0 : 0:{}:{}

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

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

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

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

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

   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),(6,1)}
       5:{1}:{(4,1)}
       6:{2}:{(4,1)}

   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),(6,1)}
       5:{1}:{(4,1)}
       6:{2}:{(4,1)}

   8 : 0:{1,2}:{(1,1)}
       1:{3}:{(0,1),(2,1)}
       2:{4}:{(1,1),(3,1)}
       3:{5}:{(2,1),(4,1)}
       4:{6}:{(3,1),(5,1)}
       5:{7}:{(4,1)}

   9 :  0:{1,4}:{(1,1),(2,1),(7,1)}
        1:{3}:{(0,1),(3,1)}
        2:{1,5}:{(0,1),(4,1),(5,1),(18,1)}
        3:{2}:{(1,1)}
        4:{3,5}:{(1,1),(2,1),(6,1),(7,1),(8,1),(14,1),(16,1)}
        5:{1,6}:{(2,1),(8,1),(9,1)}
        6:{2,5}:{(3,1),(4,1),(10,1),(11,1)}
        7:{4}:{(4,1)}
        8:{3,6}:{(4,1),(5,1),(11,1),(12,1),(13,1)}
        9:{1,7}:{(5,1),(13,1)}
       10:{2,4}:{(6,1),(7,1),(14,1)}
       11:{2,6}:{(6,1),(8,1),(15,1)}
       12:{4,6}:{(7,1),(8,1),(16,1),(17,1),(20,1)}
       13:{3,7}:{(8,1),(9,1),(15,1),(17,1)}
       14:{3}:{(10,1),(18,1)}
       15:{2,7}:{(11,1),(13,1)}
       16:{5}:{(12,1)}
       17:{4,7}:{(12,1),(13,1),(19,1)}
       18:{1}:{(14,1)}
       19:{5,7}:{(16,1),(17,1),(20,1)}
       20:{6}:{(19,1)}

  10 :  0:{1,5}:{(1,1),(2,1),(3,1),(18,1)}
        1:{3,5}:{(0,1),(4,1),(5,1),(6,1),(7,1),(14,1),(16,1)}
        2:{1,4}:{(0,1),(5,1),(7,1)}
        3:{1,6}:{(0,1),(6,1),(8,1)}
        4:{2,5}:{(1,1),(9,1),(10,1),(13,1)}
        5:{4}:{(1,1)}
        6:{3,6}:{(1,1),(3,1),(10,1),(11,1),(12,1)}
        7:{3}:{(2,1),(13,1)}
        8:{1,7}:{(3,1),(12,1)}
        9:{2,4}:{(4,1),(5,1),(14,1)}
       10:{2,6}:{(4,1),(6,1),(15,1)}
       11:{4,6}:{(5,1),(6,1),(16,1),(17,1),(20,1)}
       12:{3,7}:{(6,1),(8,1),(15,1),(17,1)}
       13:{2}:{(7,1)}
       14:{3}:{(9,1),(18,1)}
       15:{2,7}:{(10,1),(12,1)}
       16:{5}:{(11,1)}
       17:{4,7}:{(11,1),(12,1),(19,1)}
       18:{1}:{(14,1)}
       19:{5,7}:{(16,1),(17,1),(20,1)}
       20:{6}:{(19,1)}

  11 :  0:{1,6}:{(1,1),(2,1),(3,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1),(7,1)}
        2:{1,5}:{(0,1),(6,1),(8,1),(20,1)}
        3:{1,7}:{(0,1),(7,1)}
        4:{2,6}:{(1,1),(9,1),(10,1)}
        5:{4,6}:{(1,1),(11,1),(12,1),(13,1),(19,1)}
        6:{3,5}:{(1,1),(2,1),(9,1),(11,1),(13,1),(14,1),(18,1)}
        7:{3,7}:{(1,1),(3,1),(10,1),(12,1)}
        8:{1,4}:{(2,1),(13,1),(14,1)}
        9:{2,5}:{(4,1),(6,1),(15,1),(17,1)}
       10:{2,7}:{(4,1),(7,1)}
       11:{5}:{(5,1)}
       12:{4,7}:{(5,1),(7,1),(16,1)}
       13:{4}:{(6,1)}
       14:{3}:{(8,1),(17,1)}
       15:{2,4}:{(9,1),(13,1),(18,1)}
       16:{5,7}:{(11,1),(12,1),(19,1)}
       17:{2}:{(14,1)}
       18:{3}:{(15,1),(20,1)}
       19:{6}:{(16,1)}
       20:{1}:{(18,1)}

  12 :  0:{1,7}:{(1,1),(2,1)}
        1:{3,7}:{(0,1),(3,1),(4,1),(5,1)}
        2:{1,6}:{(0,1),(5,1),(6,1)}
        3:{2,7}:{(1,1),(7,1)}
        4:{4,7}:{(1,1),(8,1),(9,1)}
        5:{3,6}:{(1,1),(2,1),(7,1),(9,1),(10,1)}
        6:{1,5}:{(2,1),(10,1),(11,1),(20,1)}
        7:{2,6}:{(3,1),(5,1),(12,1)}
        8:{5,7}:{(4,1),(13,1),(14,1)}
        9:{4,6}:{(4,1),(5,1),(13,1),(14,1),(15,1)}
       10:{3,5}:{(5,1),(6,1),(12,1),(14,1),(15,1),(16,1),(19,1)}
       11:{1,4}:{(6,1),(15,1),(16,1)}
       12:{2,5}:{(7,1),(10,1),(17,1),(18,1)}
       13:{6}:{(8,1)}
       14:{5}:{(9,1)}
       15:{4}:{(10,1)}
       16:{3}:{(11,1),(18,1)}
       17:{2,4}:{(12,1),(15,1),(19,1)}
       18:{2}:{(16,1)}
       19:{3}:{(17,1),(20,1)}
       20:{1}:{(19,1)}

  13 :  0:{2,4}:{(1,1),(2,1),(7,1)}
        1:{3}:{(0,1),(3,1)}
        2:{2,5}:{(0,1),(4,1),(5,1),(18,1)}
        3:{1}:{(1,1)}
        4:{3,5}:{(1,1),(2,1),(6,1),(7,1),(8,1),(14,1),(16,1)}
        5:{2,6}:{(2,1),(8,1),(9,1)}
        6:{1,5}:{(3,1),(4,1),(10,1),(11,1)}
        7:{4}:{(4,1)}
        8:{3,6}:{(4,1),(5,1),(11,1),(12,1),(13,1)}
        9:{2,7}:{(5,1),(13,1)}
       10:{1,4}:{(6,1),(7,1),(14,1)}
       11:{1,6}:{(6,1),(8,1),(15,1)}
       12:{4,6}:{(7,1),(8,1),(16,1),(17,1),(20,1)}
       13:{3,7}:{(8,1),(9,1),(15,1),(17,1)}
       14:{3}:{(10,1),(18,1)}
       15:{1,7}:{(11,1),(13,1)}
       16:{5}:{(12,1)}
       17:{4,7}:{(12,1),(13,1),(19,1)}
       18:{2}:{(14,1)}
       19:{5,7}:{(16,1),(17,1),(20,1)}
       20:{6}:{(19,1)}

  14 :  0:{2,5}:{(1,1),(2,1),(3,1),(18,1)}
        1:{3,5}:{(0,1),(4,1),(5,1),(6,1),(7,1),(14,1),(16,1)}
        2:{2,4}:{(0,1),(5,1),(7,1)}
        3:{2,6}:{(0,1),(6,1),(8,1)}
        4:{1,5}:{(1,1),(9,1),(10,1),(13,1)}
        5:{4}:{(1,1)}
        6:{3,6}:{(1,1),(3,1),(10,1),(11,1),(12,1)}
        7:{3}:{(2,1),(13,1)}
        8:{2,7}:{(3,1),(12,1)}
        9:{1,4}:{(4,1),(5,1),(14,1)}
       10:{1,6}:{(4,1),(6,1),(15,1)}
       11:{4,6}:{(5,1),(6,1),(16,1),(17,1),(20,1)}
       12:{3,7}:{(6,1),(8,1),(15,1),(17,1)}
       13:{1}:{(7,1)}
       14:{3}:{(9,1),(18,1)}
       15:{1,7}:{(10,1),(12,1)}
       16:{5}:{(11,1)}
       17:{4,7}:{(11,1),(12,1),(19,1)}
       18:{2}:{(14,1)}
       19:{5,7}:{(16,1),(17,1),(20,1)}
       20:{6}:{(19,1)}

  15 :  0:{2,6}:{(1,1),(2,1),(3,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1),(7,1)}
        2:{2,5}:{(0,1),(6,1),(8,1),(20,1)}
        3:{2,7}:{(0,1),(7,1)}
        4:{1,6}:{(1,1),(9,1),(10,1)}
        5:{4,6}:{(1,1),(11,1),(12,1),(13,1),(19,1)}
        6:{3,5}:{(1,1),(2,1),(9,1),(11,1),(13,1),(14,1),(18,1)}
        7:{3,7}:{(1,1),(3,1),(10,1),(12,1)}
        8:{2,4}:{(2,1),(13,1),(14,1)}
        9:{1,5}:{(4,1),(6,1),(15,1),(17,1)}
       10:{1,7}:{(4,1),(7,1)}
       11:{5}:{(5,1)}
       12:{4,7}:{(5,1),(7,1),(16,1)}
       13:{4}:{(6,1)}
       14:{3}:{(8,1),(17,1)}
       15:{1,4}:{(9,1),(13,1),(18,1)}
       16:{5,7}:{(11,1),(12,1),(19,1)}
       17:{1}:{(14,1)}
       18:{3}:{(15,1),(20,1)}
       19:{6}:{(16,1)}
       20:{2}:{(18,1)}

  16 :  0:{2,7}:{(1,1),(2,1)}
        1:{3,7}:{(0,1),(3,1),(4,1),(5,1)}
        2:{2,6}:{(0,1),(5,1),(6,1)}
        3:{1,7}:{(1,1),(7,1)}
        4:{4,7}:{(1,1),(8,1),(9,1)}
        5:{3,6}:{(1,1),(2,1),(7,1),(9,1),(10,1)}
        6:{2,5}:{(2,1),(10,1),(11,1),(20,1)}
        7:{1,6}:{(3,1),(5,1),(12,1)}
        8:{5,7}:{(4,1),(13,1),(14,1)}
        9:{4,6}:{(4,1),(5,1),(13,1),(14,1),(15,1)}
       10:{3,5}:{(5,1),(6,1),(12,1),(14,1),(15,1),(16,1),(19,1)}
       11:{2,4}:{(6,1),(15,1),(16,1)}
       12:{1,5}:{(7,1),(10,1),(17,1),(18,1)}
       13:{6}:{(8,1)}
       14:{5}:{(9,1)}
       15:{4}:{(10,1)}
       16:{3}:{(11,1),(18,1)}
       17:{1,4}:{(12,1),(15,1),(19,1)}
       18:{1}:{(16,1)}
       19:{3}:{(17,1),(20,1)}
       20:{2}:{(19,1)}

  17 :  0:{3,5}:{(1,1),(2,1),(3,1),(4,1),(11,1),(13,1),(15,1)}
        1:{1,5}:{(0,1),(5,1),(6,1),(18,1)}
        2:{2,5}:{(0,1),(7,1),(8,1),(17,1)}
        3:{4}:{(0,1)}
        4:{3,6}:{(0,1),(6,1),(8,1),(9,1),(10,1)}
        5:{1,4}:{(1,1),(3,1),(11,1)}
        6:{1,6}:{(1,1),(4,1),(12,1)}
        7:{2,4}:{(2,1),(3,1),(13,1)}
        8:{2,6}:{(2,1),(4,1),(14,1)}
        9:{4,6}:{(3,1),(4,1),(15,1),(16,1),(20,1)}
       10:{3,7}:{(4,1),(12,1),(14,1),(16,1)}
       11:{3}:{(5,1),(17,1)}
       12:{1,7}:{(6,1),(10,1)}
       13:{3}:{(7,1),(18,1)}
       14:{2,7}:{(8,1),(10,1)}
       15:{5}:{(9,1)}
       16:{4,7}:{(9,1),(10,1),(19,1)}
       17:{2}:{(11,1)}
       18:{1}:{(13,1)}
       19:{5,7}:{(15,1),(16,1),(20,1)}
       20:{6}:{(19,1)}

  18 :  0:{3,6}:{(1,1),(2,1),(3,1),(4,1),(5,1)}
        1:{1,6}:{(0,1),(6,1),(7,1)}
        2:{2,6}:{(0,1),(8,1),(9,1)}
        3:{4,6}:{(0,1),(10,1),(11,1),(12,1),(18,1)}
        4:{3,5}:{(0,1),(6,1),(8,1),(10,1),(12,1),(16,1),(17,1)}
        5:{3,7}:{(0,1),(7,1),(9,1),(11,1)}
        6:{1,5}:{(1,1),(4,1),(13,1),(20,1)}
        7:{1,7}:{(1,1),(5,1)}
        8:{2,5}:{(2,1),(4,1),(14,1),(19,1)}
        9:{2,7}:{(2,1),(5,1)}
       10:{5}:{(3,1)}
       11:{4,7}:{(3,1),(5,1),(15,1)}
       12:{4}:{(4,1)}
       13:{1,4}:{(6,1),(12,1),(16,1)}
       14:{2,4}:{(8,1),(12,1),(17,1)}
       15:{5,7}:{(10,1),(11,1),(18,1)}
       16:{3}:{(13,1),(19,1)}
       17:{3}:{(14,1),(20,1)}
       18:{6}:{(15,1)}
       19:{2}:{(16,1)}
       20:{1}:{(17,1)}

  19 :  0:{3,7}:{(1,1),(2,1),(3,1),(4,1)}
        1:{1,7}:{(0,1),(5,1)}
        2:{2,7}:{(0,1),(6,1)}
        3:{4,7}:{(0,1),(7,1),(8,1)}
        4:{3,6}:{(0,1),(5,1),(6,1),(8,1),(9,1)}
        5:{1,6}:{(1,1),(4,1),(10,1)}
        6:{2,6}:{(2,1),(4,1),(11,1)}
        7:{5,7}:{(3,1),(12,1),(13,1)}
        8:{4,6}:{(3,1),(4,1),(12,1),(13,1),(14,1)}
        9:{3,5}:{(4,1),(10,1),(11,1),(13,1),(14,1),(17,1),(18,1)}
       10:{1,5}:{(5,1),(9,1),(15,1),(20,1)}
       11:{2,5}:{(6,1),(9,1),(16,1),(19,1)}
       12:{6}:{(7,1)}
       13:{5}:{(8,1)}
       14:{4}:{(9,1)}
       15:{1,4}:{(10,1),(14,1),(17,1)}
       16:{2,4}:{(11,1),(14,1),(18,1)}
       17:{3}:{(15,1),(19,1)}
       18:{3}:{(16,1),(20,1)}
       19:{2}:{(17,1)}
       20:{1}:{(18,1)}

  20 :  0:{4,6}:{(1,1),(2,1),(3,1),(13,1),(14,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1),(7,1)}
        2:{5}:{(0,1)}
        3:{4,7}:{(0,1),(7,1),(8,1)}
        4:{1,6}:{(1,1),(9,1),(10,1)}
        5:{2,6}:{(1,1),(11,1),(12,1)}
        6:{3,5}:{(1,1),(2,1),(9,1),(11,1),(13,1),(17,1),(18,1)}
        7:{3,7}:{(1,1),(3,1),(10,1),(12,1)}
        8:{5,7}:{(2,1),(3,1),(14,1)}
        9:{1,5}:{(4,1),(6,1),(15,1),(20,1)}
       10:{1,7}:{(4,1),(7,1)}
       11:{2,5}:{(5,1),(6,1),(16,1),(19,1)}
       12:{2,7}:{(5,1),(7,1)}
       13:{4}:{(6,1)}
       14:{6}:{(8,1)}
       15:{1,4}:{(9,1),(13,1),(17,1)}
       16:{2,4}:{(11,1),(13,1),(18,1)}
       17:{3}:{(15,1),(19,1)}
       18:{3}:{(16,1),(20,1)}
       19:{2}:{(17,1)}
       20:{1}:{(18,1)}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

  35 : 0:{1,2}:{(1,1)}
       1:{3}:{(0,1),(2,1)}
       2:{4}:{(1,1),(3,1)}
       3:{5}:{(2,1),(4,1)}
       4:{6}:{(3,1),(5,1)}
       5:{7}:{(4,1)}

  36 :  0:{1,4}:{(1,1),(2,1),(7,1)}
        1:{3}:{(0,1),(3,1)}
        2:{1,5}:{(0,1),(4,1),(5,1),(18,1)}
        3:{2}:{(1,1)}
        4:{3,5}:{(1,1),(2,1),(6,1),(7,1),(8,1),(14,1),(16,1)}
        5:{1,6}:{(2,1),(8,1),(9,1)}
        6:{2,5}:{(3,1),(4,1),(10,1),(11,1)}
        7:{4}:{(4,1)}
        8:{3,6}:{(4,1),(5,1),(11,1),(12,1),(13,1)}
        9:{1,7}:{(5,1),(13,1)}
       10:{2,4}:{(6,1),(7,1),(14,1)}
       11:{2,6}:{(6,1),(8,1),(15,1)}
       12:{4,6}:{(7,1),(8,1),(16,1),(17,1),(20,1)}
       13:{3,7}:{(8,1),(9,1),(15,1),(17,1)}
       14:{3}:{(10,1),(18,1)}
       15:{2,7}:{(11,1),(13,1)}
       16:{5}:{(12,1)}
       17:{4,7}:{(12,1),(13,1),(19,1)}
       18:{1}:{(14,1)}
       19:{5,7}:{(16,1),(17,1),(20,1)}
       20:{6}:{(19,1)}

  37 :  0:{2,4}:{(1,1),(2,1),(7,1)}
        1:{3}:{(0,1),(3,1)}
        2:{2,5}:{(0,1),(4,1),(5,1),(18,1)}
        3:{1}:{(1,1)}
        4:{3,5}:{(1,1),(2,1),(6,1),(7,1),(8,1),(14,1),(16,1)}
        5:{2,6}:{(2,1),(8,1),(9,1)}
        6:{1,5}:{(3,1),(4,1),(10,1),(11,1)}
        7:{4}:{(4,1)}
        8:{3,6}:{(4,1),(5,1),(11,1),(12,1),(13,1)}
        9:{2,7}:{(5,1),(13,1)}
       10:{1,4}:{(6,1),(7,1),(14,1)}
       11:{1,6}:{(6,1),(8,1),(15,1)}
       12:{4,6}:{(7,1),(8,1),(16,1),(17,1),(20,1)}
       13:{3,7}:{(8,1),(9,1),(15,1),(17,1)}
       14:{3}:{(10,1),(18,1)}
       15:{1,7}:{(11,1),(13,1)}
       16:{5}:{(12,1)}
       17:{4,7}:{(12,1),(13,1),(19,1)}
       18:{2}:{(14,1)}
       19:{5,7}:{(16,1),(17,1),(20,1)}
       20:{6}:{(19,1)}

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

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

  40 :  0:{3,5}:{(1,1),(2,1),(3,1),(4,1),(11,1),(13,1),(15,1)}
        1:{1,5}:{(0,1),(5,1),(6,1),(18,1)}
        2:{2,5}:{(0,1),(7,1),(8,1),(17,1)}
        3:{4}:{(0,1)}
        4:{3,6}:{(0,1),(6,1),(8,1),(9,1),(10,1)}
        5:{1,4}:{(1,1),(3,1),(11,1)}
        6:{1,6}:{(1,1),(4,1),(12,1)}
        7:{2,4}:{(2,1),(3,1),(13,1)}
        8:{2,6}:{(2,1),(4,1),(14,1)}
        9:{4,6}:{(3,1),(4,1),(15,1),(16,1),(20,1)}
       10:{3,7}:{(4,1),(12,1),(14,1),(16,1)}
       11:{3}:{(5,1),(17,1)}
       12:{1,7}:{(6,1),(10,1)}
       13:{3}:{(7,1),(18,1)}
       14:{2,7}:{(8,1),(10,1)}
       15:{5}:{(9,1)}
       16:{4,7}:{(9,1),(10,1),(19,1)}
       17:{2}:{(11,1)}
       18:{1}:{(13,1)}
       19:{5,7}:{(15,1),(16,1),(20,1)}
       20:{6}:{(19,1)}

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

  42 :  0:{4,6}:{(1,1),(2,1),(3,1),(13,1),(14,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1),(7,1)}
        2:{5}:{(0,1)}
        3:{4,7}:{(0,1),(7,1),(8,1)}
        4:{1,6}:{(1,1),(9,1),(10,1)}
        5:{2,6}:{(1,1),(11,1),(12,1)}
        6:{3,5}:{(1,1),(2,1),(9,1),(11,1),(13,1),(17,1),(18,1)}
        7:{3,7}:{(1,1),(3,1),(10,1),(12,1)}
        8:{5,7}:{(2,1),(3,1),(14,1)}
        9:{1,5}:{(4,1),(6,1),(15,1),(20,1)}
       10:{1,7}:{(4,1),(7,1)}
       11:{2,5}:{(5,1),(6,1),(16,1),(19,1)}
       12:{2,7}:{(5,1),(7,1)}
       13:{4}:{(6,1)}
       14:{6}:{(8,1)}
       15:{1,4}:{(9,1),(13,1),(17,1)}
       16:{2,4}:{(11,1),(13,1),(18,1)}
       17:{3}:{(15,1),(19,1)}
       18:{3}:{(16,1),(20,1)}
       19:{2}:{(17,1)}
       20:{1}:{(18,1)}

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

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

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

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

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

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

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

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

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

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

  53 :  0:{2,4}:{(1,1),(2,1),(7,1)}
        1:{3}:{(0,1),(3,1)}
        2:{2,5}:{(0,1),(4,1),(5,1),(18,1)}
        3:{1}:{(1,1)}
        4:{3,5}:{(1,1),(2,1),(6,1),(7,1),(8,1),(14,1),(16,1)}
        5:{2,6}:{(2,1),(8,1),(9,1)}
        6:{1,5}:{(3,1),(4,1),(10,1),(11,1)}
        7:{4}:{(4,1)}
        8:{3,6}:{(4,1),(5,1),(11,1),(12,1),(13,1)}
        9:{2,7}:{(5,1),(13,1)}
       10:{1,4}:{(6,1),(7,1),(14,1)}
       11:{1,6}:{(6,1),(8,1),(15,1)}
       12:{4,6}:{(7,1),(8,1),(16,1),(17,1),(20,1)}
       13:{3,7}:{(8,1),(9,1),(15,1),(17,1)}
       14:{3}:{(10,1),(18,1)}
       15:{1,7}:{(11,1),(13,1)}
       16:{5}:{(12,1)}
       17:{4,7}:{(12,1),(13,1),(19,1)}
       18:{2}:{(14,1)}
       19:{5,7}:{(16,1),(17,1),(20,1)}
       20:{6}:{(19,1)}

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

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

  56 :  0:{1,4,6}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,5}:{(0,1),(5,1),(21,1),(24,1)}
        3:{1,4,7}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{2,6}:{(1,1),(8,1),(9,1)}
        5:{3,5}:{(1,1),(2,1),(8,1),(10,1),(17,1)}
        6:{3,7}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,5,7}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{2,5}:{(4,1),(5,1),(13,1)}
        9:{2,7}:{(4,1),(6,1),(34,1)}
       10:{4}:{(5,1)}
       11:{3,5,7}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,6}:{(7,1),(16,1)}
       13:{2,4}:{(8,1),(10,1),(17,1)}
       14:{2,5,7}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{4,7}:{(10,1),(11,1),(20,1),(31,1)}
       16:{3,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{3}:{(13,1),(21,1)}
       18:{2,4,7}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{2,6}:{(14,1),(16,1)}
       20:{4,6}:{(15,1),(16,1),(24,1)}
       21:{1}:{(17,1)}
       22:{3,7}:{(17,1),(18,1),(25,1),(26,1)}
       23:{2,4,6}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{5}:{(20,1)}
       25:{1,7}:{(21,1),(22,1),(28,1)}
       26:{3,6}:{(22,1),(23,1),(28,1),(29,1)}
       27:{2,5}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,6}:{(25,1),(26,1),(30,1)}
       29:{3,5}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,5}:{(28,1),(29,1),(32,1)}
       31:{4}:{(29,1)}
       32:{1,4}:{(30,1),(31,1),(33,1)}
       33:{3}:{(32,1),(34,1)}
       34:{2}:{(33,1)}

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

  58 :  0:{1,5,7}:{(1,1),(2,1),(3,1),(14,1),(20,1),(28,1)}
        1:{3,5,7}:{(0,1),(4,1),(5,1),(6,1),(7,1),(15,1),(17,1),(19,1),(26,1)}
        2:{1,4,7}:{(0,1),(5,1),(7,1),(8,1),(31,1)}
        3:{1,6}:{(0,1),(6,1)}
        4:{2,5,7}:{(1,1),(9,1),(10,1),(12,1),(22,1),(23,1)}
        5:{4,7}:{(1,1),(11,1),(24,1),(29,1)}
        6:{3,6}:{(1,1),(3,1),(10,1),(11,1)}
        7:{3,7}:{(2,1),(12,1),(13,1),(33,1)}
        8:{1,4,6}:{(2,1),(3,1),(11,1),(13,1),(14,1),(24,1)}
        9:{2,4,7}:{(4,1),(5,1),(15,1),(16,1),(27,1)}
       10:{2,6}:{(4,1),(6,1)}
       11:{4,6}:{(5,1),(6,1),(17,1)}
       12:{2,7}:{(7,1),(18,1),(34,1)}
       13:{3,6}:{(7,1),(8,1),(18,1),(19,1)}
       14:{1,5}:{(8,1),(17,1),(19,1),(32,1)}
       15:{3,7}:{(9,1),(20,1),(21,1),(30,1)}
       16:{2,4,6}:{(9,1),(10,1),(11,1),(21,1),(22,1),(29,1)}
       17:{5}:{(11,1)}
       18:{2,6}:{(12,1),(13,1),(23,1)}
       19:{3,5}:{(13,1),(14,1),(23,1),(24,1),(30,1)}
       20:{1,7}:{(15,1),(25,1),(32,1)}
       21:{3,6}:{(15,1),(16,1),(25,1),(26,1)}
       22:{2,5}:{(16,1),(17,1),(26,1),(34,1)}
       23:{2,5}:{(18,1),(19,1),(27,1)}
       24:{4}:{(19,1)}
       25:{1,6}:{(20,1),(21,1),(28,1)}
       26:{3,5}:{(21,1),(22,1),(28,1),(29,1),(33,1)}
       27:{2,4}:{(23,1),(24,1),(30,1)}
       28:{1,5}:{(25,1),(26,1),(31,1)}
       29:{4}:{(26,1)}
       30:{3}:{(27,1),(32,1)}
       31:{1,4}:{(28,1),(29,1),(33,1)}
       32:{1}:{(30,1)}
       33:{3}:{(31,1),(34,1)}
       34:{2}:{(33,1)}

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

  60 :  0:{1,4}:{(1,1),(2,1),(7,1)}
        1:{3}:{(0,1),(3,1)}
        2:{1,5}:{(0,1),(4,1),(5,1),(18,1)}
        3:{2}:{(1,1)}
        4:{3,5}:{(1,1),(2,1),(6,1),(7,1),(8,1),(14,1),(16,1)}
        5:{1,6}:{(2,1),(8,1),(9,1)}
        6:{2,5}:{(3,1),(4,1),(10,1),(11,1)}
        7:{4}:{(4,1)}
        8:{3,6}:{(4,1),(5,1),(11,1),(12,1),(13,1)}
        9:{1,7}:{(5,1),(13,1)}
       10:{2,4}:{(6,1),(7,1),(14,1)}
       11:{2,6}:{(6,1),(8,1),(15,1)}
       12:{4,6}:{(7,1),(8,1),(16,1),(17,1),(20,1)}
       13:{3,7}:{(8,1),(9,1),(15,1),(17,1)}
       14:{3}:{(10,1),(18,1)}
       15:{2,7}:{(11,1),(13,1)}
       16:{5}:{(12,1)}
       17:{4,7}:{(12,1),(13,1),(19,1)}
       18:{1}:{(14,1)}
       19:{5,7}:{(16,1),(17,1),(20,1)}
       20:{6}:{(19,1)}

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

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

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

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

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

  66 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1)}
        2:{2,5}:{(0,1),(5,1),(21,1),(24,1)}
        3:{2,4,7}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,6}:{(1,1),(8,1),(9,1)}
        5:{3,5}:{(1,1),(2,1),(8,1),(10,1),(17,1)}
        6:{3,7}:{(1,1),(3,1),(9,1),(33,1)}
        7:{2,5,7}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,5}:{(4,1),(5,1),(13,1)}
        9:{1,7}:{(4,1),(6,1),(34,1)}
       10:{4}:{(5,1)}
       11:{3,5,7}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{2,6}:{(7,1),(16,1)}
       13:{1,4}:{(8,1),(10,1),(17,1)}
       14:{1,5,7}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{4,7}:{(10,1),(11,1),(20,1),(31,1)}
       16:{3,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{3}:{(13,1),(21,1)}
       18:{1,4,7}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,6}:{(14,1),(16,1)}
       20:{4,6}:{(15,1),(16,1),(24,1)}
       21:{2}:{(17,1)}
       22:{3,7}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,4,6}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{5}:{(20,1)}
       25:{2,7}:{(21,1),(22,1),(28,1)}
       26:{3,6}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,5}:{(23,1),(24,1),(29,1),(34,1)}
       28:{2,6}:{(25,1),(26,1),(30,1)}
       29:{3,5}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{2,5}:{(28,1),(29,1),(32,1)}
       31:{4}:{(29,1)}
       32:{2,4}:{(30,1),(31,1),(33,1)}
       33:{3}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

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

  68 :  0:{2,5,7}:{(1,1),(2,1),(3,1),(14,1),(20,1),(28,1)}
        1:{3,5,7}:{(0,1),(4,1),(5,1),(6,1),(7,1),(15,1),(17,1),(19,1),(26,1)}
        2:{2,4,7}:{(0,1),(5,1),(7,1),(8,1),(31,1)}
        3:{2,6}:{(0,1),(6,1)}
        4:{1,5,7}:{(1,1),(9,1),(10,1),(12,1),(22,1),(23,1)}
        5:{4,7}:{(1,1),(11,1),(24,1),(29,1)}
        6:{3,6}:{(1,1),(3,1),(10,1),(11,1)}
        7:{3,7}:{(2,1),(12,1),(13,1),(33,1)}
        8:{2,4,6}:{(2,1),(3,1),(11,1),(13,1),(14,1),(24,1)}
        9:{1,4,7}:{(4,1),(5,1),(15,1),(16,1),(27,1)}
       10:{1,6}:{(4,1),(6,1)}
       11:{4,6}:{(5,1),(6,1),(17,1)}
       12:{1,7}:{(7,1),(18,1),(34,1)}
       13:{3,6}:{(7,1),(8,1),(18,1),(19,1)}
       14:{2,5}:{(8,1),(17,1),(19,1),(32,1)}
       15:{3,7}:{(9,1),(20,1),(21,1),(30,1)}
       16:{1,4,6}:{(9,1),(10,1),(11,1),(21,1),(22,1),(29,1)}
       17:{5}:{(11,1)}
       18:{1,6}:{(12,1),(13,1),(23,1)}
       19:{3,5}:{(13,1),(14,1),(23,1),(24,1),(30,1)}
       20:{2,7}:{(15,1),(25,1),(32,1)}
       21:{3,6}:{(15,1),(16,1),(25,1),(26,1)}
       22:{1,5}:{(16,1),(17,1),(26,1),(34,1)}
       23:{1,5}:{(18,1),(19,1),(27,1)}
       24:{4}:{(19,1)}
       25:{2,6}:{(20,1),(21,1),(28,1)}
       26:{3,5}:{(21,1),(22,1),(28,1),(29,1),(33,1)}
       27:{1,4}:{(23,1),(24,1),(30,1)}
       28:{2,5}:{(25,1),(26,1),(31,1)}
       29:{4}:{(26,1)}
       30:{3}:{(27,1),(32,1)}
       31:{2,4}:{(28,1),(29,1),(33,1)}
       32:{2}:{(30,1)}
       33:{3}:{(31,1),(34,1)}
       34:{1}:{(33,1)}

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

  70 :  0:{1,2,4}:{(1,1),(2,1),(8,1),(9,1),(11,1),(12,1)}
        1:{3}:{(0,1)}
        2:{1,2,5}:{(0,1),(6,1),(7,1),(16,1),(17,1)}
        3:{3,4}:{(1,1),(8,1),(9,1),(10,1),(12,1),(22,1),(37,1)}
        4:{1,3}:{(1,1),(8,1),(11,1),(22,1)}
        5:{2,3}:{(1,1),(9,1),(11,1),(22,1)}
        6:{3,5}:{(1,1),(2,1),(12,1),(13,1),(28,1)}
        7:{1,2,6}:{(2,1),(13,1),(14,1),(24,1),(25,1)}
        8:{1,4}:{(3,1),(4,1),(16,1)}
        9:{2,4}:{(3,1),(5,1),(17,1)}
       10:{3,5}:{(3,1),(16,1),(17,1),(18,1),(19,1)}
       11:{1,2}:{(4,1),(5,1)}
       12:{4}:{(6,1)}
       13:{3,6}:{(6,1),(7,1),(20,1),(21,1)}
       14:{1,2,7}:{(7,1),(21,1),(32,1),(33,1)}
       15:{1,2,4}:{(8,1),(9,1),(11,1),(22,1),(23,1),(37,1)}
       16:{1,5}:{(8,1),(10,1),(24,1)}
       17:{2,5}:{(9,1),(10,1),(25,1)}
       18:{4,5}:{(10,1),(12,1),(26,1),(28,1),(37,1),(45,1)}
       19:{3,6}:{(10,1),(24,1),(25,1),(26,1),(27,1)}
       20:{4,6}:{(12,1),(13,1),(28,1),(29,1),(41,1)}
       21:{3,7}:{(13,1),(14,1),(29,1)}
       22:{3}:{(15,1)}
       23:{1,2,5}:{(15,1),(16,1),(17,1),(30,1),(31,1)}
       24:{1,6}:{(16,1),(19,1),(32,1)}
       25:{2,6}:{(17,1),(19,1),(33,1)}
       26:{4,6}:{(18,1),(19,1),(34,1),(35,1)}
       27:{3,7}:{(19,1),(32,1),(33,1),(35,1)}
       28:{5}:{(20,1)}
       29:{4,7}:{(20,1),(21,1),(36,1)}
       30:{3,5}:{(22,1),(23,1),(37,1),(38,1),(45,1)}
       31:{1,2,6}:{(23,1),(24,1),(25,1),(38,1),(39,1)}
       32:{1,7}:{(24,1),(27,1)}
       33:{2,7}:{(25,1),(27,1)}
       34:{5,6}:{(26,1),(28,1),(40,1),(41,1),(45,1),(48,1)}
       35:{4,7}:{(26,1),(27,1),(40,1)}
       36:{5,7}:{(28,1),(29,1),(41,1)}
       37:{4}:{(30,1)}
       38:{3,6}:{(30,1),(31,1),(42,1),(43,1)}
       39:{1,2,7}:{(31,1),(32,1),(33,1),(43,1)}
       40:{5,7}:{(34,1),(35,1),(44,1)}
       41:{6}:{(36,1)}
       42:{4,6}:{(37,1),(38,1),(45,1),(46,1),(48,1)}
       43:{3,7}:{(38,1),(39,1),(46,1)}
       44:{6,7}:{(40,1),(41,1),(48,1)}
       45:{5}:{(42,1)}
       46:{4,7}:{(42,1),(43,1),(47,1)}
       47:{5,7}:{(45,1),(46,1),(48,1)}
       48:{6}:{(47,1)}

  71 :  0:{1,2,5}:{(1,1),(2,1),(3,1),(21,1),(22,1)}
        1:{3,5}:{(0,1),(4,1),(5,1),(6,1),(18,1)}
        2:{1,2,4}:{(0,1),(4,1),(6,1),(16,1),(17,1),(20,1)}
        3:{1,2,6}:{(0,1),(5,1),(7,1),(29,1),(30,1)}
        4:{4}:{(1,1)}
        5:{3,6}:{(1,1),(3,1),(10,1),(11,1)}
        6:{3}:{(2,1)}
        7:{1,2,7}:{(3,1),(11,1),(37,1),(38,1)}
        8:{4,5}:{(4,1),(14,1),(15,1),(18,1),(40,1),(45,1)}
        9:{3,4}:{(4,1),(6,1),(14,1),(16,1),(17,1),(33,1),(40,1)}
       10:{4,6}:{(4,1),(5,1),(18,1),(19,1),(34,1)}
       11:{3,7}:{(5,1),(7,1),(19,1)}
       12:{1,3}:{(6,1),(16,1),(20,1),(33,1)}
       13:{2,3}:{(6,1),(17,1),(20,1),(33,1)}
       14:{3,5}:{(8,1),(9,1),(21,1),(22,1),(23,1)}
       15:{4,6}:{(8,1),(23,1),(24,1),(25,1)}
       16:{1,4}:{(9,1),(12,1),(21,1)}
       17:{2,4}:{(9,1),(13,1),(22,1)}
       18:{5}:{(10,1)}
       19:{4,7}:{(10,1),(11,1),(27,1)}
       20:{1,2}:{(12,1),(13,1)}
       21:{1,5}:{(14,1),(16,1),(29,1)}
       22:{2,5}:{(14,1),(17,1),(30,1)}
       23:{3,6}:{(14,1),(15,1),(29,1),(30,1),(31,1)}
       24:{5,6}:{(15,1),(18,1),(32,1),(34,1),(45,1),(48,1)}
       25:{4,7}:{(15,1),(31,1),(32,1)}
       26:{1,2,4}:{(16,1),(17,1),(20,1),(28,1),(33,1),(40,1)}
       27:{5,7}:{(18,1),(19,1),(34,1)}
       28:{1,2,5}:{(21,1),(22,1),(26,1),(35,1),(36,1)}
       29:{1,6}:{(21,1),(23,1),(37,1)}
       30:{2,6}:{(22,1),(23,1),(38,1)}
       31:{3,7}:{(23,1),(25,1),(37,1),(38,1)}
       32:{5,7}:{(24,1),(25,1),(39,1)}
       33:{3}:{(26,1)}
       34:{6}:{(27,1)}
       35:{3,5}:{(28,1),(33,1),(40,1),(41,1),(45,1)}
       36:{1,2,6}:{(28,1),(29,1),(30,1),(41,1),(42,1)}
       37:{1,7}:{(29,1),(31,1)}
       38:{2,7}:{(30,1),(31,1)}
       39:{6,7}:{(32,1),(34,1),(48,1)}
       40:{4}:{(35,1)}
       41:{3,6}:{(35,1),(36,1),(43,1),(44,1)}
       42:{1,2,7}:{(36,1),(37,1),(38,1),(44,1)}
       43:{4,6}:{(40,1),(41,1),(45,1),(46,1),(48,1)}
       44:{3,7}:{(41,1),(42,1),(46,1)}
       45:{5}:{(43,1)}
       46:{4,7}:{(43,1),(44,1),(47,1)}
       47:{5,7}:{(45,1),(46,1),(48,1)}
       48:{6}:{(47,1)}

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

  73 :  0:{1,2,7}:{(1,1),(2,1),(36,1),(37,1)}
        1:{3,7}:{(0,1),(3,1),(4,1)}
        2:{1,2,6}:{(0,1),(4,1),(5,1),(32,1),(33,1)}
        3:{4,7}:{(1,1),(6,1),(7,1)}
        4:{3,6}:{(1,1),(2,1),(7,1),(8,1)}
        5:{1,2,5}:{(2,1),(8,1),(9,1),(28,1),(29,1)}
        6:{5,7}:{(3,1),(10,1),(11,1)}
        7:{4,6}:{(3,1),(4,1),(10,1),(11,1),(12,1)}
        8:{3,5}:{(4,1),(5,1),(11,1),(12,1),(13,1)}
        9:{1,2,4}:{(5,1),(12,1),(13,1),(23,1),(24,1),(25,1)}
       10:{6}:{(6,1)}
       11:{5}:{(7,1)}
       12:{4}:{(8,1)}
       13:{3}:{(9,1)}
       14:{6,7}:{(10,1),(20,1),(48,1)}
       15:{5,6}:{(10,1),(11,1),(20,1),(21,1),(46,1),(48,1)}
       16:{4,5}:{(11,1),(12,1),(21,1),(22,1),(42,1),(46,1)}
       17:{3,4}:{(12,1),(13,1),(22,1),(23,1),(24,1),(35,1),(42,1)}
       18:{1,3}:{(13,1),(23,1),(25,1),(35,1)}
       19:{2,3}:{(13,1),(24,1),(25,1),(35,1)}
       20:{5,7}:{(14,1),(15,1),(26,1)}
       21:{4,6}:{(15,1),(16,1),(26,1),(27,1)}
       22:{3,5}:{(16,1),(17,1),(27,1),(28,1),(29,1)}
       23:{1,4}:{(17,1),(18,1),(28,1)}
       24:{2,4}:{(17,1),(19,1),(29,1)}
       25:{1,2}:{(18,1),(19,1)}
       26:{4,7}:{(20,1),(21,1),(31,1)}
       27:{3,6}:{(21,1),(22,1),(31,1),(32,1),(33,1)}
       28:{1,5}:{(22,1),(23,1),(32,1)}
       29:{2,5}:{(22,1),(24,1),(33,1)}
       30:{1,2,4}:{(23,1),(24,1),(25,1),(34,1),(35,1),(42,1)}
       31:{3,7}:{(26,1),(27,1),(36,1),(37,1)}
       32:{1,6}:{(27,1),(28,1),(36,1)}
       33:{2,6}:{(27,1),(29,1),(37,1)}
       34:{1,2,5}:{(28,1),(29,1),(30,1),(38,1),(39,1)}
       35:{3}:{(30,1)}
       36:{1,7}:{(31,1),(32,1)}
       37:{2,7}:{(31,1),(33,1)}
       38:{1,2,6}:{(32,1),(33,1),(34,1),(40,1),(41,1)}
       39:{3,5}:{(34,1),(35,1),(41,1),(42,1),(46,1)}
       40:{1,2,7}:{(36,1),(37,1),(38,1),(43,1)}
       41:{3,6}:{(38,1),(39,1),(43,1),(44,1)}
       42:{4}:{(39,1)}
       43:{3,7}:{(40,1),(41,1),(45,1)}
       44:{4,6}:{(41,1),(42,1),(45,1),(46,1),(48,1)}
       45:{4,7}:{(43,1),(44,1),(47,1)}
       46:{5}:{(44,1)}
       47:{5,7}:{(45,1),(46,1),(48,1)}
       48:{6}:{(47,1)}

  74 :  0:{1,4,6}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,5}:{(0,1),(5,1),(21,1),(24,1)}
        3:{1,4,7}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{2,6}:{(1,1),(8,1),(9,1)}
        5:{3,5}:{(1,1),(2,1),(8,1),(10,1),(17,1)}
        6:{3,7}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,5,7}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{2,5}:{(4,1),(5,1),(13,1)}
        9:{2,7}:{(4,1),(6,1),(34,1)}
       10:{4}:{(5,1)}
       11:{3,5,7}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,6}:{(7,1),(16,1)}
       13:{2,4}:{(8,1),(10,1),(17,1)}
       14:{2,5,7}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{4,7}:{(10,1),(11,1),(20,1),(31,1)}
       16:{3,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{3}:{(13,1),(21,1)}
       18:{2,4,7}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{2,6}:{(14,1),(16,1)}
       20:{4,6}:{(15,1),(16,1),(24,1)}
       21:{1}:{(17,1)}
       22:{3,7}:{(17,1),(18,1),(25,1),(26,1)}
       23:{2,4,6}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{5}:{(20,1)}
       25:{1,7}:{(21,1),(22,1),(28,1)}
       26:{3,6}:{(22,1),(23,1),(28,1),(29,1)}
       27:{2,5}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,6}:{(25,1),(26,1),(30,1)}
       29:{3,5}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,5}:{(28,1),(29,1),(32,1)}
       31:{4}:{(29,1)}
       32:{1,4}:{(30,1),(31,1),(33,1)}
       33:{3}:{(32,1),(34,1)}
       34:{2}:{(33,1)}

  75 :  0:{1,4,7}:{(1,1),(2,1),(3,1),(11,1),(32,1)}
        1:{3,7}:{(0,1),(4,1),(6,1),(33,1)}
        2:{1,5,7}:{(0,1),(5,1),(7,1),(8,1),(23,1),(30,1)}
        3:{1,4,6}:{(0,1),(6,1),(7,1),(8,1),(17,1),(18,1)}
        4:{2,7}:{(1,1),(10,1),(34,1)}
        5:{3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(13,1),(19,1),(22,1),(28,1)}
        6:{3,6}:{(1,1),(3,1),(10,1),(13,1)}
        7:{1,6}:{(2,1),(12,1)}
        8:{1,5}:{(3,1),(13,1),(22,1),(29,1)}
        9:{2,5,7}:{(4,1),(5,1),(14,1),(15,1),(16,1),(25,1)}
       10:{2,6}:{(4,1),(6,1),(16,1)}
       11:{4,7}:{(5,1),(17,1),(18,1),(31,1)}
       12:{3,6}:{(5,1),(7,1),(15,1),(17,1)}
       13:{3,5}:{(6,1),(8,1),(16,1),(18,1),(26,1)}
       14:{2,4,7}:{(9,1),(11,1),(19,1),(20,1),(21,1)}
       15:{2,6}:{(9,1),(12,1)}
       16:{2,5}:{(10,1),(13,1),(21,1)}
       17:{4,6}:{(11,1),(12,1),(22,1)}
       18:{4}:{(13,1)}
       19:{3,7}:{(14,1),(23,1),(24,1),(26,1)}
       20:{2,4,6}:{(14,1),(15,1),(17,1),(24,1),(25,1),(31,1)}
       21:{2,4}:{(16,1),(18,1),(26,1)}
       22:{5}:{(17,1)}
       23:{1,7}:{(19,1),(27,1),(29,1)}
       24:{3,6}:{(19,1),(20,1),(27,1),(28,1)}
       25:{2,5}:{(20,1),(22,1),(28,1),(34,1)}
       26:{3}:{(21,1),(29,1)}
       27:{1,6}:{(23,1),(24,1),(30,1)}
       28:{3,5}:{(24,1),(25,1),(30,1),(31,1),(33,1)}
       29:{1}:{(26,1)}
       30:{1,5}:{(27,1),(28,1),(32,1)}
       31:{4}:{(28,1)}
       32:{1,4}:{(30,1),(31,1),(33,1)}
       33:{3}:{(32,1),(34,1)}
       34:{2}:{(33,1)}

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

  77 :  0:{2,4,7}:{(1,1),(2,1),(3,1),(11,1),(32,1)}
        1:{3,7}:{(0,1),(4,1),(6,1),(33,1)}
        2:{2,5,7}:{(0,1),(5,1),(7,1),(8,1),(23,1),(30,1)}
        3:{2,4,6}:{(0,1),(6,1),(7,1),(8,1),(17,1),(18,1)}
        4:{1,7}:{(1,1),(10,1),(34,1)}
        5:{3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(13,1),(19,1),(22,1),(28,1)}
        6:{3,6}:{(1,1),(3,1),(10,1),(13,1)}
        7:{2,6}:{(2,1),(12,1)}
        8:{2,5}:{(3,1),(13,1),(22,1),(29,1)}
        9:{1,5,7}:{(4,1),(5,1),(14,1),(15,1),(16,1),(25,1)}
       10:{1,6}:{(4,1),(6,1),(16,1)}
       11:{4,7}:{(5,1),(17,1),(18,1),(31,1)}
       12:{3,6}:{(5,1),(7,1),(15,1),(17,1)}
       13:{3,5}:{(6,1),(8,1),(16,1),(18,1),(26,1)}
       14:{1,4,7}:{(9,1),(11,1),(19,1),(20,1),(21,1)}
       15:{1,6}:{(9,1),(12,1)}
       16:{1,5}:{(10,1),(13,1),(21,1)}
       17:{4,6}:{(11,1),(12,1),(22,1)}
       18:{4}:{(13,1)}
       19:{3,7}:{(14,1),(23,1),(24,1),(26,1)}
       20:{1,4,6}:{(14,1),(15,1),(17,1),(24,1),(25,1),(31,1)}
       21:{1,4}:{(16,1),(18,1),(26,1)}
       22:{5}:{(17,1)}
       23:{2,7}:{(19,1),(27,1),(29,1)}
       24:{3,6}:{(19,1),(20,1),(27,1),(28,1)}
       25:{1,5}:{(20,1),(22,1),(28,1),(34,1)}
       26:{3}:{(21,1),(29,1)}
       27:{2,6}:{(23,1),(24,1),(30,1)}
       28:{3,5}:{(24,1),(25,1),(30,1),(31,1),(33,1)}
       29:{2}:{(26,1)}
       30:{2,5}:{(27,1),(28,1),(32,1)}
       31:{4}:{(28,1)}
       32:{2,4}:{(30,1),(31,1),(33,1)}
       33:{3}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

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

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

  80 :  0:{4,5}:{(2,1),(3,1),(32,1),(45,1)}
        1:{3,4}:{(2,1),(4,1),(5,1),(21,1),(32,1)}
        2:{3,5}:{(0,1),(1,1),(8,1),(9,1),(10,1)}
        3:{4,6}:{(0,1),(10,1),(11,1),(12,1)}
        4:{1,4}:{(1,1),(6,1),(8,1)}
        5:{2,4}:{(1,1),(7,1),(9,1)}
        6:{1,3}:{(4,1),(14,1),(21,1)}
        7:{2,3}:{(5,1),(15,1),(21,1)}
        8:{1,5}:{(2,1),(4,1),(17,1)}
        9:{2,5}:{(2,1),(5,1),(18,1)}
       10:{3,6}:{(2,1),(3,1),(17,1),(18,1),(19,1)}
       11:{5,6}:{(3,1),(20,1),(45,1),(54,1)}
       12:{4,7}:{(3,1),(19,1),(20,1)}
       13:{1,2,4}:{(4,1),(5,1),(14,1),(15,1),(16,1),(21,1),(30,1),(31,1),(32,1)}
       14:{1,2}:{(6,1),(22,1)}
       15:{1,2}:{(7,1),(23,1)}
       16:{1,2,5}:{(8,1),(9,1),(13,1),(24,1),(25,1),(36,1),(37,1)}
       17:{1,6}:{(8,1),(10,1),(26,1)}
       18:{2,6}:{(9,1),(10,1),(27,1)}
       19:{3,7}:{(10,1),(12,1),(26,1),(27,1)}
       20:{5,7}:{(11,1),(12,1),(28,1)}
       21:{3}:{(13,1)}
       22:{2,3}:{(14,1),(21,1),(30,1)}
       23:{1,3}:{(15,1),(21,1),(31,1)}
       24:{3,5}:{(16,1),(21,1),(32,1),(33,1),(45,1)}
       25:{1,2,6}:{(16,1),(17,1),(18,1),(33,1),(34,1),(42,1),(43,1)}
       26:{1,7}:{(17,1),(19,1)}
       27:{2,7}:{(18,1),(19,1)}
       28:{6,7}:{(20,1),(54,1)}
       29:{3,4}:{(21,1),(30,1),(31,1),(32,1),(35,1)}
       30:{2,4}:{(22,1),(29,1),(36,1)}
       31:{1,4}:{(23,1),(29,1),(37,1)}
       32:{4}:{(24,1)}
       33:{3,6}:{(24,1),(25,1),(39,1),(40,1)}
       34:{1,2,7}:{(25,1),(26,1),(27,1),(40,1),(48,1),(49,1)}
       35:{3,5}:{(29,1),(36,1),(37,1),(38,1),(41,1)}
       36:{2,5}:{(30,1),(35,1),(42,1)}
       37:{1,5}:{(31,1),(35,1),(43,1)}
       38:{4,5}:{(32,1),(35,1),(44,1),(45,1)}
       39:{4,6}:{(32,1),(33,1),(45,1),(46,1),(54,1)}
       40:{3,7}:{(33,1),(34,1),(46,1)}
       41:{3,6}:{(35,1),(42,1),(43,1),(44,1),(47,1)}
       42:{2,6}:{(36,1),(41,1),(48,1)}
       43:{1,6}:{(37,1),(41,1),(49,1)}
       44:{4,6}:{(38,1),(41,1),(50,1),(51,1)}
       45:{5}:{(39,1)}
       46:{4,7}:{(39,1),(40,1),(52,1)}
       47:{3,7}:{(41,1),(48,1),(49,1),(51,1)}
       48:{2,7}:{(42,1),(47,1)}
       49:{1,7}:{(43,1),(47,1)}
       50:{5,6}:{(44,1),(45,1),(53,1),(54,1)}
       51:{4,7}:{(44,1),(47,1),(53,1)}
       52:{5,7}:{(45,1),(46,1),(54,1)}
       53:{5,7}:{(50,1),(51,1),(55,1)}
       54:{6}:{(52,1)}
       55:{6,7}:{(53,1),(54,1)}

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

  82 :  0:{3,5,7}:{(1,1),(2,1),(3,1),(4,1),(10,1),(12,1),(14,1),(22,1),(24,1)}
        1:{1,5,7}:{(0,1),(5,1),(6,1),(17,1),(18,1),(27,1)}
        2:{2,5,7}:{(0,1),(7,1),(8,1),(15,1),(20,1),(25,1)}
        3:{4,7}:{(0,1),(9,1),(26,1),(28,1)}
        4:{3,6}:{(0,1),(6,1),(8,1),(9,1)}
        5:{1,4,7}:{(1,1),(3,1),(10,1),(11,1),(30,1)}
        6:{1,6}:{(1,1),(4,1)}
        7:{2,4,7}:{(2,1),(3,1),(12,1),(13,1),(29,1)}
        8:{2,6}:{(2,1),(4,1)}
        9:{4,6}:{(3,1),(4,1),(14,1)}
       10:{3,7}:{(5,1),(15,1),(16,1),(32,1)}
       11:{1,4,6}:{(5,1),(6,1),(9,1),(16,1),(17,1),(26,1)}
       12:{3,7}:{(7,1),(18,1),(19,1),(31,1)}
       13:{2,4,6}:{(7,1),(8,1),(9,1),(19,1),(20,1),(28,1)}
       14:{5}:{(9,1)}
       15:{2,7}:{(10,1),(21,1),(34,1)}
       16:{3,6}:{(10,1),(11,1),(21,1),(22,1)}
       17:{1,5}:{(11,1),(14,1),(22,1),(33,1)}
       18:{1,7}:{(12,1),(23,1),(33,1)}
       19:{3,6}:{(12,1),(13,1),(23,1),(24,1)}
       20:{2,5}:{(13,1),(14,1),(24,1),(34,1)}
       21:{2,6}:{(15,1),(16,1),(25,1)}
       22:{3,5}:{(16,1),(17,1),(25,1),(26,1),(31,1)}
       23:{1,6}:{(18,1),(19,1),(27,1)}
       24:{3,5}:{(19,1),(20,1),(27,1),(28,1),(32,1)}
       25:{2,5}:{(21,1),(22,1),(29,1)}
       26:{4}:{(22,1)}
       27:{1,5}:{(23,1),(24,1),(30,1)}
       28:{4}:{(24,1)}
       29:{2,4}:{(25,1),(26,1),(31,1)}
       30:{1,4}:{(27,1),(28,1),(32,1)}
       31:{3}:{(29,1),(33,1)}
       32:{3}:{(30,1),(34,1)}
       33:{1}:{(31,1)}
       34:{2}:{(32,1)}

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

  84 : 0:{1,2}:{(1,1)}
       1:{3}:{(0,1),(2,1)}
       2:{4}:{(1,1),(3,1)}
       3:{5}:{(2,1),(4,1)}
       4:{6}:{(3,1),(5,1)}
       5:{7}:{(4,1)}

  85 :  0:{3,5,7}:{(1,1),(2,1),(3,1),(4,1),(10,1),(12,1),(14,1),(22,1),(24,1)}
        1:{1,5,7}:{(0,1),(5,1),(6,1),(17,1),(18,1),(27,1)}
        2:{2,5,7}:{(0,1),(7,1),(8,1),(15,1),(20,1),(25,1)}
        3:{4,7}:{(0,1),(9,1),(26,1),(28,1)}
        4:{3,6}:{(0,1),(6,1),(8,1),(9,1)}
        5:{1,4,7}:{(1,1),(3,1),(10,1),(11,1),(30,1)}
        6:{1,6}:{(1,1),(4,1)}
        7:{2,4,7}:{(2,1),(3,1),(12,1),(13,1),(29,1)}
        8:{2,6}:{(2,1),(4,1)}
        9:{4,6}:{(3,1),(4,1),(14,1)}
       10:{3,7}:{(5,1),(15,1),(16,1),(32,1)}
       11:{1,4,6}:{(5,1),(6,1),(9,1),(16,1),(17,1),(26,1)}
       12:{3,7}:{(7,1),(18,1),(19,1),(31,1)}
       13:{2,4,6}:{(7,1),(8,1),(9,1),(19,1),(20,1),(28,1)}
       14:{5}:{(9,1)}
       15:{2,7}:{(10,1),(21,1),(34,1)}
       16:{3,6}:{(10,1),(11,1),(21,1),(22,1)}
       17:{1,5}:{(11,1),(14,1),(22,1),(33,1)}
       18:{1,7}:{(12,1),(23,1),(33,1)}
       19:{3,6}:{(12,1),(13,1),(23,1),(24,1)}
       20:{2,5}:{(13,1),(14,1),(24,1),(34,1)}
       21:{2,6}:{(15,1),(16,1),(25,1)}
       22:{3,5}:{(16,1),(17,1),(25,1),(26,1),(31,1)}
       23:{1,6}:{(18,1),(19,1),(27,1)}
       24:{3,5}:{(19,1),(20,1),(27,1),(28,1),(32,1)}
       25:{2,5}:{(21,1),(22,1),(29,1)}
       26:{4}:{(22,1)}
       27:{1,5}:{(23,1),(24,1),(30,1)}
       28:{4}:{(24,1)}
       29:{2,4}:{(25,1),(26,1),(31,1)}
       30:{1,4}:{(27,1),(28,1),(32,1)}
       31:{3}:{(29,1),(33,1)}
       32:{3}:{(30,1),(34,1)}
       33:{1}:{(31,1)}
       34:{2}:{(32,1)}

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

  87 :  0:{5,6}:{(2,1),(3,1),(39,1),(52,1)}
        1:{4,5}:{(2,1),(4,1),(29,1),(39,1)}
        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),(10,1)}
        5:{3,4}:{(4,1),(11,1),(12,1),(26,1),(29,1)}
        6:{3,6}:{(2,1),(4,1),(13,1),(14,1),(15,1)}
        7:{4,7}:{(2,1),(3,1),(15,1)}
        8:{6,7}:{(3,1),(52,1)}
        9:{1,5}:{(4,1),(11,1),(13,1)}
       10:{2,5}:{(4,1),(12,1),(14,1)}
       11:{1,4}:{(5,1),(9,1),(17,1)}
       12:{2,4}:{(5,1),(10,1),(18,1)}
       13:{1,6}:{(6,1),(9,1),(21,1)}
       14:{2,6}:{(6,1),(10,1),(22,1)}
       15:{3,7}:{(6,1),(7,1),(21,1),(22,1)}
       16:{1,2,5}:{(9,1),(10,1),(19,1),(20,1),(23,1),(42,1),(43,1)}
       17:{1,3}:{(11,1),(24,1),(26,1)}
       18:{2,3}:{(12,1),(25,1),(26,1)}
       19:{1,2,4}:{(11,1),(12,1),(16,1),(24,1),(25,1),(26,1),(29,1),(36,1),(37,1)}
       20:{1,2,6}:{(13,1),(14,1),(16,1),(27,1),(28,1),(48,1),(49,1)}
       21:{1,7}:{(13,1),(15,1)}
       22:{2,7}:{(14,1),(15,1)}
       23:{3,5}:{(16,1),(26,1),(27,1),(29,1),(39,1)}
       24:{1,2}:{(17,1),(30,1)}
       25:{1,2}:{(18,1),(31,1)}
       26:{3}:{(19,1)}
       27:{3,6}:{(20,1),(23,1),(33,1),(34,1)}
       28:{1,2,7}:{(20,1),(21,1),(22,1),(34,1),(53,1),(54,1)}
       29:{4}:{(23,1)}
       30:{2,3}:{(24,1),(26,1),(36,1)}
       31:{1,3}:{(25,1),(26,1),(37,1)}
       32:{3,4}:{(26,1),(29,1),(36,1),(37,1),(38,1)}
       33:{4,6}:{(27,1),(29,1),(39,1),(40,1),(52,1)}
       34:{3,7}:{(27,1),(28,1),(40,1)}
       35:{4,5}:{(29,1),(38,1),(39,1),(41,1)}
       36:{2,4}:{(30,1),(32,1),(42,1)}
       37:{1,4}:{(31,1),(32,1),(43,1)}
       38:{3,5}:{(32,1),(35,1),(42,1),(43,1),(44,1)}
       39:{5}:{(33,1)}
       40:{4,7}:{(33,1),(34,1),(46,1)}
       41:{4,6}:{(35,1),(44,1),(45,1),(47,1)}
       42:{2,5}:{(36,1),(38,1),(48,1)}
       43:{1,5}:{(37,1),(38,1),(49,1)}
       44:{3,6}:{(38,1),(41,1),(48,1),(49,1),(50,1)}
       45:{5,6}:{(39,1),(41,1),(51,1),(52,1)}
       46:{5,7}:{(39,1),(40,1),(52,1)}
       47:{4,7}:{(41,1),(50,1),(51,1)}
       48:{2,6}:{(42,1),(44,1),(53,1)}
       49:{1,6}:{(43,1),(44,1),(54,1)}
       50:{3,7}:{(44,1),(47,1),(53,1),(54,1)}
       51:{5,7}:{(45,1),(47,1),(55,1)}
       52:{6}:{(46,1)}
       53:{2,7}:{(48,1),(50,1)}
       54:{1,7}:{(49,1),(50,1)}
       55:{6,7}:{(51,1),(52,1)}

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

  89 :  0:{6,7}:{(2,1),(44,1)}
        1:{5,6}:{(2,1),(3,1),(33,1),(44,1)}
        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),(31,1),(33,1)}
        5:{4,7}:{(2,1),(3,1),(8,1)}
        6:{3,6}:{(3,1),(7,1),(8,1),(9,1),(10,1)}
        7:{3,5}:{(4,1),(6,1),(11,1),(12,1),(13,1)}
        8:{3,7}:{(5,1),(6,1),(14,1),(15,1)}
        9:{1,6}:{(6,1),(12,1),(14,1)}
       10:{2,6}:{(6,1),(13,1),(15,1)}
       11:{3,4}:{(7,1),(17,1),(18,1),(30,1),(31,1)}
       12:{1,5}:{(7,1),(9,1),(17,1)}
       13:{2,5}:{(7,1),(10,1),(18,1)}
       14:{1,7}:{(8,1),(9,1)}
       15:{2,7}:{(8,1),(10,1)}
       16:{1,2,6}:{(9,1),(10,1),(19,1),(20,1),(21,1),(51,1),(52,1)}
       17:{1,4}:{(11,1),(12,1),(22,1)}
       18:{2,4}:{(11,1),(13,1),(23,1)}
       19:{1,2,5}:{(12,1),(13,1),(16,1),(24,1),(25,1),(46,1),(47,1)}
       20:{1,2,7}:{(14,1),(15,1),(16,1),(26,1),(54,1),(55,1)}
       21:{3,6}:{(16,1),(25,1),(26,1),(27,1)}
       22:{1,3}:{(17,1),(28,1),(30,1)}
       23:{2,3}:{(18,1),(29,1),(30,1)}
       24:{1,2,4}:{(17,1),(18,1),(19,1),(28,1),(29,1),(30,1),(31,1),(40,1),(41,1)}
       25:{3,5}:{(19,1),(21,1),(30,1),(31,1),(33,1)}
       26:{3,7}:{(20,1),(21,1),(32,1)}
       27:{4,6}:{(21,1),(31,1),(32,1),(33,1),(44,1)}
       28:{1,2}:{(22,1),(34,1)}
       29:{1,2}:{(23,1),(35,1)}
       30:{3}:{(24,1)}
       31:{4}:{(25,1)}
       32:{4,7}:{(26,1),(27,1),(38,1)}
       33:{5}:{(27,1)}
       34:{2,3}:{(28,1),(30,1),(40,1)}
       35:{1,3}:{(29,1),(30,1),(41,1)}
       36:{3,4}:{(30,1),(31,1),(40,1),(41,1),(42,1)}
       37:{4,5}:{(31,1),(33,1),(42,1),(43,1)}
       38:{5,7}:{(32,1),(33,1),(44,1)}
       39:{5,6}:{(33,1),(43,1),(44,1),(45,1)}
       40:{2,4}:{(34,1),(36,1),(46,1)}
       41:{1,4}:{(35,1),(36,1),(47,1)}
       42:{3,5}:{(36,1),(37,1),(46,1),(47,1),(48,1)}
       43:{4,6}:{(37,1),(39,1),(48,1),(49,1)}
       44:{6}:{(38,1)}
       45:{5,7}:{(39,1),(49,1),(50,1)}
       46:{2,5}:{(40,1),(42,1),(51,1)}
       47:{1,5}:{(41,1),(42,1),(52,1)}
       48:{3,6}:{(42,1),(43,1),(51,1),(52,1),(53,1)}
       49:{4,7}:{(43,1),(45,1),(53,1)}
       50:{6,7}:{(44,1),(45,1)}
       51:{2,6}:{(46,1),(48,1),(54,1)}
       52:{1,6}:{(47,1),(48,1),(55,1)}
       53:{3,7}:{(48,1),(49,1),(54,1),(55,1)}
       54:{2,7}:{(51,1),(53,1)}
       55:{1,7}:{(52,1),(53,1)}

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

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

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

  93 :  0:{1,2,4,5}:{(1,1),(2,1),(9,1),(10,1),(12,1),(31,1),(33,1),(35,1)}
        1:{3,5}:{(0,1),(3,1),(6,1)}
        2:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(19,1),(20,1),(23,1),(26,1)}
        3:{3,4}:{(1,1),(9,1),(10,1),(29,1)}
        4:{1,3,5}:{(1,1),(9,1),(12,1),(13,1),(29,1),(31,1),(48,1)}
        5:{2,3,5}:{(1,1),(10,1),(12,1),(14,1),(29,1),(33,1),(48,1)}
        6:{3,6}:{(1,1),(2,1),(16,1)}
        7:{1,2,5,6}:{(2,1),(15,1),(17,1),(31,1),(33,1),(51,1),(52,1)}
        8:{1,2,4,7}:{(2,1),(16,1),(17,1),(32,1),(34,1),(37,1),(38,1)}
        9:{1,4}:{(3,1),(4,1),(55,1)}
       10:{2,4}:{(3,1),(5,1),(55,1)}
       11:{3,4,6}:{(3,1),(6,1),(19,1),(20,1),(21,1),(22,1),(26,1),(40,1),(46,1),(55,1),(61,1)}
       12:{1,2,5}:{(4,1),(5,1),(18,1),(23,1)}
       13:{1,3,6}:{(4,1),(6,1),(19,1),(23,1),(24,1),(40,1)}
       14:{2,3,6}:{(5,1),(6,1),(20,1),(23,1),(25,1),(40,1)}
       15:{3,5,6}:{(6,1),(7,1),(21,1),(26,1),(27,1),(46,1),(58,1)}
       16:{3,7}:{(6,1),(8,1)}
       17:{1,2,5,7}:{(7,1),(8,1),(27,1),(28,1),(43,1),(44,1)}
       18:{1,2,4}:{(9,1),(10,1),(12,1),(29,1)}
       19:{1,4,6}:{(9,1),(11,1),(13,1),(31,1),(32,1),(51,1)}
       20:{2,4,6}:{(10,1),(11,1),(14,1),(33,1),(34,1),(52,1)}
       21:{3,5}:{(11,1),(31,1),(33,1),(35,1),(62,1)}
       22:{3,4,7}:{(11,1),(16,1),(32,1),(34,1),(36,1),(38,1),(49,1),(59,1)}
       23:{1,2,6}:{(12,1),(13,1),(14,1),(37,1)}
       24:{1,3,7}:{(13,1),(16,1),(32,1),(37,1),(49,1)}
       25:{2,3,7}:{(14,1),(16,1),(34,1),(37,1),(49,1)}
       26:{4,6}:{(15,1),(35,1),(38,1)}
       27:{3,5,7}:{(15,1),(16,1),(17,1),(38,1),(39,1),(54,1)}
       28:{1,2,6,7}:{(17,1),(39,1),(51,1),(52,1)}
       29:{3}:{(18,1)}
       30:{1,2,4,6}:{(18,1),(19,1),(20,1),(23,1),(40,1),(41,1),(42,1),(55,1),(57,1),(61,1)}
       31:{1,5}:{(19,1),(21,1)}
       32:{1,4,7}:{(19,1),(22,1),(24,1),(43,1)}
       33:{2,5}:{(20,1),(21,1)}
       34:{2,4,7}:{(20,1),(22,1),(25,1),(44,1)}
       35:{4,5}:{(21,1),(26,1),(55,1)}
       36:{3,5,7}:{(21,1),(22,1),(43,1),(44,1),(45,1),(46,1)}
       37:{1,2,7}:{(23,1),(24,1),(25,1)}
       38:{4,7}:{(26,1),(27,1)}
       39:{3,6,7}:{(27,1),(28,1),(46,1),(47,1)}
       40:{3,6}:{(29,1),(30,1),(48,1),(49,1)}
       41:{1,2,5}:{(30,1),(31,1),(33,1),(48,1),(62,1)}
       42:{1,2,4,7}:{(30,1),(32,1),(34,1),(37,1),(49,1),(50,1),(59,1)}
       43:{1,5,7}:{(31,1),(32,1),(36,1),(51,1)}
       44:{2,5,7}:{(33,1),(34,1),(36,1),(52,1)}
       45:{4,5,7}:{(35,1),(36,1),(38,1),(53,1),(54,1),(59,1),(62,1)}
       46:{3,6}:{(36,1),(51,1),(52,1),(53,1)}
       47:{4,6,7}:{(38,1),(39,1),(53,1),(54,1)}
       48:{3,5}:{(40,1),(41,1),(55,1)}
       49:{3,7}:{(40,1),(42,1)}
       50:{1,2,5,7}:{(41,1),(42,1),(43,1),(44,1),(56,1),(57,1)}
       51:{1,6}:{(43,1),(46,1)}
       52:{2,6}:{(44,1),(46,1)}
       53:{4,6}:{(45,1),(46,1),(58,1)}
       54:{5,7}:{(47,1),(58,1)}
       55:{4}:{(48,1)}
       56:{3,5,7}:{(48,1),(49,1),(50,1),(59,1),(60,1),(62,1)}
       57:{1,2,6}:{(50,1),(51,1),(52,1),(60,1)}
       58:{5,6}:{(53,1),(54,1),(62,1)}
       59:{4,7}:{(55,1),(56,1),(61,1)}
       60:{3,6}:{(56,1),(57,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

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

  95 :  0:{1,2,5,6}:{(1,1),(2,1),(3,1),(30,1),(31,1),(52,1),(53,1)}
        1:{3,5,6}:{(0,1),(4,1),(5,1),(7,1),(18,1),(45,1),(46,1)}
        2:{1,2,4,6}:{(0,1),(4,1),(6,1),(7,1),(8,1),(20,1),(21,1),(27,1)}
        3:{1,2,5,7}:{(0,1),(5,1),(8,1),(9,1),(43,1),(44,1)}
        4:{4,6}:{(1,1),(10,1),(12,1)}
        5:{3,5,7}:{(1,1),(3,1),(12,1),(13,1),(17,1),(37,1)}
        6:{1,2,4,5}:{(2,1),(10,1),(14,1),(30,1),(31,1),(38,1),(39,1),(40,1)}
        7:{3,6}:{(2,1),(14,1),(17,1)}
        8:{1,2,4,7}:{(2,1),(3,1),(12,1),(17,1),(35,1),(36,1),(41,1)}
        9:{1,2,6,7}:{(3,1),(13,1),(52,1),(53,1)}
       10:{4,5}:{(4,1),(18,1),(56,1)}
       11:{3,4,6}:{(4,1),(7,1),(18,1),(20,1),(21,1),(22,1),(24,1),(45,1),(47,1),(56,1),(61,1)}
       12:{4,7}:{(4,1),(5,1)}
       13:{3,6,7}:{(5,1),(9,1),(23,1),(45,1)}
       14:{3,5}:{(6,1),(7,1),(24,1)}
       15:{1,3,6}:{(7,1),(20,1),(25,1),(27,1),(28,1),(47,1)}
       16:{2,3,6}:{(7,1),(21,1),(26,1),(27,1),(29,1),(47,1)}
       17:{3,7}:{(7,1),(8,1)}
       18:{3,5}:{(10,1),(11,1),(30,1),(31,1),(62,1)}
       19:{4,5,7}:{(10,1),(12,1),(32,1),(33,1),(37,1),(59,1),(62,1)}
       20:{1,4,6}:{(11,1),(15,1),(30,1),(35,1),(38,1),(52,1)}
       21:{2,4,6}:{(11,1),(16,1),(31,1),(36,1),(39,1),(53,1)}
       22:{3,4,7}:{(11,1),(12,1),(17,1),(32,1),(35,1),(36,1),(54,1),(59,1)}
       23:{4,6,7}:{(12,1),(13,1),(33,1),(37,1)}
       24:{3,4}:{(14,1),(38,1),(39,1),(55,1)}
       25:{1,3,5}:{(14,1),(15,1),(30,1),(38,1),(40,1),(50,1),(55,1)}
       26:{2,3,5}:{(14,1),(16,1),(31,1),(39,1),(40,1),(50,1),(55,1)}
       27:{1,2,6}:{(15,1),(16,1),(40,1),(41,1)}
       28:{1,3,7}:{(15,1),(17,1),(35,1),(41,1),(54,1)}
       29:{2,3,7}:{(16,1),(17,1),(36,1),(41,1),(54,1)}
       30:{1,5}:{(18,1),(20,1)}
       31:{2,5}:{(18,1),(21,1)}
       32:{3,5,7}:{(18,1),(19,1),(22,1),(43,1),(44,1),(45,1)}
       33:{4,6}:{(19,1),(45,1),(46,1)}
       34:{1,2,4,6}:{(20,1),(21,1),(27,1),(42,1),(47,1),(48,1),(49,1),(56,1),(58,1),(61,1)}
       35:{1,4,7}:{(20,1),(22,1),(28,1),(43,1)}
       36:{2,4,7}:{(21,1),(22,1),(29,1),(44,1)}
       37:{5,7}:{(23,1),(46,1)}
       38:{1,4}:{(24,1),(25,1),(56,1)}
       39:{2,4}:{(24,1),(26,1),(56,1)}
       40:{1,2,5}:{(25,1),(26,1),(27,1),(49,1)}
       41:{1,2,7}:{(27,1),(28,1),(29,1)}
       42:{1,2,5}:{(30,1),(31,1),(34,1),(50,1),(62,1)}
       43:{1,5,7}:{(30,1),(32,1),(35,1),(52,1)}
       44:{2,5,7}:{(31,1),(32,1),(36,1),(53,1)}
       45:{3,6}:{(32,1),(33,1),(52,1),(53,1)}
       46:{5,6}:{(33,1),(37,1),(62,1)}
       47:{3,6}:{(34,1),(50,1),(54,1),(55,1)}
       48:{1,2,4,7}:{(34,1),(35,1),(36,1),(41,1),(51,1),(54,1),(59,1)}
       49:{1,2,4}:{(38,1),(39,1),(40,1),(55,1)}
       50:{3,5}:{(42,1),(47,1),(56,1)}
       51:{1,2,5,7}:{(42,1),(43,1),(44,1),(48,1),(57,1),(58,1)}
       52:{1,6}:{(43,1),(45,1)}
       53:{2,6}:{(44,1),(45,1)}
       54:{3,7}:{(47,1),(48,1)}
       55:{3}:{(49,1)}
       56:{4}:{(50,1)}
       57:{3,5,7}:{(50,1),(51,1),(54,1),(59,1),(60,1),(62,1)}
       58:{1,2,6}:{(51,1),(52,1),(53,1),(60,1)}
       59:{4,7}:{(56,1),(57,1),(61,1)}
       60:{3,6}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

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

  97 :  0:{1,2,6,7}:{(1,1),(2,1),(41,1),(42,1)}
        1:{3,6,7}:{(0,1),(3,1),(4,1),(30,1)}
        2:{1,2,5,7}:{(0,1),(4,1),(5,1),(6,1),(31,1),(32,1)}
        3:{4,6,7}:{(1,1),(7,1),(9,1),(20,1)}
        4:{3,5,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(11,1)}
        5:{1,2,5,6}:{(2,1),(8,1),(10,1),(41,1),(42,1),(44,1),(45,1)}
        6:{1,2,4,7}:{(2,1),(9,1),(10,1),(11,1),(24,1),(25,1),(29,1)}
        7:{5,7}:{(3,1),(12,1)}
        8:{3,5,6}:{(4,1),(5,1),(12,1),(14,1),(17,1),(30,1),(33,1)}
        9:{4,7}:{(4,1),(14,1)}
       10:{1,2,4,6}:{(5,1),(6,1),(14,1),(16,1),(17,1),(34,1),(35,1),(40,1)}
       11:{3,7}:{(6,1),(17,1)}
       12:{5,6}:{(7,1),(20,1),(62,1)}
       13:{4,5,7}:{(7,1),(9,1),(20,1),(21,1),(22,1),(57,1),(62,1)}
       14:{4,6}:{(8,1),(9,1),(22,1)}
       15:{3,4,7}:{(9,1),(11,1),(21,1),(23,1),(24,1),(25,1),(47,1),(57,1)}
       16:{1,2,4,5}:{(10,1),(22,1),(26,1),(44,1),(45,1),(48,1),(49,1),(50,1)}
       17:{3,6}:{(10,1),(11,1),(26,1)}
       18:{1,3,7}:{(11,1),(24,1),(27,1),(29,1),(47,1)}
       19:{2,3,7}:{(11,1),(25,1),(28,1),(29,1),(47,1)}
       20:{4,6}:{(12,1),(13,1),(30,1)}
       21:{3,5,7}:{(13,1),(15,1),(30,1),(31,1),(32,1),(33,1)}
       22:{4,5}:{(14,1),(33,1),(61,1)}
       23:{3,4,6}:{(14,1),(15,1),(17,1),(30,1),(33,1),(34,1),(35,1),(37,1),(54,1),(60,1),(61,1)}
       24:{1,4,7}:{(15,1),(18,1),(31,1),(34,1)}
       25:{2,4,7}:{(15,1),(19,1),(32,1),(35,1)}
       26:{3,5}:{(16,1),(17,1),(37,1)}
       27:{1,3,6}:{(17,1),(18,1),(34,1),(38,1),(40,1),(54,1)}
       28:{2,3,6}:{(17,1),(19,1),(35,1),(39,1),(40,1),(54,1)}
       29:{1,2,7}:{(18,1),(19,1),(40,1)}
       30:{3,6}:{(20,1),(21,1),(41,1),(42,1)}
       31:{1,5,7}:{(21,1),(24,1),(41,1),(44,1)}
       32:{2,5,7}:{(21,1),(25,1),(42,1),(45,1)}
       33:{3,5}:{(22,1),(23,1),(44,1),(45,1),(62,1)}
       34:{1,4,6}:{(23,1),(24,1),(27,1),(41,1),(44,1),(48,1)}
       35:{2,4,6}:{(23,1),(25,1),(28,1),(42,1),(45,1),(49,1)}
       36:{1,2,4,7}:{(24,1),(25,1),(29,1),(43,1),(46,1),(47,1),(57,1)}
       37:{3,4}:{(26,1),(48,1),(49,1),(59,1)}
       38:{1,3,5}:{(26,1),(27,1),(44,1),(48,1),(50,1),(58,1),(59,1)}
       39:{2,3,5}:{(26,1),(28,1),(45,1),(49,1),(50,1),(58,1),(59,1)}
       40:{1,2,6}:{(27,1),(28,1),(29,1),(50,1)}
       41:{1,6}:{(30,1),(31,1)}
       42:{2,6}:{(30,1),(32,1)}
       43:{1,2,5,7}:{(31,1),(32,1),(36,1),(51,1),(52,1),(53,1)}
       44:{1,5}:{(33,1),(34,1)}
       45:{2,5}:{(33,1),(35,1)}
       46:{1,2,4,6}:{(34,1),(35,1),(36,1),(40,1),(51,1),(53,1),(54,1),(55,1),(60,1),(61,1)}
       47:{3,7}:{(36,1),(54,1)}
       48:{1,4}:{(37,1),(38,1),(61,1)}
       49:{2,4}:{(37,1),(39,1),(61,1)}
       50:{1,2,5}:{(38,1),(39,1),(40,1),(55,1)}
       51:{1,2,6}:{(41,1),(42,1),(43,1),(56,1)}
       52:{3,5,7}:{(43,1),(47,1),(56,1),(57,1),(58,1),(62,1)}
       53:{1,2,5}:{(44,1),(45,1),(46,1),(58,1),(62,1)}
       54:{3,6}:{(46,1),(47,1),(58,1),(59,1)}
       55:{1,2,4}:{(48,1),(49,1),(50,1),(59,1)}
       56:{3,6}:{(51,1),(52,1),(60,1)}
       57:{4,7}:{(52,1),(60,1),(61,1)}
       58:{3,5}:{(53,1),(54,1),(61,1)}
       59:{3}:{(55,1)}
       60:{4,6}:{(56,1),(57,1),(62,1)}
       61:{4}:{(58,1)}
       62:{5}:{(60,1)}

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

  99 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1)}
        2:{2,5}:{(0,1),(5,1),(21,1),(24,1)}
        3:{2,4,7}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,6}:{(1,1),(8,1),(9,1)}
        5:{3,5}:{(1,1),(2,1),(8,1),(10,1),(17,1)}
        6:{3,7}:{(1,1),(3,1),(9,1),(33,1)}
        7:{2,5,7}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,5}:{(4,1),(5,1),(13,1)}
        9:{1,7}:{(4,1),(6,1),(34,1)}
       10:{4}:{(5,1)}
       11:{3,5,7}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{2,6}:{(7,1),(16,1)}
       13:{1,4}:{(8,1),(10,1),(17,1)}
       14:{1,5,7}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{4,7}:{(10,1),(11,1),(20,1),(31,1)}
       16:{3,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{3}:{(13,1),(21,1)}
       18:{1,4,7}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,6}:{(14,1),(16,1)}
       20:{4,6}:{(15,1),(16,1),(24,1)}
       21:{2}:{(17,1)}
       22:{3,7}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,4,6}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{5}:{(20,1)}
       25:{2,7}:{(21,1),(22,1),(28,1)}
       26:{3,6}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,5}:{(23,1),(24,1),(29,1),(34,1)}
       28:{2,6}:{(25,1),(26,1),(30,1)}
       29:{3,5}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{2,5}:{(28,1),(29,1),(32,1)}
       31:{4}:{(29,1)}
       32:{2,4}:{(30,1),(31,1),(33,1)}
       33:{3}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 100 :  0:{2,4,7}:{(1,1),(2,1),(3,1),(11,1),(32,1)}
        1:{3,7}:{(0,1),(4,1),(6,1),(33,1)}
        2:{2,5,7}:{(0,1),(5,1),(7,1),(8,1),(23,1),(30,1)}
        3:{2,4,6}:{(0,1),(6,1),(7,1),(8,1),(17,1),(18,1)}
        4:{1,7}:{(1,1),(10,1),(34,1)}
        5:{3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(13,1),(19,1),(22,1),(28,1)}
        6:{3,6}:{(1,1),(3,1),(10,1),(13,1)}
        7:{2,6}:{(2,1),(12,1)}
        8:{2,5}:{(3,1),(13,1),(22,1),(29,1)}
        9:{1,5,7}:{(4,1),(5,1),(14,1),(15,1),(16,1),(25,1)}
       10:{1,6}:{(4,1),(6,1),(16,1)}
       11:{4,7}:{(5,1),(17,1),(18,1),(31,1)}
       12:{3,6}:{(5,1),(7,1),(15,1),(17,1)}
       13:{3,5}:{(6,1),(8,1),(16,1),(18,1),(26,1)}
       14:{1,4,7}:{(9,1),(11,1),(19,1),(20,1),(21,1)}
       15:{1,6}:{(9,1),(12,1)}
       16:{1,5}:{(10,1),(13,1),(21,1)}
       17:{4,6}:{(11,1),(12,1),(22,1)}
       18:{4}:{(13,1)}
       19:{3,7}:{(14,1),(23,1),(24,1),(26,1)}
       20:{1,4,6}:{(14,1),(15,1),(17,1),(24,1),(25,1),(31,1)}
       21:{1,4}:{(16,1),(18,1),(26,1)}
       22:{5}:{(17,1)}
       23:{2,7}:{(19,1),(27,1),(29,1)}
       24:{3,6}:{(19,1),(20,1),(27,1),(28,1)}
       25:{1,5}:{(20,1),(22,1),(28,1),(34,1)}
       26:{3}:{(21,1),(29,1)}
       27:{2,6}:{(23,1),(24,1),(30,1)}
       28:{3,5}:{(24,1),(25,1),(30,1),(31,1),(33,1)}
       29:{2}:{(26,1)}
       30:{2,5}:{(27,1),(28,1),(32,1)}
       31:{4}:{(28,1)}
       32:{2,4}:{(30,1),(31,1),(33,1)}
       33:{3}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

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

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

 103 :  0:{4,5}:{(3,1),(4,1),(33,1),(46,1)}
        1:{3,4}:{(3,1),(5,1),(6,1),(22,1),(33,1)}
        2:{1,3}:{(5,1),(7,1),(22,1)}
        3:{3,5}:{(0,1),(1,1),(9,1),(10,1),(11,1)}
        4:{4,6}:{(0,1),(11,1),(12,1),(13,1)}
        5:{1,4}:{(1,1),(2,1),(9,1)}
        6:{2,4}:{(1,1),(8,1),(10,1)}
        7:{1,2}:{(2,1),(15,1)}
        8:{2,3}:{(6,1),(16,1),(22,1)}
        9:{1,5}:{(3,1),(5,1),(18,1)}
       10:{2,5}:{(3,1),(6,1),(19,1)}
       11:{3,6}:{(3,1),(4,1),(18,1),(19,1),(20,1)}
       12:{5,6}:{(4,1),(21,1),(46,1),(54,1)}
       13:{4,7}:{(4,1),(20,1),(21,1)}
       14:{1,2,4}:{(5,1),(6,1),(7,1),(16,1),(17,1),(22,1),(23,1),(32,1),(33,1)}
       15:{2,3}:{(7,1),(22,1),(23,1)}
       16:{1,2}:{(8,1),(24,1)}
       17:{1,2,5}:{(9,1),(10,1),(14,1),(25,1),(26,1),(31,1),(38,1)}
       18:{1,6}:{(9,1),(11,1),(27,1)}
       19:{2,6}:{(10,1),(11,1),(28,1)}
       20:{3,7}:{(11,1),(13,1),(27,1),(28,1)}
       21:{5,7}:{(12,1),(13,1),(29,1)}
       22:{3}:{(14,1)}
       23:{2,4}:{(15,1),(30,1),(31,1)}
       24:{1,3}:{(16,1),(22,1),(32,1)}
       25:{3,5}:{(17,1),(22,1),(33,1),(34,1),(46,1)}
       26:{1,2,6}:{(17,1),(18,1),(19,1),(34,1),(35,1),(37,1),(44,1)}
       27:{1,7}:{(18,1),(20,1)}
       28:{2,7}:{(19,1),(20,1)}
       29:{6,7}:{(21,1),(54,1)}
       30:{3,4}:{(22,1),(23,1),(32,1),(33,1),(36,1)}
       31:{2,5}:{(23,1),(36,1),(37,1)}
       32:{1,4}:{(24,1),(30,1),(38,1)}
       33:{4}:{(25,1)}
       34:{3,6}:{(25,1),(26,1),(40,1),(41,1)}
       35:{1,2,7}:{(26,1),(27,1),(28,1),(41,1),(43,1),(49,1)}
       36:{3,5}:{(30,1),(31,1),(38,1),(39,1),(42,1)}
       37:{2,6}:{(31,1),(42,1),(43,1)}
       38:{1,5}:{(32,1),(36,1),(44,1)}
       39:{4,5}:{(33,1),(36,1),(45,1),(46,1)}
       40:{4,6}:{(33,1),(34,1),(46,1),(47,1),(54,1)}
       41:{3,7}:{(34,1),(35,1),(47,1)}
       42:{3,6}:{(36,1),(37,1),(44,1),(45,1),(48,1)}
       43:{2,7}:{(37,1),(48,1)}
       44:{1,6}:{(38,1),(42,1),(49,1)}
       45:{4,6}:{(39,1),(42,1),(50,1),(51,1)}
       46:{5}:{(40,1)}
       47:{4,7}:{(40,1),(41,1),(52,1)}
       48:{3,7}:{(42,1),(43,1),(49,1),(51,1)}
       49:{1,7}:{(44,1),(48,1)}
       50:{5,6}:{(45,1),(46,1),(53,1),(54,1)}
       51:{4,7}:{(45,1),(48,1),(53,1)}
       52:{5,7}:{(46,1),(47,1),(54,1)}
       53:{5,7}:{(50,1),(51,1),(55,1)}
       54:{6}:{(52,1)}
       55:{6,7}:{(53,1),(54,1)}

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

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

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

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

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

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

 110 :  0:{1,4,7}:{(1,1),(2,1),(3,1),(11,1),(32,1)}
        1:{3,7}:{(0,1),(4,1),(6,1),(33,1)}
        2:{1,5,7}:{(0,1),(5,1),(7,1),(8,1),(23,1),(30,1)}
        3:{1,4,6}:{(0,1),(6,1),(7,1),(8,1),(17,1),(18,1)}
        4:{2,7}:{(1,1),(10,1),(34,1)}
        5:{3,5,7}:{(1,1),(2,1),(9,1),(11,1),(12,1),(13,1),(19,1),(22,1),(28,1)}
        6:{3,6}:{(1,1),(3,1),(10,1),(13,1)}
        7:{1,6}:{(2,1),(12,1)}
        8:{1,5}:{(3,1),(13,1),(22,1),(29,1)}
        9:{2,5,7}:{(4,1),(5,1),(14,1),(15,1),(16,1),(25,1)}
       10:{2,6}:{(4,1),(6,1),(16,1)}
       11:{4,7}:{(5,1),(17,1),(18,1),(31,1)}
       12:{3,6}:{(5,1),(7,1),(15,1),(17,1)}
       13:{3,5}:{(6,1),(8,1),(16,1),(18,1),(26,1)}
       14:{2,4,7}:{(9,1),(11,1),(19,1),(20,1),(21,1)}
       15:{2,6}:{(9,1),(12,1)}
       16:{2,5}:{(10,1),(13,1),(21,1)}
       17:{4,6}:{(11,1),(12,1),(22,1)}
       18:{4}:{(13,1)}
       19:{3,7}:{(14,1),(23,1),(24,1),(26,1)}
       20:{2,4,6}:{(14,1),(15,1),(17,1),(24,1),(25,1),(31,1)}
       21:{2,4}:{(16,1),(18,1),(26,1)}
       22:{5}:{(17,1)}
       23:{1,7}:{(19,1),(27,1),(29,1)}
       24:{3,6}:{(19,1),(20,1),(27,1),(28,1)}
       25:{2,5}:{(20,1),(22,1),(28,1),(34,1)}
       26:{3}:{(21,1),(29,1)}
       27:{1,6}:{(23,1),(24,1),(30,1)}
       28:{3,5}:{(24,1),(25,1),(30,1),(31,1),(33,1)}
       29:{1}:{(26,1)}
       30:{1,5}:{(27,1),(28,1),(32,1)}
       31:{4}:{(28,1)}
       32:{1,4}:{(30,1),(31,1),(33,1)}
       33:{3}:{(32,1),(34,1)}
       34:{2}:{(33,1)}

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

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

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

 114 :  0:{4,5}:{(3,1),(4,1),(33,1),(46,1)}
        1:{3,4}:{(3,1),(5,1),(6,1),(22,1),(33,1)}
        2:{2,3}:{(6,1),(7,1),(22,1)}
        3:{3,5}:{(0,1),(1,1),(9,1),(10,1),(11,1)}
        4:{4,6}:{(0,1),(11,1),(12,1),(13,1)}
        5:{1,4}:{(1,1),(8,1),(9,1)}
        6:{2,4}:{(1,1),(2,1),(10,1)}
        7:{1,2}:{(2,1),(15,1)}
        8:{1,3}:{(5,1),(16,1),(22,1)}
        9:{1,5}:{(3,1),(5,1),(18,1)}
       10:{2,5}:{(3,1),(6,1),(19,1)}
       11:{3,6}:{(3,1),(4,1),(18,1),(19,1),(20,1)}
       12:{5,6}:{(4,1),(21,1),(46,1),(54,1)}
       13:{4,7}:{(4,1),(20,1),(21,1)}
       14:{1,2,4}:{(5,1),(6,1),(7,1),(16,1),(17,1),(22,1),(23,1),(32,1),(33,1)}
       15:{1,3}:{(7,1),(22,1),(23,1)}
       16:{1,2}:{(8,1),(24,1)}
       17:{1,2,5}:{(9,1),(10,1),(14,1),(25,1),(26,1),(31,1),(38,1)}
       18:{1,6}:{(9,1),(11,1),(27,1)}
       19:{2,6}:{(10,1),(11,1),(28,1)}
       20:{3,7}:{(11,1),(13,1),(27,1),(28,1)}
       21:{5,7}:{(12,1),(13,1),(29,1)}
       22:{3}:{(14,1)}
       23:{1,4}:{(15,1),(30,1),(31,1)}
       24:{2,3}:{(16,1),(22,1),(32,1)}
       25:{3,5}:{(17,1),(22,1),(33,1),(34,1),(46,1)}
       26:{1,2,6}:{(17,1),(18,1),(19,1),(34,1),(35,1),(37,1),(44,1)}
       27:{1,7}:{(18,1),(20,1)}
       28:{2,7}:{(19,1),(20,1)}
       29:{6,7}:{(21,1),(54,1)}
       30:{3,4}:{(22,1),(23,1),(32,1),(33,1),(36,1)}
       31:{1,5}:{(23,1),(36,1),(37,1)}
       32:{2,4}:{(24,1),(30,1),(38,1)}
       33:{4}:{(25,1)}
       34:{3,6}:{(25,1),(26,1),(40,1),(41,1)}
       35:{1,2,7}:{(26,1),(27,1),(28,1),(41,1),(43,1),(49,1)}
       36:{3,5}:{(30,1),(31,1),(38,1),(39,1),(42,1)}
       37:{1,6}:{(31,1),(42,1),(43,1)}
       38:{2,5}:{(32,1),(36,1),(44,1)}
       39:{4,5}:{(33,1),(36,1),(45,1),(46,1)}
       40:{4,6}:{(33,1),(34,1),(46,1),(47,1),(54,1)}
       41:{3,7}:{(34,1),(35,1),(47,1)}
       42:{3,6}:{(36,1),(37,1),(44,1),(45,1),(48,1)}
       43:{1,7}:{(37,1),(48,1)}
       44:{2,6}:{(38,1),(42,1),(49,1)}
       45:{4,6}:{(39,1),(42,1),(50,1),(51,1)}
       46:{5}:{(40,1)}
       47:{4,7}:{(40,1),(41,1),(52,1)}
       48:{3,7}:{(42,1),(43,1),(49,1),(51,1)}
       49:{2,7}:{(44,1),(48,1)}
       50:{5,6}:{(45,1),(46,1),(53,1),(54,1)}
       51:{4,7}:{(45,1),(48,1),(53,1)}
       52:{5,7}:{(46,1),(47,1),(54,1)}
       53:{5,7}:{(50,1),(51,1),(55,1)}
       54:{6}:{(52,1)}
       55:{6,7}:{(53,1),(54,1)}

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

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

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

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

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

 120 :  0:{1,2,4,6}:{(1,1),(2,1),(3,1),(10,1),(11,1),(14,1),(19,1),(21,1),(49,1),(52,1)}
        1:{3,6}:{(0,1),(7,1),(8,1),(67,1)}
        2:{1,2,5}:{(0,1),(7,1),(23,1),(25,1),(70,1)}
        3:{1,2,4,7}:{(0,1),(8,1),(9,1),(24,1),(26,1),(31,1),(34,1)}
        4:{3,4,6}:{(1,1),(10,1),(11,1),(12,1),(13,1),(19,1),(36,1),(45,1),(48,1),(50,1),(51,1),(52,1),(71,1),(74,1),(78,1),(94,1)}
        5:{1,3,6}:{(1,1),(10,1),(14,1),(15,1),(16,1),(36,1),(74,1),(84,1)}
        6:{2,3,6}:{(1,1),(11,1),(14,1),(17,1),(18,1),(36,1),(78,1),(85,1)}
        7:{3,5}:{(1,1),(2,1),(19,1)}
        8:{3,7}:{(1,1),(3,1)}
        9:{1,2,5,7}:{(2,1),(3,1),(20,1),(21,1),(41,1),(44,1)}
       10:{1,4,6}:{(4,1),(5,1),(23,1),(24,1),(32,1),(59,1),(69,1),(90,1)}
       11:{2,4,6}:{(4,1),(6,1),(25,1),(26,1),(33,1),(63,1),(68,1),(88,1)}
       12:{3,5}:{(4,1),(23,1),(25,1),(28,1),(70,1),(97,1)}
       13:{3,4,7}:{(4,1),(8,1),(24,1),(26,1),(29,1),(34,1),(54,1),(64,1),(86,1),(89,1),(91,1)}
       14:{1,2,6}:{(5,1),(6,1),(30,1),(31,1),(88,1),(90,1),(93,1)}
       15:{1,3,5}:{(5,1),(7,1),(23,1),(30,1),(32,1),(53,1),(58,1),(67,1)}
       16:{1,3,7}:{(5,1),(8,1),(24,1),(31,1),(54,1),(89,1)}
       17:{2,3,5}:{(6,1),(7,1),(25,1),(30,1),(33,1),(53,1),(62,1),(67,1)}
       18:{2,3,7}:{(6,1),(8,1),(26,1),(31,1),(54,1),(91,1)}
       19:{4}:{(7,1)}
       20:{3,5,7}:{(7,1),(8,1),(9,1),(34,1),(35,1),(70,1)}
       21:{1,2,6}:{(9,1),(35,1),(59,1),(63,1)}
       22:{1,2,4,6}:{(10,1),(11,1),(14,1),(36,1),(37,1),(38,1),(49,1),(71,1),(73,1),(94,1)}
       23:{1,5}:{(10,1),(12,1)}
       24:{1,4,7}:{(10,1),(13,1),(16,1),(41,1),(96,1)}
       25:{2,5}:{(11,1),(12,1)}
       26:{2,4,7}:{(11,1),(13,1),(18,1),(44,1),(95,1)}
       27:{3,5,6}:{(12,1),(39,1),(42,1),(45,1),(46,1),(48,1),(74,1),(78,1),(83,1)}
       28:{4,5}:{(12,1),(19,1),(45,1),(71,1)}
       29:{3,5,7}:{(12,1),(13,1),(41,1),(44,1),(47,1),(48,1)}
       30:{1,2,5}:{(14,1),(15,1),(17,1),(49,1),(77,1),(81,1)}
       31:{1,2,7}:{(14,1),(16,1),(18,1),(95,1),(96,1)}
       32:{1,4}:{(15,1),(19,1),(50,1),(71,1)}
       33:{2,4}:{(17,1),(19,1),(51,1),(71,1)}
       34:{4,7}:{(19,1),(20,1),(52,1)}
       35:{3,6}:{(20,1),(21,1),(52,1)}
       36:{3,6}:{(22,1),(53,1),(54,1),(67,1)}
       37:{1,2,5}:{(22,1),(23,1),(25,1),(53,1),(97,1)}
       38:{1,2,4,7}:{(22,1),(24,1),(26,1),(31,1),(54,1),(55,1),(86,1)}
       39:{1,5,6}:{(23,1),(27,1),(56,1),(57,1),(59,1),(90,1)}
       40:{1,4,5}:{(23,1),(28,1),(32,1),(56,1),(58,1)}
       41:{1,5,7}:{(23,1),(24,1),(29,1),(59,1)}
       42:{2,5,6}:{(25,1),(27,1),(60,1),(61,1),(63,1),(88,1)}
       43:{2,4,5}:{(25,1),(28,1),(33,1),(60,1),(62,1)}
       44:{2,5,7}:{(25,1),(26,1),(29,1),(63,1)}
       45:{4,6}:{(27,1),(28,1),(64,1)}
       46:{3,5,7}:{(27,1),(57,1),(61,1),(64,1),(65,1),(89,1),(91,1),(92,1)}
       47:{4,5,7}:{(28,1),(29,1),(34,1),(64,1),(66,1),(70,1),(86,1),(92,1),(97,1)}
       48:{3,6}:{(29,1),(59,1),(63,1),(66,1)}
       49:{1,2,4}:{(30,1),(32,1),(33,1),(67,1),(68,1),(69,1),(93,1)}
       50:{3,4}:{(32,1),(58,1),(67,1),(68,1)}
       51:{3,4}:{(33,1),(62,1),(67,1),(69,1)}
       52:{4,6}:{(34,1),(35,1),(70,1)}
       53:{3,5}:{(36,1),(37,1),(71,1)}
       54:{3,7}:{(36,1),(38,1)}
       55:{1,2,5,7}:{(37,1),(38,1),(41,1),(44,1),(72,1),(73,1)}
       56:{1,4,6}:{(39,1),(40,1),(45,1),(74,1),(75,1)}
       57:{1,5,7}:{(39,1),(46,1),(75,1),(76,1),(96,1)}
       58:{3,5}:{(40,1),(50,1),(74,1),(77,1)}
       59:{1,6}:{(41,1),(48,1)}
       60:{2,4,6}:{(42,1),(43,1),(45,1),(78,1),(79,1)}
       61:{2,5,7}:{(42,1),(46,1),(79,1),(80,1),(95,1)}
       62:{3,5}:{(43,1),(51,1),(78,1),(81,1)}
       63:{2,6}:{(44,1),(48,1)}
       64:{4,7}:{(45,1),(46,1)}
       65:{3,6,7}:{(46,1),(48,1),(76,1),(80,1),(82,1)}
       66:{4,6}:{(47,1),(48,1),(83,1)}
       67:{3}:{(49,1)}
       68:{2,4}:{(50,1),(77,1),(85,1)}
       69:{1,4}:{(51,1),(81,1),(84,1)}
       70:{5}:{(52,1)}
       71:{4}:{(53,1)}
       72:{3,5,7}:{(53,1),(54,1),(55,1),(86,1),(87,1),(97,1)}
       73:{1,2,6}:{(55,1),(59,1),(63,1),(87,1)}
       74:{3,6}:{(56,1),(58,1),(88,1),(89,1)}
       75:{1,4,7}:{(56,1),(57,1),(64,1),(89,1)}
       76:{1,6,7}:{(57,1),(59,1),(65,1)}
       77:{2,5}:{(58,1),(68,1),(88,1)}
       78:{3,6}:{(60,1),(62,1),(90,1),(91,1)}
       79:{2,4,7}:{(60,1),(61,1),(64,1),(91,1)}
       80:{2,6,7}:{(61,1),(63,1),(65,1)}
       81:{1,5}:{(62,1),(69,1),(90,1)}
       82:{4,6,7}:{(64,1),(65,1),(66,1),(92,1)}
       83:{5,6}:{(66,1),(70,1),(92,1),(97,1)}
       84:{1,3}:{(67,1),(69,1),(93,1)}
       85:{2,3}:{(67,1),(68,1),(93,1)}
       86:{4,7}:{(71,1),(72,1),(94,1)}
       87:{3,6}:{(72,1),(73,1),(94,1)}
       88:{2,6}:{(74,1),(77,1),(95,1)}
       89:{3,7}:{(74,1),(75,1),(95,1)}
       90:{1,6}:{(78,1),(81,1),(96,1)}
       91:{3,7}:{(78,1),(79,1),(96,1)}
       92:{5,7}:{(82,1),(83,1)}
       93:{1,2}:{(84,1),(85,1)}
       94:{4,6}:{(86,1),(87,1),(97,1)}
       95:{2,7}:{(88,1),(89,1)}
       96:{1,7}:{(90,1),(91,1)}
       97:{5}:{(94,1)}

 121 :  0:{1,2,4,7}:{(1,1),(2,1),(3,1),(11,1),(12,1),(15,1),(18,1)}
        1:{3,7}:{(0,1),(8,1)}
        2:{1,2,5,7}:{(0,1),(7,1),(9,1),(10,1),(22,1),(24,1)}
        3:{1,2,4,6}:{(0,1),(8,1),(9,1),(10,1),(23,1),(25,1),(29,1),(32,1),(33,1),(63,1)}
        4:{3,4,7}:{(1,1),(11,1),(12,1),(13,1),(14,1),(18,1),(34,1),(66,1),(76,1),(91,1),(93,1)}
        5:{1,3,7}:{(1,1),(11,1),(15,1),(16,1),(34,1),(91,1)}
        6:{2,3,7}:{(1,1),(12,1),(15,1),(17,1),(34,1),(93,1)}
        7:{3,5,7}:{(1,1),(2,1),(18,1),(19,1),(20,1),(48,1)}
        8:{3,6}:{(1,1),(3,1),(20,1),(77,1)}
        9:{1,2,6}:{(2,1),(19,1),(37,1),(39,1)}
       10:{1,2,5}:{(3,1),(20,1),(38,1),(40,1),(48,1)}
       11:{1,4,7}:{(4,1),(5,1),(22,1),(23,1),(97,1)}
       12:{2,4,7}:{(4,1),(6,1),(24,1),(25,1),(96,1)}
       13:{3,5,7}:{(4,1),(22,1),(24,1),(26,1),(27,1),(28,1)}
       14:{3,4,6}:{(4,1),(8,1),(23,1),(25,1),(27,1),(28,1),(32,1),(33,1),(50,1),(62,1),(64,1),(65,1),(80,1),(81,1),(83,1),(86,1)}
       15:{1,2,7}:{(5,1),(6,1),(29,1),(96,1),(97,1)}
       16:{1,3,6}:{(5,1),(8,1),(23,1),(29,1),(30,1),(50,1),(83,1),(88,1)}
       17:{2,3,6}:{(6,1),(8,1),(25,1),(29,1),(31,1),(50,1),(86,1),(89,1)}
       18:{4,7}:{(7,1),(32,1),(33,1)}
       19:{3,6}:{(7,1),(9,1),(32,1)}
       20:{3,5}:{(8,1),(10,1),(33,1)}
       21:{1,2,4,7}:{(11,1),(12,1),(15,1),(34,1),(35,1),(36,1),(66,1)}
       22:{1,5,7}:{(11,1),(13,1),(37,1),(38,1)}
       23:{1,4,6}:{(11,1),(14,1),(16,1),(37,1),(38,1),(46,1),(79,1),(94,1)}
       24:{2,5,7}:{(12,1),(13,1),(39,1),(40,1)}
       25:{2,4,6}:{(12,1),(14,1),(17,1),(39,1),(40,1),(47,1),(78,1),(92,1)}
       26:{4,5,7}:{(13,1),(18,1),(41,1),(44,1),(48,1),(66,1),(75,1),(76,1),(90,1)}
       27:{3,6}:{(13,1),(37,1),(39,1),(41,1)}
       28:{3,5}:{(14,1),(38,1),(40,1),(44,1),(48,1),(90,1)}
       29:{1,2,6}:{(15,1),(16,1),(17,1),(45,1),(92,1),(94,1),(95,1)}
       30:{1,3,5}:{(16,1),(20,1),(38,1),(45,1),(46,1),(68,1),(71,1),(77,1)}
       31:{2,3,5}:{(17,1),(20,1),(40,1),(45,1),(47,1),(68,1),(74,1),(77,1)}
       32:{4,6}:{(18,1),(19,1),(48,1)}
       33:{4}:{(20,1)}
       34:{3,7}:{(21,1),(50,1)}
       35:{1,2,5,7}:{(21,1),(22,1),(24,1),(49,1),(51,1),(52,1)}
       36:{1,2,4,6}:{(21,1),(23,1),(25,1),(29,1),(50,1),(51,1),(52,1),(63,1),(80,1),(81,1)}
       37:{1,6}:{(22,1),(27,1)}
       38:{1,5}:{(23,1),(28,1)}
       39:{2,6}:{(24,1),(27,1)}
       40:{2,5}:{(25,1),(28,1)}
       41:{4,6}:{(26,1),(27,1),(60,1)}
       42:{3,6,7}:{(27,1),(53,1),(56,1),(59,1),(61,1)}
       43:{3,5,6}:{(27,1),(28,1),(54,1),(57,1),(60,1),(61,1),(62,1),(83,1),(86,1)}
       44:{4,5}:{(28,1),(33,1),(62,1),(81,1)}
       45:{1,2,5}:{(29,1),(30,1),(31,1),(63,1),(84,1),(87,1)}
       46:{1,4}:{(30,1),(33,1),(64,1),(81,1)}
       47:{2,4}:{(31,1),(33,1),(65,1),(81,1)}
       48:{5}:{(32,1)}
       49:{3,5,7}:{(34,1),(35,1),(66,1),(67,1),(68,1),(90,1)}
       50:{3,6}:{(34,1),(36,1),(68,1),(77,1)}
       51:{1,2,6}:{(35,1),(37,1),(39,1),(67,1)}
       52:{1,2,5}:{(36,1),(38,1),(40,1),(68,1),(90,1)}
       53:{1,6,7}:{(37,1),(42,1),(69,1)}
       54:{1,5,6}:{(37,1),(38,1),(43,1),(69,1),(70,1),(94,1)}
       55:{1,4,5}:{(38,1),(44,1),(46,1),(70,1),(71,1)}
       56:{2,6,7}:{(39,1),(42,1),(72,1)}
       57:{2,5,6}:{(39,1),(40,1),(43,1),(72,1),(73,1),(92,1)}
       58:{2,4,5}:{(40,1),(44,1),(47,1),(73,1),(74,1)}
       59:{4,6,7}:{(41,1),(42,1),(75,1),(76,1)}
       60:{5,6}:{(41,1),(48,1),(75,1),(90,1)}
       61:{3,5,7}:{(42,1),(43,1),(69,1),(72,1),(75,1),(76,1),(91,1),(93,1)}
       62:{4,6}:{(43,1),(44,1),(76,1)}
       63:{1,2,4}:{(45,1),(46,1),(47,1),(77,1),(78,1),(79,1),(95,1)}
       64:{3,4}:{(46,1),(71,1),(77,1),(78,1)}
       65:{3,4}:{(47,1),(74,1),(77,1),(79,1)}
       66:{4,7}:{(49,1),(80,1),(81,1)}
       67:{3,6}:{(49,1),(51,1),(80,1)}
       68:{3,5}:{(50,1),(52,1),(81,1)}
       69:{1,5,7}:{(53,1),(54,1),(61,1),(82,1),(97,1)}
       70:{1,4,6}:{(54,1),(55,1),(62,1),(82,1),(83,1)}
       71:{3,5}:{(55,1),(64,1),(83,1),(84,1)}
       72:{2,5,7}:{(56,1),(57,1),(61,1),(85,1),(96,1)}
       73:{2,4,6}:{(57,1),(58,1),(62,1),(85,1),(86,1)}
       74:{3,5}:{(58,1),(65,1),(86,1),(87,1)}
       75:{5,7}:{(59,1),(60,1)}
       76:{4,7}:{(61,1),(62,1)}
       77:{3}:{(63,1)}
       78:{2,4}:{(64,1),(84,1),(89,1)}
       79:{1,4}:{(65,1),(87,1),(88,1)}
       80:{4,6}:{(66,1),(67,1),(90,1)}
       81:{4}:{(68,1)}
       82:{1,4,7}:{(69,1),(70,1),(76,1),(91,1)}
       83:{3,6}:{(70,1),(71,1),(91,1),(92,1)}
       84:{2,5}:{(71,1),(78,1),(92,1)}
       85:{2,4,7}:{(72,1),(73,1),(76,1),(93,1)}
       86:{3,6}:{(73,1),(74,1),(93,1),(94,1)}
       87:{1,5}:{(74,1),(79,1),(94,1)}
       88:{1,3}:{(77,1),(79,1),(95,1)}
       89:{2,3}:{(77,1),(78,1),(95,1)}
       90:{5}:{(80,1)}
       91:{3,7}:{(82,1),(83,1),(96,1)}
       92:{2,6}:{(83,1),(84,1),(96,1)}
       93:{3,7}:{(85,1),(86,1),(97,1)}
       94:{1,6}:{(86,1),(87,1),(97,1)}
       95:{1,2}:{(88,1),(89,1)}
       96:{2,7}:{(91,1),(92,1)}
       97:{1,7}:{(93,1),(94,1)}

 122 :  0:{1,2,5,7}:{(1,1),(2,1),(3,1),(14,1),(25,1),(26,1)}
        1:{3,5,7}:{(0,1),(4,1),(5,1),(6,1),(20,1),(24,1)}
        2:{1,2,4,7}:{(0,1),(4,1),(6,1),(7,1),(17,1),(18,1),(21,1)}
        3:{1,2,6}:{(0,1),(5,1),(39,1),(40,1)}
        4:{4,7}:{(1,1),(10,1),(37,1)}
        5:{3,6}:{(1,1),(3,1),(10,1)}
        6:{3,7}:{(2,1),(13,1)}
        7:{1,2,4,6}:{(2,1),(3,1),(10,1),(13,1),(14,1),(31,1),(32,1),(34,1),(37,1),(64,1)}
        8:{4,5,7}:{(4,1),(15,1),(16,1),(20,1),(43,1),(48,1),(67,1),(73,1),(90,1)}
        9:{3,4,7}:{(4,1),(6,1),(15,1),(17,1),(18,1),(19,1),(44,1),(67,1),(73,1),(91,1),(93,1)}
       10:{4,6}:{(4,1),(5,1),(20,1)}
       11:{1,3,7}:{(6,1),(17,1),(21,1),(22,1),(44,1),(91,1)}
       12:{2,3,7}:{(6,1),(18,1),(21,1),(23,1),(44,1),(93,1)}
       13:{3,6}:{(6,1),(7,1),(24,1),(77,1)}
       14:{1,2,5}:{(7,1),(20,1),(24,1),(46,1),(47,1)}
       15:{3,5,7}:{(8,1),(9,1),(25,1),(26,1),(27,1),(33,1)}
       16:{4,6}:{(8,1),(27,1),(29,1)}
       17:{1,4,7}:{(9,1),(11,1),(25,1),(31,1),(97,1)}
       18:{2,4,7}:{(9,1),(12,1),(26,1),(32,1),(96,1)}
       19:{3,4,6}:{(9,1),(10,1),(13,1),(27,1),(31,1),(32,1),(33,1),(37,1),(59,1),(60,1),(65,1),(66,1),(80,1),(82,1),(84,1),(85,1)}
       20:{5}:{(10,1)}
       21:{1,2,7}:{(11,1),(12,1),(34,1),(96,1),(97,1)}
       22:{1,3,6}:{(11,1),(13,1),(31,1),(34,1),(35,1),(60,1),(82,1),(88,1)}
       23:{2,3,6}:{(12,1),(13,1),(32,1),(34,1),(36,1),(60,1),(84,1),(89,1)}
       24:{3,5}:{(13,1),(14,1),(37,1)}
       25:{1,5,7}:{(15,1),(17,1),(39,1),(46,1)}
       26:{2,5,7}:{(15,1),(18,1),(40,1),(47,1)}
       27:{3,6}:{(15,1),(16,1),(39,1),(40,1)}
       28:{4,6,7}:{(16,1),(41,1),(43,1),(73,1)}
       29:{5,6}:{(16,1),(20,1),(43,1),(90,1)}
       30:{1,2,4,7}:{(17,1),(18,1),(21,1),(38,1),(44,1),(45,1),(67,1)}
       31:{1,4,6}:{(17,1),(19,1),(22,1),(39,1),(46,1),(50,1),(79,1),(94,1)}
       32:{2,4,6}:{(18,1),(19,1),(23,1),(40,1),(47,1),(51,1),(78,1),(92,1)}
       33:{3,5}:{(19,1),(20,1),(46,1),(47,1),(48,1),(90,1)}
       34:{1,2,6}:{(21,1),(22,1),(23,1),(49,1),(92,1),(94,1),(95,1)}
       35:{1,3,5}:{(22,1),(24,1),(46,1),(49,1),(50,1),(74,1),(75,1),(77,1)}
       36:{2,3,5}:{(23,1),(24,1),(47,1),(49,1),(51,1),(74,1),(76,1),(77,1)}
       37:{4}:{(24,1)}
       38:{1,2,5,7}:{(25,1),(26,1),(30,1),(52,1),(53,1),(61,1)}
       39:{1,6}:{(25,1),(27,1)}
       40:{2,6}:{(26,1),(27,1)}
       41:{3,6,7}:{(27,1),(28,1),(54,1),(56,1),(58,1)}
       42:{3,5,6}:{(27,1),(29,1),(33,1),(55,1),(57,1),(58,1),(59,1),(82,1),(84,1)}
       43:{5,7}:{(28,1),(29,1)}
       44:{3,7}:{(30,1),(60,1)}
       45:{1,2,4,6}:{(30,1),(31,1),(32,1),(34,1),(53,1),(60,1),(61,1),(64,1),(80,1),(85,1)}
       46:{1,5}:{(31,1),(33,1)}
       47:{2,5}:{(32,1),(33,1)}
       48:{4,5}:{(33,1),(37,1),(59,1),(85,1)}
       49:{1,2,5}:{(34,1),(35,1),(36,1),(64,1),(86,1),(87,1)}
       50:{1,4}:{(35,1),(37,1),(65,1),(85,1)}
       51:{2,4}:{(36,1),(37,1),(66,1),(85,1)}
       52:{3,5,7}:{(38,1),(44,1),(67,1),(68,1),(74,1),(90,1)}
       53:{1,2,6}:{(38,1),(39,1),(40,1),(68,1)}
       54:{1,6,7}:{(39,1),(41,1),(69,1)}
       55:{1,5,6}:{(39,1),(42,1),(46,1),(69,1),(70,1),(94,1)}
       56:{2,6,7}:{(40,1),(41,1),(71,1)}
       57:{2,5,6}:{(40,1),(42,1),(47,1),(71,1),(72,1),(92,1)}
       58:{3,5,7}:{(41,1),(42,1),(43,1),(69,1),(71,1),(73,1),(91,1),(93,1)}
       59:{4,6}:{(42,1),(48,1),(73,1)}
       60:{3,6}:{(44,1),(45,1),(74,1),(77,1)}
       61:{1,2,5}:{(45,1),(46,1),(47,1),(74,1),(90,1)}
       62:{1,4,5}:{(46,1),(48,1),(50,1),(70,1),(75,1)}
       63:{2,4,5}:{(47,1),(48,1),(51,1),(72,1),(76,1)}
       64:{1,2,4}:{(49,1),(50,1),(51,1),(77,1),(78,1),(79,1),(95,1)}
       65:{3,4}:{(50,1),(75,1),(77,1),(78,1)}
       66:{3,4}:{(51,1),(76,1),(77,1),(79,1)}
       67:{4,7}:{(52,1),(80,1),(85,1)}
       68:{3,6}:{(52,1),(53,1),(80,1)}
       69:{1,5,7}:{(54,1),(55,1),(58,1),(81,1),(97,1)}
       70:{1,4,6}:{(55,1),(59,1),(62,1),(81,1),(82,1)}
       71:{2,5,7}:{(56,1),(57,1),(58,1),(83,1),(96,1)}
       72:{2,4,6}:{(57,1),(59,1),(63,1),(83,1),(84,1)}
       73:{4,7}:{(58,1),(59,1)}
       74:{3,5}:{(60,1),(61,1),(85,1)}
       75:{3,5}:{(62,1),(65,1),(82,1),(86,1)}
       76:{3,5}:{(63,1),(66,1),(84,1),(87,1)}
       77:{3}:{(64,1)}
       78:{2,4}:{(65,1),(86,1),(89,1)}
       79:{1,4}:{(66,1),(87,1),(88,1)}
       80:{4,6}:{(67,1),(68,1),(90,1)}
       81:{1,4,7}:{(69,1),(70,1),(73,1),(91,1)}
       82:{3,6}:{(70,1),(75,1),(91,1),(92,1)}
       83:{2,4,7}:{(71,1),(72,1),(73,1),(93,1)}
       84:{3,6}:{(72,1),(76,1),(93,1),(94,1)}
       85:{4}:{(74,1)}
       86:{2,5}:{(75,1),(78,1),(92,1)}
       87:{1,5}:{(76,1),(79,1),(94,1)}
       88:{1,3}:{(77,1),(79,1),(95,1)}
       89:{2,3}:{(77,1),(78,1),(95,1)}
       90:{5}:{(80,1)}
       91:{3,7}:{(81,1),(82,1),(96,1)}
       92:{2,6}:{(82,1),(86,1),(96,1)}
       93:{3,7}:{(83,1),(84,1),(97,1)}
       94:{1,6}:{(84,1),(87,1),(97,1)}
       95:{1,2}:{(88,1),(89,1)}
       96:{2,7}:{(91,1),(92,1)}
       97:{1,7}:{(93,1),(94,1)}

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

 124 :  0:{1,4,6}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,5}:{(0,1),(5,1),(21,1),(24,1)}
        3:{1,4,7}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{2,6}:{(1,1),(8,1),(9,1)}
        5:{3,5}:{(1,1),(2,1),(8,1),(10,1),(17,1)}
        6:{3,7}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,5,7}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{2,5}:{(4,1),(5,1),(13,1)}
        9:{2,7}:{(4,1),(6,1),(34,1)}
       10:{4}:{(5,1)}
       11:{3,5,7}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,6}:{(7,1),(16,1)}
       13:{2,4}:{(8,1),(10,1),(17,1)}
       14:{2,5,7}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{4,7}:{(10,1),(11,1),(20,1),(31,1)}
       16:{3,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{3}:{(13,1),(21,1)}
       18:{2,4,7}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{2,6}:{(14,1),(16,1)}
       20:{4,6}:{(15,1),(16,1),(24,1)}
       21:{1}:{(17,1)}
       22:{3,7}:{(17,1),(18,1),(25,1),(26,1)}
       23:{2,4,6}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{5}:{(20,1)}
       25:{1,7}:{(21,1),(22,1),(28,1)}
       26:{3,6}:{(22,1),(23,1),(28,1),(29,1)}
       27:{2,5}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,6}:{(25,1),(26,1),(30,1)}
       29:{3,5}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,5}:{(28,1),(29,1),(32,1)}
       31:{4}:{(29,1)}
       32:{1,4}:{(30,1),(31,1),(33,1)}
       33:{3}:{(32,1),(34,1)}
       34:{2}:{(33,1)}

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

 126 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1)}
        2:{2,5}:{(0,1),(5,1),(21,1),(24,1)}
        3:{2,4,7}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,6}:{(1,1),(8,1),(9,1)}
        5:{3,5}:{(1,1),(2,1),(8,1),(10,1),(17,1)}
        6:{3,7}:{(1,1),(3,1),(9,1),(33,1)}
        7:{2,5,7}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,5}:{(4,1),(5,1),(13,1)}
        9:{1,7}:{(4,1),(6,1),(34,1)}
       10:{4}:{(5,1)}
       11:{3,5,7}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{2,6}:{(7,1),(16,1)}
       13:{1,4}:{(8,1),(10,1),(17,1)}
       14:{1,5,7}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{4,7}:{(10,1),(11,1),(20,1),(31,1)}
       16:{3,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{3}:{(13,1),(21,1)}
       18:{1,4,7}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,6}:{(14,1),(16,1)}
       20:{4,6}:{(15,1),(16,1),(24,1)}
       21:{2}:{(17,1)}
       22:{3,7}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,4,6}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{5}:{(20,1)}
       25:{2,7}:{(21,1),(22,1),(28,1)}
       26:{3,6}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,5}:{(23,1),(24,1),(29,1),(34,1)}
       28:{2,6}:{(25,1),(26,1),(30,1)}
       29:{3,5}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{2,5}:{(28,1),(29,1),(32,1)}
       31:{4}:{(29,1)}
       32:{2,4}:{(30,1),(31,1),(33,1)}
       33:{3}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

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

 128 :  0:{5,6}:{(3,1),(4,1),(44,1),(54,1)}
        1:{4,5}:{(3,1),(5,1),(34,1),(44,1)}
        2:{3,4}:{(5,1),(6,1),(7,1),(22,1),(34,1)}
        3:{4,6}:{(0,1),(1,1),(10,1),(11,1)}
        4:{5,7}:{(0,1),(11,1),(12,1)}
        5:{3,5}:{(1,1),(2,1),(10,1),(13,1),(14,1)}
        6:{1,4}:{(2,1),(8,1),(13,1)}
        7:{2,4}:{(2,1),(9,1),(14,1)}
        8:{1,3}:{(6,1),(16,1),(22,1)}
        9:{2,3}:{(7,1),(17,1),(22,1)}
       10:{3,6}:{(3,1),(5,1),(18,1),(19,1),(20,1)}
       11:{4,7}:{(3,1),(4,1),(20,1)}
       12:{6,7}:{(4,1),(54,1)}
       13:{1,5}:{(5,1),(6,1),(18,1)}
       14:{2,5}:{(5,1),(7,1),(19,1)}
       15:{1,2,4}:{(6,1),(7,1),(16,1),(17,1),(21,1),(22,1),(30,1),(31,1),(34,1)}
       16:{1,2}:{(8,1),(23,1)}
       17:{1,2}:{(9,1),(24,1)}
       18:{1,6}:{(10,1),(13,1),(26,1)}
       19:{2,6}:{(10,1),(14,1),(27,1)}
       20:{3,7}:{(10,1),(11,1),(26,1),(27,1)}
       21:{1,2,5}:{(13,1),(14,1),(15,1),(25,1),(28,1),(36,1),(37,1)}
       22:{3}:{(15,1)}
       23:{2,3}:{(16,1),(22,1),(30,1)}
       24:{1,3}:{(17,1),(22,1),(31,1)}
       25:{1,2,6}:{(18,1),(19,1),(21,1),(32,1),(33,1),(42,1),(43,1)}
       26:{1,7}:{(18,1),(20,1)}
       27:{2,7}:{(19,1),(20,1)}
       28:{3,5}:{(21,1),(22,1),(32,1),(34,1),(44,1)}
       29:{3,4}:{(22,1),(30,1),(31,1),(34,1),(35,1)}
       30:{2,4}:{(23,1),(29,1),(36,1)}
       31:{1,4}:{(24,1),(29,1),(37,1)}
       32:{3,6}:{(25,1),(28,1),(38,1),(39,1)}
       33:{1,2,7}:{(25,1),(26,1),(27,1),(39,1),(48,1),(49,1)}
       34:{4}:{(28,1)}
       35:{3,5}:{(29,1),(36,1),(37,1),(40,1),(41,1)}
       36:{2,5}:{(30,1),(35,1),(42,1)}
       37:{1,5}:{(31,1),(35,1),(43,1)}
       38:{4,6}:{(32,1),(34,1),(44,1),(45,1),(54,1)}
       39:{3,7}:{(32,1),(33,1),(45,1)}
       40:{4,5}:{(34,1),(35,1),(44,1),(46,1)}
       41:{3,6}:{(35,1),(42,1),(43,1),(46,1),(47,1)}
       42:{2,6}:{(36,1),(41,1),(48,1)}
       43:{1,6}:{(37,1),(41,1),(49,1)}
       44:{5}:{(38,1)}
       45:{4,7}:{(38,1),(39,1),(51,1)}
       46:{4,6}:{(40,1),(41,1),(50,1),(52,1)}
       47:{3,7}:{(41,1),(48,1),(49,1),(52,1)}
       48:{2,7}:{(42,1),(47,1)}
       49:{1,7}:{(43,1),(47,1)}
       50:{5,6}:{(44,1),(46,1),(53,1),(54,1)}
       51:{5,7}:{(44,1),(45,1),(54,1)}
       52:{4,7}:{(46,1),(47,1),(53,1)}
       53:{5,7}:{(50,1),(52,1),(55,1)}
       54:{6}:{(51,1)}
       55:{6,7}:{(53,1),(54,1)}

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

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

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

 132 :  0:{1,2,6}:{(1,1),(2,1),(3,1),(31,1),(32,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,2,5}:{(0,1),(5,1),(7,1),(28,1),(29,1)}
        3:{1,2,7}:{(0,1),(6,1),(37,1),(38,1)}
        4:{4,6}:{(1,1),(8,1),(9,1),(10,1),(21,1)}
        5:{3,5}:{(1,1),(2,1),(8,1),(10,1),(11,1)}
        6:{3,7}:{(1,1),(3,1),(9,1)}
        7:{1,2,4}:{(2,1),(10,1),(11,1),(22,1),(23,1),(24,1)}
        8:{5}:{(4,1)}
        9:{4,7}:{(4,1),(6,1),(14,1)}
       10:{4}:{(5,1)}
       11:{3}:{(7,1)}
       12:{5,6}:{(8,1),(18,1),(19,1),(21,1),(45,1),(48,1)}
       13:{4,5}:{(8,1),(10,1),(18,1),(20,1),(42,1),(45,1)}
       14:{5,7}:{(8,1),(9,1),(21,1)}
       15:{3,4}:{(10,1),(11,1),(20,1),(22,1),(23,1),(35,1),(42,1)}
       16:{1,3}:{(11,1),(22,1),(24,1),(35,1)}
       17:{2,3}:{(11,1),(23,1),(24,1),(35,1)}
       18:{4,6}:{(12,1),(13,1),(25,1),(26,1)}
       19:{5,7}:{(12,1),(26,1),(27,1)}
       20:{3,5}:{(13,1),(15,1),(25,1),(28,1),(29,1)}
       21:{6}:{(14,1)}
       22:{1,4}:{(15,1),(16,1),(28,1)}
       23:{2,4}:{(15,1),(17,1),(29,1)}
       24:{1,2}:{(16,1),(17,1)}
       25:{3,6}:{(18,1),(20,1),(31,1),(32,1),(33,1)}
       26:{4,7}:{(18,1),(19,1),(33,1)}
       27:{6,7}:{(19,1),(21,1),(48,1)}
       28:{1,5}:{(20,1),(22,1),(31,1)}
       29:{2,5}:{(20,1),(23,1),(32,1)}
       30:{1,2,4}:{(22,1),(23,1),(24,1),(34,1),(35,1),(42,1)}
       31:{1,6}:{(25,1),(28,1),(37,1)}
       32:{2,6}:{(25,1),(29,1),(38,1)}
       33:{3,7}:{(25,1),(26,1),(37,1),(38,1)}
       34:{1,2,5}:{(28,1),(29,1),(30,1),(36,1),(39,1)}
       35:{3}:{(30,1)}
       36:{1,2,6}:{(31,1),(32,1),(34,1),(40,1),(41,1)}
       37:{1,7}:{(31,1),(33,1)}
       38:{2,7}:{(32,1),(33,1)}
       39:{3,5}:{(34,1),(35,1),(40,1),(42,1),(45,1)}
       40:{3,6}:{(36,1),(39,1),(43,1),(44,1)}
       41:{1,2,7}:{(36,1),(37,1),(38,1),(44,1)}
       42:{4}:{(39,1)}
       43:{4,6}:{(40,1),(42,1),(45,1),(46,1),(48,1)}
       44:{3,7}:{(40,1),(41,1),(46,1)}
       45:{5}:{(43,1)}
       46:{4,7}:{(43,1),(44,1),(47,1)}
       47:{5,7}:{(45,1),(46,1),(48,1)}
       48:{6}:{(47,1)}

 133 :  0:{1,2,7}:{(1,1),(2,1),(36,1),(37,1)}
        1:{3,7}:{(0,1),(3,1),(4,1)}
        2:{1,2,6}:{(0,1),(4,1),(5,1),(32,1),(33,1)}
        3:{4,7}:{(1,1),(6,1),(7,1)}
        4:{3,6}:{(1,1),(2,1),(7,1),(8,1)}
        5:{1,2,5}:{(2,1),(8,1),(9,1),(28,1),(29,1)}
        6:{5,7}:{(3,1),(10,1),(11,1)}
        7:{4,6}:{(3,1),(4,1),(10,1),(11,1),(12,1)}
        8:{3,5}:{(4,1),(5,1),(11,1),(12,1),(13,1)}
        9:{1,2,4}:{(5,1),(12,1),(13,1),(23,1),(24,1),(25,1)}
       10:{6}:{(6,1)}
       11:{5}:{(7,1)}
       12:{4}:{(8,1)}
       13:{3}:{(9,1)}
       14:{6,7}:{(10,1),(20,1),(48,1)}
       15:{5,6}:{(10,1),(11,1),(20,1),(21,1),(46,1),(48,1)}
       16:{4,5}:{(11,1),(12,1),(21,1),(22,1),(42,1),(46,1)}
       17:{3,4}:{(12,1),(13,1),(22,1),(23,1),(24,1),(35,1),(42,1)}
       18:{1,3}:{(13,1),(23,1),(25,1),(35,1)}
       19:{2,3}:{(13,1),(24,1),(25,1),(35,1)}
       20:{5,7}:{(14,1),(15,1),(26,1)}
       21:{4,6}:{(15,1),(16,1),(26,1),(27,1)}
       22:{3,5}:{(16,1),(17,1),(27,1),(28,1),(29,1)}
       23:{1,4}:{(17,1),(18,1),(28,1)}
       24:{2,4}:{(17,1),(19,1),(29,1)}
       25:{1,2}:{(18,1),(19,1)}
       26:{4,7}:{(20,1),(21,1),(31,1)}
       27:{3,6}:{(21,1),(22,1),(31,1),(32,1),(33,1)}
       28:{1,5}:{(22,1),(23,1),(32,1)}
       29:{2,5}:{(22,1),(24,1),(33,1)}
       30:{1,2,4}:{(23,1),(24,1),(25,1),(34,1),(35,1),(42,1)}
       31:{3,7}:{(26,1),(27,1),(36,1),(37,1)}
       32:{1,6}:{(27,1),(28,1),(36,1)}
       33:{2,6}:{(27,1),(29,1),(37,1)}
       34:{1,2,5}:{(28,1),(29,1),(30,1),(38,1),(39,1)}
       35:{3}:{(30,1)}
       36:{1,7}:{(31,1),(32,1)}
       37:{2,7}:{(31,1),(33,1)}
       38:{1,2,6}:{(32,1),(33,1),(34,1),(40,1),(41,1)}
       39:{3,5}:{(34,1),(35,1),(41,1),(42,1),(46,1)}
       40:{1,2,7}:{(36,1),(37,1),(38,1),(43,1)}
       41:{3,6}:{(38,1),(39,1),(43,1),(44,1)}
       42:{4}:{(39,1)}
       43:{3,7}:{(40,1),(41,1),(45,1)}
       44:{4,6}:{(41,1),(42,1),(45,1),(46,1),(48,1)}
       45:{4,7}:{(43,1),(44,1),(47,1)}
       46:{5}:{(44,1)}
       47:{5,7}:{(45,1),(46,1),(48,1)}
       48:{6}:{(47,1)}

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

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

 136 :  0:{6,7}:{(3,1),(51,1)}
        1:{5,6}:{(3,1),(4,1),(40,1),(51,1)}
        2:{4,5}:{(4,1),(5,1),(29,1),(40,1)}
        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),(10,1)}
        6:{3,4}:{(5,1),(11,1),(12,1),(26,1),(29,1)}
        7:{4,7}:{(3,1),(4,1),(13,1)}
        8:{3,6}:{(4,1),(5,1),(13,1),(14,1),(15,1)}
        9:{1,5}:{(5,1),(11,1),(14,1)}
       10:{2,5}:{(5,1),(12,1),(15,1)}
       11:{1,4}:{(6,1),(9,1),(17,1)}
       12:{2,4}:{(6,1),(10,1),(18,1)}
       13:{3,7}:{(7,1),(8,1),(20,1),(21,1)}
       14:{1,6}:{(8,1),(9,1),(20,1)}
       15:{2,6}:{(8,1),(10,1),(21,1)}
       16:{1,2,5}:{(9,1),(10,1),(19,1),(22,1),(23,1),(42,1),(43,1)}
       17:{1,3}:{(11,1),(24,1),(26,1)}
       18:{2,3}:{(12,1),(25,1),(26,1)}
       19:{1,2,4}:{(11,1),(12,1),(16,1),(24,1),(25,1),(26,1),(29,1),(36,1),(37,1)}
       20:{1,7}:{(13,1),(14,1)}
       21:{2,7}:{(13,1),(15,1)}
       22:{1,2,6}:{(14,1),(15,1),(16,1),(27,1),(28,1),(48,1),(49,1)}
       23:{3,5}:{(16,1),(26,1),(28,1),(29,1),(40,1)}
       24:{1,2}:{(17,1),(30,1)}
       25:{1,2}:{(18,1),(31,1)}
       26:{3}:{(19,1)}
       27:{1,2,7}:{(20,1),(21,1),(22,1),(33,1),(53,1),(54,1)}
       28:{3,6}:{(22,1),(23,1),(33,1),(34,1)}
       29:{4}:{(23,1)}
       30:{2,3}:{(24,1),(26,1),(36,1)}
       31:{1,3}:{(25,1),(26,1),(37,1)}
       32:{3,4}:{(26,1),(29,1),(36,1),(37,1),(38,1)}
       33:{3,7}:{(27,1),(28,1),(39,1)}
       34:{4,6}:{(28,1),(29,1),(39,1),(40,1),(51,1)}
       35:{4,5}:{(29,1),(38,1),(40,1),(41,1)}
       36:{2,4}:{(30,1),(32,1),(42,1)}
       37:{1,4}:{(31,1),(32,1),(43,1)}
       38:{3,5}:{(32,1),(35,1),(42,1),(43,1),(44,1)}
       39:{4,7}:{(33,1),(34,1),(45,1)}
       40:{5}:{(34,1)}
       41:{4,6}:{(35,1),(44,1),(46,1),(47,1)}
       42:{2,5}:{(36,1),(38,1),(48,1)}
       43:{1,5}:{(37,1),(38,1),(49,1)}
       44:{3,6}:{(38,1),(41,1),(48,1),(49,1),(50,1)}
       45:{5,7}:{(39,1),(40,1),(51,1)}
       46:{5,6}:{(40,1),(41,1),(51,1),(52,1)}
       47:{4,7}:{(41,1),(50,1),(52,1)}
       48:{2,6}:{(42,1),(44,1),(53,1)}
       49:{1,6}:{(43,1),(44,1),(54,1)}
       50:{3,7}:{(44,1),(47,1),(53,1),(54,1)}
       51:{6}:{(45,1)}
       52:{5,7}:{(46,1),(47,1),(55,1)}
       53:{2,7}:{(48,1),(50,1)}
       54:{1,7}:{(49,1),(50,1)}
       55:{6,7}:{(51,1),(52,1)}

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

 138 : 0:{1,2}:{(1,1)}
       1:{3}:{(0,1),(2,1)}
       2:{4}:{(1,1),(3,1)}
       3:{5}:{(2,1),(4,1)}
       4:{6}:{(3,1),(5,1)}
       5:{7}:{(4,1)}

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

 140 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(2,1),(3,1)}
        2:{3,4}:{(1,1),(4,1)}
        3:{1,2,5}:{(1,1),(4,1),(5,1)}
        4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
        5:{1,2,6}:{(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:{1,2,7}:{(5,1),(10,1)}
        9:{4,6}:{(6,1),(7,1),(11,1),(12,1)}
       10:{3,7}:{(7,1),(8,1),(12,1)}
       11:{5,6}:{(9,1),(13,1)}
       12:{4,7}:{(9,1),(10,1),(13,1)}
       13:{5,7}:{(11,1),(12,1),(14,1)}
       14:{6,7}:{(13,1)}

 141 :   0:{1,3,5,7}:{(2,1),(3,1),(4,1),(15,1),(17,1),(21,1),(46,1)}
         1:{2,3,5,7}:{(2,1),(5,1),(6,1),(15,1),(22,1),(26,1),(46,1)}
         2:{1,2,5,7}:{(0,1),(1,1),(7,1),(8,1),(30,1),(31,1),(37,1)}
         3:{1,4,7}:{(0,1),(10,1),(11,1),(62,1),(102,1)}
         4:{1,3,6}:{(0,1),(8,1),(11,1),(29,1),(32,1),(100,1)}
         5:{2,4,7}:{(1,1),(13,1),(14,1),(62,1),(103,1)}
         6:{2,3,6}:{(1,1),(8,1),(14,1),(29,1),(38,1),(101,1)}
         7:{1,2,4,7}:{(2,1),(3,1),(5,1),(15,1),(16,1),(19,1),(24,1),(43,1)}
         8:{1,2,6}:{(2,1),(4,1),(6,1),(47,1),(53,1),(104,1)}
         9:{1,4,5,7}:{(3,1),(17,1),(18,1),(21,1),(50,1),(52,1),(78,1)}
        10:{3,4,7}:{(3,1),(15,1),(17,1),(19,1),(20,1),(78,1),(96,1)}
        11:{1,4,6}:{(3,1),(4,1),(20,1),(21,1),(95,1),(97,1)}
        12:{2,4,5,7}:{(5,1),(22,1),(23,1),(26,1),(56,1),(58,1),(82,1)}
        13:{3,4,7}:{(5,1),(15,1),(22,1),(24,1),(25,1),(82,1),(98,1)}
        14:{2,4,6}:{(5,1),(6,1),(25,1),(26,1),(94,1),(99,1)}
        15:{3,7}:{(7,1),(29,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(11,1),(14,1),(29,1),(30,1),(35,1),(41,1),(59,1),(62,1),(84,1)}
        17:{3,5,7}:{(9,1),(10,1),(31,1),(32,1),(36,1)}
        18:{1,4,6}:{(9,1),(32,1),(34,1),(66,1)}
        19:{2,4,7}:{(10,1),(28,1),(31,1),(35,1)}
        20:{3,4,6}:{(10,1),(11,1),(29,1),(32,1),(35,1),(36,1),(62,1),(66,1),(86,1),(88,1)}
        21:{1,5}:{(11,1),(36,1)}
        22:{3,5,7}:{(12,1),(13,1),(37,1),(38,1),(42,1)}
        23:{2,4,6}:{(12,1),(38,1),(40,1),(71,1)}
        24:{1,4,7}:{(13,1),(27,1),(37,1),(41,1)}
        25:{3,4,6}:{(13,1),(14,1),(29,1),(38,1),(41,1),(42,1),(62,1),(71,1),(85,1),(91,1)}
        26:{2,5}:{(14,1),(42,1)}
        27:{1,3,7}:{(15,1),(24,1),(43,1),(44,1),(98,1)}
        28:{2,3,7}:{(15,1),(19,1),(43,1),(45,1),(96,1)}
        29:{3,6}:{(15,1),(16,1),(46,1),(93,1)}
        30:{1,2,5}:{(16,1),(21,1),(26,1),(46,1),(51,1),(57,1)}
        31:{2,5,7}:{(17,1),(19,1),(47,1),(51,1)}
        32:{3,6}:{(17,1),(18,1),(47,1)}
        33:{1,4,6,7}:{(18,1),(48,1),(50,1),(78,1)}
        34:{1,5,6}:{(18,1),(21,1),(49,1),(50,1),(97,1)}
        35:{2,4,6}:{(19,1),(20,1),(45,1),(47,1),(51,1),(75,1)}
        36:{3,5}:{(20,1),(21,1),(51,1),(52,1)}
        37:{1,5,7}:{(22,1),(24,1),(53,1),(57,1)}
        38:{3,6}:{(22,1),(23,1),(53,1)}
        39:{2,4,6,7}:{(23,1),(54,1),(56,1),(82,1)}
        40:{2,5,6}:{(23,1),(26,1),(55,1),(56,1),(99,1)}
        41:{1,4,6}:{(24,1),(25,1),(44,1),(53,1),(57,1),(74,1)}
        42:{3,5}:{(25,1),(26,1),(57,1),(58,1)}
        43:{1,2,7}:{(27,1),(28,1),(59,1),(102,1),(103,1)}
        44:{1,3,6}:{(27,1),(29,1),(41,1),(59,1),(60,1),(91,1)}
        45:{2,3,6}:{(28,1),(29,1),(35,1),(59,1),(61,1),(88,1)}
        46:{3,5}:{(29,1),(30,1),(62,1)}
        47:{2,6}:{(31,1),(32,1)}
        48:{3,6,7}:{(32,1),(33,1),(63,1),(65,1)}
        49:{3,5,6}:{(32,1),(34,1),(36,1),(64,1),(65,1),(66,1),(88,1)}
        50:{1,5,7}:{(33,1),(34,1),(65,1),(102,1)}
        51:{2,5}:{(35,1),(36,1)}
        52:{4,5}:{(36,1),(62,1),(66,1)}
        53:{1,6}:{(37,1),(38,1)}
        54:{3,6,7}:{(38,1),(39,1),(68,1),(70,1)}
        55:{3,5,6}:{(38,1),(40,1),(42,1),(69,1),(70,1),(71,1),(91,1)}
        56:{2,5,7}:{(39,1),(40,1),(70,1),(103,1)}
        57:{1,5}:{(41,1),(42,1)}
        58:{4,5}:{(42,1),(62,1),(71,1)}
        59:{1,2,6}:{(43,1),(44,1),(45,1),(73,1),(97,1),(99,1)}
        60:{1,3,5}:{(44,1),(46,1),(57,1),(73,1),(74,1),(83,1),(93,1)}
        61:{2,3,5}:{(45,1),(46,1),(51,1),(73,1),(75,1),(79,1),(93,1)}
        62:{4}:{(46,1)}
        63:{2,6,7}:{(47,1),(48,1),(76,1)}
        64:{2,5,6}:{(47,1),(49,1),(51,1),(76,1),(77,1)}
        65:{3,5,7}:{(48,1),(49,1),(50,1),(76,1),(78,1),(96,1)}
        66:{4,6}:{(49,1),(52,1),(78,1)}
        67:{2,4,5}:{(51,1),(52,1),(75,1),(77,1),(79,1)}
        68:{1,6,7}:{(53,1),(54,1),(80,1)}
        69:{1,5,6}:{(53,1),(55,1),(57,1),(80,1),(81,1)}
        70:{3,5,7}:{(54,1),(55,1),(56,1),(80,1),(82,1),(98,1)}
        71:{4,6}:{(55,1),(58,1),(82,1)}
        72:{1,4,5}:{(57,1),(58,1),(74,1),(81,1),(83,1)}
        73:{1,2,5}:{(59,1),(60,1),(61,1),(84,1),(89,1),(92,1)}
        74:{1,4}:{(60,1),(62,1),(85,1)}
        75:{2,4}:{(61,1),(62,1),(86,1)}
        76:{2,5,7}:{(63,1),(64,1),(65,1),(87,1)}
        77:{2,4,6}:{(64,1),(66,1),(67,1),(87,1),(88,1)}
        78:{4,7}:{(65,1),(66,1)}
        79:{3,5}:{(67,1),(86,1),(88,1),(89,1)}
        80:{1,5,7}:{(68,1),(69,1),(70,1),(90,1)}
        81:{1,4,6}:{(69,1),(71,1),(72,1),(90,1),(91,1)}
        82:{4,7}:{(70,1),(71,1)}
        83:{3,5}:{(72,1),(85,1),(91,1),(92,1)}
        84:{1,2,4}:{(73,1),(74,1),(75,1),(93,1),(94,1),(95,1),(104,1)}
        85:{3,4}:{(74,1),(83,1),(93,1),(94,1)}
        86:{3,4}:{(75,1),(79,1),(93,1),(95,1)}
        87:{2,4,7}:{(76,1),(77,1),(78,1),(96,1)}
        88:{3,6}:{(77,1),(79,1),(96,1),(97,1)}
        89:{1,5}:{(79,1),(95,1),(97,1)}
        90:{1,4,7}:{(80,1),(81,1),(82,1),(98,1)}
        91:{3,6}:{(81,1),(83,1),(98,1),(99,1)}
        92:{2,5}:{(83,1),(94,1),(99,1)}
        93:{3}:{(84,1)}
        94:{2,4}:{(85,1),(92,1),(101,1)}
        95:{1,4}:{(86,1),(89,1),(100,1)}
        96:{3,7}:{(87,1),(88,1),(102,1)}
        97:{1,6}:{(88,1),(89,1),(102,1)}
        98:{3,7}:{(90,1),(91,1),(103,1)}
        99:{2,6}:{(91,1),(92,1),(103,1)}
       100:{1,3}:{(93,1),(95,1),(104,1)}
       101:{2,3}:{(93,1),(94,1),(104,1)}
       102:{1,7}:{(96,1),(97,1)}
       103:{2,7}:{(98,1),(99,1)}
       104:{1,2}:{(100,1),(101,1)}

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

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

 144 :  0:{1,2,5,6}:{(2,1),(3,1),(4,1),(34,1),(35,1),(53,1),(54,1)}
        1:{1,2,4,5}:{(3,1),(5,1),(14,1),(18,1),(19,1),(23,1),(34,1),(35,1)}
        2:{3,5,6}:{(0,1),(6,1),(7,1),(9,1),(24,1),(47,1),(48,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(6,1),(9,1),(10,1),(26,1),(27,1),(31,1)}
        4:{1,2,5,7}:{(0,1),(7,1),(10,1),(11,1),(45,1),(46,1)}
        5:{3,5}:{(1,1),(8,1),(9,1)}
        6:{4,6}:{(2,1),(14,1),(16,1)}
        7:{3,5,7}:{(2,1),(4,1),(16,1),(17,1),(22,1),(41,1)}
        8:{3,4}:{(5,1),(18,1),(19,1),(42,1)}
        9:{3,6}:{(3,1),(5,1),(22,1)}
       10:{1,2,4,7}:{(3,1),(4,1),(16,1),(22,1),(39,1),(40,1),(43,1)}
       11:{1,2,6,7}:{(4,1),(17,1),(53,1),(54,1)}
       12:{1,3,5}:{(5,1),(18,1),(20,1),(23,1),(34,1),(42,1),(51,1)}
       13:{2,3,5}:{(5,1),(19,1),(21,1),(23,1),(35,1),(42,1),(51,1)}
       14:{4,5}:{(6,1),(24,1),(56,1)}
       15:{3,4,6}:{(6,1),(8,1),(9,1),(24,1),(26,1),(27,1),(28,1),(47,1),(49,1),(56,1),(61,1)}
       16:{4,7}:{(6,1),(7,1)}
       17:{3,6,7}:{(7,1),(11,1),(29,1),(47,1)}
       18:{1,4}:{(8,1),(12,1),(56,1)}
       19:{2,4}:{(8,1),(13,1),(56,1)}
       20:{1,3,6}:{(9,1),(12,1),(26,1),(31,1),(32,1),(49,1)}
       21:{2,3,6}:{(9,1),(13,1),(27,1),(31,1),(33,1),(49,1)}
       22:{3,7}:{(9,1),(10,1)}
       23:{1,2,5}:{(12,1),(13,1),(30,1),(31,1)}
       24:{3,5}:{(14,1),(15,1),(34,1),(35,1),(62,1)}
       25:{4,5,7}:{(14,1),(16,1),(36,1),(37,1),(41,1),(59,1),(62,1)}
       26:{1,4,6}:{(15,1),(18,1),(20,1),(34,1),(39,1),(53,1)}
       27:{2,4,6}:{(15,1),(19,1),(21,1),(35,1),(40,1),(54,1)}
       28:{3,4,7}:{(15,1),(16,1),(22,1),(36,1),(39,1),(40,1),(55,1),(59,1)}
       29:{4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
       30:{1,2,4}:{(18,1),(19,1),(23,1),(42,1)}
       31:{1,2,6}:{(20,1),(21,1),(23,1),(43,1)}
       32:{1,3,7}:{(20,1),(22,1),(39,1),(43,1),(55,1)}
       33:{2,3,7}:{(21,1),(22,1),(40,1),(43,1),(55,1)}
       34:{1,5}:{(24,1),(26,1)}
       35:{2,5}:{(24,1),(27,1)}
       36:{3,5,7}:{(24,1),(25,1),(28,1),(45,1),(46,1),(47,1)}
       37:{4,6}:{(25,1),(47,1),(48,1)}
       38:{1,2,4,6}:{(26,1),(27,1),(30,1),(31,1),(44,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       39:{1,4,7}:{(26,1),(28,1),(32,1),(45,1)}
       40:{2,4,7}:{(27,1),(28,1),(33,1),(46,1)}
       41:{5,7}:{(29,1),(48,1)}
       42:{3}:{(30,1)}
       43:{1,2,7}:{(31,1),(32,1),(33,1)}
       44:{1,2,5}:{(34,1),(35,1),(38,1),(51,1),(62,1)}
       45:{1,5,7}:{(34,1),(36,1),(39,1),(53,1)}
       46:{2,5,7}:{(35,1),(36,1),(40,1),(54,1)}
       47:{3,6}:{(36,1),(37,1),(53,1),(54,1)}
       48:{5,6}:{(37,1),(41,1),(62,1)}
       49:{3,6}:{(38,1),(42,1),(51,1),(55,1)}
       50:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(52,1),(55,1),(59,1)}
       51:{3,5}:{(44,1),(49,1),(56,1)}
       52:{1,2,5,7}:{(44,1),(45,1),(46,1),(50,1),(57,1),(58,1)}
       53:{1,6}:{(45,1),(47,1)}
       54:{2,6}:{(46,1),(47,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{4}:{(51,1)}
       57:{3,5,7}:{(51,1),(52,1),(55,1),(59,1),(60,1),(62,1)}
       58:{1,2,6}:{(52,1),(53,1),(54,1),(60,1)}
       59:{4,7}:{(56,1),(57,1),(61,1)}
       60:{3,6}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

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

 146 :  0:{1,2,6,7}:{(2,1),(4,1),(50,1),(51,1)}
        1:{1,2,5,6}:{(3,1),(4,1),(5,1),(34,1),(35,1),(50,1),(51,1)}
        2:{3,6,7}:{(0,1),(6,1),(7,1),(43,1)}
        3:{3,5,6}:{(1,1),(7,1),(8,1),(11,1),(20,1),(22,1),(43,1)}
        4:{1,2,5,7}:{(0,1),(1,1),(7,1),(10,1),(44,1),(45,1)}
        5:{1,2,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(24,1),(25,1),(31,1)}
        6:{4,6,7}:{(2,1),(12,1),(14,1),(32,1)}
        7:{3,5,7}:{(2,1),(3,1),(4,1),(12,1),(14,1),(17,1)}
        8:{4,6}:{(3,1),(13,1),(14,1)}
        9:{1,2,4,5}:{(5,1),(13,1),(16,1),(34,1),(35,1),(39,1),(40,1),(41,1)}
       10:{1,2,4,7}:{(4,1),(5,1),(14,1),(17,1),(36,1),(37,1),(42,1)}
       11:{3,6}:{(5,1),(16,1),(17,1)}
       12:{5,7}:{(6,1),(20,1)}
       13:{4,5}:{(8,1),(22,1),(58,1)}
       14:{4,7}:{(7,1),(8,1)}
       15:{3,4,6}:{(8,1),(11,1),(22,1),(23,1),(24,1),(25,1),(26,1),(43,1),(48,1),(58,1),(61,1)}
       16:{3,5}:{(9,1),(11,1),(26,1)}
       17:{3,7}:{(10,1),(11,1)}
       18:{1,3,6}:{(11,1),(24,1),(27,1),(29,1),(31,1),(48,1)}
       19:{2,3,6}:{(11,1),(25,1),(28,1),(30,1),(31,1),(48,1)}
       20:{5,6}:{(12,1),(32,1),(62,1)}
       21:{4,5,7}:{(12,1),(13,1),(14,1),(32,1),(33,1),(60,1),(62,1)}
       22:{3,5}:{(13,1),(15,1),(34,1),(35,1),(62,1)}
       23:{3,4,7}:{(14,1),(15,1),(17,1),(33,1),(36,1),(37,1),(54,1),(60,1)}
       24:{1,4,6}:{(15,1),(18,1),(34,1),(36,1),(39,1),(50,1)}
       25:{2,4,6}:{(15,1),(19,1),(35,1),(37,1),(40,1),(51,1)}
       26:{3,4}:{(16,1),(39,1),(40,1),(55,1)}
       27:{1,3,5}:{(16,1),(18,1),(34,1),(39,1),(41,1),(53,1),(55,1)}
       28:{2,3,5}:{(16,1),(19,1),(35,1),(40,1),(41,1),(53,1),(55,1)}
       29:{1,3,7}:{(17,1),(18,1),(36,1),(42,1),(54,1)}
       30:{2,3,7}:{(17,1),(19,1),(37,1),(42,1),(54,1)}
       31:{1,2,6}:{(18,1),(19,1),(41,1),(42,1)}
       32:{4,6}:{(20,1),(21,1),(43,1)}
       33:{3,5,7}:{(21,1),(22,1),(23,1),(43,1),(44,1),(45,1)}
       34:{1,5}:{(22,1),(24,1)}
       35:{2,5}:{(22,1),(25,1)}
       36:{1,4,7}:{(23,1),(24,1),(29,1),(44,1)}
       37:{2,4,7}:{(23,1),(25,1),(30,1),(45,1)}
       38:{1,2,4,6}:{(24,1),(25,1),(31,1),(46,1),(47,1),(48,1),(49,1),(56,1),(58,1),(61,1)}
       39:{1,4}:{(26,1),(27,1),(58,1)}
       40:{2,4}:{(26,1),(28,1),(58,1)}
       41:{1,2,5}:{(27,1),(28,1),(31,1),(49,1)}
       42:{1,2,7}:{(29,1),(30,1),(31,1)}
       43:{3,6}:{(32,1),(33,1),(50,1),(51,1)}
       44:{1,5,7}:{(33,1),(34,1),(36,1),(50,1)}
       45:{2,5,7}:{(33,1),(35,1),(37,1),(51,1)}
       46:{1,2,5}:{(34,1),(35,1),(38,1),(53,1),(62,1)}
       47:{1,2,4,7}:{(36,1),(37,1),(38,1),(42,1),(52,1),(54,1),(60,1)}
       48:{3,6}:{(38,1),(53,1),(54,1),(55,1)}
       49:{1,2,4}:{(39,1),(40,1),(41,1),(55,1)}
       50:{1,6}:{(43,1),(44,1)}
       51:{2,6}:{(43,1),(45,1)}
       52:{1,2,5,7}:{(44,1),(45,1),(46,1),(47,1),(56,1),(57,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{3,7}:{(47,1),(48,1)}
       55:{3}:{(49,1)}
       56:{1,2,6}:{(50,1),(51,1),(52,1),(59,1)}
       57:{3,5,7}:{(52,1),(53,1),(54,1),(59,1),(60,1),(62,1)}
       58:{4}:{(53,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 147 :  0:{1,3,4}:{(1,1),(2,1),(22,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1),(13,1)}
        2:{1,3,5}:{(0,1),(4,1),(5,1),(6,1),(15,1)}
        3:{2,3}:{(1,1)}
        4:{1,2,5}:{(1,1),(2,1),(7,1),(9,1)}
        5:{1,4,5}:{(2,1),(10,1),(11,1)}
        6:{1,3,6}:{(2,1),(9,1),(11,1),(12,1),(27,1)}
        7:{2,3,5}:{(3,1),(4,1),(13,1),(14,1),(15,1),(37,1)}
        8:{1,2,4,5}:{(4,1),(5,1),(13,1),(15,1),(16,1),(18,1),(34,1),(37,1),(39,1),(65,1),(67,1)}
        9:{1,2,6}:{(4,1),(6,1),(14,1),(17,1)}
       10:{3,4,5}:{(5,1),(15,1),(18,1),(19,1),(67,1)}
       11:{1,4,6}:{(5,1),(6,1),(19,1),(20,1),(21,1)}
       12:{1,3,7}:{(6,1),(17,1),(21,1),(43,1)}
       13:{2,4}:{(7,1),(22,1)}
       14:{2,3,6}:{(7,1),(9,1),(23,1),(24,1),(27,1)}
       15:{3,5}:{(8,1),(22,1),(27,1)}
       16:{1,2,4,6}:{(8,1),(9,1),(11,1),(23,1),(27,1),(28,1),(29,1),(30,1),(51,1),(55,1),(58,1)}
       17:{1,2,7}:{(9,1),(12,1),(24,1)}
       18:{2,4,5}:{(10,1),(26,1),(30,1)}
       19:{3,4,6}:{(10,1),(11,1),(27,1),(30,1),(31,1),(32,1),(58,1)}
       20:{1,5,6}:{(11,1),(31,1),(33,1)}
       21:{1,4,7}:{(11,1),(12,1),(32,1),(33,1)}
       22:{3,4}:{(13,1),(15,1),(34,1)}
       23:{2,4,6}:{(13,1),(14,1),(36,1),(37,1),(38,1),(69,1)}
       24:{2,3,7}:{(14,1),(17,1),(38,1),(43,1)}
       25:{1,3,5}:{(15,1),(34,1),(39,1),(40,1),(64,1),(65,1)}
       26:{2,3,5}:{(15,1),(18,1),(35,1),(39,1),(41,1)}
       27:{3,6}:{(15,1),(16,1),(43,1)}
       28:{1,2,5,6}:{(16,1),(20,1),(37,1),(42,1),(44,1),(45,1),(65,1),(69,1),(80,1)}
       29:{1,2,4,7}:{(16,1),(17,1),(21,1),(38,1),(43,1),(44,1),(46,1),(66,1),(70,1),(71,1)}
       30:{2,4,6}:{(18,1),(19,1),(41,1),(45,1),(46,1)}
       31:{3,5,6}:{(19,1),(20,1),(45,1),(47,1),(48,1)}
       32:{3,4,7}:{(19,1),(21,1),(43,1),(46,1),(48,1),(71,1)}
       33:{1,5,7}:{(20,1),(21,1),(48,1),(49,1)}
       34:{1,4}:{(22,1),(25,1)}
       35:{2,3,4}:{(22,1),(26,1),(50,1)}
       36:{3,4,6}:{(22,1),(23,1),(27,1),(51,1),(52,1),(53,1),(58,1),(77,1)}
       37:{2,5}:{(23,1),(52,1)}
       38:{2,4,7}:{(23,1),(24,1),(53,1),(54,1)}
       39:{1,2,5}:{(25,1),(26,1),(50,1),(55,1)}
       40:{1,3,6}:{(25,1),(27,1),(51,1),(55,1),(56,1)}
       41:{2,3,6}:{(26,1),(27,1),(30,1),(55,1),(57,1)}
       42:{3,5,6}:{(27,1),(28,1),(52,1),(58,1),(59,1),(77,1),(83,1)}
       43:{3,7}:{(27,1),(29,1)}
       44:{1,2,5,7}:{(28,1),(29,1),(33,1),(54,1),(59,1),(60,1),(61,1),(75,1)}
       45:{2,5,6}:{(30,1),(31,1),(61,1)}
       46:{2,4,7}:{(30,1),(32,1),(57,1),(61,1)}
       47:{4,5,6}:{(31,1),(58,1),(62,1),(83,1)}
       48:{3,5,7}:{(31,1),(32,1),(33,1),(61,1),(62,1),(63,1)}
       49:{1,6,7}:{(33,1),(63,1)}
       50:{1,2,4}:{(34,1),(35,1),(39,1),(64,1)}
       51:{1,4,6}:{(34,1),(36,1),(40,1),(65,1),(66,1),(80,1)}
       52:{3,5}:{(36,1),(37,1),(65,1),(67,1)}
       53:{3,4,7}:{(36,1),(38,1),(43,1),(66,1),(68,1),(71,1)}
       54:{2,5,7}:{(37,1),(38,1),(68,1),(69,1)}
       55:{1,2,6}:{(39,1),(40,1),(41,1),(70,1)}
       56:{1,3,7}:{(40,1),(43,1),(66,1),(70,1)}
       57:{2,3,7}:{(41,1),(43,1),(46,1),(70,1)}
       58:{4,6}:{(42,1),(67,1),(71,1)}
       59:{3,5,7}:{(42,1),(43,1),(44,1),(71,1),(72,1),(82,1)}
       60:{1,2,6,7}:{(44,1),(49,1),(69,1),(72,1),(73,1),(80,1)}
       61:{2,5,7}:{(45,1),(46,1),(48,1),(73,1)}
       62:{4,5,7}:{(47,1),(48,1),(71,1),(74,1),(82,1)}
       63:{3,6,7}:{(48,1),(49,1),(73,1),(74,1)}
       64:{1,3}:{(50,1)}
       65:{1,5}:{(51,1),(52,1)}
       66:{1,4,7}:{(51,1),(53,1),(56,1),(75,1)}
       67:{4,5}:{(52,1),(58,1)}
       68:{3,5,7}:{(52,1),(53,1),(54,1),(75,1),(76,1),(77,1)}
       69:{2,6}:{(54,1),(77,1)}
       70:{1,2,7}:{(55,1),(56,1),(57,1)}
       71:{4,7}:{(58,1),(59,1)}
       72:{3,6,7}:{(59,1),(60,1),(77,1),(78,1)}
       73:{2,6,7}:{(61,1),(63,1)}
       74:{4,6,7}:{(62,1),(63,1),(79,1)}
       75:{1,5,7}:{(65,1),(66,1),(68,1),(80,1)}
       76:{4,5,7}:{(67,1),(68,1),(71,1),(81,1),(82,1)}
       77:{3,6}:{(68,1),(69,1),(80,1),(81,1)}
       78:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       79:{5,6,7}:{(74,1),(82,1)}
       80:{1,6}:{(75,1),(77,1)}
       81:{4,6}:{(76,1),(77,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

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

 149 :   0:{1,3,5,7}:{(1,1),(2,1),(3,1),(12,1),(14,1),(18,1),(40,1)}
         1:{1,2,5,7}:{(0,1),(4,1),(5,1),(6,1),(25,1),(27,1),(48,1)}
         2:{1,4,7}:{(0,1),(8,1),(9,1),(56,1),(100,1)}
         3:{1,3,6}:{(0,1),(6,1),(9,1),(24,1),(28,1),(98,1)}
         4:{2,3,5,7}:{(1,1),(10,1),(11,1),(12,1),(32,1),(36,1),(40,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(16,1),(34,1),(37,1)}
         6:{1,2,6}:{(1,1),(3,1),(11,1),(43,1),(64,1),(103,1)}
         7:{1,4,5,7}:{(2,1),(14,1),(15,1),(18,1),(42,1),(46,1),(72,1)}
         8:{3,4,7}:{(2,1),(12,1),(14,1),(16,1),(17,1),(72,1),(93,1)}
         9:{1,4,6}:{(2,1),(3,1),(17,1),(18,1),(92,1),(94,1)}
        10:{2,4,7}:{(4,1),(20,1),(21,1),(56,1),(104,1)}
        11:{2,3,6}:{(4,1),(6,1),(21,1),(24,1),(49,1),(99,1)}
        12:{3,7}:{(5,1),(24,1)}
        13:{1,2,4,6}:{(5,1),(6,1),(9,1),(21,1),(24,1),(25,1),(30,1),(51,1),(53,1),(56,1),(80,1)}
        14:{3,5,7}:{(7,1),(8,1),(27,1),(28,1),(31,1)}
        15:{1,4,6}:{(7,1),(28,1),(29,1),(60,1)}
        16:{2,4,7}:{(8,1),(23,1),(27,1),(30,1)}
        17:{3,4,6}:{(8,1),(9,1),(24,1),(28,1),(30,1),(31,1),(56,1),(60,1),(82,1),(84,1)}
        18:{1,5}:{(9,1),(31,1)}
        19:{2,4,5,7}:{(10,1),(32,1),(33,1),(36,1),(63,1),(67,1),(87,1)}
        20:{3,4,7}:{(10,1),(12,1),(32,1),(34,1),(35,1),(87,1),(101,1)}
        21:{2,4,6}:{(10,1),(11,1),(35,1),(36,1),(91,1),(102,1)}
        22:{1,3,7}:{(12,1),(34,1),(37,1),(38,1),(101,1)}
        23:{2,3,7}:{(12,1),(16,1),(37,1),(39,1),(93,1)}
        24:{3,6}:{(12,1),(13,1),(40,1),(90,1)}
        25:{1,2,5}:{(13,1),(18,1),(36,1),(40,1),(45,1),(66,1)}
        26:{1,4,6,7}:{(15,1),(41,1),(42,1),(72,1)}
        27:{2,5,7}:{(14,1),(16,1),(43,1),(45,1)}
        28:{3,6}:{(14,1),(15,1),(43,1)}
        29:{1,5,6}:{(15,1),(18,1),(42,1),(44,1),(94,1)}
        30:{2,4,6}:{(16,1),(17,1),(39,1),(43,1),(45,1),(70,1)}
        31:{3,5}:{(17,1),(18,1),(45,1),(46,1)}
        32:{3,5,7}:{(19,1),(20,1),(48,1),(49,1),(52,1)}
        33:{2,4,6}:{(19,1),(49,1),(50,1),(78,1)}
        34:{1,4,7}:{(20,1),(22,1),(48,1),(51,1)}
        35:{3,4,6}:{(20,1),(21,1),(24,1),(49,1),(51,1),(52,1),(56,1),(78,1),(81,1),(96,1)}
        36:{2,5}:{(21,1),(52,1)}
        37:{1,2,7}:{(22,1),(23,1),(53,1),(100,1),(104,1)}
        38:{1,3,6}:{(22,1),(24,1),(51,1),(53,1),(54,1),(96,1)}
        39:{2,3,6}:{(23,1),(24,1),(30,1),(53,1),(55,1),(84,1)}
        40:{3,5}:{(24,1),(25,1),(56,1)}
        41:{3,6,7}:{(26,1),(28,1),(57,1),(58,1)}
        42:{1,5,7}:{(26,1),(29,1),(58,1),(100,1)}
        43:{2,6}:{(27,1),(28,1)}
        44:{3,5,6}:{(28,1),(29,1),(31,1),(58,1),(59,1),(60,1),(84,1)}
        45:{2,5}:{(30,1),(31,1)}
        46:{4,5}:{(31,1),(56,1),(60,1)}
        47:{2,4,6,7}:{(33,1),(62,1),(63,1),(87,1)}
        48:{1,5,7}:{(32,1),(34,1),(64,1),(66,1)}
        49:{3,6}:{(32,1),(33,1),(64,1)}
        50:{2,5,6}:{(33,1),(36,1),(63,1),(65,1),(102,1)}
        51:{1,4,6}:{(34,1),(35,1),(38,1),(64,1),(66,1),(69,1)}
        52:{3,5}:{(35,1),(36,1),(66,1),(67,1)}
        53:{1,2,6}:{(37,1),(38,1),(39,1),(68,1),(94,1),(102,1)}
        54:{1,3,5}:{(38,1),(40,1),(66,1),(68,1),(69,1),(89,1),(90,1)}
        55:{2,3,5}:{(39,1),(40,1),(45,1),(68,1),(70,1),(74,1),(90,1)}
        56:{4}:{(40,1)}
        57:{2,6,7}:{(41,1),(43,1),(71,1)}
        58:{3,5,7}:{(41,1),(42,1),(44,1),(71,1),(72,1),(93,1)}
        59:{2,5,6}:{(43,1),(44,1),(45,1),(71,1),(73,1)}
        60:{4,6}:{(44,1),(46,1),(72,1)}
        61:{2,4,5}:{(45,1),(46,1),(70,1),(73,1),(74,1)}
        62:{3,6,7}:{(47,1),(49,1),(75,1),(76,1)}
        63:{2,5,7}:{(47,1),(50,1),(76,1),(104,1)}
        64:{1,6}:{(48,1),(49,1)}
        65:{3,5,6}:{(49,1),(50,1),(52,1),(76,1),(77,1),(78,1),(96,1)}
        66:{1,5}:{(51,1),(52,1)}
        67:{4,5}:{(52,1),(56,1),(78,1)}
        68:{1,2,5}:{(53,1),(54,1),(55,1),(80,1),(85,1),(97,1)}
        69:{1,4}:{(54,1),(56,1),(81,1)}
        70:{2,4}:{(55,1),(56,1),(82,1)}
        71:{2,5,7}:{(57,1),(58,1),(59,1),(83,1)}
        72:{4,7}:{(58,1),(60,1)}
        73:{2,4,6}:{(59,1),(60,1),(61,1),(83,1),(84,1)}
        74:{3,5}:{(61,1),(82,1),(84,1),(85,1)}
        75:{1,6,7}:{(62,1),(64,1),(86,1)}
        76:{3,5,7}:{(62,1),(63,1),(65,1),(86,1),(87,1),(101,1)}
        77:{1,5,6}:{(64,1),(65,1),(66,1),(86,1),(88,1)}
        78:{4,6}:{(65,1),(67,1),(87,1)}
        79:{1,4,5}:{(66,1),(67,1),(69,1),(88,1),(89,1)}
        80:{1,2,4}:{(68,1),(69,1),(70,1),(90,1),(91,1),(92,1),(103,1)}
        81:{3,4}:{(69,1),(89,1),(90,1),(91,1)}
        82:{3,4}:{(70,1),(74,1),(90,1),(92,1)}
        83:{2,4,7}:{(71,1),(72,1),(73,1),(93,1)}
        84:{3,6}:{(73,1),(74,1),(93,1),(94,1)}
        85:{1,5}:{(74,1),(92,1),(94,1)}
        86:{1,5,7}:{(75,1),(76,1),(77,1),(95,1)}
        87:{4,7}:{(76,1),(78,1)}
        88:{1,4,6}:{(77,1),(78,1),(79,1),(95,1),(96,1)}
        89:{3,5}:{(79,1),(81,1),(96,1),(97,1)}
        90:{3}:{(80,1)}
        91:{2,4}:{(81,1),(97,1),(99,1)}
        92:{1,4}:{(82,1),(85,1),(98,1)}
        93:{3,7}:{(83,1),(84,1),(100,1)}
        94:{1,6}:{(84,1),(85,1),(100,1)}
        95:{1,4,7}:{(86,1),(87,1),(88,1),(101,1)}
        96:{3,6}:{(88,1),(89,1),(101,1),(102,1)}
        97:{2,5}:{(89,1),(91,1),(102,1)}
        98:{1,3}:{(90,1),(92,1),(103,1)}
        99:{2,3}:{(90,1),(91,1),(103,1)}
       100:{1,7}:{(93,1),(94,1)}
       101:{3,7}:{(95,1),(96,1),(104,1)}
       102:{2,6}:{(96,1),(97,1),(104,1)}
       103:{1,2}:{(98,1),(99,1)}
       104:{2,7}:{(101,1),(102,1)}

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

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

 152 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1)}
        2:{2,5}:{(0,1),(5,1),(21,1),(24,1)}
        3:{2,4,7}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,6}:{(1,1),(8,1),(9,1)}
        5:{3,5}:{(1,1),(2,1),(8,1),(10,1),(17,1)}
        6:{3,7}:{(1,1),(3,1),(9,1),(33,1)}
        7:{2,5,7}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,5}:{(4,1),(5,1),(13,1)}
        9:{1,7}:{(4,1),(6,1),(34,1)}
       10:{4}:{(5,1)}
       11:{3,5,7}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{2,6}:{(7,1),(16,1)}
       13:{1,4}:{(8,1),(10,1),(17,1)}
       14:{1,5,7}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{4,7}:{(10,1),(11,1),(20,1),(31,1)}
       16:{3,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{3}:{(13,1),(21,1)}
       18:{1,4,7}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,6}:{(14,1),(16,1)}
       20:{4,6}:{(15,1),(16,1),(24,1)}
       21:{2}:{(17,1)}
       22:{3,7}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,4,6}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{5}:{(20,1)}
       25:{2,7}:{(21,1),(22,1),(28,1)}
       26:{3,6}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,5}:{(23,1),(24,1),(29,1),(34,1)}
       28:{2,6}:{(25,1),(26,1),(30,1)}
       29:{3,5}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{2,5}:{(28,1),(29,1),(32,1)}
       31:{4}:{(29,1)}
       32:{2,4}:{(30,1),(31,1),(33,1)}
       33:{3}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

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

 154 :  0:{5,6}:{(4,1),(5,1),(45,1),(54,1)}
        1:{4,5}:{(4,1),(6,1),(35,1),(45,1)}
        2:{3,4}:{(6,1),(7,1),(8,1),(23,1),(35,1)}
        3:{1,3}:{(7,1),(9,1),(23,1)}
        4:{4,6}:{(0,1),(1,1),(11,1),(12,1)}
        5:{5,7}:{(0,1),(12,1),(13,1)}
        6:{3,5}:{(1,1),(2,1),(11,1),(14,1),(15,1)}
        7:{1,4}:{(2,1),(3,1),(14,1)}
        8:{2,4}:{(2,1),(10,1),(15,1)}
        9:{1,2}:{(3,1),(17,1)}
       10:{2,3}:{(8,1),(18,1),(23,1)}
       11:{3,6}:{(4,1),(6,1),(19,1),(20,1),(21,1)}
       12:{4,7}:{(4,1),(5,1),(21,1)}
       13:{6,7}:{(5,1),(54,1)}
       14:{1,5}:{(6,1),(7,1),(19,1)}
       15:{2,5}:{(6,1),(8,1),(20,1)}
       16:{1,2,4}:{(7,1),(8,1),(9,1),(18,1),(22,1),(23,1),(24,1),(32,1),(35,1)}
       17:{2,3}:{(9,1),(23,1),(24,1)}
       18:{1,2}:{(10,1),(25,1)}
       19:{1,6}:{(11,1),(14,1),(27,1)}
       20:{2,6}:{(11,1),(15,1),(28,1)}
       21:{3,7}:{(11,1),(12,1),(27,1),(28,1)}
       22:{1,2,5}:{(14,1),(15,1),(16,1),(26,1),(29,1),(31,1),(38,1)}
       23:{3}:{(16,1)}
       24:{2,4}:{(17,1),(30,1),(31,1)}
       25:{1,3}:{(18,1),(23,1),(32,1)}
       26:{1,2,6}:{(19,1),(20,1),(22,1),(33,1),(34,1),(37,1),(44,1)}
       27:{1,7}:{(19,1),(21,1)}
       28:{2,7}:{(20,1),(21,1)}
       29:{3,5}:{(22,1),(23,1),(33,1),(35,1),(45,1)}
       30:{3,4}:{(23,1),(24,1),(32,1),(35,1),(36,1)}
       31:{2,5}:{(24,1),(36,1),(37,1)}
       32:{1,4}:{(25,1),(30,1),(38,1)}
       33:{3,6}:{(26,1),(29,1),(39,1),(40,1)}
       34:{1,2,7}:{(26,1),(27,1),(28,1),(40,1),(43,1),(49,1)}
       35:{4}:{(29,1)}
       36:{3,5}:{(30,1),(31,1),(38,1),(41,1),(42,1)}
       37:{2,6}:{(31,1),(42,1),(43,1)}
       38:{1,5}:{(32,1),(36,1),(44,1)}
       39:{4,6}:{(33,1),(35,1),(45,1),(46,1),(54,1)}
       40:{3,7}:{(33,1),(34,1),(46,1)}
       41:{4,5}:{(35,1),(36,1),(45,1),(47,1)}
       42:{3,6}:{(36,1),(37,1),(44,1),(47,1),(48,1)}
       43:{2,7}:{(37,1),(48,1)}
       44:{1,6}:{(38,1),(42,1),(49,1)}
       45:{5}:{(39,1)}
       46:{4,7}:{(39,1),(40,1),(51,1)}
       47:{4,6}:{(41,1),(42,1),(50,1),(52,1)}
       48:{3,7}:{(42,1),(43,1),(49,1),(52,1)}
       49:{1,7}:{(44,1),(48,1)}
       50:{5,6}:{(45,1),(47,1),(53,1),(54,1)}
       51:{5,7}:{(45,1),(46,1),(54,1)}
       52:{4,7}:{(47,1),(48,1),(53,1)}
       53:{5,7}:{(50,1),(52,1),(55,1)}
       54:{6}:{(51,1)}
       55:{6,7}:{(53,1),(54,1)}

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

 156 :   0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(14,1),(18,1),(44,1)}
         1:{1,2,5,7}:{(0,1),(5,1),(6,1),(7,1),(19,1),(29,1),(51,1)}
         2:{1,4,7}:{(0,1),(8,1),(9,1),(60,1),(95,1)}
         3:{1,3,6}:{(0,1),(7,1),(9,1),(20,1),(28,1),(99,1)}
         4:{1,4,5,7}:{(2,1),(10,1),(11,1),(18,1),(35,1),(46,1),(64,1)}
         5:{2,3,5,7}:{(1,1),(12,1),(13,1),(14,1),(36,1),(40,1),(44,1)}
         6:{1,2,4,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(16,1),(38,1),(41,1)}
         7:{1,2,6}:{(1,1),(3,1),(13,1),(32,1),(65,1),(103,1)}
         8:{3,4,7}:{(2,1),(10,1),(14,1),(16,1),(17,1),(64,1),(86,1)}
         9:{1,4,6}:{(2,1),(3,1),(17,1),(18,1),(87,1),(94,1)}
        10:{3,5,7}:{(4,1),(8,1),(19,1),(20,1),(31,1)}
        11:{1,4,6}:{(4,1),(20,1),(22,1),(50,1)}
        12:{2,4,7}:{(5,1),(24,1),(25,1),(60,1),(104,1)}
        13:{2,3,6}:{(5,1),(7,1),(25,1),(28,1),(52,1),(100,1)}
        14:{3,7}:{(6,1),(28,1)}
        15:{1,2,4,6}:{(6,1),(7,1),(9,1),(25,1),(28,1),(29,1),(30,1),(55,1),(57,1),(60,1),(82,1)}
        16:{2,4,7}:{(8,1),(19,1),(27,1),(30,1)}
        17:{3,4,6}:{(8,1),(9,1),(20,1),(28,1),(30,1),(31,1),(50,1),(60,1),(76,1),(84,1)}
        18:{1,5}:{(9,1),(31,1)}
        19:{2,5,7}:{(10,1),(16,1),(32,1),(45,1)}
        20:{3,6}:{(10,1),(11,1),(32,1)}
        21:{1,4,6,7}:{(11,1),(33,1),(35,1),(64,1)}
        22:{1,5,6}:{(11,1),(18,1),(34,1),(35,1),(87,1)}
        23:{2,4,5,7}:{(12,1),(36,1),(37,1),(40,1),(68,1),(70,1),(90,1)}
        24:{3,4,7}:{(12,1),(14,1),(36,1),(38,1),(39,1),(90,1),(101,1)}
        25:{2,4,6}:{(12,1),(13,1),(39,1),(40,1),(93,1),(102,1)}
        26:{1,3,7}:{(14,1),(38,1),(41,1),(42,1),(101,1)}
        27:{2,3,7}:{(14,1),(16,1),(41,1),(43,1),(86,1)}
        28:{3,6}:{(14,1),(15,1),(44,1),(92,1)}
        29:{1,2,5}:{(15,1),(18,1),(40,1),(44,1),(45,1),(69,1)}
        30:{2,4,6}:{(16,1),(17,1),(32,1),(43,1),(45,1),(73,1)}
        31:{3,5}:{(17,1),(18,1),(45,1),(46,1)}
        32:{2,6}:{(19,1),(20,1)}
        33:{3,6,7}:{(20,1),(21,1),(47,1),(49,1)}
        34:{3,5,6}:{(20,1),(22,1),(31,1),(48,1),(49,1),(50,1),(76,1)}
        35:{1,5,7}:{(21,1),(22,1),(49,1),(95,1)}
        36:{3,5,7}:{(23,1),(24,1),(51,1),(52,1),(56,1)}
        37:{2,4,6}:{(23,1),(52,1),(54,1),(80,1)}
        38:{1,4,7}:{(24,1),(26,1),(51,1),(55,1)}
        39:{3,4,6}:{(24,1),(25,1),(28,1),(52,1),(55,1),(56,1),(60,1),(80,1),(83,1),(97,1)}
        40:{2,5}:{(25,1),(56,1)}
        41:{1,2,7}:{(26,1),(27,1),(57,1),(95,1),(104,1)}
        42:{1,3,6}:{(26,1),(28,1),(55,1),(57,1),(58,1),(97,1)}
        43:{2,3,6}:{(27,1),(28,1),(30,1),(57,1),(59,1),(76,1)}
        44:{3,5}:{(28,1),(29,1),(60,1)}
        45:{2,5}:{(30,1),(31,1)}
        46:{4,5}:{(31,1),(50,1),(60,1)}
        47:{2,6,7}:{(32,1),(33,1),(62,1)}
        48:{2,5,6}:{(32,1),(34,1),(45,1),(62,1),(63,1)}
        49:{3,5,7}:{(33,1),(34,1),(35,1),(62,1),(64,1),(86,1)}
        50:{4,6}:{(34,1),(46,1),(64,1)}
        51:{1,5,7}:{(36,1),(38,1),(65,1),(69,1)}
        52:{3,6}:{(36,1),(37,1),(65,1)}
        53:{2,4,6,7}:{(37,1),(66,1),(68,1),(90,1)}
        54:{2,5,6}:{(37,1),(40,1),(67,1),(68,1),(102,1)}
        55:{1,4,6}:{(38,1),(39,1),(42,1),(65,1),(69,1),(72,1)}
        56:{3,5}:{(39,1),(40,1),(69,1),(70,1)}
        57:{1,2,6}:{(41,1),(42,1),(43,1),(71,1),(87,1),(102,1)}
        58:{1,3,5}:{(42,1),(44,1),(69,1),(71,1),(72,1),(91,1),(92,1)}
        59:{2,3,5}:{(43,1),(44,1),(45,1),(71,1),(73,1),(74,1),(92,1)}
        60:{4}:{(44,1)}
        61:{2,4,5}:{(45,1),(46,1),(63,1),(73,1),(74,1)}
        62:{2,5,7}:{(47,1),(48,1),(49,1),(75,1)}
        63:{2,4,6}:{(48,1),(50,1),(61,1),(75,1),(76,1)}
        64:{4,7}:{(49,1),(50,1)}
        65:{1,6}:{(51,1),(52,1)}
        66:{3,6,7}:{(52,1),(53,1),(77,1),(79,1)}
        67:{3,5,6}:{(52,1),(54,1),(56,1),(78,1),(79,1),(80,1),(97,1)}
        68:{2,5,7}:{(53,1),(54,1),(79,1),(104,1)}
        69:{1,5}:{(55,1),(56,1)}
        70:{4,5}:{(56,1),(60,1),(80,1)}
        71:{1,2,5}:{(57,1),(58,1),(59,1),(82,1),(85,1),(98,1)}
        72:{1,4}:{(58,1),(60,1),(83,1)}
        73:{2,4}:{(59,1),(60,1),(84,1)}
        74:{3,5}:{(61,1),(76,1),(84,1),(85,1)}
        75:{2,4,7}:{(62,1),(63,1),(64,1),(86,1)}
        76:{3,6}:{(63,1),(74,1),(86,1),(87,1)}
        77:{1,6,7}:{(65,1),(66,1),(88,1)}
        78:{1,5,6}:{(65,1),(67,1),(69,1),(88,1),(89,1)}
        79:{3,5,7}:{(66,1),(67,1),(68,1),(88,1),(90,1),(101,1)}
        80:{4,6}:{(67,1),(70,1),(90,1)}
        81:{1,4,5}:{(69,1),(70,1),(72,1),(89,1),(91,1)}
        82:{1,2,4}:{(71,1),(72,1),(73,1),(92,1),(93,1),(94,1),(103,1)}
        83:{3,4}:{(72,1),(91,1),(92,1),(93,1)}
        84:{3,4}:{(73,1),(74,1),(92,1),(94,1)}
        85:{1,5}:{(74,1),(87,1),(94,1)}
        86:{3,7}:{(75,1),(76,1),(95,1)}
        87:{1,6}:{(76,1),(85,1),(95,1)}
        88:{1,5,7}:{(77,1),(78,1),(79,1),(96,1)}
        89:{1,4,6}:{(78,1),(80,1),(81,1),(96,1),(97,1)}
        90:{4,7}:{(79,1),(80,1)}
        91:{3,5}:{(81,1),(83,1),(97,1),(98,1)}
        92:{3}:{(82,1)}
        93:{2,4}:{(83,1),(98,1),(100,1)}
        94:{1,4}:{(84,1),(85,1),(99,1)}
        95:{1,7}:{(86,1),(87,1)}
        96:{1,4,7}:{(88,1),(89,1),(90,1),(101,1)}
        97:{3,6}:{(89,1),(91,1),(101,1),(102,1)}
        98:{2,5}:{(91,1),(93,1),(102,1)}
        99:{1,3}:{(92,1),(94,1),(103,1)}
       100:{2,3}:{(92,1),(93,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{2,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{2,7}:{(101,1),(102,1)}

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

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

 159 :   0:{1,4,6,7}:{(1,1),(2,1),(9,1),(10,1)}
         1:{3,6,7}:{(0,1),(3,1),(4,1),(16,1)}
         2:{1,5,7}:{(0,1),(4,1),(5,1),(30,1)}
         3:{2,6,7}:{(1,1),(7,1),(26,1)}
         4:{3,5,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(20,1)}
         5:{1,5,6}:{(2,1),(8,1),(10,1),(39,1),(42,1)}
         6:{1,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(21,1),(23,1),(42,1)}
         7:{2,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{3,5,6}:{(4,1),(5,1),(12,1),(14,1),(16,1),(29,1),(32,1)}
         9:{4,7}:{(4,1),(14,1)}
        10:{1,4,6}:{(5,1),(6,1),(14,1),(16,1)}
        11:{3,5,7}:{(6,1),(15,1),(16,1),(18,1),(32,1)}
        12:{2,5,6}:{(7,1),(8,1),(19,1),(26,1),(43,1)}
        13:{2,4,7}:{(7,1),(9,1),(19,1),(20,1)}
        14:{4,6}:{(8,1),(9,1),(21,1)}
        15:{3,4,7}:{(9,1),(11,1),(20,1),(22,1),(23,1),(24,1),(45,1)}
        16:{3,6}:{(10,1),(11,1),(26,1)}
        17:{1,3,5,7}:{(11,1),(23,1),(25,1),(27,1),(42,1),(45,1),(63,1)}
        18:{2,5,7}:{(11,1),(24,1),(26,1),(43,1)}
        19:{2,4,6}:{(12,1),(13,1),(14,1),(28,1),(29,1)}
        20:{3,7}:{(13,1),(29,1),(30,1)}
        21:{4,5}:{(14,1),(32,1),(73,1)}
        22:{3,4,6}:{(14,1),(15,1),(16,1),(29,1),(32,1),(33,1),(34,1),(48,1),(54,1),(73,1)}
        23:{1,4,7}:{(15,1),(17,1),(30,1),(33,1),(73,1)}
        24:{2,4,7}:{(15,1),(18,1),(31,1),(34,1)}
        25:{1,3,6}:{(16,1),(17,1),(33,1),(36,1),(54,1),(68,1)}
        26:{2,6}:{(16,1),(18,1)}
        27:{1,2,5,7}:{(17,1),(18,1),(35,1),(36,1),(37,1),(53,1),(72,1)}
        28:{2,4,5}:{(19,1),(21,1),(38,1),(43,1),(59,1)}
        29:{3,6}:{(19,1),(20,1),(38,1),(39,1)}
        30:{1,7}:{(20,1),(39,1)}
        31:{2,3,7}:{(20,1),(24,1),(40,1),(41,1),(45,1)}
        32:{3,5}:{(21,1),(22,1),(42,1),(43,1)}
        33:{1,4,6}:{(22,1),(23,1),(25,1),(39,1),(42,1),(58,1)}
        34:{2,4,6}:{(22,1),(24,1),(26,1),(40,1),(43,1),(59,1)}
        35:{1,2,4,7}:{(23,1),(24,1),(27,1),(41,1),(44,1),(45,1),(47,1),(62,1)}
        36:{1,2,6}:{(25,1),(26,1),(27,1),(46,1),(78,1),(82,1)}
        37:{2,3,5,7}:{(27,1),(45,1),(46,1),(47,1),(63,1),(65,1),(66,1)}
        38:{3,5}:{(28,1),(29,1),(48,1),(49,1)}
        39:{1,6}:{(29,1),(30,1),(49,1)}
        40:{2,3,6}:{(29,1),(31,1),(34,1),(50,1),(51,1),(54,1)}
        41:{1,2,7}:{(30,1),(31,1),(51,1),(52,1),(104,1)}
        42:{1,5}:{(32,1),(33,1)}
        43:{2,5}:{(32,1),(34,1)}
        44:{1,2,4,6}:{(33,1),(34,1),(35,1),(36,1),(51,1),(53,1),(54,1),(56,1),(69,1),(71,1),(73,1)}
        45:{3,7}:{(35,1),(54,1)}
        46:{2,3,6}:{(36,1),(37,1),(54,1),(56,1),(75,1),(87,1)}
        47:{2,4,7}:{(37,1),(55,1),(56,1),(73,1),(104,1)}
        48:{3,4}:{(38,1),(58,1),(59,1),(79,1)}
        49:{1,5}:{(38,1),(39,1),(58,1)}
        50:{2,3,5}:{(38,1),(40,1),(43,1),(59,1),(60,1),(63,1),(79,1)}
        51:{1,2,6}:{(39,1),(40,1),(41,1),(60,1),(61,1),(102,1)}
        52:{1,3,7}:{(41,1),(45,1),(61,1),(62,1),(103,1)}
        53:{1,2,5}:{(42,1),(43,1),(44,1),(63,1),(66,1),(81,1)}
        54:{3,6}:{(44,1),(45,1),(63,1),(79,1)}
        55:{3,4,7}:{(45,1),(47,1),(62,1),(64,1),(65,1),(98,1),(103,1)}
        56:{2,4,6}:{(46,1),(47,1),(64,1),(66,1),(94,1),(102,1)}
        57:{2,4,5,7}:{(47,1),(65,1),(66,1),(67,1),(83,1),(86,1),(98,1)}
        58:{1,4}:{(48,1),(49,1),(68,1)}
        59:{2,4}:{(48,1),(50,1),(73,1)}
        60:{1,2,5}:{(49,1),(50,1),(51,1),(69,1),(70,1),(99,1)}
        61:{1,3,6}:{(51,1),(52,1),(54,1),(70,1),(71,1),(100,1)}
        62:{1,4,7}:{(52,1),(55,1),(71,1),(72,1)}
        63:{3,5}:{(53,1),(54,1),(73,1)}
        64:{3,4,6}:{(54,1),(55,1),(56,1),(71,1),(73,1),(74,1),(75,1),(88,1),(92,1),(100,1)}
        65:{3,5,7}:{(55,1),(57,1),(72,1),(74,1),(75,1)}
        66:{2,5}:{(56,1),(74,1)}
        67:{2,4,6}:{(57,1),(75,1),(76,1),(92,1)}
        68:{1,3}:{(58,1),(78,1),(79,1)}
        69:{1,2,4}:{(58,1),(59,1),(60,1),(78,1),(79,1),(80,1),(94,1)}
        70:{1,3,5}:{(60,1),(61,1),(63,1),(79,1),(80,1),(81,1),(95,1)}
        71:{1,4,6}:{(61,1),(62,1),(64,1),(80,1),(81,1),(82,1)}
        72:{1,5,7}:{(62,1),(65,1),(81,1),(82,1)}
        73:{4}:{(63,1)}
        74:{3,5}:{(64,1),(66,1),(81,1),(83,1)}
        75:{3,6}:{(65,1),(67,1),(82,1)}
        76:{2,5,6}:{(66,1),(67,1),(84,1),(86,1),(102,1)}
        77:{2,4,6,7}:{(67,1),(85,1),(86,1),(98,1)}
        78:{1,2}:{(68,1),(87,1)}
        79:{3}:{(69,1)}
        80:{1,4}:{(70,1),(73,1),(88,1)}
        81:{1,5}:{(71,1),(74,1)}
        82:{1,6}:{(72,1),(75,1)}
        83:{4,5}:{(73,1),(74,1),(92,1)}
        84:{3,5,6}:{(74,1),(75,1),(76,1),(90,1),(92,1),(93,1),(100,1)}
        85:{3,6,7}:{(75,1),(77,1),(91,1),(93,1)}
        86:{2,5,7}:{(76,1),(77,1),(93,1),(104,1)}
        87:{2,3}:{(78,1),(79,1),(94,1)}
        88:{3,4}:{(79,1),(80,1),(94,1),(95,1)}
        89:{1,4,5}:{(80,1),(81,1),(83,1),(95,1),(96,1)}
        90:{1,5,6}:{(81,1),(82,1),(84,1),(96,1),(97,1)}
        91:{1,6,7}:{(82,1),(85,1),(97,1)}
        92:{4,6}:{(83,1),(84,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(86,1),(97,1),(98,1),(103,1)}
        94:{2,4}:{(87,1),(88,1),(99,1)}
        95:{3,5}:{(88,1),(89,1),(99,1),(100,1)}
        96:{1,4,6}:{(89,1),(90,1),(92,1),(100,1),(101,1)}
        97:{1,5,7}:{(90,1),(91,1),(93,1),(101,1)}
        98:{4,7}:{(92,1),(93,1)}
        99:{2,5}:{(94,1),(95,1),(102,1)}
       100:{3,6}:{(95,1),(96,1),(102,1),(103,1)}
       101:{1,4,7}:{(96,1),(97,1),(98,1),(103,1)}
       102:{2,6}:{(99,1),(100,1),(104,1)}
       103:{3,7}:{(100,1),(101,1),(104,1)}
       104:{2,7}:{(102,1),(103,1)}

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

 161 :  0:{1,4,6}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,5}:{(0,1),(5,1),(21,1),(24,1)}
        3:{1,4,7}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{2,6}:{(1,1),(8,1),(9,1)}
        5:{3,5}:{(1,1),(2,1),(8,1),(10,1),(17,1)}
        6:{3,7}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,5,7}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{2,5}:{(4,1),(5,1),(13,1)}
        9:{2,7}:{(4,1),(6,1),(34,1)}
       10:{4}:{(5,1)}
       11:{3,5,7}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,6}:{(7,1),(16,1)}
       13:{2,4}:{(8,1),(10,1),(17,1)}
       14:{2,5,7}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{4,7}:{(10,1),(11,1),(20,1),(31,1)}
       16:{3,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{3}:{(13,1),(21,1)}
       18:{2,4,7}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{2,6}:{(14,1),(16,1)}
       20:{4,6}:{(15,1),(16,1),(24,1)}
       21:{1}:{(17,1)}
       22:{3,7}:{(17,1),(18,1),(25,1),(26,1)}
       23:{2,4,6}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{5}:{(20,1)}
       25:{1,7}:{(21,1),(22,1),(28,1)}
       26:{3,6}:{(22,1),(23,1),(28,1),(29,1)}
       27:{2,5}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,6}:{(25,1),(26,1),(30,1)}
       29:{3,5}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,5}:{(28,1),(29,1),(32,1)}
       31:{4}:{(29,1)}
       32:{1,4}:{(30,1),(31,1),(33,1)}
       33:{3}:{(32,1),(34,1)}
       34:{2}:{(33,1)}

 162 :  0:{2,3,4}:{(1,1),(2,1),(22,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1),(13,1)}
        2:{2,3,5}:{(0,1),(4,1),(5,1),(6,1),(15,1)}
        3:{1,3}:{(1,1)}
        4:{1,2,5}:{(1,1),(2,1),(7,1),(9,1)}
        5:{2,4,5}:{(2,1),(10,1),(11,1)}
        6:{2,3,6}:{(2,1),(9,1),(11,1),(12,1),(27,1)}
        7:{1,3,5}:{(3,1),(4,1),(13,1),(14,1),(15,1),(37,1)}
        8:{1,2,4,5}:{(4,1),(5,1),(13,1),(15,1),(16,1),(18,1),(35,1),(37,1),(39,1),(65,1),(67,1)}
        9:{1,2,6}:{(4,1),(6,1),(14,1),(17,1)}
       10:{3,4,5}:{(5,1),(15,1),(18,1),(19,1),(67,1)}
       11:{2,4,6}:{(5,1),(6,1),(19,1),(20,1),(21,1)}
       12:{2,3,7}:{(6,1),(17,1),(21,1),(43,1)}
       13:{1,4}:{(7,1),(22,1)}
       14:{1,3,6}:{(7,1),(9,1),(23,1),(24,1),(27,1)}
       15:{3,5}:{(8,1),(22,1),(27,1)}
       16:{1,2,4,6}:{(8,1),(9,1),(11,1),(23,1),(27,1),(28,1),(29,1),(30,1),(51,1),(55,1),(58,1)}
       17:{1,2,7}:{(9,1),(12,1),(24,1)}
       18:{1,4,5}:{(10,1),(25,1),(30,1)}
       19:{3,4,6}:{(10,1),(11,1),(27,1),(30,1),(31,1),(32,1),(58,1)}
       20:{2,5,6}:{(11,1),(31,1),(33,1)}
       21:{2,4,7}:{(11,1),(12,1),(32,1),(33,1)}
       22:{3,4}:{(13,1),(15,1),(35,1)}
       23:{1,4,6}:{(13,1),(14,1),(36,1),(37,1),(38,1),(69,1)}
       24:{1,3,7}:{(14,1),(17,1),(38,1),(43,1)}
       25:{1,3,5}:{(15,1),(18,1),(34,1),(39,1),(40,1)}
       26:{2,3,5}:{(15,1),(35,1),(39,1),(41,1),(64,1),(65,1)}
       27:{3,6}:{(15,1),(16,1),(43,1)}
       28:{1,2,5,6}:{(16,1),(20,1),(37,1),(42,1),(44,1),(45,1),(65,1),(69,1),(80,1)}
       29:{1,2,4,7}:{(16,1),(17,1),(21,1),(38,1),(43,1),(44,1),(46,1),(66,1),(70,1),(71,1)}
       30:{1,4,6}:{(18,1),(19,1),(40,1),(45,1),(46,1)}
       31:{3,5,6}:{(19,1),(20,1),(45,1),(47,1),(48,1)}
       32:{3,4,7}:{(19,1),(21,1),(43,1),(46,1),(48,1),(71,1)}
       33:{2,5,7}:{(20,1),(21,1),(48,1),(49,1)}
       34:{1,3,4}:{(22,1),(25,1),(50,1)}
       35:{2,4}:{(22,1),(26,1)}
       36:{3,4,6}:{(22,1),(23,1),(27,1),(51,1),(52,1),(53,1),(58,1),(77,1)}
       37:{1,5}:{(23,1),(52,1)}
       38:{1,4,7}:{(23,1),(24,1),(53,1),(54,1)}
       39:{1,2,5}:{(25,1),(26,1),(50,1),(55,1)}
       40:{1,3,6}:{(25,1),(27,1),(30,1),(55,1),(56,1)}
       41:{2,3,6}:{(26,1),(27,1),(51,1),(55,1),(57,1)}
       42:{3,5,6}:{(27,1),(28,1),(52,1),(58,1),(59,1),(77,1),(83,1)}
       43:{3,7}:{(27,1),(29,1)}
       44:{1,2,5,7}:{(28,1),(29,1),(33,1),(54,1),(59,1),(60,1),(61,1),(75,1)}
       45:{1,5,6}:{(30,1),(31,1),(61,1)}
       46:{1,4,7}:{(30,1),(32,1),(56,1),(61,1)}
       47:{4,5,6}:{(31,1),(58,1),(62,1),(83,1)}
       48:{3,5,7}:{(31,1),(32,1),(33,1),(61,1),(62,1),(63,1)}
       49:{2,6,7}:{(33,1),(63,1)}
       50:{1,2,4}:{(34,1),(35,1),(39,1),(64,1)}
       51:{2,4,6}:{(35,1),(36,1),(41,1),(65,1),(66,1),(80,1)}
       52:{3,5}:{(36,1),(37,1),(65,1),(67,1)}
       53:{3,4,7}:{(36,1),(38,1),(43,1),(66,1),(68,1),(71,1)}
       54:{1,5,7}:{(37,1),(38,1),(68,1),(69,1)}
       55:{1,2,6}:{(39,1),(40,1),(41,1),(70,1)}
       56:{1,3,7}:{(40,1),(43,1),(46,1),(70,1)}
       57:{2,3,7}:{(41,1),(43,1),(66,1),(70,1)}
       58:{4,6}:{(42,1),(67,1),(71,1)}
       59:{3,5,7}:{(42,1),(43,1),(44,1),(71,1),(72,1),(82,1)}
       60:{1,2,6,7}:{(44,1),(49,1),(69,1),(72,1),(73,1),(80,1)}
       61:{1,5,7}:{(45,1),(46,1),(48,1),(73,1)}
       62:{4,5,7}:{(47,1),(48,1),(71,1),(74,1),(82,1)}
       63:{3,6,7}:{(48,1),(49,1),(73,1),(74,1)}
       64:{2,3}:{(50,1)}
       65:{2,5}:{(51,1),(52,1)}
       66:{2,4,7}:{(51,1),(53,1),(57,1),(75,1)}
       67:{4,5}:{(52,1),(58,1)}
       68:{3,5,7}:{(52,1),(53,1),(54,1),(75,1),(76,1),(77,1)}
       69:{1,6}:{(54,1),(77,1)}
       70:{1,2,7}:{(55,1),(56,1),(57,1)}
       71:{4,7}:{(58,1),(59,1)}
       72:{3,6,7}:{(59,1),(60,1),(77,1),(78,1)}
       73:{1,6,7}:{(61,1),(63,1)}
       74:{4,6,7}:{(62,1),(63,1),(79,1)}
       75:{2,5,7}:{(65,1),(66,1),(68,1),(80,1)}
       76:{4,5,7}:{(67,1),(68,1),(71,1),(81,1),(82,1)}
       77:{3,6}:{(68,1),(69,1),(80,1),(81,1)}
       78:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       79:{5,6,7}:{(74,1),(82,1)}
       80:{2,6}:{(75,1),(77,1)}
       81:{4,6}:{(76,1),(77,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

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

 164 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(12,1),(14,1),(18,1),(40,1)}
         1:{1,2,5,7}:{(0,1),(4,1),(5,1),(6,1),(25,1),(27,1),(48,1)}
         2:{2,4,7}:{(0,1),(8,1),(9,1),(56,1),(100,1)}
         3:{2,3,6}:{(0,1),(6,1),(9,1),(24,1),(28,1),(99,1)}
         4:{1,3,5,7}:{(1,1),(10,1),(11,1),(12,1),(32,1),(36,1),(40,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(10,1),(12,1),(13,1),(16,1),(34,1),(37,1)}
         6:{1,2,6}:{(1,1),(3,1),(11,1),(43,1),(64,1),(103,1)}
         7:{2,4,5,7}:{(2,1),(14,1),(15,1),(18,1),(42,1),(46,1),(72,1)}
         8:{3,4,7}:{(2,1),(12,1),(14,1),(16,1),(17,1),(72,1),(93,1)}
         9:{2,4,6}:{(2,1),(3,1),(17,1),(18,1),(91,1),(94,1)}
        10:{1,4,7}:{(4,1),(20,1),(21,1),(56,1),(104,1)}
        11:{1,3,6}:{(4,1),(6,1),(21,1),(24,1),(49,1),(98,1)}
        12:{3,7}:{(5,1),(24,1)}
        13:{1,2,4,6}:{(5,1),(6,1),(9,1),(21,1),(24,1),(25,1),(30,1),(51,1),(53,1),(56,1),(80,1)}
        14:{3,5,7}:{(7,1),(8,1),(27,1),(28,1),(31,1)}
        15:{2,4,6}:{(7,1),(28,1),(29,1),(60,1)}
        16:{1,4,7}:{(8,1),(22,1),(27,1),(30,1)}
        17:{3,4,6}:{(8,1),(9,1),(24,1),(28,1),(30,1),(31,1),(56,1),(60,1),(81,1),(84,1)}
        18:{2,5}:{(9,1),(31,1)}
        19:{1,4,5,7}:{(10,1),(32,1),(33,1),(36,1),(63,1),(67,1),(87,1)}
        20:{3,4,7}:{(10,1),(12,1),(32,1),(34,1),(35,1),(87,1),(101,1)}
        21:{1,4,6}:{(10,1),(11,1),(35,1),(36,1),(92,1),(102,1)}
        22:{1,3,7}:{(12,1),(16,1),(37,1),(38,1),(93,1)}
        23:{2,3,7}:{(12,1),(34,1),(37,1),(39,1),(101,1)}
        24:{3,6}:{(12,1),(13,1),(40,1),(90,1)}
        25:{1,2,5}:{(13,1),(18,1),(36,1),(40,1),(45,1),(66,1)}
        26:{2,4,6,7}:{(15,1),(41,1),(42,1),(72,1)}
        27:{1,5,7}:{(14,1),(16,1),(43,1),(45,1)}
        28:{3,6}:{(14,1),(15,1),(43,1)}
        29:{2,5,6}:{(15,1),(18,1),(42,1),(44,1),(94,1)}
        30:{1,4,6}:{(16,1),(17,1),(38,1),(43,1),(45,1),(69,1)}
        31:{3,5}:{(17,1),(18,1),(45,1),(46,1)}
        32:{3,5,7}:{(19,1),(20,1),(48,1),(49,1),(52,1)}
        33:{1,4,6}:{(19,1),(49,1),(50,1),(78,1)}
        34:{2,4,7}:{(20,1),(23,1),(48,1),(51,1)}
        35:{3,4,6}:{(20,1),(21,1),(24,1),(49,1),(51,1),(52,1),(56,1),(78,1),(82,1),(96,1)}
        36:{1,5}:{(21,1),(52,1)}
        37:{1,2,7}:{(22,1),(23,1),(53,1),(100,1),(104,1)}
        38:{1,3,6}:{(22,1),(24,1),(30,1),(53,1),(54,1),(84,1)}
        39:{2,3,6}:{(23,1),(24,1),(51,1),(53,1),(55,1),(96,1)}
        40:{3,5}:{(24,1),(25,1),(56,1)}
        41:{3,6,7}:{(26,1),(28,1),(57,1),(58,1)}
        42:{2,5,7}:{(26,1),(29,1),(58,1),(100,1)}
        43:{1,6}:{(27,1),(28,1)}
        44:{3,5,6}:{(28,1),(29,1),(31,1),(58,1),(59,1),(60,1),(84,1)}
        45:{1,5}:{(30,1),(31,1)}
        46:{4,5}:{(31,1),(56,1),(60,1)}
        47:{1,4,6,7}:{(33,1),(62,1),(63,1),(87,1)}
        48:{2,5,7}:{(32,1),(34,1),(64,1),(66,1)}
        49:{3,6}:{(32,1),(33,1),(64,1)}
        50:{1,5,6}:{(33,1),(36,1),(63,1),(65,1),(102,1)}
        51:{2,4,6}:{(34,1),(35,1),(39,1),(64,1),(66,1),(70,1)}
        52:{3,5}:{(35,1),(36,1),(66,1),(67,1)}
        53:{1,2,6}:{(37,1),(38,1),(39,1),(68,1),(94,1),(102,1)}
        54:{1,3,5}:{(38,1),(40,1),(45,1),(68,1),(69,1),(74,1),(90,1)}
        55:{2,3,5}:{(39,1),(40,1),(66,1),(68,1),(70,1),(89,1),(90,1)}
        56:{4}:{(40,1)}
        57:{1,6,7}:{(41,1),(43,1),(71,1)}
        58:{3,5,7}:{(41,1),(42,1),(44,1),(71,1),(72,1),(93,1)}
        59:{1,5,6}:{(43,1),(44,1),(45,1),(71,1),(73,1)}
        60:{4,6}:{(44,1),(46,1),(72,1)}
        61:{1,4,5}:{(45,1),(46,1),(69,1),(73,1),(74,1)}
        62:{3,6,7}:{(47,1),(49,1),(75,1),(76,1)}
        63:{1,5,7}:{(47,1),(50,1),(76,1),(104,1)}
        64:{2,6}:{(48,1),(49,1)}
        65:{3,5,6}:{(49,1),(50,1),(52,1),(76,1),(77,1),(78,1),(96,1)}
        66:{2,5}:{(51,1),(52,1)}
        67:{4,5}:{(52,1),(56,1),(78,1)}
        68:{1,2,5}:{(53,1),(54,1),(55,1),(80,1),(85,1),(97,1)}
        69:{1,4}:{(54,1),(56,1),(81,1)}
        70:{2,4}:{(55,1),(56,1),(82,1)}
        71:{1,5,7}:{(57,1),(58,1),(59,1),(83,1)}
        72:{4,7}:{(58,1),(60,1)}
        73:{1,4,6}:{(59,1),(60,1),(61,1),(83,1),(84,1)}
        74:{3,5}:{(61,1),(81,1),(84,1),(85,1)}
        75:{2,6,7}:{(62,1),(64,1),(86,1)}
        76:{3,5,7}:{(62,1),(63,1),(65,1),(86,1),(87,1),(101,1)}
        77:{2,5,6}:{(64,1),(65,1),(66,1),(86,1),(88,1)}
        78:{4,6}:{(65,1),(67,1),(87,1)}
        79:{2,4,5}:{(66,1),(67,1),(70,1),(88,1),(89,1)}
        80:{1,2,4}:{(68,1),(69,1),(70,1),(90,1),(91,1),(92,1),(103,1)}
        81:{3,4}:{(69,1),(74,1),(90,1),(91,1)}
        82:{3,4}:{(70,1),(89,1),(90,1),(92,1)}
        83:{1,4,7}:{(71,1),(72,1),(73,1),(93,1)}
        84:{3,6}:{(73,1),(74,1),(93,1),(94,1)}
        85:{2,5}:{(74,1),(91,1),(94,1)}
        86:{2,5,7}:{(75,1),(76,1),(77,1),(95,1)}
        87:{4,7}:{(76,1),(78,1)}
        88:{2,4,6}:{(77,1),(78,1),(79,1),(95,1),(96,1)}
        89:{3,5}:{(79,1),(82,1),(96,1),(97,1)}
        90:{3}:{(80,1)}
        91:{2,4}:{(81,1),(85,1),(99,1)}
        92:{1,4}:{(82,1),(97,1),(98,1)}
        93:{3,7}:{(83,1),(84,1),(100,1)}
        94:{2,6}:{(84,1),(85,1),(100,1)}
        95:{2,4,7}:{(86,1),(87,1),(88,1),(101,1)}
        96:{3,6}:{(88,1),(89,1),(101,1),(102,1)}
        97:{1,5}:{(89,1),(92,1),(102,1)}
        98:{1,3}:{(90,1),(92,1),(103,1)}
        99:{2,3}:{(90,1),(91,1),(103,1)}
       100:{2,7}:{(93,1),(94,1)}
       101:{3,7}:{(95,1),(96,1),(104,1)}
       102:{1,6}:{(96,1),(97,1),(104,1)}
       103:{1,2}:{(98,1),(99,1)}
       104:{1,7}:{(101,1),(102,1)}

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

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

 167 :  0:{5,6}:{(4,1),(5,1),(45,1),(54,1)}
        1:{4,5}:{(4,1),(6,1),(35,1),(45,1)}
        2:{3,4}:{(6,1),(7,1),(8,1),(23,1),(35,1)}
        3:{2,3}:{(8,1),(9,1),(23,1)}
        4:{4,6}:{(0,1),(1,1),(11,1),(12,1)}
        5:{5,7}:{(0,1),(12,1),(13,1)}
        6:{3,5}:{(1,1),(2,1),(11,1),(14,1),(15,1)}
        7:{1,4}:{(2,1),(10,1),(14,1)}
        8:{2,4}:{(2,1),(3,1),(15,1)}
        9:{1,2}:{(3,1),(17,1)}
       10:{1,3}:{(7,1),(18,1),(23,1)}
       11:{3,6}:{(4,1),(6,1),(19,1),(20,1),(21,1)}
       12:{4,7}:{(4,1),(5,1),(21,1)}
       13:{6,7}:{(5,1),(54,1)}
       14:{1,5}:{(6,1),(7,1),(19,1)}
       15:{2,5}:{(6,1),(8,1),(20,1)}
       16:{1,2,4}:{(7,1),(8,1),(9,1),(18,1),(22,1),(23,1),(24,1),(32,1),(35,1)}
       17:{1,3}:{(9,1),(23,1),(24,1)}
       18:{1,2}:{(10,1),(25,1)}
       19:{1,6}:{(11,1),(14,1),(27,1)}
       20:{2,6}:{(11,1),(15,1),(28,1)}
       21:{3,7}:{(11,1),(12,1),(27,1),(28,1)}
       22:{1,2,5}:{(14,1),(15,1),(16,1),(26,1),(29,1),(31,1),(38,1)}
       23:{3}:{(16,1)}
       24:{1,4}:{(17,1),(30,1),(31,1)}
       25:{2,3}:{(18,1),(23,1),(32,1)}
       26:{1,2,6}:{(19,1),(20,1),(22,1),(33,1),(34,1),(37,1),(44,1)}
       27:{1,7}:{(19,1),(21,1)}
       28:{2,7}:{(20,1),(21,1)}
       29:{3,5}:{(22,1),(23,1),(33,1),(35,1),(45,1)}
       30:{3,4}:{(23,1),(24,1),(32,1),(35,1),(36,1)}
       31:{1,5}:{(24,1),(36,1),(37,1)}
       32:{2,4}:{(25,1),(30,1),(38,1)}
       33:{3,6}:{(26,1),(29,1),(39,1),(40,1)}
       34:{1,2,7}:{(26,1),(27,1),(28,1),(40,1),(43,1),(49,1)}
       35:{4}:{(29,1)}
       36:{3,5}:{(30,1),(31,1),(38,1),(41,1),(42,1)}
       37:{1,6}:{(31,1),(42,1),(43,1)}
       38:{2,5}:{(32,1),(36,1),(44,1)}
       39:{4,6}:{(33,1),(35,1),(45,1),(46,1),(54,1)}
       40:{3,7}:{(33,1),(34,1),(46,1)}
       41:{4,5}:{(35,1),(36,1),(45,1),(47,1)}
       42:{3,6}:{(36,1),(37,1),(44,1),(47,1),(48,1)}
       43:{1,7}:{(37,1),(48,1)}
       44:{2,6}:{(38,1),(42,1),(49,1)}
       45:{5}:{(39,1)}
       46:{4,7}:{(39,1),(40,1),(51,1)}
       47:{4,6}:{(41,1),(42,1),(50,1),(52,1)}
       48:{3,7}:{(42,1),(43,1),(49,1),(52,1)}
       49:{2,7}:{(44,1),(48,1)}
       50:{5,6}:{(45,1),(47,1),(53,1),(54,1)}
       51:{5,7}:{(45,1),(46,1),(54,1)}
       52:{4,7}:{(47,1),(48,1),(53,1)}
       53:{5,7}:{(50,1),(52,1),(55,1)}
       54:{6}:{(51,1)}
       55:{6,7}:{(53,1),(54,1)}

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

 169 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(14,1),(18,1),(44,1)}
         1:{1,2,5,7}:{(0,1),(5,1),(6,1),(7,1),(19,1),(29,1),(51,1)}
         2:{2,4,7}:{(0,1),(8,1),(9,1),(60,1),(95,1)}
         3:{2,3,6}:{(0,1),(7,1),(9,1),(20,1),(28,1),(100,1)}
         4:{2,4,5,7}:{(2,1),(10,1),(11,1),(18,1),(35,1),(46,1),(64,1)}
         5:{1,3,5,7}:{(1,1),(12,1),(13,1),(14,1),(36,1),(40,1),(44,1)}
         6:{1,2,4,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(16,1),(38,1),(41,1)}
         7:{1,2,6}:{(1,1),(3,1),(13,1),(32,1),(65,1),(103,1)}
         8:{3,4,7}:{(2,1),(10,1),(14,1),(16,1),(17,1),(64,1),(86,1)}
         9:{2,4,6}:{(2,1),(3,1),(17,1),(18,1),(87,1),(93,1)}
        10:{3,5,7}:{(4,1),(8,1),(19,1),(20,1),(31,1)}
        11:{2,4,6}:{(4,1),(20,1),(22,1),(50,1)}
        12:{1,4,7}:{(5,1),(24,1),(25,1),(60,1),(104,1)}
        13:{1,3,6}:{(5,1),(7,1),(25,1),(28,1),(52,1),(99,1)}
        14:{3,7}:{(6,1),(28,1)}
        15:{1,2,4,6}:{(6,1),(7,1),(9,1),(25,1),(28,1),(29,1),(30,1),(55,1),(57,1),(60,1),(82,1)}
        16:{1,4,7}:{(8,1),(19,1),(26,1),(30,1)}
        17:{3,4,6}:{(8,1),(9,1),(20,1),(28,1),(30,1),(31,1),(50,1),(60,1),(76,1),(83,1)}
        18:{2,5}:{(9,1),(31,1)}
        19:{1,5,7}:{(10,1),(16,1),(32,1),(45,1)}
        20:{3,6}:{(10,1),(11,1),(32,1)}
        21:{2,4,6,7}:{(11,1),(33,1),(35,1),(64,1)}
        22:{2,5,6}:{(11,1),(18,1),(34,1),(35,1),(87,1)}
        23:{1,4,5,7}:{(12,1),(36,1),(37,1),(40,1),(68,1),(70,1),(90,1)}
        24:{3,4,7}:{(12,1),(14,1),(36,1),(38,1),(39,1),(90,1),(101,1)}
        25:{1,4,6}:{(12,1),(13,1),(39,1),(40,1),(94,1),(102,1)}
        26:{1,3,7}:{(14,1),(16,1),(41,1),(42,1),(86,1)}
        27:{2,3,7}:{(14,1),(38,1),(41,1),(43,1),(101,1)}
        28:{3,6}:{(14,1),(15,1),(44,1),(92,1)}
        29:{1,2,5}:{(15,1),(18,1),(40,1),(44,1),(45,1),(69,1)}
        30:{1,4,6}:{(16,1),(17,1),(32,1),(42,1),(45,1),(72,1)}
        31:{3,5}:{(17,1),(18,1),(45,1),(46,1)}
        32:{1,6}:{(19,1),(20,1)}
        33:{3,6,7}:{(20,1),(21,1),(47,1),(49,1)}
        34:{3,5,6}:{(20,1),(22,1),(31,1),(48,1),(49,1),(50,1),(76,1)}
        35:{2,5,7}:{(21,1),(22,1),(49,1),(95,1)}
        36:{3,5,7}:{(23,1),(24,1),(51,1),(52,1),(56,1)}
        37:{1,4,6}:{(23,1),(52,1),(54,1),(80,1)}
        38:{2,4,7}:{(24,1),(27,1),(51,1),(55,1)}
        39:{3,4,6}:{(24,1),(25,1),(28,1),(52,1),(55,1),(56,1),(60,1),(80,1),(84,1),(97,1)}
        40:{1,5}:{(25,1),(56,1)}
        41:{1,2,7}:{(26,1),(27,1),(57,1),(95,1),(104,1)}
        42:{1,3,6}:{(26,1),(28,1),(30,1),(57,1),(58,1),(76,1)}
        43:{2,3,6}:{(27,1),(28,1),(55,1),(57,1),(59,1),(97,1)}
        44:{3,5}:{(28,1),(29,1),(60,1)}
        45:{1,5}:{(30,1),(31,1)}
        46:{4,5}:{(31,1),(50,1),(60,1)}
        47:{1,6,7}:{(32,1),(33,1),(62,1)}
        48:{1,5,6}:{(32,1),(34,1),(45,1),(62,1),(63,1)}
        49:{3,5,7}:{(33,1),(34,1),(35,1),(62,1),(64,1),(86,1)}
        50:{4,6}:{(34,1),(46,1),(64,1)}
        51:{2,5,7}:{(36,1),(38,1),(65,1),(69,1)}
        52:{3,6}:{(36,1),(37,1),(65,1)}
        53:{1,4,6,7}:{(37,1),(66,1),(68,1),(90,1)}
        54:{1,5,6}:{(37,1),(40,1),(67,1),(68,1),(102,1)}
        55:{2,4,6}:{(38,1),(39,1),(43,1),(65,1),(69,1),(73,1)}
        56:{3,5}:{(39,1),(40,1),(69,1),(70,1)}
        57:{1,2,6}:{(41,1),(42,1),(43,1),(71,1),(87,1),(102,1)}
        58:{1,3,5}:{(42,1),(44,1),(45,1),(71,1),(72,1),(74,1),(92,1)}
        59:{2,3,5}:{(43,1),(44,1),(69,1),(71,1),(73,1),(91,1),(92,1)}
        60:{4}:{(44,1)}
        61:{1,4,5}:{(45,1),(46,1),(63,1),(72,1),(74,1)}
        62:{1,5,7}:{(47,1),(48,1),(49,1),(75,1)}
        63:{1,4,6}:{(48,1),(50,1),(61,1),(75,1),(76,1)}
        64:{4,7}:{(49,1),(50,1)}
        65:{2,6}:{(51,1),(52,1)}
        66:{3,6,7}:{(52,1),(53,1),(77,1),(79,1)}
        67:{3,5,6}:{(52,1),(54,1),(56,1),(78,1),(79,1),(80,1),(97,1)}
        68:{1,5,7}:{(53,1),(54,1),(79,1),(104,1)}
        69:{2,5}:{(55,1),(56,1)}
        70:{4,5}:{(56,1),(60,1),(80,1)}
        71:{1,2,5}:{(57,1),(58,1),(59,1),(82,1),(85,1),(98,1)}
        72:{1,4}:{(58,1),(60,1),(83,1)}
        73:{2,4}:{(59,1),(60,1),(84,1)}
        74:{3,5}:{(61,1),(76,1),(83,1),(85,1)}
        75:{1,4,7}:{(62,1),(63,1),(64,1),(86,1)}
        76:{3,6}:{(63,1),(74,1),(86,1),(87,1)}
        77:{2,6,7}:{(65,1),(66,1),(88,1)}
        78:{2,5,6}:{(65,1),(67,1),(69,1),(88,1),(89,1)}
        79:{3,5,7}:{(66,1),(67,1),(68,1),(88,1),(90,1),(101,1)}
        80:{4,6}:{(67,1),(70,1),(90,1)}
        81:{2,4,5}:{(69,1),(70,1),(73,1),(89,1),(91,1)}
        82:{1,2,4}:{(71,1),(72,1),(73,1),(92,1),(93,1),(94,1),(103,1)}
        83:{3,4}:{(72,1),(74,1),(92,1),(93,1)}
        84:{3,4}:{(73,1),(91,1),(92,1),(94,1)}
        85:{2,5}:{(74,1),(87,1),(93,1)}
        86:{3,7}:{(75,1),(76,1),(95,1)}
        87:{2,6}:{(76,1),(85,1),(95,1)}
        88:{2,5,7}:{(77,1),(78,1),(79,1),(96,1)}
        89:{2,4,6}:{(78,1),(80,1),(81,1),(96,1),(97,1)}
        90:{4,7}:{(79,1),(80,1)}
        91:{3,5}:{(81,1),(84,1),(97,1),(98,1)}
        92:{3}:{(82,1)}
        93:{2,4}:{(83,1),(85,1),(100,1)}
        94:{1,4}:{(84,1),(98,1),(99,1)}
        95:{2,7}:{(86,1),(87,1)}
        96:{2,4,7}:{(88,1),(89,1),(90,1),(101,1)}
        97:{3,6}:{(89,1),(91,1),(101,1),(102,1)}
        98:{1,5}:{(91,1),(94,1),(102,1)}
        99:{1,3}:{(92,1),(94,1),(103,1)}
       100:{2,3}:{(92,1),(93,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{1,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{1,7}:{(101,1),(102,1)}

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

 171 :   0:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(34,1),(35,1),(37,1)}
         1:{3,5,7}:{(0,1),(3,1),(5,1),(7,1),(22,1)}
         2:{2,4,6}:{(0,1),(7,1),(8,1),(28,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(11,1),(31,1),(37,1),(60,1)}
         4:{2,4,6,7}:{(2,1),(12,1),(13,1),(37,1)}
         5:{1,5,7}:{(1,1),(9,1),(15,1),(33,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(14,1),(16,1),(31,1),(34,1),(58,1)}
         7:{3,6}:{(1,1),(2,1),(15,1)}
         8:{2,5,6}:{(2,1),(13,1),(17,1),(34,1),(63,1)}
         9:{1,4,7}:{(3,1),(5,1),(18,1),(20,1)}
        10:{2,4,7}:{(3,1),(6,1),(21,1),(71,1),(73,1)}
        11:{3,4,6}:{(3,1),(7,1),(20,1),(21,1),(22,1),(28,1),(45,1),(51,1),(68,1),(71,1)}
        12:{3,6,7}:{(4,1),(7,1),(23,1),(24,1)}
        13:{2,5,7}:{(4,1),(8,1),(24,1),(73,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(19,1),(25,1),(26,1),(46,1),(64,1)}
        15:{1,6}:{(5,1),(7,1)}
        16:{2,3,6}:{(6,1),(7,1),(21,1),(26,1),(45,1),(90,1)}
        17:{3,5,6}:{(7,1),(8,1),(22,1),(24,1),(27,1),(28,1),(51,1)}
        18:{1,3,7}:{(9,1),(29,1),(30,1),(31,1),(60,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(14,1),(29,1),(31,1),(32,1),(38,1),(52,1)}
        20:{1,4,6}:{(9,1),(11,1),(15,1),(30,1),(33,1),(55,1)}
        21:{2,4,6}:{(10,1),(11,1),(16,1),(34,1),(63,1),(80,1)}
        22:{3,5}:{(11,1),(33,1),(34,1),(35,1)}
        23:{1,6,7}:{(12,1),(15,1),(36,1)}
        24:{3,5,7}:{(12,1),(13,1),(17,1),(36,1),(37,1),(60,1)}
        25:{1,3,5,7}:{(14,1),(31,1),(38,1),(39,1),(56,1),(58,1),(62,1)}
        26:{1,2,6}:{(14,1),(15,1),(16,1),(39,1),(76,1),(97,1)}
        27:{1,5,6}:{(15,1),(17,1),(33,1),(36,1),(40,1)}
        28:{4,6}:{(17,1),(35,1),(37,1)}
        29:{1,2,7}:{(18,1),(41,1),(42,1),(73,1),(104,1)}
        30:{1,3,6}:{(18,1),(20,1),(42,1),(43,1),(45,1),(51,1)}
        31:{3,7}:{(19,1),(45,1)}
        32:{1,2,4,6}:{(19,1),(20,1),(21,1),(26,1),(42,1),(45,1),(46,1),(50,1),(65,1),(67,1),(71,1)}
        33:{1,5}:{(20,1),(22,1)}
        34:{2,5}:{(21,1),(22,1)}
        35:{4,5}:{(22,1),(28,1),(71,1)}
        36:{1,5,7}:{(23,1),(24,1),(27,1),(48,1)}
        37:{4,7}:{(24,1),(28,1)}
        38:{1,4,7}:{(25,1),(44,1),(50,1),(71,1),(104,1)}
        39:{1,3,6}:{(25,1),(26,1),(45,1),(50,1),(69,1),(89,1)}
        40:{1,4,6}:{(27,1),(28,1),(47,1),(48,1),(51,1)}
        41:{2,3,7}:{(29,1),(31,1),(52,1),(53,1),(102,1)}
        42:{1,2,6}:{(29,1),(30,1),(53,1),(54,1),(63,1),(103,1)}
        43:{1,3,5}:{(30,1),(33,1),(54,1),(55,1),(58,1),(59,1),(79,1)}
        44:{3,4,7}:{(31,1),(38,1),(52,1),(56,1),(57,1),(98,1),(102,1)}
        45:{3,6}:{(31,1),(32,1),(58,1),(79,1)}
        46:{1,2,5}:{(32,1),(33,1),(34,1),(58,1),(62,1),(77,1)}
        47:{1,4,5}:{(33,1),(35,1),(40,1),(55,1),(59,1)}
        48:{1,4,7}:{(36,1),(37,1),(40,1),(60,1)}
        49:{1,4,5,7}:{(38,1),(56,1),(61,1),(62,1),(83,1),(84,1),(98,1)}
        50:{1,4,6}:{(38,1),(39,1),(57,1),(62,1),(96,1),(103,1)}
        51:{3,6}:{(40,1),(59,1),(60,1),(63,1)}
        52:{2,4,7}:{(41,1),(44,1),(64,1),(65,1)}
        53:{2,3,6}:{(41,1),(42,1),(45,1),(65,1),(66,1),(100,1)}
        54:{1,2,5}:{(42,1),(43,1),(66,1),(67,1),(72,1),(101,1)}
        55:{1,4}:{(43,1),(68,1),(71,1)}
        56:{3,5,7}:{(44,1),(49,1),(64,1),(69,1),(70,1)}
        57:{3,4,6}:{(44,1),(45,1),(50,1),(65,1),(69,1),(70,1),(71,1),(88,1),(92,1),(100,1)}
        58:{3,5}:{(45,1),(46,1),(71,1)}
        59:{3,5}:{(47,1),(51,1),(68,1),(72,1)}
        60:{3,7}:{(48,1),(51,1),(73,1)}
        61:{1,4,6}:{(49,1),(69,1),(75,1),(92,1)}
        62:{1,5}:{(50,1),(70,1)}
        63:{2,6}:{(51,1),(72,1),(73,1)}
        64:{2,5,7}:{(52,1),(56,1),(76,1),(77,1)}
        65:{2,4,6}:{(52,1),(53,1),(57,1),(76,1),(77,1),(78,1)}
        66:{2,3,5}:{(53,1),(54,1),(58,1),(77,1),(78,1),(79,1),(95,1)}
        67:{1,2,4}:{(54,1),(55,1),(78,1),(79,1),(80,1),(96,1),(97,1)}
        68:{3,4}:{(55,1),(59,1),(79,1),(80,1)}
        69:{3,6}:{(56,1),(61,1),(76,1)}
        70:{3,5}:{(57,1),(62,1),(77,1),(83,1)}
        71:{4}:{(58,1)}
        72:{2,5}:{(59,1),(63,1),(80,1)}
        73:{2,7}:{(60,1),(63,1)}
        74:{1,4,6,7}:{(61,1),(81,1),(84,1),(98,1)}
        75:{1,5,6}:{(61,1),(62,1),(82,1),(84,1),(103,1)}
        76:{2,6}:{(64,1),(69,1)}
        77:{2,5}:{(65,1),(70,1)}
        78:{2,4}:{(66,1),(71,1),(88,1)}
        79:{3}:{(67,1)}
        80:{2,4}:{(68,1),(72,1),(90,1)}
        81:{3,6,7}:{(69,1),(74,1),(85,1),(91,1)}
        82:{3,5,6}:{(69,1),(70,1),(75,1),(86,1),(91,1),(92,1),(100,1)}
        83:{4,5}:{(70,1),(71,1),(92,1)}
        84:{1,5,7}:{(74,1),(75,1),(91,1),(104,1)}
        85:{2,6,7}:{(76,1),(81,1),(93,1)}
        86:{2,5,6}:{(76,1),(77,1),(82,1),(93,1),(94,1)}
        87:{2,4,5}:{(77,1),(78,1),(83,1),(94,1),(95,1)}
        88:{3,4}:{(78,1),(79,1),(95,1),(96,1)}
        89:{1,3}:{(79,1),(96,1),(97,1)}
        90:{2,3}:{(79,1),(80,1),(97,1)}
        91:{3,5,7}:{(81,1),(82,1),(84,1),(93,1),(98,1),(102,1)}
        92:{4,6}:{(82,1),(83,1),(98,1)}
        93:{2,5,7}:{(85,1),(86,1),(91,1),(99,1)}
        94:{2,4,6}:{(86,1),(87,1),(92,1),(99,1),(100,1)}
        95:{3,5}:{(87,1),(88,1),(100,1),(101,1)}
        96:{1,4}:{(88,1),(89,1),(101,1)}
        97:{1,2}:{(89,1),(90,1)}
        98:{4,7}:{(91,1),(92,1)}
        99:{2,4,7}:{(93,1),(94,1),(98,1),(102,1)}
       100:{3,6}:{(94,1),(95,1),(102,1),(103,1)}
       101:{1,5}:{(95,1),(96,1),(103,1)}
       102:{3,7}:{(99,1),(100,1),(104,1)}
       103:{1,6}:{(100,1),(101,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 172 :   0:{2,4,6,7}:{(1,1),(2,1),(9,1),(10,1)}
         1:{3,6,7}:{(0,1),(3,1),(4,1),(16,1)}
         2:{2,5,7}:{(0,1),(4,1),(5,1),(31,1)}
         3:{1,6,7}:{(1,1),(7,1),(25,1)}
         4:{3,5,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(20,1)}
         5:{2,5,6}:{(2,1),(8,1),(10,1),(40,1),(43,1)}
         6:{2,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(21,1),(24,1),(43,1)}
         7:{1,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{3,5,6}:{(4,1),(5,1),(12,1),(14,1),(16,1),(29,1),(32,1)}
         9:{4,7}:{(4,1),(14,1)}
        10:{2,4,6}:{(5,1),(6,1),(14,1),(16,1)}
        11:{3,5,7}:{(6,1),(15,1),(16,1),(17,1),(32,1)}
        12:{1,5,6}:{(7,1),(8,1),(19,1),(25,1),(42,1)}
        13:{1,4,7}:{(7,1),(9,1),(19,1),(20,1)}
        14:{4,6}:{(8,1),(9,1),(21,1)}
        15:{3,4,7}:{(9,1),(11,1),(20,1),(22,1),(23,1),(24,1),(45,1)}
        16:{3,6}:{(10,1),(11,1),(25,1)}
        17:{1,5,7}:{(11,1),(23,1),(25,1),(42,1)}
        18:{2,3,5,7}:{(11,1),(24,1),(26,1),(27,1),(43,1),(45,1),(63,1)}
        19:{1,4,6}:{(12,1),(13,1),(14,1),(28,1),(29,1)}
        20:{3,7}:{(13,1),(29,1),(31,1)}
        21:{4,5}:{(14,1),(32,1),(73,1)}
        22:{3,4,6}:{(14,1),(15,1),(16,1),(29,1),(32,1),(33,1),(34,1),(48,1),(54,1),(73,1)}
        23:{1,4,7}:{(15,1),(17,1),(30,1),(33,1)}
        24:{2,4,7}:{(15,1),(18,1),(31,1),(34,1),(73,1)}
        25:{1,6}:{(16,1),(17,1)}
        26:{2,3,6}:{(16,1),(18,1),(34,1),(36,1),(54,1),(68,1)}
        27:{1,2,5,7}:{(17,1),(18,1),(35,1),(36,1),(37,1),(53,1),(72,1)}
        28:{1,4,5}:{(19,1),(21,1),(38,1),(42,1),(58,1)}
        29:{3,6}:{(19,1),(20,1),(38,1),(40,1)}
        30:{1,3,7}:{(20,1),(23,1),(39,1),(41,1),(45,1)}
        31:{2,7}:{(20,1),(40,1)}
        32:{3,5}:{(21,1),(22,1),(42,1),(43,1)}
        33:{1,4,6}:{(22,1),(23,1),(25,1),(39,1),(42,1),(58,1)}
        34:{2,4,6}:{(22,1),(24,1),(26,1),(40,1),(43,1),(59,1)}
        35:{1,2,4,7}:{(23,1),(24,1),(27,1),(41,1),(44,1),(45,1),(47,1),(62,1)}
        36:{1,2,6}:{(25,1),(26,1),(27,1),(46,1),(78,1),(82,1)}
        37:{1,3,5,7}:{(27,1),(45,1),(46,1),(47,1),(63,1),(65,1),(66,1)}
        38:{3,5}:{(28,1),(29,1),(48,1),(50,1)}
        39:{1,3,6}:{(29,1),(30,1),(33,1),(49,1),(51,1),(54,1)}
        40:{2,6}:{(29,1),(31,1),(50,1)}
        41:{1,2,7}:{(30,1),(31,1),(51,1),(52,1),(104,1)}
        42:{1,5}:{(32,1),(33,1)}
        43:{2,5}:{(32,1),(34,1)}
        44:{1,2,4,6}:{(33,1),(34,1),(35,1),(36,1),(51,1),(53,1),(54,1),(56,1),(69,1),(71,1),(73,1)}
        45:{3,7}:{(35,1),(54,1)}
        46:{1,3,6}:{(36,1),(37,1),(54,1),(56,1),(75,1),(87,1)}
        47:{1,4,7}:{(37,1),(55,1),(56,1),(73,1),(104,1)}
        48:{3,4}:{(38,1),(58,1),(59,1),(79,1)}
        49:{1,3,5}:{(38,1),(39,1),(42,1),(58,1),(60,1),(63,1),(79,1)}
        50:{2,5}:{(38,1),(40,1),(59,1)}
        51:{1,2,6}:{(39,1),(40,1),(41,1),(60,1),(61,1),(102,1)}
        52:{2,3,7}:{(41,1),(45,1),(61,1),(62,1),(103,1)}
        53:{1,2,5}:{(42,1),(43,1),(44,1),(63,1),(66,1),(81,1)}
        54:{3,6}:{(44,1),(45,1),(63,1),(79,1)}
        55:{3,4,7}:{(45,1),(47,1),(62,1),(64,1),(65,1),(98,1),(103,1)}
        56:{1,4,6}:{(46,1),(47,1),(64,1),(66,1),(94,1),(102,1)}
        57:{1,4,5,7}:{(47,1),(65,1),(66,1),(67,1),(83,1),(86,1),(98,1)}
        58:{1,4}:{(48,1),(49,1),(73,1)}
        59:{2,4}:{(48,1),(50,1),(68,1)}
        60:{1,2,5}:{(49,1),(50,1),(51,1),(69,1),(70,1),(99,1)}
        61:{2,3,6}:{(51,1),(52,1),(54,1),(70,1),(71,1),(100,1)}
        62:{2,4,7}:{(52,1),(55,1),(71,1),(72,1)}
        63:{3,5}:{(53,1),(54,1),(73,1)}
        64:{3,4,6}:{(54,1),(55,1),(56,1),(71,1),(73,1),(74,1),(75,1),(88,1),(92,1),(100,1)}
        65:{3,5,7}:{(55,1),(57,1),(72,1),(74,1),(75,1)}
        66:{1,5}:{(56,1),(74,1)}
        67:{1,4,6}:{(57,1),(75,1),(76,1),(92,1)}
        68:{2,3}:{(59,1),(78,1),(79,1)}
        69:{1,2,4}:{(58,1),(59,1),(60,1),(78,1),(79,1),(80,1),(94,1)}
        70:{2,3,5}:{(60,1),(61,1),(63,1),(79,1),(80,1),(81,1),(95,1)}
        71:{2,4,6}:{(61,1),(62,1),(64,1),(80,1),(81,1),(82,1)}
        72:{2,5,7}:{(62,1),(65,1),(81,1),(82,1)}
        73:{4}:{(63,1)}
        74:{3,5}:{(64,1),(66,1),(81,1),(83,1)}
        75:{3,6}:{(65,1),(67,1),(82,1)}
        76:{1,5,6}:{(66,1),(67,1),(84,1),(86,1),(102,1)}
        77:{1,4,6,7}:{(67,1),(85,1),(86,1),(98,1)}
        78:{1,2}:{(68,1),(87,1)}
        79:{3}:{(69,1)}
        80:{2,4}:{(70,1),(73,1),(88,1)}
        81:{2,5}:{(71,1),(74,1)}
        82:{2,6}:{(72,1),(75,1)}
        83:{4,5}:{(73,1),(74,1),(92,1)}
        84:{3,5,6}:{(74,1),(75,1),(76,1),(90,1),(92,1),(93,1),(100,1)}
        85:{3,6,7}:{(75,1),(77,1),(91,1),(93,1)}
        86:{1,5,7}:{(76,1),(77,1),(93,1),(104,1)}
        87:{1,3}:{(78,1),(79,1),(94,1)}
        88:{3,4}:{(79,1),(80,1),(94,1),(95,1)}
        89:{2,4,5}:{(80,1),(81,1),(83,1),(95,1),(96,1)}
        90:{2,5,6}:{(81,1),(82,1),(84,1),(96,1),(97,1)}
        91:{2,6,7}:{(82,1),(85,1),(97,1)}
        92:{4,6}:{(83,1),(84,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(86,1),(97,1),(98,1),(103,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{3,5}:{(88,1),(89,1),(99,1),(100,1)}
        96:{2,4,6}:{(89,1),(90,1),(92,1),(100,1),(101,1)}
        97:{2,5,7}:{(90,1),(91,1),(93,1),(101,1)}
        98:{4,7}:{(92,1),(93,1)}
        99:{1,5}:{(94,1),(95,1),(102,1)}
       100:{3,6}:{(95,1),(96,1),(102,1),(103,1)}
       101:{2,4,7}:{(96,1),(97,1),(98,1),(103,1)}
       102:{1,6}:{(99,1),(100,1),(104,1)}
       103:{3,7}:{(100,1),(101,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 173 :  0:{1,2,4,5}:{(1,1),(2,1),(9,1),(10,1),(12,1),(31,1),(33,1),(35,1)}
        1:{3,5}:{(0,1),(3,1),(6,1)}
        2:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(19,1),(20,1),(23,1),(26,1)}
        3:{3,4}:{(1,1),(9,1),(10,1),(29,1)}
        4:{1,3,5}:{(1,1),(9,1),(12,1),(13,1),(29,1),(31,1),(48,1)}
        5:{2,3,5}:{(1,1),(10,1),(12,1),(14,1),(29,1),(33,1),(48,1)}
        6:{3,6}:{(1,1),(2,1),(16,1)}
        7:{1,2,5,6}:{(2,1),(15,1),(17,1),(31,1),(33,1),(51,1),(52,1)}
        8:{1,2,4,7}:{(2,1),(16,1),(17,1),(32,1),(34,1),(37,1),(38,1)}
        9:{1,4}:{(3,1),(4,1),(55,1)}
       10:{2,4}:{(3,1),(5,1),(55,1)}
       11:{3,4,6}:{(3,1),(6,1),(19,1),(20,1),(21,1),(22,1),(26,1),(40,1),(46,1),(55,1),(61,1)}
       12:{1,2,5}:{(4,1),(5,1),(18,1),(23,1)}
       13:{1,3,6}:{(4,1),(6,1),(19,1),(23,1),(24,1),(40,1)}
       14:{2,3,6}:{(5,1),(6,1),(20,1),(23,1),(25,1),(40,1)}
       15:{3,5,6}:{(6,1),(7,1),(21,1),(26,1),(27,1),(46,1),(58,1)}
       16:{3,7}:{(6,1),(8,1)}
       17:{1,2,5,7}:{(7,1),(8,1),(27,1),(28,1),(43,1),(44,1)}
       18:{1,2,4}:{(9,1),(10,1),(12,1),(29,1)}
       19:{1,4,6}:{(9,1),(11,1),(13,1),(31,1),(32,1),(51,1)}
       20:{2,4,6}:{(10,1),(11,1),(14,1),(33,1),(34,1),(52,1)}
       21:{3,5}:{(11,1),(31,1),(33,1),(35,1),(62,1)}
       22:{3,4,7}:{(11,1),(16,1),(32,1),(34,1),(36,1),(38,1),(49,1),(59,1)}
       23:{1,2,6}:{(12,1),(13,1),(14,1),(37,1)}
       24:{1,3,7}:{(13,1),(16,1),(32,1),(37,1),(49,1)}
       25:{2,3,7}:{(14,1),(16,1),(34,1),(37,1),(49,1)}
       26:{4,6}:{(15,1),(35,1),(38,1)}
       27:{3,5,7}:{(15,1),(16,1),(17,1),(38,1),(39,1),(54,1)}
       28:{1,2,6,7}:{(17,1),(39,1),(51,1),(52,1)}
       29:{3}:{(18,1)}
       30:{1,2,4,6}:{(18,1),(19,1),(20,1),(23,1),(40,1),(41,1),(42,1),(55,1),(57,1),(61,1)}
       31:{1,5}:{(19,1),(21,1)}
       32:{1,4,7}:{(19,1),(22,1),(24,1),(43,1)}
       33:{2,5}:{(20,1),(21,1)}
       34:{2,4,7}:{(20,1),(22,1),(25,1),(44,1)}
       35:{4,5}:{(21,1),(26,1),(55,1)}
       36:{3,5,7}:{(21,1),(22,1),(43,1),(44,1),(45,1),(46,1)}
       37:{1,2,7}:{(23,1),(24,1),(25,1)}
       38:{4,7}:{(26,1),(27,1)}
       39:{3,6,7}:{(27,1),(28,1),(46,1),(47,1)}
       40:{3,6}:{(29,1),(30,1),(48,1),(49,1)}
       41:{1,2,5}:{(30,1),(31,1),(33,1),(48,1),(62,1)}
       42:{1,2,4,7}:{(30,1),(32,1),(34,1),(37,1),(49,1),(50,1),(59,1)}
       43:{1,5,7}:{(31,1),(32,1),(36,1),(51,1)}
       44:{2,5,7}:{(33,1),(34,1),(36,1),(52,1)}
       45:{4,5,7}:{(35,1),(36,1),(38,1),(53,1),(54,1),(59,1),(62,1)}
       46:{3,6}:{(36,1),(51,1),(52,1),(53,1)}
       47:{4,6,7}:{(38,1),(39,1),(53,1),(54,1)}
       48:{3,5}:{(40,1),(41,1),(55,1)}
       49:{3,7}:{(40,1),(42,1)}
       50:{1,2,5,7}:{(41,1),(42,1),(43,1),(44,1),(56,1),(57,1)}
       51:{1,6}:{(43,1),(46,1)}
       52:{2,6}:{(44,1),(46,1)}
       53:{4,6}:{(45,1),(46,1),(58,1)}
       54:{5,7}:{(47,1),(58,1)}
       55:{4}:{(48,1)}
       56:{3,5,7}:{(48,1),(49,1),(50,1),(59,1),(60,1),(62,1)}
       57:{1,2,6}:{(50,1),(51,1),(52,1),(60,1)}
       58:{5,6}:{(53,1),(54,1),(62,1)}
       59:{4,7}:{(55,1),(56,1),(61,1)}
       60:{3,6}:{(56,1),(57,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 174 :  0:{1,2,4,6}:{(1,1),(2,1),(3,1),(10,1),(11,1),(14,1),(19,1),(21,1),(49,1),(52,1)}
        1:{3,6}:{(0,1),(7,1),(8,1),(67,1)}
        2:{1,2,5}:{(0,1),(7,1),(24,1),(26,1),(70,1)}
        3:{1,2,4,7}:{(0,1),(8,1),(9,1),(25,1),(27,1),(31,1),(34,1)}
        4:{3,4,6}:{(1,1),(10,1),(11,1),(12,1),(13,1),(19,1),(38,1),(40,1),(48,1),(50,1),(51,1),(52,1),(71,1),(74,1),(78,1),(96,1)}
        5:{1,3,6}:{(1,1),(10,1),(14,1),(15,1),(16,1),(40,1),(71,1),(84,1)}
        6:{2,3,6}:{(1,1),(11,1),(14,1),(17,1),(18,1),(40,1),(74,1),(85,1)}
        7:{3,5}:{(1,1),(2,1),(19,1)}
        8:{3,7}:{(1,1),(3,1)}
        9:{1,2,5,7}:{(2,1),(3,1),(20,1),(21,1),(44,1),(46,1)}
       10:{1,4,6}:{(4,1),(5,1),(24,1),(25,1),(32,1),(63,1),(69,1),(88,1)}
       11:{2,4,6}:{(4,1),(6,1),(26,1),(27,1),(33,1),(65,1),(68,1),(86,1)}
       12:{3,5}:{(4,1),(24,1),(26,1),(28,1),(70,1),(97,1)}
       13:{3,4,7}:{(4,1),(8,1),(25,1),(27,1),(29,1),(34,1),(57,1),(60,1),(87,1),(89,1),(91,1)}
       14:{1,2,6}:{(5,1),(6,1),(30,1),(31,1),(86,1),(88,1),(93,1)}
       15:{1,3,5}:{(5,1),(7,1),(24,1),(30,1),(32,1),(59,1),(62,1),(67,1)}
       16:{1,3,7}:{(5,1),(8,1),(25,1),(31,1),(60,1),(87,1)}
       17:{2,3,5}:{(6,1),(7,1),(26,1),(30,1),(33,1),(59,1),(64,1),(67,1)}
       18:{2,3,7}:{(6,1),(8,1),(27,1),(31,1),(60,1),(89,1)}
       19:{4}:{(7,1)}
       20:{3,5,7}:{(7,1),(8,1),(9,1),(34,1),(35,1),(70,1)}
       21:{1,2,6}:{(9,1),(35,1),(63,1),(65,1)}
       22:{3,5,6}:{(12,1),(36,1),(37,1),(38,1),(39,1),(48,1),(71,1),(74,1),(83,1)}
       23:{1,2,4,6}:{(10,1),(11,1),(14,1),(40,1),(41,1),(42,1),(49,1),(78,1),(80,1),(96,1)}
       24:{1,5}:{(10,1),(12,1)}
       25:{1,4,7}:{(10,1),(13,1),(16,1),(44,1),(95,1)}
       26:{2,5}:{(11,1),(12,1)}
       27:{2,4,7}:{(11,1),(13,1),(18,1),(46,1),(94,1)}
       28:{4,5}:{(12,1),(19,1),(38,1),(78,1)}
       29:{3,5,7}:{(12,1),(13,1),(44,1),(46,1),(47,1),(48,1)}
       30:{1,2,5}:{(14,1),(15,1),(17,1),(49,1),(81,1),(82,1)}
       31:{1,2,7}:{(14,1),(16,1),(18,1),(94,1),(95,1)}
       32:{1,4}:{(15,1),(19,1),(50,1),(78,1)}
       33:{2,4}:{(17,1),(19,1),(51,1),(78,1)}
       34:{4,7}:{(19,1),(20,1),(52,1)}
       35:{3,6}:{(20,1),(21,1),(52,1)}
       36:{1,5,6}:{(22,1),(24,1),(53,1),(54,1),(63,1),(88,1)}
       37:{2,5,6}:{(22,1),(26,1),(55,1),(56,1),(65,1),(86,1)}
       38:{4,6}:{(22,1),(28,1),(57,1)}
       39:{3,5,7}:{(22,1),(54,1),(56,1),(57,1),(58,1),(87,1),(89,1),(90,1)}
       40:{3,6}:{(23,1),(59,1),(60,1),(67,1)}
       41:{1,2,5}:{(23,1),(24,1),(26,1),(59,1),(97,1)}
       42:{1,2,4,7}:{(23,1),(25,1),(27,1),(31,1),(60,1),(61,1),(91,1)}
       43:{1,4,5}:{(24,1),(28,1),(32,1),(53,1),(62,1)}
       44:{1,5,7}:{(24,1),(25,1),(29,1),(63,1)}
       45:{2,4,5}:{(26,1),(28,1),(33,1),(55,1),(64,1)}
       46:{2,5,7}:{(26,1),(27,1),(29,1),(65,1)}
       47:{4,5,7}:{(28,1),(29,1),(34,1),(57,1),(66,1),(70,1),(90,1),(91,1),(97,1)}
       48:{3,6}:{(29,1),(63,1),(65,1),(66,1)}
       49:{1,2,4}:{(30,1),(32,1),(33,1),(67,1),(68,1),(69,1),(93,1)}
       50:{3,4}:{(32,1),(62,1),(67,1),(68,1)}
       51:{3,4}:{(33,1),(64,1),(67,1),(69,1)}
       52:{4,6}:{(34,1),(35,1),(70,1)}
       53:{1,4,6}:{(36,1),(38,1),(43,1),(71,1),(72,1)}
       54:{1,5,7}:{(36,1),(39,1),(72,1),(73,1),(95,1)}
       55:{2,4,6}:{(37,1),(38,1),(45,1),(74,1),(75,1)}
       56:{2,5,7}:{(37,1),(39,1),(75,1),(76,1),(94,1)}
       57:{4,7}:{(38,1),(39,1)}
       58:{3,6,7}:{(39,1),(48,1),(73,1),(76,1),(77,1)}
       59:{3,5}:{(40,1),(41,1),(78,1)}
       60:{3,7}:{(40,1),(42,1)}
       61:{1,2,5,7}:{(41,1),(42,1),(44,1),(46,1),(79,1),(80,1)}
       62:{3,5}:{(43,1),(50,1),(71,1),(81,1)}
       63:{1,6}:{(44,1),(48,1)}
       64:{3,5}:{(45,1),(51,1),(74,1),(82,1)}
       65:{2,6}:{(46,1),(48,1)}
       66:{4,6}:{(47,1),(48,1),(83,1)}
       67:{3}:{(49,1)}
       68:{2,4}:{(50,1),(81,1),(85,1)}
       69:{1,4}:{(51,1),(82,1),(84,1)}
       70:{5}:{(52,1)}
       71:{3,6}:{(53,1),(62,1),(86,1),(87,1)}
       72:{1,4,7}:{(53,1),(54,1),(57,1),(87,1)}
       73:{1,6,7}:{(54,1),(58,1),(63,1)}
       74:{3,6}:{(55,1),(64,1),(88,1),(89,1)}
       75:{2,4,7}:{(55,1),(56,1),(57,1),(89,1)}
       76:{2,6,7}:{(56,1),(58,1),(65,1)}
       77:{4,6,7}:{(57,1),(58,1),(66,1),(90,1)}
       78:{4}:{(59,1)}
       79:{3,5,7}:{(59,1),(60,1),(61,1),(91,1),(92,1),(97,1)}
       80:{1,2,6}:{(61,1),(63,1),(65,1),(92,1)}
       81:{2,5}:{(62,1),(68,1),(86,1)}
       82:{1,5}:{(64,1),(69,1),(88,1)}
       83:{5,6}:{(66,1),(70,1),(90,1),(97,1)}
       84:{1,3}:{(67,1),(69,1),(93,1)}
       85:{2,3}:{(67,1),(68,1),(93,1)}
       86:{2,6}:{(71,1),(81,1),(94,1)}
       87:{3,7}:{(71,1),(72,1),(94,1)}
       88:{1,6}:{(74,1),(82,1),(95,1)}
       89:{3,7}:{(74,1),(75,1),(95,1)}
       90:{5,7}:{(77,1),(83,1)}
       91:{4,7}:{(78,1),(79,1),(96,1)}
       92:{3,6}:{(79,1),(80,1),(96,1)}
       93:{1,2}:{(84,1),(85,1)}
       94:{2,7}:{(86,1),(87,1)}
       95:{1,7}:{(88,1),(89,1)}
       96:{4,6}:{(91,1),(92,1),(97,1)}
       97:{5}:{(96,1)}

 175 :  0:{1,2,5,6}:{(1,1),(2,1),(3,1),(30,1),(31,1),(52,1),(53,1)}
        1:{3,5,6}:{(0,1),(4,1),(5,1),(7,1),(18,1),(45,1),(46,1)}
        2:{1,2,4,6}:{(0,1),(4,1),(6,1),(7,1),(8,1),(20,1),(21,1),(27,1)}
        3:{1,2,5,7}:{(0,1),(5,1),(8,1),(9,1),(43,1),(44,1)}
        4:{4,6}:{(1,1),(10,1),(12,1)}
        5:{3,5,7}:{(1,1),(3,1),(12,1),(13,1),(17,1),(37,1)}
        6:{1,2,4,5}:{(2,1),(10,1),(14,1),(30,1),(31,1),(38,1),(39,1),(40,1)}
        7:{3,6}:{(2,1),(14,1),(17,1)}
        8:{1,2,4,7}:{(2,1),(3,1),(12,1),(17,1),(35,1),(36,1),(41,1)}
        9:{1,2,6,7}:{(3,1),(13,1),(52,1),(53,1)}
       10:{4,5}:{(4,1),(18,1),(56,1)}
       11:{3,4,6}:{(4,1),(7,1),(18,1),(20,1),(21,1),(22,1),(24,1),(45,1),(47,1),(56,1),(61,1)}
       12:{4,7}:{(4,1),(5,1)}
       13:{3,6,7}:{(5,1),(9,1),(23,1),(45,1)}
       14:{3,5}:{(6,1),(7,1),(24,1)}
       15:{1,3,6}:{(7,1),(20,1),(25,1),(27,1),(28,1),(47,1)}
       16:{2,3,6}:{(7,1),(21,1),(26,1),(27,1),(29,1),(47,1)}
       17:{3,7}:{(7,1),(8,1)}
       18:{3,5}:{(10,1),(11,1),(30,1),(31,1),(62,1)}
       19:{4,5,7}:{(10,1),(12,1),(32,1),(33,1),(37,1),(59,1),(62,1)}
       20:{1,4,6}:{(11,1),(15,1),(30,1),(35,1),(38,1),(52,1)}
       21:{2,4,6}:{(11,1),(16,1),(31,1),(36,1),(39,1),(53,1)}
       22:{3,4,7}:{(11,1),(12,1),(17,1),(32,1),(35,1),(36,1),(54,1),(59,1)}
       23:{4,6,7}:{(12,1),(13,1),(33,1),(37,1)}
       24:{3,4}:{(14,1),(38,1),(39,1),(55,1)}
       25:{1,3,5}:{(14,1),(15,1),(30,1),(38,1),(40,1),(50,1),(55,1)}
       26:{2,3,5}:{(14,1),(16,1),(31,1),(39,1),(40,1),(50,1),(55,1)}
       27:{1,2,6}:{(15,1),(16,1),(40,1),(41,1)}
       28:{1,3,7}:{(15,1),(17,1),(35,1),(41,1),(54,1)}
       29:{2,3,7}:{(16,1),(17,1),(36,1),(41,1),(54,1)}
       30:{1,5}:{(18,1),(20,1)}
       31:{2,5}:{(18,1),(21,1)}
       32:{3,5,7}:{(18,1),(19,1),(22,1),(43,1),(44,1),(45,1)}
       33:{4,6}:{(19,1),(45,1),(46,1)}
       34:{1,2,4,6}:{(20,1),(21,1),(27,1),(42,1),(47,1),(48,1),(49,1),(56,1),(58,1),(61,1)}
       35:{1,4,7}:{(20,1),(22,1),(28,1),(43,1)}
       36:{2,4,7}:{(21,1),(22,1),(29,1),(44,1)}
       37:{5,7}:{(23,1),(46,1)}
       38:{1,4}:{(24,1),(25,1),(56,1)}
       39:{2,4}:{(24,1),(26,1),(56,1)}
       40:{1,2,5}:{(25,1),(26,1),(27,1),(49,1)}
       41:{1,2,7}:{(27,1),(28,1),(29,1)}
       42:{1,2,5}:{(30,1),(31,1),(34,1),(50,1),(62,1)}
       43:{1,5,7}:{(30,1),(32,1),(35,1),(52,1)}
       44:{2,5,7}:{(31,1),(32,1),(36,1),(53,1)}
       45:{3,6}:{(32,1),(33,1),(52,1),(53,1)}
       46:{5,6}:{(33,1),(37,1),(62,1)}
       47:{3,6}:{(34,1),(50,1),(54,1),(55,1)}
       48:{1,2,4,7}:{(34,1),(35,1),(36,1),(41,1),(51,1),(54,1),(59,1)}
       49:{1,2,4}:{(38,1),(39,1),(40,1),(55,1)}
       50:{3,5}:{(42,1),(47,1),(56,1)}
       51:{1,2,5,7}:{(42,1),(43,1),(44,1),(48,1),(57,1),(58,1)}
       52:{1,6}:{(43,1),(45,1)}
       53:{2,6}:{(44,1),(45,1)}
       54:{3,7}:{(47,1),(48,1)}
       55:{3}:{(49,1)}
       56:{4}:{(50,1)}
       57:{3,5,7}:{(50,1),(51,1),(54,1),(59,1),(60,1),(62,1)}
       58:{1,2,6}:{(51,1),(52,1),(53,1),(60,1)}
       59:{4,7}:{(56,1),(57,1),(61,1)}
       60:{3,6}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 176 :  0:{1,2,5,7}:{(1,1),(2,1),(3,1),(14,1),(26,1),(27,1)}
        1:{3,5,7}:{(0,1),(4,1),(5,1),(6,1),(20,1),(24,1)}
        2:{1,2,4,7}:{(0,1),(4,1),(6,1),(7,1),(17,1),(18,1),(21,1)}
        3:{1,2,6}:{(0,1),(5,1),(41,1),(42,1)}
        4:{4,7}:{(1,1),(10,1),(37,1)}
        5:{3,6}:{(1,1),(3,1),(10,1)}
        6:{3,7}:{(2,1),(13,1)}
        7:{1,2,4,6}:{(2,1),(3,1),(10,1),(13,1),(14,1),(31,1),(32,1),(34,1),(37,1),(64,1)}
        8:{4,5,7}:{(4,1),(15,1),(16,1),(20,1),(39,1),(48,1),(69,1),(70,1),(92,1)}
        9:{3,4,7}:{(4,1),(6,1),(15,1),(17,1),(18,1),(19,1),(44,1),(69,1),(70,1),(90,1),(91,1)}
       10:{4,6}:{(4,1),(5,1),(20,1)}
       11:{1,3,7}:{(6,1),(17,1),(21,1),(22,1),(44,1),(90,1)}
       12:{2,3,7}:{(6,1),(18,1),(21,1),(23,1),(44,1),(91,1)}
       13:{3,6}:{(6,1),(7,1),(24,1),(77,1)}
       14:{1,2,5}:{(7,1),(20,1),(24,1),(46,1),(47,1)}
       15:{3,5,7}:{(8,1),(9,1),(26,1),(27,1),(28,1),(33,1)}
       16:{4,6}:{(8,1),(28,1),(29,1)}
       17:{1,4,7}:{(9,1),(11,1),(26,1),(31,1),(97,1)}
       18:{2,4,7}:{(9,1),(12,1),(27,1),(32,1),(96,1)}
       19:{3,4,6}:{(9,1),(10,1),(13,1),(28,1),(31,1),(32,1),(33,1),(37,1),(59,1),(60,1),(65,1),(66,1),(82,1),(83,1),(84,1),(85,1)}
       20:{5}:{(10,1)}
       21:{1,2,7}:{(11,1),(12,1),(34,1),(96,1),(97,1)}
       22:{1,3,6}:{(11,1),(13,1),(31,1),(34,1),(35,1),(60,1),(83,1),(88,1)}
       23:{2,3,6}:{(12,1),(13,1),(32,1),(34,1),(36,1),(60,1),(84,1),(89,1)}
       24:{3,5}:{(13,1),(14,1),(37,1)}
       25:{4,6,7}:{(16,1),(38,1),(39,1),(69,1)}
       26:{1,5,7}:{(15,1),(17,1),(41,1),(46,1)}
       27:{2,5,7}:{(15,1),(18,1),(42,1),(47,1)}
       28:{3,6}:{(15,1),(16,1),(41,1),(42,1)}
       29:{5,6}:{(16,1),(20,1),(39,1),(92,1)}
       30:{1,2,4,7}:{(17,1),(18,1),(21,1),(40,1),(44,1),(45,1),(70,1)}
       31:{1,4,6}:{(17,1),(19,1),(22,1),(41,1),(46,1),(50,1),(79,1),(94,1)}
       32:{2,4,6}:{(18,1),(19,1),(23,1),(42,1),(47,1),(51,1),(78,1),(93,1)}
       33:{3,5}:{(19,1),(20,1),(46,1),(47,1),(48,1),(92,1)}
       34:{1,2,6}:{(21,1),(22,1),(23,1),(49,1),(93,1),(94,1),(95,1)}
       35:{1,3,5}:{(22,1),(24,1),(46,1),(49,1),(50,1),(74,1),(75,1),(77,1)}
       36:{2,3,5}:{(23,1),(24,1),(47,1),(49,1),(51,1),(74,1),(76,1),(77,1)}
       37:{4}:{(24,1)}
       38:{3,6,7}:{(25,1),(28,1),(52,1),(53,1),(54,1)}
       39:{5,7}:{(25,1),(29,1)}
       40:{1,2,5,7}:{(26,1),(27,1),(30,1),(55,1),(56,1),(61,1)}
       41:{1,6}:{(26,1),(28,1)}
       42:{2,6}:{(27,1),(28,1)}
       43:{3,5,6}:{(28,1),(29,1),(33,1),(54,1),(57,1),(58,1),(59,1),(83,1),(84,1)}
       44:{3,7}:{(30,1),(60,1)}
       45:{1,2,4,6}:{(30,1),(31,1),(32,1),(34,1),(56,1),(60,1),(61,1),(64,1),(82,1),(85,1)}
       46:{1,5}:{(31,1),(33,1)}
       47:{2,5}:{(32,1),(33,1)}
       48:{4,5}:{(33,1),(37,1),(59,1),(85,1)}
       49:{1,2,5}:{(34,1),(35,1),(36,1),(64,1),(86,1),(87,1)}
       50:{1,4}:{(35,1),(37,1),(65,1),(85,1)}
       51:{2,4}:{(36,1),(37,1),(66,1),(85,1)}
       52:{1,6,7}:{(38,1),(41,1),(67,1)}
       53:{2,6,7}:{(38,1),(42,1),(68,1)}
       54:{3,5,7}:{(38,1),(39,1),(43,1),(67,1),(68,1),(69,1),(90,1),(91,1)}
       55:{3,5,7}:{(40,1),(44,1),(70,1),(71,1),(74,1),(92,1)}
       56:{1,2,6}:{(40,1),(41,1),(42,1),(71,1)}
       57:{1,5,6}:{(41,1),(43,1),(46,1),(67,1),(72,1),(94,1)}
       58:{2,5,6}:{(42,1),(43,1),(47,1),(68,1),(73,1),(93,1)}
       59:{4,6}:{(43,1),(48,1),(69,1)}
       60:{3,6}:{(44,1),(45,1),(74,1),(77,1)}
       61:{1,2,5}:{(45,1),(46,1),(47,1),(74,1),(92,1)}
       62:{1,4,5}:{(46,1),(48,1),(50,1),(72,1),(75,1)}
       63:{2,4,5}:{(47,1),(48,1),(51,1),(73,1),(76,1)}
       64:{1,2,4}:{(49,1),(50,1),(51,1),(77,1),(78,1),(79,1),(95,1)}
       65:{3,4}:{(50,1),(75,1),(77,1),(78,1)}
       66:{3,4}:{(51,1),(76,1),(77,1),(79,1)}
       67:{1,5,7}:{(52,1),(54,1),(57,1),(80,1),(97,1)}
       68:{2,5,7}:{(53,1),(54,1),(58,1),(81,1),(96,1)}
       69:{4,7}:{(54,1),(59,1)}
       70:{4,7}:{(55,1),(82,1),(85,1)}
       71:{3,6}:{(55,1),(56,1),(82,1)}
       72:{1,4,6}:{(57,1),(59,1),(62,1),(80,1),(83,1)}
       73:{2,4,6}:{(58,1),(59,1),(63,1),(81,1),(84,1)}
       74:{3,5}:{(60,1),(61,1),(85,1)}
       75:{3,5}:{(62,1),(65,1),(83,1),(86,1)}
       76:{3,5}:{(63,1),(66,1),(84,1),(87,1)}
       77:{3}:{(64,1)}
       78:{2,4}:{(65,1),(86,1),(89,1)}
       79:{1,4}:{(66,1),(87,1),(88,1)}
       80:{1,4,7}:{(67,1),(69,1),(72,1),(90,1)}
       81:{2,4,7}:{(68,1),(69,1),(73,1),(91,1)}
       82:{4,6}:{(70,1),(71,1),(92,1)}
       83:{3,6}:{(72,1),(75,1),(90,1),(93,1)}
       84:{3,6}:{(73,1),(76,1),(91,1),(94,1)}
       85:{4}:{(74,1)}
       86:{2,5}:{(75,1),(78,1),(93,1)}
       87:{1,5}:{(76,1),(79,1),(94,1)}
       88:{1,3}:{(77,1),(79,1),(95,1)}
       89:{2,3}:{(77,1),(78,1),(95,1)}
       90:{3,7}:{(80,1),(83,1),(96,1)}
       91:{3,7}:{(81,1),(84,1),(97,1)}
       92:{5}:{(82,1)}
       93:{2,6}:{(83,1),(86,1),(96,1)}
       94:{1,6}:{(84,1),(87,1),(97,1)}
       95:{1,2}:{(88,1),(89,1)}
       96:{2,7}:{(90,1),(93,1)}
       97:{1,7}:{(91,1),(94,1)}

 177 :  0:{1,2,6,7}:{(1,1),(2,1),(41,1),(42,1)}
        1:{3,6,7}:{(0,1),(3,1),(4,1),(30,1)}
        2:{1,2,5,7}:{(0,1),(4,1),(5,1),(6,1),(31,1),(32,1)}
        3:{4,6,7}:{(1,1),(7,1),(9,1),(20,1)}
        4:{3,5,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(11,1)}
        5:{1,2,5,6}:{(2,1),(8,1),(10,1),(41,1),(42,1),(44,1),(45,1)}
        6:{1,2,4,7}:{(2,1),(9,1),(10,1),(11,1),(24,1),(25,1),(29,1)}
        7:{5,7}:{(3,1),(12,1)}
        8:{3,5,6}:{(4,1),(5,1),(12,1),(14,1),(17,1),(30,1),(33,1)}
        9:{4,7}:{(4,1),(14,1)}
       10:{1,2,4,6}:{(5,1),(6,1),(14,1),(16,1),(17,1),(34,1),(35,1),(40,1)}
       11:{3,7}:{(6,1),(17,1)}
       12:{5,6}:{(7,1),(20,1),(62,1)}
       13:{4,5,7}:{(7,1),(9,1),(20,1),(21,1),(22,1),(57,1),(62,1)}
       14:{4,6}:{(8,1),(9,1),(22,1)}
       15:{3,4,7}:{(9,1),(11,1),(21,1),(23,1),(24,1),(25,1),(47,1),(57,1)}
       16:{1,2,4,5}:{(10,1),(22,1),(26,1),(44,1),(45,1),(48,1),(49,1),(50,1)}
       17:{3,6}:{(10,1),(11,1),(26,1)}
       18:{1,3,7}:{(11,1),(24,1),(27,1),(29,1),(47,1)}
       19:{2,3,7}:{(11,1),(25,1),(28,1),(29,1),(47,1)}
       20:{4,6}:{(12,1),(13,1),(30,1)}
       21:{3,5,7}:{(13,1),(15,1),(30,1),(31,1),(32,1),(33,1)}
       22:{4,5}:{(14,1),(33,1),(61,1)}
       23:{3,4,6}:{(14,1),(15,1),(17,1),(30,1),(33,1),(34,1),(35,1),(37,1),(54,1),(60,1),(61,1)}
       24:{1,4,7}:{(15,1),(18,1),(31,1),(34,1)}
       25:{2,4,7}:{(15,1),(19,1),(32,1),(35,1)}
       26:{3,5}:{(16,1),(17,1),(37,1)}
       27:{1,3,6}:{(17,1),(18,1),(34,1),(38,1),(40,1),(54,1)}
       28:{2,3,6}:{(17,1),(19,1),(35,1),(39,1),(40,1),(54,1)}
       29:{1,2,7}:{(18,1),(19,1),(40,1)}
       30:{3,6}:{(20,1),(21,1),(41,1),(42,1)}
       31:{1,5,7}:{(21,1),(24,1),(41,1),(44,1)}
       32:{2,5,7}:{(21,1),(25,1),(42,1),(45,1)}
       33:{3,5}:{(22,1),(23,1),(44,1),(45,1),(62,1)}
       34:{1,4,6}:{(23,1),(24,1),(27,1),(41,1),(44,1),(48,1)}
       35:{2,4,6}:{(23,1),(25,1),(28,1),(42,1),(45,1),(49,1)}
       36:{1,2,4,7}:{(24,1),(25,1),(29,1),(43,1),(46,1),(47,1),(57,1)}
       37:{3,4}:{(26,1),(48,1),(49,1),(59,1)}
       38:{1,3,5}:{(26,1),(27,1),(44,1),(48,1),(50,1),(58,1),(59,1)}
       39:{2,3,5}:{(26,1),(28,1),(45,1),(49,1),(50,1),(58,1),(59,1)}
       40:{1,2,6}:{(27,1),(28,1),(29,1),(50,1)}
       41:{1,6}:{(30,1),(31,1)}
       42:{2,6}:{(30,1),(32,1)}
       43:{1,2,5,7}:{(31,1),(32,1),(36,1),(51,1),(52,1),(53,1)}
       44:{1,5}:{(33,1),(34,1)}
       45:{2,5}:{(33,1),(35,1)}
       46:{1,2,4,6}:{(34,1),(35,1),(36,1),(40,1),(51,1),(53,1),(54,1),(55,1),(60,1),(61,1)}
       47:{3,7}:{(36,1),(54,1)}
       48:{1,4}:{(37,1),(38,1),(61,1)}
       49:{2,4}:{(37,1),(39,1),(61,1)}
       50:{1,2,5}:{(38,1),(39,1),(40,1),(55,1)}
       51:{1,2,6}:{(41,1),(42,1),(43,1),(56,1)}
       52:{3,5,7}:{(43,1),(47,1),(56,1),(57,1),(58,1),(62,1)}
       53:{1,2,5}:{(44,1),(45,1),(46,1),(58,1),(62,1)}
       54:{3,6}:{(46,1),(47,1),(58,1),(59,1)}
       55:{1,2,4}:{(48,1),(49,1),(50,1),(59,1)}
       56:{3,6}:{(51,1),(52,1),(60,1)}
       57:{4,7}:{(52,1),(60,1),(61,1)}
       58:{3,5}:{(53,1),(54,1),(61,1)}
       59:{3}:{(55,1)}
       60:{4,6}:{(56,1),(57,1),(62,1)}
       61:{4}:{(58,1)}
       62:{5}:{(60,1)}

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

 179 :   0:{1,4,5,7}:{(1,1),(2,1),(9,1),(17,1),(33,1),(35,1),(40,1)}
         1:{3,5,7}:{(0,1),(3,1),(5,1),(6,1),(22,1)}
         2:{1,4,6}:{(0,1),(6,1),(8,1),(28,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(11,1),(31,1),(40,1),(62,1)}
         4:{1,3,5,7}:{(1,1),(9,1),(12,1),(13,1),(31,1),(33,1),(58,1)}
         5:{2,5,7}:{(1,1),(10,1),(14,1),(34,1)}
         6:{3,6}:{(1,1),(2,1),(14,1)}
         7:{1,4,6,7}:{(2,1),(15,1),(17,1),(40,1)}
         8:{1,5,6}:{(2,1),(16,1),(17,1),(33,1),(63,1)}
         9:{1,4,7}:{(3,1),(4,1),(20,1),(71,1),(75,1)}
        10:{2,4,7}:{(3,1),(5,1),(18,1),(21,1)}
        11:{3,4,6}:{(3,1),(6,1),(20,1),(21,1),(22,1),(28,1),(45,1),(51,1),(68,1),(71,1)}
        12:{1,2,5,7}:{(4,1),(5,1),(19,1),(23,1),(24,1),(46,1),(64,1)}
        13:{1,3,6}:{(4,1),(6,1),(20,1),(24,1),(45,1),(89,1)}
        14:{2,6}:{(5,1),(6,1)}
        15:{3,6,7}:{(6,1),(7,1),(25,1),(27,1)}
        16:{3,5,6}:{(6,1),(8,1),(22,1),(26,1),(27,1),(28,1),(51,1)}
        17:{1,5,7}:{(7,1),(8,1),(27,1),(75,1)}
        18:{2,3,7}:{(10,1),(29,1),(30,1),(31,1),(62,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(12,1),(29,1),(31,1),(32,1),(36,1),(52,1)}
        20:{1,4,6}:{(9,1),(11,1),(13,1),(33,1),(63,1),(80,1)}
        21:{2,4,6}:{(10,1),(11,1),(14,1),(30,1),(34,1),(55,1)}
        22:{3,5}:{(11,1),(33,1),(34,1),(35,1)}
        23:{2,3,5,7}:{(12,1),(31,1),(36,1),(37,1),(56,1),(58,1),(61,1)}
        24:{1,2,6}:{(12,1),(13,1),(14,1),(37,1),(76,1),(97,1)}
        25:{2,6,7}:{(14,1),(15,1),(38,1)}
        26:{2,5,6}:{(14,1),(16,1),(34,1),(38,1),(39,1)}
        27:{3,5,7}:{(15,1),(16,1),(17,1),(38,1),(40,1),(62,1)}
        28:{4,6}:{(16,1),(35,1),(40,1)}
        29:{1,2,7}:{(18,1),(41,1),(42,1),(75,1),(104,1)}
        30:{2,3,6}:{(18,1),(21,1),(42,1),(43,1),(45,1),(51,1)}
        31:{3,7}:{(19,1),(45,1)}
        32:{1,2,4,6}:{(19,1),(20,1),(21,1),(24,1),(42,1),(45,1),(46,1),(49,1),(65,1),(67,1),(71,1)}
        33:{1,5}:{(20,1),(22,1)}
        34:{2,5}:{(21,1),(22,1)}
        35:{4,5}:{(22,1),(28,1),(71,1)}
        36:{2,4,7}:{(23,1),(44,1),(49,1),(71,1),(104,1)}
        37:{2,3,6}:{(23,1),(24,1),(45,1),(49,1),(69,1),(90,1)}
        38:{2,5,7}:{(25,1),(26,1),(27,1),(50,1)}
        39:{2,4,6}:{(26,1),(28,1),(47,1),(50,1),(51,1)}
        40:{4,7}:{(27,1),(28,1)}
        41:{1,3,7}:{(29,1),(31,1),(52,1),(53,1),(102,1)}
        42:{1,2,6}:{(29,1),(30,1),(53,1),(54,1),(63,1),(103,1)}
        43:{2,3,5}:{(30,1),(34,1),(54,1),(55,1),(58,1),(59,1),(79,1)}
        44:{3,4,7}:{(31,1),(36,1),(52,1),(56,1),(57,1),(98,1),(102,1)}
        45:{3,6}:{(31,1),(32,1),(58,1),(79,1)}
        46:{1,2,5}:{(32,1),(33,1),(34,1),(58,1),(61,1),(77,1)}
        47:{2,4,5}:{(34,1),(35,1),(39,1),(55,1),(59,1)}
        48:{2,4,5,7}:{(36,1),(56,1),(60,1),(61,1),(83,1),(84,1),(98,1)}
        49:{2,4,6}:{(36,1),(37,1),(57,1),(61,1),(96,1),(103,1)}
        50:{2,4,7}:{(38,1),(39,1),(40,1),(62,1)}
        51:{3,6}:{(39,1),(59,1),(62,1),(63,1)}
        52:{1,4,7}:{(41,1),(44,1),(64,1),(65,1)}
        53:{1,3,6}:{(41,1),(42,1),(45,1),(65,1),(66,1),(100,1)}
        54:{1,2,5}:{(42,1),(43,1),(66,1),(67,1),(72,1),(101,1)}
        55:{2,4}:{(43,1),(68,1),(71,1)}
        56:{3,5,7}:{(44,1),(48,1),(64,1),(69,1),(70,1)}
        57:{3,4,6}:{(44,1),(45,1),(49,1),(65,1),(69,1),(70,1),(71,1),(88,1),(92,1),(100,1)}
        58:{3,5}:{(45,1),(46,1),(71,1)}
        59:{3,5}:{(47,1),(51,1),(68,1),(72,1)}
        60:{2,4,6}:{(48,1),(69,1),(74,1),(92,1)}
        61:{2,5}:{(49,1),(70,1)}
        62:{3,7}:{(50,1),(51,1),(75,1)}
        63:{1,6}:{(51,1),(72,1),(75,1)}
        64:{1,5,7}:{(52,1),(56,1),(76,1),(77,1)}
        65:{1,4,6}:{(52,1),(53,1),(57,1),(76,1),(77,1),(78,1)}
        66:{1,3,5}:{(53,1),(54,1),(58,1),(77,1),(78,1),(79,1),(95,1)}
        67:{1,2,4}:{(54,1),(55,1),(78,1),(79,1),(80,1),(96,1),(97,1)}
        68:{3,4}:{(55,1),(59,1),(79,1),(80,1)}
        69:{3,6}:{(56,1),(60,1),(76,1)}
        70:{3,5}:{(57,1),(61,1),(77,1),(83,1)}
        71:{4}:{(58,1)}
        72:{1,5}:{(59,1),(63,1),(80,1)}
        73:{2,4,6,7}:{(60,1),(81,1),(84,1),(98,1)}
        74:{2,5,6}:{(60,1),(61,1),(82,1),(84,1),(103,1)}
        75:{1,7}:{(62,1),(63,1)}
        76:{1,6}:{(64,1),(69,1)}
        77:{1,5}:{(65,1),(70,1)}
        78:{1,4}:{(66,1),(71,1),(88,1)}
        79:{3}:{(67,1)}
        80:{1,4}:{(68,1),(72,1),(89,1)}
        81:{3,6,7}:{(69,1),(73,1),(85,1),(91,1)}
        82:{3,5,6}:{(69,1),(70,1),(74,1),(86,1),(91,1),(92,1),(100,1)}
        83:{4,5}:{(70,1),(71,1),(92,1)}
        84:{2,5,7}:{(73,1),(74,1),(91,1),(104,1)}
        85:{1,6,7}:{(76,1),(81,1),(93,1)}
        86:{1,5,6}:{(76,1),(77,1),(82,1),(93,1),(94,1)}
        87:{1,4,5}:{(77,1),(78,1),(83,1),(94,1),(95,1)}
        88:{3,4}:{(78,1),(79,1),(95,1),(96,1)}
        89:{1,3}:{(79,1),(80,1),(97,1)}
        90:{2,3}:{(79,1),(96,1),(97,1)}
        91:{3,5,7}:{(81,1),(82,1),(84,1),(93,1),(98,1),(102,1)}
        92:{4,6}:{(82,1),(83,1),(98,1)}
        93:{1,5,7}:{(85,1),(86,1),(91,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(92,1),(99,1),(100,1)}
        95:{3,5}:{(87,1),(88,1),(100,1),(101,1)}
        96:{2,4}:{(88,1),(90,1),(101,1)}
        97:{1,2}:{(89,1),(90,1)}
        98:{4,7}:{(91,1),(92,1)}
        99:{1,4,7}:{(93,1),(94,1),(98,1),(102,1)}
       100:{3,6}:{(94,1),(95,1),(102,1),(103,1)}
       101:{2,5}:{(95,1),(96,1),(103,1)}
       102:{3,7}:{(99,1),(100,1),(104,1)}
       103:{2,6}:{(100,1),(101,1),(104,1)}
       104:{2,7}:{(102,1),(103,1)}

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

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

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

 183 :   0:{2,4,5,7}:{(1,1),(2,1),(10,1),(17,1),(34,1),(35,1),(40,1)}
         1:{3,5,7}:{(0,1),(3,1),(4,1),(6,1),(22,1)}
         2:{2,4,6}:{(0,1),(6,1),(8,1),(28,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(11,1),(31,1),(40,1),(62,1)}
         4:{1,5,7}:{(1,1),(9,1),(13,1),(33,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(12,1),(14,1),(31,1),(34,1),(58,1)}
         6:{3,6}:{(1,1),(2,1),(13,1)}
         7:{2,4,6,7}:{(2,1),(15,1),(17,1),(40,1)}
         8:{2,5,6}:{(2,1),(16,1),(17,1),(34,1),(63,1)}
         9:{1,4,7}:{(3,1),(4,1),(18,1),(20,1)}
        10:{2,4,7}:{(3,1),(5,1),(21,1),(71,1),(75,1)}
        11:{3,4,6}:{(3,1),(6,1),(20,1),(21,1),(22,1),(28,1),(45,1),(51,1),(68,1),(71,1)}
        12:{1,2,5,7}:{(4,1),(5,1),(19,1),(23,1),(24,1),(46,1),(64,1)}
        13:{1,6}:{(4,1),(6,1)}
        14:{2,3,6}:{(5,1),(6,1),(21,1),(24,1),(45,1),(90,1)}
        15:{3,6,7}:{(6,1),(7,1),(25,1),(27,1)}
        16:{3,5,6}:{(6,1),(8,1),(22,1),(26,1),(27,1),(28,1),(51,1)}
        17:{2,5,7}:{(7,1),(8,1),(27,1),(75,1)}
        18:{1,3,7}:{(9,1),(29,1),(30,1),(31,1),(62,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(12,1),(29,1),(31,1),(32,1),(36,1),(52,1)}
        20:{1,4,6}:{(9,1),(11,1),(13,1),(30,1),(33,1),(55,1)}
        21:{2,4,6}:{(10,1),(11,1),(14,1),(34,1),(63,1),(80,1)}
        22:{3,5}:{(11,1),(33,1),(34,1),(35,1)}
        23:{1,3,5,7}:{(12,1),(31,1),(36,1),(37,1),(56,1),(58,1),(61,1)}
        24:{1,2,6}:{(12,1),(13,1),(14,1),(37,1),(76,1),(97,1)}
        25:{1,6,7}:{(13,1),(15,1),(38,1)}
        26:{1,5,6}:{(13,1),(16,1),(33,1),(38,1),(39,1)}
        27:{3,5,7}:{(15,1),(16,1),(17,1),(38,1),(40,1),(62,1)}
        28:{4,6}:{(16,1),(35,1),(40,1)}
        29:{1,2,7}:{(18,1),(41,1),(42,1),(75,1),(104,1)}
        30:{1,3,6}:{(18,1),(20,1),(42,1),(43,1),(45,1),(51,1)}
        31:{3,7}:{(19,1),(45,1)}
        32:{1,2,4,6}:{(19,1),(20,1),(21,1),(24,1),(42,1),(45,1),(46,1),(49,1),(65,1),(67,1),(71,1)}
        33:{1,5}:{(20,1),(22,1)}
        34:{2,5}:{(21,1),(22,1)}
        35:{4,5}:{(22,1),(28,1),(71,1)}
        36:{1,4,7}:{(23,1),(44,1),(49,1),(71,1),(104,1)}
        37:{1,3,6}:{(23,1),(24,1),(45,1),(49,1),(69,1),(89,1)}
        38:{1,5,7}:{(25,1),(26,1),(27,1),(50,1)}
        39:{1,4,6}:{(26,1),(28,1),(47,1),(50,1),(51,1)}
        40:{4,7}:{(27,1),(28,1)}
        41:{2,3,7}:{(29,1),(31,1),(52,1),(53,1),(102,1)}
        42:{1,2,6}:{(29,1),(30,1),(53,1),(54,1),(63,1),(103,1)}
        43:{1,3,5}:{(30,1),(33,1),(54,1),(55,1),(58,1),(59,1),(79,1)}
        44:{3,4,7}:{(31,1),(36,1),(52,1),(56,1),(57,1),(98,1),(102,1)}
        45:{3,6}:{(31,1),(32,1),(58,1),(79,1)}
        46:{1,2,5}:{(32,1),(33,1),(34,1),(58,1),(61,1),(77,1)}
        47:{1,4,5}:{(33,1),(35,1),(39,1),(55,1),(59,1)}
        48:{1,4,5,7}:{(36,1),(56,1),(60,1),(61,1),(83,1),(84,1),(98,1)}
        49:{1,4,6}:{(36,1),(37,1),(57,1),(61,1),(96,1),(103,1)}
        50:{1,4,7}:{(38,1),(39,1),(40,1),(62,1)}
        51:{3,6}:{(39,1),(59,1),(62,1),(63,1)}
        52:{2,4,7}:{(41,1),(44,1),(64,1),(65,1)}
        53:{2,3,6}:{(41,1),(42,1),(45,1),(65,1),(66,1),(100,1)}
        54:{1,2,5}:{(42,1),(43,1),(66,1),(67,1),(72,1),(101,1)}
        55:{1,4}:{(43,1),(68,1),(71,1)}
        56:{3,5,7}:{(44,1),(48,1),(64,1),(69,1),(70,1)}
        57:{3,4,6}:{(44,1),(45,1),(49,1),(65,1),(69,1),(70,1),(71,1),(88,1),(92,1),(100,1)}
        58:{3,5}:{(45,1),(46,1),(71,1)}
        59:{3,5}:{(47,1),(51,1),(68,1),(72,1)}
        60:{1,4,6}:{(48,1),(69,1),(74,1),(92,1)}
        61:{1,5}:{(49,1),(70,1)}
        62:{3,7}:{(50,1),(51,1),(75,1)}
        63:{2,6}:{(51,1),(72,1),(75,1)}
        64:{2,5,7}:{(52,1),(56,1),(76,1),(77,1)}
        65:{2,4,6}:{(52,1),(53,1),(57,1),(76,1),(77,1),(78,1)}
        66:{2,3,5}:{(53,1),(54,1),(58,1),(77,1),(78,1),(79,1),(95,1)}
        67:{1,2,4}:{(54,1),(55,1),(78,1),(79,1),(80,1),(96,1),(97,1)}
        68:{3,4}:{(55,1),(59,1),(79,1),(80,1)}
        69:{3,6}:{(56,1),(60,1),(76,1)}
        70:{3,5}:{(57,1),(61,1),(77,1),(83,1)}
        71:{4}:{(58,1)}
        72:{2,5}:{(59,1),(63,1),(80,1)}
        73:{1,4,6,7}:{(60,1),(81,1),(84,1),(98,1)}
        74:{1,5,6}:{(60,1),(61,1),(82,1),(84,1),(103,1)}
        75:{2,7}:{(62,1),(63,1)}
        76:{2,6}:{(64,1),(69,1)}
        77:{2,5}:{(65,1),(70,1)}
        78:{2,4}:{(66,1),(71,1),(88,1)}
        79:{3}:{(67,1)}
        80:{2,4}:{(68,1),(72,1),(90,1)}
        81:{3,6,7}:{(69,1),(73,1),(85,1),(91,1)}
        82:{3,5,6}:{(69,1),(70,1),(74,1),(86,1),(91,1),(92,1),(100,1)}
        83:{4,5}:{(70,1),(71,1),(92,1)}
        84:{1,5,7}:{(73,1),(74,1),(91,1),(104,1)}
        85:{2,6,7}:{(76,1),(81,1),(93,1)}
        86:{2,5,6}:{(76,1),(77,1),(82,1),(93,1),(94,1)}
        87:{2,4,5}:{(77,1),(78,1),(83,1),(94,1),(95,1)}
        88:{3,4}:{(78,1),(79,1),(95,1),(96,1)}
        89:{1,3}:{(79,1),(96,1),(97,1)}
        90:{2,3}:{(79,1),(80,1),(97,1)}
        91:{3,5,7}:{(81,1),(82,1),(84,1),(93,1),(98,1),(102,1)}
        92:{4,6}:{(82,1),(83,1),(98,1)}
        93:{2,5,7}:{(85,1),(86,1),(91,1),(99,1)}
        94:{2,4,6}:{(86,1),(87,1),(92,1),(99,1),(100,1)}
        95:{3,5}:{(87,1),(88,1),(100,1),(101,1)}
        96:{1,4}:{(88,1),(89,1),(101,1)}
        97:{1,2}:{(89,1),(90,1)}
        98:{4,7}:{(91,1),(92,1)}
        99:{2,4,7}:{(93,1),(94,1),(98,1),(102,1)}
       100:{3,6}:{(94,1),(95,1),(102,1),(103,1)}
       101:{1,5}:{(95,1),(96,1),(103,1)}
       102:{3,7}:{(99,1),(100,1),(104,1)}
       103:{1,6}:{(100,1),(101,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

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

 185 :   0:{2,4,6,7}:{(1,1),(2,1),(9,1),(10,1)}
         1:{3,6,7}:{(0,1),(3,1),(4,1),(16,1)}
         2:{2,5,7}:{(0,1),(4,1),(5,1),(31,1)}
         3:{1,6,7}:{(1,1),(7,1),(25,1)}
         4:{3,5,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(20,1)}
         5:{2,5,6}:{(2,1),(8,1),(10,1),(40,1),(43,1)}
         6:{2,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(21,1),(24,1),(43,1)}
         7:{1,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{3,5,6}:{(4,1),(5,1),(12,1),(14,1),(16,1),(29,1),(32,1)}
         9:{4,7}:{(4,1),(14,1)}
        10:{2,4,6}:{(5,1),(6,1),(14,1),(16,1)}
        11:{3,5,7}:{(6,1),(15,1),(16,1),(17,1),(32,1)}
        12:{1,5,6}:{(7,1),(8,1),(19,1),(25,1),(42,1)}
        13:{1,4,7}:{(7,1),(9,1),(19,1),(20,1)}
        14:{4,6}:{(8,1),(9,1),(21,1)}
        15:{3,4,7}:{(9,1),(11,1),(20,1),(22,1),(23,1),(24,1),(45,1)}
        16:{3,6}:{(10,1),(11,1),(25,1)}
        17:{1,5,7}:{(11,1),(23,1),(25,1),(42,1)}
        18:{2,3,5,7}:{(11,1),(24,1),(26,1),(27,1),(43,1),(45,1),(63,1)}
        19:{1,4,6}:{(12,1),(13,1),(14,1),(28,1),(29,1)}
        20:{3,7}:{(13,1),(29,1),(31,1)}
        21:{4,5}:{(14,1),(32,1),(73,1)}
        22:{3,4,6}:{(14,1),(15,1),(16,1),(29,1),(32,1),(33,1),(34,1),(48,1),(54,1),(73,1)}
        23:{1,4,7}:{(15,1),(17,1),(30,1),(33,1)}
        24:{2,4,7}:{(15,1),(18,1),(31,1),(34,1),(73,1)}
        25:{1,6}:{(16,1),(17,1)}
        26:{2,3,6}:{(16,1),(18,1),(34,1),(36,1),(54,1),(68,1)}
        27:{1,2,5,7}:{(17,1),(18,1),(35,1),(36,1),(37,1),(53,1),(72,1)}
        28:{1,4,5}:{(19,1),(21,1),(38,1),(42,1),(58,1)}
        29:{3,6}:{(19,1),(20,1),(38,1),(40,1)}
        30:{1,3,7}:{(20,1),(23,1),(39,1),(41,1),(45,1)}
        31:{2,7}:{(20,1),(40,1)}
        32:{3,5}:{(21,1),(22,1),(42,1),(43,1)}
        33:{1,4,6}:{(22,1),(23,1),(25,1),(39,1),(42,1),(58,1)}
        34:{2,4,6}:{(22,1),(24,1),(26,1),(40,1),(43,1),(59,1)}
        35:{1,2,4,7}:{(23,1),(24,1),(27,1),(41,1),(44,1),(45,1),(47,1),(62,1)}
        36:{1,2,6}:{(25,1),(26,1),(27,1),(46,1),(78,1),(82,1)}
        37:{1,3,5,7}:{(27,1),(45,1),(46,1),(47,1),(63,1),(65,1),(66,1)}
        38:{3,5}:{(28,1),(29,1),(48,1),(50,1)}
        39:{1,3,6}:{(29,1),(30,1),(33,1),(49,1),(51,1),(54,1)}
        40:{2,6}:{(29,1),(31,1),(50,1)}
        41:{1,2,7}:{(30,1),(31,1),(51,1),(52,1),(104,1)}
        42:{1,5}:{(32,1),(33,1)}
        43:{2,5}:{(32,1),(34,1)}
        44:{1,2,4,6}:{(33,1),(34,1),(35,1),(36,1),(51,1),(53,1),(54,1),(56,1),(69,1),(71,1),(73,1)}
        45:{3,7}:{(35,1),(54,1)}
        46:{1,3,6}:{(36,1),(37,1),(54,1),(56,1),(75,1),(87,1)}
        47:{1,4,7}:{(37,1),(55,1),(56,1),(73,1),(104,1)}
        48:{3,4}:{(38,1),(58,1),(59,1),(79,1)}
        49:{1,3,5}:{(38,1),(39,1),(42,1),(58,1),(60,1),(63,1),(79,1)}
        50:{2,5}:{(38,1),(40,1),(59,1)}
        51:{1,2,6}:{(39,1),(40,1),(41,1),(60,1),(61,1),(102,1)}
        52:{2,3,7}:{(41,1),(45,1),(61,1),(62,1),(103,1)}
        53:{1,2,5}:{(42,1),(43,1),(44,1),(63,1),(66,1),(81,1)}
        54:{3,6}:{(44,1),(45,1),(63,1),(79,1)}
        55:{3,4,7}:{(45,1),(47,1),(62,1),(64,1),(65,1),(98,1),(103,1)}
        56:{1,4,6}:{(46,1),(47,1),(64,1),(66,1),(94,1),(102,1)}
        57:{1,4,5,7}:{(47,1),(65,1),(66,1),(67,1),(83,1),(86,1),(98,1)}
        58:{1,4}:{(48,1),(49,1),(73,1)}
        59:{2,4}:{(48,1),(50,1),(68,1)}
        60:{1,2,5}:{(49,1),(50,1),(51,1),(69,1),(70,1),(99,1)}
        61:{2,3,6}:{(51,1),(52,1),(54,1),(70,1),(71,1),(100,1)}
        62:{2,4,7}:{(52,1),(55,1),(71,1),(72,1)}
        63:{3,5}:{(53,1),(54,1),(73,1)}
        64:{3,4,6}:{(54,1),(55,1),(56,1),(71,1),(73,1),(74,1),(75,1),(88,1),(92,1),(100,1)}
        65:{3,5,7}:{(55,1),(57,1),(72,1),(74,1),(75,1)}
        66:{1,5}:{(56,1),(74,1)}
        67:{1,4,6}:{(57,1),(75,1),(76,1),(92,1)}
        68:{2,3}:{(59,1),(78,1),(79,1)}
        69:{1,2,4}:{(58,1),(59,1),(60,1),(78,1),(79,1),(80,1),(94,1)}
        70:{2,3,5}:{(60,1),(61,1),(63,1),(79,1),(80,1),(81,1),(95,1)}
        71:{2,4,6}:{(61,1),(62,1),(64,1),(80,1),(81,1),(82,1)}
        72:{2,5,7}:{(62,1),(65,1),(81,1),(82,1)}
        73:{4}:{(63,1)}
        74:{3,5}:{(64,1),(66,1),(81,1),(83,1)}
        75:{3,6}:{(65,1),(67,1),(82,1)}
        76:{1,5,6}:{(66,1),(67,1),(84,1),(86,1),(102,1)}
        77:{1,4,6,7}:{(67,1),(85,1),(86,1),(98,1)}
        78:{1,2}:{(68,1),(87,1)}
        79:{3}:{(69,1)}
        80:{2,4}:{(70,1),(73,1),(88,1)}
        81:{2,5}:{(71,1),(74,1)}
        82:{2,6}:{(72,1),(75,1)}
        83:{4,5}:{(73,1),(74,1),(92,1)}
        84:{3,5,6}:{(74,1),(75,1),(76,1),(90,1),(92,1),(93,1),(100,1)}
        85:{3,6,7}:{(75,1),(77,1),(91,1),(93,1)}
        86:{1,5,7}:{(76,1),(77,1),(93,1),(104,1)}
        87:{1,3}:{(78,1),(79,1),(94,1)}
        88:{3,4}:{(79,1),(80,1),(94,1),(95,1)}
        89:{2,4,5}:{(80,1),(81,1),(83,1),(95,1),(96,1)}
        90:{2,5,6}:{(81,1),(82,1),(84,1),(96,1),(97,1)}
        91:{2,6,7}:{(82,1),(85,1),(97,1)}
        92:{4,6}:{(83,1),(84,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(86,1),(97,1),(98,1),(103,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{3,5}:{(88,1),(89,1),(99,1),(100,1)}
        96:{2,4,6}:{(89,1),(90,1),(92,1),(100,1),(101,1)}
        97:{2,5,7}:{(90,1),(91,1),(93,1),(101,1)}
        98:{4,7}:{(92,1),(93,1)}
        99:{1,5}:{(94,1),(95,1),(102,1)}
       100:{3,6}:{(95,1),(96,1),(102,1),(103,1)}
       101:{2,4,7}:{(96,1),(97,1),(98,1),(103,1)}
       102:{1,6}:{(99,1),(100,1),(104,1)}
       103:{3,7}:{(100,1),(101,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 186 :  0:{3,4,5}:{(1,1),(2,1),(3,1),(17,1),(70,1)}
        1:{1,4,5}:{(0,1),(4,1),(7,1)}
        2:{2,4,5}:{(0,1),(5,1),(8,1)}
        3:{3,4,6}:{(0,1),(7,1),(8,1),(9,1),(10,1),(34,1),(62,1)}
        4:{1,3,5}:{(1,1),(11,1),(13,1),(14,1),(17,1)}
        5:{2,3,5}:{(2,1),(12,1),(15,1),(16,1),(17,1)}
        6:{1,2,4,5}:{(1,1),(2,1),(13,1),(15,1),(17,1),(18,1),(43,1),(46,1),(66,1),(68,1),(70,1)}
        7:{1,4,6}:{(1,1),(3,1),(14,1),(19,1),(20,1)}
        8:{2,4,6}:{(2,1),(3,1),(16,1),(21,1),(22,1)}
        9:{3,5,6}:{(3,1),(19,1),(21,1),(23,1),(24,1)}
       10:{3,4,7}:{(3,1),(20,1),(22,1),(24,1),(51,1),(72,1)}
       11:{1,3,4}:{(4,1),(25,1),(33,1)}
       12:{2,3,4}:{(5,1),(26,1),(33,1)}
       13:{1,2,5}:{(4,1),(25,1),(27,1),(28,1)}
       14:{1,3,6}:{(4,1),(7,1),(28,1),(29,1),(34,1)}
       15:{1,2,5}:{(5,1),(26,1),(30,1),(31,1)}
       16:{2,3,6}:{(5,1),(8,1),(31,1),(32,1),(34,1)}
       17:{3,5}:{(6,1),(33,1),(34,1)}
       18:{1,2,4,6}:{(6,1),(7,1),(8,1),(28,1),(31,1),(34,1),(35,1),(36,1),(56,1),(58,1),(62,1)}
       19:{1,5,6}:{(7,1),(9,1),(37,1)}
       20:{1,4,7}:{(7,1),(10,1),(29,1),(37,1)}
       21:{2,5,6}:{(8,1),(9,1),(38,1)}
       22:{2,4,7}:{(8,1),(10,1),(32,1),(38,1)}
       23:{4,5,6}:{(9,1),(39,1),(62,1),(83,1)}
       24:{3,5,7}:{(9,1),(10,1),(37,1),(38,1),(39,1),(40,1)}
       25:{1,2,4}:{(11,1),(13,1),(41,1),(43,1)}
       26:{1,2,4}:{(12,1),(15,1),(42,1),(46,1)}
       27:{2,3,5}:{(13,1),(17,1),(41,1),(43,1),(44,1),(66,1)}
       28:{1,2,6}:{(13,1),(14,1),(44,1),(45,1)}
       29:{1,3,7}:{(14,1),(20,1),(45,1),(51,1)}
       30:{1,3,5}:{(15,1),(17,1),(42,1),(46,1),(47,1),(68,1)}
       31:{1,2,6}:{(15,1),(16,1),(47,1),(48,1)}
       32:{2,3,7}:{(16,1),(22,1),(48,1),(51,1)}
       33:{3,4}:{(17,1),(43,1),(46,1)}
       34:{3,6}:{(17,1),(18,1),(51,1)}
       35:{1,2,5,6}:{(18,1),(19,1),(21,1),(50,1),(52,1),(66,1),(68,1),(79,1),(80,1)}
       36:{1,2,4,7}:{(18,1),(20,1),(22,1),(45,1),(48,1),(51,1),(52,1),(67,1),(69,1),(72,1)}
       37:{1,5,7}:{(19,1),(20,1),(24,1),(53,1)}
       38:{2,5,7}:{(21,1),(22,1),(24,1),(54,1)}
       39:{4,5,7}:{(23,1),(24,1),(55,1),(72,1),(82,1)}
       40:{3,6,7}:{(24,1),(53,1),(54,1),(55,1)}
       41:{2,3}:{(25,1)}
       42:{1,3}:{(26,1)}
       43:{2,4}:{(27,1),(33,1)}
       44:{2,3,6}:{(27,1),(28,1),(34,1),(56,1),(57,1)}
       45:{1,2,7}:{(28,1),(29,1),(57,1)}
       46:{1,4}:{(30,1),(33,1)}
       47:{1,3,6}:{(30,1),(31,1),(34,1),(58,1),(59,1)}
       48:{1,2,7}:{(31,1),(32,1),(59,1)}
       49:{3,4,6}:{(33,1),(34,1),(56,1),(58,1),(60,1),(61,1),(62,1),(77,1)}
       50:{3,5,6}:{(34,1),(35,1),(60,1),(62,1),(63,1),(77,1),(83,1)}
       51:{3,7}:{(34,1),(36,1)}
       52:{1,2,5,7}:{(35,1),(36,1),(37,1),(38,1),(63,1),(64,1),(74,1),(75,1)}
       53:{1,6,7}:{(37,1),(40,1)}
       54:{2,6,7}:{(38,1),(40,1)}
       55:{4,6,7}:{(39,1),(40,1),(65,1)}
       56:{2,4,6}:{(43,1),(44,1),(49,1),(66,1),(67,1),(79,1)}
       57:{2,3,7}:{(44,1),(45,1),(51,1),(67,1)}
       58:{1,4,6}:{(46,1),(47,1),(49,1),(68,1),(69,1),(80,1)}
       59:{1,3,7}:{(47,1),(48,1),(51,1),(69,1)}
       60:{3,5}:{(49,1),(66,1),(68,1),(70,1)}
       61:{3,4,7}:{(49,1),(51,1),(67,1),(69,1),(71,1),(72,1)}
       62:{4,6}:{(50,1),(70,1),(72,1)}
       63:{3,5,7}:{(50,1),(51,1),(52,1),(72,1),(73,1),(82,1)}
       64:{1,2,6,7}:{(52,1),(53,1),(54,1),(73,1),(79,1),(80,1)}
       65:{5,6,7}:{(55,1),(82,1)}
       66:{2,5}:{(56,1),(60,1)}
       67:{2,4,7}:{(56,1),(57,1),(61,1),(74,1)}
       68:{1,5}:{(58,1),(60,1)}
       69:{1,4,7}:{(58,1),(59,1),(61,1),(75,1)}
       70:{4,5}:{(60,1),(62,1)}
       71:{3,5,7}:{(60,1),(61,1),(74,1),(75,1),(76,1),(77,1)}
       72:{4,7}:{(62,1),(63,1)}
       73:{3,6,7}:{(63,1),(64,1),(77,1),(78,1)}
       74:{2,5,7}:{(66,1),(67,1),(71,1),(79,1)}
       75:{1,5,7}:{(68,1),(69,1),(71,1),(80,1)}
       76:{4,5,7}:{(70,1),(71,1),(72,1),(81,1),(82,1)}
       77:{3,6}:{(71,1),(79,1),(80,1),(81,1)}
       78:{4,6,7}:{(72,1),(73,1),(81,1),(82,1)}
       79:{2,6}:{(74,1),(77,1)}
       80:{1,6}:{(75,1),(77,1)}
       81:{4,6}:{(76,1),(77,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

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

 188 :  0:{6,7}:{(4,1),(53,1)}
        1:{5,6}:{(4,1),(5,1),(45,1),(53,1)}
        2:{4,5}:{(5,1),(6,1),(34,1),(45,1)}
        3:{3,4}:{(6,1),(7,1),(8,1),(22,1),(34,1)}
        4:{5,7}:{(0,1),(1,1),(11,1)}
        5:{4,6}:{(1,1),(2,1),(11,1),(12,1)}
        6:{3,5}:{(2,1),(3,1),(12,1),(13,1),(14,1)}
        7:{1,4}:{(3,1),(9,1),(13,1)}
        8:{2,4}:{(3,1),(10,1),(14,1)}
        9:{1,3}:{(7,1),(16,1),(22,1)}
       10:{2,3}:{(8,1),(17,1),(22,1)}
       11:{4,7}:{(4,1),(5,1),(18,1)}
       12:{3,6}:{(5,1),(6,1),(18,1),(19,1),(20,1)}
       13:{1,5}:{(6,1),(7,1),(19,1)}
       14:{2,5}:{(6,1),(8,1),(20,1)}
       15:{1,2,4}:{(7,1),(8,1),(16,1),(17,1),(21,1),(22,1),(30,1),(31,1),(34,1)}
       16:{1,2}:{(9,1),(23,1)}
       17:{1,2}:{(10,1),(24,1)}
       18:{3,7}:{(11,1),(12,1),(25,1),(26,1)}
       19:{1,6}:{(12,1),(13,1),(25,1)}
       20:{2,6}:{(12,1),(14,1),(26,1)}
       21:{1,2,5}:{(13,1),(14,1),(15,1),(27,1),(28,1),(36,1),(37,1)}
       22:{3}:{(15,1)}
       23:{2,3}:{(16,1),(22,1),(30,1)}
       24:{1,3}:{(17,1),(22,1),(31,1)}
       25:{1,7}:{(18,1),(19,1)}
       26:{2,7}:{(18,1),(20,1)}
       27:{1,2,6}:{(19,1),(20,1),(21,1),(32,1),(33,1),(42,1),(43,1)}
       28:{3,5}:{(21,1),(22,1),(33,1),(34,1),(45,1)}
       29:{3,4}:{(22,1),(30,1),(31,1),(34,1),(35,1)}
       30:{2,4}:{(23,1),(29,1),(36,1)}
       31:{1,4}:{(24,1),(29,1),(37,1)}
       32:{1,2,7}:{(25,1),(26,1),(27,1),(38,1),(48,1),(49,1)}
       33:{3,6}:{(27,1),(28,1),(38,1),(39,1)}
       34:{4}:{(28,1)}
       35:{3,5}:{(29,1),(36,1),(37,1),(40,1),(41,1)}
       36:{2,5}:{(30,1),(35,1),(42,1)}
       37:{1,5}:{(31,1),(35,1),(43,1)}
       38:{3,7}:{(32,1),(33,1),(44,1)}
       39:{4,6}:{(33,1),(34,1),(44,1),(45,1),(53,1)}
       40:{4,5}:{(34,1),(35,1),(45,1),(46,1)}
       41:{3,6}:{(35,1),(42,1),(43,1),(46,1),(47,1)}
       42:{2,6}:{(36,1),(41,1),(48,1)}
       43:{1,6}:{(37,1),(41,1),(49,1)}
       44:{4,7}:{(38,1),(39,1),(50,1)}
       45:{5}:{(39,1)}
       46:{4,6}:{(40,1),(41,1),(51,1),(52,1)}
       47:{3,7}:{(41,1),(48,1),(49,1),(52,1)}
       48:{2,7}:{(42,1),(47,1)}
       49:{1,7}:{(43,1),(47,1)}
       50:{5,7}:{(44,1),(45,1),(53,1)}
       51:{5,6}:{(45,1),(46,1),(53,1),(54,1)}
       52:{4,7}:{(46,1),(47,1),(54,1)}
       53:{6}:{(50,1)}
       54:{5,7}:{(51,1),(52,1),(55,1)}
       55:{6,7}:{(53,1),(54,1)}

 189 :   0:{4,5,7}:{(2,1),(3,1),(23,1),(32,1),(62,1),(63,1),(106,1)}
         1:{3,4,7}:{(2,1),(4,1),(5,1),(6,1),(28,1),(62,1),(63,1),(103,1),(104,1)}
         2:{3,5,7}:{(0,1),(1,1),(10,1),(11,1),(12,1),(17,1)}
         3:{4,6}:{(0,1),(12,1),(13,1)}
         4:{1,4,7}:{(1,1),(7,1),(10,1),(15,1),(125,1)}
         5:{2,4,7}:{(1,1),(8,1),(11,1),(16,1),(124,1)}
         6:{3,4,6}:{(1,1),(12,1),(15,1),(16,1),(17,1),(46,1),(48,1),(76,1),(81,1),(85,1),(86,1),(87,1),(90,1)}
         7:{1,3,7}:{(4,1),(18,1),(19,1),(28,1),(103,1)}
         8:{2,3,7}:{(5,1),(20,1),(21,1),(28,1),(104,1)}
         9:{4,6,7}:{(3,1),(22,1),(23,1),(62,1)}
        10:{1,5,7}:{(2,1),(4,1),(25,1),(30,1)}
        11:{2,5,7}:{(2,1),(5,1),(26,1),(31,1)}
        12:{3,6}:{(2,1),(3,1),(25,1),(26,1)}
        13:{5,6}:{(3,1),(23,1),(106,1)}
        14:{1,2,4,7}:{(4,1),(5,1),(18,1),(20,1),(24,1),(28,1),(29,1),(52,1),(56,1),(63,1)}
        15:{1,4,6}:{(4,1),(6,1),(19,1),(25,1),(30,1),(55,1),(102,1),(108,1)}
        16:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(31,1),(59,1),(97,1),(107,1)}
        17:{3,5}:{(6,1),(30,1),(31,1),(32,1),(106,1)}
        18:{1,2,7}:{(7,1),(33,1),(34,1),(124,1),(152,1)}
        19:{1,3,6}:{(7,1),(15,1),(34,1),(35,1),(48,1),(86,1),(122,1)}
        20:{1,2,7}:{(8,1),(36,1),(37,1),(125,1),(153,1)}
        21:{2,3,6}:{(8,1),(16,1),(37,1),(38,1),(48,1),(87,1),(117,1)}
        22:{3,6,7}:{(9,1),(12,1),(39,1),(40,1),(41,1)}
        23:{5,7}:{(9,1),(13,1)}
        24:{1,2,5,7}:{(10,1),(11,1),(14,1),(42,1),(43,1),(49,1),(72,1),(77,1)}
        25:{1,6}:{(10,1),(12,1)}
        26:{2,6}:{(11,1),(12,1)}
        27:{3,5,6}:{(12,1),(13,1),(17,1),(41,1),(44,1),(45,1),(46,1),(86,1),(87,1)}
        28:{3,7}:{(14,1),(48,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(16,1),(34,1),(37,1),(43,1),(48,1),(49,1),(73,1),(75,1),(78,1),(80,1),(85,1),(90,1)}
        30:{1,5}:{(15,1),(17,1)}
        31:{2,5}:{(16,1),(17,1)}
        32:{4,5}:{(17,1),(46,1),(90,1)}
        33:{2,3,7}:{(18,1),(28,1),(52,1),(53,1),(148,1)}
        34:{1,2,6}:{(18,1),(19,1),(53,1),(54,1),(107,1),(139,1),(149,1)}
        35:{1,3,5}:{(19,1),(30,1),(54,1),(55,1),(69,1),(70,1),(96,1)}
        36:{1,3,7}:{(20,1),(28,1),(56,1),(57,1),(150,1)}
        37:{1,2,6}:{(20,1),(21,1),(57,1),(58,1),(108,1),(134,1),(151,1)}
        38:{2,3,5}:{(21,1),(31,1),(58,1),(59,1),(69,1),(71,1),(101,1)}
        39:{1,6,7}:{(22,1),(25,1),(60,1)}
        40:{2,6,7}:{(22,1),(26,1),(61,1)}
        41:{3,5,7}:{(22,1),(23,1),(27,1),(60,1),(61,1),(62,1),(103,1),(104,1)}
        42:{3,5,7}:{(24,1),(28,1),(63,1),(64,1),(69,1),(106,1)}
        43:{1,2,6}:{(24,1),(25,1),(26,1),(64,1),(93,1),(98,1)}
        44:{1,5,6}:{(25,1),(27,1),(30,1),(60,1),(65,1),(108,1)}
        45:{2,5,6}:{(26,1),(27,1),(31,1),(61,1),(66,1),(107,1)}
        46:{4,6}:{(27,1),(32,1),(62,1)}
        47:{3,4,7}:{(28,1),(52,1),(56,1),(63,1),(67,1),(68,1),(141,1),(148,1),(150,1)}
        48:{3,6}:{(28,1),(29,1),(69,1),(96,1),(101,1)}
        49:{1,2,5}:{(29,1),(30,1),(31,1),(69,1),(94,1),(99,1),(106,1)}
        50:{1,4,5}:{(30,1),(32,1),(55,1),(65,1),(70,1)}
        51:{2,4,5}:{(31,1),(32,1),(59,1),(66,1),(71,1)}
        52:{2,4,7}:{(33,1),(47,1),(72,1),(73,1),(153,1)}
        53:{2,3,6}:{(33,1),(34,1),(48,1),(73,1),(74,1),(123,1),(143,1)}
        54:{1,2,5}:{(34,1),(35,1),(74,1),(75,1),(91,1),(144,1)}
        55:{1,4}:{(35,1),(76,1),(90,1)}
        56:{1,4,7}:{(36,1),(47,1),(77,1),(78,1),(152,1)}
        57:{1,3,6}:{(36,1),(37,1),(48,1),(78,1),(79,1),(116,1),(146,1)}
        58:{1,2,5}:{(37,1),(38,1),(79,1),(80,1),(92,1),(147,1)}
        59:{2,4}:{(38,1),(81,1),(90,1)}
        60:{1,5,7}:{(39,1),(41,1),(44,1),(82,1),(125,1)}
        61:{2,5,7}:{(40,1),(41,1),(45,1),(83,1),(124,1)}
        62:{4,7}:{(41,1),(46,1)}
        63:{4,7}:{(42,1),(85,1),(90,1)}
        64:{3,6}:{(42,1),(43,1),(85,1)}
        65:{1,4,6}:{(44,1),(46,1),(50,1),(82,1),(86,1)}
        66:{2,4,6}:{(45,1),(46,1),(51,1),(83,1),(87,1)}
        67:{3,5,7}:{(47,1),(72,1),(77,1),(84,1),(88,1),(89,1)}
        68:{3,4,6}:{(47,1),(48,1),(73,1),(78,1),(85,1),(88,1),(89,1),(90,1),(115,1),(121,1),(129,1),(143,1),(146,1)}
        69:{3,5}:{(48,1),(49,1),(90,1)}
        70:{3,5}:{(50,1),(76,1),(86,1),(91,1)}
        71:{3,5}:{(51,1),(81,1),(87,1),(92,1)}
        72:{2,5,7}:{(52,1),(67,1),(93,1),(94,1)}
        73:{2,4,6}:{(52,1),(53,1),(68,1),(93,1),(94,1),(95,1),(138,1),(151,1)}
        74:{2,3,5}:{(53,1),(54,1),(69,1),(94,1),(95,1),(96,1),(132,1)}
        75:{1,2,4}:{(54,1),(55,1),(95,1),(96,1),(97,1),(133,1),(134,1)}
        76:{3,4}:{(55,1),(70,1),(96,1),(97,1)}
        77:{1,5,7}:{(56,1),(67,1),(98,1),(99,1)}
        78:{1,4,6}:{(56,1),(57,1),(68,1),(98,1),(99,1),(100,1),(133,1),(149,1)}
        79:{1,3,5}:{(57,1),(58,1),(69,1),(99,1),(100,1),(101,1),(137,1)}
        80:{1,2,4}:{(58,1),(59,1),(100,1),(101,1),(102,1),(138,1),(139,1)}
        81:{3,4}:{(59,1),(71,1),(101,1),(102,1)}
        82:{1,4,7}:{(60,1),(62,1),(65,1),(103,1)}
        83:{2,4,7}:{(61,1),(62,1),(66,1),(104,1)}
        84:{4,5,7}:{(63,1),(67,1),(105,1),(106,1),(111,1),(140,1),(141,1)}
        85:{4,6}:{(63,1),(64,1),(106,1)}
        86:{3,6}:{(65,1),(70,1),(103,1),(107,1)}
        87:{3,6}:{(66,1),(71,1),(104,1),(108,1)}
        88:{3,6}:{(67,1),(93,1),(98,1),(105,1)}
        89:{3,5}:{(68,1),(94,1),(99,1),(106,1),(111,1)}
        90:{4}:{(69,1)}
        91:{2,5}:{(70,1),(97,1),(107,1)}
        92:{1,5}:{(71,1),(102,1),(108,1)}
        93:{2,6}:{(72,1),(88,1)}
        94:{2,5}:{(73,1),(89,1)}
        95:{2,4}:{(74,1),(90,1),(115,1)}
        96:{3}:{(75,1)}
        97:{2,4}:{(76,1),(91,1),(117,1)}
        98:{1,6}:{(77,1),(88,1)}
        99:{1,5}:{(78,1),(89,1)}
       100:{1,4}:{(79,1),(90,1),(121,1)}
       101:{3}:{(80,1)}
       102:{1,4}:{(81,1),(92,1),(122,1)}
       103:{3,7}:{(82,1),(86,1),(124,1)}
       104:{3,7}:{(83,1),(87,1),(125,1)}
       105:{4,6}:{(84,1),(88,1),(127,1)}
       106:{5}:{(85,1)}
       107:{2,6}:{(86,1),(91,1),(124,1)}
       108:{1,6}:{(87,1),(92,1),(125,1)}
       109:{3,6,7}:{(88,1),(112,1),(118,1),(126,1),(128,1)}
       110:{3,5,6}:{(88,1),(89,1),(113,1),(119,1),(127,1),(128,1),(129,1),(143,1),(146,1)}
       111:{4,5}:{(89,1),(90,1),(129,1)}
       112:{2,6,7}:{(93,1),(109,1),(130,1)}
       113:{2,5,6}:{(93,1),(94,1),(110,1),(130,1),(131,1),(151,1)}
       114:{2,4,5}:{(94,1),(95,1),(111,1),(131,1),(132,1)}
       115:{3,4}:{(95,1),(96,1),(132,1),(133,1)}
       116:{1,3}:{(96,1),(133,1),(134,1)}
       117:{2,3}:{(96,1),(97,1),(134,1)}
       118:{1,6,7}:{(98,1),(109,1),(135,1)}
       119:{1,5,6}:{(98,1),(99,1),(110,1),(135,1),(136,1),(149,1)}
       120:{1,4,5}:{(99,1),(100,1),(111,1),(136,1),(137,1)}
       121:{3,4}:{(100,1),(101,1),(137,1),(138,1)}
       122:{1,3}:{(101,1),(102,1),(139,1)}
       123:{2,3}:{(101,1),(138,1),(139,1)}
       124:{2,7}:{(103,1),(107,1)}
       125:{1,7}:{(104,1),(108,1)}
       126:{4,6,7}:{(105,1),(109,1),(140,1),(141,1)}
       127:{5,6}:{(105,1),(106,1),(140,1)}
       128:{3,5,7}:{(109,1),(110,1),(130,1),(135,1),(140,1),(141,1),(148,1),(150,1)}
       129:{4,6}:{(110,1),(111,1),(141,1)}
       130:{2,5,7}:{(112,1),(113,1),(128,1),(142,1),(153,1)}
       131:{2,4,6}:{(113,1),(114,1),(129,1),(142,1),(143,1)}
       132:{3,5}:{(114,1),(115,1),(143,1),(144,1)}
       133:{1,4}:{(115,1),(116,1),(144,1)}
       134:{1,2}:{(116,1),(117,1)}
       135:{1,5,7}:{(118,1),(119,1),(128,1),(145,1),(152,1)}
       136:{1,4,6}:{(119,1),(120,1),(129,1),(145,1),(146,1)}
       137:{3,5}:{(120,1),(121,1),(146,1),(147,1)}
       138:{2,4}:{(121,1),(123,1),(147,1)}
       139:{1,2}:{(122,1),(123,1)}
       140:{5,7}:{(126,1),(127,1)}
       141:{4,7}:{(128,1),(129,1)}
       142:{2,4,7}:{(130,1),(131,1),(141,1),(148,1)}
       143:{3,6}:{(131,1),(132,1),(148,1),(149,1)}
       144:{1,5}:{(132,1),(133,1),(149,1)}
       145:{1,4,7}:{(135,1),(136,1),(141,1),(150,1)}
       146:{3,6}:{(136,1),(137,1),(150,1),(151,1)}
       147:{2,5}:{(137,1),(138,1),(151,1)}
       148:{3,7}:{(142,1),(143,1),(152,1)}
       149:{1,6}:{(143,1),(144,1),(152,1)}
       150:{3,7}:{(145,1),(146,1),(153,1)}
       151:{2,6}:{(146,1),(147,1),(153,1)}
       152:{1,7}:{(148,1),(149,1)}
       153:{2,7}:{(150,1),(151,1)}

 190 :  0:{1,2,5,7}:{(1,1),(2,1),(3,1),(14,1),(25,1),(26,1)}
        1:{3,5,7}:{(0,1),(4,1),(5,1),(6,1),(20,1),(24,1)}
        2:{1,2,4,7}:{(0,1),(4,1),(6,1),(7,1),(17,1),(18,1),(21,1)}
        3:{1,2,6}:{(0,1),(5,1),(39,1),(40,1)}
        4:{4,7}:{(1,1),(10,1),(37,1)}
        5:{3,6}:{(1,1),(3,1),(10,1)}
        6:{3,7}:{(2,1),(13,1)}
        7:{1,2,4,6}:{(2,1),(3,1),(10,1),(13,1),(14,1),(31,1),(32,1),(34,1),(37,1),(64,1)}
        8:{4,5,7}:{(4,1),(15,1),(16,1),(20,1),(43,1),(48,1),(67,1),(73,1),(90,1)}
        9:{3,4,7}:{(4,1),(6,1),(15,1),(17,1),(18,1),(19,1),(44,1),(67,1),(73,1),(91,1),(93,1)}
       10:{4,6}:{(4,1),(5,1),(20,1)}
       11:{1,3,7}:{(6,1),(17,1),(21,1),(22,1),(44,1),(91,1)}
       12:{2,3,7}:{(6,1),(18,1),(21,1),(23,1),(44,1),(93,1)}
       13:{3,6}:{(6,1),(7,1),(24,1),(77,1)}
       14:{1,2,5}:{(7,1),(20,1),(24,1),(46,1),(47,1)}
       15:{3,5,7}:{(8,1),(9,1),(25,1),(26,1),(27,1),(33,1)}
       16:{4,6}:{(8,1),(27,1),(29,1)}
       17:{1,4,7}:{(9,1),(11,1),(25,1),(31,1),(97,1)}
       18:{2,4,7}:{(9,1),(12,1),(26,1),(32,1),(96,1)}
       19:{3,4,6}:{(9,1),(10,1),(13,1),(27,1),(31,1),(32,1),(33,1),(37,1),(59,1),(60,1),(65,1),(66,1),(80,1),(82,1),(84,1),(85,1)}
       20:{5}:{(10,1)}
       21:{1,2,7}:{(11,1),(12,1),(34,1),(96,1),(97,1)}
       22:{1,3,6}:{(11,1),(13,1),(31,1),(34,1),(35,1),(60,1),(82,1),(88,1)}
       23:{2,3,6}:{(12,1),(13,1),(32,1),(34,1),(36,1),(60,1),(84,1),(89,1)}
       24:{3,5}:{(13,1),(14,1),(37,1)}
       25:{1,5,7}:{(15,1),(17,1),(39,1),(46,1)}
       26:{2,5,7}:{(15,1),(18,1),(40,1),(47,1)}
       27:{3,6}:{(15,1),(16,1),(39,1),(40,1)}
       28:{4,6,7}:{(16,1),(41,1),(43,1),(73,1)}
       29:{5,6}:{(16,1),(20,1),(43,1),(90,1)}
       30:{1,2,4,7}:{(17,1),(18,1),(21,1),(38,1),(44,1),(45,1),(67,1)}
       31:{1,4,6}:{(17,1),(19,1),(22,1),(39,1),(46,1),(50,1),(79,1),(94,1)}
       32:{2,4,6}:{(18,1),(19,1),(23,1),(40,1),(47,1),(51,1),(78,1),(92,1)}
       33:{3,5}:{(19,1),(20,1),(46,1),(47,1),(48,1),(90,1)}
       34:{1,2,6}:{(21,1),(22,1),(23,1),(49,1),(92,1),(94,1),(95,1)}
       35:{1,3,5}:{(22,1),(24,1),(46,1),(49,1),(50,1),(74,1),(75,1),(77,1)}
       36:{2,3,5}:{(23,1),(24,1),(47,1),(49,1),(51,1),(74,1),(76,1),(77,1)}
       37:{4}:{(24,1)}
       38:{1,2,5,7}:{(25,1),(26,1),(30,1),(52,1),(53,1),(61,1)}
       39:{1,6}:{(25,1),(27,1)}
       40:{2,6}:{(26,1),(27,1)}
       41:{3,6,7}:{(27,1),(28,1),(54,1),(56,1),(58,1)}
       42:{3,5,6}:{(27,1),(29,1),(33,1),(55,1),(57,1),(58,1),(59,1),(82,1),(84,1)}
       43:{5,7}:{(28,1),(29,1)}
       44:{3,7}:{(30,1),(60,1)}
       45:{1,2,4,6}:{(30,1),(31,1),(32,1),(34,1),(53,1),(60,1),(61,1),(64,1),(80,1),(85,1)}
       46:{1,5}:{(31,1),(33,1)}
       47:{2,5}:{(32,1),(33,1)}
       48:{4,5}:{(33,1),(37,1),(59,1),(85,1)}
       49:{1,2,5}:{(34,1),(35,1),(36,1),(64,1),(86,1),(87,1)}
       50:{1,4}:{(35,1),(37,1),(65,1),(85,1)}
       51:{2,4}:{(36,1),(37,1),(66,1),(85,1)}
       52:{3,5,7}:{(38,1),(44,1),(67,1),(68,1),(74,1),(90,1)}
       53:{1,2,6}:{(38,1),(39,1),(40,1),(68,1)}
       54:{1,6,7}:{(39,1),(41,1),(69,1)}
       55:{1,5,6}:{(39,1),(42,1),(46,1),(69,1),(70,1),(94,1)}
       56:{2,6,7}:{(40,1),(41,1),(71,1)}
       57:{2,5,6}:{(40,1),(42,1),(47,1),(71,1),(72,1),(92,1)}
       58:{3,5,7}:{(41,1),(42,1),(43,1),(69,1),(71,1),(73,1),(91,1),(93,1)}
       59:{4,6}:{(42,1),(48,1),(73,1)}
       60:{3,6}:{(44,1),(45,1),(74,1),(77,1)}
       61:{1,2,5}:{(45,1),(46,1),(47,1),(74,1),(90,1)}
       62:{1,4,5}:{(46,1),(48,1),(50,1),(70,1),(75,1)}
       63:{2,4,5}:{(47,1),(48,1),(51,1),(72,1),(76,1)}
       64:{1,2,4}:{(49,1),(50,1),(51,1),(77,1),(78,1),(79,1),(95,1)}
       65:{3,4}:{(50,1),(75,1),(77,1),(78,1)}
       66:{3,4}:{(51,1),(76,1),(77,1),(79,1)}
       67:{4,7}:{(52,1),(80,1),(85,1)}
       68:{3,6}:{(52,1),(53,1),(80,1)}
       69:{1,5,7}:{(54,1),(55,1),(58,1),(81,1),(97,1)}
       70:{1,4,6}:{(55,1),(59,1),(62,1),(81,1),(82,1)}
       71:{2,5,7}:{(56,1),(57,1),(58,1),(83,1),(96,1)}
       72:{2,4,6}:{(57,1),(59,1),(63,1),(83,1),(84,1)}
       73:{4,7}:{(58,1),(59,1)}
       74:{3,5}:{(60,1),(61,1),(85,1)}
       75:{3,5}:{(62,1),(65,1),(82,1),(86,1)}
       76:{3,5}:{(63,1),(66,1),(84,1),(87,1)}
       77:{3}:{(64,1)}
       78:{2,4}:{(65,1),(86,1),(89,1)}
       79:{1,4}:{(66,1),(87,1),(88,1)}
       80:{4,6}:{(67,1),(68,1),(90,1)}
       81:{1,4,7}:{(69,1),(70,1),(73,1),(91,1)}
       82:{3,6}:{(70,1),(75,1),(91,1),(92,1)}
       83:{2,4,7}:{(71,1),(72,1),(73,1),(93,1)}
       84:{3,6}:{(72,1),(76,1),(93,1),(94,1)}
       85:{4}:{(74,1)}
       86:{2,5}:{(75,1),(78,1),(92,1)}
       87:{1,5}:{(76,1),(79,1),(94,1)}
       88:{1,3}:{(77,1),(79,1),(95,1)}
       89:{2,3}:{(77,1),(78,1),(95,1)}
       90:{5}:{(80,1)}
       91:{3,7}:{(81,1),(82,1),(96,1)}
       92:{2,6}:{(82,1),(86,1),(96,1)}
       93:{3,7}:{(83,1),(84,1),(97,1)}
       94:{1,6}:{(84,1),(87,1),(97,1)}
       95:{1,2}:{(88,1),(89,1)}
       96:{2,7}:{(91,1),(92,1)}
       97:{1,7}:{(93,1),(94,1)}

 191 :  0:{1,4,6}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,5}:{(0,1),(5,1),(21,1),(24,1)}
        3:{1,4,7}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{2,6}:{(1,1),(8,1),(9,1)}
        5:{3,5}:{(1,1),(2,1),(8,1),(10,1),(17,1)}
        6:{3,7}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,5,7}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{2,5}:{(4,1),(5,1),(13,1)}
        9:{2,7}:{(4,1),(6,1),(34,1)}
       10:{4}:{(5,1)}
       11:{3,5,7}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,6}:{(7,1),(16,1)}
       13:{2,4}:{(8,1),(10,1),(17,1)}
       14:{2,5,7}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{4,7}:{(10,1),(11,1),(20,1),(31,1)}
       16:{3,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{3}:{(13,1),(21,1)}
       18:{2,4,7}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{2,6}:{(14,1),(16,1)}
       20:{4,6}:{(15,1),(16,1),(24,1)}
       21:{1}:{(17,1)}
       22:{3,7}:{(17,1),(18,1),(25,1),(26,1)}
       23:{2,4,6}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{5}:{(20,1)}
       25:{1,7}:{(21,1),(22,1),(28,1)}
       26:{3,6}:{(22,1),(23,1),(28,1),(29,1)}
       27:{2,5}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,6}:{(25,1),(26,1),(30,1)}
       29:{3,5}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,5}:{(28,1),(29,1),(32,1)}
       31:{4}:{(29,1)}
       32:{1,4}:{(30,1),(31,1),(33,1)}
       33:{3}:{(32,1),(34,1)}
       34:{2}:{(33,1)}

 192 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1)}
        2:{2,5}:{(0,1),(5,1),(21,1),(24,1)}
        3:{2,4,7}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,6}:{(1,1),(8,1),(9,1)}
        5:{3,5}:{(1,1),(2,1),(8,1),(10,1),(17,1)}
        6:{3,7}:{(1,1),(3,1),(9,1),(33,1)}
        7:{2,5,7}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,5}:{(4,1),(5,1),(13,1)}
        9:{1,7}:{(4,1),(6,1),(34,1)}
       10:{4}:{(5,1)}
       11:{3,5,7}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{2,6}:{(7,1),(16,1)}
       13:{1,4}:{(8,1),(10,1),(17,1)}
       14:{1,5,7}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{4,7}:{(10,1),(11,1),(20,1),(31,1)}
       16:{3,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{3}:{(13,1),(21,1)}
       18:{1,4,7}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,6}:{(14,1),(16,1)}
       20:{4,6}:{(15,1),(16,1),(24,1)}
       21:{2}:{(17,1)}
       22:{3,7}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,4,6}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{5}:{(20,1)}
       25:{2,7}:{(21,1),(22,1),(28,1)}
       26:{3,6}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,5}:{(23,1),(24,1),(29,1),(34,1)}
       28:{2,6}:{(25,1),(26,1),(30,1)}
       29:{3,5}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{2,5}:{(28,1),(29,1),(32,1)}
       31:{4}:{(29,1)}
       32:{2,4}:{(30,1),(31,1),(33,1)}
       33:{3}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 193 :   0:{3,4,6}:{(2,1),(3,1),(4,1),(5,1),(8,1),(31,1),(39,1),(40,1),(43,1),(73,1),(78,1),(81,1),(120,1)}
         1:{3,5,6}:{(4,1),(6,1),(7,1),(8,1),(9,1),(39,1),(40,1),(43,1),(86,1)}
         2:{1,4,6}:{(0,1),(10,1),(13,1),(14,1),(50,1),(60,1),(66,1),(98,1)}
         3:{2,4,6}:{(0,1),(11,1),(15,1),(16,1),(54,1),(62,1),(64,1),(93,1)}
         4:{3,5}:{(0,1),(13,1),(15,1),(17,1),(136,1)}
         5:{3,4,7}:{(0,1),(14,1),(16,1),(18,1),(23,1),(57,1),(65,1),(67,1),(102,1)}
         6:{1,5,6}:{(1,1),(13,1),(19,1),(20,1),(60,1),(66,1)}
         7:{2,5,6}:{(1,1),(15,1),(21,1),(22,1),(62,1),(64,1)}
         8:{4,6}:{(1,1),(17,1),(23,1)}
         9:{3,5,7}:{(1,1),(20,1),(22,1),(23,1),(24,1),(65,1),(67,1),(68,1)}
        10:{1,3,6}:{(2,1),(25,1),(26,1),(27,1),(31,1),(40,1),(114,1)}
        11:{2,3,6}:{(3,1),(28,1),(29,1),(30,1),(31,1),(43,1),(109,1)}
        12:{1,2,4,6}:{(2,1),(3,1),(25,1),(28,1),(31,1),(32,1),(33,1),(69,1),(72,1),(74,1),(77,1),(81,1),(83,1),(120,1)}
        13:{1,5}:{(2,1),(4,1)}
        14:{1,4,7}:{(2,1),(5,1),(27,1),(35,1),(88,1)}
        15:{2,5}:{(3,1),(4,1)}
        16:{2,4,7}:{(3,1),(5,1),(30,1),(37,1),(87,1)}
        17:{4,5}:{(4,1),(8,1),(81,1)}
        18:{3,5,7}:{(4,1),(5,1),(35,1),(37,1),(38,1),(39,1)}
        19:{1,4,6}:{(6,1),(8,1),(34,1),(40,1),(41,1)}
        20:{1,5,7}:{(6,1),(9,1),(41,1),(42,1),(88,1)}
        21:{2,4,6}:{(7,1),(8,1),(36,1),(43,1),(44,1)}
        22:{2,5,7}:{(7,1),(9,1),(44,1),(45,1),(87,1)}
        23:{4,7}:{(8,1),(9,1)}
        24:{3,6,7}:{(9,1),(39,1),(42,1),(45,1),(46,1)}
        25:{1,2,6}:{(10,1),(47,1),(48,1),(49,1),(64,1),(132,1),(147,1)}
        26:{1,3,5}:{(10,1),(13,1),(48,1),(50,1),(56,1),(59,1),(92,1)}
        27:{1,3,7}:{(10,1),(14,1),(49,1),(57,1),(65,1)}
        28:{1,2,6}:{(11,1),(51,1),(52,1),(53,1),(66,1),(126,1),(149,1)}
        29:{2,3,5}:{(11,1),(15,1),(52,1),(54,1),(56,1),(61,1),(97,1)}
        30:{2,3,7}:{(11,1),(16,1),(53,1),(57,1),(67,1)}
        31:{3,6}:{(12,1),(56,1),(57,1),(92,1),(97,1)}
        32:{1,2,5}:{(12,1),(13,1),(15,1),(56,1),(89,1),(94,1),(136,1)}
        33:{1,2,4,7}:{(12,1),(14,1),(16,1),(49,1),(53,1),(57,1),(58,1),(90,1),(95,1),(102,1)}
        34:{1,4,5}:{(13,1),(17,1),(19,1),(50,1),(59,1)}
        35:{1,5,7}:{(13,1),(14,1),(18,1),(60,1)}
        36:{2,4,5}:{(15,1),(17,1),(21,1),(54,1),(61,1)}
        37:{2,5,7}:{(15,1),(16,1),(18,1),(62,1)}
        38:{4,5,7}:{(17,1),(18,1),(23,1),(63,1),(68,1),(102,1),(136,1)}
        39:{3,6}:{(18,1),(60,1),(62,1),(63,1)}
        40:{3,6}:{(19,1),(59,1),(64,1),(65,1)}
        41:{1,4,7}:{(19,1),(20,1),(23,1),(65,1)}
        42:{1,6,7}:{(20,1),(24,1),(60,1)}
        43:{3,6}:{(21,1),(61,1),(66,1),(67,1)}
        44:{2,4,7}:{(21,1),(22,1),(23,1),(67,1)}
        45:{2,6,7}:{(22,1),(24,1),(62,1)}
        46:{4,6,7}:{(23,1),(24,1),(63,1),(68,1)}
        47:{2,3,6}:{(25,1),(31,1),(69,1),(70,1),(71,1),(115,1),(137,1)}
        48:{1,2,5}:{(25,1),(26,1),(70,1),(72,1),(84,1),(140,1)}
        49:{1,2,7}:{(25,1),(27,1),(71,1),(87,1),(152,1)}
        50:{1,4}:{(26,1),(73,1),(81,1)}
        51:{1,3,6}:{(28,1),(31,1),(74,1),(75,1),(76,1),(108,1),(141,1)}
        52:{1,2,5}:{(28,1),(29,1),(75,1),(77,1),(85,1),(144,1)}
        53:{1,2,7}:{(28,1),(30,1),(76,1),(88,1),(153,1)}
        54:{2,4}:{(29,1),(78,1),(81,1)}
        55:{3,4,6}:{(31,1),(69,1),(74,1),(79,1),(80,1),(81,1),(107,1),(113,1),(116,1),(119,1),(120,1),(137,1),(141,1)}
        56:{3,5}:{(31,1),(32,1),(81,1)}
        57:{3,7}:{(31,1),(33,1)}
        58:{1,2,5,7}:{(32,1),(33,1),(35,1),(37,1),(82,1),(83,1),(106,1),(112,1)}
        59:{3,5}:{(34,1),(40,1),(73,1),(84,1)}
        60:{1,6}:{(35,1),(39,1)}
        61:{3,5}:{(36,1),(43,1),(78,1),(85,1)}
        62:{2,6}:{(37,1),(39,1)}
        63:{4,6}:{(38,1),(39,1),(86,1)}
        64:{2,6}:{(40,1),(84,1),(87,1)}
        65:{3,7}:{(40,1),(41,1),(87,1)}
        66:{1,6}:{(43,1),(85,1),(88,1)}
        67:{3,7}:{(43,1),(44,1),(88,1)}
        68:{5,7}:{(46,1),(86,1)}
        69:{2,4,6}:{(47,1),(55,1),(89,1),(90,1),(91,1),(124,1),(131,1),(149,1)}
        70:{2,3,5}:{(47,1),(48,1),(56,1),(89,1),(91,1),(92,1),(123,1)}
        71:{2,3,7}:{(47,1),(49,1),(57,1),(90,1),(148,1)}
        72:{1,2,4}:{(48,1),(50,1),(91,1),(92,1),(93,1),(125,1),(126,1)}
        73:{3,4}:{(50,1),(59,1),(92,1),(93,1)}
        74:{1,4,6}:{(51,1),(55,1),(94,1),(95,1),(96,1),(125,1),(130,1),(147,1)}
        75:{1,3,5}:{(51,1),(52,1),(56,1),(94,1),(96,1),(97,1),(129,1)}
        76:{1,3,7}:{(51,1),(53,1),(57,1),(95,1),(150,1)}
        77:{1,2,4}:{(52,1),(54,1),(96,1),(97,1),(98,1),(131,1),(132,1)}
        78:{3,4}:{(54,1),(61,1),(97,1),(98,1)}
        79:{3,5}:{(55,1),(89,1),(94,1),(100,1),(136,1)}
        80:{3,4,7}:{(55,1),(57,1),(90,1),(95,1),(101,1),(102,1),(133,1),(148,1),(150,1)}
        81:{4}:{(56,1)}
        82:{3,5,7}:{(56,1),(57,1),(58,1),(102,1),(103,1),(136,1)}
        83:{1,2,6}:{(58,1),(60,1),(62,1),(103,1),(124,1),(130,1)}
        84:{2,5}:{(59,1),(64,1),(93,1)}
        85:{1,5}:{(61,1),(66,1),(98,1)}
        86:{5,6}:{(63,1),(68,1),(136,1)}
        87:{2,7}:{(64,1),(65,1)}
        88:{1,7}:{(66,1),(67,1)}
        89:{2,5}:{(69,1),(79,1)}
        90:{2,4,7}:{(69,1),(71,1),(80,1),(106,1),(153,1)}
        91:{2,4}:{(70,1),(81,1),(107,1)}
        92:{3}:{(72,1)}
        93:{2,4}:{(73,1),(84,1),(109,1)}
        94:{1,5}:{(74,1),(79,1)}
        95:{1,4,7}:{(74,1),(76,1),(80,1),(112,1),(152,1)}
        96:{1,4}:{(75,1),(81,1),(113,1)}
        97:{3}:{(77,1)}
        98:{1,4}:{(78,1),(85,1),(114,1)}
        99:{3,5,6}:{(79,1),(104,1),(110,1),(116,1),(117,1),(119,1),(137,1),(141,1),(146,1)}
       100:{4,5}:{(79,1),(81,1),(116,1)}
       101:{3,5,7}:{(79,1),(80,1),(106,1),(112,1),(118,1),(119,1)}
       102:{4,7}:{(81,1),(82,1),(120,1)}
       103:{3,6}:{(82,1),(83,1),(120,1)}
       104:{2,5,6}:{(89,1),(99,1),(121,1),(122,1),(124,1),(149,1)}
       105:{2,4,5}:{(89,1),(91,1),(100,1),(121,1),(123,1)}
       106:{2,5,7}:{(89,1),(90,1),(101,1),(124,1)}
       107:{3,4}:{(91,1),(92,1),(123,1),(125,1)}
       108:{1,3}:{(92,1),(125,1),(126,1)}
       109:{2,3}:{(92,1),(93,1),(126,1)}
       110:{1,5,6}:{(94,1),(99,1),(127,1),(128,1),(130,1),(147,1)}
       111:{1,4,5}:{(94,1),(96,1),(100,1),(127,1),(129,1)}
       112:{1,5,7}:{(94,1),(95,1),(101,1),(130,1)}
       113:{3,4}:{(96,1),(97,1),(129,1),(131,1)}
       114:{1,3}:{(97,1),(98,1),(132,1)}
       115:{2,3}:{(97,1),(131,1),(132,1)}
       116:{4,6}:{(99,1),(100,1),(133,1)}
       117:{3,5,7}:{(99,1),(122,1),(128,1),(133,1),(134,1),(148,1),(150,1),(151,1)}
       118:{4,5,7}:{(100,1),(101,1),(102,1),(133,1),(135,1),(136,1),(151,1)}
       119:{3,6}:{(101,1),(124,1),(130,1),(135,1)}
       120:{4,6}:{(102,1),(103,1),(136,1)}
       121:{2,4,6}:{(104,1),(105,1),(116,1),(137,1),(138,1)}
       122:{2,5,7}:{(104,1),(117,1),(138,1),(139,1),(153,1)}
       123:{3,5}:{(105,1),(107,1),(137,1),(140,1)}
       124:{2,6}:{(106,1),(119,1)}
       125:{1,4}:{(107,1),(108,1),(140,1)}
       126:{1,2}:{(108,1),(109,1)}
       127:{1,4,6}:{(110,1),(111,1),(116,1),(141,1),(142,1)}
       128:{1,5,7}:{(110,1),(117,1),(142,1),(143,1),(152,1)}
       129:{3,5}:{(111,1),(113,1),(141,1),(144,1)}
       130:{1,6}:{(112,1),(119,1)}
       131:{2,4}:{(113,1),(115,1),(144,1)}
       132:{1,2}:{(114,1),(115,1)}
       133:{4,7}:{(116,1),(117,1)}
       134:{3,6,7}:{(117,1),(119,1),(139,1),(143,1),(145,1)}
       135:{4,6}:{(118,1),(119,1),(146,1)}
       136:{5}:{(120,1)}
       137:{3,6}:{(121,1),(123,1),(147,1),(148,1)}
       138:{2,4,7}:{(121,1),(122,1),(133,1),(148,1)}
       139:{2,6,7}:{(122,1),(124,1),(134,1)}
       140:{1,5}:{(123,1),(125,1),(147,1)}
       141:{3,6}:{(127,1),(129,1),(149,1),(150,1)}
       142:{1,4,7}:{(127,1),(128,1),(133,1),(150,1)}
       143:{1,6,7}:{(128,1),(130,1),(134,1)}
       144:{2,5}:{(129,1),(131,1),(149,1)}
       145:{4,6,7}:{(133,1),(134,1),(135,1),(151,1)}
       146:{5,6}:{(135,1),(136,1),(151,1)}
       147:{1,6}:{(137,1),(140,1),(152,1)}
       148:{3,7}:{(137,1),(138,1),(152,1)}
       149:{2,6}:{(141,1),(144,1),(153,1)}
       150:{3,7}:{(141,1),(142,1),(153,1)}
       151:{5,7}:{(145,1),(146,1)}
       152:{1,7}:{(147,1),(148,1)}
       153:{2,7}:{(149,1),(150,1)}

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

 195 :  0:{4,5,6}:{(1,1),(2,1),(37,1),(81,1)}
        1:{3,5,6}:{(0,1),(3,1),(4,1),(5,1),(6,1)}
        2:{4,5,7}:{(0,1),(6,1),(7,1),(52,1),(77,1)}
        3:{3,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(35,1),(37,1)}
        4:{1,5,6}:{(1,1),(9,1),(13,1)}
        5:{2,5,6}:{(1,1),(10,1),(14,1)}
        6:{3,5,7}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1)}
        7:{4,6,7}:{(2,1),(15,1),(16,1)}
        8:{3,4,5}:{(3,1),(17,1),(18,1),(44,1),(51,1)}
        9:{1,4,6}:{(3,1),(4,1),(17,1),(19,1),(22,1)}
       10:{2,4,6}:{(3,1),(5,1),(18,1),(20,1),(23,1)}
       11:{3,4,7}:{(3,1),(6,1),(22,1),(23,1),(50,1),(52,1)}
       12:{1,2,5,6}:{(4,1),(5,1),(21,1),(24,1),(25,1),(71,1),(73,1),(82,1),(83,1)}
       13:{1,5,7}:{(4,1),(6,1),(22,1),(26,1)}
       14:{2,5,7}:{(5,1),(6,1),(23,1),(27,1)}
       15:{3,6,7}:{(6,1),(7,1),(26,1),(27,1)}
       16:{5,6,7}:{(7,1),(77,1)}
       17:{1,4,5}:{(8,1),(9,1),(28,1)}
       18:{2,4,5}:{(8,1),(10,1),(29,1)}
       19:{1,3,6}:{(9,1),(28,1),(31,1),(32,1),(35,1)}
       20:{2,3,6}:{(10,1),(29,1),(33,1),(34,1),(35,1)}
       21:{1,2,4,6}:{(9,1),(10,1),(12,1),(30,1),(31,1),(33,1),(35,1),(36,1),(37,1),(59,1),(61,1)}
       22:{1,4,7}:{(9,1),(11,1),(13,1),(32,1)}
       23:{2,4,7}:{(10,1),(11,1),(14,1),(34,1)}
       24:{3,5,6}:{(12,1),(35,1),(37,1),(38,1),(63,1),(80,1),(81,1)}
       25:{1,2,5,7}:{(12,1),(13,1),(14,1),(36,1),(38,1),(39,1),(78,1),(79,1)}
       26:{1,6,7}:{(13,1),(15,1)}
       27:{2,6,7}:{(14,1),(15,1)}
       28:{1,3,5}:{(17,1),(19,1),(40,1),(42,1),(44,1)}
       29:{2,3,5}:{(18,1),(20,1),(41,1),(43,1),(44,1)}
       30:{1,2,4,5}:{(17,1),(18,1),(21,1),(42,1),(43,1),(44,1),(51,1),(69,1),(70,1),(71,1),(73,1)}
       31:{1,2,6}:{(19,1),(42,1),(45,1),(46,1)}
       32:{1,3,7}:{(19,1),(22,1),(46,1),(50,1)}
       33:{1,2,6}:{(20,1),(43,1),(47,1),(48,1)}
       34:{2,3,7}:{(20,1),(23,1),(48,1),(50,1)}
       35:{3,6}:{(21,1),(44,1),(50,1)}
       36:{1,2,4,7}:{(21,1),(22,1),(23,1),(25,1),(46,1),(48,1),(50,1),(52,1),(72,1),(74,1)}
       37:{4,6}:{(24,1),(51,1),(52,1)}
       38:{3,5,7}:{(24,1),(25,1),(50,1),(52,1),(53,1),(77,1)}
       39:{1,2,6,7}:{(25,1),(26,1),(27,1),(53,1),(82,1),(83,1)}
       40:{1,3,4}:{(28,1),(54,1),(58,1)}
       41:{2,3,4}:{(29,1),(55,1),(58,1)}
       42:{1,2,5}:{(28,1),(31,1),(54,1),(56,1)}
       43:{1,2,5}:{(29,1),(33,1),(55,1),(57,1)}
       44:{3,5}:{(30,1),(35,1),(58,1)}
       45:{2,3,6}:{(31,1),(35,1),(56,1),(59,1),(60,1)}
       46:{1,2,7}:{(31,1),(32,1),(60,1)}
       47:{1,3,6}:{(33,1),(35,1),(57,1),(61,1),(62,1)}
       48:{1,2,7}:{(33,1),(34,1),(62,1)}
       49:{3,4,6}:{(35,1),(37,1),(58,1),(59,1),(61,1),(63,1),(64,1),(80,1)}
       50:{3,7}:{(35,1),(36,1)}
       51:{4,5}:{(37,1),(63,1)}
       52:{4,7}:{(37,1),(38,1)}
       53:{3,6,7}:{(38,1),(39,1),(66,1),(80,1)}
       54:{1,2,4}:{(40,1),(42,1),(67,1),(69,1)}
       55:{1,2,4}:{(41,1),(43,1),(68,1),(70,1)}
       56:{2,3,5}:{(42,1),(44,1),(45,1),(67,1),(69,1),(71,1)}
       57:{1,3,5}:{(43,1),(44,1),(47,1),(68,1),(70,1),(73,1)}
       58:{3,4}:{(44,1),(69,1),(70,1)}
       59:{2,4,6}:{(45,1),(49,1),(69,1),(71,1),(72,1),(82,1)}
       60:{2,3,7}:{(45,1),(46,1),(50,1),(72,1)}
       61:{1,4,6}:{(47,1),(49,1),(70,1),(73,1),(74,1),(83,1)}
       62:{1,3,7}:{(47,1),(48,1),(50,1),(74,1)}
       63:{3,5}:{(49,1),(51,1),(71,1),(73,1)}
       64:{3,4,7}:{(49,1),(50,1),(52,1),(72,1),(74,1),(75,1)}
       65:{4,5,7}:{(51,1),(52,1),(75,1),(76,1),(77,1)}
       66:{4,6,7}:{(52,1),(53,1),(76,1),(77,1)}
       67:{2,3}:{(54,1)}
       68:{1,3}:{(55,1)}
       69:{2,4}:{(56,1),(58,1)}
       70:{1,4}:{(57,1),(58,1)}
       71:{2,5}:{(59,1),(63,1)}
       72:{2,4,7}:{(59,1),(60,1),(64,1),(78,1)}
       73:{1,5}:{(61,1),(63,1)}
       74:{1,4,7}:{(61,1),(62,1),(64,1),(79,1)}
       75:{3,5,7}:{(63,1),(64,1),(65,1),(78,1),(79,1),(80,1)}
       76:{4,6}:{(65,1),(80,1),(81,1)}
       77:{5,7}:{(66,1),(81,1)}
       78:{2,5,7}:{(71,1),(72,1),(75,1),(82,1)}
       79:{1,5,7}:{(73,1),(74,1),(75,1),(83,1)}
       80:{3,6}:{(75,1),(76,1),(82,1),(83,1)}
       81:{5,6}:{(76,1),(77,1)}
       82:{2,6}:{(78,1),(80,1)}
       83:{1,6}:{(79,1),(80,1)}

 196 :  0:{1,2,6}:{(1,1),(2,1),(3,1),(31,1),(32,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,2,5}:{(0,1),(5,1),(7,1),(28,1),(29,1)}
        3:{1,2,7}:{(0,1),(6,1),(37,1),(38,1)}
        4:{4,6}:{(1,1),(8,1),(9,1),(10,1),(21,1)}
        5:{3,5}:{(1,1),(2,1),(8,1),(10,1),(11,1)}
        6:{3,7}:{(1,1),(3,1),(9,1)}
        7:{1,2,4}:{(2,1),(10,1),(11,1),(22,1),(23,1),(24,1)}
        8:{5}:{(4,1)}
        9:{4,7}:{(4,1),(6,1),(14,1)}
       10:{4}:{(5,1)}
       11:{3}:{(7,1)}
       12:{5,6}:{(8,1),(18,1),(19,1),(21,1),(45,1),(48,1)}
       13:{4,5}:{(8,1),(10,1),(18,1),(20,1),(42,1),(45,1)}
       14:{5,7}:{(8,1),(9,1),(21,1)}
       15:{3,4}:{(10,1),(11,1),(20,1),(22,1),(23,1),(35,1),(42,1)}
       16:{1,3}:{(11,1),(22,1),(24,1),(35,1)}
       17:{2,3}:{(11,1),(23,1),(24,1),(35,1)}
       18:{4,6}:{(12,1),(13,1),(25,1),(26,1)}
       19:{5,7}:{(12,1),(26,1),(27,1)}
       20:{3,5}:{(13,1),(15,1),(25,1),(28,1),(29,1)}
       21:{6}:{(14,1)}
       22:{1,4}:{(15,1),(16,1),(28,1)}
       23:{2,4}:{(15,1),(17,1),(29,1)}
       24:{1,2}:{(16,1),(17,1)}
       25:{3,6}:{(18,1),(20,1),(31,1),(32,1),(33,1)}
       26:{4,7}:{(18,1),(19,1),(33,1)}
       27:{6,7}:{(19,1),(21,1),(48,1)}
       28:{1,5}:{(20,1),(22,1),(31,1)}
       29:{2,5}:{(20,1),(23,1),(32,1)}
       30:{1,2,4}:{(22,1),(23,1),(24,1),(34,1),(35,1),(42,1)}
       31:{1,6}:{(25,1),(28,1),(37,1)}
       32:{2,6}:{(25,1),(29,1),(38,1)}
       33:{3,7}:{(25,1),(26,1),(37,1),(38,1)}
       34:{1,2,5}:{(28,1),(29,1),(30,1),(36,1),(39,1)}
       35:{3}:{(30,1)}
       36:{1,2,6}:{(31,1),(32,1),(34,1),(40,1),(41,1)}
       37:{1,7}:{(31,1),(33,1)}
       38:{2,7}:{(32,1),(33,1)}
       39:{3,5}:{(34,1),(35,1),(40,1),(42,1),(45,1)}
       40:{3,6}:{(36,1),(39,1),(43,1),(44,1)}
       41:{1,2,7}:{(36,1),(37,1),(38,1),(44,1)}
       42:{4}:{(39,1)}
       43:{4,6}:{(40,1),(42,1),(45,1),(46,1),(48,1)}
       44:{3,7}:{(40,1),(41,1),(46,1)}
       45:{5}:{(43,1)}
       46:{4,7}:{(43,1),(44,1),(47,1)}
       47:{5,7}:{(45,1),(46,1),(48,1)}
       48:{6}:{(47,1)}

 197 :  0:{1,2,7}:{(1,1),(2,1),(36,1),(37,1)}
        1:{3,7}:{(0,1),(3,1),(4,1)}
        2:{1,2,6}:{(0,1),(4,1),(5,1),(32,1),(33,1)}
        3:{4,7}:{(1,1),(6,1),(7,1)}
        4:{3,6}:{(1,1),(2,1),(7,1),(8,1)}
        5:{1,2,5}:{(2,1),(8,1),(9,1),(28,1),(29,1)}
        6:{5,7}:{(3,1),(10,1),(11,1)}
        7:{4,6}:{(3,1),(4,1),(10,1),(11,1),(12,1)}
        8:{3,5}:{(4,1),(5,1),(11,1),(12,1),(13,1)}
        9:{1,2,4}:{(5,1),(12,1),(13,1),(23,1),(24,1),(25,1)}
       10:{6}:{(6,1)}
       11:{5}:{(7,1)}
       12:{4}:{(8,1)}
       13:{3}:{(9,1)}
       14:{6,7}:{(10,1),(20,1),(48,1)}
       15:{5,6}:{(10,1),(11,1),(20,1),(21,1),(46,1),(48,1)}
       16:{4,5}:{(11,1),(12,1),(21,1),(22,1),(42,1),(46,1)}
       17:{3,4}:{(12,1),(13,1),(22,1),(23,1),(24,1),(35,1),(42,1)}
       18:{1,3}:{(13,1),(23,1),(25,1),(35,1)}
       19:{2,3}:{(13,1),(24,1),(25,1),(35,1)}
       20:{5,7}:{(14,1),(15,1),(26,1)}
       21:{4,6}:{(15,1),(16,1),(26,1),(27,1)}
       22:{3,5}:{(16,1),(17,1),(27,1),(28,1),(29,1)}
       23:{1,4}:{(17,1),(18,1),(28,1)}
       24:{2,4}:{(17,1),(19,1),(29,1)}
       25:{1,2}:{(18,1),(19,1)}
       26:{4,7}:{(20,1),(21,1),(31,1)}
       27:{3,6}:{(21,1),(22,1),(31,1),(32,1),(33,1)}
       28:{1,5}:{(22,1),(23,1),(32,1)}
       29:{2,5}:{(22,1),(24,1),(33,1)}
       30:{1,2,4}:{(23,1),(24,1),(25,1),(34,1),(35,1),(42,1)}
       31:{3,7}:{(26,1),(27,1),(36,1),(37,1)}
       32:{1,6}:{(27,1),(28,1),(36,1)}
       33:{2,6}:{(27,1),(29,1),(37,1)}
       34:{1,2,5}:{(28,1),(29,1),(30,1),(38,1),(39,1)}
       35:{3}:{(30,1)}
       36:{1,7}:{(31,1),(32,1)}
       37:{2,7}:{(31,1),(33,1)}
       38:{1,2,6}:{(32,1),(33,1),(34,1),(40,1),(41,1)}
       39:{3,5}:{(34,1),(35,1),(41,1),(42,1),(46,1)}
       40:{1,2,7}:{(36,1),(37,1),(38,1),(43,1)}
       41:{3,6}:{(38,1),(39,1),(43,1),(44,1)}
       42:{4}:{(39,1)}
       43:{3,7}:{(40,1),(41,1),(45,1)}
       44:{4,6}:{(41,1),(42,1),(45,1),(46,1),(48,1)}
       45:{4,7}:{(43,1),(44,1),(47,1)}
       46:{5}:{(44,1)}
       47:{5,7}:{(45,1),(46,1),(48,1)}
       48:{6}:{(47,1)}

 198 :  0:{3,5,7}:{(1,1),(2,1),(3,1),(4,1),(10,1),(12,1),(14,1),(22,1),(24,1)}
        1:{1,5,7}:{(0,1),(5,1),(6,1),(17,1),(18,1),(27,1)}
        2:{2,5,7}:{(0,1),(7,1),(8,1),(15,1),(20,1),(25,1)}
        3:{4,7}:{(0,1),(9,1),(26,1),(28,1)}
        4:{3,6}:{(0,1),(6,1),(8,1),(9,1)}
        5:{1,4,7}:{(1,1),(3,1),(10,1),(11,1),(30,1)}
        6:{1,6}:{(1,1),(4,1)}
        7:{2,4,7}:{(2,1),(3,1),(12,1),(13,1),(29,1)}
        8:{2,6}:{(2,1),(4,1)}
        9:{4,6}:{(3,1),(4,1),(14,1)}
       10:{3,7}:{(5,1),(15,1),(16,1),(32,1)}
       11:{1,4,6}:{(5,1),(6,1),(9,1),(16,1),(17,1),(26,1)}
       12:{3,7}:{(7,1),(18,1),(19,1),(31,1)}
       13:{2,4,6}:{(7,1),(8,1),(9,1),(19,1),(20,1),(28,1)}
       14:{5}:{(9,1)}
       15:{2,7}:{(10,1),(21,1),(34,1)}
       16:{3,6}:{(10,1),(11,1),(21,1),(22,1)}
       17:{1,5}:{(11,1),(14,1),(22,1),(33,1)}
       18:{1,7}:{(12,1),(23,1),(33,1)}
       19:{3,6}:{(12,1),(13,1),(23,1),(24,1)}
       20:{2,5}:{(13,1),(14,1),(24,1),(34,1)}
       21:{2,6}:{(15,1),(16,1),(25,1)}
       22:{3,5}:{(16,1),(17,1),(25,1),(26,1),(31,1)}
       23:{1,6}:{(18,1),(19,1),(27,1)}
       24:{3,5}:{(19,1),(20,1),(27,1),(28,1),(32,1)}
       25:{2,5}:{(21,1),(22,1),(29,1)}
       26:{4}:{(22,1)}
       27:{1,5}:{(23,1),(24,1),(30,1)}
       28:{4}:{(24,1)}
       29:{2,4}:{(25,1),(26,1),(31,1)}
       30:{1,4}:{(27,1),(28,1),(32,1)}
       31:{3}:{(29,1),(33,1)}
       32:{3}:{(30,1),(34,1)}
       33:{1}:{(31,1)}
       34:{2}:{(32,1)}

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

 200 :  0:{5,6,7}:{(1,1),(39,1)}
        1:{4,6,7}:{(0,1),(2,1),(3,1)}
        2:{4,5,7}:{(1,1),(4,1),(5,1),(38,1),(39,1)}
        3:{3,6,7}:{(1,1),(5,1),(6,1),(7,1)}
        4:{4,5,6}:{(2,1),(8,1),(46,1),(51,1)}
        5:{3,5,7}:{(2,1),(3,1),(8,1),(9,1),(10,1),(11,1)}
        6:{1,6,7}:{(3,1),(10,1)}
        7:{2,6,7}:{(3,1),(11,1)}
        8:{3,5,6}:{(4,1),(5,1),(13,1),(14,1),(15,1)}
        9:{3,4,7}:{(5,1),(13,1),(16,1),(17,1),(37,1),(38,1)}
       10:{1,5,7}:{(5,1),(6,1),(14,1),(16,1)}
       11:{2,5,7}:{(5,1),(7,1),(15,1),(17,1)}
       12:{1,2,6,7}:{(6,1),(7,1),(18,1),(19,1),(82,1),(83,1)}
       13:{3,4,6}:{(8,1),(9,1),(20,1),(21,1),(22,1),(45,1),(46,1)}
       14:{1,5,6}:{(8,1),(10,1),(21,1)}
       15:{2,5,6}:{(8,1),(11,1),(22,1)}
       16:{1,4,7}:{(9,1),(10,1),(21,1),(24,1)}
       17:{2,4,7}:{(9,1),(11,1),(22,1),(25,1)}
       18:{1,2,5,7}:{(10,1),(11,1),(12,1),(23,1),(26,1),(27,1),(73,1),(74,1)}
       19:{3,6,7}:{(12,1),(27,1),(28,1),(75,1)}
       20:{3,4,5}:{(13,1),(29,1),(30,1),(56,1),(60,1)}
       21:{1,4,6}:{(13,1),(14,1),(16,1),(29,1),(31,1)}
       22:{2,4,6}:{(13,1),(15,1),(17,1),(30,1),(32,1)}
       23:{1,2,5,6}:{(14,1),(15,1),(18,1),(33,1),(34,1),(80,1),(81,1),(82,1),(83,1)}
       24:{1,3,7}:{(16,1),(31,1),(35,1),(37,1)}
       25:{2,3,7}:{(17,1),(32,1),(36,1),(37,1)}
       26:{1,2,4,7}:{(16,1),(17,1),(18,1),(33,1),(35,1),(36,1),(37,1),(38,1),(61,1),(62,1)}
       27:{3,5,7}:{(18,1),(19,1),(34,1),(37,1),(38,1),(39,1)}
       28:{4,6,7}:{(19,1),(38,1),(39,1),(64,1)}
       29:{1,4,5}:{(20,1),(21,1),(40,1)}
       30:{2,4,5}:{(20,1),(22,1),(41,1)}
       31:{1,3,6}:{(21,1),(24,1),(40,1),(43,1),(45,1)}
       32:{2,3,6}:{(22,1),(25,1),(41,1),(44,1),(45,1)}
       33:{1,2,4,6}:{(21,1),(22,1),(23,1),(26,1),(42,1),(43,1),(44,1),(45,1),(46,1),(70,1),(71,1)}
       34:{3,5,6}:{(23,1),(27,1),(45,1),(46,1),(51,1),(72,1),(75,1)}
       35:{1,2,7}:{(24,1),(43,1),(47,1)}
       36:{1,2,7}:{(25,1),(44,1),(48,1)}
       37:{3,7}:{(26,1),(45,1)}
       38:{4,7}:{(27,1),(46,1)}
       39:{5,7}:{(28,1),(51,1)}
       40:{1,3,5}:{(29,1),(31,1),(52,1),(54,1),(56,1)}
       41:{2,3,5}:{(30,1),(32,1),(53,1),(55,1),(56,1)}
       42:{1,2,4,5}:{(29,1),(30,1),(33,1),(54,1),(55,1),(56,1),(60,1),(78,1),(79,1),(80,1),(81,1)}
       43:{1,2,6}:{(31,1),(35,1),(54,1),(57,1)}
       44:{1,2,6}:{(32,1),(36,1),(55,1),(58,1)}
       45:{3,6}:{(33,1),(37,1),(56,1)}
       46:{4,6}:{(34,1),(38,1),(60,1)}
       47:{2,3,7}:{(35,1),(37,1),(57,1),(61,1)}
       48:{1,3,7}:{(36,1),(37,1),(58,1),(62,1)}
       49:{3,4,7}:{(37,1),(38,1),(59,1),(61,1),(62,1),(63,1)}
       50:{4,5,7}:{(38,1),(39,1),(60,1),(63,1),(64,1)}
       51:{5,6}:{(39,1),(64,1)}
       52:{1,3,4}:{(40,1),(65,1),(69,1)}
       53:{2,3,4}:{(41,1),(66,1),(69,1)}
       54:{1,2,5}:{(40,1),(43,1),(65,1),(67,1)}
       55:{1,2,5}:{(41,1),(44,1),(66,1),(68,1)}
       56:{3,5}:{(42,1),(45,1),(69,1)}
       57:{2,3,6}:{(43,1),(45,1),(47,1),(67,1),(70,1)}
       58:{1,3,6}:{(44,1),(45,1),(48,1),(68,1),(71,1)}
       59:{3,4,6}:{(45,1),(46,1),(49,1),(69,1),(70,1),(71,1),(72,1),(75,1)}
       60:{4,5}:{(46,1),(72,1)}
       61:{2,4,7}:{(47,1),(49,1),(70,1),(73,1)}
       62:{1,4,7}:{(48,1),(49,1),(71,1),(74,1)}
       63:{3,5,7}:{(49,1),(50,1),(72,1),(73,1),(74,1),(75,1)}
       64:{4,6}:{(50,1),(51,1),(75,1)}
       65:{1,2,4}:{(52,1),(54,1),(76,1),(78,1)}
       66:{1,2,4}:{(53,1),(55,1),(77,1),(79,1)}
       67:{2,3,5}:{(54,1),(56,1),(57,1),(76,1),(78,1),(80,1)}
       68:{1,3,5}:{(55,1),(56,1),(58,1),(77,1),(79,1),(81,1)}
       69:{3,4}:{(56,1),(78,1),(79,1)}
       70:{2,4,6}:{(57,1),(59,1),(61,1),(78,1),(80,1),(82,1)}
       71:{1,4,6}:{(58,1),(59,1),(62,1),(79,1),(81,1),(83,1)}
       72:{3,5}:{(59,1),(60,1),(80,1),(81,1)}
       73:{2,5,7}:{(61,1),(63,1),(80,1),(82,1)}
       74:{1,5,7}:{(62,1),(63,1),(81,1),(83,1)}
       75:{3,6}:{(63,1),(64,1),(82,1),(83,1)}
       76:{2,3}:{(65,1)}
       77:{1,3}:{(66,1)}
       78:{2,4}:{(67,1),(69,1)}
       79:{1,4}:{(68,1),(69,1)}
       80:{2,5}:{(70,1),(72,1)}
       81:{1,5}:{(71,1),(72,1)}
       82:{2,6}:{(73,1),(75,1)}
       83:{1,6}:{(74,1),(75,1)}

 201 : 0:{1,2}:{(1,1)}
       1:{3}:{(0,1),(2,1)}
       2:{4}:{(1,1),(3,1)}
       3:{5}:{(2,1),(4,1)}
       4:{6}:{(3,1),(5,1)}
       5:{7}:{(4,1)}

 202 :   0:{1,2,3,5}:{(1,1),(2,1),(7,1),(12,1),(27,1),(33,1)}
         1:{1,2,4}:{(0,1),(4,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(17,1),(43,1)}
         3:{1,2,4,5}:{(1,1),(7,1),(8,1),(12,1),(24,1),(25,1),(27,1),(34,1)}
         4:{3,4}:{(1,1),(7,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(13,1),(36,1)}
         6:{1,2,3,7}:{(2,1),(13,1),(31,1),(61,1)}
         7:{3,5}:{(3,1),(4,1),(17,1)}
         8:{1,2,4,6}:{(3,1),(17,1),(18,1),(19,1),(38,1),(39,1),(43,1),(46,1)}
         9:{1,3,4}:{(4,1),(15,1),(20,1),(65,1)}
        10:{2,3,4}:{(4,1),(16,1),(20,1),(65,1)}
        11:{3,4,6}:{(4,1),(5,1),(17,1),(21,1),(22,1),(46,1),(50,1)}
        12:{1,2,5}:{(5,1),(21,1)}
        13:{1,2,4,7}:{(5,1),(6,1),(22,1),(23,1)}
        14:{3,4,5}:{(7,1),(24,1),(25,1),(26,1),(34,1),(51,1),(94,1)}
        15:{1,3,5}:{(7,1),(9,1),(24,1),(27,1),(28,1),(51,1)}
        16:{2,3,5}:{(7,1),(10,1),(25,1),(27,1),(29,1),(51,1)}
        17:{3,6}:{(7,1),(8,1),(31,1)}
        18:{1,2,5,6}:{(8,1),(12,1),(30,1),(32,1),(36,1),(53,1),(55,1)}
        19:{1,2,4,7}:{(8,1),(31,1),(32,1),(54,1),(56,1),(61,1),(62,1)}
        20:{1,2,4}:{(9,1),(10,1),(27,1),(33,1)}
        21:{3,5}:{(11,1),(12,1),(34,1)}
        22:{3,4,7}:{(11,1),(13,1),(31,1),(35,1),(62,1)}
        23:{1,2,5,7}:{(12,1),(13,1),(35,1),(36,1)}
        24:{1,4,5}:{(14,1),(15,1),(38,1)}
        25:{2,4,5}:{(14,1),(16,1),(39,1)}
        26:{3,4,6}:{(14,1),(17,1),(38,1),(39,1),(40,1),(41,1),(46,1),(66,1),(89,1)}
        27:{1,2,5}:{(15,1),(16,1),(20,1),(43,1)}
        28:{1,3,6}:{(15,1),(17,1),(38,1),(43,1),(44,1),(66,1)}
        29:{2,3,6}:{(16,1),(17,1),(39,1),(43,1),(45,1),(66,1)}
        30:{3,5,6}:{(17,1),(18,1),(21,1),(46,1),(47,1),(50,1),(76,1)}
        31:{3,7}:{(17,1),(19,1)}
        32:{1,2,5,7}:{(18,1),(19,1),(47,1),(48,1),(69,1),(70,1)}
        33:{1,2,3}:{(20,1)}
        34:{4,5}:{(21,1),(46,1)}
        35:{3,5,7}:{(21,1),(22,1),(23,1),(49,1),(50,1)}
        36:{1,2,6}:{(23,1),(50,1)}
        37:{1,2,4,5}:{(24,1),(25,1),(27,1),(51,1),(52,1),(59,1),(84,1),(94,1)}
        38:{1,4,6}:{(24,1),(26,1),(28,1),(53,1),(54,1)}
        39:{2,4,6}:{(25,1),(26,1),(29,1),(55,1),(56,1)}
        40:{3,5,6}:{(26,1),(53,1),(55,1),(57,1),(58,1)}
        41:{3,4,7}:{(26,1),(31,1),(54,1),(56,1),(58,1),(62,1),(79,1),(96,1)}
        42:{1,2,3,5}:{(27,1),(33,1),(51,1),(59,1),(60,1),(84,1)}
        43:{1,2,6}:{(27,1),(28,1),(29,1),(61,1)}
        44:{1,3,7}:{(28,1),(31,1),(54,1),(61,1),(79,1)}
        45:{2,3,7}:{(29,1),(31,1),(56,1),(61,1),(79,1)}
        46:{4,6}:{(30,1),(34,1),(62,1)}
        47:{3,5,7}:{(30,1),(31,1),(32,1),(62,1),(63,1),(86,1)}
        48:{1,2,6,7}:{(32,1),(36,1),(63,1),(81,1),(82,1)}
        49:{4,5,7}:{(34,1),(35,1),(62,1),(64,1),(86,1)}
        50:{3,6}:{(35,1),(36,1),(64,1)}
        51:{3,5}:{(37,1),(65,1),(66,1)}
        52:{1,2,4,6}:{(37,1),(38,1),(39,1),(43,1),(66,1),(67,1),(68,1),(89,1)}
        53:{1,5,6}:{(38,1),(40,1),(69,1)}
        54:{1,4,7}:{(38,1),(41,1),(44,1),(69,1)}
        55:{2,5,6}:{(39,1),(40,1),(70,1)}
        56:{2,4,7}:{(39,1),(41,1),(45,1),(70,1)}
        57:{4,5,6}:{(40,1),(46,1),(71,1),(76,1),(89,1),(104,1)}
        58:{3,5,7}:{(40,1),(41,1),(69,1),(70,1),(71,1),(72,1)}
        59:{1,2,4}:{(42,1),(65,1)}
        60:{1,2,3,6}:{(42,1),(43,1),(66,1),(73,1),(74,1)}
        61:{1,2,7}:{(43,1),(44,1),(45,1)}
        62:{4,7}:{(46,1),(47,1)}
        63:{3,6,7}:{(47,1),(48,1),(50,1),(75,1)}
        64:{4,6}:{(49,1),(50,1),(76,1)}
        65:{3,4}:{(51,1),(59,1)}
        66:{3,6}:{(51,1),(52,1),(79,1)}
        67:{1,2,5,6}:{(52,1),(53,1),(55,1),(78,1),(80,1),(84,1),(98,1)}
        68:{1,2,4,7}:{(52,1),(54,1),(56,1),(61,1),(79,1),(80,1),(96,1)}
        69:{1,5,7}:{(53,1),(54,1),(58,1),(81,1)}
        70:{2,5,7}:{(55,1),(56,1),(58,1),(82,1)}
        71:{4,5,7}:{(57,1),(58,1),(62,1),(83,1),(86,1),(96,1),(103,1)}
        72:{3,6,7}:{(58,1),(81,1),(82,1),(83,1)}
        73:{1,2,4,6}:{(59,1),(60,1),(77,1),(84,1),(85,1),(98,1)}
        74:{1,2,3,7}:{(60,1),(61,1),(79,1),(85,1)}
        75:{4,6,7}:{(62,1),(63,1),(64,1),(86,1)}
        76:{5,6}:{(64,1),(86,1)}
        77:{3,4,6}:{(65,1),(66,1),(73,1),(87,1),(88,1),(89,1),(100,1)}
        78:{3,5,6}:{(66,1),(67,1),(87,1),(89,1),(90,1),(100,1),(104,1)}
        79:{3,7}:{(66,1),(68,1)}
        80:{1,2,5,7}:{(67,1),(68,1),(69,1),(70,1),(90,1),(91,1)}
        81:{1,6,7}:{(69,1),(72,1)}
        82:{2,6,7}:{(70,1),(72,1)}
        83:{4,6,7}:{(71,1),(72,1),(92,1)}
        84:{1,2,5}:{(73,1),(87,1)}
        85:{1,2,4,7}:{(73,1),(74,1),(88,1),(93,1)}
        86:{5,7}:{(75,1),(76,1)}
        87:{3,5}:{(77,1),(84,1),(94,1)}
        88:{3,4,7}:{(77,1),(79,1),(85,1),(95,1),(96,1)}
        89:{4,6}:{(78,1),(94,1),(96,1)}
        90:{3,5,7}:{(78,1),(79,1),(80,1),(96,1),(97,1),(103,1)}
        91:{1,2,6,7}:{(80,1),(81,1),(82,1),(97,1),(98,1)}
        92:{5,6,7}:{(83,1),(86,1),(103,1)}
        93:{1,2,5,7}:{(84,1),(85,1),(95,1),(98,1)}
        94:{4,5}:{(87,1),(89,1)}
        95:{3,5,7}:{(87,1),(88,1),(93,1),(99,1),(100,1)}
        96:{4,7}:{(89,1),(90,1)}
        97:{3,6,7}:{(90,1),(91,1),(100,1),(101,1)}
        98:{1,2,6}:{(93,1),(100,1)}
        99:{4,5,7}:{(94,1),(95,1),(96,1),(102,1),(103,1)}
       100:{3,6}:{(95,1),(98,1),(102,1)}
       101:{4,6,7}:{(96,1),(97,1),(102,1),(103,1)}
       102:{4,6}:{(99,1),(100,1),(104,1)}
       103:{5,7}:{(101,1),(104,1)}
       104:{5,6}:{(102,1),(103,1)}

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

 204 :   0:{1,2,3,7}:{(1,1),(2,1),(44,1),(68,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(4,1),(5,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(34,1),(58,1)}
         3:{3,4,7}:{(1,1),(7,1),(8,1),(40,1),(44,1)}
         4:{1,2,5,7}:{(1,1),(7,1),(9,1),(10,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(9,1),(10,1),(11,1)}
         6:{1,2,3,5}:{(2,1),(10,1),(11,1),(25,1),(47,1),(48,1)}
         7:{3,5,7}:{(3,1),(4,1),(12,1),(13,1),(14,1)}
         8:{3,4,6}:{(3,1),(5,1),(13,1),(14,1),(18,1),(31,1),(34,1)}
         9:{1,2,6}:{(4,1),(13,1)}
        10:{1,2,5}:{(5,1),(14,1)}
        11:{1,2,4}:{(6,1),(18,1)}
        12:{4,5,7}:{(7,1),(19,1),(22,1),(38,1),(40,1)}
        13:{3,6}:{(7,1),(9,1),(19,1)}
        14:{3,5}:{(8,1),(10,1),(22,1)}
        15:{1,2,6,7}:{(9,1),(20,1),(23,1),(80,1),(81,1)}
        16:{1,2,5,6}:{(9,1),(10,1),(21,1),(23,1),(24,1),(62,1),(63,1)}
        17:{1,2,4,5}:{(10,1),(11,1),(22,1),(24,1),(25,1),(42,1),(43,1),(47,1)}
        18:{3,4}:{(11,1),(25,1)}
        19:{4,6}:{(12,1),(13,1),(29,1)}
        20:{3,6,7}:{(13,1),(15,1),(28,1),(30,1)}
        21:{3,5,6}:{(13,1),(14,1),(16,1),(29,1),(30,1),(31,1),(34,1)}
        22:{4,5}:{(14,1),(31,1)}
        23:{1,2,5,7}:{(15,1),(16,1),(30,1),(33,1),(72,1),(73,1)}
        24:{1,2,4,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(53,1),(54,1),(58,1)}
        25:{3,5}:{(17,1),(18,1),(34,1)}
        26:{1,3,4}:{(18,1),(35,1),(37,1),(77,1)}
        27:{2,3,4}:{(18,1),(36,1),(37,1),(77,1)}
        28:{4,6,7}:{(19,1),(20,1),(38,1),(40,1)}
        29:{5,6}:{(19,1),(38,1)}
        30:{3,5,7}:{(20,1),(21,1),(23,1),(38,1),(40,1),(44,1)}
        31:{4,6}:{(21,1),(22,1),(40,1)}
        32:{3,4,5}:{(22,1),(25,1),(41,1),(42,1),(43,1),(67,1),(96,1)}
        33:{1,2,4,7}:{(23,1),(24,1),(40,1),(44,1),(64,1),(65,1),(68,1)}
        34:{3,6}:{(24,1),(25,1),(44,1)}
        35:{1,3,5}:{(25,1),(26,1),(42,1),(45,1),(47,1),(67,1)}
        36:{2,3,5}:{(25,1),(27,1),(43,1),(46,1),(47,1),(67,1)}
        37:{1,2,4}:{(26,1),(27,1),(47,1),(48,1)}
        38:{5,7}:{(28,1),(29,1)}
        39:{4,5,6}:{(29,1),(31,1),(50,1),(51,1),(90,1),(104,1)}
        40:{4,7}:{(30,1),(31,1)}
        41:{3,4,6}:{(31,1),(32,1),(34,1),(51,1),(52,1),(53,1),(54,1),(76,1),(90,1)}
        42:{1,4,5}:{(32,1),(35,1),(53,1)}
        43:{2,4,5}:{(32,1),(36,1),(54,1)}
        44:{3,7}:{(33,1),(34,1)}
        45:{1,3,6}:{(34,1),(35,1),(53,1),(56,1),(58,1),(76,1)}
        46:{2,3,6}:{(34,1),(36,1),(54,1),(57,1),(58,1),(76,1)}
        47:{1,2,5}:{(35,1),(36,1),(37,1),(58,1)}
        48:{1,2,3}:{(37,1)}
        49:{5,6,7}:{(38,1),(60,1),(102,1)}
        50:{4,5,7}:{(38,1),(39,1),(40,1),(60,1),(61,1),(95,1),(102,1)}
        51:{3,5,6}:{(39,1),(41,1),(61,1),(62,1),(63,1)}
        52:{3,4,7}:{(40,1),(41,1),(44,1),(61,1),(64,1),(65,1),(84,1),(95,1)}
        53:{1,4,6}:{(41,1),(42,1),(45,1),(62,1),(64,1)}
        54:{2,4,6}:{(41,1),(43,1),(46,1),(63,1),(65,1)}
        55:{1,2,4,5}:{(42,1),(43,1),(47,1),(66,1),(67,1),(70,1),(87,1),(96,1)}
        56:{1,3,7}:{(44,1),(45,1),(64,1),(68,1),(84,1)}
        57:{2,3,7}:{(44,1),(46,1),(65,1),(68,1),(84,1)}
        58:{1,2,6}:{(45,1),(46,1),(47,1),(68,1)}
        59:{1,2,3,5}:{(47,1),(48,1),(67,1),(69,1),(70,1),(87,1)}
        60:{4,6,7}:{(49,1),(50,1),(71,1)}
        61:{3,5,7}:{(50,1),(51,1),(52,1),(71,1),(72,1),(73,1)}
        62:{1,5,6}:{(51,1),(53,1),(72,1)}
        63:{2,5,6}:{(51,1),(54,1),(73,1)}
        64:{1,4,7}:{(52,1),(53,1),(56,1),(72,1)}
        65:{2,4,7}:{(52,1),(54,1),(57,1),(73,1)}
        66:{1,2,4,6}:{(53,1),(54,1),(55,1),(58,1),(74,1),(75,1),(76,1),(90,1)}
        67:{3,5}:{(55,1),(76,1),(77,1)}
        68:{1,2,7}:{(56,1),(57,1),(58,1)}
        69:{1,2,3,6}:{(58,1),(59,1),(76,1),(78,1),(79,1)}
        70:{1,2,4}:{(59,1),(77,1)}
        71:{3,6,7}:{(60,1),(61,1),(80,1),(81,1)}
        72:{1,5,7}:{(61,1),(62,1),(64,1),(80,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1),(81,1)}
        74:{1,2,5,6}:{(62,1),(63,1),(66,1),(82,1),(83,1),(87,1),(98,1)}
        75:{1,2,4,7}:{(64,1),(65,1),(66,1),(68,1),(82,1),(84,1),(95,1)}
        76:{3,6}:{(66,1),(67,1),(84,1)}
        77:{3,4}:{(67,1),(70,1)}
        78:{1,2,3,7}:{(68,1),(69,1),(84,1),(86,1)}
        79:{1,2,4,6}:{(69,1),(70,1),(85,1),(86,1),(87,1),(98,1)}
        80:{1,6,7}:{(71,1),(72,1)}
        81:{2,6,7}:{(71,1),(73,1)}
        82:{1,2,5,7}:{(72,1),(73,1),(74,1),(75,1),(88,1),(89,1)}
        83:{3,5,6}:{(74,1),(76,1),(89,1),(90,1),(92,1),(101,1),(104,1)}
        84:{3,7}:{(75,1),(76,1)}
        85:{3,4,6}:{(76,1),(77,1),(79,1),(90,1),(91,1),(92,1),(101,1)}
        86:{1,2,4,7}:{(78,1),(79,1),(91,1),(93,1)}
        87:{1,2,5}:{(79,1),(92,1)}
        88:{1,2,6,7}:{(80,1),(81,1),(82,1),(94,1),(98,1)}
        89:{3,5,7}:{(82,1),(83,1),(84,1),(94,1),(95,1),(102,1)}
        90:{4,6}:{(83,1),(95,1),(96,1)}
        91:{3,4,7}:{(84,1),(85,1),(86,1),(95,1),(97,1)}
        92:{3,5}:{(85,1),(87,1),(96,1)}
        93:{1,2,5,7}:{(86,1),(87,1),(97,1),(98,1)}
        94:{3,6,7}:{(88,1),(89,1),(99,1),(101,1)}
        95:{4,7}:{(89,1),(90,1)}
        96:{4,5}:{(90,1),(92,1)}
        97:{3,5,7}:{(91,1),(92,1),(93,1),(100,1),(101,1)}
        98:{1,2,6}:{(93,1),(101,1)}
        99:{4,6,7}:{(94,1),(95,1),(102,1),(103,1)}
       100:{4,5,7}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{5,7}:{(99,1),(104,1)}
       103:{4,6}:{(100,1),(101,1),(104,1)}
       104:{5,6}:{(102,1),(103,1)}

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

 206 :   0:{1,3,5,6}:{(2,1),(3,1),(4,1),(18,1),(21,1),(50,1),(60,1),(61,1),(94,1),(96,1),(125,1),(150,1)}
         1:{2,3,5,6}:{(2,1),(5,1),(6,1),(18,1),(26,1),(51,1),(65,1),(66,1),(95,1),(96,1),(126,1),(150,1)}
         2:{1,2,5,6}:{(0,1),(1,1),(7,1),(8,1),(37,1),(43,1),(72,1),(81,1),(85,1),(112,1),(139,1)}
         3:{1,4,6}:{(0,1),(9,1),(10,1),(11,1),(69,1),(115,1),(159,1)}
         4:{1,3,5,7}:{(0,1),(8,1),(11,1),(12,1),(35,1),(38,1),(42,1),(80,1)}
         5:{2,4,6}:{(1,1),(13,1),(14,1),(15,1),(70,1),(115,1),(159,1)}
         6:{2,3,5,7}:{(1,1),(8,1),(15,1),(16,1),(35,1),(44,1),(48,1),(80,1)}
         7:{1,2,4,6}:{(2,1),(3,1),(5,1),(17,1),(18,1),(19,1),(23,1),(28,1),(54,1),(89,1)}
         8:{1,2,5,7}:{(2,1),(4,1),(6,1),(19,1),(20,1),(59,1),(64,1)}
         9:{1,4,5}:{(3,1),(21,1),(125,1),(127,1)}
        10:{3,4,6}:{(3,1),(18,1),(21,1),(23,1),(24,1),(49,1),(60,1)}
        11:{1,4,7}:{(3,1),(4,1),(24,1),(100,1)}
        12:{1,3,6,7}:{(4,1),(20,1),(25,1),(57,1),(60,1),(94,1),(157,1)}
        13:{2,4,5}:{(5,1),(26,1),(126,1),(127,1)}
        14:{3,4,6}:{(5,1),(18,1),(26,1),(28,1),(29,1),(49,1),(65,1)}
        15:{2,4,7}:{(5,1),(6,1),(29,1),(100,1)}
        16:{2,3,6,7}:{(6,1),(20,1),(30,1),(57,1),(65,1),(95,1),(158,1)}
        17:{1,2,4,5}:{(7,1),(9,1),(13,1),(31,1),(37,1),(43,1),(69,1),(70,1),(72,1),(139,1),(159,1)}
        18:{3,6}:{(7,1),(31,1),(35,1),(107,1)}
        19:{1,2,4,7}:{(7,1),(8,1),(11,1),(15,1),(35,1),(40,1),(46,1),(77,1)}
        20:{1,2,6,7}:{(8,1),(12,1),(16,1),(81,1),(85,1),(112,1),(165,1)}
        21:{3,5}:{(9,1),(10,1),(37,1)}
        22:{1,4,5,7}:{(9,1),(11,1),(38,1),(39,1),(42,1),(84,1)}
        23:{2,4,6}:{(10,1),(34,1),(37,1),(40,1),(70,1),(81,1)}
        24:{3,4,7}:{(10,1),(11,1),(35,1),(38,1),(40,1)}
        25:{1,4,6,7}:{(11,1),(12,1),(39,1),(41,1),(42,1),(109,1),(147,1),(148,1)}
        26:{3,5}:{(13,1),(14,1),(43,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(44,1),(45,1),(48,1),(88,1)}
        28:{1,4,6}:{(14,1),(33,1),(43,1),(46,1),(69,1),(85,1)}
        29:{3,4,7}:{(14,1),(15,1),(35,1),(44,1),(46,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(45,1),(47,1),(48,1),(110,1),(146,1),(149,1)}
        31:{3,5}:{(17,1),(18,1),(49,1)}
        32:{1,2,4,5,7}:{(17,1),(19,1),(22,1),(27,1),(52,1),(53,1),(58,1),(59,1),(64,1),(90,1),(91,1),(93,1),(100,1),(103,1),(106,1),(125,1),(126,1),(127,1),(131,1),(135,1),(137,1),(151,1)}
        33:{1,3,6}:{(18,1),(28,1),(50,1),(54,1),(55,1)}
        34:{2,3,6}:{(18,1),(23,1),(51,1),(54,1),(56,1)}
        35:{3,7}:{(18,1),(19,1)}
        36:{1,2,4,6,7}:{(19,1),(20,1),(25,1),(30,1),(53,1),(57,1),(58,1),(62,1),(67,1),(97,1),(100,1),(124,1),(131,1)}
        37:{2,5}:{(21,1),(23,1)}
        38:{3,5,7}:{(21,1),(22,1),(24,1),(59,1),(60,1)}
        39:{1,4,6}:{(22,1),(60,1),(61,1),(102,1)}
        40:{2,4,7}:{(23,1),(24,1),(56,1),(59,1)}
        41:{3,4,6,7}:{(24,1),(25,1),(57,1),(60,1),(62,1),(63,1),(92,1),(100,1),(102,1),(133,1),(134,1)}
        42:{1,5,7}:{(25,1),(61,1),(63,1),(125,1)}
        43:{1,5}:{(26,1),(28,1)}
        44:{3,5,7}:{(26,1),(27,1),(29,1),(64,1),(65,1)}
        45:{2,4,6}:{(27,1),(65,1),(66,1),(105,1)}
        46:{1,4,7}:{(28,1),(29,1),(55,1),(64,1)}
        47:{3,4,6,7}:{(29,1),(30,1),(57,1),(65,1),(67,1),(68,1),(92,1),(100,1),(105,1),(132,1),(136,1)}
        48:{2,5,7}:{(30,1),(66,1),(68,1),(126,1)}
        49:{3,4}:{(31,1),(69,1),(70,1),(107,1),(159,1)}
        50:{1,3,5}:{(31,1),(33,1),(43,1),(69,1),(72,1),(107,1)}
        51:{2,3,5}:{(31,1),(34,1),(37,1),(70,1),(72,1),(107,1)}
        52:{3,5,7}:{(31,1),(32,1),(35,1),(71,1),(75,1),(111,1),(145,1),(160,1)}
        53:{1,2,4,6}:{(32,1),(39,1),(45,1),(75,1),(76,1),(81,1),(85,1),(109,1),(110,1),(112,1),(115,1),(119,1),(121,1),(148,1),(149,1)}
        54:{1,2,6}:{(33,1),(34,1),(72,1),(77,1)}
        55:{1,3,7}:{(33,1),(35,1),(46,1),(77,1)}
        56:{2,3,7}:{(34,1),(35,1),(40,1),(77,1)}
        57:{3,6,7}:{(35,1),(36,1),(75,1),(80,1),(138,1),(145,1)}
        58:{1,2,5,7}:{(36,1),(42,1),(48,1),(76,1),(80,1),(83,1),(87,1),(139,1)}
        59:{2,5,7}:{(37,1),(38,1),(40,1),(81,1)}
        60:{3,6}:{(38,1),(39,1),(81,1)}
        61:{1,5,6}:{(39,1),(42,1),(82,1),(148,1)}
        62:{2,4,6,7}:{(40,1),(41,1),(79,1),(81,1),(83,1),(110,1),(118,1),(119,1)}
        63:{3,5,7}:{(41,1),(42,1),(82,1),(83,1),(84,1),(111,1)}
        64:{1,5,7}:{(43,1),(44,1),(46,1),(85,1)}
        65:{3,6}:{(44,1),(45,1),(85,1)}
        66:{2,5,6}:{(45,1),(48,1),(86,1),(149,1)}
        67:{1,4,6,7}:{(46,1),(47,1),(78,1),(85,1),(87,1),(109,1),(117,1),(121,1)}
        68:{3,5,7}:{(47,1),(48,1),(86,1),(87,1),(88,1),(111,1)}
        69:{1,4}:{(49,1),(50,1)}
        70:{2,4}:{(49,1),(51,1)}
        71:{3,4,7}:{(49,1),(52,1),(90,1),(91,1),(92,1),(100,1),(123,1),(166,1)}
        72:{1,2,5}:{(50,1),(51,1),(54,1),(89,1)}
        73:{1,3,5,7}:{(50,1),(52,1),(55,1),(64,1),(90,1),(93,1),(94,1),(123,1),(125,1),(135,1),(150,1),(157,1),(167,1)}
        74:{2,3,5,7}:{(51,1),(52,1),(56,1),(59,1),(91,1),(93,1),(95,1),(123,1),(126,1),(137,1),(150,1),(158,1),(168,1)}
        75:{3,6}:{(52,1),(53,1)}
        76:{1,2,5,6}:{(53,1),(58,1),(61,1),(66,1),(96,1),(101,1),(104,1),(125,1),(126,1)}
        77:{1,2,7}:{(54,1),(55,1),(56,1)}
        78:{1,3,6,7}:{(55,1),(57,1),(67,1),(94,1),(97,1),(98,1),(136,1)}
        79:{2,3,6,7}:{(56,1),(57,1),(62,1),(95,1),(97,1),(99,1),(134,1)}
        80:{3,5,7}:{(57,1),(58,1),(96,1),(100,1),(150,1)}
        81:{2,6}:{(59,1),(60,1)}
        82:{3,5,6}:{(60,1),(61,1),(63,1),(101,1),(102,1),(134,1)}
        83:{2,5,7}:{(62,1),(63,1),(101,1),(126,1)}
        84:{4,5,7}:{(63,1),(100,1),(102,1),(127,1)}
        85:{1,6}:{(64,1),(65,1)}
        86:{3,5,6}:{(65,1),(66,1),(68,1),(104,1),(105,1),(136,1)}
        87:{1,5,7}:{(67,1),(68,1),(104,1),(125,1)}
        88:{4,5,7}:{(68,1),(100,1),(105,1),(127,1)}
        89:{1,2,4}:{(69,1),(70,1),(72,1),(107,1)}
        90:{1,4,7}:{(69,1),(71,1),(73,1),(109,1),(159,1),(170,1)}
        91:{2,4,7}:{(70,1),(71,1),(74,1),(110,1),(159,1),(171,1)}
        92:{3,4,6}:{(71,1),(75,1),(109,1),(110,1),(111,1),(115,1),(138,1),(159,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(77,1),(108,1),(112,1),(139,1),(165,1),(172,1)}
        94:{1,3,6}:{(73,1),(75,1),(85,1),(109,1),(112,1),(138,1),(148,1)}
        95:{2,3,6}:{(74,1),(75,1),(81,1),(110,1),(112,1),(138,1),(149,1)}
        96:{3,5,6}:{(75,1),(76,1),(80,1),(111,1),(115,1)}
        97:{1,2,6,7}:{(77,1),(78,1),(79,1),(112,1),(116,1),(148,1),(149,1)}
        98:{1,3,5,7}:{(78,1),(80,1),(87,1),(113,1),(116,1),(117,1),(122,1),(145,1)}
        99:{2,3,5,7}:{(79,1),(80,1),(83,1),(114,1),(116,1),(118,1),(120,1),(145,1)}
       100:{4,7}:{(80,1),(115,1),(159,1)}
       101:{2,5,6}:{(81,1),(82,1),(83,1),(119,1)}
       102:{4,6}:{(82,1),(84,1)}
       103:{2,4,5,7}:{(83,1),(84,1),(118,1),(119,1),(120,1),(141,1)}
       104:{1,5,6}:{(85,1),(86,1),(87,1),(121,1)}
       105:{4,6}:{(86,1),(88,1)}
       106:{1,4,5,7}:{(87,1),(88,1),(117,1),(121,1),(122,1),(140,1)}
       107:{3}:{(89,1)}
       108:{1,2,4,7}:{(89,1),(90,1),(91,1),(93,1),(123,1),(124,1),(173,1)}
       109:{1,4,6}:{(90,1),(92,1),(94,1),(125,1)}
       110:{2,4,6}:{(91,1),(92,1),(95,1),(126,1)}
       111:{3,5}:{(92,1),(125,1),(126,1),(127,1)}
       112:{1,2,6}:{(93,1),(94,1),(95,1)}
       113:{1,3,5,6}:{(94,1),(96,1),(98,1),(104,1),(125,1),(128,1),(129,1),(136,1),(150,1),(152,1),(154,1),(167,1)}
       114:{2,3,5,6}:{(95,1),(96,1),(99,1),(101,1),(126,1),(128,1),(130,1),(134,1),(150,1),(153,1),(154,1),(168,1)}
       115:{4,6}:{(96,1),(100,1),(127,1)}
       116:{1,2,5,7}:{(97,1),(98,1),(99,1),(128,1),(131,1),(135,1),(137,1)}
       117:{1,4,7}:{(98,1),(100,1),(129,1),(132,1)}
       118:{2,4,7}:{(99,1),(100,1),(130,1),(133,1)}
       119:{2,4,6}:{(101,1),(102,1),(103,1),(134,1)}
       120:{3,5,7}:{(103,1),(133,1),(134,1),(135,1),(153,1)}
       121:{1,4,6}:{(104,1),(105,1),(106,1),(136,1)}
       122:{3,5,7}:{(106,1),(132,1),(136,1),(137,1),(152,1)}
       123:{3,7}:{(107,1),(108,1),(138,1),(174,1)}
       124:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(138,1),(139,1),(159,1)}
       125:{1,5}:{(109,1),(111,1)}
       126:{2,5}:{(110,1),(111,1)}
       127:{4,5}:{(111,1),(115,1),(159,1)}
       128:{1,2,5,6}:{(112,1),(113,1),(114,1),(116,1),(139,1),(142,1),(148,1),(149,1),(161,1),(162,1),(172,1)}
       129:{1,4,6}:{(113,1),(115,1),(117,1),(140,1),(143,1),(159,1),(170,1)}
       130:{2,4,6}:{(114,1),(115,1),(118,1),(141,1),(144,1),(159,1),(171,1)}
       131:{1,2,4,7}:{(116,1),(117,1),(118,1),(142,1),(145,1),(146,1),(147,1),(165,1)}
       132:{3,4,7}:{(117,1),(122,1),(143,1),(145,1),(146,1)}
       133:{3,4,7}:{(118,1),(120,1),(144,1),(145,1),(147,1)}
       134:{3,6}:{(119,1),(120,1),(148,1)}
       135:{1,5,7}:{(120,1),(147,1),(148,1),(162,1)}
       136:{3,6}:{(121,1),(122,1),(149,1)}
       137:{2,5,7}:{(122,1),(146,1),(149,1),(161,1)}
       138:{3,6}:{(123,1),(124,1),(150,1)}
       139:{1,2,5}:{(124,1),(125,1),(126,1),(150,1)}
       140:{1,4,5}:{(125,1),(127,1),(129,1),(152,1)}
       141:{2,4,5}:{(126,1),(127,1),(130,1),(153,1)}
       142:{1,2,4,6}:{(128,1),(129,1),(130,1),(131,1),(151,1),(154,1),(155,1),(156,1),(169,1),(173,1)}
       143:{3,4,6}:{(129,1),(132,1),(136,1),(152,1),(154,1),(155,1),(166,1)}
       144:{3,4,6}:{(130,1),(133,1),(134,1),(153,1),(154,1),(156,1),(166,1)}
       145:{3,7}:{(131,1),(154,1)}
       146:{2,4,7}:{(132,1),(137,1),(155,1),(158,1)}
       147:{1,4,7}:{(133,1),(135,1),(156,1),(157,1)}
       148:{1,6}:{(134,1),(135,1)}
       149:{2,6}:{(136,1),(137,1)}
       150:{3,5}:{(138,1),(139,1),(159,1)}
       151:{1,2,4,5}:{(139,1),(140,1),(141,1),(142,1),(159,1),(160,1),(161,1),(162,1),(170,1),(171,1),(172,1)}
       152:{3,5}:{(140,1),(143,1),(161,1)}
       153:{3,5}:{(141,1),(144,1),(162,1)}
       154:{3,6}:{(142,1),(145,1),(160,1),(174,1)}
       155:{2,4,6}:{(143,1),(146,1),(149,1),(161,1),(164,1),(171,1)}
       156:{1,4,6}:{(144,1),(147,1),(148,1),(162,1),(163,1),(170,1)}
       157:{1,3,7}:{(145,1),(147,1),(163,1),(165,1)}
       158:{2,3,7}:{(145,1),(146,1),(164,1),(165,1)}
       159:{4}:{(150,1)}
       160:{3,5}:{(151,1),(154,1),(166,1)}
       161:{2,5}:{(152,1),(155,1)}
       162:{1,5}:{(153,1),(156,1)}
       163:{1,3,6}:{(154,1),(156,1),(157,1),(167,1),(169,1)}
       164:{2,3,6}:{(154,1),(155,1),(158,1),(168,1),(169,1)}
       165:{1,2,7}:{(157,1),(158,1),(169,1)}
       166:{3,4}:{(159,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(160,1),(162,1),(163,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(160,1),(161,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(163,1),(164,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

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

 208 :   0:{1,3,6,7}:{(2,1),(3,1),(4,1),(17,1),(70,1),(113,1),(144,1)}
         1:{2,3,6,7}:{(2,1),(5,1),(6,1),(17,1),(77,1),(114,1),(145,1)}
         2:{1,2,6,7}:{(0,1),(1,1),(8,1),(97,1),(101,1),(136,1),(158,1)}
         3:{1,4,6,7}:{(0,1),(9,1),(10,1),(12,1),(43,1),(131,1),(133,1),(140,1)}
         4:{1,3,5,7}:{(0,1),(8,1),(10,1),(11,1),(12,1),(35,1),(39,1),(44,1)}
         5:{2,4,6,7}:{(1,1),(13,1),(14,1),(16,1),(51,1),(128,1),(134,1),(141,1)}
         6:{2,3,5,7}:{(1,1),(8,1),(14,1),(15,1),(16,1),(35,1),(39,1),(52,1)}
         7:{1,2,4,6,7}:{(2,1),(3,1),(5,1),(17,1),(18,1),(20,1),(21,1),(27,1),(56,1),(60,1),(61,1),(104,1),(152,1)}
         8:{1,2,5,7}:{(2,1),(4,1),(6,1),(19,1),(20,1),(71,1),(78,1)}
         9:{3,4,6,7}:{(3,1),(17,1),(21,1),(22,1),(26,1),(60,1),(69,1),(70,1),(108,1),(110,1),(120,1)}
        10:{1,5,7}:{(3,1),(22,1),(23,1),(150,1)}
        11:{1,3,5,6}:{(4,1),(19,1),(23,1),(25,1),(59,1),(64,1),(70,1),(72,1),(113,1),(117,1),(150,1),(168,1)}
        12:{1,4,7}:{(4,1),(25,1),(26,1),(60,1)}
        13:{3,4,6,7}:{(5,1),(17,1),(27,1),(28,1),(32,1),(60,1),(76,1),(77,1),(106,1),(110,1),(122,1)}
        14:{2,5,7}:{(5,1),(28,1),(29,1),(151,1)}
        15:{2,3,5,6}:{(6,1),(19,1),(29,1),(31,1),(59,1),(64,1),(77,1),(79,1),(114,1),(118,1),(151,1),(168,1)}
        16:{2,4,7}:{(6,1),(31,1),(32,1),(60,1)}
        17:{3,6,7}:{(7,1),(35,1),(39,1),(88,1),(125,1),(162,1)}
        18:{1,2,5,7}:{(7,1),(10,1),(14,1),(35,1),(36,1),(40,1),(48,1),(161,1)}
        19:{1,2,5,6}:{(8,1),(11,1),(15,1),(38,1),(97,1),(98,1),(101,1),(102,1),(136,1),(139,1),(161,1)}
        20:{1,2,4,7}:{(8,1),(12,1),(16,1),(38,1),(39,1),(47,1),(55,1),(94,1)}
        21:{2,4,6,7}:{(9,1),(34,1),(40,1),(47,1),(85,1),(95,1),(97,1),(134,1)}
        22:{3,5,7}:{(9,1),(10,1),(40,1),(41,1),(42,1),(132,1)}
        23:{1,5,6}:{(10,1),(41,1),(43,1),(140,1)}
        24:{1,4,5,7}:{(10,1),(12,1),(42,1),(43,1),(44,1),(45,1)}
        25:{1,4,6}:{(11,1),(12,1),(45,1),(46,1),(86,1),(137,1),(172,1)}
        26:{3,4,7}:{(12,1),(39,1),(44,1),(46,1),(47,1)}
        27:{1,4,6,7}:{(13,1),(33,1),(48,1),(55,1),(83,1),(99,1),(101,1),(133,1)}
        28:{3,5,7}:{(13,1),(14,1),(48,1),(49,1),(50,1),(132,1)}
        29:{2,5,6}:{(14,1),(49,1),(51,1),(141,1)}
        30:{2,4,5,7}:{(14,1),(16,1),(50,1),(51,1),(52,1),(53,1)}
        31:{2,4,6}:{(15,1),(16,1),(53,1),(54,1),(86,1),(138,1),(172,1)}
        32:{3,4,7}:{(16,1),(39,1),(52,1),(54,1),(55,1)}
        33:{1,3,6,7}:{(17,1),(27,1),(56,1),(57,1),(65,1),(113,1),(122,1)}
        34:{2,3,6,7}:{(17,1),(21,1),(56,1),(58,1),(66,1),(114,1),(120,1)}
        35:{3,5,7}:{(17,1),(18,1),(59,1),(60,1),(168,1)}
        36:{1,2,5,6}:{(18,1),(23,1),(29,1),(59,1),(61,1),(67,1),(74,1),(150,1),(151,1)}
        37:{1,2,4,5,7}:{(18,1),(20,1),(24,1),(30,1),(60,1),(61,1),(62,1),(63,1),(68,1),(71,1),(75,1),(78,1),(104,1),(109,1),(111,1),(112,1),(115,1),(121,1),(123,1),(142,1),(150,1),(151,1)}
        38:{1,2,4,6}:{(19,1),(20,1),(25,1),(31,1),(63,1),(64,1),(73,1),(80,1),(119,1),(154,1)}
        39:{3,7}:{(20,1),(64,1)}
        40:{2,5,7}:{(21,1),(22,1),(67,1),(151,1)}
        41:{3,5,6}:{(22,1),(23,1),(67,1),(69,1),(70,1),(120,1)}
        42:{4,5,7}:{(22,1),(60,1),(69,1),(109,1)}
        43:{1,4,6}:{(23,1),(24,1),(69,1),(70,1)}
        44:{3,5,7}:{(24,1),(26,1),(70,1),(71,1),(72,1)}
        45:{1,4,5}:{(25,1),(72,1),(109,1),(150,1)}
        46:{3,4,6}:{(25,1),(26,1),(64,1),(70,1),(72,1),(73,1),(116,1)}
        47:{2,4,7}:{(26,1),(66,1),(71,1),(73,1)}
        48:{1,5,7}:{(27,1),(28,1),(74,1),(150,1)}
        49:{3,5,6}:{(28,1),(29,1),(74,1),(76,1),(77,1),(122,1)}
        50:{4,5,7}:{(28,1),(60,1),(76,1),(109,1)}
        51:{2,4,6}:{(29,1),(30,1),(76,1),(77,1)}
        52:{3,5,7}:{(30,1),(32,1),(77,1),(78,1),(79,1)}
        53:{2,4,5}:{(31,1),(79,1),(109,1),(151,1)}
        54:{3,4,6}:{(31,1),(32,1),(64,1),(77,1),(79,1),(80,1),(116,1)}
        55:{1,4,7}:{(32,1),(65,1),(78,1),(80,1)}
        56:{1,2,6,7}:{(33,1),(34,1),(81,1),(94,1),(136,1),(140,1),(141,1)}
        57:{1,3,5,7}:{(33,1),(35,1),(48,1),(81,1),(82,1),(83,1),(100,1),(125,1)}
        58:{2,3,5,7}:{(34,1),(35,1),(40,1),(81,1),(84,1),(85,1),(96,1),(125,1)}
        59:{3,5,6}:{(35,1),(36,1),(86,1),(88,1),(132,1)}
        60:{4,7}:{(35,1),(86,1),(172,1)}
        61:{1,2,4,6}:{(36,1),(37,1),(43,1),(51,1),(86,1),(88,1),(95,1),(97,1),(99,1),(101,1),(133,1),(134,1),(136,1),(140,1),(141,1)}
        62:{3,5,7}:{(37,1),(39,1),(87,1),(88,1),(91,1),(125,1),(132,1),(155,1)}
        63:{1,2,4,5}:{(38,1),(45,1),(53,1),(91,1),(98,1),(102,1),(137,1),(138,1),(139,1),(161,1),(172,1)}
        64:{3,6}:{(38,1),(39,1),(91,1),(163,1)}
        65:{1,3,7}:{(39,1),(55,1),(92,1),(94,1)}
        66:{2,3,7}:{(39,1),(47,1),(93,1),(94,1)}
        67:{2,5,6}:{(40,1),(41,1),(95,1),(97,1)}
        68:{2,4,5,7}:{(40,1),(42,1),(85,1),(95,1),(96,1),(129,1)}
        69:{4,6}:{(41,1),(42,1)}
        70:{3,6}:{(43,1),(44,1),(97,1)}
        71:{2,5,7}:{(44,1),(47,1),(97,1),(98,1)}
        72:{3,5}:{(45,1),(46,1),(98,1)}
        73:{2,4,6}:{(46,1),(47,1),(93,1),(97,1),(98,1),(138,1)}
        74:{1,5,6}:{(48,1),(49,1),(99,1),(101,1)}
        75:{1,4,5,7}:{(48,1),(50,1),(83,1),(99,1),(100,1),(126,1)}
        76:{4,6}:{(49,1),(50,1)}
        77:{3,6}:{(51,1),(52,1),(101,1)}
        78:{1,5,7}:{(52,1),(55,1),(101,1),(102,1)}
        79:{3,5}:{(53,1),(54,1),(102,1)}
        80:{1,4,6}:{(54,1),(55,1),(92,1),(101,1),(102,1),(137,1)}
        81:{1,2,5,7}:{(56,1),(57,1),(58,1),(103,1),(104,1),(121,1),(123,1)}
        82:{1,3,5,6}:{(57,1),(59,1),(74,1),(103,1),(105,1),(113,1),(122,1),(143,1),(146,1),(150,1),(165,1),(168,1)}
        83:{1,4,7}:{(57,1),(60,1),(105,1),(106,1)}
        84:{2,3,5,6}:{(58,1),(59,1),(67,1),(103,1),(107,1),(114,1),(120,1),(143,1),(148,1),(151,1),(166,1),(168,1)}
        85:{2,4,7}:{(58,1),(60,1),(107,1),(108,1)}
        86:{4,6}:{(59,1),(60,1),(109,1)}
        87:{3,4,7}:{(60,1),(62,1),(110,1),(111,1),(112,1),(116,1),(153,1),(164,1)}
        88:{3,6}:{(61,1),(62,1)}
        89:{1,3,5,7}:{(62,1),(65,1),(78,1),(111,1),(113,1),(115,1),(117,1),(121,1),(144,1),(150,1),(153,1),(165,1),(168,1)}
        90:{2,3,5,7}:{(62,1),(66,1),(71,1),(112,1),(114,1),(115,1),(118,1),(123,1),(145,1),(151,1),(153,1),(166,1),(168,1)}
        91:{3,5}:{(63,1),(64,1),(116,1)}
        92:{1,3,6}:{(64,1),(65,1),(80,1),(117,1),(119,1)}
        93:{2,3,6}:{(64,1),(66,1),(73,1),(118,1),(119,1)}
        94:{1,2,7}:{(65,1),(66,1),(119,1)}
        95:{2,4,6}:{(67,1),(68,1),(69,1),(120,1)}
        96:{3,5,7}:{(68,1),(108,1),(120,1),(121,1),(148,1)}
        97:{2,6}:{(70,1),(71,1)}
        98:{2,5}:{(72,1),(73,1)}
        99:{1,4,6}:{(74,1),(75,1),(76,1),(122,1)}
       100:{3,5,7}:{(75,1),(106,1),(122,1),(123,1),(146,1)}
       101:{1,6}:{(77,1),(78,1)}
       102:{1,5}:{(79,1),(80,1)}
       103:{1,2,5,6}:{(81,1),(82,1),(84,1),(124,1),(136,1),(140,1),(141,1),(159,1),(160,1),(161,1),(171,1)}
       104:{1,2,4,7}:{(81,1),(83,1),(85,1),(124,1),(125,1),(128,1),(131,1),(158,1)}
       105:{1,4,6}:{(82,1),(83,1),(86,1),(126,1),(127,1),(169,1),(172,1)}
       106:{3,4,7}:{(83,1),(100,1),(125,1),(127,1),(128,1)}
       107:{2,4,6}:{(84,1),(85,1),(86,1),(129,1),(130,1),(170,1),(172,1)}
       108:{3,4,7}:{(85,1),(96,1),(125,1),(130,1),(131,1)}
       109:{4,5}:{(86,1),(132,1),(172,1)}
       110:{3,4,6}:{(86,1),(87,1),(88,1),(132,1),(133,1),(134,1),(162,1),(172,1)}
       111:{1,4,7}:{(87,1),(89,1),(133,1),(137,1),(169,1),(172,1)}
       112:{2,4,7}:{(87,1),(90,1),(134,1),(138,1),(170,1),(172,1)}
       113:{1,3,6}:{(88,1),(89,1),(101,1),(133,1),(136,1),(140,1),(162,1)}
       114:{2,3,6}:{(88,1),(90,1),(97,1),(134,1),(136,1),(141,1),(162,1)}
       115:{1,2,5,7}:{(89,1),(90,1),(94,1),(135,1),(136,1),(139,1),(158,1),(161,1),(171,1)}
       116:{3,4}:{(91,1),(137,1),(138,1),(163,1),(172,1)}
       117:{1,3,5}:{(91,1),(92,1),(102,1),(137,1),(139,1),(163,1)}
       118:{2,3,5}:{(91,1),(93,1),(98,1),(138,1),(139,1),(163,1)}
       119:{1,2,6}:{(92,1),(93,1),(94,1),(139,1)}
       120:{3,6}:{(95,1),(96,1),(140,1)}
       121:{1,5,7}:{(96,1),(131,1),(140,1),(160,1)}
       122:{3,6}:{(99,1),(100,1),(141,1)}
       123:{2,5,7}:{(100,1),(128,1),(141,1),(159,1)}
       124:{1,2,4,6}:{(103,1),(104,1),(105,1),(107,1),(142,1),(143,1),(147,1),(149,1),(167,1),(173,1)}
       125:{3,7}:{(104,1),(143,1)}
       126:{1,4,5}:{(105,1),(109,1),(146,1),(150,1)}
       127:{3,4,6}:{(105,1),(106,1),(122,1),(143,1),(146,1),(147,1),(164,1)}
       128:{2,4,7}:{(106,1),(123,1),(145,1),(147,1)}
       129:{2,4,5}:{(107,1),(109,1),(148,1),(151,1)}
       130:{3,4,6}:{(107,1),(108,1),(120,1),(143,1),(148,1),(149,1),(164,1)}
       131:{1,4,7}:{(108,1),(121,1),(144,1),(149,1)}
       132:{3,5}:{(109,1),(110,1),(150,1),(151,1)}
       133:{1,4,6}:{(110,1),(111,1),(113,1),(150,1)}
       134:{2,4,6}:{(110,1),(112,1),(114,1),(151,1)}
       135:{1,2,4,7}:{(111,1),(112,1),(115,1),(152,1),(153,1),(154,1),(173,1)}
       136:{1,2,6}:{(113,1),(114,1),(115,1)}
       137:{1,4}:{(116,1),(117,1)}
       138:{2,4}:{(116,1),(118,1)}
       139:{1,2,5}:{(117,1),(118,1),(119,1),(154,1)}
       140:{1,6}:{(120,1),(121,1)}
       141:{2,6}:{(122,1),(123,1)}
       142:{1,2,4,5}:{(124,1),(126,1),(129,1),(155,1),(159,1),(160,1),(161,1),(169,1),(170,1),(171,1),(172,1)}
       143:{3,6}:{(124,1),(125,1),(155,1),(174,1)}
       144:{1,3,7}:{(125,1),(131,1),(156,1),(158,1)}
       145:{2,3,7}:{(125,1),(128,1),(157,1),(158,1)}
       146:{3,5}:{(126,1),(127,1),(159,1)}
       147:{2,4,6}:{(127,1),(128,1),(141,1),(157,1),(159,1),(170,1)}
       148:{3,5}:{(129,1),(130,1),(160,1)}
       149:{1,4,6}:{(130,1),(131,1),(140,1),(156,1),(160,1),(169,1)}
       150:{1,5}:{(132,1),(133,1)}
       151:{2,5}:{(132,1),(134,1)}
       152:{1,2,4,6}:{(133,1),(134,1),(135,1),(136,1),(161,1),(162,1),(172,1)}
       153:{3,7}:{(135,1),(162,1),(163,1),(174,1)}
       154:{1,2,4}:{(137,1),(138,1),(139,1),(163,1)}
       155:{3,5}:{(142,1),(143,1),(164,1)}
       156:{1,3,6}:{(143,1),(144,1),(149,1),(165,1),(167,1)}
       157:{2,3,6}:{(143,1),(145,1),(147,1),(166,1),(167,1)}
       158:{1,2,7}:{(144,1),(145,1),(167,1)}
       159:{2,5}:{(146,1),(147,1)}
       160:{1,5}:{(148,1),(149,1)}
       161:{1,2,5}:{(150,1),(151,1),(152,1),(168,1)}
       162:{3,6}:{(152,1),(153,1),(168,1)}
       163:{3}:{(154,1)}
       164:{3,4}:{(155,1),(169,1),(170,1),(172,1),(174,1)}
       165:{1,3,5}:{(155,1),(156,1),(160,1),(169,1),(171,1),(174,1)}
       166:{2,3,5}:{(155,1),(157,1),(159,1),(170,1),(171,1),(174,1)}
       167:{1,2,6}:{(156,1),(157,1),(158,1),(171,1)}
       168:{3,5}:{(161,1),(162,1),(172,1)}
       169:{1,4}:{(164,1),(165,1)}
       170:{2,4}:{(164,1),(166,1)}
       171:{1,2,5}:{(165,1),(166,1),(167,1),(173,1)}
       172:{4}:{(168,1)}
       173:{1,2,4}:{(169,1),(170,1),(171,1),(174,1)}
       174:{3}:{(173,1)}

 209 :  0:{2,3,4}:{(1,1),(2,1),(22,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1),(13,1)}
        2:{2,3,5}:{(0,1),(4,1),(5,1),(6,1),(15,1)}
        3:{1,3}:{(1,1)}
        4:{1,2,5}:{(1,1),(2,1),(7,1),(9,1)}
        5:{2,4,5}:{(2,1),(10,1),(11,1)}
        6:{2,3,6}:{(2,1),(9,1),(11,1),(12,1),(27,1)}
        7:{1,3,5}:{(3,1),(4,1),(13,1),(14,1),(15,1),(37,1)}
        8:{1,2,4,5}:{(4,1),(5,1),(13,1),(15,1),(16,1),(18,1),(35,1),(37,1),(39,1),(65,1),(67,1)}
        9:{1,2,6}:{(4,1),(6,1),(14,1),(17,1)}
       10:{3,4,5}:{(5,1),(15,1),(18,1),(19,1),(67,1)}
       11:{2,4,6}:{(5,1),(6,1),(19,1),(20,1),(21,1)}
       12:{2,3,7}:{(6,1),(17,1),(21,1),(43,1)}
       13:{1,4}:{(7,1),(22,1)}
       14:{1,3,6}:{(7,1),(9,1),(23,1),(24,1),(27,1)}
       15:{3,5}:{(8,1),(22,1),(27,1)}
       16:{1,2,4,6}:{(8,1),(9,1),(11,1),(23,1),(27,1),(28,1),(29,1),(30,1),(51,1),(55,1),(58,1)}
       17:{1,2,7}:{(9,1),(12,1),(24,1)}
       18:{1,4,5}:{(10,1),(25,1),(30,1)}
       19:{3,4,6}:{(10,1),(11,1),(27,1),(30,1),(31,1),(32,1),(58,1)}
       20:{2,5,6}:{(11,1),(31,1),(33,1)}
       21:{2,4,7}:{(11,1),(12,1),(32,1),(33,1)}
       22:{3,4}:{(13,1),(15,1),(35,1)}
       23:{1,4,6}:{(13,1),(14,1),(36,1),(37,1),(38,1),(69,1)}
       24:{1,3,7}:{(14,1),(17,1),(38,1),(43,1)}
       25:{1,3,5}:{(15,1),(18,1),(34,1),(39,1),(40,1)}
       26:{2,3,5}:{(15,1),(35,1),(39,1),(41,1),(64,1),(65,1)}
       27:{3,6}:{(15,1),(16,1),(43,1)}
       28:{1,2,5,6}:{(16,1),(20,1),(37,1),(42,1),(44,1),(45,1),(65,1),(69,1),(80,1)}
       29:{1,2,4,7}:{(16,1),(17,1),(21,1),(38,1),(43,1),(44,1),(46,1),(66,1),(70,1),(71,1)}
       30:{1,4,6}:{(18,1),(19,1),(40,1),(45,1),(46,1)}
       31:{3,5,6}:{(19,1),(20,1),(45,1),(47,1),(48,1)}
       32:{3,4,7}:{(19,1),(21,1),(43,1),(46,1),(48,1),(71,1)}
       33:{2,5,7}:{(20,1),(21,1),(48,1),(49,1)}
       34:{1,3,4}:{(22,1),(25,1),(50,1)}
       35:{2,4}:{(22,1),(26,1)}
       36:{3,4,6}:{(22,1),(23,1),(27,1),(51,1),(52,1),(53,1),(58,1),(77,1)}
       37:{1,5}:{(23,1),(52,1)}
       38:{1,4,7}:{(23,1),(24,1),(53,1),(54,1)}
       39:{1,2,5}:{(25,1),(26,1),(50,1),(55,1)}
       40:{1,3,6}:{(25,1),(27,1),(30,1),(55,1),(56,1)}
       41:{2,3,6}:{(26,1),(27,1),(51,1),(55,1),(57,1)}
       42:{3,5,6}:{(27,1),(28,1),(52,1),(58,1),(59,1),(77,1),(83,1)}
       43:{3,7}:{(27,1),(29,1)}
       44:{1,2,5,7}:{(28,1),(29,1),(33,1),(54,1),(59,1),(60,1),(61,1),(75,1)}
       45:{1,5,6}:{(30,1),(31,1),(61,1)}
       46:{1,4,7}:{(30,1),(32,1),(56,1),(61,1)}
       47:{4,5,6}:{(31,1),(58,1),(62,1),(83,1)}
       48:{3,5,7}:{(31,1),(32,1),(33,1),(61,1),(62,1),(63,1)}
       49:{2,6,7}:{(33,1),(63,1)}
       50:{1,2,4}:{(34,1),(35,1),(39,1),(64,1)}
       51:{2,4,6}:{(35,1),(36,1),(41,1),(65,1),(66,1),(80,1)}
       52:{3,5}:{(36,1),(37,1),(65,1),(67,1)}
       53:{3,4,7}:{(36,1),(38,1),(43,1),(66,1),(68,1),(71,1)}
       54:{1,5,7}:{(37,1),(38,1),(68,1),(69,1)}
       55:{1,2,6}:{(39,1),(40,1),(41,1),(70,1)}
       56:{1,3,7}:{(40,1),(43,1),(46,1),(70,1)}
       57:{2,3,7}:{(41,1),(43,1),(66,1),(70,1)}
       58:{4,6}:{(42,1),(67,1),(71,1)}
       59:{3,5,7}:{(42,1),(43,1),(44,1),(71,1),(72,1),(82,1)}
       60:{1,2,6,7}:{(44,1),(49,1),(69,1),(72,1),(73,1),(80,1)}
       61:{1,5,7}:{(45,1),(46,1),(48,1),(73,1)}
       62:{4,5,7}:{(47,1),(48,1),(71,1),(74,1),(82,1)}
       63:{3,6,7}:{(48,1),(49,1),(73,1),(74,1)}
       64:{2,3}:{(50,1)}
       65:{2,5}:{(51,1),(52,1)}
       66:{2,4,7}:{(51,1),(53,1),(57,1),(75,1)}
       67:{4,5}:{(52,1),(58,1)}
       68:{3,5,7}:{(52,1),(53,1),(54,1),(75,1),(76,1),(77,1)}
       69:{1,6}:{(54,1),(77,1)}
       70:{1,2,7}:{(55,1),(56,1),(57,1)}
       71:{4,7}:{(58,1),(59,1)}
       72:{3,6,7}:{(59,1),(60,1),(77,1),(78,1)}
       73:{1,6,7}:{(61,1),(63,1)}
       74:{4,6,7}:{(62,1),(63,1),(79,1)}
       75:{2,5,7}:{(65,1),(66,1),(68,1),(80,1)}
       76:{4,5,7}:{(67,1),(68,1),(71,1),(81,1),(82,1)}
       77:{3,6}:{(68,1),(69,1),(80,1),(81,1)}
       78:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       79:{5,6,7}:{(74,1),(82,1)}
       80:{2,6}:{(75,1),(77,1)}
       81:{4,6}:{(76,1),(77,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 210 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(2,1),(3,1)}
        2:{3,4}:{(1,1),(4,1)}
        3:{1,2,5}:{(1,1),(4,1),(5,1)}
        4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
        5:{1,2,6}:{(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:{1,2,7}:{(5,1),(10,1)}
        9:{4,6}:{(6,1),(7,1),(11,1),(12,1)}
       10:{3,7}:{(7,1),(8,1),(12,1)}
       11:{5,6}:{(9,1),(13,1)}
       12:{4,7}:{(9,1),(10,1),(13,1)}
       13:{5,7}:{(11,1),(12,1),(14,1)}
       14:{6,7}:{(13,1)}

 211 :   0:{1,3,5,7}:{(2,1),(3,1),(4,1),(15,1),(19,1),(23,1),(54,1)}
         1:{2,3,5,7}:{(2,1),(5,1),(6,1),(17,1),(19,1),(26,1),(54,1)}
         2:{1,2,5,7}:{(0,1),(1,1),(9,1),(10,1),(27,1),(31,1),(38,1)}
         3:{1,4,7}:{(0,1),(11,1),(12,1),(70,1),(100,1)}
         4:{1,3,6}:{(0,1),(10,1),(12,1),(28,1),(37,1),(102,1)}
         5:{2,4,7}:{(1,1),(13,1),(14,1),(70,1),(101,1)}
         6:{2,3,6}:{(1,1),(10,1),(14,1),(32,1),(37,1),(103,1)}
         7:{1,4,5,7}:{(3,1),(15,1),(16,1),(23,1),(46,1),(56,1),(75,1)}
         8:{2,4,5,7}:{(5,1),(17,1),(18,1),(26,1),(50,1),(58,1),(78,1)}
         9:{1,2,4,7}:{(2,1),(3,1),(5,1),(19,1),(20,1),(21,1),(24,1),(51,1)}
        10:{1,2,6}:{(2,1),(4,1),(6,1),(43,1),(47,1),(104,1)}
        11:{3,4,7}:{(3,1),(15,1),(19,1),(21,1),(22,1),(75,1),(93,1)}
        12:{1,4,6}:{(3,1),(4,1),(22,1),(23,1),(94,1),(99,1)}
        13:{3,4,7}:{(5,1),(17,1),(19,1),(24,1),(25,1),(78,1),(95,1)}
        14:{2,4,6}:{(5,1),(6,1),(25,1),(26,1),(96,1),(98,1)}
        15:{3,5,7}:{(7,1),(11,1),(27,1),(28,1),(40,1)}
        16:{1,4,6}:{(7,1),(28,1),(30,1),(62,1)}
        17:{3,5,7}:{(8,1),(13,1),(31,1),(32,1),(42,1)}
        18:{2,4,6}:{(8,1),(32,1),(34,1),(66,1)}
        19:{3,7}:{(9,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(10,1),(12,1),(14,1),(37,1),(38,1),(39,1),(41,1),(67,1),(70,1),(88,1)}
        21:{2,4,7}:{(11,1),(27,1),(36,1),(39,1)}
        22:{3,4,6}:{(11,1),(12,1),(28,1),(37,1),(39,1),(40,1),(62,1),(70,1),(85,1),(90,1)}
        23:{1,5}:{(12,1),(40,1)}
        24:{1,4,7}:{(13,1),(31,1),(35,1),(41,1)}
        25:{3,4,6}:{(13,1),(14,1),(32,1),(37,1),(41,1),(42,1),(66,1),(70,1),(87,1),(89,1)}
        26:{2,5}:{(14,1),(42,1)}
        27:{2,5,7}:{(15,1),(21,1),(43,1),(55,1)}
        28:{3,6}:{(15,1),(16,1),(43,1)}
        29:{1,4,6,7}:{(16,1),(44,1),(46,1),(75,1)}
        30:{1,5,6}:{(16,1),(23,1),(45,1),(46,1),(94,1)}
        31:{1,5,7}:{(17,1),(24,1),(47,1),(57,1)}
        32:{3,6}:{(17,1),(18,1),(47,1)}
        33:{2,4,6,7}:{(18,1),(48,1),(50,1),(78,1)}
        34:{2,5,6}:{(18,1),(26,1),(49,1),(50,1),(96,1)}
        35:{1,3,7}:{(19,1),(24,1),(51,1),(52,1),(95,1)}
        36:{2,3,7}:{(19,1),(21,1),(51,1),(53,1),(93,1)}
        37:{3,6}:{(19,1),(20,1),(54,1),(97,1)}
        38:{1,2,5}:{(20,1),(23,1),(26,1),(54,1),(55,1),(57,1)}
        39:{2,4,6}:{(21,1),(22,1),(43,1),(53,1),(55,1),(81,1)}
        40:{3,5}:{(22,1),(23,1),(55,1),(56,1)}
        41:{1,4,6}:{(24,1),(25,1),(47,1),(52,1),(57,1),(80,1)}
        42:{3,5}:{(25,1),(26,1),(57,1),(58,1)}
        43:{2,6}:{(27,1),(28,1)}
        44:{3,6,7}:{(28,1),(29,1),(59,1),(61,1)}
        45:{3,5,6}:{(28,1),(30,1),(40,1),(60,1),(61,1),(62,1),(85,1)}
        46:{1,5,7}:{(29,1),(30,1),(61,1),(100,1)}
        47:{1,6}:{(31,1),(32,1)}
        48:{3,6,7}:{(32,1),(33,1),(63,1),(65,1)}
        49:{3,5,6}:{(32,1),(34,1),(42,1),(64,1),(65,1),(66,1),(87,1)}
        50:{2,5,7}:{(33,1),(34,1),(65,1),(101,1)}
        51:{1,2,7}:{(35,1),(36,1),(67,1),(100,1),(101,1)}
        52:{1,3,6}:{(35,1),(37,1),(41,1),(67,1),(68,1),(87,1)}
        53:{2,3,6}:{(36,1),(37,1),(39,1),(67,1),(69,1),(85,1)}
        54:{3,5}:{(37,1),(38,1),(70,1)}
        55:{2,5}:{(39,1),(40,1)}
        56:{4,5}:{(40,1),(62,1),(70,1)}
        57:{1,5}:{(41,1),(42,1)}
        58:{4,5}:{(42,1),(66,1),(70,1)}
        59:{2,6,7}:{(43,1),(44,1),(73,1)}
        60:{2,5,6}:{(43,1),(45,1),(55,1),(73,1),(74,1)}
        61:{3,5,7}:{(44,1),(45,1),(46,1),(73,1),(75,1),(93,1)}
        62:{4,6}:{(45,1),(56,1),(75,1)}
        63:{1,6,7}:{(47,1),(48,1),(76,1)}
        64:{1,5,6}:{(47,1),(49,1),(57,1),(76,1),(77,1)}
        65:{3,5,7}:{(48,1),(49,1),(50,1),(76,1),(78,1),(95,1)}
        66:{4,6}:{(49,1),(58,1),(78,1)}
        67:{1,2,6}:{(51,1),(52,1),(53,1),(79,1),(94,1),(96,1)}
        68:{1,3,5}:{(52,1),(54,1),(57,1),(79,1),(80,1),(83,1),(97,1)}
        69:{2,3,5}:{(53,1),(54,1),(55,1),(79,1),(81,1),(82,1),(97,1)}
        70:{4}:{(54,1)}
        71:{2,4,5}:{(55,1),(56,1),(74,1),(81,1),(82,1)}
        72:{1,4,5}:{(57,1),(58,1),(77,1),(80,1),(83,1)}
        73:{2,5,7}:{(59,1),(60,1),(61,1),(84,1)}
        74:{2,4,6}:{(60,1),(62,1),(71,1),(84,1),(85,1)}
        75:{4,7}:{(61,1),(62,1)}
        76:{1,5,7}:{(63,1),(64,1),(65,1),(86,1)}
        77:{1,4,6}:{(64,1),(66,1),(72,1),(86,1),(87,1)}
        78:{4,7}:{(65,1),(66,1)}
        79:{1,2,5}:{(67,1),(68,1),(69,1),(88,1),(91,1),(92,1)}
        80:{1,4}:{(68,1),(70,1),(89,1)}
        81:{2,4}:{(69,1),(70,1),(90,1)}
        82:{3,5}:{(71,1),(85,1),(90,1),(91,1)}
        83:{3,5}:{(72,1),(87,1),(89,1),(92,1)}
        84:{2,4,7}:{(73,1),(74,1),(75,1),(93,1)}
        85:{3,6}:{(74,1),(82,1),(93,1),(94,1)}
        86:{1,4,7}:{(76,1),(77,1),(78,1),(95,1)}
        87:{3,6}:{(77,1),(83,1),(95,1),(96,1)}
        88:{1,2,4}:{(79,1),(80,1),(81,1),(97,1),(98,1),(99,1),(104,1)}
        89:{3,4}:{(80,1),(83,1),(97,1),(98,1)}
        90:{3,4}:{(81,1),(82,1),(97,1),(99,1)}
        91:{1,5}:{(82,1),(94,1),(99,1)}
        92:{2,5}:{(83,1),(96,1),(98,1)}
        93:{3,7}:{(84,1),(85,1),(100,1)}
        94:{1,6}:{(85,1),(91,1),(100,1)}
        95:{3,7}:{(86,1),(87,1),(101,1)}
        96:{2,6}:{(87,1),(92,1),(101,1)}
        97:{3}:{(88,1)}
        98:{2,4}:{(89,1),(92,1),(103,1)}
        99:{1,4}:{(90,1),(91,1),(102,1)}
       100:{1,7}:{(93,1),(94,1)}
       101:{2,7}:{(95,1),(96,1)}
       102:{1,3}:{(97,1),(99,1),(104,1)}
       103:{2,3}:{(97,1),(98,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

 212 :  0:{1,2,6,7}:{(3,1),(5,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(38,1),(39,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(17,1),(20,1),(21,1),(25,1),(38,1),(39,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{3,5,6}:{(1,1),(9,1),(10,1),(13,1),(26,1),(28,1),(45,1)}
        5:{1,2,5,7}:{(0,1),(1,1),(9,1),(12,1),(46,1),(47,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(30,1),(31,1),(35,1)}
        7:{3,5}:{(2,1),(11,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(18,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(18,1),(22,1)}
       10:{4,6}:{(4,1),(17,1),(18,1)}
       11:{3,4}:{(7,1),(20,1),(21,1),(43,1)}
       12:{1,2,4,7}:{(5,1),(6,1),(18,1),(22,1),(40,1),(41,1),(44,1)}
       13:{3,6}:{(6,1),(7,1),(22,1)}
       14:{1,3,5}:{(7,1),(20,1),(23,1),(25,1),(38,1),(43,1),(54,1)}
       15:{2,3,5}:{(7,1),(21,1),(24,1),(25,1),(39,1),(43,1),(54,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,5}:{(10,1),(28,1),(58,1)}
       18:{4,7}:{(9,1),(10,1)}
       19:{3,4,6}:{(10,1),(11,1),(13,1),(28,1),(29,1),(30,1),(31,1),(45,1),(50,1),(58,1),(61,1)}
       20:{1,4}:{(11,1),(14,1),(58,1)}
       21:{2,4}:{(11,1),(15,1),(58,1)}
       22:{3,7}:{(12,1),(13,1)}
       23:{1,3,6}:{(13,1),(14,1),(30,1),(33,1),(35,1),(50,1)}
       24:{2,3,6}:{(13,1),(15,1),(31,1),(34,1),(35,1),(50,1)}
       25:{1,2,5}:{(14,1),(15,1),(32,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(18,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,5}:{(17,1),(19,1),(38,1),(39,1),(62,1)}
       29:{3,4,7}:{(18,1),(19,1),(22,1),(37,1),(40,1),(41,1),(55,1),(60,1)}
       30:{1,4,6}:{(19,1),(20,1),(23,1),(38,1),(40,1),(51,1)}
       31:{2,4,6}:{(19,1),(21,1),(24,1),(39,1),(41,1),(52,1)}
       32:{1,2,4}:{(20,1),(21,1),(25,1),(43,1)}
       33:{1,3,7}:{(22,1),(23,1),(40,1),(44,1),(55,1)}
       34:{2,3,7}:{(22,1),(24,1),(41,1),(44,1),(55,1)}
       35:{1,2,6}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(45,1),(46,1),(47,1)}
       38:{1,5}:{(28,1),(30,1)}
       39:{2,5}:{(28,1),(31,1)}
       40:{1,4,7}:{(29,1),(30,1),(33,1),(46,1)}
       41:{2,4,7}:{(29,1),(31,1),(34,1),(47,1)}
       42:{1,2,4,6}:{(30,1),(31,1),(32,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       43:{3}:{(32,1)}
       44:{1,2,7}:{(33,1),(34,1),(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(40,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(41,1),(52,1)}
       48:{1,2,5}:{(38,1),(39,1),(42,1),(54,1),(62,1)}
       49:{1,2,4,7}:{(40,1),(41,1),(42,1),(44,1),(53,1),(55,1),(60,1)}
       50:{3,6}:{(42,1),(43,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,5}:{(48,1),(50,1),(58,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(54,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 213 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(13,1),(14,1),(35,1),(36,1),(37,1),(41,1),(65,1),(66,1),(68,1),(71,1),(99,1),(100,1)}
         1:{3,5,7}:{(0,1),(3,1),(7,1),(22,1),(85,1),(88,1)}
         2:{1,2,4,6}:{(0,1),(7,1),(8,1),(20,1),(21,1),(26,1),(29,1),(78,1),(79,1),(109,1),(110,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(11,1),(33,1),(41,1),(101,1)}
         4:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(30,1),(31,1),(38,1),(41,1),(71,1),(134,1)}
         5:{1,3,5,7}:{(1,1),(9,1),(14,1),(15,1),(33,1),(35,1),(67,1),(100,1),(102,1),(104,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(14,1),(16,1),(33,1),(36,1),(67,1),(99,1),(103,1),(105,1)}
         7:{3,6}:{(1,1),(2,1)}
         8:{1,2,5,6}:{(2,1),(13,1),(17,1),(35,1),(36,1),(60,1),(61,1)}
         9:{1,4,7}:{(3,1),(5,1),(20,1),(84,1),(114,1)}
        10:{2,4,7}:{(3,1),(6,1),(21,1),(84,1),(115,1)}
        11:{3,4,6}:{(3,1),(7,1),(20,1),(21,1),(22,1),(29,1),(50,1),(84,1)}
        12:{3,6,7}:{(4,1),(7,1),(25,1),(88,1),(137,1)}
        13:{1,2,5,7}:{(4,1),(8,1),(25,1),(47,1),(48,1),(136,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(19,1),(26,1),(51,1),(116,1),(117,1)}
        15:{1,3,6}:{(5,1),(7,1),(20,1),(26,1),(50,1),(110,1)}
        16:{2,3,6}:{(6,1),(7,1),(21,1),(26,1),(50,1),(109,1)}
        17:{3,5,6}:{(7,1),(8,1),(22,1),(25,1),(29,1)}
        18:{3,4,6,7}:{(11,1),(12,1),(30,1),(31,1),(32,1),(41,1),(62,1),(63,1),(72,1),(73,1),(95,1),(96,1),(97,1),(119,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(14,1),(33,1),(34,1),(125,1)}
        20:{1,4,6}:{(9,1),(11,1),(15,1),(35,1)}
        21:{2,4,6}:{(10,1),(11,1),(16,1),(36,1)}
        22:{3,5}:{(11,1),(35,1),(36,1),(37,1)}
        23:{1,3,6,7}:{(12,1),(15,1),(30,1),(38,1),(39,1),(63,1),(95,1),(104,1),(120,1)}
        24:{2,3,6,7}:{(12,1),(16,1),(31,1),(38,1),(40,1),(63,1),(96,1),(105,1),(121,1)}
        25:{3,5,7}:{(12,1),(13,1),(17,1),(41,1),(138,1)}
        26:{1,2,6}:{(14,1),(15,1),(16,1)}
        27:{1,3,5,6}:{(15,1),(17,1),(35,1),(39,1),(42,1),(43,1),(60,1),(67,1),(69,1),(74,1),(93,1),(95,1),(102,1),(120,1),(132,1),(138,1)}
        28:{2,3,5,6}:{(16,1),(17,1),(36,1),(40,1),(42,1),(44,1),(61,1),(67,1),(70,1),(74,1),(93,1),(96,1),(103,1),(121,1),(133,1),(138,1)}
        29:{4,6}:{(17,1),(37,1),(41,1)}
        30:{1,4,6,7}:{(18,1),(20,1),(23,1),(47,1),(55,1),(78,1),(90,1),(110,1),(127,1)}
        31:{2,4,6,7}:{(18,1),(21,1),(24,1),(48,1),(56,1),(79,1),(89,1),(109,1),(128,1)}
        32:{3,5,7}:{(18,1),(22,1),(45,1),(47,1),(48,1),(49,1),(126,1)}
        33:{3,7}:{(19,1),(50,1),(131,1)}
        34:{1,2,4,6}:{(19,1),(20,1),(21,1),(26,1),(50,1),(51,1),(84,1)}
        35:{1,5}:{(20,1),(22,1)}
        36:{2,5}:{(21,1),(22,1)}
        37:{4,5}:{(22,1),(29,1),(84,1)}
        38:{1,2,6,7}:{(23,1),(24,1),(26,1),(54,1),(109,1),(110,1),(117,1),(129,1)}
        39:{1,3,5,7}:{(23,1),(25,1),(27,1),(47,1),(54,1),(55,1),(80,1),(82,1),(88,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(28,1),(48,1),(54,1),(56,1),(80,1),(83,1),(88,1)}
        41:{4,7}:{(25,1),(29,1),(139,1)}
        42:{1,2,5,6}:{(26,1),(27,1),(28,1),(51,1),(54,1),(57,1),(86,1),(87,1),(109,1),(110,1),(116,1),(129,1),(136,1)}
        43:{1,4,6}:{(27,1),(29,1),(52,1),(55,1),(58,1),(84,1),(107,1),(114,1),(139,1)}
        44:{2,4,6}:{(28,1),(29,1),(53,1),(56,1),(59,1),(84,1),(107,1),(115,1),(139,1)}
        45:{3,5,6}:{(32,1),(60,1),(61,1),(62,1),(95,1),(96,1)}
        46:{1,2,4,6,7}:{(30,1),(31,1),(34,1),(38,1),(63,1),(64,1),(71,1),(94,1),(97,1)}
        47:{1,5,7}:{(30,1),(32,1),(35,1),(60,1),(132,1)}
        48:{2,5,7}:{(31,1),(32,1),(36,1),(61,1),(133,1)}
        49:{4,5,7}:{(32,1),(37,1),(41,1),(62,1),(97,1),(118,1)}
        50:{3,6}:{(33,1),(34,1),(67,1)}
        51:{1,2,5}:{(34,1),(35,1),(36,1),(67,1)}
        52:{1,4,5}:{(35,1),(37,1),(43,1),(69,1),(118,1),(132,1)}
        53:{2,4,5}:{(36,1),(37,1),(44,1),(70,1),(118,1),(133,1)}
        54:{1,2,5,7}:{(38,1),(39,1),(40,1),(42,1),(71,1),(99,1),(100,1)}
        55:{1,4,7}:{(39,1),(41,1),(43,1),(72,1),(97,1)}
        56:{2,4,7}:{(40,1),(41,1),(44,1),(73,1),(97,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(44,1),(68,1),(71,1),(74,1),(75,1),(76,1),(106,1),(125,1)}
        58:{3,4,6}:{(43,1),(69,1),(72,1),(74,1),(75,1),(95,1),(101,1)}
        59:{3,4,6}:{(44,1),(70,1),(73,1),(74,1),(76,1),(96,1),(101,1)}
        60:{1,5,6}:{(45,1),(47,1),(78,1),(110,1)}
        61:{2,5,6}:{(45,1),(48,1),(79,1),(109,1)}
        62:{4,6}:{(45,1),(49,1)}
        63:{3,6,7}:{(46,1),(50,1),(80,1),(88,1),(108,1)}
        64:{1,2,5,7}:{(46,1),(47,1),(48,1),(51,1),(77,1),(80,1)}
        65:{1,4,5,7}:{(47,1),(49,1),(52,1),(55,1),(78,1),(82,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(53,1),(56,1),(79,1),(83,1)}
        67:{3,5}:{(50,1),(51,1),(84,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(53,1),(57,1),(84,1),(85,1),(86,1),(87,1),(114,1),(115,1),(116,1),(136,1),(139,1)}
        69:{3,5}:{(52,1),(58,1),(86,1)}
        70:{3,5}:{(53,1),(59,1),(87,1)}
        71:{1,2,4,7}:{(54,1),(55,1),(56,1),(57,1),(88,1),(89,1),(90,1),(117,1)}
        72:{3,4,7}:{(55,1),(58,1),(82,1),(88,1),(89,1)}
        73:{3,4,7}:{(56,1),(59,1),(83,1),(88,1),(90,1)}
        74:{3,6}:{(57,1),(85,1),(88,1),(131,1)}
        75:{2,4,6}:{(58,1),(86,1),(89,1),(92,1),(109,1),(115,1)}
        76:{1,4,6}:{(59,1),(87,1),(90,1),(91,1),(110,1),(114,1)}
        77:{1,2,5,6}:{(60,1),(61,1),(64,1),(93,1),(94,1),(132,1),(133,1)}
        78:{1,4,6}:{(60,1),(62,1),(65,1),(95,1)}
        79:{2,4,6}:{(61,1),(62,1),(66,1),(96,1)}
        80:{3,5,7}:{(63,1),(64,1),(67,1),(93,1),(97,1)}
        81:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(68,1),(71,1),(94,1),(97,1),(98,1),(99,1),(100,1),(118,1),(122,1),(123,1),(124,1),(132,1),(133,1)}
        82:{3,5,7}:{(65,1),(69,1),(72,1),(95,1),(99,1)}
        83:{3,5,7}:{(66,1),(70,1),(73,1),(96,1),(100,1)}
        84:{4}:{(67,1)}
        85:{3,5}:{(68,1),(74,1),(101,1)}
        86:{2,5}:{(69,1),(75,1)}
        87:{1,5}:{(70,1),(76,1)}
        88:{3,7}:{(71,1),(74,1)}
        89:{2,4,7}:{(72,1),(75,1),(99,1),(105,1)}
        90:{1,4,7}:{(73,1),(76,1),(100,1),(104,1)}
        91:{1,3,6}:{(74,1),(76,1),(102,1),(104,1),(106,1)}
        92:{2,3,6}:{(74,1),(75,1),(103,1),(105,1),(106,1)}
        93:{3,5,6}:{(77,1),(80,1),(107,1),(108,1),(126,1)}
        94:{1,2,4,6}:{(77,1),(78,1),(79,1),(81,1),(107,1),(108,1),(109,1),(110,1),(127,1),(128,1),(129,1)}
        95:{3,6}:{(78,1),(82,1),(109,1)}
        96:{3,6}:{(79,1),(83,1),(110,1)}
        97:{4,7}:{(80,1),(84,1),(107,1)}
        98:{3,5,7}:{(81,1),(85,1),(88,1),(108,1),(111,1),(126,1)}
        99:{2,5,7}:{(82,1),(86,1),(89,1),(109,1)}
       100:{1,5,7}:{(83,1),(87,1),(90,1),(110,1)}
       101:{3,4}:{(84,1),(85,1),(114,1),(115,1),(131,1),(139,1)}
       102:{1,3,5}:{(85,1),(87,1),(91,1),(114,1),(116,1),(131,1)}
       103:{2,3,5}:{(85,1),(86,1),(92,1),(115,1),(116,1),(131,1)}
       104:{1,3,7}:{(88,1),(90,1),(91,1),(117,1)}
       105:{2,3,7}:{(88,1),(89,1),(92,1),(117,1)}
       106:{1,2,6}:{(91,1),(92,1),(116,1),(117,1)}
       107:{4,6}:{(93,1),(97,1),(118,1)}
       108:{3,6}:{(94,1),(98,1)}
       109:{2,6}:{(95,1),(99,1)}
       110:{1,6}:{(96,1),(100,1)}
       111:{3,4,7}:{(97,1),(98,1),(101,1),(119,1),(122,1),(123,1),(135,1)}
       112:{1,3,5,7}:{(98,1),(100,1),(102,1),(104,1),(120,1),(122,1),(124,1),(132,1),(135,1),(138,1)}
       113:{2,3,5,7}:{(98,1),(99,1),(103,1),(105,1),(121,1),(123,1),(124,1),(133,1),(135,1),(138,1)}
       114:{1,4}:{(101,1),(102,1)}
       115:{2,4}:{(101,1),(103,1)}
       116:{1,2,5}:{(102,1),(103,1),(106,1),(125,1)}
       117:{1,2,7}:{(104,1),(105,1),(106,1)}
       118:{4,5}:{(107,1),(126,1),(139,1)}
       119:{3,4,6}:{(107,1),(108,1),(111,1),(126,1),(127,1),(128,1),(137,1),(139,1)}
       120:{1,3,6}:{(108,1),(110,1),(112,1),(127,1),(129,1),(137,1)}
       121:{2,3,6}:{(108,1),(109,1),(113,1),(128,1),(129,1),(137,1)}
       122:{1,4,7}:{(111,1),(112,1),(114,1),(127,1),(139,1)}
       123:{2,4,7}:{(111,1),(113,1),(115,1),(128,1),(139,1)}
       124:{1,2,5,7}:{(112,1),(113,1),(116,1),(117,1),(129,1),(130,1),(136,1)}
       125:{1,2,4}:{(114,1),(115,1),(116,1),(131,1)}
       126:{3,5}:{(118,1),(119,1),(132,1),(133,1)}
       127:{1,4,6}:{(119,1),(120,1),(122,1),(132,1)}
       128:{2,4,6}:{(119,1),(121,1),(123,1),(133,1)}
       129:{1,2,6}:{(120,1),(121,1),(124,1)}
       130:{1,2,4,7}:{(122,1),(123,1),(124,1),(125,1),(134,1),(135,1)}
       131:{3}:{(125,1)}
       132:{1,5}:{(126,1),(127,1)}
       133:{2,5}:{(126,1),(128,1)}
       134:{1,2,4,6}:{(127,1),(128,1),(129,1),(130,1),(136,1),(137,1),(139,1)}
       135:{3,7}:{(130,1),(131,1),(137,1)}
       136:{1,2,5}:{(132,1),(133,1),(134,1),(138,1)}
       137:{3,6}:{(134,1),(135,1),(138,1)}
       138:{3,5}:{(136,1),(137,1),(139,1)}
       139:{4}:{(138,1)}

 214 :   0:{1,2,4,6,7}:{(1,1),(2,1),(9,1),(10,1),(12,1),(16,1),(17,1),(42,1),(132,1)}
         1:{3,6,7}:{(0,1),(6,1),(31,1),(62,1),(136,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(7,1),(20,1),(21,1),(135,1)}
         3:{3,4,6,7}:{(1,1),(9,1),(10,1),(11,1),(16,1),(34,1),(40,1),(44,1),(46,1),(48,1),(75,1),(78,1),(80,1),(110,1)}
         4:{1,3,6,7}:{(1,1),(9,1),(12,1),(13,1),(34,1),(51,1),(78,1),(84,1),(113,1)}
         5:{2,3,6,7}:{(1,1),(10,1),(12,1),(14,1),(34,1),(52,1),(80,1),(85,1),(114,1)}
         6:{3,5,7}:{(1,1),(2,1),(15,1),(16,1),(138,1)}
         7:{1,2,5,6}:{(2,1),(15,1),(17,1),(36,1),(38,1),(90,1),(91,1)}
         8:{1,2,4,5,7}:{(2,1),(16,1),(17,1),(18,1),(37,1),(39,1),(42,1),(47,1),(49,1),(50,1),(53,1),(79,1),(81,1),(82,1),(90,1),(91,1)}
         9:{1,4,6,7}:{(3,1),(4,1),(20,1),(26,1),(57,1),(68,1),(70,1),(100,1),(122,1)}
        10:{2,4,6,7}:{(3,1),(5,1),(21,1),(28,1),(59,1),(65,1),(71,1),(99,1),(123,1)}
        11:{3,5,7}:{(3,1),(20,1),(21,1),(22,1),(23,1),(69,1),(121,1)}
        12:{1,2,6,7}:{(4,1),(5,1),(24,1),(73,1),(99,1),(100,1),(104,1),(125,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(20,1),(24,1),(25,1),(26,1),(54,1),(58,1),(62,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(21,1),(24,1),(27,1),(28,1),(54,1),(60,1),(62,1)}
        15:{3,5,6}:{(6,1),(7,1),(29,1),(31,1),(69,1)}
        16:{4,7}:{(6,1),(29,1),(139,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(29,1),(31,1),(57,1),(59,1),(70,1),(71,1),(73,1),(99,1),(100,1)}
        18:{3,5,7}:{(8,1),(30,1),(31,1),(62,1),(69,1),(101,1)}
        19:{1,2,4,6,7}:{(9,1),(10,1),(12,1),(34,1),(35,1),(42,1),(75,1),(76,1),(92,1)}
        20:{1,5,7}:{(9,1),(11,1),(36,1),(90,1),(130,1)}
        21:{2,5,7}:{(10,1),(11,1),(38,1),(91,1),(131,1)}
        22:{3,5,6}:{(11,1),(36,1),(38,1),(40,1),(78,1),(80,1)}
        23:{4,5,7}:{(11,1),(16,1),(40,1),(47,1),(75,1),(109,1)}
        24:{1,2,5,7}:{(12,1),(13,1),(14,1),(41,1),(42,1),(79,1),(81,1)}
        25:{1,3,5,6}:{(13,1),(15,1),(36,1),(41,1),(43,1),(51,1),(74,1),(78,1),(83,1),(86,1),(90,1),(113,1),(117,1),(120,1),(130,1),(138,1)}
        26:{1,4,7}:{(13,1),(16,1),(43,1),(44,1),(75,1)}
        27:{2,3,5,6}:{(14,1),(15,1),(38,1),(41,1),(45,1),(52,1),(74,1),(80,1),(83,1),(88,1),(91,1),(114,1),(118,1),(120,1),(131,1),(138,1)}
        28:{2,4,7}:{(14,1),(16,1),(45,1),(46,1),(75,1)}
        29:{4,6}:{(15,1),(16,1),(47,1)}
        30:{3,4,7}:{(16,1),(18,1),(48,1),(49,1),(50,1),(93,1),(116,1)}
        31:{3,6}:{(17,1),(18,1)}
        32:{1,3,5,7}:{(18,1),(49,1),(51,1),(53,1),(81,1),(84,1),(90,1),(93,1),(117,1),(120,1)}
        33:{2,3,5,7}:{(18,1),(50,1),(52,1),(53,1),(79,1),(85,1),(91,1),(93,1),(118,1),(120,1)}
        34:{3,6,7}:{(19,1),(54,1),(62,1),(96,1),(108,1)}
        35:{1,2,5,7}:{(19,1),(20,1),(21,1),(54,1),(55,1),(107,1)}
        36:{1,5,6}:{(20,1),(22,1),(57,1),(100,1)}
        37:{1,4,5,7}:{(20,1),(23,1),(26,1),(57,1),(58,1),(63,1)}
        38:{2,5,6}:{(21,1),(22,1),(59,1),(99,1)}
        39:{2,4,5,7}:{(21,1),(23,1),(28,1),(59,1),(60,1),(66,1)}
        40:{4,6}:{(22,1),(23,1)}
        41:{1,2,5,6}:{(24,1),(25,1),(27,1),(61,1),(73,1),(99,1),(100,1),(105,1),(106,1),(107,1),(125,1),(128,1),(135,1)}
        42:{1,2,4,7}:{(24,1),(26,1),(28,1),(61,1),(62,1),(65,1),(68,1),(104,1)}
        43:{1,4,6}:{(25,1),(26,1),(29,1),(63,1),(64,1),(94,1),(126,1),(129,1),(139,1)}
        44:{3,4,7}:{(26,1),(58,1),(62,1),(64,1),(65,1)}
        45:{2,4,6}:{(27,1),(28,1),(29,1),(66,1),(67,1),(94,1),(127,1),(129,1),(139,1)}
        46:{3,4,7}:{(28,1),(60,1),(62,1),(67,1),(68,1)}
        47:{4,5}:{(29,1),(69,1),(129,1)}
        48:{3,4,6}:{(29,1),(30,1),(31,1),(69,1),(70,1),(71,1),(108,1),(129,1)}
        49:{1,4,7}:{(30,1),(32,1),(70,1),(126,1),(129,1)}
        50:{2,4,7}:{(30,1),(33,1),(71,1),(127,1),(129,1)}
        51:{1,3,6}:{(31,1),(32,1),(70,1),(73,1),(100,1),(108,1)}
        52:{2,3,6}:{(31,1),(33,1),(71,1),(73,1),(99,1),(108,1)}
        53:{1,2,5,7}:{(32,1),(33,1),(72,1),(73,1),(104,1),(107,1),(128,1)}
        54:{3,5,7}:{(34,1),(35,1),(74,1),(75,1),(120,1)}
        55:{1,2,5,6}:{(35,1),(36,1),(38,1),(74,1),(76,1),(130,1),(131,1)}
        56:{1,2,4,5,7}:{(35,1),(37,1),(39,1),(42,1),(75,1),(76,1),(77,1),(79,1),(81,1),(82,1),(109,1),(111,1),(112,1),(115,1),(130,1),(131,1)}
        57:{1,4,6}:{(36,1),(37,1),(40,1),(78,1)}
        58:{3,5,7}:{(37,1),(44,1),(78,1),(79,1),(86,1)}
        59:{2,4,6}:{(38,1),(39,1),(40,1),(80,1)}
        60:{3,5,7}:{(39,1),(46,1),(80,1),(81,1),(88,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(43,1),(45,1),(82,1),(83,1),(87,1),(89,1),(119,1),(134,1)}
        62:{3,7}:{(42,1),(83,1)}
        63:{1,4,5}:{(43,1),(47,1),(86,1),(90,1),(109,1),(130,1)}
        64:{3,4,6}:{(43,1),(44,1),(78,1),(83,1),(86,1),(87,1),(116,1)}
        65:{2,4,7}:{(44,1),(79,1),(85,1),(87,1)}
        66:{2,4,5}:{(45,1),(47,1),(88,1),(91,1),(109,1),(131,1)}
        67:{3,4,6}:{(45,1),(46,1),(80,1),(83,1),(88,1),(89,1),(116,1)}
        68:{1,4,7}:{(46,1),(81,1),(84,1),(89,1)}
        69:{3,5}:{(47,1),(48,1),(90,1),(91,1)}
        70:{1,4,6}:{(48,1),(49,1),(51,1),(90,1)}
        71:{2,4,6}:{(48,1),(50,1),(52,1),(91,1)}
        72:{1,2,4,7}:{(49,1),(50,1),(53,1),(92,1),(93,1),(134,1)}
        73:{1,2,6}:{(51,1),(52,1),(53,1)}
        74:{3,5,6}:{(54,1),(55,1),(94,1),(96,1),(121,1)}
        75:{4,7}:{(54,1),(94,1),(129,1)}
        76:{1,2,4,6}:{(55,1),(56,1),(57,1),(59,1),(94,1),(96,1),(99,1),(100,1),(122,1),(123,1),(125,1)}
        77:{3,5,7}:{(56,1),(62,1),(95,1),(96,1),(101,1),(121,1)}
        78:{3,6}:{(57,1),(58,1),(99,1)}
        79:{2,5,7}:{(58,1),(65,1),(99,1),(105,1)}
        80:{3,6}:{(59,1),(60,1),(100,1)}
        81:{1,5,7}:{(60,1),(68,1),(100,1),(106,1)}
        82:{1,2,4,5}:{(61,1),(63,1),(66,1),(101,1),(105,1),(106,1),(107,1),(126,1),(127,1),(128,1),(129,1),(135,1),(139,1)}
        83:{3,6}:{(61,1),(62,1),(101,1),(137,1)}
        84:{1,3,7}:{(62,1),(68,1),(102,1),(104,1)}
        85:{2,3,7}:{(62,1),(65,1),(103,1),(104,1)}
        86:{3,5}:{(63,1),(64,1),(105,1)}
        87:{2,4,6}:{(64,1),(65,1),(99,1),(103,1),(105,1),(127,1)}
        88:{3,5}:{(66,1),(67,1),(106,1)}
        89:{1,4,6}:{(67,1),(68,1),(100,1),(102,1),(106,1),(126,1)}
        90:{1,5}:{(69,1),(70,1)}
        91:{2,5}:{(69,1),(71,1)}
        92:{1,2,4,6}:{(70,1),(71,1),(72,1),(73,1),(107,1),(108,1),(129,1)}
        93:{3,7}:{(72,1),(108,1),(137,1)}
        94:{4,6}:{(74,1),(75,1),(109,1)}
        95:{3,4,7}:{(75,1),(77,1),(110,1),(111,1),(112,1),(116,1),(133,1)}
        96:{3,6}:{(76,1),(77,1)}
        97:{1,3,5,7}:{(77,1),(81,1),(84,1),(111,1),(113,1),(115,1),(117,1),(130,1),(133,1),(138,1)}
        98:{2,3,5,7}:{(77,1),(79,1),(85,1),(112,1),(114,1),(115,1),(118,1),(131,1),(133,1),(138,1)}
        99:{2,6}:{(78,1),(79,1)}
       100:{1,6}:{(80,1),(81,1)}
       101:{3,5}:{(82,1),(83,1),(116,1)}
       102:{1,3,6}:{(83,1),(84,1),(89,1),(117,1),(119,1)}
       103:{2,3,6}:{(83,1),(85,1),(87,1),(118,1),(119,1)}
       104:{1,2,7}:{(84,1),(85,1),(119,1)}
       105:{2,5}:{(86,1),(87,1)}
       106:{1,5}:{(88,1),(89,1)}
       107:{1,2,5}:{(90,1),(91,1),(92,1),(120,1)}
       108:{3,6}:{(92,1),(93,1),(120,1)}
       109:{4,5}:{(94,1),(121,1),(139,1)}
       110:{3,4,6}:{(94,1),(95,1),(96,1),(121,1),(122,1),(123,1),(136,1),(139,1)}
       111:{1,4,7}:{(95,1),(97,1),(122,1),(126,1),(139,1)}
       112:{2,4,7}:{(95,1),(98,1),(123,1),(127,1),(139,1)}
       113:{1,3,6}:{(96,1),(97,1),(100,1),(122,1),(125,1),(136,1)}
       114:{2,3,6}:{(96,1),(98,1),(99,1),(123,1),(125,1),(136,1)}
       115:{1,2,5,7}:{(97,1),(98,1),(104,1),(124,1),(125,1),(128,1),(135,1)}
       116:{3,4}:{(101,1),(126,1),(127,1),(129,1),(137,1),(139,1)}
       117:{1,3,5}:{(101,1),(102,1),(106,1),(126,1),(128,1),(137,1)}
       118:{2,3,5}:{(101,1),(103,1),(105,1),(127,1),(128,1),(137,1)}
       119:{1,2,6}:{(102,1),(103,1),(104,1),(128,1)}
       120:{3,5}:{(107,1),(108,1),(129,1)}
       121:{3,5}:{(109,1),(110,1),(130,1),(131,1)}
       122:{1,4,6}:{(110,1),(111,1),(113,1),(130,1)}
       123:{2,4,6}:{(110,1),(112,1),(114,1),(131,1)}
       124:{1,2,4,7}:{(111,1),(112,1),(115,1),(132,1),(133,1),(134,1)}
       125:{1,2,6}:{(113,1),(114,1),(115,1)}
       126:{1,4}:{(116,1),(117,1)}
       127:{2,4}:{(116,1),(118,1)}
       128:{1,2,5}:{(117,1),(118,1),(119,1),(134,1)}
       129:{4}:{(120,1)}
       130:{1,5}:{(121,1),(122,1)}
       131:{2,5}:{(121,1),(123,1)}
       132:{1,2,4,6}:{(122,1),(123,1),(124,1),(125,1),(135,1),(136,1),(139,1)}
       133:{3,7}:{(124,1),(136,1),(137,1)}
       134:{1,2,4}:{(126,1),(127,1),(128,1),(137,1)}
       135:{1,2,5}:{(130,1),(131,1),(132,1),(138,1)}
       136:{3,6}:{(132,1),(133,1),(138,1)}
       137:{3}:{(134,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{4}:{(138,1)}

 215 :  0:{1,2,4,5}:{(1,1),(2,1),(9,1),(10,1),(12,1),(31,1),(33,1),(35,1)}
        1:{3,5}:{(0,1),(3,1),(6,1)}
        2:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(19,1),(20,1),(23,1),(26,1)}
        3:{3,4}:{(1,1),(9,1),(10,1),(29,1)}
        4:{1,3,5}:{(1,1),(9,1),(12,1),(13,1),(29,1),(31,1),(48,1)}
        5:{2,3,5}:{(1,1),(10,1),(12,1),(14,1),(29,1),(33,1),(48,1)}
        6:{3,6}:{(1,1),(2,1),(16,1)}
        7:{1,2,5,6}:{(2,1),(15,1),(17,1),(31,1),(33,1),(51,1),(52,1)}
        8:{1,2,4,7}:{(2,1),(16,1),(17,1),(32,1),(34,1),(37,1),(38,1)}
        9:{1,4}:{(3,1),(4,1),(55,1)}
       10:{2,4}:{(3,1),(5,1),(55,1)}
       11:{3,4,6}:{(3,1),(6,1),(19,1),(20,1),(21,1),(22,1),(26,1),(40,1),(46,1),(55,1),(61,1)}
       12:{1,2,5}:{(4,1),(5,1),(18,1),(23,1)}
       13:{1,3,6}:{(4,1),(6,1),(19,1),(23,1),(24,1),(40,1)}
       14:{2,3,6}:{(5,1),(6,1),(20,1),(23,1),(25,1),(40,1)}
       15:{3,5,6}:{(6,1),(7,1),(21,1),(26,1),(27,1),(46,1),(58,1)}
       16:{3,7}:{(6,1),(8,1)}
       17:{1,2,5,7}:{(7,1),(8,1),(27,1),(28,1),(43,1),(44,1)}
       18:{1,2,4}:{(9,1),(10,1),(12,1),(29,1)}
       19:{1,4,6}:{(9,1),(11,1),(13,1),(31,1),(32,1),(51,1)}
       20:{2,4,6}:{(10,1),(11,1),(14,1),(33,1),(34,1),(52,1)}
       21:{3,5}:{(11,1),(31,1),(33,1),(35,1),(62,1)}
       22:{3,4,7}:{(11,1),(16,1),(32,1),(34,1),(36,1),(38,1),(49,1),(59,1)}
       23:{1,2,6}:{(12,1),(13,1),(14,1),(37,1)}
       24:{1,3,7}:{(13,1),(16,1),(32,1),(37,1),(49,1)}
       25:{2,3,7}:{(14,1),(16,1),(34,1),(37,1),(49,1)}
       26:{4,6}:{(15,1),(35,1),(38,1)}
       27:{3,5,7}:{(15,1),(16,1),(17,1),(38,1),(39,1),(54,1)}
       28:{1,2,6,7}:{(17,1),(39,1),(51,1),(52,1)}
       29:{3}:{(18,1)}
       30:{1,2,4,6}:{(18,1),(19,1),(20,1),(23,1),(40,1),(41,1),(42,1),(55,1),(57,1),(61,1)}
       31:{1,5}:{(19,1),(21,1)}
       32:{1,4,7}:{(19,1),(22,1),(24,1),(43,1)}
       33:{2,5}:{(20,1),(21,1)}
       34:{2,4,7}:{(20,1),(22,1),(25,1),(44,1)}
       35:{4,5}:{(21,1),(26,1),(55,1)}
       36:{3,5,7}:{(21,1),(22,1),(43,1),(44,1),(45,1),(46,1)}
       37:{1,2,7}:{(23,1),(24,1),(25,1)}
       38:{4,7}:{(26,1),(27,1)}
       39:{3,6,7}:{(27,1),(28,1),(46,1),(47,1)}
       40:{3,6}:{(29,1),(30,1),(48,1),(49,1)}
       41:{1,2,5}:{(30,1),(31,1),(33,1),(48,1),(62,1)}
       42:{1,2,4,7}:{(30,1),(32,1),(34,1),(37,1),(49,1),(50,1),(59,1)}
       43:{1,5,7}:{(31,1),(32,1),(36,1),(51,1)}
       44:{2,5,7}:{(33,1),(34,1),(36,1),(52,1)}
       45:{4,5,7}:{(35,1),(36,1),(38,1),(53,1),(54,1),(59,1),(62,1)}
       46:{3,6}:{(36,1),(51,1),(52,1),(53,1)}
       47:{4,6,7}:{(38,1),(39,1),(53,1),(54,1)}
       48:{3,5}:{(40,1),(41,1),(55,1)}
       49:{3,7}:{(40,1),(42,1)}
       50:{1,2,5,7}:{(41,1),(42,1),(43,1),(44,1),(56,1),(57,1)}
       51:{1,6}:{(43,1),(46,1)}
       52:{2,6}:{(44,1),(46,1)}
       53:{4,6}:{(45,1),(46,1),(58,1)}
       54:{5,7}:{(47,1),(58,1)}
       55:{4}:{(48,1)}
       56:{3,5,7}:{(48,1),(49,1),(50,1),(59,1),(60,1),(62,1)}
       57:{1,2,6}:{(50,1),(51,1),(52,1),(60,1)}
       58:{5,6}:{(53,1),(54,1),(62,1)}
       59:{4,7}:{(55,1),(56,1),(61,1)}
       60:{3,6}:{(56,1),(57,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

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

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

 218 :  0:{1,3,4}:{(2,1),(3,1),(37,1)}
        1:{3,4,5}:{(4,1),(5,1),(6,1),(22,1),(71,1)}
        2:{1,3,5}:{(0,1),(4,1),(7,1),(8,1),(22,1)}
        3:{1,2,4}:{(0,1),(7,1),(9,1),(30,1)}
        4:{1,4,5}:{(1,1),(2,1),(12,1)}
        5:{2,4,5}:{(1,1),(10,1),(13,1)}
        6:{3,4,6}:{(1,1),(12,1),(13,1),(14,1),(15,1),(38,1),(64,1)}
        7:{1,2,5}:{(2,1),(3,1),(16,1),(17,1)}
        8:{1,3,6}:{(2,1),(12,1),(17,1),(18,1),(38,1)}
        9:{2,3}:{(3,1)}
       10:{2,3,5}:{(5,1),(19,1),(20,1),(21,1),(22,1)}
       11:{1,2,4,5}:{(4,1),(5,1),(7,1),(20,1),(22,1),(23,1),(30,1),(48,1),(58,1),(69,1),(71,1)}
       12:{1,4,6}:{(4,1),(6,1),(8,1),(24,1),(25,1)}
       13:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1)}
       14:{3,5,6}:{(6,1),(24,1),(26,1),(28,1),(29,1)}
       15:{3,4,7}:{(6,1),(25,1),(27,1),(29,1),(53,1),(73,1)}
       16:{2,3,5}:{(7,1),(9,1),(22,1),(30,1),(31,1),(58,1)}
       17:{1,2,6}:{(7,1),(8,1),(31,1),(32,1)}
       18:{1,3,7}:{(8,1),(25,1),(32,1),(53,1)}
       19:{2,3,4}:{(10,1),(33,1),(37,1)}
       20:{1,2,5}:{(10,1),(33,1),(34,1),(35,1)}
       21:{2,3,6}:{(10,1),(13,1),(35,1),(36,1),(38,1)}
       22:{3,5}:{(11,1),(37,1),(38,1)}
       23:{1,2,4,6}:{(11,1),(12,1),(13,1),(17,1),(35,1),(38,1),(39,1),(40,1),(45,1),(60,1),(64,1)}
       24:{1,5,6}:{(12,1),(14,1),(41,1)}
       25:{1,4,7}:{(12,1),(15,1),(18,1),(41,1)}
       26:{2,5,6}:{(13,1),(14,1),(42,1)}
       27:{2,4,7}:{(13,1),(15,1),(36,1),(42,1)}
       28:{4,5,6}:{(14,1),(43,1),(64,1),(83,1)}
       29:{3,5,7}:{(14,1),(15,1),(41,1),(42,1),(43,1),(44,1)}
       30:{2,4}:{(16,1),(37,1)}
       31:{2,3,6}:{(16,1),(17,1),(38,1),(45,1),(46,1)}
       32:{1,2,7}:{(17,1),(18,1),(46,1)}
       33:{1,2,4}:{(19,1),(20,1),(47,1),(48,1)}
       34:{1,3,5}:{(20,1),(22,1),(47,1),(48,1),(49,1),(69,1)}
       35:{1,2,6}:{(20,1),(21,1),(49,1),(50,1)}
       36:{2,3,7}:{(21,1),(27,1),(50,1),(53,1)}
       37:{3,4}:{(22,1),(30,1),(48,1)}
       38:{3,6}:{(22,1),(23,1),(53,1)}
       39:{1,2,5,6}:{(23,1),(24,1),(26,1),(52,1),(54,1),(58,1),(69,1),(75,1),(80,1)}
       40:{1,2,4,7}:{(23,1),(25,1),(27,1),(32,1),(50,1),(53,1),(54,1),(59,1),(70,1),(73,1)}
       41:{1,5,7}:{(24,1),(25,1),(29,1),(55,1)}
       42:{2,5,7}:{(26,1),(27,1),(29,1),(56,1)}
       43:{4,5,7}:{(28,1),(29,1),(57,1),(73,1),(82,1)}
       44:{3,6,7}:{(29,1),(55,1),(56,1),(57,1)}
       45:{2,4,6}:{(30,1),(31,1),(51,1),(58,1),(59,1),(75,1)}
       46:{2,3,7}:{(31,1),(32,1),(53,1),(59,1)}
       47:{1,3}:{(33,1)}
       48:{1,4}:{(34,1),(37,1)}
       49:{1,3,6}:{(34,1),(35,1),(38,1),(60,1),(61,1)}
       50:{1,2,7}:{(35,1),(36,1),(61,1)}
       51:{3,4,6}:{(37,1),(38,1),(45,1),(60,1),(62,1),(63,1),(64,1),(78,1)}
       52:{3,5,6}:{(38,1),(39,1),(62,1),(64,1),(65,1),(78,1),(83,1)}
       53:{3,7}:{(38,1),(40,1)}
       54:{1,2,5,7}:{(39,1),(40,1),(41,1),(42,1),(65,1),(66,1),(68,1),(76,1)}
       55:{1,6,7}:{(41,1),(44,1)}
       56:{2,6,7}:{(42,1),(44,1)}
       57:{4,6,7}:{(43,1),(44,1),(67,1)}
       58:{2,5}:{(45,1),(62,1)}
       59:{2,4,7}:{(45,1),(46,1),(63,1),(68,1)}
       60:{1,4,6}:{(48,1),(49,1),(51,1),(69,1),(70,1),(80,1)}
       61:{1,3,7}:{(49,1),(50,1),(53,1),(70,1)}
       62:{3,5}:{(51,1),(58,1),(69,1),(71,1)}
       63:{3,4,7}:{(51,1),(53,1),(59,1),(70,1),(72,1),(73,1)}
       64:{4,6}:{(52,1),(71,1),(73,1)}
       65:{3,5,7}:{(52,1),(53,1),(54,1),(73,1),(74,1),(82,1)}
       66:{1,2,6,7}:{(54,1),(55,1),(56,1),(74,1),(75,1),(80,1)}
       67:{5,6,7}:{(57,1),(82,1)}
       68:{2,5,7}:{(58,1),(59,1),(72,1),(75,1)}
       69:{1,5}:{(60,1),(62,1)}
       70:{1,4,7}:{(60,1),(61,1),(63,1),(76,1)}
       71:{4,5}:{(62,1),(64,1)}
       72:{3,5,7}:{(62,1),(63,1),(68,1),(76,1),(77,1),(78,1)}
       73:{4,7}:{(64,1),(65,1)}
       74:{3,6,7}:{(65,1),(66,1),(78,1),(79,1)}
       75:{2,6}:{(68,1),(78,1)}
       76:{1,5,7}:{(69,1),(70,1),(72,1),(80,1)}
       77:{4,5,7}:{(71,1),(72,1),(73,1),(81,1),(82,1)}
       78:{3,6}:{(72,1),(75,1),(80,1),(81,1)}
       79:{4,6,7}:{(73,1),(74,1),(81,1),(82,1)}
       80:{1,6}:{(76,1),(78,1)}
       81:{4,6}:{(77,1),(78,1),(83,1)}
       82:{5,7}:{(79,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 219 :   0:{1,3,6,7}:{(2,1),(4,1),(5,1),(20,1),(76,1),(118,1),(145,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(24,1),(27,1),(29,1),(63,1),(68,1),(76,1),(118,1),(151,1),(168,1)}
         2:{1,2,6,7}:{(0,1),(7,1),(10,1),(101,1),(125,1),(139,1),(159,1)}
         3:{1,2,5,6}:{(1,1),(8,1),(10,1),(11,1),(51,1),(83,1),(97,1),(101,1),(125,1),(139,1),(162,1)}
         4:{1,4,6,7}:{(0,1),(12,1),(13,1),(15,1),(49,1),(133,1),(135,1),(140,1)}
         5:{1,3,5,7}:{(0,1),(1,1),(10,1),(13,1),(15,1),(39,1),(43,1),(50,1)}
         6:{1,4,6}:{(1,1),(14,1),(15,1),(16,1),(90,1),(92,1),(172,1)}
         7:{2,3,6,7}:{(2,1),(17,1),(18,1),(20,1),(105,1),(119,1),(146,1)}
         8:{2,3,5,6}:{(3,1),(18,1),(19,1),(24,1),(55,1),(57,1),(63,1),(69,1),(105,1),(119,1),(152,1),(168,1)}
         9:{1,2,4,6,7}:{(2,1),(4,1),(17,1),(20,1),(21,1),(23,1),(25,1),(53,1),(60,1),(64,1),(66,1),(108,1),(153,1)}
        10:{1,2,5,7}:{(2,1),(3,1),(5,1),(18,1),(23,1),(77,1),(106,1)}
        11:{1,2,4,6}:{(3,1),(6,1),(19,1),(22,1),(23,1),(24,1),(31,1),(59,1),(72,1),(117,1)}
        12:{3,4,6,7}:{(4,1),(20,1),(25,1),(26,1),(30,1),(64,1),(75,1),(76,1),(112,1),(114,1),(121,1)}
        13:{1,5,7}:{(4,1),(26,1),(27,1),(151,1)}
        14:{1,4,5}:{(6,1),(29,1),(113,1),(151,1)}
        15:{1,4,7}:{(5,1),(6,1),(30,1),(64,1)}
        16:{3,4,6}:{(6,1),(24,1),(29,1),(30,1),(31,1),(65,1),(76,1)}
        17:{2,4,6,7}:{(7,1),(32,1),(33,1),(35,1),(81,1),(130,1),(136,1),(155,1)}
        18:{2,3,5,7}:{(7,1),(8,1),(10,1),(33,1),(35,1),(39,1),(43,1),(82,1)}
        19:{2,4,6}:{(8,1),(34,1),(35,1),(36,1),(90,1),(93,1),(172,1)}
        20:{3,6,7}:{(9,1),(39,1),(43,1),(94,1),(127,1),(163,1)}
        21:{1,2,5,7}:{(9,1),(13,1),(33,1),(39,1),(40,1),(46,1),(78,1),(162,1)}
        22:{1,2,4,5}:{(11,1),(14,1),(34,1),(42,1),(51,1),(83,1),(92,1),(93,1),(97,1),(162,1),(172,1)}
        23:{1,2,4,7}:{(10,1),(11,1),(15,1),(35,1),(43,1),(52,1),(84,1),(98,1)}
        24:{3,6}:{(11,1),(42,1),(43,1),(138,1)}
        25:{2,4,6,7}:{(12,1),(38,1),(46,1),(52,1),(89,1),(99,1),(101,1),(136,1)}
        26:{3,5,7}:{(12,1),(13,1),(46,1),(47,1),(48,1),(134,1)}
        27:{1,5,6}:{(13,1),(47,1),(49,1),(140,1)}
        28:{1,4,5,7}:{(13,1),(14,1),(15,1),(48,1),(49,1),(50,1)}
        29:{3,5}:{(14,1),(16,1),(51,1)}
        30:{3,4,7}:{(15,1),(16,1),(43,1),(50,1),(52,1)}
        31:{2,4,6}:{(16,1),(45,1),(51,1),(52,1),(93,1),(101,1)}
        32:{3,4,6,7}:{(17,1),(20,1),(53,1),(54,1),(58,1),(64,1),(104,1),(105,1),(110,1),(114,1),(141,1)}
        33:{2,5,7}:{(17,1),(54,1),(55,1),(152,1)}
        34:{2,4,5}:{(19,1),(57,1),(113,1),(152,1)}
        35:{2,4,7}:{(18,1),(19,1),(58,1),(64,1)}
        36:{3,4,6}:{(19,1),(24,1),(57,1),(58,1),(59,1),(65,1),(105,1)}
        37:{1,3,6,7}:{(20,1),(53,1),(60,1),(61,1),(70,1),(118,1),(141,1)}
        38:{2,3,6,7}:{(20,1),(25,1),(60,1),(62,1),(71,1),(119,1),(121,1)}
        39:{3,5,7}:{(20,1),(21,1),(63,1),(64,1),(168,1)}
        40:{1,2,5,6}:{(21,1),(27,1),(55,1),(63,1),(66,1),(73,1),(102,1),(151,1),(152,1)}
        41:{1,2,4,5,7}:{(21,1),(22,1),(23,1),(28,1),(56,1),(64,1),(66,1),(67,1),(74,1),(77,1),(103,1),(106,1),(108,1),(113,1),(115,1),(116,1),(120,1),(122,1),(142,1),(143,1),(151,1),(152,1)}
        42:{3,5}:{(22,1),(24,1),(65,1)}
        43:{3,7}:{(23,1),(24,1)}
        44:{1,3,6}:{(24,1),(59,1),(68,1),(70,1),(72,1)}
        45:{2,3,6}:{(24,1),(31,1),(69,1),(71,1),(72,1)}
        46:{2,5,7}:{(25,1),(26,1),(73,1),(152,1)}
        47:{3,5,6}:{(26,1),(27,1),(73,1),(75,1),(76,1),(121,1)}
        48:{4,5,7}:{(26,1),(64,1),(75,1),(113,1)}
        49:{1,4,6}:{(27,1),(28,1),(75,1),(76,1)}
        50:{3,5,7}:{(28,1),(29,1),(30,1),(76,1),(77,1)}
        51:{2,5}:{(29,1),(31,1)}
        52:{2,4,7}:{(30,1),(31,1),(71,1),(77,1)}
        53:{1,4,6,7}:{(32,1),(37,1),(78,1),(84,1),(87,1),(123,1),(125,1),(135,1)}
        54:{3,5,7}:{(32,1),(33,1),(78,1),(79,1),(80,1),(134,1)}
        55:{2,5,6}:{(33,1),(79,1),(81,1),(155,1)}
        56:{2,4,5,7}:{(33,1),(34,1),(35,1),(80,1),(81,1),(82,1)}
        57:{3,5}:{(34,1),(36,1),(83,1)}
        58:{3,4,7}:{(35,1),(36,1),(43,1),(82,1),(84,1)}
        59:{1,4,6}:{(36,1),(44,1),(83,1),(84,1),(92,1),(125,1)}
        60:{1,2,6,7}:{(37,1),(38,1),(85,1),(98,1),(139,1),(140,1),(155,1)}
        61:{1,3,5,7}:{(37,1),(39,1),(78,1),(85,1),(86,1),(87,1),(124,1),(127,1)}
        62:{2,3,5,7}:{(38,1),(39,1),(46,1),(85,1),(88,1),(89,1),(100,1),(127,1)}
        63:{3,5,6}:{(39,1),(40,1),(90,1),(94,1),(134,1)}
        64:{4,7}:{(39,1),(90,1),(172,1)}
        65:{3,4}:{(42,1),(92,1),(93,1),(138,1),(172,1)}
        66:{1,2,4,6}:{(40,1),(41,1),(49,1),(81,1),(90,1),(94,1),(99,1),(101,1),(123,1),(125,1),(135,1),(136,1),(139,1),(140,1),(155,1)}
        67:{3,5,7}:{(41,1),(42,1),(43,1),(91,1),(94,1),(127,1),(134,1),(156,1)}
        68:{1,3,5}:{(42,1),(44,1),(83,1),(92,1),(97,1),(138,1)}
        69:{2,3,5}:{(42,1),(45,1),(51,1),(93,1),(97,1),(138,1)}
        70:{1,3,7}:{(43,1),(44,1),(84,1),(98,1)}
        71:{2,3,7}:{(43,1),(45,1),(52,1),(98,1)}
        72:{1,2,6}:{(44,1),(45,1),(97,1),(98,1)}
        73:{2,5,6}:{(46,1),(47,1),(99,1),(101,1)}
        74:{2,4,5,7}:{(46,1),(48,1),(89,1),(99,1),(100,1),(131,1)}
        75:{4,6}:{(47,1),(48,1)}
        76:{3,6}:{(49,1),(50,1),(101,1)}
        77:{2,5,7}:{(50,1),(51,1),(52,1),(101,1)}
        78:{1,5,7}:{(53,1),(54,1),(102,1),(151,1)}
        79:{3,5,6}:{(54,1),(55,1),(102,1),(104,1),(105,1),(141,1)}
        80:{4,5,7}:{(54,1),(64,1),(104,1),(113,1)}
        81:{2,4,6}:{(55,1),(56,1),(104,1),(105,1)}
        82:{3,5,7}:{(56,1),(57,1),(58,1),(105,1),(106,1)}
        83:{1,5}:{(57,1),(59,1)}
        84:{1,4,7}:{(58,1),(59,1),(70,1),(106,1)}
        85:{1,2,5,7}:{(60,1),(61,1),(62,1),(107,1),(108,1),(122,1),(142,1)}
        86:{1,3,5,6}:{(61,1),(63,1),(102,1),(107,1),(109,1),(118,1),(141,1),(144,1),(147,1),(151,1),(165,1),(168,1)}
        87:{1,4,7}:{(61,1),(64,1),(109,1),(110,1)}
        88:{2,3,5,6}:{(62,1),(63,1),(73,1),(107,1),(111,1),(119,1),(121,1),(144,1),(149,1),(152,1),(166,1),(168,1)}
        89:{2,4,7}:{(62,1),(64,1),(111,1),(112,1)}
        90:{4,6}:{(63,1),(64,1),(113,1)}
        91:{3,4,7}:{(64,1),(65,1),(67,1),(114,1),(115,1),(116,1),(154,1),(164,1)}
        92:{1,4}:{(65,1),(68,1)}
        93:{2,4}:{(65,1),(69,1)}
        94:{3,6}:{(66,1),(67,1)}
        95:{1,3,5,7}:{(67,1),(68,1),(70,1),(106,1),(115,1),(118,1),(120,1),(122,1),(145,1),(151,1),(154,1),(165,1),(168,1)}
        96:{2,3,5,7}:{(67,1),(69,1),(71,1),(77,1),(116,1),(119,1),(120,1),(142,1),(146,1),(152,1),(154,1),(166,1),(168,1)}
        97:{1,2,5}:{(68,1),(69,1),(72,1),(117,1)}
        98:{1,2,7}:{(70,1),(71,1),(72,1)}
        99:{2,4,6}:{(73,1),(74,1),(75,1),(121,1)}
       100:{3,5,7}:{(74,1),(112,1),(121,1),(122,1),(149,1)}
       101:{2,6}:{(76,1),(77,1)}
       102:{1,5,6}:{(78,1),(79,1),(123,1),(125,1)}
       103:{1,4,5,7}:{(78,1),(80,1),(87,1),(123,1),(124,1),(128,1)}
       104:{4,6}:{(79,1),(80,1)}
       105:{3,6}:{(81,1),(82,1),(125,1)}
       106:{1,5,7}:{(82,1),(83,1),(84,1),(125,1)}
       107:{1,2,5,6}:{(85,1),(86,1),(88,1),(126,1),(139,1),(140,1),(155,1),(160,1),(161,1),(162,1),(171,1)}
       108:{1,2,4,7}:{(85,1),(87,1),(89,1),(126,1),(127,1),(130,1),(133,1),(159,1)}
       109:{1,4,6}:{(86,1),(87,1),(90,1),(128,1),(129,1),(169,1),(172,1)}
       110:{3,4,7}:{(87,1),(124,1),(127,1),(129,1),(130,1)}
       111:{2,4,6}:{(88,1),(89,1),(90,1),(131,1),(132,1),(170,1),(172,1)}
       112:{3,4,7}:{(89,1),(100,1),(127,1),(132,1),(133,1)}
       113:{4,5}:{(90,1),(134,1),(172,1)}
       114:{3,4,6}:{(90,1),(91,1),(94,1),(134,1),(135,1),(136,1),(163,1),(172,1)}
       115:{1,4,7}:{(91,1),(92,1),(95,1),(135,1),(169,1),(172,1)}
       116:{2,4,7}:{(91,1),(93,1),(96,1),(136,1),(170,1),(172,1)}
       117:{1,2,4}:{(92,1),(93,1),(97,1),(138,1)}
       118:{1,3,6}:{(94,1),(95,1),(125,1),(135,1),(139,1),(140,1),(163,1)}
       119:{2,3,6}:{(94,1),(96,1),(101,1),(136,1),(139,1),(155,1),(163,1)}
       120:{1,2,5,7}:{(95,1),(96,1),(97,1),(98,1),(137,1),(139,1),(159,1),(162,1),(171,1)}
       121:{3,6}:{(99,1),(100,1),(140,1)}
       122:{1,5,7}:{(100,1),(133,1),(140,1),(161,1)}
       123:{1,4,6}:{(102,1),(103,1),(104,1),(141,1)}
       124:{3,5,7}:{(103,1),(110,1),(141,1),(142,1),(147,1)}
       125:{1,6}:{(105,1),(106,1)}
       126:{1,2,4,6}:{(107,1),(108,1),(109,1),(111,1),(143,1),(144,1),(148,1),(150,1),(167,1),(173,1)}
       127:{3,7}:{(108,1),(144,1)}
       128:{1,4,5}:{(109,1),(113,1),(147,1),(151,1)}
       129:{3,4,6}:{(109,1),(110,1),(141,1),(144,1),(147,1),(148,1),(164,1)}
       130:{2,4,7}:{(110,1),(142,1),(146,1),(148,1)}
       131:{2,4,5}:{(111,1),(113,1),(149,1),(152,1)}
       132:{3,4,6}:{(111,1),(112,1),(121,1),(144,1),(149,1),(150,1),(164,1)}
       133:{1,4,7}:{(112,1),(122,1),(145,1),(150,1)}
       134:{3,5}:{(113,1),(114,1),(151,1),(152,1)}
       135:{1,4,6}:{(114,1),(115,1),(118,1),(151,1)}
       136:{2,4,6}:{(114,1),(116,1),(119,1),(152,1)}
       137:{1,2,4,7}:{(115,1),(116,1),(117,1),(120,1),(153,1),(154,1),(173,1)}
       138:{3}:{(117,1)}
       139:{1,2,6}:{(118,1),(119,1),(120,1)}
       140:{1,6}:{(121,1),(122,1)}
       141:{3,6}:{(123,1),(124,1),(155,1)}
       142:{2,5,7}:{(124,1),(130,1),(155,1),(160,1)}
       143:{1,2,4,5}:{(126,1),(128,1),(131,1),(156,1),(160,1),(161,1),(162,1),(169,1),(170,1),(171,1),(172,1)}
       144:{3,6}:{(126,1),(127,1),(156,1),(174,1)}
       145:{1,3,7}:{(127,1),(133,1),(157,1),(159,1)}
       146:{2,3,7}:{(127,1),(130,1),(158,1),(159,1)}
       147:{3,5}:{(128,1),(129,1),(160,1)}
       148:{2,4,6}:{(129,1),(130,1),(155,1),(158,1),(160,1),(170,1)}
       149:{3,5}:{(131,1),(132,1),(161,1)}
       150:{1,4,6}:{(132,1),(133,1),(140,1),(157,1),(161,1),(169,1)}
       151:{1,5}:{(134,1),(135,1)}
       152:{2,5}:{(134,1),(136,1)}
       153:{1,2,4,6}:{(135,1),(136,1),(137,1),(139,1),(162,1),(163,1),(172,1)}
       154:{3,7}:{(137,1),(138,1),(163,1),(174,1)}
       155:{2,6}:{(141,1),(142,1)}
       156:{3,5}:{(143,1),(144,1),(164,1)}
       157:{1,3,6}:{(144,1),(145,1),(150,1),(165,1),(167,1)}
       158:{2,3,6}:{(144,1),(146,1),(148,1),(166,1),(167,1)}
       159:{1,2,7}:{(145,1),(146,1),(167,1)}
       160:{2,5}:{(147,1),(148,1)}
       161:{1,5}:{(149,1),(150,1)}
       162:{1,2,5}:{(151,1),(152,1),(153,1),(168,1)}
       163:{3,6}:{(153,1),(154,1),(168,1)}
       164:{3,4}:{(156,1),(169,1),(170,1),(172,1),(174,1)}
       165:{1,3,5}:{(156,1),(157,1),(161,1),(169,1),(171,1),(174,1)}
       166:{2,3,5}:{(156,1),(158,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,2,6}:{(157,1),(158,1),(159,1),(171,1)}
       168:{3,5}:{(162,1),(163,1),(172,1)}
       169:{1,4}:{(164,1),(165,1)}
       170:{2,4}:{(164,1),(166,1)}
       171:{1,2,5}:{(165,1),(166,1),(167,1),(173,1)}
       172:{4}:{(168,1)}
       173:{1,2,4}:{(169,1),(170,1),(171,1),(174,1)}
       174:{3}:{(173,1)}

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

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

 222 :   0:{2,5,6}:{(2,1),(3,1),(4,1),(45,1),(49,1),(87,1)}
         1:{2,4,5}:{(3,1),(5,1),(17,1),(22,1),(49,1)}
         2:{3,5,6}:{(0,1),(6,1),(7,1),(8,1),(10,1),(28,1),(32,1),(70,1),(71,1)}
         3:{2,4,6}:{(0,1),(1,1),(7,1),(10,1),(11,1)}
         4:{2,5,7}:{(0,1),(8,1),(11,1),(12,1),(65,1)}
         5:{3,5}:{(1,1),(9,1),(10,1),(13,1)}
         6:{1,5,6}:{(2,1),(15,1),(16,1),(23,1),(48,1),(86,1)}
         7:{4,6}:{(2,1),(17,1),(19,1)}
         8:{3,5,7}:{(2,1),(4,1),(16,1),(19,1),(20,1),(25,1),(46,1),(55,1)}
         9:{3,4}:{(5,1),(21,1),(22,1),(56,1)}
        10:{3,6}:{(3,1),(5,1),(23,1),(25,1)}
        11:{2,4,7}:{(3,1),(4,1),(19,1),(25,1)}
        12:{2,6,7}:{(4,1),(20,1),(87,1)}
        13:{1,5}:{(5,1),(21,1),(23,1)}
        14:{2,3,5}:{(5,1),(22,1),(24,1),(26,1),(49,1),(56,1),(84,1)}
        15:{1,4,6}:{(6,1),(7,1),(27,1),(28,1),(29,1)}
        16:{1,5,7}:{(6,1),(8,1),(29,1),(30,1),(40,1)}
        17:{4,5}:{(7,1),(32,1),(100,1)}
        18:{3,4,6}:{(7,1),(9,1),(10,1),(28,1),(32,1),(34,1),(35,1),(36,1),(60,1),(70,1),(72,1),(100,1),(131,1)}
        19:{4,7}:{(7,1),(8,1)}
        20:{3,6,7}:{(8,1),(12,1),(30,1),(37,1),(70,1)}
        21:{1,4}:{(9,1),(13,1),(31,1)}
        22:{2,4}:{(9,1),(14,1),(100,1)}
        23:{1,6}:{(10,1),(13,1),(40,1)}
        24:{2,3,6}:{(10,1),(14,1),(35,1),(39,1),(41,1),(72,1),(94,1)}
        25:{3,7}:{(10,1),(11,1),(40,1)}
        26:{1,2,5}:{(13,1),(14,1),(38,1),(39,1),(42,1),(99,1)}
        27:{1,4,5}:{(15,1),(17,1),(43,1),(48,1),(78,1)}
        28:{3,6}:{(15,1),(43,1),(45,1),(46,1)}
        29:{1,4,7}:{(15,1),(16,1),(19,1),(46,1)}
        30:{1,6,7}:{(16,1),(20,1),(86,1)}
        31:{1,3}:{(21,1),(47,1),(56,1)}
        32:{3,5}:{(17,1),(18,1),(48,1),(49,1),(142,1)}
        33:{4,5,7}:{(17,1),(19,1),(50,1),(51,1),(55,1),(116,1),(142,1)}
        34:{1,4,6}:{(18,1),(21,1),(23,1),(44,1),(48,1),(53,1),(78,1),(86,1)}
        35:{2,4,6}:{(18,1),(22,1),(24,1),(45,1),(49,1),(54,1),(79,1),(87,1)}
        36:{3,4,7}:{(18,1),(19,1),(25,1),(46,1),(50,1),(53,1),(54,1),(89,1),(116,1)}
        37:{4,6,7}:{(19,1),(20,1),(51,1),(55,1)}
        38:{1,2,4}:{(21,1),(22,1),(26,1),(47,1),(56,1),(59,1),(83,1)}
        39:{1,2,6}:{(23,1),(24,1),(26,1),(57,1),(58,1),(109,1),(114,1)}
        40:{1,7}:{(23,1),(25,1)}
        41:{2,3,7}:{(24,1),(25,1),(54,1),(58,1),(89,1)}
        42:{1,3,5}:{(26,1),(56,1),(57,1),(59,1),(84,1),(90,1),(91,1)}
        43:{3,5}:{(27,1),(28,1),(60,1),(62,1)}
        44:{1,3,6}:{(28,1),(31,1),(34,1),(61,1),(63,1),(64,1),(72,1)}
        45:{2,6}:{(28,1),(62,1),(65,1)}
        46:{3,7}:{(28,1),(29,1),(65,1)}
        47:{1,2}:{(31,1),(66,1)}
        48:{1,5}:{(32,1),(34,1)}
        49:{2,5}:{(32,1),(35,1)}
        50:{3,5,7}:{(32,1),(33,1),(36,1),(68,1),(69,1),(70,1)}
        51:{4,6}:{(33,1),(70,1),(71,1)}
        52:{1,2,4,6}:{(34,1),(35,1),(38,1),(39,1),(63,1),(67,1),(72,1),(73,1),(75,1),(95,1),(97,1),(100,1),(102,1),(131,1)}
        53:{1,4,7}:{(34,1),(36,1),(40,1),(64,1),(68,1)}
        54:{2,4,7}:{(35,1),(36,1),(41,1),(65,1),(69,1)}
        55:{5,7}:{(37,1),(71,1)}
        56:{3}:{(38,1)}
        57:{1,3,6}:{(39,1),(42,1),(72,1),(75,1),(76,1),(105,1),(123,1)}
        58:{1,2,7}:{(39,1),(40,1),(41,1),(76,1),(128,1)}
        59:{1,4}:{(42,1),(74,1),(100,1)}
        60:{3,4}:{(43,1),(78,1),(79,1),(110,1)}
        61:{1,3,5}:{(43,1),(44,1),(48,1),(78,1),(80,1),(84,1),(110,1)}
        62:{2,5}:{(43,1),(45,1),(79,1)}
        63:{1,2,6}:{(44,1),(45,1),(47,1),(80,1),(81,1),(82,1),(150,1)}
        64:{1,3,7}:{(44,1),(46,1),(53,1),(82,1),(89,1)}
        65:{2,7}:{(45,1),(46,1)}
        66:{2,3}:{(47,1),(56,1),(83,1)}
        67:{1,2,5}:{(48,1),(49,1),(52,1),(84,1),(91,1),(112,1),(142,1)}
        68:{1,5,7}:{(48,1),(50,1),(53,1),(86,1)}
        69:{2,5,7}:{(49,1),(50,1),(54,1),(87,1)}
        70:{3,6}:{(50,1),(51,1),(86,1),(87,1)}
        71:{5,6}:{(51,1),(55,1),(142,1)}
        72:{3,6}:{(52,1),(56,1),(84,1),(89,1),(110,1)}
        73:{1,2,4,7}:{(52,1),(53,1),(54,1),(58,1),(82,1),(85,1),(89,1),(92,1),(113,1),(116,1)}
        74:{3,4}:{(56,1),(59,1),(83,1),(90,1)}
        75:{1,4,6}:{(57,1),(59,1),(88,1),(91,1),(92,1),(122,1),(135,1),(150,1)}
        76:{1,3,7}:{(57,1),(58,1),(89,1),(92,1),(120,1)}
        77:{1,4,5}:{(59,1),(90,1),(91,1),(93,1),(115,1)}
        78:{1,4}:{(60,1),(61,1),(100,1)}
        79:{2,4}:{(60,1),(62,1),(94,1)}
        80:{1,2,5}:{(61,1),(62,1),(63,1),(95,1),(96,1),(144,1)}
        81:{2,3,6}:{(63,1),(66,1),(72,1),(96,1),(97,1),(98,1),(145,1)}
        82:{1,2,7}:{(63,1),(64,1),(65,1),(98,1),(153,1)}
        83:{2,4}:{(66,1),(74,1),(99,1)}
        84:{3,5}:{(67,1),(72,1),(100,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(73,1),(101,1),(102,1),(107,1),(127,1)}
        86:{1,6}:{(68,1),(70,1)}
        87:{2,6}:{(69,1),(70,1)}
        88:{3,4,6}:{(72,1),(74,1),(75,1),(97,1),(100,1),(103,1),(104,1),(105,1),(124,1),(129,1),(131,1),(133,1),(145,1)}
        89:{3,7}:{(72,1),(73,1)}
        90:{3,5}:{(74,1),(77,1),(99,1),(105,1)}
        91:{1,5}:{(75,1),(103,1)}
        92:{1,4,7}:{(75,1),(76,1),(104,1),(107,1),(153,1)}
        93:{1,4,6}:{(77,1),(105,1),(106,1),(108,1),(129,1)}
        94:{2,3}:{(79,1),(109,1),(110,1)}
        95:{1,2,4}:{(78,1),(79,1),(80,1),(109,1),(110,1),(111,1),(135,1)}
        96:{2,3,5}:{(80,1),(81,1),(84,1),(110,1),(111,1),(112,1),(136,1)}
        97:{2,4,6}:{(81,1),(83,1),(88,1),(111,1),(112,1),(113,1),(114,1),(139,1)}
        98:{2,3,7}:{(81,1),(82,1),(89,1),(113,1),(151,1)}
        99:{2,5}:{(83,1),(90,1),(114,1)}
       100:{4}:{(84,1)}
       101:{3,5,7}:{(84,1),(85,1),(89,1),(116,1),(117,1),(142,1)}
       102:{1,2,6}:{(85,1),(86,1),(87,1),(117,1),(122,1),(139,1)}
       103:{3,5}:{(88,1),(91,1),(112,1),(115,1),(142,1)}
       104:{3,4,7}:{(88,1),(89,1),(92,1),(113,1),(116,1),(119,1),(120,1),(140,1),(151,1)}
       105:{3,6}:{(90,1),(93,1),(114,1),(120,1)}
       106:{1,5,6}:{(91,1),(93,1),(118,1),(121,1),(122,1),(150,1)}
       107:{1,5,7}:{(91,1),(92,1),(119,1),(122,1)}
       108:{1,4,7}:{(93,1),(120,1),(121,1),(140,1)}
       109:{1,2}:{(94,1),(123,1)}
       110:{3}:{(95,1)}
       111:{2,4}:{(96,1),(100,1),(124,1)}
       112:{2,5}:{(97,1),(103,1)}
       113:{2,4,7}:{(97,1),(98,1),(104,1),(127,1),(128,1)}
       114:{2,6}:{(99,1),(105,1),(128,1)}
       115:{4,5}:{(100,1),(103,1),(129,1)}
       116:{4,7}:{(100,1),(101,1),(131,1)}
       117:{3,6}:{(101,1),(102,1),(131,1)}
       118:{3,5,6}:{(103,1),(105,1),(106,1),(126,1),(129,1),(132,1),(133,1),(145,1),(149,1)}
       119:{3,5,7}:{(103,1),(104,1),(107,1),(127,1),(130,1),(133,1)}
       120:{3,7}:{(105,1),(108,1),(128,1)}
       121:{1,5,7}:{(106,1),(108,1),(132,1),(134,1),(153,1)}
       122:{1,6}:{(107,1),(133,1)}
       123:{1,3}:{(109,1),(110,1),(135,1)}
       124:{3,4}:{(110,1),(111,1),(135,1),(136,1)}
       125:{2,4,5}:{(111,1),(112,1),(115,1),(136,1),(137,1)}
       126:{2,5,6}:{(112,1),(114,1),(118,1),(137,1),(138,1),(139,1)}
       127:{2,5,7}:{(112,1),(113,1),(119,1),(139,1)}
       128:{2,7}:{(114,1),(120,1)}
       129:{4,6}:{(115,1),(118,1),(140,1)}
       130:{4,5,7}:{(115,1),(116,1),(119,1),(140,1),(141,1),(142,1),(152,1)}
       131:{4,6}:{(116,1),(117,1),(142,1)}
       132:{3,5,7}:{(118,1),(120,1),(121,1),(138,1),(140,1),(143,1),(151,1),(152,1)}
       133:{3,6}:{(119,1),(122,1),(139,1),(141,1)}
       134:{1,6,7}:{(121,1),(122,1),(143,1)}
       135:{1,4}:{(123,1),(124,1),(144,1)}
       136:{3,5}:{(124,1),(125,1),(144,1),(145,1)}
       137:{2,4,6}:{(125,1),(126,1),(129,1),(145,1),(146,1)}
       138:{2,5,7}:{(126,1),(128,1),(132,1),(146,1),(147,1)}
       139:{2,6}:{(127,1),(133,1)}
       140:{4,7}:{(129,1),(132,1)}
       141:{4,6}:{(130,1),(133,1),(149,1)}
       142:{5}:{(131,1)}
       143:{3,6,7}:{(132,1),(133,1),(134,1),(147,1),(148,1)}
       144:{1,5}:{(135,1),(136,1),(150,1)}
       145:{3,6}:{(136,1),(137,1),(150,1),(151,1)}
       146:{2,4,7}:{(137,1),(138,1),(140,1),(151,1)}
       147:{2,6,7}:{(138,1),(139,1),(143,1)}
       148:{4,6,7}:{(140,1),(141,1),(143,1),(152,1)}
       149:{5,6}:{(141,1),(142,1),(152,1)}
       150:{1,6}:{(144,1),(145,1),(153,1)}
       151:{3,7}:{(145,1),(146,1),(153,1)}
       152:{5,7}:{(148,1),(149,1)}
       153:{1,7}:{(150,1),(151,1)}

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

 224 :  0:{3,4,5}:{(1,1),(2,1),(3,1),(18,1),(70,1)}
        1:{1,4,5}:{(0,1),(5,1),(8,1)}
        2:{2,4,5}:{(0,1),(6,1),(9,1)}
        3:{3,4,6}:{(0,1),(8,1),(9,1),(10,1),(11,1),(35,1),(62,1)}
        4:{1,3,4}:{(5,1),(12,1),(34,1)}
        5:{1,3,5}:{(1,1),(4,1),(14,1),(15,1),(18,1)}
        6:{2,3,5}:{(2,1),(13,1),(16,1),(17,1),(18,1)}
        7:{1,2,4,5}:{(1,1),(2,1),(14,1),(16,1),(18,1),(19,1),(43,1),(46,1),(66,1),(68,1),(70,1)}
        8:{1,4,6}:{(1,1),(3,1),(15,1),(20,1),(21,1)}
        9:{2,4,6}:{(2,1),(3,1),(17,1),(22,1),(23,1)}
       10:{3,5,6}:{(3,1),(20,1),(22,1),(24,1),(25,1)}
       11:{3,4,7}:{(3,1),(21,1),(23,1),(25,1),(51,1),(72,1)}
       12:{1,2,4}:{(4,1),(14,1),(26,1),(43,1)}
       13:{2,3,4}:{(6,1),(27,1),(34,1)}
       14:{1,2,5}:{(5,1),(12,1),(28,1),(29,1)}
       15:{1,3,6}:{(5,1),(8,1),(29,1),(30,1),(35,1)}
       16:{1,2,5}:{(6,1),(27,1),(31,1),(32,1)}
       17:{2,3,6}:{(6,1),(9,1),(32,1),(33,1),(35,1)}
       18:{3,5}:{(7,1),(34,1),(35,1)}
       19:{1,2,4,6}:{(7,1),(8,1),(9,1),(29,1),(32,1),(35,1),(36,1),(37,1),(56,1),(58,1),(62,1)}
       20:{1,5,6}:{(8,1),(10,1),(38,1)}
       21:{1,4,7}:{(8,1),(11,1),(30,1),(38,1)}
       22:{2,5,6}:{(9,1),(10,1),(39,1)}
       23:{2,4,7}:{(9,1),(11,1),(33,1),(39,1)}
       24:{4,5,6}:{(10,1),(40,1),(62,1),(83,1)}
       25:{3,5,7}:{(10,1),(11,1),(38,1),(39,1),(40,1),(41,1)}
       26:{2,3}:{(12,1)}
       27:{1,2,4}:{(13,1),(16,1),(42,1),(46,1)}
       28:{2,3,5}:{(14,1),(18,1),(26,1),(43,1),(44,1),(66,1)}
       29:{1,2,6}:{(14,1),(15,1),(44,1),(45,1)}
       30:{1,3,7}:{(15,1),(21,1),(45,1),(51,1)}
       31:{1,3,5}:{(16,1),(18,1),(42,1),(46,1),(47,1),(68,1)}
       32:{1,2,6}:{(16,1),(17,1),(47,1),(48,1)}
       33:{2,3,7}:{(17,1),(23,1),(48,1),(51,1)}
       34:{3,4}:{(18,1),(43,1),(46,1)}
       35:{3,6}:{(18,1),(19,1),(51,1)}
       36:{1,2,5,6}:{(19,1),(20,1),(22,1),(50,1),(52,1),(66,1),(68,1),(79,1),(80,1)}
       37:{1,2,4,7}:{(19,1),(21,1),(23,1),(45,1),(48,1),(51,1),(52,1),(67,1),(69,1),(72,1)}
       38:{1,5,7}:{(20,1),(21,1),(25,1),(53,1)}
       39:{2,5,7}:{(22,1),(23,1),(25,1),(54,1)}
       40:{4,5,7}:{(24,1),(25,1),(55,1),(72,1),(82,1)}
       41:{3,6,7}:{(25,1),(53,1),(54,1),(55,1)}
       42:{1,3}:{(27,1)}
       43:{2,4}:{(28,1),(34,1)}
       44:{2,3,6}:{(28,1),(29,1),(35,1),(56,1),(57,1)}
       45:{1,2,7}:{(29,1),(30,1),(57,1)}
       46:{1,4}:{(31,1),(34,1)}
       47:{1,3,6}:{(31,1),(32,1),(35,1),(58,1),(59,1)}
       48:{1,2,7}:{(32,1),(33,1),(59,1)}
       49:{3,4,6}:{(34,1),(35,1),(56,1),(58,1),(60,1),(61,1),(62,1),(77,1)}
       50:{3,5,6}:{(35,1),(36,1),(60,1),(62,1),(63,1),(77,1),(83,1)}
       51:{3,7}:{(35,1),(37,1)}
       52:{1,2,5,7}:{(36,1),(37,1),(38,1),(39,1),(63,1),(64,1),(74,1),(75,1)}
       53:{1,6,7}:{(38,1),(41,1)}
       54:{2,6,7}:{(39,1),(41,1)}
       55:{4,6,7}:{(40,1),(41,1),(65,1)}
       56:{2,4,6}:{(43,1),(44,1),(49,1),(66,1),(67,1),(79,1)}
       57:{2,3,7}:{(44,1),(45,1),(51,1),(67,1)}
       58:{1,4,6}:{(46,1),(47,1),(49,1),(68,1),(69,1),(80,1)}
       59:{1,3,7}:{(47,1),(48,1),(51,1),(69,1)}
       60:{3,5}:{(49,1),(66,1),(68,1),(70,1)}
       61:{3,4,7}:{(49,1),(51,1),(67,1),(69,1),(71,1),(72,1)}
       62:{4,6}:{(50,1),(70,1),(72,1)}
       63:{3,5,7}:{(50,1),(51,1),(52,1),(72,1),(73,1),(82,1)}
       64:{1,2,6,7}:{(52,1),(53,1),(54,1),(73,1),(79,1),(80,1)}
       65:{5,6,7}:{(55,1),(82,1)}
       66:{2,5}:{(56,1),(60,1)}
       67:{2,4,7}:{(56,1),(57,1),(61,1),(74,1)}
       68:{1,5}:{(58,1),(60,1)}
       69:{1,4,7}:{(58,1),(59,1),(61,1),(75,1)}
       70:{4,5}:{(60,1),(62,1)}
       71:{3,5,7}:{(60,1),(61,1),(74,1),(75,1),(76,1),(77,1)}
       72:{4,7}:{(62,1),(63,1)}
       73:{3,6,7}:{(63,1),(64,1),(77,1),(78,1)}
       74:{2,5,7}:{(66,1),(67,1),(71,1),(79,1)}
       75:{1,5,7}:{(68,1),(69,1),(71,1),(80,1)}
       76:{4,5,7}:{(70,1),(71,1),(72,1),(81,1),(82,1)}
       77:{3,6}:{(71,1),(79,1),(80,1),(81,1)}
       78:{4,6,7}:{(72,1),(73,1),(81,1),(82,1)}
       79:{2,6}:{(74,1),(77,1)}
       80:{1,6}:{(75,1),(77,1)}
       81:{4,6}:{(76,1),(77,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

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

 226 :  0:{6,7}:{(5,1),(53,1)}
        1:{5,6}:{(5,1),(6,1),(46,1),(53,1)}
        2:{4,5}:{(6,1),(7,1),(35,1),(46,1)}
        3:{3,4}:{(7,1),(8,1),(9,1),(23,1),(35,1)}
        4:{1,3}:{(8,1),(10,1),(23,1)}
        5:{5,7}:{(0,1),(1,1),(12,1)}
        6:{4,6}:{(1,1),(2,1),(12,1),(13,1)}
        7:{3,5}:{(2,1),(3,1),(13,1),(14,1),(15,1)}
        8:{1,4}:{(3,1),(4,1),(14,1)}
        9:{2,4}:{(3,1),(11,1),(15,1)}
       10:{1,2}:{(4,1),(17,1)}
       11:{2,3}:{(9,1),(18,1),(23,1)}
       12:{4,7}:{(5,1),(6,1),(19,1)}
       13:{3,6}:{(6,1),(7,1),(19,1),(20,1),(21,1)}
       14:{1,5}:{(7,1),(8,1),(20,1)}
       15:{2,5}:{(7,1),(9,1),(21,1)}
       16:{1,2,4}:{(8,1),(9,1),(10,1),(18,1),(22,1),(23,1),(24,1),(32,1),(35,1)}
       17:{2,3}:{(10,1),(23,1),(24,1)}
       18:{1,2}:{(11,1),(25,1)}
       19:{3,7}:{(12,1),(13,1),(26,1),(27,1)}
       20:{1,6}:{(13,1),(14,1),(26,1)}
       21:{2,6}:{(13,1),(15,1),(27,1)}
       22:{1,2,5}:{(14,1),(15,1),(16,1),(28,1),(29,1),(31,1),(38,1)}
       23:{3}:{(16,1)}
       24:{2,4}:{(17,1),(30,1),(31,1)}
       25:{1,3}:{(18,1),(23,1),(32,1)}
       26:{1,7}:{(19,1),(20,1)}
       27:{2,7}:{(19,1),(21,1)}
       28:{1,2,6}:{(20,1),(21,1),(22,1),(33,1),(34,1),(37,1),(44,1)}
       29:{3,5}:{(22,1),(23,1),(34,1),(35,1),(46,1)}
       30:{3,4}:{(23,1),(24,1),(32,1),(35,1),(36,1)}
       31:{2,5}:{(24,1),(36,1),(37,1)}
       32:{1,4}:{(25,1),(30,1),(38,1)}
       33:{1,2,7}:{(26,1),(27,1),(28,1),(39,1),(43,1),(49,1)}
       34:{3,6}:{(28,1),(29,1),(39,1),(40,1)}
       35:{4}:{(29,1)}
       36:{3,5}:{(30,1),(31,1),(38,1),(41,1),(42,1)}
       37:{2,6}:{(31,1),(42,1),(43,1)}
       38:{1,5}:{(32,1),(36,1),(44,1)}
       39:{3,7}:{(33,1),(34,1),(45,1)}
       40:{4,6}:{(34,1),(35,1),(45,1),(46,1),(53,1)}
       41:{4,5}:{(35,1),(36,1),(46,1),(47,1)}
       42:{3,6}:{(36,1),(37,1),(44,1),(47,1),(48,1)}
       43:{2,7}:{(37,1),(48,1)}
       44:{1,6}:{(38,1),(42,1),(49,1)}
       45:{4,7}:{(39,1),(40,1),(50,1)}
       46:{5}:{(40,1)}
       47:{4,6}:{(41,1),(42,1),(51,1),(52,1)}
       48:{3,7}:{(42,1),(43,1),(49,1),(52,1)}
       49:{1,7}:{(44,1),(48,1)}
       50:{5,7}:{(45,1),(46,1),(53,1)}
       51:{5,6}:{(46,1),(47,1),(53,1),(54,1)}
       52:{4,7}:{(47,1),(48,1),(54,1)}
       53:{6}:{(50,1)}
       54:{5,7}:{(51,1),(52,1),(55,1)}
       55:{6,7}:{(53,1),(54,1)}

 227 :   0:{4,5,7}:{(3,1),(4,1),(26,1),(35,1),(67,1),(68,1),(112,1)}
         1:{3,4,7}:{(3,1),(5,1),(6,1),(7,1),(31,1),(67,1),(68,1),(109,1),(110,1)}
         2:{1,3,7}:{(5,1),(8,1),(9,1),(31,1),(109,1)}
         3:{3,5,7}:{(0,1),(1,1),(12,1),(13,1),(14,1),(19,1)}
         4:{4,6}:{(0,1),(14,1),(15,1)}
         5:{1,4,7}:{(1,1),(2,1),(12,1),(17,1),(130,1)}
         6:{2,4,7}:{(1,1),(10,1),(13,1),(18,1),(129,1)}
         7:{3,4,6}:{(1,1),(14,1),(17,1),(18,1),(19,1),(50,1),(52,1),(60,1),(86,1),(90,1),(91,1),(92,1),(95,1)}
         8:{1,2,7}:{(2,1),(20,1),(21,1),(129,1),(150,1)}
         9:{1,3,6}:{(2,1),(17,1),(21,1),(22,1),(52,1),(91,1),(127,1)}
        10:{2,3,7}:{(6,1),(23,1),(24,1),(31,1),(110,1)}
        11:{4,6,7}:{(4,1),(25,1),(26,1),(67,1)}
        12:{1,5,7}:{(3,1),(5,1),(28,1),(33,1)}
        13:{2,5,7}:{(3,1),(6,1),(29,1),(34,1)}
        14:{3,6}:{(3,1),(4,1),(28,1),(29,1)}
        15:{5,6}:{(4,1),(26,1),(112,1)}
        16:{1,2,4,7}:{(5,1),(6,1),(8,1),(23,1),(27,1),(31,1),(32,1),(36,1),(61,1),(68,1)}
        17:{1,4,6}:{(5,1),(7,1),(9,1),(28,1),(33,1),(39,1),(108,1),(114,1)}
        18:{2,4,6}:{(6,1),(7,1),(24,1),(29,1),(34,1),(64,1),(81,1),(113,1)}
        19:{3,5}:{(7,1),(33,1),(34,1),(35,1),(112,1)}
        20:{2,3,7}:{(8,1),(31,1),(36,1),(37,1),(145,1)}
        21:{1,2,6}:{(8,1),(9,1),(37,1),(38,1),(113,1),(142,1),(146,1)}
        22:{1,3,5}:{(9,1),(33,1),(38,1),(39,1),(74,1),(75,1),(80,1)}
        23:{1,2,7}:{(10,1),(40,1),(41,1),(130,1),(153,1)}
        24:{2,3,6}:{(10,1),(18,1),(41,1),(42,1),(52,1),(92,1),(103,1)}
        25:{3,6,7}:{(11,1),(14,1),(43,1),(44,1),(45,1)}
        26:{5,7}:{(11,1),(15,1)}
        27:{1,2,5,7}:{(12,1),(13,1),(16,1),(46,1),(47,1),(53,1),(56,1),(82,1)}
        28:{1,6}:{(12,1),(14,1)}
        29:{2,6}:{(13,1),(14,1)}
        30:{3,5,6}:{(14,1),(15,1),(19,1),(45,1),(48,1),(49,1),(50,1),(91,1),(92,1)}
        31:{3,7}:{(16,1),(52,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(18,1),(21,1),(41,1),(47,1),(52,1),(53,1),(57,1),(59,1),(83,1),(85,1),(90,1),(95,1)}
        33:{1,5}:{(17,1),(19,1)}
        34:{2,5}:{(18,1),(19,1)}
        35:{4,5}:{(19,1),(50,1),(95,1)}
        36:{2,4,7}:{(20,1),(51,1),(56,1),(57,1),(153,1)}
        37:{2,3,6}:{(20,1),(21,1),(52,1),(57,1),(58,1),(128,1),(136,1)}
        38:{1,2,5}:{(21,1),(22,1),(58,1),(59,1),(96,1),(137,1)}
        39:{1,4}:{(22,1),(60,1),(95,1)}
        40:{1,3,7}:{(23,1),(31,1),(61,1),(62,1),(151,1)}
        41:{1,2,6}:{(23,1),(24,1),(62,1),(63,1),(114,1),(122,1),(152,1)}
        42:{2,3,5}:{(24,1),(34,1),(63,1),(64,1),(74,1),(76,1),(107,1)}
        43:{1,6,7}:{(25,1),(28,1),(65,1)}
        44:{2,6,7}:{(25,1),(29,1),(66,1)}
        45:{3,5,7}:{(25,1),(26,1),(30,1),(65,1),(66,1),(67,1),(109,1),(110,1)}
        46:{3,5,7}:{(27,1),(31,1),(68,1),(69,1),(74,1),(112,1)}
        47:{1,2,6}:{(27,1),(28,1),(29,1),(69,1),(77,1),(104,1)}
        48:{1,5,6}:{(28,1),(30,1),(33,1),(65,1),(70,1),(114,1)}
        49:{2,5,6}:{(29,1),(30,1),(34,1),(66,1),(71,1),(113,1)}
        50:{4,6}:{(30,1),(35,1),(67,1)}
        51:{3,4,7}:{(31,1),(36,1),(61,1),(68,1),(72,1),(73,1),(144,1),(145,1),(151,1)}
        52:{3,6}:{(31,1),(32,1),(74,1),(80,1),(107,1)}
        53:{1,2,5}:{(32,1),(33,1),(34,1),(74,1),(78,1),(105,1),(112,1)}
        54:{1,4,5}:{(33,1),(35,1),(39,1),(70,1),(75,1)}
        55:{2,4,5}:{(34,1),(35,1),(64,1),(71,1),(76,1)}
        56:{2,5,7}:{(36,1),(72,1),(77,1),(78,1)}
        57:{2,4,6}:{(36,1),(37,1),(73,1),(77,1),(78,1),(79,1),(141,1),(152,1)}
        58:{2,3,5}:{(37,1),(38,1),(74,1),(78,1),(79,1),(80,1),(120,1)}
        59:{1,2,4}:{(38,1),(39,1),(79,1),(80,1),(81,1),(121,1),(122,1)}
        60:{3,4}:{(39,1),(75,1),(80,1),(81,1)}
        61:{1,4,7}:{(40,1),(51,1),(82,1),(83,1),(150,1)}
        62:{1,3,6}:{(40,1),(41,1),(52,1),(83,1),(84,1),(102,1),(148,1)}
        63:{1,2,5}:{(41,1),(42,1),(84,1),(85,1),(97,1),(149,1)}
        64:{2,4}:{(42,1),(86,1),(95,1)}
        65:{1,5,7}:{(43,1),(45,1),(48,1),(87,1),(130,1)}
        66:{2,5,7}:{(44,1),(45,1),(49,1),(88,1),(129,1)}
        67:{4,7}:{(45,1),(50,1)}
        68:{4,7}:{(46,1),(90,1),(95,1)}
        69:{3,6}:{(46,1),(47,1),(90,1)}
        70:{1,4,6}:{(48,1),(50,1),(54,1),(87,1),(91,1)}
        71:{2,4,6}:{(49,1),(50,1),(55,1),(88,1),(92,1)}
        72:{3,5,7}:{(51,1),(56,1),(82,1),(89,1),(93,1),(94,1)}
        73:{3,4,6}:{(51,1),(52,1),(57,1),(83,1),(90,1),(93,1),(94,1),(95,1),(101,1),(126,1),(134,1),(136,1),(148,1)}
        74:{3,5}:{(52,1),(53,1),(95,1)}
        75:{3,5}:{(54,1),(60,1),(91,1),(96,1)}
        76:{3,5}:{(55,1),(86,1),(92,1),(97,1)}
        77:{2,6}:{(56,1),(93,1)}
        78:{2,5}:{(57,1),(94,1)}
        79:{2,4}:{(58,1),(95,1),(101,1)}
        80:{3}:{(59,1)}
        81:{2,4}:{(60,1),(96,1),(103,1)}
        82:{1,5,7}:{(61,1),(72,1),(104,1),(105,1)}
        83:{1,4,6}:{(61,1),(62,1),(73,1),(104,1),(105,1),(106,1),(121,1),(146,1)}
        84:{1,3,5}:{(62,1),(63,1),(74,1),(105,1),(106,1),(107,1),(140,1)}
        85:{1,2,4}:{(63,1),(64,1),(106,1),(107,1),(108,1),(141,1),(142,1)}
        86:{3,4}:{(64,1),(76,1),(107,1),(108,1)}
        87:{1,4,7}:{(65,1),(67,1),(70,1),(109,1)}
        88:{2,4,7}:{(66,1),(67,1),(71,1),(110,1)}
        89:{4,5,7}:{(68,1),(72,1),(111,1),(112,1),(117,1),(143,1),(144,1)}
        90:{4,6}:{(68,1),(69,1),(112,1)}
        91:{3,6}:{(70,1),(75,1),(109,1),(113,1)}
        92:{3,6}:{(71,1),(76,1),(110,1),(114,1)}
        93:{3,6}:{(72,1),(77,1),(104,1),(111,1)}
        94:{3,5}:{(73,1),(78,1),(105,1),(112,1),(117,1)}
        95:{4}:{(74,1)}
        96:{2,5}:{(75,1),(81,1),(113,1)}
        97:{1,5}:{(76,1),(108,1),(114,1)}
        98:{2,6,7}:{(77,1),(115,1),(118,1)}
        99:{2,5,6}:{(77,1),(78,1),(116,1),(118,1),(119,1),(152,1)}
       100:{2,4,5}:{(78,1),(79,1),(117,1),(119,1),(120,1)}
       101:{3,4}:{(79,1),(80,1),(120,1),(121,1)}
       102:{1,3}:{(80,1),(121,1),(122,1)}
       103:{2,3}:{(80,1),(81,1),(122,1)}
       104:{1,6}:{(82,1),(93,1)}
       105:{1,5}:{(83,1),(94,1)}
       106:{1,4}:{(84,1),(95,1),(126,1)}
       107:{3}:{(85,1)}
       108:{1,4}:{(86,1),(97,1),(127,1)}
       109:{3,7}:{(87,1),(91,1),(129,1)}
       110:{3,7}:{(88,1),(92,1),(130,1)}
       111:{4,6}:{(89,1),(93,1),(132,1)}
       112:{5}:{(90,1)}
       113:{2,6}:{(91,1),(96,1),(129,1)}
       114:{1,6}:{(92,1),(97,1),(130,1)}
       115:{3,6,7}:{(93,1),(98,1),(123,1),(131,1),(133,1)}
       116:{3,5,6}:{(93,1),(94,1),(99,1),(124,1),(132,1),(133,1),(134,1),(136,1),(148,1)}
       117:{4,5}:{(94,1),(95,1),(134,1)}
       118:{2,5,7}:{(98,1),(99,1),(133,1),(135,1),(153,1)}
       119:{2,4,6}:{(99,1),(100,1),(134,1),(135,1),(136,1)}
       120:{3,5}:{(100,1),(101,1),(136,1),(137,1)}
       121:{1,4}:{(101,1),(102,1),(137,1)}
       122:{1,2}:{(102,1),(103,1)}
       123:{1,6,7}:{(104,1),(115,1),(138,1)}
       124:{1,5,6}:{(104,1),(105,1),(116,1),(138,1),(139,1),(146,1)}
       125:{1,4,5}:{(105,1),(106,1),(117,1),(139,1),(140,1)}
       126:{3,4}:{(106,1),(107,1),(140,1),(141,1)}
       127:{1,3}:{(107,1),(108,1),(142,1)}
       128:{2,3}:{(107,1),(141,1),(142,1)}
       129:{2,7}:{(109,1),(113,1)}
       130:{1,7}:{(110,1),(114,1)}
       131:{4,6,7}:{(111,1),(115,1),(143,1),(144,1)}
       132:{5,6}:{(111,1),(112,1),(143,1)}
       133:{3,5,7}:{(115,1),(116,1),(118,1),(138,1),(143,1),(144,1),(145,1),(151,1)}
       134:{4,6}:{(116,1),(117,1),(144,1)}
       135:{2,4,7}:{(118,1),(119,1),(144,1),(145,1)}
       136:{3,6}:{(119,1),(120,1),(145,1),(146,1)}
       137:{1,5}:{(120,1),(121,1),(146,1)}
       138:{1,5,7}:{(123,1),(124,1),(133,1),(147,1),(150,1)}
       139:{1,4,6}:{(124,1),(125,1),(134,1),(147,1),(148,1)}
       140:{3,5}:{(125,1),(126,1),(148,1),(149,1)}
       141:{2,4}:{(126,1),(128,1),(149,1)}
       142:{1,2}:{(127,1),(128,1)}
       143:{5,7}:{(131,1),(132,1)}
       144:{4,7}:{(133,1),(134,1)}
       145:{3,7}:{(135,1),(136,1),(150,1)}
       146:{1,6}:{(136,1),(137,1),(150,1)}
       147:{1,4,7}:{(138,1),(139,1),(144,1),(151,1)}
       148:{3,6}:{(139,1),(140,1),(151,1),(152,1)}
       149:{2,5}:{(140,1),(141,1),(152,1)}
       150:{1,7}:{(145,1),(146,1)}
       151:{3,7}:{(147,1),(148,1),(153,1)}
       152:{2,6}:{(148,1),(149,1),(153,1)}
       153:{2,7}:{(151,1),(152,1)}

 228 :   0:{1,3,5,6}:{(1,1),(2,1),(3,1),(14,1),(17,1),(44,1),(54,1),(55,1),(90,1),(92,1),(123,1),(149,1)}
         1:{1,2,5,6}:{(0,1),(4,1),(5,1),(6,1),(32,1),(58,1),(67,1),(76,1),(100,1),(109,1),(137,1)}
         2:{1,4,6}:{(0,1),(7,1),(8,1),(9,1),(64,1),(112,1),(159,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(30,1),(33,1),(37,1),(75,1)}
         4:{2,3,5,6}:{(1,1),(11,1),(12,1),(14,1),(38,1),(45,1),(81,1),(82,1),(91,1),(92,1),(124,1),(149,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(19,1),(40,1),(48,1),(85,1)}
         6:{1,2,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(53,1),(80,1)}
         7:{1,4,5}:{(2,1),(17,1),(123,1),(125,1)}
         8:{3,4,6}:{(2,1),(14,1),(17,1),(19,1),(20,1),(43,1),(54,1)}
         9:{1,4,7}:{(2,1),(3,1),(20,1),(96,1)}
        10:{1,3,6,7}:{(3,1),(16,1),(21,1),(51,1),(54,1),(90,1),(156,1)}
        11:{2,4,6}:{(4,1),(22,1),(23,1),(24,1),(65,1),(112,1),(159,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(24,1),(25,1),(30,1),(59,1),(63,1),(75,1)}
        13:{1,2,4,5}:{(5,1),(7,1),(22,1),(26,1),(32,1),(58,1),(64,1),(65,1),(67,1),(137,1),(159,1)}
        14:{3,6}:{(5,1),(26,1),(30,1),(104,1)}
        15:{1,2,4,7}:{(5,1),(6,1),(9,1),(24,1),(30,1),(35,1),(61,1),(72,1)}
        16:{1,2,6,7}:{(6,1),(10,1),(25,1),(76,1),(100,1),(109,1),(165,1)}
        17:{3,5}:{(7,1),(8,1),(32,1)}
        18:{1,4,5,7}:{(7,1),(9,1),(33,1),(34,1),(37,1),(79,1)}
        19:{2,4,6}:{(8,1),(29,1),(32,1),(35,1),(65,1),(76,1)}
        20:{3,4,7}:{(8,1),(9,1),(30,1),(33,1),(35,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(34,1),(36,1),(37,1),(106,1),(145,1),(146,1)}
        22:{2,4,5}:{(11,1),(38,1),(124,1),(125,1)}
        23:{3,4,6}:{(11,1),(14,1),(38,1),(40,1),(41,1),(43,1),(81,1)}
        24:{2,4,7}:{(11,1),(12,1),(41,1),(96,1)}
        25:{2,3,6,7}:{(12,1),(16,1),(42,1),(51,1),(81,1),(91,1),(157,1)}
        26:{3,5}:{(13,1),(14,1),(43,1)}
        27:{1,2,4,5,7}:{(13,1),(15,1),(18,1),(39,1),(46,1),(47,1),(52,1),(53,1),(80,1),(86,1),(87,1),(89,1),(96,1),(99,1),(120,1),(123,1),(124,1),(125,1),(129,1),(133,1),(148,1),(150,1)}
        28:{1,3,6}:{(14,1),(40,1),(44,1),(48,1),(49,1)}
        29:{2,3,6}:{(14,1),(19,1),(45,1),(48,1),(50,1)}
        30:{3,7}:{(14,1),(15,1)}
        31:{1,2,4,6,7}:{(15,1),(16,1),(21,1),(42,1),(47,1),(51,1),(52,1),(56,1),(83,1),(93,1),(96,1),(122,1),(129,1)}
        32:{2,5}:{(17,1),(19,1)}
        33:{3,5,7}:{(17,1),(18,1),(20,1),(53,1),(54,1)}
        34:{1,4,6}:{(18,1),(54,1),(55,1),(98,1)}
        35:{2,4,7}:{(19,1),(20,1),(50,1),(53,1)}
        36:{3,4,6,7}:{(20,1),(21,1),(51,1),(54,1),(56,1),(57,1),(88,1),(96,1),(98,1),(131,1),(132,1)}
        37:{1,5,7}:{(21,1),(55,1),(57,1),(123,1)}
        38:{3,5}:{(22,1),(23,1),(58,1)}
        39:{2,4,5,7}:{(22,1),(24,1),(59,1),(60,1),(63,1),(103,1)}
        40:{1,4,6}:{(23,1),(28,1),(58,1),(61,1),(64,1),(100,1)}
        41:{3,4,7}:{(23,1),(24,1),(30,1),(59,1),(61,1)}
        42:{2,4,6,7}:{(24,1),(25,1),(60,1),(62,1),(63,1),(107,1),(144,1),(158,1)}
        43:{3,4}:{(26,1),(64,1),(65,1),(104,1),(159,1)}
        44:{1,3,5}:{(26,1),(28,1),(58,1),(64,1),(67,1),(104,1)}
        45:{2,3,5}:{(26,1),(29,1),(32,1),(65,1),(67,1),(104,1)}
        46:{3,5,7}:{(26,1),(27,1),(30,1),(66,1),(70,1),(108,1),(143,1),(160,1)}
        47:{1,2,4,6}:{(27,1),(34,1),(60,1),(70,1),(71,1),(76,1),(100,1),(106,1),(107,1),(109,1),(112,1),(116,1),(134,1),(146,1),(158,1)}
        48:{1,2,6}:{(28,1),(29,1),(67,1),(72,1)}
        49:{1,3,7}:{(28,1),(30,1),(61,1),(72,1)}
        50:{2,3,7}:{(29,1),(30,1),(35,1),(72,1)}
        51:{3,6,7}:{(30,1),(31,1),(70,1),(75,1),(136,1),(143,1)}
        52:{1,2,5,7}:{(31,1),(37,1),(63,1),(71,1),(75,1),(78,1),(102,1),(137,1)}
        53:{2,5,7}:{(32,1),(33,1),(35,1),(76,1)}
        54:{3,6}:{(33,1),(34,1),(76,1)}
        55:{1,5,6}:{(34,1),(37,1),(77,1),(146,1)}
        56:{2,4,6,7}:{(35,1),(36,1),(74,1),(76,1),(78,1),(107,1),(115,1),(116,1)}
        57:{3,5,7}:{(36,1),(37,1),(77,1),(78,1),(79,1),(108,1)}
        58:{1,5}:{(38,1),(40,1)}
        59:{3,5,7}:{(38,1),(39,1),(41,1),(80,1),(81,1)}
        60:{2,4,6}:{(39,1),(81,1),(82,1),(119,1)}
        61:{1,4,7}:{(40,1),(41,1),(49,1),(80,1)}
        62:{3,4,6,7}:{(41,1),(42,1),(51,1),(81,1),(83,1),(84,1),(88,1),(96,1),(119,1),(130,1),(147,1)}
        63:{2,5,7}:{(42,1),(82,1),(84,1),(124,1)}
        64:{1,4}:{(43,1),(44,1)}
        65:{2,4}:{(43,1),(45,1)}
        66:{3,4,7}:{(43,1),(46,1),(86,1),(87,1),(88,1),(96,1),(121,1),(166,1)}
        67:{1,2,5}:{(44,1),(45,1),(48,1),(85,1)}
        68:{1,3,5,7}:{(44,1),(46,1),(49,1),(80,1),(86,1),(89,1),(90,1),(121,1),(123,1),(133,1),(149,1),(156,1),(167,1)}
        69:{2,3,5,7}:{(45,1),(46,1),(50,1),(53,1),(87,1),(89,1),(91,1),(121,1),(124,1),(148,1),(149,1),(157,1),(168,1)}
        70:{3,6}:{(46,1),(47,1)}
        71:{1,2,5,6}:{(47,1),(52,1),(55,1),(82,1),(92,1),(97,1),(118,1),(123,1),(124,1)}
        72:{1,2,7}:{(48,1),(49,1),(50,1)}
        73:{1,3,6,7}:{(49,1),(51,1),(83,1),(90,1),(93,1),(94,1),(147,1)}
        74:{2,3,6,7}:{(50,1),(51,1),(56,1),(91,1),(93,1),(95,1),(132,1)}
        75:{3,5,7}:{(51,1),(52,1),(92,1),(96,1),(149,1)}
        76:{2,6}:{(53,1),(54,1)}
        77:{3,5,6}:{(54,1),(55,1),(57,1),(97,1),(98,1),(132,1)}
        78:{2,5,7}:{(56,1),(57,1),(97,1),(124,1)}
        79:{4,5,7}:{(57,1),(96,1),(98,1),(125,1)}
        80:{1,5,7}:{(58,1),(59,1),(61,1),(100,1)}
        81:{3,6}:{(59,1),(60,1),(100,1)}
        82:{2,5,6}:{(60,1),(63,1),(101,1),(158,1)}
        83:{1,4,6,7}:{(61,1),(62,1),(73,1),(100,1),(102,1),(106,1),(114,1),(134,1)}
        84:{3,5,7}:{(62,1),(63,1),(101,1),(102,1),(103,1),(108,1)}
        85:{1,2,4}:{(64,1),(65,1),(67,1),(104,1)}
        86:{1,4,7}:{(64,1),(66,1),(68,1),(106,1),(159,1),(170,1)}
        87:{2,4,7}:{(65,1),(66,1),(69,1),(107,1),(159,1),(171,1)}
        88:{3,4,6}:{(66,1),(70,1),(106,1),(107,1),(108,1),(112,1),(136,1),(159,1)}
        89:{1,2,5,7}:{(67,1),(68,1),(69,1),(72,1),(105,1),(109,1),(137,1),(165,1),(172,1)}
        90:{1,3,6}:{(68,1),(70,1),(100,1),(106,1),(109,1),(136,1),(146,1)}
        91:{2,3,6}:{(69,1),(70,1),(76,1),(107,1),(109,1),(136,1),(158,1)}
        92:{3,5,6}:{(70,1),(71,1),(75,1),(108,1),(112,1)}
        93:{1,2,6,7}:{(72,1),(73,1),(74,1),(109,1),(113,1),(146,1),(158,1)}
        94:{1,3,5,7}:{(73,1),(75,1),(102,1),(110,1),(113,1),(114,1),(135,1),(143,1)}
        95:{2,3,5,7}:{(74,1),(75,1),(78,1),(111,1),(113,1),(115,1),(117,1),(143,1)}
        96:{4,7}:{(75,1),(112,1),(159,1)}
        97:{2,5,6}:{(76,1),(77,1),(78,1),(116,1)}
        98:{4,6}:{(77,1),(79,1)}
        99:{2,4,5,7}:{(78,1),(79,1),(115,1),(116,1),(117,1),(139,1)}
       100:{1,6}:{(80,1),(81,1)}
       101:{3,5,6}:{(81,1),(82,1),(84,1),(118,1),(119,1),(147,1)}
       102:{1,5,7}:{(83,1),(84,1),(118,1),(123,1)}
       103:{4,5,7}:{(84,1),(96,1),(119,1),(125,1)}
       104:{3}:{(85,1)}
       105:{1,2,4,7}:{(85,1),(86,1),(87,1),(89,1),(121,1),(122,1),(173,1)}
       106:{1,4,6}:{(86,1),(88,1),(90,1),(123,1)}
       107:{2,4,6}:{(87,1),(88,1),(91,1),(124,1)}
       108:{3,5}:{(88,1),(123,1),(124,1),(125,1)}
       109:{1,2,6}:{(89,1),(90,1),(91,1)}
       110:{1,3,5,6}:{(90,1),(92,1),(94,1),(118,1),(123,1),(126,1),(127,1),(147,1),(149,1),(151,1),(153,1),(167,1)}
       111:{2,3,5,6}:{(91,1),(92,1),(95,1),(97,1),(124,1),(126,1),(128,1),(132,1),(149,1),(152,1),(153,1),(168,1)}
       112:{4,6}:{(92,1),(96,1),(125,1)}
       113:{1,2,5,7}:{(93,1),(94,1),(95,1),(126,1),(129,1),(133,1),(148,1)}
       114:{1,4,7}:{(94,1),(96,1),(127,1),(130,1)}
       115:{2,4,7}:{(95,1),(96,1),(128,1),(131,1)}
       116:{2,4,6}:{(97,1),(98,1),(99,1),(132,1)}
       117:{3,5,7}:{(99,1),(131,1),(132,1),(133,1),(152,1)}
       118:{1,5,6}:{(100,1),(101,1),(102,1),(134,1)}
       119:{4,6}:{(101,1),(103,1)}
       120:{1,4,5,7}:{(102,1),(103,1),(114,1),(134,1),(135,1),(138,1)}
       121:{3,7}:{(104,1),(105,1),(136,1),(174,1)}
       122:{1,2,4,6}:{(105,1),(106,1),(107,1),(109,1),(136,1),(137,1),(159,1)}
       123:{1,5}:{(106,1),(108,1)}
       124:{2,5}:{(107,1),(108,1)}
       125:{4,5}:{(108,1),(112,1),(159,1)}
       126:{1,2,5,6}:{(109,1),(110,1),(111,1),(113,1),(137,1),(140,1),(146,1),(158,1),(161,1),(162,1),(172,1)}
       127:{1,4,6}:{(110,1),(112,1),(114,1),(138,1),(141,1),(159,1),(170,1)}
       128:{2,4,6}:{(111,1),(112,1),(115,1),(139,1),(142,1),(159,1),(171,1)}
       129:{1,2,4,7}:{(113,1),(114,1),(115,1),(140,1),(143,1),(144,1),(145,1),(165,1)}
       130:{3,4,7}:{(114,1),(135,1),(141,1),(143,1),(144,1)}
       131:{3,4,7}:{(115,1),(117,1),(142,1),(143,1),(145,1)}
       132:{3,6}:{(116,1),(117,1),(146,1)}
       133:{1,5,7}:{(117,1),(145,1),(146,1),(162,1)}
       134:{1,4,6}:{(118,1),(119,1),(120,1),(147,1)}
       135:{3,5,7}:{(120,1),(130,1),(147,1),(148,1),(151,1)}
       136:{3,6}:{(121,1),(122,1),(149,1)}
       137:{1,2,5}:{(122,1),(123,1),(124,1),(149,1)}
       138:{1,4,5}:{(123,1),(125,1),(127,1),(151,1)}
       139:{2,4,5}:{(124,1),(125,1),(128,1),(152,1)}
       140:{1,2,4,6}:{(126,1),(127,1),(128,1),(129,1),(150,1),(153,1),(154,1),(155,1),(169,1),(173,1)}
       141:{3,4,6}:{(127,1),(130,1),(147,1),(151,1),(153,1),(154,1),(166,1)}
       142:{3,4,6}:{(128,1),(131,1),(132,1),(152,1),(153,1),(155,1),(166,1)}
       143:{3,7}:{(129,1),(153,1)}
       144:{2,4,7}:{(130,1),(148,1),(154,1),(157,1)}
       145:{1,4,7}:{(131,1),(133,1),(155,1),(156,1)}
       146:{1,6}:{(132,1),(133,1)}
       147:{3,6}:{(134,1),(135,1),(158,1)}
       148:{2,5,7}:{(135,1),(144,1),(158,1),(161,1)}
       149:{3,5}:{(136,1),(137,1),(159,1)}
       150:{1,2,4,5}:{(137,1),(138,1),(139,1),(140,1),(159,1),(160,1),(161,1),(162,1),(170,1),(171,1),(172,1)}
       151:{3,5}:{(138,1),(141,1),(161,1)}
       152:{3,5}:{(139,1),(142,1),(162,1)}
       153:{3,6}:{(140,1),(143,1),(160,1),(174,1)}
       154:{2,4,6}:{(141,1),(144,1),(158,1),(161,1),(164,1),(171,1)}
       155:{1,4,6}:{(142,1),(145,1),(146,1),(162,1),(163,1),(170,1)}
       156:{1,3,7}:{(143,1),(145,1),(163,1),(165,1)}
       157:{2,3,7}:{(143,1),(144,1),(164,1),(165,1)}
       158:{2,6}:{(147,1),(148,1)}
       159:{4}:{(149,1)}
       160:{3,5}:{(150,1),(153,1),(166,1)}
       161:{2,5}:{(151,1),(154,1)}
       162:{1,5}:{(152,1),(155,1)}
       163:{1,3,6}:{(153,1),(155,1),(156,1),(167,1),(169,1)}
       164:{2,3,6}:{(153,1),(154,1),(157,1),(168,1),(169,1)}
       165:{1,2,7}:{(156,1),(157,1),(169,1)}
       166:{3,4}:{(159,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(160,1),(162,1),(163,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(160,1),(161,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(163,1),(164,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

 229 :   0:{1,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(14,1),(18,1),(44,1)}
         1:{1,2,5,7}:{(0,1),(5,1),(6,1),(7,1),(20,1),(29,1),(52,1)}
         2:{1,4,7}:{(0,1),(8,1),(9,1),(60,1),(95,1)}
         3:{1,3,6}:{(0,1),(7,1),(9,1),(21,1),(28,1),(99,1)}
         4:{1,4,5,7}:{(2,1),(10,1),(11,1),(18,1),(33,1),(46,1),(63,1)}
         5:{2,3,5,7}:{(1,1),(12,1),(13,1),(14,1),(36,1),(40,1),(44,1)}
         6:{1,2,4,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(16,1),(38,1),(41,1)}
         7:{1,2,6}:{(1,1),(3,1),(13,1),(34,1),(67,1),(103,1)}
         8:{3,4,7}:{(2,1),(10,1),(14,1),(16,1),(17,1),(63,1),(86,1)}
         9:{1,4,6}:{(2,1),(3,1),(17,1),(18,1),(87,1),(94,1)}
        10:{3,5,7}:{(4,1),(8,1),(20,1),(21,1),(31,1)}
        11:{1,4,6}:{(4,1),(21,1),(22,1),(50,1)}
        12:{2,4,7}:{(5,1),(24,1),(25,1),(60,1),(104,1)}
        13:{2,3,6}:{(5,1),(7,1),(25,1),(28,1),(53,1),(100,1)}
        14:{3,7}:{(6,1),(28,1)}
        15:{1,2,4,6}:{(6,1),(7,1),(9,1),(25,1),(28,1),(29,1),(30,1),(55,1),(57,1),(60,1),(82,1)}
        16:{2,4,7}:{(8,1),(20,1),(27,1),(30,1)}
        17:{3,4,6}:{(8,1),(9,1),(21,1),(28,1),(30,1),(31,1),(50,1),(60,1),(76,1),(84,1)}
        18:{1,5}:{(9,1),(31,1)}
        19:{1,4,6,7}:{(11,1),(32,1),(33,1),(63,1)}
        20:{2,5,7}:{(10,1),(16,1),(34,1),(45,1)}
        21:{3,6}:{(10,1),(11,1),(34,1)}
        22:{1,5,6}:{(11,1),(18,1),(33,1),(35,1),(87,1)}
        23:{2,4,5,7}:{(12,1),(36,1),(37,1),(40,1),(66,1),(70,1),(89,1)}
        24:{3,4,7}:{(12,1),(14,1),(36,1),(38,1),(39,1),(89,1),(101,1)}
        25:{2,4,6}:{(12,1),(13,1),(39,1),(40,1),(93,1),(102,1)}
        26:{1,3,7}:{(14,1),(38,1),(41,1),(42,1),(101,1)}
        27:{2,3,7}:{(14,1),(16,1),(41,1),(43,1),(86,1)}
        28:{3,6}:{(14,1),(15,1),(44,1),(92,1)}
        29:{1,2,5}:{(15,1),(18,1),(40,1),(44,1),(45,1),(69,1)}
        30:{2,4,6}:{(16,1),(17,1),(34,1),(43,1),(45,1),(73,1)}
        31:{3,5}:{(17,1),(18,1),(45,1),(46,1)}
        32:{3,6,7}:{(19,1),(21,1),(47,1),(48,1)}
        33:{1,5,7}:{(19,1),(22,1),(48,1),(95,1)}
        34:{2,6}:{(20,1),(21,1)}
        35:{3,5,6}:{(21,1),(22,1),(31,1),(48,1),(49,1),(50,1),(76,1)}
        36:{3,5,7}:{(23,1),(24,1),(52,1),(53,1),(56,1)}
        37:{2,4,6}:{(23,1),(53,1),(54,1),(80,1)}
        38:{1,4,7}:{(24,1),(26,1),(52,1),(55,1)}
        39:{3,4,6}:{(24,1),(25,1),(28,1),(53,1),(55,1),(56,1),(60,1),(80,1),(83,1),(97,1)}
        40:{2,5}:{(25,1),(56,1)}
        41:{1,2,7}:{(26,1),(27,1),(57,1),(95,1),(104,1)}
        42:{1,3,6}:{(26,1),(28,1),(55,1),(57,1),(58,1),(97,1)}
        43:{2,3,6}:{(27,1),(28,1),(30,1),(57,1),(59,1),(76,1)}
        44:{3,5}:{(28,1),(29,1),(60,1)}
        45:{2,5}:{(30,1),(31,1)}
        46:{4,5}:{(31,1),(50,1),(60,1)}
        47:{2,6,7}:{(32,1),(34,1),(62,1)}
        48:{3,5,7}:{(32,1),(33,1),(35,1),(62,1),(63,1),(86,1)}
        49:{2,5,6}:{(34,1),(35,1),(45,1),(62,1),(64,1)}
        50:{4,6}:{(35,1),(46,1),(63,1)}
        51:{2,4,6,7}:{(37,1),(65,1),(66,1),(89,1)}
        52:{1,5,7}:{(36,1),(38,1),(67,1),(69,1)}
        53:{3,6}:{(36,1),(37,1),(67,1)}
        54:{2,5,6}:{(37,1),(40,1),(66,1),(68,1),(102,1)}
        55:{1,4,6}:{(38,1),(39,1),(42,1),(67,1),(69,1),(72,1)}
        56:{3,5}:{(39,1),(40,1),(69,1),(70,1)}
        57:{1,2,6}:{(41,1),(42,1),(43,1),(71,1),(87,1),(102,1)}
        58:{1,3,5}:{(42,1),(44,1),(69,1),(71,1),(72,1),(91,1),(92,1)}
        59:{2,3,5}:{(43,1),(44,1),(45,1),(71,1),(73,1),(74,1),(92,1)}
        60:{4}:{(44,1)}
        61:{2,4,5}:{(45,1),(46,1),(64,1),(73,1),(74,1)}
        62:{2,5,7}:{(47,1),(48,1),(49,1),(75,1)}
        63:{4,7}:{(48,1),(50,1)}
        64:{2,4,6}:{(49,1),(50,1),(61,1),(75,1),(76,1)}
        65:{3,6,7}:{(51,1),(53,1),(77,1),(78,1)}
        66:{2,5,7}:{(51,1),(54,1),(78,1),(104,1)}
        67:{1,6}:{(52,1),(53,1)}
        68:{3,5,6}:{(53,1),(54,1),(56,1),(78,1),(79,1),(80,1),(97,1)}
        69:{1,5}:{(55,1),(56,1)}
        70:{4,5}:{(56,1),(60,1),(80,1)}
        71:{1,2,5}:{(57,1),(58,1),(59,1),(82,1),(85,1),(98,1)}
        72:{1,4}:{(58,1),(60,1),(83,1)}
        73:{2,4}:{(59,1),(60,1),(84,1)}
        74:{3,5}:{(61,1),(76,1),(84,1),(85,1)}
        75:{2,4,7}:{(62,1),(63,1),(64,1),(86,1)}
        76:{3,6}:{(64,1),(74,1),(86,1),(87,1)}
        77:{1,6,7}:{(65,1),(67,1),(88,1)}
        78:{3,5,7}:{(65,1),(66,1),(68,1),(88,1),(89,1),(101,1)}
        79:{1,5,6}:{(67,1),(68,1),(69,1),(88,1),(90,1)}
        80:{4,6}:{(68,1),(70,1),(89,1)}
        81:{1,4,5}:{(69,1),(70,1),(72,1),(90,1),(91,1)}
        82:{1,2,4}:{(71,1),(72,1),(73,1),(92,1),(93,1),(94,1),(103,1)}
        83:{3,4}:{(72,1),(91,1),(92,1),(93,1)}
        84:{3,4}:{(73,1),(74,1),(92,1),(94,1)}
        85:{1,5}:{(74,1),(87,1),(94,1)}
        86:{3,7}:{(75,1),(76,1),(95,1)}
        87:{1,6}:{(76,1),(85,1),(95,1)}
        88:{1,5,7}:{(77,1),(78,1),(79,1),(96,1)}
        89:{4,7}:{(78,1),(80,1)}
        90:{1,4,6}:{(79,1),(80,1),(81,1),(96,1),(97,1)}
        91:{3,5}:{(81,1),(83,1),(97,1),(98,1)}
        92:{3}:{(82,1)}
        93:{2,4}:{(83,1),(98,1),(100,1)}
        94:{1,4}:{(84,1),(85,1),(99,1)}
        95:{1,7}:{(86,1),(87,1)}
        96:{1,4,7}:{(88,1),(89,1),(90,1),(101,1)}
        97:{3,6}:{(90,1),(91,1),(101,1),(102,1)}
        98:{2,5}:{(91,1),(93,1),(102,1)}
        99:{1,3}:{(92,1),(94,1),(103,1)}
       100:{2,3}:{(92,1),(93,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{2,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{2,7}:{(101,1),(102,1)}

 230 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1)}
        2:{2,5}:{(0,1),(5,1),(21,1),(24,1)}
        3:{2,4,7}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,6}:{(1,1),(8,1),(9,1)}
        5:{3,5}:{(1,1),(2,1),(8,1),(10,1),(17,1)}
        6:{3,7}:{(1,1),(3,1),(9,1),(33,1)}
        7:{2,5,7}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,5}:{(4,1),(5,1),(13,1)}
        9:{1,7}:{(4,1),(6,1),(34,1)}
       10:{4}:{(5,1)}
       11:{3,5,7}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{2,6}:{(7,1),(16,1)}
       13:{1,4}:{(8,1),(10,1),(17,1)}
       14:{1,5,7}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{4,7}:{(10,1),(11,1),(20,1),(31,1)}
       16:{3,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{3}:{(13,1),(21,1)}
       18:{1,4,7}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,6}:{(14,1),(16,1)}
       20:{4,6}:{(15,1),(16,1),(24,1)}
       21:{2}:{(17,1)}
       22:{3,7}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,4,6}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{5}:{(20,1)}
       25:{2,7}:{(21,1),(22,1),(28,1)}
       26:{3,6}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,5}:{(23,1),(24,1),(29,1),(34,1)}
       28:{2,6}:{(25,1),(26,1),(30,1)}
       29:{3,5}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{2,5}:{(28,1),(29,1),(32,1)}
       31:{4}:{(29,1)}
       32:{2,4}:{(30,1),(31,1),(33,1)}
       33:{3}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

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

 232 :   0:{1,4,5,7}:{(2,1),(3,1),(5,1),(13,1),(21,1),(36,1),(38,1)}
         1:{1,4,6,7}:{(3,1),(4,1),(5,1),(21,1)}
         2:{3,5,7}:{(0,1),(6,1),(8,1),(9,1),(26,1)}
         3:{1,4,6}:{(0,1),(9,1),(10,1),(30,1)}
         4:{3,6,7}:{(1,1),(9,1),(11,1),(12,1)}
         5:{1,5,7}:{(1,1),(10,1),(12,1),(53,1)}
         6:{3,4,7}:{(2,1),(13,1),(14,1),(15,1),(21,1),(34,1),(42,1)}
         7:{1,3,5,7}:{(2,1),(13,1),(16,1),(17,1),(34,1),(36,1),(60,1)}
         8:{2,5,7}:{(2,1),(14,1),(18,1),(37,1)}
         9:{3,6}:{(2,1),(3,1),(18,1)}
        10:{1,5,6}:{(3,1),(5,1),(19,1),(36,1),(64,1)}
        11:{2,6,7}:{(4,1),(18,1),(20,1)}
        12:{3,5,7}:{(4,1),(5,1),(19,1),(20,1),(21,1),(42,1)}
        13:{1,4,7}:{(6,1),(7,1),(24,1),(53,1),(72,1)}
        14:{2,4,7}:{(6,1),(8,1),(22,1),(25,1)}
        15:{3,4,6}:{(6,1),(9,1),(24,1),(25,1),(26,1),(30,1),(47,1),(52,1),(69,1),(72,1)}
        16:{1,2,5,7}:{(7,1),(8,1),(23,1),(27,1),(28,1),(48,1),(65,1)}
        17:{1,3,6}:{(7,1),(9,1),(24,1),(28,1),(47,1),(89,1)}
        18:{2,6}:{(8,1),(9,1)}
        19:{3,5,6}:{(9,1),(10,1),(12,1),(26,1),(29,1),(30,1),(52,1)}
        20:{2,5,7}:{(11,1),(12,1),(29,1),(31,1)}
        21:{4,7}:{(12,1),(30,1)}
        22:{2,3,7}:{(14,1),(32,1),(33,1),(34,1),(42,1)}
        23:{1,2,4,7}:{(13,1),(14,1),(16,1),(32,1),(34,1),(35,1),(39,1),(54,1)}
        24:{1,4,6}:{(13,1),(15,1),(17,1),(36,1),(64,1),(80,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(33,1),(37,1),(57,1)}
        26:{3,5}:{(15,1),(36,1),(37,1),(38,1)}
        27:{2,3,5,7}:{(16,1),(34,1),(39,1),(40,1),(58,1),(60,1),(63,1)}
        28:{1,2,6}:{(16,1),(17,1),(18,1),(40,1),(76,1),(97,1)}
        29:{2,5,6}:{(18,1),(19,1),(20,1),(37,1),(41,1)}
        30:{4,6}:{(19,1),(21,1),(38,1)}
        31:{2,4,7}:{(20,1),(21,1),(41,1),(42,1)}
        32:{1,2,7}:{(22,1),(43,1),(44,1),(53,1),(104,1)}
        33:{2,3,6}:{(22,1),(25,1),(44,1),(45,1),(47,1),(52,1)}
        34:{3,7}:{(23,1),(47,1)}
        35:{1,2,4,6}:{(23,1),(24,1),(25,1),(28,1),(44,1),(47,1),(48,1),(51,1),(66,1),(68,1),(72,1)}
        36:{1,5}:{(24,1),(26,1)}
        37:{2,5}:{(25,1),(26,1)}
        38:{4,5}:{(26,1),(30,1),(72,1)}
        39:{2,4,7}:{(27,1),(46,1),(51,1),(72,1),(104,1)}
        40:{2,3,6}:{(27,1),(28,1),(47,1),(51,1),(70,1),(90,1)}
        41:{2,4,6}:{(29,1),(30,1),(31,1),(49,1),(52,1)}
        42:{3,7}:{(31,1),(52,1),(53,1)}
        43:{1,3,7}:{(32,1),(34,1),(54,1),(55,1),(102,1)}
        44:{1,2,6}:{(32,1),(33,1),(55,1),(56,1),(64,1),(103,1)}
        45:{2,3,5}:{(33,1),(37,1),(56,1),(57,1),(60,1),(61,1),(79,1)}
        46:{3,4,7}:{(34,1),(39,1),(54,1),(58,1),(59,1),(98,1),(102,1)}
        47:{3,6}:{(34,1),(35,1),(60,1),(79,1)}
        48:{1,2,5}:{(35,1),(36,1),(37,1),(60,1),(63,1),(77,1)}
        49:{2,4,5}:{(37,1),(38,1),(41,1),(57,1),(61,1)}
        50:{2,4,5,7}:{(39,1),(58,1),(62,1),(63,1),(83,1),(84,1),(98,1)}
        51:{2,4,6}:{(39,1),(40,1),(59,1),(63,1),(96,1),(103,1)}
        52:{3,6}:{(41,1),(42,1),(61,1),(64,1)}
        53:{1,7}:{(42,1),(64,1)}
        54:{1,4,7}:{(43,1),(46,1),(65,1),(66,1)}
        55:{1,3,6}:{(43,1),(44,1),(47,1),(66,1),(67,1),(100,1)}
        56:{1,2,5}:{(44,1),(45,1),(67,1),(68,1),(73,1),(101,1)}
        57:{2,4}:{(45,1),(69,1),(72,1)}
        58:{3,5,7}:{(46,1),(50,1),(65,1),(70,1),(71,1)}
        59:{3,4,6}:{(46,1),(47,1),(51,1),(66,1),(70,1),(71,1),(72,1),(88,1),(92,1),(100,1)}
        60:{3,5}:{(47,1),(48,1),(72,1)}
        61:{3,5}:{(49,1),(52,1),(69,1),(73,1)}
        62:{2,4,6}:{(50,1),(70,1),(75,1),(92,1)}
        63:{2,5}:{(51,1),(71,1)}
        64:{1,6}:{(52,1),(53,1),(73,1)}
        65:{1,5,7}:{(54,1),(58,1),(76,1),(77,1)}
        66:{1,4,6}:{(54,1),(55,1),(59,1),(76,1),(77,1),(78,1)}
        67:{1,3,5}:{(55,1),(56,1),(60,1),(77,1),(78,1),(79,1),(95,1)}
        68:{1,2,4}:{(56,1),(57,1),(78,1),(79,1),(80,1),(96,1),(97,1)}
        69:{3,4}:{(57,1),(61,1),(79,1),(80,1)}
        70:{3,6}:{(58,1),(62,1),(76,1)}
        71:{3,5}:{(59,1),(63,1),(77,1),(83,1)}
        72:{4}:{(60,1)}
        73:{1,5}:{(61,1),(64,1),(80,1)}
        74:{2,4,6,7}:{(62,1),(81,1),(84,1),(98,1)}
        75:{2,5,6}:{(62,1),(63,1),(82,1),(84,1),(103,1)}
        76:{1,6}:{(65,1),(70,1)}
        77:{1,5}:{(66,1),(71,1)}
        78:{1,4}:{(67,1),(72,1),(88,1)}
        79:{3}:{(68,1)}
        80:{1,4}:{(69,1),(73,1),(89,1)}
        81:{3,6,7}:{(70,1),(74,1),(85,1),(91,1)}
        82:{3,5,6}:{(70,1),(71,1),(75,1),(86,1),(91,1),(92,1),(100,1)}
        83:{4,5}:{(71,1),(72,1),(92,1)}
        84:{2,5,7}:{(74,1),(75,1),(91,1),(104,1)}
        85:{1,6,7}:{(76,1),(81,1),(93,1)}
        86:{1,5,6}:{(76,1),(77,1),(82,1),(93,1),(94,1)}
        87:{1,4,5}:{(77,1),(78,1),(83,1),(94,1),(95,1)}
        88:{3,4}:{(78,1),(79,1),(95,1),(96,1)}
        89:{1,3}:{(79,1),(80,1),(97,1)}
        90:{2,3}:{(79,1),(96,1),(97,1)}
        91:{3,5,7}:{(81,1),(82,1),(84,1),(93,1),(98,1),(102,1)}
        92:{4,6}:{(82,1),(83,1),(98,1)}
        93:{1,5,7}:{(85,1),(86,1),(91,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(92,1),(99,1),(100,1)}
        95:{3,5}:{(87,1),(88,1),(100,1),(101,1)}
        96:{2,4}:{(88,1),(90,1),(101,1)}
        97:{1,2}:{(89,1),(90,1)}
        98:{4,7}:{(91,1),(92,1)}
        99:{1,4,7}:{(93,1),(94,1),(98,1),(102,1)}
       100:{3,6}:{(94,1),(95,1),(102,1),(103,1)}
       101:{2,5}:{(95,1),(96,1),(103,1)}
       102:{3,7}:{(99,1),(100,1),(104,1)}
       103:{2,6}:{(100,1),(101,1),(104,1)}
       104:{2,7}:{(102,1),(103,1)}

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

 234 :  0:{1,2,4,5}:{(1,1),(2,1),(9,1),(10,1),(12,1),(31,1),(33,1),(35,1)}
        1:{3,5}:{(0,1),(3,1),(6,1)}
        2:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(19,1),(20,1),(23,1),(26,1)}
        3:{3,4}:{(1,1),(9,1),(10,1),(29,1)}
        4:{1,3,5}:{(1,1),(9,1),(12,1),(13,1),(29,1),(31,1),(48,1)}
        5:{2,3,5}:{(1,1),(10,1),(12,1),(14,1),(29,1),(33,1),(48,1)}
        6:{3,6}:{(1,1),(2,1),(16,1)}
        7:{1,2,5,6}:{(2,1),(15,1),(17,1),(31,1),(33,1),(51,1),(52,1)}
        8:{1,2,4,7}:{(2,1),(16,1),(17,1),(32,1),(34,1),(37,1),(38,1)}
        9:{1,4}:{(3,1),(4,1),(55,1)}
       10:{2,4}:{(3,1),(5,1),(55,1)}
       11:{3,4,6}:{(3,1),(6,1),(19,1),(20,1),(21,1),(22,1),(26,1),(40,1),(46,1),(55,1),(61,1)}
       12:{1,2,5}:{(4,1),(5,1),(18,1),(23,1)}
       13:{1,3,6}:{(4,1),(6,1),(19,1),(23,1),(24,1),(40,1)}
       14:{2,3,6}:{(5,1),(6,1),(20,1),(23,1),(25,1),(40,1)}
       15:{3,5,6}:{(6,1),(7,1),(21,1),(26,1),(27,1),(46,1),(58,1)}
       16:{3,7}:{(6,1),(8,1)}
       17:{1,2,5,7}:{(7,1),(8,1),(27,1),(28,1),(43,1),(44,1)}
       18:{1,2,4}:{(9,1),(10,1),(12,1),(29,1)}
       19:{1,4,6}:{(9,1),(11,1),(13,1),(31,1),(32,1),(51,1)}
       20:{2,4,6}:{(10,1),(11,1),(14,1),(33,1),(34,1),(52,1)}
       21:{3,5}:{(11,1),(31,1),(33,1),(35,1),(62,1)}
       22:{3,4,7}:{(11,1),(16,1),(32,1),(34,1),(36,1),(38,1),(49,1),(59,1)}
       23:{1,2,6}:{(12,1),(13,1),(14,1),(37,1)}
       24:{1,3,7}:{(13,1),(16,1),(32,1),(37,1),(49,1)}
       25:{2,3,7}:{(14,1),(16,1),(34,1),(37,1),(49,1)}
       26:{4,6}:{(15,1),(35,1),(38,1)}
       27:{3,5,7}:{(15,1),(16,1),(17,1),(38,1),(39,1),(54,1)}
       28:{1,2,6,7}:{(17,1),(39,1),(51,1),(52,1)}
       29:{3}:{(18,1)}
       30:{1,2,4,6}:{(18,1),(19,1),(20,1),(23,1),(40,1),(41,1),(42,1),(55,1),(57,1),(61,1)}
       31:{1,5}:{(19,1),(21,1)}
       32:{1,4,7}:{(19,1),(22,1),(24,1),(43,1)}
       33:{2,5}:{(20,1),(21,1)}
       34:{2,4,7}:{(20,1),(22,1),(25,1),(44,1)}
       35:{4,5}:{(21,1),(26,1),(55,1)}
       36:{3,5,7}:{(21,1),(22,1),(43,1),(44,1),(45,1),(46,1)}
       37:{1,2,7}:{(23,1),(24,1),(25,1)}
       38:{4,7}:{(26,1),(27,1)}
       39:{3,6,7}:{(27,1),(28,1),(46,1),(47,1)}
       40:{3,6}:{(29,1),(30,1),(48,1),(49,1)}
       41:{1,2,5}:{(30,1),(31,1),(33,1),(48,1),(62,1)}
       42:{1,2,4,7}:{(30,1),(32,1),(34,1),(37,1),(49,1),(50,1),(59,1)}
       43:{1,5,7}:{(31,1),(32,1),(36,1),(51,1)}
       44:{2,5,7}:{(33,1),(34,1),(36,1),(52,1)}
       45:{4,5,7}:{(35,1),(36,1),(38,1),(53,1),(54,1),(59,1),(62,1)}
       46:{3,6}:{(36,1),(51,1),(52,1),(53,1)}
       47:{4,6,7}:{(38,1),(39,1),(53,1),(54,1)}
       48:{3,5}:{(40,1),(41,1),(55,1)}
       49:{3,7}:{(40,1),(42,1)}
       50:{1,2,5,7}:{(41,1),(42,1),(43,1),(44,1),(56,1),(57,1)}
       51:{1,6}:{(43,1),(46,1)}
       52:{2,6}:{(44,1),(46,1)}
       53:{4,6}:{(45,1),(46,1),(58,1)}
       54:{5,7}:{(47,1),(58,1)}
       55:{4}:{(48,1)}
       56:{3,5,7}:{(48,1),(49,1),(50,1),(59,1),(60,1),(62,1)}
       57:{1,2,6}:{(50,1),(51,1),(52,1),(60,1)}
       58:{5,6}:{(53,1),(54,1),(62,1)}
       59:{4,7}:{(55,1),(56,1),(61,1)}
       60:{3,6}:{(56,1),(57,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 235 :   0:{1,3,5}:{(2,1),(3,1),(4,1),(5,1),(19,1),(24,1),(57,1)}
         1:{1,4,5}:{(3,1),(5,1),(6,1),(24,1),(62,1)}
         2:{1,2,5}:{(0,1),(7,1),(8,1),(9,1),(13,1),(69,1)}
         3:{1,4}:{(0,1),(10,1),(82,1)}
         4:{1,3,6}:{(0,1),(9,1),(11,1),(12,1),(14,1),(36,1),(147,1)}
         5:{3,5}:{(1,1),(10,1),(13,1),(14,1)}
         6:{1,4,6}:{(1,1),(14,1),(15,1),(16,1),(45,1)}
         7:{2,3,5}:{(2,1),(17,1),(18,1),(19,1),(48,1),(52,1),(57,1)}
         8:{1,2,4}:{(2,1),(3,1),(17,1),(19,1),(22,1),(50,1),(54,1)}
         9:{1,2,6}:{(2,1),(4,1),(18,1),(21,1),(26,1),(93,1),(152,1)}
        10:{3,4}:{(3,1),(5,1),(19,1),(22,1)}
        11:{1,4,6}:{(3,1),(4,1),(23,1),(24,1),(25,1),(64,1),(111,1),(139,1)}
        12:{1,3,7}:{(4,1),(21,1),(25,1),(28,1),(58,1)}
        13:{2,5}:{(5,1),(22,1),(26,1)}
        14:{3,6}:{(5,1),(6,1),(26,1),(28,1)}
        15:{1,5,6}:{(6,1),(24,1),(27,1),(29,1),(64,1),(111,1)}
        16:{1,4,7}:{(6,1),(28,1),(29,1),(67,1)}
        17:{2,4}:{(7,1),(31,1),(82,1)}
        18:{2,3,6}:{(7,1),(9,1),(32,1),(33,1),(36,1),(70,1),(148,1)}
        19:{3}:{(8,1)}
        20:{1,2,4,6}:{(8,1),(9,1),(11,1),(32,1),(36,1),(37,1),(38,1),(39,1),(73,1),(77,1),(82,1),(84,1),(123,1),(126,1)}
        21:{1,2,7}:{(9,1),(12,1),(33,1),(44,1),(115,1)}
        22:{2,4}:{(10,1),(13,1),(35,1)}
        23:{3,4,6}:{(10,1),(11,1),(14,1),(36,1),(39,1),(40,1),(41,1),(45,1),(82,1),(88,1),(89,1),(125,1),(126,1)}
        24:{1,5}:{(11,1),(40,1)}
        25:{1,4,7}:{(11,1),(12,1),(41,1),(42,1),(129,1)}
        26:{2,6}:{(13,1),(14,1),(44,1)}
        27:{3,5,6}:{(14,1),(15,1),(40,1),(43,1),(45,1),(46,1),(88,1),(89,1),(128,1)}
        28:{3,7}:{(14,1),(16,1),(44,1)}
        29:{1,5,7}:{(15,1),(16,1),(46,1),(47,1),(129,1)}
        30:{2,4,5}:{(17,1),(48,1),(49,1),(52,1),(99,1)}
        31:{3,4}:{(17,1),(19,1),(48,1),(50,1)}
        32:{2,4,6}:{(17,1),(18,1),(51,1),(52,1),(53,1),(101,1),(138,1),(149,1)}
        33:{2,3,7}:{(18,1),(21,1),(53,1),(58,1),(95,1)}
        34:{1,3}:{(19,1),(50,1),(54,1)}
        35:{2,3}:{(19,1),(22,1),(54,1)}
        36:{3,6}:{(19,1),(20,1),(57,1),(58,1),(137,1)}
        37:{1,2,5}:{(20,1),(24,1),(52,1),(57,1),(60,1),(97,1),(140,1)}
        38:{1,2,4,7}:{(20,1),(21,1),(25,1),(53,1),(58,1),(59,1),(61,1),(98,1),(103,1),(106,1)}
        39:{2,4,6}:{(22,1),(23,1),(26,1),(56,1),(60,1),(61,1),(105,1),(109,1)}
        40:{3,5}:{(23,1),(24,1),(60,1),(62,1),(140,1)}
        41:{3,4,7}:{(23,1),(25,1),(28,1),(58,1),(61,1),(63,1),(67,1),(106,1),(112,1)}
        42:{1,5,7}:{(24,1),(25,1),(63,1),(64,1)}
        43:{2,5,6}:{(26,1),(27,1),(60,1),(65,1),(66,1),(109,1)}
        44:{2,7}:{(26,1),(28,1)}
        45:{4,6}:{(27,1),(62,1),(67,1)}
        46:{3,5,7}:{(27,1),(28,1),(29,1),(66,1),(67,1),(68,1),(112,1),(113,1)}
        47:{1,6,7}:{(29,1),(64,1),(68,1)}
        48:{3,5}:{(30,1),(31,1),(69,1),(70,1)}
        49:{2,4,6}:{(30,1),(70,1),(71,1),(72,1),(116,1)}
        50:{1,4}:{(31,1),(34,1),(69,1)}
        51:{3,4,6}:{(31,1),(32,1),(36,1),(70,1),(73,1),(74,1),(75,1),(82,1),(116,1),(122,1),(124,1),(126,1),(141,1)}
        52:{2,5}:{(32,1),(74,1)}
        53:{2,4,7}:{(32,1),(33,1),(75,1),(76,1),(153,1)}
        54:{1,2}:{(34,1),(35,1)}
        55:{1,3,6}:{(34,1),(36,1),(73,1),(77,1),(78,1),(79,1),(141,1)}
        56:{2,3,6}:{(35,1),(36,1),(39,1),(77,1),(80,1),(81,1),(89,1)}
        57:{3,5}:{(36,1),(37,1),(82,1)}
        58:{3,7}:{(36,1),(38,1)}
        59:{1,2,5,7}:{(37,1),(38,1),(42,1),(76,1),(83,1),(84,1),(86,1),(120,1)}
        60:{2,5}:{(39,1),(40,1)}
        61:{2,4,7}:{(39,1),(41,1),(44,1),(81,1),(86,1)}
        62:{4,5}:{(40,1),(45,1),(82,1)}
        63:{3,5,7}:{(40,1),(41,1),(42,1),(86,1),(87,1),(88,1)}
        64:{1,6}:{(42,1),(88,1)}
        65:{2,4,6}:{(43,1),(45,1),(85,1),(89,1),(90,1)}
        66:{2,5,7}:{(43,1),(44,1),(46,1),(90,1),(91,1)}
        67:{4,7}:{(45,1),(46,1)}
        68:{3,6,7}:{(46,1),(47,1),(88,1),(91,1),(92,1)}
        69:{1,5}:{(48,1),(50,1),(93,1)}
        70:{3,6}:{(48,1),(49,1),(93,1),(95,1)}
        71:{2,5,6}:{(49,1),(52,1),(94,1),(96,1),(101,1),(149,1)}
        72:{2,4,7}:{(49,1),(95,1),(96,1),(132,1)}
        73:{1,4,6}:{(50,1),(51,1),(55,1),(93,1),(97,1),(98,1),(104,1),(135,1)}
        74:{3,5}:{(51,1),(52,1),(97,1),(99,1),(140,1)}
        75:{3,4,7}:{(51,1),(53,1),(58,1),(95,1),(98,1),(100,1),(106,1),(132,1),(150,1)}
        76:{2,5,7}:{(52,1),(53,1),(100,1),(101,1)}
        77:{1,2,6}:{(54,1),(55,1),(56,1),(102,1),(103,1),(111,1),(149,1)}
        78:{1,3,5}:{(55,1),(57,1),(97,1),(102,1),(104,1),(134,1),(137,1)}
        79:{1,3,7}:{(55,1),(58,1),(98,1),(103,1),(150,1)}
        80:{2,3,5}:{(56,1),(57,1),(60,1),(102,1),(105,1),(108,1),(137,1)}
        81:{2,3,7}:{(56,1),(58,1),(61,1),(103,1),(112,1)}
        82:{4}:{(57,1)}
        83:{3,5,7}:{(57,1),(58,1),(59,1),(106,1),(107,1),(140,1)}
        84:{1,2,6}:{(59,1),(64,1),(101,1),(107,1),(109,1),(135,1)}
        85:{2,4,5}:{(60,1),(62,1),(65,1),(105,1),(108,1)}
        86:{2,5,7}:{(60,1),(61,1),(63,1),(109,1)}
        87:{4,5,7}:{(62,1),(63,1),(67,1),(106,1),(110,1),(113,1),(140,1)}
        88:{3,6}:{(63,1),(64,1),(109,1),(110,1)}
        89:{3,6}:{(65,1),(108,1),(111,1),(112,1)}
        90:{2,4,7}:{(65,1),(66,1),(67,1),(112,1)}
        91:{2,6,7}:{(66,1),(68,1),(109,1)}
        92:{4,6,7}:{(67,1),(68,1),(110,1),(113,1)}
        93:{1,6}:{(69,1),(70,1),(115,1)}
        94:{3,5,6}:{(70,1),(71,1),(74,1),(114,1),(116,1),(117,1),(122,1),(141,1),(146,1)}
        95:{3,7}:{(70,1),(72,1),(115,1)}
        96:{2,5,7}:{(71,1),(72,1),(117,1),(118,1),(153,1)}
        97:{1,5}:{(73,1),(74,1)}
        98:{1,4,7}:{(73,1),(75,1),(79,1),(115,1),(120,1)}
        99:{4,5}:{(74,1),(82,1),(116,1)}
       100:{3,5,7}:{(74,1),(75,1),(76,1),(120,1),(121,1),(122,1)}
       101:{2,6}:{(76,1),(122,1)}
       102:{1,2,5}:{(77,1),(78,1),(80,1),(123,1),(127,1),(145,1)}
       103:{1,2,7}:{(77,1),(79,1),(81,1),(129,1),(153,1)}
       104:{1,4}:{(78,1),(82,1),(124,1)}
       105:{2,4}:{(80,1),(82,1),(125,1)}
       106:{4,7}:{(82,1),(83,1),(126,1)}
       107:{3,6}:{(83,1),(84,1),(126,1)}
       108:{3,5}:{(85,1),(89,1),(125,1),(127,1)}
       109:{2,6}:{(86,1),(88,1)}
       110:{4,6}:{(87,1),(88,1),(128,1)}
       111:{1,6}:{(89,1),(127,1),(129,1)}
       112:{3,7}:{(89,1),(90,1),(129,1)}
       113:{5,7}:{(92,1),(128,1)}
       114:{1,5,6}:{(93,1),(94,1),(97,1),(130,1),(131,1),(135,1)}
       115:{1,7}:{(93,1),(95,1)}
       116:{4,6}:{(94,1),(99,1),(132,1)}
       117:{3,5,7}:{(94,1),(95,1),(96,1),(131,1),(132,1),(133,1),(150,1),(151,1)}
       118:{2,6,7}:{(96,1),(101,1),(133,1)}
       119:{1,4,5}:{(97,1),(99,1),(104,1),(130,1),(134,1)}
       120:{1,5,7}:{(97,1),(98,1),(100,1),(135,1)}
       121:{4,5,7}:{(99,1),(100,1),(106,1),(132,1),(136,1),(140,1),(151,1)}
       122:{3,6}:{(100,1),(101,1),(135,1),(136,1)}
       123:{1,2,4}:{(102,1),(104,1),(105,1),(137,1),(138,1),(139,1),(152,1)}
       124:{3,4}:{(104,1),(134,1),(137,1),(138,1)}
       125:{3,4}:{(105,1),(108,1),(137,1),(139,1)}
       126:{4,6}:{(106,1),(107,1),(140,1)}
       127:{1,5}:{(108,1),(111,1),(139,1)}
       128:{5,6}:{(110,1),(113,1),(140,1)}
       129:{1,7}:{(111,1),(112,1)}
       130:{1,4,6}:{(114,1),(116,1),(119,1),(141,1),(142,1)}
       131:{1,5,7}:{(114,1),(115,1),(117,1),(142,1),(143,1)}
       132:{4,7}:{(116,1),(117,1)}
       133:{3,6,7}:{(117,1),(118,1),(122,1),(143,1),(144,1)}
       134:{3,5}:{(119,1),(124,1),(141,1),(145,1)}
       135:{1,6}:{(120,1),(122,1)}
       136:{4,6}:{(121,1),(122,1),(146,1)}
       137:{3}:{(123,1)}
       138:{2,4}:{(124,1),(145,1),(148,1)}
       139:{1,4}:{(125,1),(127,1),(147,1)}
       140:{5}:{(126,1)}
       141:{3,6}:{(130,1),(134,1),(149,1),(150,1)}
       142:{1,4,7}:{(130,1),(131,1),(132,1),(150,1)}
       143:{1,6,7}:{(131,1),(133,1),(135,1)}
       144:{4,6,7}:{(132,1),(133,1),(136,1),(151,1)}
       145:{2,5}:{(134,1),(138,1),(149,1)}
       146:{5,6}:{(136,1),(140,1),(151,1)}
       147:{1,3}:{(137,1),(139,1),(152,1)}
       148:{2,3}:{(137,1),(138,1),(152,1)}
       149:{2,6}:{(141,1),(145,1),(153,1)}
       150:{3,7}:{(141,1),(142,1),(153,1)}
       151:{5,7}:{(144,1),(146,1)}
       152:{1,2}:{(147,1),(148,1)}
       153:{2,7}:{(149,1),(150,1)}

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

 237 :   0:{1,5,6}:{(2,1),(3,1),(4,1),(44,1),(48,1),(86,1)}
         1:{1,4,5}:{(3,1),(5,1),(17,1),(21,1),(48,1)}
         2:{3,5,6}:{(0,1),(6,1),(7,1),(8,1),(10,1),(28,1),(32,1),(70,1),(71,1)}
         3:{1,4,6}:{(0,1),(1,1),(7,1),(10,1),(11,1)}
         4:{1,5,7}:{(0,1),(8,1),(11,1),(12,1),(64,1)}
         5:{3,5}:{(1,1),(9,1),(10,1),(14,1)}
         6:{2,5,6}:{(2,1),(15,1),(16,1),(24,1),(49,1),(87,1)}
         7:{4,6}:{(2,1),(17,1),(19,1)}
         8:{3,5,7}:{(2,1),(4,1),(16,1),(19,1),(20,1),(25,1),(46,1),(55,1)}
         9:{3,4}:{(5,1),(21,1),(22,1),(56,1)}
        10:{3,6}:{(3,1),(5,1),(24,1),(25,1)}
        11:{1,4,7}:{(3,1),(4,1),(19,1),(25,1)}
        12:{1,6,7}:{(4,1),(20,1),(86,1)}
        13:{1,3,5}:{(5,1),(21,1),(23,1),(26,1),(48,1),(56,1),(84,1)}
        14:{2,5}:{(5,1),(22,1),(24,1)}
        15:{2,4,6}:{(6,1),(7,1),(27,1),(28,1),(29,1)}
        16:{2,5,7}:{(6,1),(8,1),(29,1),(30,1),(41,1)}
        17:{4,5}:{(7,1),(32,1),(100,1)}
        18:{3,4,6}:{(7,1),(9,1),(10,1),(28,1),(32,1),(34,1),(35,1),(36,1),(60,1),(70,1),(72,1),(100,1),(131,1)}
        19:{4,7}:{(7,1),(8,1)}
        20:{3,6,7}:{(8,1),(12,1),(30,1),(37,1),(70,1)}
        21:{1,4}:{(9,1),(13,1),(100,1)}
        22:{2,4}:{(9,1),(14,1),(31,1)}
        23:{1,3,6}:{(10,1),(13,1),(34,1),(39,1),(40,1),(72,1),(94,1)}
        24:{2,6}:{(10,1),(14,1),(41,1)}
        25:{3,7}:{(10,1),(11,1),(41,1)}
        26:{1,2,5}:{(13,1),(14,1),(38,1),(39,1),(42,1),(99,1)}
        27:{2,4,5}:{(15,1),(17,1),(43,1),(49,1),(79,1)}
        28:{3,6}:{(15,1),(43,1),(44,1),(46,1)}
        29:{2,4,7}:{(15,1),(16,1),(19,1),(46,1)}
        30:{2,6,7}:{(16,1),(20,1),(87,1)}
        31:{2,3}:{(22,1),(47,1),(56,1)}
        32:{3,5}:{(17,1),(18,1),(48,1),(49,1),(142,1)}
        33:{4,5,7}:{(17,1),(19,1),(50,1),(51,1),(55,1),(116,1),(142,1)}
        34:{1,4,6}:{(18,1),(21,1),(23,1),(44,1),(48,1),(53,1),(78,1),(86,1)}
        35:{2,4,6}:{(18,1),(22,1),(24,1),(45,1),(49,1),(54,1),(79,1),(87,1)}
        36:{3,4,7}:{(18,1),(19,1),(25,1),(46,1),(50,1),(53,1),(54,1),(89,1),(116,1)}
        37:{4,6,7}:{(19,1),(20,1),(51,1),(55,1)}
        38:{1,2,4}:{(21,1),(22,1),(26,1),(47,1),(56,1),(59,1),(83,1)}
        39:{1,2,6}:{(23,1),(24,1),(26,1),(57,1),(58,1),(109,1),(114,1)}
        40:{1,3,7}:{(23,1),(25,1),(53,1),(58,1),(89,1)}
        41:{2,7}:{(24,1),(25,1)}
        42:{2,3,5}:{(26,1),(56,1),(57,1),(59,1),(84,1),(90,1),(91,1)}
        43:{3,5}:{(27,1),(28,1),(60,1),(61,1)}
        44:{1,6}:{(28,1),(61,1),(64,1)}
        45:{2,3,6}:{(28,1),(31,1),(35,1),(62,1),(63,1),(65,1),(72,1)}
        46:{3,7}:{(28,1),(29,1),(64,1)}
        47:{1,2}:{(31,1),(66,1)}
        48:{1,5}:{(32,1),(34,1)}
        49:{2,5}:{(32,1),(35,1)}
        50:{3,5,7}:{(32,1),(33,1),(36,1),(68,1),(69,1),(70,1)}
        51:{4,6}:{(33,1),(70,1),(71,1)}
        52:{1,2,4,6}:{(34,1),(35,1),(38,1),(39,1),(63,1),(67,1),(72,1),(73,1),(75,1),(95,1),(97,1),(100,1),(102,1),(131,1)}
        53:{1,4,7}:{(34,1),(36,1),(40,1),(64,1),(68,1)}
        54:{2,4,7}:{(35,1),(36,1),(41,1),(65,1),(69,1)}
        55:{5,7}:{(37,1),(71,1)}
        56:{3}:{(38,1)}
        57:{2,3,6}:{(39,1),(42,1),(72,1),(75,1),(76,1),(105,1),(123,1)}
        58:{1,2,7}:{(39,1),(40,1),(41,1),(76,1),(128,1)}
        59:{2,4}:{(42,1),(74,1),(100,1)}
        60:{3,4}:{(43,1),(78,1),(79,1),(110,1)}
        61:{1,5}:{(43,1),(44,1),(78,1)}
        62:{2,3,5}:{(43,1),(45,1),(49,1),(79,1),(80,1),(84,1),(110,1)}
        63:{1,2,6}:{(44,1),(45,1),(47,1),(80,1),(81,1),(82,1),(150,1)}
        64:{1,7}:{(44,1),(46,1)}
        65:{2,3,7}:{(45,1),(46,1),(54,1),(82,1),(89,1)}
        66:{1,3}:{(47,1),(56,1),(83,1)}
        67:{1,2,5}:{(48,1),(49,1),(52,1),(84,1),(91,1),(112,1),(142,1)}
        68:{1,5,7}:{(48,1),(50,1),(53,1),(86,1)}
        69:{2,5,7}:{(49,1),(50,1),(54,1),(87,1)}
        70:{3,6}:{(50,1),(51,1),(86,1),(87,1)}
        71:{5,6}:{(51,1),(55,1),(142,1)}
        72:{3,6}:{(52,1),(56,1),(84,1),(89,1),(110,1)}
        73:{1,2,4,7}:{(52,1),(53,1),(54,1),(58,1),(82,1),(85,1),(89,1),(92,1),(113,1),(116,1)}
        74:{3,4}:{(56,1),(59,1),(83,1),(90,1)}
        75:{2,4,6}:{(57,1),(59,1),(88,1),(91,1),(92,1),(122,1),(135,1),(150,1)}
        76:{2,3,7}:{(57,1),(58,1),(89,1),(92,1),(120,1)}
        77:{2,4,5}:{(59,1),(90,1),(91,1),(93,1),(115,1)}
        78:{1,4}:{(60,1),(61,1),(94,1)}
        79:{2,4}:{(60,1),(62,1),(100,1)}
        80:{1,2,5}:{(61,1),(62,1),(63,1),(95,1),(96,1),(144,1)}
        81:{1,3,6}:{(63,1),(66,1),(72,1),(96,1),(97,1),(98,1),(145,1)}
        82:{1,2,7}:{(63,1),(64,1),(65,1),(98,1),(153,1)}
        83:{1,4}:{(66,1),(74,1),(99,1)}
        84:{3,5}:{(67,1),(72,1),(100,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(73,1),(101,1),(102,1),(107,1),(127,1)}
        86:{1,6}:{(68,1),(70,1)}
        87:{2,6}:{(69,1),(70,1)}
        88:{3,4,6}:{(72,1),(74,1),(75,1),(97,1),(100,1),(103,1),(104,1),(105,1),(124,1),(129,1),(131,1),(133,1),(145,1)}
        89:{3,7}:{(72,1),(73,1)}
        90:{3,5}:{(74,1),(77,1),(99,1),(105,1)}
        91:{2,5}:{(75,1),(103,1)}
        92:{2,4,7}:{(75,1),(76,1),(104,1),(107,1),(153,1)}
        93:{2,4,6}:{(77,1),(105,1),(106,1),(108,1),(129,1)}
        94:{1,3}:{(78,1),(109,1),(110,1)}
        95:{1,2,4}:{(78,1),(79,1),(80,1),(109,1),(110,1),(111,1),(135,1)}
        96:{1,3,5}:{(80,1),(81,1),(84,1),(110,1),(111,1),(112,1),(136,1)}
        97:{1,4,6}:{(81,1),(83,1),(88,1),(111,1),(112,1),(113,1),(114,1),(139,1)}
        98:{1,3,7}:{(81,1),(82,1),(89,1),(113,1),(151,1)}
        99:{1,5}:{(83,1),(90,1),(114,1)}
       100:{4}:{(84,1)}
       101:{3,5,7}:{(84,1),(85,1),(89,1),(116,1),(117,1),(142,1)}
       102:{1,2,6}:{(85,1),(86,1),(87,1),(117,1),(122,1),(139,1)}
       103:{3,5}:{(88,1),(91,1),(112,1),(115,1),(142,1)}
       104:{3,4,7}:{(88,1),(89,1),(92,1),(113,1),(116,1),(119,1),(120,1),(140,1),(151,1)}
       105:{3,6}:{(90,1),(93,1),(114,1),(120,1)}
       106:{2,5,6}:{(91,1),(93,1),(118,1),(121,1),(122,1),(150,1)}
       107:{2,5,7}:{(91,1),(92,1),(119,1),(122,1)}
       108:{2,4,7}:{(93,1),(120,1),(121,1),(140,1)}
       109:{1,2}:{(94,1),(123,1)}
       110:{3}:{(95,1)}
       111:{1,4}:{(96,1),(100,1),(124,1)}
       112:{1,5}:{(97,1),(103,1)}
       113:{1,4,7}:{(97,1),(98,1),(104,1),(127,1),(128,1)}
       114:{1,6}:{(99,1),(105,1),(128,1)}
       115:{4,5}:{(100,1),(103,1),(129,1)}
       116:{4,7}:{(100,1),(101,1),(131,1)}
       117:{3,6}:{(101,1),(102,1),(131,1)}
       118:{3,5,6}:{(103,1),(105,1),(106,1),(126,1),(129,1),(132,1),(133,1),(145,1),(149,1)}
       119:{3,5,7}:{(103,1),(104,1),(107,1),(127,1),(130,1),(133,1)}
       120:{3,7}:{(105,1),(108,1),(128,1)}
       121:{2,5,7}:{(106,1),(108,1),(132,1),(134,1),(153,1)}
       122:{2,6}:{(107,1),(133,1)}
       123:{2,3}:{(109,1),(110,1),(135,1)}
       124:{3,4}:{(110,1),(111,1),(135,1),(136,1)}
       125:{1,4,5}:{(111,1),(112,1),(115,1),(136,1),(137,1)}
       126:{1,5,6}:{(112,1),(114,1),(118,1),(137,1),(138,1),(139,1)}
       127:{1,5,7}:{(112,1),(113,1),(119,1),(139,1)}
       128:{1,7}:{(114,1),(120,1)}
       129:{4,6}:{(115,1),(118,1),(140,1)}
       130:{4,5,7}:{(115,1),(116,1),(119,1),(140,1),(141,1),(142,1),(152,1)}
       131:{4,6}:{(116,1),(117,1),(142,1)}
       132:{3,5,7}:{(118,1),(120,1),(121,1),(138,1),(140,1),(143,1),(151,1),(152,1)}
       133:{3,6}:{(119,1),(122,1),(139,1),(141,1)}
       134:{2,6,7}:{(121,1),(122,1),(143,1)}
       135:{2,4}:{(123,1),(124,1),(144,1)}
       136:{3,5}:{(124,1),(125,1),(144,1),(145,1)}
       137:{1,4,6}:{(125,1),(126,1),(129,1),(145,1),(146,1)}
       138:{1,5,7}:{(126,1),(128,1),(132,1),(146,1),(147,1)}
       139:{1,6}:{(127,1),(133,1)}
       140:{4,7}:{(129,1),(132,1)}
       141:{4,6}:{(130,1),(133,1),(149,1)}
       142:{5}:{(131,1)}
       143:{3,6,7}:{(132,1),(133,1),(134,1),(147,1),(148,1)}
       144:{2,5}:{(135,1),(136,1),(150,1)}
       145:{3,6}:{(136,1),(137,1),(150,1),(151,1)}
       146:{1,4,7}:{(137,1),(138,1),(140,1),(151,1)}
       147:{1,6,7}:{(138,1),(139,1),(143,1)}
       148:{4,6,7}:{(140,1),(141,1),(143,1),(152,1)}
       149:{5,6}:{(141,1),(142,1),(152,1)}
       150:{2,6}:{(144,1),(145,1),(153,1)}
       151:{3,7}:{(145,1),(146,1),(153,1)}
       152:{5,7}:{(148,1),(149,1)}
       153:{2,7}:{(150,1),(151,1)}

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

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

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

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

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

 243 :  0:{3,4,5}:{(1,1),(2,1),(3,1),(18,1),(70,1)}
        1:{1,4,5}:{(0,1),(5,1),(8,1)}
        2:{2,4,5}:{(0,1),(6,1),(9,1)}
        3:{3,4,6}:{(0,1),(8,1),(9,1),(10,1),(11,1),(35,1),(62,1)}
        4:{2,3,4}:{(6,1),(12,1),(34,1)}
        5:{1,3,5}:{(1,1),(13,1),(14,1),(15,1),(18,1)}
        6:{2,3,5}:{(2,1),(4,1),(16,1),(17,1),(18,1)}
        7:{1,2,4,5}:{(1,1),(2,1),(14,1),(16,1),(18,1),(19,1),(43,1),(46,1),(66,1),(68,1),(70,1)}
        8:{1,4,6}:{(1,1),(3,1),(15,1),(20,1),(21,1)}
        9:{2,4,6}:{(2,1),(3,1),(17,1),(22,1),(23,1)}
       10:{3,5,6}:{(3,1),(20,1),(22,1),(24,1),(25,1)}
       11:{3,4,7}:{(3,1),(21,1),(23,1),(25,1),(51,1),(72,1)}
       12:{1,2,4}:{(4,1),(16,1),(26,1),(46,1)}
       13:{1,3,4}:{(5,1),(27,1),(34,1)}
       14:{1,2,5}:{(5,1),(27,1),(28,1),(29,1)}
       15:{1,3,6}:{(5,1),(8,1),(29,1),(30,1),(35,1)}
       16:{1,2,5}:{(6,1),(12,1),(31,1),(32,1)}
       17:{2,3,6}:{(6,1),(9,1),(32,1),(33,1),(35,1)}
       18:{3,5}:{(7,1),(34,1),(35,1)}
       19:{1,2,4,6}:{(7,1),(8,1),(9,1),(29,1),(32,1),(35,1),(36,1),(37,1),(56,1),(58,1),(62,1)}
       20:{1,5,6}:{(8,1),(10,1),(38,1)}
       21:{1,4,7}:{(8,1),(11,1),(30,1),(38,1)}
       22:{2,5,6}:{(9,1),(10,1),(39,1)}
       23:{2,4,7}:{(9,1),(11,1),(33,1),(39,1)}
       24:{4,5,6}:{(10,1),(40,1),(62,1),(83,1)}
       25:{3,5,7}:{(10,1),(11,1),(38,1),(39,1),(40,1),(41,1)}
       26:{1,3}:{(12,1)}
       27:{1,2,4}:{(13,1),(14,1),(42,1),(43,1)}
       28:{2,3,5}:{(14,1),(18,1),(42,1),(43,1),(44,1),(66,1)}
       29:{1,2,6}:{(14,1),(15,1),(44,1),(45,1)}
       30:{1,3,7}:{(15,1),(21,1),(45,1),(51,1)}
       31:{1,3,5}:{(16,1),(18,1),(26,1),(46,1),(47,1),(68,1)}
       32:{1,2,6}:{(16,1),(17,1),(47,1),(48,1)}
       33:{2,3,7}:{(17,1),(23,1),(48,1),(51,1)}
       34:{3,4}:{(18,1),(43,1),(46,1)}
       35:{3,6}:{(18,1),(19,1),(51,1)}
       36:{1,2,5,6}:{(19,1),(20,1),(22,1),(50,1),(52,1),(66,1),(68,1),(79,1),(80,1)}
       37:{1,2,4,7}:{(19,1),(21,1),(23,1),(45,1),(48,1),(51,1),(52,1),(67,1),(69,1),(72,1)}
       38:{1,5,7}:{(20,1),(21,1),(25,1),(53,1)}
       39:{2,5,7}:{(22,1),(23,1),(25,1),(54,1)}
       40:{4,5,7}:{(24,1),(25,1),(55,1),(72,1),(82,1)}
       41:{3,6,7}:{(25,1),(53,1),(54,1),(55,1)}
       42:{2,3}:{(27,1)}
       43:{2,4}:{(28,1),(34,1)}
       44:{2,3,6}:{(28,1),(29,1),(35,1),(56,1),(57,1)}
       45:{1,2,7}:{(29,1),(30,1),(57,1)}
       46:{1,4}:{(31,1),(34,1)}
       47:{1,3,6}:{(31,1),(32,1),(35,1),(58,1),(59,1)}
       48:{1,2,7}:{(32,1),(33,1),(59,1)}
       49:{3,4,6}:{(34,1),(35,1),(56,1),(58,1),(60,1),(61,1),(62,1),(77,1)}
       50:{3,5,6}:{(35,1),(36,1),(60,1),(62,1),(63,1),(77,1),(83,1)}
       51:{3,7}:{(35,1),(37,1)}
       52:{1,2,5,7}:{(36,1),(37,1),(38,1),(39,1),(63,1),(64,1),(74,1),(75,1)}
       53:{1,6,7}:{(38,1),(41,1)}
       54:{2,6,7}:{(39,1),(41,1)}
       55:{4,6,7}:{(40,1),(41,1),(65,1)}
       56:{2,4,6}:{(43,1),(44,1),(49,1),(66,1),(67,1),(79,1)}
       57:{2,3,7}:{(44,1),(45,1),(51,1),(67,1)}
       58:{1,4,6}:{(46,1),(47,1),(49,1),(68,1),(69,1),(80,1)}
       59:{1,3,7}:{(47,1),(48,1),(51,1),(69,1)}
       60:{3,5}:{(49,1),(66,1),(68,1),(70,1)}
       61:{3,4,7}:{(49,1),(51,1),(67,1),(69,1),(71,1),(72,1)}
       62:{4,6}:{(50,1),(70,1),(72,1)}
       63:{3,5,7}:{(50,1),(51,1),(52,1),(72,1),(73,1),(82,1)}
       64:{1,2,6,7}:{(52,1),(53,1),(54,1),(73,1),(79,1),(80,1)}
       65:{5,6,7}:{(55,1),(82,1)}
       66:{2,5}:{(56,1),(60,1)}
       67:{2,4,7}:{(56,1),(57,1),(61,1),(74,1)}
       68:{1,5}:{(58,1),(60,1)}
       69:{1,4,7}:{(58,1),(59,1),(61,1),(75,1)}
       70:{4,5}:{(60,1),(62,1)}
       71:{3,5,7}:{(60,1),(61,1),(74,1),(75,1),(76,1),(77,1)}
       72:{4,7}:{(62,1),(63,1)}
       73:{3,6,7}:{(63,1),(64,1),(77,1),(78,1)}
       74:{2,5,7}:{(66,1),(67,1),(71,1),(79,1)}
       75:{1,5,7}:{(68,1),(69,1),(71,1),(80,1)}
       76:{4,5,7}:{(70,1),(71,1),(72,1),(81,1),(82,1)}
       77:{3,6}:{(71,1),(79,1),(80,1),(81,1)}
       78:{4,6,7}:{(72,1),(73,1),(81,1),(82,1)}
       79:{2,6}:{(74,1),(77,1)}
       80:{1,6}:{(75,1),(77,1)}
       81:{4,6}:{(76,1),(77,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 244 :   0:{3,4,6,7}:{(2,1),(3,1),(4,1),(19,1),(25,1),(31,1),(57,1),(60,1),(63,1),(65,1),(116,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(19,1),(65,1),(111,1),(120,1)}
         2:{1,4,6,7}:{(0,1),(7,1),(9,1),(35,1),(40,1),(51,1),(93,1),(141,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(16,1),(42,1),(84,1),(92,1),(142,1)}
         4:{3,5,7}:{(0,1),(9,1),(10,1),(11,1),(12,1),(140,1)}
         5:{1,2,6,7}:{(1,1),(13,1),(14,1),(93,1),(138,1),(144,1),(145,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(14,1),(15,1),(16,1),(37,1),(43,1),(48,1)}
         7:{1,3,6,7}:{(2,1),(17,1),(18,1),(19,1),(63,1),(73,1),(119,1)}
         8:{1,2,4,6,7}:{(2,1),(3,1),(5,1),(17,1),(19,1),(20,1),(26,1),(29,1),(52,1),(55,1),(60,1),(61,1),(160,1)}
         9:{1,5,7}:{(2,1),(4,1),(21,1),(158,1)}
        10:{2,5,7}:{(3,1),(4,1),(23,1),(159,1)}
        11:{3,5,6}:{(4,1),(21,1),(23,1),(25,1),(63,1),(65,1)}
        12:{4,5,7}:{(4,1),(25,1),(60,1),(115,1)}
        13:{1,3,6,7}:{(5,1),(19,1),(26,1),(27,1),(110,1),(119,1),(122,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(27,1),(28,1),(29,1),(66,1),(123,1)}
        15:{2,3,5,6}:{(6,1),(23,1),(28,1),(30,1),(59,1),(65,1),(72,1),(75,1),(120,1),(128,1),(159,1),(172,1)}
        16:{2,4,7}:{(6,1),(30,1),(31,1),(60,1)}
        17:{1,2,6,7}:{(7,1),(32,1),(33,1),(92,1),(102,1),(144,1),(163,1)}
        18:{1,3,5,7}:{(7,1),(9,1),(33,1),(34,1),(35,1),(37,1),(41,1),(81,1)}
        19:{3,6,7}:{(8,1),(37,1),(48,1),(81,1),(89,1),(169,1)}
        20:{1,2,5,7}:{(8,1),(9,1),(10,1),(37,1),(38,1),(44,1),(77,1),(168,1)}
        21:{1,5,6}:{(9,1),(11,1),(40,1),(93,1)}
        22:{1,4,5,7}:{(9,1),(12,1),(35,1),(40,1),(41,1),(82,1)}
        23:{2,5,6}:{(10,1),(11,1),(42,1),(92,1)}
        24:{2,4,5,7}:{(10,1),(12,1),(16,1),(42,1),(43,1),(49,1)}
        25:{4,6}:{(11,1),(12,1)}
        26:{1,4,6,7}:{(13,1),(36,1),(44,1),(46,1),(94,1),(134,1),(141,1),(163,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(37,1),(44,1),(45,1),(46,1),(48,1),(95,1)}
        28:{1,2,5,6}:{(14,1),(15,1),(45,1),(47,1),(93,1),(103,1),(144,1),(145,1),(146,1),(149,1),(168,1)}
        29:{1,2,4,7}:{(14,1),(16,1),(46,1),(47,1),(48,1),(51,1),(98,1),(102,1)}
        30:{2,4,6}:{(15,1),(16,1),(49,1),(50,1),(87,1),(148,1),(174,1)}
        31:{3,4,7}:{(16,1),(43,1),(48,1),(50,1),(51,1)}
        32:{2,3,6,7}:{(17,1),(19,1),(52,1),(53,1),(74,1),(120,1),(150,1)}
        33:{1,2,5,7}:{(17,1),(18,1),(53,1),(54,1),(55,1),(64,1),(151,1)}
        34:{1,3,5,6}:{(18,1),(21,1),(54,1),(56,1),(59,1),(63,1),(109,1),(112,1),(119,1),(155,1),(158,1),(172,1)}
        35:{1,4,7}:{(18,1),(56,1),(57,1),(60,1)}
        36:{3,4,6,7}:{(19,1),(26,1),(52,1),(58,1),(60,1),(70,1),(107,1),(114,1),(116,1),(122,1),(150,1)}
        37:{3,5,7}:{(19,1),(20,1),(59,1),(60,1),(172,1)}
        38:{1,2,5,6}:{(20,1),(21,1),(23,1),(59,1),(61,1),(67,1),(104,1),(158,1),(159,1)}
        39:{1,2,4,5,7}:{(20,1),(22,1),(24,1),(29,1),(55,1),(60,1),(61,1),(62,1),(64,1),(66,1),(68,1),(71,1),(105,1),(108,1),(115,1),(117,1),(118,1),(121,1),(123,1),(151,1),(158,1),(159,1)}
        40:{1,4,6}:{(21,1),(22,1),(25,1),(63,1)}
        41:{3,5,7}:{(22,1),(57,1),(63,1),(64,1),(112,1)}
        42:{2,4,6}:{(23,1),(24,1),(25,1),(65,1)}
        43:{3,5,7}:{(24,1),(31,1),(65,1),(66,1),(75,1)}
        44:{1,5,7}:{(26,1),(58,1),(67,1),(158,1)}
        45:{1,3,5,6}:{(27,1),(28,1),(59,1),(67,1),(69,1),(72,1),(119,1),(122,1),(124,1),(127,1),(158,1),(172,1)}
        46:{1,4,7}:{(27,1),(60,1),(69,1),(70,1)}
        47:{1,2,4,6}:{(28,1),(29,1),(30,1),(69,1),(71,1),(72,1),(76,1),(125,1),(129,1),(162,1)}
        48:{3,7}:{(29,1),(72,1)}
        49:{2,4,5}:{(30,1),(75,1),(115,1),(159,1)}
        50:{3,4,6}:{(30,1),(31,1),(65,1),(72,1),(75,1),(76,1),(126,1)}
        51:{1,4,7}:{(31,1),(66,1),(73,1),(76,1)}
        52:{2,4,6,7}:{(32,1),(36,1),(77,1),(79,1),(98,1),(130,1),(142,1),(145,1)}
        53:{2,3,5,7}:{(32,1),(33,1),(37,1),(77,1),(78,1),(79,1),(81,1),(131,1)}
        54:{1,2,5,6}:{(33,1),(34,1),(78,1),(80,1),(92,1),(139,1),(144,1),(163,1),(164,1),(167,1),(168,1)}
        55:{1,2,4,7}:{(33,1),(35,1),(79,1),(80,1),(81,1),(84,1),(134,1),(138,1)}
        56:{1,4,6}:{(34,1),(35,1),(82,1),(83,1),(87,1),(165,1),(174,1)}
        57:{3,4,7}:{(35,1),(41,1),(81,1),(83,1),(84,1)}
        58:{3,5,7}:{(36,1),(44,1),(77,1),(85,1),(86,1),(140,1)}
        59:{3,5,6}:{(37,1),(38,1),(87,1),(89,1),(140,1)}
        60:{4,7}:{(37,1),(87,1),(174,1)}
        61:{1,2,4,6}:{(38,1),(39,1),(40,1),(42,1),(87,1),(89,1),(92,1),(93,1),(94,1),(130,1),(141,1),(142,1),(144,1),(145,1),(163,1)}
        62:{3,5,7}:{(39,1),(48,1),(81,1),(88,1),(89,1),(99,1),(135,1),(140,1)}
        63:{3,6}:{(40,1),(41,1),(92,1)}
        64:{2,5,7}:{(41,1),(84,1),(92,1),(139,1)}
        65:{3,6}:{(42,1),(43,1),(93,1)}
        66:{1,5,7}:{(43,1),(51,1),(93,1),(103,1)}
        67:{1,5,6}:{(44,1),(85,1),(94,1),(163,1)}
        68:{1,4,5,7}:{(44,1),(46,1),(86,1),(94,1),(95,1),(96,1)}
        69:{1,4,6}:{(45,1),(46,1),(87,1),(96,1),(97,1),(147,1),(174,1)}
        70:{3,4,7}:{(46,1),(48,1),(95,1),(97,1),(98,1)}
        71:{1,2,4,5}:{(47,1),(49,1),(96,1),(99,1),(103,1),(146,1),(147,1),(148,1),(149,1),(168,1),(174,1)}
        72:{3,6}:{(47,1),(48,1),(99,1),(170,1)}
        73:{1,3,7}:{(48,1),(51,1),(100,1),(102,1)}
        74:{2,3,7}:{(48,1),(98,1),(101,1),(102,1)}
        75:{3,5}:{(49,1),(50,1),(103,1)}
        76:{1,4,6}:{(50,1),(51,1),(93,1),(100,1),(103,1),(147,1)}
        77:{2,5,7}:{(52,1),(58,1),(104,1),(159,1)}
        78:{2,3,5,6}:{(53,1),(54,1),(59,1),(104,1),(106,1),(109,1),(120,1),(150,1),(152,1),(156,1),(159,1),(172,1)}
        79:{2,4,7}:{(53,1),(60,1),(106,1),(107,1)}
        80:{1,2,4,6}:{(54,1),(55,1),(56,1),(106,1),(108,1),(109,1),(113,1),(153,1),(157,1),(171,1)}
        81:{3,7}:{(55,1),(109,1)}
        82:{1,4,5}:{(56,1),(112,1),(115,1),(158,1)}
        83:{3,4,6}:{(56,1),(57,1),(63,1),(109,1),(112,1),(113,1),(154,1)}
        84:{2,4,7}:{(57,1),(64,1),(111,1),(113,1)}
        85:{3,5,6}:{(58,1),(67,1),(104,1),(114,1),(122,1),(150,1)}
        86:{4,5,7}:{(58,1),(60,1),(114,1),(115,1)}
        87:{4,6}:{(59,1),(60,1),(115,1)}
        88:{3,4,7}:{(60,1),(62,1),(116,1),(117,1),(118,1),(126,1),(154,1),(161,1)}
        89:{3,6}:{(61,1),(62,1)}
        90:{1,3,5,7}:{(62,1),(66,1),(73,1),(110,1),(117,1),(119,1),(121,1),(127,1),(151,1),(155,1),(158,1),(161,1),(172,1)}
        91:{2,3,5,7}:{(62,1),(64,1),(74,1),(111,1),(118,1),(120,1),(121,1),(123,1),(128,1),(156,1),(159,1),(161,1),(172,1)}
        92:{2,6}:{(63,1),(64,1)}
        93:{1,6}:{(65,1),(66,1)}
        94:{1,4,6}:{(67,1),(68,1),(114,1),(122,1)}
        95:{3,5,7}:{(68,1),(70,1),(122,1),(123,1),(124,1)}
        96:{1,4,5}:{(69,1),(115,1),(124,1),(158,1)}
        97:{3,4,6}:{(69,1),(70,1),(72,1),(122,1),(124,1),(125,1),(126,1)}
        98:{2,4,7}:{(70,1),(74,1),(123,1),(125,1)}
        99:{3,5}:{(71,1),(72,1),(126,1)}
       100:{1,3,6}:{(72,1),(73,1),(76,1),(127,1),(129,1)}
       101:{2,3,6}:{(72,1),(74,1),(125,1),(128,1),(129,1)}
       102:{1,2,7}:{(73,1),(74,1),(129,1)}
       103:{1,5}:{(75,1),(76,1)}
       104:{2,5,6}:{(77,1),(85,1),(130,1),(145,1)}
       105:{2,4,5,7}:{(77,1),(79,1),(86,1),(130,1),(131,1),(132,1)}
       106:{2,4,6}:{(78,1),(79,1),(87,1),(132,1),(133,1),(166,1),(174,1)}
       107:{3,4,7}:{(79,1),(81,1),(131,1),(133,1),(134,1)}
       108:{1,2,4,5}:{(80,1),(82,1),(132,1),(135,1),(139,1),(164,1),(165,1),(166,1),(167,1),(168,1),(174,1)}
       109:{3,6}:{(80,1),(81,1),(135,1),(173,1)}
       110:{1,3,7}:{(81,1),(134,1),(136,1),(138,1)}
       111:{2,3,7}:{(81,1),(84,1),(137,1),(138,1)}
       112:{3,5}:{(82,1),(83,1),(139,1)}
       113:{2,4,6}:{(83,1),(84,1),(92,1),(137,1),(139,1),(166,1)}
       114:{4,6}:{(85,1),(86,1)}
       115:{4,5}:{(87,1),(140,1),(174,1)}
       116:{3,4,6}:{(87,1),(88,1),(89,1),(140,1),(141,1),(142,1),(169,1),(174,1)}
       117:{1,4,7}:{(88,1),(90,1),(141,1),(147,1),(165,1),(174,1)}
       118:{2,4,7}:{(88,1),(91,1),(142,1),(148,1),(166,1),(174,1)}
       119:{1,3,6}:{(89,1),(90,1),(93,1),(141,1),(144,1),(163,1),(169,1)}
       120:{2,3,6}:{(89,1),(91,1),(92,1),(142,1),(144,1),(145,1),(169,1)}
       121:{1,2,5,7}:{(90,1),(91,1),(102,1),(138,1),(143,1),(144,1),(149,1),(167,1),(168,1)}
       122:{3,6}:{(94,1),(95,1),(145,1)}
       123:{2,5,7}:{(95,1),(98,1),(145,1),(146,1)}
       124:{3,5}:{(96,1),(97,1),(146,1)}
       125:{2,4,6}:{(97,1),(98,1),(101,1),(145,1),(146,1),(148,1)}
       126:{3,4}:{(99,1),(147,1),(148,1),(170,1),(174,1)}
       127:{1,3,5}:{(99,1),(100,1),(103,1),(147,1),(149,1),(170,1)}
       128:{2,3,5}:{(99,1),(101,1),(146,1),(148,1),(149,1),(170,1)}
       129:{1,2,6}:{(100,1),(101,1),(102,1),(149,1)}
       130:{2,4,6}:{(104,1),(105,1),(114,1),(150,1)}
       131:{3,5,7}:{(105,1),(107,1),(150,1),(151,1),(152,1)}
       132:{2,4,5}:{(106,1),(115,1),(152,1),(159,1)}
       133:{3,4,6}:{(106,1),(107,1),(109,1),(150,1),(152,1),(153,1),(154,1)}
       134:{1,4,7}:{(107,1),(110,1),(151,1),(153,1)}
       135:{3,5}:{(108,1),(109,1),(154,1)}
       136:{1,3,6}:{(109,1),(110,1),(153,1),(155,1),(157,1)}
       137:{2,3,6}:{(109,1),(111,1),(113,1),(156,1),(157,1)}
       138:{1,2,7}:{(110,1),(111,1),(157,1)}
       139:{2,5}:{(112,1),(113,1)}
       140:{3,5}:{(115,1),(116,1),(158,1),(159,1)}
       141:{1,4,6}:{(116,1),(117,1),(119,1),(158,1)}
       142:{2,4,6}:{(116,1),(118,1),(120,1),(159,1)}
       143:{1,2,4,7}:{(117,1),(118,1),(121,1),(160,1),(161,1),(162,1),(171,1)}
       144:{1,2,6}:{(119,1),(120,1),(121,1)}
       145:{2,6}:{(122,1),(123,1)}
       146:{2,5}:{(124,1),(125,1)}
       147:{1,4}:{(126,1),(127,1)}
       148:{2,4}:{(126,1),(128,1)}
       149:{1,2,5}:{(127,1),(128,1),(129,1),(162,1)}
       150:{3,6}:{(130,1),(131,1),(163,1)}
       151:{1,5,7}:{(131,1),(134,1),(163,1),(164,1)}
       152:{3,5}:{(132,1),(133,1),(164,1)}
       153:{1,4,6}:{(133,1),(134,1),(136,1),(163,1),(164,1),(165,1)}
       154:{3,4}:{(135,1),(165,1),(166,1),(173,1),(174,1)}
       155:{1,3,5}:{(135,1),(136,1),(164,1),(165,1),(167,1),(173,1)}
       156:{2,3,5}:{(135,1),(137,1),(139,1),(166,1),(167,1),(173,1)}
       157:{1,2,6}:{(136,1),(137,1),(138,1),(167,1)}
       158:{1,5}:{(140,1),(141,1)}
       159:{2,5}:{(140,1),(142,1)}
       160:{1,2,4,6}:{(141,1),(142,1),(143,1),(144,1),(168,1),(169,1),(174,1)}
       161:{3,7}:{(143,1),(169,1),(170,1),(173,1)}
       162:{1,2,4}:{(147,1),(148,1),(149,1),(170,1)}
       163:{1,6}:{(150,1),(151,1)}
       164:{1,5}:{(152,1),(153,1)}
       165:{1,4}:{(154,1),(155,1)}
       166:{2,4}:{(154,1),(156,1)}
       167:{1,2,5}:{(155,1),(156,1),(157,1),(171,1)}
       168:{1,2,5}:{(158,1),(159,1),(160,1),(172,1)}
       169:{3,6}:{(160,1),(161,1),(172,1)}
       170:{3}:{(162,1)}
       171:{1,2,4}:{(165,1),(166,1),(167,1),(173,1)}
       172:{3,5}:{(168,1),(169,1),(174,1)}
       173:{3}:{(171,1)}
       174:{4}:{(172,1)}

 245 :  0:{6,7}:{(5,1),(53,1)}
        1:{5,6}:{(5,1),(6,1),(46,1),(53,1)}
        2:{4,5}:{(6,1),(7,1),(35,1),(46,1)}
        3:{3,4}:{(7,1),(8,1),(9,1),(23,1),(35,1)}
        4:{2,3}:{(9,1),(10,1),(23,1)}
        5:{5,7}:{(0,1),(1,1),(12,1)}
        6:{4,6}:{(1,1),(2,1),(12,1),(13,1)}
        7:{3,5}:{(2,1),(3,1),(13,1),(14,1),(15,1)}
        8:{1,4}:{(3,1),(11,1),(14,1)}
        9:{2,4}:{(3,1),(4,1),(15,1)}
       10:{1,2}:{(4,1),(17,1)}
       11:{1,3}:{(8,1),(18,1),(23,1)}
       12:{4,7}:{(5,1),(6,1),(19,1)}
       13:{3,6}:{(6,1),(7,1),(19,1),(20,1),(21,1)}
       14:{1,5}:{(7,1),(8,1),(20,1)}
       15:{2,5}:{(7,1),(9,1),(21,1)}
       16:{1,2,4}:{(8,1),(9,1),(10,1),(18,1),(22,1),(23,1),(24,1),(32,1),(35,1)}
       17:{1,3}:{(10,1),(23,1),(24,1)}
       18:{1,2}:{(11,1),(25,1)}
       19:{3,7}:{(12,1),(13,1),(26,1),(27,1)}
       20:{1,6}:{(13,1),(14,1),(26,1)}
       21:{2,6}:{(13,1),(15,1),(27,1)}
       22:{1,2,5}:{(14,1),(15,1),(16,1),(28,1),(29,1),(31,1),(38,1)}
       23:{3}:{(16,1)}
       24:{1,4}:{(17,1),(30,1),(31,1)}
       25:{2,3}:{(18,1),(23,1),(32,1)}
       26:{1,7}:{(19,1),(20,1)}
       27:{2,7}:{(19,1),(21,1)}
       28:{1,2,6}:{(20,1),(21,1),(22,1),(33,1),(34,1),(37,1),(44,1)}
       29:{3,5}:{(22,1),(23,1),(34,1),(35,1),(46,1)}
       30:{3,4}:{(23,1),(24,1),(32,1),(35,1),(36,1)}
       31:{1,5}:{(24,1),(36,1),(37,1)}
       32:{2,4}:{(25,1),(30,1),(38,1)}
       33:{1,2,7}:{(26,1),(27,1),(28,1),(39,1),(43,1),(49,1)}
       34:{3,6}:{(28,1),(29,1),(39,1),(40,1)}
       35:{4}:{(29,1)}
       36:{3,5}:{(30,1),(31,1),(38,1),(41,1),(42,1)}
       37:{1,6}:{(31,1),(42,1),(43,1)}
       38:{2,5}:{(32,1),(36,1),(44,1)}
       39:{3,7}:{(33,1),(34,1),(45,1)}
       40:{4,6}:{(34,1),(35,1),(45,1),(46,1),(53,1)}
       41:{4,5}:{(35,1),(36,1),(46,1),(47,1)}
       42:{3,6}:{(36,1),(37,1),(44,1),(47,1),(48,1)}
       43:{1,7}:{(37,1),(48,1)}
       44:{2,6}:{(38,1),(42,1),(49,1)}
       45:{4,7}:{(39,1),(40,1),(50,1)}
       46:{5}:{(40,1)}
       47:{4,6}:{(41,1),(42,1),(51,1),(52,1)}
       48:{3,7}:{(42,1),(43,1),(49,1),(52,1)}
       49:{2,7}:{(44,1),(48,1)}
       50:{5,7}:{(45,1),(46,1),(53,1)}
       51:{5,6}:{(46,1),(47,1),(53,1),(54,1)}
       52:{4,7}:{(47,1),(48,1),(54,1)}
       53:{6}:{(50,1)}
       54:{5,7}:{(51,1),(52,1),(55,1)}
       55:{6,7}:{(53,1),(54,1)}

 246 :   0:{4,5,7}:{(3,1),(4,1),(26,1),(35,1),(67,1),(68,1),(112,1)}
         1:{3,4,7}:{(3,1),(5,1),(6,1),(7,1),(31,1),(67,1),(68,1),(109,1),(110,1)}
         2:{2,3,7}:{(6,1),(8,1),(9,1),(31,1),(110,1)}
         3:{3,5,7}:{(0,1),(1,1),(12,1),(13,1),(14,1),(19,1)}
         4:{4,6}:{(0,1),(14,1),(15,1)}
         5:{1,4,7}:{(1,1),(10,1),(12,1),(17,1),(130,1)}
         6:{2,4,7}:{(1,1),(2,1),(13,1),(18,1),(129,1)}
         7:{3,4,6}:{(1,1),(14,1),(17,1),(18,1),(19,1),(50,1),(52,1),(60,1),(86,1),(90,1),(91,1),(92,1),(95,1)}
         8:{1,2,7}:{(2,1),(20,1),(21,1),(130,1),(150,1)}
         9:{2,3,6}:{(2,1),(18,1),(21,1),(22,1),(52,1),(92,1),(128,1)}
        10:{1,3,7}:{(5,1),(23,1),(24,1),(31,1),(109,1)}
        11:{4,6,7}:{(4,1),(25,1),(26,1),(67,1)}
        12:{1,5,7}:{(3,1),(5,1),(28,1),(33,1)}
        13:{2,5,7}:{(3,1),(6,1),(29,1),(34,1)}
        14:{3,6}:{(3,1),(4,1),(28,1),(29,1)}
        15:{5,6}:{(4,1),(26,1),(112,1)}
        16:{1,2,4,7}:{(5,1),(6,1),(8,1),(23,1),(27,1),(31,1),(32,1),(36,1),(61,1),(68,1)}
        17:{1,4,6}:{(5,1),(7,1),(24,1),(28,1),(33,1),(64,1),(81,1),(114,1)}
        18:{2,4,6}:{(6,1),(7,1),(9,1),(29,1),(34,1),(39,1),(108,1),(113,1)}
        19:{3,5}:{(7,1),(33,1),(34,1),(35,1),(112,1)}
        20:{1,3,7}:{(8,1),(31,1),(36,1),(37,1),(145,1)}
        21:{1,2,6}:{(8,1),(9,1),(37,1),(38,1),(114,1),(142,1),(146,1)}
        22:{2,3,5}:{(9,1),(34,1),(38,1),(39,1),(74,1),(76,1),(80,1)}
        23:{1,2,7}:{(10,1),(40,1),(41,1),(129,1),(153,1)}
        24:{1,3,6}:{(10,1),(17,1),(41,1),(42,1),(52,1),(91,1),(102,1)}
        25:{3,6,7}:{(11,1),(14,1),(43,1),(44,1),(45,1)}
        26:{5,7}:{(11,1),(15,1)}
        27:{1,2,5,7}:{(12,1),(13,1),(16,1),(46,1),(47,1),(53,1),(56,1),(82,1)}
        28:{1,6}:{(12,1),(14,1)}
        29:{2,6}:{(13,1),(14,1)}
        30:{3,5,6}:{(14,1),(15,1),(19,1),(45,1),(48,1),(49,1),(50,1),(91,1),(92,1)}
        31:{3,7}:{(16,1),(52,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(18,1),(21,1),(41,1),(47,1),(52,1),(53,1),(57,1),(59,1),(83,1),(85,1),(90,1),(95,1)}
        33:{1,5}:{(17,1),(19,1)}
        34:{2,5}:{(18,1),(19,1)}
        35:{4,5}:{(19,1),(50,1),(95,1)}
        36:{1,4,7}:{(20,1),(51,1),(56,1),(57,1),(153,1)}
        37:{1,3,6}:{(20,1),(21,1),(52,1),(57,1),(58,1),(127,1),(136,1)}
        38:{1,2,5}:{(21,1),(22,1),(58,1),(59,1),(97,1),(137,1)}
        39:{2,4}:{(22,1),(60,1),(95,1)}
        40:{2,3,7}:{(23,1),(31,1),(61,1),(62,1),(151,1)}
        41:{1,2,6}:{(23,1),(24,1),(62,1),(63,1),(113,1),(122,1),(152,1)}
        42:{1,3,5}:{(24,1),(33,1),(63,1),(64,1),(74,1),(75,1),(107,1)}
        43:{1,6,7}:{(25,1),(28,1),(65,1)}
        44:{2,6,7}:{(25,1),(29,1),(66,1)}
        45:{3,5,7}:{(25,1),(26,1),(30,1),(65,1),(66,1),(67,1),(109,1),(110,1)}
        46:{3,5,7}:{(27,1),(31,1),(68,1),(69,1),(74,1),(112,1)}
        47:{1,2,6}:{(27,1),(28,1),(29,1),(69,1),(77,1),(104,1)}
        48:{1,5,6}:{(28,1),(30,1),(33,1),(65,1),(70,1),(114,1)}
        49:{2,5,6}:{(29,1),(30,1),(34,1),(66,1),(71,1),(113,1)}
        50:{4,6}:{(30,1),(35,1),(67,1)}
        51:{3,4,7}:{(31,1),(36,1),(61,1),(68,1),(72,1),(73,1),(144,1),(145,1),(151,1)}
        52:{3,6}:{(31,1),(32,1),(74,1),(80,1),(107,1)}
        53:{1,2,5}:{(32,1),(33,1),(34,1),(74,1),(78,1),(105,1),(112,1)}
        54:{1,4,5}:{(33,1),(35,1),(64,1),(70,1),(75,1)}
        55:{2,4,5}:{(34,1),(35,1),(39,1),(71,1),(76,1)}
        56:{1,5,7}:{(36,1),(72,1),(77,1),(78,1)}
        57:{1,4,6}:{(36,1),(37,1),(73,1),(77,1),(78,1),(79,1),(141,1),(152,1)}
        58:{1,3,5}:{(37,1),(38,1),(74,1),(78,1),(79,1),(80,1),(120,1)}
        59:{1,2,4}:{(38,1),(39,1),(79,1),(80,1),(81,1),(121,1),(122,1)}
        60:{3,4}:{(39,1),(76,1),(80,1),(81,1)}
        61:{2,4,7}:{(40,1),(51,1),(82,1),(83,1),(150,1)}
        62:{2,3,6}:{(40,1),(41,1),(52,1),(83,1),(84,1),(103,1),(148,1)}
        63:{1,2,5}:{(41,1),(42,1),(84,1),(85,1),(96,1),(149,1)}
        64:{1,4}:{(42,1),(86,1),(95,1)}
        65:{1,5,7}:{(43,1),(45,1),(48,1),(87,1),(130,1)}
        66:{2,5,7}:{(44,1),(45,1),(49,1),(88,1),(129,1)}
        67:{4,7}:{(45,1),(50,1)}
        68:{4,7}:{(46,1),(90,1),(95,1)}
        69:{3,6}:{(46,1),(47,1),(90,1)}
        70:{1,4,6}:{(48,1),(50,1),(54,1),(87,1),(91,1)}
        71:{2,4,6}:{(49,1),(50,1),(55,1),(88,1),(92,1)}
        72:{3,5,7}:{(51,1),(56,1),(82,1),(89,1),(93,1),(94,1)}
        73:{3,4,6}:{(51,1),(52,1),(57,1),(83,1),(90,1),(93,1),(94,1),(95,1),(101,1),(126,1),(134,1),(136,1),(148,1)}
        74:{3,5}:{(52,1),(53,1),(95,1)}
        75:{3,5}:{(54,1),(86,1),(91,1),(96,1)}
        76:{3,5}:{(55,1),(60,1),(92,1),(97,1)}
        77:{1,6}:{(56,1),(93,1)}
        78:{1,5}:{(57,1),(94,1)}
        79:{1,4}:{(58,1),(95,1),(101,1)}
        80:{3}:{(59,1)}
        81:{1,4}:{(60,1),(97,1),(102,1)}
        82:{2,5,7}:{(61,1),(72,1),(104,1),(105,1)}
        83:{2,4,6}:{(61,1),(62,1),(73,1),(104,1),(105,1),(106,1),(121,1),(146,1)}
        84:{2,3,5}:{(62,1),(63,1),(74,1),(105,1),(106,1),(107,1),(140,1)}
        85:{1,2,4}:{(63,1),(64,1),(106,1),(107,1),(108,1),(141,1),(142,1)}
        86:{3,4}:{(64,1),(75,1),(107,1),(108,1)}
        87:{1,4,7}:{(65,1),(67,1),(70,1),(109,1)}
        88:{2,4,7}:{(66,1),(67,1),(71,1),(110,1)}
        89:{4,5,7}:{(68,1),(72,1),(111,1),(112,1),(117,1),(143,1),(144,1)}
        90:{4,6}:{(68,1),(69,1),(112,1)}
        91:{3,6}:{(70,1),(75,1),(109,1),(113,1)}
        92:{3,6}:{(71,1),(76,1),(110,1),(114,1)}
        93:{3,6}:{(72,1),(77,1),(104,1),(111,1)}
        94:{3,5}:{(73,1),(78,1),(105,1),(112,1),(117,1)}
        95:{4}:{(74,1)}
        96:{2,5}:{(75,1),(108,1),(113,1)}
        97:{1,5}:{(76,1),(81,1),(114,1)}
        98:{1,6,7}:{(77,1),(115,1),(118,1)}
        99:{1,5,6}:{(77,1),(78,1),(116,1),(118,1),(119,1),(152,1)}
       100:{1,4,5}:{(78,1),(79,1),(117,1),(119,1),(120,1)}
       101:{3,4}:{(79,1),(80,1),(120,1),(121,1)}
       102:{1,3}:{(80,1),(81,1),(122,1)}
       103:{2,3}:{(80,1),(121,1),(122,1)}
       104:{2,6}:{(82,1),(93,1)}
       105:{2,5}:{(83,1),(94,1)}
       106:{2,4}:{(84,1),(95,1),(126,1)}
       107:{3}:{(85,1)}
       108:{2,4}:{(86,1),(96,1),(128,1)}
       109:{3,7}:{(87,1),(91,1),(129,1)}
       110:{3,7}:{(88,1),(92,1),(130,1)}
       111:{4,6}:{(89,1),(93,1),(132,1)}
       112:{5}:{(90,1)}
       113:{2,6}:{(91,1),(96,1),(129,1)}
       114:{1,6}:{(92,1),(97,1),(130,1)}
       115:{3,6,7}:{(93,1),(98,1),(123,1),(131,1),(133,1)}
       116:{3,5,6}:{(93,1),(94,1),(99,1),(124,1),(132,1),(133,1),(134,1),(136,1),(148,1)}
       117:{4,5}:{(94,1),(95,1),(134,1)}
       118:{1,5,7}:{(98,1),(99,1),(133,1),(135,1),(153,1)}
       119:{1,4,6}:{(99,1),(100,1),(134,1),(135,1),(136,1)}
       120:{3,5}:{(100,1),(101,1),(136,1),(137,1)}
       121:{2,4}:{(101,1),(103,1),(137,1)}
       122:{1,2}:{(102,1),(103,1)}
       123:{2,6,7}:{(104,1),(115,1),(138,1)}
       124:{2,5,6}:{(104,1),(105,1),(116,1),(138,1),(139,1),(146,1)}
       125:{2,4,5}:{(105,1),(106,1),(117,1),(139,1),(140,1)}
       126:{3,4}:{(106,1),(107,1),(140,1),(141,1)}
       127:{1,3}:{(107,1),(141,1),(142,1)}
       128:{2,3}:{(107,1),(108,1),(142,1)}
       129:{2,7}:{(109,1),(113,1)}
       130:{1,7}:{(110,1),(114,1)}
       131:{4,6,7}:{(111,1),(115,1),(143,1),(144,1)}
       132:{5,6}:{(111,1),(112,1),(143,1)}
       133:{3,5,7}:{(115,1),(116,1),(118,1),(138,1),(143,1),(144,1),(145,1),(151,1)}
       134:{4,6}:{(116,1),(117,1),(144,1)}
       135:{1,4,7}:{(118,1),(119,1),(144,1),(145,1)}
       136:{3,6}:{(119,1),(120,1),(145,1),(146,1)}
       137:{2,5}:{(120,1),(121,1),(146,1)}
       138:{2,5,7}:{(123,1),(124,1),(133,1),(147,1),(150,1)}
       139:{2,4,6}:{(124,1),(125,1),(134,1),(147,1),(148,1)}
       140:{3,5}:{(125,1),(126,1),(148,1),(149,1)}
       141:{1,4}:{(126,1),(127,1),(149,1)}
       142:{1,2}:{(127,1),(128,1)}
       143:{5,7}:{(131,1),(132,1)}
       144:{4,7}:{(133,1),(134,1)}
       145:{3,7}:{(135,1),(136,1),(150,1)}
       146:{2,6}:{(136,1),(137,1),(150,1)}
       147:{2,4,7}:{(138,1),(139,1),(144,1),(151,1)}
       148:{3,6}:{(139,1),(140,1),(151,1),(152,1)}
       149:{1,5}:{(140,1),(141,1),(152,1)}
       150:{2,7}:{(145,1),(146,1)}
       151:{3,7}:{(147,1),(148,1),(153,1)}
       152:{1,6}:{(148,1),(149,1),(153,1)}
       153:{1,7}:{(151,1),(152,1)}

 247 :  0:{1,4,6}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,5}:{(0,1),(5,1),(21,1),(24,1)}
        3:{1,4,7}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{2,6}:{(1,1),(8,1),(9,1)}
        5:{3,5}:{(1,1),(2,1),(8,1),(10,1),(17,1)}
        6:{3,7}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,5,7}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{2,5}:{(4,1),(5,1),(13,1)}
        9:{2,7}:{(4,1),(6,1),(34,1)}
       10:{4}:{(5,1)}
       11:{3,5,7}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,6}:{(7,1),(16,1)}
       13:{2,4}:{(8,1),(10,1),(17,1)}
       14:{2,5,7}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{4,7}:{(10,1),(11,1),(20,1),(31,1)}
       16:{3,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{3}:{(13,1),(21,1)}
       18:{2,4,7}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{2,6}:{(14,1),(16,1)}
       20:{4,6}:{(15,1),(16,1),(24,1)}
       21:{1}:{(17,1)}
       22:{3,7}:{(17,1),(18,1),(25,1),(26,1)}
       23:{2,4,6}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{5}:{(20,1)}
       25:{1,7}:{(21,1),(22,1),(28,1)}
       26:{3,6}:{(22,1),(23,1),(28,1),(29,1)}
       27:{2,5}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,6}:{(25,1),(26,1),(30,1)}
       29:{3,5}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,5}:{(28,1),(29,1),(32,1)}
       31:{4}:{(29,1)}
       32:{1,4}:{(30,1),(31,1),(33,1)}
       33:{3}:{(32,1),(34,1)}
       34:{2}:{(33,1)}

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

 249 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(14,1),(18,1),(44,1)}
         1:{1,2,5,7}:{(0,1),(5,1),(6,1),(7,1),(20,1),(29,1),(52,1)}
         2:{2,4,7}:{(0,1),(8,1),(9,1),(60,1),(95,1)}
         3:{2,3,6}:{(0,1),(7,1),(9,1),(21,1),(28,1),(100,1)}
         4:{2,4,5,7}:{(2,1),(10,1),(11,1),(18,1),(33,1),(46,1),(63,1)}
         5:{1,3,5,7}:{(1,1),(12,1),(13,1),(14,1),(36,1),(40,1),(44,1)}
         6:{1,2,4,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(16,1),(38,1),(41,1)}
         7:{1,2,6}:{(1,1),(3,1),(13,1),(34,1),(67,1),(103,1)}
         8:{3,4,7}:{(2,1),(10,1),(14,1),(16,1),(17,1),(63,1),(86,1)}
         9:{2,4,6}:{(2,1),(3,1),(17,1),(18,1),(87,1),(93,1)}
        10:{3,5,7}:{(4,1),(8,1),(20,1),(21,1),(31,1)}
        11:{2,4,6}:{(4,1),(21,1),(22,1),(50,1)}
        12:{1,4,7}:{(5,1),(24,1),(25,1),(60,1),(104,1)}
        13:{1,3,6}:{(5,1),(7,1),(25,1),(28,1),(53,1),(99,1)}
        14:{3,7}:{(6,1),(28,1)}
        15:{1,2,4,6}:{(6,1),(7,1),(9,1),(25,1),(28,1),(29,1),(30,1),(55,1),(57,1),(60,1),(82,1)}
        16:{1,4,7}:{(8,1),(20,1),(26,1),(30,1)}
        17:{3,4,6}:{(8,1),(9,1),(21,1),(28,1),(30,1),(31,1),(50,1),(60,1),(76,1),(83,1)}
        18:{2,5}:{(9,1),(31,1)}
        19:{2,4,6,7}:{(11,1),(32,1),(33,1),(63,1)}
        20:{1,5,7}:{(10,1),(16,1),(34,1),(45,1)}
        21:{3,6}:{(10,1),(11,1),(34,1)}
        22:{2,5,6}:{(11,1),(18,1),(33,1),(35,1),(87,1)}
        23:{1,4,5,7}:{(12,1),(36,1),(37,1),(40,1),(66,1),(70,1),(89,1)}
        24:{3,4,7}:{(12,1),(14,1),(36,1),(38,1),(39,1),(89,1),(101,1)}
        25:{1,4,6}:{(12,1),(13,1),(39,1),(40,1),(94,1),(102,1)}
        26:{1,3,7}:{(14,1),(16,1),(41,1),(42,1),(86,1)}
        27:{2,3,7}:{(14,1),(38,1),(41,1),(43,1),(101,1)}
        28:{3,6}:{(14,1),(15,1),(44,1),(92,1)}
        29:{1,2,5}:{(15,1),(18,1),(40,1),(44,1),(45,1),(69,1)}
        30:{1,4,6}:{(16,1),(17,1),(34,1),(42,1),(45,1),(72,1)}
        31:{3,5}:{(17,1),(18,1),(45,1),(46,1)}
        32:{3,6,7}:{(19,1),(21,1),(47,1),(48,1)}
        33:{2,5,7}:{(19,1),(22,1),(48,1),(95,1)}
        34:{1,6}:{(20,1),(21,1)}
        35:{3,5,6}:{(21,1),(22,1),(31,1),(48,1),(49,1),(50,1),(76,1)}
        36:{3,5,7}:{(23,1),(24,1),(52,1),(53,1),(56,1)}
        37:{1,4,6}:{(23,1),(53,1),(54,1),(80,1)}
        38:{2,4,7}:{(24,1),(27,1),(52,1),(55,1)}
        39:{3,4,6}:{(24,1),(25,1),(28,1),(53,1),(55,1),(56,1),(60,1),(80,1),(84,1),(97,1)}
        40:{1,5}:{(25,1),(56,1)}
        41:{1,2,7}:{(26,1),(27,1),(57,1),(95,1),(104,1)}
        42:{1,3,6}:{(26,1),(28,1),(30,1),(57,1),(58,1),(76,1)}
        43:{2,3,6}:{(27,1),(28,1),(55,1),(57,1),(59,1),(97,1)}
        44:{3,5}:{(28,1),(29,1),(60,1)}
        45:{1,5}:{(30,1),(31,1)}
        46:{4,5}:{(31,1),(50,1),(60,1)}
        47:{1,6,7}:{(32,1),(34,1),(62,1)}
        48:{3,5,7}:{(32,1),(33,1),(35,1),(62,1),(63,1),(86,1)}
        49:{1,5,6}:{(34,1),(35,1),(45,1),(62,1),(64,1)}
        50:{4,6}:{(35,1),(46,1),(63,1)}
        51:{1,4,6,7}:{(37,1),(65,1),(66,1),(89,1)}
        52:{2,5,7}:{(36,1),(38,1),(67,1),(69,1)}
        53:{3,6}:{(36,1),(37,1),(67,1)}
        54:{1,5,6}:{(37,1),(40,1),(66,1),(68,1),(102,1)}
        55:{2,4,6}:{(38,1),(39,1),(43,1),(67,1),(69,1),(73,1)}
        56:{3,5}:{(39,1),(40,1),(69,1),(70,1)}
        57:{1,2,6}:{(41,1),(42,1),(43,1),(71,1),(87,1),(102,1)}
        58:{1,3,5}:{(42,1),(44,1),(45,1),(71,1),(72,1),(74,1),(92,1)}
        59:{2,3,5}:{(43,1),(44,1),(69,1),(71,1),(73,1),(91,1),(92,1)}
        60:{4}:{(44,1)}
        61:{1,4,5}:{(45,1),(46,1),(64,1),(72,1),(74,1)}
        62:{1,5,7}:{(47,1),(48,1),(49,1),(75,1)}
        63:{4,7}:{(48,1),(50,1)}
        64:{1,4,6}:{(49,1),(50,1),(61,1),(75,1),(76,1)}
        65:{3,6,7}:{(51,1),(53,1),(77,1),(78,1)}
        66:{1,5,7}:{(51,1),(54,1),(78,1),(104,1)}
        67:{2,6}:{(52,1),(53,1)}
        68:{3,5,6}:{(53,1),(54,1),(56,1),(78,1),(79,1),(80,1),(97,1)}
        69:{2,5}:{(55,1),(56,1)}
        70:{4,5}:{(56,1),(60,1),(80,1)}
        71:{1,2,5}:{(57,1),(58,1),(59,1),(82,1),(85,1),(98,1)}
        72:{1,4}:{(58,1),(60,1),(83,1)}
        73:{2,4}:{(59,1),(60,1),(84,1)}
        74:{3,5}:{(61,1),(76,1),(83,1),(85,1)}
        75:{1,4,7}:{(62,1),(63,1),(64,1),(86,1)}
        76:{3,6}:{(64,1),(74,1),(86,1),(87,1)}
        77:{2,6,7}:{(65,1),(67,1),(88,1)}
        78:{3,5,7}:{(65,1),(66,1),(68,1),(88,1),(89,1),(101,1)}
        79:{2,5,6}:{(67,1),(68,1),(69,1),(88,1),(90,1)}
        80:{4,6}:{(68,1),(70,1),(89,1)}
        81:{2,4,5}:{(69,1),(70,1),(73,1),(90,1),(91,1)}
        82:{1,2,4}:{(71,1),(72,1),(73,1),(92,1),(93,1),(94,1),(103,1)}
        83:{3,4}:{(72,1),(74,1),(92,1),(93,1)}
        84:{3,4}:{(73,1),(91,1),(92,1),(94,1)}
        85:{2,5}:{(74,1),(87,1),(93,1)}
        86:{3,7}:{(75,1),(76,1),(95,1)}
        87:{2,6}:{(76,1),(85,1),(95,1)}
        88:{2,5,7}:{(77,1),(78,1),(79,1),(96,1)}
        89:{4,7}:{(78,1),(80,1)}
        90:{2,4,6}:{(79,1),(80,1),(81,1),(96,1),(97,1)}
        91:{3,5}:{(81,1),(84,1),(97,1),(98,1)}
        92:{3}:{(82,1)}
        93:{2,4}:{(83,1),(85,1),(100,1)}
        94:{1,4}:{(84,1),(98,1),(99,1)}
        95:{2,7}:{(86,1),(87,1)}
        96:{2,4,7}:{(88,1),(89,1),(90,1),(101,1)}
        97:{3,6}:{(90,1),(91,1),(101,1),(102,1)}
        98:{1,5}:{(91,1),(94,1),(102,1)}
        99:{1,3}:{(92,1),(94,1),(103,1)}
       100:{2,3}:{(92,1),(93,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{1,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{1,7}:{(101,1),(102,1)}

 250 :   0:{2,4,5,6}:{(1,1),(2,1),(10,1),(88,1),(89,1)}
         1:{3,5,6}:{(0,1),(3,1),(4,1),(6,1)}
         2:{2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(70,1),(71,1)}
         3:{3,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(41,1)}
         4:{1,5,6}:{(1,1),(9,1),(13,1)}
         5:{2,3,5,6}:{(1,1),(10,1),(12,1),(14,1),(32,1),(41,1),(83,1),(88,1),(139,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(13,1),(15,1)}
         7:{2,4,6,7}:{(2,1),(15,1),(16,1),(50,1)}
         8:{3,4,5}:{(3,1),(17,1),(18,1),(56,1)}
         9:{1,4,6}:{(3,1),(4,1),(17,1),(20,1),(23,1)}
        10:{2,4,6}:{(3,1),(5,1),(18,1),(24,1),(160,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(24,1),(67,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(22,1),(26,1),(27,1),(54,1),(112,1),(117,1),(162,1)}
        13:{1,5,7}:{(4,1),(6,1),(23,1),(28,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(24,1),(27,1),(29,1),(67,1),(70,1),(124,1)}
        15:{3,6,7}:{(6,1),(7,1),(28,1)}
        16:{2,5,6,7}:{(7,1),(30,1),(70,1),(128,1)}
        17:{1,4,5}:{(8,1),(9,1),(31,1)}
        18:{2,4,5}:{(8,1),(10,1),(32,1),(177,1)}
        19:{3,4,5,7}:{(8,1),(11,1),(34,1),(35,1),(36,1),(45,1),(85,1),(145,1),(148,1),(171,1),(177,1)}
        20:{1,3,6}:{(9,1),(31,1),(37,1),(38,1),(41,1)}
        21:{2,3,4,6}:{(10,1),(32,1),(39,1),(40,1),(41,1),(83,1),(84,1),(90,1),(138,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(12,1),(33,1),(37,1),(41,1),(42,1),(46,1),(90,1)}
        23:{1,4,7}:{(9,1),(11,1),(13,1),(38,1)}
        24:{2,4,7}:{(10,1),(11,1),(14,1),(148,1)}
        25:{3,4,6,7}:{(11,1),(15,1),(36,1),(43,1),(44,1),(45,1),(50,1),(97,1),(102,1),(145,1),(148,1)}
        26:{1,3,5,6}:{(12,1),(41,1),(46,1),(47,1),(81,1),(95,1),(137,1),(139,1),(146,1),(150,1),(176,1)}
        27:{1,2,5,7}:{(12,1),(13,1),(14,1),(42,1),(47,1),(48,1),(141,1)}
        28:{1,6,7}:{(13,1),(15,1)}
        29:{2,3,6,7}:{(14,1),(15,1),(44,1),(48,1),(83,1),(97,1),(182,1)}
        30:{3,5,6,7}:{(15,1),(16,1),(45,1),(49,1),(50,1),(102,1)}
        31:{1,3,5}:{(17,1),(20,1),(51,1),(52,1),(56,1)}
        32:{2,3,5}:{(18,1),(21,1),(54,1),(56,1),(117,1),(159,1)}
        33:{1,2,4,5}:{(17,1),(18,1),(22,1),(52,1),(54,1),(56,1),(72,1),(106,1),(110,1),(117,1)}
        34:{1,4,5,7}:{(17,1),(19,1),(23,1),(53,1),(58,1),(69,1),(121,1),(153,1)}
        35:{2,4,5,7}:{(18,1),(19,1),(24,1),(55,1),(59,1),(70,1),(166,1),(186,1)}
        36:{3,4,6}:{(19,1),(58,1),(59,1),(60,1),(114,1),(160,1)}
        37:{1,2,6}:{(20,1),(52,1),(61,1),(62,1)}
        38:{1,3,7}:{(20,1),(23,1),(62,1),(67,1)}
        39:{1,2,4,6}:{(21,1),(54,1),(64,1),(65,1),(110,1),(112,1),(158,1)}
        40:{2,3,4,7}:{(21,1),(24,1),(55,1),(65,1),(67,1),(113,1),(118,1),(204,1)}
        41:{3,6}:{(22,1),(56,1),(67,1)}
        42:{1,2,4,7}:{(22,1),(23,1),(24,1),(27,1),(62,1),(67,1),(73,1),(118,1)}
        43:{1,4,6,7}:{(23,1),(25,1),(28,1),(58,1),(63,1),(69,1),(121,1)}
        44:{2,4,6,7}:{(24,1),(25,1),(29,1),(59,1),(70,1),(128,1),(166,1)}
        45:{3,5,7}:{(25,1),(60,1),(69,1),(70,1),(71,1)}
        46:{1,4,6}:{(26,1),(66,1),(72,1),(73,1),(110,1),(160,1)}
        47:{1,3,5,7}:{(26,1),(27,1),(67,1),(73,1),(74,1),(122,1),(124,1),(127,1)}
        48:{1,2,6,7}:{(27,1),(28,1),(29,1),(74,1),(112,1),(162,1),(194,1)}
        49:{1,5,6,7}:{(28,1),(30,1),(69,1),(75,1)}
        50:{4,6,7}:{(30,1),(71,1)}
        51:{1,3,4}:{(31,1),(76,1),(84,1)}
        52:{1,2,5}:{(31,1),(37,1),(76,1),(78,1)}
        53:{1,3,5,7}:{(31,1),(34,1),(38,1),(77,1),(79,1),(80,1),(85,1),(131,1),(202,1)}
        54:{1,2,5}:{(32,1),(39,1),(81,1),(176,1)}
        55:{2,3,5,7}:{(32,1),(35,1),(40,1),(82,1),(83,1),(85,1),(141,1),(182,1),(197,1)}
        56:{3,5}:{(33,1),(41,1),(84,1)}
        57:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(42,1),(79,1),(82,1),(85,1),(86,1),(98,1),(100,1),(132,1),(136,1),(141,1),(144,1),(148,1),(170,1),(172,1),(176,1),(177,1),(179,1),(202,1)}
        58:{1,4,6}:{(34,1),(36,1),(80,1),(87,1)}
        59:{2,4,6}:{(35,1),(36,1),(83,1),(88,1)}
        60:{3,5,6}:{(36,1),(45,1),(87,1),(88,1),(89,1)}
        61:{2,3,6}:{(37,1),(41,1),(78,1),(90,1),(91,1)}
        62:{1,2,7}:{(37,1),(38,1),(91,1)}
        63:{1,3,6,7}:{(38,1),(43,1),(80,1),(92,1),(93,1),(97,1),(102,1)}
        64:{1,3,6}:{(39,1),(41,1),(81,1),(94,1)}
        65:{1,2,4,7}:{(39,1),(40,1),(82,1),(94,1),(136,1),(208,1)}
        66:{3,4,6}:{(41,1),(46,1),(84,1),(90,1),(95,1),(96,1),(146,1)}
        67:{3,7}:{(41,1),(42,1)}
        68:{1,2,4,6,7}:{(42,1),(43,1),(44,1),(48,1),(86,1),(92,1),(97,1),(98,1),(101,1),(142,1),(144,1),(148,1)}
        69:{1,5,7}:{(43,1),(45,1),(87,1)}
        70:{2,5,7}:{(44,1),(45,1),(88,1)}
        71:{4,5,7}:{(45,1),(50,1),(89,1),(148,1)}
        72:{1,4,5}:{(46,1),(95,1),(176,1),(177,1)}
        73:{1,4,7}:{(46,1),(47,1),(96,1),(148,1)}
        74:{1,3,6,7}:{(47,1),(48,1),(97,1),(101,1),(137,1),(146,1),(181,1)}
        75:{1,4,6,7}:{(49,1),(50,1),(99,1),(102,1)}
        76:{1,2,4}:{(51,1),(52,1),(103,1),(106,1)}
        77:{1,3,4,7}:{(51,1),(53,1),(104,1),(105,1),(113,1),(121,1),(165,1),(193,1)}
        78:{2,3,5}:{(52,1),(56,1),(61,1),(103,1),(106,1),(117,1)}
        79:{1,2,5,7}:{(52,1),(53,1),(62,1),(104,1),(107,1),(108,1),(152,1)}
        80:{1,3,6}:{(53,1),(58,1),(108,1),(114,1),(207,1)}
        81:{1,3,5}:{(54,1),(56,1),(64,1),(110,1)}
        82:{1,2,5,7}:{(54,1),(55,1),(65,1),(111,1),(112,1),(194,1),(205,1)}
        83:{2,3,6}:{(55,1),(59,1),(112,1),(114,1),(162,1)}
        84:{3,4}:{(56,1),(106,1),(110,1)}
        85:{3,5,7}:{(56,1),(57,1),(67,1),(113,1),(114,1),(159,1),(165,1),(185,1)}
        86:{1,2,4,6}:{(57,1),(58,1),(59,1),(108,1),(112,1),(114,1),(115,1),(126,1),(154,1),(158,1),(160,1),(162,1),(191,1),(207,1)}
        87:{1,5,6}:{(58,1),(60,1),(69,1)}
        88:{2,5,6}:{(59,1),(60,1),(70,1)}
        89:{4,5,6}:{(60,1),(71,1),(160,1)}
        90:{2,4,6}:{(61,1),(66,1),(106,1),(117,1),(118,1),(162,1)}
        91:{2,3,7}:{(61,1),(62,1),(67,1),(118,1)}
        92:{1,2,6,7}:{(62,1),(63,1),(108,1),(119,1),(120,1),(128,1),(207,1)}
        93:{1,3,5,7}:{(63,1),(69,1),(109,1),(120,1),(121,1),(124,1),(125,1),(165,1)}
        94:{1,3,7}:{(64,1),(65,1),(67,1),(209,1)}
        95:{3,5}:{(66,1),(72,1),(117,1)}
        96:{3,4,7}:{(66,1),(67,1),(73,1),(118,1),(122,1)}
        97:{3,6,7}:{(67,1),(68,1),(114,1),(124,1),(165,1)}
        98:{1,2,5,7}:{(68,1),(69,1),(70,1),(115,1),(124,1),(127,1),(163,1)}
        99:{1,4,5,7}:{(69,1),(71,1),(75,1),(116,1),(121,1),(125,1)}
       100:{1,4,5,7}:{(72,1),(73,1),(122,1),(126,1),(127,1),(168,1)}
       101:{1,4,6,7}:{(73,1),(74,1),(123,1),(126,1),(127,1),(158,1),(193,1),(207,1)}
       102:{3,6,7}:{(75,1),(125,1),(128,1)}
       103:{2,3}:{(76,1)}
       104:{1,2,4,7}:{(76,1),(77,1),(79,1),(129,1),(130,1),(132,1)}
       105:{1,3,4,6}:{(77,1),(80,1),(130,1),(131,1),(135,1),(138,1),(174,1),(195,1),(199,1)}
       106:{2,4}:{(78,1),(84,1)}
       107:{2,3,5,7}:{(78,1),(79,1),(85,1),(91,1),(129,1),(132,1),(133,1),(141,1),(169,1),(172,1)}
       108:{1,2,6}:{(79,1),(80,1),(133,1)}
       109:{1,3,5,6}:{(80,1),(87,1),(93,1),(131,1),(134,1),(135,1),(139,1),(140,1),(174,1)}
       110:{1,4}:{(81,1),(84,1)}
       111:{1,3,5,7}:{(81,1),(82,1),(85,1),(94,1),(136,1),(137,1),(176,1),(181,1),(196,1),(202,1)}
       112:{1,2,6}:{(82,1),(83,1),(137,1)}
       113:{3,4,7}:{(84,1),(85,1),(132,1),(136,1),(138,1),(148,1),(195,1)}
       114:{3,6}:{(85,1),(86,1)}
       115:{1,2,5,6}:{(86,1),(87,1),(88,1),(98,1),(139,1),(150,1),(172,1),(176,1),(178,1)}
       116:{1,4,5,6}:{(87,1),(89,1),(99,1),(135,1),(140,1)}
       117:{2,5}:{(90,1),(95,1)}
       118:{2,4,7}:{(90,1),(91,1),(96,1),(141,1)}
       119:{2,3,6,7}:{(91,1),(92,1),(97,1),(133,1),(142,1),(143,1),(201,1)}
       120:{1,2,5,7}:{(92,1),(93,1),(134,1),(143,1),(144,1),(149,1),(202,1)}
       121:{1,4,7}:{(93,1),(135,1),(145,1),(148,1)}
       122:{3,5,7}:{(95,1),(96,1),(100,1),(141,1),(146,1)}
       123:{3,4,6,7}:{(96,1),(97,1),(101,1),(138,1),(142,1),(146,1),(147,1),(148,1),(180,1),(183,1),(201,1)}
       124:{3,5,7}:{(97,1),(98,1),(139,1),(148,1)}
       125:{3,5,7}:{(99,1),(102,1),(140,1),(145,1),(149,1)}
       126:{1,4,6}:{(100,1),(146,1),(150,1),(183,1)}
       127:{1,5,7}:{(101,1),(147,1),(150,1),(176,1)}
       128:{2,6,7}:{(102,1),(149,1)}
       129:{2,3,7}:{(103,1),(104,1),(151,1),(165,1)}
       130:{1,2,4,6}:{(104,1),(105,1),(108,1),(151,1),(152,1),(154,1),(184,1)}
       131:{1,3,5}:{(105,1),(152,1),(153,1),(159,1),(185,1),(206,1)}
       132:{2,4,7}:{(106,1),(107,1),(113,1),(154,1),(184,1)}
       133:{2,3,6}:{(107,1),(108,1),(114,1),(154,1),(162,1)}
       134:{1,2,5,6}:{(108,1),(109,1),(120,1),(152,1),(155,1),(156,1),(161,1),(206,1),(207,1)}
       135:{1,4,6}:{(109,1),(121,1),(153,1),(157,1),(160,1)}
       136:{1,4,7}:{(110,1),(111,1),(113,1),(158,1),(203,1)}
       137:{1,3,6}:{(111,1),(112,1),(114,1),(158,1),(207,1)}
       138:{3,4,6}:{(113,1),(114,1),(154,1),(158,1),(159,1),(160,1)}
       139:{3,5,6}:{(114,1),(115,1),(124,1),(159,1),(160,1)}
       140:{3,5,6}:{(116,1),(125,1),(157,1),(161,1)}
       141:{2,5,7}:{(117,1),(118,1),(122,1),(162,1)}
       142:{2,4,6,7}:{(118,1),(119,1),(123,1),(154,1),(162,1),(163,1),(164,1),(191,1)}
       143:{2,3,5,7}:{(119,1),(120,1),(124,1),(155,1),(163,1),(164,1),(165,1),(192,1)}
       144:{1,2,4,7}:{(120,1),(121,1),(156,1),(164,1),(165,1),(166,1),(193,1),(194,1)}
       145:{3,4,7}:{(121,1),(125,1),(157,1),(165,1),(166,1)}
       146:{3,6}:{(122,1),(126,1),(162,1)}
       147:{3,5,7}:{(123,1),(127,1),(159,1),(163,1),(167,1),(168,1)}
       148:{4,7}:{(124,1),(160,1)}
       149:{2,5,7}:{(125,1),(128,1),(161,1),(166,1)}
       150:{1,5,6}:{(126,1),(127,1),(167,1),(207,1)}
       151:{2,3,6}:{(129,1),(130,1),(169,1),(174,1)}
       152:{1,2,5}:{(130,1),(131,1),(169,1),(172,1)}
       153:{1,4,5}:{(131,1),(135,1),(171,1),(177,1)}
       154:{2,4,6}:{(132,1),(133,1),(138,1),(172,1)}
       155:{2,3,5,6}:{(133,1),(134,1),(139,1),(143,1),(169,1),(172,1),(173,1),(174,1),(178,1),(198,1),(201,1)}
       156:{1,2,4,6}:{(134,1),(135,1),(144,1),(170,1),(173,1),(174,1),(175,1),(199,1),(200,1)}
       157:{3,4,6}:{(135,1),(140,1),(145,1),(171,1),(174,1),(175,1)}
       158:{1,4,6}:{(136,1),(137,1),(138,1),(176,1)}
       159:{3,5}:{(138,1),(172,1),(176,1),(177,1)}
       160:{4,6}:{(139,1),(148,1),(177,1)}
       161:{2,5,6}:{(140,1),(149,1),(175,1)}
       162:{2,6}:{(141,1),(146,1)}
       163:{2,5,7}:{(142,1),(147,1),(172,1),(178,1)}
       164:{2,4,7}:{(143,1),(148,1),(173,1),(180,1)}
       165:{3,7}:{(144,1),(174,1)}
       166:{2,4,7}:{(145,1),(149,1),(175,1),(182,1)}
       167:{3,5,6}:{(146,1),(147,1),(150,1),(178,1),(183,1),(201,1)}
       168:{4,5,7}:{(147,1),(148,1),(177,1),(183,1)}
       169:{2,3,5}:{(151,1),(152,1),(184,1),(185,1)}
       170:{1,2,4,5}:{(152,1),(153,1),(156,1),(184,1),(185,1),(186,1),(187,1),(203,1),(205,1),(206,1)}
       171:{3,4,5}:{(153,1),(157,1),(185,1),(186,1)}
       172:{2,5}:{(154,1),(159,1)}
       173:{2,4,6}:{(155,1),(160,1),(164,1),(184,1),(187,1),(188,1)}
       174:{3,6}:{(156,1),(165,1),(185,1)}
       175:{2,4,6}:{(157,1),(161,1),(166,1),(186,1),(190,1)}
       176:{1,5}:{(158,1),(159,1)}
       177:{4,5}:{(159,1),(160,1)}
       178:{2,5,6}:{(162,1),(163,1),(167,1),(191,1)}
       179:{2,4,5,7}:{(163,1),(164,1),(168,1),(187,1),(191,1),(192,1)}
       180:{3,4,7}:{(164,1),(165,1),(188,1),(192,1),(193,1)}
       181:{1,3,7}:{(165,1),(189,1),(193,1),(194,1)}
       182:{2,3,7}:{(165,1),(166,1),(190,1),(194,1)}
       183:{4,6}:{(167,1),(168,1)}
       184:{2,4}:{(169,1),(195,1)}
       185:{3,5}:{(170,1),(174,1),(195,1)}
       186:{2,4,5}:{(171,1),(175,1),(197,1)}
       187:{2,4,5}:{(172,1),(173,1),(177,1),(198,1)}
       188:{3,4,6}:{(173,1),(174,1),(180,1),(195,1),(198,1),(199,1),(201,1)}
       189:{1,3,6}:{(174,1),(181,1),(196,1),(199,1),(200,1)}
       190:{2,3,6}:{(174,1),(175,1),(182,1),(197,1),(200,1)}
       191:{2,4,6}:{(178,1),(179,1),(183,1),(201,1)}
       192:{3,5,7}:{(179,1),(180,1),(198,1),(201,1),(202,1)}
       193:{1,4,7}:{(180,1),(181,1),(199,1),(202,1)}
       194:{1,2,7}:{(181,1),(182,1),(200,1)}
       195:{3,4}:{(184,1),(185,1),(203,1)}
       196:{1,3,5}:{(185,1),(189,1),(203,1),(205,1),(206,1),(209,1)}
       197:{2,3,5}:{(185,1),(186,1),(190,1),(204,1),(205,1)}
       198:{3,5}:{(187,1),(188,1),(206,1)}
       199:{1,4,6}:{(188,1),(189,1),(193,1),(203,1),(206,1),(207,1)}
       200:{1,2,6}:{(189,1),(190,1),(194,1),(205,1)}
       201:{3,6}:{(191,1),(192,1),(207,1)}
       202:{1,5,7}:{(192,1),(193,1),(206,1),(207,1)}
       203:{1,4}:{(195,1),(196,1)}
       204:{2,3,4}:{(195,1),(197,1),(208,1)}
       205:{1,2,5}:{(196,1),(197,1),(200,1),(208,1)}
       206:{1,5}:{(198,1),(199,1)}
       207:{1,6}:{(201,1),(202,1)}
       208:{1,2,4}:{(203,1),(204,1),(205,1),(209,1)}
       209:{1,3}:{(208,1)}

 251 :   0:{2,4,5,7}:{(2,1),(3,1),(5,1),(14,1),(21,1),(37,1),(38,1)}
         1:{2,4,6,7}:{(3,1),(4,1),(5,1),(21,1)}
         2:{3,5,7}:{(0,1),(6,1),(7,1),(9,1),(26,1)}
         3:{2,4,6}:{(0,1),(9,1),(10,1),(30,1)}
         4:{3,6,7}:{(1,1),(9,1),(11,1),(12,1)}
         5:{2,5,7}:{(1,1),(10,1),(12,1),(53,1)}
         6:{3,4,7}:{(2,1),(13,1),(14,1),(15,1),(21,1),(34,1),(42,1)}
         7:{1,5,7}:{(2,1),(13,1),(17,1),(36,1)}
         8:{2,3,5,7}:{(2,1),(14,1),(16,1),(18,1),(34,1),(37,1),(60,1)}
         9:{3,6}:{(2,1),(3,1),(17,1)}
        10:{2,5,6}:{(3,1),(5,1),(19,1),(37,1),(64,1)}
        11:{1,6,7}:{(4,1),(17,1),(20,1)}
        12:{3,5,7}:{(4,1),(5,1),(19,1),(20,1),(21,1),(42,1)}
        13:{1,4,7}:{(6,1),(7,1),(22,1),(24,1)}
        14:{2,4,7}:{(6,1),(8,1),(25,1),(53,1),(72,1)}
        15:{3,4,6}:{(6,1),(9,1),(24,1),(25,1),(26,1),(30,1),(47,1),(52,1),(69,1),(72,1)}
        16:{1,2,5,7}:{(7,1),(8,1),(23,1),(27,1),(28,1),(48,1),(65,1)}
        17:{1,6}:{(7,1),(9,1)}
        18:{2,3,6}:{(8,1),(9,1),(25,1),(28,1),(47,1),(90,1)}
        19:{3,5,6}:{(9,1),(10,1),(12,1),(26,1),(29,1),(30,1),(52,1)}
        20:{1,5,7}:{(11,1),(12,1),(29,1),(31,1)}
        21:{4,7}:{(12,1),(30,1)}
        22:{1,3,7}:{(13,1),(32,1),(33,1),(34,1),(42,1)}
        23:{1,2,4,7}:{(13,1),(14,1),(16,1),(32,1),(34,1),(35,1),(39,1),(54,1)}
        24:{1,4,6}:{(13,1),(15,1),(17,1),(33,1),(36,1),(57,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(37,1),(64,1),(80,1)}
        26:{3,5}:{(15,1),(36,1),(37,1),(38,1)}
        27:{1,3,5,7}:{(16,1),(34,1),(39,1),(40,1),(58,1),(60,1),(63,1)}
        28:{1,2,6}:{(16,1),(17,1),(18,1),(40,1),(76,1),(97,1)}
        29:{1,5,6}:{(17,1),(19,1),(20,1),(36,1),(41,1)}
        30:{4,6}:{(19,1),(21,1),(38,1)}
        31:{1,4,7}:{(20,1),(21,1),(41,1),(42,1)}
        32:{1,2,7}:{(22,1),(43,1),(44,1),(53,1),(104,1)}
        33:{1,3,6}:{(22,1),(24,1),(44,1),(45,1),(47,1),(52,1)}
        34:{3,7}:{(23,1),(47,1)}
        35:{1,2,4,6}:{(23,1),(24,1),(25,1),(28,1),(44,1),(47,1),(48,1),(51,1),(66,1),(68,1),(72,1)}
        36:{1,5}:{(24,1),(26,1)}
        37:{2,5}:{(25,1),(26,1)}
        38:{4,5}:{(26,1),(30,1),(72,1)}
        39:{1,4,7}:{(27,1),(46,1),(51,1),(72,1),(104,1)}
        40:{1,3,6}:{(27,1),(28,1),(47,1),(51,1),(70,1),(89,1)}
        41:{1,4,6}:{(29,1),(30,1),(31,1),(49,1),(52,1)}
        42:{3,7}:{(31,1),(52,1),(53,1)}
        43:{2,3,7}:{(32,1),(34,1),(54,1),(55,1),(102,1)}
        44:{1,2,6}:{(32,1),(33,1),(55,1),(56,1),(64,1),(103,1)}
        45:{1,3,5}:{(33,1),(36,1),(56,1),(57,1),(60,1),(61,1),(79,1)}
        46:{3,4,7}:{(34,1),(39,1),(54,1),(58,1),(59,1),(98,1),(102,1)}
        47:{3,6}:{(34,1),(35,1),(60,1),(79,1)}
        48:{1,2,5}:{(35,1),(36,1),(37,1),(60,1),(63,1),(77,1)}
        49:{1,4,5}:{(36,1),(38,1),(41,1),(57,1),(61,1)}
        50:{1,4,5,7}:{(39,1),(58,1),(62,1),(63,1),(83,1),(84,1),(98,1)}
        51:{1,4,6}:{(39,1),(40,1),(59,1),(63,1),(96,1),(103,1)}
        52:{3,6}:{(41,1),(42,1),(61,1),(64,1)}
        53:{2,7}:{(42,1),(64,1)}
        54:{2,4,7}:{(43,1),(46,1),(65,1),(66,1)}
        55:{2,3,6}:{(43,1),(44,1),(47,1),(66,1),(67,1),(100,1)}
        56:{1,2,5}:{(44,1),(45,1),(67,1),(68,1),(73,1),(101,1)}
        57:{1,4}:{(45,1),(69,1),(72,1)}
        58:{3,5,7}:{(46,1),(50,1),(65,1),(70,1),(71,1)}
        59:{3,4,6}:{(46,1),(47,1),(51,1),(66,1),(70,1),(71,1),(72,1),(88,1),(92,1),(100,1)}
        60:{3,5}:{(47,1),(48,1),(72,1)}
        61:{3,5}:{(49,1),(52,1),(69,1),(73,1)}
        62:{1,4,6}:{(50,1),(70,1),(75,1),(92,1)}
        63:{1,5}:{(51,1),(71,1)}
        64:{2,6}:{(52,1),(53,1),(73,1)}
        65:{2,5,7}:{(54,1),(58,1),(76,1),(77,1)}
        66:{2,4,6}:{(54,1),(55,1),(59,1),(76,1),(77,1),(78,1)}
        67:{2,3,5}:{(55,1),(56,1),(60,1),(77,1),(78,1),(79,1),(95,1)}
        68:{1,2,4}:{(56,1),(57,1),(78,1),(79,1),(80,1),(96,1),(97,1)}
        69:{3,4}:{(57,1),(61,1),(79,1),(80,1)}
        70:{3,6}:{(58,1),(62,1),(76,1)}
        71:{3,5}:{(59,1),(63,1),(77,1),(83,1)}
        72:{4}:{(60,1)}
        73:{2,5}:{(61,1),(64,1),(80,1)}
        74:{1,4,6,7}:{(62,1),(81,1),(84,1),(98,1)}
        75:{1,5,6}:{(62,1),(63,1),(82,1),(84,1),(103,1)}
        76:{2,6}:{(65,1),(70,1)}
        77:{2,5}:{(66,1),(71,1)}
        78:{2,4}:{(67,1),(72,1),(88,1)}
        79:{3}:{(68,1)}
        80:{2,4}:{(69,1),(73,1),(90,1)}
        81:{3,6,7}:{(70,1),(74,1),(85,1),(91,1)}
        82:{3,5,6}:{(70,1),(71,1),(75,1),(86,1),(91,1),(92,1),(100,1)}
        83:{4,5}:{(71,1),(72,1),(92,1)}
        84:{1,5,7}:{(74,1),(75,1),(91,1),(104,1)}
        85:{2,6,7}:{(76,1),(81,1),(93,1)}
        86:{2,5,6}:{(76,1),(77,1),(82,1),(93,1),(94,1)}
        87:{2,4,5}:{(77,1),(78,1),(83,1),(94,1),(95,1)}
        88:{3,4}:{(78,1),(79,1),(95,1),(96,1)}
        89:{1,3}:{(79,1),(96,1),(97,1)}
        90:{2,3}:{(79,1),(80,1),(97,1)}
        91:{3,5,7}:{(81,1),(82,1),(84,1),(93,1),(98,1),(102,1)}
        92:{4,6}:{(82,1),(83,1),(98,1)}
        93:{2,5,7}:{(85,1),(86,1),(91,1),(99,1)}
        94:{2,4,6}:{(86,1),(87,1),(92,1),(99,1),(100,1)}
        95:{3,5}:{(87,1),(88,1),(100,1),(101,1)}
        96:{1,4}:{(88,1),(89,1),(101,1)}
        97:{1,2}:{(89,1),(90,1)}
        98:{4,7}:{(91,1),(92,1)}
        99:{2,4,7}:{(93,1),(94,1),(98,1),(102,1)}
       100:{3,6}:{(94,1),(95,1),(102,1),(103,1)}
       101:{1,5}:{(95,1),(96,1),(103,1)}
       102:{3,7}:{(99,1),(100,1),(104,1)}
       103:{1,6}:{(100,1),(101,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 252 :   0:{2,5,6,7}:{(1,1),(2,1),(28,1),(32,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(4,1),(6,1),(15,1),(17,1)}
         2:{2,4,6,7}:{(0,1),(4,1),(5,1),(6,1)}
         3:{1,5,6,7}:{(1,1),(7,1),(12,1),(31,1)}
         4:{4,6,7}:{(1,1),(8,1)}
         5:{2,4,5,7}:{(2,1),(8,1),(10,1),(11,1),(32,1),(38,1)}
         6:{3,6,7}:{(2,1),(11,1),(12,1)}
         7:{1,4,6,7}:{(3,1),(4,1),(14,1),(15,1)}
         8:{4,5,7}:{(4,1),(16,1),(17,1),(104,1)}
         9:{3,4,6,7}:{(4,1),(6,1),(15,1),(17,1),(18,1),(19,1),(21,1),(42,1),(46,1),(52,1),(104,1)}
        10:{2,4,5,6}:{(5,1),(16,1),(20,1),(48,1),(55,1)}
        11:{3,5,7}:{(5,1),(6,1),(20,1),(21,1),(22,1)}
        12:{1,6,7}:{(6,1),(22,1)}
        13:{2,3,6,7}:{(6,1),(19,1),(23,1),(24,1),(52,1),(93,1),(98,1)}
        14:{1,4,5,7}:{(7,1),(8,1),(25,1),(26,1),(31,1),(65,1)}
        15:{3,6,7}:{(7,1),(26,1),(28,1)}
        16:{4,5,6}:{(8,1),(29,1),(132,1)}
        17:{3,5,7}:{(8,1),(9,1),(29,1),(31,1),(32,1)}
        18:{1,4,6,7}:{(9,1),(12,1),(27,1),(31,1),(37,1),(65,1),(69,1)}
        19:{2,4,6,7}:{(9,1),(13,1),(28,1),(32,1),(38,1),(66,1),(70,1)}
        20:{3,5,6}:{(10,1),(11,1),(34,1),(35,1)}
        21:{3,4,7}:{(11,1),(34,1),(37,1),(38,1),(85,1)}
        22:{1,5,7}:{(11,1),(12,1),(35,1),(37,1)}
        23:{2,3,5,7}:{(11,1),(13,1),(32,1),(36,1),(38,1),(39,1),(75,1),(85,1)}
        24:{1,2,6,7}:{(12,1),(13,1),(39,1),(40,1),(125,1),(130,1),(194,1)}
        25:{1,4,5,6}:{(14,1),(16,1),(41,1),(47,1),(89,1)}
        26:{3,5,7}:{(14,1),(15,1),(41,1),(42,1),(44,1)}
        27:{1,3,6,7}:{(15,1),(18,1),(43,1),(45,1),(52,1),(57,1),(97,1)}
        28:{2,6,7}:{(15,1),(44,1)}
        29:{3,5,6}:{(16,1),(17,1),(46,1),(47,1),(48,1)}
        30:{3,4,5,7}:{(17,1),(21,1),(42,1),(46,1),(49,1),(50,1),(53,1),(88,1),(103,1),(104,1),(164,1)}
        31:{1,5,7}:{(17,1),(18,1),(47,1)}
        32:{2,5,7}:{(17,1),(19,1),(48,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(24,1),(45,1),(51,1),(52,1),(59,1),(61,1),(94,1),(96,1),(99,1),(104,1)}
        34:{3,4,6}:{(20,1),(21,1),(53,1),(54,1),(55,1),(111,1)}
        35:{1,5,6}:{(20,1),(22,1),(54,1)}
        36:{2,3,5,6}:{(20,1),(23,1),(48,1),(55,1),(56,1),(98,1),(100,1),(107,1),(111,1)}
        37:{1,4,7}:{(21,1),(22,1),(54,1),(57,1)}
        38:{2,4,7}:{(21,1),(23,1),(55,1),(104,1)}
        39:{1,2,5,7}:{(22,1),(23,1),(24,1),(56,1),(59,1),(60,1),(174,1)}
        40:{1,3,6,7}:{(24,1),(52,1),(60,1),(61,1),(157,1),(162,1),(175,1)}
        41:{3,5,6}:{(25,1),(26,1),(62,1),(64,1)}
        42:{3,4,7}:{(26,1),(62,1),(65,1),(66,1),(126,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(31,1),(63,1),(65,1),(67,1),(75,1),(126,1)}
        44:{2,5,7}:{(26,1),(28,1),(64,1),(66,1)}
        45:{1,2,6,7}:{(27,1),(28,1),(67,1),(68,1),(83,1),(129,1),(209,1)}
        46:{3,4,6}:{(29,1),(30,1),(69,1),(70,1),(131,1),(132,1)}
        47:{1,5,6}:{(29,1),(31,1),(69,1)}
        48:{2,5,6}:{(29,1),(32,1),(70,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(37,1),(65,1),(69,1),(72,1),(77,1),(118,1)}
        50:{2,4,5,7}:{(30,1),(32,1),(38,1),(66,1),(70,1),(73,1),(78,1),(119,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(71,1),(75,1),(87,1),(128,1)}
        52:{3,6,7}:{(33,1),(75,1),(85,1),(126,1),(131,1)}
        53:{3,4,5}:{(34,1),(77,1),(78,1),(141,1)}
        54:{1,4,6}:{(34,1),(35,1),(37,1),(77,1),(79,1)}
        55:{2,4,6}:{(34,1),(36,1),(38,1),(78,1),(132,1)}
        56:{1,2,5,6}:{(35,1),(36,1),(39,1),(81,1),(82,1),(130,1),(140,1),(193,1),(194,1)}
        57:{1,3,7}:{(37,1),(79,1),(83,1),(85,1)}
        58:{2,3,4,7}:{(38,1),(73,1),(80,1),(84,1),(85,1),(135,1),(146,1),(176,1)}
        59:{1,2,4,7}:{(37,1),(38,1),(39,1),(81,1),(83,1),(85,1),(86,1),(146,1)}
        60:{1,3,5,7}:{(39,1),(40,1),(75,1),(82,1),(85,1),(86,1),(87,1),(147,1)}
        61:{1,4,6,7}:{(40,1),(76,1),(86,1),(87,1),(148,1),(184,1),(188,1),(209,1)}
        62:{3,4,6}:{(41,1),(42,1),(88,1),(89,1),(90,1),(154,1)}
        63:{1,3,5,6}:{(41,1),(43,1),(47,1),(89,1),(91,1),(97,1),(100,1),(149,1),(154,1)}
        64:{2,5,6}:{(41,1),(44,1),(90,1)}
        65:{1,4,7}:{(42,1),(43,1),(89,1),(104,1)}
        66:{2,4,7}:{(42,1),(44,1),(90,1),(93,1)}
        67:{1,2,5,7}:{(43,1),(44,1),(45,1),(91,1),(94,1),(95,1),(201,1)}
        68:{2,3,6,7}:{(45,1),(52,1),(95,1),(96,1),(113,1),(161,1),(202,1)}
        69:{1,4,6}:{(46,1),(47,1),(49,1),(97,1)}
        70:{2,4,6}:{(46,1),(48,1),(50,1),(98,1)}
        71:{1,2,5,6}:{(47,1),(48,1),(51,1),(99,1),(100,1),(117,1),(160,1),(203,1),(204,1)}
        72:{1,3,5,7}:{(49,1),(57,1),(92,1),(97,1),(101,1),(103,1),(106,1),(149,1),(201,1)}
        73:{2,3,5,7}:{(50,1),(58,1),(93,1),(98,1),(102,1),(103,1),(107,1),(150,1),(174,1)}
        74:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(59,1),(94,1),(99,1),(101,1),(102,1),(103,1),(104,1),(108,1),(116,1),(151,1),(159,1),(164,1),(165,1),(166,1),(174,1),(201,1),(203,1),(204,1)}
        75:{3,5,7}:{(51,1),(52,1),(100,1),(104,1)}
        76:{3,4,6,7}:{(52,1),(61,1),(96,1),(104,1),(105,1),(115,1),(158,1),(163,1),(167,1),(175,1),(202,1)}
        77:{1,4,5}:{(53,1),(54,1),(106,1)}
        78:{2,4,5}:{(53,1),(55,1),(107,1),(164,1)}
        79:{1,3,6}:{(54,1),(57,1),(106,1),(109,1),(111,1)}
        80:{2,3,4,6}:{(55,1),(58,1),(98,1),(107,1),(110,1),(111,1),(163,1),(171,1),(172,1)}
        81:{1,2,4,6}:{(54,1),(55,1),(56,1),(59,1),(108,1),(109,1),(111,1),(112,1),(172,1)}
        82:{1,3,5,6}:{(56,1),(60,1),(100,1),(111,1),(112,1),(117,1),(162,1),(170,1),(173,1),(175,1),(204,1)}
        83:{1,2,7}:{(57,1),(109,1),(113,1)}
        84:{1,2,4,7}:{(58,1),(102,1),(110,1),(114,1),(166,1),(195,1)}
        85:{3,7}:{(59,1),(111,1)}
        86:{1,4,7}:{(60,1),(104,1),(112,1),(115,1)}
        87:{1,5,7}:{(61,1),(105,1),(117,1),(204,1)}
        88:{3,4,5}:{(62,1),(118,1),(119,1),(179,1)}
        89:{1,4,6}:{(62,1),(63,1),(65,1),(118,1),(132,1)}
        90:{2,4,6}:{(62,1),(64,1),(66,1),(119,1),(121,1)}
        91:{1,2,5,6}:{(63,1),(64,1),(67,1),(122,1),(123,1),(129,1),(177,1),(208,1),(209,1)}
        92:{1,3,4,7}:{(65,1),(72,1),(120,1),(124,1),(126,1),(135,1),(138,1),(184,1)}
        93:{2,3,7}:{(66,1),(121,1),(125,1),(126,1)}
        94:{1,2,4,7}:{(65,1),(66,1),(67,1),(122,1),(125,1),(126,1),(127,1),(184,1)}
        95:{2,3,5,7}:{(67,1),(68,1),(75,1),(123,1),(126,1),(127,1),(128,1),(185,1)}
        96:{2,4,6,7}:{(68,1),(76,1),(127,1),(128,1),(146,1),(186,1),(187,1),(194,1)}
        97:{1,3,6}:{(69,1),(72,1),(129,1),(131,1),(209,1)}
        98:{2,3,6}:{(70,1),(73,1),(130,1),(131,1),(194,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(71,1),(74,1),(129,1),(130,1),(131,1),(132,1),(148,1),(186,1),(187,1),(188,1),(194,1),(209,1)}
       100:{3,5,6}:{(71,1),(75,1),(131,1),(132,1),(189,1)}
       101:{1,2,5,7}:{(72,1),(83,1),(124,1),(129,1),(133,1),(139,1),(177,1)}
       102:{1,2,5,7}:{(73,1),(84,1),(125,1),(130,1),(134,1),(140,1),(178,1)}
       103:{3,5,7}:{(74,1),(85,1),(126,1),(131,1),(135,1),(141,1),(179,1),(189,1)}
       104:{4,7}:{(75,1),(132,1)}
       105:{3,5,7}:{(76,1),(87,1),(128,1),(136,1),(137,1),(189,1)}
       106:{1,3,5}:{(77,1),(79,1),(138,1),(139,1),(141,1)}
       107:{2,3,5}:{(78,1),(80,1),(140,1),(141,1),(189,1),(193,1)}
       108:{1,2,4,5}:{(77,1),(78,1),(81,1),(139,1),(140,1),(141,1),(145,1),(191,1),(192,1),(193,1)}
       109:{1,2,6}:{(79,1),(83,1),(139,1),(142,1)}
       110:{1,2,4,6}:{(80,1),(84,1),(130,1),(140,1),(143,1),(188,1),(192,1)}
       111:{3,6}:{(81,1),(85,1),(141,1)}
       112:{1,4,6}:{(82,1),(86,1),(132,1),(144,1),(145,1),(192,1)}
       113:{2,3,7}:{(83,1),(85,1),(142,1),(146,1)}
       114:{1,3,7}:{(84,1),(85,1),(143,1),(205,1)}
       115:{3,4,7}:{(85,1),(86,1),(144,1),(146,1),(147,1)}
       116:{1,4,5,7}:{(86,1),(87,1),(136,1),(145,1),(147,1),(148,1)}
       117:{1,5,6}:{(87,1),(137,1),(148,1),(209,1)}
       118:{1,4,5}:{(88,1),(89,1),(149,1),(164,1)}
       119:{2,4,5}:{(88,1),(90,1),(150,1)}
       120:{1,3,4,6}:{(89,1),(92,1),(97,1),(149,1),(152,1),(154,1),(163,1),(198,1),(199,1)}
       121:{2,3,6}:{(90,1),(93,1),(150,1),(153,1),(154,1)}
       122:{1,2,4,6}:{(89,1),(90,1),(91,1),(94,1),(151,1),(153,1),(154,1),(155,1),(199,1)}
       123:{2,3,5,6}:{(91,1),(95,1),(100,1),(154,1),(155,1),(160,1),(161,1),(196,1),(200,1),(202,1),(203,1)}
       124:{1,2,4,7}:{(92,1),(101,1),(152,1),(156,1),(165,1),(168,1)}
       125:{1,2,7}:{(93,1),(153,1),(157,1)}
       126:{3,7}:{(94,1),(154,1)}
       127:{2,4,7}:{(95,1),(104,1),(155,1),(158,1)}
       128:{2,5,7}:{(96,1),(105,1),(160,1),(203,1)}
       129:{1,2,6}:{(97,1),(101,1),(161,1)}
       130:{1,2,6}:{(98,1),(102,1),(162,1)}
       131:{3,6}:{(99,1),(103,1)}
       132:{4,6}:{(100,1),(104,1),(164,1)}
       133:{2,3,5,7}:{(101,1),(103,1),(113,1),(156,1),(161,1),(165,1),(169,1),(174,1),(196,1),(203,1)}
       134:{1,3,5,7}:{(102,1),(103,1),(114,1),(157,1),(162,1),(166,1),(170,1),(197,1),(201,1),(204,1)}
       135:{3,4,7}:{(103,1),(104,1),(163,1),(165,1),(166,1),(171,1),(198,1)}
       136:{4,5,7}:{(104,1),(105,1),(164,1),(167,1)}
       137:{3,5,6}:{(105,1),(117,1),(160,1),(167,1),(175,1),(202,1)}
       138:{1,3,4}:{(106,1),(168,1),(171,1)}
       139:{1,2,5}:{(106,1),(109,1),(168,1),(169,1)}
       140:{1,2,5}:{(107,1),(110,1),(170,1),(204,1)}
       141:{3,5}:{(108,1),(111,1),(171,1)}
       142:{2,3,6}:{(109,1),(111,1),(113,1),(169,1),(172,1)}
       143:{1,3,6}:{(110,1),(111,1),(114,1),(170,1)}
       144:{3,4,6}:{(111,1),(112,1),(115,1),(171,1),(172,1),(173,1),(175,1)}
       145:{1,4,5}:{(112,1),(164,1),(173,1),(204,1)}
       146:{2,4,7}:{(113,1),(115,1),(172,1),(174,1)}
       147:{3,5,7}:{(115,1),(116,1),(173,1),(174,1),(175,1)}
       148:{1,4,6}:{(116,1),(117,1),(167,1),(175,1)}
       149:{1,3,5}:{(118,1),(120,1),(177,1),(179,1),(189,1),(208,1)}
       150:{2,3,5}:{(119,1),(121,1),(176,1),(178,1),(179,1)}
       151:{1,2,4,5}:{(118,1),(119,1),(122,1),(177,1),(178,1),(179,1),(183,1),(206,1),(207,1),(208,1)}
       152:{1,2,4,6}:{(120,1),(124,1),(129,1),(177,1),(180,1),(187,1),(206,1)}
       153:{1,2,6}:{(121,1),(125,1),(178,1),(181,1)}
       154:{3,6}:{(122,1),(126,1),(179,1)}
       155:{2,4,6}:{(123,1),(127,1),(132,1),(182,1),(183,1),(206,1)}
       156:{2,3,7}:{(124,1),(126,1),(180,1),(190,1)}
       157:{1,3,7}:{(125,1),(126,1),(181,1),(184,1)}
       158:{3,4,7}:{(126,1),(127,1),(182,1),(184,1),(185,1)}
       159:{2,4,5,7}:{(127,1),(128,1),(136,1),(183,1),(185,1),(186,1)}
       160:{2,5,6}:{(128,1),(137,1),(186,1),(194,1)}
       161:{2,3,6}:{(129,1),(131,1),(133,1),(187,1),(194,1)}
       162:{1,3,6}:{(130,1),(131,1),(134,1),(188,1),(209,1)}
       163:{3,4,6}:{(131,1),(132,1),(135,1),(187,1),(188,1),(189,1)}
       164:{4,5}:{(132,1),(189,1)}
       165:{2,4,7}:{(133,1),(135,1),(187,1),(191,1),(206,1)}
       166:{1,4,7}:{(134,1),(135,1),(188,1),(192,1),(207,1)}
       167:{4,6}:{(136,1),(137,1)}
       168:{1,2,4}:{(138,1),(139,1),(190,1),(191,1)}
       169:{2,3,5}:{(139,1),(141,1),(142,1),(190,1),(191,1),(193,1)}
       170:{1,3,5}:{(140,1),(141,1),(143,1),(192,1)}
       171:{3,4}:{(141,1),(191,1),(192,1)}
       172:{2,4,6}:{(142,1),(144,1),(146,1),(191,1),(193,1),(194,1)}
       173:{3,5}:{(144,1),(145,1),(193,1)}
       174:{2,5,7}:{(146,1),(147,1),(193,1),(194,1)}
       175:{3,6}:{(147,1),(148,1),(194,1)}
       176:{2,3,4}:{(150,1),(195,1),(198,1)}
       177:{1,2,5}:{(149,1),(152,1),(196,1),(203,1)}
       178:{1,2,5}:{(150,1),(153,1),(195,1),(197,1)}
       179:{3,5}:{(151,1),(154,1),(198,1)}
       180:{2,3,6}:{(152,1),(154,1),(156,1),(196,1)}
       181:{1,3,6}:{(153,1),(154,1),(157,1),(197,1),(199,1)}
       182:{3,4,6}:{(154,1),(155,1),(158,1),(198,1),(199,1),(200,1),(202,1)}
       183:{2,4,5}:{(155,1),(164,1),(200,1),(203,1)}
       184:{1,4,7}:{(157,1),(158,1),(199,1),(201,1)}
       185:{3,5,7}:{(158,1),(159,1),(200,1),(201,1),(202,1)}
       186:{2,4,6}:{(159,1),(160,1),(167,1),(202,1)}
       187:{2,4,6}:{(161,1),(163,1),(165,1),(203,1)}
       188:{1,4,6}:{(162,1),(163,1),(166,1),(204,1)}
       189:{3,5}:{(163,1),(164,1),(203,1),(204,1)}
       190:{2,3}:{(168,1)}
       191:{2,4}:{(169,1),(171,1)}
       192:{1,4}:{(170,1),(171,1)}
       193:{2,5}:{(172,1),(173,1)}
       194:{2,6}:{(174,1),(175,1)}
       195:{1,2,4}:{(176,1),(178,1),(205,1),(207,1)}
       196:{2,3,5}:{(177,1),(179,1),(180,1),(206,1)}
       197:{1,3,5}:{(178,1),(179,1),(181,1),(205,1),(207,1),(208,1)}
       198:{3,4}:{(179,1),(206,1),(207,1)}
       199:{1,4,6}:{(181,1),(182,1),(184,1),(207,1),(208,1),(209,1)}
       200:{3,5}:{(182,1),(183,1),(208,1)}
       201:{1,5,7}:{(184,1),(185,1),(208,1),(209,1)}
       202:{3,6}:{(185,1),(186,1),(209,1)}
       203:{2,5}:{(187,1),(189,1)}
       204:{1,5}:{(188,1),(189,1)}
       205:{1,3}:{(195,1)}
       206:{2,4}:{(196,1),(198,1)}
       207:{1,4}:{(197,1),(198,1)}
       208:{1,5}:{(199,1),(200,1)}
       209:{1,6}:{(201,1),(202,1)}

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

 254 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(12,1),(17,1),(33,1),(35,1),(37,1),(44,1),(63,1),(65,1),(68,1),(71,1),(101,1),(103,1)}
         1:{3,5,7}:{(0,1),(3,1),(6,1),(22,1),(81,1),(88,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(8,1),(19,1),(20,1),(23,1),(29,1),(82,1),(85,1),(115,1),(116,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(11,1),(30,1),(44,1),(95,1)}
         4:{1,3,5,7}:{(1,1),(9,1),(12,1),(13,1),(30,1),(33,1),(61,1),(98,1),(103,1),(104,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(12,1),(14,1),(30,1),(35,1),(61,1),(99,1),(101,1),(105,1)}
         6:{3,6}:{(1,1),(2,1)}
         7:{1,2,4,6,7}:{(2,1),(15,1),(17,1),(32,1),(34,1),(38,1),(44,1),(71,1),(134,1)}
         8:{1,2,5,6}:{(2,1),(16,1),(17,1),(33,1),(35,1),(64,1),(67,1)}
         9:{1,4,7}:{(3,1),(4,1),(19,1),(78,1),(109,1)}
        10:{2,4,7}:{(3,1),(5,1),(20,1),(78,1),(110,1)}
        11:{3,4,6}:{(3,1),(6,1),(19,1),(20,1),(22,1),(29,1),(45,1),(78,1)}
        12:{1,2,5,7}:{(4,1),(5,1),(18,1),(23,1),(47,1),(114,1),(117,1)}
        13:{1,3,6}:{(4,1),(6,1),(19,1),(23,1),(45,1),(116,1)}
        14:{2,3,6}:{(5,1),(6,1),(20,1),(23,1),(45,1),(115,1)}
        15:{3,6,7}:{(6,1),(7,1),(28,1),(88,1),(137,1)}
        16:{3,5,6}:{(6,1),(8,1),(22,1),(28,1),(29,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(28,1),(48,1),(50,1),(136,1)}
        18:{1,2,4,7}:{(9,1),(10,1),(12,1),(30,1),(31,1),(122,1)}
        19:{1,4,6}:{(9,1),(11,1),(13,1),(33,1)}
        20:{2,4,6}:{(10,1),(11,1),(14,1),(35,1)}
        21:{3,4,6,7}:{(11,1),(15,1),(32,1),(34,1),(36,1),(44,1),(60,1),(70,1),(73,1),(75,1),(94,1),(100,1),(102,1),(119,1)}
        22:{3,5}:{(11,1),(33,1),(35,1),(37,1)}
        23:{1,2,6}:{(12,1),(13,1),(14,1)}
        24:{1,3,6,7}:{(13,1),(15,1),(32,1),(38,1),(40,1),(60,1),(100,1),(104,1),(123,1)}
        25:{1,3,5,6}:{(13,1),(16,1),(33,1),(39,1),(40,1),(41,1),(61,1),(64,1),(66,1),(72,1),(93,1),(98,1),(100,1),(123,1),(132,1),(138,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(34,1),(38,1),(42,1),(60,1),(102,1),(105,1),(124,1)}
        27:{2,3,5,6}:{(14,1),(16,1),(35,1),(39,1),(42,1),(43,1),(61,1),(67,1),(69,1),(72,1),(93,1),(99,1),(102,1),(124,1),(133,1),(138,1)}
        28:{3,5,7}:{(15,1),(16,1),(17,1),(44,1),(138,1)}
        29:{4,6}:{(16,1),(37,1),(44,1)}
        30:{3,7}:{(18,1),(45,1),(130,1)}
        31:{1,2,4,6}:{(18,1),(19,1),(20,1),(23,1),(45,1),(47,1),(78,1)}
        32:{1,4,6,7}:{(19,1),(21,1),(24,1),(48,1),(56,1),(82,1),(92,1),(116,1),(127,1)}
        33:{1,5}:{(19,1),(22,1)}
        34:{2,4,6,7}:{(20,1),(21,1),(26,1),(50,1),(58,1),(85,1),(91,1),(115,1),(128,1)}
        35:{2,5}:{(20,1),(22,1)}
        36:{3,5,7}:{(21,1),(22,1),(48,1),(50,1),(52,1),(53,1),(126,1)}
        37:{4,5}:{(22,1),(29,1),(78,1)}
        38:{1,2,6,7}:{(23,1),(24,1),(26,1),(54,1),(115,1),(116,1),(117,1),(131,1)}
        39:{1,2,5,6}:{(23,1),(25,1),(27,1),(47,1),(54,1),(55,1),(84,1),(87,1),(114,1),(115,1),(116,1),(131,1),(136,1)}
        40:{1,3,5,7}:{(24,1),(25,1),(28,1),(48,1),(54,1),(56,1),(77,1),(83,1),(88,1)}
        41:{1,4,6}:{(25,1),(29,1),(49,1),(56,1),(57,1),(78,1),(107,1),(109,1),(139,1)}
        42:{2,3,5,7}:{(26,1),(27,1),(28,1),(50,1),(54,1),(58,1),(77,1),(86,1),(88,1)}
        43:{2,4,6}:{(27,1),(29,1),(51,1),(58,1),(59,1),(78,1),(107,1),(110,1),(139,1)}
        44:{4,7}:{(28,1),(29,1),(139,1)}
        45:{3,6}:{(30,1),(31,1),(61,1)}
        46:{1,2,4,6,7}:{(31,1),(32,1),(34,1),(38,1),(60,1),(62,1),(71,1),(94,1),(96,1)}
        47:{1,2,5}:{(31,1),(33,1),(35,1),(61,1)}
        48:{1,5,7}:{(32,1),(33,1),(36,1),(64,1),(132,1)}
        49:{1,4,5}:{(33,1),(37,1),(41,1),(66,1),(118,1),(132,1)}
        50:{2,5,7}:{(34,1),(35,1),(36,1),(67,1),(133,1)}
        51:{2,4,5}:{(35,1),(37,1),(43,1),(69,1),(118,1),(133,1)}
        52:{3,5,6}:{(36,1),(64,1),(67,1),(70,1),(100,1),(102,1)}
        53:{4,5,7}:{(36,1),(37,1),(44,1),(70,1),(94,1),(118,1)}
        54:{1,2,5,7}:{(38,1),(39,1),(40,1),(42,1),(71,1),(101,1),(103,1)}
        55:{1,2,4,6}:{(39,1),(41,1),(43,1),(63,1),(71,1),(72,1),(74,1),(76,1),(106,1),(122,1)}
        56:{1,4,7}:{(40,1),(41,1),(44,1),(73,1),(94,1)}
        57:{3,4,6}:{(41,1),(66,1),(72,1),(73,1),(74,1),(95,1),(100,1)}
        58:{2,4,7}:{(42,1),(43,1),(44,1),(75,1),(94,1)}
        59:{3,4,6}:{(43,1),(69,1),(72,1),(75,1),(76,1),(95,1),(102,1)}
        60:{3,6,7}:{(45,1),(46,1),(77,1),(88,1),(111,1)}
        61:{3,5}:{(45,1),(47,1),(78,1)}
        62:{1,2,5,7}:{(46,1),(47,1),(48,1),(50,1),(77,1),(79,1)}
        63:{1,2,4,5}:{(47,1),(49,1),(51,1),(55,1),(78,1),(81,1),(84,1),(87,1),(109,1),(110,1),(114,1),(136,1),(139,1)}
        64:{1,5,6}:{(48,1),(52,1),(82,1),(116,1)}
        65:{1,4,5,7}:{(48,1),(49,1),(53,1),(56,1),(82,1),(83,1)}
        66:{3,5}:{(49,1),(57,1),(84,1)}
        67:{2,5,6}:{(50,1),(52,1),(85,1),(115,1)}
        68:{2,4,5,7}:{(50,1),(51,1),(53,1),(58,1),(85,1),(86,1)}
        69:{3,5}:{(51,1),(59,1),(87,1)}
        70:{4,6}:{(52,1),(53,1)}
        71:{1,2,4,7}:{(54,1),(55,1),(56,1),(58,1),(88,1),(91,1),(92,1),(117,1)}
        72:{3,6}:{(55,1),(81,1),(88,1),(130,1)}
        73:{3,4,7}:{(56,1),(57,1),(83,1),(88,1),(91,1)}
        74:{2,4,6}:{(57,1),(84,1),(90,1),(91,1),(110,1),(115,1)}
        75:{3,4,7}:{(58,1),(59,1),(86,1),(88,1),(92,1)}
        76:{1,4,6}:{(59,1),(87,1),(89,1),(92,1),(109,1),(116,1)}
        77:{3,5,7}:{(60,1),(61,1),(62,1),(93,1),(94,1)}
        78:{4}:{(61,1)}
        79:{1,2,5,6}:{(62,1),(64,1),(67,1),(93,1),(96,1),(132,1),(133,1)}
        80:{1,2,4,5,7}:{(62,1),(63,1),(65,1),(68,1),(71,1),(94,1),(96,1),(97,1),(101,1),(103,1),(118,1),(120,1),(121,1),(125,1),(132,1),(133,1)}
        81:{3,5}:{(63,1),(72,1),(95,1)}
        82:{1,4,6}:{(64,1),(65,1),(70,1),(100,1)}
        83:{3,5,7}:{(65,1),(66,1),(73,1),(100,1),(101,1)}
        84:{2,5}:{(66,1),(74,1)}
        85:{2,4,6}:{(67,1),(68,1),(70,1),(102,1)}
        86:{3,5,7}:{(68,1),(69,1),(75,1),(102,1),(103,1)}
        87:{1,5}:{(69,1),(76,1)}
        88:{3,7}:{(71,1),(72,1)}
        89:{1,3,6}:{(72,1),(76,1),(98,1),(104,1),(106,1)}
        90:{2,3,6}:{(72,1),(74,1),(99,1),(105,1),(106,1)}
        91:{2,4,7}:{(73,1),(74,1),(101,1),(105,1)}
        92:{1,4,7}:{(75,1),(76,1),(103,1),(104,1)}
        93:{3,5,6}:{(77,1),(79,1),(107,1),(111,1),(126,1)}
        94:{4,7}:{(77,1),(78,1),(107,1)}
        95:{3,4}:{(78,1),(81,1),(109,1),(110,1),(130,1),(139,1)}
        96:{1,2,4,6}:{(79,1),(80,1),(82,1),(85,1),(107,1),(111,1),(115,1),(116,1),(127,1),(128,1),(131,1)}
        97:{3,5,7}:{(80,1),(81,1),(88,1),(108,1),(111,1),(126,1)}
        98:{1,3,5}:{(81,1),(87,1),(89,1),(109,1),(114,1),(130,1)}
        99:{2,3,5}:{(81,1),(84,1),(90,1),(110,1),(114,1),(130,1)}
       100:{3,6}:{(82,1),(83,1),(115,1)}
       101:{2,5,7}:{(83,1),(84,1),(91,1),(115,1)}
       102:{3,6}:{(85,1),(86,1),(116,1)}
       103:{1,5,7}:{(86,1),(87,1),(92,1),(116,1)}
       104:{1,3,7}:{(88,1),(89,1),(92,1),(117,1)}
       105:{2,3,7}:{(88,1),(90,1),(91,1),(117,1)}
       106:{1,2,6}:{(89,1),(90,1),(114,1),(117,1)}
       107:{4,6}:{(93,1),(94,1),(118,1)}
       108:{3,4,7}:{(94,1),(95,1),(97,1),(119,1),(120,1),(121,1),(135,1)}
       109:{1,4}:{(95,1),(98,1)}
       110:{2,4}:{(95,1),(99,1)}
       111:{3,6}:{(96,1),(97,1)}
       112:{1,3,5,7}:{(97,1),(98,1),(103,1),(104,1),(120,1),(123,1),(125,1),(132,1),(135,1),(138,1)}
       113:{2,3,5,7}:{(97,1),(99,1),(101,1),(105,1),(121,1),(124,1),(125,1),(133,1),(135,1),(138,1)}
       114:{1,2,5}:{(98,1),(99,1),(106,1),(122,1)}
       115:{2,6}:{(100,1),(101,1)}
       116:{1,6}:{(102,1),(103,1)}
       117:{1,2,7}:{(104,1),(105,1),(106,1)}
       118:{4,5}:{(107,1),(126,1),(139,1)}
       119:{3,4,6}:{(107,1),(108,1),(111,1),(126,1),(127,1),(128,1),(137,1),(139,1)}
       120:{1,4,7}:{(108,1),(109,1),(112,1),(127,1),(139,1)}
       121:{2,4,7}:{(108,1),(110,1),(113,1),(128,1),(139,1)}
       122:{1,2,4}:{(109,1),(110,1),(114,1),(130,1)}
       123:{1,3,6}:{(111,1),(112,1),(116,1),(127,1),(131,1),(137,1)}
       124:{2,3,6}:{(111,1),(113,1),(115,1),(128,1),(131,1),(137,1)}
       125:{1,2,5,7}:{(112,1),(113,1),(114,1),(117,1),(129,1),(131,1),(136,1)}
       126:{3,5}:{(118,1),(119,1),(132,1),(133,1)}
       127:{1,4,6}:{(119,1),(120,1),(123,1),(132,1)}
       128:{2,4,6}:{(119,1),(121,1),(124,1),(133,1)}
       129:{1,2,4,7}:{(120,1),(121,1),(122,1),(125,1),(134,1),(135,1)}
       130:{3}:{(122,1)}
       131:{1,2,6}:{(123,1),(124,1),(125,1)}
       132:{1,5}:{(126,1),(127,1)}
       133:{2,5}:{(126,1),(128,1)}
       134:{1,2,4,6}:{(127,1),(128,1),(129,1),(131,1),(136,1),(137,1),(139,1)}
       135:{3,7}:{(129,1),(130,1),(137,1)}
       136:{1,2,5}:{(132,1),(133,1),(134,1),(138,1)}
       137:{3,6}:{(134,1),(135,1),(138,1)}
       138:{3,5}:{(136,1),(137,1),(139,1)}
       139:{4}:{(138,1)}

 255 :  0:{1,2,5,6}:{(2,1),(3,1),(4,1),(34,1),(35,1),(53,1),(54,1)}
        1:{1,2,4,5}:{(3,1),(5,1),(14,1),(18,1),(19,1),(23,1),(34,1),(35,1)}
        2:{3,5,6}:{(0,1),(6,1),(7,1),(9,1),(24,1),(47,1),(48,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(6,1),(9,1),(10,1),(26,1),(27,1),(31,1)}
        4:{1,2,5,7}:{(0,1),(7,1),(10,1),(11,1),(45,1),(46,1)}
        5:{3,5}:{(1,1),(8,1),(9,1)}
        6:{4,6}:{(2,1),(14,1),(16,1)}
        7:{3,5,7}:{(2,1),(4,1),(16,1),(17,1),(22,1),(41,1)}
        8:{3,4}:{(5,1),(18,1),(19,1),(42,1)}
        9:{3,6}:{(3,1),(5,1),(22,1)}
       10:{1,2,4,7}:{(3,1),(4,1),(16,1),(22,1),(39,1),(40,1),(43,1)}
       11:{1,2,6,7}:{(4,1),(17,1),(53,1),(54,1)}
       12:{1,3,5}:{(5,1),(18,1),(20,1),(23,1),(34,1),(42,1),(51,1)}
       13:{2,3,5}:{(5,1),(19,1),(21,1),(23,1),(35,1),(42,1),(51,1)}
       14:{4,5}:{(6,1),(24,1),(56,1)}
       15:{3,4,6}:{(6,1),(8,1),(9,1),(24,1),(26,1),(27,1),(28,1),(47,1),(49,1),(56,1),(61,1)}
       16:{4,7}:{(6,1),(7,1)}
       17:{3,6,7}:{(7,1),(11,1),(29,1),(47,1)}
       18:{1,4}:{(8,1),(12,1),(56,1)}
       19:{2,4}:{(8,1),(13,1),(56,1)}
       20:{1,3,6}:{(9,1),(12,1),(26,1),(31,1),(32,1),(49,1)}
       21:{2,3,6}:{(9,1),(13,1),(27,1),(31,1),(33,1),(49,1)}
       22:{3,7}:{(9,1),(10,1)}
       23:{1,2,5}:{(12,1),(13,1),(30,1),(31,1)}
       24:{3,5}:{(14,1),(15,1),(34,1),(35,1),(62,1)}
       25:{4,5,7}:{(14,1),(16,1),(36,1),(37,1),(41,1),(59,1),(62,1)}
       26:{1,4,6}:{(15,1),(18,1),(20,1),(34,1),(39,1),(53,1)}
       27:{2,4,6}:{(15,1),(19,1),(21,1),(35,1),(40,1),(54,1)}
       28:{3,4,7}:{(15,1),(16,1),(22,1),(36,1),(39,1),(40,1),(55,1),(59,1)}
       29:{4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
       30:{1,2,4}:{(18,1),(19,1),(23,1),(42,1)}
       31:{1,2,6}:{(20,1),(21,1),(23,1),(43,1)}
       32:{1,3,7}:{(20,1),(22,1),(39,1),(43,1),(55,1)}
       33:{2,3,7}:{(21,1),(22,1),(40,1),(43,1),(55,1)}
       34:{1,5}:{(24,1),(26,1)}
       35:{2,5}:{(24,1),(27,1)}
       36:{3,5,7}:{(24,1),(25,1),(28,1),(45,1),(46,1),(47,1)}
       37:{4,6}:{(25,1),(47,1),(48,1)}
       38:{1,2,4,6}:{(26,1),(27,1),(30,1),(31,1),(44,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       39:{1,4,7}:{(26,1),(28,1),(32,1),(45,1)}
       40:{2,4,7}:{(27,1),(28,1),(33,1),(46,1)}
       41:{5,7}:{(29,1),(48,1)}
       42:{3}:{(30,1)}
       43:{1,2,7}:{(31,1),(32,1),(33,1)}
       44:{1,2,5}:{(34,1),(35,1),(38,1),(51,1),(62,1)}
       45:{1,5,7}:{(34,1),(36,1),(39,1),(53,1)}
       46:{2,5,7}:{(35,1),(36,1),(40,1),(54,1)}
       47:{3,6}:{(36,1),(37,1),(53,1),(54,1)}
       48:{5,6}:{(37,1),(41,1),(62,1)}
       49:{3,6}:{(38,1),(42,1),(51,1),(55,1)}
       50:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(52,1),(55,1),(59,1)}
       51:{3,5}:{(44,1),(49,1),(56,1)}
       52:{1,2,5,7}:{(44,1),(45,1),(46,1),(50,1),(57,1),(58,1)}
       53:{1,6}:{(45,1),(47,1)}
       54:{2,6}:{(46,1),(47,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{4}:{(51,1)}
       57:{3,5,7}:{(51,1),(52,1),(55,1),(59,1),(60,1),(62,1)}
       58:{1,2,6}:{(52,1),(53,1),(54,1),(60,1)}
       59:{4,7}:{(56,1),(57,1),(61,1)}
       60:{3,6}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

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

 257 :  0:{1,2,6,7}:{(2,1),(4,1),(50,1),(51,1)}
        1:{1,2,5,6}:{(3,1),(4,1),(5,1),(34,1),(35,1),(50,1),(51,1)}
        2:{3,6,7}:{(0,1),(6,1),(7,1),(43,1)}
        3:{3,5,6}:{(1,1),(7,1),(8,1),(11,1),(20,1),(22,1),(43,1)}
        4:{1,2,5,7}:{(0,1),(1,1),(7,1),(10,1),(44,1),(45,1)}
        5:{1,2,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(24,1),(25,1),(31,1)}
        6:{4,6,7}:{(2,1),(12,1),(14,1),(32,1)}
        7:{3,5,7}:{(2,1),(3,1),(4,1),(12,1),(14,1),(17,1)}
        8:{4,6}:{(3,1),(13,1),(14,1)}
        9:{1,2,4,5}:{(5,1),(13,1),(16,1),(34,1),(35,1),(39,1),(40,1),(41,1)}
       10:{1,2,4,7}:{(4,1),(5,1),(14,1),(17,1),(36,1),(37,1),(42,1)}
       11:{3,6}:{(5,1),(16,1),(17,1)}
       12:{5,7}:{(6,1),(20,1)}
       13:{4,5}:{(8,1),(22,1),(58,1)}
       14:{4,7}:{(7,1),(8,1)}
       15:{3,4,6}:{(8,1),(11,1),(22,1),(23,1),(24,1),(25,1),(26,1),(43,1),(48,1),(58,1),(61,1)}
       16:{3,5}:{(9,1),(11,1),(26,1)}
       17:{3,7}:{(10,1),(11,1)}
       18:{1,3,6}:{(11,1),(24,1),(27,1),(29,1),(31,1),(48,1)}
       19:{2,3,6}:{(11,1),(25,1),(28,1),(30,1),(31,1),(48,1)}
       20:{5,6}:{(12,1),(32,1),(62,1)}
       21:{4,5,7}:{(12,1),(13,1),(14,1),(32,1),(33,1),(60,1),(62,1)}
       22:{3,5}:{(13,1),(15,1),(34,1),(35,1),(62,1)}
       23:{3,4,7}:{(14,1),(15,1),(17,1),(33,1),(36,1),(37,1),(54,1),(60,1)}
       24:{1,4,6}:{(15,1),(18,1),(34,1),(36,1),(39,1),(50,1)}
       25:{2,4,6}:{(15,1),(19,1),(35,1),(37,1),(40,1),(51,1)}
       26:{3,4}:{(16,1),(39,1),(40,1),(55,1)}
       27:{1,3,5}:{(16,1),(18,1),(34,1),(39,1),(41,1),(53,1),(55,1)}
       28:{2,3,5}:{(16,1),(19,1),(35,1),(40,1),(41,1),(53,1),(55,1)}
       29:{1,3,7}:{(17,1),(18,1),(36,1),(42,1),(54,1)}
       30:{2,3,7}:{(17,1),(19,1),(37,1),(42,1),(54,1)}
       31:{1,2,6}:{(18,1),(19,1),(41,1),(42,1)}
       32:{4,6}:{(20,1),(21,1),(43,1)}
       33:{3,5,7}:{(21,1),(22,1),(23,1),(43,1),(44,1),(45,1)}
       34:{1,5}:{(22,1),(24,1)}
       35:{2,5}:{(22,1),(25,1)}
       36:{1,4,7}:{(23,1),(24,1),(29,1),(44,1)}
       37:{2,4,7}:{(23,1),(25,1),(30,1),(45,1)}
       38:{1,2,4,6}:{(24,1),(25,1),(31,1),(46,1),(47,1),(48,1),(49,1),(56,1),(58,1),(61,1)}
       39:{1,4}:{(26,1),(27,1),(58,1)}
       40:{2,4}:{(26,1),(28,1),(58,1)}
       41:{1,2,5}:{(27,1),(28,1),(31,1),(49,1)}
       42:{1,2,7}:{(29,1),(30,1),(31,1)}
       43:{3,6}:{(32,1),(33,1),(50,1),(51,1)}
       44:{1,5,7}:{(33,1),(34,1),(36,1),(50,1)}
       45:{2,5,7}:{(33,1),(35,1),(37,1),(51,1)}
       46:{1,2,5}:{(34,1),(35,1),(38,1),(53,1),(62,1)}
       47:{1,2,4,7}:{(36,1),(37,1),(38,1),(42,1),(52,1),(54,1),(60,1)}
       48:{3,6}:{(38,1),(53,1),(54,1),(55,1)}
       49:{1,2,4}:{(39,1),(40,1),(41,1),(55,1)}
       50:{1,6}:{(43,1),(44,1)}
       51:{2,6}:{(43,1),(45,1)}
       52:{1,2,5,7}:{(44,1),(45,1),(46,1),(47,1),(56,1),(57,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{3,7}:{(47,1),(48,1)}
       55:{3}:{(49,1)}
       56:{1,2,6}:{(50,1),(51,1),(52,1),(59,1)}
       57:{3,5,7}:{(52,1),(53,1),(54,1),(59,1),(60,1),(62,1)}
       58:{4}:{(53,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 258 :   0:{1,3,5,7}:{(2,1),(3,1),(4,1),(5,1),(18,1),(22,1),(48,1)}
         1:{1,4,5,7}:{(3,1),(5,1),(6,1),(22,1),(26,1),(50,1),(53,1)}
         2:{1,2,5,7}:{(0,1),(7,1),(8,1),(9,1),(12,1),(33,1),(54,1)}
         3:{1,4,7}:{(0,1),(10,1),(11,1),(63,1),(88,1)}
         4:{1,3,6}:{(0,1),(9,1),(11,1),(13,1),(32,1),(99,1)}
         5:{3,5,7}:{(1,1),(10,1),(12,1),(13,1),(35,1)}
         6:{1,4,6}:{(1,1),(13,1),(15,1),(39,1)}
         7:{2,3,5,7}:{(2,1),(16,1),(17,1),(18,1),(40,1),(44,1),(48,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(16,1),(18,1),(19,1),(20,1),(42,1),(45,1)}
         9:{1,2,6}:{(2,1),(4,1),(17,1),(23,1),(67,1),(103,1)}
        10:{3,4,7}:{(3,1),(5,1),(18,1),(20,1),(21,1),(53,1),(77,1)}
        11:{1,4,6}:{(3,1),(4,1),(21,1),(22,1),(78,1),(95,1)}
        12:{2,5,7}:{(5,1),(20,1),(23,1),(49,1)}
        13:{3,6}:{(5,1),(6,1),(23,1)}
        14:{1,4,6,7}:{(6,1),(24,1),(26,1),(53,1)}
        15:{1,5,6}:{(6,1),(22,1),(25,1),(26,1),(78,1)}
        16:{2,4,7}:{(7,1),(28,1),(29,1),(63,1),(104,1)}
        17:{2,3,6}:{(7,1),(9,1),(29,1),(32,1),(55,1),(100,1)}
        18:{3,7}:{(8,1),(32,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(11,1),(29,1),(32,1),(33,1),(34,1),(58,1),(60,1),(63,1),(84,1)}
        20:{2,4,7}:{(10,1),(12,1),(31,1),(34,1)}
        21:{3,4,6}:{(10,1),(11,1),(13,1),(32,1),(34,1),(35,1),(39,1),(63,1),(66,1),(86,1)}
        22:{1,5}:{(11,1),(35,1)}
        23:{2,6}:{(12,1),(13,1)}
        24:{3,6,7}:{(13,1),(14,1),(36,1),(38,1)}
        25:{3,5,6}:{(13,1),(15,1),(35,1),(37,1),(38,1),(39,1),(66,1)}
        26:{1,5,7}:{(14,1),(15,1),(38,1),(88,1)}
        27:{2,4,5,7}:{(16,1),(40,1),(41,1),(44,1),(70,1),(72,1),(91,1)}
        28:{3,4,7}:{(16,1),(18,1),(40,1),(42,1),(43,1),(91,1),(101,1)}
        29:{2,4,6}:{(16,1),(17,1),(43,1),(44,1),(94,1),(102,1)}
        30:{1,3,7}:{(18,1),(42,1),(45,1),(46,1),(101,1)}
        31:{2,3,7}:{(18,1),(20,1),(45,1),(47,1),(77,1)}
        32:{3,6}:{(18,1),(19,1),(48,1),(93,1)}
        33:{1,2,5}:{(19,1),(22,1),(44,1),(48,1),(49,1),(71,1)}
        34:{2,4,6}:{(20,1),(21,1),(23,1),(47,1),(49,1),(75,1)}
        35:{3,5}:{(21,1),(22,1),(49,1),(50,1)}
        36:{2,6,7}:{(23,1),(24,1),(51,1)}
        37:{2,5,6}:{(23,1),(25,1),(49,1),(51,1),(52,1)}
        38:{3,5,7}:{(24,1),(25,1),(26,1),(51,1),(53,1),(77,1)}
        39:{4,6}:{(25,1),(50,1),(53,1)}
        40:{3,5,7}:{(27,1),(28,1),(54,1),(55,1),(59,1)}
        41:{2,4,6}:{(27,1),(55,1),(57,1),(82,1)}
        42:{1,4,7}:{(28,1),(30,1),(54,1),(58,1)}
        43:{3,4,6}:{(28,1),(29,1),(32,1),(55,1),(58,1),(59,1),(63,1),(82,1),(85,1),(97,1)}
        44:{2,5}:{(29,1),(59,1)}
        45:{1,2,7}:{(30,1),(31,1),(60,1),(88,1),(104,1)}
        46:{1,3,6}:{(30,1),(32,1),(58,1),(60,1),(61,1),(97,1)}
        47:{2,3,6}:{(31,1),(32,1),(34,1),(60,1),(62,1),(66,1)}
        48:{3,5}:{(32,1),(33,1),(63,1)}
        49:{2,5}:{(34,1),(35,1)}
        50:{4,5}:{(35,1),(39,1),(63,1)}
        51:{2,5,7}:{(36,1),(37,1),(38,1),(65,1)}
        52:{2,4,6}:{(37,1),(39,1),(64,1),(65,1),(66,1)}
        53:{4,7}:{(38,1),(39,1)}
        54:{1,5,7}:{(40,1),(42,1),(67,1),(71,1)}
        55:{3,6}:{(40,1),(41,1),(67,1)}
        56:{2,4,6,7}:{(41,1),(68,1),(70,1),(91,1)}
        57:{2,5,6}:{(41,1),(44,1),(69,1),(70,1),(102,1)}
        58:{1,4,6}:{(42,1),(43,1),(46,1),(67,1),(71,1),(74,1)}
        59:{3,5}:{(43,1),(44,1),(71,1),(72,1)}
        60:{1,2,6}:{(45,1),(46,1),(47,1),(73,1),(78,1),(102,1)}
        61:{1,3,5}:{(46,1),(48,1),(71,1),(73,1),(74,1),(92,1),(93,1)}
        62:{2,3,5}:{(47,1),(48,1),(49,1),(73,1),(75,1),(76,1),(93,1)}
        63:{4}:{(48,1)}
        64:{2,4,5}:{(49,1),(50,1),(52,1),(75,1),(76,1)}
        65:{2,4,7}:{(51,1),(52,1),(53,1),(77,1)}
        66:{3,6}:{(52,1),(76,1),(77,1),(78,1)}
        67:{1,6}:{(54,1),(55,1)}
        68:{3,6,7}:{(55,1),(56,1),(79,1),(81,1)}
        69:{3,5,6}:{(55,1),(57,1),(59,1),(80,1),(81,1),(82,1),(97,1)}
        70:{2,5,7}:{(56,1),(57,1),(81,1),(104,1)}
        71:{1,5}:{(58,1),(59,1)}
        72:{4,5}:{(59,1),(63,1),(82,1)}
        73:{1,2,5}:{(60,1),(61,1),(62,1),(84,1),(87,1),(98,1)}
        74:{1,4}:{(61,1),(63,1),(85,1)}
        75:{2,4}:{(62,1),(63,1),(86,1)}
        76:{3,5}:{(64,1),(66,1),(86,1),(87,1)}
        77:{3,7}:{(65,1),(66,1),(88,1)}
        78:{1,6}:{(66,1),(87,1),(88,1)}
        79:{1,6,7}:{(67,1),(68,1),(89,1)}
        80:{1,5,6}:{(67,1),(69,1),(71,1),(89,1),(90,1)}
        81:{3,5,7}:{(68,1),(69,1),(70,1),(89,1),(91,1),(101,1)}
        82:{4,6}:{(69,1),(72,1),(91,1)}
        83:{1,4,5}:{(71,1),(72,1),(74,1),(90,1),(92,1)}
        84:{1,2,4}:{(73,1),(74,1),(75,1),(93,1),(94,1),(95,1),(103,1)}
        85:{3,4}:{(74,1),(92,1),(93,1),(94,1)}
        86:{3,4}:{(75,1),(76,1),(93,1),(95,1)}
        87:{1,5}:{(76,1),(78,1),(95,1)}
        88:{1,7}:{(77,1),(78,1)}
        89:{1,5,7}:{(79,1),(80,1),(81,1),(96,1)}
        90:{1,4,6}:{(80,1),(82,1),(83,1),(96,1),(97,1)}
        91:{4,7}:{(81,1),(82,1)}
        92:{3,5}:{(83,1),(85,1),(97,1),(98,1)}
        93:{3}:{(84,1)}
        94:{2,4}:{(85,1),(98,1),(100,1)}
        95:{1,4}:{(86,1),(87,1),(99,1)}
        96:{1,4,7}:{(89,1),(90,1),(91,1),(101,1)}
        97:{3,6}:{(90,1),(92,1),(101,1),(102,1)}
        98:{2,5}:{(92,1),(94,1),(102,1)}
        99:{1,3}:{(93,1),(95,1),(103,1)}
       100:{2,3}:{(93,1),(94,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{2,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{2,7}:{(101,1),(102,1)}

 259 :   0:{1,6,7}:{(3,1),(5,1),(84,1)}
         1:{1,5,6}:{(4,1),(5,1),(6,1),(47,1),(52,1),(84,1)}
         2:{1,4,5}:{(6,1),(7,1),(21,1),(24,1),(52,1)}
         3:{3,6,7}:{(0,1),(8,1),(10,1),(11,1),(68,1)}
         4:{3,5,6}:{(1,1),(9,1),(11,1),(12,1),(15,1),(32,1),(34,1),(36,1),(68,1)}
         5:{1,5,7}:{(0,1),(1,1),(11,1),(14,1),(64,1)}
         6:{1,4,6}:{(1,1),(2,1),(12,1),(14,1),(15,1)}
         7:{3,5}:{(2,1),(13,1),(15,1),(17,1)}
         8:{2,6,7}:{(3,1),(18,1),(85,1)}
         9:{2,5,6}:{(4,1),(18,1),(19,1),(28,1),(53,1),(85,1)}
        10:{4,6,7}:{(3,1),(20,1),(22,1),(50,1)}
        11:{3,5,7}:{(3,1),(4,1),(5,1),(18,1),(20,1),(22,1),(26,1),(46,1)}
        12:{4,6}:{(4,1),(21,1),(22,1)}
        13:{3,4}:{(7,1),(24,1),(25,1),(57,1)}
        14:{1,4,7}:{(5,1),(6,1),(22,1),(26,1)}
        15:{3,6}:{(6,1),(7,1),(26,1),(28,1)}
        16:{1,3,5}:{(7,1),(24,1),(27,1),(29,1),(52,1),(57,1),(87,1)}
        17:{2,5}:{(7,1),(25,1),(28,1)}
        18:{2,5,7}:{(8,1),(9,1),(11,1),(31,1),(42,1)}
        19:{2,4,6}:{(9,1),(12,1),(30,1),(31,1),(32,1)}
        20:{5,7}:{(10,1),(34,1)}
        21:{4,5}:{(12,1),(36,1),(102,1)}
        22:{4,7}:{(11,1),(12,1)}
        23:{3,4,6}:{(12,1),(13,1),(15,1),(32,1),(36,1),(37,1),(38,1),(39,1),(61,1),(68,1),(73,1),(102,1),(129,1)}
        24:{1,4}:{(13,1),(16,1),(102,1)}
        25:{2,4}:{(13,1),(17,1),(33,1)}
        26:{3,7}:{(14,1),(15,1),(42,1)}
        27:{1,3,6}:{(15,1),(16,1),(38,1),(41,1),(43,1),(73,1),(94,1)}
        28:{2,6}:{(15,1),(17,1),(42,1)}
        29:{1,2,5}:{(16,1),(17,1),(40,1),(43,1),(44,1),(99,1)}
        30:{2,4,5}:{(19,1),(21,1),(45,1),(53,1),(79,1)}
        31:{2,4,7}:{(18,1),(19,1),(22,1),(46,1)}
        32:{3,6}:{(19,1),(45,1),(46,1),(47,1)}
        33:{2,3}:{(25,1),(49,1),(57,1)}
        34:{5,6}:{(20,1),(50,1),(140,1)}
        35:{4,5,7}:{(20,1),(21,1),(22,1),(50,1),(51,1),(116,1),(140,1)}
        36:{3,5}:{(21,1),(23,1),(52,1),(53,1),(140,1)}
        37:{3,4,7}:{(22,1),(23,1),(26,1),(46,1),(51,1),(54,1),(55,1),(88,1),(116,1)}
        38:{1,4,6}:{(23,1),(24,1),(27,1),(47,1),(52,1),(54,1),(78,1),(84,1)}
        39:{2,4,6}:{(23,1),(25,1),(28,1),(48,1),(53,1),(55,1),(79,1),(85,1)}
        40:{1,2,4}:{(24,1),(25,1),(29,1),(49,1),(57,1),(60,1),(83,1)}
        41:{1,3,7}:{(26,1),(27,1),(54,1),(58,1),(88,1)}
        42:{2,7}:{(26,1),(28,1)}
        43:{1,2,6}:{(27,1),(28,1),(29,1),(58,1),(59,1),(109,1),(114,1)}
        44:{2,3,5}:{(29,1),(57,1),(59,1),(60,1),(87,1),(90,1),(92,1)}
        45:{3,5}:{(30,1),(32,1),(61,1),(62,1)}
        46:{3,7}:{(31,1),(32,1),(64,1)}
        47:{1,6}:{(32,1),(62,1),(64,1)}
        48:{2,3,6}:{(32,1),(33,1),(39,1),(63,1),(65,1),(66,1),(73,1)}
        49:{1,2}:{(33,1),(67,1)}
        50:{4,6}:{(34,1),(35,1),(68,1)}
        51:{3,5,7}:{(35,1),(36,1),(37,1),(68,1),(69,1),(70,1)}
        52:{1,5}:{(36,1),(38,1)}
        53:{2,5}:{(36,1),(39,1)}
        54:{1,4,7}:{(37,1),(38,1),(41,1),(64,1),(69,1)}
        55:{2,4,7}:{(37,1),(39,1),(42,1),(65,1),(70,1)}
        56:{1,2,4,6}:{(38,1),(39,1),(40,1),(43,1),(66,1),(71,1),(72,1),(73,1),(76,1),(95,1),(98,1),(100,1),(102,1),(129,1)}
        57:{3}:{(40,1)}
        58:{1,2,7}:{(41,1),(42,1),(43,1),(75,1),(128,1)}
        59:{2,3,6}:{(43,1),(44,1),(73,1),(75,1),(76,1),(105,1),(123,1)}
        60:{2,4}:{(44,1),(74,1),(102,1)}
        61:{3,4}:{(45,1),(78,1),(79,1),(110,1)}
        62:{1,5}:{(45,1),(47,1),(78,1)}
        63:{2,3,5}:{(45,1),(48,1),(53,1),(79,1),(80,1),(87,1),(110,1)}
        64:{1,7}:{(46,1),(47,1)}
        65:{2,3,7}:{(46,1),(48,1),(55,1),(81,1),(88,1)}
        66:{1,2,6}:{(47,1),(48,1),(49,1),(80,1),(81,1),(82,1),(150,1)}
        67:{1,3}:{(49,1),(57,1),(83,1)}
        68:{3,6}:{(50,1),(51,1),(84,1),(85,1)}
        69:{1,5,7}:{(51,1),(52,1),(54,1),(84,1)}
        70:{2,5,7}:{(51,1),(53,1),(55,1),(85,1)}
        71:{1,2,5}:{(52,1),(53,1),(56,1),(87,1),(92,1),(113,1),(140,1)}
        72:{1,2,4,7}:{(54,1),(55,1),(56,1),(58,1),(81,1),(86,1),(88,1),(91,1),(112,1),(116,1)}
        73:{3,6}:{(56,1),(57,1),(87,1),(88,1),(110,1)}
        74:{3,4}:{(57,1),(60,1),(83,1),(90,1)}
        75:{2,3,7}:{(58,1),(59,1),(88,1),(91,1),(120,1)}
        76:{2,4,6}:{(59,1),(60,1),(89,1),(91,1),(92,1),(121,1),(135,1),(150,1)}
        77:{2,4,5}:{(60,1),(90,1),(92,1),(93,1),(117,1)}
        78:{1,4}:{(61,1),(62,1),(94,1)}
        79:{2,4}:{(61,1),(63,1),(102,1)}
        80:{1,2,5}:{(62,1),(63,1),(66,1),(95,1),(96,1),(144,1)}
        81:{1,2,7}:{(64,1),(65,1),(66,1),(97,1),(153,1)}
        82:{1,3,6}:{(66,1),(67,1),(73,1),(96,1),(97,1),(98,1),(145,1)}
        83:{1,4}:{(67,1),(74,1),(99,1)}
        84:{1,6}:{(68,1),(69,1)}
        85:{2,6}:{(68,1),(70,1)}
        86:{1,2,5,7}:{(69,1),(70,1),(71,1),(72,1),(100,1),(101,1),(106,1),(126,1)}
        87:{3,5}:{(71,1),(73,1),(102,1)}
        88:{3,7}:{(72,1),(73,1)}
        89:{3,4,6}:{(73,1),(74,1),(76,1),(98,1),(102,1),(103,1),(104,1),(105,1),(124,1),(129,1),(131,1),(132,1),(145,1)}
        90:{3,5}:{(74,1),(77,1),(99,1),(105,1)}
        91:{2,4,7}:{(75,1),(76,1),(103,1),(106,1),(153,1)}
        92:{2,5}:{(76,1),(104,1)}
        93:{2,4,6}:{(77,1),(105,1),(107,1),(108,1),(131,1)}
        94:{1,3}:{(78,1),(109,1),(110,1)}
        95:{1,2,4}:{(78,1),(79,1),(80,1),(109,1),(110,1),(111,1),(135,1)}
        96:{1,3,5}:{(80,1),(82,1),(87,1),(110,1),(111,1),(113,1),(136,1)}
        97:{1,3,7}:{(81,1),(82,1),(88,1),(112,1),(151,1)}
        98:{1,4,6}:{(82,1),(83,1),(89,1),(111,1),(112,1),(113,1),(114,1),(138,1)}
        99:{1,5}:{(83,1),(90,1),(114,1)}
       100:{1,2,6}:{(84,1),(85,1),(86,1),(115,1),(121,1),(138,1)}
       101:{3,5,7}:{(86,1),(87,1),(88,1),(115,1),(116,1),(140,1)}
       102:{4}:{(87,1)}
       103:{3,4,7}:{(88,1),(89,1),(91,1),(112,1),(116,1),(118,1),(120,1),(142,1),(151,1)}
       104:{3,5}:{(89,1),(92,1),(113,1),(117,1),(140,1)}
       105:{3,6}:{(90,1),(93,1),(114,1),(120,1)}
       106:{2,5,7}:{(91,1),(92,1),(118,1),(121,1)}
       107:{2,5,6}:{(92,1),(93,1),(119,1),(121,1),(122,1),(150,1)}
       108:{2,4,7}:{(93,1),(120,1),(122,1),(142,1)}
       109:{1,2}:{(94,1),(123,1)}
       110:{3}:{(95,1)}
       111:{1,4}:{(96,1),(102,1),(124,1)}
       112:{1,4,7}:{(97,1),(98,1),(103,1),(126,1),(128,1)}
       113:{1,5}:{(98,1),(104,1)}
       114:{1,6}:{(99,1),(105,1),(128,1)}
       115:{3,6}:{(100,1),(101,1),(129,1)}
       116:{4,7}:{(101,1),(102,1),(129,1)}
       117:{4,5}:{(102,1),(104,1),(131,1)}
       118:{3,5,7}:{(103,1),(104,1),(106,1),(126,1),(130,1),(132,1)}
       119:{3,5,6}:{(104,1),(105,1),(107,1),(127,1),(131,1),(132,1),(133,1),(145,1),(148,1)}
       120:{3,7}:{(105,1),(108,1),(128,1)}
       121:{2,6}:{(106,1),(132,1)}
       122:{2,5,7}:{(107,1),(108,1),(133,1),(134,1),(153,1)}
       123:{2,3}:{(109,1),(110,1),(135,1)}
       124:{3,4}:{(110,1),(111,1),(135,1),(136,1)}
       125:{1,4,5}:{(111,1),(113,1),(117,1),(136,1),(137,1)}
       126:{1,5,7}:{(112,1),(113,1),(118,1),(138,1)}
       127:{1,5,6}:{(113,1),(114,1),(119,1),(137,1),(138,1),(139,1)}
       128:{1,7}:{(114,1),(120,1)}
       129:{4,6}:{(115,1),(116,1),(140,1)}
       130:{4,5,7}:{(116,1),(117,1),(118,1),(140,1),(141,1),(142,1),(152,1)}
       131:{4,6}:{(117,1),(119,1),(142,1)}
       132:{3,6}:{(118,1),(121,1),(138,1),(141,1)}
       133:{3,5,7}:{(119,1),(120,1),(122,1),(139,1),(142,1),(143,1),(151,1),(152,1)}
       134:{2,6,7}:{(121,1),(122,1),(143,1)}
       135:{2,4}:{(123,1),(124,1),(144,1)}
       136:{3,5}:{(124,1),(125,1),(144,1),(145,1)}
       137:{1,4,6}:{(125,1),(127,1),(131,1),(145,1),(146,1)}
       138:{1,6}:{(126,1),(132,1)}
       139:{1,5,7}:{(127,1),(128,1),(133,1),(146,1),(147,1)}
       140:{5}:{(129,1)}
       141:{4,6}:{(130,1),(132,1),(148,1)}
       142:{4,7}:{(131,1),(133,1)}
       143:{3,6,7}:{(132,1),(133,1),(134,1),(147,1),(149,1)}
       144:{2,5}:{(135,1),(136,1),(150,1)}
       145:{3,6}:{(136,1),(137,1),(150,1),(151,1)}
       146:{1,4,7}:{(137,1),(139,1),(142,1),(151,1)}
       147:{1,6,7}:{(138,1),(139,1),(143,1)}
       148:{5,6}:{(140,1),(141,1),(152,1)}
       149:{4,6,7}:{(141,1),(142,1),(143,1),(152,1)}
       150:{2,6}:{(144,1),(145,1),(153,1)}
       151:{3,7}:{(145,1),(146,1),(153,1)}
       152:{5,7}:{(148,1),(149,1)}
       153:{2,7}:{(150,1),(151,1)}

 260 :   0:{1,4,5,7}:{(1,1),(2,1),(9,1),(13,1),(33,1),(35,1),(37,1)}
         1:{3,5,7}:{(0,1),(3,1),(6,1),(7,1),(22,1)}
         2:{1,4,6}:{(0,1),(7,1),(8,1),(28,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(11,1),(31,1),(37,1),(60,1)}
         4:{1,4,6,7}:{(2,1),(12,1),(13,1),(37,1)}
         5:{1,3,5,7}:{(1,1),(9,1),(14,1),(15,1),(31,1),(33,1),(58,1)}
         6:{2,5,7}:{(1,1),(10,1),(16,1),(34,1)}
         7:{3,6}:{(1,1),(2,1),(16,1)}
         8:{1,5,6}:{(2,1),(13,1),(17,1),(33,1),(63,1)}
         9:{1,4,7}:{(3,1),(5,1),(20,1),(71,1),(73,1)}
        10:{2,4,7}:{(3,1),(6,1),(18,1),(21,1)}
        11:{3,4,6}:{(3,1),(7,1),(20,1),(21,1),(22,1),(28,1),(45,1),(51,1),(68,1),(71,1)}
        12:{3,6,7}:{(4,1),(7,1),(23,1),(24,1)}
        13:{1,5,7}:{(4,1),(8,1),(24,1),(73,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(19,1),(25,1),(26,1),(46,1),(64,1)}
        15:{1,3,6}:{(5,1),(7,1),(20,1),(26,1),(45,1),(89,1)}
        16:{2,6}:{(6,1),(7,1)}
        17:{3,5,6}:{(7,1),(8,1),(22,1),(24,1),(27,1),(28,1),(51,1)}
        18:{2,3,7}:{(10,1),(29,1),(30,1),(31,1),(60,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(14,1),(29,1),(31,1),(32,1),(38,1),(52,1)}
        20:{1,4,6}:{(9,1),(11,1),(15,1),(33,1),(63,1),(80,1)}
        21:{2,4,6}:{(10,1),(11,1),(16,1),(30,1),(34,1),(55,1)}
        22:{3,5}:{(11,1),(33,1),(34,1),(35,1)}
        23:{2,6,7}:{(12,1),(16,1),(36,1)}
        24:{3,5,7}:{(12,1),(13,1),(17,1),(36,1),(37,1),(60,1)}
        25:{2,3,5,7}:{(14,1),(31,1),(38,1),(39,1),(56,1),(58,1),(62,1)}
        26:{1,2,6}:{(14,1),(15,1),(16,1),(39,1),(76,1),(97,1)}
        27:{2,5,6}:{(16,1),(17,1),(34,1),(36,1),(40,1)}
        28:{4,6}:{(17,1),(35,1),(37,1)}
        29:{1,2,7}:{(18,1),(41,1),(42,1),(73,1),(104,1)}
        30:{2,3,6}:{(18,1),(21,1),(42,1),(43,1),(45,1),(51,1)}
        31:{3,7}:{(19,1),(45,1)}
        32:{1,2,4,6}:{(19,1),(20,1),(21,1),(26,1),(42,1),(45,1),(46,1),(50,1),(65,1),(67,1),(71,1)}
        33:{1,5}:{(20,1),(22,1)}
        34:{2,5}:{(21,1),(22,1)}
        35:{4,5}:{(22,1),(28,1),(71,1)}
        36:{2,5,7}:{(23,1),(24,1),(27,1),(48,1)}
        37:{4,7}:{(24,1),(28,1)}
        38:{2,4,7}:{(25,1),(44,1),(50,1),(71,1),(104,1)}
        39:{2,3,6}:{(25,1),(26,1),(45,1),(50,1),(69,1),(90,1)}
        40:{2,4,6}:{(27,1),(28,1),(47,1),(48,1),(51,1)}
        41:{1,3,7}:{(29,1),(31,1),(52,1),(53,1),(102,1)}
        42:{1,2,6}:{(29,1),(30,1),(53,1),(54,1),(63,1),(103,1)}
        43:{2,3,5}:{(30,1),(34,1),(54,1),(55,1),(58,1),(59,1),(79,1)}
        44:{3,4,7}:{(31,1),(38,1),(52,1),(56,1),(57,1),(98,1),(102,1)}
        45:{3,6}:{(31,1),(32,1),(58,1),(79,1)}
        46:{1,2,5}:{(32,1),(33,1),(34,1),(58,1),(62,1),(77,1)}
        47:{2,4,5}:{(34,1),(35,1),(40,1),(55,1),(59,1)}
        48:{2,4,7}:{(36,1),(37,1),(40,1),(60,1)}
        49:{2,4,5,7}:{(38,1),(56,1),(61,1),(62,1),(83,1),(84,1),(98,1)}
        50:{2,4,6}:{(38,1),(39,1),(57,1),(62,1),(96,1),(103,1)}
        51:{3,6}:{(40,1),(59,1),(60,1),(63,1)}
        52:{1,4,7}:{(41,1),(44,1),(64,1),(65,1)}
        53:{1,3,6}:{(41,1),(42,1),(45,1),(65,1),(66,1),(100,1)}
        54:{1,2,5}:{(42,1),(43,1),(66,1),(67,1),(72,1),(101,1)}
        55:{2,4}:{(43,1),(68,1),(71,1)}
        56:{3,5,7}:{(44,1),(49,1),(64,1),(69,1),(70,1)}
        57:{3,4,6}:{(44,1),(45,1),(50,1),(65,1),(69,1),(70,1),(71,1),(88,1),(92,1),(100,1)}
        58:{3,5}:{(45,1),(46,1),(71,1)}
        59:{3,5}:{(47,1),(51,1),(68,1),(72,1)}
        60:{3,7}:{(48,1),(51,1),(73,1)}
        61:{2,4,6}:{(49,1),(69,1),(75,1),(92,1)}
        62:{2,5}:{(50,1),(70,1)}
        63:{1,6}:{(51,1),(72,1),(73,1)}
        64:{1,5,7}:{(52,1),(56,1),(76,1),(77,1)}
        65:{1,4,6}:{(52,1),(53,1),(57,1),(76,1),(77,1),(78,1)}
        66:{1,3,5}:{(53,1),(54,1),(58,1),(77,1),(78,1),(79,1),(95,1)}
        67:{1,2,4}:{(54,1),(55,1),(78,1),(79,1),(80,1),(96,1),(97,1)}
        68:{3,4}:{(55,1),(59,1),(79,1),(80,1)}
        69:{3,6}:{(56,1),(61,1),(76,1)}
        70:{3,5}:{(57,1),(62,1),(77,1),(83,1)}
        71:{4}:{(58,1)}
        72:{1,5}:{(59,1),(63,1),(80,1)}
        73:{1,7}:{(60,1),(63,1)}
        74:{2,4,6,7}:{(61,1),(81,1),(84,1),(98,1)}
        75:{2,5,6}:{(61,1),(62,1),(82,1),(84,1),(103,1)}
        76:{1,6}:{(64,1),(69,1)}
        77:{1,5}:{(65,1),(70,1)}
        78:{1,4}:{(66,1),(71,1),(88,1)}
        79:{3}:{(67,1)}
        80:{1,4}:{(68,1),(72,1),(89,1)}
        81:{3,6,7}:{(69,1),(74,1),(85,1),(91,1)}
        82:{3,5,6}:{(69,1),(70,1),(75,1),(86,1),(91,1),(92,1),(100,1)}
        83:{4,5}:{(70,1),(71,1),(92,1)}
        84:{2,5,7}:{(74,1),(75,1),(91,1),(104,1)}
        85:{1,6,7}:{(76,1),(81,1),(93,1)}
        86:{1,5,6}:{(76,1),(77,1),(82,1),(93,1),(94,1)}
        87:{1,4,5}:{(77,1),(78,1),(83,1),(94,1),(95,1)}
        88:{3,4}:{(78,1),(79,1),(95,1),(96,1)}
        89:{1,3}:{(79,1),(80,1),(97,1)}
        90:{2,3}:{(79,1),(96,1),(97,1)}
        91:{3,5,7}:{(81,1),(82,1),(84,1),(93,1),(98,1),(102,1)}
        92:{4,6}:{(82,1),(83,1),(98,1)}
        93:{1,5,7}:{(85,1),(86,1),(91,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(92,1),(99,1),(100,1)}
        95:{3,5}:{(87,1),(88,1),(100,1),(101,1)}
        96:{2,4}:{(88,1),(90,1),(101,1)}
        97:{1,2}:{(89,1),(90,1)}
        98:{4,7}:{(91,1),(92,1)}
        99:{1,4,7}:{(93,1),(94,1),(98,1),(102,1)}
       100:{3,6}:{(94,1),(95,1),(102,1),(103,1)}
       101:{2,5}:{(95,1),(96,1),(103,1)}
       102:{3,7}:{(99,1),(100,1),(104,1)}
       103:{2,6}:{(100,1),(101,1),(104,1)}
       104:{2,7}:{(102,1),(103,1)}

 261 :   0:{1,4,6,7}:{(1,1),(2,1),(9,1),(10,1)}
         1:{3,6,7}:{(0,1),(3,1),(4,1),(16,1)}
         2:{1,5,7}:{(0,1),(4,1),(5,1),(30,1)}
         3:{2,6,7}:{(1,1),(7,1),(26,1)}
         4:{3,5,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(20,1)}
         5:{1,5,6}:{(2,1),(8,1),(10,1),(39,1),(42,1)}
         6:{1,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(21,1),(23,1),(42,1)}
         7:{2,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{3,5,6}:{(4,1),(5,1),(12,1),(14,1),(16,1),(29,1),(32,1)}
         9:{4,7}:{(4,1),(14,1)}
        10:{1,4,6}:{(5,1),(6,1),(14,1),(16,1)}
        11:{3,5,7}:{(6,1),(15,1),(16,1),(18,1),(32,1)}
        12:{2,5,6}:{(7,1),(8,1),(19,1),(26,1),(43,1)}
        13:{2,4,7}:{(7,1),(9,1),(19,1),(20,1)}
        14:{4,6}:{(8,1),(9,1),(21,1)}
        15:{3,4,7}:{(9,1),(11,1),(20,1),(22,1),(23,1),(24,1),(45,1)}
        16:{3,6}:{(10,1),(11,1),(26,1)}
        17:{1,3,5,7}:{(11,1),(23,1),(25,1),(27,1),(42,1),(45,1),(63,1)}
        18:{2,5,7}:{(11,1),(24,1),(26,1),(43,1)}
        19:{2,4,6}:{(12,1),(13,1),(14,1),(28,1),(29,1)}
        20:{3,7}:{(13,1),(29,1),(30,1)}
        21:{4,5}:{(14,1),(32,1),(73,1)}
        22:{3,4,6}:{(14,1),(15,1),(16,1),(29,1),(32,1),(33,1),(34,1),(48,1),(54,1),(73,1)}
        23:{1,4,7}:{(15,1),(17,1),(30,1),(33,1),(73,1)}
        24:{2,4,7}:{(15,1),(18,1),(31,1),(34,1)}
        25:{1,3,6}:{(16,1),(17,1),(33,1),(36,1),(54,1),(68,1)}
        26:{2,6}:{(16,1),(18,1)}
        27:{1,2,5,7}:{(17,1),(18,1),(35,1),(36,1),(37,1),(53,1),(72,1)}
        28:{2,4,5}:{(19,1),(21,1),(38,1),(43,1),(59,1)}
        29:{3,6}:{(19,1),(20,1),(38,1),(39,1)}
        30:{1,7}:{(20,1),(39,1)}
        31:{2,3,7}:{(20,1),(24,1),(40,1),(41,1),(45,1)}
        32:{3,5}:{(21,1),(22,1),(42,1),(43,1)}
        33:{1,4,6}:{(22,1),(23,1),(25,1),(39,1),(42,1),(58,1)}
        34:{2,4,6}:{(22,1),(24,1),(26,1),(40,1),(43,1),(59,1)}
        35:{1,2,4,7}:{(23,1),(24,1),(27,1),(41,1),(44,1),(45,1),(47,1),(62,1)}
        36:{1,2,6}:{(25,1),(26,1),(27,1),(46,1),(78,1),(82,1)}
        37:{2,3,5,7}:{(27,1),(45,1),(46,1),(47,1),(63,1),(65,1),(66,1)}
        38:{3,5}:{(28,1),(29,1),(48,1),(49,1)}
        39:{1,6}:{(29,1),(30,1),(49,1)}
        40:{2,3,6}:{(29,1),(31,1),(34,1),(50,1),(51,1),(54,1)}
        41:{1,2,7}:{(30,1),(31,1),(51,1),(52,1),(104,1)}
        42:{1,5}:{(32,1),(33,1)}
        43:{2,5}:{(32,1),(34,1)}
        44:{1,2,4,6}:{(33,1),(34,1),(35,1),(36,1),(51,1),(53,1),(54,1),(56,1),(69,1),(71,1),(73,1)}
        45:{3,7}:{(35,1),(54,1)}
        46:{2,3,6}:{(36,1),(37,1),(54,1),(56,1),(75,1),(87,1)}
        47:{2,4,7}:{(37,1),(55,1),(56,1),(73,1),(104,1)}
        48:{3,4}:{(38,1),(58,1),(59,1),(79,1)}
        49:{1,5}:{(38,1),(39,1),(58,1)}
        50:{2,3,5}:{(38,1),(40,1),(43,1),(59,1),(60,1),(63,1),(79,1)}
        51:{1,2,6}:{(39,1),(40,1),(41,1),(60,1),(61,1),(102,1)}
        52:{1,3,7}:{(41,1),(45,1),(61,1),(62,1),(103,1)}
        53:{1,2,5}:{(42,1),(43,1),(44,1),(63,1),(66,1),(81,1)}
        54:{3,6}:{(44,1),(45,1),(63,1),(79,1)}
        55:{3,4,7}:{(45,1),(47,1),(62,1),(64,1),(65,1),(98,1),(103,1)}
        56:{2,4,6}:{(46,1),(47,1),(64,1),(66,1),(94,1),(102,1)}
        57:{2,4,5,7}:{(47,1),(65,1),(66,1),(67,1),(83,1),(86,1),(98,1)}
        58:{1,4}:{(48,1),(49,1),(68,1)}
        59:{2,4}:{(48,1),(50,1),(73,1)}
        60:{1,2,5}:{(49,1),(50,1),(51,1),(69,1),(70,1),(99,1)}
        61:{1,3,6}:{(51,1),(52,1),(54,1),(70,1),(71,1),(100,1)}
        62:{1,4,7}:{(52,1),(55,1),(71,1),(72,1)}
        63:{3,5}:{(53,1),(54,1),(73,1)}
        64:{3,4,6}:{(54,1),(55,1),(56,1),(71,1),(73,1),(74,1),(75,1),(88,1),(92,1),(100,1)}
        65:{3,5,7}:{(55,1),(57,1),(72,1),(74,1),(75,1)}
        66:{2,5}:{(56,1),(74,1)}
        67:{2,4,6}:{(57,1),(75,1),(76,1),(92,1)}
        68:{1,3}:{(58,1),(78,1),(79,1)}
        69:{1,2,4}:{(58,1),(59,1),(60,1),(78,1),(79,1),(80,1),(94,1)}
        70:{1,3,5}:{(60,1),(61,1),(63,1),(79,1),(80,1),(81,1),(95,1)}
        71:{1,4,6}:{(61,1),(62,1),(64,1),(80,1),(81,1),(82,1)}
        72:{1,5,7}:{(62,1),(65,1),(81,1),(82,1)}
        73:{4}:{(63,1)}
        74:{3,5}:{(64,1),(66,1),(81,1),(83,1)}
        75:{3,6}:{(65,1),(67,1),(82,1)}
        76:{2,5,6}:{(66,1),(67,1),(84,1),(86,1),(102,1)}
        77:{2,4,6,7}:{(67,1),(85,1),(86,1),(98,1)}
        78:{1,2}:{(68,1),(87,1)}
        79:{3}:{(69,1)}
        80:{1,4}:{(70,1),(73,1),(88,1)}
        81:{1,5}:{(71,1),(74,1)}
        82:{1,6}:{(72,1),(75,1)}
        83:{4,5}:{(73,1),(74,1),(92,1)}
        84:{3,5,6}:{(74,1),(75,1),(76,1),(90,1),(92,1),(93,1),(100,1)}
        85:{3,6,7}:{(75,1),(77,1),(91,1),(93,1)}
        86:{2,5,7}:{(76,1),(77,1),(93,1),(104,1)}
        87:{2,3}:{(78,1),(79,1),(94,1)}
        88:{3,4}:{(79,1),(80,1),(94,1),(95,1)}
        89:{1,4,5}:{(80,1),(81,1),(83,1),(95,1),(96,1)}
        90:{1,5,6}:{(81,1),(82,1),(84,1),(96,1),(97,1)}
        91:{1,6,7}:{(82,1),(85,1),(97,1)}
        92:{4,6}:{(83,1),(84,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(86,1),(97,1),(98,1),(103,1)}
        94:{2,4}:{(87,1),(88,1),(99,1)}
        95:{3,5}:{(88,1),(89,1),(99,1),(100,1)}
        96:{1,4,6}:{(89,1),(90,1),(92,1),(100,1),(101,1)}
        97:{1,5,7}:{(90,1),(91,1),(93,1),(101,1)}
        98:{4,7}:{(92,1),(93,1)}
        99:{2,5}:{(94,1),(95,1),(102,1)}
       100:{3,6}:{(95,1),(96,1),(102,1),(103,1)}
       101:{1,4,7}:{(96,1),(97,1),(98,1),(103,1)}
       102:{2,6}:{(99,1),(100,1),(104,1)}
       103:{3,7}:{(100,1),(101,1),(104,1)}
       104:{2,7}:{(102,1),(103,1)}

 262 :   0:{2,3,5,7}:{(2,1),(3,1),(4,1),(5,1),(18,1),(22,1),(48,1)}
         1:{2,4,5,7}:{(3,1),(5,1),(6,1),(22,1),(26,1),(50,1),(53,1)}
         2:{1,2,5,7}:{(0,1),(7,1),(8,1),(9,1),(12,1),(33,1),(54,1)}
         3:{2,4,7}:{(0,1),(10,1),(11,1),(63,1),(88,1)}
         4:{2,3,6}:{(0,1),(9,1),(11,1),(13,1),(32,1),(100,1)}
         5:{3,5,7}:{(1,1),(10,1),(12,1),(13,1),(35,1)}
         6:{2,4,6}:{(1,1),(13,1),(15,1),(39,1)}
         7:{1,3,5,7}:{(2,1),(16,1),(17,1),(18,1),(40,1),(44,1),(48,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(16,1),(18,1),(19,1),(20,1),(42,1),(45,1)}
         9:{1,2,6}:{(2,1),(4,1),(17,1),(23,1),(67,1),(103,1)}
        10:{3,4,7}:{(3,1),(5,1),(18,1),(20,1),(21,1),(53,1),(77,1)}
        11:{2,4,6}:{(3,1),(4,1),(21,1),(22,1),(78,1),(94,1)}
        12:{1,5,7}:{(5,1),(20,1),(23,1),(49,1)}
        13:{3,6}:{(5,1),(6,1),(23,1)}
        14:{2,4,6,7}:{(6,1),(24,1),(26,1),(53,1)}
        15:{2,5,6}:{(6,1),(22,1),(25,1),(26,1),(78,1)}
        16:{1,4,7}:{(7,1),(28,1),(29,1),(63,1),(104,1)}
        17:{1,3,6}:{(7,1),(9,1),(29,1),(32,1),(55,1),(99,1)}
        18:{3,7}:{(8,1),(32,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(11,1),(29,1),(32,1),(33,1),(34,1),(58,1),(60,1),(63,1),(84,1)}
        20:{1,4,7}:{(10,1),(12,1),(30,1),(34,1)}
        21:{3,4,6}:{(10,1),(11,1),(13,1),(32,1),(34,1),(35,1),(39,1),(63,1),(66,1),(85,1)}
        22:{2,5}:{(11,1),(35,1)}
        23:{1,6}:{(12,1),(13,1)}
        24:{3,6,7}:{(13,1),(14,1),(36,1),(38,1)}
        25:{3,5,6}:{(13,1),(15,1),(35,1),(37,1),(38,1),(39,1),(66,1)}
        26:{2,5,7}:{(14,1),(15,1),(38,1),(88,1)}
        27:{1,4,5,7}:{(16,1),(40,1),(41,1),(44,1),(70,1),(72,1),(91,1)}
        28:{3,4,7}:{(16,1),(18,1),(40,1),(42,1),(43,1),(91,1),(101,1)}
        29:{1,4,6}:{(16,1),(17,1),(43,1),(44,1),(95,1),(102,1)}
        30:{1,3,7}:{(18,1),(20,1),(45,1),(46,1),(77,1)}
        31:{2,3,7}:{(18,1),(42,1),(45,1),(47,1),(101,1)}
        32:{3,6}:{(18,1),(19,1),(48,1),(93,1)}
        33:{1,2,5}:{(19,1),(22,1),(44,1),(48,1),(49,1),(71,1)}
        34:{1,4,6}:{(20,1),(21,1),(23,1),(46,1),(49,1),(74,1)}
        35:{3,5}:{(21,1),(22,1),(49,1),(50,1)}
        36:{1,6,7}:{(23,1),(24,1),(51,1)}
        37:{1,5,6}:{(23,1),(25,1),(49,1),(51,1),(52,1)}
        38:{3,5,7}:{(24,1),(25,1),(26,1),(51,1),(53,1),(77,1)}
        39:{4,6}:{(25,1),(50,1),(53,1)}
        40:{3,5,7}:{(27,1),(28,1),(54,1),(55,1),(59,1)}
        41:{1,4,6}:{(27,1),(55,1),(57,1),(82,1)}
        42:{2,4,7}:{(28,1),(31,1),(54,1),(58,1)}
        43:{3,4,6}:{(28,1),(29,1),(32,1),(55,1),(58,1),(59,1),(63,1),(82,1),(86,1),(97,1)}
        44:{1,5}:{(29,1),(59,1)}
        45:{1,2,7}:{(30,1),(31,1),(60,1),(88,1),(104,1)}
        46:{1,3,6}:{(30,1),(32,1),(34,1),(60,1),(61,1),(66,1)}
        47:{2,3,6}:{(31,1),(32,1),(58,1),(60,1),(62,1),(97,1)}
        48:{3,5}:{(32,1),(33,1),(63,1)}
        49:{1,5}:{(34,1),(35,1)}
        50:{4,5}:{(35,1),(39,1),(63,1)}
        51:{1,5,7}:{(36,1),(37,1),(38,1),(65,1)}
        52:{1,4,6}:{(37,1),(39,1),(64,1),(65,1),(66,1)}
        53:{4,7}:{(38,1),(39,1)}
        54:{2,5,7}:{(40,1),(42,1),(67,1),(71,1)}
        55:{3,6}:{(40,1),(41,1),(67,1)}
        56:{1,4,6,7}:{(41,1),(68,1),(70,1),(91,1)}
        57:{1,5,6}:{(41,1),(44,1),(69,1),(70,1),(102,1)}
        58:{2,4,6}:{(42,1),(43,1),(47,1),(67,1),(71,1),(75,1)}
        59:{3,5}:{(43,1),(44,1),(71,1),(72,1)}
        60:{1,2,6}:{(45,1),(46,1),(47,1),(73,1),(78,1),(102,1)}
        61:{1,3,5}:{(46,1),(48,1),(49,1),(73,1),(74,1),(76,1),(93,1)}
        62:{2,3,5}:{(47,1),(48,1),(71,1),(73,1),(75,1),(92,1),(93,1)}
        63:{4}:{(48,1)}
        64:{1,4,5}:{(49,1),(50,1),(52,1),(74,1),(76,1)}
        65:{1,4,7}:{(51,1),(52,1),(53,1),(77,1)}
        66:{3,6}:{(52,1),(76,1),(77,1),(78,1)}
        67:{2,6}:{(54,1),(55,1)}
        68:{3,6,7}:{(55,1),(56,1),(79,1),(81,1)}
        69:{3,5,6}:{(55,1),(57,1),(59,1),(80,1),(81,1),(82,1),(97,1)}
        70:{1,5,7}:{(56,1),(57,1),(81,1),(104,1)}
        71:{2,5}:{(58,1),(59,1)}
        72:{4,5}:{(59,1),(63,1),(82,1)}
        73:{1,2,5}:{(60,1),(61,1),(62,1),(84,1),(87,1),(98,1)}
        74:{1,4}:{(61,1),(63,1),(85,1)}
        75:{2,4}:{(62,1),(63,1),(86,1)}
        76:{3,5}:{(64,1),(66,1),(85,1),(87,1)}
        77:{3,7}:{(65,1),(66,1),(88,1)}
        78:{2,6}:{(66,1),(87,1),(88,1)}
        79:{2,6,7}:{(67,1),(68,1),(89,1)}
        80:{2,5,6}:{(67,1),(69,1),(71,1),(89,1),(90,1)}
        81:{3,5,7}:{(68,1),(69,1),(70,1),(89,1),(91,1),(101,1)}
        82:{4,6}:{(69,1),(72,1),(91,1)}
        83:{2,4,5}:{(71,1),(72,1),(75,1),(90,1),(92,1)}
        84:{1,2,4}:{(73,1),(74,1),(75,1),(93,1),(94,1),(95,1),(103,1)}
        85:{3,4}:{(74,1),(76,1),(93,1),(94,1)}
        86:{3,4}:{(75,1),(92,1),(93,1),(95,1)}
        87:{2,5}:{(76,1),(78,1),(94,1)}
        88:{2,7}:{(77,1),(78,1)}
        89:{2,5,7}:{(79,1),(80,1),(81,1),(96,1)}
        90:{2,4,6}:{(80,1),(82,1),(83,1),(96,1),(97,1)}
        91:{4,7}:{(81,1),(82,1)}
        92:{3,5}:{(83,1),(86,1),(97,1),(98,1)}
        93:{3}:{(84,1)}
        94:{2,4}:{(85,1),(87,1),(100,1)}
        95:{1,4}:{(86,1),(98,1),(99,1)}
        96:{2,4,7}:{(89,1),(90,1),(91,1),(101,1)}
        97:{3,6}:{(90,1),(92,1),(101,1),(102,1)}
        98:{1,5}:{(92,1),(95,1),(102,1)}
        99:{1,3}:{(93,1),(95,1),(103,1)}
       100:{2,3}:{(93,1),(94,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{1,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{1,7}:{(101,1),(102,1)}

 263 :   0:{2,6,7}:{(3,1),(5,1),(85,1)}
         1:{2,5,6}:{(4,1),(5,1),(6,1),(48,1),(53,1),(85,1)}
         2:{2,4,5}:{(6,1),(7,1),(21,1),(25,1),(53,1)}
         3:{3,6,7}:{(0,1),(8,1),(10,1),(11,1),(68,1)}
         4:{3,5,6}:{(1,1),(9,1),(11,1),(12,1),(15,1),(32,1),(34,1),(36,1),(68,1)}
         5:{2,5,7}:{(0,1),(1,1),(11,1),(14,1),(65,1)}
         6:{2,4,6}:{(1,1),(2,1),(12,1),(14,1),(15,1)}
         7:{3,5}:{(2,1),(13,1),(15,1),(16,1)}
         8:{1,6,7}:{(3,1),(18,1),(84,1)}
         9:{1,5,6}:{(4,1),(18,1),(19,1),(27,1),(52,1),(84,1)}
        10:{4,6,7}:{(3,1),(20,1),(22,1),(50,1)}
        11:{3,5,7}:{(3,1),(4,1),(5,1),(18,1),(20,1),(22,1),(26,1),(46,1)}
        12:{4,6}:{(4,1),(21,1),(22,1)}
        13:{3,4}:{(7,1),(24,1),(25,1),(57,1)}
        14:{2,4,7}:{(5,1),(6,1),(22,1),(26,1)}
        15:{3,6}:{(6,1),(7,1),(26,1),(27,1)}
        16:{1,5}:{(7,1),(24,1),(27,1)}
        17:{2,3,5}:{(7,1),(25,1),(28,1),(29,1),(53,1),(57,1),(87,1)}
        18:{1,5,7}:{(8,1),(9,1),(11,1),(31,1),(41,1)}
        19:{1,4,6}:{(9,1),(12,1),(30,1),(31,1),(32,1)}
        20:{5,7}:{(10,1),(34,1)}
        21:{4,5}:{(12,1),(36,1),(102,1)}
        22:{4,7}:{(11,1),(12,1)}
        23:{3,4,6}:{(12,1),(13,1),(15,1),(32,1),(36,1),(37,1),(38,1),(39,1),(61,1),(68,1),(73,1),(102,1),(129,1)}
        24:{1,4}:{(13,1),(16,1),(33,1)}
        25:{2,4}:{(13,1),(17,1),(102,1)}
        26:{3,7}:{(14,1),(15,1),(41,1)}
        27:{1,6}:{(15,1),(16,1),(41,1)}
        28:{2,3,6}:{(15,1),(17,1),(39,1),(42,1),(43,1),(73,1),(94,1)}
        29:{1,2,5}:{(16,1),(17,1),(40,1),(43,1),(44,1),(99,1)}
        30:{1,4,5}:{(19,1),(21,1),(45,1),(52,1),(78,1)}
        31:{1,4,7}:{(18,1),(19,1),(22,1),(46,1)}
        32:{3,6}:{(19,1),(45,1),(46,1),(48,1)}
        33:{1,3}:{(24,1),(49,1),(57,1)}
        34:{5,6}:{(20,1),(50,1),(140,1)}
        35:{4,5,7}:{(20,1),(21,1),(22,1),(50,1),(51,1),(116,1),(140,1)}
        36:{3,5}:{(21,1),(23,1),(52,1),(53,1),(140,1)}
        37:{3,4,7}:{(22,1),(23,1),(26,1),(46,1),(51,1),(54,1),(55,1),(88,1),(116,1)}
        38:{1,4,6}:{(23,1),(24,1),(27,1),(47,1),(52,1),(54,1),(78,1),(84,1)}
        39:{2,4,6}:{(23,1),(25,1),(28,1),(48,1),(53,1),(55,1),(79,1),(85,1)}
        40:{1,2,4}:{(24,1),(25,1),(29,1),(49,1),(57,1),(60,1),(83,1)}
        41:{1,7}:{(26,1),(27,1)}
        42:{2,3,7}:{(26,1),(28,1),(55,1),(58,1),(88,1)}
        43:{1,2,6}:{(27,1),(28,1),(29,1),(58,1),(59,1),(109,1),(114,1)}
        44:{1,3,5}:{(29,1),(57,1),(59,1),(60,1),(87,1),(90,1),(92,1)}
        45:{3,5}:{(30,1),(32,1),(61,1),(63,1)}
        46:{3,7}:{(31,1),(32,1),(65,1)}
        47:{1,3,6}:{(32,1),(33,1),(38,1),(62,1),(64,1),(66,1),(73,1)}
        48:{2,6}:{(32,1),(63,1),(65,1)}
        49:{1,2}:{(33,1),(67,1)}
        50:{4,6}:{(34,1),(35,1),(68,1)}
        51:{3,5,7}:{(35,1),(36,1),(37,1),(68,1),(69,1),(70,1)}
        52:{1,5}:{(36,1),(38,1)}
        53:{2,5}:{(36,1),(39,1)}
        54:{1,4,7}:{(37,1),(38,1),(41,1),(64,1),(69,1)}
        55:{2,4,7}:{(37,1),(39,1),(42,1),(65,1),(70,1)}
        56:{1,2,4,6}:{(38,1),(39,1),(40,1),(43,1),(66,1),(71,1),(72,1),(73,1),(76,1),(95,1),(98,1),(100,1),(102,1),(129,1)}
        57:{3}:{(40,1)}
        58:{1,2,7}:{(41,1),(42,1),(43,1),(75,1),(128,1)}
        59:{1,3,6}:{(43,1),(44,1),(73,1),(75,1),(76,1),(105,1),(123,1)}
        60:{1,4}:{(44,1),(74,1),(102,1)}
        61:{3,4}:{(45,1),(78,1),(79,1),(110,1)}
        62:{1,3,5}:{(45,1),(47,1),(52,1),(78,1),(80,1),(87,1),(110,1)}
        63:{2,5}:{(45,1),(48,1),(79,1)}
        64:{1,3,7}:{(46,1),(47,1),(54,1),(81,1),(88,1)}
        65:{2,7}:{(46,1),(48,1)}
        66:{1,2,6}:{(47,1),(48,1),(49,1),(80,1),(81,1),(82,1),(150,1)}
        67:{2,3}:{(49,1),(57,1),(83,1)}
        68:{3,6}:{(50,1),(51,1),(84,1),(85,1)}
        69:{1,5,7}:{(51,1),(52,1),(54,1),(84,1)}
        70:{2,5,7}:{(51,1),(53,1),(55,1),(85,1)}
        71:{1,2,5}:{(52,1),(53,1),(56,1),(87,1),(92,1),(113,1),(140,1)}
        72:{1,2,4,7}:{(54,1),(55,1),(56,1),(58,1),(81,1),(86,1),(88,1),(91,1),(112,1),(116,1)}
        73:{3,6}:{(56,1),(57,1),(87,1),(88,1),(110,1)}
        74:{3,4}:{(57,1),(60,1),(83,1),(90,1)}
        75:{1,3,7}:{(58,1),(59,1),(88,1),(91,1),(120,1)}
        76:{1,4,6}:{(59,1),(60,1),(89,1),(91,1),(92,1),(121,1),(135,1),(150,1)}
        77:{1,4,5}:{(60,1),(90,1),(92,1),(93,1),(117,1)}
        78:{1,4}:{(61,1),(62,1),(102,1)}
        79:{2,4}:{(61,1),(63,1),(94,1)}
        80:{1,2,5}:{(62,1),(63,1),(66,1),(95,1),(96,1),(144,1)}
        81:{1,2,7}:{(64,1),(65,1),(66,1),(97,1),(153,1)}
        82:{2,3,6}:{(66,1),(67,1),(73,1),(96,1),(97,1),(98,1),(145,1)}
        83:{2,4}:{(67,1),(74,1),(99,1)}
        84:{1,6}:{(68,1),(69,1)}
        85:{2,6}:{(68,1),(70,1)}
        86:{1,2,5,7}:{(69,1),(70,1),(71,1),(72,1),(100,1),(101,1),(106,1),(126,1)}
        87:{3,5}:{(71,1),(73,1),(102,1)}
        88:{3,7}:{(72,1),(73,1)}
        89:{3,4,6}:{(73,1),(74,1),(76,1),(98,1),(102,1),(103,1),(104,1),(105,1),(124,1),(129,1),(131,1),(132,1),(145,1)}
        90:{3,5}:{(74,1),(77,1),(99,1),(105,1)}
        91:{1,4,7}:{(75,1),(76,1),(103,1),(106,1),(153,1)}
        92:{1,5}:{(76,1),(104,1)}
        93:{1,4,6}:{(77,1),(105,1),(107,1),(108,1),(131,1)}
        94:{2,3}:{(79,1),(109,1),(110,1)}
        95:{1,2,4}:{(78,1),(79,1),(80,1),(109,1),(110,1),(111,1),(135,1)}
        96:{2,3,5}:{(80,1),(82,1),(87,1),(110,1),(111,1),(113,1),(136,1)}
        97:{2,3,7}:{(81,1),(82,1),(88,1),(112,1),(151,1)}
        98:{2,4,6}:{(82,1),(83,1),(89,1),(111,1),(112,1),(113,1),(114,1),(138,1)}
        99:{2,5}:{(83,1),(90,1),(114,1)}
       100:{1,2,6}:{(84,1),(85,1),(86,1),(115,1),(121,1),(138,1)}
       101:{3,5,7}:{(86,1),(87,1),(88,1),(115,1),(116,1),(140,1)}
       102:{4}:{(87,1)}
       103:{3,4,7}:{(88,1),(89,1),(91,1),(112,1),(116,1),(118,1),(120,1),(142,1),(151,1)}
       104:{3,5}:{(89,1),(92,1),(113,1),(117,1),(140,1)}
       105:{3,6}:{(90,1),(93,1),(114,1),(120,1)}
       106:{1,5,7}:{(91,1),(92,1),(118,1),(121,1)}
       107:{1,5,6}:{(92,1),(93,1),(119,1),(121,1),(122,1),(150,1)}
       108:{1,4,7}:{(93,1),(120,1),(122,1),(142,1)}
       109:{1,2}:{(94,1),(123,1)}
       110:{3}:{(95,1)}
       111:{2,4}:{(96,1),(102,1),(124,1)}
       112:{2,4,7}:{(97,1),(98,1),(103,1),(126,1),(128,1)}
       113:{2,5}:{(98,1),(104,1)}
       114:{2,6}:{(99,1),(105,1),(128,1)}
       115:{3,6}:{(100,1),(101,1),(129,1)}
       116:{4,7}:{(101,1),(102,1),(129,1)}
       117:{4,5}:{(102,1),(104,1),(131,1)}
       118:{3,5,7}:{(103,1),(104,1),(106,1),(126,1),(130,1),(132,1)}
       119:{3,5,6}:{(104,1),(105,1),(107,1),(127,1),(131,1),(132,1),(133,1),(145,1),(148,1)}
       120:{3,7}:{(105,1),(108,1),(128,1)}
       121:{1,6}:{(106,1),(132,1)}
       122:{1,5,7}:{(107,1),(108,1),(133,1),(134,1),(153,1)}
       123:{1,3}:{(109,1),(110,1),(135,1)}
       124:{3,4}:{(110,1),(111,1),(135,1),(136,1)}
       125:{2,4,5}:{(111,1),(113,1),(117,1),(136,1),(137,1)}
       126:{2,5,7}:{(112,1),(113,1),(118,1),(138,1)}
       127:{2,5,6}:{(113,1),(114,1),(119,1),(137,1),(138,1),(139,1)}
       128:{2,7}:{(114,1),(120,1)}
       129:{4,6}:{(115,1),(116,1),(140,1)}
       130:{4,5,7}:{(116,1),(117,1),(118,1),(140,1),(141,1),(142,1),(152,1)}
       131:{4,6}:{(117,1),(119,1),(142,1)}
       132:{3,6}:{(118,1),(121,1),(138,1),(141,1)}
       133:{3,5,7}:{(119,1),(120,1),(122,1),(139,1),(142,1),(143,1),(151,1),(152,1)}
       134:{1,6,7}:{(121,1),(122,1),(143,1)}
       135:{1,4}:{(123,1),(124,1),(144,1)}
       136:{3,5}:{(124,1),(125,1),(144,1),(145,1)}
       137:{2,4,6}:{(125,1),(127,1),(131,1),(145,1),(146,1)}
       138:{2,6}:{(126,1),(132,1)}
       139:{2,5,7}:{(127,1),(128,1),(133,1),(146,1),(147,1)}
       140:{5}:{(129,1)}
       141:{4,6}:{(130,1),(132,1),(148,1)}
       142:{4,7}:{(131,1),(133,1)}
       143:{3,6,7}:{(132,1),(133,1),(134,1),(147,1),(149,1)}
       144:{1,5}:{(135,1),(136,1),(150,1)}
       145:{3,6}:{(136,1),(137,1),(150,1),(151,1)}
       146:{2,4,7}:{(137,1),(139,1),(142,1),(151,1)}
       147:{2,6,7}:{(138,1),(139,1),(143,1)}
       148:{5,6}:{(140,1),(141,1),(152,1)}
       149:{4,6,7}:{(141,1),(142,1),(143,1),(152,1)}
       150:{1,6}:{(144,1),(145,1),(153,1)}
       151:{3,7}:{(145,1),(146,1),(153,1)}
       152:{5,7}:{(148,1),(149,1)}
       153:{1,7}:{(150,1),(151,1)}

 264 :   0:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(34,1),(35,1),(37,1)}
         1:{3,5,7}:{(0,1),(3,1),(5,1),(7,1),(22,1)}
         2:{2,4,6}:{(0,1),(7,1),(8,1),(28,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(11,1),(31,1),(37,1),(60,1)}
         4:{2,4,6,7}:{(2,1),(12,1),(13,1),(37,1)}
         5:{1,5,7}:{(1,1),(9,1),(15,1),(33,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(14,1),(16,1),(31,1),(34,1),(58,1)}
         7:{3,6}:{(1,1),(2,1),(15,1)}
         8:{2,5,6}:{(2,1),(13,1),(17,1),(34,1),(63,1)}
         9:{1,4,7}:{(3,1),(5,1),(18,1),(20,1)}
        10:{2,4,7}:{(3,1),(6,1),(21,1),(71,1),(73,1)}
        11:{3,4,6}:{(3,1),(7,1),(20,1),(21,1),(22,1),(28,1),(45,1),(51,1),(68,1),(71,1)}
        12:{3,6,7}:{(4,1),(7,1),(23,1),(24,1)}
        13:{2,5,7}:{(4,1),(8,1),(24,1),(73,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(19,1),(25,1),(26,1),(46,1),(64,1)}
        15:{1,6}:{(5,1),(7,1)}
        16:{2,3,6}:{(6,1),(7,1),(21,1),(26,1),(45,1),(90,1)}
        17:{3,5,6}:{(7,1),(8,1),(22,1),(24,1),(27,1),(28,1),(51,1)}
        18:{1,3,7}:{(9,1),(29,1),(30,1),(31,1),(60,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(14,1),(29,1),(31,1),(32,1),(38,1),(52,1)}
        20:{1,4,6}:{(9,1),(11,1),(15,1),(30,1),(33,1),(55,1)}
        21:{2,4,6}:{(10,1),(11,1),(16,1),(34,1),(63,1),(80,1)}
        22:{3,5}:{(11,1),(33,1),(34,1),(35,1)}
        23:{1,6,7}:{(12,1),(15,1),(36,1)}
        24:{3,5,7}:{(12,1),(13,1),(17,1),(36,1),(37,1),(60,1)}
        25:{1,3,5,7}:{(14,1),(31,1),(38,1),(39,1),(56,1),(58,1),(62,1)}
        26:{1,2,6}:{(14,1),(15,1),(16,1),(39,1),(76,1),(97,1)}
        27:{1,5,6}:{(15,1),(17,1),(33,1),(36,1),(40,1)}
        28:{4,6}:{(17,1),(35,1),(37,1)}
        29:{1,2,7}:{(18,1),(41,1),(42,1),(73,1),(104,1)}
        30:{1,3,6}:{(18,1),(20,1),(42,1),(43,1),(45,1),(51,1)}
        31:{3,7}:{(19,1),(45,1)}
        32:{1,2,4,6}:{(19,1),(20,1),(21,1),(26,1),(42,1),(45,1),(46,1),(50,1),(65,1),(67,1),(71,1)}
        33:{1,5}:{(20,1),(22,1)}
        34:{2,5}:{(21,1),(22,1)}
        35:{4,5}:{(22,1),(28,1),(71,1)}
        36:{1,5,7}:{(23,1),(24,1),(27,1),(48,1)}
        37:{4,7}:{(24,1),(28,1)}
        38:{1,4,7}:{(25,1),(44,1),(50,1),(71,1),(104,1)}
        39:{1,3,6}:{(25,1),(26,1),(45,1),(50,1),(69,1),(89,1)}
        40:{1,4,6}:{(27,1),(28,1),(47,1),(48,1),(51,1)}
        41:{2,3,7}:{(29,1),(31,1),(52,1),(53,1),(102,1)}
        42:{1,2,6}:{(29,1),(30,1),(53,1),(54,1),(63,1),(103,1)}
        43:{1,3,5}:{(30,1),(33,1),(54,1),(55,1),(58,1),(59,1),(79,1)}
        44:{3,4,7}:{(31,1),(38,1),(52,1),(56,1),(57,1),(98,1),(102,1)}
        45:{3,6}:{(31,1),(32,1),(58,1),(79,1)}
        46:{1,2,5}:{(32,1),(33,1),(34,1),(58,1),(62,1),(77,1)}
        47:{1,4,5}:{(33,1),(35,1),(40,1),(55,1),(59,1)}
        48:{1,4,7}:{(36,1),(37,1),(40,1),(60,1)}
        49:{1,4,5,7}:{(38,1),(56,1),(61,1),(62,1),(83,1),(84,1),(98,1)}
        50:{1,4,6}:{(38,1),(39,1),(57,1),(62,1),(96,1),(103,1)}
        51:{3,6}:{(40,1),(59,1),(60,1),(63,1)}
        52:{2,4,7}:{(41,1),(44,1),(64,1),(65,1)}
        53:{2,3,6}:{(41,1),(42,1),(45,1),(65,1),(66,1),(100,1)}
        54:{1,2,5}:{(42,1),(43,1),(66,1),(67,1),(72,1),(101,1)}
        55:{1,4}:{(43,1),(68,1),(71,1)}
        56:{3,5,7}:{(44,1),(49,1),(64,1),(69,1),(70,1)}
        57:{3,4,6}:{(44,1),(45,1),(50,1),(65,1),(69,1),(70,1),(71,1),(88,1),(92,1),(100,1)}
        58:{3,5}:{(45,1),(46,1),(71,1)}
        59:{3,5}:{(47,1),(51,1),(68,1),(72,1)}
        60:{3,7}:{(48,1),(51,1),(73,1)}
        61:{1,4,6}:{(49,1),(69,1),(75,1),(92,1)}
        62:{1,5}:{(50,1),(70,1)}
        63:{2,6}:{(51,1),(72,1),(73,1)}
        64:{2,5,7}:{(52,1),(56,1),(76,1),(77,1)}
        65:{2,4,6}:{(52,1),(53,1),(57,1),(76,1),(77,1),(78,1)}
        66:{2,3,5}:{(53,1),(54,1),(58,1),(77,1),(78,1),(79,1),(95,1)}
        67:{1,2,4}:{(54,1),(55,1),(78,1),(79,1),(80,1),(96,1),(97,1)}
        68:{3,4}:{(55,1),(59,1),(79,1),(80,1)}
        69:{3,6}:{(56,1),(61,1),(76,1)}
        70:{3,5}:{(57,1),(62,1),(77,1),(83,1)}
        71:{4}:{(58,1)}
        72:{2,5}:{(59,1),(63,1),(80,1)}
        73:{2,7}:{(60,1),(63,1)}
        74:{1,4,6,7}:{(61,1),(81,1),(84,1),(98,1)}
        75:{1,5,6}:{(61,1),(62,1),(82,1),(84,1),(103,1)}
        76:{2,6}:{(64,1),(69,1)}
        77:{2,5}:{(65,1),(70,1)}
        78:{2,4}:{(66,1),(71,1),(88,1)}
        79:{3}:{(67,1)}
        80:{2,4}:{(68,1),(72,1),(90,1)}
        81:{3,6,7}:{(69,1),(74,1),(85,1),(91,1)}
        82:{3,5,6}:{(69,1),(70,1),(75,1),(86,1),(91,1),(92,1),(100,1)}
        83:{4,5}:{(70,1),(71,1),(92,1)}
        84:{1,5,7}:{(74,1),(75,1),(91,1),(104,1)}
        85:{2,6,7}:{(76,1),(81,1),(93,1)}
        86:{2,5,6}:{(76,1),(77,1),(82,1),(93,1),(94,1)}
        87:{2,4,5}:{(77,1),(78,1),(83,1),(94,1),(95,1)}
        88:{3,4}:{(78,1),(79,1),(95,1),(96,1)}
        89:{1,3}:{(79,1),(96,1),(97,1)}
        90:{2,3}:{(79,1),(80,1),(97,1)}
        91:{3,5,7}:{(81,1),(82,1),(84,1),(93,1),(98,1),(102,1)}
        92:{4,6}:{(82,1),(83,1),(98,1)}
        93:{2,5,7}:{(85,1),(86,1),(91,1),(99,1)}
        94:{2,4,6}:{(86,1),(87,1),(92,1),(99,1),(100,1)}
        95:{3,5}:{(87,1),(88,1),(100,1),(101,1)}
        96:{1,4}:{(88,1),(89,1),(101,1)}
        97:{1,2}:{(89,1),(90,1)}
        98:{4,7}:{(91,1),(92,1)}
        99:{2,4,7}:{(93,1),(94,1),(98,1),(102,1)}
       100:{3,6}:{(94,1),(95,1),(102,1),(103,1)}
       101:{1,5}:{(95,1),(96,1),(103,1)}
       102:{3,7}:{(99,1),(100,1),(104,1)}
       103:{1,6}:{(100,1),(101,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 265 :   0:{2,4,6,7}:{(1,1),(2,1),(9,1),(10,1)}
         1:{3,6,7}:{(0,1),(3,1),(4,1),(16,1)}
         2:{2,5,7}:{(0,1),(4,1),(5,1),(31,1)}
         3:{1,6,7}:{(1,1),(7,1),(25,1)}
         4:{3,5,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(20,1)}
         5:{2,5,6}:{(2,1),(8,1),(10,1),(40,1),(43,1)}
         6:{2,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(21,1),(24,1),(43,1)}
         7:{1,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{3,5,6}:{(4,1),(5,1),(12,1),(14,1),(16,1),(29,1),(32,1)}
         9:{4,7}:{(4,1),(14,1)}
        10:{2,4,6}:{(5,1),(6,1),(14,1),(16,1)}
        11:{3,5,7}:{(6,1),(15,1),(16,1),(17,1),(32,1)}
        12:{1,5,6}:{(7,1),(8,1),(19,1),(25,1),(42,1)}
        13:{1,4,7}:{(7,1),(9,1),(19,1),(20,1)}
        14:{4,6}:{(8,1),(9,1),(21,1)}
        15:{3,4,7}:{(9,1),(11,1),(20,1),(22,1),(23,1),(24,1),(45,1)}
        16:{3,6}:{(10,1),(11,1),(25,1)}
        17:{1,5,7}:{(11,1),(23,1),(25,1),(42,1)}
        18:{2,3,5,7}:{(11,1),(24,1),(26,1),(27,1),(43,1),(45,1),(63,1)}
        19:{1,4,6}:{(12,1),(13,1),(14,1),(28,1),(29,1)}
        20:{3,7}:{(13,1),(29,1),(31,1)}
        21:{4,5}:{(14,1),(32,1),(73,1)}
        22:{3,4,6}:{(14,1),(15,1),(16,1),(29,1),(32,1),(33,1),(34,1),(48,1),(54,1),(73,1)}
        23:{1,4,7}:{(15,1),(17,1),(30,1),(33,1)}
        24:{2,4,7}:{(15,1),(18,1),(31,1),(34,1),(73,1)}
        25:{1,6}:{(16,1),(17,1)}
        26:{2,3,6}:{(16,1),(18,1),(34,1),(36,1),(54,1),(68,1)}
        27:{1,2,5,7}:{(17,1),(18,1),(35,1),(36,1),(37,1),(53,1),(72,1)}
        28:{1,4,5}:{(19,1),(21,1),(38,1),(42,1),(58,1)}
        29:{3,6}:{(19,1),(20,1),(38,1),(40,1)}
        30:{1,3,7}:{(20,1),(23,1),(39,1),(41,1),(45,1)}
        31:{2,7}:{(20,1),(40,1)}
        32:{3,5}:{(21,1),(22,1),(42,1),(43,1)}
        33:{1,4,6}:{(22,1),(23,1),(25,1),(39,1),(42,1),(58,1)}
        34:{2,4,6}:{(22,1),(24,1),(26,1),(40,1),(43,1),(59,1)}
        35:{1,2,4,7}:{(23,1),(24,1),(27,1),(41,1),(44,1),(45,1),(47,1),(62,1)}
        36:{1,2,6}:{(25,1),(26,1),(27,1),(46,1),(78,1),(82,1)}
        37:{1,3,5,7}:{(27,1),(45,1),(46,1),(47,1),(63,1),(65,1),(66,1)}
        38:{3,5}:{(28,1),(29,1),(48,1),(50,1)}
        39:{1,3,6}:{(29,1),(30,1),(33,1),(49,1),(51,1),(54,1)}
        40:{2,6}:{(29,1),(31,1),(50,1)}
        41:{1,2,7}:{(30,1),(31,1),(51,1),(52,1),(104,1)}
        42:{1,5}:{(32,1),(33,1)}
        43:{2,5}:{(32,1),(34,1)}
        44:{1,2,4,6}:{(33,1),(34,1),(35,1),(36,1),(51,1),(53,1),(54,1),(56,1),(69,1),(71,1),(73,1)}
        45:{3,7}:{(35,1),(54,1)}
        46:{1,3,6}:{(36,1),(37,1),(54,1),(56,1),(75,1),(87,1)}
        47:{1,4,7}:{(37,1),(55,1),(56,1),(73,1),(104,1)}
        48:{3,4}:{(38,1),(58,1),(59,1),(79,1)}
        49:{1,3,5}:{(38,1),(39,1),(42,1),(58,1),(60,1),(63,1),(79,1)}
        50:{2,5}:{(38,1),(40,1),(59,1)}
        51:{1,2,6}:{(39,1),(40,1),(41,1),(60,1),(61,1),(102,1)}
        52:{2,3,7}:{(41,1),(45,1),(61,1),(62,1),(103,1)}
        53:{1,2,5}:{(42,1),(43,1),(44,1),(63,1),(66,1),(81,1)}
        54:{3,6}:{(44,1),(45,1),(63,1),(79,1)}
        55:{3,4,7}:{(45,1),(47,1),(62,1),(64,1),(65,1),(98,1),(103,1)}
        56:{1,4,6}:{(46,1),(47,1),(64,1),(66,1),(94,1),(102,1)}
        57:{1,4,5,7}:{(47,1),(65,1),(66,1),(67,1),(83,1),(86,1),(98,1)}
        58:{1,4}:{(48,1),(49,1),(73,1)}
        59:{2,4}:{(48,1),(50,1),(68,1)}
        60:{1,2,5}:{(49,1),(50,1),(51,1),(69,1),(70,1),(99,1)}
        61:{2,3,6}:{(51,1),(52,1),(54,1),(70,1),(71,1),(100,1)}
        62:{2,4,7}:{(52,1),(55,1),(71,1),(72,1)}
        63:{3,5}:{(53,1),(54,1),(73,1)}
        64:{3,4,6}:{(54,1),(55,1),(56,1),(71,1),(73,1),(74,1),(75,1),(88,1),(92,1),(100,1)}
        65:{3,5,7}:{(55,1),(57,1),(72,1),(74,1),(75,1)}
        66:{1,5}:{(56,1),(74,1)}
        67:{1,4,6}:{(57,1),(75,1),(76,1),(92,1)}
        68:{2,3}:{(59,1),(78,1),(79,1)}
        69:{1,2,4}:{(58,1),(59,1),(60,1),(78,1),(79,1),(80,1),(94,1)}
        70:{2,3,5}:{(60,1),(61,1),(63,1),(79,1),(80,1),(81,1),(95,1)}
        71:{2,4,6}:{(61,1),(62,1),(64,1),(80,1),(81,1),(82,1)}
        72:{2,5,7}:{(62,1),(65,1),(81,1),(82,1)}
        73:{4}:{(63,1)}
        74:{3,5}:{(64,1),(66,1),(81,1),(83,1)}
        75:{3,6}:{(65,1),(67,1),(82,1)}
        76:{1,5,6}:{(66,1),(67,1),(84,1),(86,1),(102,1)}
        77:{1,4,6,7}:{(67,1),(85,1),(86,1),(98,1)}
        78:{1,2}:{(68,1),(87,1)}
        79:{3}:{(69,1)}
        80:{2,4}:{(70,1),(73,1),(88,1)}
        81:{2,5}:{(71,1),(74,1)}
        82:{2,6}:{(72,1),(75,1)}
        83:{4,5}:{(73,1),(74,1),(92,1)}
        84:{3,5,6}:{(74,1),(75,1),(76,1),(90,1),(92,1),(93,1),(100,1)}
        85:{3,6,7}:{(75,1),(77,1),(91,1),(93,1)}
        86:{1,5,7}:{(76,1),(77,1),(93,1),(104,1)}
        87:{1,3}:{(78,1),(79,1),(94,1)}
        88:{3,4}:{(79,1),(80,1),(94,1),(95,1)}
        89:{2,4,5}:{(80,1),(81,1),(83,1),(95,1),(96,1)}
        90:{2,5,6}:{(81,1),(82,1),(84,1),(96,1),(97,1)}
        91:{2,6,7}:{(82,1),(85,1),(97,1)}
        92:{4,6}:{(83,1),(84,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(86,1),(97,1),(98,1),(103,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{3,5}:{(88,1),(89,1),(99,1),(100,1)}
        96:{2,4,6}:{(89,1),(90,1),(92,1),(100,1),(101,1)}
        97:{2,5,7}:{(90,1),(91,1),(93,1),(101,1)}
        98:{4,7}:{(92,1),(93,1)}
        99:{1,5}:{(94,1),(95,1),(102,1)}
       100:{3,6}:{(95,1),(96,1),(102,1),(103,1)}
       101:{2,4,7}:{(96,1),(97,1),(98,1),(103,1)}
       102:{1,6}:{(99,1),(100,1),(104,1)}
       103:{3,7}:{(100,1),(101,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 266 :  0:{1,2,4,5}:{(1,1),(2,1),(9,1),(10,1),(12,1),(31,1),(33,1),(35,1)}
        1:{3,5}:{(0,1),(3,1),(6,1)}
        2:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(19,1),(20,1),(23,1),(26,1)}
        3:{3,4}:{(1,1),(9,1),(10,1),(29,1)}
        4:{1,3,5}:{(1,1),(9,1),(12,1),(13,1),(29,1),(31,1),(48,1)}
        5:{2,3,5}:{(1,1),(10,1),(12,1),(14,1),(29,1),(33,1),(48,1)}
        6:{3,6}:{(1,1),(2,1),(16,1)}
        7:{1,2,5,6}:{(2,1),(15,1),(17,1),(31,1),(33,1),(51,1),(52,1)}
        8:{1,2,4,7}:{(2,1),(16,1),(17,1),(32,1),(34,1),(37,1),(38,1)}
        9:{1,4}:{(3,1),(4,1),(55,1)}
       10:{2,4}:{(3,1),(5,1),(55,1)}
       11:{3,4,6}:{(3,1),(6,1),(19,1),(20,1),(21,1),(22,1),(26,1),(40,1),(46,1),(55,1),(61,1)}
       12:{1,2,5}:{(4,1),(5,1),(18,1),(23,1)}
       13:{1,3,6}:{(4,1),(6,1),(19,1),(23,1),(24,1),(40,1)}
       14:{2,3,6}:{(5,1),(6,1),(20,1),(23,1),(25,1),(40,1)}
       15:{3,5,6}:{(6,1),(7,1),(21,1),(26,1),(27,1),(46,1),(58,1)}
       16:{3,7}:{(6,1),(8,1)}
       17:{1,2,5,7}:{(7,1),(8,1),(27,1),(28,1),(43,1),(44,1)}
       18:{1,2,4}:{(9,1),(10,1),(12,1),(29,1)}
       19:{1,4,6}:{(9,1),(11,1),(13,1),(31,1),(32,1),(51,1)}
       20:{2,4,6}:{(10,1),(11,1),(14,1),(33,1),(34,1),(52,1)}
       21:{3,5}:{(11,1),(31,1),(33,1),(35,1),(62,1)}
       22:{3,4,7}:{(11,1),(16,1),(32,1),(34,1),(36,1),(38,1),(49,1),(59,1)}
       23:{1,2,6}:{(12,1),(13,1),(14,1),(37,1)}
       24:{1,3,7}:{(13,1),(16,1),(32,1),(37,1),(49,1)}
       25:{2,3,7}:{(14,1),(16,1),(34,1),(37,1),(49,1)}
       26:{4,6}:{(15,1),(35,1),(38,1)}
       27:{3,5,7}:{(15,1),(16,1),(17,1),(38,1),(39,1),(54,1)}
       28:{1,2,6,7}:{(17,1),(39,1),(51,1),(52,1)}
       29:{3}:{(18,1)}
       30:{1,2,4,6}:{(18,1),(19,1),(20,1),(23,1),(40,1),(41,1),(42,1),(55,1),(57,1),(61,1)}
       31:{1,5}:{(19,1),(21,1)}
       32:{1,4,7}:{(19,1),(22,1),(24,1),(43,1)}
       33:{2,5}:{(20,1),(21,1)}
       34:{2,4,7}:{(20,1),(22,1),(25,1),(44,1)}
       35:{4,5}:{(21,1),(26,1),(55,1)}
       36:{3,5,7}:{(21,1),(22,1),(43,1),(44,1),(45,1),(46,1)}
       37:{1,2,7}:{(23,1),(24,1),(25,1)}
       38:{4,7}:{(26,1),(27,1)}
       39:{3,6,7}:{(27,1),(28,1),(46,1),(47,1)}
       40:{3,6}:{(29,1),(30,1),(48,1),(49,1)}
       41:{1,2,5}:{(30,1),(31,1),(33,1),(48,1),(62,1)}
       42:{1,2,4,7}:{(30,1),(32,1),(34,1),(37,1),(49,1),(50,1),(59,1)}
       43:{1,5,7}:{(31,1),(32,1),(36,1),(51,1)}
       44:{2,5,7}:{(33,1),(34,1),(36,1),(52,1)}
       45:{4,5,7}:{(35,1),(36,1),(38,1),(53,1),(54,1),(59,1),(62,1)}
       46:{3,6}:{(36,1),(51,1),(52,1),(53,1)}
       47:{4,6,7}:{(38,1),(39,1),(53,1),(54,1)}
       48:{3,5}:{(40,1),(41,1),(55,1)}
       49:{3,7}:{(40,1),(42,1)}
       50:{1,2,5,7}:{(41,1),(42,1),(43,1),(44,1),(56,1),(57,1)}
       51:{1,6}:{(43,1),(46,1)}
       52:{2,6}:{(44,1),(46,1)}
       53:{4,6}:{(45,1),(46,1),(58,1)}
       54:{5,7}:{(47,1),(58,1)}
       55:{4}:{(48,1)}
       56:{3,5,7}:{(48,1),(49,1),(50,1),(59,1),(60,1),(62,1)}
       57:{1,2,6}:{(50,1),(51,1),(52,1),(60,1)}
       58:{5,6}:{(53,1),(54,1),(62,1)}
       59:{4,7}:{(55,1),(56,1),(61,1)}
       60:{3,6}:{(56,1),(57,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 267 :   0:{3,4,5,7}:{(1,1),(2,1),(3,1),(17,1),(23,1),(108,1),(111,1),(118,1),(126,1),(129,1),(130,1)}
         1:{1,4,5,7}:{(0,1),(4,1),(7,1),(41,1),(78,1),(87,1),(140,1),(156,1)}
         2:{2,4,5,7}:{(0,1),(5,1),(8,1),(43,1),(81,1),(94,1),(137,1),(148,1)}
         3:{3,4,6}:{(0,1),(7,1),(8,1),(10,1),(38,1),(99,1)}
         4:{1,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(17,1),(49,1),(165,1),(180,1),(203,1)}
         5:{2,3,5,7}:{(2,1),(12,1),(15,1),(16,1),(17,1),(52,1),(163,1),(173,1),(205,1)}
         6:{1,2,4,5,7}:{(1,1),(2,1),(13,1),(15,1),(17,1),(18,1),(53,1),(59,1),(68,1),(107,1),(110,1),(113,1),(116,1),(121,1),(124,1),(129,1),(130,1),(168,1),(176,1),(203,1),(205,1)}
         7:{1,4,6}:{(1,1),(3,1),(14,1),(20,1)}
         8:{2,4,6}:{(2,1),(3,1),(16,1),(22,1)}
         9:{3,4,6,7}:{(3,1),(19,1),(21,1),(23,1),(66,1),(75,1),(118,1),(126,1),(130,1),(131,1),(133,1)}
        10:{3,5,6}:{(3,1),(20,1),(22,1),(23,1),(24,1)}
        11:{1,3,4,7}:{(4,1),(25,1),(26,1),(37,1),(87,1),(145,1),(187,1),(193,1)}
        12:{2,3,4,7}:{(5,1),(27,1),(28,1),(37,1),(94,1),(153,1),(185,1),(198,1)}
        13:{1,2,5,7}:{(4,1),(25,1),(29,1),(30,1),(77,1),(189,1),(199,1)}
        14:{1,3,6}:{(4,1),(7,1),(30,1),(38,1),(208,1)}
        15:{1,2,5,7}:{(5,1),(27,1),(33,1),(34,1),(80,1),(186,1),(194,1)}
        16:{2,3,6}:{(5,1),(8,1),(34,1),(38,1),(209,1)}
        17:{3,5,7}:{(6,1),(37,1),(38,1),(97,1),(136,1),(139,1),(145,1),(153,1)}
        18:{1,2,4,6}:{(6,1),(7,1),(8,1),(30,1),(34,1),(38,1),(40,1),(82,1),(89,1),(99,1),(190,1),(195,1),(208,1),(209,1)}
        19:{1,4,6,7}:{(7,1),(9,1),(31,1),(41,1),(87,1),(156,1),(160,1)}
        20:{1,5,6}:{(7,1),(10,1),(41,1)}
        21:{2,4,6,7}:{(8,1),(9,1),(35,1),(43,1),(94,1),(148,1),(159,1)}
        22:{2,5,6}:{(8,1),(10,1),(43,1)}
        23:{3,5,7}:{(9,1),(10,1),(41,1),(43,1),(46,1)}
        24:{4,5,6}:{(10,1),(46,1),(99,1)}
        25:{1,2,4,7}:{(11,1),(13,1),(47,1),(48,1),(53,1),(201,1)}
        26:{1,3,4,6}:{(11,1),(14,1),(48,1),(49,1),(58,1),(65,1),(117,1),(161,1),(171,1)}
        27:{1,2,4,7}:{(12,1),(15,1),(50,1),(51,1),(59,1),(200,1)}
        28:{2,3,4,6}:{(12,1),(16,1),(51,1),(52,1),(64,1),(65,1),(125,1),(164,1),(179,1)}
        29:{2,3,5,7}:{(13,1),(17,1),(47,1),(53,1),(54,1),(106,1),(113,1),(166,1),(181,1),(205,1)}
        30:{1,2,6}:{(13,1),(14,1),(54,1)}
        31:{1,3,6,7}:{(14,1),(19,1),(55,1),(57,1),(66,1),(131,1),(180,1)}
        32:{1,3,5,6}:{(14,1),(20,1),(49,1),(56,1),(57,1),(58,1),(67,1),(71,1),(117,1)}
        33:{1,3,5,7}:{(15,1),(17,1),(50,1),(59,1),(60,1),(109,1),(121,1),(162,1),(172,1),(203,1)}
        34:{1,2,6}:{(15,1),(16,1),(60,1)}
        35:{2,3,6,7}:{(16,1),(21,1),(61,1),(63,1),(66,1),(133,1),(173,1)}
        36:{2,3,5,6}:{(16,1),(22,1),(52,1),(62,1),(63,1),(64,1),(67,1),(74,1),(125,1)}
        37:{3,4,7}:{(17,1),(53,1),(59,1),(65,1),(130,1),(161,1),(164,1)}
        38:{3,6}:{(17,1),(18,1)}
        39:{1,2,4,6,7}:{(18,1),(19,1),(21,1),(55,1),(61,1),(66,1),(68,1),(112,1),(116,1),(120,1),(124,1),(130,1)}
        40:{1,2,5,6}:{(18,1),(20,1),(22,1),(67,1),(68,1),(113,1),(121,1),(167,1),(175,1)}
        41:{1,5,7}:{(19,1),(20,1),(23,1)}
        42:{1,4,5,6}:{(20,1),(24,1),(58,1),(70,1),(71,1)}
        43:{2,5,7}:{(21,1),(22,1),(23,1)}
        44:{2,4,5,6}:{(22,1),(24,1),(64,1),(73,1),(74,1)}
        45:{3,5,6,7}:{(23,1),(69,1),(72,1),(75,1),(131,1),(133,1)}
        46:{4,5,7}:{(23,1),(24,1),(75,1),(130,1)}
        47:{2,3,7}:{(25,1),(76,1),(145,1),(207,1)}
        48:{1,2,4,6}:{(25,1),(26,1),(30,1),(76,1),(77,1),(82,1),(135,1)}
        49:{1,3,5}:{(26,1),(77,1),(78,1),(97,1),(136,1),(192,1)}
        50:{1,3,7}:{(27,1),(79,1),(153,1),(206,1)}
        51:{1,2,4,6}:{(27,1),(28,1),(34,1),(79,1),(80,1),(89,1),(138,1)}
        52:{2,3,5}:{(28,1),(80,1),(81,1),(97,1),(139,1),(197,1)}
        53:{2,4,7}:{(29,1),(37,1),(82,1),(135,1),(188,1)}
        54:{2,3,6}:{(29,1),(30,1),(38,1),(82,1),(209,1)}
        55:{1,2,6,7}:{(30,1),(31,1),(83,1),(85,1),(159,1),(199,1),(208,1)}
        56:{1,2,5,6}:{(30,1),(32,1),(77,1),(84,1),(85,1),(86,1),(102,1),(192,1),(208,1)}
        57:{1,3,5,7}:{(31,1),(32,1),(41,1),(85,1),(87,1),(98,1),(101,1),(145,1)}
        58:{1,4,6}:{(32,1),(78,1),(87,1),(88,1),(99,1)}
        59:{1,4,7}:{(33,1),(37,1),(89,1),(138,1),(184,1)}
        60:{1,3,6}:{(33,1),(34,1),(38,1),(89,1),(208,1)}
        61:{1,2,6,7}:{(34,1),(35,1),(90,1),(92,1),(160,1),(194,1),(209,1)}
        62:{1,2,5,6}:{(34,1),(36,1),(80,1),(91,1),(92,1),(93,1),(105,1),(197,1),(209,1)}
        63:{2,3,5,7}:{(35,1),(36,1),(43,1),(92,1),(94,1),(98,1),(104,1),(153,1)}
        64:{2,4,6}:{(36,1),(81,1),(94,1),(95,1),(99,1)}
        65:{3,4,6}:{(37,1),(38,1),(82,1),(89,1),(97,1),(99,1)}
        66:{3,6,7}:{(38,1),(39,1),(98,1),(145,1),(153,1)}
        67:{3,5,6}:{(38,1),(40,1),(97,1),(98,1),(99,1)}
        68:{1,2,5,7}:{(39,1),(40,1),(41,1),(43,1),(98,1),(141,1),(149,1)}
        69:{1,5,6,7}:{(41,1),(45,1),(100,1),(160,1)}
        70:{1,4,5,7}:{(41,1),(42,1),(46,1),(87,1),(100,1),(101,1)}
        71:{3,5,6}:{(42,1),(88,1),(101,1),(102,1)}
        72:{2,5,6,7}:{(43,1),(45,1),(103,1),(159,1)}
        73:{2,4,5,7}:{(43,1),(44,1),(46,1),(94,1),(103,1),(104,1)}
        74:{3,5,6}:{(44,1),(95,1),(104,1),(105,1)}
        75:{4,6,7}:{(45,1),(46,1)}
        76:{2,3,6}:{(47,1),(48,1),(106,1),(117,1)}
        77:{1,2,5}:{(48,1),(49,1),(106,1),(113,1)}
        78:{1,4,5}:{(49,1),(58,1),(108,1),(129,1)}
        79:{1,3,6}:{(50,1),(51,1),(109,1),(125,1)}
        80:{1,2,5}:{(51,1),(52,1),(109,1),(121,1)}
        81:{2,4,5}:{(52,1),(64,1),(111,1),(129,1)}
        82:{2,4,6}:{(53,1),(54,1),(65,1),(113,1)}
        83:{2,3,6,7}:{(54,1),(55,1),(66,1),(112,1),(114,1),(181,1),(202,1)}
        84:{2,3,5,6}:{(54,1),(56,1),(67,1),(106,1),(113,1),(114,1),(115,1),(117,1),(167,1),(169,1),(202,1)}
        85:{1,2,5,7}:{(55,1),(56,1),(57,1),(114,1),(116,1),(132,1),(203,1)}
        86:{1,2,4,6}:{(56,1),(58,1),(107,1),(115,1),(116,1),(117,1),(119,1),(171,1),(174,1)}
        87:{1,4,7}:{(57,1),(58,1),(118,1),(130,1)}
        88:{3,4,6}:{(58,1),(71,1),(108,1),(117,1),(118,1),(119,1)}
        89:{1,4,6}:{(59,1),(60,1),(65,1),(121,1)}
        90:{1,3,6,7}:{(60,1),(61,1),(66,1),(120,1),(122,1),(172,1),(204,1)}
        91:{1,3,5,6}:{(60,1),(62,1),(67,1),(109,1),(121,1),(122,1),(123,1),(125,1),(175,1),(177,1),(204,1)}
        92:{1,2,5,7}:{(61,1),(62,1),(63,1),(122,1),(124,1),(134,1),(205,1)}
        93:{1,2,4,6}:{(62,1),(64,1),(110,1),(123,1),(124,1),(125,1),(127,1),(179,1),(182,1)}
        94:{2,4,7}:{(63,1),(64,1),(126,1),(130,1)}
        95:{3,4,6}:{(64,1),(74,1),(111,1),(125,1),(126,1),(127,1)}
        96:{3,4,6,7}:{(65,1),(66,1),(112,1),(120,1),(128,1),(130,1),(170,1),(178,1),(183,1),(202,1),(204,1)}
        97:{3,5}:{(65,1),(113,1),(121,1),(129,1)}
        98:{3,5,7}:{(66,1),(67,1),(68,1),(130,1)}
        99:{4,6}:{(67,1),(129,1),(130,1)}
       100:{1,4,6,7}:{(69,1),(70,1),(75,1),(131,1)}
       101:{3,5,7}:{(70,1),(71,1),(118,1),(131,1),(132,1)}
       102:{2,5,6}:{(71,1),(119,1),(132,1)}
       103:{2,4,6,7}:{(72,1),(73,1),(75,1),(133,1)}
       104:{3,5,7}:{(73,1),(74,1),(126,1),(133,1),(134,1)}
       105:{1,5,6}:{(74,1),(127,1),(134,1)}
       106:{2,3,5}:{(76,1),(77,1),(135,1),(136,1)}
       107:{1,2,4,5}:{(77,1),(78,1),(86,1),(135,1),(136,1),(137,1),(142,1),(184,1),(186,1),(192,1)}
       108:{3,4,5}:{(78,1),(88,1),(136,1),(137,1)}
       109:{1,3,5}:{(79,1),(80,1),(138,1),(139,1)}
       110:{1,2,4,5}:{(80,1),(81,1),(93,1),(138,1),(139,1),(140,1),(150,1),(188,1),(189,1),(197,1)}
       111:{3,4,5}:{(81,1),(95,1),(139,1),(140,1)}
       112:{2,4,6,7}:{(82,1),(83,1),(96,1),(141,1),(143,1),(190,1),(198,1),(209,1)}
       113:{2,5}:{(82,1),(97,1)}
       114:{2,3,5,7}:{(83,1),(84,1),(85,1),(98,1),(141,1),(143,1),(145,1),(191,1)}
       115:{2,4,6}:{(84,1),(99,1),(135,1),(142,1),(143,1),(144,1)}
       116:{1,2,4,7}:{(85,1),(86,1),(87,1),(143,1),(145,1),(148,1),(193,1),(194,1)}
       117:{3,6}:{(86,1),(136,1),(145,1)}
       118:{3,4,7}:{(87,1),(88,1),(101,1),(145,1),(148,1)}
       119:{2,4,6}:{(88,1),(102,1),(137,1),(147,1),(148,1)}
       120:{1,4,6,7}:{(89,1),(90,1),(96,1),(149,1),(151,1),(193,1),(195,1),(208,1)}
       121:{1,5}:{(89,1),(97,1)}
       122:{1,3,5,7}:{(90,1),(91,1),(92,1),(98,1),(149,1),(151,1),(153,1),(196,1)}
       123:{1,4,6}:{(91,1),(99,1),(138,1),(150,1),(151,1),(152,1)}
       124:{1,2,4,7}:{(92,1),(93,1),(94,1),(151,1),(153,1),(156,1),(198,1),(199,1)}
       125:{3,6}:{(93,1),(139,1),(153,1)}
       126:{3,4,7}:{(94,1),(95,1),(104,1),(153,1),(156,1)}
       127:{1,4,6}:{(95,1),(105,1),(140,1),(154,1),(156,1)}
       128:{3,5,7}:{(96,1),(97,1),(141,1),(149,1),(157,1),(158,1)}
       129:{4,5}:{(97,1),(99,1)}
       130:{4,7}:{(98,1),(99,1)}
       131:{3,6,7}:{(100,1),(101,1),(159,1)}
       132:{2,5,7}:{(101,1),(102,1),(148,1),(159,1)}
       133:{3,6,7}:{(103,1),(104,1),(160,1)}
       134:{1,5,7}:{(104,1),(105,1),(156,1),(160,1)}
       135:{2,4}:{(106,1),(161,1)}
       136:{3,5}:{(107,1),(117,1),(161,1)}
       137:{2,4,5}:{(108,1),(119,1),(163,1)}
       138:{1,4}:{(109,1),(164,1)}
       139:{3,5}:{(110,1),(125,1),(164,1)}
       140:{1,4,5}:{(111,1),(127,1),(165,1)}
       141:{2,5,7}:{(112,1),(113,1),(128,1),(167,1)}
       142:{2,4,5}:{(113,1),(115,1),(129,1),(169,1)}
       143:{2,4,7}:{(114,1),(115,1),(130,1),(170,1)}
       144:{3,4,6}:{(115,1),(117,1),(161,1),(169,1),(170,1),(171,1),(202,1)}
       145:{3,7}:{(116,1),(117,1)}
       146:{1,3,6}:{(117,1),(162,1),(171,1),(172,1),(174,1)}
       147:{2,3,6}:{(117,1),(119,1),(163,1),(173,1),(174,1)}
       148:{2,4,7}:{(118,1),(119,1),(132,1),(173,1)}
       149:{1,5,7}:{(120,1),(121,1),(128,1),(175,1)}
       150:{1,4,5}:{(121,1),(123,1),(129,1),(177,1)}
       151:{1,4,7}:{(122,1),(123,1),(130,1),(178,1)}
       152:{3,4,6}:{(123,1),(125,1),(164,1),(177,1),(178,1),(179,1),(204,1)}
       153:{3,7}:{(124,1),(125,1)}
       154:{1,3,6}:{(125,1),(127,1),(165,1),(180,1),(182,1)}
       155:{2,3,6}:{(125,1),(166,1),(179,1),(181,1),(182,1)}
       156:{1,4,7}:{(126,1),(127,1),(134,1),(180,1)}
       157:{3,5,6}:{(128,1),(167,1),(175,1),(183,1),(202,1),(204,1)}
       158:{4,5,7}:{(128,1),(129,1),(130,1),(183,1)}
       159:{2,6,7}:{(131,1),(132,1)}
       160:{1,6,7}:{(133,1),(134,1)}
       161:{3,4}:{(135,1),(136,1),(184,1)}
       162:{1,3,5}:{(136,1),(146,1),(184,1),(186,1),(192,1),(206,1)}
       163:{2,3,5}:{(136,1),(137,1),(147,1),(185,1),(186,1)}
       164:{3,4}:{(138,1),(139,1),(188,1)}
       165:{1,3,5}:{(139,1),(140,1),(154,1),(187,1),(189,1)}
       166:{2,3,5}:{(139,1),(155,1),(188,1),(189,1),(197,1),(207,1)}
       167:{2,5,6}:{(141,1),(157,1),(190,1),(209,1)}
       168:{2,4,5,7}:{(141,1),(142,1),(143,1),(158,1),(190,1),(191,1)}
       169:{3,5}:{(142,1),(144,1),(192,1)}
       170:{3,4,7}:{(143,1),(144,1),(145,1),(191,1),(193,1)}
       171:{1,4,6}:{(144,1),(146,1),(184,1),(192,1),(193,1),(208,1)}
       172:{1,3,7}:{(145,1),(146,1),(193,1),(194,1)}
       173:{2,3,7}:{(145,1),(147,1),(148,1),(194,1)}
       174:{1,2,6}:{(146,1),(147,1),(186,1),(194,1)}
       175:{1,5,6}:{(149,1),(157,1),(195,1),(208,1)}
       176:{1,4,5,7}:{(149,1),(150,1),(151,1),(158,1),(195,1),(196,1)}
       177:{3,5}:{(150,1),(152,1),(197,1)}
       178:{3,4,7}:{(151,1),(152,1),(153,1),(196,1),(198,1)}
       179:{2,4,6}:{(152,1),(155,1),(188,1),(197,1),(198,1),(209,1)}
       180:{1,3,7}:{(153,1),(154,1),(156,1),(199,1)}
       181:{2,3,7}:{(153,1),(155,1),(198,1),(199,1)}
       182:{1,2,6}:{(154,1),(155,1),(189,1),(199,1)}
       183:{4,6}:{(157,1),(158,1)}
       184:{1,4}:{(161,1),(162,1)}
       185:{2,3,4}:{(161,1),(163,1),(200,1)}
       186:{1,2,5}:{(162,1),(163,1),(174,1),(200,1)}
       187:{1,3,4}:{(164,1),(165,1),(201,1)}
       188:{2,4}:{(164,1),(166,1)}
       189:{1,2,5}:{(165,1),(166,1),(182,1),(201,1)}
       190:{2,4,6}:{(167,1),(168,1),(183,1),(202,1)}
       191:{3,5,7}:{(168,1),(169,1),(170,1),(202,1),(203,1)}
       192:{1,5}:{(169,1),(171,1)}
       193:{1,4,7}:{(170,1),(171,1),(172,1),(203,1)}
       194:{1,2,7}:{(172,1),(173,1),(174,1)}
       195:{1,4,6}:{(175,1),(176,1),(183,1),(204,1)}
       196:{3,5,7}:{(176,1),(177,1),(178,1),(204,1),(205,1)}
       197:{2,5}:{(177,1),(179,1)}
       198:{2,4,7}:{(178,1),(179,1),(181,1),(205,1)}
       199:{1,2,7}:{(180,1),(181,1),(182,1)}
       200:{1,2,4}:{(184,1),(185,1),(186,1),(206,1)}
       201:{1,2,4}:{(187,1),(188,1),(189,1),(207,1)}
       202:{3,6}:{(190,1),(191,1),(208,1)}
       203:{1,5,7}:{(191,1),(192,1),(193,1),(208,1)}
       204:{3,6}:{(195,1),(196,1),(209,1)}
       205:{2,5,7}:{(196,1),(197,1),(198,1),(209,1)}
       206:{1,3}:{(200,1)}
       207:{2,3}:{(201,1)}
       208:{1,6}:{(202,1),(203,1)}
       209:{2,6}:{(204,1),(205,1)}

 268 :  0:{3,4,5}:{(2,1),(3,1),(4,1),(26,1),(70,1)}
        1:{4,5,6}:{(7,1),(8,1),(61,1),(83,1)}
        2:{3,4,6}:{(0,1),(7,1),(9,1),(10,1),(11,1),(40,1),(61,1)}
        3:{1,4,5}:{(0,1),(5,1),(9,1)}
        4:{2,4,5}:{(0,1),(6,1),(10,1)}
        5:{1,3,5}:{(3,1),(13,1),(15,1),(16,1),(26,1)}
        6:{2,3,5}:{(4,1),(14,1),(17,1),(18,1),(26,1)}
        7:{3,5,6}:{(1,1),(2,1),(19,1),(20,1),(21,1)}
        8:{4,5,7}:{(1,1),(21,1),(22,1),(71,1),(82,1)}
        9:{1,4,6}:{(2,1),(3,1),(15,1),(19,1),(24,1)}
       10:{2,4,6}:{(2,1),(4,1),(17,1),(20,1),(25,1)}
       11:{3,4,7}:{(2,1),(21,1),(24,1),(25,1),(56,1),(71,1)}
       12:{1,2,4,5}:{(3,1),(4,1),(16,1),(18,1),(23,1),(26,1),(47,1),(50,1),(66,1),(68,1),(70,1)}
       13:{1,3,4}:{(5,1),(27,1),(42,1)}
       14:{2,3,4}:{(6,1),(28,1),(42,1)}
       15:{1,3,6}:{(5,1),(9,1),(29,1),(30,1),(40,1)}
       16:{1,2,5}:{(5,1),(27,1),(29,1),(31,1)}
       17:{2,3,6}:{(6,1),(10,1),(32,1),(33,1),(40,1)}
       18:{1,2,5}:{(6,1),(28,1),(32,1),(34,1)}
       19:{1,5,6}:{(7,1),(9,1),(36,1)}
       20:{2,5,6}:{(7,1),(10,1),(37,1)}
       21:{3,5,7}:{(7,1),(8,1),(11,1),(36,1),(37,1),(38,1)}
       22:{4,6,7}:{(8,1),(38,1),(39,1)}
       23:{1,2,4,6}:{(9,1),(10,1),(12,1),(29,1),(32,1),(35,1),(40,1),(41,1),(57,1),(59,1),(61,1)}
       24:{1,4,7}:{(9,1),(11,1),(30,1),(36,1)}
       25:{2,4,7}:{(10,1),(11,1),(33,1),(37,1)}
       26:{3,5}:{(12,1),(40,1),(42,1)}
       27:{1,2,4}:{(13,1),(16,1),(43,1),(47,1)}
       28:{1,2,4}:{(14,1),(18,1),(44,1),(50,1)}
       29:{1,2,6}:{(15,1),(16,1),(45,1),(46,1)}
       30:{1,3,7}:{(15,1),(24,1),(46,1),(56,1)}
       31:{2,3,5}:{(16,1),(26,1),(43,1),(45,1),(47,1),(66,1)}
       32:{1,2,6}:{(17,1),(18,1),(48,1),(49,1)}
       33:{2,3,7}:{(17,1),(25,1),(49,1),(56,1)}
       34:{1,3,5}:{(18,1),(26,1),(44,1),(48,1),(50,1),(68,1)}
       35:{1,2,5,6}:{(19,1),(20,1),(23,1),(51,1),(52,1),(66,1),(68,1),(79,1),(80,1)}
       36:{1,5,7}:{(19,1),(21,1),(24,1),(53,1)}
       37:{2,5,7}:{(20,1),(21,1),(25,1),(54,1)}
       38:{3,6,7}:{(21,1),(22,1),(53,1),(54,1)}
       39:{5,6,7}:{(22,1),(82,1)}
       40:{3,6}:{(23,1),(26,1),(56,1)}
       41:{1,2,4,7}:{(23,1),(24,1),(25,1),(46,1),(49,1),(52,1),(56,1),(67,1),(69,1),(71,1)}
       42:{3,4}:{(26,1),(47,1),(50,1)}
       43:{2,3}:{(27,1)}
       44:{1,3}:{(28,1)}
       45:{2,3,6}:{(29,1),(31,1),(40,1),(57,1),(58,1)}
       46:{1,2,7}:{(29,1),(30,1),(58,1)}
       47:{2,4}:{(31,1),(42,1)}
       48:{1,3,6}:{(32,1),(34,1),(40,1),(59,1),(60,1)}
       49:{1,2,7}:{(32,1),(33,1),(60,1)}
       50:{1,4}:{(34,1),(42,1)}
       51:{3,5,6}:{(35,1),(40,1),(61,1),(62,1),(64,1),(78,1),(83,1)}
       52:{1,2,5,7}:{(35,1),(36,1),(37,1),(41,1),(62,1),(63,1),(74,1),(75,1)}
       53:{1,6,7}:{(36,1),(38,1)}
       54:{2,6,7}:{(37,1),(38,1)}
       55:{3,4,6}:{(40,1),(42,1),(57,1),(59,1),(61,1),(64,1),(65,1),(78,1)}
       56:{3,7}:{(40,1),(41,1)}
       57:{2,4,6}:{(45,1),(47,1),(55,1),(66,1),(67,1),(79,1)}
       58:{2,3,7}:{(45,1),(46,1),(56,1),(67,1)}
       59:{1,4,6}:{(48,1),(50,1),(55,1),(68,1),(69,1),(80,1)}
       60:{1,3,7}:{(48,1),(49,1),(56,1),(69,1)}
       61:{4,6}:{(51,1),(70,1),(71,1)}
       62:{3,5,7}:{(51,1),(52,1),(56,1),(71,1),(72,1),(82,1)}
       63:{1,2,6,7}:{(52,1),(53,1),(54,1),(72,1),(79,1),(80,1)}
       64:{3,5}:{(55,1),(66,1),(68,1),(70,1)}
       65:{3,4,7}:{(55,1),(56,1),(67,1),(69,1),(71,1),(73,1)}
       66:{2,5}:{(57,1),(64,1)}
       67:{2,4,7}:{(57,1),(58,1),(65,1),(74,1)}
       68:{1,5}:{(59,1),(64,1)}
       69:{1,4,7}:{(59,1),(60,1),(65,1),(75,1)}
       70:{4,5}:{(61,1),(64,1)}
       71:{4,7}:{(61,1),(62,1)}
       72:{3,6,7}:{(62,1),(63,1),(77,1),(78,1)}
       73:{3,5,7}:{(64,1),(65,1),(74,1),(75,1),(76,1),(78,1)}
       74:{2,5,7}:{(66,1),(67,1),(73,1),(79,1)}
       75:{1,5,7}:{(68,1),(69,1),(73,1),(80,1)}
       76:{4,5,7}:{(70,1),(71,1),(73,1),(81,1),(82,1)}
       77:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       78:{3,6}:{(73,1),(79,1),(80,1),(81,1)}
       79:{2,6}:{(74,1),(78,1)}
       80:{1,6}:{(75,1),(78,1)}
       81:{4,6}:{(76,1),(78,1),(83,1)}
       82:{5,7}:{(77,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 269 :  0:{4,5,6}:{(1,1),(2,1),(44,1),(81,1)}
        1:{3,5,6}:{(0,1),(4,1),(5,1),(6,1),(7,1)}
        2:{4,5,7}:{(0,1),(7,1),(8,1),(59,1),(77,1)}
        3:{3,4,5}:{(4,1),(9,1),(10,1),(35,1),(58,1)}
        4:{3,4,6}:{(1,1),(3,1),(11,1),(12,1),(13,1),(42,1),(44,1)}
        5:{1,5,6}:{(1,1),(11,1),(15,1)}
        6:{2,5,6}:{(1,1),(12,1),(16,1)}
        7:{3,5,7}:{(1,1),(2,1),(13,1),(15,1),(16,1),(17,1)}
        8:{4,6,7}:{(2,1),(17,1),(18,1)}
        9:{1,4,5}:{(3,1),(11,1),(19,1)}
       10:{2,4,5}:{(3,1),(12,1),(20,1)}
       11:{1,4,6}:{(4,1),(5,1),(9,1),(24,1),(27,1)}
       12:{2,4,6}:{(4,1),(6,1),(10,1),(25,1),(28,1)}
       13:{3,4,7}:{(4,1),(7,1),(27,1),(28,1),(57,1),(59,1)}
       14:{1,2,5,6}:{(5,1),(6,1),(26,1),(29,1),(30,1),(71,1),(73,1),(82,1),(83,1)}
       15:{1,5,7}:{(5,1),(7,1),(27,1),(31,1)}
       16:{2,5,7}:{(6,1),(7,1),(28,1),(32,1)}
       17:{3,6,7}:{(7,1),(8,1),(31,1),(32,1)}
       18:{5,6,7}:{(8,1),(77,1)}
       19:{1,3,5}:{(9,1),(22,1),(24,1),(33,1),(35,1)}
       20:{2,3,5}:{(10,1),(23,1),(25,1),(34,1),(35,1)}
       21:{1,2,4,5}:{(9,1),(10,1),(26,1),(33,1),(34,1),(35,1),(58,1),(61,1),(62,1),(71,1),(73,1)}
       22:{1,3,4}:{(19,1),(36,1),(49,1)}
       23:{2,3,4}:{(20,1),(37,1),(49,1)}
       24:{1,3,6}:{(11,1),(19,1),(38,1),(39,1),(42,1)}
       25:{2,3,6}:{(12,1),(20,1),(40,1),(41,1),(42,1)}
       26:{1,2,4,6}:{(11,1),(12,1),(14,1),(21,1),(38,1),(40,1),(42,1),(43,1),(44,1),(63,1),(65,1)}
       27:{1,4,7}:{(11,1),(13,1),(15,1),(39,1)}
       28:{2,4,7}:{(12,1),(13,1),(16,1),(41,1)}
       29:{3,5,6}:{(14,1),(42,1),(44,1),(45,1),(67,1),(80,1),(81,1)}
       30:{1,2,5,7}:{(14,1),(15,1),(16,1),(43,1),(45,1),(46,1),(78,1),(79,1)}
       31:{1,6,7}:{(15,1),(17,1)}
       32:{2,6,7}:{(16,1),(17,1)}
       33:{1,2,5}:{(19,1),(36,1),(38,1),(47,1)}
       34:{1,2,5}:{(20,1),(37,1),(40,1),(48,1)}
       35:{3,5}:{(21,1),(42,1),(49,1)}
       36:{1,2,4}:{(22,1),(33,1),(50,1),(61,1)}
       37:{1,2,4}:{(23,1),(34,1),(51,1),(62,1)}
       38:{1,2,6}:{(24,1),(33,1),(52,1),(53,1)}
       39:{1,3,7}:{(24,1),(27,1),(53,1),(57,1)}
       40:{1,2,6}:{(25,1),(34,1),(54,1),(55,1)}
       41:{2,3,7}:{(25,1),(28,1),(55,1),(57,1)}
       42:{3,6}:{(26,1),(35,1),(57,1)}
       43:{1,2,4,7}:{(26,1),(27,1),(28,1),(30,1),(53,1),(55,1),(57,1),(59,1),(72,1),(74,1)}
       44:{4,6}:{(29,1),(58,1),(59,1)}
       45:{3,5,7}:{(29,1),(30,1),(57,1),(59,1),(60,1),(77,1)}
       46:{1,2,6,7}:{(30,1),(31,1),(32,1),(60,1),(82,1),(83,1)}
       47:{2,3,5}:{(33,1),(35,1),(50,1),(52,1),(61,1),(71,1)}
       48:{1,3,5}:{(34,1),(35,1),(51,1),(54,1),(62,1),(73,1)}
       49:{3,4}:{(35,1),(61,1),(62,1)}
       50:{2,3}:{(36,1)}
       51:{1,3}:{(37,1)}
       52:{2,3,6}:{(38,1),(42,1),(47,1),(63,1),(64,1)}
       53:{1,2,7}:{(38,1),(39,1),(64,1)}
       54:{1,3,6}:{(40,1),(42,1),(48,1),(65,1),(66,1)}
       55:{1,2,7}:{(40,1),(41,1),(66,1)}
       56:{3,4,6}:{(42,1),(44,1),(49,1),(63,1),(65,1),(67,1),(68,1),(80,1)}
       57:{3,7}:{(42,1),(43,1)}
       58:{4,5}:{(44,1),(67,1)}
       59:{4,7}:{(44,1),(45,1)}
       60:{3,6,7}:{(45,1),(46,1),(70,1),(80,1)}
       61:{2,4}:{(47,1),(49,1)}
       62:{1,4}:{(48,1),(49,1)}
       63:{2,4,6}:{(52,1),(56,1),(61,1),(71,1),(72,1),(82,1)}
       64:{2,3,7}:{(52,1),(53,1),(57,1),(72,1)}
       65:{1,4,6}:{(54,1),(56,1),(62,1),(73,1),(74,1),(83,1)}
       66:{1,3,7}:{(54,1),(55,1),(57,1),(74,1)}
       67:{3,5}:{(56,1),(58,1),(71,1),(73,1)}
       68:{3,4,7}:{(56,1),(57,1),(59,1),(72,1),(74,1),(75,1)}
       69:{4,5,7}:{(58,1),(59,1),(75,1),(76,1),(77,1)}
       70:{4,6,7}:{(59,1),(60,1),(76,1),(77,1)}
       71:{2,5}:{(63,1),(67,1)}
       72:{2,4,7}:{(63,1),(64,1),(68,1),(78,1)}
       73:{1,5}:{(65,1),(67,1)}
       74:{1,4,7}:{(65,1),(66,1),(68,1),(79,1)}
       75:{3,5,7}:{(67,1),(68,1),(69,1),(78,1),(79,1),(80,1)}
       76:{4,6}:{(69,1),(80,1),(81,1)}
       77:{5,7}:{(70,1),(81,1)}
       78:{2,5,7}:{(71,1),(72,1),(75,1),(82,1)}
       79:{1,5,7}:{(73,1),(74,1),(75,1),(83,1)}
       80:{3,6}:{(75,1),(76,1),(82,1),(83,1)}
       81:{5,6}:{(76,1),(77,1)}
       82:{2,6}:{(78,1),(80,1)}
       83:{1,6}:{(79,1),(80,1)}

 270 :   0:{3,4,6,7}:{(1,1),(2,1),(3,1),(15,1),(21,1),(43,1),(49,1),(52,1),(55,1),(57,1),(106,1)}
         1:{1,4,6,7}:{(0,1),(4,1),(7,1),(25,1),(34,1),(74,1),(83,1),(133,1)}
         2:{2,4,6,7}:{(0,1),(5,1),(8,1),(29,1),(36,1),(66,1),(82,1),(134,1)}
         3:{3,5,7}:{(0,1),(7,1),(8,1),(9,1),(10,1),(132,1)}
         4:{1,3,6,7}:{(1,1),(11,1),(12,1),(15,1),(55,1),(100,1),(109,1)}
         5:{2,3,6,7}:{(2,1),(13,1),(14,1),(15,1),(57,1),(91,1),(110,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(13,1),(15,1),(16,1),(38,1),(41,1),(44,1),(47,1),(52,1),(53,1),(155,1)}
         7:{1,5,7}:{(1,1),(3,1),(17,1),(153,1)}
         8:{2,5,7}:{(2,1),(3,1),(19,1),(154,1)}
         9:{3,5,6}:{(3,1),(17,1),(19,1),(21,1),(55,1),(57,1)}
        10:{4,5,7}:{(3,1),(21,1),(52,1),(105,1)}
        11:{1,2,6,7}:{(4,1),(22,1),(23,1),(82,1),(130,1),(136,1),(157,1)}
        12:{1,3,5,7}:{(4,1),(7,1),(23,1),(24,1),(25,1),(31,1),(35,1),(63,1)}
        13:{1,2,6,7}:{(5,1),(26,1),(27,1),(83,1),(120,1),(136,1),(162,1)}
        14:{2,3,5,7}:{(5,1),(8,1),(27,1),(28,1),(29,1),(31,1),(37,1),(71,1)}
        15:{3,6,7}:{(6,1),(31,1),(63,1),(71,1),(79,1),(168,1)}
        16:{1,2,5,7}:{(6,1),(7,1),(8,1),(31,1),(32,1),(59,1),(67,1),(167,1)}
        17:{1,5,6}:{(7,1),(9,1),(34,1),(83,1)}
        18:{1,4,5,7}:{(7,1),(10,1),(25,1),(34,1),(35,1),(64,1)}
        19:{2,5,6}:{(8,1),(9,1),(36,1),(82,1)}
        20:{2,4,5,7}:{(8,1),(10,1),(29,1),(36,1),(37,1),(72,1)}
        21:{4,6}:{(9,1),(10,1)}
        22:{2,3,6,7}:{(11,1),(15,1),(38,1),(39,1),(101,1),(110,1),(137,1)}
        23:{1,2,5,7}:{(11,1),(12,1),(39,1),(40,1),(41,1),(56,1),(138,1)}
        24:{1,3,5,6}:{(12,1),(17,1),(40,1),(42,1),(51,1),(55,1),(89,1),(92,1),(109,1),(142,1),(153,1),(171,1)}
        25:{1,4,7}:{(12,1),(42,1),(43,1),(52,1)}
        26:{1,3,6,7}:{(13,1),(15,1),(44,1),(45,1),(90,1),(109,1),(145,1)}
        27:{1,2,5,7}:{(13,1),(14,1),(45,1),(46,1),(47,1),(58,1),(146,1)}
        28:{2,3,5,6}:{(14,1),(19,1),(46,1),(48,1),(51,1),(57,1),(99,1),(102,1),(110,1),(151,1),(154,1),(171,1)}
        29:{2,4,7}:{(14,1),(48,1),(49,1),(52,1)}
        30:{3,4,6,7}:{(15,1),(38,1),(44,1),(50,1),(52,1),(87,1),(97,1),(104,1),(106,1),(137,1),(145,1)}
        31:{3,5,7}:{(15,1),(16,1),(51,1),(52,1),(171,1)}
        32:{1,2,5,6}:{(16,1),(17,1),(19,1),(51,1),(53,1),(84,1),(94,1),(153,1),(154,1)}
        33:{1,2,4,5,7}:{(16,1),(18,1),(20,1),(41,1),(47,1),(52,1),(53,1),(54,1),(56,1),(58,1),(85,1),(88,1),(95,1),(98,1),(105,1),(107,1),(108,1),(111,1),(138,1),(146,1),(153,1),(154,1)}
        34:{1,4,6}:{(17,1),(18,1),(21,1),(55,1)}
        35:{3,5,7}:{(18,1),(43,1),(55,1),(56,1),(92,1)}
        36:{2,4,6}:{(19,1),(20,1),(21,1),(57,1)}
        37:{3,5,7}:{(20,1),(49,1),(57,1),(58,1),(102,1)}
        38:{2,4,6,7}:{(22,1),(30,1),(59,1),(61,1),(112,1),(126,1),(134,1),(162,1)}
        39:{2,3,5,7}:{(22,1),(23,1),(31,1),(59,1),(60,1),(61,1),(63,1),(113,1)}
        40:{1,2,5,6}:{(23,1),(24,1),(60,1),(62,1),(82,1),(121,1),(136,1),(157,1),(158,1),(161,1),(167,1)}
        41:{1,2,4,7}:{(23,1),(25,1),(61,1),(62,1),(63,1),(66,1),(116,1),(120,1)}
        42:{1,4,6}:{(24,1),(25,1),(64,1),(65,1),(77,1),(159,1),(174,1)}
        43:{3,4,7}:{(25,1),(35,1),(63,1),(65,1),(66,1)}
        44:{1,4,6,7}:{(26,1),(30,1),(67,1),(69,1),(116,1),(122,1),(133,1),(157,1)}
        45:{1,3,5,7}:{(26,1),(27,1),(31,1),(67,1),(68,1),(69,1),(71,1),(123,1)}
        46:{1,2,5,6}:{(27,1),(28,1),(68,1),(70,1),(83,1),(131,1),(136,1),(162,1),(163,1),(166,1),(167,1)}
        47:{1,2,4,7}:{(27,1),(29,1),(69,1),(70,1),(71,1),(74,1),(126,1),(130,1)}
        48:{2,4,6}:{(28,1),(29,1),(72,1),(73,1),(77,1),(165,1),(174,1)}
        49:{3,4,7}:{(29,1),(37,1),(71,1),(73,1),(74,1)}
        50:{3,5,7}:{(30,1),(59,1),(67,1),(75,1),(76,1),(132,1)}
        51:{3,5,6}:{(31,1),(32,1),(77,1),(79,1),(132,1)}
        52:{4,7}:{(31,1),(77,1),(174,1)}
        53:{1,2,4,6}:{(32,1),(33,1),(34,1),(36,1),(77,1),(79,1),(82,1),(83,1),(112,1),(122,1),(133,1),(134,1),(136,1),(157,1),(162,1)}
        54:{3,5,7}:{(33,1),(63,1),(71,1),(78,1),(79,1),(117,1),(127,1),(132,1)}
        55:{3,6}:{(34,1),(35,1),(82,1)}
        56:{2,5,7}:{(35,1),(66,1),(82,1),(121,1)}
        57:{3,6}:{(36,1),(37,1),(83,1)}
        58:{1,5,7}:{(37,1),(74,1),(83,1),(131,1)}
        59:{2,5,7}:{(38,1),(50,1),(84,1),(154,1)}
        60:{2,3,5,6}:{(39,1),(40,1),(51,1),(84,1),(86,1),(89,1),(110,1),(137,1),(139,1),(143,1),(154,1),(171,1)}
        61:{2,4,7}:{(39,1),(52,1),(86,1),(87,1)}
        62:{1,2,4,6}:{(40,1),(41,1),(42,1),(86,1),(88,1),(89,1),(93,1),(140,1),(144,1),(169,1)}
        63:{3,7}:{(41,1),(89,1)}
        64:{1,4,5}:{(42,1),(92,1),(105,1),(153,1)}
        65:{3,4,6}:{(42,1),(43,1),(55,1),(89,1),(92,1),(93,1),(141,1)}
        66:{2,4,7}:{(43,1),(56,1),(91,1),(93,1)}
        67:{1,5,7}:{(44,1),(50,1),(94,1),(153,1)}
        68:{1,3,5,6}:{(45,1),(46,1),(51,1),(94,1),(96,1),(99,1),(109,1),(145,1),(147,1),(150,1),(153,1),(171,1)}
        69:{1,4,7}:{(45,1),(52,1),(96,1),(97,1)}
        70:{1,2,4,6}:{(46,1),(47,1),(48,1),(96,1),(98,1),(99,1),(103,1),(148,1),(152,1),(170,1)}
        71:{3,7}:{(47,1),(99,1)}
        72:{2,4,5}:{(48,1),(102,1),(105,1),(154,1)}
        73:{3,4,6}:{(48,1),(49,1),(57,1),(99,1),(102,1),(103,1),(149,1)}
        74:{1,4,7}:{(49,1),(58,1),(100,1),(103,1)}
        75:{3,5,6}:{(50,1),(84,1),(94,1),(104,1),(137,1),(145,1)}
        76:{4,5,7}:{(50,1),(52,1),(104,1),(105,1)}
        77:{4,6}:{(51,1),(52,1),(105,1)}
        78:{3,4,7}:{(52,1),(54,1),(106,1),(107,1),(108,1),(141,1),(149,1),(156,1)}
        79:{3,6}:{(53,1),(54,1)}
        80:{1,3,5,7}:{(54,1),(58,1),(90,1),(100,1),(107,1),(109,1),(111,1),(138,1),(142,1),(150,1),(153,1),(156,1),(171,1)}
        81:{2,3,5,7}:{(54,1),(56,1),(91,1),(101,1),(108,1),(110,1),(111,1),(143,1),(146,1),(151,1),(154,1),(156,1),(171,1)}
        82:{2,6}:{(55,1),(56,1)}
        83:{1,6}:{(57,1),(58,1)}
        84:{2,5,6}:{(59,1),(75,1),(112,1),(162,1)}
        85:{2,4,5,7}:{(59,1),(61,1),(76,1),(112,1),(113,1),(114,1)}
        86:{2,4,6}:{(60,1),(61,1),(77,1),(114,1),(115,1),(160,1),(174,1)}
        87:{3,4,7}:{(61,1),(63,1),(113,1),(115,1),(116,1)}
        88:{1,2,4,5}:{(62,1),(64,1),(114,1),(117,1),(121,1),(158,1),(159,1),(160,1),(161,1),(167,1),(174,1)}
        89:{3,6}:{(62,1),(63,1),(117,1),(172,1)}
        90:{1,3,7}:{(63,1),(116,1),(118,1),(120,1)}
        91:{2,3,7}:{(63,1),(66,1),(119,1),(120,1)}
        92:{3,5}:{(64,1),(65,1),(121,1)}
        93:{2,4,6}:{(65,1),(66,1),(82,1),(119,1),(121,1),(160,1)}
        94:{1,5,6}:{(67,1),(75,1),(122,1),(157,1)}
        95:{1,4,5,7}:{(67,1),(69,1),(76,1),(122,1),(123,1),(124,1)}
        96:{1,4,6}:{(68,1),(69,1),(77,1),(124,1),(125,1),(164,1),(174,1)}
        97:{3,4,7}:{(69,1),(71,1),(123,1),(125,1),(126,1)}
        98:{1,2,4,5}:{(70,1),(72,1),(124,1),(127,1),(131,1),(163,1),(164,1),(165,1),(166,1),(167,1),(174,1)}
        99:{3,6}:{(70,1),(71,1),(127,1),(173,1)}
       100:{1,3,7}:{(71,1),(74,1),(128,1),(130,1)}
       101:{2,3,7}:{(71,1),(126,1),(129,1),(130,1)}
       102:{3,5}:{(72,1),(73,1),(131,1)}
       103:{1,4,6}:{(73,1),(74,1),(83,1),(128,1),(131,1),(164,1)}
       104:{4,6}:{(75,1),(76,1)}
       105:{4,5}:{(77,1),(132,1),(174,1)}
       106:{3,4,6}:{(77,1),(78,1),(79,1),(132,1),(133,1),(134,1),(168,1),(174,1)}
       107:{1,4,7}:{(78,1),(80,1),(133,1),(159,1),(164,1),(174,1)}
       108:{2,4,7}:{(78,1),(81,1),(134,1),(160,1),(165,1),(174,1)}
       109:{1,3,6}:{(79,1),(80,1),(83,1),(133,1),(136,1),(157,1),(168,1)}
       110:{2,3,6}:{(79,1),(81,1),(82,1),(134,1),(136,1),(162,1),(168,1)}
       111:{1,2,5,7}:{(80,1),(81,1),(120,1),(130,1),(135,1),(136,1),(161,1),(166,1),(167,1)}
       112:{2,4,6}:{(84,1),(85,1),(104,1),(137,1)}
       113:{3,5,7}:{(85,1),(87,1),(137,1),(138,1),(139,1)}
       114:{2,4,5}:{(86,1),(105,1),(139,1),(154,1)}
       115:{3,4,6}:{(86,1),(87,1),(89,1),(137,1),(139,1),(140,1),(141,1)}
       116:{1,4,7}:{(87,1),(90,1),(138,1),(140,1)}
       117:{3,5}:{(88,1),(89,1),(141,1)}
       118:{1,3,6}:{(89,1),(90,1),(140,1),(142,1),(144,1)}
       119:{2,3,6}:{(89,1),(91,1),(93,1),(143,1),(144,1)}
       120:{1,2,7}:{(90,1),(91,1),(144,1)}
       121:{2,5}:{(92,1),(93,1)}
       122:{1,4,6}:{(94,1),(95,1),(104,1),(145,1)}
       123:{3,5,7}:{(95,1),(97,1),(145,1),(146,1),(147,1)}
       124:{1,4,5}:{(96,1),(105,1),(147,1),(153,1)}
       125:{3,4,6}:{(96,1),(97,1),(99,1),(145,1),(147,1),(148,1),(149,1)}
       126:{2,4,7}:{(97,1),(101,1),(146,1),(148,1)}
       127:{3,5}:{(98,1),(99,1),(149,1)}
       128:{1,3,6}:{(99,1),(100,1),(103,1),(150,1),(152,1)}
       129:{2,3,6}:{(99,1),(101,1),(148,1),(151,1),(152,1)}
       130:{1,2,7}:{(100,1),(101,1),(152,1)}
       131:{1,5}:{(102,1),(103,1)}
       132:{3,5}:{(105,1),(106,1),(153,1),(154,1)}
       133:{1,4,6}:{(106,1),(107,1),(109,1),(153,1)}
       134:{2,4,6}:{(106,1),(108,1),(110,1),(154,1)}
       135:{1,2,4,7}:{(107,1),(108,1),(111,1),(155,1),(156,1),(169,1),(170,1)}
       136:{1,2,6}:{(109,1),(110,1),(111,1)}
       137:{3,6}:{(112,1),(113,1),(157,1)}
       138:{1,5,7}:{(113,1),(116,1),(157,1),(158,1)}
       139:{3,5}:{(114,1),(115,1),(158,1)}
       140:{1,4,6}:{(115,1),(116,1),(118,1),(157,1),(158,1),(159,1)}
       141:{3,4}:{(117,1),(159,1),(160,1),(172,1),(174,1)}
       142:{1,3,5}:{(117,1),(118,1),(158,1),(159,1),(161,1),(172,1)}
       143:{2,3,5}:{(117,1),(119,1),(121,1),(160,1),(161,1),(172,1)}
       144:{1,2,6}:{(118,1),(119,1),(120,1),(161,1)}
       145:{3,6}:{(122,1),(123,1),(162,1)}
       146:{2,5,7}:{(123,1),(126,1),(162,1),(163,1)}
       147:{3,5}:{(124,1),(125,1),(163,1)}
       148:{2,4,6}:{(125,1),(126,1),(129,1),(162,1),(163,1),(165,1)}
       149:{3,4}:{(127,1),(164,1),(165,1),(173,1),(174,1)}
       150:{1,3,5}:{(127,1),(128,1),(131,1),(164,1),(166,1),(173,1)}
       151:{2,3,5}:{(127,1),(129,1),(163,1),(165,1),(166,1),(173,1)}
       152:{1,2,6}:{(128,1),(129,1),(130,1),(166,1)}
       153:{1,5}:{(132,1),(133,1)}
       154:{2,5}:{(132,1),(134,1)}
       155:{1,2,4,6}:{(133,1),(134,1),(135,1),(136,1),(167,1),(168,1),(174,1)}
       156:{3,7}:{(135,1),(168,1),(172,1),(173,1)}
       157:{1,6}:{(137,1),(138,1)}
       158:{1,5}:{(139,1),(140,1)}
       159:{1,4}:{(141,1),(142,1)}
       160:{2,4}:{(141,1),(143,1)}
       161:{1,2,5}:{(142,1),(143,1),(144,1),(169,1)}
       162:{2,6}:{(145,1),(146,1)}
       163:{2,5}:{(147,1),(148,1)}
       164:{1,4}:{(149,1),(150,1)}
       165:{2,4}:{(149,1),(151,1)}
       166:{1,2,5}:{(150,1),(151,1),(152,1),(170,1)}
       167:{1,2,5}:{(153,1),(154,1),(155,1),(171,1)}
       168:{3,6}:{(155,1),(156,1),(171,1)}
       169:{1,2,4}:{(159,1),(160,1),(161,1),(172,1)}
       170:{1,2,4}:{(164,1),(165,1),(166,1),(173,1)}
       171:{3,5}:{(167,1),(168,1),(174,1)}
       172:{3}:{(169,1)}
       173:{3}:{(170,1)}
       174:{4}:{(171,1)}

 271 :   0:{3,5,6,7}:{(1,1),(2,1),(3,1),(9,1),(11,1),(13,1)}
         1:{1,5,6,7}:{(0,1),(4,1),(22,1),(26,1)}
         2:{2,5,6,7}:{(0,1),(5,1),(19,1),(27,1)}
         3:{4,6,7}:{(0,1),(6,1)}
         4:{1,4,6,7}:{(1,1),(3,1),(8,1),(9,1)}
         5:{2,4,6,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{4,5,7}:{(3,1),(12,1),(13,1),(93,1)}
         7:{3,4,6,7}:{(3,1),(9,1),(11,1),(13,1),(14,1),(15,1),(30,1),(35,1),(39,1),(45,1),(93,1)}
         8:{1,4,5,7}:{(4,1),(6,1),(16,1),(17,1),(26,1),(49,1)}
         9:{3,6,7}:{(4,1),(17,1),(19,1)}
        10:{2,4,5,7}:{(5,1),(6,1),(20,1),(21,1),(27,1),(57,1)}
        11:{3,6,7}:{(5,1),(21,1),(22,1)}
        12:{4,5,6}:{(6,1),(24,1),(120,1)}
        13:{3,5,7}:{(6,1),(7,1),(24,1),(26,1),(27,1)}
        14:{1,4,6,7}:{(7,1),(18,1),(22,1),(26,1),(49,1),(56,1),(60,1)}
        15:{2,4,6,7}:{(7,1),(19,1),(23,1),(27,1),(50,1),(57,1),(61,1)}
        16:{1,4,5,6}:{(8,1),(12,1),(29,1),(40,1),(69,1)}
        17:{3,5,7}:{(8,1),(9,1),(29,1),(30,1),(32,1)}
        18:{1,3,6,7}:{(9,1),(14,1),(31,1),(33,1),(45,1),(81,1),(86,1)}
        19:{2,6,7}:{(9,1),(32,1)}
        20:{2,4,5,6}:{(10,1),(12,1),(34,1),(41,1),(79,1)}
        21:{3,5,7}:{(10,1),(11,1),(34,1),(35,1),(36,1)}
        22:{1,6,7}:{(11,1),(36,1)}
        23:{2,3,6,7}:{(11,1),(15,1),(37,1),(38,1),(45,1),(73,1),(87,1)}
        24:{3,5,6}:{(12,1),(13,1),(39,1),(40,1),(41,1)}
        25:{3,4,5,7}:{(13,1),(30,1),(35,1),(39,1),(42,1),(43,1),(68,1),(77,1),(92,1),(93,1),(153,1)}
        26:{1,5,7}:{(13,1),(14,1),(40,1)}
        27:{2,5,7}:{(13,1),(15,1),(41,1)}
        28:{1,2,4,6,7}:{(14,1),(15,1),(33,1),(38,1),(44,1),(45,1),(74,1),(76,1),(83,1),(85,1),(88,1),(93,1)}
        29:{3,5,6}:{(16,1),(17,1),(46,1),(48,1)}
        30:{3,4,7}:{(17,1),(46,1),(49,1),(50,1),(103,1)}
        31:{1,3,5,7}:{(17,1),(18,1),(26,1),(47,1),(49,1),(51,1),(66,1),(103,1)}
        32:{2,5,7}:{(17,1),(19,1),(48,1),(50,1)}
        33:{1,2,6,7}:{(18,1),(19,1),(51,1),(52,1),(112,1),(117,1),(204,1)}
        34:{3,5,6}:{(20,1),(21,1),(53,1),(54,1)}
        35:{3,4,7}:{(21,1),(53,1),(56,1),(57,1),(114,1)}
        36:{1,5,7}:{(21,1),(22,1),(54,1),(56,1)}
        37:{2,3,5,7}:{(21,1),(23,1),(27,1),(55,1),(57,1),(58,1),(66,1),(114,1)}
        38:{1,2,6,7}:{(22,1),(23,1),(58,1),(59,1),(102,1),(118,1),(209,1)}
        39:{3,4,6}:{(24,1),(25,1),(60,1),(61,1),(119,1),(120,1)}
        40:{1,5,6}:{(24,1),(26,1),(60,1)}
        41:{2,5,6}:{(24,1),(27,1),(61,1)}
        42:{1,4,5,7}:{(25,1),(26,1),(49,1),(56,1),(60,1),(63,1),(95,1),(106,1)}
        43:{2,4,5,7}:{(25,1),(27,1),(50,1),(57,1),(61,1),(64,1),(96,1),(107,1)}
        44:{1,2,5,7}:{(26,1),(27,1),(28,1),(62,1),(66,1),(105,1),(116,1)}
        45:{3,6,7}:{(28,1),(66,1),(103,1),(114,1),(119,1)}
        46:{3,4,6}:{(29,1),(30,1),(68,1),(69,1),(70,1),(131,1)}
        47:{1,3,5,6}:{(29,1),(31,1),(40,1),(69,1),(71,1),(86,1),(89,1),(126,1),(131,1)}
        48:{2,5,6}:{(29,1),(32,1),(70,1)}
        49:{1,4,7}:{(30,1),(31,1),(69,1),(93,1)}
        50:{2,4,7}:{(30,1),(32,1),(70,1),(73,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(71,1),(74,1),(75,1),(188,1)}
        52:{2,3,6,7}:{(33,1),(45,1),(75,1),(76,1),(145,1),(150,1),(189,1)}
        53:{3,4,6}:{(34,1),(35,1),(77,1),(78,1),(79,1),(143,1)}
        54:{1,5,6}:{(34,1),(36,1),(78,1)}
        55:{2,3,5,6}:{(34,1),(37,1),(41,1),(79,1),(80,1),(87,1),(89,1),(139,1),(143,1)}
        56:{1,4,7}:{(35,1),(36,1),(78,1),(81,1)}
        57:{2,4,7}:{(35,1),(37,1),(79,1),(93,1)}
        58:{1,2,5,7}:{(36,1),(37,1),(38,1),(80,1),(83,1),(84,1),(196,1)}
        59:{1,3,6,7}:{(38,1),(45,1),(84,1),(85,1),(134,1),(151,1),(197,1)}
        60:{1,4,6}:{(39,1),(40,1),(42,1),(86,1)}
        61:{2,4,6}:{(39,1),(41,1),(43,1),(87,1)}
        62:{1,2,5,6}:{(40,1),(41,1),(44,1),(88,1),(89,1),(137,1),(149,1),(198,1),(199,1)}
        63:{1,3,5,7}:{(42,1),(72,1),(81,1),(86,1),(90,1),(92,1),(126,1),(138,1),(188,1)}
        64:{2,3,5,7}:{(43,1),(73,1),(82,1),(87,1),(91,1),(92,1),(127,1),(139,1),(196,1)}
        65:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(74,1),(83,1),(88,1),(90,1),(91,1),(92,1),(93,1),(128,1),(136,1),(140,1),(148,1),(153,1),(154,1),(155,1),(188,1),(196,1),(198,1),(199,1)}
        66:{3,5,7}:{(44,1),(45,1),(89,1),(93,1)}
        67:{3,4,6,7}:{(45,1),(76,1),(85,1),(93,1),(94,1),(135,1),(147,1),(152,1),(156,1),(189,1),(197,1)}
        68:{3,4,5}:{(46,1),(95,1),(96,1),(160,1)}
        69:{1,4,6}:{(46,1),(47,1),(49,1),(95,1),(120,1)}
        70:{2,4,6}:{(46,1),(48,1),(50,1),(96,1),(98,1)}
        71:{1,2,5,6}:{(47,1),(48,1),(51,1),(99,1),(100,1),(117,1),(158,1),(203,1),(204,1)}
        72:{1,3,4,7}:{(49,1),(63,1),(97,1),(101,1),(103,1),(123,1),(165,1),(168,1)}
        73:{2,3,7}:{(50,1),(98,1),(102,1),(103,1)}
        74:{1,2,4,7}:{(49,1),(50,1),(51,1),(99,1),(102,1),(103,1),(104,1),(165,1)}
        75:{2,3,5,7}:{(51,1),(52,1),(66,1),(100,1),(103,1),(104,1),(105,1),(166,1)}
        76:{2,4,6,7}:{(52,1),(67,1),(104,1),(105,1),(167,1),(176,1),(179,1),(209,1)}
        77:{3,4,5}:{(53,1),(106,1),(107,1),(171,1)}
        78:{1,4,6}:{(53,1),(54,1),(56,1),(106,1),(108,1)}
        79:{2,4,6}:{(53,1),(55,1),(57,1),(107,1),(120,1)}
        80:{1,2,5,6}:{(54,1),(55,1),(58,1),(110,1),(111,1),(118,1),(170,1),(208,1),(209,1)}
        81:{1,3,7}:{(56,1),(108,1),(112,1),(114,1)}
        82:{2,3,4,7}:{(57,1),(64,1),(109,1),(113,1),(114,1),(123,1),(157,1),(176,1)}
        83:{1,2,4,7}:{(56,1),(57,1),(58,1),(110,1),(112,1),(114,1),(115,1),(176,1)}
        84:{1,3,5,7}:{(58,1),(59,1),(66,1),(111,1),(114,1),(115,1),(116,1),(177,1)}
        85:{1,4,6,7}:{(59,1),(67,1),(115,1),(116,1),(165,1),(178,1),(180,1),(204,1)}
        86:{1,3,6}:{(60,1),(63,1),(117,1),(119,1),(204,1)}
        87:{2,3,6}:{(61,1),(64,1),(118,1),(119,1),(209,1)}
        88:{1,2,4,6}:{(60,1),(61,1),(62,1),(65,1),(117,1),(118,1),(119,1),(120,1),(167,1),(178,1),(179,1),(180,1),(204,1),(209,1)}
        89:{3,5,6}:{(62,1),(66,1),(119,1),(120,1),(181,1)}
        90:{1,2,5,7}:{(63,1),(101,1),(112,1),(117,1),(121,1),(158,1),(169,1)}
        91:{1,2,5,7}:{(64,1),(102,1),(113,1),(118,1),(122,1),(159,1),(170,1)}
        92:{3,5,7}:{(65,1),(103,1),(114,1),(119,1),(123,1),(160,1),(171,1),(181,1)}
        93:{4,7}:{(66,1),(120,1)}
        94:{3,5,7}:{(67,1),(105,1),(116,1),(124,1),(125,1),(181,1)}
        95:{1,4,5}:{(68,1),(69,1),(126,1),(153,1)}
        96:{2,4,5}:{(68,1),(70,1),(127,1)}
        97:{1,3,4,6}:{(69,1),(72,1),(86,1),(126,1),(129,1),(131,1),(152,1),(185,1),(186,1)}
        98:{2,3,6}:{(70,1),(73,1),(127,1),(130,1),(131,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(71,1),(74,1),(128,1),(130,1),(131,1),(132,1),(186,1)}
       100:{2,3,5,6}:{(71,1),(75,1),(89,1),(131,1),(132,1),(137,1),(150,1),(183,1),(187,1),(189,1),(198,1)}
       101:{1,2,4,7}:{(72,1),(90,1),(129,1),(133,1),(154,1),(190,1)}
       102:{1,2,7}:{(73,1),(130,1),(134,1)}
       103:{3,7}:{(74,1),(131,1)}
       104:{2,4,7}:{(75,1),(93,1),(132,1),(135,1)}
       105:{2,5,7}:{(76,1),(94,1),(137,1),(198,1)}
       106:{1,4,5}:{(77,1),(78,1),(138,1)}
       107:{2,4,5}:{(77,1),(79,1),(139,1),(153,1)}
       108:{1,3,6}:{(78,1),(81,1),(138,1),(141,1),(143,1)}
       109:{2,3,4,6}:{(79,1),(82,1),(87,1),(139,1),(142,1),(143,1),(152,1),(193,1),(194,1)}
       110:{1,2,4,6}:{(78,1),(79,1),(80,1),(83,1),(140,1),(141,1),(143,1),(144,1),(194,1)}
       111:{1,3,5,6}:{(80,1),(84,1),(89,1),(143,1),(144,1),(149,1),(151,1),(192,1),(195,1),(197,1),(199,1)}
       112:{1,2,7}:{(81,1),(141,1),(145,1)}
       113:{1,2,4,7}:{(82,1),(91,1),(142,1),(146,1),(155,1),(182,1)}
       114:{3,7}:{(83,1),(143,1)}
       115:{1,4,7}:{(84,1),(93,1),(144,1),(147,1)}
       116:{1,5,7}:{(85,1),(94,1),(149,1),(199,1)}
       117:{1,2,6}:{(86,1),(90,1),(150,1)}
       118:{1,2,6}:{(87,1),(91,1),(151,1)}
       119:{3,6}:{(88,1),(92,1)}
       120:{4,6}:{(89,1),(93,1),(153,1)}
       121:{2,3,5,7}:{(90,1),(92,1),(133,1),(145,1),(150,1),(154,1),(183,1),(191,1),(196,1),(198,1)}
       122:{1,3,5,7}:{(91,1),(92,1),(134,1),(146,1),(151,1),(155,1),(184,1),(188,1),(192,1),(199,1)}
       123:{3,4,7}:{(92,1),(93,1),(152,1),(154,1),(155,1),(185,1),(193,1)}
       124:{4,5,7}:{(93,1),(94,1),(153,1),(156,1)}
       125:{3,5,6}:{(94,1),(137,1),(149,1),(156,1),(189,1),(197,1)}
       126:{1,3,5}:{(95,1),(97,1),(158,1),(160,1),(181,1),(203,1)}
       127:{2,3,5}:{(96,1),(98,1),(157,1),(159,1),(160,1)}
       128:{1,2,4,5}:{(95,1),(96,1),(99,1),(158,1),(159,1),(160,1),(164,1),(201,1),(202,1),(203,1)}
       129:{1,2,4,6}:{(97,1),(101,1),(117,1),(158,1),(161,1),(179,1),(201,1)}
       130:{1,2,6}:{(98,1),(102,1),(159,1),(162,1)}
       131:{3,6}:{(99,1),(103,1),(160,1)}
       132:{2,4,6}:{(100,1),(104,1),(120,1),(163,1),(164,1),(201,1)}
       133:{2,3,7}:{(101,1),(103,1),(161,1),(205,1)}
       134:{1,3,7}:{(102,1),(103,1),(162,1),(165,1)}
       135:{3,4,7}:{(103,1),(104,1),(163,1),(165,1),(166,1)}
       136:{2,4,5,7}:{(104,1),(105,1),(124,1),(164,1),(166,1),(167,1)}
       137:{2,5,6}:{(105,1),(125,1),(167,1),(209,1)}
       138:{1,3,5}:{(106,1),(108,1),(168,1),(169,1),(171,1)}
       139:{2,3,5}:{(107,1),(109,1),(170,1),(171,1),(181,1),(208,1)}
       140:{1,2,4,5}:{(106,1),(107,1),(110,1),(169,1),(170,1),(171,1),(175,1),(206,1),(207,1),(208,1)}
       141:{1,2,6}:{(108,1),(112,1),(169,1),(172,1)}
       142:{1,2,4,6}:{(109,1),(113,1),(118,1),(170,1),(173,1),(180,1),(207,1)}
       143:{3,6}:{(110,1),(114,1),(171,1)}
       144:{1,4,6}:{(111,1),(115,1),(120,1),(174,1),(175,1),(207,1)}
       145:{2,3,7}:{(112,1),(114,1),(172,1),(176,1)}
       146:{1,3,7}:{(113,1),(114,1),(173,1),(200,1)}
       147:{3,4,7}:{(114,1),(115,1),(174,1),(176,1),(177,1)}
       148:{1,4,5,7}:{(115,1),(116,1),(124,1),(175,1),(177,1),(178,1)}
       149:{1,5,6}:{(116,1),(125,1),(178,1),(204,1)}
       150:{2,3,6}:{(117,1),(119,1),(121,1),(179,1),(209,1)}
       151:{1,3,6}:{(118,1),(119,1),(122,1),(180,1),(204,1)}
       152:{3,4,6}:{(119,1),(120,1),(123,1),(179,1),(180,1),(181,1)}
       153:{4,5}:{(120,1),(181,1)}
       154:{2,4,7}:{(121,1),(123,1),(179,1),(201,1),(206,1)}
       155:{1,4,7}:{(122,1),(123,1),(180,1),(202,1),(207,1)}
       156:{4,6}:{(124,1),(125,1)}
       157:{2,3,4}:{(127,1),(182,1),(185,1)}
       158:{1,2,5}:{(126,1),(129,1),(183,1),(198,1)}
       159:{1,2,5}:{(127,1),(130,1),(182,1),(184,1)}
       160:{3,5}:{(128,1),(131,1),(185,1)}
       161:{2,3,6}:{(129,1),(131,1),(133,1),(183,1)}
       162:{1,3,6}:{(130,1),(131,1),(134,1),(184,1),(186,1)}
       163:{3,4,6}:{(131,1),(132,1),(135,1),(185,1),(186,1),(187,1),(189,1)}
       164:{2,4,5}:{(132,1),(153,1),(187,1),(198,1)}
       165:{1,4,7}:{(134,1),(135,1),(186,1),(188,1)}
       166:{3,5,7}:{(135,1),(136,1),(187,1),(188,1),(189,1)}
       167:{2,4,6}:{(136,1),(137,1),(156,1),(189,1)}
       168:{1,3,4}:{(138,1),(190,1),(193,1)}
       169:{1,2,5}:{(138,1),(141,1),(190,1),(191,1)}
       170:{1,2,5}:{(139,1),(142,1),(192,1),(199,1)}
       171:{3,5}:{(140,1),(143,1),(193,1)}
       172:{2,3,6}:{(141,1),(143,1),(145,1),(191,1),(194,1)}
       173:{1,3,6}:{(142,1),(143,1),(146,1),(192,1)}
       174:{3,4,6}:{(143,1),(144,1),(147,1),(193,1),(194,1),(195,1),(197,1)}
       175:{1,4,5}:{(144,1),(153,1),(195,1),(199,1)}
       176:{2,4,7}:{(145,1),(147,1),(194,1),(196,1)}
       177:{3,5,7}:{(147,1),(148,1),(195,1),(196,1),(197,1)}
       178:{1,4,6}:{(148,1),(149,1),(156,1),(197,1)}
       179:{2,4,6}:{(150,1),(152,1),(154,1),(198,1)}
       180:{1,4,6}:{(151,1),(152,1),(155,1),(199,1)}
       181:{3,5}:{(152,1),(153,1),(198,1),(199,1)}
       182:{1,2,4}:{(157,1),(159,1),(200,1),(202,1)}
       183:{2,3,5}:{(158,1),(160,1),(161,1),(201,1)}
       184:{1,3,5}:{(159,1),(160,1),(162,1),(200,1),(202,1),(203,1)}
       185:{3,4}:{(160,1),(201,1),(202,1)}
       186:{1,4,6}:{(162,1),(163,1),(165,1),(202,1),(203,1),(204,1)}
       187:{3,5}:{(163,1),(164,1),(203,1)}
       188:{1,5,7}:{(165,1),(166,1),(203,1),(204,1)}
       189:{3,6}:{(166,1),(167,1),(204,1)}
       190:{1,2,4}:{(168,1),(169,1),(205,1),(206,1)}
       191:{2,3,5}:{(169,1),(171,1),(172,1),(205,1),(206,1),(208,1)}
       192:{1,3,5}:{(170,1),(171,1),(173,1),(207,1)}
       193:{3,4}:{(171,1),(206,1),(207,1)}
       194:{2,4,6}:{(172,1),(174,1),(176,1),(206,1),(208,1),(209,1)}
       195:{3,5}:{(174,1),(175,1),(208,1)}
       196:{2,5,7}:{(176,1),(177,1),(208,1),(209,1)}
       197:{3,6}:{(177,1),(178,1),(209,1)}
       198:{2,5}:{(179,1),(181,1)}
       199:{1,5}:{(180,1),(181,1)}
       200:{1,3}:{(182,1)}
       201:{2,4}:{(183,1),(185,1)}
       202:{1,4}:{(184,1),(185,1)}
       203:{1,5}:{(186,1),(187,1)}
       204:{1,6}:{(188,1),(189,1)}
       205:{2,3}:{(190,1)}
       206:{2,4}:{(191,1),(193,1)}
       207:{1,4}:{(192,1),(193,1)}
       208:{2,5}:{(194,1),(195,1)}
       209:{2,6}:{(196,1),(197,1)}

 272 :  0:{1,2,4,6}:{(1,1),(2,1),(3,1),(10,1),(11,1),(14,1),(19,1),(21,1),(49,1),(52,1)}
        1:{3,6}:{(0,1),(7,1),(8,1),(67,1)}
        2:{1,2,5}:{(0,1),(7,1),(24,1),(26,1),(70,1)}
        3:{1,2,4,7}:{(0,1),(8,1),(9,1),(25,1),(27,1),(31,1),(34,1)}
        4:{3,4,6}:{(1,1),(10,1),(11,1),(12,1),(13,1),(19,1),(38,1),(40,1),(48,1),(50,1),(51,1),(52,1),(71,1),(74,1),(78,1),(96,1)}
        5:{1,3,6}:{(1,1),(10,1),(14,1),(15,1),(16,1),(40,1),(71,1),(84,1)}
        6:{2,3,6}:{(1,1),(11,1),(14,1),(17,1),(18,1),(40,1),(74,1),(85,1)}
        7:{3,5}:{(1,1),(2,1),(19,1)}
        8:{3,7}:{(1,1),(3,1)}
        9:{1,2,5,7}:{(2,1),(3,1),(20,1),(21,1),(44,1),(46,1)}
       10:{1,4,6}:{(4,1),(5,1),(24,1),(25,1),(32,1),(63,1),(69,1),(88,1)}
       11:{2,4,6}:{(4,1),(6,1),(26,1),(27,1),(33,1),(65,1),(68,1),(86,1)}
       12:{3,5}:{(4,1),(24,1),(26,1),(28,1),(70,1),(97,1)}
       13:{3,4,7}:{(4,1),(8,1),(25,1),(27,1),(29,1),(34,1),(57,1),(60,1),(87,1),(89,1),(91,1)}
       14:{1,2,6}:{(5,1),(6,1),(30,1),(31,1),(86,1),(88,1),(93,1)}
       15:{1,3,5}:{(5,1),(7,1),(24,1),(30,1),(32,1),(59,1),(62,1),(67,1)}
       16:{1,3,7}:{(5,1),(8,1),(25,1),(31,1),(60,1),(87,1)}
       17:{2,3,5}:{(6,1),(7,1),(26,1),(30,1),(33,1),(59,1),(64,1),(67,1)}
       18:{2,3,7}:{(6,1),(8,1),(27,1),(31,1),(60,1),(89,1)}
       19:{4}:{(7,1)}
       20:{3,5,7}:{(7,1),(8,1),(9,1),(34,1),(35,1),(70,1)}
       21:{1,2,6}:{(9,1),(35,1),(63,1),(65,1)}
       22:{3,5,6}:{(12,1),(36,1),(37,1),(38,1),(39,1),(48,1),(71,1),(74,1),(83,1)}
       23:{1,2,4,6}:{(10,1),(11,1),(14,1),(40,1),(41,1),(42,1),(49,1),(78,1),(80,1),(96,1)}
       24:{1,5}:{(10,1),(12,1)}
       25:{1,4,7}:{(10,1),(13,1),(16,1),(44,1),(95,1)}
       26:{2,5}:{(11,1),(12,1)}
       27:{2,4,7}:{(11,1),(13,1),(18,1),(46,1),(94,1)}
       28:{4,5}:{(12,1),(19,1),(38,1),(78,1)}
       29:{3,5,7}:{(12,1),(13,1),(44,1),(46,1),(47,1),(48,1)}
       30:{1,2,5}:{(14,1),(15,1),(17,1),(49,1),(81,1),(82,1)}
       31:{1,2,7}:{(14,1),(16,1),(18,1),(94,1),(95,1)}
       32:{1,4}:{(15,1),(19,1),(50,1),(78,1)}
       33:{2,4}:{(17,1),(19,1),(51,1),(78,1)}
       34:{4,7}:{(19,1),(20,1),(52,1)}
       35:{3,6}:{(20,1),(21,1),(52,1)}
       36:{1,5,6}:{(22,1),(24,1),(53,1),(54,1),(63,1),(88,1)}
       37:{2,5,6}:{(22,1),(26,1),(55,1),(56,1),(65,1),(86,1)}
       38:{4,6}:{(22,1),(28,1),(57,1)}
       39:{3,5,7}:{(22,1),(54,1),(56,1),(57,1),(58,1),(87,1),(89,1),(90,1)}
       40:{3,6}:{(23,1),(59,1),(60,1),(67,1)}
       41:{1,2,5}:{(23,1),(24,1),(26,1),(59,1),(97,1)}
       42:{1,2,4,7}:{(23,1),(25,1),(27,1),(31,1),(60,1),(61,1),(91,1)}
       43:{1,4,5}:{(24,1),(28,1),(32,1),(53,1),(62,1)}
       44:{1,5,7}:{(24,1),(25,1),(29,1),(63,1)}
       45:{2,4,5}:{(26,1),(28,1),(33,1),(55,1),(64,1)}
       46:{2,5,7}:{(26,1),(27,1),(29,1),(65,1)}
       47:{4,5,7}:{(28,1),(29,1),(34,1),(57,1),(66,1),(70,1),(90,1),(91,1),(97,1)}
       48:{3,6}:{(29,1),(63,1),(65,1),(66,1)}
       49:{1,2,4}:{(30,1),(32,1),(33,1),(67,1),(68,1),(69,1),(93,1)}
       50:{3,4}:{(32,1),(62,1),(67,1),(68,1)}
       51:{3,4}:{(33,1),(64,1),(67,1),(69,1)}
       52:{4,6}:{(34,1),(35,1),(70,1)}
       53:{1,4,6}:{(36,1),(38,1),(43,1),(71,1),(72,1)}
       54:{1,5,7}:{(36,1),(39,1),(72,1),(73,1),(95,1)}
       55:{2,4,6}:{(37,1),(38,1),(45,1),(74,1),(75,1)}
       56:{2,5,7}:{(37,1),(39,1),(75,1),(76,1),(94,1)}
       57:{4,7}:{(38,1),(39,1)}
       58:{3,6,7}:{(39,1),(48,1),(73,1),(76,1),(77,1)}
       59:{3,5}:{(40,1),(41,1),(78,1)}
       60:{3,7}:{(40,1),(42,1)}
       61:{1,2,5,7}:{(41,1),(42,1),(44,1),(46,1),(79,1),(80,1)}
       62:{3,5}:{(43,1),(50,1),(71,1),(81,1)}
       63:{1,6}:{(44,1),(48,1)}
       64:{3,5}:{(45,1),(51,1),(74,1),(82,1)}
       65:{2,6}:{(46,1),(48,1)}
       66:{4,6}:{(47,1),(48,1),(83,1)}
       67:{3}:{(49,1)}
       68:{2,4}:{(50,1),(81,1),(85,1)}
       69:{1,4}:{(51,1),(82,1),(84,1)}
       70:{5}:{(52,1)}
       71:{3,6}:{(53,1),(62,1),(86,1),(87,1)}
       72:{1,4,7}:{(53,1),(54,1),(57,1),(87,1)}
       73:{1,6,7}:{(54,1),(58,1),(63,1)}
       74:{3,6}:{(55,1),(64,1),(88,1),(89,1)}
       75:{2,4,7}:{(55,1),(56,1),(57,1),(89,1)}
       76:{2,6,7}:{(56,1),(58,1),(65,1)}
       77:{4,6,7}:{(57,1),(58,1),(66,1),(90,1)}
       78:{4}:{(59,1)}
       79:{3,5,7}:{(59,1),(60,1),(61,1),(91,1),(92,1),(97,1)}
       80:{1,2,6}:{(61,1),(63,1),(65,1),(92,1)}
       81:{2,5}:{(62,1),(68,1),(86,1)}
       82:{1,5}:{(64,1),(69,1),(88,1)}
       83:{5,6}:{(66,1),(70,1),(90,1),(97,1)}
       84:{1,3}:{(67,1),(69,1),(93,1)}
       85:{2,3}:{(67,1),(68,1),(93,1)}
       86:{2,6}:{(71,1),(81,1),(94,1)}
       87:{3,7}:{(71,1),(72,1),(94,1)}
       88:{1,6}:{(74,1),(82,1),(95,1)}
       89:{3,7}:{(74,1),(75,1),(95,1)}
       90:{5,7}:{(77,1),(83,1)}
       91:{4,7}:{(78,1),(79,1),(96,1)}
       92:{3,6}:{(79,1),(80,1),(96,1)}
       93:{1,2}:{(84,1),(85,1)}
       94:{2,7}:{(86,1),(87,1)}
       95:{1,7}:{(88,1),(89,1)}
       96:{4,6}:{(91,1),(92,1),(97,1)}
       97:{5}:{(96,1)}

 273 :  0:{1,2,5,6}:{(1,1),(2,1),(3,1),(30,1),(31,1),(52,1),(53,1)}
        1:{3,5,6}:{(0,1),(4,1),(5,1),(7,1),(18,1),(45,1),(46,1)}
        2:{1,2,4,6}:{(0,1),(4,1),(6,1),(7,1),(8,1),(20,1),(21,1),(27,1)}
        3:{1,2,5,7}:{(0,1),(5,1),(8,1),(9,1),(43,1),(44,1)}
        4:{4,6}:{(1,1),(10,1),(12,1)}
        5:{3,5,7}:{(1,1),(3,1),(12,1),(13,1),(17,1),(37,1)}
        6:{1,2,4,5}:{(2,1),(10,1),(14,1),(30,1),(31,1),(38,1),(39,1),(40,1)}
        7:{3,6}:{(2,1),(14,1),(17,1)}
        8:{1,2,4,7}:{(2,1),(3,1),(12,1),(17,1),(35,1),(36,1),(41,1)}
        9:{1,2,6,7}:{(3,1),(13,1),(52,1),(53,1)}
       10:{4,5}:{(4,1),(18,1),(56,1)}
       11:{3,4,6}:{(4,1),(7,1),(18,1),(20,1),(21,1),(22,1),(24,1),(45,1),(47,1),(56,1),(61,1)}
       12:{4,7}:{(4,1),(5,1)}
       13:{3,6,7}:{(5,1),(9,1),(23,1),(45,1)}
       14:{3,5}:{(6,1),(7,1),(24,1)}
       15:{1,3,6}:{(7,1),(20,1),(25,1),(27,1),(28,1),(47,1)}
       16:{2,3,6}:{(7,1),(21,1),(26,1),(27,1),(29,1),(47,1)}
       17:{3,7}:{(7,1),(8,1)}
       18:{3,5}:{(10,1),(11,1),(30,1),(31,1),(62,1)}
       19:{4,5,7}:{(10,1),(12,1),(32,1),(33,1),(37,1),(59,1),(62,1)}
       20:{1,4,6}:{(11,1),(15,1),(30,1),(35,1),(38,1),(52,1)}
       21:{2,4,6}:{(11,1),(16,1),(31,1),(36,1),(39,1),(53,1)}
       22:{3,4,7}:{(11,1),(12,1),(17,1),(32,1),(35,1),(36,1),(54,1),(59,1)}
       23:{4,6,7}:{(12,1),(13,1),(33,1),(37,1)}
       24:{3,4}:{(14,1),(38,1),(39,1),(55,1)}
       25:{1,3,5}:{(14,1),(15,1),(30,1),(38,1),(40,1),(50,1),(55,1)}
       26:{2,3,5}:{(14,1),(16,1),(31,1),(39,1),(40,1),(50,1),(55,1)}
       27:{1,2,6}:{(15,1),(16,1),(40,1),(41,1)}
       28:{1,3,7}:{(15,1),(17,1),(35,1),(41,1),(54,1)}
       29:{2,3,7}:{(16,1),(17,1),(36,1),(41,1),(54,1)}
       30:{1,5}:{(18,1),(20,1)}
       31:{2,5}:{(18,1),(21,1)}
       32:{3,5,7}:{(18,1),(19,1),(22,1),(43,1),(44,1),(45,1)}
       33:{4,6}:{(19,1),(45,1),(46,1)}
       34:{1,2,4,6}:{(20,1),(21,1),(27,1),(42,1),(47,1),(48,1),(49,1),(56,1),(58,1),(61,1)}
       35:{1,4,7}:{(20,1),(22,1),(28,1),(43,1)}
       36:{2,4,7}:{(21,1),(22,1),(29,1),(44,1)}
       37:{5,7}:{(23,1),(46,1)}
       38:{1,4}:{(24,1),(25,1),(56,1)}
       39:{2,4}:{(24,1),(26,1),(56,1)}
       40:{1,2,5}:{(25,1),(26,1),(27,1),(49,1)}
       41:{1,2,7}:{(27,1),(28,1),(29,1)}
       42:{1,2,5}:{(30,1),(31,1),(34,1),(50,1),(62,1)}
       43:{1,5,7}:{(30,1),(32,1),(35,1),(52,1)}
       44:{2,5,7}:{(31,1),(32,1),(36,1),(53,1)}
       45:{3,6}:{(32,1),(33,1),(52,1),(53,1)}
       46:{5,6}:{(33,1),(37,1),(62,1)}
       47:{3,6}:{(34,1),(50,1),(54,1),(55,1)}
       48:{1,2,4,7}:{(34,1),(35,1),(36,1),(41,1),(51,1),(54,1),(59,1)}
       49:{1,2,4}:{(38,1),(39,1),(40,1),(55,1)}
       50:{3,5}:{(42,1),(47,1),(56,1)}
       51:{1,2,5,7}:{(42,1),(43,1),(44,1),(48,1),(57,1),(58,1)}
       52:{1,6}:{(43,1),(45,1)}
       53:{2,6}:{(44,1),(45,1)}
       54:{3,7}:{(47,1),(48,1)}
       55:{3}:{(49,1)}
       56:{4}:{(50,1)}
       57:{3,5,7}:{(50,1),(51,1),(54,1),(59,1),(60,1),(62,1)}
       58:{1,2,6}:{(51,1),(52,1),(53,1),(60,1)}
       59:{4,7}:{(56,1),(57,1),(61,1)}
       60:{3,6}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 274 :  0:{1,2,5,7}:{(1,1),(2,1),(3,1),(14,1),(26,1),(27,1)}
        1:{3,5,7}:{(0,1),(4,1),(5,1),(6,1),(20,1),(24,1)}
        2:{1,2,4,7}:{(0,1),(4,1),(6,1),(7,1),(17,1),(18,1),(21,1)}
        3:{1,2,6}:{(0,1),(5,1),(41,1),(42,1)}
        4:{4,7}:{(1,1),(10,1),(37,1)}
        5:{3,6}:{(1,1),(3,1),(10,1)}
        6:{3,7}:{(2,1),(13,1)}
        7:{1,2,4,6}:{(2,1),(3,1),(10,1),(13,1),(14,1),(31,1),(32,1),(34,1),(37,1),(64,1)}
        8:{4,5,7}:{(4,1),(15,1),(16,1),(20,1),(39,1),(48,1),(69,1),(70,1),(92,1)}
        9:{3,4,7}:{(4,1),(6,1),(15,1),(17,1),(18,1),(19,1),(44,1),(69,1),(70,1),(90,1),(91,1)}
       10:{4,6}:{(4,1),(5,1),(20,1)}
       11:{1,3,7}:{(6,1),(17,1),(21,1),(22,1),(44,1),(90,1)}
       12:{2,3,7}:{(6,1),(18,1),(21,1),(23,1),(44,1),(91,1)}
       13:{3,6}:{(6,1),(7,1),(24,1),(77,1)}
       14:{1,2,5}:{(7,1),(20,1),(24,1),(46,1),(47,1)}
       15:{3,5,7}:{(8,1),(9,1),(26,1),(27,1),(28,1),(33,1)}
       16:{4,6}:{(8,1),(28,1),(29,1)}
       17:{1,4,7}:{(9,1),(11,1),(26,1),(31,1),(97,1)}
       18:{2,4,7}:{(9,1),(12,1),(27,1),(32,1),(96,1)}
       19:{3,4,6}:{(9,1),(10,1),(13,1),(28,1),(31,1),(32,1),(33,1),(37,1),(59,1),(60,1),(65,1),(66,1),(82,1),(83,1),(84,1),(85,1)}
       20:{5}:{(10,1)}
       21:{1,2,7}:{(11,1),(12,1),(34,1),(96,1),(97,1)}
       22:{1,3,6}:{(11,1),(13,1),(31,1),(34,1),(35,1),(60,1),(83,1),(88,1)}
       23:{2,3,6}:{(12,1),(13,1),(32,1),(34,1),(36,1),(60,1),(84,1),(89,1)}
       24:{3,5}:{(13,1),(14,1),(37,1)}
       25:{4,6,7}:{(16,1),(38,1),(39,1),(69,1)}
       26:{1,5,7}:{(15,1),(17,1),(41,1),(46,1)}
       27:{2,5,7}:{(15,1),(18,1),(42,1),(47,1)}
       28:{3,6}:{(15,1),(16,1),(41,1),(42,1)}
       29:{5,6}:{(16,1),(20,1),(39,1),(92,1)}
       30:{1,2,4,7}:{(17,1),(18,1),(21,1),(40,1),(44,1),(45,1),(70,1)}
       31:{1,4,6}:{(17,1),(19,1),(22,1),(41,1),(46,1),(50,1),(79,1),(94,1)}
       32:{2,4,6}:{(18,1),(19,1),(23,1),(42,1),(47,1),(51,1),(78,1),(93,1)}
       33:{3,5}:{(19,1),(20,1),(46,1),(47,1),(48,1),(92,1)}
       34:{1,2,6}:{(21,1),(22,1),(23,1),(49,1),(93,1),(94,1),(95,1)}
       35:{1,3,5}:{(22,1),(24,1),(46,1),(49,1),(50,1),(74,1),(75,1),(77,1)}
       36:{2,3,5}:{(23,1),(24,1),(47,1),(49,1),(51,1),(74,1),(76,1),(77,1)}
       37:{4}:{(24,1)}
       38:{3,6,7}:{(25,1),(28,1),(52,1),(53,1),(54,1)}
       39:{5,7}:{(25,1),(29,1)}
       40:{1,2,5,7}:{(26,1),(27,1),(30,1),(55,1),(56,1),(61,1)}
       41:{1,6}:{(26,1),(28,1)}
       42:{2,6}:{(27,1),(28,1)}
       43:{3,5,6}:{(28,1),(29,1),(33,1),(54,1),(57,1),(58,1),(59,1),(83,1),(84,1)}
       44:{3,7}:{(30,1),(60,1)}
       45:{1,2,4,6}:{(30,1),(31,1),(32,1),(34,1),(56,1),(60,1),(61,1),(64,1),(82,1),(85,1)}
       46:{1,5}:{(31,1),(33,1)}
       47:{2,5}:{(32,1),(33,1)}
       48:{4,5}:{(33,1),(37,1),(59,1),(85,1)}
       49:{1,2,5}:{(34,1),(35,1),(36,1),(64,1),(86,1),(87,1)}
       50:{1,4}:{(35,1),(37,1),(65,1),(85,1)}
       51:{2,4}:{(36,1),(37,1),(66,1),(85,1)}
       52:{1,6,7}:{(38,1),(41,1),(67,1)}
       53:{2,6,7}:{(38,1),(42,1),(68,1)}
       54:{3,5,7}:{(38,1),(39,1),(43,1),(67,1),(68,1),(69,1),(90,1),(91,1)}
       55:{3,5,7}:{(40,1),(44,1),(70,1),(71,1),(74,1),(92,1)}
       56:{1,2,6}:{(40,1),(41,1),(42,1),(71,1)}
       57:{1,5,6}:{(41,1),(43,1),(46,1),(67,1),(72,1),(94,1)}
       58:{2,5,6}:{(42,1),(43,1),(47,1),(68,1),(73,1),(93,1)}
       59:{4,6}:{(43,1),(48,1),(69,1)}
       60:{3,6}:{(44,1),(45,1),(74,1),(77,1)}
       61:{1,2,5}:{(45,1),(46,1),(47,1),(74,1),(92,1)}
       62:{1,4,5}:{(46,1),(48,1),(50,1),(72,1),(75,1)}
       63:{2,4,5}:{(47,1),(48,1),(51,1),(73,1),(76,1)}
       64:{1,2,4}:{(49,1),(50,1),(51,1),(77,1),(78,1),(79,1),(95,1)}
       65:{3,4}:{(50,1),(75,1),(77,1),(78,1)}
       66:{3,4}:{(51,1),(76,1),(77,1),(79,1)}
       67:{1,5,7}:{(52,1),(54,1),(57,1),(80,1),(97,1)}
       68:{2,5,7}:{(53,1),(54,1),(58,1),(81,1),(96,1)}
       69:{4,7}:{(54,1),(59,1)}
       70:{4,7}:{(55,1),(82,1),(85,1)}
       71:{3,6}:{(55,1),(56,1),(82,1)}
       72:{1,4,6}:{(57,1),(59,1),(62,1),(80,1),(83,1)}
       73:{2,4,6}:{(58,1),(59,1),(63,1),(81,1),(84,1)}
       74:{3,5}:{(60,1),(61,1),(85,1)}
       75:{3,5}:{(62,1),(65,1),(83,1),(86,1)}
       76:{3,5}:{(63,1),(66,1),(84,1),(87,1)}
       77:{3}:{(64,1)}
       78:{2,4}:{(65,1),(86,1),(89,1)}
       79:{1,4}:{(66,1),(87,1),(88,1)}
       80:{1,4,7}:{(67,1),(69,1),(72,1),(90,1)}
       81:{2,4,7}:{(68,1),(69,1),(73,1),(91,1)}
       82:{4,6}:{(70,1),(71,1),(92,1)}
       83:{3,6}:{(72,1),(75,1),(90,1),(93,1)}
       84:{3,6}:{(73,1),(76,1),(91,1),(94,1)}
       85:{4}:{(74,1)}
       86:{2,5}:{(75,1),(78,1),(93,1)}
       87:{1,5}:{(76,1),(79,1),(94,1)}
       88:{1,3}:{(77,1),(79,1),(95,1)}
       89:{2,3}:{(77,1),(78,1),(95,1)}
       90:{3,7}:{(80,1),(83,1),(96,1)}
       91:{3,7}:{(81,1),(84,1),(97,1)}
       92:{5}:{(82,1)}
       93:{2,6}:{(83,1),(86,1),(96,1)}
       94:{1,6}:{(84,1),(87,1),(97,1)}
       95:{1,2}:{(88,1),(89,1)}
       96:{2,7}:{(90,1),(93,1)}
       97:{1,7}:{(91,1),(94,1)}

 275 :  0:{1,2,6,7}:{(1,1),(2,1),(41,1),(42,1)}
        1:{3,6,7}:{(0,1),(3,1),(4,1),(30,1)}
        2:{1,2,5,7}:{(0,1),(4,1),(5,1),(6,1),(31,1),(32,1)}
        3:{4,6,7}:{(1,1),(7,1),(9,1),(20,1)}
        4:{3,5,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(11,1)}
        5:{1,2,5,6}:{(2,1),(8,1),(10,1),(41,1),(42,1),(44,1),(45,1)}
        6:{1,2,4,7}:{(2,1),(9,1),(10,1),(11,1),(24,1),(25,1),(29,1)}
        7:{5,7}:{(3,1),(12,1)}
        8:{3,5,6}:{(4,1),(5,1),(12,1),(14,1),(17,1),(30,1),(33,1)}
        9:{4,7}:{(4,1),(14,1)}
       10:{1,2,4,6}:{(5,1),(6,1),(14,1),(16,1),(17,1),(34,1),(35,1),(40,1)}
       11:{3,7}:{(6,1),(17,1)}
       12:{5,6}:{(7,1),(20,1),(62,1)}
       13:{4,5,7}:{(7,1),(9,1),(20,1),(21,1),(22,1),(57,1),(62,1)}
       14:{4,6}:{(8,1),(9,1),(22,1)}
       15:{3,4,7}:{(9,1),(11,1),(21,1),(23,1),(24,1),(25,1),(47,1),(57,1)}
       16:{1,2,4,5}:{(10,1),(22,1),(26,1),(44,1),(45,1),(48,1),(49,1),(50,1)}
       17:{3,6}:{(10,1),(11,1),(26,1)}
       18:{1,3,7}:{(11,1),(24,1),(27,1),(29,1),(47,1)}
       19:{2,3,7}:{(11,1),(25,1),(28,1),(29,1),(47,1)}
       20:{4,6}:{(12,1),(13,1),(30,1)}
       21:{3,5,7}:{(13,1),(15,1),(30,1),(31,1),(32,1),(33,1)}
       22:{4,5}:{(14,1),(33,1),(61,1)}
       23:{3,4,6}:{(14,1),(15,1),(17,1),(30,1),(33,1),(34,1),(35,1),(37,1),(54,1),(60,1),(61,1)}
       24:{1,4,7}:{(15,1),(18,1),(31,1),(34,1)}
       25:{2,4,7}:{(15,1),(19,1),(32,1),(35,1)}
       26:{3,5}:{(16,1),(17,1),(37,1)}
       27:{1,3,6}:{(17,1),(18,1),(34,1),(38,1),(40,1),(54,1)}
       28:{2,3,6}:{(17,1),(19,1),(35,1),(39,1),(40,1),(54,1)}
       29:{1,2,7}:{(18,1),(19,1),(40,1)}
       30:{3,6}:{(20,1),(21,1),(41,1),(42,1)}
       31:{1,5,7}:{(21,1),(24,1),(41,1),(44,1)}
       32:{2,5,7}:{(21,1),(25,1),(42,1),(45,1)}
       33:{3,5}:{(22,1),(23,1),(44,1),(45,1),(62,1)}
       34:{1,4,6}:{(23,1),(24,1),(27,1),(41,1),(44,1),(48,1)}
       35:{2,4,6}:{(23,1),(25,1),(28,1),(42,1),(45,1),(49,1)}
       36:{1,2,4,7}:{(24,1),(25,1),(29,1),(43,1),(46,1),(47,1),(57,1)}
       37:{3,4}:{(26,1),(48,1),(49,1),(59,1)}
       38:{1,3,5}:{(26,1),(27,1),(44,1),(48,1),(50,1),(58,1),(59,1)}
       39:{2,3,5}:{(26,1),(28,1),(45,1),(49,1),(50,1),(58,1),(59,1)}
       40:{1,2,6}:{(27,1),(28,1),(29,1),(50,1)}
       41:{1,6}:{(30,1),(31,1)}
       42:{2,6}:{(30,1),(32,1)}
       43:{1,2,5,7}:{(31,1),(32,1),(36,1),(51,1),(52,1),(53,1)}
       44:{1,5}:{(33,1),(34,1)}
       45:{2,5}:{(33,1),(35,1)}
       46:{1,2,4,6}:{(34,1),(35,1),(36,1),(40,1),(51,1),(53,1),(54,1),(55,1),(60,1),(61,1)}
       47:{3,7}:{(36,1),(54,1)}
       48:{1,4}:{(37,1),(38,1),(61,1)}
       49:{2,4}:{(37,1),(39,1),(61,1)}
       50:{1,2,5}:{(38,1),(39,1),(40,1),(55,1)}
       51:{1,2,6}:{(41,1),(42,1),(43,1),(56,1)}
       52:{3,5,7}:{(43,1),(47,1),(56,1),(57,1),(58,1),(62,1)}
       53:{1,2,5}:{(44,1),(45,1),(46,1),(58,1),(62,1)}
       54:{3,6}:{(46,1),(47,1),(58,1),(59,1)}
       55:{1,2,4}:{(48,1),(49,1),(50,1),(59,1)}
       56:{3,6}:{(51,1),(52,1),(60,1)}
       57:{4,7}:{(52,1),(60,1),(61,1)}
       58:{3,5}:{(53,1),(54,1),(61,1)}
       59:{3}:{(55,1)}
       60:{4,6}:{(56,1),(57,1),(62,1)}
       61:{4}:{(58,1)}
       62:{5}:{(60,1)}

 276 :  0:{4,5,6}:{(2,1),(3,1),(39,1),(81,1)}
        1:{5,6,7}:{(5,1),(76,1)}
        2:{4,5,7}:{(0,1),(5,1),(6,1),(52,1),(76,1)}
        3:{3,5,6}:{(0,1),(4,1),(6,1),(7,1),(8,1)}
        4:{3,4,6}:{(3,1),(9,1),(10,1),(11,1),(12,1),(36,1),(39,1)}
        5:{4,6,7}:{(1,1),(2,1),(13,1)}
        6:{3,5,7}:{(2,1),(3,1),(10,1),(13,1),(14,1),(15,1)}
        7:{1,5,6}:{(3,1),(11,1),(14,1)}
        8:{2,5,6}:{(3,1),(12,1),(15,1)}
        9:{3,4,5}:{(4,1),(17,1),(18,1),(44,1),(53,1)}
       10:{3,4,7}:{(4,1),(6,1),(21,1),(22,1),(49,1),(52,1)}
       11:{1,4,6}:{(4,1),(7,1),(17,1),(19,1),(21,1)}
       12:{2,4,6}:{(4,1),(8,1),(18,1),(20,1),(22,1)}
       13:{3,6,7}:{(5,1),(6,1),(24,1),(25,1)}
       14:{1,5,7}:{(6,1),(7,1),(21,1),(24,1)}
       15:{2,5,7}:{(6,1),(8,1),(22,1),(25,1)}
       16:{1,2,5,6}:{(7,1),(8,1),(23,1),(26,1),(27,1),(72,1),(74,1),(82,1),(83,1)}
       17:{1,4,5}:{(9,1),(11,1),(28,1)}
       18:{2,4,5}:{(9,1),(12,1),(29,1)}
       19:{1,3,6}:{(11,1),(28,1),(31,1),(32,1),(36,1)}
       20:{2,3,6}:{(12,1),(29,1),(33,1),(34,1),(36,1)}
       21:{1,4,7}:{(10,1),(11,1),(14,1),(31,1)}
       22:{2,4,7}:{(10,1),(12,1),(15,1),(33,1)}
       23:{1,2,4,6}:{(11,1),(12,1),(16,1),(30,1),(32,1),(34,1),(35,1),(36,1),(39,1),(60,1),(62,1)}
       24:{1,6,7}:{(13,1),(14,1)}
       25:{2,6,7}:{(13,1),(15,1)}
       26:{1,2,5,7}:{(14,1),(15,1),(16,1),(35,1),(37,1),(38,1),(78,1),(79,1)}
       27:{3,5,6}:{(16,1),(36,1),(38,1),(39,1),(64,1),(80,1),(81,1)}
       28:{1,3,5}:{(17,1),(19,1),(40,1),(42,1),(44,1)}
       29:{2,3,5}:{(18,1),(20,1),(41,1),(43,1),(44,1)}
       30:{1,2,4,5}:{(17,1),(18,1),(23,1),(42,1),(43,1),(44,1),(53,1),(69,1),(70,1),(72,1),(74,1)}
       31:{1,3,7}:{(19,1),(21,1),(45,1),(49,1)}
       32:{1,2,6}:{(19,1),(42,1),(45,1),(46,1)}
       33:{2,3,7}:{(20,1),(22,1),(47,1),(49,1)}
       34:{1,2,6}:{(20,1),(43,1),(47,1),(48,1)}
       35:{1,2,4,7}:{(21,1),(22,1),(23,1),(26,1),(45,1),(47,1),(49,1),(52,1),(71,1),(73,1)}
       36:{3,6}:{(23,1),(44,1),(49,1)}
       37:{1,2,6,7}:{(24,1),(25,1),(26,1),(51,1),(82,1),(83,1)}
       38:{3,5,7}:{(26,1),(27,1),(49,1),(51,1),(52,1),(76,1)}
       39:{4,6}:{(27,1),(52,1),(53,1)}
       40:{1,3,4}:{(28,1),(54,1),(58,1)}
       41:{2,3,4}:{(29,1),(55,1),(58,1)}
       42:{1,2,5}:{(28,1),(32,1),(54,1),(56,1)}
       43:{1,2,5}:{(29,1),(34,1),(55,1),(57,1)}
       44:{3,5}:{(30,1),(36,1),(58,1)}
       45:{1,2,7}:{(31,1),(32,1),(59,1)}
       46:{2,3,6}:{(32,1),(36,1),(56,1),(59,1),(60,1)}
       47:{1,2,7}:{(33,1),(34,1),(61,1)}
       48:{1,3,6}:{(34,1),(36,1),(57,1),(61,1),(62,1)}
       49:{3,7}:{(35,1),(36,1)}
       50:{3,4,6}:{(36,1),(39,1),(58,1),(60,1),(62,1),(63,1),(64,1),(80,1)}
       51:{3,6,7}:{(37,1),(38,1),(65,1),(80,1)}
       52:{4,7}:{(38,1),(39,1)}
       53:{4,5}:{(39,1),(64,1)}
       54:{1,2,4}:{(40,1),(42,1),(67,1),(69,1)}
       55:{1,2,4}:{(41,1),(43,1),(68,1),(70,1)}
       56:{2,3,5}:{(42,1),(44,1),(46,1),(67,1),(69,1),(72,1)}
       57:{1,3,5}:{(43,1),(44,1),(48,1),(68,1),(70,1),(74,1)}
       58:{3,4}:{(44,1),(69,1),(70,1)}
       59:{2,3,7}:{(45,1),(46,1),(49,1),(71,1)}
       60:{2,4,6}:{(46,1),(50,1),(69,1),(71,1),(72,1),(82,1)}
       61:{1,3,7}:{(47,1),(48,1),(49,1),(73,1)}
       62:{1,4,6}:{(48,1),(50,1),(70,1),(73,1),(74,1),(83,1)}
       63:{3,4,7}:{(49,1),(50,1),(52,1),(71,1),(73,1),(75,1)}
       64:{3,5}:{(50,1),(53,1),(72,1),(74,1)}
       65:{4,6,7}:{(51,1),(52,1),(76,1),(77,1)}
       66:{4,5,7}:{(52,1),(53,1),(75,1),(76,1),(77,1)}
       67:{2,3}:{(54,1)}
       68:{1,3}:{(55,1)}
       69:{2,4}:{(56,1),(58,1)}
       70:{1,4}:{(57,1),(58,1)}
       71:{2,4,7}:{(59,1),(60,1),(63,1),(78,1)}
       72:{2,5}:{(60,1),(64,1)}
       73:{1,4,7}:{(61,1),(62,1),(63,1),(79,1)}
       74:{1,5}:{(62,1),(64,1)}
       75:{3,5,7}:{(63,1),(64,1),(66,1),(78,1),(79,1),(80,1)}
       76:{5,7}:{(65,1),(81,1)}
       77:{4,6}:{(66,1),(80,1),(81,1)}
       78:{2,5,7}:{(71,1),(72,1),(75,1),(82,1)}
       79:{1,5,7}:{(73,1),(74,1),(75,1),(83,1)}
       80:{3,6}:{(75,1),(77,1),(82,1),(83,1)}
       81:{5,6}:{(76,1),(77,1)}
       82:{2,6}:{(78,1),(80,1)}
       83:{1,6}:{(79,1),(80,1)}

 277 :  0:{5,6,7}:{(1,1),(51,1)}
        1:{4,6,7}:{(0,1),(3,1),(4,1)}
        2:{4,5,6}:{(3,1),(5,1),(41,1),(65,1)}
        3:{4,5,7}:{(1,1),(2,1),(6,1),(50,1),(51,1)}
        4:{3,6,7}:{(1,1),(6,1),(7,1),(8,1)}
        5:{3,5,6}:{(2,1),(6,1),(9,1),(10,1),(11,1)}
        6:{3,5,7}:{(3,1),(4,1),(5,1),(13,1),(14,1),(15,1)}
        7:{1,6,7}:{(4,1),(14,1)}
        8:{2,6,7}:{(4,1),(15,1)}
        9:{3,4,6}:{(5,1),(12,1),(13,1),(17,1),(18,1),(40,1),(41,1)}
       10:{1,5,6}:{(5,1),(14,1),(17,1)}
       11:{2,5,6}:{(5,1),(15,1),(18,1)}
       12:{3,4,5}:{(9,1),(20,1),(21,1),(46,1),(55,1)}
       13:{3,4,7}:{(6,1),(9,1),(22,1),(23,1),(49,1),(50,1)}
       14:{1,5,7}:{(6,1),(7,1),(10,1),(22,1)}
       15:{2,5,7}:{(6,1),(8,1),(11,1),(23,1)}
       16:{1,2,6,7}:{(7,1),(8,1),(24,1),(25,1),(82,1),(83,1)}
       17:{1,4,6}:{(9,1),(10,1),(20,1),(22,1),(26,1)}
       18:{2,4,6}:{(9,1),(11,1),(21,1),(23,1),(27,1)}
       19:{1,2,5,6}:{(10,1),(11,1),(24,1),(28,1),(29,1),(77,1),(78,1),(82,1),(83,1)}
       20:{1,4,5}:{(12,1),(17,1),(30,1)}
       21:{2,4,5}:{(12,1),(18,1),(31,1)}
       22:{1,4,7}:{(13,1),(14,1),(17,1),(33,1)}
       23:{2,4,7}:{(13,1),(15,1),(18,1),(34,1)}
       24:{1,2,5,7}:{(14,1),(15,1),(16,1),(19,1),(35,1),(36,1),(79,1),(80,1)}
       25:{3,6,7}:{(16,1),(36,1),(37,1),(81,1)}
       26:{1,3,6}:{(17,1),(30,1),(33,1),(38,1),(40,1)}
       27:{2,3,6}:{(18,1),(31,1),(34,1),(39,1),(40,1)}
       28:{1,2,4,6}:{(17,1),(18,1),(19,1),(32,1),(35,1),(38,1),(39,1),(40,1),(41,1),(66,1),(67,1)}
       29:{3,5,6}:{(19,1),(36,1),(40,1),(41,1),(65,1),(68,1),(81,1)}
       30:{1,3,5}:{(20,1),(26,1),(42,1),(44,1),(46,1)}
       31:{2,3,5}:{(21,1),(27,1),(43,1),(45,1),(46,1)}
       32:{1,2,4,5}:{(20,1),(21,1),(28,1),(44,1),(45,1),(46,1),(55,1),(71,1),(72,1),(77,1),(78,1)}
       33:{1,3,7}:{(22,1),(26,1),(47,1),(49,1)}
       34:{2,3,7}:{(23,1),(27,1),(48,1),(49,1)}
       35:{1,2,4,7}:{(22,1),(23,1),(24,1),(28,1),(47,1),(48,1),(49,1),(50,1),(73,1),(74,1)}
       36:{3,5,7}:{(24,1),(25,1),(29,1),(49,1),(50,1),(51,1)}
       37:{4,6,7}:{(25,1),(50,1),(51,1),(76,1)}
       38:{1,2,6}:{(26,1),(44,1),(47,1),(52,1)}
       39:{1,2,6}:{(27,1),(45,1),(48,1),(53,1)}
       40:{3,6}:{(28,1),(46,1),(49,1)}
       41:{4,6}:{(29,1),(50,1),(55,1)}
       42:{1,3,4}:{(30,1),(56,1),(60,1)}
       43:{2,3,4}:{(31,1),(57,1),(60,1)}
       44:{1,2,5}:{(30,1),(38,1),(56,1),(58,1)}
       45:{1,2,5}:{(31,1),(39,1),(57,1),(59,1)}
       46:{3,5}:{(32,1),(40,1),(60,1)}
       47:{1,2,7}:{(33,1),(38,1),(61,1)}
       48:{1,2,7}:{(34,1),(39,1),(62,1)}
       49:{3,7}:{(35,1),(40,1)}
       50:{4,7}:{(36,1),(41,1)}
       51:{5,7}:{(37,1),(65,1)}
       52:{2,3,6}:{(38,1),(40,1),(58,1),(61,1),(66,1)}
       53:{1,3,6}:{(39,1),(40,1),(59,1),(62,1),(67,1)}
       54:{3,4,6}:{(40,1),(41,1),(60,1),(63,1),(66,1),(67,1),(68,1),(81,1)}
       55:{4,5}:{(41,1),(68,1)}
       56:{1,2,4}:{(42,1),(44,1),(69,1),(71,1)}
       57:{1,2,4}:{(43,1),(45,1),(70,1),(72,1)}
       58:{2,3,5}:{(44,1),(46,1),(52,1),(69,1),(71,1),(77,1)}
       59:{1,3,5}:{(45,1),(46,1),(53,1),(70,1),(72,1),(78,1)}
       60:{3,4}:{(46,1),(71,1),(72,1)}
       61:{2,3,7}:{(47,1),(49,1),(52,1),(73,1)}
       62:{1,3,7}:{(48,1),(49,1),(53,1),(74,1)}
       63:{3,4,7}:{(49,1),(50,1),(54,1),(73,1),(74,1),(75,1)}
       64:{4,5,7}:{(50,1),(51,1),(55,1),(75,1),(76,1)}
       65:{5,6}:{(51,1),(76,1)}
       66:{2,4,6}:{(52,1),(54,1),(71,1),(73,1),(77,1),(82,1)}
       67:{1,4,6}:{(53,1),(54,1),(72,1),(74,1),(78,1),(83,1)}
       68:{3,5}:{(54,1),(55,1),(77,1),(78,1)}
       69:{2,3}:{(56,1)}
       70:{1,3}:{(57,1)}
       71:{2,4}:{(58,1),(60,1)}
       72:{1,4}:{(59,1),(60,1)}
       73:{2,4,7}:{(61,1),(63,1),(66,1),(79,1)}
       74:{1,4,7}:{(62,1),(63,1),(67,1),(80,1)}
       75:{3,5,7}:{(63,1),(64,1),(68,1),(79,1),(80,1),(81,1)}
       76:{4,6}:{(64,1),(65,1),(81,1)}
       77:{2,5}:{(66,1),(68,1)}
       78:{1,5}:{(67,1),(68,1)}
       79:{2,5,7}:{(73,1),(75,1),(77,1),(82,1)}
       80:{1,5,7}:{(74,1),(75,1),(78,1),(83,1)}
       81:{3,6}:{(75,1),(76,1),(82,1),(83,1)}
       82:{2,6}:{(79,1),(81,1)}
       83:{1,6}:{(80,1),(81,1)}

 278 :  0:{1,2,7}:{(1,1),(2,1),(36,1),(37,1)}
        1:{3,7}:{(0,1),(3,1),(4,1)}
        2:{1,2,6}:{(0,1),(4,1),(5,1),(32,1),(33,1)}
        3:{4,7}:{(1,1),(6,1),(7,1)}
        4:{3,6}:{(1,1),(2,1),(7,1),(8,1)}
        5:{1,2,5}:{(2,1),(8,1),(9,1),(28,1),(29,1)}
        6:{5,7}:{(3,1),(10,1),(11,1)}
        7:{4,6}:{(3,1),(4,1),(10,1),(11,1),(12,1)}
        8:{3,5}:{(4,1),(5,1),(11,1),(12,1),(13,1)}
        9:{1,2,4}:{(5,1),(12,1),(13,1),(23,1),(24,1),(25,1)}
       10:{6}:{(6,1)}
       11:{5}:{(7,1)}
       12:{4}:{(8,1)}
       13:{3}:{(9,1)}
       14:{6,7}:{(10,1),(20,1),(48,1)}
       15:{5,6}:{(10,1),(11,1),(20,1),(21,1),(46,1),(48,1)}
       16:{4,5}:{(11,1),(12,1),(21,1),(22,1),(42,1),(46,1)}
       17:{3,4}:{(12,1),(13,1),(22,1),(23,1),(24,1),(35,1),(42,1)}
       18:{1,3}:{(13,1),(23,1),(25,1),(35,1)}
       19:{2,3}:{(13,1),(24,1),(25,1),(35,1)}
       20:{5,7}:{(14,1),(15,1),(26,1)}
       21:{4,6}:{(15,1),(16,1),(26,1),(27,1)}
       22:{3,5}:{(16,1),(17,1),(27,1),(28,1),(29,1)}
       23:{1,4}:{(17,1),(18,1),(28,1)}
       24:{2,4}:{(17,1),(19,1),(29,1)}
       25:{1,2}:{(18,1),(19,1)}
       26:{4,7}:{(20,1),(21,1),(31,1)}
       27:{3,6}:{(21,1),(22,1),(31,1),(32,1),(33,1)}
       28:{1,5}:{(22,1),(23,1),(32,1)}
       29:{2,5}:{(22,1),(24,1),(33,1)}
       30:{1,2,4}:{(23,1),(24,1),(25,1),(34,1),(35,1),(42,1)}
       31:{3,7}:{(26,1),(27,1),(36,1),(37,1)}
       32:{1,6}:{(27,1),(28,1),(36,1)}
       33:{2,6}:{(27,1),(29,1),(37,1)}
       34:{1,2,5}:{(28,1),(29,1),(30,1),(38,1),(39,1)}
       35:{3}:{(30,1)}
       36:{1,7}:{(31,1),(32,1)}
       37:{2,7}:{(31,1),(33,1)}
       38:{1,2,6}:{(32,1),(33,1),(34,1),(40,1),(41,1)}
       39:{3,5}:{(34,1),(35,1),(41,1),(42,1),(46,1)}
       40:{1,2,7}:{(36,1),(37,1),(38,1),(43,1)}
       41:{3,6}:{(38,1),(39,1),(43,1),(44,1)}
       42:{4}:{(39,1)}
       43:{3,7}:{(40,1),(41,1),(45,1)}
       44:{4,6}:{(41,1),(42,1),(45,1),(46,1),(48,1)}
       45:{4,7}:{(43,1),(44,1),(47,1)}
       46:{5}:{(44,1)}
       47:{5,7}:{(45,1),(46,1),(48,1)}
       48:{6}:{(47,1)}

 279 : 0:{1,2}:{(1,1)}
       1:{3}:{(0,1),(2,1)}
       2:{4}:{(1,1),(3,1)}
       3:{5}:{(2,1),(4,1)}
       4:{6}:{(3,1),(5,1)}
       5:{7}:{(4,1)}

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

 281 :  0:{1,2,4,5}:{(1,1),(2,1),(9,1),(10,1),(12,1),(31,1),(33,1),(35,1)}
        1:{3,5}:{(0,1),(3,1),(6,1)}
        2:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(19,1),(20,1),(23,1),(26,1)}
        3:{3,4}:{(1,1),(9,1),(10,1),(29,1)}
        4:{1,3,5}:{(1,1),(9,1),(12,1),(13,1),(29,1),(31,1),(48,1)}
        5:{2,3,5}:{(1,1),(10,1),(12,1),(14,1),(29,1),(33,1),(48,1)}
        6:{3,6}:{(1,1),(2,1),(16,1)}
        7:{1,2,5,6}:{(2,1),(15,1),(17,1),(31,1),(33,1),(51,1),(52,1)}
        8:{1,2,4,7}:{(2,1),(16,1),(17,1),(32,1),(34,1),(37,1),(38,1)}
        9:{1,4}:{(3,1),(4,1),(55,1)}
       10:{2,4}:{(3,1),(5,1),(55,1)}
       11:{3,4,6}:{(3,1),(6,1),(19,1),(20,1),(21,1),(22,1),(26,1),(40,1),(46,1),(55,1),(61,1)}
       12:{1,2,5}:{(4,1),(5,1),(18,1),(23,1)}
       13:{1,3,6}:{(4,1),(6,1),(19,1),(23,1),(24,1),(40,1)}
       14:{2,3,6}:{(5,1),(6,1),(20,1),(23,1),(25,1),(40,1)}
       15:{3,5,6}:{(6,1),(7,1),(21,1),(26,1),(27,1),(46,1),(58,1)}
       16:{3,7}:{(6,1),(8,1)}
       17:{1,2,5,7}:{(7,1),(8,1),(27,1),(28,1),(43,1),(44,1)}
       18:{1,2,4}:{(9,1),(10,1),(12,1),(29,1)}
       19:{1,4,6}:{(9,1),(11,1),(13,1),(31,1),(32,1),(51,1)}
       20:{2,4,6}:{(10,1),(11,1),(14,1),(33,1),(34,1),(52,1)}
       21:{3,5}:{(11,1),(31,1),(33,1),(35,1),(62,1)}
       22:{3,4,7}:{(11,1),(16,1),(32,1),(34,1),(36,1),(38,1),(49,1),(59,1)}
       23:{1,2,6}:{(12,1),(13,1),(14,1),(37,1)}
       24:{1,3,7}:{(13,1),(16,1),(32,1),(37,1),(49,1)}
       25:{2,3,7}:{(14,1),(16,1),(34,1),(37,1),(49,1)}
       26:{4,6}:{(15,1),(35,1),(38,1)}
       27:{3,5,7}:{(15,1),(16,1),(17,1),(38,1),(39,1),(54,1)}
       28:{1,2,6,7}:{(17,1),(39,1),(51,1),(52,1)}
       29:{3}:{(18,1)}
       30:{1,2,4,6}:{(18,1),(19,1),(20,1),(23,1),(40,1),(41,1),(42,1),(55,1),(57,1),(61,1)}
       31:{1,5}:{(19,1),(21,1)}
       32:{1,4,7}:{(19,1),(22,1),(24,1),(43,1)}
       33:{2,5}:{(20,1),(21,1)}
       34:{2,4,7}:{(20,1),(22,1),(25,1),(44,1)}
       35:{4,5}:{(21,1),(26,1),(55,1)}
       36:{3,5,7}:{(21,1),(22,1),(43,1),(44,1),(45,1),(46,1)}
       37:{1,2,7}:{(23,1),(24,1),(25,1)}
       38:{4,7}:{(26,1),(27,1)}
       39:{3,6,7}:{(27,1),(28,1),(46,1),(47,1)}
       40:{3,6}:{(29,1),(30,1),(48,1),(49,1)}
       41:{1,2,5}:{(30,1),(31,1),(33,1),(48,1),(62,1)}
       42:{1,2,4,7}:{(30,1),(32,1),(34,1),(37,1),(49,1),(50,1),(59,1)}
       43:{1,5,7}:{(31,1),(32,1),(36,1),(51,1)}
       44:{2,5,7}:{(33,1),(34,1),(36,1),(52,1)}
       45:{4,5,7}:{(35,1),(36,1),(38,1),(53,1),(54,1),(59,1),(62,1)}
       46:{3,6}:{(36,1),(51,1),(52,1),(53,1)}
       47:{4,6,7}:{(38,1),(39,1),(53,1),(54,1)}
       48:{3,5}:{(40,1),(41,1),(55,1)}
       49:{3,7}:{(40,1),(42,1)}
       50:{1,2,5,7}:{(41,1),(42,1),(43,1),(44,1),(56,1),(57,1)}
       51:{1,6}:{(43,1),(46,1)}
       52:{2,6}:{(44,1),(46,1)}
       53:{4,6}:{(45,1),(46,1),(58,1)}
       54:{5,7}:{(47,1),(58,1)}
       55:{4}:{(48,1)}
       56:{3,5,7}:{(48,1),(49,1),(50,1),(59,1),(60,1),(62,1)}
       57:{1,2,6}:{(50,1),(51,1),(52,1),(60,1)}
       58:{5,6}:{(53,1),(54,1),(62,1)}
       59:{4,7}:{(55,1),(56,1),(61,1)}
       60:{3,6}:{(56,1),(57,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 282 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(15,1),(19,1),(37,1),(40,1),(82,1),(88,1)}
         1:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(21,1),(27,1),(62,1)}
         2:{1,3,5}:{(0,1),(5,1),(8,1),(25,1),(106,1),(116,1)}
         3:{1,3,4,7}:{(0,1),(6,1),(9,1),(30,1),(61,1),(65,1),(109,1),(204,1)}
         4:{2,3,6}:{(1,1),(10,1),(11,1),(40,1)}
         5:{1,2,5}:{(1,1),(2,1),(10,1),(89,1)}
         6:{1,2,4,7}:{(1,1),(3,1),(11,1),(14,1),(38,1),(208,1)}
         7:{1,3,5,6}:{(2,1),(12,1),(15,1),(16,1),(19,1),(40,1),(47,1),(54,1),(98,1)}
         8:{1,4,5}:{(2,1),(15,1),(17,1),(139,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(14,1),(18,1),(19,1),(45,1),(130,1),(198,1),(200,1)}
        10:{2,3,5}:{(4,1),(5,1),(21,1),(25,1)}
        11:{2,3,7}:{(4,1),(6,1),(65,1),(209,1)}
        12:{1,2,5,6}:{(5,1),(7,1),(20,1),(23,1),(24,1),(27,1),(72,1),(106,1),(151,1)}
        13:{1,2,4,5}:{(5,1),(8,1),(21,1),(23,1),(25,1),(32,1),(55,1),(59,1),(67,1),(106,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(9,1),(22,1),(27,1),(206,1),(207,1)}
        15:{1,4,6}:{(7,1),(8,1),(29,1),(30,1),(124,1)}
        16:{1,3,5,7}:{(7,1),(24,1),(30,1),(31,1),(65,1),(73,1),(77,1),(120,1)}
        17:{3,4,5}:{(8,1),(25,1),(29,1),(32,1)}
        18:{1,4,5,7}:{(8,1),(9,1),(30,1),(33,1),(34,1),(77,1),(188,1),(191,1)}
        19:{1,3,6}:{(9,1),(27,1),(34,1),(70,1),(151,1)}
        20:{2,3,5,6}:{(10,1),(12,1),(35,1),(36,1),(39,1),(40,1),(80,1),(89,1),(98,1),(131,1),(132,1)}
        21:{2,4}:{(10,1),(37,1)}
        22:{2,3,5,7}:{(10,1),(11,1),(14,1),(38,1),(39,1),(45,1),(89,1),(196,1),(199,1),(201,1)}
        23:{1,2,4,6}:{(12,1),(13,1),(15,1),(35,1),(40,1),(41,1),(49,1),(82,1),(90,1)}
        24:{1,2,5,7}:{(12,1),(16,1),(36,1),(41,1),(42,1),(99,1),(130,1)}
        25:{3,5}:{(13,1),(37,1),(40,1)}
        26:{1,2,4,5,7}:{(13,1),(14,1),(18,1),(38,1),(41,1),(45,1),(46,1),(52,1),(81,1),(86,1),(89,1),(94,1),(95,1),(130,1),(137,1),(139,1),(143,1),(170,1),(172,1),(175,1),(196,1)}
        27:{1,2,6}:{(14,1),(19,1),(39,1)}
        28:{1,4,5,6}:{(15,1),(47,1),(48,1),(54,1),(105,1)}
        29:{3,4,6}:{(15,1),(17,1),(40,1),(47,1),(49,1),(50,1)}
        30:{1,4,7}:{(15,1),(16,1),(50,1),(143,1)}
        31:{1,3,6,7}:{(16,1),(19,1),(42,1),(51,1),(93,1),(100,1),(200,1)}
        32:{2,4,5}:{(17,1),(44,1),(49,1)}
        33:{3,4,5,7}:{(17,1),(18,1),(45,1),(50,1),(52,1),(53,1),(103,1),(139,1),(143,1),(174,1),(177,1)}
        34:{1,4,6}:{(18,1),(19,1),(53,1),(54,1)}
        35:{2,4,6}:{(20,1),(21,1),(55,1),(56,1),(57,1),(124,1)}
        36:{2,3,5,7}:{(20,1),(24,1),(57,1),(58,1),(65,1),(107,1),(111,1),(120,1)}
        37:{3,4}:{(21,1),(25,1),(59,1)}
        38:{2,4,7}:{(21,1),(22,1),(61,1),(62,1),(205,1)}
        39:{2,3,6}:{(22,1),(27,1),(62,1),(70,1),(203,1)}
        40:{3,6}:{(23,1),(25,1),(65,1)}
        41:{1,2,4,7}:{(23,1),(24,1),(30,1),(57,1),(65,1),(75,1),(109,1),(117,1)}
        42:{1,2,6,7}:{(24,1),(27,1),(31,1),(58,1),(125,1),(151,1),(207,1)}
        43:{1,3,5}:{(25,1),(59,1),(63,1),(67,1),(106,1),(112,1)}
        44:{2,3,5}:{(25,1),(32,1),(60,1),(64,1),(67,1)}
        45:{3,5,7}:{(25,1),(26,1),(61,1),(65,1),(70,1),(116,1),(186,1),(189,1)}
        46:{1,2,4,6}:{(26,1),(27,1),(34,1),(62,1),(70,1),(71,1),(78,1),(108,1),(114,1),(121,1),(124,1),(151,1),(183,1),(203,1)}
        47:{3,5,6}:{(28,1),(29,1),(72,1),(73,1)}
        48:{1,4,5,7}:{(28,1),(30,1),(73,1),(74,1),(77,1),(128,1)}
        49:{2,4,6}:{(29,1),(32,1),(64,1),(72,1),(75,1)}
        50:{3,4,7}:{(29,1),(30,1),(65,1),(73,1),(75,1)}
        51:{1,4,6,7}:{(30,1),(31,1),(34,1),(76,1),(77,1),(191,1),(194,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(69,1),(75,1),(78,1),(127,1),(158,1),(161,1)}
        53:{3,4,6}:{(33,1),(34,1),(70,1),(78,1),(79,1),(124,1)}
        54:{1,5,6}:{(34,1),(77,1),(79,1)}
        55:{2,4,5}:{(35,1),(80,1),(89,1),(139,1)}
        56:{3,4,6}:{(35,1),(37,1),(40,1),(80,1),(82,1),(83,1),(131,1)}
        57:{2,4,7}:{(35,1),(36,1),(83,1),(143,1)}
        58:{2,3,6,7}:{(36,1),(39,1),(42,1),(84,1),(93,1),(131,1),(201,1)}
        59:{1,4}:{(37,1),(43,1)}
        60:{2,3,4}:{(37,1),(44,1),(85,1)}
        61:{3,4,7}:{(37,1),(38,1),(45,1),(86,1),(88,1),(143,1),(197,1)}
        62:{2,4,6}:{(38,1),(39,1),(88,1),(89,1)}
        63:{1,3,6}:{(40,1),(43,1),(82,1),(90,1),(91,1)}
        64:{2,3,6}:{(40,1),(44,1),(49,1),(90,1),(92,1)}
        65:{3,7}:{(40,1),(41,1)}
        66:{1,2,4,6,7}:{(41,1),(42,1),(46,1),(51,1),(84,1),(93,1),(94,1),(102,1),(133,1),(140,1),(143,1),(175,1)}
        67:{1,2,5}:{(43,1),(44,1),(85,1),(90,1)}
        68:{1,3,5,7}:{(43,1),(45,1),(86,1),(91,1),(95,1),(96,1),(130,1),(135,1),(137,1),(171,1)}
        69:{2,3,5,7}:{(44,1),(45,1),(52,1),(87,1),(92,1),(95,1),(97,1),(138,1),(196,1)}
        70:{3,6}:{(45,1),(46,1)}
        71:{1,2,5,6}:{(46,1),(54,1),(89,1),(94,1),(98,1),(104,1),(132,1),(137,1),(168,1)}
        72:{2,5,6}:{(47,1),(49,1),(99,1)}
        73:{3,5,7}:{(47,1),(48,1),(50,1),(99,1),(100,1)}
        74:{1,4,6,7}:{(48,1),(100,1),(101,1),(148,1)}
        75:{2,4,7}:{(49,1),(50,1),(92,1),(99,1)}
        76:{3,4,6,7}:{(50,1),(51,1),(53,1),(93,1),(100,1),(102,1),(103,1),(143,1),(148,1),(177,1),(181,1)}
        77:{1,5,7}:{(51,1),(54,1),(103,1)}
        78:{2,4,6}:{(52,1),(53,1),(97,1),(104,1)}
        79:{3,5,6}:{(53,1),(54,1),(103,1),(104,1),(105,1)}
        80:{3,5}:{(55,1),(56,1),(106,1)}
        81:{2,4,5,7}:{(55,1),(57,1),(107,1),(108,1),(111,1),(154,1)}
        82:{1,4,6}:{(56,1),(59,1),(63,1),(106,1),(109,1),(151,1)}
        83:{3,4,7}:{(56,1),(57,1),(65,1),(107,1),(109,1)}
        84:{2,4,6,7}:{(57,1),(58,1),(62,1),(108,1),(110,1),(111,1),(190,1),(203,1)}
        85:{1,2,4}:{(59,1),(60,1),(67,1),(112,1)}
        86:{1,4,7}:{(59,1),(61,1),(68,1),(114,1),(185,1)}
        87:{2,3,4,7}:{(60,1),(61,1),(69,1),(113,1),(115,1),(161,1),(189,1),(190,1)}
        88:{3,4,6}:{(61,1),(62,1),(70,1),(114,1),(116,1),(124,1)}
        89:{2,5}:{(62,1),(116,1)}
        90:{1,2,6}:{(63,1),(64,1),(67,1),(117,1)}
        91:{1,3,7}:{(63,1),(65,1),(109,1),(117,1)}
        92:{2,3,7}:{(64,1),(65,1),(75,1),(117,1)}
        93:{3,6,7}:{(65,1),(66,1),(70,1),(120,1),(189,1)}
        94:{1,2,5,7}:{(66,1),(71,1),(77,1),(111,1),(120,1),(127,1),(153,1)}
        95:{1,2,5,7}:{(67,1),(68,1),(69,1),(113,1),(117,1),(121,1),(156,1)}
        96:{1,3,6}:{(68,1),(70,1),(114,1),(121,1),(151,1)}
        97:{2,3,6}:{(69,1),(70,1),(78,1),(121,1),(203,1)}
        98:{3,5,6}:{(70,1),(71,1),(116,1),(120,1),(124,1)}
        99:{2,5,7}:{(72,1),(73,1),(75,1),(125,1)}
       100:{3,6,7}:{(73,1),(74,1),(125,1)}
       101:{1,5,6,7}:{(74,1),(77,1),(126,1),(194,1)}
       102:{2,4,6,7}:{(75,1),(76,1),(78,1),(119,1),(125,1),(127,1),(161,1)}
       103:{3,5,7}:{(76,1),(77,1),(79,1),(127,1),(128,1)}
       104:{2,5,6}:{(78,1),(79,1),(127,1)}
       105:{4,5,6}:{(79,1),(124,1),(128,1)}
       106:{1,5}:{(80,1),(82,1)}
       107:{3,5,7}:{(80,1),(81,1),(83,1),(130,1),(131,1)}
       108:{2,4,6}:{(81,1),(131,1),(132,1),(169,1)}
       109:{1,4,7}:{(82,1),(83,1),(91,1),(130,1)}
       110:{3,4,6,7}:{(83,1),(84,1),(88,1),(93,1),(131,1),(133,1),(134,1),(143,1),(169,1),(176,1),(195,1)}
       111:{2,5,7}:{(84,1),(89,1),(132,1),(134,1)}
       112:{1,3}:{(85,1)}
       113:{1,2,4,7}:{(85,1),(86,1),(87,1),(95,1),(135,1),(136,1)}
       114:{1,4,6}:{(86,1),(88,1),(96,1),(137,1)}
       115:{2,3,4,6}:{(87,1),(88,1),(97,1),(136,1),(138,1),(146,1),(178,1),(179,1),(197,1)}
       116:{3,5}:{(88,1),(89,1),(137,1),(139,1)}
       117:{1,2,7}:{(90,1),(91,1),(92,1)}
       118:{1,3,6,7}:{(91,1),(93,1),(96,1),(133,1),(140,1),(141,1),(195,1)}
       119:{2,3,6,7}:{(92,1),(93,1),(97,1),(102,1),(140,1),(142,1),(181,1)}
       120:{3,5,7}:{(93,1),(94,1),(98,1),(143,1)}
       121:{1,2,6}:{(95,1),(96,1),(97,1)}
       122:{1,3,5,6}:{(96,1),(98,1),(137,1),(141,1),(144,1),(145,1),(168,1),(171,1),(173,1),(178,1),(195,1)}
       123:{2,3,5,6}:{(97,1),(98,1),(104,1),(138,1),(142,1),(144,1),(146,1),(150,1),(178,1)}
       124:{4,6}:{(98,1),(139,1),(143,1)}
       125:{2,6,7}:{(99,1),(100,1)}
       126:{3,5,6,7}:{(100,1),(101,1),(103,1),(147,1),(148,1),(181,1)}
       127:{2,5,7}:{(102,1),(103,1),(104,1)}
       128:{4,5,7}:{(103,1),(105,1),(143,1),(148,1)}
       129:{2,4,5,6}:{(104,1),(105,1),(146,1),(149,1),(150,1)}
       130:{1,5,7}:{(106,1),(107,1),(109,1),(151,1)}
       131:{3,6}:{(107,1),(108,1),(151,1)}
       132:{2,5,6}:{(108,1),(111,1),(152,1),(203,1)}
       133:{1,4,6,7}:{(109,1),(110,1),(114,1),(118,1),(151,1),(153,1),(160,1),(183,1)}
       134:{3,5,7}:{(110,1),(111,1),(116,1),(152,1),(153,1),(154,1)}
       135:{1,3,7}:{(112,1),(113,1),(155,1),(189,1)}
       136:{1,2,4,6}:{(113,1),(114,1),(115,1),(121,1),(155,1),(156,1),(185,1)}
       137:{1,5}:{(114,1),(116,1)}
       138:{2,3,5}:{(115,1),(116,1),(156,1),(158,1),(186,1),(187,1)}
       139:{4,5}:{(116,1),(124,1)}
       140:{1,2,6,7}:{(117,1),(118,1),(119,1),(121,1),(159,1),(194,1),(203,1)}
       141:{1,3,5,7}:{(118,1),(120,1),(122,1),(153,1),(159,1),(160,1),(184,1),(189,1)}
       142:{2,3,5,7}:{(119,1),(120,1),(123,1),(127,1),(159,1),(161,1),(166,1),(189,1)}
       143:{4,7}:{(120,1),(124,1)}
       144:{1,2,5,6}:{(121,1),(122,1),(123,1),(156,1),(159,1),(162,1),(167,1),(187,1),(203,1)}
       145:{1,4,6}:{(122,1),(124,1),(157,1),(160,1),(163,1),(185,1)}
       146:{2,4,6}:{(123,1),(124,1),(158,1),(161,1),(164,1)}
       147:{2,5,6,7}:{(125,1),(126,1),(127,1),(165,1)}
       148:{4,6,7}:{(126,1),(128,1)}
       149:{2,4,5,7}:{(127,1),(128,1),(129,1),(161,1),(165,1),(166,1)}
       150:{3,5,6}:{(129,1),(164,1),(166,1),(167,1)}
       151:{1,6}:{(130,1),(131,1)}
       152:{3,5,6}:{(131,1),(132,1),(134,1),(168,1),(169,1),(195,1)}
       153:{1,5,7}:{(133,1),(134,1),(137,1),(168,1)}
       154:{4,5,7}:{(134,1),(139,1),(143,1),(169,1)}
       155:{1,3,6}:{(135,1),(136,1),(171,1),(178,1)}
       156:{1,2,5}:{(136,1),(137,1),(138,1),(171,1)}
       157:{1,4,5}:{(137,1),(139,1),(145,1),(173,1)}
       158:{2,4,5}:{(138,1),(139,1),(146,1),(174,1)}
       159:{1,2,5,7}:{(140,1),(141,1),(142,1),(144,1),(175,1),(182,1),(196,1)}
       160:{1,4,7}:{(141,1),(143,1),(145,1),(176,1)}
       161:{2,4,7}:{(142,1),(143,1),(146,1),(177,1)}
       162:{1,2,4,6}:{(144,1),(145,1),(146,1),(172,1),(175,1),(178,1),(179,1),(180,1),(202,1)}
       163:{3,4,6}:{(145,1),(173,1),(176,1),(178,1),(179,1),(195,1),(197,1)}
       164:{3,4,6}:{(146,1),(150,1),(174,1),(177,1),(178,1),(180,1)}
       165:{2,4,6,7}:{(147,1),(148,1),(149,1),(181,1)}
       166:{3,5,7}:{(149,1),(150,1),(177,1),(181,1),(182,1)}
       167:{1,5,6}:{(150,1),(180,1),(182,1)}
       168:{1,5,6}:{(151,1),(152,1),(153,1),(183,1)}
       169:{4,6}:{(152,1),(154,1)}
       170:{1,4,5,7}:{(153,1),(154,1),(157,1),(160,1),(183,1),(184,1)}
       171:{1,3,5}:{(155,1),(156,1),(185,1),(186,1)}
       172:{1,2,4,5}:{(156,1),(157,1),(158,1),(162,1),(185,1),(186,1),(187,1),(188,1),(205,1),(206,1)}
       173:{3,5}:{(157,1),(163,1),(187,1)}
       174:{3,4,5}:{(158,1),(164,1),(186,1),(188,1)}
       175:{1,2,4,7}:{(159,1),(160,1),(161,1),(162,1),(189,1),(190,1),(191,1),(207,1)}
       176:{3,4,7}:{(160,1),(163,1),(184,1),(189,1),(190,1)}
       177:{3,4,7}:{(161,1),(164,1),(166,1),(189,1),(191,1)}
       178:{3,6}:{(162,1),(186,1),(189,1)}
       179:{2,4,6}:{(163,1),(187,1),(190,1),(193,1),(203,1),(205,1)}
       180:{1,4,6}:{(164,1),(167,1),(188,1),(191,1),(192,1)}
       181:{3,6,7}:{(165,1),(166,1),(194,1)}
       182:{1,5,7}:{(166,1),(167,1),(191,1),(194,1)}
       183:{1,4,6}:{(168,1),(169,1),(170,1),(195,1)}
       184:{3,5,7}:{(170,1),(173,1),(176,1),(195,1),(196,1)}
       185:{1,4}:{(171,1),(197,1)}
       186:{3,5}:{(172,1),(178,1),(197,1)}
       187:{2,5}:{(173,1),(179,1)}
       188:{1,4,5}:{(174,1),(180,1),(198,1)}
       189:{3,7}:{(175,1),(178,1)}
       190:{2,4,7}:{(176,1),(179,1),(196,1),(201,1)}
       191:{1,4,7}:{(177,1),(180,1),(182,1),(200,1)}
       192:{1,3,6}:{(178,1),(180,1),(198,1),(200,1),(202,1)}
       193:{2,3,6}:{(178,1),(179,1),(199,1),(201,1),(202,1)}
       194:{1,6,7}:{(181,1),(182,1)}
       195:{3,6}:{(183,1),(184,1),(203,1)}
       196:{2,5,7}:{(184,1),(187,1),(190,1),(203,1)}
       197:{3,4}:{(185,1),(186,1),(205,1)}
       198:{1,3,5}:{(186,1),(188,1),(192,1),(204,1),(206,1)}
       199:{2,3,5}:{(186,1),(187,1),(193,1),(205,1),(206,1),(209,1)}
       200:{1,3,7}:{(189,1),(191,1),(192,1),(207,1)}
       201:{2,3,7}:{(189,1),(190,1),(193,1),(207,1)}
       202:{1,2,6}:{(192,1),(193,1),(206,1),(207,1)}
       203:{2,6}:{(195,1),(196,1)}
       204:{1,3,4}:{(197,1),(198,1),(208,1)}
       205:{2,4}:{(197,1),(199,1)}
       206:{1,2,5}:{(198,1),(199,1),(202,1),(208,1)}
       207:{1,2,7}:{(200,1),(201,1),(202,1)}
       208:{1,2,4}:{(204,1),(205,1),(206,1),(209,1)}
       209:{2,3}:{(208,1)}

 283 :   0:{1,3,4,7}:{(1,1),(2,1),(3,1),(35,1),(53,1),(101,1),(152,1),(203,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(6,1),(20,1),(208,1)}
         2:{1,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(9,1),(23,1),(173,1),(196,1),(200,1)}
         3:{1,3,4,6}:{(0,1),(6,1),(8,1),(9,1),(33,1),(58,1),(63,1),(71,1),(124,1)}
         4:{2,3,7}:{(1,1),(11,1),(101,1),(209,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(205,1),(207,1)}
         6:{1,2,4,6}:{(1,1),(3,1),(11,1),(13,1),(14,1),(36,1),(39,1)}
         7:{1,4,5,7}:{(2,1),(15,1),(16,1),(19,1),(51,1),(53,1),(187,1),(193,1)}
         8:{1,3,6}:{(2,1),(13,1),(16,1),(42,1),(188,1)}
         9:{1,3,5}:{(3,1),(14,1),(19,1),(47,1),(87,1),(151,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(20,1),(21,1),(22,1),(23,1),(60,1),(197,1),(199,1),(201,1)}
        11:{2,3,6}:{(4,1),(6,1),(22,1),(71,1)}
        12:{1,2,4,5,7}:{(5,1),(7,1),(20,1),(23,1),(24,1),(27,1),(28,1),(56,1),(60,1),(64,1),(69,1),(70,1),(116,1),(119,1),(121,1),(132,1),(166,1),(168,1),(173,1),(174,1),(199,1)}
        13:{1,2,6}:{(5,1),(8,1),(21,1)}
        14:{1,2,5}:{(6,1),(9,1),(22,1),(60,1)}
        15:{3,4,5,7}:{(7,1),(23,1),(28,1),(29,1),(34,1),(76,1),(81,1),(119,1),(132,1),(170,1),(178,1)}
        16:{1,4,6}:{(7,1),(8,1),(29,1),(31,1)}
        17:{1,3,6,7}:{(8,1),(25,1),(30,1),(32,1),(67,1),(140,1),(200,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(26,1),(31,1),(32,1),(33,1),(68,1),(71,1),(80,1)}
        19:{1,4,5}:{(9,1),(33,1),(34,1),(119,1)}
        20:{2,4,7}:{(10,1),(35,1),(36,1),(39,1),(204,1)}
        21:{2,3,6}:{(10,1),(13,1),(36,1),(42,1),(206,1)}
        22:{2,3,5}:{(11,1),(14,1),(39,1),(47,1)}
        23:{3,5,7}:{(12,1),(35,1),(42,1),(47,1),(87,1),(101,1),(183,1),(189,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(16,1),(36,1),(42,1),(44,1),(48,1),(84,1),(94,1),(100,1),(149,1),(184,1),(188,1),(206,1)}
        25:{1,2,6,7}:{(13,1),(17,1),(37,1),(45,1),(164,1),(188,1),(207,1)}
        26:{1,2,5,6}:{(13,1),(14,1),(18,1),(38,1),(45,1),(46,1),(111,1),(151,1),(188,1)}
        27:{1,2,4,5}:{(14,1),(19,1),(39,1),(46,1),(47,1),(55,1),(89,1),(92,1),(104,1),(151,1)}
        28:{2,4,5,7}:{(15,1),(41,1),(48,1),(55,1),(105,1),(112,1),(146,1),(158,1)}
        29:{3,4,6}:{(15,1),(16,1),(42,1),(48,1),(50,1),(100,1)}
        30:{1,4,6,7}:{(16,1),(17,1),(49,1),(51,1),(53,1),(193,1),(194,1)}
        31:{1,5,6}:{(16,1),(50,1),(51,1)}
        32:{1,3,5,7}:{(17,1),(18,1),(45,1),(51,1),(53,1),(99,1),(101,1),(110,1)}
        33:{1,4,6}:{(18,1),(19,1),(53,1),(54,1),(100,1)}
        34:{3,4,5}:{(19,1),(47,1),(54,1),(55,1)}
        35:{3,4,7}:{(20,1),(23,1),(56,1),(58,1),(63,1),(132,1),(195,1)}
        36:{2,4,6}:{(20,1),(21,1),(58,1),(60,1)}
        37:{2,3,6,7}:{(21,1),(25,1),(59,1),(61,1),(67,1),(172,1),(201,1)}
        38:{2,3,5,6}:{(21,1),(22,1),(26,1),(60,1),(61,1),(62,1),(68,1),(71,1),(120,1),(122,1),(172,1)}
        39:{2,4}:{(22,1),(63,1)}
        40:{1,3,5,7}:{(23,1),(56,1),(64,1),(65,1),(72,1),(113,1),(116,1),(133,1),(165,1),(173,1)}
        41:{2,3,5,7}:{(23,1),(28,1),(57,1),(64,1),(66,1),(73,1),(117,1),(134,1),(199,1)}
        42:{3,6}:{(23,1),(24,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(30,1),(59,1),(67,1),(69,1),(70,1),(74,1),(115,1),(126,1),(132,1),(174,1)}
        44:{1,2,5,6}:{(24,1),(31,1),(60,1),(68,1),(69,1),(75,1),(116,1),(120,1),(167,1)}
        45:{1,2,5,7}:{(25,1),(26,1),(32,1),(61,1),(70,1),(141,1),(173,1)}
        46:{1,2,4,6}:{(26,1),(27,1),(33,1),(62,1),(70,1),(71,1),(82,1),(124,1),(135,1)}
        47:{3,5}:{(27,1),(63,1),(71,1)}
        48:{2,4,6}:{(28,1),(29,1),(66,1),(75,1)}
        49:{3,4,6,7}:{(29,1),(30,1),(67,1),(74,1),(76,1),(81,1),(132,1),(139,1),(140,1),(178,1),(180,1)}
        50:{3,5,6}:{(29,1),(31,1),(75,1),(76,1),(77,1)}
        51:{1,5,7}:{(30,1),(31,1),(76,1)}
        52:{1,4,5,6}:{(31,1),(33,1),(77,1),(79,1),(80,1)}
        53:{1,4,7}:{(32,1),(33,1),(81,1),(132,1)}
        54:{3,4,6}:{(33,1),(34,1),(71,1),(80,1),(81,1),(82,1)}
        55:{2,4,5}:{(34,1),(73,1),(82,1)}
        56:{1,4,7}:{(35,1),(40,1),(84,1),(92,1),(182,1)}
        57:{2,3,4,7}:{(35,1),(41,1),(83,1),(85,1),(93,1),(158,1),(189,1),(192,1)}
        58:{3,4,6}:{(35,1),(36,1),(42,1),(84,1),(87,1),(100,1)}
        59:{2,4,6,7}:{(36,1),(37,1),(86,1),(88,1),(90,1),(149,1),(192,1),(206,1)}
        60:{2,5}:{(36,1),(87,1)}
        61:{2,3,5,7}:{(37,1),(38,1),(45,1),(88,1),(90,1),(99,1),(101,1),(150,1)}
        62:{2,4,6}:{(38,1),(39,1),(89,1),(90,1),(91,1),(100,1)}
        63:{3,4}:{(39,1),(47,1),(92,1)}
        64:{1,2,5,7}:{(40,1),(41,1),(83,1),(94,1),(104,1),(143,1),(160,1)}
        65:{1,3,6}:{(40,1),(42,1),(84,1),(94,1),(188,1)}
        66:{2,3,6}:{(41,1),(42,1),(48,1),(94,1),(206,1)}
        67:{3,6,7}:{(42,1),(43,1),(99,1),(101,1),(189,1)}
        68:{3,5,6}:{(42,1),(44,1),(87,1),(99,1),(100,1)}
        69:{1,2,5,7}:{(43,1),(44,1),(51,1),(88,1),(99,1),(105,1),(144,1)}
        70:{1,2,4,7}:{(45,1),(46,1),(53,1),(90,1),(101,1),(112,1),(152,1),(160,1)}
        71:{3,6}:{(46,1),(47,1),(101,1)}
        72:{1,3,5}:{(47,1),(92,1),(102,1),(104,1),(151,1),(153,1)}
        73:{2,3,5}:{(47,1),(55,1),(93,1),(103,1),(104,1)}
        74:{2,4,6,7}:{(48,1),(49,1),(97,1),(105,1),(112,1),(158,1),(164,1)}
        75:{2,5,6}:{(48,1),(50,1),(105,1)}
        76:{3,5,7}:{(49,1),(50,1),(51,1),(105,1),(108,1)}
        77:{4,5,6}:{(50,1),(100,1),(108,1)}
        78:{1,5,6,7}:{(51,1),(107,1),(109,1),(194,1)}
        79:{1,4,5,7}:{(51,1),(52,1),(53,1),(108,1),(109,1),(110,1)}
        80:{3,5,6}:{(52,1),(54,1),(110,1),(111,1)}
        81:{3,4,7}:{(53,1),(54,1),(101,1),(110,1),(112,1)}
        82:{2,4,6}:{(54,1),(55,1),(103,1),(111,1),(112,1)}
        83:{1,2,4,7}:{(56,1),(57,1),(64,1),(113,1),(114,1),(125,1)}
        84:{1,4,6}:{(56,1),(58,1),(65,1),(116,1)}
        85:{2,3,4,6}:{(57,1),(58,1),(66,1),(114,1),(117,1),(131,1),(175,1),(177,1),(195,1)}
        86:{3,4,6,7}:{(58,1),(59,1),(67,1),(115,1),(118,1),(123,1),(132,1),(171,1),(172,1),(176,1),(198,1)}
        87:{3,5}:{(58,1),(60,1),(116,1),(119,1)}
        88:{2,5,7}:{(59,1),(60,1),(118,1),(120,1)}
        89:{2,4,5}:{(60,1),(62,1),(119,1),(122,1)}
        90:{2,4,7}:{(61,1),(62,1),(123,1),(132,1)}
        91:{3,4,6}:{(62,1),(63,1),(71,1),(122,1),(123,1),(124,1),(172,1)}
        92:{1,4}:{(63,1),(72,1)}
        93:{2,3,4}:{(63,1),(73,1),(125,1)}
        94:{1,2,6}:{(64,1),(65,1),(66,1)}
        95:{1,3,6,7}:{(65,1),(67,1),(115,1),(126,1),(128,1),(133,1),(198,1)}
        96:{1,3,5,6}:{(65,1),(68,1),(116,1),(127,1),(128,1),(129,1),(165,1),(167,1),(169,1),(175,1),(198,1)}
        97:{2,3,6,7}:{(66,1),(67,1),(74,1),(126,1),(130,1),(134,1),(180,1)}
        98:{2,3,5,6}:{(66,1),(68,1),(75,1),(117,1),(127,1),(130,1),(131,1),(138,1),(175,1)}
        99:{3,5,7}:{(67,1),(68,1),(69,1),(132,1)}
       100:{4,6}:{(68,1),(119,1),(132,1)}
       101:{3,7}:{(70,1),(71,1)}
       102:{1,3,6}:{(71,1),(72,1),(124,1),(133,1),(135,1)}
       103:{2,3,6}:{(71,1),(73,1),(82,1),(134,1),(135,1)}
       104:{1,2,5}:{(72,1),(73,1),(125,1),(135,1)}
       105:{2,5,7}:{(74,1),(75,1),(76,1)}
       106:{2,4,5,6}:{(75,1),(77,1),(131,1),(137,1),(138,1)}
       107:{3,5,6,7}:{(76,1),(78,1),(136,1),(139,1),(140,1),(180,1)}
       108:{4,5,7}:{(76,1),(77,1),(132,1),(139,1)}
       109:{1,4,6,7}:{(78,1),(79,1),(139,1),(140,1)}
       110:{3,5,7}:{(79,1),(80,1),(81,1),(140,1),(141,1)}
       111:{2,5,6}:{(80,1),(82,1),(141,1)}
       112:{2,4,7}:{(81,1),(82,1),(134,1),(141,1)}
       113:{1,3,7}:{(83,1),(142,1),(153,1),(189,1)}
       114:{1,2,4,6}:{(83,1),(84,1),(85,1),(94,1),(142,1),(143,1),(182,1)}
       115:{1,4,6,7}:{(84,1),(86,1),(95,1),(144,1),(152,1),(156,1),(184,1),(188,1)}
       116:{1,5}:{(84,1),(87,1)}
       117:{2,3,5}:{(85,1),(87,1),(143,1),(146,1),(183,1),(186,1)}
       118:{3,5,7}:{(86,1),(87,1),(88,1),(144,1),(147,1),(148,1)}
       119:{4,5}:{(87,1),(100,1)}
       120:{2,5,6}:{(88,1),(147,1),(149,1),(206,1)}
       121:{2,4,5,7}:{(88,1),(89,1),(90,1),(148,1),(149,1),(150,1)}
       122:{3,5}:{(89,1),(91,1),(151,1)}
       123:{3,4,7}:{(90,1),(91,1),(101,1),(150,1),(152,1)}
       124:{1,4,6}:{(91,1),(92,1),(102,1),(151,1),(152,1),(188,1)}
       125:{1,2,4}:{(92,1),(93,1),(104,1),(153,1)}
       126:{1,2,6,7}:{(94,1),(95,1),(97,1),(154,1),(160,1),(194,1),(206,1)}
       127:{1,2,5,6}:{(94,1),(96,1),(98,1),(143,1),(154,1),(155,1),(163,1),(186,1),(206,1)}
       128:{1,3,5,7}:{(95,1),(96,1),(99,1),(144,1),(154,1),(156,1),(185,1),(189,1)}
       129:{1,4,6}:{(96,1),(100,1),(145,1),(156,1),(157,1),(182,1)}
       130:{2,3,5,7}:{(97,1),(98,1),(99,1),(105,1),(154,1),(158,1),(162,1),(189,1)}
       131:{2,4,6}:{(98,1),(100,1),(146,1),(158,1),(159,1)}
       132:{4,7}:{(99,1),(100,1)}
       133:{1,3,7}:{(101,1),(102,1),(152,1),(160,1)}
       134:{2,3,7}:{(101,1),(103,1),(112,1),(160,1)}
       135:{1,2,6}:{(102,1),(103,1),(104,1),(160,1)}
       136:{2,5,6,7}:{(105,1),(107,1),(161,1),(164,1)}
       137:{2,4,5,7}:{(105,1),(106,1),(108,1),(158,1),(161,1),(162,1)}
       138:{3,5,6}:{(106,1),(159,1),(162,1),(163,1)}
       139:{4,6,7}:{(107,1),(108,1)}
       140:{3,6,7}:{(109,1),(110,1),(164,1)}
       141:{2,5,7}:{(110,1),(111,1),(112,1),(164,1)}
       142:{1,3,6}:{(113,1),(114,1),(165,1),(175,1)}
       143:{1,2,5}:{(114,1),(116,1),(117,1),(165,1)}
       144:{1,5,7}:{(115,1),(116,1),(118,1),(167,1)}
       145:{1,4,5}:{(116,1),(119,1),(129,1),(169,1)}
       146:{2,4,5}:{(117,1),(119,1),(131,1),(170,1)}
       147:{3,5,6}:{(118,1),(120,1),(167,1),(171,1),(172,1),(198,1)}
       148:{4,5,7}:{(118,1),(119,1),(132,1),(171,1)}
       149:{2,4,6}:{(120,1),(121,1),(171,1),(172,1)}
       150:{3,5,7}:{(121,1),(122,1),(123,1),(172,1),(173,1)}
       151:{1,5}:{(122,1),(124,1)}
       152:{1,4,7}:{(123,1),(124,1),(133,1),(173,1)}
       153:{1,3}:{(125,1)}
       154:{1,2,5,7}:{(126,1),(127,1),(128,1),(130,1),(174,1),(181,1),(199,1)}
       155:{1,2,4,6}:{(127,1),(129,1),(131,1),(166,1),(174,1),(175,1),(177,1),(179,1),(202,1)}
       156:{1,4,7}:{(128,1),(129,1),(132,1),(176,1)}
       157:{3,4,6}:{(129,1),(169,1),(175,1),(176,1),(177,1),(195,1),(198,1)}
       158:{2,4,7}:{(130,1),(131,1),(132,1),(178,1)}
       159:{3,4,6}:{(131,1),(138,1),(170,1),(175,1),(178,1),(179,1)}
       160:{1,2,7}:{(133,1),(134,1),(135,1)}
       161:{2,4,6,7}:{(136,1),(137,1),(139,1),(180,1)}
       162:{3,5,7}:{(137,1),(138,1),(178,1),(180,1),(181,1)}
       163:{1,5,6}:{(138,1),(179,1),(181,1)}
       164:{2,6,7}:{(140,1),(141,1)}
       165:{1,3,5}:{(142,1),(143,1),(182,1),(183,1)}
       166:{1,2,4,5}:{(143,1),(145,1),(146,1),(155,1),(182,1),(183,1),(186,1),(187,1),(204,1),(205,1)}
       167:{1,5,6}:{(144,1),(147,1),(184,1),(188,1)}
       168:{1,4,5,7}:{(144,1),(145,1),(148,1),(156,1),(184,1),(185,1)}
       169:{3,5}:{(145,1),(157,1),(186,1)}
       170:{3,4,5}:{(146,1),(159,1),(183,1),(187,1)}
       171:{4,6}:{(147,1),(148,1)}
       172:{3,6}:{(149,1),(150,1),(188,1)}
       173:{1,5,7}:{(150,1),(151,1),(152,1),(188,1)}
       174:{1,2,4,7}:{(154,1),(155,1),(156,1),(158,1),(189,1),(192,1),(193,1),(207,1)}
       175:{3,6}:{(155,1),(183,1),(189,1)}
       176:{3,4,7}:{(156,1),(157,1),(185,1),(189,1),(192,1)}
       177:{2,4,6}:{(157,1),(186,1),(191,1),(192,1),(204,1),(206,1)}
       178:{3,4,7}:{(158,1),(159,1),(162,1),(189,1),(193,1)}
       179:{1,4,6}:{(159,1),(163,1),(187,1),(190,1),(193,1)}
       180:{3,6,7}:{(161,1),(162,1),(194,1)}
       181:{1,5,7}:{(162,1),(163,1),(193,1),(194,1)}
       182:{1,4}:{(165,1),(195,1)}
       183:{3,5}:{(166,1),(175,1),(195,1)}
       184:{1,4,6}:{(167,1),(168,1),(171,1),(198,1)}
       185:{3,5,7}:{(168,1),(169,1),(176,1),(198,1),(199,1)}
       186:{2,5}:{(169,1),(177,1)}
       187:{1,4,5}:{(170,1),(179,1),(196,1)}
       188:{1,6}:{(172,1),(173,1)}
       189:{3,7}:{(174,1),(175,1)}
       190:{1,3,6}:{(175,1),(179,1),(196,1),(200,1),(202,1)}
       191:{2,3,6}:{(175,1),(177,1),(197,1),(201,1),(202,1)}
       192:{2,4,7}:{(176,1),(177,1),(199,1),(201,1)}
       193:{1,4,7}:{(178,1),(179,1),(181,1),(200,1)}
       194:{1,6,7}:{(180,1),(181,1)}
       195:{3,4}:{(182,1),(183,1),(204,1)}
       196:{1,3,5}:{(183,1),(187,1),(190,1),(203,1),(205,1)}
       197:{2,3,5}:{(183,1),(186,1),(191,1),(204,1),(205,1),(209,1)}
       198:{3,6}:{(184,1),(185,1),(206,1)}
       199:{2,5,7}:{(185,1),(186,1),(192,1),(206,1)}
       200:{1,3,7}:{(189,1),(190,1),(193,1),(207,1)}
       201:{2,3,7}:{(189,1),(191,1),(192,1),(207,1)}
       202:{1,2,6}:{(190,1),(191,1),(205,1),(207,1)}
       203:{1,3,4}:{(195,1),(196,1),(208,1)}
       204:{2,4}:{(195,1),(197,1)}
       205:{1,2,5}:{(196,1),(197,1),(202,1),(208,1)}
       206:{2,6}:{(198,1),(199,1)}
       207:{1,2,7}:{(200,1),(201,1),(202,1)}
       208:{1,2,4}:{(203,1),(204,1),(205,1),(209,1)}
       209:{2,3}:{(208,1)}

 284 :  0:{1,3,4}:{(2,1),(3,1),(37,1)}
        1:{3,4,5}:{(4,1),(5,1),(6,1),(22,1),(71,1)}
        2:{1,3,5}:{(0,1),(4,1),(7,1),(8,1),(22,1)}
        3:{1,2,4}:{(0,1),(7,1),(9,1),(30,1)}
        4:{1,4,5}:{(1,1),(2,1),(12,1)}
        5:{2,4,5}:{(1,1),(10,1),(13,1)}
        6:{3,4,6}:{(1,1),(12,1),(13,1),(14,1),(15,1),(38,1),(64,1)}
        7:{1,2,5}:{(2,1),(3,1),(16,1),(17,1)}
        8:{1,3,6}:{(2,1),(12,1),(17,1),(18,1),(38,1)}
        9:{2,3}:{(3,1)}
       10:{2,3,5}:{(5,1),(19,1),(20,1),(21,1),(22,1)}
       11:{1,2,4,5}:{(4,1),(5,1),(7,1),(20,1),(22,1),(23,1),(30,1),(48,1),(58,1),(69,1),(71,1)}
       12:{1,4,6}:{(4,1),(6,1),(8,1),(24,1),(25,1)}
       13:{2,4,6}:{(5,1),(6,1),(21,1),(26,1),(27,1)}
       14:{3,5,6}:{(6,1),(24,1),(26,1),(28,1),(29,1)}
       15:{3,4,7}:{(6,1),(25,1),(27,1),(29,1),(53,1),(73,1)}
       16:{2,3,5}:{(7,1),(9,1),(22,1),(30,1),(31,1),(58,1)}
       17:{1,2,6}:{(7,1),(8,1),(31,1),(32,1)}
       18:{1,3,7}:{(8,1),(25,1),(32,1),(53,1)}
       19:{2,3,4}:{(10,1),(33,1),(37,1)}
       20:{1,2,5}:{(10,1),(33,1),(34,1),(35,1)}
       21:{2,3,6}:{(10,1),(13,1),(35,1),(36,1),(38,1)}
       22:{3,5}:{(11,1),(37,1),(38,1)}
       23:{1,2,4,6}:{(11,1),(12,1),(13,1),(17,1),(35,1),(38,1),(39,1),(40,1),(45,1),(60,1),(64,1)}
       24:{1,5,6}:{(12,1),(14,1),(41,1)}
       25:{1,4,7}:{(12,1),(15,1),(18,1),(41,1)}
       26:{2,5,6}:{(13,1),(14,1),(42,1)}
       27:{2,4,7}:{(13,1),(15,1),(36,1),(42,1)}
       28:{4,5,6}:{(14,1),(43,1),(64,1),(83,1)}
       29:{3,5,7}:{(14,1),(15,1),(41,1),(42,1),(43,1),(44,1)}
       30:{2,4}:{(16,1),(37,1)}
       31:{2,3,6}:{(16,1),(17,1),(38,1),(45,1),(46,1)}
       32:{1,2,7}:{(17,1),(18,1),(46,1)}
       33:{1,2,4}:{(19,1),(20,1),(47,1),(48,1)}
       34:{1,3,5}:{(20,1),(22,1),(47,1),(48,1),(49,1),(69,1)}
       35:{1,2,6}:{(20,1),(21,1),(49,1),(50,1)}
       36:{2,3,7}:{(21,1),(27,1),(50,1),(53,1)}
       37:{3,4}:{(22,1),(30,1),(48,1)}
       38:{3,6}:{(22,1),(23,1),(53,1)}
       39:{1,2,5,6}:{(23,1),(24,1),(26,1),(52,1),(54,1),(58,1),(69,1),(75,1),(80,1)}
       40:{1,2,4,7}:{(23,1),(25,1),(27,1),(32,1),(50,1),(53,1),(54,1),(59,1),(70,1),(73,1)}
       41:{1,5,7}:{(24,1),(25,1),(29,1),(55,1)}
       42:{2,5,7}:{(26,1),(27,1),(29,1),(56,1)}
       43:{4,5,7}:{(28,1),(29,1),(57,1),(73,1),(82,1)}
       44:{3,6,7}:{(29,1),(55,1),(56,1),(57,1)}
       45:{2,4,6}:{(30,1),(31,1),(51,1),(58,1),(59,1),(75,1)}
       46:{2,3,7}:{(31,1),(32,1),(53,1),(59,1)}
       47:{1,3}:{(33,1)}
       48:{1,4}:{(34,1),(37,1)}
       49:{1,3,6}:{(34,1),(35,1),(38,1),(60,1),(61,1)}
       50:{1,2,7}:{(35,1),(36,1),(61,1)}
       51:{3,4,6}:{(37,1),(38,1),(45,1),(60,1),(62,1),(63,1),(64,1),(78,1)}
       52:{3,5,6}:{(38,1),(39,1),(62,1),(64,1),(65,1),(78,1),(83,1)}
       53:{3,7}:{(38,1),(40,1)}
       54:{1,2,5,7}:{(39,1),(40,1),(41,1),(42,1),(65,1),(66,1),(68,1),(76,1)}
       55:{1,6,7}:{(41,1),(44,1)}
       56:{2,6,7}:{(42,1),(44,1)}
       57:{4,6,7}:{(43,1),(44,1),(67,1)}
       58:{2,5}:{(45,1),(62,1)}
       59:{2,4,7}:{(45,1),(46,1),(63,1),(68,1)}
       60:{1,4,6}:{(48,1),(49,1),(51,1),(69,1),(70,1),(80,1)}
       61:{1,3,7}:{(49,1),(50,1),(53,1),(70,1)}
       62:{3,5}:{(51,1),(58,1),(69,1),(71,1)}
       63:{3,4,7}:{(51,1),(53,1),(59,1),(70,1),(72,1),(73,1)}
       64:{4,6}:{(52,1),(71,1),(73,1)}
       65:{3,5,7}:{(52,1),(53,1),(54,1),(73,1),(74,1),(82,1)}
       66:{1,2,6,7}:{(54,1),(55,1),(56,1),(74,1),(75,1),(80,1)}
       67:{5,6,7}:{(57,1),(82,1)}
       68:{2,5,7}:{(58,1),(59,1),(72,1),(75,1)}
       69:{1,5}:{(60,1),(62,1)}
       70:{1,4,7}:{(60,1),(61,1),(63,1),(76,1)}
       71:{4,5}:{(62,1),(64,1)}
       72:{3,5,7}:{(62,1),(63,1),(68,1),(76,1),(77,1),(78,1)}
       73:{4,7}:{(64,1),(65,1)}
       74:{3,6,7}:{(65,1),(66,1),(78,1),(79,1)}
       75:{2,6}:{(68,1),(78,1)}
       76:{1,5,7}:{(69,1),(70,1),(72,1),(80,1)}
       77:{4,5,7}:{(71,1),(72,1),(73,1),(81,1),(82,1)}
       78:{3,6}:{(72,1),(75,1),(80,1),(81,1)}
       79:{4,6,7}:{(73,1),(74,1),(81,1),(82,1)}
       80:{1,6}:{(76,1),(78,1)}
       81:{4,6}:{(77,1),(78,1),(83,1)}
       82:{5,7}:{(79,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 285 :   0:{1,3,6,7}:{(4,1),(6,1),(7,1),(25,1),(83,1),(121,1),(146,1)}
         1:{1,3,5,6}:{(5,1),(7,1),(8,1),(29,1),(32,1),(34,1),(70,1),(75,1),(83,1),(121,1),(152,1),(168,1)}
         2:{2,3,6,7}:{(4,1),(9,1),(10,1),(25,1),(88,1),(122,1),(147,1)}
         3:{2,3,5,6}:{(5,1),(10,1),(11,1),(29,1),(39,1),(41,1),(70,1),(76,1),(88,1),(122,1),(153,1),(168,1)}
         4:{1,2,6,7}:{(0,1),(2,1),(13,1),(106,1),(109,1),(141,1),(159,1)}
         5:{1,2,5,6}:{(1,1),(3,1),(13,1),(14,1),(58,1),(65,1),(102,1),(106,1),(109,1),(141,1),(162,1)}
         6:{1,4,6,7}:{(0,1),(15,1),(16,1),(18,1),(56,1),(135,1),(137,1),(142,1)}
         7:{1,3,5,7}:{(0,1),(1,1),(13,1),(16,1),(18,1),(46,1),(50,1),(57,1)}
         8:{1,4,6}:{(1,1),(17,1),(18,1),(19,1),(95,1),(97,1),(172,1)}
         9:{2,4,6,7}:{(2,1),(20,1),(21,1),(23,1),(63,1),(132,1),(138,1),(143,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(13,1),(21,1),(23,1),(46,1),(50,1),(64,1)}
        11:{2,4,6}:{(3,1),(22,1),(23,1),(24,1),(95,1),(98,1),(172,1)}
        12:{1,2,4,6,7}:{(4,1),(6,1),(9,1),(25,1),(26,1),(28,1),(30,1),(37,1),(67,1),(71,1),(73,1),(111,1),(154,1)}
        13:{1,2,5,7}:{(4,1),(5,1),(7,1),(10,1),(28,1),(84,1),(89,1)}
        14:{1,2,4,6}:{(5,1),(8,1),(11,1),(27,1),(28,1),(29,1),(36,1),(43,1),(79,1),(120,1)}
        15:{3,4,6,7}:{(6,1),(25,1),(30,1),(31,1),(35,1),(71,1),(82,1),(83,1),(115,1),(117,1),(124,1)}
        16:{1,5,7}:{(6,1),(31,1),(32,1),(152,1)}
        17:{1,4,5}:{(8,1),(34,1),(116,1),(152,1)}
        18:{1,4,7}:{(7,1),(8,1),(35,1),(71,1)}
        19:{3,4,6}:{(8,1),(29,1),(34,1),(35,1),(36,1),(72,1),(83,1)}
        20:{3,4,6,7}:{(9,1),(25,1),(37,1),(38,1),(42,1),(71,1),(87,1),(88,1),(113,1),(117,1),(126,1)}
        21:{2,5,7}:{(9,1),(38,1),(39,1),(153,1)}
        22:{2,4,5}:{(11,1),(41,1),(116,1),(153,1)}
        23:{2,4,7}:{(10,1),(11,1),(42,1),(71,1)}
        24:{3,4,6}:{(11,1),(29,1),(41,1),(42,1),(43,1),(72,1),(88,1)}
        25:{3,6,7}:{(12,1),(46,1),(50,1),(99,1),(129,1),(163,1)}
        26:{1,2,5,7}:{(12,1),(16,1),(21,1),(46,1),(47,1),(53,1),(60,1),(162,1)}
        27:{1,2,4,5}:{(14,1),(17,1),(22,1),(49,1),(58,1),(65,1),(97,1),(98,1),(102,1),(162,1),(172,1)}
        28:{1,2,4,7}:{(13,1),(14,1),(18,1),(23,1),(50,1),(59,1),(66,1),(103,1)}
        29:{3,6}:{(14,1),(49,1),(50,1),(140,1)}
        30:{2,4,6,7}:{(15,1),(45,1),(53,1),(59,1),(94,1),(104,1),(106,1),(138,1)}
        31:{3,5,7}:{(15,1),(16,1),(53,1),(54,1),(55,1),(136,1)}
        32:{1,5,6}:{(16,1),(54,1),(56,1),(142,1)}
        33:{1,4,5,7}:{(16,1),(17,1),(18,1),(55,1),(56,1),(57,1)}
        34:{3,5}:{(17,1),(19,1),(58,1)}
        35:{3,4,7}:{(18,1),(19,1),(50,1),(57,1),(59,1)}
        36:{2,4,6}:{(19,1),(52,1),(58,1),(59,1),(98,1),(106,1)}
        37:{1,4,6,7}:{(20,1),(44,1),(60,1),(66,1),(92,1),(107,1),(109,1),(137,1)}
        38:{3,5,7}:{(20,1),(21,1),(60,1),(61,1),(62,1),(136,1)}
        39:{2,5,6}:{(21,1),(61,1),(63,1),(143,1)}
        40:{2,4,5,7}:{(21,1),(22,1),(23,1),(62,1),(63,1),(64,1)}
        41:{3,5}:{(22,1),(24,1),(65,1)}
        42:{3,4,7}:{(23,1),(24,1),(50,1),(64,1),(66,1)}
        43:{1,4,6}:{(24,1),(51,1),(65,1),(66,1),(97,1),(109,1)}
        44:{1,3,6,7}:{(25,1),(37,1),(67,1),(68,1),(77,1),(121,1),(126,1)}
        45:{2,3,6,7}:{(25,1),(30,1),(67,1),(69,1),(78,1),(122,1),(124,1)}
        46:{3,5,7}:{(25,1),(26,1),(70,1),(71,1),(168,1)}
        47:{1,2,5,6}:{(26,1),(32,1),(39,1),(70,1),(73,1),(80,1),(85,1),(152,1),(153,1)}
        48:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(33,1),(40,1),(71,1),(73,1),(74,1),(81,1),(84,1),(86,1),(89,1),(111,1),(116,1),(118,1),(119,1),(123,1),(125,1),(127,1),(144,1),(152,1),(153,1)}
        49:{3,5}:{(27,1),(29,1),(72,1)}
        50:{3,7}:{(28,1),(29,1)}
        51:{1,3,6}:{(29,1),(43,1),(75,1),(77,1),(79,1)}
        52:{2,3,6}:{(29,1),(36,1),(76,1),(78,1),(79,1)}
        53:{2,5,7}:{(30,1),(31,1),(80,1),(153,1)}
        54:{3,5,6}:{(31,1),(32,1),(80,1),(82,1),(83,1),(124,1)}
        55:{4,5,7}:{(31,1),(71,1),(82,1),(116,1)}
        56:{1,4,6}:{(32,1),(33,1),(82,1),(83,1)}
        57:{3,5,7}:{(33,1),(34,1),(35,1),(83,1),(84,1)}
        58:{2,5}:{(34,1),(36,1)}
        59:{2,4,7}:{(35,1),(36,1),(78,1),(84,1)}
        60:{1,5,7}:{(37,1),(38,1),(85,1),(152,1)}
        61:{3,5,6}:{(38,1),(39,1),(85,1),(87,1),(88,1),(126,1)}
        62:{4,5,7}:{(38,1),(71,1),(87,1),(116,1)}
        63:{2,4,6}:{(39,1),(40,1),(87,1),(88,1)}
        64:{3,5,7}:{(40,1),(41,1),(42,1),(88,1),(89,1)}
        65:{1,5}:{(41,1),(43,1)}
        66:{1,4,7}:{(42,1),(43,1),(77,1),(89,1)}
        67:{1,2,6,7}:{(44,1),(45,1),(90,1),(103,1),(141,1),(142,1),(143,1)}
        68:{1,3,5,7}:{(44,1),(46,1),(60,1),(90,1),(91,1),(92,1),(108,1),(129,1)}
        69:{2,3,5,7}:{(45,1),(46,1),(53,1),(90,1),(93,1),(94,1),(105,1),(129,1)}
        70:{3,5,6}:{(46,1),(47,1),(95,1),(99,1),(136,1)}
        71:{4,7}:{(46,1),(95,1),(172,1)}
        72:{3,4}:{(49,1),(97,1),(98,1),(140,1),(172,1)}
        73:{1,2,4,6}:{(47,1),(48,1),(56,1),(63,1),(95,1),(99,1),(104,1),(106,1),(107,1),(109,1),(137,1),(138,1),(141,1),(142,1),(143,1)}
        74:{3,5,7}:{(48,1),(49,1),(50,1),(96,1),(99,1),(129,1),(136,1),(156,1)}
        75:{1,3,5}:{(49,1),(51,1),(65,1),(97,1),(102,1),(140,1)}
        76:{2,3,5}:{(49,1),(52,1),(58,1),(98,1),(102,1),(140,1)}
        77:{1,3,7}:{(50,1),(51,1),(66,1),(103,1)}
        78:{2,3,7}:{(50,1),(52,1),(59,1),(103,1)}
        79:{1,2,6}:{(51,1),(52,1),(102,1),(103,1)}
        80:{2,5,6}:{(53,1),(54,1),(104,1),(106,1)}
        81:{2,4,5,7}:{(53,1),(55,1),(94,1),(104,1),(105,1),(133,1)}
        82:{4,6}:{(54,1),(55,1)}
        83:{3,6}:{(56,1),(57,1),(106,1)}
        84:{2,5,7}:{(57,1),(58,1),(59,1),(106,1)}
        85:{1,5,6}:{(60,1),(61,1),(107,1),(109,1)}
        86:{1,4,5,7}:{(60,1),(62,1),(92,1),(107,1),(108,1),(130,1)}
        87:{4,6}:{(61,1),(62,1)}
        88:{3,6}:{(63,1),(64,1),(109,1)}
        89:{1,5,7}:{(64,1),(65,1),(66,1),(109,1)}
        90:{1,2,5,7}:{(67,1),(68,1),(69,1),(110,1),(111,1),(125,1),(127,1)}
        91:{1,3,5,6}:{(68,1),(70,1),(85,1),(110,1),(112,1),(121,1),(126,1),(145,1),(148,1),(152,1),(165,1),(168,1)}
        92:{1,4,7}:{(68,1),(71,1),(112,1),(113,1)}
        93:{2,3,5,6}:{(69,1),(70,1),(80,1),(110,1),(114,1),(122,1),(124,1),(145,1),(150,1),(153,1),(166,1),(168,1)}
        94:{2,4,7}:{(69,1),(71,1),(114,1),(115,1)}
        95:{4,6}:{(70,1),(71,1),(116,1)}
        96:{3,4,7}:{(71,1),(72,1),(74,1),(117,1),(118,1),(119,1),(155,1),(164,1)}
        97:{1,4}:{(72,1),(75,1)}
        98:{2,4}:{(72,1),(76,1)}
        99:{3,6}:{(73,1),(74,1)}
       100:{1,3,5,7}:{(74,1),(75,1),(77,1),(89,1),(118,1),(121,1),(123,1),(125,1),(146,1),(152,1),(155,1),(165,1),(168,1)}
       101:{2,3,5,7}:{(74,1),(76,1),(78,1),(84,1),(119,1),(122,1),(123,1),(127,1),(147,1),(153,1),(155,1),(166,1),(168,1)}
       102:{1,2,5}:{(75,1),(76,1),(79,1),(120,1)}
       103:{1,2,7}:{(77,1),(78,1),(79,1)}
       104:{2,4,6}:{(80,1),(81,1),(82,1),(124,1)}
       105:{3,5,7}:{(81,1),(115,1),(124,1),(125,1),(150,1)}
       106:{2,6}:{(83,1),(84,1)}
       107:{1,4,6}:{(85,1),(86,1),(87,1),(126,1)}
       108:{3,5,7}:{(86,1),(113,1),(126,1),(127,1),(148,1)}
       109:{1,6}:{(88,1),(89,1)}
       110:{1,2,5,6}:{(90,1),(91,1),(93,1),(128,1),(141,1),(142,1),(143,1),(160,1),(161,1),(162,1),(171,1)}
       111:{1,2,4,7}:{(90,1),(92,1),(94,1),(128,1),(129,1),(132,1),(135,1),(159,1)}
       112:{1,4,6}:{(91,1),(92,1),(95,1),(130,1),(131,1),(169,1),(172,1)}
       113:{3,4,7}:{(92,1),(108,1),(129,1),(131,1),(132,1)}
       114:{2,4,6}:{(93,1),(94,1),(95,1),(133,1),(134,1),(170,1),(172,1)}
       115:{3,4,7}:{(94,1),(105,1),(129,1),(134,1),(135,1)}
       116:{4,5}:{(95,1),(136,1),(172,1)}
       117:{3,4,6}:{(95,1),(96,1),(99,1),(136,1),(137,1),(138,1),(163,1),(172,1)}
       118:{1,4,7}:{(96,1),(97,1),(100,1),(137,1),(169,1),(172,1)}
       119:{2,4,7}:{(96,1),(98,1),(101,1),(138,1),(170,1),(172,1)}
       120:{1,2,4}:{(97,1),(98,1),(102,1),(140,1)}
       121:{1,3,6}:{(99,1),(100,1),(109,1),(137,1),(141,1),(142,1),(163,1)}
       122:{2,3,6}:{(99,1),(101,1),(106,1),(138,1),(141,1),(143,1),(163,1)}
       123:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(139,1),(141,1),(159,1),(162,1),(171,1)}
       124:{3,6}:{(104,1),(105,1),(142,1)}
       125:{1,5,7}:{(105,1),(135,1),(142,1),(161,1)}
       126:{3,6}:{(107,1),(108,1),(143,1)}
       127:{2,5,7}:{(108,1),(132,1),(143,1),(160,1)}
       128:{1,2,4,6}:{(110,1),(111,1),(112,1),(114,1),(144,1),(145,1),(149,1),(151,1),(167,1),(173,1)}
       129:{3,7}:{(111,1),(145,1)}
       130:{1,4,5}:{(112,1),(116,1),(148,1),(152,1)}
       131:{3,4,6}:{(112,1),(113,1),(126,1),(145,1),(148,1),(149,1),(164,1)}
       132:{2,4,7}:{(113,1),(127,1),(147,1),(149,1)}
       133:{2,4,5}:{(114,1),(116,1),(150,1),(153,1)}
       134:{3,4,6}:{(114,1),(115,1),(124,1),(145,1),(150,1),(151,1),(164,1)}
       135:{1,4,7}:{(115,1),(125,1),(146,1),(151,1)}
       136:{3,5}:{(116,1),(117,1),(152,1),(153,1)}
       137:{1,4,6}:{(117,1),(118,1),(121,1),(152,1)}
       138:{2,4,6}:{(117,1),(119,1),(122,1),(153,1)}
       139:{1,2,4,7}:{(118,1),(119,1),(120,1),(123,1),(154,1),(155,1),(173,1)}
       140:{3}:{(120,1)}
       141:{1,2,6}:{(121,1),(122,1),(123,1)}
       142:{1,6}:{(124,1),(125,1)}
       143:{2,6}:{(126,1),(127,1)}
       144:{1,2,4,5}:{(128,1),(130,1),(133,1),(156,1),(160,1),(161,1),(162,1),(169,1),(170,1),(171,1),(172,1)}
       145:{3,6}:{(128,1),(129,1),(156,1),(174,1)}
       146:{1,3,7}:{(129,1),(135,1),(157,1),(159,1)}
       147:{2,3,7}:{(129,1),(132,1),(158,1),(159,1)}
       148:{3,5}:{(130,1),(131,1),(160,1)}
       149:{2,4,6}:{(131,1),(132,1),(143,1),(158,1),(160,1),(170,1)}
       150:{3,5}:{(133,1),(134,1),(161,1)}
       151:{1,4,6}:{(134,1),(135,1),(142,1),(157,1),(161,1),(169,1)}
       152:{1,5}:{(136,1),(137,1)}
       153:{2,5}:{(136,1),(138,1)}
       154:{1,2,4,6}:{(137,1),(138,1),(139,1),(141,1),(162,1),(163,1),(172,1)}
       155:{3,7}:{(139,1),(140,1),(163,1),(174,1)}
       156:{3,5}:{(144,1),(145,1),(164,1)}
       157:{1,3,6}:{(145,1),(146,1),(151,1),(165,1),(167,1)}
       158:{2,3,6}:{(145,1),(147,1),(149,1),(166,1),(167,1)}
       159:{1,2,7}:{(146,1),(147,1),(167,1)}
       160:{2,5}:{(148,1),(149,1)}
       161:{1,5}:{(150,1),(151,1)}
       162:{1,2,5}:{(152,1),(153,1),(154,1),(168,1)}
       163:{3,6}:{(154,1),(155,1),(168,1)}
       164:{3,4}:{(156,1),(169,1),(170,1),(172,1),(174,1)}
       165:{1,3,5}:{(156,1),(157,1),(161,1),(169,1),(171,1),(174,1)}
       166:{2,3,5}:{(156,1),(158,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,2,6}:{(157,1),(158,1),(159,1),(171,1)}
       168:{3,5}:{(162,1),(163,1),(172,1)}
       169:{1,4}:{(164,1),(165,1)}
       170:{2,4}:{(164,1),(166,1)}
       171:{1,2,5}:{(165,1),(166,1),(167,1),(173,1)}
       172:{4}:{(168,1)}
       173:{1,2,4}:{(169,1),(170,1),(171,1),(174,1)}
       174:{3}:{(173,1)}

 286 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(15,1),(19,1),(37,1),(40,1),(82,1),(88,1)}
         1:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(21,1),(27,1),(62,1)}
         2:{2,3,5}:{(0,1),(5,1),(8,1),(25,1),(106,1),(116,1)}
         3:{2,3,4,7}:{(0,1),(6,1),(9,1),(30,1),(61,1),(65,1),(109,1),(205,1)}
         4:{1,3,6}:{(1,1),(10,1),(11,1),(40,1)}
         5:{1,2,5}:{(1,1),(2,1),(10,1),(89,1)}
         6:{1,2,4,7}:{(1,1),(3,1),(11,1),(14,1),(38,1),(208,1)}
         7:{2,3,5,6}:{(2,1),(12,1),(15,1),(16,1),(19,1),(40,1),(47,1),(54,1),(98,1)}
         8:{2,4,5}:{(2,1),(15,1),(17,1),(139,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(14,1),(18,1),(19,1),(45,1),(130,1),(199,1),(201,1)}
        10:{1,3,5}:{(4,1),(5,1),(21,1),(25,1)}
        11:{1,3,7}:{(4,1),(6,1),(65,1),(209,1)}
        12:{1,2,5,6}:{(5,1),(7,1),(20,1),(23,1),(24,1),(27,1),(72,1),(106,1),(151,1)}
        13:{1,2,4,5}:{(5,1),(8,1),(21,1),(23,1),(25,1),(32,1),(55,1),(60,1),(67,1),(106,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(9,1),(22,1),(27,1),(206,1),(207,1)}
        15:{2,4,6}:{(7,1),(8,1),(29,1),(30,1),(124,1)}
        16:{2,3,5,7}:{(7,1),(24,1),(30,1),(31,1),(65,1),(73,1),(77,1),(120,1)}
        17:{3,4,5}:{(8,1),(25,1),(29,1),(32,1)}
        18:{2,4,5,7}:{(8,1),(9,1),(30,1),(33,1),(34,1),(77,1),(187,1),(190,1)}
        19:{2,3,6}:{(9,1),(27,1),(34,1),(70,1),(151,1)}
        20:{1,3,5,6}:{(10,1),(12,1),(35,1),(36,1),(39,1),(40,1),(80,1),(89,1),(98,1),(131,1),(132,1)}
        21:{1,4}:{(10,1),(37,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(38,1),(39,1),(45,1),(89,1),(196,1),(198,1),(200,1)}
        23:{1,2,4,6}:{(12,1),(13,1),(15,1),(35,1),(40,1),(41,1),(49,1),(82,1),(90,1)}
        24:{1,2,5,7}:{(12,1),(16,1),(36,1),(41,1),(42,1),(99,1),(130,1)}
        25:{3,5}:{(13,1),(37,1),(40,1)}
        26:{1,2,4,5,7}:{(13,1),(14,1),(18,1),(38,1),(41,1),(45,1),(46,1),(52,1),(81,1),(87,1),(89,1),(94,1),(95,1),(130,1),(138,1),(139,1),(143,1),(170,1),(172,1),(175,1),(196,1)}
        27:{1,2,6}:{(14,1),(19,1),(39,1)}
        28:{2,4,5,6}:{(15,1),(47,1),(48,1),(54,1),(105,1)}
        29:{3,4,6}:{(15,1),(17,1),(40,1),(47,1),(49,1),(50,1)}
        30:{2,4,7}:{(15,1),(16,1),(50,1),(143,1)}
        31:{2,3,6,7}:{(16,1),(19,1),(42,1),(51,1),(93,1),(100,1),(201,1)}
        32:{1,4,5}:{(17,1),(43,1),(49,1)}
        33:{3,4,5,7}:{(17,1),(18,1),(45,1),(50,1),(52,1),(53,1),(103,1),(139,1),(143,1),(173,1),(176,1)}
        34:{2,4,6}:{(18,1),(19,1),(53,1),(54,1)}
        35:{1,4,6}:{(20,1),(21,1),(55,1),(56,1),(57,1),(124,1)}
        36:{1,3,5,7}:{(20,1),(24,1),(57,1),(58,1),(65,1),(107,1),(111,1),(120,1)}
        37:{3,4}:{(21,1),(25,1),(60,1)}
        38:{1,4,7}:{(21,1),(22,1),(61,1),(62,1),(204,1)}
        39:{1,3,6}:{(22,1),(27,1),(62,1),(70,1),(203,1)}
        40:{3,6}:{(23,1),(25,1),(65,1)}
        41:{1,2,4,7}:{(23,1),(24,1),(30,1),(57,1),(65,1),(75,1),(109,1),(117,1)}
        42:{1,2,6,7}:{(24,1),(27,1),(31,1),(58,1),(125,1),(151,1),(207,1)}
        43:{1,3,5}:{(25,1),(32,1),(59,1),(63,1),(67,1)}
        44:{2,3,5}:{(25,1),(60,1),(64,1),(67,1),(106,1),(112,1)}
        45:{3,5,7}:{(25,1),(26,1),(61,1),(65,1),(70,1),(116,1),(186,1),(189,1)}
        46:{1,2,4,6}:{(26,1),(27,1),(34,1),(62,1),(70,1),(71,1),(78,1),(108,1),(115,1),(121,1),(124,1),(151,1),(183,1),(203,1)}
        47:{3,5,6}:{(28,1),(29,1),(72,1),(73,1)}
        48:{2,4,5,7}:{(28,1),(30,1),(73,1),(74,1),(77,1),(128,1)}
        49:{1,4,6}:{(29,1),(32,1),(63,1),(72,1),(75,1)}
        50:{3,4,7}:{(29,1),(30,1),(65,1),(73,1),(75,1)}
        51:{2,4,6,7}:{(30,1),(31,1),(34,1),(76,1),(77,1),(190,1),(194,1)}
        52:{1,4,5,7}:{(32,1),(33,1),(68,1),(75,1),(78,1),(127,1),(157,1),(160,1)}
        53:{3,4,6}:{(33,1),(34,1),(70,1),(78,1),(79,1),(124,1)}
        54:{2,5,6}:{(34,1),(77,1),(79,1)}
        55:{1,4,5}:{(35,1),(80,1),(89,1),(139,1)}
        56:{3,4,6}:{(35,1),(37,1),(40,1),(80,1),(82,1),(83,1),(131,1)}
        57:{1,4,7}:{(35,1),(36,1),(83,1),(143,1)}
        58:{1,3,6,7}:{(36,1),(39,1),(42,1),(84,1),(93,1),(131,1),(200,1)}
        59:{1,3,4}:{(37,1),(43,1),(85,1)}
        60:{2,4}:{(37,1),(44,1)}
        61:{3,4,7}:{(37,1),(38,1),(45,1),(87,1),(88,1),(143,1),(197,1)}
        62:{1,4,6}:{(38,1),(39,1),(88,1),(89,1)}
        63:{1,3,6}:{(40,1),(43,1),(49,1),(90,1),(91,1)}
        64:{2,3,6}:{(40,1),(44,1),(82,1),(90,1),(92,1)}
        65:{3,7}:{(40,1),(41,1)}
        66:{1,2,4,6,7}:{(41,1),(42,1),(46,1),(51,1),(84,1),(93,1),(94,1),(102,1),(133,1),(140,1),(143,1),(175,1)}
        67:{1,2,5}:{(43,1),(44,1),(85,1),(90,1)}
        68:{1,3,5,7}:{(43,1),(45,1),(52,1),(86,1),(91,1),(95,1),(96,1),(137,1),(196,1)}
        69:{2,3,5,7}:{(44,1),(45,1),(87,1),(92,1),(95,1),(97,1),(130,1),(135,1),(138,1),(171,1)}
        70:{3,6}:{(45,1),(46,1)}
        71:{1,2,5,6}:{(46,1),(54,1),(89,1),(94,1),(98,1),(104,1),(132,1),(138,1),(168,1)}
        72:{1,5,6}:{(47,1),(49,1),(99,1)}
        73:{3,5,7}:{(47,1),(48,1),(50,1),(99,1),(100,1)}
        74:{2,4,6,7}:{(48,1),(100,1),(101,1),(148,1)}
        75:{1,4,7}:{(49,1),(50,1),(91,1),(99,1)}
        76:{3,4,6,7}:{(50,1),(51,1),(53,1),(93,1),(100,1),(102,1),(103,1),(143,1),(148,1),(176,1),(181,1)}
        77:{2,5,7}:{(51,1),(54,1),(103,1)}
        78:{1,4,6}:{(52,1),(53,1),(96,1),(104,1)}
        79:{3,5,6}:{(53,1),(54,1),(103,1),(104,1),(105,1)}
        80:{3,5}:{(55,1),(56,1),(106,1)}
        81:{1,4,5,7}:{(55,1),(57,1),(107,1),(108,1),(111,1),(154,1)}
        82:{2,4,6}:{(56,1),(60,1),(64,1),(106,1),(109,1),(151,1)}
        83:{3,4,7}:{(56,1),(57,1),(65,1),(107,1),(109,1)}
        84:{1,4,6,7}:{(57,1),(58,1),(62,1),(108,1),(110,1),(111,1),(191,1),(203,1)}
        85:{1,2,4}:{(59,1),(60,1),(67,1),(112,1)}
        86:{1,3,4,7}:{(59,1),(61,1),(68,1),(113,1),(114,1),(160,1),(189,1),(191,1)}
        87:{2,4,7}:{(60,1),(61,1),(69,1),(115,1),(185,1)}
        88:{3,4,6}:{(61,1),(62,1),(70,1),(115,1),(116,1),(124,1)}
        89:{1,5}:{(62,1),(116,1)}
        90:{1,2,6}:{(63,1),(64,1),(67,1),(117,1)}
        91:{1,3,7}:{(63,1),(65,1),(75,1),(117,1)}
        92:{2,3,7}:{(64,1),(65,1),(109,1),(117,1)}
        93:{3,6,7}:{(65,1),(66,1),(70,1),(120,1),(189,1)}
        94:{1,2,5,7}:{(66,1),(71,1),(77,1),(111,1),(120,1),(127,1),(153,1)}
        95:{1,2,5,7}:{(67,1),(68,1),(69,1),(113,1),(117,1),(121,1),(156,1)}
        96:{1,3,6}:{(68,1),(70,1),(78,1),(121,1),(203,1)}
        97:{2,3,6}:{(69,1),(70,1),(115,1),(121,1),(151,1)}
        98:{3,5,6}:{(70,1),(71,1),(116,1),(120,1),(124,1)}
        99:{1,5,7}:{(72,1),(73,1),(75,1),(125,1)}
       100:{3,6,7}:{(73,1),(74,1),(125,1)}
       101:{2,5,6,7}:{(74,1),(77,1),(126,1),(194,1)}
       102:{1,4,6,7}:{(75,1),(76,1),(78,1),(118,1),(125,1),(127,1),(160,1)}
       103:{3,5,7}:{(76,1),(77,1),(79,1),(127,1),(128,1)}
       104:{1,5,6}:{(78,1),(79,1),(127,1)}
       105:{4,5,6}:{(79,1),(124,1),(128,1)}
       106:{2,5}:{(80,1),(82,1)}
       107:{3,5,7}:{(80,1),(81,1),(83,1),(130,1),(131,1)}
       108:{1,4,6}:{(81,1),(131,1),(132,1),(169,1)}
       109:{2,4,7}:{(82,1),(83,1),(92,1),(130,1)}
       110:{3,4,6,7}:{(83,1),(84,1),(88,1),(93,1),(131,1),(133,1),(134,1),(143,1),(169,1),(177,1),(195,1)}
       111:{1,5,7}:{(84,1),(89,1),(132,1),(134,1)}
       112:{2,3}:{(85,1)}
       113:{1,2,4,7}:{(85,1),(86,1),(87,1),(95,1),(135,1),(136,1)}
       114:{1,3,4,6}:{(86,1),(88,1),(96,1),(136,1),(137,1),(145,1),(178,1),(180,1),(197,1)}
       115:{2,4,6}:{(87,1),(88,1),(97,1),(138,1)}
       116:{3,5}:{(88,1),(89,1),(138,1),(139,1)}
       117:{1,2,7}:{(90,1),(91,1),(92,1)}
       118:{1,3,6,7}:{(91,1),(93,1),(96,1),(102,1),(140,1),(141,1),(181,1)}
       119:{2,3,6,7}:{(92,1),(93,1),(97,1),(133,1),(140,1),(142,1),(195,1)}
       120:{3,5,7}:{(93,1),(94,1),(98,1),(143,1)}
       121:{1,2,6}:{(95,1),(96,1),(97,1)}
       122:{1,3,5,6}:{(96,1),(98,1),(104,1),(137,1),(141,1),(144,1),(145,1),(150,1),(178,1)}
       123:{2,3,5,6}:{(97,1),(98,1),(138,1),(142,1),(144,1),(146,1),(168,1),(171,1),(174,1),(178,1),(195,1)}
       124:{4,6}:{(98,1),(139,1),(143,1)}
       125:{1,6,7}:{(99,1),(100,1)}
       126:{3,5,6,7}:{(100,1),(101,1),(103,1),(147,1),(148,1),(181,1)}
       127:{1,5,7}:{(102,1),(103,1),(104,1)}
       128:{4,5,7}:{(103,1),(105,1),(143,1),(148,1)}
       129:{1,4,5,6}:{(104,1),(105,1),(145,1),(149,1),(150,1)}
       130:{2,5,7}:{(106,1),(107,1),(109,1),(151,1)}
       131:{3,6}:{(107,1),(108,1),(151,1)}
       132:{1,5,6}:{(108,1),(111,1),(152,1),(203,1)}
       133:{2,4,6,7}:{(109,1),(110,1),(115,1),(119,1),(151,1),(153,1),(161,1),(183,1)}
       134:{3,5,7}:{(110,1),(111,1),(116,1),(152,1),(153,1),(154,1)}
       135:{2,3,7}:{(112,1),(113,1),(155,1),(189,1)}
       136:{1,2,4,6}:{(113,1),(114,1),(115,1),(121,1),(155,1),(156,1),(185,1)}
       137:{1,3,5}:{(114,1),(116,1),(156,1),(157,1),(186,1),(188,1)}
       138:{2,5}:{(115,1),(116,1)}
       139:{4,5}:{(116,1),(124,1)}
       140:{1,2,6,7}:{(117,1),(118,1),(119,1),(121,1),(159,1),(194,1),(203,1)}
       141:{1,3,5,7}:{(118,1),(120,1),(122,1),(127,1),(159,1),(160,1),(166,1),(189,1)}
       142:{2,3,5,7}:{(119,1),(120,1),(123,1),(153,1),(159,1),(161,1),(184,1),(189,1)}
       143:{4,7}:{(120,1),(124,1)}
       144:{1,2,5,6}:{(121,1),(122,1),(123,1),(156,1),(159,1),(162,1),(167,1),(188,1),(203,1)}
       145:{1,4,6}:{(122,1),(124,1),(157,1),(160,1),(163,1)}
       146:{2,4,6}:{(123,1),(124,1),(158,1),(161,1),(164,1),(185,1)}
       147:{1,5,6,7}:{(125,1),(126,1),(127,1),(165,1)}
       148:{4,6,7}:{(126,1),(128,1)}
       149:{1,4,5,7}:{(127,1),(128,1),(129,1),(160,1),(165,1),(166,1)}
       150:{3,5,6}:{(129,1),(163,1),(166,1),(167,1)}
       151:{2,6}:{(130,1),(131,1)}
       152:{3,5,6}:{(131,1),(132,1),(134,1),(168,1),(169,1),(195,1)}
       153:{2,5,7}:{(133,1),(134,1),(138,1),(168,1)}
       154:{4,5,7}:{(134,1),(139,1),(143,1),(169,1)}
       155:{2,3,6}:{(135,1),(136,1),(171,1),(178,1)}
       156:{1,2,5}:{(136,1),(137,1),(138,1),(171,1)}
       157:{1,4,5}:{(137,1),(139,1),(145,1),(173,1)}
       158:{2,4,5}:{(138,1),(139,1),(146,1),(174,1)}
       159:{1,2,5,7}:{(140,1),(141,1),(142,1),(144,1),(175,1),(182,1),(196,1)}
       160:{1,4,7}:{(141,1),(143,1),(145,1),(176,1)}
       161:{2,4,7}:{(142,1),(143,1),(146,1),(177,1)}
       162:{1,2,4,6}:{(144,1),(145,1),(146,1),(172,1),(175,1),(178,1),(179,1),(180,1),(202,1)}
       163:{3,4,6}:{(145,1),(150,1),(173,1),(176,1),(178,1),(179,1)}
       164:{3,4,6}:{(146,1),(174,1),(177,1),(178,1),(180,1),(195,1),(197,1)}
       165:{1,4,6,7}:{(147,1),(148,1),(149,1),(181,1)}
       166:{3,5,7}:{(149,1),(150,1),(176,1),(181,1),(182,1)}
       167:{2,5,6}:{(150,1),(179,1),(182,1)}
       168:{2,5,6}:{(151,1),(152,1),(153,1),(183,1)}
       169:{4,6}:{(152,1),(154,1)}
       170:{2,4,5,7}:{(153,1),(154,1),(158,1),(161,1),(183,1),(184,1)}
       171:{2,3,5}:{(155,1),(156,1),(185,1),(186,1)}
       172:{1,2,4,5}:{(156,1),(157,1),(158,1),(162,1),(185,1),(186,1),(187,1),(188,1),(204,1),(206,1)}
       173:{3,4,5}:{(157,1),(163,1),(186,1),(187,1)}
       174:{3,5}:{(158,1),(164,1),(188,1)}
       175:{1,2,4,7}:{(159,1),(160,1),(161,1),(162,1),(189,1),(190,1),(191,1),(207,1)}
       176:{3,4,7}:{(160,1),(163,1),(166,1),(189,1),(190,1)}
       177:{3,4,7}:{(161,1),(164,1),(184,1),(189,1),(191,1)}
       178:{3,6}:{(162,1),(186,1),(189,1)}
       179:{2,4,6}:{(163,1),(167,1),(187,1),(190,1),(193,1)}
       180:{1,4,6}:{(164,1),(188,1),(191,1),(192,1),(203,1),(204,1)}
       181:{3,6,7}:{(165,1),(166,1),(194,1)}
       182:{2,5,7}:{(166,1),(167,1),(190,1),(194,1)}
       183:{2,4,6}:{(168,1),(169,1),(170,1),(195,1)}
       184:{3,5,7}:{(170,1),(174,1),(177,1),(195,1),(196,1)}
       185:{2,4}:{(171,1),(197,1)}
       186:{3,5}:{(172,1),(178,1),(197,1)}
       187:{2,4,5}:{(173,1),(179,1),(199,1)}
       188:{1,5}:{(174,1),(180,1)}
       189:{3,7}:{(175,1),(178,1)}
       190:{2,4,7}:{(176,1),(179,1),(182,1),(201,1)}
       191:{1,4,7}:{(177,1),(180,1),(196,1),(200,1)}
       192:{1,3,6}:{(178,1),(180,1),(198,1),(200,1),(202,1)}
       193:{2,3,6}:{(178,1),(179,1),(199,1),(201,1),(202,1)}
       194:{2,6,7}:{(181,1),(182,1)}
       195:{3,6}:{(183,1),(184,1),(203,1)}
       196:{1,5,7}:{(184,1),(188,1),(191,1),(203,1)}
       197:{3,4}:{(185,1),(186,1),(204,1)}
       198:{1,3,5}:{(186,1),(188,1),(192,1),(204,1),(206,1),(209,1)}
       199:{2,3,5}:{(186,1),(187,1),(193,1),(205,1),(206,1)}
       200:{1,3,7}:{(189,1),(191,1),(192,1),(207,1)}
       201:{2,3,7}:{(189,1),(190,1),(193,1),(207,1)}
       202:{1,2,6}:{(192,1),(193,1),(206,1),(207,1)}
       203:{1,6}:{(195,1),(196,1)}
       204:{1,4}:{(197,1),(198,1)}
       205:{2,3,4}:{(197,1),(199,1),(208,1)}
       206:{1,2,5}:{(198,1),(199,1),(202,1),(208,1)}
       207:{1,2,7}:{(200,1),(201,1),(202,1)}
       208:{1,2,4}:{(204,1),(205,1),(206,1),(209,1)}
       209:{1,3}:{(208,1)}

 287 :   0:{2,3,4,7}:{(1,1),(2,1),(3,1),(35,1),(53,1),(101,1),(152,1),(204,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(6,1),(20,1),(208,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(9,1),(23,1),(173,1),(197,1),(201,1)}
         3:{2,3,4,6}:{(0,1),(6,1),(8,1),(9,1),(33,1),(58,1),(63,1),(71,1),(124,1)}
         4:{1,3,7}:{(1,1),(11,1),(101,1),(209,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(205,1),(207,1)}
         6:{1,2,4,6}:{(1,1),(3,1),(11,1),(13,1),(14,1),(36,1),(39,1)}
         7:{2,4,5,7}:{(2,1),(15,1),(16,1),(19,1),(51,1),(53,1),(184,1),(192,1)}
         8:{2,3,6}:{(2,1),(13,1),(16,1),(42,1),(188,1)}
         9:{2,3,5}:{(3,1),(14,1),(19,1),(47,1),(87,1),(151,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(20,1),(21,1),(22,1),(23,1),(60,1),(196,1),(199,1),(200,1)}
        11:{1,3,6}:{(4,1),(6,1),(22,1),(71,1)}
        12:{1,2,4,5,7}:{(5,1),(7,1),(20,1),(23,1),(24,1),(27,1),(28,1),(57,1),(60,1),(64,1),(69,1),(70,1),(117,1),(119,1),(121,1),(132,1),(166,1),(169,1),(173,1),(174,1),(199,1)}
        13:{1,2,6}:{(5,1),(8,1),(21,1)}
        14:{1,2,5}:{(6,1),(9,1),(22,1),(60,1)}
        15:{3,4,5,7}:{(7,1),(23,1),(28,1),(29,1),(34,1),(76,1),(81,1),(119,1),(132,1),(167,1),(176,1)}
        16:{2,4,6}:{(7,1),(8,1),(29,1),(31,1)}
        17:{2,3,6,7}:{(8,1),(25,1),(30,1),(32,1),(67,1),(140,1),(201,1)}
        18:{2,3,5,6}:{(8,1),(9,1),(26,1),(31,1),(32,1),(33,1),(68,1),(71,1),(80,1)}
        19:{2,4,5}:{(9,1),(33,1),(34,1),(119,1)}
        20:{1,4,7}:{(10,1),(35,1),(36,1),(39,1),(203,1)}
        21:{1,3,6}:{(10,1),(13,1),(36,1),(42,1),(206,1)}
        22:{1,3,5}:{(11,1),(14,1),(39,1),(47,1)}
        23:{3,5,7}:{(12,1),(35,1),(42,1),(47,1),(87,1),(101,1),(183,1),(189,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(16,1),(36,1),(42,1),(44,1),(48,1),(85,1),(94,1),(100,1),(149,1),(185,1),(188,1),(206,1)}
        25:{1,2,6,7}:{(13,1),(17,1),(37,1),(45,1),(164,1),(188,1),(207,1)}
        26:{1,2,5,6}:{(13,1),(14,1),(18,1),(38,1),(45,1),(46,1),(111,1),(151,1),(188,1)}
        27:{1,2,4,5}:{(14,1),(19,1),(39,1),(46,1),(47,1),(55,1),(89,1),(93,1),(104,1),(151,1)}
        28:{1,4,5,7}:{(15,1),(40,1),(48,1),(55,1),(105,1),(112,1),(144,1),(156,1)}
        29:{3,4,6}:{(15,1),(16,1),(42,1),(48,1),(50,1),(100,1)}
        30:{2,4,6,7}:{(16,1),(17,1),(49,1),(51,1),(53,1),(192,1),(194,1)}
        31:{2,5,6}:{(16,1),(50,1),(51,1)}
        32:{2,3,5,7}:{(17,1),(18,1),(45,1),(51,1),(53,1),(99,1),(101,1),(110,1)}
        33:{2,4,6}:{(18,1),(19,1),(53,1),(54,1),(100,1)}
        34:{3,4,5}:{(19,1),(47,1),(54,1),(55,1)}
        35:{3,4,7}:{(20,1),(23,1),(57,1),(58,1),(63,1),(132,1),(195,1)}
        36:{1,4,6}:{(20,1),(21,1),(58,1),(60,1)}
        37:{1,3,6,7}:{(21,1),(25,1),(59,1),(61,1),(67,1),(172,1),(200,1)}
        38:{1,3,5,6}:{(21,1),(22,1),(26,1),(60,1),(61,1),(62,1),(68,1),(71,1),(120,1),(122,1),(172,1)}
        39:{1,4}:{(22,1),(63,1)}
        40:{1,3,5,7}:{(23,1),(28,1),(56,1),(64,1),(65,1),(72,1),(115,1),(133,1),(199,1)}
        41:{2,3,5,7}:{(23,1),(57,1),(64,1),(66,1),(73,1),(113,1),(117,1),(134,1),(165,1),(173,1)}
        42:{3,6}:{(23,1),(24,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(30,1),(59,1),(67,1),(69,1),(70,1),(74,1),(116,1),(126,1),(132,1),(174,1)}
        44:{1,2,5,6}:{(24,1),(31,1),(60,1),(68,1),(69,1),(75,1),(117,1),(120,1),(168,1)}
        45:{1,2,5,7}:{(25,1),(26,1),(32,1),(61,1),(70,1),(141,1),(173,1)}
        46:{1,2,4,6}:{(26,1),(27,1),(33,1),(62,1),(70,1),(71,1),(82,1),(124,1),(135,1)}
        47:{3,5}:{(27,1),(63,1),(71,1)}
        48:{1,4,6}:{(28,1),(29,1),(65,1),(75,1)}
        49:{3,4,6,7}:{(29,1),(30,1),(67,1),(74,1),(76,1),(81,1),(132,1),(139,1),(140,1),(176,1),(180,1)}
        50:{3,5,6}:{(29,1),(31,1),(75,1),(76,1),(77,1)}
        51:{2,5,7}:{(30,1),(31,1),(76,1)}
        52:{2,4,5,6}:{(31,1),(33,1),(77,1),(79,1),(80,1)}
        53:{2,4,7}:{(32,1),(33,1),(81,1),(132,1)}
        54:{3,4,6}:{(33,1),(34,1),(71,1),(80,1),(81,1),(82,1)}
        55:{1,4,5}:{(34,1),(72,1),(82,1)}
        56:{1,3,4,7}:{(35,1),(40,1),(83,1),(84,1),(92,1),(156,1),(189,1),(193,1)}
        57:{2,4,7}:{(35,1),(41,1),(85,1),(93,1),(182,1)}
        58:{3,4,6}:{(35,1),(36,1),(42,1),(85,1),(87,1),(100,1)}
        59:{1,4,6,7}:{(36,1),(37,1),(86,1),(88,1),(90,1),(149,1),(193,1),(206,1)}
        60:{1,5}:{(36,1),(87,1)}
        61:{1,3,5,7}:{(37,1),(38,1),(45,1),(88,1),(90,1),(99,1),(101,1),(150,1)}
        62:{1,4,6}:{(38,1),(39,1),(89,1),(90,1),(91,1),(100,1)}
        63:{3,4}:{(39,1),(47,1),(93,1)}
        64:{1,2,5,7}:{(40,1),(41,1),(83,1),(94,1),(104,1),(143,1),(160,1)}
        65:{1,3,6}:{(40,1),(42,1),(48,1),(94,1),(206,1)}
        66:{2,3,6}:{(41,1),(42,1),(85,1),(94,1),(188,1)}
        67:{3,6,7}:{(42,1),(43,1),(99,1),(101,1),(189,1)}
        68:{3,5,6}:{(42,1),(44,1),(87,1),(99,1),(100,1)}
        69:{1,2,5,7}:{(43,1),(44,1),(51,1),(88,1),(99,1),(105,1),(145,1)}
        70:{1,2,4,7}:{(45,1),(46,1),(53,1),(90,1),(101,1),(112,1),(152,1),(160,1)}
        71:{3,6}:{(46,1),(47,1),(101,1)}
        72:{1,3,5}:{(47,1),(55,1),(92,1),(102,1),(104,1)}
        73:{2,3,5}:{(47,1),(93,1),(103,1),(104,1),(151,1),(153,1)}
        74:{1,4,6,7}:{(48,1),(49,1),(95,1),(105,1),(112,1),(156,1),(164,1)}
        75:{1,5,6}:{(48,1),(50,1),(105,1)}
        76:{3,5,7}:{(49,1),(50,1),(51,1),(105,1),(108,1)}
        77:{4,5,6}:{(50,1),(100,1),(108,1)}
        78:{2,5,6,7}:{(51,1),(107,1),(109,1),(194,1)}
        79:{2,4,5,7}:{(51,1),(52,1),(53,1),(108,1),(109,1),(110,1)}
        80:{3,5,6}:{(52,1),(54,1),(110,1),(111,1)}
        81:{3,4,7}:{(53,1),(54,1),(101,1),(110,1),(112,1)}
        82:{1,4,6}:{(54,1),(55,1),(102,1),(111,1),(112,1)}
        83:{1,2,4,7}:{(56,1),(57,1),(64,1),(113,1),(114,1),(125,1)}
        84:{1,3,4,6}:{(56,1),(58,1),(65,1),(114,1),(115,1),(129,1),(175,1),(179,1),(195,1)}
        85:{2,4,6}:{(57,1),(58,1),(66,1),(117,1)}
        86:{3,4,6,7}:{(58,1),(59,1),(67,1),(116,1),(118,1),(123,1),(132,1),(171,1),(172,1),(178,1),(198,1)}
        87:{3,5}:{(58,1),(60,1),(117,1),(119,1)}
        88:{1,5,7}:{(59,1),(60,1),(118,1),(120,1)}
        89:{1,4,5}:{(60,1),(62,1),(119,1),(122,1)}
        90:{1,4,7}:{(61,1),(62,1),(123,1),(132,1)}
        91:{3,4,6}:{(62,1),(63,1),(71,1),(122,1),(123,1),(124,1),(172,1)}
        92:{1,3,4}:{(63,1),(72,1),(125,1)}
        93:{2,4}:{(63,1),(73,1)}
        94:{1,2,6}:{(64,1),(65,1),(66,1)}
        95:{1,3,6,7}:{(65,1),(67,1),(74,1),(126,1),(128,1),(133,1),(180,1)}
        96:{1,3,5,6}:{(65,1),(68,1),(75,1),(115,1),(127,1),(128,1),(129,1),(138,1),(175,1)}
        97:{2,3,6,7}:{(66,1),(67,1),(116,1),(126,1),(130,1),(134,1),(198,1)}
        98:{2,3,5,6}:{(66,1),(68,1),(117,1),(127,1),(130,1),(131,1),(165,1),(168,1),(170,1),(175,1),(198,1)}
        99:{3,5,7}:{(67,1),(68,1),(69,1),(132,1)}
       100:{4,6}:{(68,1),(119,1),(132,1)}
       101:{3,7}:{(70,1),(71,1)}
       102:{1,3,6}:{(71,1),(72,1),(82,1),(133,1),(135,1)}
       103:{2,3,6}:{(71,1),(73,1),(124,1),(134,1),(135,1)}
       104:{1,2,5}:{(72,1),(73,1),(125,1),(135,1)}
       105:{1,5,7}:{(74,1),(75,1),(76,1)}
       106:{1,4,5,6}:{(75,1),(77,1),(129,1),(137,1),(138,1)}
       107:{3,5,6,7}:{(76,1),(78,1),(136,1),(139,1),(140,1),(180,1)}
       108:{4,5,7}:{(76,1),(77,1),(132,1),(139,1)}
       109:{2,4,6,7}:{(78,1),(79,1),(139,1),(140,1)}
       110:{3,5,7}:{(79,1),(80,1),(81,1),(140,1),(141,1)}
       111:{1,5,6}:{(80,1),(82,1),(141,1)}
       112:{1,4,7}:{(81,1),(82,1),(133,1),(141,1)}
       113:{2,3,7}:{(83,1),(142,1),(153,1),(189,1)}
       114:{1,2,4,6}:{(83,1),(84,1),(85,1),(94,1),(142,1),(143,1),(182,1)}
       115:{1,3,5}:{(84,1),(87,1),(143,1),(144,1),(183,1),(187,1)}
       116:{2,4,6,7}:{(85,1),(86,1),(97,1),(145,1),(152,1),(158,1),(185,1),(188,1)}
       117:{2,5}:{(85,1),(87,1)}
       118:{3,5,7}:{(86,1),(87,1),(88,1),(145,1),(147,1),(148,1)}
       119:{4,5}:{(87,1),(100,1)}
       120:{1,5,6}:{(88,1),(147,1),(149,1),(206,1)}
       121:{1,4,5,7}:{(88,1),(89,1),(90,1),(148,1),(149,1),(150,1)}
       122:{3,5}:{(89,1),(91,1),(151,1)}
       123:{3,4,7}:{(90,1),(91,1),(101,1),(150,1),(152,1)}
       124:{2,4,6}:{(91,1),(93,1),(103,1),(151,1),(152,1),(188,1)}
       125:{1,2,4}:{(92,1),(93,1),(104,1),(153,1)}
       126:{1,2,6,7}:{(94,1),(95,1),(97,1),(154,1),(160,1),(194,1),(206,1)}
       127:{1,2,5,6}:{(94,1),(96,1),(98,1),(143,1),(154,1),(155,1),(163,1),(187,1),(206,1)}
       128:{1,3,5,7}:{(95,1),(96,1),(99,1),(105,1),(154,1),(156,1),(162,1),(189,1)}
       129:{1,4,6}:{(96,1),(100,1),(144,1),(156,1),(157,1)}
       130:{2,3,5,7}:{(97,1),(98,1),(99,1),(145,1),(154,1),(158,1),(186,1),(189,1)}
       131:{2,4,6}:{(98,1),(100,1),(146,1),(158,1),(159,1),(182,1)}
       132:{4,7}:{(99,1),(100,1)}
       133:{1,3,7}:{(101,1),(102,1),(112,1),(160,1)}
       134:{2,3,7}:{(101,1),(103,1),(152,1),(160,1)}
       135:{1,2,6}:{(102,1),(103,1),(104,1),(160,1)}
       136:{1,5,6,7}:{(105,1),(107,1),(161,1),(164,1)}
       137:{1,4,5,7}:{(105,1),(106,1),(108,1),(156,1),(161,1),(162,1)}
       138:{3,5,6}:{(106,1),(157,1),(162,1),(163,1)}
       139:{4,6,7}:{(107,1),(108,1)}
       140:{3,6,7}:{(109,1),(110,1),(164,1)}
       141:{1,5,7}:{(110,1),(111,1),(112,1),(164,1)}
       142:{2,3,6}:{(113,1),(114,1),(165,1),(175,1)}
       143:{1,2,5}:{(114,1),(115,1),(117,1),(165,1)}
       144:{1,4,5}:{(115,1),(119,1),(129,1),(167,1)}
       145:{2,5,7}:{(116,1),(117,1),(118,1),(168,1)}
       146:{2,4,5}:{(117,1),(119,1),(131,1),(170,1)}
       147:{3,5,6}:{(118,1),(120,1),(168,1),(171,1),(172,1),(198,1)}
       148:{4,5,7}:{(118,1),(119,1),(132,1),(171,1)}
       149:{1,4,6}:{(120,1),(121,1),(171,1),(172,1)}
       150:{3,5,7}:{(121,1),(122,1),(123,1),(172,1),(173,1)}
       151:{2,5}:{(122,1),(124,1)}
       152:{2,4,7}:{(123,1),(124,1),(134,1),(173,1)}
       153:{2,3}:{(125,1)}
       154:{1,2,5,7}:{(126,1),(127,1),(128,1),(130,1),(174,1),(181,1),(199,1)}
       155:{1,2,4,6}:{(127,1),(129,1),(131,1),(166,1),(174,1),(175,1),(177,1),(179,1),(202,1)}
       156:{1,4,7}:{(128,1),(129,1),(132,1),(176,1)}
       157:{3,4,6}:{(129,1),(138,1),(167,1),(175,1),(176,1),(177,1)}
       158:{2,4,7}:{(130,1),(131,1),(132,1),(178,1)}
       159:{3,4,6}:{(131,1),(170,1),(175,1),(178,1),(179,1),(195,1),(198,1)}
       160:{1,2,7}:{(133,1),(134,1),(135,1)}
       161:{1,4,6,7}:{(136,1),(137,1),(139,1),(180,1)}
       162:{3,5,7}:{(137,1),(138,1),(176,1),(180,1),(181,1)}
       163:{2,5,6}:{(138,1),(177,1),(181,1)}
       164:{1,6,7}:{(140,1),(141,1)}
       165:{2,3,5}:{(142,1),(143,1),(182,1),(183,1)}
       166:{1,2,4,5}:{(143,1),(144,1),(146,1),(155,1),(182,1),(183,1),(184,1),(187,1),(203,1),(205,1)}
       167:{3,4,5}:{(144,1),(157,1),(183,1),(184,1)}
       168:{2,5,6}:{(145,1),(147,1),(185,1),(188,1)}
       169:{2,4,5,7}:{(145,1),(146,1),(148,1),(158,1),(185,1),(186,1)}
       170:{3,5}:{(146,1),(159,1),(187,1)}
       171:{4,6}:{(147,1),(148,1)}
       172:{3,6}:{(149,1),(150,1),(188,1)}
       173:{2,5,7}:{(150,1),(151,1),(152,1),(188,1)}
       174:{1,2,4,7}:{(154,1),(155,1),(156,1),(158,1),(189,1),(192,1),(193,1),(207,1)}
       175:{3,6}:{(155,1),(183,1),(189,1)}
       176:{3,4,7}:{(156,1),(157,1),(162,1),(189,1),(192,1)}
       177:{2,4,6}:{(157,1),(163,1),(184,1),(191,1),(192,1)}
       178:{3,4,7}:{(158,1),(159,1),(186,1),(189,1),(193,1)}
       179:{1,4,6}:{(159,1),(187,1),(190,1),(193,1),(203,1),(206,1)}
       180:{3,6,7}:{(161,1),(162,1),(194,1)}
       181:{2,5,7}:{(162,1),(163,1),(192,1),(194,1)}
       182:{2,4}:{(165,1),(195,1)}
       183:{3,5}:{(166,1),(175,1),(195,1)}
       184:{2,4,5}:{(167,1),(177,1),(197,1)}
       185:{2,4,6}:{(168,1),(169,1),(171,1),(198,1)}
       186:{3,5,7}:{(169,1),(170,1),(178,1),(198,1),(199,1)}
       187:{1,5}:{(170,1),(179,1)}
       188:{2,6}:{(172,1),(173,1)}
       189:{3,7}:{(174,1),(175,1)}
       190:{1,3,6}:{(175,1),(179,1),(196,1),(200,1),(202,1)}
       191:{2,3,6}:{(175,1),(177,1),(197,1),(201,1),(202,1)}
       192:{2,4,7}:{(176,1),(177,1),(181,1),(201,1)}
       193:{1,4,7}:{(178,1),(179,1),(199,1),(200,1)}
       194:{2,6,7}:{(180,1),(181,1)}
       195:{3,4}:{(182,1),(183,1),(203,1)}
       196:{1,3,5}:{(183,1),(187,1),(190,1),(203,1),(205,1),(209,1)}
       197:{2,3,5}:{(183,1),(184,1),(191,1),(204,1),(205,1)}
       198:{3,6}:{(185,1),(186,1),(206,1)}
       199:{1,5,7}:{(186,1),(187,1),(193,1),(206,1)}
       200:{1,3,7}:{(189,1),(190,1),(193,1),(207,1)}
       201:{2,3,7}:{(189,1),(191,1),(192,1),(207,1)}
       202:{1,2,6}:{(190,1),(191,1),(205,1),(207,1)}
       203:{1,4}:{(195,1),(196,1)}
       204:{2,3,4}:{(195,1),(197,1),(208,1)}
       205:{1,2,5}:{(196,1),(197,1),(202,1),(208,1)}
       206:{1,6}:{(198,1),(199,1)}
       207:{1,2,7}:{(200,1),(201,1),(202,1)}
       208:{1,2,4}:{(203,1),(204,1),(205,1),(209,1)}
       209:{1,3}:{(208,1)}

 288 :  0:{2,3,4}:{(2,1),(3,1),(37,1)}
        1:{3,4,5}:{(4,1),(5,1),(6,1),(22,1),(71,1)}
        2:{2,3,5}:{(0,1),(5,1),(7,1),(8,1),(22,1)}
        3:{1,2,4}:{(0,1),(7,1),(9,1),(30,1)}
        4:{1,4,5}:{(1,1),(10,1),(12,1)}
        5:{2,4,5}:{(1,1),(2,1),(13,1)}
        6:{3,4,6}:{(1,1),(12,1),(13,1),(14,1),(15,1),(38,1),(64,1)}
        7:{1,2,5}:{(2,1),(3,1),(16,1),(17,1)}
        8:{2,3,6}:{(2,1),(13,1),(17,1),(18,1),(38,1)}
        9:{1,3}:{(3,1)}
       10:{1,3,5}:{(4,1),(19,1),(20,1),(21,1),(22,1)}
       11:{1,2,4,5}:{(4,1),(5,1),(7,1),(20,1),(22,1),(23,1),(30,1),(48,1),(58,1),(69,1),(71,1)}
       12:{1,4,6}:{(4,1),(6,1),(21,1),(24,1),(25,1)}
       13:{2,4,6}:{(5,1),(6,1),(8,1),(26,1),(27,1)}
       14:{3,5,6}:{(6,1),(24,1),(26,1),(28,1),(29,1)}
       15:{3,4,7}:{(6,1),(25,1),(27,1),(29,1),(53,1),(73,1)}
       16:{1,3,5}:{(7,1),(9,1),(22,1),(30,1),(31,1),(58,1)}
       17:{1,2,6}:{(7,1),(8,1),(31,1),(32,1)}
       18:{2,3,7}:{(8,1),(27,1),(32,1),(53,1)}
       19:{1,3,4}:{(10,1),(33,1),(37,1)}
       20:{1,2,5}:{(10,1),(33,1),(34,1),(35,1)}
       21:{1,3,6}:{(10,1),(12,1),(35,1),(36,1),(38,1)}
       22:{3,5}:{(11,1),(37,1),(38,1)}
       23:{1,2,4,6}:{(11,1),(12,1),(13,1),(17,1),(35,1),(38,1),(39,1),(40,1),(45,1),(60,1),(64,1)}
       24:{1,5,6}:{(12,1),(14,1),(41,1)}
       25:{1,4,7}:{(12,1),(15,1),(36,1),(41,1)}
       26:{2,5,6}:{(13,1),(14,1),(42,1)}
       27:{2,4,7}:{(13,1),(15,1),(18,1),(42,1)}
       28:{4,5,6}:{(14,1),(43,1),(64,1),(83,1)}
       29:{3,5,7}:{(14,1),(15,1),(41,1),(42,1),(43,1),(44,1)}
       30:{1,4}:{(16,1),(37,1)}
       31:{1,3,6}:{(16,1),(17,1),(38,1),(45,1),(46,1)}
       32:{1,2,7}:{(17,1),(18,1),(46,1)}
       33:{1,2,4}:{(19,1),(20,1),(47,1),(48,1)}
       34:{2,3,5}:{(20,1),(22,1),(47,1),(48,1),(49,1),(69,1)}
       35:{1,2,6}:{(20,1),(21,1),(49,1),(50,1)}
       36:{1,3,7}:{(21,1),(25,1),(50,1),(53,1)}
       37:{3,4}:{(22,1),(30,1),(48,1)}
       38:{3,6}:{(22,1),(23,1),(53,1)}
       39:{1,2,5,6}:{(23,1),(24,1),(26,1),(52,1),(54,1),(58,1),(69,1),(75,1),(80,1)}
       40:{1,2,4,7}:{(23,1),(25,1),(27,1),(32,1),(50,1),(53,1),(54,1),(59,1),(70,1),(73,1)}
       41:{1,5,7}:{(24,1),(25,1),(29,1),(55,1)}
       42:{2,5,7}:{(26,1),(27,1),(29,1),(56,1)}
       43:{4,5,7}:{(28,1),(29,1),(57,1),(73,1),(82,1)}
       44:{3,6,7}:{(29,1),(55,1),(56,1),(57,1)}
       45:{1,4,6}:{(30,1),(31,1),(51,1),(58,1),(59,1),(75,1)}
       46:{1,3,7}:{(31,1),(32,1),(53,1),(59,1)}
       47:{2,3}:{(33,1)}
       48:{2,4}:{(34,1),(37,1)}
       49:{2,3,6}:{(34,1),(35,1),(38,1),(60,1),(61,1)}
       50:{1,2,7}:{(35,1),(36,1),(61,1)}
       51:{3,4,6}:{(37,1),(38,1),(45,1),(60,1),(62,1),(63,1),(64,1),(78,1)}
       52:{3,5,6}:{(38,1),(39,1),(62,1),(64,1),(65,1),(78,1),(83,1)}
       53:{3,7}:{(38,1),(40,1)}
       54:{1,2,5,7}:{(39,1),(40,1),(41,1),(42,1),(65,1),(66,1),(68,1),(76,1)}
       55:{1,6,7}:{(41,1),(44,1)}
       56:{2,6,7}:{(42,1),(44,1)}
       57:{4,6,7}:{(43,1),(44,1),(67,1)}
       58:{1,5}:{(45,1),(62,1)}
       59:{1,4,7}:{(45,1),(46,1),(63,1),(68,1)}
       60:{2,4,6}:{(48,1),(49,1),(51,1),(69,1),(70,1),(80,1)}
       61:{2,3,7}:{(49,1),(50,1),(53,1),(70,1)}
       62:{3,5}:{(51,1),(58,1),(69,1),(71,1)}
       63:{3,4,7}:{(51,1),(53,1),(59,1),(70,1),(72,1),(73,1)}
       64:{4,6}:{(52,1),(71,1),(73,1)}
       65:{3,5,7}:{(52,1),(53,1),(54,1),(73,1),(74,1),(82,1)}
       66:{1,2,6,7}:{(54,1),(55,1),(56,1),(74,1),(75,1),(80,1)}
       67:{5,6,7}:{(57,1),(82,1)}
       68:{1,5,7}:{(58,1),(59,1),(72,1),(75,1)}
       69:{2,5}:{(60,1),(62,1)}
       70:{2,4,7}:{(60,1),(61,1),(63,1),(76,1)}
       71:{4,5}:{(62,1),(64,1)}
       72:{3,5,7}:{(62,1),(63,1),(68,1),(76,1),(77,1),(78,1)}
       73:{4,7}:{(64,1),(65,1)}
       74:{3,6,7}:{(65,1),(66,1),(78,1),(79,1)}
       75:{1,6}:{(68,1),(78,1)}
       76:{2,5,7}:{(69,1),(70,1),(72,1),(80,1)}
       77:{4,5,7}:{(71,1),(72,1),(73,1),(81,1),(82,1)}
       78:{3,6}:{(72,1),(75,1),(80,1),(81,1)}
       79:{4,6,7}:{(73,1),(74,1),(81,1),(82,1)}
       80:{2,6}:{(76,1),(78,1)}
       81:{4,6}:{(77,1),(78,1),(83,1)}
       82:{5,7}:{(79,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 289 :  0:{3,4,5}:{(1,1),(2,1),(3,1),(19,1),(70,1)}
        1:{1,4,5}:{(0,1),(6,1),(9,1)}
        2:{2,4,5}:{(0,1),(7,1),(10,1)}
        3:{3,4,6}:{(0,1),(9,1),(10,1),(11,1),(12,1),(36,1),(62,1)}
        4:{1,3,4}:{(6,1),(13,1),(35,1)}
        5:{2,3,4}:{(7,1),(14,1),(35,1)}
        6:{1,3,5}:{(1,1),(4,1),(15,1),(16,1),(19,1)}
        7:{2,3,5}:{(2,1),(5,1),(17,1),(18,1),(19,1)}
        8:{1,2,4,5}:{(1,1),(2,1),(15,1),(17,1),(19,1),(20,1),(43,1),(46,1),(66,1),(68,1),(70,1)}
        9:{1,4,6}:{(1,1),(3,1),(16,1),(21,1),(22,1)}
       10:{2,4,6}:{(2,1),(3,1),(18,1),(23,1),(24,1)}
       11:{3,5,6}:{(3,1),(21,1),(23,1),(25,1),(26,1)}
       12:{3,4,7}:{(3,1),(22,1),(24,1),(26,1),(51,1),(72,1)}
       13:{1,2,4}:{(4,1),(15,1),(27,1),(43,1)}
       14:{1,2,4}:{(5,1),(17,1),(28,1),(46,1)}
       15:{1,2,5}:{(6,1),(13,1),(29,1),(30,1)}
       16:{1,3,6}:{(6,1),(9,1),(30,1),(31,1),(36,1)}
       17:{1,2,5}:{(7,1),(14,1),(32,1),(33,1)}
       18:{2,3,6}:{(7,1),(10,1),(33,1),(34,1),(36,1)}
       19:{3,5}:{(8,1),(35,1),(36,1)}
       20:{1,2,4,6}:{(8,1),(9,1),(10,1),(30,1),(33,1),(36,1),(37,1),(38,1),(56,1),(58,1),(62,1)}
       21:{1,5,6}:{(9,1),(11,1),(39,1)}
       22:{1,4,7}:{(9,1),(12,1),(31,1),(39,1)}
       23:{2,5,6}:{(10,1),(11,1),(40,1)}
       24:{2,4,7}:{(10,1),(12,1),(34,1),(40,1)}
       25:{4,5,6}:{(11,1),(41,1),(62,1),(83,1)}
       26:{3,5,7}:{(11,1),(12,1),(39,1),(40,1),(41,1),(42,1)}
       27:{2,3}:{(13,1)}
       28:{1,3}:{(14,1)}
       29:{2,3,5}:{(15,1),(19,1),(27,1),(43,1),(44,1),(66,1)}
       30:{1,2,6}:{(15,1),(16,1),(44,1),(45,1)}
       31:{1,3,7}:{(16,1),(22,1),(45,1),(51,1)}
       32:{1,3,5}:{(17,1),(19,1),(28,1),(46,1),(47,1),(68,1)}
       33:{1,2,6}:{(17,1),(18,1),(47,1),(48,1)}
       34:{2,3,7}:{(18,1),(24,1),(48,1),(51,1)}
       35:{3,4}:{(19,1),(43,1),(46,1)}
       36:{3,6}:{(19,1),(20,1),(51,1)}
       37:{1,2,5,6}:{(20,1),(21,1),(23,1),(50,1),(52,1),(66,1),(68,1),(79,1),(80,1)}
       38:{1,2,4,7}:{(20,1),(22,1),(24,1),(45,1),(48,1),(51,1),(52,1),(67,1),(69,1),(72,1)}
       39:{1,5,7}:{(21,1),(22,1),(26,1),(53,1)}
       40:{2,5,7}:{(23,1),(24,1),(26,1),(54,1)}
       41:{4,5,7}:{(25,1),(26,1),(55,1),(72,1),(82,1)}
       42:{3,6,7}:{(26,1),(53,1),(54,1),(55,1)}
       43:{2,4}:{(29,1),(35,1)}
       44:{2,3,6}:{(29,1),(30,1),(36,1),(56,1),(57,1)}
       45:{1,2,7}:{(30,1),(31,1),(57,1)}
       46:{1,4}:{(32,1),(35,1)}
       47:{1,3,6}:{(32,1),(33,1),(36,1),(58,1),(59,1)}
       48:{1,2,7}:{(33,1),(34,1),(59,1)}
       49:{3,4,6}:{(35,1),(36,1),(56,1),(58,1),(60,1),(61,1),(62,1),(77,1)}
       50:{3,5,6}:{(36,1),(37,1),(60,1),(62,1),(63,1),(77,1),(83,1)}
       51:{3,7}:{(36,1),(38,1)}
       52:{1,2,5,7}:{(37,1),(38,1),(39,1),(40,1),(63,1),(64,1),(74,1),(75,1)}
       53:{1,6,7}:{(39,1),(42,1)}
       54:{2,6,7}:{(40,1),(42,1)}
       55:{4,6,7}:{(41,1),(42,1),(65,1)}
       56:{2,4,6}:{(43,1),(44,1),(49,1),(66,1),(67,1),(79,1)}
       57:{2,3,7}:{(44,1),(45,1),(51,1),(67,1)}
       58:{1,4,6}:{(46,1),(47,1),(49,1),(68,1),(69,1),(80,1)}
       59:{1,3,7}:{(47,1),(48,1),(51,1),(69,1)}
       60:{3,5}:{(49,1),(66,1),(68,1),(70,1)}
       61:{3,4,7}:{(49,1),(51,1),(67,1),(69,1),(71,1),(72,1)}
       62:{4,6}:{(50,1),(70,1),(72,1)}
       63:{3,5,7}:{(50,1),(51,1),(52,1),(72,1),(73,1),(82,1)}
       64:{1,2,6,7}:{(52,1),(53,1),(54,1),(73,1),(79,1),(80,1)}
       65:{5,6,7}:{(55,1),(82,1)}
       66:{2,5}:{(56,1),(60,1)}
       67:{2,4,7}:{(56,1),(57,1),(61,1),(74,1)}
       68:{1,5}:{(58,1),(60,1)}
       69:{1,4,7}:{(58,1),(59,1),(61,1),(75,1)}
       70:{4,5}:{(60,1),(62,1)}
       71:{3,5,7}:{(60,1),(61,1),(74,1),(75,1),(76,1),(77,1)}
       72:{4,7}:{(62,1),(63,1)}
       73:{3,6,7}:{(63,1),(64,1),(77,1),(78,1)}
       74:{2,5,7}:{(66,1),(67,1),(71,1),(79,1)}
       75:{1,5,7}:{(68,1),(69,1),(71,1),(80,1)}
       76:{4,5,7}:{(70,1),(71,1),(72,1),(81,1),(82,1)}
       77:{3,6}:{(71,1),(79,1),(80,1),(81,1)}
       78:{4,6,7}:{(72,1),(73,1),(81,1),(82,1)}
       79:{2,6}:{(74,1),(77,1)}
       80:{1,6}:{(75,1),(77,1)}
       81:{4,6}:{(76,1),(77,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 290 :   0:{1,2,3,5}:{(1,1),(2,1),(7,1),(12,1),(27,1),(33,1)}
         1:{1,2,4}:{(0,1),(4,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(17,1),(43,1)}
         3:{1,2,4,5}:{(1,1),(7,1),(8,1),(12,1),(24,1),(25,1),(27,1),(34,1)}
         4:{3,4}:{(1,1),(7,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(13,1),(36,1)}
         6:{1,2,3,7}:{(2,1),(13,1),(31,1),(61,1)}
         7:{3,5}:{(3,1),(4,1),(17,1)}
         8:{1,2,4,6}:{(3,1),(17,1),(18,1),(19,1),(38,1),(39,1),(43,1),(46,1)}
         9:{1,3,4}:{(4,1),(15,1),(20,1),(65,1)}
        10:{2,3,4}:{(4,1),(16,1),(20,1),(65,1)}
        11:{3,4,6}:{(4,1),(5,1),(17,1),(21,1),(22,1),(46,1),(50,1)}
        12:{1,2,5}:{(5,1),(21,1)}
        13:{1,2,4,7}:{(5,1),(6,1),(22,1),(23,1)}
        14:{3,4,5}:{(7,1),(24,1),(25,1),(26,1),(34,1),(51,1),(94,1)}
        15:{1,3,5}:{(7,1),(9,1),(24,1),(27,1),(28,1),(51,1)}
        16:{2,3,5}:{(7,1),(10,1),(25,1),(27,1),(29,1),(51,1)}
        17:{3,6}:{(7,1),(8,1),(31,1)}
        18:{1,2,5,6}:{(8,1),(12,1),(30,1),(32,1),(36,1),(53,1),(55,1)}
        19:{1,2,4,7}:{(8,1),(31,1),(32,1),(54,1),(56,1),(61,1),(62,1)}
        20:{1,2,4}:{(9,1),(10,1),(27,1),(33,1)}
        21:{3,5}:{(11,1),(12,1),(34,1)}
        22:{3,4,7}:{(11,1),(13,1),(31,1),(35,1),(62,1)}
        23:{1,2,5,7}:{(12,1),(13,1),(35,1),(36,1)}
        24:{1,4,5}:{(14,1),(15,1),(38,1)}
        25:{2,4,5}:{(14,1),(16,1),(39,1)}
        26:{3,4,6}:{(14,1),(17,1),(38,1),(39,1),(40,1),(41,1),(46,1),(66,1),(89,1)}
        27:{1,2,5}:{(15,1),(16,1),(20,1),(43,1)}
        28:{1,3,6}:{(15,1),(17,1),(38,1),(43,1),(44,1),(66,1)}
        29:{2,3,6}:{(16,1),(17,1),(39,1),(43,1),(45,1),(66,1)}
        30:{3,5,6}:{(17,1),(18,1),(21,1),(46,1),(47,1),(50,1),(76,1)}
        31:{3,7}:{(17,1),(19,1)}
        32:{1,2,5,7}:{(18,1),(19,1),(47,1),(48,1),(69,1),(70,1)}
        33:{1,2,3}:{(20,1)}
        34:{4,5}:{(21,1),(46,1)}
        35:{3,5,7}:{(21,1),(22,1),(23,1),(49,1),(50,1)}
        36:{1,2,6}:{(23,1),(50,1)}
        37:{1,2,4,5}:{(24,1),(25,1),(27,1),(51,1),(52,1),(59,1),(84,1),(94,1)}
        38:{1,4,6}:{(24,1),(26,1),(28,1),(53,1),(54,1)}
        39:{2,4,6}:{(25,1),(26,1),(29,1),(55,1),(56,1)}
        40:{3,5,6}:{(26,1),(53,1),(55,1),(57,1),(58,1)}
        41:{3,4,7}:{(26,1),(31,1),(54,1),(56,1),(58,1),(62,1),(79,1),(96,1)}
        42:{1,2,3,5}:{(27,1),(33,1),(51,1),(59,1),(60,1),(84,1)}
        43:{1,2,6}:{(27,1),(28,1),(29,1),(61,1)}
        44:{1,3,7}:{(28,1),(31,1),(54,1),(61,1),(79,1)}
        45:{2,3,7}:{(29,1),(31,1),(56,1),(61,1),(79,1)}
        46:{4,6}:{(30,1),(34,1),(62,1)}
        47:{3,5,7}:{(30,1),(31,1),(32,1),(62,1),(63,1),(86,1)}
        48:{1,2,6,7}:{(32,1),(36,1),(63,1),(81,1),(82,1)}
        49:{4,5,7}:{(34,1),(35,1),(62,1),(64,1),(86,1)}
        50:{3,6}:{(35,1),(36,1),(64,1)}
        51:{3,5}:{(37,1),(65,1),(66,1)}
        52:{1,2,4,6}:{(37,1),(38,1),(39,1),(43,1),(66,1),(67,1),(68,1),(89,1)}
        53:{1,5,6}:{(38,1),(40,1),(69,1)}
        54:{1,4,7}:{(38,1),(41,1),(44,1),(69,1)}
        55:{2,5,6}:{(39,1),(40,1),(70,1)}
        56:{2,4,7}:{(39,1),(41,1),(45,1),(70,1)}
        57:{4,5,6}:{(40,1),(46,1),(71,1),(76,1),(89,1),(104,1)}
        58:{3,5,7}:{(40,1),(41,1),(69,1),(70,1),(71,1),(72,1)}
        59:{1,2,4}:{(42,1),(65,1)}
        60:{1,2,3,6}:{(42,1),(43,1),(66,1),(73,1),(74,1)}
        61:{1,2,7}:{(43,1),(44,1),(45,1)}
        62:{4,7}:{(46,1),(47,1)}
        63:{3,6,7}:{(47,1),(48,1),(50,1),(75,1)}
        64:{4,6}:{(49,1),(50,1),(76,1)}
        65:{3,4}:{(51,1),(59,1)}
        66:{3,6}:{(51,1),(52,1),(79,1)}
        67:{1,2,5,6}:{(52,1),(53,1),(55,1),(78,1),(80,1),(84,1),(98,1)}
        68:{1,2,4,7}:{(52,1),(54,1),(56,1),(61,1),(79,1),(80,1),(96,1)}
        69:{1,5,7}:{(53,1),(54,1),(58,1),(81,1)}
        70:{2,5,7}:{(55,1),(56,1),(58,1),(82,1)}
        71:{4,5,7}:{(57,1),(58,1),(62,1),(83,1),(86,1),(96,1),(103,1)}
        72:{3,6,7}:{(58,1),(81,1),(82,1),(83,1)}
        73:{1,2,4,6}:{(59,1),(60,1),(77,1),(84,1),(85,1),(98,1)}
        74:{1,2,3,7}:{(60,1),(61,1),(79,1),(85,1)}
        75:{4,6,7}:{(62,1),(63,1),(64,1),(86,1)}
        76:{5,6}:{(64,1),(86,1)}
        77:{3,4,6}:{(65,1),(66,1),(73,1),(87,1),(88,1),(89,1),(100,1)}
        78:{3,5,6}:{(66,1),(67,1),(87,1),(89,1),(90,1),(100,1),(104,1)}
        79:{3,7}:{(66,1),(68,1)}
        80:{1,2,5,7}:{(67,1),(68,1),(69,1),(70,1),(90,1),(91,1)}
        81:{1,6,7}:{(69,1),(72,1)}
        82:{2,6,7}:{(70,1),(72,1)}
        83:{4,6,7}:{(71,1),(72,1),(92,1)}
        84:{1,2,5}:{(73,1),(87,1)}
        85:{1,2,4,7}:{(73,1),(74,1),(88,1),(93,1)}
        86:{5,7}:{(75,1),(76,1)}
        87:{3,5}:{(77,1),(84,1),(94,1)}
        88:{3,4,7}:{(77,1),(79,1),(85,1),(95,1),(96,1)}
        89:{4,6}:{(78,1),(94,1),(96,1)}
        90:{3,5,7}:{(78,1),(79,1),(80,1),(96,1),(97,1),(103,1)}
        91:{1,2,6,7}:{(80,1),(81,1),(82,1),(97,1),(98,1)}
        92:{5,6,7}:{(83,1),(86,1),(103,1)}
        93:{1,2,5,7}:{(84,1),(85,1),(95,1),(98,1)}
        94:{4,5}:{(87,1),(89,1)}
        95:{3,5,7}:{(87,1),(88,1),(93,1),(99,1),(100,1)}
        96:{4,7}:{(89,1),(90,1)}
        97:{3,6,7}:{(90,1),(91,1),(100,1),(101,1)}
        98:{1,2,6}:{(93,1),(100,1)}
        99:{4,5,7}:{(94,1),(95,1),(96,1),(102,1),(103,1)}
       100:{3,6}:{(95,1),(98,1),(102,1)}
       101:{4,6,7}:{(96,1),(97,1),(102,1),(103,1)}
       102:{4,6}:{(99,1),(100,1),(104,1)}
       103:{5,7}:{(101,1),(104,1)}
       104:{5,6}:{(102,1),(103,1)}

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

 292 :   0:{1,2,3,7}:{(1,1),(2,1),(44,1),(68,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(4,1),(5,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(34,1),(58,1)}
         3:{3,4,7}:{(1,1),(7,1),(8,1),(40,1),(44,1)}
         4:{1,2,5,7}:{(1,1),(7,1),(9,1),(10,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(9,1),(10,1),(11,1)}
         6:{1,2,3,5}:{(2,1),(10,1),(11,1),(25,1),(47,1),(48,1)}
         7:{3,5,7}:{(3,1),(4,1),(12,1),(13,1),(14,1)}
         8:{3,4,6}:{(3,1),(5,1),(13,1),(14,1),(18,1),(31,1),(34,1)}
         9:{1,2,6}:{(4,1),(13,1)}
        10:{1,2,5}:{(5,1),(14,1)}
        11:{1,2,4}:{(6,1),(18,1)}
        12:{4,5,7}:{(7,1),(19,1),(22,1),(38,1),(40,1)}
        13:{3,6}:{(7,1),(9,1),(19,1)}
        14:{3,5}:{(8,1),(10,1),(22,1)}
        15:{1,2,6,7}:{(9,1),(20,1),(23,1),(80,1),(81,1)}
        16:{1,2,5,6}:{(9,1),(10,1),(21,1),(23,1),(24,1),(62,1),(63,1)}
        17:{1,2,4,5}:{(10,1),(11,1),(22,1),(24,1),(25,1),(42,1),(43,1),(47,1)}
        18:{3,4}:{(11,1),(25,1)}
        19:{4,6}:{(12,1),(13,1),(29,1)}
        20:{3,6,7}:{(13,1),(15,1),(28,1),(30,1)}
        21:{3,5,6}:{(13,1),(14,1),(16,1),(29,1),(30,1),(31,1),(34,1)}
        22:{4,5}:{(14,1),(31,1)}
        23:{1,2,5,7}:{(15,1),(16,1),(30,1),(33,1),(72,1),(73,1)}
        24:{1,2,4,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(53,1),(54,1),(58,1)}
        25:{3,5}:{(17,1),(18,1),(34,1)}
        26:{1,3,4}:{(18,1),(35,1),(37,1),(77,1)}
        27:{2,3,4}:{(18,1),(36,1),(37,1),(77,1)}
        28:{4,6,7}:{(19,1),(20,1),(38,1),(40,1)}
        29:{5,6}:{(19,1),(38,1)}
        30:{3,5,7}:{(20,1),(21,1),(23,1),(38,1),(40,1),(44,1)}
        31:{4,6}:{(21,1),(22,1),(40,1)}
        32:{3,4,5}:{(22,1),(25,1),(41,1),(42,1),(43,1),(67,1),(96,1)}
        33:{1,2,4,7}:{(23,1),(24,1),(40,1),(44,1),(64,1),(65,1),(68,1)}
        34:{3,6}:{(24,1),(25,1),(44,1)}
        35:{1,3,5}:{(25,1),(26,1),(42,1),(45,1),(47,1),(67,1)}
        36:{2,3,5}:{(25,1),(27,1),(43,1),(46,1),(47,1),(67,1)}
        37:{1,2,4}:{(26,1),(27,1),(47,1),(48,1)}
        38:{5,7}:{(28,1),(29,1)}
        39:{4,5,6}:{(29,1),(31,1),(50,1),(51,1),(90,1),(104,1)}
        40:{4,7}:{(30,1),(31,1)}
        41:{3,4,6}:{(31,1),(32,1),(34,1),(51,1),(52,1),(53,1),(54,1),(76,1),(90,1)}
        42:{1,4,5}:{(32,1),(35,1),(53,1)}
        43:{2,4,5}:{(32,1),(36,1),(54,1)}
        44:{3,7}:{(33,1),(34,1)}
        45:{1,3,6}:{(34,1),(35,1),(53,1),(56,1),(58,1),(76,1)}
        46:{2,3,6}:{(34,1),(36,1),(54,1),(57,1),(58,1),(76,1)}
        47:{1,2,5}:{(35,1),(36,1),(37,1),(58,1)}
        48:{1,2,3}:{(37,1)}
        49:{5,6,7}:{(38,1),(60,1),(102,1)}
        50:{4,5,7}:{(38,1),(39,1),(40,1),(60,1),(61,1),(95,1),(102,1)}
        51:{3,5,6}:{(39,1),(41,1),(61,1),(62,1),(63,1)}
        52:{3,4,7}:{(40,1),(41,1),(44,1),(61,1),(64,1),(65,1),(84,1),(95,1)}
        53:{1,4,6}:{(41,1),(42,1),(45,1),(62,1),(64,1)}
        54:{2,4,6}:{(41,1),(43,1),(46,1),(63,1),(65,1)}
        55:{1,2,4,5}:{(42,1),(43,1),(47,1),(66,1),(67,1),(70,1),(87,1),(96,1)}
        56:{1,3,7}:{(44,1),(45,1),(64,1),(68,1),(84,1)}
        57:{2,3,7}:{(44,1),(46,1),(65,1),(68,1),(84,1)}
        58:{1,2,6}:{(45,1),(46,1),(47,1),(68,1)}
        59:{1,2,3,5}:{(47,1),(48,1),(67,1),(69,1),(70,1),(87,1)}
        60:{4,6,7}:{(49,1),(50,1),(71,1)}
        61:{3,5,7}:{(50,1),(51,1),(52,1),(71,1),(72,1),(73,1)}
        62:{1,5,6}:{(51,1),(53,1),(72,1)}
        63:{2,5,6}:{(51,1),(54,1),(73,1)}
        64:{1,4,7}:{(52,1),(53,1),(56,1),(72,1)}
        65:{2,4,7}:{(52,1),(54,1),(57,1),(73,1)}
        66:{1,2,4,6}:{(53,1),(54,1),(55,1),(58,1),(74,1),(75,1),(76,1),(90,1)}
        67:{3,5}:{(55,1),(76,1),(77,1)}
        68:{1,2,7}:{(56,1),(57,1),(58,1)}
        69:{1,2,3,6}:{(58,1),(59,1),(76,1),(78,1),(79,1)}
        70:{1,2,4}:{(59,1),(77,1)}
        71:{3,6,7}:{(60,1),(61,1),(80,1),(81,1)}
        72:{1,5,7}:{(61,1),(62,1),(64,1),(80,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1),(81,1)}
        74:{1,2,5,6}:{(62,1),(63,1),(66,1),(82,1),(83,1),(87,1),(98,1)}
        75:{1,2,4,7}:{(64,1),(65,1),(66,1),(68,1),(82,1),(84,1),(95,1)}
        76:{3,6}:{(66,1),(67,1),(84,1)}
        77:{3,4}:{(67,1),(70,1)}
        78:{1,2,3,7}:{(68,1),(69,1),(84,1),(86,1)}
        79:{1,2,4,6}:{(69,1),(70,1),(85,1),(86,1),(87,1),(98,1)}
        80:{1,6,7}:{(71,1),(72,1)}
        81:{2,6,7}:{(71,1),(73,1)}
        82:{1,2,5,7}:{(72,1),(73,1),(74,1),(75,1),(88,1),(89,1)}
        83:{3,5,6}:{(74,1),(76,1),(89,1),(90,1),(92,1),(101,1),(104,1)}
        84:{3,7}:{(75,1),(76,1)}
        85:{3,4,6}:{(76,1),(77,1),(79,1),(90,1),(91,1),(92,1),(101,1)}
        86:{1,2,4,7}:{(78,1),(79,1),(91,1),(93,1)}
        87:{1,2,5}:{(79,1),(92,1)}
        88:{1,2,6,7}:{(80,1),(81,1),(82,1),(94,1),(98,1)}
        89:{3,5,7}:{(82,1),(83,1),(84,1),(94,1),(95,1),(102,1)}
        90:{4,6}:{(83,1),(95,1),(96,1)}
        91:{3,4,7}:{(84,1),(85,1),(86,1),(95,1),(97,1)}
        92:{3,5}:{(85,1),(87,1),(96,1)}
        93:{1,2,5,7}:{(86,1),(87,1),(97,1),(98,1)}
        94:{3,6,7}:{(88,1),(89,1),(99,1),(101,1)}
        95:{4,7}:{(89,1),(90,1)}
        96:{4,5}:{(90,1),(92,1)}
        97:{3,5,7}:{(91,1),(92,1),(93,1),(100,1),(101,1)}
        98:{1,2,6}:{(93,1),(101,1)}
        99:{4,6,7}:{(94,1),(95,1),(102,1),(103,1)}
       100:{4,5,7}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{5,7}:{(99,1),(104,1)}
       103:{4,6}:{(100,1),(101,1),(104,1)}
       104:{5,6}:{(102,1),(103,1)}

 293 :   0:{1,3,5,6}:{(2,1),(3,1),(4,1),(18,1),(21,1),(50,1),(60,1),(61,1),(94,1),(96,1),(125,1),(150,1)}
         1:{2,3,5,6}:{(2,1),(5,1),(6,1),(18,1),(26,1),(51,1),(65,1),(66,1),(95,1),(96,1),(126,1),(150,1)}
         2:{1,2,5,6}:{(0,1),(1,1),(7,1),(8,1),(37,1),(43,1),(72,1),(81,1),(85,1),(112,1),(139,1)}
         3:{1,4,6}:{(0,1),(9,1),(10,1),(11,1),(69,1),(115,1),(159,1)}
         4:{1,3,5,7}:{(0,1),(8,1),(11,1),(12,1),(35,1),(38,1),(42,1),(80,1)}
         5:{2,4,6}:{(1,1),(13,1),(14,1),(15,1),(70,1),(115,1),(159,1)}
         6:{2,3,5,7}:{(1,1),(8,1),(15,1),(16,1),(35,1),(44,1),(48,1),(80,1)}
         7:{1,2,4,6}:{(2,1),(3,1),(5,1),(17,1),(18,1),(19,1),(23,1),(28,1),(54,1),(89,1)}
         8:{1,2,5,7}:{(2,1),(4,1),(6,1),(19,1),(20,1),(59,1),(64,1)}
         9:{1,4,5}:{(3,1),(21,1),(125,1),(127,1)}
        10:{3,4,6}:{(3,1),(18,1),(21,1),(23,1),(24,1),(49,1),(60,1)}
        11:{1,4,7}:{(3,1),(4,1),(24,1),(100,1)}
        12:{1,3,6,7}:{(4,1),(20,1),(25,1),(57,1),(60,1),(94,1),(157,1)}
        13:{2,4,5}:{(5,1),(26,1),(126,1),(127,1)}
        14:{3,4,6}:{(5,1),(18,1),(26,1),(28,1),(29,1),(49,1),(65,1)}
        15:{2,4,7}:{(5,1),(6,1),(29,1),(100,1)}
        16:{2,3,6,7}:{(6,1),(20,1),(30,1),(57,1),(65,1),(95,1),(158,1)}
        17:{1,2,4,5}:{(7,1),(9,1),(13,1),(31,1),(37,1),(43,1),(69,1),(70,1),(72,1),(139,1),(159,1)}
        18:{3,6}:{(7,1),(31,1),(35,1),(107,1)}
        19:{1,2,4,7}:{(7,1),(8,1),(11,1),(15,1),(35,1),(40,1),(46,1),(77,1)}
        20:{1,2,6,7}:{(8,1),(12,1),(16,1),(81,1),(85,1),(112,1),(165,1)}
        21:{3,5}:{(9,1),(10,1),(37,1)}
        22:{1,4,5,7}:{(9,1),(11,1),(38,1),(39,1),(42,1),(84,1)}
        23:{2,4,6}:{(10,1),(34,1),(37,1),(40,1),(70,1),(81,1)}
        24:{3,4,7}:{(10,1),(11,1),(35,1),(38,1),(40,1)}
        25:{1,4,6,7}:{(11,1),(12,1),(39,1),(41,1),(42,1),(109,1),(147,1),(148,1)}
        26:{3,5}:{(13,1),(14,1),(43,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(44,1),(45,1),(48,1),(88,1)}
        28:{1,4,6}:{(14,1),(33,1),(43,1),(46,1),(69,1),(85,1)}
        29:{3,4,7}:{(14,1),(15,1),(35,1),(44,1),(46,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(45,1),(47,1),(48,1),(110,1),(146,1),(149,1)}
        31:{3,5}:{(17,1),(18,1),(49,1)}
        32:{1,2,4,5,7}:{(17,1),(19,1),(22,1),(27,1),(52,1),(53,1),(58,1),(59,1),(64,1),(90,1),(91,1),(93,1),(100,1),(103,1),(106,1),(125,1),(126,1),(127,1),(131,1),(135,1),(137,1),(151,1)}
        33:{1,3,6}:{(18,1),(28,1),(50,1),(54,1),(55,1)}
        34:{2,3,6}:{(18,1),(23,1),(51,1),(54,1),(56,1)}
        35:{3,7}:{(18,1),(19,1)}
        36:{1,2,4,6,7}:{(19,1),(20,1),(25,1),(30,1),(53,1),(57,1),(58,1),(62,1),(67,1),(97,1),(100,1),(124,1),(131,1)}
        37:{2,5}:{(21,1),(23,1)}
        38:{3,5,7}:{(21,1),(22,1),(24,1),(59,1),(60,1)}
        39:{1,4,6}:{(22,1),(60,1),(61,1),(102,1)}
        40:{2,4,7}:{(23,1),(24,1),(56,1),(59,1)}
        41:{3,4,6,7}:{(24,1),(25,1),(57,1),(60,1),(62,1),(63,1),(92,1),(100,1),(102,1),(133,1),(134,1)}
        42:{1,5,7}:{(25,1),(61,1),(63,1),(125,1)}
        43:{1,5}:{(26,1),(28,1)}
        44:{3,5,7}:{(26,1),(27,1),(29,1),(64,1),(65,1)}
        45:{2,4,6}:{(27,1),(65,1),(66,1),(105,1)}
        46:{1,4,7}:{(28,1),(29,1),(55,1),(64,1)}
        47:{3,4,6,7}:{(29,1),(30,1),(57,1),(65,1),(67,1),(68,1),(92,1),(100,1),(105,1),(132,1),(136,1)}
        48:{2,5,7}:{(30,1),(66,1),(68,1),(126,1)}
        49:{3,4}:{(31,1),(69,1),(70,1),(107,1),(159,1)}
        50:{1,3,5}:{(31,1),(33,1),(43,1),(69,1),(72,1),(107,1)}
        51:{2,3,5}:{(31,1),(34,1),(37,1),(70,1),(72,1),(107,1)}
        52:{3,5,7}:{(31,1),(32,1),(35,1),(71,1),(75,1),(111,1),(145,1),(160,1)}
        53:{1,2,4,6}:{(32,1),(39,1),(45,1),(75,1),(76,1),(81,1),(85,1),(109,1),(110,1),(112,1),(115,1),(119,1),(121,1),(148,1),(149,1)}
        54:{1,2,6}:{(33,1),(34,1),(72,1),(77,1)}
        55:{1,3,7}:{(33,1),(35,1),(46,1),(77,1)}
        56:{2,3,7}:{(34,1),(35,1),(40,1),(77,1)}
        57:{3,6,7}:{(35,1),(36,1),(75,1),(80,1),(138,1),(145,1)}
        58:{1,2,5,7}:{(36,1),(42,1),(48,1),(76,1),(80,1),(83,1),(87,1),(139,1)}
        59:{2,5,7}:{(37,1),(38,1),(40,1),(81,1)}
        60:{3,6}:{(38,1),(39,1),(81,1)}
        61:{1,5,6}:{(39,1),(42,1),(82,1),(148,1)}
        62:{2,4,6,7}:{(40,1),(41,1),(79,1),(81,1),(83,1),(110,1),(118,1),(119,1)}
        63:{3,5,7}:{(41,1),(42,1),(82,1),(83,1),(84,1),(111,1)}
        64:{1,5,7}:{(43,1),(44,1),(46,1),(85,1)}
        65:{3,6}:{(44,1),(45,1),(85,1)}
        66:{2,5,6}:{(45,1),(48,1),(86,1),(149,1)}
        67:{1,4,6,7}:{(46,1),(47,1),(78,1),(85,1),(87,1),(109,1),(117,1),(121,1)}
        68:{3,5,7}:{(47,1),(48,1),(86,1),(87,1),(88,1),(111,1)}
        69:{1,4}:{(49,1),(50,1)}
        70:{2,4}:{(49,1),(51,1)}
        71:{3,4,7}:{(49,1),(52,1),(90,1),(91,1),(92,1),(100,1),(123,1),(166,1)}
        72:{1,2,5}:{(50,1),(51,1),(54,1),(89,1)}
        73:{1,3,5,7}:{(50,1),(52,1),(55,1),(64,1),(90,1),(93,1),(94,1),(123,1),(125,1),(135,1),(150,1),(157,1),(167,1)}
        74:{2,3,5,7}:{(51,1),(52,1),(56,1),(59,1),(91,1),(93,1),(95,1),(123,1),(126,1),(137,1),(150,1),(158,1),(168,1)}
        75:{3,6}:{(52,1),(53,1)}
        76:{1,2,5,6}:{(53,1),(58,1),(61,1),(66,1),(96,1),(101,1),(104,1),(125,1),(126,1)}
        77:{1,2,7}:{(54,1),(55,1),(56,1)}
        78:{1,3,6,7}:{(55,1),(57,1),(67,1),(94,1),(97,1),(98,1),(136,1)}
        79:{2,3,6,7}:{(56,1),(57,1),(62,1),(95,1),(97,1),(99,1),(134,1)}
        80:{3,5,7}:{(57,1),(58,1),(96,1),(100,1),(150,1)}
        81:{2,6}:{(59,1),(60,1)}
        82:{3,5,6}:{(60,1),(61,1),(63,1),(101,1),(102,1),(134,1)}
        83:{2,5,7}:{(62,1),(63,1),(101,1),(126,1)}
        84:{4,5,7}:{(63,1),(100,1),(102,1),(127,1)}
        85:{1,6}:{(64,1),(65,1)}
        86:{3,5,6}:{(65,1),(66,1),(68,1),(104,1),(105,1),(136,1)}
        87:{1,5,7}:{(67,1),(68,1),(104,1),(125,1)}
        88:{4,5,7}:{(68,1),(100,1),(105,1),(127,1)}
        89:{1,2,4}:{(69,1),(70,1),(72,1),(107,1)}
        90:{1,4,7}:{(69,1),(71,1),(73,1),(109,1),(159,1),(170,1)}
        91:{2,4,7}:{(70,1),(71,1),(74,1),(110,1),(159,1),(171,1)}
        92:{3,4,6}:{(71,1),(75,1),(109,1),(110,1),(111,1),(115,1),(138,1),(159,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(77,1),(108,1),(112,1),(139,1),(165,1),(172,1)}
        94:{1,3,6}:{(73,1),(75,1),(85,1),(109,1),(112,1),(138,1),(148,1)}
        95:{2,3,6}:{(74,1),(75,1),(81,1),(110,1),(112,1),(138,1),(149,1)}
        96:{3,5,6}:{(75,1),(76,1),(80,1),(111,1),(115,1)}
        97:{1,2,6,7}:{(77,1),(78,1),(79,1),(112,1),(116,1),(148,1),(149,1)}
        98:{1,3,5,7}:{(78,1),(80,1),(87,1),(113,1),(116,1),(117,1),(122,1),(145,1)}
        99:{2,3,5,7}:{(79,1),(80,1),(83,1),(114,1),(116,1),(118,1),(120,1),(145,1)}
       100:{4,7}:{(80,1),(115,1),(159,1)}
       101:{2,5,6}:{(81,1),(82,1),(83,1),(119,1)}
       102:{4,6}:{(82,1),(84,1)}
       103:{2,4,5,7}:{(83,1),(84,1),(118,1),(119,1),(120,1),(141,1)}
       104:{1,5,6}:{(85,1),(86,1),(87,1),(121,1)}
       105:{4,6}:{(86,1),(88,1)}
       106:{1,4,5,7}:{(87,1),(88,1),(117,1),(121,1),(122,1),(140,1)}
       107:{3}:{(89,1)}
       108:{1,2,4,7}:{(89,1),(90,1),(91,1),(93,1),(123,1),(124,1),(173,1)}
       109:{1,4,6}:{(90,1),(92,1),(94,1),(125,1)}
       110:{2,4,6}:{(91,1),(92,1),(95,1),(126,1)}
       111:{3,5}:{(92,1),(125,1),(126,1),(127,1)}
       112:{1,2,6}:{(93,1),(94,1),(95,1)}
       113:{1,3,5,6}:{(94,1),(96,1),(98,1),(104,1),(125,1),(128,1),(129,1),(136,1),(150,1),(152,1),(154,1),(167,1)}
       114:{2,3,5,6}:{(95,1),(96,1),(99,1),(101,1),(126,1),(128,1),(130,1),(134,1),(150,1),(153,1),(154,1),(168,1)}
       115:{4,6}:{(96,1),(100,1),(127,1)}
       116:{1,2,5,7}:{(97,1),(98,1),(99,1),(128,1),(131,1),(135,1),(137,1)}
       117:{1,4,7}:{(98,1),(100,1),(129,1),(132,1)}
       118:{2,4,7}:{(99,1),(100,1),(130,1),(133,1)}
       119:{2,4,6}:{(101,1),(102,1),(103,1),(134,1)}
       120:{3,5,7}:{(103,1),(133,1),(134,1),(135,1),(153,1)}
       121:{1,4,6}:{(104,1),(105,1),(106,1),(136,1)}
       122:{3,5,7}:{(106,1),(132,1),(136,1),(137,1),(152,1)}
       123:{3,7}:{(107,1),(108,1),(138,1),(174,1)}
       124:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(138,1),(139,1),(159,1)}
       125:{1,5}:{(109,1),(111,1)}
       126:{2,5}:{(110,1),(111,1)}
       127:{4,5}:{(111,1),(115,1),(159,1)}
       128:{1,2,5,6}:{(112,1),(113,1),(114,1),(116,1),(139,1),(142,1),(148,1),(149,1),(161,1),(162,1),(172,1)}
       129:{1,4,6}:{(113,1),(115,1),(117,1),(140,1),(143,1),(159,1),(170,1)}
       130:{2,4,6}:{(114,1),(115,1),(118,1),(141,1),(144,1),(159,1),(171,1)}
       131:{1,2,4,7}:{(116,1),(117,1),(118,1),(142,1),(145,1),(146,1),(147,1),(165,1)}
       132:{3,4,7}:{(117,1),(122,1),(143,1),(145,1),(146,1)}
       133:{3,4,7}:{(118,1),(120,1),(144,1),(145,1),(147,1)}
       134:{3,6}:{(119,1),(120,1),(148,1)}
       135:{1,5,7}:{(120,1),(147,1),(148,1),(162,1)}
       136:{3,6}:{(121,1),(122,1),(149,1)}
       137:{2,5,7}:{(122,1),(146,1),(149,1),(161,1)}
       138:{3,6}:{(123,1),(124,1),(150,1)}
       139:{1,2,5}:{(124,1),(125,1),(126,1),(150,1)}
       140:{1,4,5}:{(125,1),(127,1),(129,1),(152,1)}
       141:{2,4,5}:{(126,1),(127,1),(130,1),(153,1)}
       142:{1,2,4,6}:{(128,1),(129,1),(130,1),(131,1),(151,1),(154,1),(155,1),(156,1),(169,1),(173,1)}
       143:{3,4,6}:{(129,1),(132,1),(136,1),(152,1),(154,1),(155,1),(166,1)}
       144:{3,4,6}:{(130,1),(133,1),(134,1),(153,1),(154,1),(156,1),(166,1)}
       145:{3,7}:{(131,1),(154,1)}
       146:{2,4,7}:{(132,1),(137,1),(155,1),(158,1)}
       147:{1,4,7}:{(133,1),(135,1),(156,1),(157,1)}
       148:{1,6}:{(134,1),(135,1)}
       149:{2,6}:{(136,1),(137,1)}
       150:{3,5}:{(138,1),(139,1),(159,1)}
       151:{1,2,4,5}:{(139,1),(140,1),(141,1),(142,1),(159,1),(160,1),(161,1),(162,1),(170,1),(171,1),(172,1)}
       152:{3,5}:{(140,1),(143,1),(161,1)}
       153:{3,5}:{(141,1),(144,1),(162,1)}
       154:{3,6}:{(142,1),(145,1),(160,1),(174,1)}
       155:{2,4,6}:{(143,1),(146,1),(149,1),(161,1),(164,1),(171,1)}
       156:{1,4,6}:{(144,1),(147,1),(148,1),(162,1),(163,1),(170,1)}
       157:{1,3,7}:{(145,1),(147,1),(163,1),(165,1)}
       158:{2,3,7}:{(145,1),(146,1),(164,1),(165,1)}
       159:{4}:{(150,1)}
       160:{3,5}:{(151,1),(154,1),(166,1)}
       161:{2,5}:{(152,1),(155,1)}
       162:{1,5}:{(153,1),(156,1)}
       163:{1,3,6}:{(154,1),(156,1),(157,1),(167,1),(169,1)}
       164:{2,3,6}:{(154,1),(155,1),(158,1),(168,1),(169,1)}
       165:{1,2,7}:{(157,1),(158,1),(169,1)}
       166:{3,4}:{(159,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(160,1),(162,1),(163,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(160,1),(161,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(163,1),(164,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

 294 :   0:{1,3,5,7}:{(2,1),(3,1),(4,1),(15,1),(19,1),(23,1),(54,1)}
         1:{2,3,5,7}:{(2,1),(5,1),(6,1),(17,1),(19,1),(26,1),(54,1)}
         2:{1,2,5,7}:{(0,1),(1,1),(9,1),(10,1),(28,1),(32,1),(38,1)}
         3:{1,4,7}:{(0,1),(11,1),(12,1),(70,1),(100,1)}
         4:{1,3,6}:{(0,1),(10,1),(12,1),(29,1),(37,1),(102,1)}
         5:{2,4,7}:{(1,1),(13,1),(14,1),(70,1),(101,1)}
         6:{2,3,6}:{(1,1),(10,1),(14,1),(33,1),(37,1),(103,1)}
         7:{1,4,5,7}:{(3,1),(15,1),(16,1),(23,1),(44,1),(56,1),(74,1)}
         8:{2,4,5,7}:{(5,1),(17,1),(18,1),(26,1),(48,1),(58,1),(77,1)}
         9:{1,2,4,7}:{(2,1),(3,1),(5,1),(19,1),(20,1),(21,1),(24,1),(51,1)}
        10:{1,2,6}:{(2,1),(4,1),(6,1),(45,1),(49,1),(104,1)}
        11:{3,4,7}:{(3,1),(15,1),(19,1),(21,1),(22,1),(74,1),(93,1)}
        12:{1,4,6}:{(3,1),(4,1),(22,1),(23,1),(94,1),(99,1)}
        13:{3,4,7}:{(5,1),(17,1),(19,1),(24,1),(25,1),(77,1),(95,1)}
        14:{2,4,6}:{(5,1),(6,1),(25,1),(26,1),(96,1),(98,1)}
        15:{3,5,7}:{(7,1),(11,1),(28,1),(29,1),(40,1)}
        16:{1,4,6}:{(7,1),(29,1),(30,1),(62,1)}
        17:{3,5,7}:{(8,1),(13,1),(32,1),(33,1),(42,1)}
        18:{2,4,6}:{(8,1),(33,1),(34,1),(66,1)}
        19:{3,7}:{(9,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(10,1),(12,1),(14,1),(37,1),(38,1),(39,1),(41,1),(67,1),(70,1),(88,1)}
        21:{2,4,7}:{(11,1),(28,1),(36,1),(39,1)}
        22:{3,4,6}:{(11,1),(12,1),(29,1),(37,1),(39,1),(40,1),(62,1),(70,1),(85,1),(90,1)}
        23:{1,5}:{(12,1),(40,1)}
        24:{1,4,7}:{(13,1),(32,1),(35,1),(41,1)}
        25:{3,4,6}:{(13,1),(14,1),(33,1),(37,1),(41,1),(42,1),(66,1),(70,1),(87,1),(89,1)}
        26:{2,5}:{(14,1),(42,1)}
        27:{1,4,6,7}:{(16,1),(43,1),(44,1),(74,1)}
        28:{2,5,7}:{(15,1),(21,1),(45,1),(55,1)}
        29:{3,6}:{(15,1),(16,1),(45,1)}
        30:{1,5,6}:{(16,1),(23,1),(44,1),(46,1),(94,1)}
        31:{2,4,6,7}:{(18,1),(47,1),(48,1),(77,1)}
        32:{1,5,7}:{(17,1),(24,1),(49,1),(57,1)}
        33:{3,6}:{(17,1),(18,1),(49,1)}
        34:{2,5,6}:{(18,1),(26,1),(48,1),(50,1),(96,1)}
        35:{1,3,7}:{(19,1),(24,1),(51,1),(52,1),(95,1)}
        36:{2,3,7}:{(19,1),(21,1),(51,1),(53,1),(93,1)}
        37:{3,6}:{(19,1),(20,1),(54,1),(97,1)}
        38:{1,2,5}:{(20,1),(23,1),(26,1),(54,1),(55,1),(57,1)}
        39:{2,4,6}:{(21,1),(22,1),(45,1),(53,1),(55,1),(81,1)}
        40:{3,5}:{(22,1),(23,1),(55,1),(56,1)}
        41:{1,4,6}:{(24,1),(25,1),(49,1),(52,1),(57,1),(80,1)}
        42:{3,5}:{(25,1),(26,1),(57,1),(58,1)}
        43:{3,6,7}:{(27,1),(29,1),(59,1),(60,1)}
        44:{1,5,7}:{(27,1),(30,1),(60,1),(100,1)}
        45:{2,6}:{(28,1),(29,1)}
        46:{3,5,6}:{(29,1),(30,1),(40,1),(60,1),(61,1),(62,1),(85,1)}
        47:{3,6,7}:{(31,1),(33,1),(63,1),(64,1)}
        48:{2,5,7}:{(31,1),(34,1),(64,1),(101,1)}
        49:{1,6}:{(32,1),(33,1)}
        50:{3,5,6}:{(33,1),(34,1),(42,1),(64,1),(65,1),(66,1),(87,1)}
        51:{1,2,7}:{(35,1),(36,1),(67,1),(100,1),(101,1)}
        52:{1,3,6}:{(35,1),(37,1),(41,1),(67,1),(68,1),(87,1)}
        53:{2,3,6}:{(36,1),(37,1),(39,1),(67,1),(69,1),(85,1)}
        54:{3,5}:{(37,1),(38,1),(70,1)}
        55:{2,5}:{(39,1),(40,1)}
        56:{4,5}:{(40,1),(62,1),(70,1)}
        57:{1,5}:{(41,1),(42,1)}
        58:{4,5}:{(42,1),(66,1),(70,1)}
        59:{2,6,7}:{(43,1),(45,1),(73,1)}
        60:{3,5,7}:{(43,1),(44,1),(46,1),(73,1),(74,1),(93,1)}
        61:{2,5,6}:{(45,1),(46,1),(55,1),(73,1),(75,1)}
        62:{4,6}:{(46,1),(56,1),(74,1)}
        63:{1,6,7}:{(47,1),(49,1),(76,1)}
        64:{3,5,7}:{(47,1),(48,1),(50,1),(76,1),(77,1),(95,1)}
        65:{1,5,6}:{(49,1),(50,1),(57,1),(76,1),(78,1)}
        66:{4,6}:{(50,1),(58,1),(77,1)}
        67:{1,2,6}:{(51,1),(52,1),(53,1),(79,1),(94,1),(96,1)}
        68:{1,3,5}:{(52,1),(54,1),(57,1),(79,1),(80,1),(83,1),(97,1)}
        69:{2,3,5}:{(53,1),(54,1),(55,1),(79,1),(81,1),(82,1),(97,1)}
        70:{4}:{(54,1)}
        71:{2,4,5}:{(55,1),(56,1),(75,1),(81,1),(82,1)}
        72:{1,4,5}:{(57,1),(58,1),(78,1),(80,1),(83,1)}
        73:{2,5,7}:{(59,1),(60,1),(61,1),(84,1)}
        74:{4,7}:{(60,1),(62,1)}
        75:{2,4,6}:{(61,1),(62,1),(71,1),(84,1),(85,1)}
        76:{1,5,7}:{(63,1),(64,1),(65,1),(86,1)}
        77:{4,7}:{(64,1),(66,1)}
        78:{1,4,6}:{(65,1),(66,1),(72,1),(86,1),(87,1)}
        79:{1,2,5}:{(67,1),(68,1),(69,1),(88,1),(91,1),(92,1)}
        80:{1,4}:{(68,1),(70,1),(89,1)}
        81:{2,4}:{(69,1),(70,1),(90,1)}
        82:{3,5}:{(71,1),(85,1),(90,1),(91,1)}
        83:{3,5}:{(72,1),(87,1),(89,1),(92,1)}
        84:{2,4,7}:{(73,1),(74,1),(75,1),(93,1)}
        85:{3,6}:{(75,1),(82,1),(93,1),(94,1)}
        86:{1,4,7}:{(76,1),(77,1),(78,1),(95,1)}
        87:{3,6}:{(78,1),(83,1),(95,1),(96,1)}
        88:{1,2,4}:{(79,1),(80,1),(81,1),(97,1),(98,1),(99,1),(104,1)}
        89:{3,4}:{(80,1),(83,1),(97,1),(98,1)}
        90:{3,4}:{(81,1),(82,1),(97,1),(99,1)}
        91:{1,5}:{(82,1),(94,1),(99,1)}
        92:{2,5}:{(83,1),(96,1),(98,1)}
        93:{3,7}:{(84,1),(85,1),(100,1)}
        94:{1,6}:{(85,1),(91,1),(100,1)}
        95:{3,7}:{(86,1),(87,1),(101,1)}
        96:{2,6}:{(87,1),(92,1),(101,1)}
        97:{3}:{(88,1)}
        98:{2,4}:{(89,1),(92,1),(103,1)}
        99:{1,4}:{(90,1),(91,1),(102,1)}
       100:{1,7}:{(93,1),(94,1)}
       101:{2,7}:{(95,1),(96,1)}
       102:{1,3}:{(97,1),(99,1),(104,1)}
       103:{2,3}:{(97,1),(98,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

 295 :   0:{1,2,4,5,6}:{(1,1),(2,1),(9,1),(10,1),(12,1),(32,1),(73,1),(74,1),(75,1),(76,1),(102,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(51,1),(88,1),(100,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(24,1),(26,1),(62,1),(63,1),(64,1)}
         3:{3,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(40,1),(71,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(12,1),(13,1),(30,1),(40,1),(67,1),(68,1),(74,1),(94,1),(96,1),(103,1)}
         5:{2,3,5,6}:{(1,1),(10,1),(12,1),(14,1),(31,1),(40,1),(65,1),(70,1),(75,1),(92,1),(96,1),(102,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(15,1)}
         7:{1,2,4,6,7}:{(2,1),(15,1),(16,1),(42,1),(43,1),(45,1),(46,1),(73,1)}
         8:{3,4,5}:{(3,1),(17,1),(18,1),(51,1),(100,1)}
         9:{1,4,6}:{(3,1),(4,1),(17,1),(23,1),(84,1),(101,1)}
        10:{2,4,6}:{(3,1),(5,1),(18,1),(24,1),(81,1),(101,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(24,1),(60,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(22,1),(26,1),(47,1),(49,1),(83,1),(86,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(23,1),(26,1),(27,1),(60,1),(62,1),(90,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(24,1),(26,1),(28,1),(60,1),(63,1),(90,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,2,5,6,7}:{(7,1),(29,1),(62,1),(63,1),(89,1)}
        17:{1,4,5}:{(8,1),(9,1),(30,1),(103,1),(104,1)}
        18:{2,4,5}:{(8,1),(10,1),(31,1),(102,1),(104,1)}
        19:{3,4,5,7}:{(8,1),(11,1),(33,1),(34,1),(35,1),(44,1),(72,1),(97,1),(104,1)}
        20:{1,3,4,6}:{(9,1),(30,1),(36,1),(37,1),(40,1),(67,1),(71,1),(95,1)}
        21:{2,3,4,6}:{(10,1),(31,1),(38,1),(39,1),(40,1),(70,1),(71,1),(95,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(12,1),(32,1),(40,1),(41,1)}
        23:{1,4,7}:{(9,1),(11,1),(13,1),(97,1)}
        24:{2,4,7}:{(10,1),(11,1),(14,1),(97,1)}
        25:{3,4,6,7}:{(11,1),(15,1),(35,1),(42,1),(43,1),(44,1),(46,1),(79,1),(95,1),(97,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(14,1),(41,1),(45,1)}
        27:{1,3,6,7}:{(13,1),(15,1),(42,1),(45,1),(67,1),(79,1),(94,1)}
        28:{2,3,6,7}:{(14,1),(15,1),(43,1),(45,1),(70,1),(79,1),(92,1)}
        29:{3,5,6,7}:{(15,1),(16,1),(44,1),(46,1),(96,1)}
        30:{1,3,5}:{(17,1),(20,1),(47,1),(51,1),(100,1)}
        31:{2,3,5}:{(18,1),(21,1),(49,1),(51,1),(100,1)}
        32:{1,2,4,5}:{(17,1),(18,1),(22,1),(47,1),(49,1),(51,1),(81,1),(84,1)}
        33:{1,4,5,7}:{(17,1),(19,1),(23,1),(48,1),(53,1),(62,1)}
        34:{2,4,5,7}:{(18,1),(19,1),(24,1),(50,1),(54,1),(63,1)}
        35:{3,4,6}:{(19,1),(53,1),(54,1),(55,1),(88,1),(101,1)}
        36:{1,2,4,6}:{(20,1),(47,1),(56,1),(57,1),(81,1),(83,1),(98,1)}
        37:{1,3,4,7}:{(20,1),(23,1),(48,1),(57,1),(60,1),(87,1)}
        38:{1,2,4,6}:{(21,1),(49,1),(58,1),(59,1),(84,1),(86,1),(99,1)}
        39:{2,3,4,7}:{(21,1),(24,1),(50,1),(59,1),(60,1),(87,1)}
        40:{3,6}:{(22,1),(51,1),(60,1)}
        41:{1,2,4,7}:{(22,1),(23,1),(24,1),(26,1),(60,1)}
        42:{1,4,6,7}:{(23,1),(25,1),(27,1),(53,1),(62,1),(99,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(28,1),(54,1),(63,1),(98,1)}
        44:{3,5,7}:{(25,1),(55,1),(62,1),(63,1),(64,1),(100,1)}
        45:{1,2,6,7}:{(26,1),(27,1),(28,1),(83,1),(86,1)}
        46:{4,6,7}:{(29,1),(64,1),(101,1)}
        47:{1,2,5}:{(30,1),(36,1),(65,1),(102,1)}
        48:{1,3,5,7}:{(30,1),(33,1),(37,1),(66,1),(67,1),(72,1)}
        49:{1,2,5}:{(31,1),(38,1),(68,1),(103,1)}
        50:{2,3,5,7}:{(31,1),(34,1),(39,1),(69,1),(70,1),(72,1)}
        51:{3,5}:{(32,1),(40,1),(71,1)}
        52:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(41,1),(66,1),(69,1),(72,1),(73,1),(80,1),(91,1),(93,1),(97,1),(102,1),(103,1),(104,1)}
        53:{1,4,6}:{(33,1),(35,1),(67,1),(74,1)}
        54:{2,4,6}:{(34,1),(35,1),(70,1),(75,1)}
        55:{3,5,6}:{(35,1),(44,1),(74,1),(75,1),(76,1)}
        56:{2,3,6}:{(36,1),(40,1),(65,1),(77,1)}
        57:{1,2,4,7}:{(36,1),(37,1),(66,1),(77,1),(91,1)}
        58:{1,3,6}:{(38,1),(40,1),(68,1),(78,1)}
        59:{1,2,4,7}:{(38,1),(39,1),(69,1),(78,1),(93,1)}
        60:{3,7}:{(40,1),(41,1)}
        61:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(45,1),(73,1),(79,1),(80,1),(97,1)}
        62:{1,5,7}:{(42,1),(44,1),(74,1),(103,1)}
        63:{2,5,7}:{(43,1),(44,1),(75,1),(102,1)}
        64:{4,5,7}:{(44,1),(46,1),(76,1),(97,1),(104,1)}
        65:{2,3,5}:{(47,1),(51,1),(56,1),(81,1)}
        66:{1,2,5,7}:{(47,1),(48,1),(57,1),(82,1),(83,1)}
        67:{1,3,6}:{(48,1),(53,1),(83,1),(88,1)}
        68:{1,3,5}:{(49,1),(51,1),(58,1),(84,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(59,1),(85,1),(86,1)}
        70:{2,3,6}:{(50,1),(54,1),(86,1),(88,1)}
        71:{3,4}:{(51,1),(81,1),(84,1)}
        72:{3,5,7}:{(51,1),(52,1),(60,1),(87,1),(88,1),(100,1)}
        73:{1,2,4,6}:{(52,1),(53,1),(54,1),(83,1),(86,1),(88,1),(89,1),(98,1),(99,1),(101,1)}
        74:{1,5,6}:{(53,1),(55,1),(62,1)}
        75:{2,5,6}:{(54,1),(55,1),(63,1)}
        76:{4,5,6}:{(55,1),(64,1),(101,1)}
        77:{2,3,7}:{(56,1),(57,1),(60,1)}
        78:{1,3,7}:{(58,1),(59,1),(60,1)}
        79:{3,6,7}:{(60,1),(61,1),(88,1),(90,1)}
        80:{1,2,5,7}:{(61,1),(62,1),(63,1),(89,1),(90,1)}
        81:{2,4}:{(65,1),(71,1)}
        82:{2,3,5,7}:{(65,1),(66,1),(72,1),(77,1),(91,1),(92,1),(102,1)}
        83:{1,2,6}:{(66,1),(67,1),(92,1)}
        84:{1,4}:{(68,1),(71,1)}
        85:{1,3,5,7}:{(68,1),(69,1),(72,1),(78,1),(93,1),(94,1),(103,1)}
        86:{1,2,6}:{(69,1),(70,1),(94,1)}
        87:{3,4,7}:{(71,1),(72,1),(91,1),(93,1),(95,1),(97,1)}
        88:{3,6}:{(72,1),(73,1)}
        89:{1,2,5,6}:{(73,1),(74,1),(75,1),(80,1),(96,1),(102,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{2,4,7}:{(81,1),(82,1),(87,1),(98,1)}
        92:{2,3,6}:{(82,1),(83,1),(88,1),(98,1)}
        93:{1,4,7}:{(84,1),(85,1),(87,1),(99,1)}
        94:{1,3,6}:{(85,1),(86,1),(88,1),(99,1)}
        95:{3,4,6}:{(87,1),(88,1),(98,1),(99,1),(100,1),(101,1)}
        96:{3,5,6}:{(88,1),(89,1),(90,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{2,4,6}:{(91,1),(92,1),(95,1),(102,1)}
        99:{1,4,6}:{(93,1),(94,1),(95,1),(103,1)}
       100:{3,5}:{(95,1),(102,1),(103,1),(104,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{2,5}:{(98,1),(100,1)}
       103:{1,5}:{(99,1),(100,1)}
       104:{4,5}:{(100,1),(101,1)}

 296 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(2,1),(3,1)}
        2:{3,4}:{(1,1),(4,1)}
        3:{1,2,5}:{(1,1),(4,1),(5,1)}
        4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
        5:{1,2,6}:{(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:{1,2,7}:{(5,1),(10,1)}
        9:{4,6}:{(6,1),(7,1),(11,1),(12,1)}
       10:{3,7}:{(7,1),(8,1),(12,1)}
       11:{5,6}:{(9,1),(13,1)}
       12:{4,7}:{(9,1),(10,1),(13,1)}
       13:{5,7}:{(11,1),(12,1),(14,1)}
       14:{6,7}:{(13,1)}

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

 298 :   0:{1,2,5,6,7}:{(1,1),(2,1),(23,1),(24,1),(48,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(5,1),(13,1),(64,1)}
         2:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(15,1),(20,1),(63,1)}
         3:{4,6,7}:{(1,1),(6,1),(80,1)}
         4:{1,2,4,5,7}:{(2,1),(6,1),(8,1),(9,1),(23,1),(24,1),(29,1),(30,1),(31,1)}
         5:{3,6,7}:{(2,1),(9,1),(79,1)}
         6:{4,5,7}:{(3,1),(12,1),(13,1),(68,1),(92,1)}
         7:{3,4,6,7}:{(3,1),(5,1),(13,1),(14,1),(15,1),(17,1),(32,1),(38,1),(68,1),(91,1)}
         8:{1,2,4,5,6}:{(4,1),(12,1),(16,1),(33,1),(34,1),(40,1),(41,1),(42,1),(63,1),(71,1),(92,1),(103,1),(104,1)}
         9:{3,5,7}:{(4,1),(5,1),(16,1),(17,1)}
        10:{1,3,6,7}:{(5,1),(14,1),(18,1),(20,1),(38,1),(61,1),(90,1)}
        11:{2,3,6,7}:{(5,1),(15,1),(19,1),(20,1),(38,1),(62,1),(89,1)}
        12:{4,5,6}:{(6,1),(21,1),(80,1)}
        13:{3,5,7}:{(6,1),(7,1),(21,1),(23,1),(24,1),(100,1)}
        14:{1,4,6,7}:{(7,1),(10,1),(23,1),(29,1),(46,1),(99,1)}
        15:{2,4,6,7}:{(7,1),(11,1),(24,1),(30,1),(47,1),(98,1)}
        16:{3,5,6}:{(8,1),(9,1),(26,1),(79,1),(86,1),(100,1)}
        17:{3,4,7}:{(9,1),(26,1),(29,1),(30,1),(60,1)}
        18:{1,3,5,7}:{(9,1),(10,1),(23,1),(27,1),(29,1),(31,1),(52,1),(60,1)}
        19:{2,3,5,7}:{(9,1),(11,1),(24,1),(28,1),(30,1),(31,1),(52,1),(60,1)}
        20:{1,2,6,7}:{(10,1),(11,1),(31,1),(77,1),(78,1)}
        21:{3,5,6}:{(12,1),(13,1),(32,1),(33,1),(34,1)}
        22:{3,4,5,7}:{(13,1),(17,1),(32,1),(35,1),(36,1),(39,1),(67,1),(68,1),(92,1)}
        23:{1,5,7}:{(13,1),(14,1),(33,1),(104,1)}
        24:{2,5,7}:{(13,1),(15,1),(34,1),(103,1)}
        25:{1,2,4,6,7}:{(14,1),(15,1),(20,1),(37,1),(38,1),(45,1),(63,1),(68,1)}
        26:{3,4,6}:{(16,1),(17,1),(39,1),(40,1),(41,1),(74,1),(97,1)}
        27:{1,3,5,6}:{(16,1),(18,1),(33,1),(40,1),(42,1),(61,1),(64,1),(69,1),(74,1),(90,1),(96,1),(104,1)}
        28:{2,3,5,6}:{(16,1),(19,1),(34,1),(41,1),(42,1),(62,1),(64,1),(70,1),(74,1),(89,1),(95,1),(103,1)}
        29:{1,4,7}:{(17,1),(18,1),(40,1),(68,1)}
        30:{2,4,7}:{(17,1),(19,1),(41,1),(68,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(20,1),(42,1),(45,1)}
        32:{3,4,6}:{(21,1),(22,1),(46,1),(47,1),(79,1),(80,1)}
        33:{1,5,6}:{(21,1),(23,1),(46,1)}
        34:{2,5,6}:{(21,1),(24,1),(47,1)}
        35:{1,4,5,7}:{(22,1),(23,1),(29,1),(46,1),(49,1),(53,1)}
        36:{2,4,5,7}:{(22,1),(24,1),(30,1),(47,1),(50,1),(54,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(25,1),(48,1),(52,1)}
        38:{3,6,7}:{(25,1),(52,1),(60,1),(79,1)}
        39:{3,4,5}:{(26,1),(53,1),(54,1),(86,1),(100,1)}
        40:{1,4,6}:{(26,1),(27,1),(29,1),(53,1),(80,1),(102,1)}
        41:{2,4,6}:{(26,1),(28,1),(30,1),(54,1),(80,1),(101,1)}
        42:{1,2,5,6}:{(27,1),(28,1),(31,1),(57,1),(77,1),(78,1),(84,1),(85,1)}
        43:{1,3,4,7}:{(29,1),(49,1),(55,1),(58,1),(60,1),(83,1)}
        44:{2,3,4,7}:{(30,1),(50,1),(56,1),(59,1),(60,1),(83,1)}
        45:{1,2,4,7}:{(29,1),(30,1),(31,1),(57,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(35,1),(61,1)}
        47:{2,4,6}:{(32,1),(34,1),(36,1),(62,1)}
        48:{1,2,5,6}:{(33,1),(34,1),(37,1),(63,1),(64,1),(103,1),(104,1)}
        49:{1,3,5,7}:{(35,1),(43,1),(61,1),(65,1),(67,1),(69,1)}
        50:{2,3,5,7}:{(36,1),(44,1),(62,1),(66,1),(67,1),(70,1)}
        51:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(45,1),(63,1),(65,1),(66,1),(67,1),(68,1),(71,1),(92,1),(93,1),(94,1),(103,1),(104,1)}
        52:{3,5,7}:{(37,1),(38,1),(64,1),(68,1)}
        53:{1,4,5}:{(39,1),(40,1),(69,1),(92,1),(104,1)}
        54:{2,4,5}:{(39,1),(41,1),(70,1),(92,1),(103,1)}
        55:{1,3,4,6}:{(40,1),(43,1),(61,1),(69,1),(72,1),(74,1),(91,1),(97,1)}
        56:{2,3,4,6}:{(41,1),(44,1),(62,1),(70,1),(73,1),(74,1),(91,1),(97,1)}
        57:{1,2,4,6}:{(40,1),(41,1),(42,1),(45,1),(71,1),(74,1)}
        58:{1,2,4,7}:{(43,1),(65,1),(72,1),(75,1),(93,1)}
        59:{1,2,4,7}:{(44,1),(66,1),(73,1),(76,1),(94,1)}
        60:{3,7}:{(45,1),(74,1)}
        61:{1,3,6}:{(46,1),(49,1),(77,1),(79,1)}
        62:{2,3,6}:{(47,1),(50,1),(78,1),(79,1)}
        63:{1,2,4,6}:{(46,1),(47,1),(48,1),(51,1),(77,1),(78,1),(79,1),(80,1),(98,1),(99,1)}
        64:{3,5,6}:{(48,1),(52,1),(79,1),(80,1),(100,1)}
        65:{1,2,5,7}:{(49,1),(58,1),(77,1),(81,1),(84,1)}
        66:{1,2,5,7}:{(50,1),(59,1),(78,1),(82,1),(85,1)}
        67:{3,5,7}:{(51,1),(60,1),(79,1),(83,1),(86,1),(100,1)}
        68:{4,7}:{(52,1),(80,1)}
        69:{1,3,5}:{(53,1),(55,1),(84,1),(86,1),(100,1)}
        70:{2,3,5}:{(54,1),(56,1),(85,1),(86,1),(100,1)}
        71:{1,2,4,5}:{(53,1),(54,1),(57,1),(84,1),(85,1),(86,1),(101,1),(102,1)}
        72:{1,2,4,6}:{(55,1),(58,1),(77,1),(84,1),(87,1),(98,1),(101,1)}
        73:{1,2,4,6}:{(56,1),(59,1),(78,1),(85,1),(88,1),(99,1),(102,1)}
        74:{3,6}:{(57,1),(60,1),(86,1)}
        75:{2,3,7}:{(58,1),(60,1),(87,1)}
        76:{1,3,7}:{(59,1),(60,1),(88,1)}
        77:{1,2,6}:{(61,1),(65,1),(89,1)}
        78:{1,2,6}:{(62,1),(66,1),(90,1)}
        79:{3,6}:{(63,1),(67,1)}
        80:{4,6}:{(64,1),(68,1),(92,1)}
        81:{2,3,5,7}:{(65,1),(67,1),(75,1),(89,1),(93,1),(95,1),(103,1)}
        82:{1,3,5,7}:{(66,1),(67,1),(76,1),(90,1),(94,1),(96,1),(104,1)}
        83:{3,4,7}:{(67,1),(68,1),(91,1),(93,1),(94,1),(97,1)}
        84:{1,2,5}:{(69,1),(72,1),(95,1),(103,1)}
        85:{1,2,5}:{(70,1),(73,1),(96,1),(104,1)}
        86:{3,5}:{(71,1),(74,1),(97,1)}
        87:{2,3,6}:{(72,1),(74,1),(75,1),(95,1)}
        88:{1,3,6}:{(73,1),(74,1),(76,1),(96,1)}
        89:{2,3,6}:{(77,1),(79,1),(81,1),(98,1)}
        90:{1,3,6}:{(78,1),(79,1),(82,1),(99,1)}
        91:{3,4,6}:{(79,1),(80,1),(83,1),(98,1),(99,1),(100,1)}
        92:{4,5}:{(80,1),(100,1)}
        93:{2,4,7}:{(81,1),(83,1),(98,1),(101,1)}
        94:{1,4,7}:{(82,1),(83,1),(99,1),(102,1)}
        95:{2,3,5}:{(84,1),(86,1),(87,1),(101,1)}
        96:{1,3,5}:{(85,1),(86,1),(88,1),(102,1)}
        97:{3,4}:{(86,1),(101,1),(102,1)}
        98:{2,4,6}:{(89,1),(91,1),(93,1),(103,1)}
        99:{1,4,6}:{(90,1),(91,1),(94,1),(104,1)}
       100:{3,5}:{(91,1),(92,1),(103,1),(104,1)}
       101:{2,4}:{(95,1),(97,1)}
       102:{1,4}:{(96,1),(97,1)}
       103:{2,5}:{(98,1),(100,1)}
       104:{1,5}:{(99,1),(100,1)}

 299 :  0:{2,3,4}:{(1,1),(2,1),(22,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1),(13,1)}
        2:{2,3,5}:{(0,1),(4,1),(5,1),(6,1),(15,1)}
        3:{1,3}:{(1,1)}
        4:{1,2,5}:{(1,1),(2,1),(7,1),(9,1)}
        5:{2,4,5}:{(2,1),(10,1),(11,1)}
        6:{2,3,6}:{(2,1),(9,1),(11,1),(12,1),(27,1)}
        7:{1,3,5}:{(3,1),(4,1),(13,1),(14,1),(15,1),(37,1)}
        8:{1,2,4,5}:{(4,1),(5,1),(13,1),(15,1),(16,1),(18,1),(35,1),(37,1),(39,1),(65,1),(67,1)}
        9:{1,2,6}:{(4,1),(6,1),(14,1),(17,1)}
       10:{3,4,5}:{(5,1),(15,1),(18,1),(19,1),(67,1)}
       11:{2,4,6}:{(5,1),(6,1),(19,1),(20,1),(21,1)}
       12:{2,3,7}:{(6,1),(17,1),(21,1),(43,1)}
       13:{1,4}:{(7,1),(22,1)}
       14:{1,3,6}:{(7,1),(9,1),(23,1),(24,1),(27,1)}
       15:{3,5}:{(8,1),(22,1),(27,1)}
       16:{1,2,4,6}:{(8,1),(9,1),(11,1),(23,1),(27,1),(28,1),(29,1),(30,1),(51,1),(55,1),(58,1)}
       17:{1,2,7}:{(9,1),(12,1),(24,1)}
       18:{1,4,5}:{(10,1),(25,1),(30,1)}
       19:{3,4,6}:{(10,1),(11,1),(27,1),(30,1),(31,1),(32,1),(58,1)}
       20:{2,5,6}:{(11,1),(31,1),(33,1)}
       21:{2,4,7}:{(11,1),(12,1),(32,1),(33,1)}
       22:{3,4}:{(13,1),(15,1),(35,1)}
       23:{1,4,6}:{(13,1),(14,1),(36,1),(37,1),(38,1),(69,1)}
       24:{1,3,7}:{(14,1),(17,1),(38,1),(43,1)}
       25:{1,3,5}:{(15,1),(18,1),(34,1),(39,1),(40,1)}
       26:{2,3,5}:{(15,1),(35,1),(39,1),(41,1),(64,1),(65,1)}
       27:{3,6}:{(15,1),(16,1),(43,1)}
       28:{1,2,5,6}:{(16,1),(20,1),(37,1),(42,1),(44,1),(45,1),(65,1),(69,1),(80,1)}
       29:{1,2,4,7}:{(16,1),(17,1),(21,1),(38,1),(43,1),(44,1),(46,1),(66,1),(70,1),(71,1)}
       30:{1,4,6}:{(18,1),(19,1),(40,1),(45,1),(46,1)}
       31:{3,5,6}:{(19,1),(20,1),(45,1),(47,1),(48,1)}
       32:{3,4,7}:{(19,1),(21,1),(43,1),(46,1),(48,1),(71,1)}
       33:{2,5,7}:{(20,1),(21,1),(48,1),(49,1)}
       34:{1,3,4}:{(22,1),(25,1),(50,1)}
       35:{2,4}:{(22,1),(26,1)}
       36:{3,4,6}:{(22,1),(23,1),(27,1),(51,1),(52,1),(53,1),(58,1),(77,1)}
       37:{1,5}:{(23,1),(52,1)}
       38:{1,4,7}:{(23,1),(24,1),(53,1),(54,1)}
       39:{1,2,5}:{(25,1),(26,1),(50,1),(55,1)}
       40:{1,3,6}:{(25,1),(27,1),(30,1),(55,1),(56,1)}
       41:{2,3,6}:{(26,1),(27,1),(51,1),(55,1),(57,1)}
       42:{3,5,6}:{(27,1),(28,1),(52,1),(58,1),(59,1),(77,1),(83,1)}
       43:{3,7}:{(27,1),(29,1)}
       44:{1,2,5,7}:{(28,1),(29,1),(33,1),(54,1),(59,1),(60,1),(61,1),(75,1)}
       45:{1,5,6}:{(30,1),(31,1),(61,1)}
       46:{1,4,7}:{(30,1),(32,1),(56,1),(61,1)}
       47:{4,5,6}:{(31,1),(58,1),(62,1),(83,1)}
       48:{3,5,7}:{(31,1),(32,1),(33,1),(61,1),(62,1),(63,1)}
       49:{2,6,7}:{(33,1),(63,1)}
       50:{1,2,4}:{(34,1),(35,1),(39,1),(64,1)}
       51:{2,4,6}:{(35,1),(36,1),(41,1),(65,1),(66,1),(80,1)}
       52:{3,5}:{(36,1),(37,1),(65,1),(67,1)}
       53:{3,4,7}:{(36,1),(38,1),(43,1),(66,1),(68,1),(71,1)}
       54:{1,5,7}:{(37,1),(38,1),(68,1),(69,1)}
       55:{1,2,6}:{(39,1),(40,1),(41,1),(70,1)}
       56:{1,3,7}:{(40,1),(43,1),(46,1),(70,1)}
       57:{2,3,7}:{(41,1),(43,1),(66,1),(70,1)}
       58:{4,6}:{(42,1),(67,1),(71,1)}
       59:{3,5,7}:{(42,1),(43,1),(44,1),(71,1),(72,1),(82,1)}
       60:{1,2,6,7}:{(44,1),(49,1),(69,1),(72,1),(73,1),(80,1)}
       61:{1,5,7}:{(45,1),(46,1),(48,1),(73,1)}
       62:{4,5,7}:{(47,1),(48,1),(71,1),(74,1),(82,1)}
       63:{3,6,7}:{(48,1),(49,1),(73,1),(74,1)}
       64:{2,3}:{(50,1)}
       65:{2,5}:{(51,1),(52,1)}
       66:{2,4,7}:{(51,1),(53,1),(57,1),(75,1)}
       67:{4,5}:{(52,1),(58,1)}
       68:{3,5,7}:{(52,1),(53,1),(54,1),(75,1),(76,1),(77,1)}
       69:{1,6}:{(54,1),(77,1)}
       70:{1,2,7}:{(55,1),(56,1),(57,1)}
       71:{4,7}:{(58,1),(59,1)}
       72:{3,6,7}:{(59,1),(60,1),(77,1),(78,1)}
       73:{1,6,7}:{(61,1),(63,1)}
       74:{4,6,7}:{(62,1),(63,1),(79,1)}
       75:{2,5,7}:{(65,1),(66,1),(68,1),(80,1)}
       76:{4,5,7}:{(67,1),(68,1),(71,1),(81,1),(82,1)}
       77:{3,6}:{(68,1),(69,1),(80,1),(81,1)}
       78:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       79:{5,6,7}:{(74,1),(82,1)}
       80:{2,6}:{(75,1),(77,1)}
       81:{4,6}:{(76,1),(77,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 300 :   0:{1,3,5}:{(3,1),(4,1),(5,1),(23,1),(25,1),(30,1),(69,1)}
         1:{2,3,5}:{(3,1),(6,1),(7,1),(8,1),(25,1),(34,1),(69,1)}
         2:{2,4,5}:{(6,1),(8,1),(9,1),(34,1),(79,1)}
         3:{1,2,5}:{(0,1),(1,1),(11,1),(12,1),(19,1),(40,1)}
         4:{1,4}:{(0,1),(13,1),(96,1)}
         5:{1,3,6}:{(0,1),(12,1),(14,1),(15,1),(41,1),(46,1),(151,1)}
         6:{2,4}:{(1,1),(16,1),(96,1)}
         7:{2,3,6}:{(1,1),(12,1),(17,1),(18,1),(20,1),(46,1),(152,1)}
         8:{3,5}:{(2,1),(16,1),(19,1),(20,1)}
         9:{2,4,6}:{(2,1),(20,1),(21,1),(22,1),(59,1)}
        10:{1,4,5}:{(4,1),(23,1),(24,1),(30,1),(74,1)}
        11:{1,2,4}:{(3,1),(4,1),(6,1),(25,1),(28,1),(32,1),(66,1)}
        12:{1,2,6}:{(3,1),(5,1),(7,1),(27,1),(36,1),(62,1),(153,1)}
        13:{3,4}:{(4,1),(23,1),(25,1),(28,1)}
        14:{1,4,6}:{(4,1),(5,1),(29,1),(30,1),(31,1),(76,1),(143,1),(148,1)}
        15:{1,3,7}:{(5,1),(27,1),(31,1),(64,1),(70,1)}
        16:{3,4}:{(6,1),(8,1),(25,1),(32,1)}
        17:{2,4,6}:{(6,1),(7,1),(33,1),(34,1),(35,1),(81,1),(127,1),(147,1)}
        18:{2,3,7}:{(7,1),(27,1),(35,1),(38,1),(70,1)}
        19:{1,5}:{(8,1),(32,1),(36,1)}
        20:{3,6}:{(8,1),(9,1),(36,1),(38,1)}
        21:{2,5,6}:{(9,1),(34,1),(37,1),(39,1),(81,1),(127,1)}
        22:{2,4,7}:{(9,1),(38,1),(39,1),(84,1)}
        23:{3,5}:{(10,1),(13,1),(40,1),(41,1)}
        24:{1,4,6}:{(10,1),(41,1),(42,1),(43,1),(88,1)}
        25:{3}:{(11,1)}
        26:{1,2,4,6}:{(11,1),(12,1),(14,1),(17,1),(46,1),(47,1),(48,1),(49,1),(53,1),(91,1),(96,1),(98,1),(134,1),(137,1)}
        27:{1,2,7}:{(12,1),(15,1),(18,1),(58,1),(87,1)}
        28:{2,4}:{(13,1),(40,1),(45,1)}
        29:{3,4,6}:{(13,1),(14,1),(41,1),(46,1),(49,1),(50,1),(51,1),(88,1),(96,1),(102,1),(130,1),(136,1),(137,1)}
        30:{1,5}:{(14,1),(50,1)}
        31:{1,4,7}:{(14,1),(15,1),(51,1),(52,1),(150,1)}
        32:{1,4}:{(16,1),(19,1),(44,1)}
        33:{3,4,6}:{(16,1),(17,1),(20,1),(46,1),(53,1),(54,1),(55,1),(59,1),(96,1),(106,1),(107,1),(135,1),(137,1)}
        34:{2,5}:{(17,1),(54,1)}
        35:{2,4,7}:{(17,1),(18,1),(55,1),(56,1),(142,1)}
        36:{1,6}:{(19,1),(20,1),(58,1)}
        37:{3,5,6}:{(20,1),(21,1),(54,1),(57,1),(59,1),(60,1),(106,1),(107,1),(141,1)}
        38:{3,7}:{(20,1),(22,1),(58,1)}
        39:{2,5,7}:{(21,1),(22,1),(60,1),(61,1),(142,1)}
        40:{2,5}:{(23,1),(28,1),(62,1)}
        41:{3,6}:{(23,1),(24,1),(62,1),(64,1)}
        42:{1,5,6}:{(24,1),(30,1),(63,1),(65,1),(76,1),(143,1)}
        43:{1,4,7}:{(24,1),(64,1),(65,1),(113,1)}
        44:{1,3}:{(25,1),(32,1),(66,1)}
        45:{2,3}:{(25,1),(28,1),(66,1)}
        46:{3,6}:{(25,1),(26,1),(69,1),(70,1),(146,1)}
        47:{1,2,5}:{(26,1),(30,1),(34,1),(69,1),(72,1),(77,1),(149,1)}
        48:{1,2,4,7}:{(26,1),(27,1),(31,1),(35,1),(70,1),(71,1),(73,1),(78,1),(116,1),(119,1)}
        49:{2,4,6}:{(28,1),(29,1),(62,1),(68,1),(72,1),(73,1),(118,1),(122,1)}
        50:{3,5}:{(29,1),(30,1),(72,1),(74,1),(149,1)}
        51:{3,4,7}:{(29,1),(31,1),(64,1),(70,1),(73,1),(75,1),(113,1),(119,1),(144,1)}
        52:{1,5,7}:{(30,1),(31,1),(75,1),(76,1)}
        53:{1,4,6}:{(32,1),(33,1),(36,1),(67,1),(77,1),(78,1),(117,1),(125,1)}
        54:{3,5}:{(33,1),(34,1),(77,1),(79,1),(149,1)}
        55:{3,4,7}:{(33,1),(35,1),(38,1),(70,1),(78,1),(80,1),(84,1),(119,1),(128,1)}
        56:{2,5,7}:{(34,1),(35,1),(80,1),(81,1)}
        57:{1,5,6}:{(36,1),(37,1),(77,1),(82,1),(83,1),(125,1)}
        58:{1,7}:{(36,1),(38,1)}
        59:{4,6}:{(37,1),(79,1),(84,1)}
        60:{3,5,7}:{(37,1),(38,1),(39,1),(83,1),(84,1),(85,1),(128,1),(129,1)}
        61:{2,6,7}:{(39,1),(81,1),(85,1)}
        62:{2,6}:{(40,1),(41,1),(87,1)}
        63:{3,5,6}:{(41,1),(42,1),(50,1),(86,1),(88,1),(89,1),(102,1),(130,1),(139,1)}
        64:{3,7}:{(41,1),(43,1),(87,1)}
        65:{1,5,7}:{(42,1),(43,1),(89,1),(90,1),(150,1)}
        66:{1,2}:{(44,1),(45,1)}
        67:{1,3,6}:{(44,1),(46,1),(53,1),(91,1),(92,1),(93,1),(107,1)}
        68:{2,3,6}:{(45,1),(46,1),(49,1),(91,1),(94,1),(95,1),(130,1)}
        69:{3,5}:{(46,1),(47,1),(96,1)}
        70:{3,7}:{(46,1),(48,1)}
        71:{1,2,5,7}:{(47,1),(48,1),(52,1),(56,1),(97,1),(98,1),(100,1),(104,1)}
        72:{2,5}:{(49,1),(50,1)}
        73:{2,4,7}:{(49,1),(51,1),(87,1),(95,1),(100,1)}
        74:{4,5}:{(50,1),(88,1),(96,1)}
        75:{3,5,7}:{(50,1),(51,1),(52,1),(100,1),(101,1),(102,1)}
        76:{1,6}:{(52,1),(102,1)}
        77:{1,5}:{(53,1),(54,1)}
        78:{1,4,7}:{(53,1),(55,1),(58,1),(93,1),(104,1)}
        79:{4,5}:{(54,1),(59,1),(96,1)}
        80:{3,5,7}:{(54,1),(55,1),(56,1),(104,1),(105,1),(106,1)}
        81:{2,6}:{(56,1),(106,1)}
        82:{1,4,6}:{(57,1),(59,1),(103,1),(107,1),(108,1)}
        83:{1,5,7}:{(57,1),(58,1),(60,1),(108,1),(109,1)}
        84:{4,7}:{(59,1),(60,1)}
        85:{3,6,7}:{(60,1),(61,1),(106,1),(109,1),(110,1)}
        86:{2,5,6}:{(62,1),(63,1),(72,1),(111,1),(112,1),(122,1)}
        87:{2,7}:{(62,1),(64,1)}
        88:{4,6}:{(63,1),(74,1),(113,1)}
        89:{3,5,7}:{(63,1),(64,1),(65,1),(112,1),(113,1),(114,1),(144,1),(145,1)}
        90:{1,6,7}:{(65,1),(76,1),(114,1)}
        91:{1,2,6}:{(66,1),(67,1),(68,1),(115,1),(116,1),(127,1),(143,1)}
        92:{1,3,5}:{(67,1),(69,1),(77,1),(115,1),(117,1),(124,1),(146,1)}
        93:{1,3,7}:{(67,1),(70,1),(78,1),(116,1),(128,1)}
        94:{2,3,5}:{(68,1),(69,1),(72,1),(115,1),(118,1),(121,1),(146,1)}
        95:{2,3,7}:{(68,1),(70,1),(73,1),(116,1),(144,1)}
        96:{4}:{(69,1)}
        97:{3,5,7}:{(69,1),(70,1),(71,1),(119,1),(120,1),(149,1)}
        98:{1,2,6}:{(71,1),(76,1),(81,1),(120,1),(122,1),(125,1)}
        99:{2,4,5}:{(72,1),(74,1),(111,1),(118,1),(121,1)}
       100:{2,5,7}:{(72,1),(73,1),(75,1),(122,1)}
       101:{4,5,7}:{(74,1),(75,1),(113,1),(119,1),(123,1),(145,1),(149,1)}
       102:{3,6}:{(75,1),(76,1),(122,1),(123,1)}
       103:{1,4,5}:{(77,1),(79,1),(82,1),(117,1),(124,1)}
       104:{1,5,7}:{(77,1),(78,1),(80,1),(125,1)}
       105:{4,5,7}:{(79,1),(80,1),(84,1),(119,1),(126,1),(129,1),(149,1)}
       106:{3,6}:{(80,1),(81,1),(125,1),(126,1)}
       107:{3,6}:{(82,1),(124,1),(127,1),(128,1)}
       108:{1,4,7}:{(82,1),(83,1),(84,1),(128,1)}
       109:{1,6,7}:{(83,1),(85,1),(125,1)}
       110:{4,6,7}:{(84,1),(85,1),(126,1),(129,1)}
       111:{2,4,6}:{(86,1),(88,1),(99,1),(130,1),(131,1)}
       112:{2,5,7}:{(86,1),(87,1),(89,1),(131,1),(132,1)}
       113:{4,7}:{(88,1),(89,1)}
       114:{3,6,7}:{(89,1),(90,1),(102,1),(132,1),(133,1)}
       115:{1,2,5}:{(91,1),(92,1),(94,1),(134,1),(138,1),(140,1)}
       116:{1,2,7}:{(91,1),(93,1),(95,1),(142,1),(150,1)}
       117:{1,4}:{(92,1),(96,1),(135,1)}
       118:{2,4}:{(94,1),(96,1),(136,1)}
       119:{4,7}:{(96,1),(97,1),(137,1)}
       120:{3,6}:{(97,1),(98,1),(137,1)}
       121:{3,5}:{(99,1),(130,1),(136,1),(138,1)}
       122:{2,6}:{(100,1),(102,1)}
       123:{4,6}:{(101,1),(102,1),(139,1)}
       124:{3,5}:{(103,1),(107,1),(135,1),(140,1)}
       125:{1,6}:{(104,1),(106,1)}
       126:{4,6}:{(105,1),(106,1),(141,1)}
       127:{2,6}:{(107,1),(140,1),(142,1)}
       128:{3,7}:{(107,1),(108,1),(142,1)}
       129:{5,7}:{(110,1),(141,1)}
       130:{3,6}:{(111,1),(121,1),(143,1),(144,1)}
       131:{2,4,7}:{(111,1),(112,1),(113,1),(144,1)}
       132:{2,6,7}:{(112,1),(114,1),(122,1)}
       133:{4,6,7}:{(113,1),(114,1),(123,1),(145,1)}
       134:{1,2,4}:{(115,1),(117,1),(118,1),(146,1),(147,1),(148,1),(153,1)}
       135:{3,4}:{(117,1),(124,1),(146,1),(147,1)}
       136:{3,4}:{(118,1),(121,1),(146,1),(148,1)}
       137:{4,6}:{(119,1),(120,1),(149,1)}
       138:{1,5}:{(121,1),(143,1),(148,1)}
       139:{5,6}:{(123,1),(145,1),(149,1)}
       140:{2,5}:{(124,1),(127,1),(147,1)}
       141:{5,6}:{(126,1),(129,1),(149,1)}
       142:{2,7}:{(127,1),(128,1)}
       143:{1,6}:{(130,1),(138,1),(150,1)}
       144:{3,7}:{(130,1),(131,1),(150,1)}
       145:{5,7}:{(133,1),(139,1)}
       146:{3}:{(134,1)}
       147:{2,4}:{(135,1),(140,1),(152,1)}
       148:{1,4}:{(136,1),(138,1),(151,1)}
       149:{5}:{(137,1)}
       150:{1,7}:{(143,1),(144,1)}
       151:{1,3}:{(146,1),(148,1),(153,1)}
       152:{2,3}:{(146,1),(147,1),(153,1)}
       153:{1,2}:{(151,1),(152,1)}

 301 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(12,1),(17,1),(33,1),(35,1),(37,1),(44,1),(63,1),(65,1),(68,1),(71,1),(101,1),(103,1)}
         1:{3,5,7}:{(0,1),(3,1),(6,1),(22,1),(81,1),(88,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(8,1),(19,1),(20,1),(23,1),(29,1),(82,1),(85,1),(115,1),(116,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(11,1),(30,1),(44,1),(95,1)}
         4:{1,3,5,7}:{(1,1),(9,1),(12,1),(13,1),(30,1),(33,1),(61,1),(98,1),(103,1),(104,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(12,1),(14,1),(30,1),(35,1),(61,1),(99,1),(101,1),(105,1)}
         6:{3,6}:{(1,1),(2,1)}
         7:{1,2,4,6,7}:{(2,1),(15,1),(17,1),(32,1),(34,1),(38,1),(44,1),(71,1),(134,1)}
         8:{1,2,5,6}:{(2,1),(16,1),(17,1),(33,1),(35,1),(64,1),(67,1)}
         9:{1,4,7}:{(3,1),(4,1),(19,1),(78,1),(109,1)}
        10:{2,4,7}:{(3,1),(5,1),(20,1),(78,1),(110,1)}
        11:{3,4,6}:{(3,1),(6,1),(19,1),(20,1),(22,1),(29,1),(45,1),(78,1)}
        12:{1,2,5,7}:{(4,1),(5,1),(18,1),(23,1),(47,1),(114,1),(117,1)}
        13:{1,3,6}:{(4,1),(6,1),(19,1),(23,1),(45,1),(116,1)}
        14:{2,3,6}:{(5,1),(6,1),(20,1),(23,1),(45,1),(115,1)}
        15:{3,6,7}:{(6,1),(7,1),(28,1),(88,1),(137,1)}
        16:{3,5,6}:{(6,1),(8,1),(22,1),(28,1),(29,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(28,1),(48,1),(50,1),(136,1)}
        18:{1,2,4,7}:{(9,1),(10,1),(12,1),(30,1),(31,1),(122,1)}
        19:{1,4,6}:{(9,1),(11,1),(13,1),(33,1)}
        20:{2,4,6}:{(10,1),(11,1),(14,1),(35,1)}
        21:{3,4,6,7}:{(11,1),(15,1),(32,1),(34,1),(36,1),(44,1),(60,1),(70,1),(73,1),(75,1),(94,1),(100,1),(102,1),(119,1)}
        22:{3,5}:{(11,1),(33,1),(35,1),(37,1)}
        23:{1,2,6}:{(12,1),(13,1),(14,1)}
        24:{1,3,6,7}:{(13,1),(15,1),(32,1),(38,1),(40,1),(60,1),(100,1),(104,1),(123,1)}
        25:{1,3,5,6}:{(13,1),(16,1),(33,1),(39,1),(40,1),(41,1),(61,1),(64,1),(66,1),(72,1),(93,1),(98,1),(100,1),(123,1),(132,1),(138,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(34,1),(38,1),(42,1),(60,1),(102,1),(105,1),(124,1)}
        27:{2,3,5,6}:{(14,1),(16,1),(35,1),(39,1),(42,1),(43,1),(61,1),(67,1),(69,1),(72,1),(93,1),(99,1),(102,1),(124,1),(133,1),(138,1)}
        28:{3,5,7}:{(15,1),(16,1),(17,1),(44,1),(138,1)}
        29:{4,6}:{(16,1),(37,1),(44,1)}
        30:{3,7}:{(18,1),(45,1),(130,1)}
        31:{1,2,4,6}:{(18,1),(19,1),(20,1),(23,1),(45,1),(47,1),(78,1)}
        32:{1,4,6,7}:{(19,1),(21,1),(24,1),(48,1),(56,1),(82,1),(92,1),(116,1),(127,1)}
        33:{1,5}:{(19,1),(22,1)}
        34:{2,4,6,7}:{(20,1),(21,1),(26,1),(50,1),(58,1),(85,1),(91,1),(115,1),(128,1)}
        35:{2,5}:{(20,1),(22,1)}
        36:{3,5,7}:{(21,1),(22,1),(48,1),(50,1),(52,1),(53,1),(126,1)}
        37:{4,5}:{(22,1),(29,1),(78,1)}
        38:{1,2,6,7}:{(23,1),(24,1),(26,1),(54,1),(115,1),(116,1),(117,1),(131,1)}
        39:{1,2,5,6}:{(23,1),(25,1),(27,1),(47,1),(54,1),(55,1),(84,1),(87,1),(114,1),(115,1),(116,1),(131,1),(136,1)}
        40:{1,3,5,7}:{(24,1),(25,1),(28,1),(48,1),(54,1),(56,1),(77,1),(83,1),(88,1)}
        41:{1,4,6}:{(25,1),(29,1),(49,1),(56,1),(57,1),(78,1),(107,1),(109,1),(139,1)}
        42:{2,3,5,7}:{(26,1),(27,1),(28,1),(50,1),(54,1),(58,1),(77,1),(86,1),(88,1)}
        43:{2,4,6}:{(27,1),(29,1),(51,1),(58,1),(59,1),(78,1),(107,1),(110,1),(139,1)}
        44:{4,7}:{(28,1),(29,1),(139,1)}
        45:{3,6}:{(30,1),(31,1),(61,1)}
        46:{1,2,4,6,7}:{(31,1),(32,1),(34,1),(38,1),(60,1),(62,1),(71,1),(94,1),(96,1)}
        47:{1,2,5}:{(31,1),(33,1),(35,1),(61,1)}
        48:{1,5,7}:{(32,1),(33,1),(36,1),(64,1),(132,1)}
        49:{1,4,5}:{(33,1),(37,1),(41,1),(66,1),(118,1),(132,1)}
        50:{2,5,7}:{(34,1),(35,1),(36,1),(67,1),(133,1)}
        51:{2,4,5}:{(35,1),(37,1),(43,1),(69,1),(118,1),(133,1)}
        52:{3,5,6}:{(36,1),(64,1),(67,1),(70,1),(100,1),(102,1)}
        53:{4,5,7}:{(36,1),(37,1),(44,1),(70,1),(94,1),(118,1)}
        54:{1,2,5,7}:{(38,1),(39,1),(40,1),(42,1),(71,1),(101,1),(103,1)}
        55:{1,2,4,6}:{(39,1),(41,1),(43,1),(63,1),(71,1),(72,1),(74,1),(76,1),(106,1),(122,1)}
        56:{1,4,7}:{(40,1),(41,1),(44,1),(73,1),(94,1)}
        57:{3,4,6}:{(41,1),(66,1),(72,1),(73,1),(74,1),(95,1),(100,1)}
        58:{2,4,7}:{(42,1),(43,1),(44,1),(75,1),(94,1)}
        59:{3,4,6}:{(43,1),(69,1),(72,1),(75,1),(76,1),(95,1),(102,1)}
        60:{3,6,7}:{(45,1),(46,1),(77,1),(88,1),(111,1)}
        61:{3,5}:{(45,1),(47,1),(78,1)}
        62:{1,2,5,7}:{(46,1),(47,1),(48,1),(50,1),(77,1),(79,1)}
        63:{1,2,4,5}:{(47,1),(49,1),(51,1),(55,1),(78,1),(81,1),(84,1),(87,1),(109,1),(110,1),(114,1),(136,1),(139,1)}
        64:{1,5,6}:{(48,1),(52,1),(82,1),(116,1)}
        65:{1,4,5,7}:{(48,1),(49,1),(53,1),(56,1),(82,1),(83,1)}
        66:{3,5}:{(49,1),(57,1),(84,1)}
        67:{2,5,6}:{(50,1),(52,1),(85,1),(115,1)}
        68:{2,4,5,7}:{(50,1),(51,1),(53,1),(58,1),(85,1),(86,1)}
        69:{3,5}:{(51,1),(59,1),(87,1)}
        70:{4,6}:{(52,1),(53,1)}
        71:{1,2,4,7}:{(54,1),(55,1),(56,1),(58,1),(88,1),(91,1),(92,1),(117,1)}
        72:{3,6}:{(55,1),(81,1),(88,1),(130,1)}
        73:{3,4,7}:{(56,1),(57,1),(83,1),(88,1),(91,1)}
        74:{2,4,6}:{(57,1),(84,1),(90,1),(91,1),(110,1),(115,1)}
        75:{3,4,7}:{(58,1),(59,1),(86,1),(88,1),(92,1)}
        76:{1,4,6}:{(59,1),(87,1),(89,1),(92,1),(109,1),(116,1)}
        77:{3,5,7}:{(60,1),(61,1),(62,1),(93,1),(94,1)}
        78:{4}:{(61,1)}
        79:{1,2,5,6}:{(62,1),(64,1),(67,1),(93,1),(96,1),(132,1),(133,1)}
        80:{1,2,4,5,7}:{(62,1),(63,1),(65,1),(68,1),(71,1),(94,1),(96,1),(97,1),(101,1),(103,1),(118,1),(120,1),(121,1),(125,1),(132,1),(133,1)}
        81:{3,5}:{(63,1),(72,1),(95,1)}
        82:{1,4,6}:{(64,1),(65,1),(70,1),(100,1)}
        83:{3,5,7}:{(65,1),(66,1),(73,1),(100,1),(101,1)}
        84:{2,5}:{(66,1),(74,1)}
        85:{2,4,6}:{(67,1),(68,1),(70,1),(102,1)}
        86:{3,5,7}:{(68,1),(69,1),(75,1),(102,1),(103,1)}
        87:{1,5}:{(69,1),(76,1)}
        88:{3,7}:{(71,1),(72,1)}
        89:{1,3,6}:{(72,1),(76,1),(98,1),(104,1),(106,1)}
        90:{2,3,6}:{(72,1),(74,1),(99,1),(105,1),(106,1)}
        91:{2,4,7}:{(73,1),(74,1),(101,1),(105,1)}
        92:{1,4,7}:{(75,1),(76,1),(103,1),(104,1)}
        93:{3,5,6}:{(77,1),(79,1),(107,1),(111,1),(126,1)}
        94:{4,7}:{(77,1),(78,1),(107,1)}
        95:{3,4}:{(78,1),(81,1),(109,1),(110,1),(130,1),(139,1)}
        96:{1,2,4,6}:{(79,1),(80,1),(82,1),(85,1),(107,1),(111,1),(115,1),(116,1),(127,1),(128,1),(131,1)}
        97:{3,5,7}:{(80,1),(81,1),(88,1),(108,1),(111,1),(126,1)}
        98:{1,3,5}:{(81,1),(87,1),(89,1),(109,1),(114,1),(130,1)}
        99:{2,3,5}:{(81,1),(84,1),(90,1),(110,1),(114,1),(130,1)}
       100:{3,6}:{(82,1),(83,1),(115,1)}
       101:{2,5,7}:{(83,1),(84,1),(91,1),(115,1)}
       102:{3,6}:{(85,1),(86,1),(116,1)}
       103:{1,5,7}:{(86,1),(87,1),(92,1),(116,1)}
       104:{1,3,7}:{(88,1),(89,1),(92,1),(117,1)}
       105:{2,3,7}:{(88,1),(90,1),(91,1),(117,1)}
       106:{1,2,6}:{(89,1),(90,1),(114,1),(117,1)}
       107:{4,6}:{(93,1),(94,1),(118,1)}
       108:{3,4,7}:{(94,1),(95,1),(97,1),(119,1),(120,1),(121,1),(135,1)}
       109:{1,4}:{(95,1),(98,1)}
       110:{2,4}:{(95,1),(99,1)}
       111:{3,6}:{(96,1),(97,1)}
       112:{1,3,5,7}:{(97,1),(98,1),(103,1),(104,1),(120,1),(123,1),(125,1),(132,1),(135,1),(138,1)}
       113:{2,3,5,7}:{(97,1),(99,1),(101,1),(105,1),(121,1),(124,1),(125,1),(133,1),(135,1),(138,1)}
       114:{1,2,5}:{(98,1),(99,1),(106,1),(122,1)}
       115:{2,6}:{(100,1),(101,1)}
       116:{1,6}:{(102,1),(103,1)}
       117:{1,2,7}:{(104,1),(105,1),(106,1)}
       118:{4,5}:{(107,1),(126,1),(139,1)}
       119:{3,4,6}:{(107,1),(108,1),(111,1),(126,1),(127,1),(128,1),(137,1),(139,1)}
       120:{1,4,7}:{(108,1),(109,1),(112,1),(127,1),(139,1)}
       121:{2,4,7}:{(108,1),(110,1),(113,1),(128,1),(139,1)}
       122:{1,2,4}:{(109,1),(110,1),(114,1),(130,1)}
       123:{1,3,6}:{(111,1),(112,1),(116,1),(127,1),(131,1),(137,1)}
       124:{2,3,6}:{(111,1),(113,1),(115,1),(128,1),(131,1),(137,1)}
       125:{1,2,5,7}:{(112,1),(113,1),(114,1),(117,1),(129,1),(131,1),(136,1)}
       126:{3,5}:{(118,1),(119,1),(132,1),(133,1)}
       127:{1,4,6}:{(119,1),(120,1),(123,1),(132,1)}
       128:{2,4,6}:{(119,1),(121,1),(124,1),(133,1)}
       129:{1,2,4,7}:{(120,1),(121,1),(122,1),(125,1),(134,1),(135,1)}
       130:{3}:{(122,1)}
       131:{1,2,6}:{(123,1),(124,1),(125,1)}
       132:{1,5}:{(126,1),(127,1)}
       133:{2,5}:{(126,1),(128,1)}
       134:{1,2,4,6}:{(127,1),(128,1),(129,1),(131,1),(136,1),(137,1),(139,1)}
       135:{3,7}:{(129,1),(130,1),(137,1)}
       136:{1,2,5}:{(132,1),(133,1),(134,1),(138,1)}
       137:{3,6}:{(134,1),(135,1),(138,1)}
       138:{3,5}:{(136,1),(137,1),(139,1)}
       139:{4}:{(138,1)}

 302 :  0:{1,2,5,6}:{(2,1),(3,1),(4,1),(34,1),(35,1),(53,1),(54,1)}
        1:{1,2,4,5}:{(3,1),(5,1),(14,1),(18,1),(19,1),(23,1),(34,1),(35,1)}
        2:{3,5,6}:{(0,1),(6,1),(7,1),(9,1),(24,1),(47,1),(48,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(6,1),(9,1),(10,1),(26,1),(27,1),(31,1)}
        4:{1,2,5,7}:{(0,1),(7,1),(10,1),(11,1),(45,1),(46,1)}
        5:{3,5}:{(1,1),(8,1),(9,1)}
        6:{4,6}:{(2,1),(14,1),(16,1)}
        7:{3,5,7}:{(2,1),(4,1),(16,1),(17,1),(22,1),(41,1)}
        8:{3,4}:{(5,1),(18,1),(19,1),(42,1)}
        9:{3,6}:{(3,1),(5,1),(22,1)}
       10:{1,2,4,7}:{(3,1),(4,1),(16,1),(22,1),(39,1),(40,1),(43,1)}
       11:{1,2,6,7}:{(4,1),(17,1),(53,1),(54,1)}
       12:{1,3,5}:{(5,1),(18,1),(20,1),(23,1),(34,1),(42,1),(51,1)}
       13:{2,3,5}:{(5,1),(19,1),(21,1),(23,1),(35,1),(42,1),(51,1)}
       14:{4,5}:{(6,1),(24,1),(56,1)}
       15:{3,4,6}:{(6,1),(8,1),(9,1),(24,1),(26,1),(27,1),(28,1),(47,1),(49,1),(56,1),(61,1)}
       16:{4,7}:{(6,1),(7,1)}
       17:{3,6,7}:{(7,1),(11,1),(29,1),(47,1)}
       18:{1,4}:{(8,1),(12,1),(56,1)}
       19:{2,4}:{(8,1),(13,1),(56,1)}
       20:{1,3,6}:{(9,1),(12,1),(26,1),(31,1),(32,1),(49,1)}
       21:{2,3,6}:{(9,1),(13,1),(27,1),(31,1),(33,1),(49,1)}
       22:{3,7}:{(9,1),(10,1)}
       23:{1,2,5}:{(12,1),(13,1),(30,1),(31,1)}
       24:{3,5}:{(14,1),(15,1),(34,1),(35,1),(62,1)}
       25:{4,5,7}:{(14,1),(16,1),(36,1),(37,1),(41,1),(59,1),(62,1)}
       26:{1,4,6}:{(15,1),(18,1),(20,1),(34,1),(39,1),(53,1)}
       27:{2,4,6}:{(15,1),(19,1),(21,1),(35,1),(40,1),(54,1)}
       28:{3,4,7}:{(15,1),(16,1),(22,1),(36,1),(39,1),(40,1),(55,1),(59,1)}
       29:{4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
       30:{1,2,4}:{(18,1),(19,1),(23,1),(42,1)}
       31:{1,2,6}:{(20,1),(21,1),(23,1),(43,1)}
       32:{1,3,7}:{(20,1),(22,1),(39,1),(43,1),(55,1)}
       33:{2,3,7}:{(21,1),(22,1),(40,1),(43,1),(55,1)}
       34:{1,5}:{(24,1),(26,1)}
       35:{2,5}:{(24,1),(27,1)}
       36:{3,5,7}:{(24,1),(25,1),(28,1),(45,1),(46,1),(47,1)}
       37:{4,6}:{(25,1),(47,1),(48,1)}
       38:{1,2,4,6}:{(26,1),(27,1),(30,1),(31,1),(44,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       39:{1,4,7}:{(26,1),(28,1),(32,1),(45,1)}
       40:{2,4,7}:{(27,1),(28,1),(33,1),(46,1)}
       41:{5,7}:{(29,1),(48,1)}
       42:{3}:{(30,1)}
       43:{1,2,7}:{(31,1),(32,1),(33,1)}
       44:{1,2,5}:{(34,1),(35,1),(38,1),(51,1),(62,1)}
       45:{1,5,7}:{(34,1),(36,1),(39,1),(53,1)}
       46:{2,5,7}:{(35,1),(36,1),(40,1),(54,1)}
       47:{3,6}:{(36,1),(37,1),(53,1),(54,1)}
       48:{5,6}:{(37,1),(41,1),(62,1)}
       49:{3,6}:{(38,1),(42,1),(51,1),(55,1)}
       50:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(52,1),(55,1),(59,1)}
       51:{3,5}:{(44,1),(49,1),(56,1)}
       52:{1,2,5,7}:{(44,1),(45,1),(46,1),(50,1),(57,1),(58,1)}
       53:{1,6}:{(45,1),(47,1)}
       54:{2,6}:{(46,1),(47,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{4}:{(51,1)}
       57:{3,5,7}:{(51,1),(52,1),(55,1),(59,1),(60,1),(62,1)}
       58:{1,2,6}:{(52,1),(53,1),(54,1),(60,1)}
       59:{4,7}:{(56,1),(57,1),(61,1)}
       60:{3,6}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 303 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(11,1),(19,1),(39,1),(45,1),(85,1),(98,1)}
         1:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(27,1),(31,1),(72,1)}
         2:{1,3,5}:{(0,1),(6,1),(8,1),(29,1),(108,1),(124,1)}
         3:{1,3,4,7}:{(0,1),(7,1),(9,1),(25,1),(64,1),(71,1),(111,1),(205,1)}
         4:{1,3,5,6}:{(2,1),(10,1),(11,1),(12,1),(19,1),(35,1),(39,1),(54,1),(103,1)}
         5:{2,3,6}:{(1,1),(13,1),(14,1),(39,1)}
         6:{1,2,5}:{(1,1),(2,1),(13,1),(99,1)}
         7:{1,2,4,7}:{(1,1),(3,1),(14,1),(16,1),(46,1),(208,1)}
         8:{1,4,5}:{(2,1),(11,1),(17,1),(146,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(16,1),(18,1),(19,1),(50,1),(132,1),(197,1),(200,1)}
        10:{1,2,5,6}:{(4,1),(6,1),(21,1),(22,1),(23,1),(31,1),(55,1),(108,1),(152,1)}
        11:{1,4,6}:{(4,1),(8,1),(24,1),(25,1),(128,1)}
        12:{1,3,5,7}:{(4,1),(23,1),(25,1),(26,1),(56,1),(64,1),(68,1),(117,1)}
        13:{2,3,5}:{(5,1),(6,1),(27,1),(29,1)}
        14:{2,3,7}:{(5,1),(7,1),(64,1),(209,1)}
        15:{1,2,4,5}:{(6,1),(8,1),(22,1),(27,1),(29,1),(32,1),(58,1),(69,1),(73,1),(108,1)}
        16:{1,2,5,7}:{(6,1),(7,1),(9,1),(28,1),(31,1),(204,1),(207,1)}
        17:{3,4,5}:{(8,1),(24,1),(29,1),(32,1)}
        18:{1,4,5,7}:{(8,1),(9,1),(25,1),(33,1),(34,1),(68,1),(188,1),(192,1)}
        19:{1,3,6}:{(9,1),(31,1),(34,1),(76,1),(152,1)}
        20:{1,4,5,6}:{(11,1),(35,1),(36,1),(54,1),(105,1)}
        21:{2,3,5,6}:{(10,1),(13,1),(37,1),(38,1),(39,1),(47,1),(83,1),(99,1),(103,1),(133,1),(134,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(15,1),(37,1),(39,1),(40,1),(42,1),(85,1),(88,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(38,1),(40,1),(41,1),(80,1),(132,1)}
        24:{3,4,6}:{(11,1),(17,1),(35,1),(39,1),(42,1),(43,1)}
        25:{1,4,7}:{(11,1),(12,1),(43,1),(140,1)}
        26:{1,3,6,7}:{(12,1),(19,1),(41,1),(44,1),(81,1),(91,1),(197,1)}
        27:{2,4}:{(13,1),(45,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(16,1),(46,1),(47,1),(50,1),(99,1),(196,1),(198,1),(201,1)}
        29:{3,5}:{(15,1),(39,1),(45,1)}
        30:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(40,1),(46,1),(50,1),(51,1),(52,1),(84,1),(92,1),(96,1),(99,1),(100,1),(132,1),(140,1),(144,1),(146,1),(171,1),(172,1),(177,1),(196,1)}
        31:{1,2,6}:{(16,1),(19,1),(47,1)}
        32:{2,4,5}:{(17,1),(42,1),(49,1)}
        33:{3,4,5,7}:{(17,1),(18,1),(43,1),(50,1),(52,1),(53,1),(94,1),(140,1),(146,1),(174,1),(179,1)}
        34:{1,4,6}:{(18,1),(19,1),(53,1),(54,1)}
        35:{3,5,6}:{(20,1),(24,1),(55,1),(56,1)}
        36:{1,4,5,7}:{(20,1),(25,1),(56,1),(57,1),(68,1),(119,1)}
        37:{2,4,6}:{(21,1),(27,1),(58,1),(59,1),(60,1),(128,1)}
        38:{2,3,5,7}:{(21,1),(23,1),(60,1),(61,1),(64,1),(109,1),(113,1),(117,1)}
        39:{3,6}:{(22,1),(29,1),(64,1)}
        40:{1,2,4,7}:{(22,1),(23,1),(25,1),(60,1),(64,1),(66,1),(111,1),(114,1)}
        41:{1,2,6,7}:{(23,1),(26,1),(31,1),(61,1),(106,1),(152,1),(204,1)}
        42:{2,4,6}:{(24,1),(32,1),(55,1),(63,1),(66,1)}
        43:{3,4,7}:{(24,1),(25,1),(56,1),(64,1),(66,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(34,1),(67,1),(68,1),(183,1),(188,1)}
        45:{3,4}:{(27,1),(29,1),(69,1)}
        46:{2,4,7}:{(27,1),(28,1),(71,1),(72,1),(206,1)}
        47:{2,3,6}:{(28,1),(31,1),(72,1),(76,1),(203,1)}
        48:{1,3,5}:{(29,1),(62,1),(69,1),(73,1),(108,1),(120,1)}
        49:{2,3,5}:{(29,1),(32,1),(63,1),(70,1),(73,1)}
        50:{3,5,7}:{(29,1),(30,1),(64,1),(71,1),(76,1),(124,1),(186,1),(190,1)}
        51:{1,2,4,6}:{(30,1),(31,1),(34,1),(72,1),(76,1),(77,1),(78,1),(110,1),(122,1),(125,1),(128,1),(152,1),(184,1),(203,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(66,1),(75,1),(78,1),(118,1),(158,1),(163,1)}
        53:{3,4,6}:{(33,1),(34,1),(76,1),(78,1),(79,1),(128,1)}
        54:{1,5,6}:{(34,1),(68,1),(79,1)}
        55:{2,5,6}:{(35,1),(42,1),(80,1)}
        56:{3,5,7}:{(35,1),(36,1),(43,1),(80,1),(81,1)}
        57:{1,4,6,7}:{(36,1),(81,1),(82,1),(131,1)}
        58:{2,4,5}:{(37,1),(83,1),(99,1),(146,1)}
        59:{3,4,6}:{(37,1),(39,1),(45,1),(83,1),(85,1),(86,1),(133,1)}
        60:{2,4,7}:{(37,1),(38,1),(86,1),(140,1)}
        61:{2,3,6,7}:{(38,1),(41,1),(47,1),(87,1),(91,1),(133,1),(198,1)}
        62:{1,3,6}:{(39,1),(48,1),(85,1),(88,1),(89,1)}
        63:{2,3,6}:{(39,1),(42,1),(49,1),(88,1),(90,1)}
        64:{3,7}:{(39,1),(40,1)}
        65:{1,2,4,6,7}:{(40,1),(41,1),(44,1),(51,1),(87,1),(91,1),(92,1),(93,1),(135,1),(137,1),(140,1),(172,1)}
        66:{2,4,7}:{(42,1),(43,1),(80,1),(90,1)}
        67:{3,4,6,7}:{(43,1),(44,1),(53,1),(81,1),(91,1),(93,1),(94,1),(131,1),(140,1),(168,1),(174,1)}
        68:{1,5,7}:{(44,1),(54,1),(94,1)}
        69:{1,4}:{(45,1),(48,1)}
        70:{2,3,4}:{(45,1),(49,1),(95,1)}
        71:{3,4,7}:{(45,1),(46,1),(50,1),(96,1),(98,1),(140,1),(199,1)}
        72:{2,4,6}:{(46,1),(47,1),(98,1),(99,1)}
        73:{1,2,5}:{(48,1),(49,1),(88,1),(95,1)}
        74:{1,3,5,7}:{(48,1),(50,1),(89,1),(96,1),(100,1),(101,1),(132,1),(142,1),(144,1),(176,1)}
        75:{2,3,5,7}:{(49,1),(50,1),(52,1),(90,1),(97,1),(100,1),(102,1),(145,1),(196,1)}
        76:{3,6}:{(50,1),(51,1)}
        77:{1,2,5,6}:{(51,1),(54,1),(92,1),(99,1),(103,1),(104,1),(134,1),(144,1),(169,1)}
        78:{2,4,6}:{(52,1),(53,1),(102,1),(104,1)}
        79:{3,5,6}:{(53,1),(54,1),(94,1),(104,1),(105,1)}
        80:{2,5,7}:{(55,1),(56,1),(66,1),(106,1)}
        81:{3,6,7}:{(56,1),(57,1),(106,1)}
        82:{1,5,6,7}:{(57,1),(68,1),(107,1),(183,1)}
        83:{3,5}:{(58,1),(59,1),(108,1)}
        84:{2,4,5,7}:{(58,1),(60,1),(109,1),(110,1),(113,1),(155,1)}
        85:{1,4,6}:{(59,1),(62,1),(69,1),(108,1),(111,1),(152,1)}
        86:{3,4,7}:{(59,1),(60,1),(64,1),(109,1),(111,1)}
        87:{2,4,6,7}:{(60,1),(61,1),(72,1),(110,1),(112,1),(113,1),(187,1),(203,1)}
        88:{1,2,6}:{(62,1),(63,1),(73,1),(114,1)}
        89:{1,3,7}:{(62,1),(64,1),(111,1),(114,1)}
        90:{2,3,7}:{(63,1),(64,1),(66,1),(114,1)}
        91:{3,6,7}:{(64,1),(65,1),(76,1),(117,1),(186,1)}
        92:{1,2,5,7}:{(65,1),(68,1),(77,1),(113,1),(117,1),(118,1),(154,1)}
        93:{2,4,6,7}:{(66,1),(67,1),(78,1),(106,1),(116,1),(118,1),(158,1)}
        94:{3,5,7}:{(67,1),(68,1),(79,1),(118,1),(119,1)}
        95:{1,2,4}:{(69,1),(70,1),(73,1),(120,1)}
        96:{1,4,7}:{(69,1),(71,1),(74,1),(122,1),(189,1)}
        97:{2,3,4,7}:{(70,1),(71,1),(75,1),(121,1),(123,1),(158,1),(186,1),(187,1)}
        98:{3,4,6}:{(71,1),(72,1),(76,1),(122,1),(124,1),(128,1)}
        99:{2,5}:{(72,1),(124,1)}
       100:{1,2,5,7}:{(73,1),(74,1),(75,1),(114,1),(121,1),(125,1),(161,1)}
       101:{1,3,6}:{(74,1),(76,1),(122,1),(125,1),(152,1)}
       102:{2,3,6}:{(75,1),(76,1),(78,1),(125,1),(203,1)}
       103:{3,5,6}:{(76,1),(77,1),(117,1),(124,1),(128,1)}
       104:{2,5,6}:{(78,1),(79,1),(118,1)}
       105:{4,5,6}:{(79,1),(119,1),(128,1)}
       106:{2,6,7}:{(80,1),(81,1)}
       107:{3,5,6,7}:{(81,1),(82,1),(94,1),(130,1),(131,1),(168,1)}
       108:{1,5}:{(83,1),(85,1)}
       109:{3,5,7}:{(83,1),(84,1),(86,1),(132,1),(133,1)}
       110:{2,4,6}:{(84,1),(133,1),(134,1),(170,1)}
       111:{1,4,7}:{(85,1),(86,1),(89,1),(132,1)}
       112:{3,4,6,7}:{(86,1),(87,1),(91,1),(98,1),(133,1),(135,1),(136,1),(140,1),(170,1),(173,1),(195,1)}
       113:{2,5,7}:{(87,1),(99,1),(134,1),(136,1)}
       114:{1,2,7}:{(88,1),(89,1),(90,1)}
       115:{1,3,6,7}:{(89,1),(91,1),(101,1),(135,1),(137,1),(138,1),(195,1)}
       116:{2,3,6,7}:{(90,1),(91,1),(93,1),(102,1),(137,1),(139,1),(168,1)}
       117:{3,5,7}:{(91,1),(92,1),(103,1),(140,1)}
       118:{2,5,7}:{(93,1),(94,1),(104,1)}
       119:{4,5,7}:{(94,1),(105,1),(131,1),(140,1)}
       120:{1,3}:{(95,1)}
       121:{1,2,4,7}:{(95,1),(96,1),(97,1),(100,1),(142,1),(143,1)}
       122:{1,4,6}:{(96,1),(98,1),(101,1),(144,1)}
       123:{2,3,4,6}:{(97,1),(98,1),(102,1),(143,1),(145,1),(149,1),(180,1),(181,1),(199,1)}
       124:{3,5}:{(98,1),(99,1),(144,1),(146,1)}
       125:{1,2,6}:{(100,1),(101,1),(102,1)}
       126:{1,3,5,6}:{(101,1),(103,1),(138,1),(144,1),(147,1),(148,1),(169,1),(176,1),(178,1),(180,1),(195,1)}
       127:{2,3,5,6}:{(102,1),(103,1),(104,1),(139,1),(145,1),(147,1),(149,1),(150,1),(180,1)}
       128:{4,6}:{(103,1),(140,1),(146,1)}
       129:{2,4,5,6}:{(104,1),(105,1),(141,1),(149,1),(150,1)}
       130:{2,5,6,7}:{(106,1),(107,1),(118,1),(151,1)}
       131:{4,6,7}:{(107,1),(119,1)}
       132:{1,5,7}:{(108,1),(109,1),(111,1),(152,1)}
       133:{3,6}:{(109,1),(110,1),(152,1)}
       134:{2,5,6}:{(110,1),(113,1),(153,1),(203,1)}
       135:{1,4,6,7}:{(111,1),(112,1),(115,1),(122,1),(152,1),(154,1),(157,1),(184,1)}
       136:{3,5,7}:{(112,1),(113,1),(124,1),(153,1),(154,1),(155,1)}
       137:{1,2,6,7}:{(114,1),(115,1),(116,1),(125,1),(156,1),(183,1),(203,1)}
       138:{1,3,5,7}:{(115,1),(117,1),(126,1),(154,1),(156,1),(157,1),(185,1),(186,1)}
       139:{2,3,5,7}:{(116,1),(117,1),(118,1),(127,1),(156,1),(158,1),(159,1),(186,1)}
       140:{4,7}:{(117,1),(128,1)}
       141:{2,4,5,7}:{(118,1),(119,1),(129,1),(151,1),(158,1),(159,1)}
       142:{1,3,7}:{(120,1),(121,1),(160,1),(186,1)}
       143:{1,2,4,6}:{(121,1),(122,1),(123,1),(125,1),(160,1),(161,1),(189,1)}
       144:{1,5}:{(122,1),(124,1)}
       145:{2,3,5}:{(123,1),(124,1),(161,1),(163,1),(190,1),(191,1)}
       146:{4,5}:{(124,1),(128,1)}
       147:{1,2,5,6}:{(125,1),(126,1),(127,1),(156,1),(161,1),(164,1),(167,1),(191,1),(203,1)}
       148:{1,4,6}:{(126,1),(128,1),(157,1),(162,1),(165,1),(189,1)}
       149:{2,4,6}:{(127,1),(128,1),(158,1),(163,1),(166,1)}
       150:{3,5,6}:{(129,1),(159,1),(166,1),(167,1)}
       151:{2,4,6,7}:{(130,1),(131,1),(141,1),(168,1)}
       152:{1,6}:{(132,1),(133,1)}
       153:{3,5,6}:{(133,1),(134,1),(136,1),(169,1),(170,1),(195,1)}
       154:{1,5,7}:{(135,1),(136,1),(144,1),(169,1)}
       155:{4,5,7}:{(136,1),(140,1),(146,1),(170,1)}
       156:{1,2,5,7}:{(137,1),(138,1),(139,1),(147,1),(172,1),(175,1),(196,1)}
       157:{1,4,7}:{(138,1),(140,1),(148,1),(173,1)}
       158:{2,4,7}:{(139,1),(140,1),(149,1),(174,1)}
       159:{3,5,7}:{(141,1),(150,1),(168,1),(174,1),(175,1)}
       160:{1,3,6}:{(142,1),(143,1),(176,1),(180,1)}
       161:{1,2,5}:{(143,1),(144,1),(145,1),(176,1)}
       162:{1,4,5}:{(144,1),(146,1),(148,1),(178,1)}
       163:{2,4,5}:{(145,1),(146,1),(149,1),(179,1)}
       164:{1,2,4,6}:{(147,1),(148,1),(149,1),(172,1),(177,1),(180,1),(181,1),(182,1),(202,1)}
       165:{3,4,6}:{(148,1),(173,1),(178,1),(180,1),(181,1),(195,1),(199,1)}
       166:{3,4,6}:{(149,1),(150,1),(174,1),(179,1),(180,1),(182,1)}
       167:{1,5,6}:{(150,1),(175,1),(182,1)}
       168:{3,6,7}:{(151,1),(159,1),(183,1)}
       169:{1,5,6}:{(152,1),(153,1),(154,1),(184,1)}
       170:{4,6}:{(153,1),(155,1)}
       171:{1,4,5,7}:{(154,1),(155,1),(157,1),(162,1),(184,1),(185,1)}
       172:{1,2,4,7}:{(156,1),(157,1),(158,1),(164,1),(186,1),(187,1),(188,1),(204,1)}
       173:{3,4,7}:{(157,1),(165,1),(185,1),(186,1),(187,1)}
       174:{3,4,7}:{(158,1),(159,1),(166,1),(186,1),(188,1)}
       175:{1,5,7}:{(159,1),(167,1),(183,1),(188,1)}
       176:{1,3,5}:{(160,1),(161,1),(189,1),(190,1)}
       177:{1,2,4,5}:{(161,1),(162,1),(163,1),(164,1),(189,1),(190,1),(191,1),(192,1),(206,1),(207,1)}
       178:{3,5}:{(162,1),(165,1),(191,1)}
       179:{3,4,5}:{(163,1),(166,1),(190,1),(192,1)}
       180:{3,6}:{(164,1),(186,1),(190,1)}
       181:{2,4,6}:{(165,1),(187,1),(191,1),(194,1),(203,1),(206,1)}
       182:{1,4,6}:{(166,1),(167,1),(188,1),(192,1),(193,1)}
       183:{1,6,7}:{(168,1),(175,1)}
       184:{1,4,6}:{(169,1),(170,1),(171,1),(195,1)}
       185:{3,5,7}:{(171,1),(173,1),(178,1),(195,1),(196,1)}
       186:{3,7}:{(172,1),(180,1)}
       187:{2,4,7}:{(173,1),(181,1),(196,1),(198,1)}
       188:{1,4,7}:{(174,1),(175,1),(182,1),(197,1)}
       189:{1,4}:{(176,1),(199,1)}
       190:{3,5}:{(177,1),(180,1),(199,1)}
       191:{2,5}:{(178,1),(181,1)}
       192:{1,4,5}:{(179,1),(182,1),(200,1)}
       193:{1,3,6}:{(180,1),(182,1),(197,1),(200,1),(202,1)}
       194:{2,3,6}:{(180,1),(181,1),(198,1),(201,1),(202,1)}
       195:{3,6}:{(184,1),(185,1),(203,1)}
       196:{2,5,7}:{(185,1),(187,1),(191,1),(203,1)}
       197:{1,3,7}:{(186,1),(188,1),(193,1),(204,1)}
       198:{2,3,7}:{(186,1),(187,1),(194,1),(204,1)}
       199:{3,4}:{(189,1),(190,1),(206,1)}
       200:{1,3,5}:{(190,1),(192,1),(193,1),(205,1),(207,1)}
       201:{2,3,5}:{(190,1),(191,1),(194,1),(206,1),(207,1),(209,1)}
       202:{1,2,6}:{(193,1),(194,1),(204,1),(207,1)}
       203:{2,6}:{(195,1),(196,1)}
       204:{1,2,7}:{(197,1),(198,1),(202,1)}
       205:{1,3,4}:{(199,1),(200,1),(208,1)}
       206:{2,4}:{(199,1),(201,1)}
       207:{1,2,5}:{(200,1),(201,1),(202,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{2,3}:{(208,1)}

 304 :   0:{1,3,4,7}:{(2,1),(3,1),(4,1),(52,1),(67,1),(127,1),(179,1),(196,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(7,1),(29,1),(35,1),(45,1),(98,1),(136,1),(143,1),(146,1),(147,1)}
         2:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(12,1),(29,1),(183,1),(190,1),(195,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(37,1),(205,1)}
         4:{1,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(42,1),(81,1),(97,1),(100,1),(156,1)}
         5:{1,4,5,7}:{(1,1),(2,1),(15,1),(25,1),(56,1),(67,1),(163,1),(171,1)}
         6:{2,4,5,7}:{(1,1),(13,1),(16,1),(58,1),(71,1),(105,1),(111,1),(130,1)}
         7:{3,4,6}:{(1,1),(15,1),(16,1),(18,1),(53,1),(116,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(19,1),(20,1),(24,1),(198,1),(203,1)}
         9:{1,3,6}:{(2,1),(15,1),(20,1),(53,1),(204,1)}
        10:{2,3,7}:{(3,1),(23,1),(127,1),(208,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(20,1),(23,1),(24,1),(62,1),(69,1)}
        12:{1,3,5}:{(4,1),(24,1),(25,1),(70,1),(114,1),(178,1)}
        13:{2,3,5,7}:{(6,1),(26,1),(27,1),(28,1),(29,1),(74,1),(102,1),(158,1),(207,1)}
        14:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(27,1),(29,1),(30,1),(37,1),(44,1),(75,1),(84,1),(93,1),(96,1),(135,1),(138,1),(141,1),(146,1),(147,1),(153,1),(186,1),(195,1),(207,1)}
        15:{1,4,6}:{(5,1),(7,1),(9,1),(32,1)}
        16:{2,4,6}:{(6,1),(7,1),(28,1),(34,1)}
        17:{3,4,6,7}:{(7,1),(31,1),(33,1),(35,1),(82,1),(91,1),(98,1),(143,1),(147,1),(148,1),(150,1)}
        18:{3,5,6}:{(7,1),(32,1),(34,1),(35,1),(36,1)}
        19:{2,3,5,7}:{(8,1),(10,1),(29,1),(37,1),(38,1),(43,1),(93,1),(184,1),(191,1),(207,1)}
        20:{1,2,6}:{(8,1),(9,1),(38,1)}
        21:{1,3,6,7}:{(9,1),(31,1),(39,1),(41,1),(82,1),(148,1),(190,1)}
        22:{1,3,5,6}:{(9,1),(12,1),(32,1),(40,1),(41,1),(42,1),(83,1),(87,1),(97,1)}
        23:{2,3,6}:{(10,1),(11,1),(43,1),(97,1)}
        24:{1,2,5}:{(11,1),(12,1),(43,1),(93,1)}
        25:{1,4,5}:{(12,1),(42,1),(45,1),(146,1)}
        26:{2,3,4,7}:{(13,1),(46,1),(47,1),(52,1),(111,1),(132,1),(168,1),(202,1)}
        27:{1,2,5,7}:{(13,1),(46,1),(48,1),(49,1),(104,1),(133,1),(180,1)}
        28:{2,3,6}:{(13,1),(16,1),(49,1),(53,1),(209,1)}
        29:{3,5,7}:{(14,1),(52,1),(53,1),(70,1),(114,1),(127,1),(162,1),(168,1)}
        30:{1,2,4,6}:{(14,1),(15,1),(16,1),(20,1),(49,1),(53,1),(55,1),(62,1),(106,1),(116,1),(176,1),(199,1),(204,1),(209,1)}
        31:{1,4,6,7}:{(15,1),(17,1),(21,1),(56,1),(67,1),(171,1),(175,1)}
        32:{1,5,6}:{(15,1),(18,1),(56,1)}
        33:{2,4,6,7}:{(16,1),(17,1),(50,1),(58,1),(111,1),(130,1),(174,1)}
        34:{2,5,6}:{(16,1),(18,1),(58,1)}
        35:{3,5,7}:{(17,1),(18,1),(56,1),(58,1),(61,1)}
        36:{4,5,6}:{(18,1),(61,1),(116,1)}
        37:{2,4,7}:{(19,1),(52,1),(62,1),(69,1),(197,1)}
        38:{2,3,6}:{(19,1),(20,1),(53,1),(62,1),(209,1)}
        39:{1,2,6,7}:{(20,1),(21,1),(63,1),(65,1),(174,1),(203,1),(204,1)}
        40:{1,2,5,6}:{(20,1),(22,1),(24,1),(64,1),(65,1),(66,1),(119,1),(178,1),(204,1)}
        41:{1,3,5,7}:{(21,1),(22,1),(56,1),(65,1),(67,1),(115,1),(118,1),(127,1)}
        42:{1,4,6}:{(22,1),(25,1),(67,1),(68,1),(116,1)}
        43:{2,3,5}:{(23,1),(24,1),(69,1),(70,1)}
        44:{1,2,4,5}:{(24,1),(25,1),(66,1),(69,1),(70,1),(71,1),(124,1),(131,1),(133,1),(178,1)}
        45:{3,4,5}:{(25,1),(68,1),(70,1),(71,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(72,1),(73,1),(75,1),(160,1)}
        47:{2,3,4,6}:{(26,1),(28,1),(73,1),(74,1),(80,1),(81,1),(142,1),(182,1),(189,1)}
        48:{1,3,5,7}:{(27,1),(29,1),(72,1),(75,1),(76,1),(101,1),(134,1),(138,1),(157,1),(195,1)}
        49:{1,2,6}:{(27,1),(28,1),(76,1)}
        50:{2,3,6,7}:{(28,1),(33,1),(77,1),(79,1),(82,1),(150,1),(158,1)}
        51:{2,3,5,6}:{(28,1),(34,1),(74,1),(78,1),(79,1),(80,1),(83,1),(90,1),(142,1)}
        52:{3,4,7}:{(29,1),(37,1),(75,1),(81,1),(100,1),(147,1),(182,1)}
        53:{3,6}:{(29,1),(30,1)}
        54:{1,2,4,6,7}:{(30,1),(31,1),(33,1),(39,1),(77,1),(82,1),(84,1),(92,1),(96,1),(137,1),(141,1),(147,1)}
        55:{1,2,5,6}:{(30,1),(32,1),(34,1),(83,1),(84,1),(93,1),(138,1),(152,1),(185,1)}
        56:{1,5,7}:{(31,1),(32,1),(35,1)}
        57:{1,4,5,6}:{(32,1),(36,1),(42,1),(86,1),(87,1)}
        58:{2,5,7}:{(33,1),(34,1),(35,1)}
        59:{2,4,5,6}:{(34,1),(36,1),(80,1),(89,1),(90,1)}
        60:{3,5,6,7}:{(35,1),(85,1),(88,1),(91,1),(148,1),(150,1)}
        61:{4,5,7}:{(35,1),(36,1),(91,1),(147,1)}
        62:{2,4,6}:{(37,1),(38,1),(81,1),(93,1)}
        63:{2,3,6,7}:{(38,1),(39,1),(82,1),(92,1),(94,1),(191,1),(194,1)}
        64:{2,3,5,6}:{(38,1),(40,1),(43,1),(83,1),(93,1),(94,1),(95,1),(97,1),(152,1),(154,1),(194,1)}
        65:{1,2,5,7}:{(39,1),(40,1),(41,1),(94,1),(96,1),(149,1),(195,1)}
        66:{1,2,4,6}:{(40,1),(42,1),(44,1),(95,1),(96,1),(97,1),(99,1),(156,1),(159,1)}
        67:{1,4,7}:{(41,1),(42,1),(98,1),(147,1)}
        68:{3,4,6}:{(42,1),(45,1),(87,1),(97,1),(98,1),(99,1)}
        69:{2,4}:{(43,1),(100,1)}
        70:{3,5}:{(44,1),(97,1),(100,1)}
        71:{2,4,5}:{(45,1),(99,1),(102,1)}
        72:{1,3,7}:{(46,1),(103,1),(168,1),(181,1)}
        73:{1,2,4,6}:{(46,1),(47,1),(49,1),(103,1),(104,1),(106,1),(161,1)}
        74:{2,3,5}:{(47,1),(104,1),(105,1),(114,1),(162,1),(201,1)}
        75:{1,4,7}:{(48,1),(52,1),(106,1),(131,1),(161,1)}
        76:{1,3,6}:{(48,1),(49,1),(53,1),(106,1),(204,1)}
        77:{1,2,6,7}:{(49,1),(50,1),(107,1),(109,1),(175,1),(180,1),(209,1)}
        78:{1,2,5,6}:{(49,1),(51,1),(104,1),(108,1),(109,1),(110,1),(122,1),(201,1),(209,1)}
        79:{2,3,5,7}:{(50,1),(51,1),(58,1),(109,1),(111,1),(115,1),(121,1),(168,1)}
        80:{2,4,6}:{(51,1),(105,1),(111,1),(112,1),(116,1)}
        81:{3,4,6}:{(52,1),(53,1),(62,1),(106,1),(114,1),(116,1)}
        82:{3,6,7}:{(53,1),(54,1),(115,1),(127,1),(168,1)}
        83:{3,5,6}:{(53,1),(55,1),(114,1),(115,1),(116,1)}
        84:{1,2,5,7}:{(54,1),(55,1),(56,1),(58,1),(115,1),(123,1),(164,1)}
        85:{1,5,6,7}:{(56,1),(60,1),(117,1),(175,1)}
        86:{1,4,5,7}:{(56,1),(57,1),(61,1),(67,1),(117,1),(118,1)}
        87:{3,5,6}:{(57,1),(68,1),(118,1),(119,1)}
        88:{2,5,6,7}:{(58,1),(60,1),(120,1),(174,1)}
        89:{2,4,5,7}:{(58,1),(59,1),(61,1),(111,1),(120,1),(121,1)}
        90:{3,5,6}:{(59,1),(112,1),(121,1),(122,1)}
        91:{4,6,7}:{(60,1),(61,1)}
        92:{2,4,6,7}:{(62,1),(63,1),(113,1),(123,1),(125,1),(176,1),(202,1),(209,1)}
        93:{2,5}:{(62,1),(114,1)}
        94:{2,3,5,7}:{(63,1),(64,1),(65,1),(115,1),(123,1),(125,1),(127,1),(177,1)}
        95:{2,4,6}:{(64,1),(69,1),(116,1),(124,1),(125,1),(126,1)}
        96:{1,2,4,7}:{(65,1),(66,1),(67,1),(125,1),(127,1),(130,1),(179,1),(180,1)}
        97:{3,6}:{(66,1),(70,1),(127,1)}
        98:{3,4,7}:{(67,1),(68,1),(118,1),(127,1),(130,1)}
        99:{2,4,6}:{(68,1),(71,1),(119,1),(129,1),(130,1)}
       100:{3,4}:{(69,1),(70,1),(131,1)}
       101:{1,3,5}:{(70,1),(128,1),(131,1),(133,1),(178,1),(181,1)}
       102:{2,3,5}:{(70,1),(71,1),(129,1),(132,1),(133,1)}
       103:{1,3,6}:{(72,1),(73,1),(134,1),(142,1)}
       104:{1,2,5}:{(73,1),(74,1),(134,1),(138,1)}
       105:{2,4,5}:{(74,1),(80,1),(136,1),(146,1)}
       106:{1,4,6}:{(75,1),(76,1),(81,1),(138,1)}
       107:{1,3,6,7}:{(76,1),(77,1),(82,1),(137,1),(139,1),(157,1),(206,1)}
       108:{1,3,5,6}:{(76,1),(78,1),(83,1),(134,1),(138,1),(139,1),(140,1),(142,1),(185,1),(187,1),(206,1)}
       109:{1,2,5,7}:{(77,1),(78,1),(79,1),(139,1),(141,1),(151,1),(207,1)}
       110:{1,2,4,6}:{(78,1),(80,1),(135,1),(140,1),(141,1),(142,1),(144,1),(189,1),(192,1)}
       111:{2,4,7}:{(79,1),(80,1),(143,1),(147,1)}
       112:{3,4,6}:{(80,1),(90,1),(136,1),(142,1),(143,1),(144,1)}
       113:{3,4,6,7}:{(81,1),(82,1),(92,1),(137,1),(145,1),(147,1),(155,1),(188,1),(193,1),(194,1),(206,1)}
       114:{3,5}:{(81,1),(93,1),(138,1),(146,1)}
       115:{3,5,7}:{(82,1),(83,1),(84,1),(147,1)}
       116:{4,6}:{(83,1),(146,1),(147,1)}
       117:{1,4,6,7}:{(85,1),(86,1),(91,1),(148,1)}
       118:{3,5,7}:{(86,1),(87,1),(98,1),(148,1),(149,1)}
       119:{2,5,6}:{(87,1),(99,1),(149,1)}
       120:{2,4,6,7}:{(88,1),(89,1),(91,1),(150,1)}
       121:{3,5,7}:{(89,1),(90,1),(143,1),(150,1),(151,1)}
       122:{1,5,6}:{(90,1),(144,1),(151,1)}
       123:{2,5,7}:{(92,1),(93,1),(145,1),(152,1)}
       124:{2,4,5}:{(93,1),(95,1),(146,1),(154,1)}
       125:{2,4,7}:{(94,1),(95,1),(147,1),(155,1)}
       126:{3,4,6}:{(95,1),(97,1),(100,1),(154,1),(155,1),(156,1),(194,1)}
       127:{3,7}:{(96,1),(97,1)}
       128:{1,3,6}:{(97,1),(101,1),(156,1),(157,1),(159,1)}
       129:{2,3,6}:{(97,1),(99,1),(102,1),(158,1),(159,1)}
       130:{2,4,7}:{(98,1),(99,1),(149,1),(158,1)}
       131:{1,4}:{(100,1),(101,1)}
       132:{2,3,4}:{(100,1),(102,1),(160,1)}
       133:{1,2,5}:{(101,1),(102,1),(159,1),(160,1)}
       134:{1,3,5}:{(103,1),(104,1),(161,1),(162,1)}
       135:{1,2,4,5}:{(104,1),(105,1),(110,1),(161,1),(162,1),(163,1),(165,1),(197,1),(198,1),(201,1)}
       136:{3,4,5}:{(105,1),(112,1),(162,1),(163,1)}
       137:{1,4,6,7}:{(106,1),(107,1),(113,1),(164,1),(166,1),(179,1),(199,1),(204,1)}
       138:{1,5}:{(106,1),(114,1)}
       139:{1,3,5,7}:{(107,1),(108,1),(109,1),(115,1),(164,1),(166,1),(168,1),(200,1)}
       140:{1,4,6}:{(108,1),(116,1),(161,1),(165,1),(166,1),(167,1)}
       141:{1,2,4,7}:{(109,1),(110,1),(111,1),(166,1),(168,1),(171,1),(202,1),(203,1)}
       142:{3,6}:{(110,1),(162,1),(168,1)}
       143:{3,4,7}:{(111,1),(112,1),(121,1),(168,1),(171,1)}
       144:{1,4,6}:{(112,1),(122,1),(163,1),(169,1),(171,1)}
       145:{3,5,7}:{(113,1),(114,1),(123,1),(164,1),(172,1),(173,1)}
       146:{4,5}:{(114,1),(116,1)}
       147:{4,7}:{(115,1),(116,1)}
       148:{3,6,7}:{(117,1),(118,1),(174,1)}
       149:{2,5,7}:{(118,1),(119,1),(130,1),(174,1)}
       150:{3,6,7}:{(120,1),(121,1),(175,1)}
       151:{1,5,7}:{(121,1),(122,1),(171,1),(175,1)}
       152:{2,5,6}:{(123,1),(172,1),(176,1),(209,1)}
       153:{2,4,5,7}:{(123,1),(124,1),(125,1),(173,1),(176,1),(177,1)}
       154:{3,5}:{(124,1),(126,1),(178,1)}
       155:{3,4,7}:{(125,1),(126,1),(127,1),(177,1),(179,1)}
       156:{1,4,6}:{(126,1),(128,1),(131,1),(178,1),(179,1),(204,1)}
       157:{1,3,7}:{(127,1),(128,1),(179,1),(180,1)}
       158:{2,3,7}:{(127,1),(129,1),(130,1),(180,1)}
       159:{1,2,6}:{(128,1),(129,1),(133,1),(180,1)}
       160:{1,2,4}:{(131,1),(132,1),(133,1),(181,1)}
       161:{1,4}:{(134,1),(182,1)}
       162:{3,5}:{(135,1),(142,1),(182,1)}
       163:{1,4,5}:{(136,1),(144,1),(183,1)}
       164:{1,5,7}:{(137,1),(138,1),(145,1),(185,1)}
       165:{1,4,5}:{(138,1),(140,1),(146,1),(187,1)}
       166:{1,4,7}:{(139,1),(140,1),(147,1),(188,1)}
       167:{3,4,6}:{(140,1),(142,1),(182,1),(187,1),(188,1),(189,1),(206,1)}
       168:{3,7}:{(141,1),(142,1)}
       169:{1,3,6}:{(142,1),(144,1),(183,1),(190,1),(192,1)}
       170:{2,3,6}:{(142,1),(184,1),(189,1),(191,1),(192,1)}
       171:{1,4,7}:{(143,1),(144,1),(151,1),(190,1)}
       172:{3,5,6}:{(145,1),(152,1),(185,1),(193,1),(194,1),(206,1)}
       173:{4,5,7}:{(145,1),(146,1),(147,1),(193,1)}
       174:{2,6,7}:{(148,1),(149,1)}
       175:{1,6,7}:{(150,1),(151,1)}
       176:{2,4,6}:{(152,1),(153,1),(193,1),(194,1)}
       177:{3,5,7}:{(153,1),(154,1),(155,1),(194,1),(195,1)}
       178:{1,5}:{(154,1),(156,1)}
       179:{1,4,7}:{(155,1),(156,1),(157,1),(195,1)}
       180:{1,2,7}:{(157,1),(158,1),(159,1)}
       181:{1,3}:{(160,1)}
       182:{3,4}:{(161,1),(162,1),(197,1)}
       183:{1,3,5}:{(162,1),(163,1),(169,1),(196,1),(198,1)}
       184:{2,3,5}:{(162,1),(170,1),(197,1),(198,1),(201,1),(208,1)}
       185:{1,5,6}:{(164,1),(172,1),(199,1),(204,1)}
       186:{1,4,5,7}:{(164,1),(165,1),(166,1),(173,1),(199,1),(200,1)}
       187:{3,5}:{(165,1),(167,1),(201,1)}
       188:{3,4,7}:{(166,1),(167,1),(168,1),(200,1),(202,1)}
       189:{2,4,6}:{(167,1),(170,1),(197,1),(201,1),(202,1),(209,1)}
       190:{1,3,7}:{(168,1),(169,1),(171,1),(203,1)}
       191:{2,3,7}:{(168,1),(170,1),(202,1),(203,1)}
       192:{1,2,6}:{(169,1),(170,1),(198,1),(203,1)}
       193:{4,6}:{(172,1),(173,1)}
       194:{3,6}:{(176,1),(177,1),(204,1)}
       195:{1,5,7}:{(177,1),(178,1),(179,1),(204,1)}
       196:{1,3,4}:{(182,1),(183,1),(205,1)}
       197:{2,4}:{(182,1),(184,1)}
       198:{1,2,5}:{(183,1),(184,1),(192,1),(205,1)}
       199:{1,4,6}:{(185,1),(186,1),(193,1),(206,1)}
       200:{3,5,7}:{(186,1),(187,1),(188,1),(206,1),(207,1)}
       201:{2,5}:{(187,1),(189,1)}
       202:{2,4,7}:{(188,1),(189,1),(191,1),(207,1)}
       203:{1,2,7}:{(190,1),(191,1),(192,1)}
       204:{1,6}:{(194,1),(195,1)}
       205:{1,2,4}:{(196,1),(197,1),(198,1),(208,1)}
       206:{3,6}:{(199,1),(200,1),(209,1)}
       207:{2,5,7}:{(200,1),(201,1),(202,1),(209,1)}
       208:{2,3}:{(205,1)}
       209:{2,6}:{(206,1),(207,1)}

 305 :  0:{1,3,4}:{(2,1),(3,1),(46,1)}
        1:{3,4,5}:{(5,1),(6,1),(7,1),(31,1),(71,1)}
        2:{1,3,5}:{(0,1),(6,1),(8,1),(9,1),(31,1)}
        3:{1,2,4}:{(0,1),(9,1),(10,1),(34,1)}
        4:{4,5,6}:{(12,1),(13,1),(63,1),(83,1)}
        5:{3,4,6}:{(1,1),(12,1),(14,1),(15,1),(16,1),(44,1),(63,1)}
        6:{1,4,5}:{(1,1),(2,1),(14,1)}
        7:{2,4,5}:{(1,1),(11,1),(15,1)}
        8:{1,3,6}:{(2,1),(14,1),(18,1),(19,1),(44,1)}
        9:{1,2,5}:{(2,1),(3,1),(18,1),(20,1)}
       10:{2,3}:{(3,1)}
       11:{2,3,5}:{(7,1),(21,1),(22,1),(23,1),(31,1)}
       12:{3,5,6}:{(4,1),(5,1),(24,1),(25,1),(26,1)}
       13:{4,5,7}:{(4,1),(26,1),(27,1),(72,1),(82,1)}
       14:{1,4,6}:{(5,1),(6,1),(8,1),(24,1),(29,1)}
       15:{2,4,6}:{(5,1),(7,1),(22,1),(25,1),(30,1)}
       16:{3,4,7}:{(5,1),(26,1),(29,1),(30,1),(58,1),(72,1)}
       17:{1,2,4,5}:{(6,1),(7,1),(9,1),(23,1),(28,1),(31,1),(34,1),(52,1),(59,1),(69,1),(71,1)}
       18:{1,2,6}:{(8,1),(9,1),(32,1),(33,1)}
       19:{1,3,7}:{(8,1),(29,1),(33,1),(58,1)}
       20:{2,3,5}:{(9,1),(10,1),(31,1),(32,1),(34,1),(59,1)}
       21:{2,3,4}:{(11,1),(35,1),(46,1)}
       22:{2,3,6}:{(11,1),(15,1),(36,1),(37,1),(44,1)}
       23:{1,2,5}:{(11,1),(35,1),(36,1),(38,1)}
       24:{1,5,6}:{(12,1),(14,1),(40,1)}
       25:{2,5,6}:{(12,1),(15,1),(41,1)}
       26:{3,5,7}:{(12,1),(13,1),(16,1),(40,1),(41,1),(42,1)}
       27:{4,6,7}:{(13,1),(42,1),(43,1)}
       28:{1,2,4,6}:{(14,1),(15,1),(17,1),(18,1),(36,1),(39,1),(44,1),(45,1),(47,1),(61,1),(63,1)}
       29:{1,4,7}:{(14,1),(16,1),(19,1),(40,1)}
       30:{2,4,7}:{(15,1),(16,1),(37,1),(41,1)}
       31:{3,5}:{(17,1),(44,1),(46,1)}
       32:{2,3,6}:{(18,1),(20,1),(44,1),(47,1),(48,1)}
       33:{1,2,7}:{(18,1),(19,1),(48,1)}
       34:{2,4}:{(20,1),(46,1)}
       35:{1,2,4}:{(21,1),(23,1),(49,1),(52,1)}
       36:{1,2,6}:{(22,1),(23,1),(50,1),(51,1)}
       37:{2,3,7}:{(22,1),(30,1),(51,1),(58,1)}
       38:{1,3,5}:{(23,1),(31,1),(49,1),(50,1),(52,1),(69,1)}
       39:{1,2,5,6}:{(24,1),(25,1),(28,1),(53,1),(54,1),(59,1),(69,1),(75,1),(80,1)}
       40:{1,5,7}:{(24,1),(26,1),(29,1),(55,1)}
       41:{2,5,7}:{(25,1),(26,1),(30,1),(56,1)}
       42:{3,6,7}:{(26,1),(27,1),(55,1),(56,1)}
       43:{5,6,7}:{(27,1),(82,1)}
       44:{3,6}:{(28,1),(31,1),(58,1)}
       45:{1,2,4,7}:{(28,1),(29,1),(30,1),(33,1),(51,1),(54,1),(58,1),(60,1),(70,1),(72,1)}
       46:{3,4}:{(31,1),(34,1),(52,1)}
       47:{2,4,6}:{(32,1),(34,1),(57,1),(59,1),(60,1),(75,1)}
       48:{2,3,7}:{(32,1),(33,1),(58,1),(60,1)}
       49:{1,3}:{(35,1)}
       50:{1,3,6}:{(36,1),(38,1),(44,1),(61,1),(62,1)}
       51:{1,2,7}:{(36,1),(37,1),(62,1)}
       52:{1,4}:{(38,1),(46,1)}
       53:{3,5,6}:{(39,1),(44,1),(63,1),(64,1),(66,1),(79,1),(83,1)}
       54:{1,2,5,7}:{(39,1),(40,1),(41,1),(45,1),(64,1),(65,1),(68,1),(76,1)}
       55:{1,6,7}:{(40,1),(42,1)}
       56:{2,6,7}:{(41,1),(42,1)}
       57:{3,4,6}:{(44,1),(46,1),(47,1),(61,1),(63,1),(66,1),(67,1),(79,1)}
       58:{3,7}:{(44,1),(45,1)}
       59:{2,5}:{(47,1),(66,1)}
       60:{2,4,7}:{(47,1),(48,1),(67,1),(68,1)}
       61:{1,4,6}:{(50,1),(52,1),(57,1),(69,1),(70,1),(80,1)}
       62:{1,3,7}:{(50,1),(51,1),(58,1),(70,1)}
       63:{4,6}:{(53,1),(71,1),(72,1)}
       64:{3,5,7}:{(53,1),(54,1),(58,1),(72,1),(73,1),(82,1)}
       65:{1,2,6,7}:{(54,1),(55,1),(56,1),(73,1),(75,1),(80,1)}
       66:{3,5}:{(57,1),(59,1),(69,1),(71,1)}
       67:{3,4,7}:{(57,1),(58,1),(60,1),(70,1),(72,1),(74,1)}
       68:{2,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{1,5}:{(61,1),(66,1)}
       70:{1,4,7}:{(61,1),(62,1),(67,1),(76,1)}
       71:{4,5}:{(63,1),(66,1)}
       72:{4,7}:{(63,1),(64,1)}
       73:{3,6,7}:{(64,1),(65,1),(78,1),(79,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(77,1),(79,1)}
       75:{2,6}:{(68,1),(79,1)}
       76:{1,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,5,7}:{(71,1),(72,1),(74,1),(81,1),(82,1)}
       78:{4,6,7}:{(72,1),(73,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(81,1)}
       80:{1,6}:{(76,1),(79,1)}
       81:{4,6}:{(77,1),(79,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 306 :   0:{2,3,5,7}:{(2,1),(3,1),(4,1),(5,1),(18,1),(22,1),(48,1)}
         1:{2,4,5,7}:{(3,1),(5,1),(6,1),(22,1),(26,1),(50,1),(53,1)}
         2:{1,2,5,7}:{(0,1),(7,1),(8,1),(9,1),(12,1),(33,1),(54,1)}
         3:{2,4,7}:{(0,1),(10,1),(11,1),(63,1),(88,1)}
         4:{2,3,6}:{(0,1),(9,1),(11,1),(13,1),(32,1),(100,1)}
         5:{3,5,7}:{(1,1),(10,1),(12,1),(13,1),(35,1)}
         6:{2,4,6}:{(1,1),(13,1),(15,1),(39,1)}
         7:{1,3,5,7}:{(2,1),(16,1),(17,1),(18,1),(40,1),(44,1),(48,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(16,1),(18,1),(19,1),(20,1),(42,1),(45,1)}
         9:{1,2,6}:{(2,1),(4,1),(17,1),(23,1),(67,1),(103,1)}
        10:{3,4,7}:{(3,1),(5,1),(18,1),(20,1),(21,1),(53,1),(77,1)}
        11:{2,4,6}:{(3,1),(4,1),(21,1),(22,1),(78,1),(94,1)}
        12:{1,5,7}:{(5,1),(20,1),(23,1),(49,1)}
        13:{3,6}:{(5,1),(6,1),(23,1)}
        14:{2,4,6,7}:{(6,1),(24,1),(26,1),(53,1)}
        15:{2,5,6}:{(6,1),(22,1),(25,1),(26,1),(78,1)}
        16:{1,4,7}:{(7,1),(28,1),(29,1),(63,1),(104,1)}
        17:{1,3,6}:{(7,1),(9,1),(29,1),(32,1),(55,1),(99,1)}
        18:{3,7}:{(8,1),(32,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(11,1),(29,1),(32,1),(33,1),(34,1),(58,1),(60,1),(63,1),(84,1)}
        20:{1,4,7}:{(10,1),(12,1),(30,1),(34,1)}
        21:{3,4,6}:{(10,1),(11,1),(13,1),(32,1),(34,1),(35,1),(39,1),(63,1),(66,1),(85,1)}
        22:{2,5}:{(11,1),(35,1)}
        23:{1,6}:{(12,1),(13,1)}
        24:{3,6,7}:{(13,1),(14,1),(36,1),(38,1)}
        25:{3,5,6}:{(13,1),(15,1),(35,1),(37,1),(38,1),(39,1),(66,1)}
        26:{2,5,7}:{(14,1),(15,1),(38,1),(88,1)}
        27:{1,4,5,7}:{(16,1),(40,1),(41,1),(44,1),(70,1),(72,1),(91,1)}
        28:{3,4,7}:{(16,1),(18,1),(40,1),(42,1),(43,1),(91,1),(101,1)}
        29:{1,4,6}:{(16,1),(17,1),(43,1),(44,1),(95,1),(102,1)}
        30:{1,3,7}:{(18,1),(20,1),(45,1),(46,1),(77,1)}
        31:{2,3,7}:{(18,1),(42,1),(45,1),(47,1),(101,1)}
        32:{3,6}:{(18,1),(19,1),(48,1),(93,1)}
        33:{1,2,5}:{(19,1),(22,1),(44,1),(48,1),(49,1),(71,1)}
        34:{1,4,6}:{(20,1),(21,1),(23,1),(46,1),(49,1),(74,1)}
        35:{3,5}:{(21,1),(22,1),(49,1),(50,1)}
        36:{1,6,7}:{(23,1),(24,1),(51,1)}
        37:{1,5,6}:{(23,1),(25,1),(49,1),(51,1),(52,1)}
        38:{3,5,7}:{(24,1),(25,1),(26,1),(51,1),(53,1),(77,1)}
        39:{4,6}:{(25,1),(50,1),(53,1)}
        40:{3,5,7}:{(27,1),(28,1),(54,1),(55,1),(59,1)}
        41:{1,4,6}:{(27,1),(55,1),(57,1),(82,1)}
        42:{2,4,7}:{(28,1),(31,1),(54,1),(58,1)}
        43:{3,4,6}:{(28,1),(29,1),(32,1),(55,1),(58,1),(59,1),(63,1),(82,1),(86,1),(97,1)}
        44:{1,5}:{(29,1),(59,1)}
        45:{1,2,7}:{(30,1),(31,1),(60,1),(88,1),(104,1)}
        46:{1,3,6}:{(30,1),(32,1),(34,1),(60,1),(61,1),(66,1)}
        47:{2,3,6}:{(31,1),(32,1),(58,1),(60,1),(62,1),(97,1)}
        48:{3,5}:{(32,1),(33,1),(63,1)}
        49:{1,5}:{(34,1),(35,1)}
        50:{4,5}:{(35,1),(39,1),(63,1)}
        51:{1,5,7}:{(36,1),(37,1),(38,1),(65,1)}
        52:{1,4,6}:{(37,1),(39,1),(64,1),(65,1),(66,1)}
        53:{4,7}:{(38,1),(39,1)}
        54:{2,5,7}:{(40,1),(42,1),(67,1),(71,1)}
        55:{3,6}:{(40,1),(41,1),(67,1)}
        56:{1,4,6,7}:{(41,1),(68,1),(70,1),(91,1)}
        57:{1,5,6}:{(41,1),(44,1),(69,1),(70,1),(102,1)}
        58:{2,4,6}:{(42,1),(43,1),(47,1),(67,1),(71,1),(75,1)}
        59:{3,5}:{(43,1),(44,1),(71,1),(72,1)}
        60:{1,2,6}:{(45,1),(46,1),(47,1),(73,1),(78,1),(102,1)}
        61:{1,3,5}:{(46,1),(48,1),(49,1),(73,1),(74,1),(76,1),(93,1)}
        62:{2,3,5}:{(47,1),(48,1),(71,1),(73,1),(75,1),(92,1),(93,1)}
        63:{4}:{(48,1)}
        64:{1,4,5}:{(49,1),(50,1),(52,1),(74,1),(76,1)}
        65:{1,4,7}:{(51,1),(52,1),(53,1),(77,1)}
        66:{3,6}:{(52,1),(76,1),(77,1),(78,1)}
        67:{2,6}:{(54,1),(55,1)}
        68:{3,6,7}:{(55,1),(56,1),(79,1),(81,1)}
        69:{3,5,6}:{(55,1),(57,1),(59,1),(80,1),(81,1),(82,1),(97,1)}
        70:{1,5,7}:{(56,1),(57,1),(81,1),(104,1)}
        71:{2,5}:{(58,1),(59,1)}
        72:{4,5}:{(59,1),(63,1),(82,1)}
        73:{1,2,5}:{(60,1),(61,1),(62,1),(84,1),(87,1),(98,1)}
        74:{1,4}:{(61,1),(63,1),(85,1)}
        75:{2,4}:{(62,1),(63,1),(86,1)}
        76:{3,5}:{(64,1),(66,1),(85,1),(87,1)}
        77:{3,7}:{(65,1),(66,1),(88,1)}
        78:{2,6}:{(66,1),(87,1),(88,1)}
        79:{2,6,7}:{(67,1),(68,1),(89,1)}
        80:{2,5,6}:{(67,1),(69,1),(71,1),(89,1),(90,1)}
        81:{3,5,7}:{(68,1),(69,1),(70,1),(89,1),(91,1),(101,1)}
        82:{4,6}:{(69,1),(72,1),(91,1)}
        83:{2,4,5}:{(71,1),(72,1),(75,1),(90,1),(92,1)}
        84:{1,2,4}:{(73,1),(74,1),(75,1),(93,1),(94,1),(95,1),(103,1)}
        85:{3,4}:{(74,1),(76,1),(93,1),(94,1)}
        86:{3,4}:{(75,1),(92,1),(93,1),(95,1)}
        87:{2,5}:{(76,1),(78,1),(94,1)}
        88:{2,7}:{(77,1),(78,1)}
        89:{2,5,7}:{(79,1),(80,1),(81,1),(96,1)}
        90:{2,4,6}:{(80,1),(82,1),(83,1),(96,1),(97,1)}
        91:{4,7}:{(81,1),(82,1)}
        92:{3,5}:{(83,1),(86,1),(97,1),(98,1)}
        93:{3}:{(84,1)}
        94:{2,4}:{(85,1),(87,1),(100,1)}
        95:{1,4}:{(86,1),(98,1),(99,1)}
        96:{2,4,7}:{(89,1),(90,1),(91,1),(101,1)}
        97:{3,6}:{(90,1),(92,1),(101,1),(102,1)}
        98:{1,5}:{(92,1),(95,1),(102,1)}
        99:{1,3}:{(93,1),(95,1),(103,1)}
       100:{2,3}:{(93,1),(94,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{1,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{1,7}:{(101,1),(102,1)}

 307 :   0:{2,6,7}:{(3,1),(5,1),(85,1)}
         1:{2,5,6}:{(4,1),(5,1),(6,1),(48,1),(53,1),(85,1)}
         2:{2,4,5}:{(6,1),(7,1),(21,1),(25,1),(53,1)}
         3:{3,6,7}:{(0,1),(8,1),(10,1),(11,1),(68,1)}
         4:{3,5,6}:{(1,1),(9,1),(11,1),(12,1),(15,1),(32,1),(34,1),(36,1),(68,1)}
         5:{2,5,7}:{(0,1),(1,1),(11,1),(14,1),(65,1)}
         6:{2,4,6}:{(1,1),(2,1),(12,1),(14,1),(15,1)}
         7:{3,5}:{(2,1),(13,1),(15,1),(16,1)}
         8:{1,6,7}:{(3,1),(18,1),(84,1)}
         9:{1,5,6}:{(4,1),(18,1),(19,1),(27,1),(52,1),(84,1)}
        10:{4,6,7}:{(3,1),(20,1),(22,1),(50,1)}
        11:{3,5,7}:{(3,1),(4,1),(5,1),(18,1),(20,1),(22,1),(26,1),(46,1)}
        12:{4,6}:{(4,1),(21,1),(22,1)}
        13:{3,4}:{(7,1),(24,1),(25,1),(57,1)}
        14:{2,4,7}:{(5,1),(6,1),(22,1),(26,1)}
        15:{3,6}:{(6,1),(7,1),(26,1),(27,1)}
        16:{1,5}:{(7,1),(24,1),(27,1)}
        17:{2,3,5}:{(7,1),(25,1),(28,1),(29,1),(53,1),(57,1),(87,1)}
        18:{1,5,7}:{(8,1),(9,1),(11,1),(31,1),(41,1)}
        19:{1,4,6}:{(9,1),(12,1),(30,1),(31,1),(32,1)}
        20:{5,7}:{(10,1),(34,1)}
        21:{4,5}:{(12,1),(36,1),(102,1)}
        22:{4,7}:{(11,1),(12,1)}
        23:{3,4,6}:{(12,1),(13,1),(15,1),(32,1),(36,1),(37,1),(38,1),(39,1),(61,1),(68,1),(73,1),(102,1),(129,1)}
        24:{1,4}:{(13,1),(16,1),(33,1)}
        25:{2,4}:{(13,1),(17,1),(102,1)}
        26:{3,7}:{(14,1),(15,1),(41,1)}
        27:{1,6}:{(15,1),(16,1),(41,1)}
        28:{2,3,6}:{(15,1),(17,1),(39,1),(42,1),(43,1),(73,1),(94,1)}
        29:{1,2,5}:{(16,1),(17,1),(40,1),(43,1),(44,1),(99,1)}
        30:{1,4,5}:{(19,1),(21,1),(45,1),(52,1),(78,1)}
        31:{1,4,7}:{(18,1),(19,1),(22,1),(46,1)}
        32:{3,6}:{(19,1),(45,1),(46,1),(48,1)}
        33:{1,3}:{(24,1),(49,1),(57,1)}
        34:{5,6}:{(20,1),(50,1),(140,1)}
        35:{4,5,7}:{(20,1),(21,1),(22,1),(50,1),(51,1),(116,1),(140,1)}
        36:{3,5}:{(21,1),(23,1),(52,1),(53,1),(140,1)}
        37:{3,4,7}:{(22,1),(23,1),(26,1),(46,1),(51,1),(54,1),(55,1),(88,1),(116,1)}
        38:{1,4,6}:{(23,1),(24,1),(27,1),(47,1),(52,1),(54,1),(78,1),(84,1)}
        39:{2,4,6}:{(23,1),(25,1),(28,1),(48,1),(53,1),(55,1),(79,1),(85,1)}
        40:{1,2,4}:{(24,1),(25,1),(29,1),(49,1),(57,1),(60,1),(83,1)}
        41:{1,7}:{(26,1),(27,1)}
        42:{2,3,7}:{(26,1),(28,1),(55,1),(58,1),(88,1)}
        43:{1,2,6}:{(27,1),(28,1),(29,1),(58,1),(59,1),(109,1),(114,1)}
        44:{1,3,5}:{(29,1),(57,1),(59,1),(60,1),(87,1),(90,1),(92,1)}
        45:{3,5}:{(30,1),(32,1),(61,1),(63,1)}
        46:{3,7}:{(31,1),(32,1),(65,1)}
        47:{1,3,6}:{(32,1),(33,1),(38,1),(62,1),(64,1),(66,1),(73,1)}
        48:{2,6}:{(32,1),(63,1),(65,1)}
        49:{1,2}:{(33,1),(67,1)}
        50:{4,6}:{(34,1),(35,1),(68,1)}
        51:{3,5,7}:{(35,1),(36,1),(37,1),(68,1),(69,1),(70,1)}
        52:{1,5}:{(36,1),(38,1)}
        53:{2,5}:{(36,1),(39,1)}
        54:{1,4,7}:{(37,1),(38,1),(41,1),(64,1),(69,1)}
        55:{2,4,7}:{(37,1),(39,1),(42,1),(65,1),(70,1)}
        56:{1,2,4,6}:{(38,1),(39,1),(40,1),(43,1),(66,1),(71,1),(72,1),(73,1),(76,1),(95,1),(98,1),(100,1),(102,1),(129,1)}
        57:{3}:{(40,1)}
        58:{1,2,7}:{(41,1),(42,1),(43,1),(75,1),(128,1)}
        59:{1,3,6}:{(43,1),(44,1),(73,1),(75,1),(76,1),(105,1),(123,1)}
        60:{1,4}:{(44,1),(74,1),(102,1)}
        61:{3,4}:{(45,1),(78,1),(79,1),(110,1)}
        62:{1,3,5}:{(45,1),(47,1),(52,1),(78,1),(80,1),(87,1),(110,1)}
        63:{2,5}:{(45,1),(48,1),(79,1)}
        64:{1,3,7}:{(46,1),(47,1),(54,1),(81,1),(88,1)}
        65:{2,7}:{(46,1),(48,1)}
        66:{1,2,6}:{(47,1),(48,1),(49,1),(80,1),(81,1),(82,1),(150,1)}
        67:{2,3}:{(49,1),(57,1),(83,1)}
        68:{3,6}:{(50,1),(51,1),(84,1),(85,1)}
        69:{1,5,7}:{(51,1),(52,1),(54,1),(84,1)}
        70:{2,5,7}:{(51,1),(53,1),(55,1),(85,1)}
        71:{1,2,5}:{(52,1),(53,1),(56,1),(87,1),(92,1),(113,1),(140,1)}
        72:{1,2,4,7}:{(54,1),(55,1),(56,1),(58,1),(81,1),(86,1),(88,1),(91,1),(112,1),(116,1)}
        73:{3,6}:{(56,1),(57,1),(87,1),(88,1),(110,1)}
        74:{3,4}:{(57,1),(60,1),(83,1),(90,1)}
        75:{1,3,7}:{(58,1),(59,1),(88,1),(91,1),(120,1)}
        76:{1,4,6}:{(59,1),(60,1),(89,1),(91,1),(92,1),(121,1),(135,1),(150,1)}
        77:{1,4,5}:{(60,1),(90,1),(92,1),(93,1),(117,1)}
        78:{1,4}:{(61,1),(62,1),(102,1)}
        79:{2,4}:{(61,1),(63,1),(94,1)}
        80:{1,2,5}:{(62,1),(63,1),(66,1),(95,1),(96,1),(144,1)}
        81:{1,2,7}:{(64,1),(65,1),(66,1),(97,1),(153,1)}
        82:{2,3,6}:{(66,1),(67,1),(73,1),(96,1),(97,1),(98,1),(145,1)}
        83:{2,4}:{(67,1),(74,1),(99,1)}
        84:{1,6}:{(68,1),(69,1)}
        85:{2,6}:{(68,1),(70,1)}
        86:{1,2,5,7}:{(69,1),(70,1),(71,1),(72,1),(100,1),(101,1),(106,1),(126,1)}
        87:{3,5}:{(71,1),(73,1),(102,1)}
        88:{3,7}:{(72,1),(73,1)}
        89:{3,4,6}:{(73,1),(74,1),(76,1),(98,1),(102,1),(103,1),(104,1),(105,1),(124,1),(129,1),(131,1),(132,1),(145,1)}
        90:{3,5}:{(74,1),(77,1),(99,1),(105,1)}
        91:{1,4,7}:{(75,1),(76,1),(103,1),(106,1),(153,1)}
        92:{1,5}:{(76,1),(104,1)}
        93:{1,4,6}:{(77,1),(105,1),(107,1),(108,1),(131,1)}
        94:{2,3}:{(79,1),(109,1),(110,1)}
        95:{1,2,4}:{(78,1),(79,1),(80,1),(109,1),(110,1),(111,1),(135,1)}
        96:{2,3,5}:{(80,1),(82,1),(87,1),(110,1),(111,1),(113,1),(136,1)}
        97:{2,3,7}:{(81,1),(82,1),(88,1),(112,1),(151,1)}
        98:{2,4,6}:{(82,1),(83,1),(89,1),(111,1),(112,1),(113,1),(114,1),(138,1)}
        99:{2,5}:{(83,1),(90,1),(114,1)}
       100:{1,2,6}:{(84,1),(85,1),(86,1),(115,1),(121,1),(138,1)}
       101:{3,5,7}:{(86,1),(87,1),(88,1),(115,1),(116,1),(140,1)}
       102:{4}:{(87,1)}
       103:{3,4,7}:{(88,1),(89,1),(91,1),(112,1),(116,1),(118,1),(120,1),(142,1),(151,1)}
       104:{3,5}:{(89,1),(92,1),(113,1),(117,1),(140,1)}
       105:{3,6}:{(90,1),(93,1),(114,1),(120,1)}
       106:{1,5,7}:{(91,1),(92,1),(118,1),(121,1)}
       107:{1,5,6}:{(92,1),(93,1),(119,1),(121,1),(122,1),(150,1)}
       108:{1,4,7}:{(93,1),(120,1),(122,1),(142,1)}
       109:{1,2}:{(94,1),(123,1)}
       110:{3}:{(95,1)}
       111:{2,4}:{(96,1),(102,1),(124,1)}
       112:{2,4,7}:{(97,1),(98,1),(103,1),(126,1),(128,1)}
       113:{2,5}:{(98,1),(104,1)}
       114:{2,6}:{(99,1),(105,1),(128,1)}
       115:{3,6}:{(100,1),(101,1),(129,1)}
       116:{4,7}:{(101,1),(102,1),(129,1)}
       117:{4,5}:{(102,1),(104,1),(131,1)}
       118:{3,5,7}:{(103,1),(104,1),(106,1),(126,1),(130,1),(132,1)}
       119:{3,5,6}:{(104,1),(105,1),(107,1),(127,1),(131,1),(132,1),(133,1),(145,1),(148,1)}
       120:{3,7}:{(105,1),(108,1),(128,1)}
       121:{1,6}:{(106,1),(132,1)}
       122:{1,5,7}:{(107,1),(108,1),(133,1),(134,1),(153,1)}
       123:{1,3}:{(109,1),(110,1),(135,1)}
       124:{3,4}:{(110,1),(111,1),(135,1),(136,1)}
       125:{2,4,5}:{(111,1),(113,1),(117,1),(136,1),(137,1)}
       126:{2,5,7}:{(112,1),(113,1),(118,1),(138,1)}
       127:{2,5,6}:{(113,1),(114,1),(119,1),(137,1),(138,1),(139,1)}
       128:{2,7}:{(114,1),(120,1)}
       129:{4,6}:{(115,1),(116,1),(140,1)}
       130:{4,5,7}:{(116,1),(117,1),(118,1),(140,1),(141,1),(142,1),(152,1)}
       131:{4,6}:{(117,1),(119,1),(142,1)}
       132:{3,6}:{(118,1),(121,1),(138,1),(141,1)}
       133:{3,5,7}:{(119,1),(120,1),(122,1),(139,1),(142,1),(143,1),(151,1),(152,1)}
       134:{1,6,7}:{(121,1),(122,1),(143,1)}
       135:{1,4}:{(123,1),(124,1),(144,1)}
       136:{3,5}:{(124,1),(125,1),(144,1),(145,1)}
       137:{2,4,6}:{(125,1),(127,1),(131,1),(145,1),(146,1)}
       138:{2,6}:{(126,1),(132,1)}
       139:{2,5,7}:{(127,1),(128,1),(133,1),(146,1),(147,1)}
       140:{5}:{(129,1)}
       141:{4,6}:{(130,1),(132,1),(148,1)}
       142:{4,7}:{(131,1),(133,1)}
       143:{3,6,7}:{(132,1),(133,1),(134,1),(147,1),(149,1)}
       144:{1,5}:{(135,1),(136,1),(150,1)}
       145:{3,6}:{(136,1),(137,1),(150,1),(151,1)}
       146:{2,4,7}:{(137,1),(139,1),(142,1),(151,1)}
       147:{2,6,7}:{(138,1),(139,1),(143,1)}
       148:{5,6}:{(140,1),(141,1),(152,1)}
       149:{4,6,7}:{(141,1),(142,1),(143,1),(152,1)}
       150:{1,6}:{(144,1),(145,1),(153,1)}
       151:{3,7}:{(145,1),(146,1),(153,1)}
       152:{5,7}:{(148,1),(149,1)}
       153:{1,7}:{(150,1),(151,1)}

 308 :   0:{2,4,5,7}:{(1,1),(2,1),(10,1),(13,1),(34,1),(35,1),(37,1)}
         1:{3,5,7}:{(0,1),(3,1),(5,1),(7,1),(22,1)}
         2:{2,4,6}:{(0,1),(7,1),(8,1),(28,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(11,1),(31,1),(37,1),(60,1)}
         4:{2,4,6,7}:{(2,1),(12,1),(13,1),(37,1)}
         5:{1,5,7}:{(1,1),(9,1),(15,1),(33,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(14,1),(16,1),(31,1),(34,1),(58,1)}
         7:{3,6}:{(1,1),(2,1),(15,1)}
         8:{2,5,6}:{(2,1),(13,1),(17,1),(34,1),(63,1)}
         9:{1,4,7}:{(3,1),(5,1),(18,1),(20,1)}
        10:{2,4,7}:{(3,1),(6,1),(21,1),(71,1),(73,1)}
        11:{3,4,6}:{(3,1),(7,1),(20,1),(21,1),(22,1),(28,1),(45,1),(51,1),(68,1),(71,1)}
        12:{3,6,7}:{(4,1),(7,1),(23,1),(24,1)}
        13:{2,5,7}:{(4,1),(8,1),(24,1),(73,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(19,1),(25,1),(26,1),(46,1),(64,1)}
        15:{1,6}:{(5,1),(7,1)}
        16:{2,3,6}:{(6,1),(7,1),(21,1),(26,1),(45,1),(90,1)}
        17:{3,5,6}:{(7,1),(8,1),(22,1),(24,1),(27,1),(28,1),(51,1)}
        18:{1,3,7}:{(9,1),(29,1),(30,1),(31,1),(60,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(14,1),(29,1),(31,1),(32,1),(38,1),(52,1)}
        20:{1,4,6}:{(9,1),(11,1),(15,1),(30,1),(33,1),(55,1)}
        21:{2,4,6}:{(10,1),(11,1),(16,1),(34,1),(63,1),(80,1)}
        22:{3,5}:{(11,1),(33,1),(34,1),(35,1)}
        23:{1,6,7}:{(12,1),(15,1),(36,1)}
        24:{3,5,7}:{(12,1),(13,1),(17,1),(36,1),(37,1),(60,1)}
        25:{1,3,5,7}:{(14,1),(31,1),(38,1),(39,1),(56,1),(58,1),(62,1)}
        26:{1,2,6}:{(14,1),(15,1),(16,1),(39,1),(76,1),(97,1)}
        27:{1,5,6}:{(15,1),(17,1),(33,1),(36,1),(40,1)}
        28:{4,6}:{(17,1),(35,1),(37,1)}
        29:{1,2,7}:{(18,1),(41,1),(42,1),(73,1),(104,1)}
        30:{1,3,6}:{(18,1),(20,1),(42,1),(43,1),(45,1),(51,1)}
        31:{3,7}:{(19,1),(45,1)}
        32:{1,2,4,6}:{(19,1),(20,1),(21,1),(26,1),(42,1),(45,1),(46,1),(50,1),(65,1),(67,1),(71,1)}
        33:{1,5}:{(20,1),(22,1)}
        34:{2,5}:{(21,1),(22,1)}
        35:{4,5}:{(22,1),(28,1),(71,1)}
        36:{1,5,7}:{(23,1),(24,1),(27,1),(48,1)}
        37:{4,7}:{(24,1),(28,1)}
        38:{1,4,7}:{(25,1),(44,1),(50,1),(71,1),(104,1)}
        39:{1,3,6}:{(25,1),(26,1),(45,1),(50,1),(69,1),(89,1)}
        40:{1,4,6}:{(27,1),(28,1),(47,1),(48,1),(51,1)}
        41:{2,3,7}:{(29,1),(31,1),(52,1),(53,1),(102,1)}
        42:{1,2,6}:{(29,1),(30,1),(53,1),(54,1),(63,1),(103,1)}
        43:{1,3,5}:{(30,1),(33,1),(54,1),(55,1),(58,1),(59,1),(79,1)}
        44:{3,4,7}:{(31,1),(38,1),(52,1),(56,1),(57,1),(98,1),(102,1)}
        45:{3,6}:{(31,1),(32,1),(58,1),(79,1)}
        46:{1,2,5}:{(32,1),(33,1),(34,1),(58,1),(62,1),(77,1)}
        47:{1,4,5}:{(33,1),(35,1),(40,1),(55,1),(59,1)}
        48:{1,4,7}:{(36,1),(37,1),(40,1),(60,1)}
        49:{1,4,5,7}:{(38,1),(56,1),(61,1),(62,1),(83,1),(84,1),(98,1)}
        50:{1,4,6}:{(38,1),(39,1),(57,1),(62,1),(96,1),(103,1)}
        51:{3,6}:{(40,1),(59,1),(60,1),(63,1)}
        52:{2,4,7}:{(41,1),(44,1),(64,1),(65,1)}
        53:{2,3,6}:{(41,1),(42,1),(45,1),(65,1),(66,1),(100,1)}
        54:{1,2,5}:{(42,1),(43,1),(66,1),(67,1),(72,1),(101,1)}
        55:{1,4}:{(43,1),(68,1),(71,1)}
        56:{3,5,7}:{(44,1),(49,1),(64,1),(69,1),(70,1)}
        57:{3,4,6}:{(44,1),(45,1),(50,1),(65,1),(69,1),(70,1),(71,1),(88,1),(92,1),(100,1)}
        58:{3,5}:{(45,1),(46,1),(71,1)}
        59:{3,5}:{(47,1),(51,1),(68,1),(72,1)}
        60:{3,7}:{(48,1),(51,1),(73,1)}
        61:{1,4,6}:{(49,1),(69,1),(75,1),(92,1)}
        62:{1,5}:{(50,1),(70,1)}
        63:{2,6}:{(51,1),(72,1),(73,1)}
        64:{2,5,7}:{(52,1),(56,1),(76,1),(77,1)}
        65:{2,4,6}:{(52,1),(53,1),(57,1),(76,1),(77,1),(78,1)}
        66:{2,3,5}:{(53,1),(54,1),(58,1),(77,1),(78,1),(79,1),(95,1)}
        67:{1,2,4}:{(54,1),(55,1),(78,1),(79,1),(80,1),(96,1),(97,1)}
        68:{3,4}:{(55,1),(59,1),(79,1),(80,1)}
        69:{3,6}:{(56,1),(61,1),(76,1)}
        70:{3,5}:{(57,1),(62,1),(77,1),(83,1)}
        71:{4}:{(58,1)}
        72:{2,5}:{(59,1),(63,1),(80,1)}
        73:{2,7}:{(60,1),(63,1)}
        74:{1,4,6,7}:{(61,1),(81,1),(84,1),(98,1)}
        75:{1,5,6}:{(61,1),(62,1),(82,1),(84,1),(103,1)}
        76:{2,6}:{(64,1),(69,1)}
        77:{2,5}:{(65,1),(70,1)}
        78:{2,4}:{(66,1),(71,1),(88,1)}
        79:{3}:{(67,1)}
        80:{2,4}:{(68,1),(72,1),(90,1)}
        81:{3,6,7}:{(69,1),(74,1),(85,1),(91,1)}
        82:{3,5,6}:{(69,1),(70,1),(75,1),(86,1),(91,1),(92,1),(100,1)}
        83:{4,5}:{(70,1),(71,1),(92,1)}
        84:{1,5,7}:{(74,1),(75,1),(91,1),(104,1)}
        85:{2,6,7}:{(76,1),(81,1),(93,1)}
        86:{2,5,6}:{(76,1),(77,1),(82,1),(93,1),(94,1)}
        87:{2,4,5}:{(77,1),(78,1),(83,1),(94,1),(95,1)}
        88:{3,4}:{(78,1),(79,1),(95,1),(96,1)}
        89:{1,3}:{(79,1),(96,1),(97,1)}
        90:{2,3}:{(79,1),(80,1),(97,1)}
        91:{3,5,7}:{(81,1),(82,1),(84,1),(93,1),(98,1),(102,1)}
        92:{4,6}:{(82,1),(83,1),(98,1)}
        93:{2,5,7}:{(85,1),(86,1),(91,1),(99,1)}
        94:{2,4,6}:{(86,1),(87,1),(92,1),(99,1),(100,1)}
        95:{3,5}:{(87,1),(88,1),(100,1),(101,1)}
        96:{1,4}:{(88,1),(89,1),(101,1)}
        97:{1,2}:{(89,1),(90,1)}
        98:{4,7}:{(91,1),(92,1)}
        99:{2,4,7}:{(93,1),(94,1),(98,1),(102,1)}
       100:{3,6}:{(94,1),(95,1),(102,1),(103,1)}
       101:{1,5}:{(95,1),(96,1),(103,1)}
       102:{3,7}:{(99,1),(100,1),(104,1)}
       103:{1,6}:{(100,1),(101,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

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

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

 311 :   0:{3,4,5,7}:{(1,1),(2,1),(3,1),(19,1),(25,1),(81,1),(114,1),(121,1),(129,1),(132,1),(133,1)}
         1:{1,4,5,7}:{(0,1),(5,1),(8,1),(44,1),(52,1),(90,1),(143,1),(159,1)}
         2:{2,4,5,7}:{(0,1),(6,1),(9,1),(46,1),(84,1),(97,1),(111,1),(151,1)}
         3:{3,4,6}:{(0,1),(8,1),(9,1),(11,1),(41,1),(102,1)}
         4:{1,3,4,7}:{(5,1),(12,1),(13,1),(40,1),(90,1),(148,1),(188,1),(194,1)}
         5:{1,3,5,7}:{(1,1),(4,1),(15,1),(16,1),(19,1),(29,1),(168,1),(183,1),(204,1)}
         6:{2,3,5,7}:{(2,1),(14,1),(17,1),(18,1),(19,1),(55,1),(140,1),(176,1),(206,1)}
         7:{1,2,4,5,7}:{(1,1),(2,1),(15,1),(17,1),(19,1),(20,1),(56,1),(62,1),(71,1),(80,1),(113,1),(116,1),(119,1),(124,1),(127,1),(132,1),(133,1),(171,1),(179,1),(204,1),(206,1)}
         8:{1,4,6}:{(1,1),(3,1),(16,1),(22,1)}
         9:{2,4,6}:{(2,1),(3,1),(18,1),(24,1)}
        10:{3,4,6,7}:{(3,1),(21,1),(23,1),(25,1),(69,1),(78,1),(121,1),(129,1),(133,1),(134,1),(136,1)}
        11:{3,5,6}:{(3,1),(22,1),(24,1),(25,1),(26,1)}
        12:{1,2,4,7}:{(4,1),(15,1),(27,1),(28,1),(56,1),(202,1)}
        13:{1,3,4,6}:{(4,1),(16,1),(28,1),(29,1),(61,1),(68,1),(120,1),(138,1),(174,1)}
        14:{2,3,4,7}:{(6,1),(30,1),(31,1),(40,1),(97,1),(156,1),(165,1),(199,1)}
        15:{1,2,5,7}:{(5,1),(12,1),(32,1),(33,1),(51,1),(190,1),(200,1)}
        16:{1,3,6}:{(5,1),(8,1),(33,1),(41,1),(208,1)}
        17:{1,2,5,7}:{(6,1),(30,1),(36,1),(37,1),(83,1),(166,1),(195,1)}
        18:{2,3,6}:{(6,1),(9,1),(37,1),(41,1),(209,1)}
        19:{3,5,7}:{(7,1),(40,1),(41,1),(100,1),(110,1),(142,1),(148,1),(156,1)}
        20:{1,2,4,6}:{(7,1),(8,1),(9,1),(33,1),(37,1),(41,1),(43,1),(85,1),(92,1),(102,1),(191,1),(196,1),(208,1),(209,1)}
        21:{1,4,6,7}:{(8,1),(10,1),(34,1),(44,1),(90,1),(159,1),(163,1)}
        22:{1,5,6}:{(8,1),(11,1),(44,1)}
        23:{2,4,6,7}:{(9,1),(10,1),(38,1),(46,1),(97,1),(151,1),(162,1)}
        24:{2,5,6}:{(9,1),(11,1),(46,1)}
        25:{3,5,7}:{(10,1),(11,1),(44,1),(46,1),(49,1)}
        26:{4,5,6}:{(11,1),(49,1),(102,1)}
        27:{2,3,7}:{(12,1),(50,1),(148,1),(207,1)}
        28:{1,2,4,6}:{(12,1),(13,1),(33,1),(50,1),(51,1),(85,1),(109,1)}
        29:{1,3,5}:{(13,1),(51,1),(52,1),(100,1),(110,1),(193,1)}
        30:{1,2,4,7}:{(14,1),(17,1),(53,1),(54,1),(62,1),(187,1)}
        31:{2,3,4,6}:{(14,1),(18,1),(54,1),(55,1),(67,1),(68,1),(128,1),(167,1),(182,1)}
        32:{2,3,5,7}:{(15,1),(19,1),(27,1),(56,1),(57,1),(79,1),(116,1),(169,1),(184,1),(206,1)}
        33:{1,2,6}:{(15,1),(16,1),(57,1)}
        34:{1,3,6,7}:{(16,1),(21,1),(58,1),(60,1),(69,1),(134,1),(183,1)}
        35:{1,3,5,6}:{(16,1),(22,1),(29,1),(59,1),(60,1),(61,1),(70,1),(74,1),(120,1)}
        36:{1,3,5,7}:{(17,1),(19,1),(53,1),(62,1),(63,1),(112,1),(124,1),(139,1),(175,1),(204,1)}
        37:{1,2,6}:{(17,1),(18,1),(63,1)}
        38:{2,3,6,7}:{(18,1),(23,1),(64,1),(66,1),(69,1),(136,1),(176,1)}
        39:{2,3,5,6}:{(18,1),(24,1),(55,1),(65,1),(66,1),(67,1),(70,1),(77,1),(128,1)}
        40:{3,4,7}:{(19,1),(56,1),(62,1),(68,1),(133,1),(138,1),(167,1)}
        41:{3,6}:{(19,1),(20,1)}
        42:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(58,1),(64,1),(69,1),(71,1),(115,1),(119,1),(123,1),(127,1),(133,1)}
        43:{1,2,5,6}:{(20,1),(22,1),(24,1),(70,1),(71,1),(116,1),(124,1),(170,1),(178,1)}
        44:{1,5,7}:{(21,1),(22,1),(25,1)}
        45:{1,4,5,6}:{(22,1),(26,1),(61,1),(73,1),(74,1)}
        46:{2,5,7}:{(23,1),(24,1),(25,1)}
        47:{2,4,5,6}:{(24,1),(26,1),(67,1),(76,1),(77,1)}
        48:{3,5,6,7}:{(25,1),(72,1),(75,1),(78,1),(134,1),(136,1)}
        49:{4,5,7}:{(25,1),(26,1),(78,1),(133,1)}
        50:{2,3,6}:{(27,1),(28,1),(79,1),(120,1)}
        51:{1,2,5}:{(28,1),(29,1),(79,1),(116,1)}
        52:{1,4,5}:{(29,1),(61,1),(81,1),(132,1)}
        53:{1,3,7}:{(30,1),(82,1),(156,1),(201,1)}
        54:{1,2,4,6}:{(30,1),(31,1),(37,1),(82,1),(83,1),(92,1),(141,1)}
        55:{2,3,5}:{(31,1),(83,1),(84,1),(100,1),(142,1),(198,1)}
        56:{2,4,7}:{(32,1),(40,1),(85,1),(109,1),(189,1)}
        57:{2,3,6}:{(32,1),(33,1),(41,1),(85,1),(209,1)}
        58:{1,2,6,7}:{(33,1),(34,1),(86,1),(88,1),(162,1),(200,1),(208,1)}
        59:{1,2,5,6}:{(33,1),(35,1),(51,1),(87,1),(88,1),(89,1),(105,1),(193,1),(208,1)}
        60:{1,3,5,7}:{(34,1),(35,1),(44,1),(88,1),(90,1),(101,1),(104,1),(148,1)}
        61:{1,4,6}:{(35,1),(52,1),(90,1),(91,1),(102,1)}
        62:{1,4,7}:{(36,1),(40,1),(92,1),(141,1),(164,1)}
        63:{1,3,6}:{(36,1),(37,1),(41,1),(92,1),(208,1)}
        64:{1,2,6,7}:{(37,1),(38,1),(93,1),(95,1),(163,1),(195,1),(209,1)}
        65:{1,2,5,6}:{(37,1),(39,1),(83,1),(94,1),(95,1),(96,1),(108,1),(198,1),(209,1)}
        66:{2,3,5,7}:{(38,1),(39,1),(46,1),(95,1),(97,1),(101,1),(107,1),(156,1)}
        67:{2,4,6}:{(39,1),(84,1),(97,1),(98,1),(102,1)}
        68:{3,4,6}:{(40,1),(41,1),(85,1),(92,1),(100,1),(102,1)}
        69:{3,6,7}:{(41,1),(42,1),(101,1),(148,1),(156,1)}
        70:{3,5,6}:{(41,1),(43,1),(100,1),(101,1),(102,1)}
        71:{1,2,5,7}:{(42,1),(43,1),(44,1),(46,1),(101,1),(144,1),(152,1)}
        72:{1,5,6,7}:{(44,1),(48,1),(103,1),(163,1)}
        73:{1,4,5,7}:{(44,1),(45,1),(49,1),(90,1),(103,1),(104,1)}
        74:{3,5,6}:{(45,1),(91,1),(104,1),(105,1)}
        75:{2,5,6,7}:{(46,1),(48,1),(106,1),(162,1)}
        76:{2,4,5,7}:{(46,1),(47,1),(49,1),(97,1),(106,1),(107,1)}
        77:{3,5,6}:{(47,1),(98,1),(107,1),(108,1)}
        78:{4,6,7}:{(48,1),(49,1)}
        79:{2,3,5}:{(50,1),(51,1),(109,1),(110,1)}
        80:{1,2,4,5}:{(51,1),(52,1),(89,1),(109,1),(110,1),(111,1),(145,1),(164,1),(166,1),(193,1)}
        81:{3,4,5}:{(52,1),(91,1),(110,1),(111,1)}
        82:{1,3,6}:{(53,1),(54,1),(112,1),(128,1)}
        83:{1,2,5}:{(54,1),(55,1),(112,1),(124,1)}
        84:{2,4,5}:{(55,1),(67,1),(114,1),(132,1)}
        85:{2,4,6}:{(56,1),(57,1),(68,1),(116,1)}
        86:{2,3,6,7}:{(57,1),(58,1),(69,1),(115,1),(117,1),(184,1),(203,1)}
        87:{2,3,5,6}:{(57,1),(59,1),(70,1),(79,1),(116,1),(117,1),(118,1),(120,1),(170,1),(172,1),(203,1)}
        88:{1,2,5,7}:{(58,1),(59,1),(60,1),(117,1),(119,1),(135,1),(204,1)}
        89:{1,2,4,6}:{(59,1),(61,1),(80,1),(118,1),(119,1),(120,1),(122,1),(174,1),(177,1)}
        90:{1,4,7}:{(60,1),(61,1),(121,1),(133,1)}
        91:{3,4,6}:{(61,1),(74,1),(81,1),(120,1),(121,1),(122,1)}
        92:{1,4,6}:{(62,1),(63,1),(68,1),(124,1)}
        93:{1,3,6,7}:{(63,1),(64,1),(69,1),(123,1),(125,1),(175,1),(205,1)}
        94:{1,3,5,6}:{(63,1),(65,1),(70,1),(112,1),(124,1),(125,1),(126,1),(128,1),(178,1),(180,1),(205,1)}
        95:{1,2,5,7}:{(64,1),(65,1),(66,1),(125,1),(127,1),(137,1),(206,1)}
        96:{1,2,4,6}:{(65,1),(67,1),(113,1),(126,1),(127,1),(128,1),(130,1),(182,1),(185,1)}
        97:{2,4,7}:{(66,1),(67,1),(129,1),(133,1)}
        98:{3,4,6}:{(67,1),(77,1),(114,1),(128,1),(129,1),(130,1)}
        99:{3,4,6,7}:{(68,1),(69,1),(115,1),(123,1),(131,1),(133,1),(173,1),(181,1),(186,1),(203,1),(205,1)}
       100:{3,5}:{(68,1),(116,1),(124,1),(132,1)}
       101:{3,5,7}:{(69,1),(70,1),(71,1),(133,1)}
       102:{4,6}:{(70,1),(132,1),(133,1)}
       103:{1,4,6,7}:{(72,1),(73,1),(78,1),(134,1)}
       104:{3,5,7}:{(73,1),(74,1),(121,1),(134,1),(135,1)}
       105:{2,5,6}:{(74,1),(122,1),(135,1)}
       106:{2,4,6,7}:{(75,1),(76,1),(78,1),(136,1)}
       107:{3,5,7}:{(76,1),(77,1),(129,1),(136,1),(137,1)}
       108:{1,5,6}:{(77,1),(130,1),(137,1)}
       109:{2,4}:{(79,1),(138,1)}
       110:{3,5}:{(80,1),(120,1),(138,1)}
       111:{2,4,5}:{(81,1),(122,1),(140,1)}
       112:{1,3,5}:{(82,1),(83,1),(141,1),(142,1)}
       113:{1,2,4,5}:{(83,1),(84,1),(96,1),(141,1),(142,1),(143,1),(153,1),(189,1),(190,1),(198,1)}
       114:{3,4,5}:{(84,1),(98,1),(142,1),(143,1)}
       115:{2,4,6,7}:{(85,1),(86,1),(99,1),(144,1),(146,1),(191,1),(199,1),(209,1)}
       116:{2,5}:{(85,1),(100,1)}
       117:{2,3,5,7}:{(86,1),(87,1),(88,1),(101,1),(144,1),(146,1),(148,1),(192,1)}
       118:{2,4,6}:{(87,1),(102,1),(109,1),(145,1),(146,1),(147,1)}
       119:{1,2,4,7}:{(88,1),(89,1),(90,1),(146,1),(148,1),(151,1),(194,1),(195,1)}
       120:{3,6}:{(89,1),(110,1),(148,1)}
       121:{3,4,7}:{(90,1),(91,1),(104,1),(148,1),(151,1)}
       122:{2,4,6}:{(91,1),(105,1),(111,1),(150,1),(151,1)}
       123:{1,4,6,7}:{(92,1),(93,1),(99,1),(152,1),(154,1),(194,1),(196,1),(208,1)}
       124:{1,5}:{(92,1),(100,1)}
       125:{1,3,5,7}:{(93,1),(94,1),(95,1),(101,1),(152,1),(154,1),(156,1),(197,1)}
       126:{1,4,6}:{(94,1),(102,1),(141,1),(153,1),(154,1),(155,1)}
       127:{1,2,4,7}:{(95,1),(96,1),(97,1),(154,1),(156,1),(159,1),(199,1),(200,1)}
       128:{3,6}:{(96,1),(142,1),(156,1)}
       129:{3,4,7}:{(97,1),(98,1),(107,1),(156,1),(159,1)}
       130:{1,4,6}:{(98,1),(108,1),(143,1),(157,1),(159,1)}
       131:{3,5,7}:{(99,1),(100,1),(144,1),(152,1),(160,1),(161,1)}
       132:{4,5}:{(100,1),(102,1)}
       133:{4,7}:{(101,1),(102,1)}
       134:{3,6,7}:{(103,1),(104,1),(162,1)}
       135:{2,5,7}:{(104,1),(105,1),(151,1),(162,1)}
       136:{3,6,7}:{(106,1),(107,1),(163,1)}
       137:{1,5,7}:{(107,1),(108,1),(159,1),(163,1)}
       138:{3,4}:{(109,1),(110,1),(164,1)}
       139:{1,3,5}:{(110,1),(149,1),(164,1),(166,1),(193,1),(201,1)}
       140:{2,3,5}:{(110,1),(111,1),(150,1),(165,1),(166,1)}
       141:{1,4}:{(112,1),(167,1)}
       142:{3,5}:{(113,1),(128,1),(167,1)}
       143:{1,4,5}:{(114,1),(130,1),(168,1)}
       144:{2,5,7}:{(115,1),(116,1),(131,1),(170,1)}
       145:{2,4,5}:{(116,1),(118,1),(132,1),(172,1)}
       146:{2,4,7}:{(117,1),(118,1),(133,1),(173,1)}
       147:{3,4,6}:{(118,1),(120,1),(138,1),(172,1),(173,1),(174,1),(203,1)}
       148:{3,7}:{(119,1),(120,1)}
       149:{1,3,6}:{(120,1),(139,1),(174,1),(175,1),(177,1)}
       150:{2,3,6}:{(120,1),(122,1),(140,1),(176,1),(177,1)}
       151:{2,4,7}:{(121,1),(122,1),(135,1),(176,1)}
       152:{1,5,7}:{(123,1),(124,1),(131,1),(178,1)}
       153:{1,4,5}:{(124,1),(126,1),(132,1),(180,1)}
       154:{1,4,7}:{(125,1),(126,1),(133,1),(181,1)}
       155:{3,4,6}:{(126,1),(128,1),(167,1),(180,1),(181,1),(182,1),(205,1)}
       156:{3,7}:{(127,1),(128,1)}
       157:{1,3,6}:{(128,1),(130,1),(168,1),(183,1),(185,1)}
       158:{2,3,6}:{(128,1),(169,1),(182,1),(184,1),(185,1)}
       159:{1,4,7}:{(129,1),(130,1),(137,1),(183,1)}
       160:{3,5,6}:{(131,1),(170,1),(178,1),(186,1),(203,1),(205,1)}
       161:{4,5,7}:{(131,1),(132,1),(133,1),(186,1)}
       162:{2,6,7}:{(134,1),(135,1)}
       163:{1,6,7}:{(136,1),(137,1)}
       164:{1,4}:{(138,1),(139,1)}
       165:{2,3,4}:{(138,1),(140,1),(187,1)}
       166:{1,2,5}:{(139,1),(140,1),(177,1),(187,1)}
       167:{3,4}:{(141,1),(142,1),(189,1)}
       168:{1,3,5}:{(142,1),(143,1),(157,1),(188,1),(190,1)}
       169:{2,3,5}:{(142,1),(158,1),(189,1),(190,1),(198,1),(207,1)}
       170:{2,5,6}:{(144,1),(160,1),(191,1),(209,1)}
       171:{2,4,5,7}:{(144,1),(145,1),(146,1),(161,1),(191,1),(192,1)}
       172:{3,5}:{(145,1),(147,1),(193,1)}
       173:{3,4,7}:{(146,1),(147,1),(148,1),(192,1),(194,1)}
       174:{1,4,6}:{(147,1),(149,1),(164,1),(193,1),(194,1),(208,1)}
       175:{1,3,7}:{(148,1),(149,1),(194,1),(195,1)}
       176:{2,3,7}:{(148,1),(150,1),(151,1),(195,1)}
       177:{1,2,6}:{(149,1),(150,1),(166,1),(195,1)}
       178:{1,5,6}:{(152,1),(160,1),(196,1),(208,1)}
       179:{1,4,5,7}:{(152,1),(153,1),(154,1),(161,1),(196,1),(197,1)}
       180:{3,5}:{(153,1),(155,1),(198,1)}
       181:{3,4,7}:{(154,1),(155,1),(156,1),(197,1),(199,1)}
       182:{2,4,6}:{(155,1),(158,1),(189,1),(198,1),(199,1),(209,1)}
       183:{1,3,7}:{(156,1),(157,1),(159,1),(200,1)}
       184:{2,3,7}:{(156,1),(158,1),(199,1),(200,1)}
       185:{1,2,6}:{(157,1),(158,1),(190,1),(200,1)}
       186:{4,6}:{(160,1),(161,1)}
       187:{1,2,4}:{(164,1),(165,1),(166,1),(201,1)}
       188:{1,3,4}:{(167,1),(168,1),(202,1)}
       189:{2,4}:{(167,1),(169,1)}
       190:{1,2,5}:{(168,1),(169,1),(185,1),(202,1)}
       191:{2,4,6}:{(170,1),(171,1),(186,1),(203,1)}
       192:{3,5,7}:{(171,1),(172,1),(173,1),(203,1),(204,1)}
       193:{1,5}:{(172,1),(174,1)}
       194:{1,4,7}:{(173,1),(174,1),(175,1),(204,1)}
       195:{1,2,7}:{(175,1),(176,1),(177,1)}
       196:{1,4,6}:{(178,1),(179,1),(186,1),(205,1)}
       197:{3,5,7}:{(179,1),(180,1),(181,1),(205,1),(206,1)}
       198:{2,5}:{(180,1),(182,1)}
       199:{2,4,7}:{(181,1),(182,1),(184,1),(206,1)}
       200:{1,2,7}:{(183,1),(184,1),(185,1)}
       201:{1,3}:{(187,1)}
       202:{1,2,4}:{(188,1),(189,1),(190,1),(207,1)}
       203:{3,6}:{(191,1),(192,1),(208,1)}
       204:{1,5,7}:{(192,1),(193,1),(194,1),(208,1)}
       205:{3,6}:{(196,1),(197,1),(209,1)}
       206:{2,5,7}:{(197,1),(198,1),(199,1),(209,1)}
       207:{2,3}:{(202,1)}
       208:{1,6}:{(203,1),(204,1)}
       209:{2,6}:{(205,1),(206,1)}

 312 :  0:{3,4,5}:{(2,1),(3,1),(4,1),(27,1),(70,1)}
        1:{4,5,6}:{(8,1),(9,1),(61,1),(83,1)}
        2:{3,4,6}:{(0,1),(8,1),(10,1),(11,1),(12,1),(41,1),(61,1)}
        3:{1,4,5}:{(0,1),(6,1),(10,1)}
        4:{2,4,5}:{(0,1),(7,1),(11,1)}
        5:{1,3,4}:{(6,1),(14,1),(43,1)}
        6:{1,3,5}:{(3,1),(5,1),(16,1),(17,1),(27,1)}
        7:{2,3,5}:{(4,1),(15,1),(18,1),(19,1),(27,1)}
        8:{3,5,6}:{(1,1),(2,1),(20,1),(21,1),(22,1)}
        9:{4,5,7}:{(1,1),(22,1),(23,1),(71,1),(82,1)}
       10:{1,4,6}:{(2,1),(3,1),(16,1),(20,1),(25,1)}
       11:{2,4,6}:{(2,1),(4,1),(18,1),(21,1),(26,1)}
       12:{3,4,7}:{(2,1),(22,1),(25,1),(26,1),(56,1),(71,1)}
       13:{1,2,4,5}:{(3,1),(4,1),(17,1),(19,1),(24,1),(27,1),(47,1),(50,1),(66,1),(68,1),(70,1)}
       14:{1,2,4}:{(5,1),(17,1),(28,1),(47,1)}
       15:{2,3,4}:{(7,1),(29,1),(43,1)}
       16:{1,3,6}:{(6,1),(10,1),(30,1),(31,1),(41,1)}
       17:{1,2,5}:{(6,1),(14,1),(30,1),(32,1)}
       18:{2,3,6}:{(7,1),(11,1),(33,1),(34,1),(41,1)}
       19:{1,2,5}:{(7,1),(29,1),(33,1),(35,1)}
       20:{1,5,6}:{(8,1),(10,1),(37,1)}
       21:{2,5,6}:{(8,1),(11,1),(38,1)}
       22:{3,5,7}:{(8,1),(9,1),(12,1),(37,1),(38,1),(39,1)}
       23:{4,6,7}:{(9,1),(39,1),(40,1)}
       24:{1,2,4,6}:{(10,1),(11,1),(13,1),(30,1),(33,1),(36,1),(41,1),(42,1),(57,1),(59,1),(61,1)}
       25:{1,4,7}:{(10,1),(12,1),(31,1),(37,1)}
       26:{2,4,7}:{(11,1),(12,1),(34,1),(38,1)}
       27:{3,5}:{(13,1),(41,1),(43,1)}
       28:{2,3}:{(14,1)}
       29:{1,2,4}:{(15,1),(19,1),(44,1),(50,1)}
       30:{1,2,6}:{(16,1),(17,1),(45,1),(46,1)}
       31:{1,3,7}:{(16,1),(25,1),(46,1),(56,1)}
       32:{2,3,5}:{(17,1),(27,1),(28,1),(45,1),(47,1),(66,1)}
       33:{1,2,6}:{(18,1),(19,1),(48,1),(49,1)}
       34:{2,3,7}:{(18,1),(26,1),(49,1),(56,1)}
       35:{1,3,5}:{(19,1),(27,1),(44,1),(48,1),(50,1),(68,1)}
       36:{1,2,5,6}:{(20,1),(21,1),(24,1),(51,1),(52,1),(66,1),(68,1),(79,1),(80,1)}
       37:{1,5,7}:{(20,1),(22,1),(25,1),(53,1)}
       38:{2,5,7}:{(21,1),(22,1),(26,1),(54,1)}
       39:{3,6,7}:{(22,1),(23,1),(53,1),(54,1)}
       40:{5,6,7}:{(23,1),(82,1)}
       41:{3,6}:{(24,1),(27,1),(56,1)}
       42:{1,2,4,7}:{(24,1),(25,1),(26,1),(46,1),(49,1),(52,1),(56,1),(67,1),(69,1),(71,1)}
       43:{3,4}:{(27,1),(47,1),(50,1)}
       44:{1,3}:{(29,1)}
       45:{2,3,6}:{(30,1),(32,1),(41,1),(57,1),(58,1)}
       46:{1,2,7}:{(30,1),(31,1),(58,1)}
       47:{2,4}:{(32,1),(43,1)}
       48:{1,3,6}:{(33,1),(35,1),(41,1),(59,1),(60,1)}
       49:{1,2,7}:{(33,1),(34,1),(60,1)}
       50:{1,4}:{(35,1),(43,1)}
       51:{3,5,6}:{(36,1),(41,1),(61,1),(62,1),(64,1),(78,1),(83,1)}
       52:{1,2,5,7}:{(36,1),(37,1),(38,1),(42,1),(62,1),(63,1),(74,1),(75,1)}
       53:{1,6,7}:{(37,1),(39,1)}
       54:{2,6,7}:{(38,1),(39,1)}
       55:{3,4,6}:{(41,1),(43,1),(57,1),(59,1),(61,1),(64,1),(65,1),(78,1)}
       56:{3,7}:{(41,1),(42,1)}
       57:{2,4,6}:{(45,1),(47,1),(55,1),(66,1),(67,1),(79,1)}
       58:{2,3,7}:{(45,1),(46,1),(56,1),(67,1)}
       59:{1,4,6}:{(48,1),(50,1),(55,1),(68,1),(69,1),(80,1)}
       60:{1,3,7}:{(48,1),(49,1),(56,1),(69,1)}
       61:{4,6}:{(51,1),(70,1),(71,1)}
       62:{3,5,7}:{(51,1),(52,1),(56,1),(71,1),(72,1),(82,1)}
       63:{1,2,6,7}:{(52,1),(53,1),(54,1),(72,1),(79,1),(80,1)}
       64:{3,5}:{(55,1),(66,1),(68,1),(70,1)}
       65:{3,4,7}:{(55,1),(56,1),(67,1),(69,1),(71,1),(73,1)}
       66:{2,5}:{(57,1),(64,1)}
       67:{2,4,7}:{(57,1),(58,1),(65,1),(74,1)}
       68:{1,5}:{(59,1),(64,1)}
       69:{1,4,7}:{(59,1),(60,1),(65,1),(75,1)}
       70:{4,5}:{(61,1),(64,1)}
       71:{4,7}:{(61,1),(62,1)}
       72:{3,6,7}:{(62,1),(63,1),(77,1),(78,1)}
       73:{3,5,7}:{(64,1),(65,1),(74,1),(75,1),(76,1),(78,1)}
       74:{2,5,7}:{(66,1),(67,1),(73,1),(79,1)}
       75:{1,5,7}:{(68,1),(69,1),(73,1),(80,1)}
       76:{4,5,7}:{(70,1),(71,1),(73,1),(81,1),(82,1)}
       77:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       78:{3,6}:{(73,1),(79,1),(80,1),(81,1)}
       79:{2,6}:{(74,1),(78,1)}
       80:{1,6}:{(75,1),(78,1)}
       81:{4,6}:{(76,1),(78,1),(83,1)}
       82:{5,7}:{(77,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

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

 314 :   0:{3,4,6,7}:{(2,1),(3,1),(4,1),(19,1),(25,1),(31,1),(57,1),(60,1),(63,1),(65,1),(116,1)}
         1:{1,3,6,7}:{(2,1),(5,1),(6,1),(19,1),(63,1),(110,1),(119,1)}
         2:{1,4,6,7}:{(0,1),(1,1),(9,1),(16,1),(40,1),(84,1),(93,1),(141,1)}
         3:{2,4,6,7}:{(0,1),(7,1),(10,1),(35,1),(42,1),(51,1),(92,1),(142,1)}
         4:{3,5,7}:{(0,1),(9,1),(10,1),(11,1),(12,1),(140,1)}
         5:{1,2,6,7}:{(1,1),(13,1),(14,1),(92,1),(138,1),(144,1),(145,1)}
         6:{1,3,5,7}:{(1,1),(9,1),(14,1),(15,1),(16,1),(37,1),(41,1),(48,1)}
         7:{2,3,6,7}:{(3,1),(17,1),(18,1),(19,1),(65,1),(74,1),(120,1)}
         8:{1,2,4,6,7}:{(2,1),(3,1),(5,1),(17,1),(19,1),(20,1),(26,1),(29,1),(52,1),(55,1),(60,1),(61,1),(160,1)}
         9:{1,5,7}:{(2,1),(4,1),(21,1),(158,1)}
        10:{2,5,7}:{(3,1),(4,1),(23,1),(159,1)}
        11:{3,5,6}:{(4,1),(21,1),(23,1),(25,1),(63,1),(65,1)}
        12:{4,5,7}:{(4,1),(25,1),(60,1),(115,1)}
        13:{2,3,6,7}:{(5,1),(19,1),(26,1),(27,1),(111,1),(120,1),(122,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(27,1),(28,1),(29,1),(64,1),(123,1)}
        15:{1,3,5,6}:{(6,1),(21,1),(28,1),(30,1),(59,1),(63,1),(72,1),(75,1),(119,1),(127,1),(158,1),(172,1)}
        16:{1,4,7}:{(6,1),(30,1),(31,1),(60,1)}
        17:{1,2,6,7}:{(7,1),(32,1),(33,1),(93,1),(102,1),(144,1),(163,1)}
        18:{2,3,5,7}:{(7,1),(10,1),(33,1),(34,1),(35,1),(37,1),(43,1),(81,1)}
        19:{3,6,7}:{(8,1),(37,1),(48,1),(81,1),(89,1),(169,1)}
        20:{1,2,5,7}:{(8,1),(9,1),(10,1),(37,1),(38,1),(44,1),(77,1),(168,1)}
        21:{1,5,6}:{(9,1),(11,1),(40,1),(93,1)}
        22:{1,4,5,7}:{(9,1),(12,1),(16,1),(40,1),(41,1),(49,1)}
        23:{2,5,6}:{(10,1),(11,1),(42,1),(92,1)}
        24:{2,4,5,7}:{(10,1),(12,1),(35,1),(42,1),(43,1),(82,1)}
        25:{4,6}:{(11,1),(12,1)}
        26:{2,4,6,7}:{(13,1),(36,1),(44,1),(46,1),(94,1),(134,1),(142,1),(163,1)}
        27:{2,3,5,7}:{(13,1),(14,1),(37,1),(44,1),(45,1),(46,1),(48,1),(95,1)}
        28:{1,2,5,6}:{(14,1),(15,1),(45,1),(47,1),(92,1),(103,1),(144,1),(145,1),(146,1),(149,1),(168,1)}
        29:{1,2,4,7}:{(14,1),(16,1),(46,1),(47,1),(48,1),(51,1),(98,1),(102,1)}
        30:{1,4,6}:{(15,1),(16,1),(49,1),(50,1),(87,1),(147,1),(174,1)}
        31:{3,4,7}:{(16,1),(41,1),(48,1),(50,1),(51,1)}
        32:{1,3,6,7}:{(17,1),(19,1),(52,1),(53,1),(73,1),(119,1),(150,1)}
        33:{1,2,5,7}:{(17,1),(18,1),(53,1),(54,1),(55,1),(66,1),(151,1)}
        34:{2,3,5,6}:{(18,1),(23,1),(54,1),(56,1),(59,1),(65,1),(109,1),(112,1),(120,1),(156,1),(159,1),(172,1)}
        35:{2,4,7}:{(18,1),(56,1),(57,1),(60,1)}
        36:{3,4,6,7}:{(19,1),(26,1),(52,1),(58,1),(60,1),(70,1),(107,1),(114,1),(116,1),(122,1),(150,1)}
        37:{3,5,7}:{(19,1),(20,1),(59,1),(60,1),(172,1)}
        38:{1,2,5,6}:{(20,1),(21,1),(23,1),(59,1),(61,1),(67,1),(104,1),(158,1),(159,1)}
        39:{1,2,4,5,7}:{(20,1),(22,1),(24,1),(29,1),(55,1),(60,1),(61,1),(62,1),(64,1),(66,1),(68,1),(71,1),(105,1),(108,1),(115,1),(117,1),(118,1),(121,1),(123,1),(151,1),(158,1),(159,1)}
        40:{1,4,6}:{(21,1),(22,1),(25,1),(63,1)}
        41:{3,5,7}:{(22,1),(31,1),(63,1),(64,1),(75,1)}
        42:{2,4,6}:{(23,1),(24,1),(25,1),(65,1)}
        43:{3,5,7}:{(24,1),(57,1),(65,1),(66,1),(112,1)}
        44:{2,5,7}:{(26,1),(58,1),(67,1),(159,1)}
        45:{2,3,5,6}:{(27,1),(28,1),(59,1),(67,1),(69,1),(72,1),(120,1),(122,1),(124,1),(128,1),(159,1),(172,1)}
        46:{2,4,7}:{(27,1),(60,1),(69,1),(70,1)}
        47:{1,2,4,6}:{(28,1),(29,1),(30,1),(69,1),(71,1),(72,1),(76,1),(125,1),(129,1),(162,1)}
        48:{3,7}:{(29,1),(72,1)}
        49:{1,4,5}:{(30,1),(75,1),(115,1),(158,1)}
        50:{3,4,6}:{(30,1),(31,1),(63,1),(72,1),(75,1),(76,1),(126,1)}
        51:{2,4,7}:{(31,1),(64,1),(74,1),(76,1)}
        52:{1,4,6,7}:{(32,1),(36,1),(77,1),(79,1),(98,1),(130,1),(141,1),(145,1)}
        53:{1,3,5,7}:{(32,1),(33,1),(37,1),(77,1),(78,1),(79,1),(81,1),(131,1)}
        54:{1,2,5,6}:{(33,1),(34,1),(78,1),(80,1),(93,1),(139,1),(144,1),(163,1),(164,1),(167,1),(168,1)}
        55:{1,2,4,7}:{(33,1),(35,1),(79,1),(80,1),(81,1),(84,1),(134,1),(138,1)}
        56:{2,4,6}:{(34,1),(35,1),(82,1),(83,1),(87,1),(166,1),(174,1)}
        57:{3,4,7}:{(35,1),(43,1),(81,1),(83,1),(84,1)}
        58:{3,5,7}:{(36,1),(44,1),(77,1),(85,1),(86,1),(140,1)}
        59:{3,5,6}:{(37,1),(38,1),(87,1),(89,1),(140,1)}
        60:{4,7}:{(37,1),(87,1),(174,1)}
        61:{1,2,4,6}:{(38,1),(39,1),(40,1),(42,1),(87,1),(89,1),(92,1),(93,1),(94,1),(130,1),(141,1),(142,1),(144,1),(145,1),(163,1)}
        62:{3,5,7}:{(39,1),(48,1),(81,1),(88,1),(89,1),(99,1),(135,1),(140,1)}
        63:{3,6}:{(40,1),(41,1),(92,1)}
        64:{2,5,7}:{(41,1),(51,1),(92,1),(103,1)}
        65:{3,6}:{(42,1),(43,1),(93,1)}
        66:{1,5,7}:{(43,1),(84,1),(93,1),(139,1)}
        67:{2,5,6}:{(44,1),(85,1),(94,1),(163,1)}
        68:{2,4,5,7}:{(44,1),(46,1),(86,1),(94,1),(95,1),(96,1)}
        69:{2,4,6}:{(45,1),(46,1),(87,1),(96,1),(97,1),(148,1),(174,1)}
        70:{3,4,7}:{(46,1),(48,1),(95,1),(97,1),(98,1)}
        71:{1,2,4,5}:{(47,1),(49,1),(96,1),(99,1),(103,1),(146,1),(147,1),(148,1),(149,1),(168,1),(174,1)}
        72:{3,6}:{(47,1),(48,1),(99,1),(170,1)}
        73:{1,3,7}:{(48,1),(98,1),(100,1),(102,1)}
        74:{2,3,7}:{(48,1),(51,1),(101,1),(102,1)}
        75:{3,5}:{(49,1),(50,1),(103,1)}
        76:{2,4,6}:{(50,1),(51,1),(92,1),(101,1),(103,1),(148,1)}
        77:{1,5,7}:{(52,1),(58,1),(104,1),(158,1)}
        78:{1,3,5,6}:{(53,1),(54,1),(59,1),(104,1),(106,1),(109,1),(119,1),(150,1),(152,1),(155,1),(158,1),(172,1)}
        79:{1,4,7}:{(53,1),(60,1),(106,1),(107,1)}
        80:{1,2,4,6}:{(54,1),(55,1),(56,1),(106,1),(108,1),(109,1),(113,1),(153,1),(157,1),(171,1)}
        81:{3,7}:{(55,1),(109,1)}
        82:{2,4,5}:{(56,1),(112,1),(115,1),(159,1)}
        83:{3,4,6}:{(56,1),(57,1),(65,1),(109,1),(112,1),(113,1),(154,1)}
        84:{1,4,7}:{(57,1),(66,1),(110,1),(113,1)}
        85:{3,5,6}:{(58,1),(67,1),(104,1),(114,1),(122,1),(150,1)}
        86:{4,5,7}:{(58,1),(60,1),(114,1),(115,1)}
        87:{4,6}:{(59,1),(60,1),(115,1)}
        88:{3,4,7}:{(60,1),(62,1),(116,1),(117,1),(118,1),(126,1),(154,1),(161,1)}
        89:{3,6}:{(61,1),(62,1)}
        90:{1,3,5,7}:{(62,1),(66,1),(73,1),(110,1),(117,1),(119,1),(121,1),(123,1),(127,1),(155,1),(158,1),(161,1),(172,1)}
        91:{2,3,5,7}:{(62,1),(64,1),(74,1),(111,1),(118,1),(120,1),(121,1),(128,1),(151,1),(156,1),(159,1),(161,1),(172,1)}
        92:{2,6}:{(63,1),(64,1)}
        93:{1,6}:{(65,1),(66,1)}
        94:{2,4,6}:{(67,1),(68,1),(114,1),(122,1)}
        95:{3,5,7}:{(68,1),(70,1),(122,1),(123,1),(124,1)}
        96:{2,4,5}:{(69,1),(115,1),(124,1),(159,1)}
        97:{3,4,6}:{(69,1),(70,1),(72,1),(122,1),(124,1),(125,1),(126,1)}
        98:{1,4,7}:{(70,1),(73,1),(123,1),(125,1)}
        99:{3,5}:{(71,1),(72,1),(126,1)}
       100:{1,3,6}:{(72,1),(73,1),(125,1),(127,1),(129,1)}
       101:{2,3,6}:{(72,1),(74,1),(76,1),(128,1),(129,1)}
       102:{1,2,7}:{(73,1),(74,1),(129,1)}
       103:{2,5}:{(75,1),(76,1)}
       104:{1,5,6}:{(77,1),(85,1),(130,1),(145,1)}
       105:{1,4,5,7}:{(77,1),(79,1),(86,1),(130,1),(131,1),(132,1)}
       106:{1,4,6}:{(78,1),(79,1),(87,1),(132,1),(133,1),(165,1),(174,1)}
       107:{3,4,7}:{(79,1),(81,1),(131,1),(133,1),(134,1)}
       108:{1,2,4,5}:{(80,1),(82,1),(132,1),(135,1),(139,1),(164,1),(165,1),(166,1),(167,1),(168,1),(174,1)}
       109:{3,6}:{(80,1),(81,1),(135,1),(173,1)}
       110:{1,3,7}:{(81,1),(84,1),(136,1),(138,1)}
       111:{2,3,7}:{(81,1),(134,1),(137,1),(138,1)}
       112:{3,5}:{(82,1),(83,1),(139,1)}
       113:{1,4,6}:{(83,1),(84,1),(93,1),(136,1),(139,1),(165,1)}
       114:{4,6}:{(85,1),(86,1)}
       115:{4,5}:{(87,1),(140,1),(174,1)}
       116:{3,4,6}:{(87,1),(88,1),(89,1),(140,1),(141,1),(142,1),(169,1),(174,1)}
       117:{1,4,7}:{(88,1),(90,1),(141,1),(147,1),(165,1),(174,1)}
       118:{2,4,7}:{(88,1),(91,1),(142,1),(148,1),(166,1),(174,1)}
       119:{1,3,6}:{(89,1),(90,1),(93,1),(141,1),(144,1),(145,1),(169,1)}
       120:{2,3,6}:{(89,1),(91,1),(92,1),(142,1),(144,1),(163,1),(169,1)}
       121:{1,2,5,7}:{(90,1),(91,1),(102,1),(138,1),(143,1),(144,1),(149,1),(167,1),(168,1)}
       122:{3,6}:{(94,1),(95,1),(145,1)}
       123:{1,5,7}:{(95,1),(98,1),(145,1),(146,1)}
       124:{3,5}:{(96,1),(97,1),(146,1)}
       125:{1,4,6}:{(97,1),(98,1),(100,1),(145,1),(146,1),(147,1)}
       126:{3,4}:{(99,1),(147,1),(148,1),(170,1),(174,1)}
       127:{1,3,5}:{(99,1),(100,1),(146,1),(147,1),(149,1),(170,1)}
       128:{2,3,5}:{(99,1),(101,1),(103,1),(148,1),(149,1),(170,1)}
       129:{1,2,6}:{(100,1),(101,1),(102,1),(149,1)}
       130:{1,4,6}:{(104,1),(105,1),(114,1),(150,1)}
       131:{3,5,7}:{(105,1),(107,1),(150,1),(151,1),(152,1)}
       132:{1,4,5}:{(106,1),(115,1),(152,1),(158,1)}
       133:{3,4,6}:{(106,1),(107,1),(109,1),(150,1),(152,1),(153,1),(154,1)}
       134:{2,4,7}:{(107,1),(111,1),(151,1),(153,1)}
       135:{3,5}:{(108,1),(109,1),(154,1)}
       136:{1,3,6}:{(109,1),(110,1),(113,1),(155,1),(157,1)}
       137:{2,3,6}:{(109,1),(111,1),(153,1),(156,1),(157,1)}
       138:{1,2,7}:{(110,1),(111,1),(157,1)}
       139:{1,5}:{(112,1),(113,1)}
       140:{3,5}:{(115,1),(116,1),(158,1),(159,1)}
       141:{1,4,6}:{(116,1),(117,1),(119,1),(158,1)}
       142:{2,4,6}:{(116,1),(118,1),(120,1),(159,1)}
       143:{1,2,4,7}:{(117,1),(118,1),(121,1),(160,1),(161,1),(162,1),(171,1)}
       144:{1,2,6}:{(119,1),(120,1),(121,1)}
       145:{1,6}:{(122,1),(123,1)}
       146:{1,5}:{(124,1),(125,1)}
       147:{1,4}:{(126,1),(127,1)}
       148:{2,4}:{(126,1),(128,1)}
       149:{1,2,5}:{(127,1),(128,1),(129,1),(162,1)}
       150:{3,6}:{(130,1),(131,1),(163,1)}
       151:{2,5,7}:{(131,1),(134,1),(163,1),(164,1)}
       152:{3,5}:{(132,1),(133,1),(164,1)}
       153:{2,4,6}:{(133,1),(134,1),(137,1),(163,1),(164,1),(166,1)}
       154:{3,4}:{(135,1),(165,1),(166,1),(173,1),(174,1)}
       155:{1,3,5}:{(135,1),(136,1),(139,1),(165,1),(167,1),(173,1)}
       156:{2,3,5}:{(135,1),(137,1),(164,1),(166,1),(167,1),(173,1)}
       157:{1,2,6}:{(136,1),(137,1),(138,1),(167,1)}
       158:{1,5}:{(140,1),(141,1)}
       159:{2,5}:{(140,1),(142,1)}
       160:{1,2,4,6}:{(141,1),(142,1),(143,1),(144,1),(168,1),(169,1),(174,1)}
       161:{3,7}:{(143,1),(169,1),(170,1),(173,1)}
       162:{1,2,4}:{(147,1),(148,1),(149,1),(170,1)}
       163:{2,6}:{(150,1),(151,1)}
       164:{2,5}:{(152,1),(153,1)}
       165:{1,4}:{(154,1),(155,1)}
       166:{2,4}:{(154,1),(156,1)}
       167:{1,2,5}:{(155,1),(156,1),(157,1),(171,1)}
       168:{1,2,5}:{(158,1),(159,1),(160,1),(172,1)}
       169:{3,6}:{(160,1),(161,1),(172,1)}
       170:{3}:{(162,1)}
       171:{1,2,4}:{(165,1),(166,1),(167,1),(173,1)}
       172:{3,5}:{(168,1),(169,1),(174,1)}
       173:{3}:{(171,1)}
       174:{4}:{(172,1)}

 315 :   0:{1,3,6,7}:{(2,1),(4,1),(5,1),(20,1),(76,1),(118,1),(145,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(24,1),(27,1),(29,1),(63,1),(68,1),(76,1),(118,1),(151,1),(168,1)}
         2:{1,2,6,7}:{(0,1),(7,1),(10,1),(101,1),(125,1),(139,1),(159,1)}
         3:{1,2,5,6}:{(1,1),(8,1),(10,1),(11,1),(51,1),(83,1),(97,1),(101,1),(125,1),(139,1),(162,1)}
         4:{1,4,6,7}:{(0,1),(12,1),(13,1),(15,1),(49,1),(133,1),(135,1),(140,1)}
         5:{1,3,5,7}:{(0,1),(1,1),(10,1),(13,1),(15,1),(39,1),(43,1),(50,1)}
         6:{1,4,6}:{(1,1),(14,1),(15,1),(16,1),(90,1),(92,1),(172,1)}
         7:{2,3,6,7}:{(2,1),(17,1),(18,1),(20,1),(105,1),(119,1),(146,1)}
         8:{2,3,5,6}:{(3,1),(18,1),(19,1),(24,1),(55,1),(57,1),(63,1),(69,1),(105,1),(119,1),(152,1),(168,1)}
         9:{1,2,4,6,7}:{(2,1),(4,1),(17,1),(20,1),(21,1),(23,1),(25,1),(53,1),(60,1),(64,1),(66,1),(108,1),(153,1)}
        10:{1,2,5,7}:{(2,1),(3,1),(5,1),(18,1),(23,1),(77,1),(106,1)}
        11:{1,2,4,6}:{(3,1),(6,1),(19,1),(22,1),(23,1),(24,1),(31,1),(59,1),(72,1),(117,1)}
        12:{3,4,6,7}:{(4,1),(20,1),(25,1),(26,1),(30,1),(64,1),(75,1),(76,1),(112,1),(114,1),(121,1)}
        13:{1,5,7}:{(4,1),(26,1),(27,1),(151,1)}
        14:{1,4,5}:{(6,1),(29,1),(113,1),(151,1)}
        15:{1,4,7}:{(5,1),(6,1),(30,1),(64,1)}
        16:{3,4,6}:{(6,1),(24,1),(29,1),(30,1),(31,1),(65,1),(76,1)}
        17:{2,4,6,7}:{(7,1),(32,1),(33,1),(35,1),(81,1),(130,1),(136,1),(155,1)}
        18:{2,3,5,7}:{(7,1),(8,1),(10,1),(33,1),(35,1),(39,1),(43,1),(82,1)}
        19:{2,4,6}:{(8,1),(34,1),(35,1),(36,1),(90,1),(93,1),(172,1)}
        20:{3,6,7}:{(9,1),(39,1),(43,1),(94,1),(127,1),(163,1)}
        21:{1,2,5,7}:{(9,1),(13,1),(33,1),(39,1),(40,1),(46,1),(78,1),(162,1)}
        22:{1,2,4,5}:{(11,1),(14,1),(34,1),(42,1),(51,1),(83,1),(92,1),(93,1),(97,1),(162,1),(172,1)}
        23:{1,2,4,7}:{(10,1),(11,1),(15,1),(35,1),(43,1),(52,1),(84,1),(98,1)}
        24:{3,6}:{(11,1),(42,1),(43,1),(138,1)}
        25:{2,4,6,7}:{(12,1),(38,1),(46,1),(52,1),(89,1),(99,1),(101,1),(136,1)}
        26:{3,5,7}:{(12,1),(13,1),(46,1),(47,1),(48,1),(134,1)}
        27:{1,5,6}:{(13,1),(47,1),(49,1),(140,1)}
        28:{1,4,5,7}:{(13,1),(14,1),(15,1),(48,1),(49,1),(50,1)}
        29:{3,5}:{(14,1),(16,1),(51,1)}
        30:{3,4,7}:{(15,1),(16,1),(43,1),(50,1),(52,1)}
        31:{2,4,6}:{(16,1),(45,1),(51,1),(52,1),(93,1),(101,1)}
        32:{3,4,6,7}:{(17,1),(20,1),(53,1),(54,1),(58,1),(64,1),(104,1),(105,1),(110,1),(114,1),(141,1)}
        33:{2,5,7}:{(17,1),(54,1),(55,1),(152,1)}
        34:{2,4,5}:{(19,1),(57,1),(113,1),(152,1)}
        35:{2,4,7}:{(18,1),(19,1),(58,1),(64,1)}
        36:{3,4,6}:{(19,1),(24,1),(57,1),(58,1),(59,1),(65,1),(105,1)}
        37:{1,3,6,7}:{(20,1),(53,1),(60,1),(61,1),(70,1),(118,1),(141,1)}
        38:{2,3,6,7}:{(20,1),(25,1),(60,1),(62,1),(71,1),(119,1),(121,1)}
        39:{3,5,7}:{(20,1),(21,1),(63,1),(64,1),(168,1)}
        40:{1,2,5,6}:{(21,1),(27,1),(55,1),(63,1),(66,1),(73,1),(102,1),(151,1),(152,1)}
        41:{1,2,4,5,7}:{(21,1),(22,1),(23,1),(28,1),(56,1),(64,1),(66,1),(67,1),(74,1),(77,1),(103,1),(106,1),(108,1),(113,1),(115,1),(116,1),(120,1),(122,1),(142,1),(143,1),(151,1),(152,1)}
        42:{3,5}:{(22,1),(24,1),(65,1)}
        43:{3,7}:{(23,1),(24,1)}
        44:{1,3,6}:{(24,1),(59,1),(68,1),(70,1),(72,1)}
        45:{2,3,6}:{(24,1),(31,1),(69,1),(71,1),(72,1)}
        46:{2,5,7}:{(25,1),(26,1),(73,1),(152,1)}
        47:{3,5,6}:{(26,1),(27,1),(73,1),(75,1),(76,1),(121,1)}
        48:{4,5,7}:{(26,1),(64,1),(75,1),(113,1)}
        49:{1,4,6}:{(27,1),(28,1),(75,1),(76,1)}
        50:{3,5,7}:{(28,1),(29,1),(30,1),(76,1),(77,1)}
        51:{2,5}:{(29,1),(31,1)}
        52:{2,4,7}:{(30,1),(31,1),(71,1),(77,1)}
        53:{1,4,6,7}:{(32,1),(37,1),(78,1),(84,1),(87,1),(123,1),(125,1),(135,1)}
        54:{3,5,7}:{(32,1),(33,1),(78,1),(79,1),(80,1),(134,1)}
        55:{2,5,6}:{(33,1),(79,1),(81,1),(155,1)}
        56:{2,4,5,7}:{(33,1),(34,1),(35,1),(80,1),(81,1),(82,1)}
        57:{3,5}:{(34,1),(36,1),(83,1)}
        58:{3,4,7}:{(35,1),(36,1),(43,1),(82,1),(84,1)}
        59:{1,4,6}:{(36,1),(44,1),(83,1),(84,1),(92,1),(125,1)}
        60:{1,2,6,7}:{(37,1),(38,1),(85,1),(98,1),(139,1),(140,1),(155,1)}
        61:{1,3,5,7}:{(37,1),(39,1),(78,1),(85,1),(86,1),(87,1),(124,1),(127,1)}
        62:{2,3,5,7}:{(38,1),(39,1),(46,1),(85,1),(88,1),(89,1),(100,1),(127,1)}
        63:{3,5,6}:{(39,1),(40,1),(90,1),(94,1),(134,1)}
        64:{4,7}:{(39,1),(90,1),(172,1)}
        65:{3,4}:{(42,1),(92,1),(93,1),(138,1),(172,1)}
        66:{1,2,4,6}:{(40,1),(41,1),(49,1),(81,1),(90,1),(94,1),(99,1),(101,1),(123,1),(125,1),(135,1),(136,1),(139,1),(140,1),(155,1)}
        67:{3,5,7}:{(41,1),(42,1),(43,1),(91,1),(94,1),(127,1),(134,1),(156,1)}
        68:{1,3,5}:{(42,1),(44,1),(83,1),(92,1),(97,1),(138,1)}
        69:{2,3,5}:{(42,1),(45,1),(51,1),(93,1),(97,1),(138,1)}
        70:{1,3,7}:{(43,1),(44,1),(84,1),(98,1)}
        71:{2,3,7}:{(43,1),(45,1),(52,1),(98,1)}
        72:{1,2,6}:{(44,1),(45,1),(97,1),(98,1)}
        73:{2,5,6}:{(46,1),(47,1),(99,1),(101,1)}
        74:{2,4,5,7}:{(46,1),(48,1),(89,1),(99,1),(100,1),(131,1)}
        75:{4,6}:{(47,1),(48,1)}
        76:{3,6}:{(49,1),(50,1),(101,1)}
        77:{2,5,7}:{(50,1),(51,1),(52,1),(101,1)}
        78:{1,5,7}:{(53,1),(54,1),(102,1),(151,1)}
        79:{3,5,6}:{(54,1),(55,1),(102,1),(104,1),(105,1),(141,1)}
        80:{4,5,7}:{(54,1),(64,1),(104,1),(113,1)}
        81:{2,4,6}:{(55,1),(56,1),(104,1),(105,1)}
        82:{3,5,7}:{(56,1),(57,1),(58,1),(105,1),(106,1)}
        83:{1,5}:{(57,1),(59,1)}
        84:{1,4,7}:{(58,1),(59,1),(70,1),(106,1)}
        85:{1,2,5,7}:{(60,1),(61,1),(62,1),(107,1),(108,1),(122,1),(142,1)}
        86:{1,3,5,6}:{(61,1),(63,1),(102,1),(107,1),(109,1),(118,1),(141,1),(144,1),(147,1),(151,1),(165,1),(168,1)}
        87:{1,4,7}:{(61,1),(64,1),(109,1),(110,1)}
        88:{2,3,5,6}:{(62,1),(63,1),(73,1),(107,1),(111,1),(119,1),(121,1),(144,1),(149,1),(152,1),(166,1),(168,1)}
        89:{2,4,7}:{(62,1),(64,1),(111,1),(112,1)}
        90:{4,6}:{(63,1),(64,1),(113,1)}
        91:{3,4,7}:{(64,1),(65,1),(67,1),(114,1),(115,1),(116,1),(154,1),(164,1)}
        92:{1,4}:{(65,1),(68,1)}
        93:{2,4}:{(65,1),(69,1)}
        94:{3,6}:{(66,1),(67,1)}
        95:{1,3,5,7}:{(67,1),(68,1),(70,1),(106,1),(115,1),(118,1),(120,1),(122,1),(145,1),(151,1),(154,1),(165,1),(168,1)}
        96:{2,3,5,7}:{(67,1),(69,1),(71,1),(77,1),(116,1),(119,1),(120,1),(142,1),(146,1),(152,1),(154,1),(166,1),(168,1)}
        97:{1,2,5}:{(68,1),(69,1),(72,1),(117,1)}
        98:{1,2,7}:{(70,1),(71,1),(72,1)}
        99:{2,4,6}:{(73,1),(74,1),(75,1),(121,1)}
       100:{3,5,7}:{(74,1),(112,1),(121,1),(122,1),(149,1)}
       101:{2,6}:{(76,1),(77,1)}
       102:{1,5,6}:{(78,1),(79,1),(123,1),(125,1)}
       103:{1,4,5,7}:{(78,1),(80,1),(87,1),(123,1),(124,1),(128,1)}
       104:{4,6}:{(79,1),(80,1)}
       105:{3,6}:{(81,1),(82,1),(125,1)}
       106:{1,5,7}:{(82,1),(83,1),(84,1),(125,1)}
       107:{1,2,5,6}:{(85,1),(86,1),(88,1),(126,1),(139,1),(140,1),(155,1),(160,1),(161,1),(162,1),(171,1)}
       108:{1,2,4,7}:{(85,1),(87,1),(89,1),(126,1),(127,1),(130,1),(133,1),(159,1)}
       109:{1,4,6}:{(86,1),(87,1),(90,1),(128,1),(129,1),(169,1),(172,1)}
       110:{3,4,7}:{(87,1),(124,1),(127,1),(129,1),(130,1)}
       111:{2,4,6}:{(88,1),(89,1),(90,1),(131,1),(132,1),(170,1),(172,1)}
       112:{3,4,7}:{(89,1),(100,1),(127,1),(132,1),(133,1)}
       113:{4,5}:{(90,1),(134,1),(172,1)}
       114:{3,4,6}:{(90,1),(91,1),(94,1),(134,1),(135,1),(136,1),(163,1),(172,1)}
       115:{1,4,7}:{(91,1),(92,1),(95,1),(135,1),(169,1),(172,1)}
       116:{2,4,7}:{(91,1),(93,1),(96,1),(136,1),(170,1),(172,1)}
       117:{1,2,4}:{(92,1),(93,1),(97,1),(138,1)}
       118:{1,3,6}:{(94,1),(95,1),(125,1),(135,1),(139,1),(140,1),(163,1)}
       119:{2,3,6}:{(94,1),(96,1),(101,1),(136,1),(139,1),(155,1),(163,1)}
       120:{1,2,5,7}:{(95,1),(96,1),(97,1),(98,1),(137,1),(139,1),(159,1),(162,1),(171,1)}
       121:{3,6}:{(99,1),(100,1),(140,1)}
       122:{1,5,7}:{(100,1),(133,1),(140,1),(161,1)}
       123:{1,4,6}:{(102,1),(103,1),(104,1),(141,1)}
       124:{3,5,7}:{(103,1),(110,1),(141,1),(142,1),(147,1)}
       125:{1,6}:{(105,1),(106,1)}
       126:{1,2,4,6}:{(107,1),(108,1),(109,1),(111,1),(143,1),(144,1),(148,1),(150,1),(167,1),(173,1)}
       127:{3,7}:{(108,1),(144,1)}
       128:{1,4,5}:{(109,1),(113,1),(147,1),(151,1)}
       129:{3,4,6}:{(109,1),(110,1),(141,1),(144,1),(147,1),(148,1),(164,1)}
       130:{2,4,7}:{(110,1),(142,1),(146,1),(148,1)}
       131:{2,4,5}:{(111,1),(113,1),(149,1),(152,1)}
       132:{3,4,6}:{(111,1),(112,1),(121,1),(144,1),(149,1),(150,1),(164,1)}
       133:{1,4,7}:{(112,1),(122,1),(145,1),(150,1)}
       134:{3,5}:{(113,1),(114,1),(151,1),(152,1)}
       135:{1,4,6}:{(114,1),(115,1),(118,1),(151,1)}
       136:{2,4,6}:{(114,1),(116,1),(119,1),(152,1)}
       137:{1,2,4,7}:{(115,1),(116,1),(117,1),(120,1),(153,1),(154,1),(173,1)}
       138:{3}:{(117,1)}
       139:{1,2,6}:{(118,1),(119,1),(120,1)}
       140:{1,6}:{(121,1),(122,1)}
       141:{3,6}:{(123,1),(124,1),(155,1)}
       142:{2,5,7}:{(124,1),(130,1),(155,1),(160,1)}
       143:{1,2,4,5}:{(126,1),(128,1),(131,1),(156,1),(160,1),(161,1),(162,1),(169,1),(170,1),(171,1),(172,1)}
       144:{3,6}:{(126,1),(127,1),(156,1),(174,1)}
       145:{1,3,7}:{(127,1),(133,1),(157,1),(159,1)}
       146:{2,3,7}:{(127,1),(130,1),(158,1),(159,1)}
       147:{3,5}:{(128,1),(129,1),(160,1)}
       148:{2,4,6}:{(129,1),(130,1),(155,1),(158,1),(160,1),(170,1)}
       149:{3,5}:{(131,1),(132,1),(161,1)}
       150:{1,4,6}:{(132,1),(133,1),(140,1),(157,1),(161,1),(169,1)}
       151:{1,5}:{(134,1),(135,1)}
       152:{2,5}:{(134,1),(136,1)}
       153:{1,2,4,6}:{(135,1),(136,1),(137,1),(139,1),(162,1),(163,1),(172,1)}
       154:{3,7}:{(137,1),(138,1),(163,1),(174,1)}
       155:{2,6}:{(141,1),(142,1)}
       156:{3,5}:{(143,1),(144,1),(164,1)}
       157:{1,3,6}:{(144,1),(145,1),(150,1),(165,1),(167,1)}
       158:{2,3,6}:{(144,1),(146,1),(148,1),(166,1),(167,1)}
       159:{1,2,7}:{(145,1),(146,1),(167,1)}
       160:{2,5}:{(147,1),(148,1)}
       161:{1,5}:{(149,1),(150,1)}
       162:{1,2,5}:{(151,1),(152,1),(153,1),(168,1)}
       163:{3,6}:{(153,1),(154,1),(168,1)}
       164:{3,4}:{(156,1),(169,1),(170,1),(172,1),(174,1)}
       165:{1,3,5}:{(156,1),(157,1),(161,1),(169,1),(171,1),(174,1)}
       166:{2,3,5}:{(156,1),(158,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,2,6}:{(157,1),(158,1),(159,1),(171,1)}
       168:{3,5}:{(162,1),(163,1),(172,1)}
       169:{1,4}:{(164,1),(165,1)}
       170:{2,4}:{(164,1),(166,1)}
       171:{1,2,5}:{(165,1),(166,1),(167,1),(173,1)}
       172:{4}:{(168,1)}
       173:{1,2,4}:{(169,1),(170,1),(171,1),(174,1)}
       174:{3}:{(173,1)}

 316 :   0:{1,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(16,1),(39,1),(44,1),(45,1),(85,1),(87,1),(120,1),(147,1)}
         1:{1,2,5,6}:{(0,1),(5,1),(6,1),(7,1),(24,1),(61,1),(66,1),(68,1),(105,1),(110,1),(135,1)}
         2:{1,4,6}:{(0,1),(4,1),(8,1),(9,1),(58,1),(108,1),(158,1)}
         3:{1,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(25,1),(33,1),(37,1),(77,1)}
         4:{1,4,5}:{(2,1),(12,1),(120,1),(122,1)}
         5:{2,3,5,6}:{(1,1),(14,1),(15,1),(16,1),(40,1),(46,1),(86,1),(87,1),(91,1),(92,1),(121,1),(147,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(14,1),(16,1),(17,1),(19,1),(48,1),(51,1),(80,1)}
         7:{1,2,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(43,1),(90,1)}
         8:{3,4,6}:{(2,1),(12,1),(16,1),(19,1),(20,1),(38,1),(44,1)}
         9:{1,4,7}:{(2,1),(3,1),(20,1),(98,1)}
        10:{1,3,6,7}:{(3,1),(18,1),(21,1),(44,1),(54,1),(85,1),(156,1)}
        11:{1,2,4,5}:{(4,1),(6,1),(22,1),(24,1),(27,1),(58,1),(59,1),(61,1),(68,1),(135,1),(158,1)}
        12:{3,5}:{(4,1),(8,1),(24,1)}
        13:{1,4,5,7}:{(4,1),(9,1),(25,1),(26,1),(37,1),(79,1)}
        14:{2,4,6}:{(5,1),(27,1),(28,1),(29,1),(59,1),(108,1),(158,1)}
        15:{2,3,5,7}:{(5,1),(7,1),(29,1),(30,1),(33,1),(69,1),(73,1),(77,1)}
        16:{3,6}:{(6,1),(22,1),(33,1),(100,1)}
        17:{1,2,4,7}:{(6,1),(7,1),(9,1),(29,1),(33,1),(35,1),(71,1),(74,1)}
        18:{1,2,6,7}:{(7,1),(10,1),(30,1),(66,1),(105,1),(110,1),(165,1)}
        19:{2,4,6}:{(8,1),(24,1),(32,1),(35,1),(59,1),(66,1)}
        20:{3,4,7}:{(8,1),(9,1),(25,1),(33,1),(35,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(26,1),(36,1),(37,1),(102,1),(141,1),(146,1)}
        22:{3,5}:{(11,1),(16,1),(38,1)}
        23:{1,2,4,5,7}:{(11,1),(13,1),(17,1),(41,1),(42,1),(43,1),(47,1),(55,1),(81,1),(82,1),(84,1),(90,1),(98,1),(99,1),(120,1),(121,1),(122,1),(129,1),(130,1),(133,1),(148,1),(155,1)}
        24:{2,5}:{(12,1),(19,1)}
        25:{3,5,7}:{(12,1),(13,1),(20,1),(43,1),(44,1)}
        26:{1,4,6}:{(13,1),(44,1),(45,1),(89,1)}
        27:{2,4,5}:{(14,1),(46,1),(121,1),(122,1)}
        28:{3,4,6}:{(14,1),(16,1),(38,1),(46,1),(48,1),(49,1),(91,1)}
        29:{2,4,7}:{(14,1),(15,1),(49,1),(98,1)}
        30:{2,3,6,7}:{(15,1),(18,1),(50,1),(54,1),(86,1),(91,1),(157,1)}
        31:{1,3,6}:{(16,1),(39,1),(48,1),(51,1),(52,1)}
        32:{2,3,6}:{(16,1),(19,1),(40,1),(51,1),(53,1)}
        33:{3,7}:{(16,1),(17,1)}
        34:{1,2,4,6,7}:{(17,1),(18,1),(21,1),(42,1),(50,1),(54,1),(55,1),(56,1),(93,1),(95,1),(98,1),(119,1),(130,1)}
        35:{2,4,7}:{(19,1),(20,1),(43,1),(53,1)}
        36:{3,4,6,7}:{(20,1),(21,1),(44,1),(54,1),(56,1),(57,1),(83,1),(89,1),(98,1),(126,1),(132,1)}
        37:{1,5,7}:{(21,1),(45,1),(57,1),(120,1)}
        38:{3,4}:{(22,1),(58,1),(59,1),(100,1),(158,1)}
        39:{1,3,5}:{(22,1),(31,1),(58,1),(61,1),(68,1),(100,1)}
        40:{2,3,5}:{(22,1),(24,1),(32,1),(59,1),(61,1),(100,1)}
        41:{3,5,7}:{(22,1),(23,1),(33,1),(60,1),(64,1),(104,1),(144,1),(159,1)}
        42:{1,2,4,6}:{(23,1),(26,1),(64,1),(65,1),(66,1),(70,1),(102,1),(103,1),(105,1),(108,1),(109,1),(110,1),(141,1),(142,1),(164,1)}
        43:{2,5,7}:{(24,1),(25,1),(35,1),(66,1)}
        44:{3,6}:{(25,1),(26,1),(66,1)}
        45:{1,5,6}:{(26,1),(37,1),(67,1),(141,1)}
        46:{3,5}:{(27,1),(28,1),(68,1)}
        47:{2,4,5,7}:{(27,1),(29,1),(69,1),(70,1),(73,1),(113,1)}
        48:{1,4,6}:{(28,1),(31,1),(58,1),(68,1),(71,1),(110,1)}
        49:{3,4,7}:{(28,1),(29,1),(33,1),(69,1),(71,1)}
        50:{2,4,6,7}:{(29,1),(30,1),(70,1),(72,1),(73,1),(103,1),(145,1),(164,1)}
        51:{1,2,6}:{(31,1),(32,1),(61,1),(74,1)}
        52:{1,3,7}:{(31,1),(33,1),(71,1),(74,1)}
        53:{2,3,7}:{(32,1),(33,1),(35,1),(74,1)}
        54:{3,6,7}:{(33,1),(34,1),(64,1),(77,1),(134,1),(144,1)}
        55:{1,2,5,7}:{(34,1),(37,1),(65,1),(73,1),(77,1),(78,1),(112,1),(135,1)}
        56:{2,4,6,7}:{(35,1),(36,1),(66,1),(76,1),(78,1),(103,1),(109,1),(116,1)}
        57:{3,5,7}:{(36,1),(37,1),(67,1),(78,1),(79,1),(104,1)}
        58:{1,4}:{(38,1),(39,1)}
        59:{2,4}:{(38,1),(40,1)}
        60:{3,4,7}:{(38,1),(41,1),(81,1),(82,1),(83,1),(98,1),(118,1),(166,1)}
        61:{1,2,5}:{(39,1),(40,1),(51,1),(80,1)}
        62:{1,3,5,7}:{(39,1),(41,1),(52,1),(81,1),(84,1),(85,1),(90,1),(118,1),(120,1),(133,1),(147,1),(156,1),(167,1)}
        63:{2,3,5,7}:{(40,1),(41,1),(43,1),(53,1),(82,1),(84,1),(86,1),(118,1),(121,1),(147,1),(155,1),(157,1),(168,1)}
        64:{3,6}:{(41,1),(42,1)}
        65:{1,2,5,6}:{(42,1),(45,1),(55,1),(87,1),(88,1),(92,1),(120,1),(121,1),(127,1)}
        66:{2,6}:{(43,1),(44,1)}
        67:{3,5,6}:{(44,1),(45,1),(57,1),(88,1),(89,1),(126,1)}
        68:{1,5}:{(46,1),(48,1)}
        69:{3,5,7}:{(46,1),(47,1),(49,1),(90,1),(91,1)}
        70:{2,4,6}:{(47,1),(91,1),(92,1),(128,1)}
        71:{1,4,7}:{(48,1),(49,1),(52,1),(90,1)}
        72:{3,4,6,7}:{(49,1),(50,1),(54,1),(83,1),(91,1),(93,1),(94,1),(98,1),(128,1),(131,1),(154,1)}
        73:{2,5,7}:{(50,1),(92,1),(94,1),(121,1)}
        74:{1,2,7}:{(51,1),(52,1),(53,1)}
        75:{1,3,6,7}:{(52,1),(54,1),(85,1),(93,1),(95,1),(96,1),(154,1)}
        76:{2,3,6,7}:{(53,1),(54,1),(56,1),(86,1),(95,1),(97,1),(126,1)}
        77:{3,5,7}:{(54,1),(55,1),(87,1),(98,1),(147,1)}
        78:{2,5,7}:{(56,1),(57,1),(88,1),(121,1)}
        79:{4,5,7}:{(57,1),(89,1),(98,1),(122,1)}
        80:{1,2,4}:{(58,1),(59,1),(61,1),(100,1)}
        81:{1,4,7}:{(58,1),(60,1),(62,1),(102,1),(158,1),(170,1)}
        82:{2,4,7}:{(59,1),(60,1),(63,1),(103,1),(158,1),(171,1)}
        83:{3,4,6}:{(60,1),(64,1),(102,1),(103,1),(104,1),(108,1),(134,1),(158,1)}
        84:{1,2,5,7}:{(61,1),(62,1),(63,1),(74,1),(101,1),(105,1),(135,1),(165,1),(172,1)}
        85:{1,3,6}:{(62,1),(64,1),(102,1),(105,1),(110,1),(134,1),(141,1)}
        86:{2,3,6}:{(63,1),(64,1),(66,1),(103,1),(105,1),(134,1),(164,1)}
        87:{3,5,6}:{(64,1),(65,1),(77,1),(104,1),(108,1)}
        88:{2,5,6}:{(66,1),(67,1),(78,1),(109,1)}
        89:{4,6}:{(67,1),(79,1)}
        90:{1,5,7}:{(68,1),(69,1),(71,1),(110,1)}
        91:{3,6}:{(69,1),(70,1),(110,1)}
        92:{2,5,6}:{(70,1),(73,1),(111,1),(164,1)}
        93:{1,4,6,7}:{(71,1),(72,1),(75,1),(102,1),(110,1),(112,1),(115,1),(142,1)}
        94:{3,5,7}:{(72,1),(73,1),(104,1),(111,1),(112,1),(113,1)}
        95:{1,2,6,7}:{(74,1),(75,1),(76,1),(105,1),(114,1),(141,1),(164,1)}
        96:{1,3,5,7}:{(75,1),(77,1),(106,1),(112,1),(114,1),(115,1),(143,1),(144,1)}
        97:{2,3,5,7}:{(76,1),(77,1),(78,1),(107,1),(114,1),(116,1),(117,1),(144,1)}
        98:{4,7}:{(77,1),(108,1),(158,1)}
        99:{2,4,5,7}:{(78,1),(79,1),(109,1),(116,1),(117,1),(137,1)}
       100:{3}:{(80,1)}
       101:{1,2,4,7}:{(80,1),(81,1),(82,1),(84,1),(118,1),(119,1),(173,1)}
       102:{1,4,6}:{(81,1),(83,1),(85,1),(120,1)}
       103:{2,4,6}:{(82,1),(83,1),(86,1),(121,1)}
       104:{3,5}:{(83,1),(120,1),(121,1),(122,1)}
       105:{1,2,6}:{(84,1),(85,1),(86,1)}
       106:{1,3,5,6}:{(85,1),(87,1),(96,1),(120,1),(123,1),(124,1),(127,1),(147,1),(149,1),(151,1),(154,1),(167,1)}
       107:{2,3,5,6}:{(86,1),(87,1),(88,1),(97,1),(121,1),(123,1),(125,1),(126,1),(147,1),(150,1),(151,1),(168,1)}
       108:{4,6}:{(87,1),(98,1),(122,1)}
       109:{2,4,6}:{(88,1),(89,1),(99,1),(126,1)}
       110:{1,6}:{(90,1),(91,1)}
       111:{3,5,6}:{(91,1),(92,1),(94,1),(127,1),(128,1),(154,1)}
       112:{1,5,7}:{(93,1),(94,1),(120,1),(127,1)}
       113:{4,5,7}:{(94,1),(98,1),(122,1),(128,1)}
       114:{1,2,5,7}:{(95,1),(96,1),(97,1),(123,1),(130,1),(133,1),(155,1)}
       115:{1,4,7}:{(96,1),(98,1),(124,1),(131,1)}
       116:{2,4,7}:{(97,1),(98,1),(125,1),(132,1)}
       117:{3,5,7}:{(99,1),(126,1),(132,1),(133,1),(150,1)}
       118:{3,7}:{(100,1),(101,1),(134,1),(174,1)}
       119:{1,2,4,6}:{(101,1),(102,1),(103,1),(105,1),(134,1),(135,1),(158,1)}
       120:{1,5}:{(102,1),(104,1)}
       121:{2,5}:{(103,1),(104,1)}
       122:{4,5}:{(104,1),(108,1),(158,1)}
       123:{1,2,5,6}:{(105,1),(106,1),(107,1),(114,1),(135,1),(138,1),(141,1),(160,1),(161,1),(164,1),(172,1)}
       124:{1,4,6}:{(106,1),(108,1),(115,1),(136,1),(139,1),(158,1),(170,1)}
       125:{2,4,6}:{(107,1),(108,1),(116,1),(137,1),(140,1),(158,1),(171,1)}
       126:{3,6}:{(109,1),(117,1),(141,1)}
       127:{1,5,6}:{(110,1),(111,1),(112,1),(142,1)}
       128:{4,6}:{(111,1),(113,1)}
       129:{1,4,5,7}:{(112,1),(113,1),(115,1),(136,1),(142,1),(143,1)}
       130:{1,2,4,7}:{(114,1),(115,1),(116,1),(138,1),(144,1),(145,1),(146,1),(165,1)}
       131:{3,4,7}:{(115,1),(139,1),(143,1),(144,1),(145,1)}
       132:{3,4,7}:{(116,1),(117,1),(140,1),(144,1),(146,1)}
       133:{1,5,7}:{(117,1),(141,1),(146,1),(161,1)}
       134:{3,6}:{(118,1),(119,1),(147,1)}
       135:{1,2,5}:{(119,1),(120,1),(121,1),(147,1)}
       136:{1,4,5}:{(120,1),(122,1),(124,1),(149,1)}
       137:{2,4,5}:{(121,1),(122,1),(125,1),(150,1)}
       138:{1,2,4,6}:{(123,1),(124,1),(125,1),(130,1),(148,1),(151,1),(152,1),(153,1),(169,1),(173,1)}
       139:{3,4,6}:{(124,1),(131,1),(149,1),(151,1),(152,1),(154,1),(166,1)}
       140:{3,4,6}:{(125,1),(126,1),(132,1),(150,1),(151,1),(153,1),(166,1)}
       141:{1,6}:{(126,1),(133,1)}
       142:{1,4,6}:{(127,1),(128,1),(129,1),(154,1)}
       143:{3,5,7}:{(129,1),(131,1),(149,1),(154,1),(155,1)}
       144:{3,7}:{(130,1),(151,1)}
       145:{2,4,7}:{(131,1),(152,1),(155,1),(157,1)}
       146:{1,4,7}:{(132,1),(133,1),(153,1),(156,1)}
       147:{3,5}:{(134,1),(135,1),(158,1)}
       148:{1,2,4,5}:{(135,1),(136,1),(137,1),(138,1),(158,1),(159,1),(160,1),(161,1),(170,1),(171,1),(172,1)}
       149:{3,5}:{(136,1),(139,1),(160,1)}
       150:{3,5}:{(137,1),(140,1),(161,1)}
       151:{3,6}:{(138,1),(144,1),(159,1),(174,1)}
       152:{2,4,6}:{(139,1),(145,1),(160,1),(163,1),(164,1),(171,1)}
       153:{1,4,6}:{(140,1),(141,1),(146,1),(161,1),(162,1),(170,1)}
       154:{3,6}:{(142,1),(143,1),(164,1)}
       155:{2,5,7}:{(143,1),(145,1),(160,1),(164,1)}
       156:{1,3,7}:{(144,1),(146,1),(162,1),(165,1)}
       157:{2,3,7}:{(144,1),(145,1),(163,1),(165,1)}
       158:{4}:{(147,1)}
       159:{3,5}:{(148,1),(151,1),(166,1)}
       160:{2,5}:{(149,1),(152,1)}
       161:{1,5}:{(150,1),(153,1)}
       162:{1,3,6}:{(151,1),(153,1),(156,1),(167,1),(169,1)}
       163:{2,3,6}:{(151,1),(152,1),(157,1),(168,1),(169,1)}
       164:{2,6}:{(154,1),(155,1)}
       165:{1,2,7}:{(156,1),(157,1),(169,1)}
       166:{3,4}:{(158,1),(159,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(159,1),(161,1),(162,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(159,1),(160,1),(163,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(162,1),(163,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

 317 :   0:{1,4,5,6}:{(2,1),(3,1),(14,1),(37,1),(91,1)}
         1:{1,5,6,7}:{(4,1),(6,1),(70,1),(74,1)}
         2:{1,4,5,7}:{(0,1),(6,1),(7,1),(26,1),(28,1),(74,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(9,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(12,1),(16,1),(45,1),(48,1)}
         5:{3,4,6}:{(3,1),(10,1),(13,1),(14,1),(15,1),(52,1)}
         6:{1,4,6,7}:{(1,1),(2,1),(12,1),(16,1)}
         7:{3,5,7}:{(2,1),(3,1),(13,1),(16,1),(18,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(35,1),(52,1),(84,1),(91,1),(146,1)}
         9:{2,5,6}:{(3,1),(15,1),(18,1)}
        10:{3,4,5}:{(5,1),(21,1),(22,1),(66,1)}
        11:{2,5,6,7}:{(4,1),(24,1),(32,1),(75,1)}
        12:{4,6,7}:{(4,1),(26,1)}
        13:{3,4,7}:{(5,1),(7,1),(28,1),(29,1),(77,1)}
        14:{1,4,6}:{(5,1),(8,1),(21,1),(28,1),(166,1)}
        15:{2,4,6}:{(5,1),(9,1),(22,1),(25,1),(29,1)}
        16:{3,6,7}:{(6,1),(7,1),(32,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(28,1),(31,1),(33,1),(74,1),(77,1),(130,1)}
        18:{2,5,7}:{(7,1),(9,1),(29,1),(32,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(30,1),(33,1),(34,1),(58,1),(112,1),(129,1),(172,1)}
        20:{3,4,5,7}:{(10,1),(13,1),(38,1),(39,1),(40,1),(48,1),(94,1),(97,1),(135,1),(153,1),(183,1)}
        21:{1,4,5}:{(10,1),(14,1),(35,1),(183,1)}
        22:{2,4,5}:{(10,1),(15,1),(36,1)}
        23:{1,3,4,6}:{(14,1),(35,1),(42,1),(43,1),(52,1),(84,1),(95,1),(102,1),(147,1)}
        24:{2,4,6,7}:{(11,1),(12,1),(44,1),(45,1)}
        25:{2,3,6}:{(15,1),(36,1),(46,1),(47,1),(52,1)}
        26:{4,5,7}:{(12,1),(37,1),(48,1),(153,1)}
        27:{3,4,6,7}:{(12,1),(13,1),(16,1),(38,1),(45,1),(48,1),(49,1),(50,1),(97,1),(104,1),(153,1)}
        28:{1,4,7}:{(13,1),(14,1),(17,1),(153,1)}
        29:{2,4,7}:{(13,1),(15,1),(18,1),(46,1)}
        30:{1,2,4,6}:{(14,1),(15,1),(19,1),(41,1),(47,1),(51,1),(52,1),(55,1),(102,1)}
        31:{1,3,6,7}:{(16,1),(17,1),(49,1),(53,1),(84,1),(104,1),(148,1)}
        32:{2,6,7}:{(16,1),(18,1)}
        33:{1,2,5,7}:{(17,1),(18,1),(19,1),(51,1),(53,1),(54,1),(152,1)}
        34:{2,3,5,6}:{(19,1),(52,1),(54,1),(55,1),(86,1),(106,1),(139,1),(146,1),(155,1),(156,1),(178,1)}
        35:{1,3,5}:{(21,1),(23,1),(58,1),(66,1),(129,1),(167,1)}
        36:{2,3,5}:{(22,1),(25,1),(56,1),(61,1),(66,1)}
        37:{4,5,6}:{(26,1),(62,1),(166,1)}
        38:{3,4,6}:{(20,1),(62,1),(63,1),(64,1),(122,1),(166,1)}
        39:{1,4,5,7}:{(20,1),(21,1),(28,1),(57,1),(63,1),(74,1),(124,1),(157,1)}
        40:{2,4,5,7}:{(20,1),(22,1),(29,1),(60,1),(64,1),(75,1),(125,1),(158,1)}
        41:{1,2,4,5}:{(21,1),(22,1),(30,1),(58,1),(61,1),(66,1),(81,1),(114,1),(120,1),(129,1)}
        42:{1,3,4,7}:{(23,1),(28,1),(57,1),(67,1),(77,1),(123,1),(128,1),(189,1)}
        43:{1,2,4,6}:{(23,1),(58,1),(67,1),(68,1),(112,1),(114,1),(161,1)}
        44:{2,4,5,7}:{(24,1),(26,1),(59,1),(69,1),(75,1),(125,1)}
        45:{3,6,7}:{(24,1),(69,1),(70,1)}
        46:{2,3,7}:{(25,1),(29,1),(72,1),(77,1)}
        47:{1,2,6}:{(25,1),(61,1),(72,1),(73,1)}
        48:{3,5,7}:{(26,1),(27,1),(62,1),(74,1),(75,1)}
        49:{1,4,6,7}:{(27,1),(28,1),(31,1),(63,1),(70,1),(74,1),(124,1)}
        50:{2,4,6,7}:{(27,1),(29,1),(32,1),(64,1),(71,1),(75,1),(125,1)}
        51:{1,2,4,7}:{(28,1),(29,1),(30,1),(33,1),(72,1),(77,1),(80,1),(128,1)}
        52:{3,6}:{(30,1),(66,1),(77,1)}
        53:{1,2,6,7}:{(31,1),(32,1),(33,1),(79,1),(112,1),(168,1),(172,1)}
        54:{2,3,5,7}:{(33,1),(34,1),(77,1),(79,1),(80,1),(130,1),(132,1),(133,1)}
        55:{2,4,6}:{(34,1),(78,1),(80,1),(81,1),(114,1),(166,1)}
        56:{2,3,4}:{(36,1),(83,1),(95,1)}
        57:{1,3,5,7}:{(35,1),(39,1),(42,1),(84,1),(85,1),(94,1),(148,1),(152,1),(175,1)}
        58:{1,2,5}:{(35,1),(43,1),(86,1),(178,1)}
        59:{2,4,5,6}:{(37,1),(44,1),(87,1),(92,1),(142,1)}
        60:{2,3,5,7}:{(36,1),(40,1),(46,1),(82,1),(88,1),(89,1),(94,1),(136,1),(204,1)}
        61:{1,2,5}:{(36,1),(47,1),(83,1),(90,1)}
        62:{3,5,6}:{(37,1),(38,1),(48,1),(91,1),(92,1)}
        63:{1,4,6}:{(38,1),(39,1),(84,1),(91,1)}
        64:{2,4,6}:{(38,1),(40,1),(88,1),(92,1)}
        65:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(51,1),(85,1),(89,1),(93,1),(94,1),(103,1),(108,1),(140,1),(145,1),(149,1),(152,1),(153,1),(176,1),(178,1),(182,1),(183,1),(186,1),(204,1)}
        66:{3,5}:{(41,1),(52,1),(95,1)}
        67:{1,2,4,7}:{(42,1),(43,1),(85,1),(96,1),(140,1),(199,1)}
        68:{2,3,6}:{(43,1),(52,1),(86,1),(96,1)}
        69:{3,5,7}:{(44,1),(45,1),(87,1),(97,1),(98,1)}
        70:{1,6,7}:{(45,1),(98,1)}
        71:{2,3,6,7}:{(45,1),(46,1),(50,1),(88,1),(99,1),(100,1),(104,1)}
        72:{1,2,7}:{(46,1),(47,1),(101,1)}
        73:{1,3,6}:{(47,1),(52,1),(90,1),(101,1),(102,1)}
        74:{1,5,7}:{(48,1),(49,1),(91,1)}
        75:{2,5,7}:{(48,1),(50,1),(92,1)}
        76:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(53,1),(93,1),(100,1),(103,1),(104,1),(107,1),(149,1),(151,1),(153,1)}
        77:{3,7}:{(51,1),(52,1)}
        78:{3,4,6}:{(52,1),(55,1),(95,1),(102,1),(105,1),(106,1),(155,1)}
        79:{2,3,6,7}:{(53,1),(54,1),(104,1),(107,1),(139,1),(155,1),(184,1)}
        80:{2,4,7}:{(54,1),(55,1),(105,1),(153,1)}
        81:{2,4,5}:{(55,1),(106,1),(178,1),(183,1)}
        82:{2,3,4,7}:{(56,1),(60,1),(109,1),(110,1),(123,1),(125,1),(169,1),(196,1)}
        83:{1,2,4}:{(56,1),(61,1),(111,1),(120,1)}
        84:{1,3,6}:{(57,1),(63,1),(112,1),(122,1),(172,1)}
        85:{1,2,5,7}:{(57,1),(58,1),(67,1),(112,1),(113,1),(168,1),(190,1)}
        86:{2,3,5}:{(58,1),(66,1),(68,1),(114,1)}
        87:{3,5,6}:{(59,1),(69,1),(115,1),(116,1)}
        88:{2,3,6}:{(60,1),(64,1),(118,1),(122,1),(209,1)}
        89:{1,2,5,7}:{(60,1),(61,1),(72,1),(110,1),(118,1),(119,1),(159,1)}
        90:{1,3,5}:{(61,1),(66,1),(73,1),(111,1),(120,1),(129,1)}
        91:{1,5,6}:{(62,1),(63,1),(74,1)}
        92:{2,5,6}:{(62,1),(64,1),(75,1)}
        93:{1,2,4,6}:{(63,1),(64,1),(65,1),(112,1),(118,1),(121,1),(122,1),(134,1),(161,1),(165,1),(166,1),(172,1),(198,1),(209,1)}
        94:{3,5,7}:{(65,1),(66,1),(77,1),(122,1),(123,1),(167,1),(169,1),(191,1)}
        95:{3,4}:{(66,1),(114,1),(120,1)}
        96:{2,3,7}:{(67,1),(68,1),(77,1),(206,1)}
        97:{3,4,7}:{(69,1),(115,1),(124,1),(125,1),(169,1)}
        98:{1,5,7}:{(69,1),(70,1),(116,1),(124,1)}
        99:{2,3,5,7}:{(69,1),(71,1),(75,1),(117,1),(125,1),(126,1),(130,1),(169,1)}
       100:{1,2,6,7}:{(70,1),(71,1),(72,1),(118,1),(126,1),(127,1),(209,1)}
       101:{1,3,7}:{(72,1),(73,1),(77,1),(128,1)}
       102:{1,4,6}:{(73,1),(78,1),(120,1),(128,1),(129,1),(172,1)}
       103:{1,2,5,7}:{(74,1),(75,1),(76,1),(121,1),(130,1),(133,1),(171,1)}
       104:{3,6,7}:{(76,1),(77,1),(122,1),(130,1),(169,1)}
       105:{3,4,7}:{(77,1),(78,1),(80,1),(128,1),(132,1)}
       106:{3,5}:{(78,1),(81,1),(129,1)}
       107:{2,4,6,7}:{(79,1),(80,1),(131,1),(133,1),(134,1),(161,1),(196,1),(209,1)}
       108:{2,4,5,7}:{(80,1),(81,1),(132,1),(133,1),(134,1),(173,1)}
       109:{2,3,4,6}:{(82,1),(88,1),(136,1),(137,1),(142,1),(147,1),(180,1),(201,1),(202,1)}
       110:{1,2,4,7}:{(82,1),(83,1),(89,1),(137,1),(138,1),(145,1)}
       111:{1,3}:{(83,1)}
       112:{1,2,6}:{(84,1),(85,1),(139,1)}
       113:{2,3,5,7}:{(85,1),(86,1),(94,1),(96,1),(139,1),(140,1),(178,1),(184,1),(200,1),(204,1)}
       114:{2,4}:{(86,1),(95,1)}
       115:{3,4,6}:{(87,1),(97,1),(135,1),(141,1),(142,1),(180,1)}
       116:{1,5,6}:{(87,1),(98,1),(141,1)}
       117:{2,3,5,6}:{(87,1),(88,1),(92,1),(99,1),(136,1),(142,1),(143,1),(146,1),(180,1)}
       118:{1,2,6}:{(88,1),(89,1),(144,1)}
       119:{1,3,5,7}:{(89,1),(90,1),(94,1),(101,1),(138,1),(144,1),(145,1),(152,1),(177,1),(182,1)}
       120:{1,4}:{(90,1),(95,1)}
       121:{1,2,5,6}:{(91,1),(92,1),(93,1),(103,1),(146,1),(156,1),(178,1),(182,1),(187,1)}
       122:{3,6}:{(93,1),(94,1)}
       123:{3,4,7}:{(94,1),(95,1),(140,1),(145,1),(147,1),(153,1),(201,1)}
       124:{1,4,7}:{(97,1),(98,1),(141,1),(148,1)}
       125:{2,4,7}:{(97,1),(99,1),(142,1),(153,1)}
       126:{1,2,5,7}:{(98,1),(99,1),(100,1),(143,1),(149,1),(150,1),(204,1)}
       127:{1,3,6,7}:{(100,1),(101,1),(104,1),(144,1),(150,1),(151,1),(205,1)}
       128:{1,4,7}:{(101,1),(102,1),(105,1),(152,1)}
       129:{1,5}:{(102,1),(106,1)}
       130:{3,5,7}:{(103,1),(104,1),(146,1),(153,1)}
       131:{3,4,6,7}:{(104,1),(105,1),(107,1),(147,1),(151,1),(153,1),(154,1),(155,1),(185,1),(188,1),(205,1)}
       132:{3,5,7}:{(105,1),(106,1),(108,1),(152,1),(155,1)}
       133:{2,5,7}:{(107,1),(154,1),(156,1),(178,1)}
       134:{2,4,6}:{(108,1),(155,1),(156,1),(188,1)}
       135:{3,4,5}:{(115,1),(157,1),(158,1),(191,1)}
       136:{2,3,5}:{(109,1),(158,1),(159,1),(167,1),(191,1),(208,1)}
       137:{1,2,4,6}:{(109,1),(110,1),(118,1),(159,1),(160,1),(165,1),(192,1)}
       138:{1,3,7}:{(110,1),(111,1),(160,1),(169,1)}
       139:{2,3,6}:{(112,1),(113,1),(122,1),(161,1),(209,1)}
       140:{2,4,7}:{(113,1),(114,1),(123,1),(161,1),(207,1)}
       141:{1,4,6}:{(115,1),(116,1),(124,1),(157,1),(162,1)}
       142:{2,4,6}:{(115,1),(117,1),(125,1),(158,1),(166,1)}
       143:{1,2,5,6}:{(116,1),(117,1),(118,1),(126,1),(159,1),(163,1),(164,1),(208,1),(209,1)}
       144:{1,3,6}:{(118,1),(119,1),(122,1),(165,1),(172,1)}
       145:{1,4,7}:{(119,1),(120,1),(123,1),(165,1),(192,1)}
       146:{3,5,6}:{(121,1),(122,1),(130,1),(166,1),(167,1)}
       147:{3,4,6}:{(122,1),(123,1),(161,1),(165,1),(166,1),(167,1)}
       148:{1,3,7}:{(124,1),(162,1),(168,1),(169,1)}
       149:{1,2,4,7}:{(124,1),(125,1),(126,1),(163,1),(168,1),(169,1),(170,1),(196,1)}
       150:{1,3,5,7}:{(126,1),(127,1),(130,1),(164,1),(169,1),(170,1),(171,1),(197,1)}
       151:{1,4,6,7}:{(127,1),(128,1),(131,1),(165,1),(170,1),(171,1),(172,1),(198,1)}
       152:{1,5,7}:{(128,1),(129,1),(132,1),(172,1)}
       153:{4,7}:{(130,1),(166,1)}
       154:{3,5,7}:{(131,1),(133,1),(167,1),(171,1),(173,1),(174,1)}
       155:{3,6}:{(132,1),(134,1),(172,1)}
       156:{2,5,6}:{(133,1),(134,1),(174,1),(209,1)}
       157:{1,4,5}:{(135,1),(141,1),(175,1)}
       158:{2,4,5}:{(135,1),(136,1),(142,1),(183,1)}
       159:{1,2,5}:{(136,1),(137,1),(177,1),(182,1)}
       160:{1,3,6}:{(137,1),(138,1),(177,1),(180,1)}
       161:{2,4,6}:{(139,1),(140,1),(147,1),(178,1)}
       162:{1,3,6}:{(141,1),(148,1),(175,1),(179,1),(180,1)}
       163:{1,2,4,6}:{(141,1),(142,1),(143,1),(149,1),(176,1),(179,1),(180,1),(181,1),(202,1)}
       164:{1,3,5,6}:{(143,1),(144,1),(146,1),(150,1),(177,1),(180,1),(181,1),(182,1),(187,1),(203,1),(205,1)}
       165:{1,4,6}:{(144,1),(145,1),(147,1),(182,1)}
       166:{4,6}:{(146,1),(153,1),(183,1)}
       167:{3,5}:{(147,1),(178,1),(182,1),(183,1)}
       168:{1,2,7}:{(148,1),(179,1),(184,1)}
       169:{3,7}:{(149,1),(180,1)}
       170:{1,4,7}:{(150,1),(153,1),(181,1),(185,1)}
       171:{1,5,7}:{(151,1),(154,1),(182,1),(187,1)}
       172:{1,6}:{(152,1),(155,1)}
       173:{4,5,7}:{(153,1),(154,1),(183,1),(188,1)}
       174:{3,5,6}:{(154,1),(155,1),(156,1),(187,1),(188,1),(205,1)}
       175:{1,3,5}:{(157,1),(162,1),(189,1),(190,1),(191,1)}
       176:{1,2,4,5}:{(157,1),(158,1),(159,1),(163,1),(190,1),(191,1),(192,1),(195,1),(207,1),(208,1)}
       177:{1,3,5}:{(159,1),(160,1),(191,1),(192,1)}
       178:{2,5}:{(161,1),(167,1)}
       179:{1,2,6}:{(162,1),(168,1),(190,1),(193,1)}
       180:{3,6}:{(163,1),(169,1),(191,1)}
       181:{1,4,6}:{(164,1),(166,1),(170,1),(192,1),(194,1),(195,1)}
       182:{1,5}:{(165,1),(167,1)}
       183:{4,5}:{(166,1),(167,1)}
       184:{2,3,7}:{(168,1),(169,1),(193,1),(196,1)}
       185:{3,4,7}:{(169,1),(170,1),(194,1),(196,1),(197,1)}
       186:{1,4,5,7}:{(170,1),(171,1),(173,1),(195,1),(197,1),(198,1)}
       187:{1,5,6}:{(171,1),(172,1),(174,1),(198,1)}
       188:{4,6}:{(173,1),(174,1)}
       189:{1,3,4}:{(175,1),(199,1),(201,1)}
       190:{1,2,5}:{(175,1),(179,1),(199,1),(200,1)}
       191:{3,5}:{(176,1),(180,1),(201,1)}
       192:{1,4}:{(177,1),(201,1)}
       193:{2,3,6}:{(179,1),(180,1),(184,1),(200,1),(202,1)}
       194:{3,4,6}:{(180,1),(181,1),(185,1),(201,1),(202,1),(203,1),(205,1)}
       195:{1,4,5}:{(181,1),(182,1),(183,1),(203,1)}
       196:{2,4,7}:{(184,1),(185,1),(202,1),(204,1)}
       197:{3,5,7}:{(185,1),(186,1),(203,1),(204,1),(205,1)}
       198:{1,4,6}:{(186,1),(187,1),(188,1),(205,1)}
       199:{1,2,4}:{(189,1),(190,1),(206,1),(207,1)}
       200:{2,3,5}:{(190,1),(191,1),(193,1),(206,1),(207,1),(208,1)}
       201:{3,4}:{(191,1),(192,1),(207,1)}
       202:{2,4,6}:{(193,1),(194,1),(196,1),(207,1),(208,1),(209,1)}
       203:{3,5}:{(194,1),(195,1),(208,1)}
       204:{2,5,7}:{(196,1),(197,1),(208,1),(209,1)}
       205:{3,6}:{(197,1),(198,1),(209,1)}
       206:{2,3}:{(199,1)}
       207:{2,4}:{(200,1),(201,1)}
       208:{2,5}:{(202,1),(203,1)}
       209:{2,6}:{(204,1),(205,1)}

 318 :   0:{1,5,6,7}:{(1,1),(2,1),(34,1),(38,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(5,1),(7,1),(19,1),(21,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(7,1)}
         3:{1,4,5,6}:{(6,1),(8,1),(20,1),(29,1),(57,1)}
         4:{2,5,6,7}:{(1,1),(9,1),(14,1),(39,1)}
         5:{4,6,7}:{(1,1),(10,1)}
         6:{1,4,5,7}:{(2,1),(3,1),(10,1),(12,1),(38,1),(43,1)}
         7:{3,6,7}:{(2,1),(12,1),(14,1)}
         8:{3,5,6}:{(3,1),(12,1),(15,1),(17,1)}
         9:{2,4,6,7}:{(4,1),(5,1),(18,1),(19,1)}
        10:{4,5,7}:{(5,1),(20,1),(21,1),(120,1)}
        11:{3,4,6,7}:{(5,1),(7,1),(19,1),(21,1),(22,1),(23,1),(25,1),(52,1),(56,1),(62,1),(120,1)}
        12:{3,5,7}:{(6,1),(7,1),(8,1),(25,1),(27,1)}
        13:{1,3,6,7}:{(7,1),(22,1),(26,1),(28,1),(62,1),(107,1),(113,1)}
        14:{2,6,7}:{(7,1),(27,1)}
        15:{3,4,6}:{(8,1),(24,1),(25,1),(29,1),(30,1),(73,1)}
        16:{1,3,5,6}:{(8,1),(26,1),(29,1),(31,1),(57,1),(63,1),(73,1),(113,1),(116,1)}
        17:{2,5,6}:{(8,1),(27,1),(30,1)}
        18:{2,4,5,7}:{(9,1),(10,1),(32,1),(33,1),(39,1),(79,1)}
        19:{3,6,7}:{(9,1),(33,1),(34,1)}
        20:{4,5,6}:{(10,1),(36,1),(147,1)}
        21:{3,5,7}:{(10,1),(11,1),(36,1),(38,1),(39,1)}
        22:{1,4,6,7}:{(11,1),(13,1),(34,1),(38,1),(43,1),(78,1),(83,1)}
        23:{2,4,6,7}:{(11,1),(14,1),(35,1),(39,1),(44,1),(79,1),(84,1)}
        24:{3,4,5}:{(15,1),(41,1),(42,1),(93,1)}
        25:{3,4,7}:{(12,1),(15,1),(43,1),(44,1),(96,1)}
        26:{1,3,5,7}:{(12,1),(13,1),(16,1),(38,1),(43,1),(45,1),(89,1),(96,1)}
        27:{2,5,7}:{(12,1),(14,1),(17,1),(44,1)}
        28:{1,2,6,7}:{(13,1),(14,1),(45,1),(46,1),(138,1),(144,1),(194,1)}
        29:{1,4,6}:{(15,1),(16,1),(41,1),(43,1),(147,1)}
        30:{2,4,6}:{(15,1),(17,1),(42,1),(44,1),(48,1)}
        31:{1,2,5,6}:{(16,1),(17,1),(45,1),(49,1),(50,1),(91,1),(144,1),(158,1),(194,1)}
        32:{2,4,5,6}:{(18,1),(20,1),(51,1),(58,1),(105,1)}
        33:{3,5,7}:{(18,1),(19,1),(51,1),(52,1),(53,1)}
        34:{1,6,7}:{(19,1),(53,1)}
        35:{2,3,6,7}:{(19,1),(23,1),(54,1),(55,1),(62,1),(67,1),(114,1)}
        36:{3,5,6}:{(20,1),(21,1),(56,1),(57,1),(58,1)}
        37:{3,4,5,7}:{(21,1),(24,1),(25,1),(52,1),(56,1),(59,1),(60,1),(103,1),(119,1),(120,1),(174,1)}
        38:{1,5,7}:{(21,1),(22,1),(57,1)}
        39:{2,5,7}:{(21,1),(23,1),(58,1)}
        40:{1,2,4,6,7}:{(22,1),(23,1),(28,1),(55,1),(61,1),(62,1),(68,1),(70,1),(109,1),(111,1),(115,1),(120,1)}
        41:{1,4,5}:{(24,1),(29,1),(63,1),(174,1)}
        42:{2,4,5}:{(24,1),(30,1),(64,1)}
        43:{1,4,7}:{(25,1),(26,1),(29,1),(120,1)}
        44:{2,4,7}:{(25,1),(27,1),(30,1),(67,1)}
        45:{1,2,5,7}:{(26,1),(27,1),(28,1),(31,1),(68,1),(69,1),(178,1)}
        46:{2,3,6,7}:{(28,1),(62,1),(69,1),(70,1),(166,1),(171,1),(179,1)}
        47:{1,3,4,6}:{(29,1),(63,1),(66,1),(71,1),(73,1),(113,1),(124,1),(130,1),(173,1)}
        48:{2,3,6}:{(30,1),(64,1),(67,1),(72,1),(73,1)}
        49:{1,2,4,6}:{(29,1),(30,1),(31,1),(65,1),(68,1),(72,1),(73,1),(74,1),(130,1)}
        50:{2,3,5,6}:{(31,1),(69,1),(73,1),(74,1),(116,1),(122,1),(129,1),(131,1),(171,1),(179,1),(203,1)}
        51:{3,5,6}:{(32,1),(33,1),(75,1),(76,1)}
        52:{3,4,7}:{(33,1),(75,1),(78,1),(79,1),(140,1)}
        53:{1,5,7}:{(33,1),(34,1),(76,1),(78,1)}
        54:{2,3,5,7}:{(33,1),(35,1),(39,1),(77,1),(79,1),(80,1),(89,1),(140,1)}
        55:{1,2,6,7}:{(34,1),(35,1),(80,1),(81,1),(95,1),(145,1),(209,1)}
        56:{3,4,6}:{(36,1),(37,1),(83,1),(84,1),(146,1),(147,1)}
        57:{1,5,6}:{(36,1),(38,1),(83,1)}
        58:{2,5,6}:{(36,1),(39,1),(84,1)}
        59:{1,4,5,7}:{(37,1),(38,1),(41,1),(43,1),(78,1),(83,1),(86,1),(132,1)}
        60:{2,4,5,7}:{(37,1),(39,1),(42,1),(44,1),(79,1),(84,1),(87,1),(133,1)}
        61:{1,2,5,7}:{(38,1),(39,1),(40,1),(85,1),(89,1),(98,1),(142,1)}
        62:{3,6,7}:{(40,1),(89,1),(96,1),(140,1),(146,1)}
        63:{1,3,5}:{(41,1),(47,1),(91,1),(93,1),(158,1),(193,1)}
        64:{2,3,5}:{(42,1),(48,1),(82,1),(92,1),(93,1)}
        65:{1,2,4,5}:{(41,1),(42,1),(49,1),(91,1),(92,1),(93,1),(102,1),(153,1),(154,1),(158,1)}
        66:{1,3,4,7}:{(43,1),(47,1),(86,1),(94,1),(96,1),(150,1),(155,1),(180,1)}
        67:{2,3,7}:{(44,1),(48,1),(95,1),(96,1)}
        68:{1,2,4,7}:{(43,1),(44,1),(45,1),(49,1),(95,1),(96,1),(97,1),(155,1)}
        69:{2,3,5,7}:{(45,1),(46,1),(50,1),(89,1),(96,1),(97,1),(98,1),(156,1)}
        70:{2,4,6,7}:{(46,1),(90,1),(97,1),(98,1),(157,1),(188,1),(191,1),(209,1)}
        71:{1,2,4,6}:{(47,1),(91,1),(94,1),(99,1),(144,1),(153,1),(191,1)}
        72:{1,2,6}:{(48,1),(92,1),(95,1),(100,1)}
        73:{3,6}:{(49,1),(93,1),(96,1)}
        74:{2,4,6}:{(50,1),(97,1),(101,1),(102,1),(147,1),(153,1)}
        75:{3,4,6}:{(51,1),(52,1),(103,1),(104,1),(105,1),(164,1)}
        76:{1,5,6}:{(51,1),(53,1),(104,1)}
        77:{2,3,5,6}:{(51,1),(54,1),(58,1),(105,1),(106,1),(114,1),(116,1),(160,1),(164,1)}
        78:{1,4,7}:{(52,1),(53,1),(104,1),(107,1)}
        79:{2,4,7}:{(52,1),(54,1),(105,1),(120,1)}
        80:{1,2,5,7}:{(53,1),(54,1),(55,1),(106,1),(109,1),(110,1),(201,1)}
        81:{1,3,6,7}:{(55,1),(62,1),(110,1),(111,1),(126,1),(172,1),(202,1)}
        82:{2,3,4}:{(64,1),(112,1),(124,1)}
        83:{1,4,6}:{(56,1),(57,1),(59,1),(113,1)}
        84:{2,4,6}:{(56,1),(58,1),(60,1),(114,1)}
        85:{1,2,5,6}:{(57,1),(58,1),(61,1),(115,1),(116,1),(129,1),(170,1),(203,1),(204,1)}
        86:{1,3,5,7}:{(59,1),(63,1),(66,1),(107,1),(113,1),(117,1),(119,1),(159,1),(178,1)}
        87:{2,3,5,7}:{(60,1),(64,1),(67,1),(108,1),(114,1),(118,1),(119,1),(160,1),(201,1)}
        88:{1,2,4,5,7}:{(59,1),(60,1),(61,1),(65,1),(68,1),(109,1),(115,1),(117,1),(118,1),(119,1),(120,1),(128,1),(161,1),(169,1),(174,1),(175,1),(176,1),(178,1),(201,1),(203,1),(204,1)}
        89:{3,5,7}:{(61,1),(62,1),(116,1),(120,1)}
        90:{3,4,6,7}:{(62,1),(70,1),(111,1),(120,1),(121,1),(127,1),(168,1),(173,1),(177,1),(179,1),(202,1)}
        91:{1,2,5}:{(63,1),(71,1),(122,1),(203,1)}
        92:{1,2,5}:{(64,1),(72,1),(112,1),(123,1)}
        93:{3,5}:{(65,1),(73,1),(124,1)}
        94:{1,2,4,7}:{(66,1),(71,1),(117,1),(125,1),(175,1),(195,1)}
        95:{1,2,7}:{(67,1),(72,1),(126,1)}
        96:{3,7}:{(68,1),(73,1)}
        97:{2,4,7}:{(69,1),(74,1),(120,1),(127,1)}
        98:{2,5,7}:{(70,1),(121,1),(129,1),(203,1)}
        99:{2,3,6}:{(71,1),(73,1),(122,1),(125,1)}
       100:{1,3,6}:{(72,1),(73,1),(123,1),(126,1),(130,1)}
       101:{3,4,6}:{(73,1),(74,1),(124,1),(127,1),(130,1),(131,1),(179,1)}
       102:{2,4,5}:{(74,1),(131,1),(174,1),(203,1)}
       103:{3,4,5}:{(75,1),(132,1),(133,1),(183,1)}
       104:{1,4,6}:{(75,1),(76,1),(78,1),(132,1),(134,1)}
       105:{2,4,6}:{(75,1),(77,1),(79,1),(133,1),(147,1)}
       106:{1,2,5,6}:{(76,1),(77,1),(80,1),(136,1),(137,1),(145,1),(182,1),(208,1),(209,1)}
       107:{1,3,7}:{(78,1),(134,1),(138,1),(140,1)}
       108:{2,3,4,7}:{(79,1),(82,1),(87,1),(135,1),(139,1),(140,1),(150,1),(188,1)}
       109:{1,2,4,7}:{(78,1),(79,1),(80,1),(136,1),(138,1),(140,1),(141,1),(188,1)}
       110:{1,3,5,7}:{(80,1),(81,1),(89,1),(137,1),(140,1),(141,1),(142,1),(189,1)}
       111:{1,4,6,7}:{(81,1),(90,1),(141,1),(142,1),(155,1),(190,1),(192,1),(194,1)}
       112:{1,2,4}:{(82,1),(92,1),(143,1),(154,1)}
       113:{1,3,6}:{(83,1),(86,1),(144,1),(146,1),(194,1)}
       114:{2,3,6}:{(84,1),(87,1),(145,1),(146,1),(209,1)}
       115:{1,2,4,6}:{(83,1),(84,1),(85,1),(88,1),(144,1),(145,1),(146,1),(147,1),(157,1),(190,1),(191,1),(192,1),(194,1),(209,1)}
       116:{3,5,6}:{(85,1),(89,1),(146,1),(147,1),(193,1)}
       117:{1,2,5,7}:{(86,1),(91,1),(94,1),(138,1),(144,1),(148,1),(181,1)}
       118:{1,2,5,7}:{(87,1),(92,1),(95,1),(139,1),(145,1),(149,1),(182,1)}
       119:{3,5,7}:{(88,1),(93,1),(96,1),(140,1),(146,1),(150,1),(183,1),(193,1)}
       120:{4,7}:{(89,1),(147,1)}
       121:{3,5,7}:{(90,1),(98,1),(142,1),(151,1),(152,1),(193,1)}
       122:{2,3,5}:{(91,1),(93,1),(99,1),(153,1)}
       123:{1,3,5}:{(92,1),(93,1),(100,1),(143,1),(154,1),(158,1)}
       124:{3,4}:{(93,1),(153,1),(154,1)}
       125:{2,3,7}:{(94,1),(96,1),(99,1),(205,1)}
       126:{1,3,7}:{(95,1),(96,1),(100,1),(155,1)}
       127:{3,4,7}:{(96,1),(97,1),(101,1),(155,1),(156,1)}
       128:{2,4,5,7}:{(97,1),(98,1),(102,1),(151,1),(156,1),(157,1)}
       129:{2,5,6}:{(98,1),(152,1),(157,1),(209,1)}
       130:{1,4,6}:{(100,1),(101,1),(154,1),(155,1),(158,1),(194,1)}
       131:{3,5}:{(101,1),(102,1),(158,1)}
       132:{1,4,5}:{(103,1),(104,1),(159,1)}
       133:{2,4,5}:{(103,1),(105,1),(160,1),(174,1)}
       134:{1,3,6}:{(104,1),(107,1),(159,1),(162,1),(164,1)}
       135:{2,3,4,6}:{(105,1),(108,1),(114,1),(160,1),(163,1),(164,1),(173,1),(198,1),(199,1)}
       136:{1,2,4,6}:{(104,1),(105,1),(106,1),(109,1),(161,1),(162,1),(164,1),(165,1),(199,1)}
       137:{1,3,5,6}:{(106,1),(110,1),(116,1),(164,1),(165,1),(170,1),(172,1),(197,1),(200,1),(202,1),(204,1)}
       138:{1,2,7}:{(107,1),(162,1),(166,1)}
       139:{1,2,4,7}:{(108,1),(112,1),(118,1),(163,1),(167,1),(176,1)}
       140:{3,7}:{(109,1),(164,1)}
       141:{1,4,7}:{(110,1),(120,1),(165,1),(168,1)}
       142:{1,5,7}:{(111,1),(121,1),(170,1),(204,1)}
       143:{1,3}:{(112,1)}
       144:{1,2,6}:{(113,1),(117,1),(171,1)}
       145:{1,2,6}:{(114,1),(118,1),(172,1)}
       146:{3,6}:{(115,1),(119,1)}
       147:{4,6}:{(116,1),(120,1),(174,1)}
       148:{2,3,5,7}:{(117,1),(119,1),(122,1),(125,1),(166,1),(171,1),(175,1),(196,1),(201,1),(203,1)}
       149:{1,3,5,7}:{(118,1),(119,1),(123,1),(126,1),(167,1),(172,1),(176,1),(178,1),(197,1),(204,1)}
       150:{3,4,7}:{(119,1),(120,1),(124,1),(173,1),(175,1),(176,1),(198,1)}
       151:{4,5,7}:{(120,1),(121,1),(174,1),(177,1)}
       152:{3,5,6}:{(121,1),(129,1),(170,1),(177,1),(179,1),(202,1)}
       153:{2,4}:{(122,1),(124,1)}
       154:{1,4}:{(123,1),(124,1)}
       155:{1,4,7}:{(126,1),(127,1),(130,1),(178,1)}
       156:{3,5,7}:{(127,1),(128,1),(131,1),(178,1),(179,1)}
       157:{2,4,6}:{(128,1),(129,1),(177,1),(179,1)}
       158:{1,5}:{(130,1),(131,1)}
       159:{1,3,5}:{(132,1),(134,1),(180,1),(181,1),(183,1)}
       160:{2,3,5}:{(133,1),(135,1),(182,1),(183,1),(193,1),(208,1)}
       161:{1,2,4,5}:{(132,1),(133,1),(136,1),(181,1),(182,1),(183,1),(187,1),(206,1),(207,1),(208,1)}
       162:{1,2,6}:{(134,1),(138,1),(181,1),(184,1)}
       163:{1,2,4,6}:{(135,1),(139,1),(145,1),(182,1),(185,1),(192,1),(207,1)}
       164:{3,6}:{(136,1),(140,1),(183,1)}
       165:{1,4,6}:{(137,1),(141,1),(147,1),(186,1),(187,1),(207,1)}
       166:{2,3,7}:{(138,1),(140,1),(184,1),(188,1)}
       167:{1,3,7}:{(139,1),(140,1),(143,1),(185,1)}
       168:{3,4,7}:{(140,1),(141,1),(186,1),(188,1),(189,1)}
       169:{1,4,5,7}:{(141,1),(142,1),(151,1),(187,1),(189,1),(190,1)}
       170:{1,5,6}:{(142,1),(152,1),(190,1),(194,1)}
       171:{2,3,6}:{(144,1),(146,1),(148,1),(191,1),(209,1)}
       172:{1,3,6}:{(145,1),(146,1),(149,1),(192,1),(194,1)}
       173:{3,4,6}:{(146,1),(147,1),(150,1),(191,1),(192,1),(193,1)}
       174:{4,5}:{(147,1),(193,1)}
       175:{2,4,7}:{(148,1),(150,1),(153,1),(191,1),(206,1)}
       176:{1,4,7}:{(149,1),(150,1),(154,1),(192,1),(207,1)}
       177:{4,6}:{(151,1),(152,1)}
       178:{1,5,7}:{(155,1),(156,1),(158,1),(194,1)}
       179:{3,6}:{(156,1),(157,1),(194,1)}
       180:{1,3,4}:{(159,1),(195,1),(198,1)}
       181:{1,2,5}:{(159,1),(162,1),(195,1),(196,1)}
       182:{1,2,5}:{(160,1),(163,1),(197,1),(204,1)}
       183:{3,5}:{(161,1),(164,1),(198,1)}
       184:{2,3,6}:{(162,1),(164,1),(166,1),(196,1),(199,1)}
       185:{1,3,6}:{(163,1),(164,1),(167,1),(197,1)}
       186:{3,4,6}:{(164,1),(165,1),(168,1),(198,1),(199,1),(200,1),(202,1)}
       187:{1,4,5}:{(165,1),(174,1),(200,1),(204,1)}
       188:{2,4,7}:{(166,1),(168,1),(199,1),(201,1)}
       189:{3,5,7}:{(168,1),(169,1),(200,1),(201,1),(202,1)}
       190:{1,4,6}:{(169,1),(170,1),(177,1),(202,1)}
       191:{2,4,6}:{(171,1),(173,1),(175,1),(203,1)}
       192:{1,4,6}:{(172,1),(173,1),(176,1),(204,1)}
       193:{3,5}:{(173,1),(174,1),(203,1),(204,1)}
       194:{1,6}:{(178,1),(179,1)}
       195:{1,2,4}:{(180,1),(181,1),(205,1),(206,1)}
       196:{2,3,5}:{(181,1),(183,1),(184,1),(205,1),(206,1),(208,1)}
       197:{1,3,5}:{(182,1),(183,1),(185,1),(207,1)}
       198:{3,4}:{(183,1),(206,1),(207,1)}
       199:{2,4,6}:{(184,1),(186,1),(188,1),(206,1),(208,1),(209,1)}
       200:{3,5}:{(186,1),(187,1),(208,1)}
       201:{2,5,7}:{(188,1),(189,1),(208,1),(209,1)}
       202:{3,6}:{(189,1),(190,1),(209,1)}
       203:{2,5}:{(191,1),(193,1)}
       204:{1,5}:{(192,1),(193,1)}
       205:{2,3}:{(195,1)}
       206:{2,4}:{(196,1),(198,1)}
       207:{1,4}:{(197,1),(198,1)}
       208:{2,5}:{(199,1),(200,1)}
       209:{2,6}:{(201,1),(202,1)}

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

 320 :  0:{1,3,4}:{(1,1),(2,1),(22,1)}
        1:{1,2,4}:{(0,1),(3,1),(4,1),(13,1)}
        2:{1,3,5}:{(0,1),(4,1),(5,1),(6,1),(15,1)}
        3:{2,3}:{(1,1)}
        4:{1,2,5}:{(1,1),(2,1),(7,1),(9,1)}
        5:{1,4,5}:{(2,1),(10,1),(11,1)}
        6:{1,3,6}:{(2,1),(9,1),(11,1),(12,1),(27,1)}
        7:{2,3,5}:{(3,1),(4,1),(13,1),(14,1),(15,1),(37,1)}
        8:{1,2,4,5}:{(4,1),(5,1),(13,1),(15,1),(16,1),(18,1),(34,1),(37,1),(39,1),(65,1),(67,1)}
        9:{1,2,6}:{(4,1),(6,1),(14,1),(17,1)}
       10:{3,4,5}:{(5,1),(15,1),(18,1),(19,1),(67,1)}
       11:{1,4,6}:{(5,1),(6,1),(19,1),(20,1),(21,1)}
       12:{1,3,7}:{(6,1),(17,1),(21,1),(43,1)}
       13:{2,4}:{(7,1),(22,1)}
       14:{2,3,6}:{(7,1),(9,1),(23,1),(24,1),(27,1)}
       15:{3,5}:{(8,1),(22,1),(27,1)}
       16:{1,2,4,6}:{(8,1),(9,1),(11,1),(23,1),(27,1),(28,1),(29,1),(30,1),(51,1),(55,1),(58,1)}
       17:{1,2,7}:{(9,1),(12,1),(24,1)}
       18:{2,4,5}:{(10,1),(26,1),(30,1)}
       19:{3,4,6}:{(10,1),(11,1),(27,1),(30,1),(31,1),(32,1),(58,1)}
       20:{1,5,6}:{(11,1),(31,1),(33,1)}
       21:{1,4,7}:{(11,1),(12,1),(32,1),(33,1)}
       22:{3,4}:{(13,1),(15,1),(34,1)}
       23:{2,4,6}:{(13,1),(14,1),(36,1),(37,1),(38,1),(69,1)}
       24:{2,3,7}:{(14,1),(17,1),(38,1),(43,1)}
       25:{1,3,5}:{(15,1),(34,1),(39,1),(40,1),(64,1),(65,1)}
       26:{2,3,5}:{(15,1),(18,1),(35,1),(39,1),(41,1)}
       27:{3,6}:{(15,1),(16,1),(43,1)}
       28:{1,2,5,6}:{(16,1),(20,1),(37,1),(42,1),(44,1),(45,1),(65,1),(69,1),(80,1)}
       29:{1,2,4,7}:{(16,1),(17,1),(21,1),(38,1),(43,1),(44,1),(46,1),(66,1),(70,1),(71,1)}
       30:{2,4,6}:{(18,1),(19,1),(41,1),(45,1),(46,1)}
       31:{3,5,6}:{(19,1),(20,1),(45,1),(47,1),(48,1)}
       32:{3,4,7}:{(19,1),(21,1),(43,1),(46,1),(48,1),(71,1)}
       33:{1,5,7}:{(20,1),(21,1),(48,1),(49,1)}
       34:{1,4}:{(22,1),(25,1)}
       35:{2,3,4}:{(22,1),(26,1),(50,1)}
       36:{3,4,6}:{(22,1),(23,1),(27,1),(51,1),(52,1),(53,1),(58,1),(77,1)}
       37:{2,5}:{(23,1),(52,1)}
       38:{2,4,7}:{(23,1),(24,1),(53,1),(54,1)}
       39:{1,2,5}:{(25,1),(26,1),(50,1),(55,1)}
       40:{1,3,6}:{(25,1),(27,1),(51,1),(55,1),(56,1)}
       41:{2,3,6}:{(26,1),(27,1),(30,1),(55,1),(57,1)}
       42:{3,5,6}:{(27,1),(28,1),(52,1),(58,1),(59,1),(77,1),(83,1)}
       43:{3,7}:{(27,1),(29,1)}
       44:{1,2,5,7}:{(28,1),(29,1),(33,1),(54,1),(59,1),(60,1),(61,1),(75,1)}
       45:{2,5,6}:{(30,1),(31,1),(61,1)}
       46:{2,4,7}:{(30,1),(32,1),(57,1),(61,1)}
       47:{4,5,6}:{(31,1),(58,1),(62,1),(83,1)}
       48:{3,5,7}:{(31,1),(32,1),(33,1),(61,1),(62,1),(63,1)}
       49:{1,6,7}:{(33,1),(63,1)}
       50:{1,2,4}:{(34,1),(35,1),(39,1),(64,1)}
       51:{1,4,6}:{(34,1),(36,1),(40,1),(65,1),(66,1),(80,1)}
       52:{3,5}:{(36,1),(37,1),(65,1),(67,1)}
       53:{3,4,7}:{(36,1),(38,1),(43,1),(66,1),(68,1),(71,1)}
       54:{2,5,7}:{(37,1),(38,1),(68,1),(69,1)}
       55:{1,2,6}:{(39,1),(40,1),(41,1),(70,1)}
       56:{1,3,7}:{(40,1),(43,1),(66,1),(70,1)}
       57:{2,3,7}:{(41,1),(43,1),(46,1),(70,1)}
       58:{4,6}:{(42,1),(67,1),(71,1)}
       59:{3,5,7}:{(42,1),(43,1),(44,1),(71,1),(72,1),(82,1)}
       60:{1,2,6,7}:{(44,1),(49,1),(69,1),(72,1),(73,1),(80,1)}
       61:{2,5,7}:{(45,1),(46,1),(48,1),(73,1)}
       62:{4,5,7}:{(47,1),(48,1),(71,1),(74,1),(82,1)}
       63:{3,6,7}:{(48,1),(49,1),(73,1),(74,1)}
       64:{1,3}:{(50,1)}
       65:{1,5}:{(51,1),(52,1)}
       66:{1,4,7}:{(51,1),(53,1),(56,1),(75,1)}
       67:{4,5}:{(52,1),(58,1)}
       68:{3,5,7}:{(52,1),(53,1),(54,1),(75,1),(76,1),(77,1)}
       69:{2,6}:{(54,1),(77,1)}
       70:{1,2,7}:{(55,1),(56,1),(57,1)}
       71:{4,7}:{(58,1),(59,1)}
       72:{3,6,7}:{(59,1),(60,1),(77,1),(78,1)}
       73:{2,6,7}:{(61,1),(63,1)}
       74:{4,6,7}:{(62,1),(63,1),(79,1)}
       75:{1,5,7}:{(65,1),(66,1),(68,1),(80,1)}
       76:{4,5,7}:{(67,1),(68,1),(71,1),(81,1),(82,1)}
       77:{3,6}:{(68,1),(69,1),(80,1),(81,1)}
       78:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       79:{5,6,7}:{(74,1),(82,1)}
       80:{1,6}:{(75,1),(77,1)}
       81:{4,6}:{(76,1),(77,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 321 :   0:{1,3,5}:{(3,1),(4,1),(5,1),(8,1),(25,1),(30,1),(69,1)}
         1:{2,3,5}:{(3,1),(6,1),(7,1),(23,1),(25,1),(34,1),(69,1)}
         2:{1,4,5}:{(4,1),(8,1),(9,1),(30,1),(74,1)}
         3:{1,2,5}:{(0,1),(1,1),(11,1),(12,1),(19,1),(40,1)}
         4:{1,4}:{(0,1),(13,1),(96,1)}
         5:{1,3,6}:{(0,1),(12,1),(14,1),(15,1),(20,1),(46,1),(151,1)}
         6:{2,4}:{(1,1),(16,1),(96,1)}
         7:{2,3,6}:{(1,1),(12,1),(17,1),(18,1),(41,1),(46,1),(152,1)}
         8:{3,5}:{(2,1),(13,1),(19,1),(20,1)}
         9:{1,4,6}:{(2,1),(20,1),(21,1),(22,1),(59,1)}
        10:{2,4,5}:{(6,1),(23,1),(24,1),(34,1),(79,1)}
        11:{1,2,4}:{(3,1),(4,1),(6,1),(25,1),(28,1),(32,1),(66,1)}
        12:{1,2,6}:{(3,1),(5,1),(7,1),(27,1),(36,1),(62,1),(153,1)}
        13:{3,4}:{(4,1),(8,1),(25,1),(28,1)}
        14:{1,4,6}:{(4,1),(5,1),(29,1),(30,1),(31,1),(76,1),(127,1),(148,1)}
        15:{1,3,7}:{(5,1),(27,1),(31,1),(38,1),(70,1)}
        16:{3,4}:{(6,1),(23,1),(25,1),(32,1)}
        17:{2,4,6}:{(6,1),(7,1),(33,1),(34,1),(35,1),(81,1),(143,1),(147,1)}
        18:{2,3,7}:{(7,1),(27,1),(35,1),(64,1),(70,1)}
        19:{2,5}:{(8,1),(28,1),(36,1)}
        20:{3,6}:{(8,1),(9,1),(36,1),(38,1)}
        21:{1,5,6}:{(9,1),(30,1),(37,1),(39,1),(76,1),(127,1)}
        22:{1,4,7}:{(9,1),(38,1),(39,1),(84,1)}
        23:{3,5}:{(10,1),(16,1),(40,1),(41,1)}
        24:{2,4,6}:{(10,1),(41,1),(42,1),(43,1),(88,1)}
        25:{3}:{(11,1)}
        26:{1,2,4,6}:{(11,1),(12,1),(14,1),(17,1),(46,1),(47,1),(48,1),(49,1),(53,1),(91,1),(96,1),(98,1),(134,1),(137,1)}
        27:{1,2,7}:{(12,1),(15,1),(18,1),(58,1),(87,1)}
        28:{2,4}:{(13,1),(19,1),(45,1)}
        29:{3,4,6}:{(13,1),(14,1),(20,1),(46,1),(49,1),(50,1),(51,1),(59,1),(96,1),(102,1),(107,1),(136,1),(137,1)}
        30:{1,5}:{(14,1),(50,1)}
        31:{1,4,7}:{(14,1),(15,1),(51,1),(52,1),(142,1)}
        32:{1,4}:{(16,1),(40,1),(44,1)}
        33:{3,4,6}:{(16,1),(17,1),(41,1),(46,1),(53,1),(54,1),(55,1),(88,1),(96,1),(106,1),(130,1),(135,1),(137,1)}
        34:{2,5}:{(17,1),(54,1)}
        35:{2,4,7}:{(17,1),(18,1),(55,1),(56,1),(150,1)}
        36:{2,6}:{(19,1),(20,1),(58,1)}
        37:{3,5,6}:{(20,1),(21,1),(50,1),(57,1),(59,1),(60,1),(102,1),(107,1),(139,1)}
        38:{3,7}:{(20,1),(22,1),(58,1)}
        39:{1,5,7}:{(21,1),(22,1),(60,1),(61,1),(142,1)}
        40:{1,5}:{(23,1),(32,1),(62,1)}
        41:{3,6}:{(23,1),(24,1),(62,1),(64,1)}
        42:{2,5,6}:{(24,1),(34,1),(63,1),(65,1),(81,1),(143,1)}
        43:{2,4,7}:{(24,1),(64,1),(65,1),(113,1)}
        44:{1,3}:{(25,1),(32,1),(66,1)}
        45:{2,3}:{(25,1),(28,1),(66,1)}
        46:{3,6}:{(25,1),(26,1),(69,1),(70,1),(146,1)}
        47:{1,2,5}:{(26,1),(30,1),(34,1),(69,1),(72,1),(77,1),(149,1)}
        48:{1,2,4,7}:{(26,1),(27,1),(31,1),(35,1),(70,1),(71,1),(73,1),(78,1),(116,1),(119,1)}
        49:{2,4,6}:{(28,1),(29,1),(36,1),(68,1),(72,1),(73,1),(118,1),(122,1)}
        50:{3,5}:{(29,1),(30,1),(72,1),(74,1),(149,1)}
        51:{3,4,7}:{(29,1),(31,1),(38,1),(70,1),(73,1),(75,1),(84,1),(119,1),(128,1)}
        52:{1,5,7}:{(30,1),(31,1),(75,1),(76,1)}
        53:{1,4,6}:{(32,1),(33,1),(62,1),(67,1),(77,1),(78,1),(117,1),(125,1)}
        54:{3,5}:{(33,1),(34,1),(77,1),(79,1),(149,1)}
        55:{3,4,7}:{(33,1),(35,1),(64,1),(70,1),(78,1),(80,1),(113,1),(119,1),(144,1)}
        56:{2,5,7}:{(34,1),(35,1),(80,1),(81,1)}
        57:{2,5,6}:{(36,1),(37,1),(72,1),(82,1),(83,1),(122,1)}
        58:{2,7}:{(36,1),(38,1)}
        59:{4,6}:{(37,1),(74,1),(84,1)}
        60:{3,5,7}:{(37,1),(38,1),(39,1),(83,1),(84,1),(85,1),(128,1),(129,1)}
        61:{1,6,7}:{(39,1),(76,1),(85,1)}
        62:{1,6}:{(40,1),(41,1),(87,1)}
        63:{3,5,6}:{(41,1),(42,1),(54,1),(86,1),(88,1),(89,1),(106,1),(130,1),(141,1)}
        64:{3,7}:{(41,1),(43,1),(87,1)}
        65:{2,5,7}:{(42,1),(43,1),(89,1),(90,1),(150,1)}
        66:{1,2}:{(44,1),(45,1)}
        67:{1,3,6}:{(44,1),(46,1),(53,1),(91,1),(92,1),(93,1),(130,1)}
        68:{2,3,6}:{(45,1),(46,1),(49,1),(91,1),(94,1),(95,1),(107,1)}
        69:{3,5}:{(46,1),(47,1),(96,1)}
        70:{3,7}:{(46,1),(48,1)}
        71:{1,2,5,7}:{(47,1),(48,1),(52,1),(56,1),(97,1),(98,1),(100,1),(104,1)}
        72:{2,5}:{(49,1),(50,1)}
        73:{2,4,7}:{(49,1),(51,1),(58,1),(95,1),(100,1)}
        74:{4,5}:{(50,1),(59,1),(96,1)}
        75:{3,5,7}:{(50,1),(51,1),(52,1),(100,1),(101,1),(102,1)}
        76:{1,6}:{(52,1),(102,1)}
        77:{1,5}:{(53,1),(54,1)}
        78:{1,4,7}:{(53,1),(55,1),(87,1),(93,1),(104,1)}
        79:{4,5}:{(54,1),(88,1),(96,1)}
        80:{3,5,7}:{(54,1),(55,1),(56,1),(104,1),(105,1),(106,1)}
        81:{2,6}:{(56,1),(106,1)}
        82:{2,4,6}:{(57,1),(59,1),(99,1),(107,1),(108,1)}
        83:{2,5,7}:{(57,1),(58,1),(60,1),(108,1),(109,1)}
        84:{4,7}:{(59,1),(60,1)}
        85:{3,6,7}:{(60,1),(61,1),(102,1),(109,1),(110,1)}
        86:{1,5,6}:{(62,1),(63,1),(77,1),(111,1),(112,1),(125,1)}
        87:{1,7}:{(62,1),(64,1)}
        88:{4,6}:{(63,1),(79,1),(113,1)}
        89:{3,5,7}:{(63,1),(64,1),(65,1),(112,1),(113,1),(114,1),(144,1),(145,1)}
        90:{2,6,7}:{(65,1),(81,1),(114,1)}
        91:{1,2,6}:{(66,1),(67,1),(68,1),(115,1),(116,1),(127,1),(143,1)}
        92:{1,3,5}:{(67,1),(69,1),(77,1),(115,1),(117,1),(124,1),(146,1)}
        93:{1,3,7}:{(67,1),(70,1),(78,1),(116,1),(144,1)}
        94:{2,3,5}:{(68,1),(69,1),(72,1),(115,1),(118,1),(121,1),(146,1)}
        95:{2,3,7}:{(68,1),(70,1),(73,1),(116,1),(128,1)}
        96:{4}:{(69,1)}
        97:{3,5,7}:{(69,1),(70,1),(71,1),(119,1),(120,1),(149,1)}
        98:{1,2,6}:{(71,1),(76,1),(81,1),(120,1),(122,1),(125,1)}
        99:{2,4,5}:{(72,1),(74,1),(82,1),(118,1),(121,1)}
       100:{2,5,7}:{(72,1),(73,1),(75,1),(122,1)}
       101:{4,5,7}:{(74,1),(75,1),(84,1),(119,1),(123,1),(129,1),(149,1)}
       102:{3,6}:{(75,1),(76,1),(122,1),(123,1)}
       103:{1,4,5}:{(77,1),(79,1),(111,1),(117,1),(124,1)}
       104:{1,5,7}:{(77,1),(78,1),(80,1),(125,1)}
       105:{4,5,7}:{(79,1),(80,1),(113,1),(119,1),(126,1),(145,1),(149,1)}
       106:{3,6}:{(80,1),(81,1),(125,1),(126,1)}
       107:{3,6}:{(82,1),(121,1),(127,1),(128,1)}
       108:{2,4,7}:{(82,1),(83,1),(84,1),(128,1)}
       109:{2,6,7}:{(83,1),(85,1),(122,1)}
       110:{4,6,7}:{(84,1),(85,1),(123,1),(129,1)}
       111:{1,4,6}:{(86,1),(88,1),(103,1),(130,1),(131,1)}
       112:{1,5,7}:{(86,1),(87,1),(89,1),(131,1),(132,1)}
       113:{4,7}:{(88,1),(89,1)}
       114:{3,6,7}:{(89,1),(90,1),(106,1),(132,1),(133,1)}
       115:{1,2,5}:{(91,1),(92,1),(94,1),(134,1),(138,1),(140,1)}
       116:{1,2,7}:{(91,1),(93,1),(95,1),(142,1),(150,1)}
       117:{1,4}:{(92,1),(96,1),(135,1)}
       118:{2,4}:{(94,1),(96,1),(136,1)}
       119:{4,7}:{(96,1),(97,1),(137,1)}
       120:{3,6}:{(97,1),(98,1),(137,1)}
       121:{3,5}:{(99,1),(107,1),(136,1),(138,1)}
       122:{2,6}:{(100,1),(102,1)}
       123:{4,6}:{(101,1),(102,1),(139,1)}
       124:{3,5}:{(103,1),(130,1),(135,1),(140,1)}
       125:{1,6}:{(104,1),(106,1)}
       126:{4,6}:{(105,1),(106,1),(141,1)}
       127:{1,6}:{(107,1),(138,1),(142,1)}
       128:{3,7}:{(107,1),(108,1),(142,1)}
       129:{5,7}:{(110,1),(139,1)}
       130:{3,6}:{(111,1),(124,1),(143,1),(144,1)}
       131:{1,4,7}:{(111,1),(112,1),(113,1),(144,1)}
       132:{1,6,7}:{(112,1),(114,1),(125,1)}
       133:{4,6,7}:{(113,1),(114,1),(126,1),(145,1)}
       134:{1,2,4}:{(115,1),(117,1),(118,1),(146,1),(147,1),(148,1),(153,1)}
       135:{3,4}:{(117,1),(124,1),(146,1),(147,1)}
       136:{3,4}:{(118,1),(121,1),(146,1),(148,1)}
       137:{4,6}:{(119,1),(120,1),(149,1)}
       138:{1,5}:{(121,1),(127,1),(148,1)}
       139:{5,6}:{(123,1),(129,1),(149,1)}
       140:{2,5}:{(124,1),(143,1),(147,1)}
       141:{5,6}:{(126,1),(145,1),(149,1)}
       142:{1,7}:{(127,1),(128,1)}
       143:{2,6}:{(130,1),(140,1),(150,1)}
       144:{3,7}:{(130,1),(131,1),(150,1)}
       145:{5,7}:{(133,1),(141,1)}
       146:{3}:{(134,1)}
       147:{2,4}:{(135,1),(140,1),(152,1)}
       148:{1,4}:{(136,1),(138,1),(151,1)}
       149:{5}:{(137,1)}
       150:{2,7}:{(143,1),(144,1)}
       151:{1,3}:{(146,1),(148,1),(153,1)}
       152:{2,3}:{(146,1),(147,1),(153,1)}
       153:{1,2}:{(151,1),(152,1)}

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

 323 :  0:{1,2,5,6}:{(2,1),(3,1),(4,1),(34,1),(35,1),(53,1),(54,1)}
        1:{1,2,4,5}:{(3,1),(5,1),(14,1),(18,1),(19,1),(23,1),(34,1),(35,1)}
        2:{3,5,6}:{(0,1),(6,1),(7,1),(9,1),(24,1),(47,1),(48,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(6,1),(9,1),(10,1),(26,1),(27,1),(31,1)}
        4:{1,2,5,7}:{(0,1),(7,1),(10,1),(11,1),(45,1),(46,1)}
        5:{3,5}:{(1,1),(8,1),(9,1)}
        6:{4,6}:{(2,1),(14,1),(16,1)}
        7:{3,5,7}:{(2,1),(4,1),(16,1),(17,1),(22,1),(41,1)}
        8:{3,4}:{(5,1),(18,1),(19,1),(42,1)}
        9:{3,6}:{(3,1),(5,1),(22,1)}
       10:{1,2,4,7}:{(3,1),(4,1),(16,1),(22,1),(39,1),(40,1),(43,1)}
       11:{1,2,6,7}:{(4,1),(17,1),(53,1),(54,1)}
       12:{1,3,5}:{(5,1),(18,1),(20,1),(23,1),(34,1),(42,1),(51,1)}
       13:{2,3,5}:{(5,1),(19,1),(21,1),(23,1),(35,1),(42,1),(51,1)}
       14:{4,5}:{(6,1),(24,1),(56,1)}
       15:{3,4,6}:{(6,1),(8,1),(9,1),(24,1),(26,1),(27,1),(28,1),(47,1),(49,1),(56,1),(61,1)}
       16:{4,7}:{(6,1),(7,1)}
       17:{3,6,7}:{(7,1),(11,1),(29,1),(47,1)}
       18:{1,4}:{(8,1),(12,1),(56,1)}
       19:{2,4}:{(8,1),(13,1),(56,1)}
       20:{1,3,6}:{(9,1),(12,1),(26,1),(31,1),(32,1),(49,1)}
       21:{2,3,6}:{(9,1),(13,1),(27,1),(31,1),(33,1),(49,1)}
       22:{3,7}:{(9,1),(10,1)}
       23:{1,2,5}:{(12,1),(13,1),(30,1),(31,1)}
       24:{3,5}:{(14,1),(15,1),(34,1),(35,1),(62,1)}
       25:{4,5,7}:{(14,1),(16,1),(36,1),(37,1),(41,1),(59,1),(62,1)}
       26:{1,4,6}:{(15,1),(18,1),(20,1),(34,1),(39,1),(53,1)}
       27:{2,4,6}:{(15,1),(19,1),(21,1),(35,1),(40,1),(54,1)}
       28:{3,4,7}:{(15,1),(16,1),(22,1),(36,1),(39,1),(40,1),(55,1),(59,1)}
       29:{4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
       30:{1,2,4}:{(18,1),(19,1),(23,1),(42,1)}
       31:{1,2,6}:{(20,1),(21,1),(23,1),(43,1)}
       32:{1,3,7}:{(20,1),(22,1),(39,1),(43,1),(55,1)}
       33:{2,3,7}:{(21,1),(22,1),(40,1),(43,1),(55,1)}
       34:{1,5}:{(24,1),(26,1)}
       35:{2,5}:{(24,1),(27,1)}
       36:{3,5,7}:{(24,1),(25,1),(28,1),(45,1),(46,1),(47,1)}
       37:{4,6}:{(25,1),(47,1),(48,1)}
       38:{1,2,4,6}:{(26,1),(27,1),(30,1),(31,1),(44,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       39:{1,4,7}:{(26,1),(28,1),(32,1),(45,1)}
       40:{2,4,7}:{(27,1),(28,1),(33,1),(46,1)}
       41:{5,7}:{(29,1),(48,1)}
       42:{3}:{(30,1)}
       43:{1,2,7}:{(31,1),(32,1),(33,1)}
       44:{1,2,5}:{(34,1),(35,1),(38,1),(51,1),(62,1)}
       45:{1,5,7}:{(34,1),(36,1),(39,1),(53,1)}
       46:{2,5,7}:{(35,1),(36,1),(40,1),(54,1)}
       47:{3,6}:{(36,1),(37,1),(53,1),(54,1)}
       48:{5,6}:{(37,1),(41,1),(62,1)}
       49:{3,6}:{(38,1),(42,1),(51,1),(55,1)}
       50:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(52,1),(55,1),(59,1)}
       51:{3,5}:{(44,1),(49,1),(56,1)}
       52:{1,2,5,7}:{(44,1),(45,1),(46,1),(50,1),(57,1),(58,1)}
       53:{1,6}:{(45,1),(47,1)}
       54:{2,6}:{(46,1),(47,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{4}:{(51,1)}
       57:{3,5,7}:{(51,1),(52,1),(55,1),(59,1),(60,1),(62,1)}
       58:{1,2,6}:{(52,1),(53,1),(54,1),(60,1)}
       59:{4,7}:{(56,1),(57,1),(61,1)}
       60:{3,6}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 324 :   0:{1,3,5,7}:{(2,1),(3,1),(4,1),(5,1),(18,1),(22,1),(48,1)}
         1:{1,4,5,7}:{(3,1),(5,1),(6,1),(22,1),(26,1),(50,1),(53,1)}
         2:{1,2,5,7}:{(0,1),(7,1),(8,1),(9,1),(12,1),(33,1),(54,1)}
         3:{1,4,7}:{(0,1),(10,1),(11,1),(63,1),(88,1)}
         4:{1,3,6}:{(0,1),(9,1),(11,1),(13,1),(32,1),(99,1)}
         5:{3,5,7}:{(1,1),(10,1),(12,1),(13,1),(35,1)}
         6:{1,4,6}:{(1,1),(13,1),(15,1),(39,1)}
         7:{2,3,5,7}:{(2,1),(16,1),(17,1),(18,1),(40,1),(44,1),(48,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(16,1),(18,1),(19,1),(20,1),(42,1),(45,1)}
         9:{1,2,6}:{(2,1),(4,1),(17,1),(23,1),(67,1),(103,1)}
        10:{3,4,7}:{(3,1),(5,1),(18,1),(20,1),(21,1),(53,1),(77,1)}
        11:{1,4,6}:{(3,1),(4,1),(21,1),(22,1),(78,1),(95,1)}
        12:{2,5,7}:{(5,1),(20,1),(23,1),(49,1)}
        13:{3,6}:{(5,1),(6,1),(23,1)}
        14:{1,4,6,7}:{(6,1),(24,1),(26,1),(53,1)}
        15:{1,5,6}:{(6,1),(22,1),(25,1),(26,1),(78,1)}
        16:{2,4,7}:{(7,1),(28,1),(29,1),(63,1),(104,1)}
        17:{2,3,6}:{(7,1),(9,1),(29,1),(32,1),(55,1),(100,1)}
        18:{3,7}:{(8,1),(32,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(11,1),(29,1),(32,1),(33,1),(34,1),(58,1),(60,1),(63,1),(84,1)}
        20:{2,4,7}:{(10,1),(12,1),(31,1),(34,1)}
        21:{3,4,6}:{(10,1),(11,1),(13,1),(32,1),(34,1),(35,1),(39,1),(63,1),(66,1),(86,1)}
        22:{1,5}:{(11,1),(35,1)}
        23:{2,6}:{(12,1),(13,1)}
        24:{3,6,7}:{(13,1),(14,1),(36,1),(38,1)}
        25:{3,5,6}:{(13,1),(15,1),(35,1),(37,1),(38,1),(39,1),(66,1)}
        26:{1,5,7}:{(14,1),(15,1),(38,1),(88,1)}
        27:{2,4,5,7}:{(16,1),(40,1),(41,1),(44,1),(70,1),(72,1),(91,1)}
        28:{3,4,7}:{(16,1),(18,1),(40,1),(42,1),(43,1),(91,1),(101,1)}
        29:{2,4,6}:{(16,1),(17,1),(43,1),(44,1),(94,1),(102,1)}
        30:{1,3,7}:{(18,1),(42,1),(45,1),(46,1),(101,1)}
        31:{2,3,7}:{(18,1),(20,1),(45,1),(47,1),(77,1)}
        32:{3,6}:{(18,1),(19,1),(48,1),(93,1)}
        33:{1,2,5}:{(19,1),(22,1),(44,1),(48,1),(49,1),(71,1)}
        34:{2,4,6}:{(20,1),(21,1),(23,1),(47,1),(49,1),(75,1)}
        35:{3,5}:{(21,1),(22,1),(49,1),(50,1)}
        36:{2,6,7}:{(23,1),(24,1),(51,1)}
        37:{2,5,6}:{(23,1),(25,1),(49,1),(51,1),(52,1)}
        38:{3,5,7}:{(24,1),(25,1),(26,1),(51,1),(53,1),(77,1)}
        39:{4,6}:{(25,1),(50,1),(53,1)}
        40:{3,5,7}:{(27,1),(28,1),(54,1),(55,1),(59,1)}
        41:{2,4,6}:{(27,1),(55,1),(57,1),(82,1)}
        42:{1,4,7}:{(28,1),(30,1),(54,1),(58,1)}
        43:{3,4,6}:{(28,1),(29,1),(32,1),(55,1),(58,1),(59,1),(63,1),(82,1),(85,1),(97,1)}
        44:{2,5}:{(29,1),(59,1)}
        45:{1,2,7}:{(30,1),(31,1),(60,1),(88,1),(104,1)}
        46:{1,3,6}:{(30,1),(32,1),(58,1),(60,1),(61,1),(97,1)}
        47:{2,3,6}:{(31,1),(32,1),(34,1),(60,1),(62,1),(66,1)}
        48:{3,5}:{(32,1),(33,1),(63,1)}
        49:{2,5}:{(34,1),(35,1)}
        50:{4,5}:{(35,1),(39,1),(63,1)}
        51:{2,5,7}:{(36,1),(37,1),(38,1),(65,1)}
        52:{2,4,6}:{(37,1),(39,1),(64,1),(65,1),(66,1)}
        53:{4,7}:{(38,1),(39,1)}
        54:{1,5,7}:{(40,1),(42,1),(67,1),(71,1)}
        55:{3,6}:{(40,1),(41,1),(67,1)}
        56:{2,4,6,7}:{(41,1),(68,1),(70,1),(91,1)}
        57:{2,5,6}:{(41,1),(44,1),(69,1),(70,1),(102,1)}
        58:{1,4,6}:{(42,1),(43,1),(46,1),(67,1),(71,1),(74,1)}
        59:{3,5}:{(43,1),(44,1),(71,1),(72,1)}
        60:{1,2,6}:{(45,1),(46,1),(47,1),(73,1),(78,1),(102,1)}
        61:{1,3,5}:{(46,1),(48,1),(71,1),(73,1),(74,1),(92,1),(93,1)}
        62:{2,3,5}:{(47,1),(48,1),(49,1),(73,1),(75,1),(76,1),(93,1)}
        63:{4}:{(48,1)}
        64:{2,4,5}:{(49,1),(50,1),(52,1),(75,1),(76,1)}
        65:{2,4,7}:{(51,1),(52,1),(53,1),(77,1)}
        66:{3,6}:{(52,1),(76,1),(77,1),(78,1)}
        67:{1,6}:{(54,1),(55,1)}
        68:{3,6,7}:{(55,1),(56,1),(79,1),(81,1)}
        69:{3,5,6}:{(55,1),(57,1),(59,1),(80,1),(81,1),(82,1),(97,1)}
        70:{2,5,7}:{(56,1),(57,1),(81,1),(104,1)}
        71:{1,5}:{(58,1),(59,1)}
        72:{4,5}:{(59,1),(63,1),(82,1)}
        73:{1,2,5}:{(60,1),(61,1),(62,1),(84,1),(87,1),(98,1)}
        74:{1,4}:{(61,1),(63,1),(85,1)}
        75:{2,4}:{(62,1),(63,1),(86,1)}
        76:{3,5}:{(64,1),(66,1),(86,1),(87,1)}
        77:{3,7}:{(65,1),(66,1),(88,1)}
        78:{1,6}:{(66,1),(87,1),(88,1)}
        79:{1,6,7}:{(67,1),(68,1),(89,1)}
        80:{1,5,6}:{(67,1),(69,1),(71,1),(89,1),(90,1)}
        81:{3,5,7}:{(68,1),(69,1),(70,1),(89,1),(91,1),(101,1)}
        82:{4,6}:{(69,1),(72,1),(91,1)}
        83:{1,4,5}:{(71,1),(72,1),(74,1),(90,1),(92,1)}
        84:{1,2,4}:{(73,1),(74,1),(75,1),(93,1),(94,1),(95,1),(103,1)}
        85:{3,4}:{(74,1),(92,1),(93,1),(94,1)}
        86:{3,4}:{(75,1),(76,1),(93,1),(95,1)}
        87:{1,5}:{(76,1),(78,1),(95,1)}
        88:{1,7}:{(77,1),(78,1)}
        89:{1,5,7}:{(79,1),(80,1),(81,1),(96,1)}
        90:{1,4,6}:{(80,1),(82,1),(83,1),(96,1),(97,1)}
        91:{4,7}:{(81,1),(82,1)}
        92:{3,5}:{(83,1),(85,1),(97,1),(98,1)}
        93:{3}:{(84,1)}
        94:{2,4}:{(85,1),(98,1),(100,1)}
        95:{1,4}:{(86,1),(87,1),(99,1)}
        96:{1,4,7}:{(89,1),(90,1),(91,1),(101,1)}
        97:{3,6}:{(90,1),(92,1),(101,1),(102,1)}
        98:{2,5}:{(92,1),(94,1),(102,1)}
        99:{1,3}:{(93,1),(95,1),(103,1)}
       100:{2,3}:{(93,1),(94,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{2,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{2,7}:{(101,1),(102,1)}

 325 :   0:{1,6,7}:{(3,1),(5,1),(84,1)}
         1:{1,5,6}:{(4,1),(5,1),(6,1),(47,1),(52,1),(84,1)}
         2:{1,4,5}:{(6,1),(7,1),(21,1),(24,1),(52,1)}
         3:{3,6,7}:{(0,1),(8,1),(10,1),(11,1),(68,1)}
         4:{3,5,6}:{(1,1),(9,1),(11,1),(12,1),(15,1),(32,1),(34,1),(36,1),(68,1)}
         5:{1,5,7}:{(0,1),(1,1),(11,1),(14,1),(64,1)}
         6:{1,4,6}:{(1,1),(2,1),(12,1),(14,1),(15,1)}
         7:{3,5}:{(2,1),(13,1),(15,1),(17,1)}
         8:{2,6,7}:{(3,1),(18,1),(85,1)}
         9:{2,5,6}:{(4,1),(18,1),(19,1),(28,1),(53,1),(85,1)}
        10:{4,6,7}:{(3,1),(20,1),(22,1),(50,1)}
        11:{3,5,7}:{(3,1),(4,1),(5,1),(18,1),(20,1),(22,1),(26,1),(46,1)}
        12:{4,6}:{(4,1),(21,1),(22,1)}
        13:{3,4}:{(7,1),(24,1),(25,1),(57,1)}
        14:{1,4,7}:{(5,1),(6,1),(22,1),(26,1)}
        15:{3,6}:{(6,1),(7,1),(26,1),(28,1)}
        16:{1,3,5}:{(7,1),(24,1),(27,1),(29,1),(52,1),(57,1),(87,1)}
        17:{2,5}:{(7,1),(25,1),(28,1)}
        18:{2,5,7}:{(8,1),(9,1),(11,1),(31,1),(42,1)}
        19:{2,4,6}:{(9,1),(12,1),(30,1),(31,1),(32,1)}
        20:{5,7}:{(10,1),(34,1)}
        21:{4,5}:{(12,1),(36,1),(102,1)}
        22:{4,7}:{(11,1),(12,1)}
        23:{3,4,6}:{(12,1),(13,1),(15,1),(32,1),(36,1),(37,1),(38,1),(39,1),(61,1),(68,1),(73,1),(102,1),(129,1)}
        24:{1,4}:{(13,1),(16,1),(102,1)}
        25:{2,4}:{(13,1),(17,1),(33,1)}
        26:{3,7}:{(14,1),(15,1),(42,1)}
        27:{1,3,6}:{(15,1),(16,1),(38,1),(41,1),(43,1),(73,1),(94,1)}
        28:{2,6}:{(15,1),(17,1),(42,1)}
        29:{1,2,5}:{(16,1),(17,1),(40,1),(43,1),(44,1),(99,1)}
        30:{2,4,5}:{(19,1),(21,1),(45,1),(53,1),(79,1)}
        31:{2,4,7}:{(18,1),(19,1),(22,1),(46,1)}
        32:{3,6}:{(19,1),(45,1),(46,1),(47,1)}
        33:{2,3}:{(25,1),(49,1),(57,1)}
        34:{5,6}:{(20,1),(50,1),(140,1)}
        35:{4,5,7}:{(20,1),(21,1),(22,1),(50,1),(51,1),(116,1),(140,1)}
        36:{3,5}:{(21,1),(23,1),(52,1),(53,1),(140,1)}
        37:{3,4,7}:{(22,1),(23,1),(26,1),(46,1),(51,1),(54,1),(55,1),(88,1),(116,1)}
        38:{1,4,6}:{(23,1),(24,1),(27,1),(47,1),(52,1),(54,1),(78,1),(84,1)}
        39:{2,4,6}:{(23,1),(25,1),(28,1),(48,1),(53,1),(55,1),(79,1),(85,1)}
        40:{1,2,4}:{(24,1),(25,1),(29,1),(49,1),(57,1),(60,1),(83,1)}
        41:{1,3,7}:{(26,1),(27,1),(54,1),(58,1),(88,1)}
        42:{2,7}:{(26,1),(28,1)}
        43:{1,2,6}:{(27,1),(28,1),(29,1),(58,1),(59,1),(109,1),(114,1)}
        44:{2,3,5}:{(29,1),(57,1),(59,1),(60,1),(87,1),(90,1),(92,1)}
        45:{3,5}:{(30,1),(32,1),(61,1),(62,1)}
        46:{3,7}:{(31,1),(32,1),(64,1)}
        47:{1,6}:{(32,1),(62,1),(64,1)}
        48:{2,3,6}:{(32,1),(33,1),(39,1),(63,1),(65,1),(66,1),(73,1)}
        49:{1,2}:{(33,1),(67,1)}
        50:{4,6}:{(34,1),(35,1),(68,1)}
        51:{3,5,7}:{(35,1),(36,1),(37,1),(68,1),(69,1),(70,1)}
        52:{1,5}:{(36,1),(38,1)}
        53:{2,5}:{(36,1),(39,1)}
        54:{1,4,7}:{(37,1),(38,1),(41,1),(64,1),(69,1)}
        55:{2,4,7}:{(37,1),(39,1),(42,1),(65,1),(70,1)}
        56:{1,2,4,6}:{(38,1),(39,1),(40,1),(43,1),(66,1),(71,1),(72,1),(73,1),(76,1),(95,1),(98,1),(100,1),(102,1),(129,1)}
        57:{3}:{(40,1)}
        58:{1,2,7}:{(41,1),(42,1),(43,1),(75,1),(128,1)}
        59:{2,3,6}:{(43,1),(44,1),(73,1),(75,1),(76,1),(105,1),(123,1)}
        60:{2,4}:{(44,1),(74,1),(102,1)}
        61:{3,4}:{(45,1),(78,1),(79,1),(110,1)}
        62:{1,5}:{(45,1),(47,1),(78,1)}
        63:{2,3,5}:{(45,1),(48,1),(53,1),(79,1),(80,1),(87,1),(110,1)}
        64:{1,7}:{(46,1),(47,1)}
        65:{2,3,7}:{(46,1),(48,1),(55,1),(81,1),(88,1)}
        66:{1,2,6}:{(47,1),(48,1),(49,1),(80,1),(81,1),(82,1),(150,1)}
        67:{1,3}:{(49,1),(57,1),(83,1)}
        68:{3,6}:{(50,1),(51,1),(84,1),(85,1)}
        69:{1,5,7}:{(51,1),(52,1),(54,1),(84,1)}
        70:{2,5,7}:{(51,1),(53,1),(55,1),(85,1)}
        71:{1,2,5}:{(52,1),(53,1),(56,1),(87,1),(92,1),(113,1),(140,1)}
        72:{1,2,4,7}:{(54,1),(55,1),(56,1),(58,1),(81,1),(86,1),(88,1),(91,1),(112,1),(116,1)}
        73:{3,6}:{(56,1),(57,1),(87,1),(88,1),(110,1)}
        74:{3,4}:{(57,1),(60,1),(83,1),(90,1)}
        75:{2,3,7}:{(58,1),(59,1),(88,1),(91,1),(120,1)}
        76:{2,4,6}:{(59,1),(60,1),(89,1),(91,1),(92,1),(121,1),(135,1),(150,1)}
        77:{2,4,5}:{(60,1),(90,1),(92,1),(93,1),(117,1)}
        78:{1,4}:{(61,1),(62,1),(94,1)}
        79:{2,4}:{(61,1),(63,1),(102,1)}
        80:{1,2,5}:{(62,1),(63,1),(66,1),(95,1),(96,1),(144,1)}
        81:{1,2,7}:{(64,1),(65,1),(66,1),(97,1),(153,1)}
        82:{1,3,6}:{(66,1),(67,1),(73,1),(96,1),(97,1),(98,1),(145,1)}
        83:{1,4}:{(67,1),(74,1),(99,1)}
        84:{1,6}:{(68,1),(69,1)}
        85:{2,6}:{(68,1),(70,1)}
        86:{1,2,5,7}:{(69,1),(70,1),(71,1),(72,1),(100,1),(101,1),(106,1),(126,1)}
        87:{3,5}:{(71,1),(73,1),(102,1)}
        88:{3,7}:{(72,1),(73,1)}
        89:{3,4,6}:{(73,1),(74,1),(76,1),(98,1),(102,1),(103,1),(104,1),(105,1),(124,1),(129,1),(131,1),(132,1),(145,1)}
        90:{3,5}:{(74,1),(77,1),(99,1),(105,1)}
        91:{2,4,7}:{(75,1),(76,1),(103,1),(106,1),(153,1)}
        92:{2,5}:{(76,1),(104,1)}
        93:{2,4,6}:{(77,1),(105,1),(107,1),(108,1),(131,1)}
        94:{1,3}:{(78,1),(109,1),(110,1)}
        95:{1,2,4}:{(78,1),(79,1),(80,1),(109,1),(110,1),(111,1),(135,1)}
        96:{1,3,5}:{(80,1),(82,1),(87,1),(110,1),(111,1),(113,1),(136,1)}
        97:{1,3,7}:{(81,1),(82,1),(88,1),(112,1),(151,1)}
        98:{1,4,6}:{(82,1),(83,1),(89,1),(111,1),(112,1),(113,1),(114,1),(138,1)}
        99:{1,5}:{(83,1),(90,1),(114,1)}
       100:{1,2,6}:{(84,1),(85,1),(86,1),(115,1),(121,1),(138,1)}
       101:{3,5,7}:{(86,1),(87,1),(88,1),(115,1),(116,1),(140,1)}
       102:{4}:{(87,1)}
       103:{3,4,7}:{(88,1),(89,1),(91,1),(112,1),(116,1),(118,1),(120,1),(142,1),(151,1)}
       104:{3,5}:{(89,1),(92,1),(113,1),(117,1),(140,1)}
       105:{3,6}:{(90,1),(93,1),(114,1),(120,1)}
       106:{2,5,7}:{(91,1),(92,1),(118,1),(121,1)}
       107:{2,5,6}:{(92,1),(93,1),(119,1),(121,1),(122,1),(150,1)}
       108:{2,4,7}:{(93,1),(120,1),(122,1),(142,1)}
       109:{1,2}:{(94,1),(123,1)}
       110:{3}:{(95,1)}
       111:{1,4}:{(96,1),(102,1),(124,1)}
       112:{1,4,7}:{(97,1),(98,1),(103,1),(126,1),(128,1)}
       113:{1,5}:{(98,1),(104,1)}
       114:{1,6}:{(99,1),(105,1),(128,1)}
       115:{3,6}:{(100,1),(101,1),(129,1)}
       116:{4,7}:{(101,1),(102,1),(129,1)}
       117:{4,5}:{(102,1),(104,1),(131,1)}
       118:{3,5,7}:{(103,1),(104,1),(106,1),(126,1),(130,1),(132,1)}
       119:{3,5,6}:{(104,1),(105,1),(107,1),(127,1),(131,1),(132,1),(133,1),(145,1),(148,1)}
       120:{3,7}:{(105,1),(108,1),(128,1)}
       121:{2,6}:{(106,1),(132,1)}
       122:{2,5,7}:{(107,1),(108,1),(133,1),(134,1),(153,1)}
       123:{2,3}:{(109,1),(110,1),(135,1)}
       124:{3,4}:{(110,1),(111,1),(135,1),(136,1)}
       125:{1,4,5}:{(111,1),(113,1),(117,1),(136,1),(137,1)}
       126:{1,5,7}:{(112,1),(113,1),(118,1),(138,1)}
       127:{1,5,6}:{(113,1),(114,1),(119,1),(137,1),(138,1),(139,1)}
       128:{1,7}:{(114,1),(120,1)}
       129:{4,6}:{(115,1),(116,1),(140,1)}
       130:{4,5,7}:{(116,1),(117,1),(118,1),(140,1),(141,1),(142,1),(152,1)}
       131:{4,6}:{(117,1),(119,1),(142,1)}
       132:{3,6}:{(118,1),(121,1),(138,1),(141,1)}
       133:{3,5,7}:{(119,1),(120,1),(122,1),(139,1),(142,1),(143,1),(151,1),(152,1)}
       134:{2,6,7}:{(121,1),(122,1),(143,1)}
       135:{2,4}:{(123,1),(124,1),(144,1)}
       136:{3,5}:{(124,1),(125,1),(144,1),(145,1)}
       137:{1,4,6}:{(125,1),(127,1),(131,1),(145,1),(146,1)}
       138:{1,6}:{(126,1),(132,1)}
       139:{1,5,7}:{(127,1),(128,1),(133,1),(146,1),(147,1)}
       140:{5}:{(129,1)}
       141:{4,6}:{(130,1),(132,1),(148,1)}
       142:{4,7}:{(131,1),(133,1)}
       143:{3,6,7}:{(132,1),(133,1),(134,1),(147,1),(149,1)}
       144:{2,5}:{(135,1),(136,1),(150,1)}
       145:{3,6}:{(136,1),(137,1),(150,1),(151,1)}
       146:{1,4,7}:{(137,1),(139,1),(142,1),(151,1)}
       147:{1,6,7}:{(138,1),(139,1),(143,1)}
       148:{5,6}:{(140,1),(141,1),(152,1)}
       149:{4,6,7}:{(141,1),(142,1),(143,1),(152,1)}
       150:{2,6}:{(144,1),(145,1),(153,1)}
       151:{3,7}:{(145,1),(146,1),(153,1)}
       152:{5,7}:{(148,1),(149,1)}
       153:{2,7}:{(150,1),(151,1)}

 326 :   0:{1,4,5,7}:{(1,1),(2,1),(9,1),(13,1),(33,1),(35,1),(37,1)}
         1:{3,5,7}:{(0,1),(3,1),(6,1),(7,1),(22,1)}
         2:{1,4,6}:{(0,1),(7,1),(8,1),(28,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(11,1),(31,1),(37,1),(60,1)}
         4:{1,4,6,7}:{(2,1),(12,1),(13,1),(37,1)}
         5:{1,3,5,7}:{(1,1),(9,1),(14,1),(15,1),(31,1),(33,1),(58,1)}
         6:{2,5,7}:{(1,1),(10,1),(16,1),(34,1)}
         7:{3,6}:{(1,1),(2,1),(16,1)}
         8:{1,5,6}:{(2,1),(13,1),(17,1),(33,1),(63,1)}
         9:{1,4,7}:{(3,1),(5,1),(20,1),(71,1),(73,1)}
        10:{2,4,7}:{(3,1),(6,1),(18,1),(21,1)}
        11:{3,4,6}:{(3,1),(7,1),(20,1),(21,1),(22,1),(28,1),(45,1),(51,1),(68,1),(71,1)}
        12:{3,6,7}:{(4,1),(7,1),(23,1),(24,1)}
        13:{1,5,7}:{(4,1),(8,1),(24,1),(73,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(19,1),(25,1),(26,1),(46,1),(64,1)}
        15:{1,3,6}:{(5,1),(7,1),(20,1),(26,1),(45,1),(89,1)}
        16:{2,6}:{(6,1),(7,1)}
        17:{3,5,6}:{(7,1),(8,1),(22,1),(24,1),(27,1),(28,1),(51,1)}
        18:{2,3,7}:{(10,1),(29,1),(30,1),(31,1),(60,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(14,1),(29,1),(31,1),(32,1),(38,1),(52,1)}
        20:{1,4,6}:{(9,1),(11,1),(15,1),(33,1),(63,1),(80,1)}
        21:{2,4,6}:{(10,1),(11,1),(16,1),(30,1),(34,1),(55,1)}
        22:{3,5}:{(11,1),(33,1),(34,1),(35,1)}
        23:{2,6,7}:{(12,1),(16,1),(36,1)}
        24:{3,5,7}:{(12,1),(13,1),(17,1),(36,1),(37,1),(60,1)}
        25:{2,3,5,7}:{(14,1),(31,1),(38,1),(39,1),(56,1),(58,1),(62,1)}
        26:{1,2,6}:{(14,1),(15,1),(16,1),(39,1),(76,1),(97,1)}
        27:{2,5,6}:{(16,1),(17,1),(34,1),(36,1),(40,1)}
        28:{4,6}:{(17,1),(35,1),(37,1)}
        29:{1,2,7}:{(18,1),(41,1),(42,1),(73,1),(104,1)}
        30:{2,3,6}:{(18,1),(21,1),(42,1),(43,1),(45,1),(51,1)}
        31:{3,7}:{(19,1),(45,1)}
        32:{1,2,4,6}:{(19,1),(20,1),(21,1),(26,1),(42,1),(45,1),(46,1),(50,1),(65,1),(67,1),(71,1)}
        33:{1,5}:{(20,1),(22,1)}
        34:{2,5}:{(21,1),(22,1)}
        35:{4,5}:{(22,1),(28,1),(71,1)}
        36:{2,5,7}:{(23,1),(24,1),(27,1),(48,1)}
        37:{4,7}:{(24,1),(28,1)}
        38:{2,4,7}:{(25,1),(44,1),(50,1),(71,1),(104,1)}
        39:{2,3,6}:{(25,1),(26,1),(45,1),(50,1),(69,1),(90,1)}
        40:{2,4,6}:{(27,1),(28,1),(47,1),(48,1),(51,1)}
        41:{1,3,7}:{(29,1),(31,1),(52,1),(53,1),(102,1)}
        42:{1,2,6}:{(29,1),(30,1),(53,1),(54,1),(63,1),(103,1)}
        43:{2,3,5}:{(30,1),(34,1),(54,1),(55,1),(58,1),(59,1),(79,1)}
        44:{3,4,7}:{(31,1),(38,1),(52,1),(56,1),(57,1),(98,1),(102,1)}
        45:{3,6}:{(31,1),(32,1),(58,1),(79,1)}
        46:{1,2,5}:{(32,1),(33,1),(34,1),(58,1),(62,1),(77,1)}
        47:{2,4,5}:{(34,1),(35,1),(40,1),(55,1),(59,1)}
        48:{2,4,7}:{(36,1),(37,1),(40,1),(60,1)}
        49:{2,4,5,7}:{(38,1),(56,1),(61,1),(62,1),(83,1),(84,1),(98,1)}
        50:{2,4,6}:{(38,1),(39,1),(57,1),(62,1),(96,1),(103,1)}
        51:{3,6}:{(40,1),(59,1),(60,1),(63,1)}
        52:{1,4,7}:{(41,1),(44,1),(64,1),(65,1)}
        53:{1,3,6}:{(41,1),(42,1),(45,1),(65,1),(66,1),(100,1)}
        54:{1,2,5}:{(42,1),(43,1),(66,1),(67,1),(72,1),(101,1)}
        55:{2,4}:{(43,1),(68,1),(71,1)}
        56:{3,5,7}:{(44,1),(49,1),(64,1),(69,1),(70,1)}
        57:{3,4,6}:{(44,1),(45,1),(50,1),(65,1),(69,1),(70,1),(71,1),(88,1),(92,1),(100,1)}
        58:{3,5}:{(45,1),(46,1),(71,1)}
        59:{3,5}:{(47,1),(51,1),(68,1),(72,1)}
        60:{3,7}:{(48,1),(51,1),(73,1)}
        61:{2,4,6}:{(49,1),(69,1),(75,1),(92,1)}
        62:{2,5}:{(50,1),(70,1)}
        63:{1,6}:{(51,1),(72,1),(73,1)}
        64:{1,5,7}:{(52,1),(56,1),(76,1),(77,1)}
        65:{1,4,6}:{(52,1),(53,1),(57,1),(76,1),(77,1),(78,1)}
        66:{1,3,5}:{(53,1),(54,1),(58,1),(77,1),(78,1),(79,1),(95,1)}
        67:{1,2,4}:{(54,1),(55,1),(78,1),(79,1),(80,1),(96,1),(97,1)}
        68:{3,4}:{(55,1),(59,1),(79,1),(80,1)}
        69:{3,6}:{(56,1),(61,1),(76,1)}
        70:{3,5}:{(57,1),(62,1),(77,1),(83,1)}
        71:{4}:{(58,1)}
        72:{1,5}:{(59,1),(63,1),(80,1)}
        73:{1,7}:{(60,1),(63,1)}
        74:{2,4,6,7}:{(61,1),(81,1),(84,1),(98,1)}
        75:{2,5,6}:{(61,1),(62,1),(82,1),(84,1),(103,1)}
        76:{1,6}:{(64,1),(69,1)}
        77:{1,5}:{(65,1),(70,1)}
        78:{1,4}:{(66,1),(71,1),(88,1)}
        79:{3}:{(67,1)}
        80:{1,4}:{(68,1),(72,1),(89,1)}
        81:{3,6,7}:{(69,1),(74,1),(85,1),(91,1)}
        82:{3,5,6}:{(69,1),(70,1),(75,1),(86,1),(91,1),(92,1),(100,1)}
        83:{4,5}:{(70,1),(71,1),(92,1)}
        84:{2,5,7}:{(74,1),(75,1),(91,1),(104,1)}
        85:{1,6,7}:{(76,1),(81,1),(93,1)}
        86:{1,5,6}:{(76,1),(77,1),(82,1),(93,1),(94,1)}
        87:{1,4,5}:{(77,1),(78,1),(83,1),(94,1),(95,1)}
        88:{3,4}:{(78,1),(79,1),(95,1),(96,1)}
        89:{1,3}:{(79,1),(80,1),(97,1)}
        90:{2,3}:{(79,1),(96,1),(97,1)}
        91:{3,5,7}:{(81,1),(82,1),(84,1),(93,1),(98,1),(102,1)}
        92:{4,6}:{(82,1),(83,1),(98,1)}
        93:{1,5,7}:{(85,1),(86,1),(91,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(92,1),(99,1),(100,1)}
        95:{3,5}:{(87,1),(88,1),(100,1),(101,1)}
        96:{2,4}:{(88,1),(90,1),(101,1)}
        97:{1,2}:{(89,1),(90,1)}
        98:{4,7}:{(91,1),(92,1)}
        99:{1,4,7}:{(93,1),(94,1),(98,1),(102,1)}
       100:{3,6}:{(94,1),(95,1),(102,1),(103,1)}
       101:{2,5}:{(95,1),(96,1),(103,1)}
       102:{3,7}:{(99,1),(100,1),(104,1)}
       103:{2,6}:{(100,1),(101,1),(104,1)}
       104:{2,7}:{(102,1),(103,1)}

 327 :   0:{1,4,6,7}:{(1,1),(2,1),(9,1),(10,1)}
         1:{3,6,7}:{(0,1),(3,1),(4,1),(16,1)}
         2:{1,5,7}:{(0,1),(4,1),(5,1),(30,1)}
         3:{2,6,7}:{(1,1),(7,1),(26,1)}
         4:{3,5,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(20,1)}
         5:{1,5,6}:{(2,1),(8,1),(10,1),(39,1),(42,1)}
         6:{1,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(21,1),(23,1),(42,1)}
         7:{2,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{3,5,6}:{(4,1),(5,1),(12,1),(14,1),(16,1),(29,1),(32,1)}
         9:{4,7}:{(4,1),(14,1)}
        10:{1,4,6}:{(5,1),(6,1),(14,1),(16,1)}
        11:{3,5,7}:{(6,1),(15,1),(16,1),(18,1),(32,1)}
        12:{2,5,6}:{(7,1),(8,1),(19,1),(26,1),(43,1)}
        13:{2,4,7}:{(7,1),(9,1),(19,1),(20,1)}
        14:{4,6}:{(8,1),(9,1),(21,1)}
        15:{3,4,7}:{(9,1),(11,1),(20,1),(22,1),(23,1),(24,1),(45,1)}
        16:{3,6}:{(10,1),(11,1),(26,1)}
        17:{1,3,5,7}:{(11,1),(23,1),(25,1),(27,1),(42,1),(45,1),(63,1)}
        18:{2,5,7}:{(11,1),(24,1),(26,1),(43,1)}
        19:{2,4,6}:{(12,1),(13,1),(14,1),(28,1),(29,1)}
        20:{3,7}:{(13,1),(29,1),(30,1)}
        21:{4,5}:{(14,1),(32,1),(73,1)}
        22:{3,4,6}:{(14,1),(15,1),(16,1),(29,1),(32,1),(33,1),(34,1),(48,1),(54,1),(73,1)}
        23:{1,4,7}:{(15,1),(17,1),(30,1),(33,1),(73,1)}
        24:{2,4,7}:{(15,1),(18,1),(31,1),(34,1)}
        25:{1,3,6}:{(16,1),(17,1),(33,1),(36,1),(54,1),(68,1)}
        26:{2,6}:{(16,1),(18,1)}
        27:{1,2,5,7}:{(17,1),(18,1),(35,1),(36,1),(37,1),(53,1),(72,1)}
        28:{2,4,5}:{(19,1),(21,1),(38,1),(43,1),(59,1)}
        29:{3,6}:{(19,1),(20,1),(38,1),(39,1)}
        30:{1,7}:{(20,1),(39,1)}
        31:{2,3,7}:{(20,1),(24,1),(40,1),(41,1),(45,1)}
        32:{3,5}:{(21,1),(22,1),(42,1),(43,1)}
        33:{1,4,6}:{(22,1),(23,1),(25,1),(39,1),(42,1),(58,1)}
        34:{2,4,6}:{(22,1),(24,1),(26,1),(40,1),(43,1),(59,1)}
        35:{1,2,4,7}:{(23,1),(24,1),(27,1),(41,1),(44,1),(45,1),(47,1),(62,1)}
        36:{1,2,6}:{(25,1),(26,1),(27,1),(46,1),(78,1),(82,1)}
        37:{2,3,5,7}:{(27,1),(45,1),(46,1),(47,1),(63,1),(65,1),(66,1)}
        38:{3,5}:{(28,1),(29,1),(48,1),(49,1)}
        39:{1,6}:{(29,1),(30,1),(49,1)}
        40:{2,3,6}:{(29,1),(31,1),(34,1),(50,1),(51,1),(54,1)}
        41:{1,2,7}:{(30,1),(31,1),(51,1),(52,1),(104,1)}
        42:{1,5}:{(32,1),(33,1)}
        43:{2,5}:{(32,1),(34,1)}
        44:{1,2,4,6}:{(33,1),(34,1),(35,1),(36,1),(51,1),(53,1),(54,1),(56,1),(69,1),(71,1),(73,1)}
        45:{3,7}:{(35,1),(54,1)}
        46:{2,3,6}:{(36,1),(37,1),(54,1),(56,1),(75,1),(87,1)}
        47:{2,4,7}:{(37,1),(55,1),(56,1),(73,1),(104,1)}
        48:{3,4}:{(38,1),(58,1),(59,1),(79,1)}
        49:{1,5}:{(38,1),(39,1),(58,1)}
        50:{2,3,5}:{(38,1),(40,1),(43,1),(59,1),(60,1),(63,1),(79,1)}
        51:{1,2,6}:{(39,1),(40,1),(41,1),(60,1),(61,1),(102,1)}
        52:{1,3,7}:{(41,1),(45,1),(61,1),(62,1),(103,1)}
        53:{1,2,5}:{(42,1),(43,1),(44,1),(63,1),(66,1),(81,1)}
        54:{3,6}:{(44,1),(45,1),(63,1),(79,1)}
        55:{3,4,7}:{(45,1),(47,1),(62,1),(64,1),(65,1),(98,1),(103,1)}
        56:{2,4,6}:{(46,1),(47,1),(64,1),(66,1),(94,1),(102,1)}
        57:{2,4,5,7}:{(47,1),(65,1),(66,1),(67,1),(83,1),(86,1),(98,1)}
        58:{1,4}:{(48,1),(49,1),(68,1)}
        59:{2,4}:{(48,1),(50,1),(73,1)}
        60:{1,2,5}:{(49,1),(50,1),(51,1),(69,1),(70,1),(99,1)}
        61:{1,3,6}:{(51,1),(52,1),(54,1),(70,1),(71,1),(100,1)}
        62:{1,4,7}:{(52,1),(55,1),(71,1),(72,1)}
        63:{3,5}:{(53,1),(54,1),(73,1)}
        64:{3,4,6}:{(54,1),(55,1),(56,1),(71,1),(73,1),(74,1),(75,1),(88,1),(92,1),(100,1)}
        65:{3,5,7}:{(55,1),(57,1),(72,1),(74,1),(75,1)}
        66:{2,5}:{(56,1),(74,1)}
        67:{2,4,6}:{(57,1),(75,1),(76,1),(92,1)}
        68:{1,3}:{(58,1),(78,1),(79,1)}
        69:{1,2,4}:{(58,1),(59,1),(60,1),(78,1),(79,1),(80,1),(94,1)}
        70:{1,3,5}:{(60,1),(61,1),(63,1),(79,1),(80,1),(81,1),(95,1)}
        71:{1,4,6}:{(61,1),(62,1),(64,1),(80,1),(81,1),(82,1)}
        72:{1,5,7}:{(62,1),(65,1),(81,1),(82,1)}
        73:{4}:{(63,1)}
        74:{3,5}:{(64,1),(66,1),(81,1),(83,1)}
        75:{3,6}:{(65,1),(67,1),(82,1)}
        76:{2,5,6}:{(66,1),(67,1),(84,1),(86,1),(102,1)}
        77:{2,4,6,7}:{(67,1),(85,1),(86,1),(98,1)}
        78:{1,2}:{(68,1),(87,1)}
        79:{3}:{(69,1)}
        80:{1,4}:{(70,1),(73,1),(88,1)}
        81:{1,5}:{(71,1),(74,1)}
        82:{1,6}:{(72,1),(75,1)}
        83:{4,5}:{(73,1),(74,1),(92,1)}
        84:{3,5,6}:{(74,1),(75,1),(76,1),(90,1),(92,1),(93,1),(100,1)}
        85:{3,6,7}:{(75,1),(77,1),(91,1),(93,1)}
        86:{2,5,7}:{(76,1),(77,1),(93,1),(104,1)}
        87:{2,3}:{(78,1),(79,1),(94,1)}
        88:{3,4}:{(79,1),(80,1),(94,1),(95,1)}
        89:{1,4,5}:{(80,1),(81,1),(83,1),(95,1),(96,1)}
        90:{1,5,6}:{(81,1),(82,1),(84,1),(96,1),(97,1)}
        91:{1,6,7}:{(82,1),(85,1),(97,1)}
        92:{4,6}:{(83,1),(84,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(86,1),(97,1),(98,1),(103,1)}
        94:{2,4}:{(87,1),(88,1),(99,1)}
        95:{3,5}:{(88,1),(89,1),(99,1),(100,1)}
        96:{1,4,6}:{(89,1),(90,1),(92,1),(100,1),(101,1)}
        97:{1,5,7}:{(90,1),(91,1),(93,1),(101,1)}
        98:{4,7}:{(92,1),(93,1)}
        99:{2,5}:{(94,1),(95,1),(102,1)}
       100:{3,6}:{(95,1),(96,1),(102,1),(103,1)}
       101:{1,4,7}:{(96,1),(97,1),(98,1),(103,1)}
       102:{2,6}:{(99,1),(100,1),(104,1)}
       103:{3,7}:{(100,1),(101,1),(104,1)}
       104:{2,7}:{(102,1),(103,1)}

 328 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(11,1),(19,1),(39,1),(45,1),(85,1),(98,1)}
         1:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(27,1),(31,1),(72,1)}
         2:{2,3,5}:{(0,1),(6,1),(8,1),(29,1),(108,1),(124,1)}
         3:{2,3,4,7}:{(0,1),(7,1),(9,1),(25,1),(64,1),(71,1),(111,1),(206,1)}
         4:{2,3,5,6}:{(2,1),(10,1),(11,1),(12,1),(19,1),(35,1),(39,1),(54,1),(103,1)}
         5:{1,3,6}:{(1,1),(13,1),(14,1),(39,1)}
         6:{1,2,5}:{(1,1),(2,1),(13,1),(99,1)}
         7:{1,2,4,7}:{(1,1),(3,1),(14,1),(16,1),(46,1),(208,1)}
         8:{2,4,5}:{(2,1),(11,1),(17,1),(146,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(16,1),(18,1),(19,1),(50,1),(132,1),(198,1),(201,1)}
        10:{1,2,5,6}:{(4,1),(6,1),(21,1),(22,1),(23,1),(31,1),(55,1),(108,1),(152,1)}
        11:{2,4,6}:{(4,1),(8,1),(24,1),(25,1),(128,1)}
        12:{2,3,5,7}:{(4,1),(23,1),(25,1),(26,1),(56,1),(64,1),(68,1),(117,1)}
        13:{1,3,5}:{(5,1),(6,1),(27,1),(29,1)}
        14:{1,3,7}:{(5,1),(7,1),(64,1),(209,1)}
        15:{1,2,4,5}:{(6,1),(8,1),(22,1),(27,1),(29,1),(32,1),(58,1),(70,1),(73,1),(108,1)}
        16:{1,2,5,7}:{(6,1),(7,1),(9,1),(28,1),(31,1),(204,1),(207,1)}
        17:{3,4,5}:{(8,1),(24,1),(29,1),(32,1)}
        18:{2,4,5,7}:{(8,1),(9,1),(25,1),(33,1),(34,1),(68,1),(187,1),(191,1)}
        19:{2,3,6}:{(9,1),(31,1),(34,1),(76,1),(152,1)}
        20:{2,4,5,6}:{(11,1),(35,1),(36,1),(54,1),(105,1)}
        21:{1,3,5,6}:{(10,1),(13,1),(37,1),(38,1),(39,1),(47,1),(83,1),(99,1),(103,1),(133,1),(134,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(15,1),(37,1),(39,1),(40,1),(42,1),(85,1),(88,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(38,1),(40,1),(41,1),(80,1),(132,1)}
        24:{3,4,6}:{(11,1),(17,1),(35,1),(39,1),(42,1),(43,1)}
        25:{2,4,7}:{(11,1),(12,1),(43,1),(140,1)}
        26:{2,3,6,7}:{(12,1),(19,1),(41,1),(44,1),(81,1),(91,1),(198,1)}
        27:{1,4}:{(13,1),(45,1)}
        28:{1,3,5,7}:{(13,1),(14,1),(16,1),(46,1),(47,1),(50,1),(99,1),(196,1),(197,1),(200,1)}
        29:{3,5}:{(15,1),(39,1),(45,1)}
        30:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(40,1),(46,1),(50,1),(51,1),(52,1),(84,1),(92,1),(97,1),(99,1),(100,1),(132,1),(140,1),(145,1),(146,1),(171,1),(172,1),(177,1),(196,1)}
        31:{1,2,6}:{(16,1),(19,1),(47,1)}
        32:{1,4,5}:{(17,1),(42,1),(48,1)}
        33:{3,4,5,7}:{(17,1),(18,1),(43,1),(50,1),(52,1),(53,1),(94,1),(140,1),(146,1),(173,1),(178,1)}
        34:{2,4,6}:{(18,1),(19,1),(53,1),(54,1)}
        35:{3,5,6}:{(20,1),(24,1),(55,1),(56,1)}
        36:{2,4,5,7}:{(20,1),(25,1),(56,1),(57,1),(68,1),(119,1)}
        37:{1,4,6}:{(21,1),(27,1),(58,1),(59,1),(60,1),(128,1)}
        38:{1,3,5,7}:{(21,1),(23,1),(60,1),(61,1),(64,1),(109,1),(113,1),(117,1)}
        39:{3,6}:{(22,1),(29,1),(64,1)}
        40:{1,2,4,7}:{(22,1),(23,1),(25,1),(60,1),(64,1),(66,1),(111,1),(114,1)}
        41:{1,2,6,7}:{(23,1),(26,1),(31,1),(61,1),(106,1),(152,1),(204,1)}
        42:{1,4,6}:{(24,1),(32,1),(55,1),(62,1),(66,1)}
        43:{3,4,7}:{(24,1),(25,1),(56,1),(64,1),(66,1)}
        44:{2,4,6,7}:{(25,1),(26,1),(34,1),(67,1),(68,1),(183,1),(187,1)}
        45:{3,4}:{(27,1),(29,1),(70,1)}
        46:{1,4,7}:{(27,1),(28,1),(71,1),(72,1),(205,1)}
        47:{1,3,6}:{(28,1),(31,1),(72,1),(76,1),(203,1)}
        48:{1,3,5}:{(29,1),(32,1),(62,1),(69,1),(73,1)}
        49:{2,3,5}:{(29,1),(63,1),(70,1),(73,1),(108,1),(120,1)}
        50:{3,5,7}:{(29,1),(30,1),(64,1),(71,1),(76,1),(124,1),(186,1),(190,1)}
        51:{1,2,4,6}:{(30,1),(31,1),(34,1),(72,1),(76,1),(77,1),(78,1),(110,1),(123,1),(125,1),(128,1),(152,1),(184,1),(203,1)}
        52:{1,4,5,7}:{(32,1),(33,1),(66,1),(74,1),(78,1),(118,1),(157,1),(162,1)}
        53:{3,4,6}:{(33,1),(34,1),(76,1),(78,1),(79,1),(128,1)}
        54:{2,5,6}:{(34,1),(68,1),(79,1)}
        55:{1,5,6}:{(35,1),(42,1),(80,1)}
        56:{3,5,7}:{(35,1),(36,1),(43,1),(80,1),(81,1)}
        57:{2,4,6,7}:{(36,1),(81,1),(82,1),(131,1)}
        58:{1,4,5}:{(37,1),(83,1),(99,1),(146,1)}
        59:{3,4,6}:{(37,1),(39,1),(45,1),(83,1),(85,1),(86,1),(133,1)}
        60:{1,4,7}:{(37,1),(38,1),(86,1),(140,1)}
        61:{1,3,6,7}:{(38,1),(41,1),(47,1),(87,1),(91,1),(133,1),(197,1)}
        62:{1,3,6}:{(39,1),(42,1),(48,1),(88,1),(89,1)}
        63:{2,3,6}:{(39,1),(49,1),(85,1),(88,1),(90,1)}
        64:{3,7}:{(39,1),(40,1)}
        65:{1,2,4,6,7}:{(40,1),(41,1),(44,1),(51,1),(87,1),(91,1),(92,1),(93,1),(135,1),(137,1),(140,1),(172,1)}
        66:{1,4,7}:{(42,1),(43,1),(80,1),(89,1)}
        67:{3,4,6,7}:{(43,1),(44,1),(53,1),(81,1),(91,1),(93,1),(94,1),(131,1),(140,1),(168,1),(173,1)}
        68:{2,5,7}:{(44,1),(54,1),(94,1)}
        69:{1,3,4}:{(45,1),(48,1),(95,1)}
        70:{2,4}:{(45,1),(49,1)}
        71:{3,4,7}:{(45,1),(46,1),(50,1),(97,1),(98,1),(140,1),(199,1)}
        72:{1,4,6}:{(46,1),(47,1),(98,1),(99,1)}
        73:{1,2,5}:{(48,1),(49,1),(88,1),(95,1)}
        74:{1,3,5,7}:{(48,1),(50,1),(52,1),(89,1),(96,1),(100,1),(101,1),(144,1),(196,1)}
        75:{2,3,5,7}:{(49,1),(50,1),(90,1),(97,1),(100,1),(102,1),(132,1),(142,1),(145,1),(176,1)}
        76:{3,6}:{(50,1),(51,1)}
        77:{1,2,5,6}:{(51,1),(54,1),(92,1),(99,1),(103,1),(104,1),(134,1),(145,1),(169,1)}
        78:{1,4,6}:{(52,1),(53,1),(101,1),(104,1)}
        79:{3,5,6}:{(53,1),(54,1),(94,1),(104,1),(105,1)}
        80:{1,5,7}:{(55,1),(56,1),(66,1),(106,1)}
        81:{3,6,7}:{(56,1),(57,1),(106,1)}
        82:{2,5,6,7}:{(57,1),(68,1),(107,1),(183,1)}
        83:{3,5}:{(58,1),(59,1),(108,1)}
        84:{1,4,5,7}:{(58,1),(60,1),(109,1),(110,1),(113,1),(155,1)}
        85:{2,4,6}:{(59,1),(63,1),(70,1),(108,1),(111,1),(152,1)}
        86:{3,4,7}:{(59,1),(60,1),(64,1),(109,1),(111,1)}
        87:{1,4,6,7}:{(60,1),(61,1),(72,1),(110,1),(112,1),(113,1),(188,1),(203,1)}
        88:{1,2,6}:{(62,1),(63,1),(73,1),(114,1)}
        89:{1,3,7}:{(62,1),(64,1),(66,1),(114,1)}
        90:{2,3,7}:{(63,1),(64,1),(111,1),(114,1)}
        91:{3,6,7}:{(64,1),(65,1),(76,1),(117,1),(186,1)}
        92:{1,2,5,7}:{(65,1),(68,1),(77,1),(113,1),(117,1),(118,1),(154,1)}
        93:{1,4,6,7}:{(66,1),(67,1),(78,1),(106,1),(115,1),(118,1),(157,1)}
        94:{3,5,7}:{(67,1),(68,1),(79,1),(118,1),(119,1)}
        95:{1,2,4}:{(69,1),(70,1),(73,1),(120,1)}
        96:{1,3,4,7}:{(69,1),(71,1),(74,1),(121,1),(122,1),(157,1),(186,1),(188,1)}
        97:{2,4,7}:{(70,1),(71,1),(75,1),(123,1),(189,1)}
        98:{3,4,6}:{(71,1),(72,1),(76,1),(123,1),(124,1),(128,1)}
        99:{1,5}:{(72,1),(124,1)}
       100:{1,2,5,7}:{(73,1),(74,1),(75,1),(114,1),(121,1),(125,1),(161,1)}
       101:{1,3,6}:{(74,1),(76,1),(78,1),(125,1),(203,1)}
       102:{2,3,6}:{(75,1),(76,1),(123,1),(125,1),(152,1)}
       103:{3,5,6}:{(76,1),(77,1),(117,1),(124,1),(128,1)}
       104:{1,5,6}:{(78,1),(79,1),(118,1)}
       105:{4,5,6}:{(79,1),(119,1),(128,1)}
       106:{1,6,7}:{(80,1),(81,1)}
       107:{3,5,6,7}:{(81,1),(82,1),(94,1),(130,1),(131,1),(168,1)}
       108:{2,5}:{(83,1),(85,1)}
       109:{3,5,7}:{(83,1),(84,1),(86,1),(132,1),(133,1)}
       110:{1,4,6}:{(84,1),(133,1),(134,1),(170,1)}
       111:{2,4,7}:{(85,1),(86,1),(90,1),(132,1)}
       112:{3,4,6,7}:{(86,1),(87,1),(91,1),(98,1),(133,1),(135,1),(136,1),(140,1),(170,1),(174,1),(195,1)}
       113:{1,5,7}:{(87,1),(99,1),(134,1),(136,1)}
       114:{1,2,7}:{(88,1),(89,1),(90,1)}
       115:{1,3,6,7}:{(89,1),(91,1),(93,1),(101,1),(137,1),(138,1),(168,1)}
       116:{2,3,6,7}:{(90,1),(91,1),(102,1),(135,1),(137,1),(139,1),(195,1)}
       117:{3,5,7}:{(91,1),(92,1),(103,1),(140,1)}
       118:{1,5,7}:{(93,1),(94,1),(104,1)}
       119:{4,5,7}:{(94,1),(105,1),(131,1),(140,1)}
       120:{2,3}:{(95,1)}
       121:{1,2,4,7}:{(95,1),(96,1),(97,1),(100,1),(142,1),(143,1)}
       122:{1,3,4,6}:{(96,1),(98,1),(101,1),(143,1),(144,1),(148,1),(180,1),(182,1),(199,1)}
       123:{2,4,6}:{(97,1),(98,1),(102,1),(145,1)}
       124:{3,5}:{(98,1),(99,1),(145,1),(146,1)}
       125:{1,2,6}:{(100,1),(101,1),(102,1)}
       126:{1,3,5,6}:{(101,1),(103,1),(104,1),(138,1),(144,1),(147,1),(148,1),(150,1),(180,1)}
       127:{2,3,5,6}:{(102,1),(103,1),(139,1),(145,1),(147,1),(149,1),(169,1),(176,1),(179,1),(180,1),(195,1)}
       128:{4,6}:{(103,1),(140,1),(146,1)}
       129:{1,4,5,6}:{(104,1),(105,1),(141,1),(148,1),(150,1)}
       130:{1,5,6,7}:{(106,1),(107,1),(118,1),(151,1)}
       131:{4,6,7}:{(107,1),(119,1)}
       132:{2,5,7}:{(108,1),(109,1),(111,1),(152,1)}
       133:{3,6}:{(109,1),(110,1),(152,1)}
       134:{1,5,6}:{(110,1),(113,1),(153,1),(203,1)}
       135:{2,4,6,7}:{(111,1),(112,1),(116,1),(123,1),(152,1),(154,1),(158,1),(184,1)}
       136:{3,5,7}:{(112,1),(113,1),(124,1),(153,1),(154,1),(155,1)}
       137:{1,2,6,7}:{(114,1),(115,1),(116,1),(125,1),(156,1),(183,1),(203,1)}
       138:{1,3,5,7}:{(115,1),(117,1),(118,1),(126,1),(156,1),(157,1),(159,1),(186,1)}
       139:{2,3,5,7}:{(116,1),(117,1),(127,1),(154,1),(156,1),(158,1),(185,1),(186,1)}
       140:{4,7}:{(117,1),(128,1)}
       141:{1,4,5,7}:{(118,1),(119,1),(129,1),(151,1),(157,1),(159,1)}
       142:{2,3,7}:{(120,1),(121,1),(160,1),(186,1)}
       143:{1,2,4,6}:{(121,1),(122,1),(123,1),(125,1),(160,1),(161,1),(189,1)}
       144:{1,3,5}:{(122,1),(124,1),(161,1),(162,1),(190,1),(192,1)}
       145:{2,5}:{(123,1),(124,1)}
       146:{4,5}:{(124,1),(128,1)}
       147:{1,2,5,6}:{(125,1),(126,1),(127,1),(156,1),(161,1),(164,1),(167,1),(192,1),(203,1)}
       148:{1,4,6}:{(126,1),(128,1),(157,1),(162,1),(165,1)}
       149:{2,4,6}:{(127,1),(128,1),(158,1),(163,1),(166,1),(189,1)}
       150:{3,5,6}:{(129,1),(159,1),(165,1),(167,1)}
       151:{1,4,6,7}:{(130,1),(131,1),(141,1),(168,1)}
       152:{2,6}:{(132,1),(133,1)}
       153:{3,5,6}:{(133,1),(134,1),(136,1),(169,1),(170,1),(195,1)}
       154:{2,5,7}:{(135,1),(136,1),(145,1),(169,1)}
       155:{4,5,7}:{(136,1),(140,1),(146,1),(170,1)}
       156:{1,2,5,7}:{(137,1),(138,1),(139,1),(147,1),(172,1),(175,1),(196,1)}
       157:{1,4,7}:{(138,1),(140,1),(148,1),(173,1)}
       158:{2,4,7}:{(139,1),(140,1),(149,1),(174,1)}
       159:{3,5,7}:{(141,1),(150,1),(168,1),(173,1),(175,1)}
       160:{2,3,6}:{(142,1),(143,1),(176,1),(180,1)}
       161:{1,2,5}:{(143,1),(144,1),(145,1),(176,1)}
       162:{1,4,5}:{(144,1),(146,1),(148,1),(178,1)}
       163:{2,4,5}:{(145,1),(146,1),(149,1),(179,1)}
       164:{1,2,4,6}:{(147,1),(148,1),(149,1),(172,1),(177,1),(180,1),(181,1),(182,1),(202,1)}
       165:{3,4,6}:{(148,1),(150,1),(173,1),(178,1),(180,1),(181,1)}
       166:{3,4,6}:{(149,1),(174,1),(179,1),(180,1),(182,1),(195,1),(199,1)}
       167:{2,5,6}:{(150,1),(175,1),(181,1)}
       168:{3,6,7}:{(151,1),(159,1),(183,1)}
       169:{2,5,6}:{(152,1),(153,1),(154,1),(184,1)}
       170:{4,6}:{(153,1),(155,1)}
       171:{2,4,5,7}:{(154,1),(155,1),(158,1),(163,1),(184,1),(185,1)}
       172:{1,2,4,7}:{(156,1),(157,1),(158,1),(164,1),(186,1),(187,1),(188,1),(204,1)}
       173:{3,4,7}:{(157,1),(159,1),(165,1),(186,1),(187,1)}
       174:{3,4,7}:{(158,1),(166,1),(185,1),(186,1),(188,1)}
       175:{2,5,7}:{(159,1),(167,1),(183,1),(187,1)}
       176:{2,3,5}:{(160,1),(161,1),(189,1),(190,1)}
       177:{1,2,4,5}:{(161,1),(162,1),(163,1),(164,1),(189,1),(190,1),(191,1),(192,1),(205,1),(207,1)}
       178:{3,4,5}:{(162,1),(165,1),(190,1),(191,1)}
       179:{3,5}:{(163,1),(166,1),(192,1)}
       180:{3,6}:{(164,1),(186,1),(190,1)}
       181:{2,4,6}:{(165,1),(167,1),(187,1),(191,1),(194,1)}
       182:{1,4,6}:{(166,1),(188,1),(192,1),(193,1),(203,1),(205,1)}
       183:{2,6,7}:{(168,1),(175,1)}
       184:{2,4,6}:{(169,1),(170,1),(171,1),(195,1)}
       185:{3,5,7}:{(171,1),(174,1),(179,1),(195,1),(196,1)}
       186:{3,7}:{(172,1),(180,1)}
       187:{2,4,7}:{(173,1),(175,1),(181,1),(198,1)}
       188:{1,4,7}:{(174,1),(182,1),(196,1),(197,1)}
       189:{2,4}:{(176,1),(199,1)}
       190:{3,5}:{(177,1),(180,1),(199,1)}
       191:{2,4,5}:{(178,1),(181,1),(201,1)}
       192:{1,5}:{(179,1),(182,1)}
       193:{1,3,6}:{(180,1),(182,1),(197,1),(200,1),(202,1)}
       194:{2,3,6}:{(180,1),(181,1),(198,1),(201,1),(202,1)}
       195:{3,6}:{(184,1),(185,1),(203,1)}
       196:{1,5,7}:{(185,1),(188,1),(192,1),(203,1)}
       197:{1,3,7}:{(186,1),(188,1),(193,1),(204,1)}
       198:{2,3,7}:{(186,1),(187,1),(194,1),(204,1)}
       199:{3,4}:{(189,1),(190,1),(205,1)}
       200:{1,3,5}:{(190,1),(192,1),(193,1),(205,1),(207,1),(209,1)}
       201:{2,3,5}:{(190,1),(191,1),(194,1),(206,1),(207,1)}
       202:{1,2,6}:{(193,1),(194,1),(204,1),(207,1)}
       203:{1,6}:{(195,1),(196,1)}
       204:{1,2,7}:{(197,1),(198,1),(202,1)}
       205:{1,4}:{(199,1),(200,1)}
       206:{2,3,4}:{(199,1),(201,1),(208,1)}
       207:{1,2,5}:{(200,1),(201,1),(202,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{1,3}:{(208,1)}

 329 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(52,1),(67,1),(127,1),(179,1),(197,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(7,1),(29,1),(35,1),(45,1),(98,1),(136,1),(143,1),(146,1),(147,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(12,1),(29,1),(184,1),(191,1),(195,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(37,1),(205,1)}
         4:{2,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(42,1),(81,1),(97,1),(100,1),(156,1)}
         5:{1,4,5,7}:{(1,1),(13,1),(15,1),(56,1),(71,1),(105,1),(111,1),(130,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(16,1),(25,1),(58,1),(67,1),(163,1),(171,1)}
         7:{3,4,6}:{(1,1),(15,1),(16,1),(18,1),(53,1),(116,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(19,1),(20,1),(24,1),(198,1),(203,1)}
         9:{2,3,6}:{(2,1),(16,1),(20,1),(53,1),(204,1)}
        10:{1,3,7}:{(3,1),(23,1),(127,1),(208,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(20,1),(23,1),(24,1),(62,1),(69,1)}
        12:{2,3,5}:{(4,1),(24,1),(25,1),(70,1),(114,1),(178,1)}
        13:{1,3,5,7}:{(5,1),(26,1),(27,1),(28,1),(29,1),(74,1),(101,1),(157,1),(207,1)}
        14:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(27,1),(29,1),(30,1),(37,1),(44,1),(75,1),(84,1),(93,1),(96,1),(135,1),(138,1),(141,1),(146,1),(147,1),(153,1),(186,1),(195,1),(207,1)}
        15:{1,4,6}:{(5,1),(7,1),(28,1),(32,1)}
        16:{2,4,6}:{(6,1),(7,1),(9,1),(34,1)}
        17:{3,4,6,7}:{(7,1),(31,1),(33,1),(35,1),(82,1),(91,1),(98,1),(143,1),(147,1),(148,1),(150,1)}
        18:{3,5,6}:{(7,1),(32,1),(34,1),(35,1),(36,1)}
        19:{1,3,5,7}:{(8,1),(10,1),(29,1),(37,1),(38,1),(43,1),(93,1),(183,1),(190,1),(207,1)}
        20:{1,2,6}:{(8,1),(9,1),(38,1)}
        21:{2,3,6,7}:{(9,1),(33,1),(39,1),(41,1),(82,1),(150,1),(191,1)}
        22:{2,3,5,6}:{(9,1),(12,1),(34,1),(40,1),(41,1),(42,1),(83,1),(90,1),(97,1)}
        23:{1,3,6}:{(10,1),(11,1),(43,1),(97,1)}
        24:{1,2,5}:{(11,1),(12,1),(43,1),(93,1)}
        25:{2,4,5}:{(12,1),(42,1),(45,1),(146,1)}
        26:{1,3,4,7}:{(13,1),(46,1),(47,1),(52,1),(111,1),(131,1),(168,1),(202,1)}
        27:{1,2,5,7}:{(13,1),(46,1),(48,1),(49,1),(104,1),(133,1),(180,1)}
        28:{1,3,6}:{(13,1),(15,1),(49,1),(53,1),(209,1)}
        29:{3,5,7}:{(14,1),(52,1),(53,1),(70,1),(114,1),(127,1),(162,1),(168,1)}
        30:{1,2,4,6}:{(14,1),(15,1),(16,1),(20,1),(49,1),(53,1),(55,1),(62,1),(106,1),(116,1),(176,1),(199,1),(204,1),(209,1)}
        31:{1,4,6,7}:{(15,1),(17,1),(50,1),(56,1),(111,1),(130,1),(175,1)}
        32:{1,5,6}:{(15,1),(18,1),(56,1)}
        33:{2,4,6,7}:{(16,1),(17,1),(21,1),(58,1),(67,1),(171,1),(174,1)}
        34:{2,5,6}:{(16,1),(18,1),(58,1)}
        35:{3,5,7}:{(17,1),(18,1),(56,1),(58,1),(61,1)}
        36:{4,5,6}:{(18,1),(61,1),(116,1)}
        37:{1,4,7}:{(19,1),(52,1),(62,1),(69,1),(196,1)}
        38:{1,3,6}:{(19,1),(20,1),(53,1),(62,1),(209,1)}
        39:{1,2,6,7}:{(20,1),(21,1),(63,1),(65,1),(175,1),(203,1),(204,1)}
        40:{1,2,5,6}:{(20,1),(22,1),(24,1),(64,1),(65,1),(66,1),(122,1),(178,1),(204,1)}
        41:{2,3,5,7}:{(21,1),(22,1),(58,1),(65,1),(67,1),(115,1),(121,1),(127,1)}
        42:{2,4,6}:{(22,1),(25,1),(67,1),(68,1),(116,1)}
        43:{1,3,5}:{(23,1),(24,1),(69,1),(70,1)}
        44:{1,2,4,5}:{(24,1),(25,1),(66,1),(69,1),(70,1),(71,1),(124,1),(132,1),(133,1),(178,1)}
        45:{3,4,5}:{(25,1),(68,1),(70,1),(71,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(72,1),(73,1),(75,1),(160,1)}
        47:{1,3,4,6}:{(26,1),(28,1),(73,1),(74,1),(80,1),(81,1),(142,1),(182,1),(189,1)}
        48:{2,3,5,7}:{(27,1),(29,1),(72,1),(75,1),(76,1),(102,1),(134,1),(138,1),(158,1),(195,1)}
        49:{1,2,6}:{(27,1),(28,1),(76,1)}
        50:{1,3,6,7}:{(28,1),(31,1),(77,1),(79,1),(82,1),(148,1),(157,1)}
        51:{1,3,5,6}:{(28,1),(32,1),(74,1),(78,1),(79,1),(80,1),(83,1),(87,1),(142,1)}
        52:{3,4,7}:{(29,1),(37,1),(75,1),(81,1),(100,1),(147,1),(182,1)}
        53:{3,6}:{(29,1),(30,1)}
        54:{1,2,4,6,7}:{(30,1),(31,1),(33,1),(39,1),(77,1),(82,1),(84,1),(92,1),(96,1),(137,1),(141,1),(147,1)}
        55:{1,2,5,6}:{(30,1),(32,1),(34,1),(83,1),(84,1),(93,1),(138,1),(152,1),(185,1)}
        56:{1,5,7}:{(31,1),(32,1),(35,1)}
        57:{1,4,5,6}:{(32,1),(36,1),(80,1),(86,1),(87,1)}
        58:{2,5,7}:{(33,1),(34,1),(35,1)}
        59:{2,4,5,6}:{(34,1),(36,1),(42,1),(89,1),(90,1)}
        60:{3,5,6,7}:{(35,1),(85,1),(88,1),(91,1),(148,1),(150,1)}
        61:{4,5,7}:{(35,1),(36,1),(91,1),(147,1)}
        62:{1,4,6}:{(37,1),(38,1),(81,1),(93,1)}
        63:{1,3,6,7}:{(38,1),(39,1),(82,1),(92,1),(94,1),(190,1),(194,1)}
        64:{1,3,5,6}:{(38,1),(40,1),(43,1),(83,1),(93,1),(94,1),(95,1),(97,1),(152,1),(154,1),(194,1)}
        65:{1,2,5,7}:{(39,1),(40,1),(41,1),(94,1),(96,1),(151,1),(195,1)}
        66:{1,2,4,6}:{(40,1),(42,1),(44,1),(95,1),(96,1),(97,1),(99,1),(156,1),(159,1)}
        67:{2,4,7}:{(41,1),(42,1),(98,1),(147,1)}
        68:{3,4,6}:{(42,1),(45,1),(90,1),(97,1),(98,1),(99,1)}
        69:{1,4}:{(43,1),(100,1)}
        70:{3,5}:{(44,1),(97,1),(100,1)}
        71:{1,4,5}:{(45,1),(99,1),(101,1)}
        72:{2,3,7}:{(46,1),(103,1),(168,1),(181,1)}
        73:{1,2,4,6}:{(46,1),(47,1),(49,1),(103,1),(104,1),(106,1),(161,1)}
        74:{1,3,5}:{(47,1),(104,1),(105,1),(114,1),(162,1),(201,1)}
        75:{2,4,7}:{(48,1),(52,1),(106,1),(132,1),(161,1)}
        76:{2,3,6}:{(48,1),(49,1),(53,1),(106,1),(204,1)}
        77:{1,2,6,7}:{(49,1),(50,1),(107,1),(109,1),(174,1),(180,1),(209,1)}
        78:{1,2,5,6}:{(49,1),(51,1),(104,1),(108,1),(109,1),(110,1),(119,1),(201,1),(209,1)}
        79:{1,3,5,7}:{(50,1),(51,1),(56,1),(109,1),(111,1),(115,1),(118,1),(168,1)}
        80:{1,4,6}:{(51,1),(105,1),(111,1),(112,1),(116,1)}
        81:{3,4,6}:{(52,1),(53,1),(62,1),(106,1),(114,1),(116,1)}
        82:{3,6,7}:{(53,1),(54,1),(115,1),(127,1),(168,1)}
        83:{3,5,6}:{(53,1),(55,1),(114,1),(115,1),(116,1)}
        84:{1,2,5,7}:{(54,1),(55,1),(56,1),(58,1),(115,1),(123,1),(164,1)}
        85:{1,5,6,7}:{(56,1),(60,1),(117,1),(175,1)}
        86:{1,4,5,7}:{(56,1),(57,1),(61,1),(111,1),(117,1),(118,1)}
        87:{3,5,6}:{(57,1),(112,1),(118,1),(119,1)}
        88:{2,5,6,7}:{(58,1),(60,1),(120,1),(174,1)}
        89:{2,4,5,7}:{(58,1),(59,1),(61,1),(67,1),(120,1),(121,1)}
        90:{3,5,6}:{(59,1),(68,1),(121,1),(122,1)}
        91:{4,6,7}:{(60,1),(61,1)}
        92:{1,4,6,7}:{(62,1),(63,1),(113,1),(123,1),(125,1),(176,1),(202,1),(209,1)}
        93:{1,5}:{(62,1),(114,1)}
        94:{1,3,5,7}:{(63,1),(64,1),(65,1),(115,1),(123,1),(125,1),(127,1),(177,1)}
        95:{1,4,6}:{(64,1),(69,1),(116,1),(124,1),(125,1),(126,1)}
        96:{1,2,4,7}:{(65,1),(66,1),(67,1),(125,1),(127,1),(130,1),(179,1),(180,1)}
        97:{3,6}:{(66,1),(70,1),(127,1)}
        98:{3,4,7}:{(67,1),(68,1),(121,1),(127,1),(130,1)}
        99:{1,4,6}:{(68,1),(71,1),(122,1),(128,1),(130,1)}
       100:{3,4}:{(69,1),(70,1),(132,1)}
       101:{1,3,5}:{(70,1),(71,1),(128,1),(131,1),(133,1)}
       102:{2,3,5}:{(70,1),(129,1),(132,1),(133,1),(178,1),(181,1)}
       103:{2,3,6}:{(72,1),(73,1),(134,1),(142,1)}
       104:{1,2,5}:{(73,1),(74,1),(134,1),(138,1)}
       105:{1,4,5}:{(74,1),(80,1),(136,1),(146,1)}
       106:{2,4,6}:{(75,1),(76,1),(81,1),(138,1)}
       107:{2,3,6,7}:{(76,1),(77,1),(82,1),(137,1),(139,1),(158,1),(206,1)}
       108:{2,3,5,6}:{(76,1),(78,1),(83,1),(134,1),(138,1),(139,1),(140,1),(142,1),(185,1),(187,1),(206,1)}
       109:{1,2,5,7}:{(77,1),(78,1),(79,1),(139,1),(141,1),(149,1),(207,1)}
       110:{1,2,4,6}:{(78,1),(80,1),(135,1),(140,1),(141,1),(142,1),(144,1),(189,1),(192,1)}
       111:{1,4,7}:{(79,1),(80,1),(143,1),(147,1)}
       112:{3,4,6}:{(80,1),(87,1),(136,1),(142,1),(143,1),(144,1)}
       113:{3,4,6,7}:{(81,1),(82,1),(92,1),(137,1),(145,1),(147,1),(155,1),(188,1),(193,1),(194,1),(206,1)}
       114:{3,5}:{(81,1),(93,1),(138,1),(146,1)}
       115:{3,5,7}:{(82,1),(83,1),(84,1),(147,1)}
       116:{4,6}:{(83,1),(146,1),(147,1)}
       117:{1,4,6,7}:{(85,1),(86,1),(91,1),(148,1)}
       118:{3,5,7}:{(86,1),(87,1),(143,1),(148,1),(149,1)}
       119:{2,5,6}:{(87,1),(144,1),(149,1)}
       120:{2,4,6,7}:{(88,1),(89,1),(91,1),(150,1)}
       121:{3,5,7}:{(89,1),(90,1),(98,1),(150,1),(151,1)}
       122:{1,5,6}:{(90,1),(99,1),(151,1)}
       123:{1,5,7}:{(92,1),(93,1),(145,1),(152,1)}
       124:{1,4,5}:{(93,1),(95,1),(146,1),(154,1)}
       125:{1,4,7}:{(94,1),(95,1),(147,1),(155,1)}
       126:{3,4,6}:{(95,1),(97,1),(100,1),(154,1),(155,1),(156,1),(194,1)}
       127:{3,7}:{(96,1),(97,1)}
       128:{1,3,6}:{(97,1),(99,1),(101,1),(157,1),(159,1)}
       129:{2,3,6}:{(97,1),(102,1),(156,1),(158,1),(159,1)}
       130:{1,4,7}:{(98,1),(99,1),(151,1),(157,1)}
       131:{1,3,4}:{(100,1),(101,1),(160,1)}
       132:{2,4}:{(100,1),(102,1)}
       133:{1,2,5}:{(101,1),(102,1),(159,1),(160,1)}
       134:{2,3,5}:{(103,1),(104,1),(161,1),(162,1)}
       135:{1,2,4,5}:{(104,1),(105,1),(110,1),(161,1),(162,1),(163,1),(165,1),(196,1),(198,1),(201,1)}
       136:{3,4,5}:{(105,1),(112,1),(162,1),(163,1)}
       137:{2,4,6,7}:{(106,1),(107,1),(113,1),(164,1),(166,1),(179,1),(199,1),(204,1)}
       138:{2,5}:{(106,1),(114,1)}
       139:{2,3,5,7}:{(107,1),(108,1),(109,1),(115,1),(164,1),(166,1),(168,1),(200,1)}
       140:{2,4,6}:{(108,1),(116,1),(161,1),(165,1),(166,1),(167,1)}
       141:{1,2,4,7}:{(109,1),(110,1),(111,1),(166,1),(168,1),(171,1),(202,1),(203,1)}
       142:{3,6}:{(110,1),(162,1),(168,1)}
       143:{3,4,7}:{(111,1),(112,1),(118,1),(168,1),(171,1)}
       144:{2,4,6}:{(112,1),(119,1),(163,1),(170,1),(171,1)}
       145:{3,5,7}:{(113,1),(114,1),(123,1),(164,1),(172,1),(173,1)}
       146:{4,5}:{(114,1),(116,1)}
       147:{4,7}:{(115,1),(116,1)}
       148:{3,6,7}:{(117,1),(118,1),(174,1)}
       149:{2,5,7}:{(118,1),(119,1),(171,1),(174,1)}
       150:{3,6,7}:{(120,1),(121,1),(175,1)}
       151:{1,5,7}:{(121,1),(122,1),(130,1),(175,1)}
       152:{1,5,6}:{(123,1),(172,1),(176,1),(209,1)}
       153:{1,4,5,7}:{(123,1),(124,1),(125,1),(173,1),(176,1),(177,1)}
       154:{3,5}:{(124,1),(126,1),(178,1)}
       155:{3,4,7}:{(125,1),(126,1),(127,1),(177,1),(179,1)}
       156:{2,4,6}:{(126,1),(129,1),(132,1),(178,1),(179,1),(204,1)}
       157:{1,3,7}:{(127,1),(128,1),(130,1),(180,1)}
       158:{2,3,7}:{(127,1),(129,1),(179,1),(180,1)}
       159:{1,2,6}:{(128,1),(129,1),(133,1),(180,1)}
       160:{1,2,4}:{(131,1),(132,1),(133,1),(181,1)}
       161:{2,4}:{(134,1),(182,1)}
       162:{3,5}:{(135,1),(142,1),(182,1)}
       163:{2,4,5}:{(136,1),(144,1),(184,1)}
       164:{2,5,7}:{(137,1),(138,1),(145,1),(185,1)}
       165:{2,4,5}:{(138,1),(140,1),(146,1),(187,1)}
       166:{2,4,7}:{(139,1),(140,1),(147,1),(188,1)}
       167:{3,4,6}:{(140,1),(142,1),(182,1),(187,1),(188,1),(189,1),(206,1)}
       168:{3,7}:{(141,1),(142,1)}
       169:{1,3,6}:{(142,1),(183,1),(189,1),(190,1),(192,1)}
       170:{2,3,6}:{(142,1),(144,1),(184,1),(191,1),(192,1)}
       171:{2,4,7}:{(143,1),(144,1),(149,1),(191,1)}
       172:{3,5,6}:{(145,1),(152,1),(185,1),(193,1),(194,1),(206,1)}
       173:{4,5,7}:{(145,1),(146,1),(147,1),(193,1)}
       174:{2,6,7}:{(148,1),(149,1)}
       175:{1,6,7}:{(150,1),(151,1)}
       176:{1,4,6}:{(152,1),(153,1),(193,1),(194,1)}
       177:{3,5,7}:{(153,1),(154,1),(155,1),(194,1),(195,1)}
       178:{2,5}:{(154,1),(156,1)}
       179:{2,4,7}:{(155,1),(156,1),(158,1),(195,1)}
       180:{1,2,7}:{(157,1),(158,1),(159,1)}
       181:{2,3}:{(160,1)}
       182:{3,4}:{(161,1),(162,1),(196,1)}
       183:{1,3,5}:{(162,1),(169,1),(196,1),(198,1),(201,1),(208,1)}
       184:{2,3,5}:{(162,1),(163,1),(170,1),(197,1),(198,1)}
       185:{2,5,6}:{(164,1),(172,1),(199,1),(204,1)}
       186:{2,4,5,7}:{(164,1),(165,1),(166,1),(173,1),(199,1),(200,1)}
       187:{3,5}:{(165,1),(167,1),(201,1)}
       188:{3,4,7}:{(166,1),(167,1),(168,1),(200,1),(202,1)}
       189:{1,4,6}:{(167,1),(169,1),(196,1),(201,1),(202,1),(209,1)}
       190:{1,3,7}:{(168,1),(169,1),(202,1),(203,1)}
       191:{2,3,7}:{(168,1),(170,1),(171,1),(203,1)}
       192:{1,2,6}:{(169,1),(170,1),(198,1),(203,1)}
       193:{4,6}:{(172,1),(173,1)}
       194:{3,6}:{(176,1),(177,1),(204,1)}
       195:{2,5,7}:{(177,1),(178,1),(179,1),(204,1)}
       196:{1,4}:{(182,1),(183,1)}
       197:{2,3,4}:{(182,1),(184,1),(205,1)}
       198:{1,2,5}:{(183,1),(184,1),(192,1),(205,1)}
       199:{2,4,6}:{(185,1),(186,1),(193,1),(206,1)}
       200:{3,5,7}:{(186,1),(187,1),(188,1),(206,1),(207,1)}
       201:{1,5}:{(187,1),(189,1)}
       202:{1,4,7}:{(188,1),(189,1),(190,1),(207,1)}
       203:{1,2,7}:{(190,1),(191,1),(192,1)}
       204:{2,6}:{(194,1),(195,1)}
       205:{1,2,4}:{(196,1),(197,1),(198,1),(208,1)}
       206:{3,6}:{(199,1),(200,1),(209,1)}
       207:{1,5,7}:{(200,1),(201,1),(202,1),(209,1)}
       208:{1,3}:{(205,1)}
       209:{1,6}:{(206,1),(207,1)}

 330 :  0:{2,3,4}:{(2,1),(3,1),(46,1)}
        1:{3,4,5}:{(5,1),(6,1),(7,1),(31,1),(71,1)}
        2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1),(31,1)}
        3:{1,2,4}:{(0,1),(9,1),(10,1),(34,1)}
        4:{4,5,6}:{(12,1),(13,1),(63,1),(83,1)}
        5:{3,4,6}:{(1,1),(12,1),(14,1),(15,1),(16,1),(44,1),(63,1)}
        6:{1,4,5}:{(1,1),(11,1),(14,1)}
        7:{2,4,5}:{(1,1),(2,1),(15,1)}
        8:{2,3,6}:{(2,1),(15,1),(18,1),(19,1),(44,1)}
        9:{1,2,5}:{(2,1),(3,1),(18,1),(20,1)}
       10:{1,3}:{(3,1)}
       11:{1,3,5}:{(6,1),(21,1),(22,1),(23,1),(31,1)}
       12:{3,5,6}:{(4,1),(5,1),(24,1),(25,1),(26,1)}
       13:{4,5,7}:{(4,1),(26,1),(27,1),(72,1),(82,1)}
       14:{1,4,6}:{(5,1),(6,1),(22,1),(24,1),(29,1)}
       15:{2,4,6}:{(5,1),(7,1),(8,1),(25,1),(30,1)}
       16:{3,4,7}:{(5,1),(26,1),(29,1),(30,1),(58,1),(72,1)}
       17:{1,2,4,5}:{(6,1),(7,1),(9,1),(23,1),(28,1),(31,1),(34,1),(52,1),(59,1),(69,1),(71,1)}
       18:{1,2,6}:{(8,1),(9,1),(32,1),(33,1)}
       19:{2,3,7}:{(8,1),(30,1),(33,1),(58,1)}
       20:{1,3,5}:{(9,1),(10,1),(31,1),(32,1),(34,1),(59,1)}
       21:{1,3,4}:{(11,1),(35,1),(46,1)}
       22:{1,3,6}:{(11,1),(14,1),(36,1),(37,1),(44,1)}
       23:{1,2,5}:{(11,1),(35,1),(36,1),(38,1)}
       24:{1,5,6}:{(12,1),(14,1),(40,1)}
       25:{2,5,6}:{(12,1),(15,1),(41,1)}
       26:{3,5,7}:{(12,1),(13,1),(16,1),(40,1),(41,1),(42,1)}
       27:{4,6,7}:{(13,1),(42,1),(43,1)}
       28:{1,2,4,6}:{(14,1),(15,1),(17,1),(18,1),(36,1),(39,1),(44,1),(45,1),(47,1),(61,1),(63,1)}
       29:{1,4,7}:{(14,1),(16,1),(37,1),(40,1)}
       30:{2,4,7}:{(15,1),(16,1),(19,1),(41,1)}
       31:{3,5}:{(17,1),(44,1),(46,1)}
       32:{1,3,6}:{(18,1),(20,1),(44,1),(47,1),(48,1)}
       33:{1,2,7}:{(18,1),(19,1),(48,1)}
       34:{1,4}:{(20,1),(46,1)}
       35:{1,2,4}:{(21,1),(23,1),(49,1),(52,1)}
       36:{1,2,6}:{(22,1),(23,1),(50,1),(51,1)}
       37:{1,3,7}:{(22,1),(29,1),(51,1),(58,1)}
       38:{2,3,5}:{(23,1),(31,1),(49,1),(50,1),(52,1),(69,1)}
       39:{1,2,5,6}:{(24,1),(25,1),(28,1),(53,1),(54,1),(59,1),(69,1),(75,1),(80,1)}
       40:{1,5,7}:{(24,1),(26,1),(29,1),(55,1)}
       41:{2,5,7}:{(25,1),(26,1),(30,1),(56,1)}
       42:{3,6,7}:{(26,1),(27,1),(55,1),(56,1)}
       43:{5,6,7}:{(27,1),(82,1)}
       44:{3,6}:{(28,1),(31,1),(58,1)}
       45:{1,2,4,7}:{(28,1),(29,1),(30,1),(33,1),(51,1),(54,1),(58,1),(60,1),(70,1),(72,1)}
       46:{3,4}:{(31,1),(34,1),(52,1)}
       47:{1,4,6}:{(32,1),(34,1),(57,1),(59,1),(60,1),(75,1)}
       48:{1,3,7}:{(32,1),(33,1),(58,1),(60,1)}
       49:{2,3}:{(35,1)}
       50:{2,3,6}:{(36,1),(38,1),(44,1),(61,1),(62,1)}
       51:{1,2,7}:{(36,1),(37,1),(62,1)}
       52:{2,4}:{(38,1),(46,1)}
       53:{3,5,6}:{(39,1),(44,1),(63,1),(64,1),(66,1),(79,1),(83,1)}
       54:{1,2,5,7}:{(39,1),(40,1),(41,1),(45,1),(64,1),(65,1),(68,1),(76,1)}
       55:{1,6,7}:{(40,1),(42,1)}
       56:{2,6,7}:{(41,1),(42,1)}
       57:{3,4,6}:{(44,1),(46,1),(47,1),(61,1),(63,1),(66,1),(67,1),(79,1)}
       58:{3,7}:{(44,1),(45,1)}
       59:{1,5}:{(47,1),(66,1)}
       60:{1,4,7}:{(47,1),(48,1),(67,1),(68,1)}
       61:{2,4,6}:{(50,1),(52,1),(57,1),(69,1),(70,1),(80,1)}
       62:{2,3,7}:{(50,1),(51,1),(58,1),(70,1)}
       63:{4,6}:{(53,1),(71,1),(72,1)}
       64:{3,5,7}:{(53,1),(54,1),(58,1),(72,1),(73,1),(82,1)}
       65:{1,2,6,7}:{(54,1),(55,1),(56,1),(73,1),(75,1),(80,1)}
       66:{3,5}:{(57,1),(59,1),(69,1),(71,1)}
       67:{3,4,7}:{(57,1),(58,1),(60,1),(70,1),(72,1),(74,1)}
       68:{1,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{2,5}:{(61,1),(66,1)}
       70:{2,4,7}:{(61,1),(62,1),(67,1),(76,1)}
       71:{4,5}:{(63,1),(66,1)}
       72:{4,7}:{(63,1),(64,1)}
       73:{3,6,7}:{(64,1),(65,1),(78,1),(79,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(77,1),(79,1)}
       75:{1,6}:{(68,1),(79,1)}
       76:{2,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,5,7}:{(71,1),(72,1),(74,1),(81,1),(82,1)}
       78:{4,6,7}:{(72,1),(73,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(81,1)}
       80:{2,6}:{(76,1),(79,1)}
       81:{4,6}:{(77,1),(79,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 331 :  0:{1,2,4,5}:{(1,1),(2,1),(9,1),(10,1),(12,1),(31,1),(33,1),(35,1)}
        1:{3,5}:{(0,1),(3,1),(6,1)}
        2:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(19,1),(20,1),(23,1),(26,1)}
        3:{3,4}:{(1,1),(9,1),(10,1),(29,1)}
        4:{1,3,5}:{(1,1),(9,1),(12,1),(13,1),(29,1),(31,1),(48,1)}
        5:{2,3,5}:{(1,1),(10,1),(12,1),(14,1),(29,1),(33,1),(48,1)}
        6:{3,6}:{(1,1),(2,1),(16,1)}
        7:{1,2,5,6}:{(2,1),(15,1),(17,1),(31,1),(33,1),(51,1),(52,1)}
        8:{1,2,4,7}:{(2,1),(16,1),(17,1),(32,1),(34,1),(37,1),(38,1)}
        9:{1,4}:{(3,1),(4,1),(55,1)}
       10:{2,4}:{(3,1),(5,1),(55,1)}
       11:{3,4,6}:{(3,1),(6,1),(19,1),(20,1),(21,1),(22,1),(26,1),(40,1),(46,1),(55,1),(61,1)}
       12:{1,2,5}:{(4,1),(5,1),(18,1),(23,1)}
       13:{1,3,6}:{(4,1),(6,1),(19,1),(23,1),(24,1),(40,1)}
       14:{2,3,6}:{(5,1),(6,1),(20,1),(23,1),(25,1),(40,1)}
       15:{3,5,6}:{(6,1),(7,1),(21,1),(26,1),(27,1),(46,1),(58,1)}
       16:{3,7}:{(6,1),(8,1)}
       17:{1,2,5,7}:{(7,1),(8,1),(27,1),(28,1),(43,1),(44,1)}
       18:{1,2,4}:{(9,1),(10,1),(12,1),(29,1)}
       19:{1,4,6}:{(9,1),(11,1),(13,1),(31,1),(32,1),(51,1)}
       20:{2,4,6}:{(10,1),(11,1),(14,1),(33,1),(34,1),(52,1)}
       21:{3,5}:{(11,1),(31,1),(33,1),(35,1),(62,1)}
       22:{3,4,7}:{(11,1),(16,1),(32,1),(34,1),(36,1),(38,1),(49,1),(59,1)}
       23:{1,2,6}:{(12,1),(13,1),(14,1),(37,1)}
       24:{1,3,7}:{(13,1),(16,1),(32,1),(37,1),(49,1)}
       25:{2,3,7}:{(14,1),(16,1),(34,1),(37,1),(49,1)}
       26:{4,6}:{(15,1),(35,1),(38,1)}
       27:{3,5,7}:{(15,1),(16,1),(17,1),(38,1),(39,1),(54,1)}
       28:{1,2,6,7}:{(17,1),(39,1),(51,1),(52,1)}
       29:{3}:{(18,1)}
       30:{1,2,4,6}:{(18,1),(19,1),(20,1),(23,1),(40,1),(41,1),(42,1),(55,1),(57,1),(61,1)}
       31:{1,5}:{(19,1),(21,1)}
       32:{1,4,7}:{(19,1),(22,1),(24,1),(43,1)}
       33:{2,5}:{(20,1),(21,1)}
       34:{2,4,7}:{(20,1),(22,1),(25,1),(44,1)}
       35:{4,5}:{(21,1),(26,1),(55,1)}
       36:{3,5,7}:{(21,1),(22,1),(43,1),(44,1),(45,1),(46,1)}
       37:{1,2,7}:{(23,1),(24,1),(25,1)}
       38:{4,7}:{(26,1),(27,1)}
       39:{3,6,7}:{(27,1),(28,1),(46,1),(47,1)}
       40:{3,6}:{(29,1),(30,1),(48,1),(49,1)}
       41:{1,2,5}:{(30,1),(31,1),(33,1),(48,1),(62,1)}
       42:{1,2,4,7}:{(30,1),(32,1),(34,1),(37,1),(49,1),(50,1),(59,1)}
       43:{1,5,7}:{(31,1),(32,1),(36,1),(51,1)}
       44:{2,5,7}:{(33,1),(34,1),(36,1),(52,1)}
       45:{4,5,7}:{(35,1),(36,1),(38,1),(53,1),(54,1),(59,1),(62,1)}
       46:{3,6}:{(36,1),(51,1),(52,1),(53,1)}
       47:{4,6,7}:{(38,1),(39,1),(53,1),(54,1)}
       48:{3,5}:{(40,1),(41,1),(55,1)}
       49:{3,7}:{(40,1),(42,1)}
       50:{1,2,5,7}:{(41,1),(42,1),(43,1),(44,1),(56,1),(57,1)}
       51:{1,6}:{(43,1),(46,1)}
       52:{2,6}:{(44,1),(46,1)}
       53:{4,6}:{(45,1),(46,1),(58,1)}
       54:{5,7}:{(47,1),(58,1)}
       55:{4}:{(48,1)}
       56:{3,5,7}:{(48,1),(49,1),(50,1),(59,1),(60,1),(62,1)}
       57:{1,2,6}:{(50,1),(51,1),(52,1),(60,1)}
       58:{5,6}:{(53,1),(54,1),(62,1)}
       59:{4,7}:{(55,1),(56,1),(61,1)}
       60:{3,6}:{(56,1),(57,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 332 :   0:{3,4,5,7}:{(1,1),(2,1),(3,1),(19,1),(25,1),(81,1),(114,1),(121,1),(129,1),(132,1),(133,1)}
         1:{1,4,5,7}:{(0,1),(5,1),(8,1),(44,1),(84,1),(90,1),(111,1),(159,1)}
         2:{2,4,5,7}:{(0,1),(6,1),(9,1),(46,1),(52,1),(97,1),(143,1),(151,1)}
         3:{3,4,6}:{(0,1),(8,1),(9,1),(11,1),(41,1),(102,1)}
         4:{2,3,4,7}:{(6,1),(12,1),(13,1),(40,1),(97,1),(156,1),(189,1),(199,1)}
         5:{1,3,5,7}:{(1,1),(14,1),(15,1),(16,1),(19,1),(55,1),(139,1),(183,1),(204,1)}
         6:{2,3,5,7}:{(2,1),(4,1),(17,1),(18,1),(19,1),(29,1),(169,1),(176,1),(206,1)}
         7:{1,2,4,5,7}:{(1,1),(2,1),(15,1),(17,1),(19,1),(20,1),(56,1),(62,1),(71,1),(80,1),(113,1),(116,1),(119,1),(124,1),(127,1),(132,1),(133,1),(171,1),(179,1),(204,1),(206,1)}
         8:{1,4,6}:{(1,1),(3,1),(16,1),(22,1)}
         9:{2,4,6}:{(2,1),(3,1),(18,1),(24,1)}
        10:{3,4,6,7}:{(3,1),(21,1),(23,1),(25,1),(69,1),(78,1),(121,1),(129,1),(133,1),(134,1),(136,1)}
        11:{3,5,6}:{(3,1),(22,1),(24,1),(25,1),(26,1)}
        12:{1,2,4,7}:{(4,1),(17,1),(27,1),(28,1),(62,1),(202,1)}
        13:{2,3,4,6}:{(4,1),(18,1),(28,1),(29,1),(67,1),(68,1),(128,1),(138,1),(182,1)}
        14:{1,3,4,7}:{(5,1),(30,1),(31,1),(40,1),(90,1),(148,1),(164,1),(194,1)}
        15:{1,2,5,7}:{(5,1),(30,1),(32,1),(33,1),(83,1),(166,1),(200,1)}
        16:{1,3,6}:{(5,1),(8,1),(33,1),(41,1),(208,1)}
        17:{1,2,5,7}:{(6,1),(12,1),(36,1),(37,1),(51,1),(190,1),(195,1)}
        18:{2,3,6}:{(6,1),(9,1),(37,1),(41,1),(209,1)}
        19:{3,5,7}:{(7,1),(40,1),(41,1),(100,1),(110,1),(142,1),(148,1),(156,1)}
        20:{1,2,4,6}:{(7,1),(8,1),(9,1),(33,1),(37,1),(41,1),(43,1),(85,1),(92,1),(102,1),(191,1),(196,1),(208,1),(209,1)}
        21:{1,4,6,7}:{(8,1),(10,1),(34,1),(44,1),(90,1),(159,1),(163,1)}
        22:{1,5,6}:{(8,1),(11,1),(44,1)}
        23:{2,4,6,7}:{(9,1),(10,1),(38,1),(46,1),(97,1),(151,1),(162,1)}
        24:{2,5,6}:{(9,1),(11,1),(46,1)}
        25:{3,5,7}:{(10,1),(11,1),(44,1),(46,1),(49,1)}
        26:{4,5,6}:{(11,1),(49,1),(102,1)}
        27:{1,3,7}:{(12,1),(50,1),(156,1),(207,1)}
        28:{1,2,4,6}:{(12,1),(13,1),(37,1),(50,1),(51,1),(92,1),(109,1)}
        29:{2,3,5}:{(13,1),(51,1),(52,1),(100,1),(110,1),(198,1)}
        30:{1,2,4,7}:{(14,1),(15,1),(53,1),(54,1),(56,1),(187,1)}
        31:{1,3,4,6}:{(14,1),(16,1),(54,1),(55,1),(61,1),(68,1),(120,1),(167,1),(174,1)}
        32:{2,3,5,7}:{(15,1),(19,1),(53,1),(56,1),(57,1),(112,1),(116,1),(140,1),(184,1),(206,1)}
        33:{1,2,6}:{(15,1),(16,1),(57,1)}
        34:{1,3,6,7}:{(16,1),(21,1),(58,1),(60,1),(69,1),(134,1),(183,1)}
        35:{1,3,5,6}:{(16,1),(22,1),(55,1),(59,1),(60,1),(61,1),(70,1),(74,1),(120,1)}
        36:{1,3,5,7}:{(17,1),(19,1),(27,1),(62,1),(63,1),(79,1),(124,1),(168,1),(175,1),(204,1)}
        37:{1,2,6}:{(17,1),(18,1),(63,1)}
        38:{2,3,6,7}:{(18,1),(23,1),(64,1),(66,1),(69,1),(136,1),(176,1)}
        39:{2,3,5,6}:{(18,1),(24,1),(29,1),(65,1),(66,1),(67,1),(70,1),(77,1),(128,1)}
        40:{3,4,7}:{(19,1),(56,1),(62,1),(68,1),(133,1),(138,1),(167,1)}
        41:{3,6}:{(19,1),(20,1)}
        42:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(58,1),(64,1),(69,1),(71,1),(115,1),(119,1),(123,1),(127,1),(133,1)}
        43:{1,2,5,6}:{(20,1),(22,1),(24,1),(70,1),(71,1),(116,1),(124,1),(170,1),(178,1)}
        44:{1,5,7}:{(21,1),(22,1),(25,1)}
        45:{1,4,5,6}:{(22,1),(26,1),(61,1),(73,1),(74,1)}
        46:{2,5,7}:{(23,1),(24,1),(25,1)}
        47:{2,4,5,6}:{(24,1),(26,1),(67,1),(76,1),(77,1)}
        48:{3,5,6,7}:{(25,1),(72,1),(75,1),(78,1),(134,1),(136,1)}
        49:{4,5,7}:{(25,1),(26,1),(78,1),(133,1)}
        50:{1,3,6}:{(27,1),(28,1),(79,1),(128,1)}
        51:{1,2,5}:{(28,1),(29,1),(79,1),(124,1)}
        52:{2,4,5}:{(29,1),(67,1),(81,1),(132,1)}
        53:{2,3,7}:{(30,1),(82,1),(148,1),(201,1)}
        54:{1,2,4,6}:{(30,1),(31,1),(33,1),(82,1),(83,1),(85,1),(141,1)}
        55:{1,3,5}:{(31,1),(83,1),(84,1),(100,1),(142,1),(193,1)}
        56:{2,4,7}:{(32,1),(40,1),(85,1),(141,1),(165,1)}
        57:{2,3,6}:{(32,1),(33,1),(41,1),(85,1),(209,1)}
        58:{1,2,6,7}:{(33,1),(34,1),(86,1),(88,1),(162,1),(200,1),(208,1)}
        59:{1,2,5,6}:{(33,1),(35,1),(83,1),(87,1),(88,1),(89,1),(105,1),(193,1),(208,1)}
        60:{1,3,5,7}:{(34,1),(35,1),(44,1),(88,1),(90,1),(101,1),(104,1),(148,1)}
        61:{1,4,6}:{(35,1),(84,1),(90,1),(91,1),(102,1)}
        62:{1,4,7}:{(36,1),(40,1),(92,1),(109,1),(188,1)}
        63:{1,3,6}:{(36,1),(37,1),(41,1),(92,1),(208,1)}
        64:{1,2,6,7}:{(37,1),(38,1),(93,1),(95,1),(163,1),(195,1),(209,1)}
        65:{1,2,5,6}:{(37,1),(39,1),(51,1),(94,1),(95,1),(96,1),(108,1),(198,1),(209,1)}
        66:{2,3,5,7}:{(38,1),(39,1),(46,1),(95,1),(97,1),(101,1),(107,1),(156,1)}
        67:{2,4,6}:{(39,1),(52,1),(97,1),(98,1),(102,1)}
        68:{3,4,6}:{(40,1),(41,1),(85,1),(92,1),(100,1),(102,1)}
        69:{3,6,7}:{(41,1),(42,1),(101,1),(148,1),(156,1)}
        70:{3,5,6}:{(41,1),(43,1),(100,1),(101,1),(102,1)}
        71:{1,2,5,7}:{(42,1),(43,1),(44,1),(46,1),(101,1),(144,1),(152,1)}
        72:{1,5,6,7}:{(44,1),(48,1),(103,1),(163,1)}
        73:{1,4,5,7}:{(44,1),(45,1),(49,1),(90,1),(103,1),(104,1)}
        74:{3,5,6}:{(45,1),(91,1),(104,1),(105,1)}
        75:{2,5,6,7}:{(46,1),(48,1),(106,1),(162,1)}
        76:{2,4,5,7}:{(46,1),(47,1),(49,1),(97,1),(106,1),(107,1)}
        77:{3,5,6}:{(47,1),(98,1),(107,1),(108,1)}
        78:{4,6,7}:{(48,1),(49,1)}
        79:{1,3,5}:{(50,1),(51,1),(109,1),(110,1)}
        80:{1,2,4,5}:{(51,1),(52,1),(96,1),(109,1),(110,1),(111,1),(153,1),(165,1),(166,1),(198,1)}
        81:{3,4,5}:{(52,1),(98,1),(110,1),(111,1)}
        82:{2,3,6}:{(53,1),(54,1),(112,1),(120,1)}
        83:{1,2,5}:{(54,1),(55,1),(112,1),(116,1)}
        84:{1,4,5}:{(55,1),(61,1),(114,1),(132,1)}
        85:{2,4,6}:{(56,1),(57,1),(68,1),(116,1)}
        86:{2,3,6,7}:{(57,1),(58,1),(69,1),(115,1),(117,1),(184,1),(203,1)}
        87:{2,3,5,6}:{(57,1),(59,1),(70,1),(112,1),(116,1),(117,1),(118,1),(120,1),(170,1),(172,1),(203,1)}
        88:{1,2,5,7}:{(58,1),(59,1),(60,1),(117,1),(119,1),(135,1),(204,1)}
        89:{1,2,4,6}:{(59,1),(61,1),(113,1),(118,1),(119,1),(120,1),(122,1),(174,1),(177,1)}
        90:{1,4,7}:{(60,1),(61,1),(121,1),(133,1)}
        91:{3,4,6}:{(61,1),(74,1),(114,1),(120,1),(121,1),(122,1)}
        92:{1,4,6}:{(62,1),(63,1),(68,1),(124,1)}
        93:{1,3,6,7}:{(63,1),(64,1),(69,1),(123,1),(125,1),(175,1),(205,1)}
        94:{1,3,5,6}:{(63,1),(65,1),(70,1),(79,1),(124,1),(125,1),(126,1),(128,1),(178,1),(180,1),(205,1)}
        95:{1,2,5,7}:{(64,1),(65,1),(66,1),(125,1),(127,1),(137,1),(206,1)}
        96:{1,2,4,6}:{(65,1),(67,1),(80,1),(126,1),(127,1),(128,1),(130,1),(182,1),(185,1)}
        97:{2,4,7}:{(66,1),(67,1),(129,1),(133,1)}
        98:{3,4,6}:{(67,1),(77,1),(81,1),(128,1),(129,1),(130,1)}
        99:{3,4,6,7}:{(68,1),(69,1),(115,1),(123,1),(131,1),(133,1),(173,1),(181,1),(186,1),(203,1),(205,1)}
       100:{3,5}:{(68,1),(116,1),(124,1),(132,1)}
       101:{3,5,7}:{(69,1),(70,1),(71,1),(133,1)}
       102:{4,6}:{(70,1),(132,1),(133,1)}
       103:{1,4,6,7}:{(72,1),(73,1),(78,1),(134,1)}
       104:{3,5,7}:{(73,1),(74,1),(121,1),(134,1),(135,1)}
       105:{2,5,6}:{(74,1),(122,1),(135,1)}
       106:{2,4,6,7}:{(75,1),(76,1),(78,1),(136,1)}
       107:{3,5,7}:{(76,1),(77,1),(129,1),(136,1),(137,1)}
       108:{1,5,6}:{(77,1),(130,1),(137,1)}
       109:{1,4}:{(79,1),(138,1)}
       110:{3,5}:{(80,1),(128,1),(138,1)}
       111:{1,4,5}:{(81,1),(130,1),(139,1)}
       112:{2,3,5}:{(82,1),(83,1),(141,1),(142,1)}
       113:{1,2,4,5}:{(83,1),(84,1),(89,1),(141,1),(142,1),(143,1),(145,1),(188,1),(190,1),(193,1)}
       114:{3,4,5}:{(84,1),(91,1),(142,1),(143,1)}
       115:{2,4,6,7}:{(85,1),(86,1),(99,1),(144,1),(146,1),(191,1),(199,1),(209,1)}
       116:{2,5}:{(85,1),(100,1)}
       117:{2,3,5,7}:{(86,1),(87,1),(88,1),(101,1),(144,1),(146,1),(148,1),(192,1)}
       118:{2,4,6}:{(87,1),(102,1),(141,1),(145,1),(146,1),(147,1)}
       119:{1,2,4,7}:{(88,1),(89,1),(90,1),(146,1),(148,1),(151,1),(194,1),(195,1)}
       120:{3,6}:{(89,1),(142,1),(148,1)}
       121:{3,4,7}:{(90,1),(91,1),(104,1),(148,1),(151,1)}
       122:{2,4,6}:{(91,1),(105,1),(143,1),(150,1),(151,1)}
       123:{1,4,6,7}:{(92,1),(93,1),(99,1),(152,1),(154,1),(194,1),(196,1),(208,1)}
       124:{1,5}:{(92,1),(100,1)}
       125:{1,3,5,7}:{(93,1),(94,1),(95,1),(101,1),(152,1),(154,1),(156,1),(197,1)}
       126:{1,4,6}:{(94,1),(102,1),(109,1),(153,1),(154,1),(155,1)}
       127:{1,2,4,7}:{(95,1),(96,1),(97,1),(154,1),(156,1),(159,1),(199,1),(200,1)}
       128:{3,6}:{(96,1),(110,1),(156,1)}
       129:{3,4,7}:{(97,1),(98,1),(107,1),(156,1),(159,1)}
       130:{1,4,6}:{(98,1),(108,1),(111,1),(157,1),(159,1)}
       131:{3,5,7}:{(99,1),(100,1),(144,1),(152,1),(160,1),(161,1)}
       132:{4,5}:{(100,1),(102,1)}
       133:{4,7}:{(101,1),(102,1)}
       134:{3,6,7}:{(103,1),(104,1),(162,1)}
       135:{2,5,7}:{(104,1),(105,1),(151,1),(162,1)}
       136:{3,6,7}:{(106,1),(107,1),(163,1)}
       137:{1,5,7}:{(107,1),(108,1),(159,1),(163,1)}
       138:{3,4}:{(109,1),(110,1),(165,1)}
       139:{1,3,5}:{(110,1),(111,1),(157,1),(164,1),(166,1)}
       140:{2,3,5}:{(110,1),(158,1),(165,1),(166,1),(198,1),(201,1)}
       141:{2,4}:{(112,1),(167,1)}
       142:{3,5}:{(113,1),(120,1),(167,1)}
       143:{2,4,5}:{(114,1),(122,1),(169,1)}
       144:{2,5,7}:{(115,1),(116,1),(131,1),(170,1)}
       145:{2,4,5}:{(116,1),(118,1),(132,1),(172,1)}
       146:{2,4,7}:{(117,1),(118,1),(133,1),(173,1)}
       147:{3,4,6}:{(118,1),(120,1),(167,1),(172,1),(173,1),(174,1),(203,1)}
       148:{3,7}:{(119,1),(120,1)}
       149:{1,3,6}:{(120,1),(168,1),(174,1),(175,1),(177,1)}
       150:{2,3,6}:{(120,1),(122,1),(169,1),(176,1),(177,1)}
       151:{2,4,7}:{(121,1),(122,1),(135,1),(176,1)}
       152:{1,5,7}:{(123,1),(124,1),(131,1),(178,1)}
       153:{1,4,5}:{(124,1),(126,1),(132,1),(180,1)}
       154:{1,4,7}:{(125,1),(126,1),(133,1),(181,1)}
       155:{3,4,6}:{(126,1),(128,1),(138,1),(180,1),(181,1),(182,1),(205,1)}
       156:{3,7}:{(127,1),(128,1)}
       157:{1,3,6}:{(128,1),(130,1),(139,1),(183,1),(185,1)}
       158:{2,3,6}:{(128,1),(140,1),(182,1),(184,1),(185,1)}
       159:{1,4,7}:{(129,1),(130,1),(137,1),(183,1)}
       160:{3,5,6}:{(131,1),(170,1),(178,1),(186,1),(203,1),(205,1)}
       161:{4,5,7}:{(131,1),(132,1),(133,1),(186,1)}
       162:{2,6,7}:{(134,1),(135,1)}
       163:{1,6,7}:{(136,1),(137,1)}
       164:{1,3,4}:{(138,1),(139,1),(187,1)}
       165:{2,4}:{(138,1),(140,1)}
       166:{1,2,5}:{(139,1),(140,1),(185,1),(187,1)}
       167:{3,4}:{(141,1),(142,1),(188,1)}
       168:{1,3,5}:{(142,1),(149,1),(188,1),(190,1),(193,1),(207,1)}
       169:{2,3,5}:{(142,1),(143,1),(150,1),(189,1),(190,1)}
       170:{2,5,6}:{(144,1),(160,1),(191,1),(209,1)}
       171:{2,4,5,7}:{(144,1),(145,1),(146,1),(161,1),(191,1),(192,1)}
       172:{3,5}:{(145,1),(147,1),(193,1)}
       173:{3,4,7}:{(146,1),(147,1),(148,1),(192,1),(194,1)}
       174:{1,4,6}:{(147,1),(149,1),(188,1),(193,1),(194,1),(208,1)}
       175:{1,3,7}:{(148,1),(149,1),(194,1),(195,1)}
       176:{2,3,7}:{(148,1),(150,1),(151,1),(195,1)}
       177:{1,2,6}:{(149,1),(150,1),(190,1),(195,1)}
       178:{1,5,6}:{(152,1),(160,1),(196,1),(208,1)}
       179:{1,4,5,7}:{(152,1),(153,1),(154,1),(161,1),(196,1),(197,1)}
       180:{3,5}:{(153,1),(155,1),(198,1)}
       181:{3,4,7}:{(154,1),(155,1),(156,1),(197,1),(199,1)}
       182:{2,4,6}:{(155,1),(158,1),(165,1),(198,1),(199,1),(209,1)}
       183:{1,3,7}:{(156,1),(157,1),(159,1),(200,1)}
       184:{2,3,7}:{(156,1),(158,1),(199,1),(200,1)}
       185:{1,2,6}:{(157,1),(158,1),(166,1),(200,1)}
       186:{4,6}:{(160,1),(161,1)}
       187:{1,2,4}:{(164,1),(165,1),(166,1),(201,1)}
       188:{1,4}:{(167,1),(168,1)}
       189:{2,3,4}:{(167,1),(169,1),(202,1)}
       190:{1,2,5}:{(168,1),(169,1),(177,1),(202,1)}
       191:{2,4,6}:{(170,1),(171,1),(186,1),(203,1)}
       192:{3,5,7}:{(171,1),(172,1),(173,1),(203,1),(204,1)}
       193:{1,5}:{(172,1),(174,1)}
       194:{1,4,7}:{(173,1),(174,1),(175,1),(204,1)}
       195:{1,2,7}:{(175,1),(176,1),(177,1)}
       196:{1,4,6}:{(178,1),(179,1),(186,1),(205,1)}
       197:{3,5,7}:{(179,1),(180,1),(181,1),(205,1),(206,1)}
       198:{2,5}:{(180,1),(182,1)}
       199:{2,4,7}:{(181,1),(182,1),(184,1),(206,1)}
       200:{1,2,7}:{(183,1),(184,1),(185,1)}
       201:{2,3}:{(187,1)}
       202:{1,2,4}:{(188,1),(189,1),(190,1),(207,1)}
       203:{3,6}:{(191,1),(192,1),(208,1)}
       204:{1,5,7}:{(192,1),(193,1),(194,1),(208,1)}
       205:{3,6}:{(196,1),(197,1),(209,1)}
       206:{2,5,7}:{(197,1),(198,1),(199,1),(209,1)}
       207:{1,3}:{(202,1)}
       208:{1,6}:{(203,1),(204,1)}
       209:{2,6}:{(205,1),(206,1)}

 333 :  0:{3,4,5}:{(2,1),(3,1),(4,1),(27,1),(70,1)}
        1:{4,5,6}:{(8,1),(9,1),(61,1),(83,1)}
        2:{3,4,6}:{(0,1),(8,1),(10,1),(11,1),(12,1),(41,1),(61,1)}
        3:{1,4,5}:{(0,1),(6,1),(10,1)}
        4:{2,4,5}:{(0,1),(7,1),(11,1)}
        5:{2,3,4}:{(7,1),(14,1),(43,1)}
        6:{1,3,5}:{(3,1),(15,1),(16,1),(17,1),(27,1)}
        7:{2,3,5}:{(4,1),(5,1),(18,1),(19,1),(27,1)}
        8:{3,5,6}:{(1,1),(2,1),(20,1),(21,1),(22,1)}
        9:{4,5,7}:{(1,1),(22,1),(23,1),(71,1),(82,1)}
       10:{1,4,6}:{(2,1),(3,1),(16,1),(20,1),(25,1)}
       11:{2,4,6}:{(2,1),(4,1),(18,1),(21,1),(26,1)}
       12:{3,4,7}:{(2,1),(22,1),(25,1),(26,1),(56,1),(71,1)}
       13:{1,2,4,5}:{(3,1),(4,1),(17,1),(19,1),(24,1),(27,1),(47,1),(50,1),(66,1),(68,1),(70,1)}
       14:{1,2,4}:{(5,1),(19,1),(28,1),(50,1)}
       15:{1,3,4}:{(6,1),(29,1),(43,1)}
       16:{1,3,6}:{(6,1),(10,1),(30,1),(31,1),(41,1)}
       17:{1,2,5}:{(6,1),(29,1),(30,1),(32,1)}
       18:{2,3,6}:{(7,1),(11,1),(33,1),(34,1),(41,1)}
       19:{1,2,5}:{(7,1),(14,1),(33,1),(35,1)}
       20:{1,5,6}:{(8,1),(10,1),(37,1)}
       21:{2,5,6}:{(8,1),(11,1),(38,1)}
       22:{3,5,7}:{(8,1),(9,1),(12,1),(37,1),(38,1),(39,1)}
       23:{4,6,7}:{(9,1),(39,1),(40,1)}
       24:{1,2,4,6}:{(10,1),(11,1),(13,1),(30,1),(33,1),(36,1),(41,1),(42,1),(57,1),(59,1),(61,1)}
       25:{1,4,7}:{(10,1),(12,1),(31,1),(37,1)}
       26:{2,4,7}:{(11,1),(12,1),(34,1),(38,1)}
       27:{3,5}:{(13,1),(41,1),(43,1)}
       28:{1,3}:{(14,1)}
       29:{1,2,4}:{(15,1),(17,1),(44,1),(47,1)}
       30:{1,2,6}:{(16,1),(17,1),(45,1),(46,1)}
       31:{1,3,7}:{(16,1),(25,1),(46,1),(56,1)}
       32:{2,3,5}:{(17,1),(27,1),(44,1),(45,1),(47,1),(66,1)}
       33:{1,2,6}:{(18,1),(19,1),(48,1),(49,1)}
       34:{2,3,7}:{(18,1),(26,1),(49,1),(56,1)}
       35:{1,3,5}:{(19,1),(27,1),(28,1),(48,1),(50,1),(68,1)}
       36:{1,2,5,6}:{(20,1),(21,1),(24,1),(51,1),(52,1),(66,1),(68,1),(79,1),(80,1)}
       37:{1,5,7}:{(20,1),(22,1),(25,1),(53,1)}
       38:{2,5,7}:{(21,1),(22,1),(26,1),(54,1)}
       39:{3,6,7}:{(22,1),(23,1),(53,1),(54,1)}
       40:{5,6,7}:{(23,1),(82,1)}
       41:{3,6}:{(24,1),(27,1),(56,1)}
       42:{1,2,4,7}:{(24,1),(25,1),(26,1),(46,1),(49,1),(52,1),(56,1),(67,1),(69,1),(71,1)}
       43:{3,4}:{(27,1),(47,1),(50,1)}
       44:{2,3}:{(29,1)}
       45:{2,3,6}:{(30,1),(32,1),(41,1),(57,1),(58,1)}
       46:{1,2,7}:{(30,1),(31,1),(58,1)}
       47:{2,4}:{(32,1),(43,1)}
       48:{1,3,6}:{(33,1),(35,1),(41,1),(59,1),(60,1)}
       49:{1,2,7}:{(33,1),(34,1),(60,1)}
       50:{1,4}:{(35,1),(43,1)}
       51:{3,5,6}:{(36,1),(41,1),(61,1),(62,1),(64,1),(78,1),(83,1)}
       52:{1,2,5,7}:{(36,1),(37,1),(38,1),(42,1),(62,1),(63,1),(74,1),(75,1)}
       53:{1,6,7}:{(37,1),(39,1)}
       54:{2,6,7}:{(38,1),(39,1)}
       55:{3,4,6}:{(41,1),(43,1),(57,1),(59,1),(61,1),(64,1),(65,1),(78,1)}
       56:{3,7}:{(41,1),(42,1)}
       57:{2,4,6}:{(45,1),(47,1),(55,1),(66,1),(67,1),(79,1)}
       58:{2,3,7}:{(45,1),(46,1),(56,1),(67,1)}
       59:{1,4,6}:{(48,1),(50,1),(55,1),(68,1),(69,1),(80,1)}
       60:{1,3,7}:{(48,1),(49,1),(56,1),(69,1)}
       61:{4,6}:{(51,1),(70,1),(71,1)}
       62:{3,5,7}:{(51,1),(52,1),(56,1),(71,1),(72,1),(82,1)}
       63:{1,2,6,7}:{(52,1),(53,1),(54,1),(72,1),(79,1),(80,1)}
       64:{3,5}:{(55,1),(66,1),(68,1),(70,1)}
       65:{3,4,7}:{(55,1),(56,1),(67,1),(69,1),(71,1),(73,1)}
       66:{2,5}:{(57,1),(64,1)}
       67:{2,4,7}:{(57,1),(58,1),(65,1),(74,1)}
       68:{1,5}:{(59,1),(64,1)}
       69:{1,4,7}:{(59,1),(60,1),(65,1),(75,1)}
       70:{4,5}:{(61,1),(64,1)}
       71:{4,7}:{(61,1),(62,1)}
       72:{3,6,7}:{(62,1),(63,1),(77,1),(78,1)}
       73:{3,5,7}:{(64,1),(65,1),(74,1),(75,1),(76,1),(78,1)}
       74:{2,5,7}:{(66,1),(67,1),(73,1),(79,1)}
       75:{1,5,7}:{(68,1),(69,1),(73,1),(80,1)}
       76:{4,5,7}:{(70,1),(71,1),(73,1),(81,1),(82,1)}
       77:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       78:{3,6}:{(73,1),(79,1),(80,1),(81,1)}
       79:{2,6}:{(74,1),(78,1)}
       80:{1,6}:{(75,1),(78,1)}
       81:{4,6}:{(76,1),(78,1),(83,1)}
       82:{5,7}:{(77,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 334 :  0:{4,5,6}:{(1,1),(2,1),(45,1),(81,1)}
        1:{3,5,6}:{(0,1),(4,1),(5,1),(6,1),(7,1)}
        2:{4,5,7}:{(0,1),(7,1),(8,1),(59,1),(77,1)}
        3:{3,4,5}:{(4,1),(9,1),(10,1),(36,1),(58,1)}
        4:{3,4,6}:{(1,1),(3,1),(12,1),(13,1),(14,1),(43,1),(45,1)}
        5:{1,5,6}:{(1,1),(12,1),(16,1)}
        6:{2,5,6}:{(1,1),(13,1),(17,1)}
        7:{3,5,7}:{(1,1),(2,1),(14,1),(16,1),(17,1),(18,1)}
        8:{4,6,7}:{(2,1),(18,1),(19,1)}
        9:{1,4,5}:{(3,1),(12,1),(20,1)}
       10:{2,4,5}:{(3,1),(13,1),(21,1)}
       11:{2,3,4}:{(21,1),(23,1),(50,1)}
       12:{1,4,6}:{(4,1),(5,1),(9,1),(25,1),(28,1)}
       13:{2,4,6}:{(4,1),(6,1),(10,1),(26,1),(29,1)}
       14:{3,4,7}:{(4,1),(7,1),(28,1),(29,1),(57,1),(59,1)}
       15:{1,2,5,6}:{(5,1),(6,1),(27,1),(30,1),(31,1),(71,1),(73,1),(82,1),(83,1)}
       16:{1,5,7}:{(5,1),(7,1),(28,1),(32,1)}
       17:{2,5,7}:{(6,1),(7,1),(29,1),(33,1)}
       18:{3,6,7}:{(7,1),(8,1),(32,1),(33,1)}
       19:{5,6,7}:{(8,1),(77,1)}
       20:{1,3,5}:{(9,1),(24,1),(25,1),(34,1),(36,1)}
       21:{2,3,5}:{(10,1),(11,1),(26,1),(35,1),(36,1)}
       22:{1,2,4,5}:{(9,1),(10,1),(27,1),(34,1),(35,1),(36,1),(58,1),(61,1),(62,1),(71,1),(73,1)}
       23:{1,2,4}:{(11,1),(35,1),(37,1),(62,1)}
       24:{1,3,4}:{(20,1),(38,1),(50,1)}
       25:{1,3,6}:{(12,1),(20,1),(39,1),(40,1),(43,1)}
       26:{2,3,6}:{(13,1),(21,1),(41,1),(42,1),(43,1)}
       27:{1,2,4,6}:{(12,1),(13,1),(15,1),(22,1),(39,1),(41,1),(43,1),(44,1),(45,1),(63,1),(65,1)}
       28:{1,4,7}:{(12,1),(14,1),(16,1),(40,1)}
       29:{2,4,7}:{(13,1),(14,1),(17,1),(42,1)}
       30:{3,5,6}:{(15,1),(43,1),(45,1),(46,1),(67,1),(80,1),(81,1)}
       31:{1,2,5,7}:{(15,1),(16,1),(17,1),(44,1),(46,1),(47,1),(78,1),(79,1)}
       32:{1,6,7}:{(16,1),(18,1)}
       33:{2,6,7}:{(17,1),(18,1)}
       34:{1,2,5}:{(20,1),(38,1),(39,1),(48,1)}
       35:{1,2,5}:{(21,1),(23,1),(41,1),(49,1)}
       36:{3,5}:{(22,1),(43,1),(50,1)}
       37:{1,3}:{(23,1)}
       38:{1,2,4}:{(24,1),(34,1),(51,1),(61,1)}
       39:{1,2,6}:{(25,1),(34,1),(52,1),(53,1)}
       40:{1,3,7}:{(25,1),(28,1),(53,1),(57,1)}
       41:{1,2,6}:{(26,1),(35,1),(54,1),(55,1)}
       42:{2,3,7}:{(26,1),(29,1),(55,1),(57,1)}
       43:{3,6}:{(27,1),(36,1),(57,1)}
       44:{1,2,4,7}:{(27,1),(28,1),(29,1),(31,1),(53,1),(55,1),(57,1),(59,1),(72,1),(74,1)}
       45:{4,6}:{(30,1),(58,1),(59,1)}
       46:{3,5,7}:{(30,1),(31,1),(57,1),(59,1),(60,1),(77,1)}
       47:{1,2,6,7}:{(31,1),(32,1),(33,1),(60,1),(82,1),(83,1)}
       48:{2,3,5}:{(34,1),(36,1),(51,1),(52,1),(61,1),(71,1)}
       49:{1,3,5}:{(35,1),(36,1),(37,1),(54,1),(62,1),(73,1)}
       50:{3,4}:{(36,1),(61,1),(62,1)}
       51:{2,3}:{(38,1)}
       52:{2,3,6}:{(39,1),(43,1),(48,1),(63,1),(64,1)}
       53:{1,2,7}:{(39,1),(40,1),(64,1)}
       54:{1,3,6}:{(41,1),(43,1),(49,1),(65,1),(66,1)}
       55:{1,2,7}:{(41,1),(42,1),(66,1)}
       56:{3,4,6}:{(43,1),(45,1),(50,1),(63,1),(65,1),(67,1),(68,1),(80,1)}
       57:{3,7}:{(43,1),(44,1)}
       58:{4,5}:{(45,1),(67,1)}
       59:{4,7}:{(45,1),(46,1)}
       60:{3,6,7}:{(46,1),(47,1),(70,1),(80,1)}
       61:{2,4}:{(48,1),(50,1)}
       62:{1,4}:{(49,1),(50,1)}
       63:{2,4,6}:{(52,1),(56,1),(61,1),(71,1),(72,1),(82,1)}
       64:{2,3,7}:{(52,1),(53,1),(57,1),(72,1)}
       65:{1,4,6}:{(54,1),(56,1),(62,1),(73,1),(74,1),(83,1)}
       66:{1,3,7}:{(54,1),(55,1),(57,1),(74,1)}
       67:{3,5}:{(56,1),(58,1),(71,1),(73,1)}
       68:{3,4,7}:{(56,1),(57,1),(59,1),(72,1),(74,1),(75,1)}
       69:{4,5,7}:{(58,1),(59,1),(75,1),(76,1),(77,1)}
       70:{4,6,7}:{(59,1),(60,1),(76,1),(77,1)}
       71:{2,5}:{(63,1),(67,1)}
       72:{2,4,7}:{(63,1),(64,1),(68,1),(78,1)}
       73:{1,5}:{(65,1),(67,1)}
       74:{1,4,7}:{(65,1),(66,1),(68,1),(79,1)}
       75:{3,5,7}:{(67,1),(68,1),(69,1),(78,1),(79,1),(80,1)}
       76:{4,6}:{(69,1),(80,1),(81,1)}
       77:{5,7}:{(70,1),(81,1)}
       78:{2,5,7}:{(71,1),(72,1),(75,1),(82,1)}
       79:{1,5,7}:{(73,1),(74,1),(75,1),(83,1)}
       80:{3,6}:{(75,1),(76,1),(82,1),(83,1)}
       81:{5,6}:{(76,1),(77,1)}
       82:{2,6}:{(78,1),(80,1)}
       83:{1,6}:{(79,1),(80,1)}

 335 :   0:{3,4,6,7}:{(2,1),(3,1),(4,1),(19,1),(25,1),(31,1),(57,1),(60,1),(63,1),(65,1),(116,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(19,1),(65,1),(111,1),(120,1)}
         2:{1,4,6,7}:{(0,1),(7,1),(9,1),(35,1),(40,1),(51,1),(93,1),(141,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(10,1),(16,1),(42,1),(84,1),(92,1),(142,1)}
         4:{3,5,7}:{(0,1),(9,1),(10,1),(11,1),(12,1),(140,1)}
         5:{1,2,6,7}:{(1,1),(13,1),(14,1),(93,1),(138,1),(144,1),(145,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(14,1),(15,1),(16,1),(37,1),(43,1),(48,1)}
         7:{1,3,6,7}:{(2,1),(17,1),(18,1),(19,1),(63,1),(73,1),(119,1)}
         8:{1,2,4,6,7}:{(2,1),(3,1),(5,1),(17,1),(19,1),(20,1),(26,1),(29,1),(52,1),(55,1),(60,1),(61,1),(160,1)}
         9:{1,5,7}:{(2,1),(4,1),(21,1),(158,1)}
        10:{2,5,7}:{(3,1),(4,1),(23,1),(159,1)}
        11:{3,5,6}:{(4,1),(21,1),(23,1),(25,1),(63,1),(65,1)}
        12:{4,5,7}:{(4,1),(25,1),(60,1),(115,1)}
        13:{1,3,6,7}:{(5,1),(19,1),(26,1),(27,1),(110,1),(119,1),(122,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(27,1),(28,1),(29,1),(66,1),(123,1)}
        15:{2,3,5,6}:{(6,1),(23,1),(28,1),(30,1),(59,1),(65,1),(72,1),(75,1),(120,1),(128,1),(159,1),(172,1)}
        16:{2,4,7}:{(6,1),(30,1),(31,1),(60,1)}
        17:{1,2,6,7}:{(7,1),(32,1),(33,1),(92,1),(102,1),(144,1),(163,1)}
        18:{1,3,5,7}:{(7,1),(9,1),(33,1),(34,1),(35,1),(37,1),(41,1),(81,1)}
        19:{3,6,7}:{(8,1),(37,1),(48,1),(81,1),(89,1),(169,1)}
        20:{1,2,5,7}:{(8,1),(9,1),(10,1),(37,1),(38,1),(44,1),(77,1),(168,1)}
        21:{1,5,6}:{(9,1),(11,1),(40,1),(93,1)}
        22:{1,4,5,7}:{(9,1),(12,1),(35,1),(40,1),(41,1),(82,1)}
        23:{2,5,6}:{(10,1),(11,1),(42,1),(92,1)}
        24:{2,4,5,7}:{(10,1),(12,1),(16,1),(42,1),(43,1),(49,1)}
        25:{4,6}:{(11,1),(12,1)}
        26:{1,4,6,7}:{(13,1),(36,1),(44,1),(46,1),(94,1),(134,1),(141,1),(163,1)}
        27:{1,3,5,7}:{(13,1),(14,1),(37,1),(44,1),(45,1),(46,1),(48,1),(95,1)}
        28:{1,2,5,6}:{(14,1),(15,1),(45,1),(47,1),(93,1),(103,1),(144,1),(145,1),(146,1),(149,1),(168,1)}
        29:{1,2,4,7}:{(14,1),(16,1),(46,1),(47,1),(48,1),(51,1),(98,1),(102,1)}
        30:{2,4,6}:{(15,1),(16,1),(49,1),(50,1),(87,1),(148,1),(174,1)}
        31:{3,4,7}:{(16,1),(43,1),(48,1),(50,1),(51,1)}
        32:{2,3,6,7}:{(17,1),(19,1),(52,1),(53,1),(74,1),(120,1),(150,1)}
        33:{1,2,5,7}:{(17,1),(18,1),(53,1),(54,1),(55,1),(64,1),(151,1)}
        34:{1,3,5,6}:{(18,1),(21,1),(54,1),(56,1),(59,1),(63,1),(109,1),(112,1),(119,1),(155,1),(158,1),(172,1)}
        35:{1,4,7}:{(18,1),(56,1),(57,1),(60,1)}
        36:{3,4,6,7}:{(19,1),(26,1),(52,1),(58,1),(60,1),(70,1),(107,1),(114,1),(116,1),(122,1),(150,1)}
        37:{3,5,7}:{(19,1),(20,1),(59,1),(60,1),(172,1)}
        38:{1,2,5,6}:{(20,1),(21,1),(23,1),(59,1),(61,1),(67,1),(104,1),(158,1),(159,1)}
        39:{1,2,4,5,7}:{(20,1),(22,1),(24,1),(29,1),(55,1),(60,1),(61,1),(62,1),(64,1),(66,1),(68,1),(71,1),(105,1),(108,1),(115,1),(117,1),(118,1),(121,1),(123,1),(151,1),(158,1),(159,1)}
        40:{1,4,6}:{(21,1),(22,1),(25,1),(63,1)}
        41:{3,5,7}:{(22,1),(57,1),(63,1),(64,1),(112,1)}
        42:{2,4,6}:{(23,1),(24,1),(25,1),(65,1)}
        43:{3,5,7}:{(24,1),(31,1),(65,1),(66,1),(75,1)}
        44:{1,5,7}:{(26,1),(58,1),(67,1),(158,1)}
        45:{1,3,5,6}:{(27,1),(28,1),(59,1),(67,1),(69,1),(72,1),(119,1),(122,1),(124,1),(127,1),(158,1),(172,1)}
        46:{1,4,7}:{(27,1),(60,1),(69,1),(70,1)}
        47:{1,2,4,6}:{(28,1),(29,1),(30,1),(69,1),(71,1),(72,1),(76,1),(125,1),(129,1),(162,1)}
        48:{3,7}:{(29,1),(72,1)}
        49:{2,4,5}:{(30,1),(75,1),(115,1),(159,1)}
        50:{3,4,6}:{(30,1),(31,1),(65,1),(72,1),(75,1),(76,1),(126,1)}
        51:{1,4,7}:{(31,1),(66,1),(73,1),(76,1)}
        52:{2,4,6,7}:{(32,1),(36,1),(77,1),(79,1),(98,1),(130,1),(142,1),(145,1)}
        53:{2,3,5,7}:{(32,1),(33,1),(37,1),(77,1),(78,1),(79,1),(81,1),(131,1)}
        54:{1,2,5,6}:{(33,1),(34,1),(78,1),(80,1),(92,1),(139,1),(144,1),(163,1),(164,1),(167,1),(168,1)}
        55:{1,2,4,7}:{(33,1),(35,1),(79,1),(80,1),(81,1),(84,1),(134,1),(138,1)}
        56:{1,4,6}:{(34,1),(35,1),(82,1),(83,1),(87,1),(165,1),(174,1)}
        57:{3,4,7}:{(35,1),(41,1),(81,1),(83,1),(84,1)}
        58:{3,5,7}:{(36,1),(44,1),(77,1),(85,1),(86,1),(140,1)}
        59:{3,5,6}:{(37,1),(38,1),(87,1),(89,1),(140,1)}
        60:{4,7}:{(37,1),(87,1),(174,1)}
        61:{1,2,4,6}:{(38,1),(39,1),(40,1),(42,1),(87,1),(89,1),(92,1),(93,1),(94,1),(130,1),(141,1),(142,1),(144,1),(145,1),(163,1)}
        62:{3,5,7}:{(39,1),(48,1),(81,1),(88,1),(89,1),(99,1),(135,1),(140,1)}
        63:{3,6}:{(40,1),(41,1),(92,1)}
        64:{2,5,7}:{(41,1),(84,1),(92,1),(139,1)}
        65:{3,6}:{(42,1),(43,1),(93,1)}
        66:{1,5,7}:{(43,1),(51,1),(93,1),(103,1)}
        67:{1,5,6}:{(44,1),(85,1),(94,1),(163,1)}
        68:{1,4,5,7}:{(44,1),(46,1),(86,1),(94,1),(95,1),(96,1)}
        69:{1,4,6}:{(45,1),(46,1),(87,1),(96,1),(97,1),(147,1),(174,1)}
        70:{3,4,7}:{(46,1),(48,1),(95,1),(97,1),(98,1)}
        71:{1,2,4,5}:{(47,1),(49,1),(96,1),(99,1),(103,1),(146,1),(147,1),(148,1),(149,1),(168,1),(174,1)}
        72:{3,6}:{(47,1),(48,1),(99,1),(170,1)}
        73:{1,3,7}:{(48,1),(51,1),(100,1),(102,1)}
        74:{2,3,7}:{(48,1),(98,1),(101,1),(102,1)}
        75:{3,5}:{(49,1),(50,1),(103,1)}
        76:{1,4,6}:{(50,1),(51,1),(93,1),(100,1),(103,1),(147,1)}
        77:{2,5,7}:{(52,1),(58,1),(104,1),(159,1)}
        78:{2,3,5,6}:{(53,1),(54,1),(59,1),(104,1),(106,1),(109,1),(120,1),(150,1),(152,1),(156,1),(159,1),(172,1)}
        79:{2,4,7}:{(53,1),(60,1),(106,1),(107,1)}
        80:{1,2,4,6}:{(54,1),(55,1),(56,1),(106,1),(108,1),(109,1),(113,1),(153,1),(157,1),(171,1)}
        81:{3,7}:{(55,1),(109,1)}
        82:{1,4,5}:{(56,1),(112,1),(115,1),(158,1)}
        83:{3,4,6}:{(56,1),(57,1),(63,1),(109,1),(112,1),(113,1),(154,1)}
        84:{2,4,7}:{(57,1),(64,1),(111,1),(113,1)}
        85:{3,5,6}:{(58,1),(67,1),(104,1),(114,1),(122,1),(150,1)}
        86:{4,5,7}:{(58,1),(60,1),(114,1),(115,1)}
        87:{4,6}:{(59,1),(60,1),(115,1)}
        88:{3,4,7}:{(60,1),(62,1),(116,1),(117,1),(118,1),(126,1),(154,1),(161,1)}
        89:{3,6}:{(61,1),(62,1)}
        90:{1,3,5,7}:{(62,1),(66,1),(73,1),(110,1),(117,1),(119,1),(121,1),(127,1),(151,1),(155,1),(158,1),(161,1),(172,1)}
        91:{2,3,5,7}:{(62,1),(64,1),(74,1),(111,1),(118,1),(120,1),(121,1),(123,1),(128,1),(156,1),(159,1),(161,1),(172,1)}
        92:{2,6}:{(63,1),(64,1)}
        93:{1,6}:{(65,1),(66,1)}
        94:{1,4,6}:{(67,1),(68,1),(114,1),(122,1)}
        95:{3,5,7}:{(68,1),(70,1),(122,1),(123,1),(124,1)}
        96:{1,4,5}:{(69,1),(115,1),(124,1),(158,1)}
        97:{3,4,6}:{(69,1),(70,1),(72,1),(122,1),(124,1),(125,1),(126,1)}
        98:{2,4,7}:{(70,1),(74,1),(123,1),(125,1)}
        99:{3,5}:{(71,1),(72,1),(126,1)}
       100:{1,3,6}:{(72,1),(73,1),(76,1),(127,1),(129,1)}
       101:{2,3,6}:{(72,1),(74,1),(125,1),(128,1),(129,1)}
       102:{1,2,7}:{(73,1),(74,1),(129,1)}
       103:{1,5}:{(75,1),(76,1)}
       104:{2,5,6}:{(77,1),(85,1),(130,1),(145,1)}
       105:{2,4,5,7}:{(77,1),(79,1),(86,1),(130,1),(131,1),(132,1)}
       106:{2,4,6}:{(78,1),(79,1),(87,1),(132,1),(133,1),(166,1),(174,1)}
       107:{3,4,7}:{(79,1),(81,1),(131,1),(133,1),(134,1)}
       108:{1,2,4,5}:{(80,1),(82,1),(132,1),(135,1),(139,1),(164,1),(165,1),(166,1),(167,1),(168,1),(174,1)}
       109:{3,6}:{(80,1),(81,1),(135,1),(173,1)}
       110:{1,3,7}:{(81,1),(134,1),(136,1),(138,1)}
       111:{2,3,7}:{(81,1),(84,1),(137,1),(138,1)}
       112:{3,5}:{(82,1),(83,1),(139,1)}
       113:{2,4,6}:{(83,1),(84,1),(92,1),(137,1),(139,1),(166,1)}
       114:{4,6}:{(85,1),(86,1)}
       115:{4,5}:{(87,1),(140,1),(174,1)}
       116:{3,4,6}:{(87,1),(88,1),(89,1),(140,1),(141,1),(142,1),(169,1),(174,1)}
       117:{1,4,7}:{(88,1),(90,1),(141,1),(147,1),(165,1),(174,1)}
       118:{2,4,7}:{(88,1),(91,1),(142,1),(148,1),(166,1),(174,1)}
       119:{1,3,6}:{(89,1),(90,1),(93,1),(141,1),(144,1),(163,1),(169,1)}
       120:{2,3,6}:{(89,1),(91,1),(92,1),(142,1),(144,1),(145,1),(169,1)}
       121:{1,2,5,7}:{(90,1),(91,1),(102,1),(138,1),(143,1),(144,1),(149,1),(167,1),(168,1)}
       122:{3,6}:{(94,1),(95,1),(145,1)}
       123:{2,5,7}:{(95,1),(98,1),(145,1),(146,1)}
       124:{3,5}:{(96,1),(97,1),(146,1)}
       125:{2,4,6}:{(97,1),(98,1),(101,1),(145,1),(146,1),(148,1)}
       126:{3,4}:{(99,1),(147,1),(148,1),(170,1),(174,1)}
       127:{1,3,5}:{(99,1),(100,1),(103,1),(147,1),(149,1),(170,1)}
       128:{2,3,5}:{(99,1),(101,1),(146,1),(148,1),(149,1),(170,1)}
       129:{1,2,6}:{(100,1),(101,1),(102,1),(149,1)}
       130:{2,4,6}:{(104,1),(105,1),(114,1),(150,1)}
       131:{3,5,7}:{(105,1),(107,1),(150,1),(151,1),(152,1)}
       132:{2,4,5}:{(106,1),(115,1),(152,1),(159,1)}
       133:{3,4,6}:{(106,1),(107,1),(109,1),(150,1),(152,1),(153,1),(154,1)}
       134:{1,4,7}:{(107,1),(110,1),(151,1),(153,1)}
       135:{3,5}:{(108,1),(109,1),(154,1)}
       136:{1,3,6}:{(109,1),(110,1),(153,1),(155,1),(157,1)}
       137:{2,3,6}:{(109,1),(111,1),(113,1),(156,1),(157,1)}
       138:{1,2,7}:{(110,1),(111,1),(157,1)}
       139:{2,5}:{(112,1),(113,1)}
       140:{3,5}:{(115,1),(116,1),(158,1),(159,1)}
       141:{1,4,6}:{(116,1),(117,1),(119,1),(158,1)}
       142:{2,4,6}:{(116,1),(118,1),(120,1),(159,1)}
       143:{1,2,4,7}:{(117,1),(118,1),(121,1),(160,1),(161,1),(162,1),(171,1)}
       144:{1,2,6}:{(119,1),(120,1),(121,1)}
       145:{2,6}:{(122,1),(123,1)}
       146:{2,5}:{(124,1),(125,1)}
       147:{1,4}:{(126,1),(127,1)}
       148:{2,4}:{(126,1),(128,1)}
       149:{1,2,5}:{(127,1),(128,1),(129,1),(162,1)}
       150:{3,6}:{(130,1),(131,1),(163,1)}
       151:{1,5,7}:{(131,1),(134,1),(163,1),(164,1)}
       152:{3,5}:{(132,1),(133,1),(164,1)}
       153:{1,4,6}:{(133,1),(134,1),(136,1),(163,1),(164,1),(165,1)}
       154:{3,4}:{(135,1),(165,1),(166,1),(173,1),(174,1)}
       155:{1,3,5}:{(135,1),(136,1),(164,1),(165,1),(167,1),(173,1)}
       156:{2,3,5}:{(135,1),(137,1),(139,1),(166,1),(167,1),(173,1)}
       157:{1,2,6}:{(136,1),(137,1),(138,1),(167,1)}
       158:{1,5}:{(140,1),(141,1)}
       159:{2,5}:{(140,1),(142,1)}
       160:{1,2,4,6}:{(141,1),(142,1),(143,1),(144,1),(168,1),(169,1),(174,1)}
       161:{3,7}:{(143,1),(169,1),(170,1),(173,1)}
       162:{1,2,4}:{(147,1),(148,1),(149,1),(170,1)}
       163:{1,6}:{(150,1),(151,1)}
       164:{1,5}:{(152,1),(153,1)}
       165:{1,4}:{(154,1),(155,1)}
       166:{2,4}:{(154,1),(156,1)}
       167:{1,2,5}:{(155,1),(156,1),(157,1),(171,1)}
       168:{1,2,5}:{(158,1),(159,1),(160,1),(172,1)}
       169:{3,6}:{(160,1),(161,1),(172,1)}
       170:{3}:{(162,1)}
       171:{1,2,4}:{(165,1),(166,1),(167,1),(173,1)}
       172:{3,5}:{(168,1),(169,1),(174,1)}
       173:{3}:{(171,1)}
       174:{4}:{(172,1)}

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

 337 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(16,1),(40,1),(44,1),(45,1),(86,1),(87,1),(121,1),(147,1)}
         1:{1,2,5,6}:{(0,1),(5,1),(6,1),(7,1),(24,1),(61,1),(66,1),(68,1),(105,1),(110,1),(135,1)}
         2:{2,4,6}:{(0,1),(4,1),(8,1),(9,1),(59,1),(108,1),(158,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(25,1),(33,1),(37,1),(77,1)}
         4:{2,4,5}:{(2,1),(12,1),(121,1),(122,1)}
         5:{1,3,5,6}:{(1,1),(14,1),(15,1),(16,1),(39,1),(46,1),(85,1),(87,1),(91,1),(92,1),(120,1),(147,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(14,1),(16,1),(17,1),(19,1),(48,1),(51,1),(80,1)}
         7:{1,2,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(43,1),(90,1)}
         8:{3,4,6}:{(2,1),(12,1),(16,1),(19,1),(20,1),(38,1),(44,1)}
         9:{2,4,7}:{(2,1),(3,1),(20,1),(98,1)}
        10:{2,3,6,7}:{(3,1),(18,1),(21,1),(44,1),(54,1),(86,1),(157,1)}
        11:{1,2,4,5}:{(4,1),(6,1),(22,1),(24,1),(27,1),(58,1),(59,1),(61,1),(68,1),(135,1),(158,1)}
        12:{3,5}:{(4,1),(8,1),(24,1)}
        13:{2,4,5,7}:{(4,1),(9,1),(25,1),(26,1),(37,1),(79,1)}
        14:{1,4,6}:{(5,1),(27,1),(28,1),(29,1),(58,1),(108,1),(158,1)}
        15:{1,3,5,7}:{(5,1),(7,1),(29,1),(30,1),(33,1),(69,1),(73,1),(77,1)}
        16:{3,6}:{(6,1),(22,1),(33,1),(100,1)}
        17:{1,2,4,7}:{(6,1),(7,1),(9,1),(29,1),(33,1),(35,1),(71,1),(74,1)}
        18:{1,2,6,7}:{(7,1),(10,1),(30,1),(66,1),(105,1),(110,1),(165,1)}
        19:{1,4,6}:{(8,1),(24,1),(31,1),(35,1),(58,1),(66,1)}
        20:{3,4,7}:{(8,1),(9,1),(25,1),(33,1),(35,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(26,1),(36,1),(37,1),(103,1),(141,1),(145,1)}
        22:{3,5}:{(11,1),(16,1),(38,1)}
        23:{1,2,4,5,7}:{(11,1),(13,1),(17,1),(41,1),(42,1),(43,1),(47,1),(55,1),(81,1),(82,1),(84,1),(90,1),(98,1),(99,1),(120,1),(121,1),(122,1),(129,1),(130,1),(133,1),(148,1),(155,1)}
        24:{1,5}:{(12,1),(19,1)}
        25:{3,5,7}:{(12,1),(13,1),(20,1),(43,1),(44,1)}
        26:{2,4,6}:{(13,1),(44,1),(45,1),(89,1)}
        27:{1,4,5}:{(14,1),(46,1),(120,1),(122,1)}
        28:{3,4,6}:{(14,1),(16,1),(38,1),(46,1),(48,1),(49,1),(91,1)}
        29:{1,4,7}:{(14,1),(15,1),(49,1),(98,1)}
        30:{1,3,6,7}:{(15,1),(18,1),(50,1),(54,1),(85,1),(91,1),(156,1)}
        31:{1,3,6}:{(16,1),(19,1),(39,1),(51,1),(52,1)}
        32:{2,3,6}:{(16,1),(40,1),(48,1),(51,1),(53,1)}
        33:{3,7}:{(16,1),(17,1)}
        34:{1,2,4,6,7}:{(17,1),(18,1),(21,1),(42,1),(50,1),(54,1),(55,1),(56,1),(93,1),(95,1),(98,1),(119,1),(130,1)}
        35:{1,4,7}:{(19,1),(20,1),(43,1),(52,1)}
        36:{3,4,6,7}:{(20,1),(21,1),(44,1),(54,1),(56,1),(57,1),(83,1),(89,1),(98,1),(126,1),(131,1)}
        37:{2,5,7}:{(21,1),(45,1),(57,1),(121,1)}
        38:{3,4}:{(22,1),(58,1),(59,1),(100,1),(158,1)}
        39:{1,3,5}:{(22,1),(24,1),(31,1),(58,1),(61,1),(100,1)}
        40:{2,3,5}:{(22,1),(32,1),(59,1),(61,1),(68,1),(100,1)}
        41:{3,5,7}:{(22,1),(23,1),(33,1),(60,1),(64,1),(104,1),(144,1),(159,1)}
        42:{1,2,4,6}:{(23,1),(26,1),(64,1),(65,1),(66,1),(70,1),(102,1),(103,1),(105,1),(108,1),(109,1),(110,1),(141,1),(142,1),(164,1)}
        43:{1,5,7}:{(24,1),(25,1),(35,1),(66,1)}
        44:{3,6}:{(25,1),(26,1),(66,1)}
        45:{2,5,6}:{(26,1),(37,1),(67,1),(141,1)}
        46:{3,5}:{(27,1),(28,1),(68,1)}
        47:{1,4,5,7}:{(27,1),(29,1),(69,1),(70,1),(73,1),(113,1)}
        48:{2,4,6}:{(28,1),(32,1),(59,1),(68,1),(71,1),(110,1)}
        49:{3,4,7}:{(28,1),(29,1),(33,1),(69,1),(71,1)}
        50:{1,4,6,7}:{(29,1),(30,1),(70,1),(72,1),(73,1),(102,1),(146,1),(164,1)}
        51:{1,2,6}:{(31,1),(32,1),(61,1),(74,1)}
        52:{1,3,7}:{(31,1),(33,1),(35,1),(74,1)}
        53:{2,3,7}:{(32,1),(33,1),(71,1),(74,1)}
        54:{3,6,7}:{(33,1),(34,1),(64,1),(77,1),(134,1),(144,1)}
        55:{1,2,5,7}:{(34,1),(37,1),(65,1),(73,1),(77,1),(78,1),(112,1),(135,1)}
        56:{1,4,6,7}:{(35,1),(36,1),(66,1),(75,1),(78,1),(102,1),(109,1),(115,1)}
        57:{3,5,7}:{(36,1),(37,1),(67,1),(78,1),(79,1),(104,1)}
        58:{1,4}:{(38,1),(39,1)}
        59:{2,4}:{(38,1),(40,1)}
        60:{3,4,7}:{(38,1),(41,1),(81,1),(82,1),(83,1),(98,1),(118,1),(166,1)}
        61:{1,2,5}:{(39,1),(40,1),(51,1),(80,1)}
        62:{1,3,5,7}:{(39,1),(41,1),(43,1),(52,1),(81,1),(84,1),(85,1),(118,1),(120,1),(147,1),(155,1),(156,1),(167,1)}
        63:{2,3,5,7}:{(40,1),(41,1),(53,1),(82,1),(84,1),(86,1),(90,1),(118,1),(121,1),(133,1),(147,1),(157,1),(168,1)}
        64:{3,6}:{(41,1),(42,1)}
        65:{1,2,5,6}:{(42,1),(45,1),(55,1),(87,1),(88,1),(92,1),(120,1),(121,1),(127,1)}
        66:{1,6}:{(43,1),(44,1)}
        67:{3,5,6}:{(44,1),(45,1),(57,1),(88,1),(89,1),(126,1)}
        68:{2,5}:{(46,1),(48,1)}
        69:{3,5,7}:{(46,1),(47,1),(49,1),(90,1),(91,1)}
        70:{1,4,6}:{(47,1),(91,1),(92,1),(128,1)}
        71:{2,4,7}:{(48,1),(49,1),(53,1),(90,1)}
        72:{3,4,6,7}:{(49,1),(50,1),(54,1),(83,1),(91,1),(93,1),(94,1),(98,1),(128,1),(132,1),(154,1)}
        73:{1,5,7}:{(50,1),(92,1),(94,1),(120,1)}
        74:{1,2,7}:{(51,1),(52,1),(53,1)}
        75:{1,3,6,7}:{(52,1),(54,1),(56,1),(85,1),(95,1),(96,1),(126,1)}
        76:{2,3,6,7}:{(53,1),(54,1),(86,1),(93,1),(95,1),(97,1),(154,1)}
        77:{3,5,7}:{(54,1),(55,1),(87,1),(98,1),(147,1)}
        78:{1,5,7}:{(56,1),(57,1),(88,1),(120,1)}
        79:{4,5,7}:{(57,1),(89,1),(98,1),(122,1)}
        80:{1,2,4}:{(58,1),(59,1),(61,1),(100,1)}
        81:{1,4,7}:{(58,1),(60,1),(62,1),(102,1),(158,1),(170,1)}
        82:{2,4,7}:{(59,1),(60,1),(63,1),(103,1),(158,1),(171,1)}
        83:{3,4,6}:{(60,1),(64,1),(102,1),(103,1),(104,1),(108,1),(134,1),(158,1)}
        84:{1,2,5,7}:{(61,1),(62,1),(63,1),(74,1),(101,1),(105,1),(135,1),(165,1),(172,1)}
        85:{1,3,6}:{(62,1),(64,1),(66,1),(102,1),(105,1),(134,1),(164,1)}
        86:{2,3,6}:{(63,1),(64,1),(103,1),(105,1),(110,1),(134,1),(141,1)}
        87:{3,5,6}:{(64,1),(65,1),(77,1),(104,1),(108,1)}
        88:{1,5,6}:{(66,1),(67,1),(78,1),(109,1)}
        89:{4,6}:{(67,1),(79,1)}
        90:{2,5,7}:{(68,1),(69,1),(71,1),(110,1)}
        91:{3,6}:{(69,1),(70,1),(110,1)}
        92:{1,5,6}:{(70,1),(73,1),(111,1),(164,1)}
        93:{2,4,6,7}:{(71,1),(72,1),(76,1),(103,1),(110,1),(112,1),(116,1),(142,1)}
        94:{3,5,7}:{(72,1),(73,1),(104,1),(111,1),(112,1),(113,1)}
        95:{1,2,6,7}:{(74,1),(75,1),(76,1),(105,1),(114,1),(141,1),(164,1)}
        96:{1,3,5,7}:{(75,1),(77,1),(78,1),(106,1),(114,1),(115,1),(117,1),(144,1)}
        97:{2,3,5,7}:{(76,1),(77,1),(107,1),(112,1),(114,1),(116,1),(143,1),(144,1)}
        98:{4,7}:{(77,1),(108,1),(158,1)}
        99:{1,4,5,7}:{(78,1),(79,1),(109,1),(115,1),(117,1),(136,1)}
       100:{3}:{(80,1)}
       101:{1,2,4,7}:{(80,1),(81,1),(82,1),(84,1),(118,1),(119,1),(173,1)}
       102:{1,4,6}:{(81,1),(83,1),(85,1),(120,1)}
       103:{2,4,6}:{(82,1),(83,1),(86,1),(121,1)}
       104:{3,5}:{(83,1),(120,1),(121,1),(122,1)}
       105:{1,2,6}:{(84,1),(85,1),(86,1)}
       106:{1,3,5,6}:{(85,1),(87,1),(88,1),(96,1),(120,1),(123,1),(124,1),(126,1),(147,1),(149,1),(151,1),(167,1)}
       107:{2,3,5,6}:{(86,1),(87,1),(97,1),(121,1),(123,1),(125,1),(127,1),(147,1),(150,1),(151,1),(154,1),(168,1)}
       108:{4,6}:{(87,1),(98,1),(122,1)}
       109:{1,4,6}:{(88,1),(89,1),(99,1),(126,1)}
       110:{2,6}:{(90,1),(91,1)}
       111:{3,5,6}:{(91,1),(92,1),(94,1),(127,1),(128,1),(154,1)}
       112:{2,5,7}:{(93,1),(94,1),(121,1),(127,1)}
       113:{4,5,7}:{(94,1),(98,1),(122,1),(128,1)}
       114:{1,2,5,7}:{(95,1),(96,1),(97,1),(123,1),(130,1),(133,1),(155,1)}
       115:{1,4,7}:{(96,1),(98,1),(124,1),(131,1)}
       116:{2,4,7}:{(97,1),(98,1),(125,1),(132,1)}
       117:{3,5,7}:{(99,1),(126,1),(131,1),(133,1),(149,1)}
       118:{3,7}:{(100,1),(101,1),(134,1),(174,1)}
       119:{1,2,4,6}:{(101,1),(102,1),(103,1),(105,1),(134,1),(135,1),(158,1)}
       120:{1,5}:{(102,1),(104,1)}
       121:{2,5}:{(103,1),(104,1)}
       122:{4,5}:{(104,1),(108,1),(158,1)}
       123:{1,2,5,6}:{(105,1),(106,1),(107,1),(114,1),(135,1),(138,1),(141,1),(160,1),(161,1),(164,1),(172,1)}
       124:{1,4,6}:{(106,1),(108,1),(115,1),(136,1),(139,1),(158,1),(170,1)}
       125:{2,4,6}:{(107,1),(108,1),(116,1),(137,1),(140,1),(158,1),(171,1)}
       126:{3,6}:{(109,1),(117,1),(141,1)}
       127:{2,5,6}:{(110,1),(111,1),(112,1),(142,1)}
       128:{4,6}:{(111,1),(113,1)}
       129:{2,4,5,7}:{(112,1),(113,1),(116,1),(137,1),(142,1),(143,1)}
       130:{1,2,4,7}:{(114,1),(115,1),(116,1),(138,1),(144,1),(145,1),(146,1),(165,1)}
       131:{3,4,7}:{(115,1),(117,1),(139,1),(144,1),(145,1)}
       132:{3,4,7}:{(116,1),(140,1),(143,1),(144,1),(146,1)}
       133:{2,5,7}:{(117,1),(141,1),(145,1),(160,1)}
       134:{3,6}:{(118,1),(119,1),(147,1)}
       135:{1,2,5}:{(119,1),(120,1),(121,1),(147,1)}
       136:{1,4,5}:{(120,1),(122,1),(124,1),(149,1)}
       137:{2,4,5}:{(121,1),(122,1),(125,1),(150,1)}
       138:{1,2,4,6}:{(123,1),(124,1),(125,1),(130,1),(148,1),(151,1),(152,1),(153,1),(169,1),(173,1)}
       139:{3,4,6}:{(124,1),(126,1),(131,1),(149,1),(151,1),(152,1),(166,1)}
       140:{3,4,6}:{(125,1),(132,1),(150,1),(151,1),(153,1),(154,1),(166,1)}
       141:{2,6}:{(126,1),(133,1)}
       142:{2,4,6}:{(127,1),(128,1),(129,1),(154,1)}
       143:{3,5,7}:{(129,1),(132,1),(150,1),(154,1),(155,1)}
       144:{3,7}:{(130,1),(151,1)}
       145:{2,4,7}:{(131,1),(133,1),(152,1),(157,1)}
       146:{1,4,7}:{(132,1),(153,1),(155,1),(156,1)}
       147:{3,5}:{(134,1),(135,1),(158,1)}
       148:{1,2,4,5}:{(135,1),(136,1),(137,1),(138,1),(158,1),(159,1),(160,1),(161,1),(170,1),(171,1),(172,1)}
       149:{3,5}:{(136,1),(139,1),(160,1)}
       150:{3,5}:{(137,1),(140,1),(161,1)}
       151:{3,6}:{(138,1),(144,1),(159,1),(174,1)}
       152:{2,4,6}:{(139,1),(141,1),(145,1),(160,1),(163,1),(171,1)}
       153:{1,4,6}:{(140,1),(146,1),(161,1),(162,1),(164,1),(170,1)}
       154:{3,6}:{(142,1),(143,1),(164,1)}
       155:{1,5,7}:{(143,1),(146,1),(161,1),(164,1)}
       156:{1,3,7}:{(144,1),(146,1),(162,1),(165,1)}
       157:{2,3,7}:{(144,1),(145,1),(163,1),(165,1)}
       158:{4}:{(147,1)}
       159:{3,5}:{(148,1),(151,1),(166,1)}
       160:{2,5}:{(149,1),(152,1)}
       161:{1,5}:{(150,1),(153,1)}
       162:{1,3,6}:{(151,1),(153,1),(156,1),(167,1),(169,1)}
       163:{2,3,6}:{(151,1),(152,1),(157,1),(168,1),(169,1)}
       164:{1,6}:{(154,1),(155,1)}
       165:{1,2,7}:{(156,1),(157,1),(169,1)}
       166:{3,4}:{(158,1),(159,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(159,1),(161,1),(162,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(159,1),(160,1),(163,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(162,1),(163,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

 338 :   0:{2,4,5,6}:{(2,1),(3,1),(15,1),(37,1),(92,1)}
         1:{2,5,6,7}:{(4,1),(6,1),(69,1),(75,1)}
         2:{2,4,5,7}:{(0,1),(6,1),(7,1),(26,1),(29,1),(75,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(8,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(12,1),(16,1),(43,1),(48,1)}
         5:{3,4,6}:{(3,1),(10,1),(13,1),(14,1),(15,1),(52,1)}
         6:{2,4,6,7}:{(1,1),(2,1),(12,1),(16,1)}
         7:{3,5,7}:{(2,1),(3,1),(13,1),(16,1),(17,1)}
         8:{1,5,6}:{(3,1),(14,1),(17,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(36,1),(52,1),(88,1),(92,1),(146,1)}
        10:{3,4,5}:{(5,1),(21,1),(22,1),(66,1)}
        11:{1,5,6,7}:{(4,1),(23,1),(31,1),(74,1)}
        12:{4,6,7}:{(4,1),(26,1)}
        13:{3,4,7}:{(5,1),(7,1),(28,1),(29,1),(77,1)}
        14:{1,4,6}:{(5,1),(8,1),(21,1),(24,1),(28,1)}
        15:{2,4,6}:{(5,1),(9,1),(22,1),(29,1),(166,1)}
        16:{3,6,7}:{(6,1),(7,1),(31,1)}
        17:{1,5,7}:{(7,1),(8,1),(28,1),(31,1)}
        18:{2,3,5,7}:{(7,1),(9,1),(29,1),(32,1),(33,1),(75,1),(77,1),(130,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(30,1),(33,1),(34,1),(61,1),(118,1),(129,1),(172,1)}
        20:{3,4,5,7}:{(10,1),(13,1),(38,1),(39,1),(40,1),(48,1),(94,1),(96,1),(135,1),(153,1),(183,1)}
        21:{1,4,5}:{(10,1),(14,1),(35,1)}
        22:{2,4,5}:{(10,1),(15,1),(36,1),(183,1)}
        23:{1,4,6,7}:{(11,1),(12,1),(42,1),(43,1)}
        24:{1,3,6}:{(14,1),(35,1),(44,1),(45,1),(52,1)}
        25:{2,3,4,6}:{(15,1),(36,1),(46,1),(47,1),(52,1),(88,1),(95,1),(101,1),(147,1)}
        26:{4,5,7}:{(12,1),(37,1),(48,1),(153,1)}
        27:{3,4,6,7}:{(12,1),(13,1),(16,1),(38,1),(43,1),(48,1),(49,1),(50,1),(96,1),(104,1),(153,1)}
        28:{1,4,7}:{(13,1),(14,1),(17,1),(44,1)}
        29:{2,4,7}:{(13,1),(15,1),(18,1),(153,1)}
        30:{1,2,4,6}:{(14,1),(15,1),(19,1),(41,1),(45,1),(51,1),(52,1),(55,1),(101,1)}
        31:{1,6,7}:{(16,1),(17,1)}
        32:{2,3,6,7}:{(16,1),(18,1),(50,1),(53,1),(88,1),(104,1),(148,1)}
        33:{1,2,5,7}:{(17,1),(18,1),(19,1),(51,1),(53,1),(54,1),(152,1)}
        34:{1,3,5,6}:{(19,1),(52,1),(54,1),(55,1),(90,1),(106,1),(144,1),(146,1),(155,1),(156,1),(182,1)}
        35:{1,3,5}:{(21,1),(24,1),(56,1),(59,1),(66,1)}
        36:{2,3,5}:{(22,1),(25,1),(61,1),(66,1),(129,1),(167,1)}
        37:{4,5,6}:{(26,1),(62,1),(166,1)}
        38:{3,4,6}:{(20,1),(62,1),(63,1),(64,1),(122,1),(166,1)}
        39:{1,4,5,7}:{(20,1),(21,1),(28,1),(58,1),(63,1),(74,1),(124,1),(157,1)}
        40:{2,4,5,7}:{(20,1),(22,1),(29,1),(60,1),(64,1),(75,1),(125,1),(158,1)}
        41:{1,2,4,5}:{(21,1),(22,1),(30,1),(59,1),(61,1),(66,1),(81,1),(117,1),(120,1),(129,1)}
        42:{1,4,5,7}:{(23,1),(26,1),(57,1),(67,1),(74,1),(124,1)}
        43:{3,6,7}:{(23,1),(67,1),(69,1)}
        44:{1,3,7}:{(24,1),(28,1),(70,1),(77,1)}
        45:{1,2,6}:{(24,1),(59,1),(70,1),(71,1)}
        46:{2,3,4,7}:{(25,1),(29,1),(60,1),(72,1),(77,1),(123,1),(128,1),(189,1)}
        47:{1,2,4,6}:{(25,1),(61,1),(72,1),(73,1),(118,1),(120,1),(165,1)}
        48:{3,5,7}:{(26,1),(27,1),(62,1),(74,1),(75,1)}
        49:{1,4,6,7}:{(27,1),(28,1),(31,1),(63,1),(68,1),(74,1),(124,1)}
        50:{2,4,6,7}:{(27,1),(29,1),(32,1),(64,1),(69,1),(75,1),(125,1)}
        51:{1,2,4,7}:{(28,1),(29,1),(30,1),(33,1),(70,1),(77,1),(80,1),(128,1)}
        52:{3,6}:{(30,1),(66,1),(77,1)}
        53:{1,2,6,7}:{(31,1),(32,1),(33,1),(79,1),(118,1),(168,1),(172,1)}
        54:{1,3,5,7}:{(33,1),(34,1),(77,1),(79,1),(80,1),(130,1),(132,1),(133,1)}
        55:{1,4,6}:{(34,1),(78,1),(80,1),(81,1),(120,1),(166,1)}
        56:{1,3,4}:{(35,1),(83,1),(95,1)}
        57:{1,4,5,6}:{(37,1),(42,1),(84,1),(91,1),(139,1)}
        58:{1,3,5,7}:{(35,1),(39,1),(44,1),(82,1),(85,1),(86,1),(94,1),(136,1),(204,1)}
        59:{1,2,5}:{(35,1),(45,1),(83,1),(87,1)}
        60:{2,3,5,7}:{(36,1),(40,1),(46,1),(88,1),(89,1),(94,1),(148,1),(152,1),(175,1)}
        61:{1,2,5}:{(36,1),(47,1),(90,1),(182,1)}
        62:{3,5,6}:{(37,1),(38,1),(48,1),(91,1),(92,1)}
        63:{1,4,6}:{(38,1),(39,1),(85,1),(91,1)}
        64:{2,4,6}:{(38,1),(40,1),(88,1),(92,1)}
        65:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(51,1),(86,1),(89,1),(93,1),(94,1),(103,1),(108,1),(143,1),(145,1),(149,1),(152,1),(153,1),(176,1),(181,1),(182,1),(183,1),(186,1),(204,1)}
        66:{3,5}:{(41,1),(52,1),(95,1)}
        67:{3,5,7}:{(42,1),(43,1),(84,1),(96,1),(98,1)}
        68:{1,3,6,7}:{(43,1),(44,1),(49,1),(85,1),(97,1),(99,1),(104,1)}
        69:{2,6,7}:{(43,1),(98,1)}
        70:{1,2,7}:{(44,1),(45,1),(100,1)}
        71:{2,3,6}:{(45,1),(52,1),(87,1),(100,1),(101,1)}
        72:{1,2,4,7}:{(46,1),(47,1),(89,1),(102,1),(145,1),(199,1)}
        73:{1,3,6}:{(47,1),(52,1),(90,1),(102,1)}
        74:{1,5,7}:{(48,1),(49,1),(91,1)}
        75:{2,5,7}:{(48,1),(50,1),(92,1)}
        76:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(53,1),(93,1),(99,1),(103,1),(104,1),(107,1),(149,1),(151,1),(153,1)}
        77:{3,7}:{(51,1),(52,1)}
        78:{3,4,6}:{(52,1),(55,1),(95,1),(101,1),(105,1),(106,1),(155,1)}
        79:{1,3,6,7}:{(53,1),(54,1),(104,1),(107,1),(144,1),(155,1),(184,1)}
        80:{1,4,7}:{(54,1),(55,1),(105,1),(153,1)}
        81:{1,4,5}:{(55,1),(106,1),(182,1),(183,1)}
        82:{1,3,4,7}:{(56,1),(58,1),(109,1),(110,1),(123,1),(124,1),(169,1),(196,1)}
        83:{1,2,4}:{(56,1),(59,1),(111,1),(117,1)}
        84:{3,5,6}:{(57,1),(67,1),(112,1),(114,1)}
        85:{1,3,6}:{(58,1),(63,1),(115,1),(122,1),(209,1)}
        86:{1,2,5,7}:{(58,1),(59,1),(70,1),(110,1),(115,1),(116,1),(159,1)}
        87:{2,3,5}:{(59,1),(66,1),(71,1),(111,1),(117,1),(129,1)}
        88:{2,3,6}:{(60,1),(64,1),(118,1),(122,1),(172,1)}
        89:{1,2,5,7}:{(60,1),(61,1),(72,1),(118,1),(119,1),(168,1),(190,1)}
        90:{1,3,5}:{(61,1),(66,1),(73,1),(120,1)}
        91:{1,5,6}:{(62,1),(63,1),(74,1)}
        92:{2,5,6}:{(62,1),(64,1),(75,1)}
        93:{1,2,4,6}:{(63,1),(64,1),(65,1),(115,1),(118,1),(121,1),(122,1),(134,1),(164,1),(165,1),(166,1),(172,1),(198,1),(209,1)}
        94:{3,5,7}:{(65,1),(66,1),(77,1),(122,1),(123,1),(167,1),(169,1),(191,1)}
        95:{3,4}:{(66,1),(117,1),(120,1)}
        96:{3,4,7}:{(67,1),(112,1),(124,1),(125,1),(169,1)}
        97:{1,3,5,7}:{(67,1),(68,1),(74,1),(113,1),(124,1),(126,1),(130,1),(169,1)}
        98:{2,5,7}:{(67,1),(69,1),(114,1),(125,1)}
        99:{1,2,6,7}:{(68,1),(69,1),(70,1),(115,1),(126,1),(127,1),(209,1)}
       100:{2,3,7}:{(70,1),(71,1),(77,1),(128,1)}
       101:{2,4,6}:{(71,1),(78,1),(117,1),(128,1),(129,1),(172,1)}
       102:{1,3,7}:{(72,1),(73,1),(77,1),(206,1)}
       103:{1,2,5,7}:{(74,1),(75,1),(76,1),(121,1),(130,1),(133,1),(171,1)}
       104:{3,6,7}:{(76,1),(77,1),(122,1),(130,1),(169,1)}
       105:{3,4,7}:{(77,1),(78,1),(80,1),(128,1),(132,1)}
       106:{3,5}:{(78,1),(81,1),(129,1)}
       107:{1,4,6,7}:{(79,1),(80,1),(131,1),(133,1),(134,1),(165,1),(196,1),(209,1)}
       108:{1,4,5,7}:{(80,1),(81,1),(132,1),(133,1),(134,1),(173,1)}
       109:{1,3,4,6}:{(82,1),(85,1),(136,1),(137,1),(139,1),(147,1),(179,1),(201,1),(202,1)}
       110:{1,2,4,7}:{(82,1),(83,1),(86,1),(137,1),(138,1),(143,1)}
       111:{2,3}:{(83,1)}
       112:{3,4,6}:{(84,1),(96,1),(135,1),(139,1),(140,1),(179,1)}
       113:{1,3,5,6}:{(84,1),(85,1),(91,1),(97,1),(136,1),(139,1),(141,1),(146,1),(179,1)}
       114:{2,5,6}:{(84,1),(98,1),(140,1)}
       115:{1,2,6}:{(85,1),(86,1),(142,1)}
       116:{2,3,5,7}:{(86,1),(87,1),(94,1),(100,1),(138,1),(142,1),(143,1),(152,1),(177,1),(181,1)}
       117:{2,4}:{(87,1),(95,1)}
       118:{1,2,6}:{(88,1),(89,1),(144,1)}
       119:{1,3,5,7}:{(89,1),(90,1),(94,1),(102,1),(144,1),(145,1),(182,1),(184,1),(200,1),(204,1)}
       120:{1,4}:{(90,1),(95,1)}
       121:{1,2,5,6}:{(91,1),(92,1),(93,1),(103,1),(146,1),(156,1),(181,1),(182,1),(187,1)}
       122:{3,6}:{(93,1),(94,1)}
       123:{3,4,7}:{(94,1),(95,1),(143,1),(145,1),(147,1),(153,1),(201,1)}
       124:{1,4,7}:{(96,1),(97,1),(139,1),(153,1)}
       125:{2,4,7}:{(96,1),(98,1),(140,1),(148,1)}
       126:{1,2,5,7}:{(97,1),(98,1),(99,1),(141,1),(149,1),(150,1),(204,1)}
       127:{2,3,6,7}:{(99,1),(100,1),(104,1),(142,1),(150,1),(151,1),(205,1)}
       128:{2,4,7}:{(100,1),(101,1),(105,1),(152,1)}
       129:{2,5}:{(101,1),(106,1)}
       130:{3,5,7}:{(103,1),(104,1),(146,1),(153,1)}
       131:{3,4,6,7}:{(104,1),(105,1),(107,1),(147,1),(151,1),(153,1),(154,1),(155,1),(185,1),(188,1),(205,1)}
       132:{3,5,7}:{(105,1),(106,1),(108,1),(152,1),(155,1)}
       133:{1,5,7}:{(107,1),(154,1),(156,1),(182,1)}
       134:{1,4,6}:{(108,1),(155,1),(156,1),(188,1)}
       135:{3,4,5}:{(112,1),(157,1),(158,1),(191,1)}
       136:{1,3,5}:{(109,1),(157,1),(159,1),(167,1),(191,1),(208,1)}
       137:{1,2,4,6}:{(109,1),(110,1),(115,1),(159,1),(160,1),(164,1),(192,1)}
       138:{2,3,7}:{(110,1),(111,1),(160,1),(169,1)}
       139:{1,4,6}:{(112,1),(113,1),(124,1),(157,1),(166,1)}
       140:{2,4,6}:{(112,1),(114,1),(125,1),(158,1),(161,1)}
       141:{1,2,5,6}:{(113,1),(114,1),(115,1),(126,1),(159,1),(162,1),(163,1),(208,1),(209,1)}
       142:{2,3,6}:{(115,1),(116,1),(122,1),(164,1),(172,1)}
       143:{2,4,7}:{(116,1),(117,1),(123,1),(164,1),(192,1)}
       144:{1,3,6}:{(118,1),(119,1),(122,1),(165,1),(209,1)}
       145:{1,4,7}:{(119,1),(120,1),(123,1),(165,1),(207,1)}
       146:{3,5,6}:{(121,1),(122,1),(130,1),(166,1),(167,1)}
       147:{3,4,6}:{(122,1),(123,1),(164,1),(165,1),(166,1),(167,1)}
       148:{2,3,7}:{(125,1),(161,1),(168,1),(169,1)}
       149:{1,2,4,7}:{(124,1),(125,1),(126,1),(162,1),(168,1),(169,1),(170,1),(196,1)}
       150:{2,3,5,7}:{(126,1),(127,1),(130,1),(163,1),(169,1),(170,1),(171,1),(197,1)}
       151:{2,4,6,7}:{(127,1),(128,1),(131,1),(164,1),(170,1),(171,1),(172,1),(198,1)}
       152:{2,5,7}:{(128,1),(129,1),(132,1),(172,1)}
       153:{4,7}:{(130,1),(166,1)}
       154:{3,5,7}:{(131,1),(133,1),(167,1),(171,1),(173,1),(174,1)}
       155:{3,6}:{(132,1),(134,1),(172,1)}
       156:{1,5,6}:{(133,1),(134,1),(174,1),(209,1)}
       157:{1,4,5}:{(135,1),(136,1),(139,1),(183,1)}
       158:{2,4,5}:{(135,1),(140,1),(175,1)}
       159:{1,2,5}:{(136,1),(137,1),(177,1),(181,1)}
       160:{2,3,6}:{(137,1),(138,1),(177,1),(179,1)}
       161:{2,3,6}:{(140,1),(148,1),(175,1),(178,1),(179,1)}
       162:{1,2,4,6}:{(139,1),(140,1),(141,1),(149,1),(176,1),(178,1),(179,1),(180,1),(202,1)}
       163:{2,3,5,6}:{(141,1),(142,1),(146,1),(150,1),(177,1),(179,1),(180,1),(181,1),(187,1),(203,1),(205,1)}
       164:{2,4,6}:{(142,1),(143,1),(147,1),(181,1)}
       165:{1,4,6}:{(144,1),(145,1),(147,1),(182,1)}
       166:{4,6}:{(146,1),(153,1),(183,1)}
       167:{3,5}:{(147,1),(181,1),(182,1),(183,1)}
       168:{1,2,7}:{(148,1),(178,1),(184,1)}
       169:{3,7}:{(149,1),(179,1)}
       170:{2,4,7}:{(150,1),(153,1),(180,1),(185,1)}
       171:{2,5,7}:{(151,1),(154,1),(181,1),(187,1)}
       172:{2,6}:{(152,1),(155,1)}
       173:{4,5,7}:{(153,1),(154,1),(183,1),(188,1)}
       174:{3,5,6}:{(154,1),(155,1),(156,1),(187,1),(188,1),(205,1)}
       175:{2,3,5}:{(158,1),(161,1),(189,1),(190,1),(191,1)}
       176:{1,2,4,5}:{(157,1),(158,1),(159,1),(162,1),(190,1),(191,1),(192,1),(195,1),(207,1),(208,1)}
       177:{2,3,5}:{(159,1),(160,1),(191,1),(192,1)}
       178:{1,2,6}:{(161,1),(168,1),(190,1),(193,1)}
       179:{3,6}:{(162,1),(169,1),(191,1)}
       180:{2,4,6}:{(163,1),(166,1),(170,1),(192,1),(194,1),(195,1)}
       181:{2,5}:{(164,1),(167,1)}
       182:{1,5}:{(165,1),(167,1)}
       183:{4,5}:{(166,1),(167,1)}
       184:{1,3,7}:{(168,1),(169,1),(193,1),(196,1)}
       185:{3,4,7}:{(169,1),(170,1),(194,1),(196,1),(197,1)}
       186:{2,4,5,7}:{(170,1),(171,1),(173,1),(195,1),(197,1),(198,1)}
       187:{2,5,6}:{(171,1),(172,1),(174,1),(198,1)}
       188:{4,6}:{(173,1),(174,1)}
       189:{2,3,4}:{(175,1),(199,1),(201,1)}
       190:{1,2,5}:{(175,1),(178,1),(199,1),(200,1)}
       191:{3,5}:{(176,1),(179,1),(201,1)}
       192:{2,4}:{(177,1),(201,1)}
       193:{1,3,6}:{(178,1),(179,1),(184,1),(200,1),(202,1)}
       194:{3,4,6}:{(179,1),(180,1),(185,1),(201,1),(202,1),(203,1),(205,1)}
       195:{2,4,5}:{(180,1),(181,1),(183,1),(203,1)}
       196:{1,4,7}:{(184,1),(185,1),(202,1),(204,1)}
       197:{3,5,7}:{(185,1),(186,1),(203,1),(204,1),(205,1)}
       198:{2,4,6}:{(186,1),(187,1),(188,1),(205,1)}
       199:{1,2,4}:{(189,1),(190,1),(206,1),(207,1)}
       200:{1,3,5}:{(190,1),(191,1),(193,1),(206,1),(207,1),(208,1)}
       201:{3,4}:{(191,1),(192,1),(207,1)}
       202:{1,4,6}:{(193,1),(194,1),(196,1),(207,1),(208,1),(209,1)}
       203:{3,5}:{(194,1),(195,1),(208,1)}
       204:{1,5,7}:{(196,1),(197,1),(208,1),(209,1)}
       205:{3,6}:{(197,1),(198,1),(209,1)}
       206:{1,3}:{(199,1)}
       207:{1,4}:{(200,1),(201,1)}
       208:{1,5}:{(202,1),(203,1)}
       209:{1,6}:{(204,1),(205,1)}

 339 :   0:{2,5,6,7}:{(1,1),(2,1),(35,1),(39,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(5,1),(7,1),(19,1),(21,1)}
         2:{2,4,6,7}:{(0,1),(5,1),(6,1),(7,1)}
         3:{2,4,5,6}:{(6,1),(8,1),(20,1),(30,1),(58,1)}
         4:{1,5,6,7}:{(1,1),(9,1),(13,1),(38,1)}
         5:{4,6,7}:{(1,1),(10,1)}
         6:{2,4,5,7}:{(2,1),(3,1),(10,1),(12,1),(39,1),(44,1)}
         7:{3,6,7}:{(2,1),(12,1),(13,1)}
         8:{3,5,6}:{(3,1),(12,1),(15,1),(16,1)}
         9:{1,4,6,7}:{(4,1),(5,1),(18,1),(19,1)}
        10:{4,5,7}:{(5,1),(20,1),(21,1),(120,1)}
        11:{3,4,6,7}:{(5,1),(7,1),(19,1),(21,1),(22,1),(23,1),(25,1),(52,1),(56,1),(62,1),(120,1)}
        12:{3,5,7}:{(6,1),(7,1),(8,1),(25,1),(26,1)}
        13:{1,6,7}:{(7,1),(26,1)}
        14:{2,3,6,7}:{(7,1),(23,1),(27,1),(28,1),(62,1),(108,1),(114,1)}
        15:{3,4,6}:{(8,1),(24,1),(25,1),(29,1),(30,1),(73,1)}
        16:{1,5,6}:{(8,1),(26,1),(29,1)}
        17:{2,3,5,6}:{(8,1),(27,1),(30,1),(31,1),(58,1),(64,1),(73,1),(114,1),(116,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(32,1),(33,1),(38,1),(78,1)}
        19:{3,6,7}:{(9,1),(33,1),(35,1)}
        20:{4,5,6}:{(10,1),(36,1),(147,1)}
        21:{3,5,7}:{(10,1),(11,1),(36,1),(38,1),(39,1)}
        22:{1,4,6,7}:{(11,1),(13,1),(34,1),(38,1),(43,1),(78,1),(83,1)}
        23:{2,4,6,7}:{(11,1),(14,1),(35,1),(39,1),(44,1),(79,1),(84,1)}
        24:{3,4,5}:{(15,1),(41,1),(42,1),(93,1)}
        25:{3,4,7}:{(12,1),(15,1),(43,1),(44,1),(96,1)}
        26:{1,5,7}:{(12,1),(13,1),(16,1),(43,1)}
        27:{2,3,5,7}:{(12,1),(14,1),(17,1),(39,1),(44,1),(45,1),(89,1),(96,1)}
        28:{1,2,6,7}:{(13,1),(14,1),(45,1),(46,1),(139,1),(145,1),(194,1)}
        29:{1,4,6}:{(15,1),(16,1),(41,1),(43,1),(47,1)}
        30:{2,4,6}:{(15,1),(17,1),(42,1),(44,1),(147,1)}
        31:{1,2,5,6}:{(16,1),(17,1),(45,1),(49,1),(50,1),(92,1),(145,1),(158,1),(194,1)}
        32:{1,4,5,6}:{(18,1),(20,1),(51,1),(57,1),(104,1)}
        33:{3,5,7}:{(18,1),(19,1),(51,1),(52,1),(54,1)}
        34:{1,3,6,7}:{(19,1),(22,1),(53,1),(55,1),(62,1),(66,1),(113,1)}
        35:{2,6,7}:{(19,1),(54,1)}
        36:{3,5,6}:{(20,1),(21,1),(56,1),(57,1),(58,1)}
        37:{3,4,5,7}:{(21,1),(24,1),(25,1),(52,1),(56,1),(59,1),(60,1),(103,1),(119,1),(120,1),(174,1)}
        38:{1,5,7}:{(21,1),(22,1),(57,1)}
        39:{2,5,7}:{(21,1),(23,1),(58,1)}
        40:{1,2,4,6,7}:{(22,1),(23,1),(28,1),(55,1),(61,1),(62,1),(68,1),(70,1),(109,1),(111,1),(115,1),(120,1)}
        41:{1,4,5}:{(24,1),(29,1),(63,1)}
        42:{2,4,5}:{(24,1),(30,1),(64,1),(174,1)}
        43:{1,4,7}:{(25,1),(26,1),(29,1),(66,1)}
        44:{2,4,7}:{(25,1),(27,1),(30,1),(120,1)}
        45:{1,2,5,7}:{(26,1),(27,1),(28,1),(31,1),(68,1),(69,1),(178,1)}
        46:{1,3,6,7}:{(28,1),(62,1),(69,1),(70,1),(167,1),(172,1),(179,1)}
        47:{1,3,6}:{(29,1),(63,1),(66,1),(71,1),(73,1)}
        48:{2,3,4,6}:{(30,1),(64,1),(67,1),(72,1),(73,1),(114,1),(124,1),(130,1),(173,1)}
        49:{1,2,4,6}:{(29,1),(30,1),(31,1),(65,1),(68,1),(71,1),(73,1),(74,1),(130,1)}
        50:{1,3,5,6}:{(31,1),(69,1),(73,1),(74,1),(116,1),(123,1),(129,1),(131,1),(172,1),(179,1),(204,1)}
        51:{3,5,6}:{(32,1),(33,1),(75,1),(77,1)}
        52:{3,4,7}:{(33,1),(75,1),(78,1),(79,1),(140,1)}
        53:{1,3,5,7}:{(33,1),(34,1),(38,1),(76,1),(78,1),(80,1),(89,1),(140,1)}
        54:{2,5,7}:{(33,1),(35,1),(77,1),(79,1)}
        55:{1,2,6,7}:{(34,1),(35,1),(80,1),(81,1),(94,1),(144,1),(209,1)}
        56:{3,4,6}:{(36,1),(37,1),(83,1),(84,1),(146,1),(147,1)}
        57:{1,5,6}:{(36,1),(38,1),(83,1)}
        58:{2,5,6}:{(36,1),(39,1),(84,1)}
        59:{1,4,5,7}:{(37,1),(38,1),(41,1),(43,1),(78,1),(83,1),(86,1),(132,1)}
        60:{2,4,5,7}:{(37,1),(39,1),(42,1),(44,1),(79,1),(84,1),(87,1),(133,1)}
        61:{1,2,5,7}:{(38,1),(39,1),(40,1),(85,1),(89,1),(98,1),(142,1)}
        62:{3,6,7}:{(40,1),(89,1),(96,1),(140,1),(146,1)}
        63:{1,3,5}:{(41,1),(47,1),(82,1),(91,1),(93,1)}
        64:{2,3,5}:{(42,1),(48,1),(92,1),(93,1),(158,1),(193,1)}
        65:{1,2,4,5}:{(41,1),(42,1),(49,1),(91,1),(92,1),(93,1),(102,1),(153,1),(154,1),(158,1)}
        66:{1,3,7}:{(43,1),(47,1),(94,1),(96,1)}
        67:{2,3,4,7}:{(44,1),(48,1),(87,1),(95,1),(96,1),(150,1),(155,1),(180,1)}
        68:{1,2,4,7}:{(43,1),(44,1),(45,1),(49,1),(94,1),(96,1),(97,1),(155,1)}
        69:{1,3,5,7}:{(45,1),(46,1),(50,1),(89,1),(96,1),(97,1),(98,1),(156,1)}
        70:{1,4,6,7}:{(46,1),(90,1),(97,1),(98,1),(157,1),(188,1),(192,1),(209,1)}
        71:{1,2,6}:{(47,1),(91,1),(94,1),(99,1)}
        72:{1,2,4,6}:{(48,1),(92,1),(95,1),(100,1),(145,1),(154,1),(192,1)}
        73:{3,6}:{(49,1),(93,1),(96,1)}
        74:{1,4,6}:{(50,1),(97,1),(101,1),(102,1),(147,1),(154,1)}
        75:{3,4,6}:{(51,1),(52,1),(103,1),(104,1),(105,1),(164,1)}
        76:{1,3,5,6}:{(51,1),(53,1),(57,1),(104,1),(106,1),(113,1),(116,1),(159,1),(164,1)}
        77:{2,5,6}:{(51,1),(54,1),(105,1)}
        78:{1,4,7}:{(52,1),(53,1),(104,1),(120,1)}
        79:{2,4,7}:{(52,1),(54,1),(105,1),(108,1)}
        80:{1,2,5,7}:{(53,1),(54,1),(55,1),(106,1),(109,1),(110,1),(201,1)}
        81:{2,3,6,7}:{(55,1),(62,1),(110,1),(111,1),(125,1),(171,1),(202,1)}
        82:{1,3,4}:{(63,1),(112,1),(124,1)}
        83:{1,4,6}:{(56,1),(57,1),(59,1),(113,1)}
        84:{2,4,6}:{(56,1),(58,1),(60,1),(114,1)}
        85:{1,2,5,6}:{(57,1),(58,1),(61,1),(115,1),(116,1),(129,1),(170,1),(203,1),(204,1)}
        86:{1,3,5,7}:{(59,1),(63,1),(66,1),(107,1),(113,1),(117,1),(119,1),(159,1),(201,1)}
        87:{2,3,5,7}:{(60,1),(64,1),(67,1),(108,1),(114,1),(118,1),(119,1),(160,1),(178,1)}
        88:{1,2,4,5,7}:{(59,1),(60,1),(61,1),(65,1),(68,1),(109,1),(115,1),(117,1),(118,1),(119,1),(120,1),(128,1),(161,1),(169,1),(174,1),(175,1),(176,1),(178,1),(201,1),(203,1),(204,1)}
        89:{3,5,7}:{(61,1),(62,1),(116,1),(120,1)}
        90:{3,4,6,7}:{(62,1),(70,1),(111,1),(120,1),(121,1),(127,1),(168,1),(173,1),(177,1),(179,1),(202,1)}
        91:{1,2,5}:{(63,1),(71,1),(112,1),(122,1)}
        92:{1,2,5}:{(64,1),(72,1),(123,1),(204,1)}
        93:{3,5}:{(65,1),(73,1),(124,1)}
        94:{1,2,7}:{(66,1),(71,1),(125,1)}
        95:{1,2,4,7}:{(67,1),(72,1),(118,1),(126,1),(176,1),(195,1)}
        96:{3,7}:{(68,1),(73,1)}
        97:{1,4,7}:{(69,1),(74,1),(120,1),(127,1)}
        98:{1,5,7}:{(70,1),(121,1),(129,1),(204,1)}
        99:{2,3,6}:{(71,1),(73,1),(122,1),(125,1),(130,1)}
       100:{1,3,6}:{(72,1),(73,1),(123,1),(126,1)}
       101:{3,4,6}:{(73,1),(74,1),(124,1),(127,1),(130,1),(131,1),(179,1)}
       102:{1,4,5}:{(74,1),(131,1),(174,1),(204,1)}
       103:{3,4,5}:{(75,1),(132,1),(133,1),(183,1)}
       104:{1,4,6}:{(75,1),(76,1),(78,1),(132,1),(147,1)}
       105:{2,4,6}:{(75,1),(77,1),(79,1),(133,1),(135,1)}
       106:{1,2,5,6}:{(76,1),(77,1),(80,1),(136,1),(137,1),(144,1),(181,1),(208,1),(209,1)}
       107:{1,3,4,7}:{(78,1),(82,1),(86,1),(134,1),(138,1),(140,1),(150,1),(188,1)}
       108:{2,3,7}:{(79,1),(135,1),(139,1),(140,1)}
       109:{1,2,4,7}:{(78,1),(79,1),(80,1),(136,1),(139,1),(140,1),(141,1),(188,1)}
       110:{2,3,5,7}:{(80,1),(81,1),(89,1),(137,1),(140,1),(141,1),(142,1),(189,1)}
       111:{2,4,6,7}:{(81,1),(90,1),(141,1),(142,1),(155,1),(190,1),(191,1),(194,1)}
       112:{1,2,4}:{(82,1),(91,1),(143,1),(153,1)}
       113:{1,3,6}:{(83,1),(86,1),(144,1),(146,1),(209,1)}
       114:{2,3,6}:{(84,1),(87,1),(145,1),(146,1),(194,1)}
       115:{1,2,4,6}:{(83,1),(84,1),(85,1),(88,1),(144,1),(145,1),(146,1),(147,1),(157,1),(190,1),(191,1),(192,1),(194,1),(209,1)}
       116:{3,5,6}:{(85,1),(89,1),(146,1),(147,1),(193,1)}
       117:{1,2,5,7}:{(86,1),(91,1),(94,1),(138,1),(144,1),(148,1),(181,1)}
       118:{1,2,5,7}:{(87,1),(92,1),(95,1),(139,1),(145,1),(149,1),(182,1)}
       119:{3,5,7}:{(88,1),(93,1),(96,1),(140,1),(146,1),(150,1),(183,1),(193,1)}
       120:{4,7}:{(89,1),(147,1)}
       121:{3,5,7}:{(90,1),(98,1),(142,1),(151,1),(152,1),(193,1)}
       122:{2,3,5}:{(91,1),(93,1),(99,1),(143,1),(153,1),(158,1)}
       123:{1,3,5}:{(92,1),(93,1),(100,1),(154,1)}
       124:{3,4}:{(93,1),(153,1),(154,1)}
       125:{2,3,7}:{(94,1),(96,1),(99,1),(155,1)}
       126:{1,3,7}:{(95,1),(96,1),(100,1),(205,1)}
       127:{3,4,7}:{(96,1),(97,1),(101,1),(155,1),(156,1)}
       128:{1,4,5,7}:{(97,1),(98,1),(102,1),(151,1),(156,1),(157,1)}
       129:{1,5,6}:{(98,1),(152,1),(157,1),(209,1)}
       130:{2,4,6}:{(99,1),(101,1),(153,1),(155,1),(158,1),(194,1)}
       131:{3,5}:{(101,1),(102,1),(158,1)}
       132:{1,4,5}:{(103,1),(104,1),(159,1),(174,1)}
       133:{2,4,5}:{(103,1),(105,1),(160,1)}
       134:{1,3,4,6}:{(104,1),(107,1),(113,1),(159,1),(162,1),(164,1),(173,1),(198,1),(199,1)}
       135:{2,3,6}:{(105,1),(108,1),(160,1),(163,1),(164,1)}
       136:{1,2,4,6}:{(104,1),(105,1),(106,1),(109,1),(161,1),(163,1),(164,1),(165,1),(199,1)}
       137:{2,3,5,6}:{(106,1),(110,1),(116,1),(164,1),(165,1),(170,1),(171,1),(196,1),(200,1),(202,1),(203,1)}
       138:{1,2,4,7}:{(107,1),(112,1),(117,1),(162,1),(166,1),(175,1)}
       139:{1,2,7}:{(108,1),(163,1),(167,1)}
       140:{3,7}:{(109,1),(164,1)}
       141:{2,4,7}:{(110,1),(120,1),(165,1),(168,1)}
       142:{2,5,7}:{(111,1),(121,1),(170,1),(203,1)}
       143:{2,3}:{(112,1)}
       144:{1,2,6}:{(113,1),(117,1),(171,1)}
       145:{1,2,6}:{(114,1),(118,1),(172,1)}
       146:{3,6}:{(115,1),(119,1)}
       147:{4,6}:{(116,1),(120,1),(174,1)}
       148:{2,3,5,7}:{(117,1),(119,1),(122,1),(125,1),(166,1),(171,1),(175,1),(178,1),(196,1),(203,1)}
       149:{1,3,5,7}:{(118,1),(119,1),(123,1),(126,1),(167,1),(172,1),(176,1),(197,1),(201,1),(204,1)}
       150:{3,4,7}:{(119,1),(120,1),(124,1),(173,1),(175,1),(176,1),(198,1)}
       151:{4,5,7}:{(120,1),(121,1),(174,1),(177,1)}
       152:{3,5,6}:{(121,1),(129,1),(170,1),(177,1),(179,1),(202,1)}
       153:{2,4}:{(122,1),(124,1)}
       154:{1,4}:{(123,1),(124,1)}
       155:{2,4,7}:{(125,1),(127,1),(130,1),(178,1)}
       156:{3,5,7}:{(127,1),(128,1),(131,1),(178,1),(179,1)}
       157:{1,4,6}:{(128,1),(129,1),(177,1),(179,1)}
       158:{2,5}:{(130,1),(131,1)}
       159:{1,3,5}:{(132,1),(134,1),(181,1),(183,1),(193,1),(208,1)}
       160:{2,3,5}:{(133,1),(135,1),(180,1),(182,1),(183,1)}
       161:{1,2,4,5}:{(132,1),(133,1),(136,1),(181,1),(182,1),(183,1),(187,1),(206,1),(207,1),(208,1)}
       162:{1,2,4,6}:{(134,1),(138,1),(144,1),(181,1),(184,1),(191,1),(206,1)}
       163:{1,2,6}:{(135,1),(139,1),(182,1),(185,1)}
       164:{3,6}:{(136,1),(140,1),(183,1)}
       165:{2,4,6}:{(137,1),(141,1),(147,1),(186,1),(187,1),(206,1)}
       166:{2,3,7}:{(138,1),(140,1),(143,1),(184,1)}
       167:{1,3,7}:{(139,1),(140,1),(185,1),(188,1)}
       168:{3,4,7}:{(140,1),(141,1),(186,1),(188,1),(189,1)}
       169:{2,4,5,7}:{(141,1),(142,1),(151,1),(187,1),(189,1),(190,1)}
       170:{2,5,6}:{(142,1),(152,1),(190,1),(194,1)}
       171:{2,3,6}:{(144,1),(146,1),(148,1),(191,1),(194,1)}
       172:{1,3,6}:{(145,1),(146,1),(149,1),(192,1),(209,1)}
       173:{3,4,6}:{(146,1),(147,1),(150,1),(191,1),(192,1),(193,1)}
       174:{4,5}:{(147,1),(193,1)}
       175:{2,4,7}:{(148,1),(150,1),(153,1),(191,1),(206,1)}
       176:{1,4,7}:{(149,1),(150,1),(154,1),(192,1),(207,1)}
       177:{4,6}:{(151,1),(152,1)}
       178:{2,5,7}:{(155,1),(156,1),(158,1),(194,1)}
       179:{3,6}:{(156,1),(157,1),(194,1)}
       180:{2,3,4}:{(160,1),(195,1),(198,1)}
       181:{1,2,5}:{(159,1),(162,1),(196,1),(203,1)}
       182:{1,2,5}:{(160,1),(163,1),(195,1),(197,1)}
       183:{3,5}:{(161,1),(164,1),(198,1)}
       184:{2,3,6}:{(162,1),(164,1),(166,1),(196,1)}
       185:{1,3,6}:{(163,1),(164,1),(167,1),(197,1),(199,1)}
       186:{3,4,6}:{(164,1),(165,1),(168,1),(198,1),(199,1),(200,1),(202,1)}
       187:{2,4,5}:{(165,1),(174,1),(200,1),(203,1)}
       188:{1,4,7}:{(167,1),(168,1),(199,1),(201,1)}
       189:{3,5,7}:{(168,1),(169,1),(200,1),(201,1),(202,1)}
       190:{2,4,6}:{(169,1),(170,1),(177,1),(202,1)}
       191:{2,4,6}:{(171,1),(173,1),(175,1),(203,1)}
       192:{1,4,6}:{(172,1),(173,1),(176,1),(204,1)}
       193:{3,5}:{(173,1),(174,1),(203,1),(204,1)}
       194:{2,6}:{(178,1),(179,1)}
       195:{1,2,4}:{(180,1),(182,1),(205,1),(207,1)}
       196:{2,3,5}:{(181,1),(183,1),(184,1),(206,1)}
       197:{1,3,5}:{(182,1),(183,1),(185,1),(205,1),(207,1),(208,1)}
       198:{3,4}:{(183,1),(206,1),(207,1)}
       199:{1,4,6}:{(185,1),(186,1),(188,1),(207,1),(208,1),(209,1)}
       200:{3,5}:{(186,1),(187,1),(208,1)}
       201:{1,5,7}:{(188,1),(189,1),(208,1),(209,1)}
       202:{3,6}:{(189,1),(190,1),(209,1)}
       203:{2,5}:{(191,1),(193,1)}
       204:{1,5}:{(192,1),(193,1)}
       205:{1,3}:{(195,1)}
       206:{2,4}:{(196,1),(198,1)}
       207:{1,4}:{(197,1),(198,1)}
       208:{1,5}:{(199,1),(200,1)}
       209:{1,6}:{(201,1),(202,1)}

 340 :   0:{2,3,5,7}:{(1,1),(2,1),(3,1),(10,1),(14,1),(18,1),(44,1)}
         1:{1,2,5,7}:{(0,1),(5,1),(6,1),(7,1),(20,1),(29,1),(52,1)}
         2:{2,4,7}:{(0,1),(8,1),(9,1),(60,1),(95,1)}
         3:{2,3,6}:{(0,1),(7,1),(9,1),(21,1),(28,1),(100,1)}
         4:{2,4,5,7}:{(2,1),(10,1),(11,1),(18,1),(33,1),(46,1),(63,1)}
         5:{1,3,5,7}:{(1,1),(12,1),(13,1),(14,1),(36,1),(40,1),(44,1)}
         6:{1,2,4,7}:{(1,1),(2,1),(12,1),(14,1),(15,1),(16,1),(38,1),(41,1)}
         7:{1,2,6}:{(1,1),(3,1),(13,1),(34,1),(67,1),(103,1)}
         8:{3,4,7}:{(2,1),(10,1),(14,1),(16,1),(17,1),(63,1),(86,1)}
         9:{2,4,6}:{(2,1),(3,1),(17,1),(18,1),(87,1),(93,1)}
        10:{3,5,7}:{(4,1),(8,1),(20,1),(21,1),(31,1)}
        11:{2,4,6}:{(4,1),(21,1),(22,1),(50,1)}
        12:{1,4,7}:{(5,1),(24,1),(25,1),(60,1),(104,1)}
        13:{1,3,6}:{(5,1),(7,1),(25,1),(28,1),(53,1),(99,1)}
        14:{3,7}:{(6,1),(28,1)}
        15:{1,2,4,6}:{(6,1),(7,1),(9,1),(25,1),(28,1),(29,1),(30,1),(55,1),(57,1),(60,1),(82,1)}
        16:{1,4,7}:{(8,1),(20,1),(26,1),(30,1)}
        17:{3,4,6}:{(8,1),(9,1),(21,1),(28,1),(30,1),(31,1),(50,1),(60,1),(76,1),(83,1)}
        18:{2,5}:{(9,1),(31,1)}
        19:{2,4,6,7}:{(11,1),(32,1),(33,1),(63,1)}
        20:{1,5,7}:{(10,1),(16,1),(34,1),(45,1)}
        21:{3,6}:{(10,1),(11,1),(34,1)}
        22:{2,5,6}:{(11,1),(18,1),(33,1),(35,1),(87,1)}
        23:{1,4,5,7}:{(12,1),(36,1),(37,1),(40,1),(66,1),(70,1),(89,1)}
        24:{3,4,7}:{(12,1),(14,1),(36,1),(38,1),(39,1),(89,1),(101,1)}
        25:{1,4,6}:{(12,1),(13,1),(39,1),(40,1),(94,1),(102,1)}
        26:{1,3,7}:{(14,1),(16,1),(41,1),(42,1),(86,1)}
        27:{2,3,7}:{(14,1),(38,1),(41,1),(43,1),(101,1)}
        28:{3,6}:{(14,1),(15,1),(44,1),(92,1)}
        29:{1,2,5}:{(15,1),(18,1),(40,1),(44,1),(45,1),(69,1)}
        30:{1,4,6}:{(16,1),(17,1),(34,1),(42,1),(45,1),(72,1)}
        31:{3,5}:{(17,1),(18,1),(45,1),(46,1)}
        32:{3,6,7}:{(19,1),(21,1),(47,1),(48,1)}
        33:{2,5,7}:{(19,1),(22,1),(48,1),(95,1)}
        34:{1,6}:{(20,1),(21,1)}
        35:{3,5,6}:{(21,1),(22,1),(31,1),(48,1),(49,1),(50,1),(76,1)}
        36:{3,5,7}:{(23,1),(24,1),(52,1),(53,1),(56,1)}
        37:{1,4,6}:{(23,1),(53,1),(54,1),(80,1)}
        38:{2,4,7}:{(24,1),(27,1),(52,1),(55,1)}
        39:{3,4,6}:{(24,1),(25,1),(28,1),(53,1),(55,1),(56,1),(60,1),(80,1),(84,1),(97,1)}
        40:{1,5}:{(25,1),(56,1)}
        41:{1,2,7}:{(26,1),(27,1),(57,1),(95,1),(104,1)}
        42:{1,3,6}:{(26,1),(28,1),(30,1),(57,1),(58,1),(76,1)}
        43:{2,3,6}:{(27,1),(28,1),(55,1),(57,1),(59,1),(97,1)}
        44:{3,5}:{(28,1),(29,1),(60,1)}
        45:{1,5}:{(30,1),(31,1)}
        46:{4,5}:{(31,1),(50,1),(60,1)}
        47:{1,6,7}:{(32,1),(34,1),(62,1)}
        48:{3,5,7}:{(32,1),(33,1),(35,1),(62,1),(63,1),(86,1)}
        49:{1,5,6}:{(34,1),(35,1),(45,1),(62,1),(64,1)}
        50:{4,6}:{(35,1),(46,1),(63,1)}
        51:{1,4,6,7}:{(37,1),(65,1),(66,1),(89,1)}
        52:{2,5,7}:{(36,1),(38,1),(67,1),(69,1)}
        53:{3,6}:{(36,1),(37,1),(67,1)}
        54:{1,5,6}:{(37,1),(40,1),(66,1),(68,1),(102,1)}
        55:{2,4,6}:{(38,1),(39,1),(43,1),(67,1),(69,1),(73,1)}
        56:{3,5}:{(39,1),(40,1),(69,1),(70,1)}
        57:{1,2,6}:{(41,1),(42,1),(43,1),(71,1),(87,1),(102,1)}
        58:{1,3,5}:{(42,1),(44,1),(45,1),(71,1),(72,1),(74,1),(92,1)}
        59:{2,3,5}:{(43,1),(44,1),(69,1),(71,1),(73,1),(91,1),(92,1)}
        60:{4}:{(44,1)}
        61:{1,4,5}:{(45,1),(46,1),(64,1),(72,1),(74,1)}
        62:{1,5,7}:{(47,1),(48,1),(49,1),(75,1)}
        63:{4,7}:{(48,1),(50,1)}
        64:{1,4,6}:{(49,1),(50,1),(61,1),(75,1),(76,1)}
        65:{3,6,7}:{(51,1),(53,1),(77,1),(78,1)}
        66:{1,5,7}:{(51,1),(54,1),(78,1),(104,1)}
        67:{2,6}:{(52,1),(53,1)}
        68:{3,5,6}:{(53,1),(54,1),(56,1),(78,1),(79,1),(80,1),(97,1)}
        69:{2,5}:{(55,1),(56,1)}
        70:{4,5}:{(56,1),(60,1),(80,1)}
        71:{1,2,5}:{(57,1),(58,1),(59,1),(82,1),(85,1),(98,1)}
        72:{1,4}:{(58,1),(60,1),(83,1)}
        73:{2,4}:{(59,1),(60,1),(84,1)}
        74:{3,5}:{(61,1),(76,1),(83,1),(85,1)}
        75:{1,4,7}:{(62,1),(63,1),(64,1),(86,1)}
        76:{3,6}:{(64,1),(74,1),(86,1),(87,1)}
        77:{2,6,7}:{(65,1),(67,1),(88,1)}
        78:{3,5,7}:{(65,1),(66,1),(68,1),(88,1),(89,1),(101,1)}
        79:{2,5,6}:{(67,1),(68,1),(69,1),(88,1),(90,1)}
        80:{4,6}:{(68,1),(70,1),(89,1)}
        81:{2,4,5}:{(69,1),(70,1),(73,1),(90,1),(91,1)}
        82:{1,2,4}:{(71,1),(72,1),(73,1),(92,1),(93,1),(94,1),(103,1)}
        83:{3,4}:{(72,1),(74,1),(92,1),(93,1)}
        84:{3,4}:{(73,1),(91,1),(92,1),(94,1)}
        85:{2,5}:{(74,1),(87,1),(93,1)}
        86:{3,7}:{(75,1),(76,1),(95,1)}
        87:{2,6}:{(76,1),(85,1),(95,1)}
        88:{2,5,7}:{(77,1),(78,1),(79,1),(96,1)}
        89:{4,7}:{(78,1),(80,1)}
        90:{2,4,6}:{(79,1),(80,1),(81,1),(96,1),(97,1)}
        91:{3,5}:{(81,1),(84,1),(97,1),(98,1)}
        92:{3}:{(82,1)}
        93:{2,4}:{(83,1),(85,1),(100,1)}
        94:{1,4}:{(84,1),(98,1),(99,1)}
        95:{2,7}:{(86,1),(87,1)}
        96:{2,4,7}:{(88,1),(89,1),(90,1),(101,1)}
        97:{3,6}:{(90,1),(91,1),(101,1),(102,1)}
        98:{1,5}:{(91,1),(94,1),(102,1)}
        99:{1,3}:{(92,1),(94,1),(103,1)}
       100:{2,3}:{(92,1),(93,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{1,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{1,7}:{(101,1),(102,1)}

 341 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(2,1),(3,1)}
        2:{3,4}:{(1,1),(4,1)}
        3:{1,2,5}:{(1,1),(4,1),(5,1)}
        4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
        5:{1,2,6}:{(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:{1,2,7}:{(5,1),(10,1)}
        9:{4,6}:{(6,1),(7,1),(11,1),(12,1)}
       10:{3,7}:{(7,1),(8,1),(12,1)}
       11:{5,6}:{(9,1),(13,1)}
       12:{4,7}:{(9,1),(10,1),(13,1)}
       13:{5,7}:{(11,1),(12,1),(14,1)}
       14:{6,7}:{(13,1)}

 342 :   0:{1,3,5,7}:{(2,1),(3,1),(4,1),(15,1),(19,1),(23,1),(54,1)}
         1:{2,3,5,7}:{(2,1),(5,1),(6,1),(17,1),(19,1),(26,1),(54,1)}
         2:{1,2,5,7}:{(0,1),(1,1),(9,1),(10,1),(27,1),(31,1),(38,1)}
         3:{1,4,7}:{(0,1),(11,1),(12,1),(70,1),(100,1)}
         4:{1,3,6}:{(0,1),(10,1),(12,1),(28,1),(37,1),(102,1)}
         5:{2,4,7}:{(1,1),(13,1),(14,1),(70,1),(101,1)}
         6:{2,3,6}:{(1,1),(10,1),(14,1),(32,1),(37,1),(103,1)}
         7:{1,4,5,7}:{(3,1),(15,1),(16,1),(23,1),(46,1),(56,1),(75,1)}
         8:{2,4,5,7}:{(5,1),(17,1),(18,1),(26,1),(50,1),(58,1),(78,1)}
         9:{1,2,4,7}:{(2,1),(3,1),(5,1),(19,1),(20,1),(21,1),(24,1),(51,1)}
        10:{1,2,6}:{(2,1),(4,1),(6,1),(43,1),(47,1),(104,1)}
        11:{3,4,7}:{(3,1),(15,1),(19,1),(21,1),(22,1),(75,1),(93,1)}
        12:{1,4,6}:{(3,1),(4,1),(22,1),(23,1),(94,1),(99,1)}
        13:{3,4,7}:{(5,1),(17,1),(19,1),(24,1),(25,1),(78,1),(95,1)}
        14:{2,4,6}:{(5,1),(6,1),(25,1),(26,1),(96,1),(98,1)}
        15:{3,5,7}:{(7,1),(11,1),(27,1),(28,1),(40,1)}
        16:{1,4,6}:{(7,1),(28,1),(30,1),(62,1)}
        17:{3,5,7}:{(8,1),(13,1),(31,1),(32,1),(42,1)}
        18:{2,4,6}:{(8,1),(32,1),(34,1),(66,1)}
        19:{3,7}:{(9,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(10,1),(12,1),(14,1),(37,1),(38,1),(39,1),(41,1),(67,1),(70,1),(88,1)}
        21:{2,4,7}:{(11,1),(27,1),(36,1),(39,1)}
        22:{3,4,6}:{(11,1),(12,1),(28,1),(37,1),(39,1),(40,1),(62,1),(70,1),(85,1),(90,1)}
        23:{1,5}:{(12,1),(40,1)}
        24:{1,4,7}:{(13,1),(31,1),(35,1),(41,1)}
        25:{3,4,6}:{(13,1),(14,1),(32,1),(37,1),(41,1),(42,1),(66,1),(70,1),(87,1),(89,1)}
        26:{2,5}:{(14,1),(42,1)}
        27:{2,5,7}:{(15,1),(21,1),(43,1),(55,1)}
        28:{3,6}:{(15,1),(16,1),(43,1)}
        29:{1,4,6,7}:{(16,1),(44,1),(46,1),(75,1)}
        30:{1,5,6}:{(16,1),(23,1),(45,1),(46,1),(94,1)}
        31:{1,5,7}:{(17,1),(24,1),(47,1),(57,1)}
        32:{3,6}:{(17,1),(18,1),(47,1)}
        33:{2,4,6,7}:{(18,1),(48,1),(50,1),(78,1)}
        34:{2,5,6}:{(18,1),(26,1),(49,1),(50,1),(96,1)}
        35:{1,3,7}:{(19,1),(24,1),(51,1),(52,1),(95,1)}
        36:{2,3,7}:{(19,1),(21,1),(51,1),(53,1),(93,1)}
        37:{3,6}:{(19,1),(20,1),(54,1),(97,1)}
        38:{1,2,5}:{(20,1),(23,1),(26,1),(54,1),(55,1),(57,1)}
        39:{2,4,6}:{(21,1),(22,1),(43,1),(53,1),(55,1),(81,1)}
        40:{3,5}:{(22,1),(23,1),(55,1),(56,1)}
        41:{1,4,6}:{(24,1),(25,1),(47,1),(52,1),(57,1),(80,1)}
        42:{3,5}:{(25,1),(26,1),(57,1),(58,1)}
        43:{2,6}:{(27,1),(28,1)}
        44:{3,6,7}:{(28,1),(29,1),(59,1),(61,1)}
        45:{3,5,6}:{(28,1),(30,1),(40,1),(60,1),(61,1),(62,1),(85,1)}
        46:{1,5,7}:{(29,1),(30,1),(61,1),(100,1)}
        47:{1,6}:{(31,1),(32,1)}
        48:{3,6,7}:{(32,1),(33,1),(63,1),(65,1)}
        49:{3,5,6}:{(32,1),(34,1),(42,1),(64,1),(65,1),(66,1),(87,1)}
        50:{2,5,7}:{(33,1),(34,1),(65,1),(101,1)}
        51:{1,2,7}:{(35,1),(36,1),(67,1),(100,1),(101,1)}
        52:{1,3,6}:{(35,1),(37,1),(41,1),(67,1),(68,1),(87,1)}
        53:{2,3,6}:{(36,1),(37,1),(39,1),(67,1),(69,1),(85,1)}
        54:{3,5}:{(37,1),(38,1),(70,1)}
        55:{2,5}:{(39,1),(40,1)}
        56:{4,5}:{(40,1),(62,1),(70,1)}
        57:{1,5}:{(41,1),(42,1)}
        58:{4,5}:{(42,1),(66,1),(70,1)}
        59:{2,6,7}:{(43,1),(44,1),(73,1)}
        60:{2,5,6}:{(43,1),(45,1),(55,1),(73,1),(74,1)}
        61:{3,5,7}:{(44,1),(45,1),(46,1),(73,1),(75,1),(93,1)}
        62:{4,6}:{(45,1),(56,1),(75,1)}
        63:{1,6,7}:{(47,1),(48,1),(76,1)}
        64:{1,5,6}:{(47,1),(49,1),(57,1),(76,1),(77,1)}
        65:{3,5,7}:{(48,1),(49,1),(50,1),(76,1),(78,1),(95,1)}
        66:{4,6}:{(49,1),(58,1),(78,1)}
        67:{1,2,6}:{(51,1),(52,1),(53,1),(79,1),(94,1),(96,1)}
        68:{1,3,5}:{(52,1),(54,1),(57,1),(79,1),(80,1),(83,1),(97,1)}
        69:{2,3,5}:{(53,1),(54,1),(55,1),(79,1),(81,1),(82,1),(97,1)}
        70:{4}:{(54,1)}
        71:{2,4,5}:{(55,1),(56,1),(74,1),(81,1),(82,1)}
        72:{1,4,5}:{(57,1),(58,1),(77,1),(80,1),(83,1)}
        73:{2,5,7}:{(59,1),(60,1),(61,1),(84,1)}
        74:{2,4,6}:{(60,1),(62,1),(71,1),(84,1),(85,1)}
        75:{4,7}:{(61,1),(62,1)}
        76:{1,5,7}:{(63,1),(64,1),(65,1),(86,1)}
        77:{1,4,6}:{(64,1),(66,1),(72,1),(86,1),(87,1)}
        78:{4,7}:{(65,1),(66,1)}
        79:{1,2,5}:{(67,1),(68,1),(69,1),(88,1),(91,1),(92,1)}
        80:{1,4}:{(68,1),(70,1),(89,1)}
        81:{2,4}:{(69,1),(70,1),(90,1)}
        82:{3,5}:{(71,1),(85,1),(90,1),(91,1)}
        83:{3,5}:{(72,1),(87,1),(89,1),(92,1)}
        84:{2,4,7}:{(73,1),(74,1),(75,1),(93,1)}
        85:{3,6}:{(74,1),(82,1),(93,1),(94,1)}
        86:{1,4,7}:{(76,1),(77,1),(78,1),(95,1)}
        87:{3,6}:{(77,1),(83,1),(95,1),(96,1)}
        88:{1,2,4}:{(79,1),(80,1),(81,1),(97,1),(98,1),(99,1),(104,1)}
        89:{3,4}:{(80,1),(83,1),(97,1),(98,1)}
        90:{3,4}:{(81,1),(82,1),(97,1),(99,1)}
        91:{1,5}:{(82,1),(94,1),(99,1)}
        92:{2,5}:{(83,1),(96,1),(98,1)}
        93:{3,7}:{(84,1),(85,1),(100,1)}
        94:{1,6}:{(85,1),(91,1),(100,1)}
        95:{3,7}:{(86,1),(87,1),(101,1)}
        96:{2,6}:{(87,1),(92,1),(101,1)}
        97:{3}:{(88,1)}
        98:{2,4}:{(89,1),(92,1),(103,1)}
        99:{1,4}:{(90,1),(91,1),(102,1)}
       100:{1,7}:{(93,1),(94,1)}
       101:{2,7}:{(95,1),(96,1)}
       102:{1,3}:{(97,1),(99,1),(104,1)}
       103:{2,3}:{(97,1),(98,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

 343 :  0:{1,2,6,7}:{(3,1),(5,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(38,1),(39,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(17,1),(20,1),(21,1),(25,1),(38,1),(39,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{3,5,6}:{(1,1),(9,1),(10,1),(13,1),(26,1),(28,1),(45,1)}
        5:{1,2,5,7}:{(0,1),(1,1),(9,1),(12,1),(46,1),(47,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(30,1),(31,1),(35,1)}
        7:{3,5}:{(2,1),(11,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(18,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(18,1),(22,1)}
       10:{4,6}:{(4,1),(17,1),(18,1)}
       11:{3,4}:{(7,1),(20,1),(21,1),(43,1)}
       12:{1,2,4,7}:{(5,1),(6,1),(18,1),(22,1),(40,1),(41,1),(44,1)}
       13:{3,6}:{(6,1),(7,1),(22,1)}
       14:{1,3,5}:{(7,1),(20,1),(23,1),(25,1),(38,1),(43,1),(54,1)}
       15:{2,3,5}:{(7,1),(21,1),(24,1),(25,1),(39,1),(43,1),(54,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,5}:{(10,1),(28,1),(58,1)}
       18:{4,7}:{(9,1),(10,1)}
       19:{3,4,6}:{(10,1),(11,1),(13,1),(28,1),(29,1),(30,1),(31,1),(45,1),(50,1),(58,1),(61,1)}
       20:{1,4}:{(11,1),(14,1),(58,1)}
       21:{2,4}:{(11,1),(15,1),(58,1)}
       22:{3,7}:{(12,1),(13,1)}
       23:{1,3,6}:{(13,1),(14,1),(30,1),(33,1),(35,1),(50,1)}
       24:{2,3,6}:{(13,1),(15,1),(31,1),(34,1),(35,1),(50,1)}
       25:{1,2,5}:{(14,1),(15,1),(32,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(18,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,5}:{(17,1),(19,1),(38,1),(39,1),(62,1)}
       29:{3,4,7}:{(18,1),(19,1),(22,1),(37,1),(40,1),(41,1),(55,1),(60,1)}
       30:{1,4,6}:{(19,1),(20,1),(23,1),(38,1),(40,1),(51,1)}
       31:{2,4,6}:{(19,1),(21,1),(24,1),(39,1),(41,1),(52,1)}
       32:{1,2,4}:{(20,1),(21,1),(25,1),(43,1)}
       33:{1,3,7}:{(22,1),(23,1),(40,1),(44,1),(55,1)}
       34:{2,3,7}:{(22,1),(24,1),(41,1),(44,1),(55,1)}
       35:{1,2,6}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(45,1),(46,1),(47,1)}
       38:{1,5}:{(28,1),(30,1)}
       39:{2,5}:{(28,1),(31,1)}
       40:{1,4,7}:{(29,1),(30,1),(33,1),(46,1)}
       41:{2,4,7}:{(29,1),(31,1),(34,1),(47,1)}
       42:{1,2,4,6}:{(30,1),(31,1),(32,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       43:{3}:{(32,1)}
       44:{1,2,7}:{(33,1),(34,1),(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(40,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(41,1),(52,1)}
       48:{1,2,5}:{(38,1),(39,1),(42,1),(54,1),(62,1)}
       49:{1,2,4,7}:{(40,1),(41,1),(42,1),(44,1),(53,1),(55,1),(60,1)}
       50:{3,6}:{(42,1),(43,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,5}:{(48,1),(50,1),(58,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(54,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

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

 345 :   0:{1,2,4,6,7}:{(1,1),(2,1),(9,1),(10,1),(12,1),(16,1),(17,1),(42,1),(132,1)}
         1:{3,6,7}:{(0,1),(6,1),(31,1),(62,1),(136,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(7,1),(20,1),(21,1),(135,1)}
         3:{3,4,6,7}:{(1,1),(9,1),(10,1),(11,1),(16,1),(34,1),(40,1),(44,1),(46,1),(48,1),(75,1),(78,1),(80,1),(110,1)}
         4:{1,3,6,7}:{(1,1),(9,1),(12,1),(13,1),(34,1),(51,1),(78,1),(84,1),(113,1)}
         5:{2,3,6,7}:{(1,1),(10,1),(12,1),(14,1),(34,1),(52,1),(80,1),(85,1),(114,1)}
         6:{3,5,7}:{(1,1),(2,1),(15,1),(16,1),(138,1)}
         7:{1,2,5,6}:{(2,1),(15,1),(17,1),(36,1),(38,1),(90,1),(91,1)}
         8:{1,2,4,5,7}:{(2,1),(16,1),(17,1),(18,1),(37,1),(39,1),(42,1),(47,1),(49,1),(50,1),(53,1),(79,1),(81,1),(82,1),(90,1),(91,1)}
         9:{1,4,6,7}:{(3,1),(4,1),(20,1),(26,1),(57,1),(68,1),(70,1),(100,1),(122,1)}
        10:{2,4,6,7}:{(3,1),(5,1),(21,1),(28,1),(59,1),(65,1),(71,1),(99,1),(123,1)}
        11:{3,5,7}:{(3,1),(20,1),(21,1),(22,1),(23,1),(69,1),(121,1)}
        12:{1,2,6,7}:{(4,1),(5,1),(24,1),(73,1),(99,1),(100,1),(104,1),(125,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(20,1),(24,1),(25,1),(26,1),(54,1),(58,1),(62,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(21,1),(24,1),(27,1),(28,1),(54,1),(60,1),(62,1)}
        15:{3,5,6}:{(6,1),(7,1),(29,1),(31,1),(69,1)}
        16:{4,7}:{(6,1),(29,1),(139,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(29,1),(31,1),(57,1),(59,1),(70,1),(71,1),(73,1),(99,1),(100,1)}
        18:{3,5,7}:{(8,1),(30,1),(31,1),(62,1),(69,1),(101,1)}
        19:{1,2,4,6,7}:{(9,1),(10,1),(12,1),(34,1),(35,1),(42,1),(75,1),(76,1),(92,1)}
        20:{1,5,7}:{(9,1),(11,1),(36,1),(90,1),(130,1)}
        21:{2,5,7}:{(10,1),(11,1),(38,1),(91,1),(131,1)}
        22:{3,5,6}:{(11,1),(36,1),(38,1),(40,1),(78,1),(80,1)}
        23:{4,5,7}:{(11,1),(16,1),(40,1),(47,1),(75,1),(109,1)}
        24:{1,2,5,7}:{(12,1),(13,1),(14,1),(41,1),(42,1),(79,1),(81,1)}
        25:{1,3,5,6}:{(13,1),(15,1),(36,1),(41,1),(43,1),(51,1),(74,1),(78,1),(83,1),(86,1),(90,1),(113,1),(117,1),(120,1),(130,1),(138,1)}
        26:{1,4,7}:{(13,1),(16,1),(43,1),(44,1),(75,1)}
        27:{2,3,5,6}:{(14,1),(15,1),(38,1),(41,1),(45,1),(52,1),(74,1),(80,1),(83,1),(88,1),(91,1),(114,1),(118,1),(120,1),(131,1),(138,1)}
        28:{2,4,7}:{(14,1),(16,1),(45,1),(46,1),(75,1)}
        29:{4,6}:{(15,1),(16,1),(47,1)}
        30:{3,4,7}:{(16,1),(18,1),(48,1),(49,1),(50,1),(93,1),(116,1)}
        31:{3,6}:{(17,1),(18,1)}
        32:{1,3,5,7}:{(18,1),(49,1),(51,1),(53,1),(81,1),(84,1),(90,1),(93,1),(117,1),(120,1)}
        33:{2,3,5,7}:{(18,1),(50,1),(52,1),(53,1),(79,1),(85,1),(91,1),(93,1),(118,1),(120,1)}
        34:{3,6,7}:{(19,1),(54,1),(62,1),(96,1),(108,1)}
        35:{1,2,5,7}:{(19,1),(20,1),(21,1),(54,1),(55,1),(107,1)}
        36:{1,5,6}:{(20,1),(22,1),(57,1),(100,1)}
        37:{1,4,5,7}:{(20,1),(23,1),(26,1),(57,1),(58,1),(63,1)}
        38:{2,5,6}:{(21,1),(22,1),(59,1),(99,1)}
        39:{2,4,5,7}:{(21,1),(23,1),(28,1),(59,1),(60,1),(66,1)}
        40:{4,6}:{(22,1),(23,1)}
        41:{1,2,5,6}:{(24,1),(25,1),(27,1),(61,1),(73,1),(99,1),(100,1),(105,1),(106,1),(107,1),(125,1),(128,1),(135,1)}
        42:{1,2,4,7}:{(24,1),(26,1),(28,1),(61,1),(62,1),(65,1),(68,1),(104,1)}
        43:{1,4,6}:{(25,1),(26,1),(29,1),(63,1),(64,1),(94,1),(126,1),(129,1),(139,1)}
        44:{3,4,7}:{(26,1),(58,1),(62,1),(64,1),(65,1)}
        45:{2,4,6}:{(27,1),(28,1),(29,1),(66,1),(67,1),(94,1),(127,1),(129,1),(139,1)}
        46:{3,4,7}:{(28,1),(60,1),(62,1),(67,1),(68,1)}
        47:{4,5}:{(29,1),(69,1),(129,1)}
        48:{3,4,6}:{(29,1),(30,1),(31,1),(69,1),(70,1),(71,1),(108,1),(129,1)}
        49:{1,4,7}:{(30,1),(32,1),(70,1),(126,1),(129,1)}
        50:{2,4,7}:{(30,1),(33,1),(71,1),(127,1),(129,1)}
        51:{1,3,6}:{(31,1),(32,1),(70,1),(73,1),(100,1),(108,1)}
        52:{2,3,6}:{(31,1),(33,1),(71,1),(73,1),(99,1),(108,1)}
        53:{1,2,5,7}:{(32,1),(33,1),(72,1),(73,1),(104,1),(107,1),(128,1)}
        54:{3,5,7}:{(34,1),(35,1),(74,1),(75,1),(120,1)}
        55:{1,2,5,6}:{(35,1),(36,1),(38,1),(74,1),(76,1),(130,1),(131,1)}
        56:{1,2,4,5,7}:{(35,1),(37,1),(39,1),(42,1),(75,1),(76,1),(77,1),(79,1),(81,1),(82,1),(109,1),(111,1),(112,1),(115,1),(130,1),(131,1)}
        57:{1,4,6}:{(36,1),(37,1),(40,1),(78,1)}
        58:{3,5,7}:{(37,1),(44,1),(78,1),(79,1),(86,1)}
        59:{2,4,6}:{(38,1),(39,1),(40,1),(80,1)}
        60:{3,5,7}:{(39,1),(46,1),(80,1),(81,1),(88,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(43,1),(45,1),(82,1),(83,1),(87,1),(89,1),(119,1),(134,1)}
        62:{3,7}:{(42,1),(83,1)}
        63:{1,4,5}:{(43,1),(47,1),(86,1),(90,1),(109,1),(130,1)}
        64:{3,4,6}:{(43,1),(44,1),(78,1),(83,1),(86,1),(87,1),(116,1)}
        65:{2,4,7}:{(44,1),(79,1),(85,1),(87,1)}
        66:{2,4,5}:{(45,1),(47,1),(88,1),(91,1),(109,1),(131,1)}
        67:{3,4,6}:{(45,1),(46,1),(80,1),(83,1),(88,1),(89,1),(116,1)}
        68:{1,4,7}:{(46,1),(81,1),(84,1),(89,1)}
        69:{3,5}:{(47,1),(48,1),(90,1),(91,1)}
        70:{1,4,6}:{(48,1),(49,1),(51,1),(90,1)}
        71:{2,4,6}:{(48,1),(50,1),(52,1),(91,1)}
        72:{1,2,4,7}:{(49,1),(50,1),(53,1),(92,1),(93,1),(134,1)}
        73:{1,2,6}:{(51,1),(52,1),(53,1)}
        74:{3,5,6}:{(54,1),(55,1),(94,1),(96,1),(121,1)}
        75:{4,7}:{(54,1),(94,1),(129,1)}
        76:{1,2,4,6}:{(55,1),(56,1),(57,1),(59,1),(94,1),(96,1),(99,1),(100,1),(122,1),(123,1),(125,1)}
        77:{3,5,7}:{(56,1),(62,1),(95,1),(96,1),(101,1),(121,1)}
        78:{3,6}:{(57,1),(58,1),(99,1)}
        79:{2,5,7}:{(58,1),(65,1),(99,1),(105,1)}
        80:{3,6}:{(59,1),(60,1),(100,1)}
        81:{1,5,7}:{(60,1),(68,1),(100,1),(106,1)}
        82:{1,2,4,5}:{(61,1),(63,1),(66,1),(101,1),(105,1),(106,1),(107,1),(126,1),(127,1),(128,1),(129,1),(135,1),(139,1)}
        83:{3,6}:{(61,1),(62,1),(101,1),(137,1)}
        84:{1,3,7}:{(62,1),(68,1),(102,1),(104,1)}
        85:{2,3,7}:{(62,1),(65,1),(103,1),(104,1)}
        86:{3,5}:{(63,1),(64,1),(105,1)}
        87:{2,4,6}:{(64,1),(65,1),(99,1),(103,1),(105,1),(127,1)}
        88:{3,5}:{(66,1),(67,1),(106,1)}
        89:{1,4,6}:{(67,1),(68,1),(100,1),(102,1),(106,1),(126,1)}
        90:{1,5}:{(69,1),(70,1)}
        91:{2,5}:{(69,1),(71,1)}
        92:{1,2,4,6}:{(70,1),(71,1),(72,1),(73,1),(107,1),(108,1),(129,1)}
        93:{3,7}:{(72,1),(108,1),(137,1)}
        94:{4,6}:{(74,1),(75,1),(109,1)}
        95:{3,4,7}:{(75,1),(77,1),(110,1),(111,1),(112,1),(116,1),(133,1)}
        96:{3,6}:{(76,1),(77,1)}
        97:{1,3,5,7}:{(77,1),(81,1),(84,1),(111,1),(113,1),(115,1),(117,1),(130,1),(133,1),(138,1)}
        98:{2,3,5,7}:{(77,1),(79,1),(85,1),(112,1),(114,1),(115,1),(118,1),(131,1),(133,1),(138,1)}
        99:{2,6}:{(78,1),(79,1)}
       100:{1,6}:{(80,1),(81,1)}
       101:{3,5}:{(82,1),(83,1),(116,1)}
       102:{1,3,6}:{(83,1),(84,1),(89,1),(117,1),(119,1)}
       103:{2,3,6}:{(83,1),(85,1),(87,1),(118,1),(119,1)}
       104:{1,2,7}:{(84,1),(85,1),(119,1)}
       105:{2,5}:{(86,1),(87,1)}
       106:{1,5}:{(88,1),(89,1)}
       107:{1,2,5}:{(90,1),(91,1),(92,1),(120,1)}
       108:{3,6}:{(92,1),(93,1),(120,1)}
       109:{4,5}:{(94,1),(121,1),(139,1)}
       110:{3,4,6}:{(94,1),(95,1),(96,1),(121,1),(122,1),(123,1),(136,1),(139,1)}
       111:{1,4,7}:{(95,1),(97,1),(122,1),(126,1),(139,1)}
       112:{2,4,7}:{(95,1),(98,1),(123,1),(127,1),(139,1)}
       113:{1,3,6}:{(96,1),(97,1),(100,1),(122,1),(125,1),(136,1)}
       114:{2,3,6}:{(96,1),(98,1),(99,1),(123,1),(125,1),(136,1)}
       115:{1,2,5,7}:{(97,1),(98,1),(104,1),(124,1),(125,1),(128,1),(135,1)}
       116:{3,4}:{(101,1),(126,1),(127,1),(129,1),(137,1),(139,1)}
       117:{1,3,5}:{(101,1),(102,1),(106,1),(126,1),(128,1),(137,1)}
       118:{2,3,5}:{(101,1),(103,1),(105,1),(127,1),(128,1),(137,1)}
       119:{1,2,6}:{(102,1),(103,1),(104,1),(128,1)}
       120:{3,5}:{(107,1),(108,1),(129,1)}
       121:{3,5}:{(109,1),(110,1),(130,1),(131,1)}
       122:{1,4,6}:{(110,1),(111,1),(113,1),(130,1)}
       123:{2,4,6}:{(110,1),(112,1),(114,1),(131,1)}
       124:{1,2,4,7}:{(111,1),(112,1),(115,1),(132,1),(133,1),(134,1)}
       125:{1,2,6}:{(113,1),(114,1),(115,1)}
       126:{1,4}:{(116,1),(117,1)}
       127:{2,4}:{(116,1),(118,1)}
       128:{1,2,5}:{(117,1),(118,1),(119,1),(134,1)}
       129:{4}:{(120,1)}
       130:{1,5}:{(121,1),(122,1)}
       131:{2,5}:{(121,1),(123,1)}
       132:{1,2,4,6}:{(122,1),(123,1),(124,1),(125,1),(135,1),(136,1),(139,1)}
       133:{3,7}:{(124,1),(136,1),(137,1)}
       134:{1,2,4}:{(126,1),(127,1),(128,1),(137,1)}
       135:{1,2,5}:{(130,1),(131,1),(132,1),(138,1)}
       136:{3,6}:{(132,1),(133,1),(138,1)}
       137:{3}:{(134,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{4}:{(138,1)}

 346 :   0:{1,3,5,6}:{(1,1),(2,1),(3,1),(14,1),(17,1),(44,1),(54,1),(55,1),(90,1),(92,1),(123,1),(149,1)}
         1:{1,2,5,6}:{(0,1),(4,1),(5,1),(6,1),(32,1),(58,1),(67,1),(76,1),(100,1),(109,1),(137,1)}
         2:{1,4,6}:{(0,1),(7,1),(8,1),(9,1),(64,1),(112,1),(159,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(30,1),(33,1),(37,1),(75,1)}
         4:{2,3,5,6}:{(1,1),(11,1),(12,1),(14,1),(38,1),(45,1),(81,1),(82,1),(91,1),(92,1),(124,1),(149,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(19,1),(40,1),(48,1),(85,1)}
         6:{1,2,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(53,1),(80,1)}
         7:{1,4,5}:{(2,1),(17,1),(123,1),(125,1)}
         8:{3,4,6}:{(2,1),(14,1),(17,1),(19,1),(20,1),(43,1),(54,1)}
         9:{1,4,7}:{(2,1),(3,1),(20,1),(96,1)}
        10:{1,3,6,7}:{(3,1),(16,1),(21,1),(51,1),(54,1),(90,1),(156,1)}
        11:{2,4,6}:{(4,1),(22,1),(23,1),(24,1),(65,1),(112,1),(159,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(24,1),(25,1),(30,1),(59,1),(63,1),(75,1)}
        13:{1,2,4,5}:{(5,1),(7,1),(22,1),(26,1),(32,1),(58,1),(64,1),(65,1),(67,1),(137,1),(159,1)}
        14:{3,6}:{(5,1),(26,1),(30,1),(104,1)}
        15:{1,2,4,7}:{(5,1),(6,1),(9,1),(24,1),(30,1),(35,1),(61,1),(72,1)}
        16:{1,2,6,7}:{(6,1),(10,1),(25,1),(76,1),(100,1),(109,1),(165,1)}
        17:{3,5}:{(7,1),(8,1),(32,1)}
        18:{1,4,5,7}:{(7,1),(9,1),(33,1),(34,1),(37,1),(79,1)}
        19:{2,4,6}:{(8,1),(29,1),(32,1),(35,1),(65,1),(76,1)}
        20:{3,4,7}:{(8,1),(9,1),(30,1),(33,1),(35,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(34,1),(36,1),(37,1),(106,1),(145,1),(146,1)}
        22:{2,4,5}:{(11,1),(38,1),(124,1),(125,1)}
        23:{3,4,6}:{(11,1),(14,1),(38,1),(40,1),(41,1),(43,1),(81,1)}
        24:{2,4,7}:{(11,1),(12,1),(41,1),(96,1)}
        25:{2,3,6,7}:{(12,1),(16,1),(42,1),(51,1),(81,1),(91,1),(157,1)}
        26:{3,5}:{(13,1),(14,1),(43,1)}
        27:{1,2,4,5,7}:{(13,1),(15,1),(18,1),(39,1),(46,1),(47,1),(52,1),(53,1),(80,1),(86,1),(87,1),(89,1),(96,1),(99,1),(120,1),(123,1),(124,1),(125,1),(129,1),(133,1),(148,1),(150,1)}
        28:{1,3,6}:{(14,1),(40,1),(44,1),(48,1),(49,1)}
        29:{2,3,6}:{(14,1),(19,1),(45,1),(48,1),(50,1)}
        30:{3,7}:{(14,1),(15,1)}
        31:{1,2,4,6,7}:{(15,1),(16,1),(21,1),(42,1),(47,1),(51,1),(52,1),(56,1),(83,1),(93,1),(96,1),(122,1),(129,1)}
        32:{2,5}:{(17,1),(19,1)}
        33:{3,5,7}:{(17,1),(18,1),(20,1),(53,1),(54,1)}
        34:{1,4,6}:{(18,1),(54,1),(55,1),(98,1)}
        35:{2,4,7}:{(19,1),(20,1),(50,1),(53,1)}
        36:{3,4,6,7}:{(20,1),(21,1),(51,1),(54,1),(56,1),(57,1),(88,1),(96,1),(98,1),(131,1),(132,1)}
        37:{1,5,7}:{(21,1),(55,1),(57,1),(123,1)}
        38:{3,5}:{(22,1),(23,1),(58,1)}
        39:{2,4,5,7}:{(22,1),(24,1),(59,1),(60,1),(63,1),(103,1)}
        40:{1,4,6}:{(23,1),(28,1),(58,1),(61,1),(64,1),(100,1)}
        41:{3,4,7}:{(23,1),(24,1),(30,1),(59,1),(61,1)}
        42:{2,4,6,7}:{(24,1),(25,1),(60,1),(62,1),(63,1),(107,1),(144,1),(158,1)}
        43:{3,4}:{(26,1),(64,1),(65,1),(104,1),(159,1)}
        44:{1,3,5}:{(26,1),(28,1),(58,1),(64,1),(67,1),(104,1)}
        45:{2,3,5}:{(26,1),(29,1),(32,1),(65,1),(67,1),(104,1)}
        46:{3,5,7}:{(26,1),(27,1),(30,1),(66,1),(70,1),(108,1),(143,1),(160,1)}
        47:{1,2,4,6}:{(27,1),(34,1),(60,1),(70,1),(71,1),(76,1),(100,1),(106,1),(107,1),(109,1),(112,1),(116,1),(134,1),(146,1),(158,1)}
        48:{1,2,6}:{(28,1),(29,1),(67,1),(72,1)}
        49:{1,3,7}:{(28,1),(30,1),(61,1),(72,1)}
        50:{2,3,7}:{(29,1),(30,1),(35,1),(72,1)}
        51:{3,6,7}:{(30,1),(31,1),(70,1),(75,1),(136,1),(143,1)}
        52:{1,2,5,7}:{(31,1),(37,1),(63,1),(71,1),(75,1),(78,1),(102,1),(137,1)}
        53:{2,5,7}:{(32,1),(33,1),(35,1),(76,1)}
        54:{3,6}:{(33,1),(34,1),(76,1)}
        55:{1,5,6}:{(34,1),(37,1),(77,1),(146,1)}
        56:{2,4,6,7}:{(35,1),(36,1),(74,1),(76,1),(78,1),(107,1),(115,1),(116,1)}
        57:{3,5,7}:{(36,1),(37,1),(77,1),(78,1),(79,1),(108,1)}
        58:{1,5}:{(38,1),(40,1)}
        59:{3,5,7}:{(38,1),(39,1),(41,1),(80,1),(81,1)}
        60:{2,4,6}:{(39,1),(81,1),(82,1),(119,1)}
        61:{1,4,7}:{(40,1),(41,1),(49,1),(80,1)}
        62:{3,4,6,7}:{(41,1),(42,1),(51,1),(81,1),(83,1),(84,1),(88,1),(96,1),(119,1),(130,1),(147,1)}
        63:{2,5,7}:{(42,1),(82,1),(84,1),(124,1)}
        64:{1,4}:{(43,1),(44,1)}
        65:{2,4}:{(43,1),(45,1)}
        66:{3,4,7}:{(43,1),(46,1),(86,1),(87,1),(88,1),(96,1),(121,1),(166,1)}
        67:{1,2,5}:{(44,1),(45,1),(48,1),(85,1)}
        68:{1,3,5,7}:{(44,1),(46,1),(49,1),(80,1),(86,1),(89,1),(90,1),(121,1),(123,1),(133,1),(149,1),(156,1),(167,1)}
        69:{2,3,5,7}:{(45,1),(46,1),(50,1),(53,1),(87,1),(89,1),(91,1),(121,1),(124,1),(148,1),(149,1),(157,1),(168,1)}
        70:{3,6}:{(46,1),(47,1)}
        71:{1,2,5,6}:{(47,1),(52,1),(55,1),(82,1),(92,1),(97,1),(118,1),(123,1),(124,1)}
        72:{1,2,7}:{(48,1),(49,1),(50,1)}
        73:{1,3,6,7}:{(49,1),(51,1),(83,1),(90,1),(93,1),(94,1),(147,1)}
        74:{2,3,6,7}:{(50,1),(51,1),(56,1),(91,1),(93,1),(95,1),(132,1)}
        75:{3,5,7}:{(51,1),(52,1),(92,1),(96,1),(149,1)}
        76:{2,6}:{(53,1),(54,1)}
        77:{3,5,6}:{(54,1),(55,1),(57,1),(97,1),(98,1),(132,1)}
        78:{2,5,7}:{(56,1),(57,1),(97,1),(124,1)}
        79:{4,5,7}:{(57,1),(96,1),(98,1),(125,1)}
        80:{1,5,7}:{(58,1),(59,1),(61,1),(100,1)}
        81:{3,6}:{(59,1),(60,1),(100,1)}
        82:{2,5,6}:{(60,1),(63,1),(101,1),(158,1)}
        83:{1,4,6,7}:{(61,1),(62,1),(73,1),(100,1),(102,1),(106,1),(114,1),(134,1)}
        84:{3,5,7}:{(62,1),(63,1),(101,1),(102,1),(103,1),(108,1)}
        85:{1,2,4}:{(64,1),(65,1),(67,1),(104,1)}
        86:{1,4,7}:{(64,1),(66,1),(68,1),(106,1),(159,1),(170,1)}
        87:{2,4,7}:{(65,1),(66,1),(69,1),(107,1),(159,1),(171,1)}
        88:{3,4,6}:{(66,1),(70,1),(106,1),(107,1),(108,1),(112,1),(136,1),(159,1)}
        89:{1,2,5,7}:{(67,1),(68,1),(69,1),(72,1),(105,1),(109,1),(137,1),(165,1),(172,1)}
        90:{1,3,6}:{(68,1),(70,1),(100,1),(106,1),(109,1),(136,1),(146,1)}
        91:{2,3,6}:{(69,1),(70,1),(76,1),(107,1),(109,1),(136,1),(158,1)}
        92:{3,5,6}:{(70,1),(71,1),(75,1),(108,1),(112,1)}
        93:{1,2,6,7}:{(72,1),(73,1),(74,1),(109,1),(113,1),(146,1),(158,1)}
        94:{1,3,5,7}:{(73,1),(75,1),(102,1),(110,1),(113,1),(114,1),(135,1),(143,1)}
        95:{2,3,5,7}:{(74,1),(75,1),(78,1),(111,1),(113,1),(115,1),(117,1),(143,1)}
        96:{4,7}:{(75,1),(112,1),(159,1)}
        97:{2,5,6}:{(76,1),(77,1),(78,1),(116,1)}
        98:{4,6}:{(77,1),(79,1)}
        99:{2,4,5,7}:{(78,1),(79,1),(115,1),(116,1),(117,1),(139,1)}
       100:{1,6}:{(80,1),(81,1)}
       101:{3,5,6}:{(81,1),(82,1),(84,1),(118,1),(119,1),(147,1)}
       102:{1,5,7}:{(83,1),(84,1),(118,1),(123,1)}
       103:{4,5,7}:{(84,1),(96,1),(119,1),(125,1)}
       104:{3}:{(85,1)}
       105:{1,2,4,7}:{(85,1),(86,1),(87,1),(89,1),(121,1),(122,1),(173,1)}
       106:{1,4,6}:{(86,1),(88,1),(90,1),(123,1)}
       107:{2,4,6}:{(87,1),(88,1),(91,1),(124,1)}
       108:{3,5}:{(88,1),(123,1),(124,1),(125,1)}
       109:{1,2,6}:{(89,1),(90,1),(91,1)}
       110:{1,3,5,6}:{(90,1),(92,1),(94,1),(118,1),(123,1),(126,1),(127,1),(147,1),(149,1),(151,1),(153,1),(167,1)}
       111:{2,3,5,6}:{(91,1),(92,1),(95,1),(97,1),(124,1),(126,1),(128,1),(132,1),(149,1),(152,1),(153,1),(168,1)}
       112:{4,6}:{(92,1),(96,1),(125,1)}
       113:{1,2,5,7}:{(93,1),(94,1),(95,1),(126,1),(129,1),(133,1),(148,1)}
       114:{1,4,7}:{(94,1),(96,1),(127,1),(130,1)}
       115:{2,4,7}:{(95,1),(96,1),(128,1),(131,1)}
       116:{2,4,6}:{(97,1),(98,1),(99,1),(132,1)}
       117:{3,5,7}:{(99,1),(131,1),(132,1),(133,1),(152,1)}
       118:{1,5,6}:{(100,1),(101,1),(102,1),(134,1)}
       119:{4,6}:{(101,1),(103,1)}
       120:{1,4,5,7}:{(102,1),(103,1),(114,1),(134,1),(135,1),(138,1)}
       121:{3,7}:{(104,1),(105,1),(136,1),(174,1)}
       122:{1,2,4,6}:{(105,1),(106,1),(107,1),(109,1),(136,1),(137,1),(159,1)}
       123:{1,5}:{(106,1),(108,1)}
       124:{2,5}:{(107,1),(108,1)}
       125:{4,5}:{(108,1),(112,1),(159,1)}
       126:{1,2,5,6}:{(109,1),(110,1),(111,1),(113,1),(137,1),(140,1),(146,1),(158,1),(161,1),(162,1),(172,1)}
       127:{1,4,6}:{(110,1),(112,1),(114,1),(138,1),(141,1),(159,1),(170,1)}
       128:{2,4,6}:{(111,1),(112,1),(115,1),(139,1),(142,1),(159,1),(171,1)}
       129:{1,2,4,7}:{(113,1),(114,1),(115,1),(140,1),(143,1),(144,1),(145,1),(165,1)}
       130:{3,4,7}:{(114,1),(135,1),(141,1),(143,1),(144,1)}
       131:{3,4,7}:{(115,1),(117,1),(142,1),(143,1),(145,1)}
       132:{3,6}:{(116,1),(117,1),(146,1)}
       133:{1,5,7}:{(117,1),(145,1),(146,1),(162,1)}
       134:{1,4,6}:{(118,1),(119,1),(120,1),(147,1)}
       135:{3,5,7}:{(120,1),(130,1),(147,1),(148,1),(151,1)}
       136:{3,6}:{(121,1),(122,1),(149,1)}
       137:{1,2,5}:{(122,1),(123,1),(124,1),(149,1)}
       138:{1,4,5}:{(123,1),(125,1),(127,1),(151,1)}
       139:{2,4,5}:{(124,1),(125,1),(128,1),(152,1)}
       140:{1,2,4,6}:{(126,1),(127,1),(128,1),(129,1),(150,1),(153,1),(154,1),(155,1),(169,1),(173,1)}
       141:{3,4,6}:{(127,1),(130,1),(147,1),(151,1),(153,1),(154,1),(166,1)}
       142:{3,4,6}:{(128,1),(131,1),(132,1),(152,1),(153,1),(155,1),(166,1)}
       143:{3,7}:{(129,1),(153,1)}
       144:{2,4,7}:{(130,1),(148,1),(154,1),(157,1)}
       145:{1,4,7}:{(131,1),(133,1),(155,1),(156,1)}
       146:{1,6}:{(132,1),(133,1)}
       147:{3,6}:{(134,1),(135,1),(158,1)}
       148:{2,5,7}:{(135,1),(144,1),(158,1),(161,1)}
       149:{3,5}:{(136,1),(137,1),(159,1)}
       150:{1,2,4,5}:{(137,1),(138,1),(139,1),(140,1),(159,1),(160,1),(161,1),(162,1),(170,1),(171,1),(172,1)}
       151:{3,5}:{(138,1),(141,1),(161,1)}
       152:{3,5}:{(139,1),(142,1),(162,1)}
       153:{3,6}:{(140,1),(143,1),(160,1),(174,1)}
       154:{2,4,6}:{(141,1),(144,1),(158,1),(161,1),(164,1),(171,1)}
       155:{1,4,6}:{(142,1),(145,1),(146,1),(162,1),(163,1),(170,1)}
       156:{1,3,7}:{(143,1),(145,1),(163,1),(165,1)}
       157:{2,3,7}:{(143,1),(144,1),(164,1),(165,1)}
       158:{2,6}:{(147,1),(148,1)}
       159:{4}:{(149,1)}
       160:{3,5}:{(150,1),(153,1),(166,1)}
       161:{2,5}:{(151,1),(154,1)}
       162:{1,5}:{(152,1),(155,1)}
       163:{1,3,6}:{(153,1),(155,1),(156,1),(167,1),(169,1)}
       164:{2,3,6}:{(153,1),(154,1),(157,1),(168,1),(169,1)}
       165:{1,2,7}:{(156,1),(157,1),(169,1)}
       166:{3,4}:{(159,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(160,1),(162,1),(163,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(160,1),(161,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(163,1),(164,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

 347 :   0:{1,3,5,7}:{(2,1),(3,1),(4,1),(5,1),(18,1),(22,1),(48,1)}
         1:{1,4,5,7}:{(3,1),(5,1),(6,1),(22,1),(24,1),(50,1),(52,1)}
         2:{1,2,5,7}:{(0,1),(7,1),(8,1),(9,1),(13,1),(33,1),(55,1)}
         3:{1,4,7}:{(0,1),(10,1),(11,1),(63,1),(88,1)}
         4:{1,3,6}:{(0,1),(9,1),(11,1),(14,1),(32,1),(99,1)}
         5:{3,5,7}:{(1,1),(10,1),(13,1),(14,1),(35,1)}
         6:{1,4,6}:{(1,1),(14,1),(15,1),(39,1)}
         7:{2,3,5,7}:{(2,1),(16,1),(17,1),(18,1),(40,1),(44,1),(48,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(16,1),(18,1),(19,1),(20,1),(42,1),(45,1)}
         9:{1,2,6}:{(2,1),(4,1),(17,1),(25,1),(69,1),(103,1)}
        10:{3,4,7}:{(3,1),(5,1),(18,1),(20,1),(21,1),(52,1),(77,1)}
        11:{1,4,6}:{(3,1),(4,1),(21,1),(22,1),(78,1),(95,1)}
        12:{1,4,6,7}:{(6,1),(23,1),(24,1),(52,1)}
        13:{2,5,7}:{(5,1),(20,1),(25,1),(49,1)}
        14:{3,6}:{(5,1),(6,1),(25,1)}
        15:{1,5,6}:{(6,1),(22,1),(24,1),(26,1),(78,1)}
        16:{2,4,7}:{(7,1),(28,1),(29,1),(63,1),(104,1)}
        17:{2,3,6}:{(7,1),(9,1),(29,1),(32,1),(56,1),(100,1)}
        18:{3,7}:{(8,1),(32,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(11,1),(29,1),(32,1),(33,1),(34,1),(58,1),(60,1),(63,1),(84,1)}
        20:{2,4,7}:{(10,1),(13,1),(31,1),(34,1)}
        21:{3,4,6}:{(10,1),(11,1),(14,1),(32,1),(34,1),(35,1),(39,1),(63,1),(66,1),(86,1)}
        22:{1,5}:{(11,1),(35,1)}
        23:{3,6,7}:{(12,1),(14,1),(36,1),(37,1)}
        24:{1,5,7}:{(12,1),(15,1),(37,1),(88,1)}
        25:{2,6}:{(13,1),(14,1)}
        26:{3,5,6}:{(14,1),(15,1),(35,1),(37,1),(38,1),(39,1),(66,1)}
        27:{2,4,5,7}:{(16,1),(40,1),(41,1),(44,1),(68,1),(72,1),(90,1)}
        28:{3,4,7}:{(16,1),(18,1),(40,1),(42,1),(43,1),(90,1),(101,1)}
        29:{2,4,6}:{(16,1),(17,1),(43,1),(44,1),(94,1),(102,1)}
        30:{1,3,7}:{(18,1),(42,1),(45,1),(46,1),(101,1)}
        31:{2,3,7}:{(18,1),(20,1),(45,1),(47,1),(77,1)}
        32:{3,6}:{(18,1),(19,1),(48,1),(93,1)}
        33:{1,2,5}:{(19,1),(22,1),(44,1),(48,1),(49,1),(71,1)}
        34:{2,4,6}:{(20,1),(21,1),(25,1),(47,1),(49,1),(75,1)}
        35:{3,5}:{(21,1),(22,1),(49,1),(50,1)}
        36:{2,6,7}:{(23,1),(25,1),(51,1)}
        37:{3,5,7}:{(23,1),(24,1),(26,1),(51,1),(52,1),(77,1)}
        38:{2,5,6}:{(25,1),(26,1),(49,1),(51,1),(53,1)}
        39:{4,6}:{(26,1),(50,1),(52,1)}
        40:{3,5,7}:{(27,1),(28,1),(55,1),(56,1),(59,1)}
        41:{2,4,6}:{(27,1),(56,1),(57,1),(82,1)}
        42:{1,4,7}:{(28,1),(30,1),(55,1),(58,1)}
        43:{3,4,6}:{(28,1),(29,1),(32,1),(56,1),(58,1),(59,1),(63,1),(82,1),(85,1),(97,1)}
        44:{2,5}:{(29,1),(59,1)}
        45:{1,2,7}:{(30,1),(31,1),(60,1),(88,1),(104,1)}
        46:{1,3,6}:{(30,1),(32,1),(58,1),(60,1),(61,1),(97,1)}
        47:{2,3,6}:{(31,1),(32,1),(34,1),(60,1),(62,1),(66,1)}
        48:{3,5}:{(32,1),(33,1),(63,1)}
        49:{2,5}:{(34,1),(35,1)}
        50:{4,5}:{(35,1),(39,1),(63,1)}
        51:{2,5,7}:{(36,1),(37,1),(38,1),(65,1)}
        52:{4,7}:{(37,1),(39,1)}
        53:{2,4,6}:{(38,1),(39,1),(64,1),(65,1),(66,1)}
        54:{2,4,6,7}:{(41,1),(67,1),(68,1),(90,1)}
        55:{1,5,7}:{(40,1),(42,1),(69,1),(71,1)}
        56:{3,6}:{(40,1),(41,1),(69,1)}
        57:{2,5,6}:{(41,1),(44,1),(68,1),(70,1),(102,1)}
        58:{1,4,6}:{(42,1),(43,1),(46,1),(69,1),(71,1),(74,1)}
        59:{3,5}:{(43,1),(44,1),(71,1),(72,1)}
        60:{1,2,6}:{(45,1),(46,1),(47,1),(73,1),(78,1),(102,1)}
        61:{1,3,5}:{(46,1),(48,1),(71,1),(73,1),(74,1),(92,1),(93,1)}
        62:{2,3,5}:{(47,1),(48,1),(49,1),(73,1),(75,1),(76,1),(93,1)}
        63:{4}:{(48,1)}
        64:{2,4,5}:{(49,1),(50,1),(53,1),(75,1),(76,1)}
        65:{2,4,7}:{(51,1),(52,1),(53,1),(77,1)}
        66:{3,6}:{(53,1),(76,1),(77,1),(78,1)}
        67:{3,6,7}:{(54,1),(56,1),(79,1),(80,1)}
        68:{2,5,7}:{(54,1),(57,1),(80,1),(104,1)}
        69:{1,6}:{(55,1),(56,1)}
        70:{3,5,6}:{(56,1),(57,1),(59,1),(80,1),(81,1),(82,1),(97,1)}
        71:{1,5}:{(58,1),(59,1)}
        72:{4,5}:{(59,1),(63,1),(82,1)}
        73:{1,2,5}:{(60,1),(61,1),(62,1),(84,1),(87,1),(98,1)}
        74:{1,4}:{(61,1),(63,1),(85,1)}
        75:{2,4}:{(62,1),(63,1),(86,1)}
        76:{3,5}:{(64,1),(66,1),(86,1),(87,1)}
        77:{3,7}:{(65,1),(66,1),(88,1)}
        78:{1,6}:{(66,1),(87,1),(88,1)}
        79:{1,6,7}:{(67,1),(69,1),(89,1)}
        80:{3,5,7}:{(67,1),(68,1),(70,1),(89,1),(90,1),(101,1)}
        81:{1,5,6}:{(69,1),(70,1),(71,1),(89,1),(91,1)}
        82:{4,6}:{(70,1),(72,1),(90,1)}
        83:{1,4,5}:{(71,1),(72,1),(74,1),(91,1),(92,1)}
        84:{1,2,4}:{(73,1),(74,1),(75,1),(93,1),(94,1),(95,1),(103,1)}
        85:{3,4}:{(74,1),(92,1),(93,1),(94,1)}
        86:{3,4}:{(75,1),(76,1),(93,1),(95,1)}
        87:{1,5}:{(76,1),(78,1),(95,1)}
        88:{1,7}:{(77,1),(78,1)}
        89:{1,5,7}:{(79,1),(80,1),(81,1),(96,1)}
        90:{4,7}:{(80,1),(82,1)}
        91:{1,4,6}:{(81,1),(82,1),(83,1),(96,1),(97,1)}
        92:{3,5}:{(83,1),(85,1),(97,1),(98,1)}
        93:{3}:{(84,1)}
        94:{2,4}:{(85,1),(98,1),(100,1)}
        95:{1,4}:{(86,1),(87,1),(99,1)}
        96:{1,4,7}:{(89,1),(90,1),(91,1),(101,1)}
        97:{3,6}:{(91,1),(92,1),(101,1),(102,1)}
        98:{2,5}:{(92,1),(94,1),(102,1)}
        99:{1,3}:{(93,1),(95,1),(103,1)}
       100:{2,3}:{(93,1),(94,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{2,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{2,7}:{(101,1),(102,1)}

 348 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1)}
        2:{2,5}:{(0,1),(5,1),(21,1),(24,1)}
        3:{2,4,7}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,6}:{(1,1),(8,1),(9,1)}
        5:{3,5}:{(1,1),(2,1),(8,1),(10,1),(17,1)}
        6:{3,7}:{(1,1),(3,1),(9,1),(33,1)}
        7:{2,5,7}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,5}:{(4,1),(5,1),(13,1)}
        9:{1,7}:{(4,1),(6,1),(34,1)}
       10:{4}:{(5,1)}
       11:{3,5,7}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{2,6}:{(7,1),(16,1)}
       13:{1,4}:{(8,1),(10,1),(17,1)}
       14:{1,5,7}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{4,7}:{(10,1),(11,1),(20,1),(31,1)}
       16:{3,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{3}:{(13,1),(21,1)}
       18:{1,4,7}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,6}:{(14,1),(16,1)}
       20:{4,6}:{(15,1),(16,1),(24,1)}
       21:{2}:{(17,1)}
       22:{3,7}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,4,6}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{5}:{(20,1)}
       25:{2,7}:{(21,1),(22,1),(28,1)}
       26:{3,6}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,5}:{(23,1),(24,1),(29,1),(34,1)}
       28:{2,6}:{(25,1),(26,1),(30,1)}
       29:{3,5}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{2,5}:{(28,1),(29,1),(32,1)}
       31:{4}:{(29,1)}
       32:{2,4}:{(30,1),(31,1),(33,1)}
       33:{3}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 349 :   0:{1,4,5,6}:{(1,1),(2,1),(9,1),(87,1),(89,1)}
         1:{3,5,6}:{(0,1),(3,1),(5,1),(6,1)}
         2:{1,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(69,1),(71,1)}
         3:{3,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(41,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(12,1),(13,1),(31,1),(41,1),(80,1),(87,1),(139,1)}
         5:{2,5,6}:{(1,1),(10,1),(14,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1)}
         7:{1,4,6,7}:{(2,1),(15,1),(16,1),(50,1)}
         8:{3,4,5}:{(3,1),(17,1),(18,1),(56,1)}
         9:{1,4,6}:{(3,1),(4,1),(17,1),(23,1),(160,1)}
        10:{2,4,6}:{(3,1),(5,1),(18,1),(21,1),(24,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(24,1),(67,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(22,1),(26,1),(27,1),(52,1),(108,1),(117,1),(162,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(23,1),(27,1),(28,1),(67,1),(69,1),(124,1)}
        14:{2,5,7}:{(5,1),(6,1),(24,1),(29,1)}
        15:{3,6,7}:{(6,1),(7,1),(29,1)}
        16:{1,5,6,7}:{(7,1),(30,1),(69,1),(128,1)}
        17:{1,4,5}:{(8,1),(9,1),(31,1),(177,1)}
        18:{2,4,5}:{(8,1),(10,1),(32,1)}
        19:{3,4,5,7}:{(8,1),(11,1),(34,1),(35,1),(36,1),(45,1),(85,1),(145,1),(148,1),(171,1),(177,1)}
        20:{1,3,4,6}:{(9,1),(31,1),(37,1),(38,1),(41,1),(80,1),(84,1),(91,1),(138,1)}
        21:{2,3,6}:{(10,1),(32,1),(39,1),(40,1),(41,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(12,1),(33,1),(39,1),(41,1),(42,1),(46,1),(91,1)}
        23:{1,4,7}:{(9,1),(11,1),(13,1),(148,1)}
        24:{2,4,7}:{(10,1),(11,1),(14,1),(40,1)}
        25:{3,4,6,7}:{(11,1),(15,1),(36,1),(43,1),(44,1),(45,1),(50,1),(97,1),(102,1),(145,1),(148,1)}
        26:{2,3,5,6}:{(12,1),(41,1),(46,1),(47,1),(78,1),(95,1),(133,1),(139,1),(146,1),(150,1),(172,1)}
        27:{1,2,5,7}:{(12,1),(13,1),(14,1),(42,1),(47,1),(48,1),(141,1)}
        28:{1,3,6,7}:{(13,1),(15,1),(43,1),(48,1),(80,1),(97,1),(181,1)}
        29:{2,6,7}:{(14,1),(15,1)}
        30:{3,5,6,7}:{(15,1),(16,1),(45,1),(49,1),(50,1),(102,1)}
        31:{1,3,5}:{(17,1),(20,1),(52,1),(56,1),(117,1),(159,1)}
        32:{2,3,5}:{(18,1),(21,1),(51,1),(54,1),(56,1)}
        33:{1,2,4,5}:{(17,1),(18,1),(22,1),(52,1),(54,1),(56,1),(72,1),(106,1),(109,1),(117,1)}
        34:{1,4,5,7}:{(17,1),(19,1),(23,1),(53,1),(58,1),(69,1),(166,1),(186,1)}
        35:{2,4,5,7}:{(18,1),(19,1),(24,1),(55,1),(59,1),(70,1),(121,1),(153,1)}
        36:{3,4,6}:{(19,1),(58,1),(59,1),(60,1),(114,1),(160,1)}
        37:{1,2,4,6}:{(20,1),(52,1),(61,1),(62,1),(106,1),(108,1),(154,1)}
        38:{1,3,4,7}:{(20,1),(23,1),(53,1),(62,1),(67,1),(113,1),(118,1),(203,1)}
        39:{1,2,6}:{(21,1),(54,1),(63,1),(64,1)}
        40:{2,3,7}:{(21,1),(24,1),(64,1),(67,1)}
        41:{3,6}:{(22,1),(56,1),(67,1)}
        42:{1,2,4,7}:{(22,1),(23,1),(24,1),(27,1),(64,1),(67,1),(73,1),(118,1)}
        43:{1,4,6,7}:{(23,1),(25,1),(28,1),(58,1),(69,1),(128,1),(166,1)}
        44:{2,4,6,7}:{(24,1),(25,1),(29,1),(59,1),(65,1),(70,1),(121,1)}
        45:{3,5,7}:{(25,1),(60,1),(69,1),(70,1),(71,1)}
        46:{2,4,6}:{(26,1),(66,1),(72,1),(73,1),(106,1),(160,1)}
        47:{2,3,5,7}:{(26,1),(27,1),(67,1),(73,1),(74,1),(122,1),(124,1),(127,1)}
        48:{1,2,6,7}:{(27,1),(28,1),(29,1),(74,1),(108,1),(162,1),(194,1)}
        49:{2,5,6,7}:{(29,1),(30,1),(70,1),(75,1)}
        50:{4,6,7}:{(30,1),(71,1)}
        51:{2,3,4}:{(32,1),(76,1),(84,1)}
        52:{1,2,5}:{(31,1),(37,1),(78,1),(172,1)}
        53:{1,3,5,7}:{(31,1),(34,1),(38,1),(79,1),(80,1),(85,1),(141,1),(181,1),(196,1)}
        54:{1,2,5}:{(32,1),(39,1),(76,1),(81,1)}
        55:{2,3,5,7}:{(32,1),(35,1),(40,1),(77,1),(82,1),(83,1),(85,1),(131,1),(202,1)}
        56:{3,5}:{(33,1),(41,1),(84,1)}
        57:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(42,1),(79,1),(82,1),(85,1),(86,1),(98,1),(100,1),(132,1),(134,1),(141,1),(144,1),(148,1),(170,1),(172,1),(173,1),(177,1),(179,1),(202,1)}
        58:{1,4,6}:{(34,1),(36,1),(80,1),(87,1)}
        59:{2,4,6}:{(35,1),(36,1),(83,1),(88,1)}
        60:{3,5,6}:{(36,1),(45,1),(87,1),(88,1),(89,1)}
        61:{2,3,6}:{(37,1),(41,1),(78,1),(90,1)}
        62:{1,2,4,7}:{(37,1),(38,1),(79,1),(90,1),(132,1),(208,1)}
        63:{1,3,6}:{(39,1),(41,1),(81,1),(91,1),(92,1)}
        64:{1,2,7}:{(39,1),(40,1),(92,1)}
        65:{2,3,6,7}:{(40,1),(44,1),(83,1),(93,1),(94,1),(97,1),(102,1)}
        66:{3,4,6}:{(41,1),(46,1),(84,1),(91,1),(95,1),(96,1),(146,1)}
        67:{3,7}:{(41,1),(42,1)}
        68:{1,2,4,6,7}:{(42,1),(43,1),(44,1),(48,1),(86,1),(93,1),(97,1),(98,1),(101,1),(142,1),(144,1),(148,1)}
        69:{1,5,7}:{(43,1),(45,1),(87,1)}
        70:{2,5,7}:{(44,1),(45,1),(88,1)}
        71:{4,5,7}:{(45,1),(50,1),(89,1),(148,1)}
        72:{2,4,5}:{(46,1),(95,1),(172,1),(177,1)}
        73:{2,4,7}:{(46,1),(47,1),(96,1),(148,1)}
        74:{2,3,6,7}:{(47,1),(48,1),(97,1),(101,1),(133,1),(146,1),(182,1)}
        75:{2,4,6,7}:{(49,1),(50,1),(99,1),(102,1)}
        76:{1,2,4}:{(51,1),(54,1),(103,1),(109,1)}
        77:{2,3,4,7}:{(51,1),(55,1),(104,1),(105,1),(113,1),(121,1),(165,1),(193,1)}
        78:{2,3,5}:{(52,1),(56,1),(61,1),(106,1)}
        79:{1,2,5,7}:{(52,1),(53,1),(62,1),(107,1),(108,1),(194,1),(205,1)}
        80:{1,3,6}:{(53,1),(58,1),(108,1),(114,1),(162,1)}
        81:{1,3,5}:{(54,1),(56,1),(63,1),(103,1),(109,1),(117,1)}
        82:{1,2,5,7}:{(54,1),(55,1),(64,1),(104,1),(110,1),(111,1),(152,1)}
        83:{2,3,6}:{(55,1),(59,1),(111,1),(114,1),(207,1)}
        84:{3,4}:{(56,1),(106,1),(109,1)}
        85:{3,5,7}:{(56,1),(57,1),(67,1),(113,1),(114,1),(159,1),(165,1),(185,1)}
        86:{1,2,4,6}:{(57,1),(58,1),(59,1),(108,1),(111,1),(114,1),(115,1),(126,1),(154,1),(155,1),(160,1),(162,1),(191,1),(207,1)}
        87:{1,5,6}:{(58,1),(60,1),(69,1)}
        88:{2,5,6}:{(59,1),(60,1),(70,1)}
        89:{4,5,6}:{(60,1),(71,1),(160,1)}
        90:{2,3,7}:{(61,1),(62,1),(67,1),(209,1)}
        91:{1,4,6}:{(63,1),(66,1),(109,1),(117,1),(118,1),(162,1)}
        92:{1,3,7}:{(63,1),(64,1),(67,1),(118,1)}
        93:{1,2,6,7}:{(64,1),(65,1),(111,1),(119,1),(120,1),(128,1),(207,1)}
        94:{2,3,5,7}:{(65,1),(70,1),(112,1),(120,1),(121,1),(124,1),(125,1),(165,1)}
        95:{3,5}:{(66,1),(72,1),(117,1)}
        96:{3,4,7}:{(66,1),(67,1),(73,1),(118,1),(122,1)}
        97:{3,6,7}:{(67,1),(68,1),(114,1),(124,1),(165,1)}
        98:{1,2,5,7}:{(68,1),(69,1),(70,1),(115,1),(124,1),(127,1),(163,1)}
        99:{2,4,5,7}:{(70,1),(71,1),(75,1),(116,1),(121,1),(125,1)}
       100:{2,4,5,7}:{(72,1),(73,1),(122,1),(126,1),(127,1),(168,1)}
       101:{2,4,6,7}:{(73,1),(74,1),(123,1),(126,1),(127,1),(154,1),(193,1),(207,1)}
       102:{3,6,7}:{(75,1),(125,1),(128,1)}
       103:{1,3}:{(76,1)}
       104:{1,2,4,7}:{(76,1),(77,1),(82,1),(129,1),(130,1),(134,1)}
       105:{2,3,4,6}:{(77,1),(83,1),(130,1),(131,1),(137,1),(138,1),(175,1),(195,1),(199,1)}
       106:{2,4}:{(78,1),(84,1)}
       107:{2,3,5,7}:{(78,1),(79,1),(85,1),(90,1),(132,1),(133,1),(172,1),(182,1),(197,1),(202,1)}
       108:{1,2,6}:{(79,1),(80,1),(133,1)}
       109:{1,4}:{(81,1),(84,1)}
       110:{1,3,5,7}:{(81,1),(82,1),(85,1),(92,1),(129,1),(134,1),(135,1),(141,1),(169,1),(173,1)}
       111:{1,2,6}:{(82,1),(83,1),(135,1)}
       112:{2,3,5,6}:{(83,1),(88,1),(94,1),(131,1),(136,1),(137,1),(139,1),(140,1),(175,1)}
       113:{3,4,7}:{(84,1),(85,1),(132,1),(134,1),(138,1),(148,1),(195,1)}
       114:{3,6}:{(85,1),(86,1)}
       115:{1,2,5,6}:{(86,1),(87,1),(88,1),(98,1),(139,1),(150,1),(172,1),(173,1),(178,1)}
       116:{2,4,5,6}:{(88,1),(89,1),(99,1),(137,1),(140,1)}
       117:{1,5}:{(91,1),(95,1)}
       118:{1,4,7}:{(91,1),(92,1),(96,1),(141,1)}
       119:{1,3,6,7}:{(92,1),(93,1),(97,1),(135,1),(142,1),(143,1),(201,1)}
       120:{1,2,5,7}:{(93,1),(94,1),(136,1),(143,1),(144,1),(149,1),(202,1)}
       121:{2,4,7}:{(94,1),(137,1),(145,1),(148,1)}
       122:{3,5,7}:{(95,1),(96,1),(100,1),(141,1),(146,1)}
       123:{3,4,6,7}:{(96,1),(97,1),(101,1),(138,1),(142,1),(146,1),(147,1),(148,1),(180,1),(183,1),(201,1)}
       124:{3,5,7}:{(97,1),(98,1),(139,1),(148,1)}
       125:{3,5,7}:{(99,1),(102,1),(140,1),(145,1),(149,1)}
       126:{2,4,6}:{(100,1),(146,1),(150,1),(183,1)}
       127:{2,5,7}:{(101,1),(147,1),(150,1),(172,1)}
       128:{1,6,7}:{(102,1),(149,1)}
       129:{1,3,7}:{(103,1),(104,1),(151,1),(165,1)}
       130:{1,2,4,6}:{(104,1),(105,1),(111,1),(151,1),(152,1),(155,1),(184,1)}
       131:{2,3,5}:{(105,1),(152,1),(153,1),(159,1),(185,1),(206,1)}
       132:{2,4,7}:{(106,1),(107,1),(113,1),(154,1),(204,1)}
       133:{2,3,6}:{(107,1),(108,1),(114,1),(154,1),(207,1)}
       134:{1,4,7}:{(109,1),(110,1),(113,1),(155,1),(184,1)}
       135:{1,3,6}:{(110,1),(111,1),(114,1),(155,1),(162,1)}
       136:{1,2,5,6}:{(111,1),(112,1),(120,1),(152,1),(156,1),(157,1),(161,1),(206,1),(207,1)}
       137:{2,4,6}:{(112,1),(121,1),(153,1),(158,1),(160,1)}
       138:{3,4,6}:{(113,1),(114,1),(154,1),(155,1),(159,1),(160,1)}
       139:{3,5,6}:{(114,1),(115,1),(124,1),(159,1),(160,1)}
       140:{3,5,6}:{(116,1),(125,1),(158,1),(161,1)}
       141:{1,5,7}:{(117,1),(118,1),(122,1),(162,1)}
       142:{1,4,6,7}:{(118,1),(119,1),(123,1),(155,1),(162,1),(163,1),(164,1),(191,1)}
       143:{1,3,5,7}:{(119,1),(120,1),(124,1),(156,1),(163,1),(164,1),(165,1),(192,1)}
       144:{1,2,4,7}:{(120,1),(121,1),(157,1),(164,1),(165,1),(166,1),(193,1),(194,1)}
       145:{3,4,7}:{(121,1),(125,1),(158,1),(165,1),(166,1)}
       146:{3,6}:{(122,1),(126,1),(162,1)}
       147:{3,5,7}:{(123,1),(127,1),(159,1),(163,1),(167,1),(168,1)}
       148:{4,7}:{(124,1),(160,1)}
       149:{1,5,7}:{(125,1),(128,1),(161,1),(166,1)}
       150:{2,5,6}:{(126,1),(127,1),(167,1),(207,1)}
       151:{1,3,6}:{(129,1),(130,1),(169,1),(175,1)}
       152:{1,2,5}:{(130,1),(131,1),(169,1),(173,1)}
       153:{2,4,5}:{(131,1),(137,1),(171,1),(177,1)}
       154:{2,4,6}:{(132,1),(133,1),(138,1),(172,1)}
       155:{1,4,6}:{(134,1),(135,1),(138,1),(173,1)}
       156:{1,3,5,6}:{(135,1),(136,1),(139,1),(143,1),(169,1),(173,1),(174,1),(175,1),(178,1),(198,1),(201,1)}
       157:{1,2,4,6}:{(136,1),(137,1),(144,1),(170,1),(174,1),(175,1),(176,1),(199,1),(200,1)}
       158:{3,4,6}:{(137,1),(140,1),(145,1),(171,1),(175,1),(176,1)}
       159:{3,5}:{(138,1),(172,1),(173,1),(177,1)}
       160:{4,6}:{(139,1),(148,1),(177,1)}
       161:{1,5,6}:{(140,1),(149,1),(176,1)}
       162:{1,6}:{(141,1),(146,1)}
       163:{1,5,7}:{(142,1),(147,1),(173,1),(178,1)}
       164:{1,4,7}:{(143,1),(148,1),(174,1),(180,1)}
       165:{3,7}:{(144,1),(175,1)}
       166:{1,4,7}:{(145,1),(149,1),(176,1),(181,1)}
       167:{3,5,6}:{(146,1),(147,1),(150,1),(178,1),(183,1),(201,1)}
       168:{4,5,7}:{(147,1),(148,1),(177,1),(183,1)}
       169:{1,3,5}:{(151,1),(152,1),(184,1),(185,1)}
       170:{1,2,4,5}:{(152,1),(153,1),(157,1),(184,1),(185,1),(186,1),(187,1),(204,1),(205,1),(206,1)}
       171:{3,4,5}:{(153,1),(158,1),(185,1),(186,1)}
       172:{2,5}:{(154,1),(159,1)}
       173:{1,5}:{(155,1),(159,1)}
       174:{1,4,6}:{(156,1),(160,1),(164,1),(184,1),(187,1),(188,1)}
       175:{3,6}:{(157,1),(165,1),(185,1)}
       176:{1,4,6}:{(158,1),(161,1),(166,1),(186,1),(189,1)}
       177:{4,5}:{(159,1),(160,1)}
       178:{1,5,6}:{(162,1),(163,1),(167,1),(191,1)}
       179:{1,4,5,7}:{(163,1),(164,1),(168,1),(187,1),(191,1),(192,1)}
       180:{3,4,7}:{(164,1),(165,1),(188,1),(192,1),(193,1)}
       181:{1,3,7}:{(165,1),(166,1),(189,1),(194,1)}
       182:{2,3,7}:{(165,1),(190,1),(193,1),(194,1)}
       183:{4,6}:{(167,1),(168,1)}
       184:{1,4}:{(169,1),(195,1)}
       185:{3,5}:{(170,1),(175,1),(195,1)}
       186:{1,4,5}:{(171,1),(176,1),(196,1)}
       187:{1,4,5}:{(173,1),(174,1),(177,1),(198,1)}
       188:{3,4,6}:{(174,1),(175,1),(180,1),(195,1),(198,1),(199,1),(201,1)}
       189:{1,3,6}:{(175,1),(176,1),(181,1),(196,1),(200,1)}
       190:{2,3,6}:{(175,1),(182,1),(197,1),(199,1),(200,1)}
       191:{1,4,6}:{(178,1),(179,1),(183,1),(201,1)}
       192:{3,5,7}:{(179,1),(180,1),(198,1),(201,1),(202,1)}
       193:{2,4,7}:{(180,1),(182,1),(199,1),(202,1)}
       194:{1,2,7}:{(181,1),(182,1),(200,1)}
       195:{3,4}:{(184,1),(185,1),(204,1)}
       196:{1,3,5}:{(185,1),(186,1),(189,1),(203,1),(205,1)}
       197:{2,3,5}:{(185,1),(190,1),(204,1),(205,1),(206,1),(209,1)}
       198:{3,5}:{(187,1),(188,1),(206,1)}
       199:{2,4,6}:{(188,1),(190,1),(193,1),(204,1),(206,1),(207,1)}
       200:{1,2,6}:{(189,1),(190,1),(194,1),(205,1)}
       201:{3,6}:{(191,1),(192,1),(207,1)}
       202:{2,5,7}:{(192,1),(193,1),(206,1),(207,1)}
       203:{1,3,4}:{(195,1),(196,1),(208,1)}
       204:{2,4}:{(195,1),(197,1)}
       205:{1,2,5}:{(196,1),(197,1),(200,1),(208,1)}
       206:{2,5}:{(198,1),(199,1)}
       207:{2,6}:{(201,1),(202,1)}
       208:{1,2,4}:{(203,1),(204,1),(205,1),(209,1)}
       209:{2,3}:{(208,1)}

 350 :   0:{1,4,5,7}:{(2,1),(3,1),(5,1),(13,1),(21,1),(36,1),(38,1)}
         1:{1,4,6,7}:{(3,1),(4,1),(5,1),(21,1)}
         2:{3,5,7}:{(0,1),(6,1),(8,1),(9,1),(26,1)}
         3:{1,4,6}:{(0,1),(9,1),(10,1),(30,1)}
         4:{3,6,7}:{(1,1),(9,1),(11,1),(12,1)}
         5:{1,5,7}:{(1,1),(10,1),(12,1),(53,1)}
         6:{3,4,7}:{(2,1),(13,1),(14,1),(15,1),(21,1),(34,1),(42,1)}
         7:{1,3,5,7}:{(2,1),(13,1),(16,1),(17,1),(34,1),(36,1),(60,1)}
         8:{2,5,7}:{(2,1),(14,1),(18,1),(37,1)}
         9:{3,6}:{(2,1),(3,1),(18,1)}
        10:{1,5,6}:{(3,1),(5,1),(19,1),(36,1),(64,1)}
        11:{2,6,7}:{(4,1),(18,1),(20,1)}
        12:{3,5,7}:{(4,1),(5,1),(19,1),(20,1),(21,1),(42,1)}
        13:{1,4,7}:{(6,1),(7,1),(24,1),(53,1),(72,1)}
        14:{2,4,7}:{(6,1),(8,1),(22,1),(25,1)}
        15:{3,4,6}:{(6,1),(9,1),(24,1),(25,1),(26,1),(30,1),(47,1),(52,1),(69,1),(72,1)}
        16:{1,2,5,7}:{(7,1),(8,1),(23,1),(27,1),(28,1),(48,1),(65,1)}
        17:{1,3,6}:{(7,1),(9,1),(24,1),(28,1),(47,1),(89,1)}
        18:{2,6}:{(8,1),(9,1)}
        19:{3,5,6}:{(9,1),(10,1),(12,1),(26,1),(29,1),(30,1),(52,1)}
        20:{2,5,7}:{(11,1),(12,1),(29,1),(31,1)}
        21:{4,7}:{(12,1),(30,1)}
        22:{2,3,7}:{(14,1),(32,1),(33,1),(34,1),(42,1)}
        23:{1,2,4,7}:{(13,1),(14,1),(16,1),(32,1),(34,1),(35,1),(39,1),(54,1)}
        24:{1,4,6}:{(13,1),(15,1),(17,1),(36,1),(64,1),(80,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(33,1),(37,1),(57,1)}
        26:{3,5}:{(15,1),(36,1),(37,1),(38,1)}
        27:{2,3,5,7}:{(16,1),(34,1),(39,1),(40,1),(58,1),(60,1),(63,1)}
        28:{1,2,6}:{(16,1),(17,1),(18,1),(40,1),(76,1),(97,1)}
        29:{2,5,6}:{(18,1),(19,1),(20,1),(37,1),(41,1)}
        30:{4,6}:{(19,1),(21,1),(38,1)}
        31:{2,4,7}:{(20,1),(21,1),(41,1),(42,1)}
        32:{1,2,7}:{(22,1),(43,1),(44,1),(53,1),(104,1)}
        33:{2,3,6}:{(22,1),(25,1),(44,1),(45,1),(47,1),(52,1)}
        34:{3,7}:{(23,1),(47,1)}
        35:{1,2,4,6}:{(23,1),(24,1),(25,1),(28,1),(44,1),(47,1),(48,1),(51,1),(66,1),(68,1),(72,1)}
        36:{1,5}:{(24,1),(26,1)}
        37:{2,5}:{(25,1),(26,1)}
        38:{4,5}:{(26,1),(30,1),(72,1)}
        39:{2,4,7}:{(27,1),(46,1),(51,1),(72,1),(104,1)}
        40:{2,3,6}:{(27,1),(28,1),(47,1),(51,1),(70,1),(90,1)}
        41:{2,4,6}:{(29,1),(30,1),(31,1),(49,1),(52,1)}
        42:{3,7}:{(31,1),(52,1),(53,1)}
        43:{1,3,7}:{(32,1),(34,1),(54,1),(55,1),(102,1)}
        44:{1,2,6}:{(32,1),(33,1),(55,1),(56,1),(64,1),(103,1)}
        45:{2,3,5}:{(33,1),(37,1),(56,1),(57,1),(60,1),(61,1),(79,1)}
        46:{3,4,7}:{(34,1),(39,1),(54,1),(58,1),(59,1),(98,1),(102,1)}
        47:{3,6}:{(34,1),(35,1),(60,1),(79,1)}
        48:{1,2,5}:{(35,1),(36,1),(37,1),(60,1),(63,1),(77,1)}
        49:{2,4,5}:{(37,1),(38,1),(41,1),(57,1),(61,1)}
        50:{2,4,5,7}:{(39,1),(58,1),(62,1),(63,1),(83,1),(84,1),(98,1)}
        51:{2,4,6}:{(39,1),(40,1),(59,1),(63,1),(96,1),(103,1)}
        52:{3,6}:{(41,1),(42,1),(61,1),(64,1)}
        53:{1,7}:{(42,1),(64,1)}
        54:{1,4,7}:{(43,1),(46,1),(65,1),(66,1)}
        55:{1,3,6}:{(43,1),(44,1),(47,1),(66,1),(67,1),(100,1)}
        56:{1,2,5}:{(44,1),(45,1),(67,1),(68,1),(73,1),(101,1)}
        57:{2,4}:{(45,1),(69,1),(72,1)}
        58:{3,5,7}:{(46,1),(50,1),(65,1),(70,1),(71,1)}
        59:{3,4,6}:{(46,1),(47,1),(51,1),(66,1),(70,1),(71,1),(72,1),(88,1),(92,1),(100,1)}
        60:{3,5}:{(47,1),(48,1),(72,1)}
        61:{3,5}:{(49,1),(52,1),(69,1),(73,1)}
        62:{2,4,6}:{(50,1),(70,1),(75,1),(92,1)}
        63:{2,5}:{(51,1),(71,1)}
        64:{1,6}:{(52,1),(53,1),(73,1)}
        65:{1,5,7}:{(54,1),(58,1),(76,1),(77,1)}
        66:{1,4,6}:{(54,1),(55,1),(59,1),(76,1),(77,1),(78,1)}
        67:{1,3,5}:{(55,1),(56,1),(60,1),(77,1),(78,1),(79,1),(95,1)}
        68:{1,2,4}:{(56,1),(57,1),(78,1),(79,1),(80,1),(96,1),(97,1)}
        69:{3,4}:{(57,1),(61,1),(79,1),(80,1)}
        70:{3,6}:{(58,1),(62,1),(76,1)}
        71:{3,5}:{(59,1),(63,1),(77,1),(83,1)}
        72:{4}:{(60,1)}
        73:{1,5}:{(61,1),(64,1),(80,1)}
        74:{2,4,6,7}:{(62,1),(81,1),(84,1),(98,1)}
        75:{2,5,6}:{(62,1),(63,1),(82,1),(84,1),(103,1)}
        76:{1,6}:{(65,1),(70,1)}
        77:{1,5}:{(66,1),(71,1)}
        78:{1,4}:{(67,1),(72,1),(88,1)}
        79:{3}:{(68,1)}
        80:{1,4}:{(69,1),(73,1),(89,1)}
        81:{3,6,7}:{(70,1),(74,1),(85,1),(91,1)}
        82:{3,5,6}:{(70,1),(71,1),(75,1),(86,1),(91,1),(92,1),(100,1)}
        83:{4,5}:{(71,1),(72,1),(92,1)}
        84:{2,5,7}:{(74,1),(75,1),(91,1),(104,1)}
        85:{1,6,7}:{(76,1),(81,1),(93,1)}
        86:{1,5,6}:{(76,1),(77,1),(82,1),(93,1),(94,1)}
        87:{1,4,5}:{(77,1),(78,1),(83,1),(94,1),(95,1)}
        88:{3,4}:{(78,1),(79,1),(95,1),(96,1)}
        89:{1,3}:{(79,1),(80,1),(97,1)}
        90:{2,3}:{(79,1),(96,1),(97,1)}
        91:{3,5,7}:{(81,1),(82,1),(84,1),(93,1),(98,1),(102,1)}
        92:{4,6}:{(82,1),(83,1),(98,1)}
        93:{1,5,7}:{(85,1),(86,1),(91,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(92,1),(99,1),(100,1)}
        95:{3,5}:{(87,1),(88,1),(100,1),(101,1)}
        96:{2,4}:{(88,1),(90,1),(101,1)}
        97:{1,2}:{(89,1),(90,1)}
        98:{4,7}:{(91,1),(92,1)}
        99:{1,4,7}:{(93,1),(94,1),(98,1),(102,1)}
       100:{3,6}:{(94,1),(95,1),(102,1),(103,1)}
       101:{2,5}:{(95,1),(96,1),(103,1)}
       102:{3,7}:{(99,1),(100,1),(104,1)}
       103:{2,6}:{(100,1),(101,1),(104,1)}
       104:{2,7}:{(102,1),(103,1)}

 351 :  0:{1,4,6}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,5}:{(0,1),(5,1),(21,1),(24,1)}
        3:{1,4,7}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{2,6}:{(1,1),(8,1),(9,1)}
        5:{3,5}:{(1,1),(2,1),(8,1),(10,1),(17,1)}
        6:{3,7}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,5,7}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{2,5}:{(4,1),(5,1),(13,1)}
        9:{2,7}:{(4,1),(6,1),(34,1)}
       10:{4}:{(5,1)}
       11:{3,5,7}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,6}:{(7,1),(16,1)}
       13:{2,4}:{(8,1),(10,1),(17,1)}
       14:{2,5,7}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{4,7}:{(10,1),(11,1),(20,1),(31,1)}
       16:{3,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{3}:{(13,1),(21,1)}
       18:{2,4,7}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{2,6}:{(14,1),(16,1)}
       20:{4,6}:{(15,1),(16,1),(24,1)}
       21:{1}:{(17,1)}
       22:{3,7}:{(17,1),(18,1),(25,1),(26,1)}
       23:{2,4,6}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{5}:{(20,1)}
       25:{1,7}:{(21,1),(22,1),(28,1)}
       26:{3,6}:{(22,1),(23,1),(28,1),(29,1)}
       27:{2,5}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,6}:{(25,1),(26,1),(30,1)}
       29:{3,5}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,5}:{(28,1),(29,1),(32,1)}
       31:{4}:{(29,1)}
       32:{1,4}:{(30,1),(31,1),(33,1)}
       33:{3}:{(32,1),(34,1)}
       34:{2}:{(33,1)}

 352 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(14,1),(17,1),(45,1),(54,1),(55,1),(91,1),(92,1),(124,1),(149,1)}
         1:{1,2,5,6}:{(0,1),(4,1),(5,1),(6,1),(32,1),(58,1),(67,1),(76,1),(100,1),(109,1),(137,1)}
         2:{2,4,6}:{(0,1),(7,1),(8,1),(9,1),(65,1),(112,1),(159,1)}
         3:{2,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(30,1),(33,1),(37,1),(75,1)}
         4:{1,3,5,6}:{(1,1),(11,1),(12,1),(14,1),(38,1),(44,1),(81,1),(82,1),(90,1),(92,1),(123,1),(149,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(19,1),(40,1),(48,1),(85,1)}
         6:{1,2,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(53,1),(80,1)}
         7:{2,4,5}:{(2,1),(17,1),(124,1),(125,1)}
         8:{3,4,6}:{(2,1),(14,1),(17,1),(19,1),(20,1),(43,1),(54,1)}
         9:{2,4,7}:{(2,1),(3,1),(20,1),(96,1)}
        10:{2,3,6,7}:{(3,1),(16,1),(21,1),(51,1),(54,1),(91,1),(157,1)}
        11:{1,4,6}:{(4,1),(22,1),(23,1),(24,1),(64,1),(112,1),(159,1)}
        12:{1,3,5,7}:{(4,1),(6,1),(24,1),(25,1),(30,1),(59,1),(63,1),(75,1)}
        13:{1,2,4,5}:{(5,1),(7,1),(22,1),(26,1),(32,1),(58,1),(64,1),(65,1),(67,1),(137,1),(159,1)}
        14:{3,6}:{(5,1),(26,1),(30,1),(104,1)}
        15:{1,2,4,7}:{(5,1),(6,1),(9,1),(24,1),(30,1),(35,1),(61,1),(72,1)}
        16:{1,2,6,7}:{(6,1),(10,1),(25,1),(76,1),(100,1),(109,1),(165,1)}
        17:{3,5}:{(7,1),(8,1),(32,1)}
        18:{2,4,5,7}:{(7,1),(9,1),(33,1),(34,1),(37,1),(79,1)}
        19:{1,4,6}:{(8,1),(28,1),(32,1),(35,1),(64,1),(76,1)}
        20:{3,4,7}:{(8,1),(9,1),(30,1),(33,1),(35,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(34,1),(36,1),(37,1),(107,1),(144,1),(146,1)}
        22:{1,4,5}:{(11,1),(38,1),(123,1),(125,1)}
        23:{3,4,6}:{(11,1),(14,1),(38,1),(40,1),(41,1),(43,1),(81,1)}
        24:{1,4,7}:{(11,1),(12,1),(41,1),(96,1)}
        25:{1,3,6,7}:{(12,1),(16,1),(42,1),(51,1),(81,1),(90,1),(156,1)}
        26:{3,5}:{(13,1),(14,1),(43,1)}
        27:{1,2,4,5,7}:{(13,1),(15,1),(18,1),(39,1),(46,1),(47,1),(52,1),(53,1),(80,1),(86,1),(87,1),(89,1),(96,1),(99,1),(120,1),(123,1),(124,1),(125,1),(129,1),(133,1),(148,1),(150,1)}
        28:{1,3,6}:{(14,1),(19,1),(44,1),(48,1),(49,1)}
        29:{2,3,6}:{(14,1),(40,1),(45,1),(48,1),(50,1)}
        30:{3,7}:{(14,1),(15,1)}
        31:{1,2,4,6,7}:{(15,1),(16,1),(21,1),(42,1),(47,1),(51,1),(52,1),(56,1),(83,1),(93,1),(96,1),(122,1),(129,1)}
        32:{1,5}:{(17,1),(19,1)}
        33:{3,5,7}:{(17,1),(18,1),(20,1),(53,1),(54,1)}
        34:{2,4,6}:{(18,1),(54,1),(55,1),(98,1)}
        35:{1,4,7}:{(19,1),(20,1),(49,1),(53,1)}
        36:{3,4,6,7}:{(20,1),(21,1),(51,1),(54,1),(56,1),(57,1),(88,1),(96,1),(98,1),(130,1),(132,1)}
        37:{2,5,7}:{(21,1),(55,1),(57,1),(124,1)}
        38:{3,5}:{(22,1),(23,1),(58,1)}
        39:{1,4,5,7}:{(22,1),(24,1),(59,1),(60,1),(63,1),(103,1)}
        40:{2,4,6}:{(23,1),(29,1),(58,1),(61,1),(65,1),(100,1)}
        41:{3,4,7}:{(23,1),(24,1),(30,1),(59,1),(61,1)}
        42:{1,4,6,7}:{(24,1),(25,1),(60,1),(62,1),(63,1),(106,1),(145,1),(158,1)}
        43:{3,4}:{(26,1),(64,1),(65,1),(104,1),(159,1)}
        44:{1,3,5}:{(26,1),(28,1),(32,1),(64,1),(67,1),(104,1)}
        45:{2,3,5}:{(26,1),(29,1),(58,1),(65,1),(67,1),(104,1)}
        46:{3,5,7}:{(26,1),(27,1),(30,1),(66,1),(70,1),(108,1),(143,1),(160,1)}
        47:{1,2,4,6}:{(27,1),(34,1),(60,1),(70,1),(71,1),(76,1),(100,1),(106,1),(107,1),(109,1),(112,1),(116,1),(134,1),(146,1),(158,1)}
        48:{1,2,6}:{(28,1),(29,1),(67,1),(72,1)}
        49:{1,3,7}:{(28,1),(30,1),(35,1),(72,1)}
        50:{2,3,7}:{(29,1),(30,1),(61,1),(72,1)}
        51:{3,6,7}:{(30,1),(31,1),(70,1),(75,1),(136,1),(143,1)}
        52:{1,2,5,7}:{(31,1),(37,1),(63,1),(71,1),(75,1),(78,1),(102,1),(137,1)}
        53:{1,5,7}:{(32,1),(33,1),(35,1),(76,1)}
        54:{3,6}:{(33,1),(34,1),(76,1)}
        55:{2,5,6}:{(34,1),(37,1),(77,1),(146,1)}
        56:{1,4,6,7}:{(35,1),(36,1),(73,1),(76,1),(78,1),(106,1),(114,1),(116,1)}
        57:{3,5,7}:{(36,1),(37,1),(77,1),(78,1),(79,1),(108,1)}
        58:{2,5}:{(38,1),(40,1)}
        59:{3,5,7}:{(38,1),(39,1),(41,1),(80,1),(81,1)}
        60:{1,4,6}:{(39,1),(81,1),(82,1),(119,1)}
        61:{2,4,7}:{(40,1),(41,1),(50,1),(80,1)}
        62:{3,4,6,7}:{(41,1),(42,1),(51,1),(81,1),(83,1),(84,1),(88,1),(96,1),(119,1),(131,1),(147,1)}
        63:{1,5,7}:{(42,1),(82,1),(84,1),(123,1)}
        64:{1,4}:{(43,1),(44,1)}
        65:{2,4}:{(43,1),(45,1)}
        66:{3,4,7}:{(43,1),(46,1),(86,1),(87,1),(88,1),(96,1),(121,1),(166,1)}
        67:{1,2,5}:{(44,1),(45,1),(48,1),(85,1)}
        68:{1,3,5,7}:{(44,1),(46,1),(49,1),(53,1),(86,1),(89,1),(90,1),(121,1),(123,1),(148,1),(149,1),(156,1),(167,1)}
        69:{2,3,5,7}:{(45,1),(46,1),(50,1),(80,1),(87,1),(89,1),(91,1),(121,1),(124,1),(133,1),(149,1),(157,1),(168,1)}
        70:{3,6}:{(46,1),(47,1)}
        71:{1,2,5,6}:{(47,1),(52,1),(55,1),(82,1),(92,1),(97,1),(118,1),(123,1),(124,1)}
        72:{1,2,7}:{(48,1),(49,1),(50,1)}
        73:{1,3,6,7}:{(49,1),(51,1),(56,1),(90,1),(93,1),(94,1),(132,1)}
        74:{2,3,6,7}:{(50,1),(51,1),(83,1),(91,1),(93,1),(95,1),(147,1)}
        75:{3,5,7}:{(51,1),(52,1),(92,1),(96,1),(149,1)}
        76:{1,6}:{(53,1),(54,1)}
        77:{3,5,6}:{(54,1),(55,1),(57,1),(97,1),(98,1),(132,1)}
        78:{1,5,7}:{(56,1),(57,1),(97,1),(123,1)}
        79:{4,5,7}:{(57,1),(96,1),(98,1),(125,1)}
        80:{2,5,7}:{(58,1),(59,1),(61,1),(100,1)}
        81:{3,6}:{(59,1),(60,1),(100,1)}
        82:{1,5,6}:{(60,1),(63,1),(101,1),(158,1)}
        83:{2,4,6,7}:{(61,1),(62,1),(74,1),(100,1),(102,1),(107,1),(115,1),(134,1)}
        84:{3,5,7}:{(62,1),(63,1),(101,1),(102,1),(103,1),(108,1)}
        85:{1,2,4}:{(64,1),(65,1),(67,1),(104,1)}
        86:{1,4,7}:{(64,1),(66,1),(68,1),(106,1),(159,1),(170,1)}
        87:{2,4,7}:{(65,1),(66,1),(69,1),(107,1),(159,1),(171,1)}
        88:{3,4,6}:{(66,1),(70,1),(106,1),(107,1),(108,1),(112,1),(136,1),(159,1)}
        89:{1,2,5,7}:{(67,1),(68,1),(69,1),(72,1),(105,1),(109,1),(137,1),(165,1),(172,1)}
        90:{1,3,6}:{(68,1),(70,1),(76,1),(106,1),(109,1),(136,1),(158,1)}
        91:{2,3,6}:{(69,1),(70,1),(100,1),(107,1),(109,1),(136,1),(146,1)}
        92:{3,5,6}:{(70,1),(71,1),(75,1),(108,1),(112,1)}
        93:{1,2,6,7}:{(72,1),(73,1),(74,1),(109,1),(113,1),(146,1),(158,1)}
        94:{1,3,5,7}:{(73,1),(75,1),(78,1),(110,1),(113,1),(114,1),(117,1),(143,1)}
        95:{2,3,5,7}:{(74,1),(75,1),(102,1),(111,1),(113,1),(115,1),(135,1),(143,1)}
        96:{4,7}:{(75,1),(112,1),(159,1)}
        97:{1,5,6}:{(76,1),(77,1),(78,1),(116,1)}
        98:{4,6}:{(77,1),(79,1)}
        99:{1,4,5,7}:{(78,1),(79,1),(114,1),(116,1),(117,1),(138,1)}
       100:{2,6}:{(80,1),(81,1)}
       101:{3,5,6}:{(81,1),(82,1),(84,1),(118,1),(119,1),(147,1)}
       102:{2,5,7}:{(83,1),(84,1),(118,1),(124,1)}
       103:{4,5,7}:{(84,1),(96,1),(119,1),(125,1)}
       104:{3}:{(85,1)}
       105:{1,2,4,7}:{(85,1),(86,1),(87,1),(89,1),(121,1),(122,1),(173,1)}
       106:{1,4,6}:{(86,1),(88,1),(90,1),(123,1)}
       107:{2,4,6}:{(87,1),(88,1),(91,1),(124,1)}
       108:{3,5}:{(88,1),(123,1),(124,1),(125,1)}
       109:{1,2,6}:{(89,1),(90,1),(91,1)}
       110:{1,3,5,6}:{(90,1),(92,1),(94,1),(97,1),(123,1),(126,1),(127,1),(132,1),(149,1),(151,1),(153,1),(167,1)}
       111:{2,3,5,6}:{(91,1),(92,1),(95,1),(118,1),(124,1),(126,1),(128,1),(147,1),(149,1),(152,1),(153,1),(168,1)}
       112:{4,6}:{(92,1),(96,1),(125,1)}
       113:{1,2,5,7}:{(93,1),(94,1),(95,1),(126,1),(129,1),(133,1),(148,1)}
       114:{1,4,7}:{(94,1),(96,1),(127,1),(130,1)}
       115:{2,4,7}:{(95,1),(96,1),(128,1),(131,1)}
       116:{1,4,6}:{(97,1),(98,1),(99,1),(132,1)}
       117:{3,5,7}:{(99,1),(130,1),(132,1),(133,1),(151,1)}
       118:{2,5,6}:{(100,1),(101,1),(102,1),(134,1)}
       119:{4,6}:{(101,1),(103,1)}
       120:{2,4,5,7}:{(102,1),(103,1),(115,1),(134,1),(135,1),(139,1)}
       121:{3,7}:{(104,1),(105,1),(136,1),(174,1)}
       122:{1,2,4,6}:{(105,1),(106,1),(107,1),(109,1),(136,1),(137,1),(159,1)}
       123:{1,5}:{(106,1),(108,1)}
       124:{2,5}:{(107,1),(108,1)}
       125:{4,5}:{(108,1),(112,1),(159,1)}
       126:{1,2,5,6}:{(109,1),(110,1),(111,1),(113,1),(137,1),(140,1),(146,1),(158,1),(161,1),(162,1),(172,1)}
       127:{1,4,6}:{(110,1),(112,1),(114,1),(138,1),(141,1),(159,1),(170,1)}
       128:{2,4,6}:{(111,1),(112,1),(115,1),(139,1),(142,1),(159,1),(171,1)}
       129:{1,2,4,7}:{(113,1),(114,1),(115,1),(140,1),(143,1),(144,1),(145,1),(165,1)}
       130:{3,4,7}:{(114,1),(117,1),(141,1),(143,1),(144,1)}
       131:{3,4,7}:{(115,1),(135,1),(142,1),(143,1),(145,1)}
       132:{3,6}:{(116,1),(117,1),(146,1)}
       133:{2,5,7}:{(117,1),(144,1),(146,1),(161,1)}
       134:{2,4,6}:{(118,1),(119,1),(120,1),(147,1)}
       135:{3,5,7}:{(120,1),(131,1),(147,1),(148,1),(152,1)}
       136:{3,6}:{(121,1),(122,1),(149,1)}
       137:{1,2,5}:{(122,1),(123,1),(124,1),(149,1)}
       138:{1,4,5}:{(123,1),(125,1),(127,1),(151,1)}
       139:{2,4,5}:{(124,1),(125,1),(128,1),(152,1)}
       140:{1,2,4,6}:{(126,1),(127,1),(128,1),(129,1),(150,1),(153,1),(154,1),(155,1),(169,1),(173,1)}
       141:{3,4,6}:{(127,1),(130,1),(132,1),(151,1),(153,1),(154,1),(166,1)}
       142:{3,4,6}:{(128,1),(131,1),(147,1),(152,1),(153,1),(155,1),(166,1)}
       143:{3,7}:{(129,1),(153,1)}
       144:{2,4,7}:{(130,1),(133,1),(154,1),(157,1)}
       145:{1,4,7}:{(131,1),(148,1),(155,1),(156,1)}
       146:{2,6}:{(132,1),(133,1)}
       147:{3,6}:{(134,1),(135,1),(158,1)}
       148:{1,5,7}:{(135,1),(145,1),(158,1),(162,1)}
       149:{3,5}:{(136,1),(137,1),(159,1)}
       150:{1,2,4,5}:{(137,1),(138,1),(139,1),(140,1),(159,1),(160,1),(161,1),(162,1),(170,1),(171,1),(172,1)}
       151:{3,5}:{(138,1),(141,1),(161,1)}
       152:{3,5}:{(139,1),(142,1),(162,1)}
       153:{3,6}:{(140,1),(143,1),(160,1),(174,1)}
       154:{2,4,6}:{(141,1),(144,1),(146,1),(161,1),(164,1),(171,1)}
       155:{1,4,6}:{(142,1),(145,1),(158,1),(162,1),(163,1),(170,1)}
       156:{1,3,7}:{(143,1),(145,1),(163,1),(165,1)}
       157:{2,3,7}:{(143,1),(144,1),(164,1),(165,1)}
       158:{1,6}:{(147,1),(148,1)}
       159:{4}:{(149,1)}
       160:{3,5}:{(150,1),(153,1),(166,1)}
       161:{2,5}:{(151,1),(154,1)}
       162:{1,5}:{(152,1),(155,1)}
       163:{1,3,6}:{(153,1),(155,1),(156,1),(167,1),(169,1)}
       164:{2,3,6}:{(153,1),(154,1),(157,1),(168,1),(169,1)}
       165:{1,2,7}:{(156,1),(157,1),(169,1)}
       166:{3,4}:{(159,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(160,1),(162,1),(163,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(160,1),(161,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(163,1),(164,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

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

 354 :   0:{2,4,5,6}:{(1,1),(2,1),(10,1),(88,1),(89,1)}
         1:{3,5,6}:{(0,1),(3,1),(4,1),(6,1)}
         2:{2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(70,1),(71,1)}
         3:{3,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(41,1)}
         4:{1,5,6}:{(1,1),(9,1),(13,1)}
         5:{2,3,5,6}:{(1,1),(10,1),(12,1),(14,1),(32,1),(41,1),(83,1),(88,1),(139,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(13,1),(15,1)}
         7:{2,4,6,7}:{(2,1),(15,1),(16,1),(50,1)}
         8:{3,4,5}:{(3,1),(17,1),(18,1),(56,1)}
         9:{1,4,6}:{(3,1),(4,1),(17,1),(20,1),(23,1)}
        10:{2,4,6}:{(3,1),(5,1),(18,1),(24,1),(160,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(24,1),(67,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(22,1),(26,1),(27,1),(54,1),(112,1),(117,1),(162,1)}
        13:{1,5,7}:{(4,1),(6,1),(23,1),(28,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(24,1),(27,1),(29,1),(67,1),(70,1),(124,1)}
        15:{3,6,7}:{(6,1),(7,1),(28,1)}
        16:{2,5,6,7}:{(7,1),(30,1),(70,1),(128,1)}
        17:{1,4,5}:{(8,1),(9,1),(31,1)}
        18:{2,4,5}:{(8,1),(10,1),(32,1),(177,1)}
        19:{3,4,5,7}:{(8,1),(11,1),(34,1),(35,1),(36,1),(45,1),(85,1),(145,1),(148,1),(171,1),(177,1)}
        20:{1,3,6}:{(9,1),(31,1),(37,1),(38,1),(41,1)}
        21:{2,3,4,6}:{(10,1),(32,1),(39,1),(40,1),(41,1),(83,1),(84,1),(90,1),(138,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(12,1),(33,1),(37,1),(41,1),(42,1),(46,1),(90,1)}
        23:{1,4,7}:{(9,1),(11,1),(13,1),(38,1)}
        24:{2,4,7}:{(10,1),(11,1),(14,1),(148,1)}
        25:{3,4,6,7}:{(11,1),(15,1),(36,1),(43,1),(44,1),(45,1),(50,1),(97,1),(102,1),(145,1),(148,1)}
        26:{1,3,5,6}:{(12,1),(41,1),(46,1),(47,1),(81,1),(95,1),(137,1),(139,1),(146,1),(150,1),(176,1)}
        27:{1,2,5,7}:{(12,1),(13,1),(14,1),(42,1),(47,1),(48,1),(141,1)}
        28:{1,6,7}:{(13,1),(15,1)}
        29:{2,3,6,7}:{(14,1),(15,1),(44,1),(48,1),(83,1),(97,1),(182,1)}
        30:{3,5,6,7}:{(15,1),(16,1),(45,1),(49,1),(50,1),(102,1)}
        31:{1,3,5}:{(17,1),(20,1),(51,1),(52,1),(56,1)}
        32:{2,3,5}:{(18,1),(21,1),(54,1),(56,1),(117,1),(159,1)}
        33:{1,2,4,5}:{(17,1),(18,1),(22,1),(52,1),(54,1),(56,1),(72,1),(106,1),(110,1),(117,1)}
        34:{1,4,5,7}:{(17,1),(19,1),(23,1),(53,1),(58,1),(69,1),(121,1),(153,1)}
        35:{2,4,5,7}:{(18,1),(19,1),(24,1),(55,1),(59,1),(70,1),(166,1),(186,1)}
        36:{3,4,6}:{(19,1),(58,1),(59,1),(60,1),(114,1),(160,1)}
        37:{1,2,6}:{(20,1),(52,1),(61,1),(62,1)}
        38:{1,3,7}:{(20,1),(23,1),(62,1),(67,1)}
        39:{1,2,4,6}:{(21,1),(54,1),(64,1),(65,1),(110,1),(112,1),(158,1)}
        40:{2,3,4,7}:{(21,1),(24,1),(55,1),(65,1),(67,1),(113,1),(118,1),(204,1)}
        41:{3,6}:{(22,1),(56,1),(67,1)}
        42:{1,2,4,7}:{(22,1),(23,1),(24,1),(27,1),(62,1),(67,1),(73,1),(118,1)}
        43:{1,4,6,7}:{(23,1),(25,1),(28,1),(58,1),(63,1),(69,1),(121,1)}
        44:{2,4,6,7}:{(24,1),(25,1),(29,1),(59,1),(70,1),(128,1),(166,1)}
        45:{3,5,7}:{(25,1),(60,1),(69,1),(70,1),(71,1)}
        46:{1,4,6}:{(26,1),(66,1),(72,1),(73,1),(110,1),(160,1)}
        47:{1,3,5,7}:{(26,1),(27,1),(67,1),(73,1),(74,1),(122,1),(124,1),(127,1)}
        48:{1,2,6,7}:{(27,1),(28,1),(29,1),(74,1),(112,1),(162,1),(194,1)}
        49:{1,5,6,7}:{(28,1),(30,1),(69,1),(75,1)}
        50:{4,6,7}:{(30,1),(71,1)}
        51:{1,3,4}:{(31,1),(76,1),(84,1)}
        52:{1,2,5}:{(31,1),(37,1),(76,1),(78,1)}
        53:{1,3,5,7}:{(31,1),(34,1),(38,1),(77,1),(79,1),(80,1),(85,1),(131,1),(202,1)}
        54:{1,2,5}:{(32,1),(39,1),(81,1),(176,1)}
        55:{2,3,5,7}:{(32,1),(35,1),(40,1),(82,1),(83,1),(85,1),(141,1),(182,1),(197,1)}
        56:{3,5}:{(33,1),(41,1),(84,1)}
        57:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(42,1),(79,1),(82,1),(85,1),(86,1),(98,1),(100,1),(132,1),(136,1),(141,1),(144,1),(148,1),(170,1),(172,1),(176,1),(177,1),(179,1),(202,1)}
        58:{1,4,6}:{(34,1),(36,1),(80,1),(87,1)}
        59:{2,4,6}:{(35,1),(36,1),(83,1),(88,1)}
        60:{3,5,6}:{(36,1),(45,1),(87,1),(88,1),(89,1)}
        61:{2,3,6}:{(37,1),(41,1),(78,1),(90,1),(91,1)}
        62:{1,2,7}:{(37,1),(38,1),(91,1)}
        63:{1,3,6,7}:{(38,1),(43,1),(80,1),(92,1),(93,1),(97,1),(102,1)}
        64:{1,3,6}:{(39,1),(41,1),(81,1),(94,1)}
        65:{1,2,4,7}:{(39,1),(40,1),(82,1),(94,1),(136,1),(208,1)}
        66:{3,4,6}:{(41,1),(46,1),(84,1),(90,1),(95,1),(96,1),(146,1)}
        67:{3,7}:{(41,1),(42,1)}
        68:{1,2,4,6,7}:{(42,1),(43,1),(44,1),(48,1),(86,1),(92,1),(97,1),(98,1),(101,1),(142,1),(144,1),(148,1)}
        69:{1,5,7}:{(43,1),(45,1),(87,1)}
        70:{2,5,7}:{(44,1),(45,1),(88,1)}
        71:{4,5,7}:{(45,1),(50,1),(89,1),(148,1)}
        72:{1,4,5}:{(46,1),(95,1),(176,1),(177,1)}
        73:{1,4,7}:{(46,1),(47,1),(96,1),(148,1)}
        74:{1,3,6,7}:{(47,1),(48,1),(97,1),(101,1),(137,1),(146,1),(181,1)}
        75:{1,4,6,7}:{(49,1),(50,1),(99,1),(102,1)}
        76:{1,2,4}:{(51,1),(52,1),(103,1),(106,1)}
        77:{1,3,4,7}:{(51,1),(53,1),(104,1),(105,1),(113,1),(121,1),(165,1),(193,1)}
        78:{2,3,5}:{(52,1),(56,1),(61,1),(103,1),(106,1),(117,1)}
        79:{1,2,5,7}:{(52,1),(53,1),(62,1),(104,1),(107,1),(108,1),(152,1)}
        80:{1,3,6}:{(53,1),(58,1),(108,1),(114,1),(207,1)}
        81:{1,3,5}:{(54,1),(56,1),(64,1),(110,1)}
        82:{1,2,5,7}:{(54,1),(55,1),(65,1),(111,1),(112,1),(194,1),(205,1)}
        83:{2,3,6}:{(55,1),(59,1),(112,1),(114,1),(162,1)}
        84:{3,4}:{(56,1),(106,1),(110,1)}
        85:{3,5,7}:{(56,1),(57,1),(67,1),(113,1),(114,1),(159,1),(165,1),(185,1)}
        86:{1,2,4,6}:{(57,1),(58,1),(59,1),(108,1),(112,1),(114,1),(115,1),(126,1),(154,1),(158,1),(160,1),(162,1),(191,1),(207,1)}
        87:{1,5,6}:{(58,1),(60,1),(69,1)}
        88:{2,5,6}:{(59,1),(60,1),(70,1)}
        89:{4,5,6}:{(60,1),(71,1),(160,1)}
        90:{2,4,6}:{(61,1),(66,1),(106,1),(117,1),(118,1),(162,1)}
        91:{2,3,7}:{(61,1),(62,1),(67,1),(118,1)}
        92:{1,2,6,7}:{(62,1),(63,1),(108,1),(119,1),(120,1),(128,1),(207,1)}
        93:{1,3,5,7}:{(63,1),(69,1),(109,1),(120,1),(121,1),(124,1),(125,1),(165,1)}
        94:{1,3,7}:{(64,1),(65,1),(67,1),(209,1)}
        95:{3,5}:{(66,1),(72,1),(117,1)}
        96:{3,4,7}:{(66,1),(67,1),(73,1),(118,1),(122,1)}
        97:{3,6,7}:{(67,1),(68,1),(114,1),(124,1),(165,1)}
        98:{1,2,5,7}:{(68,1),(69,1),(70,1),(115,1),(124,1),(127,1),(163,1)}
        99:{1,4,5,7}:{(69,1),(71,1),(75,1),(116,1),(121,1),(125,1)}
       100:{1,4,5,7}:{(72,1),(73,1),(122,1),(126,1),(127,1),(168,1)}
       101:{1,4,6,7}:{(73,1),(74,1),(123,1),(126,1),(127,1),(158,1),(193,1),(207,1)}
       102:{3,6,7}:{(75,1),(125,1),(128,1)}
       103:{2,3}:{(76,1)}
       104:{1,2,4,7}:{(76,1),(77,1),(79,1),(129,1),(130,1),(132,1)}
       105:{1,3,4,6}:{(77,1),(80,1),(130,1),(131,1),(135,1),(138,1),(174,1),(195,1),(199,1)}
       106:{2,4}:{(78,1),(84,1)}
       107:{2,3,5,7}:{(78,1),(79,1),(85,1),(91,1),(129,1),(132,1),(133,1),(141,1),(169,1),(172,1)}
       108:{1,2,6}:{(79,1),(80,1),(133,1)}
       109:{1,3,5,6}:{(80,1),(87,1),(93,1),(131,1),(134,1),(135,1),(139,1),(140,1),(174,1)}
       110:{1,4}:{(81,1),(84,1)}
       111:{1,3,5,7}:{(81,1),(82,1),(85,1),(94,1),(136,1),(137,1),(176,1),(181,1),(196,1),(202,1)}
       112:{1,2,6}:{(82,1),(83,1),(137,1)}
       113:{3,4,7}:{(84,1),(85,1),(132,1),(136,1),(138,1),(148,1),(195,1)}
       114:{3,6}:{(85,1),(86,1)}
       115:{1,2,5,6}:{(86,1),(87,1),(88,1),(98,1),(139,1),(150,1),(172,1),(176,1),(178,1)}
       116:{1,4,5,6}:{(87,1),(89,1),(99,1),(135,1),(140,1)}
       117:{2,5}:{(90,1),(95,1)}
       118:{2,4,7}:{(90,1),(91,1),(96,1),(141,1)}
       119:{2,3,6,7}:{(91,1),(92,1),(97,1),(133,1),(142,1),(143,1),(201,1)}
       120:{1,2,5,7}:{(92,1),(93,1),(134,1),(143,1),(144,1),(149,1),(202,1)}
       121:{1,4,7}:{(93,1),(135,1),(145,1),(148,1)}
       122:{3,5,7}:{(95,1),(96,1),(100,1),(141,1),(146,1)}
       123:{3,4,6,7}:{(96,1),(97,1),(101,1),(138,1),(142,1),(146,1),(147,1),(148,1),(180,1),(183,1),(201,1)}
       124:{3,5,7}:{(97,1),(98,1),(139,1),(148,1)}
       125:{3,5,7}:{(99,1),(102,1),(140,1),(145,1),(149,1)}
       126:{1,4,6}:{(100,1),(146,1),(150,1),(183,1)}
       127:{1,5,7}:{(101,1),(147,1),(150,1),(176,1)}
       128:{2,6,7}:{(102,1),(149,1)}
       129:{2,3,7}:{(103,1),(104,1),(151,1),(165,1)}
       130:{1,2,4,6}:{(104,1),(105,1),(108,1),(151,1),(152,1),(154,1),(184,1)}
       131:{1,3,5}:{(105,1),(152,1),(153,1),(159,1),(185,1),(206,1)}
       132:{2,4,7}:{(106,1),(107,1),(113,1),(154,1),(184,1)}
       133:{2,3,6}:{(107,1),(108,1),(114,1),(154,1),(162,1)}
       134:{1,2,5,6}:{(108,1),(109,1),(120,1),(152,1),(155,1),(156,1),(161,1),(206,1),(207,1)}
       135:{1,4,6}:{(109,1),(121,1),(153,1),(157,1),(160,1)}
       136:{1,4,7}:{(110,1),(111,1),(113,1),(158,1),(203,1)}
       137:{1,3,6}:{(111,1),(112,1),(114,1),(158,1),(207,1)}
       138:{3,4,6}:{(113,1),(114,1),(154,1),(158,1),(159,1),(160,1)}
       139:{3,5,6}:{(114,1),(115,1),(124,1),(159,1),(160,1)}
       140:{3,5,6}:{(116,1),(125,1),(157,1),(161,1)}
       141:{2,5,7}:{(117,1),(118,1),(122,1),(162,1)}
       142:{2,4,6,7}:{(118,1),(119,1),(123,1),(154,1),(162,1),(163,1),(164,1),(191,1)}
       143:{2,3,5,7}:{(119,1),(120,1),(124,1),(155,1),(163,1),(164,1),(165,1),(192,1)}
       144:{1,2,4,7}:{(120,1),(121,1),(156,1),(164,1),(165,1),(166,1),(193,1),(194,1)}
       145:{3,4,7}:{(121,1),(125,1),(157,1),(165,1),(166,1)}
       146:{3,6}:{(122,1),(126,1),(162,1)}
       147:{3,5,7}:{(123,1),(127,1),(159,1),(163,1),(167,1),(168,1)}
       148:{4,7}:{(124,1),(160,1)}
       149:{2,5,7}:{(125,1),(128,1),(161,1),(166,1)}
       150:{1,5,6}:{(126,1),(127,1),(167,1),(207,1)}
       151:{2,3,6}:{(129,1),(130,1),(169,1),(174,1)}
       152:{1,2,5}:{(130,1),(131,1),(169,1),(172,1)}
       153:{1,4,5}:{(131,1),(135,1),(171,1),(177,1)}
       154:{2,4,6}:{(132,1),(133,1),(138,1),(172,1)}
       155:{2,3,5,6}:{(133,1),(134,1),(139,1),(143,1),(169,1),(172,1),(173,1),(174,1),(178,1),(198,1),(201,1)}
       156:{1,2,4,6}:{(134,1),(135,1),(144,1),(170,1),(173,1),(174,1),(175,1),(199,1),(200,1)}
       157:{3,4,6}:{(135,1),(140,1),(145,1),(171,1),(174,1),(175,1)}
       158:{1,4,6}:{(136,1),(137,1),(138,1),(176,1)}
       159:{3,5}:{(138,1),(172,1),(176,1),(177,1)}
       160:{4,6}:{(139,1),(148,1),(177,1)}
       161:{2,5,6}:{(140,1),(149,1),(175,1)}
       162:{2,6}:{(141,1),(146,1)}
       163:{2,5,7}:{(142,1),(147,1),(172,1),(178,1)}
       164:{2,4,7}:{(143,1),(148,1),(173,1),(180,1)}
       165:{3,7}:{(144,1),(174,1)}
       166:{2,4,7}:{(145,1),(149,1),(175,1),(182,1)}
       167:{3,5,6}:{(146,1),(147,1),(150,1),(178,1),(183,1),(201,1)}
       168:{4,5,7}:{(147,1),(148,1),(177,1),(183,1)}
       169:{2,3,5}:{(151,1),(152,1),(184,1),(185,1)}
       170:{1,2,4,5}:{(152,1),(153,1),(156,1),(184,1),(185,1),(186,1),(187,1),(203,1),(205,1),(206,1)}
       171:{3,4,5}:{(153,1),(157,1),(185,1),(186,1)}
       172:{2,5}:{(154,1),(159,1)}
       173:{2,4,6}:{(155,1),(160,1),(164,1),(184,1),(187,1),(188,1)}
       174:{3,6}:{(156,1),(165,1),(185,1)}
       175:{2,4,6}:{(157,1),(161,1),(166,1),(186,1),(190,1)}
       176:{1,5}:{(158,1),(159,1)}
       177:{4,5}:{(159,1),(160,1)}
       178:{2,5,6}:{(162,1),(163,1),(167,1),(191,1)}
       179:{2,4,5,7}:{(163,1),(164,1),(168,1),(187,1),(191,1),(192,1)}
       180:{3,4,7}:{(164,1),(165,1),(188,1),(192,1),(193,1)}
       181:{1,3,7}:{(165,1),(189,1),(193,1),(194,1)}
       182:{2,3,7}:{(165,1),(166,1),(190,1),(194,1)}
       183:{4,6}:{(167,1),(168,1)}
       184:{2,4}:{(169,1),(195,1)}
       185:{3,5}:{(170,1),(174,1),(195,1)}
       186:{2,4,5}:{(171,1),(175,1),(197,1)}
       187:{2,4,5}:{(172,1),(173,1),(177,1),(198,1)}
       188:{3,4,6}:{(173,1),(174,1),(180,1),(195,1),(198,1),(199,1),(201,1)}
       189:{1,3,6}:{(174,1),(181,1),(196,1),(199,1),(200,1)}
       190:{2,3,6}:{(174,1),(175,1),(182,1),(197,1),(200,1)}
       191:{2,4,6}:{(178,1),(179,1),(183,1),(201,1)}
       192:{3,5,7}:{(179,1),(180,1),(198,1),(201,1),(202,1)}
       193:{1,4,7}:{(180,1),(181,1),(199,1),(202,1)}
       194:{1,2,7}:{(181,1),(182,1),(200,1)}
       195:{3,4}:{(184,1),(185,1),(203,1)}
       196:{1,3,5}:{(185,1),(189,1),(203,1),(205,1),(206,1),(209,1)}
       197:{2,3,5}:{(185,1),(186,1),(190,1),(204,1),(205,1)}
       198:{3,5}:{(187,1),(188,1),(206,1)}
       199:{1,4,6}:{(188,1),(189,1),(193,1),(203,1),(206,1),(207,1)}
       200:{1,2,6}:{(189,1),(190,1),(194,1),(205,1)}
       201:{3,6}:{(191,1),(192,1),(207,1)}
       202:{1,5,7}:{(192,1),(193,1),(206,1),(207,1)}
       203:{1,4}:{(195,1),(196,1)}
       204:{2,3,4}:{(195,1),(197,1),(208,1)}
       205:{1,2,5}:{(196,1),(197,1),(200,1),(208,1)}
       206:{1,5}:{(198,1),(199,1)}
       207:{1,6}:{(201,1),(202,1)}
       208:{1,2,4}:{(203,1),(204,1),(205,1),(209,1)}
       209:{1,3}:{(208,1)}

 355 :   0:{2,4,5,7}:{(2,1),(3,1),(5,1),(14,1),(21,1),(37,1),(38,1)}
         1:{2,4,6,7}:{(3,1),(4,1),(5,1),(21,1)}
         2:{3,5,7}:{(0,1),(6,1),(7,1),(9,1),(26,1)}
         3:{2,4,6}:{(0,1),(9,1),(10,1),(30,1)}
         4:{3,6,7}:{(1,1),(9,1),(11,1),(12,1)}
         5:{2,5,7}:{(1,1),(10,1),(12,1),(53,1)}
         6:{3,4,7}:{(2,1),(13,1),(14,1),(15,1),(21,1),(34,1),(42,1)}
         7:{1,5,7}:{(2,1),(13,1),(17,1),(36,1)}
         8:{2,3,5,7}:{(2,1),(14,1),(16,1),(18,1),(34,1),(37,1),(60,1)}
         9:{3,6}:{(2,1),(3,1),(17,1)}
        10:{2,5,6}:{(3,1),(5,1),(19,1),(37,1),(64,1)}
        11:{1,6,7}:{(4,1),(17,1),(20,1)}
        12:{3,5,7}:{(4,1),(5,1),(19,1),(20,1),(21,1),(42,1)}
        13:{1,4,7}:{(6,1),(7,1),(22,1),(24,1)}
        14:{2,4,7}:{(6,1),(8,1),(25,1),(53,1),(72,1)}
        15:{3,4,6}:{(6,1),(9,1),(24,1),(25,1),(26,1),(30,1),(47,1),(52,1),(69,1),(72,1)}
        16:{1,2,5,7}:{(7,1),(8,1),(23,1),(27,1),(28,1),(48,1),(65,1)}
        17:{1,6}:{(7,1),(9,1)}
        18:{2,3,6}:{(8,1),(9,1),(25,1),(28,1),(47,1),(90,1)}
        19:{3,5,6}:{(9,1),(10,1),(12,1),(26,1),(29,1),(30,1),(52,1)}
        20:{1,5,7}:{(11,1),(12,1),(29,1),(31,1)}
        21:{4,7}:{(12,1),(30,1)}
        22:{1,3,7}:{(13,1),(32,1),(33,1),(34,1),(42,1)}
        23:{1,2,4,7}:{(13,1),(14,1),(16,1),(32,1),(34,1),(35,1),(39,1),(54,1)}
        24:{1,4,6}:{(13,1),(15,1),(17,1),(33,1),(36,1),(57,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(37,1),(64,1),(80,1)}
        26:{3,5}:{(15,1),(36,1),(37,1),(38,1)}
        27:{1,3,5,7}:{(16,1),(34,1),(39,1),(40,1),(58,1),(60,1),(63,1)}
        28:{1,2,6}:{(16,1),(17,1),(18,1),(40,1),(76,1),(97,1)}
        29:{1,5,6}:{(17,1),(19,1),(20,1),(36,1),(41,1)}
        30:{4,6}:{(19,1),(21,1),(38,1)}
        31:{1,4,7}:{(20,1),(21,1),(41,1),(42,1)}
        32:{1,2,7}:{(22,1),(43,1),(44,1),(53,1),(104,1)}
        33:{1,3,6}:{(22,1),(24,1),(44,1),(45,1),(47,1),(52,1)}
        34:{3,7}:{(23,1),(47,1)}
        35:{1,2,4,6}:{(23,1),(24,1),(25,1),(28,1),(44,1),(47,1),(48,1),(51,1),(66,1),(68,1),(72,1)}
        36:{1,5}:{(24,1),(26,1)}
        37:{2,5}:{(25,1),(26,1)}
        38:{4,5}:{(26,1),(30,1),(72,1)}
        39:{1,4,7}:{(27,1),(46,1),(51,1),(72,1),(104,1)}
        40:{1,3,6}:{(27,1),(28,1),(47,1),(51,1),(70,1),(89,1)}
        41:{1,4,6}:{(29,1),(30,1),(31,1),(49,1),(52,1)}
        42:{3,7}:{(31,1),(52,1),(53,1)}
        43:{2,3,7}:{(32,1),(34,1),(54,1),(55,1),(102,1)}
        44:{1,2,6}:{(32,1),(33,1),(55,1),(56,1),(64,1),(103,1)}
        45:{1,3,5}:{(33,1),(36,1),(56,1),(57,1),(60,1),(61,1),(79,1)}
        46:{3,4,7}:{(34,1),(39,1),(54,1),(58,1),(59,1),(98,1),(102,1)}
        47:{3,6}:{(34,1),(35,1),(60,1),(79,1)}
        48:{1,2,5}:{(35,1),(36,1),(37,1),(60,1),(63,1),(77,1)}
        49:{1,4,5}:{(36,1),(38,1),(41,1),(57,1),(61,1)}
        50:{1,4,5,7}:{(39,1),(58,1),(62,1),(63,1),(83,1),(84,1),(98,1)}
        51:{1,4,6}:{(39,1),(40,1),(59,1),(63,1),(96,1),(103,1)}
        52:{3,6}:{(41,1),(42,1),(61,1),(64,1)}
        53:{2,7}:{(42,1),(64,1)}
        54:{2,4,7}:{(43,1),(46,1),(65,1),(66,1)}
        55:{2,3,6}:{(43,1),(44,1),(47,1),(66,1),(67,1),(100,1)}
        56:{1,2,5}:{(44,1),(45,1),(67,1),(68,1),(73,1),(101,1)}
        57:{1,4}:{(45,1),(69,1),(72,1)}
        58:{3,5,7}:{(46,1),(50,1),(65,1),(70,1),(71,1)}
        59:{3,4,6}:{(46,1),(47,1),(51,1),(66,1),(70,1),(71,1),(72,1),(88,1),(92,1),(100,1)}
        60:{3,5}:{(47,1),(48,1),(72,1)}
        61:{3,5}:{(49,1),(52,1),(69,1),(73,1)}
        62:{1,4,6}:{(50,1),(70,1),(75,1),(92,1)}
        63:{1,5}:{(51,1),(71,1)}
        64:{2,6}:{(52,1),(53,1),(73,1)}
        65:{2,5,7}:{(54,1),(58,1),(76,1),(77,1)}
        66:{2,4,6}:{(54,1),(55,1),(59,1),(76,1),(77,1),(78,1)}
        67:{2,3,5}:{(55,1),(56,1),(60,1),(77,1),(78,1),(79,1),(95,1)}
        68:{1,2,4}:{(56,1),(57,1),(78,1),(79,1),(80,1),(96,1),(97,1)}
        69:{3,4}:{(57,1),(61,1),(79,1),(80,1)}
        70:{3,6}:{(58,1),(62,1),(76,1)}
        71:{3,5}:{(59,1),(63,1),(77,1),(83,1)}
        72:{4}:{(60,1)}
        73:{2,5}:{(61,1),(64,1),(80,1)}
        74:{1,4,6,7}:{(62,1),(81,1),(84,1),(98,1)}
        75:{1,5,6}:{(62,1),(63,1),(82,1),(84,1),(103,1)}
        76:{2,6}:{(65,1),(70,1)}
        77:{2,5}:{(66,1),(71,1)}
        78:{2,4}:{(67,1),(72,1),(88,1)}
        79:{3}:{(68,1)}
        80:{2,4}:{(69,1),(73,1),(90,1)}
        81:{3,6,7}:{(70,1),(74,1),(85,1),(91,1)}
        82:{3,5,6}:{(70,1),(71,1),(75,1),(86,1),(91,1),(92,1),(100,1)}
        83:{4,5}:{(71,1),(72,1),(92,1)}
        84:{1,5,7}:{(74,1),(75,1),(91,1),(104,1)}
        85:{2,6,7}:{(76,1),(81,1),(93,1)}
        86:{2,5,6}:{(76,1),(77,1),(82,1),(93,1),(94,1)}
        87:{2,4,5}:{(77,1),(78,1),(83,1),(94,1),(95,1)}
        88:{3,4}:{(78,1),(79,1),(95,1),(96,1)}
        89:{1,3}:{(79,1),(96,1),(97,1)}
        90:{2,3}:{(79,1),(80,1),(97,1)}
        91:{3,5,7}:{(81,1),(82,1),(84,1),(93,1),(98,1),(102,1)}
        92:{4,6}:{(82,1),(83,1),(98,1)}
        93:{2,5,7}:{(85,1),(86,1),(91,1),(99,1)}
        94:{2,4,6}:{(86,1),(87,1),(92,1),(99,1),(100,1)}
        95:{3,5}:{(87,1),(88,1),(100,1),(101,1)}
        96:{1,4}:{(88,1),(89,1),(101,1)}
        97:{1,2}:{(89,1),(90,1)}
        98:{4,7}:{(91,1),(92,1)}
        99:{2,4,7}:{(93,1),(94,1),(98,1),(102,1)}
       100:{3,6}:{(94,1),(95,1),(102,1),(103,1)}
       101:{1,5}:{(95,1),(96,1),(103,1)}
       102:{3,7}:{(99,1),(100,1),(104,1)}
       103:{1,6}:{(100,1),(101,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

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

 357 :  0:{1,2,5,6}:{(2,1),(3,1),(4,1),(34,1),(35,1),(53,1),(54,1)}
        1:{1,2,4,5}:{(3,1),(5,1),(14,1),(18,1),(19,1),(23,1),(34,1),(35,1)}
        2:{3,5,6}:{(0,1),(6,1),(7,1),(9,1),(24,1),(47,1),(48,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(6,1),(9,1),(10,1),(26,1),(27,1),(31,1)}
        4:{1,2,5,7}:{(0,1),(7,1),(10,1),(11,1),(45,1),(46,1)}
        5:{3,5}:{(1,1),(8,1),(9,1)}
        6:{4,6}:{(2,1),(14,1),(16,1)}
        7:{3,5,7}:{(2,1),(4,1),(16,1),(17,1),(22,1),(41,1)}
        8:{3,4}:{(5,1),(18,1),(19,1),(42,1)}
        9:{3,6}:{(3,1),(5,1),(22,1)}
       10:{1,2,4,7}:{(3,1),(4,1),(16,1),(22,1),(39,1),(40,1),(43,1)}
       11:{1,2,6,7}:{(4,1),(17,1),(53,1),(54,1)}
       12:{1,3,5}:{(5,1),(18,1),(20,1),(23,1),(34,1),(42,1),(51,1)}
       13:{2,3,5}:{(5,1),(19,1),(21,1),(23,1),(35,1),(42,1),(51,1)}
       14:{4,5}:{(6,1),(24,1),(56,1)}
       15:{3,4,6}:{(6,1),(8,1),(9,1),(24,1),(26,1),(27,1),(28,1),(47,1),(49,1),(56,1),(61,1)}
       16:{4,7}:{(6,1),(7,1)}
       17:{3,6,7}:{(7,1),(11,1),(29,1),(47,1)}
       18:{1,4}:{(8,1),(12,1),(56,1)}
       19:{2,4}:{(8,1),(13,1),(56,1)}
       20:{1,3,6}:{(9,1),(12,1),(26,1),(31,1),(32,1),(49,1)}
       21:{2,3,6}:{(9,1),(13,1),(27,1),(31,1),(33,1),(49,1)}
       22:{3,7}:{(9,1),(10,1)}
       23:{1,2,5}:{(12,1),(13,1),(30,1),(31,1)}
       24:{3,5}:{(14,1),(15,1),(34,1),(35,1),(62,1)}
       25:{4,5,7}:{(14,1),(16,1),(36,1),(37,1),(41,1),(59,1),(62,1)}
       26:{1,4,6}:{(15,1),(18,1),(20,1),(34,1),(39,1),(53,1)}
       27:{2,4,6}:{(15,1),(19,1),(21,1),(35,1),(40,1),(54,1)}
       28:{3,4,7}:{(15,1),(16,1),(22,1),(36,1),(39,1),(40,1),(55,1),(59,1)}
       29:{4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
       30:{1,2,4}:{(18,1),(19,1),(23,1),(42,1)}
       31:{1,2,6}:{(20,1),(21,1),(23,1),(43,1)}
       32:{1,3,7}:{(20,1),(22,1),(39,1),(43,1),(55,1)}
       33:{2,3,7}:{(21,1),(22,1),(40,1),(43,1),(55,1)}
       34:{1,5}:{(24,1),(26,1)}
       35:{2,5}:{(24,1),(27,1)}
       36:{3,5,7}:{(24,1),(25,1),(28,1),(45,1),(46,1),(47,1)}
       37:{4,6}:{(25,1),(47,1),(48,1)}
       38:{1,2,4,6}:{(26,1),(27,1),(30,1),(31,1),(44,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       39:{1,4,7}:{(26,1),(28,1),(32,1),(45,1)}
       40:{2,4,7}:{(27,1),(28,1),(33,1),(46,1)}
       41:{5,7}:{(29,1),(48,1)}
       42:{3}:{(30,1)}
       43:{1,2,7}:{(31,1),(32,1),(33,1)}
       44:{1,2,5}:{(34,1),(35,1),(38,1),(51,1),(62,1)}
       45:{1,5,7}:{(34,1),(36,1),(39,1),(53,1)}
       46:{2,5,7}:{(35,1),(36,1),(40,1),(54,1)}
       47:{3,6}:{(36,1),(37,1),(53,1),(54,1)}
       48:{5,6}:{(37,1),(41,1),(62,1)}
       49:{3,6}:{(38,1),(42,1),(51,1),(55,1)}
       50:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(52,1),(55,1),(59,1)}
       51:{3,5}:{(44,1),(49,1),(56,1)}
       52:{1,2,5,7}:{(44,1),(45,1),(46,1),(50,1),(57,1),(58,1)}
       53:{1,6}:{(45,1),(47,1)}
       54:{2,6}:{(46,1),(47,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{4}:{(51,1)}
       57:{3,5,7}:{(51,1),(52,1),(55,1),(59,1),(60,1),(62,1)}
       58:{1,2,6}:{(52,1),(53,1),(54,1),(60,1)}
       59:{4,7}:{(56,1),(57,1),(61,1)}
       60:{3,6}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 358 :   0:{3,4,5,7}:{(1,1),(2,1),(3,1),(19,1),(20,1),(108,1),(111,1),(115,1),(123,1),(131,1),(134,1)}
         1:{1,4,5,7}:{(0,1),(4,1),(8,1),(39,1),(78,1),(84,1),(140,1),(152,1)}
         2:{2,4,5,7}:{(0,1),(5,1),(9,1),(40,1),(81,1),(91,1),(137,1),(144,1)}
         3:{3,4,6}:{(0,1),(8,1),(9,1),(10,1),(43,1),(103,1)}
         4:{1,3,5,7}:{(1,1),(11,1),(13,1),(14,1),(20,1),(49,1),(165,1),(178,1),(203,1)}
         5:{2,3,5,7}:{(2,1),(12,1),(15,1),(16,1),(20,1),(52,1),(163,1),(171,1),(205,1)}
         6:{3,4,6,7}:{(3,1),(17,1),(18,1),(19,1),(67,1),(68,1),(115,1),(123,1),(128,1),(129,1),(131,1)}
         7:{1,2,4,5,7}:{(1,1),(2,1),(13,1),(15,1),(20,1),(21,1),(55,1),(61,1),(69,1),(107,1),(110,1),(114,1),(116,1),(122,1),(124,1),(131,1),(134,1),(168,1),(176,1),(203,1),(205,1)}
         8:{1,4,6}:{(1,1),(3,1),(14,1),(22,1)}
         9:{2,4,6}:{(2,1),(3,1),(16,1),(23,1)}
        10:{3,5,6}:{(3,1),(19,1),(22,1),(23,1),(24,1)}
        11:{1,3,4,7}:{(4,1),(25,1),(26,1),(42,1),(84,1),(143,1),(187,1),(192,1)}
        12:{2,3,4,7}:{(5,1),(27,1),(28,1),(42,1),(91,1),(151,1),(185,1),(197,1)}
        13:{1,2,5,7}:{(4,1),(25,1),(30,1),(31,1),(77,1),(189,1),(198,1)}
        14:{1,3,6}:{(4,1),(8,1),(31,1),(43,1),(208,1)}
        15:{1,2,5,7}:{(5,1),(27,1),(34,1),(35,1),(80,1),(186,1),(193,1)}
        16:{2,3,6}:{(5,1),(9,1),(35,1),(43,1),(209,1)}
        17:{1,4,6,7}:{(6,1),(8,1),(29,1),(39,1),(84,1),(152,1),(158,1)}
        18:{2,4,6,7}:{(6,1),(9,1),(33,1),(40,1),(91,1),(144,1),(157,1)}
        19:{3,5,7}:{(6,1),(10,1),(39,1),(40,1),(41,1)}
        20:{3,5,7}:{(7,1),(42,1),(43,1),(102,1),(136,1),(139,1),(143,1),(151,1)}
        21:{1,2,4,6}:{(7,1),(8,1),(9,1),(31,1),(35,1),(43,1),(44,1),(85,1),(92,1),(103,1),(190,1),(195,1),(208,1),(209,1)}
        22:{1,5,6}:{(8,1),(10,1),(39,1)}
        23:{2,5,6}:{(9,1),(10,1),(40,1)}
        24:{4,5,6}:{(10,1),(41,1),(103,1)}
        25:{1,2,4,7}:{(11,1),(13,1),(47,1),(48,1),(55,1),(201,1)}
        26:{1,3,4,6}:{(11,1),(14,1),(48,1),(49,1),(58,1),(72,1),(118,1),(161,1),(173,1)}
        27:{1,2,4,7}:{(12,1),(15,1),(50,1),(51,1),(61,1),(200,1)}
        28:{2,3,4,6}:{(12,1),(16,1),(51,1),(52,1),(64,1),(72,1),(126,1),(164,1),(181,1)}
        29:{1,3,6,7}:{(14,1),(17,1),(53,1),(54,1),(68,1),(128,1),(178,1)}
        30:{2,3,5,7}:{(13,1),(20,1),(47,1),(55,1),(56,1),(106,1),(116,1),(166,1),(179,1),(205,1)}
        31:{1,2,6}:{(13,1),(14,1),(56,1)}
        32:{1,3,5,6}:{(14,1),(22,1),(49,1),(54,1),(57,1),(58,1),(73,1),(74,1),(118,1)}
        33:{2,3,6,7}:{(16,1),(18,1),(59,1),(60,1),(68,1),(129,1),(171,1)}
        34:{1,3,5,7}:{(15,1),(20,1),(50,1),(61,1),(62,1),(109,1),(124,1),(162,1),(170,1),(203,1)}
        35:{1,2,6}:{(15,1),(16,1),(62,1)}
        36:{2,3,5,6}:{(16,1),(23,1),(52,1),(60,1),(63,1),(64,1),(73,1),(75,1),(126,1)}
        37:{3,5,6,7}:{(19,1),(65,1),(66,1),(67,1),(128,1),(129,1)}
        38:{1,2,4,6,7}:{(17,1),(18,1),(21,1),(53,1),(59,1),(68,1),(69,1),(112,1),(114,1),(120,1),(122,1),(131,1)}
        39:{1,5,7}:{(17,1),(19,1),(22,1)}
        40:{2,5,7}:{(18,1),(19,1),(23,1)}
        41:{4,5,7}:{(19,1),(24,1),(67,1),(131,1)}
        42:{3,4,7}:{(20,1),(55,1),(61,1),(72,1),(131,1),(161,1),(164,1)}
        43:{3,6}:{(20,1),(21,1)}
        44:{1,2,5,6}:{(21,1),(22,1),(23,1),(69,1),(73,1),(116,1),(124,1),(167,1),(175,1)}
        45:{1,4,5,6}:{(22,1),(24,1),(58,1),(70,1),(74,1)}
        46:{2,4,5,6}:{(23,1),(24,1),(64,1),(71,1),(75,1)}
        47:{2,3,7}:{(25,1),(76,1),(143,1),(207,1)}
        48:{1,2,4,6}:{(25,1),(26,1),(31,1),(76,1),(77,1),(85,1),(135,1)}
        49:{1,3,5}:{(26,1),(77,1),(78,1),(102,1),(136,1),(194,1)}
        50:{1,3,7}:{(27,1),(79,1),(151,1),(206,1)}
        51:{1,2,4,6}:{(27,1),(28,1),(35,1),(79,1),(80,1),(92,1),(138,1)}
        52:{2,3,5}:{(28,1),(80,1),(81,1),(102,1),(139,1),(199,1)}
        53:{1,2,6,7}:{(29,1),(31,1),(82,1),(83,1),(157,1),(198,1),(208,1)}
        54:{1,3,5,7}:{(29,1),(32,1),(39,1),(83,1),(84,1),(99,1),(100,1),(143,1)}
        55:{2,4,7}:{(30,1),(42,1),(85,1),(135,1),(188,1)}
        56:{2,3,6}:{(30,1),(31,1),(43,1),(85,1),(209,1)}
        57:{1,2,5,6}:{(31,1),(32,1),(77,1),(83,1),(86,1),(87,1),(104,1),(194,1),(208,1)}
        58:{1,4,6}:{(32,1),(78,1),(84,1),(88,1),(103,1)}
        59:{1,2,6,7}:{(33,1),(35,1),(89,1),(90,1),(158,1),(193,1),(209,1)}
        60:{2,3,5,7}:{(33,1),(36,1),(40,1),(90,1),(91,1),(99,1),(101,1),(151,1)}
        61:{1,4,7}:{(34,1),(42,1),(92,1),(138,1),(184,1)}
        62:{1,3,6}:{(34,1),(35,1),(43,1),(92,1),(208,1)}
        63:{1,2,5,6}:{(35,1),(36,1),(80,1),(90,1),(93,1),(94,1),(105,1),(199,1),(209,1)}
        64:{2,4,6}:{(36,1),(81,1),(91,1),(95,1),(103,1)}
        65:{1,5,6,7}:{(37,1),(39,1),(96,1),(158,1)}
        66:{2,5,6,7}:{(37,1),(40,1),(97,1),(157,1)}
        67:{4,6,7}:{(37,1),(41,1)}
        68:{3,6,7}:{(38,1),(43,1),(99,1),(143,1),(151,1)}
        69:{1,2,5,7}:{(38,1),(39,1),(40,1),(44,1),(99,1),(141,1),(149,1)}
        70:{1,4,5,7}:{(39,1),(41,1),(45,1),(84,1),(96,1),(100,1)}
        71:{2,4,5,7}:{(40,1),(41,1),(46,1),(91,1),(97,1),(101,1)}
        72:{3,4,6}:{(42,1),(43,1),(85,1),(92,1),(102,1),(103,1)}
        73:{3,5,6}:{(43,1),(44,1),(99,1),(102,1),(103,1)}
        74:{3,5,6}:{(45,1),(88,1),(100,1),(104,1)}
        75:{3,5,6}:{(46,1),(95,1),(101,1),(105,1)}
        76:{2,3,6}:{(47,1),(48,1),(106,1),(118,1)}
        77:{1,2,5}:{(48,1),(49,1),(106,1),(116,1)}
        78:{1,4,5}:{(49,1),(58,1),(108,1),(134,1)}
        79:{1,3,6}:{(50,1),(51,1),(109,1),(126,1)}
        80:{1,2,5}:{(51,1),(52,1),(109,1),(124,1)}
        81:{2,4,5}:{(52,1),(64,1),(111,1),(134,1)}
        82:{2,3,6,7}:{(53,1),(56,1),(68,1),(112,1),(113,1),(179,1),(202,1)}
        83:{1,2,5,7}:{(53,1),(54,1),(57,1),(113,1),(114,1),(132,1),(203,1)}
        84:{1,4,7}:{(54,1),(58,1),(115,1),(131,1)}
        85:{2,4,6}:{(55,1),(56,1),(72,1),(116,1)}
        86:{2,3,5,6}:{(56,1),(57,1),(73,1),(106,1),(113,1),(116,1),(117,1),(118,1),(167,1),(172,1),(202,1)}
        87:{1,2,4,6}:{(57,1),(58,1),(107,1),(114,1),(117,1),(118,1),(119,1),(173,1),(174,1)}
        88:{3,4,6}:{(58,1),(74,1),(108,1),(115,1),(118,1),(119,1)}
        89:{1,3,6,7}:{(59,1),(62,1),(68,1),(120,1),(121,1),(170,1),(204,1)}
        90:{1,2,5,7}:{(59,1),(60,1),(63,1),(121,1),(122,1),(133,1),(205,1)}
        91:{2,4,7}:{(60,1),(64,1),(123,1),(131,1)}
        92:{1,4,6}:{(61,1),(62,1),(72,1),(124,1)}
        93:{1,3,5,6}:{(62,1),(63,1),(73,1),(109,1),(121,1),(124,1),(125,1),(126,1),(175,1),(180,1),(204,1)}
        94:{1,2,4,6}:{(63,1),(64,1),(110,1),(122,1),(125,1),(126,1),(127,1),(181,1),(182,1)}
        95:{3,4,6}:{(64,1),(75,1),(111,1),(123,1),(126,1),(127,1)}
        96:{1,4,6,7}:{(65,1),(67,1),(70,1),(128,1)}
        97:{2,4,6,7}:{(66,1),(67,1),(71,1),(129,1)}
        98:{3,4,6,7}:{(68,1),(72,1),(112,1),(120,1),(130,1),(131,1),(169,1),(177,1),(183,1),(202,1),(204,1)}
        99:{3,5,7}:{(68,1),(69,1),(73,1),(131,1)}
       100:{3,5,7}:{(70,1),(74,1),(115,1),(128,1),(132,1)}
       101:{3,5,7}:{(71,1),(75,1),(123,1),(129,1),(133,1)}
       102:{3,5}:{(72,1),(116,1),(124,1),(134,1)}
       103:{4,6}:{(73,1),(131,1),(134,1)}
       104:{2,5,6}:{(74,1),(119,1),(132,1)}
       105:{1,5,6}:{(75,1),(127,1),(133,1)}
       106:{2,3,5}:{(76,1),(77,1),(135,1),(136,1)}
       107:{1,2,4,5}:{(77,1),(78,1),(87,1),(135,1),(136,1),(137,1),(145,1),(184,1),(186,1),(194,1)}
       108:{3,4,5}:{(78,1),(88,1),(136,1),(137,1)}
       109:{1,3,5}:{(79,1),(80,1),(138,1),(139,1)}
       110:{1,2,4,5}:{(80,1),(81,1),(94,1),(138,1),(139,1),(140,1),(153,1),(188,1),(189,1),(199,1)}
       111:{3,4,5}:{(81,1),(95,1),(139,1),(140,1)}
       112:{2,4,6,7}:{(82,1),(85,1),(98,1),(141,1),(142,1),(190,1),(197,1),(209,1)}
       113:{2,3,5,7}:{(82,1),(83,1),(86,1),(99,1),(141,1),(142,1),(143,1),(191,1)}
       114:{1,2,4,7}:{(83,1),(84,1),(87,1),(142,1),(143,1),(144,1),(192,1),(193,1)}
       115:{3,4,7}:{(84,1),(88,1),(100,1),(143,1),(144,1)}
       116:{2,5}:{(85,1),(102,1)}
       117:{2,4,6}:{(86,1),(103,1),(135,1),(142,1),(145,1),(146,1)}
       118:{3,6}:{(87,1),(136,1),(143,1)}
       119:{2,4,6}:{(88,1),(104,1),(137,1),(144,1),(148,1)}
       120:{1,4,6,7}:{(89,1),(92,1),(98,1),(149,1),(150,1),(192,1),(195,1),(208,1)}
       121:{1,3,5,7}:{(89,1),(90,1),(93,1),(99,1),(149,1),(150,1),(151,1),(196,1)}
       122:{1,2,4,7}:{(90,1),(91,1),(94,1),(150,1),(151,1),(152,1),(197,1),(198,1)}
       123:{3,4,7}:{(91,1),(95,1),(101,1),(151,1),(152,1)}
       124:{1,5}:{(92,1),(102,1)}
       125:{1,4,6}:{(93,1),(103,1),(138,1),(150,1),(153,1),(154,1)}
       126:{3,6}:{(94,1),(139,1),(151,1)}
       127:{1,4,6}:{(95,1),(105,1),(140,1),(152,1),(155,1)}
       128:{3,6,7}:{(96,1),(100,1),(157,1)}
       129:{3,6,7}:{(97,1),(101,1),(158,1)}
       130:{3,5,7}:{(98,1),(102,1),(141,1),(149,1),(159,1),(160,1)}
       131:{4,7}:{(99,1),(103,1)}
       132:{2,5,7}:{(100,1),(104,1),(144,1),(157,1)}
       133:{1,5,7}:{(101,1),(105,1),(152,1),(158,1)}
       134:{4,5}:{(102,1),(103,1)}
       135:{2,4}:{(106,1),(161,1)}
       136:{3,5}:{(107,1),(118,1),(161,1)}
       137:{2,4,5}:{(108,1),(119,1),(163,1)}
       138:{1,4}:{(109,1),(164,1)}
       139:{3,5}:{(110,1),(126,1),(164,1)}
       140:{1,4,5}:{(111,1),(127,1),(165,1)}
       141:{2,5,7}:{(112,1),(116,1),(130,1),(167,1)}
       142:{2,4,7}:{(113,1),(117,1),(131,1),(169,1)}
       143:{3,7}:{(114,1),(118,1)}
       144:{2,4,7}:{(115,1),(119,1),(132,1),(171,1)}
       145:{2,4,5}:{(116,1),(117,1),(134,1),(172,1)}
       146:{3,4,6}:{(117,1),(118,1),(161,1),(169,1),(172,1),(173,1),(202,1)}
       147:{1,3,6}:{(118,1),(162,1),(170,1),(173,1),(174,1)}
       148:{2,3,6}:{(118,1),(119,1),(163,1),(171,1),(174,1)}
       149:{1,5,7}:{(120,1),(124,1),(130,1),(175,1)}
       150:{1,4,7}:{(121,1),(125,1),(131,1),(177,1)}
       151:{3,7}:{(122,1),(126,1)}
       152:{1,4,7}:{(123,1),(127,1),(133,1),(178,1)}
       153:{1,4,5}:{(124,1),(125,1),(134,1),(180,1)}
       154:{3,4,6}:{(125,1),(126,1),(164,1),(177,1),(180,1),(181,1),(204,1)}
       155:{1,3,6}:{(126,1),(127,1),(165,1),(178,1),(182,1)}
       156:{2,3,6}:{(126,1),(166,1),(179,1),(181,1),(182,1)}
       157:{2,6,7}:{(128,1),(132,1)}
       158:{1,6,7}:{(129,1),(133,1)}
       159:{3,5,6}:{(130,1),(167,1),(175,1),(183,1),(202,1),(204,1)}
       160:{4,5,7}:{(130,1),(131,1),(134,1),(183,1)}
       161:{3,4}:{(135,1),(136,1),(184,1)}
       162:{1,3,5}:{(136,1),(147,1),(184,1),(186,1),(194,1),(206,1)}
       163:{2,3,5}:{(136,1),(137,1),(148,1),(185,1),(186,1)}
       164:{3,4}:{(138,1),(139,1),(188,1)}
       165:{1,3,5}:{(139,1),(140,1),(155,1),(187,1),(189,1)}
       166:{2,3,5}:{(139,1),(156,1),(188,1),(189,1),(199,1),(207,1)}
       167:{2,5,6}:{(141,1),(159,1),(190,1),(209,1)}
       168:{2,4,5,7}:{(141,1),(142,1),(145,1),(160,1),(190,1),(191,1)}
       169:{3,4,7}:{(142,1),(143,1),(146,1),(191,1),(192,1)}
       170:{1,3,7}:{(143,1),(147,1),(192,1),(193,1)}
       171:{2,3,7}:{(143,1),(144,1),(148,1),(193,1)}
       172:{3,5}:{(145,1),(146,1),(194,1)}
       173:{1,4,6}:{(146,1),(147,1),(184,1),(192,1),(194,1),(208,1)}
       174:{1,2,6}:{(147,1),(148,1),(186,1),(193,1)}
       175:{1,5,6}:{(149,1),(159,1),(195,1),(208,1)}
       176:{1,4,5,7}:{(149,1),(150,1),(153,1),(160,1),(195,1),(196,1)}
       177:{3,4,7}:{(150,1),(151,1),(154,1),(196,1),(197,1)}
       178:{1,3,7}:{(151,1),(152,1),(155,1),(198,1)}
       179:{2,3,7}:{(151,1),(156,1),(197,1),(198,1)}
       180:{3,5}:{(153,1),(154,1),(199,1)}
       181:{2,4,6}:{(154,1),(156,1),(188,1),(197,1),(199,1),(209,1)}
       182:{1,2,6}:{(155,1),(156,1),(189,1),(198,1)}
       183:{4,6}:{(159,1),(160,1)}
       184:{1,4}:{(161,1),(162,1)}
       185:{2,3,4}:{(161,1),(163,1),(200,1)}
       186:{1,2,5}:{(162,1),(163,1),(174,1),(200,1)}
       187:{1,3,4}:{(164,1),(165,1),(201,1)}
       188:{2,4}:{(164,1),(166,1)}
       189:{1,2,5}:{(165,1),(166,1),(182,1),(201,1)}
       190:{2,4,6}:{(167,1),(168,1),(183,1),(202,1)}
       191:{3,5,7}:{(168,1),(169,1),(172,1),(202,1),(203,1)}
       192:{1,4,7}:{(169,1),(170,1),(173,1),(203,1)}
       193:{1,2,7}:{(170,1),(171,1),(174,1)}
       194:{1,5}:{(172,1),(173,1)}
       195:{1,4,6}:{(175,1),(176,1),(183,1),(204,1)}
       196:{3,5,7}:{(176,1),(177,1),(180,1),(204,1),(205,1)}
       197:{2,4,7}:{(177,1),(179,1),(181,1),(205,1)}
       198:{1,2,7}:{(178,1),(179,1),(182,1)}
       199:{2,5}:{(180,1),(181,1)}
       200:{1,2,4}:{(184,1),(185,1),(186,1),(206,1)}
       201:{1,2,4}:{(187,1),(188,1),(189,1),(207,1)}
       202:{3,6}:{(190,1),(191,1),(208,1)}
       203:{1,5,7}:{(191,1),(192,1),(194,1),(208,1)}
       204:{3,6}:{(195,1),(196,1),(209,1)}
       205:{2,5,7}:{(196,1),(197,1),(199,1),(209,1)}
       206:{1,3}:{(200,1)}
       207:{2,3}:{(201,1)}
       208:{1,6}:{(202,1),(203,1)}
       209:{2,6}:{(204,1),(205,1)}

 359 :  0:{3,4,5}:{(2,1),(3,1),(4,1),(27,1),(72,1)}
        1:{4,5,6}:{(8,1),(9,1),(63,1),(83,1)}
        2:{3,4,6}:{(0,1),(9,1),(10,1),(11,1),(12,1),(41,1),(63,1)}
        3:{1,4,5}:{(0,1),(5,1),(11,1)}
        4:{2,4,5}:{(0,1),(6,1),(12,1)}
        5:{1,3,5}:{(3,1),(14,1),(16,1),(17,1),(27,1)}
        6:{2,3,5}:{(4,1),(15,1),(18,1),(19,1),(27,1)}
        7:{5,6,7}:{(20,1),(81,1)}
        8:{4,5,7}:{(1,1),(20,1),(21,1),(71,1),(81,1)}
        9:{3,5,6}:{(1,1),(2,1),(21,1),(22,1),(23,1)}
       10:{3,4,7}:{(2,1),(21,1),(24,1),(25,1),(55,1),(71,1)}
       11:{1,4,6}:{(2,1),(3,1),(16,1),(22,1),(24,1)}
       12:{2,4,6}:{(2,1),(4,1),(18,1),(23,1),(25,1)}
       13:{1,2,4,5}:{(3,1),(4,1),(17,1),(19,1),(26,1),(27,1),(47,1),(50,1),(67,1),(69,1),(72,1)}
       14:{1,3,4}:{(5,1),(28,1),(42,1)}
       15:{2,3,4}:{(6,1),(29,1),(42,1)}
       16:{1,3,6}:{(5,1),(11,1),(30,1),(31,1),(41,1)}
       17:{1,2,5}:{(5,1),(28,1),(31,1),(32,1)}
       18:{2,3,6}:{(6,1),(12,1),(33,1),(34,1),(41,1)}
       19:{1,2,5}:{(6,1),(29,1),(34,1),(35,1)}
       20:{4,6,7}:{(7,1),(8,1),(36,1)}
       21:{3,5,7}:{(8,1),(9,1),(10,1),(36,1),(37,1),(38,1)}
       22:{1,5,6}:{(9,1),(11,1),(37,1)}
       23:{2,5,6}:{(9,1),(12,1),(38,1)}
       24:{1,4,7}:{(10,1),(11,1),(30,1),(37,1)}
       25:{2,4,7}:{(10,1),(12,1),(33,1),(38,1)}
       26:{1,2,4,6}:{(11,1),(12,1),(13,1),(31,1),(34,1),(39,1),(40,1),(41,1),(58,1),(60,1),(63,1)}
       27:{3,5}:{(13,1),(41,1),(42,1)}
       28:{1,2,4}:{(14,1),(17,1),(43,1),(47,1)}
       29:{1,2,4}:{(15,1),(19,1),(44,1),(50,1)}
       30:{1,3,7}:{(16,1),(24,1),(45,1),(55,1)}
       31:{1,2,6}:{(16,1),(17,1),(45,1),(46,1)}
       32:{2,3,5}:{(17,1),(27,1),(43,1),(46,1),(47,1),(67,1)}
       33:{2,3,7}:{(18,1),(25,1),(48,1),(55,1)}
       34:{1,2,6}:{(18,1),(19,1),(48,1),(49,1)}
       35:{1,3,5}:{(19,1),(27,1),(44,1),(49,1),(50,1),(69,1)}
       36:{3,6,7}:{(20,1),(21,1),(51,1),(52,1)}
       37:{1,5,7}:{(21,1),(22,1),(24,1),(51,1)}
       38:{2,5,7}:{(21,1),(23,1),(25,1),(52,1)}
       39:{1,2,5,6}:{(22,1),(23,1),(26,1),(53,1),(54,1),(67,1),(69,1),(79,1),(80,1)}
       40:{1,2,4,7}:{(24,1),(25,1),(26,1),(45,1),(48,1),(53,1),(55,1),(66,1),(68,1),(71,1)}
       41:{3,6}:{(26,1),(27,1),(55,1)}
       42:{3,4}:{(27,1),(47,1),(50,1)}
       43:{2,3}:{(28,1)}
       44:{1,3}:{(29,1)}
       45:{1,2,7}:{(30,1),(31,1),(57,1)}
       46:{2,3,6}:{(31,1),(32,1),(41,1),(57,1),(58,1)}
       47:{2,4}:{(32,1),(42,1)}
       48:{1,2,7}:{(33,1),(34,1),(59,1)}
       49:{1,3,6}:{(34,1),(35,1),(41,1),(59,1),(60,1)}
       50:{1,4}:{(35,1),(42,1)}
       51:{1,6,7}:{(36,1),(37,1)}
       52:{2,6,7}:{(36,1),(38,1)}
       53:{1,2,5,7}:{(37,1),(38,1),(39,1),(40,1),(61,1),(62,1),(74,1),(75,1)}
       54:{3,5,6}:{(39,1),(41,1),(62,1),(63,1),(65,1),(78,1),(83,1)}
       55:{3,7}:{(40,1),(41,1)}
       56:{3,4,6}:{(41,1),(42,1),(58,1),(60,1),(63,1),(64,1),(65,1),(78,1)}
       57:{2,3,7}:{(45,1),(46,1),(55,1),(66,1)}
       58:{2,4,6}:{(46,1),(47,1),(56,1),(66,1),(67,1),(79,1)}
       59:{1,3,7}:{(48,1),(49,1),(55,1),(68,1)}
       60:{1,4,6}:{(49,1),(50,1),(56,1),(68,1),(69,1),(80,1)}
       61:{1,2,6,7}:{(51,1),(52,1),(53,1),(70,1),(79,1),(80,1)}
       62:{3,5,7}:{(53,1),(54,1),(55,1),(70,1),(71,1),(81,1)}
       63:{4,6}:{(54,1),(71,1),(72,1)}
       64:{3,4,7}:{(55,1),(56,1),(66,1),(68,1),(71,1),(73,1)}
       65:{3,5}:{(56,1),(67,1),(69,1),(72,1)}
       66:{2,4,7}:{(57,1),(58,1),(64,1),(74,1)}
       67:{2,5}:{(58,1),(65,1)}
       68:{1,4,7}:{(59,1),(60,1),(64,1),(75,1)}
       69:{1,5}:{(60,1),(65,1)}
       70:{3,6,7}:{(61,1),(62,1),(76,1),(78,1)}
       71:{4,7}:{(62,1),(63,1)}
       72:{4,5}:{(63,1),(65,1)}
       73:{3,5,7}:{(64,1),(65,1),(74,1),(75,1),(77,1),(78,1)}
       74:{2,5,7}:{(66,1),(67,1),(73,1),(79,1)}
       75:{1,5,7}:{(68,1),(69,1),(73,1),(80,1)}
       76:{4,6,7}:{(70,1),(71,1),(81,1),(82,1)}
       77:{4,5,7}:{(71,1),(72,1),(73,1),(81,1),(82,1)}
       78:{3,6}:{(73,1),(79,1),(80,1),(82,1)}
       79:{2,6}:{(74,1),(78,1)}
       80:{1,6}:{(75,1),(78,1)}
       81:{5,7}:{(76,1),(83,1)}
       82:{4,6}:{(77,1),(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 360 :  0:{4,5,6}:{(2,1),(3,1),(46,1),(81,1)}
        1:{5,6,7}:{(6,1),(76,1)}
        2:{4,5,7}:{(0,1),(6,1),(7,1),(59,1),(76,1)}
        3:{3,5,6}:{(0,1),(5,1),(7,1),(8,1),(9,1)}
        4:{3,4,5}:{(5,1),(10,1),(11,1),(35,1),(60,1)}
        5:{3,4,6}:{(3,1),(4,1),(12,1),(13,1),(14,1),(43,1),(46,1)}
        6:{4,6,7}:{(1,1),(2,1),(15,1)}
        7:{3,5,7}:{(2,1),(3,1),(12,1),(15,1),(16,1),(17,1)}
        8:{1,5,6}:{(3,1),(13,1),(16,1)}
        9:{2,5,6}:{(3,1),(14,1),(17,1)}
       10:{1,4,5}:{(4,1),(13,1),(19,1)}
       11:{2,4,5}:{(4,1),(14,1),(20,1)}
       12:{3,4,7}:{(5,1),(7,1),(26,1),(27,1),(56,1),(59,1)}
       13:{1,4,6}:{(5,1),(8,1),(10,1),(24,1),(26,1)}
       14:{2,4,6}:{(5,1),(9,1),(11,1),(25,1),(27,1)}
       15:{3,6,7}:{(6,1),(7,1),(29,1),(30,1)}
       16:{1,5,7}:{(7,1),(8,1),(26,1),(29,1)}
       17:{2,5,7}:{(7,1),(9,1),(27,1),(30,1)}
       18:{1,2,5,6}:{(8,1),(9,1),(28,1),(31,1),(32,1),(72,1),(74,1),(82,1),(83,1)}
       19:{1,3,5}:{(10,1),(22,1),(24,1),(33,1),(35,1)}
       20:{2,3,5}:{(11,1),(23,1),(25,1),(34,1),(35,1)}
       21:{1,2,4,5}:{(10,1),(11,1),(28,1),(33,1),(34,1),(35,1),(60,1),(61,1),(62,1),(72,1),(74,1)}
       22:{1,3,4}:{(19,1),(36,1),(49,1)}
       23:{2,3,4}:{(20,1),(37,1),(49,1)}
       24:{1,3,6}:{(13,1),(19,1),(38,1),(39,1),(43,1)}
       25:{2,3,6}:{(14,1),(20,1),(40,1),(41,1),(43,1)}
       26:{1,4,7}:{(12,1),(13,1),(16,1),(38,1)}
       27:{2,4,7}:{(12,1),(14,1),(17,1),(40,1)}
       28:{1,2,4,6}:{(13,1),(14,1),(18,1),(21,1),(39,1),(41,1),(42,1),(43,1),(46,1),(64,1),(66,1)}
       29:{1,6,7}:{(15,1),(16,1)}
       30:{2,6,7}:{(15,1),(17,1)}
       31:{1,2,5,7}:{(16,1),(17,1),(18,1),(42,1),(44,1),(45,1),(78,1),(79,1)}
       32:{3,5,6}:{(18,1),(43,1),(45,1),(46,1),(68,1),(80,1),(81,1)}
       33:{1,2,5}:{(19,1),(36,1),(39,1),(47,1)}
       34:{1,2,5}:{(20,1),(37,1),(41,1),(48,1)}
       35:{3,5}:{(21,1),(43,1),(49,1)}
       36:{1,2,4}:{(22,1),(33,1),(50,1),(61,1)}
       37:{1,2,4}:{(23,1),(34,1),(51,1),(62,1)}
       38:{1,3,7}:{(24,1),(26,1),(52,1),(56,1)}
       39:{1,2,6}:{(24,1),(33,1),(52,1),(53,1)}
       40:{2,3,7}:{(25,1),(27,1),(54,1),(56,1)}
       41:{1,2,6}:{(25,1),(34,1),(54,1),(55,1)}
       42:{1,2,4,7}:{(26,1),(27,1),(28,1),(31,1),(52,1),(54,1),(56,1),(59,1),(71,1),(73,1)}
       43:{3,6}:{(28,1),(35,1),(56,1)}
       44:{1,2,6,7}:{(29,1),(30,1),(31,1),(58,1),(82,1),(83,1)}
       45:{3,5,7}:{(31,1),(32,1),(56,1),(58,1),(59,1),(76,1)}
       46:{4,6}:{(32,1),(59,1),(60,1)}
       47:{2,3,5}:{(33,1),(35,1),(50,1),(53,1),(61,1),(72,1)}
       48:{1,3,5}:{(34,1),(35,1),(51,1),(55,1),(62,1),(74,1)}
       49:{3,4}:{(35,1),(61,1),(62,1)}
       50:{2,3}:{(36,1)}
       51:{1,3}:{(37,1)}
       52:{1,2,7}:{(38,1),(39,1),(63,1)}
       53:{2,3,6}:{(39,1),(43,1),(47,1),(63,1),(64,1)}
       54:{1,2,7}:{(40,1),(41,1),(65,1)}
       55:{1,3,6}:{(41,1),(43,1),(48,1),(65,1),(66,1)}
       56:{3,7}:{(42,1),(43,1)}
       57:{3,4,6}:{(43,1),(46,1),(49,1),(64,1),(66,1),(67,1),(68,1),(80,1)}
       58:{3,6,7}:{(44,1),(45,1),(69,1),(80,1)}
       59:{4,7}:{(45,1),(46,1)}
       60:{4,5}:{(46,1),(68,1)}
       61:{2,4}:{(47,1),(49,1)}
       62:{1,4}:{(48,1),(49,1)}
       63:{2,3,7}:{(52,1),(53,1),(56,1),(71,1)}
       64:{2,4,6}:{(53,1),(57,1),(61,1),(71,1),(72,1),(82,1)}
       65:{1,3,7}:{(54,1),(55,1),(56,1),(73,1)}
       66:{1,4,6}:{(55,1),(57,1),(62,1),(73,1),(74,1),(83,1)}
       67:{3,4,7}:{(56,1),(57,1),(59,1),(71,1),(73,1),(75,1)}
       68:{3,5}:{(57,1),(60,1),(72,1),(74,1)}
       69:{4,6,7}:{(58,1),(59,1),(76,1),(77,1)}
       70:{4,5,7}:{(59,1),(60,1),(75,1),(76,1),(77,1)}
       71:{2,4,7}:{(63,1),(64,1),(67,1),(78,1)}
       72:{2,5}:{(64,1),(68,1)}
       73:{1,4,7}:{(65,1),(66,1),(67,1),(79,1)}
       74:{1,5}:{(66,1),(68,1)}
       75:{3,5,7}:{(67,1),(68,1),(70,1),(78,1),(79,1),(80,1)}
       76:{5,7}:{(69,1),(81,1)}
       77:{4,6}:{(70,1),(80,1),(81,1)}
       78:{2,5,7}:{(71,1),(72,1),(75,1),(82,1)}
       79:{1,5,7}:{(73,1),(74,1),(75,1),(83,1)}
       80:{3,6}:{(75,1),(77,1),(82,1),(83,1)}
       81:{5,6}:{(76,1),(77,1)}
       82:{2,6}:{(78,1),(80,1)}
       83:{1,6}:{(79,1),(80,1)}

 361 :  0:{5,6,7}:{(1,1),(58,1)}
        1:{4,6,7}:{(0,1),(3,1),(4,1)}
        2:{4,5,6}:{(3,1),(5,1),(48,1),(69,1)}
        3:{4,5,7}:{(1,1),(2,1),(7,1),(57,1),(58,1)}
        4:{3,6,7}:{(1,1),(7,1),(8,1),(9,1)}
        5:{3,5,6}:{(2,1),(7,1),(10,1),(11,1),(12,1)}
        6:{3,4,5}:{(10,1),(13,1),(14,1),(37,1),(62,1)}
        7:{3,5,7}:{(3,1),(4,1),(5,1),(15,1),(16,1),(17,1)}
        8:{1,6,7}:{(4,1),(16,1)}
        9:{2,6,7}:{(4,1),(17,1)}
       10:{3,4,6}:{(5,1),(6,1),(15,1),(19,1),(20,1),(47,1),(48,1)}
       11:{1,5,6}:{(5,1),(16,1),(19,1)}
       12:{2,5,6}:{(5,1),(17,1),(20,1)}
       13:{1,4,5}:{(6,1),(19,1),(22,1)}
       14:{2,4,5}:{(6,1),(20,1),(23,1)}
       15:{3,4,7}:{(7,1),(10,1),(27,1),(28,1),(56,1),(57,1)}
       16:{1,5,7}:{(7,1),(8,1),(11,1),(27,1)}
       17:{2,5,7}:{(7,1),(9,1),(12,1),(28,1)}
       18:{1,2,6,7}:{(8,1),(9,1),(29,1),(30,1),(82,1),(83,1)}
       19:{1,4,6}:{(10,1),(11,1),(13,1),(27,1),(31,1)}
       20:{2,4,6}:{(10,1),(12,1),(14,1),(28,1),(32,1)}
       21:{1,2,5,6}:{(11,1),(12,1),(29,1),(33,1),(34,1),(77,1),(78,1),(82,1),(83,1)}
       22:{1,3,5}:{(13,1),(25,1),(31,1),(35,1),(37,1)}
       23:{2,3,5}:{(14,1),(26,1),(32,1),(36,1),(37,1)}
       24:{1,2,4,5}:{(13,1),(14,1),(33,1),(35,1),(36,1),(37,1),(62,1),(63,1),(64,1),(77,1),(78,1)}
       25:{1,3,4}:{(22,1),(38,1),(51,1)}
       26:{2,3,4}:{(23,1),(39,1),(51,1)}
       27:{1,4,7}:{(15,1),(16,1),(19,1),(40,1)}
       28:{2,4,7}:{(15,1),(17,1),(20,1),(41,1)}
       29:{1,2,5,7}:{(16,1),(17,1),(18,1),(21,1),(42,1),(43,1),(79,1),(80,1)}
       30:{3,6,7}:{(18,1),(43,1),(44,1),(81,1)}
       31:{1,3,6}:{(19,1),(22,1),(40,1),(45,1),(47,1)}
       32:{2,3,6}:{(20,1),(23,1),(41,1),(46,1),(47,1)}
       33:{1,2,4,6}:{(19,1),(20,1),(21,1),(24,1),(42,1),(45,1),(46,1),(47,1),(48,1),(70,1),(71,1)}
       34:{3,5,6}:{(21,1),(43,1),(47,1),(48,1),(69,1),(72,1),(81,1)}
       35:{1,2,5}:{(22,1),(38,1),(45,1),(49,1)}
       36:{1,2,5}:{(23,1),(39,1),(46,1),(50,1)}
       37:{3,5}:{(24,1),(47,1),(51,1)}
       38:{1,2,4}:{(25,1),(35,1),(52,1),(63,1)}
       39:{1,2,4}:{(26,1),(36,1),(53,1),(64,1)}
       40:{1,3,7}:{(27,1),(31,1),(54,1),(56,1)}
       41:{2,3,7}:{(28,1),(32,1),(55,1),(56,1)}
       42:{1,2,4,7}:{(27,1),(28,1),(29,1),(33,1),(54,1),(55,1),(56,1),(57,1),(73,1),(74,1)}
       43:{3,5,7}:{(29,1),(30,1),(34,1),(56,1),(57,1),(58,1)}
       44:{4,6,7}:{(30,1),(57,1),(58,1),(76,1)}
       45:{1,2,6}:{(31,1),(35,1),(54,1),(59,1)}
       46:{1,2,6}:{(32,1),(36,1),(55,1),(60,1)}
       47:{3,6}:{(33,1),(37,1),(56,1)}
       48:{4,6}:{(34,1),(57,1),(62,1)}
       49:{2,3,5}:{(35,1),(37,1),(52,1),(59,1),(63,1),(77,1)}
       50:{1,3,5}:{(36,1),(37,1),(53,1),(60,1),(64,1),(78,1)}
       51:{3,4}:{(37,1),(63,1),(64,1)}
       52:{2,3}:{(38,1)}
       53:{1,3}:{(39,1)}
       54:{1,2,7}:{(40,1),(45,1),(65,1)}
       55:{1,2,7}:{(41,1),(46,1),(66,1)}
       56:{3,7}:{(42,1),(47,1)}
       57:{4,7}:{(43,1),(48,1)}
       58:{5,7}:{(44,1),(69,1)}
       59:{2,3,6}:{(45,1),(47,1),(49,1),(65,1),(70,1)}
       60:{1,3,6}:{(46,1),(47,1),(50,1),(66,1),(71,1)}
       61:{3,4,6}:{(47,1),(48,1),(51,1),(67,1),(70,1),(71,1),(72,1),(81,1)}
       62:{4,5}:{(48,1),(72,1)}
       63:{2,4}:{(49,1),(51,1)}
       64:{1,4}:{(50,1),(51,1)}
       65:{2,3,7}:{(54,1),(56,1),(59,1),(73,1)}
       66:{1,3,7}:{(55,1),(56,1),(60,1),(74,1)}
       67:{3,4,7}:{(56,1),(57,1),(61,1),(73,1),(74,1),(75,1)}
       68:{4,5,7}:{(57,1),(58,1),(62,1),(75,1),(76,1)}
       69:{5,6}:{(58,1),(76,1)}
       70:{2,4,6}:{(59,1),(61,1),(63,1),(73,1),(77,1),(82,1)}
       71:{1,4,6}:{(60,1),(61,1),(64,1),(74,1),(78,1),(83,1)}
       72:{3,5}:{(61,1),(62,1),(77,1),(78,1)}
       73:{2,4,7}:{(65,1),(67,1),(70,1),(79,1)}
       74:{1,4,7}:{(66,1),(67,1),(71,1),(80,1)}
       75:{3,5,7}:{(67,1),(68,1),(72,1),(79,1),(80,1),(81,1)}
       76:{4,6}:{(68,1),(69,1),(81,1)}
       77:{2,5}:{(70,1),(72,1)}
       78:{1,5}:{(71,1),(72,1)}
       79:{2,5,7}:{(73,1),(75,1),(77,1),(82,1)}
       80:{1,5,7}:{(74,1),(75,1),(78,1),(83,1)}
       81:{3,6}:{(75,1),(76,1),(82,1),(83,1)}
       82:{2,6}:{(79,1),(81,1)}
       83:{1,6}:{(80,1),(81,1)}

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

 363 :  0:{1,2,6,7}:{(2,1),(4,1),(50,1),(51,1)}
        1:{1,2,5,6}:{(3,1),(4,1),(5,1),(34,1),(35,1),(50,1),(51,1)}
        2:{3,6,7}:{(0,1),(6,1),(7,1),(43,1)}
        3:{3,5,6}:{(1,1),(7,1),(8,1),(11,1),(20,1),(22,1),(43,1)}
        4:{1,2,5,7}:{(0,1),(1,1),(7,1),(10,1),(44,1),(45,1)}
        5:{1,2,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(24,1),(25,1),(31,1)}
        6:{4,6,7}:{(2,1),(12,1),(14,1),(32,1)}
        7:{3,5,7}:{(2,1),(3,1),(4,1),(12,1),(14,1),(17,1)}
        8:{4,6}:{(3,1),(13,1),(14,1)}
        9:{1,2,4,5}:{(5,1),(13,1),(16,1),(34,1),(35,1),(39,1),(40,1),(41,1)}
       10:{1,2,4,7}:{(4,1),(5,1),(14,1),(17,1),(36,1),(37,1),(42,1)}
       11:{3,6}:{(5,1),(16,1),(17,1)}
       12:{5,7}:{(6,1),(20,1)}
       13:{4,5}:{(8,1),(22,1),(58,1)}
       14:{4,7}:{(7,1),(8,1)}
       15:{3,4,6}:{(8,1),(11,1),(22,1),(23,1),(24,1),(25,1),(26,1),(43,1),(48,1),(58,1),(61,1)}
       16:{3,5}:{(9,1),(11,1),(26,1)}
       17:{3,7}:{(10,1),(11,1)}
       18:{1,3,6}:{(11,1),(24,1),(27,1),(29,1),(31,1),(48,1)}
       19:{2,3,6}:{(11,1),(25,1),(28,1),(30,1),(31,1),(48,1)}
       20:{5,6}:{(12,1),(32,1),(62,1)}
       21:{4,5,7}:{(12,1),(13,1),(14,1),(32,1),(33,1),(60,1),(62,1)}
       22:{3,5}:{(13,1),(15,1),(34,1),(35,1),(62,1)}
       23:{3,4,7}:{(14,1),(15,1),(17,1),(33,1),(36,1),(37,1),(54,1),(60,1)}
       24:{1,4,6}:{(15,1),(18,1),(34,1),(36,1),(39,1),(50,1)}
       25:{2,4,6}:{(15,1),(19,1),(35,1),(37,1),(40,1),(51,1)}
       26:{3,4}:{(16,1),(39,1),(40,1),(55,1)}
       27:{1,3,5}:{(16,1),(18,1),(34,1),(39,1),(41,1),(53,1),(55,1)}
       28:{2,3,5}:{(16,1),(19,1),(35,1),(40,1),(41,1),(53,1),(55,1)}
       29:{1,3,7}:{(17,1),(18,1),(36,1),(42,1),(54,1)}
       30:{2,3,7}:{(17,1),(19,1),(37,1),(42,1),(54,1)}
       31:{1,2,6}:{(18,1),(19,1),(41,1),(42,1)}
       32:{4,6}:{(20,1),(21,1),(43,1)}
       33:{3,5,7}:{(21,1),(22,1),(23,1),(43,1),(44,1),(45,1)}
       34:{1,5}:{(22,1),(24,1)}
       35:{2,5}:{(22,1),(25,1)}
       36:{1,4,7}:{(23,1),(24,1),(29,1),(44,1)}
       37:{2,4,7}:{(23,1),(25,1),(30,1),(45,1)}
       38:{1,2,4,6}:{(24,1),(25,1),(31,1),(46,1),(47,1),(48,1),(49,1),(56,1),(58,1),(61,1)}
       39:{1,4}:{(26,1),(27,1),(58,1)}
       40:{2,4}:{(26,1),(28,1),(58,1)}
       41:{1,2,5}:{(27,1),(28,1),(31,1),(49,1)}
       42:{1,2,7}:{(29,1),(30,1),(31,1)}
       43:{3,6}:{(32,1),(33,1),(50,1),(51,1)}
       44:{1,5,7}:{(33,1),(34,1),(36,1),(50,1)}
       45:{2,5,7}:{(33,1),(35,1),(37,1),(51,1)}
       46:{1,2,5}:{(34,1),(35,1),(38,1),(53,1),(62,1)}
       47:{1,2,4,7}:{(36,1),(37,1),(38,1),(42,1),(52,1),(54,1),(60,1)}
       48:{3,6}:{(38,1),(53,1),(54,1),(55,1)}
       49:{1,2,4}:{(39,1),(40,1),(41,1),(55,1)}
       50:{1,6}:{(43,1),(44,1)}
       51:{2,6}:{(43,1),(45,1)}
       52:{1,2,5,7}:{(44,1),(45,1),(46,1),(47,1),(56,1),(57,1)}
       53:{3,5}:{(46,1),(48,1),(58,1)}
       54:{3,7}:{(47,1),(48,1)}
       55:{3}:{(49,1)}
       56:{1,2,6}:{(50,1),(51,1),(52,1),(59,1)}
       57:{3,5,7}:{(52,1),(53,1),(54,1),(59,1),(60,1),(62,1)}
       58:{4}:{(53,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

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

 365 :   0:{2,4,6,7}:{(1,1),(2,1),(9,1),(10,1)}
         1:{3,6,7}:{(0,1),(3,1),(4,1),(16,1)}
         2:{2,5,7}:{(0,1),(4,1),(5,1),(31,1)}
         3:{1,6,7}:{(1,1),(7,1),(25,1)}
         4:{3,5,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(20,1)}
         5:{2,5,6}:{(2,1),(8,1),(10,1),(40,1),(43,1)}
         6:{2,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(21,1),(24,1),(43,1)}
         7:{1,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{3,5,6}:{(4,1),(5,1),(12,1),(14,1),(16,1),(29,1),(32,1)}
         9:{4,7}:{(4,1),(14,1)}
        10:{2,4,6}:{(5,1),(6,1),(14,1),(16,1)}
        11:{3,5,7}:{(6,1),(15,1),(16,1),(17,1),(32,1)}
        12:{1,5,6}:{(7,1),(8,1),(19,1),(25,1),(42,1)}
        13:{1,4,7}:{(7,1),(9,1),(19,1),(20,1)}
        14:{4,6}:{(8,1),(9,1),(21,1)}
        15:{3,4,7}:{(9,1),(11,1),(20,1),(22,1),(23,1),(24,1),(45,1)}
        16:{3,6}:{(10,1),(11,1),(25,1)}
        17:{1,5,7}:{(11,1),(23,1),(25,1),(42,1)}
        18:{2,3,5,7}:{(11,1),(24,1),(26,1),(27,1),(43,1),(45,1),(63,1)}
        19:{1,4,6}:{(12,1),(13,1),(14,1),(28,1),(29,1)}
        20:{3,7}:{(13,1),(29,1),(31,1)}
        21:{4,5}:{(14,1),(32,1),(73,1)}
        22:{3,4,6}:{(14,1),(15,1),(16,1),(29,1),(32,1),(33,1),(34,1),(48,1),(54,1),(73,1)}
        23:{1,4,7}:{(15,1),(17,1),(30,1),(33,1)}
        24:{2,4,7}:{(15,1),(18,1),(31,1),(34,1),(73,1)}
        25:{1,6}:{(16,1),(17,1)}
        26:{2,3,6}:{(16,1),(18,1),(34,1),(36,1),(54,1),(68,1)}
        27:{1,2,5,7}:{(17,1),(18,1),(35,1),(36,1),(37,1),(53,1),(72,1)}
        28:{1,4,5}:{(19,1),(21,1),(38,1),(42,1),(58,1)}
        29:{3,6}:{(19,1),(20,1),(38,1),(40,1)}
        30:{1,3,7}:{(20,1),(23,1),(39,1),(41,1),(45,1)}
        31:{2,7}:{(20,1),(40,1)}
        32:{3,5}:{(21,1),(22,1),(42,1),(43,1)}
        33:{1,4,6}:{(22,1),(23,1),(25,1),(39,1),(42,1),(58,1)}
        34:{2,4,6}:{(22,1),(24,1),(26,1),(40,1),(43,1),(59,1)}
        35:{1,2,4,7}:{(23,1),(24,1),(27,1),(41,1),(44,1),(45,1),(47,1),(62,1)}
        36:{1,2,6}:{(25,1),(26,1),(27,1),(46,1),(78,1),(82,1)}
        37:{1,3,5,7}:{(27,1),(45,1),(46,1),(47,1),(63,1),(65,1),(66,1)}
        38:{3,5}:{(28,1),(29,1),(48,1),(50,1)}
        39:{1,3,6}:{(29,1),(30,1),(33,1),(49,1),(51,1),(54,1)}
        40:{2,6}:{(29,1),(31,1),(50,1)}
        41:{1,2,7}:{(30,1),(31,1),(51,1),(52,1),(104,1)}
        42:{1,5}:{(32,1),(33,1)}
        43:{2,5}:{(32,1),(34,1)}
        44:{1,2,4,6}:{(33,1),(34,1),(35,1),(36,1),(51,1),(53,1),(54,1),(56,1),(69,1),(71,1),(73,1)}
        45:{3,7}:{(35,1),(54,1)}
        46:{1,3,6}:{(36,1),(37,1),(54,1),(56,1),(75,1),(87,1)}
        47:{1,4,7}:{(37,1),(55,1),(56,1),(73,1),(104,1)}
        48:{3,4}:{(38,1),(58,1),(59,1),(79,1)}
        49:{1,3,5}:{(38,1),(39,1),(42,1),(58,1),(60,1),(63,1),(79,1)}
        50:{2,5}:{(38,1),(40,1),(59,1)}
        51:{1,2,6}:{(39,1),(40,1),(41,1),(60,1),(61,1),(102,1)}
        52:{2,3,7}:{(41,1),(45,1),(61,1),(62,1),(103,1)}
        53:{1,2,5}:{(42,1),(43,1),(44,1),(63,1),(66,1),(81,1)}
        54:{3,6}:{(44,1),(45,1),(63,1),(79,1)}
        55:{3,4,7}:{(45,1),(47,1),(62,1),(64,1),(65,1),(98,1),(103,1)}
        56:{1,4,6}:{(46,1),(47,1),(64,1),(66,1),(94,1),(102,1)}
        57:{1,4,5,7}:{(47,1),(65,1),(66,1),(67,1),(83,1),(86,1),(98,1)}
        58:{1,4}:{(48,1),(49,1),(73,1)}
        59:{2,4}:{(48,1),(50,1),(68,1)}
        60:{1,2,5}:{(49,1),(50,1),(51,1),(69,1),(70,1),(99,1)}
        61:{2,3,6}:{(51,1),(52,1),(54,1),(70,1),(71,1),(100,1)}
        62:{2,4,7}:{(52,1),(55,1),(71,1),(72,1)}
        63:{3,5}:{(53,1),(54,1),(73,1)}
        64:{3,4,6}:{(54,1),(55,1),(56,1),(71,1),(73,1),(74,1),(75,1),(88,1),(92,1),(100,1)}
        65:{3,5,7}:{(55,1),(57,1),(72,1),(74,1),(75,1)}
        66:{1,5}:{(56,1),(74,1)}
        67:{1,4,6}:{(57,1),(75,1),(76,1),(92,1)}
        68:{2,3}:{(59,1),(78,1),(79,1)}
        69:{1,2,4}:{(58,1),(59,1),(60,1),(78,1),(79,1),(80,1),(94,1)}
        70:{2,3,5}:{(60,1),(61,1),(63,1),(79,1),(80,1),(81,1),(95,1)}
        71:{2,4,6}:{(61,1),(62,1),(64,1),(80,1),(81,1),(82,1)}
        72:{2,5,7}:{(62,1),(65,1),(81,1),(82,1)}
        73:{4}:{(63,1)}
        74:{3,5}:{(64,1),(66,1),(81,1),(83,1)}
        75:{3,6}:{(65,1),(67,1),(82,1)}
        76:{1,5,6}:{(66,1),(67,1),(84,1),(86,1),(102,1)}
        77:{1,4,6,7}:{(67,1),(85,1),(86,1),(98,1)}
        78:{1,2}:{(68,1),(87,1)}
        79:{3}:{(69,1)}
        80:{2,4}:{(70,1),(73,1),(88,1)}
        81:{2,5}:{(71,1),(74,1)}
        82:{2,6}:{(72,1),(75,1)}
        83:{4,5}:{(73,1),(74,1),(92,1)}
        84:{3,5,6}:{(74,1),(75,1),(76,1),(90,1),(92,1),(93,1),(100,1)}
        85:{3,6,7}:{(75,1),(77,1),(91,1),(93,1)}
        86:{1,5,7}:{(76,1),(77,1),(93,1),(104,1)}
        87:{1,3}:{(78,1),(79,1),(94,1)}
        88:{3,4}:{(79,1),(80,1),(94,1),(95,1)}
        89:{2,4,5}:{(80,1),(81,1),(83,1),(95,1),(96,1)}
        90:{2,5,6}:{(81,1),(82,1),(84,1),(96,1),(97,1)}
        91:{2,6,7}:{(82,1),(85,1),(97,1)}
        92:{4,6}:{(83,1),(84,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(86,1),(97,1),(98,1),(103,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{3,5}:{(88,1),(89,1),(99,1),(100,1)}
        96:{2,4,6}:{(89,1),(90,1),(92,1),(100,1),(101,1)}
        97:{2,5,7}:{(90,1),(91,1),(93,1),(101,1)}
        98:{4,7}:{(92,1),(93,1)}
        99:{1,5}:{(94,1),(95,1),(102,1)}
       100:{3,6}:{(95,1),(96,1),(102,1),(103,1)}
       101:{2,4,7}:{(96,1),(97,1),(98,1),(103,1)}
       102:{1,6}:{(99,1),(100,1),(104,1)}
       103:{3,7}:{(100,1),(101,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 366 :   0:{3,4,6,7}:{(1,1),(2,1),(3,1),(15,1),(21,1),(43,1),(49,1),(52,1),(55,1),(57,1),(106,1)}
         1:{1,4,6,7}:{(0,1),(4,1),(7,1),(25,1),(34,1),(74,1),(83,1),(133,1)}
         2:{2,4,6,7}:{(0,1),(5,1),(8,1),(29,1),(36,1),(66,1),(82,1),(134,1)}
         3:{3,5,7}:{(0,1),(7,1),(8,1),(9,1),(10,1),(132,1)}
         4:{1,3,6,7}:{(1,1),(11,1),(12,1),(15,1),(55,1),(100,1),(109,1)}
         5:{2,3,6,7}:{(2,1),(13,1),(14,1),(15,1),(57,1),(91,1),(110,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(13,1),(15,1),(16,1),(38,1),(41,1),(44,1),(47,1),(52,1),(53,1),(155,1)}
         7:{1,5,7}:{(1,1),(3,1),(17,1),(153,1)}
         8:{2,5,7}:{(2,1),(3,1),(19,1),(154,1)}
         9:{3,5,6}:{(3,1),(17,1),(19,1),(21,1),(55,1),(57,1)}
        10:{4,5,7}:{(3,1),(21,1),(52,1),(105,1)}
        11:{1,2,6,7}:{(4,1),(22,1),(23,1),(82,1),(130,1),(136,1),(157,1)}
        12:{1,3,5,7}:{(4,1),(7,1),(23,1),(24,1),(25,1),(31,1),(35,1),(63,1)}
        13:{1,2,6,7}:{(5,1),(26,1),(27,1),(83,1),(120,1),(136,1),(162,1)}
        14:{2,3,5,7}:{(5,1),(8,1),(27,1),(28,1),(29,1),(31,1),(37,1),(71,1)}
        15:{3,6,7}:{(6,1),(31,1),(63,1),(71,1),(79,1),(168,1)}
        16:{1,2,5,7}:{(6,1),(7,1),(8,1),(31,1),(32,1),(59,1),(67,1),(167,1)}
        17:{1,5,6}:{(7,1),(9,1),(34,1),(83,1)}
        18:{1,4,5,7}:{(7,1),(10,1),(25,1),(34,1),(35,1),(64,1)}
        19:{2,5,6}:{(8,1),(9,1),(36,1),(82,1)}
        20:{2,4,5,7}:{(8,1),(10,1),(29,1),(36,1),(37,1),(72,1)}
        21:{4,6}:{(9,1),(10,1)}
        22:{2,3,6,7}:{(11,1),(15,1),(38,1),(39,1),(101,1),(110,1),(137,1)}
        23:{1,2,5,7}:{(11,1),(12,1),(39,1),(40,1),(41,1),(56,1),(138,1)}
        24:{1,3,5,6}:{(12,1),(17,1),(40,1),(42,1),(51,1),(55,1),(89,1),(92,1),(109,1),(142,1),(153,1),(171,1)}
        25:{1,4,7}:{(12,1),(42,1),(43,1),(52,1)}
        26:{1,3,6,7}:{(13,1),(15,1),(44,1),(45,1),(90,1),(109,1),(145,1)}
        27:{1,2,5,7}:{(13,1),(14,1),(45,1),(46,1),(47,1),(58,1),(146,1)}
        28:{2,3,5,6}:{(14,1),(19,1),(46,1),(48,1),(51,1),(57,1),(99,1),(102,1),(110,1),(151,1),(154,1),(171,1)}
        29:{2,4,7}:{(14,1),(48,1),(49,1),(52,1)}
        30:{3,4,6,7}:{(15,1),(38,1),(44,1),(50,1),(52,1),(87,1),(97,1),(104,1),(106,1),(137,1),(145,1)}
        31:{3,5,7}:{(15,1),(16,1),(51,1),(52,1),(171,1)}
        32:{1,2,5,6}:{(16,1),(17,1),(19,1),(51,1),(53,1),(84,1),(94,1),(153,1),(154,1)}
        33:{1,2,4,5,7}:{(16,1),(18,1),(20,1),(41,1),(47,1),(52,1),(53,1),(54,1),(56,1),(58,1),(85,1),(88,1),(95,1),(98,1),(105,1),(107,1),(108,1),(111,1),(138,1),(146,1),(153,1),(154,1)}
        34:{1,4,6}:{(17,1),(18,1),(21,1),(55,1)}
        35:{3,5,7}:{(18,1),(43,1),(55,1),(56,1),(92,1)}
        36:{2,4,6}:{(19,1),(20,1),(21,1),(57,1)}
        37:{3,5,7}:{(20,1),(49,1),(57,1),(58,1),(102,1)}
        38:{2,4,6,7}:{(22,1),(30,1),(59,1),(61,1),(112,1),(126,1),(134,1),(162,1)}
        39:{2,3,5,7}:{(22,1),(23,1),(31,1),(59,1),(60,1),(61,1),(63,1),(113,1)}
        40:{1,2,5,6}:{(23,1),(24,1),(60,1),(62,1),(82,1),(121,1),(136,1),(157,1),(158,1),(161,1),(167,1)}
        41:{1,2,4,7}:{(23,1),(25,1),(61,1),(62,1),(63,1),(66,1),(116,1),(120,1)}
        42:{1,4,6}:{(24,1),(25,1),(64,1),(65,1),(77,1),(159,1),(174,1)}
        43:{3,4,7}:{(25,1),(35,1),(63,1),(65,1),(66,1)}
        44:{1,4,6,7}:{(26,1),(30,1),(67,1),(69,1),(116,1),(122,1),(133,1),(157,1)}
        45:{1,3,5,7}:{(26,1),(27,1),(31,1),(67,1),(68,1),(69,1),(71,1),(123,1)}
        46:{1,2,5,6}:{(27,1),(28,1),(68,1),(70,1),(83,1),(131,1),(136,1),(162,1),(163,1),(166,1),(167,1)}
        47:{1,2,4,7}:{(27,1),(29,1),(69,1),(70,1),(71,1),(74,1),(126,1),(130,1)}
        48:{2,4,6}:{(28,1),(29,1),(72,1),(73,1),(77,1),(165,1),(174,1)}
        49:{3,4,7}:{(29,1),(37,1),(71,1),(73,1),(74,1)}
        50:{3,5,7}:{(30,1),(59,1),(67,1),(75,1),(76,1),(132,1)}
        51:{3,5,6}:{(31,1),(32,1),(77,1),(79,1),(132,1)}
        52:{4,7}:{(31,1),(77,1),(174,1)}
        53:{1,2,4,6}:{(32,1),(33,1),(34,1),(36,1),(77,1),(79,1),(82,1),(83,1),(112,1),(122,1),(133,1),(134,1),(136,1),(157,1),(162,1)}
        54:{3,5,7}:{(33,1),(63,1),(71,1),(78,1),(79,1),(117,1),(127,1),(132,1)}
        55:{3,6}:{(34,1),(35,1),(82,1)}
        56:{2,5,7}:{(35,1),(66,1),(82,1),(121,1)}
        57:{3,6}:{(36,1),(37,1),(83,1)}
        58:{1,5,7}:{(37,1),(74,1),(83,1),(131,1)}
        59:{2,5,7}:{(38,1),(50,1),(84,1),(154,1)}
        60:{2,3,5,6}:{(39,1),(40,1),(51,1),(84,1),(86,1),(89,1),(110,1),(137,1),(139,1),(143,1),(154,1),(171,1)}
        61:{2,4,7}:{(39,1),(52,1),(86,1),(87,1)}
        62:{1,2,4,6}:{(40,1),(41,1),(42,1),(86,1),(88,1),(89,1),(93,1),(140,1),(144,1),(169,1)}
        63:{3,7}:{(41,1),(89,1)}
        64:{1,4,5}:{(42,1),(92,1),(105,1),(153,1)}
        65:{3,4,6}:{(42,1),(43,1),(55,1),(89,1),(92,1),(93,1),(141,1)}
        66:{2,4,7}:{(43,1),(56,1),(91,1),(93,1)}
        67:{1,5,7}:{(44,1),(50,1),(94,1),(153,1)}
        68:{1,3,5,6}:{(45,1),(46,1),(51,1),(94,1),(96,1),(99,1),(109,1),(145,1),(147,1),(150,1),(153,1),(171,1)}
        69:{1,4,7}:{(45,1),(52,1),(96,1),(97,1)}
        70:{1,2,4,6}:{(46,1),(47,1),(48,1),(96,1),(98,1),(99,1),(103,1),(148,1),(152,1),(170,1)}
        71:{3,7}:{(47,1),(99,1)}
        72:{2,4,5}:{(48,1),(102,1),(105,1),(154,1)}
        73:{3,4,6}:{(48,1),(49,1),(57,1),(99,1),(102,1),(103,1),(149,1)}
        74:{1,4,7}:{(49,1),(58,1),(100,1),(103,1)}
        75:{3,5,6}:{(50,1),(84,1),(94,1),(104,1),(137,1),(145,1)}
        76:{4,5,7}:{(50,1),(52,1),(104,1),(105,1)}
        77:{4,6}:{(51,1),(52,1),(105,1)}
        78:{3,4,7}:{(52,1),(54,1),(106,1),(107,1),(108,1),(141,1),(149,1),(156,1)}
        79:{3,6}:{(53,1),(54,1)}
        80:{1,3,5,7}:{(54,1),(58,1),(90,1),(100,1),(107,1),(109,1),(111,1),(138,1),(142,1),(150,1),(153,1),(156,1),(171,1)}
        81:{2,3,5,7}:{(54,1),(56,1),(91,1),(101,1),(108,1),(110,1),(111,1),(143,1),(146,1),(151,1),(154,1),(156,1),(171,1)}
        82:{2,6}:{(55,1),(56,1)}
        83:{1,6}:{(57,1),(58,1)}
        84:{2,5,6}:{(59,1),(75,1),(112,1),(162,1)}
        85:{2,4,5,7}:{(59,1),(61,1),(76,1),(112,1),(113,1),(114,1)}
        86:{2,4,6}:{(60,1),(61,1),(77,1),(114,1),(115,1),(160,1),(174,1)}
        87:{3,4,7}:{(61,1),(63,1),(113,1),(115,1),(116,1)}
        88:{1,2,4,5}:{(62,1),(64,1),(114,1),(117,1),(121,1),(158,1),(159,1),(160,1),(161,1),(167,1),(174,1)}
        89:{3,6}:{(62,1),(63,1),(117,1),(172,1)}
        90:{1,3,7}:{(63,1),(116,1),(118,1),(120,1)}
        91:{2,3,7}:{(63,1),(66,1),(119,1),(120,1)}
        92:{3,5}:{(64,1),(65,1),(121,1)}
        93:{2,4,6}:{(65,1),(66,1),(82,1),(119,1),(121,1),(160,1)}
        94:{1,5,6}:{(67,1),(75,1),(122,1),(157,1)}
        95:{1,4,5,7}:{(67,1),(69,1),(76,1),(122,1),(123,1),(124,1)}
        96:{1,4,6}:{(68,1),(69,1),(77,1),(124,1),(125,1),(164,1),(174,1)}
        97:{3,4,7}:{(69,1),(71,1),(123,1),(125,1),(126,1)}
        98:{1,2,4,5}:{(70,1),(72,1),(124,1),(127,1),(131,1),(163,1),(164,1),(165,1),(166,1),(167,1),(174,1)}
        99:{3,6}:{(70,1),(71,1),(127,1),(173,1)}
       100:{1,3,7}:{(71,1),(74,1),(128,1),(130,1)}
       101:{2,3,7}:{(71,1),(126,1),(129,1),(130,1)}
       102:{3,5}:{(72,1),(73,1),(131,1)}
       103:{1,4,6}:{(73,1),(74,1),(83,1),(128,1),(131,1),(164,1)}
       104:{4,6}:{(75,1),(76,1)}
       105:{4,5}:{(77,1),(132,1),(174,1)}
       106:{3,4,6}:{(77,1),(78,1),(79,1),(132,1),(133,1),(134,1),(168,1),(174,1)}
       107:{1,4,7}:{(78,1),(80,1),(133,1),(159,1),(164,1),(174,1)}
       108:{2,4,7}:{(78,1),(81,1),(134,1),(160,1),(165,1),(174,1)}
       109:{1,3,6}:{(79,1),(80,1),(83,1),(133,1),(136,1),(157,1),(168,1)}
       110:{2,3,6}:{(79,1),(81,1),(82,1),(134,1),(136,1),(162,1),(168,1)}
       111:{1,2,5,7}:{(80,1),(81,1),(120,1),(130,1),(135,1),(136,1),(161,1),(166,1),(167,1)}
       112:{2,4,6}:{(84,1),(85,1),(104,1),(137,1)}
       113:{3,5,7}:{(85,1),(87,1),(137,1),(138,1),(139,1)}
       114:{2,4,5}:{(86,1),(105,1),(139,1),(154,1)}
       115:{3,4,6}:{(86,1),(87,1),(89,1),(137,1),(139,1),(140,1),(141,1)}
       116:{1,4,7}:{(87,1),(90,1),(138,1),(140,1)}
       117:{3,5}:{(88,1),(89,1),(141,1)}
       118:{1,3,6}:{(89,1),(90,1),(140,1),(142,1),(144,1)}
       119:{2,3,6}:{(89,1),(91,1),(93,1),(143,1),(144,1)}
       120:{1,2,7}:{(90,1),(91,1),(144,1)}
       121:{2,5}:{(92,1),(93,1)}
       122:{1,4,6}:{(94,1),(95,1),(104,1),(145,1)}
       123:{3,5,7}:{(95,1),(97,1),(145,1),(146,1),(147,1)}
       124:{1,4,5}:{(96,1),(105,1),(147,1),(153,1)}
       125:{3,4,6}:{(96,1),(97,1),(99,1),(145,1),(147,1),(148,1),(149,1)}
       126:{2,4,7}:{(97,1),(101,1),(146,1),(148,1)}
       127:{3,5}:{(98,1),(99,1),(149,1)}
       128:{1,3,6}:{(99,1),(100,1),(103,1),(150,1),(152,1)}
       129:{2,3,6}:{(99,1),(101,1),(148,1),(151,1),(152,1)}
       130:{1,2,7}:{(100,1),(101,1),(152,1)}
       131:{1,5}:{(102,1),(103,1)}
       132:{3,5}:{(105,1),(106,1),(153,1),(154,1)}
       133:{1,4,6}:{(106,1),(107,1),(109,1),(153,1)}
       134:{2,4,6}:{(106,1),(108,1),(110,1),(154,1)}
       135:{1,2,4,7}:{(107,1),(108,1),(111,1),(155,1),(156,1),(169,1),(170,1)}
       136:{1,2,6}:{(109,1),(110,1),(111,1)}
       137:{3,6}:{(112,1),(113,1),(157,1)}
       138:{1,5,7}:{(113,1),(116,1),(157,1),(158,1)}
       139:{3,5}:{(114,1),(115,1),(158,1)}
       140:{1,4,6}:{(115,1),(116,1),(118,1),(157,1),(158,1),(159,1)}
       141:{3,4}:{(117,1),(159,1),(160,1),(172,1),(174,1)}
       142:{1,3,5}:{(117,1),(118,1),(158,1),(159,1),(161,1),(172,1)}
       143:{2,3,5}:{(117,1),(119,1),(121,1),(160,1),(161,1),(172,1)}
       144:{1,2,6}:{(118,1),(119,1),(120,1),(161,1)}
       145:{3,6}:{(122,1),(123,1),(162,1)}
       146:{2,5,7}:{(123,1),(126,1),(162,1),(163,1)}
       147:{3,5}:{(124,1),(125,1),(163,1)}
       148:{2,4,6}:{(125,1),(126,1),(129,1),(162,1),(163,1),(165,1)}
       149:{3,4}:{(127,1),(164,1),(165,1),(173,1),(174,1)}
       150:{1,3,5}:{(127,1),(128,1),(131,1),(164,1),(166,1),(173,1)}
       151:{2,3,5}:{(127,1),(129,1),(163,1),(165,1),(166,1),(173,1)}
       152:{1,2,6}:{(128,1),(129,1),(130,1),(166,1)}
       153:{1,5}:{(132,1),(133,1)}
       154:{2,5}:{(132,1),(134,1)}
       155:{1,2,4,6}:{(133,1),(134,1),(135,1),(136,1),(167,1),(168,1),(174,1)}
       156:{3,7}:{(135,1),(168,1),(172,1),(173,1)}
       157:{1,6}:{(137,1),(138,1)}
       158:{1,5}:{(139,1),(140,1)}
       159:{1,4}:{(141,1),(142,1)}
       160:{2,4}:{(141,1),(143,1)}
       161:{1,2,5}:{(142,1),(143,1),(144,1),(169,1)}
       162:{2,6}:{(145,1),(146,1)}
       163:{2,5}:{(147,1),(148,1)}
       164:{1,4}:{(149,1),(150,1)}
       165:{2,4}:{(149,1),(151,1)}
       166:{1,2,5}:{(150,1),(151,1),(152,1),(170,1)}
       167:{1,2,5}:{(153,1),(154,1),(155,1),(171,1)}
       168:{3,6}:{(155,1),(156,1),(171,1)}
       169:{1,2,4}:{(159,1),(160,1),(161,1),(172,1)}
       170:{1,2,4}:{(164,1),(165,1),(166,1),(173,1)}
       171:{3,5}:{(167,1),(168,1),(174,1)}
       172:{3}:{(169,1)}
       173:{3}:{(170,1)}
       174:{4}:{(171,1)}

 367 :   0:{3,5,6,7}:{(1,1),(2,1),(3,1),(9,1),(11,1),(13,1)}
         1:{1,5,6,7}:{(0,1),(4,1),(22,1),(26,1)}
         2:{2,5,6,7}:{(0,1),(5,1),(19,1),(27,1)}
         3:{4,6,7}:{(0,1),(6,1)}
         4:{1,4,6,7}:{(1,1),(3,1),(8,1),(9,1)}
         5:{2,4,6,7}:{(2,1),(3,1),(10,1),(11,1)}
         6:{4,5,7}:{(3,1),(12,1),(13,1),(93,1)}
         7:{3,4,6,7}:{(3,1),(9,1),(11,1),(13,1),(14,1),(15,1),(30,1),(35,1),(39,1),(45,1),(93,1)}
         8:{1,4,5,7}:{(4,1),(6,1),(16,1),(17,1),(26,1),(49,1)}
         9:{3,6,7}:{(4,1),(17,1),(19,1)}
        10:{2,4,5,7}:{(5,1),(6,1),(20,1),(21,1),(27,1),(57,1)}
        11:{3,6,7}:{(5,1),(21,1),(22,1)}
        12:{4,5,6}:{(6,1),(24,1),(120,1)}
        13:{3,5,7}:{(6,1),(7,1),(24,1),(26,1),(27,1)}
        14:{1,4,6,7}:{(7,1),(18,1),(22,1),(26,1),(49,1),(56,1),(60,1)}
        15:{2,4,6,7}:{(7,1),(19,1),(23,1),(27,1),(50,1),(57,1),(61,1)}
        16:{1,4,5,6}:{(8,1),(12,1),(29,1),(40,1),(69,1)}
        17:{3,5,7}:{(8,1),(9,1),(29,1),(30,1),(32,1)}
        18:{1,3,6,7}:{(9,1),(14,1),(31,1),(33,1),(45,1),(81,1),(86,1)}
        19:{2,6,7}:{(9,1),(32,1)}
        20:{2,4,5,6}:{(10,1),(12,1),(34,1),(41,1),(79,1)}
        21:{3,5,7}:{(10,1),(11,1),(34,1),(35,1),(36,1)}
        22:{1,6,7}:{(11,1),(36,1)}
        23:{2,3,6,7}:{(11,1),(15,1),(37,1),(38,1),(45,1),(73,1),(87,1)}
        24:{3,5,6}:{(12,1),(13,1),(39,1),(40,1),(41,1)}
        25:{3,4,5,7}:{(13,1),(30,1),(35,1),(39,1),(42,1),(43,1),(68,1),(77,1),(92,1),(93,1),(153,1)}
        26:{1,5,7}:{(13,1),(14,1),(40,1)}
        27:{2,5,7}:{(13,1),(15,1),(41,1)}
        28:{1,2,4,6,7}:{(14,1),(15,1),(33,1),(38,1),(44,1),(45,1),(74,1),(76,1),(83,1),(85,1),(88,1),(93,1)}
        29:{3,5,6}:{(16,1),(17,1),(46,1),(48,1)}
        30:{3,4,7}:{(17,1),(46,1),(49,1),(50,1),(103,1)}
        31:{1,3,5,7}:{(17,1),(18,1),(26,1),(47,1),(49,1),(51,1),(66,1),(103,1)}
        32:{2,5,7}:{(17,1),(19,1),(48,1),(50,1)}
        33:{1,2,6,7}:{(18,1),(19,1),(51,1),(52,1),(112,1),(117,1),(204,1)}
        34:{3,5,6}:{(20,1),(21,1),(53,1),(54,1)}
        35:{3,4,7}:{(21,1),(53,1),(56,1),(57,1),(114,1)}
        36:{1,5,7}:{(21,1),(22,1),(54,1),(56,1)}
        37:{2,3,5,7}:{(21,1),(23,1),(27,1),(55,1),(57,1),(58,1),(66,1),(114,1)}
        38:{1,2,6,7}:{(22,1),(23,1),(58,1),(59,1),(102,1),(118,1),(209,1)}
        39:{3,4,6}:{(24,1),(25,1),(60,1),(61,1),(119,1),(120,1)}
        40:{1,5,6}:{(24,1),(26,1),(60,1)}
        41:{2,5,6}:{(24,1),(27,1),(61,1)}
        42:{1,4,5,7}:{(25,1),(26,1),(49,1),(56,1),(60,1),(63,1),(95,1),(106,1)}
        43:{2,4,5,7}:{(25,1),(27,1),(50,1),(57,1),(61,1),(64,1),(96,1),(107,1)}
        44:{1,2,5,7}:{(26,1),(27,1),(28,1),(62,1),(66,1),(105,1),(116,1)}
        45:{3,6,7}:{(28,1),(66,1),(103,1),(114,1),(119,1)}
        46:{3,4,6}:{(29,1),(30,1),(68,1),(69,1),(70,1),(131,1)}
        47:{1,3,5,6}:{(29,1),(31,1),(40,1),(69,1),(71,1),(86,1),(89,1),(126,1),(131,1)}
        48:{2,5,6}:{(29,1),(32,1),(70,1)}
        49:{1,4,7}:{(30,1),(31,1),(69,1),(93,1)}
        50:{2,4,7}:{(30,1),(32,1),(70,1),(73,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(71,1),(74,1),(75,1),(188,1)}
        52:{2,3,6,7}:{(33,1),(45,1),(75,1),(76,1),(145,1),(150,1),(189,1)}
        53:{3,4,6}:{(34,1),(35,1),(77,1),(78,1),(79,1),(143,1)}
        54:{1,5,6}:{(34,1),(36,1),(78,1)}
        55:{2,3,5,6}:{(34,1),(37,1),(41,1),(79,1),(80,1),(87,1),(89,1),(139,1),(143,1)}
        56:{1,4,7}:{(35,1),(36,1),(78,1),(81,1)}
        57:{2,4,7}:{(35,1),(37,1),(79,1),(93,1)}
        58:{1,2,5,7}:{(36,1),(37,1),(38,1),(80,1),(83,1),(84,1),(196,1)}
        59:{1,3,6,7}:{(38,1),(45,1),(84,1),(85,1),(134,1),(151,1),(197,1)}
        60:{1,4,6}:{(39,1),(40,1),(42,1),(86,1)}
        61:{2,4,6}:{(39,1),(41,1),(43,1),(87,1)}
        62:{1,2,5,6}:{(40,1),(41,1),(44,1),(88,1),(89,1),(137,1),(149,1),(198,1),(199,1)}
        63:{1,3,5,7}:{(42,1),(72,1),(81,1),(86,1),(90,1),(92,1),(126,1),(138,1),(188,1)}
        64:{2,3,5,7}:{(43,1),(73,1),(82,1),(87,1),(91,1),(92,1),(127,1),(139,1),(196,1)}
        65:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(74,1),(83,1),(88,1),(90,1),(91,1),(92,1),(93,1),(128,1),(136,1),(140,1),(148,1),(153,1),(154,1),(155,1),(188,1),(196,1),(198,1),(199,1)}
        66:{3,5,7}:{(44,1),(45,1),(89,1),(93,1)}
        67:{3,4,6,7}:{(45,1),(76,1),(85,1),(93,1),(94,1),(135,1),(147,1),(152,1),(156,1),(189,1),(197,1)}
        68:{3,4,5}:{(46,1),(95,1),(96,1),(160,1)}
        69:{1,4,6}:{(46,1),(47,1),(49,1),(95,1),(120,1)}
        70:{2,4,6}:{(46,1),(48,1),(50,1),(96,1),(98,1)}
        71:{1,2,5,6}:{(47,1),(48,1),(51,1),(99,1),(100,1),(117,1),(158,1),(203,1),(204,1)}
        72:{1,3,4,7}:{(49,1),(63,1),(97,1),(101,1),(103,1),(123,1),(165,1),(168,1)}
        73:{2,3,7}:{(50,1),(98,1),(102,1),(103,1)}
        74:{1,2,4,7}:{(49,1),(50,1),(51,1),(99,1),(102,1),(103,1),(104,1),(165,1)}
        75:{2,3,5,7}:{(51,1),(52,1),(66,1),(100,1),(103,1),(104,1),(105,1),(166,1)}
        76:{2,4,6,7}:{(52,1),(67,1),(104,1),(105,1),(167,1),(176,1),(179,1),(209,1)}
        77:{3,4,5}:{(53,1),(106,1),(107,1),(171,1)}
        78:{1,4,6}:{(53,1),(54,1),(56,1),(106,1),(108,1)}
        79:{2,4,6}:{(53,1),(55,1),(57,1),(107,1),(120,1)}
        80:{1,2,5,6}:{(54,1),(55,1),(58,1),(110,1),(111,1),(118,1),(170,1),(208,1),(209,1)}
        81:{1,3,7}:{(56,1),(108,1),(112,1),(114,1)}
        82:{2,3,4,7}:{(57,1),(64,1),(109,1),(113,1),(114,1),(123,1),(157,1),(176,1)}
        83:{1,2,4,7}:{(56,1),(57,1),(58,1),(110,1),(112,1),(114,1),(115,1),(176,1)}
        84:{1,3,5,7}:{(58,1),(59,1),(66,1),(111,1),(114,1),(115,1),(116,1),(177,1)}
        85:{1,4,6,7}:{(59,1),(67,1),(115,1),(116,1),(165,1),(178,1),(180,1),(204,1)}
        86:{1,3,6}:{(60,1),(63,1),(117,1),(119,1),(204,1)}
        87:{2,3,6}:{(61,1),(64,1),(118,1),(119,1),(209,1)}
        88:{1,2,4,6}:{(60,1),(61,1),(62,1),(65,1),(117,1),(118,1),(119,1),(120,1),(167,1),(178,1),(179,1),(180,1),(204,1),(209,1)}
        89:{3,5,6}:{(62,1),(66,1),(119,1),(120,1),(181,1)}
        90:{1,2,5,7}:{(63,1),(101,1),(112,1),(117,1),(121,1),(158,1),(169,1)}
        91:{1,2,5,7}:{(64,1),(102,1),(113,1),(118,1),(122,1),(159,1),(170,1)}
        92:{3,5,7}:{(65,1),(103,1),(114,1),(119,1),(123,1),(160,1),(171,1),(181,1)}
        93:{4,7}:{(66,1),(120,1)}
        94:{3,5,7}:{(67,1),(105,1),(116,1),(124,1),(125,1),(181,1)}
        95:{1,4,5}:{(68,1),(69,1),(126,1),(153,1)}
        96:{2,4,5}:{(68,1),(70,1),(127,1)}
        97:{1,3,4,6}:{(69,1),(72,1),(86,1),(126,1),(129,1),(131,1),(152,1),(185,1),(186,1)}
        98:{2,3,6}:{(70,1),(73,1),(127,1),(130,1),(131,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(71,1),(74,1),(128,1),(130,1),(131,1),(132,1),(186,1)}
       100:{2,3,5,6}:{(71,1),(75,1),(89,1),(131,1),(132,1),(137,1),(150,1),(183,1),(187,1),(189,1),(198,1)}
       101:{1,2,4,7}:{(72,1),(90,1),(129,1),(133,1),(154,1),(190,1)}
       102:{1,2,7}:{(73,1),(130,1),(134,1)}
       103:{3,7}:{(74,1),(131,1)}
       104:{2,4,7}:{(75,1),(93,1),(132,1),(135,1)}
       105:{2,5,7}:{(76,1),(94,1),(137,1),(198,1)}
       106:{1,4,5}:{(77,1),(78,1),(138,1)}
       107:{2,4,5}:{(77,1),(79,1),(139,1),(153,1)}
       108:{1,3,6}:{(78,1),(81,1),(138,1),(141,1),(143,1)}
       109:{2,3,4,6}:{(79,1),(82,1),(87,1),(139,1),(142,1),(143,1),(152,1),(193,1),(194,1)}
       110:{1,2,4,6}:{(78,1),(79,1),(80,1),(83,1),(140,1),(141,1),(143,1),(144,1),(194,1)}
       111:{1,3,5,6}:{(80,1),(84,1),(89,1),(143,1),(144,1),(149,1),(151,1),(192,1),(195,1),(197,1),(199,1)}
       112:{1,2,7}:{(81,1),(141,1),(145,1)}
       113:{1,2,4,7}:{(82,1),(91,1),(142,1),(146,1),(155,1),(182,1)}
       114:{3,7}:{(83,1),(143,1)}
       115:{1,4,7}:{(84,1),(93,1),(144,1),(147,1)}
       116:{1,5,7}:{(85,1),(94,1),(149,1),(199,1)}
       117:{1,2,6}:{(86,1),(90,1),(150,1)}
       118:{1,2,6}:{(87,1),(91,1),(151,1)}
       119:{3,6}:{(88,1),(92,1)}
       120:{4,6}:{(89,1),(93,1),(153,1)}
       121:{2,3,5,7}:{(90,1),(92,1),(133,1),(145,1),(150,1),(154,1),(183,1),(191,1),(196,1),(198,1)}
       122:{1,3,5,7}:{(91,1),(92,1),(134,1),(146,1),(151,1),(155,1),(184,1),(188,1),(192,1),(199,1)}
       123:{3,4,7}:{(92,1),(93,1),(152,1),(154,1),(155,1),(185,1),(193,1)}
       124:{4,5,7}:{(93,1),(94,1),(153,1),(156,1)}
       125:{3,5,6}:{(94,1),(137,1),(149,1),(156,1),(189,1),(197,1)}
       126:{1,3,5}:{(95,1),(97,1),(158,1),(160,1),(181,1),(203,1)}
       127:{2,3,5}:{(96,1),(98,1),(157,1),(159,1),(160,1)}
       128:{1,2,4,5}:{(95,1),(96,1),(99,1),(158,1),(159,1),(160,1),(164,1),(201,1),(202,1),(203,1)}
       129:{1,2,4,6}:{(97,1),(101,1),(117,1),(158,1),(161,1),(179,1),(201,1)}
       130:{1,2,6}:{(98,1),(102,1),(159,1),(162,1)}
       131:{3,6}:{(99,1),(103,1),(160,1)}
       132:{2,4,6}:{(100,1),(104,1),(120,1),(163,1),(164,1),(201,1)}
       133:{2,3,7}:{(101,1),(103,1),(161,1),(205,1)}
       134:{1,3,7}:{(102,1),(103,1),(162,1),(165,1)}
       135:{3,4,7}:{(103,1),(104,1),(163,1),(165,1),(166,1)}
       136:{2,4,5,7}:{(104,1),(105,1),(124,1),(164,1),(166,1),(167,1)}
       137:{2,5,6}:{(105,1),(125,1),(167,1),(209,1)}
       138:{1,3,5}:{(106,1),(108,1),(168,1),(169,1),(171,1)}
       139:{2,3,5}:{(107,1),(109,1),(170,1),(171,1),(181,1),(208,1)}
       140:{1,2,4,5}:{(106,1),(107,1),(110,1),(169,1),(170,1),(171,1),(175,1),(206,1),(207,1),(208,1)}
       141:{1,2,6}:{(108,1),(112,1),(169,1),(172,1)}
       142:{1,2,4,6}:{(109,1),(113,1),(118,1),(170,1),(173,1),(180,1),(207,1)}
       143:{3,6}:{(110,1),(114,1),(171,1)}
       144:{1,4,6}:{(111,1),(115,1),(120,1),(174,1),(175,1),(207,1)}
       145:{2,3,7}:{(112,1),(114,1),(172,1),(176,1)}
       146:{1,3,7}:{(113,1),(114,1),(173,1),(200,1)}
       147:{3,4,7}:{(114,1),(115,1),(174,1),(176,1),(177,1)}
       148:{1,4,5,7}:{(115,1),(116,1),(124,1),(175,1),(177,1),(178,1)}
       149:{1,5,6}:{(116,1),(125,1),(178,1),(204,1)}
       150:{2,3,6}:{(117,1),(119,1),(121,1),(179,1),(209,1)}
       151:{1,3,6}:{(118,1),(119,1),(122,1),(180,1),(204,1)}
       152:{3,4,6}:{(119,1),(120,1),(123,1),(179,1),(180,1),(181,1)}
       153:{4,5}:{(120,1),(181,1)}
       154:{2,4,7}:{(121,1),(123,1),(179,1),(201,1),(206,1)}
       155:{1,4,7}:{(122,1),(123,1),(180,1),(202,1),(207,1)}
       156:{4,6}:{(124,1),(125,1)}
       157:{2,3,4}:{(127,1),(182,1),(185,1)}
       158:{1,2,5}:{(126,1),(129,1),(183,1),(198,1)}
       159:{1,2,5}:{(127,1),(130,1),(182,1),(184,1)}
       160:{3,5}:{(128,1),(131,1),(185,1)}
       161:{2,3,6}:{(129,1),(131,1),(133,1),(183,1)}
       162:{1,3,6}:{(130,1),(131,1),(134,1),(184,1),(186,1)}
       163:{3,4,6}:{(131,1),(132,1),(135,1),(185,1),(186,1),(187,1),(189,1)}
       164:{2,4,5}:{(132,1),(153,1),(187,1),(198,1)}
       165:{1,4,7}:{(134,1),(135,1),(186,1),(188,1)}
       166:{3,5,7}:{(135,1),(136,1),(187,1),(188,1),(189,1)}
       167:{2,4,6}:{(136,1),(137,1),(156,1),(189,1)}
       168:{1,3,4}:{(138,1),(190,1),(193,1)}
       169:{1,2,5}:{(138,1),(141,1),(190,1),(191,1)}
       170:{1,2,5}:{(139,1),(142,1),(192,1),(199,1)}
       171:{3,5}:{(140,1),(143,1),(193,1)}
       172:{2,3,6}:{(141,1),(143,1),(145,1),(191,1),(194,1)}
       173:{1,3,6}:{(142,1),(143,1),(146,1),(192,1)}
       174:{3,4,6}:{(143,1),(144,1),(147,1),(193,1),(194,1),(195,1),(197,1)}
       175:{1,4,5}:{(144,1),(153,1),(195,1),(199,1)}
       176:{2,4,7}:{(145,1),(147,1),(194,1),(196,1)}
       177:{3,5,7}:{(147,1),(148,1),(195,1),(196,1),(197,1)}
       178:{1,4,6}:{(148,1),(149,1),(156,1),(197,1)}
       179:{2,4,6}:{(150,1),(152,1),(154,1),(198,1)}
       180:{1,4,6}:{(151,1),(152,1),(155,1),(199,1)}
       181:{3,5}:{(152,1),(153,1),(198,1),(199,1)}
       182:{1,2,4}:{(157,1),(159,1),(200,1),(202,1)}
       183:{2,3,5}:{(158,1),(160,1),(161,1),(201,1)}
       184:{1,3,5}:{(159,1),(160,1),(162,1),(200,1),(202,1),(203,1)}
       185:{3,4}:{(160,1),(201,1),(202,1)}
       186:{1,4,6}:{(162,1),(163,1),(165,1),(202,1),(203,1),(204,1)}
       187:{3,5}:{(163,1),(164,1),(203,1)}
       188:{1,5,7}:{(165,1),(166,1),(203,1),(204,1)}
       189:{3,6}:{(166,1),(167,1),(204,1)}
       190:{1,2,4}:{(168,1),(169,1),(205,1),(206,1)}
       191:{2,3,5}:{(169,1),(171,1),(172,1),(205,1),(206,1),(208,1)}
       192:{1,3,5}:{(170,1),(171,1),(173,1),(207,1)}
       193:{3,4}:{(171,1),(206,1),(207,1)}
       194:{2,4,6}:{(172,1),(174,1),(176,1),(206,1),(208,1),(209,1)}
       195:{3,5}:{(174,1),(175,1),(208,1)}
       196:{2,5,7}:{(176,1),(177,1),(208,1),(209,1)}
       197:{3,6}:{(177,1),(178,1),(209,1)}
       198:{2,5}:{(179,1),(181,1)}
       199:{1,5}:{(180,1),(181,1)}
       200:{1,3}:{(182,1)}
       201:{2,4}:{(183,1),(185,1)}
       202:{1,4}:{(184,1),(185,1)}
       203:{1,5}:{(186,1),(187,1)}
       204:{1,6}:{(188,1),(189,1)}
       205:{2,3}:{(190,1)}
       206:{2,4}:{(191,1),(193,1)}
       207:{1,4}:{(192,1),(193,1)}
       208:{2,5}:{(194,1),(195,1)}
       209:{2,6}:{(196,1),(197,1)}

 368 :  0:{1,2,5,6}:{(1,1),(2,1),(3,1),(33,1),(34,1),(53,1),(54,1)}
        1:{3,5,6}:{(0,1),(5,1),(6,1),(7,1),(21,1),(46,1),(47,1)}
        2:{1,2,4,6}:{(0,1),(4,1),(5,1),(7,1),(8,1),(23,1),(24,1),(27,1)}
        3:{1,2,5,7}:{(0,1),(6,1),(8,1),(9,1),(44,1),(45,1)}
        4:{1,2,4,5}:{(2,1),(10,1),(11,1),(30,1),(31,1),(32,1),(33,1),(34,1)}
        5:{4,6}:{(1,1),(11,1),(13,1)}
        6:{3,5,7}:{(1,1),(3,1),(13,1),(14,1),(17,1),(40,1)}
        7:{3,6}:{(2,1),(10,1),(17,1)}
        8:{1,2,4,7}:{(2,1),(3,1),(13,1),(17,1),(38,1),(39,1),(41,1)}
        9:{1,2,6,7}:{(3,1),(14,1),(53,1),(54,1)}
       10:{3,5}:{(4,1),(7,1),(18,1)}
       11:{4,5}:{(5,1),(21,1),(56,1)}
       12:{3,4,6}:{(5,1),(7,1),(18,1),(21,1),(23,1),(24,1),(25,1),(46,1),(48,1),(56,1),(61,1)}
       13:{4,7}:{(5,1),(6,1)}
       14:{3,6,7}:{(6,1),(9,1),(26,1),(46,1)}
       15:{1,3,6}:{(7,1),(19,1),(23,1),(27,1),(28,1),(48,1)}
       16:{2,3,6}:{(7,1),(20,1),(24,1),(27,1),(29,1),(48,1)}
       17:{3,7}:{(7,1),(8,1)}
       18:{3,4}:{(10,1),(30,1),(31,1),(50,1)}
       19:{1,3,5}:{(10,1),(15,1),(30,1),(32,1),(33,1),(50,1),(51,1)}
       20:{2,3,5}:{(10,1),(16,1),(31,1),(32,1),(34,1),(50,1),(51,1)}
       21:{3,5}:{(11,1),(12,1),(33,1),(34,1),(62,1)}
       22:{4,5,7}:{(11,1),(13,1),(35,1),(36,1),(40,1),(59,1),(62,1)}
       23:{1,4,6}:{(12,1),(15,1),(30,1),(33,1),(38,1),(53,1)}
       24:{2,4,6}:{(12,1),(16,1),(31,1),(34,1),(39,1),(54,1)}
       25:{3,4,7}:{(12,1),(13,1),(17,1),(35,1),(38,1),(39,1),(55,1),(59,1)}
       26:{4,6,7}:{(13,1),(14,1),(36,1),(40,1)}
       27:{1,2,6}:{(15,1),(16,1),(32,1),(41,1)}
       28:{1,3,7}:{(15,1),(17,1),(38,1),(41,1),(55,1)}
       29:{2,3,7}:{(16,1),(17,1),(39,1),(41,1),(55,1)}
       30:{1,4}:{(18,1),(19,1),(56,1)}
       31:{2,4}:{(18,1),(20,1),(56,1)}
       32:{1,2,5}:{(19,1),(20,1),(27,1),(42,1)}
       33:{1,5}:{(21,1),(23,1)}
       34:{2,5}:{(21,1),(24,1)}
       35:{3,5,7}:{(21,1),(22,1),(25,1),(44,1),(45,1),(46,1)}
       36:{4,6}:{(22,1),(46,1),(47,1)}
       37:{1,2,4,6}:{(23,1),(24,1),(27,1),(42,1),(43,1),(48,1),(49,1),(56,1),(58,1),(61,1)}
       38:{1,4,7}:{(23,1),(25,1),(28,1),(44,1)}
       39:{2,4,7}:{(24,1),(25,1),(29,1),(45,1)}
       40:{5,7}:{(26,1),(47,1)}
       41:{1,2,7}:{(27,1),(28,1),(29,1)}
       42:{1,2,4}:{(30,1),(31,1),(32,1),(50,1)}
       43:{1,2,5}:{(33,1),(34,1),(37,1),(51,1),(62,1)}
       44:{1,5,7}:{(33,1),(35,1),(38,1),(53,1)}
       45:{2,5,7}:{(34,1),(35,1),(39,1),(54,1)}
       46:{3,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{5,6}:{(36,1),(40,1),(62,1)}
       48:{3,6}:{(37,1),(50,1),(51,1),(55,1)}
       49:{1,2,4,7}:{(37,1),(38,1),(39,1),(41,1),(52,1),(55,1),(59,1)}
       50:{3}:{(42,1)}
       51:{3,5}:{(43,1),(48,1),(56,1)}
       52:{1,2,5,7}:{(43,1),(44,1),(45,1),(49,1),(57,1),(58,1)}
       53:{1,6}:{(44,1),(46,1)}
       54:{2,6}:{(45,1),(46,1)}
       55:{3,7}:{(48,1),(49,1)}
       56:{4}:{(51,1)}
       57:{3,5,7}:{(51,1),(52,1),(55,1),(59,1),(60,1),(62,1)}
       58:{1,2,6}:{(52,1),(53,1),(54,1),(60,1)}
       59:{4,7}:{(56,1),(57,1),(61,1)}
       60:{3,6}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 369 :  0:{1,2,5,7}:{(1,1),(2,1),(3,1),(14,1),(26,1),(27,1)}
        1:{3,5,7}:{(0,1),(4,1),(5,1),(6,1),(20,1),(24,1)}
        2:{1,2,4,7}:{(0,1),(4,1),(6,1),(7,1),(17,1),(18,1),(21,1)}
        3:{1,2,6}:{(0,1),(5,1),(41,1),(42,1)}
        4:{4,7}:{(1,1),(10,1),(37,1)}
        5:{3,6}:{(1,1),(3,1),(10,1)}
        6:{3,7}:{(2,1),(13,1)}
        7:{1,2,4,6}:{(2,1),(3,1),(10,1),(13,1),(14,1),(31,1),(32,1),(34,1),(37,1),(64,1)}
        8:{4,5,7}:{(4,1),(15,1),(16,1),(20,1),(39,1),(48,1),(69,1),(70,1),(92,1)}
        9:{3,4,7}:{(4,1),(6,1),(15,1),(17,1),(18,1),(19,1),(44,1),(69,1),(70,1),(90,1),(91,1)}
       10:{4,6}:{(4,1),(5,1),(20,1)}
       11:{1,3,7}:{(6,1),(17,1),(21,1),(22,1),(44,1),(90,1)}
       12:{2,3,7}:{(6,1),(18,1),(21,1),(23,1),(44,1),(91,1)}
       13:{3,6}:{(6,1),(7,1),(24,1),(77,1)}
       14:{1,2,5}:{(7,1),(20,1),(24,1),(46,1),(47,1)}
       15:{3,5,7}:{(8,1),(9,1),(26,1),(27,1),(28,1),(33,1)}
       16:{4,6}:{(8,1),(28,1),(29,1)}
       17:{1,4,7}:{(9,1),(11,1),(26,1),(31,1),(97,1)}
       18:{2,4,7}:{(9,1),(12,1),(27,1),(32,1),(96,1)}
       19:{3,4,6}:{(9,1),(10,1),(13,1),(28,1),(31,1),(32,1),(33,1),(37,1),(59,1),(60,1),(65,1),(66,1),(82,1),(83,1),(84,1),(85,1)}
       20:{5}:{(10,1)}
       21:{1,2,7}:{(11,1),(12,1),(34,1),(96,1),(97,1)}
       22:{1,3,6}:{(11,1),(13,1),(31,1),(34,1),(35,1),(60,1),(83,1),(88,1)}
       23:{2,3,6}:{(12,1),(13,1),(32,1),(34,1),(36,1),(60,1),(84,1),(89,1)}
       24:{3,5}:{(13,1),(14,1),(37,1)}
       25:{4,6,7}:{(16,1),(38,1),(39,1),(69,1)}
       26:{1,5,7}:{(15,1),(17,1),(41,1),(46,1)}
       27:{2,5,7}:{(15,1),(18,1),(42,1),(47,1)}
       28:{3,6}:{(15,1),(16,1),(41,1),(42,1)}
       29:{5,6}:{(16,1),(20,1),(39,1),(92,1)}
       30:{1,2,4,7}:{(17,1),(18,1),(21,1),(40,1),(44,1),(45,1),(70,1)}
       31:{1,4,6}:{(17,1),(19,1),(22,1),(41,1),(46,1),(50,1),(79,1),(94,1)}
       32:{2,4,6}:{(18,1),(19,1),(23,1),(42,1),(47,1),(51,1),(78,1),(93,1)}
       33:{3,5}:{(19,1),(20,1),(46,1),(47,1),(48,1),(92,1)}
       34:{1,2,6}:{(21,1),(22,1),(23,1),(49,1),(93,1),(94,1),(95,1)}
       35:{1,3,5}:{(22,1),(24,1),(46,1),(49,1),(50,1),(74,1),(75,1),(77,1)}
       36:{2,3,5}:{(23,1),(24,1),(47,1),(49,1),(51,1),(74,1),(76,1),(77,1)}
       37:{4}:{(24,1)}
       38:{3,6,7}:{(25,1),(28,1),(52,1),(53,1),(54,1)}
       39:{5,7}:{(25,1),(29,1)}
       40:{1,2,5,7}:{(26,1),(27,1),(30,1),(55,1),(56,1),(61,1)}
       41:{1,6}:{(26,1),(28,1)}
       42:{2,6}:{(27,1),(28,1)}
       43:{3,5,6}:{(28,1),(29,1),(33,1),(54,1),(57,1),(58,1),(59,1),(83,1),(84,1)}
       44:{3,7}:{(30,1),(60,1)}
       45:{1,2,4,6}:{(30,1),(31,1),(32,1),(34,1),(56,1),(60,1),(61,1),(64,1),(82,1),(85,1)}
       46:{1,5}:{(31,1),(33,1)}
       47:{2,5}:{(32,1),(33,1)}
       48:{4,5}:{(33,1),(37,1),(59,1),(85,1)}
       49:{1,2,5}:{(34,1),(35,1),(36,1),(64,1),(86,1),(87,1)}
       50:{1,4}:{(35,1),(37,1),(65,1),(85,1)}
       51:{2,4}:{(36,1),(37,1),(66,1),(85,1)}
       52:{1,6,7}:{(38,1),(41,1),(67,1)}
       53:{2,6,7}:{(38,1),(42,1),(68,1)}
       54:{3,5,7}:{(38,1),(39,1),(43,1),(67,1),(68,1),(69,1),(90,1),(91,1)}
       55:{3,5,7}:{(40,1),(44,1),(70,1),(71,1),(74,1),(92,1)}
       56:{1,2,6}:{(40,1),(41,1),(42,1),(71,1)}
       57:{1,5,6}:{(41,1),(43,1),(46,1),(67,1),(72,1),(94,1)}
       58:{2,5,6}:{(42,1),(43,1),(47,1),(68,1),(73,1),(93,1)}
       59:{4,6}:{(43,1),(48,1),(69,1)}
       60:{3,6}:{(44,1),(45,1),(74,1),(77,1)}
       61:{1,2,5}:{(45,1),(46,1),(47,1),(74,1),(92,1)}
       62:{1,4,5}:{(46,1),(48,1),(50,1),(72,1),(75,1)}
       63:{2,4,5}:{(47,1),(48,1),(51,1),(73,1),(76,1)}
       64:{1,2,4}:{(49,1),(50,1),(51,1),(77,1),(78,1),(79,1),(95,1)}
       65:{3,4}:{(50,1),(75,1),(77,1),(78,1)}
       66:{3,4}:{(51,1),(76,1),(77,1),(79,1)}
       67:{1,5,7}:{(52,1),(54,1),(57,1),(80,1),(97,1)}
       68:{2,5,7}:{(53,1),(54,1),(58,1),(81,1),(96,1)}
       69:{4,7}:{(54,1),(59,1)}
       70:{4,7}:{(55,1),(82,1),(85,1)}
       71:{3,6}:{(55,1),(56,1),(82,1)}
       72:{1,4,6}:{(57,1),(59,1),(62,1),(80,1),(83,1)}
       73:{2,4,6}:{(58,1),(59,1),(63,1),(81,1),(84,1)}
       74:{3,5}:{(60,1),(61,1),(85,1)}
       75:{3,5}:{(62,1),(65,1),(83,1),(86,1)}
       76:{3,5}:{(63,1),(66,1),(84,1),(87,1)}
       77:{3}:{(64,1)}
       78:{2,4}:{(65,1),(86,1),(89,1)}
       79:{1,4}:{(66,1),(87,1),(88,1)}
       80:{1,4,7}:{(67,1),(69,1),(72,1),(90,1)}
       81:{2,4,7}:{(68,1),(69,1),(73,1),(91,1)}
       82:{4,6}:{(70,1),(71,1),(92,1)}
       83:{3,6}:{(72,1),(75,1),(90,1),(93,1)}
       84:{3,6}:{(73,1),(76,1),(91,1),(94,1)}
       85:{4}:{(74,1)}
       86:{2,5}:{(75,1),(78,1),(93,1)}
       87:{1,5}:{(76,1),(79,1),(94,1)}
       88:{1,3}:{(77,1),(79,1),(95,1)}
       89:{2,3}:{(77,1),(78,1),(95,1)}
       90:{3,7}:{(80,1),(83,1),(96,1)}
       91:{3,7}:{(81,1),(84,1),(97,1)}
       92:{5}:{(82,1)}
       93:{2,6}:{(83,1),(86,1),(96,1)}
       94:{1,6}:{(84,1),(87,1),(97,1)}
       95:{1,2}:{(88,1),(89,1)}
       96:{2,7}:{(90,1),(93,1)}
       97:{1,7}:{(91,1),(94,1)}

 370 :  0:{1,2,6,7}:{(1,1),(2,1),(41,1),(42,1)}
        1:{3,6,7}:{(0,1),(3,1),(4,1),(30,1)}
        2:{1,2,5,7}:{(0,1),(4,1),(5,1),(6,1),(31,1),(32,1)}
        3:{4,6,7}:{(1,1),(7,1),(9,1),(20,1)}
        4:{3,5,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(11,1)}
        5:{1,2,5,6}:{(2,1),(8,1),(10,1),(41,1),(42,1),(44,1),(45,1)}
        6:{1,2,4,7}:{(2,1),(9,1),(10,1),(11,1),(24,1),(25,1),(29,1)}
        7:{5,7}:{(3,1),(12,1)}
        8:{3,5,6}:{(4,1),(5,1),(12,1),(14,1),(17,1),(30,1),(33,1)}
        9:{4,7}:{(4,1),(14,1)}
       10:{1,2,4,6}:{(5,1),(6,1),(14,1),(16,1),(17,1),(34,1),(35,1),(40,1)}
       11:{3,7}:{(6,1),(17,1)}
       12:{5,6}:{(7,1),(20,1),(62,1)}
       13:{4,5,7}:{(7,1),(9,1),(20,1),(21,1),(22,1),(57,1),(62,1)}
       14:{4,6}:{(8,1),(9,1),(22,1)}
       15:{3,4,7}:{(9,1),(11,1),(21,1),(23,1),(24,1),(25,1),(47,1),(57,1)}
       16:{1,2,4,5}:{(10,1),(22,1),(26,1),(44,1),(45,1),(48,1),(49,1),(50,1)}
       17:{3,6}:{(10,1),(11,1),(26,1)}
       18:{1,3,7}:{(11,1),(24,1),(27,1),(29,1),(47,1)}
       19:{2,3,7}:{(11,1),(25,1),(28,1),(29,1),(47,1)}
       20:{4,6}:{(12,1),(13,1),(30,1)}
       21:{3,5,7}:{(13,1),(15,1),(30,1),(31,1),(32,1),(33,1)}
       22:{4,5}:{(14,1),(33,1),(61,1)}
       23:{3,4,6}:{(14,1),(15,1),(17,1),(30,1),(33,1),(34,1),(35,1),(37,1),(54,1),(60,1),(61,1)}
       24:{1,4,7}:{(15,1),(18,1),(31,1),(34,1)}
       25:{2,4,7}:{(15,1),(19,1),(32,1),(35,1)}
       26:{3,5}:{(16,1),(17,1),(37,1)}
       27:{1,3,6}:{(17,1),(18,1),(34,1),(38,1),(40,1),(54,1)}
       28:{2,3,6}:{(17,1),(19,1),(35,1),(39,1),(40,1),(54,1)}
       29:{1,2,7}:{(18,1),(19,1),(40,1)}
       30:{3,6}:{(20,1),(21,1),(41,1),(42,1)}
       31:{1,5,7}:{(21,1),(24,1),(41,1),(44,1)}
       32:{2,5,7}:{(21,1),(25,1),(42,1),(45,1)}
       33:{3,5}:{(22,1),(23,1),(44,1),(45,1),(62,1)}
       34:{1,4,6}:{(23,1),(24,1),(27,1),(41,1),(44,1),(48,1)}
       35:{2,4,6}:{(23,1),(25,1),(28,1),(42,1),(45,1),(49,1)}
       36:{1,2,4,7}:{(24,1),(25,1),(29,1),(43,1),(46,1),(47,1),(57,1)}
       37:{3,4}:{(26,1),(48,1),(49,1),(59,1)}
       38:{1,3,5}:{(26,1),(27,1),(44,1),(48,1),(50,1),(58,1),(59,1)}
       39:{2,3,5}:{(26,1),(28,1),(45,1),(49,1),(50,1),(58,1),(59,1)}
       40:{1,2,6}:{(27,1),(28,1),(29,1),(50,1)}
       41:{1,6}:{(30,1),(31,1)}
       42:{2,6}:{(30,1),(32,1)}
       43:{1,2,5,7}:{(31,1),(32,1),(36,1),(51,1),(52,1),(53,1)}
       44:{1,5}:{(33,1),(34,1)}
       45:{2,5}:{(33,1),(35,1)}
       46:{1,2,4,6}:{(34,1),(35,1),(36,1),(40,1),(51,1),(53,1),(54,1),(55,1),(60,1),(61,1)}
       47:{3,7}:{(36,1),(54,1)}
       48:{1,4}:{(37,1),(38,1),(61,1)}
       49:{2,4}:{(37,1),(39,1),(61,1)}
       50:{1,2,5}:{(38,1),(39,1),(40,1),(55,1)}
       51:{1,2,6}:{(41,1),(42,1),(43,1),(56,1)}
       52:{3,5,7}:{(43,1),(47,1),(56,1),(57,1),(58,1),(62,1)}
       53:{1,2,5}:{(44,1),(45,1),(46,1),(58,1),(62,1)}
       54:{3,6}:{(46,1),(47,1),(58,1),(59,1)}
       55:{1,2,4}:{(48,1),(49,1),(50,1),(59,1)}
       56:{3,6}:{(51,1),(52,1),(60,1)}
       57:{4,7}:{(52,1),(60,1),(61,1)}
       58:{3,5}:{(53,1),(54,1),(61,1)}
       59:{3}:{(55,1)}
       60:{4,6}:{(56,1),(57,1),(62,1)}
       61:{4}:{(58,1)}
       62:{5}:{(60,1)}

 371 :   0:{1,3,4}:{(2,1),(3,1),(33,1)}
         1:{2,3,4}:{(2,1),(4,1),(33,1)}
         2:{1,2,4}:{(0,1),(1,1),(5,1),(6,1)}
         3:{1,3,5}:{(0,1),(6,1),(7,1),(8,1),(22,1)}
         4:{2,3,5}:{(1,1),(6,1),(9,1),(10,1),(22,1)}
         5:{1,2,3}:{(2,1)}
         6:{1,2,5}:{(2,1),(3,1),(4,1),(13,1)}
         7:{1,4,5}:{(3,1),(14,1),(15,1)}
         8:{1,3,6}:{(3,1),(13,1),(15,1),(16,1),(38,1)}
         9:{2,4,5}:{(4,1),(17,1),(18,1)}
        10:{2,3,6}:{(4,1),(13,1),(18,1),(19,1),(38,1)}
        11:{1,2,3,5}:{(5,1),(6,1),(20,1),(21,1),(22,1),(52,1),(54,1),(86,1)}
        12:{1,2,4,5}:{(6,1),(7,1),(9,1),(20,1),(22,1),(23,1),(25,1),(29,1),(52,1),(54,1),(87,1)}
        13:{1,2,6}:{(6,1),(8,1),(10,1),(24,1)}
        14:{3,4,5}:{(7,1),(22,1),(25,1),(26,1),(87,1)}
        15:{1,4,6}:{(7,1),(8,1),(26,1),(27,1),(28,1)}
        16:{1,3,7}:{(8,1),(24,1),(28,1),(58,1)}
        17:{3,4,5}:{(9,1),(22,1),(29,1),(30,1),(87,1)}
        18:{2,4,6}:{(9,1),(10,1),(30,1),(31,1),(32,1)}
        19:{2,3,7}:{(10,1),(24,1),(32,1),(58,1)}
        20:{1,2,4}:{(11,1),(33,1)}
        21:{1,2,3,6}:{(11,1),(13,1),(34,1),(35,1),(38,1),(74,1)}
        22:{3,5}:{(12,1),(33,1),(38,1)}
        23:{1,2,4,6}:{(12,1),(13,1),(15,1),(18,1),(38,1),(39,1),(40,1),(41,1),(45,1),(74,1),(77,1)}
        24:{1,2,7}:{(13,1),(16,1),(19,1)}
        25:{2,4,5}:{(14,1),(37,1),(41,1)}
        26:{3,4,6}:{(14,1),(15,1),(38,1),(41,1),(42,1),(43,1),(77,1)}
        27:{1,5,6}:{(15,1),(42,1),(44,1)}
        28:{1,4,7}:{(15,1),(16,1),(43,1),(44,1)}
        29:{1,4,5}:{(17,1),(36,1),(45,1)}
        30:{3,4,6}:{(17,1),(18,1),(38,1),(45,1),(46,1),(47,1),(77,1)}
        31:{2,5,6}:{(18,1),(46,1),(48,1)}
        32:{2,4,7}:{(18,1),(19,1),(47,1),(48,1)}
        33:{3,4}:{(20,1),(22,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(51,1),(52,1),(53,1),(89,1)}
        35:{1,2,3,7}:{(21,1),(24,1),(53,1),(58,1),(90,1)}
        36:{1,3,5}:{(22,1),(29,1),(49,1),(54,1),(55,1)}
        37:{2,3,5}:{(22,1),(25,1),(50,1),(54,1),(56,1)}
        38:{3,6}:{(22,1),(23,1),(58,1)}
        39:{1,2,5,6}:{(23,1),(27,1),(31,1),(52,1),(57,1),(59,1),(60,1),(65,1),(89,1)}
        40:{1,2,4,7}:{(23,1),(24,1),(28,1),(32,1),(58,1),(59,1),(61,1),(66,1),(90,1),(91,1)}
        41:{2,4,6}:{(25,1),(26,1),(56,1),(60,1),(61,1)}
        42:{3,5,6}:{(26,1),(27,1),(60,1),(62,1),(63,1)}
        43:{3,4,7}:{(26,1),(28,1),(58,1),(61,1),(63,1),(91,1)}
        44:{1,5,7}:{(27,1),(28,1),(63,1),(64,1)}
        45:{1,4,6}:{(29,1),(30,1),(55,1),(65,1),(66,1)}
        46:{3,5,6}:{(30,1),(31,1),(65,1),(67,1),(68,1)}
        47:{3,4,7}:{(30,1),(32,1),(58,1),(66,1),(68,1),(91,1)}
        48:{2,5,7}:{(31,1),(32,1),(68,1),(69,1)}
        49:{1,3,4}:{(33,1),(36,1),(70,1)}
        50:{2,3,4}:{(33,1),(37,1),(70,1)}
        51:{3,4,6}:{(33,1),(34,1),(38,1),(71,1),(72,1),(77,1),(98,1)}
        52:{1,2,5}:{(34,1),(71,1)}
        53:{1,2,4,7}:{(34,1),(35,1),(72,1),(73,1)}
        54:{1,2,5}:{(36,1),(37,1),(70,1),(74,1)}
        55:{1,3,6}:{(36,1),(38,1),(45,1),(74,1),(75,1)}
        56:{2,3,6}:{(37,1),(38,1),(41,1),(74,1),(76,1)}
        57:{3,5,6}:{(38,1),(39,1),(71,1),(77,1),(78,1),(98,1),(104,1)}
        58:{3,7}:{(38,1),(40,1)}
        59:{1,2,5,7}:{(39,1),(40,1),(44,1),(48,1),(78,1),(79,1),(80,1),(83,1)}
        60:{2,5,6}:{(41,1),(42,1),(80,1)}
        61:{2,4,7}:{(41,1),(43,1),(76,1),(80,1)}
        62:{4,5,6}:{(42,1),(77,1),(81,1),(104,1)}
        63:{3,5,7}:{(42,1),(43,1),(44,1),(80,1),(81,1),(82,1)}
        64:{1,6,7}:{(44,1),(82,1)}
        65:{1,5,6}:{(45,1),(46,1),(83,1)}
        66:{1,4,7}:{(45,1),(47,1),(75,1),(83,1)}
        67:{4,5,6}:{(46,1),(77,1),(84,1),(104,1)}
        68:{3,5,7}:{(46,1),(47,1),(48,1),(83,1),(84,1),(85,1)}
        69:{2,6,7}:{(48,1),(85,1)}
        70:{1,2,4}:{(49,1),(50,1),(54,1),(86,1)}
        71:{3,5}:{(51,1),(52,1),(87,1)}
        72:{3,4,7}:{(51,1),(53,1),(58,1),(88,1),(91,1)}
        73:{1,2,5,7}:{(52,1),(53,1),(88,1),(89,1)}
        74:{1,2,6}:{(54,1),(55,1),(56,1),(90,1)}
        75:{1,3,7}:{(55,1),(58,1),(66,1),(90,1)}
        76:{2,3,7}:{(56,1),(58,1),(61,1),(90,1)}
        77:{4,6}:{(57,1),(87,1),(91,1)}
        78:{3,5,7}:{(57,1),(58,1),(59,1),(91,1),(92,1),(103,1)}
        79:{1,2,6,7}:{(59,1),(64,1),(69,1),(89,1),(92,1),(93,1),(95,1)}
        80:{2,5,7}:{(60,1),(61,1),(63,1),(93,1)}
        81:{4,5,7}:{(62,1),(63,1),(91,1),(94,1),(103,1)}
        82:{3,6,7}:{(63,1),(64,1),(93,1),(94,1)}
        83:{1,5,7}:{(65,1),(66,1),(68,1),(95,1)}
        84:{4,5,7}:{(67,1),(68,1),(91,1),(96,1),(103,1)}
        85:{3,6,7}:{(68,1),(69,1),(95,1),(96,1)}
        86:{1,2,3}:{(70,1)}
        87:{4,5}:{(71,1),(77,1)}
        88:{3,5,7}:{(71,1),(72,1),(73,1),(97,1),(98,1)}
        89:{1,2,6}:{(73,1),(98,1)}
        90:{1,2,7}:{(74,1),(75,1),(76,1)}
        91:{4,7}:{(77,1),(78,1)}
        92:{3,6,7}:{(78,1),(79,1),(98,1),(99,1)}
        93:{2,6,7}:{(80,1),(82,1)}
        94:{4,6,7}:{(81,1),(82,1),(100,1)}
        95:{1,6,7}:{(83,1),(85,1)}
        96:{4,6,7}:{(84,1),(85,1),(101,1)}
        97:{4,5,7}:{(87,1),(88,1),(91,1),(102,1),(103,1)}
        98:{3,6}:{(88,1),(89,1),(102,1)}
        99:{4,6,7}:{(91,1),(92,1),(102,1),(103,1)}
       100:{5,6,7}:{(94,1),(103,1)}
       101:{5,6,7}:{(96,1),(103,1)}
       102:{4,6}:{(97,1),(98,1),(104,1)}
       103:{5,7}:{(99,1),(104,1)}
       104:{5,6}:{(102,1),(103,1)}

 372 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(27,1),(28,1),(34,1),(37,1),(38,1),(39,1),(76,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(42,1),(43,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(25,1),(46,1),(47,1),(55,1),(59,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(31,1),(32,1),(34,1)}
         4:{3,4,6}:{(1,1),(8,1),(12,1),(37,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(12,1),(62,1),(63,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(37,1),(66,1),(67,1),(76,1)}
         7:{1,2,4,5,6}:{(3,1),(14,1),(15,1),(20,1),(42,1),(43,1),(45,1),(88,1),(89,1),(90,1)}
         8:{3,5}:{(3,1),(4,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(19,1),(20,1),(25,1),(51,1),(52,1),(55,1),(60,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(21,1),(22,1),(42,1),(56,1),(78,1),(85,1),(104,1)}
        11:{2,3,4,6}:{(4,1),(18,1),(21,1),(23,1),(43,1),(57,1),(78,1),(85,1),(104,1)}
        12:{3,4,7}:{(4,1),(5,1),(19,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(24,1),(25,1),(80,1),(81,1)}
        14:{3,5,6}:{(7,1),(8,1),(26,1),(29,1),(37,1)}
        15:{1,2,4,5,7}:{(7,1),(29,1),(30,1),(62,1),(63,1),(65,1),(95,1),(96,1),(97,1)}
        16:{3,4,5}:{(8,1),(26,1),(31,1),(32,1),(69,1)}
        17:{1,3,5}:{(8,1),(10,1),(31,1),(34,1),(69,1),(108,1)}
        18:{2,3,5}:{(8,1),(11,1),(32,1),(34,1),(69,1),(108,1)}
        19:{3,5,7}:{(8,1),(9,1),(12,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(37,1),(38,1),(71,1),(72,1),(76,1),(77,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(34,1),(39,1),(40,1),(74,1),(76,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(35,1),(40,1),(62,1),(93,1),(98,1)}
        23:{2,3,4,7}:{(11,1),(12,1),(36,1),(40,1),(63,1),(93,1),(98,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(41,1),(77,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(41,1),(95,1),(96,1)}
        26:{3,4,6}:{(14,1),(16,1),(42,1),(43,1),(44,1),(78,1)}
        27:{1,3,5,6}:{(14,1),(17,1),(42,1),(45,1),(46,1),(56,1),(78,1),(88,1),(105,1)}
        28:{2,3,5,6}:{(14,1),(18,1),(43,1),(45,1),(47,1),(57,1),(78,1),(89,1),(105,1)}
        29:{3,5,7}:{(14,1),(15,1),(44,1),(48,1)}
        30:{1,2,4,6,7}:{(15,1),(20,1),(48,1),(49,1),(80,1),(81,1),(83,1),(84,1)}
        31:{1,4,5}:{(16,1),(17,1),(42,1),(111,1)}
        32:{2,4,5}:{(16,1),(18,1),(43,1),(111,1)}
        33:{3,4,5,7}:{(16,1),(19,1),(44,1),(51,1),(52,1),(53,1),(60,1),(82,1),(86,1),(110,1),(111,1)}
        34:{1,2,5}:{(17,1),(18,1),(21,1)}
        35:{1,3,5,7}:{(17,1),(19,1),(22,1),(51,1),(55,1),(56,1),(86,1)}
        36:{2,3,5,7}:{(18,1),(19,1),(23,1),(52,1),(55,1),(57,1),(86,1)}
        37:{3,6}:{(19,1),(20,1)}
        38:{1,2,5,6}:{(20,1),(25,1),(58,1),(88,1),(89,1)}
        39:{1,2,3,6}:{(21,1),(54,1),(59,1),(78,1)}
        40:{1,2,4,7}:{(21,1),(22,1),(23,1),(55,1),(59,1)}
        41:{3,5,7}:{(24,1),(25,1),(58,1),(60,1)}
        42:{1,4,6}:{(26,1),(27,1),(31,1),(62,1),(109,1)}
        43:{2,4,6}:{(26,1),(28,1),(32,1),(63,1),(109,1)}
        44:{3,4,7}:{(26,1),(29,1),(62,1),(63,1),(93,1)}
        45:{1,2,5,6}:{(27,1),(28,1),(34,1),(61,1),(65,1),(76,1)}
        46:{1,3,5,7}:{(27,1),(29,1),(62,1),(65,1),(66,1),(93,1),(95,1),(107,1)}
        47:{2,3,5,7}:{(28,1),(29,1),(63,1),(65,1),(67,1),(93,1),(96,1),(107,1)}
        48:{3,6,7}:{(29,1),(30,1),(37,1)}
        49:{1,2,5,6,7}:{(30,1),(38,1),(68,1),(95,1),(96,1)}
        50:{1,2,4,5}:{(31,1),(32,1),(34,1),(61,1),(69,1),(74,1)}
        51:{1,4,5,7}:{(31,1),(33,1),(35,1),(62,1),(71,1),(95,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(36,1),(63,1),(72,1),(96,1)}
        53:{3,4,6}:{(33,1),(37,1),(71,1),(72,1),(73,1),(77,1),(99,1),(109,1)}
        54:{1,2,3,5}:{(34,1),(39,1),(69,1),(74,1)}
        55:{1,2,5,7}:{(34,1),(35,1),(36,1),(40,1),(76,1)}
        56:{1,3,6}:{(35,1),(37,1),(71,1),(76,1),(99,1)}
        57:{2,3,6}:{(36,1),(37,1),(72,1),(76,1),(99,1)}
        58:{3,5,6}:{(37,1),(38,1),(41,1),(77,1)}
        59:{1,2,3,7}:{(39,1),(40,1),(93,1)}
        60:{4,5,7}:{(41,1),(77,1)}
        61:{1,2,4,6}:{(42,1),(43,1),(45,1),(50,1),(78,1),(79,1)}
        62:{1,4,7}:{(42,1),(44,1),(46,1),(110,1)}
        63:{2,4,7}:{(43,1),(44,1),(47,1),(110,1)}
        64:{3,4,6,7}:{(44,1),(48,1),(53,1),(80,1),(81,1),(82,1),(84,1),(102,1),(110,1)}
        65:{1,2,5,7}:{(45,1),(46,1),(47,1),(79,1),(83,1)}
        66:{1,3,6,7}:{(46,1),(48,1),(56,1),(80,1),(83,1),(102,1)}
        67:{2,3,6,7}:{(47,1),(48,1),(57,1),(81,1),(83,1),(102,1)}
        68:{3,5,6,7}:{(48,1),(49,1),(58,1),(82,1),(84,1)}
        69:{3,5}:{(50,1),(78,1),(85,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(52,1),(55,1),(79,1),(86,1),(87,1),(91,1),(103,1),(106,1),(110,1),(111,1)}
        71:{1,4,6}:{(51,1),(53,1),(56,1),(88,1)}
        72:{2,4,6}:{(52,1),(53,1),(57,1),(89,1)}
        73:{3,5,6}:{(53,1),(82,1),(88,1),(89,1),(90,1)}
        74:{1,2,4}:{(54,1),(85,1)}
        75:{1,2,3,5,7}:{(54,1),(55,1),(59,1),(86,1),(91,1),(92,1),(106,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{4,6}:{(58,1),(60,1)}
        78:{3,6}:{(61,1),(69,1),(93,1)}
        79:{1,2,4,7}:{(61,1),(62,1),(63,1),(65,1),(93,1)}
        80:{1,4,6,7}:{(62,1),(64,1),(66,1),(71,1),(95,1)}
        81:{2,4,6,7}:{(63,1),(64,1),(67,1),(72,1),(96,1)}
        82:{3,5,7}:{(64,1),(73,1),(95,1),(96,1),(97,1)}
        83:{1,2,6,7}:{(65,1),(66,1),(67,1),(76,1)}
        84:{4,6,7}:{(68,1),(77,1),(97,1)}
        85:{3,4}:{(69,1),(74,1)}
        86:{3,5,7}:{(69,1),(70,1),(93,1),(98,1),(99,1),(108,1)}
        87:{1,2,4,6}:{(70,1),(71,1),(72,1),(76,1),(99,1),(100,1),(109,1)}
        88:{1,5,6}:{(71,1),(73,1),(95,1)}
        89:{2,5,6}:{(72,1),(73,1),(96,1)}
        90:{4,5,6}:{(73,1),(77,1),(97,1),(109,1)}
        91:{1,2,4,7}:{(74,1),(75,1),(98,1),(101,1)}
        92:{1,2,3,6}:{(75,1),(76,1),(99,1),(101,1)}
        93:{3,7}:{(78,1),(79,1)}
        94:{1,2,4,6,7}:{(79,1),(80,1),(81,1),(83,1),(87,1),(102,1),(103,1),(110,1)}
        95:{1,5,7}:{(80,1),(82,1),(88,1)}
        96:{2,5,7}:{(81,1),(82,1),(89,1)}
        97:{4,5,7}:{(82,1),(84,1),(90,1),(110,1)}
        98:{3,4,7}:{(85,1),(86,1),(91,1),(104,1),(110,1)}
        99:{3,6}:{(86,1),(87,1)}
       100:{1,2,5,6}:{(87,1),(88,1),(89,1),(103,1),(105,1),(106,1)}
       101:{1,2,4,6}:{(91,1),(92,1),(104,1),(106,1)}
       102:{3,6,7}:{(93,1),(94,1),(99,1),(107,1)}
       103:{1,2,5,7}:{(94,1),(95,1),(96,1),(100,1),(107,1)}
       104:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       105:{3,5,6}:{(99,1),(100,1),(107,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(108,1)}
       107:{3,5,7}:{(102,1),(103,1),(105,1),(110,1)}
       108:{3,5}:{(104,1),(106,1),(111,1)}
       109:{4,6}:{(105,1),(110,1),(111,1)}
       110:{4,7}:{(107,1),(109,1)}
       111:{4,5}:{(108,1),(109,1)}

 373 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(11,1),(27,1),(31,1),(70,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(91,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(45,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(11,1),(22,1),(23,1),(26,1),(27,1),(35,1),(64,1),(71,1),(106,1)}
         4:{3,4,7}:{(1,1),(6,1),(10,1),(64,1),(113,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1)}
         6:{3,5,7}:{(3,1),(4,1),(16,1),(21,1),(92,1),(125,1)}
         7:{1,2,4,6}:{(3,1),(16,1),(17,1),(38,1),(39,1),(45,1),(48,1)}
         8:{1,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(79,1),(85,1),(125,1),(130,1)}
         9:{2,3,4,7}:{(4,1),(15,1),(18,1),(20,1),(79,1),(86,1),(125,1),(131,1)}
        10:{3,4,6}:{(4,1),(5,1),(16,1),(21,1),(48,1)}
        11:{1,2,5}:{(5,1),(21,1)}
        12:{3,4,5,7}:{(6,1),(22,1),(23,1),(24,1),(35,1),(55,1),(56,1),(64,1),(72,1),(73,1),(107,1),(108,1),(135,1),(138,1)}
        13:{1,2,4,6,7}:{(7,1),(25,1),(26,1),(53,1),(54,1),(61,1),(64,1),(106,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(22,1),(27,1),(28,1),(33,1),(56,1),(114,1),(139,1)}
        15:{2,3,5,7}:{(6,1),(9,1),(23,1),(27,1),(29,1),(34,1),(56,1),(115,1),(140,1)}
        16:{3,6}:{(6,1),(7,1)}
        17:{1,2,5,6}:{(7,1),(11,1),(26,1),(30,1),(58,1),(59,1)}
        18:{1,2,4,7}:{(8,1),(9,1),(27,1),(31,1),(32,1),(142,1)}
        19:{1,3,4,6}:{(8,1),(10,1),(28,1),(32,1),(33,1),(68,1),(102,1),(110,1),(113,1)}
        20:{2,3,4,6}:{(9,1),(10,1),(29,1),(32,1),(34,1),(69,1),(102,1),(110,1),(113,1)}
        21:{3,5}:{(10,1),(11,1),(35,1)}
        22:{1,4,5,7}:{(12,1),(14,1),(38,1),(51,1),(76,1),(85,1),(94,1),(127,1)}
        23:{2,4,5,7}:{(12,1),(15,1),(39,1),(52,1),(77,1),(86,1),(93,1),(126,1)}
        24:{3,4,6}:{(12,1),(16,1),(38,1),(39,1),(40,1),(48,1),(80,1),(122,1)}
        25:{3,6,7}:{(13,1),(16,1),(43,1),(125,1)}
        26:{1,2,5,7}:{(13,1),(17,1),(43,1),(76,1),(77,1)}
        27:{1,2,5,7}:{(14,1),(15,1),(18,1),(45,1),(50,1),(132,1),(145,1)}
        28:{1,3,6}:{(14,1),(16,1),(38,1),(45,1),(80,1)}
        29:{2,3,6}:{(15,1),(16,1),(39,1),(45,1),(80,1)}
        30:{3,5,6}:{(16,1),(17,1),(21,1),(43,1),(48,1)}
        31:{1,2,3,7}:{(18,1),(49,1),(125,1),(145,1),(146,1)}
        32:{1,2,4,6}:{(18,1),(19,1),(20,1),(45,1),(49,1),(50,1),(91,1)}
        33:{1,3,5}:{(19,1),(21,1),(50,1),(51,1),(92,1),(121,1)}
        34:{2,3,5}:{(20,1),(21,1),(50,1),(52,1),(92,1),(121,1)}
        35:{4,5}:{(21,1),(48,1)}
        36:{3,4,6,7}:{(24,1),(25,1),(53,1),(54,1),(55,1),(64,1),(97,1),(98,1),(107,1),(108,1),(133,1),(134,1),(135,1)}
        37:{1,2,4,5,7}:{(22,1),(23,1),(27,1),(56,1),(57,1),(65,1),(71,1),(99,1),(106,1),(109,1),(135,1),(138,1)}
        38:{1,4,6}:{(22,1),(24,1),(28,1),(58,1)}
        39:{2,4,6}:{(23,1),(24,1),(29,1),(59,1)}
        40:{3,5,6}:{(24,1),(55,1),(58,1),(59,1),(60,1)}
        41:{1,3,6,7}:{(25,1),(28,1),(53,1),(61,1),(62,1),(98,1),(133,1),(139,1)}
        42:{2,3,6,7}:{(25,1),(29,1),(54,1),(61,1),(63,1),(98,1),(134,1),(140,1)}
        43:{3,5,7}:{(25,1),(26,1),(30,1),(64,1)}
        44:{1,2,3,5,7}:{(27,1),(31,1),(56,1),(65,1),(66,1),(70,1),(109,1)}
        45:{1,2,6}:{(27,1),(28,1),(29,1)}
        46:{1,3,5,6}:{(28,1),(30,1),(33,1),(58,1),(62,1),(67,1),(68,1),(103,1),(104,1),(110,1)}
        47:{2,3,5,6}:{(29,1),(30,1),(34,1),(59,1),(63,1),(67,1),(69,1),(103,1),(105,1),(110,1)}
        48:{4,6}:{(30,1),(35,1),(64,1)}
        49:{1,2,3,6}:{(31,1),(32,1),(70,1),(110,1),(141,1)}
        50:{1,2,5}:{(32,1),(33,1),(34,1)}
        51:{1,4,5}:{(33,1),(35,1),(68,1),(72,1),(138,1)}
        52:{2,4,5}:{(34,1),(35,1),(69,1),(73,1),(138,1)}
        53:{1,4,6,7}:{(36,1),(38,1),(41,1),(76,1),(85,1),(127,1),(144,1)}
        54:{2,4,6,7}:{(36,1),(39,1),(42,1),(77,1),(86,1),(126,1),(143,1)}
        55:{3,5,7}:{(36,1),(40,1),(76,1),(77,1),(78,1)}
        56:{3,5,7}:{(37,1),(79,1),(80,1),(92,1),(121,1),(125,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(39,1),(45,1),(80,1),(81,1),(122,1)}
        58:{1,5,6}:{(38,1),(40,1),(76,1)}
        59:{2,5,6}:{(39,1),(40,1),(77,1)}
        60:{4,5,6}:{(40,1),(48,1),(78,1),(122,1)}
        61:{1,2,6,7}:{(41,1),(42,1),(45,1),(84,1),(143,1),(144,1),(145,1)}
        62:{1,3,5,7}:{(41,1),(43,1),(46,1),(76,1),(84,1),(85,1),(118,1),(119,1),(125,1)}
        63:{2,3,5,7}:{(42,1),(43,1),(47,1),(77,1),(84,1),(86,1),(118,1),(120,1),(125,1)}
        64:{4,7}:{(43,1),(48,1)}
        65:{1,2,4,7}:{(44,1),(79,1),(87,1),(91,1)}
        66:{1,2,3,6}:{(44,1),(45,1),(80,1),(87,1)}
        67:{1,2,5,6}:{(45,1),(46,1),(47,1),(50,1),(84,1),(88,1),(123,1),(124,1)}
        68:{1,4,6}:{(46,1),(48,1),(51,1),(85,1),(89,1),(122,1)}
        69:{2,4,6}:{(47,1),(48,1),(52,1),(86,1),(90,1),(122,1)}
        70:{1,2,3,5}:{(49,1),(50,1),(91,1),(92,1),(132,1),(146,1)}
        71:{1,2,4,5}:{(50,1),(51,1),(52,1),(88,1),(91,1),(92,1),(93,1),(94,1),(132,1)}
        72:{3,4,5}:{(51,1),(89,1),(92,1),(93,1)}
        73:{3,4,5}:{(52,1),(90,1),(92,1),(94,1)}
        74:{3,5,6,7}:{(55,1),(95,1),(96,1),(97,1),(133,1),(134,1)}
        75:{1,2,4,6,7}:{(53,1),(54,1),(57,1),(61,1),(98,1),(99,1),(106,1),(135,1)}
        76:{1,5,7}:{(53,1),(55,1),(58,1)}
        77:{2,5,7}:{(54,1),(55,1),(59,1)}
        78:{4,5,7}:{(55,1),(60,1),(64,1),(97,1),(135,1)}
        79:{3,4,7}:{(56,1),(65,1),(102,1),(113,1),(135,1)}
        80:{3,6}:{(56,1),(57,1)}
        81:{1,2,5,6}:{(57,1),(58,1),(59,1),(99,1),(103,1),(109,1)}
        82:{1,4,5,6}:{(58,1),(60,1),(68,1),(100,1),(104,1)}
        83:{2,4,5,6}:{(59,1),(60,1),(69,1),(101,1),(105,1)}
        84:{1,2,5,7}:{(61,1),(62,1),(63,1),(67,1),(106,1),(136,1),(137,1)}
        85:{1,4,7}:{(62,1),(64,1),(68,1),(107,1),(135,1)}
        86:{2,4,7}:{(63,1),(64,1),(69,1),(108,1),(135,1)}
        87:{1,2,4,6}:{(65,1),(66,1),(102,1),(109,1)}
        88:{1,2,4,6}:{(67,1),(68,1),(69,1),(71,1),(106,1),(110,1),(111,1),(112,1),(141,1)}
        89:{3,4,6}:{(68,1),(72,1),(104,1),(107,1),(110,1),(111,1)}
        90:{3,4,6}:{(69,1),(73,1),(105,1),(108,1),(110,1),(112,1)}
        91:{1,2,4}:{(70,1),(113,1)}
        92:{3,5}:{(71,1),(110,1),(113,1)}
        93:{2,4,5}:{(72,1),(111,1),(115,1)}
        94:{1,4,5}:{(73,1),(112,1),(114,1)}
        95:{1,5,6,7}:{(74,1),(76,1),(116,1),(144,1)}
        96:{2,5,6,7}:{(74,1),(77,1),(117,1),(143,1)}
        97:{4,6,7}:{(74,1),(78,1)}
        98:{3,6,7}:{(75,1),(80,1),(118,1),(125,1)}
        99:{1,2,5,7}:{(75,1),(76,1),(77,1),(81,1),(118,1)}
       100:{1,4,5,7}:{(76,1),(78,1),(82,1),(85,1),(116,1),(119,1)}
       101:{2,4,5,7}:{(77,1),(78,1),(83,1),(86,1),(117,1),(120,1)}
       102:{3,4,6}:{(79,1),(80,1),(87,1),(121,1),(122,1)}
       103:{3,5,6}:{(80,1),(81,1),(118,1),(121,1),(122,1)}
       104:{3,5,6}:{(82,1),(89,1),(119,1),(123,1)}
       105:{3,5,6}:{(83,1),(90,1),(120,1),(124,1)}
       106:{1,2,4,7}:{(84,1),(85,1),(86,1),(88,1),(125,1),(126,1),(127,1),(145,1)}
       107:{3,4,7}:{(85,1),(89,1),(119,1),(125,1),(126,1)}
       108:{3,4,7}:{(86,1),(90,1),(120,1),(125,1),(127,1)}
       109:{1,2,5}:{(87,1),(121,1)}
       110:{3,6}:{(88,1),(92,1),(125,1)}
       111:{2,4,6}:{(89,1),(93,1),(123,1),(126,1),(129,1)}
       112:{1,4,6}:{(90,1),(94,1),(124,1),(127,1),(128,1)}
       113:{3,4}:{(91,1),(92,1)}
       114:{1,3,5}:{(92,1),(94,1),(128,1),(130,1),(132,1)}
       115:{2,3,5}:{(92,1),(93,1),(129,1),(131,1),(132,1)}
       116:{1,4,6,7}:{(95,1),(97,1),(100,1),(133,1)}
       117:{2,4,6,7}:{(96,1),(97,1),(101,1),(134,1)}
       118:{3,5,7}:{(98,1),(99,1),(103,1),(135,1)}
       119:{3,5,7}:{(100,1),(104,1),(107,1),(133,1),(136,1)}
       120:{3,5,7}:{(101,1),(105,1),(108,1),(134,1),(137,1)}
       121:{3,5}:{(102,1),(109,1),(138,1)}
       122:{4,6}:{(103,1),(135,1),(138,1)}
       123:{2,5,6}:{(104,1),(111,1),(136,1)}
       124:{1,5,6}:{(105,1),(112,1),(137,1)}
       125:{3,7}:{(106,1),(110,1)}
       126:{2,4,7}:{(107,1),(111,1),(136,1),(140,1)}
       127:{1,4,7}:{(108,1),(112,1),(137,1),(139,1)}
       128:{1,3,6}:{(110,1),(112,1),(114,1),(139,1),(141,1)}
       129:{2,3,6}:{(110,1),(111,1),(115,1),(140,1),(141,1)}
       130:{1,3,4}:{(113,1),(114,1),(142,1)}
       131:{2,3,4}:{(113,1),(115,1),(142,1)}
       132:{1,2,5}:{(114,1),(115,1),(141,1),(142,1)}
       133:{3,6,7}:{(116,1),(119,1),(143,1)}
       134:{3,6,7}:{(117,1),(120,1),(144,1)}
       135:{4,7}:{(118,1),(122,1)}
       136:{2,5,7}:{(119,1),(123,1),(126,1),(143,1)}
       137:{1,5,7}:{(120,1),(124,1),(127,1),(144,1)}
       138:{4,5}:{(121,1),(122,1)}
       139:{1,3,7}:{(125,1),(127,1),(128,1),(145,1)}
       140:{2,3,7}:{(125,1),(126,1),(129,1),(145,1)}
       141:{1,2,6}:{(128,1),(129,1),(132,1),(145,1)}
       142:{1,2,4}:{(130,1),(131,1),(132,1),(146,1)}
       143:{2,6,7}:{(133,1),(136,1)}
       144:{1,6,7}:{(134,1),(137,1)}
       145:{1,2,7}:{(139,1),(140,1),(141,1)}
       146:{1,2,3}:{(142,1)}

 374 :   0:{1,2,3,6,7}:{(1,1),(2,1),(26,1),(56,1),(57,1),(61,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(6,1),(15,1),(68,1),(69,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(43,1),(48,1),(75,1),(76,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(11,1),(22,1),(26,1)}
         4:{1,2,5,7}:{(1,1),(7,1),(8,1),(85,1),(86,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(10,1),(26,1),(29,1),(59,1),(60,1),(61,1),(65,1),(66,1)}
         6:{1,2,4,7}:{(2,1),(10,1),(11,1),(91,1),(92,1)}
         7:{3,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{1,2,5,6}:{(4,1),(12,1),(15,1),(70,1),(71,1)}
         9:{1,2,4,5,7}:{(4,1),(6,1),(13,1),(15,1),(16,1),(17,1),(36,1),(37,1),(43,1)}
        10:{1,2,4,6}:{(5,1),(6,1),(17,1),(18,1),(78,1),(79,1)}
        11:{3,4,7}:{(6,1),(16,1),(18,1)}
        12:{3,5,6}:{(7,1),(8,1),(22,1),(26,1)}
        13:{4,5,7}:{(7,1),(22,1)}
        14:{1,2,5,6,7}:{(8,1),(21,1),(24,1),(85,1),(86,1)}
        15:{1,2,4,6}:{(8,1),(9,1),(22,1),(26,1),(52,1),(53,1),(61,1)}
        16:{3,5,7}:{(9,1),(11,1),(26,1),(29,1)}
        17:{1,2,4,5}:{(10,1),(29,1),(63,1),(64,1),(65,1)}
        18:{3,4,6}:{(10,1),(11,1),(26,1),(29,1)}
        19:{1,3,4,7}:{(11,1),(27,1),(30,1),(32,1),(90,1),(91,1),(109,1)}
        20:{2,3,4,7}:{(11,1),(28,1),(31,1),(32,1),(90,1),(92,1),(109,1)}
        21:{3,5,6,7}:{(12,1),(14,1),(33,1),(39,1),(67,1)}
        22:{4,6}:{(12,1),(13,1)}
        23:{3,4,5,7}:{(13,1),(16,1),(35,1),(36,1),(37,1),(44,1),(67,1),(73,1),(74,1),(110,1),(111,1)}
        24:{1,2,4,6,7}:{(14,1),(15,1),(33,1),(38,1),(39,1),(68,1),(69,1),(77,1)}
        25:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(38,1),(40,1),(70,1),(71,1),(78,1),(79,1),(80,1)}
        26:{3,6}:{(15,1),(16,1)}
        27:{1,3,5,7}:{(16,1),(19,1),(36,1),(41,1),(43,1),(45,1),(73,1)}
        28:{2,3,5,7}:{(16,1),(20,1),(37,1),(42,1),(43,1),(46,1),(73,1)}
        29:{3,5}:{(17,1),(18,1)}
        30:{1,3,4,6}:{(18,1),(19,1),(41,1),(45,1),(47,1),(78,1),(101,1),(103,1),(105,1)}
        31:{2,3,4,6}:{(18,1),(20,1),(42,1),(46,1),(47,1),(79,1),(101,1),(103,1),(105,1)}
        32:{1,2,4,7}:{(19,1),(20,1),(43,1),(47,1),(48,1)}
        33:{4,6,7}:{(21,1),(22,1),(49,1)}
        34:{4,5,6}:{(22,1),(49,1),(51,1),(107,1)}
        35:{3,4,6}:{(22,1),(23,1),(26,1),(51,1),(52,1),(53,1),(89,1),(107,1)}
        36:{1,4,5,7}:{(23,1),(27,1),(52,1),(63,1),(85,1),(91,1)}
        37:{2,4,5,7}:{(23,1),(28,1),(53,1),(64,1),(86,1),(92,1)}
        38:{1,2,4,5,7}:{(24,1),(25,1),(49,1),(55,1),(85,1),(86,1),(91,1),(92,1),(93,1)}
        39:{3,6,7}:{(24,1),(26,1),(55,1)}
        40:{3,5,6}:{(25,1),(26,1),(29,1),(55,1),(58,1)}
        41:{1,3,6}:{(26,1),(27,1),(52,1),(61,1),(89,1)}
        42:{2,3,6}:{(26,1),(28,1),(53,1),(61,1),(89,1)}
        43:{1,2,5,7}:{(27,1),(28,1),(32,1),(61,1),(65,1)}
        44:{3,4,5}:{(29,1),(58,1),(63,1),(64,1),(96,1)}
        45:{1,3,5}:{(29,1),(30,1),(63,1),(65,1),(96,1),(108,1)}
        46:{2,3,5}:{(29,1),(31,1),(64,1),(65,1),(96,1),(108,1)}
        47:{1,2,4,6}:{(30,1),(31,1),(32,1),(61,1),(65,1),(66,1),(97,1)}
        48:{1,2,3,7}:{(32,1),(66,1),(109,1)}
        49:{4,5,7}:{(33,1),(34,1),(67,1),(110,1)}
        50:{3,4,6,7}:{(33,1),(35,1),(39,1),(67,1),(68,1),(69,1),(74,1),(99,1),(110,1)}
        51:{3,5,6}:{(34,1),(35,1),(67,1),(70,1),(71,1)}
        52:{1,4,6}:{(35,1),(36,1),(41,1),(70,1)}
        53:{2,4,6}:{(35,1),(37,1),(42,1),(71,1)}
        54:{1,2,4,5,7}:{(36,1),(37,1),(43,1),(72,1),(73,1),(82,1),(83,1),(98,1),(102,1),(104,1),(110,1),(111,1)}
        55:{3,5,7}:{(38,1),(39,1),(40,1),(74,1)}
        56:{1,3,6,7}:{(39,1),(41,1),(68,1),(75,1),(77,1),(99,1)}
        57:{2,3,6,7}:{(39,1),(42,1),(69,1),(76,1),(77,1),(99,1)}
        58:{3,4,6}:{(40,1),(44,1),(74,1),(78,1),(79,1),(103,1)}
        59:{1,3,5,6}:{(40,1),(41,1),(45,1),(70,1),(75,1),(78,1),(80,1),(100,1),(103,1)}
        60:{2,3,5,6}:{(40,1),(42,1),(46,1),(71,1),(76,1),(79,1),(80,1),(100,1),(103,1)}
        61:{1,2,6}:{(41,1),(42,1),(43,1)}
        62:{1,2,3,5,7}:{(43,1),(48,1),(73,1),(81,1),(82,1),(84,1),(104,1)}
        63:{1,4,5}:{(44,1),(45,1),(78,1),(111,1)}
        64:{2,4,5}:{(44,1),(46,1),(79,1),(111,1)}
        65:{1,2,5}:{(45,1),(46,1),(47,1)}
        66:{1,2,3,6}:{(47,1),(48,1),(84,1),(103,1)}
        67:{3,5,7}:{(49,1),(50,1),(51,1),(85,1),(86,1)}
        68:{1,4,6,7}:{(50,1),(52,1),(56,1),(85,1),(91,1)}
        69:{2,4,6,7}:{(50,1),(53,1),(57,1),(86,1),(92,1)}
        70:{1,5,6}:{(51,1),(52,1),(85,1)}
        71:{2,5,6}:{(51,1),(53,1),(86,1)}
        72:{1,2,4,6}:{(52,1),(53,1),(54,1),(61,1),(88,1),(89,1),(107,1)}
        73:{3,5,7}:{(54,1),(89,1),(90,1),(96,1),(108,1),(109,1)}
        74:{3,4,7}:{(55,1),(58,1),(91,1),(92,1),(109,1)}
        75:{1,3,5,7}:{(55,1),(56,1),(59,1),(85,1),(91,1),(93,1),(106,1),(109,1)}
        76:{2,3,5,7}:{(55,1),(57,1),(60,1),(86,1),(92,1),(93,1),(106,1),(109,1)}
        77:{1,2,6,7}:{(56,1),(57,1),(61,1),(93,1)}
        78:{1,4,6}:{(58,1),(59,1),(63,1),(91,1),(107,1)}
        79:{2,4,6}:{(58,1),(60,1),(64,1),(92,1),(107,1)}
        80:{1,2,5,6}:{(59,1),(60,1),(61,1),(65,1),(93,1),(94,1)}
        81:{1,2,3,6}:{(61,1),(62,1),(89,1),(95,1)}
        82:{1,2,4,7}:{(62,1),(90,1),(95,1),(97,1)}
        83:{1,2,4,5}:{(63,1),(64,1),(65,1),(94,1),(96,1),(97,1)}
        84:{1,2,3,5}:{(65,1),(66,1),(96,1),(97,1)}
        85:{1,5,7}:{(67,1),(68,1),(70,1)}
        86:{2,5,7}:{(67,1),(69,1),(71,1)}
        87:{1,2,4,6,7}:{(68,1),(69,1),(72,1),(77,1),(98,1),(99,1),(102,1),(110,1)}
        88:{1,2,5,6}:{(70,1),(71,1),(72,1),(98,1),(100,1),(104,1)}
        89:{3,6}:{(72,1),(73,1)}
        90:{3,4,7}:{(73,1),(82,1),(101,1),(105,1),(110,1)}
        91:{1,4,7}:{(74,1),(75,1),(78,1),(110,1)}
        92:{2,4,7}:{(74,1),(76,1),(79,1),(110,1)}
        93:{1,2,5,7}:{(75,1),(76,1),(77,1),(80,1),(102,1)}
        94:{1,2,4,6}:{(78,1),(79,1),(80,1),(83,1),(102,1),(103,1)}
        95:{1,2,4,6}:{(81,1),(82,1),(101,1),(104,1)}
        96:{3,5}:{(83,1),(103,1),(105,1)}
        97:{1,2,4}:{(84,1),(105,1)}
        98:{1,2,5,7}:{(85,1),(86,1),(87,1),(88,1),(106,1)}
        99:{3,6,7}:{(87,1),(89,1),(106,1),(109,1)}
       100:{3,5,6}:{(88,1),(89,1),(106,1),(107,1),(108,1)}
       101:{3,4,6}:{(89,1),(90,1),(95,1),(107,1),(108,1)}
       102:{1,2,4,7}:{(91,1),(92,1),(93,1),(94,1),(109,1)}
       103:{3,6}:{(94,1),(96,1),(109,1)}
       104:{1,2,5}:{(95,1),(108,1)}
       105:{3,4}:{(96,1),(97,1)}
       106:{3,5,7}:{(98,1),(99,1),(100,1),(110,1)}
       107:{4,6}:{(100,1),(110,1),(111,1)}
       108:{3,5}:{(101,1),(104,1),(111,1)}
       109:{3,7}:{(102,1),(103,1)}
       110:{4,7}:{(106,1),(107,1)}
       111:{4,5}:{(107,1),(108,1)}

 375 :   0:{1,3,5}:{(4,1),(5,1),(6,1),(11,1),(29,1),(34,1),(74,1)}
         1:{2,3,5}:{(4,1),(7,1),(8,1),(9,1),(29,1),(38,1),(74,1)}
         2:{2,4,5}:{(7,1),(9,1),(10,1),(38,1),(84,1)}
         3:{1,4,5}:{(5,1),(11,1),(12,1),(34,1),(79,1)}
         4:{1,2,5}:{(0,1),(1,1),(13,1),(14,1),(21,1),(25,1)}
         5:{1,4}:{(0,1),(15,1),(100,1)}
         6:{1,3,6}:{(0,1),(14,1),(16,1),(17,1),(26,1),(50,1),(151,1)}
         7:{2,4}:{(1,1),(18,1),(100,1)}
         8:{2,3,6}:{(1,1),(14,1),(19,1),(20,1),(22,1),(50,1),(152,1)}
         9:{3,5}:{(2,1),(18,1),(21,1),(22,1)}
        10:{2,4,6}:{(2,1),(22,1),(23,1),(24,1),(63,1)}
        11:{3,5}:{(3,1),(15,1),(25,1),(26,1)}
        12:{1,4,6}:{(3,1),(26,1),(27,1),(28,1),(68,1)}
        13:{1,2,4}:{(4,1),(5,1),(7,1),(29,1),(32,1),(36,1),(71,1)}
        14:{1,2,6}:{(4,1),(6,1),(8,1),(31,1),(40,1),(44,1),(153,1)}
        15:{3,4}:{(5,1),(11,1),(29,1),(32,1)}
        16:{1,4,6}:{(5,1),(6,1),(33,1),(34,1),(35,1),(81,1),(134,1),(149,1)}
        17:{1,3,7}:{(6,1),(31,1),(35,1),(46,1),(75,1)}
        18:{3,4}:{(7,1),(9,1),(29,1),(36,1)}
        19:{2,4,6}:{(7,1),(8,1),(37,1),(38,1),(39,1),(86,1),(131,1),(148,1)}
        20:{2,3,7}:{(8,1),(31,1),(39,1),(42,1),(75,1)}
        21:{1,5}:{(9,1),(36,1),(40,1)}
        22:{3,6}:{(9,1),(10,1),(40,1),(42,1)}
        23:{2,5,6}:{(10,1),(38,1),(41,1),(43,1),(86,1),(131,1)}
        24:{2,4,7}:{(10,1),(42,1),(43,1),(89,1)}
        25:{2,5}:{(11,1),(32,1),(44,1)}
        26:{3,6}:{(11,1),(12,1),(44,1),(46,1)}
        27:{1,5,6}:{(12,1),(34,1),(45,1),(47,1),(81,1),(134,1)}
        28:{1,4,7}:{(12,1),(46,1),(47,1),(93,1)}
        29:{3}:{(13,1)}
        30:{1,2,4,6}:{(13,1),(14,1),(16,1),(19,1),(50,1),(51,1),(52,1),(53,1),(57,1),(95,1),(100,1),(102,1),(137,1),(140,1)}
        31:{1,2,7}:{(14,1),(17,1),(20,1),(62,1),(67,1)}
        32:{2,4}:{(15,1),(25,1),(49,1)}
        33:{3,4,6}:{(15,1),(16,1),(26,1),(50,1),(53,1),(54,1),(55,1),(68,1),(100,1),(106,1),(115,1),(139,1),(140,1)}
        34:{1,5}:{(16,1),(54,1)}
        35:{1,4,7}:{(16,1),(17,1),(55,1),(56,1),(146,1)}
        36:{1,4}:{(18,1),(21,1),(48,1)}
        37:{3,4,6}:{(18,1),(19,1),(22,1),(50,1),(57,1),(58,1),(59,1),(63,1),(100,1),(110,1),(111,1),(138,1),(140,1)}
        38:{2,5}:{(19,1),(58,1)}
        39:{2,4,7}:{(19,1),(20,1),(59,1),(60,1),(145,1)}
        40:{1,6}:{(21,1),(22,1),(62,1)}
        41:{3,5,6}:{(22,1),(23,1),(58,1),(61,1),(63,1),(64,1),(110,1),(111,1),(144,1)}
        42:{3,7}:{(22,1),(24,1),(62,1)}
        43:{2,5,7}:{(23,1),(24,1),(64,1),(65,1),(145,1)}
        44:{2,6}:{(25,1),(26,1),(67,1)}
        45:{3,5,6}:{(26,1),(27,1),(54,1),(66,1),(68,1),(69,1),(106,1),(115,1),(142,1)}
        46:{3,7}:{(26,1),(28,1),(67,1)}
        47:{1,5,7}:{(27,1),(28,1),(69,1),(70,1),(146,1)}
        48:{1,3}:{(29,1),(36,1),(71,1)}
        49:{2,3}:{(29,1),(32,1),(71,1)}
        50:{3,6}:{(29,1),(30,1),(74,1),(75,1),(147,1)}
        51:{1,2,5}:{(30,1),(34,1),(38,1),(74,1),(77,1),(82,1),(150,1)}
        52:{1,2,4,7}:{(30,1),(31,1),(35,1),(39,1),(75,1),(76,1),(78,1),(83,1),(120,1),(123,1)}
        53:{2,4,6}:{(32,1),(33,1),(44,1),(73,1),(77,1),(78,1),(122,1),(126,1)}
        54:{3,5}:{(33,1),(34,1),(77,1),(79,1),(150,1)}
        55:{3,4,7}:{(33,1),(35,1),(46,1),(75,1),(78,1),(80,1),(93,1),(123,1),(135,1)}
        56:{1,5,7}:{(34,1),(35,1),(80,1),(81,1)}
        57:{1,4,6}:{(36,1),(37,1),(40,1),(72,1),(82,1),(83,1),(121,1),(129,1)}
        58:{3,5}:{(37,1),(38,1),(82,1),(84,1),(150,1)}
        59:{3,4,7}:{(37,1),(39,1),(42,1),(75,1),(83,1),(85,1),(89,1),(123,1),(132,1)}
        60:{2,5,7}:{(38,1),(39,1),(85,1),(86,1)}
        61:{1,5,6}:{(40,1),(41,1),(82,1),(87,1),(88,1),(129,1)}
        62:{1,7}:{(40,1),(42,1)}
        63:{4,6}:{(41,1),(84,1),(89,1)}
        64:{3,5,7}:{(41,1),(42,1),(43,1),(88,1),(89,1),(90,1),(132,1),(133,1)}
        65:{2,6,7}:{(43,1),(86,1),(90,1)}
        66:{2,5,6}:{(44,1),(45,1),(77,1),(91,1),(92,1),(126,1)}
        67:{2,7}:{(44,1),(46,1)}
        68:{4,6}:{(45,1),(79,1),(93,1)}
        69:{3,5,7}:{(45,1),(46,1),(47,1),(92,1),(93,1),(94,1),(135,1),(136,1)}
        70:{1,6,7}:{(47,1),(81,1),(94,1)}
        71:{1,2}:{(48,1),(49,1)}
        72:{1,3,6}:{(48,1),(50,1),(57,1),(95,1),(96,1),(97,1),(111,1)}
        73:{2,3,6}:{(49,1),(50,1),(53,1),(95,1),(98,1),(99,1),(115,1)}
        74:{3,5}:{(50,1),(51,1),(100,1)}
        75:{3,7}:{(50,1),(52,1)}
        76:{1,2,5,7}:{(51,1),(52,1),(56,1),(60,1),(101,1),(102,1),(104,1),(108,1)}
        77:{2,5}:{(53,1),(54,1)}
        78:{2,4,7}:{(53,1),(55,1),(67,1),(99,1),(104,1)}
        79:{4,5}:{(54,1),(68,1),(100,1)}
        80:{3,5,7}:{(54,1),(55,1),(56,1),(104,1),(105,1),(106,1)}
        81:{1,6}:{(56,1),(106,1)}
        82:{1,5}:{(57,1),(58,1)}
        83:{1,4,7}:{(57,1),(59,1),(62,1),(97,1),(108,1)}
        84:{4,5}:{(58,1),(63,1),(100,1)}
        85:{3,5,7}:{(58,1),(59,1),(60,1),(108,1),(109,1),(110,1)}
        86:{2,6}:{(60,1),(110,1)}
        87:{1,4,6}:{(61,1),(63,1),(107,1),(111,1),(112,1)}
        88:{1,5,7}:{(61,1),(62,1),(64,1),(112,1),(113,1)}
        89:{4,7}:{(63,1),(64,1)}
        90:{3,6,7}:{(64,1),(65,1),(110,1),(113,1),(114,1)}
        91:{2,4,6}:{(66,1),(68,1),(103,1),(115,1),(116,1)}
        92:{2,5,7}:{(66,1),(67,1),(69,1),(116,1),(117,1)}
        93:{4,7}:{(68,1),(69,1)}
        94:{3,6,7}:{(69,1),(70,1),(106,1),(117,1),(118,1)}
        95:{1,2,6}:{(71,1),(72,1),(73,1),(119,1),(120,1),(131,1),(134,1)}
        96:{1,3,5}:{(72,1),(74,1),(82,1),(119,1),(121,1),(128,1),(147,1)}
        97:{1,3,7}:{(72,1),(75,1),(83,1),(120,1),(132,1)}
        98:{2,3,5}:{(73,1),(74,1),(77,1),(119,1),(122,1),(125,1),(147,1)}
        99:{2,3,7}:{(73,1),(75,1),(78,1),(120,1),(135,1)}
       100:{4}:{(74,1)}
       101:{3,5,7}:{(74,1),(75,1),(76,1),(123,1),(124,1),(150,1)}
       102:{1,2,6}:{(76,1),(81,1),(86,1),(124,1),(126,1),(129,1)}
       103:{2,4,5}:{(77,1),(79,1),(91,1),(122,1),(125,1)}
       104:{2,5,7}:{(77,1),(78,1),(80,1),(126,1)}
       105:{4,5,7}:{(79,1),(80,1),(93,1),(123,1),(127,1),(136,1),(150,1)}
       106:{3,6}:{(80,1),(81,1),(126,1),(127,1)}
       107:{1,4,5}:{(82,1),(84,1),(87,1),(121,1),(128,1)}
       108:{1,5,7}:{(82,1),(83,1),(85,1),(129,1)}
       109:{4,5,7}:{(84,1),(85,1),(89,1),(123,1),(130,1),(133,1),(150,1)}
       110:{3,6}:{(85,1),(86,1),(129,1),(130,1)}
       111:{3,6}:{(87,1),(128,1),(131,1),(132,1)}
       112:{1,4,7}:{(87,1),(88,1),(89,1),(132,1)}
       113:{1,6,7}:{(88,1),(90,1),(129,1)}
       114:{4,6,7}:{(89,1),(90,1),(130,1),(133,1)}
       115:{3,6}:{(91,1),(125,1),(134,1),(135,1)}
       116:{2,4,7}:{(91,1),(92,1),(93,1),(135,1)}
       117:{2,6,7}:{(92,1),(94,1),(126,1)}
       118:{4,6,7}:{(93,1),(94,1),(127,1),(136,1)}
       119:{1,2,5}:{(95,1),(96,1),(98,1),(137,1),(141,1),(143,1)}
       120:{1,2,7}:{(95,1),(97,1),(99,1),(145,1),(146,1)}
       121:{1,4}:{(96,1),(100,1),(138,1)}
       122:{2,4}:{(98,1),(100,1),(139,1)}
       123:{4,7}:{(100,1),(101,1),(140,1)}
       124:{3,6}:{(101,1),(102,1),(140,1)}
       125:{3,5}:{(103,1),(115,1),(139,1),(141,1)}
       126:{2,6}:{(104,1),(106,1)}
       127:{4,6}:{(105,1),(106,1),(142,1)}
       128:{3,5}:{(107,1),(111,1),(138,1),(143,1)}
       129:{1,6}:{(108,1),(110,1)}
       130:{4,6}:{(109,1),(110,1),(144,1)}
       131:{2,6}:{(111,1),(143,1),(145,1)}
       132:{3,7}:{(111,1),(112,1),(145,1)}
       133:{5,7}:{(114,1),(144,1)}
       134:{1,6}:{(115,1),(141,1),(146,1)}
       135:{3,7}:{(115,1),(116,1),(146,1)}
       136:{5,7}:{(118,1),(142,1)}
       137:{1,2,4}:{(119,1),(121,1),(122,1),(147,1),(148,1),(149,1),(153,1)}
       138:{3,4}:{(121,1),(128,1),(147,1),(148,1)}
       139:{3,4}:{(122,1),(125,1),(147,1),(149,1)}
       140:{4,6}:{(123,1),(124,1),(150,1)}
       141:{1,5}:{(125,1),(134,1),(149,1)}
       142:{5,6}:{(127,1),(136,1),(150,1)}
       143:{2,5}:{(128,1),(131,1),(148,1)}
       144:{5,6}:{(130,1),(133,1),(150,1)}
       145:{2,7}:{(131,1),(132,1)}
       146:{1,7}:{(134,1),(135,1)}
       147:{3}:{(137,1)}
       148:{2,4}:{(138,1),(143,1),(152,1)}
       149:{1,4}:{(139,1),(141,1),(151,1)}
       150:{5}:{(140,1)}
       151:{1,3}:{(147,1),(149,1),(153,1)}
       152:{2,3}:{(147,1),(148,1),(153,1)}
       153:{1,2}:{(151,1),(152,1)}

 376 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(12,1),(17,1),(33,1),(35,1),(37,1),(44,1),(63,1),(65,1),(68,1),(71,1),(101,1),(103,1)}
         1:{3,5,7}:{(0,1),(3,1),(6,1),(22,1),(81,1),(88,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(8,1),(19,1),(20,1),(23,1),(29,1),(82,1),(85,1),(115,1),(116,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(11,1),(30,1),(44,1),(95,1)}
         4:{1,3,5,7}:{(1,1),(9,1),(12,1),(13,1),(30,1),(33,1),(61,1),(98,1),(103,1),(104,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(12,1),(14,1),(30,1),(35,1),(61,1),(99,1),(101,1),(105,1)}
         6:{3,6}:{(1,1),(2,1)}
         7:{1,2,4,6,7}:{(2,1),(15,1),(17,1),(32,1),(34,1),(38,1),(44,1),(71,1),(134,1)}
         8:{1,2,5,6}:{(2,1),(16,1),(17,1),(33,1),(35,1),(64,1),(67,1)}
         9:{1,4,7}:{(3,1),(4,1),(19,1),(78,1),(109,1)}
        10:{2,4,7}:{(3,1),(5,1),(20,1),(78,1),(110,1)}
        11:{3,4,6}:{(3,1),(6,1),(19,1),(20,1),(22,1),(29,1),(45,1),(78,1)}
        12:{1,2,5,7}:{(4,1),(5,1),(18,1),(23,1),(47,1),(114,1),(117,1)}
        13:{1,3,6}:{(4,1),(6,1),(19,1),(23,1),(45,1),(116,1)}
        14:{2,3,6}:{(5,1),(6,1),(20,1),(23,1),(45,1),(115,1)}
        15:{3,6,7}:{(6,1),(7,1),(28,1),(88,1),(137,1)}
        16:{3,5,6}:{(6,1),(8,1),(22,1),(28,1),(29,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(28,1),(48,1),(50,1),(136,1)}
        18:{1,2,4,7}:{(9,1),(10,1),(12,1),(30,1),(31,1),(122,1)}
        19:{1,4,6}:{(9,1),(11,1),(13,1),(33,1)}
        20:{2,4,6}:{(10,1),(11,1),(14,1),(35,1)}
        21:{3,4,6,7}:{(11,1),(15,1),(32,1),(34,1),(36,1),(44,1),(60,1),(70,1),(73,1),(75,1),(94,1),(100,1),(102,1),(119,1)}
        22:{3,5}:{(11,1),(33,1),(35,1),(37,1)}
        23:{1,2,6}:{(12,1),(13,1),(14,1)}
        24:{1,3,6,7}:{(13,1),(15,1),(32,1),(38,1),(40,1),(60,1),(100,1),(104,1),(123,1)}
        25:{1,3,5,6}:{(13,1),(16,1),(33,1),(39,1),(40,1),(41,1),(61,1),(64,1),(66,1),(72,1),(93,1),(98,1),(100,1),(123,1),(132,1),(138,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(34,1),(38,1),(42,1),(60,1),(102,1),(105,1),(124,1)}
        27:{2,3,5,6}:{(14,1),(16,1),(35,1),(39,1),(42,1),(43,1),(61,1),(67,1),(69,1),(72,1),(93,1),(99,1),(102,1),(124,1),(133,1),(138,1)}
        28:{3,5,7}:{(15,1),(16,1),(17,1),(44,1),(138,1)}
        29:{4,6}:{(16,1),(37,1),(44,1)}
        30:{3,7}:{(18,1),(45,1),(130,1)}
        31:{1,2,4,6}:{(18,1),(19,1),(20,1),(23,1),(45,1),(47,1),(78,1)}
        32:{1,4,6,7}:{(19,1),(21,1),(24,1),(48,1),(56,1),(82,1),(92,1),(116,1),(127,1)}
        33:{1,5}:{(19,1),(22,1)}
        34:{2,4,6,7}:{(20,1),(21,1),(26,1),(50,1),(58,1),(85,1),(91,1),(115,1),(128,1)}
        35:{2,5}:{(20,1),(22,1)}
        36:{3,5,7}:{(21,1),(22,1),(48,1),(50,1),(52,1),(53,1),(126,1)}
        37:{4,5}:{(22,1),(29,1),(78,1)}
        38:{1,2,6,7}:{(23,1),(24,1),(26,1),(54,1),(115,1),(116,1),(117,1),(131,1)}
        39:{1,2,5,6}:{(23,1),(25,1),(27,1),(47,1),(54,1),(55,1),(84,1),(87,1),(114,1),(115,1),(116,1),(131,1),(136,1)}
        40:{1,3,5,7}:{(24,1),(25,1),(28,1),(48,1),(54,1),(56,1),(77,1),(83,1),(88,1)}
        41:{1,4,6}:{(25,1),(29,1),(49,1),(56,1),(57,1),(78,1),(107,1),(109,1),(139,1)}
        42:{2,3,5,7}:{(26,1),(27,1),(28,1),(50,1),(54,1),(58,1),(77,1),(86,1),(88,1)}
        43:{2,4,6}:{(27,1),(29,1),(51,1),(58,1),(59,1),(78,1),(107,1),(110,1),(139,1)}
        44:{4,7}:{(28,1),(29,1),(139,1)}
        45:{3,6}:{(30,1),(31,1),(61,1)}
        46:{1,2,4,6,7}:{(31,1),(32,1),(34,1),(38,1),(60,1),(62,1),(71,1),(94,1),(96,1)}
        47:{1,2,5}:{(31,1),(33,1),(35,1),(61,1)}
        48:{1,5,7}:{(32,1),(33,1),(36,1),(64,1),(132,1)}
        49:{1,4,5}:{(33,1),(37,1),(41,1),(66,1),(118,1),(132,1)}
        50:{2,5,7}:{(34,1),(35,1),(36,1),(67,1),(133,1)}
        51:{2,4,5}:{(35,1),(37,1),(43,1),(69,1),(118,1),(133,1)}
        52:{3,5,6}:{(36,1),(64,1),(67,1),(70,1),(100,1),(102,1)}
        53:{4,5,7}:{(36,1),(37,1),(44,1),(70,1),(94,1),(118,1)}
        54:{1,2,5,7}:{(38,1),(39,1),(40,1),(42,1),(71,1),(101,1),(103,1)}
        55:{1,2,4,6}:{(39,1),(41,1),(43,1),(63,1),(71,1),(72,1),(74,1),(76,1),(106,1),(122,1)}
        56:{1,4,7}:{(40,1),(41,1),(44,1),(73,1),(94,1)}
        57:{3,4,6}:{(41,1),(66,1),(72,1),(73,1),(74,1),(95,1),(100,1)}
        58:{2,4,7}:{(42,1),(43,1),(44,1),(75,1),(94,1)}
        59:{3,4,6}:{(43,1),(69,1),(72,1),(75,1),(76,1),(95,1),(102,1)}
        60:{3,6,7}:{(45,1),(46,1),(77,1),(88,1),(111,1)}
        61:{3,5}:{(45,1),(47,1),(78,1)}
        62:{1,2,5,7}:{(46,1),(47,1),(48,1),(50,1),(77,1),(79,1)}
        63:{1,2,4,5}:{(47,1),(49,1),(51,1),(55,1),(78,1),(81,1),(84,1),(87,1),(109,1),(110,1),(114,1),(136,1),(139,1)}
        64:{1,5,6}:{(48,1),(52,1),(82,1),(116,1)}
        65:{1,4,5,7}:{(48,1),(49,1),(53,1),(56,1),(82,1),(83,1)}
        66:{3,5}:{(49,1),(57,1),(84,1)}
        67:{2,5,6}:{(50,1),(52,1),(85,1),(115,1)}
        68:{2,4,5,7}:{(50,1),(51,1),(53,1),(58,1),(85,1),(86,1)}
        69:{3,5}:{(51,1),(59,1),(87,1)}
        70:{4,6}:{(52,1),(53,1)}
        71:{1,2,4,7}:{(54,1),(55,1),(56,1),(58,1),(88,1),(91,1),(92,1),(117,1)}
        72:{3,6}:{(55,1),(81,1),(88,1),(130,1)}
        73:{3,4,7}:{(56,1),(57,1),(83,1),(88,1),(91,1)}
        74:{2,4,6}:{(57,1),(84,1),(90,1),(91,1),(110,1),(115,1)}
        75:{3,4,7}:{(58,1),(59,1),(86,1),(88,1),(92,1)}
        76:{1,4,6}:{(59,1),(87,1),(89,1),(92,1),(109,1),(116,1)}
        77:{3,5,7}:{(60,1),(61,1),(62,1),(93,1),(94,1)}
        78:{4}:{(61,1)}
        79:{1,2,5,6}:{(62,1),(64,1),(67,1),(93,1),(96,1),(132,1),(133,1)}
        80:{1,2,4,5,7}:{(62,1),(63,1),(65,1),(68,1),(71,1),(94,1),(96,1),(97,1),(101,1),(103,1),(118,1),(120,1),(121,1),(125,1),(132,1),(133,1)}
        81:{3,5}:{(63,1),(72,1),(95,1)}
        82:{1,4,6}:{(64,1),(65,1),(70,1),(100,1)}
        83:{3,5,7}:{(65,1),(66,1),(73,1),(100,1),(101,1)}
        84:{2,5}:{(66,1),(74,1)}
        85:{2,4,6}:{(67,1),(68,1),(70,1),(102,1)}
        86:{3,5,7}:{(68,1),(69,1),(75,1),(102,1),(103,1)}
        87:{1,5}:{(69,1),(76,1)}
        88:{3,7}:{(71,1),(72,1)}
        89:{1,3,6}:{(72,1),(76,1),(98,1),(104,1),(106,1)}
        90:{2,3,6}:{(72,1),(74,1),(99,1),(105,1),(106,1)}
        91:{2,4,7}:{(73,1),(74,1),(101,1),(105,1)}
        92:{1,4,7}:{(75,1),(76,1),(103,1),(104,1)}
        93:{3,5,6}:{(77,1),(79,1),(107,1),(111,1),(126,1)}
        94:{4,7}:{(77,1),(78,1),(107,1)}
        95:{3,4}:{(78,1),(81,1),(109,1),(110,1),(130,1),(139,1)}
        96:{1,2,4,6}:{(79,1),(80,1),(82,1),(85,1),(107,1),(111,1),(115,1),(116,1),(127,1),(128,1),(131,1)}
        97:{3,5,7}:{(80,1),(81,1),(88,1),(108,1),(111,1),(126,1)}
        98:{1,3,5}:{(81,1),(87,1),(89,1),(109,1),(114,1),(130,1)}
        99:{2,3,5}:{(81,1),(84,1),(90,1),(110,1),(114,1),(130,1)}
       100:{3,6}:{(82,1),(83,1),(115,1)}
       101:{2,5,7}:{(83,1),(84,1),(91,1),(115,1)}
       102:{3,6}:{(85,1),(86,1),(116,1)}
       103:{1,5,7}:{(86,1),(87,1),(92,1),(116,1)}
       104:{1,3,7}:{(88,1),(89,1),(92,1),(117,1)}
       105:{2,3,7}:{(88,1),(90,1),(91,1),(117,1)}
       106:{1,2,6}:{(89,1),(90,1),(114,1),(117,1)}
       107:{4,6}:{(93,1),(94,1),(118,1)}
       108:{3,4,7}:{(94,1),(95,1),(97,1),(119,1),(120,1),(121,1),(135,1)}
       109:{1,4}:{(95,1),(98,1)}
       110:{2,4}:{(95,1),(99,1)}
       111:{3,6}:{(96,1),(97,1)}
       112:{1,3,5,7}:{(97,1),(98,1),(103,1),(104,1),(120,1),(123,1),(125,1),(132,1),(135,1),(138,1)}
       113:{2,3,5,7}:{(97,1),(99,1),(101,1),(105,1),(121,1),(124,1),(125,1),(133,1),(135,1),(138,1)}
       114:{1,2,5}:{(98,1),(99,1),(106,1),(122,1)}
       115:{2,6}:{(100,1),(101,1)}
       116:{1,6}:{(102,1),(103,1)}
       117:{1,2,7}:{(104,1),(105,1),(106,1)}
       118:{4,5}:{(107,1),(126,1),(139,1)}
       119:{3,4,6}:{(107,1),(108,1),(111,1),(126,1),(127,1),(128,1),(137,1),(139,1)}
       120:{1,4,7}:{(108,1),(109,1),(112,1),(127,1),(139,1)}
       121:{2,4,7}:{(108,1),(110,1),(113,1),(128,1),(139,1)}
       122:{1,2,4}:{(109,1),(110,1),(114,1),(130,1)}
       123:{1,3,6}:{(111,1),(112,1),(116,1),(127,1),(131,1),(137,1)}
       124:{2,3,6}:{(111,1),(113,1),(115,1),(128,1),(131,1),(137,1)}
       125:{1,2,5,7}:{(112,1),(113,1),(114,1),(117,1),(129,1),(131,1),(136,1)}
       126:{3,5}:{(118,1),(119,1),(132,1),(133,1)}
       127:{1,4,6}:{(119,1),(120,1),(123,1),(132,1)}
       128:{2,4,6}:{(119,1),(121,1),(124,1),(133,1)}
       129:{1,2,4,7}:{(120,1),(121,1),(122,1),(125,1),(134,1),(135,1)}
       130:{3}:{(122,1)}
       131:{1,2,6}:{(123,1),(124,1),(125,1)}
       132:{1,5}:{(126,1),(127,1)}
       133:{2,5}:{(126,1),(128,1)}
       134:{1,2,4,6}:{(127,1),(128,1),(129,1),(131,1),(136,1),(137,1),(139,1)}
       135:{3,7}:{(129,1),(130,1),(137,1)}
       136:{1,2,5}:{(132,1),(133,1),(134,1),(138,1)}
       137:{3,6}:{(134,1),(135,1),(138,1)}
       138:{3,5}:{(136,1),(137,1),(139,1)}
       139:{4}:{(138,1)}

 377 :  0:{1,2,5,6}:{(2,1),(3,1),(4,1),(34,1),(35,1),(53,1),(54,1)}
        1:{1,2,4,5}:{(3,1),(5,1),(14,1),(18,1),(19,1),(23,1),(34,1),(35,1)}
        2:{3,5,6}:{(0,1),(6,1),(7,1),(9,1),(24,1),(47,1),(48,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(6,1),(9,1),(10,1),(26,1),(27,1),(31,1)}
        4:{1,2,5,7}:{(0,1),(7,1),(10,1),(11,1),(45,1),(46,1)}
        5:{3,5}:{(1,1),(8,1),(9,1)}
        6:{4,6}:{(2,1),(14,1),(16,1)}
        7:{3,5,7}:{(2,1),(4,1),(16,1),(17,1),(22,1),(41,1)}
        8:{3,4}:{(5,1),(18,1),(19,1),(42,1)}
        9:{3,6}:{(3,1),(5,1),(22,1)}
       10:{1,2,4,7}:{(3,1),(4,1),(16,1),(22,1),(39,1),(40,1),(43,1)}
       11:{1,2,6,7}:{(4,1),(17,1),(53,1),(54,1)}
       12:{1,3,5}:{(5,1),(18,1),(20,1),(23,1),(34,1),(42,1),(51,1)}
       13:{2,3,5}:{(5,1),(19,1),(21,1),(23,1),(35,1),(42,1),(51,1)}
       14:{4,5}:{(6,1),(24,1),(56,1)}
       15:{3,4,6}:{(6,1),(8,1),(9,1),(24,1),(26,1),(27,1),(28,1),(47,1),(49,1),(56,1),(61,1)}
       16:{4,7}:{(6,1),(7,1)}
       17:{3,6,7}:{(7,1),(11,1),(29,1),(47,1)}
       18:{1,4}:{(8,1),(12,1),(56,1)}
       19:{2,4}:{(8,1),(13,1),(56,1)}
       20:{1,3,6}:{(9,1),(12,1),(26,1),(31,1),(32,1),(49,1)}
       21:{2,3,6}:{(9,1),(13,1),(27,1),(31,1),(33,1),(49,1)}
       22:{3,7}:{(9,1),(10,1)}
       23:{1,2,5}:{(12,1),(13,1),(30,1),(31,1)}
       24:{3,5}:{(14,1),(15,1),(34,1),(35,1),(62,1)}
       25:{4,5,7}:{(14,1),(16,1),(36,1),(37,1),(41,1),(59,1),(62,1)}
       26:{1,4,6}:{(15,1),(18,1),(20,1),(34,1),(39,1),(53,1)}
       27:{2,4,6}:{(15,1),(19,1),(21,1),(35,1),(40,1),(54,1)}
       28:{3,4,7}:{(15,1),(16,1),(22,1),(36,1),(39,1),(40,1),(55,1),(59,1)}
       29:{4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
       30:{1,2,4}:{(18,1),(19,1),(23,1),(42,1)}
       31:{1,2,6}:{(20,1),(21,1),(23,1),(43,1)}
       32:{1,3,7}:{(20,1),(22,1),(39,1),(43,1),(55,1)}
       33:{2,3,7}:{(21,1),(22,1),(40,1),(43,1),(55,1)}
       34:{1,5}:{(24,1),(26,1)}
       35:{2,5}:{(24,1),(27,1)}
       36:{3,5,7}:{(24,1),(25,1),(28,1),(45,1),(46,1),(47,1)}
       37:{4,6}:{(25,1),(47,1),(48,1)}
       38:{1,2,4,6}:{(26,1),(27,1),(30,1),(31,1),(44,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       39:{1,4,7}:{(26,1),(28,1),(32,1),(45,1)}
       40:{2,4,7}:{(27,1),(28,1),(33,1),(46,1)}
       41:{5,7}:{(29,1),(48,1)}
       42:{3}:{(30,1)}
       43:{1,2,7}:{(31,1),(32,1),(33,1)}
       44:{1,2,5}:{(34,1),(35,1),(38,1),(51,1),(62,1)}
       45:{1,5,7}:{(34,1),(36,1),(39,1),(53,1)}
       46:{2,5,7}:{(35,1),(36,1),(40,1),(54,1)}
       47:{3,6}:{(36,1),(37,1),(53,1),(54,1)}
       48:{5,6}:{(37,1),(41,1),(62,1)}
       49:{3,6}:{(38,1),(42,1),(51,1),(55,1)}
       50:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(52,1),(55,1),(59,1)}
       51:{3,5}:{(44,1),(49,1),(56,1)}
       52:{1,2,5,7}:{(44,1),(45,1),(46,1),(50,1),(57,1),(58,1)}
       53:{1,6}:{(45,1),(47,1)}
       54:{2,6}:{(46,1),(47,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{4}:{(51,1)}
       57:{3,5,7}:{(51,1),(52,1),(55,1),(59,1),(60,1),(62,1)}
       58:{1,2,6}:{(52,1),(53,1),(54,1),(60,1)}
       59:{4,7}:{(56,1),(57,1),(61,1)}
       60:{3,6}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 378 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(11,1),(19,1),(39,1),(45,1),(85,1),(98,1)}
         1:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(27,1),(31,1),(72,1)}
         2:{1,3,5}:{(0,1),(6,1),(8,1),(29,1),(108,1),(124,1)}
         3:{1,3,4,7}:{(0,1),(7,1),(9,1),(25,1),(64,1),(71,1),(111,1),(205,1)}
         4:{1,3,5,6}:{(2,1),(10,1),(11,1),(12,1),(19,1),(35,1),(39,1),(54,1),(103,1)}
         5:{2,3,6}:{(1,1),(13,1),(14,1),(39,1)}
         6:{1,2,5}:{(1,1),(2,1),(13,1),(99,1)}
         7:{1,2,4,7}:{(1,1),(3,1),(14,1),(16,1),(46,1),(208,1)}
         8:{1,4,5}:{(2,1),(11,1),(17,1),(146,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(16,1),(18,1),(19,1),(50,1),(132,1),(197,1),(200,1)}
        10:{1,2,5,6}:{(4,1),(6,1),(21,1),(22,1),(23,1),(31,1),(55,1),(108,1),(152,1)}
        11:{1,4,6}:{(4,1),(8,1),(24,1),(25,1),(128,1)}
        12:{1,3,5,7}:{(4,1),(23,1),(25,1),(26,1),(56,1),(64,1),(68,1),(117,1)}
        13:{2,3,5}:{(5,1),(6,1),(27,1),(29,1)}
        14:{2,3,7}:{(5,1),(7,1),(64,1),(209,1)}
        15:{1,2,4,5}:{(6,1),(8,1),(22,1),(27,1),(29,1),(32,1),(58,1),(69,1),(73,1),(108,1)}
        16:{1,2,5,7}:{(6,1),(7,1),(9,1),(28,1),(31,1),(204,1),(207,1)}
        17:{3,4,5}:{(8,1),(24,1),(29,1),(32,1)}
        18:{1,4,5,7}:{(8,1),(9,1),(25,1),(33,1),(34,1),(68,1),(188,1),(192,1)}
        19:{1,3,6}:{(9,1),(31,1),(34,1),(76,1),(152,1)}
        20:{1,4,5,6}:{(11,1),(35,1),(36,1),(54,1),(105,1)}
        21:{2,3,5,6}:{(10,1),(13,1),(37,1),(38,1),(39,1),(47,1),(83,1),(99,1),(103,1),(133,1),(134,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(15,1),(37,1),(39,1),(40,1),(42,1),(85,1),(88,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(38,1),(40,1),(41,1),(80,1),(132,1)}
        24:{3,4,6}:{(11,1),(17,1),(35,1),(39,1),(42,1),(43,1)}
        25:{1,4,7}:{(11,1),(12,1),(43,1),(140,1)}
        26:{1,3,6,7}:{(12,1),(19,1),(41,1),(44,1),(81,1),(91,1),(197,1)}
        27:{2,4}:{(13,1),(45,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(16,1),(46,1),(47,1),(50,1),(99,1),(196,1),(198,1),(201,1)}
        29:{3,5}:{(15,1),(39,1),(45,1)}
        30:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(40,1),(46,1),(50,1),(51,1),(52,1),(84,1),(92,1),(96,1),(99,1),(100,1),(132,1),(140,1),(144,1),(146,1),(171,1),(172,1),(177,1),(196,1)}
        31:{1,2,6}:{(16,1),(19,1),(47,1)}
        32:{2,4,5}:{(17,1),(42,1),(49,1)}
        33:{3,4,5,7}:{(17,1),(18,1),(43,1),(50,1),(52,1),(53,1),(94,1),(140,1),(146,1),(174,1),(179,1)}
        34:{1,4,6}:{(18,1),(19,1),(53,1),(54,1)}
        35:{3,5,6}:{(20,1),(24,1),(55,1),(56,1)}
        36:{1,4,5,7}:{(20,1),(25,1),(56,1),(57,1),(68,1),(119,1)}
        37:{2,4,6}:{(21,1),(27,1),(58,1),(59,1),(60,1),(128,1)}
        38:{2,3,5,7}:{(21,1),(23,1),(60,1),(61,1),(64,1),(109,1),(113,1),(117,1)}
        39:{3,6}:{(22,1),(29,1),(64,1)}
        40:{1,2,4,7}:{(22,1),(23,1),(25,1),(60,1),(64,1),(66,1),(111,1),(114,1)}
        41:{1,2,6,7}:{(23,1),(26,1),(31,1),(61,1),(106,1),(152,1),(204,1)}
        42:{2,4,6}:{(24,1),(32,1),(55,1),(63,1),(66,1)}
        43:{3,4,7}:{(24,1),(25,1),(56,1),(64,1),(66,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(34,1),(67,1),(68,1),(183,1),(188,1)}
        45:{3,4}:{(27,1),(29,1),(69,1)}
        46:{2,4,7}:{(27,1),(28,1),(71,1),(72,1),(206,1)}
        47:{2,3,6}:{(28,1),(31,1),(72,1),(76,1),(203,1)}
        48:{1,3,5}:{(29,1),(62,1),(69,1),(73,1),(108,1),(120,1)}
        49:{2,3,5}:{(29,1),(32,1),(63,1),(70,1),(73,1)}
        50:{3,5,7}:{(29,1),(30,1),(64,1),(71,1),(76,1),(124,1),(186,1),(190,1)}
        51:{1,2,4,6}:{(30,1),(31,1),(34,1),(72,1),(76,1),(77,1),(78,1),(110,1),(122,1),(125,1),(128,1),(152,1),(184,1),(203,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(66,1),(75,1),(78,1),(118,1),(158,1),(163,1)}
        53:{3,4,6}:{(33,1),(34,1),(76,1),(78,1),(79,1),(128,1)}
        54:{1,5,6}:{(34,1),(68,1),(79,1)}
        55:{2,5,6}:{(35,1),(42,1),(80,1)}
        56:{3,5,7}:{(35,1),(36,1),(43,1),(80,1),(81,1)}
        57:{1,4,6,7}:{(36,1),(81,1),(82,1),(131,1)}
        58:{2,4,5}:{(37,1),(83,1),(99,1),(146,1)}
        59:{3,4,6}:{(37,1),(39,1),(45,1),(83,1),(85,1),(86,1),(133,1)}
        60:{2,4,7}:{(37,1),(38,1),(86,1),(140,1)}
        61:{2,3,6,7}:{(38,1),(41,1),(47,1),(87,1),(91,1),(133,1),(198,1)}
        62:{1,3,6}:{(39,1),(48,1),(85,1),(88,1),(89,1)}
        63:{2,3,6}:{(39,1),(42,1),(49,1),(88,1),(90,1)}
        64:{3,7}:{(39,1),(40,1)}
        65:{1,2,4,6,7}:{(40,1),(41,1),(44,1),(51,1),(87,1),(91,1),(92,1),(93,1),(135,1),(137,1),(140,1),(172,1)}
        66:{2,4,7}:{(42,1),(43,1),(80,1),(90,1)}
        67:{3,4,6,7}:{(43,1),(44,1),(53,1),(81,1),(91,1),(93,1),(94,1),(131,1),(140,1),(168,1),(174,1)}
        68:{1,5,7}:{(44,1),(54,1),(94,1)}
        69:{1,4}:{(45,1),(48,1)}
        70:{2,3,4}:{(45,1),(49,1),(95,1)}
        71:{3,4,7}:{(45,1),(46,1),(50,1),(96,1),(98,1),(140,1),(199,1)}
        72:{2,4,6}:{(46,1),(47,1),(98,1),(99,1)}
        73:{1,2,5}:{(48,1),(49,1),(88,1),(95,1)}
        74:{1,3,5,7}:{(48,1),(50,1),(89,1),(96,1),(100,1),(101,1),(132,1),(142,1),(144,1),(176,1)}
        75:{2,3,5,7}:{(49,1),(50,1),(52,1),(90,1),(97,1),(100,1),(102,1),(145,1),(196,1)}
        76:{3,6}:{(50,1),(51,1)}
        77:{1,2,5,6}:{(51,1),(54,1),(92,1),(99,1),(103,1),(104,1),(134,1),(144,1),(169,1)}
        78:{2,4,6}:{(52,1),(53,1),(102,1),(104,1)}
        79:{3,5,6}:{(53,1),(54,1),(94,1),(104,1),(105,1)}
        80:{2,5,7}:{(55,1),(56,1),(66,1),(106,1)}
        81:{3,6,7}:{(56,1),(57,1),(106,1)}
        82:{1,5,6,7}:{(57,1),(68,1),(107,1),(183,1)}
        83:{3,5}:{(58,1),(59,1),(108,1)}
        84:{2,4,5,7}:{(58,1),(60,1),(109,1),(110,1),(113,1),(155,1)}
        85:{1,4,6}:{(59,1),(62,1),(69,1),(108,1),(111,1),(152,1)}
        86:{3,4,7}:{(59,1),(60,1),(64,1),(109,1),(111,1)}
        87:{2,4,6,7}:{(60,1),(61,1),(72,1),(110,1),(112,1),(113,1),(187,1),(203,1)}
        88:{1,2,6}:{(62,1),(63,1),(73,1),(114,1)}
        89:{1,3,7}:{(62,1),(64,1),(111,1),(114,1)}
        90:{2,3,7}:{(63,1),(64,1),(66,1),(114,1)}
        91:{3,6,7}:{(64,1),(65,1),(76,1),(117,1),(186,1)}
        92:{1,2,5,7}:{(65,1),(68,1),(77,1),(113,1),(117,1),(118,1),(154,1)}
        93:{2,4,6,7}:{(66,1),(67,1),(78,1),(106,1),(116,1),(118,1),(158,1)}
        94:{3,5,7}:{(67,1),(68,1),(79,1),(118,1),(119,1)}
        95:{1,2,4}:{(69,1),(70,1),(73,1),(120,1)}
        96:{1,4,7}:{(69,1),(71,1),(74,1),(122,1),(189,1)}
        97:{2,3,4,7}:{(70,1),(71,1),(75,1),(121,1),(123,1),(158,1),(186,1),(187,1)}
        98:{3,4,6}:{(71,1),(72,1),(76,1),(122,1),(124,1),(128,1)}
        99:{2,5}:{(72,1),(124,1)}
       100:{1,2,5,7}:{(73,1),(74,1),(75,1),(114,1),(121,1),(125,1),(161,1)}
       101:{1,3,6}:{(74,1),(76,1),(122,1),(125,1),(152,1)}
       102:{2,3,6}:{(75,1),(76,1),(78,1),(125,1),(203,1)}
       103:{3,5,6}:{(76,1),(77,1),(117,1),(124,1),(128,1)}
       104:{2,5,6}:{(78,1),(79,1),(118,1)}
       105:{4,5,6}:{(79,1),(119,1),(128,1)}
       106:{2,6,7}:{(80,1),(81,1)}
       107:{3,5,6,7}:{(81,1),(82,1),(94,1),(130,1),(131,1),(168,1)}
       108:{1,5}:{(83,1),(85,1)}
       109:{3,5,7}:{(83,1),(84,1),(86,1),(132,1),(133,1)}
       110:{2,4,6}:{(84,1),(133,1),(134,1),(170,1)}
       111:{1,4,7}:{(85,1),(86,1),(89,1),(132,1)}
       112:{3,4,6,7}:{(86,1),(87,1),(91,1),(98,1),(133,1),(135,1),(136,1),(140,1),(170,1),(173,1),(195,1)}
       113:{2,5,7}:{(87,1),(99,1),(134,1),(136,1)}
       114:{1,2,7}:{(88,1),(89,1),(90,1)}
       115:{1,3,6,7}:{(89,1),(91,1),(101,1),(135,1),(137,1),(138,1),(195,1)}
       116:{2,3,6,7}:{(90,1),(91,1),(93,1),(102,1),(137,1),(139,1),(168,1)}
       117:{3,5,7}:{(91,1),(92,1),(103,1),(140,1)}
       118:{2,5,7}:{(93,1),(94,1),(104,1)}
       119:{4,5,7}:{(94,1),(105,1),(131,1),(140,1)}
       120:{1,3}:{(95,1)}
       121:{1,2,4,7}:{(95,1),(96,1),(97,1),(100,1),(142,1),(143,1)}
       122:{1,4,6}:{(96,1),(98,1),(101,1),(144,1)}
       123:{2,3,4,6}:{(97,1),(98,1),(102,1),(143,1),(145,1),(149,1),(180,1),(181,1),(199,1)}
       124:{3,5}:{(98,1),(99,1),(144,1),(146,1)}
       125:{1,2,6}:{(100,1),(101,1),(102,1)}
       126:{1,3,5,6}:{(101,1),(103,1),(138,1),(144,1),(147,1),(148,1),(169,1),(176,1),(178,1),(180,1),(195,1)}
       127:{2,3,5,6}:{(102,1),(103,1),(104,1),(139,1),(145,1),(147,1),(149,1),(150,1),(180,1)}
       128:{4,6}:{(103,1),(140,1),(146,1)}
       129:{2,4,5,6}:{(104,1),(105,1),(141,1),(149,1),(150,1)}
       130:{2,5,6,7}:{(106,1),(107,1),(118,1),(151,1)}
       131:{4,6,7}:{(107,1),(119,1)}
       132:{1,5,7}:{(108,1),(109,1),(111,1),(152,1)}
       133:{3,6}:{(109,1),(110,1),(152,1)}
       134:{2,5,6}:{(110,1),(113,1),(153,1),(203,1)}
       135:{1,4,6,7}:{(111,1),(112,1),(115,1),(122,1),(152,1),(154,1),(157,1),(184,1)}
       136:{3,5,7}:{(112,1),(113,1),(124,1),(153,1),(154,1),(155,1)}
       137:{1,2,6,7}:{(114,1),(115,1),(116,1),(125,1),(156,1),(183,1),(203,1)}
       138:{1,3,5,7}:{(115,1),(117,1),(126,1),(154,1),(156,1),(157,1),(185,1),(186,1)}
       139:{2,3,5,7}:{(116,1),(117,1),(118,1),(127,1),(156,1),(158,1),(159,1),(186,1)}
       140:{4,7}:{(117,1),(128,1)}
       141:{2,4,5,7}:{(118,1),(119,1),(129,1),(151,1),(158,1),(159,1)}
       142:{1,3,7}:{(120,1),(121,1),(160,1),(186,1)}
       143:{1,2,4,6}:{(121,1),(122,1),(123,1),(125,1),(160,1),(161,1),(189,1)}
       144:{1,5}:{(122,1),(124,1)}
       145:{2,3,5}:{(123,1),(124,1),(161,1),(163,1),(190,1),(191,1)}
       146:{4,5}:{(124,1),(128,1)}
       147:{1,2,5,6}:{(125,1),(126,1),(127,1),(156,1),(161,1),(164,1),(167,1),(191,1),(203,1)}
       148:{1,4,6}:{(126,1),(128,1),(157,1),(162,1),(165,1),(189,1)}
       149:{2,4,6}:{(127,1),(128,1),(158,1),(163,1),(166,1)}
       150:{3,5,6}:{(129,1),(159,1),(166,1),(167,1)}
       151:{2,4,6,7}:{(130,1),(131,1),(141,1),(168,1)}
       152:{1,6}:{(132,1),(133,1)}
       153:{3,5,6}:{(133,1),(134,1),(136,1),(169,1),(170,1),(195,1)}
       154:{1,5,7}:{(135,1),(136,1),(144,1),(169,1)}
       155:{4,5,7}:{(136,1),(140,1),(146,1),(170,1)}
       156:{1,2,5,7}:{(137,1),(138,1),(139,1),(147,1),(172,1),(175,1),(196,1)}
       157:{1,4,7}:{(138,1),(140,1),(148,1),(173,1)}
       158:{2,4,7}:{(139,1),(140,1),(149,1),(174,1)}
       159:{3,5,7}:{(141,1),(150,1),(168,1),(174,1),(175,1)}
       160:{1,3,6}:{(142,1),(143,1),(176,1),(180,1)}
       161:{1,2,5}:{(143,1),(144,1),(145,1),(176,1)}
       162:{1,4,5}:{(144,1),(146,1),(148,1),(178,1)}
       163:{2,4,5}:{(145,1),(146,1),(149,1),(179,1)}
       164:{1,2,4,6}:{(147,1),(148,1),(149,1),(172,1),(177,1),(180,1),(181,1),(182,1),(202,1)}
       165:{3,4,6}:{(148,1),(173,1),(178,1),(180,1),(181,1),(195,1),(199,1)}
       166:{3,4,6}:{(149,1),(150,1),(174,1),(179,1),(180,1),(182,1)}
       167:{1,5,6}:{(150,1),(175,1),(182,1)}
       168:{3,6,7}:{(151,1),(159,1),(183,1)}
       169:{1,5,6}:{(152,1),(153,1),(154,1),(184,1)}
       170:{4,6}:{(153,1),(155,1)}
       171:{1,4,5,7}:{(154,1),(155,1),(157,1),(162,1),(184,1),(185,1)}
       172:{1,2,4,7}:{(156,1),(157,1),(158,1),(164,1),(186,1),(187,1),(188,1),(204,1)}
       173:{3,4,7}:{(157,1),(165,1),(185,1),(186,1),(187,1)}
       174:{3,4,7}:{(158,1),(159,1),(166,1),(186,1),(188,1)}
       175:{1,5,7}:{(159,1),(167,1),(183,1),(188,1)}
       176:{1,3,5}:{(160,1),(161,1),(189,1),(190,1)}
       177:{1,2,4,5}:{(161,1),(162,1),(163,1),(164,1),(189,1),(190,1),(191,1),(192,1),(206,1),(207,1)}
       178:{3,5}:{(162,1),(165,1),(191,1)}
       179:{3,4,5}:{(163,1),(166,1),(190,1),(192,1)}
       180:{3,6}:{(164,1),(186,1),(190,1)}
       181:{2,4,6}:{(165,1),(187,1),(191,1),(194,1),(203,1),(206,1)}
       182:{1,4,6}:{(166,1),(167,1),(188,1),(192,1),(193,1)}
       183:{1,6,7}:{(168,1),(175,1)}
       184:{1,4,6}:{(169,1),(170,1),(171,1),(195,1)}
       185:{3,5,7}:{(171,1),(173,1),(178,1),(195,1),(196,1)}
       186:{3,7}:{(172,1),(180,1)}
       187:{2,4,7}:{(173,1),(181,1),(196,1),(198,1)}
       188:{1,4,7}:{(174,1),(175,1),(182,1),(197,1)}
       189:{1,4}:{(176,1),(199,1)}
       190:{3,5}:{(177,1),(180,1),(199,1)}
       191:{2,5}:{(178,1),(181,1)}
       192:{1,4,5}:{(179,1),(182,1),(200,1)}
       193:{1,3,6}:{(180,1),(182,1),(197,1),(200,1),(202,1)}
       194:{2,3,6}:{(180,1),(181,1),(198,1),(201,1),(202,1)}
       195:{3,6}:{(184,1),(185,1),(203,1)}
       196:{2,5,7}:{(185,1),(187,1),(191,1),(203,1)}
       197:{1,3,7}:{(186,1),(188,1),(193,1),(204,1)}
       198:{2,3,7}:{(186,1),(187,1),(194,1),(204,1)}
       199:{3,4}:{(189,1),(190,1),(206,1)}
       200:{1,3,5}:{(190,1),(192,1),(193,1),(205,1),(207,1)}
       201:{2,3,5}:{(190,1),(191,1),(194,1),(206,1),(207,1),(209,1)}
       202:{1,2,6}:{(193,1),(194,1),(204,1),(207,1)}
       203:{2,6}:{(195,1),(196,1)}
       204:{1,2,7}:{(197,1),(198,1),(202,1)}
       205:{1,3,4}:{(199,1),(200,1),(208,1)}
       206:{2,4}:{(199,1),(201,1)}
       207:{1,2,5}:{(200,1),(201,1),(202,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{2,3}:{(208,1)}

 379 :   0:{1,3,4,7}:{(2,1),(3,1),(4,1),(52,1),(67,1),(127,1),(179,1),(196,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(7,1),(29,1),(35,1),(45,1),(98,1),(136,1),(143,1),(146,1),(147,1)}
         2:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(12,1),(29,1),(183,1),(190,1),(195,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(37,1),(205,1)}
         4:{1,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(42,1),(81,1),(97,1),(100,1),(156,1)}
         5:{1,4,5,7}:{(1,1),(2,1),(15,1),(25,1),(56,1),(67,1),(163,1),(171,1)}
         6:{2,4,5,7}:{(1,1),(13,1),(16,1),(58,1),(71,1),(105,1),(111,1),(130,1)}
         7:{3,4,6}:{(1,1),(15,1),(16,1),(18,1),(53,1),(116,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(19,1),(20,1),(24,1),(198,1),(203,1)}
         9:{1,3,6}:{(2,1),(15,1),(20,1),(53,1),(204,1)}
        10:{2,3,7}:{(3,1),(23,1),(127,1),(208,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(20,1),(23,1),(24,1),(62,1),(69,1)}
        12:{1,3,5}:{(4,1),(24,1),(25,1),(70,1),(114,1),(178,1)}
        13:{2,3,5,7}:{(6,1),(26,1),(27,1),(28,1),(29,1),(74,1),(102,1),(158,1),(207,1)}
        14:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(27,1),(29,1),(30,1),(37,1),(44,1),(75,1),(84,1),(93,1),(96,1),(135,1),(138,1),(141,1),(146,1),(147,1),(153,1),(186,1),(195,1),(207,1)}
        15:{1,4,6}:{(5,1),(7,1),(9,1),(32,1)}
        16:{2,4,6}:{(6,1),(7,1),(28,1),(34,1)}
        17:{3,4,6,7}:{(7,1),(31,1),(33,1),(35,1),(82,1),(91,1),(98,1),(143,1),(147,1),(148,1),(150,1)}
        18:{3,5,6}:{(7,1),(32,1),(34,1),(35,1),(36,1)}
        19:{2,3,5,7}:{(8,1),(10,1),(29,1),(37,1),(38,1),(43,1),(93,1),(184,1),(191,1),(207,1)}
        20:{1,2,6}:{(8,1),(9,1),(38,1)}
        21:{1,3,6,7}:{(9,1),(31,1),(39,1),(41,1),(82,1),(148,1),(190,1)}
        22:{1,3,5,6}:{(9,1),(12,1),(32,1),(40,1),(41,1),(42,1),(83,1),(87,1),(97,1)}
        23:{2,3,6}:{(10,1),(11,1),(43,1),(97,1)}
        24:{1,2,5}:{(11,1),(12,1),(43,1),(93,1)}
        25:{1,4,5}:{(12,1),(42,1),(45,1),(146,1)}
        26:{2,3,4,7}:{(13,1),(46,1),(47,1),(52,1),(111,1),(132,1),(168,1),(202,1)}
        27:{1,2,5,7}:{(13,1),(46,1),(48,1),(49,1),(104,1),(133,1),(180,1)}
        28:{2,3,6}:{(13,1),(16,1),(49,1),(53,1),(209,1)}
        29:{3,5,7}:{(14,1),(52,1),(53,1),(70,1),(114,1),(127,1),(162,1),(168,1)}
        30:{1,2,4,6}:{(14,1),(15,1),(16,1),(20,1),(49,1),(53,1),(55,1),(62,1),(106,1),(116,1),(176,1),(199,1),(204,1),(209,1)}
        31:{1,4,6,7}:{(15,1),(17,1),(21,1),(56,1),(67,1),(171,1),(175,1)}
        32:{1,5,6}:{(15,1),(18,1),(56,1)}
        33:{2,4,6,7}:{(16,1),(17,1),(50,1),(58,1),(111,1),(130,1),(174,1)}
        34:{2,5,6}:{(16,1),(18,1),(58,1)}
        35:{3,5,7}:{(17,1),(18,1),(56,1),(58,1),(61,1)}
        36:{4,5,6}:{(18,1),(61,1),(116,1)}
        37:{2,4,7}:{(19,1),(52,1),(62,1),(69,1),(197,1)}
        38:{2,3,6}:{(19,1),(20,1),(53,1),(62,1),(209,1)}
        39:{1,2,6,7}:{(20,1),(21,1),(63,1),(65,1),(174,1),(203,1),(204,1)}
        40:{1,2,5,6}:{(20,1),(22,1),(24,1),(64,1),(65,1),(66,1),(119,1),(178,1),(204,1)}
        41:{1,3,5,7}:{(21,1),(22,1),(56,1),(65,1),(67,1),(115,1),(118,1),(127,1)}
        42:{1,4,6}:{(22,1),(25,1),(67,1),(68,1),(116,1)}
        43:{2,3,5}:{(23,1),(24,1),(69,1),(70,1)}
        44:{1,2,4,5}:{(24,1),(25,1),(66,1),(69,1),(70,1),(71,1),(124,1),(131,1),(133,1),(178,1)}
        45:{3,4,5}:{(25,1),(68,1),(70,1),(71,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(72,1),(73,1),(75,1),(160,1)}
        47:{2,3,4,6}:{(26,1),(28,1),(73,1),(74,1),(80,1),(81,1),(142,1),(182,1),(189,1)}
        48:{1,3,5,7}:{(27,1),(29,1),(72,1),(75,1),(76,1),(101,1),(134,1),(138,1),(157,1),(195,1)}
        49:{1,2,6}:{(27,1),(28,1),(76,1)}
        50:{2,3,6,7}:{(28,1),(33,1),(77,1),(79,1),(82,1),(150,1),(158,1)}
        51:{2,3,5,6}:{(28,1),(34,1),(74,1),(78,1),(79,1),(80,1),(83,1),(90,1),(142,1)}
        52:{3,4,7}:{(29,1),(37,1),(75,1),(81,1),(100,1),(147,1),(182,1)}
        53:{3,6}:{(29,1),(30,1)}
        54:{1,2,4,6,7}:{(30,1),(31,1),(33,1),(39,1),(77,1),(82,1),(84,1),(92,1),(96,1),(137,1),(141,1),(147,1)}
        55:{1,2,5,6}:{(30,1),(32,1),(34,1),(83,1),(84,1),(93,1),(138,1),(152,1),(185,1)}
        56:{1,5,7}:{(31,1),(32,1),(35,1)}
        57:{1,4,5,6}:{(32,1),(36,1),(42,1),(86,1),(87,1)}
        58:{2,5,7}:{(33,1),(34,1),(35,1)}
        59:{2,4,5,6}:{(34,1),(36,1),(80,1),(89,1),(90,1)}
        60:{3,5,6,7}:{(35,1),(85,1),(88,1),(91,1),(148,1),(150,1)}
        61:{4,5,7}:{(35,1),(36,1),(91,1),(147,1)}
        62:{2,4,6}:{(37,1),(38,1),(81,1),(93,1)}
        63:{2,3,6,7}:{(38,1),(39,1),(82,1),(92,1),(94,1),(191,1),(194,1)}
        64:{2,3,5,6}:{(38,1),(40,1),(43,1),(83,1),(93,1),(94,1),(95,1),(97,1),(152,1),(154,1),(194,1)}
        65:{1,2,5,7}:{(39,1),(40,1),(41,1),(94,1),(96,1),(149,1),(195,1)}
        66:{1,2,4,6}:{(40,1),(42,1),(44,1),(95,1),(96,1),(97,1),(99,1),(156,1),(159,1)}
        67:{1,4,7}:{(41,1),(42,1),(98,1),(147,1)}
        68:{3,4,6}:{(42,1),(45,1),(87,1),(97,1),(98,1),(99,1)}
        69:{2,4}:{(43,1),(100,1)}
        70:{3,5}:{(44,1),(97,1),(100,1)}
        71:{2,4,5}:{(45,1),(99,1),(102,1)}
        72:{1,3,7}:{(46,1),(103,1),(168,1),(181,1)}
        73:{1,2,4,6}:{(46,1),(47,1),(49,1),(103,1),(104,1),(106,1),(161,1)}
        74:{2,3,5}:{(47,1),(104,1),(105,1),(114,1),(162,1),(201,1)}
        75:{1,4,7}:{(48,1),(52,1),(106,1),(131,1),(161,1)}
        76:{1,3,6}:{(48,1),(49,1),(53,1),(106,1),(204,1)}
        77:{1,2,6,7}:{(49,1),(50,1),(107,1),(109,1),(175,1),(180,1),(209,1)}
        78:{1,2,5,6}:{(49,1),(51,1),(104,1),(108,1),(109,1),(110,1),(122,1),(201,1),(209,1)}
        79:{2,3,5,7}:{(50,1),(51,1),(58,1),(109,1),(111,1),(115,1),(121,1),(168,1)}
        80:{2,4,6}:{(51,1),(105,1),(111,1),(112,1),(116,1)}
        81:{3,4,6}:{(52,1),(53,1),(62,1),(106,1),(114,1),(116,1)}
        82:{3,6,7}:{(53,1),(54,1),(115,1),(127,1),(168,1)}
        83:{3,5,6}:{(53,1),(55,1),(114,1),(115,1),(116,1)}
        84:{1,2,5,7}:{(54,1),(55,1),(56,1),(58,1),(115,1),(123,1),(164,1)}
        85:{1,5,6,7}:{(56,1),(60,1),(117,1),(175,1)}
        86:{1,4,5,7}:{(56,1),(57,1),(61,1),(67,1),(117,1),(118,1)}
        87:{3,5,6}:{(57,1),(68,1),(118,1),(119,1)}
        88:{2,5,6,7}:{(58,1),(60,1),(120,1),(174,1)}
        89:{2,4,5,7}:{(58,1),(59,1),(61,1),(111,1),(120,1),(121,1)}
        90:{3,5,6}:{(59,1),(112,1),(121,1),(122,1)}
        91:{4,6,7}:{(60,1),(61,1)}
        92:{2,4,6,7}:{(62,1),(63,1),(113,1),(123,1),(125,1),(176,1),(202,1),(209,1)}
        93:{2,5}:{(62,1),(114,1)}
        94:{2,3,5,7}:{(63,1),(64,1),(65,1),(115,1),(123,1),(125,1),(127,1),(177,1)}
        95:{2,4,6}:{(64,1),(69,1),(116,1),(124,1),(125,1),(126,1)}
        96:{1,2,4,7}:{(65,1),(66,1),(67,1),(125,1),(127,1),(130,1),(179,1),(180,1)}
        97:{3,6}:{(66,1),(70,1),(127,1)}
        98:{3,4,7}:{(67,1),(68,1),(118,1),(127,1),(130,1)}
        99:{2,4,6}:{(68,1),(71,1),(119,1),(129,1),(130,1)}
       100:{3,4}:{(69,1),(70,1),(131,1)}
       101:{1,3,5}:{(70,1),(128,1),(131,1),(133,1),(178,1),(181,1)}
       102:{2,3,5}:{(70,1),(71,1),(129,1),(132,1),(133,1)}
       103:{1,3,6}:{(72,1),(73,1),(134,1),(142,1)}
       104:{1,2,5}:{(73,1),(74,1),(134,1),(138,1)}
       105:{2,4,5}:{(74,1),(80,1),(136,1),(146,1)}
       106:{1,4,6}:{(75,1),(76,1),(81,1),(138,1)}
       107:{1,3,6,7}:{(76,1),(77,1),(82,1),(137,1),(139,1),(157,1),(206,1)}
       108:{1,3,5,6}:{(76,1),(78,1),(83,1),(134,1),(138,1),(139,1),(140,1),(142,1),(185,1),(187,1),(206,1)}
       109:{1,2,5,7}:{(77,1),(78,1),(79,1),(139,1),(141,1),(151,1),(207,1)}
       110:{1,2,4,6}:{(78,1),(80,1),(135,1),(140,1),(141,1),(142,1),(144,1),(189,1),(192,1)}
       111:{2,4,7}:{(79,1),(80,1),(143,1),(147,1)}
       112:{3,4,6}:{(80,1),(90,1),(136,1),(142,1),(143,1),(144,1)}
       113:{3,4,6,7}:{(81,1),(82,1),(92,1),(137,1),(145,1),(147,1),(155,1),(188,1),(193,1),(194,1),(206,1)}
       114:{3,5}:{(81,1),(93,1),(138,1),(146,1)}
       115:{3,5,7}:{(82,1),(83,1),(84,1),(147,1)}
       116:{4,6}:{(83,1),(146,1),(147,1)}
       117:{1,4,6,7}:{(85,1),(86,1),(91,1),(148,1)}
       118:{3,5,7}:{(86,1),(87,1),(98,1),(148,1),(149,1)}
       119:{2,5,6}:{(87,1),(99,1),(149,1)}
       120:{2,4,6,7}:{(88,1),(89,1),(91,1),(150,1)}
       121:{3,5,7}:{(89,1),(90,1),(143,1),(150,1),(151,1)}
       122:{1,5,6}:{(90,1),(144,1),(151,1)}
       123:{2,5,7}:{(92,1),(93,1),(145,1),(152,1)}
       124:{2,4,5}:{(93,1),(95,1),(146,1),(154,1)}
       125:{2,4,7}:{(94,1),(95,1),(147,1),(155,1)}
       126:{3,4,6}:{(95,1),(97,1),(100,1),(154,1),(155,1),(156,1),(194,1)}
       127:{3,7}:{(96,1),(97,1)}
       128:{1,3,6}:{(97,1),(101,1),(156,1),(157,1),(159,1)}
       129:{2,3,6}:{(97,1),(99,1),(102,1),(158,1),(159,1)}
       130:{2,4,7}:{(98,1),(99,1),(149,1),(158,1)}
       131:{1,4}:{(100,1),(101,1)}
       132:{2,3,4}:{(100,1),(102,1),(160,1)}
       133:{1,2,5}:{(101,1),(102,1),(159,1),(160,1)}
       134:{1,3,5}:{(103,1),(104,1),(161,1),(162,1)}
       135:{1,2,4,5}:{(104,1),(105,1),(110,1),(161,1),(162,1),(163,1),(165,1),(197,1),(198,1),(201,1)}
       136:{3,4,5}:{(105,1),(112,1),(162,1),(163,1)}
       137:{1,4,6,7}:{(106,1),(107,1),(113,1),(164,1),(166,1),(179,1),(199,1),(204,1)}
       138:{1,5}:{(106,1),(114,1)}
       139:{1,3,5,7}:{(107,1),(108,1),(109,1),(115,1),(164,1),(166,1),(168,1),(200,1)}
       140:{1,4,6}:{(108,1),(116,1),(161,1),(165,1),(166,1),(167,1)}
       141:{1,2,4,7}:{(109,1),(110,1),(111,1),(166,1),(168,1),(171,1),(202,1),(203,1)}
       142:{3,6}:{(110,1),(162,1),(168,1)}
       143:{3,4,7}:{(111,1),(112,1),(121,1),(168,1),(171,1)}
       144:{1,4,6}:{(112,1),(122,1),(163,1),(169,1),(171,1)}
       145:{3,5,7}:{(113,1),(114,1),(123,1),(164,1),(172,1),(173,1)}
       146:{4,5}:{(114,1),(116,1)}
       147:{4,7}:{(115,1),(116,1)}
       148:{3,6,7}:{(117,1),(118,1),(174,1)}
       149:{2,5,7}:{(118,1),(119,1),(130,1),(174,1)}
       150:{3,6,7}:{(120,1),(121,1),(175,1)}
       151:{1,5,7}:{(121,1),(122,1),(171,1),(175,1)}
       152:{2,5,6}:{(123,1),(172,1),(176,1),(209,1)}
       153:{2,4,5,7}:{(123,1),(124,1),(125,1),(173,1),(176,1),(177,1)}
       154:{3,5}:{(124,1),(126,1),(178,1)}
       155:{3,4,7}:{(125,1),(126,1),(127,1),(177,1),(179,1)}
       156:{1,4,6}:{(126,1),(128,1),(131,1),(178,1),(179,1),(204,1)}
       157:{1,3,7}:{(127,1),(128,1),(179,1),(180,1)}
       158:{2,3,7}:{(127,1),(129,1),(130,1),(180,1)}
       159:{1,2,6}:{(128,1),(129,1),(133,1),(180,1)}
       160:{1,2,4}:{(131,1),(132,1),(133,1),(181,1)}
       161:{1,4}:{(134,1),(182,1)}
       162:{3,5}:{(135,1),(142,1),(182,1)}
       163:{1,4,5}:{(136,1),(144,1),(183,1)}
       164:{1,5,7}:{(137,1),(138,1),(145,1),(185,1)}
       165:{1,4,5}:{(138,1),(140,1),(146,1),(187,1)}
       166:{1,4,7}:{(139,1),(140,1),(147,1),(188,1)}
       167:{3,4,6}:{(140,1),(142,1),(182,1),(187,1),(188,1),(189,1),(206,1)}
       168:{3,7}:{(141,1),(142,1)}
       169:{1,3,6}:{(142,1),(144,1),(183,1),(190,1),(192,1)}
       170:{2,3,6}:{(142,1),(184,1),(189,1),(191,1),(192,1)}
       171:{1,4,7}:{(143,1),(144,1),(151,1),(190,1)}
       172:{3,5,6}:{(145,1),(152,1),(185,1),(193,1),(194,1),(206,1)}
       173:{4,5,7}:{(145,1),(146,1),(147,1),(193,1)}
       174:{2,6,7}:{(148,1),(149,1)}
       175:{1,6,7}:{(150,1),(151,1)}
       176:{2,4,6}:{(152,1),(153,1),(193,1),(194,1)}
       177:{3,5,7}:{(153,1),(154,1),(155,1),(194,1),(195,1)}
       178:{1,5}:{(154,1),(156,1)}
       179:{1,4,7}:{(155,1),(156,1),(157,1),(195,1)}
       180:{1,2,7}:{(157,1),(158,1),(159,1)}
       181:{1,3}:{(160,1)}
       182:{3,4}:{(161,1),(162,1),(197,1)}
       183:{1,3,5}:{(162,1),(163,1),(169,1),(196,1),(198,1)}
       184:{2,3,5}:{(162,1),(170,1),(197,1),(198,1),(201,1),(208,1)}
       185:{1,5,6}:{(164,1),(172,1),(199,1),(204,1)}
       186:{1,4,5,7}:{(164,1),(165,1),(166,1),(173,1),(199,1),(200,1)}
       187:{3,5}:{(165,1),(167,1),(201,1)}
       188:{3,4,7}:{(166,1),(167,1),(168,1),(200,1),(202,1)}
       189:{2,4,6}:{(167,1),(170,1),(197,1),(201,1),(202,1),(209,1)}
       190:{1,3,7}:{(168,1),(169,1),(171,1),(203,1)}
       191:{2,3,7}:{(168,1),(170,1),(202,1),(203,1)}
       192:{1,2,6}:{(169,1),(170,1),(198,1),(203,1)}
       193:{4,6}:{(172,1),(173,1)}
       194:{3,6}:{(176,1),(177,1),(204,1)}
       195:{1,5,7}:{(177,1),(178,1),(179,1),(204,1)}
       196:{1,3,4}:{(182,1),(183,1),(205,1)}
       197:{2,4}:{(182,1),(184,1)}
       198:{1,2,5}:{(183,1),(184,1),(192,1),(205,1)}
       199:{1,4,6}:{(185,1),(186,1),(193,1),(206,1)}
       200:{3,5,7}:{(186,1),(187,1),(188,1),(206,1),(207,1)}
       201:{2,5}:{(187,1),(189,1)}
       202:{2,4,7}:{(188,1),(189,1),(191,1),(207,1)}
       203:{1,2,7}:{(190,1),(191,1),(192,1)}
       204:{1,6}:{(194,1),(195,1)}
       205:{1,2,4}:{(196,1),(197,1),(198,1),(208,1)}
       206:{3,6}:{(199,1),(200,1),(209,1)}
       207:{2,5,7}:{(200,1),(201,1),(202,1),(209,1)}
       208:{2,3}:{(205,1)}
       209:{2,6}:{(206,1),(207,1)}

 380 :  0:{1,3,4}:{(2,1),(3,1),(46,1)}
        1:{3,4,5}:{(5,1),(6,1),(7,1),(31,1),(71,1)}
        2:{1,3,5}:{(0,1),(6,1),(8,1),(9,1),(31,1)}
        3:{1,2,4}:{(0,1),(9,1),(10,1),(34,1)}
        4:{4,5,6}:{(12,1),(13,1),(63,1),(83,1)}
        5:{3,4,6}:{(1,1),(12,1),(14,1),(15,1),(16,1),(44,1),(63,1)}
        6:{1,4,5}:{(1,1),(2,1),(14,1)}
        7:{2,4,5}:{(1,1),(11,1),(15,1)}
        8:{1,3,6}:{(2,1),(14,1),(18,1),(19,1),(44,1)}
        9:{1,2,5}:{(2,1),(3,1),(18,1),(20,1)}
       10:{2,3}:{(3,1)}
       11:{2,3,5}:{(7,1),(21,1),(22,1),(23,1),(31,1)}
       12:{3,5,6}:{(4,1),(5,1),(24,1),(25,1),(26,1)}
       13:{4,5,7}:{(4,1),(26,1),(27,1),(72,1),(82,1)}
       14:{1,4,6}:{(5,1),(6,1),(8,1),(24,1),(29,1)}
       15:{2,4,6}:{(5,1),(7,1),(22,1),(25,1),(30,1)}
       16:{3,4,7}:{(5,1),(26,1),(29,1),(30,1),(58,1),(72,1)}
       17:{1,2,4,5}:{(6,1),(7,1),(9,1),(23,1),(28,1),(31,1),(34,1),(52,1),(59,1),(69,1),(71,1)}
       18:{1,2,6}:{(8,1),(9,1),(32,1),(33,1)}
       19:{1,3,7}:{(8,1),(29,1),(33,1),(58,1)}
       20:{2,3,5}:{(9,1),(10,1),(31,1),(32,1),(34,1),(59,1)}
       21:{2,3,4}:{(11,1),(35,1),(46,1)}
       22:{2,3,6}:{(11,1),(15,1),(36,1),(37,1),(44,1)}
       23:{1,2,5}:{(11,1),(35,1),(36,1),(38,1)}
       24:{1,5,6}:{(12,1),(14,1),(40,1)}
       25:{2,5,6}:{(12,1),(15,1),(41,1)}
       26:{3,5,7}:{(12,1),(13,1),(16,1),(40,1),(41,1),(42,1)}
       27:{4,6,7}:{(13,1),(42,1),(43,1)}
       28:{1,2,4,6}:{(14,1),(15,1),(17,1),(18,1),(36,1),(39,1),(44,1),(45,1),(47,1),(61,1),(63,1)}
       29:{1,4,7}:{(14,1),(16,1),(19,1),(40,1)}
       30:{2,4,7}:{(15,1),(16,1),(37,1),(41,1)}
       31:{3,5}:{(17,1),(44,1),(46,1)}
       32:{2,3,6}:{(18,1),(20,1),(44,1),(47,1),(48,1)}
       33:{1,2,7}:{(18,1),(19,1),(48,1)}
       34:{2,4}:{(20,1),(46,1)}
       35:{1,2,4}:{(21,1),(23,1),(49,1),(52,1)}
       36:{1,2,6}:{(22,1),(23,1),(50,1),(51,1)}
       37:{2,3,7}:{(22,1),(30,1),(51,1),(58,1)}
       38:{1,3,5}:{(23,1),(31,1),(49,1),(50,1),(52,1),(69,1)}
       39:{1,2,5,6}:{(24,1),(25,1),(28,1),(53,1),(54,1),(59,1),(69,1),(75,1),(80,1)}
       40:{1,5,7}:{(24,1),(26,1),(29,1),(55,1)}
       41:{2,5,7}:{(25,1),(26,1),(30,1),(56,1)}
       42:{3,6,7}:{(26,1),(27,1),(55,1),(56,1)}
       43:{5,6,7}:{(27,1),(82,1)}
       44:{3,6}:{(28,1),(31,1),(58,1)}
       45:{1,2,4,7}:{(28,1),(29,1),(30,1),(33,1),(51,1),(54,1),(58,1),(60,1),(70,1),(72,1)}
       46:{3,4}:{(31,1),(34,1),(52,1)}
       47:{2,4,6}:{(32,1),(34,1),(57,1),(59,1),(60,1),(75,1)}
       48:{2,3,7}:{(32,1),(33,1),(58,1),(60,1)}
       49:{1,3}:{(35,1)}
       50:{1,3,6}:{(36,1),(38,1),(44,1),(61,1),(62,1)}
       51:{1,2,7}:{(36,1),(37,1),(62,1)}
       52:{1,4}:{(38,1),(46,1)}
       53:{3,5,6}:{(39,1),(44,1),(63,1),(64,1),(66,1),(79,1),(83,1)}
       54:{1,2,5,7}:{(39,1),(40,1),(41,1),(45,1),(64,1),(65,1),(68,1),(76,1)}
       55:{1,6,7}:{(40,1),(42,1)}
       56:{2,6,7}:{(41,1),(42,1)}
       57:{3,4,6}:{(44,1),(46,1),(47,1),(61,1),(63,1),(66,1),(67,1),(79,1)}
       58:{3,7}:{(44,1),(45,1)}
       59:{2,5}:{(47,1),(66,1)}
       60:{2,4,7}:{(47,1),(48,1),(67,1),(68,1)}
       61:{1,4,6}:{(50,1),(52,1),(57,1),(69,1),(70,1),(80,1)}
       62:{1,3,7}:{(50,1),(51,1),(58,1),(70,1)}
       63:{4,6}:{(53,1),(71,1),(72,1)}
       64:{3,5,7}:{(53,1),(54,1),(58,1),(72,1),(73,1),(82,1)}
       65:{1,2,6,7}:{(54,1),(55,1),(56,1),(73,1),(75,1),(80,1)}
       66:{3,5}:{(57,1),(59,1),(69,1),(71,1)}
       67:{3,4,7}:{(57,1),(58,1),(60,1),(70,1),(72,1),(74,1)}
       68:{2,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{1,5}:{(61,1),(66,1)}
       70:{1,4,7}:{(61,1),(62,1),(67,1),(76,1)}
       71:{4,5}:{(63,1),(66,1)}
       72:{4,7}:{(63,1),(64,1)}
       73:{3,6,7}:{(64,1),(65,1),(78,1),(79,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(77,1),(79,1)}
       75:{2,6}:{(68,1),(79,1)}
       76:{1,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,5,7}:{(71,1),(72,1),(74,1),(81,1),(82,1)}
       78:{4,6,7}:{(72,1),(73,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(81,1)}
       80:{1,6}:{(76,1),(79,1)}
       81:{4,6}:{(77,1),(79,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 381 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(11,1),(19,1),(39,1),(45,1),(85,1),(98,1)}
         1:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(27,1),(31,1),(72,1)}
         2:{2,3,5}:{(0,1),(6,1),(8,1),(29,1),(108,1),(124,1)}
         3:{2,3,4,7}:{(0,1),(7,1),(9,1),(25,1),(64,1),(71,1),(111,1),(206,1)}
         4:{2,3,5,6}:{(2,1),(10,1),(11,1),(12,1),(19,1),(35,1),(39,1),(54,1),(103,1)}
         5:{1,3,6}:{(1,1),(13,1),(14,1),(39,1)}
         6:{1,2,5}:{(1,1),(2,1),(13,1),(99,1)}
         7:{1,2,4,7}:{(1,1),(3,1),(14,1),(16,1),(46,1),(208,1)}
         8:{2,4,5}:{(2,1),(11,1),(17,1),(146,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(16,1),(18,1),(19,1),(50,1),(132,1),(198,1),(201,1)}
        10:{1,2,5,6}:{(4,1),(6,1),(21,1),(22,1),(23,1),(31,1),(55,1),(108,1),(152,1)}
        11:{2,4,6}:{(4,1),(8,1),(24,1),(25,1),(128,1)}
        12:{2,3,5,7}:{(4,1),(23,1),(25,1),(26,1),(56,1),(64,1),(68,1),(117,1)}
        13:{1,3,5}:{(5,1),(6,1),(27,1),(29,1)}
        14:{1,3,7}:{(5,1),(7,1),(64,1),(209,1)}
        15:{1,2,4,5}:{(6,1),(8,1),(22,1),(27,1),(29,1),(32,1),(58,1),(70,1),(73,1),(108,1)}
        16:{1,2,5,7}:{(6,1),(7,1),(9,1),(28,1),(31,1),(204,1),(207,1)}
        17:{3,4,5}:{(8,1),(24,1),(29,1),(32,1)}
        18:{2,4,5,7}:{(8,1),(9,1),(25,1),(33,1),(34,1),(68,1),(187,1),(191,1)}
        19:{2,3,6}:{(9,1),(31,1),(34,1),(76,1),(152,1)}
        20:{2,4,5,6}:{(11,1),(35,1),(36,1),(54,1),(105,1)}
        21:{1,3,5,6}:{(10,1),(13,1),(37,1),(38,1),(39,1),(47,1),(83,1),(99,1),(103,1),(133,1),(134,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(15,1),(37,1),(39,1),(40,1),(42,1),(85,1),(88,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(38,1),(40,1),(41,1),(80,1),(132,1)}
        24:{3,4,6}:{(11,1),(17,1),(35,1),(39,1),(42,1),(43,1)}
        25:{2,4,7}:{(11,1),(12,1),(43,1),(140,1)}
        26:{2,3,6,7}:{(12,1),(19,1),(41,1),(44,1),(81,1),(91,1),(198,1)}
        27:{1,4}:{(13,1),(45,1)}
        28:{1,3,5,7}:{(13,1),(14,1),(16,1),(46,1),(47,1),(50,1),(99,1),(196,1),(197,1),(200,1)}
        29:{3,5}:{(15,1),(39,1),(45,1)}
        30:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(40,1),(46,1),(50,1),(51,1),(52,1),(84,1),(92,1),(97,1),(99,1),(100,1),(132,1),(140,1),(145,1),(146,1),(171,1),(172,1),(177,1),(196,1)}
        31:{1,2,6}:{(16,1),(19,1),(47,1)}
        32:{1,4,5}:{(17,1),(42,1),(48,1)}
        33:{3,4,5,7}:{(17,1),(18,1),(43,1),(50,1),(52,1),(53,1),(94,1),(140,1),(146,1),(173,1),(178,1)}
        34:{2,4,6}:{(18,1),(19,1),(53,1),(54,1)}
        35:{3,5,6}:{(20,1),(24,1),(55,1),(56,1)}
        36:{2,4,5,7}:{(20,1),(25,1),(56,1),(57,1),(68,1),(119,1)}
        37:{1,4,6}:{(21,1),(27,1),(58,1),(59,1),(60,1),(128,1)}
        38:{1,3,5,7}:{(21,1),(23,1),(60,1),(61,1),(64,1),(109,1),(113,1),(117,1)}
        39:{3,6}:{(22,1),(29,1),(64,1)}
        40:{1,2,4,7}:{(22,1),(23,1),(25,1),(60,1),(64,1),(66,1),(111,1),(114,1)}
        41:{1,2,6,7}:{(23,1),(26,1),(31,1),(61,1),(106,1),(152,1),(204,1)}
        42:{1,4,6}:{(24,1),(32,1),(55,1),(62,1),(66,1)}
        43:{3,4,7}:{(24,1),(25,1),(56,1),(64,1),(66,1)}
        44:{2,4,6,7}:{(25,1),(26,1),(34,1),(67,1),(68,1),(183,1),(187,1)}
        45:{3,4}:{(27,1),(29,1),(70,1)}
        46:{1,4,7}:{(27,1),(28,1),(71,1),(72,1),(205,1)}
        47:{1,3,6}:{(28,1),(31,1),(72,1),(76,1),(203,1)}
        48:{1,3,5}:{(29,1),(32,1),(62,1),(69,1),(73,1)}
        49:{2,3,5}:{(29,1),(63,1),(70,1),(73,1),(108,1),(120,1)}
        50:{3,5,7}:{(29,1),(30,1),(64,1),(71,1),(76,1),(124,1),(186,1),(190,1)}
        51:{1,2,4,6}:{(30,1),(31,1),(34,1),(72,1),(76,1),(77,1),(78,1),(110,1),(123,1),(125,1),(128,1),(152,1),(184,1),(203,1)}
        52:{1,4,5,7}:{(32,1),(33,1),(66,1),(74,1),(78,1),(118,1),(157,1),(162,1)}
        53:{3,4,6}:{(33,1),(34,1),(76,1),(78,1),(79,1),(128,1)}
        54:{2,5,6}:{(34,1),(68,1),(79,1)}
        55:{1,5,6}:{(35,1),(42,1),(80,1)}
        56:{3,5,7}:{(35,1),(36,1),(43,1),(80,1),(81,1)}
        57:{2,4,6,7}:{(36,1),(81,1),(82,1),(131,1)}
        58:{1,4,5}:{(37,1),(83,1),(99,1),(146,1)}
        59:{3,4,6}:{(37,1),(39,1),(45,1),(83,1),(85,1),(86,1),(133,1)}
        60:{1,4,7}:{(37,1),(38,1),(86,1),(140,1)}
        61:{1,3,6,7}:{(38,1),(41,1),(47,1),(87,1),(91,1),(133,1),(197,1)}
        62:{1,3,6}:{(39,1),(42,1),(48,1),(88,1),(89,1)}
        63:{2,3,6}:{(39,1),(49,1),(85,1),(88,1),(90,1)}
        64:{3,7}:{(39,1),(40,1)}
        65:{1,2,4,6,7}:{(40,1),(41,1),(44,1),(51,1),(87,1),(91,1),(92,1),(93,1),(135,1),(137,1),(140,1),(172,1)}
        66:{1,4,7}:{(42,1),(43,1),(80,1),(89,1)}
        67:{3,4,6,7}:{(43,1),(44,1),(53,1),(81,1),(91,1),(93,1),(94,1),(131,1),(140,1),(168,1),(173,1)}
        68:{2,5,7}:{(44,1),(54,1),(94,1)}
        69:{1,3,4}:{(45,1),(48,1),(95,1)}
        70:{2,4}:{(45,1),(49,1)}
        71:{3,4,7}:{(45,1),(46,1),(50,1),(97,1),(98,1),(140,1),(199,1)}
        72:{1,4,6}:{(46,1),(47,1),(98,1),(99,1)}
        73:{1,2,5}:{(48,1),(49,1),(88,1),(95,1)}
        74:{1,3,5,7}:{(48,1),(50,1),(52,1),(89,1),(96,1),(100,1),(101,1),(144,1),(196,1)}
        75:{2,3,5,7}:{(49,1),(50,1),(90,1),(97,1),(100,1),(102,1),(132,1),(142,1),(145,1),(176,1)}
        76:{3,6}:{(50,1),(51,1)}
        77:{1,2,5,6}:{(51,1),(54,1),(92,1),(99,1),(103,1),(104,1),(134,1),(145,1),(169,1)}
        78:{1,4,6}:{(52,1),(53,1),(101,1),(104,1)}
        79:{3,5,6}:{(53,1),(54,1),(94,1),(104,1),(105,1)}
        80:{1,5,7}:{(55,1),(56,1),(66,1),(106,1)}
        81:{3,6,7}:{(56,1),(57,1),(106,1)}
        82:{2,5,6,7}:{(57,1),(68,1),(107,1),(183,1)}
        83:{3,5}:{(58,1),(59,1),(108,1)}
        84:{1,4,5,7}:{(58,1),(60,1),(109,1),(110,1),(113,1),(155,1)}
        85:{2,4,6}:{(59,1),(63,1),(70,1),(108,1),(111,1),(152,1)}
        86:{3,4,7}:{(59,1),(60,1),(64,1),(109,1),(111,1)}
        87:{1,4,6,7}:{(60,1),(61,1),(72,1),(110,1),(112,1),(113,1),(188,1),(203,1)}
        88:{1,2,6}:{(62,1),(63,1),(73,1),(114,1)}
        89:{1,3,7}:{(62,1),(64,1),(66,1),(114,1)}
        90:{2,3,7}:{(63,1),(64,1),(111,1),(114,1)}
        91:{3,6,7}:{(64,1),(65,1),(76,1),(117,1),(186,1)}
        92:{1,2,5,7}:{(65,1),(68,1),(77,1),(113,1),(117,1),(118,1),(154,1)}
        93:{1,4,6,7}:{(66,1),(67,1),(78,1),(106,1),(115,1),(118,1),(157,1)}
        94:{3,5,7}:{(67,1),(68,1),(79,1),(118,1),(119,1)}
        95:{1,2,4}:{(69,1),(70,1),(73,1),(120,1)}
        96:{1,3,4,7}:{(69,1),(71,1),(74,1),(121,1),(122,1),(157,1),(186,1),(188,1)}
        97:{2,4,7}:{(70,1),(71,1),(75,1),(123,1),(189,1)}
        98:{3,4,6}:{(71,1),(72,1),(76,1),(123,1),(124,1),(128,1)}
        99:{1,5}:{(72,1),(124,1)}
       100:{1,2,5,7}:{(73,1),(74,1),(75,1),(114,1),(121,1),(125,1),(161,1)}
       101:{1,3,6}:{(74,1),(76,1),(78,1),(125,1),(203,1)}
       102:{2,3,6}:{(75,1),(76,1),(123,1),(125,1),(152,1)}
       103:{3,5,6}:{(76,1),(77,1),(117,1),(124,1),(128,1)}
       104:{1,5,6}:{(78,1),(79,1),(118,1)}
       105:{4,5,6}:{(79,1),(119,1),(128,1)}
       106:{1,6,7}:{(80,1),(81,1)}
       107:{3,5,6,7}:{(81,1),(82,1),(94,1),(130,1),(131,1),(168,1)}
       108:{2,5}:{(83,1),(85,1)}
       109:{3,5,7}:{(83,1),(84,1),(86,1),(132,1),(133,1)}
       110:{1,4,6}:{(84,1),(133,1),(134,1),(170,1)}
       111:{2,4,7}:{(85,1),(86,1),(90,1),(132,1)}
       112:{3,4,6,7}:{(86,1),(87,1),(91,1),(98,1),(133,1),(135,1),(136,1),(140,1),(170,1),(174,1),(195,1)}
       113:{1,5,7}:{(87,1),(99,1),(134,1),(136,1)}
       114:{1,2,7}:{(88,1),(89,1),(90,1)}
       115:{1,3,6,7}:{(89,1),(91,1),(93,1),(101,1),(137,1),(138,1),(168,1)}
       116:{2,3,6,7}:{(90,1),(91,1),(102,1),(135,1),(137,1),(139,1),(195,1)}
       117:{3,5,7}:{(91,1),(92,1),(103,1),(140,1)}
       118:{1,5,7}:{(93,1),(94,1),(104,1)}
       119:{4,5,7}:{(94,1),(105,1),(131,1),(140,1)}
       120:{2,3}:{(95,1)}
       121:{1,2,4,7}:{(95,1),(96,1),(97,1),(100,1),(142,1),(143,1)}
       122:{1,3,4,6}:{(96,1),(98,1),(101,1),(143,1),(144,1),(148,1),(180,1),(182,1),(199,1)}
       123:{2,4,6}:{(97,1),(98,1),(102,1),(145,1)}
       124:{3,5}:{(98,1),(99,1),(145,1),(146,1)}
       125:{1,2,6}:{(100,1),(101,1),(102,1)}
       126:{1,3,5,6}:{(101,1),(103,1),(104,1),(138,1),(144,1),(147,1),(148,1),(150,1),(180,1)}
       127:{2,3,5,6}:{(102,1),(103,1),(139,1),(145,1),(147,1),(149,1),(169,1),(176,1),(179,1),(180,1),(195,1)}
       128:{4,6}:{(103,1),(140,1),(146,1)}
       129:{1,4,5,6}:{(104,1),(105,1),(141,1),(148,1),(150,1)}
       130:{1,5,6,7}:{(106,1),(107,1),(118,1),(151,1)}
       131:{4,6,7}:{(107,1),(119,1)}
       132:{2,5,7}:{(108,1),(109,1),(111,1),(152,1)}
       133:{3,6}:{(109,1),(110,1),(152,1)}
       134:{1,5,6}:{(110,1),(113,1),(153,1),(203,1)}
       135:{2,4,6,7}:{(111,1),(112,1),(116,1),(123,1),(152,1),(154,1),(158,1),(184,1)}
       136:{3,5,7}:{(112,1),(113,1),(124,1),(153,1),(154,1),(155,1)}
       137:{1,2,6,7}:{(114,1),(115,1),(116,1),(125,1),(156,1),(183,1),(203,1)}
       138:{1,3,5,7}:{(115,1),(117,1),(118,1),(126,1),(156,1),(157,1),(159,1),(186,1)}
       139:{2,3,5,7}:{(116,1),(117,1),(127,1),(154,1),(156,1),(158,1),(185,1),(186,1)}
       140:{4,7}:{(117,1),(128,1)}
       141:{1,4,5,7}:{(118,1),(119,1),(129,1),(151,1),(157,1),(159,1)}
       142:{2,3,7}:{(120,1),(121,1),(160,1),(186,1)}
       143:{1,2,4,6}:{(121,1),(122,1),(123,1),(125,1),(160,1),(161,1),(189,1)}
       144:{1,3,5}:{(122,1),(124,1),(161,1),(162,1),(190,1),(192,1)}
       145:{2,5}:{(123,1),(124,1)}
       146:{4,5}:{(124,1),(128,1)}
       147:{1,2,5,6}:{(125,1),(126,1),(127,1),(156,1),(161,1),(164,1),(167,1),(192,1),(203,1)}
       148:{1,4,6}:{(126,1),(128,1),(157,1),(162,1),(165,1)}
       149:{2,4,6}:{(127,1),(128,1),(158,1),(163,1),(166,1),(189,1)}
       150:{3,5,6}:{(129,1),(159,1),(165,1),(167,1)}
       151:{1,4,6,7}:{(130,1),(131,1),(141,1),(168,1)}
       152:{2,6}:{(132,1),(133,1)}
       153:{3,5,6}:{(133,1),(134,1),(136,1),(169,1),(170,1),(195,1)}
       154:{2,5,7}:{(135,1),(136,1),(145,1),(169,1)}
       155:{4,5,7}:{(136,1),(140,1),(146,1),(170,1)}
       156:{1,2,5,7}:{(137,1),(138,1),(139,1),(147,1),(172,1),(175,1),(196,1)}
       157:{1,4,7}:{(138,1),(140,1),(148,1),(173,1)}
       158:{2,4,7}:{(139,1),(140,1),(149,1),(174,1)}
       159:{3,5,7}:{(141,1),(150,1),(168,1),(173,1),(175,1)}
       160:{2,3,6}:{(142,1),(143,1),(176,1),(180,1)}
       161:{1,2,5}:{(143,1),(144,1),(145,1),(176,1)}
       162:{1,4,5}:{(144,1),(146,1),(148,1),(178,1)}
       163:{2,4,5}:{(145,1),(146,1),(149,1),(179,1)}
       164:{1,2,4,6}:{(147,1),(148,1),(149,1),(172,1),(177,1),(180,1),(181,1),(182,1),(202,1)}
       165:{3,4,6}:{(148,1),(150,1),(173,1),(178,1),(180,1),(181,1)}
       166:{3,4,6}:{(149,1),(174,1),(179,1),(180,1),(182,1),(195,1),(199,1)}
       167:{2,5,6}:{(150,1),(175,1),(181,1)}
       168:{3,6,7}:{(151,1),(159,1),(183,1)}
       169:{2,5,6}:{(152,1),(153,1),(154,1),(184,1)}
       170:{4,6}:{(153,1),(155,1)}
       171:{2,4,5,7}:{(154,1),(155,1),(158,1),(163,1),(184,1),(185,1)}
       172:{1,2,4,7}:{(156,1),(157,1),(158,1),(164,1),(186,1),(187,1),(188,1),(204,1)}
       173:{3,4,7}:{(157,1),(159,1),(165,1),(186,1),(187,1)}
       174:{3,4,7}:{(158,1),(166,1),(185,1),(186,1),(188,1)}
       175:{2,5,7}:{(159,1),(167,1),(183,1),(187,1)}
       176:{2,3,5}:{(160,1),(161,1),(189,1),(190,1)}
       177:{1,2,4,5}:{(161,1),(162,1),(163,1),(164,1),(189,1),(190,1),(191,1),(192,1),(205,1),(207,1)}
       178:{3,4,5}:{(162,1),(165,1),(190,1),(191,1)}
       179:{3,5}:{(163,1),(166,1),(192,1)}
       180:{3,6}:{(164,1),(186,1),(190,1)}
       181:{2,4,6}:{(165,1),(167,1),(187,1),(191,1),(194,1)}
       182:{1,4,6}:{(166,1),(188,1),(192,1),(193,1),(203,1),(205,1)}
       183:{2,6,7}:{(168,1),(175,1)}
       184:{2,4,6}:{(169,1),(170,1),(171,1),(195,1)}
       185:{3,5,7}:{(171,1),(174,1),(179,1),(195,1),(196,1)}
       186:{3,7}:{(172,1),(180,1)}
       187:{2,4,7}:{(173,1),(175,1),(181,1),(198,1)}
       188:{1,4,7}:{(174,1),(182,1),(196,1),(197,1)}
       189:{2,4}:{(176,1),(199,1)}
       190:{3,5}:{(177,1),(180,1),(199,1)}
       191:{2,4,5}:{(178,1),(181,1),(201,1)}
       192:{1,5}:{(179,1),(182,1)}
       193:{1,3,6}:{(180,1),(182,1),(197,1),(200,1),(202,1)}
       194:{2,3,6}:{(180,1),(181,1),(198,1),(201,1),(202,1)}
       195:{3,6}:{(184,1),(185,1),(203,1)}
       196:{1,5,7}:{(185,1),(188,1),(192,1),(203,1)}
       197:{1,3,7}:{(186,1),(188,1),(193,1),(204,1)}
       198:{2,3,7}:{(186,1),(187,1),(194,1),(204,1)}
       199:{3,4}:{(189,1),(190,1),(205,1)}
       200:{1,3,5}:{(190,1),(192,1),(193,1),(205,1),(207,1),(209,1)}
       201:{2,3,5}:{(190,1),(191,1),(194,1),(206,1),(207,1)}
       202:{1,2,6}:{(193,1),(194,1),(204,1),(207,1)}
       203:{1,6}:{(195,1),(196,1)}
       204:{1,2,7}:{(197,1),(198,1),(202,1)}
       205:{1,4}:{(199,1),(200,1)}
       206:{2,3,4}:{(199,1),(201,1),(208,1)}
       207:{1,2,5}:{(200,1),(201,1),(202,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{1,3}:{(208,1)}

 382 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(52,1),(67,1),(127,1),(179,1),(197,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(7,1),(29,1),(35,1),(45,1),(98,1),(136,1),(143,1),(146,1),(147,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(12,1),(29,1),(184,1),(191,1),(195,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(37,1),(205,1)}
         4:{2,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(42,1),(81,1),(97,1),(100,1),(156,1)}
         5:{1,4,5,7}:{(1,1),(13,1),(15,1),(56,1),(71,1),(105,1),(111,1),(130,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(16,1),(25,1),(58,1),(67,1),(163,1),(171,1)}
         7:{3,4,6}:{(1,1),(15,1),(16,1),(18,1),(53,1),(116,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(19,1),(20,1),(24,1),(198,1),(203,1)}
         9:{2,3,6}:{(2,1),(16,1),(20,1),(53,1),(204,1)}
        10:{1,3,7}:{(3,1),(23,1),(127,1),(208,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(20,1),(23,1),(24,1),(62,1),(69,1)}
        12:{2,3,5}:{(4,1),(24,1),(25,1),(70,1),(114,1),(178,1)}
        13:{1,3,5,7}:{(5,1),(26,1),(27,1),(28,1),(29,1),(74,1),(101,1),(157,1),(207,1)}
        14:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(27,1),(29,1),(30,1),(37,1),(44,1),(75,1),(84,1),(93,1),(96,1),(135,1),(138,1),(141,1),(146,1),(147,1),(153,1),(186,1),(195,1),(207,1)}
        15:{1,4,6}:{(5,1),(7,1),(28,1),(32,1)}
        16:{2,4,6}:{(6,1),(7,1),(9,1),(34,1)}
        17:{3,4,6,7}:{(7,1),(31,1),(33,1),(35,1),(82,1),(91,1),(98,1),(143,1),(147,1),(148,1),(150,1)}
        18:{3,5,6}:{(7,1),(32,1),(34,1),(35,1),(36,1)}
        19:{1,3,5,7}:{(8,1),(10,1),(29,1),(37,1),(38,1),(43,1),(93,1),(183,1),(190,1),(207,1)}
        20:{1,2,6}:{(8,1),(9,1),(38,1)}
        21:{2,3,6,7}:{(9,1),(33,1),(39,1),(41,1),(82,1),(150,1),(191,1)}
        22:{2,3,5,6}:{(9,1),(12,1),(34,1),(40,1),(41,1),(42,1),(83,1),(90,1),(97,1)}
        23:{1,3,6}:{(10,1),(11,1),(43,1),(97,1)}
        24:{1,2,5}:{(11,1),(12,1),(43,1),(93,1)}
        25:{2,4,5}:{(12,1),(42,1),(45,1),(146,1)}
        26:{1,3,4,7}:{(13,1),(46,1),(47,1),(52,1),(111,1),(131,1),(168,1),(202,1)}
        27:{1,2,5,7}:{(13,1),(46,1),(48,1),(49,1),(104,1),(133,1),(180,1)}
        28:{1,3,6}:{(13,1),(15,1),(49,1),(53,1),(209,1)}
        29:{3,5,7}:{(14,1),(52,1),(53,1),(70,1),(114,1),(127,1),(162,1),(168,1)}
        30:{1,2,4,6}:{(14,1),(15,1),(16,1),(20,1),(49,1),(53,1),(55,1),(62,1),(106,1),(116,1),(176,1),(199,1),(204,1),(209,1)}
        31:{1,4,6,7}:{(15,1),(17,1),(50,1),(56,1),(111,1),(130,1),(175,1)}
        32:{1,5,6}:{(15,1),(18,1),(56,1)}
        33:{2,4,6,7}:{(16,1),(17,1),(21,1),(58,1),(67,1),(171,1),(174,1)}
        34:{2,5,6}:{(16,1),(18,1),(58,1)}
        35:{3,5,7}:{(17,1),(18,1),(56,1),(58,1),(61,1)}
        36:{4,5,6}:{(18,1),(61,1),(116,1)}
        37:{1,4,7}:{(19,1),(52,1),(62,1),(69,1),(196,1)}
        38:{1,3,6}:{(19,1),(20,1),(53,1),(62,1),(209,1)}
        39:{1,2,6,7}:{(20,1),(21,1),(63,1),(65,1),(175,1),(203,1),(204,1)}
        40:{1,2,5,6}:{(20,1),(22,1),(24,1),(64,1),(65,1),(66,1),(122,1),(178,1),(204,1)}
        41:{2,3,5,7}:{(21,1),(22,1),(58,1),(65,1),(67,1),(115,1),(121,1),(127,1)}
        42:{2,4,6}:{(22,1),(25,1),(67,1),(68,1),(116,1)}
        43:{1,3,5}:{(23,1),(24,1),(69,1),(70,1)}
        44:{1,2,4,5}:{(24,1),(25,1),(66,1),(69,1),(70,1),(71,1),(124,1),(132,1),(133,1),(178,1)}
        45:{3,4,5}:{(25,1),(68,1),(70,1),(71,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(72,1),(73,1),(75,1),(160,1)}
        47:{1,3,4,6}:{(26,1),(28,1),(73,1),(74,1),(80,1),(81,1),(142,1),(182,1),(189,1)}
        48:{2,3,5,7}:{(27,1),(29,1),(72,1),(75,1),(76,1),(102,1),(134,1),(138,1),(158,1),(195,1)}
        49:{1,2,6}:{(27,1),(28,1),(76,1)}
        50:{1,3,6,7}:{(28,1),(31,1),(77,1),(79,1),(82,1),(148,1),(157,1)}
        51:{1,3,5,6}:{(28,1),(32,1),(74,1),(78,1),(79,1),(80,1),(83,1),(87,1),(142,1)}
        52:{3,4,7}:{(29,1),(37,1),(75,1),(81,1),(100,1),(147,1),(182,1)}
        53:{3,6}:{(29,1),(30,1)}
        54:{1,2,4,6,7}:{(30,1),(31,1),(33,1),(39,1),(77,1),(82,1),(84,1),(92,1),(96,1),(137,1),(141,1),(147,1)}
        55:{1,2,5,6}:{(30,1),(32,1),(34,1),(83,1),(84,1),(93,1),(138,1),(152,1),(185,1)}
        56:{1,5,7}:{(31,1),(32,1),(35,1)}
        57:{1,4,5,6}:{(32,1),(36,1),(80,1),(86,1),(87,1)}
        58:{2,5,7}:{(33,1),(34,1),(35,1)}
        59:{2,4,5,6}:{(34,1),(36,1),(42,1),(89,1),(90,1)}
        60:{3,5,6,7}:{(35,1),(85,1),(88,1),(91,1),(148,1),(150,1)}
        61:{4,5,7}:{(35,1),(36,1),(91,1),(147,1)}
        62:{1,4,6}:{(37,1),(38,1),(81,1),(93,1)}
        63:{1,3,6,7}:{(38,1),(39,1),(82,1),(92,1),(94,1),(190,1),(194,1)}
        64:{1,3,5,6}:{(38,1),(40,1),(43,1),(83,1),(93,1),(94,1),(95,1),(97,1),(152,1),(154,1),(194,1)}
        65:{1,2,5,7}:{(39,1),(40,1),(41,1),(94,1),(96,1),(151,1),(195,1)}
        66:{1,2,4,6}:{(40,1),(42,1),(44,1),(95,1),(96,1),(97,1),(99,1),(156,1),(159,1)}
        67:{2,4,7}:{(41,1),(42,1),(98,1),(147,1)}
        68:{3,4,6}:{(42,1),(45,1),(90,1),(97,1),(98,1),(99,1)}
        69:{1,4}:{(43,1),(100,1)}
        70:{3,5}:{(44,1),(97,1),(100,1)}
        71:{1,4,5}:{(45,1),(99,1),(101,1)}
        72:{2,3,7}:{(46,1),(103,1),(168,1),(181,1)}
        73:{1,2,4,6}:{(46,1),(47,1),(49,1),(103,1),(104,1),(106,1),(161,1)}
        74:{1,3,5}:{(47,1),(104,1),(105,1),(114,1),(162,1),(201,1)}
        75:{2,4,7}:{(48,1),(52,1),(106,1),(132,1),(161,1)}
        76:{2,3,6}:{(48,1),(49,1),(53,1),(106,1),(204,1)}
        77:{1,2,6,7}:{(49,1),(50,1),(107,1),(109,1),(174,1),(180,1),(209,1)}
        78:{1,2,5,6}:{(49,1),(51,1),(104,1),(108,1),(109,1),(110,1),(119,1),(201,1),(209,1)}
        79:{1,3,5,7}:{(50,1),(51,1),(56,1),(109,1),(111,1),(115,1),(118,1),(168,1)}
        80:{1,4,6}:{(51,1),(105,1),(111,1),(112,1),(116,1)}
        81:{3,4,6}:{(52,1),(53,1),(62,1),(106,1),(114,1),(116,1)}
        82:{3,6,7}:{(53,1),(54,1),(115,1),(127,1),(168,1)}
        83:{3,5,6}:{(53,1),(55,1),(114,1),(115,1),(116,1)}
        84:{1,2,5,7}:{(54,1),(55,1),(56,1),(58,1),(115,1),(123,1),(164,1)}
        85:{1,5,6,7}:{(56,1),(60,1),(117,1),(175,1)}
        86:{1,4,5,7}:{(56,1),(57,1),(61,1),(111,1),(117,1),(118,1)}
        87:{3,5,6}:{(57,1),(112,1),(118,1),(119,1)}
        88:{2,5,6,7}:{(58,1),(60,1),(120,1),(174,1)}
        89:{2,4,5,7}:{(58,1),(59,1),(61,1),(67,1),(120,1),(121,1)}
        90:{3,5,6}:{(59,1),(68,1),(121,1),(122,1)}
        91:{4,6,7}:{(60,1),(61,1)}
        92:{1,4,6,7}:{(62,1),(63,1),(113,1),(123,1),(125,1),(176,1),(202,1),(209,1)}
        93:{1,5}:{(62,1),(114,1)}
        94:{1,3,5,7}:{(63,1),(64,1),(65,1),(115,1),(123,1),(125,1),(127,1),(177,1)}
        95:{1,4,6}:{(64,1),(69,1),(116,1),(124,1),(125,1),(126,1)}
        96:{1,2,4,7}:{(65,1),(66,1),(67,1),(125,1),(127,1),(130,1),(179,1),(180,1)}
        97:{3,6}:{(66,1),(70,1),(127,1)}
        98:{3,4,7}:{(67,1),(68,1),(121,1),(127,1),(130,1)}
        99:{1,4,6}:{(68,1),(71,1),(122,1),(128,1),(130,1)}
       100:{3,4}:{(69,1),(70,1),(132,1)}
       101:{1,3,5}:{(70,1),(71,1),(128,1),(131,1),(133,1)}
       102:{2,3,5}:{(70,1),(129,1),(132,1),(133,1),(178,1),(181,1)}
       103:{2,3,6}:{(72,1),(73,1),(134,1),(142,1)}
       104:{1,2,5}:{(73,1),(74,1),(134,1),(138,1)}
       105:{1,4,5}:{(74,1),(80,1),(136,1),(146,1)}
       106:{2,4,6}:{(75,1),(76,1),(81,1),(138,1)}
       107:{2,3,6,7}:{(76,1),(77,1),(82,1),(137,1),(139,1),(158,1),(206,1)}
       108:{2,3,5,6}:{(76,1),(78,1),(83,1),(134,1),(138,1),(139,1),(140,1),(142,1),(185,1),(187,1),(206,1)}
       109:{1,2,5,7}:{(77,1),(78,1),(79,1),(139,1),(141,1),(149,1),(207,1)}
       110:{1,2,4,6}:{(78,1),(80,1),(135,1),(140,1),(141,1),(142,1),(144,1),(189,1),(192,1)}
       111:{1,4,7}:{(79,1),(80,1),(143,1),(147,1)}
       112:{3,4,6}:{(80,1),(87,1),(136,1),(142,1),(143,1),(144,1)}
       113:{3,4,6,7}:{(81,1),(82,1),(92,1),(137,1),(145,1),(147,1),(155,1),(188,1),(193,1),(194,1),(206,1)}
       114:{3,5}:{(81,1),(93,1),(138,1),(146,1)}
       115:{3,5,7}:{(82,1),(83,1),(84,1),(147,1)}
       116:{4,6}:{(83,1),(146,1),(147,1)}
       117:{1,4,6,7}:{(85,1),(86,1),(91,1),(148,1)}
       118:{3,5,7}:{(86,1),(87,1),(143,1),(148,1),(149,1)}
       119:{2,5,6}:{(87,1),(144,1),(149,1)}
       120:{2,4,6,7}:{(88,1),(89,1),(91,1),(150,1)}
       121:{3,5,7}:{(89,1),(90,1),(98,1),(150,1),(151,1)}
       122:{1,5,6}:{(90,1),(99,1),(151,1)}
       123:{1,5,7}:{(92,1),(93,1),(145,1),(152,1)}
       124:{1,4,5}:{(93,1),(95,1),(146,1),(154,1)}
       125:{1,4,7}:{(94,1),(95,1),(147,1),(155,1)}
       126:{3,4,6}:{(95,1),(97,1),(100,1),(154,1),(155,1),(156,1),(194,1)}
       127:{3,7}:{(96,1),(97,1)}
       128:{1,3,6}:{(97,1),(99,1),(101,1),(157,1),(159,1)}
       129:{2,3,6}:{(97,1),(102,1),(156,1),(158,1),(159,1)}
       130:{1,4,7}:{(98,1),(99,1),(151,1),(157,1)}
       131:{1,3,4}:{(100,1),(101,1),(160,1)}
       132:{2,4}:{(100,1),(102,1)}
       133:{1,2,5}:{(101,1),(102,1),(159,1),(160,1)}
       134:{2,3,5}:{(103,1),(104,1),(161,1),(162,1)}
       135:{1,2,4,5}:{(104,1),(105,1),(110,1),(161,1),(162,1),(163,1),(165,1),(196,1),(198,1),(201,1)}
       136:{3,4,5}:{(105,1),(112,1),(162,1),(163,1)}
       137:{2,4,6,7}:{(106,1),(107,1),(113,1),(164,1),(166,1),(179,1),(199,1),(204,1)}
       138:{2,5}:{(106,1),(114,1)}
       139:{2,3,5,7}:{(107,1),(108,1),(109,1),(115,1),(164,1),(166,1),(168,1),(200,1)}
       140:{2,4,6}:{(108,1),(116,1),(161,1),(165,1),(166,1),(167,1)}
       141:{1,2,4,7}:{(109,1),(110,1),(111,1),(166,1),(168,1),(171,1),(202,1),(203,1)}
       142:{3,6}:{(110,1),(162,1),(168,1)}
       143:{3,4,7}:{(111,1),(112,1),(118,1),(168,1),(171,1)}
       144:{2,4,6}:{(112,1),(119,1),(163,1),(170,1),(171,1)}
       145:{3,5,7}:{(113,1),(114,1),(123,1),(164,1),(172,1),(173,1)}
       146:{4,5}:{(114,1),(116,1)}
       147:{4,7}:{(115,1),(116,1)}
       148:{3,6,7}:{(117,1),(118,1),(174,1)}
       149:{2,5,7}:{(118,1),(119,1),(171,1),(174,1)}
       150:{3,6,7}:{(120,1),(121,1),(175,1)}
       151:{1,5,7}:{(121,1),(122,1),(130,1),(175,1)}
       152:{1,5,6}:{(123,1),(172,1),(176,1),(209,1)}
       153:{1,4,5,7}:{(123,1),(124,1),(125,1),(173,1),(176,1),(177,1)}
       154:{3,5}:{(124,1),(126,1),(178,1)}
       155:{3,4,7}:{(125,1),(126,1),(127,1),(177,1),(179,1)}
       156:{2,4,6}:{(126,1),(129,1),(132,1),(178,1),(179,1),(204,1)}
       157:{1,3,7}:{(127,1),(128,1),(130,1),(180,1)}
       158:{2,3,7}:{(127,1),(129,1),(179,1),(180,1)}
       159:{1,2,6}:{(128,1),(129,1),(133,1),(180,1)}
       160:{1,2,4}:{(131,1),(132,1),(133,1),(181,1)}
       161:{2,4}:{(134,1),(182,1)}
       162:{3,5}:{(135,1),(142,1),(182,1)}
       163:{2,4,5}:{(136,1),(144,1),(184,1)}
       164:{2,5,7}:{(137,1),(138,1),(145,1),(185,1)}
       165:{2,4,5}:{(138,1),(140,1),(146,1),(187,1)}
       166:{2,4,7}:{(139,1),(140,1),(147,1),(188,1)}
       167:{3,4,6}:{(140,1),(142,1),(182,1),(187,1),(188,1),(189,1),(206,1)}
       168:{3,7}:{(141,1),(142,1)}
       169:{1,3,6}:{(142,1),(183,1),(189,1),(190,1),(192,1)}
       170:{2,3,6}:{(142,1),(144,1),(184,1),(191,1),(192,1)}
       171:{2,4,7}:{(143,1),(144,1),(149,1),(191,1)}
       172:{3,5,6}:{(145,1),(152,1),(185,1),(193,1),(194,1),(206,1)}
       173:{4,5,7}:{(145,1),(146,1),(147,1),(193,1)}
       174:{2,6,7}:{(148,1),(149,1)}
       175:{1,6,7}:{(150,1),(151,1)}
       176:{1,4,6}:{(152,1),(153,1),(193,1),(194,1)}
       177:{3,5,7}:{(153,1),(154,1),(155,1),(194,1),(195,1)}
       178:{2,5}:{(154,1),(156,1)}
       179:{2,4,7}:{(155,1),(156,1),(158,1),(195,1)}
       180:{1,2,7}:{(157,1),(158,1),(159,1)}
       181:{2,3}:{(160,1)}
       182:{3,4}:{(161,1),(162,1),(196,1)}
       183:{1,3,5}:{(162,1),(169,1),(196,1),(198,1),(201,1),(208,1)}
       184:{2,3,5}:{(162,1),(163,1),(170,1),(197,1),(198,1)}
       185:{2,5,6}:{(164,1),(172,1),(199,1),(204,1)}
       186:{2,4,5,7}:{(164,1),(165,1),(166,1),(173,1),(199,1),(200,1)}
       187:{3,5}:{(165,1),(167,1),(201,1)}
       188:{3,4,7}:{(166,1),(167,1),(168,1),(200,1),(202,1)}
       189:{1,4,6}:{(167,1),(169,1),(196,1),(201,1),(202,1),(209,1)}
       190:{1,3,7}:{(168,1),(169,1),(202,1),(203,1)}
       191:{2,3,7}:{(168,1),(170,1),(171,1),(203,1)}
       192:{1,2,6}:{(169,1),(170,1),(198,1),(203,1)}
       193:{4,6}:{(172,1),(173,1)}
       194:{3,6}:{(176,1),(177,1),(204,1)}
       195:{2,5,7}:{(177,1),(178,1),(179,1),(204,1)}
       196:{1,4}:{(182,1),(183,1)}
       197:{2,3,4}:{(182,1),(184,1),(205,1)}
       198:{1,2,5}:{(183,1),(184,1),(192,1),(205,1)}
       199:{2,4,6}:{(185,1),(186,1),(193,1),(206,1)}
       200:{3,5,7}:{(186,1),(187,1),(188,1),(206,1),(207,1)}
       201:{1,5}:{(187,1),(189,1)}
       202:{1,4,7}:{(188,1),(189,1),(190,1),(207,1)}
       203:{1,2,7}:{(190,1),(191,1),(192,1)}
       204:{2,6}:{(194,1),(195,1)}
       205:{1,2,4}:{(196,1),(197,1),(198,1),(208,1)}
       206:{3,6}:{(199,1),(200,1),(209,1)}
       207:{1,5,7}:{(200,1),(201,1),(202,1),(209,1)}
       208:{1,3}:{(205,1)}
       209:{1,6}:{(206,1),(207,1)}

 383 :  0:{2,3,4}:{(2,1),(3,1),(46,1)}
        1:{3,4,5}:{(5,1),(6,1),(7,1),(31,1),(71,1)}
        2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1),(31,1)}
        3:{1,2,4}:{(0,1),(9,1),(10,1),(34,1)}
        4:{4,5,6}:{(12,1),(13,1),(63,1),(83,1)}
        5:{3,4,6}:{(1,1),(12,1),(14,1),(15,1),(16,1),(44,1),(63,1)}
        6:{1,4,5}:{(1,1),(11,1),(14,1)}
        7:{2,4,5}:{(1,1),(2,1),(15,1)}
        8:{2,3,6}:{(2,1),(15,1),(18,1),(19,1),(44,1)}
        9:{1,2,5}:{(2,1),(3,1),(18,1),(20,1)}
       10:{1,3}:{(3,1)}
       11:{1,3,5}:{(6,1),(21,1),(22,1),(23,1),(31,1)}
       12:{3,5,6}:{(4,1),(5,1),(24,1),(25,1),(26,1)}
       13:{4,5,7}:{(4,1),(26,1),(27,1),(72,1),(82,1)}
       14:{1,4,6}:{(5,1),(6,1),(22,1),(24,1),(29,1)}
       15:{2,4,6}:{(5,1),(7,1),(8,1),(25,1),(30,1)}
       16:{3,4,7}:{(5,1),(26,1),(29,1),(30,1),(58,1),(72,1)}
       17:{1,2,4,5}:{(6,1),(7,1),(9,1),(23,1),(28,1),(31,1),(34,1),(52,1),(59,1),(69,1),(71,1)}
       18:{1,2,6}:{(8,1),(9,1),(32,1),(33,1)}
       19:{2,3,7}:{(8,1),(30,1),(33,1),(58,1)}
       20:{1,3,5}:{(9,1),(10,1),(31,1),(32,1),(34,1),(59,1)}
       21:{1,3,4}:{(11,1),(35,1),(46,1)}
       22:{1,3,6}:{(11,1),(14,1),(36,1),(37,1),(44,1)}
       23:{1,2,5}:{(11,1),(35,1),(36,1),(38,1)}
       24:{1,5,6}:{(12,1),(14,1),(40,1)}
       25:{2,5,6}:{(12,1),(15,1),(41,1)}
       26:{3,5,7}:{(12,1),(13,1),(16,1),(40,1),(41,1),(42,1)}
       27:{4,6,7}:{(13,1),(42,1),(43,1)}
       28:{1,2,4,6}:{(14,1),(15,1),(17,1),(18,1),(36,1),(39,1),(44,1),(45,1),(47,1),(61,1),(63,1)}
       29:{1,4,7}:{(14,1),(16,1),(37,1),(40,1)}
       30:{2,4,7}:{(15,1),(16,1),(19,1),(41,1)}
       31:{3,5}:{(17,1),(44,1),(46,1)}
       32:{1,3,6}:{(18,1),(20,1),(44,1),(47,1),(48,1)}
       33:{1,2,7}:{(18,1),(19,1),(48,1)}
       34:{1,4}:{(20,1),(46,1)}
       35:{1,2,4}:{(21,1),(23,1),(49,1),(52,1)}
       36:{1,2,6}:{(22,1),(23,1),(50,1),(51,1)}
       37:{1,3,7}:{(22,1),(29,1),(51,1),(58,1)}
       38:{2,3,5}:{(23,1),(31,1),(49,1),(50,1),(52,1),(69,1)}
       39:{1,2,5,6}:{(24,1),(25,1),(28,1),(53,1),(54,1),(59,1),(69,1),(75,1),(80,1)}
       40:{1,5,7}:{(24,1),(26,1),(29,1),(55,1)}
       41:{2,5,7}:{(25,1),(26,1),(30,1),(56,1)}
       42:{3,6,7}:{(26,1),(27,1),(55,1),(56,1)}
       43:{5,6,7}:{(27,1),(82,1)}
       44:{3,6}:{(28,1),(31,1),(58,1)}
       45:{1,2,4,7}:{(28,1),(29,1),(30,1),(33,1),(51,1),(54,1),(58,1),(60,1),(70,1),(72,1)}
       46:{3,4}:{(31,1),(34,1),(52,1)}
       47:{1,4,6}:{(32,1),(34,1),(57,1),(59,1),(60,1),(75,1)}
       48:{1,3,7}:{(32,1),(33,1),(58,1),(60,1)}
       49:{2,3}:{(35,1)}
       50:{2,3,6}:{(36,1),(38,1),(44,1),(61,1),(62,1)}
       51:{1,2,7}:{(36,1),(37,1),(62,1)}
       52:{2,4}:{(38,1),(46,1)}
       53:{3,5,6}:{(39,1),(44,1),(63,1),(64,1),(66,1),(79,1),(83,1)}
       54:{1,2,5,7}:{(39,1),(40,1),(41,1),(45,1),(64,1),(65,1),(68,1),(76,1)}
       55:{1,6,7}:{(40,1),(42,1)}
       56:{2,6,7}:{(41,1),(42,1)}
       57:{3,4,6}:{(44,1),(46,1),(47,1),(61,1),(63,1),(66,1),(67,1),(79,1)}
       58:{3,7}:{(44,1),(45,1)}
       59:{1,5}:{(47,1),(66,1)}
       60:{1,4,7}:{(47,1),(48,1),(67,1),(68,1)}
       61:{2,4,6}:{(50,1),(52,1),(57,1),(69,1),(70,1),(80,1)}
       62:{2,3,7}:{(50,1),(51,1),(58,1),(70,1)}
       63:{4,6}:{(53,1),(71,1),(72,1)}
       64:{3,5,7}:{(53,1),(54,1),(58,1),(72,1),(73,1),(82,1)}
       65:{1,2,6,7}:{(54,1),(55,1),(56,1),(73,1),(75,1),(80,1)}
       66:{3,5}:{(57,1),(59,1),(69,1),(71,1)}
       67:{3,4,7}:{(57,1),(58,1),(60,1),(70,1),(72,1),(74,1)}
       68:{1,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{2,5}:{(61,1),(66,1)}
       70:{2,4,7}:{(61,1),(62,1),(67,1),(76,1)}
       71:{4,5}:{(63,1),(66,1)}
       72:{4,7}:{(63,1),(64,1)}
       73:{3,6,7}:{(64,1),(65,1),(78,1),(79,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(77,1),(79,1)}
       75:{1,6}:{(68,1),(79,1)}
       76:{2,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,5,7}:{(71,1),(72,1),(74,1),(81,1),(82,1)}
       78:{4,6,7}:{(72,1),(73,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(81,1)}
       80:{2,6}:{(76,1),(79,1)}
       81:{4,6}:{(77,1),(79,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 384 :  0:{1,2,4,5}:{(1,1),(2,1),(9,1),(10,1),(12,1),(31,1),(33,1),(35,1)}
        1:{3,5}:{(0,1),(3,1),(6,1)}
        2:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(19,1),(20,1),(23,1),(26,1)}
        3:{3,4}:{(1,1),(9,1),(10,1),(29,1)}
        4:{1,3,5}:{(1,1),(9,1),(12,1),(13,1),(29,1),(31,1),(48,1)}
        5:{2,3,5}:{(1,1),(10,1),(12,1),(14,1),(29,1),(33,1),(48,1)}
        6:{3,6}:{(1,1),(2,1),(16,1)}
        7:{1,2,5,6}:{(2,1),(15,1),(17,1),(31,1),(33,1),(51,1),(52,1)}
        8:{1,2,4,7}:{(2,1),(16,1),(17,1),(32,1),(34,1),(37,1),(38,1)}
        9:{1,4}:{(3,1),(4,1),(55,1)}
       10:{2,4}:{(3,1),(5,1),(55,1)}
       11:{3,4,6}:{(3,1),(6,1),(19,1),(20,1),(21,1),(22,1),(26,1),(40,1),(46,1),(55,1),(61,1)}
       12:{1,2,5}:{(4,1),(5,1),(18,1),(23,1)}
       13:{1,3,6}:{(4,1),(6,1),(19,1),(23,1),(24,1),(40,1)}
       14:{2,3,6}:{(5,1),(6,1),(20,1),(23,1),(25,1),(40,1)}
       15:{3,5,6}:{(6,1),(7,1),(21,1),(26,1),(27,1),(46,1),(58,1)}
       16:{3,7}:{(6,1),(8,1)}
       17:{1,2,5,7}:{(7,1),(8,1),(27,1),(28,1),(43,1),(44,1)}
       18:{1,2,4}:{(9,1),(10,1),(12,1),(29,1)}
       19:{1,4,6}:{(9,1),(11,1),(13,1),(31,1),(32,1),(51,1)}
       20:{2,4,6}:{(10,1),(11,1),(14,1),(33,1),(34,1),(52,1)}
       21:{3,5}:{(11,1),(31,1),(33,1),(35,1),(62,1)}
       22:{3,4,7}:{(11,1),(16,1),(32,1),(34,1),(36,1),(38,1),(49,1),(59,1)}
       23:{1,2,6}:{(12,1),(13,1),(14,1),(37,1)}
       24:{1,3,7}:{(13,1),(16,1),(32,1),(37,1),(49,1)}
       25:{2,3,7}:{(14,1),(16,1),(34,1),(37,1),(49,1)}
       26:{4,6}:{(15,1),(35,1),(38,1)}
       27:{3,5,7}:{(15,1),(16,1),(17,1),(38,1),(39,1),(54,1)}
       28:{1,2,6,7}:{(17,1),(39,1),(51,1),(52,1)}
       29:{3}:{(18,1)}
       30:{1,2,4,6}:{(18,1),(19,1),(20,1),(23,1),(40,1),(41,1),(42,1),(55,1),(57,1),(61,1)}
       31:{1,5}:{(19,1),(21,1)}
       32:{1,4,7}:{(19,1),(22,1),(24,1),(43,1)}
       33:{2,5}:{(20,1),(21,1)}
       34:{2,4,7}:{(20,1),(22,1),(25,1),(44,1)}
       35:{4,5}:{(21,1),(26,1),(55,1)}
       36:{3,5,7}:{(21,1),(22,1),(43,1),(44,1),(45,1),(46,1)}
       37:{1,2,7}:{(23,1),(24,1),(25,1)}
       38:{4,7}:{(26,1),(27,1)}
       39:{3,6,7}:{(27,1),(28,1),(46,1),(47,1)}
       40:{3,6}:{(29,1),(30,1),(48,1),(49,1)}
       41:{1,2,5}:{(30,1),(31,1),(33,1),(48,1),(62,1)}
       42:{1,2,4,7}:{(30,1),(32,1),(34,1),(37,1),(49,1),(50,1),(59,1)}
       43:{1,5,7}:{(31,1),(32,1),(36,1),(51,1)}
       44:{2,5,7}:{(33,1),(34,1),(36,1),(52,1)}
       45:{4,5,7}:{(35,1),(36,1),(38,1),(53,1),(54,1),(59,1),(62,1)}
       46:{3,6}:{(36,1),(51,1),(52,1),(53,1)}
       47:{4,6,7}:{(38,1),(39,1),(53,1),(54,1)}
       48:{3,5}:{(40,1),(41,1),(55,1)}
       49:{3,7}:{(40,1),(42,1)}
       50:{1,2,5,7}:{(41,1),(42,1),(43,1),(44,1),(56,1),(57,1)}
       51:{1,6}:{(43,1),(46,1)}
       52:{2,6}:{(44,1),(46,1)}
       53:{4,6}:{(45,1),(46,1),(58,1)}
       54:{5,7}:{(47,1),(58,1)}
       55:{4}:{(48,1)}
       56:{3,5,7}:{(48,1),(49,1),(50,1),(59,1),(60,1),(62,1)}
       57:{1,2,6}:{(50,1),(51,1),(52,1),(60,1)}
       58:{5,6}:{(53,1),(54,1),(62,1)}
       59:{4,7}:{(55,1),(56,1),(61,1)}
       60:{3,6}:{(56,1),(57,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 385 :   0:{3,4,5,7}:{(1,1),(2,1),(3,1),(21,1),(27,1),(84,1),(87,1),(124,1),(132,1),(135,1),(136,1)}
         1:{1,4,5,7}:{(0,1),(6,1),(9,1),(47,1),(55,1),(93,1),(117,1),(162,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(10,1),(49,1),(58,1),(100,1),(114,1),(154,1)}
         3:{3,4,6}:{(0,1),(9,1),(10,1),(12,1),(44,1),(105,1)}
         4:{1,3,4,7}:{(6,1),(13,1),(14,1),(43,1),(93,1),(151,1),(170,1),(195,1)}
         5:{2,3,4,7}:{(7,1),(15,1),(16,1),(43,1),(100,1),(159,1),(168,1),(200,1)}
         6:{1,3,5,7}:{(1,1),(4,1),(17,1),(18,1),(21,1),(31,1),(145,1),(186,1),(205,1)}
         7:{2,3,5,7}:{(2,1),(5,1),(19,1),(20,1),(21,1),(34,1),(143,1),(179,1),(207,1)}
         8:{1,2,4,5,7}:{(1,1),(2,1),(17,1),(19,1),(21,1),(22,1),(59,1),(65,1),(74,1),(83,1),(86,1),(119,1),(122,1),(127,1),(130,1),(135,1),(136,1),(174,1),(182,1),(205,1),(207,1)}
         9:{1,4,6}:{(1,1),(3,1),(18,1),(24,1)}
        10:{2,4,6}:{(2,1),(3,1),(20,1),(26,1)}
        11:{3,4,6,7}:{(3,1),(23,1),(25,1),(27,1),(72,1),(81,1),(124,1),(132,1),(136,1),(137,1),(139,1)}
        12:{3,5,6}:{(3,1),(24,1),(26,1),(27,1),(28,1)}
        13:{1,2,4,7}:{(4,1),(17,1),(29,1),(30,1),(59,1),(191,1)}
        14:{1,3,4,6}:{(4,1),(18,1),(30,1),(31,1),(64,1),(71,1),(123,1),(141,1),(177,1)}
        15:{1,2,4,7}:{(5,1),(19,1),(32,1),(33,1),(65,1),(190,1)}
        16:{2,3,4,6}:{(5,1),(20,1),(33,1),(34,1),(70,1),(71,1),(131,1),(144,1),(185,1)}
        17:{1,2,5,7}:{(6,1),(13,1),(35,1),(36,1),(54,1),(172,1),(201,1)}
        18:{1,3,6}:{(6,1),(9,1),(36,1),(44,1),(208,1)}
        19:{1,2,5,7}:{(7,1),(15,1),(39,1),(40,1),(57,1),(169,1),(196,1)}
        20:{2,3,6}:{(7,1),(10,1),(40,1),(44,1),(209,1)}
        21:{3,5,7}:{(8,1),(43,1),(44,1),(103,1),(113,1),(116,1),(151,1),(159,1)}
        22:{1,2,4,6}:{(8,1),(9,1),(10,1),(36,1),(40,1),(44,1),(46,1),(88,1),(95,1),(105,1),(192,1),(197,1),(208,1),(209,1)}
        23:{1,4,6,7}:{(9,1),(11,1),(37,1),(47,1),(93,1),(162,1),(166,1)}
        24:{1,5,6}:{(9,1),(12,1),(47,1)}
        25:{2,4,6,7}:{(10,1),(11,1),(41,1),(49,1),(100,1),(154,1),(165,1)}
        26:{2,5,6}:{(10,1),(12,1),(49,1)}
        27:{3,5,7}:{(11,1),(12,1),(47,1),(49,1),(52,1)}
        28:{4,5,6}:{(12,1),(52,1),(105,1)}
        29:{2,3,7}:{(13,1),(53,1),(151,1),(203,1)}
        30:{1,2,4,6}:{(13,1),(14,1),(36,1),(53,1),(54,1),(88,1),(112,1)}
        31:{1,3,5}:{(14,1),(54,1),(55,1),(103,1),(113,1),(194,1)}
        32:{1,3,7}:{(15,1),(56,1),(159,1),(202,1)}
        33:{1,2,4,6}:{(15,1),(16,1),(40,1),(56,1),(57,1),(95,1),(115,1)}
        34:{2,3,5}:{(16,1),(57,1),(58,1),(103,1),(116,1),(199,1)}
        35:{2,3,5,7}:{(17,1),(21,1),(29,1),(59,1),(60,1),(82,1),(119,1),(146,1),(187,1),(207,1)}
        36:{1,2,6}:{(17,1),(18,1),(60,1)}
        37:{1,3,6,7}:{(18,1),(23,1),(61,1),(63,1),(72,1),(137,1),(186,1)}
        38:{1,3,5,6}:{(18,1),(24,1),(31,1),(62,1),(63,1),(64,1),(73,1),(77,1),(123,1)}
        39:{1,3,5,7}:{(19,1),(21,1),(32,1),(65,1),(66,1),(85,1),(127,1),(142,1),(178,1),(205,1)}
        40:{1,2,6}:{(19,1),(20,1),(66,1)}
        41:{2,3,6,7}:{(20,1),(25,1),(67,1),(69,1),(72,1),(139,1),(179,1)}
        42:{2,3,5,6}:{(20,1),(26,1),(34,1),(68,1),(69,1),(70,1),(73,1),(80,1),(131,1)}
        43:{3,4,7}:{(21,1),(59,1),(65,1),(71,1),(136,1),(141,1),(144,1)}
        44:{3,6}:{(21,1),(22,1)}
        45:{1,2,4,6,7}:{(22,1),(23,1),(25,1),(61,1),(67,1),(72,1),(74,1),(118,1),(122,1),(126,1),(130,1),(136,1)}
        46:{1,2,5,6}:{(22,1),(24,1),(26,1),(73,1),(74,1),(119,1),(127,1),(173,1),(181,1)}
        47:{1,5,7}:{(23,1),(24,1),(27,1)}
        48:{1,4,5,6}:{(24,1),(28,1),(64,1),(76,1),(77,1)}
        49:{2,5,7}:{(25,1),(26,1),(27,1)}
        50:{2,4,5,6}:{(26,1),(28,1),(70,1),(79,1),(80,1)}
        51:{3,5,6,7}:{(27,1),(75,1),(78,1),(81,1),(137,1),(139,1)}
        52:{4,5,7}:{(27,1),(28,1),(81,1),(136,1)}
        53:{2,3,6}:{(29,1),(30,1),(82,1),(123,1)}
        54:{1,2,5}:{(30,1),(31,1),(82,1),(119,1)}
        55:{1,4,5}:{(31,1),(64,1),(84,1),(135,1)}
        56:{1,3,6}:{(32,1),(33,1),(85,1),(131,1)}
        57:{1,2,5}:{(33,1),(34,1),(85,1),(127,1)}
        58:{2,4,5}:{(34,1),(70,1),(87,1),(135,1)}
        59:{2,4,7}:{(35,1),(43,1),(88,1),(112,1),(171,1)}
        60:{2,3,6}:{(35,1),(36,1),(44,1),(88,1),(209,1)}
        61:{1,2,6,7}:{(36,1),(37,1),(89,1),(91,1),(165,1),(201,1),(208,1)}
        62:{1,2,5,6}:{(36,1),(38,1),(54,1),(90,1),(91,1),(92,1),(108,1),(194,1),(208,1)}
        63:{1,3,5,7}:{(37,1),(38,1),(47,1),(91,1),(93,1),(104,1),(107,1),(151,1)}
        64:{1,4,6}:{(38,1),(55,1),(93,1),(94,1),(105,1)}
        65:{1,4,7}:{(39,1),(43,1),(95,1),(115,1),(167,1)}
        66:{1,3,6}:{(39,1),(40,1),(44,1),(95,1),(208,1)}
        67:{1,2,6,7}:{(40,1),(41,1),(96,1),(98,1),(166,1),(196,1),(209,1)}
        68:{1,2,5,6}:{(40,1),(42,1),(57,1),(97,1),(98,1),(99,1),(111,1),(199,1),(209,1)}
        69:{2,3,5,7}:{(41,1),(42,1),(49,1),(98,1),(100,1),(104,1),(110,1),(159,1)}
        70:{2,4,6}:{(42,1),(58,1),(100,1),(101,1),(105,1)}
        71:{3,4,6}:{(43,1),(44,1),(88,1),(95,1),(103,1),(105,1)}
        72:{3,6,7}:{(44,1),(45,1),(104,1),(151,1),(159,1)}
        73:{3,5,6}:{(44,1),(46,1),(103,1),(104,1),(105,1)}
        74:{1,2,5,7}:{(45,1),(46,1),(47,1),(49,1),(104,1),(147,1),(155,1)}
        75:{1,5,6,7}:{(47,1),(51,1),(106,1),(166,1)}
        76:{1,4,5,7}:{(47,1),(48,1),(52,1),(93,1),(106,1),(107,1)}
        77:{3,5,6}:{(48,1),(94,1),(107,1),(108,1)}
        78:{2,5,6,7}:{(49,1),(51,1),(109,1),(165,1)}
        79:{2,4,5,7}:{(49,1),(50,1),(52,1),(100,1),(109,1),(110,1)}
        80:{3,5,6}:{(50,1),(101,1),(110,1),(111,1)}
        81:{4,6,7}:{(51,1),(52,1)}
        82:{2,3,5}:{(53,1),(54,1),(112,1),(113,1)}
        83:{1,2,4,5}:{(54,1),(55,1),(92,1),(112,1),(113,1),(114,1),(148,1),(167,1),(169,1),(194,1)}
        84:{3,4,5}:{(55,1),(94,1),(113,1),(114,1)}
        85:{1,3,5}:{(56,1),(57,1),(115,1),(116,1)}
        86:{1,2,4,5}:{(57,1),(58,1),(99,1),(115,1),(116,1),(117,1),(156,1),(171,1),(172,1),(199,1)}
        87:{3,4,5}:{(58,1),(101,1),(116,1),(117,1)}
        88:{2,4,6}:{(59,1),(60,1),(71,1),(119,1)}
        89:{2,3,6,7}:{(60,1),(61,1),(72,1),(118,1),(120,1),(187,1),(204,1)}
        90:{2,3,5,6}:{(60,1),(62,1),(73,1),(82,1),(119,1),(120,1),(121,1),(123,1),(173,1),(175,1),(204,1)}
        91:{1,2,5,7}:{(61,1),(62,1),(63,1),(120,1),(122,1),(138,1),(205,1)}
        92:{1,2,4,6}:{(62,1),(64,1),(83,1),(121,1),(122,1),(123,1),(125,1),(177,1),(180,1)}
        93:{1,4,7}:{(63,1),(64,1),(124,1),(136,1)}
        94:{3,4,6}:{(64,1),(77,1),(84,1),(123,1),(124,1),(125,1)}
        95:{1,4,6}:{(65,1),(66,1),(71,1),(127,1)}
        96:{1,3,6,7}:{(66,1),(67,1),(72,1),(126,1),(128,1),(178,1),(206,1)}
        97:{1,3,5,6}:{(66,1),(68,1),(73,1),(85,1),(127,1),(128,1),(129,1),(131,1),(181,1),(183,1),(206,1)}
        98:{1,2,5,7}:{(67,1),(68,1),(69,1),(128,1),(130,1),(140,1),(207,1)}
        99:{1,2,4,6}:{(68,1),(70,1),(86,1),(129,1),(130,1),(131,1),(133,1),(185,1),(188,1)}
       100:{2,4,7}:{(69,1),(70,1),(132,1),(136,1)}
       101:{3,4,6}:{(70,1),(80,1),(87,1),(131,1),(132,1),(133,1)}
       102:{3,4,6,7}:{(71,1),(72,1),(118,1),(126,1),(134,1),(136,1),(176,1),(184,1),(189,1),(204,1),(206,1)}
       103:{3,5}:{(71,1),(119,1),(127,1),(135,1)}
       104:{3,5,7}:{(72,1),(73,1),(74,1),(136,1)}
       105:{4,6}:{(73,1),(135,1),(136,1)}
       106:{1,4,6,7}:{(75,1),(76,1),(81,1),(137,1)}
       107:{3,5,7}:{(76,1),(77,1),(124,1),(137,1),(138,1)}
       108:{2,5,6}:{(77,1),(125,1),(138,1)}
       109:{2,4,6,7}:{(78,1),(79,1),(81,1),(139,1)}
       110:{3,5,7}:{(79,1),(80,1),(132,1),(139,1),(140,1)}
       111:{1,5,6}:{(80,1),(133,1),(140,1)}
       112:{2,4}:{(82,1),(141,1)}
       113:{3,5}:{(83,1),(123,1),(141,1)}
       114:{2,4,5}:{(84,1),(125,1),(143,1)}
       115:{1,4}:{(85,1),(144,1)}
       116:{3,5}:{(86,1),(131,1),(144,1)}
       117:{1,4,5}:{(87,1),(133,1),(145,1)}
       118:{2,4,6,7}:{(88,1),(89,1),(102,1),(147,1),(149,1),(192,1),(200,1),(209,1)}
       119:{2,5}:{(88,1),(103,1)}
       120:{2,3,5,7}:{(89,1),(90,1),(91,1),(104,1),(147,1),(149,1),(151,1),(193,1)}
       121:{2,4,6}:{(90,1),(105,1),(112,1),(148,1),(149,1),(150,1)}
       122:{1,2,4,7}:{(91,1),(92,1),(93,1),(149,1),(151,1),(154,1),(195,1),(196,1)}
       123:{3,6}:{(92,1),(113,1),(151,1)}
       124:{3,4,7}:{(93,1),(94,1),(107,1),(151,1),(154,1)}
       125:{2,4,6}:{(94,1),(108,1),(114,1),(153,1),(154,1)}
       126:{1,4,6,7}:{(95,1),(96,1),(102,1),(155,1),(157,1),(195,1),(197,1),(208,1)}
       127:{1,5}:{(95,1),(103,1)}
       128:{1,3,5,7}:{(96,1),(97,1),(98,1),(104,1),(155,1),(157,1),(159,1),(198,1)}
       129:{1,4,6}:{(97,1),(105,1),(115,1),(156,1),(157,1),(158,1)}
       130:{1,2,4,7}:{(98,1),(99,1),(100,1),(157,1),(159,1),(162,1),(200,1),(201,1)}
       131:{3,6}:{(99,1),(116,1),(159,1)}
       132:{3,4,7}:{(100,1),(101,1),(110,1),(159,1),(162,1)}
       133:{1,4,6}:{(101,1),(111,1),(117,1),(160,1),(162,1)}
       134:{3,5,7}:{(102,1),(103,1),(147,1),(155,1),(163,1),(164,1)}
       135:{4,5}:{(103,1),(105,1)}
       136:{4,7}:{(104,1),(105,1)}
       137:{3,6,7}:{(106,1),(107,1),(165,1)}
       138:{2,5,7}:{(107,1),(108,1),(154,1),(165,1)}
       139:{3,6,7}:{(109,1),(110,1),(166,1)}
       140:{1,5,7}:{(110,1),(111,1),(162,1),(166,1)}
       141:{3,4}:{(112,1),(113,1),(167,1)}
       142:{1,3,5}:{(113,1),(152,1),(167,1),(169,1),(194,1),(202,1)}
       143:{2,3,5}:{(113,1),(114,1),(153,1),(168,1),(169,1)}
       144:{3,4}:{(115,1),(116,1),(171,1)}
       145:{1,3,5}:{(116,1),(117,1),(160,1),(170,1),(172,1)}
       146:{2,3,5}:{(116,1),(161,1),(171,1),(172,1),(199,1),(203,1)}
       147:{2,5,7}:{(118,1),(119,1),(134,1),(173,1)}
       148:{2,4,5}:{(119,1),(121,1),(135,1),(175,1)}
       149:{2,4,7}:{(120,1),(121,1),(136,1),(176,1)}
       150:{3,4,6}:{(121,1),(123,1),(141,1),(175,1),(176,1),(177,1),(204,1)}
       151:{3,7}:{(122,1),(123,1)}
       152:{1,3,6}:{(123,1),(142,1),(177,1),(178,1),(180,1)}
       153:{2,3,6}:{(123,1),(125,1),(143,1),(179,1),(180,1)}
       154:{2,4,7}:{(124,1),(125,1),(138,1),(179,1)}
       155:{1,5,7}:{(126,1),(127,1),(134,1),(181,1)}
       156:{1,4,5}:{(127,1),(129,1),(135,1),(183,1)}
       157:{1,4,7}:{(128,1),(129,1),(136,1),(184,1)}
       158:{3,4,6}:{(129,1),(131,1),(144,1),(183,1),(184,1),(185,1),(206,1)}
       159:{3,7}:{(130,1),(131,1)}
       160:{1,3,6}:{(131,1),(133,1),(145,1),(186,1),(188,1)}
       161:{2,3,6}:{(131,1),(146,1),(185,1),(187,1),(188,1)}
       162:{1,4,7}:{(132,1),(133,1),(140,1),(186,1)}
       163:{3,5,6}:{(134,1),(173,1),(181,1),(189,1),(204,1),(206,1)}
       164:{4,5,7}:{(134,1),(135,1),(136,1),(189,1)}
       165:{2,6,7}:{(137,1),(138,1)}
       166:{1,6,7}:{(139,1),(140,1)}
       167:{1,4}:{(141,1),(142,1)}
       168:{2,3,4}:{(141,1),(143,1),(190,1)}
       169:{1,2,5}:{(142,1),(143,1),(180,1),(190,1)}
       170:{1,3,4}:{(144,1),(145,1),(191,1)}
       171:{2,4}:{(144,1),(146,1)}
       172:{1,2,5}:{(145,1),(146,1),(188,1),(191,1)}
       173:{2,5,6}:{(147,1),(163,1),(192,1),(209,1)}
       174:{2,4,5,7}:{(147,1),(148,1),(149,1),(164,1),(192,1),(193,1)}
       175:{3,5}:{(148,1),(150,1),(194,1)}
       176:{3,4,7}:{(149,1),(150,1),(151,1),(193,1),(195,1)}
       177:{1,4,6}:{(150,1),(152,1),(167,1),(194,1),(195,1),(208,1)}
       178:{1,3,7}:{(151,1),(152,1),(195,1),(196,1)}
       179:{2,3,7}:{(151,1),(153,1),(154,1),(196,1)}
       180:{1,2,6}:{(152,1),(153,1),(169,1),(196,1)}
       181:{1,5,6}:{(155,1),(163,1),(197,1),(208,1)}
       182:{1,4,5,7}:{(155,1),(156,1),(157,1),(164,1),(197,1),(198,1)}
       183:{3,5}:{(156,1),(158,1),(199,1)}
       184:{3,4,7}:{(157,1),(158,1),(159,1),(198,1),(200,1)}
       185:{2,4,6}:{(158,1),(161,1),(171,1),(199,1),(200,1),(209,1)}
       186:{1,3,7}:{(159,1),(160,1),(162,1),(201,1)}
       187:{2,3,7}:{(159,1),(161,1),(200,1),(201,1)}
       188:{1,2,6}:{(160,1),(161,1),(172,1),(201,1)}
       189:{4,6}:{(163,1),(164,1)}
       190:{1,2,4}:{(167,1),(168,1),(169,1),(202,1)}
       191:{1,2,4}:{(170,1),(171,1),(172,1),(203,1)}
       192:{2,4,6}:{(173,1),(174,1),(189,1),(204,1)}
       193:{3,5,7}:{(174,1),(175,1),(176,1),(204,1),(205,1)}
       194:{1,5}:{(175,1),(177,1)}
       195:{1,4,7}:{(176,1),(177,1),(178,1),(205,1)}
       196:{1,2,7}:{(178,1),(179,1),(180,1)}
       197:{1,4,6}:{(181,1),(182,1),(189,1),(206,1)}
       198:{3,5,7}:{(182,1),(183,1),(184,1),(206,1),(207,1)}
       199:{2,5}:{(183,1),(185,1)}
       200:{2,4,7}:{(184,1),(185,1),(187,1),(207,1)}
       201:{1,2,7}:{(186,1),(187,1),(188,1)}
       202:{1,3}:{(190,1)}
       203:{2,3}:{(191,1)}
       204:{3,6}:{(192,1),(193,1),(208,1)}
       205:{1,5,7}:{(193,1),(194,1),(195,1),(208,1)}
       206:{3,6}:{(197,1),(198,1),(209,1)}
       207:{2,5,7}:{(198,1),(199,1),(200,1),(209,1)}
       208:{1,6}:{(204,1),(205,1)}
       209:{2,6}:{(206,1),(207,1)}

 386 :  0:{3,4,5}:{(2,1),(3,1),(4,1),(28,1),(70,1)}
        1:{4,5,6}:{(9,1),(10,1),(61,1),(83,1)}
        2:{3,4,6}:{(0,1),(9,1),(11,1),(12,1),(13,1),(42,1),(61,1)}
        3:{1,4,5}:{(0,1),(7,1),(11,1)}
        4:{2,4,5}:{(0,1),(8,1),(12,1)}
        5:{1,3,4}:{(7,1),(15,1),(44,1)}
        6:{2,3,4}:{(8,1),(16,1),(44,1)}
        7:{1,3,5}:{(3,1),(5,1),(17,1),(18,1),(28,1)}
        8:{2,3,5}:{(4,1),(6,1),(19,1),(20,1),(28,1)}
        9:{3,5,6}:{(1,1),(2,1),(21,1),(22,1),(23,1)}
       10:{4,5,7}:{(1,1),(23,1),(24,1),(71,1),(82,1)}
       11:{1,4,6}:{(2,1),(3,1),(17,1),(21,1),(26,1)}
       12:{2,4,6}:{(2,1),(4,1),(19,1),(22,1),(27,1)}
       13:{3,4,7}:{(2,1),(23,1),(26,1),(27,1),(56,1),(71,1)}
       14:{1,2,4,5}:{(3,1),(4,1),(18,1),(20,1),(25,1),(28,1),(47,1),(50,1),(66,1),(68,1),(70,1)}
       15:{1,2,4}:{(5,1),(18,1),(29,1),(47,1)}
       16:{1,2,4}:{(6,1),(20,1),(30,1),(50,1)}
       17:{1,3,6}:{(7,1),(11,1),(31,1),(32,1),(42,1)}
       18:{1,2,5}:{(7,1),(15,1),(31,1),(33,1)}
       19:{2,3,6}:{(8,1),(12,1),(34,1),(35,1),(42,1)}
       20:{1,2,5}:{(8,1),(16,1),(34,1),(36,1)}
       21:{1,5,6}:{(9,1),(11,1),(38,1)}
       22:{2,5,6}:{(9,1),(12,1),(39,1)}
       23:{3,5,7}:{(9,1),(10,1),(13,1),(38,1),(39,1),(40,1)}
       24:{4,6,7}:{(10,1),(40,1),(41,1)}
       25:{1,2,4,6}:{(11,1),(12,1),(14,1),(31,1),(34,1),(37,1),(42,1),(43,1),(57,1),(59,1),(61,1)}
       26:{1,4,7}:{(11,1),(13,1),(32,1),(38,1)}
       27:{2,4,7}:{(12,1),(13,1),(35,1),(39,1)}
       28:{3,5}:{(14,1),(42,1),(44,1)}
       29:{2,3}:{(15,1)}
       30:{1,3}:{(16,1)}
       31:{1,2,6}:{(17,1),(18,1),(45,1),(46,1)}
       32:{1,3,7}:{(17,1),(26,1),(46,1),(56,1)}
       33:{2,3,5}:{(18,1),(28,1),(29,1),(45,1),(47,1),(66,1)}
       34:{1,2,6}:{(19,1),(20,1),(48,1),(49,1)}
       35:{2,3,7}:{(19,1),(27,1),(49,1),(56,1)}
       36:{1,3,5}:{(20,1),(28,1),(30,1),(48,1),(50,1),(68,1)}
       37:{1,2,5,6}:{(21,1),(22,1),(25,1),(51,1),(52,1),(66,1),(68,1),(79,1),(80,1)}
       38:{1,5,7}:{(21,1),(23,1),(26,1),(53,1)}
       39:{2,5,7}:{(22,1),(23,1),(27,1),(54,1)}
       40:{3,6,7}:{(23,1),(24,1),(53,1),(54,1)}
       41:{5,6,7}:{(24,1),(82,1)}
       42:{3,6}:{(25,1),(28,1),(56,1)}
       43:{1,2,4,7}:{(25,1),(26,1),(27,1),(46,1),(49,1),(52,1),(56,1),(67,1),(69,1),(71,1)}
       44:{3,4}:{(28,1),(47,1),(50,1)}
       45:{2,3,6}:{(31,1),(33,1),(42,1),(57,1),(58,1)}
       46:{1,2,7}:{(31,1),(32,1),(58,1)}
       47:{2,4}:{(33,1),(44,1)}
       48:{1,3,6}:{(34,1),(36,1),(42,1),(59,1),(60,1)}
       49:{1,2,7}:{(34,1),(35,1),(60,1)}
       50:{1,4}:{(36,1),(44,1)}
       51:{3,5,6}:{(37,1),(42,1),(61,1),(62,1),(64,1),(78,1),(83,1)}
       52:{1,2,5,7}:{(37,1),(38,1),(39,1),(43,1),(62,1),(63,1),(74,1),(75,1)}
       53:{1,6,7}:{(38,1),(40,1)}
       54:{2,6,7}:{(39,1),(40,1)}
       55:{3,4,6}:{(42,1),(44,1),(57,1),(59,1),(61,1),(64,1),(65,1),(78,1)}
       56:{3,7}:{(42,1),(43,1)}
       57:{2,4,6}:{(45,1),(47,1),(55,1),(66,1),(67,1),(79,1)}
       58:{2,3,7}:{(45,1),(46,1),(56,1),(67,1)}
       59:{1,4,6}:{(48,1),(50,1),(55,1),(68,1),(69,1),(80,1)}
       60:{1,3,7}:{(48,1),(49,1),(56,1),(69,1)}
       61:{4,6}:{(51,1),(70,1),(71,1)}
       62:{3,5,7}:{(51,1),(52,1),(56,1),(71,1),(72,1),(82,1)}
       63:{1,2,6,7}:{(52,1),(53,1),(54,1),(72,1),(79,1),(80,1)}
       64:{3,5}:{(55,1),(66,1),(68,1),(70,1)}
       65:{3,4,7}:{(55,1),(56,1),(67,1),(69,1),(71,1),(73,1)}
       66:{2,5}:{(57,1),(64,1)}
       67:{2,4,7}:{(57,1),(58,1),(65,1),(74,1)}
       68:{1,5}:{(59,1),(64,1)}
       69:{1,4,7}:{(59,1),(60,1),(65,1),(75,1)}
       70:{4,5}:{(61,1),(64,1)}
       71:{4,7}:{(61,1),(62,1)}
       72:{3,6,7}:{(62,1),(63,1),(77,1),(78,1)}
       73:{3,5,7}:{(64,1),(65,1),(74,1),(75,1),(76,1),(78,1)}
       74:{2,5,7}:{(66,1),(67,1),(73,1),(79,1)}
       75:{1,5,7}:{(68,1),(69,1),(73,1),(80,1)}
       76:{4,5,7}:{(70,1),(71,1),(73,1),(81,1),(82,1)}
       77:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       78:{3,6}:{(73,1),(79,1),(80,1),(81,1)}
       79:{2,6}:{(74,1),(78,1)}
       80:{1,6}:{(75,1),(78,1)}
       81:{4,6}:{(76,1),(78,1),(83,1)}
       82:{5,7}:{(77,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 387 :  0:{4,5,6}:{(1,1),(2,1),(46,1),(81,1)}
        1:{3,5,6}:{(0,1),(4,1),(5,1),(6,1),(7,1)}
        2:{4,5,7}:{(0,1),(7,1),(8,1),(59,1),(77,1)}
        3:{3,4,5}:{(4,1),(9,1),(10,1),(37,1),(58,1)}
        4:{3,4,6}:{(1,1),(3,1),(13,1),(14,1),(15,1),(44,1),(46,1)}
        5:{1,5,6}:{(1,1),(13,1),(17,1)}
        6:{2,5,6}:{(1,1),(14,1),(18,1)}
        7:{3,5,7}:{(1,1),(2,1),(15,1),(17,1),(18,1),(19,1)}
        8:{4,6,7}:{(2,1),(19,1),(20,1)}
        9:{1,4,5}:{(3,1),(13,1),(21,1)}
       10:{2,4,5}:{(3,1),(14,1),(22,1)}
       11:{1,3,4}:{(21,1),(24,1),(51,1)}
       12:{2,3,4}:{(22,1),(25,1),(51,1)}
       13:{1,4,6}:{(4,1),(5,1),(9,1),(26,1),(29,1)}
       14:{2,4,6}:{(4,1),(6,1),(10,1),(27,1),(30,1)}
       15:{3,4,7}:{(4,1),(7,1),(29,1),(30,1),(57,1),(59,1)}
       16:{1,2,5,6}:{(5,1),(6,1),(28,1),(31,1),(32,1),(71,1),(73,1),(82,1),(83,1)}
       17:{1,5,7}:{(5,1),(7,1),(29,1),(33,1)}
       18:{2,5,7}:{(6,1),(7,1),(30,1),(34,1)}
       19:{3,6,7}:{(7,1),(8,1),(33,1),(34,1)}
       20:{5,6,7}:{(8,1),(77,1)}
       21:{1,3,5}:{(9,1),(11,1),(26,1),(35,1),(37,1)}
       22:{2,3,5}:{(10,1),(12,1),(27,1),(36,1),(37,1)}
       23:{1,2,4,5}:{(9,1),(10,1),(28,1),(35,1),(36,1),(37,1),(58,1),(61,1),(62,1),(71,1),(73,1)}
       24:{1,2,4}:{(11,1),(35,1),(38,1),(61,1)}
       25:{1,2,4}:{(12,1),(36,1),(39,1),(62,1)}
       26:{1,3,6}:{(13,1),(21,1),(40,1),(41,1),(44,1)}
       27:{2,3,6}:{(14,1),(22,1),(42,1),(43,1),(44,1)}
       28:{1,2,4,6}:{(13,1),(14,1),(16,1),(23,1),(40,1),(42,1),(44,1),(45,1),(46,1),(63,1),(65,1)}
       29:{1,4,7}:{(13,1),(15,1),(17,1),(41,1)}
       30:{2,4,7}:{(14,1),(15,1),(18,1),(43,1)}
       31:{3,5,6}:{(16,1),(44,1),(46,1),(47,1),(67,1),(80,1),(81,1)}
       32:{1,2,5,7}:{(16,1),(17,1),(18,1),(45,1),(47,1),(48,1),(78,1),(79,1)}
       33:{1,6,7}:{(17,1),(19,1)}
       34:{2,6,7}:{(18,1),(19,1)}
       35:{1,2,5}:{(21,1),(24,1),(40,1),(49,1)}
       36:{1,2,5}:{(22,1),(25,1),(42,1),(50,1)}
       37:{3,5}:{(23,1),(44,1),(51,1)}
       38:{2,3}:{(24,1)}
       39:{1,3}:{(25,1)}
       40:{1,2,6}:{(26,1),(35,1),(52,1),(53,1)}
       41:{1,3,7}:{(26,1),(29,1),(53,1),(57,1)}
       42:{1,2,6}:{(27,1),(36,1),(54,1),(55,1)}
       43:{2,3,7}:{(27,1),(30,1),(55,1),(57,1)}
       44:{3,6}:{(28,1),(37,1),(57,1)}
       45:{1,2,4,7}:{(28,1),(29,1),(30,1),(32,1),(53,1),(55,1),(57,1),(59,1),(72,1),(74,1)}
       46:{4,6}:{(31,1),(58,1),(59,1)}
       47:{3,5,7}:{(31,1),(32,1),(57,1),(59,1),(60,1),(77,1)}
       48:{1,2,6,7}:{(32,1),(33,1),(34,1),(60,1),(82,1),(83,1)}
       49:{2,3,5}:{(35,1),(37,1),(38,1),(52,1),(61,1),(71,1)}
       50:{1,3,5}:{(36,1),(37,1),(39,1),(54,1),(62,1),(73,1)}
       51:{3,4}:{(37,1),(61,1),(62,1)}
       52:{2,3,6}:{(40,1),(44,1),(49,1),(63,1),(64,1)}
       53:{1,2,7}:{(40,1),(41,1),(64,1)}
       54:{1,3,6}:{(42,1),(44,1),(50,1),(65,1),(66,1)}
       55:{1,2,7}:{(42,1),(43,1),(66,1)}
       56:{3,4,6}:{(44,1),(46,1),(51,1),(63,1),(65,1),(67,1),(68,1),(80,1)}
       57:{3,7}:{(44,1),(45,1)}
       58:{4,5}:{(46,1),(67,1)}
       59:{4,7}:{(46,1),(47,1)}
       60:{3,6,7}:{(47,1),(48,1),(70,1),(80,1)}
       61:{2,4}:{(49,1),(51,1)}
       62:{1,4}:{(50,1),(51,1)}
       63:{2,4,6}:{(52,1),(56,1),(61,1),(71,1),(72,1),(82,1)}
       64:{2,3,7}:{(52,1),(53,1),(57,1),(72,1)}
       65:{1,4,6}:{(54,1),(56,1),(62,1),(73,1),(74,1),(83,1)}
       66:{1,3,7}:{(54,1),(55,1),(57,1),(74,1)}
       67:{3,5}:{(56,1),(58,1),(71,1),(73,1)}
       68:{3,4,7}:{(56,1),(57,1),(59,1),(72,1),(74,1),(75,1)}
       69:{4,5,7}:{(58,1),(59,1),(75,1),(76,1),(77,1)}
       70:{4,6,7}:{(59,1),(60,1),(76,1),(77,1)}
       71:{2,5}:{(63,1),(67,1)}
       72:{2,4,7}:{(63,1),(64,1),(68,1),(78,1)}
       73:{1,5}:{(65,1),(67,1)}
       74:{1,4,7}:{(65,1),(66,1),(68,1),(79,1)}
       75:{3,5,7}:{(67,1),(68,1),(69,1),(78,1),(79,1),(80,1)}
       76:{4,6}:{(69,1),(80,1),(81,1)}
       77:{5,7}:{(70,1),(81,1)}
       78:{2,5,7}:{(71,1),(72,1),(75,1),(82,1)}
       79:{1,5,7}:{(73,1),(74,1),(75,1),(83,1)}
       80:{3,6}:{(75,1),(76,1),(82,1),(83,1)}
       81:{5,6}:{(76,1),(77,1)}
       82:{2,6}:{(78,1),(80,1)}
       83:{1,6}:{(79,1),(80,1)}

 388 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(11,1),(25,1),(31,1),(70,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(91,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(15,1),(42,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(11,1),(22,1),(23,1),(25,1),(30,1),(35,1),(69,1),(71,1),(107,1)}
         4:{3,4,7}:{(1,1),(6,1),(10,1),(69,1),(113,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1)}
         6:{3,5,7}:{(3,1),(4,1),(15,1),(21,1),(92,1),(125,1)}
         7:{1,2,4,6}:{(3,1),(15,1),(17,1),(37,1),(38,1),(42,1),(48,1)}
         8:{1,3,4,7}:{(4,1),(13,1),(18,1),(19,1),(74,1),(87,1),(125,1),(130,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(20,1),(74,1),(89,1),(125,1),(131,1)}
        10:{3,4,6}:{(4,1),(5,1),(15,1),(21,1),(48,1)}
        11:{1,2,5}:{(5,1),(21,1)}
        12:{3,4,5,7}:{(6,1),(22,1),(23,1),(24,1),(35,1),(53,1),(59,1),(69,1),(72,1),(73,1),(109,1),(111,1),(133,1),(134,1)}
        13:{1,3,5,7}:{(6,1),(8,1),(22,1),(25,1),(26,1),(33,1),(53,1),(114,1),(139,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(23,1),(25,1),(27,1),(34,1),(53,1),(115,1),(140,1)}
        15:{3,6}:{(6,1),(7,1)}
        16:{1,2,4,6,7}:{(7,1),(28,1),(30,1),(55,1),(57,1),(63,1),(69,1),(107,1)}
        17:{1,2,5,6}:{(7,1),(11,1),(29,1),(30,1),(56,1),(58,1)}
        18:{1,2,4,7}:{(8,1),(9,1),(25,1),(31,1),(32,1),(142,1)}
        19:{1,3,4,6}:{(8,1),(10,1),(26,1),(32,1),(33,1),(66,1),(95,1),(108,1),(113,1)}
        20:{2,3,4,6}:{(9,1),(10,1),(27,1),(32,1),(34,1),(68,1),(95,1),(108,1),(113,1)}
        21:{3,5}:{(10,1),(11,1),(35,1)}
        22:{1,4,5,7}:{(12,1),(13,1),(37,1),(51,1),(78,1),(87,1),(94,1),(129,1)}
        23:{2,4,5,7}:{(12,1),(14,1),(38,1),(52,1),(80,1),(89,1),(93,1),(128,1)}
        24:{3,4,6}:{(12,1),(15,1),(37,1),(38,1),(40,1),(48,1),(75,1),(118,1)}
        25:{1,2,5,7}:{(13,1),(14,1),(18,1),(42,1),(50,1),(132,1),(145,1)}
        26:{1,3,6}:{(13,1),(15,1),(37,1),(42,1),(75,1)}
        27:{2,3,6}:{(14,1),(15,1),(38,1),(42,1),(75,1)}
        28:{3,6,7}:{(15,1),(16,1),(47,1),(125,1)}
        29:{3,5,6}:{(15,1),(17,1),(21,1),(47,1),(48,1)}
        30:{1,2,5,7}:{(16,1),(17,1),(47,1),(78,1),(80,1)}
        31:{1,2,3,7}:{(18,1),(49,1),(125,1),(145,1),(146,1)}
        32:{1,2,4,6}:{(18,1),(19,1),(20,1),(42,1),(49,1),(50,1),(91,1)}
        33:{1,3,5}:{(19,1),(21,1),(50,1),(51,1),(92,1),(116,1)}
        34:{2,3,5}:{(20,1),(21,1),(50,1),(52,1),(92,1),(116,1)}
        35:{4,5}:{(21,1),(48,1)}
        36:{1,2,4,5,7}:{(22,1),(23,1),(25,1),(53,1),(54,1),(61,1),(71,1),(98,1),(106,1),(107,1),(133,1),(134,1)}
        37:{1,4,6}:{(22,1),(24,1),(26,1),(56,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(58,1)}
        39:{3,4,6,7}:{(24,1),(28,1),(55,1),(57,1),(59,1),(69,1),(96,1),(105,1),(109,1),(111,1),(134,1),(135,1),(137,1)}
        40:{3,5,6}:{(24,1),(56,1),(58,1),(59,1),(60,1)}
        41:{1,2,3,5,7}:{(25,1),(31,1),(53,1),(61,1),(62,1),(70,1),(106,1)}
        42:{1,2,6}:{(25,1),(26,1),(27,1)}
        43:{1,3,6,7}:{(26,1),(28,1),(55,1),(63,1),(65,1),(96,1),(135,1),(139,1)}
        44:{1,3,5,6}:{(26,1),(29,1),(33,1),(56,1),(64,1),(65,1),(66,1),(97,1),(101,1),(108,1)}
        45:{2,3,6,7}:{(27,1),(28,1),(57,1),(63,1),(67,1),(96,1),(137,1),(140,1)}
        46:{2,3,5,6}:{(27,1),(29,1),(34,1),(58,1),(64,1),(67,1),(68,1),(97,1),(104,1),(108,1)}
        47:{3,5,7}:{(28,1),(29,1),(30,1),(69,1)}
        48:{4,6}:{(29,1),(35,1),(69,1)}
        49:{1,2,3,6}:{(31,1),(32,1),(70,1),(108,1),(141,1)}
        50:{1,2,5}:{(32,1),(33,1),(34,1)}
        51:{1,4,5}:{(33,1),(35,1),(66,1),(72,1),(133,1)}
        52:{2,4,5}:{(34,1),(35,1),(68,1),(73,1),(133,1)}
        53:{3,5,7}:{(36,1),(74,1),(75,1),(92,1),(116,1),(125,1)}
        54:{1,2,4,6}:{(36,1),(37,1),(38,1),(42,1),(75,1),(77,1),(118,1)}
        55:{1,4,6,7}:{(37,1),(39,1),(43,1),(78,1),(87,1),(129,1),(144,1)}
        56:{1,5,6}:{(37,1),(40,1),(78,1)}
        57:{2,4,6,7}:{(38,1),(39,1),(45,1),(80,1),(89,1),(128,1),(143,1)}
        58:{2,5,6}:{(38,1),(40,1),(80,1)}
        59:{3,5,7}:{(39,1),(40,1),(78,1),(80,1),(83,1)}
        60:{4,5,6}:{(40,1),(48,1),(83,1),(118,1)}
        61:{1,2,4,7}:{(41,1),(74,1),(84,1),(91,1)}
        62:{1,2,3,6}:{(41,1),(42,1),(75,1),(84,1)}
        63:{1,2,6,7}:{(42,1),(43,1),(45,1),(85,1),(143,1),(144,1),(145,1)}
        64:{1,2,5,6}:{(42,1),(44,1),(46,1),(50,1),(85,1),(86,1),(121,1),(124,1)}
        65:{1,3,5,7}:{(43,1),(44,1),(47,1),(78,1),(85,1),(87,1),(117,1),(120,1),(125,1)}
        66:{1,4,6}:{(44,1),(48,1),(51,1),(87,1),(88,1),(118,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(47,1),(80,1),(85,1),(89,1),(117,1),(123,1),(125,1)}
        68:{2,4,6}:{(46,1),(48,1),(52,1),(89,1),(90,1),(118,1)}
        69:{4,7}:{(47,1),(48,1)}
        70:{1,2,3,5}:{(49,1),(50,1),(91,1),(92,1),(132,1),(146,1)}
        71:{1,2,4,5}:{(50,1),(51,1),(52,1),(86,1),(91,1),(92,1),(93,1),(94,1),(132,1)}
        72:{3,4,5}:{(51,1),(88,1),(92,1),(93,1)}
        73:{3,4,5}:{(52,1),(90,1),(92,1),(94,1)}
        74:{3,4,7}:{(53,1),(61,1),(95,1),(113,1),(134,1)}
        75:{3,6}:{(53,1),(54,1)}
        76:{1,2,4,6,7}:{(54,1),(55,1),(57,1),(63,1),(96,1),(98,1),(107,1),(134,1)}
        77:{1,2,5,6}:{(54,1),(56,1),(58,1),(97,1),(98,1),(106,1)}
        78:{1,5,7}:{(55,1),(56,1),(59,1)}
        79:{1,4,5,6}:{(56,1),(60,1),(66,1),(100,1),(101,1)}
        80:{2,5,7}:{(57,1),(58,1),(59,1)}
        81:{2,4,5,6}:{(58,1),(60,1),(68,1),(103,1),(104,1)}
        82:{3,5,6,7}:{(59,1),(99,1),(102,1),(105,1),(135,1),(137,1)}
        83:{4,5,7}:{(59,1),(60,1),(69,1),(105,1),(134,1)}
        84:{1,2,4,6}:{(61,1),(62,1),(95,1),(106,1)}
        85:{1,2,5,7}:{(63,1),(64,1),(65,1),(67,1),(107,1),(136,1),(138,1)}
        86:{1,2,4,6}:{(64,1),(66,1),(68,1),(71,1),(107,1),(108,1),(110,1),(112,1),(141,1)}
        87:{1,4,7}:{(65,1),(66,1),(69,1),(109,1),(134,1)}
        88:{3,4,6}:{(66,1),(72,1),(101,1),(108,1),(109,1),(110,1)}
        89:{2,4,7}:{(67,1),(68,1),(69,1),(111,1),(134,1)}
        90:{3,4,6}:{(68,1),(73,1),(104,1),(108,1),(111,1),(112,1)}
        91:{1,2,4}:{(70,1),(113,1)}
        92:{3,5}:{(71,1),(108,1),(113,1)}
        93:{2,4,5}:{(72,1),(110,1),(115,1)}
        94:{1,4,5}:{(73,1),(112,1),(114,1)}
        95:{3,4,6}:{(74,1),(75,1),(84,1),(116,1),(118,1)}
        96:{3,6,7}:{(75,1),(76,1),(117,1),(125,1)}
        97:{3,5,6}:{(75,1),(77,1),(116,1),(117,1),(118,1)}
        98:{1,2,5,7}:{(76,1),(77,1),(78,1),(80,1),(117,1)}
        99:{1,5,6,7}:{(78,1),(82,1),(119,1),(144,1)}
       100:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(119,1),(120,1)}
       101:{3,5,6}:{(79,1),(88,1),(120,1),(121,1)}
       102:{2,5,6,7}:{(80,1),(82,1),(122,1),(143,1)}
       103:{2,4,5,7}:{(80,1),(81,1),(83,1),(89,1),(122,1),(123,1)}
       104:{3,5,6}:{(81,1),(90,1),(123,1),(124,1)}
       105:{4,6,7}:{(82,1),(83,1)}
       106:{1,2,5}:{(84,1),(116,1)}
       107:{1,2,4,7}:{(85,1),(86,1),(87,1),(89,1),(125,1),(128,1),(129,1),(145,1)}
       108:{3,6}:{(86,1),(92,1),(125,1)}
       109:{3,4,7}:{(87,1),(88,1),(120,1),(125,1),(128,1)}
       110:{2,4,6}:{(88,1),(93,1),(121,1),(127,1),(128,1)}
       111:{3,4,7}:{(89,1),(90,1),(123,1),(125,1),(129,1)}
       112:{1,4,6}:{(90,1),(94,1),(124,1),(126,1),(129,1)}
       113:{3,4}:{(91,1),(92,1)}
       114:{1,3,5}:{(92,1),(94,1),(126,1),(130,1),(132,1)}
       115:{2,3,5}:{(92,1),(93,1),(127,1),(131,1),(132,1)}
       116:{3,5}:{(95,1),(106,1),(133,1)}
       117:{3,5,7}:{(96,1),(97,1),(98,1),(134,1)}
       118:{4,6}:{(97,1),(133,1),(134,1)}
       119:{1,4,6,7}:{(99,1),(100,1),(105,1),(135,1)}
       120:{3,5,7}:{(100,1),(101,1),(109,1),(135,1),(136,1)}
       121:{2,5,6}:{(101,1),(110,1),(136,1)}
       122:{2,4,6,7}:{(102,1),(103,1),(105,1),(137,1)}
       123:{3,5,7}:{(103,1),(104,1),(111,1),(137,1),(138,1)}
       124:{1,5,6}:{(104,1),(112,1),(138,1)}
       125:{3,7}:{(107,1),(108,1)}
       126:{1,3,6}:{(108,1),(112,1),(114,1),(139,1),(141,1)}
       127:{2,3,6}:{(108,1),(110,1),(115,1),(140,1),(141,1)}
       128:{2,4,7}:{(109,1),(110,1),(136,1),(140,1)}
       129:{1,4,7}:{(111,1),(112,1),(138,1),(139,1)}
       130:{1,3,4}:{(113,1),(114,1),(142,1)}
       131:{2,3,4}:{(113,1),(115,1),(142,1)}
       132:{1,2,5}:{(114,1),(115,1),(141,1),(142,1)}
       133:{4,5}:{(116,1),(118,1)}
       134:{4,7}:{(117,1),(118,1)}
       135:{3,6,7}:{(119,1),(120,1),(143,1)}
       136:{2,5,7}:{(120,1),(121,1),(128,1),(143,1)}
       137:{3,6,7}:{(122,1),(123,1),(144,1)}
       138:{1,5,7}:{(123,1),(124,1),(129,1),(144,1)}
       139:{1,3,7}:{(125,1),(126,1),(129,1),(145,1)}
       140:{2,3,7}:{(125,1),(127,1),(128,1),(145,1)}
       141:{1,2,6}:{(126,1),(127,1),(132,1),(145,1)}
       142:{1,2,4}:{(130,1),(131,1),(132,1),(146,1)}
       143:{2,6,7}:{(135,1),(136,1)}
       144:{1,6,7}:{(137,1),(138,1)}
       145:{1,2,7}:{(139,1),(140,1),(141,1)}
       146:{1,2,3}:{(142,1)}

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

 390 :   0:{1,2,3,5}:{(1,1),(2,1),(7,1),(10,1),(13,1),(31,1)}
         1:{1,2,4}:{(0,1),(3,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(20,1),(48,1)}
         3:{3,4}:{(1,1),(10,1)}
         4:{1,2,4,5}:{(1,1),(10,1),(12,1),(13,1),(28,1),(29,1),(31,1),(36,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(39,1)}
         6:{1,2,3,7}:{(2,1),(14,1),(35,1),(67,1)}
         7:{1,2,3}:{(17,1)}
         8:{2,3,4}:{(3,1),(17,1),(18,1),(40,1)}
         9:{1,3,4}:{(3,1),(17,1),(19,1),(40,1)}
        10:{3,5}:{(3,1),(4,1),(20,1)}
        11:{3,4,6}:{(3,1),(5,1),(20,1),(21,1),(22,1),(51,1),(54,1)}
        12:{1,2,4,6}:{(4,1),(20,1),(23,1),(24,1),(44,1),(45,1),(48,1),(51,1)}
        13:{1,2,5}:{(5,1),(21,1)}
        14:{1,2,4,7}:{(5,1),(6,1),(22,1),(25,1)}
        15:{1,2,3,5}:{(7,1),(26,1),(27,1),(31,1),(56,1),(59,1)}
        16:{3,4,5}:{(10,1),(28,1),(29,1),(30,1),(36,1),(56,1),(85,1)}
        17:{1,2,4}:{(7,1),(8,1),(9,1),(31,1)}
        18:{2,3,5}:{(8,1),(10,1),(28,1),(31,1),(32,1),(56,1)}
        19:{1,3,5}:{(9,1),(10,1),(29,1),(31,1),(33,1),(56,1)}
        20:{3,6}:{(10,1),(12,1),(35,1)}
        21:{3,5}:{(11,1),(13,1),(36,1)}
        22:{3,4,7}:{(11,1),(14,1),(35,1),(37,1),(68,1)}
        23:{1,2,5,6}:{(12,1),(13,1),(34,1),(38,1),(39,1),(61,1),(63,1)}
        24:{1,2,4,7}:{(12,1),(35,1),(38,1),(62,1),(64,1),(67,1),(68,1)}
        25:{1,2,5,7}:{(13,1),(14,1),(37,1),(39,1)}
        26:{1,2,4}:{(15,1),(40,1)}
        27:{1,2,3,6}:{(15,1),(42,1),(43,1),(48,1),(71,1)}
        28:{2,4,5}:{(16,1),(18,1),(44,1)}
        29:{1,4,5}:{(16,1),(19,1),(45,1)}
        30:{3,4,6}:{(16,1),(20,1),(44,1),(45,1),(46,1),(47,1),(51,1),(71,1),(93,1)}
        31:{1,2,5}:{(17,1),(18,1),(19,1),(48,1)}
        32:{2,3,6}:{(18,1),(20,1),(44,1),(48,1),(49,1),(71,1)}
        33:{1,3,6}:{(19,1),(20,1),(45,1),(48,1),(50,1),(71,1)}
        34:{3,5,6}:{(20,1),(21,1),(23,1),(51,1),(52,1),(54,1),(82,1)}
        35:{3,7}:{(20,1),(24,1)}
        36:{4,5}:{(21,1),(51,1)}
        37:{3,5,7}:{(21,1),(22,1),(25,1),(53,1),(54,1)}
        38:{1,2,5,7}:{(23,1),(24,1),(52,1),(55,1),(77,1),(78,1)}
        39:{1,2,6}:{(25,1),(54,1)}
        40:{3,4}:{(26,1),(56,1)}
        41:{1,2,4,5}:{(26,1),(28,1),(29,1),(31,1),(56,1),(58,1),(59,1),(85,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(57,1),(59,1),(60,1),(88,1)}
        43:{1,2,3,7}:{(27,1),(60,1),(67,1),(84,1)}
        44:{2,4,6}:{(28,1),(30,1),(32,1),(61,1),(62,1)}
        45:{1,4,6}:{(29,1),(30,1),(33,1),(63,1),(64,1)}
        46:{3,5,6}:{(30,1),(61,1),(63,1),(65,1),(66,1)}
        47:{3,4,7}:{(30,1),(35,1),(62,1),(64,1),(66,1),(68,1),(84,1),(99,1)}
        48:{1,2,6}:{(31,1),(32,1),(33,1),(67,1)}
        49:{2,3,7}:{(32,1),(35,1),(62,1),(67,1),(84,1)}
        50:{1,3,7}:{(33,1),(35,1),(64,1),(67,1),(84,1)}
        51:{4,6}:{(34,1),(36,1),(68,1)}
        52:{3,5,7}:{(34,1),(35,1),(38,1),(68,1),(69,1),(92,1)}
        53:{4,5,7}:{(36,1),(37,1),(68,1),(70,1),(92,1)}
        54:{3,6}:{(37,1),(39,1),(70,1)}
        55:{1,2,6,7}:{(38,1),(39,1),(69,1),(89,1),(90,1)}
        56:{3,5}:{(40,1),(41,1),(71,1)}
        57:{3,4,6}:{(40,1),(42,1),(71,1),(72,1),(73,1),(93,1),(96,1)}
        58:{1,2,4,6}:{(41,1),(44,1),(45,1),(48,1),(71,1),(74,1),(75,1),(93,1)}
        59:{1,2,5}:{(42,1),(72,1)}
        60:{1,2,4,7}:{(42,1),(43,1),(73,1),(76,1)}
        61:{2,5,6}:{(44,1),(46,1),(77,1)}
        62:{2,4,7}:{(44,1),(47,1),(49,1),(77,1)}
        63:{1,5,6}:{(45,1),(46,1),(78,1)}
        64:{1,4,7}:{(45,1),(47,1),(50,1),(78,1)}
        65:{4,5,6}:{(46,1),(51,1),(79,1),(82,1),(93,1),(103,1)}
        66:{3,5,7}:{(46,1),(47,1),(77,1),(78,1),(79,1),(80,1)}
        67:{1,2,7}:{(48,1),(49,1),(50,1)}
        68:{4,7}:{(51,1),(52,1)}
        69:{3,6,7}:{(52,1),(54,1),(55,1),(81,1)}
        70:{4,6}:{(53,1),(54,1),(82,1)}
        71:{3,6}:{(56,1),(58,1),(84,1)}
        72:{3,5}:{(57,1),(59,1),(85,1)}
        73:{3,4,7}:{(57,1),(60,1),(84,1),(86,1),(99,1)}
        74:{1,2,5,6}:{(58,1),(59,1),(61,1),(63,1),(83,1),(87,1),(88,1)}
        75:{1,2,4,7}:{(58,1),(62,1),(64,1),(67,1),(84,1),(87,1),(99,1)}
        76:{1,2,5,7}:{(59,1),(60,1),(86,1),(88,1)}
        77:{2,5,7}:{(61,1),(62,1),(66,1),(89,1)}
        78:{1,5,7}:{(63,1),(64,1),(66,1),(90,1)}
        79:{4,5,7}:{(65,1),(66,1),(68,1),(91,1),(92,1),(99,1),(104,1)}
        80:{3,6,7}:{(66,1),(89,1),(90,1),(91,1)}
        81:{4,6,7}:{(68,1),(69,1),(70,1),(92,1)}
        82:{5,6}:{(70,1),(92,1)}
        83:{3,5,6}:{(71,1),(72,1),(74,1),(93,1),(94,1),(96,1),(103,1)}
        84:{3,7}:{(71,1),(75,1)}
        85:{4,5}:{(72,1),(93,1)}
        86:{3,5,7}:{(72,1),(73,1),(76,1),(95,1),(96,1)}
        87:{1,2,5,7}:{(74,1),(75,1),(77,1),(78,1),(94,1),(97,1)}
        88:{1,2,6}:{(76,1),(96,1)}
        89:{2,6,7}:{(77,1),(80,1)}
        90:{1,6,7}:{(78,1),(80,1)}
        91:{4,6,7}:{(79,1),(80,1),(98,1)}
        92:{5,7}:{(81,1),(82,1)}
        93:{4,6}:{(83,1),(85,1),(99,1)}
        94:{3,5,7}:{(83,1),(84,1),(87,1),(99,1),(100,1),(104,1)}
        95:{4,5,7}:{(85,1),(86,1),(99,1),(101,1),(104,1)}
        96:{3,6}:{(86,1),(88,1),(101,1)}
        97:{1,2,6,7}:{(87,1),(88,1),(89,1),(90,1),(100,1)}
        98:{5,6,7}:{(91,1),(92,1),(104,1)}
        99:{4,7}:{(93,1),(94,1)}
       100:{3,6,7}:{(94,1),(96,1),(97,1),(102,1)}
       101:{4,6}:{(95,1),(96,1),(103,1)}
       102:{4,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       103:{5,6}:{(101,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

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

 392 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(14,1),(18,1),(34,1),(38,1),(72,1),(73,1),(74,1),(102,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(62,1),(63,1),(87,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(27,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(57,1),(88,1),(101,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(15,1),(43,1),(95,1)}
         5:{3,4,6}:{(3,1),(10,1),(12,1),(13,1),(14,1),(47,1),(76,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(44,1),(45,1),(48,1),(74,1)}
         7:{3,5,7}:{(2,1),(3,1),(12,1),(15,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(16,1),(18,1),(32,1),(47,1),(66,1),(71,1),(72,1),(93,1),(95,1),(103,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(33,1),(47,1),(68,1),(69,1),(73,1),(91,1),(95,1),(102,1)}
        10:{3,4,5}:{(5,1),(20,1),(21,1),(57,1),(101,1)}
        11:{4,6,7}:{(4,1),(24,1),(100,1)}
        12:{3,4,7}:{(5,1),(7,1),(26,1),(27,1),(65,1)}
        13:{1,4,6}:{(5,1),(8,1),(20,1),(26,1),(86,1),(100,1)}
        14:{2,4,6}:{(5,1),(9,1),(21,1),(27,1),(83,1),(100,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(26,1),(29,1),(31,1),(62,1),(65,1),(90,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(27,1),(30,1),(31,1),(63,1),(65,1),(90,1)}
        18:{1,2,5,6}:{(8,1),(9,1),(28,1),(31,1),(50,1),(52,1),(81,1),(84,1)}
        19:{3,4,5,7}:{(10,1),(12,1),(35,1),(36,1),(37,1),(43,1),(75,1),(97,1),(104,1)}
        20:{1,4,5}:{(10,1),(13,1),(32,1),(103,1),(104,1)}
        21:{2,4,5}:{(10,1),(14,1),(33,1),(102,1),(104,1)}
        22:{1,3,4,6}:{(13,1),(32,1),(39,1),(40,1),(47,1),(66,1),(76,1),(96,1)}
        23:{2,3,4,6}:{(14,1),(33,1),(41,1),(42,1),(47,1),(69,1),(76,1),(96,1)}
        24:{4,5,7}:{(11,1),(34,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(15,1),(35,1),(43,1),(44,1),(45,1),(80,1),(96,1),(97,1)}
        26:{1,4,7}:{(12,1),(13,1),(16,1),(97,1)}
        27:{2,4,7}:{(12,1),(14,1),(17,1),(97,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(18,1),(38,1),(46,1),(47,1)}
        29:{1,3,6,7}:{(15,1),(16,1),(44,1),(48,1),(66,1),(80,1),(93,1)}
        30:{2,3,6,7}:{(15,1),(17,1),(45,1),(48,1),(69,1),(80,1),(91,1)}
        31:{1,2,5,7}:{(16,1),(17,1),(18,1),(46,1),(48,1)}
        32:{1,3,5}:{(20,1),(22,1),(50,1),(57,1),(101,1)}
        33:{2,3,5}:{(21,1),(23,1),(52,1),(57,1),(101,1)}
        34:{4,5,6}:{(24,1),(53,1),(100,1)}
        35:{3,4,6}:{(19,1),(53,1),(54,1),(55,1),(88,1),(100,1)}
        36:{1,4,5,7}:{(19,1),(20,1),(26,1),(49,1),(54,1),(62,1)}
        37:{2,4,5,7}:{(19,1),(21,1),(27,1),(51,1),(55,1),(63,1)}
        38:{1,2,4,5}:{(20,1),(21,1),(28,1),(50,1),(52,1),(57,1),(83,1),(86,1)}
        39:{1,3,4,7}:{(22,1),(26,1),(49,1),(58,1),(65,1),(89,1)}
        40:{1,2,4,6}:{(22,1),(50,1),(58,1),(59,1),(81,1),(83,1),(98,1)}
        41:{2,3,4,7}:{(23,1),(27,1),(51,1),(60,1),(65,1),(89,1)}
        42:{1,2,4,6}:{(23,1),(52,1),(60,1),(61,1),(84,1),(86,1),(99,1)}
        43:{3,5,7}:{(24,1),(25,1),(53,1),(62,1),(63,1),(101,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(54,1),(62,1),(99,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(55,1),(63,1),(98,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(28,1),(31,1),(65,1)}
        47:{3,6}:{(28,1),(57,1),(65,1)}
        48:{1,2,6,7}:{(29,1),(30,1),(31,1),(81,1),(84,1)}
        49:{1,3,5,7}:{(32,1),(36,1),(39,1),(66,1),(67,1),(75,1)}
        50:{1,2,5}:{(32,1),(40,1),(68,1),(102,1)}
        51:{2,3,5,7}:{(33,1),(37,1),(41,1),(69,1),(70,1),(75,1)}
        52:{1,2,5}:{(33,1),(42,1),(71,1),(103,1)}
        53:{3,5,6}:{(34,1),(35,1),(43,1),(72,1),(73,1)}
        54:{1,4,6}:{(35,1),(36,1),(66,1),(72,1)}
        55:{2,4,6}:{(35,1),(37,1),(69,1),(73,1)}
        56:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(46,1),(67,1),(70,1),(74,1),(75,1),(79,1),(92,1),(94,1),(97,1),(102,1),(103,1),(104,1)}
        57:{3,5}:{(38,1),(47,1),(76,1)}
        58:{1,2,4,7}:{(39,1),(40,1),(67,1),(77,1),(92,1)}
        59:{2,3,6}:{(40,1),(47,1),(68,1),(77,1)}
        60:{1,2,4,7}:{(41,1),(42,1),(70,1),(78,1),(94,1)}
        61:{1,3,6}:{(42,1),(47,1),(71,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(72,1),(103,1)}
        63:{2,5,7}:{(43,1),(45,1),(73,1),(102,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(48,1),(74,1),(79,1),(80,1),(97,1)}
        65:{3,7}:{(46,1),(47,1)}
        66:{1,3,6}:{(49,1),(54,1),(81,1),(88,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(58,1),(81,1),(82,1)}
        68:{2,3,5}:{(50,1),(57,1),(59,1),(83,1)}
        69:{2,3,6}:{(51,1),(55,1),(84,1),(88,1)}
        70:{1,2,5,7}:{(51,1),(52,1),(60,1),(84,1),(85,1)}
        71:{1,3,5}:{(52,1),(57,1),(61,1),(86,1)}
        72:{1,5,6}:{(53,1),(54,1),(62,1)}
        73:{2,5,6}:{(53,1),(55,1),(63,1)}
        74:{1,2,4,6}:{(54,1),(55,1),(56,1),(81,1),(84,1),(87,1),(88,1),(98,1),(99,1),(100,1)}
        75:{3,5,7}:{(56,1),(57,1),(65,1),(88,1),(89,1),(101,1)}
        76:{3,4}:{(57,1),(83,1),(86,1)}
        77:{2,3,7}:{(58,1),(59,1),(65,1)}
        78:{1,3,7}:{(60,1),(61,1),(65,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(87,1),(90,1)}
        80:{3,6,7}:{(64,1),(65,1),(88,1),(90,1)}
        81:{1,2,6}:{(66,1),(67,1),(91,1)}
        82:{2,3,5,7}:{(67,1),(68,1),(75,1),(77,1),(91,1),(92,1),(102,1)}
        83:{2,4}:{(68,1),(76,1)}
        84:{1,2,6}:{(69,1),(70,1),(93,1)}
        85:{1,3,5,7}:{(70,1),(71,1),(75,1),(78,1),(93,1),(94,1),(103,1)}
        86:{1,4}:{(71,1),(76,1)}
        87:{1,2,5,6}:{(72,1),(73,1),(74,1),(79,1),(95,1),(102,1),(103,1)}
        88:{3,6}:{(74,1),(75,1)}
        89:{3,4,7}:{(75,1),(76,1),(92,1),(94,1),(96,1),(97,1)}
        90:{3,5,7}:{(79,1),(80,1),(95,1),(97,1)}
        91:{2,3,6}:{(81,1),(82,1),(88,1),(98,1)}
        92:{2,4,7}:{(82,1),(83,1),(89,1),(98,1)}
        93:{1,3,6}:{(84,1),(85,1),(88,1),(99,1)}
        94:{1,4,7}:{(85,1),(86,1),(89,1),(99,1)}
        95:{3,5,6}:{(87,1),(88,1),(90,1),(100,1),(101,1)}
        96:{3,4,6}:{(88,1),(89,1),(98,1),(99,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(100,1)}
        98:{2,4,6}:{(91,1),(92,1),(96,1),(102,1)}
        99:{1,4,6}:{(93,1),(94,1),(96,1),(103,1)}
       100:{4,6}:{(95,1),(97,1),(104,1)}
       101:{3,5}:{(96,1),(102,1),(103,1),(104,1)}
       102:{2,5}:{(98,1),(101,1)}
       103:{1,5}:{(99,1),(101,1)}
       104:{4,5}:{(100,1),(101,1)}

 393 :   0:{1,2,5,6,7}:{(1,1),(2,1),(30,1),(31,1),(59,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(17,1),(75,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(19,1),(24,1),(74,1)}
         3:{1,2,4,5,6}:{(5,1),(7,1),(16,1),(25,1),(26,1),(27,1),(42,1),(43,1),(50,1),(74,1),(97,1),(103,1),(104,1)}
         4:{4,6,7}:{(1,1),(8,1),(88,1)}
         5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(10,1),(30,1),(31,1),(35,1),(36,1),(37,1)}
         6:{3,6,7}:{(2,1),(10,1),(87,1)}
         7:{3,5,6}:{(3,1),(10,1),(13,1),(66,1),(87,1),(102,1)}
         8:{4,5,7}:{(4,1),(16,1),(17,1),(79,1),(97,1)}
         9:{3,4,6,7}:{(4,1),(6,1),(17,1),(18,1),(19,1),(21,1),(41,1),(47,1),(79,1),(96,1)}
        10:{3,5,7}:{(5,1),(6,1),(7,1),(21,1)}
        11:{1,3,6,7}:{(6,1),(18,1),(22,1),(24,1),(47,1),(72,1),(95,1)}
        12:{2,3,6,7}:{(6,1),(19,1),(23,1),(24,1),(47,1),(73,1),(94,1)}
        13:{3,4,6}:{(7,1),(20,1),(21,1),(25,1),(26,1),(56,1),(82,1)}
        14:{1,3,5,6}:{(7,1),(22,1),(25,1),(27,1),(42,1),(48,1),(56,1),(72,1),(75,1),(81,1),(95,1),(104,1)}
        15:{2,3,5,6}:{(7,1),(23,1),(26,1),(27,1),(43,1),(49,1),(56,1),(73,1),(75,1),(80,1),(94,1),(103,1)}
        16:{4,5,6}:{(8,1),(28,1),(88,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(30,1),(31,1),(102,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(30,1),(35,1),(57,1),(101,1)}
        19:{2,4,6,7}:{(9,1),(12,1),(31,1),(36,1),(58,1),(100,1)}
        20:{3,4,5}:{(13,1),(33,1),(34,1),(66,1),(102,1)}
        21:{3,4,7}:{(10,1),(13,1),(35,1),(36,1),(69,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(30,1),(35,1),(37,1),(63,1),(69,1)}
        23:{2,3,5,7}:{(10,1),(12,1),(15,1),(31,1),(36,1),(37,1),(63,1),(69,1)}
        24:{1,2,6,7}:{(11,1),(12,1),(37,1),(85,1),(86,1)}
        25:{1,4,6}:{(13,1),(14,1),(33,1),(35,1),(88,1),(93,1)}
        26:{2,4,6}:{(13,1),(15,1),(34,1),(36,1),(88,1),(92,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(37,1),(40,1),(64,1),(65,1),(85,1),(86,1)}
        28:{3,5,6}:{(16,1),(17,1),(41,1),(42,1),(43,1)}
        29:{3,4,5,7}:{(17,1),(20,1),(21,1),(41,1),(44,1),(45,1),(78,1),(79,1),(97,1)}
        30:{1,5,7}:{(17,1),(18,1),(42,1),(104,1)}
        31:{2,5,7}:{(17,1),(19,1),(43,1),(103,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(24,1),(46,1),(47,1),(53,1),(74,1),(79,1)}
        33:{1,4,5}:{(20,1),(25,1),(48,1),(97,1),(104,1)}
        34:{2,4,5}:{(20,1),(26,1),(49,1),(97,1),(103,1)}
        35:{1,4,7}:{(21,1),(22,1),(25,1),(79,1)}
        36:{2,4,7}:{(21,1),(23,1),(26,1),(79,1)}
        37:{1,2,5,7}:{(22,1),(23,1),(24,1),(27,1),(53,1)}
        38:{1,3,4,6}:{(25,1),(48,1),(51,1),(54,1),(56,1),(72,1),(82,1),(96,1)}
        39:{2,3,4,6}:{(26,1),(49,1),(52,1),(55,1),(56,1),(73,1),(82,1),(96,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(50,1),(53,1),(56,1)}
        41:{3,4,6}:{(28,1),(29,1),(57,1),(58,1),(87,1),(88,1)}
        42:{1,5,6}:{(28,1),(30,1),(57,1)}
        43:{2,5,6}:{(28,1),(31,1),(58,1)}
        44:{1,4,5,7}:{(29,1),(30,1),(33,1),(35,1),(57,1),(60,1)}
        45:{2,4,5,7}:{(29,1),(31,1),(34,1),(36,1),(58,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(32,1),(59,1),(63,1)}
        47:{3,6,7}:{(32,1),(63,1),(69,1),(87,1)}
        48:{1,3,5}:{(33,1),(38,1),(64,1),(66,1),(102,1)}
        49:{2,3,5}:{(34,1),(39,1),(65,1),(66,1),(102,1)}
        50:{1,2,4,5}:{(33,1),(34,1),(40,1),(64,1),(65,1),(66,1),(92,1),(93,1)}
        51:{1,3,4,7}:{(35,1),(38,1),(60,1),(67,1),(69,1),(91,1)}
        52:{2,3,4,7}:{(36,1),(39,1),(61,1),(68,1),(69,1),(91,1)}
        53:{1,2,4,7}:{(35,1),(36,1),(37,1),(40,1),(69,1)}
        54:{1,2,4,6}:{(38,1),(64,1),(67,1),(70,1),(85,1),(92,1),(100,1)}
        55:{1,2,4,6}:{(39,1),(65,1),(68,1),(71,1),(86,1),(93,1),(101,1)}
        56:{3,6}:{(40,1),(66,1),(69,1)}
        57:{1,4,6}:{(41,1),(42,1),(44,1),(72,1)}
        58:{2,4,6}:{(41,1),(43,1),(45,1),(73,1)}
        59:{1,2,5,6}:{(42,1),(43,1),(46,1),(74,1),(75,1),(103,1),(104,1)}
        60:{1,3,5,7}:{(44,1),(48,1),(51,1),(72,1),(76,1),(78,1)}
        61:{2,3,5,7}:{(45,1),(49,1),(52,1),(73,1),(77,1),(78,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(53,1),(74,1),(76,1),(77,1),(78,1),(79,1),(97,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5,7}:{(46,1),(47,1),(75,1),(79,1)}
        64:{1,2,5}:{(48,1),(54,1),(80,1),(103,1)}
        65:{1,2,5}:{(49,1),(55,1),(81,1),(104,1)}
        66:{3,5}:{(50,1),(56,1),(82,1)}
        67:{1,2,4,7}:{(51,1),(54,1),(76,1),(83,1),(98,1)}
        68:{1,2,4,7}:{(52,1),(55,1),(77,1),(84,1),(99,1)}
        69:{3,7}:{(53,1),(56,1)}
        70:{2,3,6}:{(54,1),(56,1),(80,1),(83,1)}
        71:{1,3,6}:{(55,1),(56,1),(81,1),(84,1)}
        72:{1,3,6}:{(57,1),(60,1),(85,1),(87,1)}
        73:{2,3,6}:{(58,1),(61,1),(86,1),(87,1)}
        74:{1,2,4,6}:{(57,1),(58,1),(59,1),(62,1),(85,1),(86,1),(87,1),(88,1),(100,1),(101,1)}
        75:{3,5,6}:{(59,1),(63,1),(87,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(60,1),(64,1),(67,1),(85,1),(89,1)}
        77:{1,2,5,7}:{(61,1),(65,1),(68,1),(86,1),(90,1)}
        78:{3,5,7}:{(62,1),(66,1),(69,1),(87,1),(91,1),(102,1)}
        79:{4,7}:{(63,1),(88,1)}
        80:{2,3,5}:{(64,1),(66,1),(70,1),(92,1)}
        81:{1,3,5}:{(65,1),(66,1),(71,1),(93,1)}
        82:{3,4}:{(66,1),(92,1),(93,1)}
        83:{2,3,7}:{(67,1),(69,1),(70,1)}
        84:{1,3,7}:{(68,1),(69,1),(71,1)}
        85:{1,2,6}:{(72,1),(76,1),(94,1)}
        86:{1,2,6}:{(73,1),(77,1),(95,1)}
        87:{3,6}:{(74,1),(78,1)}
        88:{4,6}:{(75,1),(79,1),(97,1)}
        89:{2,3,5,7}:{(76,1),(78,1),(80,1),(83,1),(94,1),(98,1),(103,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(81,1),(84,1),(95,1),(99,1),(104,1)}
        91:{3,4,7}:{(78,1),(79,1),(82,1),(96,1),(98,1),(99,1)}
        92:{2,4}:{(80,1),(82,1)}
        93:{1,4}:{(81,1),(82,1)}
        94:{2,3,6}:{(85,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(86,1),(87,1),(90,1),(101,1)}
        96:{3,4,6}:{(87,1),(88,1),(91,1),(100,1),(101,1),(102,1)}
        97:{4,5}:{(88,1),(102,1)}
        98:{2,4,7}:{(89,1),(91,1),(92,1),(100,1)}
        99:{1,4,7}:{(90,1),(91,1),(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(96,1),(98,1),(103,1)}
       101:{1,4,6}:{(95,1),(96,1),(99,1),(104,1)}
       102:{3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{1,5}:{(101,1),(102,1)}

 394 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(28,1),(54,1)}
         1:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(20,1)}
         2:{1,2,3,5}:{(0,1),(5,1),(7,1),(19,1),(44,1),(45,1)}
         3:{1,2,3,7}:{(0,1),(6,1),(43,1),(68,1)}
         4:{3,4,6}:{(1,1),(8,1),(9,1),(13,1),(23,1),(27,1),(28,1)}
         5:{1,2,5}:{(1,1),(8,1)}
         6:{1,2,4,7}:{(1,1),(3,1),(9,1),(12,1)}
         7:{1,2,4}:{(2,1),(13,1)}
         8:{3,5}:{(4,1),(5,1),(15,1)}
         9:{3,4,7}:{(4,1),(6,1),(16,1),(36,1),(43,1)}
        10:{1,2,5,6}:{(5,1),(14,1),(17,1),(18,1),(20,1),(58,1),(59,1)}
        11:{1,2,4,5}:{(5,1),(7,1),(15,1),(17,1),(19,1),(38,1),(39,1),(44,1)}
        12:{1,2,5,7}:{(5,1),(6,1),(16,1),(20,1)}
        13:{3,4}:{(7,1),(19,1)}
        14:{3,5,6}:{(8,1),(10,1),(23,1),(24,1),(27,1),(28,1),(53,1)}
        15:{4,5}:{(8,1),(23,1)}
        16:{3,5,7}:{(8,1),(9,1),(12,1),(26,1),(27,1)}
        17:{1,2,4,6}:{(10,1),(11,1),(23,1),(28,1),(29,1),(48,1),(49,1),(54,1)}
        18:{1,2,5,7}:{(10,1),(24,1),(29,1),(30,1),(71,1),(72,1)}
        19:{3,5}:{(11,1),(13,1),(28,1)}
        20:{1,2,6}:{(12,1),(27,1)}
        21:{1,3,4}:{(13,1),(31,1),(33,1),(77,1)}
        22:{2,3,4}:{(13,1),(32,1),(33,1),(77,1)}
        23:{4,6}:{(14,1),(15,1),(36,1)}
        24:{3,5,7}:{(14,1),(18,1),(36,1),(37,1),(43,1),(65,1)}
        25:{3,4,5}:{(15,1),(19,1),(35,1),(38,1),(39,1),(66,1),(94,1)}
        26:{4,5,7}:{(15,1),(16,1),(36,1),(40,1),(65,1)}
        27:{3,6}:{(16,1),(20,1),(40,1)}
        28:{3,6}:{(17,1),(19,1),(43,1)}
        29:{1,2,4,7}:{(17,1),(18,1),(36,1),(43,1),(63,1),(64,1),(68,1)}
        30:{1,2,6,7}:{(18,1),(20,1),(37,1),(82,1),(83,1)}
        31:{1,3,5}:{(19,1),(21,1),(38,1),(41,1),(44,1),(66,1)}
        32:{2,3,5}:{(19,1),(22,1),(39,1),(42,1),(44,1),(66,1)}
        33:{1,2,4}:{(21,1),(22,1),(44,1),(45,1)}
        34:{4,5,6}:{(23,1),(46,1),(47,1),(53,1),(88,1),(104,1)}
        35:{3,4,6}:{(23,1),(25,1),(28,1),(46,1),(48,1),(49,1),(50,1),(75,1),(88,1)}
        36:{4,7}:{(23,1),(24,1)}
        37:{3,6,7}:{(24,1),(27,1),(30,1),(51,1)}
        38:{1,4,5}:{(25,1),(31,1),(48,1)}
        39:{2,4,5}:{(25,1),(32,1),(49,1)}
        40:{4,6}:{(26,1),(27,1),(53,1)}
        41:{1,3,6}:{(28,1),(31,1),(48,1),(54,1),(55,1),(75,1)}
        42:{2,3,6}:{(28,1),(32,1),(49,1),(54,1),(56,1),(75,1)}
        43:{3,7}:{(28,1),(29,1)}
        44:{1,2,5}:{(31,1),(32,1),(33,1),(54,1)}
        45:{1,2,3}:{(33,1)}
        46:{3,5,6}:{(34,1),(35,1),(58,1),(59,1),(60,1)}
        47:{4,5,7}:{(34,1),(36,1),(60,1),(61,1),(65,1),(95,1),(103,1)}
        48:{1,4,6}:{(35,1),(38,1),(41,1),(58,1),(63,1)}
        49:{2,4,6}:{(35,1),(39,1),(42,1),(59,1),(64,1)}
        50:{3,4,7}:{(35,1),(36,1),(43,1),(60,1),(63,1),(64,1),(85,1),(95,1)}
        51:{4,6,7}:{(36,1),(37,1),(40,1),(65,1)}
        52:{1,2,4,5}:{(38,1),(39,1),(44,1),(62,1),(66,1),(69,1),(86,1),(94,1)}
        53:{5,6}:{(40,1),(65,1)}
        54:{1,2,6}:{(41,1),(42,1),(44,1),(68,1)}
        55:{1,3,7}:{(41,1),(43,1),(63,1),(68,1),(85,1)}
        56:{2,3,7}:{(42,1),(43,1),(64,1),(68,1),(85,1)}
        57:{1,2,3,5}:{(44,1),(45,1),(66,1),(67,1),(69,1),(86,1)}
        58:{1,5,6}:{(46,1),(48,1),(71,1)}
        59:{2,5,6}:{(46,1),(49,1),(72,1)}
        60:{3,5,7}:{(46,1),(47,1),(50,1),(71,1),(72,1),(73,1)}
        61:{4,6,7}:{(47,1),(73,1),(74,1)}
        62:{1,2,4,6}:{(48,1),(49,1),(52,1),(54,1),(70,1),(75,1),(76,1),(88,1)}
        63:{1,4,7}:{(48,1),(50,1),(55,1),(71,1)}
        64:{2,4,7}:{(49,1),(50,1),(56,1),(72,1)}
        65:{5,7}:{(51,1),(53,1)}
        66:{3,5}:{(52,1),(75,1),(77,1)}
        67:{1,2,3,6}:{(54,1),(57,1),(75,1),(78,1),(79,1)}
        68:{1,2,7}:{(54,1),(55,1),(56,1)}
        69:{1,2,4}:{(57,1),(77,1)}
        70:{1,2,5,6}:{(58,1),(59,1),(62,1),(80,1),(81,1),(86,1),(98,1)}
        71:{1,5,7}:{(58,1),(60,1),(63,1),(82,1)}
        72:{2,5,7}:{(59,1),(60,1),(64,1),(83,1)}
        73:{3,6,7}:{(60,1),(61,1),(82,1),(83,1)}
        74:{5,6,7}:{(61,1),(65,1),(103,1)}
        75:{3,6}:{(62,1),(66,1),(85,1)}
        76:{1,2,4,7}:{(62,1),(63,1),(64,1),(68,1),(81,1),(85,1),(95,1)}
        77:{3,4}:{(66,1),(69,1)}
        78:{1,2,4,6}:{(67,1),(69,1),(84,1),(86,1),(87,1),(98,1)}
        79:{1,2,3,7}:{(67,1),(68,1),(85,1),(87,1)}
        80:{3,5,6}:{(70,1),(75,1),(88,1),(89,1),(91,1),(101,1),(104,1)}
        81:{1,2,5,7}:{(70,1),(71,1),(72,1),(76,1),(89,1),(90,1)}
        82:{1,6,7}:{(71,1),(73,1)}
        83:{2,6,7}:{(72,1),(73,1)}
        84:{3,4,6}:{(75,1),(77,1),(78,1),(88,1),(91,1),(92,1),(101,1)}
        85:{3,7}:{(75,1),(76,1)}
        86:{1,2,5}:{(78,1),(91,1)}
        87:{1,2,4,7}:{(78,1),(79,1),(92,1),(93,1)}
        88:{4,6}:{(80,1),(94,1),(95,1)}
        89:{3,5,7}:{(80,1),(81,1),(85,1),(95,1),(96,1),(103,1)}
        90:{1,2,6,7}:{(81,1),(82,1),(83,1),(96,1),(98,1)}
        91:{3,5}:{(84,1),(86,1),(94,1)}
        92:{3,4,7}:{(84,1),(85,1),(87,1),(95,1),(97,1)}
        93:{1,2,5,7}:{(86,1),(87,1),(97,1),(98,1)}
        94:{4,5}:{(88,1),(91,1)}
        95:{4,7}:{(88,1),(89,1)}
        96:{3,6,7}:{(89,1),(90,1),(100,1),(101,1)}
        97:{3,5,7}:{(91,1),(92,1),(93,1),(99,1),(101,1)}
        98:{1,2,6}:{(93,1),(101,1)}
        99:{4,5,7}:{(94,1),(95,1),(97,1),(102,1),(103,1)}
       100:{4,6,7}:{(95,1),(96,1),(102,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(102,1)}
       102:{4,6}:{(99,1),(101,1),(104,1)}
       103:{5,7}:{(100,1),(104,1)}
       104:{5,6}:{(102,1),(103,1)}

 395 :   0:{1,2,3,7}:{(1,1),(2,1),(44,1),(68,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(4,1),(5,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(34,1),(58,1)}
         3:{3,4,7}:{(1,1),(7,1),(8,1),(40,1),(44,1)}
         4:{1,2,5,7}:{(1,1),(7,1),(9,1),(10,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(9,1),(10,1),(11,1)}
         6:{1,2,3,5}:{(2,1),(10,1),(11,1),(25,1),(47,1),(48,1)}
         7:{3,5,7}:{(3,1),(4,1),(12,1),(13,1),(14,1)}
         8:{3,4,6}:{(3,1),(5,1),(13,1),(14,1),(18,1),(31,1),(34,1)}
         9:{1,2,6}:{(4,1),(13,1)}
        10:{1,2,5}:{(5,1),(14,1)}
        11:{1,2,4}:{(6,1),(18,1)}
        12:{4,5,7}:{(7,1),(19,1),(22,1),(38,1),(40,1)}
        13:{3,6}:{(7,1),(9,1),(19,1)}
        14:{3,5}:{(8,1),(10,1),(22,1)}
        15:{1,2,6,7}:{(9,1),(20,1),(23,1),(80,1),(81,1)}
        16:{1,2,5,6}:{(9,1),(10,1),(21,1),(23,1),(24,1),(62,1),(63,1)}
        17:{1,2,4,5}:{(10,1),(11,1),(22,1),(24,1),(25,1),(42,1),(43,1),(47,1)}
        18:{3,4}:{(11,1),(25,1)}
        19:{4,6}:{(12,1),(13,1),(29,1)}
        20:{3,6,7}:{(13,1),(15,1),(28,1),(30,1)}
        21:{3,5,6}:{(13,1),(14,1),(16,1),(29,1),(30,1),(31,1),(34,1)}
        22:{4,5}:{(14,1),(31,1)}
        23:{1,2,5,7}:{(15,1),(16,1),(30,1),(33,1),(72,1),(73,1)}
        24:{1,2,4,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(53,1),(54,1),(58,1)}
        25:{3,5}:{(17,1),(18,1),(34,1)}
        26:{1,3,4}:{(18,1),(35,1),(37,1),(77,1)}
        27:{2,3,4}:{(18,1),(36,1),(37,1),(77,1)}
        28:{4,6,7}:{(19,1),(20,1),(38,1),(40,1)}
        29:{5,6}:{(19,1),(38,1)}
        30:{3,5,7}:{(20,1),(21,1),(23,1),(38,1),(40,1),(44,1)}
        31:{4,6}:{(21,1),(22,1),(40,1)}
        32:{3,4,5}:{(22,1),(25,1),(41,1),(42,1),(43,1),(67,1),(96,1)}
        33:{1,2,4,7}:{(23,1),(24,1),(40,1),(44,1),(64,1),(65,1),(68,1)}
        34:{3,6}:{(24,1),(25,1),(44,1)}
        35:{1,3,5}:{(25,1),(26,1),(42,1),(45,1),(47,1),(67,1)}
        36:{2,3,5}:{(25,1),(27,1),(43,1),(46,1),(47,1),(67,1)}
        37:{1,2,4}:{(26,1),(27,1),(47,1),(48,1)}
        38:{5,7}:{(28,1),(29,1)}
        39:{4,5,6}:{(29,1),(31,1),(50,1),(51,1),(90,1),(104,1)}
        40:{4,7}:{(30,1),(31,1)}
        41:{3,4,6}:{(31,1),(32,1),(34,1),(51,1),(52,1),(53,1),(54,1),(76,1),(90,1)}
        42:{1,4,5}:{(32,1),(35,1),(53,1)}
        43:{2,4,5}:{(32,1),(36,1),(54,1)}
        44:{3,7}:{(33,1),(34,1)}
        45:{1,3,6}:{(34,1),(35,1),(53,1),(56,1),(58,1),(76,1)}
        46:{2,3,6}:{(34,1),(36,1),(54,1),(57,1),(58,1),(76,1)}
        47:{1,2,5}:{(35,1),(36,1),(37,1),(58,1)}
        48:{1,2,3}:{(37,1)}
        49:{5,6,7}:{(38,1),(60,1),(102,1)}
        50:{4,5,7}:{(38,1),(39,1),(40,1),(60,1),(61,1),(95,1),(102,1)}
        51:{3,5,6}:{(39,1),(41,1),(61,1),(62,1),(63,1)}
        52:{3,4,7}:{(40,1),(41,1),(44,1),(61,1),(64,1),(65,1),(84,1),(95,1)}
        53:{1,4,6}:{(41,1),(42,1),(45,1),(62,1),(64,1)}
        54:{2,4,6}:{(41,1),(43,1),(46,1),(63,1),(65,1)}
        55:{1,2,4,5}:{(42,1),(43,1),(47,1),(66,1),(67,1),(70,1),(87,1),(96,1)}
        56:{1,3,7}:{(44,1),(45,1),(64,1),(68,1),(84,1)}
        57:{2,3,7}:{(44,1),(46,1),(65,1),(68,1),(84,1)}
        58:{1,2,6}:{(45,1),(46,1),(47,1),(68,1)}
        59:{1,2,3,5}:{(47,1),(48,1),(67,1),(69,1),(70,1),(87,1)}
        60:{4,6,7}:{(49,1),(50,1),(71,1)}
        61:{3,5,7}:{(50,1),(51,1),(52,1),(71,1),(72,1),(73,1)}
        62:{1,5,6}:{(51,1),(53,1),(72,1)}
        63:{2,5,6}:{(51,1),(54,1),(73,1)}
        64:{1,4,7}:{(52,1),(53,1),(56,1),(72,1)}
        65:{2,4,7}:{(52,1),(54,1),(57,1),(73,1)}
        66:{1,2,4,6}:{(53,1),(54,1),(55,1),(58,1),(74,1),(75,1),(76,1),(90,1)}
        67:{3,5}:{(55,1),(76,1),(77,1)}
        68:{1,2,7}:{(56,1),(57,1),(58,1)}
        69:{1,2,3,6}:{(58,1),(59,1),(76,1),(78,1),(79,1)}
        70:{1,2,4}:{(59,1),(77,1)}
        71:{3,6,7}:{(60,1),(61,1),(80,1),(81,1)}
        72:{1,5,7}:{(61,1),(62,1),(64,1),(80,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1),(81,1)}
        74:{1,2,5,6}:{(62,1),(63,1),(66,1),(82,1),(83,1),(87,1),(98,1)}
        75:{1,2,4,7}:{(64,1),(65,1),(66,1),(68,1),(82,1),(84,1),(95,1)}
        76:{3,6}:{(66,1),(67,1),(84,1)}
        77:{3,4}:{(67,1),(70,1)}
        78:{1,2,3,7}:{(68,1),(69,1),(84,1),(86,1)}
        79:{1,2,4,6}:{(69,1),(70,1),(85,1),(86,1),(87,1),(98,1)}
        80:{1,6,7}:{(71,1),(72,1)}
        81:{2,6,7}:{(71,1),(73,1)}
        82:{1,2,5,7}:{(72,1),(73,1),(74,1),(75,1),(88,1),(89,1)}
        83:{3,5,6}:{(74,1),(76,1),(89,1),(90,1),(92,1),(101,1),(104,1)}
        84:{3,7}:{(75,1),(76,1)}
        85:{3,4,6}:{(76,1),(77,1),(79,1),(90,1),(91,1),(92,1),(101,1)}
        86:{1,2,4,7}:{(78,1),(79,1),(91,1),(93,1)}
        87:{1,2,5}:{(79,1),(92,1)}
        88:{1,2,6,7}:{(80,1),(81,1),(82,1),(94,1),(98,1)}
        89:{3,5,7}:{(82,1),(83,1),(84,1),(94,1),(95,1),(102,1)}
        90:{4,6}:{(83,1),(95,1),(96,1)}
        91:{3,4,7}:{(84,1),(85,1),(86,1),(95,1),(97,1)}
        92:{3,5}:{(85,1),(87,1),(96,1)}
        93:{1,2,5,7}:{(86,1),(87,1),(97,1),(98,1)}
        94:{3,6,7}:{(88,1),(89,1),(99,1),(101,1)}
        95:{4,7}:{(89,1),(90,1)}
        96:{4,5}:{(90,1),(92,1)}
        97:{3,5,7}:{(91,1),(92,1),(93,1),(100,1),(101,1)}
        98:{1,2,6}:{(93,1),(101,1)}
        99:{4,6,7}:{(94,1),(95,1),(102,1),(103,1)}
       100:{4,5,7}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{5,7}:{(99,1),(104,1)}
       103:{4,6}:{(100,1),(101,1),(104,1)}
       104:{5,6}:{(102,1),(103,1)}

 396 :   0:{1,3,5,7}:{(2,1),(3,1),(4,1),(15,1),(19,1),(23,1),(54,1)}
         1:{2,3,5,7}:{(2,1),(5,1),(6,1),(17,1),(19,1),(26,1),(54,1)}
         2:{1,2,5,7}:{(0,1),(1,1),(9,1),(10,1),(29,1),(32,1),(38,1)}
         3:{1,4,7}:{(0,1),(11,1),(12,1),(70,1),(100,1)}
         4:{1,3,6}:{(0,1),(10,1),(12,1),(30,1),(37,1),(102,1)}
         5:{2,4,7}:{(1,1),(13,1),(14,1),(70,1),(101,1)}
         6:{2,3,6}:{(1,1),(10,1),(14,1),(33,1),(37,1),(103,1)}
         7:{1,4,5,7}:{(3,1),(15,1),(16,1),(23,1),(44,1),(56,1),(74,1)}
         8:{2,4,5,7}:{(5,1),(17,1),(18,1),(26,1),(46,1),(58,1),(76,1)}
         9:{1,2,4,7}:{(2,1),(3,1),(5,1),(19,1),(20,1),(21,1),(24,1),(51,1)}
        10:{1,2,6}:{(2,1),(4,1),(6,1),(47,1),(49,1),(104,1)}
        11:{3,4,7}:{(3,1),(15,1),(19,1),(21,1),(22,1),(74,1),(93,1)}
        12:{1,4,6}:{(3,1),(4,1),(22,1),(23,1),(95,1),(99,1)}
        13:{3,4,7}:{(5,1),(17,1),(19,1),(24,1),(25,1),(76,1),(94,1)}
        14:{2,4,6}:{(5,1),(6,1),(25,1),(26,1),(96,1),(98,1)}
        15:{3,5,7}:{(7,1),(11,1),(29,1),(30,1),(40,1)}
        16:{1,4,6}:{(7,1),(30,1),(31,1),(64,1)}
        17:{3,5,7}:{(8,1),(13,1),(32,1),(33,1),(42,1)}
        18:{2,4,6}:{(8,1),(33,1),(34,1),(66,1)}
        19:{3,7}:{(9,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(10,1),(12,1),(14,1),(37,1),(38,1),(39,1),(41,1),(67,1),(70,1),(88,1)}
        21:{2,4,7}:{(11,1),(29,1),(36,1),(39,1)}
        22:{3,4,6}:{(11,1),(12,1),(30,1),(37,1),(39,1),(40,1),(64,1),(70,1),(86,1),(90,1)}
        23:{1,5}:{(12,1),(40,1)}
        24:{1,4,7}:{(13,1),(32,1),(35,1),(41,1)}
        25:{3,4,6}:{(13,1),(14,1),(33,1),(37,1),(41,1),(42,1),(66,1),(70,1),(87,1),(89,1)}
        26:{2,5}:{(14,1),(42,1)}
        27:{1,4,6,7}:{(16,1),(43,1),(44,1),(74,1)}
        28:{2,4,6,7}:{(18,1),(45,1),(46,1),(76,1)}
        29:{2,5,7}:{(15,1),(21,1),(47,1),(55,1)}
        30:{3,6}:{(15,1),(16,1),(47,1)}
        31:{1,5,6}:{(16,1),(23,1),(44,1),(48,1),(95,1)}
        32:{1,5,7}:{(17,1),(24,1),(49,1),(57,1)}
        33:{3,6}:{(17,1),(18,1),(49,1)}
        34:{2,5,6}:{(18,1),(26,1),(46,1),(50,1),(96,1)}
        35:{1,3,7}:{(19,1),(24,1),(51,1),(52,1),(94,1)}
        36:{2,3,7}:{(19,1),(21,1),(51,1),(53,1),(93,1)}
        37:{3,6}:{(19,1),(20,1),(54,1),(97,1)}
        38:{1,2,5}:{(20,1),(23,1),(26,1),(54,1),(55,1),(57,1)}
        39:{2,4,6}:{(21,1),(22,1),(47,1),(53,1),(55,1),(81,1)}
        40:{3,5}:{(22,1),(23,1),(55,1),(56,1)}
        41:{1,4,6}:{(24,1),(25,1),(49,1),(52,1),(57,1),(80,1)}
        42:{3,5}:{(25,1),(26,1),(57,1),(58,1)}
        43:{3,6,7}:{(27,1),(30,1),(59,1),(60,1)}
        44:{1,5,7}:{(27,1),(31,1),(60,1),(100,1)}
        45:{3,6,7}:{(28,1),(33,1),(61,1),(62,1)}
        46:{2,5,7}:{(28,1),(34,1),(62,1),(101,1)}
        47:{2,6}:{(29,1),(30,1)}
        48:{3,5,6}:{(30,1),(31,1),(40,1),(60,1),(63,1),(64,1),(86,1)}
        49:{1,6}:{(32,1),(33,1)}
        50:{3,5,6}:{(33,1),(34,1),(42,1),(62,1),(65,1),(66,1),(87,1)}
        51:{1,2,7}:{(35,1),(36,1),(67,1),(100,1),(101,1)}
        52:{1,3,6}:{(35,1),(37,1),(41,1),(67,1),(68,1),(87,1)}
        53:{2,3,6}:{(36,1),(37,1),(39,1),(67,1),(69,1),(86,1)}
        54:{3,5}:{(37,1),(38,1),(70,1)}
        55:{2,5}:{(39,1),(40,1)}
        56:{4,5}:{(40,1),(64,1),(70,1)}
        57:{1,5}:{(41,1),(42,1)}
        58:{4,5}:{(42,1),(66,1),(70,1)}
        59:{2,6,7}:{(43,1),(47,1),(73,1)}
        60:{3,5,7}:{(43,1),(44,1),(48,1),(73,1),(74,1),(93,1)}
        61:{1,6,7}:{(45,1),(49,1),(75,1)}
        62:{3,5,7}:{(45,1),(46,1),(50,1),(75,1),(76,1),(94,1)}
        63:{2,5,6}:{(47,1),(48,1),(55,1),(73,1),(77,1)}
        64:{4,6}:{(48,1),(56,1),(74,1)}
        65:{1,5,6}:{(49,1),(50,1),(57,1),(75,1),(78,1)}
        66:{4,6}:{(50,1),(58,1),(76,1)}
        67:{1,2,6}:{(51,1),(52,1),(53,1),(79,1),(95,1),(96,1)}
        68:{1,3,5}:{(52,1),(54,1),(57,1),(79,1),(80,1),(83,1),(97,1)}
        69:{2,3,5}:{(53,1),(54,1),(55,1),(79,1),(81,1),(82,1),(97,1)}
        70:{4}:{(54,1)}
        71:{2,4,5}:{(55,1),(56,1),(77,1),(81,1),(82,1)}
        72:{1,4,5}:{(57,1),(58,1),(78,1),(80,1),(83,1)}
        73:{2,5,7}:{(59,1),(60,1),(63,1),(84,1)}
        74:{4,7}:{(60,1),(64,1)}
        75:{1,5,7}:{(61,1),(62,1),(65,1),(85,1)}
        76:{4,7}:{(62,1),(66,1)}
        77:{2,4,6}:{(63,1),(64,1),(71,1),(84,1),(86,1)}
        78:{1,4,6}:{(65,1),(66,1),(72,1),(85,1),(87,1)}
        79:{1,2,5}:{(67,1),(68,1),(69,1),(88,1),(91,1),(92,1)}
        80:{1,4}:{(68,1),(70,1),(89,1)}
        81:{2,4}:{(69,1),(70,1),(90,1)}
        82:{3,5}:{(71,1),(86,1),(90,1),(91,1)}
        83:{3,5}:{(72,1),(87,1),(89,1),(92,1)}
        84:{2,4,7}:{(73,1),(74,1),(77,1),(93,1)}
        85:{1,4,7}:{(75,1),(76,1),(78,1),(94,1)}
        86:{3,6}:{(77,1),(82,1),(93,1),(95,1)}
        87:{3,6}:{(78,1),(83,1),(94,1),(96,1)}
        88:{1,2,4}:{(79,1),(80,1),(81,1),(97,1),(98,1),(99,1),(104,1)}
        89:{3,4}:{(80,1),(83,1),(97,1),(98,1)}
        90:{3,4}:{(81,1),(82,1),(97,1),(99,1)}
        91:{1,5}:{(82,1),(95,1),(99,1)}
        92:{2,5}:{(83,1),(96,1),(98,1)}
        93:{3,7}:{(84,1),(86,1),(100,1)}
        94:{3,7}:{(85,1),(87,1),(101,1)}
        95:{1,6}:{(86,1),(91,1),(100,1)}
        96:{2,6}:{(87,1),(92,1),(101,1)}
        97:{3}:{(88,1)}
        98:{2,4}:{(89,1),(92,1),(103,1)}
        99:{1,4}:{(90,1),(91,1),(102,1)}
       100:{1,7}:{(93,1),(95,1)}
       101:{2,7}:{(94,1),(96,1)}
       102:{1,3}:{(97,1),(99,1),(104,1)}
       103:{2,3}:{(97,1),(98,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

 397 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(2,1),(3,1)}
        2:{3,4}:{(1,1),(4,1)}
        3:{1,2,5}:{(1,1),(4,1),(5,1)}
        4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
        5:{1,2,6}:{(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:{1,2,7}:{(5,1),(10,1)}
        9:{4,6}:{(6,1),(7,1),(11,1),(12,1)}
       10:{3,7}:{(7,1),(8,1),(12,1)}
       11:{5,6}:{(9,1),(13,1)}
       12:{4,7}:{(9,1),(10,1),(13,1)}
       13:{5,7}:{(11,1),(12,1),(14,1)}
       14:{6,7}:{(13,1)}

 398 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(15,1),(19,1),(37,1),(40,1),(82,1),(88,1)}
         1:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(21,1),(27,1),(62,1)}
         2:{2,3,5}:{(0,1),(5,1),(8,1),(25,1),(106,1),(116,1)}
         3:{2,3,4,7}:{(0,1),(6,1),(9,1),(30,1),(61,1),(65,1),(109,1),(205,1)}
         4:{1,3,6}:{(1,1),(10,1),(11,1),(40,1)}
         5:{1,2,5}:{(1,1),(2,1),(10,1),(89,1)}
         6:{1,2,4,7}:{(1,1),(3,1),(11,1),(14,1),(38,1),(208,1)}
         7:{2,3,5,6}:{(2,1),(12,1),(15,1),(16,1),(19,1),(40,1),(47,1),(54,1),(98,1)}
         8:{2,4,5}:{(2,1),(15,1),(17,1),(139,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(14,1),(18,1),(19,1),(45,1),(130,1),(199,1),(201,1)}
        10:{1,3,5}:{(4,1),(5,1),(21,1),(25,1)}
        11:{1,3,7}:{(4,1),(6,1),(65,1),(209,1)}
        12:{1,2,5,6}:{(5,1),(7,1),(20,1),(23,1),(24,1),(27,1),(72,1),(106,1),(151,1)}
        13:{1,2,4,5}:{(5,1),(8,1),(21,1),(23,1),(25,1),(32,1),(55,1),(60,1),(67,1),(106,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(9,1),(22,1),(27,1),(206,1),(207,1)}
        15:{2,4,6}:{(7,1),(8,1),(29,1),(30,1),(124,1)}
        16:{2,3,5,7}:{(7,1),(24,1),(30,1),(31,1),(65,1),(73,1),(77,1),(120,1)}
        17:{3,4,5}:{(8,1),(25,1),(29,1),(32,1)}
        18:{2,4,5,7}:{(8,1),(9,1),(30,1),(33,1),(34,1),(77,1),(187,1),(190,1)}
        19:{2,3,6}:{(9,1),(27,1),(34,1),(70,1),(151,1)}
        20:{1,3,5,6}:{(10,1),(12,1),(35,1),(36,1),(39,1),(40,1),(80,1),(89,1),(98,1),(131,1),(132,1)}
        21:{1,4}:{(10,1),(37,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(38,1),(39,1),(45,1),(89,1),(196,1),(198,1),(200,1)}
        23:{1,2,4,6}:{(12,1),(13,1),(15,1),(35,1),(40,1),(41,1),(49,1),(82,1),(90,1)}
        24:{1,2,5,7}:{(12,1),(16,1),(36,1),(41,1),(42,1),(99,1),(130,1)}
        25:{3,5}:{(13,1),(37,1),(40,1)}
        26:{1,2,4,5,7}:{(13,1),(14,1),(18,1),(38,1),(41,1),(45,1),(46,1),(52,1),(81,1),(87,1),(89,1),(94,1),(95,1),(130,1),(138,1),(139,1),(143,1),(170,1),(172,1),(175,1),(196,1)}
        27:{1,2,6}:{(14,1),(19,1),(39,1)}
        28:{2,4,5,6}:{(15,1),(47,1),(48,1),(54,1),(105,1)}
        29:{3,4,6}:{(15,1),(17,1),(40,1),(47,1),(49,1),(50,1)}
        30:{2,4,7}:{(15,1),(16,1),(50,1),(143,1)}
        31:{2,3,6,7}:{(16,1),(19,1),(42,1),(51,1),(93,1),(100,1),(201,1)}
        32:{1,4,5}:{(17,1),(43,1),(49,1)}
        33:{3,4,5,7}:{(17,1),(18,1),(45,1),(50,1),(52,1),(53,1),(103,1),(139,1),(143,1),(173,1),(176,1)}
        34:{2,4,6}:{(18,1),(19,1),(53,1),(54,1)}
        35:{1,4,6}:{(20,1),(21,1),(55,1),(56,1),(57,1),(124,1)}
        36:{1,3,5,7}:{(20,1),(24,1),(57,1),(58,1),(65,1),(107,1),(111,1),(120,1)}
        37:{3,4}:{(21,1),(25,1),(60,1)}
        38:{1,4,7}:{(21,1),(22,1),(61,1),(62,1),(204,1)}
        39:{1,3,6}:{(22,1),(27,1),(62,1),(70,1),(203,1)}
        40:{3,6}:{(23,1),(25,1),(65,1)}
        41:{1,2,4,7}:{(23,1),(24,1),(30,1),(57,1),(65,1),(75,1),(109,1),(117,1)}
        42:{1,2,6,7}:{(24,1),(27,1),(31,1),(58,1),(125,1),(151,1),(207,1)}
        43:{1,3,5}:{(25,1),(32,1),(59,1),(63,1),(67,1)}
        44:{2,3,5}:{(25,1),(60,1),(64,1),(67,1),(106,1),(112,1)}
        45:{3,5,7}:{(25,1),(26,1),(61,1),(65,1),(70,1),(116,1),(186,1),(189,1)}
        46:{1,2,4,6}:{(26,1),(27,1),(34,1),(62,1),(70,1),(71,1),(78,1),(108,1),(115,1),(121,1),(124,1),(151,1),(183,1),(203,1)}
        47:{3,5,6}:{(28,1),(29,1),(72,1),(73,1)}
        48:{2,4,5,7}:{(28,1),(30,1),(73,1),(74,1),(77,1),(128,1)}
        49:{1,4,6}:{(29,1),(32,1),(63,1),(72,1),(75,1)}
        50:{3,4,7}:{(29,1),(30,1),(65,1),(73,1),(75,1)}
        51:{2,4,6,7}:{(30,1),(31,1),(34,1),(76,1),(77,1),(190,1),(194,1)}
        52:{1,4,5,7}:{(32,1),(33,1),(68,1),(75,1),(78,1),(127,1),(157,1),(160,1)}
        53:{3,4,6}:{(33,1),(34,1),(70,1),(78,1),(79,1),(124,1)}
        54:{2,5,6}:{(34,1),(77,1),(79,1)}
        55:{1,4,5}:{(35,1),(80,1),(89,1),(139,1)}
        56:{3,4,6}:{(35,1),(37,1),(40,1),(80,1),(82,1),(83,1),(131,1)}
        57:{1,4,7}:{(35,1),(36,1),(83,1),(143,1)}
        58:{1,3,6,7}:{(36,1),(39,1),(42,1),(84,1),(93,1),(131,1),(200,1)}
        59:{1,3,4}:{(37,1),(43,1),(85,1)}
        60:{2,4}:{(37,1),(44,1)}
        61:{3,4,7}:{(37,1),(38,1),(45,1),(87,1),(88,1),(143,1),(197,1)}
        62:{1,4,6}:{(38,1),(39,1),(88,1),(89,1)}
        63:{1,3,6}:{(40,1),(43,1),(49,1),(90,1),(91,1)}
        64:{2,3,6}:{(40,1),(44,1),(82,1),(90,1),(92,1)}
        65:{3,7}:{(40,1),(41,1)}
        66:{1,2,4,6,7}:{(41,1),(42,1),(46,1),(51,1),(84,1),(93,1),(94,1),(102,1),(133,1),(140,1),(143,1),(175,1)}
        67:{1,2,5}:{(43,1),(44,1),(85,1),(90,1)}
        68:{1,3,5,7}:{(43,1),(45,1),(52,1),(86,1),(91,1),(95,1),(96,1),(137,1),(196,1)}
        69:{2,3,5,7}:{(44,1),(45,1),(87,1),(92,1),(95,1),(97,1),(130,1),(135,1),(138,1),(171,1)}
        70:{3,6}:{(45,1),(46,1)}
        71:{1,2,5,6}:{(46,1),(54,1),(89,1),(94,1),(98,1),(104,1),(132,1),(138,1),(168,1)}
        72:{1,5,6}:{(47,1),(49,1),(99,1)}
        73:{3,5,7}:{(47,1),(48,1),(50,1),(99,1),(100,1)}
        74:{2,4,6,7}:{(48,1),(100,1),(101,1),(148,1)}
        75:{1,4,7}:{(49,1),(50,1),(91,1),(99,1)}
        76:{3,4,6,7}:{(50,1),(51,1),(53,1),(93,1),(100,1),(102,1),(103,1),(143,1),(148,1),(176,1),(181,1)}
        77:{2,5,7}:{(51,1),(54,1),(103,1)}
        78:{1,4,6}:{(52,1),(53,1),(96,1),(104,1)}
        79:{3,5,6}:{(53,1),(54,1),(103,1),(104,1),(105,1)}
        80:{3,5}:{(55,1),(56,1),(106,1)}
        81:{1,4,5,7}:{(55,1),(57,1),(107,1),(108,1),(111,1),(154,1)}
        82:{2,4,6}:{(56,1),(60,1),(64,1),(106,1),(109,1),(151,1)}
        83:{3,4,7}:{(56,1),(57,1),(65,1),(107,1),(109,1)}
        84:{1,4,6,7}:{(57,1),(58,1),(62,1),(108,1),(110,1),(111,1),(191,1),(203,1)}
        85:{1,2,4}:{(59,1),(60,1),(67,1),(112,1)}
        86:{1,3,4,7}:{(59,1),(61,1),(68,1),(113,1),(114,1),(160,1),(189,1),(191,1)}
        87:{2,4,7}:{(60,1),(61,1),(69,1),(115,1),(185,1)}
        88:{3,4,6}:{(61,1),(62,1),(70,1),(115,1),(116,1),(124,1)}
        89:{1,5}:{(62,1),(116,1)}
        90:{1,2,6}:{(63,1),(64,1),(67,1),(117,1)}
        91:{1,3,7}:{(63,1),(65,1),(75,1),(117,1)}
        92:{2,3,7}:{(64,1),(65,1),(109,1),(117,1)}
        93:{3,6,7}:{(65,1),(66,1),(70,1),(120,1),(189,1)}
        94:{1,2,5,7}:{(66,1),(71,1),(77,1),(111,1),(120,1),(127,1),(153,1)}
        95:{1,2,5,7}:{(67,1),(68,1),(69,1),(113,1),(117,1),(121,1),(156,1)}
        96:{1,3,6}:{(68,1),(70,1),(78,1),(121,1),(203,1)}
        97:{2,3,6}:{(69,1),(70,1),(115,1),(121,1),(151,1)}
        98:{3,5,6}:{(70,1),(71,1),(116,1),(120,1),(124,1)}
        99:{1,5,7}:{(72,1),(73,1),(75,1),(125,1)}
       100:{3,6,7}:{(73,1),(74,1),(125,1)}
       101:{2,5,6,7}:{(74,1),(77,1),(126,1),(194,1)}
       102:{1,4,6,7}:{(75,1),(76,1),(78,1),(118,1),(125,1),(127,1),(160,1)}
       103:{3,5,7}:{(76,1),(77,1),(79,1),(127,1),(128,1)}
       104:{1,5,6}:{(78,1),(79,1),(127,1)}
       105:{4,5,6}:{(79,1),(124,1),(128,1)}
       106:{2,5}:{(80,1),(82,1)}
       107:{3,5,7}:{(80,1),(81,1),(83,1),(130,1),(131,1)}
       108:{1,4,6}:{(81,1),(131,1),(132,1),(169,1)}
       109:{2,4,7}:{(82,1),(83,1),(92,1),(130,1)}
       110:{3,4,6,7}:{(83,1),(84,1),(88,1),(93,1),(131,1),(133,1),(134,1),(143,1),(169,1),(177,1),(195,1)}
       111:{1,5,7}:{(84,1),(89,1),(132,1),(134,1)}
       112:{2,3}:{(85,1)}
       113:{1,2,4,7}:{(85,1),(86,1),(87,1),(95,1),(135,1),(136,1)}
       114:{1,3,4,6}:{(86,1),(88,1),(96,1),(136,1),(137,1),(145,1),(178,1),(180,1),(197,1)}
       115:{2,4,6}:{(87,1),(88,1),(97,1),(138,1)}
       116:{3,5}:{(88,1),(89,1),(138,1),(139,1)}
       117:{1,2,7}:{(90,1),(91,1),(92,1)}
       118:{1,3,6,7}:{(91,1),(93,1),(96,1),(102,1),(140,1),(141,1),(181,1)}
       119:{2,3,6,7}:{(92,1),(93,1),(97,1),(133,1),(140,1),(142,1),(195,1)}
       120:{3,5,7}:{(93,1),(94,1),(98,1),(143,1)}
       121:{1,2,6}:{(95,1),(96,1),(97,1)}
       122:{1,3,5,6}:{(96,1),(98,1),(104,1),(137,1),(141,1),(144,1),(145,1),(150,1),(178,1)}
       123:{2,3,5,6}:{(97,1),(98,1),(138,1),(142,1),(144,1),(146,1),(168,1),(171,1),(174,1),(178,1),(195,1)}
       124:{4,6}:{(98,1),(139,1),(143,1)}
       125:{1,6,7}:{(99,1),(100,1)}
       126:{3,5,6,7}:{(100,1),(101,1),(103,1),(147,1),(148,1),(181,1)}
       127:{1,5,7}:{(102,1),(103,1),(104,1)}
       128:{4,5,7}:{(103,1),(105,1),(143,1),(148,1)}
       129:{1,4,5,6}:{(104,1),(105,1),(145,1),(149,1),(150,1)}
       130:{2,5,7}:{(106,1),(107,1),(109,1),(151,1)}
       131:{3,6}:{(107,1),(108,1),(151,1)}
       132:{1,5,6}:{(108,1),(111,1),(152,1),(203,1)}
       133:{2,4,6,7}:{(109,1),(110,1),(115,1),(119,1),(151,1),(153,1),(161,1),(183,1)}
       134:{3,5,7}:{(110,1),(111,1),(116,1),(152,1),(153,1),(154,1)}
       135:{2,3,7}:{(112,1),(113,1),(155,1),(189,1)}
       136:{1,2,4,6}:{(113,1),(114,1),(115,1),(121,1),(155,1),(156,1),(185,1)}
       137:{1,3,5}:{(114,1),(116,1),(156,1),(157,1),(186,1),(188,1)}
       138:{2,5}:{(115,1),(116,1)}
       139:{4,5}:{(116,1),(124,1)}
       140:{1,2,6,7}:{(117,1),(118,1),(119,1),(121,1),(159,1),(194,1),(203,1)}
       141:{1,3,5,7}:{(118,1),(120,1),(122,1),(127,1),(159,1),(160,1),(166,1),(189,1)}
       142:{2,3,5,7}:{(119,1),(120,1),(123,1),(153,1),(159,1),(161,1),(184,1),(189,1)}
       143:{4,7}:{(120,1),(124,1)}
       144:{1,2,5,6}:{(121,1),(122,1),(123,1),(156,1),(159,1),(162,1),(167,1),(188,1),(203,1)}
       145:{1,4,6}:{(122,1),(124,1),(157,1),(160,1),(163,1)}
       146:{2,4,6}:{(123,1),(124,1),(158,1),(161,1),(164,1),(185,1)}
       147:{1,5,6,7}:{(125,1),(126,1),(127,1),(165,1)}
       148:{4,6,7}:{(126,1),(128,1)}
       149:{1,4,5,7}:{(127,1),(128,1),(129,1),(160,1),(165,1),(166,1)}
       150:{3,5,6}:{(129,1),(163,1),(166,1),(167,1)}
       151:{2,6}:{(130,1),(131,1)}
       152:{3,5,6}:{(131,1),(132,1),(134,1),(168,1),(169,1),(195,1)}
       153:{2,5,7}:{(133,1),(134,1),(138,1),(168,1)}
       154:{4,5,7}:{(134,1),(139,1),(143,1),(169,1)}
       155:{2,3,6}:{(135,1),(136,1),(171,1),(178,1)}
       156:{1,2,5}:{(136,1),(137,1),(138,1),(171,1)}
       157:{1,4,5}:{(137,1),(139,1),(145,1),(173,1)}
       158:{2,4,5}:{(138,1),(139,1),(146,1),(174,1)}
       159:{1,2,5,7}:{(140,1),(141,1),(142,1),(144,1),(175,1),(182,1),(196,1)}
       160:{1,4,7}:{(141,1),(143,1),(145,1),(176,1)}
       161:{2,4,7}:{(142,1),(143,1),(146,1),(177,1)}
       162:{1,2,4,6}:{(144,1),(145,1),(146,1),(172,1),(175,1),(178,1),(179,1),(180,1),(202,1)}
       163:{3,4,6}:{(145,1),(150,1),(173,1),(176,1),(178,1),(179,1)}
       164:{3,4,6}:{(146,1),(174,1),(177,1),(178,1),(180,1),(195,1),(197,1)}
       165:{1,4,6,7}:{(147,1),(148,1),(149,1),(181,1)}
       166:{3,5,7}:{(149,1),(150,1),(176,1),(181,1),(182,1)}
       167:{2,5,6}:{(150,1),(179,1),(182,1)}
       168:{2,5,6}:{(151,1),(152,1),(153,1),(183,1)}
       169:{4,6}:{(152,1),(154,1)}
       170:{2,4,5,7}:{(153,1),(154,1),(158,1),(161,1),(183,1),(184,1)}
       171:{2,3,5}:{(155,1),(156,1),(185,1),(186,1)}
       172:{1,2,4,5}:{(156,1),(157,1),(158,1),(162,1),(185,1),(186,1),(187,1),(188,1),(204,1),(206,1)}
       173:{3,4,5}:{(157,1),(163,1),(186,1),(187,1)}
       174:{3,5}:{(158,1),(164,1),(188,1)}
       175:{1,2,4,7}:{(159,1),(160,1),(161,1),(162,1),(189,1),(190,1),(191,1),(207,1)}
       176:{3,4,7}:{(160,1),(163,1),(166,1),(189,1),(190,1)}
       177:{3,4,7}:{(161,1),(164,1),(184,1),(189,1),(191,1)}
       178:{3,6}:{(162,1),(186,1),(189,1)}
       179:{2,4,6}:{(163,1),(167,1),(187,1),(190,1),(193,1)}
       180:{1,4,6}:{(164,1),(188,1),(191,1),(192,1),(203,1),(204,1)}
       181:{3,6,7}:{(165,1),(166,1),(194,1)}
       182:{2,5,7}:{(166,1),(167,1),(190,1),(194,1)}
       183:{2,4,6}:{(168,1),(169,1),(170,1),(195,1)}
       184:{3,5,7}:{(170,1),(174,1),(177,1),(195,1),(196,1)}
       185:{2,4}:{(171,1),(197,1)}
       186:{3,5}:{(172,1),(178,1),(197,1)}
       187:{2,4,5}:{(173,1),(179,1),(199,1)}
       188:{1,5}:{(174,1),(180,1)}
       189:{3,7}:{(175,1),(178,1)}
       190:{2,4,7}:{(176,1),(179,1),(182,1),(201,1)}
       191:{1,4,7}:{(177,1),(180,1),(196,1),(200,1)}
       192:{1,3,6}:{(178,1),(180,1),(198,1),(200,1),(202,1)}
       193:{2,3,6}:{(178,1),(179,1),(199,1),(201,1),(202,1)}
       194:{2,6,7}:{(181,1),(182,1)}
       195:{3,6}:{(183,1),(184,1),(203,1)}
       196:{1,5,7}:{(184,1),(188,1),(191,1),(203,1)}
       197:{3,4}:{(185,1),(186,1),(204,1)}
       198:{1,3,5}:{(186,1),(188,1),(192,1),(204,1),(206,1),(209,1)}
       199:{2,3,5}:{(186,1),(187,1),(193,1),(205,1),(206,1)}
       200:{1,3,7}:{(189,1),(191,1),(192,1),(207,1)}
       201:{2,3,7}:{(189,1),(190,1),(193,1),(207,1)}
       202:{1,2,6}:{(192,1),(193,1),(206,1),(207,1)}
       203:{1,6}:{(195,1),(196,1)}
       204:{1,4}:{(197,1),(198,1)}
       205:{2,3,4}:{(197,1),(199,1),(208,1)}
       206:{1,2,5}:{(198,1),(199,1),(202,1),(208,1)}
       207:{1,2,7}:{(200,1),(201,1),(202,1)}
       208:{1,2,4}:{(204,1),(205,1),(206,1),(209,1)}
       209:{1,3}:{(208,1)}

 399 :   0:{2,3,4,7}:{(1,1),(2,1),(3,1),(35,1),(53,1),(101,1),(152,1),(204,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(6,1),(20,1),(208,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(9,1),(23,1),(173,1),(197,1),(201,1)}
         3:{2,3,4,6}:{(0,1),(6,1),(8,1),(9,1),(33,1),(58,1),(63,1),(71,1),(124,1)}
         4:{1,3,7}:{(1,1),(11,1),(101,1),(209,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(205,1),(207,1)}
         6:{1,2,4,6}:{(1,1),(3,1),(11,1),(13,1),(14,1),(36,1),(39,1)}
         7:{2,4,5,7}:{(2,1),(15,1),(16,1),(19,1),(51,1),(53,1),(184,1),(192,1)}
         8:{2,3,6}:{(2,1),(13,1),(16,1),(42,1),(188,1)}
         9:{2,3,5}:{(3,1),(14,1),(19,1),(47,1),(87,1),(151,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(20,1),(21,1),(22,1),(23,1),(60,1),(196,1),(199,1),(200,1)}
        11:{1,3,6}:{(4,1),(6,1),(22,1),(71,1)}
        12:{1,2,4,5,7}:{(5,1),(7,1),(20,1),(23,1),(24,1),(27,1),(28,1),(57,1),(60,1),(64,1),(69,1),(70,1),(117,1),(119,1),(121,1),(132,1),(166,1),(169,1),(173,1),(174,1),(199,1)}
        13:{1,2,6}:{(5,1),(8,1),(21,1)}
        14:{1,2,5}:{(6,1),(9,1),(22,1),(60,1)}
        15:{3,4,5,7}:{(7,1),(23,1),(28,1),(29,1),(34,1),(76,1),(81,1),(119,1),(132,1),(167,1),(176,1)}
        16:{2,4,6}:{(7,1),(8,1),(29,1),(31,1)}
        17:{2,3,6,7}:{(8,1),(25,1),(30,1),(32,1),(67,1),(140,1),(201,1)}
        18:{2,3,5,6}:{(8,1),(9,1),(26,1),(31,1),(32,1),(33,1),(68,1),(71,1),(80,1)}
        19:{2,4,5}:{(9,1),(33,1),(34,1),(119,1)}
        20:{1,4,7}:{(10,1),(35,1),(36,1),(39,1),(203,1)}
        21:{1,3,6}:{(10,1),(13,1),(36,1),(42,1),(206,1)}
        22:{1,3,5}:{(11,1),(14,1),(39,1),(47,1)}
        23:{3,5,7}:{(12,1),(35,1),(42,1),(47,1),(87,1),(101,1),(183,1),(189,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(16,1),(36,1),(42,1),(44,1),(48,1),(85,1),(94,1),(100,1),(149,1),(185,1),(188,1),(206,1)}
        25:{1,2,6,7}:{(13,1),(17,1),(37,1),(45,1),(164,1),(188,1),(207,1)}
        26:{1,2,5,6}:{(13,1),(14,1),(18,1),(38,1),(45,1),(46,1),(111,1),(151,1),(188,1)}
        27:{1,2,4,5}:{(14,1),(19,1),(39,1),(46,1),(47,1),(55,1),(89,1),(93,1),(104,1),(151,1)}
        28:{1,4,5,7}:{(15,1),(40,1),(48,1),(55,1),(105,1),(112,1),(144,1),(156,1)}
        29:{3,4,6}:{(15,1),(16,1),(42,1),(48,1),(50,1),(100,1)}
        30:{2,4,6,7}:{(16,1),(17,1),(49,1),(51,1),(53,1),(192,1),(194,1)}
        31:{2,5,6}:{(16,1),(50,1),(51,1)}
        32:{2,3,5,7}:{(17,1),(18,1),(45,1),(51,1),(53,1),(99,1),(101,1),(110,1)}
        33:{2,4,6}:{(18,1),(19,1),(53,1),(54,1),(100,1)}
        34:{3,4,5}:{(19,1),(47,1),(54,1),(55,1)}
        35:{3,4,7}:{(20,1),(23,1),(57,1),(58,1),(63,1),(132,1),(195,1)}
        36:{1,4,6}:{(20,1),(21,1),(58,1),(60,1)}
        37:{1,3,6,7}:{(21,1),(25,1),(59,1),(61,1),(67,1),(172,1),(200,1)}
        38:{1,3,5,6}:{(21,1),(22,1),(26,1),(60,1),(61,1),(62,1),(68,1),(71,1),(120,1),(122,1),(172,1)}
        39:{1,4}:{(22,1),(63,1)}
        40:{1,3,5,7}:{(23,1),(28,1),(56,1),(64,1),(65,1),(72,1),(115,1),(133,1),(199,1)}
        41:{2,3,5,7}:{(23,1),(57,1),(64,1),(66,1),(73,1),(113,1),(117,1),(134,1),(165,1),(173,1)}
        42:{3,6}:{(23,1),(24,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(30,1),(59,1),(67,1),(69,1),(70,1),(74,1),(116,1),(126,1),(132,1),(174,1)}
        44:{1,2,5,6}:{(24,1),(31,1),(60,1),(68,1),(69,1),(75,1),(117,1),(120,1),(168,1)}
        45:{1,2,5,7}:{(25,1),(26,1),(32,1),(61,1),(70,1),(141,1),(173,1)}
        46:{1,2,4,6}:{(26,1),(27,1),(33,1),(62,1),(70,1),(71,1),(82,1),(124,1),(135,1)}
        47:{3,5}:{(27,1),(63,1),(71,1)}
        48:{1,4,6}:{(28,1),(29,1),(65,1),(75,1)}
        49:{3,4,6,7}:{(29,1),(30,1),(67,1),(74,1),(76,1),(81,1),(132,1),(139,1),(140,1),(176,1),(180,1)}
        50:{3,5,6}:{(29,1),(31,1),(75,1),(76,1),(77,1)}
        51:{2,5,7}:{(30,1),(31,1),(76,1)}
        52:{2,4,5,6}:{(31,1),(33,1),(77,1),(79,1),(80,1)}
        53:{2,4,7}:{(32,1),(33,1),(81,1),(132,1)}
        54:{3,4,6}:{(33,1),(34,1),(71,1),(80,1),(81,1),(82,1)}
        55:{1,4,5}:{(34,1),(72,1),(82,1)}
        56:{1,3,4,7}:{(35,1),(40,1),(83,1),(84,1),(92,1),(156,1),(189,1),(193,1)}
        57:{2,4,7}:{(35,1),(41,1),(85,1),(93,1),(182,1)}
        58:{3,4,6}:{(35,1),(36,1),(42,1),(85,1),(87,1),(100,1)}
        59:{1,4,6,7}:{(36,1),(37,1),(86,1),(88,1),(90,1),(149,1),(193,1),(206,1)}
        60:{1,5}:{(36,1),(87,1)}
        61:{1,3,5,7}:{(37,1),(38,1),(45,1),(88,1),(90,1),(99,1),(101,1),(150,1)}
        62:{1,4,6}:{(38,1),(39,1),(89,1),(90,1),(91,1),(100,1)}
        63:{3,4}:{(39,1),(47,1),(93,1)}
        64:{1,2,5,7}:{(40,1),(41,1),(83,1),(94,1),(104,1),(143,1),(160,1)}
        65:{1,3,6}:{(40,1),(42,1),(48,1),(94,1),(206,1)}
        66:{2,3,6}:{(41,1),(42,1),(85,1),(94,1),(188,1)}
        67:{3,6,7}:{(42,1),(43,1),(99,1),(101,1),(189,1)}
        68:{3,5,6}:{(42,1),(44,1),(87,1),(99,1),(100,1)}
        69:{1,2,5,7}:{(43,1),(44,1),(51,1),(88,1),(99,1),(105,1),(145,1)}
        70:{1,2,4,7}:{(45,1),(46,1),(53,1),(90,1),(101,1),(112,1),(152,1),(160,1)}
        71:{3,6}:{(46,1),(47,1),(101,1)}
        72:{1,3,5}:{(47,1),(55,1),(92,1),(102,1),(104,1)}
        73:{2,3,5}:{(47,1),(93,1),(103,1),(104,1),(151,1),(153,1)}
        74:{1,4,6,7}:{(48,1),(49,1),(95,1),(105,1),(112,1),(156,1),(164,1)}
        75:{1,5,6}:{(48,1),(50,1),(105,1)}
        76:{3,5,7}:{(49,1),(50,1),(51,1),(105,1),(108,1)}
        77:{4,5,6}:{(50,1),(100,1),(108,1)}
        78:{2,5,6,7}:{(51,1),(107,1),(109,1),(194,1)}
        79:{2,4,5,7}:{(51,1),(52,1),(53,1),(108,1),(109,1),(110,1)}
        80:{3,5,6}:{(52,1),(54,1),(110,1),(111,1)}
        81:{3,4,7}:{(53,1),(54,1),(101,1),(110,1),(112,1)}
        82:{1,4,6}:{(54,1),(55,1),(102,1),(111,1),(112,1)}
        83:{1,2,4,7}:{(56,1),(57,1),(64,1),(113,1),(114,1),(125,1)}
        84:{1,3,4,6}:{(56,1),(58,1),(65,1),(114,1),(115,1),(129,1),(175,1),(179,1),(195,1)}
        85:{2,4,6}:{(57,1),(58,1),(66,1),(117,1)}
        86:{3,4,6,7}:{(58,1),(59,1),(67,1),(116,1),(118,1),(123,1),(132,1),(171,1),(172,1),(178,1),(198,1)}
        87:{3,5}:{(58,1),(60,1),(117,1),(119,1)}
        88:{1,5,7}:{(59,1),(60,1),(118,1),(120,1)}
        89:{1,4,5}:{(60,1),(62,1),(119,1),(122,1)}
        90:{1,4,7}:{(61,1),(62,1),(123,1),(132,1)}
        91:{3,4,6}:{(62,1),(63,1),(71,1),(122,1),(123,1),(124,1),(172,1)}
        92:{1,3,4}:{(63,1),(72,1),(125,1)}
        93:{2,4}:{(63,1),(73,1)}
        94:{1,2,6}:{(64,1),(65,1),(66,1)}
        95:{1,3,6,7}:{(65,1),(67,1),(74,1),(126,1),(128,1),(133,1),(180,1)}
        96:{1,3,5,6}:{(65,1),(68,1),(75,1),(115,1),(127,1),(128,1),(129,1),(138,1),(175,1)}
        97:{2,3,6,7}:{(66,1),(67,1),(116,1),(126,1),(130,1),(134,1),(198,1)}
        98:{2,3,5,6}:{(66,1),(68,1),(117,1),(127,1),(130,1),(131,1),(165,1),(168,1),(170,1),(175,1),(198,1)}
        99:{3,5,7}:{(67,1),(68,1),(69,1),(132,1)}
       100:{4,6}:{(68,1),(119,1),(132,1)}
       101:{3,7}:{(70,1),(71,1)}
       102:{1,3,6}:{(71,1),(72,1),(82,1),(133,1),(135,1)}
       103:{2,3,6}:{(71,1),(73,1),(124,1),(134,1),(135,1)}
       104:{1,2,5}:{(72,1),(73,1),(125,1),(135,1)}
       105:{1,5,7}:{(74,1),(75,1),(76,1)}
       106:{1,4,5,6}:{(75,1),(77,1),(129,1),(137,1),(138,1)}
       107:{3,5,6,7}:{(76,1),(78,1),(136,1),(139,1),(140,1),(180,1)}
       108:{4,5,7}:{(76,1),(77,1),(132,1),(139,1)}
       109:{2,4,6,7}:{(78,1),(79,1),(139,1),(140,1)}
       110:{3,5,7}:{(79,1),(80,1),(81,1),(140,1),(141,1)}
       111:{1,5,6}:{(80,1),(82,1),(141,1)}
       112:{1,4,7}:{(81,1),(82,1),(133,1),(141,1)}
       113:{2,3,7}:{(83,1),(142,1),(153,1),(189,1)}
       114:{1,2,4,6}:{(83,1),(84,1),(85,1),(94,1),(142,1),(143,1),(182,1)}
       115:{1,3,5}:{(84,1),(87,1),(143,1),(144,1),(183,1),(187,1)}
       116:{2,4,6,7}:{(85,1),(86,1),(97,1),(145,1),(152,1),(158,1),(185,1),(188,1)}
       117:{2,5}:{(85,1),(87,1)}
       118:{3,5,7}:{(86,1),(87,1),(88,1),(145,1),(147,1),(148,1)}
       119:{4,5}:{(87,1),(100,1)}
       120:{1,5,6}:{(88,1),(147,1),(149,1),(206,1)}
       121:{1,4,5,7}:{(88,1),(89,1),(90,1),(148,1),(149,1),(150,1)}
       122:{3,5}:{(89,1),(91,1),(151,1)}
       123:{3,4,7}:{(90,1),(91,1),(101,1),(150,1),(152,1)}
       124:{2,4,6}:{(91,1),(93,1),(103,1),(151,1),(152,1),(188,1)}
       125:{1,2,4}:{(92,1),(93,1),(104,1),(153,1)}
       126:{1,2,6,7}:{(94,1),(95,1),(97,1),(154,1),(160,1),(194,1),(206,1)}
       127:{1,2,5,6}:{(94,1),(96,1),(98,1),(143,1),(154,1),(155,1),(163,1),(187,1),(206,1)}
       128:{1,3,5,7}:{(95,1),(96,1),(99,1),(105,1),(154,1),(156,1),(162,1),(189,1)}
       129:{1,4,6}:{(96,1),(100,1),(144,1),(156,1),(157,1)}
       130:{2,3,5,7}:{(97,1),(98,1),(99,1),(145,1),(154,1),(158,1),(186,1),(189,1)}
       131:{2,4,6}:{(98,1),(100,1),(146,1),(158,1),(159,1),(182,1)}
       132:{4,7}:{(99,1),(100,1)}
       133:{1,3,7}:{(101,1),(102,1),(112,1),(160,1)}
       134:{2,3,7}:{(101,1),(103,1),(152,1),(160,1)}
       135:{1,2,6}:{(102,1),(103,1),(104,1),(160,1)}
       136:{1,5,6,7}:{(105,1),(107,1),(161,1),(164,1)}
       137:{1,4,5,7}:{(105,1),(106,1),(108,1),(156,1),(161,1),(162,1)}
       138:{3,5,6}:{(106,1),(157,1),(162,1),(163,1)}
       139:{4,6,7}:{(107,1),(108,1)}
       140:{3,6,7}:{(109,1),(110,1),(164,1)}
       141:{1,5,7}:{(110,1),(111,1),(112,1),(164,1)}
       142:{2,3,6}:{(113,1),(114,1),(165,1),(175,1)}
       143:{1,2,5}:{(114,1),(115,1),(117,1),(165,1)}
       144:{1,4,5}:{(115,1),(119,1),(129,1),(167,1)}
       145:{2,5,7}:{(116,1),(117,1),(118,1),(168,1)}
       146:{2,4,5}:{(117,1),(119,1),(131,1),(170,1)}
       147:{3,5,6}:{(118,1),(120,1),(168,1),(171,1),(172,1),(198,1)}
       148:{4,5,7}:{(118,1),(119,1),(132,1),(171,1)}
       149:{1,4,6}:{(120,1),(121,1),(171,1),(172,1)}
       150:{3,5,7}:{(121,1),(122,1),(123,1),(172,1),(173,1)}
       151:{2,5}:{(122,1),(124,1)}
       152:{2,4,7}:{(123,1),(124,1),(134,1),(173,1)}
       153:{2,3}:{(125,1)}
       154:{1,2,5,7}:{(126,1),(127,1),(128,1),(130,1),(174,1),(181,1),(199,1)}
       155:{1,2,4,6}:{(127,1),(129,1),(131,1),(166,1),(174,1),(175,1),(177,1),(179,1),(202,1)}
       156:{1,4,7}:{(128,1),(129,1),(132,1),(176,1)}
       157:{3,4,6}:{(129,1),(138,1),(167,1),(175,1),(176,1),(177,1)}
       158:{2,4,7}:{(130,1),(131,1),(132,1),(178,1)}
       159:{3,4,6}:{(131,1),(170,1),(175,1),(178,1),(179,1),(195,1),(198,1)}
       160:{1,2,7}:{(133,1),(134,1),(135,1)}
       161:{1,4,6,7}:{(136,1),(137,1),(139,1),(180,1)}
       162:{3,5,7}:{(137,1),(138,1),(176,1),(180,1),(181,1)}
       163:{2,5,6}:{(138,1),(177,1),(181,1)}
       164:{1,6,7}:{(140,1),(141,1)}
       165:{2,3,5}:{(142,1),(143,1),(182,1),(183,1)}
       166:{1,2,4,5}:{(143,1),(144,1),(146,1),(155,1),(182,1),(183,1),(184,1),(187,1),(203,1),(205,1)}
       167:{3,4,5}:{(144,1),(157,1),(183,1),(184,1)}
       168:{2,5,6}:{(145,1),(147,1),(185,1),(188,1)}
       169:{2,4,5,7}:{(145,1),(146,1),(148,1),(158,1),(185,1),(186,1)}
       170:{3,5}:{(146,1),(159,1),(187,1)}
       171:{4,6}:{(147,1),(148,1)}
       172:{3,6}:{(149,1),(150,1),(188,1)}
       173:{2,5,7}:{(150,1),(151,1),(152,1),(188,1)}
       174:{1,2,4,7}:{(154,1),(155,1),(156,1),(158,1),(189,1),(192,1),(193,1),(207,1)}
       175:{3,6}:{(155,1),(183,1),(189,1)}
       176:{3,4,7}:{(156,1),(157,1),(162,1),(189,1),(192,1)}
       177:{2,4,6}:{(157,1),(163,1),(184,1),(191,1),(192,1)}
       178:{3,4,7}:{(158,1),(159,1),(186,1),(189,1),(193,1)}
       179:{1,4,6}:{(159,1),(187,1),(190,1),(193,1),(203,1),(206,1)}
       180:{3,6,7}:{(161,1),(162,1),(194,1)}
       181:{2,5,7}:{(162,1),(163,1),(192,1),(194,1)}
       182:{2,4}:{(165,1),(195,1)}
       183:{3,5}:{(166,1),(175,1),(195,1)}
       184:{2,4,5}:{(167,1),(177,1),(197,1)}
       185:{2,4,6}:{(168,1),(169,1),(171,1),(198,1)}
       186:{3,5,7}:{(169,1),(170,1),(178,1),(198,1),(199,1)}
       187:{1,5}:{(170,1),(179,1)}
       188:{2,6}:{(172,1),(173,1)}
       189:{3,7}:{(174,1),(175,1)}
       190:{1,3,6}:{(175,1),(179,1),(196,1),(200,1),(202,1)}
       191:{2,3,6}:{(175,1),(177,1),(197,1),(201,1),(202,1)}
       192:{2,4,7}:{(176,1),(177,1),(181,1),(201,1)}
       193:{1,4,7}:{(178,1),(179,1),(199,1),(200,1)}
       194:{2,6,7}:{(180,1),(181,1)}
       195:{3,4}:{(182,1),(183,1),(203,1)}
       196:{1,3,5}:{(183,1),(187,1),(190,1),(203,1),(205,1),(209,1)}
       197:{2,3,5}:{(183,1),(184,1),(191,1),(204,1),(205,1)}
       198:{3,6}:{(185,1),(186,1),(206,1)}
       199:{1,5,7}:{(186,1),(187,1),(193,1),(206,1)}
       200:{1,3,7}:{(189,1),(190,1),(193,1),(207,1)}
       201:{2,3,7}:{(189,1),(191,1),(192,1),(207,1)}
       202:{1,2,6}:{(190,1),(191,1),(205,1),(207,1)}
       203:{1,4}:{(195,1),(196,1)}
       204:{2,3,4}:{(195,1),(197,1),(208,1)}
       205:{1,2,5}:{(196,1),(197,1),(202,1),(208,1)}
       206:{1,6}:{(198,1),(199,1)}
       207:{1,2,7}:{(200,1),(201,1),(202,1)}
       208:{1,2,4}:{(203,1),(204,1),(205,1),(209,1)}
       209:{1,3}:{(208,1)}

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

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

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

 403 :  0:{1,2,6,7}:{(3,1),(5,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(38,1),(39,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(17,1),(20,1),(21,1),(25,1),(38,1),(39,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{3,5,6}:{(1,1),(9,1),(10,1),(13,1),(26,1),(28,1),(45,1)}
        5:{1,2,5,7}:{(0,1),(1,1),(9,1),(12,1),(46,1),(47,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(30,1),(31,1),(35,1)}
        7:{3,5}:{(2,1),(11,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(18,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(18,1),(22,1)}
       10:{4,6}:{(4,1),(17,1),(18,1)}
       11:{3,4}:{(7,1),(20,1),(21,1),(43,1)}
       12:{1,2,4,7}:{(5,1),(6,1),(18,1),(22,1),(40,1),(41,1),(44,1)}
       13:{3,6}:{(6,1),(7,1),(22,1)}
       14:{1,3,5}:{(7,1),(20,1),(23,1),(25,1),(38,1),(43,1),(54,1)}
       15:{2,3,5}:{(7,1),(21,1),(24,1),(25,1),(39,1),(43,1),(54,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,5}:{(10,1),(28,1),(58,1)}
       18:{4,7}:{(9,1),(10,1)}
       19:{3,4,6}:{(10,1),(11,1),(13,1),(28,1),(29,1),(30,1),(31,1),(45,1),(50,1),(58,1),(61,1)}
       20:{1,4}:{(11,1),(14,1),(58,1)}
       21:{2,4}:{(11,1),(15,1),(58,1)}
       22:{3,7}:{(12,1),(13,1)}
       23:{1,3,6}:{(13,1),(14,1),(30,1),(33,1),(35,1),(50,1)}
       24:{2,3,6}:{(13,1),(15,1),(31,1),(34,1),(35,1),(50,1)}
       25:{1,2,5}:{(14,1),(15,1),(32,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(18,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,5}:{(17,1),(19,1),(38,1),(39,1),(62,1)}
       29:{3,4,7}:{(18,1),(19,1),(22,1),(37,1),(40,1),(41,1),(55,1),(60,1)}
       30:{1,4,6}:{(19,1),(20,1),(23,1),(38,1),(40,1),(51,1)}
       31:{2,4,6}:{(19,1),(21,1),(24,1),(39,1),(41,1),(52,1)}
       32:{1,2,4}:{(20,1),(21,1),(25,1),(43,1)}
       33:{1,3,7}:{(22,1),(23,1),(40,1),(44,1),(55,1)}
       34:{2,3,7}:{(22,1),(24,1),(41,1),(44,1),(55,1)}
       35:{1,2,6}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(45,1),(46,1),(47,1)}
       38:{1,5}:{(28,1),(30,1)}
       39:{2,5}:{(28,1),(31,1)}
       40:{1,4,7}:{(29,1),(30,1),(33,1),(46,1)}
       41:{2,4,7}:{(29,1),(31,1),(34,1),(47,1)}
       42:{1,2,4,6}:{(30,1),(31,1),(32,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       43:{3}:{(32,1)}
       44:{1,2,7}:{(33,1),(34,1),(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(40,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(41,1),(52,1)}
       48:{1,2,5}:{(38,1),(39,1),(42,1),(54,1),(62,1)}
       49:{1,2,4,7}:{(40,1),(41,1),(42,1),(44,1),(53,1),(55,1),(60,1)}
       50:{3,6}:{(42,1),(43,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,5}:{(48,1),(50,1),(58,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(54,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 404 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(13,1),(14,1),(35,1),(36,1),(37,1),(41,1),(65,1),(66,1),(68,1),(71,1),(99,1),(100,1)}
         1:{3,5,7}:{(0,1),(3,1),(7,1),(22,1),(85,1),(88,1)}
         2:{1,2,4,6}:{(0,1),(7,1),(8,1),(20,1),(21,1),(26,1),(29,1),(78,1),(79,1),(109,1),(110,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(11,1),(33,1),(41,1),(101,1)}
         4:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(30,1),(31,1),(38,1),(41,1),(71,1),(134,1)}
         5:{1,3,5,7}:{(1,1),(9,1),(14,1),(15,1),(33,1),(35,1),(67,1),(100,1),(102,1),(104,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(14,1),(16,1),(33,1),(36,1),(67,1),(99,1),(103,1),(105,1)}
         7:{3,6}:{(1,1),(2,1)}
         8:{1,2,5,6}:{(2,1),(13,1),(17,1),(35,1),(36,1),(60,1),(61,1)}
         9:{1,4,7}:{(3,1),(5,1),(20,1),(84,1),(114,1)}
        10:{2,4,7}:{(3,1),(6,1),(21,1),(84,1),(115,1)}
        11:{3,4,6}:{(3,1),(7,1),(20,1),(21,1),(22,1),(29,1),(50,1),(84,1)}
        12:{3,6,7}:{(4,1),(7,1),(25,1),(88,1),(137,1)}
        13:{1,2,5,7}:{(4,1),(8,1),(25,1),(47,1),(48,1),(136,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(19,1),(26,1),(51,1),(116,1),(117,1)}
        15:{1,3,6}:{(5,1),(7,1),(20,1),(26,1),(50,1),(110,1)}
        16:{2,3,6}:{(6,1),(7,1),(21,1),(26,1),(50,1),(109,1)}
        17:{3,5,6}:{(7,1),(8,1),(22,1),(25,1),(29,1)}
        18:{3,4,6,7}:{(11,1),(12,1),(30,1),(31,1),(32,1),(41,1),(62,1),(63,1),(72,1),(73,1),(95,1),(96,1),(97,1),(119,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(14,1),(33,1),(34,1),(125,1)}
        20:{1,4,6}:{(9,1),(11,1),(15,1),(35,1)}
        21:{2,4,6}:{(10,1),(11,1),(16,1),(36,1)}
        22:{3,5}:{(11,1),(35,1),(36,1),(37,1)}
        23:{1,3,6,7}:{(12,1),(15,1),(30,1),(38,1),(39,1),(63,1),(95,1),(104,1),(120,1)}
        24:{2,3,6,7}:{(12,1),(16,1),(31,1),(38,1),(40,1),(63,1),(96,1),(105,1),(121,1)}
        25:{3,5,7}:{(12,1),(13,1),(17,1),(41,1),(138,1)}
        26:{1,2,6}:{(14,1),(15,1),(16,1)}
        27:{1,3,5,6}:{(15,1),(17,1),(35,1),(39,1),(42,1),(43,1),(60,1),(67,1),(69,1),(74,1),(93,1),(95,1),(102,1),(120,1),(132,1),(138,1)}
        28:{2,3,5,6}:{(16,1),(17,1),(36,1),(40,1),(42,1),(44,1),(61,1),(67,1),(70,1),(74,1),(93,1),(96,1),(103,1),(121,1),(133,1),(138,1)}
        29:{4,6}:{(17,1),(37,1),(41,1)}
        30:{1,4,6,7}:{(18,1),(20,1),(23,1),(47,1),(55,1),(78,1),(90,1),(110,1),(127,1)}
        31:{2,4,6,7}:{(18,1),(21,1),(24,1),(48,1),(56,1),(79,1),(89,1),(109,1),(128,1)}
        32:{3,5,7}:{(18,1),(22,1),(45,1),(47,1),(48,1),(49,1),(126,1)}
        33:{3,7}:{(19,1),(50,1),(131,1)}
        34:{1,2,4,6}:{(19,1),(20,1),(21,1),(26,1),(50,1),(51,1),(84,1)}
        35:{1,5}:{(20,1),(22,1)}
        36:{2,5}:{(21,1),(22,1)}
        37:{4,5}:{(22,1),(29,1),(84,1)}
        38:{1,2,6,7}:{(23,1),(24,1),(26,1),(54,1),(109,1),(110,1),(117,1),(129,1)}
        39:{1,3,5,7}:{(23,1),(25,1),(27,1),(47,1),(54,1),(55,1),(80,1),(82,1),(88,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(28,1),(48,1),(54,1),(56,1),(80,1),(83,1),(88,1)}
        41:{4,7}:{(25,1),(29,1),(139,1)}
        42:{1,2,5,6}:{(26,1),(27,1),(28,1),(51,1),(54,1),(57,1),(86,1),(87,1),(109,1),(110,1),(116,1),(129,1),(136,1)}
        43:{1,4,6}:{(27,1),(29,1),(52,1),(55,1),(58,1),(84,1),(107,1),(114,1),(139,1)}
        44:{2,4,6}:{(28,1),(29,1),(53,1),(56,1),(59,1),(84,1),(107,1),(115,1),(139,1)}
        45:{3,5,6}:{(32,1),(60,1),(61,1),(62,1),(95,1),(96,1)}
        46:{1,2,4,6,7}:{(30,1),(31,1),(34,1),(38,1),(63,1),(64,1),(71,1),(94,1),(97,1)}
        47:{1,5,7}:{(30,1),(32,1),(35,1),(60,1),(132,1)}
        48:{2,5,7}:{(31,1),(32,1),(36,1),(61,1),(133,1)}
        49:{4,5,7}:{(32,1),(37,1),(41,1),(62,1),(97,1),(118,1)}
        50:{3,6}:{(33,1),(34,1),(67,1)}
        51:{1,2,5}:{(34,1),(35,1),(36,1),(67,1)}
        52:{1,4,5}:{(35,1),(37,1),(43,1),(69,1),(118,1),(132,1)}
        53:{2,4,5}:{(36,1),(37,1),(44,1),(70,1),(118,1),(133,1)}
        54:{1,2,5,7}:{(38,1),(39,1),(40,1),(42,1),(71,1),(99,1),(100,1)}
        55:{1,4,7}:{(39,1),(41,1),(43,1),(72,1),(97,1)}
        56:{2,4,7}:{(40,1),(41,1),(44,1),(73,1),(97,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(44,1),(68,1),(71,1),(74,1),(75,1),(76,1),(106,1),(125,1)}
        58:{3,4,6}:{(43,1),(69,1),(72,1),(74,1),(75,1),(95,1),(101,1)}
        59:{3,4,6}:{(44,1),(70,1),(73,1),(74,1),(76,1),(96,1),(101,1)}
        60:{1,5,6}:{(45,1),(47,1),(78,1),(110,1)}
        61:{2,5,6}:{(45,1),(48,1),(79,1),(109,1)}
        62:{4,6}:{(45,1),(49,1)}
        63:{3,6,7}:{(46,1),(50,1),(80,1),(88,1),(108,1)}
        64:{1,2,5,7}:{(46,1),(47,1),(48,1),(51,1),(77,1),(80,1)}
        65:{1,4,5,7}:{(47,1),(49,1),(52,1),(55,1),(78,1),(82,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(53,1),(56,1),(79,1),(83,1)}
        67:{3,5}:{(50,1),(51,1),(84,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(53,1),(57,1),(84,1),(85,1),(86,1),(87,1),(114,1),(115,1),(116,1),(136,1),(139,1)}
        69:{3,5}:{(52,1),(58,1),(86,1)}
        70:{3,5}:{(53,1),(59,1),(87,1)}
        71:{1,2,4,7}:{(54,1),(55,1),(56,1),(57,1),(88,1),(89,1),(90,1),(117,1)}
        72:{3,4,7}:{(55,1),(58,1),(82,1),(88,1),(89,1)}
        73:{3,4,7}:{(56,1),(59,1),(83,1),(88,1),(90,1)}
        74:{3,6}:{(57,1),(85,1),(88,1),(131,1)}
        75:{2,4,6}:{(58,1),(86,1),(89,1),(92,1),(109,1),(115,1)}
        76:{1,4,6}:{(59,1),(87,1),(90,1),(91,1),(110,1),(114,1)}
        77:{1,2,5,6}:{(60,1),(61,1),(64,1),(93,1),(94,1),(132,1),(133,1)}
        78:{1,4,6}:{(60,1),(62,1),(65,1),(95,1)}
        79:{2,4,6}:{(61,1),(62,1),(66,1),(96,1)}
        80:{3,5,7}:{(63,1),(64,1),(67,1),(93,1),(97,1)}
        81:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(68,1),(71,1),(94,1),(97,1),(98,1),(99,1),(100,1),(118,1),(122,1),(123,1),(124,1),(132,1),(133,1)}
        82:{3,5,7}:{(65,1),(69,1),(72,1),(95,1),(99,1)}
        83:{3,5,7}:{(66,1),(70,1),(73,1),(96,1),(100,1)}
        84:{4}:{(67,1)}
        85:{3,5}:{(68,1),(74,1),(101,1)}
        86:{2,5}:{(69,1),(75,1)}
        87:{1,5}:{(70,1),(76,1)}
        88:{3,7}:{(71,1),(74,1)}
        89:{2,4,7}:{(72,1),(75,1),(99,1),(105,1)}
        90:{1,4,7}:{(73,1),(76,1),(100,1),(104,1)}
        91:{1,3,6}:{(74,1),(76,1),(102,1),(104,1),(106,1)}
        92:{2,3,6}:{(74,1),(75,1),(103,1),(105,1),(106,1)}
        93:{3,5,6}:{(77,1),(80,1),(107,1),(108,1),(126,1)}
        94:{1,2,4,6}:{(77,1),(78,1),(79,1),(81,1),(107,1),(108,1),(109,1),(110,1),(127,1),(128,1),(129,1)}
        95:{3,6}:{(78,1),(82,1),(109,1)}
        96:{3,6}:{(79,1),(83,1),(110,1)}
        97:{4,7}:{(80,1),(84,1),(107,1)}
        98:{3,5,7}:{(81,1),(85,1),(88,1),(108,1),(111,1),(126,1)}
        99:{2,5,7}:{(82,1),(86,1),(89,1),(109,1)}
       100:{1,5,7}:{(83,1),(87,1),(90,1),(110,1)}
       101:{3,4}:{(84,1),(85,1),(114,1),(115,1),(131,1),(139,1)}
       102:{1,3,5}:{(85,1),(87,1),(91,1),(114,1),(116,1),(131,1)}
       103:{2,3,5}:{(85,1),(86,1),(92,1),(115,1),(116,1),(131,1)}
       104:{1,3,7}:{(88,1),(90,1),(91,1),(117,1)}
       105:{2,3,7}:{(88,1),(89,1),(92,1),(117,1)}
       106:{1,2,6}:{(91,1),(92,1),(116,1),(117,1)}
       107:{4,6}:{(93,1),(97,1),(118,1)}
       108:{3,6}:{(94,1),(98,1)}
       109:{2,6}:{(95,1),(99,1)}
       110:{1,6}:{(96,1),(100,1)}
       111:{3,4,7}:{(97,1),(98,1),(101,1),(119,1),(122,1),(123,1),(135,1)}
       112:{1,3,5,7}:{(98,1),(100,1),(102,1),(104,1),(120,1),(122,1),(124,1),(132,1),(135,1),(138,1)}
       113:{2,3,5,7}:{(98,1),(99,1),(103,1),(105,1),(121,1),(123,1),(124,1),(133,1),(135,1),(138,1)}
       114:{1,4}:{(101,1),(102,1)}
       115:{2,4}:{(101,1),(103,1)}
       116:{1,2,5}:{(102,1),(103,1),(106,1),(125,1)}
       117:{1,2,7}:{(104,1),(105,1),(106,1)}
       118:{4,5}:{(107,1),(126,1),(139,1)}
       119:{3,4,6}:{(107,1),(108,1),(111,1),(126,1),(127,1),(128,1),(137,1),(139,1)}
       120:{1,3,6}:{(108,1),(110,1),(112,1),(127,1),(129,1),(137,1)}
       121:{2,3,6}:{(108,1),(109,1),(113,1),(128,1),(129,1),(137,1)}
       122:{1,4,7}:{(111,1),(112,1),(114,1),(127,1),(139,1)}
       123:{2,4,7}:{(111,1),(113,1),(115,1),(128,1),(139,1)}
       124:{1,2,5,7}:{(112,1),(113,1),(116,1),(117,1),(129,1),(130,1),(136,1)}
       125:{1,2,4}:{(114,1),(115,1),(116,1),(131,1)}
       126:{3,5}:{(118,1),(119,1),(132,1),(133,1)}
       127:{1,4,6}:{(119,1),(120,1),(122,1),(132,1)}
       128:{2,4,6}:{(119,1),(121,1),(123,1),(133,1)}
       129:{1,2,6}:{(120,1),(121,1),(124,1)}
       130:{1,2,4,7}:{(122,1),(123,1),(124,1),(125,1),(134,1),(135,1)}
       131:{3}:{(125,1)}
       132:{1,5}:{(126,1),(127,1)}
       133:{2,5}:{(126,1),(128,1)}
       134:{1,2,4,6}:{(127,1),(128,1),(129,1),(130,1),(136,1),(137,1),(139,1)}
       135:{3,7}:{(130,1),(131,1),(137,1)}
       136:{1,2,5}:{(132,1),(133,1),(134,1),(138,1)}
       137:{3,6}:{(134,1),(135,1),(138,1)}
       138:{3,5}:{(136,1),(137,1),(139,1)}
       139:{4}:{(138,1)}

 405 :   0:{1,3,4,6,7}:{(1,1),(2,1),(11,1),(24,1),(27,1),(31,1),(51,1),(55,1),(87,1),(90,1),(116,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(14,1),(16,1),(46,1),(74,1),(103,1),(104,1)}
         2:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(17,1),(45,1),(67,1),(99,1)}
         3:{2,3,6,7}:{(1,1),(7,1),(27,1),(116,1),(117,1)}
         4:{1,2,5,7}:{(1,1),(2,1),(7,1),(8,1),(61,1),(112,1)}
         5:{1,3,5,6}:{(2,1),(8,1),(11,1),(27,1),(32,1)}
         6:{1,4,5,7}:{(2,1),(11,1),(12,1),(83,1),(87,1)}
         7:{2,3,5,7}:{(3,1),(4,1),(13,1),(14,1),(17,1),(124,1)}
         8:{1,2,5,6}:{(4,1),(5,1),(13,1),(16,1),(47,1),(67,1)}
         9:{1,2,4,5,7}:{(4,1),(6,1),(14,1),(16,1),(17,1),(21,1),(35,1),(37,1),(44,1),(67,1),(100,1),(103,1)}
        10:{1,3,5,6,7}:{(5,1),(15,1),(18,1),(40,1),(45,1),(72,1),(120,1)}
        11:{1,4,6}:{(5,1),(6,1),(20,1)}
        12:{3,4,5,7}:{(6,1),(17,1),(20,1),(21,1),(45,1),(66,1),(71,1)}
        13:{2,3,5,6}:{(7,1),(8,1),(23,1),(27,1),(50,1)}
        14:{2,4,7}:{(7,1),(23,1),(24,1),(132,1)}
        15:{1,2,5,6,7}:{(8,1),(10,1),(22,1),(25,1),(61,1),(80,1),(89,1),(108,1)}
        16:{1,2,4,6}:{(8,1),(9,1),(11,1),(23,1),(27,1),(33,1),(51,1),(60,1)}
        17:{3,5,7}:{(9,1),(24,1),(27,1),(50,1),(113,1),(116,1)}
        18:{1,4,6,7}:{(10,1),(11,1),(30,1),(31,1),(87,1),(129,1)}
        19:{1,4,5,6}:{(11,1),(30,1),(32,1)}
        20:{3,4,6}:{(11,1),(12,1),(27,1),(32,1),(33,1)}
        21:{2,4,5,7}:{(12,1),(29,1),(33,1),(61,1),(84,1),(88,1)}
        22:{2,3,5,6,7}:{(13,1),(15,1),(34,1),(40,1),(63,1),(73,1),(94,1)}
        23:{2,4,6}:{(13,1),(14,1),(35,1),(36,1)}
        24:{3,4,7}:{(14,1),(17,1),(36,1),(37,1),(125,1)}
        25:{1,2,4,6,7}:{(15,1),(16,1),(18,1),(34,1),(39,1),(40,1),(46,1),(64,1),(74,1),(103,1),(119,1)}
        26:{1,2,4,5,6}:{(16,1),(19,1),(35,1),(39,1),(41,1),(47,1),(62,1),(67,1),(75,1),(76,1),(77,1),(93,1),(100,1),(119,1),(135,1),(139,1)}
        27:{3,6}:{(16,1),(17,1)}
        28:{1,3,5,7}:{(17,1),(37,1),(42,1),(44,1),(67,1),(70,1),(101,1)}
        29:{2,3,5,7}:{(17,1),(21,1),(38,1),(43,1),(44,1),(68,1)}
        30:{1,4,5,7}:{(18,1),(19,1),(45,1),(135,1)}
        31:{3,4,6,7}:{(18,1),(20,1),(40,1),(45,1),(46,1),(71,1),(134,1)}
        32:{3,5,6}:{(19,1),(20,1),(45,1),(47,1)}
        33:{2,4,6}:{(20,1),(21,1),(43,1),(47,1)}
        34:{2,4,6,7}:{(22,1),(23,1),(48,1),(49,1),(88,1),(107,1)}
        35:{2,4,5}:{(23,1),(50,1)}
        36:{3,4,6}:{(23,1),(24,1),(27,1),(50,1),(51,1)}
        37:{1,4,7}:{(24,1),(28,1),(51,1),(114,1)}
        38:{2,3,4,7}:{(24,1),(29,1),(52,1),(53,1),(88,1),(116,1)}
        39:{1,2,4,5,7}:{(25,1),(26,1),(30,1),(48,1),(54,1),(61,1),(80,1),(87,1),(88,1),(89,1)}
        40:{3,6,7}:{(25,1),(27,1),(54,1),(116,1),(128,1)}
        41:{3,5,6}:{(26,1),(27,1),(50,1),(54,1),(57,1),(113,1),(128,1),(138,1)}
        42:{1,3,6}:{(27,1),(28,1),(51,1),(60,1)}
        43:{2,3,6}:{(27,1),(29,1),(33,1),(60,1)}
        44:{1,2,5,7}:{(28,1),(29,1),(53,1),(60,1),(85,1)}
        45:{3,5,7}:{(30,1),(31,1),(32,1),(61,1),(138,1)}
        46:{2,4,6,7}:{(31,1),(33,1),(56,1),(61,1),(88,1),(137,1)}
        47:{2,5,6}:{(32,1),(33,1),(61,1)}
        48:{2,4,5,7}:{(34,1),(35,1),(62,1),(63,1)}
        49:{3,4,6,7}:{(34,1),(36,1),(40,1),(63,1),(64,1),(71,1),(92,1)}
        50:{3,5}:{(35,1),(36,1),(67,1)}
        51:{1,4,6}:{(36,1),(37,1),(42,1),(67,1)}
        52:{2,3,4,6}:{(36,1),(38,1),(43,1),(68,1),(69,1),(76,1),(105,1),(125,1)}
        53:{1,2,4,7}:{(37,1),(38,1),(44,1),(69,1),(70,1)}
        54:{3,5,7}:{(39,1),(40,1),(41,1),(71,1)}
        55:{1,3,6,7}:{(40,1),(42,1),(64,1),(72,1),(74,1),(118,1)}
        56:{2,3,6,7}:{(40,1),(43,1),(46,1),(73,1),(74,1),(133,1)}
        57:{3,4,6}:{(41,1),(66,1),(71,1),(75,1),(76,1),(105,1),(125,1)}
        58:{1,3,5,6}:{(41,1),(42,1),(67,1),(72,1),(75,1),(77,1),(93,1),(99,1),(101,1),(105,1),(118,1)}
        59:{2,3,5,6}:{(41,1),(43,1),(47,1),(68,1),(73,1),(76,1),(77,1),(105,1),(124,1),(133,1),(139,1)}
        60:{1,2,6}:{(42,1),(43,1),(44,1)}
        61:{2,5,7}:{(45,1),(46,1),(47,1),(139,1)}
        62:{2,4,5,6}:{(48,1),(78,1),(107,1)}
        63:{3,5,7}:{(48,1),(49,1),(50,1),(78,1),(80,1)}
        64:{1,4,6,7}:{(49,1),(51,1),(55,1),(80,1),(87,1),(106,1)}
        65:{2,3,4,6,7}:{(49,1),(52,1),(56,1),(81,1),(82,1),(88,1),(107,1),(116,1),(128,1),(131,1),(137,1)}
        66:{3,4,5}:{(50,1),(57,1),(83,1),(84,1),(113,1),(138,1)}
        67:{1,5}:{(50,1),(51,1)}
        68:{2,3,5}:{(50,1),(52,1),(84,1),(85,1),(113,1)}
        69:{1,2,4,6}:{(51,1),(52,1),(53,1),(60,1),(85,1),(86,1),(114,1)}
        70:{1,3,7}:{(53,1),(86,1),(116,1)}
        71:{3,4,7}:{(54,1),(57,1),(87,1),(88,1),(116,1)}
        72:{1,3,5,7}:{(54,1),(55,1),(58,1),(80,1),(87,1),(89,1),(116,1)}
        73:{2,3,5,7}:{(54,1),(56,1),(59,1),(61,1),(88,1),(89,1),(116,1)}
        74:{1,2,6,7}:{(55,1),(56,1),(60,1),(89,1),(127,1)}
        75:{1,4,6}:{(57,1),(58,1),(83,1),(87,1),(114,1)}
        76:{2,4,6}:{(57,1),(59,1),(84,1),(88,1),(132,1)}
        77:{1,2,5,6}:{(58,1),(59,1),(60,1),(85,1),(89,1),(91,1),(112,1),(127,1)}
        78:{3,5,6}:{(62,1),(63,1),(92,1),(93,1)}
        79:{3,4,5,7}:{(63,1),(66,1),(71,1),(92,1),(95,1),(96,1),(122,1)}
        80:{1,5,7}:{(63,1),(64,1),(67,1),(93,1)}
        81:{2,3,5,7}:{(63,1),(65,1),(68,1),(94,1),(96,1),(97,1),(122,1),(139,1)}
        82:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(74,1),(97,1),(98,1),(103,1),(119,1),(123,1)}
        83:{1,4,5}:{(66,1),(67,1),(75,1),(99,1)}
        84:{2,4,5}:{(66,1),(68,1),(76,1),(139,1)}
        85:{1,2,5}:{(67,1),(68,1),(69,1),(101,1)}
        86:{1,3,6}:{(69,1),(70,1),(101,1),(105,1)}
        87:{1,4,7}:{(71,1),(72,1),(75,1)}
        88:{2,4,7}:{(71,1),(73,1),(76,1)}
        89:{1,2,5,7}:{(72,1),(73,1),(74,1),(77,1),(103,1)}
        90:{1,3,4,6}:{(75,1),(99,1),(102,1),(104,1),(105,1),(118,1),(125,1),(134,1)}
        91:{1,2,4,6}:{(75,1),(76,1),(77,1),(100,1),(103,1),(105,1)}
        92:{3,4,6}:{(78,1),(79,1),(106,1),(107,1),(128,1)}
        93:{1,5,6}:{(78,1),(80,1),(106,1)}
        94:{2,3,5,6}:{(78,1),(81,1),(107,1),(108,1),(128,1)}
        95:{1,4,5,7}:{(79,1),(80,1),(83,1),(87,1),(106,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(81,1),(84,1),(88,1),(107,1)}
        97:{1,2,5,7}:{(80,1),(81,1),(82,1),(85,1),(108,1),(111,1)}
        98:{1,3,6,7}:{(82,1),(86,1),(111,1),(116,1),(128,1)}
        99:{1,3,5}:{(83,1),(90,1),(112,1),(113,1),(138,1)}
       100:{1,2,4,5}:{(83,1),(84,1),(85,1),(91,1),(112,1),(113,1),(114,1),(132,1)}
       101:{1,3,5}:{(85,1),(86,1),(113,1),(114,1)}
       102:{1,3,4,7}:{(87,1),(90,1),(109,1),(115,1),(116,1),(131,1)}
       103:{1,2,4,7}:{(87,1),(88,1),(89,1),(91,1),(116,1)}
       104:{1,2,4,6}:{(90,1),(112,1),(115,1),(117,1),(127,1),(132,1),(137,1)}
       105:{3,6}:{(91,1),(113,1),(116,1)}
       106:{1,4,6}:{(92,1),(93,1),(95,1),(118,1)}
       107:{2,4,6}:{(92,1),(94,1),(96,1)}
       108:{1,2,5,6}:{(93,1),(94,1),(97,1),(119,1),(120,1),(139,1)}
       109:{1,3,5,7}:{(95,1),(99,1),(102,1),(118,1),(121,1),(122,1)}
       110:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(100,1),(103,1),(119,1),(121,1),(122,1),(123,1),(135,1),(136,1),(139,1)}
       111:{1,3,5,7}:{(97,1),(98,1),(101,1),(120,1),(122,1),(123,1)}
       112:{1,2,5}:{(99,1),(104,1),(124,1),(139,1)}
       113:{3,5}:{(100,1),(105,1),(125,1)}
       114:{1,4}:{(101,1),(125,1)}
       115:{1,2,4,7}:{(102,1),(104,1),(121,1),(126,1),(136,1)}
       116:{3,7}:{(103,1),(105,1)}
       117:{2,3,6}:{(104,1),(105,1),(124,1),(126,1)}
       118:{1,3,6}:{(106,1),(109,1),(127,1),(128,1)}
       119:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(127,1),(128,1),(129,1),(137,1)}
       120:{1,3,5,6}:{(108,1),(111,1),(128,1),(129,1),(138,1)}
       121:{1,2,5,7}:{(109,1),(112,1),(115,1),(127,1),(130,1)}
       122:{3,5,7}:{(110,1),(113,1),(116,1),(128,1),(131,1),(138,1)}
       123:{1,4,7}:{(111,1),(114,1),(129,1),(131,1)}
       124:{2,3,5}:{(112,1),(113,1),(117,1),(132,1)}
       125:{3,4}:{(113,1),(114,1),(132,1)}
       126:{2,3,7}:{(115,1),(116,1),(117,1)}
       127:{1,2,6}:{(118,1),(121,1),(133,1)}
       128:{3,6}:{(119,1),(122,1)}
       129:{1,4,6}:{(120,1),(123,1),(134,1),(135,1)}
       130:{2,3,5,7}:{(121,1),(122,1),(124,1),(126,1),(133,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(125,1),(134,1),(136,1)}
       132:{2,4}:{(124,1),(125,1)}
       133:{2,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{3,4,6}:{(128,1),(129,1),(131,1),(137,1),(138,1)}
       135:{1,4,5}:{(129,1),(138,1)}
       136:{2,4,7}:{(130,1),(131,1),(132,1),(137,1)}
       137:{2,4,6}:{(133,1),(134,1),(136,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

 406 :   0:{1,4,5,6}:{(2,1),(3,1),(20,1),(78,1),(80,1)}
         1:{1,3,4,6}:{(5,1),(6,1),(7,1),(20,1),(35,1),(62,1),(75,1),(111,1),(127,1)}
         2:{3,5,6}:{(0,1),(8,1),(10,1),(11,1)}
         3:{1,4,5,7}:{(0,1),(11,1),(12,1),(40,1),(92,1),(94,1)}
         4:{3,4,5}:{(8,1),(13,1),(14,1),(50,1)}
         5:{1,3,5}:{(1,1),(13,1),(16,1),(50,1),(134,1),(150,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(19,1),(55,1),(57,1),(107,1)}
         7:{1,3,4,7}:{(1,1),(17,1),(19,1),(40,1),(90,1),(103,1),(135,1),(197,1)}
         8:{3,4,6}:{(2,1),(4,1),(20,1),(21,1),(22,1),(62,1)}
         9:{1,3,5,6}:{(2,1),(5,1),(20,1),(23,1),(24,1),(35,1),(62,1),(78,1),(128,1)}
        10:{2,5,6}:{(2,1),(21,1),(25,1)}
        11:{3,5,7}:{(2,1),(3,1),(22,1),(25,1),(26,1)}
        12:{1,4,6,7}:{(3,1),(26,1),(27,1),(71,1)}
        13:{1,4,5}:{(4,1),(5,1),(20,1),(170,1)}
        14:{2,4,5}:{(4,1),(21,1),(28,1)}
        15:{3,4,5,7}:{(4,1),(22,1),(30,1),(31,1),(32,1),(66,1),(76,1),(155,1),(160,1),(163,1),(170,1)}
        16:{1,2,5}:{(5,1),(6,1),(33,1),(130,1)}
        17:{1,3,5,7}:{(5,1),(7,1),(30,1),(34,1),(35,1),(76,1),(156,1),(186,1),(191,1)}
        18:{2,3,6}:{(6,1),(33,1),(36,1),(62,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(34,1),(36,1),(81,1),(205,1)}
        20:{1,4,6}:{(8,1),(9,1),(13,1),(40,1),(151,1)}
        21:{2,4,6}:{(8,1),(10,1),(14,1),(38,1),(41,1)}
        22:{3,4,7}:{(8,1),(11,1),(40,1),(41,1),(90,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(16,1),(39,1),(43,1),(44,1),(57,1),(134,1),(174,1)}
        24:{1,3,5,7}:{(9,1),(11,1),(40,1),(44,1),(45,1),(90,1),(92,1),(141,1)}
        25:{2,5,7}:{(10,1),(11,1),(41,1),(46,1)}
        26:{3,6,7}:{(11,1),(12,1),(46,1)}
        27:{1,5,6,7}:{(12,1),(47,1),(92,1),(145,1)}
        28:{2,3,5}:{(14,1),(37,1),(38,1),(48,1),(50,1)}
        29:{1,2,4,5}:{(13,1),(14,1),(16,1),(39,1),(48,1),(50,1),(55,1),(95,1),(99,1),(134,1)}
        30:{1,4,5,7}:{(13,1),(15,1),(17,1),(40,1),(52,1),(92,1),(173,1),(178,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(41,1),(49,1),(53,1),(93,1),(133,1),(138,1)}
        32:{3,4,6}:{(15,1),(52,1),(53,1),(54,1),(104,1),(151,1)}
        33:{2,3,5}:{(16,1),(18,1),(50,1),(55,1)}
        34:{1,2,5,7}:{(16,1),(17,1),(19,1),(56,1),(57,1),(199,1),(203,1)}
        35:{1,3,6}:{(17,1),(52,1),(57,1),(104,1),(174,1)}
        36:{2,3,7}:{(18,1),(19,1),(90,1),(208,1)}
        37:{2,3,4}:{(28,1),(58,1),(75,1)}
        38:{2,3,6}:{(21,1),(28,1),(60,1),(61,1),(62,1)}
        39:{1,2,4,6}:{(20,1),(21,1),(23,1),(29,1),(60,1),(62,1),(63,1),(67,1),(111,1)}
        40:{1,4,7}:{(20,1),(22,1),(24,1),(163,1)}
        41:{2,4,7}:{(21,1),(22,1),(25,1),(61,1)}
        42:{3,4,6,7}:{(22,1),(26,1),(32,1),(64,1),(65,1),(66,1),(71,1),(117,1),(122,1),(160,1),(163,1)}
        43:{2,3,5,6}:{(23,1),(33,1),(62,1),(67,1),(68,1),(82,1),(115,1),(128,1),(130,1),(161,1),(165,1)}
        44:{1,2,5,7}:{(23,1),(24,1),(25,1),(63,1),(68,1),(69,1),(156,1)}
        45:{1,3,6,7}:{(24,1),(26,1),(35,1),(64,1),(69,1),(117,1),(191,1)}
        46:{2,6,7}:{(25,1),(26,1)}
        47:{3,5,6,7}:{(26,1),(27,1),(66,1),(70,1),(71,1),(122,1)}
        48:{1,2,5}:{(28,1),(58,1),(60,1),(72,1)}
        49:{2,3,5,7}:{(28,1),(31,1),(59,1),(61,1),(73,1),(74,1),(76,1),(110,1),(207,1)}
        50:{3,5}:{(29,1),(62,1),(75,1)}
        51:{1,2,4,5,7}:{(29,1),(30,1),(31,1),(34,1),(63,1),(73,1),(76,1),(77,1),(81,1),(118,1),(120,1),(123,1),(130,1),(154,1),(156,1),(159,1),(163,1),(166,1),(170,1),(189,1),(207,1)}
        52:{1,4,6}:{(30,1),(32,1),(35,1),(78,1)}
        53:{2,4,6}:{(31,1),(32,1),(74,1),(79,1)}
        54:{3,5,6}:{(32,1),(66,1),(78,1),(79,1),(80,1)}
        55:{2,4}:{(33,1),(75,1)}
        56:{2,3,5,7}:{(33,1),(34,1),(36,1),(76,1),(81,1),(82,1),(130,1),(187,1),(192,1),(207,1)}
        57:{1,2,6}:{(34,1),(35,1),(82,1)}
        58:{1,2,4}:{(37,1),(48,1),(83,1),(99,1)}
        59:{2,3,4,7}:{(37,1),(49,1),(84,1),(85,1),(103,1),(138,1),(177,1),(202,1)}
        60:{1,2,6}:{(38,1),(48,1),(86,1),(87,1)}
        61:{2,3,7}:{(38,1),(41,1),(87,1),(90,1)}
        62:{3,6}:{(39,1),(50,1),(90,1)}
        63:{1,2,4,7}:{(39,1),(40,1),(41,1),(44,1),(87,1),(90,1),(96,1),(135,1)}
        64:{1,4,6,7}:{(40,1),(42,1),(45,1),(52,1),(92,1),(145,1),(178,1)}
        65:{2,4,6,7}:{(41,1),(42,1),(46,1),(53,1),(88,1),(93,1),(138,1)}
        66:{3,5,7}:{(42,1),(54,1),(92,1),(93,1),(94,1)}
        67:{2,4,6}:{(43,1),(55,1),(89,1),(95,1),(96,1),(151,1)}
        68:{2,3,5,7}:{(43,1),(44,1),(90,1),(96,1),(97,1),(139,1),(141,1),(144,1)}
        69:{1,2,6,7}:{(44,1),(45,1),(46,1),(57,1),(97,1),(174,1),(203,1)}
        70:{2,5,6,7}:{(46,1),(47,1),(93,1),(98,1)}
        71:{4,6,7}:{(47,1),(94,1)}
        72:{1,3,5}:{(48,1),(50,1),(83,1),(86,1),(99,1),(134,1)}
        73:{1,2,5,7}:{(48,1),(49,1),(84,1),(87,1),(100,1),(101,1),(132,1)}
        74:{2,3,6}:{(49,1),(53,1),(101,1),(104,1),(209,1)}
        75:{3,4}:{(50,1),(55,1),(99,1)}
        76:{3,5,7}:{(50,1),(51,1),(90,1),(103,1),(104,1),(150,1),(172,1),(177,1)}
        77:{1,2,4,6}:{(51,1),(52,1),(53,1),(57,1),(101,1),(104,1),(105,1),(107,1),(143,1),(146,1),(151,1),(174,1),(200,1),(209,1)}
        78:{1,5,6}:{(52,1),(54,1),(92,1)}
        79:{2,5,6}:{(53,1),(54,1),(93,1)}
        80:{4,5,6}:{(54,1),(94,1),(151,1)}
        81:{2,4,7}:{(55,1),(56,1),(103,1),(107,1),(198,1)}
        82:{2,3,6}:{(56,1),(57,1),(104,1),(107,1),(209,1)}
        83:{1,3}:{(58,1)}
        84:{1,2,4,7}:{(58,1),(59,1),(73,1),(108,1),(109,1),(123,1)}
        85:{2,3,4,6}:{(59,1),(74,1),(109,1),(110,1),(126,1),(127,1),(168,1),(185,1),(195,1)}
        86:{1,3,6}:{(60,1),(62,1),(72,1),(111,1),(112,1)}
        87:{1,2,7}:{(60,1),(61,1),(112,1)}
        88:{2,3,6,7}:{(61,1),(65,1),(74,1),(113,1),(114,1),(117,1),(122,1)}
        89:{3,4,6}:{(62,1),(67,1),(75,1),(111,1),(115,1),(116,1),(161,1)}
        90:{3,7}:{(62,1),(63,1)}
        91:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(69,1),(77,1),(113,1),(117,1),(118,1),(121,1),(157,1),(159,1),(163,1)}
        92:{1,5,7}:{(64,1),(66,1),(78,1)}
        93:{2,5,7}:{(65,1),(66,1),(79,1)}
        94:{4,5,7}:{(66,1),(71,1),(80,1),(163,1)}
        95:{2,4,5}:{(67,1),(115,1),(130,1),(170,1)}
        96:{2,4,7}:{(67,1),(68,1),(116,1),(163,1)}
        97:{2,3,6,7}:{(68,1),(69,1),(82,1),(117,1),(121,1),(161,1),(192,1)}
        98:{2,4,6,7}:{(70,1),(71,1),(119,1),(122,1)}
        99:{1,4}:{(72,1),(75,1)}
       100:{1,3,5,7}:{(72,1),(73,1),(76,1),(108,1),(112,1),(123,1),(124,1),(153,1),(156,1),(166,1)}
       101:{1,2,6}:{(73,1),(74,1),(124,1)}
       102:{2,3,5,6}:{(74,1),(79,1),(110,1),(114,1),(125,1),(126,1),(128,1),(129,1),(168,1)}
       103:{3,4,7}:{(75,1),(76,1),(81,1),(123,1),(127,1),(163,1),(185,1)}
       104:{3,6}:{(76,1),(77,1)}
       105:{1,2,5,6}:{(77,1),(78,1),(79,1),(118,1),(128,1),(130,1),(165,1),(166,1),(188,1)}
       106:{2,4,5,6}:{(79,1),(80,1),(119,1),(126,1),(129,1)}
       107:{2,4,6}:{(81,1),(82,1),(127,1),(130,1)}
       108:{1,3,7}:{(83,1),(84,1),(131,1),(177,1)}
       109:{1,2,4,6}:{(84,1),(85,1),(101,1),(131,1),(132,1),(146,1),(171,1)}
       110:{2,3,5}:{(85,1),(132,1),(133,1),(150,1),(172,1),(204,1)}
       111:{1,4,6}:{(86,1),(89,1),(99,1),(134,1),(135,1),(174,1)}
       112:{1,3,7}:{(86,1),(87,1),(90,1),(135,1)}
       113:{1,2,6,7}:{(87,1),(88,1),(101,1),(136,1),(137,1),(145,1),(209,1)}
       114:{2,3,5,7}:{(88,1),(93,1),(102,1),(137,1),(138,1),(141,1),(142,1),(177,1)}
       115:{3,5}:{(89,1),(95,1),(134,1)}
       116:{3,4,7}:{(89,1),(90,1),(96,1),(135,1),(139,1)}
       117:{3,6,7}:{(90,1),(91,1),(104,1),(141,1),(177,1)}
       118:{1,2,5,7}:{(91,1),(92,1),(93,1),(105,1),(141,1),(144,1),(175,1)}
       119:{2,4,5,7}:{(93,1),(94,1),(98,1),(106,1),(138,1),(142,1)}
       120:{2,4,5,7}:{(95,1),(96,1),(139,1),(143,1),(144,1),(180,1)}
       121:{2,4,6,7}:{(96,1),(97,1),(107,1),(140,1),(143,1),(144,1),(202,1),(209,1)}
       122:{3,6,7}:{(98,1),(142,1),(145,1)}
       123:{1,4,7}:{(99,1),(100,1),(103,1),(146,1),(171,1)}
       124:{1,3,6}:{(100,1),(101,1),(104,1),(146,1),(174,1)}
       125:{1,2,5,6}:{(101,1),(102,1),(132,1),(137,1),(147,1),(148,1),(152,1),(204,1),(209,1)}
       126:{2,4,6}:{(102,1),(133,1),(138,1),(149,1),(151,1)}
       127:{3,4,6}:{(103,1),(104,1),(107,1),(146,1),(150,1),(151,1)}
       128:{3,5,6}:{(104,1),(105,1),(141,1),(150,1),(151,1)}
       129:{3,5,6}:{(106,1),(142,1),(149,1),(152,1)}
       130:{2,5}:{(107,1),(150,1)}
       131:{1,3,6}:{(108,1),(109,1),(153,1),(168,1)}
       132:{1,2,5}:{(109,1),(110,1),(153,1),(166,1)}
       133:{2,4,5}:{(110,1),(126,1),(155,1),(170,1)}
       134:{1,5}:{(111,1),(115,1)}
       135:{1,4,7}:{(111,1),(112,1),(116,1),(156,1)}
       136:{1,3,6,7}:{(112,1),(113,1),(117,1),(124,1),(157,1),(158,1),(206,1)}
       137:{1,2,5,7}:{(113,1),(114,1),(125,1),(158,1),(159,1),(164,1),(207,1)}
       138:{2,4,7}:{(114,1),(126,1),(160,1),(163,1)}
       139:{3,5,7}:{(115,1),(116,1),(120,1),(156,1),(161,1)}
       140:{3,4,6,7}:{(116,1),(117,1),(121,1),(127,1),(157,1),(161,1),(162,1),(163,1),(190,1),(193,1),(206,1)}
       141:{3,5,7}:{(117,1),(118,1),(128,1),(163,1)}
       142:{3,5,7}:{(119,1),(122,1),(129,1),(160,1),(164,1)}
       143:{2,4,6}:{(120,1),(161,1),(165,1),(193,1)}
       144:{2,5,7}:{(121,1),(130,1),(162,1),(165,1)}
       145:{1,6,7}:{(122,1),(164,1)}
       146:{1,4,6}:{(123,1),(124,1),(127,1),(166,1)}
       147:{1,3,5,6}:{(124,1),(125,1),(128,1),(153,1),(158,1),(166,1),(167,1),(168,1),(188,1),(194,1),(206,1)}
       148:{1,2,4,6}:{(125,1),(126,1),(154,1),(159,1),(167,1),(168,1),(169,1),(195,1),(196,1)}
       149:{3,4,6}:{(126,1),(129,1),(155,1),(160,1),(168,1),(169,1)}
       150:{3,5}:{(127,1),(130,1),(166,1),(170,1)}
       151:{4,6}:{(128,1),(163,1),(170,1)}
       152:{1,5,6}:{(129,1),(164,1),(169,1)}
       153:{1,3,5}:{(131,1),(132,1),(171,1),(172,1)}
       154:{1,2,4,5}:{(132,1),(133,1),(148,1),(171,1),(172,1),(173,1),(181,1),(198,1),(199,1),(204,1)}
       155:{3,4,5}:{(133,1),(149,1),(172,1),(173,1)}
       156:{1,5,7}:{(134,1),(135,1),(139,1),(174,1)}
       157:{1,4,6,7}:{(135,1),(136,1),(140,1),(146,1),(174,1),(175,1),(176,1),(200,1)}
       158:{1,3,5,7}:{(136,1),(137,1),(141,1),(147,1),(175,1),(176,1),(177,1),(201,1)}
       159:{1,2,4,7}:{(137,1),(138,1),(148,1),(176,1),(177,1),(178,1),(202,1),(203,1)}
       160:{3,4,7}:{(138,1),(142,1),(149,1),(177,1),(178,1)}
       161:{3,6}:{(139,1),(143,1),(174,1)}
       162:{3,5,7}:{(140,1),(144,1),(150,1),(175,1),(179,1),(180,1)}
       163:{4,7}:{(141,1),(151,1)}
       164:{1,5,7}:{(142,1),(145,1),(152,1),(178,1)}
       165:{2,5,6}:{(143,1),(144,1),(179,1),(209,1)}
       166:{1,5}:{(146,1),(150,1)}
       167:{1,4,6}:{(147,1),(151,1),(171,1),(176,1),(181,1),(182,1)}
       168:{3,6}:{(148,1),(172,1),(177,1)}
       169:{1,4,6}:{(149,1),(152,1),(173,1),(178,1),(183,1)}
       170:{4,5}:{(150,1),(151,1)}
       171:{1,4}:{(153,1),(185,1)}
       172:{3,5}:{(154,1),(168,1),(185,1)}
       173:{1,4,5}:{(155,1),(169,1),(186,1)}
       174:{1,6}:{(156,1),(161,1)}
       175:{1,5,7}:{(157,1),(162,1),(166,1),(188,1)}
       176:{1,4,7}:{(158,1),(163,1),(167,1),(190,1)}
       177:{3,7}:{(159,1),(168,1)}
       178:{1,4,7}:{(160,1),(164,1),(169,1),(191,1)}
       179:{3,5,6}:{(161,1),(162,1),(165,1),(188,1),(193,1),(206,1)}
       180:{4,5,7}:{(162,1),(163,1),(170,1),(193,1)}
       181:{1,4,5}:{(166,1),(167,1),(170,1),(194,1)}
       182:{3,4,6}:{(167,1),(168,1),(185,1),(190,1),(194,1),(195,1),(206,1)}
       183:{1,3,6}:{(168,1),(169,1),(186,1),(191,1),(196,1)}
       184:{2,3,6}:{(168,1),(187,1),(192,1),(195,1),(196,1)}
       185:{3,4}:{(171,1),(172,1),(198,1)}
       186:{1,3,5}:{(172,1),(173,1),(183,1),(197,1),(199,1)}
       187:{2,3,5}:{(172,1),(184,1),(198,1),(199,1),(204,1),(208,1)}
       188:{1,5,6}:{(174,1),(175,1),(179,1),(200,1)}
       189:{1,4,5,7}:{(175,1),(176,1),(180,1),(181,1),(200,1),(201,1)}
       190:{3,4,7}:{(176,1),(177,1),(182,1),(201,1),(202,1)}
       191:{1,3,7}:{(177,1),(178,1),(183,1),(203,1)}
       192:{2,3,7}:{(177,1),(184,1),(202,1),(203,1)}
       193:{4,6}:{(179,1),(180,1)}
       194:{3,5}:{(181,1),(182,1),(204,1)}
       195:{2,4,6}:{(182,1),(184,1),(198,1),(202,1),(204,1),(209,1)}
       196:{1,2,6}:{(183,1),(184,1),(199,1),(203,1)}
       197:{1,3,4}:{(185,1),(186,1),(205,1)}
       198:{2,4}:{(185,1),(187,1)}
       199:{1,2,5}:{(186,1),(187,1),(196,1),(205,1)}
       200:{1,4,6}:{(188,1),(189,1),(193,1),(206,1)}
       201:{3,5,7}:{(189,1),(190,1),(194,1),(206,1),(207,1)}
       202:{2,4,7}:{(190,1),(192,1),(195,1),(207,1)}
       203:{1,2,7}:{(191,1),(192,1),(196,1)}
       204:{2,5}:{(194,1),(195,1)}
       205:{1,2,4}:{(197,1),(198,1),(199,1),(208,1)}
       206:{3,6}:{(200,1),(201,1),(209,1)}
       207:{2,5,7}:{(201,1),(202,1),(204,1),(209,1)}
       208:{2,3}:{(205,1)}
       209:{2,6}:{(206,1),(207,1)}

 407 :   0:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(31,1),(35,1),(99,1)}
         1:{1,2,5,6,7}:{(0,1),(3,1),(4,1),(23,1),(43,1),(51,1),(54,1),(80,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(49,1),(52,1),(117,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(9,1),(26,1),(32,1),(60,1),(74,1)}
         4:{1,2,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(13,1),(27,1),(33,1),(71,1),(73,1),(98,1)}
         5:{1,4,5,7}:{(2,1),(10,1),(11,1),(129,1)}
         6:{3,4,6,7}:{(2,1),(9,1),(11,1),(13,1),(30,1),(34,1),(128,1)}
         7:{2,4,6,7}:{(3,1),(14,1),(15,1),(50,1),(79,1),(94,1)}
         8:{1,2,4,5,7}:{(4,1),(5,1),(14,1),(16,1),(17,1),(23,1),(43,1),(49,1),(50,1),(51,1)}
         9:{3,6,7}:{(4,1),(17,1),(91,1),(93,1),(116,1)}
        10:{1,4,5,6}:{(5,1),(20,1),(52,1)}
        11:{3,5,7}:{(5,1),(6,1),(20,1),(23,1),(136,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(22,1),(24,1),(49,1),(52,1),(86,1),(91,1),(93,1),(96,1),(125,1)}
        13:{2,4,6,7}:{(6,1),(19,1),(23,1),(50,1),(53,1),(135,1)}
        14:{2,4,5,7}:{(7,1),(25,1),(26,1),(113,1)}
        15:{3,4,6,7}:{(7,1),(9,1),(26,1),(27,1),(30,1),(58,1),(112,1)}
        16:{1,2,4,5,6}:{(8,1),(10,1),(25,1),(29,1),(36,1),(59,1),(66,1),(67,1),(68,1),(73,1),(98,1),(105,1),(113,1),(129,1),(134,1),(139,1)}
        17:{3,5,7}:{(8,1),(9,1),(29,1),(30,1)}
        18:{1,3,6,7}:{(9,1),(27,1),(31,1),(33,1),(97,1),(111,1)}
        19:{2,3,6,7}:{(9,1),(13,1),(32,1),(33,1),(72,1),(127,1)}
        20:{3,5,6}:{(10,1),(11,1),(34,1),(36,1)}
        21:{3,4,5,7}:{(11,1),(30,1),(34,1),(37,1),(38,1),(65,1),(76,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(35,1),(37,1),(39,1),(76,1),(103,1),(134,1)}
        23:{2,5,7}:{(11,1),(13,1),(36,1),(139,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(33,1),(39,1),(40,1),(71,1),(73,1),(77,1),(106,1)}
        25:{2,4,5,6}:{(14,1),(41,1),(79,1)}
        26:{3,5,7}:{(14,1),(15,1),(41,1),(43,1),(126,1)}
        27:{1,4,6,7}:{(15,1),(18,1),(43,1),(49,1),(78,1),(125,1)}
        28:{2,3,4,6,7}:{(15,1),(19,1),(44,1),(45,1),(50,1),(79,1),(87,1),(91,1),(116,1),(119,1),(135,1)}
        29:{3,5,6}:{(16,1),(17,1),(46,1),(93,1),(116,1),(122,1),(126,1),(136,1)}
        30:{3,4,7}:{(17,1),(46,1),(49,1),(50,1),(91,1)}
        31:{1,3,5,7}:{(17,1),(18,1),(43,1),(47,1),(49,1),(51,1),(91,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(23,1),(48,1),(50,1),(51,1),(91,1)}
        33:{1,2,6,7}:{(18,1),(19,1),(51,1),(92,1),(115,1)}
        34:{3,4,6}:{(20,1),(21,1),(52,1),(53,1),(93,1)}
        35:{1,3,5,6}:{(20,1),(22,1),(52,1),(54,1),(93,1)}
        36:{2,5,6}:{(20,1),(23,1),(53,1)}
        37:{1,4,5,7}:{(21,1),(22,1),(49,1),(52,1),(84,1)}
        38:{2,4,5,7}:{(21,1),(23,1),(50,1),(53,1),(55,1),(85,1)}
        39:{1,2,5,7}:{(22,1),(23,1),(24,1),(54,1),(57,1),(120,1)}
        40:{2,3,6,7}:{(24,1),(57,1),(91,1),(93,1),(123,1)}
        41:{3,5,6}:{(25,1),(26,1),(58,1),(59,1)}
        42:{3,4,5,7}:{(26,1),(30,1),(58,1),(61,1),(62,1),(65,1),(101,1)}
        43:{1,5,7}:{(26,1),(27,1),(59,1),(134,1)}
        44:{2,3,5,7}:{(26,1),(28,1),(60,1),(62,1),(63,1),(101,1),(104,1),(139,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(33,1),(63,1),(64,1),(71,1),(98,1),(102,1),(107,1)}
        46:{3,4,6}:{(29,1),(30,1),(65,1),(66,1),(67,1),(108,1),(133,1)}
        47:{1,3,5,6}:{(29,1),(31,1),(59,1),(66,1),(68,1),(97,1),(103,1),(108,1),(111,1),(132,1),(134,1)}
        48:{2,3,5,6}:{(29,1),(32,1),(36,1),(67,1),(68,1),(72,1),(104,1),(108,1),(127,1),(131,1),(139,1)}
        49:{1,4,7}:{(30,1),(31,1),(66,1)}
        50:{2,4,7}:{(30,1),(32,1),(67,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(68,1),(71,1)}
        52:{1,4,6}:{(34,1),(35,1),(37,1)}
        53:{2,4,6}:{(34,1),(36,1),(38,1),(72,1)}
        54:{1,2,5,6}:{(35,1),(36,1),(39,1),(73,1),(74,1),(134,1)}
        55:{2,3,5,7}:{(38,1),(70,1),(72,1),(75,1),(76,1),(104,1)}
        56:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(71,1),(73,1),(75,1),(76,1),(77,1),(105,1),(113,1),(114,1),(134,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(74,1),(76,1),(77,1),(131,1)}
        58:{3,4,6}:{(41,1),(42,1),(78,1),(79,1),(116,1)}
        59:{1,5,6}:{(41,1),(43,1),(78,1)}
        60:{2,3,5,6}:{(41,1),(44,1),(79,1),(80,1),(116,1)}
        61:{1,4,5,7}:{(42,1),(43,1),(49,1),(78,1),(81,1),(84,1)}
        62:{2,4,5,7}:{(42,1),(44,1),(50,1),(79,1),(85,1)}
        63:{1,2,5,7}:{(43,1),(44,1),(45,1),(80,1),(83,1),(121,1)}
        64:{1,3,6,7}:{(45,1),(83,1),(91,1),(116,1),(124,1)}
        65:{3,4,5}:{(46,1),(84,1),(85,1),(122,1),(126,1),(136,1)}
        66:{1,4,6}:{(46,1),(47,1),(49,1),(84,1),(138,1)}
        67:{2,4,6}:{(46,1),(48,1),(50,1),(85,1),(137,1)}
        68:{1,2,5,6}:{(47,1),(48,1),(51,1),(88,1),(92,1),(115,1),(120,1),(121,1)}
        69:{1,3,4,7}:{(49,1),(81,1),(86,1),(89,1),(91,1),(119,1)}
        70:{2,3,4,7}:{(50,1),(55,1),(87,1),(90,1),(91,1),(96,1)}
        71:{1,2,4,7}:{(49,1),(50,1),(51,1),(88,1),(91,1)}
        72:{2,3,6}:{(53,1),(55,1),(92,1),(93,1)}
        73:{1,2,4,6}:{(52,1),(53,1),(54,1),(56,1),(92,1),(93,1),(94,1),(125,1)}
        74:{2,3,5,6}:{(54,1),(57,1),(93,1),(94,1),(126,1)}
        75:{1,2,5,7}:{(55,1),(90,1),(92,1),(95,1),(121,1)}
        76:{3,5,7}:{(56,1),(91,1),(93,1),(96,1),(122,1),(126,1)}
        77:{2,4,7}:{(57,1),(94,1),(96,1),(137,1)}
        78:{1,4,6}:{(58,1),(59,1),(61,1),(97,1)}
        79:{2,4,6}:{(58,1),(60,1),(62,1)}
        80:{1,2,5,6}:{(59,1),(60,1),(63,1),(98,1),(99,1),(139,1)}
        81:{1,3,5,7}:{(61,1),(69,1),(97,1),(100,1),(101,1),(103,1)}
        82:{1,2,4,5,7}:{(61,1),(62,1),(63,1),(71,1),(98,1),(100,1),(101,1),(102,1),(105,1),(129,1),(130,1),(139,1)}
        83:{1,3,5,7}:{(63,1),(64,1),(99,1),(101,1),(102,1),(132,1)}
        84:{1,4,5}:{(65,1),(66,1),(103,1),(134,1)}
        85:{2,4,5}:{(65,1),(67,1),(104,1),(139,1)}
        86:{1,3,4,6}:{(66,1),(69,1),(97,1),(103,1),(106,1),(108,1),(128,1),(133,1)}
        87:{2,3,4,6}:{(67,1),(70,1),(72,1),(104,1),(107,1),(108,1),(112,1),(133,1)}
        88:{1,2,4,6}:{(66,1),(67,1),(68,1),(71,1),(105,1),(108,1)}
        89:{1,2,4,7}:{(69,1),(100,1),(106,1),(109,1),(130,1)}
        90:{1,2,4,7}:{(70,1),(75,1),(107,1),(110,1),(114,1)}
        91:{3,7}:{(71,1),(108,1)}
        92:{1,2,6}:{(72,1),(75,1),(111,1)}
        93:{3,6}:{(73,1),(76,1)}
        94:{2,4,6}:{(74,1),(77,1),(112,1),(113,1)}
        95:{1,3,5,7}:{(75,1),(76,1),(110,1),(111,1),(114,1),(132,1),(134,1)}
        96:{3,4,7}:{(76,1),(77,1),(112,1),(114,1),(133,1)}
        97:{1,3,6}:{(78,1),(81,1),(115,1),(116,1)}
        98:{1,2,4,6}:{(78,1),(79,1),(80,1),(82,1),(115,1),(116,1),(117,1),(135,1)}
        99:{1,3,5,6}:{(80,1),(83,1),(116,1),(117,1),(136,1)}
       100:{1,2,5,7}:{(81,1),(89,1),(115,1),(118,1),(120,1)}
       101:{3,5,7}:{(82,1),(91,1),(116,1),(119,1),(122,1),(136,1)}
       102:{1,4,7}:{(83,1),(117,1),(119,1),(138,1)}
       103:{1,3,5}:{(84,1),(86,1),(120,1),(122,1),(136,1)}
       104:{2,3,5}:{(85,1),(87,1),(121,1),(122,1),(126,1)}
       105:{1,2,4,5}:{(84,1),(85,1),(88,1),(120,1),(121,1),(122,1),(137,1),(138,1)}
       106:{1,2,4,6}:{(86,1),(89,1),(115,1),(120,1),(123,1),(135,1),(137,1)}
       107:{1,2,4,6}:{(87,1),(90,1),(92,1),(121,1),(124,1),(125,1),(138,1)}
       108:{3,6}:{(88,1),(91,1),(122,1)}
       109:{2,3,7}:{(89,1),(91,1),(123,1)}
       110:{1,3,7}:{(90,1),(91,1),(124,1)}
       111:{1,3,6}:{(92,1),(93,1),(95,1),(125,1)}
       112:{3,4,6}:{(93,1),(94,1),(96,1),(125,1),(126,1)}
       113:{2,4,5}:{(94,1),(126,1)}
       114:{1,4,7}:{(95,1),(96,1),(125,1),(138,1)}
       115:{1,2,6}:{(97,1),(100,1),(127,1)}
       116:{3,6}:{(98,1),(101,1)}
       117:{1,4,6}:{(99,1),(102,1),(128,1),(129,1)}
       118:{2,3,5,7}:{(100,1),(101,1),(109,1),(127,1),(130,1),(131,1),(139,1)}
       119:{3,4,7}:{(101,1),(102,1),(128,1),(130,1),(133,1)}
       120:{1,2,5}:{(103,1),(106,1),(131,1),(139,1)}
       121:{1,2,5}:{(104,1),(107,1),(132,1),(134,1)}
       122:{3,5}:{(105,1),(108,1),(133,1)}
       123:{2,3,6}:{(106,1),(108,1),(109,1),(131,1)}
       124:{1,3,6}:{(107,1),(108,1),(110,1),(132,1)}
       125:{1,4,6}:{(111,1),(112,1),(114,1),(134,1)}
       126:{3,5}:{(112,1),(113,1),(134,1)}
       127:{2,3,6}:{(115,1),(116,1),(118,1),(135,1)}
       128:{3,4,6}:{(116,1),(117,1),(119,1),(135,1),(136,1)}
       129:{1,4,5}:{(117,1),(136,1)}
       130:{2,4,7}:{(118,1),(119,1),(135,1),(137,1)}
       131:{2,3,5}:{(120,1),(122,1),(123,1),(137,1)}
       132:{1,3,5}:{(121,1),(122,1),(124,1),(138,1)}
       133:{3,4}:{(122,1),(137,1),(138,1)}
       134:{1,5}:{(125,1),(126,1)}
       135:{2,4,6}:{(127,1),(128,1),(130,1),(139,1)}
       136:{3,5}:{(128,1),(129,1),(139,1)}
       137:{2,4}:{(131,1),(133,1)}
       138:{1,4}:{(132,1),(133,1)}
       139:{2,5}:{(135,1),(136,1)}

 408 :   0:{1,3,4,7}:{(2,1),(3,1),(4,1),(57,1),(64,1),(125,1),(178,1),(196,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(7,1),(31,1),(32,1),(45,1),(95,1),(136,1),(140,1),(148,1),(151,1)}
         2:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(12,1),(32,1),(183,1),(188,1),(195,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(39,1),(205,1)}
         4:{1,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(42,1),(88,1),(98,1),(100,1),(158,1)}
         5:{1,4,5,7}:{(1,1),(2,1),(16,1),(25,1),(54,1),(64,1),(163,1),(167,1)}
         6:{2,4,5,7}:{(1,1),(13,1),(17,1),(55,1),(71,1),(105,1),(108,1),(126,1)}
         7:{3,4,6}:{(1,1),(16,1),(17,1),(18,1),(58,1),(120,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(20,1),(21,1),(24,1),(198,1),(202,1)}
         9:{1,3,6}:{(2,1),(16,1),(21,1),(58,1),(204,1)}
        10:{2,3,7}:{(3,1),(23,1),(125,1),(208,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(21,1),(23,1),(24,1),(65,1),(69,1)}
        12:{1,3,5}:{(4,1),(24,1),(25,1),(70,1),(119,1),(180,1)}
        13:{2,3,5,7}:{(6,1),(26,1),(27,1),(28,1),(32,1),(74,1),(102,1),(156,1),(207,1)}
        14:{3,4,6,7}:{(7,1),(29,1),(30,1),(31,1),(83,1),(84,1),(95,1),(140,1),(145,1),(146,1),(148,1)}
        15:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(27,1),(32,1),(33,1),(39,1),(44,1),(77,1),(85,1),(94,1),(96,1),(135,1),(139,1),(141,1),(148,1),(151,1),(153,1),(186,1),(195,1),(207,1)}
        16:{1,4,6}:{(5,1),(7,1),(9,1),(34,1)}
        17:{2,4,6}:{(6,1),(7,1),(28,1),(35,1)}
        18:{3,5,6}:{(7,1),(31,1),(34,1),(35,1),(36,1)}
        19:{1,3,6,7}:{(9,1),(29,1),(37,1),(38,1),(84,1),(145,1),(188,1)}
        20:{2,3,5,7}:{(8,1),(10,1),(32,1),(39,1),(40,1),(43,1),(96,1),(184,1),(189,1),(207,1)}
        21:{1,2,6}:{(8,1),(9,1),(40,1)}
        22:{1,3,5,6}:{(9,1),(12,1),(34,1),(38,1),(41,1),(42,1),(89,1),(90,1),(98,1)}
        23:{2,3,6}:{(10,1),(11,1),(43,1),(98,1)}
        24:{1,2,5}:{(11,1),(12,1),(43,1),(96,1)}
        25:{1,4,5}:{(12,1),(42,1),(45,1),(151,1)}
        26:{2,3,4,7}:{(13,1),(46,1),(47,1),(57,1),(108,1),(132,1),(166,1),(201,1)}
        27:{1,2,5,7}:{(13,1),(46,1),(49,1),(50,1),(104,1),(133,1),(179,1)}
        28:{2,3,6}:{(13,1),(17,1),(50,1),(58,1),(209,1)}
        29:{1,4,6,7}:{(14,1),(16,1),(19,1),(54,1),(64,1),(167,1),(173,1)}
        30:{2,4,6,7}:{(14,1),(17,1),(48,1),(55,1),(108,1),(126,1),(172,1)}
        31:{3,5,7}:{(14,1),(18,1),(54,1),(55,1),(56,1)}
        32:{3,5,7}:{(15,1),(57,1),(58,1),(70,1),(119,1),(125,1),(162,1),(166,1)}
        33:{1,2,4,6}:{(15,1),(16,1),(17,1),(21,1),(50,1),(58,1),(59,1),(65,1),(109,1),(120,1),(176,1),(199,1),(204,1),(209,1)}
        34:{1,5,6}:{(16,1),(18,1),(54,1)}
        35:{2,5,6}:{(17,1),(18,1),(55,1)}
        36:{4,5,6}:{(18,1),(56,1),(120,1)}
        37:{1,2,6,7}:{(19,1),(21,1),(62,1),(63,1),(172,1),(202,1),(204,1)}
        38:{1,3,5,7}:{(19,1),(22,1),(54,1),(63,1),(64,1),(116,1),(117,1),(125,1)}
        39:{2,4,7}:{(20,1),(57,1),(65,1),(69,1),(197,1)}
        40:{2,3,6}:{(20,1),(21,1),(58,1),(65,1),(209,1)}
        41:{1,2,5,6}:{(21,1),(22,1),(24,1),(63,1),(66,1),(67,1),(121,1),(180,1),(204,1)}
        42:{1,4,6}:{(22,1),(25,1),(64,1),(68,1),(120,1)}
        43:{2,3,5}:{(23,1),(24,1),(69,1),(70,1)}
        44:{1,2,4,5}:{(24,1),(25,1),(67,1),(69,1),(70,1),(71,1),(127,1),(131,1),(133,1),(180,1)}
        45:{3,4,5}:{(25,1),(68,1),(70,1),(71,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(72,1),(73,1),(77,1),(160,1)}
        47:{2,3,4,6}:{(26,1),(28,1),(73,1),(74,1),(80,1),(88,1),(143,1),(182,1),(191,1)}
        48:{2,3,6,7}:{(28,1),(30,1),(75,1),(76,1),(84,1),(146,1),(156,1)}
        49:{1,3,5,7}:{(27,1),(32,1),(72,1),(77,1),(78,1),(101,1),(134,1),(141,1),(155,1),(195,1)}
        50:{1,2,6}:{(27,1),(28,1),(78,1)}
        51:{2,3,5,6}:{(28,1),(35,1),(74,1),(76,1),(79,1),(80,1),(89,1),(91,1),(143,1)}
        52:{3,5,6,7}:{(31,1),(81,1),(82,1),(83,1),(145,1),(146,1)}
        53:{1,2,4,6,7}:{(29,1),(30,1),(33,1),(37,1),(75,1),(84,1),(85,1),(92,1),(94,1),(137,1),(139,1),(148,1)}
        54:{1,5,7}:{(29,1),(31,1),(34,1)}
        55:{2,5,7}:{(30,1),(31,1),(35,1)}
        56:{4,5,7}:{(31,1),(36,1),(83,1),(148,1)}
        57:{3,4,7}:{(32,1),(39,1),(77,1),(88,1),(100,1),(148,1),(182,1)}
        58:{3,6}:{(32,1),(33,1)}
        59:{1,2,5,6}:{(33,1),(34,1),(35,1),(85,1),(89,1),(96,1),(141,1),(152,1),(185,1)}
        60:{1,4,5,6}:{(34,1),(36,1),(42,1),(86,1),(90,1)}
        61:{2,4,5,6}:{(35,1),(36,1),(80,1),(87,1),(91,1)}
        62:{2,3,6,7}:{(37,1),(40,1),(84,1),(92,1),(93,1),(189,1),(194,1)}
        63:{1,2,5,7}:{(37,1),(38,1),(41,1),(93,1),(94,1),(149,1),(195,1)}
        64:{1,4,7}:{(38,1),(42,1),(95,1),(148,1)}
        65:{2,4,6}:{(39,1),(40,1),(88,1),(96,1)}
        66:{2,3,5,6}:{(40,1),(41,1),(43,1),(89,1),(93,1),(96,1),(97,1),(98,1),(152,1),(157,1),(194,1)}
        67:{1,2,4,6}:{(41,1),(42,1),(44,1),(94,1),(97,1),(98,1),(99,1),(158,1),(159,1)}
        68:{3,4,6}:{(42,1),(45,1),(90,1),(95,1),(98,1),(99,1)}
        69:{2,4}:{(43,1),(100,1)}
        70:{3,5}:{(44,1),(98,1),(100,1)}
        71:{2,4,5}:{(45,1),(99,1),(102,1)}
        72:{1,3,7}:{(46,1),(103,1),(166,1),(181,1)}
        73:{1,2,4,6}:{(46,1),(47,1),(50,1),(103,1),(104,1),(109,1),(161,1)}
        74:{2,3,5}:{(47,1),(104,1),(105,1),(119,1),(162,1),(203,1)}
        75:{1,2,6,7}:{(48,1),(50,1),(106,1),(107,1),(173,1),(179,1),(209,1)}
        76:{2,3,5,7}:{(48,1),(51,1),(55,1),(107,1),(108,1),(116,1),(118,1),(166,1)}
        77:{1,4,7}:{(49,1),(57,1),(109,1),(131,1),(161,1)}
        78:{1,3,6}:{(49,1),(50,1),(58,1),(109,1),(204,1)}
        79:{1,2,5,6}:{(50,1),(51,1),(104,1),(107,1),(110,1),(111,1),(122,1),(203,1),(209,1)}
        80:{2,4,6}:{(51,1),(105,1),(108,1),(112,1),(120,1)}
        81:{1,5,6,7}:{(52,1),(54,1),(113,1),(173,1)}
        82:{2,5,6,7}:{(52,1),(55,1),(114,1),(172,1)}
        83:{4,6,7}:{(52,1),(56,1)}
        84:{3,6,7}:{(53,1),(58,1),(116,1),(125,1),(166,1)}
        85:{1,2,5,7}:{(53,1),(54,1),(55,1),(59,1),(116,1),(123,1),(164,1)}
        86:{1,4,5,7}:{(54,1),(56,1),(60,1),(64,1),(113,1),(117,1)}
        87:{2,4,5,7}:{(55,1),(56,1),(61,1),(108,1),(114,1),(118,1)}
        88:{3,4,6}:{(57,1),(58,1),(65,1),(109,1),(119,1),(120,1)}
        89:{3,5,6}:{(58,1),(59,1),(116,1),(119,1),(120,1)}
        90:{3,5,6}:{(60,1),(68,1),(117,1),(121,1)}
        91:{3,5,6}:{(61,1),(112,1),(118,1),(122,1)}
        92:{2,4,6,7}:{(62,1),(65,1),(115,1),(123,1),(124,1),(176,1),(201,1),(209,1)}
        93:{2,3,5,7}:{(62,1),(63,1),(66,1),(116,1),(123,1),(124,1),(125,1),(177,1)}
        94:{1,2,4,7}:{(63,1),(64,1),(67,1),(124,1),(125,1),(126,1),(178,1),(179,1)}
        95:{3,4,7}:{(64,1),(68,1),(117,1),(125,1),(126,1)}
        96:{2,5}:{(65,1),(119,1)}
        97:{2,4,6}:{(66,1),(69,1),(120,1),(124,1),(127,1),(128,1)}
        98:{3,6}:{(67,1),(70,1),(125,1)}
        99:{2,4,6}:{(68,1),(71,1),(121,1),(126,1),(130,1)}
       100:{3,4}:{(69,1),(70,1),(131,1)}
       101:{1,3,5}:{(70,1),(129,1),(131,1),(133,1),(180,1),(181,1)}
       102:{2,3,5}:{(70,1),(71,1),(130,1),(132,1),(133,1)}
       103:{1,3,6}:{(72,1),(73,1),(134,1),(143,1)}
       104:{1,2,5}:{(73,1),(74,1),(134,1),(141,1)}
       105:{2,4,5}:{(74,1),(80,1),(136,1),(151,1)}
       106:{1,3,6,7}:{(75,1),(78,1),(84,1),(137,1),(138,1),(155,1),(206,1)}
       107:{1,2,5,7}:{(75,1),(76,1),(79,1),(138,1),(139,1),(150,1),(207,1)}
       108:{2,4,7}:{(76,1),(80,1),(140,1),(148,1)}
       109:{1,4,6}:{(77,1),(78,1),(88,1),(141,1)}
       110:{1,3,5,6}:{(78,1),(79,1),(89,1),(134,1),(138,1),(141,1),(142,1),(143,1),(185,1),(190,1),(206,1)}
       111:{1,2,4,6}:{(79,1),(80,1),(135,1),(139,1),(142,1),(143,1),(144,1),(191,1),(192,1)}
       112:{3,4,6}:{(80,1),(91,1),(136,1),(140,1),(143,1),(144,1)}
       113:{1,4,6,7}:{(81,1),(83,1),(86,1),(145,1)}
       114:{2,4,6,7}:{(82,1),(83,1),(87,1),(146,1)}
       115:{3,4,6,7}:{(84,1),(88,1),(92,1),(137,1),(147,1),(148,1),(154,1),(187,1),(193,1),(194,1),(206,1)}
       116:{3,5,7}:{(84,1),(85,1),(89,1),(148,1)}
       117:{3,5,7}:{(86,1),(90,1),(95,1),(145,1),(149,1)}
       118:{3,5,7}:{(87,1),(91,1),(140,1),(146,1),(150,1)}
       119:{3,5}:{(88,1),(96,1),(141,1),(151,1)}
       120:{4,6}:{(89,1),(148,1),(151,1)}
       121:{2,5,6}:{(90,1),(99,1),(149,1)}
       122:{1,5,6}:{(91,1),(144,1),(150,1)}
       123:{2,5,7}:{(92,1),(96,1),(147,1),(152,1)}
       124:{2,4,7}:{(93,1),(97,1),(148,1),(154,1)}
       125:{3,7}:{(94,1),(98,1)}
       126:{2,4,7}:{(95,1),(99,1),(149,1),(156,1)}
       127:{2,4,5}:{(96,1),(97,1),(151,1),(157,1)}
       128:{3,4,6}:{(97,1),(98,1),(100,1),(154,1),(157,1),(158,1),(194,1)}
       129:{1,3,6}:{(98,1),(101,1),(155,1),(158,1),(159,1)}
       130:{2,3,6}:{(98,1),(99,1),(102,1),(156,1),(159,1)}
       131:{1,4}:{(100,1),(101,1)}
       132:{2,3,4}:{(100,1),(102,1),(160,1)}
       133:{1,2,5}:{(101,1),(102,1),(159,1),(160,1)}
       134:{1,3,5}:{(103,1),(104,1),(161,1),(162,1)}
       135:{1,2,4,5}:{(104,1),(105,1),(111,1),(161,1),(162,1),(163,1),(168,1),(197,1),(198,1),(203,1)}
       136:{3,4,5}:{(105,1),(112,1),(162,1),(163,1)}
       137:{1,4,6,7}:{(106,1),(109,1),(115,1),(164,1),(165,1),(178,1),(199,1),(204,1)}
       138:{1,3,5,7}:{(106,1),(107,1),(110,1),(116,1),(164,1),(165,1),(166,1),(200,1)}
       139:{1,2,4,7}:{(107,1),(108,1),(111,1),(165,1),(166,1),(167,1),(201,1),(202,1)}
       140:{3,4,7}:{(108,1),(112,1),(118,1),(166,1),(167,1)}
       141:{1,5}:{(109,1),(119,1)}
       142:{1,4,6}:{(110,1),(120,1),(161,1),(165,1),(168,1),(169,1)}
       143:{3,6}:{(111,1),(162,1),(166,1)}
       144:{1,4,6}:{(112,1),(122,1),(163,1),(167,1),(170,1)}
       145:{3,6,7}:{(113,1),(117,1),(172,1)}
       146:{3,6,7}:{(114,1),(118,1),(173,1)}
       147:{3,5,7}:{(115,1),(119,1),(123,1),(164,1),(174,1),(175,1)}
       148:{4,7}:{(116,1),(120,1)}
       149:{2,5,7}:{(117,1),(121,1),(126,1),(172,1)}
       150:{1,5,7}:{(118,1),(122,1),(167,1),(173,1)}
       151:{4,5}:{(119,1),(120,1)}
       152:{2,5,6}:{(123,1),(174,1),(176,1),(209,1)}
       153:{2,4,5,7}:{(123,1),(124,1),(127,1),(175,1),(176,1),(177,1)}
       154:{3,4,7}:{(124,1),(125,1),(128,1),(177,1),(178,1)}
       155:{1,3,7}:{(125,1),(129,1),(178,1),(179,1)}
       156:{2,3,7}:{(125,1),(126,1),(130,1),(179,1)}
       157:{3,5}:{(127,1),(128,1),(180,1)}
       158:{1,4,6}:{(128,1),(129,1),(131,1),(178,1),(180,1),(204,1)}
       159:{1,2,6}:{(129,1),(130,1),(133,1),(179,1)}
       160:{1,2,4}:{(131,1),(132,1),(133,1),(181,1)}
       161:{1,4}:{(134,1),(182,1)}
       162:{3,5}:{(135,1),(143,1),(182,1)}
       163:{1,4,5}:{(136,1),(144,1),(183,1)}
       164:{1,5,7}:{(137,1),(141,1),(147,1),(185,1)}
       165:{1,4,7}:{(138,1),(142,1),(148,1),(187,1)}
       166:{3,7}:{(139,1),(143,1)}
       167:{1,4,7}:{(140,1),(144,1),(150,1),(188,1)}
       168:{1,4,5}:{(141,1),(142,1),(151,1),(190,1)}
       169:{3,4,6}:{(142,1),(143,1),(182,1),(187,1),(190,1),(191,1),(206,1)}
       170:{1,3,6}:{(143,1),(144,1),(183,1),(188,1),(192,1)}
       171:{2,3,6}:{(143,1),(184,1),(189,1),(191,1),(192,1)}
       172:{2,6,7}:{(145,1),(149,1)}
       173:{1,6,7}:{(146,1),(150,1)}
       174:{3,5,6}:{(147,1),(152,1),(185,1),(193,1),(194,1),(206,1)}
       175:{4,5,7}:{(147,1),(148,1),(151,1),(193,1)}
       176:{2,4,6}:{(152,1),(153,1),(193,1),(194,1)}
       177:{3,5,7}:{(153,1),(154,1),(157,1),(194,1),(195,1)}
       178:{1,4,7}:{(154,1),(155,1),(158,1),(195,1)}
       179:{1,2,7}:{(155,1),(156,1),(159,1)}
       180:{1,5}:{(157,1),(158,1)}
       181:{1,3}:{(160,1)}
       182:{3,4}:{(161,1),(162,1),(197,1)}
       183:{1,3,5}:{(162,1),(163,1),(170,1),(196,1),(198,1)}
       184:{2,3,5}:{(162,1),(171,1),(197,1),(198,1),(203,1),(208,1)}
       185:{1,5,6}:{(164,1),(174,1),(199,1),(204,1)}
       186:{1,4,5,7}:{(164,1),(165,1),(168,1),(175,1),(199,1),(200,1)}
       187:{3,4,7}:{(165,1),(166,1),(169,1),(200,1),(201,1)}
       188:{1,3,7}:{(166,1),(167,1),(170,1),(202,1)}
       189:{2,3,7}:{(166,1),(171,1),(201,1),(202,1)}
       190:{3,5}:{(168,1),(169,1),(203,1)}
       191:{2,4,6}:{(169,1),(171,1),(197,1),(201,1),(203,1),(209,1)}
       192:{1,2,6}:{(170,1),(171,1),(198,1),(202,1)}
       193:{4,6}:{(174,1),(175,1)}
       194:{3,6}:{(176,1),(177,1),(204,1)}
       195:{1,5,7}:{(177,1),(178,1),(180,1),(204,1)}
       196:{1,3,4}:{(182,1),(183,1),(205,1)}
       197:{2,4}:{(182,1),(184,1)}
       198:{1,2,5}:{(183,1),(184,1),(192,1),(205,1)}
       199:{1,4,6}:{(185,1),(186,1),(193,1),(206,1)}
       200:{3,5,7}:{(186,1),(187,1),(190,1),(206,1),(207,1)}
       201:{2,4,7}:{(187,1),(189,1),(191,1),(207,1)}
       202:{1,2,7}:{(188,1),(189,1),(192,1)}
       203:{2,5}:{(190,1),(191,1)}
       204:{1,6}:{(194,1),(195,1)}
       205:{1,2,4}:{(196,1),(197,1),(198,1),(208,1)}
       206:{3,6}:{(199,1),(200,1),(209,1)}
       207:{2,5,7}:{(200,1),(201,1),(203,1),(209,1)}
       208:{2,3}:{(205,1)}
       209:{2,6}:{(206,1),(207,1)}

 409 :  0:{1,3,4}:{(2,1),(3,1),(46,1)}
        1:{3,4,5}:{(5,1),(6,1),(7,1),(32,1),(73,1)}
        2:{1,3,5}:{(0,1),(6,1),(8,1),(9,1),(32,1)}
        3:{1,2,4}:{(0,1),(9,1),(10,1),(35,1)}
        4:{4,5,6}:{(13,1),(14,1),(65,1),(83,1)}
        5:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(17,1),(45,1),(65,1)}
        6:{1,4,5}:{(1,1),(2,1),(16,1)}
        7:{2,4,5}:{(1,1),(11,1),(17,1)}
        8:{1,3,6}:{(2,1),(16,1),(19,1),(20,1),(45,1)}
        9:{1,2,5}:{(2,1),(3,1),(20,1),(21,1)}
       10:{2,3}:{(3,1)}
       11:{2,3,5}:{(7,1),(22,1),(23,1),(24,1),(32,1)}
       12:{5,6,7}:{(25,1),(81,1)}
       13:{4,5,7}:{(4,1),(25,1),(26,1),(72,1),(81,1)}
       14:{3,5,6}:{(4,1),(5,1),(26,1),(27,1),(28,1)}
       15:{3,4,7}:{(5,1),(26,1),(29,1),(30,1),(57,1),(72,1)}
       16:{1,4,6}:{(5,1),(6,1),(8,1),(27,1),(29,1)}
       17:{2,4,6}:{(5,1),(7,1),(23,1),(28,1),(30,1)}
       18:{1,2,4,5}:{(6,1),(7,1),(9,1),(24,1),(31,1),(32,1),(35,1),(52,1),(60,1),(70,1),(73,1)}
       19:{1,3,7}:{(8,1),(29,1),(33,1),(57,1)}
       20:{1,2,6}:{(8,1),(9,1),(33,1),(34,1)}
       21:{2,3,5}:{(9,1),(10,1),(32,1),(34,1),(35,1),(60,1)}
       22:{2,3,4}:{(11,1),(36,1),(46,1)}
       23:{2,3,6}:{(11,1),(17,1),(37,1),(38,1),(45,1)}
       24:{1,2,5}:{(11,1),(36,1),(38,1),(39,1)}
       25:{4,6,7}:{(12,1),(13,1),(40,1)}
       26:{3,5,7}:{(13,1),(14,1),(15,1),(40,1),(41,1),(42,1)}
       27:{1,5,6}:{(14,1),(16,1),(41,1)}
       28:{2,5,6}:{(14,1),(17,1),(42,1)}
       29:{1,4,7}:{(15,1),(16,1),(19,1),(41,1)}
       30:{2,4,7}:{(15,1),(17,1),(37,1),(42,1)}
       31:{1,2,4,6}:{(16,1),(17,1),(18,1),(20,1),(38,1),(43,1),(44,1),(45,1),(48,1),(62,1),(65,1)}
       32:{3,5}:{(18,1),(45,1),(46,1)}
       33:{1,2,7}:{(19,1),(20,1),(47,1)}
       34:{2,3,6}:{(20,1),(21,1),(45,1),(47,1),(48,1)}
       35:{2,4}:{(21,1),(46,1)}
       36:{1,2,4}:{(22,1),(24,1),(49,1),(52,1)}
       37:{2,3,7}:{(23,1),(30,1),(50,1),(57,1)}
       38:{1,2,6}:{(23,1),(24,1),(50,1),(51,1)}
       39:{1,3,5}:{(24,1),(32,1),(49,1),(51,1),(52,1),(70,1)}
       40:{3,6,7}:{(25,1),(26,1),(53,1),(54,1)}
       41:{1,5,7}:{(26,1),(27,1),(29,1),(53,1)}
       42:{2,5,7}:{(26,1),(28,1),(30,1),(54,1)}
       43:{1,2,5,6}:{(27,1),(28,1),(31,1),(55,1),(56,1),(60,1),(70,1),(75,1),(80,1)}
       44:{1,2,4,7}:{(29,1),(30,1),(31,1),(33,1),(50,1),(55,1),(57,1),(59,1),(69,1),(72,1)}
       45:{3,6}:{(31,1),(32,1),(57,1)}
       46:{3,4}:{(32,1),(35,1),(52,1)}
       47:{2,3,7}:{(33,1),(34,1),(57,1),(59,1)}
       48:{2,4,6}:{(34,1),(35,1),(58,1),(59,1),(60,1),(75,1)}
       49:{1,3}:{(36,1)}
       50:{1,2,7}:{(37,1),(38,1),(61,1)}
       51:{1,3,6}:{(38,1),(39,1),(45,1),(61,1),(62,1)}
       52:{1,4}:{(39,1),(46,1)}
       53:{1,6,7}:{(40,1),(41,1)}
       54:{2,6,7}:{(40,1),(42,1)}
       55:{1,2,5,7}:{(41,1),(42,1),(43,1),(44,1),(63,1),(64,1),(68,1),(76,1)}
       56:{3,5,6}:{(43,1),(45,1),(64,1),(65,1),(67,1),(79,1),(83,1)}
       57:{3,7}:{(44,1),(45,1)}
       58:{3,4,6}:{(45,1),(46,1),(48,1),(62,1),(65,1),(66,1),(67,1),(79,1)}
       59:{2,4,7}:{(47,1),(48,1),(66,1),(68,1)}
       60:{2,5}:{(48,1),(67,1)}
       61:{1,3,7}:{(50,1),(51,1),(57,1),(69,1)}
       62:{1,4,6}:{(51,1),(52,1),(58,1),(69,1),(70,1),(80,1)}
       63:{1,2,6,7}:{(53,1),(54,1),(55,1),(71,1),(75,1),(80,1)}
       64:{3,5,7}:{(55,1),(56,1),(57,1),(71,1),(72,1),(81,1)}
       65:{4,6}:{(56,1),(72,1),(73,1)}
       66:{3,4,7}:{(57,1),(58,1),(59,1),(69,1),(72,1),(74,1)}
       67:{3,5}:{(58,1),(60,1),(70,1),(73,1)}
       68:{2,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{1,4,7}:{(61,1),(62,1),(66,1),(76,1)}
       70:{1,5}:{(62,1),(67,1)}
       71:{3,6,7}:{(63,1),(64,1),(77,1),(79,1)}
       72:{4,7}:{(64,1),(65,1)}
       73:{4,5}:{(65,1),(67,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(78,1),(79,1)}
       75:{2,6}:{(68,1),(79,1)}
       76:{1,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       78:{4,5,7}:{(72,1),(73,1),(74,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(82,1)}
       80:{1,6}:{(76,1),(79,1)}
       81:{5,7}:{(77,1),(83,1)}
       82:{4,6}:{(78,1),(79,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 410 :  0:{1,4,6}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,5}:{(0,1),(5,1),(21,1),(24,1)}
        3:{1,4,7}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{2,6}:{(1,1),(8,1),(9,1)}
        5:{3,5}:{(1,1),(2,1),(8,1),(10,1),(17,1)}
        6:{3,7}:{(1,1),(3,1),(9,1),(33,1)}
        7:{1,5,7}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{2,5}:{(4,1),(5,1),(13,1)}
        9:{2,7}:{(4,1),(6,1),(34,1)}
       10:{4}:{(5,1)}
       11:{3,5,7}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{1,6}:{(7,1),(16,1)}
       13:{2,4}:{(8,1),(10,1),(17,1)}
       14:{2,5,7}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{4,7}:{(10,1),(11,1),(20,1),(31,1)}
       16:{3,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{3}:{(13,1),(21,1)}
       18:{2,4,7}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{2,6}:{(14,1),(16,1)}
       20:{4,6}:{(15,1),(16,1),(24,1)}
       21:{1}:{(17,1)}
       22:{3,7}:{(17,1),(18,1),(25,1),(26,1)}
       23:{2,4,6}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{5}:{(20,1)}
       25:{1,7}:{(21,1),(22,1),(28,1)}
       26:{3,6}:{(22,1),(23,1),(28,1),(29,1)}
       27:{2,5}:{(23,1),(24,1),(29,1),(34,1)}
       28:{1,6}:{(25,1),(26,1),(30,1)}
       29:{3,5}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{1,5}:{(28,1),(29,1),(32,1)}
       31:{4}:{(29,1)}
       32:{1,4}:{(30,1),(31,1),(33,1)}
       33:{3}:{(32,1),(34,1)}
       34:{2}:{(33,1)}

 411 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(14,1),(17,1),(45,1),(54,1),(55,1),(91,1),(92,1),(124,1),(149,1)}
         1:{1,2,5,6}:{(0,1),(4,1),(5,1),(6,1),(32,1),(58,1),(67,1),(76,1),(100,1),(109,1),(137,1)}
         2:{2,4,6}:{(0,1),(7,1),(8,1),(9,1),(65,1),(112,1),(159,1)}
         3:{2,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(30,1),(33,1),(37,1),(75,1)}
         4:{1,3,5,6}:{(1,1),(11,1),(12,1),(14,1),(38,1),(44,1),(81,1),(82,1),(90,1),(92,1),(123,1),(149,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(15,1),(19,1),(40,1),(48,1),(85,1)}
         6:{1,2,5,7}:{(1,1),(3,1),(12,1),(15,1),(16,1),(53,1),(80,1)}
         7:{2,4,5}:{(2,1),(17,1),(124,1),(125,1)}
         8:{3,4,6}:{(2,1),(14,1),(17,1),(19,1),(20,1),(43,1),(54,1)}
         9:{2,4,7}:{(2,1),(3,1),(20,1),(96,1)}
        10:{2,3,6,7}:{(3,1),(16,1),(21,1),(51,1),(54,1),(91,1),(157,1)}
        11:{1,4,6}:{(4,1),(22,1),(23,1),(24,1),(64,1),(112,1),(159,1)}
        12:{1,3,5,7}:{(4,1),(6,1),(24,1),(25,1),(30,1),(59,1),(63,1),(75,1)}
        13:{1,2,4,5}:{(5,1),(7,1),(22,1),(26,1),(32,1),(58,1),(64,1),(65,1),(67,1),(137,1),(159,1)}
        14:{3,6}:{(5,1),(26,1),(30,1),(104,1)}
        15:{1,2,4,7}:{(5,1),(6,1),(9,1),(24,1),(30,1),(35,1),(61,1),(72,1)}
        16:{1,2,6,7}:{(6,1),(10,1),(25,1),(76,1),(100,1),(109,1),(165,1)}
        17:{3,5}:{(7,1),(8,1),(32,1)}
        18:{2,4,5,7}:{(7,1),(9,1),(33,1),(34,1),(37,1),(79,1)}
        19:{1,4,6}:{(8,1),(28,1),(32,1),(35,1),(64,1),(76,1)}
        20:{3,4,7}:{(8,1),(9,1),(30,1),(33,1),(35,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(34,1),(36,1),(37,1),(107,1),(144,1),(146,1)}
        22:{1,4,5}:{(11,1),(38,1),(123,1),(125,1)}
        23:{3,4,6}:{(11,1),(14,1),(38,1),(40,1),(41,1),(43,1),(81,1)}
        24:{1,4,7}:{(11,1),(12,1),(41,1),(96,1)}
        25:{1,3,6,7}:{(12,1),(16,1),(42,1),(51,1),(81,1),(90,1),(156,1)}
        26:{3,5}:{(13,1),(14,1),(43,1)}
        27:{1,2,4,5,7}:{(13,1),(15,1),(18,1),(39,1),(46,1),(47,1),(52,1),(53,1),(80,1),(86,1),(87,1),(89,1),(96,1),(99,1),(120,1),(123,1),(124,1),(125,1),(129,1),(133,1),(148,1),(150,1)}
        28:{1,3,6}:{(14,1),(19,1),(44,1),(48,1),(49,1)}
        29:{2,3,6}:{(14,1),(40,1),(45,1),(48,1),(50,1)}
        30:{3,7}:{(14,1),(15,1)}
        31:{1,2,4,6,7}:{(15,1),(16,1),(21,1),(42,1),(47,1),(51,1),(52,1),(56,1),(83,1),(93,1),(96,1),(122,1),(129,1)}
        32:{1,5}:{(17,1),(19,1)}
        33:{3,5,7}:{(17,1),(18,1),(20,1),(53,1),(54,1)}
        34:{2,4,6}:{(18,1),(54,1),(55,1),(98,1)}
        35:{1,4,7}:{(19,1),(20,1),(49,1),(53,1)}
        36:{3,4,6,7}:{(20,1),(21,1),(51,1),(54,1),(56,1),(57,1),(88,1),(96,1),(98,1),(130,1),(132,1)}
        37:{2,5,7}:{(21,1),(55,1),(57,1),(124,1)}
        38:{3,5}:{(22,1),(23,1),(58,1)}
        39:{1,4,5,7}:{(22,1),(24,1),(59,1),(60,1),(63,1),(103,1)}
        40:{2,4,6}:{(23,1),(29,1),(58,1),(61,1),(65,1),(100,1)}
        41:{3,4,7}:{(23,1),(24,1),(30,1),(59,1),(61,1)}
        42:{1,4,6,7}:{(24,1),(25,1),(60,1),(62,1),(63,1),(106,1),(145,1),(158,1)}
        43:{3,4}:{(26,1),(64,1),(65,1),(104,1),(159,1)}
        44:{1,3,5}:{(26,1),(28,1),(32,1),(64,1),(67,1),(104,1)}
        45:{2,3,5}:{(26,1),(29,1),(58,1),(65,1),(67,1),(104,1)}
        46:{3,5,7}:{(26,1),(27,1),(30,1),(66,1),(70,1),(108,1),(143,1),(160,1)}
        47:{1,2,4,6}:{(27,1),(34,1),(60,1),(70,1),(71,1),(76,1),(100,1),(106,1),(107,1),(109,1),(112,1),(116,1),(134,1),(146,1),(158,1)}
        48:{1,2,6}:{(28,1),(29,1),(67,1),(72,1)}
        49:{1,3,7}:{(28,1),(30,1),(35,1),(72,1)}
        50:{2,3,7}:{(29,1),(30,1),(61,1),(72,1)}
        51:{3,6,7}:{(30,1),(31,1),(70,1),(75,1),(136,1),(143,1)}
        52:{1,2,5,7}:{(31,1),(37,1),(63,1),(71,1),(75,1),(78,1),(102,1),(137,1)}
        53:{1,5,7}:{(32,1),(33,1),(35,1),(76,1)}
        54:{3,6}:{(33,1),(34,1),(76,1)}
        55:{2,5,6}:{(34,1),(37,1),(77,1),(146,1)}
        56:{1,4,6,7}:{(35,1),(36,1),(73,1),(76,1),(78,1),(106,1),(114,1),(116,1)}
        57:{3,5,7}:{(36,1),(37,1),(77,1),(78,1),(79,1),(108,1)}
        58:{2,5}:{(38,1),(40,1)}
        59:{3,5,7}:{(38,1),(39,1),(41,1),(80,1),(81,1)}
        60:{1,4,6}:{(39,1),(81,1),(82,1),(119,1)}
        61:{2,4,7}:{(40,1),(41,1),(50,1),(80,1)}
        62:{3,4,6,7}:{(41,1),(42,1),(51,1),(81,1),(83,1),(84,1),(88,1),(96,1),(119,1),(131,1),(147,1)}
        63:{1,5,7}:{(42,1),(82,1),(84,1),(123,1)}
        64:{1,4}:{(43,1),(44,1)}
        65:{2,4}:{(43,1),(45,1)}
        66:{3,4,7}:{(43,1),(46,1),(86,1),(87,1),(88,1),(96,1),(121,1),(166,1)}
        67:{1,2,5}:{(44,1),(45,1),(48,1),(85,1)}
        68:{1,3,5,7}:{(44,1),(46,1),(49,1),(53,1),(86,1),(89,1),(90,1),(121,1),(123,1),(148,1),(149,1),(156,1),(167,1)}
        69:{2,3,5,7}:{(45,1),(46,1),(50,1),(80,1),(87,1),(89,1),(91,1),(121,1),(124,1),(133,1),(149,1),(157,1),(168,1)}
        70:{3,6}:{(46,1),(47,1)}
        71:{1,2,5,6}:{(47,1),(52,1),(55,1),(82,1),(92,1),(97,1),(118,1),(123,1),(124,1)}
        72:{1,2,7}:{(48,1),(49,1),(50,1)}
        73:{1,3,6,7}:{(49,1),(51,1),(56,1),(90,1),(93,1),(94,1),(132,1)}
        74:{2,3,6,7}:{(50,1),(51,1),(83,1),(91,1),(93,1),(95,1),(147,1)}
        75:{3,5,7}:{(51,1),(52,1),(92,1),(96,1),(149,1)}
        76:{1,6}:{(53,1),(54,1)}
        77:{3,5,6}:{(54,1),(55,1),(57,1),(97,1),(98,1),(132,1)}
        78:{1,5,7}:{(56,1),(57,1),(97,1),(123,1)}
        79:{4,5,7}:{(57,1),(96,1),(98,1),(125,1)}
        80:{2,5,7}:{(58,1),(59,1),(61,1),(100,1)}
        81:{3,6}:{(59,1),(60,1),(100,1)}
        82:{1,5,6}:{(60,1),(63,1),(101,1),(158,1)}
        83:{2,4,6,7}:{(61,1),(62,1),(74,1),(100,1),(102,1),(107,1),(115,1),(134,1)}
        84:{3,5,7}:{(62,1),(63,1),(101,1),(102,1),(103,1),(108,1)}
        85:{1,2,4}:{(64,1),(65,1),(67,1),(104,1)}
        86:{1,4,7}:{(64,1),(66,1),(68,1),(106,1),(159,1),(170,1)}
        87:{2,4,7}:{(65,1),(66,1),(69,1),(107,1),(159,1),(171,1)}
        88:{3,4,6}:{(66,1),(70,1),(106,1),(107,1),(108,1),(112,1),(136,1),(159,1)}
        89:{1,2,5,7}:{(67,1),(68,1),(69,1),(72,1),(105,1),(109,1),(137,1),(165,1),(172,1)}
        90:{1,3,6}:{(68,1),(70,1),(76,1),(106,1),(109,1),(136,1),(158,1)}
        91:{2,3,6}:{(69,1),(70,1),(100,1),(107,1),(109,1),(136,1),(146,1)}
        92:{3,5,6}:{(70,1),(71,1),(75,1),(108,1),(112,1)}
        93:{1,2,6,7}:{(72,1),(73,1),(74,1),(109,1),(113,1),(146,1),(158,1)}
        94:{1,3,5,7}:{(73,1),(75,1),(78,1),(110,1),(113,1),(114,1),(117,1),(143,1)}
        95:{2,3,5,7}:{(74,1),(75,1),(102,1),(111,1),(113,1),(115,1),(135,1),(143,1)}
        96:{4,7}:{(75,1),(112,1),(159,1)}
        97:{1,5,6}:{(76,1),(77,1),(78,1),(116,1)}
        98:{4,6}:{(77,1),(79,1)}
        99:{1,4,5,7}:{(78,1),(79,1),(114,1),(116,1),(117,1),(138,1)}
       100:{2,6}:{(80,1),(81,1)}
       101:{3,5,6}:{(81,1),(82,1),(84,1),(118,1),(119,1),(147,1)}
       102:{2,5,7}:{(83,1),(84,1),(118,1),(124,1)}
       103:{4,5,7}:{(84,1),(96,1),(119,1),(125,1)}
       104:{3}:{(85,1)}
       105:{1,2,4,7}:{(85,1),(86,1),(87,1),(89,1),(121,1),(122,1),(173,1)}
       106:{1,4,6}:{(86,1),(88,1),(90,1),(123,1)}
       107:{2,4,6}:{(87,1),(88,1),(91,1),(124,1)}
       108:{3,5}:{(88,1),(123,1),(124,1),(125,1)}
       109:{1,2,6}:{(89,1),(90,1),(91,1)}
       110:{1,3,5,6}:{(90,1),(92,1),(94,1),(97,1),(123,1),(126,1),(127,1),(132,1),(149,1),(151,1),(153,1),(167,1)}
       111:{2,3,5,6}:{(91,1),(92,1),(95,1),(118,1),(124,1),(126,1),(128,1),(147,1),(149,1),(152,1),(153,1),(168,1)}
       112:{4,6}:{(92,1),(96,1),(125,1)}
       113:{1,2,5,7}:{(93,1),(94,1),(95,1),(126,1),(129,1),(133,1),(148,1)}
       114:{1,4,7}:{(94,1),(96,1),(127,1),(130,1)}
       115:{2,4,7}:{(95,1),(96,1),(128,1),(131,1)}
       116:{1,4,6}:{(97,1),(98,1),(99,1),(132,1)}
       117:{3,5,7}:{(99,1),(130,1),(132,1),(133,1),(151,1)}
       118:{2,5,6}:{(100,1),(101,1),(102,1),(134,1)}
       119:{4,6}:{(101,1),(103,1)}
       120:{2,4,5,7}:{(102,1),(103,1),(115,1),(134,1),(135,1),(139,1)}
       121:{3,7}:{(104,1),(105,1),(136,1),(174,1)}
       122:{1,2,4,6}:{(105,1),(106,1),(107,1),(109,1),(136,1),(137,1),(159,1)}
       123:{1,5}:{(106,1),(108,1)}
       124:{2,5}:{(107,1),(108,1)}
       125:{4,5}:{(108,1),(112,1),(159,1)}
       126:{1,2,5,6}:{(109,1),(110,1),(111,1),(113,1),(137,1),(140,1),(146,1),(158,1),(161,1),(162,1),(172,1)}
       127:{1,4,6}:{(110,1),(112,1),(114,1),(138,1),(141,1),(159,1),(170,1)}
       128:{2,4,6}:{(111,1),(112,1),(115,1),(139,1),(142,1),(159,1),(171,1)}
       129:{1,2,4,7}:{(113,1),(114,1),(115,1),(140,1),(143,1),(144,1),(145,1),(165,1)}
       130:{3,4,7}:{(114,1),(117,1),(141,1),(143,1),(144,1)}
       131:{3,4,7}:{(115,1),(135,1),(142,1),(143,1),(145,1)}
       132:{3,6}:{(116,1),(117,1),(146,1)}
       133:{2,5,7}:{(117,1),(144,1),(146,1),(161,1)}
       134:{2,4,6}:{(118,1),(119,1),(120,1),(147,1)}
       135:{3,5,7}:{(120,1),(131,1),(147,1),(148,1),(152,1)}
       136:{3,6}:{(121,1),(122,1),(149,1)}
       137:{1,2,5}:{(122,1),(123,1),(124,1),(149,1)}
       138:{1,4,5}:{(123,1),(125,1),(127,1),(151,1)}
       139:{2,4,5}:{(124,1),(125,1),(128,1),(152,1)}
       140:{1,2,4,6}:{(126,1),(127,1),(128,1),(129,1),(150,1),(153,1),(154,1),(155,1),(169,1),(173,1)}
       141:{3,4,6}:{(127,1),(130,1),(132,1),(151,1),(153,1),(154,1),(166,1)}
       142:{3,4,6}:{(128,1),(131,1),(147,1),(152,1),(153,1),(155,1),(166,1)}
       143:{3,7}:{(129,1),(153,1)}
       144:{2,4,7}:{(130,1),(133,1),(154,1),(157,1)}
       145:{1,4,7}:{(131,1),(148,1),(155,1),(156,1)}
       146:{2,6}:{(132,1),(133,1)}
       147:{3,6}:{(134,1),(135,1),(158,1)}
       148:{1,5,7}:{(135,1),(145,1),(158,1),(162,1)}
       149:{3,5}:{(136,1),(137,1),(159,1)}
       150:{1,2,4,5}:{(137,1),(138,1),(139,1),(140,1),(159,1),(160,1),(161,1),(162,1),(170,1),(171,1),(172,1)}
       151:{3,5}:{(138,1),(141,1),(161,1)}
       152:{3,5}:{(139,1),(142,1),(162,1)}
       153:{3,6}:{(140,1),(143,1),(160,1),(174,1)}
       154:{2,4,6}:{(141,1),(144,1),(146,1),(161,1),(164,1),(171,1)}
       155:{1,4,6}:{(142,1),(145,1),(158,1),(162,1),(163,1),(170,1)}
       156:{1,3,7}:{(143,1),(145,1),(163,1),(165,1)}
       157:{2,3,7}:{(143,1),(144,1),(164,1),(165,1)}
       158:{1,6}:{(147,1),(148,1)}
       159:{4}:{(149,1)}
       160:{3,5}:{(150,1),(153,1),(166,1)}
       161:{2,5}:{(151,1),(154,1)}
       162:{1,5}:{(152,1),(155,1)}
       163:{1,3,6}:{(153,1),(155,1),(156,1),(167,1),(169,1)}
       164:{2,3,6}:{(153,1),(154,1),(157,1),(168,1),(169,1)}
       165:{1,2,7}:{(156,1),(157,1),(169,1)}
       166:{3,4}:{(159,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(160,1),(162,1),(163,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(160,1),(161,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(163,1),(164,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

 412 :   0:{2,3,5,7}:{(2,1),(3,1),(4,1),(5,1),(18,1),(22,1),(48,1)}
         1:{2,4,5,7}:{(3,1),(5,1),(6,1),(22,1),(24,1),(50,1),(52,1)}
         2:{1,2,5,7}:{(0,1),(7,1),(8,1),(9,1),(13,1),(33,1),(55,1)}
         3:{2,4,7}:{(0,1),(10,1),(11,1),(63,1),(88,1)}
         4:{2,3,6}:{(0,1),(9,1),(11,1),(14,1),(32,1),(100,1)}
         5:{3,5,7}:{(1,1),(10,1),(13,1),(14,1),(35,1)}
         6:{2,4,6}:{(1,1),(14,1),(15,1),(39,1)}
         7:{1,3,5,7}:{(2,1),(16,1),(17,1),(18,1),(40,1),(44,1),(48,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(16,1),(18,1),(19,1),(20,1),(42,1),(45,1)}
         9:{1,2,6}:{(2,1),(4,1),(17,1),(25,1),(69,1),(103,1)}
        10:{3,4,7}:{(3,1),(5,1),(18,1),(20,1),(21,1),(52,1),(77,1)}
        11:{2,4,6}:{(3,1),(4,1),(21,1),(22,1),(78,1),(94,1)}
        12:{2,4,6,7}:{(6,1),(23,1),(24,1),(52,1)}
        13:{1,5,7}:{(5,1),(20,1),(25,1),(49,1)}
        14:{3,6}:{(5,1),(6,1),(25,1)}
        15:{2,5,6}:{(6,1),(22,1),(24,1),(26,1),(78,1)}
        16:{1,4,7}:{(7,1),(28,1),(29,1),(63,1),(104,1)}
        17:{1,3,6}:{(7,1),(9,1),(29,1),(32,1),(56,1),(99,1)}
        18:{3,7}:{(8,1),(32,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(11,1),(29,1),(32,1),(33,1),(34,1),(58,1),(60,1),(63,1),(84,1)}
        20:{1,4,7}:{(10,1),(13,1),(30,1),(34,1)}
        21:{3,4,6}:{(10,1),(11,1),(14,1),(32,1),(34,1),(35,1),(39,1),(63,1),(66,1),(85,1)}
        22:{2,5}:{(11,1),(35,1)}
        23:{3,6,7}:{(12,1),(14,1),(36,1),(37,1)}
        24:{2,5,7}:{(12,1),(15,1),(37,1),(88,1)}
        25:{1,6}:{(13,1),(14,1)}
        26:{3,5,6}:{(14,1),(15,1),(35,1),(37,1),(38,1),(39,1),(66,1)}
        27:{1,4,5,7}:{(16,1),(40,1),(41,1),(44,1),(68,1),(72,1),(90,1)}
        28:{3,4,7}:{(16,1),(18,1),(40,1),(42,1),(43,1),(90,1),(101,1)}
        29:{1,4,6}:{(16,1),(17,1),(43,1),(44,1),(95,1),(102,1)}
        30:{1,3,7}:{(18,1),(20,1),(45,1),(46,1),(77,1)}
        31:{2,3,7}:{(18,1),(42,1),(45,1),(47,1),(101,1)}
        32:{3,6}:{(18,1),(19,1),(48,1),(93,1)}
        33:{1,2,5}:{(19,1),(22,1),(44,1),(48,1),(49,1),(71,1)}
        34:{1,4,6}:{(20,1),(21,1),(25,1),(46,1),(49,1),(74,1)}
        35:{3,5}:{(21,1),(22,1),(49,1),(50,1)}
        36:{1,6,7}:{(23,1),(25,1),(51,1)}
        37:{3,5,7}:{(23,1),(24,1),(26,1),(51,1),(52,1),(77,1)}
        38:{1,5,6}:{(25,1),(26,1),(49,1),(51,1),(53,1)}
        39:{4,6}:{(26,1),(50,1),(52,1)}
        40:{3,5,7}:{(27,1),(28,1),(55,1),(56,1),(59,1)}
        41:{1,4,6}:{(27,1),(56,1),(57,1),(82,1)}
        42:{2,4,7}:{(28,1),(31,1),(55,1),(58,1)}
        43:{3,4,6}:{(28,1),(29,1),(32,1),(56,1),(58,1),(59,1),(63,1),(82,1),(86,1),(97,1)}
        44:{1,5}:{(29,1),(59,1)}
        45:{1,2,7}:{(30,1),(31,1),(60,1),(88,1),(104,1)}
        46:{1,3,6}:{(30,1),(32,1),(34,1),(60,1),(61,1),(66,1)}
        47:{2,3,6}:{(31,1),(32,1),(58,1),(60,1),(62,1),(97,1)}
        48:{3,5}:{(32,1),(33,1),(63,1)}
        49:{1,5}:{(34,1),(35,1)}
        50:{4,5}:{(35,1),(39,1),(63,1)}
        51:{1,5,7}:{(36,1),(37,1),(38,1),(65,1)}
        52:{4,7}:{(37,1),(39,1)}
        53:{1,4,6}:{(38,1),(39,1),(64,1),(65,1),(66,1)}
        54:{1,4,6,7}:{(41,1),(67,1),(68,1),(90,1)}
        55:{2,5,7}:{(40,1),(42,1),(69,1),(71,1)}
        56:{3,6}:{(40,1),(41,1),(69,1)}
        57:{1,5,6}:{(41,1),(44,1),(68,1),(70,1),(102,1)}
        58:{2,4,6}:{(42,1),(43,1),(47,1),(69,1),(71,1),(75,1)}
        59:{3,5}:{(43,1),(44,1),(71,1),(72,1)}
        60:{1,2,6}:{(45,1),(46,1),(47,1),(73,1),(78,1),(102,1)}
        61:{1,3,5}:{(46,1),(48,1),(49,1),(73,1),(74,1),(76,1),(93,1)}
        62:{2,3,5}:{(47,1),(48,1),(71,1),(73,1),(75,1),(92,1),(93,1)}
        63:{4}:{(48,1)}
        64:{1,4,5}:{(49,1),(50,1),(53,1),(74,1),(76,1)}
        65:{1,4,7}:{(51,1),(52,1),(53,1),(77,1)}
        66:{3,6}:{(53,1),(76,1),(77,1),(78,1)}
        67:{3,6,7}:{(54,1),(56,1),(79,1),(80,1)}
        68:{1,5,7}:{(54,1),(57,1),(80,1),(104,1)}
        69:{2,6}:{(55,1),(56,1)}
        70:{3,5,6}:{(56,1),(57,1),(59,1),(80,1),(81,1),(82,1),(97,1)}
        71:{2,5}:{(58,1),(59,1)}
        72:{4,5}:{(59,1),(63,1),(82,1)}
        73:{1,2,5}:{(60,1),(61,1),(62,1),(84,1),(87,1),(98,1)}
        74:{1,4}:{(61,1),(63,1),(85,1)}
        75:{2,4}:{(62,1),(63,1),(86,1)}
        76:{3,5}:{(64,1),(66,1),(85,1),(87,1)}
        77:{3,7}:{(65,1),(66,1),(88,1)}
        78:{2,6}:{(66,1),(87,1),(88,1)}
        79:{2,6,7}:{(67,1),(69,1),(89,1)}
        80:{3,5,7}:{(67,1),(68,1),(70,1),(89,1),(90,1),(101,1)}
        81:{2,5,6}:{(69,1),(70,1),(71,1),(89,1),(91,1)}
        82:{4,6}:{(70,1),(72,1),(90,1)}
        83:{2,4,5}:{(71,1),(72,1),(75,1),(91,1),(92,1)}
        84:{1,2,4}:{(73,1),(74,1),(75,1),(93,1),(94,1),(95,1),(103,1)}
        85:{3,4}:{(74,1),(76,1),(93,1),(94,1)}
        86:{3,4}:{(75,1),(92,1),(93,1),(95,1)}
        87:{2,5}:{(76,1),(78,1),(94,1)}
        88:{2,7}:{(77,1),(78,1)}
        89:{2,5,7}:{(79,1),(80,1),(81,1),(96,1)}
        90:{4,7}:{(80,1),(82,1)}
        91:{2,4,6}:{(81,1),(82,1),(83,1),(96,1),(97,1)}
        92:{3,5}:{(83,1),(86,1),(97,1),(98,1)}
        93:{3}:{(84,1)}
        94:{2,4}:{(85,1),(87,1),(100,1)}
        95:{1,4}:{(86,1),(98,1),(99,1)}
        96:{2,4,7}:{(89,1),(90,1),(91,1),(101,1)}
        97:{3,6}:{(91,1),(92,1),(101,1),(102,1)}
        98:{1,5}:{(92,1),(95,1),(102,1)}
        99:{1,3}:{(93,1),(95,1),(103,1)}
       100:{2,3}:{(93,1),(94,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{1,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{1,7}:{(101,1),(102,1)}

 413 :   0:{2,4,5,6}:{(1,1),(2,1),(10,1),(88,1),(89,1)}
         1:{3,5,6}:{(0,1),(3,1),(4,1),(6,1)}
         2:{2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(70,1),(71,1)}
         3:{3,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(41,1)}
         4:{1,5,6}:{(1,1),(9,1),(13,1)}
         5:{2,3,5,6}:{(1,1),(10,1),(12,1),(14,1),(32,1),(41,1),(83,1),(88,1),(139,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(13,1),(15,1)}
         7:{2,4,6,7}:{(2,1),(15,1),(16,1),(50,1)}
         8:{3,4,5}:{(3,1),(17,1),(18,1),(56,1)}
         9:{1,4,6}:{(3,1),(4,1),(17,1),(20,1),(23,1)}
        10:{2,4,6}:{(3,1),(5,1),(18,1),(24,1),(160,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(24,1),(67,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(22,1),(26,1),(27,1),(54,1),(112,1),(117,1),(162,1)}
        13:{1,5,7}:{(4,1),(6,1),(23,1),(28,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(24,1),(27,1),(29,1),(67,1),(70,1),(124,1)}
        15:{3,6,7}:{(6,1),(7,1),(28,1)}
        16:{2,5,6,7}:{(7,1),(30,1),(70,1),(128,1)}
        17:{1,4,5}:{(8,1),(9,1),(31,1)}
        18:{2,4,5}:{(8,1),(10,1),(32,1),(177,1)}
        19:{3,4,5,7}:{(8,1),(11,1),(34,1),(35,1),(36,1),(45,1),(85,1),(145,1),(148,1),(171,1),(177,1)}
        20:{1,3,6}:{(9,1),(31,1),(37,1),(38,1),(41,1)}
        21:{2,3,4,6}:{(10,1),(32,1),(39,1),(40,1),(41,1),(83,1),(84,1),(90,1),(138,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(12,1),(33,1),(37,1),(41,1),(42,1),(46,1),(90,1)}
        23:{1,4,7}:{(9,1),(11,1),(13,1),(38,1)}
        24:{2,4,7}:{(10,1),(11,1),(14,1),(148,1)}
        25:{3,4,6,7}:{(11,1),(15,1),(36,1),(43,1),(44,1),(45,1),(50,1),(97,1),(102,1),(145,1),(148,1)}
        26:{1,3,5,6}:{(12,1),(41,1),(46,1),(47,1),(81,1),(95,1),(137,1),(139,1),(146,1),(150,1),(176,1)}
        27:{1,2,5,7}:{(12,1),(13,1),(14,1),(42,1),(47,1),(48,1),(141,1)}
        28:{1,6,7}:{(13,1),(15,1)}
        29:{2,3,6,7}:{(14,1),(15,1),(44,1),(48,1),(83,1),(97,1),(182,1)}
        30:{3,5,6,7}:{(15,1),(16,1),(45,1),(49,1),(50,1),(102,1)}
        31:{1,3,5}:{(17,1),(20,1),(51,1),(52,1),(56,1)}
        32:{2,3,5}:{(18,1),(21,1),(54,1),(56,1),(117,1),(159,1)}
        33:{1,2,4,5}:{(17,1),(18,1),(22,1),(52,1),(54,1),(56,1),(72,1),(106,1),(110,1),(117,1)}
        34:{1,4,5,7}:{(17,1),(19,1),(23,1),(53,1),(58,1),(69,1),(121,1),(153,1)}
        35:{2,4,5,7}:{(18,1),(19,1),(24,1),(55,1),(59,1),(70,1),(166,1),(186,1)}
        36:{3,4,6}:{(19,1),(58,1),(59,1),(60,1),(114,1),(160,1)}
        37:{1,2,6}:{(20,1),(52,1),(61,1),(62,1)}
        38:{1,3,7}:{(20,1),(23,1),(62,1),(67,1)}
        39:{1,2,4,6}:{(21,1),(54,1),(64,1),(65,1),(110,1),(112,1),(158,1)}
        40:{2,3,4,7}:{(21,1),(24,1),(55,1),(65,1),(67,1),(113,1),(118,1),(204,1)}
        41:{3,6}:{(22,1),(56,1),(67,1)}
        42:{1,2,4,7}:{(22,1),(23,1),(24,1),(27,1),(62,1),(67,1),(73,1),(118,1)}
        43:{1,4,6,7}:{(23,1),(25,1),(28,1),(58,1),(63,1),(69,1),(121,1)}
        44:{2,4,6,7}:{(24,1),(25,1),(29,1),(59,1),(70,1),(128,1),(166,1)}
        45:{3,5,7}:{(25,1),(60,1),(69,1),(70,1),(71,1)}
        46:{1,4,6}:{(26,1),(66,1),(72,1),(73,1),(110,1),(160,1)}
        47:{1,3,5,7}:{(26,1),(27,1),(67,1),(73,1),(74,1),(122,1),(124,1),(127,1)}
        48:{1,2,6,7}:{(27,1),(28,1),(29,1),(74,1),(112,1),(162,1),(194,1)}
        49:{1,5,6,7}:{(28,1),(30,1),(69,1),(75,1)}
        50:{4,6,7}:{(30,1),(71,1)}
        51:{1,3,4}:{(31,1),(76,1),(84,1)}
        52:{1,2,5}:{(31,1),(37,1),(76,1),(78,1)}
        53:{1,3,5,7}:{(31,1),(34,1),(38,1),(77,1),(79,1),(80,1),(85,1),(131,1),(202,1)}
        54:{1,2,5}:{(32,1),(39,1),(81,1),(176,1)}
        55:{2,3,5,7}:{(32,1),(35,1),(40,1),(82,1),(83,1),(85,1),(141,1),(182,1),(197,1)}
        56:{3,5}:{(33,1),(41,1),(84,1)}
        57:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(42,1),(79,1),(82,1),(85,1),(86,1),(98,1),(100,1),(132,1),(136,1),(141,1),(144,1),(148,1),(170,1),(172,1),(176,1),(177,1),(179,1),(202,1)}
        58:{1,4,6}:{(34,1),(36,1),(80,1),(87,1)}
        59:{2,4,6}:{(35,1),(36,1),(83,1),(88,1)}
        60:{3,5,6}:{(36,1),(45,1),(87,1),(88,1),(89,1)}
        61:{2,3,6}:{(37,1),(41,1),(78,1),(90,1),(91,1)}
        62:{1,2,7}:{(37,1),(38,1),(91,1)}
        63:{1,3,6,7}:{(38,1),(43,1),(80,1),(92,1),(93,1),(97,1),(102,1)}
        64:{1,3,6}:{(39,1),(41,1),(81,1),(94,1)}
        65:{1,2,4,7}:{(39,1),(40,1),(82,1),(94,1),(136,1),(208,1)}
        66:{3,4,6}:{(41,1),(46,1),(84,1),(90,1),(95,1),(96,1),(146,1)}
        67:{3,7}:{(41,1),(42,1)}
        68:{1,2,4,6,7}:{(42,1),(43,1),(44,1),(48,1),(86,1),(92,1),(97,1),(98,1),(101,1),(142,1),(144,1),(148,1)}
        69:{1,5,7}:{(43,1),(45,1),(87,1)}
        70:{2,5,7}:{(44,1),(45,1),(88,1)}
        71:{4,5,7}:{(45,1),(50,1),(89,1),(148,1)}
        72:{1,4,5}:{(46,1),(95,1),(176,1),(177,1)}
        73:{1,4,7}:{(46,1),(47,1),(96,1),(148,1)}
        74:{1,3,6,7}:{(47,1),(48,1),(97,1),(101,1),(137,1),(146,1),(181,1)}
        75:{1,4,6,7}:{(49,1),(50,1),(99,1),(102,1)}
        76:{1,2,4}:{(51,1),(52,1),(103,1),(106,1)}
        77:{1,3,4,7}:{(51,1),(53,1),(104,1),(105,1),(113,1),(121,1),(165,1),(193,1)}
        78:{2,3,5}:{(52,1),(56,1),(61,1),(103,1),(106,1),(117,1)}
        79:{1,2,5,7}:{(52,1),(53,1),(62,1),(104,1),(107,1),(108,1),(152,1)}
        80:{1,3,6}:{(53,1),(58,1),(108,1),(114,1),(207,1)}
        81:{1,3,5}:{(54,1),(56,1),(64,1),(110,1)}
        82:{1,2,5,7}:{(54,1),(55,1),(65,1),(111,1),(112,1),(194,1),(205,1)}
        83:{2,3,6}:{(55,1),(59,1),(112,1),(114,1),(162,1)}
        84:{3,4}:{(56,1),(106,1),(110,1)}
        85:{3,5,7}:{(56,1),(57,1),(67,1),(113,1),(114,1),(159,1),(165,1),(185,1)}
        86:{1,2,4,6}:{(57,1),(58,1),(59,1),(108,1),(112,1),(114,1),(115,1),(126,1),(154,1),(158,1),(160,1),(162,1),(191,1),(207,1)}
        87:{1,5,6}:{(58,1),(60,1),(69,1)}
        88:{2,5,6}:{(59,1),(60,1),(70,1)}
        89:{4,5,6}:{(60,1),(71,1),(160,1)}
        90:{2,4,6}:{(61,1),(66,1),(106,1),(117,1),(118,1),(162,1)}
        91:{2,3,7}:{(61,1),(62,1),(67,1),(118,1)}
        92:{1,2,6,7}:{(62,1),(63,1),(108,1),(119,1),(120,1),(128,1),(207,1)}
        93:{1,3,5,7}:{(63,1),(69,1),(109,1),(120,1),(121,1),(124,1),(125,1),(165,1)}
        94:{1,3,7}:{(64,1),(65,1),(67,1),(209,1)}
        95:{3,5}:{(66,1),(72,1),(117,1)}
        96:{3,4,7}:{(66,1),(67,1),(73,1),(118,1),(122,1)}
        97:{3,6,7}:{(67,1),(68,1),(114,1),(124,1),(165,1)}
        98:{1,2,5,7}:{(68,1),(69,1),(70,1),(115,1),(124,1),(127,1),(163,1)}
        99:{1,4,5,7}:{(69,1),(71,1),(75,1),(116,1),(121,1),(125,1)}
       100:{1,4,5,7}:{(72,1),(73,1),(122,1),(126,1),(127,1),(168,1)}
       101:{1,4,6,7}:{(73,1),(74,1),(123,1),(126,1),(127,1),(158,1),(193,1),(207,1)}
       102:{3,6,7}:{(75,1),(125,1),(128,1)}
       103:{2,3}:{(76,1)}
       104:{1,2,4,7}:{(76,1),(77,1),(79,1),(129,1),(130,1),(132,1)}
       105:{1,3,4,6}:{(77,1),(80,1),(130,1),(131,1),(135,1),(138,1),(174,1),(195,1),(199,1)}
       106:{2,4}:{(78,1),(84,1)}
       107:{2,3,5,7}:{(78,1),(79,1),(85,1),(91,1),(129,1),(132,1),(133,1),(141,1),(169,1),(172,1)}
       108:{1,2,6}:{(79,1),(80,1),(133,1)}
       109:{1,3,5,6}:{(80,1),(87,1),(93,1),(131,1),(134,1),(135,1),(139,1),(140,1),(174,1)}
       110:{1,4}:{(81,1),(84,1)}
       111:{1,3,5,7}:{(81,1),(82,1),(85,1),(94,1),(136,1),(137,1),(176,1),(181,1),(196,1),(202,1)}
       112:{1,2,6}:{(82,1),(83,1),(137,1)}
       113:{3,4,7}:{(84,1),(85,1),(132,1),(136,1),(138,1),(148,1),(195,1)}
       114:{3,6}:{(85,1),(86,1)}
       115:{1,2,5,6}:{(86,1),(87,1),(88,1),(98,1),(139,1),(150,1),(172,1),(176,1),(178,1)}
       116:{1,4,5,6}:{(87,1),(89,1),(99,1),(135,1),(140,1)}
       117:{2,5}:{(90,1),(95,1)}
       118:{2,4,7}:{(90,1),(91,1),(96,1),(141,1)}
       119:{2,3,6,7}:{(91,1),(92,1),(97,1),(133,1),(142,1),(143,1),(201,1)}
       120:{1,2,5,7}:{(92,1),(93,1),(134,1),(143,1),(144,1),(149,1),(202,1)}
       121:{1,4,7}:{(93,1),(135,1),(145,1),(148,1)}
       122:{3,5,7}:{(95,1),(96,1),(100,1),(141,1),(146,1)}
       123:{3,4,6,7}:{(96,1),(97,1),(101,1),(138,1),(142,1),(146,1),(147,1),(148,1),(180,1),(183,1),(201,1)}
       124:{3,5,7}:{(97,1),(98,1),(139,1),(148,1)}
       125:{3,5,7}:{(99,1),(102,1),(140,1),(145,1),(149,1)}
       126:{1,4,6}:{(100,1),(146,1),(150,1),(183,1)}
       127:{1,5,7}:{(101,1),(147,1),(150,1),(176,1)}
       128:{2,6,7}:{(102,1),(149,1)}
       129:{2,3,7}:{(103,1),(104,1),(151,1),(165,1)}
       130:{1,2,4,6}:{(104,1),(105,1),(108,1),(151,1),(152,1),(154,1),(184,1)}
       131:{1,3,5}:{(105,1),(152,1),(153,1),(159,1),(185,1),(206,1)}
       132:{2,4,7}:{(106,1),(107,1),(113,1),(154,1),(184,1)}
       133:{2,3,6}:{(107,1),(108,1),(114,1),(154,1),(162,1)}
       134:{1,2,5,6}:{(108,1),(109,1),(120,1),(152,1),(155,1),(156,1),(161,1),(206,1),(207,1)}
       135:{1,4,6}:{(109,1),(121,1),(153,1),(157,1),(160,1)}
       136:{1,4,7}:{(110,1),(111,1),(113,1),(158,1),(203,1)}
       137:{1,3,6}:{(111,1),(112,1),(114,1),(158,1),(207,1)}
       138:{3,4,6}:{(113,1),(114,1),(154,1),(158,1),(159,1),(160,1)}
       139:{3,5,6}:{(114,1),(115,1),(124,1),(159,1),(160,1)}
       140:{3,5,6}:{(116,1),(125,1),(157,1),(161,1)}
       141:{2,5,7}:{(117,1),(118,1),(122,1),(162,1)}
       142:{2,4,6,7}:{(118,1),(119,1),(123,1),(154,1),(162,1),(163,1),(164,1),(191,1)}
       143:{2,3,5,7}:{(119,1),(120,1),(124,1),(155,1),(163,1),(164,1),(165,1),(192,1)}
       144:{1,2,4,7}:{(120,1),(121,1),(156,1),(164,1),(165,1),(166,1),(193,1),(194,1)}
       145:{3,4,7}:{(121,1),(125,1),(157,1),(165,1),(166,1)}
       146:{3,6}:{(122,1),(126,1),(162,1)}
       147:{3,5,7}:{(123,1),(127,1),(159,1),(163,1),(167,1),(168,1)}
       148:{4,7}:{(124,1),(160,1)}
       149:{2,5,7}:{(125,1),(128,1),(161,1),(166,1)}
       150:{1,5,6}:{(126,1),(127,1),(167,1),(207,1)}
       151:{2,3,6}:{(129,1),(130,1),(169,1),(174,1)}
       152:{1,2,5}:{(130,1),(131,1),(169,1),(172,1)}
       153:{1,4,5}:{(131,1),(135,1),(171,1),(177,1)}
       154:{2,4,6}:{(132,1),(133,1),(138,1),(172,1)}
       155:{2,3,5,6}:{(133,1),(134,1),(139,1),(143,1),(169,1),(172,1),(173,1),(174,1),(178,1),(198,1),(201,1)}
       156:{1,2,4,6}:{(134,1),(135,1),(144,1),(170,1),(173,1),(174,1),(175,1),(199,1),(200,1)}
       157:{3,4,6}:{(135,1),(140,1),(145,1),(171,1),(174,1),(175,1)}
       158:{1,4,6}:{(136,1),(137,1),(138,1),(176,1)}
       159:{3,5}:{(138,1),(172,1),(176,1),(177,1)}
       160:{4,6}:{(139,1),(148,1),(177,1)}
       161:{2,5,6}:{(140,1),(149,1),(175,1)}
       162:{2,6}:{(141,1),(146,1)}
       163:{2,5,7}:{(142,1),(147,1),(172,1),(178,1)}
       164:{2,4,7}:{(143,1),(148,1),(173,1),(180,1)}
       165:{3,7}:{(144,1),(174,1)}
       166:{2,4,7}:{(145,1),(149,1),(175,1),(182,1)}
       167:{3,5,6}:{(146,1),(147,1),(150,1),(178,1),(183,1),(201,1)}
       168:{4,5,7}:{(147,1),(148,1),(177,1),(183,1)}
       169:{2,3,5}:{(151,1),(152,1),(184,1),(185,1)}
       170:{1,2,4,5}:{(152,1),(153,1),(156,1),(184,1),(185,1),(186,1),(187,1),(203,1),(205,1),(206,1)}
       171:{3,4,5}:{(153,1),(157,1),(185,1),(186,1)}
       172:{2,5}:{(154,1),(159,1)}
       173:{2,4,6}:{(155,1),(160,1),(164,1),(184,1),(187,1),(188,1)}
       174:{3,6}:{(156,1),(165,1),(185,1)}
       175:{2,4,6}:{(157,1),(161,1),(166,1),(186,1),(190,1)}
       176:{1,5}:{(158,1),(159,1)}
       177:{4,5}:{(159,1),(160,1)}
       178:{2,5,6}:{(162,1),(163,1),(167,1),(191,1)}
       179:{2,4,5,7}:{(163,1),(164,1),(168,1),(187,1),(191,1),(192,1)}
       180:{3,4,7}:{(164,1),(165,1),(188,1),(192,1),(193,1)}
       181:{1,3,7}:{(165,1),(189,1),(193,1),(194,1)}
       182:{2,3,7}:{(165,1),(166,1),(190,1),(194,1)}
       183:{4,6}:{(167,1),(168,1)}
       184:{2,4}:{(169,1),(195,1)}
       185:{3,5}:{(170,1),(174,1),(195,1)}
       186:{2,4,5}:{(171,1),(175,1),(197,1)}
       187:{2,4,5}:{(172,1),(173,1),(177,1),(198,1)}
       188:{3,4,6}:{(173,1),(174,1),(180,1),(195,1),(198,1),(199,1),(201,1)}
       189:{1,3,6}:{(174,1),(181,1),(196,1),(199,1),(200,1)}
       190:{2,3,6}:{(174,1),(175,1),(182,1),(197,1),(200,1)}
       191:{2,4,6}:{(178,1),(179,1),(183,1),(201,1)}
       192:{3,5,7}:{(179,1),(180,1),(198,1),(201,1),(202,1)}
       193:{1,4,7}:{(180,1),(181,1),(199,1),(202,1)}
       194:{1,2,7}:{(181,1),(182,1),(200,1)}
       195:{3,4}:{(184,1),(185,1),(203,1)}
       196:{1,3,5}:{(185,1),(189,1),(203,1),(205,1),(206,1),(209,1)}
       197:{2,3,5}:{(185,1),(186,1),(190,1),(204,1),(205,1)}
       198:{3,5}:{(187,1),(188,1),(206,1)}
       199:{1,4,6}:{(188,1),(189,1),(193,1),(203,1),(206,1),(207,1)}
       200:{1,2,6}:{(189,1),(190,1),(194,1),(205,1)}
       201:{3,6}:{(191,1),(192,1),(207,1)}
       202:{1,5,7}:{(192,1),(193,1),(206,1),(207,1)}
       203:{1,4}:{(195,1),(196,1)}
       204:{2,3,4}:{(195,1),(197,1),(208,1)}
       205:{1,2,5}:{(196,1),(197,1),(200,1),(208,1)}
       206:{1,5}:{(198,1),(199,1)}
       207:{1,6}:{(201,1),(202,1)}
       208:{1,2,4}:{(203,1),(204,1),(205,1),(209,1)}
       209:{1,3}:{(208,1)}

 414 :   0:{2,4,5,7}:{(2,1),(3,1),(5,1),(14,1),(21,1),(37,1),(38,1)}
         1:{2,4,6,7}:{(3,1),(4,1),(5,1),(21,1)}
         2:{3,5,7}:{(0,1),(6,1),(7,1),(9,1),(26,1)}
         3:{2,4,6}:{(0,1),(9,1),(10,1),(30,1)}
         4:{3,6,7}:{(1,1),(9,1),(11,1),(12,1)}
         5:{2,5,7}:{(1,1),(10,1),(12,1),(53,1)}
         6:{3,4,7}:{(2,1),(13,1),(14,1),(15,1),(21,1),(34,1),(42,1)}
         7:{1,5,7}:{(2,1),(13,1),(17,1),(36,1)}
         8:{2,3,5,7}:{(2,1),(14,1),(16,1),(18,1),(34,1),(37,1),(60,1)}
         9:{3,6}:{(2,1),(3,1),(17,1)}
        10:{2,5,6}:{(3,1),(5,1),(19,1),(37,1),(64,1)}
        11:{1,6,7}:{(4,1),(17,1),(20,1)}
        12:{3,5,7}:{(4,1),(5,1),(19,1),(20,1),(21,1),(42,1)}
        13:{1,4,7}:{(6,1),(7,1),(22,1),(24,1)}
        14:{2,4,7}:{(6,1),(8,1),(25,1),(53,1),(72,1)}
        15:{3,4,6}:{(6,1),(9,1),(24,1),(25,1),(26,1),(30,1),(47,1),(52,1),(69,1),(72,1)}
        16:{1,2,5,7}:{(7,1),(8,1),(23,1),(27,1),(28,1),(48,1),(65,1)}
        17:{1,6}:{(7,1),(9,1)}
        18:{2,3,6}:{(8,1),(9,1),(25,1),(28,1),(47,1),(90,1)}
        19:{3,5,6}:{(9,1),(10,1),(12,1),(26,1),(29,1),(30,1),(52,1)}
        20:{1,5,7}:{(11,1),(12,1),(29,1),(31,1)}
        21:{4,7}:{(12,1),(30,1)}
        22:{1,3,7}:{(13,1),(32,1),(33,1),(34,1),(42,1)}
        23:{1,2,4,7}:{(13,1),(14,1),(16,1),(32,1),(34,1),(35,1),(39,1),(54,1)}
        24:{1,4,6}:{(13,1),(15,1),(17,1),(33,1),(36,1),(57,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(37,1),(64,1),(80,1)}
        26:{3,5}:{(15,1),(36,1),(37,1),(38,1)}
        27:{1,3,5,7}:{(16,1),(34,1),(39,1),(40,1),(58,1),(60,1),(63,1)}
        28:{1,2,6}:{(16,1),(17,1),(18,1),(40,1),(76,1),(97,1)}
        29:{1,5,6}:{(17,1),(19,1),(20,1),(36,1),(41,1)}
        30:{4,6}:{(19,1),(21,1),(38,1)}
        31:{1,4,7}:{(20,1),(21,1),(41,1),(42,1)}
        32:{1,2,7}:{(22,1),(43,1),(44,1),(53,1),(104,1)}
        33:{1,3,6}:{(22,1),(24,1),(44,1),(45,1),(47,1),(52,1)}
        34:{3,7}:{(23,1),(47,1)}
        35:{1,2,4,6}:{(23,1),(24,1),(25,1),(28,1),(44,1),(47,1),(48,1),(51,1),(66,1),(68,1),(72,1)}
        36:{1,5}:{(24,1),(26,1)}
        37:{2,5}:{(25,1),(26,1)}
        38:{4,5}:{(26,1),(30,1),(72,1)}
        39:{1,4,7}:{(27,1),(46,1),(51,1),(72,1),(104,1)}
        40:{1,3,6}:{(27,1),(28,1),(47,1),(51,1),(70,1),(89,1)}
        41:{1,4,6}:{(29,1),(30,1),(31,1),(49,1),(52,1)}
        42:{3,7}:{(31,1),(52,1),(53,1)}
        43:{2,3,7}:{(32,1),(34,1),(54,1),(55,1),(102,1)}
        44:{1,2,6}:{(32,1),(33,1),(55,1),(56,1),(64,1),(103,1)}
        45:{1,3,5}:{(33,1),(36,1),(56,1),(57,1),(60,1),(61,1),(79,1)}
        46:{3,4,7}:{(34,1),(39,1),(54,1),(58,1),(59,1),(98,1),(102,1)}
        47:{3,6}:{(34,1),(35,1),(60,1),(79,1)}
        48:{1,2,5}:{(35,1),(36,1),(37,1),(60,1),(63,1),(77,1)}
        49:{1,4,5}:{(36,1),(38,1),(41,1),(57,1),(61,1)}
        50:{1,4,5,7}:{(39,1),(58,1),(62,1),(63,1),(83,1),(84,1),(98,1)}
        51:{1,4,6}:{(39,1),(40,1),(59,1),(63,1),(96,1),(103,1)}
        52:{3,6}:{(41,1),(42,1),(61,1),(64,1)}
        53:{2,7}:{(42,1),(64,1)}
        54:{2,4,7}:{(43,1),(46,1),(65,1),(66,1)}
        55:{2,3,6}:{(43,1),(44,1),(47,1),(66,1),(67,1),(100,1)}
        56:{1,2,5}:{(44,1),(45,1),(67,1),(68,1),(73,1),(101,1)}
        57:{1,4}:{(45,1),(69,1),(72,1)}
        58:{3,5,7}:{(46,1),(50,1),(65,1),(70,1),(71,1)}
        59:{3,4,6}:{(46,1),(47,1),(51,1),(66,1),(70,1),(71,1),(72,1),(88,1),(92,1),(100,1)}
        60:{3,5}:{(47,1),(48,1),(72,1)}
        61:{3,5}:{(49,1),(52,1),(69,1),(73,1)}
        62:{1,4,6}:{(50,1),(70,1),(75,1),(92,1)}
        63:{1,5}:{(51,1),(71,1)}
        64:{2,6}:{(52,1),(53,1),(73,1)}
        65:{2,5,7}:{(54,1),(58,1),(76,1),(77,1)}
        66:{2,4,6}:{(54,1),(55,1),(59,1),(76,1),(77,1),(78,1)}
        67:{2,3,5}:{(55,1),(56,1),(60,1),(77,1),(78,1),(79,1),(95,1)}
        68:{1,2,4}:{(56,1),(57,1),(78,1),(79,1),(80,1),(96,1),(97,1)}
        69:{3,4}:{(57,1),(61,1),(79,1),(80,1)}
        70:{3,6}:{(58,1),(62,1),(76,1)}
        71:{3,5}:{(59,1),(63,1),(77,1),(83,1)}
        72:{4}:{(60,1)}
        73:{2,5}:{(61,1),(64,1),(80,1)}
        74:{1,4,6,7}:{(62,1),(81,1),(84,1),(98,1)}
        75:{1,5,6}:{(62,1),(63,1),(82,1),(84,1),(103,1)}
        76:{2,6}:{(65,1),(70,1)}
        77:{2,5}:{(66,1),(71,1)}
        78:{2,4}:{(67,1),(72,1),(88,1)}
        79:{3}:{(68,1)}
        80:{2,4}:{(69,1),(73,1),(90,1)}
        81:{3,6,7}:{(70,1),(74,1),(85,1),(91,1)}
        82:{3,5,6}:{(70,1),(71,1),(75,1),(86,1),(91,1),(92,1),(100,1)}
        83:{4,5}:{(71,1),(72,1),(92,1)}
        84:{1,5,7}:{(74,1),(75,1),(91,1),(104,1)}
        85:{2,6,7}:{(76,1),(81,1),(93,1)}
        86:{2,5,6}:{(76,1),(77,1),(82,1),(93,1),(94,1)}
        87:{2,4,5}:{(77,1),(78,1),(83,1),(94,1),(95,1)}
        88:{3,4}:{(78,1),(79,1),(95,1),(96,1)}
        89:{1,3}:{(79,1),(96,1),(97,1)}
        90:{2,3}:{(79,1),(80,1),(97,1)}
        91:{3,5,7}:{(81,1),(82,1),(84,1),(93,1),(98,1),(102,1)}
        92:{4,6}:{(82,1),(83,1),(98,1)}
        93:{2,5,7}:{(85,1),(86,1),(91,1),(99,1)}
        94:{2,4,6}:{(86,1),(87,1),(92,1),(99,1),(100,1)}
        95:{3,5}:{(87,1),(88,1),(100,1),(101,1)}
        96:{1,4}:{(88,1),(89,1),(101,1)}
        97:{1,2}:{(89,1),(90,1)}
        98:{4,7}:{(91,1),(92,1)}
        99:{2,4,7}:{(93,1),(94,1),(98,1),(102,1)}
       100:{3,6}:{(94,1),(95,1),(102,1),(103,1)}
       101:{1,5}:{(95,1),(96,1),(103,1)}
       102:{3,7}:{(99,1),(100,1),(104,1)}
       103:{1,6}:{(100,1),(101,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 415 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(12,1),(17,1),(33,1),(35,1),(37,1),(44,1),(63,1),(65,1),(68,1),(71,1),(101,1),(103,1)}
         1:{3,5,7}:{(0,1),(3,1),(6,1),(22,1),(81,1),(88,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(8,1),(19,1),(20,1),(23,1),(29,1),(82,1),(85,1),(115,1),(116,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(11,1),(30,1),(44,1),(95,1)}
         4:{1,3,5,7}:{(1,1),(9,1),(12,1),(13,1),(30,1),(33,1),(61,1),(98,1),(103,1),(104,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(12,1),(14,1),(30,1),(35,1),(61,1),(99,1),(101,1),(105,1)}
         6:{3,6}:{(1,1),(2,1)}
         7:{1,2,4,6,7}:{(2,1),(15,1),(17,1),(32,1),(34,1),(38,1),(44,1),(71,1),(134,1)}
         8:{1,2,5,6}:{(2,1),(16,1),(17,1),(33,1),(35,1),(64,1),(67,1)}
         9:{1,4,7}:{(3,1),(4,1),(19,1),(78,1),(109,1)}
        10:{2,4,7}:{(3,1),(5,1),(20,1),(78,1),(110,1)}
        11:{3,4,6}:{(3,1),(6,1),(19,1),(20,1),(22,1),(29,1),(45,1),(78,1)}
        12:{1,2,5,7}:{(4,1),(5,1),(18,1),(23,1),(47,1),(114,1),(117,1)}
        13:{1,3,6}:{(4,1),(6,1),(19,1),(23,1),(45,1),(116,1)}
        14:{2,3,6}:{(5,1),(6,1),(20,1),(23,1),(45,1),(115,1)}
        15:{3,6,7}:{(6,1),(7,1),(28,1),(88,1),(137,1)}
        16:{3,5,6}:{(6,1),(8,1),(22,1),(28,1),(29,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(28,1),(48,1),(50,1),(136,1)}
        18:{1,2,4,7}:{(9,1),(10,1),(12,1),(30,1),(31,1),(122,1)}
        19:{1,4,6}:{(9,1),(11,1),(13,1),(33,1)}
        20:{2,4,6}:{(10,1),(11,1),(14,1),(35,1)}
        21:{3,4,6,7}:{(11,1),(15,1),(32,1),(34,1),(36,1),(44,1),(60,1),(70,1),(73,1),(75,1),(94,1),(100,1),(102,1),(119,1)}
        22:{3,5}:{(11,1),(33,1),(35,1),(37,1)}
        23:{1,2,6}:{(12,1),(13,1),(14,1)}
        24:{1,3,6,7}:{(13,1),(15,1),(32,1),(38,1),(40,1),(60,1),(100,1),(104,1),(123,1)}
        25:{1,3,5,6}:{(13,1),(16,1),(33,1),(39,1),(40,1),(41,1),(61,1),(64,1),(66,1),(72,1),(93,1),(98,1),(100,1),(123,1),(132,1),(138,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(34,1),(38,1),(42,1),(60,1),(102,1),(105,1),(124,1)}
        27:{2,3,5,6}:{(14,1),(16,1),(35,1),(39,1),(42,1),(43,1),(61,1),(67,1),(69,1),(72,1),(93,1),(99,1),(102,1),(124,1),(133,1),(138,1)}
        28:{3,5,7}:{(15,1),(16,1),(17,1),(44,1),(138,1)}
        29:{4,6}:{(16,1),(37,1),(44,1)}
        30:{3,7}:{(18,1),(45,1),(130,1)}
        31:{1,2,4,6}:{(18,1),(19,1),(20,1),(23,1),(45,1),(47,1),(78,1)}
        32:{1,4,6,7}:{(19,1),(21,1),(24,1),(48,1),(56,1),(82,1),(92,1),(116,1),(127,1)}
        33:{1,5}:{(19,1),(22,1)}
        34:{2,4,6,7}:{(20,1),(21,1),(26,1),(50,1),(58,1),(85,1),(91,1),(115,1),(128,1)}
        35:{2,5}:{(20,1),(22,1)}
        36:{3,5,7}:{(21,1),(22,1),(48,1),(50,1),(52,1),(53,1),(126,1)}
        37:{4,5}:{(22,1),(29,1),(78,1)}
        38:{1,2,6,7}:{(23,1),(24,1),(26,1),(54,1),(115,1),(116,1),(117,1),(131,1)}
        39:{1,2,5,6}:{(23,1),(25,1),(27,1),(47,1),(54,1),(55,1),(84,1),(87,1),(114,1),(115,1),(116,1),(131,1),(136,1)}
        40:{1,3,5,7}:{(24,1),(25,1),(28,1),(48,1),(54,1),(56,1),(77,1),(83,1),(88,1)}
        41:{1,4,6}:{(25,1),(29,1),(49,1),(56,1),(57,1),(78,1),(107,1),(109,1),(139,1)}
        42:{2,3,5,7}:{(26,1),(27,1),(28,1),(50,1),(54,1),(58,1),(77,1),(86,1),(88,1)}
        43:{2,4,6}:{(27,1),(29,1),(51,1),(58,1),(59,1),(78,1),(107,1),(110,1),(139,1)}
        44:{4,7}:{(28,1),(29,1),(139,1)}
        45:{3,6}:{(30,1),(31,1),(61,1)}
        46:{1,2,4,6,7}:{(31,1),(32,1),(34,1),(38,1),(60,1),(62,1),(71,1),(94,1),(96,1)}
        47:{1,2,5}:{(31,1),(33,1),(35,1),(61,1)}
        48:{1,5,7}:{(32,1),(33,1),(36,1),(64,1),(132,1)}
        49:{1,4,5}:{(33,1),(37,1),(41,1),(66,1),(118,1),(132,1)}
        50:{2,5,7}:{(34,1),(35,1),(36,1),(67,1),(133,1)}
        51:{2,4,5}:{(35,1),(37,1),(43,1),(69,1),(118,1),(133,1)}
        52:{3,5,6}:{(36,1),(64,1),(67,1),(70,1),(100,1),(102,1)}
        53:{4,5,7}:{(36,1),(37,1),(44,1),(70,1),(94,1),(118,1)}
        54:{1,2,5,7}:{(38,1),(39,1),(40,1),(42,1),(71,1),(101,1),(103,1)}
        55:{1,2,4,6}:{(39,1),(41,1),(43,1),(63,1),(71,1),(72,1),(74,1),(76,1),(106,1),(122,1)}
        56:{1,4,7}:{(40,1),(41,1),(44,1),(73,1),(94,1)}
        57:{3,4,6}:{(41,1),(66,1),(72,1),(73,1),(74,1),(95,1),(100,1)}
        58:{2,4,7}:{(42,1),(43,1),(44,1),(75,1),(94,1)}
        59:{3,4,6}:{(43,1),(69,1),(72,1),(75,1),(76,1),(95,1),(102,1)}
        60:{3,6,7}:{(45,1),(46,1),(77,1),(88,1),(111,1)}
        61:{3,5}:{(45,1),(47,1),(78,1)}
        62:{1,2,5,7}:{(46,1),(47,1),(48,1),(50,1),(77,1),(79,1)}
        63:{1,2,4,5}:{(47,1),(49,1),(51,1),(55,1),(78,1),(81,1),(84,1),(87,1),(109,1),(110,1),(114,1),(136,1),(139,1)}
        64:{1,5,6}:{(48,1),(52,1),(82,1),(116,1)}
        65:{1,4,5,7}:{(48,1),(49,1),(53,1),(56,1),(82,1),(83,1)}
        66:{3,5}:{(49,1),(57,1),(84,1)}
        67:{2,5,6}:{(50,1),(52,1),(85,1),(115,1)}
        68:{2,4,5,7}:{(50,1),(51,1),(53,1),(58,1),(85,1),(86,1)}
        69:{3,5}:{(51,1),(59,1),(87,1)}
        70:{4,6}:{(52,1),(53,1)}
        71:{1,2,4,7}:{(54,1),(55,1),(56,1),(58,1),(88,1),(91,1),(92,1),(117,1)}
        72:{3,6}:{(55,1),(81,1),(88,1),(130,1)}
        73:{3,4,7}:{(56,1),(57,1),(83,1),(88,1),(91,1)}
        74:{2,4,6}:{(57,1),(84,1),(90,1),(91,1),(110,1),(115,1)}
        75:{3,4,7}:{(58,1),(59,1),(86,1),(88,1),(92,1)}
        76:{1,4,6}:{(59,1),(87,1),(89,1),(92,1),(109,1),(116,1)}
        77:{3,5,7}:{(60,1),(61,1),(62,1),(93,1),(94,1)}
        78:{4}:{(61,1)}
        79:{1,2,5,6}:{(62,1),(64,1),(67,1),(93,1),(96,1),(132,1),(133,1)}
        80:{1,2,4,5,7}:{(62,1),(63,1),(65,1),(68,1),(71,1),(94,1),(96,1),(97,1),(101,1),(103,1),(118,1),(120,1),(121,1),(125,1),(132,1),(133,1)}
        81:{3,5}:{(63,1),(72,1),(95,1)}
        82:{1,4,6}:{(64,1),(65,1),(70,1),(100,1)}
        83:{3,5,7}:{(65,1),(66,1),(73,1),(100,1),(101,1)}
        84:{2,5}:{(66,1),(74,1)}
        85:{2,4,6}:{(67,1),(68,1),(70,1),(102,1)}
        86:{3,5,7}:{(68,1),(69,1),(75,1),(102,1),(103,1)}
        87:{1,5}:{(69,1),(76,1)}
        88:{3,7}:{(71,1),(72,1)}
        89:{1,3,6}:{(72,1),(76,1),(98,1),(104,1),(106,1)}
        90:{2,3,6}:{(72,1),(74,1),(99,1),(105,1),(106,1)}
        91:{2,4,7}:{(73,1),(74,1),(101,1),(105,1)}
        92:{1,4,7}:{(75,1),(76,1),(103,1),(104,1)}
        93:{3,5,6}:{(77,1),(79,1),(107,1),(111,1),(126,1)}
        94:{4,7}:{(77,1),(78,1),(107,1)}
        95:{3,4}:{(78,1),(81,1),(109,1),(110,1),(130,1),(139,1)}
        96:{1,2,4,6}:{(79,1),(80,1),(82,1),(85,1),(107,1),(111,1),(115,1),(116,1),(127,1),(128,1),(131,1)}
        97:{3,5,7}:{(80,1),(81,1),(88,1),(108,1),(111,1),(126,1)}
        98:{1,3,5}:{(81,1),(87,1),(89,1),(109,1),(114,1),(130,1)}
        99:{2,3,5}:{(81,1),(84,1),(90,1),(110,1),(114,1),(130,1)}
       100:{3,6}:{(82,1),(83,1),(115,1)}
       101:{2,5,7}:{(83,1),(84,1),(91,1),(115,1)}
       102:{3,6}:{(85,1),(86,1),(116,1)}
       103:{1,5,7}:{(86,1),(87,1),(92,1),(116,1)}
       104:{1,3,7}:{(88,1),(89,1),(92,1),(117,1)}
       105:{2,3,7}:{(88,1),(90,1),(91,1),(117,1)}
       106:{1,2,6}:{(89,1),(90,1),(114,1),(117,1)}
       107:{4,6}:{(93,1),(94,1),(118,1)}
       108:{3,4,7}:{(94,1),(95,1),(97,1),(119,1),(120,1),(121,1),(135,1)}
       109:{1,4}:{(95,1),(98,1)}
       110:{2,4}:{(95,1),(99,1)}
       111:{3,6}:{(96,1),(97,1)}
       112:{1,3,5,7}:{(97,1),(98,1),(103,1),(104,1),(120,1),(123,1),(125,1),(132,1),(135,1),(138,1)}
       113:{2,3,5,7}:{(97,1),(99,1),(101,1),(105,1),(121,1),(124,1),(125,1),(133,1),(135,1),(138,1)}
       114:{1,2,5}:{(98,1),(99,1),(106,1),(122,1)}
       115:{2,6}:{(100,1),(101,1)}
       116:{1,6}:{(102,1),(103,1)}
       117:{1,2,7}:{(104,1),(105,1),(106,1)}
       118:{4,5}:{(107,1),(126,1),(139,1)}
       119:{3,4,6}:{(107,1),(108,1),(111,1),(126,1),(127,1),(128,1),(137,1),(139,1)}
       120:{1,4,7}:{(108,1),(109,1),(112,1),(127,1),(139,1)}
       121:{2,4,7}:{(108,1),(110,1),(113,1),(128,1),(139,1)}
       122:{1,2,4}:{(109,1),(110,1),(114,1),(130,1)}
       123:{1,3,6}:{(111,1),(112,1),(116,1),(127,1),(131,1),(137,1)}
       124:{2,3,6}:{(111,1),(113,1),(115,1),(128,1),(131,1),(137,1)}
       125:{1,2,5,7}:{(112,1),(113,1),(114,1),(117,1),(129,1),(131,1),(136,1)}
       126:{3,5}:{(118,1),(119,1),(132,1),(133,1)}
       127:{1,4,6}:{(119,1),(120,1),(123,1),(132,1)}
       128:{2,4,6}:{(119,1),(121,1),(124,1),(133,1)}
       129:{1,2,4,7}:{(120,1),(121,1),(122,1),(125,1),(134,1),(135,1)}
       130:{3}:{(122,1)}
       131:{1,2,6}:{(123,1),(124,1),(125,1)}
       132:{1,5}:{(126,1),(127,1)}
       133:{2,5}:{(126,1),(128,1)}
       134:{1,2,4,6}:{(127,1),(128,1),(129,1),(131,1),(136,1),(137,1),(139,1)}
       135:{3,7}:{(129,1),(130,1),(137,1)}
       136:{1,2,5}:{(132,1),(133,1),(134,1),(138,1)}
       137:{3,6}:{(134,1),(135,1),(138,1)}
       138:{3,5}:{(136,1),(137,1),(139,1)}
       139:{4}:{(138,1)}

 416 :  0:{1,2,5,6}:{(2,1),(3,1),(4,1),(34,1),(35,1),(53,1),(54,1)}
        1:{1,2,4,5}:{(3,1),(5,1),(14,1),(18,1),(19,1),(23,1),(34,1),(35,1)}
        2:{3,5,6}:{(0,1),(6,1),(7,1),(9,1),(24,1),(47,1),(48,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(6,1),(9,1),(10,1),(26,1),(27,1),(31,1)}
        4:{1,2,5,7}:{(0,1),(7,1),(10,1),(11,1),(45,1),(46,1)}
        5:{3,5}:{(1,1),(8,1),(9,1)}
        6:{4,6}:{(2,1),(14,1),(16,1)}
        7:{3,5,7}:{(2,1),(4,1),(16,1),(17,1),(22,1),(41,1)}
        8:{3,4}:{(5,1),(18,1),(19,1),(42,1)}
        9:{3,6}:{(3,1),(5,1),(22,1)}
       10:{1,2,4,7}:{(3,1),(4,1),(16,1),(22,1),(39,1),(40,1),(43,1)}
       11:{1,2,6,7}:{(4,1),(17,1),(53,1),(54,1)}
       12:{1,3,5}:{(5,1),(18,1),(20,1),(23,1),(34,1),(42,1),(51,1)}
       13:{2,3,5}:{(5,1),(19,1),(21,1),(23,1),(35,1),(42,1),(51,1)}
       14:{4,5}:{(6,1),(24,1),(56,1)}
       15:{3,4,6}:{(6,1),(8,1),(9,1),(24,1),(26,1),(27,1),(28,1),(47,1),(49,1),(56,1),(61,1)}
       16:{4,7}:{(6,1),(7,1)}
       17:{3,6,7}:{(7,1),(11,1),(29,1),(47,1)}
       18:{1,4}:{(8,1),(12,1),(56,1)}
       19:{2,4}:{(8,1),(13,1),(56,1)}
       20:{1,3,6}:{(9,1),(12,1),(26,1),(31,1),(32,1),(49,1)}
       21:{2,3,6}:{(9,1),(13,1),(27,1),(31,1),(33,1),(49,1)}
       22:{3,7}:{(9,1),(10,1)}
       23:{1,2,5}:{(12,1),(13,1),(30,1),(31,1)}
       24:{3,5}:{(14,1),(15,1),(34,1),(35,1),(62,1)}
       25:{4,5,7}:{(14,1),(16,1),(36,1),(37,1),(41,1),(59,1),(62,1)}
       26:{1,4,6}:{(15,1),(18,1),(20,1),(34,1),(39,1),(53,1)}
       27:{2,4,6}:{(15,1),(19,1),(21,1),(35,1),(40,1),(54,1)}
       28:{3,4,7}:{(15,1),(16,1),(22,1),(36,1),(39,1),(40,1),(55,1),(59,1)}
       29:{4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
       30:{1,2,4}:{(18,1),(19,1),(23,1),(42,1)}
       31:{1,2,6}:{(20,1),(21,1),(23,1),(43,1)}
       32:{1,3,7}:{(20,1),(22,1),(39,1),(43,1),(55,1)}
       33:{2,3,7}:{(21,1),(22,1),(40,1),(43,1),(55,1)}
       34:{1,5}:{(24,1),(26,1)}
       35:{2,5}:{(24,1),(27,1)}
       36:{3,5,7}:{(24,1),(25,1),(28,1),(45,1),(46,1),(47,1)}
       37:{4,6}:{(25,1),(47,1),(48,1)}
       38:{1,2,4,6}:{(26,1),(27,1),(30,1),(31,1),(44,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       39:{1,4,7}:{(26,1),(28,1),(32,1),(45,1)}
       40:{2,4,7}:{(27,1),(28,1),(33,1),(46,1)}
       41:{5,7}:{(29,1),(48,1)}
       42:{3}:{(30,1)}
       43:{1,2,7}:{(31,1),(32,1),(33,1)}
       44:{1,2,5}:{(34,1),(35,1),(38,1),(51,1),(62,1)}
       45:{1,5,7}:{(34,1),(36,1),(39,1),(53,1)}
       46:{2,5,7}:{(35,1),(36,1),(40,1),(54,1)}
       47:{3,6}:{(36,1),(37,1),(53,1),(54,1)}
       48:{5,6}:{(37,1),(41,1),(62,1)}
       49:{3,6}:{(38,1),(42,1),(51,1),(55,1)}
       50:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(52,1),(55,1),(59,1)}
       51:{3,5}:{(44,1),(49,1),(56,1)}
       52:{1,2,5,7}:{(44,1),(45,1),(46,1),(50,1),(57,1),(58,1)}
       53:{1,6}:{(45,1),(47,1)}
       54:{2,6}:{(46,1),(47,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{4}:{(51,1)}
       57:{3,5,7}:{(51,1),(52,1),(55,1),(59,1),(60,1),(62,1)}
       58:{1,2,6}:{(52,1),(53,1),(54,1),(60,1)}
       59:{4,7}:{(56,1),(57,1),(61,1)}
       60:{3,6}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 417 :   0:{3,4,5,7}:{(1,1),(2,1),(3,1),(21,1),(22,1),(81,1),(114,1),(118,1),(126,1),(134,1),(137,1)}
         1:{1,4,5,7}:{(0,1),(5,1),(9,1),(42,1),(52,1),(87,1),(143,1),(155,1)}
         2:{2,4,5,7}:{(0,1),(6,1),(10,1),(43,1),(84,1),(94,1),(111,1),(147,1)}
         3:{3,4,6}:{(0,1),(9,1),(10,1),(11,1),(46,1),(106,1)}
         4:{1,3,4,7}:{(5,1),(12,1),(13,1),(45,1),(87,1),(146,1),(188,1),(193,1)}
         5:{1,3,5,7}:{(1,1),(4,1),(15,1),(16,1),(22,1),(29,1),(168,1),(181,1),(204,1)}
         6:{2,3,5,7}:{(2,1),(14,1),(17,1),(18,1),(22,1),(55,1),(140,1),(174,1),(206,1)}
         7:{3,4,6,7}:{(3,1),(19,1),(20,1),(21,1),(70,1),(71,1),(118,1),(126,1),(131,1),(132,1),(134,1)}
         8:{1,2,4,5,7}:{(1,1),(2,1),(15,1),(17,1),(22,1),(23,1),(58,1),(64,1),(72,1),(80,1),(113,1),(117,1),(119,1),(125,1),(127,1),(134,1),(137,1),(171,1),(179,1),(204,1),(206,1)}
         9:{1,4,6}:{(1,1),(3,1),(16,1),(24,1)}
        10:{2,4,6}:{(2,1),(3,1),(18,1),(25,1)}
        11:{3,5,6}:{(3,1),(21,1),(24,1),(25,1),(26,1)}
        12:{1,2,4,7}:{(4,1),(15,1),(27,1),(28,1),(58,1),(202,1)}
        13:{1,3,4,6}:{(4,1),(16,1),(28,1),(29,1),(61,1),(75,1),(121,1),(138,1),(176,1)}
        14:{2,3,4,7}:{(6,1),(30,1),(31,1),(45,1),(94,1),(154,1),(165,1),(198,1)}
        15:{1,2,5,7}:{(5,1),(12,1),(33,1),(34,1),(51,1),(190,1),(199,1)}
        16:{1,3,6}:{(5,1),(9,1),(34,1),(46,1),(208,1)}
        17:{1,2,5,7}:{(6,1),(30,1),(37,1),(38,1),(83,1),(166,1),(194,1)}
        18:{2,3,6}:{(6,1),(10,1),(38,1),(46,1),(209,1)}
        19:{1,4,6,7}:{(7,1),(9,1),(32,1),(42,1),(87,1),(155,1),(161,1)}
        20:{2,4,6,7}:{(7,1),(10,1),(36,1),(43,1),(94,1),(147,1),(160,1)}
        21:{3,5,7}:{(7,1),(11,1),(42,1),(43,1),(44,1)}
        22:{3,5,7}:{(8,1),(45,1),(46,1),(105,1),(110,1),(142,1),(146,1),(154,1)}
        23:{1,2,4,6}:{(8,1),(9,1),(10,1),(34,1),(38,1),(46,1),(47,1),(88,1),(95,1),(106,1),(191,1),(196,1),(208,1),(209,1)}
        24:{1,5,6}:{(9,1),(11,1),(42,1)}
        25:{2,5,6}:{(10,1),(11,1),(43,1)}
        26:{4,5,6}:{(11,1),(44,1),(106,1)}
        27:{2,3,7}:{(12,1),(50,1),(146,1),(207,1)}
        28:{1,2,4,6}:{(12,1),(13,1),(34,1),(50,1),(51,1),(88,1),(109,1)}
        29:{1,3,5}:{(13,1),(51,1),(52,1),(105,1),(110,1),(195,1)}
        30:{1,2,4,7}:{(14,1),(17,1),(53,1),(54,1),(64,1),(187,1)}
        31:{2,3,4,6}:{(14,1),(18,1),(54,1),(55,1),(67,1),(75,1),(129,1),(167,1),(184,1)}
        32:{1,3,6,7}:{(16,1),(19,1),(56,1),(57,1),(71,1),(131,1),(181,1)}
        33:{2,3,5,7}:{(15,1),(22,1),(27,1),(58,1),(59,1),(79,1),(119,1),(169,1),(182,1),(206,1)}
        34:{1,2,6}:{(15,1),(16,1),(59,1)}
        35:{1,3,5,6}:{(16,1),(24,1),(29,1),(57,1),(60,1),(61,1),(76,1),(77,1),(121,1)}
        36:{2,3,6,7}:{(18,1),(20,1),(62,1),(63,1),(71,1),(132,1),(174,1)}
        37:{1,3,5,7}:{(17,1),(22,1),(53,1),(64,1),(65,1),(112,1),(127,1),(139,1),(173,1),(204,1)}
        38:{1,2,6}:{(17,1),(18,1),(65,1)}
        39:{2,3,5,6}:{(18,1),(25,1),(55,1),(63,1),(66,1),(67,1),(76,1),(78,1),(129,1)}
        40:{3,5,6,7}:{(21,1),(68,1),(69,1),(70,1),(131,1),(132,1)}
        41:{1,2,4,6,7}:{(19,1),(20,1),(23,1),(56,1),(62,1),(71,1),(72,1),(115,1),(117,1),(123,1),(125,1),(134,1)}
        42:{1,5,7}:{(19,1),(21,1),(24,1)}
        43:{2,5,7}:{(20,1),(21,1),(25,1)}
        44:{4,5,7}:{(21,1),(26,1),(70,1),(134,1)}
        45:{3,4,7}:{(22,1),(58,1),(64,1),(75,1),(134,1),(138,1),(167,1)}
        46:{3,6}:{(22,1),(23,1)}
        47:{1,2,5,6}:{(23,1),(24,1),(25,1),(72,1),(76,1),(119,1),(127,1),(170,1),(178,1)}
        48:{1,4,5,6}:{(24,1),(26,1),(61,1),(73,1),(77,1)}
        49:{2,4,5,6}:{(25,1),(26,1),(67,1),(74,1),(78,1)}
        50:{2,3,6}:{(27,1),(28,1),(79,1),(121,1)}
        51:{1,2,5}:{(28,1),(29,1),(79,1),(119,1)}
        52:{1,4,5}:{(29,1),(61,1),(81,1),(137,1)}
        53:{1,3,7}:{(30,1),(82,1),(154,1),(201,1)}
        54:{1,2,4,6}:{(30,1),(31,1),(38,1),(82,1),(83,1),(95,1),(141,1)}
        55:{2,3,5}:{(31,1),(83,1),(84,1),(105,1),(142,1),(200,1)}
        56:{1,2,6,7}:{(32,1),(34,1),(85,1),(86,1),(160,1),(199,1),(208,1)}
        57:{1,3,5,7}:{(32,1),(35,1),(42,1),(86,1),(87,1),(102,1),(103,1),(146,1)}
        58:{2,4,7}:{(33,1),(45,1),(88,1),(109,1),(189,1)}
        59:{2,3,6}:{(33,1),(34,1),(46,1),(88,1),(209,1)}
        60:{1,2,5,6}:{(34,1),(35,1),(51,1),(86,1),(89,1),(90,1),(107,1),(195,1),(208,1)}
        61:{1,4,6}:{(35,1),(52,1),(87,1),(91,1),(106,1)}
        62:{1,2,6,7}:{(36,1),(38,1),(92,1),(93,1),(161,1),(194,1),(209,1)}
        63:{2,3,5,7}:{(36,1),(39,1),(43,1),(93,1),(94,1),(102,1),(104,1),(154,1)}
        64:{1,4,7}:{(37,1),(45,1),(95,1),(141,1),(164,1)}
        65:{1,3,6}:{(37,1),(38,1),(46,1),(95,1),(208,1)}
        66:{1,2,5,6}:{(38,1),(39,1),(83,1),(93,1),(96,1),(97,1),(108,1),(200,1),(209,1)}
        67:{2,4,6}:{(39,1),(84,1),(94,1),(98,1),(106,1)}
        68:{1,5,6,7}:{(40,1),(42,1),(99,1),(161,1)}
        69:{2,5,6,7}:{(40,1),(43,1),(100,1),(160,1)}
        70:{4,6,7}:{(40,1),(44,1)}
        71:{3,6,7}:{(41,1),(46,1),(102,1),(146,1),(154,1)}
        72:{1,2,5,7}:{(41,1),(42,1),(43,1),(47,1),(102,1),(144,1),(152,1)}
        73:{1,4,5,7}:{(42,1),(44,1),(48,1),(87,1),(99,1),(103,1)}
        74:{2,4,5,7}:{(43,1),(44,1),(49,1),(94,1),(100,1),(104,1)}
        75:{3,4,6}:{(45,1),(46,1),(88,1),(95,1),(105,1),(106,1)}
        76:{3,5,6}:{(46,1),(47,1),(102,1),(105,1),(106,1)}
        77:{3,5,6}:{(48,1),(91,1),(103,1),(107,1)}
        78:{3,5,6}:{(49,1),(98,1),(104,1),(108,1)}
        79:{2,3,5}:{(50,1),(51,1),(109,1),(110,1)}
        80:{1,2,4,5}:{(51,1),(52,1),(90,1),(109,1),(110,1),(111,1),(148,1),(164,1),(166,1),(195,1)}
        81:{3,4,5}:{(52,1),(91,1),(110,1),(111,1)}
        82:{1,3,6}:{(53,1),(54,1),(112,1),(129,1)}
        83:{1,2,5}:{(54,1),(55,1),(112,1),(127,1)}
        84:{2,4,5}:{(55,1),(67,1),(114,1),(137,1)}
        85:{2,3,6,7}:{(56,1),(59,1),(71,1),(115,1),(116,1),(182,1),(203,1)}
        86:{1,2,5,7}:{(56,1),(57,1),(60,1),(116,1),(117,1),(135,1),(204,1)}
        87:{1,4,7}:{(57,1),(61,1),(118,1),(134,1)}
        88:{2,4,6}:{(58,1),(59,1),(75,1),(119,1)}
        89:{2,3,5,6}:{(59,1),(60,1),(76,1),(79,1),(116,1),(119,1),(120,1),(121,1),(170,1),(175,1),(203,1)}
        90:{1,2,4,6}:{(60,1),(61,1),(80,1),(117,1),(120,1),(121,1),(122,1),(176,1),(177,1)}
        91:{3,4,6}:{(61,1),(77,1),(81,1),(118,1),(121,1),(122,1)}
        92:{1,3,6,7}:{(62,1),(65,1),(71,1),(123,1),(124,1),(173,1),(205,1)}
        93:{1,2,5,7}:{(62,1),(63,1),(66,1),(124,1),(125,1),(136,1),(206,1)}
        94:{2,4,7}:{(63,1),(67,1),(126,1),(134,1)}
        95:{1,4,6}:{(64,1),(65,1),(75,1),(127,1)}
        96:{1,3,5,6}:{(65,1),(66,1),(76,1),(112,1),(124,1),(127,1),(128,1),(129,1),(178,1),(183,1),(205,1)}
        97:{1,2,4,6}:{(66,1),(67,1),(113,1),(125,1),(128,1),(129,1),(130,1),(184,1),(185,1)}
        98:{3,4,6}:{(67,1),(78,1),(114,1),(126,1),(129,1),(130,1)}
        99:{1,4,6,7}:{(68,1),(70,1),(73,1),(131,1)}
       100:{2,4,6,7}:{(69,1),(70,1),(74,1),(132,1)}
       101:{3,4,6,7}:{(71,1),(75,1),(115,1),(123,1),(133,1),(134,1),(172,1),(180,1),(186,1),(203,1),(205,1)}
       102:{3,5,7}:{(71,1),(72,1),(76,1),(134,1)}
       103:{3,5,7}:{(73,1),(77,1),(118,1),(131,1),(135,1)}
       104:{3,5,7}:{(74,1),(78,1),(126,1),(132,1),(136,1)}
       105:{3,5}:{(75,1),(119,1),(127,1),(137,1)}
       106:{4,6}:{(76,1),(134,1),(137,1)}
       107:{2,5,6}:{(77,1),(122,1),(135,1)}
       108:{1,5,6}:{(78,1),(130,1),(136,1)}
       109:{2,4}:{(79,1),(138,1)}
       110:{3,5}:{(80,1),(121,1),(138,1)}
       111:{2,4,5}:{(81,1),(122,1),(140,1)}
       112:{1,3,5}:{(82,1),(83,1),(141,1),(142,1)}
       113:{1,2,4,5}:{(83,1),(84,1),(97,1),(141,1),(142,1),(143,1),(156,1),(189,1),(190,1),(200,1)}
       114:{3,4,5}:{(84,1),(98,1),(142,1),(143,1)}
       115:{2,4,6,7}:{(85,1),(88,1),(101,1),(144,1),(145,1),(191,1),(198,1),(209,1)}
       116:{2,3,5,7}:{(85,1),(86,1),(89,1),(102,1),(144,1),(145,1),(146,1),(192,1)}
       117:{1,2,4,7}:{(86,1),(87,1),(90,1),(145,1),(146,1),(147,1),(193,1),(194,1)}
       118:{3,4,7}:{(87,1),(91,1),(103,1),(146,1),(147,1)}
       119:{2,5}:{(88,1),(105,1)}
       120:{2,4,6}:{(89,1),(106,1),(109,1),(145,1),(148,1),(149,1)}
       121:{3,6}:{(90,1),(110,1),(146,1)}
       122:{2,4,6}:{(91,1),(107,1),(111,1),(147,1),(151,1)}
       123:{1,4,6,7}:{(92,1),(95,1),(101,1),(152,1),(153,1),(193,1),(196,1),(208,1)}
       124:{1,3,5,7}:{(92,1),(93,1),(96,1),(102,1),(152,1),(153,1),(154,1),(197,1)}
       125:{1,2,4,7}:{(93,1),(94,1),(97,1),(153,1),(154,1),(155,1),(198,1),(199,1)}
       126:{3,4,7}:{(94,1),(98,1),(104,1),(154,1),(155,1)}
       127:{1,5}:{(95,1),(105,1)}
       128:{1,4,6}:{(96,1),(106,1),(141,1),(153,1),(156,1),(157,1)}
       129:{3,6}:{(97,1),(142,1),(154,1)}
       130:{1,4,6}:{(98,1),(108,1),(143,1),(155,1),(158,1)}
       131:{3,6,7}:{(99,1),(103,1),(160,1)}
       132:{3,6,7}:{(100,1),(104,1),(161,1)}
       133:{3,5,7}:{(101,1),(105,1),(144,1),(152,1),(162,1),(163,1)}
       134:{4,7}:{(102,1),(106,1)}
       135:{2,5,7}:{(103,1),(107,1),(147,1),(160,1)}
       136:{1,5,7}:{(104,1),(108,1),(155,1),(161,1)}
       137:{4,5}:{(105,1),(106,1)}
       138:{3,4}:{(109,1),(110,1),(164,1)}
       139:{1,3,5}:{(110,1),(150,1),(164,1),(166,1),(195,1),(201,1)}
       140:{2,3,5}:{(110,1),(111,1),(151,1),(165,1),(166,1)}
       141:{1,4}:{(112,1),(167,1)}
       142:{3,5}:{(113,1),(129,1),(167,1)}
       143:{1,4,5}:{(114,1),(130,1),(168,1)}
       144:{2,5,7}:{(115,1),(119,1),(133,1),(170,1)}
       145:{2,4,7}:{(116,1),(120,1),(134,1),(172,1)}
       146:{3,7}:{(117,1),(121,1)}
       147:{2,4,7}:{(118,1),(122,1),(135,1),(174,1)}
       148:{2,4,5}:{(119,1),(120,1),(137,1),(175,1)}
       149:{3,4,6}:{(120,1),(121,1),(138,1),(172,1),(175,1),(176,1),(203,1)}
       150:{1,3,6}:{(121,1),(139,1),(173,1),(176,1),(177,1)}
       151:{2,3,6}:{(121,1),(122,1),(140,1),(174,1),(177,1)}
       152:{1,5,7}:{(123,1),(127,1),(133,1),(178,1)}
       153:{1,4,7}:{(124,1),(128,1),(134,1),(180,1)}
       154:{3,7}:{(125,1),(129,1)}
       155:{1,4,7}:{(126,1),(130,1),(136,1),(181,1)}
       156:{1,4,5}:{(127,1),(128,1),(137,1),(183,1)}
       157:{3,4,6}:{(128,1),(129,1),(167,1),(180,1),(183,1),(184,1),(205,1)}
       158:{1,3,6}:{(129,1),(130,1),(168,1),(181,1),(185,1)}
       159:{2,3,6}:{(129,1),(169,1),(182,1),(184,1),(185,1)}
       160:{2,6,7}:{(131,1),(135,1)}
       161:{1,6,7}:{(132,1),(136,1)}
       162:{3,5,6}:{(133,1),(170,1),(178,1),(186,1),(203,1),(205,1)}
       163:{4,5,7}:{(133,1),(134,1),(137,1),(186,1)}
       164:{1,4}:{(138,1),(139,1)}
       165:{2,3,4}:{(138,1),(140,1),(187,1)}
       166:{1,2,5}:{(139,1),(140,1),(177,1),(187,1)}
       167:{3,4}:{(141,1),(142,1),(189,1)}
       168:{1,3,5}:{(142,1),(143,1),(158,1),(188,1),(190,1)}
       169:{2,3,5}:{(142,1),(159,1),(189,1),(190,1),(200,1),(207,1)}
       170:{2,5,6}:{(144,1),(162,1),(191,1),(209,1)}
       171:{2,4,5,7}:{(144,1),(145,1),(148,1),(163,1),(191,1),(192,1)}
       172:{3,4,7}:{(145,1),(146,1),(149,1),(192,1),(193,1)}
       173:{1,3,7}:{(146,1),(150,1),(193,1),(194,1)}
       174:{2,3,7}:{(146,1),(147,1),(151,1),(194,1)}
       175:{3,5}:{(148,1),(149,1),(195,1)}
       176:{1,4,6}:{(149,1),(150,1),(164,1),(193,1),(195,1),(208,1)}
       177:{1,2,6}:{(150,1),(151,1),(166,1),(194,1)}
       178:{1,5,6}:{(152,1),(162,1),(196,1),(208,1)}
       179:{1,4,5,7}:{(152,1),(153,1),(156,1),(163,1),(196,1),(197,1)}
       180:{3,4,7}:{(153,1),(154,1),(157,1),(197,1),(198,1)}
       181:{1,3,7}:{(154,1),(155,1),(158,1),(199,1)}
       182:{2,3,7}:{(154,1),(159,1),(198,1),(199,1)}
       183:{3,5}:{(156,1),(157,1),(200,1)}
       184:{2,4,6}:{(157,1),(159,1),(189,1),(198,1),(200,1),(209,1)}
       185:{1,2,6}:{(158,1),(159,1),(190,1),(199,1)}
       186:{4,6}:{(162,1),(163,1)}
       187:{1,2,4}:{(164,1),(165,1),(166,1),(201,1)}
       188:{1,3,4}:{(167,1),(168,1),(202,1)}
       189:{2,4}:{(167,1),(169,1)}
       190:{1,2,5}:{(168,1),(169,1),(185,1),(202,1)}
       191:{2,4,6}:{(170,1),(171,1),(186,1),(203,1)}
       192:{3,5,7}:{(171,1),(172,1),(175,1),(203,1),(204,1)}
       193:{1,4,7}:{(172,1),(173,1),(176,1),(204,1)}
       194:{1,2,7}:{(173,1),(174,1),(177,1)}
       195:{1,5}:{(175,1),(176,1)}
       196:{1,4,6}:{(178,1),(179,1),(186,1),(205,1)}
       197:{3,5,7}:{(179,1),(180,1),(183,1),(205,1),(206,1)}
       198:{2,4,7}:{(180,1),(182,1),(184,1),(206,1)}
       199:{1,2,7}:{(181,1),(182,1),(185,1)}
       200:{2,5}:{(183,1),(184,1)}
       201:{1,3}:{(187,1)}
       202:{1,2,4}:{(188,1),(189,1),(190,1),(207,1)}
       203:{3,6}:{(191,1),(192,1),(208,1)}
       204:{1,5,7}:{(192,1),(193,1),(195,1),(208,1)}
       205:{3,6}:{(196,1),(197,1),(209,1)}
       206:{2,5,7}:{(197,1),(198,1),(200,1),(209,1)}
       207:{2,3}:{(202,1)}
       208:{1,6}:{(203,1),(204,1)}
       209:{2,6}:{(205,1),(206,1)}

 418 :  0:{3,4,5}:{(2,1),(3,1),(4,1),(28,1),(72,1)}
        1:{4,5,6}:{(9,1),(10,1),(63,1),(83,1)}
        2:{3,4,6}:{(0,1),(10,1),(11,1),(12,1),(13,1),(42,1),(63,1)}
        3:{1,4,5}:{(0,1),(6,1),(12,1)}
        4:{2,4,5}:{(0,1),(7,1),(13,1)}
        5:{1,3,4}:{(6,1),(15,1),(43,1)}
        6:{1,3,5}:{(3,1),(5,1),(17,1),(18,1),(28,1)}
        7:{2,3,5}:{(4,1),(16,1),(19,1),(20,1),(28,1)}
        8:{5,6,7}:{(21,1),(81,1)}
        9:{4,5,7}:{(1,1),(21,1),(22,1),(71,1),(81,1)}
       10:{3,5,6}:{(1,1),(2,1),(22,1),(23,1),(24,1)}
       11:{3,4,7}:{(2,1),(22,1),(25,1),(26,1),(55,1),(71,1)}
       12:{1,4,6}:{(2,1),(3,1),(17,1),(23,1),(25,1)}
       13:{2,4,6}:{(2,1),(4,1),(19,1),(24,1),(26,1)}
       14:{1,2,4,5}:{(3,1),(4,1),(18,1),(20,1),(27,1),(28,1),(47,1),(50,1),(67,1),(69,1),(72,1)}
       15:{1,2,4}:{(5,1),(18,1),(29,1),(47,1)}
       16:{2,3,4}:{(7,1),(30,1),(43,1)}
       17:{1,3,6}:{(6,1),(12,1),(31,1),(32,1),(42,1)}
       18:{1,2,5}:{(6,1),(15,1),(32,1),(33,1)}
       19:{2,3,6}:{(7,1),(13,1),(34,1),(35,1),(42,1)}
       20:{1,2,5}:{(7,1),(30,1),(35,1),(36,1)}
       21:{4,6,7}:{(8,1),(9,1),(37,1)}
       22:{3,5,7}:{(9,1),(10,1),(11,1),(37,1),(38,1),(39,1)}
       23:{1,5,6}:{(10,1),(12,1),(38,1)}
       24:{2,5,6}:{(10,1),(13,1),(39,1)}
       25:{1,4,7}:{(11,1),(12,1),(31,1),(38,1)}
       26:{2,4,7}:{(11,1),(13,1),(34,1),(39,1)}
       27:{1,2,4,6}:{(12,1),(13,1),(14,1),(32,1),(35,1),(40,1),(41,1),(42,1),(58,1),(60,1),(63,1)}
       28:{3,5}:{(14,1),(42,1),(43,1)}
       29:{2,3}:{(15,1)}
       30:{1,2,4}:{(16,1),(20,1),(44,1),(50,1)}
       31:{1,3,7}:{(17,1),(25,1),(45,1),(55,1)}
       32:{1,2,6}:{(17,1),(18,1),(45,1),(46,1)}
       33:{2,3,5}:{(18,1),(28,1),(29,1),(46,1),(47,1),(67,1)}
       34:{2,3,7}:{(19,1),(26,1),(48,1),(55,1)}
       35:{1,2,6}:{(19,1),(20,1),(48,1),(49,1)}
       36:{1,3,5}:{(20,1),(28,1),(44,1),(49,1),(50,1),(69,1)}
       37:{3,6,7}:{(21,1),(22,1),(51,1),(52,1)}
       38:{1,5,7}:{(22,1),(23,1),(25,1),(51,1)}
       39:{2,5,7}:{(22,1),(24,1),(26,1),(52,1)}
       40:{1,2,5,6}:{(23,1),(24,1),(27,1),(53,1),(54,1),(67,1),(69,1),(79,1),(80,1)}
       41:{1,2,4,7}:{(25,1),(26,1),(27,1),(45,1),(48,1),(53,1),(55,1),(66,1),(68,1),(71,1)}
       42:{3,6}:{(27,1),(28,1),(55,1)}
       43:{3,4}:{(28,1),(47,1),(50,1)}
       44:{1,3}:{(30,1)}
       45:{1,2,7}:{(31,1),(32,1),(57,1)}
       46:{2,3,6}:{(32,1),(33,1),(42,1),(57,1),(58,1)}
       47:{2,4}:{(33,1),(43,1)}
       48:{1,2,7}:{(34,1),(35,1),(59,1)}
       49:{1,3,6}:{(35,1),(36,1),(42,1),(59,1),(60,1)}
       50:{1,4}:{(36,1),(43,1)}
       51:{1,6,7}:{(37,1),(38,1)}
       52:{2,6,7}:{(37,1),(39,1)}
       53:{1,2,5,7}:{(38,1),(39,1),(40,1),(41,1),(61,1),(62,1),(74,1),(75,1)}
       54:{3,5,6}:{(40,1),(42,1),(62,1),(63,1),(65,1),(78,1),(83,1)}
       55:{3,7}:{(41,1),(42,1)}
       56:{3,4,6}:{(42,1),(43,1),(58,1),(60,1),(63,1),(64,1),(65,1),(78,1)}
       57:{2,3,7}:{(45,1),(46,1),(55,1),(66,1)}
       58:{2,4,6}:{(46,1),(47,1),(56,1),(66,1),(67,1),(79,1)}
       59:{1,3,7}:{(48,1),(49,1),(55,1),(68,1)}
       60:{1,4,6}:{(49,1),(50,1),(56,1),(68,1),(69,1),(80,1)}
       61:{1,2,6,7}:{(51,1),(52,1),(53,1),(70,1),(79,1),(80,1)}
       62:{3,5,7}:{(53,1),(54,1),(55,1),(70,1),(71,1),(81,1)}
       63:{4,6}:{(54,1),(71,1),(72,1)}
       64:{3,4,7}:{(55,1),(56,1),(66,1),(68,1),(71,1),(73,1)}
       65:{3,5}:{(56,1),(67,1),(69,1),(72,1)}
       66:{2,4,7}:{(57,1),(58,1),(64,1),(74,1)}
       67:{2,5}:{(58,1),(65,1)}
       68:{1,4,7}:{(59,1),(60,1),(64,1),(75,1)}
       69:{1,5}:{(60,1),(65,1)}
       70:{3,6,7}:{(61,1),(62,1),(76,1),(78,1)}
       71:{4,7}:{(62,1),(63,1)}
       72:{4,5}:{(63,1),(65,1)}
       73:{3,5,7}:{(64,1),(65,1),(74,1),(75,1),(77,1),(78,1)}
       74:{2,5,7}:{(66,1),(67,1),(73,1),(79,1)}
       75:{1,5,7}:{(68,1),(69,1),(73,1),(80,1)}
       76:{4,6,7}:{(70,1),(71,1),(81,1),(82,1)}
       77:{4,5,7}:{(71,1),(72,1),(73,1),(81,1),(82,1)}
       78:{3,6}:{(73,1),(79,1),(80,1),(82,1)}
       79:{2,6}:{(74,1),(78,1)}
       80:{1,6}:{(75,1),(78,1)}
       81:{5,7}:{(76,1),(83,1)}
       82:{4,6}:{(77,1),(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

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

 420 :  0:{5,6,7}:{(1,1),(58,1)}
        1:{4,6,7}:{(0,1),(3,1),(4,1)}
        2:{4,5,6}:{(3,1),(5,1),(49,1),(69,1)}
        3:{4,5,7}:{(1,1),(2,1),(7,1),(57,1),(58,1)}
        4:{3,6,7}:{(1,1),(7,1),(8,1),(9,1)}
        5:{3,5,6}:{(2,1),(7,1),(10,1),(11,1),(12,1)}
        6:{3,4,5}:{(10,1),(13,1),(14,1),(38,1),(62,1)}
        7:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(17,1),(18,1)}
        8:{1,6,7}:{(4,1),(17,1)}
        9:{2,6,7}:{(4,1),(18,1)}
       10:{3,4,6}:{(5,1),(6,1),(16,1),(20,1),(21,1),(48,1),(49,1)}
       11:{1,5,6}:{(5,1),(17,1),(20,1)}
       12:{2,5,6}:{(5,1),(18,1),(21,1)}
       13:{1,4,5}:{(6,1),(20,1),(23,1)}
       14:{2,4,5}:{(6,1),(21,1),(24,1)}
       15:{1,3,4}:{(23,1),(26,1),(52,1)}
       16:{3,4,7}:{(7,1),(10,1),(28,1),(29,1),(56,1),(57,1)}
       17:{1,5,7}:{(7,1),(8,1),(11,1),(28,1)}
       18:{2,5,7}:{(7,1),(9,1),(12,1),(29,1)}
       19:{1,2,6,7}:{(8,1),(9,1),(30,1),(31,1),(82,1),(83,1)}
       20:{1,4,6}:{(10,1),(11,1),(13,1),(28,1),(32,1)}
       21:{2,4,6}:{(10,1),(12,1),(14,1),(29,1),(33,1)}
       22:{1,2,5,6}:{(11,1),(12,1),(30,1),(34,1),(35,1),(77,1),(78,1),(82,1),(83,1)}
       23:{1,3,5}:{(13,1),(15,1),(32,1),(36,1),(38,1)}
       24:{2,3,5}:{(14,1),(27,1),(33,1),(37,1),(38,1)}
       25:{1,2,4,5}:{(13,1),(14,1),(34,1),(36,1),(37,1),(38,1),(62,1),(63,1),(64,1),(77,1),(78,1)}
       26:{1,2,4}:{(15,1),(36,1),(39,1),(63,1)}
       27:{2,3,4}:{(24,1),(40,1),(52,1)}
       28:{1,4,7}:{(16,1),(17,1),(20,1),(41,1)}
       29:{2,4,7}:{(16,1),(18,1),(21,1),(42,1)}
       30:{1,2,5,7}:{(17,1),(18,1),(19,1),(22,1),(43,1),(44,1),(79,1),(80,1)}
       31:{3,6,7}:{(19,1),(44,1),(45,1),(81,1)}
       32:{1,3,6}:{(20,1),(23,1),(41,1),(46,1),(48,1)}
       33:{2,3,6}:{(21,1),(24,1),(42,1),(47,1),(48,1)}
       34:{1,2,4,6}:{(20,1),(21,1),(22,1),(25,1),(43,1),(46,1),(47,1),(48,1),(49,1),(70,1),(71,1)}
       35:{3,5,6}:{(22,1),(44,1),(48,1),(49,1),(69,1),(72,1),(81,1)}
       36:{1,2,5}:{(23,1),(26,1),(46,1),(50,1)}
       37:{1,2,5}:{(24,1),(40,1),(47,1),(51,1)}
       38:{3,5}:{(25,1),(48,1),(52,1)}
       39:{2,3}:{(26,1)}
       40:{1,2,4}:{(27,1),(37,1),(53,1),(64,1)}
       41:{1,3,7}:{(28,1),(32,1),(54,1),(56,1)}
       42:{2,3,7}:{(29,1),(33,1),(55,1),(56,1)}
       43:{1,2,4,7}:{(28,1),(29,1),(30,1),(34,1),(54,1),(55,1),(56,1),(57,1),(73,1),(74,1)}
       44:{3,5,7}:{(30,1),(31,1),(35,1),(56,1),(57,1),(58,1)}
       45:{4,6,7}:{(31,1),(57,1),(58,1),(76,1)}
       46:{1,2,6}:{(32,1),(36,1),(54,1),(59,1)}
       47:{1,2,6}:{(33,1),(37,1),(55,1),(60,1)}
       48:{3,6}:{(34,1),(38,1),(56,1)}
       49:{4,6}:{(35,1),(57,1),(62,1)}
       50:{2,3,5}:{(36,1),(38,1),(39,1),(59,1),(63,1),(77,1)}
       51:{1,3,5}:{(37,1),(38,1),(53,1),(60,1),(64,1),(78,1)}
       52:{3,4}:{(38,1),(63,1),(64,1)}
       53:{1,3}:{(40,1)}
       54:{1,2,7}:{(41,1),(46,1),(65,1)}
       55:{1,2,7}:{(42,1),(47,1),(66,1)}
       56:{3,7}:{(43,1),(48,1)}
       57:{4,7}:{(44,1),(49,1)}
       58:{5,7}:{(45,1),(69,1)}
       59:{2,3,6}:{(46,1),(48,1),(50,1),(65,1),(70,1)}
       60:{1,3,6}:{(47,1),(48,1),(51,1),(66,1),(71,1)}
       61:{3,4,6}:{(48,1),(49,1),(52,1),(67,1),(70,1),(71,1),(72,1),(81,1)}
       62:{4,5}:{(49,1),(72,1)}
       63:{2,4}:{(50,1),(52,1)}
       64:{1,4}:{(51,1),(52,1)}
       65:{2,3,7}:{(54,1),(56,1),(59,1),(73,1)}
       66:{1,3,7}:{(55,1),(56,1),(60,1),(74,1)}
       67:{3,4,7}:{(56,1),(57,1),(61,1),(73,1),(74,1),(75,1)}
       68:{4,5,7}:{(57,1),(58,1),(62,1),(75,1),(76,1)}
       69:{5,6}:{(58,1),(76,1)}
       70:{2,4,6}:{(59,1),(61,1),(63,1),(73,1),(77,1),(82,1)}
       71:{1,4,6}:{(60,1),(61,1),(64,1),(74,1),(78,1),(83,1)}
       72:{3,5}:{(61,1),(62,1),(77,1),(78,1)}
       73:{2,4,7}:{(65,1),(67,1),(70,1),(79,1)}
       74:{1,4,7}:{(66,1),(67,1),(71,1),(80,1)}
       75:{3,5,7}:{(67,1),(68,1),(72,1),(79,1),(80,1),(81,1)}
       76:{4,6}:{(68,1),(69,1),(81,1)}
       77:{2,5}:{(70,1),(72,1)}
       78:{1,5}:{(71,1),(72,1)}
       79:{2,5,7}:{(73,1),(75,1),(77,1),(82,1)}
       80:{1,5,7}:{(74,1),(75,1),(78,1),(83,1)}
       81:{3,6}:{(75,1),(76,1),(82,1),(83,1)}
       82:{2,6}:{(79,1),(81,1)}
       83:{1,6}:{(80,1),(81,1)}

 421 :   0:{3,4,6,7}:{(2,1),(3,1),(4,1),(21,1),(22,1),(31,1),(57,1),(60,1),(61,1),(63,1),(115,1)}
         1:{1,3,6,7}:{(2,1),(5,1),(6,1),(22,1),(60,1),(112,1),(116,1)}
         2:{1,4,6,7}:{(0,1),(1,1),(10,1),(16,1),(37,1),(84,1),(88,1),(141,1)}
         3:{2,4,6,7}:{(0,1),(7,1),(11,1),(35,1),(38,1),(51,1),(87,1),(142,1)}
         4:{3,5,7}:{(0,1),(8,1),(10,1),(11,1),(12,1),(140,1)}
         5:{1,2,6,7}:{(1,1),(14,1),(15,1),(87,1),(139,1),(143,1),(149,1)}
         6:{1,3,5,7}:{(1,1),(10,1),(13,1),(15,1),(16,1),(40,1),(42,1),(50,1)}
         7:{2,3,6,7}:{(3,1),(17,1),(18,1),(22,1),(61,1),(76,1),(117,1)}
         8:{3,5,6}:{(4,1),(19,1),(20,1),(21,1),(60,1),(61,1)}
         9:{1,2,4,6,7}:{(2,1),(3,1),(5,1),(17,1),(22,1),(23,1),(28,1),(30,1),(54,1),(56,1),(59,1),(63,1),(160,1)}
        10:{1,5,7}:{(2,1),(4,1),(19,1),(158,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(159,1)}
        12:{4,5,7}:{(4,1),(21,1),(63,1),(114,1)}
        13:{1,3,5,6}:{(6,1),(19,1),(26,1),(27,1),(58,1),(60,1),(68,1),(70,1),(116,1),(123,1),(158,1),(172,1)}
        14:{2,3,6,7}:{(5,1),(22,1),(28,1),(29,1),(113,1),(117,1),(128,1)}
        15:{1,2,5,7}:{(5,1),(6,1),(26,1),(29,1),(30,1),(65,1),(129,1)}
        16:{1,4,7}:{(6,1),(27,1),(31,1),(63,1)}
        17:{1,2,6,7}:{(7,1),(33,1),(34,1),(88,1),(103,1),(143,1),(167,1)}
        18:{2,3,5,7}:{(7,1),(11,1),(32,1),(34,1),(35,1),(40,1),(43,1),(83,1)}
        19:{1,5,6}:{(8,1),(10,1),(37,1),(88,1)}
        20:{2,5,6}:{(8,1),(11,1),(38,1),(87,1)}
        21:{4,6}:{(8,1),(12,1)}
        22:{3,6,7}:{(9,1),(40,1),(50,1),(83,1),(86,1),(169,1)}
        23:{1,2,5,7}:{(9,1),(10,1),(11,1),(36,1),(40,1),(48,1),(81,1),(168,1)}
        24:{1,4,5,7}:{(10,1),(12,1),(16,1),(37,1),(42,1),(44,1)}
        25:{2,4,5,7}:{(11,1),(12,1),(35,1),(38,1),(43,1),(77,1)}
        26:{1,2,5,6}:{(13,1),(15,1),(45,1),(46,1),(87,1),(95,1),(143,1),(147,1),(148,1),(149,1),(168,1)}
        27:{1,4,6}:{(13,1),(16,1),(44,1),(47,1),(85,1),(145,1),(174,1)}
        28:{2,4,6,7}:{(14,1),(39,1),(48,1),(49,1),(100,1),(138,1),(142,1),(167,1)}
        29:{2,3,5,7}:{(14,1),(15,1),(40,1),(45,1),(48,1),(49,1),(50,1),(101,1)}
        30:{1,2,4,7}:{(15,1),(16,1),(46,1),(49,1),(50,1),(51,1),(102,1),(103,1)}
        31:{3,4,7}:{(16,1),(42,1),(47,1),(50,1),(51,1)}
        32:{2,3,5,6}:{(18,1),(20,1),(52,1),(53,1),(58,1),(61,1),(105,1),(107,1),(117,1),(152,1),(159,1),(172,1)}
        33:{1,3,6,7}:{(17,1),(22,1),(54,1),(55,1),(75,1),(116,1),(156,1)}
        34:{1,2,5,7}:{(17,1),(18,1),(52,1),(55,1),(56,1),(66,1),(157,1)}
        35:{2,4,7}:{(18,1),(53,1),(57,1),(63,1)}
        36:{1,2,5,6}:{(19,1),(20,1),(23,1),(58,1),(59,1),(72,1),(109,1),(158,1),(159,1)}
        37:{1,4,6}:{(19,1),(21,1),(24,1),(60,1)}
        38:{2,4,6}:{(20,1),(21,1),(25,1),(61,1)}
        39:{3,4,6,7}:{(22,1),(28,1),(54,1),(62,1),(63,1),(74,1),(111,1),(115,1),(118,1),(128,1),(156,1)}
        40:{3,5,7}:{(22,1),(23,1),(58,1),(63,1),(172,1)}
        41:{1,2,4,5,7}:{(23,1),(24,1),(25,1),(30,1),(56,1),(59,1),(63,1),(64,1),(65,1),(66,1),(67,1),(73,1),(104,1),(110,1),(114,1),(119,1),(120,1),(121,1),(129,1),(157,1),(158,1),(159,1)}
        42:{3,5,7}:{(24,1),(31,1),(60,1),(65,1),(68,1)}
        43:{3,5,7}:{(25,1),(57,1),(61,1),(66,1),(105,1)}
        44:{1,4,5}:{(27,1),(68,1),(114,1),(158,1)}
        45:{2,3,5,6}:{(26,1),(29,1),(58,1),(69,1),(70,1),(72,1),(117,1),(124,1),(125,1),(128,1),(159,1),(172,1)}
        46:{1,2,4,6}:{(26,1),(27,1),(30,1),(67,1),(69,1),(70,1),(71,1),(126,1),(127,1),(162,1)}
        47:{3,4,6}:{(27,1),(31,1),(60,1),(68,1),(70,1),(71,1),(122,1)}
        48:{2,5,7}:{(28,1),(62,1),(72,1),(159,1)}
        49:{2,4,7}:{(29,1),(63,1),(69,1),(74,1)}
        50:{3,7}:{(30,1),(70,1)}
        51:{2,4,7}:{(31,1),(65,1),(71,1),(76,1)}
        52:{1,2,5,6}:{(32,1),(34,1),(78,1),(79,1),(88,1),(131,1),(143,1),(165,1),(166,1),(167,1),(168,1)}
        53:{2,4,6}:{(32,1),(35,1),(77,1),(80,1),(85,1),(164,1),(174,1)}
        54:{1,4,6,7}:{(33,1),(39,1),(81,1),(82,1),(102,1),(136,1),(141,1),(149,1)}
        55:{1,3,5,7}:{(33,1),(34,1),(40,1),(78,1),(81,1),(82,1),(83,1),(137,1)}
        56:{1,2,4,7}:{(34,1),(35,1),(79,1),(82,1),(83,1),(84,1),(138,1),(139,1)}
        57:{3,4,7}:{(35,1),(43,1),(80,1),(83,1),(84,1)}
        58:{3,5,6}:{(36,1),(40,1),(85,1),(86,1),(140,1)}
        59:{1,2,4,6}:{(36,1),(37,1),(38,1),(41,1),(85,1),(86,1),(87,1),(88,1),(100,1),(136,1),(141,1),(142,1),(143,1),(149,1),(167,1)}
        60:{3,6}:{(37,1),(42,1),(87,1)}
        61:{3,6}:{(38,1),(43,1),(88,1)}
        62:{3,5,7}:{(39,1),(48,1),(81,1),(89,1),(90,1),(140,1)}
        63:{4,7}:{(40,1),(85,1),(174,1)}
        64:{3,5,7}:{(41,1),(50,1),(83,1),(86,1),(91,1),(94,1),(130,1),(140,1)}
        65:{2,5,7}:{(42,1),(51,1),(87,1),(95,1)}
        66:{1,5,7}:{(43,1),(84,1),(88,1),(131,1)}
        67:{1,2,4,5}:{(44,1),(46,1),(94,1),(95,1),(96,1),(145,1),(146,1),(147,1),(148,1),(168,1),(174,1)}
        68:{3,5}:{(44,1),(47,1),(95,1)}
        69:{2,4,6}:{(45,1),(49,1),(85,1),(96,1),(97,1),(146,1),(174,1)}
        70:{3,6}:{(46,1),(50,1),(94,1),(170,1)}
        71:{2,4,6}:{(47,1),(51,1),(87,1),(95,1),(99,1),(146,1)}
        72:{2,5,6}:{(48,1),(89,1),(100,1),(167,1)}
        73:{2,4,5,7}:{(48,1),(49,1),(90,1),(96,1),(100,1),(101,1)}
        74:{3,4,7}:{(49,1),(50,1),(97,1),(101,1),(102,1)}
        75:{1,3,7}:{(50,1),(98,1),(102,1),(103,1)}
        76:{2,3,7}:{(50,1),(51,1),(99,1),(103,1)}
        77:{2,4,5}:{(53,1),(105,1),(114,1),(159,1)}
        78:{1,3,5,6}:{(52,1),(55,1),(58,1),(106,1),(107,1),(109,1),(116,1),(151,1),(153,1),(156,1),(158,1),(172,1)}
        79:{1,2,4,6}:{(52,1),(53,1),(56,1),(104,1),(106,1),(107,1),(108,1),(154,1),(155,1),(171,1)}
        80:{3,4,6}:{(53,1),(57,1),(61,1),(105,1),(107,1),(108,1),(150,1)}
        81:{1,5,7}:{(54,1),(62,1),(109,1),(158,1)}
        82:{1,4,7}:{(55,1),(63,1),(106,1),(111,1)}
        83:{3,7}:{(56,1),(107,1)}
        84:{1,4,7}:{(57,1),(66,1),(108,1),(112,1)}
        85:{4,6}:{(58,1),(63,1),(114,1)}
        86:{3,6}:{(59,1),(64,1)}
        87:{2,6}:{(60,1),(65,1)}
        88:{1,6}:{(61,1),(66,1)}
        89:{3,5,6}:{(62,1),(72,1),(109,1),(118,1),(128,1),(156,1)}
        90:{4,5,7}:{(62,1),(63,1),(114,1),(118,1)}
        91:{3,4,7}:{(63,1),(64,1),(115,1),(119,1),(120,1),(122,1),(150,1),(161,1)}
        92:{1,3,5,7}:{(64,1),(66,1),(75,1),(112,1),(116,1),(119,1),(121,1),(123,1),(129,1),(151,1),(158,1),(161,1),(172,1)}
        93:{2,3,5,7}:{(64,1),(65,1),(76,1),(113,1),(117,1),(120,1),(121,1),(124,1),(152,1),(157,1),(159,1),(161,1),(172,1)}
        94:{3,5}:{(67,1),(70,1),(122,1)}
        95:{2,5}:{(68,1),(71,1)}
        96:{2,4,5}:{(69,1),(114,1),(125,1),(159,1)}
        97:{3,4,6}:{(69,1),(70,1),(74,1),(122,1),(125,1),(126,1),(128,1)}
        98:{1,3,6}:{(70,1),(75,1),(123,1),(126,1),(127,1)}
        99:{2,3,6}:{(70,1),(71,1),(76,1),(124,1),(127,1)}
       100:{2,4,6}:{(72,1),(73,1),(118,1),(128,1)}
       101:{3,5,7}:{(73,1),(74,1),(125,1),(128,1),(129,1)}
       102:{1,4,7}:{(74,1),(75,1),(126,1),(129,1)}
       103:{1,2,7}:{(75,1),(76,1),(127,1)}
       104:{1,2,4,5}:{(77,1),(79,1),(130,1),(131,1),(132,1),(163,1),(164,1),(165,1),(166,1),(168,1),(174,1)}
       105:{3,5}:{(77,1),(80,1),(131,1)}
       106:{1,4,6}:{(78,1),(82,1),(85,1),(132,1),(133,1),(163,1),(174,1)}
       107:{3,6}:{(79,1),(83,1),(130,1),(173,1)}
       108:{1,4,6}:{(80,1),(84,1),(88,1),(131,1),(134,1),(163,1)}
       109:{1,5,6}:{(81,1),(89,1),(136,1),(149,1)}
       110:{1,4,5,7}:{(81,1),(82,1),(90,1),(132,1),(136,1),(137,1)}
       111:{3,4,7}:{(82,1),(83,1),(133,1),(137,1),(138,1)}
       112:{1,3,7}:{(83,1),(84,1),(134,1),(139,1)}
       113:{2,3,7}:{(83,1),(135,1),(138,1),(139,1)}
       114:{4,5}:{(85,1),(140,1),(174,1)}
       115:{3,4,6}:{(85,1),(86,1),(91,1),(140,1),(141,1),(142,1),(169,1),(174,1)}
       116:{1,3,6}:{(86,1),(88,1),(92,1),(141,1),(143,1),(149,1),(169,1)}
       117:{2,3,6}:{(86,1),(87,1),(93,1),(142,1),(143,1),(167,1),(169,1)}
       118:{4,6}:{(89,1),(90,1)}
       119:{1,4,7}:{(91,1),(92,1),(141,1),(145,1),(163,1),(174,1)}
       120:{2,4,7}:{(91,1),(93,1),(142,1),(146,1),(164,1),(174,1)}
       121:{1,2,5,7}:{(92,1),(93,1),(103,1),(139,1),(143,1),(144,1),(147,1),(165,1),(168,1)}
       122:{3,4}:{(94,1),(145,1),(146,1),(170,1),(174,1)}
       123:{1,3,5}:{(94,1),(98,1),(145,1),(147,1),(148,1),(170,1)}
       124:{2,3,5}:{(94,1),(95,1),(99,1),(146,1),(147,1),(170,1)}
       125:{3,5}:{(96,1),(97,1),(148,1)}
       126:{1,4,6}:{(97,1),(98,1),(102,1),(145,1),(148,1),(149,1)}
       127:{1,2,6}:{(98,1),(99,1),(103,1),(147,1)}
       128:{3,6}:{(100,1),(101,1),(149,1)}
       129:{1,5,7}:{(101,1),(102,1),(148,1),(149,1)}
       130:{3,5}:{(104,1),(107,1),(150,1)}
       131:{1,5}:{(105,1),(108,1)}
       132:{1,4,5}:{(106,1),(114,1),(153,1),(158,1)}
       133:{3,4,6}:{(106,1),(107,1),(111,1),(150,1),(153,1),(154,1),(156,1)}
       134:{1,3,6}:{(107,1),(108,1),(112,1),(151,1),(155,1)}
       135:{2,3,6}:{(107,1),(113,1),(152,1),(154,1),(155,1)}
       136:{1,4,6}:{(109,1),(110,1),(118,1),(156,1)}
       137:{3,5,7}:{(110,1),(111,1),(153,1),(156,1),(157,1)}
       138:{2,4,7}:{(111,1),(113,1),(154,1),(157,1)}
       139:{1,2,7}:{(112,1),(113,1),(155,1)}
       140:{3,5}:{(114,1),(115,1),(158,1),(159,1)}
       141:{1,4,6}:{(115,1),(116,1),(119,1),(158,1)}
       142:{2,4,6}:{(115,1),(117,1),(120,1),(159,1)}
       143:{1,2,6}:{(116,1),(117,1),(121,1)}
       144:{1,2,4,7}:{(119,1),(120,1),(121,1),(160,1),(161,1),(162,1),(171,1)}
       145:{1,4}:{(122,1),(123,1)}
       146:{2,4}:{(122,1),(124,1)}
       147:{1,2,5}:{(123,1),(124,1),(127,1),(162,1)}
       148:{1,5}:{(125,1),(126,1)}
       149:{1,6}:{(128,1),(129,1)}
       150:{3,4}:{(130,1),(163,1),(164,1),(173,1),(174,1)}
       151:{1,3,5}:{(130,1),(131,1),(134,1),(163,1),(165,1),(173,1)}
       152:{2,3,5}:{(130,1),(135,1),(164,1),(165,1),(166,1),(173,1)}
       153:{3,5}:{(132,1),(133,1),(166,1)}
       154:{2,4,6}:{(133,1),(135,1),(138,1),(164,1),(166,1),(167,1)}
       155:{1,2,6}:{(134,1),(135,1),(139,1),(165,1)}
       156:{3,6}:{(136,1),(137,1),(167,1)}
       157:{2,5,7}:{(137,1),(138,1),(166,1),(167,1)}
       158:{1,5}:{(140,1),(141,1)}
       159:{2,5}:{(140,1),(142,1)}
       160:{1,2,4,6}:{(141,1),(142,1),(143,1),(144,1),(168,1),(169,1),(174,1)}
       161:{3,7}:{(144,1),(169,1),(170,1),(173,1)}
       162:{1,2,4}:{(145,1),(146,1),(147,1),(170,1)}
       163:{1,4}:{(150,1),(151,1)}
       164:{2,4}:{(150,1),(152,1)}
       165:{1,2,5}:{(151,1),(152,1),(155,1),(171,1)}
       166:{2,5}:{(153,1),(154,1)}
       167:{2,6}:{(156,1),(157,1)}
       168:{1,2,5}:{(158,1),(159,1),(160,1),(172,1)}
       169:{3,6}:{(160,1),(161,1),(172,1)}
       170:{3}:{(162,1)}
       171:{1,2,4}:{(163,1),(164,1),(165,1),(173,1)}
       172:{3,5}:{(168,1),(169,1),(174,1)}
       173:{3}:{(171,1)}
       174:{4}:{(172,1)}

 422 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(22,1),(42,1),(51,1),(87,1),(102,1)}
         1:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(32,1),(36,1),(77,1)}
         2:{1,3,5}:{(0,1),(7,1),(9,1),(34,1),(110,1),(127,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(27,1),(67,1),(76,1),(113,1),(205,1)}
         4:{1,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(14,1),(22,1),(42,1),(60,1),(107,1)}
         5:{1,4,5,6}:{(12,1),(14,1),(15,1),(60,1),(109,1)}
         6:{2,3,6}:{(1,1),(16,1),(17,1),(42,1)}
         7:{1,2,5}:{(1,1),(2,1),(16,1),(103,1)}
         8:{1,2,4,7}:{(1,1),(3,1),(17,1),(19,1),(52,1),(208,1)}
         9:{1,4,5}:{(2,1),(12,1),(20,1),(148,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(19,1),(21,1),(22,1),(56,1),(133,1),(197,1),(200,1)}
        11:{1,2,5,6}:{(4,1),(7,1),(23,1),(24,1),(25,1),(29,1),(36,1),(110,1),(153,1)}
        12:{1,4,6}:{(4,1),(9,1),(26,1),(27,1),(131,1)}
        13:{1,3,5,7}:{(4,1),(25,1),(27,1),(28,1),(30,1),(67,1),(71,1),(119,1)}
        14:{3,5,6}:{(5,1),(26,1),(29,1),(30,1)}
        15:{1,4,5,7}:{(5,1),(27,1),(30,1),(31,1),(71,1),(121,1)}
        16:{2,3,5}:{(6,1),(7,1),(32,1),(34,1)}
        17:{2,3,7}:{(6,1),(8,1),(67,1),(209,1)}
        18:{1,2,4,5}:{(7,1),(9,1),(24,1),(32,1),(34,1),(37,1),(61,1),(74,1),(78,1),(110,1)}
        19:{1,2,5,7}:{(7,1),(8,1),(10,1),(33,1),(36,1),(204,1),(207,1)}
        20:{3,4,5}:{(9,1),(26,1),(34,1),(37,1)}
        21:{1,4,5,7}:{(9,1),(10,1),(27,1),(38,1),(39,1),(71,1),(188,1),(192,1)}
        22:{1,3,6}:{(10,1),(36,1),(39,1),(81,1),(153,1)}
        23:{2,3,5,6}:{(11,1),(16,1),(40,1),(41,1),(42,1),(53,1),(85,1),(103,1),(107,1),(134,1),(135,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(18,1),(40,1),(42,1),(43,1),(45,1),(87,1),(90,1)}
        25:{1,2,5,7}:{(11,1),(13,1),(41,1),(43,1),(44,1),(48,1),(133,1)}
        26:{3,4,6}:{(12,1),(14,1),(20,1),(42,1),(45,1),(46,1)}
        27:{1,4,7}:{(12,1),(13,1),(46,1),(141,1)}
        28:{1,3,6,7}:{(13,1),(22,1),(44,1),(47,1),(49,1),(93,1),(197,1)}
        29:{2,5,6}:{(14,1),(45,1),(48,1)}
        30:{3,5,7}:{(14,1),(15,1),(46,1),(48,1),(49,1)}
        31:{1,4,6,7}:{(15,1),(49,1),(50,1),(98,1)}
        32:{2,4}:{(16,1),(51,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(19,1),(52,1),(53,1),(56,1),(103,1),(196,1),(198,1),(201,1)}
        34:{3,5}:{(18,1),(42,1),(51,1)}
        35:{1,2,4,5,7}:{(18,1),(19,1),(21,1),(43,1),(52,1),(56,1),(57,1),(58,1),(86,1),(94,1),(100,1),(103,1),(104,1),(133,1),(141,1),(146,1),(148,1),(172,1),(173,1),(178,1),(196,1)}
        36:{1,2,6}:{(19,1),(22,1),(53,1)}
        37:{2,4,5}:{(20,1),(45,1),(55,1)}
        38:{3,4,5,7}:{(20,1),(21,1),(46,1),(56,1),(58,1),(59,1),(96,1),(141,1),(148,1),(175,1),(180,1)}
        39:{1,4,6}:{(21,1),(22,1),(59,1),(60,1)}
        40:{2,4,6}:{(23,1),(32,1),(61,1),(62,1),(63,1),(131,1)}
        41:{2,3,5,7}:{(23,1),(25,1),(63,1),(64,1),(67,1),(111,1),(115,1),(119,1)}
        42:{3,6}:{(24,1),(34,1),(67,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(27,1),(63,1),(67,1),(69,1),(113,1),(116,1)}
        44:{1,2,6,7}:{(25,1),(28,1),(36,1),(64,1),(72,1),(153,1),(204,1)}
        45:{2,4,6}:{(26,1),(29,1),(37,1),(66,1),(69,1)}
        46:{3,4,7}:{(26,1),(27,1),(30,1),(67,1),(69,1)}
        47:{1,4,6,7}:{(27,1),(28,1),(39,1),(70,1),(71,1),(161,1),(188,1)}
        48:{2,5,7}:{(29,1),(30,1),(69,1),(72,1)}
        49:{3,6,7}:{(30,1),(31,1),(72,1)}
        50:{1,5,6,7}:{(31,1),(71,1),(73,1),(161,1)}
        51:{3,4}:{(32,1),(34,1),(74,1)}
        52:{2,4,7}:{(32,1),(33,1),(76,1),(77,1),(206,1)}
        53:{2,3,6}:{(33,1),(36,1),(77,1),(81,1),(203,1)}
        54:{1,3,5}:{(34,1),(65,1),(74,1),(78,1),(110,1),(123,1)}
        55:{2,3,5}:{(34,1),(37,1),(66,1),(75,1),(78,1)}
        56:{3,5,7}:{(34,1),(35,1),(67,1),(76,1),(81,1),(127,1),(186,1),(190,1)}
        57:{1,2,4,6}:{(35,1),(36,1),(39,1),(77,1),(81,1),(82,1),(83,1),(112,1),(125,1),(128,1),(131,1),(153,1),(184,1),(203,1)}
        58:{2,4,5,7}:{(37,1),(38,1),(69,1),(80,1),(83,1),(120,1),(159,1),(165,1)}
        59:{3,4,6}:{(38,1),(39,1),(81,1),(83,1),(84,1),(131,1)}
        60:{1,5,6}:{(39,1),(71,1),(84,1)}
        61:{2,4,5}:{(40,1),(85,1),(103,1),(148,1)}
        62:{3,4,6}:{(40,1),(42,1),(51,1),(85,1),(87,1),(88,1),(134,1)}
        63:{2,4,7}:{(40,1),(41,1),(88,1),(141,1)}
        64:{2,3,6,7}:{(41,1),(44,1),(53,1),(89,1),(93,1),(134,1),(198,1)}
        65:{1,3,6}:{(42,1),(54,1),(87,1),(90,1),(91,1)}
        66:{2,3,6}:{(42,1),(45,1),(55,1),(90,1),(92,1)}
        67:{3,7}:{(42,1),(43,1)}
        68:{1,2,4,6,7}:{(43,1),(44,1),(47,1),(57,1),(89,1),(93,1),(94,1),(95,1),(136,1),(138,1),(141,1),(173,1)}
        69:{2,4,7}:{(45,1),(46,1),(48,1),(92,1)}
        70:{3,4,6,7}:{(46,1),(47,1),(49,1),(59,1),(93,1),(95,1),(96,1),(98,1),(141,1),(143,1),(175,1)}
        71:{1,5,7}:{(47,1),(60,1),(96,1)}
        72:{2,6,7}:{(48,1),(49,1)}
        73:{3,5,6,7}:{(49,1),(50,1),(96,1),(97,1),(98,1),(143,1)}
        74:{1,4}:{(51,1),(54,1)}
        75:{2,3,4}:{(51,1),(55,1),(99,1)}
        76:{3,4,7}:{(51,1),(52,1),(56,1),(100,1),(102,1),(141,1),(199,1)}
        77:{2,4,6}:{(52,1),(53,1),(102,1),(103,1)}
        78:{1,2,5}:{(54,1),(55,1),(90,1),(99,1)}
        79:{1,3,5,7}:{(54,1),(56,1),(91,1),(100,1),(104,1),(105,1),(133,1),(144,1),(146,1),(177,1)}
        80:{2,3,5,7}:{(55,1),(56,1),(58,1),(92,1),(101,1),(104,1),(106,1),(147,1),(196,1)}
        81:{3,6}:{(56,1),(57,1)}
        82:{1,2,5,6}:{(57,1),(60,1),(94,1),(103,1),(107,1),(108,1),(135,1),(146,1),(170,1)}
        83:{2,4,6}:{(58,1),(59,1),(106,1),(108,1)}
        84:{3,5,6}:{(59,1),(60,1),(96,1),(108,1),(109,1)}
        85:{3,5}:{(61,1),(62,1),(110,1)}
        86:{2,4,5,7}:{(61,1),(63,1),(111,1),(112,1),(115,1),(156,1)}
        87:{1,4,6}:{(62,1),(65,1),(74,1),(110,1),(113,1),(153,1)}
        88:{3,4,7}:{(62,1),(63,1),(67,1),(111,1),(113,1)}
        89:{2,4,6,7}:{(63,1),(64,1),(77,1),(112,1),(114,1),(115,1),(187,1),(203,1)}
        90:{1,2,6}:{(65,1),(66,1),(78,1),(116,1)}
        91:{1,3,7}:{(65,1),(67,1),(113,1),(116,1)}
        92:{2,3,7}:{(66,1),(67,1),(69,1),(116,1)}
        93:{3,6,7}:{(67,1),(68,1),(81,1),(119,1),(186,1)}
        94:{1,2,5,7}:{(68,1),(71,1),(82,1),(115,1),(119,1),(120,1),(155,1)}
        95:{2,4,6,7}:{(69,1),(70,1),(72,1),(83,1),(118,1),(120,1),(159,1)}
        96:{3,5,7}:{(70,1),(71,1),(84,1),(120,1),(121,1)}
        97:{2,5,6,7}:{(72,1),(73,1),(120,1),(122,1)}
        98:{4,6,7}:{(73,1),(121,1)}
        99:{1,2,4}:{(74,1),(75,1),(78,1),(123,1)}
       100:{1,4,7}:{(74,1),(76,1),(79,1),(125,1),(189,1)}
       101:{2,3,4,7}:{(75,1),(76,1),(80,1),(124,1),(126,1),(159,1),(186,1),(187,1)}
       102:{3,4,6}:{(76,1),(77,1),(81,1),(125,1),(127,1),(131,1)}
       103:{2,5}:{(77,1),(127,1)}
       104:{1,2,5,7}:{(78,1),(79,1),(80,1),(116,1),(124,1),(128,1),(163,1)}
       105:{1,3,6}:{(79,1),(81,1),(125,1),(128,1),(153,1)}
       106:{2,3,6}:{(80,1),(81,1),(83,1),(128,1),(203,1)}
       107:{3,5,6}:{(81,1),(82,1),(119,1),(127,1),(131,1)}
       108:{2,5,6}:{(83,1),(84,1),(120,1)}
       109:{4,5,6}:{(84,1),(121,1),(131,1)}
       110:{1,5}:{(85,1),(87,1)}
       111:{3,5,7}:{(85,1),(86,1),(88,1),(133,1),(134,1)}
       112:{2,4,6}:{(86,1),(134,1),(135,1),(171,1)}
       113:{1,4,7}:{(87,1),(88,1),(91,1),(133,1)}
       114:{3,4,6,7}:{(88,1),(89,1),(93,1),(102,1),(134,1),(136,1),(137,1),(141,1),(171,1),(174,1),(195,1)}
       115:{2,5,7}:{(89,1),(103,1),(135,1),(137,1)}
       116:{1,2,7}:{(90,1),(91,1),(92,1)}
       117:{1,3,6,7}:{(91,1),(93,1),(105,1),(136,1),(138,1),(139,1),(195,1)}
       118:{2,3,6,7}:{(92,1),(93,1),(95,1),(106,1),(138,1),(140,1),(143,1)}
       119:{3,5,7}:{(93,1),(94,1),(107,1),(141,1)}
       120:{2,5,7}:{(95,1),(96,1),(108,1)}
       121:{4,5,7}:{(96,1),(98,1),(109,1),(141,1)}
       122:{2,4,6,7}:{(97,1),(98,1),(142,1),(143,1)}
       123:{1,3}:{(99,1)}
       124:{1,2,4,7}:{(99,1),(100,1),(101,1),(104,1),(144,1),(145,1)}
       125:{1,4,6}:{(100,1),(102,1),(105,1),(146,1)}
       126:{2,3,4,6}:{(101,1),(102,1),(106,1),(145,1),(147,1),(151,1),(181,1),(182,1),(199,1)}
       127:{3,5}:{(102,1),(103,1),(146,1),(148,1)}
       128:{1,2,6}:{(104,1),(105,1),(106,1)}
       129:{1,3,5,6}:{(105,1),(107,1),(139,1),(146,1),(149,1),(150,1),(170,1),(177,1),(179,1),(181,1),(195,1)}
       130:{2,3,5,6}:{(106,1),(107,1),(108,1),(140,1),(147,1),(149,1),(151,1),(152,1),(181,1)}
       131:{4,6}:{(107,1),(141,1),(148,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(142,1),(151,1),(152,1)}
       133:{1,5,7}:{(110,1),(111,1),(113,1),(153,1)}
       134:{3,6}:{(111,1),(112,1),(153,1)}
       135:{2,5,6}:{(112,1),(115,1),(154,1),(203,1)}
       136:{1,4,6,7}:{(113,1),(114,1),(117,1),(125,1),(153,1),(155,1),(158,1),(184,1)}
       137:{3,5,7}:{(114,1),(115,1),(127,1),(154,1),(155,1),(156,1)}
       138:{1,2,6,7}:{(116,1),(117,1),(118,1),(128,1),(157,1),(161,1),(203,1)}
       139:{1,3,5,7}:{(117,1),(119,1),(129,1),(155,1),(157,1),(158,1),(185,1),(186,1)}
       140:{2,3,5,7}:{(118,1),(119,1),(120,1),(130,1),(157,1),(159,1),(160,1),(186,1)}
       141:{4,7}:{(119,1),(131,1)}
       142:{2,4,5,7}:{(120,1),(121,1),(122,1),(132,1),(159,1),(160,1)}
       143:{3,6,7}:{(122,1),(160,1),(161,1)}
       144:{1,3,7}:{(123,1),(124,1),(162,1),(186,1)}
       145:{1,2,4,6}:{(124,1),(125,1),(126,1),(128,1),(162,1),(163,1),(189,1)}
       146:{1,5}:{(125,1),(127,1)}
       147:{2,3,5}:{(126,1),(127,1),(163,1),(165,1),(190,1),(191,1)}
       148:{4,5}:{(127,1),(131,1)}
       149:{1,2,5,6}:{(128,1),(129,1),(130,1),(157,1),(163,1),(166,1),(169,1),(191,1),(203,1)}
       150:{1,4,6}:{(129,1),(131,1),(158,1),(164,1),(167,1),(189,1)}
       151:{2,4,6}:{(130,1),(131,1),(159,1),(165,1),(168,1)}
       152:{3,5,6}:{(132,1),(160,1),(168,1),(169,1)}
       153:{1,6}:{(133,1),(134,1)}
       154:{3,5,6}:{(134,1),(135,1),(137,1),(170,1),(171,1),(195,1)}
       155:{1,5,7}:{(136,1),(137,1),(146,1),(170,1)}
       156:{4,5,7}:{(137,1),(141,1),(148,1),(171,1)}
       157:{1,2,5,7}:{(138,1),(139,1),(140,1),(149,1),(173,1),(176,1),(196,1)}
       158:{1,4,7}:{(139,1),(141,1),(150,1),(174,1)}
       159:{2,4,7}:{(140,1),(141,1),(151,1),(175,1)}
       160:{3,5,7}:{(142,1),(143,1),(152,1),(175,1),(176,1)}
       161:{1,6,7}:{(143,1),(176,1)}
       162:{1,3,6}:{(144,1),(145,1),(177,1),(181,1)}
       163:{1,2,5}:{(145,1),(146,1),(147,1),(177,1)}
       164:{1,4,5}:{(146,1),(148,1),(150,1),(179,1)}
       165:{2,4,5}:{(147,1),(148,1),(151,1),(180,1)}
       166:{1,2,4,6}:{(149,1),(150,1),(151,1),(173,1),(178,1),(181,1),(182,1),(183,1),(202,1)}
       167:{3,4,6}:{(150,1),(174,1),(179,1),(181,1),(182,1),(195,1),(199,1)}
       168:{3,4,6}:{(151,1),(152,1),(175,1),(180,1),(181,1),(183,1)}
       169:{1,5,6}:{(152,1),(176,1),(183,1)}
       170:{1,5,6}:{(153,1),(154,1),(155,1),(184,1)}
       171:{4,6}:{(154,1),(156,1)}
       172:{1,4,5,7}:{(155,1),(156,1),(158,1),(164,1),(184,1),(185,1)}
       173:{1,2,4,7}:{(157,1),(158,1),(159,1),(166,1),(186,1),(187,1),(188,1),(204,1)}
       174:{3,4,7}:{(158,1),(167,1),(185,1),(186,1),(187,1)}
       175:{3,4,7}:{(159,1),(160,1),(168,1),(186,1),(188,1)}
       176:{1,5,7}:{(160,1),(161,1),(169,1),(188,1)}
       177:{1,3,5}:{(162,1),(163,1),(189,1),(190,1)}
       178:{1,2,4,5}:{(163,1),(164,1),(165,1),(166,1),(189,1),(190,1),(191,1),(192,1),(206,1),(207,1)}
       179:{3,5}:{(164,1),(167,1),(191,1)}
       180:{3,4,5}:{(165,1),(168,1),(190,1),(192,1)}
       181:{3,6}:{(166,1),(186,1),(190,1)}
       182:{2,4,6}:{(167,1),(187,1),(191,1),(194,1),(203,1),(206,1)}
       183:{1,4,6}:{(168,1),(169,1),(188,1),(192,1),(193,1)}
       184:{1,4,6}:{(170,1),(171,1),(172,1),(195,1)}
       185:{3,5,7}:{(172,1),(174,1),(179,1),(195,1),(196,1)}
       186:{3,7}:{(173,1),(181,1)}
       187:{2,4,7}:{(174,1),(182,1),(196,1),(198,1)}
       188:{1,4,7}:{(175,1),(176,1),(183,1),(197,1)}
       189:{1,4}:{(177,1),(199,1)}
       190:{3,5}:{(178,1),(181,1),(199,1)}
       191:{2,5}:{(179,1),(182,1)}
       192:{1,4,5}:{(180,1),(183,1),(200,1)}
       193:{1,3,6}:{(181,1),(183,1),(197,1),(200,1),(202,1)}
       194:{2,3,6}:{(181,1),(182,1),(198,1),(201,1),(202,1)}
       195:{3,6}:{(184,1),(185,1),(203,1)}
       196:{2,5,7}:{(185,1),(187,1),(191,1),(203,1)}
       197:{1,3,7}:{(186,1),(188,1),(193,1),(204,1)}
       198:{2,3,7}:{(186,1),(187,1),(194,1),(204,1)}
       199:{3,4}:{(189,1),(190,1),(206,1)}
       200:{1,3,5}:{(190,1),(192,1),(193,1),(205,1),(207,1)}
       201:{2,3,5}:{(190,1),(191,1),(194,1),(206,1),(207,1),(209,1)}
       202:{1,2,6}:{(193,1),(194,1),(204,1),(207,1)}
       203:{2,6}:{(195,1),(196,1)}
       204:{1,2,7}:{(197,1),(198,1),(202,1)}
       205:{1,3,4}:{(199,1),(200,1),(208,1)}
       206:{2,4}:{(199,1),(201,1)}
       207:{1,2,5}:{(200,1),(201,1),(202,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{2,3}:{(208,1)}

 423 :   0:{2,4,6,7}:{(1,1),(2,1),(9,1),(10,1)}
         1:{3,6,7}:{(0,1),(3,1),(4,1),(16,1)}
         2:{2,5,7}:{(0,1),(4,1),(5,1),(31,1)}
         3:{1,6,7}:{(1,1),(7,1),(25,1)}
         4:{3,5,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(20,1)}
         5:{2,5,6}:{(2,1),(8,1),(10,1),(40,1),(43,1)}
         6:{2,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(21,1),(24,1),(43,1)}
         7:{1,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{3,5,6}:{(4,1),(5,1),(12,1),(14,1),(16,1),(29,1),(32,1)}
         9:{4,7}:{(4,1),(14,1)}
        10:{2,4,6}:{(5,1),(6,1),(14,1),(16,1)}
        11:{3,5,7}:{(6,1),(15,1),(16,1),(17,1),(32,1)}
        12:{1,5,6}:{(7,1),(8,1),(19,1),(25,1),(42,1)}
        13:{1,4,7}:{(7,1),(9,1),(19,1),(20,1)}
        14:{4,6}:{(8,1),(9,1),(21,1)}
        15:{3,4,7}:{(9,1),(11,1),(20,1),(22,1),(23,1),(24,1),(45,1)}
        16:{3,6}:{(10,1),(11,1),(25,1)}
        17:{1,5,7}:{(11,1),(23,1),(25,1),(42,1)}
        18:{2,3,5,7}:{(11,1),(24,1),(26,1),(27,1),(43,1),(45,1),(63,1)}
        19:{1,4,6}:{(12,1),(13,1),(14,1),(28,1),(29,1)}
        20:{3,7}:{(13,1),(29,1),(31,1)}
        21:{4,5}:{(14,1),(32,1),(73,1)}
        22:{3,4,6}:{(14,1),(15,1),(16,1),(29,1),(32,1),(33,1),(34,1),(48,1),(54,1),(73,1)}
        23:{1,4,7}:{(15,1),(17,1),(30,1),(33,1)}
        24:{2,4,7}:{(15,1),(18,1),(31,1),(34,1),(73,1)}
        25:{1,6}:{(16,1),(17,1)}
        26:{2,3,6}:{(16,1),(18,1),(34,1),(36,1),(54,1),(68,1)}
        27:{1,2,5,7}:{(17,1),(18,1),(35,1),(36,1),(37,1),(53,1),(72,1)}
        28:{1,4,5}:{(19,1),(21,1),(38,1),(42,1),(58,1)}
        29:{3,6}:{(19,1),(20,1),(38,1),(40,1)}
        30:{1,3,7}:{(20,1),(23,1),(39,1),(41,1),(45,1)}
        31:{2,7}:{(20,1),(40,1)}
        32:{3,5}:{(21,1),(22,1),(42,1),(43,1)}
        33:{1,4,6}:{(22,1),(23,1),(25,1),(39,1),(42,1),(58,1)}
        34:{2,4,6}:{(22,1),(24,1),(26,1),(40,1),(43,1),(59,1)}
        35:{1,2,4,7}:{(23,1),(24,1),(27,1),(41,1),(44,1),(45,1),(47,1),(62,1)}
        36:{1,2,6}:{(25,1),(26,1),(27,1),(46,1),(78,1),(82,1)}
        37:{1,3,5,7}:{(27,1),(45,1),(46,1),(47,1),(63,1),(65,1),(66,1)}
        38:{3,5}:{(28,1),(29,1),(48,1),(50,1)}
        39:{1,3,6}:{(29,1),(30,1),(33,1),(49,1),(51,1),(54,1)}
        40:{2,6}:{(29,1),(31,1),(50,1)}
        41:{1,2,7}:{(30,1),(31,1),(51,1),(52,1),(104,1)}
        42:{1,5}:{(32,1),(33,1)}
        43:{2,5}:{(32,1),(34,1)}
        44:{1,2,4,6}:{(33,1),(34,1),(35,1),(36,1),(51,1),(53,1),(54,1),(56,1),(69,1),(71,1),(73,1)}
        45:{3,7}:{(35,1),(54,1)}
        46:{1,3,6}:{(36,1),(37,1),(54,1),(56,1),(75,1),(87,1)}
        47:{1,4,7}:{(37,1),(55,1),(56,1),(73,1),(104,1)}
        48:{3,4}:{(38,1),(58,1),(59,1),(79,1)}
        49:{1,3,5}:{(38,1),(39,1),(42,1),(58,1),(60,1),(63,1),(79,1)}
        50:{2,5}:{(38,1),(40,1),(59,1)}
        51:{1,2,6}:{(39,1),(40,1),(41,1),(60,1),(61,1),(102,1)}
        52:{2,3,7}:{(41,1),(45,1),(61,1),(62,1),(103,1)}
        53:{1,2,5}:{(42,1),(43,1),(44,1),(63,1),(66,1),(81,1)}
        54:{3,6}:{(44,1),(45,1),(63,1),(79,1)}
        55:{3,4,7}:{(45,1),(47,1),(62,1),(64,1),(65,1),(98,1),(103,1)}
        56:{1,4,6}:{(46,1),(47,1),(64,1),(66,1),(94,1),(102,1)}
        57:{1,4,5,7}:{(47,1),(65,1),(66,1),(67,1),(83,1),(86,1),(98,1)}
        58:{1,4}:{(48,1),(49,1),(73,1)}
        59:{2,4}:{(48,1),(50,1),(68,1)}
        60:{1,2,5}:{(49,1),(50,1),(51,1),(69,1),(70,1),(99,1)}
        61:{2,3,6}:{(51,1),(52,1),(54,1),(70,1),(71,1),(100,1)}
        62:{2,4,7}:{(52,1),(55,1),(71,1),(72,1)}
        63:{3,5}:{(53,1),(54,1),(73,1)}
        64:{3,4,6}:{(54,1),(55,1),(56,1),(71,1),(73,1),(74,1),(75,1),(88,1),(92,1),(100,1)}
        65:{3,5,7}:{(55,1),(57,1),(72,1),(74,1),(75,1)}
        66:{1,5}:{(56,1),(74,1)}
        67:{1,4,6}:{(57,1),(75,1),(76,1),(92,1)}
        68:{2,3}:{(59,1),(78,1),(79,1)}
        69:{1,2,4}:{(58,1),(59,1),(60,1),(78,1),(79,1),(80,1),(94,1)}
        70:{2,3,5}:{(60,1),(61,1),(63,1),(79,1),(80,1),(81,1),(95,1)}
        71:{2,4,6}:{(61,1),(62,1),(64,1),(80,1),(81,1),(82,1)}
        72:{2,5,7}:{(62,1),(65,1),(81,1),(82,1)}
        73:{4}:{(63,1)}
        74:{3,5}:{(64,1),(66,1),(81,1),(83,1)}
        75:{3,6}:{(65,1),(67,1),(82,1)}
        76:{1,5,6}:{(66,1),(67,1),(84,1),(86,1),(102,1)}
        77:{1,4,6,7}:{(67,1),(85,1),(86,1),(98,1)}
        78:{1,2}:{(68,1),(87,1)}
        79:{3}:{(69,1)}
        80:{2,4}:{(70,1),(73,1),(88,1)}
        81:{2,5}:{(71,1),(74,1)}
        82:{2,6}:{(72,1),(75,1)}
        83:{4,5}:{(73,1),(74,1),(92,1)}
        84:{3,5,6}:{(74,1),(75,1),(76,1),(90,1),(92,1),(93,1),(100,1)}
        85:{3,6,7}:{(75,1),(77,1),(91,1),(93,1)}
        86:{1,5,7}:{(76,1),(77,1),(93,1),(104,1)}
        87:{1,3}:{(78,1),(79,1),(94,1)}
        88:{3,4}:{(79,1),(80,1),(94,1),(95,1)}
        89:{2,4,5}:{(80,1),(81,1),(83,1),(95,1),(96,1)}
        90:{2,5,6}:{(81,1),(82,1),(84,1),(96,1),(97,1)}
        91:{2,6,7}:{(82,1),(85,1),(97,1)}
        92:{4,6}:{(83,1),(84,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(86,1),(97,1),(98,1),(103,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{3,5}:{(88,1),(89,1),(99,1),(100,1)}
        96:{2,4,6}:{(89,1),(90,1),(92,1),(100,1),(101,1)}
        97:{2,5,7}:{(90,1),(91,1),(93,1),(101,1)}
        98:{4,7}:{(92,1),(93,1)}
        99:{1,5}:{(94,1),(95,1),(102,1)}
       100:{3,6}:{(95,1),(96,1),(102,1),(103,1)}
       101:{2,4,7}:{(96,1),(97,1),(98,1),(103,1)}
       102:{1,6}:{(99,1),(100,1),(104,1)}
       103:{3,7}:{(100,1),(101,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 424 :   0:{3,4,6,7}:{(3,1),(4,1),(5,1),(25,1),(33,1),(39,1),(68,1),(71,1),(77,1),(79,1),(126,1)}
         1:{1,3,6,7}:{(3,1),(6,1),(8,1),(25,1),(77,1),(120,1),(130,1)}
         2:{1,3,5,6}:{(7,1),(8,1),(9,1),(28,1),(30,1),(38,1),(70,1),(75,1),(77,1),(130,1),(160,1),(172,1)}
         3:{1,4,6,7}:{(0,1),(1,1),(12,1),(21,1),(50,1),(96,1),(108,1),(146,1)}
         4:{2,4,6,7}:{(0,1),(10,1),(14,1),(44,1),(53,1),(62,1),(107,1),(147,1)}
         5:{3,5,7}:{(0,1),(12,1),(14,1),(15,1),(16,1),(145,1)}
         6:{1,2,6,7}:{(1,1),(17,1),(19,1),(107,1),(143,1),(150,1),(151,1)}
         7:{1,2,5,6}:{(2,1),(18,1),(19,1),(20,1),(52,1),(106,1),(107,1),(111,1),(150,1),(151,1),(169,1)}
         8:{1,3,5,7}:{(1,1),(2,1),(12,1),(19,1),(21,1),(46,1),(51,1),(59,1)}
         9:{1,4,6}:{(2,1),(13,1),(21,1),(22,1),(99,1),(101,1),(174,1)}
        10:{2,3,6,7}:{(4,1),(23,1),(24,1),(25,1),(79,1),(87,1),(131,1)}
        11:{1,2,4,6,7}:{(3,1),(4,1),(6,1),(23,1),(25,1),(26,1),(34,1),(37,1),(63,1),(66,1),(71,1),(73,1),(162,1)}
        12:{1,5,7}:{(3,1),(5,1),(28,1),(160,1)}
        13:{1,4,5}:{(9,1),(30,1),(125,1),(160,1)}
        14:{2,5,7}:{(4,1),(5,1),(31,1),(161,1)}
        15:{3,5,6}:{(5,1),(28,1),(31,1),(33,1),(77,1),(79,1)}
        16:{4,5,7}:{(5,1),(33,1),(71,1),(125,1)}
        17:{2,3,6,7}:{(6,1),(25,1),(34,1),(35,1),(121,1),(131,1),(133,1)}
        18:{2,3,5,6}:{(7,1),(35,1),(36,1),(38,1),(70,1),(76,1),(81,1),(83,1),(131,1),(133,1),(161,1),(172,1)}
        19:{1,2,5,7}:{(6,1),(7,1),(8,1),(35,1),(37,1),(78,1),(134,1)}
        20:{1,2,4,6}:{(7,1),(9,1),(27,1),(36,1),(37,1),(38,1),(40,1),(85,1),(88,1),(129,1)}
        21:{1,4,7}:{(8,1),(9,1),(39,1),(71,1)}
        22:{3,4,6}:{(9,1),(30,1),(38,1),(39,1),(40,1),(72,1),(77,1)}
        23:{1,2,6,7}:{(10,1),(41,1),(42,1),(108,1),(113,1),(150,1),(164,1)}
        24:{2,3,5,7}:{(10,1),(14,1),(42,1),(43,1),(44,1),(46,1),(54,1),(93,1)}
        25:{3,6,7}:{(11,1),(46,1),(59,1),(93,1),(103,1),(170,1)}
        26:{1,2,5,7}:{(11,1),(12,1),(14,1),(46,1),(47,1),(55,1),(89,1),(169,1)}
        27:{1,2,4,5}:{(13,1),(20,1),(49,1),(52,1),(56,1),(101,1),(102,1),(106,1),(111,1),(169,1),(174,1)}
        28:{1,5,6}:{(12,1),(15,1),(50,1),(108,1)}
        29:{1,4,5,7}:{(12,1),(13,1),(16,1),(21,1),(50,1),(51,1)}
        30:{3,5}:{(13,1),(22,1),(52,1)}
        31:{2,5,6}:{(14,1),(15,1),(53,1),(107,1)}
        32:{2,4,5,7}:{(14,1),(16,1),(44,1),(53,1),(54,1),(94,1)}
        33:{4,6}:{(15,1),(16,1)}
        34:{2,4,6,7}:{(17,1),(45,1),(55,1),(57,1),(109,1),(139,1),(147,1),(164,1)}
        35:{2,3,5,7}:{(17,1),(18,1),(19,1),(46,1),(55,1),(57,1),(59,1),(110,1)}
        36:{2,4,6}:{(18,1),(56,1),(57,1),(58,1),(99,1),(102,1),(174,1)}
        37:{1,2,4,7}:{(19,1),(20,1),(21,1),(57,1),(59,1),(62,1),(112,1),(113,1)}
        38:{3,6}:{(20,1),(49,1),(59,1),(149,1)}
        39:{3,4,7}:{(21,1),(22,1),(51,1),(59,1),(62,1)}
        40:{2,4,6}:{(22,1),(52,1),(61,1),(62,1),(102,1),(107,1)}
        41:{1,3,6,7}:{(23,1),(25,1),(63,1),(64,1),(86,1),(130,1),(152,1)}
        42:{1,2,5,7}:{(23,1),(24,1),(64,1),(65,1),(66,1),(80,1),(153,1)}
        43:{2,3,5,6}:{(24,1),(31,1),(65,1),(67,1),(70,1),(79,1),(119,1),(122,1),(131,1),(158,1),(161,1),(172,1)}
        44:{2,4,7}:{(24,1),(67,1),(68,1),(71,1)}
        45:{3,4,6,7}:{(25,1),(34,1),(63,1),(69,1),(71,1),(84,1),(117,1),(124,1),(126,1),(133,1),(152,1)}
        46:{3,5,7}:{(25,1),(26,1),(70,1),(71,1),(172,1)}
        47:{1,2,5,6}:{(26,1),(28,1),(31,1),(70,1),(73,1),(81,1),(114,1),(160,1),(161,1)}
        48:{1,2,4,5,7}:{(26,1),(27,1),(29,1),(32,1),(37,1),(66,1),(71,1),(73,1),(74,1),(78,1),(80,1),(82,1),(115,1),(118,1),(125,1),(127,1),(128,1),(132,1),(134,1),(153,1),(160,1),(161,1)}
        49:{3,5}:{(27,1),(38,1),(72,1)}
        50:{1,4,6}:{(28,1),(29,1),(33,1),(77,1)}
        51:{3,5,7}:{(29,1),(30,1),(39,1),(77,1),(78,1)}
        52:{2,5}:{(30,1),(40,1)}
        53:{2,4,6}:{(31,1),(32,1),(33,1),(79,1)}
        54:{3,5,7}:{(32,1),(68,1),(79,1),(80,1),(122,1)}
        55:{2,5,7}:{(34,1),(69,1),(81,1),(161,1)}
        56:{2,4,5}:{(36,1),(83,1),(125,1),(161,1)}
        57:{2,4,7}:{(35,1),(36,1),(71,1),(84,1)}
        58:{3,4,6}:{(36,1),(38,1),(72,1),(83,1),(84,1),(85,1),(133,1)}
        59:{3,7}:{(37,1),(38,1)}
        60:{1,3,6}:{(38,1),(75,1),(85,1),(86,1),(88,1)}
        61:{2,3,6}:{(38,1),(40,1),(76,1),(87,1),(88,1)}
        62:{2,4,7}:{(39,1),(40,1),(78,1),(87,1)}
        63:{1,4,6,7}:{(41,1),(45,1),(89,1),(91,1),(112,1),(135,1),(146,1),(151,1)}
        64:{1,3,5,7}:{(41,1),(42,1),(46,1),(89,1),(90,1),(91,1),(93,1),(136,1)}
        65:{1,2,5,6}:{(42,1),(43,1),(90,1),(92,1),(108,1),(144,1),(150,1),(164,1),(165,1),(168,1),(169,1)}
        66:{1,2,4,7}:{(42,1),(44,1),(91,1),(92,1),(93,1),(96,1),(139,1),(143,1)}
        67:{2,4,6}:{(43,1),(44,1),(94,1),(95,1),(99,1),(167,1),(174,1)}
        68:{3,4,7}:{(44,1),(54,1),(93,1),(95,1),(96,1)}
        69:{3,5,7}:{(45,1),(55,1),(89,1),(97,1),(98,1),(145,1)}
        70:{3,5,6}:{(46,1),(47,1),(99,1),(103,1),(145,1)}
        71:{4,7}:{(46,1),(99,1),(174,1)}
        72:{3,4}:{(49,1),(101,1),(102,1),(149,1),(174,1)}
        73:{1,2,4,6}:{(47,1),(48,1),(50,1),(53,1),(99,1),(103,1),(107,1),(108,1),(109,1),(135,1),(146,1),(147,1),(150,1),(151,1),(164,1)}
        74:{3,5,7}:{(48,1),(49,1),(59,1),(93,1),(100,1),(103,1),(140,1),(145,1)}
        75:{1,3,5}:{(49,1),(60,1),(101,1),(106,1),(111,1),(149,1)}
        76:{2,3,5}:{(49,1),(52,1),(61,1),(102,1),(106,1),(149,1)}
        77:{3,6}:{(50,1),(51,1),(107,1)}
        78:{2,5,7}:{(51,1),(52,1),(62,1),(107,1)}
        79:{3,6}:{(53,1),(54,1),(108,1)}
        80:{1,5,7}:{(54,1),(96,1),(108,1),(144,1)}
        81:{2,5,6}:{(55,1),(97,1),(109,1),(164,1)}
        82:{2,4,5,7}:{(55,1),(56,1),(57,1),(98,1),(109,1),(110,1)}
        83:{3,5}:{(56,1),(58,1),(111,1)}
        84:{3,4,7}:{(57,1),(58,1),(59,1),(110,1),(112,1)}
        85:{1,4,6}:{(58,1),(60,1),(101,1),(111,1),(112,1),(151,1)}
        86:{1,3,7}:{(59,1),(60,1),(112,1),(113,1)}
        87:{2,3,7}:{(59,1),(61,1),(62,1),(113,1)}
        88:{1,2,6}:{(60,1),(61,1),(106,1),(113,1)}
        89:{1,5,7}:{(63,1),(69,1),(114,1),(160,1)}
        90:{1,3,5,6}:{(64,1),(65,1),(70,1),(114,1),(116,1),(119,1),(130,1),(152,1),(154,1),(157,1),(160,1),(172,1)}
        91:{1,4,7}:{(64,1),(71,1),(116,1),(117,1)}
        92:{1,2,4,6}:{(65,1),(66,1),(67,1),(116,1),(118,1),(119,1),(123,1),(155,1),(159,1),(171,1)}
        93:{3,7}:{(66,1),(119,1)}
        94:{2,4,5}:{(67,1),(122,1),(125,1),(161,1)}
        95:{3,4,6}:{(67,1),(68,1),(79,1),(119,1),(122,1),(123,1),(156,1)}
        96:{1,4,7}:{(68,1),(80,1),(120,1),(123,1)}
        97:{3,5,6}:{(69,1),(81,1),(114,1),(124,1),(133,1),(152,1)}
        98:{4,5,7}:{(69,1),(71,1),(124,1),(125,1)}
        99:{4,6}:{(70,1),(71,1),(125,1)}
       100:{3,4,7}:{(71,1),(72,1),(74,1),(126,1),(127,1),(128,1),(156,1),(163,1)}
       101:{1,4}:{(72,1),(75,1)}
       102:{2,4}:{(72,1),(76,1)}
       103:{3,6}:{(73,1),(74,1)}
       104:{1,3,5,7}:{(74,1),(75,1),(80,1),(86,1),(120,1),(127,1),(130,1),(132,1),(134,1),(157,1),(160,1),(163,1),(172,1)}
       105:{2,3,5,7}:{(74,1),(76,1),(78,1),(87,1),(121,1),(128,1),(131,1),(132,1),(153,1),(158,1),(161,1),(163,1),(172,1)}
       106:{1,2,5}:{(75,1),(76,1),(88,1),(129,1)}
       107:{2,6}:{(77,1),(78,1)}
       108:{1,6}:{(79,1),(80,1)}
       109:{2,4,6}:{(81,1),(82,1),(124,1),(133,1)}
       110:{3,5,7}:{(82,1),(83,1),(84,1),(133,1),(134,1)}
       111:{1,5}:{(83,1),(85,1)}
       112:{1,4,7}:{(84,1),(85,1),(86,1),(134,1)}
       113:{1,2,7}:{(86,1),(87,1),(88,1)}
       114:{1,5,6}:{(89,1),(97,1),(135,1),(151,1)}
       115:{1,4,5,7}:{(89,1),(91,1),(98,1),(135,1),(136,1),(137,1)}
       116:{1,4,6}:{(90,1),(91,1),(99,1),(137,1),(138,1),(166,1),(174,1)}
       117:{3,4,7}:{(91,1),(93,1),(136,1),(138,1),(139,1)}
       118:{1,2,4,5}:{(92,1),(94,1),(137,1),(140,1),(144,1),(165,1),(166,1),(167,1),(168,1),(169,1),(174,1)}
       119:{3,6}:{(92,1),(93,1),(140,1),(173,1)}
       120:{1,3,7}:{(93,1),(96,1),(141,1),(143,1)}
       121:{2,3,7}:{(93,1),(139,1),(142,1),(143,1)}
       122:{3,5}:{(94,1),(95,1),(144,1)}
       123:{1,4,6}:{(95,1),(96,1),(108,1),(141,1),(144,1),(166,1)}
       124:{4,6}:{(97,1),(98,1)}
       125:{4,5}:{(99,1),(145,1),(174,1)}
       126:{3,4,6}:{(99,1),(100,1),(103,1),(145,1),(146,1),(147,1),(170,1),(174,1)}
       127:{1,4,7}:{(100,1),(101,1),(104,1),(146,1),(166,1),(174,1)}
       128:{2,4,7}:{(100,1),(102,1),(105,1),(147,1),(167,1),(174,1)}
       129:{1,2,4}:{(101,1),(102,1),(106,1),(149,1)}
       130:{1,3,6}:{(103,1),(104,1),(108,1),(146,1),(150,1),(151,1),(170,1)}
       131:{2,3,6}:{(103,1),(105,1),(107,1),(147,1),(150,1),(164,1),(170,1)}
       132:{1,2,5,7}:{(104,1),(105,1),(106,1),(113,1),(143,1),(148,1),(150,1),(168,1),(169,1)}
       133:{3,6}:{(109,1),(110,1),(151,1)}
       134:{1,5,7}:{(110,1),(111,1),(112,1),(151,1)}
       135:{1,4,6}:{(114,1),(115,1),(124,1),(152,1)}
       136:{3,5,7}:{(115,1),(117,1),(152,1),(153,1),(154,1)}
       137:{1,4,5}:{(116,1),(125,1),(154,1),(160,1)}
       138:{3,4,6}:{(116,1),(117,1),(119,1),(152,1),(154,1),(155,1),(156,1)}
       139:{2,4,7}:{(117,1),(121,1),(153,1),(155,1)}
       140:{3,5}:{(118,1),(119,1),(156,1)}
       141:{1,3,6}:{(119,1),(120,1),(123,1),(157,1),(159,1)}
       142:{2,3,6}:{(119,1),(121,1),(155,1),(158,1),(159,1)}
       143:{1,2,7}:{(120,1),(121,1),(159,1)}
       144:{1,5}:{(122,1),(123,1)}
       145:{3,5}:{(125,1),(126,1),(160,1),(161,1)}
       146:{1,4,6}:{(126,1),(127,1),(130,1),(160,1)}
       147:{2,4,6}:{(126,1),(128,1),(131,1),(161,1)}
       148:{1,2,4,7}:{(127,1),(128,1),(129,1),(132,1),(162,1),(163,1),(171,1)}
       149:{3}:{(129,1)}
       150:{1,2,6}:{(130,1),(131,1),(132,1)}
       151:{1,6}:{(133,1),(134,1)}
       152:{3,6}:{(135,1),(136,1),(164,1)}
       153:{2,5,7}:{(136,1),(139,1),(164,1),(165,1)}
       154:{3,5}:{(137,1),(138,1),(165,1)}
       155:{2,4,6}:{(138,1),(139,1),(142,1),(164,1),(165,1),(167,1)}
       156:{3,4}:{(140,1),(166,1),(167,1),(173,1),(174,1)}
       157:{1,3,5}:{(140,1),(141,1),(144,1),(166,1),(168,1),(173,1)}
       158:{2,3,5}:{(140,1),(142,1),(165,1),(167,1),(168,1),(173,1)}
       159:{1,2,6}:{(141,1),(142,1),(143,1),(168,1)}
       160:{1,5}:{(145,1),(146,1)}
       161:{2,5}:{(145,1),(147,1)}
       162:{1,2,4,6}:{(146,1),(147,1),(148,1),(150,1),(169,1),(170,1),(174,1)}
       163:{3,7}:{(148,1),(149,1),(170,1),(173,1)}
       164:{2,6}:{(152,1),(153,1)}
       165:{2,5}:{(154,1),(155,1)}
       166:{1,4}:{(156,1),(157,1)}
       167:{2,4}:{(156,1),(158,1)}
       168:{1,2,5}:{(157,1),(158,1),(159,1),(171,1)}
       169:{1,2,5}:{(160,1),(161,1),(162,1),(172,1)}
       170:{3,6}:{(162,1),(163,1),(172,1)}
       171:{1,2,4}:{(166,1),(167,1),(168,1),(173,1)}
       172:{3,5}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{4}:{(172,1)}

 425 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(15,1),(19,1),(37,1),(40,1),(82,1),(88,1)}
         1:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(21,1),(27,1),(62,1)}
         2:{1,3,5}:{(0,1),(5,1),(8,1),(25,1),(106,1),(116,1)}
         3:{1,3,4,7}:{(0,1),(6,1),(9,1),(30,1),(61,1),(65,1),(109,1),(204,1)}
         4:{2,3,6}:{(1,1),(10,1),(11,1),(40,1)}
         5:{1,2,5}:{(1,1),(2,1),(10,1),(89,1)}
         6:{1,2,4,7}:{(1,1),(3,1),(11,1),(14,1),(38,1),(208,1)}
         7:{1,3,5,6}:{(2,1),(12,1),(15,1),(16,1),(19,1),(40,1),(47,1),(54,1),(98,1)}
         8:{1,4,5}:{(2,1),(15,1),(17,1),(139,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(14,1),(18,1),(19,1),(45,1),(130,1),(198,1),(200,1)}
        10:{2,3,5}:{(4,1),(5,1),(21,1),(25,1)}
        11:{2,3,7}:{(4,1),(6,1),(65,1),(209,1)}
        12:{1,2,5,6}:{(5,1),(7,1),(20,1),(23,1),(24,1),(27,1),(72,1),(106,1),(151,1)}
        13:{1,2,4,5}:{(5,1),(8,1),(21,1),(23,1),(25,1),(32,1),(55,1),(59,1),(67,1),(106,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(9,1),(22,1),(27,1),(206,1),(207,1)}
        15:{1,4,6}:{(7,1),(8,1),(29,1),(30,1),(124,1)}
        16:{1,3,5,7}:{(7,1),(24,1),(30,1),(31,1),(65,1),(73,1),(77,1),(120,1)}
        17:{3,4,5}:{(8,1),(25,1),(29,1),(32,1)}
        18:{1,4,5,7}:{(8,1),(9,1),(30,1),(33,1),(34,1),(77,1),(188,1),(191,1)}
        19:{1,3,6}:{(9,1),(27,1),(34,1),(70,1),(151,1)}
        20:{2,3,5,6}:{(10,1),(12,1),(35,1),(36,1),(39,1),(40,1),(80,1),(89,1),(98,1),(131,1),(132,1)}
        21:{2,4}:{(10,1),(37,1)}
        22:{2,3,5,7}:{(10,1),(11,1),(14,1),(38,1),(39,1),(45,1),(89,1),(196,1),(199,1),(201,1)}
        23:{1,2,4,6}:{(12,1),(13,1),(15,1),(35,1),(40,1),(41,1),(49,1),(82,1),(90,1)}
        24:{1,2,5,7}:{(12,1),(16,1),(36,1),(41,1),(42,1),(99,1),(130,1)}
        25:{3,5}:{(13,1),(37,1),(40,1)}
        26:{1,2,4,5,7}:{(13,1),(14,1),(18,1),(38,1),(41,1),(45,1),(46,1),(52,1),(81,1),(86,1),(89,1),(94,1),(95,1),(130,1),(137,1),(139,1),(143,1),(170,1),(172,1),(175,1),(196,1)}
        27:{1,2,6}:{(14,1),(19,1),(39,1)}
        28:{1,4,5,6}:{(15,1),(47,1),(48,1),(54,1),(105,1)}
        29:{3,4,6}:{(15,1),(17,1),(40,1),(47,1),(49,1),(50,1)}
        30:{1,4,7}:{(15,1),(16,1),(50,1),(143,1)}
        31:{1,3,6,7}:{(16,1),(19,1),(42,1),(51,1),(93,1),(100,1),(200,1)}
        32:{2,4,5}:{(17,1),(44,1),(49,1)}
        33:{3,4,5,7}:{(17,1),(18,1),(45,1),(50,1),(52,1),(53,1),(103,1),(139,1),(143,1),(174,1),(177,1)}
        34:{1,4,6}:{(18,1),(19,1),(53,1),(54,1)}
        35:{2,4,6}:{(20,1),(21,1),(55,1),(56,1),(57,1),(124,1)}
        36:{2,3,5,7}:{(20,1),(24,1),(57,1),(58,1),(65,1),(107,1),(111,1),(120,1)}
        37:{3,4}:{(21,1),(25,1),(59,1)}
        38:{2,4,7}:{(21,1),(22,1),(61,1),(62,1),(205,1)}
        39:{2,3,6}:{(22,1),(27,1),(62,1),(70,1),(203,1)}
        40:{3,6}:{(23,1),(25,1),(65,1)}
        41:{1,2,4,7}:{(23,1),(24,1),(30,1),(57,1),(65,1),(75,1),(109,1),(117,1)}
        42:{1,2,6,7}:{(24,1),(27,1),(31,1),(58,1),(125,1),(151,1),(207,1)}
        43:{1,3,5}:{(25,1),(59,1),(63,1),(67,1),(106,1),(112,1)}
        44:{2,3,5}:{(25,1),(32,1),(60,1),(64,1),(67,1)}
        45:{3,5,7}:{(25,1),(26,1),(61,1),(65,1),(70,1),(116,1),(186,1),(189,1)}
        46:{1,2,4,6}:{(26,1),(27,1),(34,1),(62,1),(70,1),(71,1),(78,1),(108,1),(114,1),(121,1),(124,1),(151,1),(183,1),(203,1)}
        47:{3,5,6}:{(28,1),(29,1),(72,1),(73,1)}
        48:{1,4,5,7}:{(28,1),(30,1),(73,1),(74,1),(77,1),(128,1)}
        49:{2,4,6}:{(29,1),(32,1),(64,1),(72,1),(75,1)}
        50:{3,4,7}:{(29,1),(30,1),(65,1),(73,1),(75,1)}
        51:{1,4,6,7}:{(30,1),(31,1),(34,1),(76,1),(77,1),(191,1),(194,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(69,1),(75,1),(78,1),(127,1),(158,1),(161,1)}
        53:{3,4,6}:{(33,1),(34,1),(70,1),(78,1),(79,1),(124,1)}
        54:{1,5,6}:{(34,1),(77,1),(79,1)}
        55:{2,4,5}:{(35,1),(80,1),(89,1),(139,1)}
        56:{3,4,6}:{(35,1),(37,1),(40,1),(80,1),(82,1),(83,1),(131,1)}
        57:{2,4,7}:{(35,1),(36,1),(83,1),(143,1)}
        58:{2,3,6,7}:{(36,1),(39,1),(42,1),(84,1),(93,1),(131,1),(201,1)}
        59:{1,4}:{(37,1),(43,1)}
        60:{2,3,4}:{(37,1),(44,1),(85,1)}
        61:{3,4,7}:{(37,1),(38,1),(45,1),(86,1),(88,1),(143,1),(197,1)}
        62:{2,4,6}:{(38,1),(39,1),(88,1),(89,1)}
        63:{1,3,6}:{(40,1),(43,1),(82,1),(90,1),(91,1)}
        64:{2,3,6}:{(40,1),(44,1),(49,1),(90,1),(92,1)}
        65:{3,7}:{(40,1),(41,1)}
        66:{1,2,4,6,7}:{(41,1),(42,1),(46,1),(51,1),(84,1),(93,1),(94,1),(102,1),(133,1),(140,1),(143,1),(175,1)}
        67:{1,2,5}:{(43,1),(44,1),(85,1),(90,1)}
        68:{1,3,5,7}:{(43,1),(45,1),(86,1),(91,1),(95,1),(96,1),(130,1),(135,1),(137,1),(171,1)}
        69:{2,3,5,7}:{(44,1),(45,1),(52,1),(87,1),(92,1),(95,1),(97,1),(138,1),(196,1)}
        70:{3,6}:{(45,1),(46,1)}
        71:{1,2,5,6}:{(46,1),(54,1),(89,1),(94,1),(98,1),(104,1),(132,1),(137,1),(168,1)}
        72:{2,5,6}:{(47,1),(49,1),(99,1)}
        73:{3,5,7}:{(47,1),(48,1),(50,1),(99,1),(100,1)}
        74:{1,4,6,7}:{(48,1),(100,1),(101,1),(148,1)}
        75:{2,4,7}:{(49,1),(50,1),(92,1),(99,1)}
        76:{3,4,6,7}:{(50,1),(51,1),(53,1),(93,1),(100,1),(102,1),(103,1),(143,1),(148,1),(177,1),(181,1)}
        77:{1,5,7}:{(51,1),(54,1),(103,1)}
        78:{2,4,6}:{(52,1),(53,1),(97,1),(104,1)}
        79:{3,5,6}:{(53,1),(54,1),(103,1),(104,1),(105,1)}
        80:{3,5}:{(55,1),(56,1),(106,1)}
        81:{2,4,5,7}:{(55,1),(57,1),(107,1),(108,1),(111,1),(154,1)}
        82:{1,4,6}:{(56,1),(59,1),(63,1),(106,1),(109,1),(151,1)}
        83:{3,4,7}:{(56,1),(57,1),(65,1),(107,1),(109,1)}
        84:{2,4,6,7}:{(57,1),(58,1),(62,1),(108,1),(110,1),(111,1),(190,1),(203,1)}
        85:{1,2,4}:{(59,1),(60,1),(67,1),(112,1)}
        86:{1,4,7}:{(59,1),(61,1),(68,1),(114,1),(185,1)}
        87:{2,3,4,7}:{(60,1),(61,1),(69,1),(113,1),(115,1),(161,1),(189,1),(190,1)}
        88:{3,4,6}:{(61,1),(62,1),(70,1),(114,1),(116,1),(124,1)}
        89:{2,5}:{(62,1),(116,1)}
        90:{1,2,6}:{(63,1),(64,1),(67,1),(117,1)}
        91:{1,3,7}:{(63,1),(65,1),(109,1),(117,1)}
        92:{2,3,7}:{(64,1),(65,1),(75,1),(117,1)}
        93:{3,6,7}:{(65,1),(66,1),(70,1),(120,1),(189,1)}
        94:{1,2,5,7}:{(66,1),(71,1),(77,1),(111,1),(120,1),(127,1),(153,1)}
        95:{1,2,5,7}:{(67,1),(68,1),(69,1),(113,1),(117,1),(121,1),(156,1)}
        96:{1,3,6}:{(68,1),(70,1),(114,1),(121,1),(151,1)}
        97:{2,3,6}:{(69,1),(70,1),(78,1),(121,1),(203,1)}
        98:{3,5,6}:{(70,1),(71,1),(116,1),(120,1),(124,1)}
        99:{2,5,7}:{(72,1),(73,1),(75,1),(125,1)}
       100:{3,6,7}:{(73,1),(74,1),(125,1)}
       101:{1,5,6,7}:{(74,1),(77,1),(126,1),(194,1)}
       102:{2,4,6,7}:{(75,1),(76,1),(78,1),(119,1),(125,1),(127,1),(161,1)}
       103:{3,5,7}:{(76,1),(77,1),(79,1),(127,1),(128,1)}
       104:{2,5,6}:{(78,1),(79,1),(127,1)}
       105:{4,5,6}:{(79,1),(124,1),(128,1)}
       106:{1,5}:{(80,1),(82,1)}
       107:{3,5,7}:{(80,1),(81,1),(83,1),(130,1),(131,1)}
       108:{2,4,6}:{(81,1),(131,1),(132,1),(169,1)}
       109:{1,4,7}:{(82,1),(83,1),(91,1),(130,1)}
       110:{3,4,6,7}:{(83,1),(84,1),(88,1),(93,1),(131,1),(133,1),(134,1),(143,1),(169,1),(176,1),(195,1)}
       111:{2,5,7}:{(84,1),(89,1),(132,1),(134,1)}
       112:{1,3}:{(85,1)}
       113:{1,2,4,7}:{(85,1),(86,1),(87,1),(95,1),(135,1),(136,1)}
       114:{1,4,6}:{(86,1),(88,1),(96,1),(137,1)}
       115:{2,3,4,6}:{(87,1),(88,1),(97,1),(136,1),(138,1),(146,1),(178,1),(179,1),(197,1)}
       116:{3,5}:{(88,1),(89,1),(137,1),(139,1)}
       117:{1,2,7}:{(90,1),(91,1),(92,1)}
       118:{1,3,6,7}:{(91,1),(93,1),(96,1),(133,1),(140,1),(141,1),(195,1)}
       119:{2,3,6,7}:{(92,1),(93,1),(97,1),(102,1),(140,1),(142,1),(181,1)}
       120:{3,5,7}:{(93,1),(94,1),(98,1),(143,1)}
       121:{1,2,6}:{(95,1),(96,1),(97,1)}
       122:{1,3,5,6}:{(96,1),(98,1),(137,1),(141,1),(144,1),(145,1),(168,1),(171,1),(173,1),(178,1),(195,1)}
       123:{2,3,5,6}:{(97,1),(98,1),(104,1),(138,1),(142,1),(144,1),(146,1),(150,1),(178,1)}
       124:{4,6}:{(98,1),(139,1),(143,1)}
       125:{2,6,7}:{(99,1),(100,1)}
       126:{3,5,6,7}:{(100,1),(101,1),(103,1),(147,1),(148,1),(181,1)}
       127:{2,5,7}:{(102,1),(103,1),(104,1)}
       128:{4,5,7}:{(103,1),(105,1),(143,1),(148,1)}
       129:{2,4,5,6}:{(104,1),(105,1),(146,1),(149,1),(150,1)}
       130:{1,5,7}:{(106,1),(107,1),(109,1),(151,1)}
       131:{3,6}:{(107,1),(108,1),(151,1)}
       132:{2,5,6}:{(108,1),(111,1),(152,1),(203,1)}
       133:{1,4,6,7}:{(109,1),(110,1),(114,1),(118,1),(151,1),(153,1),(160,1),(183,1)}
       134:{3,5,7}:{(110,1),(111,1),(116,1),(152,1),(153,1),(154,1)}
       135:{1,3,7}:{(112,1),(113,1),(155,1),(189,1)}
       136:{1,2,4,6}:{(113,1),(114,1),(115,1),(121,1),(155,1),(156,1),(185,1)}
       137:{1,5}:{(114,1),(116,1)}
       138:{2,3,5}:{(115,1),(116,1),(156,1),(158,1),(186,1),(187,1)}
       139:{4,5}:{(116,1),(124,1)}
       140:{1,2,6,7}:{(117,1),(118,1),(119,1),(121,1),(159,1),(194,1),(203,1)}
       141:{1,3,5,7}:{(118,1),(120,1),(122,1),(153,1),(159,1),(160,1),(184,1),(189,1)}
       142:{2,3,5,7}:{(119,1),(120,1),(123,1),(127,1),(159,1),(161,1),(166,1),(189,1)}
       143:{4,7}:{(120,1),(124,1)}
       144:{1,2,5,6}:{(121,1),(122,1),(123,1),(156,1),(159,1),(162,1),(167,1),(187,1),(203,1)}
       145:{1,4,6}:{(122,1),(124,1),(157,1),(160,1),(163,1),(185,1)}
       146:{2,4,6}:{(123,1),(124,1),(158,1),(161,1),(164,1)}
       147:{2,5,6,7}:{(125,1),(126,1),(127,1),(165,1)}
       148:{4,6,7}:{(126,1),(128,1)}
       149:{2,4,5,7}:{(127,1),(128,1),(129,1),(161,1),(165,1),(166,1)}
       150:{3,5,6}:{(129,1),(164,1),(166,1),(167,1)}
       151:{1,6}:{(130,1),(131,1)}
       152:{3,5,6}:{(131,1),(132,1),(134,1),(168,1),(169,1),(195,1)}
       153:{1,5,7}:{(133,1),(134,1),(137,1),(168,1)}
       154:{4,5,7}:{(134,1),(139,1),(143,1),(169,1)}
       155:{1,3,6}:{(135,1),(136,1),(171,1),(178,1)}
       156:{1,2,5}:{(136,1),(137,1),(138,1),(171,1)}
       157:{1,4,5}:{(137,1),(139,1),(145,1),(173,1)}
       158:{2,4,5}:{(138,1),(139,1),(146,1),(174,1)}
       159:{1,2,5,7}:{(140,1),(141,1),(142,1),(144,1),(175,1),(182,1),(196,1)}
       160:{1,4,7}:{(141,1),(143,1),(145,1),(176,1)}
       161:{2,4,7}:{(142,1),(143,1),(146,1),(177,1)}
       162:{1,2,4,6}:{(144,1),(145,1),(146,1),(172,1),(175,1),(178,1),(179,1),(180,1),(202,1)}
       163:{3,4,6}:{(145,1),(173,1),(176,1),(178,1),(179,1),(195,1),(197,1)}
       164:{3,4,6}:{(146,1),(150,1),(174,1),(177,1),(178,1),(180,1)}
       165:{2,4,6,7}:{(147,1),(148,1),(149,1),(181,1)}
       166:{3,5,7}:{(149,1),(150,1),(177,1),(181,1),(182,1)}
       167:{1,5,6}:{(150,1),(180,1),(182,1)}
       168:{1,5,6}:{(151,1),(152,1),(153,1),(183,1)}
       169:{4,6}:{(152,1),(154,1)}
       170:{1,4,5,7}:{(153,1),(154,1),(157,1),(160,1),(183,1),(184,1)}
       171:{1,3,5}:{(155,1),(156,1),(185,1),(186,1)}
       172:{1,2,4,5}:{(156,1),(157,1),(158,1),(162,1),(185,1),(186,1),(187,1),(188,1),(205,1),(206,1)}
       173:{3,5}:{(157,1),(163,1),(187,1)}
       174:{3,4,5}:{(158,1),(164,1),(186,1),(188,1)}
       175:{1,2,4,7}:{(159,1),(160,1),(161,1),(162,1),(189,1),(190,1),(191,1),(207,1)}
       176:{3,4,7}:{(160,1),(163,1),(184,1),(189,1),(190,1)}
       177:{3,4,7}:{(161,1),(164,1),(166,1),(189,1),(191,1)}
       178:{3,6}:{(162,1),(186,1),(189,1)}
       179:{2,4,6}:{(163,1),(187,1),(190,1),(193,1),(203,1),(205,1)}
       180:{1,4,6}:{(164,1),(167,1),(188,1),(191,1),(192,1)}
       181:{3,6,7}:{(165,1),(166,1),(194,1)}
       182:{1,5,7}:{(166,1),(167,1),(191,1),(194,1)}
       183:{1,4,6}:{(168,1),(169,1),(170,1),(195,1)}
       184:{3,5,7}:{(170,1),(173,1),(176,1),(195,1),(196,1)}
       185:{1,4}:{(171,1),(197,1)}
       186:{3,5}:{(172,1),(178,1),(197,1)}
       187:{2,5}:{(173,1),(179,1)}
       188:{1,4,5}:{(174,1),(180,1),(198,1)}
       189:{3,7}:{(175,1),(178,1)}
       190:{2,4,7}:{(176,1),(179,1),(196,1),(201,1)}
       191:{1,4,7}:{(177,1),(180,1),(182,1),(200,1)}
       192:{1,3,6}:{(178,1),(180,1),(198,1),(200,1),(202,1)}
       193:{2,3,6}:{(178,1),(179,1),(199,1),(201,1),(202,1)}
       194:{1,6,7}:{(181,1),(182,1)}
       195:{3,6}:{(183,1),(184,1),(203,1)}
       196:{2,5,7}:{(184,1),(187,1),(190,1),(203,1)}
       197:{3,4}:{(185,1),(186,1),(205,1)}
       198:{1,3,5}:{(186,1),(188,1),(192,1),(204,1),(206,1)}
       199:{2,3,5}:{(186,1),(187,1),(193,1),(205,1),(206,1),(209,1)}
       200:{1,3,7}:{(189,1),(191,1),(192,1),(207,1)}
       201:{2,3,7}:{(189,1),(190,1),(193,1),(207,1)}
       202:{1,2,6}:{(192,1),(193,1),(206,1),(207,1)}
       203:{2,6}:{(195,1),(196,1)}
       204:{1,3,4}:{(197,1),(198,1),(208,1)}
       205:{2,4}:{(197,1),(199,1)}
       206:{1,2,5}:{(198,1),(199,1),(202,1),(208,1)}
       207:{1,2,7}:{(200,1),(201,1),(202,1)}
       208:{1,2,4}:{(204,1),(205,1),(206,1),(209,1)}
       209:{2,3}:{(208,1)}

 426 :   0:{1,3,4,7}:{(1,1),(2,1),(3,1),(35,1),(53,1),(101,1),(152,1),(203,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(6,1),(20,1),(208,1)}
         2:{1,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(9,1),(23,1),(173,1),(196,1),(200,1)}
         3:{1,3,4,6}:{(0,1),(6,1),(8,1),(9,1),(33,1),(58,1),(63,1),(71,1),(124,1)}
         4:{2,3,7}:{(1,1),(11,1),(101,1),(209,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(10,1),(13,1),(14,1),(205,1),(207,1)}
         6:{1,2,4,6}:{(1,1),(3,1),(11,1),(13,1),(14,1),(36,1),(39,1)}
         7:{1,4,5,7}:{(2,1),(15,1),(16,1),(19,1),(51,1),(53,1),(187,1),(193,1)}
         8:{1,3,6}:{(2,1),(13,1),(16,1),(42,1),(188,1)}
         9:{1,3,5}:{(3,1),(14,1),(19,1),(47,1),(87,1),(151,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(20,1),(21,1),(22,1),(23,1),(60,1),(197,1),(199,1),(201,1)}
        11:{2,3,6}:{(4,1),(6,1),(22,1),(71,1)}
        12:{1,2,4,5,7}:{(5,1),(7,1),(20,1),(23,1),(24,1),(27,1),(28,1),(56,1),(60,1),(64,1),(69,1),(70,1),(116,1),(119,1),(121,1),(132,1),(166,1),(168,1),(173,1),(174,1),(199,1)}
        13:{1,2,6}:{(5,1),(8,1),(21,1)}
        14:{1,2,5}:{(6,1),(9,1),(22,1),(60,1)}
        15:{3,4,5,7}:{(7,1),(23,1),(28,1),(29,1),(34,1),(76,1),(81,1),(119,1),(132,1),(170,1),(178,1)}
        16:{1,4,6}:{(7,1),(8,1),(29,1),(31,1)}
        17:{1,3,6,7}:{(8,1),(25,1),(30,1),(32,1),(67,1),(140,1),(200,1)}
        18:{1,3,5,6}:{(8,1),(9,1),(26,1),(31,1),(32,1),(33,1),(68,1),(71,1),(80,1)}
        19:{1,4,5}:{(9,1),(33,1),(34,1),(119,1)}
        20:{2,4,7}:{(10,1),(35,1),(36,1),(39,1),(204,1)}
        21:{2,3,6}:{(10,1),(13,1),(36,1),(42,1),(206,1)}
        22:{2,3,5}:{(11,1),(14,1),(39,1),(47,1)}
        23:{3,5,7}:{(12,1),(35,1),(42,1),(47,1),(87,1),(101,1),(183,1),(189,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(16,1),(36,1),(42,1),(44,1),(48,1),(84,1),(94,1),(100,1),(149,1),(184,1),(188,1),(206,1)}
        25:{1,2,6,7}:{(13,1),(17,1),(37,1),(45,1),(164,1),(188,1),(207,1)}
        26:{1,2,5,6}:{(13,1),(14,1),(18,1),(38,1),(45,1),(46,1),(111,1),(151,1),(188,1)}
        27:{1,2,4,5}:{(14,1),(19,1),(39,1),(46,1),(47,1),(55,1),(89,1),(92,1),(104,1),(151,1)}
        28:{2,4,5,7}:{(15,1),(41,1),(48,1),(55,1),(105,1),(112,1),(146,1),(158,1)}
        29:{3,4,6}:{(15,1),(16,1),(42,1),(48,1),(50,1),(100,1)}
        30:{1,4,6,7}:{(16,1),(17,1),(49,1),(51,1),(53,1),(193,1),(194,1)}
        31:{1,5,6}:{(16,1),(50,1),(51,1)}
        32:{1,3,5,7}:{(17,1),(18,1),(45,1),(51,1),(53,1),(99,1),(101,1),(110,1)}
        33:{1,4,6}:{(18,1),(19,1),(53,1),(54,1),(100,1)}
        34:{3,4,5}:{(19,1),(47,1),(54,1),(55,1)}
        35:{3,4,7}:{(20,1),(23,1),(56,1),(58,1),(63,1),(132,1),(195,1)}
        36:{2,4,6}:{(20,1),(21,1),(58,1),(60,1)}
        37:{2,3,6,7}:{(21,1),(25,1),(59,1),(61,1),(67,1),(172,1),(201,1)}
        38:{2,3,5,6}:{(21,1),(22,1),(26,1),(60,1),(61,1),(62,1),(68,1),(71,1),(120,1),(122,1),(172,1)}
        39:{2,4}:{(22,1),(63,1)}
        40:{1,3,5,7}:{(23,1),(56,1),(64,1),(65,1),(72,1),(113,1),(116,1),(133,1),(165,1),(173,1)}
        41:{2,3,5,7}:{(23,1),(28,1),(57,1),(64,1),(66,1),(73,1),(117,1),(134,1),(199,1)}
        42:{3,6}:{(23,1),(24,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(30,1),(59,1),(67,1),(69,1),(70,1),(74,1),(115,1),(126,1),(132,1),(174,1)}
        44:{1,2,5,6}:{(24,1),(31,1),(60,1),(68,1),(69,1),(75,1),(116,1),(120,1),(167,1)}
        45:{1,2,5,7}:{(25,1),(26,1),(32,1),(61,1),(70,1),(141,1),(173,1)}
        46:{1,2,4,6}:{(26,1),(27,1),(33,1),(62,1),(70,1),(71,1),(82,1),(124,1),(135,1)}
        47:{3,5}:{(27,1),(63,1),(71,1)}
        48:{2,4,6}:{(28,1),(29,1),(66,1),(75,1)}
        49:{3,4,6,7}:{(29,1),(30,1),(67,1),(74,1),(76,1),(81,1),(132,1),(139,1),(140,1),(178,1),(180,1)}
        50:{3,5,6}:{(29,1),(31,1),(75,1),(76,1),(77,1)}
        51:{1,5,7}:{(30,1),(31,1),(76,1)}
        52:{1,4,5,6}:{(31,1),(33,1),(77,1),(79,1),(80,1)}
        53:{1,4,7}:{(32,1),(33,1),(81,1),(132,1)}
        54:{3,4,6}:{(33,1),(34,1),(71,1),(80,1),(81,1),(82,1)}
        55:{2,4,5}:{(34,1),(73,1),(82,1)}
        56:{1,4,7}:{(35,1),(40,1),(84,1),(92,1),(182,1)}
        57:{2,3,4,7}:{(35,1),(41,1),(83,1),(85,1),(93,1),(158,1),(189,1),(192,1)}
        58:{3,4,6}:{(35,1),(36,1),(42,1),(84,1),(87,1),(100,1)}
        59:{2,4,6,7}:{(36,1),(37,1),(86,1),(88,1),(90,1),(149,1),(192,1),(206,1)}
        60:{2,5}:{(36,1),(87,1)}
        61:{2,3,5,7}:{(37,1),(38,1),(45,1),(88,1),(90,1),(99,1),(101,1),(150,1)}
        62:{2,4,6}:{(38,1),(39,1),(89,1),(90,1),(91,1),(100,1)}
        63:{3,4}:{(39,1),(47,1),(92,1)}
        64:{1,2,5,7}:{(40,1),(41,1),(83,1),(94,1),(104,1),(143,1),(160,1)}
        65:{1,3,6}:{(40,1),(42,1),(84,1),(94,1),(188,1)}
        66:{2,3,6}:{(41,1),(42,1),(48,1),(94,1),(206,1)}
        67:{3,6,7}:{(42,1),(43,1),(99,1),(101,1),(189,1)}
        68:{3,5,6}:{(42,1),(44,1),(87,1),(99,1),(100,1)}
        69:{1,2,5,7}:{(43,1),(44,1),(51,1),(88,1),(99,1),(105,1),(144,1)}
        70:{1,2,4,7}:{(45,1),(46,1),(53,1),(90,1),(101,1),(112,1),(152,1),(160,1)}
        71:{3,6}:{(46,1),(47,1),(101,1)}
        72:{1,3,5}:{(47,1),(92,1),(102,1),(104,1),(151,1),(153,1)}
        73:{2,3,5}:{(47,1),(55,1),(93,1),(103,1),(104,1)}
        74:{2,4,6,7}:{(48,1),(49,1),(97,1),(105,1),(112,1),(158,1),(164,1)}
        75:{2,5,6}:{(48,1),(50,1),(105,1)}
        76:{3,5,7}:{(49,1),(50,1),(51,1),(105,1),(108,1)}
        77:{4,5,6}:{(50,1),(100,1),(108,1)}
        78:{1,5,6,7}:{(51,1),(107,1),(109,1),(194,1)}
        79:{1,4,5,7}:{(51,1),(52,1),(53,1),(108,1),(109,1),(110,1)}
        80:{3,5,6}:{(52,1),(54,1),(110,1),(111,1)}
        81:{3,4,7}:{(53,1),(54,1),(101,1),(110,1),(112,1)}
        82:{2,4,6}:{(54,1),(55,1),(103,1),(111,1),(112,1)}
        83:{1,2,4,7}:{(56,1),(57,1),(64,1),(113,1),(114,1),(125,1)}
        84:{1,4,6}:{(56,1),(58,1),(65,1),(116,1)}
        85:{2,3,4,6}:{(57,1),(58,1),(66,1),(114,1),(117,1),(131,1),(175,1),(177,1),(195,1)}
        86:{3,4,6,7}:{(58,1),(59,1),(67,1),(115,1),(118,1),(123,1),(132,1),(171,1),(172,1),(176,1),(198,1)}
        87:{3,5}:{(58,1),(60,1),(116,1),(119,1)}
        88:{2,5,7}:{(59,1),(60,1),(118,1),(120,1)}
        89:{2,4,5}:{(60,1),(62,1),(119,1),(122,1)}
        90:{2,4,7}:{(61,1),(62,1),(123,1),(132,1)}
        91:{3,4,6}:{(62,1),(63,1),(71,1),(122,1),(123,1),(124,1),(172,1)}
        92:{1,4}:{(63,1),(72,1)}
        93:{2,3,4}:{(63,1),(73,1),(125,1)}
        94:{1,2,6}:{(64,1),(65,1),(66,1)}
        95:{1,3,6,7}:{(65,1),(67,1),(115,1),(126,1),(128,1),(133,1),(198,1)}
        96:{1,3,5,6}:{(65,1),(68,1),(116,1),(127,1),(128,1),(129,1),(165,1),(167,1),(169,1),(175,1),(198,1)}
        97:{2,3,6,7}:{(66,1),(67,1),(74,1),(126,1),(130,1),(134,1),(180,1)}
        98:{2,3,5,6}:{(66,1),(68,1),(75,1),(117,1),(127,1),(130,1),(131,1),(138,1),(175,1)}
        99:{3,5,7}:{(67,1),(68,1),(69,1),(132,1)}
       100:{4,6}:{(68,1),(119,1),(132,1)}
       101:{3,7}:{(70,1),(71,1)}
       102:{1,3,6}:{(71,1),(72,1),(124,1),(133,1),(135,1)}
       103:{2,3,6}:{(71,1),(73,1),(82,1),(134,1),(135,1)}
       104:{1,2,5}:{(72,1),(73,1),(125,1),(135,1)}
       105:{2,5,7}:{(74,1),(75,1),(76,1)}
       106:{2,4,5,6}:{(75,1),(77,1),(131,1),(137,1),(138,1)}
       107:{3,5,6,7}:{(76,1),(78,1),(136,1),(139,1),(140,1),(180,1)}
       108:{4,5,7}:{(76,1),(77,1),(132,1),(139,1)}
       109:{1,4,6,7}:{(78,1),(79,1),(139,1),(140,1)}
       110:{3,5,7}:{(79,1),(80,1),(81,1),(140,1),(141,1)}
       111:{2,5,6}:{(80,1),(82,1),(141,1)}
       112:{2,4,7}:{(81,1),(82,1),(134,1),(141,1)}
       113:{1,3,7}:{(83,1),(142,1),(153,1),(189,1)}
       114:{1,2,4,6}:{(83,1),(84,1),(85,1),(94,1),(142,1),(143,1),(182,1)}
       115:{1,4,6,7}:{(84,1),(86,1),(95,1),(144,1),(152,1),(156,1),(184,1),(188,1)}
       116:{1,5}:{(84,1),(87,1)}
       117:{2,3,5}:{(85,1),(87,1),(143,1),(146,1),(183,1),(186,1)}
       118:{3,5,7}:{(86,1),(87,1),(88,1),(144,1),(147,1),(148,1)}
       119:{4,5}:{(87,1),(100,1)}
       120:{2,5,6}:{(88,1),(147,1),(149,1),(206,1)}
       121:{2,4,5,7}:{(88,1),(89,1),(90,1),(148,1),(149,1),(150,1)}
       122:{3,5}:{(89,1),(91,1),(151,1)}
       123:{3,4,7}:{(90,1),(91,1),(101,1),(150,1),(152,1)}
       124:{1,4,6}:{(91,1),(92,1),(102,1),(151,1),(152,1),(188,1)}
       125:{1,2,4}:{(92,1),(93,1),(104,1),(153,1)}
       126:{1,2,6,7}:{(94,1),(95,1),(97,1),(154,1),(160,1),(194,1),(206,1)}
       127:{1,2,5,6}:{(94,1),(96,1),(98,1),(143,1),(154,1),(155,1),(163,1),(186,1),(206,1)}
       128:{1,3,5,7}:{(95,1),(96,1),(99,1),(144,1),(154,1),(156,1),(185,1),(189,1)}
       129:{1,4,6}:{(96,1),(100,1),(145,1),(156,1),(157,1),(182,1)}
       130:{2,3,5,7}:{(97,1),(98,1),(99,1),(105,1),(154,1),(158,1),(162,1),(189,1)}
       131:{2,4,6}:{(98,1),(100,1),(146,1),(158,1),(159,1)}
       132:{4,7}:{(99,1),(100,1)}
       133:{1,3,7}:{(101,1),(102,1),(152,1),(160,1)}
       134:{2,3,7}:{(101,1),(103,1),(112,1),(160,1)}
       135:{1,2,6}:{(102,1),(103,1),(104,1),(160,1)}
       136:{2,5,6,7}:{(105,1),(107,1),(161,1),(164,1)}
       137:{2,4,5,7}:{(105,1),(106,1),(108,1),(158,1),(161,1),(162,1)}
       138:{3,5,6}:{(106,1),(159,1),(162,1),(163,1)}
       139:{4,6,7}:{(107,1),(108,1)}
       140:{3,6,7}:{(109,1),(110,1),(164,1)}
       141:{2,5,7}:{(110,1),(111,1),(112,1),(164,1)}
       142:{1,3,6}:{(113,1),(114,1),(165,1),(175,1)}
       143:{1,2,5}:{(114,1),(116,1),(117,1),(165,1)}
       144:{1,5,7}:{(115,1),(116,1),(118,1),(167,1)}
       145:{1,4,5}:{(116,1),(119,1),(129,1),(169,1)}
       146:{2,4,5}:{(117,1),(119,1),(131,1),(170,1)}
       147:{3,5,6}:{(118,1),(120,1),(167,1),(171,1),(172,1),(198,1)}
       148:{4,5,7}:{(118,1),(119,1),(132,1),(171,1)}
       149:{2,4,6}:{(120,1),(121,1),(171,1),(172,1)}
       150:{3,5,7}:{(121,1),(122,1),(123,1),(172,1),(173,1)}
       151:{1,5}:{(122,1),(124,1)}
       152:{1,4,7}:{(123,1),(124,1),(133,1),(173,1)}
       153:{1,3}:{(125,1)}
       154:{1,2,5,7}:{(126,1),(127,1),(128,1),(130,1),(174,1),(181,1),(199,1)}
       155:{1,2,4,6}:{(127,1),(129,1),(131,1),(166,1),(174,1),(175,1),(177,1),(179,1),(202,1)}
       156:{1,4,7}:{(128,1),(129,1),(132,1),(176,1)}
       157:{3,4,6}:{(129,1),(169,1),(175,1),(176,1),(177,1),(195,1),(198,1)}
       158:{2,4,7}:{(130,1),(131,1),(132,1),(178,1)}
       159:{3,4,6}:{(131,1),(138,1),(170,1),(175,1),(178,1),(179,1)}
       160:{1,2,7}:{(133,1),(134,1),(135,1)}
       161:{2,4,6,7}:{(136,1),(137,1),(139,1),(180,1)}
       162:{3,5,7}:{(137,1),(138,1),(178,1),(180,1),(181,1)}
       163:{1,5,6}:{(138,1),(179,1),(181,1)}
       164:{2,6,7}:{(140,1),(141,1)}
       165:{1,3,5}:{(142,1),(143,1),(182,1),(183,1)}
       166:{1,2,4,5}:{(143,1),(145,1),(146,1),(155,1),(182,1),(183,1),(186,1),(187,1),(204,1),(205,1)}
       167:{1,5,6}:{(144,1),(147,1),(184,1),(188,1)}
       168:{1,4,5,7}:{(144,1),(145,1),(148,1),(156,1),(184,1),(185,1)}
       169:{3,5}:{(145,1),(157,1),(186,1)}
       170:{3,4,5}:{(146,1),(159,1),(183,1),(187,1)}
       171:{4,6}:{(147,1),(148,1)}
       172:{3,6}:{(149,1),(150,1),(188,1)}
       173:{1,5,7}:{(150,1),(151,1),(152,1),(188,1)}
       174:{1,2,4,7}:{(154,1),(155,1),(156,1),(158,1),(189,1),(192,1),(193,1),(207,1)}
       175:{3,6}:{(155,1),(183,1),(189,1)}
       176:{3,4,7}:{(156,1),(157,1),(185,1),(189,1),(192,1)}
       177:{2,4,6}:{(157,1),(186,1),(191,1),(192,1),(204,1),(206,1)}
       178:{3,4,7}:{(158,1),(159,1),(162,1),(189,1),(193,1)}
       179:{1,4,6}:{(159,1),(163,1),(187,1),(190,1),(193,1)}
       180:{3,6,7}:{(161,1),(162,1),(194,1)}
       181:{1,5,7}:{(162,1),(163,1),(193,1),(194,1)}
       182:{1,4}:{(165,1),(195,1)}
       183:{3,5}:{(166,1),(175,1),(195,1)}
       184:{1,4,6}:{(167,1),(168,1),(171,1),(198,1)}
       185:{3,5,7}:{(168,1),(169,1),(176,1),(198,1),(199,1)}
       186:{2,5}:{(169,1),(177,1)}
       187:{1,4,5}:{(170,1),(179,1),(196,1)}
       188:{1,6}:{(172,1),(173,1)}
       189:{3,7}:{(174,1),(175,1)}
       190:{1,3,6}:{(175,1),(179,1),(196,1),(200,1),(202,1)}
       191:{2,3,6}:{(175,1),(177,1),(197,1),(201,1),(202,1)}
       192:{2,4,7}:{(176,1),(177,1),(199,1),(201,1)}
       193:{1,4,7}:{(178,1),(179,1),(181,1),(200,1)}
       194:{1,6,7}:{(180,1),(181,1)}
       195:{3,4}:{(182,1),(183,1),(204,1)}
       196:{1,3,5}:{(183,1),(187,1),(190,1),(203,1),(205,1)}
       197:{2,3,5}:{(183,1),(186,1),(191,1),(204,1),(205,1),(209,1)}
       198:{3,6}:{(184,1),(185,1),(206,1)}
       199:{2,5,7}:{(185,1),(186,1),(192,1),(206,1)}
       200:{1,3,7}:{(189,1),(190,1),(193,1),(207,1)}
       201:{2,3,7}:{(189,1),(191,1),(192,1),(207,1)}
       202:{1,2,6}:{(190,1),(191,1),(205,1),(207,1)}
       203:{1,3,4}:{(195,1),(196,1),(208,1)}
       204:{2,4}:{(195,1),(197,1)}
       205:{1,2,5}:{(196,1),(197,1),(202,1),(208,1)}
       206:{2,6}:{(198,1),(199,1)}
       207:{1,2,7}:{(200,1),(201,1),(202,1)}
       208:{1,2,4}:{(203,1),(204,1),(205,1),(209,1)}
       209:{2,3}:{(208,1)}

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

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

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

 430 :  0:{1,2,6,7}:{(3,1),(5,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(38,1),(39,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(17,1),(20,1),(21,1),(25,1),(38,1),(39,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{3,5,6}:{(1,1),(9,1),(10,1),(13,1),(26,1),(28,1),(45,1)}
        5:{1,2,5,7}:{(0,1),(1,1),(9,1),(12,1),(46,1),(47,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(30,1),(31,1),(35,1)}
        7:{3,5}:{(2,1),(11,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(18,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(18,1),(22,1)}
       10:{4,6}:{(4,1),(17,1),(18,1)}
       11:{3,4}:{(7,1),(20,1),(21,1),(43,1)}
       12:{1,2,4,7}:{(5,1),(6,1),(18,1),(22,1),(40,1),(41,1),(44,1)}
       13:{3,6}:{(6,1),(7,1),(22,1)}
       14:{1,3,5}:{(7,1),(20,1),(23,1),(25,1),(38,1),(43,1),(54,1)}
       15:{2,3,5}:{(7,1),(21,1),(24,1),(25,1),(39,1),(43,1),(54,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,5}:{(10,1),(28,1),(58,1)}
       18:{4,7}:{(9,1),(10,1)}
       19:{3,4,6}:{(10,1),(11,1),(13,1),(28,1),(29,1),(30,1),(31,1),(45,1),(50,1),(58,1),(61,1)}
       20:{1,4}:{(11,1),(14,1),(58,1)}
       21:{2,4}:{(11,1),(15,1),(58,1)}
       22:{3,7}:{(12,1),(13,1)}
       23:{1,3,6}:{(13,1),(14,1),(30,1),(33,1),(35,1),(50,1)}
       24:{2,3,6}:{(13,1),(15,1),(31,1),(34,1),(35,1),(50,1)}
       25:{1,2,5}:{(14,1),(15,1),(32,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(18,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,5}:{(17,1),(19,1),(38,1),(39,1),(62,1)}
       29:{3,4,7}:{(18,1),(19,1),(22,1),(37,1),(40,1),(41,1),(55,1),(60,1)}
       30:{1,4,6}:{(19,1),(20,1),(23,1),(38,1),(40,1),(51,1)}
       31:{2,4,6}:{(19,1),(21,1),(24,1),(39,1),(41,1),(52,1)}
       32:{1,2,4}:{(20,1),(21,1),(25,1),(43,1)}
       33:{1,3,7}:{(22,1),(23,1),(40,1),(44,1),(55,1)}
       34:{2,3,7}:{(22,1),(24,1),(41,1),(44,1),(55,1)}
       35:{1,2,6}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(45,1),(46,1),(47,1)}
       38:{1,5}:{(28,1),(30,1)}
       39:{2,5}:{(28,1),(31,1)}
       40:{1,4,7}:{(29,1),(30,1),(33,1),(46,1)}
       41:{2,4,7}:{(29,1),(31,1),(34,1),(47,1)}
       42:{1,2,4,6}:{(30,1),(31,1),(32,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       43:{3}:{(32,1)}
       44:{1,2,7}:{(33,1),(34,1),(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(40,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(41,1),(52,1)}
       48:{1,2,5}:{(38,1),(39,1),(42,1),(54,1),(62,1)}
       49:{1,2,4,7}:{(40,1),(41,1),(42,1),(44,1),(53,1),(55,1),(60,1)}
       50:{3,6}:{(42,1),(43,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,5}:{(48,1),(50,1),(58,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(54,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

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

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

 433 :   0:{1,3,5,7}:{(2,1),(3,1),(4,1),(5,1),(18,1),(22,1),(48,1)}
         1:{1,4,5,7}:{(3,1),(5,1),(6,1),(22,1),(24,1),(50,1),(52,1)}
         2:{1,2,5,7}:{(0,1),(7,1),(8,1),(9,1),(13,1),(33,1),(55,1)}
         3:{1,4,7}:{(0,1),(10,1),(11,1),(63,1),(88,1)}
         4:{1,3,6}:{(0,1),(9,1),(11,1),(14,1),(32,1),(99,1)}
         5:{3,5,7}:{(1,1),(10,1),(13,1),(14,1),(35,1)}
         6:{1,4,6}:{(1,1),(14,1),(15,1),(39,1)}
         7:{2,3,5,7}:{(2,1),(16,1),(17,1),(18,1),(40,1),(44,1),(48,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(16,1),(18,1),(19,1),(20,1),(42,1),(45,1)}
         9:{1,2,6}:{(2,1),(4,1),(17,1),(25,1),(69,1),(103,1)}
        10:{3,4,7}:{(3,1),(5,1),(18,1),(20,1),(21,1),(52,1),(77,1)}
        11:{1,4,6}:{(3,1),(4,1),(21,1),(22,1),(78,1),(95,1)}
        12:{1,4,6,7}:{(6,1),(23,1),(24,1),(52,1)}
        13:{2,5,7}:{(5,1),(20,1),(25,1),(49,1)}
        14:{3,6}:{(5,1),(6,1),(25,1)}
        15:{1,5,6}:{(6,1),(22,1),(24,1),(26,1),(78,1)}
        16:{2,4,7}:{(7,1),(28,1),(29,1),(63,1),(104,1)}
        17:{2,3,6}:{(7,1),(9,1),(29,1),(32,1),(56,1),(100,1)}
        18:{3,7}:{(8,1),(32,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(11,1),(29,1),(32,1),(33,1),(34,1),(58,1),(60,1),(63,1),(84,1)}
        20:{2,4,7}:{(10,1),(13,1),(31,1),(34,1)}
        21:{3,4,6}:{(10,1),(11,1),(14,1),(32,1),(34,1),(35,1),(39,1),(63,1),(66,1),(86,1)}
        22:{1,5}:{(11,1),(35,1)}
        23:{3,6,7}:{(12,1),(14,1),(36,1),(37,1)}
        24:{1,5,7}:{(12,1),(15,1),(37,1),(88,1)}
        25:{2,6}:{(13,1),(14,1)}
        26:{3,5,6}:{(14,1),(15,1),(35,1),(37,1),(38,1),(39,1),(66,1)}
        27:{2,4,5,7}:{(16,1),(40,1),(41,1),(44,1),(68,1),(72,1),(90,1)}
        28:{3,4,7}:{(16,1),(18,1),(40,1),(42,1),(43,1),(90,1),(101,1)}
        29:{2,4,6}:{(16,1),(17,1),(43,1),(44,1),(94,1),(102,1)}
        30:{1,3,7}:{(18,1),(42,1),(45,1),(46,1),(101,1)}
        31:{2,3,7}:{(18,1),(20,1),(45,1),(47,1),(77,1)}
        32:{3,6}:{(18,1),(19,1),(48,1),(93,1)}
        33:{1,2,5}:{(19,1),(22,1),(44,1),(48,1),(49,1),(71,1)}
        34:{2,4,6}:{(20,1),(21,1),(25,1),(47,1),(49,1),(75,1)}
        35:{3,5}:{(21,1),(22,1),(49,1),(50,1)}
        36:{2,6,7}:{(23,1),(25,1),(51,1)}
        37:{3,5,7}:{(23,1),(24,1),(26,1),(51,1),(52,1),(77,1)}
        38:{2,5,6}:{(25,1),(26,1),(49,1),(51,1),(53,1)}
        39:{4,6}:{(26,1),(50,1),(52,1)}
        40:{3,5,7}:{(27,1),(28,1),(55,1),(56,1),(59,1)}
        41:{2,4,6}:{(27,1),(56,1),(57,1),(82,1)}
        42:{1,4,7}:{(28,1),(30,1),(55,1),(58,1)}
        43:{3,4,6}:{(28,1),(29,1),(32,1),(56,1),(58,1),(59,1),(63,1),(82,1),(85,1),(97,1)}
        44:{2,5}:{(29,1),(59,1)}
        45:{1,2,7}:{(30,1),(31,1),(60,1),(88,1),(104,1)}
        46:{1,3,6}:{(30,1),(32,1),(58,1),(60,1),(61,1),(97,1)}
        47:{2,3,6}:{(31,1),(32,1),(34,1),(60,1),(62,1),(66,1)}
        48:{3,5}:{(32,1),(33,1),(63,1)}
        49:{2,5}:{(34,1),(35,1)}
        50:{4,5}:{(35,1),(39,1),(63,1)}
        51:{2,5,7}:{(36,1),(37,1),(38,1),(65,1)}
        52:{4,7}:{(37,1),(39,1)}
        53:{2,4,6}:{(38,1),(39,1),(64,1),(65,1),(66,1)}
        54:{2,4,6,7}:{(41,1),(67,1),(68,1),(90,1)}
        55:{1,5,7}:{(40,1),(42,1),(69,1),(71,1)}
        56:{3,6}:{(40,1),(41,1),(69,1)}
        57:{2,5,6}:{(41,1),(44,1),(68,1),(70,1),(102,1)}
        58:{1,4,6}:{(42,1),(43,1),(46,1),(69,1),(71,1),(74,1)}
        59:{3,5}:{(43,1),(44,1),(71,1),(72,1)}
        60:{1,2,6}:{(45,1),(46,1),(47,1),(73,1),(78,1),(102,1)}
        61:{1,3,5}:{(46,1),(48,1),(71,1),(73,1),(74,1),(92,1),(93,1)}
        62:{2,3,5}:{(47,1),(48,1),(49,1),(73,1),(75,1),(76,1),(93,1)}
        63:{4}:{(48,1)}
        64:{2,4,5}:{(49,1),(50,1),(53,1),(75,1),(76,1)}
        65:{2,4,7}:{(51,1),(52,1),(53,1),(77,1)}
        66:{3,6}:{(53,1),(76,1),(77,1),(78,1)}
        67:{3,6,7}:{(54,1),(56,1),(79,1),(80,1)}
        68:{2,5,7}:{(54,1),(57,1),(80,1),(104,1)}
        69:{1,6}:{(55,1),(56,1)}
        70:{3,5,6}:{(56,1),(57,1),(59,1),(80,1),(81,1),(82,1),(97,1)}
        71:{1,5}:{(58,1),(59,1)}
        72:{4,5}:{(59,1),(63,1),(82,1)}
        73:{1,2,5}:{(60,1),(61,1),(62,1),(84,1),(87,1),(98,1)}
        74:{1,4}:{(61,1),(63,1),(85,1)}
        75:{2,4}:{(62,1),(63,1),(86,1)}
        76:{3,5}:{(64,1),(66,1),(86,1),(87,1)}
        77:{3,7}:{(65,1),(66,1),(88,1)}
        78:{1,6}:{(66,1),(87,1),(88,1)}
        79:{1,6,7}:{(67,1),(69,1),(89,1)}
        80:{3,5,7}:{(67,1),(68,1),(70,1),(89,1),(90,1),(101,1)}
        81:{1,5,6}:{(69,1),(70,1),(71,1),(89,1),(91,1)}
        82:{4,6}:{(70,1),(72,1),(90,1)}
        83:{1,4,5}:{(71,1),(72,1),(74,1),(91,1),(92,1)}
        84:{1,2,4}:{(73,1),(74,1),(75,1),(93,1),(94,1),(95,1),(103,1)}
        85:{3,4}:{(74,1),(92,1),(93,1),(94,1)}
        86:{3,4}:{(75,1),(76,1),(93,1),(95,1)}
        87:{1,5}:{(76,1),(78,1),(95,1)}
        88:{1,7}:{(77,1),(78,1)}
        89:{1,5,7}:{(79,1),(80,1),(81,1),(96,1)}
        90:{4,7}:{(80,1),(82,1)}
        91:{1,4,6}:{(81,1),(82,1),(83,1),(96,1),(97,1)}
        92:{3,5}:{(83,1),(85,1),(97,1),(98,1)}
        93:{3}:{(84,1)}
        94:{2,4}:{(85,1),(98,1),(100,1)}
        95:{1,4}:{(86,1),(87,1),(99,1)}
        96:{1,4,7}:{(89,1),(90,1),(91,1),(101,1)}
        97:{3,6}:{(91,1),(92,1),(101,1),(102,1)}
        98:{2,5}:{(92,1),(94,1),(102,1)}
        99:{1,3}:{(93,1),(95,1),(103,1)}
       100:{2,3}:{(93,1),(94,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{2,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{2,7}:{(101,1),(102,1)}

 434 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
        1:{3,6}:{(0,1),(4,1),(5,1),(6,1)}
        2:{2,5}:{(0,1),(5,1),(21,1),(24,1)}
        3:{2,4,7}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
        4:{1,6}:{(1,1),(8,1),(9,1)}
        5:{3,5}:{(1,1),(2,1),(8,1),(10,1),(17,1)}
        6:{3,7}:{(1,1),(3,1),(9,1),(33,1)}
        7:{2,5,7}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
        8:{1,5}:{(4,1),(5,1),(13,1)}
        9:{1,7}:{(4,1),(6,1),(34,1)}
       10:{4}:{(5,1)}
       11:{3,5,7}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
       12:{2,6}:{(7,1),(16,1)}
       13:{1,4}:{(8,1),(10,1),(17,1)}
       14:{1,5,7}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
       15:{4,7}:{(10,1),(11,1),(20,1),(31,1)}
       16:{3,6}:{(11,1),(12,1),(19,1),(20,1)}
       17:{3}:{(13,1),(21,1)}
       18:{1,4,7}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
       19:{1,6}:{(14,1),(16,1)}
       20:{4,6}:{(15,1),(16,1),(24,1)}
       21:{2}:{(17,1)}
       22:{3,7}:{(17,1),(18,1),(25,1),(26,1)}
       23:{1,4,6}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
       24:{5}:{(20,1)}
       25:{2,7}:{(21,1),(22,1),(28,1)}
       26:{3,6}:{(22,1),(23,1),(28,1),(29,1)}
       27:{1,5}:{(23,1),(24,1),(29,1),(34,1)}
       28:{2,6}:{(25,1),(26,1),(30,1)}
       29:{3,5}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
       30:{2,5}:{(28,1),(29,1),(32,1)}
       31:{4}:{(29,1)}
       32:{2,4}:{(30,1),(31,1),(33,1)}
       33:{3}:{(32,1),(34,1)}
       34:{1}:{(33,1)}

 435 :   0:{1,4,5,6}:{(1,1),(2,1),(9,1),(87,1),(89,1)}
         1:{3,5,6}:{(0,1),(3,1),(5,1),(6,1)}
         2:{1,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(69,1),(71,1)}
         3:{3,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(41,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(12,1),(13,1),(31,1),(41,1),(80,1),(87,1),(139,1)}
         5:{2,5,6}:{(1,1),(10,1),(14,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(14,1),(15,1)}
         7:{1,4,6,7}:{(2,1),(15,1),(16,1),(50,1)}
         8:{3,4,5}:{(3,1),(17,1),(18,1),(56,1)}
         9:{1,4,6}:{(3,1),(4,1),(17,1),(23,1),(160,1)}
        10:{2,4,6}:{(3,1),(5,1),(18,1),(21,1),(24,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(24,1),(67,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(22,1),(26,1),(27,1),(52,1),(108,1),(117,1),(162,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(23,1),(27,1),(28,1),(67,1),(69,1),(124,1)}
        14:{2,5,7}:{(5,1),(6,1),(24,1),(29,1)}
        15:{3,6,7}:{(6,1),(7,1),(29,1)}
        16:{1,5,6,7}:{(7,1),(30,1),(69,1),(128,1)}
        17:{1,4,5}:{(8,1),(9,1),(31,1),(177,1)}
        18:{2,4,5}:{(8,1),(10,1),(32,1)}
        19:{3,4,5,7}:{(8,1),(11,1),(34,1),(35,1),(36,1),(45,1),(85,1),(145,1),(148,1),(171,1),(177,1)}
        20:{1,3,4,6}:{(9,1),(31,1),(37,1),(38,1),(41,1),(80,1),(84,1),(91,1),(138,1)}
        21:{2,3,6}:{(10,1),(32,1),(39,1),(40,1),(41,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(12,1),(33,1),(39,1),(41,1),(42,1),(46,1),(91,1)}
        23:{1,4,7}:{(9,1),(11,1),(13,1),(148,1)}
        24:{2,4,7}:{(10,1),(11,1),(14,1),(40,1)}
        25:{3,4,6,7}:{(11,1),(15,1),(36,1),(43,1),(44,1),(45,1),(50,1),(97,1),(102,1),(145,1),(148,1)}
        26:{2,3,5,6}:{(12,1),(41,1),(46,1),(47,1),(78,1),(95,1),(133,1),(139,1),(146,1),(150,1),(172,1)}
        27:{1,2,5,7}:{(12,1),(13,1),(14,1),(42,1),(47,1),(48,1),(141,1)}
        28:{1,3,6,7}:{(13,1),(15,1),(43,1),(48,1),(80,1),(97,1),(181,1)}
        29:{2,6,7}:{(14,1),(15,1)}
        30:{3,5,6,7}:{(15,1),(16,1),(45,1),(49,1),(50,1),(102,1)}
        31:{1,3,5}:{(17,1),(20,1),(52,1),(56,1),(117,1),(159,1)}
        32:{2,3,5}:{(18,1),(21,1),(51,1),(54,1),(56,1)}
        33:{1,2,4,5}:{(17,1),(18,1),(22,1),(52,1),(54,1),(56,1),(72,1),(106,1),(109,1),(117,1)}
        34:{1,4,5,7}:{(17,1),(19,1),(23,1),(53,1),(58,1),(69,1),(166,1),(186,1)}
        35:{2,4,5,7}:{(18,1),(19,1),(24,1),(55,1),(59,1),(70,1),(121,1),(153,1)}
        36:{3,4,6}:{(19,1),(58,1),(59,1),(60,1),(114,1),(160,1)}
        37:{1,2,4,6}:{(20,1),(52,1),(61,1),(62,1),(106,1),(108,1),(154,1)}
        38:{1,3,4,7}:{(20,1),(23,1),(53,1),(62,1),(67,1),(113,1),(118,1),(203,1)}
        39:{1,2,6}:{(21,1),(54,1),(63,1),(64,1)}
        40:{2,3,7}:{(21,1),(24,1),(64,1),(67,1)}
        41:{3,6}:{(22,1),(56,1),(67,1)}
        42:{1,2,4,7}:{(22,1),(23,1),(24,1),(27,1),(64,1),(67,1),(73,1),(118,1)}
        43:{1,4,6,7}:{(23,1),(25,1),(28,1),(58,1),(69,1),(128,1),(166,1)}
        44:{2,4,6,7}:{(24,1),(25,1),(29,1),(59,1),(65,1),(70,1),(121,1)}
        45:{3,5,7}:{(25,1),(60,1),(69,1),(70,1),(71,1)}
        46:{2,4,6}:{(26,1),(66,1),(72,1),(73,1),(106,1),(160,1)}
        47:{2,3,5,7}:{(26,1),(27,1),(67,1),(73,1),(74,1),(122,1),(124,1),(127,1)}
        48:{1,2,6,7}:{(27,1),(28,1),(29,1),(74,1),(108,1),(162,1),(194,1)}
        49:{2,5,6,7}:{(29,1),(30,1),(70,1),(75,1)}
        50:{4,6,7}:{(30,1),(71,1)}
        51:{2,3,4}:{(32,1),(76,1),(84,1)}
        52:{1,2,5}:{(31,1),(37,1),(78,1),(172,1)}
        53:{1,3,5,7}:{(31,1),(34,1),(38,1),(79,1),(80,1),(85,1),(141,1),(181,1),(196,1)}
        54:{1,2,5}:{(32,1),(39,1),(76,1),(81,1)}
        55:{2,3,5,7}:{(32,1),(35,1),(40,1),(77,1),(82,1),(83,1),(85,1),(131,1),(202,1)}
        56:{3,5}:{(33,1),(41,1),(84,1)}
        57:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(42,1),(79,1),(82,1),(85,1),(86,1),(98,1),(100,1),(132,1),(134,1),(141,1),(144,1),(148,1),(170,1),(172,1),(173,1),(177,1),(179,1),(202,1)}
        58:{1,4,6}:{(34,1),(36,1),(80,1),(87,1)}
        59:{2,4,6}:{(35,1),(36,1),(83,1),(88,1)}
        60:{3,5,6}:{(36,1),(45,1),(87,1),(88,1),(89,1)}
        61:{2,3,6}:{(37,1),(41,1),(78,1),(90,1)}
        62:{1,2,4,7}:{(37,1),(38,1),(79,1),(90,1),(132,1),(208,1)}
        63:{1,3,6}:{(39,1),(41,1),(81,1),(91,1),(92,1)}
        64:{1,2,7}:{(39,1),(40,1),(92,1)}
        65:{2,3,6,7}:{(40,1),(44,1),(83,1),(93,1),(94,1),(97,1),(102,1)}
        66:{3,4,6}:{(41,1),(46,1),(84,1),(91,1),(95,1),(96,1),(146,1)}
        67:{3,7}:{(41,1),(42,1)}
        68:{1,2,4,6,7}:{(42,1),(43,1),(44,1),(48,1),(86,1),(93,1),(97,1),(98,1),(101,1),(142,1),(144,1),(148,1)}
        69:{1,5,7}:{(43,1),(45,1),(87,1)}
        70:{2,5,7}:{(44,1),(45,1),(88,1)}
        71:{4,5,7}:{(45,1),(50,1),(89,1),(148,1)}
        72:{2,4,5}:{(46,1),(95,1),(172,1),(177,1)}
        73:{2,4,7}:{(46,1),(47,1),(96,1),(148,1)}
        74:{2,3,6,7}:{(47,1),(48,1),(97,1),(101,1),(133,1),(146,1),(182,1)}
        75:{2,4,6,7}:{(49,1),(50,1),(99,1),(102,1)}
        76:{1,2,4}:{(51,1),(54,1),(103,1),(109,1)}
        77:{2,3,4,7}:{(51,1),(55,1),(104,1),(105,1),(113,1),(121,1),(165,1),(193,1)}
        78:{2,3,5}:{(52,1),(56,1),(61,1),(106,1)}
        79:{1,2,5,7}:{(52,1),(53,1),(62,1),(107,1),(108,1),(194,1),(205,1)}
        80:{1,3,6}:{(53,1),(58,1),(108,1),(114,1),(162,1)}
        81:{1,3,5}:{(54,1),(56,1),(63,1),(103,1),(109,1),(117,1)}
        82:{1,2,5,7}:{(54,1),(55,1),(64,1),(104,1),(110,1),(111,1),(152,1)}
        83:{2,3,6}:{(55,1),(59,1),(111,1),(114,1),(207,1)}
        84:{3,4}:{(56,1),(106,1),(109,1)}
        85:{3,5,7}:{(56,1),(57,1),(67,1),(113,1),(114,1),(159,1),(165,1),(185,1)}
        86:{1,2,4,6}:{(57,1),(58,1),(59,1),(108,1),(111,1),(114,1),(115,1),(126,1),(154,1),(155,1),(160,1),(162,1),(191,1),(207,1)}
        87:{1,5,6}:{(58,1),(60,1),(69,1)}
        88:{2,5,6}:{(59,1),(60,1),(70,1)}
        89:{4,5,6}:{(60,1),(71,1),(160,1)}
        90:{2,3,7}:{(61,1),(62,1),(67,1),(209,1)}
        91:{1,4,6}:{(63,1),(66,1),(109,1),(117,1),(118,1),(162,1)}
        92:{1,3,7}:{(63,1),(64,1),(67,1),(118,1)}
        93:{1,2,6,7}:{(64,1),(65,1),(111,1),(119,1),(120,1),(128,1),(207,1)}
        94:{2,3,5,7}:{(65,1),(70,1),(112,1),(120,1),(121,1),(124,1),(125,1),(165,1)}
        95:{3,5}:{(66,1),(72,1),(117,1)}
        96:{3,4,7}:{(66,1),(67,1),(73,1),(118,1),(122,1)}
        97:{3,6,7}:{(67,1),(68,1),(114,1),(124,1),(165,1)}
        98:{1,2,5,7}:{(68,1),(69,1),(70,1),(115,1),(124,1),(127,1),(163,1)}
        99:{2,4,5,7}:{(70,1),(71,1),(75,1),(116,1),(121,1),(125,1)}
       100:{2,4,5,7}:{(72,1),(73,1),(122,1),(126,1),(127,1),(168,1)}
       101:{2,4,6,7}:{(73,1),(74,1),(123,1),(126,1),(127,1),(154,1),(193,1),(207,1)}
       102:{3,6,7}:{(75,1),(125,1),(128,1)}
       103:{1,3}:{(76,1)}
       104:{1,2,4,7}:{(76,1),(77,1),(82,1),(129,1),(130,1),(134,1)}
       105:{2,3,4,6}:{(77,1),(83,1),(130,1),(131,1),(137,1),(138,1),(175,1),(195,1),(199,1)}
       106:{2,4}:{(78,1),(84,1)}
       107:{2,3,5,7}:{(78,1),(79,1),(85,1),(90,1),(132,1),(133,1),(172,1),(182,1),(197,1),(202,1)}
       108:{1,2,6}:{(79,1),(80,1),(133,1)}
       109:{1,4}:{(81,1),(84,1)}
       110:{1,3,5,7}:{(81,1),(82,1),(85,1),(92,1),(129,1),(134,1),(135,1),(141,1),(169,1),(173,1)}
       111:{1,2,6}:{(82,1),(83,1),(135,1)}
       112:{2,3,5,6}:{(83,1),(88,1),(94,1),(131,1),(136,1),(137,1),(139,1),(140,1),(175,1)}
       113:{3,4,7}:{(84,1),(85,1),(132,1),(134,1),(138,1),(148,1),(195,1)}
       114:{3,6}:{(85,1),(86,1)}
       115:{1,2,5,6}:{(86,1),(87,1),(88,1),(98,1),(139,1),(150,1),(172,1),(173,1),(178,1)}
       116:{2,4,5,6}:{(88,1),(89,1),(99,1),(137,1),(140,1)}
       117:{1,5}:{(91,1),(95,1)}
       118:{1,4,7}:{(91,1),(92,1),(96,1),(141,1)}
       119:{1,3,6,7}:{(92,1),(93,1),(97,1),(135,1),(142,1),(143,1),(201,1)}
       120:{1,2,5,7}:{(93,1),(94,1),(136,1),(143,1),(144,1),(149,1),(202,1)}
       121:{2,4,7}:{(94,1),(137,1),(145,1),(148,1)}
       122:{3,5,7}:{(95,1),(96,1),(100,1),(141,1),(146,1)}
       123:{3,4,6,7}:{(96,1),(97,1),(101,1),(138,1),(142,1),(146,1),(147,1),(148,1),(180,1),(183,1),(201,1)}
       124:{3,5,7}:{(97,1),(98,1),(139,1),(148,1)}
       125:{3,5,7}:{(99,1),(102,1),(140,1),(145,1),(149,1)}
       126:{2,4,6}:{(100,1),(146,1),(150,1),(183,1)}
       127:{2,5,7}:{(101,1),(147,1),(150,1),(172,1)}
       128:{1,6,7}:{(102,1),(149,1)}
       129:{1,3,7}:{(103,1),(104,1),(151,1),(165,1)}
       130:{1,2,4,6}:{(104,1),(105,1),(111,1),(151,1),(152,1),(155,1),(184,1)}
       131:{2,3,5}:{(105,1),(152,1),(153,1),(159,1),(185,1),(206,1)}
       132:{2,4,7}:{(106,1),(107,1),(113,1),(154,1),(204,1)}
       133:{2,3,6}:{(107,1),(108,1),(114,1),(154,1),(207,1)}
       134:{1,4,7}:{(109,1),(110,1),(113,1),(155,1),(184,1)}
       135:{1,3,6}:{(110,1),(111,1),(114,1),(155,1),(162,1)}
       136:{1,2,5,6}:{(111,1),(112,1),(120,1),(152,1),(156,1),(157,1),(161,1),(206,1),(207,1)}
       137:{2,4,6}:{(112,1),(121,1),(153,1),(158,1),(160,1)}
       138:{3,4,6}:{(113,1),(114,1),(154,1),(155,1),(159,1),(160,1)}
       139:{3,5,6}:{(114,1),(115,1),(124,1),(159,1),(160,1)}
       140:{3,5,6}:{(116,1),(125,1),(158,1),(161,1)}
       141:{1,5,7}:{(117,1),(118,1),(122,1),(162,1)}
       142:{1,4,6,7}:{(118,1),(119,1),(123,1),(155,1),(162,1),(163,1),(164,1),(191,1)}
       143:{1,3,5,7}:{(119,1),(120,1),(124,1),(156,1),(163,1),(164,1),(165,1),(192,1)}
       144:{1,2,4,7}:{(120,1),(121,1),(157,1),(164,1),(165,1),(166,1),(193,1),(194,1)}
       145:{3,4,7}:{(121,1),(125,1),(158,1),(165,1),(166,1)}
       146:{3,6}:{(122,1),(126,1),(162,1)}
       147:{3,5,7}:{(123,1),(127,1),(159,1),(163,1),(167,1),(168,1)}
       148:{4,7}:{(124,1),(160,1)}
       149:{1,5,7}:{(125,1),(128,1),(161,1),(166,1)}
       150:{2,5,6}:{(126,1),(127,1),(167,1),(207,1)}
       151:{1,3,6}:{(129,1),(130,1),(169,1),(175,1)}
       152:{1,2,5}:{(130,1),(131,1),(169,1),(173,1)}
       153:{2,4,5}:{(131,1),(137,1),(171,1),(177,1)}
       154:{2,4,6}:{(132,1),(133,1),(138,1),(172,1)}
       155:{1,4,6}:{(134,1),(135,1),(138,1),(173,1)}
       156:{1,3,5,6}:{(135,1),(136,1),(139,1),(143,1),(169,1),(173,1),(174,1),(175,1),(178,1),(198,1),(201,1)}
       157:{1,2,4,6}:{(136,1),(137,1),(144,1),(170,1),(174,1),(175,1),(176,1),(199,1),(200,1)}
       158:{3,4,6}:{(137,1),(140,1),(145,1),(171,1),(175,1),(176,1)}
       159:{3,5}:{(138,1),(172,1),(173,1),(177,1)}
       160:{4,6}:{(139,1),(148,1),(177,1)}
       161:{1,5,6}:{(140,1),(149,1),(176,1)}
       162:{1,6}:{(141,1),(146,1)}
       163:{1,5,7}:{(142,1),(147,1),(173,1),(178,1)}
       164:{1,4,7}:{(143,1),(148,1),(174,1),(180,1)}
       165:{3,7}:{(144,1),(175,1)}
       166:{1,4,7}:{(145,1),(149,1),(176,1),(181,1)}
       167:{3,5,6}:{(146,1),(147,1),(150,1),(178,1),(183,1),(201,1)}
       168:{4,5,7}:{(147,1),(148,1),(177,1),(183,1)}
       169:{1,3,5}:{(151,1),(152,1),(184,1),(185,1)}
       170:{1,2,4,5}:{(152,1),(153,1),(157,1),(184,1),(185,1),(186,1),(187,1),(204,1),(205,1),(206,1)}
       171:{3,4,5}:{(153,1),(158,1),(185,1),(186,1)}
       172:{2,5}:{(154,1),(159,1)}
       173:{1,5}:{(155,1),(159,1)}
       174:{1,4,6}:{(156,1),(160,1),(164,1),(184,1),(187,1),(188,1)}
       175:{3,6}:{(157,1),(165,1),(185,1)}
       176:{1,4,6}:{(158,1),(161,1),(166,1),(186,1),(189,1)}
       177:{4,5}:{(159,1),(160,1)}
       178:{1,5,6}:{(162,1),(163,1),(167,1),(191,1)}
       179:{1,4,5,7}:{(163,1),(164,1),(168,1),(187,1),(191,1),(192,1)}
       180:{3,4,7}:{(164,1),(165,1),(188,1),(192,1),(193,1)}
       181:{1,3,7}:{(165,1),(166,1),(189,1),(194,1)}
       182:{2,3,7}:{(165,1),(190,1),(193,1),(194,1)}
       183:{4,6}:{(167,1),(168,1)}
       184:{1,4}:{(169,1),(195,1)}
       185:{3,5}:{(170,1),(175,1),(195,1)}
       186:{1,4,5}:{(171,1),(176,1),(196,1)}
       187:{1,4,5}:{(173,1),(174,1),(177,1),(198,1)}
       188:{3,4,6}:{(174,1),(175,1),(180,1),(195,1),(198,1),(199,1),(201,1)}
       189:{1,3,6}:{(175,1),(176,1),(181,1),(196,1),(200,1)}
       190:{2,3,6}:{(175,1),(182,1),(197,1),(199,1),(200,1)}
       191:{1,4,6}:{(178,1),(179,1),(183,1),(201,1)}
       192:{3,5,7}:{(179,1),(180,1),(198,1),(201,1),(202,1)}
       193:{2,4,7}:{(180,1),(182,1),(199,1),(202,1)}
       194:{1,2,7}:{(181,1),(182,1),(200,1)}
       195:{3,4}:{(184,1),(185,1),(204,1)}
       196:{1,3,5}:{(185,1),(186,1),(189,1),(203,1),(205,1)}
       197:{2,3,5}:{(185,1),(190,1),(204,1),(205,1),(206,1),(209,1)}
       198:{3,5}:{(187,1),(188,1),(206,1)}
       199:{2,4,6}:{(188,1),(190,1),(193,1),(204,1),(206,1),(207,1)}
       200:{1,2,6}:{(189,1),(190,1),(194,1),(205,1)}
       201:{3,6}:{(191,1),(192,1),(207,1)}
       202:{2,5,7}:{(192,1),(193,1),(206,1),(207,1)}
       203:{1,3,4}:{(195,1),(196,1),(208,1)}
       204:{2,4}:{(195,1),(197,1)}
       205:{1,2,5}:{(196,1),(197,1),(200,1),(208,1)}
       206:{2,5}:{(198,1),(199,1)}
       207:{2,6}:{(201,1),(202,1)}
       208:{1,2,4}:{(203,1),(204,1),(205,1),(209,1)}
       209:{2,3}:{(208,1)}

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

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

 438 :   0:{2,4,5,6}:{(2,1),(3,1),(21,1),(79,1),(80,1)}
         1:{2,3,4,6}:{(5,1),(6,1),(7,1),(21,1),(35,1),(62,1),(75,1),(111,1),(127,1)}
         2:{3,5,6}:{(0,1),(8,1),(9,1),(11,1)}
         3:{2,4,5,7}:{(0,1),(11,1),(12,1),(41,1),(93,1),(94,1)}
         4:{3,4,5}:{(8,1),(13,1),(14,1),(50,1)}
         5:{2,3,5}:{(1,1),(14,1),(16,1),(50,1),(134,1),(150,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(19,1),(55,1),(57,1),(107,1)}
         7:{2,3,4,7}:{(1,1),(17,1),(19,1),(41,1),(90,1),(103,1),(135,1),(198,1)}
         8:{3,4,6}:{(2,1),(4,1),(20,1),(21,1),(22,1),(62,1)}
         9:{1,5,6}:{(2,1),(20,1),(24,1)}
        10:{2,3,5,6}:{(2,1),(5,1),(21,1),(23,1),(25,1),(35,1),(62,1),(79,1),(128,1)}
        11:{3,5,7}:{(2,1),(3,1),(22,1),(24,1),(26,1)}
        12:{2,4,6,7}:{(3,1),(26,1),(27,1),(71,1)}
        13:{1,4,5}:{(4,1),(20,1),(28,1)}
        14:{2,4,5}:{(4,1),(5,1),(21,1),(170,1)}
        15:{3,4,5,7}:{(4,1),(22,1),(30,1),(31,1),(32,1),(66,1),(76,1),(155,1),(160,1),(163,1),(170,1)}
        16:{1,2,5}:{(5,1),(6,1),(33,1),(130,1)}
        17:{2,3,5,7}:{(5,1),(7,1),(31,1),(34,1),(35,1),(76,1),(156,1),(187,1),(192,1)}
        18:{1,3,6}:{(6,1),(33,1),(36,1),(62,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(34,1),(36,1),(81,1),(205,1)}
        20:{1,4,6}:{(8,1),(9,1),(13,1),(38,1),(40,1)}
        21:{2,4,6}:{(8,1),(10,1),(14,1),(41,1),(151,1)}
        22:{3,4,7}:{(8,1),(11,1),(40,1),(41,1),(90,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(16,1),(39,1),(43,1),(44,1),(57,1),(134,1),(174,1)}
        24:{1,5,7}:{(9,1),(11,1),(40,1),(45,1)}
        25:{2,3,5,7}:{(10,1),(11,1),(41,1),(44,1),(46,1),(90,1),(93,1),(141,1)}
        26:{3,6,7}:{(11,1),(12,1),(45,1)}
        27:{2,5,6,7}:{(12,1),(47,1),(93,1),(145,1)}
        28:{1,3,5}:{(13,1),(37,1),(38,1),(48,1),(50,1)}
        29:{1,2,4,5}:{(13,1),(14,1),(16,1),(39,1),(48,1),(50,1),(55,1),(95,1),(99,1),(134,1)}
        30:{1,4,5,7}:{(13,1),(15,1),(40,1),(49,1),(52,1),(92,1),(133,1),(138,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(17,1),(41,1),(53,1),(93,1),(173,1),(178,1)}
        32:{3,4,6}:{(15,1),(52,1),(53,1),(54,1),(104,1),(151,1)}
        33:{1,3,5}:{(16,1),(18,1),(50,1),(55,1)}
        34:{1,2,5,7}:{(16,1),(17,1),(19,1),(56,1),(57,1),(199,1),(203,1)}
        35:{2,3,6}:{(17,1),(53,1),(57,1),(104,1),(174,1)}
        36:{1,3,7}:{(18,1),(19,1),(90,1),(208,1)}
        37:{1,3,4}:{(28,1),(58,1),(75,1)}
        38:{1,3,6}:{(20,1),(28,1),(60,1),(61,1),(62,1)}
        39:{1,2,4,6}:{(20,1),(21,1),(23,1),(29,1),(60,1),(62,1),(63,1),(67,1),(111,1)}
        40:{1,4,7}:{(20,1),(22,1),(24,1),(61,1)}
        41:{2,4,7}:{(21,1),(22,1),(25,1),(163,1)}
        42:{3,4,6,7}:{(22,1),(26,1),(32,1),(64,1),(65,1),(66,1),(71,1),(117,1),(122,1),(160,1),(163,1)}
        43:{1,3,5,6}:{(23,1),(33,1),(62,1),(67,1),(68,1),(82,1),(115,1),(128,1),(130,1),(161,1),(165,1)}
        44:{1,2,5,7}:{(23,1),(24,1),(25,1),(63,1),(68,1),(69,1),(156,1)}
        45:{1,6,7}:{(24,1),(26,1)}
        46:{2,3,6,7}:{(25,1),(26,1),(35,1),(65,1),(69,1),(117,1),(192,1)}
        47:{3,5,6,7}:{(26,1),(27,1),(66,1),(70,1),(71,1),(122,1)}
        48:{1,2,5}:{(28,1),(58,1),(60,1),(72,1)}
        49:{1,3,5,7}:{(28,1),(30,1),(59,1),(61,1),(73,1),(74,1),(76,1),(110,1),(207,1)}
        50:{3,5}:{(29,1),(62,1),(75,1)}
        51:{1,2,4,5,7}:{(29,1),(30,1),(31,1),(34,1),(63,1),(73,1),(76,1),(77,1),(81,1),(118,1),(120,1),(123,1),(130,1),(154,1),(156,1),(159,1),(163,1),(166,1),(170,1),(189,1),(207,1)}
        52:{1,4,6}:{(30,1),(32,1),(74,1),(78,1)}
        53:{2,4,6}:{(31,1),(32,1),(35,1),(79,1)}
        54:{3,5,6}:{(32,1),(66,1),(78,1),(79,1),(80,1)}
        55:{1,4}:{(33,1),(75,1)}
        56:{1,3,5,7}:{(33,1),(34,1),(36,1),(76,1),(81,1),(82,1),(130,1),(186,1),(191,1),(207,1)}
        57:{1,2,6}:{(34,1),(35,1),(82,1)}
        58:{1,2,4}:{(37,1),(48,1),(83,1),(99,1)}
        59:{1,3,4,7}:{(37,1),(49,1),(84,1),(85,1),(103,1),(138,1),(177,1),(202,1)}
        60:{1,2,6}:{(38,1),(48,1),(86,1),(87,1)}
        61:{1,3,7}:{(38,1),(40,1),(87,1),(90,1)}
        62:{3,6}:{(39,1),(50,1),(90,1)}
        63:{1,2,4,7}:{(39,1),(40,1),(41,1),(44,1),(87,1),(90,1),(96,1),(135,1)}
        64:{1,4,6,7}:{(40,1),(42,1),(45,1),(52,1),(88,1),(92,1),(138,1)}
        65:{2,4,6,7}:{(41,1),(42,1),(46,1),(53,1),(93,1),(145,1),(178,1)}
        66:{3,5,7}:{(42,1),(54,1),(92,1),(93,1),(94,1)}
        67:{1,4,6}:{(43,1),(55,1),(89,1),(95,1),(96,1),(151,1)}
        68:{1,3,5,7}:{(43,1),(44,1),(90,1),(96,1),(97,1),(139,1),(141,1),(144,1)}
        69:{1,2,6,7}:{(44,1),(45,1),(46,1),(57,1),(97,1),(174,1),(203,1)}
        70:{1,5,6,7}:{(45,1),(47,1),(92,1),(98,1)}
        71:{4,6,7}:{(47,1),(94,1)}
        72:{2,3,5}:{(48,1),(50,1),(83,1),(86,1),(99,1),(134,1)}
        73:{1,2,5,7}:{(48,1),(49,1),(84,1),(87,1),(100,1),(101,1),(132,1)}
        74:{1,3,6}:{(49,1),(52,1),(101,1),(104,1),(209,1)}
        75:{3,4}:{(50,1),(55,1),(99,1)}
        76:{3,5,7}:{(50,1),(51,1),(90,1),(103,1),(104,1),(150,1),(172,1),(177,1)}
        77:{1,2,4,6}:{(51,1),(52,1),(53,1),(57,1),(101,1),(104,1),(105,1),(107,1),(143,1),(146,1),(151,1),(174,1),(200,1),(209,1)}
        78:{1,5,6}:{(52,1),(54,1),(92,1)}
        79:{2,5,6}:{(53,1),(54,1),(93,1)}
        80:{4,5,6}:{(54,1),(94,1),(151,1)}
        81:{1,4,7}:{(55,1),(56,1),(103,1),(107,1),(197,1)}
        82:{1,3,6}:{(56,1),(57,1),(104,1),(107,1),(209,1)}
        83:{2,3}:{(58,1)}
        84:{1,2,4,7}:{(58,1),(59,1),(73,1),(108,1),(109,1),(123,1)}
        85:{1,3,4,6}:{(59,1),(74,1),(109,1),(110,1),(126,1),(127,1),(168,1),(185,1),(195,1)}
        86:{2,3,6}:{(60,1),(62,1),(72,1),(111,1),(112,1)}
        87:{1,2,7}:{(60,1),(61,1),(112,1)}
        88:{1,3,6,7}:{(61,1),(64,1),(74,1),(113,1),(114,1),(117,1),(122,1)}
        89:{3,4,6}:{(62,1),(67,1),(75,1),(111,1),(115,1),(116,1),(161,1)}
        90:{3,7}:{(62,1),(63,1)}
        91:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(69,1),(77,1),(113,1),(117,1),(118,1),(121,1),(157,1),(159,1),(163,1)}
        92:{1,5,7}:{(64,1),(66,1),(78,1)}
        93:{2,5,7}:{(65,1),(66,1),(79,1)}
        94:{4,5,7}:{(66,1),(71,1),(80,1),(163,1)}
        95:{1,4,5}:{(67,1),(115,1),(130,1),(170,1)}
        96:{1,4,7}:{(67,1),(68,1),(116,1),(163,1)}
        97:{1,3,6,7}:{(68,1),(69,1),(82,1),(117,1),(121,1),(161,1),(191,1)}
        98:{1,4,6,7}:{(70,1),(71,1),(119,1),(122,1)}
        99:{2,4}:{(72,1),(75,1)}
       100:{2,3,5,7}:{(72,1),(73,1),(76,1),(108,1),(112,1),(123,1),(124,1),(153,1),(156,1),(166,1)}
       101:{1,2,6}:{(73,1),(74,1),(124,1)}
       102:{1,3,5,6}:{(74,1),(78,1),(110,1),(114,1),(125,1),(126,1),(128,1),(129,1),(168,1)}
       103:{3,4,7}:{(75,1),(76,1),(81,1),(123,1),(127,1),(163,1),(185,1)}
       104:{3,6}:{(76,1),(77,1)}
       105:{1,2,5,6}:{(77,1),(78,1),(79,1),(118,1),(128,1),(130,1),(165,1),(166,1),(188,1)}
       106:{1,4,5,6}:{(78,1),(80,1),(119,1),(126,1),(129,1)}
       107:{1,4,6}:{(81,1),(82,1),(127,1),(130,1)}
       108:{2,3,7}:{(83,1),(84,1),(131,1),(177,1)}
       109:{1,2,4,6}:{(84,1),(85,1),(101,1),(131,1),(132,1),(146,1),(171,1)}
       110:{1,3,5}:{(85,1),(132,1),(133,1),(150,1),(172,1),(204,1)}
       111:{2,4,6}:{(86,1),(89,1),(99,1),(134,1),(135,1),(174,1)}
       112:{2,3,7}:{(86,1),(87,1),(90,1),(135,1)}
       113:{1,2,6,7}:{(87,1),(88,1),(101,1),(136,1),(137,1),(145,1),(209,1)}
       114:{1,3,5,7}:{(88,1),(92,1),(102,1),(137,1),(138,1),(141,1),(142,1),(177,1)}
       115:{3,5}:{(89,1),(95,1),(134,1)}
       116:{3,4,7}:{(89,1),(90,1),(96,1),(135,1),(139,1)}
       117:{3,6,7}:{(90,1),(91,1),(104,1),(141,1),(177,1)}
       118:{1,2,5,7}:{(91,1),(92,1),(93,1),(105,1),(141,1),(144,1),(175,1)}
       119:{1,4,5,7}:{(92,1),(94,1),(98,1),(106,1),(138,1),(142,1)}
       120:{1,4,5,7}:{(95,1),(96,1),(139,1),(143,1),(144,1),(180,1)}
       121:{1,4,6,7}:{(96,1),(97,1),(107,1),(140,1),(143,1),(144,1),(202,1),(209,1)}
       122:{3,6,7}:{(98,1),(142,1),(145,1)}
       123:{2,4,7}:{(99,1),(100,1),(103,1),(146,1),(171,1)}
       124:{2,3,6}:{(100,1),(101,1),(104,1),(146,1),(174,1)}
       125:{1,2,5,6}:{(101,1),(102,1),(132,1),(137,1),(147,1),(148,1),(152,1),(204,1),(209,1)}
       126:{1,4,6}:{(102,1),(133,1),(138,1),(149,1),(151,1)}
       127:{3,4,6}:{(103,1),(104,1),(107,1),(146,1),(150,1),(151,1)}
       128:{3,5,6}:{(104,1),(105,1),(141,1),(150,1),(151,1)}
       129:{3,5,6}:{(106,1),(142,1),(149,1),(152,1)}
       130:{1,5}:{(107,1),(150,1)}
       131:{2,3,6}:{(108,1),(109,1),(153,1),(168,1)}
       132:{1,2,5}:{(109,1),(110,1),(153,1),(166,1)}
       133:{1,4,5}:{(110,1),(126,1),(155,1),(170,1)}
       134:{2,5}:{(111,1),(115,1)}
       135:{2,4,7}:{(111,1),(112,1),(116,1),(156,1)}
       136:{2,3,6,7}:{(112,1),(113,1),(117,1),(124,1),(157,1),(158,1),(206,1)}
       137:{1,2,5,7}:{(113,1),(114,1),(125,1),(158,1),(159,1),(164,1),(207,1)}
       138:{1,4,7}:{(114,1),(126,1),(160,1),(163,1)}
       139:{3,5,7}:{(115,1),(116,1),(120,1),(156,1),(161,1)}
       140:{3,4,6,7}:{(116,1),(117,1),(121,1),(127,1),(157,1),(161,1),(162,1),(163,1),(190,1),(193,1),(206,1)}
       141:{3,5,7}:{(117,1),(118,1),(128,1),(163,1)}
       142:{3,5,7}:{(119,1),(122,1),(129,1),(160,1),(164,1)}
       143:{1,4,6}:{(120,1),(161,1),(165,1),(193,1)}
       144:{1,5,7}:{(121,1),(130,1),(162,1),(165,1)}
       145:{2,6,7}:{(122,1),(164,1)}
       146:{2,4,6}:{(123,1),(124,1),(127,1),(166,1)}
       147:{2,3,5,6}:{(124,1),(125,1),(128,1),(153,1),(158,1),(166,1),(167,1),(168,1),(188,1),(194,1),(206,1)}
       148:{1,2,4,6}:{(125,1),(126,1),(154,1),(159,1),(167,1),(168,1),(169,1),(195,1),(196,1)}
       149:{3,4,6}:{(126,1),(129,1),(155,1),(160,1),(168,1),(169,1)}
       150:{3,5}:{(127,1),(130,1),(166,1),(170,1)}
       151:{4,6}:{(128,1),(163,1),(170,1)}
       152:{2,5,6}:{(129,1),(164,1),(169,1)}
       153:{2,3,5}:{(131,1),(132,1),(171,1),(172,1)}
       154:{1,2,4,5}:{(132,1),(133,1),(148,1),(171,1),(172,1),(173,1),(181,1),(197,1),(199,1),(204,1)}
       155:{3,4,5}:{(133,1),(149,1),(172,1),(173,1)}
       156:{2,5,7}:{(134,1),(135,1),(139,1),(174,1)}
       157:{2,4,6,7}:{(135,1),(136,1),(140,1),(146,1),(174,1),(175,1),(176,1),(200,1)}
       158:{2,3,5,7}:{(136,1),(137,1),(141,1),(147,1),(175,1),(176,1),(177,1),(201,1)}
       159:{1,2,4,7}:{(137,1),(138,1),(148,1),(176,1),(177,1),(178,1),(202,1),(203,1)}
       160:{3,4,7}:{(138,1),(142,1),(149,1),(177,1),(178,1)}
       161:{3,6}:{(139,1),(143,1),(174,1)}
       162:{3,5,7}:{(140,1),(144,1),(150,1),(175,1),(179,1),(180,1)}
       163:{4,7}:{(141,1),(151,1)}
       164:{2,5,7}:{(142,1),(145,1),(152,1),(178,1)}
       165:{1,5,6}:{(143,1),(144,1),(179,1),(209,1)}
       166:{2,5}:{(146,1),(150,1)}
       167:{2,4,6}:{(147,1),(151,1),(171,1),(176,1),(181,1),(182,1)}
       168:{3,6}:{(148,1),(172,1),(177,1)}
       169:{2,4,6}:{(149,1),(152,1),(173,1),(178,1),(184,1)}
       170:{4,5}:{(150,1),(151,1)}
       171:{2,4}:{(153,1),(185,1)}
       172:{3,5}:{(154,1),(168,1),(185,1)}
       173:{2,4,5}:{(155,1),(169,1),(187,1)}
       174:{2,6}:{(156,1),(161,1)}
       175:{2,5,7}:{(157,1),(162,1),(166,1),(188,1)}
       176:{2,4,7}:{(158,1),(163,1),(167,1),(190,1)}
       177:{3,7}:{(159,1),(168,1)}
       178:{2,4,7}:{(160,1),(164,1),(169,1),(192,1)}
       179:{3,5,6}:{(161,1),(162,1),(165,1),(188,1),(193,1),(206,1)}
       180:{4,5,7}:{(162,1),(163,1),(170,1),(193,1)}
       181:{2,4,5}:{(166,1),(167,1),(170,1),(194,1)}
       182:{3,4,6}:{(167,1),(168,1),(185,1),(190,1),(194,1),(195,1),(206,1)}
       183:{1,3,6}:{(168,1),(186,1),(191,1),(195,1),(196,1)}
       184:{2,3,6}:{(168,1),(169,1),(187,1),(192,1),(196,1)}
       185:{3,4}:{(171,1),(172,1),(197,1)}
       186:{1,3,5}:{(172,1),(183,1),(197,1),(199,1),(204,1),(208,1)}
       187:{2,3,5}:{(172,1),(173,1),(184,1),(198,1),(199,1)}
       188:{2,5,6}:{(174,1),(175,1),(179,1),(200,1)}
       189:{2,4,5,7}:{(175,1),(176,1),(180,1),(181,1),(200,1),(201,1)}
       190:{3,4,7}:{(176,1),(177,1),(182,1),(201,1),(202,1)}
       191:{1,3,7}:{(177,1),(183,1),(202,1),(203,1)}
       192:{2,3,7}:{(177,1),(178,1),(184,1),(203,1)}
       193:{4,6}:{(179,1),(180,1)}
       194:{3,5}:{(181,1),(182,1),(204,1)}
       195:{1,4,6}:{(182,1),(183,1),(197,1),(202,1),(204,1),(209,1)}
       196:{1,2,6}:{(183,1),(184,1),(199,1),(203,1)}
       197:{1,4}:{(185,1),(186,1)}
       198:{2,3,4}:{(185,1),(187,1),(205,1)}
       199:{1,2,5}:{(186,1),(187,1),(196,1),(205,1)}
       200:{2,4,6}:{(188,1),(189,1),(193,1),(206,1)}
       201:{3,5,7}:{(189,1),(190,1),(194,1),(206,1),(207,1)}
       202:{1,4,7}:{(190,1),(191,1),(195,1),(207,1)}
       203:{1,2,7}:{(191,1),(192,1),(196,1)}
       204:{1,5}:{(194,1),(195,1)}
       205:{1,2,4}:{(197,1),(198,1),(199,1),(208,1)}
       206:{3,6}:{(200,1),(201,1),(209,1)}
       207:{1,5,7}:{(201,1),(202,1),(204,1),(209,1)}
       208:{1,3}:{(205,1)}
       209:{1,6}:{(206,1),(207,1)}

 439 :   0:{2,3,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(32,1),(36,1),(99,1)}
         1:{1,2,5,6,7}:{(0,1),(3,1),(4,1),(22,1),(44,1),(51,1),(54,1),(80,1)}
         2:{2,4,6,7}:{(0,1),(5,1),(6,1),(50,1),(53,1),(117,1)}
         3:{1,3,5,6,7}:{(1,1),(7,1),(9,1),(26,1),(31,1),(59,1),(74,1)}
         4:{1,2,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(12,1),(28,1),(33,1),(71,1),(73,1),(98,1)}
         5:{2,4,5,7}:{(2,1),(10,1),(11,1),(129,1)}
         6:{3,4,6,7}:{(2,1),(9,1),(11,1),(12,1),(30,1),(34,1),(128,1)}
         7:{1,4,6,7}:{(3,1),(14,1),(15,1),(49,1),(78,1),(94,1)}
         8:{1,2,4,5,7}:{(4,1),(5,1),(14,1),(16,1),(17,1),(22,1),(44,1),(49,1),(50,1),(51,1)}
         9:{3,6,7}:{(4,1),(17,1),(91,1),(93,1),(116,1)}
        10:{2,4,5,6}:{(5,1),(20,1),(53,1)}
        11:{3,5,7}:{(5,1),(6,1),(20,1),(22,1),(136,1)}
        12:{1,4,6,7}:{(6,1),(18,1),(22,1),(49,1),(52,1),(135,1)}
        13:{2,3,4,6,7}:{(6,1),(19,1),(23,1),(24,1),(50,1),(53,1),(87,1),(91,1),(93,1),(96,1),(125,1)}
        14:{1,4,5,7}:{(7,1),(25,1),(26,1),(113,1)}
        15:{3,4,6,7}:{(7,1),(9,1),(26,1),(28,1),(30,1),(58,1),(112,1)}
        16:{1,2,4,5,6}:{(8,1),(10,1),(25,1),(29,1),(35,1),(60,1),(66,1),(67,1),(68,1),(73,1),(98,1),(105,1),(113,1),(129,1),(134,1),(139,1)}
        17:{3,5,7}:{(8,1),(9,1),(29,1),(30,1)}
        18:{1,3,6,7}:{(9,1),(12,1),(31,1),(33,1),(72,1),(127,1)}
        19:{2,3,6,7}:{(9,1),(28,1),(32,1),(33,1),(97,1),(111,1)}
        20:{3,5,6}:{(10,1),(11,1),(34,1),(35,1)}
        21:{3,4,5,7}:{(11,1),(30,1),(34,1),(37,1),(38,1),(65,1),(76,1)}
        22:{1,5,7}:{(11,1),(12,1),(35,1),(139,1)}
        23:{2,3,5,7}:{(11,1),(13,1),(36,1),(38,1),(39,1),(76,1),(104,1),(134,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(33,1),(39,1),(40,1),(71,1),(73,1),(77,1),(107,1)}
        25:{1,4,5,6}:{(14,1),(41,1),(78,1)}
        26:{3,5,7}:{(14,1),(15,1),(41,1),(44,1),(126,1)}
        27:{1,3,4,6,7}:{(15,1),(18,1),(43,1),(45,1),(49,1),(78,1),(86,1),(91,1),(116,1),(119,1),(135,1)}
        28:{2,4,6,7}:{(15,1),(19,1),(44,1),(50,1),(79,1),(125,1)}
        29:{3,5,6}:{(16,1),(17,1),(46,1),(93,1),(116,1),(122,1),(126,1),(136,1)}
        30:{3,4,7}:{(17,1),(46,1),(49,1),(50,1),(91,1)}
        31:{1,3,5,7}:{(17,1),(18,1),(22,1),(47,1),(49,1),(51,1),(91,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(44,1),(48,1),(50,1),(51,1),(91,1)}
        33:{1,2,6,7}:{(18,1),(19,1),(51,1),(92,1),(115,1)}
        34:{3,4,6}:{(20,1),(21,1),(52,1),(53,1),(93,1)}
        35:{1,5,6}:{(20,1),(22,1),(52,1)}
        36:{2,3,5,6}:{(20,1),(23,1),(53,1),(54,1),(93,1)}
        37:{1,4,5,7}:{(21,1),(22,1),(49,1),(52,1),(55,1),(84,1)}
        38:{2,4,5,7}:{(21,1),(23,1),(50,1),(53,1),(85,1)}
        39:{1,2,5,7}:{(22,1),(23,1),(24,1),(54,1),(57,1),(121,1)}
        40:{1,3,6,7}:{(24,1),(57,1),(91,1),(93,1),(124,1)}
        41:{3,5,6}:{(25,1),(26,1),(58,1),(60,1)}
        42:{3,4,5,7}:{(26,1),(30,1),(58,1),(61,1),(62,1),(65,1),(101,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(59,1),(61,1),(63,1),(101,1),(103,1),(139,1)}
        44:{2,5,7}:{(26,1),(28,1),(60,1),(134,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(33,1),(63,1),(64,1),(71,1),(98,1),(102,1),(106,1)}
        46:{3,4,6}:{(29,1),(30,1),(65,1),(66,1),(67,1),(108,1),(133,1)}
        47:{1,3,5,6}:{(29,1),(31,1),(35,1),(66,1),(68,1),(72,1),(103,1),(108,1),(127,1),(132,1),(139,1)}
        48:{2,3,5,6}:{(29,1),(32,1),(60,1),(67,1),(68,1),(97,1),(104,1),(108,1),(111,1),(131,1),(134,1)}
        49:{1,4,7}:{(30,1),(31,1),(66,1)}
        50:{2,4,7}:{(30,1),(32,1),(67,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(68,1),(71,1)}
        52:{1,4,6}:{(34,1),(35,1),(37,1),(72,1)}
        53:{2,4,6}:{(34,1),(36,1),(38,1)}
        54:{1,2,5,6}:{(35,1),(36,1),(39,1),(73,1),(74,1),(134,1)}
        55:{1,3,5,7}:{(37,1),(69,1),(72,1),(75,1),(76,1),(103,1)}
        56:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(71,1),(73,1),(75,1),(76,1),(77,1),(105,1),(113,1),(114,1),(134,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(74,1),(76,1),(77,1),(132,1)}
        58:{3,4,6}:{(41,1),(42,1),(78,1),(79,1),(116,1)}
        59:{1,3,5,6}:{(41,1),(43,1),(78,1),(80,1),(116,1)}
        60:{2,5,6}:{(41,1),(44,1),(79,1)}
        61:{1,4,5,7}:{(42,1),(43,1),(49,1),(78,1),(84,1)}
        62:{2,4,5,7}:{(42,1),(44,1),(50,1),(79,1),(81,1),(85,1)}
        63:{1,2,5,7}:{(43,1),(44,1),(45,1),(80,1),(83,1),(120,1)}
        64:{2,3,6,7}:{(45,1),(83,1),(91,1),(116,1),(123,1)}
        65:{3,4,5}:{(46,1),(84,1),(85,1),(122,1),(126,1),(136,1)}
        66:{1,4,6}:{(46,1),(47,1),(49,1),(84,1),(138,1)}
        67:{2,4,6}:{(46,1),(48,1),(50,1),(85,1),(137,1)}
        68:{1,2,5,6}:{(47,1),(48,1),(51,1),(88,1),(92,1),(115,1),(120,1),(121,1)}
        69:{1,3,4,7}:{(49,1),(55,1),(86,1),(89,1),(91,1),(96,1)}
        70:{2,3,4,7}:{(50,1),(81,1),(87,1),(90,1),(91,1),(119,1)}
        71:{1,2,4,7}:{(49,1),(50,1),(51,1),(88,1),(91,1)}
        72:{1,3,6}:{(52,1),(55,1),(92,1),(93,1)}
        73:{1,2,4,6}:{(52,1),(53,1),(54,1),(56,1),(92,1),(93,1),(94,1),(125,1)}
        74:{1,3,5,6}:{(54,1),(57,1),(93,1),(94,1),(126,1)}
        75:{1,2,5,7}:{(55,1),(89,1),(92,1),(95,1),(120,1)}
        76:{3,5,7}:{(56,1),(91,1),(93,1),(96,1),(122,1),(126,1)}
        77:{1,4,7}:{(57,1),(94,1),(96,1),(138,1)}
        78:{1,4,6}:{(58,1),(59,1),(61,1)}
        79:{2,4,6}:{(58,1),(60,1),(62,1),(97,1)}
        80:{1,2,5,6}:{(59,1),(60,1),(63,1),(98,1),(99,1),(139,1)}
        81:{2,3,5,7}:{(62,1),(70,1),(97,1),(100,1),(101,1),(104,1)}
        82:{1,2,4,5,7}:{(61,1),(62,1),(63,1),(71,1),(98,1),(100,1),(101,1),(102,1),(105,1),(129,1),(130,1),(139,1)}
        83:{2,3,5,7}:{(63,1),(64,1),(99,1),(101,1),(102,1),(131,1)}
        84:{1,4,5}:{(65,1),(66,1),(103,1),(139,1)}
        85:{2,4,5}:{(65,1),(67,1),(104,1),(134,1)}
        86:{1,3,4,6}:{(66,1),(69,1),(72,1),(103,1),(106,1),(108,1),(112,1),(133,1)}
        87:{2,3,4,6}:{(67,1),(70,1),(97,1),(104,1),(107,1),(108,1),(128,1),(133,1)}
        88:{1,2,4,6}:{(66,1),(67,1),(68,1),(71,1),(105,1),(108,1)}
        89:{1,2,4,7}:{(69,1),(75,1),(106,1),(109,1),(114,1)}
        90:{1,2,4,7}:{(70,1),(100,1),(107,1),(110,1),(130,1)}
        91:{3,7}:{(71,1),(108,1)}
        92:{1,2,6}:{(72,1),(75,1),(111,1)}
        93:{3,6}:{(73,1),(76,1)}
        94:{1,4,6}:{(74,1),(77,1),(112,1),(113,1)}
        95:{2,3,5,7}:{(75,1),(76,1),(109,1),(111,1),(114,1),(131,1),(134,1)}
        96:{3,4,7}:{(76,1),(77,1),(112,1),(114,1),(133,1)}
        97:{2,3,6}:{(79,1),(81,1),(115,1),(116,1)}
        98:{1,2,4,6}:{(78,1),(79,1),(80,1),(82,1),(115,1),(116,1),(117,1),(135,1)}
        99:{2,3,5,6}:{(80,1),(83,1),(116,1),(117,1),(136,1)}
       100:{1,2,5,7}:{(81,1),(90,1),(115,1),(118,1),(121,1)}
       101:{3,5,7}:{(82,1),(91,1),(116,1),(119,1),(122,1),(136,1)}
       102:{2,4,7}:{(83,1),(117,1),(119,1),(137,1)}
       103:{1,3,5}:{(84,1),(86,1),(120,1),(122,1),(126,1)}
       104:{2,3,5}:{(85,1),(87,1),(121,1),(122,1),(136,1)}
       105:{1,2,4,5}:{(84,1),(85,1),(88,1),(120,1),(121,1),(122,1),(137,1),(138,1)}
       106:{1,2,4,6}:{(86,1),(89,1),(92,1),(120,1),(123,1),(125,1),(137,1)}
       107:{1,2,4,6}:{(87,1),(90,1),(115,1),(121,1),(124,1),(135,1),(138,1)}
       108:{3,6}:{(88,1),(91,1),(122,1)}
       109:{2,3,7}:{(89,1),(91,1),(123,1)}
       110:{1,3,7}:{(90,1),(91,1),(124,1)}
       111:{2,3,6}:{(92,1),(93,1),(95,1),(125,1)}
       112:{3,4,6}:{(93,1),(94,1),(96,1),(125,1),(126,1)}
       113:{1,4,5}:{(94,1),(126,1)}
       114:{2,4,7}:{(95,1),(96,1),(125,1),(137,1)}
       115:{1,2,6}:{(97,1),(100,1),(127,1)}
       116:{3,6}:{(98,1),(101,1)}
       117:{2,4,6}:{(99,1),(102,1),(128,1),(129,1)}
       118:{1,3,5,7}:{(100,1),(101,1),(110,1),(127,1),(130,1),(132,1),(139,1)}
       119:{3,4,7}:{(101,1),(102,1),(128,1),(130,1),(133,1)}
       120:{1,2,5}:{(103,1),(106,1),(131,1),(134,1)}
       121:{1,2,5}:{(104,1),(107,1),(132,1),(139,1)}
       122:{3,5}:{(105,1),(108,1),(133,1)}
       123:{2,3,6}:{(106,1),(108,1),(109,1),(131,1)}
       124:{1,3,6}:{(107,1),(108,1),(110,1),(132,1)}
       125:{2,4,6}:{(111,1),(112,1),(114,1),(134,1)}
       126:{3,5}:{(112,1),(113,1),(134,1)}
       127:{1,3,6}:{(115,1),(116,1),(118,1),(135,1)}
       128:{3,4,6}:{(116,1),(117,1),(119,1),(135,1),(136,1)}
       129:{2,4,5}:{(117,1),(136,1)}
       130:{1,4,7}:{(118,1),(119,1),(135,1),(138,1)}
       131:{2,3,5}:{(120,1),(122,1),(123,1),(137,1)}
       132:{1,3,5}:{(121,1),(122,1),(124,1),(138,1)}
       133:{3,4}:{(122,1),(137,1),(138,1)}
       134:{2,5}:{(125,1),(126,1)}
       135:{1,4,6}:{(127,1),(128,1),(130,1),(139,1)}
       136:{3,5}:{(128,1),(129,1),(139,1)}
       137:{2,4}:{(131,1),(133,1)}
       138:{1,4}:{(132,1),(133,1)}
       139:{1,5}:{(135,1),(136,1)}

 440 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(57,1),(64,1),(125,1),(178,1),(197,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(7,1),(31,1),(32,1),(45,1),(95,1),(136,1),(140,1),(148,1),(151,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(12,1),(32,1),(184,1),(189,1),(195,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(39,1),(205,1)}
         4:{2,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(42,1),(88,1),(98,1),(100,1),(158,1)}
         5:{1,4,5,7}:{(1,1),(13,1),(16,1),(54,1),(71,1),(105,1),(108,1),(126,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(17,1),(25,1),(55,1),(64,1),(163,1),(167,1)}
         7:{3,4,6}:{(1,1),(16,1),(17,1),(18,1),(58,1),(120,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(20,1),(21,1),(24,1),(198,1),(202,1)}
         9:{2,3,6}:{(2,1),(17,1),(21,1),(58,1),(204,1)}
        10:{1,3,7}:{(3,1),(23,1),(125,1),(208,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(21,1),(23,1),(24,1),(65,1),(69,1)}
        12:{2,3,5}:{(4,1),(24,1),(25,1),(70,1),(119,1),(180,1)}
        13:{1,3,5,7}:{(5,1),(26,1),(27,1),(28,1),(32,1),(74,1),(101,1),(155,1),(207,1)}
        14:{3,4,6,7}:{(7,1),(29,1),(30,1),(31,1),(83,1),(84,1),(95,1),(140,1),(145,1),(146,1),(148,1)}
        15:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(27,1),(32,1),(33,1),(39,1),(44,1),(77,1),(85,1),(94,1),(96,1),(135,1),(139,1),(141,1),(148,1),(151,1),(153,1),(186,1),(195,1),(207,1)}
        16:{1,4,6}:{(5,1),(7,1),(28,1),(34,1)}
        17:{2,4,6}:{(6,1),(7,1),(9,1),(35,1)}
        18:{3,5,6}:{(7,1),(31,1),(34,1),(35,1),(36,1)}
        19:{2,3,6,7}:{(9,1),(30,1),(37,1),(38,1),(84,1),(146,1),(189,1)}
        20:{1,3,5,7}:{(8,1),(10,1),(32,1),(39,1),(40,1),(43,1),(96,1),(183,1),(188,1),(207,1)}
        21:{1,2,6}:{(8,1),(9,1),(40,1)}
        22:{2,3,5,6}:{(9,1),(12,1),(35,1),(38,1),(41,1),(42,1),(89,1),(91,1),(98,1)}
        23:{1,3,6}:{(10,1),(11,1),(43,1),(98,1)}
        24:{1,2,5}:{(11,1),(12,1),(43,1),(96,1)}
        25:{2,4,5}:{(12,1),(42,1),(45,1),(151,1)}
        26:{1,3,4,7}:{(13,1),(46,1),(47,1),(57,1),(108,1),(131,1),(166,1),(201,1)}
        27:{1,2,5,7}:{(13,1),(46,1),(49,1),(50,1),(104,1),(133,1),(179,1)}
        28:{1,3,6}:{(13,1),(16,1),(50,1),(58,1),(209,1)}
        29:{1,4,6,7}:{(14,1),(16,1),(48,1),(54,1),(108,1),(126,1),(173,1)}
        30:{2,4,6,7}:{(14,1),(17,1),(19,1),(55,1),(64,1),(167,1),(172,1)}
        31:{3,5,7}:{(14,1),(18,1),(54,1),(55,1),(56,1)}
        32:{3,5,7}:{(15,1),(57,1),(58,1),(70,1),(119,1),(125,1),(162,1),(166,1)}
        33:{1,2,4,6}:{(15,1),(16,1),(17,1),(21,1),(50,1),(58,1),(59,1),(65,1),(109,1),(120,1),(176,1),(199,1),(204,1),(209,1)}
        34:{1,5,6}:{(16,1),(18,1),(54,1)}
        35:{2,5,6}:{(17,1),(18,1),(55,1)}
        36:{4,5,6}:{(18,1),(56,1),(120,1)}
        37:{1,2,6,7}:{(19,1),(21,1),(62,1),(63,1),(173,1),(202,1),(204,1)}
        38:{2,3,5,7}:{(19,1),(22,1),(55,1),(63,1),(64,1),(116,1),(118,1),(125,1)}
        39:{1,4,7}:{(20,1),(57,1),(65,1),(69,1),(196,1)}
        40:{1,3,6}:{(20,1),(21,1),(58,1),(65,1),(209,1)}
        41:{1,2,5,6}:{(21,1),(22,1),(24,1),(63,1),(66,1),(67,1),(122,1),(180,1),(204,1)}
        42:{2,4,6}:{(22,1),(25,1),(64,1),(68,1),(120,1)}
        43:{1,3,5}:{(23,1),(24,1),(69,1),(70,1)}
        44:{1,2,4,5}:{(24,1),(25,1),(67,1),(69,1),(70,1),(71,1),(127,1),(132,1),(133,1),(180,1)}
        45:{3,4,5}:{(25,1),(68,1),(70,1),(71,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(72,1),(73,1),(77,1),(160,1)}
        47:{1,3,4,6}:{(26,1),(28,1),(73,1),(74,1),(80,1),(88,1),(143,1),(182,1),(191,1)}
        48:{1,3,6,7}:{(28,1),(29,1),(75,1),(76,1),(84,1),(145,1),(155,1)}
        49:{2,3,5,7}:{(27,1),(32,1),(72,1),(77,1),(78,1),(102,1),(134,1),(141,1),(156,1),(195,1)}
        50:{1,2,6}:{(27,1),(28,1),(78,1)}
        51:{1,3,5,6}:{(28,1),(34,1),(74,1),(76,1),(79,1),(80,1),(89,1),(90,1),(143,1)}
        52:{3,5,6,7}:{(31,1),(81,1),(82,1),(83,1),(145,1),(146,1)}
        53:{1,2,4,6,7}:{(29,1),(30,1),(33,1),(37,1),(75,1),(84,1),(85,1),(92,1),(94,1),(137,1),(139,1),(148,1)}
        54:{1,5,7}:{(29,1),(31,1),(34,1)}
        55:{2,5,7}:{(30,1),(31,1),(35,1)}
        56:{4,5,7}:{(31,1),(36,1),(83,1),(148,1)}
        57:{3,4,7}:{(32,1),(39,1),(77,1),(88,1),(100,1),(148,1),(182,1)}
        58:{3,6}:{(32,1),(33,1)}
        59:{1,2,5,6}:{(33,1),(34,1),(35,1),(85,1),(89,1),(96,1),(141,1),(152,1),(185,1)}
        60:{1,4,5,6}:{(34,1),(36,1),(80,1),(86,1),(90,1)}
        61:{2,4,5,6}:{(35,1),(36,1),(42,1),(87,1),(91,1)}
        62:{1,3,6,7}:{(37,1),(40,1),(84,1),(92,1),(93,1),(188,1),(194,1)}
        63:{1,2,5,7}:{(37,1),(38,1),(41,1),(93,1),(94,1),(150,1),(195,1)}
        64:{2,4,7}:{(38,1),(42,1),(95,1),(148,1)}
        65:{1,4,6}:{(39,1),(40,1),(88,1),(96,1)}
        66:{1,3,5,6}:{(40,1),(41,1),(43,1),(89,1),(93,1),(96,1),(97,1),(98,1),(152,1),(157,1),(194,1)}
        67:{1,2,4,6}:{(41,1),(42,1),(44,1),(94,1),(97,1),(98,1),(99,1),(158,1),(159,1)}
        68:{3,4,6}:{(42,1),(45,1),(91,1),(95,1),(98,1),(99,1)}
        69:{1,4}:{(43,1),(100,1)}
        70:{3,5}:{(44,1),(98,1),(100,1)}
        71:{1,4,5}:{(45,1),(99,1),(101,1)}
        72:{2,3,7}:{(46,1),(103,1),(166,1),(181,1)}
        73:{1,2,4,6}:{(46,1),(47,1),(50,1),(103,1),(104,1),(109,1),(161,1)}
        74:{1,3,5}:{(47,1),(104,1),(105,1),(119,1),(162,1),(203,1)}
        75:{1,2,6,7}:{(48,1),(50,1),(106,1),(107,1),(172,1),(179,1),(209,1)}
        76:{1,3,5,7}:{(48,1),(51,1),(54,1),(107,1),(108,1),(116,1),(117,1),(166,1)}
        77:{2,4,7}:{(49,1),(57,1),(109,1),(132,1),(161,1)}
        78:{2,3,6}:{(49,1),(50,1),(58,1),(109,1),(204,1)}
        79:{1,2,5,6}:{(50,1),(51,1),(104,1),(107,1),(110,1),(111,1),(121,1),(203,1),(209,1)}
        80:{1,4,6}:{(51,1),(105,1),(108,1),(112,1),(120,1)}
        81:{1,5,6,7}:{(52,1),(54,1),(113,1),(173,1)}
        82:{2,5,6,7}:{(52,1),(55,1),(114,1),(172,1)}
        83:{4,6,7}:{(52,1),(56,1)}
        84:{3,6,7}:{(53,1),(58,1),(116,1),(125,1),(166,1)}
        85:{1,2,5,7}:{(53,1),(54,1),(55,1),(59,1),(116,1),(123,1),(164,1)}
        86:{1,4,5,7}:{(54,1),(56,1),(60,1),(108,1),(113,1),(117,1)}
        87:{2,4,5,7}:{(55,1),(56,1),(61,1),(64,1),(114,1),(118,1)}
        88:{3,4,6}:{(57,1),(58,1),(65,1),(109,1),(119,1),(120,1)}
        89:{3,5,6}:{(58,1),(59,1),(116,1),(119,1),(120,1)}
        90:{3,5,6}:{(60,1),(112,1),(117,1),(121,1)}
        91:{3,5,6}:{(61,1),(68,1),(118,1),(122,1)}
        92:{1,4,6,7}:{(62,1),(65,1),(115,1),(123,1),(124,1),(176,1),(201,1),(209,1)}
        93:{1,3,5,7}:{(62,1),(63,1),(66,1),(116,1),(123,1),(124,1),(125,1),(177,1)}
        94:{1,2,4,7}:{(63,1),(64,1),(67,1),(124,1),(125,1),(126,1),(178,1),(179,1)}
        95:{3,4,7}:{(64,1),(68,1),(118,1),(125,1),(126,1)}
        96:{1,5}:{(65,1),(119,1)}
        97:{1,4,6}:{(66,1),(69,1),(120,1),(124,1),(127,1),(128,1)}
        98:{3,6}:{(67,1),(70,1),(125,1)}
        99:{1,4,6}:{(68,1),(71,1),(122,1),(126,1),(129,1)}
       100:{3,4}:{(69,1),(70,1),(132,1)}
       101:{1,3,5}:{(70,1),(71,1),(129,1),(131,1),(133,1)}
       102:{2,3,5}:{(70,1),(130,1),(132,1),(133,1),(180,1),(181,1)}
       103:{2,3,6}:{(72,1),(73,1),(134,1),(143,1)}
       104:{1,2,5}:{(73,1),(74,1),(134,1),(141,1)}
       105:{1,4,5}:{(74,1),(80,1),(136,1),(151,1)}
       106:{2,3,6,7}:{(75,1),(78,1),(84,1),(137,1),(138,1),(156,1),(206,1)}
       107:{1,2,5,7}:{(75,1),(76,1),(79,1),(138,1),(139,1),(149,1),(207,1)}
       108:{1,4,7}:{(76,1),(80,1),(140,1),(148,1)}
       109:{2,4,6}:{(77,1),(78,1),(88,1),(141,1)}
       110:{2,3,5,6}:{(78,1),(79,1),(89,1),(134,1),(138,1),(141,1),(142,1),(143,1),(185,1),(190,1),(206,1)}
       111:{1,2,4,6}:{(79,1),(80,1),(135,1),(139,1),(142,1),(143,1),(144,1),(191,1),(192,1)}
       112:{3,4,6}:{(80,1),(90,1),(136,1),(140,1),(143,1),(144,1)}
       113:{1,4,6,7}:{(81,1),(83,1),(86,1),(145,1)}
       114:{2,4,6,7}:{(82,1),(83,1),(87,1),(146,1)}
       115:{3,4,6,7}:{(84,1),(88,1),(92,1),(137,1),(147,1),(148,1),(154,1),(187,1),(193,1),(194,1),(206,1)}
       116:{3,5,7}:{(84,1),(85,1),(89,1),(148,1)}
       117:{3,5,7}:{(86,1),(90,1),(140,1),(145,1),(149,1)}
       118:{3,5,7}:{(87,1),(91,1),(95,1),(146,1),(150,1)}
       119:{3,5}:{(88,1),(96,1),(141,1),(151,1)}
       120:{4,6}:{(89,1),(148,1),(151,1)}
       121:{2,5,6}:{(90,1),(144,1),(149,1)}
       122:{1,5,6}:{(91,1),(99,1),(150,1)}
       123:{1,5,7}:{(92,1),(96,1),(147,1),(152,1)}
       124:{1,4,7}:{(93,1),(97,1),(148,1),(154,1)}
       125:{3,7}:{(94,1),(98,1)}
       126:{1,4,7}:{(95,1),(99,1),(150,1),(155,1)}
       127:{1,4,5}:{(96,1),(97,1),(151,1),(157,1)}
       128:{3,4,6}:{(97,1),(98,1),(100,1),(154,1),(157,1),(158,1),(194,1)}
       129:{1,3,6}:{(98,1),(99,1),(101,1),(155,1),(159,1)}
       130:{2,3,6}:{(98,1),(102,1),(156,1),(158,1),(159,1)}
       131:{1,3,4}:{(100,1),(101,1),(160,1)}
       132:{2,4}:{(100,1),(102,1)}
       133:{1,2,5}:{(101,1),(102,1),(159,1),(160,1)}
       134:{2,3,5}:{(103,1),(104,1),(161,1),(162,1)}
       135:{1,2,4,5}:{(104,1),(105,1),(111,1),(161,1),(162,1),(163,1),(168,1),(196,1),(198,1),(203,1)}
       136:{3,4,5}:{(105,1),(112,1),(162,1),(163,1)}
       137:{2,4,6,7}:{(106,1),(109,1),(115,1),(164,1),(165,1),(178,1),(199,1),(204,1)}
       138:{2,3,5,7}:{(106,1),(107,1),(110,1),(116,1),(164,1),(165,1),(166,1),(200,1)}
       139:{1,2,4,7}:{(107,1),(108,1),(111,1),(165,1),(166,1),(167,1),(201,1),(202,1)}
       140:{3,4,7}:{(108,1),(112,1),(117,1),(166,1),(167,1)}
       141:{2,5}:{(109,1),(119,1)}
       142:{2,4,6}:{(110,1),(120,1),(161,1),(165,1),(168,1),(169,1)}
       143:{3,6}:{(111,1),(162,1),(166,1)}
       144:{2,4,6}:{(112,1),(121,1),(163,1),(167,1),(171,1)}
       145:{3,6,7}:{(113,1),(117,1),(172,1)}
       146:{3,6,7}:{(114,1),(118,1),(173,1)}
       147:{3,5,7}:{(115,1),(119,1),(123,1),(164,1),(174,1),(175,1)}
       148:{4,7}:{(116,1),(120,1)}
       149:{2,5,7}:{(117,1),(121,1),(167,1),(172,1)}
       150:{1,5,7}:{(118,1),(122,1),(126,1),(173,1)}
       151:{4,5}:{(119,1),(120,1)}
       152:{1,5,6}:{(123,1),(174,1),(176,1),(209,1)}
       153:{1,4,5,7}:{(123,1),(124,1),(127,1),(175,1),(176,1),(177,1)}
       154:{3,4,7}:{(124,1),(125,1),(128,1),(177,1),(178,1)}
       155:{1,3,7}:{(125,1),(126,1),(129,1),(179,1)}
       156:{2,3,7}:{(125,1),(130,1),(178,1),(179,1)}
       157:{3,5}:{(127,1),(128,1),(180,1)}
       158:{2,4,6}:{(128,1),(130,1),(132,1),(178,1),(180,1),(204,1)}
       159:{1,2,6}:{(129,1),(130,1),(133,1),(179,1)}
       160:{1,2,4}:{(131,1),(132,1),(133,1),(181,1)}
       161:{2,4}:{(134,1),(182,1)}
       162:{3,5}:{(135,1),(143,1),(182,1)}
       163:{2,4,5}:{(136,1),(144,1),(184,1)}
       164:{2,5,7}:{(137,1),(141,1),(147,1),(185,1)}
       165:{2,4,7}:{(138,1),(142,1),(148,1),(187,1)}
       166:{3,7}:{(139,1),(143,1)}
       167:{2,4,7}:{(140,1),(144,1),(149,1),(189,1)}
       168:{2,4,5}:{(141,1),(142,1),(151,1),(190,1)}
       169:{3,4,6}:{(142,1),(143,1),(182,1),(187,1),(190,1),(191,1),(206,1)}
       170:{1,3,6}:{(143,1),(183,1),(188,1),(191,1),(192,1)}
       171:{2,3,6}:{(143,1),(144,1),(184,1),(189,1),(192,1)}
       172:{2,6,7}:{(145,1),(149,1)}
       173:{1,6,7}:{(146,1),(150,1)}
       174:{3,5,6}:{(147,1),(152,1),(185,1),(193,1),(194,1),(206,1)}
       175:{4,5,7}:{(147,1),(148,1),(151,1),(193,1)}
       176:{1,4,6}:{(152,1),(153,1),(193,1),(194,1)}
       177:{3,5,7}:{(153,1),(154,1),(157,1),(194,1),(195,1)}
       178:{2,4,7}:{(154,1),(156,1),(158,1),(195,1)}
       179:{1,2,7}:{(155,1),(156,1),(159,1)}
       180:{2,5}:{(157,1),(158,1)}
       181:{2,3}:{(160,1)}
       182:{3,4}:{(161,1),(162,1),(196,1)}
       183:{1,3,5}:{(162,1),(170,1),(196,1),(198,1),(203,1),(208,1)}
       184:{2,3,5}:{(162,1),(163,1),(171,1),(197,1),(198,1)}
       185:{2,5,6}:{(164,1),(174,1),(199,1),(204,1)}
       186:{2,4,5,7}:{(164,1),(165,1),(168,1),(175,1),(199,1),(200,1)}
       187:{3,4,7}:{(165,1),(166,1),(169,1),(200,1),(201,1)}
       188:{1,3,7}:{(166,1),(170,1),(201,1),(202,1)}
       189:{2,3,7}:{(166,1),(167,1),(171,1),(202,1)}
       190:{3,5}:{(168,1),(169,1),(203,1)}
       191:{1,4,6}:{(169,1),(170,1),(196,1),(201,1),(203,1),(209,1)}
       192:{1,2,6}:{(170,1),(171,1),(198,1),(202,1)}
       193:{4,6}:{(174,1),(175,1)}
       194:{3,6}:{(176,1),(177,1),(204,1)}
       195:{2,5,7}:{(177,1),(178,1),(180,1),(204,1)}
       196:{1,4}:{(182,1),(183,1)}
       197:{2,3,4}:{(182,1),(184,1),(205,1)}
       198:{1,2,5}:{(183,1),(184,1),(192,1),(205,1)}
       199:{2,4,6}:{(185,1),(186,1),(193,1),(206,1)}
       200:{3,5,7}:{(186,1),(187,1),(190,1),(206,1),(207,1)}
       201:{1,4,7}:{(187,1),(188,1),(191,1),(207,1)}
       202:{1,2,7}:{(188,1),(189,1),(192,1)}
       203:{1,5}:{(190,1),(191,1)}
       204:{2,6}:{(194,1),(195,1)}
       205:{1,2,4}:{(196,1),(197,1),(198,1),(208,1)}
       206:{3,6}:{(199,1),(200,1),(209,1)}
       207:{1,5,7}:{(200,1),(201,1),(203,1),(209,1)}
       208:{1,3}:{(205,1)}
       209:{1,6}:{(206,1),(207,1)}

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

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

 443 :  0:{1,2,5,6}:{(2,1),(3,1),(4,1),(34,1),(35,1),(53,1),(54,1)}
        1:{1,2,4,5}:{(3,1),(5,1),(14,1),(18,1),(19,1),(23,1),(34,1),(35,1)}
        2:{3,5,6}:{(0,1),(6,1),(7,1),(9,1),(24,1),(47,1),(48,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(6,1),(9,1),(10,1),(26,1),(27,1),(31,1)}
        4:{1,2,5,7}:{(0,1),(7,1),(10,1),(11,1),(45,1),(46,1)}
        5:{3,5}:{(1,1),(8,1),(9,1)}
        6:{4,6}:{(2,1),(14,1),(16,1)}
        7:{3,5,7}:{(2,1),(4,1),(16,1),(17,1),(22,1),(41,1)}
        8:{3,4}:{(5,1),(18,1),(19,1),(42,1)}
        9:{3,6}:{(3,1),(5,1),(22,1)}
       10:{1,2,4,7}:{(3,1),(4,1),(16,1),(22,1),(39,1),(40,1),(43,1)}
       11:{1,2,6,7}:{(4,1),(17,1),(53,1),(54,1)}
       12:{1,3,5}:{(5,1),(18,1),(20,1),(23,1),(34,1),(42,1),(51,1)}
       13:{2,3,5}:{(5,1),(19,1),(21,1),(23,1),(35,1),(42,1),(51,1)}
       14:{4,5}:{(6,1),(24,1),(56,1)}
       15:{3,4,6}:{(6,1),(8,1),(9,1),(24,1),(26,1),(27,1),(28,1),(47,1),(49,1),(56,1),(61,1)}
       16:{4,7}:{(6,1),(7,1)}
       17:{3,6,7}:{(7,1),(11,1),(29,1),(47,1)}
       18:{1,4}:{(8,1),(12,1),(56,1)}
       19:{2,4}:{(8,1),(13,1),(56,1)}
       20:{1,3,6}:{(9,1),(12,1),(26,1),(31,1),(32,1),(49,1)}
       21:{2,3,6}:{(9,1),(13,1),(27,1),(31,1),(33,1),(49,1)}
       22:{3,7}:{(9,1),(10,1)}
       23:{1,2,5}:{(12,1),(13,1),(30,1),(31,1)}
       24:{3,5}:{(14,1),(15,1),(34,1),(35,1),(62,1)}
       25:{4,5,7}:{(14,1),(16,1),(36,1),(37,1),(41,1),(59,1),(62,1)}
       26:{1,4,6}:{(15,1),(18,1),(20,1),(34,1),(39,1),(53,1)}
       27:{2,4,6}:{(15,1),(19,1),(21,1),(35,1),(40,1),(54,1)}
       28:{3,4,7}:{(15,1),(16,1),(22,1),(36,1),(39,1),(40,1),(55,1),(59,1)}
       29:{4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
       30:{1,2,4}:{(18,1),(19,1),(23,1),(42,1)}
       31:{1,2,6}:{(20,1),(21,1),(23,1),(43,1)}
       32:{1,3,7}:{(20,1),(22,1),(39,1),(43,1),(55,1)}
       33:{2,3,7}:{(21,1),(22,1),(40,1),(43,1),(55,1)}
       34:{1,5}:{(24,1),(26,1)}
       35:{2,5}:{(24,1),(27,1)}
       36:{3,5,7}:{(24,1),(25,1),(28,1),(45,1),(46,1),(47,1)}
       37:{4,6}:{(25,1),(47,1),(48,1)}
       38:{1,2,4,6}:{(26,1),(27,1),(30,1),(31,1),(44,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       39:{1,4,7}:{(26,1),(28,1),(32,1),(45,1)}
       40:{2,4,7}:{(27,1),(28,1),(33,1),(46,1)}
       41:{5,7}:{(29,1),(48,1)}
       42:{3}:{(30,1)}
       43:{1,2,7}:{(31,1),(32,1),(33,1)}
       44:{1,2,5}:{(34,1),(35,1),(38,1),(51,1),(62,1)}
       45:{1,5,7}:{(34,1),(36,1),(39,1),(53,1)}
       46:{2,5,7}:{(35,1),(36,1),(40,1),(54,1)}
       47:{3,6}:{(36,1),(37,1),(53,1),(54,1)}
       48:{5,6}:{(37,1),(41,1),(62,1)}
       49:{3,6}:{(38,1),(42,1),(51,1),(55,1)}
       50:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(52,1),(55,1),(59,1)}
       51:{3,5}:{(44,1),(49,1),(56,1)}
       52:{1,2,5,7}:{(44,1),(45,1),(46,1),(50,1),(57,1),(58,1)}
       53:{1,6}:{(45,1),(47,1)}
       54:{2,6}:{(46,1),(47,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{4}:{(51,1)}
       57:{3,5,7}:{(51,1),(52,1),(55,1),(59,1),(60,1),(62,1)}
       58:{1,2,6}:{(52,1),(53,1),(54,1),(60,1)}
       59:{4,7}:{(56,1),(57,1),(61,1)}
       60:{3,6}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 444 :   0:{3,4,5,7}:{(1,1),(2,1),(3,1),(21,1),(22,1),(81,1),(114,1),(118,1),(126,1),(134,1),(137,1)}
         1:{1,4,5,7}:{(0,1),(5,1),(9,1),(42,1),(84,1),(87,1),(111,1),(155,1)}
         2:{2,4,5,7}:{(0,1),(6,1),(10,1),(43,1),(52,1),(94,1),(143,1),(147,1)}
         3:{3,4,6}:{(0,1),(9,1),(10,1),(11,1),(46,1),(106,1)}
         4:{2,3,4,7}:{(6,1),(12,1),(13,1),(45,1),(94,1),(154,1),(189,1),(198,1)}
         5:{1,3,5,7}:{(1,1),(14,1),(15,1),(16,1),(22,1),(55,1),(139,1),(181,1),(204,1)}
         6:{2,3,5,7}:{(2,1),(4,1),(17,1),(18,1),(22,1),(29,1),(169,1),(174,1),(206,1)}
         7:{3,4,6,7}:{(3,1),(19,1),(20,1),(21,1),(70,1),(71,1),(118,1),(126,1),(131,1),(132,1),(134,1)}
         8:{1,2,4,5,7}:{(1,1),(2,1),(15,1),(17,1),(22,1),(23,1),(58,1),(64,1),(72,1),(80,1),(113,1),(117,1),(119,1),(125,1),(127,1),(134,1),(137,1),(171,1),(179,1),(204,1),(206,1)}
         9:{1,4,6}:{(1,1),(3,1),(16,1),(24,1)}
        10:{2,4,6}:{(2,1),(3,1),(18,1),(25,1)}
        11:{3,5,6}:{(3,1),(21,1),(24,1),(25,1),(26,1)}
        12:{1,2,4,7}:{(4,1),(17,1),(27,1),(28,1),(64,1),(202,1)}
        13:{2,3,4,6}:{(4,1),(18,1),(28,1),(29,1),(67,1),(75,1),(129,1),(138,1),(184,1)}
        14:{1,3,4,7}:{(5,1),(30,1),(31,1),(45,1),(87,1),(146,1),(164,1),(193,1)}
        15:{1,2,5,7}:{(5,1),(30,1),(33,1),(34,1),(83,1),(166,1),(199,1)}
        16:{1,3,6}:{(5,1),(9,1),(34,1),(46,1),(208,1)}
        17:{1,2,5,7}:{(6,1),(12,1),(37,1),(38,1),(51,1),(190,1),(194,1)}
        18:{2,3,6}:{(6,1),(10,1),(38,1),(46,1),(209,1)}
        19:{1,4,6,7}:{(7,1),(9,1),(32,1),(42,1),(87,1),(155,1),(161,1)}
        20:{2,4,6,7}:{(7,1),(10,1),(36,1),(43,1),(94,1),(147,1),(160,1)}
        21:{3,5,7}:{(7,1),(11,1),(42,1),(43,1),(44,1)}
        22:{3,5,7}:{(8,1),(45,1),(46,1),(105,1),(110,1),(142,1),(146,1),(154,1)}
        23:{1,2,4,6}:{(8,1),(9,1),(10,1),(34,1),(38,1),(46,1),(47,1),(88,1),(95,1),(106,1),(191,1),(196,1),(208,1),(209,1)}
        24:{1,5,6}:{(9,1),(11,1),(42,1)}
        25:{2,5,6}:{(10,1),(11,1),(43,1)}
        26:{4,5,6}:{(11,1),(44,1),(106,1)}
        27:{1,3,7}:{(12,1),(50,1),(154,1),(207,1)}
        28:{1,2,4,6}:{(12,1),(13,1),(38,1),(50,1),(51,1),(95,1),(109,1)}
        29:{2,3,5}:{(13,1),(51,1),(52,1),(105,1),(110,1),(200,1)}
        30:{1,2,4,7}:{(14,1),(15,1),(53,1),(54,1),(58,1),(187,1)}
        31:{1,3,4,6}:{(14,1),(16,1),(54,1),(55,1),(61,1),(75,1),(121,1),(167,1),(176,1)}
        32:{1,3,6,7}:{(16,1),(19,1),(56,1),(57,1),(71,1),(131,1),(181,1)}
        33:{2,3,5,7}:{(15,1),(22,1),(53,1),(58,1),(59,1),(112,1),(119,1),(140,1),(182,1),(206,1)}
        34:{1,2,6}:{(15,1),(16,1),(59,1)}
        35:{1,3,5,6}:{(16,1),(24,1),(55,1),(57,1),(60,1),(61,1),(76,1),(77,1),(121,1)}
        36:{2,3,6,7}:{(18,1),(20,1),(62,1),(63,1),(71,1),(132,1),(174,1)}
        37:{1,3,5,7}:{(17,1),(22,1),(27,1),(64,1),(65,1),(79,1),(127,1),(168,1),(173,1),(204,1)}
        38:{1,2,6}:{(17,1),(18,1),(65,1)}
        39:{2,3,5,6}:{(18,1),(25,1),(29,1),(63,1),(66,1),(67,1),(76,1),(78,1),(129,1)}
        40:{3,5,6,7}:{(21,1),(68,1),(69,1),(70,1),(131,1),(132,1)}
        41:{1,2,4,6,7}:{(19,1),(20,1),(23,1),(56,1),(62,1),(71,1),(72,1),(115,1),(117,1),(123,1),(125,1),(134,1)}
        42:{1,5,7}:{(19,1),(21,1),(24,1)}
        43:{2,5,7}:{(20,1),(21,1),(25,1)}
        44:{4,5,7}:{(21,1),(26,1),(70,1),(134,1)}
        45:{3,4,7}:{(22,1),(58,1),(64,1),(75,1),(134,1),(138,1),(167,1)}
        46:{3,6}:{(22,1),(23,1)}
        47:{1,2,5,6}:{(23,1),(24,1),(25,1),(72,1),(76,1),(119,1),(127,1),(170,1),(178,1)}
        48:{1,4,5,6}:{(24,1),(26,1),(61,1),(73,1),(77,1)}
        49:{2,4,5,6}:{(25,1),(26,1),(67,1),(74,1),(78,1)}
        50:{1,3,6}:{(27,1),(28,1),(79,1),(129,1)}
        51:{1,2,5}:{(28,1),(29,1),(79,1),(127,1)}
        52:{2,4,5}:{(29,1),(67,1),(81,1),(137,1)}
        53:{2,3,7}:{(30,1),(82,1),(146,1),(201,1)}
        54:{1,2,4,6}:{(30,1),(31,1),(34,1),(82,1),(83,1),(88,1),(141,1)}
        55:{1,3,5}:{(31,1),(83,1),(84,1),(105,1),(142,1),(195,1)}
        56:{1,2,6,7}:{(32,1),(34,1),(85,1),(86,1),(160,1),(199,1),(208,1)}
        57:{1,3,5,7}:{(32,1),(35,1),(42,1),(86,1),(87,1),(102,1),(103,1),(146,1)}
        58:{2,4,7}:{(33,1),(45,1),(88,1),(141,1),(165,1)}
        59:{2,3,6}:{(33,1),(34,1),(46,1),(88,1),(209,1)}
        60:{1,2,5,6}:{(34,1),(35,1),(83,1),(86,1),(89,1),(90,1),(107,1),(195,1),(208,1)}
        61:{1,4,6}:{(35,1),(84,1),(87,1),(91,1),(106,1)}
        62:{1,2,6,7}:{(36,1),(38,1),(92,1),(93,1),(161,1),(194,1),(209,1)}
        63:{2,3,5,7}:{(36,1),(39,1),(43,1),(93,1),(94,1),(102,1),(104,1),(154,1)}
        64:{1,4,7}:{(37,1),(45,1),(95,1),(109,1),(188,1)}
        65:{1,3,6}:{(37,1),(38,1),(46,1),(95,1),(208,1)}
        66:{1,2,5,6}:{(38,1),(39,1),(51,1),(93,1),(96,1),(97,1),(108,1),(200,1),(209,1)}
        67:{2,4,6}:{(39,1),(52,1),(94,1),(98,1),(106,1)}
        68:{1,5,6,7}:{(40,1),(42,1),(99,1),(161,1)}
        69:{2,5,6,7}:{(40,1),(43,1),(100,1),(160,1)}
        70:{4,6,7}:{(40,1),(44,1)}
        71:{3,6,7}:{(41,1),(46,1),(102,1),(146,1),(154,1)}
        72:{1,2,5,7}:{(41,1),(42,1),(43,1),(47,1),(102,1),(144,1),(152,1)}
        73:{1,4,5,7}:{(42,1),(44,1),(48,1),(87,1),(99,1),(103,1)}
        74:{2,4,5,7}:{(43,1),(44,1),(49,1),(94,1),(100,1),(104,1)}
        75:{3,4,6}:{(45,1),(46,1),(88,1),(95,1),(105,1),(106,1)}
        76:{3,5,6}:{(46,1),(47,1),(102,1),(105,1),(106,1)}
        77:{3,5,6}:{(48,1),(91,1),(103,1),(107,1)}
        78:{3,5,6}:{(49,1),(98,1),(104,1),(108,1)}
        79:{1,3,5}:{(50,1),(51,1),(109,1),(110,1)}
        80:{1,2,4,5}:{(51,1),(52,1),(97,1),(109,1),(110,1),(111,1),(156,1),(165,1),(166,1),(200,1)}
        81:{3,4,5}:{(52,1),(98,1),(110,1),(111,1)}
        82:{2,3,6}:{(53,1),(54,1),(112,1),(121,1)}
        83:{1,2,5}:{(54,1),(55,1),(112,1),(119,1)}
        84:{1,4,5}:{(55,1),(61,1),(114,1),(137,1)}
        85:{2,3,6,7}:{(56,1),(59,1),(71,1),(115,1),(116,1),(182,1),(203,1)}
        86:{1,2,5,7}:{(56,1),(57,1),(60,1),(116,1),(117,1),(135,1),(204,1)}
        87:{1,4,7}:{(57,1),(61,1),(118,1),(134,1)}
        88:{2,4,6}:{(58,1),(59,1),(75,1),(119,1)}
        89:{2,3,5,6}:{(59,1),(60,1),(76,1),(112,1),(116,1),(119,1),(120,1),(121,1),(170,1),(175,1),(203,1)}
        90:{1,2,4,6}:{(60,1),(61,1),(113,1),(117,1),(120,1),(121,1),(122,1),(176,1),(177,1)}
        91:{3,4,6}:{(61,1),(77,1),(114,1),(118,1),(121,1),(122,1)}
        92:{1,3,6,7}:{(62,1),(65,1),(71,1),(123,1),(124,1),(173,1),(205,1)}
        93:{1,2,5,7}:{(62,1),(63,1),(66,1),(124,1),(125,1),(136,1),(206,1)}
        94:{2,4,7}:{(63,1),(67,1),(126,1),(134,1)}
        95:{1,4,6}:{(64,1),(65,1),(75,1),(127,1)}
        96:{1,3,5,6}:{(65,1),(66,1),(76,1),(79,1),(124,1),(127,1),(128,1),(129,1),(178,1),(183,1),(205,1)}
        97:{1,2,4,6}:{(66,1),(67,1),(80,1),(125,1),(128,1),(129,1),(130,1),(184,1),(185,1)}
        98:{3,4,6}:{(67,1),(78,1),(81,1),(126,1),(129,1),(130,1)}
        99:{1,4,6,7}:{(68,1),(70,1),(73,1),(131,1)}
       100:{2,4,6,7}:{(69,1),(70,1),(74,1),(132,1)}
       101:{3,4,6,7}:{(71,1),(75,1),(115,1),(123,1),(133,1),(134,1),(172,1),(180,1),(186,1),(203,1),(205,1)}
       102:{3,5,7}:{(71,1),(72,1),(76,1),(134,1)}
       103:{3,5,7}:{(73,1),(77,1),(118,1),(131,1),(135,1)}
       104:{3,5,7}:{(74,1),(78,1),(126,1),(132,1),(136,1)}
       105:{3,5}:{(75,1),(119,1),(127,1),(137,1)}
       106:{4,6}:{(76,1),(134,1),(137,1)}
       107:{2,5,6}:{(77,1),(122,1),(135,1)}
       108:{1,5,6}:{(78,1),(130,1),(136,1)}
       109:{1,4}:{(79,1),(138,1)}
       110:{3,5}:{(80,1),(129,1),(138,1)}
       111:{1,4,5}:{(81,1),(130,1),(139,1)}
       112:{2,3,5}:{(82,1),(83,1),(141,1),(142,1)}
       113:{1,2,4,5}:{(83,1),(84,1),(90,1),(141,1),(142,1),(143,1),(148,1),(188,1),(190,1),(195,1)}
       114:{3,4,5}:{(84,1),(91,1),(142,1),(143,1)}
       115:{2,4,6,7}:{(85,1),(88,1),(101,1),(144,1),(145,1),(191,1),(198,1),(209,1)}
       116:{2,3,5,7}:{(85,1),(86,1),(89,1),(102,1),(144,1),(145,1),(146,1),(192,1)}
       117:{1,2,4,7}:{(86,1),(87,1),(90,1),(145,1),(146,1),(147,1),(193,1),(194,1)}
       118:{3,4,7}:{(87,1),(91,1),(103,1),(146,1),(147,1)}
       119:{2,5}:{(88,1),(105,1)}
       120:{2,4,6}:{(89,1),(106,1),(141,1),(145,1),(148,1),(149,1)}
       121:{3,6}:{(90,1),(142,1),(146,1)}
       122:{2,4,6}:{(91,1),(107,1),(143,1),(147,1),(151,1)}
       123:{1,4,6,7}:{(92,1),(95,1),(101,1),(152,1),(153,1),(193,1),(196,1),(208,1)}
       124:{1,3,5,7}:{(92,1),(93,1),(96,1),(102,1),(152,1),(153,1),(154,1),(197,1)}
       125:{1,2,4,7}:{(93,1),(94,1),(97,1),(153,1),(154,1),(155,1),(198,1),(199,1)}
       126:{3,4,7}:{(94,1),(98,1),(104,1),(154,1),(155,1)}
       127:{1,5}:{(95,1),(105,1)}
       128:{1,4,6}:{(96,1),(106,1),(109,1),(153,1),(156,1),(157,1)}
       129:{3,6}:{(97,1),(110,1),(154,1)}
       130:{1,4,6}:{(98,1),(108,1),(111,1),(155,1),(158,1)}
       131:{3,6,7}:{(99,1),(103,1),(160,1)}
       132:{3,6,7}:{(100,1),(104,1),(161,1)}
       133:{3,5,7}:{(101,1),(105,1),(144,1),(152,1),(162,1),(163,1)}
       134:{4,7}:{(102,1),(106,1)}
       135:{2,5,7}:{(103,1),(107,1),(147,1),(160,1)}
       136:{1,5,7}:{(104,1),(108,1),(155,1),(161,1)}
       137:{4,5}:{(105,1),(106,1)}
       138:{3,4}:{(109,1),(110,1),(165,1)}
       139:{1,3,5}:{(110,1),(111,1),(158,1),(164,1),(166,1)}
       140:{2,3,5}:{(110,1),(159,1),(165,1),(166,1),(200,1),(201,1)}
       141:{2,4}:{(112,1),(167,1)}
       142:{3,5}:{(113,1),(121,1),(167,1)}
       143:{2,4,5}:{(114,1),(122,1),(169,1)}
       144:{2,5,7}:{(115,1),(119,1),(133,1),(170,1)}
       145:{2,4,7}:{(116,1),(120,1),(134,1),(172,1)}
       146:{3,7}:{(117,1),(121,1)}
       147:{2,4,7}:{(118,1),(122,1),(135,1),(174,1)}
       148:{2,4,5}:{(119,1),(120,1),(137,1),(175,1)}
       149:{3,4,6}:{(120,1),(121,1),(167,1),(172,1),(175,1),(176,1),(203,1)}
       150:{1,3,6}:{(121,1),(168,1),(173,1),(176,1),(177,1)}
       151:{2,3,6}:{(121,1),(122,1),(169,1),(174,1),(177,1)}
       152:{1,5,7}:{(123,1),(127,1),(133,1),(178,1)}
       153:{1,4,7}:{(124,1),(128,1),(134,1),(180,1)}
       154:{3,7}:{(125,1),(129,1)}
       155:{1,4,7}:{(126,1),(130,1),(136,1),(181,1)}
       156:{1,4,5}:{(127,1),(128,1),(137,1),(183,1)}
       157:{3,4,6}:{(128,1),(129,1),(138,1),(180,1),(183,1),(184,1),(205,1)}
       158:{1,3,6}:{(129,1),(130,1),(139,1),(181,1),(185,1)}
       159:{2,3,6}:{(129,1),(140,1),(182,1),(184,1),(185,1)}
       160:{2,6,7}:{(131,1),(135,1)}
       161:{1,6,7}:{(132,1),(136,1)}
       162:{3,5,6}:{(133,1),(170,1),(178,1),(186,1),(203,1),(205,1)}
       163:{4,5,7}:{(133,1),(134,1),(137,1),(186,1)}
       164:{1,3,4}:{(138,1),(139,1),(187,1)}
       165:{2,4}:{(138,1),(140,1)}
       166:{1,2,5}:{(139,1),(140,1),(185,1),(187,1)}
       167:{3,4}:{(141,1),(142,1),(188,1)}
       168:{1,3,5}:{(142,1),(150,1),(188,1),(190,1),(195,1),(207,1)}
       169:{2,3,5}:{(142,1),(143,1),(151,1),(189,1),(190,1)}
       170:{2,5,6}:{(144,1),(162,1),(191,1),(209,1)}
       171:{2,4,5,7}:{(144,1),(145,1),(148,1),(163,1),(191,1),(192,1)}
       172:{3,4,7}:{(145,1),(146,1),(149,1),(192,1),(193,1)}
       173:{1,3,7}:{(146,1),(150,1),(193,1),(194,1)}
       174:{2,3,7}:{(146,1),(147,1),(151,1),(194,1)}
       175:{3,5}:{(148,1),(149,1),(195,1)}
       176:{1,4,6}:{(149,1),(150,1),(188,1),(193,1),(195,1),(208,1)}
       177:{1,2,6}:{(150,1),(151,1),(190,1),(194,1)}
       178:{1,5,6}:{(152,1),(162,1),(196,1),(208,1)}
       179:{1,4,5,7}:{(152,1),(153,1),(156,1),(163,1),(196,1),(197,1)}
       180:{3,4,7}:{(153,1),(154,1),(157,1),(197,1),(198,1)}
       181:{1,3,7}:{(154,1),(155,1),(158,1),(199,1)}
       182:{2,3,7}:{(154,1),(159,1),(198,1),(199,1)}
       183:{3,5}:{(156,1),(157,1),(200,1)}
       184:{2,4,6}:{(157,1),(159,1),(165,1),(198,1),(200,1),(209,1)}
       185:{1,2,6}:{(158,1),(159,1),(166,1),(199,1)}
       186:{4,6}:{(162,1),(163,1)}
       187:{1,2,4}:{(164,1),(165,1),(166,1),(201,1)}
       188:{1,4}:{(167,1),(168,1)}
       189:{2,3,4}:{(167,1),(169,1),(202,1)}
       190:{1,2,5}:{(168,1),(169,1),(177,1),(202,1)}
       191:{2,4,6}:{(170,1),(171,1),(186,1),(203,1)}
       192:{3,5,7}:{(171,1),(172,1),(175,1),(203,1),(204,1)}
       193:{1,4,7}:{(172,1),(173,1),(176,1),(204,1)}
       194:{1,2,7}:{(173,1),(174,1),(177,1)}
       195:{1,5}:{(175,1),(176,1)}
       196:{1,4,6}:{(178,1),(179,1),(186,1),(205,1)}
       197:{3,5,7}:{(179,1),(180,1),(183,1),(205,1),(206,1)}
       198:{2,4,7}:{(180,1),(182,1),(184,1),(206,1)}
       199:{1,2,7}:{(181,1),(182,1),(185,1)}
       200:{2,5}:{(183,1),(184,1)}
       201:{2,3}:{(187,1)}
       202:{1,2,4}:{(188,1),(189,1),(190,1),(207,1)}
       203:{3,6}:{(191,1),(192,1),(208,1)}
       204:{1,5,7}:{(192,1),(193,1),(195,1),(208,1)}
       205:{3,6}:{(196,1),(197,1),(209,1)}
       206:{2,5,7}:{(197,1),(198,1),(200,1),(209,1)}
       207:{1,3}:{(202,1)}
       208:{1,6}:{(203,1),(204,1)}
       209:{2,6}:{(205,1),(206,1)}

 445 :  0:{3,4,5}:{(2,1),(3,1),(4,1),(28,1),(72,1)}
        1:{4,5,6}:{(9,1),(10,1),(63,1),(83,1)}
        2:{3,4,6}:{(0,1),(10,1),(11,1),(12,1),(13,1),(42,1),(63,1)}
        3:{1,4,5}:{(0,1),(6,1),(12,1)}
        4:{2,4,5}:{(0,1),(7,1),(13,1)}
        5:{2,3,4}:{(7,1),(15,1),(43,1)}
        6:{1,3,5}:{(3,1),(16,1),(17,1),(18,1),(28,1)}
        7:{2,3,5}:{(4,1),(5,1),(19,1),(20,1),(28,1)}
        8:{5,6,7}:{(21,1),(81,1)}
        9:{4,5,7}:{(1,1),(21,1),(22,1),(71,1),(81,1)}
       10:{3,5,6}:{(1,1),(2,1),(22,1),(23,1),(24,1)}
       11:{3,4,7}:{(2,1),(22,1),(25,1),(26,1),(55,1),(71,1)}
       12:{1,4,6}:{(2,1),(3,1),(17,1),(23,1),(25,1)}
       13:{2,4,6}:{(2,1),(4,1),(19,1),(24,1),(26,1)}
       14:{1,2,4,5}:{(3,1),(4,1),(18,1),(20,1),(27,1),(28,1),(47,1),(50,1),(67,1),(69,1),(72,1)}
       15:{1,2,4}:{(5,1),(20,1),(29,1),(50,1)}
       16:{1,3,4}:{(6,1),(30,1),(43,1)}
       17:{1,3,6}:{(6,1),(12,1),(31,1),(32,1),(42,1)}
       18:{1,2,5}:{(6,1),(30,1),(32,1),(33,1)}
       19:{2,3,6}:{(7,1),(13,1),(34,1),(35,1),(42,1)}
       20:{1,2,5}:{(7,1),(15,1),(35,1),(36,1)}
       21:{4,6,7}:{(8,1),(9,1),(37,1)}
       22:{3,5,7}:{(9,1),(10,1),(11,1),(37,1),(38,1),(39,1)}
       23:{1,5,6}:{(10,1),(12,1),(38,1)}
       24:{2,5,6}:{(10,1),(13,1),(39,1)}
       25:{1,4,7}:{(11,1),(12,1),(31,1),(38,1)}
       26:{2,4,7}:{(11,1),(13,1),(34,1),(39,1)}
       27:{1,2,4,6}:{(12,1),(13,1),(14,1),(32,1),(35,1),(40,1),(41,1),(42,1),(58,1),(60,1),(63,1)}
       28:{3,5}:{(14,1),(42,1),(43,1)}
       29:{1,3}:{(15,1)}
       30:{1,2,4}:{(16,1),(18,1),(44,1),(47,1)}
       31:{1,3,7}:{(17,1),(25,1),(45,1),(55,1)}
       32:{1,2,6}:{(17,1),(18,1),(45,1),(46,1)}
       33:{2,3,5}:{(18,1),(28,1),(44,1),(46,1),(47,1),(67,1)}
       34:{2,3,7}:{(19,1),(26,1),(48,1),(55,1)}
       35:{1,2,6}:{(19,1),(20,1),(48,1),(49,1)}
       36:{1,3,5}:{(20,1),(28,1),(29,1),(49,1),(50,1),(69,1)}
       37:{3,6,7}:{(21,1),(22,1),(51,1),(52,1)}
       38:{1,5,7}:{(22,1),(23,1),(25,1),(51,1)}
       39:{2,5,7}:{(22,1),(24,1),(26,1),(52,1)}
       40:{1,2,5,6}:{(23,1),(24,1),(27,1),(53,1),(54,1),(67,1),(69,1),(79,1),(80,1)}
       41:{1,2,4,7}:{(25,1),(26,1),(27,1),(45,1),(48,1),(53,1),(55,1),(66,1),(68,1),(71,1)}
       42:{3,6}:{(27,1),(28,1),(55,1)}
       43:{3,4}:{(28,1),(47,1),(50,1)}
       44:{2,3}:{(30,1)}
       45:{1,2,7}:{(31,1),(32,1),(57,1)}
       46:{2,3,6}:{(32,1),(33,1),(42,1),(57,1),(58,1)}
       47:{2,4}:{(33,1),(43,1)}
       48:{1,2,7}:{(34,1),(35,1),(59,1)}
       49:{1,3,6}:{(35,1),(36,1),(42,1),(59,1),(60,1)}
       50:{1,4}:{(36,1),(43,1)}
       51:{1,6,7}:{(37,1),(38,1)}
       52:{2,6,7}:{(37,1),(39,1)}
       53:{1,2,5,7}:{(38,1),(39,1),(40,1),(41,1),(61,1),(62,1),(74,1),(75,1)}
       54:{3,5,6}:{(40,1),(42,1),(62,1),(63,1),(65,1),(78,1),(83,1)}
       55:{3,7}:{(41,1),(42,1)}
       56:{3,4,6}:{(42,1),(43,1),(58,1),(60,1),(63,1),(64,1),(65,1),(78,1)}
       57:{2,3,7}:{(45,1),(46,1),(55,1),(66,1)}
       58:{2,4,6}:{(46,1),(47,1),(56,1),(66,1),(67,1),(79,1)}
       59:{1,3,7}:{(48,1),(49,1),(55,1),(68,1)}
       60:{1,4,6}:{(49,1),(50,1),(56,1),(68,1),(69,1),(80,1)}
       61:{1,2,6,7}:{(51,1),(52,1),(53,1),(70,1),(79,1),(80,1)}
       62:{3,5,7}:{(53,1),(54,1),(55,1),(70,1),(71,1),(81,1)}
       63:{4,6}:{(54,1),(71,1),(72,1)}
       64:{3,4,7}:{(55,1),(56,1),(66,1),(68,1),(71,1),(73,1)}
       65:{3,5}:{(56,1),(67,1),(69,1),(72,1)}
       66:{2,4,7}:{(57,1),(58,1),(64,1),(74,1)}
       67:{2,5}:{(58,1),(65,1)}
       68:{1,4,7}:{(59,1),(60,1),(64,1),(75,1)}
       69:{1,5}:{(60,1),(65,1)}
       70:{3,6,7}:{(61,1),(62,1),(76,1),(78,1)}
       71:{4,7}:{(62,1),(63,1)}
       72:{4,5}:{(63,1),(65,1)}
       73:{3,5,7}:{(64,1),(65,1),(74,1),(75,1),(77,1),(78,1)}
       74:{2,5,7}:{(66,1),(67,1),(73,1),(79,1)}
       75:{1,5,7}:{(68,1),(69,1),(73,1),(80,1)}
       76:{4,6,7}:{(70,1),(71,1),(81,1),(82,1)}
       77:{4,5,7}:{(71,1),(72,1),(73,1),(81,1),(82,1)}
       78:{3,6}:{(73,1),(79,1),(80,1),(82,1)}
       79:{2,6}:{(74,1),(78,1)}
       80:{1,6}:{(75,1),(78,1)}
       81:{5,7}:{(76,1),(83,1)}
       82:{4,6}:{(77,1),(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 446 :  0:{4,5,6}:{(2,1),(3,1),(47,1),(81,1)}
        1:{5,6,7}:{(6,1),(76,1)}
        2:{4,5,7}:{(0,1),(6,1),(7,1),(59,1),(76,1)}
        3:{3,5,6}:{(0,1),(5,1),(7,1),(8,1),(9,1)}
        4:{3,4,5}:{(5,1),(10,1),(11,1),(36,1),(60,1)}
        5:{3,4,6}:{(3,1),(4,1),(13,1),(14,1),(15,1),(44,1),(47,1)}
        6:{4,6,7}:{(1,1),(2,1),(16,1)}
        7:{3,5,7}:{(2,1),(3,1),(13,1),(16,1),(17,1),(18,1)}
        8:{1,5,6}:{(3,1),(14,1),(17,1)}
        9:{2,5,6}:{(3,1),(15,1),(18,1)}
       10:{1,4,5}:{(4,1),(14,1),(20,1)}
       11:{2,4,5}:{(4,1),(15,1),(21,1)}
       12:{2,3,4}:{(21,1),(23,1),(50,1)}
       13:{3,4,7}:{(5,1),(7,1),(27,1),(28,1),(56,1),(59,1)}
       14:{1,4,6}:{(5,1),(8,1),(10,1),(25,1),(27,1)}
       15:{2,4,6}:{(5,1),(9,1),(11,1),(26,1),(28,1)}
       16:{3,6,7}:{(6,1),(7,1),(30,1),(31,1)}
       17:{1,5,7}:{(7,1),(8,1),(27,1),(30,1)}
       18:{2,5,7}:{(7,1),(9,1),(28,1),(31,1)}
       19:{1,2,5,6}:{(8,1),(9,1),(29,1),(32,1),(33,1),(72,1),(74,1),(82,1),(83,1)}
       20:{1,3,5}:{(10,1),(24,1),(25,1),(34,1),(36,1)}
       21:{2,3,5}:{(11,1),(12,1),(26,1),(35,1),(36,1)}
       22:{1,2,4,5}:{(10,1),(11,1),(29,1),(34,1),(35,1),(36,1),(60,1),(61,1),(62,1),(72,1),(74,1)}
       23:{1,2,4}:{(12,1),(35,1),(37,1),(62,1)}
       24:{1,3,4}:{(20,1),(38,1),(50,1)}
       25:{1,3,6}:{(14,1),(20,1),(39,1),(40,1),(44,1)}
       26:{2,3,6}:{(15,1),(21,1),(41,1),(42,1),(44,1)}
       27:{1,4,7}:{(13,1),(14,1),(17,1),(39,1)}
       28:{2,4,7}:{(13,1),(15,1),(18,1),(41,1)}
       29:{1,2,4,6}:{(14,1),(15,1),(19,1),(22,1),(40,1),(42,1),(43,1),(44,1),(47,1),(64,1),(66,1)}
       30:{1,6,7}:{(16,1),(17,1)}
       31:{2,6,7}:{(16,1),(18,1)}
       32:{1,2,5,7}:{(17,1),(18,1),(19,1),(43,1),(45,1),(46,1),(78,1),(79,1)}
       33:{3,5,6}:{(19,1),(44,1),(46,1),(47,1),(68,1),(80,1),(81,1)}
       34:{1,2,5}:{(20,1),(38,1),(40,1),(48,1)}
       35:{1,2,5}:{(21,1),(23,1),(42,1),(49,1)}
       36:{3,5}:{(22,1),(44,1),(50,1)}
       37:{1,3}:{(23,1)}
       38:{1,2,4}:{(24,1),(34,1),(51,1),(61,1)}
       39:{1,3,7}:{(25,1),(27,1),(52,1),(56,1)}
       40:{1,2,6}:{(25,1),(34,1),(52,1),(53,1)}
       41:{2,3,7}:{(26,1),(28,1),(54,1),(56,1)}
       42:{1,2,6}:{(26,1),(35,1),(54,1),(55,1)}
       43:{1,2,4,7}:{(27,1),(28,1),(29,1),(32,1),(52,1),(54,1),(56,1),(59,1),(71,1),(73,1)}
       44:{3,6}:{(29,1),(36,1),(56,1)}
       45:{1,2,6,7}:{(30,1),(31,1),(32,1),(58,1),(82,1),(83,1)}
       46:{3,5,7}:{(32,1),(33,1),(56,1),(58,1),(59,1),(76,1)}
       47:{4,6}:{(33,1),(59,1),(60,1)}
       48:{2,3,5}:{(34,1),(36,1),(51,1),(53,1),(61,1),(72,1)}
       49:{1,3,5}:{(35,1),(36,1),(37,1),(55,1),(62,1),(74,1)}
       50:{3,4}:{(36,1),(61,1),(62,1)}
       51:{2,3}:{(38,1)}
       52:{1,2,7}:{(39,1),(40,1),(63,1)}
       53:{2,3,6}:{(40,1),(44,1),(48,1),(63,1),(64,1)}
       54:{1,2,7}:{(41,1),(42,1),(65,1)}
       55:{1,3,6}:{(42,1),(44,1),(49,1),(65,1),(66,1)}
       56:{3,7}:{(43,1),(44,1)}
       57:{3,4,6}:{(44,1),(47,1),(50,1),(64,1),(66,1),(67,1),(68,1),(80,1)}
       58:{3,6,7}:{(45,1),(46,1),(69,1),(80,1)}
       59:{4,7}:{(46,1),(47,1)}
       60:{4,5}:{(47,1),(68,1)}
       61:{2,4}:{(48,1),(50,1)}
       62:{1,4}:{(49,1),(50,1)}
       63:{2,3,7}:{(52,1),(53,1),(56,1),(71,1)}
       64:{2,4,6}:{(53,1),(57,1),(61,1),(71,1),(72,1),(82,1)}
       65:{1,3,7}:{(54,1),(55,1),(56,1),(73,1)}
       66:{1,4,6}:{(55,1),(57,1),(62,1),(73,1),(74,1),(83,1)}
       67:{3,4,7}:{(56,1),(57,1),(59,1),(71,1),(73,1),(75,1)}
       68:{3,5}:{(57,1),(60,1),(72,1),(74,1)}
       69:{4,6,7}:{(58,1),(59,1),(76,1),(77,1)}
       70:{4,5,7}:{(59,1),(60,1),(75,1),(76,1),(77,1)}
       71:{2,4,7}:{(63,1),(64,1),(67,1),(78,1)}
       72:{2,5}:{(64,1),(68,1)}
       73:{1,4,7}:{(65,1),(66,1),(67,1),(79,1)}
       74:{1,5}:{(66,1),(68,1)}
       75:{3,5,7}:{(67,1),(68,1),(70,1),(78,1),(79,1),(80,1)}
       76:{5,7}:{(69,1),(81,1)}
       77:{4,6}:{(70,1),(80,1),(81,1)}
       78:{2,5,7}:{(71,1),(72,1),(75,1),(82,1)}
       79:{1,5,7}:{(73,1),(74,1),(75,1),(83,1)}
       80:{3,6}:{(75,1),(77,1),(82,1),(83,1)}
       81:{5,6}:{(76,1),(77,1)}
       82:{2,6}:{(78,1),(80,1)}
       83:{1,6}:{(79,1),(80,1)}

 447 :  0:{5,6,7}:{(1,1),(58,1)}
        1:{4,6,7}:{(0,1),(3,1),(4,1)}
        2:{4,5,6}:{(3,1),(5,1),(49,1),(69,1)}
        3:{4,5,7}:{(1,1),(2,1),(7,1),(57,1),(58,1)}
        4:{3,6,7}:{(1,1),(7,1),(8,1),(9,1)}
        5:{3,5,6}:{(2,1),(7,1),(10,1),(11,1),(12,1)}
        6:{3,4,5}:{(10,1),(13,1),(14,1),(38,1),(62,1)}
        7:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(17,1),(18,1)}
        8:{1,6,7}:{(4,1),(17,1)}
        9:{2,6,7}:{(4,1),(18,1)}
       10:{3,4,6}:{(5,1),(6,1),(16,1),(20,1),(21,1),(48,1),(49,1)}
       11:{1,5,6}:{(5,1),(17,1),(20,1)}
       12:{2,5,6}:{(5,1),(18,1),(21,1)}
       13:{1,4,5}:{(6,1),(20,1),(23,1)}
       14:{2,4,5}:{(6,1),(21,1),(24,1)}
       15:{2,3,4}:{(24,1),(26,1),(52,1)}
       16:{3,4,7}:{(7,1),(10,1),(28,1),(29,1),(56,1),(57,1)}
       17:{1,5,7}:{(7,1),(8,1),(11,1),(28,1)}
       18:{2,5,7}:{(7,1),(9,1),(12,1),(29,1)}
       19:{1,2,6,7}:{(8,1),(9,1),(30,1),(31,1),(82,1),(83,1)}
       20:{1,4,6}:{(10,1),(11,1),(13,1),(28,1),(32,1)}
       21:{2,4,6}:{(10,1),(12,1),(14,1),(29,1),(33,1)}
       22:{1,2,5,6}:{(11,1),(12,1),(30,1),(34,1),(35,1),(77,1),(78,1),(82,1),(83,1)}
       23:{1,3,5}:{(13,1),(27,1),(32,1),(36,1),(38,1)}
       24:{2,3,5}:{(14,1),(15,1),(33,1),(37,1),(38,1)}
       25:{1,2,4,5}:{(13,1),(14,1),(34,1),(36,1),(37,1),(38,1),(62,1),(63,1),(64,1),(77,1),(78,1)}
       26:{1,2,4}:{(15,1),(37,1),(39,1),(64,1)}
       27:{1,3,4}:{(23,1),(40,1),(52,1)}
       28:{1,4,7}:{(16,1),(17,1),(20,1),(41,1)}
       29:{2,4,7}:{(16,1),(18,1),(21,1),(42,1)}
       30:{1,2,5,7}:{(17,1),(18,1),(19,1),(22,1),(43,1),(44,1),(79,1),(80,1)}
       31:{3,6,7}:{(19,1),(44,1),(45,1),(81,1)}
       32:{1,3,6}:{(20,1),(23,1),(41,1),(46,1),(48,1)}
       33:{2,3,6}:{(21,1),(24,1),(42,1),(47,1),(48,1)}
       34:{1,2,4,6}:{(20,1),(21,1),(22,1),(25,1),(43,1),(46,1),(47,1),(48,1),(49,1),(70,1),(71,1)}
       35:{3,5,6}:{(22,1),(44,1),(48,1),(49,1),(69,1),(72,1),(81,1)}
       36:{1,2,5}:{(23,1),(40,1),(46,1),(50,1)}
       37:{1,2,5}:{(24,1),(26,1),(47,1),(51,1)}
       38:{3,5}:{(25,1),(48,1),(52,1)}
       39:{1,3}:{(26,1)}
       40:{1,2,4}:{(27,1),(36,1),(53,1),(63,1)}
       41:{1,3,7}:{(28,1),(32,1),(54,1),(56,1)}
       42:{2,3,7}:{(29,1),(33,1),(55,1),(56,1)}
       43:{1,2,4,7}:{(28,1),(29,1),(30,1),(34,1),(54,1),(55,1),(56,1),(57,1),(73,1),(74,1)}
       44:{3,5,7}:{(30,1),(31,1),(35,1),(56,1),(57,1),(58,1)}
       45:{4,6,7}:{(31,1),(57,1),(58,1),(76,1)}
       46:{1,2,6}:{(32,1),(36,1),(54,1),(59,1)}
       47:{1,2,6}:{(33,1),(37,1),(55,1),(60,1)}
       48:{3,6}:{(34,1),(38,1),(56,1)}
       49:{4,6}:{(35,1),(57,1),(62,1)}
       50:{2,3,5}:{(36,1),(38,1),(53,1),(59,1),(63,1),(77,1)}
       51:{1,3,5}:{(37,1),(38,1),(39,1),(60,1),(64,1),(78,1)}
       52:{3,4}:{(38,1),(63,1),(64,1)}
       53:{2,3}:{(40,1)}
       54:{1,2,7}:{(41,1),(46,1),(65,1)}
       55:{1,2,7}:{(42,1),(47,1),(66,1)}
       56:{3,7}:{(43,1),(48,1)}
       57:{4,7}:{(44,1),(49,1)}
       58:{5,7}:{(45,1),(69,1)}
       59:{2,3,6}:{(46,1),(48,1),(50,1),(65,1),(70,1)}
       60:{1,3,6}:{(47,1),(48,1),(51,1),(66,1),(71,1)}
       61:{3,4,6}:{(48,1),(49,1),(52,1),(67,1),(70,1),(71,1),(72,1),(81,1)}
       62:{4,5}:{(49,1),(72,1)}
       63:{2,4}:{(50,1),(52,1)}
       64:{1,4}:{(51,1),(52,1)}
       65:{2,3,7}:{(54,1),(56,1),(59,1),(73,1)}
       66:{1,3,7}:{(55,1),(56,1),(60,1),(74,1)}
       67:{3,4,7}:{(56,1),(57,1),(61,1),(73,1),(74,1),(75,1)}
       68:{4,5,7}:{(57,1),(58,1),(62,1),(75,1),(76,1)}
       69:{5,6}:{(58,1),(76,1)}
       70:{2,4,6}:{(59,1),(61,1),(63,1),(73,1),(77,1),(82,1)}
       71:{1,4,6}:{(60,1),(61,1),(64,1),(74,1),(78,1),(83,1)}
       72:{3,5}:{(61,1),(62,1),(77,1),(78,1)}
       73:{2,4,7}:{(65,1),(67,1),(70,1),(79,1)}
       74:{1,4,7}:{(66,1),(67,1),(71,1),(80,1)}
       75:{3,5,7}:{(67,1),(68,1),(72,1),(79,1),(80,1),(81,1)}
       76:{4,6}:{(68,1),(69,1),(81,1)}
       77:{2,5}:{(70,1),(72,1)}
       78:{1,5}:{(71,1),(72,1)}
       79:{2,5,7}:{(73,1),(75,1),(77,1),(82,1)}
       80:{1,5,7}:{(74,1),(75,1),(78,1),(83,1)}
       81:{3,6}:{(75,1),(76,1),(82,1),(83,1)}
       82:{2,6}:{(79,1),(81,1)}
       83:{1,6}:{(80,1),(81,1)}

 448 :   0:{3,4,6,7}:{(2,1),(3,1),(4,1),(21,1),(22,1),(31,1),(57,1),(60,1),(61,1),(63,1),(115,1)}
         1:{2,3,6,7}:{(3,1),(5,1),(6,1),(22,1),(61,1),(113,1),(117,1)}
         2:{1,4,6,7}:{(0,1),(7,1),(10,1),(35,1),(37,1),(51,1),(88,1),(141,1)}
         3:{2,4,6,7}:{(0,1),(1,1),(11,1),(16,1),(38,1),(84,1),(87,1),(142,1)}
         4:{3,5,7}:{(0,1),(8,1),(10,1),(11,1),(12,1),(140,1)}
         5:{1,2,6,7}:{(1,1),(14,1),(15,1),(88,1),(139,1),(143,1),(149,1)}
         6:{2,3,5,7}:{(1,1),(11,1),(13,1),(15,1),(16,1),(40,1),(43,1),(50,1)}
         7:{1,3,6,7}:{(2,1),(17,1),(18,1),(22,1),(60,1),(75,1),(116,1)}
         8:{3,5,6}:{(4,1),(19,1),(20,1),(21,1),(60,1),(61,1)}
         9:{1,2,4,6,7}:{(2,1),(3,1),(5,1),(17,1),(22,1),(23,1),(28,1),(30,1),(54,1),(56,1),(59,1),(63,1),(160,1)}
        10:{1,5,7}:{(2,1),(4,1),(19,1),(158,1)}
        11:{2,5,7}:{(3,1),(4,1),(20,1),(159,1)}
        12:{4,5,7}:{(4,1),(21,1),(63,1),(114,1)}
        13:{2,3,5,6}:{(6,1),(20,1),(26,1),(27,1),(58,1),(61,1),(68,1),(70,1),(117,1),(124,1),(159,1),(172,1)}
        14:{1,3,6,7}:{(5,1),(22,1),(28,1),(29,1),(112,1),(116,1),(128,1)}
        15:{1,2,5,7}:{(5,1),(6,1),(26,1),(29,1),(30,1),(66,1),(129,1)}
        16:{2,4,7}:{(6,1),(27,1),(31,1),(63,1)}
        17:{1,2,6,7}:{(7,1),(33,1),(34,1),(87,1),(103,1),(143,1),(167,1)}
        18:{1,3,5,7}:{(7,1),(10,1),(32,1),(34,1),(35,1),(40,1),(42,1),(83,1)}
        19:{1,5,6}:{(8,1),(10,1),(37,1),(88,1)}
        20:{2,5,6}:{(8,1),(11,1),(38,1),(87,1)}
        21:{4,6}:{(8,1),(12,1)}
        22:{3,6,7}:{(9,1),(40,1),(50,1),(83,1),(86,1),(169,1)}
        23:{1,2,5,7}:{(9,1),(10,1),(11,1),(36,1),(40,1),(48,1),(81,1),(168,1)}
        24:{1,4,5,7}:{(10,1),(12,1),(35,1),(37,1),(42,1),(77,1)}
        25:{2,4,5,7}:{(11,1),(12,1),(16,1),(38,1),(43,1),(44,1)}
        26:{1,2,5,6}:{(13,1),(15,1),(45,1),(46,1),(88,1),(95,1),(143,1),(147,1),(148,1),(149,1),(168,1)}
        27:{2,4,6}:{(13,1),(16,1),(44,1),(47,1),(85,1),(146,1),(174,1)}
        28:{1,4,6,7}:{(14,1),(39,1),(48,1),(49,1),(100,1),(138,1),(141,1),(167,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(40,1),(45,1),(48,1),(49,1),(50,1),(101,1)}
        30:{1,2,4,7}:{(15,1),(16,1),(46,1),(49,1),(50,1),(51,1),(102,1),(103,1)}
        31:{3,4,7}:{(16,1),(43,1),(47,1),(50,1),(51,1)}
        32:{1,3,5,6}:{(18,1),(19,1),(52,1),(53,1),(58,1),(60,1),(105,1),(107,1),(116,1),(151,1),(158,1),(172,1)}
        33:{2,3,6,7}:{(17,1),(22,1),(54,1),(55,1),(76,1),(117,1),(156,1)}
        34:{1,2,5,7}:{(17,1),(18,1),(52,1),(55,1),(56,1),(65,1),(157,1)}
        35:{1,4,7}:{(18,1),(53,1),(57,1),(63,1)}
        36:{1,2,5,6}:{(19,1),(20,1),(23,1),(58,1),(59,1),(72,1),(109,1),(158,1),(159,1)}
        37:{1,4,6}:{(19,1),(21,1),(24,1),(60,1)}
        38:{2,4,6}:{(20,1),(21,1),(25,1),(61,1)}
        39:{3,4,6,7}:{(22,1),(28,1),(54,1),(62,1),(63,1),(74,1),(111,1),(115,1),(118,1),(128,1),(156,1)}
        40:{3,5,7}:{(22,1),(23,1),(58,1),(63,1),(172,1)}
        41:{1,2,4,5,7}:{(23,1),(24,1),(25,1),(30,1),(56,1),(59,1),(63,1),(64,1),(65,1),(66,1),(67,1),(73,1),(104,1),(110,1),(114,1),(119,1),(120,1),(121,1),(129,1),(157,1),(158,1),(159,1)}
        42:{3,5,7}:{(24,1),(57,1),(60,1),(65,1),(105,1)}
        43:{3,5,7}:{(25,1),(31,1),(61,1),(66,1),(68,1)}
        44:{2,4,5}:{(27,1),(68,1),(114,1),(159,1)}
        45:{1,3,5,6}:{(26,1),(29,1),(58,1),(69,1),(70,1),(72,1),(116,1),(123,1),(125,1),(128,1),(158,1),(172,1)}
        46:{1,2,4,6}:{(26,1),(27,1),(30,1),(67,1),(69,1),(70,1),(71,1),(126,1),(127,1),(162,1)}
        47:{3,4,6}:{(27,1),(31,1),(61,1),(68,1),(70,1),(71,1),(122,1)}
        48:{1,5,7}:{(28,1),(62,1),(72,1),(158,1)}
        49:{1,4,7}:{(29,1),(63,1),(69,1),(74,1)}
        50:{3,7}:{(30,1),(70,1)}
        51:{1,4,7}:{(31,1),(66,1),(71,1),(75,1)}
        52:{1,2,5,6}:{(32,1),(34,1),(78,1),(79,1),(87,1),(131,1),(143,1),(165,1),(166,1),(167,1),(168,1)}
        53:{1,4,6}:{(32,1),(35,1),(77,1),(80,1),(85,1),(163,1),(174,1)}
        54:{2,4,6,7}:{(33,1),(39,1),(81,1),(82,1),(102,1),(136,1),(142,1),(149,1)}
        55:{2,3,5,7}:{(33,1),(34,1),(40,1),(78,1),(81,1),(82,1),(83,1),(137,1)}
        56:{1,2,4,7}:{(34,1),(35,1),(79,1),(82,1),(83,1),(84,1),(138,1),(139,1)}
        57:{3,4,7}:{(35,1),(42,1),(80,1),(83,1),(84,1)}
        58:{3,5,6}:{(36,1),(40,1),(85,1),(86,1),(140,1)}
        59:{1,2,4,6}:{(36,1),(37,1),(38,1),(41,1),(85,1),(86,1),(87,1),(88,1),(100,1),(136,1),(141,1),(142,1),(143,1),(149,1),(167,1)}
        60:{3,6}:{(37,1),(42,1),(87,1)}
        61:{3,6}:{(38,1),(43,1),(88,1)}
        62:{3,5,7}:{(39,1),(48,1),(81,1),(89,1),(90,1),(140,1)}
        63:{4,7}:{(40,1),(85,1),(174,1)}
        64:{3,5,7}:{(41,1),(50,1),(83,1),(86,1),(91,1),(94,1),(130,1),(140,1)}
        65:{2,5,7}:{(42,1),(84,1),(87,1),(131,1)}
        66:{1,5,7}:{(43,1),(51,1),(88,1),(95,1)}
        67:{1,2,4,5}:{(44,1),(46,1),(94,1),(95,1),(96,1),(145,1),(146,1),(147,1),(148,1),(168,1),(174,1)}
        68:{3,5}:{(44,1),(47,1),(95,1)}
        69:{1,4,6}:{(45,1),(49,1),(85,1),(96,1),(97,1),(145,1),(174,1)}
        70:{3,6}:{(46,1),(50,1),(94,1),(170,1)}
        71:{1,4,6}:{(47,1),(51,1),(88,1),(95,1),(98,1),(145,1)}
        72:{1,5,6}:{(48,1),(89,1),(100,1),(167,1)}
        73:{1,4,5,7}:{(48,1),(49,1),(90,1),(96,1),(100,1),(101,1)}
        74:{3,4,7}:{(49,1),(50,1),(97,1),(101,1),(102,1)}
        75:{1,3,7}:{(50,1),(51,1),(98,1),(103,1)}
        76:{2,3,7}:{(50,1),(99,1),(102,1),(103,1)}
        77:{1,4,5}:{(53,1),(105,1),(114,1),(158,1)}
        78:{2,3,5,6}:{(52,1),(55,1),(58,1),(106,1),(107,1),(109,1),(117,1),(152,1),(153,1),(156,1),(159,1),(172,1)}
        79:{1,2,4,6}:{(52,1),(53,1),(56,1),(104,1),(106,1),(107,1),(108,1),(154,1),(155,1),(171,1)}
        80:{3,4,6}:{(53,1),(57,1),(60,1),(105,1),(107,1),(108,1),(150,1)}
        81:{2,5,7}:{(54,1),(62,1),(109,1),(159,1)}
        82:{2,4,7}:{(55,1),(63,1),(106,1),(111,1)}
        83:{3,7}:{(56,1),(107,1)}
        84:{2,4,7}:{(57,1),(65,1),(108,1),(113,1)}
        85:{4,6}:{(58,1),(63,1),(114,1)}
        86:{3,6}:{(59,1),(64,1)}
        87:{2,6}:{(60,1),(65,1)}
        88:{1,6}:{(61,1),(66,1)}
        89:{3,5,6}:{(62,1),(72,1),(109,1),(118,1),(128,1),(156,1)}
        90:{4,5,7}:{(62,1),(63,1),(114,1),(118,1)}
        91:{3,4,7}:{(63,1),(64,1),(115,1),(119,1),(120,1),(122,1),(150,1),(161,1)}
        92:{1,3,5,7}:{(64,1),(66,1),(75,1),(112,1),(116,1),(119,1),(121,1),(123,1),(151,1),(157,1),(158,1),(161,1),(172,1)}
        93:{2,3,5,7}:{(64,1),(65,1),(76,1),(113,1),(117,1),(120,1),(121,1),(124,1),(129,1),(152,1),(159,1),(161,1),(172,1)}
        94:{3,5}:{(67,1),(70,1),(122,1)}
        95:{1,5}:{(68,1),(71,1)}
        96:{1,4,5}:{(69,1),(114,1),(125,1),(158,1)}
        97:{3,4,6}:{(69,1),(70,1),(74,1),(122,1),(125,1),(126,1),(128,1)}
        98:{1,3,6}:{(70,1),(71,1),(75,1),(123,1),(127,1)}
        99:{2,3,6}:{(70,1),(76,1),(124,1),(126,1),(127,1)}
       100:{1,4,6}:{(72,1),(73,1),(118,1),(128,1)}
       101:{3,5,7}:{(73,1),(74,1),(125,1),(128,1),(129,1)}
       102:{2,4,7}:{(74,1),(76,1),(126,1),(129,1)}
       103:{1,2,7}:{(75,1),(76,1),(127,1)}
       104:{1,2,4,5}:{(77,1),(79,1),(130,1),(131,1),(132,1),(163,1),(164,1),(165,1),(166,1),(168,1),(174,1)}
       105:{3,5}:{(77,1),(80,1),(131,1)}
       106:{2,4,6}:{(78,1),(82,1),(85,1),(132,1),(133,1),(164,1),(174,1)}
       107:{3,6}:{(79,1),(83,1),(130,1),(173,1)}
       108:{2,4,6}:{(80,1),(84,1),(87,1),(131,1),(135,1),(164,1)}
       109:{2,5,6}:{(81,1),(89,1),(136,1),(149,1)}
       110:{2,4,5,7}:{(81,1),(82,1),(90,1),(132,1),(136,1),(137,1)}
       111:{3,4,7}:{(82,1),(83,1),(133,1),(137,1),(138,1)}
       112:{1,3,7}:{(83,1),(134,1),(138,1),(139,1)}
       113:{2,3,7}:{(83,1),(84,1),(135,1),(139,1)}
       114:{4,5}:{(85,1),(140,1),(174,1)}
       115:{3,4,6}:{(85,1),(86,1),(91,1),(140,1),(141,1),(142,1),(169,1),(174,1)}
       116:{1,3,6}:{(86,1),(88,1),(92,1),(141,1),(143,1),(167,1),(169,1)}
       117:{2,3,6}:{(86,1),(87,1),(93,1),(142,1),(143,1),(149,1),(169,1)}
       118:{4,6}:{(89,1),(90,1)}
       119:{1,4,7}:{(91,1),(92,1),(141,1),(145,1),(163,1),(174,1)}
       120:{2,4,7}:{(91,1),(93,1),(142,1),(146,1),(164,1),(174,1)}
       121:{1,2,5,7}:{(92,1),(93,1),(103,1),(139,1),(143,1),(144,1),(147,1),(165,1),(168,1)}
       122:{3,4}:{(94,1),(145,1),(146,1),(170,1),(174,1)}
       123:{1,3,5}:{(94,1),(95,1),(98,1),(145,1),(147,1),(170,1)}
       124:{2,3,5}:{(94,1),(99,1),(146,1),(147,1),(148,1),(170,1)}
       125:{3,5}:{(96,1),(97,1),(148,1)}
       126:{2,4,6}:{(97,1),(99,1),(102,1),(146,1),(148,1),(149,1)}
       127:{1,2,6}:{(98,1),(99,1),(103,1),(147,1)}
       128:{3,6}:{(100,1),(101,1),(149,1)}
       129:{2,5,7}:{(101,1),(102,1),(148,1),(149,1)}
       130:{3,5}:{(104,1),(107,1),(150,1)}
       131:{2,5}:{(105,1),(108,1)}
       132:{2,4,5}:{(106,1),(114,1),(153,1),(159,1)}
       133:{3,4,6}:{(106,1),(107,1),(111,1),(150,1),(153,1),(154,1),(156,1)}
       134:{1,3,6}:{(107,1),(112,1),(151,1),(154,1),(155,1)}
       135:{2,3,6}:{(107,1),(108,1),(113,1),(152,1),(155,1)}
       136:{2,4,6}:{(109,1),(110,1),(118,1),(156,1)}
       137:{3,5,7}:{(110,1),(111,1),(153,1),(156,1),(157,1)}
       138:{1,4,7}:{(111,1),(112,1),(154,1),(157,1)}
       139:{1,2,7}:{(112,1),(113,1),(155,1)}
       140:{3,5}:{(114,1),(115,1),(158,1),(159,1)}
       141:{1,4,6}:{(115,1),(116,1),(119,1),(158,1)}
       142:{2,4,6}:{(115,1),(117,1),(120,1),(159,1)}
       143:{1,2,6}:{(116,1),(117,1),(121,1)}
       144:{1,2,4,7}:{(119,1),(120,1),(121,1),(160,1),(161,1),(162,1),(171,1)}
       145:{1,4}:{(122,1),(123,1)}
       146:{2,4}:{(122,1),(124,1)}
       147:{1,2,5}:{(123,1),(124,1),(127,1),(162,1)}
       148:{2,5}:{(125,1),(126,1)}
       149:{2,6}:{(128,1),(129,1)}
       150:{3,4}:{(130,1),(163,1),(164,1),(173,1),(174,1)}
       151:{1,3,5}:{(130,1),(134,1),(163,1),(165,1),(166,1),(173,1)}
       152:{2,3,5}:{(130,1),(131,1),(135,1),(164,1),(165,1),(173,1)}
       153:{3,5}:{(132,1),(133,1),(166,1)}
       154:{1,4,6}:{(133,1),(134,1),(138,1),(163,1),(166,1),(167,1)}
       155:{1,2,6}:{(134,1),(135,1),(139,1),(165,1)}
       156:{3,6}:{(136,1),(137,1),(167,1)}
       157:{1,5,7}:{(137,1),(138,1),(166,1),(167,1)}
       158:{1,5}:{(140,1),(141,1)}
       159:{2,5}:{(140,1),(142,1)}
       160:{1,2,4,6}:{(141,1),(142,1),(143,1),(144,1),(168,1),(169,1),(174,1)}
       161:{3,7}:{(144,1),(169,1),(170,1),(173,1)}
       162:{1,2,4}:{(145,1),(146,1),(147,1),(170,1)}
       163:{1,4}:{(150,1),(151,1)}
       164:{2,4}:{(150,1),(152,1)}
       165:{1,2,5}:{(151,1),(152,1),(155,1),(171,1)}
       166:{1,5}:{(153,1),(154,1)}
       167:{1,6}:{(156,1),(157,1)}
       168:{1,2,5}:{(158,1),(159,1),(160,1),(172,1)}
       169:{3,6}:{(160,1),(161,1),(172,1)}
       170:{3}:{(162,1)}
       171:{1,2,4}:{(163,1),(164,1),(165,1),(173,1)}
       172:{3,5}:{(168,1),(169,1),(174,1)}
       173:{3}:{(171,1)}
       174:{4}:{(172,1)}

 449 :   0:{1,4,6,7}:{(1,1),(2,1),(9,1),(10,1)}
         1:{3,6,7}:{(0,1),(3,1),(4,1),(16,1)}
         2:{1,5,7}:{(0,1),(4,1),(5,1),(30,1)}
         3:{2,6,7}:{(1,1),(7,1),(26,1)}
         4:{3,5,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(20,1)}
         5:{1,5,6}:{(2,1),(8,1),(10,1),(39,1),(42,1)}
         6:{1,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(21,1),(23,1),(42,1)}
         7:{2,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{3,5,6}:{(4,1),(5,1),(12,1),(14,1),(16,1),(29,1),(32,1)}
         9:{4,7}:{(4,1),(14,1)}
        10:{1,4,6}:{(5,1),(6,1),(14,1),(16,1)}
        11:{3,5,7}:{(6,1),(15,1),(16,1),(18,1),(32,1)}
        12:{2,5,6}:{(7,1),(8,1),(19,1),(26,1),(43,1)}
        13:{2,4,7}:{(7,1),(9,1),(19,1),(20,1)}
        14:{4,6}:{(8,1),(9,1),(21,1)}
        15:{3,4,7}:{(9,1),(11,1),(20,1),(22,1),(23,1),(24,1),(45,1)}
        16:{3,6}:{(10,1),(11,1),(26,1)}
        17:{1,3,5,7}:{(11,1),(23,1),(25,1),(27,1),(42,1),(45,1),(63,1)}
        18:{2,5,7}:{(11,1),(24,1),(26,1),(43,1)}
        19:{2,4,6}:{(12,1),(13,1),(14,1),(28,1),(29,1)}
        20:{3,7}:{(13,1),(29,1),(30,1)}
        21:{4,5}:{(14,1),(32,1),(73,1)}
        22:{3,4,6}:{(14,1),(15,1),(16,1),(29,1),(32,1),(33,1),(34,1),(48,1),(54,1),(73,1)}
        23:{1,4,7}:{(15,1),(17,1),(30,1),(33,1),(73,1)}
        24:{2,4,7}:{(15,1),(18,1),(31,1),(34,1)}
        25:{1,3,6}:{(16,1),(17,1),(33,1),(36,1),(54,1),(68,1)}
        26:{2,6}:{(16,1),(18,1)}
        27:{1,2,5,7}:{(17,1),(18,1),(35,1),(36,1),(37,1),(53,1),(72,1)}
        28:{2,4,5}:{(19,1),(21,1),(38,1),(43,1),(59,1)}
        29:{3,6}:{(19,1),(20,1),(38,1),(39,1)}
        30:{1,7}:{(20,1),(39,1)}
        31:{2,3,7}:{(20,1),(24,1),(40,1),(41,1),(45,1)}
        32:{3,5}:{(21,1),(22,1),(42,1),(43,1)}
        33:{1,4,6}:{(22,1),(23,1),(25,1),(39,1),(42,1),(58,1)}
        34:{2,4,6}:{(22,1),(24,1),(26,1),(40,1),(43,1),(59,1)}
        35:{1,2,4,7}:{(23,1),(24,1),(27,1),(41,1),(44,1),(45,1),(47,1),(62,1)}
        36:{1,2,6}:{(25,1),(26,1),(27,1),(46,1),(78,1),(82,1)}
        37:{2,3,5,7}:{(27,1),(45,1),(46,1),(47,1),(63,1),(65,1),(66,1)}
        38:{3,5}:{(28,1),(29,1),(48,1),(49,1)}
        39:{1,6}:{(29,1),(30,1),(49,1)}
        40:{2,3,6}:{(29,1),(31,1),(34,1),(50,1),(51,1),(54,1)}
        41:{1,2,7}:{(30,1),(31,1),(51,1),(52,1),(104,1)}
        42:{1,5}:{(32,1),(33,1)}
        43:{2,5}:{(32,1),(34,1)}
        44:{1,2,4,6}:{(33,1),(34,1),(35,1),(36,1),(51,1),(53,1),(54,1),(56,1),(69,1),(71,1),(73,1)}
        45:{3,7}:{(35,1),(54,1)}
        46:{2,3,6}:{(36,1),(37,1),(54,1),(56,1),(75,1),(87,1)}
        47:{2,4,7}:{(37,1),(55,1),(56,1),(73,1),(104,1)}
        48:{3,4}:{(38,1),(58,1),(59,1),(79,1)}
        49:{1,5}:{(38,1),(39,1),(58,1)}
        50:{2,3,5}:{(38,1),(40,1),(43,1),(59,1),(60,1),(63,1),(79,1)}
        51:{1,2,6}:{(39,1),(40,1),(41,1),(60,1),(61,1),(102,1)}
        52:{1,3,7}:{(41,1),(45,1),(61,1),(62,1),(103,1)}
        53:{1,2,5}:{(42,1),(43,1),(44,1),(63,1),(66,1),(81,1)}
        54:{3,6}:{(44,1),(45,1),(63,1),(79,1)}
        55:{3,4,7}:{(45,1),(47,1),(62,1),(64,1),(65,1),(98,1),(103,1)}
        56:{2,4,6}:{(46,1),(47,1),(64,1),(66,1),(94,1),(102,1)}
        57:{2,4,5,7}:{(47,1),(65,1),(66,1),(67,1),(83,1),(86,1),(98,1)}
        58:{1,4}:{(48,1),(49,1),(68,1)}
        59:{2,4}:{(48,1),(50,1),(73,1)}
        60:{1,2,5}:{(49,1),(50,1),(51,1),(69,1),(70,1),(99,1)}
        61:{1,3,6}:{(51,1),(52,1),(54,1),(70,1),(71,1),(100,1)}
        62:{1,4,7}:{(52,1),(55,1),(71,1),(72,1)}
        63:{3,5}:{(53,1),(54,1),(73,1)}
        64:{3,4,6}:{(54,1),(55,1),(56,1),(71,1),(73,1),(74,1),(75,1),(88,1),(92,1),(100,1)}
        65:{3,5,7}:{(55,1),(57,1),(72,1),(74,1),(75,1)}
        66:{2,5}:{(56,1),(74,1)}
        67:{2,4,6}:{(57,1),(75,1),(76,1),(92,1)}
        68:{1,3}:{(58,1),(78,1),(79,1)}
        69:{1,2,4}:{(58,1),(59,1),(60,1),(78,1),(79,1),(80,1),(94,1)}
        70:{1,3,5}:{(60,1),(61,1),(63,1),(79,1),(80,1),(81,1),(95,1)}
        71:{1,4,6}:{(61,1),(62,1),(64,1),(80,1),(81,1),(82,1)}
        72:{1,5,7}:{(62,1),(65,1),(81,1),(82,1)}
        73:{4}:{(63,1)}
        74:{3,5}:{(64,1),(66,1),(81,1),(83,1)}
        75:{3,6}:{(65,1),(67,1),(82,1)}
        76:{2,5,6}:{(66,1),(67,1),(84,1),(86,1),(102,1)}
        77:{2,4,6,7}:{(67,1),(85,1),(86,1),(98,1)}
        78:{1,2}:{(68,1),(87,1)}
        79:{3}:{(69,1)}
        80:{1,4}:{(70,1),(73,1),(88,1)}
        81:{1,5}:{(71,1),(74,1)}
        82:{1,6}:{(72,1),(75,1)}
        83:{4,5}:{(73,1),(74,1),(92,1)}
        84:{3,5,6}:{(74,1),(75,1),(76,1),(90,1),(92,1),(93,1),(100,1)}
        85:{3,6,7}:{(75,1),(77,1),(91,1),(93,1)}
        86:{2,5,7}:{(76,1),(77,1),(93,1),(104,1)}
        87:{2,3}:{(78,1),(79,1),(94,1)}
        88:{3,4}:{(79,1),(80,1),(94,1),(95,1)}
        89:{1,4,5}:{(80,1),(81,1),(83,1),(95,1),(96,1)}
        90:{1,5,6}:{(81,1),(82,1),(84,1),(96,1),(97,1)}
        91:{1,6,7}:{(82,1),(85,1),(97,1)}
        92:{4,6}:{(83,1),(84,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(86,1),(97,1),(98,1),(103,1)}
        94:{2,4}:{(87,1),(88,1),(99,1)}
        95:{3,5}:{(88,1),(89,1),(99,1),(100,1)}
        96:{1,4,6}:{(89,1),(90,1),(92,1),(100,1),(101,1)}
        97:{1,5,7}:{(90,1),(91,1),(93,1),(101,1)}
        98:{4,7}:{(92,1),(93,1)}
        99:{2,5}:{(94,1),(95,1),(102,1)}
       100:{3,6}:{(95,1),(96,1),(102,1),(103,1)}
       101:{1,4,7}:{(96,1),(97,1),(98,1),(103,1)}
       102:{2,6}:{(99,1),(100,1),(104,1)}
       103:{3,7}:{(100,1),(101,1),(104,1)}
       104:{2,7}:{(102,1),(103,1)}

 450 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(22,1),(42,1),(51,1),(87,1),(102,1)}
         1:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(32,1),(36,1),(77,1)}
         2:{2,3,5}:{(0,1),(7,1),(9,1),(34,1),(110,1),(127,1)}
         3:{2,3,4,7}:{(0,1),(8,1),(10,1),(27,1),(67,1),(76,1),(113,1),(206,1)}
         4:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(14,1),(22,1),(42,1),(60,1),(107,1)}
         5:{2,4,5,6}:{(12,1),(14,1),(15,1),(60,1),(109,1)}
         6:{1,3,6}:{(1,1),(16,1),(17,1),(42,1)}
         7:{1,2,5}:{(1,1),(2,1),(16,1),(103,1)}
         8:{1,2,4,7}:{(1,1),(3,1),(17,1),(19,1),(52,1),(208,1)}
         9:{2,4,5}:{(2,1),(12,1),(20,1),(148,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(19,1),(21,1),(22,1),(56,1),(133,1),(198,1),(201,1)}
        11:{1,2,5,6}:{(4,1),(7,1),(23,1),(24,1),(25,1),(29,1),(36,1),(110,1),(153,1)}
        12:{2,4,6}:{(4,1),(9,1),(26,1),(27,1),(131,1)}
        13:{2,3,5,7}:{(4,1),(25,1),(27,1),(28,1),(30,1),(67,1),(71,1),(119,1)}
        14:{3,5,6}:{(5,1),(26,1),(29,1),(30,1)}
        15:{2,4,5,7}:{(5,1),(27,1),(30,1),(31,1),(71,1),(121,1)}
        16:{1,3,5}:{(6,1),(7,1),(32,1),(34,1)}
        17:{1,3,7}:{(6,1),(8,1),(67,1),(209,1)}
        18:{1,2,4,5}:{(7,1),(9,1),(24,1),(32,1),(34,1),(37,1),(61,1),(75,1),(78,1),(110,1)}
        19:{1,2,5,7}:{(7,1),(8,1),(10,1),(33,1),(36,1),(204,1),(207,1)}
        20:{3,4,5}:{(9,1),(26,1),(34,1),(37,1)}
        21:{2,4,5,7}:{(9,1),(10,1),(27,1),(38,1),(39,1),(71,1),(187,1),(191,1)}
        22:{2,3,6}:{(10,1),(36,1),(39,1),(81,1),(153,1)}
        23:{1,3,5,6}:{(11,1),(16,1),(40,1),(41,1),(42,1),(53,1),(85,1),(103,1),(107,1),(134,1),(135,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(18,1),(40,1),(42,1),(43,1),(45,1),(87,1),(90,1)}
        25:{1,2,5,7}:{(11,1),(13,1),(41,1),(43,1),(44,1),(48,1),(133,1)}
        26:{3,4,6}:{(12,1),(14,1),(20,1),(42,1),(45,1),(46,1)}
        27:{2,4,7}:{(12,1),(13,1),(46,1),(141,1)}
        28:{2,3,6,7}:{(13,1),(22,1),(44,1),(47,1),(49,1),(93,1),(198,1)}
        29:{1,5,6}:{(14,1),(45,1),(48,1)}
        30:{3,5,7}:{(14,1),(15,1),(46,1),(48,1),(49,1)}
        31:{2,4,6,7}:{(15,1),(49,1),(50,1),(98,1)}
        32:{1,4}:{(16,1),(51,1)}
        33:{1,3,5,7}:{(16,1),(17,1),(19,1),(52,1),(53,1),(56,1),(103,1),(196,1),(197,1),(200,1)}
        34:{3,5}:{(18,1),(42,1),(51,1)}
        35:{1,2,4,5,7}:{(18,1),(19,1),(21,1),(43,1),(52,1),(56,1),(57,1),(58,1),(86,1),(94,1),(101,1),(103,1),(104,1),(133,1),(141,1),(147,1),(148,1),(172,1),(173,1),(178,1),(196,1)}
        36:{1,2,6}:{(19,1),(22,1),(53,1)}
        37:{1,4,5}:{(20,1),(45,1),(54,1)}
        38:{3,4,5,7}:{(20,1),(21,1),(46,1),(56,1),(58,1),(59,1),(96,1),(141,1),(148,1),(174,1),(179,1)}
        39:{2,4,6}:{(21,1),(22,1),(59,1),(60,1)}
        40:{1,4,6}:{(23,1),(32,1),(61,1),(62,1),(63,1),(131,1)}
        41:{1,3,5,7}:{(23,1),(25,1),(63,1),(64,1),(67,1),(111,1),(115,1),(119,1)}
        42:{3,6}:{(24,1),(34,1),(67,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(27,1),(63,1),(67,1),(69,1),(113,1),(116,1)}
        44:{1,2,6,7}:{(25,1),(28,1),(36,1),(64,1),(72,1),(153,1),(204,1)}
        45:{1,4,6}:{(26,1),(29,1),(37,1),(65,1),(69,1)}
        46:{3,4,7}:{(26,1),(27,1),(30,1),(67,1),(69,1)}
        47:{2,4,6,7}:{(27,1),(28,1),(39,1),(70,1),(71,1),(161,1),(187,1)}
        48:{1,5,7}:{(29,1),(30,1),(69,1),(72,1)}
        49:{3,6,7}:{(30,1),(31,1),(72,1)}
        50:{2,5,6,7}:{(31,1),(71,1),(73,1),(161,1)}
        51:{3,4}:{(32,1),(34,1),(75,1)}
        52:{1,4,7}:{(32,1),(33,1),(76,1),(77,1),(205,1)}
        53:{1,3,6}:{(33,1),(36,1),(77,1),(81,1),(203,1)}
        54:{1,3,5}:{(34,1),(37,1),(65,1),(74,1),(78,1)}
        55:{2,3,5}:{(34,1),(66,1),(75,1),(78,1),(110,1),(123,1)}
        56:{3,5,7}:{(34,1),(35,1),(67,1),(76,1),(81,1),(127,1),(186,1),(190,1)}
        57:{1,2,4,6}:{(35,1),(36,1),(39,1),(77,1),(81,1),(82,1),(83,1),(112,1),(126,1),(128,1),(131,1),(153,1),(184,1),(203,1)}
        58:{1,4,5,7}:{(37,1),(38,1),(69,1),(79,1),(83,1),(120,1),(158,1),(164,1)}
        59:{3,4,6}:{(38,1),(39,1),(81,1),(83,1),(84,1),(131,1)}
        60:{2,5,6}:{(39,1),(71,1),(84,1)}
        61:{1,4,5}:{(40,1),(85,1),(103,1),(148,1)}
        62:{3,4,6}:{(40,1),(42,1),(51,1),(85,1),(87,1),(88,1),(134,1)}
        63:{1,4,7}:{(40,1),(41,1),(88,1),(141,1)}
        64:{1,3,6,7}:{(41,1),(44,1),(53,1),(89,1),(93,1),(134,1),(197,1)}
        65:{1,3,6}:{(42,1),(45,1),(54,1),(90,1),(91,1)}
        66:{2,3,6}:{(42,1),(55,1),(87,1),(90,1),(92,1)}
        67:{3,7}:{(42,1),(43,1)}
        68:{1,2,4,6,7}:{(43,1),(44,1),(47,1),(57,1),(89,1),(93,1),(94,1),(95,1),(136,1),(138,1),(141,1),(173,1)}
        69:{1,4,7}:{(45,1),(46,1),(48,1),(91,1)}
        70:{3,4,6,7}:{(46,1),(47,1),(49,1),(59,1),(93,1),(95,1),(96,1),(98,1),(141,1),(143,1),(174,1)}
        71:{2,5,7}:{(47,1),(60,1),(96,1)}
        72:{1,6,7}:{(48,1),(49,1)}
        73:{3,5,6,7}:{(49,1),(50,1),(96,1),(97,1),(98,1),(143,1)}
        74:{1,3,4}:{(51,1),(54,1),(99,1)}
        75:{2,4}:{(51,1),(55,1)}
        76:{3,4,7}:{(51,1),(52,1),(56,1),(101,1),(102,1),(141,1),(199,1)}
        77:{1,4,6}:{(52,1),(53,1),(102,1),(103,1)}
        78:{1,2,5}:{(54,1),(55,1),(90,1),(99,1)}
        79:{1,3,5,7}:{(54,1),(56,1),(58,1),(91,1),(100,1),(104,1),(105,1),(146,1),(196,1)}
        80:{2,3,5,7}:{(55,1),(56,1),(92,1),(101,1),(104,1),(106,1),(133,1),(144,1),(147,1),(177,1)}
        81:{3,6}:{(56,1),(57,1)}
        82:{1,2,5,6}:{(57,1),(60,1),(94,1),(103,1),(107,1),(108,1),(135,1),(147,1),(170,1)}
        83:{1,4,6}:{(58,1),(59,1),(105,1),(108,1)}
        84:{3,5,6}:{(59,1),(60,1),(96,1),(108,1),(109,1)}
        85:{3,5}:{(61,1),(62,1),(110,1)}
        86:{1,4,5,7}:{(61,1),(63,1),(111,1),(112,1),(115,1),(156,1)}
        87:{2,4,6}:{(62,1),(66,1),(75,1),(110,1),(113,1),(153,1)}
        88:{3,4,7}:{(62,1),(63,1),(67,1),(111,1),(113,1)}
        89:{1,4,6,7}:{(63,1),(64,1),(77,1),(112,1),(114,1),(115,1),(188,1),(203,1)}
        90:{1,2,6}:{(65,1),(66,1),(78,1),(116,1)}
        91:{1,3,7}:{(65,1),(67,1),(69,1),(116,1)}
        92:{2,3,7}:{(66,1),(67,1),(113,1),(116,1)}
        93:{3,6,7}:{(67,1),(68,1),(81,1),(119,1),(186,1)}
        94:{1,2,5,7}:{(68,1),(71,1),(82,1),(115,1),(119,1),(120,1),(155,1)}
        95:{1,4,6,7}:{(69,1),(70,1),(72,1),(83,1),(117,1),(120,1),(158,1)}
        96:{3,5,7}:{(70,1),(71,1),(84,1),(120,1),(121,1)}
        97:{1,5,6,7}:{(72,1),(73,1),(120,1),(122,1)}
        98:{4,6,7}:{(73,1),(121,1)}
        99:{1,2,4}:{(74,1),(75,1),(78,1),(123,1)}
       100:{1,3,4,7}:{(74,1),(76,1),(79,1),(124,1),(125,1),(158,1),(186,1),(188,1)}
       101:{2,4,7}:{(75,1),(76,1),(80,1),(126,1),(189,1)}
       102:{3,4,6}:{(76,1),(77,1),(81,1),(126,1),(127,1),(131,1)}
       103:{1,5}:{(77,1),(127,1)}
       104:{1,2,5,7}:{(78,1),(79,1),(80,1),(116,1),(124,1),(128,1),(163,1)}
       105:{1,3,6}:{(79,1),(81,1),(83,1),(128,1),(203,1)}
       106:{2,3,6}:{(80,1),(81,1),(126,1),(128,1),(153,1)}
       107:{3,5,6}:{(81,1),(82,1),(119,1),(127,1),(131,1)}
       108:{1,5,6}:{(83,1),(84,1),(120,1)}
       109:{4,5,6}:{(84,1),(121,1),(131,1)}
       110:{2,5}:{(85,1),(87,1)}
       111:{3,5,7}:{(85,1),(86,1),(88,1),(133,1),(134,1)}
       112:{1,4,6}:{(86,1),(134,1),(135,1),(171,1)}
       113:{2,4,7}:{(87,1),(88,1),(92,1),(133,1)}
       114:{3,4,6,7}:{(88,1),(89,1),(93,1),(102,1),(134,1),(136,1),(137,1),(141,1),(171,1),(175,1),(195,1)}
       115:{1,5,7}:{(89,1),(103,1),(135,1),(137,1)}
       116:{1,2,7}:{(90,1),(91,1),(92,1)}
       117:{1,3,6,7}:{(91,1),(93,1),(95,1),(105,1),(138,1),(139,1),(143,1)}
       118:{2,3,6,7}:{(92,1),(93,1),(106,1),(136,1),(138,1),(140,1),(195,1)}
       119:{3,5,7}:{(93,1),(94,1),(107,1),(141,1)}
       120:{1,5,7}:{(95,1),(96,1),(108,1)}
       121:{4,5,7}:{(96,1),(98,1),(109,1),(141,1)}
       122:{1,4,6,7}:{(97,1),(98,1),(142,1),(143,1)}
       123:{2,3}:{(99,1)}
       124:{1,2,4,7}:{(99,1),(100,1),(101,1),(104,1),(144,1),(145,1)}
       125:{1,3,4,6}:{(100,1),(102,1),(105,1),(145,1),(146,1),(150,1),(181,1),(183,1),(199,1)}
       126:{2,4,6}:{(101,1),(102,1),(106,1),(147,1)}
       127:{3,5}:{(102,1),(103,1),(147,1),(148,1)}
       128:{1,2,6}:{(104,1),(105,1),(106,1)}
       129:{1,3,5,6}:{(105,1),(107,1),(108,1),(139,1),(146,1),(149,1),(150,1),(152,1),(181,1)}
       130:{2,3,5,6}:{(106,1),(107,1),(140,1),(147,1),(149,1),(151,1),(170,1),(177,1),(180,1),(181,1),(195,1)}
       131:{4,6}:{(107,1),(141,1),(148,1)}
       132:{1,4,5,6}:{(108,1),(109,1),(142,1),(150,1),(152,1)}
       133:{2,5,7}:{(110,1),(111,1),(113,1),(153,1)}
       134:{3,6}:{(111,1),(112,1),(153,1)}
       135:{1,5,6}:{(112,1),(115,1),(154,1),(203,1)}
       136:{2,4,6,7}:{(113,1),(114,1),(118,1),(126,1),(153,1),(155,1),(159,1),(184,1)}
       137:{3,5,7}:{(114,1),(115,1),(127,1),(154,1),(155,1),(156,1)}
       138:{1,2,6,7}:{(116,1),(117,1),(118,1),(128,1),(157,1),(161,1),(203,1)}
       139:{1,3,5,7}:{(117,1),(119,1),(120,1),(129,1),(157,1),(158,1),(160,1),(186,1)}
       140:{2,3,5,7}:{(118,1),(119,1),(130,1),(155,1),(157,1),(159,1),(185,1),(186,1)}
       141:{4,7}:{(119,1),(131,1)}
       142:{1,4,5,7}:{(120,1),(121,1),(122,1),(132,1),(158,1),(160,1)}
       143:{3,6,7}:{(122,1),(160,1),(161,1)}
       144:{2,3,7}:{(123,1),(124,1),(162,1),(186,1)}
       145:{1,2,4,6}:{(124,1),(125,1),(126,1),(128,1),(162,1),(163,1),(189,1)}
       146:{1,3,5}:{(125,1),(127,1),(163,1),(164,1),(190,1),(192,1)}
       147:{2,5}:{(126,1),(127,1)}
       148:{4,5}:{(127,1),(131,1)}
       149:{1,2,5,6}:{(128,1),(129,1),(130,1),(157,1),(163,1),(166,1),(169,1),(192,1),(203,1)}
       150:{1,4,6}:{(129,1),(131,1),(158,1),(164,1),(167,1)}
       151:{2,4,6}:{(130,1),(131,1),(159,1),(165,1),(168,1),(189,1)}
       152:{3,5,6}:{(132,1),(160,1),(167,1),(169,1)}
       153:{2,6}:{(133,1),(134,1)}
       154:{3,5,6}:{(134,1),(135,1),(137,1),(170,1),(171,1),(195,1)}
       155:{2,5,7}:{(136,1),(137,1),(147,1),(170,1)}
       156:{4,5,7}:{(137,1),(141,1),(148,1),(171,1)}
       157:{1,2,5,7}:{(138,1),(139,1),(140,1),(149,1),(173,1),(176,1),(196,1)}
       158:{1,4,7}:{(139,1),(141,1),(150,1),(174,1)}
       159:{2,4,7}:{(140,1),(141,1),(151,1),(175,1)}
       160:{3,5,7}:{(142,1),(143,1),(152,1),(174,1),(176,1)}
       161:{2,6,7}:{(143,1),(176,1)}
       162:{2,3,6}:{(144,1),(145,1),(177,1),(181,1)}
       163:{1,2,5}:{(145,1),(146,1),(147,1),(177,1)}
       164:{1,4,5}:{(146,1),(148,1),(150,1),(179,1)}
       165:{2,4,5}:{(147,1),(148,1),(151,1),(180,1)}
       166:{1,2,4,6}:{(149,1),(150,1),(151,1),(173,1),(178,1),(181,1),(182,1),(183,1),(202,1)}
       167:{3,4,6}:{(150,1),(152,1),(174,1),(179,1),(181,1),(182,1)}
       168:{3,4,6}:{(151,1),(175,1),(180,1),(181,1),(183,1),(195,1),(199,1)}
       169:{2,5,6}:{(152,1),(176,1),(182,1)}
       170:{2,5,6}:{(153,1),(154,1),(155,1),(184,1)}
       171:{4,6}:{(154,1),(156,1)}
       172:{2,4,5,7}:{(155,1),(156,1),(159,1),(165,1),(184,1),(185,1)}
       173:{1,2,4,7}:{(157,1),(158,1),(159,1),(166,1),(186,1),(187,1),(188,1),(204,1)}
       174:{3,4,7}:{(158,1),(160,1),(167,1),(186,1),(187,1)}
       175:{3,4,7}:{(159,1),(168,1),(185,1),(186,1),(188,1)}
       176:{2,5,7}:{(160,1),(161,1),(169,1),(187,1)}
       177:{2,3,5}:{(162,1),(163,1),(189,1),(190,1)}
       178:{1,2,4,5}:{(163,1),(164,1),(165,1),(166,1),(189,1),(190,1),(191,1),(192,1),(205,1),(207,1)}
       179:{3,4,5}:{(164,1),(167,1),(190,1),(191,1)}
       180:{3,5}:{(165,1),(168,1),(192,1)}
       181:{3,6}:{(166,1),(186,1),(190,1)}
       182:{2,4,6}:{(167,1),(169,1),(187,1),(191,1),(194,1)}
       183:{1,4,6}:{(168,1),(188,1),(192,1),(193,1),(203,1),(205,1)}
       184:{2,4,6}:{(170,1),(171,1),(172,1),(195,1)}
       185:{3,5,7}:{(172,1),(175,1),(180,1),(195,1),(196,1)}
       186:{3,7}:{(173,1),(181,1)}
       187:{2,4,7}:{(174,1),(176,1),(182,1),(198,1)}
       188:{1,4,7}:{(175,1),(183,1),(196,1),(197,1)}
       189:{2,4}:{(177,1),(199,1)}
       190:{3,5}:{(178,1),(181,1),(199,1)}
       191:{2,4,5}:{(179,1),(182,1),(201,1)}
       192:{1,5}:{(180,1),(183,1)}
       193:{1,3,6}:{(181,1),(183,1),(197,1),(200,1),(202,1)}
       194:{2,3,6}:{(181,1),(182,1),(198,1),(201,1),(202,1)}
       195:{3,6}:{(184,1),(185,1),(203,1)}
       196:{1,5,7}:{(185,1),(188,1),(192,1),(203,1)}
       197:{1,3,7}:{(186,1),(188,1),(193,1),(204,1)}
       198:{2,3,7}:{(186,1),(187,1),(194,1),(204,1)}
       199:{3,4}:{(189,1),(190,1),(205,1)}
       200:{1,3,5}:{(190,1),(192,1),(193,1),(205,1),(207,1),(209,1)}
       201:{2,3,5}:{(190,1),(191,1),(194,1),(206,1),(207,1)}
       202:{1,2,6}:{(193,1),(194,1),(204,1),(207,1)}
       203:{1,6}:{(195,1),(196,1)}
       204:{1,2,7}:{(197,1),(198,1),(202,1)}
       205:{1,4}:{(199,1),(200,1)}
       206:{2,3,4}:{(199,1),(201,1),(208,1)}
       207:{1,2,5}:{(200,1),(201,1),(202,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{1,3}:{(208,1)}

 451 :   0:{3,4,6,7}:{(3,1),(4,1),(5,1),(25,1),(33,1),(39,1),(68,1),(71,1),(77,1),(79,1),(126,1)}
         1:{2,3,6,7}:{(4,1),(6,1),(8,1),(25,1),(79,1),(121,1),(131,1)}
         2:{2,3,5,6}:{(7,1),(8,1),(9,1),(30,1),(32,1),(38,1),(70,1),(76,1),(79,1),(131,1),(161,1),(172,1)}
         3:{1,4,6,7}:{(0,1),(10,1),(12,1),(44,1),(50,1),(62,1),(108,1),(146,1)}
         4:{2,4,6,7}:{(0,1),(1,1),(13,1),(21,1),(52,1),(96,1),(107,1),(147,1)}
         5:{3,5,7}:{(0,1),(12,1),(13,1),(15,1),(16,1),(145,1)}
         6:{1,2,6,7}:{(1,1),(17,1),(19,1),(108,1),(143,1),(150,1),(151,1)}
         7:{1,2,5,6}:{(2,1),(18,1),(19,1),(20,1),(54,1),(106,1),(108,1),(111,1),(150,1),(151,1),(169,1)}
         8:{2,3,5,7}:{(1,1),(2,1),(13,1),(19,1),(21,1),(46,1),(53,1),(59,1)}
         9:{2,4,6}:{(2,1),(14,1),(21,1),(22,1),(99,1),(102,1),(174,1)}
        10:{1,3,6,7}:{(3,1),(23,1),(24,1),(25,1),(77,1),(86,1),(130,1)}
        11:{1,2,4,6,7}:{(3,1),(4,1),(6,1),(23,1),(25,1),(26,1),(34,1),(37,1),(63,1),(66,1),(71,1),(73,1),(162,1)}
        12:{1,5,7}:{(3,1),(5,1),(28,1),(160,1)}
        13:{2,5,7}:{(4,1),(5,1),(30,1),(161,1)}
        14:{2,4,5}:{(9,1),(32,1),(125,1),(161,1)}
        15:{3,5,6}:{(5,1),(28,1),(30,1),(33,1),(77,1),(79,1)}
        16:{4,5,7}:{(5,1),(33,1),(71,1),(125,1)}
        17:{1,3,6,7}:{(6,1),(25,1),(34,1),(35,1),(120,1),(130,1),(133,1)}
        18:{1,3,5,6}:{(7,1),(35,1),(36,1),(38,1),(70,1),(75,1),(81,1),(83,1),(130,1),(133,1),(160,1),(172,1)}
        19:{1,2,5,7}:{(6,1),(7,1),(8,1),(35,1),(37,1),(80,1),(134,1)}
        20:{1,2,4,6}:{(7,1),(9,1),(27,1),(36,1),(37,1),(38,1),(40,1),(85,1),(88,1),(129,1)}
        21:{2,4,7}:{(8,1),(9,1),(39,1),(71,1)}
        22:{3,4,6}:{(9,1),(32,1),(38,1),(39,1),(40,1),(72,1),(79,1)}
        23:{1,2,6,7}:{(10,1),(41,1),(42,1),(107,1),(113,1),(150,1),(164,1)}
        24:{1,3,5,7}:{(10,1),(12,1),(42,1),(43,1),(44,1),(46,1),(51,1),(93,1)}
        25:{3,6,7}:{(11,1),(46,1),(59,1),(93,1),(103,1),(170,1)}
        26:{1,2,5,7}:{(11,1),(12,1),(13,1),(46,1),(47,1),(55,1),(89,1),(169,1)}
        27:{1,2,4,5}:{(14,1),(20,1),(49,1),(54,1),(56,1),(101,1),(102,1),(106,1),(111,1),(169,1),(174,1)}
        28:{1,5,6}:{(12,1),(15,1),(50,1),(108,1)}
        29:{1,4,5,7}:{(12,1),(16,1),(44,1),(50,1),(51,1),(94,1)}
        30:{2,5,6}:{(13,1),(15,1),(52,1),(107,1)}
        31:{2,4,5,7}:{(13,1),(14,1),(16,1),(21,1),(52,1),(53,1)}
        32:{3,5}:{(14,1),(22,1),(54,1)}
        33:{4,6}:{(15,1),(16,1)}
        34:{1,4,6,7}:{(17,1),(45,1),(55,1),(57,1),(109,1),(139,1),(146,1),(164,1)}
        35:{1,3,5,7}:{(17,1),(18,1),(19,1),(46,1),(55,1),(57,1),(59,1),(110,1)}
        36:{1,4,6}:{(18,1),(56,1),(57,1),(58,1),(99,1),(101,1),(174,1)}
        37:{1,2,4,7}:{(19,1),(20,1),(21,1),(57,1),(59,1),(62,1),(112,1),(113,1)}
        38:{3,6}:{(20,1),(49,1),(59,1),(149,1)}
        39:{3,4,7}:{(21,1),(22,1),(53,1),(59,1),(62,1)}
        40:{1,4,6}:{(22,1),(54,1),(60,1),(62,1),(101,1),(108,1)}
        41:{2,3,6,7}:{(23,1),(25,1),(63,1),(64,1),(87,1),(131,1),(152,1)}
        42:{1,2,5,7}:{(23,1),(24,1),(64,1),(65,1),(66,1),(78,1),(153,1)}
        43:{1,3,5,6}:{(24,1),(28,1),(65,1),(67,1),(70,1),(77,1),(119,1),(122,1),(130,1),(157,1),(160,1),(172,1)}
        44:{1,4,7}:{(24,1),(67,1),(68,1),(71,1)}
        45:{3,4,6,7}:{(25,1),(34,1),(63,1),(69,1),(71,1),(84,1),(117,1),(124,1),(126,1),(133,1),(152,1)}
        46:{3,5,7}:{(25,1),(26,1),(70,1),(71,1),(172,1)}
        47:{1,2,5,6}:{(26,1),(28,1),(30,1),(70,1),(73,1),(81,1),(114,1),(160,1),(161,1)}
        48:{1,2,4,5,7}:{(26,1),(27,1),(29,1),(31,1),(37,1),(66,1),(71,1),(73,1),(74,1),(78,1),(80,1),(82,1),(115,1),(118,1),(125,1),(127,1),(128,1),(132,1),(134,1),(153,1),(160,1),(161,1)}
        49:{3,5}:{(27,1),(38,1),(72,1)}
        50:{1,4,6}:{(28,1),(29,1),(33,1),(77,1)}
        51:{3,5,7}:{(29,1),(68,1),(77,1),(78,1),(122,1)}
        52:{2,4,6}:{(30,1),(31,1),(33,1),(79,1)}
        53:{3,5,7}:{(31,1),(32,1),(39,1),(79,1),(80,1)}
        54:{1,5}:{(32,1),(40,1)}
        55:{1,5,7}:{(34,1),(69,1),(81,1),(160,1)}
        56:{1,4,5}:{(36,1),(83,1),(125,1),(160,1)}
        57:{1,4,7}:{(35,1),(36,1),(71,1),(84,1)}
        58:{3,4,6}:{(36,1),(38,1),(72,1),(83,1),(84,1),(85,1),(133,1)}
        59:{3,7}:{(37,1),(38,1)}
        60:{1,3,6}:{(38,1),(40,1),(75,1),(86,1),(88,1)}
        61:{2,3,6}:{(38,1),(76,1),(85,1),(87,1),(88,1)}
        62:{1,4,7}:{(39,1),(40,1),(80,1),(86,1)}
        63:{2,4,6,7}:{(41,1),(45,1),(89,1),(91,1),(112,1),(135,1),(147,1),(151,1)}
        64:{2,3,5,7}:{(41,1),(42,1),(46,1),(89,1),(90,1),(91,1),(93,1),(136,1)}
        65:{1,2,5,6}:{(42,1),(43,1),(90,1),(92,1),(107,1),(144,1),(150,1),(164,1),(165,1),(168,1),(169,1)}
        66:{1,2,4,7}:{(42,1),(44,1),(91,1),(92,1),(93,1),(96,1),(139,1),(143,1)}
        67:{1,4,6}:{(43,1),(44,1),(94,1),(95,1),(99,1),(166,1),(174,1)}
        68:{3,4,7}:{(44,1),(51,1),(93,1),(95,1),(96,1)}
        69:{3,5,7}:{(45,1),(55,1),(89,1),(97,1),(98,1),(145,1)}
        70:{3,5,6}:{(46,1),(47,1),(99,1),(103,1),(145,1)}
        71:{4,7}:{(46,1),(99,1),(174,1)}
        72:{3,4}:{(49,1),(101,1),(102,1),(149,1),(174,1)}
        73:{1,2,4,6}:{(47,1),(48,1),(50,1),(52,1),(99,1),(103,1),(107,1),(108,1),(109,1),(135,1),(146,1),(147,1),(150,1),(151,1),(164,1)}
        74:{3,5,7}:{(48,1),(49,1),(59,1),(93,1),(100,1),(103,1),(140,1),(145,1)}
        75:{1,3,5}:{(49,1),(54,1),(60,1),(101,1),(106,1),(149,1)}
        76:{2,3,5}:{(49,1),(61,1),(102,1),(106,1),(111,1),(149,1)}
        77:{3,6}:{(50,1),(51,1),(107,1)}
        78:{2,5,7}:{(51,1),(96,1),(107,1),(144,1)}
        79:{3,6}:{(52,1),(53,1),(108,1)}
        80:{1,5,7}:{(53,1),(54,1),(62,1),(108,1)}
        81:{1,5,6}:{(55,1),(97,1),(109,1),(164,1)}
        82:{1,4,5,7}:{(55,1),(56,1),(57,1),(98,1),(109,1),(110,1)}
        83:{3,5}:{(56,1),(58,1),(111,1)}
        84:{3,4,7}:{(57,1),(58,1),(59,1),(110,1),(112,1)}
        85:{2,4,6}:{(58,1),(61,1),(102,1),(111,1),(112,1),(151,1)}
        86:{1,3,7}:{(59,1),(60,1),(62,1),(113,1)}
        87:{2,3,7}:{(59,1),(61,1),(112,1),(113,1)}
        88:{1,2,6}:{(60,1),(61,1),(106,1),(113,1)}
        89:{2,5,7}:{(63,1),(69,1),(114,1),(161,1)}
        90:{2,3,5,6}:{(64,1),(65,1),(70,1),(114,1),(116,1),(119,1),(131,1),(152,1),(154,1),(158,1),(161,1),(172,1)}
        91:{2,4,7}:{(64,1),(71,1),(116,1),(117,1)}
        92:{1,2,4,6}:{(65,1),(66,1),(67,1),(116,1),(118,1),(119,1),(123,1),(155,1),(159,1),(171,1)}
        93:{3,7}:{(66,1),(119,1)}
        94:{1,4,5}:{(67,1),(122,1),(125,1),(160,1)}
        95:{3,4,6}:{(67,1),(68,1),(77,1),(119,1),(122,1),(123,1),(156,1)}
        96:{2,4,7}:{(68,1),(78,1),(121,1),(123,1)}
        97:{3,5,6}:{(69,1),(81,1),(114,1),(124,1),(133,1),(152,1)}
        98:{4,5,7}:{(69,1),(71,1),(124,1),(125,1)}
        99:{4,6}:{(70,1),(71,1),(125,1)}
       100:{3,4,7}:{(71,1),(72,1),(74,1),(126,1),(127,1),(128,1),(156,1),(163,1)}
       101:{1,4}:{(72,1),(75,1)}
       102:{2,4}:{(72,1),(76,1)}
       103:{3,6}:{(73,1),(74,1)}
       104:{1,3,5,7}:{(74,1),(75,1),(80,1),(86,1),(120,1),(127,1),(130,1),(132,1),(153,1),(157,1),(160,1),(163,1),(172,1)}
       105:{2,3,5,7}:{(74,1),(76,1),(78,1),(87,1),(121,1),(128,1),(131,1),(132,1),(134,1),(158,1),(161,1),(163,1),(172,1)}
       106:{1,2,5}:{(75,1),(76,1),(88,1),(129,1)}
       107:{2,6}:{(77,1),(78,1)}
       108:{1,6}:{(79,1),(80,1)}
       109:{1,4,6}:{(81,1),(82,1),(124,1),(133,1)}
       110:{3,5,7}:{(82,1),(83,1),(84,1),(133,1),(134,1)}
       111:{2,5}:{(83,1),(85,1)}
       112:{2,4,7}:{(84,1),(85,1),(87,1),(134,1)}
       113:{1,2,7}:{(86,1),(87,1),(88,1)}
       114:{2,5,6}:{(89,1),(97,1),(135,1),(151,1)}
       115:{2,4,5,7}:{(89,1),(91,1),(98,1),(135,1),(136,1),(137,1)}
       116:{2,4,6}:{(90,1),(91,1),(99,1),(137,1),(138,1),(167,1),(174,1)}
       117:{3,4,7}:{(91,1),(93,1),(136,1),(138,1),(139,1)}
       118:{1,2,4,5}:{(92,1),(94,1),(137,1),(140,1),(144,1),(165,1),(166,1),(167,1),(168,1),(169,1),(174,1)}
       119:{3,6}:{(92,1),(93,1),(140,1),(173,1)}
       120:{1,3,7}:{(93,1),(139,1),(141,1),(143,1)}
       121:{2,3,7}:{(93,1),(96,1),(142,1),(143,1)}
       122:{3,5}:{(94,1),(95,1),(144,1)}
       123:{2,4,6}:{(95,1),(96,1),(107,1),(142,1),(144,1),(167,1)}
       124:{4,6}:{(97,1),(98,1)}
       125:{4,5}:{(99,1),(145,1),(174,1)}
       126:{3,4,6}:{(99,1),(100,1),(103,1),(145,1),(146,1),(147,1),(170,1),(174,1)}
       127:{1,4,7}:{(100,1),(101,1),(104,1),(146,1),(166,1),(174,1)}
       128:{2,4,7}:{(100,1),(102,1),(105,1),(147,1),(167,1),(174,1)}
       129:{1,2,4}:{(101,1),(102,1),(106,1),(149,1)}
       130:{1,3,6}:{(103,1),(104,1),(108,1),(146,1),(150,1),(164,1),(170,1)}
       131:{2,3,6}:{(103,1),(105,1),(107,1),(147,1),(150,1),(151,1),(170,1)}
       132:{1,2,5,7}:{(104,1),(105,1),(106,1),(113,1),(143,1),(148,1),(150,1),(168,1),(169,1)}
       133:{3,6}:{(109,1),(110,1),(151,1)}
       134:{2,5,7}:{(110,1),(111,1),(112,1),(151,1)}
       135:{2,4,6}:{(114,1),(115,1),(124,1),(152,1)}
       136:{3,5,7}:{(115,1),(117,1),(152,1),(153,1),(154,1)}
       137:{2,4,5}:{(116,1),(125,1),(154,1),(161,1)}
       138:{3,4,6}:{(116,1),(117,1),(119,1),(152,1),(154,1),(155,1),(156,1)}
       139:{1,4,7}:{(117,1),(120,1),(153,1),(155,1)}
       140:{3,5}:{(118,1),(119,1),(156,1)}
       141:{1,3,6}:{(119,1),(120,1),(155,1),(157,1),(159,1)}
       142:{2,3,6}:{(119,1),(121,1),(123,1),(158,1),(159,1)}
       143:{1,2,7}:{(120,1),(121,1),(159,1)}
       144:{2,5}:{(122,1),(123,1)}
       145:{3,5}:{(125,1),(126,1),(160,1),(161,1)}
       146:{1,4,6}:{(126,1),(127,1),(130,1),(160,1)}
       147:{2,4,6}:{(126,1),(128,1),(131,1),(161,1)}
       148:{1,2,4,7}:{(127,1),(128,1),(129,1),(132,1),(162,1),(163,1),(171,1)}
       149:{3}:{(129,1)}
       150:{1,2,6}:{(130,1),(131,1),(132,1)}
       151:{2,6}:{(133,1),(134,1)}
       152:{3,6}:{(135,1),(136,1),(164,1)}
       153:{1,5,7}:{(136,1),(139,1),(164,1),(165,1)}
       154:{3,5}:{(137,1),(138,1),(165,1)}
       155:{1,4,6}:{(138,1),(139,1),(141,1),(164,1),(165,1),(166,1)}
       156:{3,4}:{(140,1),(166,1),(167,1),(173,1),(174,1)}
       157:{1,3,5}:{(140,1),(141,1),(165,1),(166,1),(168,1),(173,1)}
       158:{2,3,5}:{(140,1),(142,1),(144,1),(167,1),(168,1),(173,1)}
       159:{1,2,6}:{(141,1),(142,1),(143,1),(168,1)}
       160:{1,5}:{(145,1),(146,1)}
       161:{2,5}:{(145,1),(147,1)}
       162:{1,2,4,6}:{(146,1),(147,1),(148,1),(150,1),(169,1),(170,1),(174,1)}
       163:{3,7}:{(148,1),(149,1),(170,1),(173,1)}
       164:{1,6}:{(152,1),(153,1)}
       165:{1,5}:{(154,1),(155,1)}
       166:{1,4}:{(156,1),(157,1)}
       167:{2,4}:{(156,1),(158,1)}
       168:{1,2,5}:{(157,1),(158,1),(159,1),(171,1)}
       169:{1,2,5}:{(160,1),(161,1),(162,1),(172,1)}
       170:{3,6}:{(162,1),(163,1),(172,1)}
       171:{1,2,4}:{(166,1),(167,1),(168,1),(173,1)}
       172:{3,5}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{4}:{(172,1)}

 452 :  0:{3,4,5}:{(1,1),(2,1),(3,1),(19,1),(70,1)}
        1:{1,4,5}:{(0,1),(6,1),(9,1)}
        2:{2,4,5}:{(0,1),(7,1),(10,1)}
        3:{3,4,6}:{(0,1),(9,1),(10,1),(11,1),(12,1),(36,1),(62,1)}
        4:{1,3,4}:{(6,1),(13,1),(35,1)}
        5:{2,3,4}:{(7,1),(14,1),(35,1)}
        6:{1,3,5}:{(1,1),(4,1),(15,1),(16,1),(19,1)}
        7:{2,3,5}:{(2,1),(5,1),(17,1),(18,1),(19,1)}
        8:{1,2,4,5}:{(1,1),(2,1),(15,1),(17,1),(19,1),(20,1),(43,1),(46,1),(66,1),(68,1),(70,1)}
        9:{1,4,6}:{(1,1),(3,1),(16,1),(21,1),(22,1)}
       10:{2,4,6}:{(2,1),(3,1),(18,1),(23,1),(24,1)}
       11:{3,5,6}:{(3,1),(21,1),(23,1),(25,1),(26,1)}
       12:{3,4,7}:{(3,1),(22,1),(24,1),(26,1),(51,1),(72,1)}
       13:{1,2,4}:{(4,1),(15,1),(27,1),(43,1)}
       14:{1,2,4}:{(5,1),(17,1),(28,1),(46,1)}
       15:{1,2,5}:{(6,1),(13,1),(29,1),(30,1)}
       16:{1,3,6}:{(6,1),(9,1),(30,1),(31,1),(36,1)}
       17:{1,2,5}:{(7,1),(14,1),(32,1),(33,1)}
       18:{2,3,6}:{(7,1),(10,1),(33,1),(34,1),(36,1)}
       19:{3,5}:{(8,1),(35,1),(36,1)}
       20:{1,2,4,6}:{(8,1),(9,1),(10,1),(30,1),(33,1),(36,1),(37,1),(38,1),(56,1),(58,1),(62,1)}
       21:{1,5,6}:{(9,1),(11,1),(39,1)}
       22:{1,4,7}:{(9,1),(12,1),(31,1),(39,1)}
       23:{2,5,6}:{(10,1),(11,1),(40,1)}
       24:{2,4,7}:{(10,1),(12,1),(34,1),(40,1)}
       25:{4,5,6}:{(11,1),(41,1),(62,1),(83,1)}
       26:{3,5,7}:{(11,1),(12,1),(39,1),(40,1),(41,1),(42,1)}
       27:{2,3}:{(13,1)}
       28:{1,3}:{(14,1)}
       29:{2,3,5}:{(15,1),(19,1),(27,1),(43,1),(44,1),(66,1)}
       30:{1,2,6}:{(15,1),(16,1),(44,1),(45,1)}
       31:{1,3,7}:{(16,1),(22,1),(45,1),(51,1)}
       32:{1,3,5}:{(17,1),(19,1),(28,1),(46,1),(47,1),(68,1)}
       33:{1,2,6}:{(17,1),(18,1),(47,1),(48,1)}
       34:{2,3,7}:{(18,1),(24,1),(48,1),(51,1)}
       35:{3,4}:{(19,1),(43,1),(46,1)}
       36:{3,6}:{(19,1),(20,1),(51,1)}
       37:{1,2,5,6}:{(20,1),(21,1),(23,1),(50,1),(52,1),(66,1),(68,1),(79,1),(80,1)}
       38:{1,2,4,7}:{(20,1),(22,1),(24,1),(45,1),(48,1),(51,1),(52,1),(67,1),(69,1),(72,1)}
       39:{1,5,7}:{(21,1),(22,1),(26,1),(53,1)}
       40:{2,5,7}:{(23,1),(24,1),(26,1),(54,1)}
       41:{4,5,7}:{(25,1),(26,1),(55,1),(72,1),(82,1)}
       42:{3,6,7}:{(26,1),(53,1),(54,1),(55,1)}
       43:{2,4}:{(29,1),(35,1)}
       44:{2,3,6}:{(29,1),(30,1),(36,1),(56,1),(57,1)}
       45:{1,2,7}:{(30,1),(31,1),(57,1)}
       46:{1,4}:{(32,1),(35,1)}
       47:{1,3,6}:{(32,1),(33,1),(36,1),(58,1),(59,1)}
       48:{1,2,7}:{(33,1),(34,1),(59,1)}
       49:{3,4,6}:{(35,1),(36,1),(56,1),(58,1),(60,1),(61,1),(62,1),(77,1)}
       50:{3,5,6}:{(36,1),(37,1),(60,1),(62,1),(63,1),(77,1),(83,1)}
       51:{3,7}:{(36,1),(38,1)}
       52:{1,2,5,7}:{(37,1),(38,1),(39,1),(40,1),(63,1),(64,1),(74,1),(75,1)}
       53:{1,6,7}:{(39,1),(42,1)}
       54:{2,6,7}:{(40,1),(42,1)}
       55:{4,6,7}:{(41,1),(42,1),(65,1)}
       56:{2,4,6}:{(43,1),(44,1),(49,1),(66,1),(67,1),(79,1)}
       57:{2,3,7}:{(44,1),(45,1),(51,1),(67,1)}
       58:{1,4,6}:{(46,1),(47,1),(49,1),(68,1),(69,1),(80,1)}
       59:{1,3,7}:{(47,1),(48,1),(51,1),(69,1)}
       60:{3,5}:{(49,1),(66,1),(68,1),(70,1)}
       61:{3,4,7}:{(49,1),(51,1),(67,1),(69,1),(71,1),(72,1)}
       62:{4,6}:{(50,1),(70,1),(72,1)}
       63:{3,5,7}:{(50,1),(51,1),(52,1),(72,1),(73,1),(82,1)}
       64:{1,2,6,7}:{(52,1),(53,1),(54,1),(73,1),(79,1),(80,1)}
       65:{5,6,7}:{(55,1),(82,1)}
       66:{2,5}:{(56,1),(60,1)}
       67:{2,4,7}:{(56,1),(57,1),(61,1),(74,1)}
       68:{1,5}:{(58,1),(60,1)}
       69:{1,4,7}:{(58,1),(59,1),(61,1),(75,1)}
       70:{4,5}:{(60,1),(62,1)}
       71:{3,5,7}:{(60,1),(61,1),(74,1),(75,1),(76,1),(77,1)}
       72:{4,7}:{(62,1),(63,1)}
       73:{3,6,7}:{(63,1),(64,1),(77,1),(78,1)}
       74:{2,5,7}:{(66,1),(67,1),(71,1),(79,1)}
       75:{1,5,7}:{(68,1),(69,1),(71,1),(80,1)}
       76:{4,5,7}:{(70,1),(71,1),(72,1),(81,1),(82,1)}
       77:{3,6}:{(71,1),(79,1),(80,1),(81,1)}
       78:{4,6,7}:{(72,1),(73,1),(81,1),(82,1)}
       79:{2,6}:{(74,1),(77,1)}
       80:{1,6}:{(75,1),(77,1)}
       81:{4,6}:{(76,1),(77,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 453 :   0:{1,2,3,5}:{(1,1),(2,1),(7,1),(12,1),(27,1),(33,1)}
         1:{1,2,4}:{(0,1),(4,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(17,1),(43,1)}
         3:{1,2,4,5}:{(1,1),(7,1),(8,1),(12,1),(24,1),(25,1),(27,1),(34,1)}
         4:{3,4}:{(1,1),(7,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(13,1),(36,1)}
         6:{1,2,3,7}:{(2,1),(13,1),(31,1),(61,1)}
         7:{3,5}:{(3,1),(4,1),(17,1)}
         8:{1,2,4,6}:{(3,1),(17,1),(18,1),(19,1),(38,1),(39,1),(43,1),(46,1)}
         9:{1,3,4}:{(4,1),(15,1),(20,1),(65,1)}
        10:{2,3,4}:{(4,1),(16,1),(20,1),(65,1)}
        11:{3,4,6}:{(4,1),(5,1),(17,1),(21,1),(22,1),(46,1),(50,1)}
        12:{1,2,5}:{(5,1),(21,1)}
        13:{1,2,4,7}:{(5,1),(6,1),(22,1),(23,1)}
        14:{3,4,5}:{(7,1),(24,1),(25,1),(26,1),(34,1),(51,1),(94,1)}
        15:{1,3,5}:{(7,1),(9,1),(24,1),(27,1),(28,1),(51,1)}
        16:{2,3,5}:{(7,1),(10,1),(25,1),(27,1),(29,1),(51,1)}
        17:{3,6}:{(7,1),(8,1),(31,1)}
        18:{1,2,5,6}:{(8,1),(12,1),(30,1),(32,1),(36,1),(53,1),(55,1)}
        19:{1,2,4,7}:{(8,1),(31,1),(32,1),(54,1),(56,1),(61,1),(62,1)}
        20:{1,2,4}:{(9,1),(10,1),(27,1),(33,1)}
        21:{3,5}:{(11,1),(12,1),(34,1)}
        22:{3,4,7}:{(11,1),(13,1),(31,1),(35,1),(62,1)}
        23:{1,2,5,7}:{(12,1),(13,1),(35,1),(36,1)}
        24:{1,4,5}:{(14,1),(15,1),(38,1)}
        25:{2,4,5}:{(14,1),(16,1),(39,1)}
        26:{3,4,6}:{(14,1),(17,1),(38,1),(39,1),(40,1),(41,1),(46,1),(66,1),(89,1)}
        27:{1,2,5}:{(15,1),(16,1),(20,1),(43,1)}
        28:{1,3,6}:{(15,1),(17,1),(38,1),(43,1),(44,1),(66,1)}
        29:{2,3,6}:{(16,1),(17,1),(39,1),(43,1),(45,1),(66,1)}
        30:{3,5,6}:{(17,1),(18,1),(21,1),(46,1),(47,1),(50,1),(76,1)}
        31:{3,7}:{(17,1),(19,1)}
        32:{1,2,5,7}:{(18,1),(19,1),(47,1),(48,1),(69,1),(70,1)}
        33:{1,2,3}:{(20,1)}
        34:{4,5}:{(21,1),(46,1)}
        35:{3,5,7}:{(21,1),(22,1),(23,1),(49,1),(50,1)}
        36:{1,2,6}:{(23,1),(50,1)}
        37:{1,2,4,5}:{(24,1),(25,1),(27,1),(51,1),(52,1),(59,1),(84,1),(94,1)}
        38:{1,4,6}:{(24,1),(26,1),(28,1),(53,1),(54,1)}
        39:{2,4,6}:{(25,1),(26,1),(29,1),(55,1),(56,1)}
        40:{3,5,6}:{(26,1),(53,1),(55,1),(57,1),(58,1)}
        41:{3,4,7}:{(26,1),(31,1),(54,1),(56,1),(58,1),(62,1),(79,1),(96,1)}
        42:{1,2,3,5}:{(27,1),(33,1),(51,1),(59,1),(60,1),(84,1)}
        43:{1,2,6}:{(27,1),(28,1),(29,1),(61,1)}
        44:{1,3,7}:{(28,1),(31,1),(54,1),(61,1),(79,1)}
        45:{2,3,7}:{(29,1),(31,1),(56,1),(61,1),(79,1)}
        46:{4,6}:{(30,1),(34,1),(62,1)}
        47:{3,5,7}:{(30,1),(31,1),(32,1),(62,1),(63,1),(86,1)}
        48:{1,2,6,7}:{(32,1),(36,1),(63,1),(81,1),(82,1)}
        49:{4,5,7}:{(34,1),(35,1),(62,1),(64,1),(86,1)}
        50:{3,6}:{(35,1),(36,1),(64,1)}
        51:{3,5}:{(37,1),(65,1),(66,1)}
        52:{1,2,4,6}:{(37,1),(38,1),(39,1),(43,1),(66,1),(67,1),(68,1),(89,1)}
        53:{1,5,6}:{(38,1),(40,1),(69,1)}
        54:{1,4,7}:{(38,1),(41,1),(44,1),(69,1)}
        55:{2,5,6}:{(39,1),(40,1),(70,1)}
        56:{2,4,7}:{(39,1),(41,1),(45,1),(70,1)}
        57:{4,5,6}:{(40,1),(46,1),(71,1),(76,1),(89,1),(104,1)}
        58:{3,5,7}:{(40,1),(41,1),(69,1),(70,1),(71,1),(72,1)}
        59:{1,2,4}:{(42,1),(65,1)}
        60:{1,2,3,6}:{(42,1),(43,1),(66,1),(73,1),(74,1)}
        61:{1,2,7}:{(43,1),(44,1),(45,1)}
        62:{4,7}:{(46,1),(47,1)}
        63:{3,6,7}:{(47,1),(48,1),(50,1),(75,1)}
        64:{4,6}:{(49,1),(50,1),(76,1)}
        65:{3,4}:{(51,1),(59,1)}
        66:{3,6}:{(51,1),(52,1),(79,1)}
        67:{1,2,5,6}:{(52,1),(53,1),(55,1),(78,1),(80,1),(84,1),(98,1)}
        68:{1,2,4,7}:{(52,1),(54,1),(56,1),(61,1),(79,1),(80,1),(96,1)}
        69:{1,5,7}:{(53,1),(54,1),(58,1),(81,1)}
        70:{2,5,7}:{(55,1),(56,1),(58,1),(82,1)}
        71:{4,5,7}:{(57,1),(58,1),(62,1),(83,1),(86,1),(96,1),(103,1)}
        72:{3,6,7}:{(58,1),(81,1),(82,1),(83,1)}
        73:{1,2,4,6}:{(59,1),(60,1),(77,1),(84,1),(85,1),(98,1)}
        74:{1,2,3,7}:{(60,1),(61,1),(79,1),(85,1)}
        75:{4,6,7}:{(62,1),(63,1),(64,1),(86,1)}
        76:{5,6}:{(64,1),(86,1)}
        77:{3,4,6}:{(65,1),(66,1),(73,1),(87,1),(88,1),(89,1),(100,1)}
        78:{3,5,6}:{(66,1),(67,1),(87,1),(89,1),(90,1),(100,1),(104,1)}
        79:{3,7}:{(66,1),(68,1)}
        80:{1,2,5,7}:{(67,1),(68,1),(69,1),(70,1),(90,1),(91,1)}
        81:{1,6,7}:{(69,1),(72,1)}
        82:{2,6,7}:{(70,1),(72,1)}
        83:{4,6,7}:{(71,1),(72,1),(92,1)}
        84:{1,2,5}:{(73,1),(87,1)}
        85:{1,2,4,7}:{(73,1),(74,1),(88,1),(93,1)}
        86:{5,7}:{(75,1),(76,1)}
        87:{3,5}:{(77,1),(84,1),(94,1)}
        88:{3,4,7}:{(77,1),(79,1),(85,1),(95,1),(96,1)}
        89:{4,6}:{(78,1),(94,1),(96,1)}
        90:{3,5,7}:{(78,1),(79,1),(80,1),(96,1),(97,1),(103,1)}
        91:{1,2,6,7}:{(80,1),(81,1),(82,1),(97,1),(98,1)}
        92:{5,6,7}:{(83,1),(86,1),(103,1)}
        93:{1,2,5,7}:{(84,1),(85,1),(95,1),(98,1)}
        94:{4,5}:{(87,1),(89,1)}
        95:{3,5,7}:{(87,1),(88,1),(93,1),(99,1),(100,1)}
        96:{4,7}:{(89,1),(90,1)}
        97:{3,6,7}:{(90,1),(91,1),(100,1),(101,1)}
        98:{1,2,6}:{(93,1),(100,1)}
        99:{4,5,7}:{(94,1),(95,1),(96,1),(102,1),(103,1)}
       100:{3,6}:{(95,1),(98,1),(102,1)}
       101:{4,6,7}:{(96,1),(97,1),(102,1),(103,1)}
       102:{4,6}:{(99,1),(100,1),(104,1)}
       103:{5,7}:{(101,1),(104,1)}
       104:{5,6}:{(102,1),(103,1)}

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

 455 :   0:{1,2,3,7}:{(1,1),(2,1),(44,1),(68,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(4,1),(5,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(34,1),(58,1)}
         3:{3,4,7}:{(1,1),(7,1),(8,1),(40,1),(44,1)}
         4:{1,2,5,7}:{(1,1),(7,1),(9,1),(10,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(9,1),(10,1),(11,1)}
         6:{1,2,3,5}:{(2,1),(10,1),(11,1),(25,1),(47,1),(48,1)}
         7:{3,5,7}:{(3,1),(4,1),(12,1),(13,1),(14,1)}
         8:{3,4,6}:{(3,1),(5,1),(13,1),(14,1),(18,1),(31,1),(34,1)}
         9:{1,2,6}:{(4,1),(13,1)}
        10:{1,2,5}:{(5,1),(14,1)}
        11:{1,2,4}:{(6,1),(18,1)}
        12:{4,5,7}:{(7,1),(19,1),(22,1),(38,1),(40,1)}
        13:{3,6}:{(7,1),(9,1),(19,1)}
        14:{3,5}:{(8,1),(10,1),(22,1)}
        15:{1,2,6,7}:{(9,1),(20,1),(23,1),(80,1),(81,1)}
        16:{1,2,5,6}:{(9,1),(10,1),(21,1),(23,1),(24,1),(62,1),(63,1)}
        17:{1,2,4,5}:{(10,1),(11,1),(22,1),(24,1),(25,1),(42,1),(43,1),(47,1)}
        18:{3,4}:{(11,1),(25,1)}
        19:{4,6}:{(12,1),(13,1),(29,1)}
        20:{3,6,7}:{(13,1),(15,1),(28,1),(30,1)}
        21:{3,5,6}:{(13,1),(14,1),(16,1),(29,1),(30,1),(31,1),(34,1)}
        22:{4,5}:{(14,1),(31,1)}
        23:{1,2,5,7}:{(15,1),(16,1),(30,1),(33,1),(72,1),(73,1)}
        24:{1,2,4,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(53,1),(54,1),(58,1)}
        25:{3,5}:{(17,1),(18,1),(34,1)}
        26:{1,3,4}:{(18,1),(35,1),(37,1),(77,1)}
        27:{2,3,4}:{(18,1),(36,1),(37,1),(77,1)}
        28:{4,6,7}:{(19,1),(20,1),(38,1),(40,1)}
        29:{5,6}:{(19,1),(38,1)}
        30:{3,5,7}:{(20,1),(21,1),(23,1),(38,1),(40,1),(44,1)}
        31:{4,6}:{(21,1),(22,1),(40,1)}
        32:{3,4,5}:{(22,1),(25,1),(41,1),(42,1),(43,1),(67,1),(96,1)}
        33:{1,2,4,7}:{(23,1),(24,1),(40,1),(44,1),(64,1),(65,1),(68,1)}
        34:{3,6}:{(24,1),(25,1),(44,1)}
        35:{1,3,5}:{(25,1),(26,1),(42,1),(45,1),(47,1),(67,1)}
        36:{2,3,5}:{(25,1),(27,1),(43,1),(46,1),(47,1),(67,1)}
        37:{1,2,4}:{(26,1),(27,1),(47,1),(48,1)}
        38:{5,7}:{(28,1),(29,1)}
        39:{4,5,6}:{(29,1),(31,1),(50,1),(51,1),(90,1),(104,1)}
        40:{4,7}:{(30,1),(31,1)}
        41:{3,4,6}:{(31,1),(32,1),(34,1),(51,1),(52,1),(53,1),(54,1),(76,1),(90,1)}
        42:{1,4,5}:{(32,1),(35,1),(53,1)}
        43:{2,4,5}:{(32,1),(36,1),(54,1)}
        44:{3,7}:{(33,1),(34,1)}
        45:{1,3,6}:{(34,1),(35,1),(53,1),(56,1),(58,1),(76,1)}
        46:{2,3,6}:{(34,1),(36,1),(54,1),(57,1),(58,1),(76,1)}
        47:{1,2,5}:{(35,1),(36,1),(37,1),(58,1)}
        48:{1,2,3}:{(37,1)}
        49:{5,6,7}:{(38,1),(60,1),(102,1)}
        50:{4,5,7}:{(38,1),(39,1),(40,1),(60,1),(61,1),(95,1),(102,1)}
        51:{3,5,6}:{(39,1),(41,1),(61,1),(62,1),(63,1)}
        52:{3,4,7}:{(40,1),(41,1),(44,1),(61,1),(64,1),(65,1),(84,1),(95,1)}
        53:{1,4,6}:{(41,1),(42,1),(45,1),(62,1),(64,1)}
        54:{2,4,6}:{(41,1),(43,1),(46,1),(63,1),(65,1)}
        55:{1,2,4,5}:{(42,1),(43,1),(47,1),(66,1),(67,1),(70,1),(87,1),(96,1)}
        56:{1,3,7}:{(44,1),(45,1),(64,1),(68,1),(84,1)}
        57:{2,3,7}:{(44,1),(46,1),(65,1),(68,1),(84,1)}
        58:{1,2,6}:{(45,1),(46,1),(47,1),(68,1)}
        59:{1,2,3,5}:{(47,1),(48,1),(67,1),(69,1),(70,1),(87,1)}
        60:{4,6,7}:{(49,1),(50,1),(71,1)}
        61:{3,5,7}:{(50,1),(51,1),(52,1),(71,1),(72,1),(73,1)}
        62:{1,5,6}:{(51,1),(53,1),(72,1)}
        63:{2,5,6}:{(51,1),(54,1),(73,1)}
        64:{1,4,7}:{(52,1),(53,1),(56,1),(72,1)}
        65:{2,4,7}:{(52,1),(54,1),(57,1),(73,1)}
        66:{1,2,4,6}:{(53,1),(54,1),(55,1),(58,1),(74,1),(75,1),(76,1),(90,1)}
        67:{3,5}:{(55,1),(76,1),(77,1)}
        68:{1,2,7}:{(56,1),(57,1),(58,1)}
        69:{1,2,3,6}:{(58,1),(59,1),(76,1),(78,1),(79,1)}
        70:{1,2,4}:{(59,1),(77,1)}
        71:{3,6,7}:{(60,1),(61,1),(80,1),(81,1)}
        72:{1,5,7}:{(61,1),(62,1),(64,1),(80,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1),(81,1)}
        74:{1,2,5,6}:{(62,1),(63,1),(66,1),(82,1),(83,1),(87,1),(98,1)}
        75:{1,2,4,7}:{(64,1),(65,1),(66,1),(68,1),(82,1),(84,1),(95,1)}
        76:{3,6}:{(66,1),(67,1),(84,1)}
        77:{3,4}:{(67,1),(70,1)}
        78:{1,2,3,7}:{(68,1),(69,1),(84,1),(86,1)}
        79:{1,2,4,6}:{(69,1),(70,1),(85,1),(86,1),(87,1),(98,1)}
        80:{1,6,7}:{(71,1),(72,1)}
        81:{2,6,7}:{(71,1),(73,1)}
        82:{1,2,5,7}:{(72,1),(73,1),(74,1),(75,1),(88,1),(89,1)}
        83:{3,5,6}:{(74,1),(76,1),(89,1),(90,1),(92,1),(101,1),(104,1)}
        84:{3,7}:{(75,1),(76,1)}
        85:{3,4,6}:{(76,1),(77,1),(79,1),(90,1),(91,1),(92,1),(101,1)}
        86:{1,2,4,7}:{(78,1),(79,1),(91,1),(93,1)}
        87:{1,2,5}:{(79,1),(92,1)}
        88:{1,2,6,7}:{(80,1),(81,1),(82,1),(94,1),(98,1)}
        89:{3,5,7}:{(82,1),(83,1),(84,1),(94,1),(95,1),(102,1)}
        90:{4,6}:{(83,1),(95,1),(96,1)}
        91:{3,4,7}:{(84,1),(85,1),(86,1),(95,1),(97,1)}
        92:{3,5}:{(85,1),(87,1),(96,1)}
        93:{1,2,5,7}:{(86,1),(87,1),(97,1),(98,1)}
        94:{3,6,7}:{(88,1),(89,1),(99,1),(101,1)}
        95:{4,7}:{(89,1),(90,1)}
        96:{4,5}:{(90,1),(92,1)}
        97:{3,5,7}:{(91,1),(92,1),(93,1),(100,1),(101,1)}
        98:{1,2,6}:{(93,1),(101,1)}
        99:{4,6,7}:{(94,1),(95,1),(102,1),(103,1)}
       100:{4,5,7}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{5,7}:{(99,1),(104,1)}
       103:{4,6}:{(100,1),(101,1),(104,1)}
       104:{5,6}:{(102,1),(103,1)}

 456 :   0:{1,3,5,6}:{(2,1),(3,1),(4,1),(18,1),(21,1),(50,1),(60,1),(61,1),(94,1),(96,1),(125,1),(150,1)}
         1:{2,3,5,6}:{(2,1),(5,1),(6,1),(18,1),(26,1),(51,1),(65,1),(66,1),(95,1),(96,1),(126,1),(150,1)}
         2:{1,2,5,6}:{(0,1),(1,1),(7,1),(8,1),(37,1),(43,1),(72,1),(81,1),(85,1),(112,1),(139,1)}
         3:{1,4,6}:{(0,1),(9,1),(10,1),(11,1),(69,1),(115,1),(159,1)}
         4:{1,3,5,7}:{(0,1),(8,1),(11,1),(12,1),(35,1),(38,1),(42,1),(80,1)}
         5:{2,4,6}:{(1,1),(13,1),(14,1),(15,1),(70,1),(115,1),(159,1)}
         6:{2,3,5,7}:{(1,1),(8,1),(15,1),(16,1),(35,1),(44,1),(48,1),(80,1)}
         7:{1,2,4,6}:{(2,1),(3,1),(5,1),(17,1),(18,1),(19,1),(23,1),(28,1),(54,1),(89,1)}
         8:{1,2,5,7}:{(2,1),(4,1),(6,1),(19,1),(20,1),(59,1),(64,1)}
         9:{1,4,5}:{(3,1),(21,1),(125,1),(127,1)}
        10:{3,4,6}:{(3,1),(18,1),(21,1),(23,1),(24,1),(49,1),(60,1)}
        11:{1,4,7}:{(3,1),(4,1),(24,1),(100,1)}
        12:{1,3,6,7}:{(4,1),(20,1),(25,1),(57,1),(60,1),(94,1),(157,1)}
        13:{2,4,5}:{(5,1),(26,1),(126,1),(127,1)}
        14:{3,4,6}:{(5,1),(18,1),(26,1),(28,1),(29,1),(49,1),(65,1)}
        15:{2,4,7}:{(5,1),(6,1),(29,1),(100,1)}
        16:{2,3,6,7}:{(6,1),(20,1),(30,1),(57,1),(65,1),(95,1),(158,1)}
        17:{1,2,4,5}:{(7,1),(9,1),(13,1),(31,1),(37,1),(43,1),(69,1),(70,1),(72,1),(139,1),(159,1)}
        18:{3,6}:{(7,1),(31,1),(35,1),(107,1)}
        19:{1,2,4,7}:{(7,1),(8,1),(11,1),(15,1),(35,1),(40,1),(46,1),(77,1)}
        20:{1,2,6,7}:{(8,1),(12,1),(16,1),(81,1),(85,1),(112,1),(165,1)}
        21:{3,5}:{(9,1),(10,1),(37,1)}
        22:{1,4,5,7}:{(9,1),(11,1),(38,1),(39,1),(42,1),(84,1)}
        23:{2,4,6}:{(10,1),(34,1),(37,1),(40,1),(70,1),(81,1)}
        24:{3,4,7}:{(10,1),(11,1),(35,1),(38,1),(40,1)}
        25:{1,4,6,7}:{(11,1),(12,1),(39,1),(41,1),(42,1),(109,1),(147,1),(148,1)}
        26:{3,5}:{(13,1),(14,1),(43,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(44,1),(45,1),(48,1),(88,1)}
        28:{1,4,6}:{(14,1),(33,1),(43,1),(46,1),(69,1),(85,1)}
        29:{3,4,7}:{(14,1),(15,1),(35,1),(44,1),(46,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(45,1),(47,1),(48,1),(110,1),(146,1),(149,1)}
        31:{3,5}:{(17,1),(18,1),(49,1)}
        32:{1,2,4,5,7}:{(17,1),(19,1),(22,1),(27,1),(52,1),(53,1),(58,1),(59,1),(64,1),(90,1),(91,1),(93,1),(100,1),(103,1),(106,1),(125,1),(126,1),(127,1),(131,1),(135,1),(137,1),(151,1)}
        33:{1,3,6}:{(18,1),(28,1),(50,1),(54,1),(55,1)}
        34:{2,3,6}:{(18,1),(23,1),(51,1),(54,1),(56,1)}
        35:{3,7}:{(18,1),(19,1)}
        36:{1,2,4,6,7}:{(19,1),(20,1),(25,1),(30,1),(53,1),(57,1),(58,1),(62,1),(67,1),(97,1),(100,1),(124,1),(131,1)}
        37:{2,5}:{(21,1),(23,1)}
        38:{3,5,7}:{(21,1),(22,1),(24,1),(59,1),(60,1)}
        39:{1,4,6}:{(22,1),(60,1),(61,1),(102,1)}
        40:{2,4,7}:{(23,1),(24,1),(56,1),(59,1)}
        41:{3,4,6,7}:{(24,1),(25,1),(57,1),(60,1),(62,1),(63,1),(92,1),(100,1),(102,1),(133,1),(134,1)}
        42:{1,5,7}:{(25,1),(61,1),(63,1),(125,1)}
        43:{1,5}:{(26,1),(28,1)}
        44:{3,5,7}:{(26,1),(27,1),(29,1),(64,1),(65,1)}
        45:{2,4,6}:{(27,1),(65,1),(66,1),(105,1)}
        46:{1,4,7}:{(28,1),(29,1),(55,1),(64,1)}
        47:{3,4,6,7}:{(29,1),(30,1),(57,1),(65,1),(67,1),(68,1),(92,1),(100,1),(105,1),(132,1),(136,1)}
        48:{2,5,7}:{(30,1),(66,1),(68,1),(126,1)}
        49:{3,4}:{(31,1),(69,1),(70,1),(107,1),(159,1)}
        50:{1,3,5}:{(31,1),(33,1),(43,1),(69,1),(72,1),(107,1)}
        51:{2,3,5}:{(31,1),(34,1),(37,1),(70,1),(72,1),(107,1)}
        52:{3,5,7}:{(31,1),(32,1),(35,1),(71,1),(75,1),(111,1),(145,1),(160,1)}
        53:{1,2,4,6}:{(32,1),(39,1),(45,1),(75,1),(76,1),(81,1),(85,1),(109,1),(110,1),(112,1),(115,1),(119,1),(121,1),(148,1),(149,1)}
        54:{1,2,6}:{(33,1),(34,1),(72,1),(77,1)}
        55:{1,3,7}:{(33,1),(35,1),(46,1),(77,1)}
        56:{2,3,7}:{(34,1),(35,1),(40,1),(77,1)}
        57:{3,6,7}:{(35,1),(36,1),(75,1),(80,1),(138,1),(145,1)}
        58:{1,2,5,7}:{(36,1),(42,1),(48,1),(76,1),(80,1),(83,1),(87,1),(139,1)}
        59:{2,5,7}:{(37,1),(38,1),(40,1),(81,1)}
        60:{3,6}:{(38,1),(39,1),(81,1)}
        61:{1,5,6}:{(39,1),(42,1),(82,1),(148,1)}
        62:{2,4,6,7}:{(40,1),(41,1),(79,1),(81,1),(83,1),(110,1),(118,1),(119,1)}
        63:{3,5,7}:{(41,1),(42,1),(82,1),(83,1),(84,1),(111,1)}
        64:{1,5,7}:{(43,1),(44,1),(46,1),(85,1)}
        65:{3,6}:{(44,1),(45,1),(85,1)}
        66:{2,5,6}:{(45,1),(48,1),(86,1),(149,1)}
        67:{1,4,6,7}:{(46,1),(47,1),(78,1),(85,1),(87,1),(109,1),(117,1),(121,1)}
        68:{3,5,7}:{(47,1),(48,1),(86,1),(87,1),(88,1),(111,1)}
        69:{1,4}:{(49,1),(50,1)}
        70:{2,4}:{(49,1),(51,1)}
        71:{3,4,7}:{(49,1),(52,1),(90,1),(91,1),(92,1),(100,1),(123,1),(166,1)}
        72:{1,2,5}:{(50,1),(51,1),(54,1),(89,1)}
        73:{1,3,5,7}:{(50,1),(52,1),(55,1),(64,1),(90,1),(93,1),(94,1),(123,1),(125,1),(135,1),(150,1),(157,1),(167,1)}
        74:{2,3,5,7}:{(51,1),(52,1),(56,1),(59,1),(91,1),(93,1),(95,1),(123,1),(126,1),(137,1),(150,1),(158,1),(168,1)}
        75:{3,6}:{(52,1),(53,1)}
        76:{1,2,5,6}:{(53,1),(58,1),(61,1),(66,1),(96,1),(101,1),(104,1),(125,1),(126,1)}
        77:{1,2,7}:{(54,1),(55,1),(56,1)}
        78:{1,3,6,7}:{(55,1),(57,1),(67,1),(94,1),(97,1),(98,1),(136,1)}
        79:{2,3,6,7}:{(56,1),(57,1),(62,1),(95,1),(97,1),(99,1),(134,1)}
        80:{3,5,7}:{(57,1),(58,1),(96,1),(100,1),(150,1)}
        81:{2,6}:{(59,1),(60,1)}
        82:{3,5,6}:{(60,1),(61,1),(63,1),(101,1),(102,1),(134,1)}
        83:{2,5,7}:{(62,1),(63,1),(101,1),(126,1)}
        84:{4,5,7}:{(63,1),(100,1),(102,1),(127,1)}
        85:{1,6}:{(64,1),(65,1)}
        86:{3,5,6}:{(65,1),(66,1),(68,1),(104,1),(105,1),(136,1)}
        87:{1,5,7}:{(67,1),(68,1),(104,1),(125,1)}
        88:{4,5,7}:{(68,1),(100,1),(105,1),(127,1)}
        89:{1,2,4}:{(69,1),(70,1),(72,1),(107,1)}
        90:{1,4,7}:{(69,1),(71,1),(73,1),(109,1),(159,1),(170,1)}
        91:{2,4,7}:{(70,1),(71,1),(74,1),(110,1),(159,1),(171,1)}
        92:{3,4,6}:{(71,1),(75,1),(109,1),(110,1),(111,1),(115,1),(138,1),(159,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(77,1),(108,1),(112,1),(139,1),(165,1),(172,1)}
        94:{1,3,6}:{(73,1),(75,1),(85,1),(109,1),(112,1),(138,1),(148,1)}
        95:{2,3,6}:{(74,1),(75,1),(81,1),(110,1),(112,1),(138,1),(149,1)}
        96:{3,5,6}:{(75,1),(76,1),(80,1),(111,1),(115,1)}
        97:{1,2,6,7}:{(77,1),(78,1),(79,1),(112,1),(116,1),(148,1),(149,1)}
        98:{1,3,5,7}:{(78,1),(80,1),(87,1),(113,1),(116,1),(117,1),(122,1),(145,1)}
        99:{2,3,5,7}:{(79,1),(80,1),(83,1),(114,1),(116,1),(118,1),(120,1),(145,1)}
       100:{4,7}:{(80,1),(115,1),(159,1)}
       101:{2,5,6}:{(81,1),(82,1),(83,1),(119,1)}
       102:{4,6}:{(82,1),(84,1)}
       103:{2,4,5,7}:{(83,1),(84,1),(118,1),(119,1),(120,1),(141,1)}
       104:{1,5,6}:{(85,1),(86,1),(87,1),(121,1)}
       105:{4,6}:{(86,1),(88,1)}
       106:{1,4,5,7}:{(87,1),(88,1),(117,1),(121,1),(122,1),(140,1)}
       107:{3}:{(89,1)}
       108:{1,2,4,7}:{(89,1),(90,1),(91,1),(93,1),(123,1),(124,1),(173,1)}
       109:{1,4,6}:{(90,1),(92,1),(94,1),(125,1)}
       110:{2,4,6}:{(91,1),(92,1),(95,1),(126,1)}
       111:{3,5}:{(92,1),(125,1),(126,1),(127,1)}
       112:{1,2,6}:{(93,1),(94,1),(95,1)}
       113:{1,3,5,6}:{(94,1),(96,1),(98,1),(104,1),(125,1),(128,1),(129,1),(136,1),(150,1),(152,1),(154,1),(167,1)}
       114:{2,3,5,6}:{(95,1),(96,1),(99,1),(101,1),(126,1),(128,1),(130,1),(134,1),(150,1),(153,1),(154,1),(168,1)}
       115:{4,6}:{(96,1),(100,1),(127,1)}
       116:{1,2,5,7}:{(97,1),(98,1),(99,1),(128,1),(131,1),(135,1),(137,1)}
       117:{1,4,7}:{(98,1),(100,1),(129,1),(132,1)}
       118:{2,4,7}:{(99,1),(100,1),(130,1),(133,1)}
       119:{2,4,6}:{(101,1),(102,1),(103,1),(134,1)}
       120:{3,5,7}:{(103,1),(133,1),(134,1),(135,1),(153,1)}
       121:{1,4,6}:{(104,1),(105,1),(106,1),(136,1)}
       122:{3,5,7}:{(106,1),(132,1),(136,1),(137,1),(152,1)}
       123:{3,7}:{(107,1),(108,1),(138,1),(174,1)}
       124:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(138,1),(139,1),(159,1)}
       125:{1,5}:{(109,1),(111,1)}
       126:{2,5}:{(110,1),(111,1)}
       127:{4,5}:{(111,1),(115,1),(159,1)}
       128:{1,2,5,6}:{(112,1),(113,1),(114,1),(116,1),(139,1),(142,1),(148,1),(149,1),(161,1),(162,1),(172,1)}
       129:{1,4,6}:{(113,1),(115,1),(117,1),(140,1),(143,1),(159,1),(170,1)}
       130:{2,4,6}:{(114,1),(115,1),(118,1),(141,1),(144,1),(159,1),(171,1)}
       131:{1,2,4,7}:{(116,1),(117,1),(118,1),(142,1),(145,1),(146,1),(147,1),(165,1)}
       132:{3,4,7}:{(117,1),(122,1),(143,1),(145,1),(146,1)}
       133:{3,4,7}:{(118,1),(120,1),(144,1),(145,1),(147,1)}
       134:{3,6}:{(119,1),(120,1),(148,1)}
       135:{1,5,7}:{(120,1),(147,1),(148,1),(162,1)}
       136:{3,6}:{(121,1),(122,1),(149,1)}
       137:{2,5,7}:{(122,1),(146,1),(149,1),(161,1)}
       138:{3,6}:{(123,1),(124,1),(150,1)}
       139:{1,2,5}:{(124,1),(125,1),(126,1),(150,1)}
       140:{1,4,5}:{(125,1),(127,1),(129,1),(152,1)}
       141:{2,4,5}:{(126,1),(127,1),(130,1),(153,1)}
       142:{1,2,4,6}:{(128,1),(129,1),(130,1),(131,1),(151,1),(154,1),(155,1),(156,1),(169,1),(173,1)}
       143:{3,4,6}:{(129,1),(132,1),(136,1),(152,1),(154,1),(155,1),(166,1)}
       144:{3,4,6}:{(130,1),(133,1),(134,1),(153,1),(154,1),(156,1),(166,1)}
       145:{3,7}:{(131,1),(154,1)}
       146:{2,4,7}:{(132,1),(137,1),(155,1),(158,1)}
       147:{1,4,7}:{(133,1),(135,1),(156,1),(157,1)}
       148:{1,6}:{(134,1),(135,1)}
       149:{2,6}:{(136,1),(137,1)}
       150:{3,5}:{(138,1),(139,1),(159,1)}
       151:{1,2,4,5}:{(139,1),(140,1),(141,1),(142,1),(159,1),(160,1),(161,1),(162,1),(170,1),(171,1),(172,1)}
       152:{3,5}:{(140,1),(143,1),(161,1)}
       153:{3,5}:{(141,1),(144,1),(162,1)}
       154:{3,6}:{(142,1),(145,1),(160,1),(174,1)}
       155:{2,4,6}:{(143,1),(146,1),(149,1),(161,1),(164,1),(171,1)}
       156:{1,4,6}:{(144,1),(147,1),(148,1),(162,1),(163,1),(170,1)}
       157:{1,3,7}:{(145,1),(147,1),(163,1),(165,1)}
       158:{2,3,7}:{(145,1),(146,1),(164,1),(165,1)}
       159:{4}:{(150,1)}
       160:{3,5}:{(151,1),(154,1),(166,1)}
       161:{2,5}:{(152,1),(155,1)}
       162:{1,5}:{(153,1),(156,1)}
       163:{1,3,6}:{(154,1),(156,1),(157,1),(167,1),(169,1)}
       164:{2,3,6}:{(154,1),(155,1),(158,1),(168,1),(169,1)}
       165:{1,2,7}:{(157,1),(158,1),(169,1)}
       166:{3,4}:{(159,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(160,1),(162,1),(163,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(160,1),(161,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(163,1),(164,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

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

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

 459 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(2,1),(3,1)}
        2:{3,4}:{(1,1),(4,1)}
        3:{1,2,5}:{(1,1),(4,1),(5,1)}
        4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
        5:{1,2,6}:{(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:{1,2,7}:{(5,1),(10,1)}
        9:{4,6}:{(6,1),(7,1),(11,1),(12,1)}
       10:{3,7}:{(7,1),(8,1),(12,1)}
       11:{5,6}:{(9,1),(13,1)}
       12:{4,7}:{(9,1),(10,1),(13,1)}
       13:{5,7}:{(11,1),(12,1),(14,1)}
       14:{6,7}:{(13,1)}

 460 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(18,1),(19,1),(21,1),(28,1),(50,1),(51,1),(54,1),(55,1),(56,1),(60,1),(86,1),(87,1),(89,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(15,1),(16,1),(25,1),(28,1),(60,1),(132,1)}
         2:{3,5,7}:{(0,1),(7,1),(10,1),(37,1),(77,1),(105,1)}
         3:{1,2,4,6}:{(0,1),(10,1),(11,1),(35,1),(36,1),(38,1),(41,1),(64,1),(65,1),(99,1),(100,1)}
         4:{3,6,7}:{(1,1),(10,1),(14,1),(77,1),(136,1)}
         5:{1,2,5,7}:{(1,1),(11,1),(14,1),(31,1),(32,1),(135,1)}
         6:{3,4,6,7}:{(4,1),(15,1),(16,1),(17,1),(20,1),(28,1),(47,1),(48,1),(61,1),(62,1),(82,1),(83,1),(84,1),(112,1)}
         7:{3,4,7}:{(2,1),(18,1),(19,1),(20,1),(28,1),(52,1),(118,1)}
         8:{1,3,5,7}:{(2,1),(18,1),(21,1),(22,1),(52,1),(54,1),(87,1),(88,1),(95,1),(119,1)}
         9:{2,3,5,7}:{(2,1),(19,1),(21,1),(23,1),(52,1),(55,1),(86,1),(88,1),(96,1),(120,1)}
        10:{3,6}:{(2,1),(3,1)}
        11:{1,2,5,6}:{(3,1),(5,1),(24,1),(45,1),(46,1),(54,1),(55,1)}
        12:{1,3,6,7}:{(4,1),(15,1),(22,1),(25,1),(26,1),(48,1),(82,1),(95,1),(113,1)}
        13:{2,3,6,7}:{(4,1),(16,1),(23,1),(25,1),(27,1),(48,1),(83,1),(96,1),(114,1)}
        14:{3,5,7}:{(4,1),(5,1),(24,1),(28,1),(138,1)}
        15:{1,4,6,7}:{(6,1),(12,1),(31,1),(35,1),(43,1),(64,1),(79,1),(100,1),(123,1)}
        16:{2,4,6,7}:{(6,1),(13,1),(32,1),(36,1),(44,1),(65,1),(78,1),(99,1),(124,1)}
        17:{3,5,7}:{(6,1),(29,1),(31,1),(32,1),(33,1),(37,1),(122,1)}
        18:{1,4,7}:{(7,1),(8,1),(35,1),(104,1),(127,1)}
        19:{2,4,7}:{(7,1),(9,1),(36,1),(104,1),(128,1)}
        20:{3,4,6}:{(7,1),(10,1),(35,1),(36,1),(37,1),(41,1),(70,1),(104,1)}
        21:{1,2,5,7}:{(8,1),(9,1),(34,1),(38,1),(71,1),(110,1),(129,1)}
        22:{1,3,6}:{(8,1),(10,1),(35,1),(38,1),(70,1),(100,1)}
        23:{2,3,6}:{(9,1),(10,1),(36,1),(38,1),(70,1),(99,1)}
        24:{3,5,6}:{(10,1),(11,1),(14,1),(37,1),(41,1)}
        25:{1,2,6,7}:{(12,1),(13,1),(38,1),(42,1),(99,1),(100,1),(110,1),(125,1)}
        26:{1,3,5,7}:{(12,1),(14,1),(31,1),(39,1),(42,1),(43,1),(66,1),(68,1),(77,1)}
        27:{2,3,5,7}:{(13,1),(14,1),(32,1),(40,1),(42,1),(44,1),(66,1),(69,1),(77,1)}
        28:{4,7}:{(14,1),(41,1),(139,1)}
        29:{3,5,6}:{(17,1),(45,1),(46,1),(47,1),(82,1),(83,1)}
        30:{1,2,4,6,7}:{(15,1),(16,1),(25,1),(48,1),(49,1),(53,1),(60,1),(81,1),(84,1)}
        31:{1,5,7}:{(15,1),(17,1),(45,1),(54,1),(130,1)}
        32:{2,5,7}:{(16,1),(17,1),(46,1),(55,1),(131,1)}
        33:{4,5,7}:{(17,1),(28,1),(47,1),(56,1),(84,1),(111,1)}
        34:{1,2,4,7}:{(18,1),(19,1),(21,1),(52,1),(53,1),(134,1)}
        35:{1,4,6}:{(18,1),(20,1),(22,1),(54,1)}
        36:{2,4,6}:{(19,1),(20,1),(23,1),(55,1)}
        37:{3,5}:{(20,1),(54,1),(55,1),(56,1)}
        38:{1,2,6}:{(21,1),(22,1),(23,1)}
        39:{1,3,5,6}:{(22,1),(24,1),(26,1),(45,1),(54,1),(57,1),(58,1),(80,1),(82,1),(88,1),(90,1),(92,1),(113,1),(119,1),(130,1),(138,1)}
        40:{2,3,5,6}:{(23,1),(24,1),(27,1),(46,1),(55,1),(57,1),(59,1),(80,1),(83,1),(88,1),(91,1),(92,1),(114,1),(120,1),(131,1),(138,1)}
        41:{4,6}:{(24,1),(28,1),(56,1)}
        42:{1,2,5,7}:{(25,1),(26,1),(27,1),(57,1),(60,1),(86,1),(87,1)}
        43:{1,4,7}:{(26,1),(28,1),(58,1),(61,1),(84,1)}
        44:{2,4,7}:{(27,1),(28,1),(59,1),(62,1),(84,1)}
        45:{1,5,6}:{(29,1),(31,1),(64,1),(100,1)}
        46:{2,5,6}:{(29,1),(32,1),(65,1),(99,1)}
        47:{4,6}:{(29,1),(33,1)}
        48:{3,6,7}:{(30,1),(66,1),(70,1),(77,1),(98,1)}
        49:{1,2,5,7}:{(30,1),(31,1),(32,1),(63,1),(66,1),(71,1)}
        50:{1,4,5,7}:{(31,1),(33,1),(43,1),(64,1),(68,1),(72,1)}
        51:{2,4,5,7}:{(32,1),(33,1),(44,1),(65,1),(69,1),(73,1)}
        52:{3,7}:{(34,1),(70,1),(137,1)}
        53:{1,2,4,6}:{(34,1),(35,1),(36,1),(38,1),(70,1),(71,1),(104,1)}
        54:{1,5}:{(35,1),(37,1)}
        55:{2,5}:{(36,1),(37,1)}
        56:{4,5}:{(37,1),(41,1),(104,1)}
        57:{1,2,5,6}:{(38,1),(39,1),(40,1),(42,1),(71,1),(74,1),(99,1),(100,1),(106,1),(107,1),(125,1),(129,1),(135,1)}
        58:{1,4,6}:{(39,1),(41,1),(43,1),(72,1),(75,1),(97,1),(104,1),(127,1),(139,1)}
        59:{2,4,6}:{(40,1),(41,1),(44,1),(73,1),(76,1),(97,1),(104,1),(128,1),(139,1)}
        60:{1,2,4,7}:{(42,1),(43,1),(44,1),(74,1),(77,1),(78,1),(79,1),(110,1)}
        61:{3,4,7}:{(43,1),(68,1),(75,1),(77,1),(78,1)}
        62:{3,4,7}:{(44,1),(69,1),(76,1),(77,1),(79,1)}
        63:{1,2,5,6}:{(45,1),(46,1),(49,1),(80,1),(81,1),(130,1),(131,1)}
        64:{1,4,6}:{(45,1),(47,1),(50,1),(82,1)}
        65:{2,4,6}:{(46,1),(47,1),(51,1),(83,1)}
        66:{3,5,7}:{(48,1),(49,1),(80,1),(84,1),(88,1)}
        67:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(60,1),(81,1),(84,1),(85,1),(86,1),(87,1),(89,1),(111,1),(115,1),(116,1),(117,1),(130,1),(131,1)}
        68:{3,5,7}:{(50,1),(61,1),(82,1),(86,1),(90,1)}
        69:{3,5,7}:{(51,1),(62,1),(83,1),(87,1),(91,1)}
        70:{3,6}:{(52,1),(53,1),(88,1)}
        71:{1,2,5}:{(53,1),(54,1),(55,1),(88,1)}
        72:{1,4,5}:{(54,1),(56,1),(58,1),(90,1),(111,1),(130,1)}
        73:{2,4,5}:{(55,1),(56,1),(59,1),(91,1),(111,1),(131,1)}
        74:{1,2,4,6}:{(57,1),(58,1),(59,1),(60,1),(89,1),(92,1),(93,1),(94,1),(121,1),(134,1)}
        75:{3,4,6}:{(58,1),(61,1),(82,1),(90,1),(92,1),(93,1),(118,1)}
        76:{3,4,6}:{(59,1),(62,1),(83,1),(91,1),(92,1),(94,1),(118,1)}
        77:{3,7}:{(60,1),(92,1)}
        78:{2,4,7}:{(61,1),(86,1),(93,1),(96,1)}
        79:{1,4,7}:{(62,1),(87,1),(94,1),(95,1)}
        80:{3,5,6}:{(63,1),(66,1),(97,1),(98,1),(122,1)}
        81:{1,2,4,6}:{(63,1),(64,1),(65,1),(67,1),(97,1),(98,1),(99,1),(100,1),(123,1),(124,1),(125,1)}
        82:{3,6}:{(64,1),(68,1),(99,1)}
        83:{3,6}:{(65,1),(69,1),(100,1)}
        84:{4,7}:{(66,1),(97,1),(104,1)}
        85:{3,5,7}:{(67,1),(77,1),(98,1),(101,1),(105,1),(122,1)}
        86:{2,5,7}:{(68,1),(78,1),(99,1),(106,1)}
        87:{1,5,7}:{(69,1),(79,1),(100,1),(107,1)}
        88:{3,5}:{(70,1),(71,1),(104,1)}
        89:{1,2,4,5}:{(71,1),(72,1),(73,1),(74,1),(104,1),(105,1),(106,1),(107,1),(127,1),(128,1),(129,1),(135,1),(139,1)}
        90:{3,5}:{(72,1),(75,1),(106,1)}
        91:{3,5}:{(73,1),(76,1),(107,1)}
        92:{3,6}:{(74,1),(77,1),(105,1),(137,1)}
        93:{2,4,6}:{(75,1),(78,1),(99,1),(106,1),(109,1),(128,1)}
        94:{1,4,6}:{(76,1),(79,1),(100,1),(107,1),(108,1),(127,1)}
        95:{1,3,7}:{(77,1),(79,1),(108,1),(110,1)}
        96:{2,3,7}:{(77,1),(78,1),(109,1),(110,1)}
        97:{4,6}:{(80,1),(84,1),(111,1)}
        98:{3,6}:{(81,1),(85,1)}
        99:{2,6}:{(82,1),(86,1)}
       100:{1,6}:{(83,1),(87,1)}
       101:{3,4,7}:{(84,1),(85,1),(112,1),(115,1),(116,1),(118,1),(133,1)}
       102:{1,3,5,7}:{(85,1),(87,1),(95,1),(113,1),(115,1),(117,1),(119,1),(130,1),(133,1),(138,1)}
       103:{2,3,5,7}:{(85,1),(86,1),(96,1),(114,1),(116,1),(117,1),(120,1),(131,1),(133,1),(138,1)}
       104:{4}:{(88,1)}
       105:{3,5}:{(89,1),(92,1),(118,1)}
       106:{2,5}:{(90,1),(93,1)}
       107:{1,5}:{(91,1),(94,1)}
       108:{1,3,6}:{(92,1),(94,1),(95,1),(119,1),(121,1)}
       109:{2,3,6}:{(92,1),(93,1),(96,1),(120,1),(121,1)}
       110:{1,2,7}:{(95,1),(96,1),(121,1)}
       111:{4,5}:{(97,1),(122,1),(139,1)}
       112:{3,4,6}:{(97,1),(98,1),(101,1),(122,1),(123,1),(124,1),(136,1),(139,1)}
       113:{1,3,6}:{(98,1),(100,1),(102,1),(123,1),(125,1),(136,1)}
       114:{2,3,6}:{(98,1),(99,1),(103,1),(124,1),(125,1),(136,1)}
       115:{1,4,7}:{(101,1),(102,1),(123,1),(127,1),(139,1)}
       116:{2,4,7}:{(101,1),(103,1),(124,1),(128,1),(139,1)}
       117:{1,2,5,7}:{(102,1),(103,1),(110,1),(125,1),(126,1),(129,1),(135,1)}
       118:{3,4}:{(104,1),(105,1),(127,1),(128,1),(137,1),(139,1)}
       119:{1,3,5}:{(105,1),(107,1),(108,1),(127,1),(129,1),(137,1)}
       120:{2,3,5}:{(105,1),(106,1),(109,1),(128,1),(129,1),(137,1)}
       121:{1,2,6}:{(108,1),(109,1),(110,1),(129,1)}
       122:{3,5}:{(111,1),(112,1),(130,1),(131,1)}
       123:{1,4,6}:{(112,1),(113,1),(115,1),(130,1)}
       124:{2,4,6}:{(112,1),(114,1),(116,1),(131,1)}
       125:{1,2,6}:{(113,1),(114,1),(117,1)}
       126:{1,2,4,7}:{(115,1),(116,1),(117,1),(132,1),(133,1),(134,1)}
       127:{1,4}:{(118,1),(119,1)}
       128:{2,4}:{(118,1),(120,1)}
       129:{1,2,5}:{(119,1),(120,1),(121,1),(134,1)}
       130:{1,5}:{(122,1),(123,1)}
       131:{2,5}:{(122,1),(124,1)}
       132:{1,2,4,6}:{(123,1),(124,1),(125,1),(126,1),(135,1),(136,1),(139,1)}
       133:{3,7}:{(126,1),(136,1),(137,1)}
       134:{1,2,4}:{(127,1),(128,1),(129,1),(137,1)}
       135:{1,2,5}:{(130,1),(131,1),(132,1),(138,1)}
       136:{3,6}:{(132,1),(133,1),(138,1)}
       137:{3}:{(134,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{4}:{(138,1)}

 461 :   0:{1,2,5,6,7}:{(1,1),(2,1),(23,1),(24,1),(48,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(5,1),(13,1),(64,1)}
         2:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(15,1),(20,1),(63,1)}
         3:{4,6,7}:{(1,1),(6,1),(80,1)}
         4:{1,2,4,5,7}:{(2,1),(6,1),(8,1),(9,1),(23,1),(24,1),(29,1),(30,1),(31,1)}
         5:{3,6,7}:{(2,1),(9,1),(79,1)}
         6:{4,5,7}:{(3,1),(12,1),(13,1),(68,1),(92,1)}
         7:{3,4,6,7}:{(3,1),(5,1),(13,1),(14,1),(15,1),(17,1),(32,1),(38,1),(68,1),(91,1)}
         8:{1,2,4,5,6}:{(4,1),(12,1),(16,1),(33,1),(34,1),(40,1),(41,1),(42,1),(63,1),(71,1),(92,1),(103,1),(104,1)}
         9:{3,5,7}:{(4,1),(5,1),(16,1),(17,1)}
        10:{1,3,6,7}:{(5,1),(14,1),(18,1),(20,1),(38,1),(61,1),(90,1)}
        11:{2,3,6,7}:{(5,1),(15,1),(19,1),(20,1),(38,1),(62,1),(89,1)}
        12:{4,5,6}:{(6,1),(21,1),(80,1)}
        13:{3,5,7}:{(6,1),(7,1),(21,1),(23,1),(24,1),(100,1)}
        14:{1,4,6,7}:{(7,1),(10,1),(23,1),(29,1),(46,1),(99,1)}
        15:{2,4,6,7}:{(7,1),(11,1),(24,1),(30,1),(47,1),(98,1)}
        16:{3,5,6}:{(8,1),(9,1),(26,1),(79,1),(86,1),(100,1)}
        17:{3,4,7}:{(9,1),(26,1),(29,1),(30,1),(60,1)}
        18:{1,3,5,7}:{(9,1),(10,1),(23,1),(27,1),(29,1),(31,1),(52,1),(60,1)}
        19:{2,3,5,7}:{(9,1),(11,1),(24,1),(28,1),(30,1),(31,1),(52,1),(60,1)}
        20:{1,2,6,7}:{(10,1),(11,1),(31,1),(77,1),(78,1)}
        21:{3,5,6}:{(12,1),(13,1),(32,1),(33,1),(34,1)}
        22:{3,4,5,7}:{(13,1),(17,1),(32,1),(35,1),(36,1),(39,1),(67,1),(68,1),(92,1)}
        23:{1,5,7}:{(13,1),(14,1),(33,1),(104,1)}
        24:{2,5,7}:{(13,1),(15,1),(34,1),(103,1)}
        25:{1,2,4,6,7}:{(14,1),(15,1),(20,1),(37,1),(38,1),(45,1),(63,1),(68,1)}
        26:{3,4,6}:{(16,1),(17,1),(39,1),(40,1),(41,1),(74,1),(97,1)}
        27:{1,3,5,6}:{(16,1),(18,1),(33,1),(40,1),(42,1),(61,1),(64,1),(69,1),(74,1),(90,1),(96,1),(104,1)}
        28:{2,3,5,6}:{(16,1),(19,1),(34,1),(41,1),(42,1),(62,1),(64,1),(70,1),(74,1),(89,1),(95,1),(103,1)}
        29:{1,4,7}:{(17,1),(18,1),(40,1),(68,1)}
        30:{2,4,7}:{(17,1),(19,1),(41,1),(68,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(20,1),(42,1),(45,1)}
        32:{3,4,6}:{(21,1),(22,1),(46,1),(47,1),(79,1),(80,1)}
        33:{1,5,6}:{(21,1),(23,1),(46,1)}
        34:{2,5,6}:{(21,1),(24,1),(47,1)}
        35:{1,4,5,7}:{(22,1),(23,1),(29,1),(46,1),(49,1),(53,1)}
        36:{2,4,5,7}:{(22,1),(24,1),(30,1),(47,1),(50,1),(54,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(25,1),(48,1),(52,1)}
        38:{3,6,7}:{(25,1),(52,1),(60,1),(79,1)}
        39:{3,4,5}:{(26,1),(53,1),(54,1),(86,1),(100,1)}
        40:{1,4,6}:{(26,1),(27,1),(29,1),(53,1),(80,1),(102,1)}
        41:{2,4,6}:{(26,1),(28,1),(30,1),(54,1),(80,1),(101,1)}
        42:{1,2,5,6}:{(27,1),(28,1),(31,1),(57,1),(77,1),(78,1),(84,1),(85,1)}
        43:{1,3,4,7}:{(29,1),(49,1),(55,1),(58,1),(60,1),(83,1)}
        44:{2,3,4,7}:{(30,1),(50,1),(56,1),(59,1),(60,1),(83,1)}
        45:{1,2,4,7}:{(29,1),(30,1),(31,1),(57,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(35,1),(61,1)}
        47:{2,4,6}:{(32,1),(34,1),(36,1),(62,1)}
        48:{1,2,5,6}:{(33,1),(34,1),(37,1),(63,1),(64,1),(103,1),(104,1)}
        49:{1,3,5,7}:{(35,1),(43,1),(61,1),(65,1),(67,1),(69,1)}
        50:{2,3,5,7}:{(36,1),(44,1),(62,1),(66,1),(67,1),(70,1)}
        51:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(45,1),(63,1),(65,1),(66,1),(67,1),(68,1),(71,1),(92,1),(93,1),(94,1),(103,1),(104,1)}
        52:{3,5,7}:{(37,1),(38,1),(64,1),(68,1)}
        53:{1,4,5}:{(39,1),(40,1),(69,1),(92,1),(104,1)}
        54:{2,4,5}:{(39,1),(41,1),(70,1),(92,1),(103,1)}
        55:{1,3,4,6}:{(40,1),(43,1),(61,1),(69,1),(72,1),(74,1),(91,1),(97,1)}
        56:{2,3,4,6}:{(41,1),(44,1),(62,1),(70,1),(73,1),(74,1),(91,1),(97,1)}
        57:{1,2,4,6}:{(40,1),(41,1),(42,1),(45,1),(71,1),(74,1)}
        58:{1,2,4,7}:{(43,1),(65,1),(72,1),(75,1),(93,1)}
        59:{1,2,4,7}:{(44,1),(66,1),(73,1),(76,1),(94,1)}
        60:{3,7}:{(45,1),(74,1)}
        61:{1,3,6}:{(46,1),(49,1),(77,1),(79,1)}
        62:{2,3,6}:{(47,1),(50,1),(78,1),(79,1)}
        63:{1,2,4,6}:{(46,1),(47,1),(48,1),(51,1),(77,1),(78,1),(79,1),(80,1),(98,1),(99,1)}
        64:{3,5,6}:{(48,1),(52,1),(79,1),(80,1),(100,1)}
        65:{1,2,5,7}:{(49,1),(58,1),(77,1),(81,1),(84,1)}
        66:{1,2,5,7}:{(50,1),(59,1),(78,1),(82,1),(85,1)}
        67:{3,5,7}:{(51,1),(60,1),(79,1),(83,1),(86,1),(100,1)}
        68:{4,7}:{(52,1),(80,1)}
        69:{1,3,5}:{(53,1),(55,1),(84,1),(86,1),(100,1)}
        70:{2,3,5}:{(54,1),(56,1),(85,1),(86,1),(100,1)}
        71:{1,2,4,5}:{(53,1),(54,1),(57,1),(84,1),(85,1),(86,1),(101,1),(102,1)}
        72:{1,2,4,6}:{(55,1),(58,1),(77,1),(84,1),(87,1),(98,1),(101,1)}
        73:{1,2,4,6}:{(56,1),(59,1),(78,1),(85,1),(88,1),(99,1),(102,1)}
        74:{3,6}:{(57,1),(60,1),(86,1)}
        75:{2,3,7}:{(58,1),(60,1),(87,1)}
        76:{1,3,7}:{(59,1),(60,1),(88,1)}
        77:{1,2,6}:{(61,1),(65,1),(89,1)}
        78:{1,2,6}:{(62,1),(66,1),(90,1)}
        79:{3,6}:{(63,1),(67,1)}
        80:{4,6}:{(64,1),(68,1),(92,1)}
        81:{2,3,5,7}:{(65,1),(67,1),(75,1),(89,1),(93,1),(95,1),(103,1)}
        82:{1,3,5,7}:{(66,1),(67,1),(76,1),(90,1),(94,1),(96,1),(104,1)}
        83:{3,4,7}:{(67,1),(68,1),(91,1),(93,1),(94,1),(97,1)}
        84:{1,2,5}:{(69,1),(72,1),(95,1),(103,1)}
        85:{1,2,5}:{(70,1),(73,1),(96,1),(104,1)}
        86:{3,5}:{(71,1),(74,1),(97,1)}
        87:{2,3,6}:{(72,1),(74,1),(75,1),(95,1)}
        88:{1,3,6}:{(73,1),(74,1),(76,1),(96,1)}
        89:{2,3,6}:{(77,1),(79,1),(81,1),(98,1)}
        90:{1,3,6}:{(78,1),(79,1),(82,1),(99,1)}
        91:{3,4,6}:{(79,1),(80,1),(83,1),(98,1),(99,1),(100,1)}
        92:{4,5}:{(80,1),(100,1)}
        93:{2,4,7}:{(81,1),(83,1),(98,1),(101,1)}
        94:{1,4,7}:{(82,1),(83,1),(99,1),(102,1)}
        95:{2,3,5}:{(84,1),(86,1),(87,1),(101,1)}
        96:{1,3,5}:{(85,1),(86,1),(88,1),(102,1)}
        97:{3,4}:{(86,1),(101,1),(102,1)}
        98:{2,4,6}:{(89,1),(91,1),(93,1),(103,1)}
        99:{1,4,6}:{(90,1),(91,1),(94,1),(104,1)}
       100:{3,5}:{(91,1),(92,1),(103,1),(104,1)}
       101:{2,4}:{(95,1),(97,1)}
       102:{1,4}:{(96,1),(97,1)}
       103:{2,5}:{(98,1),(100,1)}
       104:{1,5}:{(99,1),(100,1)}

 462 :   0:{1,3,6,7}:{(2,1),(4,1),(5,1),(20,1),(76,1),(118,1),(145,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(24,1),(27,1),(29,1),(63,1),(68,1),(76,1),(118,1),(151,1),(168,1)}
         2:{1,2,6,7}:{(0,1),(7,1),(10,1),(101,1),(125,1),(139,1),(159,1)}
         3:{1,2,5,6}:{(1,1),(8,1),(10,1),(11,1),(51,1),(83,1),(97,1),(101,1),(125,1),(139,1),(162,1)}
         4:{1,4,6,7}:{(0,1),(12,1),(13,1),(15,1),(49,1),(133,1),(135,1),(140,1)}
         5:{1,3,5,7}:{(0,1),(1,1),(10,1),(13,1),(15,1),(39,1),(43,1),(50,1)}
         6:{1,4,6}:{(1,1),(14,1),(15,1),(16,1),(90,1),(92,1),(172,1)}
         7:{2,3,6,7}:{(2,1),(17,1),(18,1),(20,1),(105,1),(119,1),(146,1)}
         8:{2,3,5,6}:{(3,1),(18,1),(19,1),(24,1),(55,1),(57,1),(63,1),(69,1),(105,1),(119,1),(152,1),(168,1)}
         9:{1,2,4,6,7}:{(2,1),(4,1),(17,1),(20,1),(21,1),(23,1),(25,1),(53,1),(60,1),(64,1),(66,1),(108,1),(153,1)}
        10:{1,2,5,7}:{(2,1),(3,1),(5,1),(18,1),(23,1),(77,1),(106,1)}
        11:{1,2,4,6}:{(3,1),(6,1),(19,1),(22,1),(23,1),(24,1),(31,1),(59,1),(72,1),(117,1)}
        12:{3,4,6,7}:{(4,1),(20,1),(25,1),(26,1),(30,1),(64,1),(75,1),(76,1),(112,1),(114,1),(121,1)}
        13:{1,5,7}:{(4,1),(26,1),(27,1),(151,1)}
        14:{1,4,5}:{(6,1),(29,1),(113,1),(151,1)}
        15:{1,4,7}:{(5,1),(6,1),(30,1),(64,1)}
        16:{3,4,6}:{(6,1),(24,1),(29,1),(30,1),(31,1),(65,1),(76,1)}
        17:{2,4,6,7}:{(7,1),(32,1),(33,1),(35,1),(81,1),(130,1),(136,1),(155,1)}
        18:{2,3,5,7}:{(7,1),(8,1),(10,1),(33,1),(35,1),(39,1),(43,1),(82,1)}
        19:{2,4,6}:{(8,1),(34,1),(35,1),(36,1),(90,1),(93,1),(172,1)}
        20:{3,6,7}:{(9,1),(39,1),(43,1),(94,1),(127,1),(163,1)}
        21:{1,2,5,7}:{(9,1),(13,1),(33,1),(39,1),(40,1),(46,1),(78,1),(162,1)}
        22:{1,2,4,5}:{(11,1),(14,1),(34,1),(42,1),(51,1),(83,1),(92,1),(93,1),(97,1),(162,1),(172,1)}
        23:{1,2,4,7}:{(10,1),(11,1),(15,1),(35,1),(43,1),(52,1),(84,1),(98,1)}
        24:{3,6}:{(11,1),(42,1),(43,1),(138,1)}
        25:{2,4,6,7}:{(12,1),(38,1),(46,1),(52,1),(89,1),(99,1),(101,1),(136,1)}
        26:{3,5,7}:{(12,1),(13,1),(46,1),(47,1),(48,1),(134,1)}
        27:{1,5,6}:{(13,1),(47,1),(49,1),(140,1)}
        28:{1,4,5,7}:{(13,1),(14,1),(15,1),(48,1),(49,1),(50,1)}
        29:{3,5}:{(14,1),(16,1),(51,1)}
        30:{3,4,7}:{(15,1),(16,1),(43,1),(50,1),(52,1)}
        31:{2,4,6}:{(16,1),(45,1),(51,1),(52,1),(93,1),(101,1)}
        32:{3,4,6,7}:{(17,1),(20,1),(53,1),(54,1),(58,1),(64,1),(104,1),(105,1),(110,1),(114,1),(141,1)}
        33:{2,5,7}:{(17,1),(54,1),(55,1),(152,1)}
        34:{2,4,5}:{(19,1),(57,1),(113,1),(152,1)}
        35:{2,4,7}:{(18,1),(19,1),(58,1),(64,1)}
        36:{3,4,6}:{(19,1),(24,1),(57,1),(58,1),(59,1),(65,1),(105,1)}
        37:{1,3,6,7}:{(20,1),(53,1),(60,1),(61,1),(70,1),(118,1),(141,1)}
        38:{2,3,6,7}:{(20,1),(25,1),(60,1),(62,1),(71,1),(119,1),(121,1)}
        39:{3,5,7}:{(20,1),(21,1),(63,1),(64,1),(168,1)}
        40:{1,2,5,6}:{(21,1),(27,1),(55,1),(63,1),(66,1),(73,1),(102,1),(151,1),(152,1)}
        41:{1,2,4,5,7}:{(21,1),(22,1),(23,1),(28,1),(56,1),(64,1),(66,1),(67,1),(74,1),(77,1),(103,1),(106,1),(108,1),(113,1),(115,1),(116,1),(120,1),(122,1),(142,1),(143,1),(151,1),(152,1)}
        42:{3,5}:{(22,1),(24,1),(65,1)}
        43:{3,7}:{(23,1),(24,1)}
        44:{1,3,6}:{(24,1),(59,1),(68,1),(70,1),(72,1)}
        45:{2,3,6}:{(24,1),(31,1),(69,1),(71,1),(72,1)}
        46:{2,5,7}:{(25,1),(26,1),(73,1),(152,1)}
        47:{3,5,6}:{(26,1),(27,1),(73,1),(75,1),(76,1),(121,1)}
        48:{4,5,7}:{(26,1),(64,1),(75,1),(113,1)}
        49:{1,4,6}:{(27,1),(28,1),(75,1),(76,1)}
        50:{3,5,7}:{(28,1),(29,1),(30,1),(76,1),(77,1)}
        51:{2,5}:{(29,1),(31,1)}
        52:{2,4,7}:{(30,1),(31,1),(71,1),(77,1)}
        53:{1,4,6,7}:{(32,1),(37,1),(78,1),(84,1),(87,1),(123,1),(125,1),(135,1)}
        54:{3,5,7}:{(32,1),(33,1),(78,1),(79,1),(80,1),(134,1)}
        55:{2,5,6}:{(33,1),(79,1),(81,1),(155,1)}
        56:{2,4,5,7}:{(33,1),(34,1),(35,1),(80,1),(81,1),(82,1)}
        57:{3,5}:{(34,1),(36,1),(83,1)}
        58:{3,4,7}:{(35,1),(36,1),(43,1),(82,1),(84,1)}
        59:{1,4,6}:{(36,1),(44,1),(83,1),(84,1),(92,1),(125,1)}
        60:{1,2,6,7}:{(37,1),(38,1),(85,1),(98,1),(139,1),(140,1),(155,1)}
        61:{1,3,5,7}:{(37,1),(39,1),(78,1),(85,1),(86,1),(87,1),(124,1),(127,1)}
        62:{2,3,5,7}:{(38,1),(39,1),(46,1),(85,1),(88,1),(89,1),(100,1),(127,1)}
        63:{3,5,6}:{(39,1),(40,1),(90,1),(94,1),(134,1)}
        64:{4,7}:{(39,1),(90,1),(172,1)}
        65:{3,4}:{(42,1),(92,1),(93,1),(138,1),(172,1)}
        66:{1,2,4,6}:{(40,1),(41,1),(49,1),(81,1),(90,1),(94,1),(99,1),(101,1),(123,1),(125,1),(135,1),(136,1),(139,1),(140,1),(155,1)}
        67:{3,5,7}:{(41,1),(42,1),(43,1),(91,1),(94,1),(127,1),(134,1),(156,1)}
        68:{1,3,5}:{(42,1),(44,1),(83,1),(92,1),(97,1),(138,1)}
        69:{2,3,5}:{(42,1),(45,1),(51,1),(93,1),(97,1),(138,1)}
        70:{1,3,7}:{(43,1),(44,1),(84,1),(98,1)}
        71:{2,3,7}:{(43,1),(45,1),(52,1),(98,1)}
        72:{1,2,6}:{(44,1),(45,1),(97,1),(98,1)}
        73:{2,5,6}:{(46,1),(47,1),(99,1),(101,1)}
        74:{2,4,5,7}:{(46,1),(48,1),(89,1),(99,1),(100,1),(131,1)}
        75:{4,6}:{(47,1),(48,1)}
        76:{3,6}:{(49,1),(50,1),(101,1)}
        77:{2,5,7}:{(50,1),(51,1),(52,1),(101,1)}
        78:{1,5,7}:{(53,1),(54,1),(102,1),(151,1)}
        79:{3,5,6}:{(54,1),(55,1),(102,1),(104,1),(105,1),(141,1)}
        80:{4,5,7}:{(54,1),(64,1),(104,1),(113,1)}
        81:{2,4,6}:{(55,1),(56,1),(104,1),(105,1)}
        82:{3,5,7}:{(56,1),(57,1),(58,1),(105,1),(106,1)}
        83:{1,5}:{(57,1),(59,1)}
        84:{1,4,7}:{(58,1),(59,1),(70,1),(106,1)}
        85:{1,2,5,7}:{(60,1),(61,1),(62,1),(107,1),(108,1),(122,1),(142,1)}
        86:{1,3,5,6}:{(61,1),(63,1),(102,1),(107,1),(109,1),(118,1),(141,1),(144,1),(147,1),(151,1),(165,1),(168,1)}
        87:{1,4,7}:{(61,1),(64,1),(109,1),(110,1)}
        88:{2,3,5,6}:{(62,1),(63,1),(73,1),(107,1),(111,1),(119,1),(121,1),(144,1),(149,1),(152,1),(166,1),(168,1)}
        89:{2,4,7}:{(62,1),(64,1),(111,1),(112,1)}
        90:{4,6}:{(63,1),(64,1),(113,1)}
        91:{3,4,7}:{(64,1),(65,1),(67,1),(114,1),(115,1),(116,1),(154,1),(164,1)}
        92:{1,4}:{(65,1),(68,1)}
        93:{2,4}:{(65,1),(69,1)}
        94:{3,6}:{(66,1),(67,1)}
        95:{1,3,5,7}:{(67,1),(68,1),(70,1),(106,1),(115,1),(118,1),(120,1),(122,1),(145,1),(151,1),(154,1),(165,1),(168,1)}
        96:{2,3,5,7}:{(67,1),(69,1),(71,1),(77,1),(116,1),(119,1),(120,1),(142,1),(146,1),(152,1),(154,1),(166,1),(168,1)}
        97:{1,2,5}:{(68,1),(69,1),(72,1),(117,1)}
        98:{1,2,7}:{(70,1),(71,1),(72,1)}
        99:{2,4,6}:{(73,1),(74,1),(75,1),(121,1)}
       100:{3,5,7}:{(74,1),(112,1),(121,1),(122,1),(149,1)}
       101:{2,6}:{(76,1),(77,1)}
       102:{1,5,6}:{(78,1),(79,1),(123,1),(125,1)}
       103:{1,4,5,7}:{(78,1),(80,1),(87,1),(123,1),(124,1),(128,1)}
       104:{4,6}:{(79,1),(80,1)}
       105:{3,6}:{(81,1),(82,1),(125,1)}
       106:{1,5,7}:{(82,1),(83,1),(84,1),(125,1)}
       107:{1,2,5,6}:{(85,1),(86,1),(88,1),(126,1),(139,1),(140,1),(155,1),(160,1),(161,1),(162,1),(171,1)}
       108:{1,2,4,7}:{(85,1),(87,1),(89,1),(126,1),(127,1),(130,1),(133,1),(159,1)}
       109:{1,4,6}:{(86,1),(87,1),(90,1),(128,1),(129,1),(169,1),(172,1)}
       110:{3,4,7}:{(87,1),(124,1),(127,1),(129,1),(130,1)}
       111:{2,4,6}:{(88,1),(89,1),(90,1),(131,1),(132,1),(170,1),(172,1)}
       112:{3,4,7}:{(89,1),(100,1),(127,1),(132,1),(133,1)}
       113:{4,5}:{(90,1),(134,1),(172,1)}
       114:{3,4,6}:{(90,1),(91,1),(94,1),(134,1),(135,1),(136,1),(163,1),(172,1)}
       115:{1,4,7}:{(91,1),(92,1),(95,1),(135,1),(169,1),(172,1)}
       116:{2,4,7}:{(91,1),(93,1),(96,1),(136,1),(170,1),(172,1)}
       117:{1,2,4}:{(92,1),(93,1),(97,1),(138,1)}
       118:{1,3,6}:{(94,1),(95,1),(125,1),(135,1),(139,1),(140,1),(163,1)}
       119:{2,3,6}:{(94,1),(96,1),(101,1),(136,1),(139,1),(155,1),(163,1)}
       120:{1,2,5,7}:{(95,1),(96,1),(97,1),(98,1),(137,1),(139,1),(159,1),(162,1),(171,1)}
       121:{3,6}:{(99,1),(100,1),(140,1)}
       122:{1,5,7}:{(100,1),(133,1),(140,1),(161,1)}
       123:{1,4,6}:{(102,1),(103,1),(104,1),(141,1)}
       124:{3,5,7}:{(103,1),(110,1),(141,1),(142,1),(147,1)}
       125:{1,6}:{(105,1),(106,1)}
       126:{1,2,4,6}:{(107,1),(108,1),(109,1),(111,1),(143,1),(144,1),(148,1),(150,1),(167,1),(173,1)}
       127:{3,7}:{(108,1),(144,1)}
       128:{1,4,5}:{(109,1),(113,1),(147,1),(151,1)}
       129:{3,4,6}:{(109,1),(110,1),(141,1),(144,1),(147,1),(148,1),(164,1)}
       130:{2,4,7}:{(110,1),(142,1),(146,1),(148,1)}
       131:{2,4,5}:{(111,1),(113,1),(149,1),(152,1)}
       132:{3,4,6}:{(111,1),(112,1),(121,1),(144,1),(149,1),(150,1),(164,1)}
       133:{1,4,7}:{(112,1),(122,1),(145,1),(150,1)}
       134:{3,5}:{(113,1),(114,1),(151,1),(152,1)}
       135:{1,4,6}:{(114,1),(115,1),(118,1),(151,1)}
       136:{2,4,6}:{(114,1),(116,1),(119,1),(152,1)}
       137:{1,2,4,7}:{(115,1),(116,1),(117,1),(120,1),(153,1),(154,1),(173,1)}
       138:{3}:{(117,1)}
       139:{1,2,6}:{(118,1),(119,1),(120,1)}
       140:{1,6}:{(121,1),(122,1)}
       141:{3,6}:{(123,1),(124,1),(155,1)}
       142:{2,5,7}:{(124,1),(130,1),(155,1),(160,1)}
       143:{1,2,4,5}:{(126,1),(128,1),(131,1),(156,1),(160,1),(161,1),(162,1),(169,1),(170,1),(171,1),(172,1)}
       144:{3,6}:{(126,1),(127,1),(156,1),(174,1)}
       145:{1,3,7}:{(127,1),(133,1),(157,1),(159,1)}
       146:{2,3,7}:{(127,1),(130,1),(158,1),(159,1)}
       147:{3,5}:{(128,1),(129,1),(160,1)}
       148:{2,4,6}:{(129,1),(130,1),(155,1),(158,1),(160,1),(170,1)}
       149:{3,5}:{(131,1),(132,1),(161,1)}
       150:{1,4,6}:{(132,1),(133,1),(140,1),(157,1),(161,1),(169,1)}
       151:{1,5}:{(134,1),(135,1)}
       152:{2,5}:{(134,1),(136,1)}
       153:{1,2,4,6}:{(135,1),(136,1),(137,1),(139,1),(162,1),(163,1),(172,1)}
       154:{3,7}:{(137,1),(138,1),(163,1),(174,1)}
       155:{2,6}:{(141,1),(142,1)}
       156:{3,5}:{(143,1),(144,1),(164,1)}
       157:{1,3,6}:{(144,1),(145,1),(150,1),(165,1),(167,1)}
       158:{2,3,6}:{(144,1),(146,1),(148,1),(166,1),(167,1)}
       159:{1,2,7}:{(145,1),(146,1),(167,1)}
       160:{2,5}:{(147,1),(148,1)}
       161:{1,5}:{(149,1),(150,1)}
       162:{1,2,5}:{(151,1),(152,1),(153,1),(168,1)}
       163:{3,6}:{(153,1),(154,1),(168,1)}
       164:{3,4}:{(156,1),(169,1),(170,1),(172,1),(174,1)}
       165:{1,3,5}:{(156,1),(157,1),(161,1),(169,1),(171,1),(174,1)}
       166:{2,3,5}:{(156,1),(158,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,2,6}:{(157,1),(158,1),(159,1),(171,1)}
       168:{3,5}:{(162,1),(163,1),(172,1)}
       169:{1,4}:{(164,1),(165,1)}
       170:{2,4}:{(164,1),(166,1)}
       171:{1,2,5}:{(165,1),(166,1),(167,1),(173,1)}
       172:{4}:{(168,1)}
       173:{1,2,4}:{(169,1),(170,1),(171,1),(174,1)}
       174:{3}:{(173,1)}

 463 :   0:{1,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(16,1),(39,1),(44,1),(45,1),(85,1),(87,1),(120,1),(147,1)}
         1:{1,2,5,6}:{(0,1),(5,1),(6,1),(7,1),(24,1),(61,1),(66,1),(68,1),(105,1),(110,1),(135,1)}
         2:{1,4,6}:{(0,1),(4,1),(8,1),(9,1),(58,1),(108,1),(158,1)}
         3:{1,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(25,1),(33,1),(37,1),(77,1)}
         4:{1,4,5}:{(2,1),(12,1),(120,1),(122,1)}
         5:{2,3,5,6}:{(1,1),(14,1),(15,1),(16,1),(40,1),(46,1),(86,1),(87,1),(91,1),(92,1),(121,1),(147,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(14,1),(16,1),(17,1),(19,1),(48,1),(51,1),(80,1)}
         7:{1,2,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(43,1),(90,1)}
         8:{3,4,6}:{(2,1),(12,1),(16,1),(19,1),(20,1),(38,1),(44,1)}
         9:{1,4,7}:{(2,1),(3,1),(20,1),(98,1)}
        10:{1,3,6,7}:{(3,1),(18,1),(21,1),(44,1),(54,1),(85,1),(156,1)}
        11:{1,2,4,5}:{(4,1),(6,1),(22,1),(24,1),(27,1),(58,1),(59,1),(61,1),(68,1),(135,1),(158,1)}
        12:{3,5}:{(4,1),(8,1),(24,1)}
        13:{1,4,5,7}:{(4,1),(9,1),(25,1),(26,1),(37,1),(79,1)}
        14:{2,4,6}:{(5,1),(27,1),(28,1),(29,1),(59,1),(108,1),(158,1)}
        15:{2,3,5,7}:{(5,1),(7,1),(29,1),(30,1),(33,1),(69,1),(73,1),(77,1)}
        16:{3,6}:{(6,1),(22,1),(33,1),(100,1)}
        17:{1,2,4,7}:{(6,1),(7,1),(9,1),(29,1),(33,1),(35,1),(71,1),(74,1)}
        18:{1,2,6,7}:{(7,1),(10,1),(30,1),(66,1),(105,1),(110,1),(165,1)}
        19:{2,4,6}:{(8,1),(24,1),(32,1),(35,1),(59,1),(66,1)}
        20:{3,4,7}:{(8,1),(9,1),(25,1),(33,1),(35,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(26,1),(36,1),(37,1),(102,1),(141,1),(146,1)}
        22:{3,5}:{(11,1),(16,1),(38,1)}
        23:{1,2,4,5,7}:{(11,1),(13,1),(17,1),(41,1),(42,1),(43,1),(47,1),(55,1),(81,1),(82,1),(84,1),(90,1),(98,1),(99,1),(120,1),(121,1),(122,1),(129,1),(130,1),(133,1),(148,1),(155,1)}
        24:{2,5}:{(12,1),(19,1)}
        25:{3,5,7}:{(12,1),(13,1),(20,1),(43,1),(44,1)}
        26:{1,4,6}:{(13,1),(44,1),(45,1),(89,1)}
        27:{2,4,5}:{(14,1),(46,1),(121,1),(122,1)}
        28:{3,4,6}:{(14,1),(16,1),(38,1),(46,1),(48,1),(49,1),(91,1)}
        29:{2,4,7}:{(14,1),(15,1),(49,1),(98,1)}
        30:{2,3,6,7}:{(15,1),(18,1),(50,1),(54,1),(86,1),(91,1),(157,1)}
        31:{1,3,6}:{(16,1),(39,1),(48,1),(51,1),(52,1)}
        32:{2,3,6}:{(16,1),(19,1),(40,1),(51,1),(53,1)}
        33:{3,7}:{(16,1),(17,1)}
        34:{1,2,4,6,7}:{(17,1),(18,1),(21,1),(42,1),(50,1),(54,1),(55,1),(56,1),(93,1),(95,1),(98,1),(119,1),(130,1)}
        35:{2,4,7}:{(19,1),(20,1),(43,1),(53,1)}
        36:{3,4,6,7}:{(20,1),(21,1),(44,1),(54,1),(56,1),(57,1),(83,1),(89,1),(98,1),(126,1),(132,1)}
        37:{1,5,7}:{(21,1),(45,1),(57,1),(120,1)}
        38:{3,4}:{(22,1),(58,1),(59,1),(100,1),(158,1)}
        39:{1,3,5}:{(22,1),(31,1),(58,1),(61,1),(68,1),(100,1)}
        40:{2,3,5}:{(22,1),(24,1),(32,1),(59,1),(61,1),(100,1)}
        41:{3,5,7}:{(22,1),(23,1),(33,1),(60,1),(64,1),(104,1),(144,1),(159,1)}
        42:{1,2,4,6}:{(23,1),(26,1),(64,1),(65,1),(66,1),(70,1),(102,1),(103,1),(105,1),(108,1),(109,1),(110,1),(141,1),(142,1),(164,1)}
        43:{2,5,7}:{(24,1),(25,1),(35,1),(66,1)}
        44:{3,6}:{(25,1),(26,1),(66,1)}
        45:{1,5,6}:{(26,1),(37,1),(67,1),(141,1)}
        46:{3,5}:{(27,1),(28,1),(68,1)}
        47:{2,4,5,7}:{(27,1),(29,1),(69,1),(70,1),(73,1),(113,1)}
        48:{1,4,6}:{(28,1),(31,1),(58,1),(68,1),(71,1),(110,1)}
        49:{3,4,7}:{(28,1),(29,1),(33,1),(69,1),(71,1)}
        50:{2,4,6,7}:{(29,1),(30,1),(70,1),(72,1),(73,1),(103,1),(145,1),(164,1)}
        51:{1,2,6}:{(31,1),(32,1),(61,1),(74,1)}
        52:{1,3,7}:{(31,1),(33,1),(71,1),(74,1)}
        53:{2,3,7}:{(32,1),(33,1),(35,1),(74,1)}
        54:{3,6,7}:{(33,1),(34,1),(64,1),(77,1),(134,1),(144,1)}
        55:{1,2,5,7}:{(34,1),(37,1),(65,1),(73,1),(77,1),(78,1),(112,1),(135,1)}
        56:{2,4,6,7}:{(35,1),(36,1),(66,1),(76,1),(78,1),(103,1),(109,1),(116,1)}
        57:{3,5,7}:{(36,1),(37,1),(67,1),(78,1),(79,1),(104,1)}
        58:{1,4}:{(38,1),(39,1)}
        59:{2,4}:{(38,1),(40,1)}
        60:{3,4,7}:{(38,1),(41,1),(81,1),(82,1),(83,1),(98,1),(118,1),(166,1)}
        61:{1,2,5}:{(39,1),(40,1),(51,1),(80,1)}
        62:{1,3,5,7}:{(39,1),(41,1),(52,1),(81,1),(84,1),(85,1),(90,1),(118,1),(120,1),(133,1),(147,1),(156,1),(167,1)}
        63:{2,3,5,7}:{(40,1),(41,1),(43,1),(53,1),(82,1),(84,1),(86,1),(118,1),(121,1),(147,1),(155,1),(157,1),(168,1)}
        64:{3,6}:{(41,1),(42,1)}
        65:{1,2,5,6}:{(42,1),(45,1),(55,1),(87,1),(88,1),(92,1),(120,1),(121,1),(127,1)}
        66:{2,6}:{(43,1),(44,1)}
        67:{3,5,6}:{(44,1),(45,1),(57,1),(88,1),(89,1),(126,1)}
        68:{1,5}:{(46,1),(48,1)}
        69:{3,5,7}:{(46,1),(47,1),(49,1),(90,1),(91,1)}
        70:{2,4,6}:{(47,1),(91,1),(92,1),(128,1)}
        71:{1,4,7}:{(48,1),(49,1),(52,1),(90,1)}
        72:{3,4,6,7}:{(49,1),(50,1),(54,1),(83,1),(91,1),(93,1),(94,1),(98,1),(128,1),(131,1),(154,1)}
        73:{2,5,7}:{(50,1),(92,1),(94,1),(121,1)}
        74:{1,2,7}:{(51,1),(52,1),(53,1)}
        75:{1,3,6,7}:{(52,1),(54,1),(85,1),(93,1),(95,1),(96,1),(154,1)}
        76:{2,3,6,7}:{(53,1),(54,1),(56,1),(86,1),(95,1),(97,1),(126,1)}
        77:{3,5,7}:{(54,1),(55,1),(87,1),(98,1),(147,1)}
        78:{2,5,7}:{(56,1),(57,1),(88,1),(121,1)}
        79:{4,5,7}:{(57,1),(89,1),(98,1),(122,1)}
        80:{1,2,4}:{(58,1),(59,1),(61,1),(100,1)}
        81:{1,4,7}:{(58,1),(60,1),(62,1),(102,1),(158,1),(170,1)}
        82:{2,4,7}:{(59,1),(60,1),(63,1),(103,1),(158,1),(171,1)}
        83:{3,4,6}:{(60,1),(64,1),(102,1),(103,1),(104,1),(108,1),(134,1),(158,1)}
        84:{1,2,5,7}:{(61,1),(62,1),(63,1),(74,1),(101,1),(105,1),(135,1),(165,1),(172,1)}
        85:{1,3,6}:{(62,1),(64,1),(102,1),(105,1),(110,1),(134,1),(141,1)}
        86:{2,3,6}:{(63,1),(64,1),(66,1),(103,1),(105,1),(134,1),(164,1)}
        87:{3,5,6}:{(64,1),(65,1),(77,1),(104,1),(108,1)}
        88:{2,5,6}:{(66,1),(67,1),(78,1),(109,1)}
        89:{4,6}:{(67,1),(79,1)}
        90:{1,5,7}:{(68,1),(69,1),(71,1),(110,1)}
        91:{3,6}:{(69,1),(70,1),(110,1)}
        92:{2,5,6}:{(70,1),(73,1),(111,1),(164,1)}
        93:{1,4,6,7}:{(71,1),(72,1),(75,1),(102,1),(110,1),(112,1),(115,1),(142,1)}
        94:{3,5,7}:{(72,1),(73,1),(104,1),(111,1),(112,1),(113,1)}
        95:{1,2,6,7}:{(74,1),(75,1),(76,1),(105,1),(114,1),(141,1),(164,1)}
        96:{1,3,5,7}:{(75,1),(77,1),(106,1),(112,1),(114,1),(115,1),(143,1),(144,1)}
        97:{2,3,5,7}:{(76,1),(77,1),(78,1),(107,1),(114,1),(116,1),(117,1),(144,1)}
        98:{4,7}:{(77,1),(108,1),(158,1)}
        99:{2,4,5,7}:{(78,1),(79,1),(109,1),(116,1),(117,1),(137,1)}
       100:{3}:{(80,1)}
       101:{1,2,4,7}:{(80,1),(81,1),(82,1),(84,1),(118,1),(119,1),(173,1)}
       102:{1,4,6}:{(81,1),(83,1),(85,1),(120,1)}
       103:{2,4,6}:{(82,1),(83,1),(86,1),(121,1)}
       104:{3,5}:{(83,1),(120,1),(121,1),(122,1)}
       105:{1,2,6}:{(84,1),(85,1),(86,1)}
       106:{1,3,5,6}:{(85,1),(87,1),(96,1),(120,1),(123,1),(124,1),(127,1),(147,1),(149,1),(151,1),(154,1),(167,1)}
       107:{2,3,5,6}:{(86,1),(87,1),(88,1),(97,1),(121,1),(123,1),(125,1),(126,1),(147,1),(150,1),(151,1),(168,1)}
       108:{4,6}:{(87,1),(98,1),(122,1)}
       109:{2,4,6}:{(88,1),(89,1),(99,1),(126,1)}
       110:{1,6}:{(90,1),(91,1)}
       111:{3,5,6}:{(91,1),(92,1),(94,1),(127,1),(128,1),(154,1)}
       112:{1,5,7}:{(93,1),(94,1),(120,1),(127,1)}
       113:{4,5,7}:{(94,1),(98,1),(122,1),(128,1)}
       114:{1,2,5,7}:{(95,1),(96,1),(97,1),(123,1),(130,1),(133,1),(155,1)}
       115:{1,4,7}:{(96,1),(98,1),(124,1),(131,1)}
       116:{2,4,7}:{(97,1),(98,1),(125,1),(132,1)}
       117:{3,5,7}:{(99,1),(126,1),(132,1),(133,1),(150,1)}
       118:{3,7}:{(100,1),(101,1),(134,1),(174,1)}
       119:{1,2,4,6}:{(101,1),(102,1),(103,1),(105,1),(134,1),(135,1),(158,1)}
       120:{1,5}:{(102,1),(104,1)}
       121:{2,5}:{(103,1),(104,1)}
       122:{4,5}:{(104,1),(108,1),(158,1)}
       123:{1,2,5,6}:{(105,1),(106,1),(107,1),(114,1),(135,1),(138,1),(141,1),(160,1),(161,1),(164,1),(172,1)}
       124:{1,4,6}:{(106,1),(108,1),(115,1),(136,1),(139,1),(158,1),(170,1)}
       125:{2,4,6}:{(107,1),(108,1),(116,1),(137,1),(140,1),(158,1),(171,1)}
       126:{3,6}:{(109,1),(117,1),(141,1)}
       127:{1,5,6}:{(110,1),(111,1),(112,1),(142,1)}
       128:{4,6}:{(111,1),(113,1)}
       129:{1,4,5,7}:{(112,1),(113,1),(115,1),(136,1),(142,1),(143,1)}
       130:{1,2,4,7}:{(114,1),(115,1),(116,1),(138,1),(144,1),(145,1),(146,1),(165,1)}
       131:{3,4,7}:{(115,1),(139,1),(143,1),(144,1),(145,1)}
       132:{3,4,7}:{(116,1),(117,1),(140,1),(144,1),(146,1)}
       133:{1,5,7}:{(117,1),(141,1),(146,1),(161,1)}
       134:{3,6}:{(118,1),(119,1),(147,1)}
       135:{1,2,5}:{(119,1),(120,1),(121,1),(147,1)}
       136:{1,4,5}:{(120,1),(122,1),(124,1),(149,1)}
       137:{2,4,5}:{(121,1),(122,1),(125,1),(150,1)}
       138:{1,2,4,6}:{(123,1),(124,1),(125,1),(130,1),(148,1),(151,1),(152,1),(153,1),(169,1),(173,1)}
       139:{3,4,6}:{(124,1),(131,1),(149,1),(151,1),(152,1),(154,1),(166,1)}
       140:{3,4,6}:{(125,1),(126,1),(132,1),(150,1),(151,1),(153,1),(166,1)}
       141:{1,6}:{(126,1),(133,1)}
       142:{1,4,6}:{(127,1),(128,1),(129,1),(154,1)}
       143:{3,5,7}:{(129,1),(131,1),(149,1),(154,1),(155,1)}
       144:{3,7}:{(130,1),(151,1)}
       145:{2,4,7}:{(131,1),(152,1),(155,1),(157,1)}
       146:{1,4,7}:{(132,1),(133,1),(153,1),(156,1)}
       147:{3,5}:{(134,1),(135,1),(158,1)}
       148:{1,2,4,5}:{(135,1),(136,1),(137,1),(138,1),(158,1),(159,1),(160,1),(161,1),(170,1),(171,1),(172,1)}
       149:{3,5}:{(136,1),(139,1),(160,1)}
       150:{3,5}:{(137,1),(140,1),(161,1)}
       151:{3,6}:{(138,1),(144,1),(159,1),(174,1)}
       152:{2,4,6}:{(139,1),(145,1),(160,1),(163,1),(164,1),(171,1)}
       153:{1,4,6}:{(140,1),(141,1),(146,1),(161,1),(162,1),(170,1)}
       154:{3,6}:{(142,1),(143,1),(164,1)}
       155:{2,5,7}:{(143,1),(145,1),(160,1),(164,1)}
       156:{1,3,7}:{(144,1),(146,1),(162,1),(165,1)}
       157:{2,3,7}:{(144,1),(145,1),(163,1),(165,1)}
       158:{4}:{(147,1)}
       159:{3,5}:{(148,1),(151,1),(166,1)}
       160:{2,5}:{(149,1),(152,1)}
       161:{1,5}:{(150,1),(153,1)}
       162:{1,3,6}:{(151,1),(153,1),(156,1),(167,1),(169,1)}
       163:{2,3,6}:{(151,1),(152,1),(157,1),(168,1),(169,1)}
       164:{2,6}:{(154,1),(155,1)}
       165:{1,2,7}:{(156,1),(157,1),(169,1)}
       166:{3,4}:{(158,1),(159,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(159,1),(161,1),(162,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(159,1),(160,1),(163,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(162,1),(163,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

 464 :   0:{1,4,5,6}:{(2,1),(3,1),(14,1),(37,1),(91,1)}
         1:{1,5,6,7}:{(4,1),(6,1),(70,1),(74,1)}
         2:{1,4,5,7}:{(0,1),(6,1),(7,1),(26,1),(28,1),(74,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(9,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(12,1),(16,1),(45,1),(48,1)}
         5:{3,4,6}:{(3,1),(10,1),(13,1),(14,1),(15,1),(52,1)}
         6:{1,4,6,7}:{(1,1),(2,1),(12,1),(16,1)}
         7:{3,5,7}:{(2,1),(3,1),(13,1),(16,1),(18,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(35,1),(52,1),(84,1),(91,1),(146,1)}
         9:{2,5,6}:{(3,1),(15,1),(18,1)}
        10:{3,4,5}:{(5,1),(21,1),(22,1),(66,1)}
        11:{2,5,6,7}:{(4,1),(24,1),(32,1),(75,1)}
        12:{4,6,7}:{(4,1),(26,1)}
        13:{3,4,7}:{(5,1),(7,1),(28,1),(29,1),(77,1)}
        14:{1,4,6}:{(5,1),(8,1),(21,1),(28,1),(166,1)}
        15:{2,4,6}:{(5,1),(9,1),(22,1),(25,1),(29,1)}
        16:{3,6,7}:{(6,1),(7,1),(32,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(28,1),(31,1),(33,1),(74,1),(77,1),(130,1)}
        18:{2,5,7}:{(7,1),(9,1),(29,1),(32,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(30,1),(33,1),(34,1),(58,1),(112,1),(129,1),(172,1)}
        20:{3,4,5,7}:{(10,1),(13,1),(38,1),(39,1),(40,1),(48,1),(94,1),(97,1),(135,1),(153,1),(183,1)}
        21:{1,4,5}:{(10,1),(14,1),(35,1),(183,1)}
        22:{2,4,5}:{(10,1),(15,1),(36,1)}
        23:{1,3,4,6}:{(14,1),(35,1),(42,1),(43,1),(52,1),(84,1),(95,1),(102,1),(147,1)}
        24:{2,4,6,7}:{(11,1),(12,1),(44,1),(45,1)}
        25:{2,3,6}:{(15,1),(36,1),(46,1),(47,1),(52,1)}
        26:{4,5,7}:{(12,1),(37,1),(48,1),(153,1)}
        27:{3,4,6,7}:{(12,1),(13,1),(16,1),(38,1),(45,1),(48,1),(49,1),(50,1),(97,1),(104,1),(153,1)}
        28:{1,4,7}:{(13,1),(14,1),(17,1),(153,1)}
        29:{2,4,7}:{(13,1),(15,1),(18,1),(46,1)}
        30:{1,2,4,6}:{(14,1),(15,1),(19,1),(41,1),(47,1),(51,1),(52,1),(55,1),(102,1)}
        31:{1,3,6,7}:{(16,1),(17,1),(49,1),(53,1),(84,1),(104,1),(148,1)}
        32:{2,6,7}:{(16,1),(18,1)}
        33:{1,2,5,7}:{(17,1),(18,1),(19,1),(51,1),(53,1),(54,1),(152,1)}
        34:{2,3,5,6}:{(19,1),(52,1),(54,1),(55,1),(86,1),(106,1),(139,1),(146,1),(155,1),(156,1),(178,1)}
        35:{1,3,5}:{(21,1),(23,1),(58,1),(66,1),(129,1),(167,1)}
        36:{2,3,5}:{(22,1),(25,1),(56,1),(61,1),(66,1)}
        37:{4,5,6}:{(26,1),(62,1),(166,1)}
        38:{3,4,6}:{(20,1),(62,1),(63,1),(64,1),(122,1),(166,1)}
        39:{1,4,5,7}:{(20,1),(21,1),(28,1),(57,1),(63,1),(74,1),(124,1),(157,1)}
        40:{2,4,5,7}:{(20,1),(22,1),(29,1),(60,1),(64,1),(75,1),(125,1),(158,1)}
        41:{1,2,4,5}:{(21,1),(22,1),(30,1),(58,1),(61,1),(66,1),(81,1),(114,1),(120,1),(129,1)}
        42:{1,3,4,7}:{(23,1),(28,1),(57,1),(67,1),(77,1),(123,1),(128,1),(189,1)}
        43:{1,2,4,6}:{(23,1),(58,1),(67,1),(68,1),(112,1),(114,1),(161,1)}
        44:{2,4,5,7}:{(24,1),(26,1),(59,1),(69,1),(75,1),(125,1)}
        45:{3,6,7}:{(24,1),(69,1),(70,1)}
        46:{2,3,7}:{(25,1),(29,1),(72,1),(77,1)}
        47:{1,2,6}:{(25,1),(61,1),(72,1),(73,1)}
        48:{3,5,7}:{(26,1),(27,1),(62,1),(74,1),(75,1)}
        49:{1,4,6,7}:{(27,1),(28,1),(31,1),(63,1),(70,1),(74,1),(124,1)}
        50:{2,4,6,7}:{(27,1),(29,1),(32,1),(64,1),(71,1),(75,1),(125,1)}
        51:{1,2,4,7}:{(28,1),(29,1),(30,1),(33,1),(72,1),(77,1),(80,1),(128,1)}
        52:{3,6}:{(30,1),(66,1),(77,1)}
        53:{1,2,6,7}:{(31,1),(32,1),(33,1),(79,1),(112,1),(168,1),(172,1)}
        54:{2,3,5,7}:{(33,1),(34,1),(77,1),(79,1),(80,1),(130,1),(132,1),(133,1)}
        55:{2,4,6}:{(34,1),(78,1),(80,1),(81,1),(114,1),(166,1)}
        56:{2,3,4}:{(36,1),(83,1),(95,1)}
        57:{1,3,5,7}:{(35,1),(39,1),(42,1),(84,1),(85,1),(94,1),(148,1),(152,1),(175,1)}
        58:{1,2,5}:{(35,1),(43,1),(86,1),(178,1)}
        59:{2,4,5,6}:{(37,1),(44,1),(87,1),(92,1),(142,1)}
        60:{2,3,5,7}:{(36,1),(40,1),(46,1),(82,1),(88,1),(89,1),(94,1),(136,1),(204,1)}
        61:{1,2,5}:{(36,1),(47,1),(83,1),(90,1)}
        62:{3,5,6}:{(37,1),(38,1),(48,1),(91,1),(92,1)}
        63:{1,4,6}:{(38,1),(39,1),(84,1),(91,1)}
        64:{2,4,6}:{(38,1),(40,1),(88,1),(92,1)}
        65:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(51,1),(85,1),(89,1),(93,1),(94,1),(103,1),(108,1),(140,1),(145,1),(149,1),(152,1),(153,1),(176,1),(178,1),(182,1),(183,1),(186,1),(204,1)}
        66:{3,5}:{(41,1),(52,1),(95,1)}
        67:{1,2,4,7}:{(42,1),(43,1),(85,1),(96,1),(140,1),(199,1)}
        68:{2,3,6}:{(43,1),(52,1),(86,1),(96,1)}
        69:{3,5,7}:{(44,1),(45,1),(87,1),(97,1),(98,1)}
        70:{1,6,7}:{(45,1),(98,1)}
        71:{2,3,6,7}:{(45,1),(46,1),(50,1),(88,1),(99,1),(100,1),(104,1)}
        72:{1,2,7}:{(46,1),(47,1),(101,1)}
        73:{1,3,6}:{(47,1),(52,1),(90,1),(101,1),(102,1)}
        74:{1,5,7}:{(48,1),(49,1),(91,1)}
        75:{2,5,7}:{(48,1),(50,1),(92,1)}
        76:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(53,1),(93,1),(100,1),(103,1),(104,1),(107,1),(149,1),(151,1),(153,1)}
        77:{3,7}:{(51,1),(52,1)}
        78:{3,4,6}:{(52,1),(55,1),(95,1),(102,1),(105,1),(106,1),(155,1)}
        79:{2,3,6,7}:{(53,1),(54,1),(104,1),(107,1),(139,1),(155,1),(184,1)}
        80:{2,4,7}:{(54,1),(55,1),(105,1),(153,1)}
        81:{2,4,5}:{(55,1),(106,1),(178,1),(183,1)}
        82:{2,3,4,7}:{(56,1),(60,1),(109,1),(110,1),(123,1),(125,1),(169,1),(196,1)}
        83:{1,2,4}:{(56,1),(61,1),(111,1),(120,1)}
        84:{1,3,6}:{(57,1),(63,1),(112,1),(122,1),(172,1)}
        85:{1,2,5,7}:{(57,1),(58,1),(67,1),(112,1),(113,1),(168,1),(190,1)}
        86:{2,3,5}:{(58,1),(66,1),(68,1),(114,1)}
        87:{3,5,6}:{(59,1),(69,1),(115,1),(116,1)}
        88:{2,3,6}:{(60,1),(64,1),(118,1),(122,1),(209,1)}
        89:{1,2,5,7}:{(60,1),(61,1),(72,1),(110,1),(118,1),(119,1),(159,1)}
        90:{1,3,5}:{(61,1),(66,1),(73,1),(111,1),(120,1),(129,1)}
        91:{1,5,6}:{(62,1),(63,1),(74,1)}
        92:{2,5,6}:{(62,1),(64,1),(75,1)}
        93:{1,2,4,6}:{(63,1),(64,1),(65,1),(112,1),(118,1),(121,1),(122,1),(134,1),(161,1),(165,1),(166,1),(172,1),(198,1),(209,1)}
        94:{3,5,7}:{(65,1),(66,1),(77,1),(122,1),(123,1),(167,1),(169,1),(191,1)}
        95:{3,4}:{(66,1),(114,1),(120,1)}
        96:{2,3,7}:{(67,1),(68,1),(77,1),(206,1)}
        97:{3,4,7}:{(69,1),(115,1),(124,1),(125,1),(169,1)}
        98:{1,5,7}:{(69,1),(70,1),(116,1),(124,1)}
        99:{2,3,5,7}:{(69,1),(71,1),(75,1),(117,1),(125,1),(126,1),(130,1),(169,1)}
       100:{1,2,6,7}:{(70,1),(71,1),(72,1),(118,1),(126,1),(127,1),(209,1)}
       101:{1,3,7}:{(72,1),(73,1),(77,1),(128,1)}
       102:{1,4,6}:{(73,1),(78,1),(120,1),(128,1),(129,1),(172,1)}
       103:{1,2,5,7}:{(74,1),(75,1),(76,1),(121,1),(130,1),(133,1),(171,1)}
       104:{3,6,7}:{(76,1),(77,1),(122,1),(130,1),(169,1)}
       105:{3,4,7}:{(77,1),(78,1),(80,1),(128,1),(132,1)}
       106:{3,5}:{(78,1),(81,1),(129,1)}
       107:{2,4,6,7}:{(79,1),(80,1),(131,1),(133,1),(134,1),(161,1),(196,1),(209,1)}
       108:{2,4,5,7}:{(80,1),(81,1),(132,1),(133,1),(134,1),(173,1)}
       109:{2,3,4,6}:{(82,1),(88,1),(136,1),(137,1),(142,1),(147,1),(180,1),(201,1),(202,1)}
       110:{1,2,4,7}:{(82,1),(83,1),(89,1),(137,1),(138,1),(145,1)}
       111:{1,3}:{(83,1)}
       112:{1,2,6}:{(84,1),(85,1),(139,1)}
       113:{2,3,5,7}:{(85,1),(86,1),(94,1),(96,1),(139,1),(140,1),(178,1),(184,1),(200,1),(204,1)}
       114:{2,4}:{(86,1),(95,1)}
       115:{3,4,6}:{(87,1),(97,1),(135,1),(141,1),(142,1),(180,1)}
       116:{1,5,6}:{(87,1),(98,1),(141,1)}
       117:{2,3,5,6}:{(87,1),(88,1),(92,1),(99,1),(136,1),(142,1),(143,1),(146,1),(180,1)}
       118:{1,2,6}:{(88,1),(89,1),(144,1)}
       119:{1,3,5,7}:{(89,1),(90,1),(94,1),(101,1),(138,1),(144,1),(145,1),(152,1),(177,1),(182,1)}
       120:{1,4}:{(90,1),(95,1)}
       121:{1,2,5,6}:{(91,1),(92,1),(93,1),(103,1),(146,1),(156,1),(178,1),(182,1),(187,1)}
       122:{3,6}:{(93,1),(94,1)}
       123:{3,4,7}:{(94,1),(95,1),(140,1),(145,1),(147,1),(153,1),(201,1)}
       124:{1,4,7}:{(97,1),(98,1),(141,1),(148,1)}
       125:{2,4,7}:{(97,1),(99,1),(142,1),(153,1)}
       126:{1,2,5,7}:{(98,1),(99,1),(100,1),(143,1),(149,1),(150,1),(204,1)}
       127:{1,3,6,7}:{(100,1),(101,1),(104,1),(144,1),(150,1),(151,1),(205,1)}
       128:{1,4,7}:{(101,1),(102,1),(105,1),(152,1)}
       129:{1,5}:{(102,1),(106,1)}
       130:{3,5,7}:{(103,1),(104,1),(146,1),(153,1)}
       131:{3,4,6,7}:{(104,1),(105,1),(107,1),(147,1),(151,1),(153,1),(154,1),(155,1),(185,1),(188,1),(205,1)}
       132:{3,5,7}:{(105,1),(106,1),(108,1),(152,1),(155,1)}
       133:{2,5,7}:{(107,1),(154,1),(156,1),(178,1)}
       134:{2,4,6}:{(108,1),(155,1),(156,1),(188,1)}
       135:{3,4,5}:{(115,1),(157,1),(158,1),(191,1)}
       136:{2,3,5}:{(109,1),(158,1),(159,1),(167,1),(191,1),(208,1)}
       137:{1,2,4,6}:{(109,1),(110,1),(118,1),(159,1),(160,1),(165,1),(192,1)}
       138:{1,3,7}:{(110,1),(111,1),(160,1),(169,1)}
       139:{2,3,6}:{(112,1),(113,1),(122,1),(161,1),(209,1)}
       140:{2,4,7}:{(113,1),(114,1),(123,1),(161,1),(207,1)}
       141:{1,4,6}:{(115,1),(116,1),(124,1),(157,1),(162,1)}
       142:{2,4,6}:{(115,1),(117,1),(125,1),(158,1),(166,1)}
       143:{1,2,5,6}:{(116,1),(117,1),(118,1),(126,1),(159,1),(163,1),(164,1),(208,1),(209,1)}
       144:{1,3,6}:{(118,1),(119,1),(122,1),(165,1),(172,1)}
       145:{1,4,7}:{(119,1),(120,1),(123,1),(165,1),(192,1)}
       146:{3,5,6}:{(121,1),(122,1),(130,1),(166,1),(167,1)}
       147:{3,4,6}:{(122,1),(123,1),(161,1),(165,1),(166,1),(167,1)}
       148:{1,3,7}:{(124,1),(162,1),(168,1),(169,1)}
       149:{1,2,4,7}:{(124,1),(125,1),(126,1),(163,1),(168,1),(169,1),(170,1),(196,1)}
       150:{1,3,5,7}:{(126,1),(127,1),(130,1),(164,1),(169,1),(170,1),(171,1),(197,1)}
       151:{1,4,6,7}:{(127,1),(128,1),(131,1),(165,1),(170,1),(171,1),(172,1),(198,1)}
       152:{1,5,7}:{(128,1),(129,1),(132,1),(172,1)}
       153:{4,7}:{(130,1),(166,1)}
       154:{3,5,7}:{(131,1),(133,1),(167,1),(171,1),(173,1),(174,1)}
       155:{3,6}:{(132,1),(134,1),(172,1)}
       156:{2,5,6}:{(133,1),(134,1),(174,1),(209,1)}
       157:{1,4,5}:{(135,1),(141,1),(175,1)}
       158:{2,4,5}:{(135,1),(136,1),(142,1),(183,1)}
       159:{1,2,5}:{(136,1),(137,1),(177,1),(182,1)}
       160:{1,3,6}:{(137,1),(138,1),(177,1),(180,1)}
       161:{2,4,6}:{(139,1),(140,1),(147,1),(178,1)}
       162:{1,3,6}:{(141,1),(148,1),(175,1),(179,1),(180,1)}
       163:{1,2,4,6}:{(141,1),(142,1),(143,1),(149,1),(176,1),(179,1),(180,1),(181,1),(202,1)}
       164:{1,3,5,6}:{(143,1),(144,1),(146,1),(150,1),(177,1),(180,1),(181,1),(182,1),(187,1),(203,1),(205,1)}
       165:{1,4,6}:{(144,1),(145,1),(147,1),(182,1)}
       166:{4,6}:{(146,1),(153,1),(183,1)}
       167:{3,5}:{(147,1),(178,1),(182,1),(183,1)}
       168:{1,2,7}:{(148,1),(179,1),(184,1)}
       169:{3,7}:{(149,1),(180,1)}
       170:{1,4,7}:{(150,1),(153,1),(181,1),(185,1)}
       171:{1,5,7}:{(151,1),(154,1),(182,1),(187,1)}
       172:{1,6}:{(152,1),(155,1)}
       173:{4,5,7}:{(153,1),(154,1),(183,1),(188,1)}
       174:{3,5,6}:{(154,1),(155,1),(156,1),(187,1),(188,1),(205,1)}
       175:{1,3,5}:{(157,1),(162,1),(189,1),(190,1),(191,1)}
       176:{1,2,4,5}:{(157,1),(158,1),(159,1),(163,1),(190,1),(191,1),(192,1),(195,1),(207,1),(208,1)}
       177:{1,3,5}:{(159,1),(160,1),(191,1),(192,1)}
       178:{2,5}:{(161,1),(167,1)}
       179:{1,2,6}:{(162,1),(168,1),(190,1),(193,1)}
       180:{3,6}:{(163,1),(169,1),(191,1)}
       181:{1,4,6}:{(164,1),(166,1),(170,1),(192,1),(194,1),(195,1)}
       182:{1,5}:{(165,1),(167,1)}
       183:{4,5}:{(166,1),(167,1)}
       184:{2,3,7}:{(168,1),(169,1),(193,1),(196,1)}
       185:{3,4,7}:{(169,1),(170,1),(194,1),(196,1),(197,1)}
       186:{1,4,5,7}:{(170,1),(171,1),(173,1),(195,1),(197,1),(198,1)}
       187:{1,5,6}:{(171,1),(172,1),(174,1),(198,1)}
       188:{4,6}:{(173,1),(174,1)}
       189:{1,3,4}:{(175,1),(199,1),(201,1)}
       190:{1,2,5}:{(175,1),(179,1),(199,1),(200,1)}
       191:{3,5}:{(176,1),(180,1),(201,1)}
       192:{1,4}:{(177,1),(201,1)}
       193:{2,3,6}:{(179,1),(180,1),(184,1),(200,1),(202,1)}
       194:{3,4,6}:{(180,1),(181,1),(185,1),(201,1),(202,1),(203,1),(205,1)}
       195:{1,4,5}:{(181,1),(182,1),(183,1),(203,1)}
       196:{2,4,7}:{(184,1),(185,1),(202,1),(204,1)}
       197:{3,5,7}:{(185,1),(186,1),(203,1),(204,1),(205,1)}
       198:{1,4,6}:{(186,1),(187,1),(188,1),(205,1)}
       199:{1,2,4}:{(189,1),(190,1),(206,1),(207,1)}
       200:{2,3,5}:{(190,1),(191,1),(193,1),(206,1),(207,1),(208,1)}
       201:{3,4}:{(191,1),(192,1),(207,1)}
       202:{2,4,6}:{(193,1),(194,1),(196,1),(207,1),(208,1),(209,1)}
       203:{3,5}:{(194,1),(195,1),(208,1)}
       204:{2,5,7}:{(196,1),(197,1),(208,1),(209,1)}
       205:{3,6}:{(197,1),(198,1),(209,1)}
       206:{2,3}:{(199,1)}
       207:{2,4}:{(200,1),(201,1)}
       208:{2,5}:{(202,1),(203,1)}
       209:{2,6}:{(204,1),(205,1)}

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

 466 :   0:{1,3,5,7}:{(2,1),(3,1),(4,1),(5,1),(18,1),(22,1),(48,1)}
         1:{1,4,5,7}:{(3,1),(5,1),(6,1),(22,1),(24,1),(50,1),(52,1)}
         2:{1,2,5,7}:{(0,1),(7,1),(8,1),(9,1),(13,1),(33,1),(55,1)}
         3:{1,4,7}:{(0,1),(10,1),(11,1),(63,1),(88,1)}
         4:{1,3,6}:{(0,1),(9,1),(11,1),(14,1),(32,1),(99,1)}
         5:{3,5,7}:{(1,1),(10,1),(13,1),(14,1),(35,1)}
         6:{1,4,6}:{(1,1),(14,1),(15,1),(39,1)}
         7:{2,3,5,7}:{(2,1),(16,1),(17,1),(18,1),(40,1),(44,1),(48,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(16,1),(18,1),(19,1),(20,1),(42,1),(45,1)}
         9:{1,2,6}:{(2,1),(4,1),(17,1),(25,1),(69,1),(103,1)}
        10:{3,4,7}:{(3,1),(5,1),(18,1),(20,1),(21,1),(52,1),(77,1)}
        11:{1,4,6}:{(3,1),(4,1),(21,1),(22,1),(78,1),(95,1)}
        12:{1,4,6,7}:{(6,1),(23,1),(24,1),(52,1)}
        13:{2,5,7}:{(5,1),(20,1),(25,1),(49,1)}
        14:{3,6}:{(5,1),(6,1),(25,1)}
        15:{1,5,6}:{(6,1),(22,1),(24,1),(26,1),(78,1)}
        16:{2,4,7}:{(7,1),(28,1),(29,1),(63,1),(104,1)}
        17:{2,3,6}:{(7,1),(9,1),(29,1),(32,1),(56,1),(100,1)}
        18:{3,7}:{(8,1),(32,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(11,1),(29,1),(32,1),(33,1),(34,1),(58,1),(60,1),(63,1),(84,1)}
        20:{2,4,7}:{(10,1),(13,1),(31,1),(34,1)}
        21:{3,4,6}:{(10,1),(11,1),(14,1),(32,1),(34,1),(35,1),(39,1),(63,1),(66,1),(86,1)}
        22:{1,5}:{(11,1),(35,1)}
        23:{3,6,7}:{(12,1),(14,1),(36,1),(37,1)}
        24:{1,5,7}:{(12,1),(15,1),(37,1),(88,1)}
        25:{2,6}:{(13,1),(14,1)}
        26:{3,5,6}:{(14,1),(15,1),(35,1),(37,1),(38,1),(39,1),(66,1)}
        27:{2,4,5,7}:{(16,1),(40,1),(41,1),(44,1),(68,1),(72,1),(90,1)}
        28:{3,4,7}:{(16,1),(18,1),(40,1),(42,1),(43,1),(90,1),(101,1)}
        29:{2,4,6}:{(16,1),(17,1),(43,1),(44,1),(94,1),(102,1)}
        30:{1,3,7}:{(18,1),(42,1),(45,1),(46,1),(101,1)}
        31:{2,3,7}:{(18,1),(20,1),(45,1),(47,1),(77,1)}
        32:{3,6}:{(18,1),(19,1),(48,1),(93,1)}
        33:{1,2,5}:{(19,1),(22,1),(44,1),(48,1),(49,1),(71,1)}
        34:{2,4,6}:{(20,1),(21,1),(25,1),(47,1),(49,1),(75,1)}
        35:{3,5}:{(21,1),(22,1),(49,1),(50,1)}
        36:{2,6,7}:{(23,1),(25,1),(51,1)}
        37:{3,5,7}:{(23,1),(24,1),(26,1),(51,1),(52,1),(77,1)}
        38:{2,5,6}:{(25,1),(26,1),(49,1),(51,1),(53,1)}
        39:{4,6}:{(26,1),(50,1),(52,1)}
        40:{3,5,7}:{(27,1),(28,1),(55,1),(56,1),(59,1)}
        41:{2,4,6}:{(27,1),(56,1),(57,1),(82,1)}
        42:{1,4,7}:{(28,1),(30,1),(55,1),(58,1)}
        43:{3,4,6}:{(28,1),(29,1),(32,1),(56,1),(58,1),(59,1),(63,1),(82,1),(85,1),(97,1)}
        44:{2,5}:{(29,1),(59,1)}
        45:{1,2,7}:{(30,1),(31,1),(60,1),(88,1),(104,1)}
        46:{1,3,6}:{(30,1),(32,1),(58,1),(60,1),(61,1),(97,1)}
        47:{2,3,6}:{(31,1),(32,1),(34,1),(60,1),(62,1),(66,1)}
        48:{3,5}:{(32,1),(33,1),(63,1)}
        49:{2,5}:{(34,1),(35,1)}
        50:{4,5}:{(35,1),(39,1),(63,1)}
        51:{2,5,7}:{(36,1),(37,1),(38,1),(65,1)}
        52:{4,7}:{(37,1),(39,1)}
        53:{2,4,6}:{(38,1),(39,1),(64,1),(65,1),(66,1)}
        54:{2,4,6,7}:{(41,1),(67,1),(68,1),(90,1)}
        55:{1,5,7}:{(40,1),(42,1),(69,1),(71,1)}
        56:{3,6}:{(40,1),(41,1),(69,1)}
        57:{2,5,6}:{(41,1),(44,1),(68,1),(70,1),(102,1)}
        58:{1,4,6}:{(42,1),(43,1),(46,1),(69,1),(71,1),(74,1)}
        59:{3,5}:{(43,1),(44,1),(71,1),(72,1)}
        60:{1,2,6}:{(45,1),(46,1),(47,1),(73,1),(78,1),(102,1)}
        61:{1,3,5}:{(46,1),(48,1),(71,1),(73,1),(74,1),(92,1),(93,1)}
        62:{2,3,5}:{(47,1),(48,1),(49,1),(73,1),(75,1),(76,1),(93,1)}
        63:{4}:{(48,1)}
        64:{2,4,5}:{(49,1),(50,1),(53,1),(75,1),(76,1)}
        65:{2,4,7}:{(51,1),(52,1),(53,1),(77,1)}
        66:{3,6}:{(53,1),(76,1),(77,1),(78,1)}
        67:{3,6,7}:{(54,1),(56,1),(79,1),(80,1)}
        68:{2,5,7}:{(54,1),(57,1),(80,1),(104,1)}
        69:{1,6}:{(55,1),(56,1)}
        70:{3,5,6}:{(56,1),(57,1),(59,1),(80,1),(81,1),(82,1),(97,1)}
        71:{1,5}:{(58,1),(59,1)}
        72:{4,5}:{(59,1),(63,1),(82,1)}
        73:{1,2,5}:{(60,1),(61,1),(62,1),(84,1),(87,1),(98,1)}
        74:{1,4}:{(61,1),(63,1),(85,1)}
        75:{2,4}:{(62,1),(63,1),(86,1)}
        76:{3,5}:{(64,1),(66,1),(86,1),(87,1)}
        77:{3,7}:{(65,1),(66,1),(88,1)}
        78:{1,6}:{(66,1),(87,1),(88,1)}
        79:{1,6,7}:{(67,1),(69,1),(89,1)}
        80:{3,5,7}:{(67,1),(68,1),(70,1),(89,1),(90,1),(101,1)}
        81:{1,5,6}:{(69,1),(70,1),(71,1),(89,1),(91,1)}
        82:{4,6}:{(70,1),(72,1),(90,1)}
        83:{1,4,5}:{(71,1),(72,1),(74,1),(91,1),(92,1)}
        84:{1,2,4}:{(73,1),(74,1),(75,1),(93,1),(94,1),(95,1),(103,1)}
        85:{3,4}:{(74,1),(92,1),(93,1),(94,1)}
        86:{3,4}:{(75,1),(76,1),(93,1),(95,1)}
        87:{1,5}:{(76,1),(78,1),(95,1)}
        88:{1,7}:{(77,1),(78,1)}
        89:{1,5,7}:{(79,1),(80,1),(81,1),(96,1)}
        90:{4,7}:{(80,1),(82,1)}
        91:{1,4,6}:{(81,1),(82,1),(83,1),(96,1),(97,1)}
        92:{3,5}:{(83,1),(85,1),(97,1),(98,1)}
        93:{3}:{(84,1)}
        94:{2,4}:{(85,1),(98,1),(100,1)}
        95:{1,4}:{(86,1),(87,1),(99,1)}
        96:{1,4,7}:{(89,1),(90,1),(91,1),(101,1)}
        97:{3,6}:{(91,1),(92,1),(101,1),(102,1)}
        98:{2,5}:{(92,1),(94,1),(102,1)}
        99:{1,3}:{(93,1),(95,1),(103,1)}
       100:{2,3}:{(93,1),(94,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{2,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{2,7}:{(101,1),(102,1)}

 467 :   0:{2,3,6,7}:{(2,1),(4,1),(5,1),(20,1),(76,1),(119,1),(146,1)}
         1:{2,3,5,6}:{(3,1),(5,1),(6,1),(24,1),(27,1),(29,1),(63,1),(69,1),(76,1),(119,1),(152,1),(168,1)}
         2:{1,2,6,7}:{(0,1),(7,1),(10,1),(101,1),(125,1),(139,1),(159,1)}
         3:{1,2,5,6}:{(1,1),(8,1),(10,1),(11,1),(51,1),(83,1),(97,1),(101,1),(125,1),(139,1),(162,1)}
         4:{2,4,6,7}:{(0,1),(12,1),(13,1),(15,1),(49,1),(130,1),(136,1),(140,1)}
         5:{2,3,5,7}:{(0,1),(1,1),(10,1),(13,1),(15,1),(39,1),(43,1),(50,1)}
         6:{2,4,6}:{(1,1),(14,1),(15,1),(16,1),(90,1),(93,1),(172,1)}
         7:{1,3,6,7}:{(2,1),(17,1),(18,1),(20,1),(105,1),(118,1),(145,1)}
         8:{1,3,5,6}:{(3,1),(18,1),(19,1),(24,1),(55,1),(57,1),(63,1),(68,1),(105,1),(118,1),(151,1),(168,1)}
         9:{1,2,4,6,7}:{(2,1),(4,1),(17,1),(20,1),(21,1),(23,1),(25,1),(53,1),(60,1),(64,1),(66,1),(108,1),(153,1)}
        10:{1,2,5,7}:{(2,1),(3,1),(5,1),(18,1),(23,1),(77,1),(106,1)}
        11:{1,2,4,6}:{(3,1),(6,1),(19,1),(22,1),(23,1),(24,1),(31,1),(59,1),(72,1),(117,1)}
        12:{3,4,6,7}:{(4,1),(20,1),(25,1),(26,1),(30,1),(64,1),(75,1),(76,1),(110,1),(114,1),(121,1)}
        13:{2,5,7}:{(4,1),(26,1),(27,1),(152,1)}
        14:{2,4,5}:{(6,1),(29,1),(113,1),(152,1)}
        15:{2,4,7}:{(5,1),(6,1),(30,1),(64,1)}
        16:{3,4,6}:{(6,1),(24,1),(29,1),(30,1),(31,1),(65,1),(76,1)}
        17:{1,4,6,7}:{(7,1),(32,1),(33,1),(35,1),(81,1),(133,1),(135,1),(155,1)}
        18:{1,3,5,7}:{(7,1),(8,1),(10,1),(33,1),(35,1),(39,1),(43,1),(82,1)}
        19:{1,4,6}:{(8,1),(34,1),(35,1),(36,1),(90,1),(92,1),(172,1)}
        20:{3,6,7}:{(9,1),(39,1),(43,1),(94,1),(127,1),(163,1)}
        21:{1,2,5,7}:{(9,1),(13,1),(33,1),(39,1),(40,1),(46,1),(78,1),(162,1)}
        22:{1,2,4,5}:{(11,1),(14,1),(34,1),(42,1),(51,1),(83,1),(92,1),(93,1),(97,1),(162,1),(172,1)}
        23:{1,2,4,7}:{(10,1),(11,1),(15,1),(35,1),(43,1),(52,1),(84,1),(98,1)}
        24:{3,6}:{(11,1),(42,1),(43,1),(138,1)}
        25:{1,4,6,7}:{(12,1),(37,1),(46,1),(52,1),(87,1),(99,1),(101,1),(135,1)}
        26:{3,5,7}:{(12,1),(13,1),(46,1),(47,1),(48,1),(134,1)}
        27:{2,5,6}:{(13,1),(47,1),(49,1),(140,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(15,1),(48,1),(49,1),(50,1)}
        29:{3,5}:{(14,1),(16,1),(51,1)}
        30:{3,4,7}:{(15,1),(16,1),(43,1),(50,1),(52,1)}
        31:{1,4,6}:{(16,1),(44,1),(51,1),(52,1),(92,1),(101,1)}
        32:{3,4,6,7}:{(17,1),(20,1),(53,1),(54,1),(58,1),(64,1),(104,1),(105,1),(112,1),(114,1),(141,1)}
        33:{1,5,7}:{(17,1),(54,1),(55,1),(151,1)}
        34:{1,4,5}:{(19,1),(57,1),(113,1),(151,1)}
        35:{1,4,7}:{(18,1),(19,1),(58,1),(64,1)}
        36:{3,4,6}:{(19,1),(24,1),(57,1),(58,1),(59,1),(65,1),(105,1)}
        37:{1,3,6,7}:{(20,1),(25,1),(60,1),(61,1),(70,1),(118,1),(121,1)}
        38:{2,3,6,7}:{(20,1),(53,1),(60,1),(62,1),(71,1),(119,1),(141,1)}
        39:{3,5,7}:{(20,1),(21,1),(63,1),(64,1),(168,1)}
        40:{1,2,5,6}:{(21,1),(27,1),(55,1),(63,1),(66,1),(73,1),(102,1),(151,1),(152,1)}
        41:{1,2,4,5,7}:{(21,1),(22,1),(23,1),(28,1),(56,1),(64,1),(66,1),(67,1),(74,1),(77,1),(103,1),(106,1),(108,1),(113,1),(115,1),(116,1),(120,1),(122,1),(142,1),(143,1),(151,1),(152,1)}
        42:{3,5}:{(22,1),(24,1),(65,1)}
        43:{3,7}:{(23,1),(24,1)}
        44:{1,3,6}:{(24,1),(31,1),(68,1),(70,1),(72,1)}
        45:{2,3,6}:{(24,1),(59,1),(69,1),(71,1),(72,1)}
        46:{1,5,7}:{(25,1),(26,1),(73,1),(151,1)}
        47:{3,5,6}:{(26,1),(27,1),(73,1),(75,1),(76,1),(121,1)}
        48:{4,5,7}:{(26,1),(64,1),(75,1),(113,1)}
        49:{2,4,6}:{(27,1),(28,1),(75,1),(76,1)}
        50:{3,5,7}:{(28,1),(29,1),(30,1),(76,1),(77,1)}
        51:{1,5}:{(29,1),(31,1)}
        52:{1,4,7}:{(30,1),(31,1),(70,1),(77,1)}
        53:{2,4,6,7}:{(32,1),(38,1),(78,1),(84,1),(89,1),(123,1),(125,1),(136,1)}
        54:{3,5,7}:{(32,1),(33,1),(78,1),(79,1),(80,1),(134,1)}
        55:{1,5,6}:{(33,1),(79,1),(81,1),(155,1)}
        56:{1,4,5,7}:{(33,1),(34,1),(35,1),(80,1),(81,1),(82,1)}
        57:{3,5}:{(34,1),(36,1),(83,1)}
        58:{3,4,7}:{(35,1),(36,1),(43,1),(82,1),(84,1)}
        59:{2,4,6}:{(36,1),(45,1),(83,1),(84,1),(93,1),(125,1)}
        60:{1,2,6,7}:{(37,1),(38,1),(85,1),(98,1),(139,1),(140,1),(155,1)}
        61:{1,3,5,7}:{(37,1),(39,1),(46,1),(85,1),(86,1),(87,1),(100,1),(127,1)}
        62:{2,3,5,7}:{(38,1),(39,1),(78,1),(85,1),(88,1),(89,1),(124,1),(127,1)}
        63:{3,5,6}:{(39,1),(40,1),(90,1),(94,1),(134,1)}
        64:{4,7}:{(39,1),(90,1),(172,1)}
        65:{3,4}:{(42,1),(92,1),(93,1),(138,1),(172,1)}
        66:{1,2,4,6}:{(40,1),(41,1),(49,1),(81,1),(90,1),(94,1),(99,1),(101,1),(123,1),(125,1),(135,1),(136,1),(139,1),(140,1),(155,1)}
        67:{3,5,7}:{(41,1),(42,1),(43,1),(91,1),(94,1),(127,1),(134,1),(156,1)}
        68:{1,3,5}:{(42,1),(44,1),(51,1),(92,1),(97,1),(138,1)}
        69:{2,3,5}:{(42,1),(45,1),(83,1),(93,1),(97,1),(138,1)}
        70:{1,3,7}:{(43,1),(44,1),(52,1),(98,1)}
        71:{2,3,7}:{(43,1),(45,1),(84,1),(98,1)}
        72:{1,2,6}:{(44,1),(45,1),(97,1),(98,1)}
        73:{1,5,6}:{(46,1),(47,1),(99,1),(101,1)}
        74:{1,4,5,7}:{(46,1),(48,1),(87,1),(99,1),(100,1),(128,1)}
        75:{4,6}:{(47,1),(48,1)}
        76:{3,6}:{(49,1),(50,1),(101,1)}
        77:{1,5,7}:{(50,1),(51,1),(52,1),(101,1)}
        78:{2,5,7}:{(53,1),(54,1),(102,1),(152,1)}
        79:{3,5,6}:{(54,1),(55,1),(102,1),(104,1),(105,1),(141,1)}
        80:{4,5,7}:{(54,1),(64,1),(104,1),(113,1)}
        81:{1,4,6}:{(55,1),(56,1),(104,1),(105,1)}
        82:{3,5,7}:{(56,1),(57,1),(58,1),(105,1),(106,1)}
        83:{2,5}:{(57,1),(59,1)}
        84:{2,4,7}:{(58,1),(59,1),(71,1),(106,1)}
        85:{1,2,5,7}:{(60,1),(61,1),(62,1),(107,1),(108,1),(122,1),(142,1)}
        86:{1,3,5,6}:{(61,1),(63,1),(73,1),(107,1),(109,1),(118,1),(121,1),(144,1),(147,1),(151,1),(165,1),(168,1)}
        87:{1,4,7}:{(61,1),(64,1),(109,1),(110,1)}
        88:{2,3,5,6}:{(62,1),(63,1),(102,1),(107,1),(111,1),(119,1),(141,1),(144,1),(149,1),(152,1),(166,1),(168,1)}
        89:{2,4,7}:{(62,1),(64,1),(111,1),(112,1)}
        90:{4,6}:{(63,1),(64,1),(113,1)}
        91:{3,4,7}:{(64,1),(65,1),(67,1),(114,1),(115,1),(116,1),(154,1),(164,1)}
        92:{1,4}:{(65,1),(68,1)}
        93:{2,4}:{(65,1),(69,1)}
        94:{3,6}:{(66,1),(67,1)}
        95:{1,3,5,7}:{(67,1),(68,1),(70,1),(77,1),(115,1),(118,1),(120,1),(142,1),(145,1),(151,1),(154,1),(165,1),(168,1)}
        96:{2,3,5,7}:{(67,1),(69,1),(71,1),(106,1),(116,1),(119,1),(120,1),(122,1),(146,1),(152,1),(154,1),(166,1),(168,1)}
        97:{1,2,5}:{(68,1),(69,1),(72,1),(117,1)}
        98:{1,2,7}:{(70,1),(71,1),(72,1)}
        99:{1,4,6}:{(73,1),(74,1),(75,1),(121,1)}
       100:{3,5,7}:{(74,1),(110,1),(121,1),(122,1),(147,1)}
       101:{1,6}:{(76,1),(77,1)}
       102:{2,5,6}:{(78,1),(79,1),(123,1),(125,1)}
       103:{2,4,5,7}:{(78,1),(80,1),(89,1),(123,1),(124,1),(131,1)}
       104:{4,6}:{(79,1),(80,1)}
       105:{3,6}:{(81,1),(82,1),(125,1)}
       106:{2,5,7}:{(82,1),(83,1),(84,1),(125,1)}
       107:{1,2,5,6}:{(85,1),(86,1),(88,1),(126,1),(139,1),(140,1),(155,1),(160,1),(161,1),(162,1),(171,1)}
       108:{1,2,4,7}:{(85,1),(87,1),(89,1),(126,1),(127,1),(130,1),(133,1),(159,1)}
       109:{1,4,6}:{(86,1),(87,1),(90,1),(128,1),(129,1),(169,1),(172,1)}
       110:{3,4,7}:{(87,1),(100,1),(127,1),(129,1),(130,1)}
       111:{2,4,6}:{(88,1),(89,1),(90,1),(131,1),(132,1),(170,1),(172,1)}
       112:{3,4,7}:{(89,1),(124,1),(127,1),(132,1),(133,1)}
       113:{4,5}:{(90,1),(134,1),(172,1)}
       114:{3,4,6}:{(90,1),(91,1),(94,1),(134,1),(135,1),(136,1),(163,1),(172,1)}
       115:{1,4,7}:{(91,1),(92,1),(95,1),(135,1),(169,1),(172,1)}
       116:{2,4,7}:{(91,1),(93,1),(96,1),(136,1),(170,1),(172,1)}
       117:{1,2,4}:{(92,1),(93,1),(97,1),(138,1)}
       118:{1,3,6}:{(94,1),(95,1),(101,1),(135,1),(139,1),(155,1),(163,1)}
       119:{2,3,6}:{(94,1),(96,1),(125,1),(136,1),(139,1),(140,1),(163,1)}
       120:{1,2,5,7}:{(95,1),(96,1),(97,1),(98,1),(137,1),(139,1),(159,1),(162,1),(171,1)}
       121:{3,6}:{(99,1),(100,1),(140,1)}
       122:{2,5,7}:{(100,1),(130,1),(140,1),(160,1)}
       123:{2,4,6}:{(102,1),(103,1),(104,1),(141,1)}
       124:{3,5,7}:{(103,1),(112,1),(141,1),(142,1),(149,1)}
       125:{2,6}:{(105,1),(106,1)}
       126:{1,2,4,6}:{(107,1),(108,1),(109,1),(111,1),(143,1),(144,1),(148,1),(150,1),(167,1),(173,1)}
       127:{3,7}:{(108,1),(144,1)}
       128:{1,4,5}:{(109,1),(113,1),(147,1),(151,1)}
       129:{3,4,6}:{(109,1),(110,1),(121,1),(144,1),(147,1),(148,1),(164,1)}
       130:{2,4,7}:{(110,1),(122,1),(146,1),(148,1)}
       131:{2,4,5}:{(111,1),(113,1),(149,1),(152,1)}
       132:{3,4,6}:{(111,1),(112,1),(141,1),(144,1),(149,1),(150,1),(164,1)}
       133:{1,4,7}:{(112,1),(142,1),(145,1),(150,1)}
       134:{3,5}:{(113,1),(114,1),(151,1),(152,1)}
       135:{1,4,6}:{(114,1),(115,1),(118,1),(151,1)}
       136:{2,4,6}:{(114,1),(116,1),(119,1),(152,1)}
       137:{1,2,4,7}:{(115,1),(116,1),(117,1),(120,1),(153,1),(154,1),(173,1)}
       138:{3}:{(117,1)}
       139:{1,2,6}:{(118,1),(119,1),(120,1)}
       140:{2,6}:{(121,1),(122,1)}
       141:{3,6}:{(123,1),(124,1),(155,1)}
       142:{1,5,7}:{(124,1),(133,1),(155,1),(161,1)}
       143:{1,2,4,5}:{(126,1),(128,1),(131,1),(156,1),(160,1),(161,1),(162,1),(169,1),(170,1),(171,1),(172,1)}
       144:{3,6}:{(126,1),(127,1),(156,1),(174,1)}
       145:{1,3,7}:{(127,1),(133,1),(157,1),(159,1)}
       146:{2,3,7}:{(127,1),(130,1),(158,1),(159,1)}
       147:{3,5}:{(128,1),(129,1),(160,1)}
       148:{2,4,6}:{(129,1),(130,1),(140,1),(158,1),(160,1),(170,1)}
       149:{3,5}:{(131,1),(132,1),(161,1)}
       150:{1,4,6}:{(132,1),(133,1),(155,1),(157,1),(161,1),(169,1)}
       151:{1,5}:{(134,1),(135,1)}
       152:{2,5}:{(134,1),(136,1)}
       153:{1,2,4,6}:{(135,1),(136,1),(137,1),(139,1),(162,1),(163,1),(172,1)}
       154:{3,7}:{(137,1),(138,1),(163,1),(174,1)}
       155:{1,6}:{(141,1),(142,1)}
       156:{3,5}:{(143,1),(144,1),(164,1)}
       157:{1,3,6}:{(144,1),(145,1),(150,1),(165,1),(167,1)}
       158:{2,3,6}:{(144,1),(146,1),(148,1),(166,1),(167,1)}
       159:{1,2,7}:{(145,1),(146,1),(167,1)}
       160:{2,5}:{(147,1),(148,1)}
       161:{1,5}:{(149,1),(150,1)}
       162:{1,2,5}:{(151,1),(152,1),(153,1),(168,1)}
       163:{3,6}:{(153,1),(154,1),(168,1)}
       164:{3,4}:{(156,1),(169,1),(170,1),(172,1),(174,1)}
       165:{1,3,5}:{(156,1),(157,1),(161,1),(169,1),(171,1),(174,1)}
       166:{2,3,5}:{(156,1),(158,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,2,6}:{(157,1),(158,1),(159,1),(171,1)}
       168:{3,5}:{(162,1),(163,1),(172,1)}
       169:{1,4}:{(164,1),(165,1)}
       170:{2,4}:{(164,1),(166,1)}
       171:{1,2,5}:{(165,1),(166,1),(167,1),(173,1)}
       172:{4}:{(168,1)}
       173:{1,2,4}:{(169,1),(170,1),(171,1),(174,1)}
       174:{3}:{(173,1)}

 468 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(16,1),(40,1),(44,1),(45,1),(86,1),(87,1),(121,1),(147,1)}
         1:{1,2,5,6}:{(0,1),(5,1),(6,1),(7,1),(24,1),(61,1),(66,1),(68,1),(105,1),(110,1),(135,1)}
         2:{2,4,6}:{(0,1),(4,1),(8,1),(9,1),(59,1),(108,1),(158,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(25,1),(33,1),(37,1),(77,1)}
         4:{2,4,5}:{(2,1),(12,1),(121,1),(122,1)}
         5:{1,3,5,6}:{(1,1),(14,1),(15,1),(16,1),(39,1),(46,1),(85,1),(87,1),(91,1),(92,1),(120,1),(147,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(14,1),(16,1),(17,1),(19,1),(48,1),(51,1),(80,1)}
         7:{1,2,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(43,1),(90,1)}
         8:{3,4,6}:{(2,1),(12,1),(16,1),(19,1),(20,1),(38,1),(44,1)}
         9:{2,4,7}:{(2,1),(3,1),(20,1),(98,1)}
        10:{2,3,6,7}:{(3,1),(18,1),(21,1),(44,1),(54,1),(86,1),(157,1)}
        11:{1,2,4,5}:{(4,1),(6,1),(22,1),(24,1),(27,1),(58,1),(59,1),(61,1),(68,1),(135,1),(158,1)}
        12:{3,5}:{(4,1),(8,1),(24,1)}
        13:{2,4,5,7}:{(4,1),(9,1),(25,1),(26,1),(37,1),(79,1)}
        14:{1,4,6}:{(5,1),(27,1),(28,1),(29,1),(58,1),(108,1),(158,1)}
        15:{1,3,5,7}:{(5,1),(7,1),(29,1),(30,1),(33,1),(69,1),(73,1),(77,1)}
        16:{3,6}:{(6,1),(22,1),(33,1),(100,1)}
        17:{1,2,4,7}:{(6,1),(7,1),(9,1),(29,1),(33,1),(35,1),(71,1),(74,1)}
        18:{1,2,6,7}:{(7,1),(10,1),(30,1),(66,1),(105,1),(110,1),(165,1)}
        19:{1,4,6}:{(8,1),(24,1),(31,1),(35,1),(58,1),(66,1)}
        20:{3,4,7}:{(8,1),(9,1),(25,1),(33,1),(35,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(26,1),(36,1),(37,1),(103,1),(141,1),(145,1)}
        22:{3,5}:{(11,1),(16,1),(38,1)}
        23:{1,2,4,5,7}:{(11,1),(13,1),(17,1),(41,1),(42,1),(43,1),(47,1),(55,1),(81,1),(82,1),(84,1),(90,1),(98,1),(99,1),(120,1),(121,1),(122,1),(129,1),(130,1),(133,1),(148,1),(155,1)}
        24:{1,5}:{(12,1),(19,1)}
        25:{3,5,7}:{(12,1),(13,1),(20,1),(43,1),(44,1)}
        26:{2,4,6}:{(13,1),(44,1),(45,1),(89,1)}
        27:{1,4,5}:{(14,1),(46,1),(120,1),(122,1)}
        28:{3,4,6}:{(14,1),(16,1),(38,1),(46,1),(48,1),(49,1),(91,1)}
        29:{1,4,7}:{(14,1),(15,1),(49,1),(98,1)}
        30:{1,3,6,7}:{(15,1),(18,1),(50,1),(54,1),(85,1),(91,1),(156,1)}
        31:{1,3,6}:{(16,1),(19,1),(39,1),(51,1),(52,1)}
        32:{2,3,6}:{(16,1),(40,1),(48,1),(51,1),(53,1)}
        33:{3,7}:{(16,1),(17,1)}
        34:{1,2,4,6,7}:{(17,1),(18,1),(21,1),(42,1),(50,1),(54,1),(55,1),(56,1),(93,1),(95,1),(98,1),(119,1),(130,1)}
        35:{1,4,7}:{(19,1),(20,1),(43,1),(52,1)}
        36:{3,4,6,7}:{(20,1),(21,1),(44,1),(54,1),(56,1),(57,1),(83,1),(89,1),(98,1),(126,1),(131,1)}
        37:{2,5,7}:{(21,1),(45,1),(57,1),(121,1)}
        38:{3,4}:{(22,1),(58,1),(59,1),(100,1),(158,1)}
        39:{1,3,5}:{(22,1),(24,1),(31,1),(58,1),(61,1),(100,1)}
        40:{2,3,5}:{(22,1),(32,1),(59,1),(61,1),(68,1),(100,1)}
        41:{3,5,7}:{(22,1),(23,1),(33,1),(60,1),(64,1),(104,1),(144,1),(159,1)}
        42:{1,2,4,6}:{(23,1),(26,1),(64,1),(65,1),(66,1),(70,1),(102,1),(103,1),(105,1),(108,1),(109,1),(110,1),(141,1),(142,1),(164,1)}
        43:{1,5,7}:{(24,1),(25,1),(35,1),(66,1)}
        44:{3,6}:{(25,1),(26,1),(66,1)}
        45:{2,5,6}:{(26,1),(37,1),(67,1),(141,1)}
        46:{3,5}:{(27,1),(28,1),(68,1)}
        47:{1,4,5,7}:{(27,1),(29,1),(69,1),(70,1),(73,1),(113,1)}
        48:{2,4,6}:{(28,1),(32,1),(59,1),(68,1),(71,1),(110,1)}
        49:{3,4,7}:{(28,1),(29,1),(33,1),(69,1),(71,1)}
        50:{1,4,6,7}:{(29,1),(30,1),(70,1),(72,1),(73,1),(102,1),(146,1),(164,1)}
        51:{1,2,6}:{(31,1),(32,1),(61,1),(74,1)}
        52:{1,3,7}:{(31,1),(33,1),(35,1),(74,1)}
        53:{2,3,7}:{(32,1),(33,1),(71,1),(74,1)}
        54:{3,6,7}:{(33,1),(34,1),(64,1),(77,1),(134,1),(144,1)}
        55:{1,2,5,7}:{(34,1),(37,1),(65,1),(73,1),(77,1),(78,1),(112,1),(135,1)}
        56:{1,4,6,7}:{(35,1),(36,1),(66,1),(75,1),(78,1),(102,1),(109,1),(115,1)}
        57:{3,5,7}:{(36,1),(37,1),(67,1),(78,1),(79,1),(104,1)}
        58:{1,4}:{(38,1),(39,1)}
        59:{2,4}:{(38,1),(40,1)}
        60:{3,4,7}:{(38,1),(41,1),(81,1),(82,1),(83,1),(98,1),(118,1),(166,1)}
        61:{1,2,5}:{(39,1),(40,1),(51,1),(80,1)}
        62:{1,3,5,7}:{(39,1),(41,1),(43,1),(52,1),(81,1),(84,1),(85,1),(118,1),(120,1),(147,1),(155,1),(156,1),(167,1)}
        63:{2,3,5,7}:{(40,1),(41,1),(53,1),(82,1),(84,1),(86,1),(90,1),(118,1),(121,1),(133,1),(147,1),(157,1),(168,1)}
        64:{3,6}:{(41,1),(42,1)}
        65:{1,2,5,6}:{(42,1),(45,1),(55,1),(87,1),(88,1),(92,1),(120,1),(121,1),(127,1)}
        66:{1,6}:{(43,1),(44,1)}
        67:{3,5,6}:{(44,1),(45,1),(57,1),(88,1),(89,1),(126,1)}
        68:{2,5}:{(46,1),(48,1)}
        69:{3,5,7}:{(46,1),(47,1),(49,1),(90,1),(91,1)}
        70:{1,4,6}:{(47,1),(91,1),(92,1),(128,1)}
        71:{2,4,7}:{(48,1),(49,1),(53,1),(90,1)}
        72:{3,4,6,7}:{(49,1),(50,1),(54,1),(83,1),(91,1),(93,1),(94,1),(98,1),(128,1),(132,1),(154,1)}
        73:{1,5,7}:{(50,1),(92,1),(94,1),(120,1)}
        74:{1,2,7}:{(51,1),(52,1),(53,1)}
        75:{1,3,6,7}:{(52,1),(54,1),(56,1),(85,1),(95,1),(96,1),(126,1)}
        76:{2,3,6,7}:{(53,1),(54,1),(86,1),(93,1),(95,1),(97,1),(154,1)}
        77:{3,5,7}:{(54,1),(55,1),(87,1),(98,1),(147,1)}
        78:{1,5,7}:{(56,1),(57,1),(88,1),(120,1)}
        79:{4,5,7}:{(57,1),(89,1),(98,1),(122,1)}
        80:{1,2,4}:{(58,1),(59,1),(61,1),(100,1)}
        81:{1,4,7}:{(58,1),(60,1),(62,1),(102,1),(158,1),(170,1)}
        82:{2,4,7}:{(59,1),(60,1),(63,1),(103,1),(158,1),(171,1)}
        83:{3,4,6}:{(60,1),(64,1),(102,1),(103,1),(104,1),(108,1),(134,1),(158,1)}
        84:{1,2,5,7}:{(61,1),(62,1),(63,1),(74,1),(101,1),(105,1),(135,1),(165,1),(172,1)}
        85:{1,3,6}:{(62,1),(64,1),(66,1),(102,1),(105,1),(134,1),(164,1)}
        86:{2,3,6}:{(63,1),(64,1),(103,1),(105,1),(110,1),(134,1),(141,1)}
        87:{3,5,6}:{(64,1),(65,1),(77,1),(104,1),(108,1)}
        88:{1,5,6}:{(66,1),(67,1),(78,1),(109,1)}
        89:{4,6}:{(67,1),(79,1)}
        90:{2,5,7}:{(68,1),(69,1),(71,1),(110,1)}
        91:{3,6}:{(69,1),(70,1),(110,1)}
        92:{1,5,6}:{(70,1),(73,1),(111,1),(164,1)}
        93:{2,4,6,7}:{(71,1),(72,1),(76,1),(103,1),(110,1),(112,1),(116,1),(142,1)}
        94:{3,5,7}:{(72,1),(73,1),(104,1),(111,1),(112,1),(113,1)}
        95:{1,2,6,7}:{(74,1),(75,1),(76,1),(105,1),(114,1),(141,1),(164,1)}
        96:{1,3,5,7}:{(75,1),(77,1),(78,1),(106,1),(114,1),(115,1),(117,1),(144,1)}
        97:{2,3,5,7}:{(76,1),(77,1),(107,1),(112,1),(114,1),(116,1),(143,1),(144,1)}
        98:{4,7}:{(77,1),(108,1),(158,1)}
        99:{1,4,5,7}:{(78,1),(79,1),(109,1),(115,1),(117,1),(136,1)}
       100:{3}:{(80,1)}
       101:{1,2,4,7}:{(80,1),(81,1),(82,1),(84,1),(118,1),(119,1),(173,1)}
       102:{1,4,6}:{(81,1),(83,1),(85,1),(120,1)}
       103:{2,4,6}:{(82,1),(83,1),(86,1),(121,1)}
       104:{3,5}:{(83,1),(120,1),(121,1),(122,1)}
       105:{1,2,6}:{(84,1),(85,1),(86,1)}
       106:{1,3,5,6}:{(85,1),(87,1),(88,1),(96,1),(120,1),(123,1),(124,1),(126,1),(147,1),(149,1),(151,1),(167,1)}
       107:{2,3,5,6}:{(86,1),(87,1),(97,1),(121,1),(123,1),(125,1),(127,1),(147,1),(150,1),(151,1),(154,1),(168,1)}
       108:{4,6}:{(87,1),(98,1),(122,1)}
       109:{1,4,6}:{(88,1),(89,1),(99,1),(126,1)}
       110:{2,6}:{(90,1),(91,1)}
       111:{3,5,6}:{(91,1),(92,1),(94,1),(127,1),(128,1),(154,1)}
       112:{2,5,7}:{(93,1),(94,1),(121,1),(127,1)}
       113:{4,5,7}:{(94,1),(98,1),(122,1),(128,1)}
       114:{1,2,5,7}:{(95,1),(96,1),(97,1),(123,1),(130,1),(133,1),(155,1)}
       115:{1,4,7}:{(96,1),(98,1),(124,1),(131,1)}
       116:{2,4,7}:{(97,1),(98,1),(125,1),(132,1)}
       117:{3,5,7}:{(99,1),(126,1),(131,1),(133,1),(149,1)}
       118:{3,7}:{(100,1),(101,1),(134,1),(174,1)}
       119:{1,2,4,6}:{(101,1),(102,1),(103,1),(105,1),(134,1),(135,1),(158,1)}
       120:{1,5}:{(102,1),(104,1)}
       121:{2,5}:{(103,1),(104,1)}
       122:{4,5}:{(104,1),(108,1),(158,1)}
       123:{1,2,5,6}:{(105,1),(106,1),(107,1),(114,1),(135,1),(138,1),(141,1),(160,1),(161,1),(164,1),(172,1)}
       124:{1,4,6}:{(106,1),(108,1),(115,1),(136,1),(139,1),(158,1),(170,1)}
       125:{2,4,6}:{(107,1),(108,1),(116,1),(137,1),(140,1),(158,1),(171,1)}
       126:{3,6}:{(109,1),(117,1),(141,1)}
       127:{2,5,6}:{(110,1),(111,1),(112,1),(142,1)}
       128:{4,6}:{(111,1),(113,1)}
       129:{2,4,5,7}:{(112,1),(113,1),(116,1),(137,1),(142,1),(143,1)}
       130:{1,2,4,7}:{(114,1),(115,1),(116,1),(138,1),(144,1),(145,1),(146,1),(165,1)}
       131:{3,4,7}:{(115,1),(117,1),(139,1),(144,1),(145,1)}
       132:{3,4,7}:{(116,1),(140,1),(143,1),(144,1),(146,1)}
       133:{2,5,7}:{(117,1),(141,1),(145,1),(160,1)}
       134:{3,6}:{(118,1),(119,1),(147,1)}
       135:{1,2,5}:{(119,1),(120,1),(121,1),(147,1)}
       136:{1,4,5}:{(120,1),(122,1),(124,1),(149,1)}
       137:{2,4,5}:{(121,1),(122,1),(125,1),(150,1)}
       138:{1,2,4,6}:{(123,1),(124,1),(125,1),(130,1),(148,1),(151,1),(152,1),(153,1),(169,1),(173,1)}
       139:{3,4,6}:{(124,1),(126,1),(131,1),(149,1),(151,1),(152,1),(166,1)}
       140:{3,4,6}:{(125,1),(132,1),(150,1),(151,1),(153,1),(154,1),(166,1)}
       141:{2,6}:{(126,1),(133,1)}
       142:{2,4,6}:{(127,1),(128,1),(129,1),(154,1)}
       143:{3,5,7}:{(129,1),(132,1),(150,1),(154,1),(155,1)}
       144:{3,7}:{(130,1),(151,1)}
       145:{2,4,7}:{(131,1),(133,1),(152,1),(157,1)}
       146:{1,4,7}:{(132,1),(153,1),(155,1),(156,1)}
       147:{3,5}:{(134,1),(135,1),(158,1)}
       148:{1,2,4,5}:{(135,1),(136,1),(137,1),(138,1),(158,1),(159,1),(160,1),(161,1),(170,1),(171,1),(172,1)}
       149:{3,5}:{(136,1),(139,1),(160,1)}
       150:{3,5}:{(137,1),(140,1),(161,1)}
       151:{3,6}:{(138,1),(144,1),(159,1),(174,1)}
       152:{2,4,6}:{(139,1),(141,1),(145,1),(160,1),(163,1),(171,1)}
       153:{1,4,6}:{(140,1),(146,1),(161,1),(162,1),(164,1),(170,1)}
       154:{3,6}:{(142,1),(143,1),(164,1)}
       155:{1,5,7}:{(143,1),(146,1),(161,1),(164,1)}
       156:{1,3,7}:{(144,1),(146,1),(162,1),(165,1)}
       157:{2,3,7}:{(144,1),(145,1),(163,1),(165,1)}
       158:{4}:{(147,1)}
       159:{3,5}:{(148,1),(151,1),(166,1)}
       160:{2,5}:{(149,1),(152,1)}
       161:{1,5}:{(150,1),(153,1)}
       162:{1,3,6}:{(151,1),(153,1),(156,1),(167,1),(169,1)}
       163:{2,3,6}:{(151,1),(152,1),(157,1),(168,1),(169,1)}
       164:{1,6}:{(154,1),(155,1)}
       165:{1,2,7}:{(156,1),(157,1),(169,1)}
       166:{3,4}:{(158,1),(159,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(159,1),(161,1),(162,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(159,1),(160,1),(163,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(162,1),(163,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

 469 :   0:{2,4,5,6}:{(2,1),(3,1),(15,1),(37,1),(92,1)}
         1:{2,5,6,7}:{(4,1),(6,1),(69,1),(75,1)}
         2:{2,4,5,7}:{(0,1),(6,1),(7,1),(26,1),(29,1),(75,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(8,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(12,1),(16,1),(43,1),(48,1)}
         5:{3,4,6}:{(3,1),(10,1),(13,1),(14,1),(15,1),(52,1)}
         6:{2,4,6,7}:{(1,1),(2,1),(12,1),(16,1)}
         7:{3,5,7}:{(2,1),(3,1),(13,1),(16,1),(17,1)}
         8:{1,5,6}:{(3,1),(14,1),(17,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(36,1),(52,1),(88,1),(92,1),(146,1)}
        10:{3,4,5}:{(5,1),(21,1),(22,1),(66,1)}
        11:{1,5,6,7}:{(4,1),(23,1),(31,1),(74,1)}
        12:{4,6,7}:{(4,1),(26,1)}
        13:{3,4,7}:{(5,1),(7,1),(28,1),(29,1),(77,1)}
        14:{1,4,6}:{(5,1),(8,1),(21,1),(24,1),(28,1)}
        15:{2,4,6}:{(5,1),(9,1),(22,1),(29,1),(166,1)}
        16:{3,6,7}:{(6,1),(7,1),(31,1)}
        17:{1,5,7}:{(7,1),(8,1),(28,1),(31,1)}
        18:{2,3,5,7}:{(7,1),(9,1),(29,1),(32,1),(33,1),(75,1),(77,1),(130,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(30,1),(33,1),(34,1),(61,1),(118,1),(129,1),(172,1)}
        20:{3,4,5,7}:{(10,1),(13,1),(38,1),(39,1),(40,1),(48,1),(94,1),(96,1),(135,1),(153,1),(183,1)}
        21:{1,4,5}:{(10,1),(14,1),(35,1)}
        22:{2,4,5}:{(10,1),(15,1),(36,1),(183,1)}
        23:{1,4,6,7}:{(11,1),(12,1),(42,1),(43,1)}
        24:{1,3,6}:{(14,1),(35,1),(44,1),(45,1),(52,1)}
        25:{2,3,4,6}:{(15,1),(36,1),(46,1),(47,1),(52,1),(88,1),(95,1),(101,1),(147,1)}
        26:{4,5,7}:{(12,1),(37,1),(48,1),(153,1)}
        27:{3,4,6,7}:{(12,1),(13,1),(16,1),(38,1),(43,1),(48,1),(49,1),(50,1),(96,1),(104,1),(153,1)}
        28:{1,4,7}:{(13,1),(14,1),(17,1),(44,1)}
        29:{2,4,7}:{(13,1),(15,1),(18,1),(153,1)}
        30:{1,2,4,6}:{(14,1),(15,1),(19,1),(41,1),(45,1),(51,1),(52,1),(55,1),(101,1)}
        31:{1,6,7}:{(16,1),(17,1)}
        32:{2,3,6,7}:{(16,1),(18,1),(50,1),(53,1),(88,1),(104,1),(148,1)}
        33:{1,2,5,7}:{(17,1),(18,1),(19,1),(51,1),(53,1),(54,1),(152,1)}
        34:{1,3,5,6}:{(19,1),(52,1),(54,1),(55,1),(90,1),(106,1),(144,1),(146,1),(155,1),(156,1),(182,1)}
        35:{1,3,5}:{(21,1),(24,1),(56,1),(59,1),(66,1)}
        36:{2,3,5}:{(22,1),(25,1),(61,1),(66,1),(129,1),(167,1)}
        37:{4,5,6}:{(26,1),(62,1),(166,1)}
        38:{3,4,6}:{(20,1),(62,1),(63,1),(64,1),(122,1),(166,1)}
        39:{1,4,5,7}:{(20,1),(21,1),(28,1),(58,1),(63,1),(74,1),(124,1),(157,1)}
        40:{2,4,5,7}:{(20,1),(22,1),(29,1),(60,1),(64,1),(75,1),(125,1),(158,1)}
        41:{1,2,4,5}:{(21,1),(22,1),(30,1),(59,1),(61,1),(66,1),(81,1),(117,1),(120,1),(129,1)}
        42:{1,4,5,7}:{(23,1),(26,1),(57,1),(67,1),(74,1),(124,1)}
        43:{3,6,7}:{(23,1),(67,1),(69,1)}
        44:{1,3,7}:{(24,1),(28,1),(70,1),(77,1)}
        45:{1,2,6}:{(24,1),(59,1),(70,1),(71,1)}
        46:{2,3,4,7}:{(25,1),(29,1),(60,1),(72,1),(77,1),(123,1),(128,1),(189,1)}
        47:{1,2,4,6}:{(25,1),(61,1),(72,1),(73,1),(118,1),(120,1),(165,1)}
        48:{3,5,7}:{(26,1),(27,1),(62,1),(74,1),(75,1)}
        49:{1,4,6,7}:{(27,1),(28,1),(31,1),(63,1),(68,1),(74,1),(124,1)}
        50:{2,4,6,7}:{(27,1),(29,1),(32,1),(64,1),(69,1),(75,1),(125,1)}
        51:{1,2,4,7}:{(28,1),(29,1),(30,1),(33,1),(70,1),(77,1),(80,1),(128,1)}
        52:{3,6}:{(30,1),(66,1),(77,1)}
        53:{1,2,6,7}:{(31,1),(32,1),(33,1),(79,1),(118,1),(168,1),(172,1)}
        54:{1,3,5,7}:{(33,1),(34,1),(77,1),(79,1),(80,1),(130,1),(132,1),(133,1)}
        55:{1,4,6}:{(34,1),(78,1),(80,1),(81,1),(120,1),(166,1)}
        56:{1,3,4}:{(35,1),(83,1),(95,1)}
        57:{1,4,5,6}:{(37,1),(42,1),(84,1),(91,1),(139,1)}
        58:{1,3,5,7}:{(35,1),(39,1),(44,1),(82,1),(85,1),(86,1),(94,1),(136,1),(204,1)}
        59:{1,2,5}:{(35,1),(45,1),(83,1),(87,1)}
        60:{2,3,5,7}:{(36,1),(40,1),(46,1),(88,1),(89,1),(94,1),(148,1),(152,1),(175,1)}
        61:{1,2,5}:{(36,1),(47,1),(90,1),(182,1)}
        62:{3,5,6}:{(37,1),(38,1),(48,1),(91,1),(92,1)}
        63:{1,4,6}:{(38,1),(39,1),(85,1),(91,1)}
        64:{2,4,6}:{(38,1),(40,1),(88,1),(92,1)}
        65:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(51,1),(86,1),(89,1),(93,1),(94,1),(103,1),(108,1),(143,1),(145,1),(149,1),(152,1),(153,1),(176,1),(181,1),(182,1),(183,1),(186,1),(204,1)}
        66:{3,5}:{(41,1),(52,1),(95,1)}
        67:{3,5,7}:{(42,1),(43,1),(84,1),(96,1),(98,1)}
        68:{1,3,6,7}:{(43,1),(44,1),(49,1),(85,1),(97,1),(99,1),(104,1)}
        69:{2,6,7}:{(43,1),(98,1)}
        70:{1,2,7}:{(44,1),(45,1),(100,1)}
        71:{2,3,6}:{(45,1),(52,1),(87,1),(100,1),(101,1)}
        72:{1,2,4,7}:{(46,1),(47,1),(89,1),(102,1),(145,1),(199,1)}
        73:{1,3,6}:{(47,1),(52,1),(90,1),(102,1)}
        74:{1,5,7}:{(48,1),(49,1),(91,1)}
        75:{2,5,7}:{(48,1),(50,1),(92,1)}
        76:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(53,1),(93,1),(99,1),(103,1),(104,1),(107,1),(149,1),(151,1),(153,1)}
        77:{3,7}:{(51,1),(52,1)}
        78:{3,4,6}:{(52,1),(55,1),(95,1),(101,1),(105,1),(106,1),(155,1)}
        79:{1,3,6,7}:{(53,1),(54,1),(104,1),(107,1),(144,1),(155,1),(184,1)}
        80:{1,4,7}:{(54,1),(55,1),(105,1),(153,1)}
        81:{1,4,5}:{(55,1),(106,1),(182,1),(183,1)}
        82:{1,3,4,7}:{(56,1),(58,1),(109,1),(110,1),(123,1),(124,1),(169,1),(196,1)}
        83:{1,2,4}:{(56,1),(59,1),(111,1),(117,1)}
        84:{3,5,6}:{(57,1),(67,1),(112,1),(114,1)}
        85:{1,3,6}:{(58,1),(63,1),(115,1),(122,1),(209,1)}
        86:{1,2,5,7}:{(58,1),(59,1),(70,1),(110,1),(115,1),(116,1),(159,1)}
        87:{2,3,5}:{(59,1),(66,1),(71,1),(111,1),(117,1),(129,1)}
        88:{2,3,6}:{(60,1),(64,1),(118,1),(122,1),(172,1)}
        89:{1,2,5,7}:{(60,1),(61,1),(72,1),(118,1),(119,1),(168,1),(190,1)}
        90:{1,3,5}:{(61,1),(66,1),(73,1),(120,1)}
        91:{1,5,6}:{(62,1),(63,1),(74,1)}
        92:{2,5,6}:{(62,1),(64,1),(75,1)}
        93:{1,2,4,6}:{(63,1),(64,1),(65,1),(115,1),(118,1),(121,1),(122,1),(134,1),(164,1),(165,1),(166,1),(172,1),(198,1),(209,1)}
        94:{3,5,7}:{(65,1),(66,1),(77,1),(122,1),(123,1),(167,1),(169,1),(191,1)}
        95:{3,4}:{(66,1),(117,1),(120,1)}
        96:{3,4,7}:{(67,1),(112,1),(124,1),(125,1),(169,1)}
        97:{1,3,5,7}:{(67,1),(68,1),(74,1),(113,1),(124,1),(126,1),(130,1),(169,1)}
        98:{2,5,7}:{(67,1),(69,1),(114,1),(125,1)}
        99:{1,2,6,7}:{(68,1),(69,1),(70,1),(115,1),(126,1),(127,1),(209,1)}
       100:{2,3,7}:{(70,1),(71,1),(77,1),(128,1)}
       101:{2,4,6}:{(71,1),(78,1),(117,1),(128,1),(129,1),(172,1)}
       102:{1,3,7}:{(72,1),(73,1),(77,1),(206,1)}
       103:{1,2,5,7}:{(74,1),(75,1),(76,1),(121,1),(130,1),(133,1),(171,1)}
       104:{3,6,7}:{(76,1),(77,1),(122,1),(130,1),(169,1)}
       105:{3,4,7}:{(77,1),(78,1),(80,1),(128,1),(132,1)}
       106:{3,5}:{(78,1),(81,1),(129,1)}
       107:{1,4,6,7}:{(79,1),(80,1),(131,1),(133,1),(134,1),(165,1),(196,1),(209,1)}
       108:{1,4,5,7}:{(80,1),(81,1),(132,1),(133,1),(134,1),(173,1)}
       109:{1,3,4,6}:{(82,1),(85,1),(136,1),(137,1),(139,1),(147,1),(179,1),(201,1),(202,1)}
       110:{1,2,4,7}:{(82,1),(83,1),(86,1),(137,1),(138,1),(143,1)}
       111:{2,3}:{(83,1)}
       112:{3,4,6}:{(84,1),(96,1),(135,1),(139,1),(140,1),(179,1)}
       113:{1,3,5,6}:{(84,1),(85,1),(91,1),(97,1),(136,1),(139,1),(141,1),(146,1),(179,1)}
       114:{2,5,6}:{(84,1),(98,1),(140,1)}
       115:{1,2,6}:{(85,1),(86,1),(142,1)}
       116:{2,3,5,7}:{(86,1),(87,1),(94,1),(100,1),(138,1),(142,1),(143,1),(152,1),(177,1),(181,1)}
       117:{2,4}:{(87,1),(95,1)}
       118:{1,2,6}:{(88,1),(89,1),(144,1)}
       119:{1,3,5,7}:{(89,1),(90,1),(94,1),(102,1),(144,1),(145,1),(182,1),(184,1),(200,1),(204,1)}
       120:{1,4}:{(90,1),(95,1)}
       121:{1,2,5,6}:{(91,1),(92,1),(93,1),(103,1),(146,1),(156,1),(181,1),(182,1),(187,1)}
       122:{3,6}:{(93,1),(94,1)}
       123:{3,4,7}:{(94,1),(95,1),(143,1),(145,1),(147,1),(153,1),(201,1)}
       124:{1,4,7}:{(96,1),(97,1),(139,1),(153,1)}
       125:{2,4,7}:{(96,1),(98,1),(140,1),(148,1)}
       126:{1,2,5,7}:{(97,1),(98,1),(99,1),(141,1),(149,1),(150,1),(204,1)}
       127:{2,3,6,7}:{(99,1),(100,1),(104,1),(142,1),(150,1),(151,1),(205,1)}
       128:{2,4,7}:{(100,1),(101,1),(105,1),(152,1)}
       129:{2,5}:{(101,1),(106,1)}
       130:{3,5,7}:{(103,1),(104,1),(146,1),(153,1)}
       131:{3,4,6,7}:{(104,1),(105,1),(107,1),(147,1),(151,1),(153,1),(154,1),(155,1),(185,1),(188,1),(205,1)}
       132:{3,5,7}:{(105,1),(106,1),(108,1),(152,1),(155,1)}
       133:{1,5,7}:{(107,1),(154,1),(156,1),(182,1)}
       134:{1,4,6}:{(108,1),(155,1),(156,1),(188,1)}
       135:{3,4,5}:{(112,1),(157,1),(158,1),(191,1)}
       136:{1,3,5}:{(109,1),(157,1),(159,1),(167,1),(191,1),(208,1)}
       137:{1,2,4,6}:{(109,1),(110,1),(115,1),(159,1),(160,1),(164,1),(192,1)}
       138:{2,3,7}:{(110,1),(111,1),(160,1),(169,1)}
       139:{1,4,6}:{(112,1),(113,1),(124,1),(157,1),(166,1)}
       140:{2,4,6}:{(112,1),(114,1),(125,1),(158,1),(161,1)}
       141:{1,2,5,6}:{(113,1),(114,1),(115,1),(126,1),(159,1),(162,1),(163,1),(208,1),(209,1)}
       142:{2,3,6}:{(115,1),(116,1),(122,1),(164,1),(172,1)}
       143:{2,4,7}:{(116,1),(117,1),(123,1),(164,1),(192,1)}
       144:{1,3,6}:{(118,1),(119,1),(122,1),(165,1),(209,1)}
       145:{1,4,7}:{(119,1),(120,1),(123,1),(165,1),(207,1)}
       146:{3,5,6}:{(121,1),(122,1),(130,1),(166,1),(167,1)}
       147:{3,4,6}:{(122,1),(123,1),(164,1),(165,1),(166,1),(167,1)}
       148:{2,3,7}:{(125,1),(161,1),(168,1),(169,1)}
       149:{1,2,4,7}:{(124,1),(125,1),(126,1),(162,1),(168,1),(169,1),(170,1),(196,1)}
       150:{2,3,5,7}:{(126,1),(127,1),(130,1),(163,1),(169,1),(170,1),(171,1),(197,1)}
       151:{2,4,6,7}:{(127,1),(128,1),(131,1),(164,1),(170,1),(171,1),(172,1),(198,1)}
       152:{2,5,7}:{(128,1),(129,1),(132,1),(172,1)}
       153:{4,7}:{(130,1),(166,1)}
       154:{3,5,7}:{(131,1),(133,1),(167,1),(171,1),(173,1),(174,1)}
       155:{3,6}:{(132,1),(134,1),(172,1)}
       156:{1,5,6}:{(133,1),(134,1),(174,1),(209,1)}
       157:{1,4,5}:{(135,1),(136,1),(139,1),(183,1)}
       158:{2,4,5}:{(135,1),(140,1),(175,1)}
       159:{1,2,5}:{(136,1),(137,1),(177,1),(181,1)}
       160:{2,3,6}:{(137,1),(138,1),(177,1),(179,1)}
       161:{2,3,6}:{(140,1),(148,1),(175,1),(178,1),(179,1)}
       162:{1,2,4,6}:{(139,1),(140,1),(141,1),(149,1),(176,1),(178,1),(179,1),(180,1),(202,1)}
       163:{2,3,5,6}:{(141,1),(142,1),(146,1),(150,1),(177,1),(179,1),(180,1),(181,1),(187,1),(203,1),(205,1)}
       164:{2,4,6}:{(142,1),(143,1),(147,1),(181,1)}
       165:{1,4,6}:{(144,1),(145,1),(147,1),(182,1)}
       166:{4,6}:{(146,1),(153,1),(183,1)}
       167:{3,5}:{(147,1),(181,1),(182,1),(183,1)}
       168:{1,2,7}:{(148,1),(178,1),(184,1)}
       169:{3,7}:{(149,1),(179,1)}
       170:{2,4,7}:{(150,1),(153,1),(180,1),(185,1)}
       171:{2,5,7}:{(151,1),(154,1),(181,1),(187,1)}
       172:{2,6}:{(152,1),(155,1)}
       173:{4,5,7}:{(153,1),(154,1),(183,1),(188,1)}
       174:{3,5,6}:{(154,1),(155,1),(156,1),(187,1),(188,1),(205,1)}
       175:{2,3,5}:{(158,1),(161,1),(189,1),(190,1),(191,1)}
       176:{1,2,4,5}:{(157,1),(158,1),(159,1),(162,1),(190,1),(191,1),(192,1),(195,1),(207,1),(208,1)}
       177:{2,3,5}:{(159,1),(160,1),(191,1),(192,1)}
       178:{1,2,6}:{(161,1),(168,1),(190,1),(193,1)}
       179:{3,6}:{(162,1),(169,1),(191,1)}
       180:{2,4,6}:{(163,1),(166,1),(170,1),(192,1),(194,1),(195,1)}
       181:{2,5}:{(164,1),(167,1)}
       182:{1,5}:{(165,1),(167,1)}
       183:{4,5}:{(166,1),(167,1)}
       184:{1,3,7}:{(168,1),(169,1),(193,1),(196,1)}
       185:{3,4,7}:{(169,1),(170,1),(194,1),(196,1),(197,1)}
       186:{2,4,5,7}:{(170,1),(171,1),(173,1),(195,1),(197,1),(198,1)}
       187:{2,5,6}:{(171,1),(172,1),(174,1),(198,1)}
       188:{4,6}:{(173,1),(174,1)}
       189:{2,3,4}:{(175,1),(199,1),(201,1)}
       190:{1,2,5}:{(175,1),(178,1),(199,1),(200,1)}
       191:{3,5}:{(176,1),(179,1),(201,1)}
       192:{2,4}:{(177,1),(201,1)}
       193:{1,3,6}:{(178,1),(179,1),(184,1),(200,1),(202,1)}
       194:{3,4,6}:{(179,1),(180,1),(185,1),(201,1),(202,1),(203,1),(205,1)}
       195:{2,4,5}:{(180,1),(181,1),(183,1),(203,1)}
       196:{1,4,7}:{(184,1),(185,1),(202,1),(204,1)}
       197:{3,5,7}:{(185,1),(186,1),(203,1),(204,1),(205,1)}
       198:{2,4,6}:{(186,1),(187,1),(188,1),(205,1)}
       199:{1,2,4}:{(189,1),(190,1),(206,1),(207,1)}
       200:{1,3,5}:{(190,1),(191,1),(193,1),(206,1),(207,1),(208,1)}
       201:{3,4}:{(191,1),(192,1),(207,1)}
       202:{1,4,6}:{(193,1),(194,1),(196,1),(207,1),(208,1),(209,1)}
       203:{3,5}:{(194,1),(195,1),(208,1)}
       204:{1,5,7}:{(196,1),(197,1),(208,1),(209,1)}
       205:{3,6}:{(197,1),(198,1),(209,1)}
       206:{1,3}:{(199,1)}
       207:{1,4}:{(200,1),(201,1)}
       208:{1,5}:{(202,1),(203,1)}
       209:{1,6}:{(204,1),(205,1)}

 470 :   0:{2,5,6,7}:{(1,1),(2,1),(35,1),(39,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(5,1),(7,1),(19,1),(21,1)}
         2:{2,4,6,7}:{(0,1),(5,1),(6,1),(7,1)}
         3:{2,4,5,6}:{(6,1),(8,1),(20,1),(30,1),(58,1)}
         4:{1,5,6,7}:{(1,1),(9,1),(13,1),(38,1)}
         5:{4,6,7}:{(1,1),(10,1)}
         6:{2,4,5,7}:{(2,1),(3,1),(10,1),(12,1),(39,1),(44,1)}
         7:{3,6,7}:{(2,1),(12,1),(13,1)}
         8:{3,5,6}:{(3,1),(12,1),(15,1),(16,1)}
         9:{1,4,6,7}:{(4,1),(5,1),(18,1),(19,1)}
        10:{4,5,7}:{(5,1),(20,1),(21,1),(120,1)}
        11:{3,4,6,7}:{(5,1),(7,1),(19,1),(21,1),(22,1),(23,1),(25,1),(52,1),(56,1),(62,1),(120,1)}
        12:{3,5,7}:{(6,1),(7,1),(8,1),(25,1),(26,1)}
        13:{1,6,7}:{(7,1),(26,1)}
        14:{2,3,6,7}:{(7,1),(23,1),(27,1),(28,1),(62,1),(108,1),(114,1)}
        15:{3,4,6}:{(8,1),(24,1),(25,1),(29,1),(30,1),(73,1)}
        16:{1,5,6}:{(8,1),(26,1),(29,1)}
        17:{2,3,5,6}:{(8,1),(27,1),(30,1),(31,1),(58,1),(64,1),(73,1),(114,1),(116,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(32,1),(33,1),(38,1),(78,1)}
        19:{3,6,7}:{(9,1),(33,1),(35,1)}
        20:{4,5,6}:{(10,1),(36,1),(147,1)}
        21:{3,5,7}:{(10,1),(11,1),(36,1),(38,1),(39,1)}
        22:{1,4,6,7}:{(11,1),(13,1),(34,1),(38,1),(43,1),(78,1),(83,1)}
        23:{2,4,6,7}:{(11,1),(14,1),(35,1),(39,1),(44,1),(79,1),(84,1)}
        24:{3,4,5}:{(15,1),(41,1),(42,1),(93,1)}
        25:{3,4,7}:{(12,1),(15,1),(43,1),(44,1),(96,1)}
        26:{1,5,7}:{(12,1),(13,1),(16,1),(43,1)}
        27:{2,3,5,7}:{(12,1),(14,1),(17,1),(39,1),(44,1),(45,1),(89,1),(96,1)}
        28:{1,2,6,7}:{(13,1),(14,1),(45,1),(46,1),(139,1),(145,1),(194,1)}
        29:{1,4,6}:{(15,1),(16,1),(41,1),(43,1),(47,1)}
        30:{2,4,6}:{(15,1),(17,1),(42,1),(44,1),(147,1)}
        31:{1,2,5,6}:{(16,1),(17,1),(45,1),(49,1),(50,1),(92,1),(145,1),(158,1),(194,1)}
        32:{1,4,5,6}:{(18,1),(20,1),(51,1),(57,1),(104,1)}
        33:{3,5,7}:{(18,1),(19,1),(51,1),(52,1),(54,1)}
        34:{1,3,6,7}:{(19,1),(22,1),(53,1),(55,1),(62,1),(66,1),(113,1)}
        35:{2,6,7}:{(19,1),(54,1)}
        36:{3,5,6}:{(20,1),(21,1),(56,1),(57,1),(58,1)}
        37:{3,4,5,7}:{(21,1),(24,1),(25,1),(52,1),(56,1),(59,1),(60,1),(103,1),(119,1),(120,1),(174,1)}
        38:{1,5,7}:{(21,1),(22,1),(57,1)}
        39:{2,5,7}:{(21,1),(23,1),(58,1)}
        40:{1,2,4,6,7}:{(22,1),(23,1),(28,1),(55,1),(61,1),(62,1),(68,1),(70,1),(109,1),(111,1),(115,1),(120,1)}
        41:{1,4,5}:{(24,1),(29,1),(63,1)}
        42:{2,4,5}:{(24,1),(30,1),(64,1),(174,1)}
        43:{1,4,7}:{(25,1),(26,1),(29,1),(66,1)}
        44:{2,4,7}:{(25,1),(27,1),(30,1),(120,1)}
        45:{1,2,5,7}:{(26,1),(27,1),(28,1),(31,1),(68,1),(69,1),(178,1)}
        46:{1,3,6,7}:{(28,1),(62,1),(69,1),(70,1),(167,1),(172,1),(179,1)}
        47:{1,3,6}:{(29,1),(63,1),(66,1),(71,1),(73,1)}
        48:{2,3,4,6}:{(30,1),(64,1),(67,1),(72,1),(73,1),(114,1),(124,1),(130,1),(173,1)}
        49:{1,2,4,6}:{(29,1),(30,1),(31,1),(65,1),(68,1),(71,1),(73,1),(74,1),(130,1)}
        50:{1,3,5,6}:{(31,1),(69,1),(73,1),(74,1),(116,1),(123,1),(129,1),(131,1),(172,1),(179,1),(204,1)}
        51:{3,5,6}:{(32,1),(33,1),(75,1),(77,1)}
        52:{3,4,7}:{(33,1),(75,1),(78,1),(79,1),(140,1)}
        53:{1,3,5,7}:{(33,1),(34,1),(38,1),(76,1),(78,1),(80,1),(89,1),(140,1)}
        54:{2,5,7}:{(33,1),(35,1),(77,1),(79,1)}
        55:{1,2,6,7}:{(34,1),(35,1),(80,1),(81,1),(94,1),(144,1),(209,1)}
        56:{3,4,6}:{(36,1),(37,1),(83,1),(84,1),(146,1),(147,1)}
        57:{1,5,6}:{(36,1),(38,1),(83,1)}
        58:{2,5,6}:{(36,1),(39,1),(84,1)}
        59:{1,4,5,7}:{(37,1),(38,1),(41,1),(43,1),(78,1),(83,1),(86,1),(132,1)}
        60:{2,4,5,7}:{(37,1),(39,1),(42,1),(44,1),(79,1),(84,1),(87,1),(133,1)}
        61:{1,2,5,7}:{(38,1),(39,1),(40,1),(85,1),(89,1),(98,1),(142,1)}
        62:{3,6,7}:{(40,1),(89,1),(96,1),(140,1),(146,1)}
        63:{1,3,5}:{(41,1),(47,1),(82,1),(91,1),(93,1)}
        64:{2,3,5}:{(42,1),(48,1),(92,1),(93,1),(158,1),(193,1)}
        65:{1,2,4,5}:{(41,1),(42,1),(49,1),(91,1),(92,1),(93,1),(102,1),(153,1),(154,1),(158,1)}
        66:{1,3,7}:{(43,1),(47,1),(94,1),(96,1)}
        67:{2,3,4,7}:{(44,1),(48,1),(87,1),(95,1),(96,1),(150,1),(155,1),(180,1)}
        68:{1,2,4,7}:{(43,1),(44,1),(45,1),(49,1),(94,1),(96,1),(97,1),(155,1)}
        69:{1,3,5,7}:{(45,1),(46,1),(50,1),(89,1),(96,1),(97,1),(98,1),(156,1)}
        70:{1,4,6,7}:{(46,1),(90,1),(97,1),(98,1),(157,1),(188,1),(192,1),(209,1)}
        71:{1,2,6}:{(47,1),(91,1),(94,1),(99,1)}
        72:{1,2,4,6}:{(48,1),(92,1),(95,1),(100,1),(145,1),(154,1),(192,1)}
        73:{3,6}:{(49,1),(93,1),(96,1)}
        74:{1,4,6}:{(50,1),(97,1),(101,1),(102,1),(147,1),(154,1)}
        75:{3,4,6}:{(51,1),(52,1),(103,1),(104,1),(105,1),(164,1)}
        76:{1,3,5,6}:{(51,1),(53,1),(57,1),(104,1),(106,1),(113,1),(116,1),(159,1),(164,1)}
        77:{2,5,6}:{(51,1),(54,1),(105,1)}
        78:{1,4,7}:{(52,1),(53,1),(104,1),(120,1)}
        79:{2,4,7}:{(52,1),(54,1),(105,1),(108,1)}
        80:{1,2,5,7}:{(53,1),(54,1),(55,1),(106,1),(109,1),(110,1),(201,1)}
        81:{2,3,6,7}:{(55,1),(62,1),(110,1),(111,1),(125,1),(171,1),(202,1)}
        82:{1,3,4}:{(63,1),(112,1),(124,1)}
        83:{1,4,6}:{(56,1),(57,1),(59,1),(113,1)}
        84:{2,4,6}:{(56,1),(58,1),(60,1),(114,1)}
        85:{1,2,5,6}:{(57,1),(58,1),(61,1),(115,1),(116,1),(129,1),(170,1),(203,1),(204,1)}
        86:{1,3,5,7}:{(59,1),(63,1),(66,1),(107,1),(113,1),(117,1),(119,1),(159,1),(201,1)}
        87:{2,3,5,7}:{(60,1),(64,1),(67,1),(108,1),(114,1),(118,1),(119,1),(160,1),(178,1)}
        88:{1,2,4,5,7}:{(59,1),(60,1),(61,1),(65,1),(68,1),(109,1),(115,1),(117,1),(118,1),(119,1),(120,1),(128,1),(161,1),(169,1),(174,1),(175,1),(176,1),(178,1),(201,1),(203,1),(204,1)}
        89:{3,5,7}:{(61,1),(62,1),(116,1),(120,1)}
        90:{3,4,6,7}:{(62,1),(70,1),(111,1),(120,1),(121,1),(127,1),(168,1),(173,1),(177,1),(179,1),(202,1)}
        91:{1,2,5}:{(63,1),(71,1),(112,1),(122,1)}
        92:{1,2,5}:{(64,1),(72,1),(123,1),(204,1)}
        93:{3,5}:{(65,1),(73,1),(124,1)}
        94:{1,2,7}:{(66,1),(71,1),(125,1)}
        95:{1,2,4,7}:{(67,1),(72,1),(118,1),(126,1),(176,1),(195,1)}
        96:{3,7}:{(68,1),(73,1)}
        97:{1,4,7}:{(69,1),(74,1),(120,1),(127,1)}
        98:{1,5,7}:{(70,1),(121,1),(129,1),(204,1)}
        99:{2,3,6}:{(71,1),(73,1),(122,1),(125,1),(130,1)}
       100:{1,3,6}:{(72,1),(73,1),(123,1),(126,1)}
       101:{3,4,6}:{(73,1),(74,1),(124,1),(127,1),(130,1),(131,1),(179,1)}
       102:{1,4,5}:{(74,1),(131,1),(174,1),(204,1)}
       103:{3,4,5}:{(75,1),(132,1),(133,1),(183,1)}
       104:{1,4,6}:{(75,1),(76,1),(78,1),(132,1),(147,1)}
       105:{2,4,6}:{(75,1),(77,1),(79,1),(133,1),(135,1)}
       106:{1,2,5,6}:{(76,1),(77,1),(80,1),(136,1),(137,1),(144,1),(181,1),(208,1),(209,1)}
       107:{1,3,4,7}:{(78,1),(82,1),(86,1),(134,1),(138,1),(140,1),(150,1),(188,1)}
       108:{2,3,7}:{(79,1),(135,1),(139,1),(140,1)}
       109:{1,2,4,7}:{(78,1),(79,1),(80,1),(136,1),(139,1),(140,1),(141,1),(188,1)}
       110:{2,3,5,7}:{(80,1),(81,1),(89,1),(137,1),(140,1),(141,1),(142,1),(189,1)}
       111:{2,4,6,7}:{(81,1),(90,1),(141,1),(142,1),(155,1),(190,1),(191,1),(194,1)}
       112:{1,2,4}:{(82,1),(91,1),(143,1),(153,1)}
       113:{1,3,6}:{(83,1),(86,1),(144,1),(146,1),(209,1)}
       114:{2,3,6}:{(84,1),(87,1),(145,1),(146,1),(194,1)}
       115:{1,2,4,6}:{(83,1),(84,1),(85,1),(88,1),(144,1),(145,1),(146,1),(147,1),(157,1),(190,1),(191,1),(192,1),(194,1),(209,1)}
       116:{3,5,6}:{(85,1),(89,1),(146,1),(147,1),(193,1)}
       117:{1,2,5,7}:{(86,1),(91,1),(94,1),(138,1),(144,1),(148,1),(181,1)}
       118:{1,2,5,7}:{(87,1),(92,1),(95,1),(139,1),(145,1),(149,1),(182,1)}
       119:{3,5,7}:{(88,1),(93,1),(96,1),(140,1),(146,1),(150,1),(183,1),(193,1)}
       120:{4,7}:{(89,1),(147,1)}
       121:{3,5,7}:{(90,1),(98,1),(142,1),(151,1),(152,1),(193,1)}
       122:{2,3,5}:{(91,1),(93,1),(99,1),(143,1),(153,1),(158,1)}
       123:{1,3,5}:{(92,1),(93,1),(100,1),(154,1)}
       124:{3,4}:{(93,1),(153,1),(154,1)}
       125:{2,3,7}:{(94,1),(96,1),(99,1),(155,1)}
       126:{1,3,7}:{(95,1),(96,1),(100,1),(205,1)}
       127:{3,4,7}:{(96,1),(97,1),(101,1),(155,1),(156,1)}
       128:{1,4,5,7}:{(97,1),(98,1),(102,1),(151,1),(156,1),(157,1)}
       129:{1,5,6}:{(98,1),(152,1),(157,1),(209,1)}
       130:{2,4,6}:{(99,1),(101,1),(153,1),(155,1),(158,1),(194,1)}
       131:{3,5}:{(101,1),(102,1),(158,1)}
       132:{1,4,5}:{(103,1),(104,1),(159,1),(174,1)}
       133:{2,4,5}:{(103,1),(105,1),(160,1)}
       134:{1,3,4,6}:{(104,1),(107,1),(113,1),(159,1),(162,1),(164,1),(173,1),(198,1),(199,1)}
       135:{2,3,6}:{(105,1),(108,1),(160,1),(163,1),(164,1)}
       136:{1,2,4,6}:{(104,1),(105,1),(106,1),(109,1),(161,1),(163,1),(164,1),(165,1),(199,1)}
       137:{2,3,5,6}:{(106,1),(110,1),(116,1),(164,1),(165,1),(170,1),(171,1),(196,1),(200,1),(202,1),(203,1)}
       138:{1,2,4,7}:{(107,1),(112,1),(117,1),(162,1),(166,1),(175,1)}
       139:{1,2,7}:{(108,1),(163,1),(167,1)}
       140:{3,7}:{(109,1),(164,1)}
       141:{2,4,7}:{(110,1),(120,1),(165,1),(168,1)}
       142:{2,5,7}:{(111,1),(121,1),(170,1),(203,1)}
       143:{2,3}:{(112,1)}
       144:{1,2,6}:{(113,1),(117,1),(171,1)}
       145:{1,2,6}:{(114,1),(118,1),(172,1)}
       146:{3,6}:{(115,1),(119,1)}
       147:{4,6}:{(116,1),(120,1),(174,1)}
       148:{2,3,5,7}:{(117,1),(119,1),(122,1),(125,1),(166,1),(171,1),(175,1),(178,1),(196,1),(203,1)}
       149:{1,3,5,7}:{(118,1),(119,1),(123,1),(126,1),(167,1),(172,1),(176,1),(197,1),(201,1),(204,1)}
       150:{3,4,7}:{(119,1),(120,1),(124,1),(173,1),(175,1),(176,1),(198,1)}
       151:{4,5,7}:{(120,1),(121,1),(174,1),(177,1)}
       152:{3,5,6}:{(121,1),(129,1),(170,1),(177,1),(179,1),(202,1)}
       153:{2,4}:{(122,1),(124,1)}
       154:{1,4}:{(123,1),(124,1)}
       155:{2,4,7}:{(125,1),(127,1),(130,1),(178,1)}
       156:{3,5,7}:{(127,1),(128,1),(131,1),(178,1),(179,1)}
       157:{1,4,6}:{(128,1),(129,1),(177,1),(179,1)}
       158:{2,5}:{(130,1),(131,1)}
       159:{1,3,5}:{(132,1),(134,1),(181,1),(183,1),(193,1),(208,1)}
       160:{2,3,5}:{(133,1),(135,1),(180,1),(182,1),(183,1)}
       161:{1,2,4,5}:{(132,1),(133,1),(136,1),(181,1),(182,1),(183,1),(187,1),(206,1),(207,1),(208,1)}
       162:{1,2,4,6}:{(134,1),(138,1),(144,1),(181,1),(184,1),(191,1),(206,1)}
       163:{1,2,6}:{(135,1),(139,1),(182,1),(185,1)}
       164:{3,6}:{(136,1),(140,1),(183,1)}
       165:{2,4,6}:{(137,1),(141,1),(147,1),(186,1),(187,1),(206,1)}
       166:{2,3,7}:{(138,1),(140,1),(143,1),(184,1)}
       167:{1,3,7}:{(139,1),(140,1),(185,1),(188,1)}
       168:{3,4,7}:{(140,1),(141,1),(186,1),(188,1),(189,1)}
       169:{2,4,5,7}:{(141,1),(142,1),(151,1),(187,1),(189,1),(190,1)}
       170:{2,5,6}:{(142,1),(152,1),(190,1),(194,1)}
       171:{2,3,6}:{(144,1),(146,1),(148,1),(191,1),(194,1)}
       172:{1,3,6}:{(145,1),(146,1),(149,1),(192,1),(209,1)}
       173:{3,4,6}:{(146,1),(147,1),(150,1),(191,1),(192,1),(193,1)}
       174:{4,5}:{(147,1),(193,1)}
       175:{2,4,7}:{(148,1),(150,1),(153,1),(191,1),(206,1)}
       176:{1,4,7}:{(149,1),(150,1),(154,1),(192,1),(207,1)}
       177:{4,6}:{(151,1),(152,1)}
       178:{2,5,7}:{(155,1),(156,1),(158,1),(194,1)}
       179:{3,6}:{(156,1),(157,1),(194,1)}
       180:{2,3,4}:{(160,1),(195,1),(198,1)}
       181:{1,2,5}:{(159,1),(162,1),(196,1),(203,1)}
       182:{1,2,5}:{(160,1),(163,1),(195,1),(197,1)}
       183:{3,5}:{(161,1),(164,1),(198,1)}
       184:{2,3,6}:{(162,1),(164,1),(166,1),(196,1)}
       185:{1,3,6}:{(163,1),(164,1),(167,1),(197,1),(199,1)}
       186:{3,4,6}:{(164,1),(165,1),(168,1),(198,1),(199,1),(200,1),(202,1)}
       187:{2,4,5}:{(165,1),(174,1),(200,1),(203,1)}
       188:{1,4,7}:{(167,1),(168,1),(199,1),(201,1)}
       189:{3,5,7}:{(168,1),(169,1),(200,1),(201,1),(202,1)}
       190:{2,4,6}:{(169,1),(170,1),(177,1),(202,1)}
       191:{2,4,6}:{(171,1),(173,1),(175,1),(203,1)}
       192:{1,4,6}:{(172,1),(173,1),(176,1),(204,1)}
       193:{3,5}:{(173,1),(174,1),(203,1),(204,1)}
       194:{2,6}:{(178,1),(179,1)}
       195:{1,2,4}:{(180,1),(182,1),(205,1),(207,1)}
       196:{2,3,5}:{(181,1),(183,1),(184,1),(206,1)}
       197:{1,3,5}:{(182,1),(183,1),(185,1),(205,1),(207,1),(208,1)}
       198:{3,4}:{(183,1),(206,1),(207,1)}
       199:{1,4,6}:{(185,1),(186,1),(188,1),(207,1),(208,1),(209,1)}
       200:{3,5}:{(186,1),(187,1),(208,1)}
       201:{1,5,7}:{(188,1),(189,1),(208,1),(209,1)}
       202:{3,6}:{(189,1),(190,1),(209,1)}
       203:{2,5}:{(191,1),(193,1)}
       204:{1,5}:{(192,1),(193,1)}
       205:{1,3}:{(195,1)}
       206:{2,4}:{(196,1),(198,1)}
       207:{1,4}:{(197,1),(198,1)}
       208:{1,5}:{(199,1),(200,1)}
       209:{1,6}:{(201,1),(202,1)}

 471 :   0:{2,3,5,7}:{(2,1),(3,1),(4,1),(5,1),(18,1),(22,1),(48,1)}
         1:{2,4,5,7}:{(3,1),(5,1),(6,1),(22,1),(24,1),(50,1),(52,1)}
         2:{1,2,5,7}:{(0,1),(7,1),(8,1),(9,1),(13,1),(33,1),(55,1)}
         3:{2,4,7}:{(0,1),(10,1),(11,1),(63,1),(88,1)}
         4:{2,3,6}:{(0,1),(9,1),(11,1),(14,1),(32,1),(100,1)}
         5:{3,5,7}:{(1,1),(10,1),(13,1),(14,1),(35,1)}
         6:{2,4,6}:{(1,1),(14,1),(15,1),(39,1)}
         7:{1,3,5,7}:{(2,1),(16,1),(17,1),(18,1),(40,1),(44,1),(48,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(16,1),(18,1),(19,1),(20,1),(42,1),(45,1)}
         9:{1,2,6}:{(2,1),(4,1),(17,1),(25,1),(69,1),(103,1)}
        10:{3,4,7}:{(3,1),(5,1),(18,1),(20,1),(21,1),(52,1),(77,1)}
        11:{2,4,6}:{(3,1),(4,1),(21,1),(22,1),(78,1),(94,1)}
        12:{2,4,6,7}:{(6,1),(23,1),(24,1),(52,1)}
        13:{1,5,7}:{(5,1),(20,1),(25,1),(49,1)}
        14:{3,6}:{(5,1),(6,1),(25,1)}
        15:{2,5,6}:{(6,1),(22,1),(24,1),(26,1),(78,1)}
        16:{1,4,7}:{(7,1),(28,1),(29,1),(63,1),(104,1)}
        17:{1,3,6}:{(7,1),(9,1),(29,1),(32,1),(56,1),(99,1)}
        18:{3,7}:{(8,1),(32,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(11,1),(29,1),(32,1),(33,1),(34,1),(58,1),(60,1),(63,1),(84,1)}
        20:{1,4,7}:{(10,1),(13,1),(30,1),(34,1)}
        21:{3,4,6}:{(10,1),(11,1),(14,1),(32,1),(34,1),(35,1),(39,1),(63,1),(66,1),(85,1)}
        22:{2,5}:{(11,1),(35,1)}
        23:{3,6,7}:{(12,1),(14,1),(36,1),(37,1)}
        24:{2,5,7}:{(12,1),(15,1),(37,1),(88,1)}
        25:{1,6}:{(13,1),(14,1)}
        26:{3,5,6}:{(14,1),(15,1),(35,1),(37,1),(38,1),(39,1),(66,1)}
        27:{1,4,5,7}:{(16,1),(40,1),(41,1),(44,1),(68,1),(72,1),(90,1)}
        28:{3,4,7}:{(16,1),(18,1),(40,1),(42,1),(43,1),(90,1),(101,1)}
        29:{1,4,6}:{(16,1),(17,1),(43,1),(44,1),(95,1),(102,1)}
        30:{1,3,7}:{(18,1),(20,1),(45,1),(46,1),(77,1)}
        31:{2,3,7}:{(18,1),(42,1),(45,1),(47,1),(101,1)}
        32:{3,6}:{(18,1),(19,1),(48,1),(93,1)}
        33:{1,2,5}:{(19,1),(22,1),(44,1),(48,1),(49,1),(71,1)}
        34:{1,4,6}:{(20,1),(21,1),(25,1),(46,1),(49,1),(74,1)}
        35:{3,5}:{(21,1),(22,1),(49,1),(50,1)}
        36:{1,6,7}:{(23,1),(25,1),(51,1)}
        37:{3,5,7}:{(23,1),(24,1),(26,1),(51,1),(52,1),(77,1)}
        38:{1,5,6}:{(25,1),(26,1),(49,1),(51,1),(53,1)}
        39:{4,6}:{(26,1),(50,1),(52,1)}
        40:{3,5,7}:{(27,1),(28,1),(55,1),(56,1),(59,1)}
        41:{1,4,6}:{(27,1),(56,1),(57,1),(82,1)}
        42:{2,4,7}:{(28,1),(31,1),(55,1),(58,1)}
        43:{3,4,6}:{(28,1),(29,1),(32,1),(56,1),(58,1),(59,1),(63,1),(82,1),(86,1),(97,1)}
        44:{1,5}:{(29,1),(59,1)}
        45:{1,2,7}:{(30,1),(31,1),(60,1),(88,1),(104,1)}
        46:{1,3,6}:{(30,1),(32,1),(34,1),(60,1),(61,1),(66,1)}
        47:{2,3,6}:{(31,1),(32,1),(58,1),(60,1),(62,1),(97,1)}
        48:{3,5}:{(32,1),(33,1),(63,1)}
        49:{1,5}:{(34,1),(35,1)}
        50:{4,5}:{(35,1),(39,1),(63,1)}
        51:{1,5,7}:{(36,1),(37,1),(38,1),(65,1)}
        52:{4,7}:{(37,1),(39,1)}
        53:{1,4,6}:{(38,1),(39,1),(64,1),(65,1),(66,1)}
        54:{1,4,6,7}:{(41,1),(67,1),(68,1),(90,1)}
        55:{2,5,7}:{(40,1),(42,1),(69,1),(71,1)}
        56:{3,6}:{(40,1),(41,1),(69,1)}
        57:{1,5,6}:{(41,1),(44,1),(68,1),(70,1),(102,1)}
        58:{2,4,6}:{(42,1),(43,1),(47,1),(69,1),(71,1),(75,1)}
        59:{3,5}:{(43,1),(44,1),(71,1),(72,1)}
        60:{1,2,6}:{(45,1),(46,1),(47,1),(73,1),(78,1),(102,1)}
        61:{1,3,5}:{(46,1),(48,1),(49,1),(73,1),(74,1),(76,1),(93,1)}
        62:{2,3,5}:{(47,1),(48,1),(71,1),(73,1),(75,1),(92,1),(93,1)}
        63:{4}:{(48,1)}
        64:{1,4,5}:{(49,1),(50,1),(53,1),(74,1),(76,1)}
        65:{1,4,7}:{(51,1),(52,1),(53,1),(77,1)}
        66:{3,6}:{(53,1),(76,1),(77,1),(78,1)}
        67:{3,6,7}:{(54,1),(56,1),(79,1),(80,1)}
        68:{1,5,7}:{(54,1),(57,1),(80,1),(104,1)}
        69:{2,6}:{(55,1),(56,1)}
        70:{3,5,6}:{(56,1),(57,1),(59,1),(80,1),(81,1),(82,1),(97,1)}
        71:{2,5}:{(58,1),(59,1)}
        72:{4,5}:{(59,1),(63,1),(82,1)}
        73:{1,2,5}:{(60,1),(61,1),(62,1),(84,1),(87,1),(98,1)}
        74:{1,4}:{(61,1),(63,1),(85,1)}
        75:{2,4}:{(62,1),(63,1),(86,1)}
        76:{3,5}:{(64,1),(66,1),(85,1),(87,1)}
        77:{3,7}:{(65,1),(66,1),(88,1)}
        78:{2,6}:{(66,1),(87,1),(88,1)}
        79:{2,6,7}:{(67,1),(69,1),(89,1)}
        80:{3,5,7}:{(67,1),(68,1),(70,1),(89,1),(90,1),(101,1)}
        81:{2,5,6}:{(69,1),(70,1),(71,1),(89,1),(91,1)}
        82:{4,6}:{(70,1),(72,1),(90,1)}
        83:{2,4,5}:{(71,1),(72,1),(75,1),(91,1),(92,1)}
        84:{1,2,4}:{(73,1),(74,1),(75,1),(93,1),(94,1),(95,1),(103,1)}
        85:{3,4}:{(74,1),(76,1),(93,1),(94,1)}
        86:{3,4}:{(75,1),(92,1),(93,1),(95,1)}
        87:{2,5}:{(76,1),(78,1),(94,1)}
        88:{2,7}:{(77,1),(78,1)}
        89:{2,5,7}:{(79,1),(80,1),(81,1),(96,1)}
        90:{4,7}:{(80,1),(82,1)}
        91:{2,4,6}:{(81,1),(82,1),(83,1),(96,1),(97,1)}
        92:{3,5}:{(83,1),(86,1),(97,1),(98,1)}
        93:{3}:{(84,1)}
        94:{2,4}:{(85,1),(87,1),(100,1)}
        95:{1,4}:{(86,1),(98,1),(99,1)}
        96:{2,4,7}:{(89,1),(90,1),(91,1),(101,1)}
        97:{3,6}:{(91,1),(92,1),(101,1),(102,1)}
        98:{1,5}:{(92,1),(95,1),(102,1)}
        99:{1,3}:{(93,1),(95,1),(103,1)}
       100:{2,3}:{(93,1),(94,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{1,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{1,7}:{(101,1),(102,1)}

 472 :  0:{1,2,6,7}:{(3,1),(5,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(38,1),(39,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(17,1),(20,1),(21,1),(25,1),(38,1),(39,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{3,5,6}:{(1,1),(9,1),(10,1),(13,1),(26,1),(28,1),(45,1)}
        5:{1,2,5,7}:{(0,1),(1,1),(9,1),(12,1),(46,1),(47,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(30,1),(31,1),(35,1)}
        7:{3,5}:{(2,1),(11,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(18,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(18,1),(22,1)}
       10:{4,6}:{(4,1),(17,1),(18,1)}
       11:{3,4}:{(7,1),(20,1),(21,1),(43,1)}
       12:{1,2,4,7}:{(5,1),(6,1),(18,1),(22,1),(40,1),(41,1),(44,1)}
       13:{3,6}:{(6,1),(7,1),(22,1)}
       14:{1,3,5}:{(7,1),(20,1),(23,1),(25,1),(38,1),(43,1),(54,1)}
       15:{2,3,5}:{(7,1),(21,1),(24,1),(25,1),(39,1),(43,1),(54,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,5}:{(10,1),(28,1),(58,1)}
       18:{4,7}:{(9,1),(10,1)}
       19:{3,4,6}:{(10,1),(11,1),(13,1),(28,1),(29,1),(30,1),(31,1),(45,1),(50,1),(58,1),(61,1)}
       20:{1,4}:{(11,1),(14,1),(58,1)}
       21:{2,4}:{(11,1),(15,1),(58,1)}
       22:{3,7}:{(12,1),(13,1)}
       23:{1,3,6}:{(13,1),(14,1),(30,1),(33,1),(35,1),(50,1)}
       24:{2,3,6}:{(13,1),(15,1),(31,1),(34,1),(35,1),(50,1)}
       25:{1,2,5}:{(14,1),(15,1),(32,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(18,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,5}:{(17,1),(19,1),(38,1),(39,1),(62,1)}
       29:{3,4,7}:{(18,1),(19,1),(22,1),(37,1),(40,1),(41,1),(55,1),(60,1)}
       30:{1,4,6}:{(19,1),(20,1),(23,1),(38,1),(40,1),(51,1)}
       31:{2,4,6}:{(19,1),(21,1),(24,1),(39,1),(41,1),(52,1)}
       32:{1,2,4}:{(20,1),(21,1),(25,1),(43,1)}
       33:{1,3,7}:{(22,1),(23,1),(40,1),(44,1),(55,1)}
       34:{2,3,7}:{(22,1),(24,1),(41,1),(44,1),(55,1)}
       35:{1,2,6}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(45,1),(46,1),(47,1)}
       38:{1,5}:{(28,1),(30,1)}
       39:{2,5}:{(28,1),(31,1)}
       40:{1,4,7}:{(29,1),(30,1),(33,1),(46,1)}
       41:{2,4,7}:{(29,1),(31,1),(34,1),(47,1)}
       42:{1,2,4,6}:{(30,1),(31,1),(32,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       43:{3}:{(32,1)}
       44:{1,2,7}:{(33,1),(34,1),(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(40,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(41,1),(52,1)}
       48:{1,2,5}:{(38,1),(39,1),(42,1),(54,1),(62,1)}
       49:{1,2,4,7}:{(40,1),(41,1),(42,1),(44,1),(53,1),(55,1),(60,1)}
       50:{3,6}:{(42,1),(43,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,5}:{(48,1),(50,1),(58,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(54,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

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

 474 :   0:{1,4,5,6}:{(1,1),(2,1),(13,1),(91,1),(93,1)}
         1:{3,5,6}:{(0,1),(4,1),(6,1),(7,1)}
         2:{1,4,5,7}:{(0,1),(7,1),(8,1),(30,1),(76,1),(78,1)}
         3:{1,3,4,6}:{(10,1),(11,1),(12,1),(13,1),(45,1),(49,1),(88,1),(96,1),(139,1)}
         4:{3,4,6}:{(1,1),(9,1),(13,1),(14,1),(15,1),(49,1)}
         5:{1,3,5,6}:{(1,1),(10,1),(13,1),(16,1),(17,1),(45,1),(49,1),(91,1),(140,1)}
         6:{2,5,6}:{(1,1),(14,1),(18,1)}
         7:{3,5,7}:{(1,1),(2,1),(15,1),(18,1),(19,1)}
         8:{1,4,6,7}:{(2,1),(19,1),(20,1),(58,1)}
         9:{3,4,5}:{(4,1),(21,1),(22,1),(62,1)}
        10:{1,3,5}:{(3,1),(21,1),(24,1),(62,1),(120,1),(160,1)}
        11:{1,2,4,6}:{(3,1),(24,1),(26,1),(27,1),(67,1),(69,1),(119,1)}
        12:{1,3,4,7}:{(3,1),(25,1),(27,1),(30,1),(74,1),(115,1),(121,1),(203,1)}
        13:{1,4,6}:{(4,1),(5,1),(21,1),(30,1),(161,1)}
        14:{2,4,6}:{(4,1),(6,1),(22,1),(28,1),(31,1)}
        15:{3,4,7}:{(4,1),(7,1),(30,1),(31,1),(74,1)}
        16:{1,2,5,6}:{(5,1),(6,1),(24,1),(29,1),(33,1),(34,1),(69,1),(120,1),(163,1)}
        17:{1,3,5,7}:{(5,1),(7,1),(30,1),(34,1),(35,1),(74,1),(76,1),(127,1)}
        18:{2,5,7}:{(6,1),(7,1),(31,1),(36,1)}
        19:{3,6,7}:{(7,1),(8,1),(36,1)}
        20:{1,5,6,7}:{(8,1),(37,1),(76,1),(131,1)}
        21:{1,4,5}:{(9,1),(10,1),(13,1),(177,1)}
        22:{2,4,5}:{(9,1),(14,1),(38,1)}
        23:{3,4,5,7}:{(9,1),(15,1),(40,1),(41,1),(42,1),(53,1),(89,1),(147,1),(150,1),(172,1),(177,1)}
        24:{1,2,5}:{(10,1),(11,1),(43,1),(142,1)}
        25:{1,3,5,7}:{(10,1),(12,1),(40,1),(44,1),(45,1),(89,1),(143,1),(181,1),(196,1)}
        26:{2,3,6}:{(11,1),(43,1),(46,1),(49,1)}
        27:{1,2,4,7}:{(11,1),(12,1),(44,1),(46,1),(94,1),(208,1)}
        28:{2,3,6}:{(14,1),(38,1),(47,1),(48,1),(49,1)}
        29:{1,2,4,6}:{(13,1),(14,1),(16,1),(39,1),(47,1),(49,1),(50,1),(54,1),(96,1)}
        30:{1,4,7}:{(13,1),(15,1),(17,1),(150,1)}
        31:{2,4,7}:{(14,1),(15,1),(18,1),(48,1)}
        32:{3,4,6,7}:{(15,1),(19,1),(42,1),(51,1),(52,1),(53,1),(58,1),(102,1),(107,1),(147,1),(150,1)}
        33:{2,3,5,6}:{(16,1),(43,1),(49,1),(54,1),(55,1),(95,1),(100,1),(140,1),(142,1),(148,1),(152,1)}
        34:{1,2,5,7}:{(16,1),(17,1),(18,1),(50,1),(55,1),(56,1),(143,1)}
        35:{1,3,6,7}:{(17,1),(19,1),(45,1),(51,1),(56,1),(102,1),(181,1)}
        36:{2,6,7}:{(18,1),(19,1)}
        37:{3,5,6,7}:{(19,1),(20,1),(53,1),(57,1),(58,1),(107,1)}
        38:{2,3,5}:{(22,1),(28,1),(59,1),(60,1),(62,1)}
        39:{1,2,4,5}:{(21,1),(22,1),(24,1),(29,1),(60,1),(62,1),(67,1),(79,1),(111,1),(120,1)}
        40:{1,4,5,7}:{(21,1),(23,1),(25,1),(30,1),(64,1),(76,1),(167,1),(186,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(31,1),(61,1),(65,1),(77,1),(124,1),(155,1)}
        42:{3,4,6}:{(23,1),(64,1),(65,1),(66,1),(116,1),(161,1)}
        43:{2,3,5}:{(24,1),(26,1),(62,1),(67,1)}
        44:{1,2,5,7}:{(24,1),(25,1),(27,1),(68,1),(69,1),(194,1),(205,1)}
        45:{1,3,6}:{(25,1),(64,1),(69,1),(116,1),(163,1)}
        46:{2,3,7}:{(26,1),(27,1),(74,1),(209,1)}
        47:{1,2,6}:{(28,1),(60,1),(70,1),(71,1)}
        48:{2,3,7}:{(28,1),(31,1),(71,1),(74,1)}
        49:{3,6}:{(29,1),(62,1),(74,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(71,1),(74,1),(80,1),(121,1)}
        51:{1,4,6,7}:{(30,1),(32,1),(35,1),(64,1),(76,1),(131,1),(167,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(36,1),(65,1),(72,1),(77,1),(124,1)}
        53:{3,5,7}:{(32,1),(66,1),(76,1),(77,1),(78,1)}
        54:{2,4,6}:{(33,1),(67,1),(73,1),(79,1),(80,1),(161,1)}
        55:{2,3,5,7}:{(33,1),(34,1),(74,1),(80,1),(81,1),(125,1),(127,1),(130,1)}
        56:{1,2,6,7}:{(34,1),(35,1),(36,1),(69,1),(81,1),(163,1),(194,1)}
        57:{2,5,6,7}:{(36,1),(37,1),(77,1),(82,1)}
        58:{4,6,7}:{(37,1),(78,1)}
        59:{2,3,4}:{(38,1),(83,1),(88,1)}
        60:{1,2,5}:{(38,1),(47,1),(83,1),(85,1)}
        61:{2,3,5,7}:{(38,1),(41,1),(48,1),(84,1),(86,1),(87,1),(89,1),(134,1),(202,1)}
        62:{3,5}:{(39,1),(49,1),(88,1)}
        63:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(44,1),(50,1),(86,1),(89,1),(90,1),(94,1),(103,1),(105,1),(135,1),(142,1),(143,1),(146,1),(150,1),(171,1),(173,1),(177,1),(179,1),(202,1)}
        64:{1,4,6}:{(40,1),(42,1),(45,1),(91,1)}
        65:{2,4,6}:{(41,1),(42,1),(87,1),(92,1)}
        66:{3,5,6}:{(42,1),(53,1),(91,1),(92,1),(93,1)}
        67:{2,4}:{(43,1),(88,1)}
        68:{2,3,5,7}:{(43,1),(44,1),(46,1),(89,1),(94,1),(95,1),(142,1),(182,1),(197,1),(202,1)}
        69:{1,2,6}:{(44,1),(45,1),(95,1)}
        70:{1,3,6}:{(47,1),(49,1),(85,1),(96,1),(97,1)}
        71:{1,2,7}:{(47,1),(48,1),(97,1)}
        72:{2,3,6,7}:{(48,1),(52,1),(87,1),(98,1),(99,1),(102,1),(107,1)}
        73:{3,4,6}:{(49,1),(54,1),(88,1),(96,1),(100,1),(101,1),(148,1)}
        74:{3,7}:{(49,1),(50,1)}
        75:{1,2,4,6,7}:{(50,1),(51,1),(52,1),(56,1),(90,1),(98,1),(102,1),(103,1),(106,1),(144,1),(146,1),(150,1)}
        76:{1,5,7}:{(51,1),(53,1),(91,1)}
        77:{2,5,7}:{(52,1),(53,1),(92,1)}
        78:{4,5,7}:{(53,1),(58,1),(93,1),(150,1)}
        79:{2,4,5}:{(54,1),(100,1),(142,1),(177,1)}
        80:{2,4,7}:{(54,1),(55,1),(101,1),(150,1)}
        81:{2,3,6,7}:{(55,1),(56,1),(95,1),(102,1),(106,1),(148,1),(182,1)}
        82:{2,4,6,7}:{(57,1),(58,1),(104,1),(107,1)}
        83:{1,2,4}:{(59,1),(60,1),(108,1),(111,1)}
        84:{2,3,4,7}:{(59,1),(61,1),(109,1),(110,1),(115,1),(124,1),(166,1),(193,1)}
        85:{1,3,5}:{(60,1),(62,1),(70,1),(108,1),(111,1),(120,1)}
        86:{1,2,5,7}:{(60,1),(61,1),(71,1),(109,1),(112,1),(113,1),(154,1)}
        87:{2,3,6}:{(61,1),(65,1),(113,1),(116,1),(207,1)}
        88:{3,4}:{(62,1),(67,1),(111,1)}
        89:{3,5,7}:{(62,1),(63,1),(74,1),(115,1),(116,1),(160,1),(166,1),(185,1)}
        90:{1,2,4,6}:{(63,1),(64,1),(65,1),(69,1),(113,1),(116,1),(117,1),(119,1),(129,1),(156,1),(161,1),(163,1),(191,1),(207,1)}
        91:{1,5,6}:{(64,1),(66,1),(76,1)}
        92:{2,5,6}:{(65,1),(66,1),(77,1)}
        93:{4,5,6}:{(66,1),(78,1),(161,1)}
        94:{2,4,7}:{(67,1),(68,1),(115,1),(119,1),(204,1)}
        95:{2,3,6}:{(68,1),(69,1),(116,1),(119,1),(207,1)}
        96:{1,4,6}:{(70,1),(73,1),(111,1),(120,1),(121,1),(163,1)}
        97:{1,3,7}:{(70,1),(71,1),(74,1),(121,1)}
        98:{1,2,6,7}:{(71,1),(72,1),(113,1),(122,1),(123,1),(131,1),(207,1)}
        99:{2,3,5,7}:{(72,1),(77,1),(114,1),(123,1),(124,1),(127,1),(128,1),(166,1)}
       100:{3,5}:{(73,1),(79,1),(120,1)}
       101:{3,4,7}:{(73,1),(74,1),(80,1),(121,1),(125,1)}
       102:{3,6,7}:{(74,1),(75,1),(116,1),(127,1),(166,1)}
       103:{1,2,5,7}:{(75,1),(76,1),(77,1),(117,1),(127,1),(130,1),(164,1)}
       104:{2,4,5,7}:{(77,1),(78,1),(82,1),(118,1),(124,1),(128,1)}
       105:{2,4,5,7}:{(79,1),(80,1),(125,1),(129,1),(130,1),(169,1)}
       106:{2,4,6,7}:{(80,1),(81,1),(119,1),(126,1),(129,1),(130,1),(193,1),(207,1)}
       107:{3,6,7}:{(82,1),(128,1),(131,1)}
       108:{1,3}:{(83,1)}
       109:{1,2,4,7}:{(83,1),(84,1),(86,1),(132,1),(133,1),(135,1)}
       110:{2,3,4,6}:{(84,1),(87,1),(133,1),(134,1),(138,1),(139,1),(175,1),(195,1),(199,1)}
       111:{1,4}:{(85,1),(88,1)}
       112:{1,3,5,7}:{(85,1),(86,1),(89,1),(97,1),(132,1),(135,1),(136,1),(143,1),(170,1),(173,1)}
       113:{1,2,6}:{(86,1),(87,1),(136,1)}
       114:{2,3,5,6}:{(87,1),(92,1),(99,1),(134,1),(137,1),(138,1),(140,1),(141,1),(175,1)}
       115:{3,4,7}:{(88,1),(89,1),(94,1),(135,1),(139,1),(150,1),(195,1)}
       116:{3,6}:{(89,1),(90,1)}
       117:{1,2,5,6}:{(90,1),(91,1),(92,1),(103,1),(140,1),(142,1),(152,1),(173,1),(178,1)}
       118:{2,4,5,6}:{(92,1),(93,1),(104,1),(138,1),(141,1)}
       119:{2,4,6}:{(94,1),(95,1),(139,1),(142,1)}
       120:{1,5}:{(96,1),(100,1)}
       121:{1,4,7}:{(96,1),(97,1),(101,1),(143,1)}
       122:{1,3,6,7}:{(97,1),(98,1),(102,1),(136,1),(144,1),(145,1),(201,1)}
       123:{1,2,5,7}:{(98,1),(99,1),(137,1),(145,1),(146,1),(151,1),(202,1)}
       124:{2,4,7}:{(99,1),(138,1),(147,1),(150,1)}
       125:{3,5,7}:{(100,1),(101,1),(105,1),(143,1),(148,1)}
       126:{3,4,6,7}:{(101,1),(102,1),(106,1),(139,1),(144,1),(148,1),(149,1),(150,1),(180,1),(183,1),(201,1)}
       127:{3,5,7}:{(102,1),(103,1),(140,1),(150,1)}
       128:{3,5,7}:{(104,1),(107,1),(141,1),(147,1),(151,1)}
       129:{2,4,6}:{(105,1),(148,1),(152,1),(183,1)}
       130:{2,5,7}:{(106,1),(142,1),(149,1),(152,1)}
       131:{1,6,7}:{(107,1),(151,1)}
       132:{1,3,7}:{(108,1),(109,1),(153,1),(166,1)}
       133:{1,2,4,6}:{(109,1),(110,1),(113,1),(153,1),(154,1),(156,1),(184,1)}
       134:{2,3,5}:{(110,1),(154,1),(155,1),(160,1),(185,1),(206,1)}
       135:{1,4,7}:{(111,1),(112,1),(115,1),(156,1),(184,1)}
       136:{1,3,6}:{(112,1),(113,1),(116,1),(156,1),(163,1)}
       137:{1,2,5,6}:{(113,1),(114,1),(123,1),(154,1),(157,1),(158,1),(162,1),(206,1),(207,1)}
       138:{2,4,6}:{(114,1),(124,1),(155,1),(159,1),(161,1)}
       139:{3,4,6}:{(115,1),(116,1),(119,1),(156,1),(160,1),(161,1)}
       140:{3,5,6}:{(116,1),(117,1),(127,1),(160,1),(161,1)}
       141:{3,5,6}:{(118,1),(128,1),(159,1),(162,1)}
       142:{2,5}:{(119,1),(160,1)}
       143:{1,5,7}:{(120,1),(121,1),(125,1),(163,1)}
       144:{1,4,6,7}:{(121,1),(122,1),(126,1),(156,1),(163,1),(164,1),(165,1),(191,1)}
       145:{1,3,5,7}:{(122,1),(123,1),(127,1),(157,1),(164,1),(165,1),(166,1),(192,1)}
       146:{1,2,4,7}:{(123,1),(124,1),(158,1),(165,1),(166,1),(167,1),(193,1),(194,1)}
       147:{3,4,7}:{(124,1),(128,1),(159,1),(166,1),(167,1)}
       148:{3,6}:{(125,1),(129,1),(163,1)}
       149:{3,5,7}:{(126,1),(130,1),(160,1),(164,1),(168,1),(169,1)}
       150:{4,7}:{(127,1),(161,1)}
       151:{1,5,7}:{(128,1),(131,1),(162,1),(167,1)}
       152:{2,5,6}:{(129,1),(130,1),(168,1),(207,1)}
       153:{1,3,6}:{(132,1),(133,1),(170,1),(175,1)}
       154:{1,2,5}:{(133,1),(134,1),(170,1),(173,1)}
       155:{2,4,5}:{(134,1),(138,1),(172,1),(177,1)}
       156:{1,4,6}:{(135,1),(136,1),(139,1),(173,1)}
       157:{1,3,5,6}:{(136,1),(137,1),(140,1),(145,1),(170,1),(173,1),(174,1),(175,1),(178,1),(198,1),(201,1)}
       158:{1,2,4,6}:{(137,1),(138,1),(146,1),(171,1),(174,1),(175,1),(176,1),(199,1),(200,1)}
       159:{3,4,6}:{(138,1),(141,1),(147,1),(172,1),(175,1),(176,1)}
       160:{3,5}:{(139,1),(142,1),(173,1),(177,1)}
       161:{4,6}:{(140,1),(150,1),(177,1)}
       162:{1,5,6}:{(141,1),(151,1),(176,1)}
       163:{1,6}:{(143,1),(148,1)}
       164:{1,5,7}:{(144,1),(149,1),(173,1),(178,1)}
       165:{1,4,7}:{(145,1),(150,1),(174,1),(180,1)}
       166:{3,7}:{(146,1),(175,1)}
       167:{1,4,7}:{(147,1),(151,1),(176,1),(181,1)}
       168:{3,5,6}:{(148,1),(149,1),(152,1),(178,1),(183,1),(201,1)}
       169:{4,5,7}:{(149,1),(150,1),(177,1),(183,1)}
       170:{1,3,5}:{(153,1),(154,1),(184,1),(185,1)}
       171:{1,2,4,5}:{(154,1),(155,1),(158,1),(184,1),(185,1),(186,1),(187,1),(204,1),(205,1),(206,1)}
       172:{3,4,5}:{(155,1),(159,1),(185,1),(186,1)}
       173:{1,5}:{(156,1),(160,1)}
       174:{1,4,6}:{(157,1),(161,1),(165,1),(184,1),(187,1),(188,1)}
       175:{3,6}:{(158,1),(166,1),(185,1)}
       176:{1,4,6}:{(159,1),(162,1),(167,1),(186,1),(189,1)}
       177:{4,5}:{(160,1),(161,1)}
       178:{1,5,6}:{(163,1),(164,1),(168,1),(191,1)}
       179:{1,4,5,7}:{(164,1),(165,1),(169,1),(187,1),(191,1),(192,1)}
       180:{3,4,7}:{(165,1),(166,1),(188,1),(192,1),(193,1)}
       181:{1,3,7}:{(166,1),(167,1),(189,1),(194,1)}
       182:{2,3,7}:{(166,1),(190,1),(193,1),(194,1)}
       183:{4,6}:{(168,1),(169,1)}
       184:{1,4}:{(170,1),(195,1)}
       185:{3,5}:{(171,1),(175,1),(195,1)}
       186:{1,4,5}:{(172,1),(176,1),(196,1)}
       187:{1,4,5}:{(173,1),(174,1),(177,1),(198,1)}
       188:{3,4,6}:{(174,1),(175,1),(180,1),(195,1),(198,1),(199,1),(201,1)}
       189:{1,3,6}:{(175,1),(176,1),(181,1),(196,1),(200,1)}
       190:{2,3,6}:{(175,1),(182,1),(197,1),(199,1),(200,1)}
       191:{1,4,6}:{(178,1),(179,1),(183,1),(201,1)}
       192:{3,5,7}:{(179,1),(180,1),(198,1),(201,1),(202,1)}
       193:{2,4,7}:{(180,1),(182,1),(199,1),(202,1)}
       194:{1,2,7}:{(181,1),(182,1),(200,1)}
       195:{3,4}:{(184,1),(185,1),(204,1)}
       196:{1,3,5}:{(185,1),(186,1),(189,1),(203,1),(205,1)}
       197:{2,3,5}:{(185,1),(190,1),(204,1),(205,1),(206,1),(209,1)}
       198:{3,5}:{(187,1),(188,1),(206,1)}
       199:{2,4,6}:{(188,1),(190,1),(193,1),(204,1),(206,1),(207,1)}
       200:{1,2,6}:{(189,1),(190,1),(194,1),(205,1)}
       201:{3,6}:{(191,1),(192,1),(207,1)}
       202:{2,5,7}:{(192,1),(193,1),(206,1),(207,1)}
       203:{1,3,4}:{(195,1),(196,1),(208,1)}
       204:{2,4}:{(195,1),(197,1)}
       205:{1,2,5}:{(196,1),(197,1),(200,1),(208,1)}
       206:{2,5}:{(198,1),(199,1)}
       207:{2,6}:{(201,1),(202,1)}
       208:{1,2,4}:{(203,1),(204,1),(205,1),(209,1)}
       209:{2,3}:{(208,1)}

 475 :   0:{2,4,5,6}:{(1,1),(2,1),(14,1),(92,1),(93,1)}
         1:{3,5,6}:{(0,1),(4,1),(5,1),(7,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(8,1),(31,1),(77,1),(78,1)}
         3:{2,3,4,6}:{(10,1),(11,1),(12,1),(14,1),(45,1),(49,1),(88,1),(96,1),(139,1)}
         4:{3,4,6}:{(1,1),(9,1),(13,1),(14,1),(15,1),(49,1)}
         5:{1,5,6}:{(1,1),(13,1),(17,1)}
         6:{2,3,5,6}:{(1,1),(10,1),(14,1),(16,1),(18,1),(45,1),(49,1),(92,1),(140,1)}
         7:{3,5,7}:{(1,1),(2,1),(15,1),(17,1),(19,1)}
         8:{2,4,6,7}:{(2,1),(19,1),(20,1),(58,1)}
         9:{3,4,5}:{(4,1),(21,1),(22,1),(62,1)}
        10:{2,3,5}:{(3,1),(22,1),(24,1),(62,1),(120,1),(160,1)}
        11:{1,2,4,6}:{(3,1),(24,1),(26,1),(27,1),(67,1),(69,1),(119,1)}
        12:{2,3,4,7}:{(3,1),(25,1),(27,1),(31,1),(74,1),(115,1),(121,1),(204,1)}
        13:{1,4,6}:{(4,1),(5,1),(21,1),(28,1),(30,1)}
        14:{2,4,6}:{(4,1),(6,1),(22,1),(31,1),(161,1)}
        15:{3,4,7}:{(4,1),(7,1),(30,1),(31,1),(74,1)}
        16:{1,2,5,6}:{(5,1),(6,1),(24,1),(29,1),(33,1),(34,1),(69,1),(120,1),(163,1)}
        17:{1,5,7}:{(5,1),(7,1),(30,1),(35,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(31,1),(34,1),(36,1),(74,1),(77,1),(127,1)}
        19:{3,6,7}:{(7,1),(8,1),(35,1)}
        20:{2,5,6,7}:{(8,1),(37,1),(77,1),(131,1)}
        21:{1,4,5}:{(9,1),(13,1),(38,1)}
        22:{2,4,5}:{(9,1),(10,1),(14,1),(177,1)}
        23:{3,4,5,7}:{(9,1),(15,1),(40,1),(41,1),(42,1),(53,1),(89,1),(147,1),(150,1),(172,1),(177,1)}
        24:{1,2,5}:{(10,1),(11,1),(43,1),(142,1)}
        25:{2,3,5,7}:{(10,1),(12,1),(41,1),(44,1),(45,1),(89,1),(143,1),(182,1),(197,1)}
        26:{1,3,6}:{(11,1),(43,1),(46,1),(49,1)}
        27:{1,2,4,7}:{(11,1),(12,1),(44,1),(46,1),(94,1),(208,1)}
        28:{1,3,6}:{(13,1),(38,1),(47,1),(48,1),(49,1)}
        29:{1,2,4,6}:{(13,1),(14,1),(16,1),(39,1),(47,1),(49,1),(50,1),(54,1),(96,1)}
        30:{1,4,7}:{(13,1),(15,1),(17,1),(48,1)}
        31:{2,4,7}:{(14,1),(15,1),(18,1),(150,1)}
        32:{3,4,6,7}:{(15,1),(19,1),(42,1),(51,1),(52,1),(53,1),(58,1),(102,1),(107,1),(147,1),(150,1)}
        33:{1,3,5,6}:{(16,1),(43,1),(49,1),(54,1),(55,1),(95,1),(100,1),(140,1),(142,1),(148,1),(152,1)}
        34:{1,2,5,7}:{(16,1),(17,1),(18,1),(50,1),(55,1),(56,1),(143,1)}
        35:{1,6,7}:{(17,1),(19,1)}
        36:{2,3,6,7}:{(18,1),(19,1),(45,1),(52,1),(56,1),(102,1),(182,1)}
        37:{3,5,6,7}:{(19,1),(20,1),(53,1),(57,1),(58,1),(107,1)}
        38:{1,3,5}:{(21,1),(28,1),(59,1),(60,1),(62,1)}
        39:{1,2,4,5}:{(21,1),(22,1),(24,1),(29,1),(60,1),(62,1),(67,1),(79,1),(111,1),(120,1)}
        40:{1,4,5,7}:{(21,1),(23,1),(30,1),(61,1),(64,1),(76,1),(124,1),(155,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(25,1),(31,1),(65,1),(77,1),(167,1),(186,1)}
        42:{3,4,6}:{(23,1),(64,1),(65,1),(66,1),(116,1),(161,1)}
        43:{1,3,5}:{(24,1),(26,1),(62,1),(67,1)}
        44:{1,2,5,7}:{(24,1),(25,1),(27,1),(68,1),(69,1),(194,1),(205,1)}
        45:{2,3,6}:{(25,1),(65,1),(69,1),(116,1),(163,1)}
        46:{1,3,7}:{(26,1),(27,1),(74,1),(209,1)}
        47:{1,2,6}:{(28,1),(60,1),(70,1),(71,1)}
        48:{1,3,7}:{(28,1),(30,1),(71,1),(74,1)}
        49:{3,6}:{(29,1),(62,1),(74,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(71,1),(74,1),(80,1),(121,1)}
        51:{1,4,6,7}:{(30,1),(32,1),(35,1),(64,1),(72,1),(76,1),(124,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(36,1),(65,1),(77,1),(131,1),(167,1)}
        53:{3,5,7}:{(32,1),(66,1),(76,1),(77,1),(78,1)}
        54:{1,4,6}:{(33,1),(67,1),(73,1),(79,1),(80,1),(161,1)}
        55:{1,3,5,7}:{(33,1),(34,1),(74,1),(80,1),(81,1),(125,1),(127,1),(130,1)}
        56:{1,2,6,7}:{(34,1),(35,1),(36,1),(69,1),(81,1),(163,1),(194,1)}
        57:{1,5,6,7}:{(35,1),(37,1),(76,1),(82,1)}
        58:{4,6,7}:{(37,1),(78,1)}
        59:{1,3,4}:{(38,1),(83,1),(88,1)}
        60:{1,2,5}:{(38,1),(47,1),(83,1),(85,1)}
        61:{1,3,5,7}:{(38,1),(40,1),(48,1),(84,1),(86,1),(87,1),(89,1),(134,1),(202,1)}
        62:{3,5}:{(39,1),(49,1),(88,1)}
        63:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(44,1),(50,1),(86,1),(89,1),(90,1),(94,1),(103,1),(105,1),(135,1),(142,1),(143,1),(146,1),(150,1),(171,1),(173,1),(177,1),(179,1),(202,1)}
        64:{1,4,6}:{(40,1),(42,1),(87,1),(91,1)}
        65:{2,4,6}:{(41,1),(42,1),(45,1),(92,1)}
        66:{3,5,6}:{(42,1),(53,1),(91,1),(92,1),(93,1)}
        67:{1,4}:{(43,1),(88,1)}
        68:{1,3,5,7}:{(43,1),(44,1),(46,1),(89,1),(94,1),(95,1),(142,1),(181,1),(196,1),(202,1)}
        69:{1,2,6}:{(44,1),(45,1),(95,1)}
        70:{2,3,6}:{(47,1),(49,1),(85,1),(96,1),(97,1)}
        71:{1,2,7}:{(47,1),(48,1),(97,1)}
        72:{1,3,6,7}:{(48,1),(51,1),(87,1),(98,1),(99,1),(102,1),(107,1)}
        73:{3,4,6}:{(49,1),(54,1),(88,1),(96,1),(100,1),(101,1),(148,1)}
        74:{3,7}:{(49,1),(50,1)}
        75:{1,2,4,6,7}:{(50,1),(51,1),(52,1),(56,1),(90,1),(98,1),(102,1),(103,1),(106,1),(144,1),(146,1),(150,1)}
        76:{1,5,7}:{(51,1),(53,1),(91,1)}
        77:{2,5,7}:{(52,1),(53,1),(92,1)}
        78:{4,5,7}:{(53,1),(58,1),(93,1),(150,1)}
        79:{1,4,5}:{(54,1),(100,1),(142,1),(177,1)}
        80:{1,4,7}:{(54,1),(55,1),(101,1),(150,1)}
        81:{1,3,6,7}:{(55,1),(56,1),(95,1),(102,1),(106,1),(148,1),(181,1)}
        82:{1,4,6,7}:{(57,1),(58,1),(104,1),(107,1)}
        83:{1,2,4}:{(59,1),(60,1),(108,1),(111,1)}
        84:{1,3,4,7}:{(59,1),(61,1),(109,1),(110,1),(115,1),(124,1),(166,1),(193,1)}
        85:{2,3,5}:{(60,1),(62,1),(70,1),(108,1),(111,1),(120,1)}
        86:{1,2,5,7}:{(60,1),(61,1),(71,1),(109,1),(112,1),(113,1),(154,1)}
        87:{1,3,6}:{(61,1),(64,1),(113,1),(116,1),(207,1)}
        88:{3,4}:{(62,1),(67,1),(111,1)}
        89:{3,5,7}:{(62,1),(63,1),(74,1),(115,1),(116,1),(160,1),(166,1),(185,1)}
        90:{1,2,4,6}:{(63,1),(64,1),(65,1),(69,1),(113,1),(116,1),(117,1),(119,1),(129,1),(156,1),(161,1),(163,1),(191,1),(207,1)}
        91:{1,5,6}:{(64,1),(66,1),(76,1)}
        92:{2,5,6}:{(65,1),(66,1),(77,1)}
        93:{4,5,6}:{(66,1),(78,1),(161,1)}
        94:{1,4,7}:{(67,1),(68,1),(115,1),(119,1),(203,1)}
        95:{1,3,6}:{(68,1),(69,1),(116,1),(119,1),(207,1)}
        96:{2,4,6}:{(70,1),(73,1),(111,1),(120,1),(121,1),(163,1)}
        97:{2,3,7}:{(70,1),(71,1),(74,1),(121,1)}
        98:{1,2,6,7}:{(71,1),(72,1),(113,1),(122,1),(123,1),(131,1),(207,1)}
        99:{1,3,5,7}:{(72,1),(76,1),(114,1),(123,1),(124,1),(127,1),(128,1),(166,1)}
       100:{3,5}:{(73,1),(79,1),(120,1)}
       101:{3,4,7}:{(73,1),(74,1),(80,1),(121,1),(125,1)}
       102:{3,6,7}:{(74,1),(75,1),(116,1),(127,1),(166,1)}
       103:{1,2,5,7}:{(75,1),(76,1),(77,1),(117,1),(127,1),(130,1),(164,1)}
       104:{1,4,5,7}:{(76,1),(78,1),(82,1),(118,1),(124,1),(128,1)}
       105:{1,4,5,7}:{(79,1),(80,1),(125,1),(129,1),(130,1),(169,1)}
       106:{1,4,6,7}:{(80,1),(81,1),(119,1),(126,1),(129,1),(130,1),(193,1),(207,1)}
       107:{3,6,7}:{(82,1),(128,1),(131,1)}
       108:{2,3}:{(83,1)}
       109:{1,2,4,7}:{(83,1),(84,1),(86,1),(132,1),(133,1),(135,1)}
       110:{1,3,4,6}:{(84,1),(87,1),(133,1),(134,1),(138,1),(139,1),(175,1),(195,1),(199,1)}
       111:{2,4}:{(85,1),(88,1)}
       112:{2,3,5,7}:{(85,1),(86,1),(89,1),(97,1),(132,1),(135,1),(136,1),(143,1),(170,1),(173,1)}
       113:{1,2,6}:{(86,1),(87,1),(136,1)}
       114:{1,3,5,6}:{(87,1),(91,1),(99,1),(134,1),(137,1),(138,1),(140,1),(141,1),(175,1)}
       115:{3,4,7}:{(88,1),(89,1),(94,1),(135,1),(139,1),(150,1),(195,1)}
       116:{3,6}:{(89,1),(90,1)}
       117:{1,2,5,6}:{(90,1),(91,1),(92,1),(103,1),(140,1),(142,1),(152,1),(173,1),(178,1)}
       118:{1,4,5,6}:{(91,1),(93,1),(104,1),(138,1),(141,1)}
       119:{1,4,6}:{(94,1),(95,1),(139,1),(142,1)}
       120:{2,5}:{(96,1),(100,1)}
       121:{2,4,7}:{(96,1),(97,1),(101,1),(143,1)}
       122:{2,3,6,7}:{(97,1),(98,1),(102,1),(136,1),(144,1),(145,1),(201,1)}
       123:{1,2,5,7}:{(98,1),(99,1),(137,1),(145,1),(146,1),(151,1),(202,1)}
       124:{1,4,7}:{(99,1),(138,1),(147,1),(150,1)}
       125:{3,5,7}:{(100,1),(101,1),(105,1),(143,1),(148,1)}
       126:{3,4,6,7}:{(101,1),(102,1),(106,1),(139,1),(144,1),(148,1),(149,1),(150,1),(180,1),(183,1),(201,1)}
       127:{3,5,7}:{(102,1),(103,1),(140,1),(150,1)}
       128:{3,5,7}:{(104,1),(107,1),(141,1),(147,1),(151,1)}
       129:{1,4,6}:{(105,1),(148,1),(152,1),(183,1)}
       130:{1,5,7}:{(106,1),(142,1),(149,1),(152,1)}
       131:{2,6,7}:{(107,1),(151,1)}
       132:{2,3,7}:{(108,1),(109,1),(153,1),(166,1)}
       133:{1,2,4,6}:{(109,1),(110,1),(113,1),(153,1),(154,1),(156,1),(184,1)}
       134:{1,3,5}:{(110,1),(154,1),(155,1),(160,1),(185,1),(206,1)}
       135:{2,4,7}:{(111,1),(112,1),(115,1),(156,1),(184,1)}
       136:{2,3,6}:{(112,1),(113,1),(116,1),(156,1),(163,1)}
       137:{1,2,5,6}:{(113,1),(114,1),(123,1),(154,1),(157,1),(158,1),(162,1),(206,1),(207,1)}
       138:{1,4,6}:{(114,1),(124,1),(155,1),(159,1),(161,1)}
       139:{3,4,6}:{(115,1),(116,1),(119,1),(156,1),(160,1),(161,1)}
       140:{3,5,6}:{(116,1),(117,1),(127,1),(160,1),(161,1)}
       141:{3,5,6}:{(118,1),(128,1),(159,1),(162,1)}
       142:{1,5}:{(119,1),(160,1)}
       143:{2,5,7}:{(120,1),(121,1),(125,1),(163,1)}
       144:{2,4,6,7}:{(121,1),(122,1),(126,1),(156,1),(163,1),(164,1),(165,1),(191,1)}
       145:{2,3,5,7}:{(122,1),(123,1),(127,1),(157,1),(164,1),(165,1),(166,1),(192,1)}
       146:{1,2,4,7}:{(123,1),(124,1),(158,1),(165,1),(166,1),(167,1),(193,1),(194,1)}
       147:{3,4,7}:{(124,1),(128,1),(159,1),(166,1),(167,1)}
       148:{3,6}:{(125,1),(129,1),(163,1)}
       149:{3,5,7}:{(126,1),(130,1),(160,1),(164,1),(168,1),(169,1)}
       150:{4,7}:{(127,1),(161,1)}
       151:{2,5,7}:{(128,1),(131,1),(162,1),(167,1)}
       152:{1,5,6}:{(129,1),(130,1),(168,1),(207,1)}
       153:{2,3,6}:{(132,1),(133,1),(170,1),(175,1)}
       154:{1,2,5}:{(133,1),(134,1),(170,1),(173,1)}
       155:{1,4,5}:{(134,1),(138,1),(172,1),(177,1)}
       156:{2,4,6}:{(135,1),(136,1),(139,1),(173,1)}
       157:{2,3,5,6}:{(136,1),(137,1),(140,1),(145,1),(170,1),(173,1),(174,1),(175,1),(178,1),(198,1),(201,1)}
       158:{1,2,4,6}:{(137,1),(138,1),(146,1),(171,1),(174,1),(175,1),(176,1),(199,1),(200,1)}
       159:{3,4,6}:{(138,1),(141,1),(147,1),(172,1),(175,1),(176,1)}
       160:{3,5}:{(139,1),(142,1),(173,1),(177,1)}
       161:{4,6}:{(140,1),(150,1),(177,1)}
       162:{2,5,6}:{(141,1),(151,1),(176,1)}
       163:{2,6}:{(143,1),(148,1)}
       164:{2,5,7}:{(144,1),(149,1),(173,1),(178,1)}
       165:{2,4,7}:{(145,1),(150,1),(174,1),(180,1)}
       166:{3,7}:{(146,1),(175,1)}
       167:{2,4,7}:{(147,1),(151,1),(176,1),(182,1)}
       168:{3,5,6}:{(148,1),(149,1),(152,1),(178,1),(183,1),(201,1)}
       169:{4,5,7}:{(149,1),(150,1),(177,1),(183,1)}
       170:{2,3,5}:{(153,1),(154,1),(184,1),(185,1)}
       171:{1,2,4,5}:{(154,1),(155,1),(158,1),(184,1),(185,1),(186,1),(187,1),(203,1),(205,1),(206,1)}
       172:{3,4,5}:{(155,1),(159,1),(185,1),(186,1)}
       173:{2,5}:{(156,1),(160,1)}
       174:{2,4,6}:{(157,1),(161,1),(165,1),(184,1),(187,1),(188,1)}
       175:{3,6}:{(158,1),(166,1),(185,1)}
       176:{2,4,6}:{(159,1),(162,1),(167,1),(186,1),(190,1)}
       177:{4,5}:{(160,1),(161,1)}
       178:{2,5,6}:{(163,1),(164,1),(168,1),(191,1)}
       179:{2,4,5,7}:{(164,1),(165,1),(169,1),(187,1),(191,1),(192,1)}
       180:{3,4,7}:{(165,1),(166,1),(188,1),(192,1),(193,1)}
       181:{1,3,7}:{(166,1),(189,1),(193,1),(194,1)}
       182:{2,3,7}:{(166,1),(167,1),(190,1),(194,1)}
       183:{4,6}:{(168,1),(169,1)}
       184:{2,4}:{(170,1),(195,1)}
       185:{3,5}:{(171,1),(175,1),(195,1)}
       186:{2,4,5}:{(172,1),(176,1),(197,1)}
       187:{2,4,5}:{(173,1),(174,1),(177,1),(198,1)}
       188:{3,4,6}:{(174,1),(175,1),(180,1),(195,1),(198,1),(199,1),(201,1)}
       189:{1,3,6}:{(175,1),(181,1),(196,1),(199,1),(200,1)}
       190:{2,3,6}:{(175,1),(176,1),(182,1),(197,1),(200,1)}
       191:{2,4,6}:{(178,1),(179,1),(183,1),(201,1)}
       192:{3,5,7}:{(179,1),(180,1),(198,1),(201,1),(202,1)}
       193:{1,4,7}:{(180,1),(181,1),(199,1),(202,1)}
       194:{1,2,7}:{(181,1),(182,1),(200,1)}
       195:{3,4}:{(184,1),(185,1),(203,1)}
       196:{1,3,5}:{(185,1),(189,1),(203,1),(205,1),(206,1),(209,1)}
       197:{2,3,5}:{(185,1),(186,1),(190,1),(204,1),(205,1)}
       198:{3,5}:{(187,1),(188,1),(206,1)}
       199:{1,4,6}:{(188,1),(189,1),(193,1),(203,1),(206,1),(207,1)}
       200:{1,2,6}:{(189,1),(190,1),(194,1),(205,1)}
       201:{3,6}:{(191,1),(192,1),(207,1)}
       202:{1,5,7}:{(192,1),(193,1),(206,1),(207,1)}
       203:{1,4}:{(195,1),(196,1)}
       204:{2,3,4}:{(195,1),(197,1),(208,1)}
       205:{1,2,5}:{(196,1),(197,1),(200,1),(208,1)}
       206:{1,5}:{(198,1),(199,1)}
       207:{1,6}:{(201,1),(202,1)}
       208:{1,2,4}:{(203,1),(204,1),(205,1),(209,1)}
       209:{1,3}:{(208,1)}

 476 :   0:{3,5,6,7}:{(2,1),(3,1),(4,1),(24,1),(29,1),(33,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(8,1),(33,1),(39,1),(66,1),(70,1),(74,1),(83,1),(146,1),(148,1)}
         2:{1,5,6,7}:{(0,1),(9,1),(53,1),(60,1)}
         3:{2,5,6,7}:{(0,1),(12,1),(46,1),(61,1)}
         4:{4,6,7}:{(0,1),(15,1)}
         5:{4,5,6}:{(15,1),(17,1),(122,1)}
         6:{3,4,6}:{(1,1),(17,1),(18,1),(19,1),(64,1),(122,1)}
         7:{1,4,5,7}:{(1,1),(11,1),(18,1),(60,1),(96,1),(100,1),(104,1),(112,1)}
         8:{2,4,5,7}:{(1,1),(14,1),(19,1),(61,1),(97,1),(101,1),(105,1),(113,1)}
         9:{1,4,6,7}:{(2,1),(4,1),(23,1),(24,1)}
        10:{1,4,5,6}:{(5,1),(23,1),(25,1),(36,1),(78,1)}
        11:{1,3,5,7}:{(7,1),(21,1),(26,1),(27,1),(39,1),(67,1),(127,1),(138,1),(204,1)}
        12:{2,4,6,7}:{(3,1),(4,1),(28,1),(29,1)}
        13:{2,4,5,6}:{(5,1),(28,1),(30,1),(37,1),(88,1)}
        14:{2,3,5,7}:{(8,1),(22,1),(31,1),(32,1),(39,1),(71,1),(124,1),(130,1),(206,1)}
        15:{4,5,7}:{(4,1),(5,1),(33,1),(146,1)}
        16:{3,4,6,7}:{(4,1),(6,1),(24,1),(29,1),(33,1),(34,1),(35,1),(74,1),(83,1),(93,1),(146,1)}
        17:{3,5,6}:{(5,1),(6,1),(33,1),(36,1),(37,1)}
        18:{1,4,6}:{(6,1),(7,1),(26,1),(36,1)}
        19:{2,4,6}:{(6,1),(8,1),(31,1),(37,1)}
        20:{1,2,4,5,7}:{(7,1),(8,1),(27,1),(32,1),(38,1),(39,1),(82,1),(91,1),(92,1),(125,1),(128,1),(131,1),(137,1),(139,1),(145,1),(146,1),(148,1),(181,1),(187,1),(204,1),(206,1)}
        21:{1,3,4,7}:{(11,1),(40,1),(41,1),(65,1),(104,1),(153,1),(158,1),(196,1)}
        22:{2,3,4,7}:{(14,1),(42,1),(43,1),(65,1),(113,1),(149,1),(165,1),(200,1)}
        23:{1,4,5,7}:{(9,1),(10,1),(15,1),(44,1),(60,1),(104,1)}
        24:{3,6,7}:{(9,1),(44,1),(46,1)}
        25:{3,5,6}:{(10,1),(44,1),(47,1),(49,1)}
        26:{1,3,6}:{(11,1),(18,1),(50,1),(64,1),(208,1)}
        27:{1,2,5,7}:{(11,1),(41,1),(50,1),(51,1),(98,1),(154,1),(164,1)}
        28:{2,4,5,7}:{(12,1),(13,1),(15,1),(52,1),(61,1),(113,1)}
        29:{3,6,7}:{(12,1),(52,1),(53,1)}
        30:{3,5,6}:{(13,1),(52,1),(55,1),(56,1)}
        31:{2,3,6}:{(14,1),(19,1),(58,1),(64,1),(209,1)}
        32:{1,2,5,7}:{(14,1),(43,1),(58,1),(59,1),(102,1),(150,1),(157,1)}
        33:{3,5,7}:{(15,1),(16,1),(17,1),(60,1),(61,1)}
        34:{1,4,6,7}:{(16,1),(18,1),(45,1),(53,1),(60,1),(104,1),(112,1)}
        35:{2,4,6,7}:{(16,1),(19,1),(46,1),(54,1),(61,1),(105,1),(113,1)}
        36:{1,5,6}:{(17,1),(18,1),(60,1)}
        37:{2,5,6}:{(17,1),(19,1),(61,1)}
        38:{1,2,4,6}:{(18,1),(19,1),(20,1),(50,1),(58,1),(63,1),(64,1),(111,1),(119,1),(122,1),(198,1),(202,1),(208,1),(209,1)}
        39:{3,5,7}:{(20,1),(64,1),(65,1),(123,1),(151,1),(155,1),(158,1),(165,1)}
        40:{1,3,4,6}:{(21,1),(26,1),(67,1),(68,1),(78,1),(95,1),(135,1),(175,1),(183,1)}
        41:{1,2,4,7}:{(21,1),(27,1),(68,1),(69,1),(82,1),(176,1)}
        42:{2,3,4,6}:{(22,1),(31,1),(71,1),(72,1),(88,1),(95,1),(143,1),(178,1),(189,1)}
        43:{1,2,4,7}:{(22,1),(32,1),(72,1),(73,1),(91,1),(173,1)}
        44:{3,5,7}:{(23,1),(24,1),(25,1),(74,1),(76,1)}
        45:{1,3,6,7}:{(24,1),(26,1),(34,1),(75,1),(77,1),(93,1),(138,1)}
        46:{2,6,7}:{(24,1),(76,1)}
        47:{3,4,6}:{(25,1),(66,1),(74,1),(78,1),(79,1),(135,1)}
        48:{1,3,5,6}:{(25,1),(26,1),(36,1),(67,1),(75,1),(78,1),(80,1),(94,1),(135,1)}
        49:{2,5,6}:{(25,1),(76,1),(79,1)}
        50:{1,2,6}:{(26,1),(27,1),(81,1)}
        51:{2,3,5,7}:{(27,1),(39,1),(69,1),(81,1),(82,1),(126,1),(137,1),(177,1),(185,1),(206,1)}
        52:{3,5,7}:{(28,1),(29,1),(30,1),(83,1),(84,1)}
        53:{1,6,7}:{(29,1),(84,1)}
        54:{2,3,6,7}:{(29,1),(31,1),(35,1),(85,1),(86,1),(93,1),(130,1)}
        55:{3,4,6}:{(30,1),(70,1),(83,1),(87,1),(88,1),(143,1)}
        56:{1,5,6}:{(30,1),(84,1),(87,1)}
        57:{2,3,5,6}:{(30,1),(31,1),(37,1),(71,1),(85,1),(88,1),(89,1),(94,1),(143,1)}
        58:{1,2,6}:{(31,1),(32,1),(90,1)}
        59:{1,3,5,7}:{(32,1),(39,1),(73,1),(90,1),(91,1),(129,1),(145,1),(174,1),(179,1),(204,1)}
        60:{1,5,7}:{(33,1),(34,1),(36,1)}
        61:{2,5,7}:{(33,1),(35,1),(37,1)}
        62:{1,2,4,6,7}:{(34,1),(35,1),(38,1),(77,1),(86,1),(92,1),(93,1),(131,1),(133,1),(139,1),(141,1),(146,1)}
        63:{1,2,5,6}:{(36,1),(37,1),(38,1),(92,1),(94,1),(137,1),(145,1),(182,1),(188,1)}
        64:{3,6}:{(38,1),(39,1)}
        65:{3,4,7}:{(39,1),(82,1),(91,1),(95,1),(146,1),(175,1),(178,1)}
        66:{3,4,5}:{(47,1),(96,1),(97,1),(151,1)}
        67:{1,3,5}:{(40,1),(96,1),(98,1),(123,1),(151,1),(199,1)}
        68:{1,2,4,6}:{(40,1),(41,1),(50,1),(98,1),(99,1),(111,1),(152,1)}
        69:{2,3,7}:{(41,1),(99,1),(158,1),(194,1)}
        70:{3,4,5}:{(55,1),(100,1),(101,1),(155,1)}
        71:{2,3,5}:{(42,1),(101,1),(102,1),(123,1),(155,1),(203,1)}
        72:{1,2,4,6}:{(42,1),(43,1),(58,1),(102,1),(103,1),(119,1),(156,1)}
        73:{1,3,7}:{(43,1),(103,1),(165,1),(192,1)}
        74:{3,4,7}:{(44,1),(47,1),(104,1),(105,1),(158,1)}
        75:{1,3,5,7}:{(44,1),(45,1),(48,1),(60,1),(104,1),(106,1),(120,1),(158,1)}
        76:{2,5,7}:{(44,1),(46,1),(49,1),(105,1)}
        77:{1,2,6,7}:{(45,1),(46,1),(50,1),(106,1),(107,1),(164,1),(208,1)}
        78:{1,4,6}:{(47,1),(48,1),(96,1),(104,1),(122,1)}
        79:{2,4,6}:{(47,1),(49,1),(97,1),(105,1),(108,1)}
        80:{1,2,5,6}:{(48,1),(49,1),(50,1),(98,1),(106,1),(109,1),(110,1),(199,1),(208,1)}
        81:{2,3,6}:{(50,1),(51,1),(64,1),(111,1),(209,1)}
        82:{2,4,7}:{(51,1),(65,1),(111,1),(152,1),(195,1)}
        83:{3,4,7}:{(52,1),(55,1),(112,1),(113,1),(165,1)}
        84:{1,5,7}:{(52,1),(53,1),(56,1),(112,1)}
        85:{2,3,5,7}:{(52,1),(54,1),(57,1),(61,1),(113,1),(114,1),(120,1),(165,1)}
        86:{1,2,6,7}:{(53,1),(54,1),(58,1),(114,1),(115,1),(157,1),(209,1)}
        87:{1,4,6}:{(55,1),(56,1),(100,1),(112,1),(116,1)}
        88:{2,4,6}:{(55,1),(57,1),(101,1),(113,1),(122,1)}
        89:{1,2,5,6}:{(56,1),(57,1),(58,1),(102,1),(114,1),(117,1),(118,1),(203,1),(209,1)}
        90:{1,3,6}:{(58,1),(59,1),(64,1),(119,1),(208,1)}
        91:{1,4,7}:{(59,1),(65,1),(119,1),(156,1),(193,1)}
        92:{1,2,5,7}:{(60,1),(61,1),(62,1),(63,1),(120,1),(160,1),(167,1)}
        93:{3,6,7}:{(62,1),(64,1),(120,1),(158,1),(165,1)}
        94:{3,5,6}:{(63,1),(64,1),(120,1),(122,1),(123,1)}
        95:{3,4,6}:{(64,1),(65,1),(111,1),(119,1),(122,1),(123,1)}
        96:{1,4,5}:{(66,1),(67,1),(78,1),(148,1)}
        97:{2,4,5}:{(66,1),(79,1),(124,1)}
        98:{1,2,5}:{(67,1),(68,1),(126,1),(137,1)}
        99:{2,3,6}:{(68,1),(69,1),(126,1),(135,1)}
       100:{1,4,5}:{(70,1),(87,1),(127,1)}
       101:{2,4,5}:{(70,1),(71,1),(88,1),(148,1)}
       102:{1,2,5}:{(71,1),(72,1),(129,1),(145,1)}
       103:{1,3,6}:{(72,1),(73,1),(129,1),(143,1)}
       104:{1,4,7}:{(74,1),(75,1),(78,1),(146,1)}
       105:{2,4,7}:{(74,1),(76,1),(79,1),(130,1)}
       106:{1,2,5,7}:{(75,1),(76,1),(77,1),(80,1),(131,1),(132,1),(204,1)}
       107:{2,3,6,7}:{(77,1),(81,1),(93,1),(132,1),(133,1),(185,1),(205,1)}
       108:{2,3,6}:{(79,1),(124,1),(130,1),(134,1),(135,1)}
       109:{1,2,4,6}:{(78,1),(79,1),(80,1),(125,1),(131,1),(134,1),(135,1),(136,1),(183,1)}
       110:{2,3,5,6}:{(80,1),(81,1),(94,1),(126,1),(132,1),(135,1),(136,1),(137,1),(182,1),(184,1),(205,1)}
       111:{2,4,6}:{(81,1),(82,1),(95,1),(137,1)}
       112:{1,4,7}:{(83,1),(84,1),(87,1),(138,1)}
       113:{2,4,7}:{(83,1),(85,1),(88,1),(146,1)}
       114:{1,2,5,7}:{(84,1),(85,1),(86,1),(89,1),(139,1),(140,1),(206,1)}
       115:{1,3,6,7}:{(86,1),(90,1),(93,1),(140,1),(141,1),(179,1),(207,1)}
       116:{1,3,6}:{(87,1),(127,1),(138,1),(142,1),(143,1)}
       117:{1,2,4,6}:{(87,1),(88,1),(89,1),(128,1),(139,1),(142,1),(143,1),(144,1),(189,1)}
       118:{1,3,5,6}:{(89,1),(90,1),(94,1),(129,1),(140,1),(143,1),(144,1),(145,1),(188,1),(190,1),(207,1)}
       119:{1,4,6}:{(90,1),(91,1),(95,1),(145,1)}
       120:{3,5,7}:{(92,1),(93,1),(94,1),(146,1)}
       121:{3,4,6,7}:{(93,1),(95,1),(133,1),(141,1),(146,1),(147,1),(180,1),(186,1),(191,1),(205,1),(207,1)}
       122:{4,6}:{(94,1),(146,1),(148,1)}
       123:{3,5}:{(95,1),(137,1),(145,1),(148,1)}
       124:{2,3,5}:{(97,1),(108,1),(149,1),(150,1),(151,1)}
       125:{1,2,4,5}:{(96,1),(97,1),(98,1),(109,1),(150,1),(151,1),(152,1),(163,1),(193,1),(199,1)}
       126:{2,3,5}:{(98,1),(99,1),(151,1),(152,1)}
       127:{1,3,5}:{(100,1),(116,1),(153,1),(154,1),(155,1)}
       128:{1,2,4,5}:{(100,1),(101,1),(102,1),(117,1),(154,1),(155,1),(156,1),(170,1),(195,1),(203,1)}
       129:{1,3,5}:{(102,1),(103,1),(155,1),(156,1)}
       130:{2,3,7}:{(105,1),(108,1),(157,1),(158,1)}
       131:{1,2,4,7}:{(104,1),(105,1),(106,1),(109,1),(157,1),(158,1),(159,1),(196,1)}
       132:{2,3,5,7}:{(106,1),(107,1),(110,1),(120,1),(158,1),(159,1),(160,1),(197,1)}
       133:{2,4,6,7}:{(107,1),(111,1),(121,1),(159,1),(160,1),(198,1),(200,1),(209,1)}
       134:{1,2,6}:{(108,1),(150,1),(157,1),(161,1)}
       135:{3,6}:{(109,1),(151,1),(158,1)}
       136:{2,4,6}:{(110,1),(122,1),(152,1),(159,1),(162,1),(163,1)}
       137:{2,5}:{(111,1),(123,1)}
       138:{1,3,7}:{(112,1),(116,1),(164,1),(165,1)}
       139:{1,2,4,7}:{(112,1),(113,1),(114,1),(117,1),(164,1),(165,1),(166,1),(200,1)}
       140:{1,3,5,7}:{(114,1),(115,1),(118,1),(120,1),(165,1),(166,1),(167,1),(201,1)}
       141:{1,4,6,7}:{(115,1),(119,1),(121,1),(166,1),(167,1),(196,1),(202,1),(208,1)}
       142:{1,2,6}:{(116,1),(154,1),(164,1),(168,1)}
       143:{3,6}:{(117,1),(155,1),(165,1)}
       144:{1,4,6}:{(118,1),(122,1),(156,1),(166,1),(169,1),(170,1)}
       145:{1,5}:{(119,1),(123,1)}
       146:{4,7}:{(120,1),(122,1)}
       147:{3,5,7}:{(121,1),(123,1),(160,1),(167,1),(171,1),(172,1)}
       148:{4,5}:{(122,1),(123,1)}
       149:{2,3,4}:{(124,1),(173,1),(175,1)}
       150:{1,2,5}:{(124,1),(134,1),(173,1),(174,1)}
       151:{3,5}:{(125,1),(135,1),(175,1)}
       152:{2,4}:{(126,1),(175,1)}
       153:{1,3,4}:{(127,1),(176,1),(178,1)}
       154:{1,2,5}:{(127,1),(142,1),(176,1),(177,1)}
       155:{3,5}:{(128,1),(143,1),(178,1)}
       156:{1,4}:{(129,1),(178,1)}
       157:{1,2,7}:{(130,1),(134,1),(179,1)}
       158:{3,7}:{(131,1),(135,1)}
       159:{2,4,7}:{(132,1),(136,1),(146,1),(180,1)}
       160:{2,5,7}:{(133,1),(137,1),(147,1),(182,1)}
       161:{1,3,6}:{(134,1),(135,1),(174,1),(179,1),(183,1)}
       162:{3,4,6}:{(135,1),(136,1),(175,1),(180,1),(183,1),(184,1),(205,1)}
       163:{2,4,5}:{(136,1),(137,1),(148,1),(184,1)}
       164:{1,2,7}:{(138,1),(142,1),(185,1)}
       165:{3,7}:{(139,1),(143,1)}
       166:{1,4,7}:{(140,1),(144,1),(146,1),(186,1)}
       167:{1,5,7}:{(141,1),(145,1),(147,1),(188,1)}
       168:{2,3,6}:{(142,1),(143,1),(177,1),(185,1),(189,1)}
       169:{3,4,6}:{(143,1),(144,1),(178,1),(186,1),(189,1),(190,1),(207,1)}
       170:{1,4,5}:{(144,1),(145,1),(148,1),(190,1)}
       171:{4,5,7}:{(146,1),(147,1),(148,1),(191,1)}
       172:{3,5,6}:{(147,1),(182,1),(188,1),(191,1),(205,1),(207,1)}
       173:{1,2,4}:{(149,1),(150,1),(192,1),(193,1)}
       174:{1,3,5}:{(150,1),(151,1),(161,1),(192,1),(193,1),(199,1)}
       175:{3,4}:{(151,1),(152,1),(193,1)}
       176:{1,2,4}:{(153,1),(154,1),(194,1),(195,1)}
       177:{2,3,5}:{(154,1),(155,1),(168,1),(194,1),(195,1),(203,1)}
       178:{3,4}:{(155,1),(156,1),(195,1)}
       179:{1,3,7}:{(157,1),(158,1),(161,1),(196,1)}
       180:{3,4,7}:{(158,1),(159,1),(162,1),(196,1),(197,1)}
       181:{2,4,5,7}:{(159,1),(160,1),(163,1),(171,1),(197,1),(198,1)}
       182:{2,5,6}:{(160,1),(172,1),(198,1),(209,1)}
       183:{1,4,6}:{(161,1),(162,1),(193,1),(196,1),(199,1),(208,1)}
       184:{3,5}:{(162,1),(163,1),(199,1)}
       185:{2,3,7}:{(164,1),(165,1),(168,1),(200,1)}
       186:{3,4,7}:{(165,1),(166,1),(169,1),(200,1),(201,1)}
       187:{1,4,5,7}:{(166,1),(167,1),(170,1),(171,1),(201,1),(202,1)}
       188:{1,5,6}:{(167,1),(172,1),(202,1),(208,1)}
       189:{2,4,6}:{(168,1),(169,1),(195,1),(200,1),(203,1),(209,1)}
       190:{3,5}:{(169,1),(170,1),(203,1)}
       191:{4,6}:{(171,1),(172,1)}
       192:{1,3}:{(173,1)}
       193:{1,4}:{(174,1),(175,1)}
       194:{2,3}:{(176,1)}
       195:{2,4}:{(177,1),(178,1)}
       196:{1,4,7}:{(179,1),(180,1),(183,1),(204,1)}
       197:{3,5,7}:{(180,1),(181,1),(184,1),(204,1),(205,1)}
       198:{2,4,6}:{(181,1),(182,1),(191,1),(205,1)}
       199:{1,5}:{(183,1),(184,1)}
       200:{2,4,7}:{(185,1),(186,1),(189,1),(206,1)}
       201:{3,5,7}:{(186,1),(187,1),(190,1),(206,1),(207,1)}
       202:{1,4,6}:{(187,1),(188,1),(191,1),(207,1)}
       203:{2,5}:{(189,1),(190,1)}
       204:{1,5,7}:{(196,1),(197,1),(199,1),(208,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{2,5,7}:{(200,1),(201,1),(203,1),(209,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{1,6}:{(204,1),(205,1)}
       209:{2,6}:{(206,1),(207,1)}

 477 :  0:{1,2,5,6}:{(2,1),(3,1),(4,1),(34,1),(35,1),(53,1),(54,1)}
        1:{1,2,4,5}:{(3,1),(5,1),(14,1),(21,1),(22,1),(23,1),(34,1),(35,1)}
        2:{3,5,6}:{(0,1),(6,1),(7,1),(8,1),(24,1),(47,1),(48,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(6,1),(8,1),(9,1),(26,1),(27,1),(30,1)}
        4:{1,2,5,7}:{(0,1),(7,1),(9,1),(10,1),(45,1),(46,1)}
        5:{3,5}:{(1,1),(8,1),(11,1)}
        6:{4,6}:{(2,1),(14,1),(16,1)}
        7:{3,5,7}:{(2,1),(4,1),(16,1),(17,1),(20,1),(41,1)}
        8:{3,6}:{(3,1),(5,1),(20,1)}
        9:{1,2,4,7}:{(3,1),(4,1),(16,1),(20,1),(39,1),(40,1),(42,1)}
       10:{1,2,6,7}:{(4,1),(17,1),(53,1),(54,1)}
       11:{3,4}:{(5,1),(21,1),(22,1),(43,1)}
       12:{1,3,5}:{(5,1),(18,1),(21,1),(23,1),(34,1),(43,1),(51,1)}
       13:{2,3,5}:{(5,1),(19,1),(22,1),(23,1),(35,1),(43,1),(51,1)}
       14:{4,5}:{(6,1),(24,1),(56,1)}
       15:{3,4,6}:{(6,1),(8,1),(11,1),(24,1),(26,1),(27,1),(28,1),(47,1),(49,1),(56,1),(61,1)}
       16:{4,7}:{(6,1),(7,1)}
       17:{3,6,7}:{(7,1),(10,1),(29,1),(47,1)}
       18:{1,3,6}:{(8,1),(12,1),(26,1),(30,1),(31,1),(49,1)}
       19:{2,3,6}:{(8,1),(13,1),(27,1),(30,1),(32,1),(49,1)}
       20:{3,7}:{(8,1),(9,1)}
       21:{1,4}:{(11,1),(12,1),(56,1)}
       22:{2,4}:{(11,1),(13,1),(56,1)}
       23:{1,2,5}:{(12,1),(13,1),(30,1),(33,1)}
       24:{3,5}:{(14,1),(15,1),(34,1),(35,1),(62,1)}
       25:{4,5,7}:{(14,1),(16,1),(36,1),(37,1),(41,1),(59,1),(62,1)}
       26:{1,4,6}:{(15,1),(18,1),(21,1),(34,1),(39,1),(53,1)}
       27:{2,4,6}:{(15,1),(19,1),(22,1),(35,1),(40,1),(54,1)}
       28:{3,4,7}:{(15,1),(16,1),(20,1),(36,1),(39,1),(40,1),(55,1),(59,1)}
       29:{4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
       30:{1,2,6}:{(18,1),(19,1),(23,1),(42,1)}
       31:{1,3,7}:{(18,1),(20,1),(39,1),(42,1),(55,1)}
       32:{2,3,7}:{(19,1),(20,1),(40,1),(42,1),(55,1)}
       33:{1,2,4}:{(21,1),(22,1),(23,1),(43,1)}
       34:{1,5}:{(24,1),(26,1)}
       35:{2,5}:{(24,1),(27,1)}
       36:{3,5,7}:{(24,1),(25,1),(28,1),(45,1),(46,1),(47,1)}
       37:{4,6}:{(25,1),(47,1),(48,1)}
       38:{1,2,4,6}:{(26,1),(27,1),(30,1),(33,1),(44,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       39:{1,4,7}:{(26,1),(28,1),(31,1),(45,1)}
       40:{2,4,7}:{(27,1),(28,1),(32,1),(46,1)}
       41:{5,7}:{(29,1),(48,1)}
       42:{1,2,7}:{(30,1),(31,1),(32,1)}
       43:{3}:{(33,1)}
       44:{1,2,5}:{(34,1),(35,1),(38,1),(51,1),(62,1)}
       45:{1,5,7}:{(34,1),(36,1),(39,1),(53,1)}
       46:{2,5,7}:{(35,1),(36,1),(40,1),(54,1)}
       47:{3,6}:{(36,1),(37,1),(53,1),(54,1)}
       48:{5,6}:{(37,1),(41,1),(62,1)}
       49:{3,6}:{(38,1),(43,1),(51,1),(55,1)}
       50:{1,2,4,7}:{(38,1),(39,1),(40,1),(42,1),(52,1),(55,1),(59,1)}
       51:{3,5}:{(44,1),(49,1),(56,1)}
       52:{1,2,5,7}:{(44,1),(45,1),(46,1),(50,1),(57,1),(58,1)}
       53:{1,6}:{(45,1),(47,1)}
       54:{2,6}:{(46,1),(47,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{4}:{(51,1)}
       57:{3,5,7}:{(51,1),(52,1),(55,1),(59,1),(60,1),(62,1)}
       58:{1,2,6}:{(52,1),(53,1),(54,1),(60,1)}
       59:{4,7}:{(56,1),(57,1),(61,1)}
       60:{3,6}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 478 :   0:{3,4,5,7}:{(1,1),(2,1),(3,1),(16,1),(24,1),(112,1),(115,1),(119,1),(123,1),(125,1),(136,1)}
         1:{1,4,5,7}:{(0,1),(6,1),(9,1),(36,1),(82,1),(88,1),(142,1),(150,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(10,1),(37,1),(85,1),(91,1),(139,1),(146,1)}
         3:{3,4,6}:{(0,1),(9,1),(10,1),(11,1),(48,1),(107,1)}
         4:{3,4,6,7}:{(3,1),(14,1),(15,1),(16,1),(19,1),(62,1),(66,1),(67,1),(119,1),(123,1),(125,1)}
         5:{3,5,6,7}:{(16,1),(17,1),(18,1),(19,1),(66,1),(67,1)}
         6:{1,3,5,7}:{(1,1),(12,1),(20,1),(21,1),(24,1),(54,1),(165,1),(175,1),(203,1)}
         7:{2,3,5,7}:{(2,1),(13,1),(22,1),(23,1),(24,1),(57,1),(163,1),(171,1),(205,1)}
         8:{1,2,4,5,7}:{(1,1),(2,1),(20,1),(22,1),(24,1),(25,1),(63,1),(68,1),(72,1),(111,1),(114,1),(118,1),(122,1),(125,1),(128,1),(132,1),(136,1),(168,1),(173,1),(203,1),(205,1)}
         9:{1,4,6}:{(1,1),(3,1),(21,1),(26,1)}
        10:{2,4,6}:{(2,1),(3,1),(23,1),(27,1)}
        11:{3,5,6}:{(3,1),(16,1),(26,1),(27,1),(28,1)}
        12:{1,3,4,7}:{(6,1),(29,1),(30,1),(47,1),(88,1),(145,1),(187,1),(192,1)}
        13:{2,3,4,7}:{(7,1),(31,1),(32,1),(47,1),(91,1),(149,1),(185,1),(196,1)}
        14:{1,4,6,7}:{(4,1),(9,1),(33,1),(36,1),(88,1),(97,1),(150,1)}
        15:{2,4,6,7}:{(4,1),(10,1),(34,1),(37,1),(91,1),(96,1),(146,1)}
        16:{3,5,7}:{(4,1),(11,1),(36,1),(37,1),(38,1)}
        17:{1,5,6,7}:{(5,1),(36,1),(39,1),(97,1)}
        18:{2,5,6,7}:{(5,1),(37,1),(40,1),(96,1)}
        19:{4,6,7}:{(5,1),(38,1)}
        20:{1,2,5,7}:{(6,1),(29,1),(41,1),(42,1),(81,1),(189,1),(197,1)}
        21:{1,3,6}:{(6,1),(9,1),(42,1),(48,1),(208,1)}
        22:{1,2,5,7}:{(7,1),(31,1),(44,1),(45,1),(84,1),(186,1),(193,1)}
        23:{2,3,6}:{(7,1),(10,1),(45,1),(48,1),(209,1)}
        24:{3,5,7}:{(8,1),(47,1),(48,1),(106,1),(138,1),(141,1),(145,1),(149,1)}
        25:{1,2,4,6}:{(8,1),(9,1),(10,1),(42,1),(45,1),(48,1),(49,1),(98,1),(102,1),(107,1),(190,1),(194,1),(208,1),(209,1)}
        26:{1,5,6}:{(9,1),(11,1),(36,1)}
        27:{2,5,6}:{(10,1),(11,1),(37,1)}
        28:{4,5,6}:{(11,1),(38,1),(107,1)}
        29:{1,2,4,7}:{(12,1),(20,1),(52,1),(53,1),(68,1),(201,1)}
        30:{1,3,4,6}:{(12,1),(21,1),(53,1),(54,1),(71,1),(76,1),(130,1),(161,1),(179,1)}
        31:{1,2,4,7}:{(13,1),(22,1),(55,1),(56,1),(72,1),(200,1)}
        32:{2,3,4,6}:{(13,1),(23,1),(56,1),(57,1),(75,1),(76,1),(134,1),(164,1),(182,1)}
        33:{1,3,6,7}:{(14,1),(21,1),(58,1),(59,1),(62,1),(66,1),(175,1)}
        34:{2,3,6,7}:{(15,1),(23,1),(60,1),(61,1),(62,1),(67,1),(171,1)}
        35:{1,2,4,6,7}:{(14,1),(15,1),(25,1),(58,1),(60,1),(62,1),(63,1),(116,1),(118,1),(120,1),(122,1),(125,1)}
        36:{1,5,7}:{(14,1),(16,1),(26,1)}
        37:{2,5,7}:{(15,1),(16,1),(27,1)}
        38:{4,5,7}:{(16,1),(19,1),(28,1),(125,1)}
        39:{1,4,6,7}:{(17,1),(19,1),(64,1),(66,1)}
        40:{2,4,6,7}:{(18,1),(19,1),(65,1),(67,1)}
        41:{2,3,5,7}:{(20,1),(24,1),(52,1),(68,1),(69,1),(110,1),(128,1),(166,1),(176,1),(205,1)}
        42:{1,2,6}:{(20,1),(21,1),(69,1)}
        43:{1,3,5,6}:{(21,1),(26,1),(54,1),(59,1),(70,1),(71,1),(77,1),(78,1),(130,1)}
        44:{1,3,5,7}:{(22,1),(24,1),(55,1),(72,1),(73,1),(113,1),(132,1),(162,1),(170,1),(203,1)}
        45:{1,2,6}:{(22,1),(23,1),(73,1)}
        46:{2,3,5,6}:{(23,1),(27,1),(57,1),(61,1),(74,1),(75,1),(77,1),(79,1),(134,1)}
        47:{3,4,7}:{(24,1),(68,1),(72,1),(76,1),(125,1),(161,1),(164,1)}
        48:{3,6}:{(24,1),(25,1)}
        49:{1,2,5,6}:{(25,1),(26,1),(27,1),(63,1),(77,1),(128,1),(132,1),(167,1),(172,1)}
        50:{1,4,5,6}:{(26,1),(28,1),(64,1),(71,1),(78,1)}
        51:{2,4,5,6}:{(27,1),(28,1),(65,1),(75,1),(79,1)}
        52:{2,3,7}:{(29,1),(80,1),(145,1),(207,1)}
        53:{1,2,4,6}:{(29,1),(30,1),(42,1),(80,1),(81,1),(98,1),(137,1)}
        54:{1,3,5}:{(30,1),(81,1),(82,1),(106,1),(138,1),(198,1)}
        55:{1,3,7}:{(31,1),(83,1),(149,1),(206,1)}
        56:{1,2,4,6}:{(31,1),(32,1),(45,1),(83,1),(84,1),(102,1),(140,1)}
        57:{2,3,5}:{(32,1),(84,1),(85,1),(106,1),(141,1),(199,1)}
        58:{1,2,6,7}:{(33,1),(42,1),(86,1),(87,1),(96,1),(197,1),(208,1)}
        59:{1,3,5,7}:{(33,1),(36,1),(43,1),(87,1),(88,1),(93,1),(94,1),(145,1)}
        60:{1,2,6,7}:{(34,1),(45,1),(89,1),(90,1),(97,1),(193,1),(209,1)}
        61:{2,3,5,7}:{(34,1),(37,1),(46,1),(90,1),(91,1),(93,1),(95,1),(149,1)}
        62:{3,6,7}:{(35,1),(48,1),(93,1),(145,1),(149,1)}
        63:{1,2,5,7}:{(35,1),(36,1),(37,1),(49,1),(93,1),(143,1),(147,1)}
        64:{1,4,5,7}:{(36,1),(38,1),(39,1),(50,1),(88,1),(94,1)}
        65:{2,4,5,7}:{(37,1),(38,1),(40,1),(51,1),(91,1),(95,1)}
        66:{3,6,7}:{(39,1),(94,1),(96,1)}
        67:{3,6,7}:{(40,1),(95,1),(97,1)}
        68:{2,4,7}:{(41,1),(47,1),(98,1),(137,1),(188,1)}
        69:{2,3,6}:{(41,1),(42,1),(48,1),(98,1),(209,1)}
        70:{1,2,5,6}:{(42,1),(43,1),(81,1),(87,1),(99,1),(100,1),(108,1),(198,1),(208,1)}
        71:{1,4,6}:{(43,1),(82,1),(88,1),(101,1),(107,1)}
        72:{1,4,7}:{(44,1),(47,1),(102,1),(140,1),(184,1)}
        73:{1,3,6}:{(44,1),(45,1),(48,1),(102,1),(208,1)}
        74:{1,2,5,6}:{(45,1),(46,1),(84,1),(90,1),(103,1),(104,1),(109,1),(199,1),(209,1)}
        75:{2,4,6}:{(46,1),(85,1),(91,1),(105,1),(107,1)}
        76:{3,4,6}:{(47,1),(48,1),(98,1),(102,1),(106,1),(107,1)}
        77:{3,5,6}:{(48,1),(49,1),(93,1),(106,1),(107,1)}
        78:{3,5,6}:{(50,1),(94,1),(101,1),(108,1)}
        79:{3,5,6}:{(51,1),(95,1),(105,1),(109,1)}
        80:{2,3,6}:{(52,1),(53,1),(110,1),(130,1)}
        81:{1,2,5}:{(53,1),(54,1),(110,1),(128,1)}
        82:{1,4,5}:{(54,1),(71,1),(112,1),(136,1)}
        83:{1,3,6}:{(55,1),(56,1),(113,1),(134,1)}
        84:{1,2,5}:{(56,1),(57,1),(113,1),(132,1)}
        85:{2,4,5}:{(57,1),(75,1),(115,1),(136,1)}
        86:{2,3,6,7}:{(58,1),(62,1),(69,1),(116,1),(117,1),(176,1),(202,1)}
        87:{1,2,5,7}:{(58,1),(59,1),(70,1),(117,1),(118,1),(126,1),(203,1)}
        88:{1,4,7}:{(59,1),(71,1),(119,1),(125,1)}
        89:{1,3,6,7}:{(60,1),(62,1),(73,1),(120,1),(121,1),(170,1),(204,1)}
        90:{1,2,5,7}:{(60,1),(61,1),(74,1),(121,1),(122,1),(127,1),(205,1)}
        91:{2,4,7}:{(61,1),(75,1),(123,1),(125,1)}
        92:{3,4,6,7}:{(62,1),(76,1),(116,1),(120,1),(124,1),(125,1),(169,1),(174,1),(177,1),(202,1),(204,1)}
        93:{3,5,7}:{(62,1),(63,1),(77,1),(125,1)}
        94:{3,5,7}:{(64,1),(66,1),(78,1),(119,1),(126,1)}
        95:{3,5,7}:{(65,1),(67,1),(79,1),(123,1),(127,1)}
        96:{2,6,7}:{(66,1),(126,1)}
        97:{1,6,7}:{(67,1),(127,1)}
        98:{2,4,6}:{(68,1),(69,1),(76,1),(128,1)}
        99:{2,3,5,6}:{(69,1),(70,1),(77,1),(110,1),(117,1),(128,1),(129,1),(130,1),(167,1),(178,1),(202,1)}
       100:{1,2,4,6}:{(70,1),(71,1),(111,1),(118,1),(129,1),(130,1),(131,1),(179,1),(180,1)}
       101:{3,4,6}:{(71,1),(78,1),(112,1),(119,1),(130,1),(131,1)}
       102:{1,4,6}:{(72,1),(73,1),(76,1),(132,1)}
       103:{1,3,5,6}:{(73,1),(74,1),(77,1),(113,1),(121,1),(132,1),(133,1),(134,1),(172,1),(181,1),(204,1)}
       104:{1,2,4,6}:{(74,1),(75,1),(114,1),(122,1),(133,1),(134,1),(135,1),(182,1),(183,1)}
       105:{3,4,6}:{(75,1),(79,1),(115,1),(123,1),(134,1),(135,1)}
       106:{3,5}:{(76,1),(128,1),(132,1),(136,1)}
       107:{4,6}:{(77,1),(125,1),(136,1)}
       108:{2,5,6}:{(78,1),(126,1),(131,1)}
       109:{1,5,6}:{(79,1),(127,1),(135,1)}
       110:{2,3,5}:{(80,1),(81,1),(137,1),(138,1)}
       111:{1,2,4,5}:{(81,1),(82,1),(100,1),(137,1),(138,1),(139,1),(153,1),(184,1),(186,1),(198,1)}
       112:{3,4,5}:{(82,1),(101,1),(138,1),(139,1)}
       113:{1,3,5}:{(83,1),(84,1),(140,1),(141,1)}
       114:{1,2,4,5}:{(84,1),(85,1),(104,1),(140,1),(141,1),(142,1),(157,1),(188,1),(189,1),(199,1)}
       115:{3,4,5}:{(85,1),(105,1),(141,1),(142,1)}
       116:{2,4,6,7}:{(86,1),(92,1),(98,1),(143,1),(144,1),(190,1),(196,1),(209,1)}
       117:{2,3,5,7}:{(86,1),(87,1),(93,1),(99,1),(143,1),(144,1),(145,1),(191,1)}
       118:{1,2,4,7}:{(87,1),(88,1),(100,1),(144,1),(145,1),(146,1),(192,1),(193,1)}
       119:{3,4,7}:{(88,1),(94,1),(101,1),(145,1),(146,1)}
       120:{1,4,6,7}:{(89,1),(92,1),(102,1),(147,1),(148,1),(192,1),(194,1),(208,1)}
       121:{1,3,5,7}:{(89,1),(90,1),(93,1),(103,1),(147,1),(148,1),(149,1),(195,1)}
       122:{1,2,4,7}:{(90,1),(91,1),(104,1),(148,1),(149,1),(150,1),(196,1),(197,1)}
       123:{3,4,7}:{(91,1),(95,1),(105,1),(149,1),(150,1)}
       124:{3,5,7}:{(92,1),(106,1),(143,1),(147,1),(151,1),(152,1)}
       125:{4,7}:{(93,1),(107,1)}
       126:{2,5,7}:{(94,1),(96,1),(108,1),(146,1)}
       127:{1,5,7}:{(95,1),(97,1),(109,1),(150,1)}
       128:{2,5}:{(98,1),(106,1)}
       129:{2,4,6}:{(99,1),(107,1),(137,1),(144,1),(153,1),(154,1)}
       130:{3,6}:{(100,1),(138,1),(145,1)}
       131:{2,4,6}:{(101,1),(108,1),(139,1),(146,1),(156,1)}
       132:{1,5}:{(102,1),(106,1)}
       133:{1,4,6}:{(103,1),(107,1),(140,1),(148,1),(157,1),(158,1)}
       134:{3,6}:{(104,1),(141,1),(149,1)}
       135:{1,4,6}:{(105,1),(109,1),(142,1),(150,1),(159,1)}
       136:{4,5}:{(106,1),(107,1)}
       137:{2,4}:{(110,1),(161,1)}
       138:{3,5}:{(111,1),(130,1),(161,1)}
       139:{2,4,5}:{(112,1),(131,1),(163,1)}
       140:{1,4}:{(113,1),(164,1)}
       141:{3,5}:{(114,1),(134,1),(164,1)}
       142:{1,4,5}:{(115,1),(135,1),(165,1)}
       143:{2,5,7}:{(116,1),(124,1),(128,1),(167,1)}
       144:{2,4,7}:{(117,1),(125,1),(129,1),(169,1)}
       145:{3,7}:{(118,1),(130,1)}
       146:{2,4,7}:{(119,1),(126,1),(131,1),(171,1)}
       147:{1,5,7}:{(120,1),(124,1),(132,1),(172,1)}
       148:{1,4,7}:{(121,1),(125,1),(133,1),(174,1)}
       149:{3,7}:{(122,1),(134,1)}
       150:{1,4,7}:{(123,1),(127,1),(135,1),(175,1)}
       151:{3,5,6}:{(124,1),(167,1),(172,1),(177,1),(202,1),(204,1)}
       152:{4,5,7}:{(124,1),(125,1),(136,1),(177,1)}
       153:{2,4,5}:{(128,1),(129,1),(136,1),(178,1)}
       154:{3,4,6}:{(129,1),(130,1),(161,1),(169,1),(178,1),(179,1),(202,1)}
       155:{1,3,6}:{(130,1),(162,1),(170,1),(179,1),(180,1)}
       156:{2,3,6}:{(130,1),(131,1),(163,1),(171,1),(180,1)}
       157:{1,4,5}:{(132,1),(133,1),(136,1),(181,1)}
       158:{3,4,6}:{(133,1),(134,1),(164,1),(174,1),(181,1),(182,1),(204,1)}
       159:{1,3,6}:{(134,1),(135,1),(165,1),(175,1),(183,1)}
       160:{2,3,6}:{(134,1),(166,1),(176,1),(182,1),(183,1)}
       161:{3,4}:{(137,1),(138,1),(184,1)}
       162:{1,3,5}:{(138,1),(155,1),(184,1),(186,1),(198,1),(206,1)}
       163:{2,3,5}:{(138,1),(139,1),(156,1),(185,1),(186,1)}
       164:{3,4}:{(140,1),(141,1),(188,1)}
       165:{1,3,5}:{(141,1),(142,1),(159,1),(187,1),(189,1)}
       166:{2,3,5}:{(141,1),(160,1),(188,1),(189,1),(199,1),(207,1)}
       167:{2,5,6}:{(143,1),(151,1),(190,1),(209,1)}
       168:{2,4,5,7}:{(143,1),(144,1),(152,1),(153,1),(190,1),(191,1)}
       169:{3,4,7}:{(144,1),(145,1),(154,1),(191,1),(192,1)}
       170:{1,3,7}:{(145,1),(155,1),(192,1),(193,1)}
       171:{2,3,7}:{(145,1),(146,1),(156,1),(193,1)}
       172:{1,5,6}:{(147,1),(151,1),(194,1),(208,1)}
       173:{1,4,5,7}:{(147,1),(148,1),(152,1),(157,1),(194,1),(195,1)}
       174:{3,4,7}:{(148,1),(149,1),(158,1),(195,1),(196,1)}
       175:{1,3,7}:{(149,1),(150,1),(159,1),(197,1)}
       176:{2,3,7}:{(149,1),(160,1),(196,1),(197,1)}
       177:{4,6}:{(151,1),(152,1)}
       178:{3,5}:{(153,1),(154,1),(198,1)}
       179:{1,4,6}:{(154,1),(155,1),(184,1),(192,1),(198,1),(208,1)}
       180:{1,2,6}:{(155,1),(156,1),(186,1),(193,1)}
       181:{3,5}:{(157,1),(158,1),(199,1)}
       182:{2,4,6}:{(158,1),(160,1),(188,1),(196,1),(199,1),(209,1)}
       183:{1,2,6}:{(159,1),(160,1),(189,1),(197,1)}
       184:{1,4}:{(161,1),(162,1)}
       185:{2,3,4}:{(161,1),(163,1),(200,1)}
       186:{1,2,5}:{(162,1),(163,1),(180,1),(200,1)}
       187:{1,3,4}:{(164,1),(165,1),(201,1)}
       188:{2,4}:{(164,1),(166,1)}
       189:{1,2,5}:{(165,1),(166,1),(183,1),(201,1)}
       190:{2,4,6}:{(167,1),(168,1),(177,1),(202,1)}
       191:{3,5,7}:{(168,1),(169,1),(178,1),(202,1),(203,1)}
       192:{1,4,7}:{(169,1),(170,1),(179,1),(203,1)}
       193:{1,2,7}:{(170,1),(171,1),(180,1)}
       194:{1,4,6}:{(172,1),(173,1),(177,1),(204,1)}
       195:{3,5,7}:{(173,1),(174,1),(181,1),(204,1),(205,1)}
       196:{2,4,7}:{(174,1),(176,1),(182,1),(205,1)}
       197:{1,2,7}:{(175,1),(176,1),(183,1)}
       198:{1,5}:{(178,1),(179,1)}
       199:{2,5}:{(181,1),(182,1)}
       200:{1,2,4}:{(184,1),(185,1),(186,1),(206,1)}
       201:{1,2,4}:{(187,1),(188,1),(189,1),(207,1)}
       202:{3,6}:{(190,1),(191,1),(208,1)}
       203:{1,5,7}:{(191,1),(192,1),(198,1),(208,1)}
       204:{3,6}:{(194,1),(195,1),(209,1)}
       205:{2,5,7}:{(195,1),(196,1),(199,1),(209,1)}
       206:{1,3}:{(200,1)}
       207:{2,3}:{(201,1)}
       208:{1,6}:{(202,1),(203,1)}
       209:{2,6}:{(204,1),(205,1)}

 479 :   0:{1,2,4,6,7}:{(1,1),(2,1),(9,1),(10,1),(12,1),(16,1),(17,1),(42,1),(132,1)}
         1:{3,6,7}:{(0,1),(6,1),(31,1),(62,1),(136,1)}
         2:{1,2,5,7}:{(0,1),(6,1),(7,1),(20,1),(21,1),(135,1)}
         3:{3,4,6,7}:{(1,1),(9,1),(10,1),(11,1),(16,1),(34,1),(40,1),(44,1),(46,1),(48,1),(75,1),(78,1),(80,1),(110,1)}
         4:{1,3,6,7}:{(1,1),(9,1),(12,1),(13,1),(34,1),(51,1),(78,1),(84,1),(113,1)}
         5:{2,3,6,7}:{(1,1),(10,1),(12,1),(14,1),(34,1),(52,1),(80,1),(85,1),(114,1)}
         6:{3,5,7}:{(1,1),(2,1),(15,1),(16,1),(138,1)}
         7:{1,2,5,6}:{(2,1),(15,1),(17,1),(36,1),(38,1),(90,1),(91,1)}
         8:{1,2,4,5,7}:{(2,1),(16,1),(17,1),(18,1),(37,1),(39,1),(42,1),(47,1),(49,1),(50,1),(53,1),(79,1),(81,1),(82,1),(90,1),(91,1)}
         9:{1,4,6,7}:{(3,1),(4,1),(20,1),(26,1),(57,1),(68,1),(70,1),(100,1),(122,1)}
        10:{2,4,6,7}:{(3,1),(5,1),(21,1),(28,1),(59,1),(65,1),(71,1),(99,1),(123,1)}
        11:{3,5,7}:{(3,1),(20,1),(21,1),(22,1),(23,1),(69,1),(121,1)}
        12:{1,2,6,7}:{(4,1),(5,1),(24,1),(73,1),(99,1),(100,1),(104,1),(125,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(20,1),(24,1),(25,1),(26,1),(54,1),(58,1),(62,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(21,1),(24,1),(27,1),(28,1),(54,1),(60,1),(62,1)}
        15:{3,5,6}:{(6,1),(7,1),(29,1),(31,1),(69,1)}
        16:{4,7}:{(6,1),(29,1),(139,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(29,1),(31,1),(57,1),(59,1),(70,1),(71,1),(73,1),(99,1),(100,1)}
        18:{3,5,7}:{(8,1),(30,1),(31,1),(62,1),(69,1),(101,1)}
        19:{1,2,4,6,7}:{(9,1),(10,1),(12,1),(34,1),(35,1),(42,1),(75,1),(76,1),(92,1)}
        20:{1,5,7}:{(9,1),(11,1),(36,1),(90,1),(130,1)}
        21:{2,5,7}:{(10,1),(11,1),(38,1),(91,1),(131,1)}
        22:{3,5,6}:{(11,1),(36,1),(38,1),(40,1),(78,1),(80,1)}
        23:{4,5,7}:{(11,1),(16,1),(40,1),(47,1),(75,1),(109,1)}
        24:{1,2,5,7}:{(12,1),(13,1),(14,1),(41,1),(42,1),(79,1),(81,1)}
        25:{1,3,5,6}:{(13,1),(15,1),(36,1),(41,1),(43,1),(51,1),(74,1),(78,1),(83,1),(86,1),(90,1),(113,1),(117,1),(120,1),(130,1),(138,1)}
        26:{1,4,7}:{(13,1),(16,1),(43,1),(44,1),(75,1)}
        27:{2,3,5,6}:{(14,1),(15,1),(38,1),(41,1),(45,1),(52,1),(74,1),(80,1),(83,1),(88,1),(91,1),(114,1),(118,1),(120,1),(131,1),(138,1)}
        28:{2,4,7}:{(14,1),(16,1),(45,1),(46,1),(75,1)}
        29:{4,6}:{(15,1),(16,1),(47,1)}
        30:{3,4,7}:{(16,1),(18,1),(48,1),(49,1),(50,1),(93,1),(116,1)}
        31:{3,6}:{(17,1),(18,1)}
        32:{1,3,5,7}:{(18,1),(49,1),(51,1),(53,1),(81,1),(84,1),(90,1),(93,1),(117,1),(120,1)}
        33:{2,3,5,7}:{(18,1),(50,1),(52,1),(53,1),(79,1),(85,1),(91,1),(93,1),(118,1),(120,1)}
        34:{3,6,7}:{(19,1),(54,1),(62,1),(96,1),(108,1)}
        35:{1,2,5,7}:{(19,1),(20,1),(21,1),(54,1),(55,1),(107,1)}
        36:{1,5,6}:{(20,1),(22,1),(57,1),(100,1)}
        37:{1,4,5,7}:{(20,1),(23,1),(26,1),(57,1),(58,1),(63,1)}
        38:{2,5,6}:{(21,1),(22,1),(59,1),(99,1)}
        39:{2,4,5,7}:{(21,1),(23,1),(28,1),(59,1),(60,1),(66,1)}
        40:{4,6}:{(22,1),(23,1)}
        41:{1,2,5,6}:{(24,1),(25,1),(27,1),(61,1),(73,1),(99,1),(100,1),(105,1),(106,1),(107,1),(125,1),(128,1),(135,1)}
        42:{1,2,4,7}:{(24,1),(26,1),(28,1),(61,1),(62,1),(65,1),(68,1),(104,1)}
        43:{1,4,6}:{(25,1),(26,1),(29,1),(63,1),(64,1),(94,1),(126,1),(129,1),(139,1)}
        44:{3,4,7}:{(26,1),(58,1),(62,1),(64,1),(65,1)}
        45:{2,4,6}:{(27,1),(28,1),(29,1),(66,1),(67,1),(94,1),(127,1),(129,1),(139,1)}
        46:{3,4,7}:{(28,1),(60,1),(62,1),(67,1),(68,1)}
        47:{4,5}:{(29,1),(69,1),(129,1)}
        48:{3,4,6}:{(29,1),(30,1),(31,1),(69,1),(70,1),(71,1),(108,1),(129,1)}
        49:{1,4,7}:{(30,1),(32,1),(70,1),(126,1),(129,1)}
        50:{2,4,7}:{(30,1),(33,1),(71,1),(127,1),(129,1)}
        51:{1,3,6}:{(31,1),(32,1),(70,1),(73,1),(100,1),(108,1)}
        52:{2,3,6}:{(31,1),(33,1),(71,1),(73,1),(99,1),(108,1)}
        53:{1,2,5,7}:{(32,1),(33,1),(72,1),(73,1),(104,1),(107,1),(128,1)}
        54:{3,5,7}:{(34,1),(35,1),(74,1),(75,1),(120,1)}
        55:{1,2,5,6}:{(35,1),(36,1),(38,1),(74,1),(76,1),(130,1),(131,1)}
        56:{1,2,4,5,7}:{(35,1),(37,1),(39,1),(42,1),(75,1),(76,1),(77,1),(79,1),(81,1),(82,1),(109,1),(111,1),(112,1),(115,1),(130,1),(131,1)}
        57:{1,4,6}:{(36,1),(37,1),(40,1),(78,1)}
        58:{3,5,7}:{(37,1),(44,1),(78,1),(79,1),(86,1)}
        59:{2,4,6}:{(38,1),(39,1),(40,1),(80,1)}
        60:{3,5,7}:{(39,1),(46,1),(80,1),(81,1),(88,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(43,1),(45,1),(82,1),(83,1),(87,1),(89,1),(119,1),(134,1)}
        62:{3,7}:{(42,1),(83,1)}
        63:{1,4,5}:{(43,1),(47,1),(86,1),(90,1),(109,1),(130,1)}
        64:{3,4,6}:{(43,1),(44,1),(78,1),(83,1),(86,1),(87,1),(116,1)}
        65:{2,4,7}:{(44,1),(79,1),(85,1),(87,1)}
        66:{2,4,5}:{(45,1),(47,1),(88,1),(91,1),(109,1),(131,1)}
        67:{3,4,6}:{(45,1),(46,1),(80,1),(83,1),(88,1),(89,1),(116,1)}
        68:{1,4,7}:{(46,1),(81,1),(84,1),(89,1)}
        69:{3,5}:{(47,1),(48,1),(90,1),(91,1)}
        70:{1,4,6}:{(48,1),(49,1),(51,1),(90,1)}
        71:{2,4,6}:{(48,1),(50,1),(52,1),(91,1)}
        72:{1,2,4,7}:{(49,1),(50,1),(53,1),(92,1),(93,1),(134,1)}
        73:{1,2,6}:{(51,1),(52,1),(53,1)}
        74:{3,5,6}:{(54,1),(55,1),(94,1),(96,1),(121,1)}
        75:{4,7}:{(54,1),(94,1),(129,1)}
        76:{1,2,4,6}:{(55,1),(56,1),(57,1),(59,1),(94,1),(96,1),(99,1),(100,1),(122,1),(123,1),(125,1)}
        77:{3,5,7}:{(56,1),(62,1),(95,1),(96,1),(101,1),(121,1)}
        78:{3,6}:{(57,1),(58,1),(99,1)}
        79:{2,5,7}:{(58,1),(65,1),(99,1),(105,1)}
        80:{3,6}:{(59,1),(60,1),(100,1)}
        81:{1,5,7}:{(60,1),(68,1),(100,1),(106,1)}
        82:{1,2,4,5}:{(61,1),(63,1),(66,1),(101,1),(105,1),(106,1),(107,1),(126,1),(127,1),(128,1),(129,1),(135,1),(139,1)}
        83:{3,6}:{(61,1),(62,1),(101,1),(137,1)}
        84:{1,3,7}:{(62,1),(68,1),(102,1),(104,1)}
        85:{2,3,7}:{(62,1),(65,1),(103,1),(104,1)}
        86:{3,5}:{(63,1),(64,1),(105,1)}
        87:{2,4,6}:{(64,1),(65,1),(99,1),(103,1),(105,1),(127,1)}
        88:{3,5}:{(66,1),(67,1),(106,1)}
        89:{1,4,6}:{(67,1),(68,1),(100,1),(102,1),(106,1),(126,1)}
        90:{1,5}:{(69,1),(70,1)}
        91:{2,5}:{(69,1),(71,1)}
        92:{1,2,4,6}:{(70,1),(71,1),(72,1),(73,1),(107,1),(108,1),(129,1)}
        93:{3,7}:{(72,1),(108,1),(137,1)}
        94:{4,6}:{(74,1),(75,1),(109,1)}
        95:{3,4,7}:{(75,1),(77,1),(110,1),(111,1),(112,1),(116,1),(133,1)}
        96:{3,6}:{(76,1),(77,1)}
        97:{1,3,5,7}:{(77,1),(81,1),(84,1),(111,1),(113,1),(115,1),(117,1),(130,1),(133,1),(138,1)}
        98:{2,3,5,7}:{(77,1),(79,1),(85,1),(112,1),(114,1),(115,1),(118,1),(131,1),(133,1),(138,1)}
        99:{2,6}:{(78,1),(79,1)}
       100:{1,6}:{(80,1),(81,1)}
       101:{3,5}:{(82,1),(83,1),(116,1)}
       102:{1,3,6}:{(83,1),(84,1),(89,1),(117,1),(119,1)}
       103:{2,3,6}:{(83,1),(85,1),(87,1),(118,1),(119,1)}
       104:{1,2,7}:{(84,1),(85,1),(119,1)}
       105:{2,5}:{(86,1),(87,1)}
       106:{1,5}:{(88,1),(89,1)}
       107:{1,2,5}:{(90,1),(91,1),(92,1),(120,1)}
       108:{3,6}:{(92,1),(93,1),(120,1)}
       109:{4,5}:{(94,1),(121,1),(139,1)}
       110:{3,4,6}:{(94,1),(95,1),(96,1),(121,1),(122,1),(123,1),(136,1),(139,1)}
       111:{1,4,7}:{(95,1),(97,1),(122,1),(126,1),(139,1)}
       112:{2,4,7}:{(95,1),(98,1),(123,1),(127,1),(139,1)}
       113:{1,3,6}:{(96,1),(97,1),(100,1),(122,1),(125,1),(136,1)}
       114:{2,3,6}:{(96,1),(98,1),(99,1),(123,1),(125,1),(136,1)}
       115:{1,2,5,7}:{(97,1),(98,1),(104,1),(124,1),(125,1),(128,1),(135,1)}
       116:{3,4}:{(101,1),(126,1),(127,1),(129,1),(137,1),(139,1)}
       117:{1,3,5}:{(101,1),(102,1),(106,1),(126,1),(128,1),(137,1)}
       118:{2,3,5}:{(101,1),(103,1),(105,1),(127,1),(128,1),(137,1)}
       119:{1,2,6}:{(102,1),(103,1),(104,1),(128,1)}
       120:{3,5}:{(107,1),(108,1),(129,1)}
       121:{3,5}:{(109,1),(110,1),(130,1),(131,1)}
       122:{1,4,6}:{(110,1),(111,1),(113,1),(130,1)}
       123:{2,4,6}:{(110,1),(112,1),(114,1),(131,1)}
       124:{1,2,4,7}:{(111,1),(112,1),(115,1),(132,1),(133,1),(134,1)}
       125:{1,2,6}:{(113,1),(114,1),(115,1)}
       126:{1,4}:{(116,1),(117,1)}
       127:{2,4}:{(116,1),(118,1)}
       128:{1,2,5}:{(117,1),(118,1),(119,1),(134,1)}
       129:{4}:{(120,1)}
       130:{1,5}:{(121,1),(122,1)}
       131:{2,5}:{(121,1),(123,1)}
       132:{1,2,4,6}:{(122,1),(123,1),(124,1),(125,1),(135,1),(136,1),(139,1)}
       133:{3,7}:{(124,1),(136,1),(137,1)}
       134:{1,2,4}:{(126,1),(127,1),(128,1),(137,1)}
       135:{1,2,5}:{(130,1),(131,1),(132,1),(138,1)}
       136:{3,6}:{(132,1),(133,1),(138,1)}
       137:{3}:{(134,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{4}:{(138,1)}

 480 :   0:{1,4,5,7}:{(2,1),(3,1),(5,1),(13,1),(21,1),(36,1),(38,1)}
         1:{1,4,6,7}:{(3,1),(4,1),(5,1),(21,1)}
         2:{3,5,7}:{(0,1),(6,1),(8,1),(9,1),(26,1)}
         3:{1,4,6}:{(0,1),(9,1),(10,1),(30,1)}
         4:{3,6,7}:{(1,1),(9,1),(11,1),(12,1)}
         5:{1,5,7}:{(1,1),(10,1),(12,1),(53,1)}
         6:{3,4,7}:{(2,1),(13,1),(14,1),(15,1),(21,1),(34,1),(42,1)}
         7:{1,3,5,7}:{(2,1),(13,1),(16,1),(17,1),(34,1),(36,1),(60,1)}
         8:{2,5,7}:{(2,1),(14,1),(18,1),(37,1)}
         9:{3,6}:{(2,1),(3,1),(18,1)}
        10:{1,5,6}:{(3,1),(5,1),(19,1),(36,1),(64,1)}
        11:{2,6,7}:{(4,1),(18,1),(20,1)}
        12:{3,5,7}:{(4,1),(5,1),(19,1),(20,1),(21,1),(42,1)}
        13:{1,4,7}:{(6,1),(7,1),(24,1),(53,1),(72,1)}
        14:{2,4,7}:{(6,1),(8,1),(22,1),(25,1)}
        15:{3,4,6}:{(6,1),(9,1),(24,1),(25,1),(26,1),(30,1),(47,1),(52,1),(69,1),(72,1)}
        16:{1,2,5,7}:{(7,1),(8,1),(23,1),(27,1),(28,1),(48,1),(65,1)}
        17:{1,3,6}:{(7,1),(9,1),(24,1),(28,1),(47,1),(89,1)}
        18:{2,6}:{(8,1),(9,1)}
        19:{3,5,6}:{(9,1),(10,1),(12,1),(26,1),(29,1),(30,1),(52,1)}
        20:{2,5,7}:{(11,1),(12,1),(29,1),(31,1)}
        21:{4,7}:{(12,1),(30,1)}
        22:{2,3,7}:{(14,1),(32,1),(33,1),(34,1),(42,1)}
        23:{1,2,4,7}:{(13,1),(14,1),(16,1),(32,1),(34,1),(35,1),(39,1),(54,1)}
        24:{1,4,6}:{(13,1),(15,1),(17,1),(36,1),(64,1),(80,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(33,1),(37,1),(57,1)}
        26:{3,5}:{(15,1),(36,1),(37,1),(38,1)}
        27:{2,3,5,7}:{(16,1),(34,1),(39,1),(40,1),(58,1),(60,1),(63,1)}
        28:{1,2,6}:{(16,1),(17,1),(18,1),(40,1),(76,1),(97,1)}
        29:{2,5,6}:{(18,1),(19,1),(20,1),(37,1),(41,1)}
        30:{4,6}:{(19,1),(21,1),(38,1)}
        31:{2,4,7}:{(20,1),(21,1),(41,1),(42,1)}
        32:{1,2,7}:{(22,1),(43,1),(44,1),(53,1),(104,1)}
        33:{2,3,6}:{(22,1),(25,1),(44,1),(45,1),(47,1),(52,1)}
        34:{3,7}:{(23,1),(47,1)}
        35:{1,2,4,6}:{(23,1),(24,1),(25,1),(28,1),(44,1),(47,1),(48,1),(51,1),(66,1),(68,1),(72,1)}
        36:{1,5}:{(24,1),(26,1)}
        37:{2,5}:{(25,1),(26,1)}
        38:{4,5}:{(26,1),(30,1),(72,1)}
        39:{2,4,7}:{(27,1),(46,1),(51,1),(72,1),(104,1)}
        40:{2,3,6}:{(27,1),(28,1),(47,1),(51,1),(70,1),(90,1)}
        41:{2,4,6}:{(29,1),(30,1),(31,1),(49,1),(52,1)}
        42:{3,7}:{(31,1),(52,1),(53,1)}
        43:{1,3,7}:{(32,1),(34,1),(54,1),(55,1),(102,1)}
        44:{1,2,6}:{(32,1),(33,1),(55,1),(56,1),(64,1),(103,1)}
        45:{2,3,5}:{(33,1),(37,1),(56,1),(57,1),(60,1),(61,1),(79,1)}
        46:{3,4,7}:{(34,1),(39,1),(54,1),(58,1),(59,1),(98,1),(102,1)}
        47:{3,6}:{(34,1),(35,1),(60,1),(79,1)}
        48:{1,2,5}:{(35,1),(36,1),(37,1),(60,1),(63,1),(77,1)}
        49:{2,4,5}:{(37,1),(38,1),(41,1),(57,1),(61,1)}
        50:{2,4,5,7}:{(39,1),(58,1),(62,1),(63,1),(83,1),(84,1),(98,1)}
        51:{2,4,6}:{(39,1),(40,1),(59,1),(63,1),(96,1),(103,1)}
        52:{3,6}:{(41,1),(42,1),(61,1),(64,1)}
        53:{1,7}:{(42,1),(64,1)}
        54:{1,4,7}:{(43,1),(46,1),(65,1),(66,1)}
        55:{1,3,6}:{(43,1),(44,1),(47,1),(66,1),(67,1),(100,1)}
        56:{1,2,5}:{(44,1),(45,1),(67,1),(68,1),(73,1),(101,1)}
        57:{2,4}:{(45,1),(69,1),(72,1)}
        58:{3,5,7}:{(46,1),(50,1),(65,1),(70,1),(71,1)}
        59:{3,4,6}:{(46,1),(47,1),(51,1),(66,1),(70,1),(71,1),(72,1),(88,1),(92,1),(100,1)}
        60:{3,5}:{(47,1),(48,1),(72,1)}
        61:{3,5}:{(49,1),(52,1),(69,1),(73,1)}
        62:{2,4,6}:{(50,1),(70,1),(75,1),(92,1)}
        63:{2,5}:{(51,1),(71,1)}
        64:{1,6}:{(52,1),(53,1),(73,1)}
        65:{1,5,7}:{(54,1),(58,1),(76,1),(77,1)}
        66:{1,4,6}:{(54,1),(55,1),(59,1),(76,1),(77,1),(78,1)}
        67:{1,3,5}:{(55,1),(56,1),(60,1),(77,1),(78,1),(79,1),(95,1)}
        68:{1,2,4}:{(56,1),(57,1),(78,1),(79,1),(80,1),(96,1),(97,1)}
        69:{3,4}:{(57,1),(61,1),(79,1),(80,1)}
        70:{3,6}:{(58,1),(62,1),(76,1)}
        71:{3,5}:{(59,1),(63,1),(77,1),(83,1)}
        72:{4}:{(60,1)}
        73:{1,5}:{(61,1),(64,1),(80,1)}
        74:{2,4,6,7}:{(62,1),(81,1),(84,1),(98,1)}
        75:{2,5,6}:{(62,1),(63,1),(82,1),(84,1),(103,1)}
        76:{1,6}:{(65,1),(70,1)}
        77:{1,5}:{(66,1),(71,1)}
        78:{1,4}:{(67,1),(72,1),(88,1)}
        79:{3}:{(68,1)}
        80:{1,4}:{(69,1),(73,1),(89,1)}
        81:{3,6,7}:{(70,1),(74,1),(85,1),(91,1)}
        82:{3,5,6}:{(70,1),(71,1),(75,1),(86,1),(91,1),(92,1),(100,1)}
        83:{4,5}:{(71,1),(72,1),(92,1)}
        84:{2,5,7}:{(74,1),(75,1),(91,1),(104,1)}
        85:{1,6,7}:{(76,1),(81,1),(93,1)}
        86:{1,5,6}:{(76,1),(77,1),(82,1),(93,1),(94,1)}
        87:{1,4,5}:{(77,1),(78,1),(83,1),(94,1),(95,1)}
        88:{3,4}:{(78,1),(79,1),(95,1),(96,1)}
        89:{1,3}:{(79,1),(80,1),(97,1)}
        90:{2,3}:{(79,1),(96,1),(97,1)}
        91:{3,5,7}:{(81,1),(82,1),(84,1),(93,1),(98,1),(102,1)}
        92:{4,6}:{(82,1),(83,1),(98,1)}
        93:{1,5,7}:{(85,1),(86,1),(91,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(92,1),(99,1),(100,1)}
        95:{3,5}:{(87,1),(88,1),(100,1),(101,1)}
        96:{2,4}:{(88,1),(90,1),(101,1)}
        97:{1,2}:{(89,1),(90,1)}
        98:{4,7}:{(91,1),(92,1)}
        99:{1,4,7}:{(93,1),(94,1),(98,1),(102,1)}
       100:{3,6}:{(94,1),(95,1),(102,1),(103,1)}
       101:{2,5}:{(95,1),(96,1),(103,1)}
       102:{3,7}:{(99,1),(100,1),(104,1)}
       103:{2,6}:{(100,1),(101,1),(104,1)}
       104:{2,7}:{(102,1),(103,1)}

 481 :   0:{2,4,5,7}:{(2,1),(3,1),(5,1),(14,1),(21,1),(37,1),(38,1)}
         1:{2,4,6,7}:{(3,1),(4,1),(5,1),(21,1)}
         2:{3,5,7}:{(0,1),(6,1),(7,1),(9,1),(26,1)}
         3:{2,4,6}:{(0,1),(9,1),(10,1),(30,1)}
         4:{3,6,7}:{(1,1),(9,1),(11,1),(12,1)}
         5:{2,5,7}:{(1,1),(10,1),(12,1),(53,1)}
         6:{3,4,7}:{(2,1),(13,1),(14,1),(15,1),(21,1),(34,1),(42,1)}
         7:{1,5,7}:{(2,1),(13,1),(17,1),(36,1)}
         8:{2,3,5,7}:{(2,1),(14,1),(16,1),(18,1),(34,1),(37,1),(60,1)}
         9:{3,6}:{(2,1),(3,1),(17,1)}
        10:{2,5,6}:{(3,1),(5,1),(19,1),(37,1),(64,1)}
        11:{1,6,7}:{(4,1),(17,1),(20,1)}
        12:{3,5,7}:{(4,1),(5,1),(19,1),(20,1),(21,1),(42,1)}
        13:{1,4,7}:{(6,1),(7,1),(22,1),(24,1)}
        14:{2,4,7}:{(6,1),(8,1),(25,1),(53,1),(72,1)}
        15:{3,4,6}:{(6,1),(9,1),(24,1),(25,1),(26,1),(30,1),(47,1),(52,1),(69,1),(72,1)}
        16:{1,2,5,7}:{(7,1),(8,1),(23,1),(27,1),(28,1),(48,1),(65,1)}
        17:{1,6}:{(7,1),(9,1)}
        18:{2,3,6}:{(8,1),(9,1),(25,1),(28,1),(47,1),(90,1)}
        19:{3,5,6}:{(9,1),(10,1),(12,1),(26,1),(29,1),(30,1),(52,1)}
        20:{1,5,7}:{(11,1),(12,1),(29,1),(31,1)}
        21:{4,7}:{(12,1),(30,1)}
        22:{1,3,7}:{(13,1),(32,1),(33,1),(34,1),(42,1)}
        23:{1,2,4,7}:{(13,1),(14,1),(16,1),(32,1),(34,1),(35,1),(39,1),(54,1)}
        24:{1,4,6}:{(13,1),(15,1),(17,1),(33,1),(36,1),(57,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(37,1),(64,1),(80,1)}
        26:{3,5}:{(15,1),(36,1),(37,1),(38,1)}
        27:{1,3,5,7}:{(16,1),(34,1),(39,1),(40,1),(58,1),(60,1),(63,1)}
        28:{1,2,6}:{(16,1),(17,1),(18,1),(40,1),(76,1),(97,1)}
        29:{1,5,6}:{(17,1),(19,1),(20,1),(36,1),(41,1)}
        30:{4,6}:{(19,1),(21,1),(38,1)}
        31:{1,4,7}:{(20,1),(21,1),(41,1),(42,1)}
        32:{1,2,7}:{(22,1),(43,1),(44,1),(53,1),(104,1)}
        33:{1,3,6}:{(22,1),(24,1),(44,1),(45,1),(47,1),(52,1)}
        34:{3,7}:{(23,1),(47,1)}
        35:{1,2,4,6}:{(23,1),(24,1),(25,1),(28,1),(44,1),(47,1),(48,1),(51,1),(66,1),(68,1),(72,1)}
        36:{1,5}:{(24,1),(26,1)}
        37:{2,5}:{(25,1),(26,1)}
        38:{4,5}:{(26,1),(30,1),(72,1)}
        39:{1,4,7}:{(27,1),(46,1),(51,1),(72,1),(104,1)}
        40:{1,3,6}:{(27,1),(28,1),(47,1),(51,1),(70,1),(89,1)}
        41:{1,4,6}:{(29,1),(30,1),(31,1),(49,1),(52,1)}
        42:{3,7}:{(31,1),(52,1),(53,1)}
        43:{2,3,7}:{(32,1),(34,1),(54,1),(55,1),(102,1)}
        44:{1,2,6}:{(32,1),(33,1),(55,1),(56,1),(64,1),(103,1)}
        45:{1,3,5}:{(33,1),(36,1),(56,1),(57,1),(60,1),(61,1),(79,1)}
        46:{3,4,7}:{(34,1),(39,1),(54,1),(58,1),(59,1),(98,1),(102,1)}
        47:{3,6}:{(34,1),(35,1),(60,1),(79,1)}
        48:{1,2,5}:{(35,1),(36,1),(37,1),(60,1),(63,1),(77,1)}
        49:{1,4,5}:{(36,1),(38,1),(41,1),(57,1),(61,1)}
        50:{1,4,5,7}:{(39,1),(58,1),(62,1),(63,1),(83,1),(84,1),(98,1)}
        51:{1,4,6}:{(39,1),(40,1),(59,1),(63,1),(96,1),(103,1)}
        52:{3,6}:{(41,1),(42,1),(61,1),(64,1)}
        53:{2,7}:{(42,1),(64,1)}
        54:{2,4,7}:{(43,1),(46,1),(65,1),(66,1)}
        55:{2,3,6}:{(43,1),(44,1),(47,1),(66,1),(67,1),(100,1)}
        56:{1,2,5}:{(44,1),(45,1),(67,1),(68,1),(73,1),(101,1)}
        57:{1,4}:{(45,1),(69,1),(72,1)}
        58:{3,5,7}:{(46,1),(50,1),(65,1),(70,1),(71,1)}
        59:{3,4,6}:{(46,1),(47,1),(51,1),(66,1),(70,1),(71,1),(72,1),(88,1),(92,1),(100,1)}
        60:{3,5}:{(47,1),(48,1),(72,1)}
        61:{3,5}:{(49,1),(52,1),(69,1),(73,1)}
        62:{1,4,6}:{(50,1),(70,1),(75,1),(92,1)}
        63:{1,5}:{(51,1),(71,1)}
        64:{2,6}:{(52,1),(53,1),(73,1)}
        65:{2,5,7}:{(54,1),(58,1),(76,1),(77,1)}
        66:{2,4,6}:{(54,1),(55,1),(59,1),(76,1),(77,1),(78,1)}
        67:{2,3,5}:{(55,1),(56,1),(60,1),(77,1),(78,1),(79,1),(95,1)}
        68:{1,2,4}:{(56,1),(57,1),(78,1),(79,1),(80,1),(96,1),(97,1)}
        69:{3,4}:{(57,1),(61,1),(79,1),(80,1)}
        70:{3,6}:{(58,1),(62,1),(76,1)}
        71:{3,5}:{(59,1),(63,1),(77,1),(83,1)}
        72:{4}:{(60,1)}
        73:{2,5}:{(61,1),(64,1),(80,1)}
        74:{1,4,6,7}:{(62,1),(81,1),(84,1),(98,1)}
        75:{1,5,6}:{(62,1),(63,1),(82,1),(84,1),(103,1)}
        76:{2,6}:{(65,1),(70,1)}
        77:{2,5}:{(66,1),(71,1)}
        78:{2,4}:{(67,1),(72,1),(88,1)}
        79:{3}:{(68,1)}
        80:{2,4}:{(69,1),(73,1),(90,1)}
        81:{3,6,7}:{(70,1),(74,1),(85,1),(91,1)}
        82:{3,5,6}:{(70,1),(71,1),(75,1),(86,1),(91,1),(92,1),(100,1)}
        83:{4,5}:{(71,1),(72,1),(92,1)}
        84:{1,5,7}:{(74,1),(75,1),(91,1),(104,1)}
        85:{2,6,7}:{(76,1),(81,1),(93,1)}
        86:{2,5,6}:{(76,1),(77,1),(82,1),(93,1),(94,1)}
        87:{2,4,5}:{(77,1),(78,1),(83,1),(94,1),(95,1)}
        88:{3,4}:{(78,1),(79,1),(95,1),(96,1)}
        89:{1,3}:{(79,1),(96,1),(97,1)}
        90:{2,3}:{(79,1),(80,1),(97,1)}
        91:{3,5,7}:{(81,1),(82,1),(84,1),(93,1),(98,1),(102,1)}
        92:{4,6}:{(82,1),(83,1),(98,1)}
        93:{2,5,7}:{(85,1),(86,1),(91,1),(99,1)}
        94:{2,4,6}:{(86,1),(87,1),(92,1),(99,1),(100,1)}
        95:{3,5}:{(87,1),(88,1),(100,1),(101,1)}
        96:{1,4}:{(88,1),(89,1),(101,1)}
        97:{1,2}:{(89,1),(90,1)}
        98:{4,7}:{(91,1),(92,1)}
        99:{2,4,7}:{(93,1),(94,1),(98,1),(102,1)}
       100:{3,6}:{(94,1),(95,1),(102,1),(103,1)}
       101:{1,5}:{(95,1),(96,1),(103,1)}
       102:{3,7}:{(99,1),(100,1),(104,1)}
       103:{1,6}:{(100,1),(101,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 482 :   0:{3,4,6,7}:{(1,1),(2,1),(3,1),(17,1),(18,1),(43,1),(49,1),(52,1),(53,1),(55,1),(105,1)}
         1:{1,4,6,7}:{(0,1),(4,1),(8,1),(25,1),(31,1),(74,1),(78,1),(133,1)}
         2:{2,4,6,7}:{(0,1),(5,1),(9,1),(29,1),(32,1),(66,1),(77,1),(134,1)}
         3:{3,5,7}:{(0,1),(6,1),(8,1),(9,1),(10,1),(132,1)}
         4:{1,3,6,7}:{(1,1),(11,1),(12,1),(18,1),(52,1),(102,1),(106,1)}
         5:{2,3,6,7}:{(2,1),(13,1),(14,1),(18,1),(53,1),(93,1),(107,1)}
         6:{3,5,6}:{(3,1),(15,1),(16,1),(17,1),(52,1),(53,1)}
         7:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(13,1),(18,1),(19,1),(40,1),(42,1),(46,1),(48,1),(51,1),(55,1),(155,1)}
         8:{1,5,7}:{(1,1),(3,1),(15,1),(153,1)}
         9:{2,5,7}:{(2,1),(3,1),(16,1),(154,1)}
        10:{4,5,7}:{(3,1),(17,1),(55,1),(104,1)}
        11:{1,2,6,7}:{(4,1),(23,1),(24,1),(77,1),(131,1),(135,1),(161,1)}
        12:{1,3,5,7}:{(4,1),(8,1),(22,1),(24,1),(25,1),(34,1),(36,1),(65,1)}
        13:{1,2,6,7}:{(5,1),(27,1),(28,1),(78,1),(121,1),(135,1),(166,1)}
        14:{2,3,5,7}:{(5,1),(9,1),(26,1),(28,1),(29,1),(34,1),(37,1),(73,1)}
        15:{1,5,6}:{(6,1),(8,1),(31,1),(78,1)}
        16:{2,5,6}:{(6,1),(9,1),(32,1),(77,1)}
        17:{4,6}:{(6,1),(10,1)}
        18:{3,6,7}:{(7,1),(34,1),(65,1),(73,1),(76,1),(168,1)}
        19:{1,2,5,7}:{(7,1),(8,1),(9,1),(30,1),(34,1),(63,1),(71,1),(167,1)}
        20:{1,4,5,7}:{(8,1),(10,1),(25,1),(31,1),(36,1),(59,1)}
        21:{2,4,5,7}:{(9,1),(10,1),(29,1),(32,1),(37,1),(67,1)}
        22:{1,3,5,6}:{(12,1),(15,1),(38,1),(39,1),(50,1),(52,1),(85,1),(87,1),(106,1),(138,1),(153,1),(171,1)}
        23:{2,3,6,7}:{(11,1),(18,1),(40,1),(41,1),(103,1),(107,1),(143,1)}
        24:{1,2,5,7}:{(11,1),(12,1),(38,1),(41,1),(42,1),(57,1),(144,1)}
        25:{1,4,7}:{(12,1),(39,1),(43,1),(55,1)}
        26:{2,3,5,6}:{(14,1),(16,1),(44,1),(45,1),(50,1),(53,1),(95,1),(97,1),(107,1),(147,1),(154,1),(171,1)}
        27:{1,3,6,7}:{(13,1),(18,1),(46,1),(47,1),(92,1),(106,1),(151,1)}
        28:{1,2,5,7}:{(13,1),(14,1),(44,1),(47,1),(48,1),(58,1),(152,1)}
        29:{2,4,7}:{(14,1),(45,1),(49,1),(55,1)}
        30:{1,2,5,6}:{(15,1),(16,1),(19,1),(50,1),(51,1),(89,1),(99,1),(153,1),(154,1)}
        31:{1,4,6}:{(15,1),(17,1),(20,1),(52,1)}
        32:{2,4,6}:{(16,1),(17,1),(21,1),(53,1)}
        33:{3,4,6,7}:{(18,1),(40,1),(46,1),(54,1),(55,1),(91,1),(101,1),(105,1),(108,1),(143,1),(151,1)}
        34:{3,5,7}:{(18,1),(19,1),(50,1),(55,1),(171,1)}
        35:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(42,1),(48,1),(51,1),(55,1),(56,1),(57,1),(58,1),(84,1),(90,1),(94,1),(100,1),(104,1),(109,1),(110,1),(111,1),(144,1),(152,1),(153,1),(154,1)}
        36:{3,5,7}:{(20,1),(43,1),(52,1),(57,1),(85,1)}
        37:{3,5,7}:{(21,1),(49,1),(53,1),(58,1),(95,1)}
        38:{1,2,5,6}:{(22,1),(24,1),(60,1),(61,1),(77,1),(113,1),(135,1),(159,1),(160,1),(161,1),(167,1)}
        39:{1,4,6}:{(22,1),(25,1),(59,1),(62,1),(75,1),(157,1),(174,1)}
        40:{2,4,6,7}:{(23,1),(33,1),(63,1),(64,1),(118,1),(130,1),(134,1),(166,1)}
        41:{2,3,5,7}:{(23,1),(24,1),(34,1),(60,1),(63,1),(64,1),(65,1),(119,1)}
        42:{1,2,4,7}:{(24,1),(25,1),(61,1),(64,1),(65,1),(66,1),(120,1),(121,1)}
        43:{3,4,7}:{(25,1),(36,1),(62,1),(65,1),(66,1)}
        44:{1,2,5,6}:{(26,1),(28,1),(68,1),(69,1),(78,1),(123,1),(135,1),(164,1),(165,1),(166,1),(167,1)}
        45:{2,4,6}:{(26,1),(29,1),(67,1),(70,1),(75,1),(163,1),(174,1)}
        46:{1,4,6,7}:{(27,1),(33,1),(71,1),(72,1),(120,1),(128,1),(133,1),(161,1)}
        47:{1,3,5,7}:{(27,1),(28,1),(34,1),(68,1),(71,1),(72,1),(73,1),(129,1)}
        48:{1,2,4,7}:{(28,1),(29,1),(69,1),(72,1),(73,1),(74,1),(130,1),(131,1)}
        49:{3,4,7}:{(29,1),(37,1),(70,1),(73,1),(74,1)}
        50:{3,5,6}:{(30,1),(34,1),(75,1),(76,1),(132,1)}
        51:{1,2,4,6}:{(30,1),(31,1),(32,1),(35,1),(75,1),(76,1),(77,1),(78,1),(118,1),(128,1),(133,1),(134,1),(135,1),(161,1),(166,1)}
        52:{3,6}:{(31,1),(36,1),(77,1)}
        53:{3,6}:{(32,1),(37,1),(78,1)}
        54:{3,5,7}:{(33,1),(63,1),(71,1),(79,1),(80,1),(132,1)}
        55:{4,7}:{(34,1),(75,1),(174,1)}
        56:{3,5,7}:{(35,1),(65,1),(73,1),(76,1),(81,1),(112,1),(122,1),(132,1)}
        57:{2,5,7}:{(36,1),(66,1),(77,1),(113,1)}
        58:{1,5,7}:{(37,1),(74,1),(78,1),(123,1)}
        59:{1,4,5}:{(39,1),(85,1),(104,1),(153,1)}
        60:{2,3,5,6}:{(38,1),(41,1),(50,1),(86,1),(87,1),(89,1),(107,1),(139,1),(140,1),(143,1),(154,1),(171,1)}
        61:{1,2,4,6}:{(38,1),(39,1),(42,1),(84,1),(86,1),(87,1),(88,1),(141,1),(142,1),(169,1)}
        62:{3,4,6}:{(39,1),(43,1),(52,1),(85,1),(87,1),(88,1),(137,1)}
        63:{2,5,7}:{(40,1),(54,1),(89,1),(154,1)}
        64:{2,4,7}:{(41,1),(55,1),(86,1),(91,1)}
        65:{3,7}:{(42,1),(87,1)}
        66:{2,4,7}:{(43,1),(57,1),(88,1),(93,1)}
        67:{2,4,5}:{(45,1),(95,1),(104,1),(154,1)}
        68:{1,3,5,6}:{(44,1),(47,1),(50,1),(96,1),(97,1),(99,1),(106,1),(146,1),(148,1),(151,1),(153,1),(171,1)}
        69:{1,2,4,6}:{(44,1),(45,1),(48,1),(94,1),(96,1),(97,1),(98,1),(149,1),(150,1),(170,1)}
        70:{3,4,6}:{(45,1),(49,1),(53,1),(95,1),(97,1),(98,1),(145,1)}
        71:{1,5,7}:{(46,1),(54,1),(99,1),(153,1)}
        72:{1,4,7}:{(47,1),(55,1),(96,1),(101,1)}
        73:{3,7}:{(48,1),(97,1)}
        74:{1,4,7}:{(49,1),(58,1),(98,1),(102,1)}
        75:{4,6}:{(50,1),(55,1),(104,1)}
        76:{3,6}:{(51,1),(56,1)}
        77:{2,6}:{(52,1),(57,1)}
        78:{1,6}:{(53,1),(58,1)}
        79:{3,5,6}:{(54,1),(89,1),(99,1),(108,1),(143,1),(151,1)}
        80:{4,5,7}:{(54,1),(55,1),(104,1),(108,1)}
        81:{3,4,7}:{(55,1),(56,1),(105,1),(109,1),(110,1),(137,1),(145,1),(156,1)}
        82:{1,3,5,7}:{(56,1),(58,1),(92,1),(102,1),(106,1),(109,1),(111,1),(138,1),(144,1),(146,1),(153,1),(156,1),(171,1)}
        83:{2,3,5,7}:{(56,1),(57,1),(93,1),(103,1),(107,1),(110,1),(111,1),(139,1),(147,1),(152,1),(154,1),(156,1),(171,1)}
        84:{1,2,4,5}:{(59,1),(61,1),(112,1),(113,1),(114,1),(157,1),(158,1),(159,1),(160,1),(167,1),(174,1)}
        85:{3,5}:{(59,1),(62,1),(113,1)}
        86:{2,4,6}:{(60,1),(64,1),(75,1),(114,1),(115,1),(158,1),(174,1)}
        87:{3,6}:{(61,1),(65,1),(112,1),(172,1)}
        88:{2,4,6}:{(62,1),(66,1),(77,1),(113,1),(117,1),(158,1)}
        89:{2,5,6}:{(63,1),(79,1),(118,1),(166,1)}
        90:{2,4,5,7}:{(63,1),(64,1),(80,1),(114,1),(118,1),(119,1)}
        91:{3,4,7}:{(64,1),(65,1),(115,1),(119,1),(120,1)}
        92:{1,3,7}:{(65,1),(116,1),(120,1),(121,1)}
        93:{2,3,7}:{(65,1),(66,1),(117,1),(121,1)}
        94:{1,2,4,5}:{(67,1),(69,1),(122,1),(123,1),(124,1),(162,1),(163,1),(164,1),(165,1),(167,1),(174,1)}
        95:{3,5}:{(67,1),(70,1),(123,1)}
        96:{1,4,6}:{(68,1),(72,1),(75,1),(124,1),(125,1),(162,1),(174,1)}
        97:{3,6}:{(69,1),(73,1),(122,1),(173,1)}
        98:{1,4,6}:{(70,1),(74,1),(78,1),(123,1),(126,1),(162,1)}
        99:{1,5,6}:{(71,1),(79,1),(128,1),(161,1)}
       100:{1,4,5,7}:{(71,1),(72,1),(80,1),(124,1),(128,1),(129,1)}
       101:{3,4,7}:{(72,1),(73,1),(125,1),(129,1),(130,1)}
       102:{1,3,7}:{(73,1),(74,1),(126,1),(131,1)}
       103:{2,3,7}:{(73,1),(127,1),(130,1),(131,1)}
       104:{4,5}:{(75,1),(132,1),(174,1)}
       105:{3,4,6}:{(75,1),(76,1),(81,1),(132,1),(133,1),(134,1),(168,1),(174,1)}
       106:{1,3,6}:{(76,1),(78,1),(82,1),(133,1),(135,1),(161,1),(168,1)}
       107:{2,3,6}:{(76,1),(77,1),(83,1),(134,1),(135,1),(166,1),(168,1)}
       108:{4,6}:{(79,1),(80,1)}
       109:{1,4,7}:{(81,1),(82,1),(133,1),(157,1),(162,1),(174,1)}
       110:{2,4,7}:{(81,1),(83,1),(134,1),(158,1),(163,1),(174,1)}
       111:{1,2,5,7}:{(82,1),(83,1),(121,1),(131,1),(135,1),(136,1),(159,1),(164,1),(167,1)}
       112:{3,5}:{(84,1),(87,1),(137,1)}
       113:{2,5}:{(85,1),(88,1)}
       114:{2,4,5}:{(86,1),(104,1),(140,1),(154,1)}
       115:{3,4,6}:{(86,1),(87,1),(91,1),(137,1),(140,1),(141,1),(143,1)}
       116:{1,3,6}:{(87,1),(92,1),(138,1),(141,1),(142,1)}
       117:{2,3,6}:{(87,1),(88,1),(93,1),(139,1),(142,1)}
       118:{2,4,6}:{(89,1),(90,1),(108,1),(143,1)}
       119:{3,5,7}:{(90,1),(91,1),(140,1),(143,1),(144,1)}
       120:{1,4,7}:{(91,1),(92,1),(141,1),(144,1)}
       121:{1,2,7}:{(92,1),(93,1),(142,1)}
       122:{3,5}:{(94,1),(97,1),(145,1)}
       123:{1,5}:{(95,1),(98,1)}
       124:{1,4,5}:{(96,1),(104,1),(148,1),(153,1)}
       125:{3,4,6}:{(96,1),(97,1),(101,1),(145,1),(148,1),(149,1),(151,1)}
       126:{1,3,6}:{(97,1),(98,1),(102,1),(146,1),(150,1)}
       127:{2,3,6}:{(97,1),(103,1),(147,1),(149,1),(150,1)}
       128:{1,4,6}:{(99,1),(100,1),(108,1),(151,1)}
       129:{3,5,7}:{(100,1),(101,1),(148,1),(151,1),(152,1)}
       130:{2,4,7}:{(101,1),(103,1),(149,1),(152,1)}
       131:{1,2,7}:{(102,1),(103,1),(150,1)}
       132:{3,5}:{(104,1),(105,1),(153,1),(154,1)}
       133:{1,4,6}:{(105,1),(106,1),(109,1),(153,1)}
       134:{2,4,6}:{(105,1),(107,1),(110,1),(154,1)}
       135:{1,2,6}:{(106,1),(107,1),(111,1)}
       136:{1,2,4,7}:{(109,1),(110,1),(111,1),(155,1),(156,1),(169,1),(170,1)}
       137:{3,4}:{(112,1),(157,1),(158,1),(172,1),(174,1)}
       138:{1,3,5}:{(112,1),(116,1),(157,1),(159,1),(160,1),(172,1)}
       139:{2,3,5}:{(112,1),(113,1),(117,1),(158,1),(159,1),(172,1)}
       140:{3,5}:{(114,1),(115,1),(160,1)}
       141:{1,4,6}:{(115,1),(116,1),(120,1),(157,1),(160,1),(161,1)}
       142:{1,2,6}:{(116,1),(117,1),(121,1),(159,1)}
       143:{3,6}:{(118,1),(119,1),(161,1)}
       144:{1,5,7}:{(119,1),(120,1),(160,1),(161,1)}
       145:{3,4}:{(122,1),(162,1),(163,1),(173,1),(174,1)}
       146:{1,3,5}:{(122,1),(123,1),(126,1),(162,1),(164,1),(173,1)}
       147:{2,3,5}:{(122,1),(127,1),(163,1),(164,1),(165,1),(173,1)}
       148:{3,5}:{(124,1),(125,1),(165,1)}
       149:{2,4,6}:{(125,1),(127,1),(130,1),(163,1),(165,1),(166,1)}
       150:{1,2,6}:{(126,1),(127,1),(131,1),(164,1)}
       151:{3,6}:{(128,1),(129,1),(166,1)}
       152:{2,5,7}:{(129,1),(130,1),(165,1),(166,1)}
       153:{1,5}:{(132,1),(133,1)}
       154:{2,5}:{(132,1),(134,1)}
       155:{1,2,4,6}:{(133,1),(134,1),(135,1),(136,1),(167,1),(168,1),(174,1)}
       156:{3,7}:{(136,1),(168,1),(172,1),(173,1)}
       157:{1,4}:{(137,1),(138,1)}
       158:{2,4}:{(137,1),(139,1)}
       159:{1,2,5}:{(138,1),(139,1),(142,1),(169,1)}
       160:{1,5}:{(140,1),(141,1)}
       161:{1,6}:{(143,1),(144,1)}
       162:{1,4}:{(145,1),(146,1)}
       163:{2,4}:{(145,1),(147,1)}
       164:{1,2,5}:{(146,1),(147,1),(150,1),(170,1)}
       165:{2,5}:{(148,1),(149,1)}
       166:{2,6}:{(151,1),(152,1)}
       167:{1,2,5}:{(153,1),(154,1),(155,1),(171,1)}
       168:{3,6}:{(155,1),(156,1),(171,1)}
       169:{1,2,4}:{(157,1),(158,1),(159,1),(172,1)}
       170:{1,2,4}:{(162,1),(163,1),(164,1),(173,1)}
       171:{3,5}:{(167,1),(168,1),(174,1)}
       172:{3}:{(169,1)}
       173:{3}:{(170,1)}
       174:{4}:{(171,1)}

 483 :  0:{1,2,6,7}:{(2,1),(4,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(3,1),(4,1),(5,1),(37,1),(38,1),(51,1),(52,1)}
        2:{3,6,7}:{(0,1),(7,1),(8,1),(44,1)}
        3:{3,5,6}:{(1,1),(8,1),(9,1),(11,1),(23,1),(25,1),(44,1)}
        4:{1,2,5,7}:{(0,1),(1,1),(8,1),(10,1),(45,1),(46,1)}
        5:{1,2,4,6}:{(1,1),(6,1),(9,1),(10,1),(11,1),(27,1),(28,1),(31,1)}
        6:{1,2,4,5}:{(5,1),(12,1),(14,1),(32,1),(33,1),(34,1),(37,1),(38,1)}
        7:{4,6,7}:{(2,1),(13,1),(15,1),(35,1)}
        8:{3,5,7}:{(2,1),(3,1),(4,1),(13,1),(15,1),(17,1)}
        9:{4,6}:{(3,1),(14,1),(15,1)}
       10:{1,2,4,7}:{(4,1),(5,1),(15,1),(17,1),(39,1),(40,1),(42,1)}
       11:{3,6}:{(5,1),(12,1),(17,1)}
       12:{3,5}:{(6,1),(11,1),(20,1)}
       13:{5,7}:{(7,1),(23,1)}
       14:{4,5}:{(9,1),(25,1),(58,1)}
       15:{4,7}:{(8,1),(9,1)}
       16:{3,4,6}:{(9,1),(11,1),(20,1),(25,1),(26,1),(27,1),(28,1),(44,1),(49,1),(58,1),(61,1)}
       17:{3,7}:{(10,1),(11,1)}
       18:{1,3,6}:{(11,1),(21,1),(27,1),(29,1),(31,1),(49,1)}
       19:{2,3,6}:{(11,1),(22,1),(28,1),(30,1),(31,1),(49,1)}
       20:{3,4}:{(12,1),(32,1),(33,1),(50,1)}
       21:{1,3,5}:{(12,1),(18,1),(32,1),(34,1),(37,1),(50,1),(54,1)}
       22:{2,3,5}:{(12,1),(19,1),(33,1),(34,1),(38,1),(50,1),(54,1)}
       23:{5,6}:{(13,1),(35,1),(62,1)}
       24:{4,5,7}:{(13,1),(14,1),(15,1),(35,1),(36,1),(60,1),(62,1)}
       25:{3,5}:{(14,1),(16,1),(37,1),(38,1),(62,1)}
       26:{3,4,7}:{(15,1),(16,1),(17,1),(36,1),(39,1),(40,1),(55,1),(60,1)}
       27:{1,4,6}:{(16,1),(18,1),(32,1),(37,1),(39,1),(51,1)}
       28:{2,4,6}:{(16,1),(19,1),(33,1),(38,1),(40,1),(52,1)}
       29:{1,3,7}:{(17,1),(18,1),(39,1),(42,1),(55,1)}
       30:{2,3,7}:{(17,1),(19,1),(40,1),(42,1),(55,1)}
       31:{1,2,6}:{(18,1),(19,1),(34,1),(42,1)}
       32:{1,4}:{(20,1),(21,1),(58,1)}
       33:{2,4}:{(20,1),(22,1),(58,1)}
       34:{1,2,5}:{(21,1),(22,1),(31,1),(43,1)}
       35:{4,6}:{(23,1),(24,1),(44,1)}
       36:{3,5,7}:{(24,1),(25,1),(26,1),(44,1),(45,1),(46,1)}
       37:{1,5}:{(25,1),(27,1)}
       38:{2,5}:{(25,1),(28,1)}
       39:{1,4,7}:{(26,1),(27,1),(29,1),(45,1)}
       40:{2,4,7}:{(26,1),(28,1),(30,1),(46,1)}
       41:{1,2,4,6}:{(27,1),(28,1),(31,1),(43,1),(47,1),(48,1),(49,1),(56,1),(58,1),(61,1)}
       42:{1,2,7}:{(29,1),(30,1),(31,1)}
       43:{1,2,4}:{(32,1),(33,1),(34,1),(50,1)}
       44:{3,6}:{(35,1),(36,1),(51,1),(52,1)}
       45:{1,5,7}:{(36,1),(37,1),(39,1),(51,1)}
       46:{2,5,7}:{(36,1),(38,1),(40,1),(52,1)}
       47:{1,2,5}:{(37,1),(38,1),(41,1),(54,1),(62,1)}
       48:{1,2,4,7}:{(39,1),(40,1),(41,1),(42,1),(53,1),(55,1),(60,1)}
       49:{3,6}:{(41,1),(50,1),(54,1),(55,1)}
       50:{3}:{(43,1)}
       51:{1,6}:{(44,1),(45,1)}
       52:{2,6}:{(44,1),(46,1)}
       53:{1,2,5,7}:{(45,1),(46,1),(47,1),(48,1),(56,1),(57,1)}
       54:{3,5}:{(47,1),(49,1),(58,1)}
       55:{3,7}:{(48,1),(49,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(54,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 484 :   0:{3,5,6,7}:{(1,1),(2,1),(3,1),(14,1),(16,1),(17,1)}
         1:{1,5,6,7}:{(0,1),(5,1),(32,1),(34,1)}
         2:{2,5,6,7}:{(0,1),(6,1),(30,1),(35,1)}
         3:{4,6,7}:{(0,1),(7,1)}
         4:{3,4,5,7}:{(10,1),(11,1),(12,1),(17,1),(48,1),(49,1),(53,1),(86,1),(90,1),(114,1),(158,1)}
         5:{1,4,6,7}:{(1,1),(3,1),(13,1),(14,1)}
         6:{2,4,6,7}:{(2,1),(3,1),(15,1),(16,1)}
         7:{4,5,7}:{(3,1),(9,1),(17,1),(114,1)}
         8:{3,4,6,7}:{(3,1),(10,1),(14,1),(16,1),(17,1),(18,1),(19,1),(49,1),(53,1),(58,1),(114,1)}
         9:{4,5,6}:{(7,1),(24,1),(132,1)}
        10:{3,4,6}:{(4,1),(24,1),(25,1),(26,1),(74,1),(132,1)}
        11:{1,4,5,7}:{(4,1),(21,1),(25,1),(34,1),(76,1),(80,1),(116,1),(120,1)}
        12:{2,4,5,7}:{(4,1),(23,1),(26,1),(35,1),(77,1),(81,1),(117,1),(121,1)}
        13:{1,4,5,7}:{(5,1),(7,1),(20,1),(28,1),(34,1),(76,1)}
        14:{3,6,7}:{(5,1),(28,1),(30,1)}
        15:{2,4,5,7}:{(6,1),(7,1),(22,1),(31,1),(35,1),(81,1)}
        16:{3,6,7}:{(6,1),(31,1),(32,1)}
        17:{3,5,7}:{(7,1),(8,1),(24,1),(34,1),(35,1)}
        18:{1,4,6,7}:{(8,1),(25,1),(29,1),(32,1),(34,1),(76,1),(80,1)}
        19:{2,4,6,7}:{(8,1),(26,1),(30,1),(33,1),(35,1),(77,1),(81,1)}
        20:{1,4,5,6}:{(9,1),(13,1),(39,1),(45,1),(94,1)}
        21:{1,3,5,7}:{(11,1),(37,1),(40,1),(41,1),(48,1),(87,1),(110,1),(147,1),(198,1)}
        22:{2,4,5,6}:{(9,1),(15,1),(42,1),(46,1),(100,1)}
        23:{2,3,5,7}:{(12,1),(38,1),(43,1),(44,1),(48,1),(91,1),(106,1),(144,1),(200,1)}
        24:{3,5,6}:{(9,1),(10,1),(17,1),(45,1),(46,1)}
        25:{1,4,6}:{(10,1),(11,1),(40,1),(45,1)}
        26:{2,4,6}:{(10,1),(12,1),(43,1),(46,1)}
        27:{1,2,4,5,7}:{(11,1),(12,1),(41,1),(44,1),(47,1),(48,1),(57,1),(98,1),(103,1),(107,1),(111,1),(114,1),(145,1),(148,1),(153,1),(157,1),(158,1),(161,1),(165,1),(198,1),(200,1)}
        28:{3,5,7}:{(13,1),(14,1),(39,1),(49,1),(51,1)}
        29:{1,3,6,7}:{(14,1),(18,1),(40,1),(50,1),(52,1),(58,1),(110,1)}
        30:{2,6,7}:{(14,1),(51,1)}
        31:{3,5,7}:{(15,1),(16,1),(42,1),(53,1),(54,1)}
        32:{1,6,7}:{(16,1),(54,1)}
        33:{2,3,6,7}:{(16,1),(19,1),(43,1),(55,1),(56,1),(58,1),(106,1)}
        34:{1,5,7}:{(17,1),(18,1),(45,1)}
        35:{2,5,7}:{(17,1),(19,1),(46,1)}
        36:{1,2,4,6,7}:{(18,1),(19,1),(47,1),(52,1),(56,1),(57,1),(58,1),(107,1),(109,1),(111,1),(113,1),(114,1)}
        37:{1,3,4,7}:{(21,1),(59,1),(60,1),(75,1),(76,1),(135,1),(172,1),(182,1)}
        38:{2,3,4,7}:{(23,1),(61,1),(62,1),(75,1),(81,1),(139,1),(168,1),(185,1)}
        39:{3,5,6}:{(20,1),(28,1),(63,1),(65,1)}
        40:{1,3,6}:{(21,1),(25,1),(66,1),(74,1),(208,1)}
        41:{1,2,5,7}:{(21,1),(60,1),(66,1),(67,1),(118,1),(138,1),(173,1)}
        42:{3,5,6}:{(22,1),(31,1),(68,1),(69,1)}
        43:{2,3,6}:{(23,1),(26,1),(71,1),(74,1),(209,1)}
        44:{1,2,5,7}:{(23,1),(62,1),(71,1),(72,1),(122,1),(134,1),(169,1)}
        45:{1,5,6}:{(24,1),(25,1),(34,1)}
        46:{2,5,6}:{(24,1),(26,1),(35,1)}
        47:{1,2,4,6}:{(25,1),(26,1),(27,1),(66,1),(71,1),(73,1),(74,1),(127,1),(131,1),(132,1),(184,1),(187,1),(208,1),(209,1)}
        48:{3,5,7}:{(27,1),(74,1),(75,1),(133,1),(135,1),(139,1),(170,1),(174,1)}
        49:{3,4,7}:{(28,1),(63,1),(76,1),(77,1),(135,1)}
        50:{1,3,5,7}:{(28,1),(29,1),(34,1),(64,1),(76,1),(78,1),(84,1),(135,1)}
        51:{2,5,7}:{(28,1),(30,1),(65,1),(77,1)}
        52:{1,2,6,7}:{(29,1),(30,1),(66,1),(78,1),(79,1),(138,1),(208,1)}
        53:{3,4,7}:{(31,1),(68,1),(80,1),(81,1),(139,1)}
        54:{1,5,7}:{(31,1),(32,1),(69,1),(80,1)}
        55:{2,3,5,7}:{(31,1),(33,1),(35,1),(70,1),(81,1),(82,1),(84,1),(139,1)}
        56:{1,2,6,7}:{(32,1),(33,1),(71,1),(82,1),(83,1),(134,1),(209,1)}
        57:{1,2,5,7}:{(34,1),(35,1),(36,1),(73,1),(84,1),(137,1),(141,1)}
        58:{3,6,7}:{(36,1),(74,1),(84,1),(135,1),(139,1)}
        59:{1,3,4,6}:{(37,1),(40,1),(87,1),(88,1),(94,1),(105,1),(151,1),(190,1),(194,1)}
        60:{1,2,4,7}:{(37,1),(41,1),(88,1),(89,1),(98,1),(191,1)}
        61:{2,3,4,6}:{(38,1),(43,1),(91,1),(92,1),(100,1),(105,1),(155,1),(193,1),(196,1)}
        62:{1,2,4,7}:{(38,1),(44,1),(92,1),(93,1),(103,1),(188,1)}
        63:{3,4,6}:{(39,1),(49,1),(86,1),(94,1),(95,1),(151,1)}
        64:{1,3,5,6}:{(39,1),(40,1),(45,1),(50,1),(87,1),(94,1),(96,1),(104,1),(151,1)}
        65:{2,5,6}:{(39,1),(51,1),(95,1)}
        66:{1,2,6}:{(40,1),(41,1),(97,1)}
        67:{2,3,5,7}:{(41,1),(48,1),(89,1),(97,1),(98,1),(146,1),(153,1),(163,1),(192,1),(200,1)}
        68:{3,4,6}:{(42,1),(53,1),(90,1),(99,1),(100,1),(155,1)}
        69:{1,5,6}:{(42,1),(54,1),(99,1)}
        70:{2,3,5,6}:{(42,1),(43,1),(46,1),(55,1),(91,1),(100,1),(101,1),(104,1),(155,1)}
        71:{1,2,6}:{(43,1),(44,1),(102,1)}
        72:{1,3,5,7}:{(44,1),(48,1),(93,1),(102,1),(103,1),(149,1),(157,1),(159,1),(189,1),(198,1)}
        73:{1,2,5,6}:{(45,1),(46,1),(47,1),(57,1),(104,1),(153,1),(157,1),(162,1),(166,1)}
        74:{3,6}:{(47,1),(48,1)}
        75:{3,4,7}:{(48,1),(98,1),(103,1),(105,1),(114,1),(190,1),(193,1)}
        76:{1,4,7}:{(49,1),(50,1),(94,1),(114,1)}
        77:{2,4,7}:{(49,1),(51,1),(95,1),(106,1)}
        78:{1,2,5,7}:{(50,1),(51,1),(52,1),(96,1),(107,1),(108,1),(198,1)}
        79:{2,3,6,7}:{(52,1),(58,1),(97,1),(108,1),(109,1),(163,1),(199,1)}
        80:{1,4,7}:{(53,1),(54,1),(99,1),(110,1)}
        81:{2,4,7}:{(53,1),(55,1),(100,1),(114,1)}
        82:{1,2,5,7}:{(54,1),(55,1),(56,1),(101,1),(111,1),(112,1),(200,1)}
        83:{1,3,6,7}:{(56,1),(58,1),(102,1),(112,1),(113,1),(159,1),(201,1)}
        84:{3,5,7}:{(57,1),(58,1),(104,1),(114,1)}
        85:{3,4,6,7}:{(58,1),(105,1),(109,1),(113,1),(114,1),(115,1),(160,1),(164,1),(167,1),(199,1),(201,1)}
        86:{3,4,5}:{(63,1),(116,1),(117,1),(170,1)}
        87:{1,3,5}:{(59,1),(116,1),(118,1),(133,1),(170,1),(206,1)}
        88:{1,2,4,6}:{(59,1),(60,1),(66,1),(118,1),(119,1),(127,1),(171,1)}
        89:{2,3,7}:{(60,1),(119,1),(135,1),(204,1)}
        90:{3,4,5}:{(68,1),(120,1),(121,1),(174,1)}
        91:{2,3,5}:{(61,1),(121,1),(122,1),(133,1),(174,1),(207,1)}
        92:{1,2,4,6}:{(61,1),(62,1),(71,1),(122,1),(123,1),(131,1),(175,1)}
        93:{1,3,7}:{(62,1),(123,1),(139,1),(202,1)}
        94:{1,4,6}:{(63,1),(64,1),(76,1),(116,1),(132,1)}
        95:{2,4,6}:{(63,1),(65,1),(77,1),(117,1),(124,1)}
        96:{1,2,5,6}:{(64,1),(65,1),(66,1),(78,1),(118,1),(125,1),(126,1),(206,1),(208,1)}
        97:{2,3,6}:{(66,1),(67,1),(74,1),(127,1),(209,1)}
        98:{2,4,7}:{(67,1),(75,1),(127,1),(171,1),(205,1)}
        99:{1,4,6}:{(68,1),(69,1),(80,1),(120,1),(128,1)}
       100:{2,4,6}:{(68,1),(70,1),(81,1),(121,1),(132,1)}
       101:{1,2,5,6}:{(69,1),(70,1),(71,1),(82,1),(122,1),(129,1),(130,1),(207,1),(209,1)}
       102:{1,3,6}:{(71,1),(72,1),(74,1),(131,1),(208,1)}
       103:{1,4,7}:{(72,1),(75,1),(131,1),(175,1),(203,1)}
       104:{3,5,6}:{(73,1),(74,1),(84,1),(132,1),(133,1)}
       105:{3,4,6}:{(74,1),(75,1),(127,1),(131,1),(132,1),(133,1)}
       106:{2,3,7}:{(77,1),(124,1),(134,1),(135,1)}
       107:{1,2,4,7}:{(76,1),(77,1),(78,1),(125,1),(134,1),(135,1),(136,1),(182,1)}
       108:{2,3,5,7}:{(78,1),(79,1),(84,1),(126,1),(135,1),(136,1),(137,1),(183,1)}
       109:{2,4,6,7}:{(79,1),(85,1),(127,1),(136,1),(137,1),(184,1),(185,1),(209,1)}
       110:{1,3,7}:{(80,1),(128,1),(138,1),(139,1)}
       111:{1,2,4,7}:{(80,1),(81,1),(82,1),(129,1),(138,1),(139,1),(140,1),(185,1)}
       112:{1,3,5,7}:{(82,1),(83,1),(84,1),(130,1),(139,1),(140,1),(141,1),(186,1)}
       113:{1,4,6,7}:{(83,1),(85,1),(131,1),(140,1),(141,1),(182,1),(187,1),(208,1)}
       114:{4,7}:{(84,1),(132,1)}
       115:{3,5,7}:{(85,1),(133,1),(137,1),(141,1),(142,1),(143,1)}
       116:{1,4,5}:{(86,1),(87,1),(94,1),(158,1)}
       117:{2,4,5}:{(86,1),(95,1),(144,1)}
       118:{1,2,5}:{(87,1),(88,1),(146,1),(153,1)}
       119:{2,3,6}:{(88,1),(89,1),(146,1),(151,1)}
       120:{1,4,5}:{(90,1),(99,1),(147,1)}
       121:{2,4,5}:{(90,1),(91,1),(100,1),(158,1)}
       122:{1,2,5}:{(91,1),(92,1),(149,1),(157,1)}
       123:{1,3,6}:{(92,1),(93,1),(149,1),(155,1)}
       124:{2,3,6}:{(95,1),(106,1),(144,1),(150,1),(151,1)}
       125:{1,2,4,6}:{(94,1),(95,1),(96,1),(107,1),(145,1),(150,1),(151,1),(152,1),(194,1)}
       126:{2,3,5,6}:{(96,1),(97,1),(104,1),(108,1),(146,1),(151,1),(152,1),(153,1),(162,1),(195,1),(199,1)}
       127:{2,4,6}:{(97,1),(98,1),(105,1),(153,1)}
       128:{1,3,6}:{(99,1),(110,1),(147,1),(154,1),(155,1)}
       129:{1,2,4,6}:{(99,1),(100,1),(101,1),(111,1),(148,1),(154,1),(155,1),(156,1),(196,1)}
       130:{1,3,5,6}:{(101,1),(102,1),(104,1),(112,1),(149,1),(155,1),(156,1),(157,1),(166,1),(197,1),(201,1)}
       131:{1,4,6}:{(102,1),(103,1),(105,1),(157,1)}
       132:{4,6}:{(104,1),(114,1),(158,1)}
       133:{3,5}:{(105,1),(153,1),(157,1),(158,1)}
       134:{1,2,7}:{(106,1),(150,1),(159,1)}
       135:{3,7}:{(107,1),(151,1)}
       136:{2,4,7}:{(108,1),(114,1),(152,1),(160,1)}
       137:{2,5,7}:{(109,1),(115,1),(153,1),(162,1)}
       138:{1,2,7}:{(110,1),(154,1),(163,1)}
       139:{3,7}:{(111,1),(155,1)}
       140:{1,4,7}:{(112,1),(114,1),(156,1),(164,1)}
       141:{1,5,7}:{(113,1),(115,1),(157,1),(166,1)}
       142:{4,5,7}:{(114,1),(115,1),(158,1),(167,1)}
       143:{3,5,6}:{(115,1),(162,1),(166,1),(167,1),(199,1),(201,1)}
       144:{2,3,5}:{(117,1),(124,1),(168,1),(169,1),(170,1)}
       145:{1,2,4,5}:{(116,1),(117,1),(118,1),(125,1),(169,1),(170,1),(171,1),(178,1),(203,1),(206,1)}
       146:{2,3,5}:{(118,1),(119,1),(170,1),(171,1)}
       147:{1,3,5}:{(120,1),(128,1),(172,1),(173,1),(174,1)}
       148:{1,2,4,5}:{(120,1),(121,1),(122,1),(129,1),(173,1),(174,1),(175,1),(181,1),(205,1),(207,1)}
       149:{1,3,5}:{(122,1),(123,1),(174,1),(175,1)}
       150:{1,2,6}:{(124,1),(134,1),(169,1),(176,1)}
       151:{3,6}:{(125,1),(135,1),(170,1)}
       152:{2,4,6}:{(126,1),(132,1),(136,1),(171,1),(177,1),(178,1)}
       153:{2,5}:{(127,1),(133,1)}
       154:{1,2,6}:{(128,1),(138,1),(173,1),(179,1)}
       155:{3,6}:{(129,1),(139,1),(174,1)}
       156:{1,4,6}:{(130,1),(132,1),(140,1),(175,1),(180,1),(181,1)}
       157:{1,5}:{(131,1),(133,1)}
       158:{4,5}:{(132,1),(133,1)}
       159:{1,3,7}:{(134,1),(135,1),(176,1),(182,1)}
       160:{3,4,7}:{(135,1),(136,1),(177,1),(182,1),(183,1)}
       161:{2,4,5,7}:{(136,1),(137,1),(142,1),(178,1),(183,1),(184,1)}
       162:{2,5,6}:{(137,1),(143,1),(184,1),(209,1)}
       163:{2,3,7}:{(138,1),(139,1),(179,1),(185,1)}
       164:{3,4,7}:{(139,1),(140,1),(180,1),(185,1),(186,1)}
       165:{1,4,5,7}:{(140,1),(141,1),(142,1),(181,1),(186,1),(187,1)}
       166:{1,5,6}:{(141,1),(143,1),(187,1),(208,1)}
       167:{4,6}:{(142,1),(143,1)}
       168:{2,3,4}:{(144,1),(188,1),(190,1)}
       169:{1,2,5}:{(144,1),(150,1),(188,1),(189,1)}
       170:{3,5}:{(145,1),(151,1),(190,1)}
       171:{2,4}:{(146,1),(190,1)}
       172:{1,3,4}:{(147,1),(191,1),(193,1)}
       173:{1,2,5}:{(147,1),(154,1),(191,1),(192,1)}
       174:{3,5}:{(148,1),(155,1),(193,1)}
       175:{1,4}:{(149,1),(193,1)}
       176:{1,3,6}:{(150,1),(151,1),(159,1),(189,1),(194,1)}
       177:{3,4,6}:{(151,1),(152,1),(160,1),(190,1),(194,1),(195,1),(199,1)}
       178:{2,4,5}:{(152,1),(153,1),(158,1),(195,1)}
       179:{2,3,6}:{(154,1),(155,1),(163,1),(192,1),(196,1)}
       180:{3,4,6}:{(155,1),(156,1),(164,1),(193,1),(196,1),(197,1),(201,1)}
       181:{1,4,5}:{(156,1),(157,1),(158,1),(197,1)}
       182:{1,4,7}:{(159,1),(160,1),(194,1),(198,1)}
       183:{3,5,7}:{(160,1),(161,1),(195,1),(198,1),(199,1)}
       184:{2,4,6}:{(161,1),(162,1),(167,1),(199,1)}
       185:{2,4,7}:{(163,1),(164,1),(196,1),(200,1)}
       186:{3,5,7}:{(164,1),(165,1),(197,1),(200,1),(201,1)}
       187:{1,4,6}:{(165,1),(166,1),(167,1),(201,1)}
       188:{1,2,4}:{(168,1),(169,1),(202,1),(203,1)}
       189:{1,3,5}:{(169,1),(170,1),(176,1),(202,1),(203,1),(206,1)}
       190:{3,4}:{(170,1),(171,1),(203,1)}
       191:{1,2,4}:{(172,1),(173,1),(204,1),(205,1)}
       192:{2,3,5}:{(173,1),(174,1),(179,1),(204,1),(205,1),(207,1)}
       193:{3,4}:{(174,1),(175,1),(205,1)}
       194:{1,4,6}:{(176,1),(177,1),(182,1),(203,1),(206,1),(208,1)}
       195:{3,5}:{(177,1),(178,1),(206,1)}
       196:{2,4,6}:{(179,1),(180,1),(185,1),(205,1),(207,1),(209,1)}
       197:{3,5}:{(180,1),(181,1),(207,1)}
       198:{1,5,7}:{(182,1),(183,1),(206,1),(208,1)}
       199:{3,6}:{(183,1),(184,1),(208,1)}
       200:{2,5,7}:{(185,1),(186,1),(207,1),(209,1)}
       201:{3,6}:{(186,1),(187,1),(209,1)}
       202:{1,3}:{(188,1)}
       203:{1,4}:{(189,1),(190,1)}
       204:{2,3}:{(191,1)}
       205:{2,4}:{(192,1),(193,1)}
       206:{1,5}:{(194,1),(195,1)}
       207:{2,5}:{(196,1),(197,1)}
       208:{1,6}:{(198,1),(199,1)}
       209:{2,6}:{(200,1),(201,1)}

 485 :  0:{1,2,6,7}:{(1,1),(2,1),(47,1),(48,1)}
        1:{3,6,7}:{(0,1),(4,1),(5,1),(37,1)}
        2:{1,2,5,7}:{(0,1),(3,1),(5,1),(6,1),(38,1),(39,1)}
        3:{1,2,5,6}:{(2,1),(7,1),(8,1),(44,1),(45,1),(47,1),(48,1)}
        4:{4,6,7}:{(1,1),(9,1),(10,1),(25,1)}
        5:{3,5,7}:{(1,1),(2,1),(7,1),(9,1),(10,1),(11,1)}
        6:{1,2,4,7}:{(2,1),(8,1),(10,1),(11,1),(27,1),(28,1),(29,1)}
        7:{3,5,6}:{(3,1),(5,1),(13,1),(14,1),(15,1),(33,1),(37,1)}
        8:{1,2,4,6}:{(3,1),(6,1),(12,1),(13,1),(14,1),(34,1),(35,1),(36,1)}
        9:{5,7}:{(4,1),(15,1)}
       10:{4,7}:{(5,1),(13,1)}
       11:{3,7}:{(6,1),(14,1)}
       12:{1,2,4,5}:{(8,1),(20,1),(21,1),(41,1),(42,1),(43,1),(44,1),(45,1)}
       13:{4,6}:{(7,1),(10,1),(21,1)}
       14:{3,6}:{(8,1),(11,1),(20,1)}
       15:{5,6}:{(9,1),(25,1),(62,1)}
       16:{4,5,7}:{(9,1),(10,1),(21,1),(25,1),(26,1),(59,1),(62,1)}
       17:{3,4,7}:{(10,1),(11,1),(22,1),(26,1),(27,1),(28,1),(50,1),(59,1)}
       18:{1,3,7}:{(11,1),(23,1),(27,1),(29,1),(50,1)}
       19:{2,3,7}:{(11,1),(24,1),(28,1),(29,1),(50,1)}
       20:{3,5}:{(12,1),(14,1),(30,1)}
       21:{4,5}:{(13,1),(33,1),(60,1)}
       22:{3,4,6}:{(13,1),(14,1),(17,1),(30,1),(33,1),(34,1),(35,1),(37,1),(53,1),(60,1),(61,1)}
       23:{1,3,6}:{(14,1),(18,1),(31,1),(34,1),(36,1),(53,1)}
       24:{2,3,6}:{(14,1),(19,1),(32,1),(35,1),(36,1),(53,1)}
       25:{4,6}:{(15,1),(16,1),(37,1)}
       26:{3,5,7}:{(16,1),(17,1),(33,1),(37,1),(38,1),(39,1)}
       27:{1,4,7}:{(17,1),(18,1),(34,1),(38,1)}
       28:{2,4,7}:{(17,1),(19,1),(35,1),(39,1)}
       29:{1,2,7}:{(18,1),(19,1),(36,1)}
       30:{3,4}:{(20,1),(41,1),(42,1),(56,1)}
       31:{1,3,5}:{(20,1),(23,1),(41,1),(43,1),(44,1),(56,1),(57,1)}
       32:{2,3,5}:{(20,1),(24,1),(42,1),(43,1),(45,1),(56,1),(57,1)}
       33:{3,5}:{(21,1),(22,1),(44,1),(45,1),(62,1)}
       34:{1,4,6}:{(22,1),(23,1),(27,1),(41,1),(44,1),(47,1)}
       35:{2,4,6}:{(22,1),(24,1),(28,1),(42,1),(45,1),(48,1)}
       36:{1,2,6}:{(23,1),(24,1),(29,1),(43,1)}
       37:{3,6}:{(25,1),(26,1),(47,1),(48,1)}
       38:{1,5,7}:{(26,1),(27,1),(44,1),(47,1)}
       39:{2,5,7}:{(26,1),(28,1),(45,1),(48,1)}
       40:{1,2,4,7}:{(27,1),(28,1),(29,1),(46,1),(49,1),(50,1),(59,1)}
       41:{1,4}:{(30,1),(31,1),(60,1)}
       42:{2,4}:{(30,1),(32,1),(60,1)}
       43:{1,2,5}:{(31,1),(32,1),(36,1),(51,1)}
       44:{1,5}:{(33,1),(34,1)}
       45:{2,5}:{(33,1),(35,1)}
       46:{1,2,4,6}:{(34,1),(35,1),(36,1),(40,1),(51,1),(52,1),(53,1),(54,1),(60,1),(61,1)}
       47:{1,6}:{(37,1),(38,1)}
       48:{2,6}:{(37,1),(39,1)}
       49:{1,2,5,7}:{(38,1),(39,1),(40,1),(52,1),(54,1),(55,1)}
       50:{3,7}:{(40,1),(53,1)}
       51:{1,2,4}:{(41,1),(42,1),(43,1),(56,1)}
       52:{1,2,5}:{(44,1),(45,1),(46,1),(57,1),(62,1)}
       53:{3,6}:{(46,1),(50,1),(56,1),(57,1)}
       54:{1,2,6}:{(47,1),(48,1),(49,1),(58,1)}
       55:{3,5,7}:{(49,1),(50,1),(57,1),(58,1),(59,1),(62,1)}
       56:{3}:{(51,1)}
       57:{3,5}:{(52,1),(53,1),(60,1)}
       58:{3,6}:{(54,1),(55,1),(61,1)}
       59:{4,7}:{(55,1),(60,1),(61,1)}
       60:{4}:{(57,1)}
       61:{4,6}:{(58,1),(59,1),(62,1)}
       62:{5}:{(61,1)}

 486 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(21,1),(25,1),(52,1),(55,1),(110,1)}
         1:{2,3,4,6}:{(2,1),(5,1),(6,1),(26,1),(30,1),(52,1),(55,1),(110,1)}
         2:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(9,1),(31,1),(37,1)}
         3:{1,3,5}:{(0,1),(8,1),(11,1),(35,1),(139,1)}
         4:{1,3,4,7}:{(0,1),(9,1),(12,1),(40,1),(80,1),(84,1),(225,1)}
         5:{2,3,5}:{(1,1),(8,1),(14,1),(35,1),(139,1)}
         6:{2,3,4,7}:{(1,1),(9,1),(15,1),(47,1),(80,1),(84,1),(226,1)}
         7:{1,2,3,6}:{(2,1),(16,1),(17,1),(55,1),(112,1)}
         8:{1,2,5}:{(2,1),(3,1),(5,1)}
         9:{1,2,4,7}:{(2,1),(4,1),(6,1),(17,1),(20,1),(229,1)}
        10:{1,3,5,6}:{(3,1),(18,1),(21,1),(22,1),(25,1),(55,1),(62,1),(69,1),(120,1)}
        11:{1,4,5}:{(3,1),(21,1),(23,1),(162,1)}
        12:{1,3,5,7}:{(3,1),(4,1),(20,1),(24,1),(25,1),(60,1),(220,1),(222,1)}
        13:{2,3,5,6}:{(5,1),(18,1),(26,1),(27,1),(30,1),(55,1),(70,1),(77,1),(120,1)}
        14:{2,4,5}:{(5,1),(26,1),(28,1),(162,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(20,1),(29,1),(30,1),(60,1),(221,1),(223,1)}
        16:{1,2,3,5}:{(7,1),(8,1),(31,1),(35,1),(86,1),(135,1)}
        17:{1,2,3,7}:{(7,1),(9,1),(84,1),(140,1),(230,1)}
        18:{1,2,5,6}:{(8,1),(10,1),(13,1),(33,1),(34,1),(37,1),(91,1),(99,1)}
        19:{1,2,4,5}:{(8,1),(11,1),(14,1),(31,1),(33,1),(35,1),(42,1),(49,1),(86,1)}
        20:{1,2,5,7}:{(8,1),(9,1),(12,1),(15,1),(37,1),(227,1),(228,1)}
        21:{1,4,6}:{(10,1),(11,1),(39,1),(40,1),(147,1)}
        22:{1,3,5,7}:{(10,1),(34,1),(40,1),(41,1),(84,1),(92,1),(96,1),(143,1)}
        23:{3,4,5}:{(11,1),(35,1),(39,1),(42,1)}
        24:{1,4,5,7}:{(11,1),(12,1),(40,1),(43,1),(44,1),(96,1),(211,1),(214,1)}
        25:{1,3,6}:{(12,1),(37,1),(44,1),(89,1)}
        26:{2,4,6}:{(13,1),(14,1),(46,1),(47,1),(147,1)}
        27:{2,3,5,7}:{(13,1),(34,1),(47,1),(48,1),(84,1),(100,1),(104,1),(143,1)}
        28:{3,4,5}:{(14,1),(35,1),(46,1),(49,1)}
        29:{2,4,5,7}:{(14,1),(15,1),(47,1),(50,1),(51,1),(104,1),(210,1),(213,1)}
        30:{2,3,6}:{(15,1),(37,1),(51,1),(89,1)}
        31:{1,2,4}:{(16,1),(52,1)}
        32:{1,2,3,5,7}:{(16,1),(17,1),(20,1),(53,1),(54,1),(60,1),(111,1),(117,1),(158,1),(194,1)}
        33:{1,2,4,6}:{(18,1),(19,1),(21,1),(26,1),(55,1),(56,1),(64,1),(72,1),(112,1)}
        34:{1,2,5,7}:{(18,1),(22,1),(27,1),(56,1),(57,1),(121,1),(128,1)}
        35:{3,5}:{(19,1),(52,1),(55,1)}
        36:{1,2,4,5,7}:{(19,1),(20,1),(24,1),(29,1),(53,1),(56,1),(60,1),(61,1),(67,1),(75,1),(111,1),(116,1),(117,1),(162,1),(166,1),(195,1),(198,1)}
        37:{1,2,6}:{(20,1),(25,1),(30,1)}
        38:{1,4,5,6}:{(21,1),(62,1),(63,1),(69,1),(127,1)}
        39:{3,4,6}:{(21,1),(23,1),(55,1),(62,1),(64,1),(65,1)}
        40:{1,4,7}:{(21,1),(22,1),(65,1),(166,1)}
        41:{1,3,6,7}:{(22,1),(25,1),(57,1),(66,1),(115,1),(122,1),(222,1)}
        42:{2,4,5}:{(23,1),(59,1),(64,1)}
        43:{3,4,5,7}:{(23,1),(24,1),(60,1),(65,1),(67,1),(68,1),(125,1),(162,1),(166,1),(197,1),(200,1)}
        44:{1,4,6}:{(24,1),(25,1),(68,1),(69,1)}
        45:{2,4,5,6}:{(26,1),(70,1),(71,1),(77,1),(134,1)}
        46:{3,4,6}:{(26,1),(28,1),(55,1),(70,1),(72,1),(73,1)}
        47:{2,4,7}:{(26,1),(27,1),(73,1),(166,1)}
        48:{2,3,6,7}:{(27,1),(30,1),(57,1),(74,1),(115,1),(129,1),(223,1)}
        49:{1,4,5}:{(28,1),(58,1),(72,1)}
        50:{3,4,5,7}:{(28,1),(29,1),(60,1),(73,1),(75,1),(76,1),(132,1),(162,1),(166,1),(196,1),(199,1)}
        51:{2,4,6}:{(29,1),(30,1),(76,1),(77,1)}
        52:{3,4}:{(31,1),(35,1)}
        53:{1,2,4,7}:{(31,1),(32,1),(80,1),(81,1),(208,1)}
        54:{1,2,3,6}:{(32,1),(37,1),(81,1),(89,1),(144,1)}
        55:{3,6}:{(33,1),(35,1),(84,1)}
        56:{1,2,4,7}:{(33,1),(34,1),(40,1),(47,1),(84,1),(94,1),(102,1),(140,1)}
        57:{1,2,6,7}:{(34,1),(37,1),(41,1),(48,1),(148,1),(153,1),(228,1)}
        58:{1,3,5}:{(35,1),(49,1),(78,1),(82,1),(86,1)}
        59:{2,3,5}:{(35,1),(42,1),(79,1),(83,1),(86,1)}
        60:{3,5,7}:{(35,1),(36,1),(80,1),(84,1),(89,1),(139,1),(209,1),(212,1)}
        61:{1,2,4,6}:{(36,1),(37,1),(44,1),(51,1),(89,1),(90,1),(97,1),(105,1),(144,1),(147,1)}
        62:{3,5,6}:{(38,1),(39,1),(91,1),(92,1)}
        63:{1,4,5,7}:{(38,1),(40,1),(92,1),(93,1),(96,1),(151,1)}
        64:{2,4,6}:{(39,1),(42,1),(83,1),(91,1),(94,1)}
        65:{3,4,7}:{(39,1),(40,1),(84,1),(92,1),(94,1)}
        66:{1,4,6,7}:{(40,1),(41,1),(44,1),(95,1),(96,1),(214,1),(217,1)}
        67:{2,4,5,7}:{(42,1),(43,1),(88,1),(94,1),(97,1),(150,1),(181,1),(184,1)}
        68:{3,4,6}:{(43,1),(44,1),(89,1),(97,1),(98,1),(147,1)}
        69:{1,5,6}:{(44,1),(96,1),(98,1)}
        70:{3,5,6}:{(45,1),(46,1),(99,1),(100,1)}
        71:{2,4,5,7}:{(45,1),(47,1),(100,1),(101,1),(104,1),(156,1)}
        72:{1,4,6}:{(46,1),(49,1),(82,1),(99,1),(102,1)}
        73:{3,4,7}:{(46,1),(47,1),(84,1),(100,1),(102,1)}
        74:{2,4,6,7}:{(47,1),(48,1),(51,1),(103,1),(104,1),(213,1),(218,1)}
        75:{1,4,5,7}:{(49,1),(50,1),(87,1),(102,1),(105,1),(155,1),(180,1),(183,1)}
        76:{3,4,6}:{(50,1),(51,1),(89,1),(105,1),(106,1),(147,1)}
        77:{2,5,6}:{(51,1),(104,1),(106,1)}
        78:{1,3,4}:{(52,1),(58,1),(107,1)}
        79:{2,3,4}:{(52,1),(59,1),(107,1)}
        80:{3,4,7}:{(52,1),(53,1),(60,1),(110,1),(166,1),(219,1)}
        81:{1,2,4,6}:{(53,1),(54,1),(110,1),(111,1)}
        82:{1,3,6}:{(55,1),(58,1),(72,1),(112,1),(113,1)}
        83:{2,3,6}:{(55,1),(59,1),(64,1),(112,1),(114,1)}
        84:{3,7}:{(55,1),(56,1)}
        85:{1,2,4,6,7}:{(56,1),(57,1),(61,1),(66,1),(74,1),(115,1),(116,1),(124,1),(131,1),(163,1),(166,1),(198,1)}
        86:{1,2,5}:{(58,1),(59,1),(107,1),(112,1)}
        87:{1,3,5,7}:{(58,1),(60,1),(75,1),(108,1),(113,1),(117,1),(118,1),(160,1)}
        88:{2,3,5,7}:{(59,1),(60,1),(67,1),(109,1),(114,1),(117,1),(119,1),(161,1)}
        89:{3,6}:{(60,1),(61,1)}
        90:{1,2,5,6}:{(61,1),(69,1),(77,1),(111,1),(116,1),(120,1),(126,1),(133,1)}
        91:{2,5,6}:{(62,1),(64,1),(121,1)}
        92:{3,5,7}:{(62,1),(63,1),(65,1),(121,1),(122,1)}
        93:{1,4,6,7}:{(63,1),(122,1),(123,1),(171,1)}
        94:{2,4,7}:{(64,1),(65,1),(114,1),(121,1)}
        95:{3,4,6,7}:{(65,1),(66,1),(68,1),(115,1),(122,1),(124,1),(125,1),(166,1),(171,1),(200,1),(204,1)}
        96:{1,5,7}:{(66,1),(69,1),(125,1)}
        97:{2,4,6}:{(67,1),(68,1),(119,1),(126,1)}
        98:{3,5,6}:{(68,1),(69,1),(125,1),(126,1),(127,1)}
        99:{1,5,6}:{(70,1),(72,1),(128,1)}
       100:{3,5,7}:{(70,1),(71,1),(73,1),(128,1),(129,1)}
       101:{2,4,6,7}:{(71,1),(129,1),(130,1),(175,1)}
       102:{1,4,7}:{(72,1),(73,1),(113,1),(128,1)}
       103:{3,4,6,7}:{(73,1),(74,1),(76,1),(115,1),(129,1),(131,1),(132,1),(166,1),(175,1),(199,1),(206,1)}
       104:{2,5,7}:{(74,1),(77,1),(132,1)}
       105:{1,4,6}:{(75,1),(76,1),(118,1),(133,1)}
       106:{3,5,6}:{(76,1),(77,1),(132,1),(133,1),(134,1)}
       107:{1,2,4}:{(78,1),(79,1),(86,1),(135,1)}
       108:{1,3,4,7}:{(78,1),(80,1),(87,1),(136,1),(137,1),(183,1),(212,1)}
       109:{2,3,4,7}:{(79,1),(80,1),(88,1),(136,1),(138,1),(184,1),(212,1)}
       110:{3,4,6}:{(80,1),(81,1),(89,1),(139,1),(147,1)}
       111:{1,2,5}:{(81,1),(139,1)}
       112:{1,2,6}:{(82,1),(83,1),(86,1),(140,1)}
       113:{1,3,7}:{(82,1),(84,1),(102,1),(140,1)}
       114:{2,3,7}:{(83,1),(84,1),(94,1),(140,1)}
       115:{3,6,7}:{(84,1),(85,1),(89,1),(143,1),(212,1)}
       116:{1,2,5,7}:{(85,1),(90,1),(96,1),(104,1),(143,1),(150,1),(155,1)}
       117:{1,2,5,7}:{(86,1),(87,1),(88,1),(136,1),(140,1),(144,1),(179,1)}
       118:{1,3,6}:{(87,1),(89,1),(105,1),(144,1)}
       119:{2,3,6}:{(88,1),(89,1),(97,1),(144,1)}
       120:{3,5,6}:{(89,1),(90,1),(139,1),(143,1),(147,1)}
       121:{2,5,7}:{(91,1),(92,1),(94,1),(148,1)}
       122:{3,6,7}:{(92,1),(93,1),(148,1)}
       123:{1,5,6,7}:{(93,1),(96,1),(149,1),(217,1)}
       124:{2,4,6,7}:{(94,1),(95,1),(97,1),(142,1),(148,1),(150,1),(184,1)}
       125:{3,5,7}:{(95,1),(96,1),(98,1),(150,1),(151,1)}
       126:{2,5,6}:{(97,1),(98,1),(150,1)}
       127:{4,5,6}:{(98,1),(147,1),(151,1)}
       128:{1,5,7}:{(99,1),(100,1),(102,1),(153,1)}
       129:{3,6,7}:{(100,1),(101,1),(153,1)}
       130:{2,5,6,7}:{(101,1),(104,1),(154,1),(218,1)}
       131:{1,4,6,7}:{(102,1),(103,1),(105,1),(141,1),(153,1),(155,1),(183,1)}
       132:{3,5,7}:{(103,1),(104,1),(106,1),(155,1),(156,1)}
       133:{1,5,6}:{(105,1),(106,1),(155,1)}
       134:{4,5,6}:{(106,1),(147,1),(156,1)}
       135:{1,2,3}:{(107,1)}
       136:{1,2,4,7}:{(107,1),(108,1),(109,1),(117,1),(158,1),(159,1)}
       137:{1,3,4,6}:{(108,1),(110,1),(118,1),(159,1),(160,1),(168,1),(201,1),(219,1)}
       138:{2,3,4,6}:{(109,1),(110,1),(119,1),(159,1),(161,1),(169,1),(201,1),(219,1)}
       139:{3,5}:{(110,1),(111,1),(162,1)}
       140:{1,2,7}:{(112,1),(113,1),(114,1)}
       141:{1,3,6,7}:{(113,1),(115,1),(118,1),(131,1),(163,1),(164,1),(206,1)}
       142:{2,3,6,7}:{(114,1),(115,1),(119,1),(124,1),(163,1),(165,1),(204,1)}
       143:{3,5,7}:{(115,1),(116,1),(120,1),(166,1)}
       144:{1,2,6}:{(117,1),(118,1),(119,1)}
       145:{1,3,5,6}:{(118,1),(120,1),(133,1),(160,1),(164,1),(167,1),(168,1),(177,1),(201,1)}
       146:{2,3,5,6}:{(119,1),(120,1),(126,1),(161,1),(165,1),(167,1),(169,1),(173,1),(201,1)}
       147:{4,6}:{(120,1),(162,1),(166,1)}
       148:{2,6,7}:{(121,1),(122,1)}
       149:{3,5,6,7}:{(122,1),(123,1),(125,1),(170,1),(171,1),(204,1)}
       150:{2,5,7}:{(124,1),(125,1),(126,1)}
       151:{4,5,7}:{(125,1),(127,1),(166,1),(171,1)}
       152:{2,4,5,6}:{(126,1),(127,1),(169,1),(172,1),(173,1)}
       153:{1,6,7}:{(128,1),(129,1)}
       154:{3,5,6,7}:{(129,1),(130,1),(132,1),(174,1),(175,1),(206,1)}
       155:{1,5,7}:{(131,1),(132,1),(133,1)}
       156:{4,5,7}:{(132,1),(134,1),(166,1),(175,1)}
       157:{1,4,5,6}:{(133,1),(134,1),(168,1),(176,1),(177,1)}
       158:{1,2,3,7}:{(135,1),(136,1),(178,1),(212,1),(228,1)}
       159:{1,2,4,6}:{(136,1),(137,1),(138,1),(144,1),(178,1),(179,1),(208,1)}
       160:{1,3,5}:{(137,1),(139,1),(179,1),(180,1),(209,1)}
       161:{2,3,5}:{(138,1),(139,1),(179,1),(181,1),(209,1)}
       162:{4,5}:{(139,1),(147,1)}
       163:{1,2,6,7}:{(140,1),(141,1),(142,1),(144,1),(182,1),(217,1),(218,1)}
       164:{1,3,5,7}:{(141,1),(143,1),(145,1),(155,1),(182,1),(183,1),(192,1),(212,1)}
       165:{2,3,5,7}:{(142,1),(143,1),(146,1),(150,1),(182,1),(184,1),(189,1),(212,1)}
       166:{4,7}:{(143,1),(147,1)}
       167:{1,2,5,6}:{(144,1),(145,1),(146,1),(179,1),(182,1),(185,1),(190,1),(193,1)}
       168:{1,4,6}:{(145,1),(147,1),(180,1),(183,1),(186,1)}
       169:{2,4,6}:{(146,1),(147,1),(181,1),(184,1),(187,1)}
       170:{2,5,6,7}:{(148,1),(149,1),(150,1),(188,1)}
       171:{4,6,7}:{(149,1),(151,1)}
       172:{2,4,5,7}:{(150,1),(151,1),(152,1),(184,1),(188,1),(189,1)}
       173:{3,5,6}:{(152,1),(187,1),(189,1),(190,1)}
       174:{1,5,6,7}:{(153,1),(154,1),(155,1),(191,1)}
       175:{4,6,7}:{(154,1),(156,1)}
       176:{1,4,5,7}:{(155,1),(156,1),(157,1),(183,1),(191,1),(192,1)}
       177:{3,5,6}:{(157,1),(186,1),(192,1),(193,1)}
       178:{1,2,3,6}:{(158,1),(159,1),(194,1),(201,1),(224,1)}
       179:{1,2,5}:{(159,1),(160,1),(161,1)}
       180:{1,4,5}:{(160,1),(162,1),(168,1),(196,1)}
       181:{2,4,5}:{(161,1),(162,1),(169,1),(197,1)}
       182:{1,2,5,7}:{(163,1),(164,1),(165,1),(167,1),(198,1),(205,1),(207,1)}
       183:{1,4,7}:{(164,1),(166,1),(168,1),(199,1)}
       184:{2,4,7}:{(165,1),(166,1),(169,1),(200,1)}
       185:{1,2,4,6}:{(167,1),(168,1),(169,1),(195,1),(198,1),(201,1),(202,1),(203,1),(224,1)}
       186:{3,4,6}:{(168,1),(177,1),(196,1),(199,1),(201,1),(202,1)}
       187:{3,4,6}:{(169,1),(173,1),(197,1),(200,1),(201,1),(203,1)}
       188:{2,4,6,7}:{(170,1),(171,1),(172,1),(204,1)}
       189:{3,5,7}:{(172,1),(173,1),(200,1),(204,1),(205,1)}
       190:{1,5,6}:{(173,1),(203,1),(205,1)}
       191:{1,4,6,7}:{(174,1),(175,1),(176,1),(206,1)}
       192:{3,5,7}:{(176,1),(177,1),(199,1),(206,1),(207,1)}
       193:{2,5,6}:{(177,1),(202,1),(207,1)}
       194:{1,2,3,5}:{(178,1),(179,1),(208,1),(209,1),(227,1),(230,1)}
       195:{1,2,4,5}:{(179,1),(180,1),(181,1),(185,1),(208,1),(209,1),(210,1),(211,1),(227,1)}
       196:{3,4,5}:{(180,1),(186,1),(209,1),(210,1)}
       197:{3,4,5}:{(181,1),(187,1),(209,1),(211,1)}
       198:{1,2,4,7}:{(182,1),(183,1),(184,1),(185,1),(212,1),(213,1),(214,1),(228,1)}
       199:{3,4,7}:{(183,1),(186,1),(192,1),(212,1),(213,1)}
       200:{3,4,7}:{(184,1),(187,1),(189,1),(212,1),(214,1)}
       201:{3,6}:{(185,1),(209,1),(212,1)}
       202:{2,4,6}:{(186,1),(193,1),(210,1),(213,1),(216,1)}
       203:{1,4,6}:{(187,1),(190,1),(211,1),(214,1),(215,1)}
       204:{3,6,7}:{(188,1),(189,1),(217,1)}
       205:{1,5,7}:{(189,1),(190,1),(214,1),(217,1)}
       206:{3,6,7}:{(191,1),(192,1),(218,1)}
       207:{2,5,7}:{(192,1),(193,1),(213,1),(218,1)}
       208:{1,2,4}:{(194,1),(219,1)}
       209:{3,5}:{(195,1),(201,1),(219,1)}
       210:{2,4,5}:{(196,1),(202,1),(221,1)}
       211:{1,4,5}:{(197,1),(203,1),(220,1)}
       212:{3,7}:{(198,1),(201,1)}
       213:{2,4,7}:{(199,1),(202,1),(207,1),(223,1)}
       214:{1,4,7}:{(200,1),(203,1),(205,1),(222,1)}
       215:{1,3,6}:{(201,1),(203,1),(220,1),(222,1),(224,1)}
       216:{2,3,6}:{(201,1),(202,1),(221,1),(223,1),(224,1)}
       217:{1,6,7}:{(204,1),(205,1)}
       218:{2,6,7}:{(206,1),(207,1)}
       219:{3,4}:{(208,1),(209,1)}
       220:{1,3,5}:{(209,1),(211,1),(215,1),(225,1),(227,1)}
       221:{2,3,5}:{(209,1),(210,1),(216,1),(226,1),(227,1)}
       222:{1,3,7}:{(212,1),(214,1),(215,1),(228,1)}
       223:{2,3,7}:{(212,1),(213,1),(216,1),(228,1)}
       224:{1,2,6}:{(215,1),(216,1),(227,1),(228,1)}
       225:{1,3,4}:{(219,1),(220,1),(229,1)}
       226:{2,3,4}:{(219,1),(221,1),(229,1)}
       227:{1,2,5}:{(220,1),(221,1),(224,1),(229,1)}
       228:{1,2,7}:{(222,1),(223,1),(224,1)}
       229:{1,2,4}:{(225,1),(226,1),(227,1),(230,1)}
       230:{1,2,3}:{(229,1)}

 487 :   0:{1,3,4,7}:{(2,1),(3,1),(4,1),(53,1),(69,1),(126,1),(225,1)}
         1:{2,3,4,7}:{(2,1),(5,1),(6,1),(53,1),(77,1),(126,1),(226,1)}
         2:{1,2,4,7}:{(0,1),(1,1),(7,1),(8,1),(9,1),(229,1)}
         3:{1,3,5,7}:{(0,1),(8,1),(10,1),(11,1),(12,1),(34,1),(220,1),(222,1)}
         4:{1,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(44,1),(82,1),(84,1),(92,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(13,1),(14,1),(15,1),(34,1),(221,1),(223,1)}
         6:{2,3,4,6}:{(1,1),(9,1),(14,1),(15,1),(51,1),(82,1),(84,1),(92,1)}
         7:{1,2,3,7}:{(2,1),(17,1),(126,1),(185,1),(230,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(5,1),(19,1),(20,1),(227,1),(228,1)}
         9:{1,2,4,6}:{(2,1),(4,1),(6,1),(17,1),(19,1),(20,1),(55,1)}
        10:{1,4,5,7}:{(3,1),(21,1),(22,1),(25,1),(67,1),(69,1),(211,1),(216,1)}
        11:{1,3,6}:{(3,1),(19,1),(22,1),(58,1)}
        12:{1,3,5}:{(4,1),(20,1),(25,1),(63,1),(116,1)}
        13:{2,4,5,7}:{(5,1),(26,1),(27,1),(30,1),(75,1),(77,1),(210,1),(215,1)}
        14:{2,3,6}:{(5,1),(19,1),(27,1),(58,1)}
        15:{2,3,5}:{(6,1),(20,1),(30,1),(63,1),(116,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(31,1),(32,1),(33,1),(34,1),(83,1),(85,1),(146,1),(194,1)}
        17:{1,2,3,6}:{(7,1),(9,1),(33,1),(92,1),(161,1)}
        18:{1,2,4,5,7}:{(8,1),(10,1),(13,1),(31,1),(34,1),(35,1),(38,1),(39,1),(46,1),(83,1),(85,1),(90,1),(91,1),(150,1),(158,1),(195,1),(198,1)}
        19:{1,2,6}:{(8,1),(11,1),(14,1)}
        20:{1,2,5}:{(9,1),(12,1),(15,1)}
        21:{3,4,5,7}:{(10,1),(34,1),(39,1),(40,1),(45,1),(97,1),(102,1),(150,1),(158,1),(197,1),(202,1)}
        22:{1,4,6}:{(10,1),(11,1),(40,1),(42,1)}
        23:{1,3,6,7}:{(11,1),(36,1),(41,1),(43,1),(88,1),(166,1),(222,1)}
        24:{1,3,5,6}:{(11,1),(12,1),(37,1),(42,1),(43,1),(44,1),(89,1),(92,1),(101,1)}
        25:{1,4,5}:{(12,1),(44,1),(45,1),(150,1)}
        26:{3,4,5,7}:{(13,1),(34,1),(46,1),(47,1),(52,1),(106,1),(111,1),(150,1),(158,1),(196,1),(200,1)}
        27:{2,4,6}:{(13,1),(14,1),(47,1),(49,1)}
        28:{2,3,6,7}:{(14,1),(36,1),(48,1),(50,1),(88,1),(172,1),(223,1)}
        29:{2,3,5,6}:{(14,1),(15,1),(37,1),(49,1),(50,1),(51,1),(89,1),(92,1),(110,1)}
        30:{2,4,5}:{(15,1),(51,1),(52,1),(150,1)}
        31:{1,2,4,7}:{(16,1),(53,1),(54,1),(55,1),(208,1)}
        32:{1,2,3,6}:{(16,1),(19,1),(54,1),(58,1),(119,1)}
        33:{1,2,3,5}:{(17,1),(20,1),(55,1),(63,1),(129,1),(178,1)}
        34:{3,5,7}:{(18,1),(53,1),(58,1),(63,1),(116,1),(126,1),(209,1),(212,1)}
        35:{1,2,4,6}:{(18,1),(19,1),(22,1),(27,1),(58,1),(60,1),(64,1),(72,1),(119,1),(125,1)}
        36:{1,2,6,7}:{(19,1),(23,1),(28,1),(61,1),(189,1),(193,1),(228,1)}
        37:{1,2,5,6}:{(19,1),(20,1),(24,1),(29,1),(61,1),(62,1),(136,1),(144,1)}
        38:{1,2,4,5}:{(20,1),(25,1),(30,1),(55,1),(62,1),(63,1),(71,1),(79,1),(129,1)}
        39:{2,4,5,7}:{(21,1),(57,1),(64,1),(71,1),(130,1),(137,1),(177,1),(183,1)}
        40:{3,4,6}:{(21,1),(22,1),(58,1),(64,1),(66,1),(125,1)}
        41:{1,4,6,7}:{(22,1),(23,1),(65,1),(67,1),(69,1),(216,1),(217,1)}
        42:{1,5,6}:{(22,1),(66,1),(67,1)}
        43:{1,3,5,7}:{(23,1),(24,1),(61,1),(67,1),(69,1),(124,1),(126,1),(135,1)}
        44:{1,4,6}:{(24,1),(25,1),(69,1),(70,1),(125,1)}
        45:{3,4,5}:{(25,1),(63,1),(70,1),(71,1)}
        46:{1,4,5,7}:{(26,1),(56,1),(72,1),(79,1),(138,1),(145,1),(176,1),(181,1)}
        47:{3,4,6}:{(26,1),(27,1),(58,1),(72,1),(74,1),(125,1)}
        48:{2,4,6,7}:{(27,1),(28,1),(73,1),(75,1),(77,1),(215,1),(218,1)}
        49:{2,5,6}:{(27,1),(74,1),(75,1)}
        50:{2,3,5,7}:{(28,1),(29,1),(61,1),(75,1),(77,1),(124,1),(126,1),(143,1)}
        51:{2,4,6}:{(29,1),(30,1),(77,1),(78,1),(125,1)}
        52:{3,4,5}:{(30,1),(63,1),(78,1),(79,1)}
        53:{3,4,7}:{(31,1),(34,1),(82,1),(84,1),(158,1),(219,1)}
        54:{1,2,4,6}:{(31,1),(32,1),(82,1),(83,1)}
        55:{1,2,4}:{(33,1),(84,1)}
        56:{1,3,5,7}:{(34,1),(46,1),(80,1),(85,1),(86,1),(93,1),(148,1),(159,1)}
        57:{2,3,5,7}:{(34,1),(39,1),(81,1),(85,1),(87,1),(94,1),(149,1),(160,1)}
        58:{3,6}:{(34,1),(35,1)}
        59:{1,2,4,6,7}:{(35,1),(36,1),(41,1),(48,1),(88,1),(90,1),(91,1),(95,1),(104,1),(152,1),(158,1),(198,1)}
        60:{1,2,5,6}:{(35,1),(42,1),(49,1),(83,1),(89,1),(90,1),(96,1),(105,1)}
        61:{1,2,5,7}:{(36,1),(37,1),(43,1),(50,1),(91,1),(167,1),(173,1)}
        62:{1,2,4,6}:{(37,1),(38,1),(44,1),(51,1),(91,1),(92,1),(103,1),(112,1),(161,1)}
        63:{3,5}:{(38,1),(84,1),(92,1)}
        64:{2,4,6}:{(39,1),(40,1),(87,1),(96,1)}
        65:{3,4,6,7}:{(40,1),(41,1),(88,1),(95,1),(97,1),(102,1),(158,1),(165,1),(166,1),(202,1),(204,1)}
        66:{3,5,6}:{(40,1),(42,1),(96,1),(97,1),(98,1)}
        67:{1,5,7}:{(41,1),(42,1),(97,1)}
        68:{1,4,5,6}:{(42,1),(44,1),(98,1),(100,1),(101,1)}
        69:{1,4,7}:{(43,1),(44,1),(102,1),(158,1)}
        70:{3,4,6}:{(44,1),(45,1),(92,1),(101,1),(102,1),(103,1)}
        71:{2,4,5}:{(45,1),(94,1),(103,1)}
        72:{1,4,6}:{(46,1),(47,1),(86,1),(105,1)}
        73:{3,4,6,7}:{(47,1),(48,1),(88,1),(104,1),(106,1),(111,1),(158,1),(171,1),(172,1),(200,1),(206,1)}
        74:{3,5,6}:{(47,1),(49,1),(105,1),(106,1),(107,1)}
        75:{2,5,7}:{(48,1),(49,1),(106,1)}
        76:{2,4,5,6}:{(49,1),(51,1),(107,1),(109,1),(110,1)}
        77:{2,4,7}:{(50,1),(51,1),(111,1),(158,1)}
        78:{3,4,6}:{(51,1),(52,1),(92,1),(110,1),(111,1),(112,1)}
        79:{1,4,5}:{(52,1),(93,1),(112,1)}
        80:{1,3,4,7}:{(53,1),(56,1),(113,1),(114,1),(117,1),(181,1),(212,1)}
        81:{2,3,4,7}:{(53,1),(57,1),(113,1),(115,1),(118,1),(183,1),(212,1)}
        82:{3,4,6}:{(53,1),(54,1),(58,1),(116,1),(125,1)}
        83:{1,2,5}:{(54,1),(116,1)}
        84:{3,4}:{(55,1),(63,1)}
        85:{1,2,5,7}:{(56,1),(57,1),(113,1),(119,1),(129,1),(175,1),(185,1)}
        86:{1,3,6}:{(56,1),(58,1),(72,1),(119,1)}
        87:{2,3,6}:{(57,1),(58,1),(64,1),(119,1)}
        88:{3,6,7}:{(58,1),(59,1),(124,1),(126,1),(212,1)}
        89:{3,5,6}:{(58,1),(60,1),(116,1),(124,1),(125,1)}
        90:{1,2,5,7}:{(59,1),(60,1),(67,1),(75,1),(124,1),(130,1),(138,1)}
        91:{1,2,4,7}:{(61,1),(62,1),(69,1),(77,1),(126,1),(137,1),(145,1),(185,1)}
        92:{3,6}:{(62,1),(63,1),(126,1)}
        93:{1,3,5}:{(63,1),(79,1),(117,1),(127,1),(129,1)}
        94:{2,3,5}:{(63,1),(71,1),(118,1),(128,1),(129,1)}
        95:{2,4,6,7}:{(64,1),(65,1),(122,1),(130,1),(137,1),(183,1),(189,1)}
        96:{2,5,6}:{(64,1),(66,1),(130,1)}
        97:{3,5,7}:{(65,1),(66,1),(67,1),(130,1),(133,1)}
        98:{4,5,6}:{(66,1),(125,1),(133,1)}
        99:{1,5,6,7}:{(67,1),(132,1),(134,1),(217,1)}
       100:{1,4,5,7}:{(67,1),(68,1),(69,1),(133,1),(134,1),(135,1)}
       101:{3,5,6}:{(68,1),(70,1),(135,1),(136,1)}
       102:{3,4,7}:{(69,1),(70,1),(126,1),(135,1),(137,1)}
       103:{2,4,6}:{(70,1),(71,1),(128,1),(136,1),(137,1)}
       104:{1,4,6,7}:{(72,1),(73,1),(120,1),(138,1),(145,1),(181,1),(193,1)}
       105:{1,5,6}:{(72,1),(74,1),(138,1)}
       106:{3,5,7}:{(73,1),(74,1),(75,1),(138,1),(141,1)}
       107:{4,5,6}:{(74,1),(125,1),(141,1)}
       108:{2,5,6,7}:{(75,1),(140,1),(142,1),(218,1)}
       109:{2,4,5,7}:{(75,1),(76,1),(77,1),(141,1),(142,1),(143,1)}
       110:{3,5,6}:{(76,1),(78,1),(143,1),(144,1)}
       111:{3,4,7}:{(77,1),(78,1),(126,1),(143,1),(145,1)}
       112:{1,4,6}:{(78,1),(79,1),(127,1),(144,1),(145,1)}
       113:{1,2,4,7}:{(80,1),(81,1),(85,1),(146,1),(147,1),(151,1)}
       114:{1,3,4,6}:{(80,1),(82,1),(86,1),(147,1),(148,1),(155,1),(199,1),(219,1)}
       115:{2,3,4,6}:{(81,1),(82,1),(87,1),(147,1),(149,1),(157,1),(199,1),(219,1)}
       116:{3,5}:{(82,1),(83,1),(150,1)}
       117:{1,3,4}:{(84,1),(93,1),(151,1)}
       118:{2,3,4}:{(84,1),(94,1),(151,1)}
       119:{1,2,6}:{(85,1),(86,1),(87,1)}
       120:{1,3,6,7}:{(86,1),(88,1),(104,1),(152,1),(154,1),(159,1),(206,1)}
       121:{1,3,5,6}:{(86,1),(89,1),(105,1),(148,1),(153,1),(154,1),(155,1),(170,1),(199,1)}
       122:{2,3,6,7}:{(87,1),(88,1),(95,1),(152,1),(156,1),(160,1),(204,1)}
       123:{2,3,5,6}:{(87,1),(89,1),(96,1),(149,1),(153,1),(156,1),(157,1),(164,1),(199,1)}
       124:{3,5,7}:{(88,1),(89,1),(90,1),(158,1)}
       125:{4,6}:{(89,1),(150,1),(158,1)}
       126:{3,7}:{(91,1),(92,1)}
       127:{1,3,6}:{(92,1),(93,1),(112,1),(159,1),(161,1)}
       128:{2,3,6}:{(92,1),(94,1),(103,1),(160,1),(161,1)}
       129:{1,2,5}:{(93,1),(94,1),(151,1),(161,1)}
       130:{2,5,7}:{(95,1),(96,1),(97,1)}
       131:{2,4,5,6}:{(96,1),(98,1),(157,1),(163,1),(164,1)}
       132:{3,5,6,7}:{(97,1),(99,1),(162,1),(165,1),(166,1),(204,1)}
       133:{4,5,7}:{(97,1),(98,1),(158,1),(165,1)}
       134:{1,4,6,7}:{(99,1),(100,1),(165,1),(166,1)}
       135:{3,5,7}:{(100,1),(101,1),(102,1),(166,1),(167,1)}
       136:{2,5,6}:{(101,1),(103,1),(167,1)}
       137:{2,4,7}:{(102,1),(103,1),(160,1),(167,1)}
       138:{1,5,7}:{(104,1),(105,1),(106,1)}
       139:{1,4,5,6}:{(105,1),(107,1),(155,1),(169,1),(170,1)}
       140:{3,5,6,7}:{(106,1),(108,1),(168,1),(171,1),(172,1),(206,1)}
       141:{4,5,7}:{(106,1),(107,1),(158,1),(171,1)}
       142:{2,4,6,7}:{(108,1),(109,1),(171,1),(172,1)}
       143:{3,5,7}:{(109,1),(110,1),(111,1),(172,1),(173,1)}
       144:{1,5,6}:{(110,1),(112,1),(173,1)}
       145:{1,4,7}:{(111,1),(112,1),(159,1),(173,1)}
       146:{1,2,3,7}:{(113,1),(174,1),(178,1),(212,1),(228,1)}
       147:{1,2,4,6}:{(113,1),(114,1),(115,1),(119,1),(174,1),(175,1),(208,1)}
       148:{1,3,5}:{(114,1),(116,1),(175,1),(176,1),(209,1)}
       149:{2,3,5}:{(115,1),(116,1),(175,1),(177,1),(209,1)}
       150:{4,5}:{(116,1),(125,1)}
       151:{1,2,4}:{(117,1),(118,1),(129,1),(178,1)}
       152:{1,2,6,7}:{(119,1),(120,1),(122,1),(179,1),(185,1),(217,1),(218,1)}
       153:{1,2,5,6}:{(119,1),(121,1),(123,1),(175,1),(179,1),(180,1),(188,1),(192,1)}
       154:{1,3,5,7}:{(120,1),(121,1),(124,1),(138,1),(179,1),(181,1),(191,1),(212,1)}
       155:{1,4,6}:{(121,1),(125,1),(176,1),(181,1),(182,1)}
       156:{2,3,5,7}:{(122,1),(123,1),(124,1),(130,1),(179,1),(183,1),(187,1),(212,1)}
       157:{2,4,6}:{(123,1),(125,1),(177,1),(183,1),(184,1)}
       158:{4,7}:{(124,1),(125,1)}
       159:{1,3,7}:{(126,1),(127,1),(145,1),(185,1)}
       160:{2,3,7}:{(126,1),(128,1),(137,1),(185,1)}
       161:{1,2,6}:{(127,1),(128,1),(129,1),(185,1)}
       162:{2,5,6,7}:{(130,1),(132,1),(186,1),(189,1)}
       163:{2,4,5,7}:{(130,1),(131,1),(133,1),(183,1),(186,1),(187,1)}
       164:{3,5,6}:{(131,1),(184,1),(187,1),(188,1)}
       165:{4,6,7}:{(132,1),(133,1)}
       166:{3,6,7}:{(134,1),(135,1),(189,1)}
       167:{2,5,7}:{(135,1),(136,1),(137,1),(189,1)}
       168:{1,5,6,7}:{(138,1),(140,1),(190,1),(193,1)}
       169:{1,4,5,7}:{(138,1),(139,1),(141,1),(181,1),(190,1),(191,1)}
       170:{3,5,6}:{(139,1),(182,1),(191,1),(192,1)}
       171:{4,6,7}:{(140,1),(141,1)}
       172:{3,6,7}:{(142,1),(143,1),(193,1)}
       173:{1,5,7}:{(143,1),(144,1),(145,1),(193,1)}
       174:{1,2,3,6}:{(146,1),(147,1),(194,1),(199,1),(224,1)}
       175:{1,2,5}:{(147,1),(148,1),(149,1)}
       176:{1,4,5}:{(148,1),(150,1),(155,1),(196,1)}
       177:{2,4,5}:{(149,1),(150,1),(157,1),(197,1)}
       178:{1,2,3}:{(151,1)}
       179:{1,2,5,7}:{(152,1),(153,1),(154,1),(156,1),(198,1),(205,1),(207,1)}
       180:{1,2,4,6}:{(153,1),(155,1),(157,1),(195,1),(198,1),(199,1),(201,1),(203,1),(224,1)}
       181:{1,4,7}:{(154,1),(155,1),(158,1),(200,1)}
       182:{3,4,6}:{(155,1),(170,1),(196,1),(199,1),(200,1),(201,1)}
       183:{2,4,7}:{(156,1),(157,1),(158,1),(202,1)}
       184:{3,4,6}:{(157,1),(164,1),(197,1),(199,1),(202,1),(203,1)}
       185:{1,2,7}:{(159,1),(160,1),(161,1)}
       186:{2,4,6,7}:{(162,1),(163,1),(165,1),(204,1)}
       187:{3,5,7}:{(163,1),(164,1),(202,1),(204,1),(205,1)}
       188:{1,5,6}:{(164,1),(203,1),(205,1)}
       189:{2,6,7}:{(166,1),(167,1)}
       190:{1,4,6,7}:{(168,1),(169,1),(171,1),(206,1)}
       191:{3,5,7}:{(169,1),(170,1),(200,1),(206,1),(207,1)}
       192:{2,5,6}:{(170,1),(201,1),(207,1)}
       193:{1,6,7}:{(172,1),(173,1)}
       194:{1,2,3,5}:{(174,1),(175,1),(208,1),(209,1),(227,1),(230,1)}
       195:{1,2,4,5}:{(175,1),(176,1),(177,1),(180,1),(208,1),(209,1),(210,1),(211,1),(227,1)}
       196:{3,4,5}:{(176,1),(182,1),(209,1),(210,1)}
       197:{3,4,5}:{(177,1),(184,1),(209,1),(211,1)}
       198:{1,2,4,7}:{(179,1),(180,1),(181,1),(183,1),(212,1),(215,1),(216,1),(228,1)}
       199:{3,6}:{(180,1),(209,1),(212,1)}
       200:{3,4,7}:{(181,1),(182,1),(191,1),(212,1),(215,1)}
       201:{2,4,6}:{(182,1),(192,1),(210,1),(214,1),(215,1)}
       202:{3,4,7}:{(183,1),(184,1),(187,1),(212,1),(216,1)}
       203:{1,4,6}:{(184,1),(188,1),(211,1),(213,1),(216,1)}
       204:{3,6,7}:{(186,1),(187,1),(217,1)}
       205:{1,5,7}:{(187,1),(188,1),(216,1),(217,1)}
       206:{3,6,7}:{(190,1),(191,1),(218,1)}
       207:{2,5,7}:{(191,1),(192,1),(215,1),(218,1)}
       208:{1,2,4}:{(194,1),(219,1)}
       209:{3,5}:{(195,1),(199,1),(219,1)}
       210:{2,4,5}:{(196,1),(201,1),(221,1)}
       211:{1,4,5}:{(197,1),(203,1),(220,1)}
       212:{3,7}:{(198,1),(199,1)}
       213:{1,3,6}:{(199,1),(203,1),(220,1),(222,1),(224,1)}
       214:{2,3,6}:{(199,1),(201,1),(221,1),(223,1),(224,1)}
       215:{2,4,7}:{(200,1),(201,1),(207,1),(223,1)}
       216:{1,4,7}:{(202,1),(203,1),(205,1),(222,1)}
       217:{1,6,7}:{(204,1),(205,1)}
       218:{2,6,7}:{(206,1),(207,1)}
       219:{3,4}:{(208,1),(209,1)}
       220:{1,3,5}:{(209,1),(211,1),(213,1),(225,1),(227,1)}
       221:{2,3,5}:{(209,1),(210,1),(214,1),(226,1),(227,1)}
       222:{1,3,7}:{(212,1),(213,1),(216,1),(228,1)}
       223:{2,3,7}:{(212,1),(214,1),(215,1),(228,1)}
       224:{1,2,6}:{(213,1),(214,1),(227,1),(228,1)}
       225:{1,3,4}:{(219,1),(220,1),(229,1)}
       226:{2,3,4}:{(219,1),(221,1),(229,1)}
       227:{1,2,5}:{(220,1),(221,1),(224,1),(229,1)}
       228:{1,2,7}:{(222,1),(223,1),(224,1)}
       229:{1,2,4}:{(225,1),(226,1),(227,1),(230,1)}
       230:{1,2,3}:{(229,1)}

 488 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(70,1),(71,1),(78,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(14,1),(35,1),(36,1),(41,1),(44,1),(46,1),(78,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(24,1),(82,1),(83,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(52,1),(53,1),(62,1),(64,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(49,1),(50,1)}
         5:{3,4,6,7}:{(2,1),(11,1),(15,1),(37,1),(41,1)}
         6:{1,2,5,7}:{(2,1),(11,1),(12,1),(94,1),(95,1)}
         7:{1,2,4,5}:{(4,1),(14,1),(39,1),(40,1),(44,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(15,1),(67,1),(68,1)}
         9:{3,4,6}:{(4,1),(14,1),(15,1),(41,1)}
        10:{1,2,4,5,6}:{(7,1),(19,1),(20,1),(24,1),(49,1),(50,1),(54,1),(55,1),(87,1),(88,1)}
        11:{3,5,7}:{(5,1),(6,1),(21,1),(22,1)}
        12:{1,2,5,6}:{(6,1),(21,1),(24,1),(87,1),(88,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(22,1),(24,1),(25,1),(57,1),(58,1),(62,1)}
        14:{3,5}:{(7,1),(9,1)}
        15:{3,4,7}:{(8,1),(9,1),(25,1)}
        16:{1,3,4,6}:{(9,1),(26,1),(28,1),(30,1),(49,1),(60,1),(85,1),(91,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(29,1),(30,1),(50,1),(61,1),(85,1),(91,1),(105,1)}
        18:{1,2,5,6,7}:{(12,1),(31,1),(33,1),(94,1),(95,1)}
        19:{1,2,4,5,7}:{(10,1),(33,1),(34,1),(65,1),(67,1),(68,1),(72,1),(94,1),(95,1)}
        20:{3,5,6}:{(10,1),(14,1),(32,1),(34,1),(41,1)}
        21:{3,5,6}:{(11,1),(12,1),(37,1),(41,1)}
        22:{4,5,7}:{(11,1),(37,1)}
        23:{3,4,5}:{(14,1),(32,1),(39,1),(40,1),(77,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(37,1),(41,1),(74,1),(75,1),(78,1)}
        25:{3,5,7}:{(13,1),(14,1),(15,1),(41,1)}
        26:{1,3,5}:{(14,1),(16,1),(39,1),(44,1),(77,1),(109,1)}
        27:{2,3,5}:{(14,1),(17,1),(40,1),(44,1),(77,1),(109,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(42,1),(45,1),(67,1),(97,1),(100,1)}
        29:{2,3,4,7}:{(15,1),(17,1),(43,1),(45,1),(68,1),(97,1),(100,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(44,1),(45,1),(46,1),(78,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(47,1),(51,1),(81,1)}
        32:{3,4,6}:{(20,1),(23,1),(48,1),(49,1),(50,1),(85,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(24,1),(47,1),(51,1),(82,1),(83,1),(86,1)}
        34:{3,5,7}:{(19,1),(20,1),(48,1),(51,1)}
        35:{1,3,5,6}:{(20,1),(26,1),(49,1),(52,1),(54,1),(60,1),(85,1),(87,1),(104,1)}
        36:{2,3,5,6}:{(20,1),(27,1),(50,1),(53,1),(54,1),(61,1),(85,1),(88,1),(104,1)}
        37:{4,6}:{(21,1),(22,1)}
        38:{3,4,5,7}:{(22,1),(23,1),(25,1),(48,1),(56,1),(57,1),(58,1),(81,1),(90,1),(110,1),(111,1)}
        39:{1,4,5}:{(23,1),(26,1),(49,1),(111,1)}
        40:{2,4,5}:{(23,1),(27,1),(50,1),(111,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(28,1),(57,1),(60,1),(62,1),(90,1)}
        43:{2,3,5,7}:{(25,1),(27,1),(29,1),(58,1),(61,1),(62,1),(90,1)}
        44:{1,2,5}:{(26,1),(27,1),(30,1)}
        45:{1,2,4,7}:{(28,1),(29,1),(30,1),(62,1),(64,1)}
        46:{1,2,3,6}:{(30,1),(63,1),(64,1),(85,1)}
        47:{4,6,7}:{(31,1),(37,1),(65,1)}
        48:{3,4,7}:{(32,1),(34,1),(67,1),(68,1),(97,1)}
        49:{1,4,6}:{(32,1),(35,1),(39,1),(67,1),(108,1)}
        50:{2,4,6}:{(32,1),(36,1),(40,1),(68,1),(108,1)}
        51:{3,6,7}:{(33,1),(34,1),(41,1)}
        52:{1,3,5,7}:{(34,1),(35,1),(67,1),(70,1),(72,1),(94,1),(97,1),(107,1)}
        53:{2,3,5,7}:{(34,1),(36,1),(68,1),(71,1),(72,1),(95,1),(97,1),(107,1)}
        54:{1,2,5,6}:{(35,1),(36,1),(44,1),(69,1),(72,1),(78,1)}
        55:{4,5,6}:{(37,1),(65,1),(73,1),(108,1)}
        56:{3,4,6}:{(37,1),(38,1),(41,1),(73,1),(74,1),(75,1),(99,1),(108,1)}
        57:{1,4,5,7}:{(38,1),(39,1),(42,1),(67,1),(74,1),(94,1)}
        58:{2,4,5,7}:{(38,1),(40,1),(43,1),(68,1),(75,1),(95,1)}
        59:{1,2,4,5}:{(39,1),(40,1),(44,1),(69,1),(77,1),(80,1)}
        60:{1,3,6}:{(41,1),(42,1),(74,1),(78,1),(99,1)}
        61:{2,3,6}:{(41,1),(43,1),(75,1),(78,1),(99,1)}
        62:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(78,1)}
        63:{1,2,3,5}:{(44,1),(46,1),(77,1),(80,1)}
        64:{1,2,3,7}:{(45,1),(46,1),(97,1)}
        65:{4,5,7}:{(47,1),(55,1),(81,1),(110,1)}
        66:{3,4,6,7}:{(47,1),(48,1),(51,1),(56,1),(81,1),(82,1),(83,1),(103,1),(110,1)}
        67:{1,4,7}:{(48,1),(49,1),(52,1),(110,1)}
        68:{2,4,7}:{(48,1),(50,1),(53,1),(110,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(54,1),(59,1),(84,1),(85,1)}
        70:{1,3,6,7}:{(51,1),(52,1),(60,1),(82,1),(86,1),(103,1)}
        71:{2,3,6,7}:{(51,1),(53,1),(61,1),(83,1),(86,1),(103,1)}
        72:{1,2,5,7}:{(52,1),(53,1),(54,1),(84,1),(86,1)}
        73:{3,5,6}:{(55,1),(56,1),(81,1),(87,1),(88,1)}
        74:{1,4,6}:{(56,1),(57,1),(60,1),(87,1)}
        75:{2,4,6}:{(56,1),(58,1),(61,1),(88,1)}
        76:{1,2,4,5,7}:{(57,1),(58,1),(59,1),(62,1),(84,1),(89,1),(90,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        77:{3,5}:{(59,1),(85,1),(91,1)}
        78:{1,2,6}:{(60,1),(61,1),(62,1)}
        79:{1,2,3,5,7}:{(62,1),(63,1),(64,1),(90,1),(92,1),(93,1),(106,1)}
        80:{1,2,4}:{(63,1),(91,1)}
        81:{3,5,7}:{(65,1),(66,1),(73,1),(94,1),(95,1)}
        82:{1,4,6,7}:{(66,1),(67,1),(70,1),(74,1),(94,1)}
        83:{2,4,6,7}:{(66,1),(68,1),(71,1),(75,1),(95,1)}
        84:{1,2,4,7}:{(67,1),(68,1),(69,1),(72,1),(97,1)}
        85:{3,6}:{(69,1),(77,1),(97,1)}
        86:{1,2,6,7}:{(70,1),(71,1),(72,1),(78,1)}
        87:{1,5,6}:{(73,1),(74,1),(94,1)}
        88:{2,5,6}:{(73,1),(75,1),(95,1)}
        89:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(98,1),(99,1),(108,1)}
        90:{3,5,7}:{(76,1),(77,1),(97,1),(99,1),(100,1),(109,1)}
        91:{3,4}:{(77,1),(80,1)}
        92:{1,2,3,6}:{(78,1),(79,1),(99,1),(101,1)}
        93:{1,2,4,7}:{(79,1),(80,1),(100,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(87,1)}
        95:{2,5,7}:{(81,1),(83,1),(88,1)}
        96:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(86,1),(89,1),(102,1),(103,1),(110,1)}
        97:{3,7}:{(84,1),(85,1)}
        98:{1,2,5,6}:{(87,1),(88,1),(89,1),(102,1),(104,1),(106,1)}
        99:{3,6}:{(89,1),(90,1)}
       100:{3,4,7}:{(90,1),(91,1),(93,1),(105,1),(110,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(98,1),(107,1)}
       103:{3,6,7}:{(96,1),(97,1),(99,1),(107,1)}
       104:{3,5,6}:{(98,1),(99,1),(107,1),(108,1),(109,1)}
       105:{3,4,6}:{(99,1),(100,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(104,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

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

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

 491 :  0:{1,2,6,7}:{(3,1),(5,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(38,1),(39,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(17,1),(20,1),(21,1),(25,1),(38,1),(39,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{3,5,6}:{(1,1),(9,1),(10,1),(13,1),(26,1),(28,1),(45,1)}
        5:{1,2,5,7}:{(0,1),(1,1),(9,1),(12,1),(46,1),(47,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(30,1),(31,1),(35,1)}
        7:{3,5}:{(2,1),(11,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(18,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(18,1),(22,1)}
       10:{4,6}:{(4,1),(17,1),(18,1)}
       11:{3,4}:{(7,1),(20,1),(21,1),(43,1)}
       12:{1,2,4,7}:{(5,1),(6,1),(18,1),(22,1),(40,1),(41,1),(44,1)}
       13:{3,6}:{(6,1),(7,1),(22,1)}
       14:{1,3,5}:{(7,1),(20,1),(23,1),(25,1),(38,1),(43,1),(54,1)}
       15:{2,3,5}:{(7,1),(21,1),(24,1),(25,1),(39,1),(43,1),(54,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,5}:{(10,1),(28,1),(58,1)}
       18:{4,7}:{(9,1),(10,1)}
       19:{3,4,6}:{(10,1),(11,1),(13,1),(28,1),(29,1),(30,1),(31,1),(45,1),(50,1),(58,1),(61,1)}
       20:{1,4}:{(11,1),(14,1),(58,1)}
       21:{2,4}:{(11,1),(15,1),(58,1)}
       22:{3,7}:{(12,1),(13,1)}
       23:{1,3,6}:{(13,1),(14,1),(30,1),(33,1),(35,1),(50,1)}
       24:{2,3,6}:{(13,1),(15,1),(31,1),(34,1),(35,1),(50,1)}
       25:{1,2,5}:{(14,1),(15,1),(32,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(18,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,5}:{(17,1),(19,1),(38,1),(39,1),(62,1)}
       29:{3,4,7}:{(18,1),(19,1),(22,1),(37,1),(40,1),(41,1),(55,1),(60,1)}
       30:{1,4,6}:{(19,1),(20,1),(23,1),(38,1),(40,1),(51,1)}
       31:{2,4,6}:{(19,1),(21,1),(24,1),(39,1),(41,1),(52,1)}
       32:{1,2,4}:{(20,1),(21,1),(25,1),(43,1)}
       33:{1,3,7}:{(22,1),(23,1),(40,1),(44,1),(55,1)}
       34:{2,3,7}:{(22,1),(24,1),(41,1),(44,1),(55,1)}
       35:{1,2,6}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(45,1),(46,1),(47,1)}
       38:{1,5}:{(28,1),(30,1)}
       39:{2,5}:{(28,1),(31,1)}
       40:{1,4,7}:{(29,1),(30,1),(33,1),(46,1)}
       41:{2,4,7}:{(29,1),(31,1),(34,1),(47,1)}
       42:{1,2,4,6}:{(30,1),(31,1),(32,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       43:{3}:{(32,1)}
       44:{1,2,7}:{(33,1),(34,1),(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(40,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(41,1),(52,1)}
       48:{1,2,5}:{(38,1),(39,1),(42,1),(54,1),(62,1)}
       49:{1,2,4,7}:{(40,1),(41,1),(42,1),(44,1),(53,1),(55,1),(60,1)}
       50:{3,6}:{(42,1),(43,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,5}:{(48,1),(50,1),(58,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(54,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 492 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(13,1),(14,1),(35,1),(36,1),(37,1),(41,1),(65,1),(66,1),(68,1),(71,1),(99,1),(100,1)}
         1:{3,5,7}:{(0,1),(3,1),(7,1),(22,1),(85,1),(88,1)}
         2:{1,2,4,6}:{(0,1),(7,1),(8,1),(20,1),(21,1),(26,1),(29,1),(78,1),(79,1),(109,1),(110,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(11,1),(33,1),(41,1),(101,1)}
         4:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(30,1),(31,1),(38,1),(41,1),(71,1),(134,1)}
         5:{1,3,5,7}:{(1,1),(9,1),(14,1),(15,1),(33,1),(35,1),(67,1),(100,1),(102,1),(104,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(14,1),(16,1),(33,1),(36,1),(67,1),(99,1),(103,1),(105,1)}
         7:{3,6}:{(1,1),(2,1)}
         8:{1,2,5,6}:{(2,1),(13,1),(17,1),(35,1),(36,1),(60,1),(61,1)}
         9:{1,4,7}:{(3,1),(5,1),(20,1),(84,1),(114,1)}
        10:{2,4,7}:{(3,1),(6,1),(21,1),(84,1),(115,1)}
        11:{3,4,6}:{(3,1),(7,1),(20,1),(21,1),(22,1),(29,1),(50,1),(84,1)}
        12:{3,6,7}:{(4,1),(7,1),(25,1),(88,1),(137,1)}
        13:{1,2,5,7}:{(4,1),(8,1),(25,1),(47,1),(48,1),(136,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(19,1),(26,1),(51,1),(116,1),(117,1)}
        15:{1,3,6}:{(5,1),(7,1),(20,1),(26,1),(50,1),(110,1)}
        16:{2,3,6}:{(6,1),(7,1),(21,1),(26,1),(50,1),(109,1)}
        17:{3,5,6}:{(7,1),(8,1),(22,1),(25,1),(29,1)}
        18:{3,4,6,7}:{(11,1),(12,1),(30,1),(31,1),(32,1),(41,1),(62,1),(63,1),(72,1),(73,1),(95,1),(96,1),(97,1),(119,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(14,1),(33,1),(34,1),(125,1)}
        20:{1,4,6}:{(9,1),(11,1),(15,1),(35,1)}
        21:{2,4,6}:{(10,1),(11,1),(16,1),(36,1)}
        22:{3,5}:{(11,1),(35,1),(36,1),(37,1)}
        23:{1,3,6,7}:{(12,1),(15,1),(30,1),(38,1),(39,1),(63,1),(95,1),(104,1),(120,1)}
        24:{2,3,6,7}:{(12,1),(16,1),(31,1),(38,1),(40,1),(63,1),(96,1),(105,1),(121,1)}
        25:{3,5,7}:{(12,1),(13,1),(17,1),(41,1),(138,1)}
        26:{1,2,6}:{(14,1),(15,1),(16,1)}
        27:{1,3,5,6}:{(15,1),(17,1),(35,1),(39,1),(42,1),(43,1),(60,1),(67,1),(69,1),(74,1),(93,1),(95,1),(102,1),(120,1),(132,1),(138,1)}
        28:{2,3,5,6}:{(16,1),(17,1),(36,1),(40,1),(42,1),(44,1),(61,1),(67,1),(70,1),(74,1),(93,1),(96,1),(103,1),(121,1),(133,1),(138,1)}
        29:{4,6}:{(17,1),(37,1),(41,1)}
        30:{1,4,6,7}:{(18,1),(20,1),(23,1),(47,1),(55,1),(78,1),(90,1),(110,1),(127,1)}
        31:{2,4,6,7}:{(18,1),(21,1),(24,1),(48,1),(56,1),(79,1),(89,1),(109,1),(128,1)}
        32:{3,5,7}:{(18,1),(22,1),(45,1),(47,1),(48,1),(49,1),(126,1)}
        33:{3,7}:{(19,1),(50,1),(131,1)}
        34:{1,2,4,6}:{(19,1),(20,1),(21,1),(26,1),(50,1),(51,1),(84,1)}
        35:{1,5}:{(20,1),(22,1)}
        36:{2,5}:{(21,1),(22,1)}
        37:{4,5}:{(22,1),(29,1),(84,1)}
        38:{1,2,6,7}:{(23,1),(24,1),(26,1),(54,1),(109,1),(110,1),(117,1),(129,1)}
        39:{1,3,5,7}:{(23,1),(25,1),(27,1),(47,1),(54,1),(55,1),(80,1),(82,1),(88,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(28,1),(48,1),(54,1),(56,1),(80,1),(83,1),(88,1)}
        41:{4,7}:{(25,1),(29,1),(139,1)}
        42:{1,2,5,6}:{(26,1),(27,1),(28,1),(51,1),(54,1),(57,1),(86,1),(87,1),(109,1),(110,1),(116,1),(129,1),(136,1)}
        43:{1,4,6}:{(27,1),(29,1),(52,1),(55,1),(58,1),(84,1),(107,1),(114,1),(139,1)}
        44:{2,4,6}:{(28,1),(29,1),(53,1),(56,1),(59,1),(84,1),(107,1),(115,1),(139,1)}
        45:{3,5,6}:{(32,1),(60,1),(61,1),(62,1),(95,1),(96,1)}
        46:{1,2,4,6,7}:{(30,1),(31,1),(34,1),(38,1),(63,1),(64,1),(71,1),(94,1),(97,1)}
        47:{1,5,7}:{(30,1),(32,1),(35,1),(60,1),(132,1)}
        48:{2,5,7}:{(31,1),(32,1),(36,1),(61,1),(133,1)}
        49:{4,5,7}:{(32,1),(37,1),(41,1),(62,1),(97,1),(118,1)}
        50:{3,6}:{(33,1),(34,1),(67,1)}
        51:{1,2,5}:{(34,1),(35,1),(36,1),(67,1)}
        52:{1,4,5}:{(35,1),(37,1),(43,1),(69,1),(118,1),(132,1)}
        53:{2,4,5}:{(36,1),(37,1),(44,1),(70,1),(118,1),(133,1)}
        54:{1,2,5,7}:{(38,1),(39,1),(40,1),(42,1),(71,1),(99,1),(100,1)}
        55:{1,4,7}:{(39,1),(41,1),(43,1),(72,1),(97,1)}
        56:{2,4,7}:{(40,1),(41,1),(44,1),(73,1),(97,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(44,1),(68,1),(71,1),(74,1),(75,1),(76,1),(106,1),(125,1)}
        58:{3,4,6}:{(43,1),(69,1),(72,1),(74,1),(75,1),(95,1),(101,1)}
        59:{3,4,6}:{(44,1),(70,1),(73,1),(74,1),(76,1),(96,1),(101,1)}
        60:{1,5,6}:{(45,1),(47,1),(78,1),(110,1)}
        61:{2,5,6}:{(45,1),(48,1),(79,1),(109,1)}
        62:{4,6}:{(45,1),(49,1)}
        63:{3,6,7}:{(46,1),(50,1),(80,1),(88,1),(108,1)}
        64:{1,2,5,7}:{(46,1),(47,1),(48,1),(51,1),(77,1),(80,1)}
        65:{1,4,5,7}:{(47,1),(49,1),(52,1),(55,1),(78,1),(82,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(53,1),(56,1),(79,1),(83,1)}
        67:{3,5}:{(50,1),(51,1),(84,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(53,1),(57,1),(84,1),(85,1),(86,1),(87,1),(114,1),(115,1),(116,1),(136,1),(139,1)}
        69:{3,5}:{(52,1),(58,1),(86,1)}
        70:{3,5}:{(53,1),(59,1),(87,1)}
        71:{1,2,4,7}:{(54,1),(55,1),(56,1),(57,1),(88,1),(89,1),(90,1),(117,1)}
        72:{3,4,7}:{(55,1),(58,1),(82,1),(88,1),(89,1)}
        73:{3,4,7}:{(56,1),(59,1),(83,1),(88,1),(90,1)}
        74:{3,6}:{(57,1),(85,1),(88,1),(131,1)}
        75:{2,4,6}:{(58,1),(86,1),(89,1),(92,1),(109,1),(115,1)}
        76:{1,4,6}:{(59,1),(87,1),(90,1),(91,1),(110,1),(114,1)}
        77:{1,2,5,6}:{(60,1),(61,1),(64,1),(93,1),(94,1),(132,1),(133,1)}
        78:{1,4,6}:{(60,1),(62,1),(65,1),(95,1)}
        79:{2,4,6}:{(61,1),(62,1),(66,1),(96,1)}
        80:{3,5,7}:{(63,1),(64,1),(67,1),(93,1),(97,1)}
        81:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(68,1),(71,1),(94,1),(97,1),(98,1),(99,1),(100,1),(118,1),(122,1),(123,1),(124,1),(132,1),(133,1)}
        82:{3,5,7}:{(65,1),(69,1),(72,1),(95,1),(99,1)}
        83:{3,5,7}:{(66,1),(70,1),(73,1),(96,1),(100,1)}
        84:{4}:{(67,1)}
        85:{3,5}:{(68,1),(74,1),(101,1)}
        86:{2,5}:{(69,1),(75,1)}
        87:{1,5}:{(70,1),(76,1)}
        88:{3,7}:{(71,1),(74,1)}
        89:{2,4,7}:{(72,1),(75,1),(99,1),(105,1)}
        90:{1,4,7}:{(73,1),(76,1),(100,1),(104,1)}
        91:{1,3,6}:{(74,1),(76,1),(102,1),(104,1),(106,1)}
        92:{2,3,6}:{(74,1),(75,1),(103,1),(105,1),(106,1)}
        93:{3,5,6}:{(77,1),(80,1),(107,1),(108,1),(126,1)}
        94:{1,2,4,6}:{(77,1),(78,1),(79,1),(81,1),(107,1),(108,1),(109,1),(110,1),(127,1),(128,1),(129,1)}
        95:{3,6}:{(78,1),(82,1),(109,1)}
        96:{3,6}:{(79,1),(83,1),(110,1)}
        97:{4,7}:{(80,1),(84,1),(107,1)}
        98:{3,5,7}:{(81,1),(85,1),(88,1),(108,1),(111,1),(126,1)}
        99:{2,5,7}:{(82,1),(86,1),(89,1),(109,1)}
       100:{1,5,7}:{(83,1),(87,1),(90,1),(110,1)}
       101:{3,4}:{(84,1),(85,1),(114,1),(115,1),(131,1),(139,1)}
       102:{1,3,5}:{(85,1),(87,1),(91,1),(114,1),(116,1),(131,1)}
       103:{2,3,5}:{(85,1),(86,1),(92,1),(115,1),(116,1),(131,1)}
       104:{1,3,7}:{(88,1),(90,1),(91,1),(117,1)}
       105:{2,3,7}:{(88,1),(89,1),(92,1),(117,1)}
       106:{1,2,6}:{(91,1),(92,1),(116,1),(117,1)}
       107:{4,6}:{(93,1),(97,1),(118,1)}
       108:{3,6}:{(94,1),(98,1)}
       109:{2,6}:{(95,1),(99,1)}
       110:{1,6}:{(96,1),(100,1)}
       111:{3,4,7}:{(97,1),(98,1),(101,1),(119,1),(122,1),(123,1),(135,1)}
       112:{1,3,5,7}:{(98,1),(100,1),(102,1),(104,1),(120,1),(122,1),(124,1),(132,1),(135,1),(138,1)}
       113:{2,3,5,7}:{(98,1),(99,1),(103,1),(105,1),(121,1),(123,1),(124,1),(133,1),(135,1),(138,1)}
       114:{1,4}:{(101,1),(102,1)}
       115:{2,4}:{(101,1),(103,1)}
       116:{1,2,5}:{(102,1),(103,1),(106,1),(125,1)}
       117:{1,2,7}:{(104,1),(105,1),(106,1)}
       118:{4,5}:{(107,1),(126,1),(139,1)}
       119:{3,4,6}:{(107,1),(108,1),(111,1),(126,1),(127,1),(128,1),(137,1),(139,1)}
       120:{1,3,6}:{(108,1),(110,1),(112,1),(127,1),(129,1),(137,1)}
       121:{2,3,6}:{(108,1),(109,1),(113,1),(128,1),(129,1),(137,1)}
       122:{1,4,7}:{(111,1),(112,1),(114,1),(127,1),(139,1)}
       123:{2,4,7}:{(111,1),(113,1),(115,1),(128,1),(139,1)}
       124:{1,2,5,7}:{(112,1),(113,1),(116,1),(117,1),(129,1),(130,1),(136,1)}
       125:{1,2,4}:{(114,1),(115,1),(116,1),(131,1)}
       126:{3,5}:{(118,1),(119,1),(132,1),(133,1)}
       127:{1,4,6}:{(119,1),(120,1),(122,1),(132,1)}
       128:{2,4,6}:{(119,1),(121,1),(123,1),(133,1)}
       129:{1,2,6}:{(120,1),(121,1),(124,1)}
       130:{1,2,4,7}:{(122,1),(123,1),(124,1),(125,1),(134,1),(135,1)}
       131:{3}:{(125,1)}
       132:{1,5}:{(126,1),(127,1)}
       133:{2,5}:{(126,1),(128,1)}
       134:{1,2,4,6}:{(127,1),(128,1),(129,1),(130,1),(136,1),(137,1),(139,1)}
       135:{3,7}:{(130,1),(131,1),(137,1)}
       136:{1,2,5}:{(132,1),(133,1),(134,1),(138,1)}
       137:{3,6}:{(134,1),(135,1),(138,1)}
       138:{3,5}:{(136,1),(137,1),(139,1)}
       139:{4}:{(138,1)}

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

 494 :   0:{1,4,5,6}:{(2,1),(3,1),(20,1),(78,1),(80,1)}
         1:{1,3,4,6}:{(5,1),(6,1),(7,1),(20,1),(35,1),(62,1),(75,1),(111,1),(127,1)}
         2:{3,5,6}:{(0,1),(8,1),(10,1),(11,1)}
         3:{1,4,5,7}:{(0,1),(11,1),(12,1),(40,1),(92,1),(94,1)}
         4:{3,4,5}:{(8,1),(13,1),(14,1),(50,1)}
         5:{1,3,5}:{(1,1),(13,1),(16,1),(50,1),(134,1),(150,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(19,1),(55,1),(57,1),(107,1)}
         7:{1,3,4,7}:{(1,1),(17,1),(19,1),(40,1),(90,1),(103,1),(135,1),(197,1)}
         8:{3,4,6}:{(2,1),(4,1),(20,1),(21,1),(22,1),(62,1)}
         9:{1,3,5,6}:{(2,1),(5,1),(20,1),(23,1),(24,1),(35,1),(62,1),(78,1),(128,1)}
        10:{2,5,6}:{(2,1),(21,1),(25,1)}
        11:{3,5,7}:{(2,1),(3,1),(22,1),(25,1),(26,1)}
        12:{1,4,6,7}:{(3,1),(26,1),(27,1),(71,1)}
        13:{1,4,5}:{(4,1),(5,1),(20,1),(170,1)}
        14:{2,4,5}:{(4,1),(21,1),(28,1)}
        15:{3,4,5,7}:{(4,1),(22,1),(30,1),(31,1),(32,1),(66,1),(76,1),(155,1),(160,1),(163,1),(170,1)}
        16:{1,2,5}:{(5,1),(6,1),(33,1),(130,1)}
        17:{1,3,5,7}:{(5,1),(7,1),(30,1),(34,1),(35,1),(76,1),(156,1),(186,1),(191,1)}
        18:{2,3,6}:{(6,1),(33,1),(36,1),(62,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(34,1),(36,1),(81,1),(205,1)}
        20:{1,4,6}:{(8,1),(9,1),(13,1),(40,1),(151,1)}
        21:{2,4,6}:{(8,1),(10,1),(14,1),(38,1),(41,1)}
        22:{3,4,7}:{(8,1),(11,1),(40,1),(41,1),(90,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(16,1),(39,1),(43,1),(44,1),(57,1),(134,1),(174,1)}
        24:{1,3,5,7}:{(9,1),(11,1),(40,1),(44,1),(45,1),(90,1),(92,1),(141,1)}
        25:{2,5,7}:{(10,1),(11,1),(41,1),(46,1)}
        26:{3,6,7}:{(11,1),(12,1),(46,1)}
        27:{1,5,6,7}:{(12,1),(47,1),(92,1),(145,1)}
        28:{2,3,5}:{(14,1),(37,1),(38,1),(48,1),(50,1)}
        29:{1,2,4,5}:{(13,1),(14,1),(16,1),(39,1),(48,1),(50,1),(55,1),(95,1),(99,1),(134,1)}
        30:{1,4,5,7}:{(13,1),(15,1),(17,1),(40,1),(52,1),(92,1),(173,1),(178,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(41,1),(49,1),(53,1),(93,1),(133,1),(138,1)}
        32:{3,4,6}:{(15,1),(52,1),(53,1),(54,1),(104,1),(151,1)}
        33:{2,3,5}:{(16,1),(18,1),(50,1),(55,1)}
        34:{1,2,5,7}:{(16,1),(17,1),(19,1),(56,1),(57,1),(199,1),(203,1)}
        35:{1,3,6}:{(17,1),(52,1),(57,1),(104,1),(174,1)}
        36:{2,3,7}:{(18,1),(19,1),(90,1),(208,1)}
        37:{2,3,4}:{(28,1),(58,1),(75,1)}
        38:{2,3,6}:{(21,1),(28,1),(60,1),(61,1),(62,1)}
        39:{1,2,4,6}:{(20,1),(21,1),(23,1),(29,1),(60,1),(62,1),(63,1),(67,1),(111,1)}
        40:{1,4,7}:{(20,1),(22,1),(24,1),(163,1)}
        41:{2,4,7}:{(21,1),(22,1),(25,1),(61,1)}
        42:{3,4,6,7}:{(22,1),(26,1),(32,1),(64,1),(65,1),(66,1),(71,1),(117,1),(122,1),(160,1),(163,1)}
        43:{2,3,5,6}:{(23,1),(33,1),(62,1),(67,1),(68,1),(82,1),(115,1),(128,1),(130,1),(161,1),(165,1)}
        44:{1,2,5,7}:{(23,1),(24,1),(25,1),(63,1),(68,1),(69,1),(156,1)}
        45:{1,3,6,7}:{(24,1),(26,1),(35,1),(64,1),(69,1),(117,1),(191,1)}
        46:{2,6,7}:{(25,1),(26,1)}
        47:{3,5,6,7}:{(26,1),(27,1),(66,1),(70,1),(71,1),(122,1)}
        48:{1,2,5}:{(28,1),(58,1),(60,1),(72,1)}
        49:{2,3,5,7}:{(28,1),(31,1),(59,1),(61,1),(73,1),(74,1),(76,1),(110,1),(207,1)}
        50:{3,5}:{(29,1),(62,1),(75,1)}
        51:{1,2,4,5,7}:{(29,1),(30,1),(31,1),(34,1),(63,1),(73,1),(76,1),(77,1),(81,1),(118,1),(120,1),(123,1),(130,1),(154,1),(156,1),(159,1),(163,1),(166,1),(170,1),(189,1),(207,1)}
        52:{1,4,6}:{(30,1),(32,1),(35,1),(78,1)}
        53:{2,4,6}:{(31,1),(32,1),(74,1),(79,1)}
        54:{3,5,6}:{(32,1),(66,1),(78,1),(79,1),(80,1)}
        55:{2,4}:{(33,1),(75,1)}
        56:{2,3,5,7}:{(33,1),(34,1),(36,1),(76,1),(81,1),(82,1),(130,1),(187,1),(192,1),(207,1)}
        57:{1,2,6}:{(34,1),(35,1),(82,1)}
        58:{1,2,4}:{(37,1),(48,1),(83,1),(99,1)}
        59:{2,3,4,7}:{(37,1),(49,1),(84,1),(85,1),(103,1),(138,1),(177,1),(202,1)}
        60:{1,2,6}:{(38,1),(48,1),(86,1),(87,1)}
        61:{2,3,7}:{(38,1),(41,1),(87,1),(90,1)}
        62:{3,6}:{(39,1),(50,1),(90,1)}
        63:{1,2,4,7}:{(39,1),(40,1),(41,1),(44,1),(87,1),(90,1),(96,1),(135,1)}
        64:{1,4,6,7}:{(40,1),(42,1),(45,1),(52,1),(92,1),(145,1),(178,1)}
        65:{2,4,6,7}:{(41,1),(42,1),(46,1),(53,1),(88,1),(93,1),(138,1)}
        66:{3,5,7}:{(42,1),(54,1),(92,1),(93,1),(94,1)}
        67:{2,4,6}:{(43,1),(55,1),(89,1),(95,1),(96,1),(151,1)}
        68:{2,3,5,7}:{(43,1),(44,1),(90,1),(96,1),(97,1),(139,1),(141,1),(144,1)}
        69:{1,2,6,7}:{(44,1),(45,1),(46,1),(57,1),(97,1),(174,1),(203,1)}
        70:{2,5,6,7}:{(46,1),(47,1),(93,1),(98,1)}
        71:{4,6,7}:{(47,1),(94,1)}
        72:{1,3,5}:{(48,1),(50,1),(83,1),(86,1),(99,1),(134,1)}
        73:{1,2,5,7}:{(48,1),(49,1),(84,1),(87,1),(100,1),(101,1),(132,1)}
        74:{2,3,6}:{(49,1),(53,1),(101,1),(104,1),(209,1)}
        75:{3,4}:{(50,1),(55,1),(99,1)}
        76:{3,5,7}:{(50,1),(51,1),(90,1),(103,1),(104,1),(150,1),(172,1),(177,1)}
        77:{1,2,4,6}:{(51,1),(52,1),(53,1),(57,1),(101,1),(104,1),(105,1),(107,1),(143,1),(146,1),(151,1),(174,1),(200,1),(209,1)}
        78:{1,5,6}:{(52,1),(54,1),(92,1)}
        79:{2,5,6}:{(53,1),(54,1),(93,1)}
        80:{4,5,6}:{(54,1),(94,1),(151,1)}
        81:{2,4,7}:{(55,1),(56,1),(103,1),(107,1),(198,1)}
        82:{2,3,6}:{(56,1),(57,1),(104,1),(107,1),(209,1)}
        83:{1,3}:{(58,1)}
        84:{1,2,4,7}:{(58,1),(59,1),(73,1),(108,1),(109,1),(123,1)}
        85:{2,3,4,6}:{(59,1),(74,1),(109,1),(110,1),(126,1),(127,1),(168,1),(185,1),(195,1)}
        86:{1,3,6}:{(60,1),(62,1),(72,1),(111,1),(112,1)}
        87:{1,2,7}:{(60,1),(61,1),(112,1)}
        88:{2,3,6,7}:{(61,1),(65,1),(74,1),(113,1),(114,1),(117,1),(122,1)}
        89:{3,4,6}:{(62,1),(67,1),(75,1),(111,1),(115,1),(116,1),(161,1)}
        90:{3,7}:{(62,1),(63,1)}
        91:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(69,1),(77,1),(113,1),(117,1),(118,1),(121,1),(157,1),(159,1),(163,1)}
        92:{1,5,7}:{(64,1),(66,1),(78,1)}
        93:{2,5,7}:{(65,1),(66,1),(79,1)}
        94:{4,5,7}:{(66,1),(71,1),(80,1),(163,1)}
        95:{2,4,5}:{(67,1),(115,1),(130,1),(170,1)}
        96:{2,4,7}:{(67,1),(68,1),(116,1),(163,1)}
        97:{2,3,6,7}:{(68,1),(69,1),(82,1),(117,1),(121,1),(161,1),(192,1)}
        98:{2,4,6,7}:{(70,1),(71,1),(119,1),(122,1)}
        99:{1,4}:{(72,1),(75,1)}
       100:{1,3,5,7}:{(72,1),(73,1),(76,1),(108,1),(112,1),(123,1),(124,1),(153,1),(156,1),(166,1)}
       101:{1,2,6}:{(73,1),(74,1),(124,1)}
       102:{2,3,5,6}:{(74,1),(79,1),(110,1),(114,1),(125,1),(126,1),(128,1),(129,1),(168,1)}
       103:{3,4,7}:{(75,1),(76,1),(81,1),(123,1),(127,1),(163,1),(185,1)}
       104:{3,6}:{(76,1),(77,1)}
       105:{1,2,5,6}:{(77,1),(78,1),(79,1),(118,1),(128,1),(130,1),(165,1),(166,1),(188,1)}
       106:{2,4,5,6}:{(79,1),(80,1),(119,1),(126,1),(129,1)}
       107:{2,4,6}:{(81,1),(82,1),(127,1),(130,1)}
       108:{1,3,7}:{(83,1),(84,1),(131,1),(177,1)}
       109:{1,2,4,6}:{(84,1),(85,1),(101,1),(131,1),(132,1),(146,1),(171,1)}
       110:{2,3,5}:{(85,1),(132,1),(133,1),(150,1),(172,1),(204,1)}
       111:{1,4,6}:{(86,1),(89,1),(99,1),(134,1),(135,1),(174,1)}
       112:{1,3,7}:{(86,1),(87,1),(90,1),(135,1)}
       113:{1,2,6,7}:{(87,1),(88,1),(101,1),(136,1),(137,1),(145,1),(209,1)}
       114:{2,3,5,7}:{(88,1),(93,1),(102,1),(137,1),(138,1),(141,1),(142,1),(177,1)}
       115:{3,5}:{(89,1),(95,1),(134,1)}
       116:{3,4,7}:{(89,1),(90,1),(96,1),(135,1),(139,1)}
       117:{3,6,7}:{(90,1),(91,1),(104,1),(141,1),(177,1)}
       118:{1,2,5,7}:{(91,1),(92,1),(93,1),(105,1),(141,1),(144,1),(175,1)}
       119:{2,4,5,7}:{(93,1),(94,1),(98,1),(106,1),(138,1),(142,1)}
       120:{2,4,5,7}:{(95,1),(96,1),(139,1),(143,1),(144,1),(180,1)}
       121:{2,4,6,7}:{(96,1),(97,1),(107,1),(140,1),(143,1),(144,1),(202,1),(209,1)}
       122:{3,6,7}:{(98,1),(142,1),(145,1)}
       123:{1,4,7}:{(99,1),(100,1),(103,1),(146,1),(171,1)}
       124:{1,3,6}:{(100,1),(101,1),(104,1),(146,1),(174,1)}
       125:{1,2,5,6}:{(101,1),(102,1),(132,1),(137,1),(147,1),(148,1),(152,1),(204,1),(209,1)}
       126:{2,4,6}:{(102,1),(133,1),(138,1),(149,1),(151,1)}
       127:{3,4,6}:{(103,1),(104,1),(107,1),(146,1),(150,1),(151,1)}
       128:{3,5,6}:{(104,1),(105,1),(141,1),(150,1),(151,1)}
       129:{3,5,6}:{(106,1),(142,1),(149,1),(152,1)}
       130:{2,5}:{(107,1),(150,1)}
       131:{1,3,6}:{(108,1),(109,1),(153,1),(168,1)}
       132:{1,2,5}:{(109,1),(110,1),(153,1),(166,1)}
       133:{2,4,5}:{(110,1),(126,1),(155,1),(170,1)}
       134:{1,5}:{(111,1),(115,1)}
       135:{1,4,7}:{(111,1),(112,1),(116,1),(156,1)}
       136:{1,3,6,7}:{(112,1),(113,1),(117,1),(124,1),(157,1),(158,1),(206,1)}
       137:{1,2,5,7}:{(113,1),(114,1),(125,1),(158,1),(159,1),(164,1),(207,1)}
       138:{2,4,7}:{(114,1),(126,1),(160,1),(163,1)}
       139:{3,5,7}:{(115,1),(116,1),(120,1),(156,1),(161,1)}
       140:{3,4,6,7}:{(116,1),(117,1),(121,1),(127,1),(157,1),(161,1),(162,1),(163,1),(190,1),(193,1),(206,1)}
       141:{3,5,7}:{(117,1),(118,1),(128,1),(163,1)}
       142:{3,5,7}:{(119,1),(122,1),(129,1),(160,1),(164,1)}
       143:{2,4,6}:{(120,1),(161,1),(165,1),(193,1)}
       144:{2,5,7}:{(121,1),(130,1),(162,1),(165,1)}
       145:{1,6,7}:{(122,1),(164,1)}
       146:{1,4,6}:{(123,1),(124,1),(127,1),(166,1)}
       147:{1,3,5,6}:{(124,1),(125,1),(128,1),(153,1),(158,1),(166,1),(167,1),(168,1),(188,1),(194,1),(206,1)}
       148:{1,2,4,6}:{(125,1),(126,1),(154,1),(159,1),(167,1),(168,1),(169,1),(195,1),(196,1)}
       149:{3,4,6}:{(126,1),(129,1),(155,1),(160,1),(168,1),(169,1)}
       150:{3,5}:{(127,1),(130,1),(166,1),(170,1)}
       151:{4,6}:{(128,1),(163,1),(170,1)}
       152:{1,5,6}:{(129,1),(164,1),(169,1)}
       153:{1,3,5}:{(131,1),(132,1),(171,1),(172,1)}
       154:{1,2,4,5}:{(132,1),(133,1),(148,1),(171,1),(172,1),(173,1),(181,1),(198,1),(199,1),(204,1)}
       155:{3,4,5}:{(133,1),(149,1),(172,1),(173,1)}
       156:{1,5,7}:{(134,1),(135,1),(139,1),(174,1)}
       157:{1,4,6,7}:{(135,1),(136,1),(140,1),(146,1),(174,1),(175,1),(176,1),(200,1)}
       158:{1,3,5,7}:{(136,1),(137,1),(141,1),(147,1),(175,1),(176,1),(177,1),(201,1)}
       159:{1,2,4,7}:{(137,1),(138,1),(148,1),(176,1),(177,1),(178,1),(202,1),(203,1)}
       160:{3,4,7}:{(138,1),(142,1),(149,1),(177,1),(178,1)}
       161:{3,6}:{(139,1),(143,1),(174,1)}
       162:{3,5,7}:{(140,1),(144,1),(150,1),(175,1),(179,1),(180,1)}
       163:{4,7}:{(141,1),(151,1)}
       164:{1,5,7}:{(142,1),(145,1),(152,1),(178,1)}
       165:{2,5,6}:{(143,1),(144,1),(179,1),(209,1)}
       166:{1,5}:{(146,1),(150,1)}
       167:{1,4,6}:{(147,1),(151,1),(171,1),(176,1),(181,1),(182,1)}
       168:{3,6}:{(148,1),(172,1),(177,1)}
       169:{1,4,6}:{(149,1),(152,1),(173,1),(178,1),(183,1)}
       170:{4,5}:{(150,1),(151,1)}
       171:{1,4}:{(153,1),(185,1)}
       172:{3,5}:{(154,1),(168,1),(185,1)}
       173:{1,4,5}:{(155,1),(169,1),(186,1)}
       174:{1,6}:{(156,1),(161,1)}
       175:{1,5,7}:{(157,1),(162,1),(166,1),(188,1)}
       176:{1,4,7}:{(158,1),(163,1),(167,1),(190,1)}
       177:{3,7}:{(159,1),(168,1)}
       178:{1,4,7}:{(160,1),(164,1),(169,1),(191,1)}
       179:{3,5,6}:{(161,1),(162,1),(165,1),(188,1),(193,1),(206,1)}
       180:{4,5,7}:{(162,1),(163,1),(170,1),(193,1)}
       181:{1,4,5}:{(166,1),(167,1),(170,1),(194,1)}
       182:{3,4,6}:{(167,1),(168,1),(185,1),(190,1),(194,1),(195,1),(206,1)}
       183:{1,3,6}:{(168,1),(169,1),(186,1),(191,1),(196,1)}
       184:{2,3,6}:{(168,1),(187,1),(192,1),(195,1),(196,1)}
       185:{3,4}:{(171,1),(172,1),(198,1)}
       186:{1,3,5}:{(172,1),(173,1),(183,1),(197,1),(199,1)}
       187:{2,3,5}:{(172,1),(184,1),(198,1),(199,1),(204,1),(208,1)}
       188:{1,5,6}:{(174,1),(175,1),(179,1),(200,1)}
       189:{1,4,5,7}:{(175,1),(176,1),(180,1),(181,1),(200,1),(201,1)}
       190:{3,4,7}:{(176,1),(177,1),(182,1),(201,1),(202,1)}
       191:{1,3,7}:{(177,1),(178,1),(183,1),(203,1)}
       192:{2,3,7}:{(177,1),(184,1),(202,1),(203,1)}
       193:{4,6}:{(179,1),(180,1)}
       194:{3,5}:{(181,1),(182,1),(204,1)}
       195:{2,4,6}:{(182,1),(184,1),(198,1),(202,1),(204,1),(209,1)}
       196:{1,2,6}:{(183,1),(184,1),(199,1),(203,1)}
       197:{1,3,4}:{(185,1),(186,1),(205,1)}
       198:{2,4}:{(185,1),(187,1)}
       199:{1,2,5}:{(186,1),(187,1),(196,1),(205,1)}
       200:{1,4,6}:{(188,1),(189,1),(193,1),(206,1)}
       201:{3,5,7}:{(189,1),(190,1),(194,1),(206,1),(207,1)}
       202:{2,4,7}:{(190,1),(192,1),(195,1),(207,1)}
       203:{1,2,7}:{(191,1),(192,1),(196,1)}
       204:{2,5}:{(194,1),(195,1)}
       205:{1,2,4}:{(197,1),(198,1),(199,1),(208,1)}
       206:{3,6}:{(200,1),(201,1),(209,1)}
       207:{2,5,7}:{(201,1),(202,1),(204,1),(209,1)}
       208:{2,3}:{(205,1)}
       209:{2,6}:{(206,1),(207,1)}

 495 :   0:{1,3,5,6,7}:{(2,1),(3,1),(11,1),(13,1),(36,1),(40,1),(86,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(11,1),(17,1),(37,1),(48,1),(80,1)}
         2:{1,2,5,6,7}:{(0,1),(1,1),(5,1),(27,1),(31,1),(58,1),(61,1),(67,1)}
         3:{1,4,6,7}:{(0,1),(6,1),(7,1),(56,1),(59,1),(105,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(9,1),(57,1),(66,1),(100,1)}
         5:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(10,1),(11,1),(15,1),(18,1),(38,1),(77,1),(79,1),(85,1)}
         6:{1,4,5,7}:{(3,1),(12,1),(13,1),(122,1)}
         7:{3,4,6,7}:{(3,1),(11,1),(13,1),(15,1),(35,1),(39,1),(121,1)}
         8:{2,4,5,7}:{(4,1),(16,1),(17,1),(118,1)}
         9:{3,4,6,7}:{(4,1),(11,1),(17,1),(18,1),(35,1),(46,1),(117,1)}
        10:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(20,1),(21,1),(27,1),(31,1),(56,1),(57,1),(58,1)}
        11:{3,6,7}:{(5,1),(21,1),(97,1),(99,1),(104,1)}
        12:{1,4,5,6}:{(6,1),(24,1),(59,1)}
        13:{3,5,7}:{(6,1),(7,1),(24,1),(27,1),(132,1)}
        14:{1,3,4,6,7}:{(7,1),(22,1),(26,1),(28,1),(56,1),(59,1),(92,1),(97,1),(99,1),(102,1),(129,1)}
        15:{2,4,6,7}:{(7,1),(23,1),(27,1),(57,1),(60,1),(131,1)}
        16:{2,4,5,6}:{(8,1),(29,1),(66,1)}
        17:{3,5,7}:{(8,1),(9,1),(29,1),(31,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(22,1),(31,1),(56,1),(65,1),(129,1)}
        19:{2,3,4,6,7}:{(9,1),(23,1),(32,1),(33,1),(57,1),(66,1),(93,1),(97,1),(104,1),(107,1),(131,1)}
        20:{1,2,4,5,6}:{(10,1),(12,1),(16,1),(34,1),(41,1),(47,1),(72,1),(73,1),(74,1),(79,1),(85,1),(110,1),(118,1),(122,1),(136,1),(137,1)}
        21:{3,5,7}:{(10,1),(11,1),(34,1),(35,1)}
        22:{1,3,6,7}:{(11,1),(18,1),(36,1),(38,1),(84,1),(116,1)}
        23:{2,3,6,7}:{(11,1),(15,1),(37,1),(38,1),(78,1),(120,1)}
        24:{3,5,6}:{(12,1),(13,1),(39,1),(41,1)}
        25:{3,4,5,7}:{(13,1),(35,1),(39,1),(42,1),(43,1),(71,1),(82,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(40,1),(42,1),(44,1),(82,1),(108,1),(136,1)}
        27:{2,5,7}:{(13,1),(15,1),(41,1),(137,1)}
        28:{1,2,4,6,7}:{(14,1),(15,1),(38,1),(44,1),(45,1),(77,1),(79,1),(83,1),(111,1)}
        29:{3,5,6}:{(16,1),(17,1),(46,1),(47,1)}
        30:{3,4,5,7}:{(17,1),(35,1),(46,1),(49,1),(50,1),(71,1),(88,1)}
        31:{1,5,7}:{(17,1),(18,1),(47,1),(136,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(48,1),(50,1),(51,1),(88,1),(109,1),(137,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(38,1),(51,1),(52,1),(77,1),(85,1),(89,1),(112,1)}
        34:{3,5,6}:{(20,1),(21,1),(53,1),(99,1),(104,1),(126,1),(130,1),(132,1)}
        35:{3,4,7}:{(21,1),(53,1),(56,1),(57,1),(97,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(31,1),(54,1),(56,1),(58,1),(97,1)}
        37:{2,3,5,7}:{(21,1),(23,1),(27,1),(55,1),(57,1),(58,1),(97,1)}
        38:{1,2,6,7}:{(22,1),(23,1),(58,1),(98,1),(103,1)}
        39:{3,4,6}:{(24,1),(25,1),(59,1),(60,1),(99,1)}
        40:{1,3,5,6}:{(24,1),(26,1),(59,1),(61,1),(99,1)}
        41:{2,5,6}:{(24,1),(27,1),(60,1)}
        42:{1,4,5,7}:{(25,1),(26,1),(56,1),(59,1),(90,1)}
        43:{2,4,5,7}:{(25,1),(27,1),(57,1),(60,1),(62,1),(91,1)}
        44:{1,2,5,7}:{(26,1),(27,1),(28,1),(61,1),(64,1),(124,1)}
        45:{2,3,6,7}:{(28,1),(64,1),(97,1),(99,1),(127,1)}
        46:{3,4,6}:{(29,1),(30,1),(65,1),(66,1),(104,1)}
        47:{1,5,6}:{(29,1),(31,1),(65,1)}
        48:{2,3,5,6}:{(29,1),(32,1),(66,1),(67,1),(104,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(56,1),(65,1),(68,1),(90,1)}
        50:{2,4,5,7}:{(30,1),(32,1),(57,1),(66,1),(91,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(67,1),(70,1),(125,1)}
        52:{1,3,6,7}:{(33,1),(70,1),(97,1),(104,1),(128,1)}
        53:{3,4,6}:{(34,1),(35,1),(71,1),(72,1),(73,1),(113,1),(135,1)}
        54:{1,3,5,6}:{(34,1),(36,1),(47,1),(72,1),(74,1),(84,1),(108,1),(113,1),(116,1),(134,1),(136,1)}
        55:{2,3,5,6}:{(34,1),(37,1),(41,1),(73,1),(74,1),(78,1),(109,1),(113,1),(120,1),(133,1),(137,1)}
        56:{1,4,7}:{(35,1),(36,1),(72,1)}
        57:{2,4,7}:{(35,1),(37,1),(73,1)}
        58:{1,2,5,7}:{(36,1),(37,1),(38,1),(74,1),(77,1)}
        59:{1,4,6}:{(39,1),(40,1),(42,1)}
        60:{2,4,6}:{(39,1),(41,1),(43,1),(78,1)}
        61:{1,2,5,6}:{(40,1),(41,1),(44,1),(79,1),(80,1),(136,1)}
        62:{2,3,5,7}:{(43,1),(76,1),(78,1),(81,1),(82,1),(109,1)}
        63:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(77,1),(79,1),(81,1),(82,1),(83,1),(110,1),(118,1),(119,1),(136,1)}
        64:{2,3,5,7}:{(44,1),(45,1),(80,1),(82,1),(83,1),(133,1)}
        65:{1,4,6}:{(46,1),(47,1),(49,1),(84,1)}
        66:{2,4,6}:{(46,1),(48,1),(50,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(51,1),(85,1),(86,1),(137,1)}
        68:{1,3,5,7}:{(49,1),(75,1),(84,1),(87,1),(88,1),(108,1)}
        69:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(77,1),(85,1),(87,1),(88,1),(89,1),(110,1),(122,1),(123,1),(137,1)}
        70:{1,3,5,7}:{(51,1),(52,1),(86,1),(88,1),(89,1),(134,1)}
        71:{3,4,5}:{(53,1),(90,1),(91,1),(126,1),(130,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(56,1),(90,1),(139,1)}
        73:{2,4,6}:{(53,1),(55,1),(57,1),(91,1),(138,1)}
        74:{1,2,5,6}:{(54,1),(55,1),(58,1),(94,1),(98,1),(103,1),(124,1),(125,1)}
        75:{1,3,4,7}:{(56,1),(68,1),(92,1),(95,1),(97,1),(107,1)}
        76:{2,3,4,7}:{(57,1),(62,1),(93,1),(96,1),(97,1),(102,1)}
        77:{1,2,4,7}:{(56,1),(57,1),(58,1),(94,1),(97,1)}
        78:{2,3,6}:{(60,1),(62,1),(98,1),(99,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(63,1),(98,1),(99,1),(100,1),(129,1)}
        80:{2,3,5,6}:{(61,1),(64,1),(99,1),(100,1),(130,1)}
        81:{1,2,5,7}:{(62,1),(96,1),(98,1),(101,1),(125,1)}
        82:{3,5,7}:{(63,1),(97,1),(99,1),(102,1),(126,1),(130,1)}
        83:{2,4,7}:{(64,1),(100,1),(102,1),(138,1)}
        84:{1,3,6}:{(65,1),(68,1),(103,1),(104,1)}
        85:{1,2,4,6}:{(65,1),(66,1),(67,1),(69,1),(103,1),(104,1),(105,1),(131,1)}
        86:{1,3,5,6}:{(67,1),(70,1),(104,1),(105,1),(132,1)}
        87:{1,2,5,7}:{(68,1),(95,1),(103,1),(106,1),(124,1)}
        88:{3,5,7}:{(69,1),(97,1),(104,1),(107,1),(126,1),(132,1)}
        89:{1,4,7}:{(70,1),(105,1),(107,1),(139,1)}
        90:{1,4,5}:{(71,1),(72,1),(108,1),(136,1)}
        91:{2,4,5}:{(71,1),(73,1),(109,1),(137,1)}
        92:{1,3,4,6}:{(72,1),(75,1),(84,1),(108,1),(111,1),(113,1),(121,1),(135,1)}
        93:{2,3,4,6}:{(73,1),(76,1),(78,1),(109,1),(112,1),(113,1),(117,1),(135,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(77,1),(110,1),(113,1)}
        95:{1,2,4,7}:{(75,1),(87,1),(111,1),(114,1),(123,1)}
        96:{1,2,4,7}:{(76,1),(81,1),(112,1),(115,1),(119,1)}
        97:{3,7}:{(77,1),(113,1)}
        98:{1,2,6}:{(78,1),(81,1),(116,1)}
        99:{3,6}:{(79,1),(82,1)}
       100:{2,4,6}:{(80,1),(83,1),(117,1),(118,1)}
       101:{1,3,5,7}:{(81,1),(82,1),(115,1),(116,1),(119,1),(134,1),(136,1)}
       102:{3,4,7}:{(82,1),(83,1),(117,1),(119,1),(135,1)}
       103:{1,2,6}:{(84,1),(87,1),(120,1)}
       104:{3,6}:{(85,1),(88,1)}
       105:{1,4,6}:{(86,1),(89,1),(121,1),(122,1)}
       106:{2,3,5,7}:{(87,1),(88,1),(114,1),(120,1),(123,1),(133,1),(137,1)}
       107:{3,4,7}:{(88,1),(89,1),(121,1),(123,1),(135,1)}
       108:{1,3,5}:{(90,1),(92,1),(124,1),(126,1),(132,1)}
       109:{2,3,5}:{(91,1),(93,1),(125,1),(126,1),(130,1)}
       110:{1,2,4,5}:{(90,1),(91,1),(94,1),(124,1),(125,1),(126,1),(138,1),(139,1)}
       111:{1,2,4,6}:{(92,1),(95,1),(103,1),(124,1),(127,1),(131,1),(138,1)}
       112:{1,2,4,6}:{(93,1),(96,1),(98,1),(125,1),(128,1),(129,1),(139,1)}
       113:{3,6}:{(94,1),(97,1),(126,1)}
       114:{2,3,7}:{(95,1),(97,1),(127,1)}
       115:{1,3,7}:{(96,1),(97,1),(128,1)}
       116:{1,3,6}:{(98,1),(99,1),(101,1),(129,1)}
       117:{3,4,6}:{(99,1),(100,1),(102,1),(129,1),(130,1)}
       118:{2,4,5}:{(100,1),(130,1)}
       119:{1,4,7}:{(101,1),(102,1),(129,1),(139,1)}
       120:{2,3,6}:{(103,1),(104,1),(106,1),(131,1)}
       121:{3,4,6}:{(104,1),(105,1),(107,1),(131,1),(132,1)}
       122:{1,4,5}:{(105,1),(132,1)}
       123:{2,4,7}:{(106,1),(107,1),(131,1),(138,1)}
       124:{1,2,5}:{(108,1),(111,1),(133,1),(137,1)}
       125:{1,2,5}:{(109,1),(112,1),(134,1),(136,1)}
       126:{3,5}:{(110,1),(113,1),(135,1)}
       127:{2,3,6}:{(111,1),(113,1),(114,1),(133,1)}
       128:{1,3,6}:{(112,1),(113,1),(115,1),(134,1)}
       129:{1,4,6}:{(116,1),(117,1),(119,1),(136,1)}
       130:{3,5}:{(117,1),(118,1),(136,1)}
       131:{2,4,6}:{(120,1),(121,1),(123,1),(137,1)}
       132:{3,5}:{(121,1),(122,1),(137,1)}
       133:{2,3,5}:{(124,1),(126,1),(127,1),(138,1)}
       134:{1,3,5}:{(125,1),(126,1),(128,1),(139,1)}
       135:{3,4}:{(126,1),(138,1),(139,1)}
       136:{1,5}:{(129,1),(130,1)}
       137:{2,5}:{(131,1),(132,1)}
       138:{2,4}:{(133,1),(135,1)}
       139:{1,4}:{(134,1),(135,1)}

 496 :   0:{1,3,4,7}:{(2,1),(3,1),(4,1),(57,1),(64,1),(125,1),(178,1),(196,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(7,1),(31,1),(32,1),(45,1),(95,1),(136,1),(140,1),(148,1),(151,1)}
         2:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(12,1),(32,1),(183,1),(188,1),(195,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(39,1),(205,1)}
         4:{1,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(42,1),(88,1),(98,1),(100,1),(158,1)}
         5:{1,4,5,7}:{(1,1),(2,1),(16,1),(25,1),(54,1),(64,1),(163,1),(167,1)}
         6:{2,4,5,7}:{(1,1),(13,1),(17,1),(55,1),(71,1),(105,1),(108,1),(126,1)}
         7:{3,4,6}:{(1,1),(16,1),(17,1),(18,1),(58,1),(120,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(20,1),(21,1),(24,1),(198,1),(202,1)}
         9:{1,3,6}:{(2,1),(16,1),(21,1),(58,1),(204,1)}
        10:{2,3,7}:{(3,1),(23,1),(125,1),(208,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(21,1),(23,1),(24,1),(65,1),(69,1)}
        12:{1,3,5}:{(4,1),(24,1),(25,1),(70,1),(119,1),(180,1)}
        13:{2,3,5,7}:{(6,1),(26,1),(27,1),(28,1),(32,1),(74,1),(102,1),(156,1),(207,1)}
        14:{3,4,6,7}:{(7,1),(29,1),(30,1),(31,1),(83,1),(84,1),(95,1),(140,1),(145,1),(146,1),(148,1)}
        15:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(27,1),(32,1),(33,1),(39,1),(44,1),(77,1),(85,1),(94,1),(96,1),(135,1),(139,1),(141,1),(148,1),(151,1),(153,1),(186,1),(195,1),(207,1)}
        16:{1,4,6}:{(5,1),(7,1),(9,1),(34,1)}
        17:{2,4,6}:{(6,1),(7,1),(28,1),(35,1)}
        18:{3,5,6}:{(7,1),(31,1),(34,1),(35,1),(36,1)}
        19:{1,3,6,7}:{(9,1),(29,1),(37,1),(38,1),(84,1),(145,1),(188,1)}
        20:{2,3,5,7}:{(8,1),(10,1),(32,1),(39,1),(40,1),(43,1),(96,1),(184,1),(189,1),(207,1)}
        21:{1,2,6}:{(8,1),(9,1),(40,1)}
        22:{1,3,5,6}:{(9,1),(12,1),(34,1),(38,1),(41,1),(42,1),(89,1),(90,1),(98,1)}
        23:{2,3,6}:{(10,1),(11,1),(43,1),(98,1)}
        24:{1,2,5}:{(11,1),(12,1),(43,1),(96,1)}
        25:{1,4,5}:{(12,1),(42,1),(45,1),(151,1)}
        26:{2,3,4,7}:{(13,1),(46,1),(47,1),(57,1),(108,1),(132,1),(166,1),(201,1)}
        27:{1,2,5,7}:{(13,1),(46,1),(49,1),(50,1),(104,1),(133,1),(179,1)}
        28:{2,3,6}:{(13,1),(17,1),(50,1),(58,1),(209,1)}
        29:{1,4,6,7}:{(14,1),(16,1),(19,1),(54,1),(64,1),(167,1),(173,1)}
        30:{2,4,6,7}:{(14,1),(17,1),(48,1),(55,1),(108,1),(126,1),(172,1)}
        31:{3,5,7}:{(14,1),(18,1),(54,1),(55,1),(56,1)}
        32:{3,5,7}:{(15,1),(57,1),(58,1),(70,1),(119,1),(125,1),(162,1),(166,1)}
        33:{1,2,4,6}:{(15,1),(16,1),(17,1),(21,1),(50,1),(58,1),(59,1),(65,1),(109,1),(120,1),(176,1),(199,1),(204,1),(209,1)}
        34:{1,5,6}:{(16,1),(18,1),(54,1)}
        35:{2,5,6}:{(17,1),(18,1),(55,1)}
        36:{4,5,6}:{(18,1),(56,1),(120,1)}
        37:{1,2,6,7}:{(19,1),(21,1),(62,1),(63,1),(172,1),(202,1),(204,1)}
        38:{1,3,5,7}:{(19,1),(22,1),(54,1),(63,1),(64,1),(116,1),(117,1),(125,1)}
        39:{2,4,7}:{(20,1),(57,1),(65,1),(69,1),(197,1)}
        40:{2,3,6}:{(20,1),(21,1),(58,1),(65,1),(209,1)}
        41:{1,2,5,6}:{(21,1),(22,1),(24,1),(63,1),(66,1),(67,1),(121,1),(180,1),(204,1)}
        42:{1,4,6}:{(22,1),(25,1),(64,1),(68,1),(120,1)}
        43:{2,3,5}:{(23,1),(24,1),(69,1),(70,1)}
        44:{1,2,4,5}:{(24,1),(25,1),(67,1),(69,1),(70,1),(71,1),(127,1),(131,1),(133,1),(180,1)}
        45:{3,4,5}:{(25,1),(68,1),(70,1),(71,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(72,1),(73,1),(77,1),(160,1)}
        47:{2,3,4,6}:{(26,1),(28,1),(73,1),(74,1),(80,1),(88,1),(143,1),(182,1),(191,1)}
        48:{2,3,6,7}:{(28,1),(30,1),(75,1),(76,1),(84,1),(146,1),(156,1)}
        49:{1,3,5,7}:{(27,1),(32,1),(72,1),(77,1),(78,1),(101,1),(134,1),(141,1),(155,1),(195,1)}
        50:{1,2,6}:{(27,1),(28,1),(78,1)}
        51:{2,3,5,6}:{(28,1),(35,1),(74,1),(76,1),(79,1),(80,1),(89,1),(91,1),(143,1)}
        52:{3,5,6,7}:{(31,1),(81,1),(82,1),(83,1),(145,1),(146,1)}
        53:{1,2,4,6,7}:{(29,1),(30,1),(33,1),(37,1),(75,1),(84,1),(85,1),(92,1),(94,1),(137,1),(139,1),(148,1)}
        54:{1,5,7}:{(29,1),(31,1),(34,1)}
        55:{2,5,7}:{(30,1),(31,1),(35,1)}
        56:{4,5,7}:{(31,1),(36,1),(83,1),(148,1)}
        57:{3,4,7}:{(32,1),(39,1),(77,1),(88,1),(100,1),(148,1),(182,1)}
        58:{3,6}:{(32,1),(33,1)}
        59:{1,2,5,6}:{(33,1),(34,1),(35,1),(85,1),(89,1),(96,1),(141,1),(152,1),(185,1)}
        60:{1,4,5,6}:{(34,1),(36,1),(42,1),(86,1),(90,1)}
        61:{2,4,5,6}:{(35,1),(36,1),(80,1),(87,1),(91,1)}
        62:{2,3,6,7}:{(37,1),(40,1),(84,1),(92,1),(93,1),(189,1),(194,1)}
        63:{1,2,5,7}:{(37,1),(38,1),(41,1),(93,1),(94,1),(149,1),(195,1)}
        64:{1,4,7}:{(38,1),(42,1),(95,1),(148,1)}
        65:{2,4,6}:{(39,1),(40,1),(88,1),(96,1)}
        66:{2,3,5,6}:{(40,1),(41,1),(43,1),(89,1),(93,1),(96,1),(97,1),(98,1),(152,1),(157,1),(194,1)}
        67:{1,2,4,6}:{(41,1),(42,1),(44,1),(94,1),(97,1),(98,1),(99,1),(158,1),(159,1)}
        68:{3,4,6}:{(42,1),(45,1),(90,1),(95,1),(98,1),(99,1)}
        69:{2,4}:{(43,1),(100,1)}
        70:{3,5}:{(44,1),(98,1),(100,1)}
        71:{2,4,5}:{(45,1),(99,1),(102,1)}
        72:{1,3,7}:{(46,1),(103,1),(166,1),(181,1)}
        73:{1,2,4,6}:{(46,1),(47,1),(50,1),(103,1),(104,1),(109,1),(161,1)}
        74:{2,3,5}:{(47,1),(104,1),(105,1),(119,1),(162,1),(203,1)}
        75:{1,2,6,7}:{(48,1),(50,1),(106,1),(107,1),(173,1),(179,1),(209,1)}
        76:{2,3,5,7}:{(48,1),(51,1),(55,1),(107,1),(108,1),(116,1),(118,1),(166,1)}
        77:{1,4,7}:{(49,1),(57,1),(109,1),(131,1),(161,1)}
        78:{1,3,6}:{(49,1),(50,1),(58,1),(109,1),(204,1)}
        79:{1,2,5,6}:{(50,1),(51,1),(104,1),(107,1),(110,1),(111,1),(122,1),(203,1),(209,1)}
        80:{2,4,6}:{(51,1),(105,1),(108,1),(112,1),(120,1)}
        81:{1,5,6,7}:{(52,1),(54,1),(113,1),(173,1)}
        82:{2,5,6,7}:{(52,1),(55,1),(114,1),(172,1)}
        83:{4,6,7}:{(52,1),(56,1)}
        84:{3,6,7}:{(53,1),(58,1),(116,1),(125,1),(166,1)}
        85:{1,2,5,7}:{(53,1),(54,1),(55,1),(59,1),(116,1),(123,1),(164,1)}
        86:{1,4,5,7}:{(54,1),(56,1),(60,1),(64,1),(113,1),(117,1)}
        87:{2,4,5,7}:{(55,1),(56,1),(61,1),(108,1),(114,1),(118,1)}
        88:{3,4,6}:{(57,1),(58,1),(65,1),(109,1),(119,1),(120,1)}
        89:{3,5,6}:{(58,1),(59,1),(116,1),(119,1),(120,1)}
        90:{3,5,6}:{(60,1),(68,1),(117,1),(121,1)}
        91:{3,5,6}:{(61,1),(112,1),(118,1),(122,1)}
        92:{2,4,6,7}:{(62,1),(65,1),(115,1),(123,1),(124,1),(176,1),(201,1),(209,1)}
        93:{2,3,5,7}:{(62,1),(63,1),(66,1),(116,1),(123,1),(124,1),(125,1),(177,1)}
        94:{1,2,4,7}:{(63,1),(64,1),(67,1),(124,1),(125,1),(126,1),(178,1),(179,1)}
        95:{3,4,7}:{(64,1),(68,1),(117,1),(125,1),(126,1)}
        96:{2,5}:{(65,1),(119,1)}
        97:{2,4,6}:{(66,1),(69,1),(120,1),(124,1),(127,1),(128,1)}
        98:{3,6}:{(67,1),(70,1),(125,1)}
        99:{2,4,6}:{(68,1),(71,1),(121,1),(126,1),(130,1)}
       100:{3,4}:{(69,1),(70,1),(131,1)}
       101:{1,3,5}:{(70,1),(129,1),(131,1),(133,1),(180,1),(181,1)}
       102:{2,3,5}:{(70,1),(71,1),(130,1),(132,1),(133,1)}
       103:{1,3,6}:{(72,1),(73,1),(134,1),(143,1)}
       104:{1,2,5}:{(73,1),(74,1),(134,1),(141,1)}
       105:{2,4,5}:{(74,1),(80,1),(136,1),(151,1)}
       106:{1,3,6,7}:{(75,1),(78,1),(84,1),(137,1),(138,1),(155,1),(206,1)}
       107:{1,2,5,7}:{(75,1),(76,1),(79,1),(138,1),(139,1),(150,1),(207,1)}
       108:{2,4,7}:{(76,1),(80,1),(140,1),(148,1)}
       109:{1,4,6}:{(77,1),(78,1),(88,1),(141,1)}
       110:{1,3,5,6}:{(78,1),(79,1),(89,1),(134,1),(138,1),(141,1),(142,1),(143,1),(185,1),(190,1),(206,1)}
       111:{1,2,4,6}:{(79,1),(80,1),(135,1),(139,1),(142,1),(143,1),(144,1),(191,1),(192,1)}
       112:{3,4,6}:{(80,1),(91,1),(136,1),(140,1),(143,1),(144,1)}
       113:{1,4,6,7}:{(81,1),(83,1),(86,1),(145,1)}
       114:{2,4,6,7}:{(82,1),(83,1),(87,1),(146,1)}
       115:{3,4,6,7}:{(84,1),(88,1),(92,1),(137,1),(147,1),(148,1),(154,1),(187,1),(193,1),(194,1),(206,1)}
       116:{3,5,7}:{(84,1),(85,1),(89,1),(148,1)}
       117:{3,5,7}:{(86,1),(90,1),(95,1),(145,1),(149,1)}
       118:{3,5,7}:{(87,1),(91,1),(140,1),(146,1),(150,1)}
       119:{3,5}:{(88,1),(96,1),(141,1),(151,1)}
       120:{4,6}:{(89,1),(148,1),(151,1)}
       121:{2,5,6}:{(90,1),(99,1),(149,1)}
       122:{1,5,6}:{(91,1),(144,1),(150,1)}
       123:{2,5,7}:{(92,1),(96,1),(147,1),(152,1)}
       124:{2,4,7}:{(93,1),(97,1),(148,1),(154,1)}
       125:{3,7}:{(94,1),(98,1)}
       126:{2,4,7}:{(95,1),(99,1),(149,1),(156,1)}
       127:{2,4,5}:{(96,1),(97,1),(151,1),(157,1)}
       128:{3,4,6}:{(97,1),(98,1),(100,1),(154,1),(157,1),(158,1),(194,1)}
       129:{1,3,6}:{(98,1),(101,1),(155,1),(158,1),(159,1)}
       130:{2,3,6}:{(98,1),(99,1),(102,1),(156,1),(159,1)}
       131:{1,4}:{(100,1),(101,1)}
       132:{2,3,4}:{(100,1),(102,1),(160,1)}
       133:{1,2,5}:{(101,1),(102,1),(159,1),(160,1)}
       134:{1,3,5}:{(103,1),(104,1),(161,1),(162,1)}
       135:{1,2,4,5}:{(104,1),(105,1),(111,1),(161,1),(162,1),(163,1),(168,1),(197,1),(198,1),(203,1)}
       136:{3,4,5}:{(105,1),(112,1),(162,1),(163,1)}
       137:{1,4,6,7}:{(106,1),(109,1),(115,1),(164,1),(165,1),(178,1),(199,1),(204,1)}
       138:{1,3,5,7}:{(106,1),(107,1),(110,1),(116,1),(164,1),(165,1),(166,1),(200,1)}
       139:{1,2,4,7}:{(107,1),(108,1),(111,1),(165,1),(166,1),(167,1),(201,1),(202,1)}
       140:{3,4,7}:{(108,1),(112,1),(118,1),(166,1),(167,1)}
       141:{1,5}:{(109,1),(119,1)}
       142:{1,4,6}:{(110,1),(120,1),(161,1),(165,1),(168,1),(169,1)}
       143:{3,6}:{(111,1),(162,1),(166,1)}
       144:{1,4,6}:{(112,1),(122,1),(163,1),(167,1),(170,1)}
       145:{3,6,7}:{(113,1),(117,1),(172,1)}
       146:{3,6,7}:{(114,1),(118,1),(173,1)}
       147:{3,5,7}:{(115,1),(119,1),(123,1),(164,1),(174,1),(175,1)}
       148:{4,7}:{(116,1),(120,1)}
       149:{2,5,7}:{(117,1),(121,1),(126,1),(172,1)}
       150:{1,5,7}:{(118,1),(122,1),(167,1),(173,1)}
       151:{4,5}:{(119,1),(120,1)}
       152:{2,5,6}:{(123,1),(174,1),(176,1),(209,1)}
       153:{2,4,5,7}:{(123,1),(124,1),(127,1),(175,1),(176,1),(177,1)}
       154:{3,4,7}:{(124,1),(125,1),(128,1),(177,1),(178,1)}
       155:{1,3,7}:{(125,1),(129,1),(178,1),(179,1)}
       156:{2,3,7}:{(125,1),(126,1),(130,1),(179,1)}
       157:{3,5}:{(127,1),(128,1),(180,1)}
       158:{1,4,6}:{(128,1),(129,1),(131,1),(178,1),(180,1),(204,1)}
       159:{1,2,6}:{(129,1),(130,1),(133,1),(179,1)}
       160:{1,2,4}:{(131,1),(132,1),(133,1),(181,1)}
       161:{1,4}:{(134,1),(182,1)}
       162:{3,5}:{(135,1),(143,1),(182,1)}
       163:{1,4,5}:{(136,1),(144,1),(183,1)}
       164:{1,5,7}:{(137,1),(141,1),(147,1),(185,1)}
       165:{1,4,7}:{(138,1),(142,1),(148,1),(187,1)}
       166:{3,7}:{(139,1),(143,1)}
       167:{1,4,7}:{(140,1),(144,1),(150,1),(188,1)}
       168:{1,4,5}:{(141,1),(142,1),(151,1),(190,1)}
       169:{3,4,6}:{(142,1),(143,1),(182,1),(187,1),(190,1),(191,1),(206,1)}
       170:{1,3,6}:{(143,1),(144,1),(183,1),(188,1),(192,1)}
       171:{2,3,6}:{(143,1),(184,1),(189,1),(191,1),(192,1)}
       172:{2,6,7}:{(145,1),(149,1)}
       173:{1,6,7}:{(146,1),(150,1)}
       174:{3,5,6}:{(147,1),(152,1),(185,1),(193,1),(194,1),(206,1)}
       175:{4,5,7}:{(147,1),(148,1),(151,1),(193,1)}
       176:{2,4,6}:{(152,1),(153,1),(193,1),(194,1)}
       177:{3,5,7}:{(153,1),(154,1),(157,1),(194,1),(195,1)}
       178:{1,4,7}:{(154,1),(155,1),(158,1),(195,1)}
       179:{1,2,7}:{(155,1),(156,1),(159,1)}
       180:{1,5}:{(157,1),(158,1)}
       181:{1,3}:{(160,1)}
       182:{3,4}:{(161,1),(162,1),(197,1)}
       183:{1,3,5}:{(162,1),(163,1),(170,1),(196,1),(198,1)}
       184:{2,3,5}:{(162,1),(171,1),(197,1),(198,1),(203,1),(208,1)}
       185:{1,5,6}:{(164,1),(174,1),(199,1),(204,1)}
       186:{1,4,5,7}:{(164,1),(165,1),(168,1),(175,1),(199,1),(200,1)}
       187:{3,4,7}:{(165,1),(166,1),(169,1),(200,1),(201,1)}
       188:{1,3,7}:{(166,1),(167,1),(170,1),(202,1)}
       189:{2,3,7}:{(166,1),(171,1),(201,1),(202,1)}
       190:{3,5}:{(168,1),(169,1),(203,1)}
       191:{2,4,6}:{(169,1),(171,1),(197,1),(201,1),(203,1),(209,1)}
       192:{1,2,6}:{(170,1),(171,1),(198,1),(202,1)}
       193:{4,6}:{(174,1),(175,1)}
       194:{3,6}:{(176,1),(177,1),(204,1)}
       195:{1,5,7}:{(177,1),(178,1),(180,1),(204,1)}
       196:{1,3,4}:{(182,1),(183,1),(205,1)}
       197:{2,4}:{(182,1),(184,1)}
       198:{1,2,5}:{(183,1),(184,1),(192,1),(205,1)}
       199:{1,4,6}:{(185,1),(186,1),(193,1),(206,1)}
       200:{3,5,7}:{(186,1),(187,1),(190,1),(206,1),(207,1)}
       201:{2,4,7}:{(187,1),(189,1),(191,1),(207,1)}
       202:{1,2,7}:{(188,1),(189,1),(192,1)}
       203:{2,5}:{(190,1),(191,1)}
       204:{1,6}:{(194,1),(195,1)}
       205:{1,2,4}:{(196,1),(197,1),(198,1),(208,1)}
       206:{3,6}:{(199,1),(200,1),(209,1)}
       207:{2,5,7}:{(200,1),(201,1),(203,1),(209,1)}
       208:{2,3}:{(205,1)}
       209:{2,6}:{(206,1),(207,1)}

 497 :  0:{1,3,4}:{(2,1),(3,1),(46,1)}
        1:{3,4,5}:{(5,1),(6,1),(7,1),(32,1),(73,1)}
        2:{1,3,5}:{(0,1),(6,1),(8,1),(9,1),(32,1)}
        3:{1,2,4}:{(0,1),(9,1),(10,1),(35,1)}
        4:{4,5,6}:{(13,1),(14,1),(65,1),(83,1)}
        5:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(17,1),(45,1),(65,1)}
        6:{1,4,5}:{(1,1),(2,1),(16,1)}
        7:{2,4,5}:{(1,1),(11,1),(17,1)}
        8:{1,3,6}:{(2,1),(16,1),(19,1),(20,1),(45,1)}
        9:{1,2,5}:{(2,1),(3,1),(20,1),(21,1)}
       10:{2,3}:{(3,1)}
       11:{2,3,5}:{(7,1),(22,1),(23,1),(24,1),(32,1)}
       12:{5,6,7}:{(25,1),(81,1)}
       13:{4,5,7}:{(4,1),(25,1),(26,1),(72,1),(81,1)}
       14:{3,5,6}:{(4,1),(5,1),(26,1),(27,1),(28,1)}
       15:{3,4,7}:{(5,1),(26,1),(29,1),(30,1),(57,1),(72,1)}
       16:{1,4,6}:{(5,1),(6,1),(8,1),(27,1),(29,1)}
       17:{2,4,6}:{(5,1),(7,1),(23,1),(28,1),(30,1)}
       18:{1,2,4,5}:{(6,1),(7,1),(9,1),(24,1),(31,1),(32,1),(35,1),(52,1),(60,1),(70,1),(73,1)}
       19:{1,3,7}:{(8,1),(29,1),(33,1),(57,1)}
       20:{1,2,6}:{(8,1),(9,1),(33,1),(34,1)}
       21:{2,3,5}:{(9,1),(10,1),(32,1),(34,1),(35,1),(60,1)}
       22:{2,3,4}:{(11,1),(36,1),(46,1)}
       23:{2,3,6}:{(11,1),(17,1),(37,1),(38,1),(45,1)}
       24:{1,2,5}:{(11,1),(36,1),(38,1),(39,1)}
       25:{4,6,7}:{(12,1),(13,1),(40,1)}
       26:{3,5,7}:{(13,1),(14,1),(15,1),(40,1),(41,1),(42,1)}
       27:{1,5,6}:{(14,1),(16,1),(41,1)}
       28:{2,5,6}:{(14,1),(17,1),(42,1)}
       29:{1,4,7}:{(15,1),(16,1),(19,1),(41,1)}
       30:{2,4,7}:{(15,1),(17,1),(37,1),(42,1)}
       31:{1,2,4,6}:{(16,1),(17,1),(18,1),(20,1),(38,1),(43,1),(44,1),(45,1),(48,1),(62,1),(65,1)}
       32:{3,5}:{(18,1),(45,1),(46,1)}
       33:{1,2,7}:{(19,1),(20,1),(47,1)}
       34:{2,3,6}:{(20,1),(21,1),(45,1),(47,1),(48,1)}
       35:{2,4}:{(21,1),(46,1)}
       36:{1,2,4}:{(22,1),(24,1),(49,1),(52,1)}
       37:{2,3,7}:{(23,1),(30,1),(50,1),(57,1)}
       38:{1,2,6}:{(23,1),(24,1),(50,1),(51,1)}
       39:{1,3,5}:{(24,1),(32,1),(49,1),(51,1),(52,1),(70,1)}
       40:{3,6,7}:{(25,1),(26,1),(53,1),(54,1)}
       41:{1,5,7}:{(26,1),(27,1),(29,1),(53,1)}
       42:{2,5,7}:{(26,1),(28,1),(30,1),(54,1)}
       43:{1,2,5,6}:{(27,1),(28,1),(31,1),(55,1),(56,1),(60,1),(70,1),(75,1),(80,1)}
       44:{1,2,4,7}:{(29,1),(30,1),(31,1),(33,1),(50,1),(55,1),(57,1),(59,1),(69,1),(72,1)}
       45:{3,6}:{(31,1),(32,1),(57,1)}
       46:{3,4}:{(32,1),(35,1),(52,1)}
       47:{2,3,7}:{(33,1),(34,1),(57,1),(59,1)}
       48:{2,4,6}:{(34,1),(35,1),(58,1),(59,1),(60,1),(75,1)}
       49:{1,3}:{(36,1)}
       50:{1,2,7}:{(37,1),(38,1),(61,1)}
       51:{1,3,6}:{(38,1),(39,1),(45,1),(61,1),(62,1)}
       52:{1,4}:{(39,1),(46,1)}
       53:{1,6,7}:{(40,1),(41,1)}
       54:{2,6,7}:{(40,1),(42,1)}
       55:{1,2,5,7}:{(41,1),(42,1),(43,1),(44,1),(63,1),(64,1),(68,1),(76,1)}
       56:{3,5,6}:{(43,1),(45,1),(64,1),(65,1),(67,1),(79,1),(83,1)}
       57:{3,7}:{(44,1),(45,1)}
       58:{3,4,6}:{(45,1),(46,1),(48,1),(62,1),(65,1),(66,1),(67,1),(79,1)}
       59:{2,4,7}:{(47,1),(48,1),(66,1),(68,1)}
       60:{2,5}:{(48,1),(67,1)}
       61:{1,3,7}:{(50,1),(51,1),(57,1),(69,1)}
       62:{1,4,6}:{(51,1),(52,1),(58,1),(69,1),(70,1),(80,1)}
       63:{1,2,6,7}:{(53,1),(54,1),(55,1),(71,1),(75,1),(80,1)}
       64:{3,5,7}:{(55,1),(56,1),(57,1),(71,1),(72,1),(81,1)}
       65:{4,6}:{(56,1),(72,1),(73,1)}
       66:{3,4,7}:{(57,1),(58,1),(59,1),(69,1),(72,1),(74,1)}
       67:{3,5}:{(58,1),(60,1),(70,1),(73,1)}
       68:{2,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{1,4,7}:{(61,1),(62,1),(66,1),(76,1)}
       70:{1,5}:{(62,1),(67,1)}
       71:{3,6,7}:{(63,1),(64,1),(77,1),(79,1)}
       72:{4,7}:{(64,1),(65,1)}
       73:{4,5}:{(65,1),(67,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(78,1),(79,1)}
       75:{2,6}:{(68,1),(79,1)}
       76:{1,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       78:{4,5,7}:{(72,1),(73,1),(74,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(82,1)}
       80:{1,6}:{(76,1),(79,1)}
       81:{5,7}:{(77,1),(83,1)}
       82:{4,6}:{(78,1),(79,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

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

 499 :   0:{2,4,5,6}:{(2,1),(3,1),(21,1),(79,1),(80,1)}
         1:{2,3,4,6}:{(5,1),(6,1),(7,1),(21,1),(35,1),(62,1),(75,1),(111,1),(127,1)}
         2:{3,5,6}:{(0,1),(8,1),(9,1),(11,1)}
         3:{2,4,5,7}:{(0,1),(11,1),(12,1),(41,1),(93,1),(94,1)}
         4:{3,4,5}:{(8,1),(13,1),(14,1),(50,1)}
         5:{2,3,5}:{(1,1),(14,1),(16,1),(50,1),(134,1),(150,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(19,1),(55,1),(57,1),(107,1)}
         7:{2,3,4,7}:{(1,1),(17,1),(19,1),(41,1),(90,1),(103,1),(135,1),(198,1)}
         8:{3,4,6}:{(2,1),(4,1),(20,1),(21,1),(22,1),(62,1)}
         9:{1,5,6}:{(2,1),(20,1),(24,1)}
        10:{2,3,5,6}:{(2,1),(5,1),(21,1),(23,1),(25,1),(35,1),(62,1),(79,1),(128,1)}
        11:{3,5,7}:{(2,1),(3,1),(22,1),(24,1),(26,1)}
        12:{2,4,6,7}:{(3,1),(26,1),(27,1),(71,1)}
        13:{1,4,5}:{(4,1),(20,1),(28,1)}
        14:{2,4,5}:{(4,1),(5,1),(21,1),(170,1)}
        15:{3,4,5,7}:{(4,1),(22,1),(30,1),(31,1),(32,1),(66,1),(76,1),(155,1),(160,1),(163,1),(170,1)}
        16:{1,2,5}:{(5,1),(6,1),(33,1),(130,1)}
        17:{2,3,5,7}:{(5,1),(7,1),(31,1),(34,1),(35,1),(76,1),(156,1),(187,1),(192,1)}
        18:{1,3,6}:{(6,1),(33,1),(36,1),(62,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(34,1),(36,1),(81,1),(205,1)}
        20:{1,4,6}:{(8,1),(9,1),(13,1),(38,1),(40,1)}
        21:{2,4,6}:{(8,1),(10,1),(14,1),(41,1),(151,1)}
        22:{3,4,7}:{(8,1),(11,1),(40,1),(41,1),(90,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(16,1),(39,1),(43,1),(44,1),(57,1),(134,1),(174,1)}
        24:{1,5,7}:{(9,1),(11,1),(40,1),(45,1)}
        25:{2,3,5,7}:{(10,1),(11,1),(41,1),(44,1),(46,1),(90,1),(93,1),(141,1)}
        26:{3,6,7}:{(11,1),(12,1),(45,1)}
        27:{2,5,6,7}:{(12,1),(47,1),(93,1),(145,1)}
        28:{1,3,5}:{(13,1),(37,1),(38,1),(48,1),(50,1)}
        29:{1,2,4,5}:{(13,1),(14,1),(16,1),(39,1),(48,1),(50,1),(55,1),(95,1),(99,1),(134,1)}
        30:{1,4,5,7}:{(13,1),(15,1),(40,1),(49,1),(52,1),(92,1),(133,1),(138,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(17,1),(41,1),(53,1),(93,1),(173,1),(178,1)}
        32:{3,4,6}:{(15,1),(52,1),(53,1),(54,1),(104,1),(151,1)}
        33:{1,3,5}:{(16,1),(18,1),(50,1),(55,1)}
        34:{1,2,5,7}:{(16,1),(17,1),(19,1),(56,1),(57,1),(199,1),(203,1)}
        35:{2,3,6}:{(17,1),(53,1),(57,1),(104,1),(174,1)}
        36:{1,3,7}:{(18,1),(19,1),(90,1),(208,1)}
        37:{1,3,4}:{(28,1),(58,1),(75,1)}
        38:{1,3,6}:{(20,1),(28,1),(60,1),(61,1),(62,1)}
        39:{1,2,4,6}:{(20,1),(21,1),(23,1),(29,1),(60,1),(62,1),(63,1),(67,1),(111,1)}
        40:{1,4,7}:{(20,1),(22,1),(24,1),(61,1)}
        41:{2,4,7}:{(21,1),(22,1),(25,1),(163,1)}
        42:{3,4,6,7}:{(22,1),(26,1),(32,1),(64,1),(65,1),(66,1),(71,1),(117,1),(122,1),(160,1),(163,1)}
        43:{1,3,5,6}:{(23,1),(33,1),(62,1),(67,1),(68,1),(82,1),(115,1),(128,1),(130,1),(161,1),(165,1)}
        44:{1,2,5,7}:{(23,1),(24,1),(25,1),(63,1),(68,1),(69,1),(156,1)}
        45:{1,6,7}:{(24,1),(26,1)}
        46:{2,3,6,7}:{(25,1),(26,1),(35,1),(65,1),(69,1),(117,1),(192,1)}
        47:{3,5,6,7}:{(26,1),(27,1),(66,1),(70,1),(71,1),(122,1)}
        48:{1,2,5}:{(28,1),(58,1),(60,1),(72,1)}
        49:{1,3,5,7}:{(28,1),(30,1),(59,1),(61,1),(73,1),(74,1),(76,1),(110,1),(207,1)}
        50:{3,5}:{(29,1),(62,1),(75,1)}
        51:{1,2,4,5,7}:{(29,1),(30,1),(31,1),(34,1),(63,1),(73,1),(76,1),(77,1),(81,1),(118,1),(120,1),(123,1),(130,1),(154,1),(156,1),(159,1),(163,1),(166,1),(170,1),(189,1),(207,1)}
        52:{1,4,6}:{(30,1),(32,1),(74,1),(78,1)}
        53:{2,4,6}:{(31,1),(32,1),(35,1),(79,1)}
        54:{3,5,6}:{(32,1),(66,1),(78,1),(79,1),(80,1)}
        55:{1,4}:{(33,1),(75,1)}
        56:{1,3,5,7}:{(33,1),(34,1),(36,1),(76,1),(81,1),(82,1),(130,1),(186,1),(191,1),(207,1)}
        57:{1,2,6}:{(34,1),(35,1),(82,1)}
        58:{1,2,4}:{(37,1),(48,1),(83,1),(99,1)}
        59:{1,3,4,7}:{(37,1),(49,1),(84,1),(85,1),(103,1),(138,1),(177,1),(202,1)}
        60:{1,2,6}:{(38,1),(48,1),(86,1),(87,1)}
        61:{1,3,7}:{(38,1),(40,1),(87,1),(90,1)}
        62:{3,6}:{(39,1),(50,1),(90,1)}
        63:{1,2,4,7}:{(39,1),(40,1),(41,1),(44,1),(87,1),(90,1),(96,1),(135,1)}
        64:{1,4,6,7}:{(40,1),(42,1),(45,1),(52,1),(88,1),(92,1),(138,1)}
        65:{2,4,6,7}:{(41,1),(42,1),(46,1),(53,1),(93,1),(145,1),(178,1)}
        66:{3,5,7}:{(42,1),(54,1),(92,1),(93,1),(94,1)}
        67:{1,4,6}:{(43,1),(55,1),(89,1),(95,1),(96,1),(151,1)}
        68:{1,3,5,7}:{(43,1),(44,1),(90,1),(96,1),(97,1),(139,1),(141,1),(144,1)}
        69:{1,2,6,7}:{(44,1),(45,1),(46,1),(57,1),(97,1),(174,1),(203,1)}
        70:{1,5,6,7}:{(45,1),(47,1),(92,1),(98,1)}
        71:{4,6,7}:{(47,1),(94,1)}
        72:{2,3,5}:{(48,1),(50,1),(83,1),(86,1),(99,1),(134,1)}
        73:{1,2,5,7}:{(48,1),(49,1),(84,1),(87,1),(100,1),(101,1),(132,1)}
        74:{1,3,6}:{(49,1),(52,1),(101,1),(104,1),(209,1)}
        75:{3,4}:{(50,1),(55,1),(99,1)}
        76:{3,5,7}:{(50,1),(51,1),(90,1),(103,1),(104,1),(150,1),(172,1),(177,1)}
        77:{1,2,4,6}:{(51,1),(52,1),(53,1),(57,1),(101,1),(104,1),(105,1),(107,1),(143,1),(146,1),(151,1),(174,1),(200,1),(209,1)}
        78:{1,5,6}:{(52,1),(54,1),(92,1)}
        79:{2,5,6}:{(53,1),(54,1),(93,1)}
        80:{4,5,6}:{(54,1),(94,1),(151,1)}
        81:{1,4,7}:{(55,1),(56,1),(103,1),(107,1),(197,1)}
        82:{1,3,6}:{(56,1),(57,1),(104,1),(107,1),(209,1)}
        83:{2,3}:{(58,1)}
        84:{1,2,4,7}:{(58,1),(59,1),(73,1),(108,1),(109,1),(123,1)}
        85:{1,3,4,6}:{(59,1),(74,1),(109,1),(110,1),(126,1),(127,1),(168,1),(185,1),(195,1)}
        86:{2,3,6}:{(60,1),(62,1),(72,1),(111,1),(112,1)}
        87:{1,2,7}:{(60,1),(61,1),(112,1)}
        88:{1,3,6,7}:{(61,1),(64,1),(74,1),(113,1),(114,1),(117,1),(122,1)}
        89:{3,4,6}:{(62,1),(67,1),(75,1),(111,1),(115,1),(116,1),(161,1)}
        90:{3,7}:{(62,1),(63,1)}
        91:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(69,1),(77,1),(113,1),(117,1),(118,1),(121,1),(157,1),(159,1),(163,1)}
        92:{1,5,7}:{(64,1),(66,1),(78,1)}
        93:{2,5,7}:{(65,1),(66,1),(79,1)}
        94:{4,5,7}:{(66,1),(71,1),(80,1),(163,1)}
        95:{1,4,5}:{(67,1),(115,1),(130,1),(170,1)}
        96:{1,4,7}:{(67,1),(68,1),(116,1),(163,1)}
        97:{1,3,6,7}:{(68,1),(69,1),(82,1),(117,1),(121,1),(161,1),(191,1)}
        98:{1,4,6,7}:{(70,1),(71,1),(119,1),(122,1)}
        99:{2,4}:{(72,1),(75,1)}
       100:{2,3,5,7}:{(72,1),(73,1),(76,1),(108,1),(112,1),(123,1),(124,1),(153,1),(156,1),(166,1)}
       101:{1,2,6}:{(73,1),(74,1),(124,1)}
       102:{1,3,5,6}:{(74,1),(78,1),(110,1),(114,1),(125,1),(126,1),(128,1),(129,1),(168,1)}
       103:{3,4,7}:{(75,1),(76,1),(81,1),(123,1),(127,1),(163,1),(185,1)}
       104:{3,6}:{(76,1),(77,1)}
       105:{1,2,5,6}:{(77,1),(78,1),(79,1),(118,1),(128,1),(130,1),(165,1),(166,1),(188,1)}
       106:{1,4,5,6}:{(78,1),(80,1),(119,1),(126,1),(129,1)}
       107:{1,4,6}:{(81,1),(82,1),(127,1),(130,1)}
       108:{2,3,7}:{(83,1),(84,1),(131,1),(177,1)}
       109:{1,2,4,6}:{(84,1),(85,1),(101,1),(131,1),(132,1),(146,1),(171,1)}
       110:{1,3,5}:{(85,1),(132,1),(133,1),(150,1),(172,1),(204,1)}
       111:{2,4,6}:{(86,1),(89,1),(99,1),(134,1),(135,1),(174,1)}
       112:{2,3,7}:{(86,1),(87,1),(90,1),(135,1)}
       113:{1,2,6,7}:{(87,1),(88,1),(101,1),(136,1),(137,1),(145,1),(209,1)}
       114:{1,3,5,7}:{(88,1),(92,1),(102,1),(137,1),(138,1),(141,1),(142,1),(177,1)}
       115:{3,5}:{(89,1),(95,1),(134,1)}
       116:{3,4,7}:{(89,1),(90,1),(96,1),(135,1),(139,1)}
       117:{3,6,7}:{(90,1),(91,1),(104,1),(141,1),(177,1)}
       118:{1,2,5,7}:{(91,1),(92,1),(93,1),(105,1),(141,1),(144,1),(175,1)}
       119:{1,4,5,7}:{(92,1),(94,1),(98,1),(106,1),(138,1),(142,1)}
       120:{1,4,5,7}:{(95,1),(96,1),(139,1),(143,1),(144,1),(180,1)}
       121:{1,4,6,7}:{(96,1),(97,1),(107,1),(140,1),(143,1),(144,1),(202,1),(209,1)}
       122:{3,6,7}:{(98,1),(142,1),(145,1)}
       123:{2,4,7}:{(99,1),(100,1),(103,1),(146,1),(171,1)}
       124:{2,3,6}:{(100,1),(101,1),(104,1),(146,1),(174,1)}
       125:{1,2,5,6}:{(101,1),(102,1),(132,1),(137,1),(147,1),(148,1),(152,1),(204,1),(209,1)}
       126:{1,4,6}:{(102,1),(133,1),(138,1),(149,1),(151,1)}
       127:{3,4,6}:{(103,1),(104,1),(107,1),(146,1),(150,1),(151,1)}
       128:{3,5,6}:{(104,1),(105,1),(141,1),(150,1),(151,1)}
       129:{3,5,6}:{(106,1),(142,1),(149,1),(152,1)}
       130:{1,5}:{(107,1),(150,1)}
       131:{2,3,6}:{(108,1),(109,1),(153,1),(168,1)}
       132:{1,2,5}:{(109,1),(110,1),(153,1),(166,1)}
       133:{1,4,5}:{(110,1),(126,1),(155,1),(170,1)}
       134:{2,5}:{(111,1),(115,1)}
       135:{2,4,7}:{(111,1),(112,1),(116,1),(156,1)}
       136:{2,3,6,7}:{(112,1),(113,1),(117,1),(124,1),(157,1),(158,1),(206,1)}
       137:{1,2,5,7}:{(113,1),(114,1),(125,1),(158,1),(159,1),(164,1),(207,1)}
       138:{1,4,7}:{(114,1),(126,1),(160,1),(163,1)}
       139:{3,5,7}:{(115,1),(116,1),(120,1),(156,1),(161,1)}
       140:{3,4,6,7}:{(116,1),(117,1),(121,1),(127,1),(157,1),(161,1),(162,1),(163,1),(190,1),(193,1),(206,1)}
       141:{3,5,7}:{(117,1),(118,1),(128,1),(163,1)}
       142:{3,5,7}:{(119,1),(122,1),(129,1),(160,1),(164,1)}
       143:{1,4,6}:{(120,1),(161,1),(165,1),(193,1)}
       144:{1,5,7}:{(121,1),(130,1),(162,1),(165,1)}
       145:{2,6,7}:{(122,1),(164,1)}
       146:{2,4,6}:{(123,1),(124,1),(127,1),(166,1)}
       147:{2,3,5,6}:{(124,1),(125,1),(128,1),(153,1),(158,1),(166,1),(167,1),(168,1),(188,1),(194,1),(206,1)}
       148:{1,2,4,6}:{(125,1),(126,1),(154,1),(159,1),(167,1),(168,1),(169,1),(195,1),(196,1)}
       149:{3,4,6}:{(126,1),(129,1),(155,1),(160,1),(168,1),(169,1)}
       150:{3,5}:{(127,1),(130,1),(166,1),(170,1)}
       151:{4,6}:{(128,1),(163,1),(170,1)}
       152:{2,5,6}:{(129,1),(164,1),(169,1)}
       153:{2,3,5}:{(131,1),(132,1),(171,1),(172,1)}
       154:{1,2,4,5}:{(132,1),(133,1),(148,1),(171,1),(172,1),(173,1),(181,1),(197,1),(199,1),(204,1)}
       155:{3,4,5}:{(133,1),(149,1),(172,1),(173,1)}
       156:{2,5,7}:{(134,1),(135,1),(139,1),(174,1)}
       157:{2,4,6,7}:{(135,1),(136,1),(140,1),(146,1),(174,1),(175,1),(176,1),(200,1)}
       158:{2,3,5,7}:{(136,1),(137,1),(141,1),(147,1),(175,1),(176,1),(177,1),(201,1)}
       159:{1,2,4,7}:{(137,1),(138,1),(148,1),(176,1),(177,1),(178,1),(202,1),(203,1)}
       160:{3,4,7}:{(138,1),(142,1),(149,1),(177,1),(178,1)}
       161:{3,6}:{(139,1),(143,1),(174,1)}
       162:{3,5,7}:{(140,1),(144,1),(150,1),(175,1),(179,1),(180,1)}
       163:{4,7}:{(141,1),(151,1)}
       164:{2,5,7}:{(142,1),(145,1),(152,1),(178,1)}
       165:{1,5,6}:{(143,1),(144,1),(179,1),(209,1)}
       166:{2,5}:{(146,1),(150,1)}
       167:{2,4,6}:{(147,1),(151,1),(171,1),(176,1),(181,1),(182,1)}
       168:{3,6}:{(148,1),(172,1),(177,1)}
       169:{2,4,6}:{(149,1),(152,1),(173,1),(178,1),(184,1)}
       170:{4,5}:{(150,1),(151,1)}
       171:{2,4}:{(153,1),(185,1)}
       172:{3,5}:{(154,1),(168,1),(185,1)}
       173:{2,4,5}:{(155,1),(169,1),(187,1)}
       174:{2,6}:{(156,1),(161,1)}
       175:{2,5,7}:{(157,1),(162,1),(166,1),(188,1)}
       176:{2,4,7}:{(158,1),(163,1),(167,1),(190,1)}
       177:{3,7}:{(159,1),(168,1)}
       178:{2,4,7}:{(160,1),(164,1),(169,1),(192,1)}
       179:{3,5,6}:{(161,1),(162,1),(165,1),(188,1),(193,1),(206,1)}
       180:{4,5,7}:{(162,1),(163,1),(170,1),(193,1)}
       181:{2,4,5}:{(166,1),(167,1),(170,1),(194,1)}
       182:{3,4,6}:{(167,1),(168,1),(185,1),(190,1),(194,1),(195,1),(206,1)}
       183:{1,3,6}:{(168,1),(186,1),(191,1),(195,1),(196,1)}
       184:{2,3,6}:{(168,1),(169,1),(187,1),(192,1),(196,1)}
       185:{3,4}:{(171,1),(172,1),(197,1)}
       186:{1,3,5}:{(172,1),(183,1),(197,1),(199,1),(204,1),(208,1)}
       187:{2,3,5}:{(172,1),(173,1),(184,1),(198,1),(199,1)}
       188:{2,5,6}:{(174,1),(175,1),(179,1),(200,1)}
       189:{2,4,5,7}:{(175,1),(176,1),(180,1),(181,1),(200,1),(201,1)}
       190:{3,4,7}:{(176,1),(177,1),(182,1),(201,1),(202,1)}
       191:{1,3,7}:{(177,1),(183,1),(202,1),(203,1)}
       192:{2,3,7}:{(177,1),(178,1),(184,1),(203,1)}
       193:{4,6}:{(179,1),(180,1)}
       194:{3,5}:{(181,1),(182,1),(204,1)}
       195:{1,4,6}:{(182,1),(183,1),(197,1),(202,1),(204,1),(209,1)}
       196:{1,2,6}:{(183,1),(184,1),(199,1),(203,1)}
       197:{1,4}:{(185,1),(186,1)}
       198:{2,3,4}:{(185,1),(187,1),(205,1)}
       199:{1,2,5}:{(186,1),(187,1),(196,1),(205,1)}
       200:{2,4,6}:{(188,1),(189,1),(193,1),(206,1)}
       201:{3,5,7}:{(189,1),(190,1),(194,1),(206,1),(207,1)}
       202:{1,4,7}:{(190,1),(191,1),(195,1),(207,1)}
       203:{1,2,7}:{(191,1),(192,1),(196,1)}
       204:{1,5}:{(194,1),(195,1)}
       205:{1,2,4}:{(197,1),(198,1),(199,1),(208,1)}
       206:{3,6}:{(200,1),(201,1),(209,1)}
       207:{1,5,7}:{(201,1),(202,1),(204,1),(209,1)}
       208:{1,3}:{(205,1)}
       209:{1,6}:{(206,1),(207,1)}

 500 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(57,1),(64,1),(125,1),(178,1),(197,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(7,1),(31,1),(32,1),(45,1),(95,1),(136,1),(140,1),(148,1),(151,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(12,1),(32,1),(184,1),(189,1),(195,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(39,1),(205,1)}
         4:{2,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(42,1),(88,1),(98,1),(100,1),(158,1)}
         5:{1,4,5,7}:{(1,1),(13,1),(16,1),(54,1),(71,1),(105,1),(108,1),(126,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(17,1),(25,1),(55,1),(64,1),(163,1),(167,1)}
         7:{3,4,6}:{(1,1),(16,1),(17,1),(18,1),(58,1),(120,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(20,1),(21,1),(24,1),(198,1),(202,1)}
         9:{2,3,6}:{(2,1),(17,1),(21,1),(58,1),(204,1)}
        10:{1,3,7}:{(3,1),(23,1),(125,1),(208,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(21,1),(23,1),(24,1),(65,1),(69,1)}
        12:{2,3,5}:{(4,1),(24,1),(25,1),(70,1),(119,1),(180,1)}
        13:{1,3,5,7}:{(5,1),(26,1),(27,1),(28,1),(32,1),(74,1),(101,1),(155,1),(207,1)}
        14:{3,4,6,7}:{(7,1),(29,1),(30,1),(31,1),(83,1),(84,1),(95,1),(140,1),(145,1),(146,1),(148,1)}
        15:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(27,1),(32,1),(33,1),(39,1),(44,1),(77,1),(85,1),(94,1),(96,1),(135,1),(139,1),(141,1),(148,1),(151,1),(153,1),(186,1),(195,1),(207,1)}
        16:{1,4,6}:{(5,1),(7,1),(28,1),(34,1)}
        17:{2,4,6}:{(6,1),(7,1),(9,1),(35,1)}
        18:{3,5,6}:{(7,1),(31,1),(34,1),(35,1),(36,1)}
        19:{2,3,6,7}:{(9,1),(30,1),(37,1),(38,1),(84,1),(146,1),(189,1)}
        20:{1,3,5,7}:{(8,1),(10,1),(32,1),(39,1),(40,1),(43,1),(96,1),(183,1),(188,1),(207,1)}
        21:{1,2,6}:{(8,1),(9,1),(40,1)}
        22:{2,3,5,6}:{(9,1),(12,1),(35,1),(38,1),(41,1),(42,1),(89,1),(91,1),(98,1)}
        23:{1,3,6}:{(10,1),(11,1),(43,1),(98,1)}
        24:{1,2,5}:{(11,1),(12,1),(43,1),(96,1)}
        25:{2,4,5}:{(12,1),(42,1),(45,1),(151,1)}
        26:{1,3,4,7}:{(13,1),(46,1),(47,1),(57,1),(108,1),(131,1),(166,1),(201,1)}
        27:{1,2,5,7}:{(13,1),(46,1),(49,1),(50,1),(104,1),(133,1),(179,1)}
        28:{1,3,6}:{(13,1),(16,1),(50,1),(58,1),(209,1)}
        29:{1,4,6,7}:{(14,1),(16,1),(48,1),(54,1),(108,1),(126,1),(173,1)}
        30:{2,4,6,7}:{(14,1),(17,1),(19,1),(55,1),(64,1),(167,1),(172,1)}
        31:{3,5,7}:{(14,1),(18,1),(54,1),(55,1),(56,1)}
        32:{3,5,7}:{(15,1),(57,1),(58,1),(70,1),(119,1),(125,1),(162,1),(166,1)}
        33:{1,2,4,6}:{(15,1),(16,1),(17,1),(21,1),(50,1),(58,1),(59,1),(65,1),(109,1),(120,1),(176,1),(199,1),(204,1),(209,1)}
        34:{1,5,6}:{(16,1),(18,1),(54,1)}
        35:{2,5,6}:{(17,1),(18,1),(55,1)}
        36:{4,5,6}:{(18,1),(56,1),(120,1)}
        37:{1,2,6,7}:{(19,1),(21,1),(62,1),(63,1),(173,1),(202,1),(204,1)}
        38:{2,3,5,7}:{(19,1),(22,1),(55,1),(63,1),(64,1),(116,1),(118,1),(125,1)}
        39:{1,4,7}:{(20,1),(57,1),(65,1),(69,1),(196,1)}
        40:{1,3,6}:{(20,1),(21,1),(58,1),(65,1),(209,1)}
        41:{1,2,5,6}:{(21,1),(22,1),(24,1),(63,1),(66,1),(67,1),(122,1),(180,1),(204,1)}
        42:{2,4,6}:{(22,1),(25,1),(64,1),(68,1),(120,1)}
        43:{1,3,5}:{(23,1),(24,1),(69,1),(70,1)}
        44:{1,2,4,5}:{(24,1),(25,1),(67,1),(69,1),(70,1),(71,1),(127,1),(132,1),(133,1),(180,1)}
        45:{3,4,5}:{(25,1),(68,1),(70,1),(71,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(72,1),(73,1),(77,1),(160,1)}
        47:{1,3,4,6}:{(26,1),(28,1),(73,1),(74,1),(80,1),(88,1),(143,1),(182,1),(191,1)}
        48:{1,3,6,7}:{(28,1),(29,1),(75,1),(76,1),(84,1),(145,1),(155,1)}
        49:{2,3,5,7}:{(27,1),(32,1),(72,1),(77,1),(78,1),(102,1),(134,1),(141,1),(156,1),(195,1)}
        50:{1,2,6}:{(27,1),(28,1),(78,1)}
        51:{1,3,5,6}:{(28,1),(34,1),(74,1),(76,1),(79,1),(80,1),(89,1),(90,1),(143,1)}
        52:{3,5,6,7}:{(31,1),(81,1),(82,1),(83,1),(145,1),(146,1)}
        53:{1,2,4,6,7}:{(29,1),(30,1),(33,1),(37,1),(75,1),(84,1),(85,1),(92,1),(94,1),(137,1),(139,1),(148,1)}
        54:{1,5,7}:{(29,1),(31,1),(34,1)}
        55:{2,5,7}:{(30,1),(31,1),(35,1)}
        56:{4,5,7}:{(31,1),(36,1),(83,1),(148,1)}
        57:{3,4,7}:{(32,1),(39,1),(77,1),(88,1),(100,1),(148,1),(182,1)}
        58:{3,6}:{(32,1),(33,1)}
        59:{1,2,5,6}:{(33,1),(34,1),(35,1),(85,1),(89,1),(96,1),(141,1),(152,1),(185,1)}
        60:{1,4,5,6}:{(34,1),(36,1),(80,1),(86,1),(90,1)}
        61:{2,4,5,6}:{(35,1),(36,1),(42,1),(87,1),(91,1)}
        62:{1,3,6,7}:{(37,1),(40,1),(84,1),(92,1),(93,1),(188,1),(194,1)}
        63:{1,2,5,7}:{(37,1),(38,1),(41,1),(93,1),(94,1),(150,1),(195,1)}
        64:{2,4,7}:{(38,1),(42,1),(95,1),(148,1)}
        65:{1,4,6}:{(39,1),(40,1),(88,1),(96,1)}
        66:{1,3,5,6}:{(40,1),(41,1),(43,1),(89,1),(93,1),(96,1),(97,1),(98,1),(152,1),(157,1),(194,1)}
        67:{1,2,4,6}:{(41,1),(42,1),(44,1),(94,1),(97,1),(98,1),(99,1),(158,1),(159,1)}
        68:{3,4,6}:{(42,1),(45,1),(91,1),(95,1),(98,1),(99,1)}
        69:{1,4}:{(43,1),(100,1)}
        70:{3,5}:{(44,1),(98,1),(100,1)}
        71:{1,4,5}:{(45,1),(99,1),(101,1)}
        72:{2,3,7}:{(46,1),(103,1),(166,1),(181,1)}
        73:{1,2,4,6}:{(46,1),(47,1),(50,1),(103,1),(104,1),(109,1),(161,1)}
        74:{1,3,5}:{(47,1),(104,1),(105,1),(119,1),(162,1),(203,1)}
        75:{1,2,6,7}:{(48,1),(50,1),(106,1),(107,1),(172,1),(179,1),(209,1)}
        76:{1,3,5,7}:{(48,1),(51,1),(54,1),(107,1),(108,1),(116,1),(117,1),(166,1)}
        77:{2,4,7}:{(49,1),(57,1),(109,1),(132,1),(161,1)}
        78:{2,3,6}:{(49,1),(50,1),(58,1),(109,1),(204,1)}
        79:{1,2,5,6}:{(50,1),(51,1),(104,1),(107,1),(110,1),(111,1),(121,1),(203,1),(209,1)}
        80:{1,4,6}:{(51,1),(105,1),(108,1),(112,1),(120,1)}
        81:{1,5,6,7}:{(52,1),(54,1),(113,1),(173,1)}
        82:{2,5,6,7}:{(52,1),(55,1),(114,1),(172,1)}
        83:{4,6,7}:{(52,1),(56,1)}
        84:{3,6,7}:{(53,1),(58,1),(116,1),(125,1),(166,1)}
        85:{1,2,5,7}:{(53,1),(54,1),(55,1),(59,1),(116,1),(123,1),(164,1)}
        86:{1,4,5,7}:{(54,1),(56,1),(60,1),(108,1),(113,1),(117,1)}
        87:{2,4,5,7}:{(55,1),(56,1),(61,1),(64,1),(114,1),(118,1)}
        88:{3,4,6}:{(57,1),(58,1),(65,1),(109,1),(119,1),(120,1)}
        89:{3,5,6}:{(58,1),(59,1),(116,1),(119,1),(120,1)}
        90:{3,5,6}:{(60,1),(112,1),(117,1),(121,1)}
        91:{3,5,6}:{(61,1),(68,1),(118,1),(122,1)}
        92:{1,4,6,7}:{(62,1),(65,1),(115,1),(123,1),(124,1),(176,1),(201,1),(209,1)}
        93:{1,3,5,7}:{(62,1),(63,1),(66,1),(116,1),(123,1),(124,1),(125,1),(177,1)}
        94:{1,2,4,7}:{(63,1),(64,1),(67,1),(124,1),(125,1),(126,1),(178,1),(179,1)}
        95:{3,4,7}:{(64,1),(68,1),(118,1),(125,1),(126,1)}
        96:{1,5}:{(65,1),(119,1)}
        97:{1,4,6}:{(66,1),(69,1),(120,1),(124,1),(127,1),(128,1)}
        98:{3,6}:{(67,1),(70,1),(125,1)}
        99:{1,4,6}:{(68,1),(71,1),(122,1),(126,1),(129,1)}
       100:{3,4}:{(69,1),(70,1),(132,1)}
       101:{1,3,5}:{(70,1),(71,1),(129,1),(131,1),(133,1)}
       102:{2,3,5}:{(70,1),(130,1),(132,1),(133,1),(180,1),(181,1)}
       103:{2,3,6}:{(72,1),(73,1),(134,1),(143,1)}
       104:{1,2,5}:{(73,1),(74,1),(134,1),(141,1)}
       105:{1,4,5}:{(74,1),(80,1),(136,1),(151,1)}
       106:{2,3,6,7}:{(75,1),(78,1),(84,1),(137,1),(138,1),(156,1),(206,1)}
       107:{1,2,5,7}:{(75,1),(76,1),(79,1),(138,1),(139,1),(149,1),(207,1)}
       108:{1,4,7}:{(76,1),(80,1),(140,1),(148,1)}
       109:{2,4,6}:{(77,1),(78,1),(88,1),(141,1)}
       110:{2,3,5,6}:{(78,1),(79,1),(89,1),(134,1),(138,1),(141,1),(142,1),(143,1),(185,1),(190,1),(206,1)}
       111:{1,2,4,6}:{(79,1),(80,1),(135,1),(139,1),(142,1),(143,1),(144,1),(191,1),(192,1)}
       112:{3,4,6}:{(80,1),(90,1),(136,1),(140,1),(143,1),(144,1)}
       113:{1,4,6,7}:{(81,1),(83,1),(86,1),(145,1)}
       114:{2,4,6,7}:{(82,1),(83,1),(87,1),(146,1)}
       115:{3,4,6,7}:{(84,1),(88,1),(92,1),(137,1),(147,1),(148,1),(154,1),(187,1),(193,1),(194,1),(206,1)}
       116:{3,5,7}:{(84,1),(85,1),(89,1),(148,1)}
       117:{3,5,7}:{(86,1),(90,1),(140,1),(145,1),(149,1)}
       118:{3,5,7}:{(87,1),(91,1),(95,1),(146,1),(150,1)}
       119:{3,5}:{(88,1),(96,1),(141,1),(151,1)}
       120:{4,6}:{(89,1),(148,1),(151,1)}
       121:{2,5,6}:{(90,1),(144,1),(149,1)}
       122:{1,5,6}:{(91,1),(99,1),(150,1)}
       123:{1,5,7}:{(92,1),(96,1),(147,1),(152,1)}
       124:{1,4,7}:{(93,1),(97,1),(148,1),(154,1)}
       125:{3,7}:{(94,1),(98,1)}
       126:{1,4,7}:{(95,1),(99,1),(150,1),(155,1)}
       127:{1,4,5}:{(96,1),(97,1),(151,1),(157,1)}
       128:{3,4,6}:{(97,1),(98,1),(100,1),(154,1),(157,1),(158,1),(194,1)}
       129:{1,3,6}:{(98,1),(99,1),(101,1),(155,1),(159,1)}
       130:{2,3,6}:{(98,1),(102,1),(156,1),(158,1),(159,1)}
       131:{1,3,4}:{(100,1),(101,1),(160,1)}
       132:{2,4}:{(100,1),(102,1)}
       133:{1,2,5}:{(101,1),(102,1),(159,1),(160,1)}
       134:{2,3,5}:{(103,1),(104,1),(161,1),(162,1)}
       135:{1,2,4,5}:{(104,1),(105,1),(111,1),(161,1),(162,1),(163,1),(168,1),(196,1),(198,1),(203,1)}
       136:{3,4,5}:{(105,1),(112,1),(162,1),(163,1)}
       137:{2,4,6,7}:{(106,1),(109,1),(115,1),(164,1),(165,1),(178,1),(199,1),(204,1)}
       138:{2,3,5,7}:{(106,1),(107,1),(110,1),(116,1),(164,1),(165,1),(166,1),(200,1)}
       139:{1,2,4,7}:{(107,1),(108,1),(111,1),(165,1),(166,1),(167,1),(201,1),(202,1)}
       140:{3,4,7}:{(108,1),(112,1),(117,1),(166,1),(167,1)}
       141:{2,5}:{(109,1),(119,1)}
       142:{2,4,6}:{(110,1),(120,1),(161,1),(165,1),(168,1),(169,1)}
       143:{3,6}:{(111,1),(162,1),(166,1)}
       144:{2,4,6}:{(112,1),(121,1),(163,1),(167,1),(171,1)}
       145:{3,6,7}:{(113,1),(117,1),(172,1)}
       146:{3,6,7}:{(114,1),(118,1),(173,1)}
       147:{3,5,7}:{(115,1),(119,1),(123,1),(164,1),(174,1),(175,1)}
       148:{4,7}:{(116,1),(120,1)}
       149:{2,5,7}:{(117,1),(121,1),(167,1),(172,1)}
       150:{1,5,7}:{(118,1),(122,1),(126,1),(173,1)}
       151:{4,5}:{(119,1),(120,1)}
       152:{1,5,6}:{(123,1),(174,1),(176,1),(209,1)}
       153:{1,4,5,7}:{(123,1),(124,1),(127,1),(175,1),(176,1),(177,1)}
       154:{3,4,7}:{(124,1),(125,1),(128,1),(177,1),(178,1)}
       155:{1,3,7}:{(125,1),(126,1),(129,1),(179,1)}
       156:{2,3,7}:{(125,1),(130,1),(178,1),(179,1)}
       157:{3,5}:{(127,1),(128,1),(180,1)}
       158:{2,4,6}:{(128,1),(130,1),(132,1),(178,1),(180,1),(204,1)}
       159:{1,2,6}:{(129,1),(130,1),(133,1),(179,1)}
       160:{1,2,4}:{(131,1),(132,1),(133,1),(181,1)}
       161:{2,4}:{(134,1),(182,1)}
       162:{3,5}:{(135,1),(143,1),(182,1)}
       163:{2,4,5}:{(136,1),(144,1),(184,1)}
       164:{2,5,7}:{(137,1),(141,1),(147,1),(185,1)}
       165:{2,4,7}:{(138,1),(142,1),(148,1),(187,1)}
       166:{3,7}:{(139,1),(143,1)}
       167:{2,4,7}:{(140,1),(144,1),(149,1),(189,1)}
       168:{2,4,5}:{(141,1),(142,1),(151,1),(190,1)}
       169:{3,4,6}:{(142,1),(143,1),(182,1),(187,1),(190,1),(191,1),(206,1)}
       170:{1,3,6}:{(143,1),(183,1),(188,1),(191,1),(192,1)}
       171:{2,3,6}:{(143,1),(144,1),(184,1),(189,1),(192,1)}
       172:{2,6,7}:{(145,1),(149,1)}
       173:{1,6,7}:{(146,1),(150,1)}
       174:{3,5,6}:{(147,1),(152,1),(185,1),(193,1),(194,1),(206,1)}
       175:{4,5,7}:{(147,1),(148,1),(151,1),(193,1)}
       176:{1,4,6}:{(152,1),(153,1),(193,1),(194,1)}
       177:{3,5,7}:{(153,1),(154,1),(157,1),(194,1),(195,1)}
       178:{2,4,7}:{(154,1),(156,1),(158,1),(195,1)}
       179:{1,2,7}:{(155,1),(156,1),(159,1)}
       180:{2,5}:{(157,1),(158,1)}
       181:{2,3}:{(160,1)}
       182:{3,4}:{(161,1),(162,1),(196,1)}
       183:{1,3,5}:{(162,1),(170,1),(196,1),(198,1),(203,1),(208,1)}
       184:{2,3,5}:{(162,1),(163,1),(171,1),(197,1),(198,1)}
       185:{2,5,6}:{(164,1),(174,1),(199,1),(204,1)}
       186:{2,4,5,7}:{(164,1),(165,1),(168,1),(175,1),(199,1),(200,1)}
       187:{3,4,7}:{(165,1),(166,1),(169,1),(200,1),(201,1)}
       188:{1,3,7}:{(166,1),(170,1),(201,1),(202,1)}
       189:{2,3,7}:{(166,1),(167,1),(171,1),(202,1)}
       190:{3,5}:{(168,1),(169,1),(203,1)}
       191:{1,4,6}:{(169,1),(170,1),(196,1),(201,1),(203,1),(209,1)}
       192:{1,2,6}:{(170,1),(171,1),(198,1),(202,1)}
       193:{4,6}:{(174,1),(175,1)}
       194:{3,6}:{(176,1),(177,1),(204,1)}
       195:{2,5,7}:{(177,1),(178,1),(180,1),(204,1)}
       196:{1,4}:{(182,1),(183,1)}
       197:{2,3,4}:{(182,1),(184,1),(205,1)}
       198:{1,2,5}:{(183,1),(184,1),(192,1),(205,1)}
       199:{2,4,6}:{(185,1),(186,1),(193,1),(206,1)}
       200:{3,5,7}:{(186,1),(187,1),(190,1),(206,1),(207,1)}
       201:{1,4,7}:{(187,1),(188,1),(191,1),(207,1)}
       202:{1,2,7}:{(188,1),(189,1),(192,1)}
       203:{1,5}:{(190,1),(191,1)}
       204:{2,6}:{(194,1),(195,1)}
       205:{1,2,4}:{(196,1),(197,1),(198,1),(208,1)}
       206:{3,6}:{(199,1),(200,1),(209,1)}
       207:{1,5,7}:{(200,1),(201,1),(203,1),(209,1)}
       208:{1,3}:{(205,1)}
       209:{1,6}:{(206,1),(207,1)}

 501 :  0:{2,3,4}:{(2,1),(3,1),(46,1)}
        1:{3,4,5}:{(5,1),(6,1),(7,1),(32,1),(73,1)}
        2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1),(32,1)}
        3:{1,2,4}:{(0,1),(9,1),(10,1),(35,1)}
        4:{4,5,6}:{(13,1),(14,1),(65,1),(83,1)}
        5:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(17,1),(45,1),(65,1)}
        6:{1,4,5}:{(1,1),(11,1),(16,1)}
        7:{2,4,5}:{(1,1),(2,1),(17,1)}
        8:{2,3,6}:{(2,1),(17,1),(19,1),(20,1),(45,1)}
        9:{1,2,5}:{(2,1),(3,1),(20,1),(21,1)}
       10:{1,3}:{(3,1)}
       11:{1,3,5}:{(6,1),(22,1),(23,1),(24,1),(32,1)}
       12:{5,6,7}:{(25,1),(81,1)}
       13:{4,5,7}:{(4,1),(25,1),(26,1),(72,1),(81,1)}
       14:{3,5,6}:{(4,1),(5,1),(26,1),(27,1),(28,1)}
       15:{3,4,7}:{(5,1),(26,1),(29,1),(30,1),(57,1),(72,1)}
       16:{1,4,6}:{(5,1),(6,1),(23,1),(27,1),(29,1)}
       17:{2,4,6}:{(5,1),(7,1),(8,1),(28,1),(30,1)}
       18:{1,2,4,5}:{(6,1),(7,1),(9,1),(24,1),(31,1),(32,1),(35,1),(52,1),(60,1),(70,1),(73,1)}
       19:{2,3,7}:{(8,1),(30,1),(33,1),(57,1)}
       20:{1,2,6}:{(8,1),(9,1),(33,1),(34,1)}
       21:{1,3,5}:{(9,1),(10,1),(32,1),(34,1),(35,1),(60,1)}
       22:{1,3,4}:{(11,1),(36,1),(46,1)}
       23:{1,3,6}:{(11,1),(16,1),(37,1),(38,1),(45,1)}
       24:{1,2,5}:{(11,1),(36,1),(38,1),(39,1)}
       25:{4,6,7}:{(12,1),(13,1),(40,1)}
       26:{3,5,7}:{(13,1),(14,1),(15,1),(40,1),(41,1),(42,1)}
       27:{1,5,6}:{(14,1),(16,1),(41,1)}
       28:{2,5,6}:{(14,1),(17,1),(42,1)}
       29:{1,4,7}:{(15,1),(16,1),(37,1),(41,1)}
       30:{2,4,7}:{(15,1),(17,1),(19,1),(42,1)}
       31:{1,2,4,6}:{(16,1),(17,1),(18,1),(20,1),(38,1),(43,1),(44,1),(45,1),(48,1),(62,1),(65,1)}
       32:{3,5}:{(18,1),(45,1),(46,1)}
       33:{1,2,7}:{(19,1),(20,1),(47,1)}
       34:{1,3,6}:{(20,1),(21,1),(45,1),(47,1),(48,1)}
       35:{1,4}:{(21,1),(46,1)}
       36:{1,2,4}:{(22,1),(24,1),(49,1),(52,1)}
       37:{1,3,7}:{(23,1),(29,1),(50,1),(57,1)}
       38:{1,2,6}:{(23,1),(24,1),(50,1),(51,1)}
       39:{2,3,5}:{(24,1),(32,1),(49,1),(51,1),(52,1),(70,1)}
       40:{3,6,7}:{(25,1),(26,1),(53,1),(54,1)}
       41:{1,5,7}:{(26,1),(27,1),(29,1),(53,1)}
       42:{2,5,7}:{(26,1),(28,1),(30,1),(54,1)}
       43:{1,2,5,6}:{(27,1),(28,1),(31,1),(55,1),(56,1),(60,1),(70,1),(75,1),(80,1)}
       44:{1,2,4,7}:{(29,1),(30,1),(31,1),(33,1),(50,1),(55,1),(57,1),(59,1),(69,1),(72,1)}
       45:{3,6}:{(31,1),(32,1),(57,1)}
       46:{3,4}:{(32,1),(35,1),(52,1)}
       47:{1,3,7}:{(33,1),(34,1),(57,1),(59,1)}
       48:{1,4,6}:{(34,1),(35,1),(58,1),(59,1),(60,1),(75,1)}
       49:{2,3}:{(36,1)}
       50:{1,2,7}:{(37,1),(38,1),(61,1)}
       51:{2,3,6}:{(38,1),(39,1),(45,1),(61,1),(62,1)}
       52:{2,4}:{(39,1),(46,1)}
       53:{1,6,7}:{(40,1),(41,1)}
       54:{2,6,7}:{(40,1),(42,1)}
       55:{1,2,5,7}:{(41,1),(42,1),(43,1),(44,1),(63,1),(64,1),(68,1),(76,1)}
       56:{3,5,6}:{(43,1),(45,1),(64,1),(65,1),(67,1),(79,1),(83,1)}
       57:{3,7}:{(44,1),(45,1)}
       58:{3,4,6}:{(45,1),(46,1),(48,1),(62,1),(65,1),(66,1),(67,1),(79,1)}
       59:{1,4,7}:{(47,1),(48,1),(66,1),(68,1)}
       60:{1,5}:{(48,1),(67,1)}
       61:{2,3,7}:{(50,1),(51,1),(57,1),(69,1)}
       62:{2,4,6}:{(51,1),(52,1),(58,1),(69,1),(70,1),(80,1)}
       63:{1,2,6,7}:{(53,1),(54,1),(55,1),(71,1),(75,1),(80,1)}
       64:{3,5,7}:{(55,1),(56,1),(57,1),(71,1),(72,1),(81,1)}
       65:{4,6}:{(56,1),(72,1),(73,1)}
       66:{3,4,7}:{(57,1),(58,1),(59,1),(69,1),(72,1),(74,1)}
       67:{3,5}:{(58,1),(60,1),(70,1),(73,1)}
       68:{1,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{2,4,7}:{(61,1),(62,1),(66,1),(76,1)}
       70:{2,5}:{(62,1),(67,1)}
       71:{3,6,7}:{(63,1),(64,1),(77,1),(79,1)}
       72:{4,7}:{(64,1),(65,1)}
       73:{4,5}:{(65,1),(67,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(78,1),(79,1)}
       75:{1,6}:{(68,1),(79,1)}
       76:{2,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       78:{4,5,7}:{(72,1),(73,1),(74,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(82,1)}
       80:{2,6}:{(76,1),(79,1)}
       81:{5,7}:{(77,1),(83,1)}
       82:{4,6}:{(78,1),(79,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

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

 503 :  0:{1,2,5,6}:{(2,1),(3,1),(4,1),(34,1),(35,1),(53,1),(54,1)}
        1:{1,2,4,5}:{(3,1),(5,1),(14,1),(18,1),(19,1),(23,1),(34,1),(35,1)}
        2:{3,5,6}:{(0,1),(6,1),(7,1),(9,1),(24,1),(47,1),(48,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(6,1),(9,1),(10,1),(26,1),(27,1),(31,1)}
        4:{1,2,5,7}:{(0,1),(7,1),(10,1),(11,1),(45,1),(46,1)}
        5:{3,5}:{(1,1),(8,1),(9,1)}
        6:{4,6}:{(2,1),(14,1),(16,1)}
        7:{3,5,7}:{(2,1),(4,1),(16,1),(17,1),(22,1),(41,1)}
        8:{3,4}:{(5,1),(18,1),(19,1),(42,1)}
        9:{3,6}:{(3,1),(5,1),(22,1)}
       10:{1,2,4,7}:{(3,1),(4,1),(16,1),(22,1),(39,1),(40,1),(43,1)}
       11:{1,2,6,7}:{(4,1),(17,1),(53,1),(54,1)}
       12:{1,3,5}:{(5,1),(18,1),(20,1),(23,1),(34,1),(42,1),(51,1)}
       13:{2,3,5}:{(5,1),(19,1),(21,1),(23,1),(35,1),(42,1),(51,1)}
       14:{4,5}:{(6,1),(24,1),(56,1)}
       15:{3,4,6}:{(6,1),(8,1),(9,1),(24,1),(26,1),(27,1),(28,1),(47,1),(49,1),(56,1),(61,1)}
       16:{4,7}:{(6,1),(7,1)}
       17:{3,6,7}:{(7,1),(11,1),(29,1),(47,1)}
       18:{1,4}:{(8,1),(12,1),(56,1)}
       19:{2,4}:{(8,1),(13,1),(56,1)}
       20:{1,3,6}:{(9,1),(12,1),(26,1),(31,1),(32,1),(49,1)}
       21:{2,3,6}:{(9,1),(13,1),(27,1),(31,1),(33,1),(49,1)}
       22:{3,7}:{(9,1),(10,1)}
       23:{1,2,5}:{(12,1),(13,1),(30,1),(31,1)}
       24:{3,5}:{(14,1),(15,1),(34,1),(35,1),(62,1)}
       25:{4,5,7}:{(14,1),(16,1),(36,1),(37,1),(41,1),(59,1),(62,1)}
       26:{1,4,6}:{(15,1),(18,1),(20,1),(34,1),(39,1),(53,1)}
       27:{2,4,6}:{(15,1),(19,1),(21,1),(35,1),(40,1),(54,1)}
       28:{3,4,7}:{(15,1),(16,1),(22,1),(36,1),(39,1),(40,1),(55,1),(59,1)}
       29:{4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
       30:{1,2,4}:{(18,1),(19,1),(23,1),(42,1)}
       31:{1,2,6}:{(20,1),(21,1),(23,1),(43,1)}
       32:{1,3,7}:{(20,1),(22,1),(39,1),(43,1),(55,1)}
       33:{2,3,7}:{(21,1),(22,1),(40,1),(43,1),(55,1)}
       34:{1,5}:{(24,1),(26,1)}
       35:{2,5}:{(24,1),(27,1)}
       36:{3,5,7}:{(24,1),(25,1),(28,1),(45,1),(46,1),(47,1)}
       37:{4,6}:{(25,1),(47,1),(48,1)}
       38:{1,2,4,6}:{(26,1),(27,1),(30,1),(31,1),(44,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       39:{1,4,7}:{(26,1),(28,1),(32,1),(45,1)}
       40:{2,4,7}:{(27,1),(28,1),(33,1),(46,1)}
       41:{5,7}:{(29,1),(48,1)}
       42:{3}:{(30,1)}
       43:{1,2,7}:{(31,1),(32,1),(33,1)}
       44:{1,2,5}:{(34,1),(35,1),(38,1),(51,1),(62,1)}
       45:{1,5,7}:{(34,1),(36,1),(39,1),(53,1)}
       46:{2,5,7}:{(35,1),(36,1),(40,1),(54,1)}
       47:{3,6}:{(36,1),(37,1),(53,1),(54,1)}
       48:{5,6}:{(37,1),(41,1),(62,1)}
       49:{3,6}:{(38,1),(42,1),(51,1),(55,1)}
       50:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(52,1),(55,1),(59,1)}
       51:{3,5}:{(44,1),(49,1),(56,1)}
       52:{1,2,5,7}:{(44,1),(45,1),(46,1),(50,1),(57,1),(58,1)}
       53:{1,6}:{(45,1),(47,1)}
       54:{2,6}:{(46,1),(47,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{4}:{(51,1)}
       57:{3,5,7}:{(51,1),(52,1),(55,1),(59,1),(60,1),(62,1)}
       58:{1,2,6}:{(52,1),(53,1),(54,1),(60,1)}
       59:{4,7}:{(56,1),(57,1),(61,1)}
       60:{3,6}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 504 :   0:{3,4,5,7}:{(1,1),(2,1),(3,1),(23,1),(24,1),(84,1),(87,1),(121,1),(129,1),(137,1),(140,1)}
         1:{1,4,5,7}:{(0,1),(6,1),(10,1),(45,1),(55,1),(90,1),(117,1),(158,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(11,1),(46,1),(58,1),(97,1),(114,1),(150,1)}
         3:{3,4,6}:{(0,1),(10,1),(11,1),(12,1),(49,1),(109,1)}
         4:{1,3,4,7}:{(6,1),(13,1),(14,1),(48,1),(90,1),(149,1),(170,1),(194,1)}
         5:{2,3,4,7}:{(7,1),(15,1),(16,1),(48,1),(97,1),(157,1),(168,1),(199,1)}
         6:{1,3,5,7}:{(1,1),(4,1),(17,1),(18,1),(24,1),(31,1),(145,1),(184,1),(205,1)}
         7:{2,3,5,7}:{(2,1),(5,1),(19,1),(20,1),(24,1),(34,1),(143,1),(177,1),(207,1)}
         8:{3,4,6,7}:{(3,1),(21,1),(22,1),(23,1),(73,1),(74,1),(121,1),(129,1),(134,1),(135,1),(137,1)}
         9:{1,2,4,5,7}:{(1,1),(2,1),(17,1),(19,1),(24,1),(25,1),(61,1),(67,1),(75,1),(83,1),(86,1),(120,1),(122,1),(128,1),(130,1),(137,1),(140,1),(174,1),(182,1),(205,1),(207,1)}
        10:{1,4,6}:{(1,1),(3,1),(18,1),(26,1)}
        11:{2,4,6}:{(2,1),(3,1),(20,1),(27,1)}
        12:{3,5,6}:{(3,1),(23,1),(26,1),(27,1),(28,1)}
        13:{1,2,4,7}:{(4,1),(17,1),(29,1),(30,1),(61,1),(191,1)}
        14:{1,3,4,6}:{(4,1),(18,1),(30,1),(31,1),(64,1),(78,1),(124,1),(141,1),(179,1)}
        15:{1,2,4,7}:{(5,1),(19,1),(32,1),(33,1),(67,1),(190,1)}
        16:{2,3,4,6}:{(5,1),(20,1),(33,1),(34,1),(70,1),(78,1),(132,1),(144,1),(187,1)}
        17:{1,2,5,7}:{(6,1),(13,1),(36,1),(37,1),(54,1),(172,1),(200,1)}
        18:{1,3,6}:{(6,1),(10,1),(37,1),(49,1),(208,1)}
        19:{1,2,5,7}:{(7,1),(15,1),(40,1),(41,1),(57,1),(169,1),(195,1)}
        20:{2,3,6}:{(7,1),(11,1),(41,1),(49,1),(209,1)}
        21:{1,4,6,7}:{(8,1),(10,1),(35,1),(45,1),(90,1),(158,1),(164,1)}
        22:{2,4,6,7}:{(8,1),(11,1),(39,1),(46,1),(97,1),(150,1),(163,1)}
        23:{3,5,7}:{(8,1),(12,1),(45,1),(46,1),(47,1)}
        24:{3,5,7}:{(9,1),(48,1),(49,1),(108,1),(113,1),(116,1),(149,1),(157,1)}
        25:{1,2,4,6}:{(9,1),(10,1),(11,1),(37,1),(41,1),(49,1),(50,1),(91,1),(98,1),(109,1),(192,1),(197,1),(208,1),(209,1)}
        26:{1,5,6}:{(10,1),(12,1),(45,1)}
        27:{2,5,6}:{(11,1),(12,1),(46,1)}
        28:{4,5,6}:{(12,1),(47,1),(109,1)}
        29:{2,3,7}:{(13,1),(53,1),(149,1),(203,1)}
        30:{1,2,4,6}:{(13,1),(14,1),(37,1),(53,1),(54,1),(91,1),(112,1)}
        31:{1,3,5}:{(14,1),(54,1),(55,1),(108,1),(113,1),(196,1)}
        32:{1,3,7}:{(15,1),(56,1),(157,1),(202,1)}
        33:{1,2,4,6}:{(15,1),(16,1),(41,1),(56,1),(57,1),(98,1),(115,1)}
        34:{2,3,5}:{(16,1),(57,1),(58,1),(108,1),(116,1),(201,1)}
        35:{1,3,6,7}:{(18,1),(21,1),(59,1),(60,1),(74,1),(134,1),(184,1)}
        36:{2,3,5,7}:{(17,1),(24,1),(29,1),(61,1),(62,1),(82,1),(122,1),(146,1),(185,1),(207,1)}
        37:{1,2,6}:{(17,1),(18,1),(62,1)}
        38:{1,3,5,6}:{(18,1),(26,1),(31,1),(60,1),(63,1),(64,1),(79,1),(80,1),(124,1)}
        39:{2,3,6,7}:{(20,1),(22,1),(65,1),(66,1),(74,1),(135,1),(177,1)}
        40:{1,3,5,7}:{(19,1),(24,1),(32,1),(67,1),(68,1),(85,1),(130,1),(142,1),(176,1),(205,1)}
        41:{1,2,6}:{(19,1),(20,1),(68,1)}
        42:{2,3,5,6}:{(20,1),(27,1),(34,1),(66,1),(69,1),(70,1),(79,1),(81,1),(132,1)}
        43:{3,5,6,7}:{(23,1),(71,1),(72,1),(73,1),(134,1),(135,1)}
        44:{1,2,4,6,7}:{(21,1),(22,1),(25,1),(59,1),(65,1),(74,1),(75,1),(118,1),(120,1),(126,1),(128,1),(137,1)}
        45:{1,5,7}:{(21,1),(23,1),(26,1)}
        46:{2,5,7}:{(22,1),(23,1),(27,1)}
        47:{4,5,7}:{(23,1),(28,1),(73,1),(137,1)}
        48:{3,4,7}:{(24,1),(61,1),(67,1),(78,1),(137,1),(141,1),(144,1)}
        49:{3,6}:{(24,1),(25,1)}
        50:{1,2,5,6}:{(25,1),(26,1),(27,1),(75,1),(79,1),(122,1),(130,1),(173,1),(181,1)}
        51:{1,4,5,6}:{(26,1),(28,1),(64,1),(76,1),(80,1)}
        52:{2,4,5,6}:{(27,1),(28,1),(70,1),(77,1),(81,1)}
        53:{2,3,6}:{(29,1),(30,1),(82,1),(124,1)}
        54:{1,2,5}:{(30,1),(31,1),(82,1),(122,1)}
        55:{1,4,5}:{(31,1),(64,1),(84,1),(140,1)}
        56:{1,3,6}:{(32,1),(33,1),(85,1),(132,1)}
        57:{1,2,5}:{(33,1),(34,1),(85,1),(130,1)}
        58:{2,4,5}:{(34,1),(70,1),(87,1),(140,1)}
        59:{1,2,6,7}:{(35,1),(37,1),(88,1),(89,1),(163,1),(200,1),(208,1)}
        60:{1,3,5,7}:{(35,1),(38,1),(45,1),(89,1),(90,1),(105,1),(106,1),(149,1)}
        61:{2,4,7}:{(36,1),(48,1),(91,1),(112,1),(171,1)}
        62:{2,3,6}:{(36,1),(37,1),(49,1),(91,1),(209,1)}
        63:{1,2,5,6}:{(37,1),(38,1),(54,1),(89,1),(92,1),(93,1),(110,1),(196,1),(208,1)}
        64:{1,4,6}:{(38,1),(55,1),(90,1),(94,1),(109,1)}
        65:{1,2,6,7}:{(39,1),(41,1),(95,1),(96,1),(164,1),(195,1),(209,1)}
        66:{2,3,5,7}:{(39,1),(42,1),(46,1),(96,1),(97,1),(105,1),(107,1),(157,1)}
        67:{1,4,7}:{(40,1),(48,1),(98,1),(115,1),(167,1)}
        68:{1,3,6}:{(40,1),(41,1),(49,1),(98,1),(208,1)}
        69:{1,2,5,6}:{(41,1),(42,1),(57,1),(96,1),(99,1),(100,1),(111,1),(201,1),(209,1)}
        70:{2,4,6}:{(42,1),(58,1),(97,1),(101,1),(109,1)}
        71:{1,5,6,7}:{(43,1),(45,1),(102,1),(164,1)}
        72:{2,5,6,7}:{(43,1),(46,1),(103,1),(163,1)}
        73:{4,6,7}:{(43,1),(47,1)}
        74:{3,6,7}:{(44,1),(49,1),(105,1),(149,1),(157,1)}
        75:{1,2,5,7}:{(44,1),(45,1),(46,1),(50,1),(105,1),(147,1),(155,1)}
        76:{1,4,5,7}:{(45,1),(47,1),(51,1),(90,1),(102,1),(106,1)}
        77:{2,4,5,7}:{(46,1),(47,1),(52,1),(97,1),(103,1),(107,1)}
        78:{3,4,6}:{(48,1),(49,1),(91,1),(98,1),(108,1),(109,1)}
        79:{3,5,6}:{(49,1),(50,1),(105,1),(108,1),(109,1)}
        80:{3,5,6}:{(51,1),(94,1),(106,1),(110,1)}
        81:{3,5,6}:{(52,1),(101,1),(107,1),(111,1)}
        82:{2,3,5}:{(53,1),(54,1),(112,1),(113,1)}
        83:{1,2,4,5}:{(54,1),(55,1),(93,1),(112,1),(113,1),(114,1),(151,1),(167,1),(169,1),(196,1)}
        84:{3,4,5}:{(55,1),(94,1),(113,1),(114,1)}
        85:{1,3,5}:{(56,1),(57,1),(115,1),(116,1)}
        86:{1,2,4,5}:{(57,1),(58,1),(100,1),(115,1),(116,1),(117,1),(159,1),(171,1),(172,1),(201,1)}
        87:{3,4,5}:{(58,1),(101,1),(116,1),(117,1)}
        88:{2,3,6,7}:{(59,1),(62,1),(74,1),(118,1),(119,1),(185,1),(204,1)}
        89:{1,2,5,7}:{(59,1),(60,1),(63,1),(119,1),(120,1),(138,1),(205,1)}
        90:{1,4,7}:{(60,1),(64,1),(121,1),(137,1)}
        91:{2,4,6}:{(61,1),(62,1),(78,1),(122,1)}
        92:{2,3,5,6}:{(62,1),(63,1),(79,1),(82,1),(119,1),(122,1),(123,1),(124,1),(173,1),(178,1),(204,1)}
        93:{1,2,4,6}:{(63,1),(64,1),(83,1),(120,1),(123,1),(124,1),(125,1),(179,1),(180,1)}
        94:{3,4,6}:{(64,1),(80,1),(84,1),(121,1),(124,1),(125,1)}
        95:{1,3,6,7}:{(65,1),(68,1),(74,1),(126,1),(127,1),(176,1),(206,1)}
        96:{1,2,5,7}:{(65,1),(66,1),(69,1),(127,1),(128,1),(139,1),(207,1)}
        97:{2,4,7}:{(66,1),(70,1),(129,1),(137,1)}
        98:{1,4,6}:{(67,1),(68,1),(78,1),(130,1)}
        99:{1,3,5,6}:{(68,1),(69,1),(79,1),(85,1),(127,1),(130,1),(131,1),(132,1),(181,1),(186,1),(206,1)}
       100:{1,2,4,6}:{(69,1),(70,1),(86,1),(128,1),(131,1),(132,1),(133,1),(187,1),(188,1)}
       101:{3,4,6}:{(70,1),(81,1),(87,1),(129,1),(132,1),(133,1)}
       102:{1,4,6,7}:{(71,1),(73,1),(76,1),(134,1)}
       103:{2,4,6,7}:{(72,1),(73,1),(77,1),(135,1)}
       104:{3,4,6,7}:{(74,1),(78,1),(118,1),(126,1),(136,1),(137,1),(175,1),(183,1),(189,1),(204,1),(206,1)}
       105:{3,5,7}:{(74,1),(75,1),(79,1),(137,1)}
       106:{3,5,7}:{(76,1),(80,1),(121,1),(134,1),(138,1)}
       107:{3,5,7}:{(77,1),(81,1),(129,1),(135,1),(139,1)}
       108:{3,5}:{(78,1),(122,1),(130,1),(140,1)}
       109:{4,6}:{(79,1),(137,1),(140,1)}
       110:{2,5,6}:{(80,1),(125,1),(138,1)}
       111:{1,5,6}:{(81,1),(133,1),(139,1)}
       112:{2,4}:{(82,1),(141,1)}
       113:{3,5}:{(83,1),(124,1),(141,1)}
       114:{2,4,5}:{(84,1),(125,1),(143,1)}
       115:{1,4}:{(85,1),(144,1)}
       116:{3,5}:{(86,1),(132,1),(144,1)}
       117:{1,4,5}:{(87,1),(133,1),(145,1)}
       118:{2,4,6,7}:{(88,1),(91,1),(104,1),(147,1),(148,1),(192,1),(199,1),(209,1)}
       119:{2,3,5,7}:{(88,1),(89,1),(92,1),(105,1),(147,1),(148,1),(149,1),(193,1)}
       120:{1,2,4,7}:{(89,1),(90,1),(93,1),(148,1),(149,1),(150,1),(194,1),(195,1)}
       121:{3,4,7}:{(90,1),(94,1),(106,1),(149,1),(150,1)}
       122:{2,5}:{(91,1),(108,1)}
       123:{2,4,6}:{(92,1),(109,1),(112,1),(148,1),(151,1),(152,1)}
       124:{3,6}:{(93,1),(113,1),(149,1)}
       125:{2,4,6}:{(94,1),(110,1),(114,1),(150,1),(154,1)}
       126:{1,4,6,7}:{(95,1),(98,1),(104,1),(155,1),(156,1),(194,1),(197,1),(208,1)}
       127:{1,3,5,7}:{(95,1),(96,1),(99,1),(105,1),(155,1),(156,1),(157,1),(198,1)}
       128:{1,2,4,7}:{(96,1),(97,1),(100,1),(156,1),(157,1),(158,1),(199,1),(200,1)}
       129:{3,4,7}:{(97,1),(101,1),(107,1),(157,1),(158,1)}
       130:{1,5}:{(98,1),(108,1)}
       131:{1,4,6}:{(99,1),(109,1),(115,1),(156,1),(159,1),(160,1)}
       132:{3,6}:{(100,1),(116,1),(157,1)}
       133:{1,4,6}:{(101,1),(111,1),(117,1),(158,1),(161,1)}
       134:{3,6,7}:{(102,1),(106,1),(163,1)}
       135:{3,6,7}:{(103,1),(107,1),(164,1)}
       136:{3,5,7}:{(104,1),(108,1),(147,1),(155,1),(165,1),(166,1)}
       137:{4,7}:{(105,1),(109,1)}
       138:{2,5,7}:{(106,1),(110,1),(150,1),(163,1)}
       139:{1,5,7}:{(107,1),(111,1),(158,1),(164,1)}
       140:{4,5}:{(108,1),(109,1)}
       141:{3,4}:{(112,1),(113,1),(167,1)}
       142:{1,3,5}:{(113,1),(153,1),(167,1),(169,1),(196,1),(202,1)}
       143:{2,3,5}:{(113,1),(114,1),(154,1),(168,1),(169,1)}
       144:{3,4}:{(115,1),(116,1),(171,1)}
       145:{1,3,5}:{(116,1),(117,1),(161,1),(170,1),(172,1)}
       146:{2,3,5}:{(116,1),(162,1),(171,1),(172,1),(201,1),(203,1)}
       147:{2,5,7}:{(118,1),(122,1),(136,1),(173,1)}
       148:{2,4,7}:{(119,1),(123,1),(137,1),(175,1)}
       149:{3,7}:{(120,1),(124,1)}
       150:{2,4,7}:{(121,1),(125,1),(138,1),(177,1)}
       151:{2,4,5}:{(122,1),(123,1),(140,1),(178,1)}
       152:{3,4,6}:{(123,1),(124,1),(141,1),(175,1),(178,1),(179,1),(204,1)}
       153:{1,3,6}:{(124,1),(142,1),(176,1),(179,1),(180,1)}
       154:{2,3,6}:{(124,1),(125,1),(143,1),(177,1),(180,1)}
       155:{1,5,7}:{(126,1),(130,1),(136,1),(181,1)}
       156:{1,4,7}:{(127,1),(131,1),(137,1),(183,1)}
       157:{3,7}:{(128,1),(132,1)}
       158:{1,4,7}:{(129,1),(133,1),(139,1),(184,1)}
       159:{1,4,5}:{(130,1),(131,1),(140,1),(186,1)}
       160:{3,4,6}:{(131,1),(132,1),(144,1),(183,1),(186,1),(187,1),(206,1)}
       161:{1,3,6}:{(132,1),(133,1),(145,1),(184,1),(188,1)}
       162:{2,3,6}:{(132,1),(146,1),(185,1),(187,1),(188,1)}
       163:{2,6,7}:{(134,1),(138,1)}
       164:{1,6,7}:{(135,1),(139,1)}
       165:{3,5,6}:{(136,1),(173,1),(181,1),(189,1),(204,1),(206,1)}
       166:{4,5,7}:{(136,1),(137,1),(140,1),(189,1)}
       167:{1,4}:{(141,1),(142,1)}
       168:{2,3,4}:{(141,1),(143,1),(190,1)}
       169:{1,2,5}:{(142,1),(143,1),(180,1),(190,1)}
       170:{1,3,4}:{(144,1),(145,1),(191,1)}
       171:{2,4}:{(144,1),(146,1)}
       172:{1,2,5}:{(145,1),(146,1),(188,1),(191,1)}
       173:{2,5,6}:{(147,1),(165,1),(192,1),(209,1)}
       174:{2,4,5,7}:{(147,1),(148,1),(151,1),(166,1),(192,1),(193,1)}
       175:{3,4,7}:{(148,1),(149,1),(152,1),(193,1),(194,1)}
       176:{1,3,7}:{(149,1),(153,1),(194,1),(195,1)}
       177:{2,3,7}:{(149,1),(150,1),(154,1),(195,1)}
       178:{3,5}:{(151,1),(152,1),(196,1)}
       179:{1,4,6}:{(152,1),(153,1),(167,1),(194,1),(196,1),(208,1)}
       180:{1,2,6}:{(153,1),(154,1),(169,1),(195,1)}
       181:{1,5,6}:{(155,1),(165,1),(197,1),(208,1)}
       182:{1,4,5,7}:{(155,1),(156,1),(159,1),(166,1),(197,1),(198,1)}
       183:{3,4,7}:{(156,1),(157,1),(160,1),(198,1),(199,1)}
       184:{1,3,7}:{(157,1),(158,1),(161,1),(200,1)}
       185:{2,3,7}:{(157,1),(162,1),(199,1),(200,1)}
       186:{3,5}:{(159,1),(160,1),(201,1)}
       187:{2,4,6}:{(160,1),(162,1),(171,1),(199,1),(201,1),(209,1)}
       188:{1,2,6}:{(161,1),(162,1),(172,1),(200,1)}
       189:{4,6}:{(165,1),(166,1)}
       190:{1,2,4}:{(167,1),(168,1),(169,1),(202,1)}
       191:{1,2,4}:{(170,1),(171,1),(172,1),(203,1)}
       192:{2,4,6}:{(173,1),(174,1),(189,1),(204,1)}
       193:{3,5,7}:{(174,1),(175,1),(178,1),(204,1),(205,1)}
       194:{1,4,7}:{(175,1),(176,1),(179,1),(205,1)}
       195:{1,2,7}:{(176,1),(177,1),(180,1)}
       196:{1,5}:{(178,1),(179,1)}
       197:{1,4,6}:{(181,1),(182,1),(189,1),(206,1)}
       198:{3,5,7}:{(182,1),(183,1),(186,1),(206,1),(207,1)}
       199:{2,4,7}:{(183,1),(185,1),(187,1),(207,1)}
       200:{1,2,7}:{(184,1),(185,1),(188,1)}
       201:{2,5}:{(186,1),(187,1)}
       202:{1,3}:{(190,1)}
       203:{2,3}:{(191,1)}
       204:{3,6}:{(192,1),(193,1),(208,1)}
       205:{1,5,7}:{(193,1),(194,1),(196,1),(208,1)}
       206:{3,6}:{(197,1),(198,1),(209,1)}
       207:{2,5,7}:{(198,1),(199,1),(201,1),(209,1)}
       208:{1,6}:{(204,1),(205,1)}
       209:{2,6}:{(206,1),(207,1)}

 505 :  0:{3,4,5}:{(2,1),(3,1),(4,1),(29,1),(72,1)}
        1:{4,5,6}:{(10,1),(11,1),(63,1),(83,1)}
        2:{3,4,6}:{(0,1),(11,1),(12,1),(13,1),(14,1),(43,1),(63,1)}
        3:{1,4,5}:{(0,1),(7,1),(13,1)}
        4:{2,4,5}:{(0,1),(8,1),(14,1)}
        5:{1,3,4}:{(7,1),(16,1),(44,1)}
        6:{2,3,4}:{(8,1),(17,1),(44,1)}
        7:{1,3,5}:{(3,1),(5,1),(18,1),(19,1),(29,1)}
        8:{2,3,5}:{(4,1),(6,1),(20,1),(21,1),(29,1)}
        9:{5,6,7}:{(22,1),(81,1)}
       10:{4,5,7}:{(1,1),(22,1),(23,1),(71,1),(81,1)}
       11:{3,5,6}:{(1,1),(2,1),(23,1),(24,1),(25,1)}
       12:{3,4,7}:{(2,1),(23,1),(26,1),(27,1),(55,1),(71,1)}
       13:{1,4,6}:{(2,1),(3,1),(18,1),(24,1),(26,1)}
       14:{2,4,6}:{(2,1),(4,1),(20,1),(25,1),(27,1)}
       15:{1,2,4,5}:{(3,1),(4,1),(19,1),(21,1),(28,1),(29,1),(47,1),(50,1),(67,1),(69,1),(72,1)}
       16:{1,2,4}:{(5,1),(19,1),(30,1),(47,1)}
       17:{1,2,4}:{(6,1),(21,1),(31,1),(50,1)}
       18:{1,3,6}:{(7,1),(13,1),(32,1),(33,1),(43,1)}
       19:{1,2,5}:{(7,1),(16,1),(33,1),(34,1)}
       20:{2,3,6}:{(8,1),(14,1),(35,1),(36,1),(43,1)}
       21:{1,2,5}:{(8,1),(17,1),(36,1),(37,1)}
       22:{4,6,7}:{(9,1),(10,1),(38,1)}
       23:{3,5,7}:{(10,1),(11,1),(12,1),(38,1),(39,1),(40,1)}
       24:{1,5,6}:{(11,1),(13,1),(39,1)}
       25:{2,5,6}:{(11,1),(14,1),(40,1)}
       26:{1,4,7}:{(12,1),(13,1),(32,1),(39,1)}
       27:{2,4,7}:{(12,1),(14,1),(35,1),(40,1)}
       28:{1,2,4,6}:{(13,1),(14,1),(15,1),(33,1),(36,1),(41,1),(42,1),(43,1),(58,1),(60,1),(63,1)}
       29:{3,5}:{(15,1),(43,1),(44,1)}
       30:{2,3}:{(16,1)}
       31:{1,3}:{(17,1)}
       32:{1,3,7}:{(18,1),(26,1),(45,1),(55,1)}
       33:{1,2,6}:{(18,1),(19,1),(45,1),(46,1)}
       34:{2,3,5}:{(19,1),(29,1),(30,1),(46,1),(47,1),(67,1)}
       35:{2,3,7}:{(20,1),(27,1),(48,1),(55,1)}
       36:{1,2,6}:{(20,1),(21,1),(48,1),(49,1)}
       37:{1,3,5}:{(21,1),(29,1),(31,1),(49,1),(50,1),(69,1)}
       38:{3,6,7}:{(22,1),(23,1),(51,1),(52,1)}
       39:{1,5,7}:{(23,1),(24,1),(26,1),(51,1)}
       40:{2,5,7}:{(23,1),(25,1),(27,1),(52,1)}
       41:{1,2,5,6}:{(24,1),(25,1),(28,1),(53,1),(54,1),(67,1),(69,1),(79,1),(80,1)}
       42:{1,2,4,7}:{(26,1),(27,1),(28,1),(45,1),(48,1),(53,1),(55,1),(66,1),(68,1),(71,1)}
       43:{3,6}:{(28,1),(29,1),(55,1)}
       44:{3,4}:{(29,1),(47,1),(50,1)}
       45:{1,2,7}:{(32,1),(33,1),(57,1)}
       46:{2,3,6}:{(33,1),(34,1),(43,1),(57,1),(58,1)}
       47:{2,4}:{(34,1),(44,1)}
       48:{1,2,7}:{(35,1),(36,1),(59,1)}
       49:{1,3,6}:{(36,1),(37,1),(43,1),(59,1),(60,1)}
       50:{1,4}:{(37,1),(44,1)}
       51:{1,6,7}:{(38,1),(39,1)}
       52:{2,6,7}:{(38,1),(40,1)}
       53:{1,2,5,7}:{(39,1),(40,1),(41,1),(42,1),(61,1),(62,1),(74,1),(75,1)}
       54:{3,5,6}:{(41,1),(43,1),(62,1),(63,1),(65,1),(78,1),(83,1)}
       55:{3,7}:{(42,1),(43,1)}
       56:{3,4,6}:{(43,1),(44,1),(58,1),(60,1),(63,1),(64,1),(65,1),(78,1)}
       57:{2,3,7}:{(45,1),(46,1),(55,1),(66,1)}
       58:{2,4,6}:{(46,1),(47,1),(56,1),(66,1),(67,1),(79,1)}
       59:{1,3,7}:{(48,1),(49,1),(55,1),(68,1)}
       60:{1,4,6}:{(49,1),(50,1),(56,1),(68,1),(69,1),(80,1)}
       61:{1,2,6,7}:{(51,1),(52,1),(53,1),(70,1),(79,1),(80,1)}
       62:{3,5,7}:{(53,1),(54,1),(55,1),(70,1),(71,1),(81,1)}
       63:{4,6}:{(54,1),(71,1),(72,1)}
       64:{3,4,7}:{(55,1),(56,1),(66,1),(68,1),(71,1),(73,1)}
       65:{3,5}:{(56,1),(67,1),(69,1),(72,1)}
       66:{2,4,7}:{(57,1),(58,1),(64,1),(74,1)}
       67:{2,5}:{(58,1),(65,1)}
       68:{1,4,7}:{(59,1),(60,1),(64,1),(75,1)}
       69:{1,5}:{(60,1),(65,1)}
       70:{3,6,7}:{(61,1),(62,1),(76,1),(78,1)}
       71:{4,7}:{(62,1),(63,1)}
       72:{4,5}:{(63,1),(65,1)}
       73:{3,5,7}:{(64,1),(65,1),(74,1),(75,1),(77,1),(78,1)}
       74:{2,5,7}:{(66,1),(67,1),(73,1),(79,1)}
       75:{1,5,7}:{(68,1),(69,1),(73,1),(80,1)}
       76:{4,6,7}:{(70,1),(71,1),(81,1),(82,1)}
       77:{4,5,7}:{(71,1),(72,1),(73,1),(81,1),(82,1)}
       78:{3,6}:{(73,1),(79,1),(80,1),(82,1)}
       79:{2,6}:{(74,1),(78,1)}
       80:{1,6}:{(75,1),(78,1)}
       81:{5,7}:{(76,1),(83,1)}
       82:{4,6}:{(77,1),(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 506 :  0:{4,5,6}:{(2,1),(3,1),(48,1),(81,1)}
        1:{5,6,7}:{(6,1),(76,1)}
        2:{4,5,7}:{(0,1),(6,1),(7,1),(59,1),(76,1)}
        3:{3,5,6}:{(0,1),(5,1),(7,1),(8,1),(9,1)}
        4:{3,4,5}:{(5,1),(10,1),(11,1),(37,1),(60,1)}
        5:{3,4,6}:{(3,1),(4,1),(14,1),(15,1),(16,1),(45,1),(48,1)}
        6:{4,6,7}:{(1,1),(2,1),(17,1)}
        7:{3,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(19,1)}
        8:{1,5,6}:{(3,1),(15,1),(18,1)}
        9:{2,5,6}:{(3,1),(16,1),(19,1)}
       10:{1,4,5}:{(4,1),(15,1),(21,1)}
       11:{2,4,5}:{(4,1),(16,1),(22,1)}
       12:{1,3,4}:{(21,1),(24,1),(51,1)}
       13:{2,3,4}:{(22,1),(25,1),(51,1)}
       14:{3,4,7}:{(5,1),(7,1),(28,1),(29,1),(56,1),(59,1)}
       15:{1,4,6}:{(5,1),(8,1),(10,1),(26,1),(28,1)}
       16:{2,4,6}:{(5,1),(9,1),(11,1),(27,1),(29,1)}
       17:{3,6,7}:{(6,1),(7,1),(31,1),(32,1)}
       18:{1,5,7}:{(7,1),(8,1),(28,1),(31,1)}
       19:{2,5,7}:{(7,1),(9,1),(29,1),(32,1)}
       20:{1,2,5,6}:{(8,1),(9,1),(30,1),(33,1),(34,1),(72,1),(74,1),(82,1),(83,1)}
       21:{1,3,5}:{(10,1),(12,1),(26,1),(35,1),(37,1)}
       22:{2,3,5}:{(11,1),(13,1),(27,1),(36,1),(37,1)}
       23:{1,2,4,5}:{(10,1),(11,1),(30,1),(35,1),(36,1),(37,1),(60,1),(61,1),(62,1),(72,1),(74,1)}
       24:{1,2,4}:{(12,1),(35,1),(38,1),(61,1)}
       25:{1,2,4}:{(13,1),(36,1),(39,1),(62,1)}
       26:{1,3,6}:{(15,1),(21,1),(40,1),(41,1),(45,1)}
       27:{2,3,6}:{(16,1),(22,1),(42,1),(43,1),(45,1)}
       28:{1,4,7}:{(14,1),(15,1),(18,1),(40,1)}
       29:{2,4,7}:{(14,1),(16,1),(19,1),(42,1)}
       30:{1,2,4,6}:{(15,1),(16,1),(20,1),(23,1),(41,1),(43,1),(44,1),(45,1),(48,1),(64,1),(66,1)}
       31:{1,6,7}:{(17,1),(18,1)}
       32:{2,6,7}:{(17,1),(19,1)}
       33:{1,2,5,7}:{(18,1),(19,1),(20,1),(44,1),(46,1),(47,1),(78,1),(79,1)}
       34:{3,5,6}:{(20,1),(45,1),(47,1),(48,1),(68,1),(80,1),(81,1)}
       35:{1,2,5}:{(21,1),(24,1),(41,1),(49,1)}
       36:{1,2,5}:{(22,1),(25,1),(43,1),(50,1)}
       37:{3,5}:{(23,1),(45,1),(51,1)}
       38:{2,3}:{(24,1)}
       39:{1,3}:{(25,1)}
       40:{1,3,7}:{(26,1),(28,1),(52,1),(56,1)}
       41:{1,2,6}:{(26,1),(35,1),(52,1),(53,1)}
       42:{2,3,7}:{(27,1),(29,1),(54,1),(56,1)}
       43:{1,2,6}:{(27,1),(36,1),(54,1),(55,1)}
       44:{1,2,4,7}:{(28,1),(29,1),(30,1),(33,1),(52,1),(54,1),(56,1),(59,1),(71,1),(73,1)}
       45:{3,6}:{(30,1),(37,1),(56,1)}
       46:{1,2,6,7}:{(31,1),(32,1),(33,1),(58,1),(82,1),(83,1)}
       47:{3,5,7}:{(33,1),(34,1),(56,1),(58,1),(59,1),(76,1)}
       48:{4,6}:{(34,1),(59,1),(60,1)}
       49:{2,3,5}:{(35,1),(37,1),(38,1),(53,1),(61,1),(72,1)}
       50:{1,3,5}:{(36,1),(37,1),(39,1),(55,1),(62,1),(74,1)}
       51:{3,4}:{(37,1),(61,1),(62,1)}
       52:{1,2,7}:{(40,1),(41,1),(63,1)}
       53:{2,3,6}:{(41,1),(45,1),(49,1),(63,1),(64,1)}
       54:{1,2,7}:{(42,1),(43,1),(65,1)}
       55:{1,3,6}:{(43,1),(45,1),(50,1),(65,1),(66,1)}
       56:{3,7}:{(44,1),(45,1)}
       57:{3,4,6}:{(45,1),(48,1),(51,1),(64,1),(66,1),(67,1),(68,1),(80,1)}
       58:{3,6,7}:{(46,1),(47,1),(69,1),(80,1)}
       59:{4,7}:{(47,1),(48,1)}
       60:{4,5}:{(48,1),(68,1)}
       61:{2,4}:{(49,1),(51,1)}
       62:{1,4}:{(50,1),(51,1)}
       63:{2,3,7}:{(52,1),(53,1),(56,1),(71,1)}
       64:{2,4,6}:{(53,1),(57,1),(61,1),(71,1),(72,1),(82,1)}
       65:{1,3,7}:{(54,1),(55,1),(56,1),(73,1)}
       66:{1,4,6}:{(55,1),(57,1),(62,1),(73,1),(74,1),(83,1)}
       67:{3,4,7}:{(56,1),(57,1),(59,1),(71,1),(73,1),(75,1)}
       68:{3,5}:{(57,1),(60,1),(72,1),(74,1)}
       69:{4,6,7}:{(58,1),(59,1),(76,1),(77,1)}
       70:{4,5,7}:{(59,1),(60,1),(75,1),(76,1),(77,1)}
       71:{2,4,7}:{(63,1),(64,1),(67,1),(78,1)}
       72:{2,5}:{(64,1),(68,1)}
       73:{1,4,7}:{(65,1),(66,1),(67,1),(79,1)}
       74:{1,5}:{(66,1),(68,1)}
       75:{3,5,7}:{(67,1),(68,1),(70,1),(78,1),(79,1),(80,1)}
       76:{5,7}:{(69,1),(81,1)}
       77:{4,6}:{(70,1),(80,1),(81,1)}
       78:{2,5,7}:{(71,1),(72,1),(75,1),(82,1)}
       79:{1,5,7}:{(73,1),(74,1),(75,1),(83,1)}
       80:{3,6}:{(75,1),(77,1),(82,1),(83,1)}
       81:{5,6}:{(76,1),(77,1)}
       82:{2,6}:{(78,1),(80,1)}
       83:{1,6}:{(79,1),(80,1)}

 507 :  0:{5,6,7}:{(1,1),(58,1)}
        1:{4,6,7}:{(0,1),(3,1),(4,1)}
        2:{4,5,6}:{(3,1),(5,1),(50,1),(69,1)}
        3:{4,5,7}:{(1,1),(2,1),(7,1),(57,1),(58,1)}
        4:{3,6,7}:{(1,1),(7,1),(8,1),(9,1)}
        5:{3,5,6}:{(2,1),(7,1),(10,1),(11,1),(12,1)}
        6:{3,4,5}:{(10,1),(13,1),(14,1),(39,1),(62,1)}
        7:{3,5,7}:{(3,1),(4,1),(5,1),(17,1),(18,1),(19,1)}
        8:{1,6,7}:{(4,1),(18,1)}
        9:{2,6,7}:{(4,1),(19,1)}
       10:{3,4,6}:{(5,1),(6,1),(17,1),(21,1),(22,1),(49,1),(50,1)}
       11:{1,5,6}:{(5,1),(18,1),(21,1)}
       12:{2,5,6}:{(5,1),(19,1),(22,1)}
       13:{1,4,5}:{(6,1),(21,1),(24,1)}
       14:{2,4,5}:{(6,1),(22,1),(25,1)}
       15:{1,3,4}:{(24,1),(27,1),(53,1)}
       16:{2,3,4}:{(25,1),(28,1),(53,1)}
       17:{3,4,7}:{(7,1),(10,1),(29,1),(30,1),(56,1),(57,1)}
       18:{1,5,7}:{(7,1),(8,1),(11,1),(29,1)}
       19:{2,5,7}:{(7,1),(9,1),(12,1),(30,1)}
       20:{1,2,6,7}:{(8,1),(9,1),(31,1),(32,1),(82,1),(83,1)}
       21:{1,4,6}:{(10,1),(11,1),(13,1),(29,1),(33,1)}
       22:{2,4,6}:{(10,1),(12,1),(14,1),(30,1),(34,1)}
       23:{1,2,5,6}:{(11,1),(12,1),(31,1),(35,1),(36,1),(77,1),(78,1),(82,1),(83,1)}
       24:{1,3,5}:{(13,1),(15,1),(33,1),(37,1),(39,1)}
       25:{2,3,5}:{(14,1),(16,1),(34,1),(38,1),(39,1)}
       26:{1,2,4,5}:{(13,1),(14,1),(35,1),(37,1),(38,1),(39,1),(62,1),(63,1),(64,1),(77,1),(78,1)}
       27:{1,2,4}:{(15,1),(37,1),(40,1),(63,1)}
       28:{1,2,4}:{(16,1),(38,1),(41,1),(64,1)}
       29:{1,4,7}:{(17,1),(18,1),(21,1),(42,1)}
       30:{2,4,7}:{(17,1),(19,1),(22,1),(43,1)}
       31:{1,2,5,7}:{(18,1),(19,1),(20,1),(23,1),(44,1),(45,1),(79,1),(80,1)}
       32:{3,6,7}:{(20,1),(45,1),(46,1),(81,1)}
       33:{1,3,6}:{(21,1),(24,1),(42,1),(47,1),(49,1)}
       34:{2,3,6}:{(22,1),(25,1),(43,1),(48,1),(49,1)}
       35:{1,2,4,6}:{(21,1),(22,1),(23,1),(26,1),(44,1),(47,1),(48,1),(49,1),(50,1),(70,1),(71,1)}
       36:{3,5,6}:{(23,1),(45,1),(49,1),(50,1),(69,1),(72,1),(81,1)}
       37:{1,2,5}:{(24,1),(27,1),(47,1),(51,1)}
       38:{1,2,5}:{(25,1),(28,1),(48,1),(52,1)}
       39:{3,5}:{(26,1),(49,1),(53,1)}
       40:{2,3}:{(27,1)}
       41:{1,3}:{(28,1)}
       42:{1,3,7}:{(29,1),(33,1),(54,1),(56,1)}
       43:{2,3,7}:{(30,1),(34,1),(55,1),(56,1)}
       44:{1,2,4,7}:{(29,1),(30,1),(31,1),(35,1),(54,1),(55,1),(56,1),(57,1),(73,1),(74,1)}
       45:{3,5,7}:{(31,1),(32,1),(36,1),(56,1),(57,1),(58,1)}
       46:{4,6,7}:{(32,1),(57,1),(58,1),(76,1)}
       47:{1,2,6}:{(33,1),(37,1),(54,1),(59,1)}
       48:{1,2,6}:{(34,1),(38,1),(55,1),(60,1)}
       49:{3,6}:{(35,1),(39,1),(56,1)}
       50:{4,6}:{(36,1),(57,1),(62,1)}
       51:{2,3,5}:{(37,1),(39,1),(40,1),(59,1),(63,1),(77,1)}
       52:{1,3,5}:{(38,1),(39,1),(41,1),(60,1),(64,1),(78,1)}
       53:{3,4}:{(39,1),(63,1),(64,1)}
       54:{1,2,7}:{(42,1),(47,1),(65,1)}
       55:{1,2,7}:{(43,1),(48,1),(66,1)}
       56:{3,7}:{(44,1),(49,1)}
       57:{4,7}:{(45,1),(50,1)}
       58:{5,7}:{(46,1),(69,1)}
       59:{2,3,6}:{(47,1),(49,1),(51,1),(65,1),(70,1)}
       60:{1,3,6}:{(48,1),(49,1),(52,1),(66,1),(71,1)}
       61:{3,4,6}:{(49,1),(50,1),(53,1),(67,1),(70,1),(71,1),(72,1),(81,1)}
       62:{4,5}:{(50,1),(72,1)}
       63:{2,4}:{(51,1),(53,1)}
       64:{1,4}:{(52,1),(53,1)}
       65:{2,3,7}:{(54,1),(56,1),(59,1),(73,1)}
       66:{1,3,7}:{(55,1),(56,1),(60,1),(74,1)}
       67:{3,4,7}:{(56,1),(57,1),(61,1),(73,1),(74,1),(75,1)}
       68:{4,5,7}:{(57,1),(58,1),(62,1),(75,1),(76,1)}
       69:{5,6}:{(58,1),(76,1)}
       70:{2,4,6}:{(59,1),(61,1),(63,1),(73,1),(77,1),(82,1)}
       71:{1,4,6}:{(60,1),(61,1),(64,1),(74,1),(78,1),(83,1)}
       72:{3,5}:{(61,1),(62,1),(77,1),(78,1)}
       73:{2,4,7}:{(65,1),(67,1),(70,1),(79,1)}
       74:{1,4,7}:{(66,1),(67,1),(71,1),(80,1)}
       75:{3,5,7}:{(67,1),(68,1),(72,1),(79,1),(80,1),(81,1)}
       76:{4,6}:{(68,1),(69,1),(81,1)}
       77:{2,5}:{(70,1),(72,1)}
       78:{1,5}:{(71,1),(72,1)}
       79:{2,5,7}:{(73,1),(75,1),(77,1),(82,1)}
       80:{1,5,7}:{(74,1),(75,1),(78,1),(83,1)}
       81:{3,6}:{(75,1),(76,1),(82,1),(83,1)}
       82:{2,6}:{(79,1),(81,1)}
       83:{1,6}:{(80,1),(81,1)}

 508 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(27,1),(28,1),(34,1),(37,1),(38,1),(39,1),(76,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(42,1),(43,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(25,1),(46,1),(47,1),(55,1),(59,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(31,1),(32,1),(34,1)}
         4:{3,4,6}:{(1,1),(8,1),(12,1),(37,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(12,1),(62,1),(63,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(37,1),(66,1),(67,1),(76,1)}
         7:{1,2,4,5,6}:{(3,1),(14,1),(15,1),(20,1),(42,1),(43,1),(45,1),(88,1),(89,1),(90,1)}
         8:{3,5}:{(3,1),(4,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(19,1),(20,1),(25,1),(51,1),(52,1),(55,1),(60,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(21,1),(22,1),(42,1),(56,1),(78,1),(85,1),(104,1)}
        11:{2,3,4,6}:{(4,1),(18,1),(21,1),(23,1),(43,1),(57,1),(78,1),(85,1),(104,1)}
        12:{3,4,7}:{(4,1),(5,1),(19,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(24,1),(25,1),(80,1),(81,1)}
        14:{3,5,6}:{(7,1),(8,1),(26,1),(29,1),(37,1)}
        15:{1,2,4,5,7}:{(7,1),(29,1),(30,1),(62,1),(63,1),(65,1),(95,1),(96,1),(97,1)}
        16:{3,4,5}:{(8,1),(26,1),(31,1),(32,1),(69,1)}
        17:{1,3,5}:{(8,1),(10,1),(31,1),(34,1),(69,1),(108,1)}
        18:{2,3,5}:{(8,1),(11,1),(32,1),(34,1),(69,1),(108,1)}
        19:{3,5,7}:{(8,1),(9,1),(12,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(37,1),(38,1),(71,1),(72,1),(76,1),(77,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(34,1),(39,1),(40,1),(74,1),(76,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(35,1),(40,1),(62,1),(93,1),(98,1)}
        23:{2,3,4,7}:{(11,1),(12,1),(36,1),(40,1),(63,1),(93,1),(98,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(41,1),(77,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(41,1),(95,1),(96,1)}
        26:{3,4,6}:{(14,1),(16,1),(42,1),(43,1),(44,1),(78,1)}
        27:{1,3,5,6}:{(14,1),(17,1),(42,1),(45,1),(46,1),(56,1),(78,1),(88,1),(105,1)}
        28:{2,3,5,6}:{(14,1),(18,1),(43,1),(45,1),(47,1),(57,1),(78,1),(89,1),(105,1)}
        29:{3,5,7}:{(14,1),(15,1),(44,1),(48,1)}
        30:{1,2,4,6,7}:{(15,1),(20,1),(48,1),(49,1),(80,1),(81,1),(83,1),(84,1)}
        31:{1,4,5}:{(16,1),(17,1),(42,1),(111,1)}
        32:{2,4,5}:{(16,1),(18,1),(43,1),(111,1)}
        33:{3,4,5,7}:{(16,1),(19,1),(44,1),(51,1),(52,1),(53,1),(60,1),(82,1),(86,1),(110,1),(111,1)}
        34:{1,2,5}:{(17,1),(18,1),(21,1)}
        35:{1,3,5,7}:{(17,1),(19,1),(22,1),(51,1),(55,1),(56,1),(86,1)}
        36:{2,3,5,7}:{(18,1),(19,1),(23,1),(52,1),(55,1),(57,1),(86,1)}
        37:{3,6}:{(19,1),(20,1)}
        38:{1,2,5,6}:{(20,1),(25,1),(58,1),(88,1),(89,1)}
        39:{1,2,3,6}:{(21,1),(54,1),(59,1),(78,1)}
        40:{1,2,4,7}:{(21,1),(22,1),(23,1),(55,1),(59,1)}
        41:{3,5,7}:{(24,1),(25,1),(58,1),(60,1)}
        42:{1,4,6}:{(26,1),(27,1),(31,1),(62,1),(109,1)}
        43:{2,4,6}:{(26,1),(28,1),(32,1),(63,1),(109,1)}
        44:{3,4,7}:{(26,1),(29,1),(62,1),(63,1),(93,1)}
        45:{1,2,5,6}:{(27,1),(28,1),(34,1),(61,1),(65,1),(76,1)}
        46:{1,3,5,7}:{(27,1),(29,1),(62,1),(65,1),(66,1),(93,1),(95,1),(107,1)}
        47:{2,3,5,7}:{(28,1),(29,1),(63,1),(65,1),(67,1),(93,1),(96,1),(107,1)}
        48:{3,6,7}:{(29,1),(30,1),(37,1)}
        49:{1,2,5,6,7}:{(30,1),(38,1),(68,1),(95,1),(96,1)}
        50:{1,2,4,5}:{(31,1),(32,1),(34,1),(61,1),(69,1),(74,1)}
        51:{1,4,5,7}:{(31,1),(33,1),(35,1),(62,1),(71,1),(95,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(36,1),(63,1),(72,1),(96,1)}
        53:{3,4,6}:{(33,1),(37,1),(71,1),(72,1),(73,1),(77,1),(99,1),(109,1)}
        54:{1,2,3,5}:{(34,1),(39,1),(69,1),(74,1)}
        55:{1,2,5,7}:{(34,1),(35,1),(36,1),(40,1),(76,1)}
        56:{1,3,6}:{(35,1),(37,1),(71,1),(76,1),(99,1)}
        57:{2,3,6}:{(36,1),(37,1),(72,1),(76,1),(99,1)}
        58:{3,5,6}:{(37,1),(38,1),(41,1),(77,1)}
        59:{1,2,3,7}:{(39,1),(40,1),(93,1)}
        60:{4,5,7}:{(41,1),(77,1)}
        61:{1,2,4,6}:{(42,1),(43,1),(45,1),(50,1),(78,1),(79,1)}
        62:{1,4,7}:{(42,1),(44,1),(46,1),(110,1)}
        63:{2,4,7}:{(43,1),(44,1),(47,1),(110,1)}
        64:{3,4,6,7}:{(44,1),(48,1),(53,1),(80,1),(81,1),(82,1),(84,1),(102,1),(110,1)}
        65:{1,2,5,7}:{(45,1),(46,1),(47,1),(79,1),(83,1)}
        66:{1,3,6,7}:{(46,1),(48,1),(56,1),(80,1),(83,1),(102,1)}
        67:{2,3,6,7}:{(47,1),(48,1),(57,1),(81,1),(83,1),(102,1)}
        68:{3,5,6,7}:{(48,1),(49,1),(58,1),(82,1),(84,1)}
        69:{3,5}:{(50,1),(78,1),(85,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(52,1),(55,1),(79,1),(86,1),(87,1),(91,1),(103,1),(106,1),(110,1),(111,1)}
        71:{1,4,6}:{(51,1),(53,1),(56,1),(88,1)}
        72:{2,4,6}:{(52,1),(53,1),(57,1),(89,1)}
        73:{3,5,6}:{(53,1),(82,1),(88,1),(89,1),(90,1)}
        74:{1,2,4}:{(54,1),(85,1)}
        75:{1,2,3,5,7}:{(54,1),(55,1),(59,1),(86,1),(91,1),(92,1),(106,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{4,6}:{(58,1),(60,1)}
        78:{3,6}:{(61,1),(69,1),(93,1)}
        79:{1,2,4,7}:{(61,1),(62,1),(63,1),(65,1),(93,1)}
        80:{1,4,6,7}:{(62,1),(64,1),(66,1),(71,1),(95,1)}
        81:{2,4,6,7}:{(63,1),(64,1),(67,1),(72,1),(96,1)}
        82:{3,5,7}:{(64,1),(73,1),(95,1),(96,1),(97,1)}
        83:{1,2,6,7}:{(65,1),(66,1),(67,1),(76,1)}
        84:{4,6,7}:{(68,1),(77,1),(97,1)}
        85:{3,4}:{(69,1),(74,1)}
        86:{3,5,7}:{(69,1),(70,1),(93,1),(98,1),(99,1),(108,1)}
        87:{1,2,4,6}:{(70,1),(71,1),(72,1),(76,1),(99,1),(100,1),(109,1)}
        88:{1,5,6}:{(71,1),(73,1),(95,1)}
        89:{2,5,6}:{(72,1),(73,1),(96,1)}
        90:{4,5,6}:{(73,1),(77,1),(97,1),(109,1)}
        91:{1,2,4,7}:{(74,1),(75,1),(98,1),(101,1)}
        92:{1,2,3,6}:{(75,1),(76,1),(99,1),(101,1)}
        93:{3,7}:{(78,1),(79,1)}
        94:{1,2,4,6,7}:{(79,1),(80,1),(81,1),(83,1),(87,1),(102,1),(103,1),(110,1)}
        95:{1,5,7}:{(80,1),(82,1),(88,1)}
        96:{2,5,7}:{(81,1),(82,1),(89,1)}
        97:{4,5,7}:{(82,1),(84,1),(90,1),(110,1)}
        98:{3,4,7}:{(85,1),(86,1),(91,1),(104,1),(110,1)}
        99:{3,6}:{(86,1),(87,1)}
       100:{1,2,5,6}:{(87,1),(88,1),(89,1),(103,1),(105,1),(106,1)}
       101:{1,2,4,6}:{(91,1),(92,1),(104,1),(106,1)}
       102:{3,6,7}:{(93,1),(94,1),(99,1),(107,1)}
       103:{1,2,5,7}:{(94,1),(95,1),(96,1),(100,1),(107,1)}
       104:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       105:{3,5,6}:{(99,1),(100,1),(107,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(108,1)}
       107:{3,5,7}:{(102,1),(103,1),(105,1),(110,1)}
       108:{3,5}:{(104,1),(106,1),(111,1)}
       109:{4,6}:{(105,1),(110,1),(111,1)}
       110:{4,7}:{(107,1),(109,1)}
       111:{4,5}:{(108,1),(109,1)}

 509 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(11,1),(27,1),(31,1),(70,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(91,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(45,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(11,1),(22,1),(23,1),(26,1),(27,1),(35,1),(64,1),(71,1),(106,1)}
         4:{3,4,7}:{(1,1),(6,1),(10,1),(64,1),(113,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1)}
         6:{3,5,7}:{(3,1),(4,1),(16,1),(21,1),(92,1),(125,1)}
         7:{1,2,4,6}:{(3,1),(16,1),(17,1),(38,1),(39,1),(45,1),(48,1)}
         8:{1,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(79,1),(85,1),(125,1),(130,1)}
         9:{2,3,4,7}:{(4,1),(15,1),(18,1),(20,1),(79,1),(86,1),(125,1),(131,1)}
        10:{3,4,6}:{(4,1),(5,1),(16,1),(21,1),(48,1)}
        11:{1,2,5}:{(5,1),(21,1)}
        12:{3,4,5,7}:{(6,1),(22,1),(23,1),(24,1),(35,1),(55,1),(56,1),(64,1),(72,1),(73,1),(107,1),(108,1),(135,1),(138,1)}
        13:{1,2,4,6,7}:{(7,1),(25,1),(26,1),(53,1),(54,1),(61,1),(64,1),(106,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(22,1),(27,1),(28,1),(33,1),(56,1),(114,1),(139,1)}
        15:{2,3,5,7}:{(6,1),(9,1),(23,1),(27,1),(29,1),(34,1),(56,1),(115,1),(140,1)}
        16:{3,6}:{(6,1),(7,1)}
        17:{1,2,5,6}:{(7,1),(11,1),(26,1),(30,1),(58,1),(59,1)}
        18:{1,2,4,7}:{(8,1),(9,1),(27,1),(31,1),(32,1),(142,1)}
        19:{1,3,4,6}:{(8,1),(10,1),(28,1),(32,1),(33,1),(68,1),(102,1),(110,1),(113,1)}
        20:{2,3,4,6}:{(9,1),(10,1),(29,1),(32,1),(34,1),(69,1),(102,1),(110,1),(113,1)}
        21:{3,5}:{(10,1),(11,1),(35,1)}
        22:{1,4,5,7}:{(12,1),(14,1),(38,1),(51,1),(76,1),(85,1),(94,1),(127,1)}
        23:{2,4,5,7}:{(12,1),(15,1),(39,1),(52,1),(77,1),(86,1),(93,1),(126,1)}
        24:{3,4,6}:{(12,1),(16,1),(38,1),(39,1),(40,1),(48,1),(80,1),(122,1)}
        25:{3,6,7}:{(13,1),(16,1),(43,1),(125,1)}
        26:{1,2,5,7}:{(13,1),(17,1),(43,1),(76,1),(77,1)}
        27:{1,2,5,7}:{(14,1),(15,1),(18,1),(45,1),(50,1),(132,1),(145,1)}
        28:{1,3,6}:{(14,1),(16,1),(38,1),(45,1),(80,1)}
        29:{2,3,6}:{(15,1),(16,1),(39,1),(45,1),(80,1)}
        30:{3,5,6}:{(16,1),(17,1),(21,1),(43,1),(48,1)}
        31:{1,2,3,7}:{(18,1),(49,1),(125,1),(145,1),(146,1)}
        32:{1,2,4,6}:{(18,1),(19,1),(20,1),(45,1),(49,1),(50,1),(91,1)}
        33:{1,3,5}:{(19,1),(21,1),(50,1),(51,1),(92,1),(121,1)}
        34:{2,3,5}:{(20,1),(21,1),(50,1),(52,1),(92,1),(121,1)}
        35:{4,5}:{(21,1),(48,1)}
        36:{3,4,6,7}:{(24,1),(25,1),(53,1),(54,1),(55,1),(64,1),(97,1),(98,1),(107,1),(108,1),(133,1),(134,1),(135,1)}
        37:{1,2,4,5,7}:{(22,1),(23,1),(27,1),(56,1),(57,1),(65,1),(71,1),(99,1),(106,1),(109,1),(135,1),(138,1)}
        38:{1,4,6}:{(22,1),(24,1),(28,1),(58,1)}
        39:{2,4,6}:{(23,1),(24,1),(29,1),(59,1)}
        40:{3,5,6}:{(24,1),(55,1),(58,1),(59,1),(60,1)}
        41:{1,3,6,7}:{(25,1),(28,1),(53,1),(61,1),(62,1),(98,1),(133,1),(139,1)}
        42:{2,3,6,7}:{(25,1),(29,1),(54,1),(61,1),(63,1),(98,1),(134,1),(140,1)}
        43:{3,5,7}:{(25,1),(26,1),(30,1),(64,1)}
        44:{1,2,3,5,7}:{(27,1),(31,1),(56,1),(65,1),(66,1),(70,1),(109,1)}
        45:{1,2,6}:{(27,1),(28,1),(29,1)}
        46:{1,3,5,6}:{(28,1),(30,1),(33,1),(58,1),(62,1),(67,1),(68,1),(103,1),(104,1),(110,1)}
        47:{2,3,5,6}:{(29,1),(30,1),(34,1),(59,1),(63,1),(67,1),(69,1),(103,1),(105,1),(110,1)}
        48:{4,6}:{(30,1),(35,1),(64,1)}
        49:{1,2,3,6}:{(31,1),(32,1),(70,1),(110,1),(141,1)}
        50:{1,2,5}:{(32,1),(33,1),(34,1)}
        51:{1,4,5}:{(33,1),(35,1),(68,1),(72,1),(138,1)}
        52:{2,4,5}:{(34,1),(35,1),(69,1),(73,1),(138,1)}
        53:{1,4,6,7}:{(36,1),(38,1),(41,1),(76,1),(85,1),(127,1),(144,1)}
        54:{2,4,6,7}:{(36,1),(39,1),(42,1),(77,1),(86,1),(126,1),(143,1)}
        55:{3,5,7}:{(36,1),(40,1),(76,1),(77,1),(78,1)}
        56:{3,5,7}:{(37,1),(79,1),(80,1),(92,1),(121,1),(125,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(39,1),(45,1),(80,1),(81,1),(122,1)}
        58:{1,5,6}:{(38,1),(40,1),(76,1)}
        59:{2,5,6}:{(39,1),(40,1),(77,1)}
        60:{4,5,6}:{(40,1),(48,1),(78,1),(122,1)}
        61:{1,2,6,7}:{(41,1),(42,1),(45,1),(84,1),(143,1),(144,1),(145,1)}
        62:{1,3,5,7}:{(41,1),(43,1),(46,1),(76,1),(84,1),(85,1),(118,1),(119,1),(125,1)}
        63:{2,3,5,7}:{(42,1),(43,1),(47,1),(77,1),(84,1),(86,1),(118,1),(120,1),(125,1)}
        64:{4,7}:{(43,1),(48,1)}
        65:{1,2,4,7}:{(44,1),(79,1),(87,1),(91,1)}
        66:{1,2,3,6}:{(44,1),(45,1),(80,1),(87,1)}
        67:{1,2,5,6}:{(45,1),(46,1),(47,1),(50,1),(84,1),(88,1),(123,1),(124,1)}
        68:{1,4,6}:{(46,1),(48,1),(51,1),(85,1),(89,1),(122,1)}
        69:{2,4,6}:{(47,1),(48,1),(52,1),(86,1),(90,1),(122,1)}
        70:{1,2,3,5}:{(49,1),(50,1),(91,1),(92,1),(132,1),(146,1)}
        71:{1,2,4,5}:{(50,1),(51,1),(52,1),(88,1),(91,1),(92,1),(93,1),(94,1),(132,1)}
        72:{3,4,5}:{(51,1),(89,1),(92,1),(93,1)}
        73:{3,4,5}:{(52,1),(90,1),(92,1),(94,1)}
        74:{3,5,6,7}:{(55,1),(95,1),(96,1),(97,1),(133,1),(134,1)}
        75:{1,2,4,6,7}:{(53,1),(54,1),(57,1),(61,1),(98,1),(99,1),(106,1),(135,1)}
        76:{1,5,7}:{(53,1),(55,1),(58,1)}
        77:{2,5,7}:{(54,1),(55,1),(59,1)}
        78:{4,5,7}:{(55,1),(60,1),(64,1),(97,1),(135,1)}
        79:{3,4,7}:{(56,1),(65,1),(102,1),(113,1),(135,1)}
        80:{3,6}:{(56,1),(57,1)}
        81:{1,2,5,6}:{(57,1),(58,1),(59,1),(99,1),(103,1),(109,1)}
        82:{1,4,5,6}:{(58,1),(60,1),(68,1),(100,1),(104,1)}
        83:{2,4,5,6}:{(59,1),(60,1),(69,1),(101,1),(105,1)}
        84:{1,2,5,7}:{(61,1),(62,1),(63,1),(67,1),(106,1),(136,1),(137,1)}
        85:{1,4,7}:{(62,1),(64,1),(68,1),(107,1),(135,1)}
        86:{2,4,7}:{(63,1),(64,1),(69,1),(108,1),(135,1)}
        87:{1,2,4,6}:{(65,1),(66,1),(102,1),(109,1)}
        88:{1,2,4,6}:{(67,1),(68,1),(69,1),(71,1),(106,1),(110,1),(111,1),(112,1),(141,1)}
        89:{3,4,6}:{(68,1),(72,1),(104,1),(107,1),(110,1),(111,1)}
        90:{3,4,6}:{(69,1),(73,1),(105,1),(108,1),(110,1),(112,1)}
        91:{1,2,4}:{(70,1),(113,1)}
        92:{3,5}:{(71,1),(110,1),(113,1)}
        93:{2,4,5}:{(72,1),(111,1),(115,1)}
        94:{1,4,5}:{(73,1),(112,1),(114,1)}
        95:{1,5,6,7}:{(74,1),(76,1),(116,1),(144,1)}
        96:{2,5,6,7}:{(74,1),(77,1),(117,1),(143,1)}
        97:{4,6,7}:{(74,1),(78,1)}
        98:{3,6,7}:{(75,1),(80,1),(118,1),(125,1)}
        99:{1,2,5,7}:{(75,1),(76,1),(77,1),(81,1),(118,1)}
       100:{1,4,5,7}:{(76,1),(78,1),(82,1),(85,1),(116,1),(119,1)}
       101:{2,4,5,7}:{(77,1),(78,1),(83,1),(86,1),(117,1),(120,1)}
       102:{3,4,6}:{(79,1),(80,1),(87,1),(121,1),(122,1)}
       103:{3,5,6}:{(80,1),(81,1),(118,1),(121,1),(122,1)}
       104:{3,5,6}:{(82,1),(89,1),(119,1),(123,1)}
       105:{3,5,6}:{(83,1),(90,1),(120,1),(124,1)}
       106:{1,2,4,7}:{(84,1),(85,1),(86,1),(88,1),(125,1),(126,1),(127,1),(145,1)}
       107:{3,4,7}:{(85,1),(89,1),(119,1),(125,1),(126,1)}
       108:{3,4,7}:{(86,1),(90,1),(120,1),(125,1),(127,1)}
       109:{1,2,5}:{(87,1),(121,1)}
       110:{3,6}:{(88,1),(92,1),(125,1)}
       111:{2,4,6}:{(89,1),(93,1),(123,1),(126,1),(129,1)}
       112:{1,4,6}:{(90,1),(94,1),(124,1),(127,1),(128,1)}
       113:{3,4}:{(91,1),(92,1)}
       114:{1,3,5}:{(92,1),(94,1),(128,1),(130,1),(132,1)}
       115:{2,3,5}:{(92,1),(93,1),(129,1),(131,1),(132,1)}
       116:{1,4,6,7}:{(95,1),(97,1),(100,1),(133,1)}
       117:{2,4,6,7}:{(96,1),(97,1),(101,1),(134,1)}
       118:{3,5,7}:{(98,1),(99,1),(103,1),(135,1)}
       119:{3,5,7}:{(100,1),(104,1),(107,1),(133,1),(136,1)}
       120:{3,5,7}:{(101,1),(105,1),(108,1),(134,1),(137,1)}
       121:{3,5}:{(102,1),(109,1),(138,1)}
       122:{4,6}:{(103,1),(135,1),(138,1)}
       123:{2,5,6}:{(104,1),(111,1),(136,1)}
       124:{1,5,6}:{(105,1),(112,1),(137,1)}
       125:{3,7}:{(106,1),(110,1)}
       126:{2,4,7}:{(107,1),(111,1),(136,1),(140,1)}
       127:{1,4,7}:{(108,1),(112,1),(137,1),(139,1)}
       128:{1,3,6}:{(110,1),(112,1),(114,1),(139,1),(141,1)}
       129:{2,3,6}:{(110,1),(111,1),(115,1),(140,1),(141,1)}
       130:{1,3,4}:{(113,1),(114,1),(142,1)}
       131:{2,3,4}:{(113,1),(115,1),(142,1)}
       132:{1,2,5}:{(114,1),(115,1),(141,1),(142,1)}
       133:{3,6,7}:{(116,1),(119,1),(143,1)}
       134:{3,6,7}:{(117,1),(120,1),(144,1)}
       135:{4,7}:{(118,1),(122,1)}
       136:{2,5,7}:{(119,1),(123,1),(126,1),(143,1)}
       137:{1,5,7}:{(120,1),(124,1),(127,1),(144,1)}
       138:{4,5}:{(121,1),(122,1)}
       139:{1,3,7}:{(125,1),(127,1),(128,1),(145,1)}
       140:{2,3,7}:{(125,1),(126,1),(129,1),(145,1)}
       141:{1,2,6}:{(128,1),(129,1),(132,1),(145,1)}
       142:{1,2,4}:{(130,1),(131,1),(132,1),(146,1)}
       143:{2,6,7}:{(133,1),(136,1)}
       144:{1,6,7}:{(134,1),(137,1)}
       145:{1,2,7}:{(139,1),(140,1),(141,1)}
       146:{1,2,3}:{(142,1)}

 510 :   0:{1,2,3,6,7}:{(1,1),(2,1),(26,1),(56,1),(57,1),(61,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(6,1),(15,1),(68,1),(69,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(43,1),(48,1),(75,1),(76,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(11,1),(22,1),(26,1)}
         4:{1,2,5,7}:{(1,1),(7,1),(8,1),(85,1),(86,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(10,1),(26,1),(29,1),(59,1),(60,1),(61,1),(65,1),(66,1)}
         6:{1,2,4,7}:{(2,1),(10,1),(11,1),(91,1),(92,1)}
         7:{3,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{1,2,5,6}:{(4,1),(12,1),(15,1),(70,1),(71,1)}
         9:{1,2,4,5,7}:{(4,1),(6,1),(13,1),(15,1),(16,1),(17,1),(36,1),(37,1),(43,1)}
        10:{1,2,4,6}:{(5,1),(6,1),(17,1),(18,1),(78,1),(79,1)}
        11:{3,4,7}:{(6,1),(16,1),(18,1)}
        12:{3,5,6}:{(7,1),(8,1),(22,1),(26,1)}
        13:{4,5,7}:{(7,1),(22,1)}
        14:{1,2,5,6,7}:{(8,1),(21,1),(24,1),(85,1),(86,1)}
        15:{1,2,4,6}:{(8,1),(9,1),(22,1),(26,1),(52,1),(53,1),(61,1)}
        16:{3,5,7}:{(9,1),(11,1),(26,1),(29,1)}
        17:{1,2,4,5}:{(10,1),(29,1),(63,1),(64,1),(65,1)}
        18:{3,4,6}:{(10,1),(11,1),(26,1),(29,1)}
        19:{1,3,4,7}:{(11,1),(27,1),(30,1),(32,1),(90,1),(91,1),(109,1)}
        20:{2,3,4,7}:{(11,1),(28,1),(31,1),(32,1),(90,1),(92,1),(109,1)}
        21:{3,5,6,7}:{(12,1),(14,1),(33,1),(39,1),(67,1)}
        22:{4,6}:{(12,1),(13,1)}
        23:{3,4,5,7}:{(13,1),(16,1),(35,1),(36,1),(37,1),(44,1),(67,1),(73,1),(74,1),(110,1),(111,1)}
        24:{1,2,4,6,7}:{(14,1),(15,1),(33,1),(38,1),(39,1),(68,1),(69,1),(77,1)}
        25:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(38,1),(40,1),(70,1),(71,1),(78,1),(79,1),(80,1)}
        26:{3,6}:{(15,1),(16,1)}
        27:{1,3,5,7}:{(16,1),(19,1),(36,1),(41,1),(43,1),(45,1),(73,1)}
        28:{2,3,5,7}:{(16,1),(20,1),(37,1),(42,1),(43,1),(46,1),(73,1)}
        29:{3,5}:{(17,1),(18,1)}
        30:{1,3,4,6}:{(18,1),(19,1),(41,1),(45,1),(47,1),(78,1),(101,1),(103,1),(105,1)}
        31:{2,3,4,6}:{(18,1),(20,1),(42,1),(46,1),(47,1),(79,1),(101,1),(103,1),(105,1)}
        32:{1,2,4,7}:{(19,1),(20,1),(43,1),(47,1),(48,1)}
        33:{4,6,7}:{(21,1),(22,1),(49,1)}
        34:{4,5,6}:{(22,1),(49,1),(51,1),(107,1)}
        35:{3,4,6}:{(22,1),(23,1),(26,1),(51,1),(52,1),(53,1),(89,1),(107,1)}
        36:{1,4,5,7}:{(23,1),(27,1),(52,1),(63,1),(85,1),(91,1)}
        37:{2,4,5,7}:{(23,1),(28,1),(53,1),(64,1),(86,1),(92,1)}
        38:{1,2,4,5,7}:{(24,1),(25,1),(49,1),(55,1),(85,1),(86,1),(91,1),(92,1),(93,1)}
        39:{3,6,7}:{(24,1),(26,1),(55,1)}
        40:{3,5,6}:{(25,1),(26,1),(29,1),(55,1),(58,1)}
        41:{1,3,6}:{(26,1),(27,1),(52,1),(61,1),(89,1)}
        42:{2,3,6}:{(26,1),(28,1),(53,1),(61,1),(89,1)}
        43:{1,2,5,7}:{(27,1),(28,1),(32,1),(61,1),(65,1)}
        44:{3,4,5}:{(29,1),(58,1),(63,1),(64,1),(96,1)}
        45:{1,3,5}:{(29,1),(30,1),(63,1),(65,1),(96,1),(108,1)}
        46:{2,3,5}:{(29,1),(31,1),(64,1),(65,1),(96,1),(108,1)}
        47:{1,2,4,6}:{(30,1),(31,1),(32,1),(61,1),(65,1),(66,1),(97,1)}
        48:{1,2,3,7}:{(32,1),(66,1),(109,1)}
        49:{4,5,7}:{(33,1),(34,1),(67,1),(110,1)}
        50:{3,4,6,7}:{(33,1),(35,1),(39,1),(67,1),(68,1),(69,1),(74,1),(99,1),(110,1)}
        51:{3,5,6}:{(34,1),(35,1),(67,1),(70,1),(71,1)}
        52:{1,4,6}:{(35,1),(36,1),(41,1),(70,1)}
        53:{2,4,6}:{(35,1),(37,1),(42,1),(71,1)}
        54:{1,2,4,5,7}:{(36,1),(37,1),(43,1),(72,1),(73,1),(82,1),(83,1),(98,1),(102,1),(104,1),(110,1),(111,1)}
        55:{3,5,7}:{(38,1),(39,1),(40,1),(74,1)}
        56:{1,3,6,7}:{(39,1),(41,1),(68,1),(75,1),(77,1),(99,1)}
        57:{2,3,6,7}:{(39,1),(42,1),(69,1),(76,1),(77,1),(99,1)}
        58:{3,4,6}:{(40,1),(44,1),(74,1),(78,1),(79,1),(103,1)}
        59:{1,3,5,6}:{(40,1),(41,1),(45,1),(70,1),(75,1),(78,1),(80,1),(100,1),(103,1)}
        60:{2,3,5,6}:{(40,1),(42,1),(46,1),(71,1),(76,1),(79,1),(80,1),(100,1),(103,1)}
        61:{1,2,6}:{(41,1),(42,1),(43,1)}
        62:{1,2,3,5,7}:{(43,1),(48,1),(73,1),(81,1),(82,1),(84,1),(104,1)}
        63:{1,4,5}:{(44,1),(45,1),(78,1),(111,1)}
        64:{2,4,5}:{(44,1),(46,1),(79,1),(111,1)}
        65:{1,2,5}:{(45,1),(46,1),(47,1)}
        66:{1,2,3,6}:{(47,1),(48,1),(84,1),(103,1)}
        67:{3,5,7}:{(49,1),(50,1),(51,1),(85,1),(86,1)}
        68:{1,4,6,7}:{(50,1),(52,1),(56,1),(85,1),(91,1)}
        69:{2,4,6,7}:{(50,1),(53,1),(57,1),(86,1),(92,1)}
        70:{1,5,6}:{(51,1),(52,1),(85,1)}
        71:{2,5,6}:{(51,1),(53,1),(86,1)}
        72:{1,2,4,6}:{(52,1),(53,1),(54,1),(61,1),(88,1),(89,1),(107,1)}
        73:{3,5,7}:{(54,1),(89,1),(90,1),(96,1),(108,1),(109,1)}
        74:{3,4,7}:{(55,1),(58,1),(91,1),(92,1),(109,1)}
        75:{1,3,5,7}:{(55,1),(56,1),(59,1),(85,1),(91,1),(93,1),(106,1),(109,1)}
        76:{2,3,5,7}:{(55,1),(57,1),(60,1),(86,1),(92,1),(93,1),(106,1),(109,1)}
        77:{1,2,6,7}:{(56,1),(57,1),(61,1),(93,1)}
        78:{1,4,6}:{(58,1),(59,1),(63,1),(91,1),(107,1)}
        79:{2,4,6}:{(58,1),(60,1),(64,1),(92,1),(107,1)}
        80:{1,2,5,6}:{(59,1),(60,1),(61,1),(65,1),(93,1),(94,1)}
        81:{1,2,3,6}:{(61,1),(62,1),(89,1),(95,1)}
        82:{1,2,4,7}:{(62,1),(90,1),(95,1),(97,1)}
        83:{1,2,4,5}:{(63,1),(64,1),(65,1),(94,1),(96,1),(97,1)}
        84:{1,2,3,5}:{(65,1),(66,1),(96,1),(97,1)}
        85:{1,5,7}:{(67,1),(68,1),(70,1)}
        86:{2,5,7}:{(67,1),(69,1),(71,1)}
        87:{1,2,4,6,7}:{(68,1),(69,1),(72,1),(77,1),(98,1),(99,1),(102,1),(110,1)}
        88:{1,2,5,6}:{(70,1),(71,1),(72,1),(98,1),(100,1),(104,1)}
        89:{3,6}:{(72,1),(73,1)}
        90:{3,4,7}:{(73,1),(82,1),(101,1),(105,1),(110,1)}
        91:{1,4,7}:{(74,1),(75,1),(78,1),(110,1)}
        92:{2,4,7}:{(74,1),(76,1),(79,1),(110,1)}
        93:{1,2,5,7}:{(75,1),(76,1),(77,1),(80,1),(102,1)}
        94:{1,2,4,6}:{(78,1),(79,1),(80,1),(83,1),(102,1),(103,1)}
        95:{1,2,4,6}:{(81,1),(82,1),(101,1),(104,1)}
        96:{3,5}:{(83,1),(103,1),(105,1)}
        97:{1,2,4}:{(84,1),(105,1)}
        98:{1,2,5,7}:{(85,1),(86,1),(87,1),(88,1),(106,1)}
        99:{3,6,7}:{(87,1),(89,1),(106,1),(109,1)}
       100:{3,5,6}:{(88,1),(89,1),(106,1),(107,1),(108,1)}
       101:{3,4,6}:{(89,1),(90,1),(95,1),(107,1),(108,1)}
       102:{1,2,4,7}:{(91,1),(92,1),(93,1),(94,1),(109,1)}
       103:{3,6}:{(94,1),(96,1),(109,1)}
       104:{1,2,5}:{(95,1),(108,1)}
       105:{3,4}:{(96,1),(97,1)}
       106:{3,5,7}:{(98,1),(99,1),(100,1),(110,1)}
       107:{4,6}:{(100,1),(110,1),(111,1)}
       108:{3,5}:{(101,1),(104,1),(111,1)}
       109:{3,7}:{(102,1),(103,1)}
       110:{4,7}:{(106,1),(107,1)}
       111:{4,5}:{(107,1),(108,1)}

 511 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(22,1),(42,1),(51,1),(87,1),(102,1)}
         1:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(32,1),(36,1),(77,1)}
         2:{1,3,5}:{(0,1),(7,1),(9,1),(34,1),(110,1),(127,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(27,1),(67,1),(76,1),(113,1),(205,1)}
         4:{1,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(14,1),(22,1),(42,1),(60,1),(107,1)}
         5:{1,4,5,6}:{(12,1),(14,1),(15,1),(60,1),(109,1)}
         6:{2,3,6}:{(1,1),(16,1),(17,1),(42,1)}
         7:{1,2,5}:{(1,1),(2,1),(16,1),(103,1)}
         8:{1,2,4,7}:{(1,1),(3,1),(17,1),(19,1),(52,1),(208,1)}
         9:{1,4,5}:{(2,1),(12,1),(20,1),(148,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(19,1),(21,1),(22,1),(56,1),(133,1),(197,1),(200,1)}
        11:{1,2,5,6}:{(4,1),(7,1),(23,1),(24,1),(25,1),(29,1),(36,1),(110,1),(153,1)}
        12:{1,4,6}:{(4,1),(9,1),(26,1),(27,1),(131,1)}
        13:{1,3,5,7}:{(4,1),(25,1),(27,1),(28,1),(30,1),(67,1),(71,1),(119,1)}
        14:{3,5,6}:{(5,1),(26,1),(29,1),(30,1)}
        15:{1,4,5,7}:{(5,1),(27,1),(30,1),(31,1),(71,1),(121,1)}
        16:{2,3,5}:{(6,1),(7,1),(32,1),(34,1)}
        17:{2,3,7}:{(6,1),(8,1),(67,1),(209,1)}
        18:{1,2,4,5}:{(7,1),(9,1),(24,1),(32,1),(34,1),(37,1),(61,1),(74,1),(78,1),(110,1)}
        19:{1,2,5,7}:{(7,1),(8,1),(10,1),(33,1),(36,1),(204,1),(207,1)}
        20:{3,4,5}:{(9,1),(26,1),(34,1),(37,1)}
        21:{1,4,5,7}:{(9,1),(10,1),(27,1),(38,1),(39,1),(71,1),(188,1),(192,1)}
        22:{1,3,6}:{(10,1),(36,1),(39,1),(81,1),(153,1)}
        23:{2,3,5,6}:{(11,1),(16,1),(40,1),(41,1),(42,1),(53,1),(85,1),(103,1),(107,1),(134,1),(135,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(18,1),(40,1),(42,1),(43,1),(45,1),(87,1),(90,1)}
        25:{1,2,5,7}:{(11,1),(13,1),(41,1),(43,1),(44,1),(48,1),(133,1)}
        26:{3,4,6}:{(12,1),(14,1),(20,1),(42,1),(45,1),(46,1)}
        27:{1,4,7}:{(12,1),(13,1),(46,1),(141,1)}
        28:{1,3,6,7}:{(13,1),(22,1),(44,1),(47,1),(49,1),(93,1),(197,1)}
        29:{2,5,6}:{(14,1),(45,1),(48,1)}
        30:{3,5,7}:{(14,1),(15,1),(46,1),(48,1),(49,1)}
        31:{1,4,6,7}:{(15,1),(49,1),(50,1),(98,1)}
        32:{2,4}:{(16,1),(51,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(19,1),(52,1),(53,1),(56,1),(103,1),(196,1),(198,1),(201,1)}
        34:{3,5}:{(18,1),(42,1),(51,1)}
        35:{1,2,4,5,7}:{(18,1),(19,1),(21,1),(43,1),(52,1),(56,1),(57,1),(58,1),(86,1),(94,1),(100,1),(103,1),(104,1),(133,1),(141,1),(146,1),(148,1),(172,1),(173,1),(178,1),(196,1)}
        36:{1,2,6}:{(19,1),(22,1),(53,1)}
        37:{2,4,5}:{(20,1),(45,1),(55,1)}
        38:{3,4,5,7}:{(20,1),(21,1),(46,1),(56,1),(58,1),(59,1),(96,1),(141,1),(148,1),(175,1),(180,1)}
        39:{1,4,6}:{(21,1),(22,1),(59,1),(60,1)}
        40:{2,4,6}:{(23,1),(32,1),(61,1),(62,1),(63,1),(131,1)}
        41:{2,3,5,7}:{(23,1),(25,1),(63,1),(64,1),(67,1),(111,1),(115,1),(119,1)}
        42:{3,6}:{(24,1),(34,1),(67,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(27,1),(63,1),(67,1),(69,1),(113,1),(116,1)}
        44:{1,2,6,7}:{(25,1),(28,1),(36,1),(64,1),(72,1),(153,1),(204,1)}
        45:{2,4,6}:{(26,1),(29,1),(37,1),(66,1),(69,1)}
        46:{3,4,7}:{(26,1),(27,1),(30,1),(67,1),(69,1)}
        47:{1,4,6,7}:{(27,1),(28,1),(39,1),(70,1),(71,1),(161,1),(188,1)}
        48:{2,5,7}:{(29,1),(30,1),(69,1),(72,1)}
        49:{3,6,7}:{(30,1),(31,1),(72,1)}
        50:{1,5,6,7}:{(31,1),(71,1),(73,1),(161,1)}
        51:{3,4}:{(32,1),(34,1),(74,1)}
        52:{2,4,7}:{(32,1),(33,1),(76,1),(77,1),(206,1)}
        53:{2,3,6}:{(33,1),(36,1),(77,1),(81,1),(203,1)}
        54:{1,3,5}:{(34,1),(65,1),(74,1),(78,1),(110,1),(123,1)}
        55:{2,3,5}:{(34,1),(37,1),(66,1),(75,1),(78,1)}
        56:{3,5,7}:{(34,1),(35,1),(67,1),(76,1),(81,1),(127,1),(186,1),(190,1)}
        57:{1,2,4,6}:{(35,1),(36,1),(39,1),(77,1),(81,1),(82,1),(83,1),(112,1),(125,1),(128,1),(131,1),(153,1),(184,1),(203,1)}
        58:{2,4,5,7}:{(37,1),(38,1),(69,1),(80,1),(83,1),(120,1),(159,1),(165,1)}
        59:{3,4,6}:{(38,1),(39,1),(81,1),(83,1),(84,1),(131,1)}
        60:{1,5,6}:{(39,1),(71,1),(84,1)}
        61:{2,4,5}:{(40,1),(85,1),(103,1),(148,1)}
        62:{3,4,6}:{(40,1),(42,1),(51,1),(85,1),(87,1),(88,1),(134,1)}
        63:{2,4,7}:{(40,1),(41,1),(88,1),(141,1)}
        64:{2,3,6,7}:{(41,1),(44,1),(53,1),(89,1),(93,1),(134,1),(198,1)}
        65:{1,3,6}:{(42,1),(54,1),(87,1),(90,1),(91,1)}
        66:{2,3,6}:{(42,1),(45,1),(55,1),(90,1),(92,1)}
        67:{3,7}:{(42,1),(43,1)}
        68:{1,2,4,6,7}:{(43,1),(44,1),(47,1),(57,1),(89,1),(93,1),(94,1),(95,1),(136,1),(138,1),(141,1),(173,1)}
        69:{2,4,7}:{(45,1),(46,1),(48,1),(92,1)}
        70:{3,4,6,7}:{(46,1),(47,1),(49,1),(59,1),(93,1),(95,1),(96,1),(98,1),(141,1),(143,1),(175,1)}
        71:{1,5,7}:{(47,1),(60,1),(96,1)}
        72:{2,6,7}:{(48,1),(49,1)}
        73:{3,5,6,7}:{(49,1),(50,1),(96,1),(97,1),(98,1),(143,1)}
        74:{1,4}:{(51,1),(54,1)}
        75:{2,3,4}:{(51,1),(55,1),(99,1)}
        76:{3,4,7}:{(51,1),(52,1),(56,1),(100,1),(102,1),(141,1),(199,1)}
        77:{2,4,6}:{(52,1),(53,1),(102,1),(103,1)}
        78:{1,2,5}:{(54,1),(55,1),(90,1),(99,1)}
        79:{1,3,5,7}:{(54,1),(56,1),(91,1),(100,1),(104,1),(105,1),(133,1),(144,1),(146,1),(177,1)}
        80:{2,3,5,7}:{(55,1),(56,1),(58,1),(92,1),(101,1),(104,1),(106,1),(147,1),(196,1)}
        81:{3,6}:{(56,1),(57,1)}
        82:{1,2,5,6}:{(57,1),(60,1),(94,1),(103,1),(107,1),(108,1),(135,1),(146,1),(170,1)}
        83:{2,4,6}:{(58,1),(59,1),(106,1),(108,1)}
        84:{3,5,6}:{(59,1),(60,1),(96,1),(108,1),(109,1)}
        85:{3,5}:{(61,1),(62,1),(110,1)}
        86:{2,4,5,7}:{(61,1),(63,1),(111,1),(112,1),(115,1),(156,1)}
        87:{1,4,6}:{(62,1),(65,1),(74,1),(110,1),(113,1),(153,1)}
        88:{3,4,7}:{(62,1),(63,1),(67,1),(111,1),(113,1)}
        89:{2,4,6,7}:{(63,1),(64,1),(77,1),(112,1),(114,1),(115,1),(187,1),(203,1)}
        90:{1,2,6}:{(65,1),(66,1),(78,1),(116,1)}
        91:{1,3,7}:{(65,1),(67,1),(113,1),(116,1)}
        92:{2,3,7}:{(66,1),(67,1),(69,1),(116,1)}
        93:{3,6,7}:{(67,1),(68,1),(81,1),(119,1),(186,1)}
        94:{1,2,5,7}:{(68,1),(71,1),(82,1),(115,1),(119,1),(120,1),(155,1)}
        95:{2,4,6,7}:{(69,1),(70,1),(72,1),(83,1),(118,1),(120,1),(159,1)}
        96:{3,5,7}:{(70,1),(71,1),(84,1),(120,1),(121,1)}
        97:{2,5,6,7}:{(72,1),(73,1),(120,1),(122,1)}
        98:{4,6,7}:{(73,1),(121,1)}
        99:{1,2,4}:{(74,1),(75,1),(78,1),(123,1)}
       100:{1,4,7}:{(74,1),(76,1),(79,1),(125,1),(189,1)}
       101:{2,3,4,7}:{(75,1),(76,1),(80,1),(124,1),(126,1),(159,1),(186,1),(187,1)}
       102:{3,4,6}:{(76,1),(77,1),(81,1),(125,1),(127,1),(131,1)}
       103:{2,5}:{(77,1),(127,1)}
       104:{1,2,5,7}:{(78,1),(79,1),(80,1),(116,1),(124,1),(128,1),(163,1)}
       105:{1,3,6}:{(79,1),(81,1),(125,1),(128,1),(153,1)}
       106:{2,3,6}:{(80,1),(81,1),(83,1),(128,1),(203,1)}
       107:{3,5,6}:{(81,1),(82,1),(119,1),(127,1),(131,1)}
       108:{2,5,6}:{(83,1),(84,1),(120,1)}
       109:{4,5,6}:{(84,1),(121,1),(131,1)}
       110:{1,5}:{(85,1),(87,1)}
       111:{3,5,7}:{(85,1),(86,1),(88,1),(133,1),(134,1)}
       112:{2,4,6}:{(86,1),(134,1),(135,1),(171,1)}
       113:{1,4,7}:{(87,1),(88,1),(91,1),(133,1)}
       114:{3,4,6,7}:{(88,1),(89,1),(93,1),(102,1),(134,1),(136,1),(137,1),(141,1),(171,1),(174,1),(195,1)}
       115:{2,5,7}:{(89,1),(103,1),(135,1),(137,1)}
       116:{1,2,7}:{(90,1),(91,1),(92,1)}
       117:{1,3,6,7}:{(91,1),(93,1),(105,1),(136,1),(138,1),(139,1),(195,1)}
       118:{2,3,6,7}:{(92,1),(93,1),(95,1),(106,1),(138,1),(140,1),(143,1)}
       119:{3,5,7}:{(93,1),(94,1),(107,1),(141,1)}
       120:{2,5,7}:{(95,1),(96,1),(108,1)}
       121:{4,5,7}:{(96,1),(98,1),(109,1),(141,1)}
       122:{2,4,6,7}:{(97,1),(98,1),(142,1),(143,1)}
       123:{1,3}:{(99,1)}
       124:{1,2,4,7}:{(99,1),(100,1),(101,1),(104,1),(144,1),(145,1)}
       125:{1,4,6}:{(100,1),(102,1),(105,1),(146,1)}
       126:{2,3,4,6}:{(101,1),(102,1),(106,1),(145,1),(147,1),(151,1),(181,1),(182,1),(199,1)}
       127:{3,5}:{(102,1),(103,1),(146,1),(148,1)}
       128:{1,2,6}:{(104,1),(105,1),(106,1)}
       129:{1,3,5,6}:{(105,1),(107,1),(139,1),(146,1),(149,1),(150,1),(170,1),(177,1),(179,1),(181,1),(195,1)}
       130:{2,3,5,6}:{(106,1),(107,1),(108,1),(140,1),(147,1),(149,1),(151,1),(152,1),(181,1)}
       131:{4,6}:{(107,1),(141,1),(148,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(142,1),(151,1),(152,1)}
       133:{1,5,7}:{(110,1),(111,1),(113,1),(153,1)}
       134:{3,6}:{(111,1),(112,1),(153,1)}
       135:{2,5,6}:{(112,1),(115,1),(154,1),(203,1)}
       136:{1,4,6,7}:{(113,1),(114,1),(117,1),(125,1),(153,1),(155,1),(158,1),(184,1)}
       137:{3,5,7}:{(114,1),(115,1),(127,1),(154,1),(155,1),(156,1)}
       138:{1,2,6,7}:{(116,1),(117,1),(118,1),(128,1),(157,1),(161,1),(203,1)}
       139:{1,3,5,7}:{(117,1),(119,1),(129,1),(155,1),(157,1),(158,1),(185,1),(186,1)}
       140:{2,3,5,7}:{(118,1),(119,1),(120,1),(130,1),(157,1),(159,1),(160,1),(186,1)}
       141:{4,7}:{(119,1),(131,1)}
       142:{2,4,5,7}:{(120,1),(121,1),(122,1),(132,1),(159,1),(160,1)}
       143:{3,6,7}:{(122,1),(160,1),(161,1)}
       144:{1,3,7}:{(123,1),(124,1),(162,1),(186,1)}
       145:{1,2,4,6}:{(124,1),(125,1),(126,1),(128,1),(162,1),(163,1),(189,1)}
       146:{1,5}:{(125,1),(127,1)}
       147:{2,3,5}:{(126,1),(127,1),(163,1),(165,1),(190,1),(191,1)}
       148:{4,5}:{(127,1),(131,1)}
       149:{1,2,5,6}:{(128,1),(129,1),(130,1),(157,1),(163,1),(166,1),(169,1),(191,1),(203,1)}
       150:{1,4,6}:{(129,1),(131,1),(158,1),(164,1),(167,1),(189,1)}
       151:{2,4,6}:{(130,1),(131,1),(159,1),(165,1),(168,1)}
       152:{3,5,6}:{(132,1),(160,1),(168,1),(169,1)}
       153:{1,6}:{(133,1),(134,1)}
       154:{3,5,6}:{(134,1),(135,1),(137,1),(170,1),(171,1),(195,1)}
       155:{1,5,7}:{(136,1),(137,1),(146,1),(170,1)}
       156:{4,5,7}:{(137,1),(141,1),(148,1),(171,1)}
       157:{1,2,5,7}:{(138,1),(139,1),(140,1),(149,1),(173,1),(176,1),(196,1)}
       158:{1,4,7}:{(139,1),(141,1),(150,1),(174,1)}
       159:{2,4,7}:{(140,1),(141,1),(151,1),(175,1)}
       160:{3,5,7}:{(142,1),(143,1),(152,1),(175,1),(176,1)}
       161:{1,6,7}:{(143,1),(176,1)}
       162:{1,3,6}:{(144,1),(145,1),(177,1),(181,1)}
       163:{1,2,5}:{(145,1),(146,1),(147,1),(177,1)}
       164:{1,4,5}:{(146,1),(148,1),(150,1),(179,1)}
       165:{2,4,5}:{(147,1),(148,1),(151,1),(180,1)}
       166:{1,2,4,6}:{(149,1),(150,1),(151,1),(173,1),(178,1),(181,1),(182,1),(183,1),(202,1)}
       167:{3,4,6}:{(150,1),(174,1),(179,1),(181,1),(182,1),(195,1),(199,1)}
       168:{3,4,6}:{(151,1),(152,1),(175,1),(180,1),(181,1),(183,1)}
       169:{1,5,6}:{(152,1),(176,1),(183,1)}
       170:{1,5,6}:{(153,1),(154,1),(155,1),(184,1)}
       171:{4,6}:{(154,1),(156,1)}
       172:{1,4,5,7}:{(155,1),(156,1),(158,1),(164,1),(184,1),(185,1)}
       173:{1,2,4,7}:{(157,1),(158,1),(159,1),(166,1),(186,1),(187,1),(188,1),(204,1)}
       174:{3,4,7}:{(158,1),(167,1),(185,1),(186,1),(187,1)}
       175:{3,4,7}:{(159,1),(160,1),(168,1),(186,1),(188,1)}
       176:{1,5,7}:{(160,1),(161,1),(169,1),(188,1)}
       177:{1,3,5}:{(162,1),(163,1),(189,1),(190,1)}
       178:{1,2,4,5}:{(163,1),(164,1),(165,1),(166,1),(189,1),(190,1),(191,1),(192,1),(206,1),(207,1)}
       179:{3,5}:{(164,1),(167,1),(191,1)}
       180:{3,4,5}:{(165,1),(168,1),(190,1),(192,1)}
       181:{3,6}:{(166,1),(186,1),(190,1)}
       182:{2,4,6}:{(167,1),(187,1),(191,1),(194,1),(203,1),(206,1)}
       183:{1,4,6}:{(168,1),(169,1),(188,1),(192,1),(193,1)}
       184:{1,4,6}:{(170,1),(171,1),(172,1),(195,1)}
       185:{3,5,7}:{(172,1),(174,1),(179,1),(195,1),(196,1)}
       186:{3,7}:{(173,1),(181,1)}
       187:{2,4,7}:{(174,1),(182,1),(196,1),(198,1)}
       188:{1,4,7}:{(175,1),(176,1),(183,1),(197,1)}
       189:{1,4}:{(177,1),(199,1)}
       190:{3,5}:{(178,1),(181,1),(199,1)}
       191:{2,5}:{(179,1),(182,1)}
       192:{1,4,5}:{(180,1),(183,1),(200,1)}
       193:{1,3,6}:{(181,1),(183,1),(197,1),(200,1),(202,1)}
       194:{2,3,6}:{(181,1),(182,1),(198,1),(201,1),(202,1)}
       195:{3,6}:{(184,1),(185,1),(203,1)}
       196:{2,5,7}:{(185,1),(187,1),(191,1),(203,1)}
       197:{1,3,7}:{(186,1),(188,1),(193,1),(204,1)}
       198:{2,3,7}:{(186,1),(187,1),(194,1),(204,1)}
       199:{3,4}:{(189,1),(190,1),(206,1)}
       200:{1,3,5}:{(190,1),(192,1),(193,1),(205,1),(207,1)}
       201:{2,3,5}:{(190,1),(191,1),(194,1),(206,1),(207,1),(209,1)}
       202:{1,2,6}:{(193,1),(194,1),(204,1),(207,1)}
       203:{2,6}:{(195,1),(196,1)}
       204:{1,2,7}:{(197,1),(198,1),(202,1)}
       205:{1,3,4}:{(199,1),(200,1),(208,1)}
       206:{2,4}:{(199,1),(201,1)}
       207:{1,2,5}:{(200,1),(201,1),(202,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{2,3}:{(208,1)}

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

 513 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(9,1),(12,1),(30,1),(32,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(50,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(21,1),(48,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(72,1),(79,1)}
         4:{1,2,4,5,7}:{(1,1),(9,1),(11,1),(12,1),(27,1),(28,1),(30,1),(39,1),(40,1),(71,1),(79,1),(112,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1)}
         6:{1,2,3,7}:{(15,1),(16,1),(129,1),(133,1),(146,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(17,1),(18,1),(41,1),(94,1),(95,1),(129,1)}
         8:{1,3,4,7}:{(3,1),(15,1),(19,1),(20,1),(41,1),(93,1),(98,1),(129,1)}
         9:{3,5,7}:{(3,1),(4,1),(21,1),(22,1),(92,1),(129,1)}
        10:{3,4,6}:{(3,1),(5,1),(21,1),(22,1),(58,1)}
        11:{1,2,4,6}:{(4,1),(21,1),(24,1),(44,1),(45,1),(48,1),(58,1)}
        12:{1,2,5}:{(5,1),(22,1)}
        13:{1,2,3,5,7}:{(6,1),(25,1),(26,1),(30,1),(32,1),(59,1),(62,1)}
        14:{3,4,5,7}:{(9,1),(27,1),(28,1),(29,1),(39,1),(59,1),(67,1),(75,1),(78,1),(79,1),(103,1),(117,1),(119,1),(136,1)}
        15:{1,2,4,7}:{(6,1),(7,1),(8,1),(30,1),(31,1),(116,1)}
        16:{1,2,3,6}:{(6,1),(31,1),(32,1),(113,1),(143,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(27,1),(30,1),(33,1),(34,1),(59,1),(115,1),(142,1)}
        18:{2,3,4,6}:{(7,1),(10,1),(31,1),(33,1),(34,1),(60,1),(72,1),(74,1),(113,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(28,1),(30,1),(35,1),(36,1),(59,1),(114,1),(141,1)}
        20:{1,3,4,6}:{(8,1),(10,1),(31,1),(35,1),(36,1),(60,1),(72,1),(77,1),(113,1)}
        21:{3,6}:{(9,1),(11,1)}
        22:{3,5}:{(10,1),(12,1),(39,1)}
        23:{1,2,4,6,7}:{(11,1),(37,1),(40,1),(63,1),(65,1),(69,1),(79,1),(112,1)}
        24:{1,2,5,6}:{(11,1),(12,1),(38,1),(40,1),(64,1),(66,1)}
        25:{1,2,4,7}:{(13,1),(41,1),(43,1),(50,1)}
        26:{1,2,3,6}:{(13,1),(43,1),(48,1),(80,1)}
        27:{2,4,5,7}:{(14,1),(17,1),(44,1),(53,1),(84,1),(95,1),(100,1),(135,1)}
        28:{1,4,5,7}:{(14,1),(19,1),(45,1),(56,1),(86,1),(97,1),(98,1),(134,1)}
        29:{3,4,6}:{(14,1),(21,1),(44,1),(45,1),(47,1),(58,1),(80,1),(122,1)}
        30:{1,2,5,7}:{(15,1),(17,1),(19,1),(48,1),(49,1),(132,1),(146,1)}
        31:{1,2,4,6}:{(15,1),(16,1),(18,1),(20,1),(48,1),(49,1),(50,1)}
        32:{1,2,3,5}:{(16,1),(49,1),(50,1),(92,1),(132,1),(133,1)}
        33:{2,3,6}:{(17,1),(21,1),(44,1),(48,1),(80,1)}
        34:{2,3,5}:{(18,1),(22,1),(49,1),(53,1),(81,1),(92,1)}
        35:{1,3,6}:{(19,1),(21,1),(45,1),(48,1),(80,1)}
        36:{1,3,5}:{(20,1),(22,1),(49,1),(56,1),(81,1),(92,1)}
        37:{3,6,7}:{(21,1),(23,1),(57,1),(129,1)}
        38:{3,5,6}:{(21,1),(22,1),(24,1),(57,1),(58,1)}
        39:{4,5}:{(22,1),(58,1)}
        40:{1,2,5,7}:{(23,1),(24,1),(57,1),(84,1),(86,1)}
        41:{3,4,7}:{(25,1),(59,1),(60,1),(72,1),(136,1)}
        42:{1,2,4,5,7}:{(25,1),(27,1),(28,1),(30,1),(59,1),(61,1),(62,1),(71,1),(103,1),(104,1),(112,1),(136,1)}
        43:{1,2,4,6}:{(25,1),(26,1),(60,1),(62,1)}
        44:{2,4,6}:{(27,1),(29,1),(33,1),(64,1)}
        45:{1,4,6}:{(28,1),(29,1),(35,1),(66,1)}
        46:{3,4,6,7}:{(29,1),(37,1),(63,1),(65,1),(67,1),(79,1),(101,1),(111,1),(117,1),(119,1),(136,1),(137,1),(139,1)}
        47:{3,5,6}:{(29,1),(64,1),(66,1),(67,1),(68,1)}
        48:{1,2,6}:{(30,1),(33,1),(35,1)}
        49:{1,2,5}:{(31,1),(34,1),(36,1)}
        50:{1,2,4}:{(32,1),(72,1)}
        51:{2,3,6,7}:{(33,1),(37,1),(63,1),(69,1),(73,1),(101,1),(137,1),(142,1)}
        52:{2,3,5,6}:{(33,1),(34,1),(38,1),(64,1),(70,1),(73,1),(74,1),(102,1),(107,1),(113,1)}
        53:{2,4,5}:{(34,1),(39,1),(74,1),(75,1),(103,1)}
        54:{1,3,6,7}:{(35,1),(37,1),(65,1),(69,1),(76,1),(101,1),(139,1),(141,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(38,1),(66,1),(70,1),(76,1),(77,1),(102,1),(110,1),(113,1)}
        56:{1,4,5}:{(36,1),(39,1),(77,1),(78,1),(103,1)}
        57:{3,5,7}:{(37,1),(38,1),(40,1),(79,1)}
        58:{4,6}:{(38,1),(39,1),(79,1)}
        59:{3,5,7}:{(41,1),(42,1),(80,1),(81,1),(92,1),(129,1)}
        60:{3,4,6}:{(41,1),(43,1),(80,1),(81,1),(122,1)}
        61:{1,2,4,6}:{(42,1),(44,1),(45,1),(48,1),(80,1),(83,1),(122,1)}
        62:{1,2,5}:{(43,1),(81,1)}
        63:{2,4,6,7}:{(44,1),(46,1),(51,1),(84,1),(95,1),(135,1),(145,1)}
        64:{2,5,6}:{(44,1),(47,1),(84,1)}
        65:{1,4,6,7}:{(45,1),(46,1),(54,1),(86,1),(98,1),(134,1),(144,1)}
        66:{1,5,6}:{(45,1),(47,1),(86,1)}
        67:{3,5,7}:{(46,1),(47,1),(84,1),(86,1),(89,1)}
        68:{4,5,6}:{(47,1),(58,1),(89,1),(122,1)}
        69:{1,2,6,7}:{(48,1),(51,1),(54,1),(90,1),(144,1),(145,1),(146,1)}
        70:{1,2,5,6}:{(48,1),(49,1),(52,1),(55,1),(90,1),(91,1),(125,1),(128,1)}
        71:{1,2,4,5}:{(49,1),(50,1),(53,1),(56,1),(91,1),(92,1),(97,1),(100,1),(132,1)}
        72:{3,4}:{(50,1),(92,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(57,1),(84,1),(90,1),(95,1),(121,1),(124,1),(129,1)}
        74:{2,4,6}:{(52,1),(53,1),(58,1),(95,1),(96,1),(122,1)}
        75:{3,4,5}:{(53,1),(92,1),(96,1),(97,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(57,1),(86,1),(90,1),(98,1),(121,1),(127,1),(129,1)}
        77:{1,4,6}:{(55,1),(56,1),(58,1),(98,1),(99,1),(122,1)}
        78:{3,4,5}:{(56,1),(92,1),(99,1),(100,1)}
        79:{4,7}:{(57,1),(58,1)}
        80:{3,6}:{(59,1),(61,1)}
        81:{3,5}:{(60,1),(62,1),(103,1)}
        82:{1,2,4,6,7}:{(61,1),(63,1),(65,1),(69,1),(101,1),(104,1),(112,1),(136,1)}
        83:{1,2,5,6}:{(61,1),(62,1),(64,1),(66,1),(102,1),(104,1)}
        84:{2,5,7}:{(63,1),(64,1),(67,1)}
        85:{2,4,5,6}:{(64,1),(68,1),(74,1),(106,1),(107,1)}
        86:{1,5,7}:{(65,1),(66,1),(67,1)}
        87:{1,4,5,6}:{(66,1),(68,1),(77,1),(109,1),(110,1)}
        88:{3,5,6,7}:{(67,1),(105,1),(108,1),(111,1),(137,1),(139,1)}
        89:{4,5,7}:{(67,1),(68,1),(79,1),(111,1),(136,1)}
        90:{1,2,5,7}:{(69,1),(70,1),(73,1),(76,1),(112,1),(138,1),(140,1)}
        91:{1,2,4,6}:{(70,1),(71,1),(74,1),(77,1),(112,1),(113,1),(118,1),(120,1),(143,1)}
        92:{3,5}:{(71,1),(72,1),(113,1)}
        93:{1,3,4}:{(72,1),(114,1),(116,1)}
        94:{2,3,4}:{(72,1),(115,1),(116,1)}
        95:{2,4,7}:{(73,1),(74,1),(79,1),(117,1),(136,1)}
        96:{3,4,6}:{(74,1),(75,1),(107,1),(113,1),(117,1),(118,1)}
        97:{1,4,5}:{(75,1),(114,1),(118,1)}
        98:{1,4,7}:{(76,1),(77,1),(79,1),(119,1),(136,1)}
        99:{3,4,6}:{(77,1),(78,1),(110,1),(113,1),(119,1),(120,1)}
       100:{2,4,5}:{(78,1),(115,1),(120,1)}
       101:{3,6,7}:{(80,1),(82,1),(121,1),(129,1)}
       102:{3,5,6}:{(80,1),(81,1),(83,1),(121,1),(122,1)}
       103:{4,5}:{(81,1),(122,1)}
       104:{1,2,5,7}:{(82,1),(83,1),(84,1),(86,1),(121,1)}
       105:{2,5,6,7}:{(84,1),(88,1),(123,1),(145,1)}
       106:{2,4,5,7}:{(84,1),(85,1),(89,1),(95,1),(123,1),(124,1)}
       107:{3,5,6}:{(85,1),(96,1),(124,1),(125,1)}
       108:{1,5,6,7}:{(86,1),(88,1),(126,1),(144,1)}
       109:{1,4,5,7}:{(86,1),(87,1),(89,1),(98,1),(126,1),(127,1)}
       110:{3,5,6}:{(87,1),(99,1),(127,1),(128,1)}
       111:{4,6,7}:{(88,1),(89,1)}
       112:{1,2,4,7}:{(90,1),(91,1),(95,1),(98,1),(129,1),(134,1),(135,1),(146,1)}
       113:{3,6}:{(91,1),(92,1),(129,1)}
       114:{1,3,5}:{(92,1),(93,1),(97,1),(130,1),(132,1)}
       115:{2,3,5}:{(92,1),(94,1),(100,1),(131,1),(132,1)}
       116:{1,2,4}:{(93,1),(94,1),(132,1),(133,1)}
       117:{3,4,7}:{(95,1),(96,1),(124,1),(129,1),(134,1)}
       118:{1,4,6}:{(96,1),(97,1),(125,1),(130,1),(134,1)}
       119:{3,4,7}:{(98,1),(99,1),(127,1),(129,1),(135,1)}
       120:{2,4,6}:{(99,1),(100,1),(128,1),(131,1),(135,1)}
       121:{3,5,7}:{(101,1),(102,1),(104,1),(136,1)}
       122:{4,6}:{(102,1),(103,1),(136,1)}
       123:{2,4,6,7}:{(105,1),(106,1),(111,1),(137,1)}
       124:{3,5,7}:{(106,1),(107,1),(117,1),(137,1),(138,1)}
       125:{1,5,6}:{(107,1),(118,1),(138,1)}
       126:{1,4,6,7}:{(108,1),(109,1),(111,1),(139,1)}
       127:{3,5,7}:{(109,1),(110,1),(119,1),(139,1),(140,1)}
       128:{2,5,6}:{(110,1),(120,1),(140,1)}
       129:{3,7}:{(112,1),(113,1)}
       130:{1,3,6}:{(113,1),(114,1),(118,1),(141,1),(143,1)}
       131:{2,3,6}:{(113,1),(115,1),(120,1),(142,1),(143,1)}
       132:{1,2,5}:{(114,1),(115,1),(116,1),(143,1)}
       133:{1,2,3}:{(116,1)}
       134:{1,4,7}:{(117,1),(118,1),(138,1),(141,1)}
       135:{2,4,7}:{(119,1),(120,1),(140,1),(142,1)}
       136:{4,7}:{(121,1),(122,1)}
       137:{3,6,7}:{(123,1),(124,1),(144,1)}
       138:{1,5,7}:{(124,1),(125,1),(134,1),(144,1)}
       139:{3,6,7}:{(126,1),(127,1),(145,1)}
       140:{2,5,7}:{(127,1),(128,1),(135,1),(145,1)}
       141:{1,3,7}:{(129,1),(130,1),(134,1),(146,1)}
       142:{2,3,7}:{(129,1),(131,1),(135,1),(146,1)}
       143:{1,2,6}:{(130,1),(131,1),(132,1),(146,1)}
       144:{1,6,7}:{(137,1),(138,1)}
       145:{2,6,7}:{(139,1),(140,1)}
       146:{1,2,7}:{(141,1),(142,1),(143,1)}

 514 :   0:{1,2,3,5}:{(1,1),(2,1),(7,1),(11,1),(12,1),(31,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(22,1),(48,1)}
         2:{1,2,4}:{(0,1),(3,1)}
         3:{3,4}:{(2,1),(11,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(39,1)}
         5:{1,2,3,7}:{(1,1),(13,1),(37,1),(67,1)}
         6:{1,2,4,5}:{(2,1),(11,1),(12,1),(14,1),(28,1),(29,1),(31,1),(34,1)}
         7:{1,2,3}:{(17,1)}
         8:{2,3,4}:{(3,1),(17,1),(18,1),(40,1)}
         9:{1,3,4}:{(3,1),(17,1),(19,1),(40,1)}
        10:{3,4,6}:{(3,1),(4,1),(20,1),(21,1),(22,1),(51,1),(54,1)}
        11:{3,5}:{(3,1),(6,1),(22,1)}
        12:{1,2,5}:{(4,1),(20,1)}
        13:{1,2,4,7}:{(4,1),(5,1),(21,1),(24,1)}
        14:{1,2,4,6}:{(6,1),(22,1),(23,1),(25,1),(44,1),(45,1),(48,1),(51,1)}
        15:{1,2,3,5}:{(7,1),(26,1),(27,1),(31,1),(57,1),(58,1)}
        16:{3,4,5}:{(11,1),(28,1),(29,1),(30,1),(34,1),(57,1),(83,1)}
        17:{1,2,4}:{(7,1),(8,1),(9,1),(31,1)}
        18:{2,3,5}:{(8,1),(11,1),(28,1),(31,1),(32,1),(57,1)}
        19:{1,3,5}:{(9,1),(11,1),(29,1),(31,1),(33,1),(57,1)}
        20:{3,5}:{(10,1),(12,1),(34,1)}
        21:{3,4,7}:{(10,1),(13,1),(36,1),(37,1),(68,1)}
        22:{3,6}:{(11,1),(14,1),(37,1)}
        23:{1,2,5,6}:{(12,1),(14,1),(35,1),(38,1),(39,1),(61,1),(63,1)}
        24:{1,2,5,7}:{(12,1),(13,1),(36,1),(39,1)}
        25:{1,2,4,7}:{(14,1),(37,1),(38,1),(62,1),(64,1),(67,1),(68,1)}
        26:{1,2,3,6}:{(15,1),(41,1),(42,1),(48,1),(73,1)}
        27:{1,2,4}:{(15,1),(40,1)}
        28:{2,4,5}:{(16,1),(18,1),(44,1)}
        29:{1,4,5}:{(16,1),(19,1),(45,1)}
        30:{3,4,6}:{(16,1),(22,1),(44,1),(45,1),(46,1),(47,1),(51,1),(73,1),(93,1)}
        31:{1,2,5}:{(17,1),(18,1),(19,1),(48,1)}
        32:{2,3,6}:{(18,1),(22,1),(44,1),(48,1),(49,1),(73,1)}
        33:{1,3,6}:{(19,1),(22,1),(45,1),(48,1),(50,1),(73,1)}
        34:{4,5}:{(20,1),(51,1)}
        35:{3,5,6}:{(20,1),(22,1),(23,1),(51,1),(53,1),(54,1),(82,1)}
        36:{3,5,7}:{(20,1),(21,1),(24,1),(52,1),(54,1)}
        37:{3,7}:{(22,1),(25,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(53,1),(55,1),(77,1),(78,1)}
        39:{1,2,6}:{(24,1),(54,1)}
        40:{3,4}:{(27,1),(57,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(56,1),(58,1),(59,1),(88,1)}
        42:{1,2,3,7}:{(26,1),(59,1),(67,1),(86,1)}
        43:{1,2,4,5}:{(27,1),(28,1),(29,1),(31,1),(57,1),(58,1),(60,1),(83,1)}
        44:{2,4,6}:{(28,1),(30,1),(32,1),(61,1),(62,1)}
        45:{1,4,6}:{(29,1),(30,1),(33,1),(63,1),(64,1)}
        46:{3,5,6}:{(30,1),(61,1),(63,1),(65,1),(66,1)}
        47:{3,4,7}:{(30,1),(37,1),(62,1),(64,1),(66,1),(68,1),(86,1),(99,1)}
        48:{1,2,6}:{(31,1),(32,1),(33,1),(67,1)}
        49:{2,3,7}:{(32,1),(37,1),(62,1),(67,1),(86,1)}
        50:{1,3,7}:{(33,1),(37,1),(64,1),(67,1),(86,1)}
        51:{4,6}:{(34,1),(35,1),(68,1)}
        52:{4,5,7}:{(34,1),(36,1),(68,1),(69,1),(92,1)}
        53:{3,5,7}:{(35,1),(37,1),(38,1),(68,1),(70,1),(92,1)}
        54:{3,6}:{(36,1),(39,1),(69,1)}
        55:{1,2,6,7}:{(38,1),(39,1),(70,1),(89,1),(90,1)}
        56:{3,4,6}:{(40,1),(41,1),(71,1),(72,1),(73,1),(93,1),(96,1)}
        57:{3,5}:{(40,1),(43,1),(73,1)}
        58:{1,2,5}:{(41,1),(71,1)}
        59:{1,2,4,7}:{(41,1),(42,1),(72,1),(75,1)}
        60:{1,2,4,6}:{(43,1),(44,1),(45,1),(48,1),(73,1),(74,1),(76,1),(93,1)}
        61:{2,5,6}:{(44,1),(46,1),(77,1)}
        62:{2,4,7}:{(44,1),(47,1),(49,1),(77,1)}
        63:{1,5,6}:{(45,1),(46,1),(78,1)}
        64:{1,4,7}:{(45,1),(47,1),(50,1),(78,1)}
        65:{4,5,6}:{(46,1),(51,1),(79,1),(82,1),(93,1),(103,1)}
        66:{3,5,7}:{(46,1),(47,1),(77,1),(78,1),(79,1),(80,1)}
        67:{1,2,7}:{(48,1),(49,1),(50,1)}
        68:{4,7}:{(51,1),(53,1)}
        69:{4,6}:{(52,1),(54,1),(82,1)}
        70:{3,6,7}:{(53,1),(54,1),(55,1),(81,1)}
        71:{3,5}:{(56,1),(58,1),(83,1)}
        72:{3,4,7}:{(56,1),(59,1),(85,1),(86,1),(99,1)}
        73:{3,6}:{(57,1),(60,1),(86,1)}
        74:{1,2,5,6}:{(58,1),(60,1),(61,1),(63,1),(84,1),(87,1),(88,1)}
        75:{1,2,5,7}:{(58,1),(59,1),(85,1),(88,1)}
        76:{1,2,4,7}:{(60,1),(62,1),(64,1),(67,1),(86,1),(87,1),(99,1)}
        77:{2,5,7}:{(61,1),(62,1),(66,1),(89,1)}
        78:{1,5,7}:{(63,1),(64,1),(66,1),(90,1)}
        79:{4,5,7}:{(65,1),(66,1),(68,1),(91,1),(92,1),(99,1),(104,1)}
        80:{3,6,7}:{(66,1),(89,1),(90,1),(91,1)}
        81:{4,6,7}:{(68,1),(69,1),(70,1),(92,1)}
        82:{5,6}:{(69,1),(92,1)}
        83:{4,5}:{(71,1),(93,1)}
        84:{3,5,6}:{(71,1),(73,1),(74,1),(93,1),(95,1),(96,1),(103,1)}
        85:{3,5,7}:{(71,1),(72,1),(75,1),(94,1),(96,1)}
        86:{3,7}:{(73,1),(76,1)}
        87:{1,2,5,7}:{(74,1),(76,1),(77,1),(78,1),(95,1),(97,1)}
        88:{1,2,6}:{(75,1),(96,1)}
        89:{2,6,7}:{(77,1),(80,1)}
        90:{1,6,7}:{(78,1),(80,1)}
        91:{4,6,7}:{(79,1),(80,1),(98,1)}
        92:{5,7}:{(81,1),(82,1)}
        93:{4,6}:{(83,1),(84,1),(99,1)}
        94:{4,5,7}:{(83,1),(85,1),(99,1),(100,1),(104,1)}
        95:{3,5,7}:{(84,1),(86,1),(87,1),(99,1),(101,1),(104,1)}
        96:{3,6}:{(85,1),(88,1),(100,1)}
        97:{1,2,6,7}:{(87,1),(88,1),(89,1),(90,1),(101,1)}
        98:{5,6,7}:{(91,1),(92,1),(104,1)}
        99:{4,7}:{(93,1),(95,1)}
       100:{4,6}:{(94,1),(96,1),(103,1)}
       101:{3,6,7}:{(95,1),(96,1),(97,1),(102,1)}
       102:{4,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 515 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(33,1),(60,1)}
         1:{1,2,3,5}:{(0,1),(5,1),(6,1),(17,1),(20,1),(45,1)}
         2:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(23,1)}
         3:{1,2,3,7}:{(0,1),(7,1),(48,1),(75,1)}
         4:{3,4,6}:{(2,1),(8,1),(9,1),(10,1),(26,1),(29,1),(33,1)}
         5:{1,2,4}:{(1,1),(10,1)}
         6:{1,2,5}:{(2,1),(8,1)}
         7:{1,2,4,7}:{(2,1),(3,1),(9,1),(13,1)}
         8:{3,5}:{(4,1),(6,1),(14,1)}
         9:{3,4,7}:{(4,1),(7,1),(16,1),(42,1),(48,1)}
        10:{3,4}:{(5,1),(20,1)}
        11:{1,2,4,5}:{(5,1),(6,1),(14,1),(20,1),(21,1),(39,1),(40,1),(45,1)}
        12:{1,2,5,6}:{(6,1),(15,1),(21,1),(22,1),(23,1),(66,1),(67,1)}
        13:{1,2,5,7}:{(6,1),(7,1),(16,1),(23,1)}
        14:{4,5}:{(8,1),(26,1)}
        15:{3,5,6}:{(8,1),(12,1),(26,1),(28,1),(29,1),(33,1),(59,1)}
        16:{3,5,7}:{(8,1),(9,1),(13,1),(27,1),(29,1)}
        17:{1,2,3}:{(30,1)}
        18:{2,3,4}:{(10,1),(30,1),(31,1),(53,1)}
        19:{1,3,4}:{(10,1),(30,1),(32,1),(53,1)}
        20:{3,5}:{(10,1),(11,1),(33,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(26,1),(33,1),(34,1),(55,1),(56,1),(60,1)}
        22:{1,2,5,7}:{(12,1),(28,1),(34,1),(35,1),(80,1),(81,1)}
        23:{1,2,6}:{(13,1),(29,1)}
        24:{1,2,3,5}:{(17,1),(36,1),(38,1),(45,1),(64,1),(70,1)}
        25:{3,4,5}:{(14,1),(20,1),(39,1),(40,1),(41,1),(70,1),(86,1)}
        26:{4,6}:{(14,1),(15,1),(42,1)}
        27:{4,5,7}:{(14,1),(16,1),(42,1),(43,1),(74,1)}
        28:{3,5,7}:{(15,1),(22,1),(42,1),(44,1),(48,1),(74,1)}
        29:{3,6}:{(16,1),(23,1),(43,1)}
        30:{1,2,4}:{(17,1),(18,1),(19,1),(45,1)}
        31:{2,3,5}:{(18,1),(20,1),(39,1),(45,1),(46,1),(70,1)}
        32:{1,3,5}:{(19,1),(20,1),(40,1),(45,1),(47,1),(70,1)}
        33:{3,6}:{(20,1),(21,1),(48,1)}
        34:{1,2,4,7}:{(21,1),(22,1),(42,1),(48,1),(72,1),(73,1),(75,1)}
        35:{1,2,6,7}:{(22,1),(23,1),(44,1),(91,1),(92,1)}
        36:{1,2,3,6}:{(24,1),(49,1),(50,1),(60,1),(84,1)}
        37:{4,5,6}:{(26,1),(51,1),(52,1),(59,1),(94,1),(103,1)}
        38:{1,2,4}:{(24,1),(53,1)}
        39:{2,4,5}:{(25,1),(31,1),(55,1)}
        40:{1,4,5}:{(25,1),(32,1),(56,1)}
        41:{3,4,6}:{(25,1),(26,1),(33,1),(51,1),(55,1),(56,1),(57,1),(84,1),(94,1)}
        42:{4,7}:{(26,1),(28,1)}
        43:{4,6}:{(27,1),(29,1),(59,1)}
        44:{3,6,7}:{(28,1),(29,1),(35,1),(58,1)}
        45:{1,2,5}:{(30,1),(31,1),(32,1),(60,1)}
        46:{2,3,6}:{(31,1),(33,1),(55,1),(60,1),(61,1),(84,1)}
        47:{1,3,6}:{(32,1),(33,1),(56,1),(60,1),(62,1),(84,1)}
        48:{3,7}:{(33,1),(34,1)}
        49:{1,2,4,6}:{(36,1),(38,1),(63,1),(64,1),(65,1),(90,1)}
        50:{1,2,3,7}:{(36,1),(65,1),(75,1),(93,1)}
        51:{3,5,6}:{(37,1),(41,1),(66,1),(67,1),(68,1)}
        52:{4,5,7}:{(37,1),(42,1),(68,1),(69,1),(74,1),(99,1),(104,1)}
        53:{3,4}:{(38,1),(70,1)}
        54:{1,2,4,5}:{(38,1),(39,1),(40,1),(45,1),(64,1),(70,1),(71,1),(86,1)}
        55:{2,4,6}:{(39,1),(41,1),(46,1),(66,1),(72,1)}
        56:{1,4,6}:{(40,1),(41,1),(47,1),(67,1),(73,1)}
        57:{3,4,7}:{(41,1),(42,1),(48,1),(68,1),(72,1),(73,1),(93,1),(99,1)}
        58:{4,6,7}:{(42,1),(43,1),(44,1),(74,1)}
        59:{5,6}:{(43,1),(74,1)}
        60:{1,2,6}:{(45,1),(46,1),(47,1),(75,1)}
        61:{2,3,7}:{(46,1),(48,1),(72,1),(75,1),(93,1)}
        62:{1,3,7}:{(47,1),(48,1),(73,1),(75,1),(93,1)}
        63:{3,4,6}:{(49,1),(53,1),(76,1),(77,1),(84,1),(94,1),(97,1)}
        64:{1,2,5}:{(49,1),(76,1)}
        65:{1,2,4,7}:{(49,1),(50,1),(77,1),(79,1)}
        66:{2,5,6}:{(51,1),(55,1),(80,1)}
        67:{1,5,6}:{(51,1),(56,1),(81,1)}
        68:{3,5,7}:{(51,1),(52,1),(57,1),(80,1),(81,1),(82,1)}
        69:{4,6,7}:{(52,1),(82,1),(83,1)}
        70:{3,5}:{(53,1),(54,1),(84,1)}
        71:{1,2,4,6}:{(54,1),(55,1),(56,1),(60,1),(78,1),(84,1),(85,1),(94,1)}
        72:{2,4,7}:{(55,1),(57,1),(61,1),(80,1)}
        73:{1,4,7}:{(56,1),(57,1),(62,1),(81,1)}
        74:{5,7}:{(58,1),(59,1)}
        75:{1,2,7}:{(60,1),(61,1),(62,1)}
        76:{3,5}:{(63,1),(64,1),(86,1)}
        77:{3,4,7}:{(63,1),(65,1),(88,1),(93,1),(99,1)}
        78:{1,2,5,6}:{(64,1),(66,1),(67,1),(71,1),(87,1),(89,1),(90,1)}
        79:{1,2,5,7}:{(64,1),(65,1),(88,1),(90,1)}
        80:{2,5,7}:{(66,1),(68,1),(72,1),(91,1)}
        81:{1,5,7}:{(67,1),(68,1),(73,1),(92,1)}
        82:{3,6,7}:{(68,1),(69,1),(91,1),(92,1)}
        83:{5,6,7}:{(69,1),(74,1),(104,1)}
        84:{3,6}:{(70,1),(71,1),(93,1)}
        85:{1,2,4,7}:{(71,1),(72,1),(73,1),(75,1),(89,1),(93,1),(99,1)}
        86:{4,5}:{(76,1),(94,1)}
        87:{3,5,6}:{(76,1),(78,1),(84,1),(94,1),(96,1),(97,1),(103,1)}
        88:{3,5,7}:{(76,1),(77,1),(79,1),(95,1),(97,1)}
        89:{1,2,5,7}:{(78,1),(80,1),(81,1),(85,1),(96,1),(98,1)}
        90:{1,2,6}:{(79,1),(97,1)}
        91:{2,6,7}:{(80,1),(82,1)}
        92:{1,6,7}:{(81,1),(82,1)}
        93:{3,7}:{(84,1),(85,1)}
        94:{4,6}:{(86,1),(87,1),(99,1)}
        95:{4,5,7}:{(86,1),(88,1),(99,1),(100,1),(104,1)}
        96:{3,5,7}:{(87,1),(89,1),(93,1),(99,1),(101,1),(104,1)}
        97:{3,6}:{(88,1),(90,1),(100,1)}
        98:{1,2,6,7}:{(89,1),(90,1),(91,1),(92,1),(101,1)}
        99:{4,7}:{(94,1),(96,1)}
       100:{4,6}:{(95,1),(97,1),(103,1)}
       101:{3,6,7}:{(96,1),(97,1),(98,1),(102,1)}
       102:{4,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 516 :   0:{1,2,3,7}:{(1,1),(2,1),(44,1),(68,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(4,1),(5,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(34,1),(58,1)}
         3:{3,4,7}:{(1,1),(7,1),(8,1),(40,1),(44,1)}
         4:{1,2,5,7}:{(1,1),(7,1),(9,1),(10,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(9,1),(10,1),(11,1)}
         6:{1,2,3,5}:{(2,1),(10,1),(11,1),(25,1),(47,1),(48,1)}
         7:{3,5,7}:{(3,1),(4,1),(12,1),(13,1),(14,1)}
         8:{3,4,6}:{(3,1),(5,1),(13,1),(14,1),(18,1),(31,1),(34,1)}
         9:{1,2,6}:{(4,1),(13,1)}
        10:{1,2,5}:{(5,1),(14,1)}
        11:{1,2,4}:{(6,1),(18,1)}
        12:{4,5,7}:{(7,1),(19,1),(22,1),(38,1),(40,1)}
        13:{3,6}:{(7,1),(9,1),(19,1)}
        14:{3,5}:{(8,1),(10,1),(22,1)}
        15:{1,2,6,7}:{(9,1),(20,1),(23,1),(80,1),(81,1)}
        16:{1,2,5,6}:{(9,1),(10,1),(21,1),(23,1),(24,1),(62,1),(63,1)}
        17:{1,2,4,5}:{(10,1),(11,1),(22,1),(24,1),(25,1),(42,1),(43,1),(47,1)}
        18:{3,4}:{(11,1),(25,1)}
        19:{4,6}:{(12,1),(13,1),(29,1)}
        20:{3,6,7}:{(13,1),(15,1),(28,1),(30,1)}
        21:{3,5,6}:{(13,1),(14,1),(16,1),(29,1),(30,1),(31,1),(34,1)}
        22:{4,5}:{(14,1),(31,1)}
        23:{1,2,5,7}:{(15,1),(16,1),(30,1),(33,1),(72,1),(73,1)}
        24:{1,2,4,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(53,1),(54,1),(58,1)}
        25:{3,5}:{(17,1),(18,1),(34,1)}
        26:{1,3,4}:{(18,1),(35,1),(37,1),(77,1)}
        27:{2,3,4}:{(18,1),(36,1),(37,1),(77,1)}
        28:{4,6,7}:{(19,1),(20,1),(38,1),(40,1)}
        29:{5,6}:{(19,1),(38,1)}
        30:{3,5,7}:{(20,1),(21,1),(23,1),(38,1),(40,1),(44,1)}
        31:{4,6}:{(21,1),(22,1),(40,1)}
        32:{3,4,5}:{(22,1),(25,1),(41,1),(42,1),(43,1),(67,1),(96,1)}
        33:{1,2,4,7}:{(23,1),(24,1),(40,1),(44,1),(64,1),(65,1),(68,1)}
        34:{3,6}:{(24,1),(25,1),(44,1)}
        35:{1,3,5}:{(25,1),(26,1),(42,1),(45,1),(47,1),(67,1)}
        36:{2,3,5}:{(25,1),(27,1),(43,1),(46,1),(47,1),(67,1)}
        37:{1,2,4}:{(26,1),(27,1),(47,1),(48,1)}
        38:{5,7}:{(28,1),(29,1)}
        39:{4,5,6}:{(29,1),(31,1),(50,1),(51,1),(90,1),(104,1)}
        40:{4,7}:{(30,1),(31,1)}
        41:{3,4,6}:{(31,1),(32,1),(34,1),(51,1),(52,1),(53,1),(54,1),(76,1),(90,1)}
        42:{1,4,5}:{(32,1),(35,1),(53,1)}
        43:{2,4,5}:{(32,1),(36,1),(54,1)}
        44:{3,7}:{(33,1),(34,1)}
        45:{1,3,6}:{(34,1),(35,1),(53,1),(56,1),(58,1),(76,1)}
        46:{2,3,6}:{(34,1),(36,1),(54,1),(57,1),(58,1),(76,1)}
        47:{1,2,5}:{(35,1),(36,1),(37,1),(58,1)}
        48:{1,2,3}:{(37,1)}
        49:{5,6,7}:{(38,1),(60,1),(102,1)}
        50:{4,5,7}:{(38,1),(39,1),(40,1),(60,1),(61,1),(95,1),(102,1)}
        51:{3,5,6}:{(39,1),(41,1),(61,1),(62,1),(63,1)}
        52:{3,4,7}:{(40,1),(41,1),(44,1),(61,1),(64,1),(65,1),(84,1),(95,1)}
        53:{1,4,6}:{(41,1),(42,1),(45,1),(62,1),(64,1)}
        54:{2,4,6}:{(41,1),(43,1),(46,1),(63,1),(65,1)}
        55:{1,2,4,5}:{(42,1),(43,1),(47,1),(66,1),(67,1),(70,1),(87,1),(96,1)}
        56:{1,3,7}:{(44,1),(45,1),(64,1),(68,1),(84,1)}
        57:{2,3,7}:{(44,1),(46,1),(65,1),(68,1),(84,1)}
        58:{1,2,6}:{(45,1),(46,1),(47,1),(68,1)}
        59:{1,2,3,5}:{(47,1),(48,1),(67,1),(69,1),(70,1),(87,1)}
        60:{4,6,7}:{(49,1),(50,1),(71,1)}
        61:{3,5,7}:{(50,1),(51,1),(52,1),(71,1),(72,1),(73,1)}
        62:{1,5,6}:{(51,1),(53,1),(72,1)}
        63:{2,5,6}:{(51,1),(54,1),(73,1)}
        64:{1,4,7}:{(52,1),(53,1),(56,1),(72,1)}
        65:{2,4,7}:{(52,1),(54,1),(57,1),(73,1)}
        66:{1,2,4,6}:{(53,1),(54,1),(55,1),(58,1),(74,1),(75,1),(76,1),(90,1)}
        67:{3,5}:{(55,1),(76,1),(77,1)}
        68:{1,2,7}:{(56,1),(57,1),(58,1)}
        69:{1,2,3,6}:{(58,1),(59,1),(76,1),(78,1),(79,1)}
        70:{1,2,4}:{(59,1),(77,1)}
        71:{3,6,7}:{(60,1),(61,1),(80,1),(81,1)}
        72:{1,5,7}:{(61,1),(62,1),(64,1),(80,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1),(81,1)}
        74:{1,2,5,6}:{(62,1),(63,1),(66,1),(82,1),(83,1),(87,1),(98,1)}
        75:{1,2,4,7}:{(64,1),(65,1),(66,1),(68,1),(82,1),(84,1),(95,1)}
        76:{3,6}:{(66,1),(67,1),(84,1)}
        77:{3,4}:{(67,1),(70,1)}
        78:{1,2,3,7}:{(68,1),(69,1),(84,1),(86,1)}
        79:{1,2,4,6}:{(69,1),(70,1),(85,1),(86,1),(87,1),(98,1)}
        80:{1,6,7}:{(71,1),(72,1)}
        81:{2,6,7}:{(71,1),(73,1)}
        82:{1,2,5,7}:{(72,1),(73,1),(74,1),(75,1),(88,1),(89,1)}
        83:{3,5,6}:{(74,1),(76,1),(89,1),(90,1),(92,1),(101,1),(104,1)}
        84:{3,7}:{(75,1),(76,1)}
        85:{3,4,6}:{(76,1),(77,1),(79,1),(90,1),(91,1),(92,1),(101,1)}
        86:{1,2,4,7}:{(78,1),(79,1),(91,1),(93,1)}
        87:{1,2,5}:{(79,1),(92,1)}
        88:{1,2,6,7}:{(80,1),(81,1),(82,1),(94,1),(98,1)}
        89:{3,5,7}:{(82,1),(83,1),(84,1),(94,1),(95,1),(102,1)}
        90:{4,6}:{(83,1),(95,1),(96,1)}
        91:{3,4,7}:{(84,1),(85,1),(86,1),(95,1),(97,1)}
        92:{3,5}:{(85,1),(87,1),(96,1)}
        93:{1,2,5,7}:{(86,1),(87,1),(97,1),(98,1)}
        94:{3,6,7}:{(88,1),(89,1),(99,1),(101,1)}
        95:{4,7}:{(89,1),(90,1)}
        96:{4,5}:{(90,1),(92,1)}
        97:{3,5,7}:{(91,1),(92,1),(93,1),(100,1),(101,1)}
        98:{1,2,6}:{(93,1),(101,1)}
        99:{4,6,7}:{(94,1),(95,1),(102,1),(103,1)}
       100:{4,5,7}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{5,7}:{(99,1),(104,1)}
       103:{4,6}:{(100,1),(101,1),(104,1)}
       104:{5,6}:{(102,1),(103,1)}

 517 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(2,1),(3,1)}
        2:{3,4}:{(1,1),(4,1)}
        3:{1,2,5}:{(1,1),(4,1),(5,1)}
        4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
        5:{1,2,6}:{(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:{1,2,7}:{(5,1),(10,1)}
        9:{4,6}:{(6,1),(7,1),(11,1),(12,1)}
       10:{3,7}:{(7,1),(8,1),(12,1)}
       11:{5,6}:{(9,1),(13,1)}
       12:{4,7}:{(9,1),(10,1),(13,1)}
       13:{5,7}:{(11,1),(12,1),(14,1)}
       14:{6,7}:{(13,1)}

 518 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(11,1),(19,1),(39,1),(45,1),(85,1),(98,1)}
         1:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(27,1),(31,1),(72,1)}
         2:{2,3,5}:{(0,1),(6,1),(8,1),(29,1),(108,1),(124,1)}
         3:{2,3,4,7}:{(0,1),(7,1),(9,1),(25,1),(64,1),(71,1),(111,1),(206,1)}
         4:{2,3,5,6}:{(2,1),(10,1),(11,1),(12,1),(19,1),(35,1),(39,1),(54,1),(103,1)}
         5:{1,3,6}:{(1,1),(13,1),(14,1),(39,1)}
         6:{1,2,5}:{(1,1),(2,1),(13,1),(99,1)}
         7:{1,2,4,7}:{(1,1),(3,1),(14,1),(16,1),(46,1),(208,1)}
         8:{2,4,5}:{(2,1),(11,1),(17,1),(146,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(16,1),(18,1),(19,1),(50,1),(132,1),(198,1),(201,1)}
        10:{1,2,5,6}:{(4,1),(6,1),(21,1),(22,1),(23,1),(31,1),(55,1),(108,1),(152,1)}
        11:{2,4,6}:{(4,1),(8,1),(24,1),(25,1),(128,1)}
        12:{2,3,5,7}:{(4,1),(23,1),(25,1),(26,1),(56,1),(64,1),(68,1),(117,1)}
        13:{1,3,5}:{(5,1),(6,1),(27,1),(29,1)}
        14:{1,3,7}:{(5,1),(7,1),(64,1),(209,1)}
        15:{1,2,4,5}:{(6,1),(8,1),(22,1),(27,1),(29,1),(32,1),(58,1),(70,1),(73,1),(108,1)}
        16:{1,2,5,7}:{(6,1),(7,1),(9,1),(28,1),(31,1),(204,1),(207,1)}
        17:{3,4,5}:{(8,1),(24,1),(29,1),(32,1)}
        18:{2,4,5,7}:{(8,1),(9,1),(25,1),(33,1),(34,1),(68,1),(187,1),(191,1)}
        19:{2,3,6}:{(9,1),(31,1),(34,1),(76,1),(152,1)}
        20:{2,4,5,6}:{(11,1),(35,1),(36,1),(54,1),(105,1)}
        21:{1,3,5,6}:{(10,1),(13,1),(37,1),(38,1),(39,1),(47,1),(83,1),(99,1),(103,1),(133,1),(134,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(15,1),(37,1),(39,1),(40,1),(42,1),(85,1),(88,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(38,1),(40,1),(41,1),(80,1),(132,1)}
        24:{3,4,6}:{(11,1),(17,1),(35,1),(39,1),(42,1),(43,1)}
        25:{2,4,7}:{(11,1),(12,1),(43,1),(140,1)}
        26:{2,3,6,7}:{(12,1),(19,1),(41,1),(44,1),(81,1),(91,1),(198,1)}
        27:{1,4}:{(13,1),(45,1)}
        28:{1,3,5,7}:{(13,1),(14,1),(16,1),(46,1),(47,1),(50,1),(99,1),(196,1),(197,1),(200,1)}
        29:{3,5}:{(15,1),(39,1),(45,1)}
        30:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(40,1),(46,1),(50,1),(51,1),(52,1),(84,1),(92,1),(97,1),(99,1),(100,1),(132,1),(140,1),(145,1),(146,1),(171,1),(172,1),(177,1),(196,1)}
        31:{1,2,6}:{(16,1),(19,1),(47,1)}
        32:{1,4,5}:{(17,1),(42,1),(48,1)}
        33:{3,4,5,7}:{(17,1),(18,1),(43,1),(50,1),(52,1),(53,1),(94,1),(140,1),(146,1),(173,1),(178,1)}
        34:{2,4,6}:{(18,1),(19,1),(53,1),(54,1)}
        35:{3,5,6}:{(20,1),(24,1),(55,1),(56,1)}
        36:{2,4,5,7}:{(20,1),(25,1),(56,1),(57,1),(68,1),(119,1)}
        37:{1,4,6}:{(21,1),(27,1),(58,1),(59,1),(60,1),(128,1)}
        38:{1,3,5,7}:{(21,1),(23,1),(60,1),(61,1),(64,1),(109,1),(113,1),(117,1)}
        39:{3,6}:{(22,1),(29,1),(64,1)}
        40:{1,2,4,7}:{(22,1),(23,1),(25,1),(60,1),(64,1),(66,1),(111,1),(114,1)}
        41:{1,2,6,7}:{(23,1),(26,1),(31,1),(61,1),(106,1),(152,1),(204,1)}
        42:{1,4,6}:{(24,1),(32,1),(55,1),(62,1),(66,1)}
        43:{3,4,7}:{(24,1),(25,1),(56,1),(64,1),(66,1)}
        44:{2,4,6,7}:{(25,1),(26,1),(34,1),(67,1),(68,1),(183,1),(187,1)}
        45:{3,4}:{(27,1),(29,1),(70,1)}
        46:{1,4,7}:{(27,1),(28,1),(71,1),(72,1),(205,1)}
        47:{1,3,6}:{(28,1),(31,1),(72,1),(76,1),(203,1)}
        48:{1,3,5}:{(29,1),(32,1),(62,1),(69,1),(73,1)}
        49:{2,3,5}:{(29,1),(63,1),(70,1),(73,1),(108,1),(120,1)}
        50:{3,5,7}:{(29,1),(30,1),(64,1),(71,1),(76,1),(124,1),(186,1),(190,1)}
        51:{1,2,4,6}:{(30,1),(31,1),(34,1),(72,1),(76,1),(77,1),(78,1),(110,1),(123,1),(125,1),(128,1),(152,1),(184,1),(203,1)}
        52:{1,4,5,7}:{(32,1),(33,1),(66,1),(74,1),(78,1),(118,1),(157,1),(162,1)}
        53:{3,4,6}:{(33,1),(34,1),(76,1),(78,1),(79,1),(128,1)}
        54:{2,5,6}:{(34,1),(68,1),(79,1)}
        55:{1,5,6}:{(35,1),(42,1),(80,1)}
        56:{3,5,7}:{(35,1),(36,1),(43,1),(80,1),(81,1)}
        57:{2,4,6,7}:{(36,1),(81,1),(82,1),(131,1)}
        58:{1,4,5}:{(37,1),(83,1),(99,1),(146,1)}
        59:{3,4,6}:{(37,1),(39,1),(45,1),(83,1),(85,1),(86,1),(133,1)}
        60:{1,4,7}:{(37,1),(38,1),(86,1),(140,1)}
        61:{1,3,6,7}:{(38,1),(41,1),(47,1),(87,1),(91,1),(133,1),(197,1)}
        62:{1,3,6}:{(39,1),(42,1),(48,1),(88,1),(89,1)}
        63:{2,3,6}:{(39,1),(49,1),(85,1),(88,1),(90,1)}
        64:{3,7}:{(39,1),(40,1)}
        65:{1,2,4,6,7}:{(40,1),(41,1),(44,1),(51,1),(87,1),(91,1),(92,1),(93,1),(135,1),(137,1),(140,1),(172,1)}
        66:{1,4,7}:{(42,1),(43,1),(80,1),(89,1)}
        67:{3,4,6,7}:{(43,1),(44,1),(53,1),(81,1),(91,1),(93,1),(94,1),(131,1),(140,1),(168,1),(173,1)}
        68:{2,5,7}:{(44,1),(54,1),(94,1)}
        69:{1,3,4}:{(45,1),(48,1),(95,1)}
        70:{2,4}:{(45,1),(49,1)}
        71:{3,4,7}:{(45,1),(46,1),(50,1),(97,1),(98,1),(140,1),(199,1)}
        72:{1,4,6}:{(46,1),(47,1),(98,1),(99,1)}
        73:{1,2,5}:{(48,1),(49,1),(88,1),(95,1)}
        74:{1,3,5,7}:{(48,1),(50,1),(52,1),(89,1),(96,1),(100,1),(101,1),(144,1),(196,1)}
        75:{2,3,5,7}:{(49,1),(50,1),(90,1),(97,1),(100,1),(102,1),(132,1),(142,1),(145,1),(176,1)}
        76:{3,6}:{(50,1),(51,1)}
        77:{1,2,5,6}:{(51,1),(54,1),(92,1),(99,1),(103,1),(104,1),(134,1),(145,1),(169,1)}
        78:{1,4,6}:{(52,1),(53,1),(101,1),(104,1)}
        79:{3,5,6}:{(53,1),(54,1),(94,1),(104,1),(105,1)}
        80:{1,5,7}:{(55,1),(56,1),(66,1),(106,1)}
        81:{3,6,7}:{(56,1),(57,1),(106,1)}
        82:{2,5,6,7}:{(57,1),(68,1),(107,1),(183,1)}
        83:{3,5}:{(58,1),(59,1),(108,1)}
        84:{1,4,5,7}:{(58,1),(60,1),(109,1),(110,1),(113,1),(155,1)}
        85:{2,4,6}:{(59,1),(63,1),(70,1),(108,1),(111,1),(152,1)}
        86:{3,4,7}:{(59,1),(60,1),(64,1),(109,1),(111,1)}
        87:{1,4,6,7}:{(60,1),(61,1),(72,1),(110,1),(112,1),(113,1),(188,1),(203,1)}
        88:{1,2,6}:{(62,1),(63,1),(73,1),(114,1)}
        89:{1,3,7}:{(62,1),(64,1),(66,1),(114,1)}
        90:{2,3,7}:{(63,1),(64,1),(111,1),(114,1)}
        91:{3,6,7}:{(64,1),(65,1),(76,1),(117,1),(186,1)}
        92:{1,2,5,7}:{(65,1),(68,1),(77,1),(113,1),(117,1),(118,1),(154,1)}
        93:{1,4,6,7}:{(66,1),(67,1),(78,1),(106,1),(115,1),(118,1),(157,1)}
        94:{3,5,7}:{(67,1),(68,1),(79,1),(118,1),(119,1)}
        95:{1,2,4}:{(69,1),(70,1),(73,1),(120,1)}
        96:{1,3,4,7}:{(69,1),(71,1),(74,1),(121,1),(122,1),(157,1),(186,1),(188,1)}
        97:{2,4,7}:{(70,1),(71,1),(75,1),(123,1),(189,1)}
        98:{3,4,6}:{(71,1),(72,1),(76,1),(123,1),(124,1),(128,1)}
        99:{1,5}:{(72,1),(124,1)}
       100:{1,2,5,7}:{(73,1),(74,1),(75,1),(114,1),(121,1),(125,1),(161,1)}
       101:{1,3,6}:{(74,1),(76,1),(78,1),(125,1),(203,1)}
       102:{2,3,6}:{(75,1),(76,1),(123,1),(125,1),(152,1)}
       103:{3,5,6}:{(76,1),(77,1),(117,1),(124,1),(128,1)}
       104:{1,5,6}:{(78,1),(79,1),(118,1)}
       105:{4,5,6}:{(79,1),(119,1),(128,1)}
       106:{1,6,7}:{(80,1),(81,1)}
       107:{3,5,6,7}:{(81,1),(82,1),(94,1),(130,1),(131,1),(168,1)}
       108:{2,5}:{(83,1),(85,1)}
       109:{3,5,7}:{(83,1),(84,1),(86,1),(132,1),(133,1)}
       110:{1,4,6}:{(84,1),(133,1),(134,1),(170,1)}
       111:{2,4,7}:{(85,1),(86,1),(90,1),(132,1)}
       112:{3,4,6,7}:{(86,1),(87,1),(91,1),(98,1),(133,1),(135,1),(136,1),(140,1),(170,1),(174,1),(195,1)}
       113:{1,5,7}:{(87,1),(99,1),(134,1),(136,1)}
       114:{1,2,7}:{(88,1),(89,1),(90,1)}
       115:{1,3,6,7}:{(89,1),(91,1),(93,1),(101,1),(137,1),(138,1),(168,1)}
       116:{2,3,6,7}:{(90,1),(91,1),(102,1),(135,1),(137,1),(139,1),(195,1)}
       117:{3,5,7}:{(91,1),(92,1),(103,1),(140,1)}
       118:{1,5,7}:{(93,1),(94,1),(104,1)}
       119:{4,5,7}:{(94,1),(105,1),(131,1),(140,1)}
       120:{2,3}:{(95,1)}
       121:{1,2,4,7}:{(95,1),(96,1),(97,1),(100,1),(142,1),(143,1)}
       122:{1,3,4,6}:{(96,1),(98,1),(101,1),(143,1),(144,1),(148,1),(180,1),(182,1),(199,1)}
       123:{2,4,6}:{(97,1),(98,1),(102,1),(145,1)}
       124:{3,5}:{(98,1),(99,1),(145,1),(146,1)}
       125:{1,2,6}:{(100,1),(101,1),(102,1)}
       126:{1,3,5,6}:{(101,1),(103,1),(104,1),(138,1),(144,1),(147,1),(148,1),(150,1),(180,1)}
       127:{2,3,5,6}:{(102,1),(103,1),(139,1),(145,1),(147,1),(149,1),(169,1),(176,1),(179,1),(180,1),(195,1)}
       128:{4,6}:{(103,1),(140,1),(146,1)}
       129:{1,4,5,6}:{(104,1),(105,1),(141,1),(148,1),(150,1)}
       130:{1,5,6,7}:{(106,1),(107,1),(118,1),(151,1)}
       131:{4,6,7}:{(107,1),(119,1)}
       132:{2,5,7}:{(108,1),(109,1),(111,1),(152,1)}
       133:{3,6}:{(109,1),(110,1),(152,1)}
       134:{1,5,6}:{(110,1),(113,1),(153,1),(203,1)}
       135:{2,4,6,7}:{(111,1),(112,1),(116,1),(123,1),(152,1),(154,1),(158,1),(184,1)}
       136:{3,5,7}:{(112,1),(113,1),(124,1),(153,1),(154,1),(155,1)}
       137:{1,2,6,7}:{(114,1),(115,1),(116,1),(125,1),(156,1),(183,1),(203,1)}
       138:{1,3,5,7}:{(115,1),(117,1),(118,1),(126,1),(156,1),(157,1),(159,1),(186,1)}
       139:{2,3,5,7}:{(116,1),(117,1),(127,1),(154,1),(156,1),(158,1),(185,1),(186,1)}
       140:{4,7}:{(117,1),(128,1)}
       141:{1,4,5,7}:{(118,1),(119,1),(129,1),(151,1),(157,1),(159,1)}
       142:{2,3,7}:{(120,1),(121,1),(160,1),(186,1)}
       143:{1,2,4,6}:{(121,1),(122,1),(123,1),(125,1),(160,1),(161,1),(189,1)}
       144:{1,3,5}:{(122,1),(124,1),(161,1),(162,1),(190,1),(192,1)}
       145:{2,5}:{(123,1),(124,1)}
       146:{4,5}:{(124,1),(128,1)}
       147:{1,2,5,6}:{(125,1),(126,1),(127,1),(156,1),(161,1),(164,1),(167,1),(192,1),(203,1)}
       148:{1,4,6}:{(126,1),(128,1),(157,1),(162,1),(165,1)}
       149:{2,4,6}:{(127,1),(128,1),(158,1),(163,1),(166,1),(189,1)}
       150:{3,5,6}:{(129,1),(159,1),(165,1),(167,1)}
       151:{1,4,6,7}:{(130,1),(131,1),(141,1),(168,1)}
       152:{2,6}:{(132,1),(133,1)}
       153:{3,5,6}:{(133,1),(134,1),(136,1),(169,1),(170,1),(195,1)}
       154:{2,5,7}:{(135,1),(136,1),(145,1),(169,1)}
       155:{4,5,7}:{(136,1),(140,1),(146,1),(170,1)}
       156:{1,2,5,7}:{(137,1),(138,1),(139,1),(147,1),(172,1),(175,1),(196,1)}
       157:{1,4,7}:{(138,1),(140,1),(148,1),(173,1)}
       158:{2,4,7}:{(139,1),(140,1),(149,1),(174,1)}
       159:{3,5,7}:{(141,1),(150,1),(168,1),(173,1),(175,1)}
       160:{2,3,6}:{(142,1),(143,1),(176,1),(180,1)}
       161:{1,2,5}:{(143,1),(144,1),(145,1),(176,1)}
       162:{1,4,5}:{(144,1),(146,1),(148,1),(178,1)}
       163:{2,4,5}:{(145,1),(146,1),(149,1),(179,1)}
       164:{1,2,4,6}:{(147,1),(148,1),(149,1),(172,1),(177,1),(180,1),(181,1),(182,1),(202,1)}
       165:{3,4,6}:{(148,1),(150,1),(173,1),(178,1),(180,1),(181,1)}
       166:{3,4,6}:{(149,1),(174,1),(179,1),(180,1),(182,1),(195,1),(199,1)}
       167:{2,5,6}:{(150,1),(175,1),(181,1)}
       168:{3,6,7}:{(151,1),(159,1),(183,1)}
       169:{2,5,6}:{(152,1),(153,1),(154,1),(184,1)}
       170:{4,6}:{(153,1),(155,1)}
       171:{2,4,5,7}:{(154,1),(155,1),(158,1),(163,1),(184,1),(185,1)}
       172:{1,2,4,7}:{(156,1),(157,1),(158,1),(164,1),(186,1),(187,1),(188,1),(204,1)}
       173:{3,4,7}:{(157,1),(159,1),(165,1),(186,1),(187,1)}
       174:{3,4,7}:{(158,1),(166,1),(185,1),(186,1),(188,1)}
       175:{2,5,7}:{(159,1),(167,1),(183,1),(187,1)}
       176:{2,3,5}:{(160,1),(161,1),(189,1),(190,1)}
       177:{1,2,4,5}:{(161,1),(162,1),(163,1),(164,1),(189,1),(190,1),(191,1),(192,1),(205,1),(207,1)}
       178:{3,4,5}:{(162,1),(165,1),(190,1),(191,1)}
       179:{3,5}:{(163,1),(166,1),(192,1)}
       180:{3,6}:{(164,1),(186,1),(190,1)}
       181:{2,4,6}:{(165,1),(167,1),(187,1),(191,1),(194,1)}
       182:{1,4,6}:{(166,1),(188,1),(192,1),(193,1),(203,1),(205,1)}
       183:{2,6,7}:{(168,1),(175,1)}
       184:{2,4,6}:{(169,1),(170,1),(171,1),(195,1)}
       185:{3,5,7}:{(171,1),(174,1),(179,1),(195,1),(196,1)}
       186:{3,7}:{(172,1),(180,1)}
       187:{2,4,7}:{(173,1),(175,1),(181,1),(198,1)}
       188:{1,4,7}:{(174,1),(182,1),(196,1),(197,1)}
       189:{2,4}:{(176,1),(199,1)}
       190:{3,5}:{(177,1),(180,1),(199,1)}
       191:{2,4,5}:{(178,1),(181,1),(201,1)}
       192:{1,5}:{(179,1),(182,1)}
       193:{1,3,6}:{(180,1),(182,1),(197,1),(200,1),(202,1)}
       194:{2,3,6}:{(180,1),(181,1),(198,1),(201,1),(202,1)}
       195:{3,6}:{(184,1),(185,1),(203,1)}
       196:{1,5,7}:{(185,1),(188,1),(192,1),(203,1)}
       197:{1,3,7}:{(186,1),(188,1),(193,1),(204,1)}
       198:{2,3,7}:{(186,1),(187,1),(194,1),(204,1)}
       199:{3,4}:{(189,1),(190,1),(205,1)}
       200:{1,3,5}:{(190,1),(192,1),(193,1),(205,1),(207,1),(209,1)}
       201:{2,3,5}:{(190,1),(191,1),(194,1),(206,1),(207,1)}
       202:{1,2,6}:{(193,1),(194,1),(204,1),(207,1)}
       203:{1,6}:{(195,1),(196,1)}
       204:{1,2,7}:{(197,1),(198,1),(202,1)}
       205:{1,4}:{(199,1),(200,1)}
       206:{2,3,4}:{(199,1),(201,1),(208,1)}
       207:{1,2,5}:{(200,1),(201,1),(202,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{1,3}:{(208,1)}

 519 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(55,1),(70,1),(130,1),(182,1),(186,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(7,1),(31,1),(37,1),(47,1),(101,1),(108,1),(146,1),(149,1),(150,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(12,1),(31,1),(166,1),(194,1),(198,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(39,1),(199,1)}
         4:{2,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(44,1),(84,1),(100,1),(103,1),(159,1)}
         5:{1,4,5,7}:{(1,1),(14,1),(16,1),(59,1),(74,1),(77,1),(114,1),(133,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(17,1),(26,1),(61,1),(70,1),(139,1),(174,1)}
         7:{3,4,6}:{(1,1),(16,1),(17,1),(19,1),(56,1),(119,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(20,1),(21,1),(25,1),(187,1),(204,1)}
         9:{2,3,6}:{(2,1),(17,1),(21,1),(56,1),(205,1)}
        10:{1,3,7}:{(3,1),(24,1),(130,1),(206,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(21,1),(24,1),(25,1),(65,1),(72,1)}
        12:{2,3,5}:{(4,1),(25,1),(26,1),(73,1),(117,1),(181,1)}
        13:{1,3,4,7}:{(14,1),(27,1),(28,1),(55,1),(114,1),(134,1),(171,1),(203,1)}
        14:{1,3,5,7}:{(5,1),(13,1),(29,1),(30,1),(31,1),(50,1),(104,1),(160,1),(208,1)}
        15:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(29,1),(31,1),(32,1),(39,1),(46,1),(78,1),(87,1),(96,1),(99,1),(107,1),(141,1),(144,1),(149,1),(150,1),(156,1),(189,1),(198,1),(208,1)}
        16:{1,4,6}:{(5,1),(7,1),(30,1),(34,1)}
        17:{2,4,6}:{(6,1),(7,1),(9,1),(36,1)}
        18:{3,4,6,7}:{(7,1),(33,1),(35,1),(37,1),(85,1),(94,1),(101,1),(146,1),(150,1),(151,1),(153,1)}
        19:{3,5,6}:{(7,1),(34,1),(36,1),(37,1),(38,1)}
        20:{1,3,5,7}:{(8,1),(10,1),(31,1),(39,1),(40,1),(45,1),(96,1),(165,1),(193,1),(208,1)}
        21:{1,2,6}:{(8,1),(9,1),(40,1)}
        22:{2,3,6,7}:{(9,1),(35,1),(41,1),(43,1),(85,1),(153,1),(194,1)}
        23:{2,3,5,6}:{(9,1),(12,1),(36,1),(42,1),(43,1),(44,1),(86,1),(93,1),(100,1)}
        24:{1,3,6}:{(10,1),(11,1),(45,1),(100,1)}
        25:{1,2,5}:{(11,1),(12,1),(45,1),(96,1)}
        26:{2,4,5}:{(12,1),(44,1),(47,1),(149,1)}
        27:{1,2,4,7}:{(13,1),(29,1),(48,1),(49,1),(78,1),(163,1)}
        28:{1,3,4,6}:{(13,1),(30,1),(49,1),(50,1),(83,1),(84,1),(145,1),(164,1),(192,1)}
        29:{1,2,5,7}:{(14,1),(27,1),(51,1),(52,1),(76,1),(136,1),(183,1)}
        30:{1,3,6}:{(14,1),(16,1),(52,1),(56,1),(209,1)}
        31:{3,5,7}:{(15,1),(55,1),(56,1),(73,1),(117,1),(130,1),(138,1),(171,1)}
        32:{1,2,4,6}:{(15,1),(16,1),(17,1),(21,1),(52,1),(56,1),(58,1),(65,1),(109,1),(119,1),(179,1),(200,1),(205,1),(209,1)}
        33:{1,4,6,7}:{(16,1),(18,1),(53,1),(59,1),(114,1),(133,1),(178,1)}
        34:{1,5,6}:{(16,1),(19,1),(59,1)}
        35:{2,4,6,7}:{(17,1),(18,1),(22,1),(61,1),(70,1),(174,1),(177,1)}
        36:{2,5,6}:{(17,1),(19,1),(61,1)}
        37:{3,5,7}:{(18,1),(19,1),(59,1),(61,1),(64,1)}
        38:{4,5,6}:{(19,1),(64,1),(119,1)}
        39:{1,4,7}:{(20,1),(55,1),(65,1),(72,1),(185,1)}
        40:{1,3,6}:{(20,1),(21,1),(56,1),(65,1),(209,1)}
        41:{1,2,6,7}:{(21,1),(22,1),(66,1),(68,1),(178,1),(204,1),(205,1)}
        42:{1,2,5,6}:{(21,1),(23,1),(25,1),(67,1),(68,1),(69,1),(125,1),(181,1),(205,1)}
        43:{2,3,5,7}:{(22,1),(23,1),(61,1),(68,1),(70,1),(118,1),(124,1),(130,1)}
        44:{2,4,6}:{(23,1),(26,1),(70,1),(71,1),(119,1)}
        45:{1,3,5}:{(24,1),(25,1),(72,1),(73,1)}
        46:{1,2,4,5}:{(25,1),(26,1),(69,1),(72,1),(73,1),(74,1),(127,1),(135,1),(136,1),(181,1)}
        47:{3,4,5}:{(26,1),(71,1),(73,1),(74,1)}
        48:{2,3,7}:{(27,1),(75,1),(171,1),(184,1)}
        49:{1,2,4,6}:{(27,1),(28,1),(52,1),(75,1),(76,1),(109,1),(137,1)}
        50:{1,3,5}:{(28,1),(76,1),(77,1),(117,1),(138,1),(202,1)}
        51:{2,3,5,7}:{(29,1),(31,1),(48,1),(78,1),(79,1),(105,1),(106,1),(141,1),(161,1),(198,1)}
        52:{1,2,6}:{(29,1),(30,1),(79,1)}
        53:{1,3,6,7}:{(30,1),(33,1),(80,1),(82,1),(85,1),(151,1),(160,1)}
        54:{1,3,5,6}:{(30,1),(34,1),(50,1),(81,1),(82,1),(83,1),(86,1),(90,1),(145,1)}
        55:{3,4,7}:{(31,1),(39,1),(78,1),(84,1),(103,1),(150,1),(164,1)}
        56:{3,6}:{(31,1),(32,1)}
        57:{1,2,4,6,7}:{(32,1),(33,1),(35,1),(41,1),(80,1),(85,1),(87,1),(95,1),(99,1),(140,1),(144,1),(150,1)}
        58:{1,2,5,6}:{(32,1),(34,1),(36,1),(86,1),(87,1),(96,1),(141,1),(155,1),(188,1)}
        59:{1,5,7}:{(33,1),(34,1),(37,1)}
        60:{1,4,5,6}:{(34,1),(38,1),(83,1),(89,1),(90,1)}
        61:{2,5,7}:{(35,1),(36,1),(37,1)}
        62:{2,4,5,6}:{(36,1),(38,1),(44,1),(92,1),(93,1)}
        63:{3,5,6,7}:{(37,1),(88,1),(91,1),(94,1),(151,1),(153,1)}
        64:{4,5,7}:{(37,1),(38,1),(94,1),(150,1)}
        65:{1,4,6}:{(39,1),(40,1),(84,1),(96,1)}
        66:{1,3,6,7}:{(40,1),(41,1),(85,1),(95,1),(97,1),(193,1),(197,1)}
        67:{1,3,5,6}:{(40,1),(42,1),(45,1),(86,1),(96,1),(97,1),(98,1),(100,1),(155,1),(157,1),(197,1)}
        68:{1,2,5,7}:{(41,1),(42,1),(43,1),(97,1),(99,1),(154,1),(198,1)}
        69:{1,2,4,6}:{(42,1),(44,1),(46,1),(98,1),(99,1),(100,1),(102,1),(159,1),(162,1)}
        70:{2,4,7}:{(43,1),(44,1),(101,1),(150,1)}
        71:{3,4,6}:{(44,1),(47,1),(93,1),(100,1),(101,1),(102,1)}
        72:{1,4}:{(45,1),(103,1)}
        73:{3,5}:{(46,1),(100,1),(103,1)}
        74:{1,4,5}:{(47,1),(102,1),(104,1)}
        75:{2,3,6}:{(48,1),(49,1),(106,1),(145,1)}
        76:{1,2,5}:{(49,1),(50,1),(106,1),(141,1)}
        77:{1,4,5}:{(50,1),(83,1),(108,1),(149,1)}
        78:{2,4,7}:{(51,1),(55,1),(109,1),(135,1),(137,1)}
        79:{2,3,6}:{(51,1),(52,1),(56,1),(109,1),(205,1)}
        80:{1,2,6,7}:{(52,1),(53,1),(110,1),(112,1),(177,1),(183,1),(209,1)}
        81:{1,2,5,6}:{(52,1),(54,1),(76,1),(111,1),(112,1),(113,1),(122,1),(202,1),(209,1)}
        82:{1,3,5,7}:{(53,1),(54,1),(59,1),(112,1),(114,1),(118,1),(121,1),(171,1)}
        83:{1,4,6}:{(54,1),(77,1),(114,1),(115,1),(119,1)}
        84:{3,4,6}:{(55,1),(56,1),(65,1),(109,1),(117,1),(119,1)}
        85:{3,6,7}:{(56,1),(57,1),(118,1),(130,1),(171,1)}
        86:{3,5,6}:{(56,1),(58,1),(117,1),(118,1),(119,1)}
        87:{1,2,5,7}:{(57,1),(58,1),(59,1),(61,1),(118,1),(126,1),(167,1)}
        88:{1,5,6,7}:{(59,1),(63,1),(120,1),(178,1)}
        89:{1,4,5,7}:{(59,1),(60,1),(64,1),(114,1),(120,1),(121,1)}
        90:{3,5,6}:{(60,1),(115,1),(121,1),(122,1)}
        91:{2,5,6,7}:{(61,1),(63,1),(123,1),(177,1)}
        92:{2,4,5,7}:{(61,1),(62,1),(64,1),(70,1),(123,1),(124,1)}
        93:{3,5,6}:{(62,1),(71,1),(124,1),(125,1)}
        94:{4,6,7}:{(63,1),(64,1)}
        95:{1,4,6,7}:{(65,1),(66,1),(116,1),(126,1),(128,1),(179,1),(203,1),(209,1)}
        96:{1,5}:{(65,1),(117,1)}
        97:{1,3,5,7}:{(66,1),(67,1),(68,1),(118,1),(126,1),(128,1),(130,1),(180,1)}
        98:{1,4,6}:{(67,1),(72,1),(119,1),(127,1),(128,1),(129,1)}
        99:{1,2,4,7}:{(68,1),(69,1),(70,1),(128,1),(130,1),(133,1),(182,1),(183,1)}
       100:{3,6}:{(69,1),(73,1),(130,1)}
       101:{3,4,7}:{(70,1),(71,1),(124,1),(130,1),(133,1)}
       102:{1,4,6}:{(71,1),(74,1),(125,1),(131,1),(133,1)}
       103:{3,4}:{(72,1),(73,1),(135,1)}
       104:{1,3,5}:{(73,1),(74,1),(131,1),(134,1),(136,1)}
       105:{2,3,5}:{(73,1),(132,1),(135,1),(136,1),(181,1),(184,1)}
       106:{2,3,5}:{(75,1),(76,1),(137,1),(138,1)}
       107:{1,2,4,5}:{(76,1),(77,1),(113,1),(137,1),(138,1),(139,1),(168,1),(185,1),(187,1),(202,1)}
       108:{3,4,5}:{(77,1),(115,1),(138,1),(139,1)}
       109:{2,4,6}:{(78,1),(79,1),(84,1),(141,1)}
       110:{2,3,6,7}:{(79,1),(80,1),(85,1),(140,1),(142,1),(161,1),(207,1)}
       111:{2,3,5,6}:{(79,1),(81,1),(86,1),(106,1),(141,1),(142,1),(143,1),(145,1),(188,1),(190,1),(207,1)}
       112:{1,2,5,7}:{(80,1),(81,1),(82,1),(142,1),(144,1),(152,1),(208,1)}
       113:{1,2,4,6}:{(81,1),(83,1),(107,1),(143,1),(144,1),(145,1),(147,1),(192,1),(195,1)}
       114:{1,4,7}:{(82,1),(83,1),(146,1),(150,1)}
       115:{3,4,6}:{(83,1),(90,1),(108,1),(145,1),(146,1),(147,1)}
       116:{3,4,6,7}:{(84,1),(85,1),(95,1),(140,1),(148,1),(150,1),(158,1),(191,1),(196,1),(197,1),(207,1)}
       117:{3,5}:{(84,1),(96,1),(141,1),(149,1)}
       118:{3,5,7}:{(85,1),(86,1),(87,1),(150,1)}
       119:{4,6}:{(86,1),(149,1),(150,1)}
       120:{1,4,6,7}:{(88,1),(89,1),(94,1),(151,1)}
       121:{3,5,7}:{(89,1),(90,1),(146,1),(151,1),(152,1)}
       122:{2,5,6}:{(90,1),(147,1),(152,1)}
       123:{2,4,6,7}:{(91,1),(92,1),(94,1),(153,1)}
       124:{3,5,7}:{(92,1),(93,1),(101,1),(153,1),(154,1)}
       125:{1,5,6}:{(93,1),(102,1),(154,1)}
       126:{1,5,7}:{(95,1),(96,1),(148,1),(155,1)}
       127:{1,4,5}:{(96,1),(98,1),(149,1),(157,1)}
       128:{1,4,7}:{(97,1),(98,1),(150,1),(158,1)}
       129:{3,4,6}:{(98,1),(100,1),(103,1),(157,1),(158,1),(159,1),(197,1)}
       130:{3,7}:{(99,1),(100,1)}
       131:{1,3,6}:{(100,1),(102,1),(104,1),(160,1),(162,1)}
       132:{2,3,6}:{(100,1),(105,1),(159,1),(161,1),(162,1)}
       133:{1,4,7}:{(101,1),(102,1),(154,1),(160,1)}
       134:{1,3,4}:{(103,1),(104,1),(163,1)}
       135:{2,4}:{(103,1),(105,1)}
       136:{1,2,5}:{(104,1),(105,1),(162,1),(163,1)}
       137:{2,4}:{(106,1),(164,1)}
       138:{3,5}:{(107,1),(145,1),(164,1)}
       139:{2,4,5}:{(108,1),(147,1),(166,1)}
       140:{2,4,6,7}:{(109,1),(110,1),(116,1),(167,1),(169,1),(182,1),(200,1),(205,1)}
       141:{2,5}:{(109,1),(117,1)}
       142:{2,3,5,7}:{(110,1),(111,1),(112,1),(118,1),(167,1),(169,1),(171,1),(201,1)}
       143:{2,4,6}:{(111,1),(119,1),(137,1),(168,1),(169,1),(170,1)}
       144:{1,2,4,7}:{(112,1),(113,1),(114,1),(169,1),(171,1),(174,1),(203,1),(204,1)}
       145:{3,6}:{(113,1),(138,1),(171,1)}
       146:{3,4,7}:{(114,1),(115,1),(121,1),(171,1),(174,1)}
       147:{2,4,6}:{(115,1),(122,1),(139,1),(173,1),(174,1)}
       148:{3,5,7}:{(116,1),(117,1),(126,1),(167,1),(175,1),(176,1)}
       149:{4,5}:{(117,1),(119,1)}
       150:{4,7}:{(118,1),(119,1)}
       151:{3,6,7}:{(120,1),(121,1),(177,1)}
       152:{2,5,7}:{(121,1),(122,1),(174,1),(177,1)}
       153:{3,6,7}:{(123,1),(124,1),(178,1)}
       154:{1,5,7}:{(124,1),(125,1),(133,1),(178,1)}
       155:{1,5,6}:{(126,1),(175,1),(179,1),(209,1)}
       156:{1,4,5,7}:{(126,1),(127,1),(128,1),(176,1),(179,1),(180,1)}
       157:{3,5}:{(127,1),(129,1),(181,1)}
       158:{3,4,7}:{(128,1),(129,1),(130,1),(180,1),(182,1)}
       159:{2,4,6}:{(129,1),(132,1),(135,1),(181,1),(182,1),(205,1)}
       160:{1,3,7}:{(130,1),(131,1),(133,1),(183,1)}
       161:{2,3,7}:{(130,1),(132,1),(182,1),(183,1)}
       162:{1,2,6}:{(131,1),(132,1),(136,1),(183,1)}
       163:{1,2,4}:{(134,1),(135,1),(136,1),(184,1)}
       164:{3,4}:{(137,1),(138,1),(185,1)}
       165:{1,3,5}:{(138,1),(172,1),(185,1),(187,1),(202,1),(206,1)}
       166:{2,3,5}:{(138,1),(139,1),(173,1),(186,1),(187,1)}
       167:{2,5,7}:{(140,1),(141,1),(148,1),(188,1)}
       168:{2,4,5}:{(141,1),(143,1),(149,1),(190,1)}
       169:{2,4,7}:{(142,1),(143,1),(150,1),(191,1)}
       170:{3,4,6}:{(143,1),(145,1),(164,1),(190,1),(191,1),(192,1),(207,1)}
       171:{3,7}:{(144,1),(145,1)}
       172:{1,3,6}:{(145,1),(165,1),(192,1),(193,1),(195,1)}
       173:{2,3,6}:{(145,1),(147,1),(166,1),(194,1),(195,1)}
       174:{2,4,7}:{(146,1),(147,1),(152,1),(194,1)}
       175:{3,5,6}:{(148,1),(155,1),(188,1),(196,1),(197,1),(207,1)}
       176:{4,5,7}:{(148,1),(149,1),(150,1),(196,1)}
       177:{2,6,7}:{(151,1),(152,1)}
       178:{1,6,7}:{(153,1),(154,1)}
       179:{1,4,6}:{(155,1),(156,1),(196,1),(197,1)}
       180:{3,5,7}:{(156,1),(157,1),(158,1),(197,1),(198,1)}
       181:{2,5}:{(157,1),(159,1)}
       182:{2,4,7}:{(158,1),(159,1),(161,1),(198,1)}
       183:{1,2,7}:{(160,1),(161,1),(162,1)}
       184:{2,3}:{(163,1)}
       185:{1,4}:{(164,1),(165,1)}
       186:{2,3,4}:{(164,1),(166,1),(199,1)}
       187:{1,2,5}:{(165,1),(166,1),(195,1),(199,1)}
       188:{2,5,6}:{(167,1),(175,1),(200,1),(205,1)}
       189:{2,4,5,7}:{(167,1),(168,1),(169,1),(176,1),(200,1),(201,1)}
       190:{3,5}:{(168,1),(170,1),(202,1)}
       191:{3,4,7}:{(169,1),(170,1),(171,1),(201,1),(203,1)}
       192:{1,4,6}:{(170,1),(172,1),(185,1),(202,1),(203,1),(209,1)}
       193:{1,3,7}:{(171,1),(172,1),(203,1),(204,1)}
       194:{2,3,7}:{(171,1),(173,1),(174,1),(204,1)}
       195:{1,2,6}:{(172,1),(173,1),(187,1),(204,1)}
       196:{4,6}:{(175,1),(176,1)}
       197:{3,6}:{(179,1),(180,1),(205,1)}
       198:{2,5,7}:{(180,1),(181,1),(182,1),(205,1)}
       199:{1,2,4}:{(185,1),(186,1),(187,1),(206,1)}
       200:{2,4,6}:{(188,1),(189,1),(196,1),(207,1)}
       201:{3,5,7}:{(189,1),(190,1),(191,1),(207,1),(208,1)}
       202:{1,5}:{(190,1),(192,1)}
       203:{1,4,7}:{(191,1),(192,1),(193,1),(208,1)}
       204:{1,2,7}:{(193,1),(194,1),(195,1)}
       205:{2,6}:{(197,1),(198,1)}
       206:{1,3}:{(199,1)}
       207:{3,6}:{(200,1),(201,1),(209,1)}
       208:{1,5,7}:{(201,1),(202,1),(203,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

 520 :  0:{2,3,4}:{(2,1),(3,1),(47,1)}
        1:{3,4,5}:{(5,1),(6,1),(7,1),(32,1),(71,1)}
        2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1),(32,1)}
        3:{1,2,4}:{(0,1),(9,1),(10,1),(35,1)}
        4:{4,5,6}:{(13,1),(14,1),(63,1),(83,1)}
        5:{3,4,6}:{(1,1),(13,1),(15,1),(16,1),(17,1),(45,1),(63,1)}
        6:{1,4,5}:{(1,1),(12,1),(15,1)}
        7:{2,4,5}:{(1,1),(2,1),(16,1)}
        8:{2,3,6}:{(2,1),(16,1),(19,1),(20,1),(45,1)}
        9:{1,2,5}:{(2,1),(3,1),(19,1),(21,1)}
       10:{1,3}:{(3,1)}
       11:{1,3,4}:{(12,1),(22,1),(47,1)}
       12:{1,3,5}:{(6,1),(11,1),(23,1),(24,1),(32,1)}
       13:{3,5,6}:{(4,1),(5,1),(25,1),(26,1),(27,1)}
       14:{4,5,7}:{(4,1),(27,1),(28,1),(72,1),(82,1)}
       15:{1,4,6}:{(5,1),(6,1),(23,1),(25,1),(30,1)}
       16:{2,4,6}:{(5,1),(7,1),(8,1),(26,1),(31,1)}
       17:{3,4,7}:{(5,1),(27,1),(30,1),(31,1),(58,1),(72,1)}
       18:{1,2,4,5}:{(6,1),(7,1),(9,1),(24,1),(29,1),(32,1),(35,1),(52,1),(59,1),(69,1),(71,1)}
       19:{1,2,6}:{(8,1),(9,1),(33,1),(34,1)}
       20:{2,3,7}:{(8,1),(31,1),(34,1),(58,1)}
       21:{1,3,5}:{(9,1),(10,1),(32,1),(33,1),(35,1),(59,1)}
       22:{1,2,4}:{(11,1),(24,1),(36,1),(52,1)}
       23:{1,3,6}:{(12,1),(15,1),(37,1),(38,1),(45,1)}
       24:{1,2,5}:{(12,1),(22,1),(37,1),(39,1)}
       25:{1,5,6}:{(13,1),(15,1),(41,1)}
       26:{2,5,6}:{(13,1),(16,1),(42,1)}
       27:{3,5,7}:{(13,1),(14,1),(17,1),(41,1),(42,1),(43,1)}
       28:{4,6,7}:{(14,1),(43,1),(44,1)}
       29:{1,2,4,6}:{(15,1),(16,1),(18,1),(19,1),(37,1),(40,1),(45,1),(46,1),(48,1),(61,1),(63,1)}
       30:{1,4,7}:{(15,1),(17,1),(38,1),(41,1)}
       31:{2,4,7}:{(16,1),(17,1),(20,1),(42,1)}
       32:{3,5}:{(18,1),(45,1),(47,1)}
       33:{1,3,6}:{(19,1),(21,1),(45,1),(48,1),(49,1)}
       34:{1,2,7}:{(19,1),(20,1),(49,1)}
       35:{1,4}:{(21,1),(47,1)}
       36:{2,3}:{(22,1)}
       37:{1,2,6}:{(23,1),(24,1),(50,1),(51,1)}
       38:{1,3,7}:{(23,1),(30,1),(51,1),(58,1)}
       39:{2,3,5}:{(24,1),(32,1),(36,1),(50,1),(52,1),(69,1)}
       40:{1,2,5,6}:{(25,1),(26,1),(29,1),(53,1),(54,1),(59,1),(69,1),(75,1),(80,1)}
       41:{1,5,7}:{(25,1),(27,1),(30,1),(55,1)}
       42:{2,5,7}:{(26,1),(27,1),(31,1),(56,1)}
       43:{3,6,7}:{(27,1),(28,1),(55,1),(56,1)}
       44:{5,6,7}:{(28,1),(82,1)}
       45:{3,6}:{(29,1),(32,1),(58,1)}
       46:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(51,1),(54,1),(58,1),(60,1),(70,1),(72,1)}
       47:{3,4}:{(32,1),(35,1),(52,1)}
       48:{1,4,6}:{(33,1),(35,1),(57,1),(59,1),(60,1),(75,1)}
       49:{1,3,7}:{(33,1),(34,1),(58,1),(60,1)}
       50:{2,3,6}:{(37,1),(39,1),(45,1),(61,1),(62,1)}
       51:{1,2,7}:{(37,1),(38,1),(62,1)}
       52:{2,4}:{(39,1),(47,1)}
       53:{3,5,6}:{(40,1),(45,1),(63,1),(64,1),(66,1),(79,1),(83,1)}
       54:{1,2,5,7}:{(40,1),(41,1),(42,1),(46,1),(64,1),(65,1),(68,1),(76,1)}
       55:{1,6,7}:{(41,1),(43,1)}
       56:{2,6,7}:{(42,1),(43,1)}
       57:{3,4,6}:{(45,1),(47,1),(48,1),(61,1),(63,1),(66,1),(67,1),(79,1)}
       58:{3,7}:{(45,1),(46,1)}
       59:{1,5}:{(48,1),(66,1)}
       60:{1,4,7}:{(48,1),(49,1),(67,1),(68,1)}
       61:{2,4,6}:{(50,1),(52,1),(57,1),(69,1),(70,1),(80,1)}
       62:{2,3,7}:{(50,1),(51,1),(58,1),(70,1)}
       63:{4,6}:{(53,1),(71,1),(72,1)}
       64:{3,5,7}:{(53,1),(54,1),(58,1),(72,1),(73,1),(82,1)}
       65:{1,2,6,7}:{(54,1),(55,1),(56,1),(73,1),(75,1),(80,1)}
       66:{3,5}:{(57,1),(59,1),(69,1),(71,1)}
       67:{3,4,7}:{(57,1),(58,1),(60,1),(70,1),(72,1),(74,1)}
       68:{1,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{2,5}:{(61,1),(66,1)}
       70:{2,4,7}:{(61,1),(62,1),(67,1),(76,1)}
       71:{4,5}:{(63,1),(66,1)}
       72:{4,7}:{(63,1),(64,1)}
       73:{3,6,7}:{(64,1),(65,1),(78,1),(79,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(77,1),(79,1)}
       75:{1,6}:{(68,1),(79,1)}
       76:{2,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,5,7}:{(71,1),(72,1),(74,1),(81,1),(82,1)}
       78:{4,6,7}:{(72,1),(73,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(81,1)}
       80:{2,6}:{(76,1),(79,1)}
       81:{4,6}:{(77,1),(79,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 521 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(52,1),(109,1)}
         1:{2,3,4,6}:{(2,1),(5,1),(6,1),(20,1),(23,1),(27,1),(52,1),(62,1)}
         2:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(35,1)}
         3:{1,2,3,5}:{(0,1),(8,1),(10,1),(33,1),(83,1),(88,1)}
         4:{1,2,3,7}:{(0,1),(9,1),(81,1),(138,1),(230,1)}
         5:{2,3,5}:{(1,1),(8,1),(13,1),(33,1),(92,1)}
         6:{2,3,4,7}:{(1,1),(9,1),(14,1),(38,1),(42,1),(81,1),(219,1)}
         7:{1,3,4,6}:{(2,1),(15,1),(16,1),(20,1),(47,1),(51,1),(52,1),(62,1)}
         8:{1,2,5}:{(2,1),(5,1),(15,1)}
         9:{1,2,4,7}:{(2,1),(4,1),(6,1),(16,1),(19,1),(227,1)}
        10:{1,2,4}:{(3,1),(20,1)}
        11:{1,2,3,5,7}:{(3,1),(4,1),(19,1),(21,1),(22,1),(57,1),(63,1),(114,1),(118,1),(169,1)}
        12:{2,3,5,6}:{(5,1),(17,1),(23,1),(24,1),(27,1),(52,1),(64,1),(71,1),(117,1)}
        13:{2,4,5}:{(5,1),(23,1),(25,1),(122,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(19,1),(26,1),(27,1),(57,1),(207,1),(225,1)}
        15:{1,3,5}:{(7,1),(8,1),(29,1),(33,1),(92,1)}
        16:{1,3,4,7}:{(7,1),(9,1),(30,1),(38,1),(74,1),(81,1),(218,1)}
        17:{1,2,5,6}:{(8,1),(12,1),(28,1),(31,1),(32,1),(35,1),(93,1),(130,1)}
        18:{1,2,4,5}:{(8,1),(10,1),(13,1),(29,1),(31,1),(33,1),(44,1),(76,1),(83,1)}
        19:{1,2,5,7}:{(8,1),(9,1),(14,1),(30,1),(35,1),(220,1),(229,1)}
        20:{3,4}:{(10,1),(33,1)}
        21:{1,2,4,7}:{(10,1),(11,1),(38,1),(39,1),(188,1)}
        22:{1,2,3,6}:{(11,1),(35,1),(39,1),(86,1),(142,1)}
        23:{2,4,6}:{(12,1),(13,1),(41,1),(42,1),(145,1)}
        24:{2,3,5,7}:{(12,1),(32,1),(42,1),(43,1),(81,1),(94,1),(98,1),(141,1)}
        25:{3,4,5}:{(13,1),(33,1),(41,1),(44,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(42,1),(45,1),(46,1),(98,1),(190,1),(214,1)}
        27:{2,3,6}:{(14,1),(35,1),(46,1),(86,1)}
        28:{1,3,5,6}:{(15,1),(17,1),(47,1),(48,1),(51,1),(52,1),(101,1),(108,1),(117,1)}
        29:{1,4,5}:{(15,1),(47,1),(49,1),(122,1)}
        30:{1,3,5,7}:{(15,1),(16,1),(19,1),(50,1),(51,1),(57,1),(206,1),(224,1)}
        31:{1,2,4,6}:{(17,1),(18,1),(23,1),(47,1),(52,1),(53,1),(66,1),(103,1),(109,1)}
        32:{1,2,5,7}:{(17,1),(24,1),(48,1),(53,1),(54,1),(123,1),(155,1)}
        33:{3,5}:{(18,1),(20,1),(52,1)}
        34:{1,2,4,5,7}:{(18,1),(19,1),(21,1),(26,1),(50,1),(53,1),(57,1),(58,1),(63,1),(69,1),(106,1),(113,1),(114,1),(122,1),(165,1),(170,1),(199,1)}
        35:{1,2,6}:{(19,1),(27,1),(51,1)}
        36:{1,3,4}:{(20,1),(55,1),(59,1)}
        37:{2,3,4}:{(20,1),(56,1),(59,1)}
        38:{3,4,7}:{(20,1),(21,1),(57,1),(62,1),(165,1),(205,1)}
        39:{1,2,4,6}:{(21,1),(22,1),(62,1),(63,1)}
        40:{2,4,5,6}:{(23,1),(64,1),(65,1),(71,1),(129,1)}
        41:{3,4,6}:{(23,1),(25,1),(52,1),(64,1),(66,1),(67,1)}
        42:{2,4,7}:{(23,1),(24,1),(67,1),(165,1)}
        43:{2,3,6,7}:{(24,1),(27,1),(54,1),(68,1),(112,1),(124,1),(225,1)}
        44:{1,4,5}:{(25,1),(55,1),(66,1)}
        45:{3,4,5,7}:{(25,1),(26,1),(57,1),(67,1),(69,1),(70,1),(122,1),(127,1),(165,1),(171,1),(200,1)}
        46:{2,4,6}:{(26,1),(27,1),(70,1),(71,1)}
        47:{1,4,6}:{(28,1),(29,1),(73,1),(74,1),(145,1)}
        48:{1,3,5,7}:{(28,1),(32,1),(74,1),(75,1),(81,1),(131,1),(135,1),(141,1)}
        49:{3,4,5}:{(29,1),(33,1),(73,1),(76,1)}
        50:{1,4,5,7}:{(29,1),(30,1),(74,1),(77,1),(78,1),(135,1),(191,1),(215,1)}
        51:{1,3,6}:{(30,1),(35,1),(78,1),(86,1)}
        52:{3,6}:{(31,1),(33,1),(81,1)}
        53:{1,2,4,7}:{(31,1),(32,1),(42,1),(74,1),(81,1),(96,1),(133,1),(138,1)}
        54:{1,2,6,7}:{(32,1),(35,1),(43,1),(75,1),(150,1),(177,1),(229,1)}
        55:{1,3,5}:{(33,1),(36,1),(44,1),(79,1),(83,1)}
        56:{2,3,5}:{(33,1),(37,1),(76,1),(80,1),(83,1)}
        57:{3,5,7}:{(33,1),(34,1),(38,1),(81,1),(86,1),(92,1),(189,1),(213,1)}
        58:{1,2,4,6}:{(34,1),(35,1),(46,1),(78,1),(86,1),(87,1),(99,1),(136,1),(142,1),(145,1)}
        59:{1,2,4}:{(36,1),(37,1),(83,1),(88,1)}
        60:{1,3,4,7}:{(36,1),(38,1),(84,1),(89,1),(90,1),(183,1),(213,1)}
        61:{2,3,4,7}:{(37,1),(38,1),(85,1),(89,1),(91,1),(184,1),(213,1)}
        62:{3,4,6}:{(38,1),(39,1),(86,1),(92,1),(145,1)}
        63:{1,2,5}:{(39,1),(92,1)}
        64:{3,5,6}:{(40,1),(41,1),(93,1),(94,1)}
        65:{2,4,5,7}:{(40,1),(42,1),(94,1),(95,1),(98,1),(153,1)}
        66:{1,4,6}:{(41,1),(44,1),(79,1),(93,1),(96,1)}
        67:{3,4,7}:{(41,1),(42,1),(81,1),(94,1),(96,1)}
        68:{2,4,6,7}:{(42,1),(43,1),(46,1),(97,1),(98,1),(214,1),(221,1)}
        69:{1,4,5,7}:{(44,1),(45,1),(84,1),(96,1),(99,1),(148,1),(152,1),(183,1)}
        70:{3,4,6}:{(45,1),(46,1),(86,1),(99,1),(100,1),(145,1)}
        71:{2,5,6}:{(46,1),(98,1),(100,1)}
        72:{1,4,5,6}:{(47,1),(101,1),(102,1),(108,1),(161,1)}
        73:{3,4,6}:{(47,1),(49,1),(52,1),(101,1),(103,1),(104,1)}
        74:{1,4,7}:{(47,1),(48,1),(104,1),(165,1)}
        75:{1,3,6,7}:{(48,1),(51,1),(54,1),(105,1),(112,1),(156,1),(224,1)}
        76:{2,4,5}:{(49,1),(56,1),(103,1)}
        77:{3,4,5,7}:{(49,1),(50,1),(57,1),(104,1),(106,1),(107,1),(122,1),(159,1),(165,1),(172,1),(201,1)}
        78:{1,4,6}:{(50,1),(51,1),(107,1),(108,1)}
        79:{1,3,6}:{(52,1),(55,1),(66,1),(109,1),(110,1)}
        80:{2,3,6}:{(52,1),(56,1),(103,1),(109,1),(111,1)}
        81:{3,7}:{(52,1),(53,1)}
        82:{1,2,4,6,7}:{(53,1),(54,1),(58,1),(68,1),(105,1),(112,1),(113,1),(126,1),(158,1),(162,1),(165,1),(199,1)}
        83:{1,2,5}:{(55,1),(56,1),(59,1),(109,1)}
        84:{1,3,5,7}:{(55,1),(57,1),(60,1),(69,1),(110,1),(114,1),(115,1),(120,1)}
        85:{2,3,5,7}:{(56,1),(57,1),(61,1),(106,1),(111,1),(114,1),(116,1),(121,1)}
        86:{3,6}:{(57,1),(58,1)}
        87:{1,2,5,6}:{(58,1),(63,1),(71,1),(108,1),(113,1),(117,1),(128,1),(160,1)}
        88:{1,2,3}:{(59,1)}
        89:{1,2,4,7}:{(59,1),(60,1),(61,1),(114,1),(118,1),(119,1)}
        90:{1,3,4,6}:{(60,1),(62,1),(115,1),(119,1),(120,1),(167,1),(202,1),(205,1)}
        91:{2,3,4,6}:{(61,1),(62,1),(116,1),(119,1),(121,1),(168,1),(202,1),(205,1)}
        92:{3,5}:{(62,1),(63,1),(122,1)}
        93:{1,5,6}:{(64,1),(66,1),(123,1)}
        94:{3,5,7}:{(64,1),(65,1),(67,1),(123,1),(124,1)}
        95:{2,4,6,7}:{(65,1),(124,1),(125,1),(174,1)}
        96:{1,4,7}:{(66,1),(67,1),(110,1),(123,1)}
        97:{3,4,6,7}:{(67,1),(68,1),(70,1),(112,1),(124,1),(126,1),(127,1),(165,1),(174,1),(200,1),(208,1)}
        98:{2,5,7}:{(68,1),(71,1),(127,1)}
        99:{1,4,6}:{(69,1),(70,1),(115,1),(128,1)}
       100:{3,5,6}:{(70,1),(71,1),(127,1),(128,1),(129,1)}
       101:{3,5,6}:{(72,1),(73,1),(130,1),(131,1)}
       102:{1,4,5,7}:{(72,1),(74,1),(131,1),(132,1),(135,1),(180,1)}
       103:{2,4,6}:{(73,1),(76,1),(80,1),(130,1),(133,1)}
       104:{3,4,7}:{(73,1),(74,1),(81,1),(131,1),(133,1)}
       105:{1,4,6,7}:{(74,1),(75,1),(78,1),(134,1),(135,1),(215,1),(228,1)}
       106:{2,4,5,7}:{(76,1),(77,1),(85,1),(133,1),(136,1),(149,1),(179,1),(184,1)}
       107:{3,4,6}:{(77,1),(78,1),(86,1),(136,1),(137,1),(145,1)}
       108:{1,5,6}:{(78,1),(135,1),(137,1)}
       109:{1,2,6}:{(79,1),(80,1),(83,1),(138,1)}
       110:{1,3,7}:{(79,1),(81,1),(96,1),(138,1)}
       111:{2,3,7}:{(80,1),(81,1),(133,1),(138,1)}
       112:{3,6,7}:{(81,1),(82,1),(86,1),(141,1),(213,1)}
       113:{1,2,5,7}:{(82,1),(87,1),(98,1),(135,1),(141,1),(152,1),(179,1)}
       114:{1,2,5,7}:{(83,1),(84,1),(85,1),(89,1),(138,1),(142,1),(147,1)}
       115:{1,3,6}:{(84,1),(86,1),(99,1),(142,1)}
       116:{2,3,6}:{(85,1),(86,1),(136,1),(142,1)}
       117:{3,5,6}:{(86,1),(87,1),(92,1),(141,1),(145,1)}
       118:{1,2,3,7}:{(88,1),(89,1),(146,1),(213,1),(229,1)}
       119:{1,2,4,6}:{(89,1),(90,1),(91,1),(142,1),(146,1),(147,1),(188,1)}
       120:{1,3,5}:{(90,1),(92,1),(147,1),(148,1),(189,1)}
       121:{2,3,5}:{(91,1),(92,1),(147,1),(149,1),(189,1)}
       122:{4,5}:{(92,1),(145,1)}
       123:{1,5,7}:{(93,1),(94,1),(96,1),(150,1)}
       124:{3,6,7}:{(94,1),(95,1),(150,1)}
       125:{2,5,6,7}:{(95,1),(98,1),(151,1),(221,1)}
       126:{1,4,6,7}:{(96,1),(97,1),(99,1),(139,1),(150,1),(152,1),(183,1)}
       127:{3,5,7}:{(97,1),(98,1),(100,1),(152,1),(153,1)}
       128:{1,5,6}:{(99,1),(100,1),(152,1)}
       129:{4,5,6}:{(100,1),(145,1),(153,1)}
       130:{2,5,6}:{(101,1),(103,1),(155,1)}
       131:{3,5,7}:{(101,1),(102,1),(104,1),(155,1),(156,1)}
       132:{1,4,6,7}:{(102,1),(156,1),(157,1),(196,1)}
       133:{2,4,7}:{(103,1),(104,1),(111,1),(155,1)}
       134:{3,4,6,7}:{(104,1),(105,1),(107,1),(112,1),(156,1),(158,1),(159,1),(165,1),(196,1),(201,1),(222,1)}
       135:{1,5,7}:{(105,1),(108,1),(159,1)}
       136:{2,4,6}:{(106,1),(107,1),(116,1),(160,1)}
       137:{3,5,6}:{(107,1),(108,1),(159,1),(160,1),(161,1)}
       138:{1,2,7}:{(109,1),(110,1),(111,1)}
       139:{1,3,6,7}:{(110,1),(112,1),(115,1),(126,1),(162,1),(163,1),(208,1)}
       140:{2,3,6,7}:{(111,1),(112,1),(116,1),(158,1),(162,1),(164,1),(222,1)}
       141:{3,5,7}:{(112,1),(113,1),(117,1),(165,1)}
       142:{1,2,6}:{(114,1),(115,1),(116,1)}
       143:{1,3,5,6}:{(115,1),(117,1),(120,1),(128,1),(163,1),(166,1),(167,1),(176,1),(202,1)}
       144:{2,3,5,6}:{(116,1),(117,1),(121,1),(160,1),(164,1),(166,1),(168,1),(198,1),(202,1)}
       145:{4,6}:{(117,1),(122,1),(165,1)}
       146:{1,2,3,6}:{(118,1),(119,1),(169,1),(202,1),(226,1)}
       147:{1,2,5}:{(119,1),(120,1),(121,1)}
       148:{1,4,5}:{(120,1),(122,1),(167,1),(171,1)}
       149:{2,4,5}:{(121,1),(122,1),(168,1),(172,1)}
       150:{1,6,7}:{(123,1),(124,1)}
       151:{3,5,6,7}:{(124,1),(125,1),(127,1),(173,1),(174,1),(208,1)}
       152:{1,5,7}:{(126,1),(127,1),(128,1)}
       153:{4,5,7}:{(127,1),(129,1),(165,1),(174,1)}
       154:{1,4,5,6}:{(128,1),(129,1),(167,1),(175,1),(176,1)}
       155:{2,5,7}:{(130,1),(131,1),(133,1),(177,1)}
       156:{3,6,7}:{(131,1),(132,1),(177,1)}
       157:{1,5,6,7}:{(132,1),(135,1),(178,1),(228,1)}
       158:{2,4,6,7}:{(133,1),(134,1),(136,1),(140,1),(177,1),(179,1),(184,1)}
       159:{3,5,7}:{(134,1),(135,1),(137,1),(179,1),(180,1)}
       160:{2,5,6}:{(136,1),(137,1),(179,1)}
       161:{4,5,6}:{(137,1),(145,1),(180,1)}
       162:{1,2,6,7}:{(138,1),(139,1),(140,1),(142,1),(182,1),(221,1),(228,1)}
       163:{1,3,5,7}:{(139,1),(141,1),(143,1),(152,1),(182,1),(183,1),(193,1),(213,1)}
       164:{2,3,5,7}:{(140,1),(141,1),(144,1),(179,1),(182,1),(184,1),(211,1),(213,1)}
       165:{4,7}:{(141,1),(145,1)}
       166:{1,2,5,6}:{(142,1),(143,1),(144,1),(147,1),(182,1),(185,1),(194,1),(212,1)}
       167:{1,4,6}:{(143,1),(145,1),(148,1),(183,1),(186,1)}
       168:{2,4,6}:{(144,1),(145,1),(149,1),(184,1),(187,1)}
       169:{1,2,3,5}:{(146,1),(147,1),(188,1),(189,1),(220,1),(230,1)}
       170:{1,2,4,5}:{(147,1),(148,1),(149,1),(185,1),(188,1),(189,1),(190,1),(191,1),(220,1)}
       171:{3,4,5}:{(148,1),(186,1),(189,1),(190,1)}
       172:{3,4,5}:{(149,1),(187,1),(189,1),(191,1)}
       173:{1,5,6,7}:{(150,1),(151,1),(152,1),(192,1)}
       174:{4,6,7}:{(151,1),(153,1)}
       175:{1,4,5,7}:{(152,1),(153,1),(154,1),(183,1),(192,1),(193,1)}
       176:{3,5,6}:{(154,1),(186,1),(193,1),(194,1)}
       177:{2,6,7}:{(155,1),(156,1)}
       178:{3,5,6,7}:{(156,1),(157,1),(159,1),(195,1),(196,1),(222,1)}
       179:{2,5,7}:{(158,1),(159,1),(160,1)}
       180:{4,5,7}:{(159,1),(161,1),(165,1),(196,1)}
       181:{2,4,5,6}:{(160,1),(161,1),(168,1),(197,1),(198,1)}
       182:{1,2,5,7}:{(162,1),(163,1),(164,1),(166,1),(199,1),(209,1),(223,1)}
       183:{1,4,7}:{(163,1),(165,1),(167,1),(200,1)}
       184:{2,4,7}:{(164,1),(165,1),(168,1),(201,1)}
       185:{1,2,4,6}:{(166,1),(167,1),(168,1),(170,1),(199,1),(202,1),(203,1),(204,1),(226,1)}
       186:{3,4,6}:{(167,1),(171,1),(176,1),(200,1),(202,1),(203,1)}
       187:{3,4,6}:{(168,1),(172,1),(198,1),(201,1),(202,1),(204,1)}
       188:{1,2,4}:{(169,1),(205,1)}
       189:{3,5}:{(170,1),(202,1),(205,1)}
       190:{2,4,5}:{(171,1),(203,1),(207,1)}
       191:{1,4,5}:{(172,1),(204,1),(206,1)}
       192:{1,4,6,7}:{(173,1),(174,1),(175,1),(208,1)}
       193:{3,5,7}:{(175,1),(176,1),(200,1),(208,1),(209,1)}
       194:{2,5,6}:{(176,1),(203,1),(209,1)}
       195:{2,5,6,7}:{(177,1),(178,1),(179,1),(210,1)}
       196:{4,6,7}:{(178,1),(180,1)}
       197:{2,4,5,7}:{(179,1),(180,1),(181,1),(184,1),(210,1),(211,1)}
       198:{3,5,6}:{(181,1),(187,1),(211,1),(212,1)}
       199:{1,2,4,7}:{(182,1),(183,1),(184,1),(185,1),(213,1),(214,1),(215,1),(229,1)}
       200:{3,4,7}:{(183,1),(186,1),(193,1),(213,1),(214,1)}
       201:{3,4,7}:{(184,1),(187,1),(211,1),(213,1),(215,1)}
       202:{3,6}:{(185,1),(189,1),(213,1)}
       203:{2,4,6}:{(186,1),(190,1),(194,1),(214,1),(217,1)}
       204:{1,4,6}:{(187,1),(191,1),(212,1),(215,1),(216,1)}
       205:{3,4}:{(188,1),(189,1)}
       206:{1,3,5}:{(189,1),(191,1),(216,1),(218,1),(220,1)}
       207:{2,3,5}:{(189,1),(190,1),(217,1),(219,1),(220,1)}
       208:{3,6,7}:{(192,1),(193,1),(221,1)}
       209:{2,5,7}:{(193,1),(194,1),(214,1),(221,1)}
       210:{2,4,6,7}:{(195,1),(196,1),(197,1),(222,1)}
       211:{3,5,7}:{(197,1),(198,1),(201,1),(222,1),(223,1)}
       212:{1,5,6}:{(198,1),(204,1),(223,1)}
       213:{3,7}:{(199,1),(202,1)}
       214:{2,4,7}:{(200,1),(203,1),(209,1),(225,1)}
       215:{1,4,7}:{(201,1),(204,1),(223,1),(224,1)}
       216:{1,3,6}:{(202,1),(204,1),(206,1),(224,1),(226,1)}
       217:{2,3,6}:{(202,1),(203,1),(207,1),(225,1),(226,1)}
       218:{1,3,4}:{(205,1),(206,1),(227,1)}
       219:{2,3,4}:{(205,1),(207,1),(227,1)}
       220:{1,2,5}:{(206,1),(207,1),(226,1),(227,1)}
       221:{2,6,7}:{(208,1),(209,1)}
       222:{3,6,7}:{(210,1),(211,1),(228,1)}
       223:{1,5,7}:{(211,1),(212,1),(215,1),(228,1)}
       224:{1,3,7}:{(213,1),(215,1),(216,1),(229,1)}
       225:{2,3,7}:{(213,1),(214,1),(217,1),(229,1)}
       226:{1,2,6}:{(216,1),(217,1),(220,1),(229,1)}
       227:{1,2,4}:{(218,1),(219,1),(220,1),(230,1)}
       228:{1,6,7}:{(222,1),(223,1)}
       229:{1,2,7}:{(224,1),(225,1),(226,1)}
       230:{1,2,3}:{(227,1)}

 522 :   0:{1,2,3,7}:{(2,1),(4,1),(123,1),(183,1),(230,1)}
         1:{2,3,4,7}:{(2,1),(5,1),(6,1),(21,1),(73,1),(123,1),(219,1)}
         2:{1,2,4,7}:{(0,1),(1,1),(7,1),(8,1),(9,1),(227,1)}
         3:{1,2,3,5,7}:{(0,1),(8,1),(10,1),(11,1),(12,1),(32,1),(40,1),(83,1),(93,1),(159,1)}
         4:{1,2,3,6}:{(0,1),(9,1),(12,1),(90,1),(158,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(13,1),(14,1),(15,1),(32,1),(206,1),(225,1)}
         6:{2,3,4,6}:{(1,1),(9,1),(14,1),(15,1),(39,1),(41,1),(47,1),(90,1)}
         7:{1,3,4,7}:{(2,1),(16,1),(17,1),(21,1),(113,1),(123,1),(218,1)}
         8:{1,2,5,7}:{(2,1),(5,1),(16,1),(19,1),(20,1),(220,1),(229,1)}
         9:{1,2,4,6}:{(2,1),(4,1),(6,1),(17,1),(19,1),(20,1),(23,1)}
        10:{1,2,4,7}:{(3,1),(21,1),(22,1),(23,1),(184,1)}
        11:{1,2,3,6}:{(3,1),(19,1),(22,1),(56,1),(116,1)}
        12:{1,2,3,5}:{(4,1),(20,1),(23,1),(61,1),(126,1),(131,1)}
        13:{2,4,5,7}:{(5,1),(24,1),(25,1),(28,1),(71,1),(73,1),(186,1),(216,1)}
        14:{2,3,6}:{(5,1),(19,1),(25,1),(56,1)}
        15:{2,3,5}:{(6,1),(20,1),(28,1),(61,1),(65,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(29,1),(30,1),(31,1),(32,1),(205,1),(224,1)}
        17:{1,3,4,6}:{(7,1),(9,1),(30,1),(31,1),(39,1),(41,1),(81,1),(90,1)}
        18:{1,2,4,5,7}:{(8,1),(10,1),(13,1),(29,1),(32,1),(33,1),(36,1),(40,1),(42,1),(76,1),(83,1),(88,1),(89,1),(97,1),(155,1),(160,1),(198,1)}
        19:{1,2,6}:{(8,1),(14,1),(30,1)}
        20:{1,2,5}:{(9,1),(15,1),(31,1)}
        21:{3,4,7}:{(10,1),(32,1),(39,1),(41,1),(155,1),(204,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(39,1),(40,1)}
        23:{1,2,4}:{(12,1),(41,1)}
        24:{3,4,5,7}:{(13,1),(32,1),(42,1),(43,1),(48,1),(97,1),(101,1),(106,1),(155,1),(161,1),(200,1)}
        25:{2,4,6}:{(13,1),(14,1),(43,1),(45,1)}
        26:{2,3,6,7}:{(14,1),(34,1),(44,1),(46,1),(86,1),(167,1),(225,1)}
        27:{2,3,5,6}:{(14,1),(15,1),(35,1),(45,1),(46,1),(47,1),(87,1),(90,1),(105,1)}
        28:{2,4,5}:{(15,1),(47,1),(48,1),(97,1)}
        29:{1,4,5,7}:{(16,1),(49,1),(50,1),(53,1),(111,1),(113,1),(187,1),(217,1)}
        30:{1,3,6}:{(16,1),(19,1),(50,1),(56,1)}
        31:{1,3,5}:{(17,1),(20,1),(53,1),(61,1),(65,1)}
        32:{3,5,7}:{(18,1),(21,1),(56,1),(61,1),(65,1),(123,1),(185,1),(213,1)}
        33:{1,2,4,6}:{(18,1),(19,1),(25,1),(50,1),(56,1),(58,1),(68,1),(108,1),(116,1),(122,1)}
        34:{1,2,6,7}:{(19,1),(26,1),(51,1),(59,1),(191,1),(212,1),(229,1)}
        35:{1,2,5,6}:{(19,1),(20,1),(27,1),(52,1),(59,1),(60,1),(138,1),(175,1)}
        36:{1,2,4,5}:{(20,1),(23,1),(28,1),(53,1),(60,1),(61,1),(75,1),(115,1),(126,1)}
        37:{1,3,4,7}:{(21,1),(54,1),(62,1),(63,1),(66,1),(179,1),(213,1)}
        38:{2,3,4,7}:{(21,1),(55,1),(62,1),(64,1),(67,1),(181,1),(213,1)}
        39:{3,4,6}:{(21,1),(22,1),(56,1),(65,1),(122,1)}
        40:{1,2,5}:{(22,1),(65,1)}
        41:{3,4}:{(23,1),(61,1)}
        42:{1,4,5,7}:{(24,1),(54,1),(68,1),(75,1),(129,1),(132,1),(139,1),(179,1)}
        43:{3,4,6}:{(24,1),(25,1),(56,1),(68,1),(70,1),(122,1)}
        44:{2,4,6,7}:{(25,1),(26,1),(69,1),(71,1),(73,1),(216,1),(221,1)}
        45:{2,5,6}:{(25,1),(70,1),(71,1)}
        46:{2,3,5,7}:{(26,1),(27,1),(59,1),(71,1),(73,1),(121,1),(123,1),(137,1)}
        47:{2,4,6}:{(27,1),(28,1),(73,1),(74,1),(122,1)}
        48:{3,4,5}:{(28,1),(61,1),(74,1),(75,1)}
        49:{3,4,5,7}:{(29,1),(32,1),(76,1),(77,1),(82,1),(97,1),(142,1),(147,1),(155,1),(162,1),(202,1)}
        50:{1,4,6}:{(29,1),(30,1),(77,1),(79,1)}
        51:{1,3,6,7}:{(30,1),(34,1),(78,1),(80,1),(86,1),(196,1),(224,1)}
        52:{1,3,5,6}:{(30,1),(31,1),(35,1),(79,1),(80,1),(81,1),(87,1),(90,1),(146,1)}
        53:{1,4,5}:{(31,1),(81,1),(82,1),(97,1)}
        54:{1,3,5,7}:{(32,1),(37,1),(42,1),(83,1),(84,1),(91,1),(95,1),(156,1)}
        55:{2,3,5,7}:{(32,1),(38,1),(76,1),(83,1),(85,1),(92,1),(96,1),(157,1)}
        56:{3,6}:{(32,1),(33,1)}
        57:{1,2,4,6,7}:{(33,1),(34,1),(44,1),(78,1),(86,1),(88,1),(89,1),(99,1),(140,1),(149,1),(155,1),(198,1)}
        58:{1,2,5,6}:{(33,1),(40,1),(45,1),(79,1),(87,1),(88,1),(100,1),(141,1)}
        59:{1,2,5,7}:{(34,1),(35,1),(46,1),(80,1),(89,1),(168,1),(197,1)}
        60:{1,2,4,6}:{(35,1),(36,1),(47,1),(81,1),(89,1),(90,1),(107,1),(148,1),(158,1)}
        61:{3,5}:{(36,1),(41,1),(90,1)}
        62:{1,2,4,7}:{(37,1),(38,1),(83,1),(93,1),(94,1),(98,1)}
        63:{1,3,4,6}:{(37,1),(39,1),(84,1),(94,1),(95,1),(152,1),(199,1),(204,1)}
        64:{2,3,4,6}:{(38,1),(39,1),(85,1),(94,1),(96,1),(154,1),(199,1),(204,1)}
        65:{3,5}:{(39,1),(40,1),(97,1)}
        66:{1,3,4}:{(41,1),(91,1),(98,1)}
        67:{2,3,4}:{(41,1),(92,1),(98,1)}
        68:{1,4,6}:{(42,1),(43,1),(84,1),(100,1)}
        69:{3,4,6,7}:{(43,1),(44,1),(86,1),(99,1),(101,1),(106,1),(155,1),(166,1),(167,1),(200,1),(207,1)}
        70:{3,5,6}:{(43,1),(45,1),(100,1),(101,1),(102,1)}
        71:{2,5,7}:{(44,1),(45,1),(101,1)}
        72:{2,4,5,6}:{(45,1),(47,1),(102,1),(104,1),(105,1)}
        73:{2,4,7}:{(46,1),(47,1),(106,1),(155,1)}
        74:{3,4,6}:{(47,1),(48,1),(90,1),(105,1),(106,1),(107,1)}
        75:{1,4,5}:{(48,1),(91,1),(107,1)}
        76:{2,4,5,7}:{(49,1),(55,1),(108,1),(115,1),(130,1),(169,1),(176,1),(181,1)}
        77:{3,4,6}:{(49,1),(50,1),(56,1),(108,1),(110,1),(122,1)}
        78:{1,4,6,7}:{(50,1),(51,1),(109,1),(111,1),(113,1),(217,1),(228,1)}
        79:{1,5,6}:{(50,1),(110,1),(111,1)}
        80:{1,3,5,7}:{(51,1),(52,1),(59,1),(111,1),(113,1),(121,1),(123,1),(174,1)}
        81:{1,4,6}:{(52,1),(53,1),(113,1),(114,1),(122,1)}
        82:{3,4,5}:{(53,1),(61,1),(114,1),(115,1)}
        83:{1,2,5,7}:{(54,1),(55,1),(62,1),(116,1),(126,1),(128,1),(183,1)}
        84:{1,3,6}:{(54,1),(56,1),(68,1),(116,1)}
        85:{2,3,6}:{(55,1),(56,1),(108,1),(116,1)}
        86:{3,6,7}:{(56,1),(57,1),(121,1),(123,1),(213,1)}
        87:{3,5,6}:{(56,1),(58,1),(65,1),(121,1),(122,1)}
        88:{1,2,5,7}:{(57,1),(58,1),(71,1),(111,1),(121,1),(132,1),(169,1)}
        89:{1,2,4,7}:{(59,1),(60,1),(73,1),(113,1),(123,1),(139,1),(176,1),(183,1)}
        90:{3,6}:{(60,1),(61,1),(123,1)}
        91:{1,3,5}:{(61,1),(66,1),(75,1),(124,1),(126,1)}
        92:{2,3,5}:{(61,1),(67,1),(115,1),(125,1),(126,1)}
        93:{1,2,3,7}:{(62,1),(127,1),(131,1),(213,1),(229,1)}
        94:{1,2,4,6}:{(62,1),(63,1),(64,1),(116,1),(127,1),(128,1),(184,1)}
        95:{1,3,5}:{(63,1),(65,1),(128,1),(129,1),(185,1)}
        96:{2,3,5}:{(64,1),(65,1),(128,1),(130,1),(185,1)}
        97:{4,5}:{(65,1),(122,1)}
        98:{1,2,4}:{(66,1),(67,1),(126,1),(131,1)}
        99:{1,4,6,7}:{(68,1),(69,1),(117,1),(132,1),(139,1),(179,1),(191,1)}
       100:{1,5,6}:{(68,1),(70,1),(132,1)}
       101:{3,5,7}:{(69,1),(70,1),(71,1),(132,1),(135,1)}
       102:{4,5,6}:{(70,1),(122,1),(135,1)}
       103:{2,5,6,7}:{(71,1),(134,1),(136,1),(221,1)}
       104:{2,4,5,7}:{(71,1),(72,1),(73,1),(135,1),(136,1),(137,1)}
       105:{3,5,6}:{(72,1),(74,1),(137,1),(138,1)}
       106:{3,4,7}:{(73,1),(74,1),(123,1),(137,1),(139,1)}
       107:{1,4,6}:{(74,1),(75,1),(124,1),(138,1),(139,1)}
       108:{2,4,6}:{(76,1),(77,1),(85,1),(141,1)}
       109:{3,4,6,7}:{(77,1),(78,1),(86,1),(140,1),(142,1),(147,1),(155,1),(195,1),(196,1),(202,1),(222,1)}
       110:{3,5,6}:{(77,1),(79,1),(141,1),(142,1),(143,1)}
       111:{1,5,7}:{(78,1),(79,1),(142,1)}
       112:{1,4,5,6}:{(79,1),(81,1),(143,1),(145,1),(146,1)}
       113:{1,4,7}:{(80,1),(81,1),(147,1),(155,1)}
       114:{3,4,6}:{(81,1),(82,1),(90,1),(146,1),(147,1),(148,1)}
       115:{2,4,5}:{(82,1),(92,1),(148,1)}
       116:{1,2,6}:{(83,1),(84,1),(85,1)}
       117:{1,3,6,7}:{(84,1),(86,1),(99,1),(149,1),(151,1),(156,1),(207,1)}
       118:{1,3,5,6}:{(84,1),(87,1),(95,1),(100,1),(150,1),(151,1),(152,1),(165,1),(199,1)}
       119:{2,3,6,7}:{(85,1),(86,1),(140,1),(149,1),(153,1),(157,1),(222,1)}
       120:{2,3,5,6}:{(85,1),(87,1),(96,1),(141,1),(150,1),(153,1),(154,1),(194,1),(199,1)}
       121:{3,5,7}:{(86,1),(87,1),(88,1),(155,1)}
       122:{4,6}:{(87,1),(97,1),(155,1)}
       123:{3,7}:{(89,1),(90,1)}
       124:{1,3,6}:{(90,1),(91,1),(107,1),(156,1),(158,1)}
       125:{2,3,6}:{(90,1),(92,1),(148,1),(157,1),(158,1)}
       126:{1,2,5}:{(91,1),(92,1),(98,1),(158,1)}
       127:{1,2,3,6}:{(93,1),(94,1),(159,1),(199,1),(226,1)}
       128:{1,2,5}:{(94,1),(95,1),(96,1)}
       129:{1,4,5}:{(95,1),(97,1),(152,1),(161,1)}
       130:{2,4,5}:{(96,1),(97,1),(154,1),(162,1)}
       131:{1,2,3}:{(98,1)}
       132:{1,5,7}:{(99,1),(100,1),(101,1)}
       133:{1,4,5,6}:{(100,1),(102,1),(152,1),(164,1),(165,1)}
       134:{3,5,6,7}:{(101,1),(103,1),(163,1),(166,1),(167,1),(207,1)}
       135:{4,5,7}:{(101,1),(102,1),(155,1),(166,1)}
       136:{2,4,6,7}:{(103,1),(104,1),(166,1),(167,1)}
       137:{3,5,7}:{(104,1),(105,1),(106,1),(167,1),(168,1)}
       138:{1,5,6}:{(105,1),(107,1),(168,1)}
       139:{1,4,7}:{(106,1),(107,1),(156,1),(168,1)}
       140:{2,4,6,7}:{(108,1),(109,1),(119,1),(169,1),(176,1),(181,1),(212,1)}
       141:{2,5,6}:{(108,1),(110,1),(169,1)}
       142:{3,5,7}:{(109,1),(110,1),(111,1),(169,1),(172,1)}
       143:{4,5,6}:{(110,1),(122,1),(172,1)}
       144:{1,5,6,7}:{(111,1),(171,1),(173,1),(228,1)}
       145:{1,4,5,7}:{(111,1),(112,1),(113,1),(172,1),(173,1),(174,1)}
       146:{3,5,6}:{(112,1),(114,1),(174,1),(175,1)}
       147:{3,4,7}:{(113,1),(114,1),(123,1),(174,1),(176,1)}
       148:{2,4,6}:{(114,1),(115,1),(125,1),(175,1),(176,1)}
       149:{1,2,6,7}:{(116,1),(117,1),(119,1),(177,1),(183,1),(221,1),(228,1)}
       150:{1,2,5,6}:{(116,1),(118,1),(120,1),(128,1),(177,1),(178,1),(190,1),(211,1)}
       151:{1,3,5,7}:{(117,1),(118,1),(121,1),(132,1),(177,1),(179,1),(189,1),(213,1)}
       152:{1,4,6}:{(118,1),(122,1),(129,1),(179,1),(180,1)}
       153:{2,3,5,7}:{(119,1),(120,1),(121,1),(169,1),(177,1),(181,1),(210,1),(213,1)}
       154:{2,4,6}:{(120,1),(122,1),(130,1),(181,1),(182,1)}
       155:{4,7}:{(121,1),(122,1)}
       156:{1,3,7}:{(123,1),(124,1),(139,1),(183,1)}
       157:{2,3,7}:{(123,1),(125,1),(176,1),(183,1)}
       158:{1,2,6}:{(124,1),(125,1),(126,1),(183,1)}
       159:{1,2,3,5}:{(127,1),(128,1),(184,1),(185,1),(220,1),(230,1)}
       160:{1,2,4,5}:{(128,1),(129,1),(130,1),(178,1),(184,1),(185,1),(186,1),(187,1),(220,1)}
       161:{3,4,5}:{(129,1),(180,1),(185,1),(186,1)}
       162:{3,4,5}:{(130,1),(182,1),(185,1),(187,1)}
       163:{1,5,6,7}:{(132,1),(134,1),(188,1),(191,1)}
       164:{1,4,5,7}:{(132,1),(133,1),(135,1),(179,1),(188,1),(189,1)}
       165:{3,5,6}:{(133,1),(180,1),(189,1),(190,1)}
       166:{4,6,7}:{(134,1),(135,1)}
       167:{3,6,7}:{(136,1),(137,1),(191,1)}
       168:{1,5,7}:{(137,1),(138,1),(139,1),(191,1)}
       169:{2,5,7}:{(140,1),(141,1),(142,1)}
       170:{2,4,5,6}:{(141,1),(143,1),(154,1),(193,1),(194,1)}
       171:{3,5,6,7}:{(142,1),(144,1),(192,1),(195,1),(196,1),(222,1)}
       172:{4,5,7}:{(142,1),(143,1),(155,1),(195,1)}
       173:{1,4,6,7}:{(144,1),(145,1),(195,1),(196,1)}
       174:{3,5,7}:{(145,1),(146,1),(147,1),(196,1),(197,1)}
       175:{2,5,6}:{(146,1),(148,1),(197,1)}
       176:{2,4,7}:{(147,1),(148,1),(157,1),(197,1)}
       177:{1,2,5,7}:{(149,1),(150,1),(151,1),(153,1),(198,1),(208,1),(223,1)}
       178:{1,2,4,6}:{(150,1),(152,1),(154,1),(160,1),(198,1),(199,1),(201,1),(203,1),(226,1)}
       179:{1,4,7}:{(151,1),(152,1),(155,1),(200,1)}
       180:{3,4,6}:{(152,1),(161,1),(165,1),(199,1),(200,1),(201,1)}
       181:{2,4,7}:{(153,1),(154,1),(155,1),(202,1)}
       182:{3,4,6}:{(154,1),(162,1),(194,1),(199,1),(202,1),(203,1)}
       183:{1,2,7}:{(156,1),(157,1),(158,1)}
       184:{1,2,4}:{(159,1),(204,1)}
       185:{3,5}:{(160,1),(199,1),(204,1)}
       186:{2,4,5}:{(161,1),(201,1),(206,1)}
       187:{1,4,5}:{(162,1),(203,1),(205,1)}
       188:{1,4,6,7}:{(163,1),(164,1),(166,1),(207,1)}
       189:{3,5,7}:{(164,1),(165,1),(200,1),(207,1),(208,1)}
       190:{2,5,6}:{(165,1),(201,1),(208,1)}
       191:{1,6,7}:{(167,1),(168,1)}
       192:{2,5,6,7}:{(169,1),(171,1),(209,1),(212,1)}
       193:{2,4,5,7}:{(169,1),(170,1),(172,1),(181,1),(209,1),(210,1)}
       194:{3,5,6}:{(170,1),(182,1),(210,1),(211,1)}
       195:{4,6,7}:{(171,1),(172,1)}
       196:{3,6,7}:{(173,1),(174,1),(212,1)}
       197:{2,5,7}:{(174,1),(175,1),(176,1),(212,1)}
       198:{1,2,4,7}:{(177,1),(178,1),(179,1),(181,1),(213,1),(216,1),(217,1),(229,1)}
       199:{3,6}:{(178,1),(185,1),(213,1)}
       200:{3,4,7}:{(179,1),(180,1),(189,1),(213,1),(216,1)}
       201:{2,4,6}:{(180,1),(186,1),(190,1),(215,1),(216,1)}
       202:{3,4,7}:{(181,1),(182,1),(210,1),(213,1),(217,1)}
       203:{1,4,6}:{(182,1),(187,1),(211,1),(214,1),(217,1)}
       204:{3,4}:{(184,1),(185,1)}
       205:{1,3,5}:{(185,1),(187,1),(214,1),(218,1),(220,1)}
       206:{2,3,5}:{(185,1),(186,1),(215,1),(219,1),(220,1)}
       207:{3,6,7}:{(188,1),(189,1),(221,1)}
       208:{2,5,7}:{(189,1),(190,1),(216,1),(221,1)}
       209:{2,4,6,7}:{(192,1),(193,1),(195,1),(222,1)}
       210:{3,5,7}:{(193,1),(194,1),(202,1),(222,1),(223,1)}
       211:{1,5,6}:{(194,1),(203,1),(223,1)}
       212:{2,6,7}:{(196,1),(197,1)}
       213:{3,7}:{(198,1),(199,1)}
       214:{1,3,6}:{(199,1),(203,1),(205,1),(224,1),(226,1)}
       215:{2,3,6}:{(199,1),(201,1),(206,1),(225,1),(226,1)}
       216:{2,4,7}:{(200,1),(201,1),(208,1),(225,1)}
       217:{1,4,7}:{(202,1),(203,1),(223,1),(224,1)}
       218:{1,3,4}:{(204,1),(205,1),(227,1)}
       219:{2,3,4}:{(204,1),(206,1),(227,1)}
       220:{1,2,5}:{(205,1),(206,1),(226,1),(227,1)}
       221:{2,6,7}:{(207,1),(208,1)}
       222:{3,6,7}:{(209,1),(210,1),(228,1)}
       223:{1,5,7}:{(210,1),(211,1),(217,1),(228,1)}
       224:{1,3,7}:{(213,1),(214,1),(217,1),(229,1)}
       225:{2,3,7}:{(213,1),(215,1),(216,1),(229,1)}
       226:{1,2,6}:{(214,1),(215,1),(220,1),(229,1)}
       227:{1,2,4}:{(218,1),(219,1),(220,1),(230,1)}
       228:{1,6,7}:{(222,1),(223,1)}
       229:{1,2,7}:{(224,1),(225,1),(226,1)}
       230:{1,2,3}:{(227,1)}

 523 :   0:{1,3,5,6}:{(2,1),(3,1),(4,1),(18,1),(21,1),(50,1),(60,1),(61,1),(94,1),(96,1),(125,1),(150,1)}
         1:{2,3,5,6}:{(2,1),(5,1),(6,1),(18,1),(26,1),(51,1),(65,1),(66,1),(95,1),(96,1),(126,1),(150,1)}
         2:{1,2,5,6}:{(0,1),(1,1),(7,1),(8,1),(37,1),(43,1),(72,1),(81,1),(85,1),(112,1),(139,1)}
         3:{1,4,6}:{(0,1),(9,1),(10,1),(11,1),(69,1),(115,1),(159,1)}
         4:{1,3,5,7}:{(0,1),(8,1),(11,1),(12,1),(35,1),(38,1),(42,1),(80,1)}
         5:{2,4,6}:{(1,1),(13,1),(14,1),(15,1),(70,1),(115,1),(159,1)}
         6:{2,3,5,7}:{(1,1),(8,1),(15,1),(16,1),(35,1),(44,1),(48,1),(80,1)}
         7:{1,2,4,6}:{(2,1),(3,1),(5,1),(17,1),(18,1),(19,1),(23,1),(28,1),(54,1),(89,1)}
         8:{1,2,5,7}:{(2,1),(4,1),(6,1),(19,1),(20,1),(59,1),(64,1)}
         9:{1,4,5}:{(3,1),(21,1),(125,1),(127,1)}
        10:{3,4,6}:{(3,1),(18,1),(21,1),(23,1),(24,1),(49,1),(60,1)}
        11:{1,4,7}:{(3,1),(4,1),(24,1),(100,1)}
        12:{1,3,6,7}:{(4,1),(20,1),(25,1),(57,1),(60,1),(94,1),(157,1)}
        13:{2,4,5}:{(5,1),(26,1),(126,1),(127,1)}
        14:{3,4,6}:{(5,1),(18,1),(26,1),(28,1),(29,1),(49,1),(65,1)}
        15:{2,4,7}:{(5,1),(6,1),(29,1),(100,1)}
        16:{2,3,6,7}:{(6,1),(20,1),(30,1),(57,1),(65,1),(95,1),(158,1)}
        17:{1,2,4,5}:{(7,1),(9,1),(13,1),(31,1),(37,1),(43,1),(69,1),(70,1),(72,1),(139,1),(159,1)}
        18:{3,6}:{(7,1),(31,1),(35,1),(107,1)}
        19:{1,2,4,7}:{(7,1),(8,1),(11,1),(15,1),(35,1),(40,1),(46,1),(77,1)}
        20:{1,2,6,7}:{(8,1),(12,1),(16,1),(81,1),(85,1),(112,1),(165,1)}
        21:{3,5}:{(9,1),(10,1),(37,1)}
        22:{1,4,5,7}:{(9,1),(11,1),(38,1),(39,1),(42,1),(84,1)}
        23:{2,4,6}:{(10,1),(34,1),(37,1),(40,1),(70,1),(81,1)}
        24:{3,4,7}:{(10,1),(11,1),(35,1),(38,1),(40,1)}
        25:{1,4,6,7}:{(11,1),(12,1),(39,1),(41,1),(42,1),(109,1),(147,1),(148,1)}
        26:{3,5}:{(13,1),(14,1),(43,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(44,1),(45,1),(48,1),(88,1)}
        28:{1,4,6}:{(14,1),(33,1),(43,1),(46,1),(69,1),(85,1)}
        29:{3,4,7}:{(14,1),(15,1),(35,1),(44,1),(46,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(45,1),(47,1),(48,1),(110,1),(146,1),(149,1)}
        31:{3,5}:{(17,1),(18,1),(49,1)}
        32:{1,2,4,5,7}:{(17,1),(19,1),(22,1),(27,1),(52,1),(53,1),(58,1),(59,1),(64,1),(90,1),(91,1),(93,1),(100,1),(103,1),(106,1),(125,1),(126,1),(127,1),(131,1),(135,1),(137,1),(151,1)}
        33:{1,3,6}:{(18,1),(28,1),(50,1),(54,1),(55,1)}
        34:{2,3,6}:{(18,1),(23,1),(51,1),(54,1),(56,1)}
        35:{3,7}:{(18,1),(19,1)}
        36:{1,2,4,6,7}:{(19,1),(20,1),(25,1),(30,1),(53,1),(57,1),(58,1),(62,1),(67,1),(97,1),(100,1),(124,1),(131,1)}
        37:{2,5}:{(21,1),(23,1)}
        38:{3,5,7}:{(21,1),(22,1),(24,1),(59,1),(60,1)}
        39:{1,4,6}:{(22,1),(60,1),(61,1),(102,1)}
        40:{2,4,7}:{(23,1),(24,1),(56,1),(59,1)}
        41:{3,4,6,7}:{(24,1),(25,1),(57,1),(60,1),(62,1),(63,1),(92,1),(100,1),(102,1),(133,1),(134,1)}
        42:{1,5,7}:{(25,1),(61,1),(63,1),(125,1)}
        43:{1,5}:{(26,1),(28,1)}
        44:{3,5,7}:{(26,1),(27,1),(29,1),(64,1),(65,1)}
        45:{2,4,6}:{(27,1),(65,1),(66,1),(105,1)}
        46:{1,4,7}:{(28,1),(29,1),(55,1),(64,1)}
        47:{3,4,6,7}:{(29,1),(30,1),(57,1),(65,1),(67,1),(68,1),(92,1),(100,1),(105,1),(132,1),(136,1)}
        48:{2,5,7}:{(30,1),(66,1),(68,1),(126,1)}
        49:{3,4}:{(31,1),(69,1),(70,1),(107,1),(159,1)}
        50:{1,3,5}:{(31,1),(33,1),(43,1),(69,1),(72,1),(107,1)}
        51:{2,3,5}:{(31,1),(34,1),(37,1),(70,1),(72,1),(107,1)}
        52:{3,5,7}:{(31,1),(32,1),(35,1),(71,1),(75,1),(111,1),(145,1),(160,1)}
        53:{1,2,4,6}:{(32,1),(39,1),(45,1),(75,1),(76,1),(81,1),(85,1),(109,1),(110,1),(112,1),(115,1),(119,1),(121,1),(148,1),(149,1)}
        54:{1,2,6}:{(33,1),(34,1),(72,1),(77,1)}
        55:{1,3,7}:{(33,1),(35,1),(46,1),(77,1)}
        56:{2,3,7}:{(34,1),(35,1),(40,1),(77,1)}
        57:{3,6,7}:{(35,1),(36,1),(75,1),(80,1),(138,1),(145,1)}
        58:{1,2,5,7}:{(36,1),(42,1),(48,1),(76,1),(80,1),(83,1),(87,1),(139,1)}
        59:{2,5,7}:{(37,1),(38,1),(40,1),(81,1)}
        60:{3,6}:{(38,1),(39,1),(81,1)}
        61:{1,5,6}:{(39,1),(42,1),(82,1),(148,1)}
        62:{2,4,6,7}:{(40,1),(41,1),(79,1),(81,1),(83,1),(110,1),(118,1),(119,1)}
        63:{3,5,7}:{(41,1),(42,1),(82,1),(83,1),(84,1),(111,1)}
        64:{1,5,7}:{(43,1),(44,1),(46,1),(85,1)}
        65:{3,6}:{(44,1),(45,1),(85,1)}
        66:{2,5,6}:{(45,1),(48,1),(86,1),(149,1)}
        67:{1,4,6,7}:{(46,1),(47,1),(78,1),(85,1),(87,1),(109,1),(117,1),(121,1)}
        68:{3,5,7}:{(47,1),(48,1),(86,1),(87,1),(88,1),(111,1)}
        69:{1,4}:{(49,1),(50,1)}
        70:{2,4}:{(49,1),(51,1)}
        71:{3,4,7}:{(49,1),(52,1),(90,1),(91,1),(92,1),(100,1),(123,1),(166,1)}
        72:{1,2,5}:{(50,1),(51,1),(54,1),(89,1)}
        73:{1,3,5,7}:{(50,1),(52,1),(55,1),(64,1),(90,1),(93,1),(94,1),(123,1),(125,1),(135,1),(150,1),(157,1),(167,1)}
        74:{2,3,5,7}:{(51,1),(52,1),(56,1),(59,1),(91,1),(93,1),(95,1),(123,1),(126,1),(137,1),(150,1),(158,1),(168,1)}
        75:{3,6}:{(52,1),(53,1)}
        76:{1,2,5,6}:{(53,1),(58,1),(61,1),(66,1),(96,1),(101,1),(104,1),(125,1),(126,1)}
        77:{1,2,7}:{(54,1),(55,1),(56,1)}
        78:{1,3,6,7}:{(55,1),(57,1),(67,1),(94,1),(97,1),(98,1),(136,1)}
        79:{2,3,6,7}:{(56,1),(57,1),(62,1),(95,1),(97,1),(99,1),(134,1)}
        80:{3,5,7}:{(57,1),(58,1),(96,1),(100,1),(150,1)}
        81:{2,6}:{(59,1),(60,1)}
        82:{3,5,6}:{(60,1),(61,1),(63,1),(101,1),(102,1),(134,1)}
        83:{2,5,7}:{(62,1),(63,1),(101,1),(126,1)}
        84:{4,5,7}:{(63,1),(100,1),(102,1),(127,1)}
        85:{1,6}:{(64,1),(65,1)}
        86:{3,5,6}:{(65,1),(66,1),(68,1),(104,1),(105,1),(136,1)}
        87:{1,5,7}:{(67,1),(68,1),(104,1),(125,1)}
        88:{4,5,7}:{(68,1),(100,1),(105,1),(127,1)}
        89:{1,2,4}:{(69,1),(70,1),(72,1),(107,1)}
        90:{1,4,7}:{(69,1),(71,1),(73,1),(109,1),(159,1),(170,1)}
        91:{2,4,7}:{(70,1),(71,1),(74,1),(110,1),(159,1),(171,1)}
        92:{3,4,6}:{(71,1),(75,1),(109,1),(110,1),(111,1),(115,1),(138,1),(159,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(77,1),(108,1),(112,1),(139,1),(165,1),(172,1)}
        94:{1,3,6}:{(73,1),(75,1),(85,1),(109,1),(112,1),(138,1),(148,1)}
        95:{2,3,6}:{(74,1),(75,1),(81,1),(110,1),(112,1),(138,1),(149,1)}
        96:{3,5,6}:{(75,1),(76,1),(80,1),(111,1),(115,1)}
        97:{1,2,6,7}:{(77,1),(78,1),(79,1),(112,1),(116,1),(148,1),(149,1)}
        98:{1,3,5,7}:{(78,1),(80,1),(87,1),(113,1),(116,1),(117,1),(122,1),(145,1)}
        99:{2,3,5,7}:{(79,1),(80,1),(83,1),(114,1),(116,1),(118,1),(120,1),(145,1)}
       100:{4,7}:{(80,1),(115,1),(159,1)}
       101:{2,5,6}:{(81,1),(82,1),(83,1),(119,1)}
       102:{4,6}:{(82,1),(84,1)}
       103:{2,4,5,7}:{(83,1),(84,1),(118,1),(119,1),(120,1),(141,1)}
       104:{1,5,6}:{(85,1),(86,1),(87,1),(121,1)}
       105:{4,6}:{(86,1),(88,1)}
       106:{1,4,5,7}:{(87,1),(88,1),(117,1),(121,1),(122,1),(140,1)}
       107:{3}:{(89,1)}
       108:{1,2,4,7}:{(89,1),(90,1),(91,1),(93,1),(123,1),(124,1),(173,1)}
       109:{1,4,6}:{(90,1),(92,1),(94,1),(125,1)}
       110:{2,4,6}:{(91,1),(92,1),(95,1),(126,1)}
       111:{3,5}:{(92,1),(125,1),(126,1),(127,1)}
       112:{1,2,6}:{(93,1),(94,1),(95,1)}
       113:{1,3,5,6}:{(94,1),(96,1),(98,1),(104,1),(125,1),(128,1),(129,1),(136,1),(150,1),(152,1),(154,1),(167,1)}
       114:{2,3,5,6}:{(95,1),(96,1),(99,1),(101,1),(126,1),(128,1),(130,1),(134,1),(150,1),(153,1),(154,1),(168,1)}
       115:{4,6}:{(96,1),(100,1),(127,1)}
       116:{1,2,5,7}:{(97,1),(98,1),(99,1),(128,1),(131,1),(135,1),(137,1)}
       117:{1,4,7}:{(98,1),(100,1),(129,1),(132,1)}
       118:{2,4,7}:{(99,1),(100,1),(130,1),(133,1)}
       119:{2,4,6}:{(101,1),(102,1),(103,1),(134,1)}
       120:{3,5,7}:{(103,1),(133,1),(134,1),(135,1),(153,1)}
       121:{1,4,6}:{(104,1),(105,1),(106,1),(136,1)}
       122:{3,5,7}:{(106,1),(132,1),(136,1),(137,1),(152,1)}
       123:{3,7}:{(107,1),(108,1),(138,1),(174,1)}
       124:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(138,1),(139,1),(159,1)}
       125:{1,5}:{(109,1),(111,1)}
       126:{2,5}:{(110,1),(111,1)}
       127:{4,5}:{(111,1),(115,1),(159,1)}
       128:{1,2,5,6}:{(112,1),(113,1),(114,1),(116,1),(139,1),(142,1),(148,1),(149,1),(161,1),(162,1),(172,1)}
       129:{1,4,6}:{(113,1),(115,1),(117,1),(140,1),(143,1),(159,1),(170,1)}
       130:{2,4,6}:{(114,1),(115,1),(118,1),(141,1),(144,1),(159,1),(171,1)}
       131:{1,2,4,7}:{(116,1),(117,1),(118,1),(142,1),(145,1),(146,1),(147,1),(165,1)}
       132:{3,4,7}:{(117,1),(122,1),(143,1),(145,1),(146,1)}
       133:{3,4,7}:{(118,1),(120,1),(144,1),(145,1),(147,1)}
       134:{3,6}:{(119,1),(120,1),(148,1)}
       135:{1,5,7}:{(120,1),(147,1),(148,1),(162,1)}
       136:{3,6}:{(121,1),(122,1),(149,1)}
       137:{2,5,7}:{(122,1),(146,1),(149,1),(161,1)}
       138:{3,6}:{(123,1),(124,1),(150,1)}
       139:{1,2,5}:{(124,1),(125,1),(126,1),(150,1)}
       140:{1,4,5}:{(125,1),(127,1),(129,1),(152,1)}
       141:{2,4,5}:{(126,1),(127,1),(130,1),(153,1)}
       142:{1,2,4,6}:{(128,1),(129,1),(130,1),(131,1),(151,1),(154,1),(155,1),(156,1),(169,1),(173,1)}
       143:{3,4,6}:{(129,1),(132,1),(136,1),(152,1),(154,1),(155,1),(166,1)}
       144:{3,4,6}:{(130,1),(133,1),(134,1),(153,1),(154,1),(156,1),(166,1)}
       145:{3,7}:{(131,1),(154,1)}
       146:{2,4,7}:{(132,1),(137,1),(155,1),(158,1)}
       147:{1,4,7}:{(133,1),(135,1),(156,1),(157,1)}
       148:{1,6}:{(134,1),(135,1)}
       149:{2,6}:{(136,1),(137,1)}
       150:{3,5}:{(138,1),(139,1),(159,1)}
       151:{1,2,4,5}:{(139,1),(140,1),(141,1),(142,1),(159,1),(160,1),(161,1),(162,1),(170,1),(171,1),(172,1)}
       152:{3,5}:{(140,1),(143,1),(161,1)}
       153:{3,5}:{(141,1),(144,1),(162,1)}
       154:{3,6}:{(142,1),(145,1),(160,1),(174,1)}
       155:{2,4,6}:{(143,1),(146,1),(149,1),(161,1),(164,1),(171,1)}
       156:{1,4,6}:{(144,1),(147,1),(148,1),(162,1),(163,1),(170,1)}
       157:{1,3,7}:{(145,1),(147,1),(163,1),(165,1)}
       158:{2,3,7}:{(145,1),(146,1),(164,1),(165,1)}
       159:{4}:{(150,1)}
       160:{3,5}:{(151,1),(154,1),(166,1)}
       161:{2,5}:{(152,1),(155,1)}
       162:{1,5}:{(153,1),(156,1)}
       163:{1,3,6}:{(154,1),(156,1),(157,1),(167,1),(169,1)}
       164:{2,3,6}:{(154,1),(155,1),(158,1),(168,1),(169,1)}
       165:{1,2,7}:{(157,1),(158,1),(169,1)}
       166:{3,4}:{(159,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(160,1),(162,1),(163,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(160,1),(161,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(163,1),(164,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

 524 :   0:{1,3,5,7}:{(3,1),(4,1),(5,1),(21,1),(23,1),(27,1),(58,1)}
         1:{2,3,5,7}:{(3,1),(6,1),(7,1),(8,1),(23,1),(30,1),(58,1)}
         2:{2,4,5,7}:{(6,1),(8,1),(9,1),(30,1),(32,1),(62,1),(64,1)}
         3:{1,2,5,7}:{(0,1),(1,1),(11,1),(12,1),(18,1),(36,1),(42,1)}
         4:{1,4,7}:{(0,1),(13,1),(14,1),(73,1),(101,1)}
         5:{1,3,6}:{(0,1),(12,1),(14,1),(37,1),(41,1),(102,1)}
         6:{2,4,7}:{(1,1),(15,1),(16,1),(73,1),(95,1)}
         7:{2,3,6}:{(1,1),(12,1),(16,1),(19,1),(41,1),(103,1)}
         8:{3,5,7}:{(2,1),(15,1),(18,1),(19,1),(46,1)}
         9:{2,4,6}:{(2,1),(19,1),(20,1),(50,1)}
        10:{1,4,5,7}:{(4,1),(21,1),(22,1),(27,1),(52,1),(60,1),(79,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(6,1),(23,1),(24,1),(25,1),(28,1),(55,1)}
        12:{1,2,6}:{(3,1),(5,1),(7,1),(33,1),(53,1),(104,1)}
        13:{3,4,7}:{(4,1),(21,1),(23,1),(25,1),(26,1),(79,1),(96,1)}
        14:{1,4,6}:{(4,1),(5,1),(26,1),(27,1),(97,1),(100,1)}
        15:{3,4,7}:{(6,1),(8,1),(23,1),(28,1),(29,1),(64,1),(86,1)}
        16:{2,4,6}:{(6,1),(7,1),(29,1),(30,1),(87,1),(99,1)}
        17:{2,4,6,7}:{(9,1),(31,1),(32,1),(64,1)}
        18:{1,5,7}:{(8,1),(28,1),(33,1),(61,1)}
        19:{3,6}:{(8,1),(9,1),(33,1)}
        20:{2,5,6}:{(9,1),(30,1),(32,1),(34,1),(87,1)}
        21:{3,5,7}:{(10,1),(13,1),(36,1),(37,1),(44,1)}
        22:{1,4,6}:{(10,1),(37,1),(38,1),(69,1)}
        23:{3,7}:{(11,1),(41,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(14,1),(16,1),(41,1),(42,1),(43,1),(45,1),(70,1),(73,1),(90,1)}
        25:{2,4,7}:{(13,1),(36,1),(40,1),(43,1)}
        26:{3,4,6}:{(13,1),(14,1),(37,1),(41,1),(43,1),(44,1),(69,1),(73,1),(89,1),(92,1)}
        27:{1,5}:{(14,1),(44,1)}
        28:{1,4,7}:{(15,1),(18,1),(39,1),(45,1)}
        29:{3,4,6}:{(15,1),(16,1),(19,1),(41,1),(45,1),(46,1),(50,1),(73,1),(77,1),(91,1)}
        30:{2,5}:{(16,1),(46,1)}
        31:{3,6,7}:{(17,1),(19,1),(47,1),(48,1)}
        32:{2,5,7}:{(17,1),(20,1),(48,1),(95,1)}
        33:{1,6}:{(18,1),(19,1)}
        34:{3,5,6}:{(19,1),(20,1),(46,1),(48,1),(49,1),(50,1),(77,1)}
        35:{1,4,6,7}:{(22,1),(51,1),(52,1),(79,1)}
        36:{2,5,7}:{(21,1),(25,1),(53,1),(59,1)}
        37:{3,6}:{(21,1),(22,1),(53,1)}
        38:{1,5,6}:{(22,1),(27,1),(52,1),(54,1),(97,1)}
        39:{1,3,7}:{(23,1),(28,1),(55,1),(56,1),(86,1)}
        40:{2,3,7}:{(23,1),(25,1),(55,1),(57,1),(96,1)}
        41:{3,6}:{(23,1),(24,1),(58,1),(98,1)}
        42:{1,2,5}:{(24,1),(27,1),(30,1),(58,1),(59,1),(61,1)}
        43:{2,4,6}:{(25,1),(26,1),(53,1),(57,1),(59,1),(83,1)}
        44:{3,5}:{(26,1),(27,1),(59,1),(60,1)}
        45:{1,4,6}:{(28,1),(29,1),(33,1),(56,1),(61,1),(82,1)}
        46:{3,5}:{(29,1),(30,1),(61,1),(62,1)}
        47:{1,6,7}:{(31,1),(33,1),(63,1)}
        48:{3,5,7}:{(31,1),(32,1),(34,1),(63,1),(64,1),(86,1)}
        49:{1,5,6}:{(33,1),(34,1),(61,1),(63,1),(65,1)}
        50:{4,6}:{(34,1),(62,1),(64,1)}
        51:{3,6,7}:{(35,1),(37,1),(66,1),(67,1)}
        52:{1,5,7}:{(35,1),(38,1),(67,1),(101,1)}
        53:{2,6}:{(36,1),(37,1)}
        54:{3,5,6}:{(37,1),(38,1),(44,1),(67,1),(68,1),(69,1),(89,1)}
        55:{1,2,7}:{(39,1),(40,1),(70,1),(95,1),(101,1)}
        56:{1,3,6}:{(39,1),(41,1),(45,1),(70,1),(71,1),(77,1)}
        57:{2,3,6}:{(40,1),(41,1),(43,1),(70,1),(72,1),(89,1)}
        58:{3,5}:{(41,1),(42,1),(73,1)}
        59:{2,5}:{(43,1),(44,1)}
        60:{4,5}:{(44,1),(69,1),(73,1)}
        61:{1,5}:{(45,1),(46,1)}
        62:{4,5}:{(46,1),(50,1),(73,1)}
        63:{1,5,7}:{(47,1),(48,1),(49,1),(76,1)}
        64:{4,7}:{(48,1),(50,1)}
        65:{1,4,6}:{(49,1),(50,1),(75,1),(76,1),(77,1)}
        66:{2,6,7}:{(51,1),(53,1),(78,1)}
        67:{3,5,7}:{(51,1),(52,1),(54,1),(78,1),(79,1),(96,1)}
        68:{2,5,6}:{(53,1),(54,1),(59,1),(78,1),(80,1)}
        69:{4,6}:{(54,1),(60,1),(79,1)}
        70:{1,2,6}:{(55,1),(56,1),(57,1),(81,1),(87,1),(97,1)}
        71:{1,3,5}:{(56,1),(58,1),(61,1),(81,1),(82,1),(85,1),(98,1)}
        72:{2,3,5}:{(57,1),(58,1),(59,1),(81,1),(83,1),(84,1),(98,1)}
        73:{4}:{(58,1)}
        74:{2,4,5}:{(59,1),(60,1),(80,1),(83,1),(84,1)}
        75:{1,4,5}:{(61,1),(62,1),(65,1),(82,1),(85,1)}
        76:{1,4,7}:{(63,1),(64,1),(65,1),(86,1)}
        77:{3,6}:{(65,1),(85,1),(86,1),(87,1)}
        78:{2,5,7}:{(66,1),(67,1),(68,1),(88,1)}
        79:{4,7}:{(67,1),(69,1)}
        80:{2,4,6}:{(68,1),(69,1),(74,1),(88,1),(89,1)}
        81:{1,2,5}:{(70,1),(71,1),(72,1),(90,1),(93,1),(94,1)}
        82:{1,4}:{(71,1),(73,1),(91,1)}
        83:{2,4}:{(72,1),(73,1),(92,1)}
        84:{3,5}:{(74,1),(89,1),(92,1),(93,1)}
        85:{3,5}:{(75,1),(77,1),(91,1),(94,1)}
        86:{3,7}:{(76,1),(77,1),(95,1)}
        87:{2,6}:{(77,1),(94,1),(95,1)}
        88:{2,4,7}:{(78,1),(79,1),(80,1),(96,1)}
        89:{3,6}:{(80,1),(84,1),(96,1),(97,1)}
        90:{1,2,4}:{(81,1),(82,1),(83,1),(98,1),(99,1),(100,1),(104,1)}
        91:{3,4}:{(82,1),(85,1),(98,1),(99,1)}
        92:{3,4}:{(83,1),(84,1),(98,1),(100,1)}
        93:{1,5}:{(84,1),(97,1),(100,1)}
        94:{2,5}:{(85,1),(87,1),(99,1)}
        95:{2,7}:{(86,1),(87,1)}
        96:{3,7}:{(88,1),(89,1),(101,1)}
        97:{1,6}:{(89,1),(93,1),(101,1)}
        98:{3}:{(90,1)}
        99:{2,4}:{(91,1),(94,1),(103,1)}
       100:{1,4}:{(92,1),(93,1),(102,1)}
       101:{1,7}:{(96,1),(97,1)}
       102:{1,3}:{(98,1),(100,1),(104,1)}
       103:{2,3}:{(98,1),(99,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

 525 :   0:{1,2,4,5,6}:{(1,1),(2,1),(9,1),(10,1),(12,1),(32,1),(73,1),(74,1),(75,1),(76,1),(102,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(51,1),(88,1),(100,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(24,1),(26,1),(62,1),(63,1),(64,1)}
         3:{3,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(40,1),(71,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(12,1),(13,1),(30,1),(40,1),(67,1),(68,1),(74,1),(94,1),(96,1),(103,1)}
         5:{2,3,5,6}:{(1,1),(10,1),(12,1),(14,1),(31,1),(40,1),(65,1),(70,1),(75,1),(92,1),(96,1),(102,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(15,1)}
         7:{1,2,4,6,7}:{(2,1),(15,1),(16,1),(42,1),(43,1),(45,1),(46,1),(73,1)}
         8:{3,4,5}:{(3,1),(17,1),(18,1),(51,1),(100,1)}
         9:{1,4,6}:{(3,1),(4,1),(17,1),(23,1),(84,1),(101,1)}
        10:{2,4,6}:{(3,1),(5,1),(18,1),(24,1),(81,1),(101,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(24,1),(60,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(22,1),(26,1),(47,1),(49,1),(83,1),(86,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(23,1),(26,1),(27,1),(60,1),(62,1),(90,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(24,1),(26,1),(28,1),(60,1),(63,1),(90,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,2,5,6,7}:{(7,1),(29,1),(62,1),(63,1),(89,1)}
        17:{1,4,5}:{(8,1),(9,1),(30,1),(103,1),(104,1)}
        18:{2,4,5}:{(8,1),(10,1),(31,1),(102,1),(104,1)}
        19:{3,4,5,7}:{(8,1),(11,1),(33,1),(34,1),(35,1),(44,1),(72,1),(97,1),(104,1)}
        20:{1,3,4,6}:{(9,1),(30,1),(36,1),(37,1),(40,1),(67,1),(71,1),(95,1)}
        21:{2,3,4,6}:{(10,1),(31,1),(38,1),(39,1),(40,1),(70,1),(71,1),(95,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(12,1),(32,1),(40,1),(41,1)}
        23:{1,4,7}:{(9,1),(11,1),(13,1),(97,1)}
        24:{2,4,7}:{(10,1),(11,1),(14,1),(97,1)}
        25:{3,4,6,7}:{(11,1),(15,1),(35,1),(42,1),(43,1),(44,1),(46,1),(79,1),(95,1),(97,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(14,1),(41,1),(45,1)}
        27:{1,3,6,7}:{(13,1),(15,1),(42,1),(45,1),(67,1),(79,1),(94,1)}
        28:{2,3,6,7}:{(14,1),(15,1),(43,1),(45,1),(70,1),(79,1),(92,1)}
        29:{3,5,6,7}:{(15,1),(16,1),(44,1),(46,1),(96,1)}
        30:{1,3,5}:{(17,1),(20,1),(47,1),(51,1),(100,1)}
        31:{2,3,5}:{(18,1),(21,1),(49,1),(51,1),(100,1)}
        32:{1,2,4,5}:{(17,1),(18,1),(22,1),(47,1),(49,1),(51,1),(81,1),(84,1)}
        33:{1,4,5,7}:{(17,1),(19,1),(23,1),(48,1),(53,1),(62,1)}
        34:{2,4,5,7}:{(18,1),(19,1),(24,1),(50,1),(54,1),(63,1)}
        35:{3,4,6}:{(19,1),(53,1),(54,1),(55,1),(88,1),(101,1)}
        36:{1,2,4,6}:{(20,1),(47,1),(56,1),(57,1),(81,1),(83,1),(98,1)}
        37:{1,3,4,7}:{(20,1),(23,1),(48,1),(57,1),(60,1),(87,1)}
        38:{1,2,4,6}:{(21,1),(49,1),(58,1),(59,1),(84,1),(86,1),(99,1)}
        39:{2,3,4,7}:{(21,1),(24,1),(50,1),(59,1),(60,1),(87,1)}
        40:{3,6}:{(22,1),(51,1),(60,1)}
        41:{1,2,4,7}:{(22,1),(23,1),(24,1),(26,1),(60,1)}
        42:{1,4,6,7}:{(23,1),(25,1),(27,1),(53,1),(62,1),(99,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(28,1),(54,1),(63,1),(98,1)}
        44:{3,5,7}:{(25,1),(55,1),(62,1),(63,1),(64,1),(100,1)}
        45:{1,2,6,7}:{(26,1),(27,1),(28,1),(83,1),(86,1)}
        46:{4,6,7}:{(29,1),(64,1),(101,1)}
        47:{1,2,5}:{(30,1),(36,1),(65,1),(102,1)}
        48:{1,3,5,7}:{(30,1),(33,1),(37,1),(66,1),(67,1),(72,1)}
        49:{1,2,5}:{(31,1),(38,1),(68,1),(103,1)}
        50:{2,3,5,7}:{(31,1),(34,1),(39,1),(69,1),(70,1),(72,1)}
        51:{3,5}:{(32,1),(40,1),(71,1)}
        52:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(41,1),(66,1),(69,1),(72,1),(73,1),(80,1),(91,1),(93,1),(97,1),(102,1),(103,1),(104,1)}
        53:{1,4,6}:{(33,1),(35,1),(67,1),(74,1)}
        54:{2,4,6}:{(34,1),(35,1),(70,1),(75,1)}
        55:{3,5,6}:{(35,1),(44,1),(74,1),(75,1),(76,1)}
        56:{2,3,6}:{(36,1),(40,1),(65,1),(77,1)}
        57:{1,2,4,7}:{(36,1),(37,1),(66,1),(77,1),(91,1)}
        58:{1,3,6}:{(38,1),(40,1),(68,1),(78,1)}
        59:{1,2,4,7}:{(38,1),(39,1),(69,1),(78,1),(93,1)}
        60:{3,7}:{(40,1),(41,1)}
        61:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(45,1),(73,1),(79,1),(80,1),(97,1)}
        62:{1,5,7}:{(42,1),(44,1),(74,1),(103,1)}
        63:{2,5,7}:{(43,1),(44,1),(75,1),(102,1)}
        64:{4,5,7}:{(44,1),(46,1),(76,1),(97,1),(104,1)}
        65:{2,3,5}:{(47,1),(51,1),(56,1),(81,1)}
        66:{1,2,5,7}:{(47,1),(48,1),(57,1),(82,1),(83,1)}
        67:{1,3,6}:{(48,1),(53,1),(83,1),(88,1)}
        68:{1,3,5}:{(49,1),(51,1),(58,1),(84,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(59,1),(85,1),(86,1)}
        70:{2,3,6}:{(50,1),(54,1),(86,1),(88,1)}
        71:{3,4}:{(51,1),(81,1),(84,1)}
        72:{3,5,7}:{(51,1),(52,1),(60,1),(87,1),(88,1),(100,1)}
        73:{1,2,4,6}:{(52,1),(53,1),(54,1),(83,1),(86,1),(88,1),(89,1),(98,1),(99,1),(101,1)}
        74:{1,5,6}:{(53,1),(55,1),(62,1)}
        75:{2,5,6}:{(54,1),(55,1),(63,1)}
        76:{4,5,6}:{(55,1),(64,1),(101,1)}
        77:{2,3,7}:{(56,1),(57,1),(60,1)}
        78:{1,3,7}:{(58,1),(59,1),(60,1)}
        79:{3,6,7}:{(60,1),(61,1),(88,1),(90,1)}
        80:{1,2,5,7}:{(61,1),(62,1),(63,1),(89,1),(90,1)}
        81:{2,4}:{(65,1),(71,1)}
        82:{2,3,5,7}:{(65,1),(66,1),(72,1),(77,1),(91,1),(92,1),(102,1)}
        83:{1,2,6}:{(66,1),(67,1),(92,1)}
        84:{1,4}:{(68,1),(71,1)}
        85:{1,3,5,7}:{(68,1),(69,1),(72,1),(78,1),(93,1),(94,1),(103,1)}
        86:{1,2,6}:{(69,1),(70,1),(94,1)}
        87:{3,4,7}:{(71,1),(72,1),(91,1),(93,1),(95,1),(97,1)}
        88:{3,6}:{(72,1),(73,1)}
        89:{1,2,5,6}:{(73,1),(74,1),(75,1),(80,1),(96,1),(102,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{2,4,7}:{(81,1),(82,1),(87,1),(98,1)}
        92:{2,3,6}:{(82,1),(83,1),(88,1),(98,1)}
        93:{1,4,7}:{(84,1),(85,1),(87,1),(99,1)}
        94:{1,3,6}:{(85,1),(86,1),(88,1),(99,1)}
        95:{3,4,6}:{(87,1),(88,1),(98,1),(99,1),(100,1),(101,1)}
        96:{3,5,6}:{(88,1),(89,1),(90,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{2,4,6}:{(91,1),(92,1),(95,1),(102,1)}
        99:{1,4,6}:{(93,1),(94,1),(95,1),(103,1)}
       100:{3,5}:{(95,1),(102,1),(103,1),(104,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{2,5}:{(98,1),(100,1)}
       103:{1,5}:{(99,1),(100,1)}
       104:{4,5}:{(100,1),(101,1)}

 526 :   0:{1,2,3}:{(3,1)}
         1:{2,3,4}:{(3,1),(4,1),(12,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(7,1),(8,1),(22,1),(25,1),(28,1),(55,1)}
         3:{1,2,4}:{(0,1),(1,1),(5,1),(8,1)}
         4:{2,3,5}:{(1,1),(8,1),(9,1),(10,1),(25,1)}
         5:{1,3,4}:{(3,1),(11,1),(12,1)}
         6:{1,2,4}:{(2,1),(12,1)}
         7:{1,2,3,6}:{(2,1),(14,1),(15,1),(16,1),(41,1),(73,1)}
         8:{1,2,5}:{(3,1),(4,1),(11,1),(16,1)}
         9:{2,4,5}:{(4,1),(17,1),(18,1)}
        10:{2,3,6}:{(4,1),(16,1),(18,1),(19,1),(41,1)}
        11:{1,3,5}:{(5,1),(8,1),(20,1),(21,1),(25,1)}
        12:{3,4}:{(6,1),(25,1)}
        13:{1,2,4,5}:{(6,1),(8,1),(9,1),(20,1),(25,1),(27,1),(28,1),(31,1),(51,1),(55,1),(60,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(26,1),(28,1),(29,1),(63,1)}
        15:{1,2,3,7}:{(7,1),(29,1),(30,1),(59,1),(89,1)}
        16:{1,2,6}:{(8,1),(10,1),(21,1),(30,1)}
        17:{3,4,5}:{(9,1),(25,1),(31,1),(32,1),(60,1)}
        18:{2,4,6}:{(9,1),(10,1),(32,1),(33,1),(34,1)}
        19:{2,3,7}:{(10,1),(30,1),(34,1),(59,1)}
        20:{1,4,5}:{(11,1),(35,1),(36,1)}
        21:{1,3,6}:{(11,1),(16,1),(36,1),(37,1),(41,1)}
        22:{1,2,3}:{(38,1)}
        23:{2,3,4}:{(12,1),(38,1),(39,1)}
        24:{1,3,4}:{(12,1),(38,1),(40,1)}
        25:{3,5}:{(12,1),(13,1),(41,1)}
        26:{3,4,6}:{(12,1),(14,1),(41,1),(42,1),(43,1),(76,1),(79,1)}
        27:{1,2,4,6}:{(13,1),(16,1),(18,1),(36,1),(41,1),(44,1),(45,1),(47,1),(69,1),(73,1),(76,1)}
        28:{1,2,5}:{(14,1),(42,1)}
        29:{1,2,4,7}:{(14,1),(15,1),(43,1),(46,1)}
        30:{1,2,7}:{(16,1),(19,1),(37,1)}
        31:{1,4,5}:{(17,1),(40,1),(47,1)}
        32:{3,4,6}:{(17,1),(18,1),(41,1),(47,1),(48,1),(49,1),(76,1)}
        33:{2,5,6}:{(18,1),(48,1),(50,1)}
        34:{2,4,7}:{(18,1),(19,1),(49,1),(50,1)}
        35:{3,4,5}:{(20,1),(25,1),(51,1),(52,1),(60,1)}
        36:{1,4,6}:{(20,1),(21,1),(52,1),(53,1),(54,1)}
        37:{1,3,7}:{(21,1),(30,1),(54,1),(59,1)}
        38:{1,2,4}:{(22,1),(23,1),(24,1),(55,1)}
        39:{2,3,5}:{(23,1),(25,1),(51,1),(55,1),(56,1)}
        40:{1,3,5}:{(24,1),(25,1),(31,1),(55,1),(57,1)}
        41:{3,6}:{(25,1),(27,1),(59,1)}
        42:{3,5}:{(26,1),(28,1),(60,1)}
        43:{3,4,7}:{(26,1),(29,1),(59,1),(61,1),(90,1)}
        44:{1,2,5,6}:{(27,1),(28,1),(33,1),(53,1),(58,1),(62,1),(63,1),(64,1),(84,1)}
        45:{1,2,4,7}:{(27,1),(30,1),(34,1),(54,1),(59,1),(62,1),(65,1),(85,1),(89,1),(90,1)}
        46:{1,2,5,7}:{(28,1),(29,1),(61,1),(63,1)}
        47:{1,4,6}:{(31,1),(32,1),(57,1),(64,1),(65,1)}
        48:{3,5,6}:{(32,1),(33,1),(64,1),(66,1),(67,1)}
        49:{3,4,7}:{(32,1),(34,1),(59,1),(65,1),(67,1),(90,1)}
        50:{2,5,7}:{(33,1),(34,1),(67,1),(68,1)}
        51:{2,4,5}:{(35,1),(39,1),(69,1)}
        52:{3,4,6}:{(35,1),(36,1),(41,1),(69,1),(70,1),(71,1),(76,1)}
        53:{1,5,6}:{(36,1),(70,1),(72,1)}
        54:{1,4,7}:{(36,1),(37,1),(71,1),(72,1)}
        55:{1,2,5}:{(38,1),(39,1),(40,1),(73,1)}
        56:{2,3,6}:{(39,1),(41,1),(69,1),(73,1),(74,1)}
        57:{1,3,6}:{(40,1),(41,1),(47,1),(73,1),(75,1)}
        58:{3,5,6}:{(41,1),(42,1),(44,1),(76,1),(77,1),(79,1),(99,1)}
        59:{3,7}:{(41,1),(45,1)}
        60:{4,5}:{(42,1),(76,1)}
        61:{3,5,7}:{(42,1),(43,1),(46,1),(78,1),(79,1)}
        62:{1,2,5,7}:{(44,1),(45,1),(50,1),(72,1),(77,1),(80,1),(81,1),(95,1)}
        63:{1,2,6}:{(46,1),(79,1)}
        64:{1,5,6}:{(47,1),(48,1),(81,1)}
        65:{1,4,7}:{(47,1),(49,1),(75,1),(81,1)}
        66:{4,5,6}:{(48,1),(76,1),(82,1),(99,1)}
        67:{3,5,7}:{(48,1),(49,1),(50,1),(81,1),(82,1),(83,1)}
        68:{2,6,7}:{(50,1),(83,1)}
        69:{2,4,6}:{(51,1),(52,1),(56,1),(84,1),(85,1)}
        70:{3,5,6}:{(52,1),(53,1),(84,1),(86,1),(87,1)}
        71:{3,4,7}:{(52,1),(54,1),(59,1),(85,1),(87,1),(90,1)}
        72:{1,5,7}:{(53,1),(54,1),(87,1),(88,1)}
        73:{1,2,6}:{(55,1),(56,1),(57,1),(89,1)}
        74:{2,3,7}:{(56,1),(59,1),(85,1),(89,1)}
        75:{1,3,7}:{(57,1),(59,1),(65,1),(89,1)}
        76:{4,6}:{(58,1),(60,1),(90,1)}
        77:{3,5,7}:{(58,1),(59,1),(62,1),(90,1),(91,1),(103,1)}
        78:{4,5,7}:{(60,1),(61,1),(90,1),(92,1),(103,1)}
        79:{3,6}:{(61,1),(63,1),(92,1)}
        80:{1,2,6,7}:{(62,1),(63,1),(68,1),(88,1),(91,1),(93,1),(101,1)}
        81:{1,5,7}:{(64,1),(65,1),(67,1),(93,1)}
        82:{4,5,7}:{(66,1),(67,1),(90,1),(94,1),(103,1)}
        83:{3,6,7}:{(67,1),(68,1),(93,1),(94,1)}
        84:{2,5,6}:{(69,1),(70,1),(95,1)}
        85:{2,4,7}:{(69,1),(71,1),(74,1),(95,1)}
        86:{4,5,6}:{(70,1),(76,1),(96,1),(99,1)}
        87:{3,5,7}:{(70,1),(71,1),(72,1),(95,1),(96,1),(97,1)}
        88:{1,6,7}:{(72,1),(97,1)}
        89:{1,2,7}:{(73,1),(74,1),(75,1)}
        90:{4,7}:{(76,1),(77,1)}
        91:{3,6,7}:{(77,1),(79,1),(80,1),(98,1)}
        92:{4,6}:{(78,1),(79,1),(99,1)}
        93:{1,6,7}:{(81,1),(83,1)}
        94:{4,6,7}:{(82,1),(83,1),(100,1)}
        95:{2,5,7}:{(84,1),(85,1),(87,1),(101,1)}
        96:{4,5,7}:{(86,1),(87,1),(90,1),(102,1),(103,1)}
        97:{3,6,7}:{(87,1),(88,1),(101,1),(102,1)}
        98:{4,6,7}:{(90,1),(91,1),(92,1),(103,1)}
        99:{5,6}:{(92,1),(103,1)}
       100:{5,6,7}:{(94,1),(103,1)}
       101:{2,6,7}:{(95,1),(97,1)}
       102:{4,6,7}:{(96,1),(97,1),(104,1)}
       103:{5,7}:{(98,1),(99,1)}
       104:{5,6,7}:{(102,1),(103,1)}

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

 528 :   0:{1,4,5,6}:{(3,1),(4,1),(25,1),(32,1),(82,1)}
         1:{1,3,4,6}:{(6,1),(7,1),(8,1),(25,1),(37,1),(74,1),(86,1),(124,1),(137,1)}
         2:{1,5,6,7}:{(9,1),(11,1),(93,1),(97,1)}
         3:{1,4,5,7}:{(0,1),(11,1),(12,1),(44,1),(46,1),(97,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(14,1)}
         5:{3,4,5}:{(10,1),(16,1),(17,1),(60,1)}
         6:{1,3,5}:{(1,1),(16,1),(19,1),(60,1),(148,1),(159,1)}
         7:{1,3,4,7}:{(1,1),(18,1),(20,1),(46,1),(100,1),(113,1),(147,1),(177,1)}
         8:{1,2,4,6}:{(1,1),(19,1),(20,1),(21,1),(61,1),(63,1),(114,1)}
         9:{3,5,6,7}:{(2,1),(22,1),(23,1),(27,1),(67,1),(70,1)}
        10:{3,4,6}:{(4,1),(5,1),(24,1),(25,1),(26,1),(74,1)}
        11:{1,4,6,7}:{(2,1),(3,1),(23,1),(27,1)}
        12:{3,5,7}:{(3,1),(4,1),(24,1),(27,1),(29,1)}
        13:{1,3,5,6}:{(4,1),(6,1),(25,1),(28,1),(30,1),(37,1),(74,1),(82,1),(136,1)}
        14:{2,5,6}:{(4,1),(26,1),(29,1)}
        15:{3,4,5,7}:{(5,1),(24,1),(33,1),(34,1),(35,1),(70,1),(85,1),(115,1),(119,1),(168,1),(176,1)}
        16:{1,4,5}:{(5,1),(6,1),(25,1),(176,1)}
        17:{2,4,5}:{(5,1),(26,1),(31,1)}
        18:{1,3,5,7}:{(6,1),(7,1),(34,1),(37,1),(38,1),(85,1),(160,1),(163,1),(167,1)}
        19:{1,2,5}:{(6,1),(8,1),(39,1),(138,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(38,1),(40,1),(88,1),(191,1)}
        21:{2,3,6}:{(8,1),(39,1),(40,1),(74,1)}
        22:{2,5,6,7}:{(9,1),(42,1),(50,1),(98,1)}
        23:{4,6,7}:{(9,1),(44,1)}
        24:{3,4,7}:{(10,1),(12,1),(46,1),(47,1),(100,1)}
        25:{1,4,6}:{(10,1),(13,1),(16,1),(46,1),(158,1)}
        26:{2,4,6}:{(10,1),(14,1),(17,1),(43,1),(47,1)}
        27:{3,6,7}:{(11,1),(12,1),(50,1)}
        28:{1,3,5,7}:{(12,1),(13,1),(46,1),(49,1),(51,1),(97,1),(100,1),(149,1)}
        29:{2,5,7}:{(12,1),(14,1),(47,1),(50,1)}
        30:{1,2,5,6}:{(13,1),(14,1),(19,1),(48,1),(51,1),(52,1),(61,1),(148,1),(185,1)}
        31:{2,3,5}:{(17,1),(41,1),(43,1),(55,1),(60,1)}
        32:{4,5,6}:{(44,1),(56,1),(158,1)}
        33:{3,4,6}:{(15,1),(56,1),(57,1),(58,1),(112,1),(158,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(18,1),(46,1),(57,1),(97,1),(139,1),(143,1)}
        35:{2,4,5,7}:{(15,1),(17,1),(47,1),(54,1),(58,1),(98,1),(140,1),(144,1)}
        36:{1,2,4,5}:{(16,1),(17,1),(19,1),(48,1),(55,1),(60,1),(63,1),(104,1),(110,1),(148,1)}
        37:{1,3,6}:{(18,1),(57,1),(61,1),(112,1),(185,1)}
        38:{1,2,5,7}:{(18,1),(19,1),(20,1),(61,1),(62,1),(178,1),(181,1)}
        39:{2,3,5}:{(19,1),(21,1),(60,1),(63,1)}
        40:{2,3,7}:{(20,1),(21,1),(100,1),(201,1)}
        41:{2,3,4}:{(31,1),(65,1),(86,1)}
        42:{2,4,6,7}:{(22,1),(23,1),(66,1),(67,1)}
        43:{2,3,6}:{(26,1),(31,1),(68,1),(69,1),(74,1)}
        44:{4,5,7}:{(23,1),(32,1),(70,1),(168,1)}
        45:{3,4,6,7}:{(23,1),(24,1),(27,1),(33,1),(67,1),(70,1),(71,1),(72,1),(119,1),(126,1),(168,1)}
        46:{1,4,7}:{(24,1),(25,1),(28,1),(168,1)}
        47:{2,4,7}:{(24,1),(26,1),(29,1),(68,1)}
        48:{1,2,4,6}:{(25,1),(26,1),(30,1),(36,1),(69,1),(73,1),(74,1),(77,1),(124,1)}
        49:{1,3,6,7}:{(27,1),(28,1),(37,1),(71,1),(75,1),(126,1),(163,1)}
        50:{2,6,7}:{(27,1),(29,1)}
        51:{1,2,5,7}:{(28,1),(29,1),(30,1),(73,1),(75,1),(76,1),(167,1)}
        52:{2,3,5,6}:{(30,1),(39,1),(74,1),(76,1),(77,1),(87,1),(128,1),(136,1),(138,1),(170,1),(171,1)}
        53:{2,4,5,6}:{(32,1),(66,1),(78,1),(83,1),(132,1)}
        54:{2,3,5,7}:{(31,1),(35,1),(64,1),(68,1),(79,1),(80,1),(85,1),(116,1),(207,1)}
        55:{1,2,5}:{(31,1),(65,1),(69,1),(81,1)}
        56:{3,5,6}:{(32,1),(33,1),(70,1),(82,1),(83,1)}
        57:{1,4,6}:{(33,1),(34,1),(37,1),(82,1)}
        58:{2,4,6}:{(33,1),(35,1),(79,1),(83,1)}
        59:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(38,1),(73,1),(80,1),(84,1),(85,1),(88,1),(125,1),(130,1),(135,1),(138,1),(161,1),(164,1),(167,1),(168,1),(175,1),(176,1),(196,1),(207,1)}
        60:{3,5}:{(36,1),(74,1),(86,1)}
        61:{1,2,6}:{(37,1),(38,1),(87,1)}
        62:{2,3,5,7}:{(38,1),(39,1),(40,1),(85,1),(87,1),(88,1),(138,1),(192,1),(194,1),(207,1)}
        63:{2,4}:{(39,1),(86,1)}
        64:{2,3,4,7}:{(41,1),(54,1),(89,1),(90,1),(113,1),(144,1),(182,1),(203,1)}
        65:{1,2,4}:{(41,1),(55,1),(91,1),(110,1)}
        66:{2,4,5,7}:{(42,1),(44,1),(53,1),(92,1),(98,1),(144,1)}
        67:{3,6,7}:{(42,1),(92,1),(93,1)}
        68:{2,3,7}:{(43,1),(47,1),(95,1),(100,1)}
        69:{1,2,6}:{(43,1),(55,1),(95,1),(96,1)}
        70:{3,5,7}:{(44,1),(45,1),(56,1),(97,1),(98,1)}
        71:{1,4,6,7}:{(45,1),(46,1),(49,1),(57,1),(93,1),(97,1),(143,1)}
        72:{2,4,6,7}:{(45,1),(47,1),(50,1),(58,1),(94,1),(98,1),(144,1)}
        73:{1,2,4,7}:{(46,1),(47,1),(48,1),(51,1),(95,1),(100,1),(103,1),(147,1)}
        74:{3,6}:{(48,1),(60,1),(100,1)}
        75:{1,2,6,7}:{(49,1),(50,1),(51,1),(61,1),(102,1),(181,1),(185,1)}
        76:{2,3,5,7}:{(51,1),(52,1),(100,1),(102,1),(103,1),(149,1),(151,1),(152,1)}
        77:{2,4,6}:{(52,1),(63,1),(101,1),(103,1),(104,1),(158,1)}
        78:{3,5,6}:{(53,1),(92,1),(105,1),(106,1)}
        79:{2,3,6}:{(54,1),(58,1),(108,1),(112,1),(209,1)}
        80:{1,2,5,7}:{(54,1),(55,1),(90,1),(95,1),(108,1),(109,1),(141,1)}
        81:{1,3,5}:{(55,1),(60,1),(91,1),(96,1),(110,1),(148,1)}
        82:{1,5,6}:{(56,1),(57,1),(97,1)}
        83:{2,5,6}:{(56,1),(58,1),(98,1)}
        84:{1,2,4,6}:{(57,1),(58,1),(59,1),(61,1),(108,1),(111,1),(112,1),(114,1),(153,1),(157,1),(158,1),(185,1),(205,1),(209,1)}
        85:{3,5,7}:{(59,1),(60,1),(100,1),(112,1),(113,1),(159,1),(179,1),(182,1)}
        86:{3,4}:{(60,1),(63,1),(110,1)}
        87:{2,3,6}:{(61,1),(62,1),(112,1),(114,1),(209,1)}
        88:{2,4,7}:{(62,1),(63,1),(113,1),(114,1),(202,1)}
        89:{2,3,4,6}:{(64,1),(79,1),(116,1),(117,1),(132,1),(137,1),(173,1),(193,1),(199,1)}
        90:{1,2,4,7}:{(64,1),(65,1),(80,1),(117,1),(118,1),(135,1)}
        91:{1,3}:{(65,1)}
        92:{3,5,7}:{(66,1),(67,1),(78,1),(119,1),(120,1)}
        93:{1,6,7}:{(67,1),(120,1)}
        94:{2,3,6,7}:{(67,1),(68,1),(72,1),(79,1),(121,1),(122,1),(126,1)}
        95:{1,2,7}:{(68,1),(69,1),(123,1)}
        96:{1,3,6}:{(69,1),(74,1),(81,1),(123,1),(124,1)}
        97:{1,5,7}:{(70,1),(71,1),(82,1)}
        98:{2,5,7}:{(70,1),(72,1),(83,1)}
        99:{1,2,4,6,7}:{(71,1),(72,1),(73,1),(75,1),(84,1),(122,1),(125,1),(126,1),(129,1),(164,1),(166,1),(168,1)}
       100:{3,7}:{(73,1),(74,1)}
       101:{3,4,6}:{(74,1),(77,1),(86,1),(124,1),(127,1),(128,1),(170,1)}
       102:{2,3,6,7}:{(75,1),(76,1),(87,1),(126,1),(129,1),(170,1),(194,1)}
       103:{2,4,7}:{(76,1),(77,1),(127,1),(168,1)}
       104:{2,4,5}:{(77,1),(128,1),(138,1),(176,1)}
       105:{3,4,6}:{(78,1),(115,1),(119,1),(131,1),(132,1),(173,1)}
       106:{1,5,6}:{(78,1),(120,1),(131,1)}
       107:{2,3,5,6}:{(78,1),(79,1),(83,1),(116,1),(121,1),(132,1),(133,1),(136,1),(173,1)}
       108:{1,2,6}:{(79,1),(80,1),(134,1)}
       109:{1,3,5,7}:{(80,1),(81,1),(85,1),(118,1),(123,1),(134,1),(135,1),(162,1),(167,1),(175,1)}
       110:{1,4}:{(81,1),(86,1)}
       111:{1,2,5,6}:{(82,1),(83,1),(84,1),(125,1),(136,1),(138,1),(171,1),(175,1),(197,1)}
       112:{3,6}:{(84,1),(85,1)}
       113:{3,4,7}:{(85,1),(86,1),(88,1),(135,1),(137,1),(168,1),(193,1)}
       114:{2,4,6}:{(87,1),(88,1),(137,1),(138,1)}
       115:{3,4,5}:{(105,1),(139,1),(140,1),(179,1)}
       116:{2,3,5}:{(89,1),(140,1),(141,1),(159,1),(179,1),(206,1)}
       117:{1,2,4,6}:{(89,1),(90,1),(108,1),(141,1),(142,1),(157,1),(180,1)}
       118:{1,3,7}:{(90,1),(91,1),(142,1),(182,1)}
       119:{3,4,7}:{(92,1),(105,1),(143,1),(144,1),(182,1)}
       120:{1,5,7}:{(92,1),(93,1),(106,1),(143,1)}
       121:{2,3,5,7}:{(92,1),(94,1),(98,1),(107,1),(144,1),(145,1),(149,1),(182,1)}
       122:{1,2,6,7}:{(93,1),(94,1),(95,1),(108,1),(145,1),(146,1),(209,1)}
       123:{1,3,7}:{(95,1),(96,1),(100,1),(147,1)}
       124:{1,4,6}:{(96,1),(101,1),(110,1),(147,1),(148,1),(185,1)}
       125:{1,2,5,7}:{(97,1),(98,1),(99,1),(111,1),(149,1),(152,1),(184,1)}
       126:{3,6,7}:{(99,1),(100,1),(112,1),(149,1),(182,1)}
       127:{3,4,7}:{(100,1),(101,1),(103,1),(147,1),(151,1)}
       128:{3,5}:{(101,1),(104,1),(148,1)}
       129:{2,4,6,7}:{(102,1),(103,1),(114,1),(150,1),(152,1),(153,1),(203,1),(209,1)}
       130:{2,4,5,7}:{(103,1),(104,1),(151,1),(152,1),(153,1),(186,1)}
       131:{1,4,6}:{(105,1),(106,1),(139,1),(143,1),(154,1)}
       132:{2,4,6}:{(105,1),(107,1),(140,1),(144,1),(158,1)}
       133:{1,2,5,6}:{(106,1),(107,1),(108,1),(141,1),(145,1),(155,1),(156,1),(206,1),(209,1)}
       134:{1,3,6}:{(108,1),(109,1),(112,1),(157,1),(185,1)}
       135:{1,4,7}:{(109,1),(110,1),(113,1),(157,1),(180,1)}
       136:{3,5,6}:{(111,1),(112,1),(149,1),(158,1),(159,1)}
       137:{3,4,6}:{(112,1),(113,1),(114,1),(157,1),(158,1),(159,1)}
       138:{2,5}:{(114,1),(159,1)}
       139:{1,4,5}:{(115,1),(131,1),(160,1)}
       140:{2,4,5}:{(115,1),(116,1),(132,1),(176,1)}
       141:{1,2,5}:{(116,1),(117,1),(162,1),(175,1)}
       142:{1,3,6}:{(117,1),(118,1),(162,1),(173,1)}
       143:{1,4,7}:{(119,1),(120,1),(131,1),(163,1)}
       144:{2,4,7}:{(119,1),(121,1),(132,1),(168,1)}
       145:{1,2,5,7}:{(120,1),(121,1),(122,1),(133,1),(164,1),(165,1),(207,1)}
       146:{1,3,6,7}:{(122,1),(123,1),(126,1),(134,1),(165,1),(166,1),(208,1)}
       147:{1,4,7}:{(123,1),(124,1),(127,1),(167,1)}
       148:{1,5}:{(124,1),(128,1)}
       149:{3,5,7}:{(125,1),(126,1),(136,1),(168,1)}
       150:{3,4,6,7}:{(126,1),(127,1),(129,1),(137,1),(166,1),(168,1),(169,1),(170,1),(195,1),(198,1),(208,1)}
       151:{3,5,7}:{(127,1),(128,1),(130,1),(167,1),(170,1)}
       152:{2,5,7}:{(129,1),(138,1),(169,1),(171,1)}
       153:{2,4,6}:{(130,1),(170,1),(171,1),(198,1)}
       154:{1,3,6}:{(131,1),(160,1),(163,1),(172,1),(173,1)}
       155:{1,2,4,6}:{(131,1),(132,1),(133,1),(161,1),(164,1),(172,1),(173,1),(174,1),(199,1)}
       156:{1,3,5,6}:{(133,1),(134,1),(136,1),(162,1),(165,1),(173,1),(174,1),(175,1),(197,1),(200,1),(208,1)}
       157:{1,4,6}:{(134,1),(135,1),(137,1),(175,1)}
       158:{4,6}:{(136,1),(168,1),(176,1)}
       159:{3,5}:{(137,1),(138,1),(175,1),(176,1)}
       160:{1,3,5}:{(139,1),(154,1),(177,1),(178,1),(179,1)}
       161:{1,2,4,5}:{(139,1),(140,1),(141,1),(155,1),(178,1),(179,1),(180,1),(190,1),(202,1),(206,1)}
       162:{1,3,5}:{(141,1),(142,1),(179,1),(180,1)}
       163:{1,3,7}:{(143,1),(154,1),(181,1),(182,1)}
       164:{1,2,4,7}:{(143,1),(144,1),(145,1),(155,1),(181,1),(182,1),(183,1),(203,1)}
       165:{1,3,5,7}:{(145,1),(146,1),(149,1),(156,1),(182,1),(183,1),(184,1),(204,1)}
       166:{1,4,6,7}:{(146,1),(147,1),(150,1),(157,1),(183,1),(184,1),(185,1),(205,1)}
       167:{1,5,7}:{(147,1),(148,1),(151,1),(185,1)}
       168:{4,7}:{(149,1),(158,1)}
       169:{3,5,7}:{(150,1),(152,1),(159,1),(184,1),(186,1),(187,1)}
       170:{3,6}:{(151,1),(153,1),(185,1)}
       171:{2,5,6}:{(152,1),(153,1),(187,1),(209,1)}
       172:{1,2,6}:{(154,1),(178,1),(181,1),(188,1)}
       173:{3,6}:{(155,1),(179,1),(182,1)}
       174:{1,4,6}:{(156,1),(158,1),(180,1),(183,1),(189,1),(190,1)}
       175:{1,5}:{(157,1),(159,1)}
       176:{4,5}:{(158,1),(159,1)}
       177:{1,3,4}:{(160,1),(191,1),(193,1)}
       178:{1,2,5}:{(160,1),(172,1),(191,1),(192,1)}
       179:{3,5}:{(161,1),(173,1),(193,1)}
       180:{1,4}:{(162,1),(193,1)}
       181:{1,2,7}:{(163,1),(172,1),(194,1)}
       182:{3,7}:{(164,1),(173,1)}
       183:{1,4,7}:{(165,1),(168,1),(174,1),(195,1)}
       184:{1,5,7}:{(166,1),(169,1),(175,1),(197,1)}
       185:{1,6}:{(167,1),(170,1)}
       186:{4,5,7}:{(168,1),(169,1),(176,1),(198,1)}
       187:{3,5,6}:{(169,1),(170,1),(171,1),(197,1),(198,1),(208,1)}
       188:{2,3,6}:{(172,1),(173,1),(192,1),(194,1),(199,1)}
       189:{3,4,6}:{(173,1),(174,1),(193,1),(195,1),(199,1),(200,1),(208,1)}
       190:{1,4,5}:{(174,1),(175,1),(176,1),(200,1)}
       191:{1,2,4}:{(177,1),(178,1),(201,1),(202,1)}
       192:{2,3,5}:{(178,1),(179,1),(188,1),(201,1),(202,1),(206,1)}
       193:{3,4}:{(179,1),(180,1),(202,1)}
       194:{2,3,7}:{(181,1),(182,1),(188,1),(203,1)}
       195:{3,4,7}:{(182,1),(183,1),(189,1),(203,1),(204,1)}
       196:{1,4,5,7}:{(183,1),(184,1),(186,1),(190,1),(204,1),(205,1)}
       197:{1,5,6}:{(184,1),(185,1),(187,1),(205,1)}
       198:{4,6}:{(186,1),(187,1)}
       199:{2,4,6}:{(188,1),(189,1),(202,1),(203,1),(206,1),(209,1)}
       200:{3,5}:{(189,1),(190,1),(206,1)}
       201:{2,3}:{(191,1)}
       202:{2,4}:{(192,1),(193,1)}
       203:{2,4,7}:{(194,1),(195,1),(199,1),(207,1)}
       204:{3,5,7}:{(195,1),(196,1),(200,1),(207,1),(208,1)}
       205:{1,4,6}:{(196,1),(197,1),(198,1),(208,1)}
       206:{2,5}:{(199,1),(200,1)}
       207:{2,5,7}:{(203,1),(204,1),(206,1),(209,1)}
       208:{3,6}:{(204,1),(205,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

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

 530 :   0:{1,3,4,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1),(51,1),(55,1),(83,1),(90,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(69,1),(100,1),(104,1)}
         2:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(37,1),(71,1),(101,1)}
         3:{2,3,6,7}:{(1,1),(8,1),(29,1),(113,1),(117,1)}
         4:{1,2,5,7}:{(1,1),(2,1),(8,1),(9,1),(53,1),(114,1)}
         5:{1,3,5,6}:{(2,1),(9,1),(11,1),(29,1),(32,1)}
         6:{1,4,5,7}:{(2,1),(11,1),(12,1),(83,1),(86,1)}
         7:{1,3,5,6,7}:{(5,1),(13,1),(14,1),(36,1),(37,1),(67,1),(120,1)}
         8:{2,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(18,1),(125,1)}
         9:{1,2,5,6}:{(4,1),(5,1),(15,1),(17,1),(47,1),(71,1)}
        10:{1,2,4,5,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(21,1),(39,1),(41,1),(46,1),(71,1),(100,1),(102,1)}
        11:{1,4,6}:{(5,1),(6,1),(20,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(66,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(9,1),(22,1),(23,1),(53,1),(80,1),(85,1),(108,1)}
        14:{1,4,6,7}:{(7,1),(11,1),(24,1),(25,1),(83,1),(129,1)}
        15:{2,3,5,6}:{(8,1),(9,1),(26,1),(29,1),(54,1)}
        16:{2,4,7}:{(8,1),(26,1),(27,1),(132,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(11,1),(26,1),(29,1),(33,1),(55,1),(61,1)}
        18:{3,5,7}:{(10,1),(27,1),(29,1),(54,1),(113,1),(115,1)}
        19:{1,4,5,6}:{(11,1),(24,1),(32,1)}
        20:{3,4,6}:{(11,1),(12,1),(29,1),(32,1),(33,1)}
        21:{2,4,5,7}:{(12,1),(31,1),(33,1),(53,1),(84,1),(87,1)}
        22:{2,3,5,6,7}:{(13,1),(15,1),(34,1),(36,1),(63,1),(68,1),(94,1)}
        23:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(38,1),(64,1),(69,1),(100,1),(119,1)}
        24:{1,4,5,7}:{(14,1),(19,1),(37,1),(135,1)}
        25:{3,4,6,7}:{(14,1),(20,1),(36,1),(37,1),(38,1),(66,1),(134,1)}
        26:{2,4,6}:{(15,1),(16,1),(39,1),(40,1)}
        27:{3,4,7}:{(16,1),(18,1),(40,1),(41,1),(126,1)}
        28:{1,2,4,5,6}:{(17,1),(19,1),(35,1),(39,1),(43,1),(47,1),(62,1),(71,1),(75,1),(76,1),(77,1),(93,1),(102,1),(119,1),(135,1),(139,1)}
        29:{3,6}:{(17,1),(18,1)}
        30:{1,3,5,7}:{(18,1),(41,1),(44,1),(46,1),(71,1),(74,1),(103,1)}
        31:{2,3,5,7}:{(18,1),(21,1),(42,1),(45,1),(46,1),(72,1)}
        32:{3,5,6}:{(19,1),(20,1),(37,1),(47,1)}
        33:{2,4,6}:{(20,1),(21,1),(45,1),(47,1)}
        34:{2,4,6,7}:{(22,1),(26,1),(48,1),(49,1),(84,1),(107,1)}
        35:{1,2,4,5,7}:{(23,1),(24,1),(28,1),(48,1),(50,1),(53,1),(80,1),(83,1),(84,1),(85,1)}
        36:{3,6,7}:{(23,1),(29,1),(50,1),(113,1),(128,1)}
        37:{3,5,7}:{(24,1),(25,1),(32,1),(53,1),(138,1)}
        38:{2,4,6,7}:{(25,1),(33,1),(52,1),(53,1),(84,1),(137,1)}
        39:{2,4,5}:{(26,1),(54,1)}
        40:{3,4,6}:{(26,1),(27,1),(29,1),(54,1),(55,1)}
        41:{1,4,7}:{(27,1),(30,1),(55,1),(116,1)}
        42:{2,3,4,7}:{(27,1),(31,1),(56,1),(57,1),(84,1),(113,1)}
        43:{3,5,6}:{(28,1),(29,1),(50,1),(54,1),(58,1),(115,1),(128,1),(138,1)}
        44:{1,3,6}:{(29,1),(30,1),(55,1),(61,1)}
        45:{2,3,6}:{(29,1),(31,1),(33,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(57,1),(61,1),(88,1)}
        47:{2,5,6}:{(32,1),(33,1),(53,1)}
        48:{2,4,5,7}:{(34,1),(39,1),(62,1),(63,1)}
        49:{3,4,6,7}:{(34,1),(36,1),(40,1),(63,1),(64,1),(66,1),(92,1)}
        50:{3,5,7}:{(35,1),(36,1),(43,1),(66,1)}
        51:{1,3,6,7}:{(36,1),(44,1),(64,1),(67,1),(69,1),(118,1)}
        52:{2,3,6,7}:{(36,1),(38,1),(45,1),(68,1),(69,1),(133,1)}
        53:{2,5,7}:{(37,1),(38,1),(47,1),(139,1)}
        54:{3,5}:{(39,1),(40,1),(71,1)}
        55:{1,4,6}:{(40,1),(41,1),(44,1),(71,1)}
        56:{2,3,4,6}:{(40,1),(42,1),(45,1),(72,1),(73,1),(76,1),(105,1),(126,1)}
        57:{1,2,4,7}:{(41,1),(42,1),(46,1),(73,1),(74,1)}
        58:{3,4,6}:{(43,1),(66,1),(70,1),(75,1),(76,1),(105,1),(126,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(67,1),(71,1),(75,1),(77,1),(93,1),(101,1),(103,1),(105,1),(118,1)}
        60:{2,3,5,6}:{(43,1),(45,1),(47,1),(68,1),(72,1),(76,1),(77,1),(105,1),(125,1),(133,1),(139,1)}
        61:{1,2,6}:{(44,1),(45,1),(46,1)}
        62:{2,4,5,6}:{(48,1),(78,1),(107,1)}
        63:{3,5,7}:{(48,1),(49,1),(54,1),(78,1),(80,1)}
        64:{1,4,6,7}:{(49,1),(51,1),(55,1),(80,1),(83,1),(106,1)}
        65:{2,3,4,6,7}:{(49,1),(52,1),(56,1),(81,1),(82,1),(84,1),(107,1),(113,1),(128,1),(131,1),(137,1)}
        66:{3,4,7}:{(50,1),(58,1),(83,1),(84,1),(113,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(59,1),(80,1),(83,1),(85,1),(113,1)}
        68:{2,3,5,7}:{(50,1),(52,1),(53,1),(60,1),(84,1),(85,1),(113,1)}
        69:{1,2,6,7}:{(51,1),(52,1),(61,1),(85,1),(127,1)}
        70:{3,4,5}:{(54,1),(58,1),(86,1),(87,1),(115,1),(138,1)}
        71:{1,5}:{(54,1),(55,1)}
        72:{2,3,5}:{(54,1),(56,1),(87,1),(88,1),(115,1)}
        73:{1,2,4,6}:{(55,1),(56,1),(57,1),(61,1),(88,1),(89,1),(116,1)}
        74:{1,3,7}:{(57,1),(89,1),(113,1)}
        75:{1,4,6}:{(58,1),(59,1),(83,1),(86,1),(116,1)}
        76:{2,4,6}:{(58,1),(60,1),(84,1),(87,1),(132,1)}
        77:{1,2,5,6}:{(59,1),(60,1),(61,1),(85,1),(88,1),(91,1),(114,1),(127,1)}
        78:{3,5,6}:{(62,1),(63,1),(92,1),(93,1)}
        79:{3,4,5,7}:{(63,1),(66,1),(70,1),(92,1),(95,1),(96,1),(122,1)}
        80:{1,5,7}:{(63,1),(64,1),(71,1),(93,1)}
        81:{2,3,5,7}:{(63,1),(65,1),(72,1),(94,1),(96,1),(97,1),(122,1),(139,1)}
        82:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(73,1),(97,1),(98,1),(100,1),(119,1),(123,1)}
        83:{1,4,7}:{(66,1),(67,1),(75,1)}
        84:{2,4,7}:{(66,1),(68,1),(76,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(77,1),(100,1)}
        86:{1,4,5}:{(70,1),(71,1),(75,1),(101,1)}
        87:{2,4,5}:{(70,1),(72,1),(76,1),(139,1)}
        88:{1,2,5}:{(71,1),(72,1),(73,1),(103,1)}
        89:{1,3,6}:{(73,1),(74,1),(103,1),(105,1)}
        90:{1,3,4,6}:{(75,1),(99,1),(101,1),(104,1),(105,1),(118,1),(126,1),(134,1)}
        91:{1,2,4,6}:{(75,1),(76,1),(77,1),(100,1),(102,1),(105,1)}
        92:{3,4,6}:{(78,1),(79,1),(106,1),(107,1),(128,1)}
        93:{1,5,6}:{(78,1),(80,1),(106,1)}
        94:{2,3,5,6}:{(78,1),(81,1),(107,1),(108,1),(128,1)}
        95:{1,4,5,7}:{(79,1),(80,1),(83,1),(86,1),(106,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(81,1),(84,1),(87,1),(107,1)}
        97:{1,2,5,7}:{(80,1),(81,1),(82,1),(88,1),(108,1),(111,1)}
        98:{1,3,6,7}:{(82,1),(89,1),(111,1),(113,1),(128,1)}
        99:{1,3,4,7}:{(83,1),(90,1),(109,1),(112,1),(113,1),(131,1)}
       100:{1,2,4,7}:{(83,1),(84,1),(85,1),(91,1),(113,1)}
       101:{1,3,5}:{(86,1),(90,1),(114,1),(115,1),(138,1)}
       102:{1,2,4,5}:{(86,1),(87,1),(88,1),(91,1),(114,1),(115,1),(116,1),(132,1)}
       103:{1,3,5}:{(88,1),(89,1),(115,1),(116,1)}
       104:{1,2,4,6}:{(90,1),(112,1),(114,1),(117,1),(127,1),(132,1),(137,1)}
       105:{3,6}:{(91,1),(113,1),(115,1)}
       106:{1,4,6}:{(92,1),(93,1),(95,1),(118,1)}
       107:{2,4,6}:{(92,1),(94,1),(96,1)}
       108:{1,2,5,6}:{(93,1),(94,1),(97,1),(119,1),(120,1),(139,1)}
       109:{1,3,5,7}:{(95,1),(99,1),(101,1),(118,1),(121,1),(122,1)}
       110:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(100,1),(102,1),(119,1),(121,1),(122,1),(123,1),(135,1),(136,1),(139,1)}
       111:{1,3,5,7}:{(97,1),(98,1),(103,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,7}:{(99,1),(104,1),(121,1),(124,1),(136,1)}
       113:{3,7}:{(100,1),(105,1)}
       114:{1,2,5}:{(101,1),(104,1),(125,1),(139,1)}
       115:{3,5}:{(102,1),(105,1),(126,1)}
       116:{1,4}:{(103,1),(126,1)}
       117:{2,3,6}:{(104,1),(105,1),(124,1),(125,1)}
       118:{1,3,6}:{(106,1),(109,1),(127,1),(128,1)}
       119:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(127,1),(128,1),(129,1),(137,1)}
       120:{1,3,5,6}:{(108,1),(111,1),(128,1),(129,1),(138,1)}
       121:{1,2,5,7}:{(109,1),(112,1),(114,1),(127,1),(130,1)}
       122:{3,5,7}:{(110,1),(113,1),(115,1),(128,1),(131,1),(138,1)}
       123:{1,4,7}:{(111,1),(116,1),(129,1),(131,1)}
       124:{2,3,7}:{(112,1),(113,1),(117,1)}
       125:{2,3,5}:{(114,1),(115,1),(117,1),(132,1)}
       126:{3,4}:{(115,1),(116,1),(132,1)}
       127:{1,2,6}:{(118,1),(121,1),(133,1)}
       128:{3,6}:{(119,1),(122,1)}
       129:{1,4,6}:{(120,1),(123,1),(134,1),(135,1)}
       130:{2,3,5,7}:{(121,1),(122,1),(124,1),(125,1),(133,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(126,1),(134,1),(136,1)}
       132:{2,4}:{(125,1),(126,1)}
       133:{2,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{3,4,6}:{(128,1),(129,1),(131,1),(137,1),(138,1)}
       135:{1,4,5}:{(129,1),(138,1)}
       136:{2,4,7}:{(130,1),(131,1),(132,1),(137,1)}
       137:{2,4,6}:{(133,1),(134,1),(136,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

 531 :   0:{2,3,6,7}:{(2,1),(4,1),(5,1),(20,1),(76,1),(119,1),(146,1)}
         1:{2,3,5,6}:{(3,1),(5,1),(6,1),(24,1),(27,1),(29,1),(63,1),(69,1),(76,1),(119,1),(152,1),(168,1)}
         2:{1,2,6,7}:{(0,1),(7,1),(10,1),(101,1),(125,1),(139,1),(159,1)}
         3:{1,2,5,6}:{(1,1),(8,1),(10,1),(11,1),(51,1),(83,1),(97,1),(101,1),(125,1),(139,1),(162,1)}
         4:{2,4,6,7}:{(0,1),(12,1),(13,1),(15,1),(49,1),(130,1),(136,1),(140,1)}
         5:{2,3,5,7}:{(0,1),(1,1),(10,1),(13,1),(15,1),(39,1),(43,1),(50,1)}
         6:{2,4,6}:{(1,1),(14,1),(15,1),(16,1),(90,1),(93,1),(172,1)}
         7:{1,3,6,7}:{(2,1),(17,1),(18,1),(20,1),(105,1),(118,1),(145,1)}
         8:{1,3,5,6}:{(3,1),(18,1),(19,1),(24,1),(55,1),(57,1),(63,1),(68,1),(105,1),(118,1),(151,1),(168,1)}
         9:{1,2,4,6,7}:{(2,1),(4,1),(17,1),(20,1),(21,1),(23,1),(25,1),(53,1),(60,1),(64,1),(66,1),(108,1),(153,1)}
        10:{1,2,5,7}:{(2,1),(3,1),(5,1),(18,1),(23,1),(77,1),(106,1)}
        11:{1,2,4,6}:{(3,1),(6,1),(19,1),(22,1),(23,1),(24,1),(31,1),(59,1),(72,1),(117,1)}
        12:{3,4,6,7}:{(4,1),(20,1),(25,1),(26,1),(30,1),(64,1),(75,1),(76,1),(110,1),(114,1),(121,1)}
        13:{2,5,7}:{(4,1),(26,1),(27,1),(152,1)}
        14:{2,4,5}:{(6,1),(29,1),(113,1),(152,1)}
        15:{2,4,7}:{(5,1),(6,1),(30,1),(64,1)}
        16:{3,4,6}:{(6,1),(24,1),(29,1),(30,1),(31,1),(65,1),(76,1)}
        17:{1,4,6,7}:{(7,1),(32,1),(33,1),(35,1),(81,1),(133,1),(135,1),(155,1)}
        18:{1,3,5,7}:{(7,1),(8,1),(10,1),(33,1),(35,1),(39,1),(43,1),(82,1)}
        19:{1,4,6}:{(8,1),(34,1),(35,1),(36,1),(90,1),(92,1),(172,1)}
        20:{3,6,7}:{(9,1),(39,1),(43,1),(94,1),(127,1),(163,1)}
        21:{1,2,5,7}:{(9,1),(13,1),(33,1),(39,1),(40,1),(46,1),(78,1),(162,1)}
        22:{1,2,4,5}:{(11,1),(14,1),(34,1),(42,1),(51,1),(83,1),(92,1),(93,1),(97,1),(162,1),(172,1)}
        23:{1,2,4,7}:{(10,1),(11,1),(15,1),(35,1),(43,1),(52,1),(84,1),(98,1)}
        24:{3,6}:{(11,1),(42,1),(43,1),(138,1)}
        25:{1,4,6,7}:{(12,1),(37,1),(46,1),(52,1),(87,1),(99,1),(101,1),(135,1)}
        26:{3,5,7}:{(12,1),(13,1),(46,1),(47,1),(48,1),(134,1)}
        27:{2,5,6}:{(13,1),(47,1),(49,1),(140,1)}
        28:{2,4,5,7}:{(13,1),(14,1),(15,1),(48,1),(49,1),(50,1)}
        29:{3,5}:{(14,1),(16,1),(51,1)}
        30:{3,4,7}:{(15,1),(16,1),(43,1),(50,1),(52,1)}
        31:{1,4,6}:{(16,1),(44,1),(51,1),(52,1),(92,1),(101,1)}
        32:{3,4,6,7}:{(17,1),(20,1),(53,1),(54,1),(58,1),(64,1),(104,1),(105,1),(112,1),(114,1),(141,1)}
        33:{1,5,7}:{(17,1),(54,1),(55,1),(151,1)}
        34:{1,4,5}:{(19,1),(57,1),(113,1),(151,1)}
        35:{1,4,7}:{(18,1),(19,1),(58,1),(64,1)}
        36:{3,4,6}:{(19,1),(24,1),(57,1),(58,1),(59,1),(65,1),(105,1)}
        37:{1,3,6,7}:{(20,1),(25,1),(60,1),(61,1),(70,1),(118,1),(121,1)}
        38:{2,3,6,7}:{(20,1),(53,1),(60,1),(62,1),(71,1),(119,1),(141,1)}
        39:{3,5,7}:{(20,1),(21,1),(63,1),(64,1),(168,1)}
        40:{1,2,5,6}:{(21,1),(27,1),(55,1),(63,1),(66,1),(73,1),(102,1),(151,1),(152,1)}
        41:{1,2,4,5,7}:{(21,1),(22,1),(23,1),(28,1),(56,1),(64,1),(66,1),(67,1),(74,1),(77,1),(103,1),(106,1),(108,1),(113,1),(115,1),(116,1),(120,1),(122,1),(142,1),(143,1),(151,1),(152,1)}
        42:{3,5}:{(22,1),(24,1),(65,1)}
        43:{3,7}:{(23,1),(24,1)}
        44:{1,3,6}:{(24,1),(31,1),(68,1),(70,1),(72,1)}
        45:{2,3,6}:{(24,1),(59,1),(69,1),(71,1),(72,1)}
        46:{1,5,7}:{(25,1),(26,1),(73,1),(151,1)}
        47:{3,5,6}:{(26,1),(27,1),(73,1),(75,1),(76,1),(121,1)}
        48:{4,5,7}:{(26,1),(64,1),(75,1),(113,1)}
        49:{2,4,6}:{(27,1),(28,1),(75,1),(76,1)}
        50:{3,5,7}:{(28,1),(29,1),(30,1),(76,1),(77,1)}
        51:{1,5}:{(29,1),(31,1)}
        52:{1,4,7}:{(30,1),(31,1),(70,1),(77,1)}
        53:{2,4,6,7}:{(32,1),(38,1),(78,1),(84,1),(89,1),(123,1),(125,1),(136,1)}
        54:{3,5,7}:{(32,1),(33,1),(78,1),(79,1),(80,1),(134,1)}
        55:{1,5,6}:{(33,1),(79,1),(81,1),(155,1)}
        56:{1,4,5,7}:{(33,1),(34,1),(35,1),(80,1),(81,1),(82,1)}
        57:{3,5}:{(34,1),(36,1),(83,1)}
        58:{3,4,7}:{(35,1),(36,1),(43,1),(82,1),(84,1)}
        59:{2,4,6}:{(36,1),(45,1),(83,1),(84,1),(93,1),(125,1)}
        60:{1,2,6,7}:{(37,1),(38,1),(85,1),(98,1),(139,1),(140,1),(155,1)}
        61:{1,3,5,7}:{(37,1),(39,1),(46,1),(85,1),(86,1),(87,1),(100,1),(127,1)}
        62:{2,3,5,7}:{(38,1),(39,1),(78,1),(85,1),(88,1),(89,1),(124,1),(127,1)}
        63:{3,5,6}:{(39,1),(40,1),(90,1),(94,1),(134,1)}
        64:{4,7}:{(39,1),(90,1),(172,1)}
        65:{3,4}:{(42,1),(92,1),(93,1),(138,1),(172,1)}
        66:{1,2,4,6}:{(40,1),(41,1),(49,1),(81,1),(90,1),(94,1),(99,1),(101,1),(123,1),(125,1),(135,1),(136,1),(139,1),(140,1),(155,1)}
        67:{3,5,7}:{(41,1),(42,1),(43,1),(91,1),(94,1),(127,1),(134,1),(156,1)}
        68:{1,3,5}:{(42,1),(44,1),(51,1),(92,1),(97,1),(138,1)}
        69:{2,3,5}:{(42,1),(45,1),(83,1),(93,1),(97,1),(138,1)}
        70:{1,3,7}:{(43,1),(44,1),(52,1),(98,1)}
        71:{2,3,7}:{(43,1),(45,1),(84,1),(98,1)}
        72:{1,2,6}:{(44,1),(45,1),(97,1),(98,1)}
        73:{1,5,6}:{(46,1),(47,1),(99,1),(101,1)}
        74:{1,4,5,7}:{(46,1),(48,1),(87,1),(99,1),(100,1),(128,1)}
        75:{4,6}:{(47,1),(48,1)}
        76:{3,6}:{(49,1),(50,1),(101,1)}
        77:{1,5,7}:{(50,1),(51,1),(52,1),(101,1)}
        78:{2,5,7}:{(53,1),(54,1),(102,1),(152,1)}
        79:{3,5,6}:{(54,1),(55,1),(102,1),(104,1),(105,1),(141,1)}
        80:{4,5,7}:{(54,1),(64,1),(104,1),(113,1)}
        81:{1,4,6}:{(55,1),(56,1),(104,1),(105,1)}
        82:{3,5,7}:{(56,1),(57,1),(58,1),(105,1),(106,1)}
        83:{2,5}:{(57,1),(59,1)}
        84:{2,4,7}:{(58,1),(59,1),(71,1),(106,1)}
        85:{1,2,5,7}:{(60,1),(61,1),(62,1),(107,1),(108,1),(122,1),(142,1)}
        86:{1,3,5,6}:{(61,1),(63,1),(73,1),(107,1),(109,1),(118,1),(121,1),(144,1),(147,1),(151,1),(165,1),(168,1)}
        87:{1,4,7}:{(61,1),(64,1),(109,1),(110,1)}
        88:{2,3,5,6}:{(62,1),(63,1),(102,1),(107,1),(111,1),(119,1),(141,1),(144,1),(149,1),(152,1),(166,1),(168,1)}
        89:{2,4,7}:{(62,1),(64,1),(111,1),(112,1)}
        90:{4,6}:{(63,1),(64,1),(113,1)}
        91:{3,4,7}:{(64,1),(65,1),(67,1),(114,1),(115,1),(116,1),(154,1),(164,1)}
        92:{1,4}:{(65,1),(68,1)}
        93:{2,4}:{(65,1),(69,1)}
        94:{3,6}:{(66,1),(67,1)}
        95:{1,3,5,7}:{(67,1),(68,1),(70,1),(77,1),(115,1),(118,1),(120,1),(142,1),(145,1),(151,1),(154,1),(165,1),(168,1)}
        96:{2,3,5,7}:{(67,1),(69,1),(71,1),(106,1),(116,1),(119,1),(120,1),(122,1),(146,1),(152,1),(154,1),(166,1),(168,1)}
        97:{1,2,5}:{(68,1),(69,1),(72,1),(117,1)}
        98:{1,2,7}:{(70,1),(71,1),(72,1)}
        99:{1,4,6}:{(73,1),(74,1),(75,1),(121,1)}
       100:{3,5,7}:{(74,1),(110,1),(121,1),(122,1),(147,1)}
       101:{1,6}:{(76,1),(77,1)}
       102:{2,5,6}:{(78,1),(79,1),(123,1),(125,1)}
       103:{2,4,5,7}:{(78,1),(80,1),(89,1),(123,1),(124,1),(131,1)}
       104:{4,6}:{(79,1),(80,1)}
       105:{3,6}:{(81,1),(82,1),(125,1)}
       106:{2,5,7}:{(82,1),(83,1),(84,1),(125,1)}
       107:{1,2,5,6}:{(85,1),(86,1),(88,1),(126,1),(139,1),(140,1),(155,1),(160,1),(161,1),(162,1),(171,1)}
       108:{1,2,4,7}:{(85,1),(87,1),(89,1),(126,1),(127,1),(130,1),(133,1),(159,1)}
       109:{1,4,6}:{(86,1),(87,1),(90,1),(128,1),(129,1),(169,1),(172,1)}
       110:{3,4,7}:{(87,1),(100,1),(127,1),(129,1),(130,1)}
       111:{2,4,6}:{(88,1),(89,1),(90,1),(131,1),(132,1),(170,1),(172,1)}
       112:{3,4,7}:{(89,1),(124,1),(127,1),(132,1),(133,1)}
       113:{4,5}:{(90,1),(134,1),(172,1)}
       114:{3,4,6}:{(90,1),(91,1),(94,1),(134,1),(135,1),(136,1),(163,1),(172,1)}
       115:{1,4,7}:{(91,1),(92,1),(95,1),(135,1),(169,1),(172,1)}
       116:{2,4,7}:{(91,1),(93,1),(96,1),(136,1),(170,1),(172,1)}
       117:{1,2,4}:{(92,1),(93,1),(97,1),(138,1)}
       118:{1,3,6}:{(94,1),(95,1),(101,1),(135,1),(139,1),(155,1),(163,1)}
       119:{2,3,6}:{(94,1),(96,1),(125,1),(136,1),(139,1),(140,1),(163,1)}
       120:{1,2,5,7}:{(95,1),(96,1),(97,1),(98,1),(137,1),(139,1),(159,1),(162,1),(171,1)}
       121:{3,6}:{(99,1),(100,1),(140,1)}
       122:{2,5,7}:{(100,1),(130,1),(140,1),(160,1)}
       123:{2,4,6}:{(102,1),(103,1),(104,1),(141,1)}
       124:{3,5,7}:{(103,1),(112,1),(141,1),(142,1),(149,1)}
       125:{2,6}:{(105,1),(106,1)}
       126:{1,2,4,6}:{(107,1),(108,1),(109,1),(111,1),(143,1),(144,1),(148,1),(150,1),(167,1),(173,1)}
       127:{3,7}:{(108,1),(144,1)}
       128:{1,4,5}:{(109,1),(113,1),(147,1),(151,1)}
       129:{3,4,6}:{(109,1),(110,1),(121,1),(144,1),(147,1),(148,1),(164,1)}
       130:{2,4,7}:{(110,1),(122,1),(146,1),(148,1)}
       131:{2,4,5}:{(111,1),(113,1),(149,1),(152,1)}
       132:{3,4,6}:{(111,1),(112,1),(141,1),(144,1),(149,1),(150,1),(164,1)}
       133:{1,4,7}:{(112,1),(142,1),(145,1),(150,1)}
       134:{3,5}:{(113,1),(114,1),(151,1),(152,1)}
       135:{1,4,6}:{(114,1),(115,1),(118,1),(151,1)}
       136:{2,4,6}:{(114,1),(116,1),(119,1),(152,1)}
       137:{1,2,4,7}:{(115,1),(116,1),(117,1),(120,1),(153,1),(154,1),(173,1)}
       138:{3}:{(117,1)}
       139:{1,2,6}:{(118,1),(119,1),(120,1)}
       140:{2,6}:{(121,1),(122,1)}
       141:{3,6}:{(123,1),(124,1),(155,1)}
       142:{1,5,7}:{(124,1),(133,1),(155,1),(161,1)}
       143:{1,2,4,5}:{(126,1),(128,1),(131,1),(156,1),(160,1),(161,1),(162,1),(169,1),(170,1),(171,1),(172,1)}
       144:{3,6}:{(126,1),(127,1),(156,1),(174,1)}
       145:{1,3,7}:{(127,1),(133,1),(157,1),(159,1)}
       146:{2,3,7}:{(127,1),(130,1),(158,1),(159,1)}
       147:{3,5}:{(128,1),(129,1),(160,1)}
       148:{2,4,6}:{(129,1),(130,1),(140,1),(158,1),(160,1),(170,1)}
       149:{3,5}:{(131,1),(132,1),(161,1)}
       150:{1,4,6}:{(132,1),(133,1),(155,1),(157,1),(161,1),(169,1)}
       151:{1,5}:{(134,1),(135,1)}
       152:{2,5}:{(134,1),(136,1)}
       153:{1,2,4,6}:{(135,1),(136,1),(137,1),(139,1),(162,1),(163,1),(172,1)}
       154:{3,7}:{(137,1),(138,1),(163,1),(174,1)}
       155:{1,6}:{(141,1),(142,1)}
       156:{3,5}:{(143,1),(144,1),(164,1)}
       157:{1,3,6}:{(144,1),(145,1),(150,1),(165,1),(167,1)}
       158:{2,3,6}:{(144,1),(146,1),(148,1),(166,1),(167,1)}
       159:{1,2,7}:{(145,1),(146,1),(167,1)}
       160:{2,5}:{(147,1),(148,1)}
       161:{1,5}:{(149,1),(150,1)}
       162:{1,2,5}:{(151,1),(152,1),(153,1),(168,1)}
       163:{3,6}:{(153,1),(154,1),(168,1)}
       164:{3,4}:{(156,1),(169,1),(170,1),(172,1),(174,1)}
       165:{1,3,5}:{(156,1),(157,1),(161,1),(169,1),(171,1),(174,1)}
       166:{2,3,5}:{(156,1),(158,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,2,6}:{(157,1),(158,1),(159,1),(171,1)}
       168:{3,5}:{(162,1),(163,1),(172,1)}
       169:{1,4}:{(164,1),(165,1)}
       170:{2,4}:{(164,1),(166,1)}
       171:{1,2,5}:{(165,1),(166,1),(167,1),(173,1)}
       172:{4}:{(168,1)}
       173:{1,2,4}:{(169,1),(170,1),(171,1),(174,1)}
       174:{3}:{(173,1)}

 532 :   0:{2,3,5,6}:{(1,1),(2,1),(3,1),(12,1),(16,1),(40,1),(44,1),(45,1),(86,1),(87,1),(121,1),(147,1)}
         1:{1,2,5,6}:{(0,1),(5,1),(6,1),(7,1),(24,1),(61,1),(66,1),(68,1),(105,1),(110,1),(135,1)}
         2:{2,4,6}:{(0,1),(4,1),(8,1),(9,1),(59,1),(108,1),(158,1)}
         3:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(25,1),(33,1),(37,1),(77,1)}
         4:{2,4,5}:{(2,1),(12,1),(121,1),(122,1)}
         5:{1,3,5,6}:{(1,1),(14,1),(15,1),(16,1),(39,1),(46,1),(85,1),(87,1),(91,1),(92,1),(120,1),(147,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(11,1),(14,1),(16,1),(17,1),(19,1),(48,1),(51,1),(80,1)}
         7:{1,2,5,7}:{(1,1),(3,1),(15,1),(17,1),(18,1),(43,1),(90,1)}
         8:{3,4,6}:{(2,1),(12,1),(16,1),(19,1),(20,1),(38,1),(44,1)}
         9:{2,4,7}:{(2,1),(3,1),(20,1),(98,1)}
        10:{2,3,6,7}:{(3,1),(18,1),(21,1),(44,1),(54,1),(86,1),(157,1)}
        11:{1,2,4,5}:{(4,1),(6,1),(22,1),(24,1),(27,1),(58,1),(59,1),(61,1),(68,1),(135,1),(158,1)}
        12:{3,5}:{(4,1),(8,1),(24,1)}
        13:{2,4,5,7}:{(4,1),(9,1),(25,1),(26,1),(37,1),(79,1)}
        14:{1,4,6}:{(5,1),(27,1),(28,1),(29,1),(58,1),(108,1),(158,1)}
        15:{1,3,5,7}:{(5,1),(7,1),(29,1),(30,1),(33,1),(69,1),(73,1),(77,1)}
        16:{3,6}:{(6,1),(22,1),(33,1),(100,1)}
        17:{1,2,4,7}:{(6,1),(7,1),(9,1),(29,1),(33,1),(35,1),(71,1),(74,1)}
        18:{1,2,6,7}:{(7,1),(10,1),(30,1),(66,1),(105,1),(110,1),(165,1)}
        19:{1,4,6}:{(8,1),(24,1),(31,1),(35,1),(58,1),(66,1)}
        20:{3,4,7}:{(8,1),(9,1),(25,1),(33,1),(35,1)}
        21:{2,4,6,7}:{(9,1),(10,1),(26,1),(36,1),(37,1),(103,1),(141,1),(145,1)}
        22:{3,5}:{(11,1),(16,1),(38,1)}
        23:{1,2,4,5,7}:{(11,1),(13,1),(17,1),(41,1),(42,1),(43,1),(47,1),(55,1),(81,1),(82,1),(84,1),(90,1),(98,1),(99,1),(120,1),(121,1),(122,1),(129,1),(130,1),(133,1),(148,1),(155,1)}
        24:{1,5}:{(12,1),(19,1)}
        25:{3,5,7}:{(12,1),(13,1),(20,1),(43,1),(44,1)}
        26:{2,4,6}:{(13,1),(44,1),(45,1),(89,1)}
        27:{1,4,5}:{(14,1),(46,1),(120,1),(122,1)}
        28:{3,4,6}:{(14,1),(16,1),(38,1),(46,1),(48,1),(49,1),(91,1)}
        29:{1,4,7}:{(14,1),(15,1),(49,1),(98,1)}
        30:{1,3,6,7}:{(15,1),(18,1),(50,1),(54,1),(85,1),(91,1),(156,1)}
        31:{1,3,6}:{(16,1),(19,1),(39,1),(51,1),(52,1)}
        32:{2,3,6}:{(16,1),(40,1),(48,1),(51,1),(53,1)}
        33:{3,7}:{(16,1),(17,1)}
        34:{1,2,4,6,7}:{(17,1),(18,1),(21,1),(42,1),(50,1),(54,1),(55,1),(56,1),(93,1),(95,1),(98,1),(119,1),(130,1)}
        35:{1,4,7}:{(19,1),(20,1),(43,1),(52,1)}
        36:{3,4,6,7}:{(20,1),(21,1),(44,1),(54,1),(56,1),(57,1),(83,1),(89,1),(98,1),(126,1),(131,1)}
        37:{2,5,7}:{(21,1),(45,1),(57,1),(121,1)}
        38:{3,4}:{(22,1),(58,1),(59,1),(100,1),(158,1)}
        39:{1,3,5}:{(22,1),(24,1),(31,1),(58,1),(61,1),(100,1)}
        40:{2,3,5}:{(22,1),(32,1),(59,1),(61,1),(68,1),(100,1)}
        41:{3,5,7}:{(22,1),(23,1),(33,1),(60,1),(64,1),(104,1),(144,1),(159,1)}
        42:{1,2,4,6}:{(23,1),(26,1),(64,1),(65,1),(66,1),(70,1),(102,1),(103,1),(105,1),(108,1),(109,1),(110,1),(141,1),(142,1),(164,1)}
        43:{1,5,7}:{(24,1),(25,1),(35,1),(66,1)}
        44:{3,6}:{(25,1),(26,1),(66,1)}
        45:{2,5,6}:{(26,1),(37,1),(67,1),(141,1)}
        46:{3,5}:{(27,1),(28,1),(68,1)}
        47:{1,4,5,7}:{(27,1),(29,1),(69,1),(70,1),(73,1),(113,1)}
        48:{2,4,6}:{(28,1),(32,1),(59,1),(68,1),(71,1),(110,1)}
        49:{3,4,7}:{(28,1),(29,1),(33,1),(69,1),(71,1)}
        50:{1,4,6,7}:{(29,1),(30,1),(70,1),(72,1),(73,1),(102,1),(146,1),(164,1)}
        51:{1,2,6}:{(31,1),(32,1),(61,1),(74,1)}
        52:{1,3,7}:{(31,1),(33,1),(35,1),(74,1)}
        53:{2,3,7}:{(32,1),(33,1),(71,1),(74,1)}
        54:{3,6,7}:{(33,1),(34,1),(64,1),(77,1),(134,1),(144,1)}
        55:{1,2,5,7}:{(34,1),(37,1),(65,1),(73,1),(77,1),(78,1),(112,1),(135,1)}
        56:{1,4,6,7}:{(35,1),(36,1),(66,1),(75,1),(78,1),(102,1),(109,1),(115,1)}
        57:{3,5,7}:{(36,1),(37,1),(67,1),(78,1),(79,1),(104,1)}
        58:{1,4}:{(38,1),(39,1)}
        59:{2,4}:{(38,1),(40,1)}
        60:{3,4,7}:{(38,1),(41,1),(81,1),(82,1),(83,1),(98,1),(118,1),(166,1)}
        61:{1,2,5}:{(39,1),(40,1),(51,1),(80,1)}
        62:{1,3,5,7}:{(39,1),(41,1),(43,1),(52,1),(81,1),(84,1),(85,1),(118,1),(120,1),(147,1),(155,1),(156,1),(167,1)}
        63:{2,3,5,7}:{(40,1),(41,1),(53,1),(82,1),(84,1),(86,1),(90,1),(118,1),(121,1),(133,1),(147,1),(157,1),(168,1)}
        64:{3,6}:{(41,1),(42,1)}
        65:{1,2,5,6}:{(42,1),(45,1),(55,1),(87,1),(88,1),(92,1),(120,1),(121,1),(127,1)}
        66:{1,6}:{(43,1),(44,1)}
        67:{3,5,6}:{(44,1),(45,1),(57,1),(88,1),(89,1),(126,1)}
        68:{2,5}:{(46,1),(48,1)}
        69:{3,5,7}:{(46,1),(47,1),(49,1),(90,1),(91,1)}
        70:{1,4,6}:{(47,1),(91,1),(92,1),(128,1)}
        71:{2,4,7}:{(48,1),(49,1),(53,1),(90,1)}
        72:{3,4,6,7}:{(49,1),(50,1),(54,1),(83,1),(91,1),(93,1),(94,1),(98,1),(128,1),(132,1),(154,1)}
        73:{1,5,7}:{(50,1),(92,1),(94,1),(120,1)}
        74:{1,2,7}:{(51,1),(52,1),(53,1)}
        75:{1,3,6,7}:{(52,1),(54,1),(56,1),(85,1),(95,1),(96,1),(126,1)}
        76:{2,3,6,7}:{(53,1),(54,1),(86,1),(93,1),(95,1),(97,1),(154,1)}
        77:{3,5,7}:{(54,1),(55,1),(87,1),(98,1),(147,1)}
        78:{1,5,7}:{(56,1),(57,1),(88,1),(120,1)}
        79:{4,5,7}:{(57,1),(89,1),(98,1),(122,1)}
        80:{1,2,4}:{(58,1),(59,1),(61,1),(100,1)}
        81:{1,4,7}:{(58,1),(60,1),(62,1),(102,1),(158,1),(170,1)}
        82:{2,4,7}:{(59,1),(60,1),(63,1),(103,1),(158,1),(171,1)}
        83:{3,4,6}:{(60,1),(64,1),(102,1),(103,1),(104,1),(108,1),(134,1),(158,1)}
        84:{1,2,5,7}:{(61,1),(62,1),(63,1),(74,1),(101,1),(105,1),(135,1),(165,1),(172,1)}
        85:{1,3,6}:{(62,1),(64,1),(66,1),(102,1),(105,1),(134,1),(164,1)}
        86:{2,3,6}:{(63,1),(64,1),(103,1),(105,1),(110,1),(134,1),(141,1)}
        87:{3,5,6}:{(64,1),(65,1),(77,1),(104,1),(108,1)}
        88:{1,5,6}:{(66,1),(67,1),(78,1),(109,1)}
        89:{4,6}:{(67,1),(79,1)}
        90:{2,5,7}:{(68,1),(69,1),(71,1),(110,1)}
        91:{3,6}:{(69,1),(70,1),(110,1)}
        92:{1,5,6}:{(70,1),(73,1),(111,1),(164,1)}
        93:{2,4,6,7}:{(71,1),(72,1),(76,1),(103,1),(110,1),(112,1),(116,1),(142,1)}
        94:{3,5,7}:{(72,1),(73,1),(104,1),(111,1),(112,1),(113,1)}
        95:{1,2,6,7}:{(74,1),(75,1),(76,1),(105,1),(114,1),(141,1),(164,1)}
        96:{1,3,5,7}:{(75,1),(77,1),(78,1),(106,1),(114,1),(115,1),(117,1),(144,1)}
        97:{2,3,5,7}:{(76,1),(77,1),(107,1),(112,1),(114,1),(116,1),(143,1),(144,1)}
        98:{4,7}:{(77,1),(108,1),(158,1)}
        99:{1,4,5,7}:{(78,1),(79,1),(109,1),(115,1),(117,1),(136,1)}
       100:{3}:{(80,1)}
       101:{1,2,4,7}:{(80,1),(81,1),(82,1),(84,1),(118,1),(119,1),(173,1)}
       102:{1,4,6}:{(81,1),(83,1),(85,1),(120,1)}
       103:{2,4,6}:{(82,1),(83,1),(86,1),(121,1)}
       104:{3,5}:{(83,1),(120,1),(121,1),(122,1)}
       105:{1,2,6}:{(84,1),(85,1),(86,1)}
       106:{1,3,5,6}:{(85,1),(87,1),(88,1),(96,1),(120,1),(123,1),(124,1),(126,1),(147,1),(149,1),(151,1),(167,1)}
       107:{2,3,5,6}:{(86,1),(87,1),(97,1),(121,1),(123,1),(125,1),(127,1),(147,1),(150,1),(151,1),(154,1),(168,1)}
       108:{4,6}:{(87,1),(98,1),(122,1)}
       109:{1,4,6}:{(88,1),(89,1),(99,1),(126,1)}
       110:{2,6}:{(90,1),(91,1)}
       111:{3,5,6}:{(91,1),(92,1),(94,1),(127,1),(128,1),(154,1)}
       112:{2,5,7}:{(93,1),(94,1),(121,1),(127,1)}
       113:{4,5,7}:{(94,1),(98,1),(122,1),(128,1)}
       114:{1,2,5,7}:{(95,1),(96,1),(97,1),(123,1),(130,1),(133,1),(155,1)}
       115:{1,4,7}:{(96,1),(98,1),(124,1),(131,1)}
       116:{2,4,7}:{(97,1),(98,1),(125,1),(132,1)}
       117:{3,5,7}:{(99,1),(126,1),(131,1),(133,1),(149,1)}
       118:{3,7}:{(100,1),(101,1),(134,1),(174,1)}
       119:{1,2,4,6}:{(101,1),(102,1),(103,1),(105,1),(134,1),(135,1),(158,1)}
       120:{1,5}:{(102,1),(104,1)}
       121:{2,5}:{(103,1),(104,1)}
       122:{4,5}:{(104,1),(108,1),(158,1)}
       123:{1,2,5,6}:{(105,1),(106,1),(107,1),(114,1),(135,1),(138,1),(141,1),(160,1),(161,1),(164,1),(172,1)}
       124:{1,4,6}:{(106,1),(108,1),(115,1),(136,1),(139,1),(158,1),(170,1)}
       125:{2,4,6}:{(107,1),(108,1),(116,1),(137,1),(140,1),(158,1),(171,1)}
       126:{3,6}:{(109,1),(117,1),(141,1)}
       127:{2,5,6}:{(110,1),(111,1),(112,1),(142,1)}
       128:{4,6}:{(111,1),(113,1)}
       129:{2,4,5,7}:{(112,1),(113,1),(116,1),(137,1),(142,1),(143,1)}
       130:{1,2,4,7}:{(114,1),(115,1),(116,1),(138,1),(144,1),(145,1),(146,1),(165,1)}
       131:{3,4,7}:{(115,1),(117,1),(139,1),(144,1),(145,1)}
       132:{3,4,7}:{(116,1),(140,1),(143,1),(144,1),(146,1)}
       133:{2,5,7}:{(117,1),(141,1),(145,1),(160,1)}
       134:{3,6}:{(118,1),(119,1),(147,1)}
       135:{1,2,5}:{(119,1),(120,1),(121,1),(147,1)}
       136:{1,4,5}:{(120,1),(122,1),(124,1),(149,1)}
       137:{2,4,5}:{(121,1),(122,1),(125,1),(150,1)}
       138:{1,2,4,6}:{(123,1),(124,1),(125,1),(130,1),(148,1),(151,1),(152,1),(153,1),(169,1),(173,1)}
       139:{3,4,6}:{(124,1),(126,1),(131,1),(149,1),(151,1),(152,1),(166,1)}
       140:{3,4,6}:{(125,1),(132,1),(150,1),(151,1),(153,1),(154,1),(166,1)}
       141:{2,6}:{(126,1),(133,1)}
       142:{2,4,6}:{(127,1),(128,1),(129,1),(154,1)}
       143:{3,5,7}:{(129,1),(132,1),(150,1),(154,1),(155,1)}
       144:{3,7}:{(130,1),(151,1)}
       145:{2,4,7}:{(131,1),(133,1),(152,1),(157,1)}
       146:{1,4,7}:{(132,1),(153,1),(155,1),(156,1)}
       147:{3,5}:{(134,1),(135,1),(158,1)}
       148:{1,2,4,5}:{(135,1),(136,1),(137,1),(138,1),(158,1),(159,1),(160,1),(161,1),(170,1),(171,1),(172,1)}
       149:{3,5}:{(136,1),(139,1),(160,1)}
       150:{3,5}:{(137,1),(140,1),(161,1)}
       151:{3,6}:{(138,1),(144,1),(159,1),(174,1)}
       152:{2,4,6}:{(139,1),(141,1),(145,1),(160,1),(163,1),(171,1)}
       153:{1,4,6}:{(140,1),(146,1),(161,1),(162,1),(164,1),(170,1)}
       154:{3,6}:{(142,1),(143,1),(164,1)}
       155:{1,5,7}:{(143,1),(146,1),(161,1),(164,1)}
       156:{1,3,7}:{(144,1),(146,1),(162,1),(165,1)}
       157:{2,3,7}:{(144,1),(145,1),(163,1),(165,1)}
       158:{4}:{(147,1)}
       159:{3,5}:{(148,1),(151,1),(166,1)}
       160:{2,5}:{(149,1),(152,1)}
       161:{1,5}:{(150,1),(153,1)}
       162:{1,3,6}:{(151,1),(153,1),(156,1),(167,1),(169,1)}
       163:{2,3,6}:{(151,1),(152,1),(157,1),(168,1),(169,1)}
       164:{1,6}:{(154,1),(155,1)}
       165:{1,2,7}:{(156,1),(157,1),(169,1)}
       166:{3,4}:{(158,1),(159,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(159,1),(161,1),(162,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(159,1),(160,1),(163,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(162,1),(163,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

 533 :   0:{2,4,5,6}:{(2,1),(3,1),(15,1),(37,1),(92,1)}
         1:{2,5,6,7}:{(4,1),(6,1),(69,1),(75,1)}
         2:{2,4,5,7}:{(0,1),(6,1),(7,1),(26,1),(29,1),(75,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(8,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(12,1),(16,1),(43,1),(48,1)}
         5:{3,4,6}:{(3,1),(10,1),(13,1),(14,1),(15,1),(52,1)}
         6:{2,4,6,7}:{(1,1),(2,1),(12,1),(16,1)}
         7:{3,5,7}:{(2,1),(3,1),(13,1),(16,1),(17,1)}
         8:{1,5,6}:{(3,1),(14,1),(17,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(36,1),(52,1),(88,1),(92,1),(146,1)}
        10:{3,4,5}:{(5,1),(21,1),(22,1),(66,1)}
        11:{1,5,6,7}:{(4,1),(23,1),(31,1),(74,1)}
        12:{4,6,7}:{(4,1),(26,1)}
        13:{3,4,7}:{(5,1),(7,1),(28,1),(29,1),(77,1)}
        14:{1,4,6}:{(5,1),(8,1),(21,1),(24,1),(28,1)}
        15:{2,4,6}:{(5,1),(9,1),(22,1),(29,1),(166,1)}
        16:{3,6,7}:{(6,1),(7,1),(31,1)}
        17:{1,5,7}:{(7,1),(8,1),(28,1),(31,1)}
        18:{2,3,5,7}:{(7,1),(9,1),(29,1),(32,1),(33,1),(75,1),(77,1),(130,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(30,1),(33,1),(34,1),(61,1),(118,1),(129,1),(172,1)}
        20:{3,4,5,7}:{(10,1),(13,1),(38,1),(39,1),(40,1),(48,1),(94,1),(96,1),(135,1),(153,1),(183,1)}
        21:{1,4,5}:{(10,1),(14,1),(35,1)}
        22:{2,4,5}:{(10,1),(15,1),(36,1),(183,1)}
        23:{1,4,6,7}:{(11,1),(12,1),(42,1),(43,1)}
        24:{1,3,6}:{(14,1),(35,1),(44,1),(45,1),(52,1)}
        25:{2,3,4,6}:{(15,1),(36,1),(46,1),(47,1),(52,1),(88,1),(95,1),(101,1),(147,1)}
        26:{4,5,7}:{(12,1),(37,1),(48,1),(153,1)}
        27:{3,4,6,7}:{(12,1),(13,1),(16,1),(38,1),(43,1),(48,1),(49,1),(50,1),(96,1),(104,1),(153,1)}
        28:{1,4,7}:{(13,1),(14,1),(17,1),(44,1)}
        29:{2,4,7}:{(13,1),(15,1),(18,1),(153,1)}
        30:{1,2,4,6}:{(14,1),(15,1),(19,1),(41,1),(45,1),(51,1),(52,1),(55,1),(101,1)}
        31:{1,6,7}:{(16,1),(17,1)}
        32:{2,3,6,7}:{(16,1),(18,1),(50,1),(53,1),(88,1),(104,1),(148,1)}
        33:{1,2,5,7}:{(17,1),(18,1),(19,1),(51,1),(53,1),(54,1),(152,1)}
        34:{1,3,5,6}:{(19,1),(52,1),(54,1),(55,1),(90,1),(106,1),(144,1),(146,1),(155,1),(156,1),(182,1)}
        35:{1,3,5}:{(21,1),(24,1),(56,1),(59,1),(66,1)}
        36:{2,3,5}:{(22,1),(25,1),(61,1),(66,1),(129,1),(167,1)}
        37:{4,5,6}:{(26,1),(62,1),(166,1)}
        38:{3,4,6}:{(20,1),(62,1),(63,1),(64,1),(122,1),(166,1)}
        39:{1,4,5,7}:{(20,1),(21,1),(28,1),(58,1),(63,1),(74,1),(124,1),(157,1)}
        40:{2,4,5,7}:{(20,1),(22,1),(29,1),(60,1),(64,1),(75,1),(125,1),(158,1)}
        41:{1,2,4,5}:{(21,1),(22,1),(30,1),(59,1),(61,1),(66,1),(81,1),(117,1),(120,1),(129,1)}
        42:{1,4,5,7}:{(23,1),(26,1),(57,1),(67,1),(74,1),(124,1)}
        43:{3,6,7}:{(23,1),(67,1),(69,1)}
        44:{1,3,7}:{(24,1),(28,1),(70,1),(77,1)}
        45:{1,2,6}:{(24,1),(59,1),(70,1),(71,1)}
        46:{2,3,4,7}:{(25,1),(29,1),(60,1),(72,1),(77,1),(123,1),(128,1),(189,1)}
        47:{1,2,4,6}:{(25,1),(61,1),(72,1),(73,1),(118,1),(120,1),(165,1)}
        48:{3,5,7}:{(26,1),(27,1),(62,1),(74,1),(75,1)}
        49:{1,4,6,7}:{(27,1),(28,1),(31,1),(63,1),(68,1),(74,1),(124,1)}
        50:{2,4,6,7}:{(27,1),(29,1),(32,1),(64,1),(69,1),(75,1),(125,1)}
        51:{1,2,4,7}:{(28,1),(29,1),(30,1),(33,1),(70,1),(77,1),(80,1),(128,1)}
        52:{3,6}:{(30,1),(66,1),(77,1)}
        53:{1,2,6,7}:{(31,1),(32,1),(33,1),(79,1),(118,1),(168,1),(172,1)}
        54:{1,3,5,7}:{(33,1),(34,1),(77,1),(79,1),(80,1),(130,1),(132,1),(133,1)}
        55:{1,4,6}:{(34,1),(78,1),(80,1),(81,1),(120,1),(166,1)}
        56:{1,3,4}:{(35,1),(83,1),(95,1)}
        57:{1,4,5,6}:{(37,1),(42,1),(84,1),(91,1),(139,1)}
        58:{1,3,5,7}:{(35,1),(39,1),(44,1),(82,1),(85,1),(86,1),(94,1),(136,1),(204,1)}
        59:{1,2,5}:{(35,1),(45,1),(83,1),(87,1)}
        60:{2,3,5,7}:{(36,1),(40,1),(46,1),(88,1),(89,1),(94,1),(148,1),(152,1),(175,1)}
        61:{1,2,5}:{(36,1),(47,1),(90,1),(182,1)}
        62:{3,5,6}:{(37,1),(38,1),(48,1),(91,1),(92,1)}
        63:{1,4,6}:{(38,1),(39,1),(85,1),(91,1)}
        64:{2,4,6}:{(38,1),(40,1),(88,1),(92,1)}
        65:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(51,1),(86,1),(89,1),(93,1),(94,1),(103,1),(108,1),(143,1),(145,1),(149,1),(152,1),(153,1),(176,1),(181,1),(182,1),(183,1),(186,1),(204,1)}
        66:{3,5}:{(41,1),(52,1),(95,1)}
        67:{3,5,7}:{(42,1),(43,1),(84,1),(96,1),(98,1)}
        68:{1,3,6,7}:{(43,1),(44,1),(49,1),(85,1),(97,1),(99,1),(104,1)}
        69:{2,6,7}:{(43,1),(98,1)}
        70:{1,2,7}:{(44,1),(45,1),(100,1)}
        71:{2,3,6}:{(45,1),(52,1),(87,1),(100,1),(101,1)}
        72:{1,2,4,7}:{(46,1),(47,1),(89,1),(102,1),(145,1),(199,1)}
        73:{1,3,6}:{(47,1),(52,1),(90,1),(102,1)}
        74:{1,5,7}:{(48,1),(49,1),(91,1)}
        75:{2,5,7}:{(48,1),(50,1),(92,1)}
        76:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(53,1),(93,1),(99,1),(103,1),(104,1),(107,1),(149,1),(151,1),(153,1)}
        77:{3,7}:{(51,1),(52,1)}
        78:{3,4,6}:{(52,1),(55,1),(95,1),(101,1),(105,1),(106,1),(155,1)}
        79:{1,3,6,7}:{(53,1),(54,1),(104,1),(107,1),(144,1),(155,1),(184,1)}
        80:{1,4,7}:{(54,1),(55,1),(105,1),(153,1)}
        81:{1,4,5}:{(55,1),(106,1),(182,1),(183,1)}
        82:{1,3,4,7}:{(56,1),(58,1),(109,1),(110,1),(123,1),(124,1),(169,1),(196,1)}
        83:{1,2,4}:{(56,1),(59,1),(111,1),(117,1)}
        84:{3,5,6}:{(57,1),(67,1),(112,1),(114,1)}
        85:{1,3,6}:{(58,1),(63,1),(115,1),(122,1),(209,1)}
        86:{1,2,5,7}:{(58,1),(59,1),(70,1),(110,1),(115,1),(116,1),(159,1)}
        87:{2,3,5}:{(59,1),(66,1),(71,1),(111,1),(117,1),(129,1)}
        88:{2,3,6}:{(60,1),(64,1),(118,1),(122,1),(172,1)}
        89:{1,2,5,7}:{(60,1),(61,1),(72,1),(118,1),(119,1),(168,1),(190,1)}
        90:{1,3,5}:{(61,1),(66,1),(73,1),(120,1)}
        91:{1,5,6}:{(62,1),(63,1),(74,1)}
        92:{2,5,6}:{(62,1),(64,1),(75,1)}
        93:{1,2,4,6}:{(63,1),(64,1),(65,1),(115,1),(118,1),(121,1),(122,1),(134,1),(164,1),(165,1),(166,1),(172,1),(198,1),(209,1)}
        94:{3,5,7}:{(65,1),(66,1),(77,1),(122,1),(123,1),(167,1),(169,1),(191,1)}
        95:{3,4}:{(66,1),(117,1),(120,1)}
        96:{3,4,7}:{(67,1),(112,1),(124,1),(125,1),(169,1)}
        97:{1,3,5,7}:{(67,1),(68,1),(74,1),(113,1),(124,1),(126,1),(130,1),(169,1)}
        98:{2,5,7}:{(67,1),(69,1),(114,1),(125,1)}
        99:{1,2,6,7}:{(68,1),(69,1),(70,1),(115,1),(126,1),(127,1),(209,1)}
       100:{2,3,7}:{(70,1),(71,1),(77,1),(128,1)}
       101:{2,4,6}:{(71,1),(78,1),(117,1),(128,1),(129,1),(172,1)}
       102:{1,3,7}:{(72,1),(73,1),(77,1),(206,1)}
       103:{1,2,5,7}:{(74,1),(75,1),(76,1),(121,1),(130,1),(133,1),(171,1)}
       104:{3,6,7}:{(76,1),(77,1),(122,1),(130,1),(169,1)}
       105:{3,4,7}:{(77,1),(78,1),(80,1),(128,1),(132,1)}
       106:{3,5}:{(78,1),(81,1),(129,1)}
       107:{1,4,6,7}:{(79,1),(80,1),(131,1),(133,1),(134,1),(165,1),(196,1),(209,1)}
       108:{1,4,5,7}:{(80,1),(81,1),(132,1),(133,1),(134,1),(173,1)}
       109:{1,3,4,6}:{(82,1),(85,1),(136,1),(137,1),(139,1),(147,1),(179,1),(201,1),(202,1)}
       110:{1,2,4,7}:{(82,1),(83,1),(86,1),(137,1),(138,1),(143,1)}
       111:{2,3}:{(83,1)}
       112:{3,4,6}:{(84,1),(96,1),(135,1),(139,1),(140,1),(179,1)}
       113:{1,3,5,6}:{(84,1),(85,1),(91,1),(97,1),(136,1),(139,1),(141,1),(146,1),(179,1)}
       114:{2,5,6}:{(84,1),(98,1),(140,1)}
       115:{1,2,6}:{(85,1),(86,1),(142,1)}
       116:{2,3,5,7}:{(86,1),(87,1),(94,1),(100,1),(138,1),(142,1),(143,1),(152,1),(177,1),(181,1)}
       117:{2,4}:{(87,1),(95,1)}
       118:{1,2,6}:{(88,1),(89,1),(144,1)}
       119:{1,3,5,7}:{(89,1),(90,1),(94,1),(102,1),(144,1),(145,1),(182,1),(184,1),(200,1),(204,1)}
       120:{1,4}:{(90,1),(95,1)}
       121:{1,2,5,6}:{(91,1),(92,1),(93,1),(103,1),(146,1),(156,1),(181,1),(182,1),(187,1)}
       122:{3,6}:{(93,1),(94,1)}
       123:{3,4,7}:{(94,1),(95,1),(143,1),(145,1),(147,1),(153,1),(201,1)}
       124:{1,4,7}:{(96,1),(97,1),(139,1),(153,1)}
       125:{2,4,7}:{(96,1),(98,1),(140,1),(148,1)}
       126:{1,2,5,7}:{(97,1),(98,1),(99,1),(141,1),(149,1),(150,1),(204,1)}
       127:{2,3,6,7}:{(99,1),(100,1),(104,1),(142,1),(150,1),(151,1),(205,1)}
       128:{2,4,7}:{(100,1),(101,1),(105,1),(152,1)}
       129:{2,5}:{(101,1),(106,1)}
       130:{3,5,7}:{(103,1),(104,1),(146,1),(153,1)}
       131:{3,4,6,7}:{(104,1),(105,1),(107,1),(147,1),(151,1),(153,1),(154,1),(155,1),(185,1),(188,1),(205,1)}
       132:{3,5,7}:{(105,1),(106,1),(108,1),(152,1),(155,1)}
       133:{1,5,7}:{(107,1),(154,1),(156,1),(182,1)}
       134:{1,4,6}:{(108,1),(155,1),(156,1),(188,1)}
       135:{3,4,5}:{(112,1),(157,1),(158,1),(191,1)}
       136:{1,3,5}:{(109,1),(157,1),(159,1),(167,1),(191,1),(208,1)}
       137:{1,2,4,6}:{(109,1),(110,1),(115,1),(159,1),(160,1),(164,1),(192,1)}
       138:{2,3,7}:{(110,1),(111,1),(160,1),(169,1)}
       139:{1,4,6}:{(112,1),(113,1),(124,1),(157,1),(166,1)}
       140:{2,4,6}:{(112,1),(114,1),(125,1),(158,1),(161,1)}
       141:{1,2,5,6}:{(113,1),(114,1),(115,1),(126,1),(159,1),(162,1),(163,1),(208,1),(209,1)}
       142:{2,3,6}:{(115,1),(116,1),(122,1),(164,1),(172,1)}
       143:{2,4,7}:{(116,1),(117,1),(123,1),(164,1),(192,1)}
       144:{1,3,6}:{(118,1),(119,1),(122,1),(165,1),(209,1)}
       145:{1,4,7}:{(119,1),(120,1),(123,1),(165,1),(207,1)}
       146:{3,5,6}:{(121,1),(122,1),(130,1),(166,1),(167,1)}
       147:{3,4,6}:{(122,1),(123,1),(164,1),(165,1),(166,1),(167,1)}
       148:{2,3,7}:{(125,1),(161,1),(168,1),(169,1)}
       149:{1,2,4,7}:{(124,1),(125,1),(126,1),(162,1),(168,1),(169,1),(170,1),(196,1)}
       150:{2,3,5,7}:{(126,1),(127,1),(130,1),(163,1),(169,1),(170,1),(171,1),(197,1)}
       151:{2,4,6,7}:{(127,1),(128,1),(131,1),(164,1),(170,1),(171,1),(172,1),(198,1)}
       152:{2,5,7}:{(128,1),(129,1),(132,1),(172,1)}
       153:{4,7}:{(130,1),(166,1)}
       154:{3,5,7}:{(131,1),(133,1),(167,1),(171,1),(173,1),(174,1)}
       155:{3,6}:{(132,1),(134,1),(172,1)}
       156:{1,5,6}:{(133,1),(134,1),(174,1),(209,1)}
       157:{1,4,5}:{(135,1),(136,1),(139,1),(183,1)}
       158:{2,4,5}:{(135,1),(140,1),(175,1)}
       159:{1,2,5}:{(136,1),(137,1),(177,1),(181,1)}
       160:{2,3,6}:{(137,1),(138,1),(177,1),(179,1)}
       161:{2,3,6}:{(140,1),(148,1),(175,1),(178,1),(179,1)}
       162:{1,2,4,6}:{(139,1),(140,1),(141,1),(149,1),(176,1),(178,1),(179,1),(180,1),(202,1)}
       163:{2,3,5,6}:{(141,1),(142,1),(146,1),(150,1),(177,1),(179,1),(180,1),(181,1),(187,1),(203,1),(205,1)}
       164:{2,4,6}:{(142,1),(143,1),(147,1),(181,1)}
       165:{1,4,6}:{(144,1),(145,1),(147,1),(182,1)}
       166:{4,6}:{(146,1),(153,1),(183,1)}
       167:{3,5}:{(147,1),(181,1),(182,1),(183,1)}
       168:{1,2,7}:{(148,1),(178,1),(184,1)}
       169:{3,7}:{(149,1),(179,1)}
       170:{2,4,7}:{(150,1),(153,1),(180,1),(185,1)}
       171:{2,5,7}:{(151,1),(154,1),(181,1),(187,1)}
       172:{2,6}:{(152,1),(155,1)}
       173:{4,5,7}:{(153,1),(154,1),(183,1),(188,1)}
       174:{3,5,6}:{(154,1),(155,1),(156,1),(187,1),(188,1),(205,1)}
       175:{2,3,5}:{(158,1),(161,1),(189,1),(190,1),(191,1)}
       176:{1,2,4,5}:{(157,1),(158,1),(159,1),(162,1),(190,1),(191,1),(192,1),(195,1),(207,1),(208,1)}
       177:{2,3,5}:{(159,1),(160,1),(191,1),(192,1)}
       178:{1,2,6}:{(161,1),(168,1),(190,1),(193,1)}
       179:{3,6}:{(162,1),(169,1),(191,1)}
       180:{2,4,6}:{(163,1),(166,1),(170,1),(192,1),(194,1),(195,1)}
       181:{2,5}:{(164,1),(167,1)}
       182:{1,5}:{(165,1),(167,1)}
       183:{4,5}:{(166,1),(167,1)}
       184:{1,3,7}:{(168,1),(169,1),(193,1),(196,1)}
       185:{3,4,7}:{(169,1),(170,1),(194,1),(196,1),(197,1)}
       186:{2,4,5,7}:{(170,1),(171,1),(173,1),(195,1),(197,1),(198,1)}
       187:{2,5,6}:{(171,1),(172,1),(174,1),(198,1)}
       188:{4,6}:{(173,1),(174,1)}
       189:{2,3,4}:{(175,1),(199,1),(201,1)}
       190:{1,2,5}:{(175,1),(178,1),(199,1),(200,1)}
       191:{3,5}:{(176,1),(179,1),(201,1)}
       192:{2,4}:{(177,1),(201,1)}
       193:{1,3,6}:{(178,1),(179,1),(184,1),(200,1),(202,1)}
       194:{3,4,6}:{(179,1),(180,1),(185,1),(201,1),(202,1),(203,1),(205,1)}
       195:{2,4,5}:{(180,1),(181,1),(183,1),(203,1)}
       196:{1,4,7}:{(184,1),(185,1),(202,1),(204,1)}
       197:{3,5,7}:{(185,1),(186,1),(203,1),(204,1),(205,1)}
       198:{2,4,6}:{(186,1),(187,1),(188,1),(205,1)}
       199:{1,2,4}:{(189,1),(190,1),(206,1),(207,1)}
       200:{1,3,5}:{(190,1),(191,1),(193,1),(206,1),(207,1),(208,1)}
       201:{3,4}:{(191,1),(192,1),(207,1)}
       202:{1,4,6}:{(193,1),(194,1),(196,1),(207,1),(208,1),(209,1)}
       203:{3,5}:{(194,1),(195,1),(208,1)}
       204:{1,5,7}:{(196,1),(197,1),(208,1),(209,1)}
       205:{3,6}:{(197,1),(198,1),(209,1)}
       206:{1,3}:{(199,1)}
       207:{1,4}:{(200,1),(201,1)}
       208:{1,5}:{(202,1),(203,1)}
       209:{1,6}:{(204,1),(205,1)}

 534 :   0:{2,5,6,7}:{(1,1),(2,1),(35,1),(39,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(5,1),(7,1),(19,1),(21,1)}
         2:{2,4,6,7}:{(0,1),(5,1),(6,1),(7,1)}
         3:{2,4,5,6}:{(6,1),(8,1),(20,1),(30,1),(58,1)}
         4:{1,5,6,7}:{(1,1),(9,1),(13,1),(38,1)}
         5:{4,6,7}:{(1,1),(10,1)}
         6:{2,4,5,7}:{(2,1),(3,1),(10,1),(12,1),(39,1),(44,1)}
         7:{3,6,7}:{(2,1),(12,1),(13,1)}
         8:{3,5,6}:{(3,1),(12,1),(15,1),(16,1)}
         9:{1,4,6,7}:{(4,1),(5,1),(18,1),(19,1)}
        10:{4,5,7}:{(5,1),(20,1),(21,1),(120,1)}
        11:{3,4,6,7}:{(5,1),(7,1),(19,1),(21,1),(22,1),(23,1),(25,1),(52,1),(56,1),(62,1),(120,1)}
        12:{3,5,7}:{(6,1),(7,1),(8,1),(25,1),(26,1)}
        13:{1,6,7}:{(7,1),(26,1)}
        14:{2,3,6,7}:{(7,1),(23,1),(27,1),(28,1),(62,1),(108,1),(114,1)}
        15:{3,4,6}:{(8,1),(24,1),(25,1),(29,1),(30,1),(73,1)}
        16:{1,5,6}:{(8,1),(26,1),(29,1)}
        17:{2,3,5,6}:{(8,1),(27,1),(30,1),(31,1),(58,1),(64,1),(73,1),(114,1),(116,1)}
        18:{1,4,5,7}:{(9,1),(10,1),(32,1),(33,1),(38,1),(78,1)}
        19:{3,6,7}:{(9,1),(33,1),(35,1)}
        20:{4,5,6}:{(10,1),(36,1),(147,1)}
        21:{3,5,7}:{(10,1),(11,1),(36,1),(38,1),(39,1)}
        22:{1,4,6,7}:{(11,1),(13,1),(34,1),(38,1),(43,1),(78,1),(83,1)}
        23:{2,4,6,7}:{(11,1),(14,1),(35,1),(39,1),(44,1),(79,1),(84,1)}
        24:{3,4,5}:{(15,1),(41,1),(42,1),(93,1)}
        25:{3,4,7}:{(12,1),(15,1),(43,1),(44,1),(96,1)}
        26:{1,5,7}:{(12,1),(13,1),(16,1),(43,1)}
        27:{2,3,5,7}:{(12,1),(14,1),(17,1),(39,1),(44,1),(45,1),(89,1),(96,1)}
        28:{1,2,6,7}:{(13,1),(14,1),(45,1),(46,1),(139,1),(145,1),(194,1)}
        29:{1,4,6}:{(15,1),(16,1),(41,1),(43,1),(47,1)}
        30:{2,4,6}:{(15,1),(17,1),(42,1),(44,1),(147,1)}
        31:{1,2,5,6}:{(16,1),(17,1),(45,1),(49,1),(50,1),(92,1),(145,1),(158,1),(194,1)}
        32:{1,4,5,6}:{(18,1),(20,1),(51,1),(57,1),(104,1)}
        33:{3,5,7}:{(18,1),(19,1),(51,1),(52,1),(54,1)}
        34:{1,3,6,7}:{(19,1),(22,1),(53,1),(55,1),(62,1),(66,1),(113,1)}
        35:{2,6,7}:{(19,1),(54,1)}
        36:{3,5,6}:{(20,1),(21,1),(56,1),(57,1),(58,1)}
        37:{3,4,5,7}:{(21,1),(24,1),(25,1),(52,1),(56,1),(59,1),(60,1),(103,1),(119,1),(120,1),(174,1)}
        38:{1,5,7}:{(21,1),(22,1),(57,1)}
        39:{2,5,7}:{(21,1),(23,1),(58,1)}
        40:{1,2,4,6,7}:{(22,1),(23,1),(28,1),(55,1),(61,1),(62,1),(68,1),(70,1),(109,1),(111,1),(115,1),(120,1)}
        41:{1,4,5}:{(24,1),(29,1),(63,1)}
        42:{2,4,5}:{(24,1),(30,1),(64,1),(174,1)}
        43:{1,4,7}:{(25,1),(26,1),(29,1),(66,1)}
        44:{2,4,7}:{(25,1),(27,1),(30,1),(120,1)}
        45:{1,2,5,7}:{(26,1),(27,1),(28,1),(31,1),(68,1),(69,1),(178,1)}
        46:{1,3,6,7}:{(28,1),(62,1),(69,1),(70,1),(167,1),(172,1),(179,1)}
        47:{1,3,6}:{(29,1),(63,1),(66,1),(71,1),(73,1)}
        48:{2,3,4,6}:{(30,1),(64,1),(67,1),(72,1),(73,1),(114,1),(124,1),(130,1),(173,1)}
        49:{1,2,4,6}:{(29,1),(30,1),(31,1),(65,1),(68,1),(71,1),(73,1),(74,1),(130,1)}
        50:{1,3,5,6}:{(31,1),(69,1),(73,1),(74,1),(116,1),(123,1),(129,1),(131,1),(172,1),(179,1),(204,1)}
        51:{3,5,6}:{(32,1),(33,1),(75,1),(77,1)}
        52:{3,4,7}:{(33,1),(75,1),(78,1),(79,1),(140,1)}
        53:{1,3,5,7}:{(33,1),(34,1),(38,1),(76,1),(78,1),(80,1),(89,1),(140,1)}
        54:{2,5,7}:{(33,1),(35,1),(77,1),(79,1)}
        55:{1,2,6,7}:{(34,1),(35,1),(80,1),(81,1),(94,1),(144,1),(209,1)}
        56:{3,4,6}:{(36,1),(37,1),(83,1),(84,1),(146,1),(147,1)}
        57:{1,5,6}:{(36,1),(38,1),(83,1)}
        58:{2,5,6}:{(36,1),(39,1),(84,1)}
        59:{1,4,5,7}:{(37,1),(38,1),(41,1),(43,1),(78,1),(83,1),(86,1),(132,1)}
        60:{2,4,5,7}:{(37,1),(39,1),(42,1),(44,1),(79,1),(84,1),(87,1),(133,1)}
        61:{1,2,5,7}:{(38,1),(39,1),(40,1),(85,1),(89,1),(98,1),(142,1)}
        62:{3,6,7}:{(40,1),(89,1),(96,1),(140,1),(146,1)}
        63:{1,3,5}:{(41,1),(47,1),(82,1),(91,1),(93,1)}
        64:{2,3,5}:{(42,1),(48,1),(92,1),(93,1),(158,1),(193,1)}
        65:{1,2,4,5}:{(41,1),(42,1),(49,1),(91,1),(92,1),(93,1),(102,1),(153,1),(154,1),(158,1)}
        66:{1,3,7}:{(43,1),(47,1),(94,1),(96,1)}
        67:{2,3,4,7}:{(44,1),(48,1),(87,1),(95,1),(96,1),(150,1),(155,1),(180,1)}
        68:{1,2,4,7}:{(43,1),(44,1),(45,1),(49,1),(94,1),(96,1),(97,1),(155,1)}
        69:{1,3,5,7}:{(45,1),(46,1),(50,1),(89,1),(96,1),(97,1),(98,1),(156,1)}
        70:{1,4,6,7}:{(46,1),(90,1),(97,1),(98,1),(157,1),(188,1),(192,1),(209,1)}
        71:{1,2,6}:{(47,1),(91,1),(94,1),(99,1)}
        72:{1,2,4,6}:{(48,1),(92,1),(95,1),(100,1),(145,1),(154,1),(192,1)}
        73:{3,6}:{(49,1),(93,1),(96,1)}
        74:{1,4,6}:{(50,1),(97,1),(101,1),(102,1),(147,1),(154,1)}
        75:{3,4,6}:{(51,1),(52,1),(103,1),(104,1),(105,1),(164,1)}
        76:{1,3,5,6}:{(51,1),(53,1),(57,1),(104,1),(106,1),(113,1),(116,1),(159,1),(164,1)}
        77:{2,5,6}:{(51,1),(54,1),(105,1)}
        78:{1,4,7}:{(52,1),(53,1),(104,1),(120,1)}
        79:{2,4,7}:{(52,1),(54,1),(105,1),(108,1)}
        80:{1,2,5,7}:{(53,1),(54,1),(55,1),(106,1),(109,1),(110,1),(201,1)}
        81:{2,3,6,7}:{(55,1),(62,1),(110,1),(111,1),(125,1),(171,1),(202,1)}
        82:{1,3,4}:{(63,1),(112,1),(124,1)}
        83:{1,4,6}:{(56,1),(57,1),(59,1),(113,1)}
        84:{2,4,6}:{(56,1),(58,1),(60,1),(114,1)}
        85:{1,2,5,6}:{(57,1),(58,1),(61,1),(115,1),(116,1),(129,1),(170,1),(203,1),(204,1)}
        86:{1,3,5,7}:{(59,1),(63,1),(66,1),(107,1),(113,1),(117,1),(119,1),(159,1),(201,1)}
        87:{2,3,5,7}:{(60,1),(64,1),(67,1),(108,1),(114,1),(118,1),(119,1),(160,1),(178,1)}
        88:{1,2,4,5,7}:{(59,1),(60,1),(61,1),(65,1),(68,1),(109,1),(115,1),(117,1),(118,1),(119,1),(120,1),(128,1),(161,1),(169,1),(174,1),(175,1),(176,1),(178,1),(201,1),(203,1),(204,1)}
        89:{3,5,7}:{(61,1),(62,1),(116,1),(120,1)}
        90:{3,4,6,7}:{(62,1),(70,1),(111,1),(120,1),(121,1),(127,1),(168,1),(173,1),(177,1),(179,1),(202,1)}
        91:{1,2,5}:{(63,1),(71,1),(112,1),(122,1)}
        92:{1,2,5}:{(64,1),(72,1),(123,1),(204,1)}
        93:{3,5}:{(65,1),(73,1),(124,1)}
        94:{1,2,7}:{(66,1),(71,1),(125,1)}
        95:{1,2,4,7}:{(67,1),(72,1),(118,1),(126,1),(176,1),(195,1)}
        96:{3,7}:{(68,1),(73,1)}
        97:{1,4,7}:{(69,1),(74,1),(120,1),(127,1)}
        98:{1,5,7}:{(70,1),(121,1),(129,1),(204,1)}
        99:{2,3,6}:{(71,1),(73,1),(122,1),(125,1),(130,1)}
       100:{1,3,6}:{(72,1),(73,1),(123,1),(126,1)}
       101:{3,4,6}:{(73,1),(74,1),(124,1),(127,1),(130,1),(131,1),(179,1)}
       102:{1,4,5}:{(74,1),(131,1),(174,1),(204,1)}
       103:{3,4,5}:{(75,1),(132,1),(133,1),(183,1)}
       104:{1,4,6}:{(75,1),(76,1),(78,1),(132,1),(147,1)}
       105:{2,4,6}:{(75,1),(77,1),(79,1),(133,1),(135,1)}
       106:{1,2,5,6}:{(76,1),(77,1),(80,1),(136,1),(137,1),(144,1),(181,1),(208,1),(209,1)}
       107:{1,3,4,7}:{(78,1),(82,1),(86,1),(134,1),(138,1),(140,1),(150,1),(188,1)}
       108:{2,3,7}:{(79,1),(135,1),(139,1),(140,1)}
       109:{1,2,4,7}:{(78,1),(79,1),(80,1),(136,1),(139,1),(140,1),(141,1),(188,1)}
       110:{2,3,5,7}:{(80,1),(81,1),(89,1),(137,1),(140,1),(141,1),(142,1),(189,1)}
       111:{2,4,6,7}:{(81,1),(90,1),(141,1),(142,1),(155,1),(190,1),(191,1),(194,1)}
       112:{1,2,4}:{(82,1),(91,1),(143,1),(153,1)}
       113:{1,3,6}:{(83,1),(86,1),(144,1),(146,1),(209,1)}
       114:{2,3,6}:{(84,1),(87,1),(145,1),(146,1),(194,1)}
       115:{1,2,4,6}:{(83,1),(84,1),(85,1),(88,1),(144,1),(145,1),(146,1),(147,1),(157,1),(190,1),(191,1),(192,1),(194,1),(209,1)}
       116:{3,5,6}:{(85,1),(89,1),(146,1),(147,1),(193,1)}
       117:{1,2,5,7}:{(86,1),(91,1),(94,1),(138,1),(144,1),(148,1),(181,1)}
       118:{1,2,5,7}:{(87,1),(92,1),(95,1),(139,1),(145,1),(149,1),(182,1)}
       119:{3,5,7}:{(88,1),(93,1),(96,1),(140,1),(146,1),(150,1),(183,1),(193,1)}
       120:{4,7}:{(89,1),(147,1)}
       121:{3,5,7}:{(90,1),(98,1),(142,1),(151,1),(152,1),(193,1)}
       122:{2,3,5}:{(91,1),(93,1),(99,1),(143,1),(153,1),(158,1)}
       123:{1,3,5}:{(92,1),(93,1),(100,1),(154,1)}
       124:{3,4}:{(93,1),(153,1),(154,1)}
       125:{2,3,7}:{(94,1),(96,1),(99,1),(155,1)}
       126:{1,3,7}:{(95,1),(96,1),(100,1),(205,1)}
       127:{3,4,7}:{(96,1),(97,1),(101,1),(155,1),(156,1)}
       128:{1,4,5,7}:{(97,1),(98,1),(102,1),(151,1),(156,1),(157,1)}
       129:{1,5,6}:{(98,1),(152,1),(157,1),(209,1)}
       130:{2,4,6}:{(99,1),(101,1),(153,1),(155,1),(158,1),(194,1)}
       131:{3,5}:{(101,1),(102,1),(158,1)}
       132:{1,4,5}:{(103,1),(104,1),(159,1),(174,1)}
       133:{2,4,5}:{(103,1),(105,1),(160,1)}
       134:{1,3,4,6}:{(104,1),(107,1),(113,1),(159,1),(162,1),(164,1),(173,1),(198,1),(199,1)}
       135:{2,3,6}:{(105,1),(108,1),(160,1),(163,1),(164,1)}
       136:{1,2,4,6}:{(104,1),(105,1),(106,1),(109,1),(161,1),(163,1),(164,1),(165,1),(199,1)}
       137:{2,3,5,6}:{(106,1),(110,1),(116,1),(164,1),(165,1),(170,1),(171,1),(196,1),(200,1),(202,1),(203,1)}
       138:{1,2,4,7}:{(107,1),(112,1),(117,1),(162,1),(166,1),(175,1)}
       139:{1,2,7}:{(108,1),(163,1),(167,1)}
       140:{3,7}:{(109,1),(164,1)}
       141:{2,4,7}:{(110,1),(120,1),(165,1),(168,1)}
       142:{2,5,7}:{(111,1),(121,1),(170,1),(203,1)}
       143:{2,3}:{(112,1)}
       144:{1,2,6}:{(113,1),(117,1),(171,1)}
       145:{1,2,6}:{(114,1),(118,1),(172,1)}
       146:{3,6}:{(115,1),(119,1)}
       147:{4,6}:{(116,1),(120,1),(174,1)}
       148:{2,3,5,7}:{(117,1),(119,1),(122,1),(125,1),(166,1),(171,1),(175,1),(178,1),(196,1),(203,1)}
       149:{1,3,5,7}:{(118,1),(119,1),(123,1),(126,1),(167,1),(172,1),(176,1),(197,1),(201,1),(204,1)}
       150:{3,4,7}:{(119,1),(120,1),(124,1),(173,1),(175,1),(176,1),(198,1)}
       151:{4,5,7}:{(120,1),(121,1),(174,1),(177,1)}
       152:{3,5,6}:{(121,1),(129,1),(170,1),(177,1),(179,1),(202,1)}
       153:{2,4}:{(122,1),(124,1)}
       154:{1,4}:{(123,1),(124,1)}
       155:{2,4,7}:{(125,1),(127,1),(130,1),(178,1)}
       156:{3,5,7}:{(127,1),(128,1),(131,1),(178,1),(179,1)}
       157:{1,4,6}:{(128,1),(129,1),(177,1),(179,1)}
       158:{2,5}:{(130,1),(131,1)}
       159:{1,3,5}:{(132,1),(134,1),(181,1),(183,1),(193,1),(208,1)}
       160:{2,3,5}:{(133,1),(135,1),(180,1),(182,1),(183,1)}
       161:{1,2,4,5}:{(132,1),(133,1),(136,1),(181,1),(182,1),(183,1),(187,1),(206,1),(207,1),(208,1)}
       162:{1,2,4,6}:{(134,1),(138,1),(144,1),(181,1),(184,1),(191,1),(206,1)}
       163:{1,2,6}:{(135,1),(139,1),(182,1),(185,1)}
       164:{3,6}:{(136,1),(140,1),(183,1)}
       165:{2,4,6}:{(137,1),(141,1),(147,1),(186,1),(187,1),(206,1)}
       166:{2,3,7}:{(138,1),(140,1),(143,1),(184,1)}
       167:{1,3,7}:{(139,1),(140,1),(185,1),(188,1)}
       168:{3,4,7}:{(140,1),(141,1),(186,1),(188,1),(189,1)}
       169:{2,4,5,7}:{(141,1),(142,1),(151,1),(187,1),(189,1),(190,1)}
       170:{2,5,6}:{(142,1),(152,1),(190,1),(194,1)}
       171:{2,3,6}:{(144,1),(146,1),(148,1),(191,1),(194,1)}
       172:{1,3,6}:{(145,1),(146,1),(149,1),(192,1),(209,1)}
       173:{3,4,6}:{(146,1),(147,1),(150,1),(191,1),(192,1),(193,1)}
       174:{4,5}:{(147,1),(193,1)}
       175:{2,4,7}:{(148,1),(150,1),(153,1),(191,1),(206,1)}
       176:{1,4,7}:{(149,1),(150,1),(154,1),(192,1),(207,1)}
       177:{4,6}:{(151,1),(152,1)}
       178:{2,5,7}:{(155,1),(156,1),(158,1),(194,1)}
       179:{3,6}:{(156,1),(157,1),(194,1)}
       180:{2,3,4}:{(160,1),(195,1),(198,1)}
       181:{1,2,5}:{(159,1),(162,1),(196,1),(203,1)}
       182:{1,2,5}:{(160,1),(163,1),(195,1),(197,1)}
       183:{3,5}:{(161,1),(164,1),(198,1)}
       184:{2,3,6}:{(162,1),(164,1),(166,1),(196,1)}
       185:{1,3,6}:{(163,1),(164,1),(167,1),(197,1),(199,1)}
       186:{3,4,6}:{(164,1),(165,1),(168,1),(198,1),(199,1),(200,1),(202,1)}
       187:{2,4,5}:{(165,1),(174,1),(200,1),(203,1)}
       188:{1,4,7}:{(167,1),(168,1),(199,1),(201,1)}
       189:{3,5,7}:{(168,1),(169,1),(200,1),(201,1),(202,1)}
       190:{2,4,6}:{(169,1),(170,1),(177,1),(202,1)}
       191:{2,4,6}:{(171,1),(173,1),(175,1),(203,1)}
       192:{1,4,6}:{(172,1),(173,1),(176,1),(204,1)}
       193:{3,5}:{(173,1),(174,1),(203,1),(204,1)}
       194:{2,6}:{(178,1),(179,1)}
       195:{1,2,4}:{(180,1),(182,1),(205,1),(207,1)}
       196:{2,3,5}:{(181,1),(183,1),(184,1),(206,1)}
       197:{1,3,5}:{(182,1),(183,1),(185,1),(205,1),(207,1),(208,1)}
       198:{3,4}:{(183,1),(206,1),(207,1)}
       199:{1,4,6}:{(185,1),(186,1),(188,1),(207,1),(208,1),(209,1)}
       200:{3,5}:{(186,1),(187,1),(208,1)}
       201:{1,5,7}:{(188,1),(189,1),(208,1),(209,1)}
       202:{3,6}:{(189,1),(190,1),(209,1)}
       203:{2,5}:{(191,1),(193,1)}
       204:{1,5}:{(192,1),(193,1)}
       205:{1,3}:{(195,1)}
       206:{2,4}:{(196,1),(198,1)}
       207:{1,4}:{(197,1),(198,1)}
       208:{1,5}:{(199,1),(200,1)}
       209:{1,6}:{(201,1),(202,1)}

 535 :   0:{2,3,5,7}:{(2,1),(3,1),(4,1),(5,1),(18,1),(22,1),(48,1)}
         1:{2,4,5,7}:{(3,1),(5,1),(6,1),(22,1),(24,1),(50,1),(52,1)}
         2:{1,2,5,7}:{(0,1),(7,1),(8,1),(9,1),(13,1),(33,1),(55,1)}
         3:{2,4,7}:{(0,1),(10,1),(11,1),(63,1),(88,1)}
         4:{2,3,6}:{(0,1),(9,1),(11,1),(14,1),(32,1),(100,1)}
         5:{3,5,7}:{(1,1),(10,1),(13,1),(14,1),(35,1)}
         6:{2,4,6}:{(1,1),(14,1),(15,1),(39,1)}
         7:{1,3,5,7}:{(2,1),(16,1),(17,1),(18,1),(40,1),(44,1),(48,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(16,1),(18,1),(19,1),(20,1),(42,1),(45,1)}
         9:{1,2,6}:{(2,1),(4,1),(17,1),(25,1),(69,1),(103,1)}
        10:{3,4,7}:{(3,1),(5,1),(18,1),(20,1),(21,1),(52,1),(77,1)}
        11:{2,4,6}:{(3,1),(4,1),(21,1),(22,1),(78,1),(94,1)}
        12:{2,4,6,7}:{(6,1),(23,1),(24,1),(52,1)}
        13:{1,5,7}:{(5,1),(20,1),(25,1),(49,1)}
        14:{3,6}:{(5,1),(6,1),(25,1)}
        15:{2,5,6}:{(6,1),(22,1),(24,1),(26,1),(78,1)}
        16:{1,4,7}:{(7,1),(28,1),(29,1),(63,1),(104,1)}
        17:{1,3,6}:{(7,1),(9,1),(29,1),(32,1),(56,1),(99,1)}
        18:{3,7}:{(8,1),(32,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(11,1),(29,1),(32,1),(33,1),(34,1),(58,1),(60,1),(63,1),(84,1)}
        20:{1,4,7}:{(10,1),(13,1),(30,1),(34,1)}
        21:{3,4,6}:{(10,1),(11,1),(14,1),(32,1),(34,1),(35,1),(39,1),(63,1),(66,1),(85,1)}
        22:{2,5}:{(11,1),(35,1)}
        23:{3,6,7}:{(12,1),(14,1),(36,1),(37,1)}
        24:{2,5,7}:{(12,1),(15,1),(37,1),(88,1)}
        25:{1,6}:{(13,1),(14,1)}
        26:{3,5,6}:{(14,1),(15,1),(35,1),(37,1),(38,1),(39,1),(66,1)}
        27:{1,4,5,7}:{(16,1),(40,1),(41,1),(44,1),(68,1),(72,1),(90,1)}
        28:{3,4,7}:{(16,1),(18,1),(40,1),(42,1),(43,1),(90,1),(101,1)}
        29:{1,4,6}:{(16,1),(17,1),(43,1),(44,1),(95,1),(102,1)}
        30:{1,3,7}:{(18,1),(20,1),(45,1),(46,1),(77,1)}
        31:{2,3,7}:{(18,1),(42,1),(45,1),(47,1),(101,1)}
        32:{3,6}:{(18,1),(19,1),(48,1),(93,1)}
        33:{1,2,5}:{(19,1),(22,1),(44,1),(48,1),(49,1),(71,1)}
        34:{1,4,6}:{(20,1),(21,1),(25,1),(46,1),(49,1),(74,1)}
        35:{3,5}:{(21,1),(22,1),(49,1),(50,1)}
        36:{1,6,7}:{(23,1),(25,1),(51,1)}
        37:{3,5,7}:{(23,1),(24,1),(26,1),(51,1),(52,1),(77,1)}
        38:{1,5,6}:{(25,1),(26,1),(49,1),(51,1),(53,1)}
        39:{4,6}:{(26,1),(50,1),(52,1)}
        40:{3,5,7}:{(27,1),(28,1),(55,1),(56,1),(59,1)}
        41:{1,4,6}:{(27,1),(56,1),(57,1),(82,1)}
        42:{2,4,7}:{(28,1),(31,1),(55,1),(58,1)}
        43:{3,4,6}:{(28,1),(29,1),(32,1),(56,1),(58,1),(59,1),(63,1),(82,1),(86,1),(97,1)}
        44:{1,5}:{(29,1),(59,1)}
        45:{1,2,7}:{(30,1),(31,1),(60,1),(88,1),(104,1)}
        46:{1,3,6}:{(30,1),(32,1),(34,1),(60,1),(61,1),(66,1)}
        47:{2,3,6}:{(31,1),(32,1),(58,1),(60,1),(62,1),(97,1)}
        48:{3,5}:{(32,1),(33,1),(63,1)}
        49:{1,5}:{(34,1),(35,1)}
        50:{4,5}:{(35,1),(39,1),(63,1)}
        51:{1,5,7}:{(36,1),(37,1),(38,1),(65,1)}
        52:{4,7}:{(37,1),(39,1)}
        53:{1,4,6}:{(38,1),(39,1),(64,1),(65,1),(66,1)}
        54:{1,4,6,7}:{(41,1),(67,1),(68,1),(90,1)}
        55:{2,5,7}:{(40,1),(42,1),(69,1),(71,1)}
        56:{3,6}:{(40,1),(41,1),(69,1)}
        57:{1,5,6}:{(41,1),(44,1),(68,1),(70,1),(102,1)}
        58:{2,4,6}:{(42,1),(43,1),(47,1),(69,1),(71,1),(75,1)}
        59:{3,5}:{(43,1),(44,1),(71,1),(72,1)}
        60:{1,2,6}:{(45,1),(46,1),(47,1),(73,1),(78,1),(102,1)}
        61:{1,3,5}:{(46,1),(48,1),(49,1),(73,1),(74,1),(76,1),(93,1)}
        62:{2,3,5}:{(47,1),(48,1),(71,1),(73,1),(75,1),(92,1),(93,1)}
        63:{4}:{(48,1)}
        64:{1,4,5}:{(49,1),(50,1),(53,1),(74,1),(76,1)}
        65:{1,4,7}:{(51,1),(52,1),(53,1),(77,1)}
        66:{3,6}:{(53,1),(76,1),(77,1),(78,1)}
        67:{3,6,7}:{(54,1),(56,1),(79,1),(80,1)}
        68:{1,5,7}:{(54,1),(57,1),(80,1),(104,1)}
        69:{2,6}:{(55,1),(56,1)}
        70:{3,5,6}:{(56,1),(57,1),(59,1),(80,1),(81,1),(82,1),(97,1)}
        71:{2,5}:{(58,1),(59,1)}
        72:{4,5}:{(59,1),(63,1),(82,1)}
        73:{1,2,5}:{(60,1),(61,1),(62,1),(84,1),(87,1),(98,1)}
        74:{1,4}:{(61,1),(63,1),(85,1)}
        75:{2,4}:{(62,1),(63,1),(86,1)}
        76:{3,5}:{(64,1),(66,1),(85,1),(87,1)}
        77:{3,7}:{(65,1),(66,1),(88,1)}
        78:{2,6}:{(66,1),(87,1),(88,1)}
        79:{2,6,7}:{(67,1),(69,1),(89,1)}
        80:{3,5,7}:{(67,1),(68,1),(70,1),(89,1),(90,1),(101,1)}
        81:{2,5,6}:{(69,1),(70,1),(71,1),(89,1),(91,1)}
        82:{4,6}:{(70,1),(72,1),(90,1)}
        83:{2,4,5}:{(71,1),(72,1),(75,1),(91,1),(92,1)}
        84:{1,2,4}:{(73,1),(74,1),(75,1),(93,1),(94,1),(95,1),(103,1)}
        85:{3,4}:{(74,1),(76,1),(93,1),(94,1)}
        86:{3,4}:{(75,1),(92,1),(93,1),(95,1)}
        87:{2,5}:{(76,1),(78,1),(94,1)}
        88:{2,7}:{(77,1),(78,1)}
        89:{2,5,7}:{(79,1),(80,1),(81,1),(96,1)}
        90:{4,7}:{(80,1),(82,1)}
        91:{2,4,6}:{(81,1),(82,1),(83,1),(96,1),(97,1)}
        92:{3,5}:{(83,1),(86,1),(97,1),(98,1)}
        93:{3}:{(84,1)}
        94:{2,4}:{(85,1),(87,1),(100,1)}
        95:{1,4}:{(86,1),(98,1),(99,1)}
        96:{2,4,7}:{(89,1),(90,1),(91,1),(101,1)}
        97:{3,6}:{(91,1),(92,1),(101,1),(102,1)}
        98:{1,5}:{(92,1),(95,1),(102,1)}
        99:{1,3}:{(93,1),(95,1),(103,1)}
       100:{2,3}:{(93,1),(94,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{1,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{1,7}:{(101,1),(102,1)}

 536 :  0:{1,2,6,7}:{(3,1),(5,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(38,1),(39,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(17,1),(20,1),(21,1),(25,1),(38,1),(39,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{3,5,6}:{(1,1),(9,1),(10,1),(13,1),(26,1),(28,1),(45,1)}
        5:{1,2,5,7}:{(0,1),(1,1),(9,1),(12,1),(46,1),(47,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(30,1),(31,1),(35,1)}
        7:{3,5}:{(2,1),(11,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(18,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(18,1),(22,1)}
       10:{4,6}:{(4,1),(17,1),(18,1)}
       11:{3,4}:{(7,1),(20,1),(21,1),(43,1)}
       12:{1,2,4,7}:{(5,1),(6,1),(18,1),(22,1),(40,1),(41,1),(44,1)}
       13:{3,6}:{(6,1),(7,1),(22,1)}
       14:{1,3,5}:{(7,1),(20,1),(23,1),(25,1),(38,1),(43,1),(54,1)}
       15:{2,3,5}:{(7,1),(21,1),(24,1),(25,1),(39,1),(43,1),(54,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,5}:{(10,1),(28,1),(58,1)}
       18:{4,7}:{(9,1),(10,1)}
       19:{3,4,6}:{(10,1),(11,1),(13,1),(28,1),(29,1),(30,1),(31,1),(45,1),(50,1),(58,1),(61,1)}
       20:{1,4}:{(11,1),(14,1),(58,1)}
       21:{2,4}:{(11,1),(15,1),(58,1)}
       22:{3,7}:{(12,1),(13,1)}
       23:{1,3,6}:{(13,1),(14,1),(30,1),(33,1),(35,1),(50,1)}
       24:{2,3,6}:{(13,1),(15,1),(31,1),(34,1),(35,1),(50,1)}
       25:{1,2,5}:{(14,1),(15,1),(32,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(18,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,5}:{(17,1),(19,1),(38,1),(39,1),(62,1)}
       29:{3,4,7}:{(18,1),(19,1),(22,1),(37,1),(40,1),(41,1),(55,1),(60,1)}
       30:{1,4,6}:{(19,1),(20,1),(23,1),(38,1),(40,1),(51,1)}
       31:{2,4,6}:{(19,1),(21,1),(24,1),(39,1),(41,1),(52,1)}
       32:{1,2,4}:{(20,1),(21,1),(25,1),(43,1)}
       33:{1,3,7}:{(22,1),(23,1),(40,1),(44,1),(55,1)}
       34:{2,3,7}:{(22,1),(24,1),(41,1),(44,1),(55,1)}
       35:{1,2,6}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(45,1),(46,1),(47,1)}
       38:{1,5}:{(28,1),(30,1)}
       39:{2,5}:{(28,1),(31,1)}
       40:{1,4,7}:{(29,1),(30,1),(33,1),(46,1)}
       41:{2,4,7}:{(29,1),(31,1),(34,1),(47,1)}
       42:{1,2,4,6}:{(30,1),(31,1),(32,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       43:{3}:{(32,1)}
       44:{1,2,7}:{(33,1),(34,1),(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(40,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(41,1),(52,1)}
       48:{1,2,5}:{(38,1),(39,1),(42,1),(54,1),(62,1)}
       49:{1,2,4,7}:{(40,1),(41,1),(42,1),(44,1),(53,1),(55,1),(60,1)}
       50:{3,6}:{(42,1),(43,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,5}:{(48,1),(50,1),(58,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(54,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

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

 538 :   0:{1,4,5,6}:{(2,1),(3,1),(20,1),(78,1),(80,1)}
         1:{1,3,4,6}:{(5,1),(6,1),(7,1),(20,1),(35,1),(60,1),(75,1),(108,1),(127,1)}
         2:{3,5,6}:{(0,1),(8,1),(10,1),(11,1)}
         3:{1,4,5,7}:{(0,1),(11,1),(12,1),(39,1),(89,1),(91,1)}
         4:{3,4,5}:{(8,1),(13,1),(14,1),(50,1)}
         5:{1,3,5}:{(1,1),(13,1),(16,1),(50,1),(131,1),(150,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(19,1),(55,1),(57,1),(107,1)}
         7:{1,3,4,7}:{(1,1),(17,1),(19,1),(39,1),(87,1),(103,1),(132,1),(201,1)}
         8:{3,4,6}:{(2,1),(4,1),(20,1),(21,1),(22,1),(60,1)}
         9:{1,3,5,6}:{(2,1),(5,1),(20,1),(23,1),(24,1),(35,1),(60,1),(78,1),(128,1)}
        10:{2,5,6}:{(2,1),(21,1),(25,1)}
        11:{3,5,7}:{(2,1),(3,1),(22,1),(25,1),(26,1)}
        12:{1,4,6,7}:{(3,1),(26,1),(27,1),(69,1)}
        13:{1,4,5}:{(4,1),(5,1),(20,1),(170,1)}
        14:{2,4,5}:{(4,1),(21,1),(28,1)}
        15:{3,4,5,7}:{(4,1),(22,1),(30,1),(31,1),(32,1),(64,1),(76,1),(157,1),(160,1),(165,1),(170,1)}
        16:{1,2,5}:{(5,1),(6,1),(33,1),(130,1)}
        17:{1,3,5,7}:{(5,1),(7,1),(30,1),(34,1),(35,1),(76,1),(153,1),(188,1),(192,1)}
        18:{2,3,6}:{(6,1),(33,1),(36,1),(60,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(34,1),(36,1),(81,1),(207,1)}
        20:{1,4,6}:{(8,1),(9,1),(13,1),(39,1),(151,1)}
        21:{2,4,6}:{(8,1),(10,1),(14,1),(37,1),(40,1)}
        22:{3,4,7}:{(8,1),(11,1),(39,1),(40,1),(87,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(16,1),(38,1),(42,1),(43,1),(57,1),(131,1),(171,1)}
        24:{1,3,5,7}:{(9,1),(11,1),(39,1),(43,1),(44,1),(87,1),(89,1),(138,1)}
        25:{2,5,7}:{(10,1),(11,1),(40,1),(45,1)}
        26:{3,6,7}:{(11,1),(12,1),(45,1)}
        27:{1,5,6,7}:{(12,1),(46,1),(89,1),(142,1)}
        28:{2,3,5}:{(14,1),(37,1),(47,1),(48,1),(50,1)}
        29:{1,2,4,5}:{(13,1),(14,1),(16,1),(38,1),(48,1),(50,1),(55,1),(92,1),(99,1),(131,1)}
        30:{1,4,5,7}:{(13,1),(15,1),(17,1),(39,1),(52,1),(89,1),(175,1),(180,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(40,1),(49,1),(53,1),(90,1),(135,1),(145,1)}
        32:{3,4,6}:{(15,1),(52,1),(53,1),(54,1),(104,1),(151,1)}
        33:{2,3,5}:{(16,1),(18,1),(50,1),(55,1)}
        34:{1,2,5,7}:{(16,1),(17,1),(19,1),(56,1),(57,1),(200,1),(203,1)}
        35:{1,3,6}:{(17,1),(52,1),(57,1),(104,1),(171,1)}
        36:{2,3,7}:{(18,1),(19,1),(87,1),(209,1)}
        37:{2,3,6}:{(21,1),(28,1),(58,1),(59,1),(60,1)}
        38:{1,2,4,6}:{(20,1),(21,1),(23,1),(29,1),(58,1),(60,1),(61,1),(65,1),(108,1)}
        39:{1,4,7}:{(20,1),(22,1),(24,1),(160,1)}
        40:{2,4,7}:{(21,1),(22,1),(25,1),(59,1)}
        41:{3,4,6,7}:{(22,1),(26,1),(32,1),(62,1),(63,1),(64,1),(69,1),(114,1),(119,1),(157,1),(160,1)}
        42:{2,3,5,6}:{(23,1),(33,1),(60,1),(65,1),(66,1),(82,1),(112,1),(128,1),(130,1),(158,1),(162,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(25,1),(61,1),(66,1),(67,1),(153,1)}
        44:{1,3,6,7}:{(24,1),(26,1),(35,1),(62,1),(67,1),(114,1),(188,1)}
        45:{2,6,7}:{(25,1),(26,1)}
        46:{3,5,6,7}:{(26,1),(27,1),(64,1),(68,1),(69,1),(119,1)}
        47:{2,3,4}:{(28,1),(70,1),(75,1)}
        48:{1,2,5}:{(28,1),(58,1),(70,1),(72,1)}
        49:{2,3,5,7}:{(28,1),(31,1),(59,1),(71,1),(73,1),(74,1),(76,1),(122,1),(206,1)}
        50:{3,5}:{(29,1),(60,1),(75,1)}
        51:{1,2,4,5,7}:{(29,1),(30,1),(31,1),(34,1),(61,1),(73,1),(76,1),(77,1),(81,1),(115,1),(117,1),(123,1),(130,1),(153,1),(156,1),(160,1),(164,1),(166,1),(170,1),(186,1),(206,1)}
        52:{1,4,6}:{(30,1),(32,1),(35,1),(78,1)}
        53:{2,4,6}:{(31,1),(32,1),(74,1),(79,1)}
        54:{3,5,6}:{(32,1),(64,1),(78,1),(79,1),(80,1)}
        55:{2,4}:{(33,1),(75,1)}
        56:{2,3,5,7}:{(33,1),(34,1),(36,1),(76,1),(81,1),(82,1),(130,1),(189,1),(193,1),(206,1)}
        57:{1,2,6}:{(34,1),(35,1),(82,1)}
        58:{1,2,6}:{(37,1),(48,1),(83,1),(84,1)}
        59:{2,3,7}:{(37,1),(40,1),(84,1),(87,1)}
        60:{3,6}:{(38,1),(50,1),(87,1)}
        61:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(84,1),(87,1),(93,1),(132,1)}
        62:{1,4,6,7}:{(39,1),(41,1),(44,1),(52,1),(89,1),(142,1),(175,1)}
        63:{2,4,6,7}:{(40,1),(41,1),(45,1),(53,1),(85,1),(90,1),(135,1)}
        64:{3,5,7}:{(41,1),(54,1),(89,1),(90,1),(91,1)}
        65:{2,4,6}:{(42,1),(55,1),(86,1),(92,1),(93,1),(151,1)}
        66:{2,3,5,7}:{(42,1),(43,1),(87,1),(93,1),(94,1),(136,1),(138,1),(141,1)}
        67:{1,2,6,7}:{(43,1),(44,1),(45,1),(57,1),(94,1),(171,1),(200,1)}
        68:{2,5,6,7}:{(45,1),(46,1),(90,1),(95,1)}
        69:{4,6,7}:{(46,1),(91,1)}
        70:{1,2,4}:{(47,1),(48,1),(96,1),(99,1)}
        71:{2,3,4,7}:{(47,1),(49,1),(97,1),(98,1),(103,1),(135,1),(174,1),(199,1)}
        72:{1,3,5}:{(48,1),(50,1),(83,1),(96,1),(99,1),(131,1)}
        73:{1,2,5,7}:{(48,1),(49,1),(84,1),(97,1),(100,1),(101,1),(144,1)}
        74:{2,3,6}:{(49,1),(53,1),(101,1),(104,1),(208,1)}
        75:{3,4}:{(50,1),(55,1),(99,1)}
        76:{3,5,7}:{(50,1),(51,1),(87,1),(103,1),(104,1),(150,1),(174,1),(179,1)}
        77:{1,2,4,6}:{(51,1),(52,1),(53,1),(57,1),(101,1),(104,1),(105,1),(107,1),(140,1),(146,1),(151,1),(171,1),(197,1),(208,1)}
        78:{1,5,6}:{(52,1),(54,1),(89,1)}
        79:{2,5,6}:{(53,1),(54,1),(90,1)}
        80:{4,5,6}:{(54,1),(91,1),(151,1)}
        81:{2,4,7}:{(55,1),(56,1),(103,1),(107,1),(202,1)}
        82:{2,3,6}:{(56,1),(57,1),(104,1),(107,1),(208,1)}
        83:{1,3,6}:{(58,1),(60,1),(72,1),(108,1),(109,1)}
        84:{1,2,7}:{(58,1),(59,1),(109,1)}
        85:{2,3,6,7}:{(59,1),(63,1),(74,1),(110,1),(111,1),(114,1),(119,1)}
        86:{3,4,6}:{(60,1),(65,1),(75,1),(108,1),(112,1),(113,1),(158,1)}
        87:{3,7}:{(60,1),(61,1)}
        88:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(67,1),(77,1),(110,1),(114,1),(115,1),(118,1),(154,1),(156,1),(160,1)}
        89:{1,5,7}:{(62,1),(64,1),(78,1)}
        90:{2,5,7}:{(63,1),(64,1),(79,1)}
        91:{4,5,7}:{(64,1),(69,1),(80,1),(160,1)}
        92:{2,4,5}:{(65,1),(112,1),(130,1),(170,1)}
        93:{2,4,7}:{(65,1),(66,1),(113,1),(160,1)}
        94:{2,3,6,7}:{(66,1),(67,1),(82,1),(114,1),(118,1),(158,1),(189,1)}
        95:{2,4,6,7}:{(68,1),(69,1),(116,1),(119,1)}
        96:{1,3}:{(70,1)}
        97:{1,2,4,7}:{(70,1),(71,1),(73,1),(120,1),(121,1),(123,1)}
        98:{2,3,4,6}:{(71,1),(74,1),(121,1),(122,1),(126,1),(127,1),(168,1),(191,1),(195,1)}
        99:{1,4}:{(72,1),(75,1)}
       100:{1,3,5,7}:{(72,1),(73,1),(76,1),(109,1),(120,1),(123,1),(124,1),(153,1),(163,1),(166,1)}
       101:{1,2,6}:{(73,1),(74,1),(124,1)}
       102:{2,3,5,6}:{(74,1),(79,1),(111,1),(122,1),(125,1),(126,1),(128,1),(129,1),(168,1)}
       103:{3,4,7}:{(75,1),(76,1),(81,1),(123,1),(127,1),(160,1),(191,1)}
       104:{3,6}:{(76,1),(77,1)}
       105:{1,2,5,6}:{(77,1),(78,1),(79,1),(115,1),(128,1),(130,1),(162,1),(166,1),(185,1)}
       106:{2,4,5,6}:{(79,1),(80,1),(116,1),(126,1),(129,1)}
       107:{2,4,6}:{(81,1),(82,1),(127,1),(130,1)}
       108:{1,4,6}:{(83,1),(86,1),(99,1),(131,1),(132,1),(171,1)}
       109:{1,3,7}:{(83,1),(84,1),(87,1),(132,1)}
       110:{1,2,6,7}:{(84,1),(85,1),(101,1),(133,1),(134,1),(142,1),(208,1)}
       111:{2,3,5,7}:{(85,1),(90,1),(102,1),(134,1),(135,1),(138,1),(139,1),(174,1)}
       112:{3,5}:{(86,1),(92,1),(131,1)}
       113:{3,4,7}:{(86,1),(87,1),(93,1),(132,1),(136,1)}
       114:{3,6,7}:{(87,1),(88,1),(104,1),(138,1),(174,1)}
       115:{1,2,5,7}:{(88,1),(89,1),(90,1),(105,1),(138,1),(141,1),(172,1)}
       116:{2,4,5,7}:{(90,1),(91,1),(95,1),(106,1),(135,1),(139,1)}
       117:{2,4,5,7}:{(92,1),(93,1),(136,1),(140,1),(141,1),(177,1)}
       118:{2,4,6,7}:{(93,1),(94,1),(107,1),(137,1),(140,1),(141,1),(199,1),(208,1)}
       119:{3,6,7}:{(95,1),(139,1),(142,1)}
       120:{1,3,7}:{(96,1),(97,1),(143,1),(174,1)}
       121:{1,2,4,6}:{(97,1),(98,1),(101,1),(143,1),(144,1),(146,1),(178,1)}
       122:{2,3,5}:{(98,1),(144,1),(145,1),(150,1),(179,1),(204,1)}
       123:{1,4,7}:{(99,1),(100,1),(103,1),(146,1),(178,1)}
       124:{1,3,6}:{(100,1),(101,1),(104,1),(146,1),(171,1)}
       125:{1,2,5,6}:{(101,1),(102,1),(134,1),(144,1),(147,1),(148,1),(152,1),(204,1),(208,1)}
       126:{2,4,6}:{(102,1),(135,1),(145,1),(149,1),(151,1)}
       127:{3,4,6}:{(103,1),(104,1),(107,1),(146,1),(150,1),(151,1)}
       128:{3,5,6}:{(104,1),(105,1),(138,1),(150,1),(151,1)}
       129:{3,5,6}:{(106,1),(139,1),(149,1),(152,1)}
       130:{2,5}:{(107,1),(150,1)}
       131:{1,5}:{(108,1),(112,1)}
       132:{1,4,7}:{(108,1),(109,1),(113,1),(153,1)}
       133:{1,3,6,7}:{(109,1),(110,1),(114,1),(124,1),(154,1),(155,1),(205,1)}
       134:{1,2,5,7}:{(110,1),(111,1),(125,1),(155,1),(156,1),(161,1),(206,1)}
       135:{2,4,7}:{(111,1),(126,1),(157,1),(160,1)}
       136:{3,5,7}:{(112,1),(113,1),(117,1),(153,1),(158,1)}
       137:{3,4,6,7}:{(113,1),(114,1),(118,1),(127,1),(154,1),(158,1),(159,1),(160,1),(187,1),(190,1),(205,1)}
       138:{3,5,7}:{(114,1),(115,1),(128,1),(160,1)}
       139:{3,5,7}:{(116,1),(119,1),(129,1),(157,1),(161,1)}
       140:{2,4,6}:{(117,1),(158,1),(162,1),(190,1)}
       141:{2,5,7}:{(118,1),(130,1),(159,1),(162,1)}
       142:{1,6,7}:{(119,1),(161,1)}
       143:{1,3,6}:{(120,1),(121,1),(163,1),(168,1)}
       144:{1,2,5}:{(121,1),(122,1),(163,1),(166,1)}
       145:{2,4,5}:{(122,1),(126,1),(165,1),(170,1)}
       146:{1,4,6}:{(123,1),(124,1),(127,1),(166,1)}
       147:{1,3,5,6}:{(124,1),(125,1),(128,1),(155,1),(163,1),(166,1),(167,1),(168,1),(185,1),(194,1),(205,1)}
       148:{1,2,4,6}:{(125,1),(126,1),(156,1),(164,1),(167,1),(168,1),(169,1),(195,1),(196,1)}
       149:{3,4,6}:{(126,1),(129,1),(157,1),(165,1),(168,1),(169,1)}
       150:{3,5}:{(127,1),(130,1),(166,1),(170,1)}
       151:{4,6}:{(128,1),(160,1),(170,1)}
       152:{1,5,6}:{(129,1),(161,1),(169,1)}
       153:{1,5,7}:{(131,1),(132,1),(136,1),(171,1)}
       154:{1,4,6,7}:{(132,1),(133,1),(137,1),(146,1),(171,1),(172,1),(173,1),(197,1)}
       155:{1,3,5,7}:{(133,1),(134,1),(138,1),(147,1),(172,1),(173,1),(174,1),(198,1)}
       156:{1,2,4,7}:{(134,1),(135,1),(148,1),(173,1),(174,1),(175,1),(199,1),(200,1)}
       157:{3,4,7}:{(135,1),(139,1),(149,1),(174,1),(175,1)}
       158:{3,6}:{(136,1),(140,1),(171,1)}
       159:{3,5,7}:{(137,1),(141,1),(150,1),(172,1),(176,1),(177,1)}
       160:{4,7}:{(138,1),(151,1)}
       161:{1,5,7}:{(139,1),(142,1),(152,1),(175,1)}
       162:{2,5,6}:{(140,1),(141,1),(176,1),(208,1)}
       163:{1,3,5}:{(143,1),(144,1),(178,1),(179,1)}
       164:{1,2,4,5}:{(144,1),(145,1),(148,1),(178,1),(179,1),(180,1),(181,1),(202,1),(203,1),(204,1)}
       165:{3,4,5}:{(145,1),(149,1),(179,1),(180,1)}
       166:{1,5}:{(146,1),(150,1)}
       167:{1,4,6}:{(147,1),(151,1),(173,1),(178,1),(181,1),(182,1)}
       168:{3,6}:{(148,1),(174,1),(179,1)}
       169:{1,4,6}:{(149,1),(152,1),(175,1),(180,1),(183,1)}
       170:{4,5}:{(150,1),(151,1)}
       171:{1,6}:{(153,1),(158,1)}
       172:{1,5,7}:{(154,1),(159,1),(166,1),(185,1)}
       173:{1,4,7}:{(155,1),(160,1),(167,1),(187,1)}
       174:{3,7}:{(156,1),(168,1)}
       175:{1,4,7}:{(157,1),(161,1),(169,1),(188,1)}
       176:{3,5,6}:{(158,1),(159,1),(162,1),(185,1),(190,1),(205,1)}
       177:{4,5,7}:{(159,1),(160,1),(170,1),(190,1)}
       178:{1,4}:{(163,1),(191,1)}
       179:{3,5}:{(164,1),(168,1),(191,1)}
       180:{1,4,5}:{(165,1),(169,1),(192,1)}
       181:{1,4,5}:{(166,1),(167,1),(170,1),(194,1)}
       182:{3,4,6}:{(167,1),(168,1),(187,1),(191,1),(194,1),(195,1),(205,1)}
       183:{1,3,6}:{(168,1),(169,1),(188,1),(192,1),(196,1)}
       184:{2,3,6}:{(168,1),(189,1),(193,1),(195,1),(196,1)}
       185:{1,5,6}:{(171,1),(172,1),(176,1),(197,1)}
       186:{1,4,5,7}:{(172,1),(173,1),(177,1),(181,1),(197,1),(198,1)}
       187:{3,4,7}:{(173,1),(174,1),(182,1),(198,1),(199,1)}
       188:{1,3,7}:{(174,1),(175,1),(183,1),(200,1)}
       189:{2,3,7}:{(174,1),(184,1),(199,1),(200,1)}
       190:{4,6}:{(176,1),(177,1)}
       191:{3,4}:{(178,1),(179,1),(202,1)}
       192:{1,3,5}:{(179,1),(180,1),(183,1),(201,1),(203,1)}
       193:{2,3,5}:{(179,1),(184,1),(202,1),(203,1),(204,1),(209,1)}
       194:{3,5}:{(181,1),(182,1),(204,1)}
       195:{2,4,6}:{(182,1),(184,1),(199,1),(202,1),(204,1),(208,1)}
       196:{1,2,6}:{(183,1),(184,1),(200,1),(203,1)}
       197:{1,4,6}:{(185,1),(186,1),(190,1),(205,1)}
       198:{3,5,7}:{(186,1),(187,1),(194,1),(205,1),(206,1)}
       199:{2,4,7}:{(187,1),(189,1),(195,1),(206,1)}
       200:{1,2,7}:{(188,1),(189,1),(196,1)}
       201:{1,3,4}:{(191,1),(192,1),(207,1)}
       202:{2,4}:{(191,1),(193,1)}
       203:{1,2,5}:{(192,1),(193,1),(196,1),(207,1)}
       204:{2,5}:{(194,1),(195,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{2,5,7}:{(198,1),(199,1),(204,1),(208,1)}
       207:{1,2,4}:{(201,1),(202,1),(203,1),(209,1)}
       208:{2,6}:{(205,1),(206,1)}
       209:{2,3}:{(207,1)}

 539 :   0:{2,4,5,6}:{(1,1),(2,1),(14,1),(92,1),(93,1)}
         1:{3,5,6}:{(0,1),(4,1),(5,1),(7,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(8,1),(31,1),(77,1),(78,1)}
         3:{2,3,4,6}:{(10,1),(11,1),(12,1),(14,1),(45,1),(49,1),(88,1),(96,1),(139,1)}
         4:{3,4,6}:{(1,1),(9,1),(13,1),(14,1),(15,1),(49,1)}
         5:{1,5,6}:{(1,1),(13,1),(17,1)}
         6:{2,3,5,6}:{(1,1),(10,1),(14,1),(16,1),(18,1),(45,1),(49,1),(92,1),(140,1)}
         7:{3,5,7}:{(1,1),(2,1),(15,1),(17,1),(19,1)}
         8:{2,4,6,7}:{(2,1),(19,1),(20,1),(58,1)}
         9:{3,4,5}:{(4,1),(21,1),(22,1),(62,1)}
        10:{2,3,5}:{(3,1),(22,1),(24,1),(62,1),(120,1),(160,1)}
        11:{1,2,4,6}:{(3,1),(24,1),(26,1),(27,1),(67,1),(69,1),(119,1)}
        12:{2,3,4,7}:{(3,1),(25,1),(27,1),(31,1),(74,1),(115,1),(121,1),(204,1)}
        13:{1,4,6}:{(4,1),(5,1),(21,1),(28,1),(30,1)}
        14:{2,4,6}:{(4,1),(6,1),(22,1),(31,1),(161,1)}
        15:{3,4,7}:{(4,1),(7,1),(30,1),(31,1),(74,1)}
        16:{1,2,5,6}:{(5,1),(6,1),(24,1),(29,1),(33,1),(34,1),(69,1),(120,1),(163,1)}
        17:{1,5,7}:{(5,1),(7,1),(30,1),(35,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(31,1),(34,1),(36,1),(74,1),(77,1),(127,1)}
        19:{3,6,7}:{(7,1),(8,1),(35,1)}
        20:{2,5,6,7}:{(8,1),(37,1),(77,1),(131,1)}
        21:{1,4,5}:{(9,1),(13,1),(38,1)}
        22:{2,4,5}:{(9,1),(10,1),(14,1),(177,1)}
        23:{3,4,5,7}:{(9,1),(15,1),(40,1),(41,1),(42,1),(53,1),(89,1),(147,1),(150,1),(172,1),(177,1)}
        24:{1,2,5}:{(10,1),(11,1),(43,1),(142,1)}
        25:{2,3,5,7}:{(10,1),(12,1),(41,1),(44,1),(45,1),(89,1),(143,1),(182,1),(197,1)}
        26:{1,3,6}:{(11,1),(43,1),(46,1),(49,1)}
        27:{1,2,4,7}:{(11,1),(12,1),(44,1),(46,1),(94,1),(208,1)}
        28:{1,3,6}:{(13,1),(38,1),(47,1),(48,1),(49,1)}
        29:{1,2,4,6}:{(13,1),(14,1),(16,1),(39,1),(47,1),(49,1),(50,1),(54,1),(96,1)}
        30:{1,4,7}:{(13,1),(15,1),(17,1),(48,1)}
        31:{2,4,7}:{(14,1),(15,1),(18,1),(150,1)}
        32:{3,4,6,7}:{(15,1),(19,1),(42,1),(51,1),(52,1),(53,1),(58,1),(102,1),(107,1),(147,1),(150,1)}
        33:{1,3,5,6}:{(16,1),(43,1),(49,1),(54,1),(55,1),(95,1),(100,1),(140,1),(142,1),(148,1),(152,1)}
        34:{1,2,5,7}:{(16,1),(17,1),(18,1),(50,1),(55,1),(56,1),(143,1)}
        35:{1,6,7}:{(17,1),(19,1)}
        36:{2,3,6,7}:{(18,1),(19,1),(45,1),(52,1),(56,1),(102,1),(182,1)}
        37:{3,5,6,7}:{(19,1),(20,1),(53,1),(57,1),(58,1),(107,1)}
        38:{1,3,5}:{(21,1),(28,1),(59,1),(60,1),(62,1)}
        39:{1,2,4,5}:{(21,1),(22,1),(24,1),(29,1),(60,1),(62,1),(67,1),(79,1),(111,1),(120,1)}
        40:{1,4,5,7}:{(21,1),(23,1),(30,1),(61,1),(64,1),(76,1),(124,1),(155,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(25,1),(31,1),(65,1),(77,1),(167,1),(186,1)}
        42:{3,4,6}:{(23,1),(64,1),(65,1),(66,1),(116,1),(161,1)}
        43:{1,3,5}:{(24,1),(26,1),(62,1),(67,1)}
        44:{1,2,5,7}:{(24,1),(25,1),(27,1),(68,1),(69,1),(194,1),(205,1)}
        45:{2,3,6}:{(25,1),(65,1),(69,1),(116,1),(163,1)}
        46:{1,3,7}:{(26,1),(27,1),(74,1),(209,1)}
        47:{1,2,6}:{(28,1),(60,1),(70,1),(71,1)}
        48:{1,3,7}:{(28,1),(30,1),(71,1),(74,1)}
        49:{3,6}:{(29,1),(62,1),(74,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(71,1),(74,1),(80,1),(121,1)}
        51:{1,4,6,7}:{(30,1),(32,1),(35,1),(64,1),(72,1),(76,1),(124,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(36,1),(65,1),(77,1),(131,1),(167,1)}
        53:{3,5,7}:{(32,1),(66,1),(76,1),(77,1),(78,1)}
        54:{1,4,6}:{(33,1),(67,1),(73,1),(79,1),(80,1),(161,1)}
        55:{1,3,5,7}:{(33,1),(34,1),(74,1),(80,1),(81,1),(125,1),(127,1),(130,1)}
        56:{1,2,6,7}:{(34,1),(35,1),(36,1),(69,1),(81,1),(163,1),(194,1)}
        57:{1,5,6,7}:{(35,1),(37,1),(76,1),(82,1)}
        58:{4,6,7}:{(37,1),(78,1)}
        59:{1,3,4}:{(38,1),(83,1),(88,1)}
        60:{1,2,5}:{(38,1),(47,1),(83,1),(85,1)}
        61:{1,3,5,7}:{(38,1),(40,1),(48,1),(84,1),(86,1),(87,1),(89,1),(134,1),(202,1)}
        62:{3,5}:{(39,1),(49,1),(88,1)}
        63:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(44,1),(50,1),(86,1),(89,1),(90,1),(94,1),(103,1),(105,1),(135,1),(142,1),(143,1),(146,1),(150,1),(171,1),(173,1),(177,1),(179,1),(202,1)}
        64:{1,4,6}:{(40,1),(42,1),(87,1),(91,1)}
        65:{2,4,6}:{(41,1),(42,1),(45,1),(92,1)}
        66:{3,5,6}:{(42,1),(53,1),(91,1),(92,1),(93,1)}
        67:{1,4}:{(43,1),(88,1)}
        68:{1,3,5,7}:{(43,1),(44,1),(46,1),(89,1),(94,1),(95,1),(142,1),(181,1),(196,1),(202,1)}
        69:{1,2,6}:{(44,1),(45,1),(95,1)}
        70:{2,3,6}:{(47,1),(49,1),(85,1),(96,1),(97,1)}
        71:{1,2,7}:{(47,1),(48,1),(97,1)}
        72:{1,3,6,7}:{(48,1),(51,1),(87,1),(98,1),(99,1),(102,1),(107,1)}
        73:{3,4,6}:{(49,1),(54,1),(88,1),(96,1),(100,1),(101,1),(148,1)}
        74:{3,7}:{(49,1),(50,1)}
        75:{1,2,4,6,7}:{(50,1),(51,1),(52,1),(56,1),(90,1),(98,1),(102,1),(103,1),(106,1),(144,1),(146,1),(150,1)}
        76:{1,5,7}:{(51,1),(53,1),(91,1)}
        77:{2,5,7}:{(52,1),(53,1),(92,1)}
        78:{4,5,7}:{(53,1),(58,1),(93,1),(150,1)}
        79:{1,4,5}:{(54,1),(100,1),(142,1),(177,1)}
        80:{1,4,7}:{(54,1),(55,1),(101,1),(150,1)}
        81:{1,3,6,7}:{(55,1),(56,1),(95,1),(102,1),(106,1),(148,1),(181,1)}
        82:{1,4,6,7}:{(57,1),(58,1),(104,1),(107,1)}
        83:{1,2,4}:{(59,1),(60,1),(108,1),(111,1)}
        84:{1,3,4,7}:{(59,1),(61,1),(109,1),(110,1),(115,1),(124,1),(166,1),(193,1)}
        85:{2,3,5}:{(60,1),(62,1),(70,1),(108,1),(111,1),(120,1)}
        86:{1,2,5,7}:{(60,1),(61,1),(71,1),(109,1),(112,1),(113,1),(154,1)}
        87:{1,3,6}:{(61,1),(64,1),(113,1),(116,1),(207,1)}
        88:{3,4}:{(62,1),(67,1),(111,1)}
        89:{3,5,7}:{(62,1),(63,1),(74,1),(115,1),(116,1),(160,1),(166,1),(185,1)}
        90:{1,2,4,6}:{(63,1),(64,1),(65,1),(69,1),(113,1),(116,1),(117,1),(119,1),(129,1),(156,1),(161,1),(163,1),(191,1),(207,1)}
        91:{1,5,6}:{(64,1),(66,1),(76,1)}
        92:{2,5,6}:{(65,1),(66,1),(77,1)}
        93:{4,5,6}:{(66,1),(78,1),(161,1)}
        94:{1,4,7}:{(67,1),(68,1),(115,1),(119,1),(203,1)}
        95:{1,3,6}:{(68,1),(69,1),(116,1),(119,1),(207,1)}
        96:{2,4,6}:{(70,1),(73,1),(111,1),(120,1),(121,1),(163,1)}
        97:{2,3,7}:{(70,1),(71,1),(74,1),(121,1)}
        98:{1,2,6,7}:{(71,1),(72,1),(113,1),(122,1),(123,1),(131,1),(207,1)}
        99:{1,3,5,7}:{(72,1),(76,1),(114,1),(123,1),(124,1),(127,1),(128,1),(166,1)}
       100:{3,5}:{(73,1),(79,1),(120,1)}
       101:{3,4,7}:{(73,1),(74,1),(80,1),(121,1),(125,1)}
       102:{3,6,7}:{(74,1),(75,1),(116,1),(127,1),(166,1)}
       103:{1,2,5,7}:{(75,1),(76,1),(77,1),(117,1),(127,1),(130,1),(164,1)}
       104:{1,4,5,7}:{(76,1),(78,1),(82,1),(118,1),(124,1),(128,1)}
       105:{1,4,5,7}:{(79,1),(80,1),(125,1),(129,1),(130,1),(169,1)}
       106:{1,4,6,7}:{(80,1),(81,1),(119,1),(126,1),(129,1),(130,1),(193,1),(207,1)}
       107:{3,6,7}:{(82,1),(128,1),(131,1)}
       108:{2,3}:{(83,1)}
       109:{1,2,4,7}:{(83,1),(84,1),(86,1),(132,1),(133,1),(135,1)}
       110:{1,3,4,6}:{(84,1),(87,1),(133,1),(134,1),(138,1),(139,1),(175,1),(195,1),(199,1)}
       111:{2,4}:{(85,1),(88,1)}
       112:{2,3,5,7}:{(85,1),(86,1),(89,1),(97,1),(132,1),(135,1),(136,1),(143,1),(170,1),(173,1)}
       113:{1,2,6}:{(86,1),(87,1),(136,1)}
       114:{1,3,5,6}:{(87,1),(91,1),(99,1),(134,1),(137,1),(138,1),(140,1),(141,1),(175,1)}
       115:{3,4,7}:{(88,1),(89,1),(94,1),(135,1),(139,1),(150,1),(195,1)}
       116:{3,6}:{(89,1),(90,1)}
       117:{1,2,5,6}:{(90,1),(91,1),(92,1),(103,1),(140,1),(142,1),(152,1),(173,1),(178,1)}
       118:{1,4,5,6}:{(91,1),(93,1),(104,1),(138,1),(141,1)}
       119:{1,4,6}:{(94,1),(95,1),(139,1),(142,1)}
       120:{2,5}:{(96,1),(100,1)}
       121:{2,4,7}:{(96,1),(97,1),(101,1),(143,1)}
       122:{2,3,6,7}:{(97,1),(98,1),(102,1),(136,1),(144,1),(145,1),(201,1)}
       123:{1,2,5,7}:{(98,1),(99,1),(137,1),(145,1),(146,1),(151,1),(202,1)}
       124:{1,4,7}:{(99,1),(138,1),(147,1),(150,1)}
       125:{3,5,7}:{(100,1),(101,1),(105,1),(143,1),(148,1)}
       126:{3,4,6,7}:{(101,1),(102,1),(106,1),(139,1),(144,1),(148,1),(149,1),(150,1),(180,1),(183,1),(201,1)}
       127:{3,5,7}:{(102,1),(103,1),(140,1),(150,1)}
       128:{3,5,7}:{(104,1),(107,1),(141,1),(147,1),(151,1)}
       129:{1,4,6}:{(105,1),(148,1),(152,1),(183,1)}
       130:{1,5,7}:{(106,1),(142,1),(149,1),(152,1)}
       131:{2,6,7}:{(107,1),(151,1)}
       132:{2,3,7}:{(108,1),(109,1),(153,1),(166,1)}
       133:{1,2,4,6}:{(109,1),(110,1),(113,1),(153,1),(154,1),(156,1),(184,1)}
       134:{1,3,5}:{(110,1),(154,1),(155,1),(160,1),(185,1),(206,1)}
       135:{2,4,7}:{(111,1),(112,1),(115,1),(156,1),(184,1)}
       136:{2,3,6}:{(112,1),(113,1),(116,1),(156,1),(163,1)}
       137:{1,2,5,6}:{(113,1),(114,1),(123,1),(154,1),(157,1),(158,1),(162,1),(206,1),(207,1)}
       138:{1,4,6}:{(114,1),(124,1),(155,1),(159,1),(161,1)}
       139:{3,4,6}:{(115,1),(116,1),(119,1),(156,1),(160,1),(161,1)}
       140:{3,5,6}:{(116,1),(117,1),(127,1),(160,1),(161,1)}
       141:{3,5,6}:{(118,1),(128,1),(159,1),(162,1)}
       142:{1,5}:{(119,1),(160,1)}
       143:{2,5,7}:{(120,1),(121,1),(125,1),(163,1)}
       144:{2,4,6,7}:{(121,1),(122,1),(126,1),(156,1),(163,1),(164,1),(165,1),(191,1)}
       145:{2,3,5,7}:{(122,1),(123,1),(127,1),(157,1),(164,1),(165,1),(166,1),(192,1)}
       146:{1,2,4,7}:{(123,1),(124,1),(158,1),(165,1),(166,1),(167,1),(193,1),(194,1)}
       147:{3,4,7}:{(124,1),(128,1),(159,1),(166,1),(167,1)}
       148:{3,6}:{(125,1),(129,1),(163,1)}
       149:{3,5,7}:{(126,1),(130,1),(160,1),(164,1),(168,1),(169,1)}
       150:{4,7}:{(127,1),(161,1)}
       151:{2,5,7}:{(128,1),(131,1),(162,1),(167,1)}
       152:{1,5,6}:{(129,1),(130,1),(168,1),(207,1)}
       153:{2,3,6}:{(132,1),(133,1),(170,1),(175,1)}
       154:{1,2,5}:{(133,1),(134,1),(170,1),(173,1)}
       155:{1,4,5}:{(134,1),(138,1),(172,1),(177,1)}
       156:{2,4,6}:{(135,1),(136,1),(139,1),(173,1)}
       157:{2,3,5,6}:{(136,1),(137,1),(140,1),(145,1),(170,1),(173,1),(174,1),(175,1),(178,1),(198,1),(201,1)}
       158:{1,2,4,6}:{(137,1),(138,1),(146,1),(171,1),(174,1),(175,1),(176,1),(199,1),(200,1)}
       159:{3,4,6}:{(138,1),(141,1),(147,1),(172,1),(175,1),(176,1)}
       160:{3,5}:{(139,1),(142,1),(173,1),(177,1)}
       161:{4,6}:{(140,1),(150,1),(177,1)}
       162:{2,5,6}:{(141,1),(151,1),(176,1)}
       163:{2,6}:{(143,1),(148,1)}
       164:{2,5,7}:{(144,1),(149,1),(173,1),(178,1)}
       165:{2,4,7}:{(145,1),(150,1),(174,1),(180,1)}
       166:{3,7}:{(146,1),(175,1)}
       167:{2,4,7}:{(147,1),(151,1),(176,1),(182,1)}
       168:{3,5,6}:{(148,1),(149,1),(152,1),(178,1),(183,1),(201,1)}
       169:{4,5,7}:{(149,1),(150,1),(177,1),(183,1)}
       170:{2,3,5}:{(153,1),(154,1),(184,1),(185,1)}
       171:{1,2,4,5}:{(154,1),(155,1),(158,1),(184,1),(185,1),(186,1),(187,1),(203,1),(205,1),(206,1)}
       172:{3,4,5}:{(155,1),(159,1),(185,1),(186,1)}
       173:{2,5}:{(156,1),(160,1)}
       174:{2,4,6}:{(157,1),(161,1),(165,1),(184,1),(187,1),(188,1)}
       175:{3,6}:{(158,1),(166,1),(185,1)}
       176:{2,4,6}:{(159,1),(162,1),(167,1),(186,1),(190,1)}
       177:{4,5}:{(160,1),(161,1)}
       178:{2,5,6}:{(163,1),(164,1),(168,1),(191,1)}
       179:{2,4,5,7}:{(164,1),(165,1),(169,1),(187,1),(191,1),(192,1)}
       180:{3,4,7}:{(165,1),(166,1),(188,1),(192,1),(193,1)}
       181:{1,3,7}:{(166,1),(189,1),(193,1),(194,1)}
       182:{2,3,7}:{(166,1),(167,1),(190,1),(194,1)}
       183:{4,6}:{(168,1),(169,1)}
       184:{2,4}:{(170,1),(195,1)}
       185:{3,5}:{(171,1),(175,1),(195,1)}
       186:{2,4,5}:{(172,1),(176,1),(197,1)}
       187:{2,4,5}:{(173,1),(174,1),(177,1),(198,1)}
       188:{3,4,6}:{(174,1),(175,1),(180,1),(195,1),(198,1),(199,1),(201,1)}
       189:{1,3,6}:{(175,1),(181,1),(196,1),(199,1),(200,1)}
       190:{2,3,6}:{(175,1),(176,1),(182,1),(197,1),(200,1)}
       191:{2,4,6}:{(178,1),(179,1),(183,1),(201,1)}
       192:{3,5,7}:{(179,1),(180,1),(198,1),(201,1),(202,1)}
       193:{1,4,7}:{(180,1),(181,1),(199,1),(202,1)}
       194:{1,2,7}:{(181,1),(182,1),(200,1)}
       195:{3,4}:{(184,1),(185,1),(203,1)}
       196:{1,3,5}:{(185,1),(189,1),(203,1),(205,1),(206,1),(209,1)}
       197:{2,3,5}:{(185,1),(186,1),(190,1),(204,1),(205,1)}
       198:{3,5}:{(187,1),(188,1),(206,1)}
       199:{1,4,6}:{(188,1),(189,1),(193,1),(203,1),(206,1),(207,1)}
       200:{1,2,6}:{(189,1),(190,1),(194,1),(205,1)}
       201:{3,6}:{(191,1),(192,1),(207,1)}
       202:{1,5,7}:{(192,1),(193,1),(206,1),(207,1)}
       203:{1,4}:{(195,1),(196,1)}
       204:{2,3,4}:{(195,1),(197,1),(208,1)}
       205:{1,2,5}:{(196,1),(197,1),(200,1),(208,1)}
       206:{1,5}:{(198,1),(199,1)}
       207:{1,6}:{(201,1),(202,1)}
       208:{1,2,4}:{(203,1),(204,1),(205,1),(209,1)}
       209:{1,3}:{(208,1)}

 540 :   0:{3,5,6,7}:{(2,1),(3,1),(4,1),(26,1),(31,1),(35,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(8,1),(35,1),(41,1),(42,1),(74,1),(78,1),(87,1),(150,1),(152,1)}
         2:{1,5,6,7}:{(0,1),(10,1),(57,1),(64,1)}
         3:{2,5,6,7}:{(0,1),(13,1),(50,1),(65,1)}
         4:{4,6,7}:{(0,1),(16,1)}
         5:{4,5,6}:{(16,1),(18,1),(125,1)}
         6:{3,4,6}:{(1,1),(18,1),(19,1),(20,1),(68,1),(125,1)}
         7:{1,4,5,7}:{(1,1),(12,1),(19,1),(64,1),(70,1),(103,1),(107,1),(115,1)}
         8:{2,4,5,7}:{(1,1),(15,1),(20,1),(65,1),(71,1),(104,1),(108,1),(116,1)}
         9:{1,3,4,7}:{(12,1),(22,1),(23,1),(69,1),(107,1),(156,1),(161,1),(196,1)}
        10:{1,4,6,7}:{(2,1),(4,1),(25,1),(26,1)}
        11:{1,4,5,6}:{(5,1),(25,1),(27,1),(38,1),(82,1)}
        12:{1,3,5,7}:{(7,1),(9,1),(28,1),(29,1),(41,1),(43,1),(131,1),(142,1),(204,1)}
        13:{2,4,6,7}:{(3,1),(4,1),(30,1),(31,1)}
        14:{2,4,5,6}:{(5,1),(30,1),(32,1),(39,1),(92,1)}
        15:{2,3,5,7}:{(8,1),(24,1),(33,1),(34,1),(41,1),(75,1),(100,1),(134,1),(206,1)}
        16:{4,5,7}:{(4,1),(5,1),(35,1),(150,1)}
        17:{3,4,6,7}:{(4,1),(6,1),(26,1),(31,1),(35,1),(36,1),(37,1),(78,1),(87,1),(97,1),(150,1)}
        18:{3,5,6}:{(5,1),(6,1),(35,1),(38,1),(39,1)}
        19:{1,4,6}:{(6,1),(7,1),(28,1),(38,1)}
        20:{2,4,6}:{(6,1),(8,1),(33,1),(39,1)}
        21:{1,2,4,5,7}:{(7,1),(8,1),(29,1),(34,1),(40,1),(41,1),(86,1),(95,1),(96,1),(101,1),(132,1),(135,1),(141,1),(143,1),(149,1),(150,1),(152,1),(183,1),(189,1),(204,1),(206,1)}
        22:{1,3,4,6}:{(9,1),(28,1),(43,1),(44,1),(82,1),(99,1),(139,1),(155,1),(185,1)}
        23:{1,2,4,7}:{(9,1),(29,1),(44,1),(45,1),(86,1),(178,1)}
        24:{2,3,4,7}:{(15,1),(46,1),(47,1),(69,1),(116,1),(127,1),(168,1),(200,1)}
        25:{1,4,5,7}:{(10,1),(11,1),(16,1),(48,1),(64,1),(107,1)}
        26:{3,6,7}:{(10,1),(48,1),(50,1)}
        27:{3,5,6}:{(11,1),(48,1),(51,1),(53,1)}
        28:{1,3,6}:{(12,1),(19,1),(54,1),(68,1),(208,1)}
        29:{1,2,5,7}:{(12,1),(23,1),(54,1),(55,1),(72,1),(157,1),(167,1)}
        30:{2,4,5,7}:{(13,1),(14,1),(16,1),(56,1),(65,1),(116,1)}
        31:{3,6,7}:{(13,1),(56,1),(57,1)}
        32:{3,5,6}:{(14,1),(56,1),(59,1),(60,1)}
        33:{2,3,6}:{(15,1),(20,1),(62,1),(68,1),(209,1)}
        34:{1,2,5,7}:{(15,1),(47,1),(62,1),(63,1),(105,1),(128,1),(160,1)}
        35:{3,5,7}:{(16,1),(17,1),(18,1),(64,1),(65,1)}
        36:{1,4,6,7}:{(17,1),(19,1),(49,1),(57,1),(64,1),(107,1),(115,1)}
        37:{2,4,6,7}:{(17,1),(20,1),(50,1),(58,1),(65,1),(108,1),(116,1)}
        38:{1,5,6}:{(18,1),(19,1),(64,1)}
        39:{2,5,6}:{(18,1),(20,1),(65,1)}
        40:{1,2,4,6}:{(19,1),(20,1),(21,1),(54,1),(62,1),(67,1),(68,1),(114,1),(122,1),(125,1),(198,1),(202,1),(208,1),(209,1)}
        41:{3,5,7}:{(21,1),(68,1),(69,1),(126,1),(129,1),(158,1),(161,1),(168,1)}
        42:{3,4,5}:{(51,1),(70,1),(71,1),(129,1)}
        43:{1,3,5}:{(22,1),(70,1),(72,1),(126,1),(129,1),(199,1)}
        44:{1,2,4,6}:{(22,1),(23,1),(54,1),(72,1),(73,1),(114,1),(130,1)}
        45:{2,3,7}:{(23,1),(73,1),(161,1),(194,1)}
        46:{2,3,4,6}:{(24,1),(33,1),(75,1),(76,1),(92,1),(99,1),(147,1),(180,1),(191,1)}
        47:{1,2,4,7}:{(24,1),(34,1),(76,1),(77,1),(95,1),(153,1)}
        48:{3,5,7}:{(25,1),(26,1),(27,1),(78,1),(80,1)}
        49:{1,3,6,7}:{(26,1),(28,1),(36,1),(79,1),(81,1),(97,1),(142,1)}
        50:{2,6,7}:{(26,1),(80,1)}
        51:{3,4,6}:{(27,1),(42,1),(78,1),(82,1),(83,1),(139,1)}
        52:{1,3,5,6}:{(27,1),(28,1),(38,1),(43,1),(79,1),(82,1),(84,1),(98,1),(139,1)}
        53:{2,5,6}:{(27,1),(80,1),(83,1)}
        54:{1,2,6}:{(28,1),(29,1),(85,1)}
        55:{2,3,5,7}:{(29,1),(41,1),(45,1),(85,1),(86,1),(102,1),(141,1),(179,1),(187,1),(206,1)}
        56:{3,5,7}:{(30,1),(31,1),(32,1),(87,1),(88,1)}
        57:{1,6,7}:{(31,1),(88,1)}
        58:{2,3,6,7}:{(31,1),(33,1),(37,1),(89,1),(90,1),(97,1),(134,1)}
        59:{3,4,6}:{(32,1),(74,1),(87,1),(91,1),(92,1),(147,1)}
        60:{1,5,6}:{(32,1),(88,1),(91,1)}
        61:{2,3,5,6}:{(32,1),(33,1),(39,1),(75,1),(89,1),(92,1),(93,1),(98,1),(147,1)}
        62:{1,2,6}:{(33,1),(34,1),(94,1)}
        63:{1,3,5,7}:{(34,1),(41,1),(77,1),(94,1),(95,1),(133,1),(149,1),(154,1),(181,1),(204,1)}
        64:{1,5,7}:{(35,1),(36,1),(38,1)}
        65:{2,5,7}:{(35,1),(37,1),(39,1)}
        66:{1,2,4,6,7}:{(36,1),(37,1),(40,1),(81,1),(90,1),(96,1),(97,1),(135,1),(137,1),(143,1),(145,1),(150,1)}
        67:{1,2,5,6}:{(38,1),(39,1),(40,1),(96,1),(98,1),(141,1),(149,1),(184,1),(190,1)}
        68:{3,6}:{(40,1),(41,1)}
        69:{3,4,7}:{(41,1),(86,1),(95,1),(99,1),(150,1),(155,1),(180,1)}
        70:{1,4,5}:{(42,1),(43,1),(82,1),(152,1)}
        71:{2,4,5}:{(42,1),(83,1),(100,1)}
        72:{1,2,5}:{(43,1),(44,1),(102,1),(141,1)}
        73:{2,3,6}:{(44,1),(45,1),(102,1),(139,1)}
        74:{3,4,5}:{(59,1),(103,1),(104,1),(158,1)}
        75:{2,3,5}:{(46,1),(104,1),(105,1),(126,1),(158,1),(203,1)}
        76:{1,2,4,6}:{(46,1),(47,1),(62,1),(105,1),(106,1),(122,1),(159,1)}
        77:{1,3,7}:{(47,1),(106,1),(168,1),(176,1)}
        78:{3,4,7}:{(48,1),(51,1),(107,1),(108,1),(161,1)}
        79:{1,3,5,7}:{(48,1),(49,1),(52,1),(64,1),(107,1),(109,1),(123,1),(161,1)}
        80:{2,5,7}:{(48,1),(50,1),(53,1),(108,1)}
        81:{1,2,6,7}:{(49,1),(50,1),(54,1),(109,1),(110,1),(167,1),(208,1)}
        82:{1,4,6}:{(51,1),(52,1),(70,1),(107,1),(125,1)}
        83:{2,4,6}:{(51,1),(53,1),(71,1),(108,1),(111,1)}
        84:{1,2,5,6}:{(52,1),(53,1),(54,1),(72,1),(109,1),(112,1),(113,1),(199,1),(208,1)}
        85:{2,3,6}:{(54,1),(55,1),(68,1),(114,1),(209,1)}
        86:{2,4,7}:{(55,1),(69,1),(114,1),(130,1),(195,1)}
        87:{3,4,7}:{(56,1),(59,1),(115,1),(116,1),(168,1)}
        88:{1,5,7}:{(56,1),(57,1),(60,1),(115,1)}
        89:{2,3,5,7}:{(56,1),(58,1),(61,1),(65,1),(116,1),(117,1),(123,1),(168,1)}
        90:{1,2,6,7}:{(57,1),(58,1),(62,1),(117,1),(118,1),(160,1),(209,1)}
        91:{1,4,6}:{(59,1),(60,1),(103,1),(115,1),(119,1)}
        92:{2,4,6}:{(59,1),(61,1),(104,1),(116,1),(125,1)}
        93:{1,2,5,6}:{(60,1),(61,1),(62,1),(105,1),(117,1),(120,1),(121,1),(203,1),(209,1)}
        94:{1,3,6}:{(62,1),(63,1),(68,1),(122,1),(208,1)}
        95:{1,4,7}:{(63,1),(69,1),(122,1),(159,1),(177,1)}
        96:{1,2,5,7}:{(64,1),(65,1),(66,1),(67,1),(123,1),(163,1),(170,1)}
        97:{3,6,7}:{(66,1),(68,1),(123,1),(161,1),(168,1)}
        98:{3,5,6}:{(67,1),(68,1),(123,1),(125,1),(126,1)}
        99:{3,4,6}:{(68,1),(69,1),(114,1),(122,1),(125,1),(126,1)}
       100:{2,3,5}:{(71,1),(111,1),(127,1),(128,1),(129,1)}
       101:{1,2,4,5}:{(70,1),(71,1),(72,1),(112,1),(128,1),(129,1),(130,1),(166,1),(177,1),(199,1)}
       102:{2,3,5}:{(72,1),(73,1),(129,1),(130,1)}
       103:{1,4,5}:{(74,1),(91,1),(131,1)}
       104:{2,4,5}:{(74,1),(75,1),(92,1),(152,1)}
       105:{1,2,5}:{(75,1),(76,1),(133,1),(149,1)}
       106:{1,3,6}:{(76,1),(77,1),(133,1),(147,1)}
       107:{1,4,7}:{(78,1),(79,1),(82,1),(150,1)}
       108:{2,4,7}:{(78,1),(80,1),(83,1),(134,1)}
       109:{1,2,5,7}:{(79,1),(80,1),(81,1),(84,1),(135,1),(136,1),(204,1)}
       110:{2,3,6,7}:{(81,1),(85,1),(97,1),(136,1),(137,1),(187,1),(205,1)}
       111:{2,3,6}:{(83,1),(100,1),(134,1),(138,1),(139,1)}
       112:{1,2,4,6}:{(82,1),(83,1),(84,1),(101,1),(135,1),(138,1),(139,1),(140,1),(185,1)}
       113:{2,3,5,6}:{(84,1),(85,1),(98,1),(102,1),(136,1),(139,1),(140,1),(141,1),(184,1),(186,1),(205,1)}
       114:{2,4,6}:{(85,1),(86,1),(99,1),(141,1)}
       115:{1,4,7}:{(87,1),(88,1),(91,1),(142,1)}
       116:{2,4,7}:{(87,1),(89,1),(92,1),(150,1)}
       117:{1,2,5,7}:{(88,1),(89,1),(90,1),(93,1),(143,1),(144,1),(206,1)}
       118:{1,3,6,7}:{(90,1),(94,1),(97,1),(144,1),(145,1),(181,1),(207,1)}
       119:{1,3,6}:{(91,1),(131,1),(142,1),(146,1),(147,1)}
       120:{1,2,4,6}:{(91,1),(92,1),(93,1),(132,1),(143,1),(146,1),(147,1),(148,1),(191,1)}
       121:{1,3,5,6}:{(93,1),(94,1),(98,1),(133,1),(144,1),(147,1),(148,1),(149,1),(190,1),(192,1),(207,1)}
       122:{1,4,6}:{(94,1),(95,1),(99,1),(149,1)}
       123:{3,5,7}:{(96,1),(97,1),(98,1),(150,1)}
       124:{3,4,6,7}:{(97,1),(99,1),(137,1),(145,1),(150,1),(151,1),(182,1),(188,1),(193,1),(205,1),(207,1)}
       125:{4,6}:{(98,1),(150,1),(152,1)}
       126:{3,5}:{(99,1),(141,1),(149,1),(152,1)}
       127:{2,3,4}:{(100,1),(153,1),(155,1)}
       128:{1,2,5}:{(100,1),(138,1),(153,1),(154,1)}
       129:{3,5}:{(101,1),(139,1),(155,1)}
       130:{2,4}:{(102,1),(155,1)}
       131:{1,3,5}:{(103,1),(119,1),(156,1),(157,1),(158,1)}
       132:{1,2,4,5}:{(103,1),(104,1),(105,1),(120,1),(157,1),(158,1),(159,1),(173,1),(195,1),(203,1)}
       133:{1,3,5}:{(105,1),(106,1),(158,1),(159,1)}
       134:{2,3,7}:{(108,1),(111,1),(160,1),(161,1)}
       135:{1,2,4,7}:{(107,1),(108,1),(109,1),(112,1),(160,1),(161,1),(162,1),(196,1)}
       136:{2,3,5,7}:{(109,1),(110,1),(113,1),(123,1),(161,1),(162,1),(163,1),(197,1)}
       137:{2,4,6,7}:{(110,1),(114,1),(124,1),(162,1),(163,1),(198,1),(200,1),(209,1)}
       138:{1,2,6}:{(111,1),(128,1),(160,1),(164,1)}
       139:{3,6}:{(112,1),(129,1),(161,1)}
       140:{2,4,6}:{(113,1),(125,1),(130,1),(162,1),(165,1),(166,1)}
       141:{2,5}:{(114,1),(126,1)}
       142:{1,3,7}:{(115,1),(119,1),(167,1),(168,1)}
       143:{1,2,4,7}:{(115,1),(116,1),(117,1),(120,1),(167,1),(168,1),(169,1),(200,1)}
       144:{1,3,5,7}:{(117,1),(118,1),(121,1),(123,1),(168,1),(169,1),(170,1),(201,1)}
       145:{1,4,6,7}:{(118,1),(122,1),(124,1),(169,1),(170,1),(196,1),(202,1),(208,1)}
       146:{1,2,6}:{(119,1),(157,1),(167,1),(171,1)}
       147:{3,6}:{(120,1),(158,1),(168,1)}
       148:{1,4,6}:{(121,1),(125,1),(159,1),(169,1),(172,1),(173,1)}
       149:{1,5}:{(122,1),(126,1)}
       150:{4,7}:{(123,1),(125,1)}
       151:{3,5,7}:{(124,1),(126,1),(163,1),(170,1),(174,1),(175,1)}
       152:{4,5}:{(125,1),(126,1)}
       153:{1,2,4}:{(127,1),(128,1),(176,1),(177,1)}
       154:{1,3,5}:{(128,1),(129,1),(164,1),(176,1),(177,1),(199,1)}
       155:{3,4}:{(129,1),(130,1),(177,1)}
       156:{1,3,4}:{(131,1),(178,1),(180,1)}
       157:{1,2,5}:{(131,1),(146,1),(178,1),(179,1)}
       158:{3,5}:{(132,1),(147,1),(180,1)}
       159:{1,4}:{(133,1),(180,1)}
       160:{1,2,7}:{(134,1),(138,1),(181,1)}
       161:{3,7}:{(135,1),(139,1)}
       162:{2,4,7}:{(136,1),(140,1),(150,1),(182,1)}
       163:{2,5,7}:{(137,1),(141,1),(151,1),(184,1)}
       164:{1,3,6}:{(138,1),(139,1),(154,1),(181,1),(185,1)}
       165:{3,4,6}:{(139,1),(140,1),(155,1),(182,1),(185,1),(186,1),(205,1)}
       166:{2,4,5}:{(140,1),(141,1),(152,1),(186,1)}
       167:{1,2,7}:{(142,1),(146,1),(187,1)}
       168:{3,7}:{(143,1),(147,1)}
       169:{1,4,7}:{(144,1),(148,1),(150,1),(188,1)}
       170:{1,5,7}:{(145,1),(149,1),(151,1),(190,1)}
       171:{2,3,6}:{(146,1),(147,1),(179,1),(187,1),(191,1)}
       172:{3,4,6}:{(147,1),(148,1),(180,1),(188,1),(191,1),(192,1),(207,1)}
       173:{1,4,5}:{(148,1),(149,1),(152,1),(192,1)}
       174:{4,5,7}:{(150,1),(151,1),(152,1),(193,1)}
       175:{3,5,6}:{(151,1),(184,1),(190,1),(193,1),(205,1),(207,1)}
       176:{1,3}:{(153,1)}
       177:{1,4}:{(154,1),(155,1)}
       178:{1,2,4}:{(156,1),(157,1),(194,1),(195,1)}
       179:{2,3,5}:{(157,1),(158,1),(171,1),(194,1),(195,1),(203,1)}
       180:{3,4}:{(158,1),(159,1),(195,1)}
       181:{1,3,7}:{(160,1),(161,1),(164,1),(196,1)}
       182:{3,4,7}:{(161,1),(162,1),(165,1),(196,1),(197,1)}
       183:{2,4,5,7}:{(162,1),(163,1),(166,1),(174,1),(197,1),(198,1)}
       184:{2,5,6}:{(163,1),(175,1),(198,1),(209,1)}
       185:{1,4,6}:{(164,1),(165,1),(177,1),(196,1),(199,1),(208,1)}
       186:{3,5}:{(165,1),(166,1),(199,1)}
       187:{2,3,7}:{(167,1),(168,1),(171,1),(200,1)}
       188:{3,4,7}:{(168,1),(169,1),(172,1),(200,1),(201,1)}
       189:{1,4,5,7}:{(169,1),(170,1),(173,1),(174,1),(201,1),(202,1)}
       190:{1,5,6}:{(170,1),(175,1),(202,1),(208,1)}
       191:{2,4,6}:{(171,1),(172,1),(195,1),(200,1),(203,1),(209,1)}
       192:{3,5}:{(172,1),(173,1),(203,1)}
       193:{4,6}:{(174,1),(175,1)}
       194:{2,3}:{(178,1)}
       195:{2,4}:{(179,1),(180,1)}
       196:{1,4,7}:{(181,1),(182,1),(185,1),(204,1)}
       197:{3,5,7}:{(182,1),(183,1),(186,1),(204,1),(205,1)}
       198:{2,4,6}:{(183,1),(184,1),(193,1),(205,1)}
       199:{1,5}:{(185,1),(186,1)}
       200:{2,4,7}:{(187,1),(188,1),(191,1),(206,1)}
       201:{3,5,7}:{(188,1),(189,1),(192,1),(206,1),(207,1)}
       202:{1,4,6}:{(189,1),(190,1),(193,1),(207,1)}
       203:{2,5}:{(191,1),(192,1)}
       204:{1,5,7}:{(196,1),(197,1),(199,1),(208,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{2,5,7}:{(200,1),(201,1),(203,1),(209,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{1,6}:{(204,1),(205,1)}
       209:{2,6}:{(206,1),(207,1)}

 541 :  0:{1,2,5,6}:{(2,1),(3,1),(4,1),(34,1),(35,1),(53,1),(54,1)}
        1:{1,2,4,5}:{(3,1),(5,1),(14,1),(21,1),(22,1),(23,1),(34,1),(35,1)}
        2:{3,5,6}:{(0,1),(6,1),(7,1),(8,1),(24,1),(47,1),(48,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(6,1),(8,1),(9,1),(26,1),(27,1),(30,1)}
        4:{1,2,5,7}:{(0,1),(7,1),(9,1),(10,1),(45,1),(46,1)}
        5:{3,5}:{(1,1),(8,1),(11,1)}
        6:{4,6}:{(2,1),(14,1),(16,1)}
        7:{3,5,7}:{(2,1),(4,1),(16,1),(17,1),(20,1),(41,1)}
        8:{3,6}:{(3,1),(5,1),(20,1)}
        9:{1,2,4,7}:{(3,1),(4,1),(16,1),(20,1),(39,1),(40,1),(42,1)}
       10:{1,2,6,7}:{(4,1),(17,1),(53,1),(54,1)}
       11:{3,4}:{(5,1),(21,1),(22,1),(43,1)}
       12:{1,3,5}:{(5,1),(18,1),(21,1),(23,1),(34,1),(43,1),(51,1)}
       13:{2,3,5}:{(5,1),(19,1),(22,1),(23,1),(35,1),(43,1),(51,1)}
       14:{4,5}:{(6,1),(24,1),(56,1)}
       15:{3,4,6}:{(6,1),(8,1),(11,1),(24,1),(26,1),(27,1),(28,1),(47,1),(49,1),(56,1),(61,1)}
       16:{4,7}:{(6,1),(7,1)}
       17:{3,6,7}:{(7,1),(10,1),(29,1),(47,1)}
       18:{1,3,6}:{(8,1),(12,1),(26,1),(30,1),(31,1),(49,1)}
       19:{2,3,6}:{(8,1),(13,1),(27,1),(30,1),(32,1),(49,1)}
       20:{3,7}:{(8,1),(9,1)}
       21:{1,4}:{(11,1),(12,1),(56,1)}
       22:{2,4}:{(11,1),(13,1),(56,1)}
       23:{1,2,5}:{(12,1),(13,1),(30,1),(33,1)}
       24:{3,5}:{(14,1),(15,1),(34,1),(35,1),(62,1)}
       25:{4,5,7}:{(14,1),(16,1),(36,1),(37,1),(41,1),(59,1),(62,1)}
       26:{1,4,6}:{(15,1),(18,1),(21,1),(34,1),(39,1),(53,1)}
       27:{2,4,6}:{(15,1),(19,1),(22,1),(35,1),(40,1),(54,1)}
       28:{3,4,7}:{(15,1),(16,1),(20,1),(36,1),(39,1),(40,1),(55,1),(59,1)}
       29:{4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
       30:{1,2,6}:{(18,1),(19,1),(23,1),(42,1)}
       31:{1,3,7}:{(18,1),(20,1),(39,1),(42,1),(55,1)}
       32:{2,3,7}:{(19,1),(20,1),(40,1),(42,1),(55,1)}
       33:{1,2,4}:{(21,1),(22,1),(23,1),(43,1)}
       34:{1,5}:{(24,1),(26,1)}
       35:{2,5}:{(24,1),(27,1)}
       36:{3,5,7}:{(24,1),(25,1),(28,1),(45,1),(46,1),(47,1)}
       37:{4,6}:{(25,1),(47,1),(48,1)}
       38:{1,2,4,6}:{(26,1),(27,1),(30,1),(33,1),(44,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       39:{1,4,7}:{(26,1),(28,1),(31,1),(45,1)}
       40:{2,4,7}:{(27,1),(28,1),(32,1),(46,1)}
       41:{5,7}:{(29,1),(48,1)}
       42:{1,2,7}:{(30,1),(31,1),(32,1)}
       43:{3}:{(33,1)}
       44:{1,2,5}:{(34,1),(35,1),(38,1),(51,1),(62,1)}
       45:{1,5,7}:{(34,1),(36,1),(39,1),(53,1)}
       46:{2,5,7}:{(35,1),(36,1),(40,1),(54,1)}
       47:{3,6}:{(36,1),(37,1),(53,1),(54,1)}
       48:{5,6}:{(37,1),(41,1),(62,1)}
       49:{3,6}:{(38,1),(43,1),(51,1),(55,1)}
       50:{1,2,4,7}:{(38,1),(39,1),(40,1),(42,1),(52,1),(55,1),(59,1)}
       51:{3,5}:{(44,1),(49,1),(56,1)}
       52:{1,2,5,7}:{(44,1),(45,1),(46,1),(50,1),(57,1),(58,1)}
       53:{1,6}:{(45,1),(47,1)}
       54:{2,6}:{(46,1),(47,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{4}:{(51,1)}
       57:{3,5,7}:{(51,1),(52,1),(55,1),(59,1),(60,1),(62,1)}
       58:{1,2,6}:{(52,1),(53,1),(54,1),(60,1)}
       59:{4,7}:{(56,1),(57,1),(61,1)}
       60:{3,6}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 542 :   0:{3,4,5,7}:{(1,1),(2,1),(3,1),(18,1),(26,1),(85,1),(118,1),(122,1),(126,1),(128,1),(139,1)}
         1:{1,4,5,7}:{(0,1),(7,1),(10,1),(39,1),(57,1),(91,1),(145,1),(153,1)}
         2:{2,4,5,7}:{(0,1),(8,1),(11,1),(40,1),(88,1),(94,1),(115,1),(149,1)}
         3:{3,4,6}:{(0,1),(10,1),(11,1),(12,1),(51,1),(110,1)}
         4:{1,3,4,7}:{(7,1),(13,1),(14,1),(50,1),(91,1),(148,1),(188,1),(193,1)}
         5:{3,4,6,7}:{(3,1),(16,1),(17,1),(18,1),(21,1),(65,1),(69,1),(70,1),(122,1),(126,1),(128,1)}
         6:{3,5,6,7}:{(18,1),(19,1),(20,1),(21,1),(69,1),(70,1)}
         7:{1,3,5,7}:{(1,1),(4,1),(22,1),(23,1),(26,1),(33,1),(168,1),(178,1),(204,1)}
         8:{2,3,5,7}:{(2,1),(15,1),(24,1),(25,1),(26,1),(60,1),(142,1),(174,1),(206,1)}
         9:{1,2,4,5,7}:{(1,1),(2,1),(22,1),(24,1),(26,1),(27,1),(66,1),(71,1),(75,1),(84,1),(117,1),(121,1),(125,1),(128,1),(131,1),(135,1),(139,1),(171,1),(176,1),(204,1),(206,1)}
        10:{1,4,6}:{(1,1),(3,1),(23,1),(28,1)}
        11:{2,4,6}:{(2,1),(3,1),(25,1),(29,1)}
        12:{3,5,6}:{(3,1),(18,1),(28,1),(29,1),(30,1)}
        13:{1,2,4,7}:{(4,1),(22,1),(31,1),(32,1),(71,1),(202,1)}
        14:{1,3,4,6}:{(4,1),(23,1),(32,1),(33,1),(74,1),(79,1),(133,1),(140,1),(182,1)}
        15:{2,3,4,7}:{(8,1),(34,1),(35,1),(50,1),(94,1),(152,1),(165,1),(197,1)}
        16:{1,4,6,7}:{(5,1),(10,1),(36,1),(39,1),(91,1),(100,1),(153,1)}
        17:{2,4,6,7}:{(5,1),(11,1),(37,1),(40,1),(94,1),(99,1),(149,1)}
        18:{3,5,7}:{(5,1),(12,1),(39,1),(40,1),(41,1)}
        19:{1,5,6,7}:{(6,1),(39,1),(42,1),(100,1)}
        20:{2,5,6,7}:{(6,1),(40,1),(43,1),(99,1)}
        21:{4,6,7}:{(6,1),(41,1)}
        22:{1,2,5,7}:{(7,1),(13,1),(44,1),(45,1),(56,1),(190,1),(198,1)}
        23:{1,3,6}:{(7,1),(10,1),(45,1),(51,1),(208,1)}
        24:{1,2,5,7}:{(8,1),(34,1),(47,1),(48,1),(87,1),(166,1),(194,1)}
        25:{2,3,6}:{(8,1),(11,1),(48,1),(51,1),(209,1)}
        26:{3,5,7}:{(9,1),(50,1),(51,1),(109,1),(114,1),(144,1),(148,1),(152,1)}
        27:{1,2,4,6}:{(9,1),(10,1),(11,1),(45,1),(48,1),(51,1),(52,1),(101,1),(105,1),(110,1),(191,1),(195,1),(208,1),(209,1)}
        28:{1,5,6}:{(10,1),(12,1),(39,1)}
        29:{2,5,6}:{(11,1),(12,1),(40,1)}
        30:{4,5,6}:{(12,1),(41,1),(110,1)}
        31:{2,3,7}:{(13,1),(55,1),(148,1),(207,1)}
        32:{1,2,4,6}:{(13,1),(14,1),(45,1),(55,1),(56,1),(101,1),(113,1)}
        33:{1,3,5}:{(14,1),(56,1),(57,1),(109,1),(114,1),(199,1)}
        34:{1,2,4,7}:{(15,1),(24,1),(58,1),(59,1),(75,1),(187,1)}
        35:{2,3,4,6}:{(15,1),(25,1),(59,1),(60,1),(78,1),(79,1),(137,1),(167,1),(185,1)}
        36:{1,3,6,7}:{(16,1),(23,1),(61,1),(62,1),(65,1),(69,1),(178,1)}
        37:{2,3,6,7}:{(17,1),(25,1),(63,1),(64,1),(65,1),(70,1),(174,1)}
        38:{1,2,4,6,7}:{(16,1),(17,1),(27,1),(61,1),(63,1),(65,1),(66,1),(119,1),(121,1),(123,1),(125,1),(128,1)}
        39:{1,5,7}:{(16,1),(18,1),(28,1)}
        40:{2,5,7}:{(17,1),(18,1),(29,1)}
        41:{4,5,7}:{(18,1),(21,1),(30,1),(128,1)}
        42:{1,4,6,7}:{(19,1),(21,1),(67,1),(69,1)}
        43:{2,4,6,7}:{(20,1),(21,1),(68,1),(70,1)}
        44:{2,3,5,7}:{(22,1),(26,1),(31,1),(71,1),(72,1),(83,1),(131,1),(169,1),(179,1),(206,1)}
        45:{1,2,6}:{(22,1),(23,1),(72,1)}
        46:{1,3,5,6}:{(23,1),(28,1),(33,1),(62,1),(73,1),(74,1),(80,1),(81,1),(133,1)}
        47:{1,3,5,7}:{(24,1),(26,1),(58,1),(75,1),(76,1),(116,1),(135,1),(141,1),(173,1),(204,1)}
        48:{1,2,6}:{(24,1),(25,1),(76,1)}
        49:{2,3,5,6}:{(25,1),(29,1),(60,1),(64,1),(77,1),(78,1),(80,1),(82,1),(137,1)}
        50:{3,4,7}:{(26,1),(71,1),(75,1),(79,1),(128,1),(140,1),(167,1)}
        51:{3,6}:{(26,1),(27,1)}
        52:{1,2,5,6}:{(27,1),(28,1),(29,1),(66,1),(80,1),(131,1),(135,1),(170,1),(175,1)}
        53:{1,4,5,6}:{(28,1),(30,1),(67,1),(74,1),(81,1)}
        54:{2,4,5,6}:{(29,1),(30,1),(68,1),(78,1),(82,1)}
        55:{2,3,6}:{(31,1),(32,1),(83,1),(133,1)}
        56:{1,2,5}:{(32,1),(33,1),(83,1),(131,1)}
        57:{1,4,5}:{(33,1),(74,1),(85,1),(139,1)}
        58:{1,3,7}:{(34,1),(86,1),(152,1),(201,1)}
        59:{1,2,4,6}:{(34,1),(35,1),(48,1),(86,1),(87,1),(105,1),(143,1)}
        60:{2,3,5}:{(35,1),(87,1),(88,1),(109,1),(144,1),(200,1)}
        61:{1,2,6,7}:{(36,1),(45,1),(89,1),(90,1),(99,1),(198,1),(208,1)}
        62:{1,3,5,7}:{(36,1),(39,1),(46,1),(90,1),(91,1),(96,1),(97,1),(148,1)}
        63:{1,2,6,7}:{(37,1),(48,1),(92,1),(93,1),(100,1),(194,1),(209,1)}
        64:{2,3,5,7}:{(37,1),(40,1),(49,1),(93,1),(94,1),(96,1),(98,1),(152,1)}
        65:{3,6,7}:{(38,1),(51,1),(96,1),(148,1),(152,1)}
        66:{1,2,5,7}:{(38,1),(39,1),(40,1),(52,1),(96,1),(146,1),(150,1)}
        67:{1,4,5,7}:{(39,1),(41,1),(42,1),(53,1),(91,1),(97,1)}
        68:{2,4,5,7}:{(40,1),(41,1),(43,1),(54,1),(94,1),(98,1)}
        69:{3,6,7}:{(42,1),(97,1),(99,1)}
        70:{3,6,7}:{(43,1),(98,1),(100,1)}
        71:{2,4,7}:{(44,1),(50,1),(101,1),(113,1),(189,1)}
        72:{2,3,6}:{(44,1),(45,1),(51,1),(101,1),(209,1)}
        73:{1,2,5,6}:{(45,1),(46,1),(56,1),(90,1),(102,1),(103,1),(111,1),(199,1),(208,1)}
        74:{1,4,6}:{(46,1),(57,1),(91,1),(104,1),(110,1)}
        75:{1,4,7}:{(47,1),(50,1),(105,1),(143,1),(164,1)}
        76:{1,3,6}:{(47,1),(48,1),(51,1),(105,1),(208,1)}
        77:{1,2,5,6}:{(48,1),(49,1),(87,1),(93,1),(106,1),(107,1),(112,1),(200,1),(209,1)}
        78:{2,4,6}:{(49,1),(88,1),(94,1),(108,1),(110,1)}
        79:{3,4,6}:{(50,1),(51,1),(101,1),(105,1),(109,1),(110,1)}
        80:{3,5,6}:{(51,1),(52,1),(96,1),(109,1),(110,1)}
        81:{3,5,6}:{(53,1),(97,1),(104,1),(111,1)}
        82:{3,5,6}:{(54,1),(98,1),(108,1),(112,1)}
        83:{2,3,5}:{(55,1),(56,1),(113,1),(114,1)}
        84:{1,2,4,5}:{(56,1),(57,1),(103,1),(113,1),(114,1),(115,1),(156,1),(164,1),(166,1),(199,1)}
        85:{3,4,5}:{(57,1),(104,1),(114,1),(115,1)}
        86:{1,3,6}:{(58,1),(59,1),(116,1),(137,1)}
        87:{1,2,5}:{(59,1),(60,1),(116,1),(135,1)}
        88:{2,4,5}:{(60,1),(78,1),(118,1),(139,1)}
        89:{2,3,6,7}:{(61,1),(65,1),(72,1),(119,1),(120,1),(179,1),(203,1)}
        90:{1,2,5,7}:{(61,1),(62,1),(73,1),(120,1),(121,1),(129,1),(204,1)}
        91:{1,4,7}:{(62,1),(74,1),(122,1),(128,1)}
        92:{1,3,6,7}:{(63,1),(65,1),(76,1),(123,1),(124,1),(173,1),(205,1)}
        93:{1,2,5,7}:{(63,1),(64,1),(77,1),(124,1),(125,1),(130,1),(206,1)}
        94:{2,4,7}:{(64,1),(78,1),(126,1),(128,1)}
        95:{3,4,6,7}:{(65,1),(79,1),(119,1),(123,1),(127,1),(128,1),(172,1),(177,1),(180,1),(203,1),(205,1)}
        96:{3,5,7}:{(65,1),(66,1),(80,1),(128,1)}
        97:{3,5,7}:{(67,1),(69,1),(81,1),(122,1),(129,1)}
        98:{3,5,7}:{(68,1),(70,1),(82,1),(126,1),(130,1)}
        99:{2,6,7}:{(69,1),(129,1)}
       100:{1,6,7}:{(70,1),(130,1)}
       101:{2,4,6}:{(71,1),(72,1),(79,1),(131,1)}
       102:{2,3,5,6}:{(72,1),(73,1),(80,1),(83,1),(120,1),(131,1),(132,1),(133,1),(170,1),(181,1),(203,1)}
       103:{1,2,4,6}:{(73,1),(74,1),(84,1),(121,1),(132,1),(133,1),(134,1),(182,1),(183,1)}
       104:{3,4,6}:{(74,1),(81,1),(85,1),(122,1),(133,1),(134,1)}
       105:{1,4,6}:{(75,1),(76,1),(79,1),(135,1)}
       106:{1,3,5,6}:{(76,1),(77,1),(80,1),(116,1),(124,1),(135,1),(136,1),(137,1),(175,1),(184,1),(205,1)}
       107:{1,2,4,6}:{(77,1),(78,1),(117,1),(125,1),(136,1),(137,1),(138,1),(185,1),(186,1)}
       108:{3,4,6}:{(78,1),(82,1),(118,1),(126,1),(137,1),(138,1)}
       109:{3,5}:{(79,1),(131,1),(135,1),(139,1)}
       110:{4,6}:{(80,1),(128,1),(139,1)}
       111:{2,5,6}:{(81,1),(129,1),(134,1)}
       112:{1,5,6}:{(82,1),(130,1),(138,1)}
       113:{2,4}:{(83,1),(140,1)}
       114:{3,5}:{(84,1),(133,1),(140,1)}
       115:{2,4,5}:{(85,1),(134,1),(142,1)}
       116:{1,3,5}:{(86,1),(87,1),(143,1),(144,1)}
       117:{1,2,4,5}:{(87,1),(88,1),(107,1),(143,1),(144,1),(145,1),(160,1),(189,1),(190,1),(200,1)}
       118:{3,4,5}:{(88,1),(108,1),(144,1),(145,1)}
       119:{2,4,6,7}:{(89,1),(95,1),(101,1),(146,1),(147,1),(191,1),(197,1),(209,1)}
       120:{2,3,5,7}:{(89,1),(90,1),(96,1),(102,1),(146,1),(147,1),(148,1),(192,1)}
       121:{1,2,4,7}:{(90,1),(91,1),(103,1),(147,1),(148,1),(149,1),(193,1),(194,1)}
       122:{3,4,7}:{(91,1),(97,1),(104,1),(148,1),(149,1)}
       123:{1,4,6,7}:{(92,1),(95,1),(105,1),(150,1),(151,1),(193,1),(195,1),(208,1)}
       124:{1,3,5,7}:{(92,1),(93,1),(96,1),(106,1),(150,1),(151,1),(152,1),(196,1)}
       125:{1,2,4,7}:{(93,1),(94,1),(107,1),(151,1),(152,1),(153,1),(197,1),(198,1)}
       126:{3,4,7}:{(94,1),(98,1),(108,1),(152,1),(153,1)}
       127:{3,5,7}:{(95,1),(109,1),(146,1),(150,1),(154,1),(155,1)}
       128:{4,7}:{(96,1),(110,1)}
       129:{2,5,7}:{(97,1),(99,1),(111,1),(149,1)}
       130:{1,5,7}:{(98,1),(100,1),(112,1),(153,1)}
       131:{2,5}:{(101,1),(109,1)}
       132:{2,4,6}:{(102,1),(110,1),(113,1),(147,1),(156,1),(157,1)}
       133:{3,6}:{(103,1),(114,1),(148,1)}
       134:{2,4,6}:{(104,1),(111,1),(115,1),(149,1),(159,1)}
       135:{1,5}:{(105,1),(109,1)}
       136:{1,4,6}:{(106,1),(110,1),(143,1),(151,1),(160,1),(161,1)}
       137:{3,6}:{(107,1),(144,1),(152,1)}
       138:{1,4,6}:{(108,1),(112,1),(145,1),(153,1),(162,1)}
       139:{4,5}:{(109,1),(110,1)}
       140:{3,4}:{(113,1),(114,1),(164,1)}
       141:{1,3,5}:{(114,1),(158,1),(164,1),(166,1),(199,1),(201,1)}
       142:{2,3,5}:{(114,1),(115,1),(159,1),(165,1),(166,1)}
       143:{1,4}:{(116,1),(167,1)}
       144:{3,5}:{(117,1),(137,1),(167,1)}
       145:{1,4,5}:{(118,1),(138,1),(168,1)}
       146:{2,5,7}:{(119,1),(127,1),(131,1),(170,1)}
       147:{2,4,7}:{(120,1),(128,1),(132,1),(172,1)}
       148:{3,7}:{(121,1),(133,1)}
       149:{2,4,7}:{(122,1),(129,1),(134,1),(174,1)}
       150:{1,5,7}:{(123,1),(127,1),(135,1),(175,1)}
       151:{1,4,7}:{(124,1),(128,1),(136,1),(177,1)}
       152:{3,7}:{(125,1),(137,1)}
       153:{1,4,7}:{(126,1),(130,1),(138,1),(178,1)}
       154:{3,5,6}:{(127,1),(170,1),(175,1),(180,1),(203,1),(205,1)}
       155:{4,5,7}:{(127,1),(128,1),(139,1),(180,1)}
       156:{2,4,5}:{(131,1),(132,1),(139,1),(181,1)}
       157:{3,4,6}:{(132,1),(133,1),(140,1),(172,1),(181,1),(182,1),(203,1)}
       158:{1,3,6}:{(133,1),(141,1),(173,1),(182,1),(183,1)}
       159:{2,3,6}:{(133,1),(134,1),(142,1),(174,1),(183,1)}
       160:{1,4,5}:{(135,1),(136,1),(139,1),(184,1)}
       161:{3,4,6}:{(136,1),(137,1),(167,1),(177,1),(184,1),(185,1),(205,1)}
       162:{1,3,6}:{(137,1),(138,1),(168,1),(178,1),(186,1)}
       163:{2,3,6}:{(137,1),(169,1),(179,1),(185,1),(186,1)}
       164:{1,4}:{(140,1),(141,1)}
       165:{2,3,4}:{(140,1),(142,1),(187,1)}
       166:{1,2,5}:{(141,1),(142,1),(183,1),(187,1)}
       167:{3,4}:{(143,1),(144,1),(189,1)}
       168:{1,3,5}:{(144,1),(145,1),(162,1),(188,1),(190,1)}
       169:{2,3,5}:{(144,1),(163,1),(189,1),(190,1),(200,1),(207,1)}
       170:{2,5,6}:{(146,1),(154,1),(191,1),(209,1)}
       171:{2,4,5,7}:{(146,1),(147,1),(155,1),(156,1),(191,1),(192,1)}
       172:{3,4,7}:{(147,1),(148,1),(157,1),(192,1),(193,1)}
       173:{1,3,7}:{(148,1),(158,1),(193,1),(194,1)}
       174:{2,3,7}:{(148,1),(149,1),(159,1),(194,1)}
       175:{1,5,6}:{(150,1),(154,1),(195,1),(208,1)}
       176:{1,4,5,7}:{(150,1),(151,1),(155,1),(160,1),(195,1),(196,1)}
       177:{3,4,7}:{(151,1),(152,1),(161,1),(196,1),(197,1)}
       178:{1,3,7}:{(152,1),(153,1),(162,1),(198,1)}
       179:{2,3,7}:{(152,1),(163,1),(197,1),(198,1)}
       180:{4,6}:{(154,1),(155,1)}
       181:{3,5}:{(156,1),(157,1),(199,1)}
       182:{1,4,6}:{(157,1),(158,1),(164,1),(193,1),(199,1),(208,1)}
       183:{1,2,6}:{(158,1),(159,1),(166,1),(194,1)}
       184:{3,5}:{(160,1),(161,1),(200,1)}
       185:{2,4,6}:{(161,1),(163,1),(189,1),(197,1),(200,1),(209,1)}
       186:{1,2,6}:{(162,1),(163,1),(190,1),(198,1)}
       187:{1,2,4}:{(164,1),(165,1),(166,1),(201,1)}
       188:{1,3,4}:{(167,1),(168,1),(202,1)}
       189:{2,4}:{(167,1),(169,1)}
       190:{1,2,5}:{(168,1),(169,1),(186,1),(202,1)}
       191:{2,4,6}:{(170,1),(171,1),(180,1),(203,1)}
       192:{3,5,7}:{(171,1),(172,1),(181,1),(203,1),(204,1)}
       193:{1,4,7}:{(172,1),(173,1),(182,1),(204,1)}
       194:{1,2,7}:{(173,1),(174,1),(183,1)}
       195:{1,4,6}:{(175,1),(176,1),(180,1),(205,1)}
       196:{3,5,7}:{(176,1),(177,1),(184,1),(205,1),(206,1)}
       197:{2,4,7}:{(177,1),(179,1),(185,1),(206,1)}
       198:{1,2,7}:{(178,1),(179,1),(186,1)}
       199:{1,5}:{(181,1),(182,1)}
       200:{2,5}:{(184,1),(185,1)}
       201:{1,3}:{(187,1)}
       202:{1,2,4}:{(188,1),(189,1),(190,1),(207,1)}
       203:{3,6}:{(191,1),(192,1),(208,1)}
       204:{1,5,7}:{(192,1),(193,1),(199,1),(208,1)}
       205:{3,6}:{(195,1),(196,1),(209,1)}
       206:{2,5,7}:{(196,1),(197,1),(200,1),(209,1)}
       207:{2,3}:{(202,1)}
       208:{1,6}:{(203,1),(204,1)}
       209:{2,6}:{(205,1),(206,1)}

 543 :  0:{2,3,4}:{(2,1),(3,1),(38,1)}
        1:{3,4,5}:{(5,1),(6,1),(7,1),(24,1),(71,1)}
        2:{2,3,5}:{(0,1),(6,1),(8,1),(9,1),(24,1)}
        3:{1,2,4}:{(0,1),(8,1),(10,1),(32,1)}
        4:{1,3,4}:{(11,1),(12,1),(38,1)}
        5:{1,4,5}:{(1,1),(11,1),(14,1)}
        6:{2,4,5}:{(1,1),(2,1),(15,1)}
        7:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(17,1),(39,1),(64,1)}
        8:{1,2,5}:{(2,1),(3,1),(18,1),(19,1)}
        9:{2,3,6}:{(2,1),(15,1),(19,1),(20,1),(39,1)}
       10:{1,3}:{(3,1)}
       11:{1,3,5}:{(4,1),(5,1),(21,1),(22,1),(24,1)}
       12:{1,2,4}:{(4,1),(21,1),(23,1),(48,1)}
       13:{1,2,4,5}:{(5,1),(6,1),(8,1),(21,1),(24,1),(25,1),(32,1),(48,1),(58,1),(69,1),(71,1)}
       14:{1,4,6}:{(5,1),(7,1),(22,1),(26,1),(27,1)}
       15:{2,4,6}:{(6,1),(7,1),(9,1),(28,1),(29,1)}
       16:{3,5,6}:{(7,1),(26,1),(28,1),(30,1),(31,1)}
       17:{3,4,7}:{(7,1),(27,1),(29,1),(31,1),(53,1),(73,1)}
       18:{1,3,5}:{(8,1),(10,1),(24,1),(32,1),(33,1),(58,1)}
       19:{1,2,6}:{(8,1),(9,1),(33,1),(34,1)}
       20:{2,3,7}:{(9,1),(29,1),(34,1),(53,1)}
       21:{1,2,5}:{(11,1),(12,1),(35,1),(36,1)}
       22:{1,3,6}:{(11,1),(14,1),(36,1),(37,1),(39,1)}
       23:{2,3}:{(12,1)}
       24:{3,5}:{(13,1),(38,1),(39,1)}
       25:{1,2,4,6}:{(13,1),(14,1),(15,1),(19,1),(36,1),(39,1),(40,1),(41,1),(46,1),(60,1),(64,1)}
       26:{1,5,6}:{(14,1),(16,1),(42,1)}
       27:{1,4,7}:{(14,1),(17,1),(37,1),(42,1)}
       28:{2,5,6}:{(15,1),(16,1),(43,1)}
       29:{2,4,7}:{(15,1),(17,1),(20,1),(43,1)}
       30:{4,5,6}:{(16,1),(44,1),(64,1),(83,1)}
       31:{3,5,7}:{(16,1),(17,1),(42,1),(43,1),(44,1),(45,1)}
       32:{1,4}:{(18,1),(38,1)}
       33:{1,3,6}:{(18,1),(19,1),(39,1),(46,1),(47,1)}
       34:{1,2,7}:{(19,1),(20,1),(47,1)}
       35:{2,3,5}:{(21,1),(23,1),(24,1),(48,1),(49,1),(69,1)}
       36:{1,2,6}:{(21,1),(22,1),(49,1),(50,1)}
       37:{1,3,7}:{(22,1),(27,1),(50,1),(53,1)}
       38:{3,4}:{(24,1),(32,1),(48,1)}
       39:{3,6}:{(24,1),(25,1),(53,1)}
       40:{1,2,5,6}:{(25,1),(26,1),(28,1),(52,1),(54,1),(58,1),(69,1),(75,1),(80,1)}
       41:{1,2,4,7}:{(25,1),(27,1),(29,1),(34,1),(50,1),(53,1),(54,1),(59,1),(70,1),(73,1)}
       42:{1,5,7}:{(26,1),(27,1),(31,1),(55,1)}
       43:{2,5,7}:{(28,1),(29,1),(31,1),(56,1)}
       44:{4,5,7}:{(30,1),(31,1),(57,1),(73,1),(82,1)}
       45:{3,6,7}:{(31,1),(55,1),(56,1),(57,1)}
       46:{1,4,6}:{(32,1),(33,1),(51,1),(58,1),(59,1),(75,1)}
       47:{1,3,7}:{(33,1),(34,1),(53,1),(59,1)}
       48:{2,4}:{(35,1),(38,1)}
       49:{2,3,6}:{(35,1),(36,1),(39,1),(60,1),(61,1)}
       50:{1,2,7}:{(36,1),(37,1),(61,1)}
       51:{3,4,6}:{(38,1),(39,1),(46,1),(60,1),(62,1),(63,1),(64,1),(78,1)}
       52:{3,5,6}:{(39,1),(40,1),(62,1),(64,1),(65,1),(78,1),(83,1)}
       53:{3,7}:{(39,1),(41,1)}
       54:{1,2,5,7}:{(40,1),(41,1),(42,1),(43,1),(65,1),(66,1),(68,1),(76,1)}
       55:{1,6,7}:{(42,1),(45,1)}
       56:{2,6,7}:{(43,1),(45,1)}
       57:{4,6,7}:{(44,1),(45,1),(67,1)}
       58:{1,5}:{(46,1),(62,1)}
       59:{1,4,7}:{(46,1),(47,1),(63,1),(68,1)}
       60:{2,4,6}:{(48,1),(49,1),(51,1),(69,1),(70,1),(80,1)}
       61:{2,3,7}:{(49,1),(50,1),(53,1),(70,1)}
       62:{3,5}:{(51,1),(58,1),(69,1),(71,1)}
       63:{3,4,7}:{(51,1),(53,1),(59,1),(70,1),(72,1),(73,1)}
       64:{4,6}:{(52,1),(71,1),(73,1)}
       65:{3,5,7}:{(52,1),(53,1),(54,1),(73,1),(74,1),(82,1)}
       66:{1,2,6,7}:{(54,1),(55,1),(56,1),(74,1),(75,1),(80,1)}
       67:{5,6,7}:{(57,1),(82,1)}
       68:{1,5,7}:{(58,1),(59,1),(72,1),(75,1)}
       69:{2,5}:{(60,1),(62,1)}
       70:{2,4,7}:{(60,1),(61,1),(63,1),(76,1)}
       71:{4,5}:{(62,1),(64,1)}
       72:{3,5,7}:{(62,1),(63,1),(68,1),(76,1),(77,1),(78,1)}
       73:{4,7}:{(64,1),(65,1)}
       74:{3,6,7}:{(65,1),(66,1),(78,1),(79,1)}
       75:{1,6}:{(68,1),(78,1)}
       76:{2,5,7}:{(69,1),(70,1),(72,1),(80,1)}
       77:{4,5,7}:{(71,1),(72,1),(73,1),(81,1),(82,1)}
       78:{3,6}:{(72,1),(75,1),(80,1),(81,1)}
       79:{4,6,7}:{(73,1),(74,1),(81,1),(82,1)}
       80:{2,6}:{(76,1),(78,1)}
       81:{4,6}:{(77,1),(78,1),(83,1)}
       82:{5,7}:{(79,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

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

 545 :   0:{2,4,5,7}:{(2,1),(3,1),(5,1),(14,1),(21,1),(37,1),(38,1)}
         1:{2,4,6,7}:{(3,1),(4,1),(5,1),(21,1)}
         2:{3,5,7}:{(0,1),(6,1),(7,1),(9,1),(26,1)}
         3:{2,4,6}:{(0,1),(9,1),(10,1),(30,1)}
         4:{3,6,7}:{(1,1),(9,1),(11,1),(12,1)}
         5:{2,5,7}:{(1,1),(10,1),(12,1),(53,1)}
         6:{3,4,7}:{(2,1),(13,1),(14,1),(15,1),(21,1),(34,1),(42,1)}
         7:{1,5,7}:{(2,1),(13,1),(17,1),(36,1)}
         8:{2,3,5,7}:{(2,1),(14,1),(16,1),(18,1),(34,1),(37,1),(60,1)}
         9:{3,6}:{(2,1),(3,1),(17,1)}
        10:{2,5,6}:{(3,1),(5,1),(19,1),(37,1),(64,1)}
        11:{1,6,7}:{(4,1),(17,1),(20,1)}
        12:{3,5,7}:{(4,1),(5,1),(19,1),(20,1),(21,1),(42,1)}
        13:{1,4,7}:{(6,1),(7,1),(22,1),(24,1)}
        14:{2,4,7}:{(6,1),(8,1),(25,1),(53,1),(72,1)}
        15:{3,4,6}:{(6,1),(9,1),(24,1),(25,1),(26,1),(30,1),(47,1),(52,1),(69,1),(72,1)}
        16:{1,2,5,7}:{(7,1),(8,1),(23,1),(27,1),(28,1),(48,1),(65,1)}
        17:{1,6}:{(7,1),(9,1)}
        18:{2,3,6}:{(8,1),(9,1),(25,1),(28,1),(47,1),(90,1)}
        19:{3,5,6}:{(9,1),(10,1),(12,1),(26,1),(29,1),(30,1),(52,1)}
        20:{1,5,7}:{(11,1),(12,1),(29,1),(31,1)}
        21:{4,7}:{(12,1),(30,1)}
        22:{1,3,7}:{(13,1),(32,1),(33,1),(34,1),(42,1)}
        23:{1,2,4,7}:{(13,1),(14,1),(16,1),(32,1),(34,1),(35,1),(39,1),(54,1)}
        24:{1,4,6}:{(13,1),(15,1),(17,1),(33,1),(36,1),(57,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(37,1),(64,1),(80,1)}
        26:{3,5}:{(15,1),(36,1),(37,1),(38,1)}
        27:{1,3,5,7}:{(16,1),(34,1),(39,1),(40,1),(58,1),(60,1),(63,1)}
        28:{1,2,6}:{(16,1),(17,1),(18,1),(40,1),(76,1),(97,1)}
        29:{1,5,6}:{(17,1),(19,1),(20,1),(36,1),(41,1)}
        30:{4,6}:{(19,1),(21,1),(38,1)}
        31:{1,4,7}:{(20,1),(21,1),(41,1),(42,1)}
        32:{1,2,7}:{(22,1),(43,1),(44,1),(53,1),(104,1)}
        33:{1,3,6}:{(22,1),(24,1),(44,1),(45,1),(47,1),(52,1)}
        34:{3,7}:{(23,1),(47,1)}
        35:{1,2,4,6}:{(23,1),(24,1),(25,1),(28,1),(44,1),(47,1),(48,1),(51,1),(66,1),(68,1),(72,1)}
        36:{1,5}:{(24,1),(26,1)}
        37:{2,5}:{(25,1),(26,1)}
        38:{4,5}:{(26,1),(30,1),(72,1)}
        39:{1,4,7}:{(27,1),(46,1),(51,1),(72,1),(104,1)}
        40:{1,3,6}:{(27,1),(28,1),(47,1),(51,1),(70,1),(89,1)}
        41:{1,4,6}:{(29,1),(30,1),(31,1),(49,1),(52,1)}
        42:{3,7}:{(31,1),(52,1),(53,1)}
        43:{2,3,7}:{(32,1),(34,1),(54,1),(55,1),(102,1)}
        44:{1,2,6}:{(32,1),(33,1),(55,1),(56,1),(64,1),(103,1)}
        45:{1,3,5}:{(33,1),(36,1),(56,1),(57,1),(60,1),(61,1),(79,1)}
        46:{3,4,7}:{(34,1),(39,1),(54,1),(58,1),(59,1),(98,1),(102,1)}
        47:{3,6}:{(34,1),(35,1),(60,1),(79,1)}
        48:{1,2,5}:{(35,1),(36,1),(37,1),(60,1),(63,1),(77,1)}
        49:{1,4,5}:{(36,1),(38,1),(41,1),(57,1),(61,1)}
        50:{1,4,5,7}:{(39,1),(58,1),(62,1),(63,1),(83,1),(84,1),(98,1)}
        51:{1,4,6}:{(39,1),(40,1),(59,1),(63,1),(96,1),(103,1)}
        52:{3,6}:{(41,1),(42,1),(61,1),(64,1)}
        53:{2,7}:{(42,1),(64,1)}
        54:{2,4,7}:{(43,1),(46,1),(65,1),(66,1)}
        55:{2,3,6}:{(43,1),(44,1),(47,1),(66,1),(67,1),(100,1)}
        56:{1,2,5}:{(44,1),(45,1),(67,1),(68,1),(73,1),(101,1)}
        57:{1,4}:{(45,1),(69,1),(72,1)}
        58:{3,5,7}:{(46,1),(50,1),(65,1),(70,1),(71,1)}
        59:{3,4,6}:{(46,1),(47,1),(51,1),(66,1),(70,1),(71,1),(72,1),(88,1),(92,1),(100,1)}
        60:{3,5}:{(47,1),(48,1),(72,1)}
        61:{3,5}:{(49,1),(52,1),(69,1),(73,1)}
        62:{1,4,6}:{(50,1),(70,1),(75,1),(92,1)}
        63:{1,5}:{(51,1),(71,1)}
        64:{2,6}:{(52,1),(53,1),(73,1)}
        65:{2,5,7}:{(54,1),(58,1),(76,1),(77,1)}
        66:{2,4,6}:{(54,1),(55,1),(59,1),(76,1),(77,1),(78,1)}
        67:{2,3,5}:{(55,1),(56,1),(60,1),(77,1),(78,1),(79,1),(95,1)}
        68:{1,2,4}:{(56,1),(57,1),(78,1),(79,1),(80,1),(96,1),(97,1)}
        69:{3,4}:{(57,1),(61,1),(79,1),(80,1)}
        70:{3,6}:{(58,1),(62,1),(76,1)}
        71:{3,5}:{(59,1),(63,1),(77,1),(83,1)}
        72:{4}:{(60,1)}
        73:{2,5}:{(61,1),(64,1),(80,1)}
        74:{1,4,6,7}:{(62,1),(81,1),(84,1),(98,1)}
        75:{1,5,6}:{(62,1),(63,1),(82,1),(84,1),(103,1)}
        76:{2,6}:{(65,1),(70,1)}
        77:{2,5}:{(66,1),(71,1)}
        78:{2,4}:{(67,1),(72,1),(88,1)}
        79:{3}:{(68,1)}
        80:{2,4}:{(69,1),(73,1),(90,1)}
        81:{3,6,7}:{(70,1),(74,1),(85,1),(91,1)}
        82:{3,5,6}:{(70,1),(71,1),(75,1),(86,1),(91,1),(92,1),(100,1)}
        83:{4,5}:{(71,1),(72,1),(92,1)}
        84:{1,5,7}:{(74,1),(75,1),(91,1),(104,1)}
        85:{2,6,7}:{(76,1),(81,1),(93,1)}
        86:{2,5,6}:{(76,1),(77,1),(82,1),(93,1),(94,1)}
        87:{2,4,5}:{(77,1),(78,1),(83,1),(94,1),(95,1)}
        88:{3,4}:{(78,1),(79,1),(95,1),(96,1)}
        89:{1,3}:{(79,1),(96,1),(97,1)}
        90:{2,3}:{(79,1),(80,1),(97,1)}
        91:{3,5,7}:{(81,1),(82,1),(84,1),(93,1),(98,1),(102,1)}
        92:{4,6}:{(82,1),(83,1),(98,1)}
        93:{2,5,7}:{(85,1),(86,1),(91,1),(99,1)}
        94:{2,4,6}:{(86,1),(87,1),(92,1),(99,1),(100,1)}
        95:{3,5}:{(87,1),(88,1),(100,1),(101,1)}
        96:{1,4}:{(88,1),(89,1),(101,1)}
        97:{1,2}:{(89,1),(90,1)}
        98:{4,7}:{(91,1),(92,1)}
        99:{2,4,7}:{(93,1),(94,1),(98,1),(102,1)}
       100:{3,6}:{(94,1),(95,1),(102,1),(103,1)}
       101:{1,5}:{(95,1),(96,1),(103,1)}
       102:{3,7}:{(99,1),(100,1),(104,1)}
       103:{1,6}:{(100,1),(101,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 546 :   0:{3,4,6,7}:{(3,1),(4,1),(5,1),(27,1),(28,1),(37,1),(68,1),(71,1),(72,1),(74,1),(125,1)}
         1:{1,3,6,7}:{(3,1),(6,1),(7,1),(28,1),(71,1),(122,1),(126,1)}
         2:{1,3,5,6}:{(7,1),(8,1),(9,1),(25,1),(33,1),(39,1),(69,1),(71,1),(79,1),(126,1),(160,1),(172,1)}
         3:{1,4,6,7}:{(0,1),(1,1),(13,1),(19,1),(46,1),(96,1),(100,1),(146,1)}
         4:{2,4,6,7}:{(0,1),(10,1),(14,1),(44,1),(47,1),(58,1),(99,1),(147,1)}
         5:{3,5,7}:{(0,1),(11,1),(13,1),(14,1),(15,1),(145,1)}
         6:{1,2,6,7}:{(1,1),(17,1),(18,1),(99,1),(144,1),(148,1),(151,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(13,1),(18,1),(19,1),(49,1),(51,1),(57,1)}
         8:{1,2,5,6}:{(2,1),(18,1),(20,1),(21,1),(54,1),(99,1),(108,1),(113,1),(148,1),(151,1),(169,1)}
         9:{1,4,6}:{(2,1),(16,1),(19,1),(22,1),(97,1),(106,1),(174,1)}
        10:{2,3,6,7}:{(4,1),(23,1),(24,1),(28,1),(72,1),(85,1),(127,1)}
        11:{3,5,6}:{(5,1),(25,1),(26,1),(27,1),(71,1),(72,1)}
        12:{1,2,4,6,7}:{(3,1),(4,1),(6,1),(23,1),(28,1),(29,1),(34,1),(36,1),(65,1),(67,1),(70,1),(74,1),(162,1)}
        13:{1,5,7}:{(3,1),(5,1),(25,1),(160,1)}
        14:{2,5,7}:{(4,1),(5,1),(26,1),(161,1)}
        15:{4,5,7}:{(5,1),(27,1),(74,1),(124,1)}
        16:{1,4,5}:{(9,1),(33,1),(124,1),(160,1)}
        17:{2,3,6,7}:{(6,1),(28,1),(34,1),(35,1),(123,1),(127,1),(133,1)}
        18:{1,2,5,7}:{(6,1),(7,1),(8,1),(35,1),(36,1),(76,1),(134,1)}
        19:{1,4,7}:{(7,1),(9,1),(37,1),(74,1)}
        20:{2,3,5,6}:{(8,1),(35,1),(38,1),(39,1),(69,1),(80,1),(81,1),(86,1),(127,1),(133,1),(161,1),(172,1)}
        21:{1,2,4,6}:{(8,1),(9,1),(32,1),(36,1),(38,1),(39,1),(40,1),(87,1),(88,1),(132,1)}
        22:{3,4,6}:{(9,1),(33,1),(37,1),(39,1),(40,1),(71,1),(78,1)}
        23:{1,2,6,7}:{(10,1),(42,1),(43,1),(100,1),(112,1),(148,1),(168,1)}
        24:{2,3,5,7}:{(10,1),(14,1),(41,1),(43,1),(44,1),(49,1),(52,1),(95,1)}
        25:{1,5,6}:{(11,1),(13,1),(46,1),(100,1)}
        26:{2,5,6}:{(11,1),(14,1),(47,1),(99,1)}
        27:{4,6}:{(11,1),(15,1)}
        28:{3,6,7}:{(12,1),(49,1),(57,1),(95,1),(98,1),(170,1)}
        29:{1,2,5,7}:{(12,1),(13,1),(14,1),(45,1),(49,1),(55,1),(93,1),(169,1)}
        30:{1,4,5,7}:{(13,1),(15,1),(16,1),(19,1),(46,1),(51,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(44,1),(47,1),(52,1),(89,1)}
        32:{1,2,4,5}:{(16,1),(21,1),(53,1),(54,1),(59,1),(106,1),(107,1),(108,1),(113,1),(169,1),(174,1)}
        33:{3,5}:{(16,1),(22,1),(54,1)}
        34:{2,4,6,7}:{(17,1),(48,1),(55,1),(56,1),(109,1),(143,1),(147,1),(168,1)}
        35:{2,3,5,7}:{(17,1),(18,1),(20,1),(49,1),(55,1),(56,1),(57,1),(110,1)}
        36:{1,2,4,7}:{(18,1),(19,1),(21,1),(56,1),(57,1),(58,1),(111,1),(112,1)}
        37:{3,4,7}:{(19,1),(22,1),(51,1),(57,1),(58,1)}
        38:{2,4,6}:{(20,1),(56,1),(59,1),(60,1),(97,1),(107,1),(174,1)}
        39:{3,6}:{(21,1),(53,1),(57,1),(150,1)}
        40:{2,4,6}:{(22,1),(54,1),(58,1),(62,1),(99,1),(107,1)}
        41:{2,3,5,6}:{(24,1),(26,1),(63,1),(64,1),(69,1),(72,1),(115,1),(117,1),(127,1),(154,1),(161,1),(172,1)}
        42:{1,3,6,7}:{(23,1),(28,1),(65,1),(66,1),(84,1),(126,1),(158,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(63,1),(66,1),(67,1),(77,1),(159,1)}
        44:{2,4,7}:{(24,1),(64,1),(68,1),(74,1)}
        45:{1,2,5,6}:{(25,1),(26,1),(29,1),(69,1),(70,1),(81,1),(119,1),(160,1),(161,1)}
        46:{1,4,6}:{(25,1),(27,1),(30,1),(71,1)}
        47:{2,4,6}:{(26,1),(27,1),(31,1),(72,1)}
        48:{3,4,6,7}:{(28,1),(34,1),(65,1),(73,1),(74,1),(83,1),(121,1),(125,1),(128,1),(133,1),(158,1)}
        49:{3,5,7}:{(28,1),(29,1),(69,1),(74,1),(172,1)}
        50:{1,2,4,5,7}:{(29,1),(30,1),(31,1),(32,1),(36,1),(67,1),(70,1),(74,1),(75,1),(76,1),(77,1),(82,1),(114,1),(120,1),(124,1),(129,1),(130,1),(131,1),(134,1),(159,1),(160,1),(161,1)}
        51:{3,5,7}:{(30,1),(33,1),(37,1),(71,1),(76,1)}
        52:{3,5,7}:{(31,1),(68,1),(72,1),(77,1),(115,1)}
        53:{3,5}:{(32,1),(39,1),(78,1)}
        54:{2,5}:{(33,1),(40,1)}
        55:{2,5,7}:{(34,1),(73,1),(81,1),(161,1)}
        56:{2,4,7}:{(35,1),(38,1),(74,1),(83,1)}
        57:{3,7}:{(36,1),(39,1)}
        58:{2,4,7}:{(37,1),(40,1),(76,1),(85,1)}
        59:{2,4,5}:{(38,1),(86,1),(124,1),(161,1)}
        60:{3,4,6}:{(38,1),(39,1),(78,1),(83,1),(86,1),(87,1),(133,1)}
        61:{1,3,6}:{(39,1),(79,1),(84,1),(87,1),(88,1)}
        62:{2,3,6}:{(39,1),(40,1),(80,1),(85,1),(88,1)}
        63:{1,2,5,6}:{(41,1),(43,1),(90,1),(91,1),(100,1),(136,1),(148,1),(166,1),(167,1),(168,1),(169,1)}
        64:{2,4,6}:{(41,1),(44,1),(89,1),(92,1),(97,1),(165,1),(174,1)}
        65:{1,4,6,7}:{(42,1),(48,1),(93,1),(94,1),(111,1),(141,1),(146,1),(151,1)}
        66:{1,3,5,7}:{(42,1),(43,1),(49,1),(90,1),(93,1),(94,1),(95,1),(142,1)}
        67:{1,2,4,7}:{(43,1),(44,1),(91,1),(94,1),(95,1),(96,1),(143,1),(144,1)}
        68:{3,4,7}:{(44,1),(52,1),(92,1),(95,1),(96,1)}
        69:{3,5,6}:{(45,1),(49,1),(97,1),(98,1),(145,1)}
        70:{1,2,4,6}:{(45,1),(46,1),(47,1),(50,1),(97,1),(98,1),(99,1),(100,1),(109,1),(141,1),(146,1),(147,1),(148,1),(151,1),(168,1)}
        71:{3,6}:{(46,1),(51,1),(99,1)}
        72:{3,6}:{(47,1),(52,1),(100,1)}
        73:{3,5,7}:{(48,1),(55,1),(93,1),(101,1),(102,1),(145,1)}
        74:{4,7}:{(49,1),(97,1),(174,1)}
        75:{3,5,7}:{(50,1),(53,1),(57,1),(95,1),(98,1),(103,1),(135,1),(145,1)}
        76:{2,5,7}:{(51,1),(54,1),(58,1),(99,1)}
        77:{1,5,7}:{(52,1),(96,1),(100,1),(136,1)}
        78:{3,4}:{(53,1),(106,1),(107,1),(150,1),(174,1)}
        79:{1,3,5}:{(53,1),(61,1),(106,1),(108,1),(113,1),(150,1)}
        80:{2,3,5}:{(53,1),(54,1),(62,1),(107,1),(108,1),(150,1)}
        81:{2,5,6}:{(55,1),(101,1),(109,1),(168,1)}
        82:{2,4,5,7}:{(55,1),(56,1),(59,1),(102,1),(109,1),(110,1)}
        83:{3,4,7}:{(56,1),(57,1),(60,1),(110,1),(111,1)}
        84:{1,3,7}:{(57,1),(61,1),(111,1),(112,1)}
        85:{2,3,7}:{(57,1),(58,1),(62,1),(112,1)}
        86:{3,5}:{(59,1),(60,1),(113,1)}
        87:{1,4,6}:{(60,1),(61,1),(106,1),(111,1),(113,1),(151,1)}
        88:{1,2,6}:{(61,1),(62,1),(108,1),(112,1)}
        89:{2,4,5}:{(64,1),(115,1),(124,1),(161,1)}
        90:{1,3,5,6}:{(63,1),(66,1),(69,1),(116,1),(117,1),(119,1),(126,1),(153,1),(155,1),(158,1),(160,1),(172,1)}
        91:{1,2,4,6}:{(63,1),(64,1),(67,1),(114,1),(116,1),(117,1),(118,1),(156,1),(157,1),(171,1)}
        92:{3,4,6}:{(64,1),(68,1),(72,1),(115,1),(117,1),(118,1),(152,1)}
        93:{1,5,7}:{(65,1),(73,1),(119,1),(160,1)}
        94:{1,4,7}:{(66,1),(74,1),(116,1),(121,1)}
        95:{3,7}:{(67,1),(117,1)}
        96:{1,4,7}:{(68,1),(77,1),(118,1),(122,1)}
        97:{4,6}:{(69,1),(74,1),(124,1)}
        98:{3,6}:{(70,1),(75,1)}
        99:{2,6}:{(71,1),(76,1)}
       100:{1,6}:{(72,1),(77,1)}
       101:{3,5,6}:{(73,1),(81,1),(119,1),(128,1),(133,1),(158,1)}
       102:{4,5,7}:{(73,1),(74,1),(124,1),(128,1)}
       103:{3,4,7}:{(74,1),(75,1),(78,1),(125,1),(129,1),(130,1),(152,1),(163,1)}
       104:{1,3,5,7}:{(75,1),(77,1),(79,1),(84,1),(122,1),(126,1),(129,1),(131,1),(134,1),(153,1),(160,1),(163,1),(172,1)}
       105:{2,3,5,7}:{(75,1),(76,1),(80,1),(85,1),(123,1),(127,1),(130,1),(131,1),(154,1),(159,1),(161,1),(163,1),(172,1)}
       106:{1,4}:{(78,1),(79,1)}
       107:{2,4}:{(78,1),(80,1)}
       108:{1,2,5}:{(79,1),(80,1),(88,1),(132,1)}
       109:{2,4,6}:{(81,1),(82,1),(128,1),(133,1)}
       110:{3,5,7}:{(82,1),(83,1),(86,1),(133,1),(134,1)}
       111:{1,4,7}:{(83,1),(84,1),(87,1),(134,1)}
       112:{1,2,7}:{(84,1),(85,1),(88,1)}
       113:{1,5}:{(86,1),(87,1)}
       114:{1,2,4,5}:{(89,1),(91,1),(135,1),(136,1),(137,1),(164,1),(165,1),(166,1),(167,1),(169,1),(174,1)}
       115:{3,5}:{(89,1),(92,1),(136,1)}
       116:{1,4,6}:{(90,1),(94,1),(97,1),(137,1),(138,1),(164,1),(174,1)}
       117:{3,6}:{(91,1),(95,1),(135,1),(173,1)}
       118:{1,4,6}:{(92,1),(96,1),(100,1),(136,1),(139,1),(164,1)}
       119:{1,5,6}:{(93,1),(101,1),(141,1),(151,1)}
       120:{1,4,5,7}:{(93,1),(94,1),(102,1),(137,1),(141,1),(142,1)}
       121:{3,4,7}:{(94,1),(95,1),(138,1),(142,1),(143,1)}
       122:{1,3,7}:{(95,1),(96,1),(139,1),(144,1)}
       123:{2,3,7}:{(95,1),(140,1),(143,1),(144,1)}
       124:{4,5}:{(97,1),(145,1),(174,1)}
       125:{3,4,6}:{(97,1),(98,1),(103,1),(145,1),(146,1),(147,1),(170,1),(174,1)}
       126:{1,3,6}:{(98,1),(100,1),(104,1),(146,1),(148,1),(151,1),(170,1)}
       127:{2,3,6}:{(98,1),(99,1),(105,1),(147,1),(148,1),(168,1),(170,1)}
       128:{4,6}:{(101,1),(102,1)}
       129:{1,4,7}:{(103,1),(104,1),(106,1),(146,1),(164,1),(174,1)}
       130:{2,4,7}:{(103,1),(105,1),(107,1),(147,1),(165,1),(174,1)}
       131:{1,2,5,7}:{(104,1),(105,1),(108,1),(112,1),(144,1),(148,1),(149,1),(166,1),(169,1)}
       132:{1,2,4}:{(106,1),(107,1),(108,1),(150,1)}
       133:{3,6}:{(109,1),(110,1),(151,1)}
       134:{1,5,7}:{(110,1),(111,1),(113,1),(151,1)}
       135:{3,5}:{(114,1),(117,1),(152,1)}
       136:{1,5}:{(115,1),(118,1)}
       137:{1,4,5}:{(116,1),(124,1),(155,1),(160,1)}
       138:{3,4,6}:{(116,1),(117,1),(121,1),(152,1),(155,1),(156,1),(158,1)}
       139:{1,3,6}:{(117,1),(118,1),(122,1),(153,1),(157,1)}
       140:{2,3,6}:{(117,1),(123,1),(154,1),(156,1),(157,1)}
       141:{1,4,6}:{(119,1),(120,1),(128,1),(158,1)}
       142:{3,5,7}:{(120,1),(121,1),(155,1),(158,1),(159,1)}
       143:{2,4,7}:{(121,1),(123,1),(156,1),(159,1)}
       144:{1,2,7}:{(122,1),(123,1),(157,1)}
       145:{3,5}:{(124,1),(125,1),(160,1),(161,1)}
       146:{1,4,6}:{(125,1),(126,1),(129,1),(160,1)}
       147:{2,4,6}:{(125,1),(127,1),(130,1),(161,1)}
       148:{1,2,6}:{(126,1),(127,1),(131,1)}
       149:{1,2,4,7}:{(129,1),(130,1),(131,1),(132,1),(162,1),(163,1),(171,1)}
       150:{3}:{(132,1)}
       151:{1,6}:{(133,1),(134,1)}
       152:{3,4}:{(135,1),(164,1),(165,1),(173,1),(174,1)}
       153:{1,3,5}:{(135,1),(136,1),(139,1),(164,1),(166,1),(173,1)}
       154:{2,3,5}:{(135,1),(140,1),(165,1),(166,1),(167,1),(173,1)}
       155:{3,5}:{(137,1),(138,1),(167,1)}
       156:{2,4,6}:{(138,1),(140,1),(143,1),(165,1),(167,1),(168,1)}
       157:{1,2,6}:{(139,1),(140,1),(144,1),(166,1)}
       158:{3,6}:{(141,1),(142,1),(168,1)}
       159:{2,5,7}:{(142,1),(143,1),(167,1),(168,1)}
       160:{1,5}:{(145,1),(146,1)}
       161:{2,5}:{(145,1),(147,1)}
       162:{1,2,4,6}:{(146,1),(147,1),(148,1),(149,1),(169,1),(170,1),(174,1)}
       163:{3,7}:{(149,1),(150,1),(170,1),(173,1)}
       164:{1,4}:{(152,1),(153,1)}
       165:{2,4}:{(152,1),(154,1)}
       166:{1,2,5}:{(153,1),(154,1),(157,1),(171,1)}
       167:{2,5}:{(155,1),(156,1)}
       168:{2,6}:{(158,1),(159,1)}
       169:{1,2,5}:{(160,1),(161,1),(162,1),(172,1)}
       170:{3,6}:{(162,1),(163,1),(172,1)}
       171:{1,2,4}:{(164,1),(165,1),(166,1),(173,1)}
       172:{3,5}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{4}:{(172,1)}

 547 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(11,1),(19,1),(39,1),(45,1),(85,1),(98,1)}
         1:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(27,1),(31,1),(72,1)}
         2:{1,3,5}:{(0,1),(6,1),(8,1),(29,1),(108,1),(124,1)}
         3:{1,3,4,7}:{(0,1),(7,1),(9,1),(25,1),(64,1),(71,1),(111,1),(205,1)}
         4:{1,3,5,6}:{(2,1),(10,1),(11,1),(12,1),(19,1),(35,1),(39,1),(54,1),(103,1)}
         5:{2,3,6}:{(1,1),(13,1),(14,1),(39,1)}
         6:{1,2,5}:{(1,1),(2,1),(13,1),(99,1)}
         7:{1,2,4,7}:{(1,1),(3,1),(14,1),(16,1),(46,1),(208,1)}
         8:{1,4,5}:{(2,1),(11,1),(17,1),(146,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(16,1),(18,1),(19,1),(50,1),(132,1),(197,1),(200,1)}
        10:{1,2,5,6}:{(4,1),(6,1),(21,1),(22,1),(23,1),(31,1),(55,1),(108,1),(152,1)}
        11:{1,4,6}:{(4,1),(8,1),(24,1),(25,1),(128,1)}
        12:{1,3,5,7}:{(4,1),(23,1),(25,1),(26,1),(56,1),(64,1),(68,1),(117,1)}
        13:{2,3,5}:{(5,1),(6,1),(27,1),(29,1)}
        14:{2,3,7}:{(5,1),(7,1),(64,1),(209,1)}
        15:{1,2,4,5}:{(6,1),(8,1),(22,1),(27,1),(29,1),(32,1),(58,1),(69,1),(73,1),(108,1)}
        16:{1,2,5,7}:{(6,1),(7,1),(9,1),(28,1),(31,1),(204,1),(207,1)}
        17:{3,4,5}:{(8,1),(24,1),(29,1),(32,1)}
        18:{1,4,5,7}:{(8,1),(9,1),(25,1),(33,1),(34,1),(68,1),(188,1),(192,1)}
        19:{1,3,6}:{(9,1),(31,1),(34,1),(76,1),(152,1)}
        20:{1,4,5,6}:{(11,1),(35,1),(36,1),(54,1),(105,1)}
        21:{2,3,5,6}:{(10,1),(13,1),(37,1),(38,1),(39,1),(47,1),(83,1),(99,1),(103,1),(133,1),(134,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(15,1),(37,1),(39,1),(40,1),(42,1),(85,1),(88,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(38,1),(40,1),(41,1),(80,1),(132,1)}
        24:{3,4,6}:{(11,1),(17,1),(35,1),(39,1),(42,1),(43,1)}
        25:{1,4,7}:{(11,1),(12,1),(43,1),(140,1)}
        26:{1,3,6,7}:{(12,1),(19,1),(41,1),(44,1),(81,1),(91,1),(197,1)}
        27:{2,4}:{(13,1),(45,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(16,1),(46,1),(47,1),(50,1),(99,1),(196,1),(198,1),(201,1)}
        29:{3,5}:{(15,1),(39,1),(45,1)}
        30:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(40,1),(46,1),(50,1),(51,1),(52,1),(84,1),(92,1),(96,1),(99,1),(100,1),(132,1),(140,1),(144,1),(146,1),(171,1),(172,1),(177,1),(196,1)}
        31:{1,2,6}:{(16,1),(19,1),(47,1)}
        32:{2,4,5}:{(17,1),(42,1),(49,1)}
        33:{3,4,5,7}:{(17,1),(18,1),(43,1),(50,1),(52,1),(53,1),(94,1),(140,1),(146,1),(174,1),(179,1)}
        34:{1,4,6}:{(18,1),(19,1),(53,1),(54,1)}
        35:{3,5,6}:{(20,1),(24,1),(55,1),(56,1)}
        36:{1,4,5,7}:{(20,1),(25,1),(56,1),(57,1),(68,1),(119,1)}
        37:{2,4,6}:{(21,1),(27,1),(58,1),(59,1),(60,1),(128,1)}
        38:{2,3,5,7}:{(21,1),(23,1),(60,1),(61,1),(64,1),(109,1),(113,1),(117,1)}
        39:{3,6}:{(22,1),(29,1),(64,1)}
        40:{1,2,4,7}:{(22,1),(23,1),(25,1),(60,1),(64,1),(66,1),(111,1),(114,1)}
        41:{1,2,6,7}:{(23,1),(26,1),(31,1),(61,1),(106,1),(152,1),(204,1)}
        42:{2,4,6}:{(24,1),(32,1),(55,1),(63,1),(66,1)}
        43:{3,4,7}:{(24,1),(25,1),(56,1),(64,1),(66,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(34,1),(67,1),(68,1),(183,1),(188,1)}
        45:{3,4}:{(27,1),(29,1),(69,1)}
        46:{2,4,7}:{(27,1),(28,1),(71,1),(72,1),(206,1)}
        47:{2,3,6}:{(28,1),(31,1),(72,1),(76,1),(203,1)}
        48:{1,3,5}:{(29,1),(62,1),(69,1),(73,1),(108,1),(120,1)}
        49:{2,3,5}:{(29,1),(32,1),(63,1),(70,1),(73,1)}
        50:{3,5,7}:{(29,1),(30,1),(64,1),(71,1),(76,1),(124,1),(186,1),(190,1)}
        51:{1,2,4,6}:{(30,1),(31,1),(34,1),(72,1),(76,1),(77,1),(78,1),(110,1),(122,1),(125,1),(128,1),(152,1),(184,1),(203,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(66,1),(75,1),(78,1),(118,1),(158,1),(163,1)}
        53:{3,4,6}:{(33,1),(34,1),(76,1),(78,1),(79,1),(128,1)}
        54:{1,5,6}:{(34,1),(68,1),(79,1)}
        55:{2,5,6}:{(35,1),(42,1),(80,1)}
        56:{3,5,7}:{(35,1),(36,1),(43,1),(80,1),(81,1)}
        57:{1,4,6,7}:{(36,1),(81,1),(82,1),(131,1)}
        58:{2,4,5}:{(37,1),(83,1),(99,1),(146,1)}
        59:{3,4,6}:{(37,1),(39,1),(45,1),(83,1),(85,1),(86,1),(133,1)}
        60:{2,4,7}:{(37,1),(38,1),(86,1),(140,1)}
        61:{2,3,6,7}:{(38,1),(41,1),(47,1),(87,1),(91,1),(133,1),(198,1)}
        62:{1,3,6}:{(39,1),(48,1),(85,1),(88,1),(89,1)}
        63:{2,3,6}:{(39,1),(42,1),(49,1),(88,1),(90,1)}
        64:{3,7}:{(39,1),(40,1)}
        65:{1,2,4,6,7}:{(40,1),(41,1),(44,1),(51,1),(87,1),(91,1),(92,1),(93,1),(135,1),(137,1),(140,1),(172,1)}
        66:{2,4,7}:{(42,1),(43,1),(80,1),(90,1)}
        67:{3,4,6,7}:{(43,1),(44,1),(53,1),(81,1),(91,1),(93,1),(94,1),(131,1),(140,1),(168,1),(174,1)}
        68:{1,5,7}:{(44,1),(54,1),(94,1)}
        69:{1,4}:{(45,1),(48,1)}
        70:{2,3,4}:{(45,1),(49,1),(95,1)}
        71:{3,4,7}:{(45,1),(46,1),(50,1),(96,1),(98,1),(140,1),(199,1)}
        72:{2,4,6}:{(46,1),(47,1),(98,1),(99,1)}
        73:{1,2,5}:{(48,1),(49,1),(88,1),(95,1)}
        74:{1,3,5,7}:{(48,1),(50,1),(89,1),(96,1),(100,1),(101,1),(132,1),(142,1),(144,1),(176,1)}
        75:{2,3,5,7}:{(49,1),(50,1),(52,1),(90,1),(97,1),(100,1),(102,1),(145,1),(196,1)}
        76:{3,6}:{(50,1),(51,1)}
        77:{1,2,5,6}:{(51,1),(54,1),(92,1),(99,1),(103,1),(104,1),(134,1),(144,1),(169,1)}
        78:{2,4,6}:{(52,1),(53,1),(102,1),(104,1)}
        79:{3,5,6}:{(53,1),(54,1),(94,1),(104,1),(105,1)}
        80:{2,5,7}:{(55,1),(56,1),(66,1),(106,1)}
        81:{3,6,7}:{(56,1),(57,1),(106,1)}
        82:{1,5,6,7}:{(57,1),(68,1),(107,1),(183,1)}
        83:{3,5}:{(58,1),(59,1),(108,1)}
        84:{2,4,5,7}:{(58,1),(60,1),(109,1),(110,1),(113,1),(155,1)}
        85:{1,4,6}:{(59,1),(62,1),(69,1),(108,1),(111,1),(152,1)}
        86:{3,4,7}:{(59,1),(60,1),(64,1),(109,1),(111,1)}
        87:{2,4,6,7}:{(60,1),(61,1),(72,1),(110,1),(112,1),(113,1),(187,1),(203,1)}
        88:{1,2,6}:{(62,1),(63,1),(73,1),(114,1)}
        89:{1,3,7}:{(62,1),(64,1),(111,1),(114,1)}
        90:{2,3,7}:{(63,1),(64,1),(66,1),(114,1)}
        91:{3,6,7}:{(64,1),(65,1),(76,1),(117,1),(186,1)}
        92:{1,2,5,7}:{(65,1),(68,1),(77,1),(113,1),(117,1),(118,1),(154,1)}
        93:{2,4,6,7}:{(66,1),(67,1),(78,1),(106,1),(116,1),(118,1),(158,1)}
        94:{3,5,7}:{(67,1),(68,1),(79,1),(118,1),(119,1)}
        95:{1,2,4}:{(69,1),(70,1),(73,1),(120,1)}
        96:{1,4,7}:{(69,1),(71,1),(74,1),(122,1),(189,1)}
        97:{2,3,4,7}:{(70,1),(71,1),(75,1),(121,1),(123,1),(158,1),(186,1),(187,1)}
        98:{3,4,6}:{(71,1),(72,1),(76,1),(122,1),(124,1),(128,1)}
        99:{2,5}:{(72,1),(124,1)}
       100:{1,2,5,7}:{(73,1),(74,1),(75,1),(114,1),(121,1),(125,1),(161,1)}
       101:{1,3,6}:{(74,1),(76,1),(122,1),(125,1),(152,1)}
       102:{2,3,6}:{(75,1),(76,1),(78,1),(125,1),(203,1)}
       103:{3,5,6}:{(76,1),(77,1),(117,1),(124,1),(128,1)}
       104:{2,5,6}:{(78,1),(79,1),(118,1)}
       105:{4,5,6}:{(79,1),(119,1),(128,1)}
       106:{2,6,7}:{(80,1),(81,1)}
       107:{3,5,6,7}:{(81,1),(82,1),(94,1),(130,1),(131,1),(168,1)}
       108:{1,5}:{(83,1),(85,1)}
       109:{3,5,7}:{(83,1),(84,1),(86,1),(132,1),(133,1)}
       110:{2,4,6}:{(84,1),(133,1),(134,1),(170,1)}
       111:{1,4,7}:{(85,1),(86,1),(89,1),(132,1)}
       112:{3,4,6,7}:{(86,1),(87,1),(91,1),(98,1),(133,1),(135,1),(136,1),(140,1),(170,1),(173,1),(195,1)}
       113:{2,5,7}:{(87,1),(99,1),(134,1),(136,1)}
       114:{1,2,7}:{(88,1),(89,1),(90,1)}
       115:{1,3,6,7}:{(89,1),(91,1),(101,1),(135,1),(137,1),(138,1),(195,1)}
       116:{2,3,6,7}:{(90,1),(91,1),(93,1),(102,1),(137,1),(139,1),(168,1)}
       117:{3,5,7}:{(91,1),(92,1),(103,1),(140,1)}
       118:{2,5,7}:{(93,1),(94,1),(104,1)}
       119:{4,5,7}:{(94,1),(105,1),(131,1),(140,1)}
       120:{1,3}:{(95,1)}
       121:{1,2,4,7}:{(95,1),(96,1),(97,1),(100,1),(142,1),(143,1)}
       122:{1,4,6}:{(96,1),(98,1),(101,1),(144,1)}
       123:{2,3,4,6}:{(97,1),(98,1),(102,1),(143,1),(145,1),(149,1),(180,1),(181,1),(199,1)}
       124:{3,5}:{(98,1),(99,1),(144,1),(146,1)}
       125:{1,2,6}:{(100,1),(101,1),(102,1)}
       126:{1,3,5,6}:{(101,1),(103,1),(138,1),(144,1),(147,1),(148,1),(169,1),(176,1),(178,1),(180,1),(195,1)}
       127:{2,3,5,6}:{(102,1),(103,1),(104,1),(139,1),(145,1),(147,1),(149,1),(150,1),(180,1)}
       128:{4,6}:{(103,1),(140,1),(146,1)}
       129:{2,4,5,6}:{(104,1),(105,1),(141,1),(149,1),(150,1)}
       130:{2,5,6,7}:{(106,1),(107,1),(118,1),(151,1)}
       131:{4,6,7}:{(107,1),(119,1)}
       132:{1,5,7}:{(108,1),(109,1),(111,1),(152,1)}
       133:{3,6}:{(109,1),(110,1),(152,1)}
       134:{2,5,6}:{(110,1),(113,1),(153,1),(203,1)}
       135:{1,4,6,7}:{(111,1),(112,1),(115,1),(122,1),(152,1),(154,1),(157,1),(184,1)}
       136:{3,5,7}:{(112,1),(113,1),(124,1),(153,1),(154,1),(155,1)}
       137:{1,2,6,7}:{(114,1),(115,1),(116,1),(125,1),(156,1),(183,1),(203,1)}
       138:{1,3,5,7}:{(115,1),(117,1),(126,1),(154,1),(156,1),(157,1),(185,1),(186,1)}
       139:{2,3,5,7}:{(116,1),(117,1),(118,1),(127,1),(156,1),(158,1),(159,1),(186,1)}
       140:{4,7}:{(117,1),(128,1)}
       141:{2,4,5,7}:{(118,1),(119,1),(129,1),(151,1),(158,1),(159,1)}
       142:{1,3,7}:{(120,1),(121,1),(160,1),(186,1)}
       143:{1,2,4,6}:{(121,1),(122,1),(123,1),(125,1),(160,1),(161,1),(189,1)}
       144:{1,5}:{(122,1),(124,1)}
       145:{2,3,5}:{(123,1),(124,1),(161,1),(163,1),(190,1),(191,1)}
       146:{4,5}:{(124,1),(128,1)}
       147:{1,2,5,6}:{(125,1),(126,1),(127,1),(156,1),(161,1),(164,1),(167,1),(191,1),(203,1)}
       148:{1,4,6}:{(126,1),(128,1),(157,1),(162,1),(165,1),(189,1)}
       149:{2,4,6}:{(127,1),(128,1),(158,1),(163,1),(166,1)}
       150:{3,5,6}:{(129,1),(159,1),(166,1),(167,1)}
       151:{2,4,6,7}:{(130,1),(131,1),(141,1),(168,1)}
       152:{1,6}:{(132,1),(133,1)}
       153:{3,5,6}:{(133,1),(134,1),(136,1),(169,1),(170,1),(195,1)}
       154:{1,5,7}:{(135,1),(136,1),(144,1),(169,1)}
       155:{4,5,7}:{(136,1),(140,1),(146,1),(170,1)}
       156:{1,2,5,7}:{(137,1),(138,1),(139,1),(147,1),(172,1),(175,1),(196,1)}
       157:{1,4,7}:{(138,1),(140,1),(148,1),(173,1)}
       158:{2,4,7}:{(139,1),(140,1),(149,1),(174,1)}
       159:{3,5,7}:{(141,1),(150,1),(168,1),(174,1),(175,1)}
       160:{1,3,6}:{(142,1),(143,1),(176,1),(180,1)}
       161:{1,2,5}:{(143,1),(144,1),(145,1),(176,1)}
       162:{1,4,5}:{(144,1),(146,1),(148,1),(178,1)}
       163:{2,4,5}:{(145,1),(146,1),(149,1),(179,1)}
       164:{1,2,4,6}:{(147,1),(148,1),(149,1),(172,1),(177,1),(180,1),(181,1),(182,1),(202,1)}
       165:{3,4,6}:{(148,1),(173,1),(178,1),(180,1),(181,1),(195,1),(199,1)}
       166:{3,4,6}:{(149,1),(150,1),(174,1),(179,1),(180,1),(182,1)}
       167:{1,5,6}:{(150,1),(175,1),(182,1)}
       168:{3,6,7}:{(151,1),(159,1),(183,1)}
       169:{1,5,6}:{(152,1),(153,1),(154,1),(184,1)}
       170:{4,6}:{(153,1),(155,1)}
       171:{1,4,5,7}:{(154,1),(155,1),(157,1),(162,1),(184,1),(185,1)}
       172:{1,2,4,7}:{(156,1),(157,1),(158,1),(164,1),(186,1),(187,1),(188,1),(204,1)}
       173:{3,4,7}:{(157,1),(165,1),(185,1),(186,1),(187,1)}
       174:{3,4,7}:{(158,1),(159,1),(166,1),(186,1),(188,1)}
       175:{1,5,7}:{(159,1),(167,1),(183,1),(188,1)}
       176:{1,3,5}:{(160,1),(161,1),(189,1),(190,1)}
       177:{1,2,4,5}:{(161,1),(162,1),(163,1),(164,1),(189,1),(190,1),(191,1),(192,1),(206,1),(207,1)}
       178:{3,5}:{(162,1),(165,1),(191,1)}
       179:{3,4,5}:{(163,1),(166,1),(190,1),(192,1)}
       180:{3,6}:{(164,1),(186,1),(190,1)}
       181:{2,4,6}:{(165,1),(187,1),(191,1),(194,1),(203,1),(206,1)}
       182:{1,4,6}:{(166,1),(167,1),(188,1),(192,1),(193,1)}
       183:{1,6,7}:{(168,1),(175,1)}
       184:{1,4,6}:{(169,1),(170,1),(171,1),(195,1)}
       185:{3,5,7}:{(171,1),(173,1),(178,1),(195,1),(196,1)}
       186:{3,7}:{(172,1),(180,1)}
       187:{2,4,7}:{(173,1),(181,1),(196,1),(198,1)}
       188:{1,4,7}:{(174,1),(175,1),(182,1),(197,1)}
       189:{1,4}:{(176,1),(199,1)}
       190:{3,5}:{(177,1),(180,1),(199,1)}
       191:{2,5}:{(178,1),(181,1)}
       192:{1,4,5}:{(179,1),(182,1),(200,1)}
       193:{1,3,6}:{(180,1),(182,1),(197,1),(200,1),(202,1)}
       194:{2,3,6}:{(180,1),(181,1),(198,1),(201,1),(202,1)}
       195:{3,6}:{(184,1),(185,1),(203,1)}
       196:{2,5,7}:{(185,1),(187,1),(191,1),(203,1)}
       197:{1,3,7}:{(186,1),(188,1),(193,1),(204,1)}
       198:{2,3,7}:{(186,1),(187,1),(194,1),(204,1)}
       199:{3,4}:{(189,1),(190,1),(206,1)}
       200:{1,3,5}:{(190,1),(192,1),(193,1),(205,1),(207,1)}
       201:{2,3,5}:{(190,1),(191,1),(194,1),(206,1),(207,1),(209,1)}
       202:{1,2,6}:{(193,1),(194,1),(204,1),(207,1)}
       203:{2,6}:{(195,1),(196,1)}
       204:{1,2,7}:{(197,1),(198,1),(202,1)}
       205:{1,3,4}:{(199,1),(200,1),(208,1)}
       206:{2,4}:{(199,1),(201,1)}
       207:{1,2,5}:{(200,1),(201,1),(202,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{2,3}:{(208,1)}

 548 :   0:{1,3,4,7}:{(2,1),(3,1),(4,1),(55,1),(70,1),(130,1),(182,1),(185,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(7,1),(31,1),(37,1),(47,1),(101,1),(108,1),(146,1),(149,1),(150,1)}
         2:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(12,1),(31,1),(165,1),(193,1),(198,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(39,1),(199,1)}
         4:{1,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(44,1),(84,1),(100,1),(103,1),(159,1)}
         5:{1,4,5,7}:{(1,1),(2,1),(16,1),(26,1),(59,1),(70,1),(139,1),(174,1)}
         6:{2,4,5,7}:{(1,1),(14,1),(17,1),(61,1),(74,1),(77,1),(114,1),(133,1)}
         7:{3,4,6}:{(1,1),(16,1),(17,1),(19,1),(56,1),(119,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(20,1),(21,1),(25,1),(187,1),(204,1)}
         9:{1,3,6}:{(2,1),(16,1),(21,1),(56,1),(205,1)}
        10:{2,3,7}:{(3,1),(24,1),(130,1),(206,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(21,1),(24,1),(25,1),(65,1),(72,1)}
        12:{1,3,5}:{(4,1),(25,1),(26,1),(73,1),(117,1),(181,1)}
        13:{2,3,4,7}:{(14,1),(27,1),(28,1),(55,1),(114,1),(135,1),(171,1),(203,1)}
        14:{2,3,5,7}:{(6,1),(13,1),(29,1),(30,1),(31,1),(50,1),(105,1),(161,1),(208,1)}
        15:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(29,1),(31,1),(32,1),(39,1),(46,1),(78,1),(87,1),(96,1),(99,1),(107,1),(141,1),(144,1),(149,1),(150,1),(156,1),(189,1),(198,1),(208,1)}
        16:{1,4,6}:{(5,1),(7,1),(9,1),(34,1)}
        17:{2,4,6}:{(6,1),(7,1),(30,1),(36,1)}
        18:{3,4,6,7}:{(7,1),(33,1),(35,1),(37,1),(85,1),(94,1),(101,1),(146,1),(150,1),(151,1),(153,1)}
        19:{3,5,6}:{(7,1),(34,1),(36,1),(37,1),(38,1)}
        20:{2,3,5,7}:{(8,1),(10,1),(31,1),(39,1),(40,1),(45,1),(96,1),(166,1),(194,1),(208,1)}
        21:{1,2,6}:{(8,1),(9,1),(40,1)}
        22:{1,3,6,7}:{(9,1),(33,1),(41,1),(43,1),(85,1),(151,1),(193,1)}
        23:{1,3,5,6}:{(9,1),(12,1),(34,1),(42,1),(43,1),(44,1),(86,1),(90,1),(100,1)}
        24:{2,3,6}:{(10,1),(11,1),(45,1),(100,1)}
        25:{1,2,5}:{(11,1),(12,1),(45,1),(96,1)}
        26:{1,4,5}:{(12,1),(44,1),(47,1),(149,1)}
        27:{1,2,4,7}:{(13,1),(29,1),(48,1),(49,1),(78,1),(163,1)}
        28:{2,3,4,6}:{(13,1),(30,1),(49,1),(50,1),(83,1),(84,1),(145,1),(164,1),(192,1)}
        29:{1,2,5,7}:{(14,1),(27,1),(51,1),(52,1),(76,1),(136,1),(183,1)}
        30:{2,3,6}:{(14,1),(17,1),(52,1),(56,1),(209,1)}
        31:{3,5,7}:{(15,1),(55,1),(56,1),(73,1),(117,1),(130,1),(138,1),(171,1)}
        32:{1,2,4,6}:{(15,1),(16,1),(17,1),(21,1),(52,1),(56,1),(58,1),(65,1),(109,1),(119,1),(179,1),(200,1),(205,1),(209,1)}
        33:{1,4,6,7}:{(16,1),(18,1),(22,1),(59,1),(70,1),(174,1),(178,1)}
        34:{1,5,6}:{(16,1),(19,1),(59,1)}
        35:{2,4,6,7}:{(17,1),(18,1),(53,1),(61,1),(114,1),(133,1),(177,1)}
        36:{2,5,6}:{(17,1),(19,1),(61,1)}
        37:{3,5,7}:{(18,1),(19,1),(59,1),(61,1),(64,1)}
        38:{4,5,6}:{(19,1),(64,1),(119,1)}
        39:{2,4,7}:{(20,1),(55,1),(65,1),(72,1),(186,1)}
        40:{2,3,6}:{(20,1),(21,1),(56,1),(65,1),(209,1)}
        41:{1,2,6,7}:{(21,1),(22,1),(66,1),(68,1),(177,1),(204,1),(205,1)}
        42:{1,2,5,6}:{(21,1),(23,1),(25,1),(67,1),(68,1),(69,1),(122,1),(181,1),(205,1)}
        43:{1,3,5,7}:{(22,1),(23,1),(59,1),(68,1),(70,1),(118,1),(121,1),(130,1)}
        44:{1,4,6}:{(23,1),(26,1),(70,1),(71,1),(119,1)}
        45:{2,3,5}:{(24,1),(25,1),(72,1),(73,1)}
        46:{1,2,4,5}:{(25,1),(26,1),(69,1),(72,1),(73,1),(74,1),(127,1),(134,1),(136,1),(181,1)}
        47:{3,4,5}:{(26,1),(71,1),(73,1),(74,1)}
        48:{1,3,7}:{(27,1),(75,1),(171,1),(184,1)}
        49:{1,2,4,6}:{(27,1),(28,1),(52,1),(75,1),(76,1),(109,1),(137,1)}
        50:{2,3,5}:{(28,1),(76,1),(77,1),(117,1),(138,1),(202,1)}
        51:{1,3,5,7}:{(29,1),(31,1),(48,1),(78,1),(79,1),(104,1),(106,1),(141,1),(160,1),(198,1)}
        52:{1,2,6}:{(29,1),(30,1),(79,1)}
        53:{2,3,6,7}:{(30,1),(35,1),(80,1),(82,1),(85,1),(153,1),(161,1)}
        54:{2,3,5,6}:{(30,1),(36,1),(50,1),(81,1),(82,1),(83,1),(86,1),(93,1),(145,1)}
        55:{3,4,7}:{(31,1),(39,1),(78,1),(84,1),(103,1),(150,1),(164,1)}
        56:{3,6}:{(31,1),(32,1)}
        57:{1,2,4,6,7}:{(32,1),(33,1),(35,1),(41,1),(80,1),(85,1),(87,1),(95,1),(99,1),(140,1),(144,1),(150,1)}
        58:{1,2,5,6}:{(32,1),(34,1),(36,1),(86,1),(87,1),(96,1),(141,1),(155,1),(188,1)}
        59:{1,5,7}:{(33,1),(34,1),(37,1)}
        60:{1,4,5,6}:{(34,1),(38,1),(44,1),(89,1),(90,1)}
        61:{2,5,7}:{(35,1),(36,1),(37,1)}
        62:{2,4,5,6}:{(36,1),(38,1),(83,1),(92,1),(93,1)}
        63:{3,5,6,7}:{(37,1),(88,1),(91,1),(94,1),(151,1),(153,1)}
        64:{4,5,7}:{(37,1),(38,1),(94,1),(150,1)}
        65:{2,4,6}:{(39,1),(40,1),(84,1),(96,1)}
        66:{2,3,6,7}:{(40,1),(41,1),(85,1),(95,1),(97,1),(194,1),(197,1)}
        67:{2,3,5,6}:{(40,1),(42,1),(45,1),(86,1),(96,1),(97,1),(98,1),(100,1),(155,1),(157,1),(197,1)}
        68:{1,2,5,7}:{(41,1),(42,1),(43,1),(97,1),(99,1),(152,1),(198,1)}
        69:{1,2,4,6}:{(42,1),(44,1),(46,1),(98,1),(99,1),(100,1),(102,1),(159,1),(162,1)}
        70:{1,4,7}:{(43,1),(44,1),(101,1),(150,1)}
        71:{3,4,6}:{(44,1),(47,1),(90,1),(100,1),(101,1),(102,1)}
        72:{2,4}:{(45,1),(103,1)}
        73:{3,5}:{(46,1),(100,1),(103,1)}
        74:{2,4,5}:{(47,1),(102,1),(105,1)}
        75:{1,3,6}:{(48,1),(49,1),(106,1),(145,1)}
        76:{1,2,5}:{(49,1),(50,1),(106,1),(141,1)}
        77:{2,4,5}:{(50,1),(83,1),(108,1),(149,1)}
        78:{1,4,7}:{(51,1),(55,1),(109,1),(134,1),(137,1)}
        79:{1,3,6}:{(51,1),(52,1),(56,1),(109,1),(205,1)}
        80:{1,2,6,7}:{(52,1),(53,1),(110,1),(112,1),(178,1),(183,1),(209,1)}
        81:{1,2,5,6}:{(52,1),(54,1),(76,1),(111,1),(112,1),(113,1),(125,1),(202,1),(209,1)}
        82:{2,3,5,7}:{(53,1),(54,1),(61,1),(112,1),(114,1),(118,1),(124,1),(171,1)}
        83:{2,4,6}:{(54,1),(77,1),(114,1),(115,1),(119,1)}
        84:{3,4,6}:{(55,1),(56,1),(65,1),(109,1),(117,1),(119,1)}
        85:{3,6,7}:{(56,1),(57,1),(118,1),(130,1),(171,1)}
        86:{3,5,6}:{(56,1),(58,1),(117,1),(118,1),(119,1)}
        87:{1,2,5,7}:{(57,1),(58,1),(59,1),(61,1),(118,1),(126,1),(167,1)}
        88:{1,5,6,7}:{(59,1),(63,1),(120,1),(178,1)}
        89:{1,4,5,7}:{(59,1),(60,1),(64,1),(70,1),(120,1),(121,1)}
        90:{3,5,6}:{(60,1),(71,1),(121,1),(122,1)}
        91:{2,5,6,7}:{(61,1),(63,1),(123,1),(177,1)}
        92:{2,4,5,7}:{(61,1),(62,1),(64,1),(114,1),(123,1),(124,1)}
        93:{3,5,6}:{(62,1),(115,1),(124,1),(125,1)}
        94:{4,6,7}:{(63,1),(64,1)}
        95:{2,4,6,7}:{(65,1),(66,1),(116,1),(126,1),(128,1),(179,1),(203,1),(209,1)}
        96:{2,5}:{(65,1),(117,1)}
        97:{2,3,5,7}:{(66,1),(67,1),(68,1),(118,1),(126,1),(128,1),(130,1),(180,1)}
        98:{2,4,6}:{(67,1),(72,1),(119,1),(127,1),(128,1),(129,1)}
        99:{1,2,4,7}:{(68,1),(69,1),(70,1),(128,1),(130,1),(133,1),(182,1),(183,1)}
       100:{3,6}:{(69,1),(73,1),(130,1)}
       101:{3,4,7}:{(70,1),(71,1),(121,1),(130,1),(133,1)}
       102:{2,4,6}:{(71,1),(74,1),(122,1),(132,1),(133,1)}
       103:{3,4}:{(72,1),(73,1),(134,1)}
       104:{1,3,5}:{(73,1),(131,1),(134,1),(136,1),(181,1),(184,1)}
       105:{2,3,5}:{(73,1),(74,1),(132,1),(135,1),(136,1)}
       106:{1,3,5}:{(75,1),(76,1),(137,1),(138,1)}
       107:{1,2,4,5}:{(76,1),(77,1),(113,1),(137,1),(138,1),(139,1),(168,1),(186,1),(187,1),(202,1)}
       108:{3,4,5}:{(77,1),(115,1),(138,1),(139,1)}
       109:{1,4,6}:{(78,1),(79,1),(84,1),(141,1)}
       110:{1,3,6,7}:{(79,1),(80,1),(85,1),(140,1),(142,1),(160,1),(207,1)}
       111:{1,3,5,6}:{(79,1),(81,1),(86,1),(106,1),(141,1),(142,1),(143,1),(145,1),(188,1),(190,1),(207,1)}
       112:{1,2,5,7}:{(80,1),(81,1),(82,1),(142,1),(144,1),(154,1),(208,1)}
       113:{1,2,4,6}:{(81,1),(83,1),(107,1),(143,1),(144,1),(145,1),(147,1),(192,1),(195,1)}
       114:{2,4,7}:{(82,1),(83,1),(146,1),(150,1)}
       115:{3,4,6}:{(83,1),(93,1),(108,1),(145,1),(146,1),(147,1)}
       116:{3,4,6,7}:{(84,1),(85,1),(95,1),(140,1),(148,1),(150,1),(158,1),(191,1),(196,1),(197,1),(207,1)}
       117:{3,5}:{(84,1),(96,1),(141,1),(149,1)}
       118:{3,5,7}:{(85,1),(86,1),(87,1),(150,1)}
       119:{4,6}:{(86,1),(149,1),(150,1)}
       120:{1,4,6,7}:{(88,1),(89,1),(94,1),(151,1)}
       121:{3,5,7}:{(89,1),(90,1),(101,1),(151,1),(152,1)}
       122:{2,5,6}:{(90,1),(102,1),(152,1)}
       123:{2,4,6,7}:{(91,1),(92,1),(94,1),(153,1)}
       124:{3,5,7}:{(92,1),(93,1),(146,1),(153,1),(154,1)}
       125:{1,5,6}:{(93,1),(147,1),(154,1)}
       126:{2,5,7}:{(95,1),(96,1),(148,1),(155,1)}
       127:{2,4,5}:{(96,1),(98,1),(149,1),(157,1)}
       128:{2,4,7}:{(97,1),(98,1),(150,1),(158,1)}
       129:{3,4,6}:{(98,1),(100,1),(103,1),(157,1),(158,1),(159,1),(197,1)}
       130:{3,7}:{(99,1),(100,1)}
       131:{1,3,6}:{(100,1),(104,1),(159,1),(160,1),(162,1)}
       132:{2,3,6}:{(100,1),(102,1),(105,1),(161,1),(162,1)}
       133:{2,4,7}:{(101,1),(102,1),(152,1),(161,1)}
       134:{1,4}:{(103,1),(104,1)}
       135:{2,3,4}:{(103,1),(105,1),(163,1)}
       136:{1,2,5}:{(104,1),(105,1),(162,1),(163,1)}
       137:{1,4}:{(106,1),(164,1)}
       138:{3,5}:{(107,1),(145,1),(164,1)}
       139:{1,4,5}:{(108,1),(147,1),(165,1)}
       140:{1,4,6,7}:{(109,1),(110,1),(116,1),(167,1),(169,1),(182,1),(200,1),(205,1)}
       141:{1,5}:{(109,1),(117,1)}
       142:{1,3,5,7}:{(110,1),(111,1),(112,1),(118,1),(167,1),(169,1),(171,1),(201,1)}
       143:{1,4,6}:{(111,1),(119,1),(137,1),(168,1),(169,1),(170,1)}
       144:{1,2,4,7}:{(112,1),(113,1),(114,1),(169,1),(171,1),(174,1),(203,1),(204,1)}
       145:{3,6}:{(113,1),(138,1),(171,1)}
       146:{3,4,7}:{(114,1),(115,1),(124,1),(171,1),(174,1)}
       147:{1,4,6}:{(115,1),(125,1),(139,1),(172,1),(174,1)}
       148:{3,5,7}:{(116,1),(117,1),(126,1),(167,1),(175,1),(176,1)}
       149:{4,5}:{(117,1),(119,1)}
       150:{4,7}:{(118,1),(119,1)}
       151:{3,6,7}:{(120,1),(121,1),(177,1)}
       152:{2,5,7}:{(121,1),(122,1),(133,1),(177,1)}
       153:{3,6,7}:{(123,1),(124,1),(178,1)}
       154:{1,5,7}:{(124,1),(125,1),(174,1),(178,1)}
       155:{2,5,6}:{(126,1),(175,1),(179,1),(209,1)}
       156:{2,4,5,7}:{(126,1),(127,1),(128,1),(176,1),(179,1),(180,1)}
       157:{3,5}:{(127,1),(129,1),(181,1)}
       158:{3,4,7}:{(128,1),(129,1),(130,1),(180,1),(182,1)}
       159:{1,4,6}:{(129,1),(131,1),(134,1),(181,1),(182,1),(205,1)}
       160:{1,3,7}:{(130,1),(131,1),(182,1),(183,1)}
       161:{2,3,7}:{(130,1),(132,1),(133,1),(183,1)}
       162:{1,2,6}:{(131,1),(132,1),(136,1),(183,1)}
       163:{1,2,4}:{(134,1),(135,1),(136,1),(184,1)}
       164:{3,4}:{(137,1),(138,1),(186,1)}
       165:{1,3,5}:{(138,1),(139,1),(172,1),(185,1),(187,1)}
       166:{2,3,5}:{(138,1),(173,1),(186,1),(187,1),(202,1),(206,1)}
       167:{1,5,7}:{(140,1),(141,1),(148,1),(188,1)}
       168:{1,4,5}:{(141,1),(143,1),(149,1),(190,1)}
       169:{1,4,7}:{(142,1),(143,1),(150,1),(191,1)}
       170:{3,4,6}:{(143,1),(145,1),(164,1),(190,1),(191,1),(192,1),(207,1)}
       171:{3,7}:{(144,1),(145,1)}
       172:{1,3,6}:{(145,1),(147,1),(165,1),(193,1),(195,1)}
       173:{2,3,6}:{(145,1),(166,1),(192,1),(194,1),(195,1)}
       174:{1,4,7}:{(146,1),(147,1),(154,1),(193,1)}
       175:{3,5,6}:{(148,1),(155,1),(188,1),(196,1),(197,1),(207,1)}
       176:{4,5,7}:{(148,1),(149,1),(150,1),(196,1)}
       177:{2,6,7}:{(151,1),(152,1)}
       178:{1,6,7}:{(153,1),(154,1)}
       179:{2,4,6}:{(155,1),(156,1),(196,1),(197,1)}
       180:{3,5,7}:{(156,1),(157,1),(158,1),(197,1),(198,1)}
       181:{1,5}:{(157,1),(159,1)}
       182:{1,4,7}:{(158,1),(159,1),(160,1),(198,1)}
       183:{1,2,7}:{(160,1),(161,1),(162,1)}
       184:{1,3}:{(163,1)}
       185:{1,3,4}:{(164,1),(165,1),(199,1)}
       186:{2,4}:{(164,1),(166,1)}
       187:{1,2,5}:{(165,1),(166,1),(195,1),(199,1)}
       188:{1,5,6}:{(167,1),(175,1),(200,1),(205,1)}
       189:{1,4,5,7}:{(167,1),(168,1),(169,1),(176,1),(200,1),(201,1)}
       190:{3,5}:{(168,1),(170,1),(202,1)}
       191:{3,4,7}:{(169,1),(170,1),(171,1),(201,1),(203,1)}
       192:{2,4,6}:{(170,1),(173,1),(186,1),(202,1),(203,1),(209,1)}
       193:{1,3,7}:{(171,1),(172,1),(174,1),(204,1)}
       194:{2,3,7}:{(171,1),(173,1),(203,1),(204,1)}
       195:{1,2,6}:{(172,1),(173,1),(187,1),(204,1)}
       196:{4,6}:{(175,1),(176,1)}
       197:{3,6}:{(179,1),(180,1),(205,1)}
       198:{1,5,7}:{(180,1),(181,1),(182,1),(205,1)}
       199:{1,2,4}:{(185,1),(186,1),(187,1),(206,1)}
       200:{1,4,6}:{(188,1),(189,1),(196,1),(207,1)}
       201:{3,5,7}:{(189,1),(190,1),(191,1),(207,1),(208,1)}
       202:{2,5}:{(190,1),(192,1)}
       203:{2,4,7}:{(191,1),(192,1),(194,1),(208,1)}
       204:{1,2,7}:{(193,1),(194,1),(195,1)}
       205:{1,6}:{(197,1),(198,1)}
       206:{2,3}:{(199,1)}
       207:{3,6}:{(200,1),(201,1),(209,1)}
       208:{2,5,7}:{(201,1),(202,1),(203,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

 549 :  0:{1,3,4}:{(2,1),(3,1),(47,1)}
        1:{3,4,5}:{(5,1),(6,1),(7,1),(32,1),(71,1)}
        2:{1,3,5}:{(0,1),(6,1),(8,1),(9,1),(32,1)}
        3:{1,2,4}:{(0,1),(9,1),(10,1),(35,1)}
        4:{4,5,6}:{(13,1),(14,1),(63,1),(83,1)}
        5:{3,4,6}:{(1,1),(13,1),(15,1),(16,1),(17,1),(45,1),(63,1)}
        6:{1,4,5}:{(1,1),(2,1),(15,1)}
        7:{2,4,5}:{(1,1),(12,1),(16,1)}
        8:{1,3,6}:{(2,1),(15,1),(19,1),(20,1),(45,1)}
        9:{1,2,5}:{(2,1),(3,1),(19,1),(21,1)}
       10:{2,3}:{(3,1)}
       11:{2,3,4}:{(12,1),(22,1),(47,1)}
       12:{2,3,5}:{(7,1),(11,1),(23,1),(24,1),(32,1)}
       13:{3,5,6}:{(4,1),(5,1),(25,1),(26,1),(27,1)}
       14:{4,5,7}:{(4,1),(27,1),(28,1),(72,1),(82,1)}
       15:{1,4,6}:{(5,1),(6,1),(8,1),(25,1),(30,1)}
       16:{2,4,6}:{(5,1),(7,1),(23,1),(26,1),(31,1)}
       17:{3,4,7}:{(5,1),(27,1),(30,1),(31,1),(58,1),(72,1)}
       18:{1,2,4,5}:{(6,1),(7,1),(9,1),(24,1),(29,1),(32,1),(35,1),(52,1),(59,1),(69,1),(71,1)}
       19:{1,2,6}:{(8,1),(9,1),(33,1),(34,1)}
       20:{1,3,7}:{(8,1),(30,1),(34,1),(58,1)}
       21:{2,3,5}:{(9,1),(10,1),(32,1),(33,1),(35,1),(59,1)}
       22:{1,2,4}:{(11,1),(24,1),(36,1),(52,1)}
       23:{2,3,6}:{(12,1),(16,1),(37,1),(38,1),(45,1)}
       24:{1,2,5}:{(12,1),(22,1),(37,1),(39,1)}
       25:{1,5,6}:{(13,1),(15,1),(41,1)}
       26:{2,5,6}:{(13,1),(16,1),(42,1)}
       27:{3,5,7}:{(13,1),(14,1),(17,1),(41,1),(42,1),(43,1)}
       28:{4,6,7}:{(14,1),(43,1),(44,1)}
       29:{1,2,4,6}:{(15,1),(16,1),(18,1),(19,1),(37,1),(40,1),(45,1),(46,1),(48,1),(61,1),(63,1)}
       30:{1,4,7}:{(15,1),(17,1),(20,1),(41,1)}
       31:{2,4,7}:{(16,1),(17,1),(38,1),(42,1)}
       32:{3,5}:{(18,1),(45,1),(47,1)}
       33:{2,3,6}:{(19,1),(21,1),(45,1),(48,1),(49,1)}
       34:{1,2,7}:{(19,1),(20,1),(49,1)}
       35:{2,4}:{(21,1),(47,1)}
       36:{1,3}:{(22,1)}
       37:{1,2,6}:{(23,1),(24,1),(50,1),(51,1)}
       38:{2,3,7}:{(23,1),(31,1),(51,1),(58,1)}
       39:{1,3,5}:{(24,1),(32,1),(36,1),(50,1),(52,1),(69,1)}
       40:{1,2,5,6}:{(25,1),(26,1),(29,1),(53,1),(54,1),(59,1),(69,1),(75,1),(80,1)}
       41:{1,5,7}:{(25,1),(27,1),(30,1),(55,1)}
       42:{2,5,7}:{(26,1),(27,1),(31,1),(56,1)}
       43:{3,6,7}:{(27,1),(28,1),(55,1),(56,1)}
       44:{5,6,7}:{(28,1),(82,1)}
       45:{3,6}:{(29,1),(32,1),(58,1)}
       46:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(51,1),(54,1),(58,1),(60,1),(70,1),(72,1)}
       47:{3,4}:{(32,1),(35,1),(52,1)}
       48:{2,4,6}:{(33,1),(35,1),(57,1),(59,1),(60,1),(75,1)}
       49:{2,3,7}:{(33,1),(34,1),(58,1),(60,1)}
       50:{1,3,6}:{(37,1),(39,1),(45,1),(61,1),(62,1)}
       51:{1,2,7}:{(37,1),(38,1),(62,1)}
       52:{1,4}:{(39,1),(47,1)}
       53:{3,5,6}:{(40,1),(45,1),(63,1),(64,1),(66,1),(79,1),(83,1)}
       54:{1,2,5,7}:{(40,1),(41,1),(42,1),(46,1),(64,1),(65,1),(68,1),(76,1)}
       55:{1,6,7}:{(41,1),(43,1)}
       56:{2,6,7}:{(42,1),(43,1)}
       57:{3,4,6}:{(45,1),(47,1),(48,1),(61,1),(63,1),(66,1),(67,1),(79,1)}
       58:{3,7}:{(45,1),(46,1)}
       59:{2,5}:{(48,1),(66,1)}
       60:{2,4,7}:{(48,1),(49,1),(67,1),(68,1)}
       61:{1,4,6}:{(50,1),(52,1),(57,1),(69,1),(70,1),(80,1)}
       62:{1,3,7}:{(50,1),(51,1),(58,1),(70,1)}
       63:{4,6}:{(53,1),(71,1),(72,1)}
       64:{3,5,7}:{(53,1),(54,1),(58,1),(72,1),(73,1),(82,1)}
       65:{1,2,6,7}:{(54,1),(55,1),(56,1),(73,1),(75,1),(80,1)}
       66:{3,5}:{(57,1),(59,1),(69,1),(71,1)}
       67:{3,4,7}:{(57,1),(58,1),(60,1),(70,1),(72,1),(74,1)}
       68:{2,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{1,5}:{(61,1),(66,1)}
       70:{1,4,7}:{(61,1),(62,1),(67,1),(76,1)}
       71:{4,5}:{(63,1),(66,1)}
       72:{4,7}:{(63,1),(64,1)}
       73:{3,6,7}:{(64,1),(65,1),(78,1),(79,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(77,1),(79,1)}
       75:{2,6}:{(68,1),(79,1)}
       76:{1,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,5,7}:{(71,1),(72,1),(74,1),(81,1),(82,1)}
       78:{4,6,7}:{(72,1),(73,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(81,1)}
       80:{1,6}:{(76,1),(79,1)}
       81:{4,6}:{(77,1),(79,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 550 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(52,1),(109,1)}
         1:{1,3,4,6}:{(2,1),(5,1),(6,1),(20,1),(23,1),(27,1),(52,1),(62,1)}
         2:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(35,1)}
         3:{1,2,3,5}:{(0,1),(8,1),(10,1),(33,1),(83,1),(88,1)}
         4:{1,2,3,7}:{(0,1),(9,1),(81,1),(138,1),(230,1)}
         5:{1,3,5}:{(1,1),(8,1),(13,1),(33,1),(92,1)}
         6:{1,3,4,7}:{(1,1),(9,1),(14,1),(38,1),(42,1),(81,1),(218,1)}
         7:{2,3,4,6}:{(2,1),(15,1),(16,1),(20,1),(47,1),(51,1),(52,1),(62,1)}
         8:{1,2,5}:{(2,1),(5,1),(15,1)}
         9:{1,2,4,7}:{(2,1),(4,1),(6,1),(16,1),(19,1),(227,1)}
        10:{1,2,4}:{(3,1),(20,1)}
        11:{1,2,3,5,7}:{(3,1),(4,1),(19,1),(21,1),(22,1),(57,1),(63,1),(114,1),(118,1),(169,1)}
        12:{1,3,5,6}:{(5,1),(17,1),(23,1),(24,1),(27,1),(52,1),(64,1),(71,1),(117,1)}
        13:{1,4,5}:{(5,1),(23,1),(25,1),(122,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(19,1),(26,1),(27,1),(57,1),(206,1),(224,1)}
        15:{2,3,5}:{(7,1),(8,1),(29,1),(33,1),(92,1)}
        16:{2,3,4,7}:{(7,1),(9,1),(30,1),(38,1),(74,1),(81,1),(219,1)}
        17:{1,2,5,6}:{(8,1),(12,1),(28,1),(31,1),(32,1),(35,1),(93,1),(130,1)}
        18:{1,2,4,5}:{(8,1),(10,1),(13,1),(29,1),(31,1),(33,1),(44,1),(76,1),(83,1)}
        19:{1,2,5,7}:{(8,1),(9,1),(14,1),(30,1),(35,1),(220,1),(229,1)}
        20:{3,4}:{(10,1),(33,1)}
        21:{1,2,4,7}:{(10,1),(11,1),(38,1),(39,1),(188,1)}
        22:{1,2,3,6}:{(11,1),(35,1),(39,1),(86,1),(142,1)}
        23:{1,4,6}:{(12,1),(13,1),(41,1),(42,1),(145,1)}
        24:{1,3,5,7}:{(12,1),(32,1),(42,1),(43,1),(81,1),(94,1),(98,1),(141,1)}
        25:{3,4,5}:{(13,1),(33,1),(41,1),(44,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(42,1),(45,1),(46,1),(98,1),(191,1),(215,1)}
        27:{1,3,6}:{(14,1),(35,1),(46,1),(86,1)}
        28:{2,3,5,6}:{(15,1),(17,1),(47,1),(48,1),(51,1),(52,1),(101,1),(108,1),(117,1)}
        29:{2,4,5}:{(15,1),(47,1),(49,1),(122,1)}
        30:{2,3,5,7}:{(15,1),(16,1),(19,1),(50,1),(51,1),(57,1),(207,1),(225,1)}
        31:{1,2,4,6}:{(17,1),(18,1),(23,1),(47,1),(52,1),(53,1),(66,1),(103,1),(109,1)}
        32:{1,2,5,7}:{(17,1),(24,1),(48,1),(53,1),(54,1),(123,1),(155,1)}
        33:{3,5}:{(18,1),(20,1),(52,1)}
        34:{1,2,4,5,7}:{(18,1),(19,1),(21,1),(26,1),(50,1),(53,1),(57,1),(58,1),(63,1),(69,1),(106,1),(113,1),(114,1),(122,1),(165,1),(170,1),(199,1)}
        35:{1,2,6}:{(19,1),(27,1),(51,1)}
        36:{1,3,4}:{(20,1),(55,1),(59,1)}
        37:{2,3,4}:{(20,1),(56,1),(59,1)}
        38:{3,4,7}:{(20,1),(21,1),(57,1),(62,1),(165,1),(205,1)}
        39:{1,2,4,6}:{(21,1),(22,1),(62,1),(63,1)}
        40:{1,4,5,6}:{(23,1),(64,1),(65,1),(71,1),(129,1)}
        41:{3,4,6}:{(23,1),(25,1),(52,1),(64,1),(66,1),(67,1)}
        42:{1,4,7}:{(23,1),(24,1),(67,1),(165,1)}
        43:{1,3,6,7}:{(24,1),(27,1),(54,1),(68,1),(112,1),(124,1),(224,1)}
        44:{2,4,5}:{(25,1),(56,1),(66,1)}
        45:{3,4,5,7}:{(25,1),(26,1),(57,1),(67,1),(69,1),(70,1),(122,1),(127,1),(165,1),(172,1),(201,1)}
        46:{1,4,6}:{(26,1),(27,1),(70,1),(71,1)}
        47:{2,4,6}:{(28,1),(29,1),(73,1),(74,1),(145,1)}
        48:{2,3,5,7}:{(28,1),(32,1),(74,1),(75,1),(81,1),(131,1),(135,1),(141,1)}
        49:{3,4,5}:{(29,1),(33,1),(73,1),(76,1)}
        50:{2,4,5,7}:{(29,1),(30,1),(74,1),(77,1),(78,1),(135,1),(190,1),(214,1)}
        51:{2,3,6}:{(30,1),(35,1),(78,1),(86,1)}
        52:{3,6}:{(31,1),(33,1),(81,1)}
        53:{1,2,4,7}:{(31,1),(32,1),(42,1),(74,1),(81,1),(96,1),(133,1),(138,1)}
        54:{1,2,6,7}:{(32,1),(35,1),(43,1),(75,1),(150,1),(177,1),(229,1)}
        55:{1,3,5}:{(33,1),(36,1),(76,1),(79,1),(83,1)}
        56:{2,3,5}:{(33,1),(37,1),(44,1),(80,1),(83,1)}
        57:{3,5,7}:{(33,1),(34,1),(38,1),(81,1),(86,1),(92,1),(189,1),(213,1)}
        58:{1,2,4,6}:{(34,1),(35,1),(46,1),(78,1),(86,1),(87,1),(99,1),(136,1),(142,1),(145,1)}
        59:{1,2,4}:{(36,1),(37,1),(83,1),(88,1)}
        60:{1,3,4,7}:{(36,1),(38,1),(84,1),(89,1),(90,1),(183,1),(213,1)}
        61:{2,3,4,7}:{(37,1),(38,1),(85,1),(89,1),(91,1),(184,1),(213,1)}
        62:{3,4,6}:{(38,1),(39,1),(86,1),(92,1),(145,1)}
        63:{1,2,5}:{(39,1),(92,1)}
        64:{3,5,6}:{(40,1),(41,1),(93,1),(94,1)}
        65:{1,4,5,7}:{(40,1),(42,1),(94,1),(95,1),(98,1),(153,1)}
        66:{2,4,6}:{(41,1),(44,1),(80,1),(93,1),(96,1)}
        67:{3,4,7}:{(41,1),(42,1),(81,1),(94,1),(96,1)}
        68:{1,4,6,7}:{(42,1),(43,1),(46,1),(97,1),(98,1),(215,1),(221,1)}
        69:{2,4,5,7}:{(44,1),(45,1),(85,1),(96,1),(99,1),(149,1),(152,1),(184,1)}
        70:{3,4,6}:{(45,1),(46,1),(86,1),(99,1),(100,1),(145,1)}
        71:{1,5,6}:{(46,1),(98,1),(100,1)}
        72:{2,4,5,6}:{(47,1),(101,1),(102,1),(108,1),(161,1)}
        73:{3,4,6}:{(47,1),(49,1),(52,1),(101,1),(103,1),(104,1)}
        74:{2,4,7}:{(47,1),(48,1),(104,1),(165,1)}
        75:{2,3,6,7}:{(48,1),(51,1),(54,1),(105,1),(112,1),(156,1),(225,1)}
        76:{1,4,5}:{(49,1),(55,1),(103,1)}
        77:{3,4,5,7}:{(49,1),(50,1),(57,1),(104,1),(106,1),(107,1),(122,1),(159,1),(165,1),(171,1),(200,1)}
        78:{2,4,6}:{(50,1),(51,1),(107,1),(108,1)}
        79:{1,3,6}:{(52,1),(55,1),(103,1),(109,1),(110,1)}
        80:{2,3,6}:{(52,1),(56,1),(66,1),(109,1),(111,1)}
        81:{3,7}:{(52,1),(53,1)}
        82:{1,2,4,6,7}:{(53,1),(54,1),(58,1),(68,1),(105,1),(112,1),(113,1),(126,1),(158,1),(162,1),(165,1),(199,1)}
        83:{1,2,5}:{(55,1),(56,1),(59,1),(109,1)}
        84:{1,3,5,7}:{(55,1),(57,1),(60,1),(106,1),(110,1),(114,1),(115,1),(120,1)}
        85:{2,3,5,7}:{(56,1),(57,1),(61,1),(69,1),(111,1),(114,1),(116,1),(121,1)}
        86:{3,6}:{(57,1),(58,1)}
        87:{1,2,5,6}:{(58,1),(63,1),(71,1),(108,1),(113,1),(117,1),(128,1),(160,1)}
        88:{1,2,3}:{(59,1)}
        89:{1,2,4,7}:{(59,1),(60,1),(61,1),(114,1),(118,1),(119,1)}
        90:{1,3,4,6}:{(60,1),(62,1),(115,1),(119,1),(120,1),(167,1),(202,1),(205,1)}
        91:{2,3,4,6}:{(61,1),(62,1),(116,1),(119,1),(121,1),(168,1),(202,1),(205,1)}
        92:{3,5}:{(62,1),(63,1),(122,1)}
        93:{2,5,6}:{(64,1),(66,1),(123,1)}
        94:{3,5,7}:{(64,1),(65,1),(67,1),(123,1),(124,1)}
        95:{1,4,6,7}:{(65,1),(124,1),(125,1),(174,1)}
        96:{2,4,7}:{(66,1),(67,1),(111,1),(123,1)}
        97:{3,4,6,7}:{(67,1),(68,1),(70,1),(112,1),(124,1),(126,1),(127,1),(165,1),(174,1),(201,1),(208,1)}
        98:{1,5,7}:{(68,1),(71,1),(127,1)}
        99:{2,4,6}:{(69,1),(70,1),(116,1),(128,1)}
       100:{3,5,6}:{(70,1),(71,1),(127,1),(128,1),(129,1)}
       101:{3,5,6}:{(72,1),(73,1),(130,1),(131,1)}
       102:{2,4,5,7}:{(72,1),(74,1),(131,1),(132,1),(135,1),(180,1)}
       103:{1,4,6}:{(73,1),(76,1),(79,1),(130,1),(133,1)}
       104:{3,4,7}:{(73,1),(74,1),(81,1),(131,1),(133,1)}
       105:{2,4,6,7}:{(74,1),(75,1),(78,1),(134,1),(135,1),(214,1),(228,1)}
       106:{1,4,5,7}:{(76,1),(77,1),(84,1),(133,1),(136,1),(148,1),(179,1),(183,1)}
       107:{3,4,6}:{(77,1),(78,1),(86,1),(136,1),(137,1),(145,1)}
       108:{2,5,6}:{(78,1),(135,1),(137,1)}
       109:{1,2,6}:{(79,1),(80,1),(83,1),(138,1)}
       110:{1,3,7}:{(79,1),(81,1),(133,1),(138,1)}
       111:{2,3,7}:{(80,1),(81,1),(96,1),(138,1)}
       112:{3,6,7}:{(81,1),(82,1),(86,1),(141,1),(213,1)}
       113:{1,2,5,7}:{(82,1),(87,1),(98,1),(135,1),(141,1),(152,1),(179,1)}
       114:{1,2,5,7}:{(83,1),(84,1),(85,1),(89,1),(138,1),(142,1),(147,1)}
       115:{1,3,6}:{(84,1),(86,1),(136,1),(142,1)}
       116:{2,3,6}:{(85,1),(86,1),(99,1),(142,1)}
       117:{3,5,6}:{(86,1),(87,1),(92,1),(141,1),(145,1)}
       118:{1,2,3,7}:{(88,1),(89,1),(146,1),(213,1),(229,1)}
       119:{1,2,4,6}:{(89,1),(90,1),(91,1),(142,1),(146,1),(147,1),(188,1)}
       120:{1,3,5}:{(90,1),(92,1),(147,1),(148,1),(189,1)}
       121:{2,3,5}:{(91,1),(92,1),(147,1),(149,1),(189,1)}
       122:{4,5}:{(92,1),(145,1)}
       123:{2,5,7}:{(93,1),(94,1),(96,1),(150,1)}
       124:{3,6,7}:{(94,1),(95,1),(150,1)}
       125:{1,5,6,7}:{(95,1),(98,1),(151,1),(221,1)}
       126:{2,4,6,7}:{(96,1),(97,1),(99,1),(140,1),(150,1),(152,1),(184,1)}
       127:{3,5,7}:{(97,1),(98,1),(100,1),(152,1),(153,1)}
       128:{2,5,6}:{(99,1),(100,1),(152,1)}
       129:{4,5,6}:{(100,1),(145,1),(153,1)}
       130:{1,5,6}:{(101,1),(103,1),(155,1)}
       131:{3,5,7}:{(101,1),(102,1),(104,1),(155,1),(156,1)}
       132:{2,4,6,7}:{(102,1),(156,1),(157,1),(196,1)}
       133:{1,4,7}:{(103,1),(104,1),(110,1),(155,1)}
       134:{3,4,6,7}:{(104,1),(105,1),(107,1),(112,1),(156,1),(158,1),(159,1),(165,1),(196,1),(200,1),(222,1)}
       135:{2,5,7}:{(105,1),(108,1),(159,1)}
       136:{1,4,6}:{(106,1),(107,1),(115,1),(160,1)}
       137:{3,5,6}:{(107,1),(108,1),(159,1),(160,1),(161,1)}
       138:{1,2,7}:{(109,1),(110,1),(111,1)}
       139:{1,3,6,7}:{(110,1),(112,1),(115,1),(158,1),(162,1),(163,1),(222,1)}
       140:{2,3,6,7}:{(111,1),(112,1),(116,1),(126,1),(162,1),(164,1),(208,1)}
       141:{3,5,7}:{(112,1),(113,1),(117,1),(165,1)}
       142:{1,2,6}:{(114,1),(115,1),(116,1)}
       143:{1,3,5,6}:{(115,1),(117,1),(120,1),(160,1),(163,1),(166,1),(167,1),(198,1),(202,1)}
       144:{2,3,5,6}:{(116,1),(117,1),(121,1),(128,1),(164,1),(166,1),(168,1),(176,1),(202,1)}
       145:{4,6}:{(117,1),(122,1),(165,1)}
       146:{1,2,3,6}:{(118,1),(119,1),(169,1),(202,1),(226,1)}
       147:{1,2,5}:{(119,1),(120,1),(121,1)}
       148:{1,4,5}:{(120,1),(122,1),(167,1),(171,1)}
       149:{2,4,5}:{(121,1),(122,1),(168,1),(172,1)}
       150:{2,6,7}:{(123,1),(124,1)}
       151:{3,5,6,7}:{(124,1),(125,1),(127,1),(173,1),(174,1),(208,1)}
       152:{2,5,7}:{(126,1),(127,1),(128,1)}
       153:{4,5,7}:{(127,1),(129,1),(165,1),(174,1)}
       154:{2,4,5,6}:{(128,1),(129,1),(168,1),(175,1),(176,1)}
       155:{1,5,7}:{(130,1),(131,1),(133,1),(177,1)}
       156:{3,6,7}:{(131,1),(132,1),(177,1)}
       157:{2,5,6,7}:{(132,1),(135,1),(178,1),(228,1)}
       158:{1,4,6,7}:{(133,1),(134,1),(136,1),(139,1),(177,1),(179,1),(183,1)}
       159:{3,5,7}:{(134,1),(135,1),(137,1),(179,1),(180,1)}
       160:{1,5,6}:{(136,1),(137,1),(179,1)}
       161:{4,5,6}:{(137,1),(145,1),(180,1)}
       162:{1,2,6,7}:{(138,1),(139,1),(140,1),(142,1),(182,1),(221,1),(228,1)}
       163:{1,3,5,7}:{(139,1),(141,1),(143,1),(179,1),(182,1),(183,1),(211,1),(213,1)}
       164:{2,3,5,7}:{(140,1),(141,1),(144,1),(152,1),(182,1),(184,1),(193,1),(213,1)}
       165:{4,7}:{(141,1),(145,1)}
       166:{1,2,5,6}:{(142,1),(143,1),(144,1),(147,1),(182,1),(185,1),(194,1),(212,1)}
       167:{1,4,6}:{(143,1),(145,1),(148,1),(183,1),(186,1)}
       168:{2,4,6}:{(144,1),(145,1),(149,1),(184,1),(187,1)}
       169:{1,2,3,5}:{(146,1),(147,1),(188,1),(189,1),(220,1),(230,1)}
       170:{1,2,4,5}:{(147,1),(148,1),(149,1),(185,1),(188,1),(189,1),(190,1),(191,1),(220,1)}
       171:{3,4,5}:{(148,1),(186,1),(189,1),(190,1)}
       172:{3,4,5}:{(149,1),(187,1),(189,1),(191,1)}
       173:{2,5,6,7}:{(150,1),(151,1),(152,1),(192,1)}
       174:{4,6,7}:{(151,1),(153,1)}
       175:{2,4,5,7}:{(152,1),(153,1),(154,1),(184,1),(192,1),(193,1)}
       176:{3,5,6}:{(154,1),(187,1),(193,1),(194,1)}
       177:{1,6,7}:{(155,1),(156,1)}
       178:{3,5,6,7}:{(156,1),(157,1),(159,1),(195,1),(196,1),(222,1)}
       179:{1,5,7}:{(158,1),(159,1),(160,1)}
       180:{4,5,7}:{(159,1),(161,1),(165,1),(196,1)}
       181:{1,4,5,6}:{(160,1),(161,1),(167,1),(197,1),(198,1)}
       182:{1,2,5,7}:{(162,1),(163,1),(164,1),(166,1),(199,1),(209,1),(223,1)}
       183:{1,4,7}:{(163,1),(165,1),(167,1),(200,1)}
       184:{2,4,7}:{(164,1),(165,1),(168,1),(201,1)}
       185:{1,2,4,6}:{(166,1),(167,1),(168,1),(170,1),(199,1),(202,1),(203,1),(204,1),(226,1)}
       186:{3,4,6}:{(167,1),(171,1),(198,1),(200,1),(202,1),(203,1)}
       187:{3,4,6}:{(168,1),(172,1),(176,1),(201,1),(202,1),(204,1)}
       188:{1,2,4}:{(169,1),(205,1)}
       189:{3,5}:{(170,1),(202,1),(205,1)}
       190:{2,4,5}:{(171,1),(203,1),(207,1)}
       191:{1,4,5}:{(172,1),(204,1),(206,1)}
       192:{2,4,6,7}:{(173,1),(174,1),(175,1),(208,1)}
       193:{3,5,7}:{(175,1),(176,1),(201,1),(208,1),(209,1)}
       194:{1,5,6}:{(176,1),(204,1),(209,1)}
       195:{1,5,6,7}:{(177,1),(178,1),(179,1),(210,1)}
       196:{4,6,7}:{(178,1),(180,1)}
       197:{1,4,5,7}:{(179,1),(180,1),(181,1),(183,1),(210,1),(211,1)}
       198:{3,5,6}:{(181,1),(186,1),(211,1),(212,1)}
       199:{1,2,4,7}:{(182,1),(183,1),(184,1),(185,1),(213,1),(214,1),(215,1),(229,1)}
       200:{3,4,7}:{(183,1),(186,1),(211,1),(213,1),(214,1)}
       201:{3,4,7}:{(184,1),(187,1),(193,1),(213,1),(215,1)}
       202:{3,6}:{(185,1),(189,1),(213,1)}
       203:{2,4,6}:{(186,1),(190,1),(212,1),(214,1),(217,1)}
       204:{1,4,6}:{(187,1),(191,1),(194,1),(215,1),(216,1)}
       205:{3,4}:{(188,1),(189,1)}
       206:{1,3,5}:{(189,1),(191,1),(216,1),(218,1),(220,1)}
       207:{2,3,5}:{(189,1),(190,1),(217,1),(219,1),(220,1)}
       208:{3,6,7}:{(192,1),(193,1),(221,1)}
       209:{1,5,7}:{(193,1),(194,1),(215,1),(221,1)}
       210:{1,4,6,7}:{(195,1),(196,1),(197,1),(222,1)}
       211:{3,5,7}:{(197,1),(198,1),(200,1),(222,1),(223,1)}
       212:{2,5,6}:{(198,1),(203,1),(223,1)}
       213:{3,7}:{(199,1),(202,1)}
       214:{2,4,7}:{(200,1),(203,1),(223,1),(225,1)}
       215:{1,4,7}:{(201,1),(204,1),(209,1),(224,1)}
       216:{1,3,6}:{(202,1),(204,1),(206,1),(224,1),(226,1)}
       217:{2,3,6}:{(202,1),(203,1),(207,1),(225,1),(226,1)}
       218:{1,3,4}:{(205,1),(206,1),(227,1)}
       219:{2,3,4}:{(205,1),(207,1),(227,1)}
       220:{1,2,5}:{(206,1),(207,1),(226,1),(227,1)}
       221:{1,6,7}:{(208,1),(209,1)}
       222:{3,6,7}:{(210,1),(211,1),(228,1)}
       223:{2,5,7}:{(211,1),(212,1),(214,1),(228,1)}
       224:{1,3,7}:{(213,1),(215,1),(216,1),(229,1)}
       225:{2,3,7}:{(213,1),(214,1),(217,1),(229,1)}
       226:{1,2,6}:{(216,1),(217,1),(220,1),(229,1)}
       227:{1,2,4}:{(218,1),(219,1),(220,1),(230,1)}
       228:{2,6,7}:{(222,1),(223,1)}
       229:{1,2,7}:{(224,1),(225,1),(226,1)}
       230:{1,2,3}:{(227,1)}

 551 :   0:{1,2,3,7}:{(2,1),(4,1),(123,1),(183,1),(230,1)}
         1:{1,3,4,7}:{(2,1),(5,1),(6,1),(21,1),(73,1),(123,1),(218,1)}
         2:{1,2,4,7}:{(0,1),(1,1),(7,1),(8,1),(9,1),(227,1)}
         3:{1,2,3,5,7}:{(0,1),(8,1),(10,1),(11,1),(12,1),(32,1),(40,1),(83,1),(93,1),(159,1)}
         4:{1,2,3,6}:{(0,1),(9,1),(12,1),(90,1),(158,1)}
         5:{1,3,5,7}:{(1,1),(8,1),(13,1),(14,1),(15,1),(32,1),(205,1),(224,1)}
         6:{1,3,4,6}:{(1,1),(9,1),(14,1),(15,1),(39,1),(41,1),(47,1),(90,1)}
         7:{2,3,4,7}:{(2,1),(16,1),(17,1),(21,1),(113,1),(123,1),(219,1)}
         8:{1,2,5,7}:{(2,1),(5,1),(16,1),(19,1),(20,1),(220,1),(229,1)}
         9:{1,2,4,6}:{(2,1),(4,1),(6,1),(17,1),(19,1),(20,1),(23,1)}
        10:{1,2,4,7}:{(3,1),(21,1),(22,1),(23,1),(184,1)}
        11:{1,2,3,6}:{(3,1),(19,1),(22,1),(56,1),(116,1)}
        12:{1,2,3,5}:{(4,1),(20,1),(23,1),(61,1),(126,1),(131,1)}
        13:{1,4,5,7}:{(5,1),(24,1),(25,1),(28,1),(71,1),(73,1),(187,1),(217,1)}
        14:{1,3,6}:{(5,1),(19,1),(25,1),(56,1)}
        15:{1,3,5}:{(6,1),(20,1),(28,1),(61,1),(65,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(29,1),(30,1),(31,1),(32,1),(206,1),(225,1)}
        17:{2,3,4,6}:{(7,1),(9,1),(30,1),(31,1),(39,1),(41,1),(81,1),(90,1)}
        18:{1,2,4,5,7}:{(8,1),(10,1),(13,1),(29,1),(32,1),(33,1),(36,1),(40,1),(42,1),(76,1),(83,1),(88,1),(89,1),(97,1),(155,1),(160,1),(198,1)}
        19:{1,2,6}:{(8,1),(14,1),(30,1)}
        20:{1,2,5}:{(9,1),(15,1),(31,1)}
        21:{3,4,7}:{(10,1),(32,1),(39,1),(41,1),(155,1),(204,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(39,1),(40,1)}
        23:{1,2,4}:{(12,1),(41,1)}
        24:{3,4,5,7}:{(13,1),(32,1),(42,1),(43,1),(48,1),(97,1),(101,1),(106,1),(155,1),(162,1),(202,1)}
        25:{1,4,6}:{(13,1),(14,1),(43,1),(45,1)}
        26:{1,3,6,7}:{(14,1),(34,1),(44,1),(46,1),(86,1),(167,1),(224,1)}
        27:{1,3,5,6}:{(14,1),(15,1),(35,1),(45,1),(46,1),(47,1),(87,1),(90,1),(105,1)}
        28:{1,4,5}:{(15,1),(47,1),(48,1),(97,1)}
        29:{2,4,5,7}:{(16,1),(49,1),(50,1),(53,1),(111,1),(113,1),(186,1),(216,1)}
        30:{2,3,6}:{(16,1),(19,1),(50,1),(56,1)}
        31:{2,3,5}:{(17,1),(20,1),(53,1),(61,1),(65,1)}
        32:{3,5,7}:{(18,1),(21,1),(56,1),(61,1),(65,1),(123,1),(185,1),(213,1)}
        33:{1,2,4,6}:{(18,1),(19,1),(25,1),(50,1),(56,1),(58,1),(68,1),(108,1),(116,1),(122,1)}
        34:{1,2,6,7}:{(19,1),(26,1),(51,1),(59,1),(191,1),(212,1),(229,1)}
        35:{1,2,5,6}:{(19,1),(20,1),(27,1),(52,1),(59,1),(60,1),(138,1),(175,1)}
        36:{1,2,4,5}:{(20,1),(23,1),(28,1),(53,1),(60,1),(61,1),(75,1),(115,1),(126,1)}
        37:{1,3,4,7}:{(21,1),(54,1),(62,1),(63,1),(66,1),(179,1),(213,1)}
        38:{2,3,4,7}:{(21,1),(55,1),(62,1),(64,1),(67,1),(181,1),(213,1)}
        39:{3,4,6}:{(21,1),(22,1),(56,1),(65,1),(122,1)}
        40:{1,2,5}:{(22,1),(65,1)}
        41:{3,4}:{(23,1),(61,1)}
        42:{2,4,5,7}:{(24,1),(55,1),(68,1),(75,1),(130,1),(132,1),(139,1),(181,1)}
        43:{3,4,6}:{(24,1),(25,1),(56,1),(68,1),(70,1),(122,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(69,1),(71,1),(73,1),(217,1),(221,1)}
        45:{1,5,6}:{(25,1),(70,1),(71,1)}
        46:{1,3,5,7}:{(26,1),(27,1),(59,1),(71,1),(73,1),(121,1),(123,1),(137,1)}
        47:{1,4,6}:{(27,1),(28,1),(73,1),(74,1),(122,1)}
        48:{3,4,5}:{(28,1),(61,1),(74,1),(75,1)}
        49:{3,4,5,7}:{(29,1),(32,1),(76,1),(77,1),(82,1),(97,1),(142,1),(147,1),(155,1),(161,1),(200,1)}
        50:{2,4,6}:{(29,1),(30,1),(77,1),(79,1)}
        51:{2,3,6,7}:{(30,1),(34,1),(78,1),(80,1),(86,1),(196,1),(225,1)}
        52:{2,3,5,6}:{(30,1),(31,1),(35,1),(79,1),(80,1),(81,1),(87,1),(90,1),(146,1)}
        53:{2,4,5}:{(31,1),(81,1),(82,1),(97,1)}
        54:{1,3,5,7}:{(32,1),(37,1),(76,1),(83,1),(84,1),(91,1),(95,1),(156,1)}
        55:{2,3,5,7}:{(32,1),(38,1),(42,1),(83,1),(85,1),(92,1),(96,1),(157,1)}
        56:{3,6}:{(32,1),(33,1)}
        57:{1,2,4,6,7}:{(33,1),(34,1),(44,1),(78,1),(86,1),(88,1),(89,1),(99,1),(140,1),(149,1),(155,1),(198,1)}
        58:{1,2,5,6}:{(33,1),(40,1),(45,1),(79,1),(87,1),(88,1),(100,1),(141,1)}
        59:{1,2,5,7}:{(34,1),(35,1),(46,1),(80,1),(89,1),(168,1),(197,1)}
        60:{1,2,4,6}:{(35,1),(36,1),(47,1),(81,1),(89,1),(90,1),(107,1),(148,1),(158,1)}
        61:{3,5}:{(36,1),(41,1),(90,1)}
        62:{1,2,4,7}:{(37,1),(38,1),(83,1),(93,1),(94,1),(98,1)}
        63:{1,3,4,6}:{(37,1),(39,1),(84,1),(94,1),(95,1),(152,1),(199,1),(204,1)}
        64:{2,3,4,6}:{(38,1),(39,1),(85,1),(94,1),(96,1),(154,1),(199,1),(204,1)}
        65:{3,5}:{(39,1),(40,1),(97,1)}
        66:{1,3,4}:{(41,1),(91,1),(98,1)}
        67:{2,3,4}:{(41,1),(92,1),(98,1)}
        68:{2,4,6}:{(42,1),(43,1),(85,1),(100,1)}
        69:{3,4,6,7}:{(43,1),(44,1),(86,1),(99,1),(101,1),(106,1),(155,1),(166,1),(167,1),(202,1),(207,1)}
        70:{3,5,6}:{(43,1),(45,1),(100,1),(101,1),(102,1)}
        71:{1,5,7}:{(44,1),(45,1),(101,1)}
        72:{1,4,5,6}:{(45,1),(47,1),(102,1),(104,1),(105,1)}
        73:{1,4,7}:{(46,1),(47,1),(106,1),(155,1)}
        74:{3,4,6}:{(47,1),(48,1),(90,1),(105,1),(106,1),(107,1)}
        75:{2,4,5}:{(48,1),(92,1),(107,1)}
        76:{1,4,5,7}:{(49,1),(54,1),(108,1),(115,1),(129,1),(169,1),(176,1),(179,1)}
        77:{3,4,6}:{(49,1),(50,1),(56,1),(108,1),(110,1),(122,1)}
        78:{2,4,6,7}:{(50,1),(51,1),(109,1),(111,1),(113,1),(216,1),(228,1)}
        79:{2,5,6}:{(50,1),(110,1),(111,1)}
        80:{2,3,5,7}:{(51,1),(52,1),(59,1),(111,1),(113,1),(121,1),(123,1),(174,1)}
        81:{2,4,6}:{(52,1),(53,1),(113,1),(114,1),(122,1)}
        82:{3,4,5}:{(53,1),(61,1),(114,1),(115,1)}
        83:{1,2,5,7}:{(54,1),(55,1),(62,1),(116,1),(126,1),(128,1),(183,1)}
        84:{1,3,6}:{(54,1),(56,1),(108,1),(116,1)}
        85:{2,3,6}:{(55,1),(56,1),(68,1),(116,1)}
        86:{3,6,7}:{(56,1),(57,1),(121,1),(123,1),(213,1)}
        87:{3,5,6}:{(56,1),(58,1),(65,1),(121,1),(122,1)}
        88:{1,2,5,7}:{(57,1),(58,1),(71,1),(111,1),(121,1),(132,1),(169,1)}
        89:{1,2,4,7}:{(59,1),(60,1),(73,1),(113,1),(123,1),(139,1),(176,1),(183,1)}
        90:{3,6}:{(60,1),(61,1),(123,1)}
        91:{1,3,5}:{(61,1),(66,1),(115,1),(124,1),(126,1)}
        92:{2,3,5}:{(61,1),(67,1),(75,1),(125,1),(126,1)}
        93:{1,2,3,7}:{(62,1),(127,1),(131,1),(213,1),(229,1)}
        94:{1,2,4,6}:{(62,1),(63,1),(64,1),(116,1),(127,1),(128,1),(184,1)}
        95:{1,3,5}:{(63,1),(65,1),(128,1),(129,1),(185,1)}
        96:{2,3,5}:{(64,1),(65,1),(128,1),(130,1),(185,1)}
        97:{4,5}:{(65,1),(122,1)}
        98:{1,2,4}:{(66,1),(67,1),(126,1),(131,1)}
        99:{2,4,6,7}:{(68,1),(69,1),(119,1),(132,1),(139,1),(181,1),(191,1)}
       100:{2,5,6}:{(68,1),(70,1),(132,1)}
       101:{3,5,7}:{(69,1),(70,1),(71,1),(132,1),(135,1)}
       102:{4,5,6}:{(70,1),(122,1),(135,1)}
       103:{1,5,6,7}:{(71,1),(134,1),(136,1),(221,1)}
       104:{1,4,5,7}:{(71,1),(72,1),(73,1),(135,1),(136,1),(137,1)}
       105:{3,5,6}:{(72,1),(74,1),(137,1),(138,1)}
       106:{3,4,7}:{(73,1),(74,1),(123,1),(137,1),(139,1)}
       107:{2,4,6}:{(74,1),(75,1),(125,1),(138,1),(139,1)}
       108:{1,4,6}:{(76,1),(77,1),(84,1),(141,1)}
       109:{3,4,6,7}:{(77,1),(78,1),(86,1),(140,1),(142,1),(147,1),(155,1),(195,1),(196,1),(200,1),(222,1)}
       110:{3,5,6}:{(77,1),(79,1),(141,1),(142,1),(143,1)}
       111:{2,5,7}:{(78,1),(79,1),(142,1)}
       112:{2,4,5,6}:{(79,1),(81,1),(143,1),(145,1),(146,1)}
       113:{2,4,7}:{(80,1),(81,1),(147,1),(155,1)}
       114:{3,4,6}:{(81,1),(82,1),(90,1),(146,1),(147,1),(148,1)}
       115:{1,4,5}:{(82,1),(91,1),(148,1)}
       116:{1,2,6}:{(83,1),(84,1),(85,1)}
       117:{1,3,6,7}:{(84,1),(86,1),(140,1),(149,1),(151,1),(156,1),(222,1)}
       118:{1,3,5,6}:{(84,1),(87,1),(95,1),(141,1),(150,1),(151,1),(152,1),(194,1),(199,1)}
       119:{2,3,6,7}:{(85,1),(86,1),(99,1),(149,1),(153,1),(157,1),(207,1)}
       120:{2,3,5,6}:{(85,1),(87,1),(96,1),(100,1),(150,1),(153,1),(154,1),(165,1),(199,1)}
       121:{3,5,7}:{(86,1),(87,1),(88,1),(155,1)}
       122:{4,6}:{(87,1),(97,1),(155,1)}
       123:{3,7}:{(89,1),(90,1)}
       124:{1,3,6}:{(90,1),(91,1),(148,1),(156,1),(158,1)}
       125:{2,3,6}:{(90,1),(92,1),(107,1),(157,1),(158,1)}
       126:{1,2,5}:{(91,1),(92,1),(98,1),(158,1)}
       127:{1,2,3,6}:{(93,1),(94,1),(159,1),(199,1),(226,1)}
       128:{1,2,5}:{(94,1),(95,1),(96,1)}
       129:{1,4,5}:{(95,1),(97,1),(152,1),(161,1)}
       130:{2,4,5}:{(96,1),(97,1),(154,1),(162,1)}
       131:{1,2,3}:{(98,1)}
       132:{2,5,7}:{(99,1),(100,1),(101,1)}
       133:{2,4,5,6}:{(100,1),(102,1),(154,1),(164,1),(165,1)}
       134:{3,5,6,7}:{(101,1),(103,1),(163,1),(166,1),(167,1),(207,1)}
       135:{4,5,7}:{(101,1),(102,1),(155,1),(166,1)}
       136:{1,4,6,7}:{(103,1),(104,1),(166,1),(167,1)}
       137:{3,5,7}:{(104,1),(105,1),(106,1),(167,1),(168,1)}
       138:{2,5,6}:{(105,1),(107,1),(168,1)}
       139:{2,4,7}:{(106,1),(107,1),(157,1),(168,1)}
       140:{1,4,6,7}:{(108,1),(109,1),(117,1),(169,1),(176,1),(179,1),(212,1)}
       141:{1,5,6}:{(108,1),(110,1),(169,1)}
       142:{3,5,7}:{(109,1),(110,1),(111,1),(169,1),(172,1)}
       143:{4,5,6}:{(110,1),(122,1),(172,1)}
       144:{2,5,6,7}:{(111,1),(171,1),(173,1),(228,1)}
       145:{2,4,5,7}:{(111,1),(112,1),(113,1),(172,1),(173,1),(174,1)}
       146:{3,5,6}:{(112,1),(114,1),(174,1),(175,1)}
       147:{3,4,7}:{(113,1),(114,1),(123,1),(174,1),(176,1)}
       148:{1,4,6}:{(114,1),(115,1),(124,1),(175,1),(176,1)}
       149:{1,2,6,7}:{(116,1),(117,1),(119,1),(177,1),(183,1),(221,1),(228,1)}
       150:{1,2,5,6}:{(116,1),(118,1),(120,1),(128,1),(177,1),(178,1),(190,1),(211,1)}
       151:{1,3,5,7}:{(117,1),(118,1),(121,1),(169,1),(177,1),(179,1),(210,1),(213,1)}
       152:{1,4,6}:{(118,1),(122,1),(129,1),(179,1),(180,1)}
       153:{2,3,5,7}:{(119,1),(120,1),(121,1),(132,1),(177,1),(181,1),(189,1),(213,1)}
       154:{2,4,6}:{(120,1),(122,1),(130,1),(181,1),(182,1)}
       155:{4,7}:{(121,1),(122,1)}
       156:{1,3,7}:{(123,1),(124,1),(176,1),(183,1)}
       157:{2,3,7}:{(123,1),(125,1),(139,1),(183,1)}
       158:{1,2,6}:{(124,1),(125,1),(126,1),(183,1)}
       159:{1,2,3,5}:{(127,1),(128,1),(184,1),(185,1),(220,1),(230,1)}
       160:{1,2,4,5}:{(128,1),(129,1),(130,1),(178,1),(184,1),(185,1),(186,1),(187,1),(220,1)}
       161:{3,4,5}:{(129,1),(180,1),(185,1),(186,1)}
       162:{3,4,5}:{(130,1),(182,1),(185,1),(187,1)}
       163:{2,5,6,7}:{(132,1),(134,1),(188,1),(191,1)}
       164:{2,4,5,7}:{(132,1),(133,1),(135,1),(181,1),(188,1),(189,1)}
       165:{3,5,6}:{(133,1),(182,1),(189,1),(190,1)}
       166:{4,6,7}:{(134,1),(135,1)}
       167:{3,6,7}:{(136,1),(137,1),(191,1)}
       168:{2,5,7}:{(137,1),(138,1),(139,1),(191,1)}
       169:{1,5,7}:{(140,1),(141,1),(142,1)}
       170:{1,4,5,6}:{(141,1),(143,1),(152,1),(193,1),(194,1)}
       171:{3,5,6,7}:{(142,1),(144,1),(192,1),(195,1),(196,1),(222,1)}
       172:{4,5,7}:{(142,1),(143,1),(155,1),(195,1)}
       173:{2,4,6,7}:{(144,1),(145,1),(195,1),(196,1)}
       174:{3,5,7}:{(145,1),(146,1),(147,1),(196,1),(197,1)}
       175:{1,5,6}:{(146,1),(148,1),(197,1)}
       176:{1,4,7}:{(147,1),(148,1),(156,1),(197,1)}
       177:{1,2,5,7}:{(149,1),(150,1),(151,1),(153,1),(198,1),(208,1),(223,1)}
       178:{1,2,4,6}:{(150,1),(152,1),(154,1),(160,1),(198,1),(199,1),(201,1),(203,1),(226,1)}
       179:{1,4,7}:{(151,1),(152,1),(155,1),(200,1)}
       180:{3,4,6}:{(152,1),(161,1),(194,1),(199,1),(200,1),(201,1)}
       181:{2,4,7}:{(153,1),(154,1),(155,1),(202,1)}
       182:{3,4,6}:{(154,1),(162,1),(165,1),(199,1),(202,1),(203,1)}
       183:{1,2,7}:{(156,1),(157,1),(158,1)}
       184:{1,2,4}:{(159,1),(204,1)}
       185:{3,5}:{(160,1),(199,1),(204,1)}
       186:{2,4,5}:{(161,1),(201,1),(206,1)}
       187:{1,4,5}:{(162,1),(203,1),(205,1)}
       188:{2,4,6,7}:{(163,1),(164,1),(166,1),(207,1)}
       189:{3,5,7}:{(164,1),(165,1),(202,1),(207,1),(208,1)}
       190:{1,5,6}:{(165,1),(203,1),(208,1)}
       191:{2,6,7}:{(167,1),(168,1)}
       192:{1,5,6,7}:{(169,1),(171,1),(209,1),(212,1)}
       193:{1,4,5,7}:{(169,1),(170,1),(172,1),(179,1),(209,1),(210,1)}
       194:{3,5,6}:{(170,1),(180,1),(210,1),(211,1)}
       195:{4,6,7}:{(171,1),(172,1)}
       196:{3,6,7}:{(173,1),(174,1),(212,1)}
       197:{1,5,7}:{(174,1),(175,1),(176,1),(212,1)}
       198:{1,2,4,7}:{(177,1),(178,1),(179,1),(181,1),(213,1),(216,1),(217,1),(229,1)}
       199:{3,6}:{(178,1),(185,1),(213,1)}
       200:{3,4,7}:{(179,1),(180,1),(210,1),(213,1),(216,1)}
       201:{2,4,6}:{(180,1),(186,1),(211,1),(215,1),(216,1)}
       202:{3,4,7}:{(181,1),(182,1),(189,1),(213,1),(217,1)}
       203:{1,4,6}:{(182,1),(187,1),(190,1),(214,1),(217,1)}
       204:{3,4}:{(184,1),(185,1)}
       205:{1,3,5}:{(185,1),(187,1),(214,1),(218,1),(220,1)}
       206:{2,3,5}:{(185,1),(186,1),(215,1),(219,1),(220,1)}
       207:{3,6,7}:{(188,1),(189,1),(221,1)}
       208:{1,5,7}:{(189,1),(190,1),(217,1),(221,1)}
       209:{1,4,6,7}:{(192,1),(193,1),(195,1),(222,1)}
       210:{3,5,7}:{(193,1),(194,1),(200,1),(222,1),(223,1)}
       211:{2,5,6}:{(194,1),(201,1),(223,1)}
       212:{1,6,7}:{(196,1),(197,1)}
       213:{3,7}:{(198,1),(199,1)}
       214:{1,3,6}:{(199,1),(203,1),(205,1),(224,1),(226,1)}
       215:{2,3,6}:{(199,1),(201,1),(206,1),(225,1),(226,1)}
       216:{2,4,7}:{(200,1),(201,1),(223,1),(225,1)}
       217:{1,4,7}:{(202,1),(203,1),(208,1),(224,1)}
       218:{1,3,4}:{(204,1),(205,1),(227,1)}
       219:{2,3,4}:{(204,1),(206,1),(227,1)}
       220:{1,2,5}:{(205,1),(206,1),(226,1),(227,1)}
       221:{1,6,7}:{(207,1),(208,1)}
       222:{3,6,7}:{(209,1),(210,1),(228,1)}
       223:{2,5,7}:{(210,1),(211,1),(216,1),(228,1)}
       224:{1,3,7}:{(213,1),(214,1),(217,1),(229,1)}
       225:{2,3,7}:{(213,1),(215,1),(216,1),(229,1)}
       226:{1,2,6}:{(214,1),(215,1),(220,1),(229,1)}
       227:{1,2,4}:{(218,1),(219,1),(220,1),(230,1)}
       228:{2,6,7}:{(222,1),(223,1)}
       229:{1,2,7}:{(224,1),(225,1),(226,1)}
       230:{1,2,3}:{(227,1)}

 552 :   0:{1,3,5,6}:{(2,1),(3,1),(4,1),(18,1),(21,1),(50,1),(60,1),(61,1),(94,1),(96,1),(125,1),(150,1)}
         1:{2,3,5,6}:{(2,1),(5,1),(6,1),(18,1),(26,1),(51,1),(65,1),(66,1),(95,1),(96,1),(126,1),(150,1)}
         2:{1,2,5,6}:{(0,1),(1,1),(7,1),(8,1),(37,1),(43,1),(72,1),(81,1),(85,1),(112,1),(139,1)}
         3:{1,4,6}:{(0,1),(9,1),(10,1),(11,1),(69,1),(115,1),(159,1)}
         4:{1,3,5,7}:{(0,1),(8,1),(11,1),(12,1),(35,1),(38,1),(42,1),(80,1)}
         5:{2,4,6}:{(1,1),(13,1),(14,1),(15,1),(70,1),(115,1),(159,1)}
         6:{2,3,5,7}:{(1,1),(8,1),(15,1),(16,1),(35,1),(44,1),(48,1),(80,1)}
         7:{1,2,4,6}:{(2,1),(3,1),(5,1),(17,1),(18,1),(19,1),(23,1),(28,1),(54,1),(89,1)}
         8:{1,2,5,7}:{(2,1),(4,1),(6,1),(19,1),(20,1),(59,1),(64,1)}
         9:{1,4,5}:{(3,1),(21,1),(125,1),(127,1)}
        10:{3,4,6}:{(3,1),(18,1),(21,1),(23,1),(24,1),(49,1),(60,1)}
        11:{1,4,7}:{(3,1),(4,1),(24,1),(100,1)}
        12:{1,3,6,7}:{(4,1),(20,1),(25,1),(57,1),(60,1),(94,1),(157,1)}
        13:{2,4,5}:{(5,1),(26,1),(126,1),(127,1)}
        14:{3,4,6}:{(5,1),(18,1),(26,1),(28,1),(29,1),(49,1),(65,1)}
        15:{2,4,7}:{(5,1),(6,1),(29,1),(100,1)}
        16:{2,3,6,7}:{(6,1),(20,1),(30,1),(57,1),(65,1),(95,1),(158,1)}
        17:{1,2,4,5}:{(7,1),(9,1),(13,1),(31,1),(37,1),(43,1),(69,1),(70,1),(72,1),(139,1),(159,1)}
        18:{3,6}:{(7,1),(31,1),(35,1),(107,1)}
        19:{1,2,4,7}:{(7,1),(8,1),(11,1),(15,1),(35,1),(40,1),(46,1),(77,1)}
        20:{1,2,6,7}:{(8,1),(12,1),(16,1),(81,1),(85,1),(112,1),(165,1)}
        21:{3,5}:{(9,1),(10,1),(37,1)}
        22:{1,4,5,7}:{(9,1),(11,1),(38,1),(39,1),(42,1),(84,1)}
        23:{2,4,6}:{(10,1),(34,1),(37,1),(40,1),(70,1),(81,1)}
        24:{3,4,7}:{(10,1),(11,1),(35,1),(38,1),(40,1)}
        25:{1,4,6,7}:{(11,1),(12,1),(39,1),(41,1),(42,1),(109,1),(147,1),(148,1)}
        26:{3,5}:{(13,1),(14,1),(43,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(44,1),(45,1),(48,1),(88,1)}
        28:{1,4,6}:{(14,1),(33,1),(43,1),(46,1),(69,1),(85,1)}
        29:{3,4,7}:{(14,1),(15,1),(35,1),(44,1),(46,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(45,1),(47,1),(48,1),(110,1),(146,1),(149,1)}
        31:{3,5}:{(17,1),(18,1),(49,1)}
        32:{1,2,4,5,7}:{(17,1),(19,1),(22,1),(27,1),(52,1),(53,1),(58,1),(59,1),(64,1),(90,1),(91,1),(93,1),(100,1),(103,1),(106,1),(125,1),(126,1),(127,1),(131,1),(135,1),(137,1),(151,1)}
        33:{1,3,6}:{(18,1),(28,1),(50,1),(54,1),(55,1)}
        34:{2,3,6}:{(18,1),(23,1),(51,1),(54,1),(56,1)}
        35:{3,7}:{(18,1),(19,1)}
        36:{1,2,4,6,7}:{(19,1),(20,1),(25,1),(30,1),(53,1),(57,1),(58,1),(62,1),(67,1),(97,1),(100,1),(124,1),(131,1)}
        37:{2,5}:{(21,1),(23,1)}
        38:{3,5,7}:{(21,1),(22,1),(24,1),(59,1),(60,1)}
        39:{1,4,6}:{(22,1),(60,1),(61,1),(102,1)}
        40:{2,4,7}:{(23,1),(24,1),(56,1),(59,1)}
        41:{3,4,6,7}:{(24,1),(25,1),(57,1),(60,1),(62,1),(63,1),(92,1),(100,1),(102,1),(133,1),(134,1)}
        42:{1,5,7}:{(25,1),(61,1),(63,1),(125,1)}
        43:{1,5}:{(26,1),(28,1)}
        44:{3,5,7}:{(26,1),(27,1),(29,1),(64,1),(65,1)}
        45:{2,4,6}:{(27,1),(65,1),(66,1),(105,1)}
        46:{1,4,7}:{(28,1),(29,1),(55,1),(64,1)}
        47:{3,4,6,7}:{(29,1),(30,1),(57,1),(65,1),(67,1),(68,1),(92,1),(100,1),(105,1),(132,1),(136,1)}
        48:{2,5,7}:{(30,1),(66,1),(68,1),(126,1)}
        49:{3,4}:{(31,1),(69,1),(70,1),(107,1),(159,1)}
        50:{1,3,5}:{(31,1),(33,1),(43,1),(69,1),(72,1),(107,1)}
        51:{2,3,5}:{(31,1),(34,1),(37,1),(70,1),(72,1),(107,1)}
        52:{3,5,7}:{(31,1),(32,1),(35,1),(71,1),(75,1),(111,1),(145,1),(160,1)}
        53:{1,2,4,6}:{(32,1),(39,1),(45,1),(75,1),(76,1),(81,1),(85,1),(109,1),(110,1),(112,1),(115,1),(119,1),(121,1),(148,1),(149,1)}
        54:{1,2,6}:{(33,1),(34,1),(72,1),(77,1)}
        55:{1,3,7}:{(33,1),(35,1),(46,1),(77,1)}
        56:{2,3,7}:{(34,1),(35,1),(40,1),(77,1)}
        57:{3,6,7}:{(35,1),(36,1),(75,1),(80,1),(138,1),(145,1)}
        58:{1,2,5,7}:{(36,1),(42,1),(48,1),(76,1),(80,1),(83,1),(87,1),(139,1)}
        59:{2,5,7}:{(37,1),(38,1),(40,1),(81,1)}
        60:{3,6}:{(38,1),(39,1),(81,1)}
        61:{1,5,6}:{(39,1),(42,1),(82,1),(148,1)}
        62:{2,4,6,7}:{(40,1),(41,1),(79,1),(81,1),(83,1),(110,1),(118,1),(119,1)}
        63:{3,5,7}:{(41,1),(42,1),(82,1),(83,1),(84,1),(111,1)}
        64:{1,5,7}:{(43,1),(44,1),(46,1),(85,1)}
        65:{3,6}:{(44,1),(45,1),(85,1)}
        66:{2,5,6}:{(45,1),(48,1),(86,1),(149,1)}
        67:{1,4,6,7}:{(46,1),(47,1),(78,1),(85,1),(87,1),(109,1),(117,1),(121,1)}
        68:{3,5,7}:{(47,1),(48,1),(86,1),(87,1),(88,1),(111,1)}
        69:{1,4}:{(49,1),(50,1)}
        70:{2,4}:{(49,1),(51,1)}
        71:{3,4,7}:{(49,1),(52,1),(90,1),(91,1),(92,1),(100,1),(123,1),(166,1)}
        72:{1,2,5}:{(50,1),(51,1),(54,1),(89,1)}
        73:{1,3,5,7}:{(50,1),(52,1),(55,1),(64,1),(90,1),(93,1),(94,1),(123,1),(125,1),(135,1),(150,1),(157,1),(167,1)}
        74:{2,3,5,7}:{(51,1),(52,1),(56,1),(59,1),(91,1),(93,1),(95,1),(123,1),(126,1),(137,1),(150,1),(158,1),(168,1)}
        75:{3,6}:{(52,1),(53,1)}
        76:{1,2,5,6}:{(53,1),(58,1),(61,1),(66,1),(96,1),(101,1),(104,1),(125,1),(126,1)}
        77:{1,2,7}:{(54,1),(55,1),(56,1)}
        78:{1,3,6,7}:{(55,1),(57,1),(67,1),(94,1),(97,1),(98,1),(136,1)}
        79:{2,3,6,7}:{(56,1),(57,1),(62,1),(95,1),(97,1),(99,1),(134,1)}
        80:{3,5,7}:{(57,1),(58,1),(96,1),(100,1),(150,1)}
        81:{2,6}:{(59,1),(60,1)}
        82:{3,5,6}:{(60,1),(61,1),(63,1),(101,1),(102,1),(134,1)}
        83:{2,5,7}:{(62,1),(63,1),(101,1),(126,1)}
        84:{4,5,7}:{(63,1),(100,1),(102,1),(127,1)}
        85:{1,6}:{(64,1),(65,1)}
        86:{3,5,6}:{(65,1),(66,1),(68,1),(104,1),(105,1),(136,1)}
        87:{1,5,7}:{(67,1),(68,1),(104,1),(125,1)}
        88:{4,5,7}:{(68,1),(100,1),(105,1),(127,1)}
        89:{1,2,4}:{(69,1),(70,1),(72,1),(107,1)}
        90:{1,4,7}:{(69,1),(71,1),(73,1),(109,1),(159,1),(170,1)}
        91:{2,4,7}:{(70,1),(71,1),(74,1),(110,1),(159,1),(171,1)}
        92:{3,4,6}:{(71,1),(75,1),(109,1),(110,1),(111,1),(115,1),(138,1),(159,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(77,1),(108,1),(112,1),(139,1),(165,1),(172,1)}
        94:{1,3,6}:{(73,1),(75,1),(85,1),(109,1),(112,1),(138,1),(148,1)}
        95:{2,3,6}:{(74,1),(75,1),(81,1),(110,1),(112,1),(138,1),(149,1)}
        96:{3,5,6}:{(75,1),(76,1),(80,1),(111,1),(115,1)}
        97:{1,2,6,7}:{(77,1),(78,1),(79,1),(112,1),(116,1),(148,1),(149,1)}
        98:{1,3,5,7}:{(78,1),(80,1),(87,1),(113,1),(116,1),(117,1),(122,1),(145,1)}
        99:{2,3,5,7}:{(79,1),(80,1),(83,1),(114,1),(116,1),(118,1),(120,1),(145,1)}
       100:{4,7}:{(80,1),(115,1),(159,1)}
       101:{2,5,6}:{(81,1),(82,1),(83,1),(119,1)}
       102:{4,6}:{(82,1),(84,1)}
       103:{2,4,5,7}:{(83,1),(84,1),(118,1),(119,1),(120,1),(141,1)}
       104:{1,5,6}:{(85,1),(86,1),(87,1),(121,1)}
       105:{4,6}:{(86,1),(88,1)}
       106:{1,4,5,7}:{(87,1),(88,1),(117,1),(121,1),(122,1),(140,1)}
       107:{3}:{(89,1)}
       108:{1,2,4,7}:{(89,1),(90,1),(91,1),(93,1),(123,1),(124,1),(173,1)}
       109:{1,4,6}:{(90,1),(92,1),(94,1),(125,1)}
       110:{2,4,6}:{(91,1),(92,1),(95,1),(126,1)}
       111:{3,5}:{(92,1),(125,1),(126,1),(127,1)}
       112:{1,2,6}:{(93,1),(94,1),(95,1)}
       113:{1,3,5,6}:{(94,1),(96,1),(98,1),(104,1),(125,1),(128,1),(129,1),(136,1),(150,1),(152,1),(154,1),(167,1)}
       114:{2,3,5,6}:{(95,1),(96,1),(99,1),(101,1),(126,1),(128,1),(130,1),(134,1),(150,1),(153,1),(154,1),(168,1)}
       115:{4,6}:{(96,1),(100,1),(127,1)}
       116:{1,2,5,7}:{(97,1),(98,1),(99,1),(128,1),(131,1),(135,1),(137,1)}
       117:{1,4,7}:{(98,1),(100,1),(129,1),(132,1)}
       118:{2,4,7}:{(99,1),(100,1),(130,1),(133,1)}
       119:{2,4,6}:{(101,1),(102,1),(103,1),(134,1)}
       120:{3,5,7}:{(103,1),(133,1),(134,1),(135,1),(153,1)}
       121:{1,4,6}:{(104,1),(105,1),(106,1),(136,1)}
       122:{3,5,7}:{(106,1),(132,1),(136,1),(137,1),(152,1)}
       123:{3,7}:{(107,1),(108,1),(138,1),(174,1)}
       124:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(138,1),(139,1),(159,1)}
       125:{1,5}:{(109,1),(111,1)}
       126:{2,5}:{(110,1),(111,1)}
       127:{4,5}:{(111,1),(115,1),(159,1)}
       128:{1,2,5,6}:{(112,1),(113,1),(114,1),(116,1),(139,1),(142,1),(148,1),(149,1),(161,1),(162,1),(172,1)}
       129:{1,4,6}:{(113,1),(115,1),(117,1),(140,1),(143,1),(159,1),(170,1)}
       130:{2,4,6}:{(114,1),(115,1),(118,1),(141,1),(144,1),(159,1),(171,1)}
       131:{1,2,4,7}:{(116,1),(117,1),(118,1),(142,1),(145,1),(146,1),(147,1),(165,1)}
       132:{3,4,7}:{(117,1),(122,1),(143,1),(145,1),(146,1)}
       133:{3,4,7}:{(118,1),(120,1),(144,1),(145,1),(147,1)}
       134:{3,6}:{(119,1),(120,1),(148,1)}
       135:{1,5,7}:{(120,1),(147,1),(148,1),(162,1)}
       136:{3,6}:{(121,1),(122,1),(149,1)}
       137:{2,5,7}:{(122,1),(146,1),(149,1),(161,1)}
       138:{3,6}:{(123,1),(124,1),(150,1)}
       139:{1,2,5}:{(124,1),(125,1),(126,1),(150,1)}
       140:{1,4,5}:{(125,1),(127,1),(129,1),(152,1)}
       141:{2,4,5}:{(126,1),(127,1),(130,1),(153,1)}
       142:{1,2,4,6}:{(128,1),(129,1),(130,1),(131,1),(151,1),(154,1),(155,1),(156,1),(169,1),(173,1)}
       143:{3,4,6}:{(129,1),(132,1),(136,1),(152,1),(154,1),(155,1),(166,1)}
       144:{3,4,6}:{(130,1),(133,1),(134,1),(153,1),(154,1),(156,1),(166,1)}
       145:{3,7}:{(131,1),(154,1)}
       146:{2,4,7}:{(132,1),(137,1),(155,1),(158,1)}
       147:{1,4,7}:{(133,1),(135,1),(156,1),(157,1)}
       148:{1,6}:{(134,1),(135,1)}
       149:{2,6}:{(136,1),(137,1)}
       150:{3,5}:{(138,1),(139,1),(159,1)}
       151:{1,2,4,5}:{(139,1),(140,1),(141,1),(142,1),(159,1),(160,1),(161,1),(162,1),(170,1),(171,1),(172,1)}
       152:{3,5}:{(140,1),(143,1),(161,1)}
       153:{3,5}:{(141,1),(144,1),(162,1)}
       154:{3,6}:{(142,1),(145,1),(160,1),(174,1)}
       155:{2,4,6}:{(143,1),(146,1),(149,1),(161,1),(164,1),(171,1)}
       156:{1,4,6}:{(144,1),(147,1),(148,1),(162,1),(163,1),(170,1)}
       157:{1,3,7}:{(145,1),(147,1),(163,1),(165,1)}
       158:{2,3,7}:{(145,1),(146,1),(164,1),(165,1)}
       159:{4}:{(150,1)}
       160:{3,5}:{(151,1),(154,1),(166,1)}
       161:{2,5}:{(152,1),(155,1)}
       162:{1,5}:{(153,1),(156,1)}
       163:{1,3,6}:{(154,1),(156,1),(157,1),(167,1),(169,1)}
       164:{2,3,6}:{(154,1),(155,1),(158,1),(168,1),(169,1)}
       165:{1,2,7}:{(157,1),(158,1),(169,1)}
       166:{3,4}:{(159,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(160,1),(162,1),(163,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(160,1),(161,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(163,1),(164,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

 553 :   0:{1,3,5,7}:{(3,1),(4,1),(5,1),(8,1),(23,1),(27,1),(58,1)}
         1:{2,3,5,7}:{(3,1),(6,1),(7,1),(21,1),(23,1),(30,1),(58,1)}
         2:{1,4,5,7}:{(4,1),(8,1),(9,1),(27,1),(32,1),(60,1),(64,1)}
         3:{1,2,5,7}:{(0,1),(1,1),(11,1),(12,1),(18,1),(36,1),(42,1)}
         4:{1,4,7}:{(0,1),(13,1),(14,1),(73,1),(95,1)}
         5:{1,3,6}:{(0,1),(12,1),(14,1),(19,1),(41,1),(102,1)}
         6:{2,4,7}:{(1,1),(15,1),(16,1),(73,1),(101,1)}
         7:{2,3,6}:{(1,1),(12,1),(16,1),(37,1),(41,1),(103,1)}
         8:{3,5,7}:{(2,1),(13,1),(18,1),(19,1),(44,1)}
         9:{1,4,6}:{(2,1),(19,1),(20,1),(50,1)}
        10:{2,4,5,7}:{(6,1),(21,1),(22,1),(30,1),(52,1),(62,1),(79,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(6,1),(23,1),(24,1),(25,1),(28,1),(55,1)}
        12:{1,2,6}:{(3,1),(5,1),(7,1),(33,1),(53,1),(104,1)}
        13:{3,4,7}:{(4,1),(8,1),(23,1),(25,1),(26,1),(64,1),(86,1)}
        14:{1,4,6}:{(4,1),(5,1),(26,1),(27,1),(87,1),(100,1)}
        15:{3,4,7}:{(6,1),(21,1),(23,1),(28,1),(29,1),(79,1),(96,1)}
        16:{2,4,6}:{(6,1),(7,1),(29,1),(30,1),(97,1),(99,1)}
        17:{1,4,6,7}:{(9,1),(31,1),(32,1),(64,1)}
        18:{2,5,7}:{(8,1),(25,1),(33,1),(59,1)}
        19:{3,6}:{(8,1),(9,1),(33,1)}
        20:{1,5,6}:{(9,1),(27,1),(32,1),(34,1),(87,1)}
        21:{3,5,7}:{(10,1),(15,1),(36,1),(37,1),(46,1)}
        22:{2,4,6}:{(10,1),(37,1),(38,1),(69,1)}
        23:{3,7}:{(11,1),(41,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(14,1),(16,1),(41,1),(42,1),(43,1),(45,1),(70,1),(73,1),(90,1)}
        25:{2,4,7}:{(13,1),(18,1),(40,1),(43,1)}
        26:{3,4,6}:{(13,1),(14,1),(19,1),(41,1),(43,1),(44,1),(50,1),(73,1),(77,1),(92,1)}
        27:{1,5}:{(14,1),(44,1)}
        28:{1,4,7}:{(15,1),(36,1),(39,1),(45,1)}
        29:{3,4,6}:{(15,1),(16,1),(37,1),(41,1),(45,1),(46,1),(69,1),(73,1),(89,1),(91,1)}
        30:{2,5}:{(16,1),(46,1)}
        31:{3,6,7}:{(17,1),(19,1),(47,1),(48,1)}
        32:{1,5,7}:{(17,1),(20,1),(48,1),(95,1)}
        33:{2,6}:{(18,1),(19,1)}
        34:{3,5,6}:{(19,1),(20,1),(44,1),(48,1),(49,1),(50,1),(77,1)}
        35:{2,4,6,7}:{(22,1),(51,1),(52,1),(79,1)}
        36:{1,5,7}:{(21,1),(28,1),(53,1),(61,1)}
        37:{3,6}:{(21,1),(22,1),(53,1)}
        38:{2,5,6}:{(22,1),(30,1),(52,1),(54,1),(97,1)}
        39:{1,3,7}:{(23,1),(28,1),(55,1),(56,1),(96,1)}
        40:{2,3,7}:{(23,1),(25,1),(55,1),(57,1),(86,1)}
        41:{3,6}:{(23,1),(24,1),(58,1),(98,1)}
        42:{1,2,5}:{(24,1),(27,1),(30,1),(58,1),(59,1),(61,1)}
        43:{2,4,6}:{(25,1),(26,1),(33,1),(57,1),(59,1),(83,1)}
        44:{3,5}:{(26,1),(27,1),(59,1),(60,1)}
        45:{1,4,6}:{(28,1),(29,1),(53,1),(56,1),(61,1),(82,1)}
        46:{3,5}:{(29,1),(30,1),(61,1),(62,1)}
        47:{2,6,7}:{(31,1),(33,1),(63,1)}
        48:{3,5,7}:{(31,1),(32,1),(34,1),(63,1),(64,1),(86,1)}
        49:{2,5,6}:{(33,1),(34,1),(59,1),(63,1),(65,1)}
        50:{4,6}:{(34,1),(60,1),(64,1)}
        51:{3,6,7}:{(35,1),(37,1),(66,1),(67,1)}
        52:{2,5,7}:{(35,1),(38,1),(67,1),(101,1)}
        53:{1,6}:{(36,1),(37,1)}
        54:{3,5,6}:{(37,1),(38,1),(46,1),(67,1),(68,1),(69,1),(89,1)}
        55:{1,2,7}:{(39,1),(40,1),(70,1),(95,1),(101,1)}
        56:{1,3,6}:{(39,1),(41,1),(45,1),(70,1),(71,1),(89,1)}
        57:{2,3,6}:{(40,1),(41,1),(43,1),(70,1),(72,1),(77,1)}
        58:{3,5}:{(41,1),(42,1),(73,1)}
        59:{2,5}:{(43,1),(44,1)}
        60:{4,5}:{(44,1),(50,1),(73,1)}
        61:{1,5}:{(45,1),(46,1)}
        62:{4,5}:{(46,1),(69,1),(73,1)}
        63:{2,5,7}:{(47,1),(48,1),(49,1),(76,1)}
        64:{4,7}:{(48,1),(50,1)}
        65:{2,4,6}:{(49,1),(50,1),(74,1),(76,1),(77,1)}
        66:{1,6,7}:{(51,1),(53,1),(78,1)}
        67:{3,5,7}:{(51,1),(52,1),(54,1),(78,1),(79,1),(96,1)}
        68:{1,5,6}:{(53,1),(54,1),(61,1),(78,1),(80,1)}
        69:{4,6}:{(54,1),(62,1),(79,1)}
        70:{1,2,6}:{(55,1),(56,1),(57,1),(81,1),(87,1),(97,1)}
        71:{1,3,5}:{(56,1),(58,1),(61,1),(81,1),(82,1),(85,1),(98,1)}
        72:{2,3,5}:{(57,1),(58,1),(59,1),(81,1),(83,1),(84,1),(98,1)}
        73:{4}:{(58,1)}
        74:{2,4,5}:{(59,1),(60,1),(65,1),(83,1),(84,1)}
        75:{1,4,5}:{(61,1),(62,1),(80,1),(82,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(65,1),(86,1)}
        77:{3,6}:{(65,1),(84,1),(86,1),(87,1)}
        78:{1,5,7}:{(66,1),(67,1),(68,1),(88,1)}
        79:{4,7}:{(67,1),(69,1)}
        80:{1,4,6}:{(68,1),(69,1),(75,1),(88,1),(89,1)}
        81:{1,2,5}:{(70,1),(71,1),(72,1),(90,1),(93,1),(94,1)}
        82:{1,4}:{(71,1),(73,1),(91,1)}
        83:{2,4}:{(72,1),(73,1),(92,1)}
        84:{3,5}:{(74,1),(77,1),(92,1),(93,1)}
        85:{3,5}:{(75,1),(89,1),(91,1),(94,1)}
        86:{3,7}:{(76,1),(77,1),(95,1)}
        87:{1,6}:{(77,1),(93,1),(95,1)}
        88:{1,4,7}:{(78,1),(79,1),(80,1),(96,1)}
        89:{3,6}:{(80,1),(85,1),(96,1),(97,1)}
        90:{1,2,4}:{(81,1),(82,1),(83,1),(98,1),(99,1),(100,1),(104,1)}
        91:{3,4}:{(82,1),(85,1),(98,1),(99,1)}
        92:{3,4}:{(83,1),(84,1),(98,1),(100,1)}
        93:{1,5}:{(84,1),(87,1),(100,1)}
        94:{2,5}:{(85,1),(97,1),(99,1)}
        95:{1,7}:{(86,1),(87,1)}
        96:{3,7}:{(88,1),(89,1),(101,1)}
        97:{2,6}:{(89,1),(94,1),(101,1)}
        98:{3}:{(90,1)}
        99:{2,4}:{(91,1),(94,1),(103,1)}
       100:{1,4}:{(92,1),(93,1),(102,1)}
       101:{2,7}:{(96,1),(97,1)}
       102:{1,3}:{(98,1),(100,1),(104,1)}
       103:{2,3}:{(98,1),(99,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

 554 :   0:{1,2,4,5,6}:{(1,1),(2,1),(9,1),(10,1),(12,1),(32,1),(73,1),(74,1),(75,1),(76,1),(102,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(51,1),(88,1),(100,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(24,1),(26,1),(62,1),(63,1),(64,1)}
         3:{3,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(40,1),(71,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(12,1),(13,1),(30,1),(40,1),(67,1),(68,1),(74,1),(94,1),(96,1),(103,1)}
         5:{2,3,5,6}:{(1,1),(10,1),(12,1),(14,1),(31,1),(40,1),(65,1),(70,1),(75,1),(92,1),(96,1),(102,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(15,1)}
         7:{1,2,4,6,7}:{(2,1),(15,1),(16,1),(42,1),(43,1),(45,1),(46,1),(73,1)}
         8:{3,4,5}:{(3,1),(17,1),(18,1),(51,1),(100,1)}
         9:{1,4,6}:{(3,1),(4,1),(17,1),(23,1),(84,1),(101,1)}
        10:{2,4,6}:{(3,1),(5,1),(18,1),(24,1),(81,1),(101,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(24,1),(60,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(22,1),(26,1),(47,1),(49,1),(83,1),(86,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(23,1),(26,1),(27,1),(60,1),(62,1),(90,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(24,1),(26,1),(28,1),(60,1),(63,1),(90,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,2,5,6,7}:{(7,1),(29,1),(62,1),(63,1),(89,1)}
        17:{1,4,5}:{(8,1),(9,1),(30,1),(103,1),(104,1)}
        18:{2,4,5}:{(8,1),(10,1),(31,1),(102,1),(104,1)}
        19:{3,4,5,7}:{(8,1),(11,1),(33,1),(34,1),(35,1),(44,1),(72,1),(97,1),(104,1)}
        20:{1,3,4,6}:{(9,1),(30,1),(36,1),(37,1),(40,1),(67,1),(71,1),(95,1)}
        21:{2,3,4,6}:{(10,1),(31,1),(38,1),(39,1),(40,1),(70,1),(71,1),(95,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(12,1),(32,1),(40,1),(41,1)}
        23:{1,4,7}:{(9,1),(11,1),(13,1),(97,1)}
        24:{2,4,7}:{(10,1),(11,1),(14,1),(97,1)}
        25:{3,4,6,7}:{(11,1),(15,1),(35,1),(42,1),(43,1),(44,1),(46,1),(79,1),(95,1),(97,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(14,1),(41,1),(45,1)}
        27:{1,3,6,7}:{(13,1),(15,1),(42,1),(45,1),(67,1),(79,1),(94,1)}
        28:{2,3,6,7}:{(14,1),(15,1),(43,1),(45,1),(70,1),(79,1),(92,1)}
        29:{3,5,6,7}:{(15,1),(16,1),(44,1),(46,1),(96,1)}
        30:{1,3,5}:{(17,1),(20,1),(47,1),(51,1),(100,1)}
        31:{2,3,5}:{(18,1),(21,1),(49,1),(51,1),(100,1)}
        32:{1,2,4,5}:{(17,1),(18,1),(22,1),(47,1),(49,1),(51,1),(81,1),(84,1)}
        33:{1,4,5,7}:{(17,1),(19,1),(23,1),(48,1),(53,1),(62,1)}
        34:{2,4,5,7}:{(18,1),(19,1),(24,1),(50,1),(54,1),(63,1)}
        35:{3,4,6}:{(19,1),(53,1),(54,1),(55,1),(88,1),(101,1)}
        36:{1,2,4,6}:{(20,1),(47,1),(56,1),(57,1),(81,1),(83,1),(98,1)}
        37:{1,3,4,7}:{(20,1),(23,1),(48,1),(57,1),(60,1),(87,1)}
        38:{1,2,4,6}:{(21,1),(49,1),(58,1),(59,1),(84,1),(86,1),(99,1)}
        39:{2,3,4,7}:{(21,1),(24,1),(50,1),(59,1),(60,1),(87,1)}
        40:{3,6}:{(22,1),(51,1),(60,1)}
        41:{1,2,4,7}:{(22,1),(23,1),(24,1),(26,1),(60,1)}
        42:{1,4,6,7}:{(23,1),(25,1),(27,1),(53,1),(62,1),(99,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(28,1),(54,1),(63,1),(98,1)}
        44:{3,5,7}:{(25,1),(55,1),(62,1),(63,1),(64,1),(100,1)}
        45:{1,2,6,7}:{(26,1),(27,1),(28,1),(83,1),(86,1)}
        46:{4,6,7}:{(29,1),(64,1),(101,1)}
        47:{1,2,5}:{(30,1),(36,1),(65,1),(102,1)}
        48:{1,3,5,7}:{(30,1),(33,1),(37,1),(66,1),(67,1),(72,1)}
        49:{1,2,5}:{(31,1),(38,1),(68,1),(103,1)}
        50:{2,3,5,7}:{(31,1),(34,1),(39,1),(69,1),(70,1),(72,1)}
        51:{3,5}:{(32,1),(40,1),(71,1)}
        52:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(41,1),(66,1),(69,1),(72,1),(73,1),(80,1),(91,1),(93,1),(97,1),(102,1),(103,1),(104,1)}
        53:{1,4,6}:{(33,1),(35,1),(67,1),(74,1)}
        54:{2,4,6}:{(34,1),(35,1),(70,1),(75,1)}
        55:{3,5,6}:{(35,1),(44,1),(74,1),(75,1),(76,1)}
        56:{2,3,6}:{(36,1),(40,1),(65,1),(77,1)}
        57:{1,2,4,7}:{(36,1),(37,1),(66,1),(77,1),(91,1)}
        58:{1,3,6}:{(38,1),(40,1),(68,1),(78,1)}
        59:{1,2,4,7}:{(38,1),(39,1),(69,1),(78,1),(93,1)}
        60:{3,7}:{(40,1),(41,1)}
        61:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(45,1),(73,1),(79,1),(80,1),(97,1)}
        62:{1,5,7}:{(42,1),(44,1),(74,1),(103,1)}
        63:{2,5,7}:{(43,1),(44,1),(75,1),(102,1)}
        64:{4,5,7}:{(44,1),(46,1),(76,1),(97,1),(104,1)}
        65:{2,3,5}:{(47,1),(51,1),(56,1),(81,1)}
        66:{1,2,5,7}:{(47,1),(48,1),(57,1),(82,1),(83,1)}
        67:{1,3,6}:{(48,1),(53,1),(83,1),(88,1)}
        68:{1,3,5}:{(49,1),(51,1),(58,1),(84,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(59,1),(85,1),(86,1)}
        70:{2,3,6}:{(50,1),(54,1),(86,1),(88,1)}
        71:{3,4}:{(51,1),(81,1),(84,1)}
        72:{3,5,7}:{(51,1),(52,1),(60,1),(87,1),(88,1),(100,1)}
        73:{1,2,4,6}:{(52,1),(53,1),(54,1),(83,1),(86,1),(88,1),(89,1),(98,1),(99,1),(101,1)}
        74:{1,5,6}:{(53,1),(55,1),(62,1)}
        75:{2,5,6}:{(54,1),(55,1),(63,1)}
        76:{4,5,6}:{(55,1),(64,1),(101,1)}
        77:{2,3,7}:{(56,1),(57,1),(60,1)}
        78:{1,3,7}:{(58,1),(59,1),(60,1)}
        79:{3,6,7}:{(60,1),(61,1),(88,1),(90,1)}
        80:{1,2,5,7}:{(61,1),(62,1),(63,1),(89,1),(90,1)}
        81:{2,4}:{(65,1),(71,1)}
        82:{2,3,5,7}:{(65,1),(66,1),(72,1),(77,1),(91,1),(92,1),(102,1)}
        83:{1,2,6}:{(66,1),(67,1),(92,1)}
        84:{1,4}:{(68,1),(71,1)}
        85:{1,3,5,7}:{(68,1),(69,1),(72,1),(78,1),(93,1),(94,1),(103,1)}
        86:{1,2,6}:{(69,1),(70,1),(94,1)}
        87:{3,4,7}:{(71,1),(72,1),(91,1),(93,1),(95,1),(97,1)}
        88:{3,6}:{(72,1),(73,1)}
        89:{1,2,5,6}:{(73,1),(74,1),(75,1),(80,1),(96,1),(102,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{2,4,7}:{(81,1),(82,1),(87,1),(98,1)}
        92:{2,3,6}:{(82,1),(83,1),(88,1),(98,1)}
        93:{1,4,7}:{(84,1),(85,1),(87,1),(99,1)}
        94:{1,3,6}:{(85,1),(86,1),(88,1),(99,1)}
        95:{3,4,6}:{(87,1),(88,1),(98,1),(99,1),(100,1),(101,1)}
        96:{3,5,6}:{(88,1),(89,1),(90,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{2,4,6}:{(91,1),(92,1),(95,1),(102,1)}
        99:{1,4,6}:{(93,1),(94,1),(95,1),(103,1)}
       100:{3,5}:{(95,1),(102,1),(103,1),(104,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{2,5}:{(98,1),(100,1)}
       103:{1,5}:{(99,1),(100,1)}
       104:{4,5}:{(100,1),(101,1)}

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

 556 :   0:{1,3,6,7}:{(2,1),(4,1),(5,1),(20,1),(76,1),(118,1),(145,1)}
         1:{1,3,5,6}:{(3,1),(5,1),(6,1),(24,1),(27,1),(29,1),(63,1),(68,1),(76,1),(118,1),(151,1),(168,1)}
         2:{1,2,6,7}:{(0,1),(7,1),(10,1),(101,1),(125,1),(139,1),(159,1)}
         3:{1,2,5,6}:{(1,1),(8,1),(10,1),(11,1),(51,1),(83,1),(97,1),(101,1),(125,1),(139,1),(162,1)}
         4:{1,4,6,7}:{(0,1),(12,1),(13,1),(15,1),(49,1),(133,1),(135,1),(140,1)}
         5:{1,3,5,7}:{(0,1),(1,1),(10,1),(13,1),(15,1),(39,1),(43,1),(50,1)}
         6:{1,4,6}:{(1,1),(14,1),(15,1),(16,1),(90,1),(92,1),(172,1)}
         7:{2,3,6,7}:{(2,1),(17,1),(18,1),(20,1),(105,1),(119,1),(146,1)}
         8:{2,3,5,6}:{(3,1),(18,1),(19,1),(24,1),(55,1),(57,1),(63,1),(69,1),(105,1),(119,1),(152,1),(168,1)}
         9:{1,2,4,6,7}:{(2,1),(4,1),(17,1),(20,1),(21,1),(23,1),(25,1),(53,1),(60,1),(64,1),(66,1),(108,1),(153,1)}
        10:{1,2,5,7}:{(2,1),(3,1),(5,1),(18,1),(23,1),(77,1),(106,1)}
        11:{1,2,4,6}:{(3,1),(6,1),(19,1),(22,1),(23,1),(24,1),(31,1),(59,1),(72,1),(117,1)}
        12:{3,4,6,7}:{(4,1),(20,1),(25,1),(26,1),(30,1),(64,1),(75,1),(76,1),(112,1),(114,1),(121,1)}
        13:{1,5,7}:{(4,1),(26,1),(27,1),(151,1)}
        14:{1,4,5}:{(6,1),(29,1),(113,1),(151,1)}
        15:{1,4,7}:{(5,1),(6,1),(30,1),(64,1)}
        16:{3,4,6}:{(6,1),(24,1),(29,1),(30,1),(31,1),(65,1),(76,1)}
        17:{2,4,6,7}:{(7,1),(32,1),(33,1),(35,1),(81,1),(130,1),(136,1),(155,1)}
        18:{2,3,5,7}:{(7,1),(8,1),(10,1),(33,1),(35,1),(39,1),(43,1),(82,1)}
        19:{2,4,6}:{(8,1),(34,1),(35,1),(36,1),(90,1),(93,1),(172,1)}
        20:{3,6,7}:{(9,1),(39,1),(43,1),(94,1),(127,1),(163,1)}
        21:{1,2,5,7}:{(9,1),(13,1),(33,1),(39,1),(40,1),(46,1),(78,1),(162,1)}
        22:{1,2,4,5}:{(11,1),(14,1),(34,1),(42,1),(51,1),(83,1),(92,1),(93,1),(97,1),(162,1),(172,1)}
        23:{1,2,4,7}:{(10,1),(11,1),(15,1),(35,1),(43,1),(52,1),(84,1),(98,1)}
        24:{3,6}:{(11,1),(42,1),(43,1),(138,1)}
        25:{2,4,6,7}:{(12,1),(38,1),(46,1),(52,1),(89,1),(99,1),(101,1),(136,1)}
        26:{3,5,7}:{(12,1),(13,1),(46,1),(47,1),(48,1),(134,1)}
        27:{1,5,6}:{(13,1),(47,1),(49,1),(140,1)}
        28:{1,4,5,7}:{(13,1),(14,1),(15,1),(48,1),(49,1),(50,1)}
        29:{3,5}:{(14,1),(16,1),(51,1)}
        30:{3,4,7}:{(15,1),(16,1),(43,1),(50,1),(52,1)}
        31:{2,4,6}:{(16,1),(45,1),(51,1),(52,1),(93,1),(101,1)}
        32:{3,4,6,7}:{(17,1),(20,1),(53,1),(54,1),(58,1),(64,1),(104,1),(105,1),(110,1),(114,1),(141,1)}
        33:{2,5,7}:{(17,1),(54,1),(55,1),(152,1)}
        34:{2,4,5}:{(19,1),(57,1),(113,1),(152,1)}
        35:{2,4,7}:{(18,1),(19,1),(58,1),(64,1)}
        36:{3,4,6}:{(19,1),(24,1),(57,1),(58,1),(59,1),(65,1),(105,1)}
        37:{1,3,6,7}:{(20,1),(53,1),(60,1),(61,1),(70,1),(118,1),(141,1)}
        38:{2,3,6,7}:{(20,1),(25,1),(60,1),(62,1),(71,1),(119,1),(121,1)}
        39:{3,5,7}:{(20,1),(21,1),(63,1),(64,1),(168,1)}
        40:{1,2,5,6}:{(21,1),(27,1),(55,1),(63,1),(66,1),(73,1),(102,1),(151,1),(152,1)}
        41:{1,2,4,5,7}:{(21,1),(22,1),(23,1),(28,1),(56,1),(64,1),(66,1),(67,1),(74,1),(77,1),(103,1),(106,1),(108,1),(113,1),(115,1),(116,1),(120,1),(122,1),(142,1),(143,1),(151,1),(152,1)}
        42:{3,5}:{(22,1),(24,1),(65,1)}
        43:{3,7}:{(23,1),(24,1)}
        44:{1,3,6}:{(24,1),(59,1),(68,1),(70,1),(72,1)}
        45:{2,3,6}:{(24,1),(31,1),(69,1),(71,1),(72,1)}
        46:{2,5,7}:{(25,1),(26,1),(73,1),(152,1)}
        47:{3,5,6}:{(26,1),(27,1),(73,1),(75,1),(76,1),(121,1)}
        48:{4,5,7}:{(26,1),(64,1),(75,1),(113,1)}
        49:{1,4,6}:{(27,1),(28,1),(75,1),(76,1)}
        50:{3,5,7}:{(28,1),(29,1),(30,1),(76,1),(77,1)}
        51:{2,5}:{(29,1),(31,1)}
        52:{2,4,7}:{(30,1),(31,1),(71,1),(77,1)}
        53:{1,4,6,7}:{(32,1),(37,1),(78,1),(84,1),(87,1),(123,1),(125,1),(135,1)}
        54:{3,5,7}:{(32,1),(33,1),(78,1),(79,1),(80,1),(134,1)}
        55:{2,5,6}:{(33,1),(79,1),(81,1),(155,1)}
        56:{2,4,5,7}:{(33,1),(34,1),(35,1),(80,1),(81,1),(82,1)}
        57:{3,5}:{(34,1),(36,1),(83,1)}
        58:{3,4,7}:{(35,1),(36,1),(43,1),(82,1),(84,1)}
        59:{1,4,6}:{(36,1),(44,1),(83,1),(84,1),(92,1),(125,1)}
        60:{1,2,6,7}:{(37,1),(38,1),(85,1),(98,1),(139,1),(140,1),(155,1)}
        61:{1,3,5,7}:{(37,1),(39,1),(78,1),(85,1),(86,1),(87,1),(124,1),(127,1)}
        62:{2,3,5,7}:{(38,1),(39,1),(46,1),(85,1),(88,1),(89,1),(100,1),(127,1)}
        63:{3,5,6}:{(39,1),(40,1),(90,1),(94,1),(134,1)}
        64:{4,7}:{(39,1),(90,1),(172,1)}
        65:{3,4}:{(42,1),(92,1),(93,1),(138,1),(172,1)}
        66:{1,2,4,6}:{(40,1),(41,1),(49,1),(81,1),(90,1),(94,1),(99,1),(101,1),(123,1),(125,1),(135,1),(136,1),(139,1),(140,1),(155,1)}
        67:{3,5,7}:{(41,1),(42,1),(43,1),(91,1),(94,1),(127,1),(134,1),(156,1)}
        68:{1,3,5}:{(42,1),(44,1),(83,1),(92,1),(97,1),(138,1)}
        69:{2,3,5}:{(42,1),(45,1),(51,1),(93,1),(97,1),(138,1)}
        70:{1,3,7}:{(43,1),(44,1),(84,1),(98,1)}
        71:{2,3,7}:{(43,1),(45,1),(52,1),(98,1)}
        72:{1,2,6}:{(44,1),(45,1),(97,1),(98,1)}
        73:{2,5,6}:{(46,1),(47,1),(99,1),(101,1)}
        74:{2,4,5,7}:{(46,1),(48,1),(89,1),(99,1),(100,1),(131,1)}
        75:{4,6}:{(47,1),(48,1)}
        76:{3,6}:{(49,1),(50,1),(101,1)}
        77:{2,5,7}:{(50,1),(51,1),(52,1),(101,1)}
        78:{1,5,7}:{(53,1),(54,1),(102,1),(151,1)}
        79:{3,5,6}:{(54,1),(55,1),(102,1),(104,1),(105,1),(141,1)}
        80:{4,5,7}:{(54,1),(64,1),(104,1),(113,1)}
        81:{2,4,6}:{(55,1),(56,1),(104,1),(105,1)}
        82:{3,5,7}:{(56,1),(57,1),(58,1),(105,1),(106,1)}
        83:{1,5}:{(57,1),(59,1)}
        84:{1,4,7}:{(58,1),(59,1),(70,1),(106,1)}
        85:{1,2,5,7}:{(60,1),(61,1),(62,1),(107,1),(108,1),(122,1),(142,1)}
        86:{1,3,5,6}:{(61,1),(63,1),(102,1),(107,1),(109,1),(118,1),(141,1),(144,1),(147,1),(151,1),(165,1),(168,1)}
        87:{1,4,7}:{(61,1),(64,1),(109,1),(110,1)}
        88:{2,3,5,6}:{(62,1),(63,1),(73,1),(107,1),(111,1),(119,1),(121,1),(144,1),(149,1),(152,1),(166,1),(168,1)}
        89:{2,4,7}:{(62,1),(64,1),(111,1),(112,1)}
        90:{4,6}:{(63,1),(64,1),(113,1)}
        91:{3,4,7}:{(64,1),(65,1),(67,1),(114,1),(115,1),(116,1),(154,1),(164,1)}
        92:{1,4}:{(65,1),(68,1)}
        93:{2,4}:{(65,1),(69,1)}
        94:{3,6}:{(66,1),(67,1)}
        95:{1,3,5,7}:{(67,1),(68,1),(70,1),(106,1),(115,1),(118,1),(120,1),(122,1),(145,1),(151,1),(154,1),(165,1),(168,1)}
        96:{2,3,5,7}:{(67,1),(69,1),(71,1),(77,1),(116,1),(119,1),(120,1),(142,1),(146,1),(152,1),(154,1),(166,1),(168,1)}
        97:{1,2,5}:{(68,1),(69,1),(72,1),(117,1)}
        98:{1,2,7}:{(70,1),(71,1),(72,1)}
        99:{2,4,6}:{(73,1),(74,1),(75,1),(121,1)}
       100:{3,5,7}:{(74,1),(112,1),(121,1),(122,1),(149,1)}
       101:{2,6}:{(76,1),(77,1)}
       102:{1,5,6}:{(78,1),(79,1),(123,1),(125,1)}
       103:{1,4,5,7}:{(78,1),(80,1),(87,1),(123,1),(124,1),(128,1)}
       104:{4,6}:{(79,1),(80,1)}
       105:{3,6}:{(81,1),(82,1),(125,1)}
       106:{1,5,7}:{(82,1),(83,1),(84,1),(125,1)}
       107:{1,2,5,6}:{(85,1),(86,1),(88,1),(126,1),(139,1),(140,1),(155,1),(160,1),(161,1),(162,1),(171,1)}
       108:{1,2,4,7}:{(85,1),(87,1),(89,1),(126,1),(127,1),(130,1),(133,1),(159,1)}
       109:{1,4,6}:{(86,1),(87,1),(90,1),(128,1),(129,1),(169,1),(172,1)}
       110:{3,4,7}:{(87,1),(124,1),(127,1),(129,1),(130,1)}
       111:{2,4,6}:{(88,1),(89,1),(90,1),(131,1),(132,1),(170,1),(172,1)}
       112:{3,4,7}:{(89,1),(100,1),(127,1),(132,1),(133,1)}
       113:{4,5}:{(90,1),(134,1),(172,1)}
       114:{3,4,6}:{(90,1),(91,1),(94,1),(134,1),(135,1),(136,1),(163,1),(172,1)}
       115:{1,4,7}:{(91,1),(92,1),(95,1),(135,1),(169,1),(172,1)}
       116:{2,4,7}:{(91,1),(93,1),(96,1),(136,1),(170,1),(172,1)}
       117:{1,2,4}:{(92,1),(93,1),(97,1),(138,1)}
       118:{1,3,6}:{(94,1),(95,1),(125,1),(135,1),(139,1),(140,1),(163,1)}
       119:{2,3,6}:{(94,1),(96,1),(101,1),(136,1),(139,1),(155,1),(163,1)}
       120:{1,2,5,7}:{(95,1),(96,1),(97,1),(98,1),(137,1),(139,1),(159,1),(162,1),(171,1)}
       121:{3,6}:{(99,1),(100,1),(140,1)}
       122:{1,5,7}:{(100,1),(133,1),(140,1),(161,1)}
       123:{1,4,6}:{(102,1),(103,1),(104,1),(141,1)}
       124:{3,5,7}:{(103,1),(110,1),(141,1),(142,1),(147,1)}
       125:{1,6}:{(105,1),(106,1)}
       126:{1,2,4,6}:{(107,1),(108,1),(109,1),(111,1),(143,1),(144,1),(148,1),(150,1),(167,1),(173,1)}
       127:{3,7}:{(108,1),(144,1)}
       128:{1,4,5}:{(109,1),(113,1),(147,1),(151,1)}
       129:{3,4,6}:{(109,1),(110,1),(141,1),(144,1),(147,1),(148,1),(164,1)}
       130:{2,4,7}:{(110,1),(142,1),(146,1),(148,1)}
       131:{2,4,5}:{(111,1),(113,1),(149,1),(152,1)}
       132:{3,4,6}:{(111,1),(112,1),(121,1),(144,1),(149,1),(150,1),(164,1)}
       133:{1,4,7}:{(112,1),(122,1),(145,1),(150,1)}
       134:{3,5}:{(113,1),(114,1),(151,1),(152,1)}
       135:{1,4,6}:{(114,1),(115,1),(118,1),(151,1)}
       136:{2,4,6}:{(114,1),(116,1),(119,1),(152,1)}
       137:{1,2,4,7}:{(115,1),(116,1),(117,1),(120,1),(153,1),(154,1),(173,1)}
       138:{3}:{(117,1)}
       139:{1,2,6}:{(118,1),(119,1),(120,1)}
       140:{1,6}:{(121,1),(122,1)}
       141:{3,6}:{(123,1),(124,1),(155,1)}
       142:{2,5,7}:{(124,1),(130,1),(155,1),(160,1)}
       143:{1,2,4,5}:{(126,1),(128,1),(131,1),(156,1),(160,1),(161,1),(162,1),(169,1),(170,1),(171,1),(172,1)}
       144:{3,6}:{(126,1),(127,1),(156,1),(174,1)}
       145:{1,3,7}:{(127,1),(133,1),(157,1),(159,1)}
       146:{2,3,7}:{(127,1),(130,1),(158,1),(159,1)}
       147:{3,5}:{(128,1),(129,1),(160,1)}
       148:{2,4,6}:{(129,1),(130,1),(155,1),(158,1),(160,1),(170,1)}
       149:{3,5}:{(131,1),(132,1),(161,1)}
       150:{1,4,6}:{(132,1),(133,1),(140,1),(157,1),(161,1),(169,1)}
       151:{1,5}:{(134,1),(135,1)}
       152:{2,5}:{(134,1),(136,1)}
       153:{1,2,4,6}:{(135,1),(136,1),(137,1),(139,1),(162,1),(163,1),(172,1)}
       154:{3,7}:{(137,1),(138,1),(163,1),(174,1)}
       155:{2,6}:{(141,1),(142,1)}
       156:{3,5}:{(143,1),(144,1),(164,1)}
       157:{1,3,6}:{(144,1),(145,1),(150,1),(165,1),(167,1)}
       158:{2,3,6}:{(144,1),(146,1),(148,1),(166,1),(167,1)}
       159:{1,2,7}:{(145,1),(146,1),(167,1)}
       160:{2,5}:{(147,1),(148,1)}
       161:{1,5}:{(149,1),(150,1)}
       162:{1,2,5}:{(151,1),(152,1),(153,1),(168,1)}
       163:{3,6}:{(153,1),(154,1),(168,1)}
       164:{3,4}:{(156,1),(169,1),(170,1),(172,1),(174,1)}
       165:{1,3,5}:{(156,1),(157,1),(161,1),(169,1),(171,1),(174,1)}
       166:{2,3,5}:{(156,1),(158,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,2,6}:{(157,1),(158,1),(159,1),(171,1)}
       168:{3,5}:{(162,1),(163,1),(172,1)}
       169:{1,4}:{(164,1),(165,1)}
       170:{2,4}:{(164,1),(166,1)}
       171:{1,2,5}:{(165,1),(166,1),(167,1),(173,1)}
       172:{4}:{(168,1)}
       173:{1,2,4}:{(169,1),(170,1),(171,1),(174,1)}
       174:{3}:{(173,1)}

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

 558 :   0:{1,4,5,6}:{(2,1),(3,1),(14,1),(37,1),(91,1)}
         1:{1,5,6,7}:{(4,1),(6,1),(70,1),(74,1)}
         2:{1,4,5,7}:{(0,1),(6,1),(7,1),(26,1),(28,1),(74,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(9,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(12,1),(16,1),(45,1),(48,1)}
         5:{3,4,6}:{(3,1),(10,1),(13,1),(14,1),(15,1),(52,1)}
         6:{1,4,6,7}:{(1,1),(2,1),(12,1),(16,1)}
         7:{3,5,7}:{(2,1),(3,1),(13,1),(16,1),(18,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(35,1),(52,1),(84,1),(91,1),(146,1)}
         9:{2,5,6}:{(3,1),(15,1),(18,1)}
        10:{3,4,5}:{(5,1),(21,1),(22,1),(66,1)}
        11:{2,5,6,7}:{(4,1),(24,1),(32,1),(75,1)}
        12:{4,6,7}:{(4,1),(26,1)}
        13:{3,4,7}:{(5,1),(7,1),(28,1),(29,1),(77,1)}
        14:{1,4,6}:{(5,1),(8,1),(21,1),(28,1),(166,1)}
        15:{2,4,6}:{(5,1),(9,1),(22,1),(25,1),(29,1)}
        16:{3,6,7}:{(6,1),(7,1),(32,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(28,1),(31,1),(33,1),(74,1),(77,1),(130,1)}
        18:{2,5,7}:{(7,1),(9,1),(29,1),(32,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(30,1),(33,1),(34,1),(58,1),(112,1),(129,1),(172,1)}
        20:{3,4,5,7}:{(10,1),(13,1),(38,1),(39,1),(40,1),(48,1),(94,1),(97,1),(135,1),(153,1),(183,1)}
        21:{1,4,5}:{(10,1),(14,1),(35,1),(183,1)}
        22:{2,4,5}:{(10,1),(15,1),(36,1)}
        23:{1,3,4,6}:{(14,1),(35,1),(42,1),(43,1),(52,1),(84,1),(95,1),(102,1),(147,1)}
        24:{2,4,6,7}:{(11,1),(12,1),(44,1),(45,1)}
        25:{2,3,6}:{(15,1),(36,1),(46,1),(47,1),(52,1)}
        26:{4,5,7}:{(12,1),(37,1),(48,1),(153,1)}
        27:{3,4,6,7}:{(12,1),(13,1),(16,1),(38,1),(45,1),(48,1),(49,1),(50,1),(97,1),(104,1),(153,1)}
        28:{1,4,7}:{(13,1),(14,1),(17,1),(153,1)}
        29:{2,4,7}:{(13,1),(15,1),(18,1),(46,1)}
        30:{1,2,4,6}:{(14,1),(15,1),(19,1),(41,1),(47,1),(51,1),(52,1),(55,1),(102,1)}
        31:{1,3,6,7}:{(16,1),(17,1),(49,1),(53,1),(84,1),(104,1),(148,1)}
        32:{2,6,7}:{(16,1),(18,1)}
        33:{1,2,5,7}:{(17,1),(18,1),(19,1),(51,1),(53,1),(54,1),(152,1)}
        34:{2,3,5,6}:{(19,1),(52,1),(54,1),(55,1),(86,1),(106,1),(139,1),(146,1),(155,1),(156,1),(178,1)}
        35:{1,3,5}:{(21,1),(23,1),(58,1),(66,1),(129,1),(167,1)}
        36:{2,3,5}:{(22,1),(25,1),(56,1),(61,1),(66,1)}
        37:{4,5,6}:{(26,1),(62,1),(166,1)}
        38:{3,4,6}:{(20,1),(62,1),(63,1),(64,1),(122,1),(166,1)}
        39:{1,4,5,7}:{(20,1),(21,1),(28,1),(57,1),(63,1),(74,1),(124,1),(157,1)}
        40:{2,4,5,7}:{(20,1),(22,1),(29,1),(60,1),(64,1),(75,1),(125,1),(158,1)}
        41:{1,2,4,5}:{(21,1),(22,1),(30,1),(58,1),(61,1),(66,1),(81,1),(114,1),(120,1),(129,1)}
        42:{1,3,4,7}:{(23,1),(28,1),(57,1),(67,1),(77,1),(123,1),(128,1),(189,1)}
        43:{1,2,4,6}:{(23,1),(58,1),(67,1),(68,1),(112,1),(114,1),(161,1)}
        44:{2,4,5,7}:{(24,1),(26,1),(59,1),(69,1),(75,1),(125,1)}
        45:{3,6,7}:{(24,1),(69,1),(70,1)}
        46:{2,3,7}:{(25,1),(29,1),(72,1),(77,1)}
        47:{1,2,6}:{(25,1),(61,1),(72,1),(73,1)}
        48:{3,5,7}:{(26,1),(27,1),(62,1),(74,1),(75,1)}
        49:{1,4,6,7}:{(27,1),(28,1),(31,1),(63,1),(70,1),(74,1),(124,1)}
        50:{2,4,6,7}:{(27,1),(29,1),(32,1),(64,1),(71,1),(75,1),(125,1)}
        51:{1,2,4,7}:{(28,1),(29,1),(30,1),(33,1),(72,1),(77,1),(80,1),(128,1)}
        52:{3,6}:{(30,1),(66,1),(77,1)}
        53:{1,2,6,7}:{(31,1),(32,1),(33,1),(79,1),(112,1),(168,1),(172,1)}
        54:{2,3,5,7}:{(33,1),(34,1),(77,1),(79,1),(80,1),(130,1),(132,1),(133,1)}
        55:{2,4,6}:{(34,1),(78,1),(80,1),(81,1),(114,1),(166,1)}
        56:{2,3,4}:{(36,1),(83,1),(95,1)}
        57:{1,3,5,7}:{(35,1),(39,1),(42,1),(84,1),(85,1),(94,1),(148,1),(152,1),(175,1)}
        58:{1,2,5}:{(35,1),(43,1),(86,1),(178,1)}
        59:{2,4,5,6}:{(37,1),(44,1),(87,1),(92,1),(142,1)}
        60:{2,3,5,7}:{(36,1),(40,1),(46,1),(82,1),(88,1),(89,1),(94,1),(136,1),(204,1)}
        61:{1,2,5}:{(36,1),(47,1),(83,1),(90,1)}
        62:{3,5,6}:{(37,1),(38,1),(48,1),(91,1),(92,1)}
        63:{1,4,6}:{(38,1),(39,1),(84,1),(91,1)}
        64:{2,4,6}:{(38,1),(40,1),(88,1),(92,1)}
        65:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(51,1),(85,1),(89,1),(93,1),(94,1),(103,1),(108,1),(140,1),(145,1),(149,1),(152,1),(153,1),(176,1),(178,1),(182,1),(183,1),(186,1),(204,1)}
        66:{3,5}:{(41,1),(52,1),(95,1)}
        67:{1,2,4,7}:{(42,1),(43,1),(85,1),(96,1),(140,1),(199,1)}
        68:{2,3,6}:{(43,1),(52,1),(86,1),(96,1)}
        69:{3,5,7}:{(44,1),(45,1),(87,1),(97,1),(98,1)}
        70:{1,6,7}:{(45,1),(98,1)}
        71:{2,3,6,7}:{(45,1),(46,1),(50,1),(88,1),(99,1),(100,1),(104,1)}
        72:{1,2,7}:{(46,1),(47,1),(101,1)}
        73:{1,3,6}:{(47,1),(52,1),(90,1),(101,1),(102,1)}
        74:{1,5,7}:{(48,1),(49,1),(91,1)}
        75:{2,5,7}:{(48,1),(50,1),(92,1)}
        76:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(53,1),(93,1),(100,1),(103,1),(104,1),(107,1),(149,1),(151,1),(153,1)}
        77:{3,7}:{(51,1),(52,1)}
        78:{3,4,6}:{(52,1),(55,1),(95,1),(102,1),(105,1),(106,1),(155,1)}
        79:{2,3,6,7}:{(53,1),(54,1),(104,1),(107,1),(139,1),(155,1),(184,1)}
        80:{2,4,7}:{(54,1),(55,1),(105,1),(153,1)}
        81:{2,4,5}:{(55,1),(106,1),(178,1),(183,1)}
        82:{2,3,4,7}:{(56,1),(60,1),(109,1),(110,1),(123,1),(125,1),(169,1),(196,1)}
        83:{1,2,4}:{(56,1),(61,1),(111,1),(120,1)}
        84:{1,3,6}:{(57,1),(63,1),(112,1),(122,1),(172,1)}
        85:{1,2,5,7}:{(57,1),(58,1),(67,1),(112,1),(113,1),(168,1),(190,1)}
        86:{2,3,5}:{(58,1),(66,1),(68,1),(114,1)}
        87:{3,5,6}:{(59,1),(69,1),(115,1),(116,1)}
        88:{2,3,6}:{(60,1),(64,1),(118,1),(122,1),(209,1)}
        89:{1,2,5,7}:{(60,1),(61,1),(72,1),(110,1),(118,1),(119,1),(159,1)}
        90:{1,3,5}:{(61,1),(66,1),(73,1),(111,1),(120,1),(129,1)}
        91:{1,5,6}:{(62,1),(63,1),(74,1)}
        92:{2,5,6}:{(62,1),(64,1),(75,1)}
        93:{1,2,4,6}:{(63,1),(64,1),(65,1),(112,1),(118,1),(121,1),(122,1),(134,1),(161,1),(165,1),(166,1),(172,1),(198,1),(209,1)}
        94:{3,5,7}:{(65,1),(66,1),(77,1),(122,1),(123,1),(167,1),(169,1),(191,1)}
        95:{3,4}:{(66,1),(114,1),(120,1)}
        96:{2,3,7}:{(67,1),(68,1),(77,1),(206,1)}
        97:{3,4,7}:{(69,1),(115,1),(124,1),(125,1),(169,1)}
        98:{1,5,7}:{(69,1),(70,1),(116,1),(124,1)}
        99:{2,3,5,7}:{(69,1),(71,1),(75,1),(117,1),(125,1),(126,1),(130,1),(169,1)}
       100:{1,2,6,7}:{(70,1),(71,1),(72,1),(118,1),(126,1),(127,1),(209,1)}
       101:{1,3,7}:{(72,1),(73,1),(77,1),(128,1)}
       102:{1,4,6}:{(73,1),(78,1),(120,1),(128,1),(129,1),(172,1)}
       103:{1,2,5,7}:{(74,1),(75,1),(76,1),(121,1),(130,1),(133,1),(171,1)}
       104:{3,6,7}:{(76,1),(77,1),(122,1),(130,1),(169,1)}
       105:{3,4,7}:{(77,1),(78,1),(80,1),(128,1),(132,1)}
       106:{3,5}:{(78,1),(81,1),(129,1)}
       107:{2,4,6,7}:{(79,1),(80,1),(131,1),(133,1),(134,1),(161,1),(196,1),(209,1)}
       108:{2,4,5,7}:{(80,1),(81,1),(132,1),(133,1),(134,1),(173,1)}
       109:{2,3,4,6}:{(82,1),(88,1),(136,1),(137,1),(142,1),(147,1),(180,1),(201,1),(202,1)}
       110:{1,2,4,7}:{(82,1),(83,1),(89,1),(137,1),(138,1),(145,1)}
       111:{1,3}:{(83,1)}
       112:{1,2,6}:{(84,1),(85,1),(139,1)}
       113:{2,3,5,7}:{(85,1),(86,1),(94,1),(96,1),(139,1),(140,1),(178,1),(184,1),(200,1),(204,1)}
       114:{2,4}:{(86,1),(95,1)}
       115:{3,4,6}:{(87,1),(97,1),(135,1),(141,1),(142,1),(180,1)}
       116:{1,5,6}:{(87,1),(98,1),(141,1)}
       117:{2,3,5,6}:{(87,1),(88,1),(92,1),(99,1),(136,1),(142,1),(143,1),(146,1),(180,1)}
       118:{1,2,6}:{(88,1),(89,1),(144,1)}
       119:{1,3,5,7}:{(89,1),(90,1),(94,1),(101,1),(138,1),(144,1),(145,1),(152,1),(177,1),(182,1)}
       120:{1,4}:{(90,1),(95,1)}
       121:{1,2,5,6}:{(91,1),(92,1),(93,1),(103,1),(146,1),(156,1),(178,1),(182,1),(187,1)}
       122:{3,6}:{(93,1),(94,1)}
       123:{3,4,7}:{(94,1),(95,1),(140,1),(145,1),(147,1),(153,1),(201,1)}
       124:{1,4,7}:{(97,1),(98,1),(141,1),(148,1)}
       125:{2,4,7}:{(97,1),(99,1),(142,1),(153,1)}
       126:{1,2,5,7}:{(98,1),(99,1),(100,1),(143,1),(149,1),(150,1),(204,1)}
       127:{1,3,6,7}:{(100,1),(101,1),(104,1),(144,1),(150,1),(151,1),(205,1)}
       128:{1,4,7}:{(101,1),(102,1),(105,1),(152,1)}
       129:{1,5}:{(102,1),(106,1)}
       130:{3,5,7}:{(103,1),(104,1),(146,1),(153,1)}
       131:{3,4,6,7}:{(104,1),(105,1),(107,1),(147,1),(151,1),(153,1),(154,1),(155,1),(185,1),(188,1),(205,1)}
       132:{3,5,7}:{(105,1),(106,1),(108,1),(152,1),(155,1)}
       133:{2,5,7}:{(107,1),(154,1),(156,1),(178,1)}
       134:{2,4,6}:{(108,1),(155,1),(156,1),(188,1)}
       135:{3,4,5}:{(115,1),(157,1),(158,1),(191,1)}
       136:{2,3,5}:{(109,1),(158,1),(159,1),(167,1),(191,1),(208,1)}
       137:{1,2,4,6}:{(109,1),(110,1),(118,1),(159,1),(160,1),(165,1),(192,1)}
       138:{1,3,7}:{(110,1),(111,1),(160,1),(169,1)}
       139:{2,3,6}:{(112,1),(113,1),(122,1),(161,1),(209,1)}
       140:{2,4,7}:{(113,1),(114,1),(123,1),(161,1),(207,1)}
       141:{1,4,6}:{(115,1),(116,1),(124,1),(157,1),(162,1)}
       142:{2,4,6}:{(115,1),(117,1),(125,1),(158,1),(166,1)}
       143:{1,2,5,6}:{(116,1),(117,1),(118,1),(126,1),(159,1),(163,1),(164,1),(208,1),(209,1)}
       144:{1,3,6}:{(118,1),(119,1),(122,1),(165,1),(172,1)}
       145:{1,4,7}:{(119,1),(120,1),(123,1),(165,1),(192,1)}
       146:{3,5,6}:{(121,1),(122,1),(130,1),(166,1),(167,1)}
       147:{3,4,6}:{(122,1),(123,1),(161,1),(165,1),(166,1),(167,1)}
       148:{1,3,7}:{(124,1),(162,1),(168,1),(169,1)}
       149:{1,2,4,7}:{(124,1),(125,1),(126,1),(163,1),(168,1),(169,1),(170,1),(196,1)}
       150:{1,3,5,7}:{(126,1),(127,1),(130,1),(164,1),(169,1),(170,1),(171,1),(197,1)}
       151:{1,4,6,7}:{(127,1),(128,1),(131,1),(165,1),(170,1),(171,1),(172,1),(198,1)}
       152:{1,5,7}:{(128,1),(129,1),(132,1),(172,1)}
       153:{4,7}:{(130,1),(166,1)}
       154:{3,5,7}:{(131,1),(133,1),(167,1),(171,1),(173,1),(174,1)}
       155:{3,6}:{(132,1),(134,1),(172,1)}
       156:{2,5,6}:{(133,1),(134,1),(174,1),(209,1)}
       157:{1,4,5}:{(135,1),(141,1),(175,1)}
       158:{2,4,5}:{(135,1),(136,1),(142,1),(183,1)}
       159:{1,2,5}:{(136,1),(137,1),(177,1),(182,1)}
       160:{1,3,6}:{(137,1),(138,1),(177,1),(180,1)}
       161:{2,4,6}:{(139,1),(140,1),(147,1),(178,1)}
       162:{1,3,6}:{(141,1),(148,1),(175,1),(179,1),(180,1)}
       163:{1,2,4,6}:{(141,1),(142,1),(143,1),(149,1),(176,1),(179,1),(180,1),(181,1),(202,1)}
       164:{1,3,5,6}:{(143,1),(144,1),(146,1),(150,1),(177,1),(180,1),(181,1),(182,1),(187,1),(203,1),(205,1)}
       165:{1,4,6}:{(144,1),(145,1),(147,1),(182,1)}
       166:{4,6}:{(146,1),(153,1),(183,1)}
       167:{3,5}:{(147,1),(178,1),(182,1),(183,1)}
       168:{1,2,7}:{(148,1),(179,1),(184,1)}
       169:{3,7}:{(149,1),(180,1)}
       170:{1,4,7}:{(150,1),(153,1),(181,1),(185,1)}
       171:{1,5,7}:{(151,1),(154,1),(182,1),(187,1)}
       172:{1,6}:{(152,1),(155,1)}
       173:{4,5,7}:{(153,1),(154,1),(183,1),(188,1)}
       174:{3,5,6}:{(154,1),(155,1),(156,1),(187,1),(188,1),(205,1)}
       175:{1,3,5}:{(157,1),(162,1),(189,1),(190,1),(191,1)}
       176:{1,2,4,5}:{(157,1),(158,1),(159,1),(163,1),(190,1),(191,1),(192,1),(195,1),(207,1),(208,1)}
       177:{1,3,5}:{(159,1),(160,1),(191,1),(192,1)}
       178:{2,5}:{(161,1),(167,1)}
       179:{1,2,6}:{(162,1),(168,1),(190,1),(193,1)}
       180:{3,6}:{(163,1),(169,1),(191,1)}
       181:{1,4,6}:{(164,1),(166,1),(170,1),(192,1),(194,1),(195,1)}
       182:{1,5}:{(165,1),(167,1)}
       183:{4,5}:{(166,1),(167,1)}
       184:{2,3,7}:{(168,1),(169,1),(193,1),(196,1)}
       185:{3,4,7}:{(169,1),(170,1),(194,1),(196,1),(197,1)}
       186:{1,4,5,7}:{(170,1),(171,1),(173,1),(195,1),(197,1),(198,1)}
       187:{1,5,6}:{(171,1),(172,1),(174,1),(198,1)}
       188:{4,6}:{(173,1),(174,1)}
       189:{1,3,4}:{(175,1),(199,1),(201,1)}
       190:{1,2,5}:{(175,1),(179,1),(199,1),(200,1)}
       191:{3,5}:{(176,1),(180,1),(201,1)}
       192:{1,4}:{(177,1),(201,1)}
       193:{2,3,6}:{(179,1),(180,1),(184,1),(200,1),(202,1)}
       194:{3,4,6}:{(180,1),(181,1),(185,1),(201,1),(202,1),(203,1),(205,1)}
       195:{1,4,5}:{(181,1),(182,1),(183,1),(203,1)}
       196:{2,4,7}:{(184,1),(185,1),(202,1),(204,1)}
       197:{3,5,7}:{(185,1),(186,1),(203,1),(204,1),(205,1)}
       198:{1,4,6}:{(186,1),(187,1),(188,1),(205,1)}
       199:{1,2,4}:{(189,1),(190,1),(206,1),(207,1)}
       200:{2,3,5}:{(190,1),(191,1),(193,1),(206,1),(207,1),(208,1)}
       201:{3,4}:{(191,1),(192,1),(207,1)}
       202:{2,4,6}:{(193,1),(194,1),(196,1),(207,1),(208,1),(209,1)}
       203:{3,5}:{(194,1),(195,1),(208,1)}
       204:{2,5,7}:{(196,1),(197,1),(208,1),(209,1)}
       205:{3,6}:{(197,1),(198,1),(209,1)}
       206:{2,3}:{(199,1)}
       207:{2,4}:{(200,1),(201,1)}
       208:{2,5}:{(202,1),(203,1)}
       209:{2,6}:{(204,1),(205,1)}

 559 :   0:{1,5,6,7}:{(1,1),(2,1),(34,1),(38,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(5,1),(7,1),(19,1),(21,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(7,1)}
         3:{1,4,5,6}:{(6,1),(8,1),(20,1),(29,1),(57,1)}
         4:{2,5,6,7}:{(1,1),(9,1),(14,1),(39,1)}
         5:{4,6,7}:{(1,1),(10,1)}
         6:{1,4,5,7}:{(2,1),(3,1),(10,1),(12,1),(38,1),(43,1)}
         7:{3,6,7}:{(2,1),(12,1),(14,1)}
         8:{3,5,6}:{(3,1),(12,1),(15,1),(17,1)}
         9:{2,4,6,7}:{(4,1),(5,1),(18,1),(19,1)}
        10:{4,5,7}:{(5,1),(20,1),(21,1),(120,1)}
        11:{3,4,6,7}:{(5,1),(7,1),(19,1),(21,1),(22,1),(23,1),(25,1),(52,1),(56,1),(62,1),(120,1)}
        12:{3,5,7}:{(6,1),(7,1),(8,1),(25,1),(27,1)}
        13:{1,3,6,7}:{(7,1),(22,1),(26,1),(28,1),(62,1),(107,1),(113,1)}
        14:{2,6,7}:{(7,1),(27,1)}
        15:{3,4,6}:{(8,1),(24,1),(25,1),(29,1),(30,1),(73,1)}
        16:{1,3,5,6}:{(8,1),(26,1),(29,1),(31,1),(57,1),(63,1),(73,1),(113,1),(116,1)}
        17:{2,5,6}:{(8,1),(27,1),(30,1)}
        18:{2,4,5,7}:{(9,1),(10,1),(32,1),(33,1),(39,1),(79,1)}
        19:{3,6,7}:{(9,1),(33,1),(34,1)}
        20:{4,5,6}:{(10,1),(36,1),(147,1)}
        21:{3,5,7}:{(10,1),(11,1),(36,1),(38,1),(39,1)}
        22:{1,4,6,7}:{(11,1),(13,1),(34,1),(38,1),(43,1),(78,1),(83,1)}
        23:{2,4,6,7}:{(11,1),(14,1),(35,1),(39,1),(44,1),(79,1),(84,1)}
        24:{3,4,5}:{(15,1),(41,1),(42,1),(93,1)}
        25:{3,4,7}:{(12,1),(15,1),(43,1),(44,1),(96,1)}
        26:{1,3,5,7}:{(12,1),(13,1),(16,1),(38,1),(43,1),(45,1),(89,1),(96,1)}
        27:{2,5,7}:{(12,1),(14,1),(17,1),(44,1)}
        28:{1,2,6,7}:{(13,1),(14,1),(45,1),(46,1),(138,1),(144,1),(194,1)}
        29:{1,4,6}:{(15,1),(16,1),(41,1),(43,1),(147,1)}
        30:{2,4,6}:{(15,1),(17,1),(42,1),(44,1),(48,1)}
        31:{1,2,5,6}:{(16,1),(17,1),(45,1),(49,1),(50,1),(91,1),(144,1),(158,1),(194,1)}
        32:{2,4,5,6}:{(18,1),(20,1),(51,1),(58,1),(105,1)}
        33:{3,5,7}:{(18,1),(19,1),(51,1),(52,1),(53,1)}
        34:{1,6,7}:{(19,1),(53,1)}
        35:{2,3,6,7}:{(19,1),(23,1),(54,1),(55,1),(62,1),(67,1),(114,1)}
        36:{3,5,6}:{(20,1),(21,1),(56,1),(57,1),(58,1)}
        37:{3,4,5,7}:{(21,1),(24,1),(25,1),(52,1),(56,1),(59,1),(60,1),(103,1),(119,1),(120,1),(174,1)}
        38:{1,5,7}:{(21,1),(22,1),(57,1)}
        39:{2,5,7}:{(21,1),(23,1),(58,1)}
        40:{1,2,4,6,7}:{(22,1),(23,1),(28,1),(55,1),(61,1),(62,1),(68,1),(70,1),(109,1),(111,1),(115,1),(120,1)}
        41:{1,4,5}:{(24,1),(29,1),(63,1),(174,1)}
        42:{2,4,5}:{(24,1),(30,1),(64,1)}
        43:{1,4,7}:{(25,1),(26,1),(29,1),(120,1)}
        44:{2,4,7}:{(25,1),(27,1),(30,1),(67,1)}
        45:{1,2,5,7}:{(26,1),(27,1),(28,1),(31,1),(68,1),(69,1),(178,1)}
        46:{2,3,6,7}:{(28,1),(62,1),(69,1),(70,1),(166,1),(171,1),(179,1)}
        47:{1,3,4,6}:{(29,1),(63,1),(66,1),(71,1),(73,1),(113,1),(124,1),(130,1),(173,1)}
        48:{2,3,6}:{(30,1),(64,1),(67,1),(72,1),(73,1)}
        49:{1,2,4,6}:{(29,1),(30,1),(31,1),(65,1),(68,1),(72,1),(73,1),(74,1),(130,1)}
        50:{2,3,5,6}:{(31,1),(69,1),(73,1),(74,1),(116,1),(122,1),(129,1),(131,1),(171,1),(179,1),(203,1)}
        51:{3,5,6}:{(32,1),(33,1),(75,1),(76,1)}
        52:{3,4,7}:{(33,1),(75,1),(78,1),(79,1),(140,1)}
        53:{1,5,7}:{(33,1),(34,1),(76,1),(78,1)}
        54:{2,3,5,7}:{(33,1),(35,1),(39,1),(77,1),(79,1),(80,1),(89,1),(140,1)}
        55:{1,2,6,7}:{(34,1),(35,1),(80,1),(81,1),(95,1),(145,1),(209,1)}
        56:{3,4,6}:{(36,1),(37,1),(83,1),(84,1),(146,1),(147,1)}
        57:{1,5,6}:{(36,1),(38,1),(83,1)}
        58:{2,5,6}:{(36,1),(39,1),(84,1)}
        59:{1,4,5,7}:{(37,1),(38,1),(41,1),(43,1),(78,1),(83,1),(86,1),(132,1)}
        60:{2,4,5,7}:{(37,1),(39,1),(42,1),(44,1),(79,1),(84,1),(87,1),(133,1)}
        61:{1,2,5,7}:{(38,1),(39,1),(40,1),(85,1),(89,1),(98,1),(142,1)}
        62:{3,6,7}:{(40,1),(89,1),(96,1),(140,1),(146,1)}
        63:{1,3,5}:{(41,1),(47,1),(91,1),(93,1),(158,1),(193,1)}
        64:{2,3,5}:{(42,1),(48,1),(82,1),(92,1),(93,1)}
        65:{1,2,4,5}:{(41,1),(42,1),(49,1),(91,1),(92,1),(93,1),(102,1),(153,1),(154,1),(158,1)}
        66:{1,3,4,7}:{(43,1),(47,1),(86,1),(94,1),(96,1),(150,1),(155,1),(180,1)}
        67:{2,3,7}:{(44,1),(48,1),(95,1),(96,1)}
        68:{1,2,4,7}:{(43,1),(44,1),(45,1),(49,1),(95,1),(96,1),(97,1),(155,1)}
        69:{2,3,5,7}:{(45,1),(46,1),(50,1),(89,1),(96,1),(97,1),(98,1),(156,1)}
        70:{2,4,6,7}:{(46,1),(90,1),(97,1),(98,1),(157,1),(188,1),(191,1),(209,1)}
        71:{1,2,4,6}:{(47,1),(91,1),(94,1),(99,1),(144,1),(153,1),(191,1)}
        72:{1,2,6}:{(48,1),(92,1),(95,1),(100,1)}
        73:{3,6}:{(49,1),(93,1),(96,1)}
        74:{2,4,6}:{(50,1),(97,1),(101,1),(102,1),(147,1),(153,1)}
        75:{3,4,6}:{(51,1),(52,1),(103,1),(104,1),(105,1),(164,1)}
        76:{1,5,6}:{(51,1),(53,1),(104,1)}
        77:{2,3,5,6}:{(51,1),(54,1),(58,1),(105,1),(106,1),(114,1),(116,1),(160,1),(164,1)}
        78:{1,4,7}:{(52,1),(53,1),(104,1),(107,1)}
        79:{2,4,7}:{(52,1),(54,1),(105,1),(120,1)}
        80:{1,2,5,7}:{(53,1),(54,1),(55,1),(106,1),(109,1),(110,1),(201,1)}
        81:{1,3,6,7}:{(55,1),(62,1),(110,1),(111,1),(126,1),(172,1),(202,1)}
        82:{2,3,4}:{(64,1),(112,1),(124,1)}
        83:{1,4,6}:{(56,1),(57,1),(59,1),(113,1)}
        84:{2,4,6}:{(56,1),(58,1),(60,1),(114,1)}
        85:{1,2,5,6}:{(57,1),(58,1),(61,1),(115,1),(116,1),(129,1),(170,1),(203,1),(204,1)}
        86:{1,3,5,7}:{(59,1),(63,1),(66,1),(107,1),(113,1),(117,1),(119,1),(159,1),(178,1)}
        87:{2,3,5,7}:{(60,1),(64,1),(67,1),(108,1),(114,1),(118,1),(119,1),(160,1),(201,1)}
        88:{1,2,4,5,7}:{(59,1),(60,1),(61,1),(65,1),(68,1),(109,1),(115,1),(117,1),(118,1),(119,1),(120,1),(128,1),(161,1),(169,1),(174,1),(175,1),(176,1),(178,1),(201,1),(203,1),(204,1)}
        89:{3,5,7}:{(61,1),(62,1),(116,1),(120,1)}
        90:{3,4,6,7}:{(62,1),(70,1),(111,1),(120,1),(121,1),(127,1),(168,1),(173,1),(177,1),(179,1),(202,1)}
        91:{1,2,5}:{(63,1),(71,1),(122,1),(203,1)}
        92:{1,2,5}:{(64,1),(72,1),(112,1),(123,1)}
        93:{3,5}:{(65,1),(73,1),(124,1)}
        94:{1,2,4,7}:{(66,1),(71,1),(117,1),(125,1),(175,1),(195,1)}
        95:{1,2,7}:{(67,1),(72,1),(126,1)}
        96:{3,7}:{(68,1),(73,1)}
        97:{2,4,7}:{(69,1),(74,1),(120,1),(127,1)}
        98:{2,5,7}:{(70,1),(121,1),(129,1),(203,1)}
        99:{2,3,6}:{(71,1),(73,1),(122,1),(125,1)}
       100:{1,3,6}:{(72,1),(73,1),(123,1),(126,1),(130,1)}
       101:{3,4,6}:{(73,1),(74,1),(124,1),(127,1),(130,1),(131,1),(179,1)}
       102:{2,4,5}:{(74,1),(131,1),(174,1),(203,1)}
       103:{3,4,5}:{(75,1),(132,1),(133,1),(183,1)}
       104:{1,4,6}:{(75,1),(76,1),(78,1),(132,1),(134,1)}
       105:{2,4,6}:{(75,1),(77,1),(79,1),(133,1),(147,1)}
       106:{1,2,5,6}:{(76,1),(77,1),(80,1),(136,1),(137,1),(145,1),(182,1),(208,1),(209,1)}
       107:{1,3,7}:{(78,1),(134,1),(138,1),(140,1)}
       108:{2,3,4,7}:{(79,1),(82,1),(87,1),(135,1),(139,1),(140,1),(150,1),(188,1)}
       109:{1,2,4,7}:{(78,1),(79,1),(80,1),(136,1),(138,1),(140,1),(141,1),(188,1)}
       110:{1,3,5,7}:{(80,1),(81,1),(89,1),(137,1),(140,1),(141,1),(142,1),(189,1)}
       111:{1,4,6,7}:{(81,1),(90,1),(141,1),(142,1),(155,1),(190,1),(192,1),(194,1)}
       112:{1,2,4}:{(82,1),(92,1),(143,1),(154,1)}
       113:{1,3,6}:{(83,1),(86,1),(144,1),(146,1),(194,1)}
       114:{2,3,6}:{(84,1),(87,1),(145,1),(146,1),(209,1)}
       115:{1,2,4,6}:{(83,1),(84,1),(85,1),(88,1),(144,1),(145,1),(146,1),(147,1),(157,1),(190,1),(191,1),(192,1),(194,1),(209,1)}
       116:{3,5,6}:{(85,1),(89,1),(146,1),(147,1),(193,1)}
       117:{1,2,5,7}:{(86,1),(91,1),(94,1),(138,1),(144,1),(148,1),(181,1)}
       118:{1,2,5,7}:{(87,1),(92,1),(95,1),(139,1),(145,1),(149,1),(182,1)}
       119:{3,5,7}:{(88,1),(93,1),(96,1),(140,1),(146,1),(150,1),(183,1),(193,1)}
       120:{4,7}:{(89,1),(147,1)}
       121:{3,5,7}:{(90,1),(98,1),(142,1),(151,1),(152,1),(193,1)}
       122:{2,3,5}:{(91,1),(93,1),(99,1),(153,1)}
       123:{1,3,5}:{(92,1),(93,1),(100,1),(143,1),(154,1),(158,1)}
       124:{3,4}:{(93,1),(153,1),(154,1)}
       125:{2,3,7}:{(94,1),(96,1),(99,1),(205,1)}
       126:{1,3,7}:{(95,1),(96,1),(100,1),(155,1)}
       127:{3,4,7}:{(96,1),(97,1),(101,1),(155,1),(156,1)}
       128:{2,4,5,7}:{(97,1),(98,1),(102,1),(151,1),(156,1),(157,1)}
       129:{2,5,6}:{(98,1),(152,1),(157,1),(209,1)}
       130:{1,4,6}:{(100,1),(101,1),(154,1),(155,1),(158,1),(194,1)}
       131:{3,5}:{(101,1),(102,1),(158,1)}
       132:{1,4,5}:{(103,1),(104,1),(159,1)}
       133:{2,4,5}:{(103,1),(105,1),(160,1),(174,1)}
       134:{1,3,6}:{(104,1),(107,1),(159,1),(162,1),(164,1)}
       135:{2,3,4,6}:{(105,1),(108,1),(114,1),(160,1),(163,1),(164,1),(173,1),(198,1),(199,1)}
       136:{1,2,4,6}:{(104,1),(105,1),(106,1),(109,1),(161,1),(162,1),(164,1),(165,1),(199,1)}
       137:{1,3,5,6}:{(106,1),(110,1),(116,1),(164,1),(165,1),(170,1),(172,1),(197,1),(200,1),(202,1),(204,1)}
       138:{1,2,7}:{(107,1),(162,1),(166,1)}
       139:{1,2,4,7}:{(108,1),(112,1),(118,1),(163,1),(167,1),(176,1)}
       140:{3,7}:{(109,1),(164,1)}
       141:{1,4,7}:{(110,1),(120,1),(165,1),(168,1)}
       142:{1,5,7}:{(111,1),(121,1),(170,1),(204,1)}
       143:{1,3}:{(112,1)}
       144:{1,2,6}:{(113,1),(117,1),(171,1)}
       145:{1,2,6}:{(114,1),(118,1),(172,1)}
       146:{3,6}:{(115,1),(119,1)}
       147:{4,6}:{(116,1),(120,1),(174,1)}
       148:{2,3,5,7}:{(117,1),(119,1),(122,1),(125,1),(166,1),(171,1),(175,1),(196,1),(201,1),(203,1)}
       149:{1,3,5,7}:{(118,1),(119,1),(123,1),(126,1),(167,1),(172,1),(176,1),(178,1),(197,1),(204,1)}
       150:{3,4,7}:{(119,1),(120,1),(124,1),(173,1),(175,1),(176,1),(198,1)}
       151:{4,5,7}:{(120,1),(121,1),(174,1),(177,1)}
       152:{3,5,6}:{(121,1),(129,1),(170,1),(177,1),(179,1),(202,1)}
       153:{2,4}:{(122,1),(124,1)}
       154:{1,4}:{(123,1),(124,1)}
       155:{1,4,7}:{(126,1),(127,1),(130,1),(178,1)}
       156:{3,5,7}:{(127,1),(128,1),(131,1),(178,1),(179,1)}
       157:{2,4,6}:{(128,1),(129,1),(177,1),(179,1)}
       158:{1,5}:{(130,1),(131,1)}
       159:{1,3,5}:{(132,1),(134,1),(180,1),(181,1),(183,1)}
       160:{2,3,5}:{(133,1),(135,1),(182,1),(183,1),(193,1),(208,1)}
       161:{1,2,4,5}:{(132,1),(133,1),(136,1),(181,1),(182,1),(183,1),(187,1),(206,1),(207,1),(208,1)}
       162:{1,2,6}:{(134,1),(138,1),(181,1),(184,1)}
       163:{1,2,4,6}:{(135,1),(139,1),(145,1),(182,1),(185,1),(192,1),(207,1)}
       164:{3,6}:{(136,1),(140,1),(183,1)}
       165:{1,4,6}:{(137,1),(141,1),(147,1),(186,1),(187,1),(207,1)}
       166:{2,3,7}:{(138,1),(140,1),(184,1),(188,1)}
       167:{1,3,7}:{(139,1),(140,1),(143,1),(185,1)}
       168:{3,4,7}:{(140,1),(141,1),(186,1),(188,1),(189,1)}
       169:{1,4,5,7}:{(141,1),(142,1),(151,1),(187,1),(189,1),(190,1)}
       170:{1,5,6}:{(142,1),(152,1),(190,1),(194,1)}
       171:{2,3,6}:{(144,1),(146,1),(148,1),(191,1),(209,1)}
       172:{1,3,6}:{(145,1),(146,1),(149,1),(192,1),(194,1)}
       173:{3,4,6}:{(146,1),(147,1),(150,1),(191,1),(192,1),(193,1)}
       174:{4,5}:{(147,1),(193,1)}
       175:{2,4,7}:{(148,1),(150,1),(153,1),(191,1),(206,1)}
       176:{1,4,7}:{(149,1),(150,1),(154,1),(192,1),(207,1)}
       177:{4,6}:{(151,1),(152,1)}
       178:{1,5,7}:{(155,1),(156,1),(158,1),(194,1)}
       179:{3,6}:{(156,1),(157,1),(194,1)}
       180:{1,3,4}:{(159,1),(195,1),(198,1)}
       181:{1,2,5}:{(159,1),(162,1),(195,1),(196,1)}
       182:{1,2,5}:{(160,1),(163,1),(197,1),(204,1)}
       183:{3,5}:{(161,1),(164,1),(198,1)}
       184:{2,3,6}:{(162,1),(164,1),(166,1),(196,1),(199,1)}
       185:{1,3,6}:{(163,1),(164,1),(167,1),(197,1)}
       186:{3,4,6}:{(164,1),(165,1),(168,1),(198,1),(199,1),(200,1),(202,1)}
       187:{1,4,5}:{(165,1),(174,1),(200,1),(204,1)}
       188:{2,4,7}:{(166,1),(168,1),(199,1),(201,1)}
       189:{3,5,7}:{(168,1),(169,1),(200,1),(201,1),(202,1)}
       190:{1,4,6}:{(169,1),(170,1),(177,1),(202,1)}
       191:{2,4,6}:{(171,1),(173,1),(175,1),(203,1)}
       192:{1,4,6}:{(172,1),(173,1),(176,1),(204,1)}
       193:{3,5}:{(173,1),(174,1),(203,1),(204,1)}
       194:{1,6}:{(178,1),(179,1)}
       195:{1,2,4}:{(180,1),(181,1),(205,1),(206,1)}
       196:{2,3,5}:{(181,1),(183,1),(184,1),(205,1),(206,1),(208,1)}
       197:{1,3,5}:{(182,1),(183,1),(185,1),(207,1)}
       198:{3,4}:{(183,1),(206,1),(207,1)}
       199:{2,4,6}:{(184,1),(186,1),(188,1),(206,1),(208,1),(209,1)}
       200:{3,5}:{(186,1),(187,1),(208,1)}
       201:{2,5,7}:{(188,1),(189,1),(208,1),(209,1)}
       202:{3,6}:{(189,1),(190,1),(209,1)}
       203:{2,5}:{(191,1),(193,1)}
       204:{1,5}:{(192,1),(193,1)}
       205:{2,3}:{(195,1)}
       206:{2,4}:{(196,1),(198,1)}
       207:{1,4}:{(197,1),(198,1)}
       208:{2,5}:{(199,1),(200,1)}
       209:{2,6}:{(201,1),(202,1)}

 560 :   0:{1,3,5,7}:{(2,1),(3,1),(4,1),(5,1),(18,1),(22,1),(48,1)}
         1:{1,4,5,7}:{(3,1),(5,1),(6,1),(22,1),(24,1),(50,1),(52,1)}
         2:{1,2,5,7}:{(0,1),(7,1),(8,1),(9,1),(13,1),(33,1),(55,1)}
         3:{1,4,7}:{(0,1),(10,1),(11,1),(63,1),(88,1)}
         4:{1,3,6}:{(0,1),(9,1),(11,1),(14,1),(32,1),(99,1)}
         5:{3,5,7}:{(1,1),(10,1),(13,1),(14,1),(35,1)}
         6:{1,4,6}:{(1,1),(14,1),(15,1),(39,1)}
         7:{2,3,5,7}:{(2,1),(16,1),(17,1),(18,1),(40,1),(44,1),(48,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(16,1),(18,1),(19,1),(20,1),(42,1),(45,1)}
         9:{1,2,6}:{(2,1),(4,1),(17,1),(25,1),(69,1),(103,1)}
        10:{3,4,7}:{(3,1),(5,1),(18,1),(20,1),(21,1),(52,1),(77,1)}
        11:{1,4,6}:{(3,1),(4,1),(21,1),(22,1),(78,1),(95,1)}
        12:{1,4,6,7}:{(6,1),(23,1),(24,1),(52,1)}
        13:{2,5,7}:{(5,1),(20,1),(25,1),(49,1)}
        14:{3,6}:{(5,1),(6,1),(25,1)}
        15:{1,5,6}:{(6,1),(22,1),(24,1),(26,1),(78,1)}
        16:{2,4,7}:{(7,1),(28,1),(29,1),(63,1),(104,1)}
        17:{2,3,6}:{(7,1),(9,1),(29,1),(32,1),(56,1),(100,1)}
        18:{3,7}:{(8,1),(32,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(11,1),(29,1),(32,1),(33,1),(34,1),(58,1),(60,1),(63,1),(84,1)}
        20:{2,4,7}:{(10,1),(13,1),(31,1),(34,1)}
        21:{3,4,6}:{(10,1),(11,1),(14,1),(32,1),(34,1),(35,1),(39,1),(63,1),(66,1),(86,1)}
        22:{1,5}:{(11,1),(35,1)}
        23:{3,6,7}:{(12,1),(14,1),(36,1),(37,1)}
        24:{1,5,7}:{(12,1),(15,1),(37,1),(88,1)}
        25:{2,6}:{(13,1),(14,1)}
        26:{3,5,6}:{(14,1),(15,1),(35,1),(37,1),(38,1),(39,1),(66,1)}
        27:{2,4,5,7}:{(16,1),(40,1),(41,1),(44,1),(68,1),(72,1),(90,1)}
        28:{3,4,7}:{(16,1),(18,1),(40,1),(42,1),(43,1),(90,1),(101,1)}
        29:{2,4,6}:{(16,1),(17,1),(43,1),(44,1),(94,1),(102,1)}
        30:{1,3,7}:{(18,1),(42,1),(45,1),(46,1),(101,1)}
        31:{2,3,7}:{(18,1),(20,1),(45,1),(47,1),(77,1)}
        32:{3,6}:{(18,1),(19,1),(48,1),(93,1)}
        33:{1,2,5}:{(19,1),(22,1),(44,1),(48,1),(49,1),(71,1)}
        34:{2,4,6}:{(20,1),(21,1),(25,1),(47,1),(49,1),(75,1)}
        35:{3,5}:{(21,1),(22,1),(49,1),(50,1)}
        36:{2,6,7}:{(23,1),(25,1),(51,1)}
        37:{3,5,7}:{(23,1),(24,1),(26,1),(51,1),(52,1),(77,1)}
        38:{2,5,6}:{(25,1),(26,1),(49,1),(51,1),(53,1)}
        39:{4,6}:{(26,1),(50,1),(52,1)}
        40:{3,5,7}:{(27,1),(28,1),(55,1),(56,1),(59,1)}
        41:{2,4,6}:{(27,1),(56,1),(57,1),(82,1)}
        42:{1,4,7}:{(28,1),(30,1),(55,1),(58,1)}
        43:{3,4,6}:{(28,1),(29,1),(32,1),(56,1),(58,1),(59,1),(63,1),(82,1),(85,1),(97,1)}
        44:{2,5}:{(29,1),(59,1)}
        45:{1,2,7}:{(30,1),(31,1),(60,1),(88,1),(104,1)}
        46:{1,3,6}:{(30,1),(32,1),(58,1),(60,1),(61,1),(97,1)}
        47:{2,3,6}:{(31,1),(32,1),(34,1),(60,1),(62,1),(66,1)}
        48:{3,5}:{(32,1),(33,1),(63,1)}
        49:{2,5}:{(34,1),(35,1)}
        50:{4,5}:{(35,1),(39,1),(63,1)}
        51:{2,5,7}:{(36,1),(37,1),(38,1),(65,1)}
        52:{4,7}:{(37,1),(39,1)}
        53:{2,4,6}:{(38,1),(39,1),(64,1),(65,1),(66,1)}
        54:{2,4,6,7}:{(41,1),(67,1),(68,1),(90,1)}
        55:{1,5,7}:{(40,1),(42,1),(69,1),(71,1)}
        56:{3,6}:{(40,1),(41,1),(69,1)}
        57:{2,5,6}:{(41,1),(44,1),(68,1),(70,1),(102,1)}
        58:{1,4,6}:{(42,1),(43,1),(46,1),(69,1),(71,1),(74,1)}
        59:{3,5}:{(43,1),(44,1),(71,1),(72,1)}
        60:{1,2,6}:{(45,1),(46,1),(47,1),(73,1),(78,1),(102,1)}
        61:{1,3,5}:{(46,1),(48,1),(71,1),(73,1),(74,1),(92,1),(93,1)}
        62:{2,3,5}:{(47,1),(48,1),(49,1),(73,1),(75,1),(76,1),(93,1)}
        63:{4}:{(48,1)}
        64:{2,4,5}:{(49,1),(50,1),(53,1),(75,1),(76,1)}
        65:{2,4,7}:{(51,1),(52,1),(53,1),(77,1)}
        66:{3,6}:{(53,1),(76,1),(77,1),(78,1)}
        67:{3,6,7}:{(54,1),(56,1),(79,1),(80,1)}
        68:{2,5,7}:{(54,1),(57,1),(80,1),(104,1)}
        69:{1,6}:{(55,1),(56,1)}
        70:{3,5,6}:{(56,1),(57,1),(59,1),(80,1),(81,1),(82,1),(97,1)}
        71:{1,5}:{(58,1),(59,1)}
        72:{4,5}:{(59,1),(63,1),(82,1)}
        73:{1,2,5}:{(60,1),(61,1),(62,1),(84,1),(87,1),(98,1)}
        74:{1,4}:{(61,1),(63,1),(85,1)}
        75:{2,4}:{(62,1),(63,1),(86,1)}
        76:{3,5}:{(64,1),(66,1),(86,1),(87,1)}
        77:{3,7}:{(65,1),(66,1),(88,1)}
        78:{1,6}:{(66,1),(87,1),(88,1)}
        79:{1,6,7}:{(67,1),(69,1),(89,1)}
        80:{3,5,7}:{(67,1),(68,1),(70,1),(89,1),(90,1),(101,1)}
        81:{1,5,6}:{(69,1),(70,1),(71,1),(89,1),(91,1)}
        82:{4,6}:{(70,1),(72,1),(90,1)}
        83:{1,4,5}:{(71,1),(72,1),(74,1),(91,1),(92,1)}
        84:{1,2,4}:{(73,1),(74,1),(75,1),(93,1),(94,1),(95,1),(103,1)}
        85:{3,4}:{(74,1),(92,1),(93,1),(94,1)}
        86:{3,4}:{(75,1),(76,1),(93,1),(95,1)}
        87:{1,5}:{(76,1),(78,1),(95,1)}
        88:{1,7}:{(77,1),(78,1)}
        89:{1,5,7}:{(79,1),(80,1),(81,1),(96,1)}
        90:{4,7}:{(80,1),(82,1)}
        91:{1,4,6}:{(81,1),(82,1),(83,1),(96,1),(97,1)}
        92:{3,5}:{(83,1),(85,1),(97,1),(98,1)}
        93:{3}:{(84,1)}
        94:{2,4}:{(85,1),(98,1),(100,1)}
        95:{1,4}:{(86,1),(87,1),(99,1)}
        96:{1,4,7}:{(89,1),(90,1),(91,1),(101,1)}
        97:{3,6}:{(91,1),(92,1),(101,1),(102,1)}
        98:{2,5}:{(92,1),(94,1),(102,1)}
        99:{1,3}:{(93,1),(95,1),(103,1)}
       100:{2,3}:{(93,1),(94,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{2,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{2,7}:{(101,1),(102,1)}

 561 :   0:{2,3,4,5}:{(1,1),(2,1),(25,1),(63,1),(74,1)}
         1:{1,2,4,5}:{(0,1),(3,1),(4,1),(14,1),(44,1),(50,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(52,1)}
         3:{1,3,5}:{(1,1),(8,1),(9,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(33,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(12,1),(13,1),(35,1),(63,1),(123,1)}
         6:{2,3,4,7}:{(2,1),(11,1),(13,1),(79,1)}
         7:{1,2,3,5}:{(3,1),(14,1),(15,1),(41,1),(44,1)}
         8:{1,3,4}:{(3,1),(14,1)}
         9:{1,3,6}:{(3,1),(4,1),(19,1)}
        10:{1,2,5,6}:{(4,1),(5,1),(18,1),(21,1),(44,1),(96,1)}
        11:{1,2,4,7}:{(4,1),(6,1),(19,1),(21,1),(53,1)}
        12:{2,4,5,6}:{(5,1),(22,1),(23,1),(90,1),(155,1)}
        13:{2,3,5,7}:{(5,1),(6,1),(21,1),(23,1),(24,1),(57,1)}
        14:{1,2,4}:{(7,1),(8,1),(25,1)}
        15:{1,2,3,6}:{(7,1),(9,1),(27,1),(29,1),(62,1)}
        16:{1,3,4,5}:{(8,1),(26,1),(30,1),(31,1),(121,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(27,1),(31,1),(32,1),(33,1),(69,1),(76,1)}
        18:{1,3,5,6}:{(9,1),(10,1),(31,1),(33,1),(34,1),(35,1),(76,1),(142,1)}
        19:{1,3,7}:{(9,1),(11,1)}
        20:{1,2,4,5,6}:{(10,1),(12,1),(33,1),(35,1),(36,1),(38,1),(67,1),(78,1),(81,1),(130,1),(142,1),(200,1),(201,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(13,1),(34,1),(37,1)}
        22:{3,4,5,6}:{(12,1),(35,1),(38,1),(39,1),(121,1),(183,1),(201,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(39,1),(40,1)}
        24:{2,3,6,7}:{(13,1),(37,1),(40,1),(84,1),(123,1)}
        25:{2,3,4}:{(14,1),(41,1)}
        26:{1,2,4,5}:{(14,1),(16,1),(41,1),(43,1),(44,1),(90,1)}
        27:{1,2,4,6}:{(14,1),(15,1),(17,1),(42,1),(44,1),(45,1),(96,1)}
        28:{1,2,3,5,6}:{(15,1),(18,1),(44,1),(46,1),(47,1),(56,1),(88,1),(94,1),(96,1),(156,1),(160,1),(163,1),(164,1),(165,1),(215,1)}
        29:{1,2,3,7}:{(15,1),(19,1),(45,1),(89,1)}
        30:{1,3,4,6}:{(16,1),(43,1),(48,1),(49,1),(149,1)}
        31:{1,3,5}:{(17,1),(44,1),(50,1),(94,1)}
        32:{1,3,4,7}:{(17,1),(19,1),(45,1),(51,1),(53,1),(99,1)}
        33:{1,4,6}:{(18,1),(50,1),(52,1),(53,1)}
        34:{1,3,5,7}:{(18,1),(19,1),(21,1),(53,1),(54,1),(57,1),(112,1)}
        35:{3,5,6}:{(20,1),(52,1),(57,1),(94,1),(163,1)}
        36:{1,2,4,5,7}:{(20,1),(21,1),(23,1),(53,1),(57,1),(58,1),(59,1),(110,1),(112,1),(113,1),(175,1),(176,1)}
        37:{1,2,6,7}:{(21,1),(24,1),(54,1),(96,1)}
        38:{1,4,5,6}:{(22,1),(55,1),(59,1),(152,1),(208,1)}
        39:{3,4,5,7}:{(22,1),(23,1),(57,1),(59,1),(60,1),(176,1)}
        40:{2,4,6,7}:{(23,1),(24,1),(60,1),(61,1),(155,1)}
        41:{2,3,5}:{(25,1),(26,1),(62,1)}
        42:{2,3,4,6}:{(25,1),(27,1),(62,1),(63,1),(64,1),(69,1),(119,1),(123,1)}
        43:{1,2,4,6}:{(26,1),(30,1),(62,1),(65,1),(66,1),(119,1)}
        44:{1,2,5}:{(27,1),(31,1),(63,1)}
        45:{1,2,4,7}:{(27,1),(29,1),(32,1),(64,1),(68,1)}
        46:{1,2,4,6}:{(28,1),(33,1),(67,1),(69,1),(70,1),(78,1),(119,1),(177,1)}
        47:{1,2,3,5,7}:{(28,1),(29,1),(34,1),(68,1),(70,1),(71,1),(83,1),(120,1),(129,1),(135,1),(186,1),(191,1),(195,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(65,1),(72,1),(73,1),(76,1),(124,1)}
        49:{1,3,4,7}:{(30,1),(66,1),(73,1),(179,1)}
        50:{1,4,5}:{(31,1),(33,1),(74,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(68,1),(75,1),(76,1),(129,1)}
        52:{3,4,6}:{(33,1),(35,1),(74,1),(78,1),(79,1)}
        53:{1,4,7}:{(33,1),(34,1),(79,1)}
        54:{1,3,6,7}:{(34,1),(37,1),(76,1),(80,1),(84,1)}
        55:{1,3,5,6}:{(35,1),(38,1),(77,1),(81,1),(82,1),(127,1),(192,1)}
        56:{2,3,5,6}:{(35,1),(78,1),(81,1),(83,1),(128,1),(143,1),(193,1),(200,1)}
        57:{3,5,7}:{(35,1),(36,1),(79,1),(84,1)}
        58:{1,2,4,6,7}:{(36,1),(37,1),(40,1),(80,1),(84,1),(85,1),(86,1),(130,1),(145,1),(147,1),(148,1)}
        59:{1,4,5,7}:{(38,1),(39,1),(82,1),(86,1)}
        60:{3,4,6,7}:{(39,1),(40,1),(84,1),(86,1),(87,1),(148,1),(183,1)}
        61:{2,5,6,7}:{(40,1),(87,1),(184,1)}
        62:{2,3,6}:{(41,1),(43,1),(89,1)}
        63:{2,3,5}:{(42,1),(44,1),(90,1),(94,1)}
        64:{2,3,4,7}:{(42,1),(45,1),(89,1),(91,1),(99,1),(150,1)}
        65:{1,2,5,6}:{(43,1),(44,1),(48,1),(88,1),(93,1),(96,1)}
        66:{1,2,4,7}:{(43,1),(49,1),(89,1),(93,1),(150,1)}
        67:{1,2,4,5}:{(44,1),(46,1),(50,1),(90,1),(94,1),(105,1),(152,1),(160,1)}
        68:{1,2,5,7}:{(44,1),(45,1),(51,1),(91,1),(96,1)}
        69:{3,4,6}:{(46,1),(94,1),(99,1),(163,1)}
        70:{1,2,4,7}:{(46,1),(47,1),(53,1),(99,1),(110,1),(150,1),(203,1)}
        71:{1,2,3,6,7}:{(47,1),(54,1),(96,1),(100,1),(115,1),(151,1),(163,1),(211,1),(215,1)}
        72:{1,4,5,6}:{(48,1),(50,1),(101,1),(102,1),(107,1)}
        73:{1,3,5,7}:{(48,1),(49,1),(93,1),(102,1),(103,1),(158,1)}
        74:{3,4,5}:{(50,1),(52,1),(94,1),(105,1)}
        75:{1,4,5,7}:{(50,1),(51,1),(53,1),(106,1),(107,1),(112,1)}
        76:{1,3,6}:{(51,1),(96,1),(107,1),(163,1)}
        77:{1,3,4,6}:{(52,1),(55,1),(104,1),(108,1),(109,1)}
        78:{2,4,6}:{(52,1),(56,1),(105,1),(110,1)}
        79:{3,4,7}:{(52,1),(53,1),(57,1),(110,1)}
        80:{1,4,6,7}:{(53,1),(54,1),(107,1),(111,1),(112,1)}
        81:{1,2,5,6}:{(55,1),(56,1),(108,1),(113,1),(160,1),(215,1)}
        82:{1,3,5,7}:{(55,1),(57,1),(59,1),(109,1),(113,1),(114,1)}
        83:{2,3,5,7}:{(56,1),(57,1),(110,1),(113,1),(115,1),(174,1),(175,1)}
        84:{3,6,7}:{(57,1),(58,1),(163,1)}
        85:{1,2,5,6,7}:{(58,1),(61,1),(112,1),(116,1),(117,1),(164,1),(175,1)}
        86:{1,4,6,7}:{(59,1),(60,1),(114,1),(117,1),(208,1)}
        87:{3,5,6,7}:{(60,1),(61,1),(117,1),(118,1),(209,1)}
        88:{2,3,5,6}:{(62,1),(63,1),(65,1),(119,1),(120,1),(123,1),(124,1),(184,1)}
        89:{2,3,7}:{(62,1),(66,1)}
        90:{2,4,5}:{(63,1),(119,1),(121,1)}
        91:{2,3,5,7}:{(63,1),(64,1),(68,1),(122,1),(123,1),(129,1)}
        92:{1,2,4,5,6}:{(65,1),(67,1),(72,1),(119,1),(124,1),(125,1),(130,1),(136,1),(177,1),(184,1),(185,1),(224,1),(225,1)}
        93:{1,2,5,7}:{(65,1),(66,1),(73,1),(120,1),(126,1)}
        94:{3,5}:{(67,1),(69,1)}
        95:{1,2,4,5,7}:{(67,1),(68,1),(70,1),(75,1),(122,1),(129,1),(130,1),(135,1),(140,1),(182,1),(191,1),(196,1)}
        96:{1,2,6}:{(68,1),(76,1),(123,1)}
        97:{1,3,4,6}:{(69,1),(127,1),(131,1),(132,1),(177,1),(192,1),(219,1),(223,1)}
        98:{2,3,4,6}:{(69,1),(78,1),(128,1),(131,1),(133,1),(143,1),(193,1),(199,1)}
        99:{3,4,7}:{(69,1),(70,1),(129,1)}
       100:{1,2,4,6,7}:{(70,1),(71,1),(80,1),(130,1),(134,1),(135,1),(145,1),(180,1),(221,1)}
       101:{3,4,5,6}:{(72,1),(74,1),(124,1),(136,1),(137,1),(141,1),(225,1)}
       102:{1,4,5,7}:{(72,1),(73,1),(137,1),(138,1)}
       103:{1,3,6,7}:{(73,1),(76,1),(126,1),(138,1),(188,1)}
       104:{1,3,4,5}:{(74,1),(77,1),(127,1),(139,1),(223,1)}
       105:{2,4,5}:{(74,1),(78,1),(128,1)}
       106:{3,4,5,7}:{(74,1),(75,1),(79,1),(129,1),(140,1),(141,1),(146,1),(196,1)}
       107:{1,4,6}:{(75,1),(76,1),(141,1),(142,1)}
       108:{1,2,4,6}:{(77,1),(78,1),(81,1),(139,1),(143,1),(144,1)}
       109:{1,3,4,7}:{(77,1),(79,1),(82,1),(144,1)}
       110:{2,4,7}:{(78,1),(79,1),(83,1)}
       111:{3,4,6,7}:{(79,1),(80,1),(84,1),(141,1),(145,1),(146,1),(148,1)}
       112:{1,5,7}:{(80,1),(142,1),(146,1)}
       113:{1,2,5,7}:{(81,1),(82,1),(83,1),(144,1),(147,1)}
       114:{1,3,6,7}:{(82,1),(84,1),(86,1),(147,1),(192,1)}
       115:{2,3,6,7}:{(83,1),(84,1),(145,1),(147,1),(193,1)}
       116:{3,5,6,7}:{(84,1),(85,1),(146,1),(148,1),(194,1)}
       117:{1,5,6,7}:{(86,1),(87,1),(224,1)}
       118:{4,5,6,7}:{(87,1),(148,1),(225,1)}
       119:{2,4,6}:{(88,1),(90,1),(149,1),(150,1)}
       120:{2,3,5,7}:{(88,1),(89,1),(93,1),(150,1),(151,1),(158,1),(206,1)}
       121:{3,4,5}:{(90,1),(94,1),(149,1),(152,1)}
       122:{2,4,5,7}:{(90,1),(91,1),(150,1),(154,1),(155,1),(206,1)}
       123:{2,3,6}:{(91,1),(96,1),(155,1),(163,1)}
       124:{3,5,6}:{(92,1),(94,1),(149,1),(158,1),(163,1)}
       125:{1,2,4,5,7}:{(92,1),(93,1),(102,1),(150,1),(158,1),(159,1),(168,1),(203,1),(206,1),(210,1),(229,1),(230,1)}
       126:{1,2,6,7}:{(93,1),(96,1),(103,1),(151,1)}
       127:{1,3,5}:{(94,1),(97,1),(152,1),(160,1)}
       128:{2,3,5}:{(94,1),(98,1),(105,1),(160,1)}
       129:{3,5,7}:{(94,1),(95,1),(99,1),(163,1)}
       130:{1,2,4,6}:{(95,1),(96,1),(107,1),(155,1),(163,1),(164,1),(172,1),(208,1),(215,1),(216,1)}
       131:{1,2,4,6}:{(97,1),(98,1),(160,1),(165,1),(166,1),(214,1),(215,1)}
       132:{1,3,4,7}:{(97,1),(99,1),(161,1),(166,1),(203,1),(228,1)}
       133:{2,3,4,7}:{(98,1),(99,1),(110,1),(162,1),(166,1),(174,1)}
       134:{3,4,6,7}:{(99,1),(100,1),(163,1),(167,1),(216,1)}
       135:{1,2,5,7}:{(100,1),(112,1),(164,1),(167,1),(175,1),(206,1),(229,1)}
       136:{2,4,5,6}:{(101,1),(105,1),(157,1),(168,1),(172,1)}
       137:{3,4,5,7}:{(101,1),(102,1),(158,1),(168,1),(169,1),(230,1)}
       138:{1,4,6,7}:{(102,1),(103,1),(107,1),(169,1),(170,1)}
       139:{1,2,4,5}:{(104,1),(105,1),(108,1),(160,1),(171,1),(214,1)}
       140:{2,4,5,7}:{(105,1),(106,1),(110,1),(162,1),(172,1),(175,1)}
       141:{3,4,6}:{(106,1),(107,1),(163,1),(172,1),(173,1),(216,1)}
       142:{1,5,6}:{(107,1),(112,1),(173,1)}
       143:{2,3,6}:{(108,1),(171,1),(174,1)}
       144:{1,2,4,7}:{(108,1),(109,1),(110,1),(113,1),(174,1)}
       145:{2,4,6,7}:{(110,1),(111,1),(115,1),(172,1),(175,1)}
       146:{3,5,7}:{(111,1),(112,1),(173,1),(175,1),(176,1)}
       147:{1,2,6,7}:{(113,1),(114,1),(115,1),(215,1)}
       148:{4,6,7}:{(116,1),(176,1),(216,1)}
       149:{3,4,6}:{(119,1),(121,1),(124,1),(177,1),(179,1)}
       150:{2,4,7}:{(119,1),(120,1),(179,1)}
       151:{2,3,6,7}:{(120,1),(123,1),(126,1),(180,1),(188,1)}
       152:{1,4,5}:{(121,1),(127,1),(177,1)}
       153:{2,3,4,5}:{(121,1),(128,1),(178,1),(181,1),(199,1)}
       154:{3,4,5,7}:{(121,1),(122,1),(129,1),(179,1),(182,1),(183,1),(196,1),(222,1)}
       155:{2,4,6}:{(122,1),(123,1),(183,1),(184,1)}
       156:{1,3,5,6}:{(124,1),(127,1),(177,1),(185,1),(186,1),(192,1),(219,1),(224,1)}
       157:{2,3,5,6}:{(124,1),(128,1),(136,1),(178,1),(185,1),(187,1),(193,1)}
       158:{3,5,7}:{(124,1),(125,1),(179,1),(188,1)}
       159:{1,2,4,6,7}:{(125,1),(126,1),(130,1),(138,1),(180,1),(188,1),(189,1),(197,1),(221,1),(226,1),(227,1)}
       160:{1,2,5}:{(127,1),(128,1),(131,1)}
       161:{1,3,5,7}:{(127,1),(129,1),(132,1),(182,1),(191,1),(192,1)}
       162:{2,3,5,7}:{(128,1),(129,1),(133,1),(140,1),(191,1),(193,1)}
       163:{3,6}:{(129,1),(130,1)}
       164:{1,2,5,6}:{(130,1),(135,1),(142,1),(184,1),(194,1),(200,1),(224,1)}
       165:{1,2,3,6}:{(131,1),(143,1),(190,1),(195,1),(219,1)}
       166:{1,2,4,7}:{(131,1),(132,1),(133,1),(191,1),(195,1)}
       167:{3,5,7}:{(134,1),(135,1),(194,1),(196,1)}
       168:{2,4,5,7}:{(136,1),(137,1),(187,1),(197,1)}
       169:{3,4,6,7}:{(137,1),(138,1),(141,1),(188,1),(197,1),(198,1),(227,1)}
       170:{1,5,6,7}:{(138,1),(142,1),(198,1)}
       171:{2,3,5}:{(139,1),(143,1),(199,1)}
       172:{2,4,6}:{(140,1),(141,1),(193,1),(200,1)}
       173:{3,5,6}:{(141,1),(142,1),(146,1),(200,1),(201,1)}
       174:{2,3,7}:{(143,1),(144,1)}
       175:{2,5,7}:{(145,1),(146,1),(200,1)}
       176:{4,5,7}:{(146,1),(148,1),(201,1)}
       177:{1,4,6}:{(149,1),(152,1),(156,1),(203,1)}
       178:{2,3,4,6}:{(149,1),(153,1),(157,1),(202,1),(204,1)}
       179:{3,4,7}:{(149,1),(150,1),(158,1),(203,1)}
       180:{2,4,6,7}:{(150,1),(151,1),(155,1),(205,1),(206,1)}
       181:{1,2,4,5}:{(152,1),(153,1),(160,1),(202,1),(207,1),(214,1)}
       182:{1,4,5,7}:{(152,1),(154,1),(161,1),(203,1),(208,1),(229,1)}
       183:{3,4,6}:{(154,1),(155,1),(163,1),(208,1),(209,1),(216,1)}
       184:{2,5,6}:{(155,1),(206,1),(209,1)}
       185:{1,2,5,6}:{(156,1),(157,1),(160,1),(202,1),(210,1),(215,1)}
       186:{1,3,5,7}:{(156,1),(158,1),(203,1),(210,1),(211,1),(228,1),(229,1)}
       187:{2,3,5,7}:{(157,1),(158,1),(168,1),(204,1),(210,1),(212,1)}
       188:{3,6,7}:{(158,1),(159,1),(163,1)}
       189:{1,2,5,6,7}:{(159,1),(164,1),(170,1),(206,1),(213,1),(217,1),(229,1)}
       190:{1,2,3,5}:{(160,1),(165,1),(171,1),(207,1),(214,1)}
       191:{1,2,5,7}:{(160,1),(161,1),(162,1),(166,1),(215,1)}
       192:{1,3,6}:{(161,1),(163,1),(208,1),(215,1)}
       193:{2,3,6}:{(162,1),(163,1),(172,1),(215,1)}
       194:{3,5,6}:{(163,1),(164,1),(167,1),(216,1)}
       195:{1,2,3,7}:{(165,1),(166,1),(174,1),(228,1)}
       196:{4,5,7}:{(167,1),(216,1)}
       197:{2,4,6,7}:{(168,1),(169,1),(172,1),(212,1),(217,1)}
       198:{3,5,6,7}:{(169,1),(170,1),(173,1),(217,1),(218,1)}
       199:{2,3,4}:{(171,1),(214,1)}
       200:{2,5,6}:{(172,1),(173,1),(175,1)}
       201:{4,5,6}:{(173,1),(176,1),(216,1)}
       202:{1,2,4,6}:{(177,1),(178,1),(181,1),(185,1),(219,1),(220,1)}
       203:{1,4,7}:{(177,1),(179,1),(186,1)}
       204:{2,3,4,7}:{(178,1),(179,1),(187,1),(220,1)}
       205:{3,4,6,7}:{(179,1),(180,1),(183,1),(188,1),(221,1),(222,1),(227,1)}
       206:{2,5,7}:{(180,1),(184,1),(222,1)}
       207:{1,3,5}:{(181,1),(219,1),(223,1)}
       208:{1,4,6}:{(182,1),(183,1),(192,1),(224,1)}
       209:{3,5,6}:{(183,1),(184,1),(222,1),(224,1),(225,1)}
       210:{1,2,5,7}:{(185,1),(186,1),(187,1),(220,1),(226,1)}
       211:{1,3,6,7}:{(186,1),(188,1),(192,1),(221,1),(226,1)}
       212:{2,3,6,7}:{(187,1),(188,1),(193,1),(197,1),(226,1)}
       213:{3,5,6,7}:{(188,1),(189,1),(194,1),(222,1),(227,1)}
       214:{1,2,4}:{(190,1),(199,1),(223,1)}
       215:{1,2,6}:{(191,1),(192,1),(193,1)}
       216:{4,6}:{(194,1),(196,1)}
       217:{2,5,6,7}:{(197,1),(198,1),(200,1)}
       218:{4,5,6,7}:{(198,1),(201,1),(227,1)}
       219:{1,3,6}:{(202,1),(207,1),(228,1)}
       220:{1,2,4,7}:{(202,1),(203,1),(204,1),(210,1),(228,1)}
       221:{1,4,6,7}:{(203,1),(205,1),(208,1),(211,1),(229,1)}
       222:{3,5,7}:{(205,1),(206,1),(209,1),(229,1),(230,1)}
       223:{1,3,4}:{(207,1),(214,1)}
       224:{1,5,6}:{(208,1),(209,1),(229,1)}
       225:{4,5,6}:{(209,1),(216,1),(230,1)}
       226:{1,2,6,7}:{(210,1),(211,1),(212,1),(215,1)}
       227:{4,6,7}:{(213,1),(216,1),(230,1)}
       228:{1,3,7}:{(219,1),(220,1)}
       229:{1,5,7}:{(221,1),(222,1),(224,1)}
       230:{4,5,7}:{(222,1),(225,1),(227,1)}

 562 :   0:{2,4,5,6}:{(3,1),(4,1),(26,1),(32,1),(83,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(26,1),(37,1),(74,1),(86,1),(124,1),(137,1)}
         2:{2,5,6,7}:{(9,1),(11,1),(94,1),(98,1)}
         3:{2,4,5,7}:{(0,1),(11,1),(12,1),(44,1),(47,1),(98,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(13,1)}
         5:{3,4,5}:{(10,1),(16,1),(17,1),(60,1)}
         6:{2,3,5}:{(1,1),(17,1),(19,1),(60,1),(148,1),(159,1)}
         7:{2,3,4,7}:{(1,1),(18,1),(20,1),(47,1),(100,1),(113,1),(147,1),(177,1)}
         8:{1,2,4,6}:{(1,1),(19,1),(20,1),(21,1),(61,1),(63,1),(114,1)}
         9:{3,5,6,7}:{(2,1),(22,1),(23,1),(27,1),(67,1),(70,1)}
        10:{3,4,6}:{(4,1),(5,1),(24,1),(25,1),(26,1),(74,1)}
        11:{2,4,6,7}:{(2,1),(3,1),(23,1),(27,1)}
        12:{3,5,7}:{(3,1),(4,1),(24,1),(27,1),(28,1)}
        13:{1,5,6}:{(4,1),(25,1),(28,1)}
        14:{2,3,5,6}:{(4,1),(6,1),(26,1),(29,1),(30,1),(37,1),(74,1),(83,1),(136,1)}
        15:{3,4,5,7}:{(5,1),(24,1),(33,1),(34,1),(35,1),(70,1),(85,1),(115,1),(119,1),(168,1),(176,1)}
        16:{1,4,5}:{(5,1),(25,1),(31,1)}
        17:{2,4,5}:{(5,1),(6,1),(26,1),(176,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(35,1),(37,1),(38,1),(85,1),(160,1),(163,1),(167,1)}
        19:{1,2,5}:{(6,1),(8,1),(39,1),(138,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(38,1),(40,1),(88,1),(191,1)}
        21:{1,3,6}:{(8,1),(39,1),(40,1),(74,1)}
        22:{1,5,6,7}:{(9,1),(42,1),(49,1),(97,1)}
        23:{4,6,7}:{(9,1),(44,1)}
        24:{3,4,7}:{(10,1),(12,1),(46,1),(47,1),(100,1)}
        25:{1,4,6}:{(10,1),(13,1),(16,1),(43,1),(46,1)}
        26:{2,4,6}:{(10,1),(14,1),(17,1),(47,1),(158,1)}
        27:{3,6,7}:{(11,1),(12,1),(49,1)}
        28:{1,5,7}:{(12,1),(13,1),(46,1),(49,1)}
        29:{2,3,5,7}:{(12,1),(14,1),(47,1),(50,1),(51,1),(98,1),(100,1),(149,1)}
        30:{1,2,5,6}:{(13,1),(14,1),(19,1),(48,1),(51,1),(52,1),(61,1),(148,1),(185,1)}
        31:{1,3,5}:{(16,1),(41,1),(43,1),(55,1),(60,1)}
        32:{4,5,6}:{(44,1),(56,1),(158,1)}
        33:{3,4,6}:{(15,1),(56,1),(57,1),(58,1),(112,1),(158,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(46,1),(54,1),(57,1),(97,1),(139,1),(143,1)}
        35:{2,4,5,7}:{(15,1),(17,1),(18,1),(47,1),(58,1),(98,1),(140,1),(144,1)}
        36:{1,2,4,5}:{(16,1),(17,1),(19,1),(48,1),(55,1),(60,1),(63,1),(104,1),(110,1),(148,1)}
        37:{2,3,6}:{(18,1),(58,1),(61,1),(112,1),(185,1)}
        38:{1,2,5,7}:{(18,1),(19,1),(20,1),(61,1),(62,1),(178,1),(181,1)}
        39:{1,3,5}:{(19,1),(21,1),(60,1),(63,1)}
        40:{1,3,7}:{(20,1),(21,1),(100,1),(201,1)}
        41:{1,3,4}:{(31,1),(65,1),(86,1)}
        42:{1,4,6,7}:{(22,1),(23,1),(66,1),(67,1)}
        43:{1,3,6}:{(25,1),(31,1),(68,1),(69,1),(74,1)}
        44:{4,5,7}:{(23,1),(32,1),(70,1),(168,1)}
        45:{3,4,6,7}:{(23,1),(24,1),(27,1),(33,1),(67,1),(70,1),(71,1),(72,1),(119,1),(126,1),(168,1)}
        46:{1,4,7}:{(24,1),(25,1),(28,1),(68,1)}
        47:{2,4,7}:{(24,1),(26,1),(29,1),(168,1)}
        48:{1,2,4,6}:{(25,1),(26,1),(30,1),(36,1),(69,1),(73,1),(74,1),(77,1),(124,1)}
        49:{1,6,7}:{(27,1),(28,1)}
        50:{2,3,6,7}:{(27,1),(29,1),(37,1),(72,1),(75,1),(126,1),(163,1)}
        51:{1,2,5,7}:{(28,1),(29,1),(30,1),(73,1),(75,1),(76,1),(167,1)}
        52:{1,3,5,6}:{(30,1),(39,1),(74,1),(76,1),(77,1),(87,1),(128,1),(136,1),(138,1),(170,1),(171,1)}
        53:{1,4,5,6}:{(32,1),(66,1),(78,1),(82,1),(131,1)}
        54:{1,3,5,7}:{(31,1),(34,1),(64,1),(68,1),(79,1),(80,1),(85,1),(116,1),(207,1)}
        55:{1,2,5}:{(31,1),(65,1),(69,1),(81,1)}
        56:{3,5,6}:{(32,1),(33,1),(70,1),(82,1),(83,1)}
        57:{1,4,6}:{(33,1),(34,1),(79,1),(82,1)}
        58:{2,4,6}:{(33,1),(35,1),(37,1),(83,1)}
        59:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(38,1),(73,1),(80,1),(84,1),(85,1),(88,1),(125,1),(130,1),(135,1),(138,1),(161,1),(164,1),(167,1),(168,1),(175,1),(176,1),(196,1),(207,1)}
        60:{3,5}:{(36,1),(74,1),(86,1)}
        61:{1,2,6}:{(37,1),(38,1),(87,1)}
        62:{1,3,5,7}:{(38,1),(39,1),(40,1),(85,1),(87,1),(88,1),(138,1),(192,1),(194,1),(207,1)}
        63:{1,4}:{(39,1),(86,1)}
        64:{1,3,4,7}:{(41,1),(54,1),(89,1),(90,1),(113,1),(143,1),(182,1),(203,1)}
        65:{1,2,4}:{(41,1),(55,1),(91,1),(110,1)}
        66:{1,4,5,7}:{(42,1),(44,1),(53,1),(92,1),(97,1),(143,1)}
        67:{3,6,7}:{(42,1),(92,1),(94,1)}
        68:{1,3,7}:{(43,1),(46,1),(95,1),(100,1)}
        69:{1,2,6}:{(43,1),(55,1),(95,1),(96,1)}
        70:{3,5,7}:{(44,1),(45,1),(56,1),(97,1),(98,1)}
        71:{1,4,6,7}:{(45,1),(46,1),(49,1),(57,1),(93,1),(97,1),(143,1)}
        72:{2,4,6,7}:{(45,1),(47,1),(50,1),(58,1),(94,1),(98,1),(144,1)}
        73:{1,2,4,7}:{(46,1),(47,1),(48,1),(51,1),(95,1),(100,1),(103,1),(147,1)}
        74:{3,6}:{(48,1),(60,1),(100,1)}
        75:{1,2,6,7}:{(49,1),(50,1),(51,1),(61,1),(102,1),(181,1),(185,1)}
        76:{1,3,5,7}:{(51,1),(52,1),(100,1),(102,1),(103,1),(149,1),(151,1),(152,1)}
        77:{1,4,6}:{(52,1),(63,1),(101,1),(103,1),(104,1),(158,1)}
        78:{3,5,6}:{(53,1),(92,1),(105,1),(107,1)}
        79:{1,3,6}:{(54,1),(57,1),(108,1),(112,1),(209,1)}
        80:{1,2,5,7}:{(54,1),(55,1),(90,1),(95,1),(108,1),(109,1),(141,1)}
        81:{2,3,5}:{(55,1),(60,1),(91,1),(96,1),(110,1),(148,1)}
        82:{1,5,6}:{(56,1),(57,1),(97,1)}
        83:{2,5,6}:{(56,1),(58,1),(98,1)}
        84:{1,2,4,6}:{(57,1),(58,1),(59,1),(61,1),(108,1),(111,1),(112,1),(114,1),(153,1),(157,1),(158,1),(185,1),(205,1),(209,1)}
        85:{3,5,7}:{(59,1),(60,1),(100,1),(112,1),(113,1),(159,1),(179,1),(182,1)}
        86:{3,4}:{(60,1),(63,1),(110,1)}
        87:{1,3,6}:{(61,1),(62,1),(112,1),(114,1),(209,1)}
        88:{1,4,7}:{(62,1),(63,1),(113,1),(114,1),(202,1)}
        89:{1,3,4,6}:{(64,1),(79,1),(116,1),(117,1),(131,1),(137,1),(173,1),(193,1),(199,1)}
        90:{1,2,4,7}:{(64,1),(65,1),(80,1),(117,1),(118,1),(135,1)}
        91:{2,3}:{(65,1)}
        92:{3,5,7}:{(66,1),(67,1),(78,1),(119,1),(121,1)}
        93:{1,3,6,7}:{(67,1),(68,1),(71,1),(79,1),(120,1),(122,1),(126,1)}
        94:{2,6,7}:{(67,1),(121,1)}
        95:{1,2,7}:{(68,1),(69,1),(123,1)}
        96:{2,3,6}:{(69,1),(74,1),(81,1),(123,1),(124,1)}
        97:{1,5,7}:{(70,1),(71,1),(82,1)}
        98:{2,5,7}:{(70,1),(72,1),(83,1)}
        99:{1,2,4,6,7}:{(71,1),(72,1),(73,1),(75,1),(84,1),(122,1),(125,1),(126,1),(129,1),(164,1),(166,1),(168,1)}
       100:{3,7}:{(73,1),(74,1)}
       101:{3,4,6}:{(74,1),(77,1),(86,1),(124,1),(127,1),(128,1),(170,1)}
       102:{1,3,6,7}:{(75,1),(76,1),(87,1),(126,1),(129,1),(170,1),(194,1)}
       103:{1,4,7}:{(76,1),(77,1),(127,1),(168,1)}
       104:{1,4,5}:{(77,1),(128,1),(138,1),(176,1)}
       105:{3,4,6}:{(78,1),(115,1),(119,1),(131,1),(132,1),(173,1)}
       106:{1,3,5,6}:{(78,1),(79,1),(82,1),(116,1),(120,1),(131,1),(133,1),(136,1),(173,1)}
       107:{2,5,6}:{(78,1),(121,1),(132,1)}
       108:{1,2,6}:{(79,1),(80,1),(134,1)}
       109:{2,3,5,7}:{(80,1),(81,1),(85,1),(118,1),(123,1),(134,1),(135,1),(162,1),(167,1),(175,1)}
       110:{2,4}:{(81,1),(86,1)}
       111:{1,2,5,6}:{(82,1),(83,1),(84,1),(125,1),(136,1),(138,1),(171,1),(175,1),(197,1)}
       112:{3,6}:{(84,1),(85,1)}
       113:{3,4,7}:{(85,1),(86,1),(88,1),(135,1),(137,1),(168,1),(193,1)}
       114:{1,4,6}:{(87,1),(88,1),(137,1),(138,1)}
       115:{3,4,5}:{(105,1),(139,1),(140,1),(179,1)}
       116:{1,3,5}:{(89,1),(139,1),(141,1),(159,1),(179,1),(206,1)}
       117:{1,2,4,6}:{(89,1),(90,1),(108,1),(141,1),(142,1),(157,1),(180,1)}
       118:{2,3,7}:{(90,1),(91,1),(142,1),(182,1)}
       119:{3,4,7}:{(92,1),(105,1),(143,1),(144,1),(182,1)}
       120:{1,3,5,7}:{(92,1),(93,1),(97,1),(106,1),(143,1),(145,1),(149,1),(182,1)}
       121:{2,5,7}:{(92,1),(94,1),(107,1),(144,1)}
       122:{1,2,6,7}:{(93,1),(94,1),(95,1),(108,1),(145,1),(146,1),(209,1)}
       123:{2,3,7}:{(95,1),(96,1),(100,1),(147,1)}
       124:{2,4,6}:{(96,1),(101,1),(110,1),(147,1),(148,1),(185,1)}
       125:{1,2,5,7}:{(97,1),(98,1),(99,1),(111,1),(149,1),(152,1),(184,1)}
       126:{3,6,7}:{(99,1),(100,1),(112,1),(149,1),(182,1)}
       127:{3,4,7}:{(100,1),(101,1),(103,1),(147,1),(151,1)}
       128:{3,5}:{(101,1),(104,1),(148,1)}
       129:{1,4,6,7}:{(102,1),(103,1),(114,1),(150,1),(152,1),(153,1),(203,1),(209,1)}
       130:{1,4,5,7}:{(103,1),(104,1),(151,1),(152,1),(153,1),(186,1)}
       131:{1,4,6}:{(105,1),(106,1),(139,1),(143,1),(158,1)}
       132:{2,4,6}:{(105,1),(107,1),(140,1),(144,1),(154,1)}
       133:{1,2,5,6}:{(106,1),(107,1),(108,1),(141,1),(145,1),(155,1),(156,1),(206,1),(209,1)}
       134:{2,3,6}:{(108,1),(109,1),(112,1),(157,1),(185,1)}
       135:{2,4,7}:{(109,1),(110,1),(113,1),(157,1),(180,1)}
       136:{3,5,6}:{(111,1),(112,1),(149,1),(158,1),(159,1)}
       137:{3,4,6}:{(112,1),(113,1),(114,1),(157,1),(158,1),(159,1)}
       138:{1,5}:{(114,1),(159,1)}
       139:{1,4,5}:{(115,1),(116,1),(131,1),(176,1)}
       140:{2,4,5}:{(115,1),(132,1),(160,1)}
       141:{1,2,5}:{(116,1),(117,1),(162,1),(175,1)}
       142:{2,3,6}:{(117,1),(118,1),(162,1),(173,1)}
       143:{1,4,7}:{(119,1),(120,1),(131,1),(168,1)}
       144:{2,4,7}:{(119,1),(121,1),(132,1),(163,1)}
       145:{1,2,5,7}:{(120,1),(121,1),(122,1),(133,1),(164,1),(165,1),(207,1)}
       146:{2,3,6,7}:{(122,1),(123,1),(126,1),(134,1),(165,1),(166,1),(208,1)}
       147:{2,4,7}:{(123,1),(124,1),(127,1),(167,1)}
       148:{2,5}:{(124,1),(128,1)}
       149:{3,5,7}:{(125,1),(126,1),(136,1),(168,1)}
       150:{3,4,6,7}:{(126,1),(127,1),(129,1),(137,1),(166,1),(168,1),(169,1),(170,1),(195,1),(198,1),(208,1)}
       151:{3,5,7}:{(127,1),(128,1),(130,1),(167,1),(170,1)}
       152:{1,5,7}:{(129,1),(138,1),(169,1),(171,1)}
       153:{1,4,6}:{(130,1),(170,1),(171,1),(198,1)}
       154:{2,3,6}:{(132,1),(160,1),(163,1),(172,1),(173,1)}
       155:{1,2,4,6}:{(131,1),(132,1),(133,1),(161,1),(164,1),(172,1),(173,1),(174,1),(199,1)}
       156:{2,3,5,6}:{(133,1),(134,1),(136,1),(162,1),(165,1),(173,1),(174,1),(175,1),(197,1),(200,1),(208,1)}
       157:{2,4,6}:{(134,1),(135,1),(137,1),(175,1)}
       158:{4,6}:{(136,1),(168,1),(176,1)}
       159:{3,5}:{(137,1),(138,1),(175,1),(176,1)}
       160:{2,3,5}:{(140,1),(154,1),(177,1),(178,1),(179,1)}
       161:{1,2,4,5}:{(139,1),(140,1),(141,1),(155,1),(178,1),(179,1),(180,1),(190,1),(202,1),(206,1)}
       162:{2,3,5}:{(141,1),(142,1),(179,1),(180,1)}
       163:{2,3,7}:{(144,1),(154,1),(181,1),(182,1)}
       164:{1,2,4,7}:{(143,1),(144,1),(145,1),(155,1),(181,1),(182,1),(183,1),(203,1)}
       165:{2,3,5,7}:{(145,1),(146,1),(149,1),(156,1),(182,1),(183,1),(184,1),(204,1)}
       166:{2,4,6,7}:{(146,1),(147,1),(150,1),(157,1),(183,1),(184,1),(185,1),(205,1)}
       167:{2,5,7}:{(147,1),(148,1),(151,1),(185,1)}
       168:{4,7}:{(149,1),(158,1)}
       169:{3,5,7}:{(150,1),(152,1),(159,1),(184,1),(186,1),(187,1)}
       170:{3,6}:{(151,1),(153,1),(185,1)}
       171:{1,5,6}:{(152,1),(153,1),(187,1),(209,1)}
       172:{1,2,6}:{(154,1),(178,1),(181,1),(188,1)}
       173:{3,6}:{(155,1),(179,1),(182,1)}
       174:{2,4,6}:{(156,1),(158,1),(180,1),(183,1),(189,1),(190,1)}
       175:{2,5}:{(157,1),(159,1)}
       176:{4,5}:{(158,1),(159,1)}
       177:{2,3,4}:{(160,1),(191,1),(193,1)}
       178:{1,2,5}:{(160,1),(172,1),(191,1),(192,1)}
       179:{3,5}:{(161,1),(173,1),(193,1)}
       180:{2,4}:{(162,1),(193,1)}
       181:{1,2,7}:{(163,1),(172,1),(194,1)}
       182:{3,7}:{(164,1),(173,1)}
       183:{2,4,7}:{(165,1),(168,1),(174,1),(195,1)}
       184:{2,5,7}:{(166,1),(169,1),(175,1),(197,1)}
       185:{2,6}:{(167,1),(170,1)}
       186:{4,5,7}:{(168,1),(169,1),(176,1),(198,1)}
       187:{3,5,6}:{(169,1),(170,1),(171,1),(197,1),(198,1),(208,1)}
       188:{1,3,6}:{(172,1),(173,1),(192,1),(194,1),(199,1)}
       189:{3,4,6}:{(173,1),(174,1),(193,1),(195,1),(199,1),(200,1),(208,1)}
       190:{2,4,5}:{(174,1),(175,1),(176,1),(200,1)}
       191:{1,2,4}:{(177,1),(178,1),(201,1),(202,1)}
       192:{1,3,5}:{(178,1),(179,1),(188,1),(201,1),(202,1),(206,1)}
       193:{3,4}:{(179,1),(180,1),(202,1)}
       194:{1,3,7}:{(181,1),(182,1),(188,1),(203,1)}
       195:{3,4,7}:{(182,1),(183,1),(189,1),(203,1),(204,1)}
       196:{2,4,5,7}:{(183,1),(184,1),(186,1),(190,1),(204,1),(205,1)}
       197:{2,5,6}:{(184,1),(185,1),(187,1),(205,1)}
       198:{4,6}:{(186,1),(187,1)}
       199:{1,4,6}:{(188,1),(189,1),(202,1),(203,1),(206,1),(209,1)}
       200:{3,5}:{(189,1),(190,1),(206,1)}
       201:{1,3}:{(191,1)}
       202:{1,4}:{(192,1),(193,1)}
       203:{1,4,7}:{(194,1),(195,1),(199,1),(207,1)}
       204:{3,5,7}:{(195,1),(196,1),(200,1),(207,1),(208,1)}
       205:{2,4,6}:{(196,1),(197,1),(198,1),(208,1)}
       206:{1,5}:{(199,1),(200,1)}
       207:{1,5,7}:{(203,1),(204,1),(206,1),(209,1)}
       208:{3,6}:{(204,1),(205,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

 563 :   0:{2,5,6,7}:{(2,1),(4,1),(75,1),(82,1)}
         1:{2,3,4,7}:{(6,1),(7,1),(8,1),(86,1),(88,1),(144,1),(171,1),(184,1)}
         2:{3,5,6,7}:{(0,1),(9,1),(10,1),(16,1),(47,1),(51,1)}
         3:{3,4,5,7}:{(12,1),(13,1),(14,1),(20,1),(51,1),(57,1),(58,1),(98,1),(103,1),(162,1),(164,1)}
         4:{2,4,6,7}:{(0,1),(10,1),(15,1),(16,1)}
         5:{2,4,5,6}:{(11,1),(15,1),(17,1),(55,1),(63,1)}
         6:{2,3,5,7}:{(1,1),(14,1),(18,1),(19,1),(21,1),(57,1),(151,1),(154,1),(198,1)}
         7:{2,3,4,6}:{(1,1),(18,1),(21,1),(22,1),(63,1),(115,1),(121,1),(125,1),(169,1)}
         8:{1,2,4,7}:{(1,1),(19,1),(22,1),(23,1),(66,1),(188,1)}
         9:{1,5,6,7}:{(2,1),(24,1),(34,1),(81,1)}
        10:{4,6,7}:{(2,1),(27,1)}
        11:{4,5,6}:{(27,1),(29,1),(141,1)}
        12:{3,4,6}:{(3,1),(29,1),(30,1),(31,1),(85,1),(141,1)}
        13:{1,4,5,7}:{(3,1),(26,1),(30,1),(41,1),(81,1),(87,1),(126,1),(131,1)}
        14:{2,4,5,7}:{(3,1),(6,1),(31,1),(42,1),(82,1),(88,1),(127,1),(132,1)}
        15:{2,4,5,7}:{(4,1),(5,1),(27,1),(33,1),(82,1),(88,1)}
        16:{3,6,7}:{(4,1),(33,1),(34,1)}
        17:{3,5,6}:{(5,1),(33,1),(36,1),(37,1)}
        18:{2,3,6}:{(6,1),(31,1),(39,1),(85,1),(206,1)}
        19:{1,2,5,7}:{(6,1),(8,1),(39,1),(40,1),(43,1),(172,1),(175,1)}
        20:{3,4,5}:{(36,1),(41,1),(42,1),(96,1)}
        21:{2,3,5}:{(7,1),(42,1),(43,1),(96,1),(142,1),(187,1)}
        22:{1,2,4,6}:{(7,1),(8,1),(39,1),(43,1),(44,1),(94,1),(97,1)}
        23:{1,3,7}:{(8,1),(44,1),(144,1),(200,1)}
        24:{1,4,6,7}:{(9,1),(10,1),(46,1),(47,1)}
        25:{1,4,5,6}:{(11,1),(46,1),(48,1),(54,1),(107,1)}
        26:{1,3,5,7}:{(13,1),(45,1),(49,1),(50,1),(57,1),(67,1),(99,1),(116,1),(207,1)}
        27:{4,5,7}:{(10,1),(11,1),(51,1),(162,1)}
        28:{3,4,6,7}:{(10,1),(12,1),(16,1),(47,1),(51,1),(52,1),(53,1),(58,1),(103,1),(113,1),(162,1)}
        29:{3,5,6}:{(11,1),(12,1),(51,1),(54,1),(55,1)}
        30:{1,4,6}:{(12,1),(13,1),(49,1),(54,1)}
        31:{2,4,6}:{(12,1),(14,1),(18,1),(55,1)}
        32:{1,2,4,5,7}:{(13,1),(14,1),(19,1),(50,1),(56,1),(57,1),(66,1),(68,1),(111,1),(112,1),(117,1),(123,1),(152,1),(155,1),(161,1),(162,1),(164,1),(167,1),(193,1),(198,1),(207,1)}
        33:{3,5,7}:{(15,1),(16,1),(17,1),(58,1),(59,1)}
        34:{1,6,7}:{(16,1),(59,1)}
        35:{2,3,6,7}:{(16,1),(18,1),(53,1),(60,1),(61,1),(113,1),(154,1)}
        36:{3,4,6}:{(17,1),(20,1),(58,1),(62,1),(63,1),(121,1)}
        37:{1,5,6}:{(17,1),(59,1),(62,1)}
        38:{2,3,5,6}:{(17,1),(18,1),(21,1),(55,1),(60,1),(63,1),(64,1),(114,1),(121,1)}
        39:{1,2,6}:{(18,1),(19,1),(65,1)}
        40:{1,3,5,7}:{(19,1),(23,1),(57,1),(65,1),(66,1),(69,1),(123,1),(189,1),(191,1),(207,1)}
        41:{1,4,5}:{(20,1),(62,1),(67,1)}
        42:{2,4,5}:{(20,1),(21,1),(63,1),(164,1)}
        43:{1,2,5}:{(21,1),(22,1),(69,1),(123,1)}
        44:{1,3,6}:{(22,1),(23,1),(69,1),(121,1)}
        45:{1,3,4,7}:{(26,1),(70,1),(71,1),(72,1),(86,1),(131,1),(176,1),(202,1)}
        46:{1,4,5,7}:{(24,1),(25,1),(27,1),(73,1),(81,1),(131,1)}
        47:{3,6,7}:{(24,1),(73,1),(75,1)}
        48:{3,5,6}:{(25,1),(73,1),(76,1),(78,1)}
        49:{1,3,6}:{(26,1),(30,1),(79,1),(85,1),(209,1)}
        50:{1,2,5,7}:{(26,1),(71,1),(79,1),(80,1),(95,1),(128,1),(143,1)}
        51:{3,5,7}:{(27,1),(28,1),(29,1),(81,1),(82,1)}
        52:{1,4,6,7}:{(28,1),(30,1),(34,1),(74,1),(81,1),(87,1),(131,1)}
        53:{2,4,6,7}:{(28,1),(31,1),(35,1),(75,1),(82,1),(88,1),(132,1)}
        54:{1,5,6}:{(29,1),(30,1),(81,1)}
        55:{2,5,6}:{(29,1),(31,1),(82,1)}
        56:{1,2,4,6}:{(30,1),(31,1),(32,1),(39,1),(79,1),(84,1),(85,1),(94,1),(138,1),(141,1),(186,1),(204,1),(206,1),(209,1)}
        57:{3,5,7}:{(32,1),(85,1),(86,1),(96,1),(142,1),(144,1),(173,1),(176,1)}
        58:{3,4,7}:{(33,1),(36,1),(87,1),(88,1),(144,1)}
        59:{1,5,7}:{(33,1),(34,1),(37,1),(87,1)}
        60:{2,3,5,7}:{(33,1),(35,1),(38,1),(82,1),(88,1),(89,1),(139,1),(144,1)}
        61:{1,2,6,7}:{(34,1),(35,1),(39,1),(89,1),(90,1),(175,1),(206,1)}
        62:{1,4,6}:{(36,1),(37,1),(41,1),(87,1),(91,1)}
        63:{2,4,6}:{(36,1),(38,1),(42,1),(88,1),(141,1)}
        64:{1,2,5,6}:{(37,1),(38,1),(39,1),(43,1),(89,1),(92,1),(93,1),(187,1),(206,1)}
        65:{1,3,6}:{(39,1),(40,1),(85,1),(94,1),(209,1)}
        66:{1,4,7}:{(40,1),(86,1),(94,1),(97,1),(201,1)}
        67:{1,3,5}:{(41,1),(72,1),(91,1),(95,1),(96,1)}
        68:{1,2,4,5}:{(41,1),(42,1),(43,1),(92,1),(95,1),(96,1),(97,1),(149,1),(150,1),(187,1)}
        69:{1,3,5}:{(43,1),(44,1),(96,1),(97,1)}
        70:{1,3,4,6}:{(45,1),(49,1),(99,1),(100,1),(107,1),(115,1),(159,1),(190,1),(195,1)}
        71:{1,2,4,7}:{(45,1),(50,1),(100,1),(101,1),(102,1),(111,1)}
        72:{1,3,4}:{(67,1),(102,1),(125,1)}
        73:{3,5,7}:{(46,1),(47,1),(48,1),(103,1),(105,1)}
        74:{1,3,6,7}:{(47,1),(49,1),(52,1),(104,1),(106,1),(113,1),(116,1)}
        75:{2,6,7}:{(47,1),(105,1)}
        76:{3,4,6}:{(48,1),(98,1),(103,1),(107,1),(108,1),(159,1)}
        77:{1,3,5,6}:{(48,1),(49,1),(54,1),(99,1),(104,1),(107,1),(109,1),(114,1),(159,1)}
        78:{2,5,6}:{(48,1),(105,1),(108,1)}
        79:{1,2,6}:{(49,1),(50,1),(110,1)}
        80:{2,3,5,7}:{(50,1),(57,1),(101,1),(110,1),(111,1),(124,1),(153,1),(161,1),(165,1),(198,1)}
        81:{1,5,7}:{(51,1),(52,1),(54,1)}
        82:{2,5,7}:{(51,1),(53,1),(55,1)}
        83:{1,2,4,6,7}:{(52,1),(53,1),(56,1),(61,1),(106,1),(112,1),(113,1),(117,1),(119,1),(155,1),(157,1),(162,1)}
        84:{1,2,5,6}:{(54,1),(55,1),(56,1),(112,1),(114,1),(123,1),(161,1),(168,1),(194,1)}
        85:{3,6}:{(56,1),(57,1)}
        86:{3,4,7}:{(57,1),(66,1),(111,1),(115,1),(125,1),(162,1),(190,1)}
        87:{1,4,7}:{(58,1),(59,1),(62,1),(116,1)}
        88:{2,4,7}:{(58,1),(60,1),(63,1),(162,1)}
        89:{1,2,5,7}:{(59,1),(60,1),(61,1),(64,1),(117,1),(118,1),(198,1)}
        90:{1,3,6,7}:{(61,1),(65,1),(113,1),(118,1),(119,1),(191,1),(199,1)}
        91:{1,3,6}:{(62,1),(67,1),(116,1),(120,1),(121,1)}
        92:{1,2,4,6}:{(62,1),(63,1),(64,1),(68,1),(117,1),(120,1),(121,1),(122,1),(169,1)}
        93:{1,3,5,6}:{(64,1),(65,1),(69,1),(114,1),(118,1),(121,1),(122,1),(123,1),(168,1),(170,1),(199,1)}
        94:{1,4,6}:{(65,1),(66,1),(115,1),(123,1)}
        95:{1,2,5}:{(67,1),(102,1),(120,1),(124,1)}
        96:{3,5}:{(68,1),(121,1),(125,1)}
        97:{1,4}:{(69,1),(125,1)}
        98:{3,4,5}:{(76,1),(126,1),(127,1),(173,1)}
        99:{1,3,5}:{(70,1),(126,1),(128,1),(142,1),(173,1),(205,1)}
       100:{1,2,4,6}:{(70,1),(71,1),(79,1),(128,1),(129,1),(138,1),(174,1)}
       101:{2,3,7}:{(71,1),(129,1),(130,1),(176,1)}
       102:{1,2,4}:{(72,1),(95,1),(130,1),(150,1)}
       103:{3,4,7}:{(73,1),(76,1),(131,1),(132,1),(176,1)}
       104:{1,3,5,7}:{(73,1),(74,1),(77,1),(81,1),(131,1),(133,1),(139,1),(176,1)}
       105:{2,5,7}:{(73,1),(75,1),(78,1),(132,1)}
       106:{1,2,6,7}:{(74,1),(75,1),(79,1),(133,1),(134,1),(143,1),(209,1)}
       107:{1,4,6}:{(76,1),(77,1),(126,1),(131,1),(141,1)}
       108:{2,4,6}:{(76,1),(78,1),(127,1),(132,1),(135,1)}
       109:{1,2,5,6}:{(77,1),(78,1),(79,1),(128,1),(133,1),(136,1),(137,1),(205,1),(209,1)}
       110:{2,3,6}:{(79,1),(80,1),(85,1),(138,1),(206,1)}
       111:{2,4,7}:{(80,1),(86,1),(138,1),(150,1),(174,1)}
       112:{1,2,5,7}:{(81,1),(82,1),(83,1),(84,1),(139,1),(146,1),(178,1)}
       113:{3,6,7}:{(83,1),(85,1),(139,1),(144,1),(176,1)}
       114:{3,5,6}:{(84,1),(85,1),(139,1),(141,1),(142,1)}
       115:{3,4,6}:{(85,1),(86,1),(94,1),(138,1),(141,1),(142,1)}
       116:{1,3,7}:{(87,1),(91,1),(143,1),(144,1)}
       117:{1,2,4,7}:{(87,1),(88,1),(89,1),(92,1),(143,1),(144,1),(145,1),(184,1)}
       118:{1,3,5,7}:{(89,1),(90,1),(93,1),(139,1),(144,1),(145,1),(146,1),(185,1)}
       119:{1,4,6,7}:{(90,1),(94,1),(140,1),(145,1),(146,1),(186,1),(202,1),(209,1)}
       120:{1,2,6}:{(91,1),(95,1),(143,1),(147,1)}
       121:{3,6}:{(92,1),(96,1),(144,1)}
       122:{1,4,6}:{(93,1),(97,1),(141,1),(145,1),(148,1),(149,1)}
       123:{1,5}:{(94,1),(142,1)}
       124:{2,3,5}:{(95,1),(96,1),(130,1),(147,1),(150,1),(187,1)}
       125:{3,4}:{(96,1),(97,1),(150,1)}
       126:{1,4,5}:{(98,1),(99,1),(107,1),(164,1)}
       127:{2,4,5}:{(98,1),(108,1),(151,1)}
       128:{1,2,5}:{(99,1),(100,1),(153,1),(161,1)}
       129:{2,3,6}:{(100,1),(101,1),(153,1),(159,1)}
       130:{2,3}:{(102,1)}
       131:{1,4,7}:{(103,1),(104,1),(107,1),(162,1)}
       132:{2,4,7}:{(103,1),(105,1),(108,1),(154,1)}
       133:{1,2,5,7}:{(104,1),(105,1),(106,1),(109,1),(155,1),(156,1),(207,1)}
       134:{2,3,6,7}:{(106,1),(110,1),(113,1),(156,1),(157,1),(165,1),(208,1)}
       135:{2,3,6}:{(108,1),(151,1),(154,1),(158,1),(159,1)}
       136:{1,2,4,6}:{(107,1),(108,1),(109,1),(152,1),(155,1),(158,1),(159,1),(160,1),(195,1)}
       137:{2,3,5,6}:{(109,1),(110,1),(114,1),(153,1),(156,1),(159,1),(160,1),(161,1),(194,1),(196,1),(208,1)}
       138:{2,4,6}:{(110,1),(111,1),(115,1),(161,1)}
       139:{3,5,7}:{(112,1),(113,1),(114,1),(162,1)}
       140:{3,4,6,7}:{(113,1),(115,1),(119,1),(157,1),(162,1),(163,1),(166,1),(192,1),(197,1),(199,1),(208,1)}
       141:{4,6}:{(114,1),(162,1),(164,1)}
       142:{3,5}:{(115,1),(123,1),(161,1),(164,1)}
       143:{1,2,7}:{(116,1),(120,1),(165,1)}
       144:{3,7}:{(117,1),(121,1)}
       145:{1,4,7}:{(118,1),(122,1),(162,1),(166,1)}
       146:{1,5,7}:{(119,1),(123,1),(163,1),(168,1)}
       147:{2,3,6}:{(120,1),(121,1),(124,1),(165,1),(169,1)}
       148:{3,4,6}:{(121,1),(122,1),(125,1),(166,1),(169,1),(170,1),(199,1)}
       149:{1,4,5}:{(122,1),(123,1),(164,1),(170,1)}
       150:{2,4}:{(124,1),(125,1)}
       151:{2,3,5}:{(127,1),(135,1),(171,1),(172,1),(173,1)}
       152:{1,2,4,5}:{(126,1),(127,1),(128,1),(136,1),(172,1),(173,1),(174,1),(181,1),(201,1),(205,1)}
       153:{2,3,5}:{(128,1),(129,1),(173,1),(174,1)}
       154:{2,3,7}:{(132,1),(135,1),(175,1),(176,1)}
       155:{1,2,4,7}:{(131,1),(132,1),(133,1),(136,1),(175,1),(176,1),(177,1),(202,1)}
       156:{2,3,5,7}:{(133,1),(134,1),(137,1),(139,1),(176,1),(177,1),(178,1),(203,1)}
       157:{2,4,6,7}:{(134,1),(138,1),(140,1),(177,1),(178,1),(184,1),(204,1),(206,1)}
       158:{1,2,6}:{(135,1),(172,1),(175,1),(179,1)}
       159:{3,6}:{(136,1),(173,1),(176,1)}
       160:{2,4,6}:{(137,1),(141,1),(174,1),(177,1),(180,1),(181,1)}
       161:{2,5}:{(138,1),(142,1)}
       162:{4,7}:{(139,1),(141,1)}
       163:{3,5,7}:{(140,1),(142,1),(146,1),(178,1),(182,1),(183,1)}
       164:{4,5}:{(141,1),(142,1)}
       165:{2,3,7}:{(143,1),(144,1),(147,1),(184,1)}
       166:{3,4,7}:{(144,1),(145,1),(148,1),(184,1),(185,1)}
       167:{1,4,5,7}:{(145,1),(146,1),(149,1),(182,1),(185,1),(186,1)}
       168:{1,5,6}:{(146,1),(183,1),(186,1),(209,1)}
       169:{2,4,6}:{(147,1),(148,1),(150,1),(184,1),(187,1),(206,1)}
       170:{3,5}:{(148,1),(149,1),(187,1)}
       171:{2,3,4}:{(151,1),(188,1),(190,1)}
       172:{1,2,5}:{(151,1),(158,1),(188,1),(189,1)}
       173:{3,5}:{(152,1),(159,1),(190,1)}
       174:{2,4}:{(153,1),(190,1)}
       175:{1,2,7}:{(154,1),(158,1),(191,1)}
       176:{3,7}:{(155,1),(159,1)}
       177:{2,4,7}:{(156,1),(160,1),(162,1),(192,1)}
       178:{2,5,7}:{(157,1),(161,1),(163,1),(194,1)}
       179:{1,3,6}:{(158,1),(159,1),(189,1),(191,1),(195,1)}
       180:{3,4,6}:{(159,1),(160,1),(190,1),(192,1),(195,1),(196,1),(208,1)}
       181:{2,4,5}:{(160,1),(161,1),(164,1),(196,1)}
       182:{4,5,7}:{(162,1),(163,1),(164,1),(197,1)}
       183:{3,5,6}:{(163,1),(168,1),(194,1),(197,1),(199,1),(208,1)}
       184:{2,4,7}:{(165,1),(166,1),(169,1),(198,1)}
       185:{3,5,7}:{(166,1),(167,1),(170,1),(198,1),(199,1)}
       186:{1,4,6}:{(167,1),(168,1),(197,1),(199,1)}
       187:{2,5}:{(169,1),(170,1)}
       188:{1,2,4}:{(171,1),(172,1),(200,1),(201,1)}
       189:{1,3,5}:{(172,1),(173,1),(179,1),(200,1),(201,1),(205,1)}
       190:{3,4}:{(173,1),(174,1),(201,1)}
       191:{1,3,7}:{(175,1),(176,1),(179,1),(202,1)}
       192:{3,4,7}:{(176,1),(177,1),(180,1),(202,1),(203,1)}
       193:{2,4,5,7}:{(177,1),(178,1),(181,1),(182,1),(203,1),(204,1)}
       194:{2,5,6}:{(178,1),(183,1),(204,1),(206,1)}
       195:{1,4,6}:{(179,1),(180,1),(201,1),(202,1),(205,1),(209,1)}
       196:{3,5}:{(180,1),(181,1),(205,1)}
       197:{4,6}:{(182,1),(183,1)}
       198:{2,5,7}:{(184,1),(185,1),(187,1),(206,1)}
       199:{3,6}:{(185,1),(186,1),(206,1)}
       200:{1,3}:{(188,1)}
       201:{1,4}:{(189,1),(190,1)}
       202:{1,4,7}:{(191,1),(192,1),(195,1),(207,1)}
       203:{3,5,7}:{(192,1),(193,1),(196,1),(207,1),(208,1)}
       204:{2,4,6}:{(193,1),(194,1),(197,1),(208,1)}
       205:{1,5}:{(195,1),(196,1)}
       206:{2,6}:{(198,1),(199,1)}
       207:{1,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       208:{3,6}:{(203,1),(204,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

 564 :   0:{2,3,4,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1),(52,1),(56,1),(84,1),(90,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(69,1),(100,1),(104,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(37,1),(72,1),(101,1)}
         3:{1,3,6,7}:{(1,1),(8,1),(29,1),(113,1),(117,1)}
         4:{1,2,5,7}:{(1,1),(2,1),(8,1),(9,1),(53,1),(114,1)}
         5:{2,3,5,6}:{(2,1),(9,1),(11,1),(29,1),(32,1)}
         6:{2,4,5,7}:{(2,1),(11,1),(12,1),(84,1),(87,1)}
         7:{2,3,5,6,7}:{(5,1),(13,1),(14,1),(36,1),(37,1),(68,1),(120,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(18,1),(125,1)}
         9:{1,2,5,6}:{(4,1),(5,1),(15,1),(17,1),(47,1),(72,1)}
        10:{1,2,4,5,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(21,1),(39,1),(42,1),(46,1),(72,1),(100,1),(102,1)}
        11:{2,4,6}:{(5,1),(6,1),(20,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(66,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(9,1),(22,1),(23,1),(53,1),(81,1),(85,1),(108,1)}
        14:{2,4,6,7}:{(7,1),(11,1),(24,1),(25,1),(84,1),(129,1)}
        15:{1,3,5,6}:{(8,1),(9,1),(26,1),(29,1),(54,1)}
        16:{1,4,7}:{(8,1),(26,1),(27,1),(132,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(11,1),(26,1),(29,1),(33,1),(56,1),(61,1)}
        18:{3,5,7}:{(10,1),(27,1),(29,1),(54,1),(113,1),(115,1)}
        19:{2,4,5,6}:{(11,1),(24,1),(32,1)}
        20:{3,4,6}:{(11,1),(12,1),(29,1),(32,1),(33,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(33,1),(53,1),(83,1),(86,1)}
        22:{1,3,5,6,7}:{(13,1),(15,1),(34,1),(36,1),(63,1),(67,1),(93,1)}
        23:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(38,1),(65,1),(69,1),(100,1),(119,1)}
        24:{2,4,5,7}:{(14,1),(19,1),(37,1),(135,1)}
        25:{3,4,6,7}:{(14,1),(20,1),(36,1),(37,1),(38,1),(66,1),(134,1)}
        26:{1,4,6}:{(15,1),(16,1),(39,1),(40,1)}
        27:{3,4,7}:{(16,1),(18,1),(40,1),(42,1),(126,1)}
        28:{1,2,4,5,6}:{(17,1),(19,1),(35,1),(39,1),(43,1),(47,1),(62,1),(72,1),(75,1),(76,1),(77,1),(94,1),(102,1),(119,1),(135,1),(139,1)}
        29:{3,6}:{(17,1),(18,1)}
        30:{1,3,5,7}:{(18,1),(21,1),(41,1),(44,1),(46,1),(71,1)}
        31:{2,3,5,7}:{(18,1),(42,1),(45,1),(46,1),(72,1),(74,1),(103,1)}
        32:{3,5,6}:{(19,1),(20,1),(37,1),(47,1)}
        33:{1,4,6}:{(20,1),(21,1),(44,1),(47,1)}
        34:{1,4,6,7}:{(22,1),(26,1),(48,1),(49,1),(83,1),(106,1)}
        35:{1,2,4,5,7}:{(23,1),(24,1),(28,1),(48,1),(50,1),(53,1),(81,1),(83,1),(84,1),(85,1)}
        36:{3,6,7}:{(23,1),(29,1),(50,1),(113,1),(128,1)}
        37:{3,5,7}:{(24,1),(25,1),(32,1),(53,1),(138,1)}
        38:{1,4,6,7}:{(25,1),(33,1),(51,1),(53,1),(83,1),(137,1)}
        39:{1,4,5}:{(26,1),(54,1)}
        40:{3,4,6}:{(26,1),(27,1),(29,1),(54,1),(56,1)}
        41:{1,3,4,7}:{(27,1),(30,1),(55,1),(57,1),(83,1),(113,1)}
        42:{2,4,7}:{(27,1),(31,1),(56,1),(116,1)}
        43:{3,5,6}:{(28,1),(29,1),(50,1),(54,1),(58,1),(115,1),(128,1),(138,1)}
        44:{1,3,6}:{(29,1),(30,1),(33,1),(61,1)}
        45:{2,3,6}:{(29,1),(31,1),(56,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(57,1),(61,1),(88,1)}
        47:{1,5,6}:{(32,1),(33,1),(53,1)}
        48:{1,4,5,7}:{(34,1),(39,1),(62,1),(63,1)}
        49:{3,4,6,7}:{(34,1),(36,1),(40,1),(63,1),(65,1),(66,1),(92,1)}
        50:{3,5,7}:{(35,1),(36,1),(43,1),(66,1)}
        51:{1,3,6,7}:{(36,1),(38,1),(44,1),(67,1),(69,1),(133,1)}
        52:{2,3,6,7}:{(36,1),(45,1),(65,1),(68,1),(69,1),(118,1)}
        53:{1,5,7}:{(37,1),(38,1),(47,1),(139,1)}
        54:{3,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,6}:{(40,1),(41,1),(44,1),(71,1),(73,1),(75,1),(105,1),(126,1)}
        56:{2,4,6}:{(40,1),(42,1),(45,1),(72,1)}
        57:{1,2,4,7}:{(41,1),(42,1),(46,1),(73,1),(74,1)}
        58:{3,4,6}:{(43,1),(66,1),(70,1),(75,1),(76,1),(105,1),(126,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(47,1),(67,1),(71,1),(75,1),(77,1),(105,1),(125,1),(133,1),(139,1)}
        60:{2,3,5,6}:{(43,1),(45,1),(68,1),(72,1),(76,1),(77,1),(94,1),(101,1),(103,1),(105,1),(118,1)}
        61:{1,2,6}:{(44,1),(45,1),(46,1)}
        62:{1,4,5,6}:{(48,1),(78,1),(106,1)}
        63:{3,5,7}:{(48,1),(49,1),(54,1),(78,1),(81,1)}
        64:{1,3,4,6,7}:{(49,1),(51,1),(55,1),(80,1),(82,1),(83,1),(106,1),(113,1),(128,1),(131,1),(137,1)}
        65:{2,4,6,7}:{(49,1),(52,1),(56,1),(81,1),(84,1),(107,1)}
        66:{3,4,7}:{(50,1),(58,1),(83,1),(84,1),(113,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(59,1),(83,1),(85,1),(113,1)}
        68:{2,3,5,7}:{(50,1),(52,1),(60,1),(81,1),(84,1),(85,1),(113,1)}
        69:{1,2,6,7}:{(51,1),(52,1),(61,1),(85,1),(127,1)}
        70:{3,4,5}:{(54,1),(58,1),(86,1),(87,1),(115,1),(138,1)}
        71:{1,3,5}:{(54,1),(55,1),(86,1),(88,1),(115,1)}
        72:{2,5}:{(54,1),(56,1)}
        73:{1,2,4,6}:{(55,1),(56,1),(57,1),(61,1),(88,1),(89,1),(116,1)}
        74:{2,3,7}:{(57,1),(89,1),(113,1)}
        75:{1,4,6}:{(58,1),(59,1),(83,1),(86,1),(132,1)}
        76:{2,4,6}:{(58,1),(60,1),(84,1),(87,1),(116,1)}
        77:{1,2,5,6}:{(59,1),(60,1),(61,1),(85,1),(88,1),(91,1),(114,1),(127,1)}
        78:{3,5,6}:{(62,1),(63,1),(92,1),(94,1)}
        79:{3,4,5,7}:{(63,1),(66,1),(70,1),(92,1),(95,1),(96,1),(122,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(71,1),(93,1),(95,1),(97,1),(122,1),(139,1)}
        81:{2,5,7}:{(63,1),(65,1),(72,1),(94,1)}
        82:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(73,1),(97,1),(98,1),(100,1),(119,1),(123,1)}
        83:{1,4,7}:{(66,1),(67,1),(75,1)}
        84:{2,4,7}:{(66,1),(68,1),(76,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(77,1),(100,1)}
        86:{1,4,5}:{(70,1),(71,1),(75,1),(139,1)}
        87:{2,4,5}:{(70,1),(72,1),(76,1),(101,1)}
        88:{1,2,5}:{(71,1),(72,1),(73,1),(103,1)}
        89:{2,3,6}:{(73,1),(74,1),(103,1),(105,1)}
        90:{2,3,4,6}:{(76,1),(99,1),(101,1),(104,1),(105,1),(118,1),(126,1),(134,1)}
        91:{1,2,4,6}:{(75,1),(76,1),(77,1),(100,1),(102,1),(105,1)}
        92:{3,4,6}:{(78,1),(79,1),(106,1),(107,1),(128,1)}
        93:{1,3,5,6}:{(78,1),(80,1),(106,1),(108,1),(128,1)}
        94:{2,5,6}:{(78,1),(81,1),(107,1)}
        95:{1,4,5,7}:{(79,1),(80,1),(83,1),(86,1),(106,1)}
        96:{2,4,5,7}:{(79,1),(81,1),(84,1),(87,1),(107,1),(109,1)}
        97:{1,2,5,7}:{(80,1),(81,1),(82,1),(88,1),(108,1),(111,1)}
        98:{2,3,6,7}:{(82,1),(89,1),(111,1),(113,1),(128,1)}
        99:{2,3,4,7}:{(84,1),(90,1),(109,1),(112,1),(113,1),(131,1)}
       100:{1,2,4,7}:{(83,1),(84,1),(85,1),(91,1),(113,1)}
       101:{2,3,5}:{(87,1),(90,1),(114,1),(115,1),(138,1)}
       102:{1,2,4,5}:{(86,1),(87,1),(88,1),(91,1),(114,1),(115,1),(116,1),(132,1)}
       103:{2,3,5}:{(88,1),(89,1),(115,1),(116,1)}
       104:{1,2,4,6}:{(90,1),(112,1),(114,1),(117,1),(127,1),(132,1),(137,1)}
       105:{3,6}:{(91,1),(113,1),(115,1)}
       106:{1,4,6}:{(92,1),(93,1),(95,1)}
       107:{2,4,6}:{(92,1),(94,1),(96,1),(118,1)}
       108:{1,2,5,6}:{(93,1),(94,1),(97,1),(119,1),(120,1),(139,1)}
       109:{2,3,5,7}:{(96,1),(99,1),(101,1),(118,1),(121,1),(122,1)}
       110:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(100,1),(102,1),(119,1),(121,1),(122,1),(123,1),(135,1),(136,1),(139,1)}
       111:{2,3,5,7}:{(97,1),(98,1),(103,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,7}:{(99,1),(104,1),(121,1),(124,1),(136,1)}
       113:{3,7}:{(100,1),(105,1)}
       114:{1,2,5}:{(101,1),(104,1),(125,1),(139,1)}
       115:{3,5}:{(102,1),(105,1),(126,1)}
       116:{2,4}:{(103,1),(126,1)}
       117:{1,3,6}:{(104,1),(105,1),(124,1),(125,1)}
       118:{2,3,6}:{(107,1),(109,1),(127,1),(128,1)}
       119:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(127,1),(128,1),(129,1),(137,1)}
       120:{2,3,5,6}:{(108,1),(111,1),(128,1),(129,1),(138,1)}
       121:{1,2,5,7}:{(109,1),(112,1),(114,1),(127,1),(130,1)}
       122:{3,5,7}:{(110,1),(113,1),(115,1),(128,1),(131,1),(138,1)}
       123:{2,4,7}:{(111,1),(116,1),(129,1),(131,1)}
       124:{1,3,7}:{(112,1),(113,1),(117,1)}
       125:{1,3,5}:{(114,1),(115,1),(117,1),(132,1)}
       126:{3,4}:{(115,1),(116,1),(132,1)}
       127:{1,2,6}:{(118,1),(121,1),(133,1)}
       128:{3,6}:{(119,1),(122,1)}
       129:{2,4,6}:{(120,1),(123,1),(134,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(124,1),(125,1),(133,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(126,1),(134,1),(136,1)}
       132:{1,4}:{(125,1),(126,1)}
       133:{1,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{3,4,6}:{(128,1),(129,1),(131,1),(137,1),(138,1)}
       135:{2,4,5}:{(129,1),(138,1)}
       136:{1,4,7}:{(130,1),(131,1),(132,1),(137,1)}
       137:{1,4,6}:{(133,1),(134,1),(136,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

 565 :  0:{1,2,6,7}:{(3,1),(5,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(38,1),(39,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(17,1),(20,1),(21,1),(25,1),(38,1),(39,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{3,5,6}:{(1,1),(9,1),(10,1),(13,1),(26,1),(28,1),(45,1)}
        5:{1,2,5,7}:{(0,1),(1,1),(9,1),(12,1),(46,1),(47,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(30,1),(31,1),(35,1)}
        7:{3,5}:{(2,1),(11,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(18,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(18,1),(22,1)}
       10:{4,6}:{(4,1),(17,1),(18,1)}
       11:{3,4}:{(7,1),(20,1),(21,1),(43,1)}
       12:{1,2,4,7}:{(5,1),(6,1),(18,1),(22,1),(40,1),(41,1),(44,1)}
       13:{3,6}:{(6,1),(7,1),(22,1)}
       14:{1,3,5}:{(7,1),(20,1),(23,1),(25,1),(38,1),(43,1),(54,1)}
       15:{2,3,5}:{(7,1),(21,1),(24,1),(25,1),(39,1),(43,1),(54,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,5}:{(10,1),(28,1),(58,1)}
       18:{4,7}:{(9,1),(10,1)}
       19:{3,4,6}:{(10,1),(11,1),(13,1),(28,1),(29,1),(30,1),(31,1),(45,1),(50,1),(58,1),(61,1)}
       20:{1,4}:{(11,1),(14,1),(58,1)}
       21:{2,4}:{(11,1),(15,1),(58,1)}
       22:{3,7}:{(12,1),(13,1)}
       23:{1,3,6}:{(13,1),(14,1),(30,1),(33,1),(35,1),(50,1)}
       24:{2,3,6}:{(13,1),(15,1),(31,1),(34,1),(35,1),(50,1)}
       25:{1,2,5}:{(14,1),(15,1),(32,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(18,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,5}:{(17,1),(19,1),(38,1),(39,1),(62,1)}
       29:{3,4,7}:{(18,1),(19,1),(22,1),(37,1),(40,1),(41,1),(55,1),(60,1)}
       30:{1,4,6}:{(19,1),(20,1),(23,1),(38,1),(40,1),(51,1)}
       31:{2,4,6}:{(19,1),(21,1),(24,1),(39,1),(41,1),(52,1)}
       32:{1,2,4}:{(20,1),(21,1),(25,1),(43,1)}
       33:{1,3,7}:{(22,1),(23,1),(40,1),(44,1),(55,1)}
       34:{2,3,7}:{(22,1),(24,1),(41,1),(44,1),(55,1)}
       35:{1,2,6}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(45,1),(46,1),(47,1)}
       38:{1,5}:{(28,1),(30,1)}
       39:{2,5}:{(28,1),(31,1)}
       40:{1,4,7}:{(29,1),(30,1),(33,1),(46,1)}
       41:{2,4,7}:{(29,1),(31,1),(34,1),(47,1)}
       42:{1,2,4,6}:{(30,1),(31,1),(32,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       43:{3}:{(32,1)}
       44:{1,2,7}:{(33,1),(34,1),(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(40,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(41,1),(52,1)}
       48:{1,2,5}:{(38,1),(39,1),(42,1),(54,1),(62,1)}
       49:{1,2,4,7}:{(40,1),(41,1),(42,1),(44,1),(53,1),(55,1),(60,1)}
       50:{3,6}:{(42,1),(43,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,5}:{(48,1),(50,1),(58,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(54,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 566 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(13,1),(14,1),(35,1),(36,1),(37,1),(41,1),(65,1),(66,1),(68,1),(71,1),(99,1),(100,1)}
         1:{3,5,7}:{(0,1),(3,1),(7,1),(22,1),(85,1),(88,1)}
         2:{1,2,4,6}:{(0,1),(7,1),(8,1),(20,1),(21,1),(26,1),(29,1),(78,1),(79,1),(109,1),(110,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(11,1),(33,1),(41,1),(101,1)}
         4:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(30,1),(31,1),(38,1),(41,1),(71,1),(134,1)}
         5:{1,3,5,7}:{(1,1),(9,1),(14,1),(15,1),(33,1),(35,1),(67,1),(100,1),(102,1),(104,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(14,1),(16,1),(33,1),(36,1),(67,1),(99,1),(103,1),(105,1)}
         7:{3,6}:{(1,1),(2,1)}
         8:{1,2,5,6}:{(2,1),(13,1),(17,1),(35,1),(36,1),(60,1),(61,1)}
         9:{1,4,7}:{(3,1),(5,1),(20,1),(84,1),(114,1)}
        10:{2,4,7}:{(3,1),(6,1),(21,1),(84,1),(115,1)}
        11:{3,4,6}:{(3,1),(7,1),(20,1),(21,1),(22,1),(29,1),(50,1),(84,1)}
        12:{3,6,7}:{(4,1),(7,1),(25,1),(88,1),(137,1)}
        13:{1,2,5,7}:{(4,1),(8,1),(25,1),(47,1),(48,1),(136,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(19,1),(26,1),(51,1),(116,1),(117,1)}
        15:{1,3,6}:{(5,1),(7,1),(20,1),(26,1),(50,1),(110,1)}
        16:{2,3,6}:{(6,1),(7,1),(21,1),(26,1),(50,1),(109,1)}
        17:{3,5,6}:{(7,1),(8,1),(22,1),(25,1),(29,1)}
        18:{3,4,6,7}:{(11,1),(12,1),(30,1),(31,1),(32,1),(41,1),(62,1),(63,1),(72,1),(73,1),(95,1),(96,1),(97,1),(119,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(14,1),(33,1),(34,1),(125,1)}
        20:{1,4,6}:{(9,1),(11,1),(15,1),(35,1)}
        21:{2,4,6}:{(10,1),(11,1),(16,1),(36,1)}
        22:{3,5}:{(11,1),(35,1),(36,1),(37,1)}
        23:{1,3,6,7}:{(12,1),(15,1),(30,1),(38,1),(39,1),(63,1),(95,1),(104,1),(120,1)}
        24:{2,3,6,7}:{(12,1),(16,1),(31,1),(38,1),(40,1),(63,1),(96,1),(105,1),(121,1)}
        25:{3,5,7}:{(12,1),(13,1),(17,1),(41,1),(138,1)}
        26:{1,2,6}:{(14,1),(15,1),(16,1)}
        27:{1,3,5,6}:{(15,1),(17,1),(35,1),(39,1),(42,1),(43,1),(60,1),(67,1),(69,1),(74,1),(93,1),(95,1),(102,1),(120,1),(132,1),(138,1)}
        28:{2,3,5,6}:{(16,1),(17,1),(36,1),(40,1),(42,1),(44,1),(61,1),(67,1),(70,1),(74,1),(93,1),(96,1),(103,1),(121,1),(133,1),(138,1)}
        29:{4,6}:{(17,1),(37,1),(41,1)}
        30:{1,4,6,7}:{(18,1),(20,1),(23,1),(47,1),(55,1),(78,1),(90,1),(110,1),(127,1)}
        31:{2,4,6,7}:{(18,1),(21,1),(24,1),(48,1),(56,1),(79,1),(89,1),(109,1),(128,1)}
        32:{3,5,7}:{(18,1),(22,1),(45,1),(47,1),(48,1),(49,1),(126,1)}
        33:{3,7}:{(19,1),(50,1),(131,1)}
        34:{1,2,4,6}:{(19,1),(20,1),(21,1),(26,1),(50,1),(51,1),(84,1)}
        35:{1,5}:{(20,1),(22,1)}
        36:{2,5}:{(21,1),(22,1)}
        37:{4,5}:{(22,1),(29,1),(84,1)}
        38:{1,2,6,7}:{(23,1),(24,1),(26,1),(54,1),(109,1),(110,1),(117,1),(129,1)}
        39:{1,3,5,7}:{(23,1),(25,1),(27,1),(47,1),(54,1),(55,1),(80,1),(82,1),(88,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(28,1),(48,1),(54,1),(56,1),(80,1),(83,1),(88,1)}
        41:{4,7}:{(25,1),(29,1),(139,1)}
        42:{1,2,5,6}:{(26,1),(27,1),(28,1),(51,1),(54,1),(57,1),(86,1),(87,1),(109,1),(110,1),(116,1),(129,1),(136,1)}
        43:{1,4,6}:{(27,1),(29,1),(52,1),(55,1),(58,1),(84,1),(107,1),(114,1),(139,1)}
        44:{2,4,6}:{(28,1),(29,1),(53,1),(56,1),(59,1),(84,1),(107,1),(115,1),(139,1)}
        45:{3,5,6}:{(32,1),(60,1),(61,1),(62,1),(95,1),(96,1)}
        46:{1,2,4,6,7}:{(30,1),(31,1),(34,1),(38,1),(63,1),(64,1),(71,1),(94,1),(97,1)}
        47:{1,5,7}:{(30,1),(32,1),(35,1),(60,1),(132,1)}
        48:{2,5,7}:{(31,1),(32,1),(36,1),(61,1),(133,1)}
        49:{4,5,7}:{(32,1),(37,1),(41,1),(62,1),(97,1),(118,1)}
        50:{3,6}:{(33,1),(34,1),(67,1)}
        51:{1,2,5}:{(34,1),(35,1),(36,1),(67,1)}
        52:{1,4,5}:{(35,1),(37,1),(43,1),(69,1),(118,1),(132,1)}
        53:{2,4,5}:{(36,1),(37,1),(44,1),(70,1),(118,1),(133,1)}
        54:{1,2,5,7}:{(38,1),(39,1),(40,1),(42,1),(71,1),(99,1),(100,1)}
        55:{1,4,7}:{(39,1),(41,1),(43,1),(72,1),(97,1)}
        56:{2,4,7}:{(40,1),(41,1),(44,1),(73,1),(97,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(44,1),(68,1),(71,1),(74,1),(75,1),(76,1),(106,1),(125,1)}
        58:{3,4,6}:{(43,1),(69,1),(72,1),(74,1),(75,1),(95,1),(101,1)}
        59:{3,4,6}:{(44,1),(70,1),(73,1),(74,1),(76,1),(96,1),(101,1)}
        60:{1,5,6}:{(45,1),(47,1),(78,1),(110,1)}
        61:{2,5,6}:{(45,1),(48,1),(79,1),(109,1)}
        62:{4,6}:{(45,1),(49,1)}
        63:{3,6,7}:{(46,1),(50,1),(80,1),(88,1),(108,1)}
        64:{1,2,5,7}:{(46,1),(47,1),(48,1),(51,1),(77,1),(80,1)}
        65:{1,4,5,7}:{(47,1),(49,1),(52,1),(55,1),(78,1),(82,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(53,1),(56,1),(79,1),(83,1)}
        67:{3,5}:{(50,1),(51,1),(84,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(53,1),(57,1),(84,1),(85,1),(86,1),(87,1),(114,1),(115,1),(116,1),(136,1),(139,1)}
        69:{3,5}:{(52,1),(58,1),(86,1)}
        70:{3,5}:{(53,1),(59,1),(87,1)}
        71:{1,2,4,7}:{(54,1),(55,1),(56,1),(57,1),(88,1),(89,1),(90,1),(117,1)}
        72:{3,4,7}:{(55,1),(58,1),(82,1),(88,1),(89,1)}
        73:{3,4,7}:{(56,1),(59,1),(83,1),(88,1),(90,1)}
        74:{3,6}:{(57,1),(85,1),(88,1),(131,1)}
        75:{2,4,6}:{(58,1),(86,1),(89,1),(92,1),(109,1),(115,1)}
        76:{1,4,6}:{(59,1),(87,1),(90,1),(91,1),(110,1),(114,1)}
        77:{1,2,5,6}:{(60,1),(61,1),(64,1),(93,1),(94,1),(132,1),(133,1)}
        78:{1,4,6}:{(60,1),(62,1),(65,1),(95,1)}
        79:{2,4,6}:{(61,1),(62,1),(66,1),(96,1)}
        80:{3,5,7}:{(63,1),(64,1),(67,1),(93,1),(97,1)}
        81:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(68,1),(71,1),(94,1),(97,1),(98,1),(99,1),(100,1),(118,1),(122,1),(123,1),(124,1),(132,1),(133,1)}
        82:{3,5,7}:{(65,1),(69,1),(72,1),(95,1),(99,1)}
        83:{3,5,7}:{(66,1),(70,1),(73,1),(96,1),(100,1)}
        84:{4}:{(67,1)}
        85:{3,5}:{(68,1),(74,1),(101,1)}
        86:{2,5}:{(69,1),(75,1)}
        87:{1,5}:{(70,1),(76,1)}
        88:{3,7}:{(71,1),(74,1)}
        89:{2,4,7}:{(72,1),(75,1),(99,1),(105,1)}
        90:{1,4,7}:{(73,1),(76,1),(100,1),(104,1)}
        91:{1,3,6}:{(74,1),(76,1),(102,1),(104,1),(106,1)}
        92:{2,3,6}:{(74,1),(75,1),(103,1),(105,1),(106,1)}
        93:{3,5,6}:{(77,1),(80,1),(107,1),(108,1),(126,1)}
        94:{1,2,4,6}:{(77,1),(78,1),(79,1),(81,1),(107,1),(108,1),(109,1),(110,1),(127,1),(128,1),(129,1)}
        95:{3,6}:{(78,1),(82,1),(109,1)}
        96:{3,6}:{(79,1),(83,1),(110,1)}
        97:{4,7}:{(80,1),(84,1),(107,1)}
        98:{3,5,7}:{(81,1),(85,1),(88,1),(108,1),(111,1),(126,1)}
        99:{2,5,7}:{(82,1),(86,1),(89,1),(109,1)}
       100:{1,5,7}:{(83,1),(87,1),(90,1),(110,1)}
       101:{3,4}:{(84,1),(85,1),(114,1),(115,1),(131,1),(139,1)}
       102:{1,3,5}:{(85,1),(87,1),(91,1),(114,1),(116,1),(131,1)}
       103:{2,3,5}:{(85,1),(86,1),(92,1),(115,1),(116,1),(131,1)}
       104:{1,3,7}:{(88,1),(90,1),(91,1),(117,1)}
       105:{2,3,7}:{(88,1),(89,1),(92,1),(117,1)}
       106:{1,2,6}:{(91,1),(92,1),(116,1),(117,1)}
       107:{4,6}:{(93,1),(97,1),(118,1)}
       108:{3,6}:{(94,1),(98,1)}
       109:{2,6}:{(95,1),(99,1)}
       110:{1,6}:{(96,1),(100,1)}
       111:{3,4,7}:{(97,1),(98,1),(101,1),(119,1),(122,1),(123,1),(135,1)}
       112:{1,3,5,7}:{(98,1),(100,1),(102,1),(104,1),(120,1),(122,1),(124,1),(132,1),(135,1),(138,1)}
       113:{2,3,5,7}:{(98,1),(99,1),(103,1),(105,1),(121,1),(123,1),(124,1),(133,1),(135,1),(138,1)}
       114:{1,4}:{(101,1),(102,1)}
       115:{2,4}:{(101,1),(103,1)}
       116:{1,2,5}:{(102,1),(103,1),(106,1),(125,1)}
       117:{1,2,7}:{(104,1),(105,1),(106,1)}
       118:{4,5}:{(107,1),(126,1),(139,1)}
       119:{3,4,6}:{(107,1),(108,1),(111,1),(126,1),(127,1),(128,1),(137,1),(139,1)}
       120:{1,3,6}:{(108,1),(110,1),(112,1),(127,1),(129,1),(137,1)}
       121:{2,3,6}:{(108,1),(109,1),(113,1),(128,1),(129,1),(137,1)}
       122:{1,4,7}:{(111,1),(112,1),(114,1),(127,1),(139,1)}
       123:{2,4,7}:{(111,1),(113,1),(115,1),(128,1),(139,1)}
       124:{1,2,5,7}:{(112,1),(113,1),(116,1),(117,1),(129,1),(130,1),(136,1)}
       125:{1,2,4}:{(114,1),(115,1),(116,1),(131,1)}
       126:{3,5}:{(118,1),(119,1),(132,1),(133,1)}
       127:{1,4,6}:{(119,1),(120,1),(122,1),(132,1)}
       128:{2,4,6}:{(119,1),(121,1),(123,1),(133,1)}
       129:{1,2,6}:{(120,1),(121,1),(124,1)}
       130:{1,2,4,7}:{(122,1),(123,1),(124,1),(125,1),(134,1),(135,1)}
       131:{3}:{(125,1)}
       132:{1,5}:{(126,1),(127,1)}
       133:{2,5}:{(126,1),(128,1)}
       134:{1,2,4,6}:{(127,1),(128,1),(129,1),(130,1),(136,1),(137,1),(139,1)}
       135:{3,7}:{(130,1),(131,1),(137,1)}
       136:{1,2,5}:{(132,1),(133,1),(134,1),(138,1)}
       137:{3,6}:{(134,1),(135,1),(138,1)}
       138:{3,5}:{(136,1),(137,1),(139,1)}
       139:{4}:{(138,1)}

 567 :   0:{1,4,5,6}:{(1,1),(2,1),(13,1),(91,1),(93,1)}
         1:{3,5,6}:{(0,1),(4,1),(6,1),(7,1)}
         2:{1,4,5,7}:{(0,1),(7,1),(8,1),(30,1),(76,1),(78,1)}
         3:{1,3,4,6}:{(10,1),(11,1),(12,1),(13,1),(45,1),(49,1),(88,1),(96,1),(139,1)}
         4:{3,4,6}:{(1,1),(9,1),(13,1),(14,1),(15,1),(49,1)}
         5:{1,3,5,6}:{(1,1),(10,1),(13,1),(16,1),(17,1),(45,1),(49,1),(91,1),(140,1)}
         6:{2,5,6}:{(1,1),(14,1),(18,1)}
         7:{3,5,7}:{(1,1),(2,1),(15,1),(18,1),(19,1)}
         8:{1,4,6,7}:{(2,1),(19,1),(20,1),(58,1)}
         9:{3,4,5}:{(4,1),(21,1),(22,1),(62,1)}
        10:{1,3,5}:{(3,1),(21,1),(24,1),(62,1),(120,1),(160,1)}
        11:{1,2,4,6}:{(3,1),(24,1),(26,1),(27,1),(67,1),(69,1),(119,1)}
        12:{1,3,4,7}:{(3,1),(25,1),(27,1),(30,1),(74,1),(115,1),(121,1),(203,1)}
        13:{1,4,6}:{(4,1),(5,1),(21,1),(30,1),(161,1)}
        14:{2,4,6}:{(4,1),(6,1),(22,1),(28,1),(31,1)}
        15:{3,4,7}:{(4,1),(7,1),(30,1),(31,1),(74,1)}
        16:{1,2,5,6}:{(5,1),(6,1),(24,1),(29,1),(33,1),(34,1),(69,1),(120,1),(163,1)}
        17:{1,3,5,7}:{(5,1),(7,1),(30,1),(34,1),(35,1),(74,1),(76,1),(127,1)}
        18:{2,5,7}:{(6,1),(7,1),(31,1),(36,1)}
        19:{3,6,7}:{(7,1),(8,1),(36,1)}
        20:{1,5,6,7}:{(8,1),(37,1),(76,1),(131,1)}
        21:{1,4,5}:{(9,1),(10,1),(13,1),(177,1)}
        22:{2,4,5}:{(9,1),(14,1),(38,1)}
        23:{3,4,5,7}:{(9,1),(15,1),(40,1),(41,1),(42,1),(53,1),(89,1),(147,1),(150,1),(172,1),(177,1)}
        24:{1,2,5}:{(10,1),(11,1),(43,1),(142,1)}
        25:{1,3,5,7}:{(10,1),(12,1),(40,1),(44,1),(45,1),(89,1),(143,1),(181,1),(196,1)}
        26:{2,3,6}:{(11,1),(43,1),(46,1),(49,1)}
        27:{1,2,4,7}:{(11,1),(12,1),(44,1),(46,1),(94,1),(208,1)}
        28:{2,3,6}:{(14,1),(38,1),(47,1),(48,1),(49,1)}
        29:{1,2,4,6}:{(13,1),(14,1),(16,1),(39,1),(47,1),(49,1),(50,1),(54,1),(96,1)}
        30:{1,4,7}:{(13,1),(15,1),(17,1),(150,1)}
        31:{2,4,7}:{(14,1),(15,1),(18,1),(48,1)}
        32:{3,4,6,7}:{(15,1),(19,1),(42,1),(51,1),(52,1),(53,1),(58,1),(102,1),(107,1),(147,1),(150,1)}
        33:{2,3,5,6}:{(16,1),(43,1),(49,1),(54,1),(55,1),(95,1),(100,1),(140,1),(142,1),(148,1),(152,1)}
        34:{1,2,5,7}:{(16,1),(17,1),(18,1),(50,1),(55,1),(56,1),(143,1)}
        35:{1,3,6,7}:{(17,1),(19,1),(45,1),(51,1),(56,1),(102,1),(181,1)}
        36:{2,6,7}:{(18,1),(19,1)}
        37:{3,5,6,7}:{(19,1),(20,1),(53,1),(57,1),(58,1),(107,1)}
        38:{2,3,5}:{(22,1),(28,1),(59,1),(60,1),(62,1)}
        39:{1,2,4,5}:{(21,1),(22,1),(24,1),(29,1),(60,1),(62,1),(67,1),(79,1),(111,1),(120,1)}
        40:{1,4,5,7}:{(21,1),(23,1),(25,1),(30,1),(64,1),(76,1),(167,1),(186,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(31,1),(61,1),(65,1),(77,1),(124,1),(155,1)}
        42:{3,4,6}:{(23,1),(64,1),(65,1),(66,1),(116,1),(161,1)}
        43:{2,3,5}:{(24,1),(26,1),(62,1),(67,1)}
        44:{1,2,5,7}:{(24,1),(25,1),(27,1),(68,1),(69,1),(194,1),(205,1)}
        45:{1,3,6}:{(25,1),(64,1),(69,1),(116,1),(163,1)}
        46:{2,3,7}:{(26,1),(27,1),(74,1),(209,1)}
        47:{1,2,6}:{(28,1),(60,1),(70,1),(71,1)}
        48:{2,3,7}:{(28,1),(31,1),(71,1),(74,1)}
        49:{3,6}:{(29,1),(62,1),(74,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(71,1),(74,1),(80,1),(121,1)}
        51:{1,4,6,7}:{(30,1),(32,1),(35,1),(64,1),(76,1),(131,1),(167,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(36,1),(65,1),(72,1),(77,1),(124,1)}
        53:{3,5,7}:{(32,1),(66,1),(76,1),(77,1),(78,1)}
        54:{2,4,6}:{(33,1),(67,1),(73,1),(79,1),(80,1),(161,1)}
        55:{2,3,5,7}:{(33,1),(34,1),(74,1),(80,1),(81,1),(125,1),(127,1),(130,1)}
        56:{1,2,6,7}:{(34,1),(35,1),(36,1),(69,1),(81,1),(163,1),(194,1)}
        57:{2,5,6,7}:{(36,1),(37,1),(77,1),(82,1)}
        58:{4,6,7}:{(37,1),(78,1)}
        59:{2,3,4}:{(38,1),(83,1),(88,1)}
        60:{1,2,5}:{(38,1),(47,1),(83,1),(85,1)}
        61:{2,3,5,7}:{(38,1),(41,1),(48,1),(84,1),(86,1),(87,1),(89,1),(134,1),(202,1)}
        62:{3,5}:{(39,1),(49,1),(88,1)}
        63:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(44,1),(50,1),(86,1),(89,1),(90,1),(94,1),(103,1),(105,1),(135,1),(142,1),(143,1),(146,1),(150,1),(171,1),(173,1),(177,1),(179,1),(202,1)}
        64:{1,4,6}:{(40,1),(42,1),(45,1),(91,1)}
        65:{2,4,6}:{(41,1),(42,1),(87,1),(92,1)}
        66:{3,5,6}:{(42,1),(53,1),(91,1),(92,1),(93,1)}
        67:{2,4}:{(43,1),(88,1)}
        68:{2,3,5,7}:{(43,1),(44,1),(46,1),(89,1),(94,1),(95,1),(142,1),(182,1),(197,1),(202,1)}
        69:{1,2,6}:{(44,1),(45,1),(95,1)}
        70:{1,3,6}:{(47,1),(49,1),(85,1),(96,1),(97,1)}
        71:{1,2,7}:{(47,1),(48,1),(97,1)}
        72:{2,3,6,7}:{(48,1),(52,1),(87,1),(98,1),(99,1),(102,1),(107,1)}
        73:{3,4,6}:{(49,1),(54,1),(88,1),(96,1),(100,1),(101,1),(148,1)}
        74:{3,7}:{(49,1),(50,1)}
        75:{1,2,4,6,7}:{(50,1),(51,1),(52,1),(56,1),(90,1),(98,1),(102,1),(103,1),(106,1),(144,1),(146,1),(150,1)}
        76:{1,5,7}:{(51,1),(53,1),(91,1)}
        77:{2,5,7}:{(52,1),(53,1),(92,1)}
        78:{4,5,7}:{(53,1),(58,1),(93,1),(150,1)}
        79:{2,4,5}:{(54,1),(100,1),(142,1),(177,1)}
        80:{2,4,7}:{(54,1),(55,1),(101,1),(150,1)}
        81:{2,3,6,7}:{(55,1),(56,1),(95,1),(102,1),(106,1),(148,1),(182,1)}
        82:{2,4,6,7}:{(57,1),(58,1),(104,1),(107,1)}
        83:{1,2,4}:{(59,1),(60,1),(108,1),(111,1)}
        84:{2,3,4,7}:{(59,1),(61,1),(109,1),(110,1),(115,1),(124,1),(166,1),(193,1)}
        85:{1,3,5}:{(60,1),(62,1),(70,1),(108,1),(111,1),(120,1)}
        86:{1,2,5,7}:{(60,1),(61,1),(71,1),(109,1),(112,1),(113,1),(154,1)}
        87:{2,3,6}:{(61,1),(65,1),(113,1),(116,1),(207,1)}
        88:{3,4}:{(62,1),(67,1),(111,1)}
        89:{3,5,7}:{(62,1),(63,1),(74,1),(115,1),(116,1),(160,1),(166,1),(185,1)}
        90:{1,2,4,6}:{(63,1),(64,1),(65,1),(69,1),(113,1),(116,1),(117,1),(119,1),(129,1),(156,1),(161,1),(163,1),(191,1),(207,1)}
        91:{1,5,6}:{(64,1),(66,1),(76,1)}
        92:{2,5,6}:{(65,1),(66,1),(77,1)}
        93:{4,5,6}:{(66,1),(78,1),(161,1)}
        94:{2,4,7}:{(67,1),(68,1),(115,1),(119,1),(204,1)}
        95:{2,3,6}:{(68,1),(69,1),(116,1),(119,1),(207,1)}
        96:{1,4,6}:{(70,1),(73,1),(111,1),(120,1),(121,1),(163,1)}
        97:{1,3,7}:{(70,1),(71,1),(74,1),(121,1)}
        98:{1,2,6,7}:{(71,1),(72,1),(113,1),(122,1),(123,1),(131,1),(207,1)}
        99:{2,3,5,7}:{(72,1),(77,1),(114,1),(123,1),(124,1),(127,1),(128,1),(166,1)}
       100:{3,5}:{(73,1),(79,1),(120,1)}
       101:{3,4,7}:{(73,1),(74,1),(80,1),(121,1),(125,1)}
       102:{3,6,7}:{(74,1),(75,1),(116,1),(127,1),(166,1)}
       103:{1,2,5,7}:{(75,1),(76,1),(77,1),(117,1),(127,1),(130,1),(164,1)}
       104:{2,4,5,7}:{(77,1),(78,1),(82,1),(118,1),(124,1),(128,1)}
       105:{2,4,5,7}:{(79,1),(80,1),(125,1),(129,1),(130,1),(169,1)}
       106:{2,4,6,7}:{(80,1),(81,1),(119,1),(126,1),(129,1),(130,1),(193,1),(207,1)}
       107:{3,6,7}:{(82,1),(128,1),(131,1)}
       108:{1,3}:{(83,1)}
       109:{1,2,4,7}:{(83,1),(84,1),(86,1),(132,1),(133,1),(135,1)}
       110:{2,3,4,6}:{(84,1),(87,1),(133,1),(134,1),(138,1),(139,1),(175,1),(195,1),(199,1)}
       111:{1,4}:{(85,1),(88,1)}
       112:{1,3,5,7}:{(85,1),(86,1),(89,1),(97,1),(132,1),(135,1),(136,1),(143,1),(170,1),(173,1)}
       113:{1,2,6}:{(86,1),(87,1),(136,1)}
       114:{2,3,5,6}:{(87,1),(92,1),(99,1),(134,1),(137,1),(138,1),(140,1),(141,1),(175,1)}
       115:{3,4,7}:{(88,1),(89,1),(94,1),(135,1),(139,1),(150,1),(195,1)}
       116:{3,6}:{(89,1),(90,1)}
       117:{1,2,5,6}:{(90,1),(91,1),(92,1),(103,1),(140,1),(142,1),(152,1),(173,1),(178,1)}
       118:{2,4,5,6}:{(92,1),(93,1),(104,1),(138,1),(141,1)}
       119:{2,4,6}:{(94,1),(95,1),(139,1),(142,1)}
       120:{1,5}:{(96,1),(100,1)}
       121:{1,4,7}:{(96,1),(97,1),(101,1),(143,1)}
       122:{1,3,6,7}:{(97,1),(98,1),(102,1),(136,1),(144,1),(145,1),(201,1)}
       123:{1,2,5,7}:{(98,1),(99,1),(137,1),(145,1),(146,1),(151,1),(202,1)}
       124:{2,4,7}:{(99,1),(138,1),(147,1),(150,1)}
       125:{3,5,7}:{(100,1),(101,1),(105,1),(143,1),(148,1)}
       126:{3,4,6,7}:{(101,1),(102,1),(106,1),(139,1),(144,1),(148,1),(149,1),(150,1),(180,1),(183,1),(201,1)}
       127:{3,5,7}:{(102,1),(103,1),(140,1),(150,1)}
       128:{3,5,7}:{(104,1),(107,1),(141,1),(147,1),(151,1)}
       129:{2,4,6}:{(105,1),(148,1),(152,1),(183,1)}
       130:{2,5,7}:{(106,1),(142,1),(149,1),(152,1)}
       131:{1,6,7}:{(107,1),(151,1)}
       132:{1,3,7}:{(108,1),(109,1),(153,1),(166,1)}
       133:{1,2,4,6}:{(109,1),(110,1),(113,1),(153,1),(154,1),(156,1),(184,1)}
       134:{2,3,5}:{(110,1),(154,1),(155,1),(160,1),(185,1),(206,1)}
       135:{1,4,7}:{(111,1),(112,1),(115,1),(156,1),(184,1)}
       136:{1,3,6}:{(112,1),(113,1),(116,1),(156,1),(163,1)}
       137:{1,2,5,6}:{(113,1),(114,1),(123,1),(154,1),(157,1),(158,1),(162,1),(206,1),(207,1)}
       138:{2,4,6}:{(114,1),(124,1),(155,1),(159,1),(161,1)}
       139:{3,4,6}:{(115,1),(116,1),(119,1),(156,1),(160,1),(161,1)}
       140:{3,5,6}:{(116,1),(117,1),(127,1),(160,1),(161,1)}
       141:{3,5,6}:{(118,1),(128,1),(159,1),(162,1)}
       142:{2,5}:{(119,1),(160,1)}
       143:{1,5,7}:{(120,1),(121,1),(125,1),(163,1)}
       144:{1,4,6,7}:{(121,1),(122,1),(126,1),(156,1),(163,1),(164,1),(165,1),(191,1)}
       145:{1,3,5,7}:{(122,1),(123,1),(127,1),(157,1),(164,1),(165,1),(166,1),(192,1)}
       146:{1,2,4,7}:{(123,1),(124,1),(158,1),(165,1),(166,1),(167,1),(193,1),(194,1)}
       147:{3,4,7}:{(124,1),(128,1),(159,1),(166,1),(167,1)}
       148:{3,6}:{(125,1),(129,1),(163,1)}
       149:{3,5,7}:{(126,1),(130,1),(160,1),(164,1),(168,1),(169,1)}
       150:{4,7}:{(127,1),(161,1)}
       151:{1,5,7}:{(128,1),(131,1),(162,1),(167,1)}
       152:{2,5,6}:{(129,1),(130,1),(168,1),(207,1)}
       153:{1,3,6}:{(132,1),(133,1),(170,1),(175,1)}
       154:{1,2,5}:{(133,1),(134,1),(170,1),(173,1)}
       155:{2,4,5}:{(134,1),(138,1),(172,1),(177,1)}
       156:{1,4,6}:{(135,1),(136,1),(139,1),(173,1)}
       157:{1,3,5,6}:{(136,1),(137,1),(140,1),(145,1),(170,1),(173,1),(174,1),(175,1),(178,1),(198,1),(201,1)}
       158:{1,2,4,6}:{(137,1),(138,1),(146,1),(171,1),(174,1),(175,1),(176,1),(199,1),(200,1)}
       159:{3,4,6}:{(138,1),(141,1),(147,1),(172,1),(175,1),(176,1)}
       160:{3,5}:{(139,1),(142,1),(173,1),(177,1)}
       161:{4,6}:{(140,1),(150,1),(177,1)}
       162:{1,5,6}:{(141,1),(151,1),(176,1)}
       163:{1,6}:{(143,1),(148,1)}
       164:{1,5,7}:{(144,1),(149,1),(173,1),(178,1)}
       165:{1,4,7}:{(145,1),(150,1),(174,1),(180,1)}
       166:{3,7}:{(146,1),(175,1)}
       167:{1,4,7}:{(147,1),(151,1),(176,1),(181,1)}
       168:{3,5,6}:{(148,1),(149,1),(152,1),(178,1),(183,1),(201,1)}
       169:{4,5,7}:{(149,1),(150,1),(177,1),(183,1)}
       170:{1,3,5}:{(153,1),(154,1),(184,1),(185,1)}
       171:{1,2,4,5}:{(154,1),(155,1),(158,1),(184,1),(185,1),(186,1),(187,1),(204,1),(205,1),(206,1)}
       172:{3,4,5}:{(155,1),(159,1),(185,1),(186,1)}
       173:{1,5}:{(156,1),(160,1)}
       174:{1,4,6}:{(157,1),(161,1),(165,1),(184,1),(187,1),(188,1)}
       175:{3,6}:{(158,1),(166,1),(185,1)}
       176:{1,4,6}:{(159,1),(162,1),(167,1),(186,1),(189,1)}
       177:{4,5}:{(160,1),(161,1)}
       178:{1,5,6}:{(163,1),(164,1),(168,1),(191,1)}
       179:{1,4,5,7}:{(164,1),(165,1),(169,1),(187,1),(191,1),(192,1)}
       180:{3,4,7}:{(165,1),(166,1),(188,1),(192,1),(193,1)}
       181:{1,3,7}:{(166,1),(167,1),(189,1),(194,1)}
       182:{2,3,7}:{(166,1),(190,1),(193,1),(194,1)}
       183:{4,6}:{(168,1),(169,1)}
       184:{1,4}:{(170,1),(195,1)}
       185:{3,5}:{(171,1),(175,1),(195,1)}
       186:{1,4,5}:{(172,1),(176,1),(196,1)}
       187:{1,4,5}:{(173,1),(174,1),(177,1),(198,1)}
       188:{3,4,6}:{(174,1),(175,1),(180,1),(195,1),(198,1),(199,1),(201,1)}
       189:{1,3,6}:{(175,1),(176,1),(181,1),(196,1),(200,1)}
       190:{2,3,6}:{(175,1),(182,1),(197,1),(199,1),(200,1)}
       191:{1,4,6}:{(178,1),(179,1),(183,1),(201,1)}
       192:{3,5,7}:{(179,1),(180,1),(198,1),(201,1),(202,1)}
       193:{2,4,7}:{(180,1),(182,1),(199,1),(202,1)}
       194:{1,2,7}:{(181,1),(182,1),(200,1)}
       195:{3,4}:{(184,1),(185,1),(204,1)}
       196:{1,3,5}:{(185,1),(186,1),(189,1),(203,1),(205,1)}
       197:{2,3,5}:{(185,1),(190,1),(204,1),(205,1),(206,1),(209,1)}
       198:{3,5}:{(187,1),(188,1),(206,1)}
       199:{2,4,6}:{(188,1),(190,1),(193,1),(204,1),(206,1),(207,1)}
       200:{1,2,6}:{(189,1),(190,1),(194,1),(205,1)}
       201:{3,6}:{(191,1),(192,1),(207,1)}
       202:{2,5,7}:{(192,1),(193,1),(206,1),(207,1)}
       203:{1,3,4}:{(195,1),(196,1),(208,1)}
       204:{2,4}:{(195,1),(197,1)}
       205:{1,2,5}:{(196,1),(197,1),(200,1),(208,1)}
       206:{2,5}:{(198,1),(199,1)}
       207:{2,6}:{(201,1),(202,1)}
       208:{1,2,4}:{(203,1),(204,1),(205,1),(209,1)}
       209:{2,3}:{(208,1)}

 568 :   0:{2,4,5,6}:{(2,1),(3,1),(21,1),(79,1),(80,1)}
         1:{2,3,4,6}:{(5,1),(6,1),(7,1),(21,1),(35,1),(60,1),(75,1),(108,1),(127,1)}
         2:{3,5,6}:{(0,1),(8,1),(9,1),(11,1)}
         3:{2,4,5,7}:{(0,1),(11,1),(12,1),(40,1),(90,1),(91,1)}
         4:{3,4,5}:{(8,1),(13,1),(14,1),(50,1)}
         5:{2,3,5}:{(1,1),(14,1),(16,1),(50,1),(131,1),(150,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(19,1),(55,1),(57,1),(107,1)}
         7:{2,3,4,7}:{(1,1),(17,1),(19,1),(40,1),(87,1),(103,1),(132,1),(202,1)}
         8:{3,4,6}:{(2,1),(4,1),(20,1),(21,1),(22,1),(60,1)}
         9:{1,5,6}:{(2,1),(20,1),(24,1)}
        10:{2,3,5,6}:{(2,1),(5,1),(21,1),(23,1),(25,1),(35,1),(60,1),(79,1),(128,1)}
        11:{3,5,7}:{(2,1),(3,1),(22,1),(24,1),(26,1)}
        12:{2,4,6,7}:{(3,1),(26,1),(27,1),(69,1)}
        13:{1,4,5}:{(4,1),(20,1),(28,1)}
        14:{2,4,5}:{(4,1),(5,1),(21,1),(170,1)}
        15:{3,4,5,7}:{(4,1),(22,1),(30,1),(31,1),(32,1),(64,1),(76,1),(157,1),(160,1),(165,1),(170,1)}
        16:{1,2,5}:{(5,1),(6,1),(33,1),(130,1)}
        17:{2,3,5,7}:{(5,1),(7,1),(31,1),(34,1),(35,1),(76,1),(153,1),(189,1),(193,1)}
        18:{1,3,6}:{(6,1),(33,1),(36,1),(60,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(34,1),(36,1),(81,1),(207,1)}
        20:{1,4,6}:{(8,1),(9,1),(13,1),(37,1),(39,1)}
        21:{2,4,6}:{(8,1),(10,1),(14,1),(40,1),(151,1)}
        22:{3,4,7}:{(8,1),(11,1),(39,1),(40,1),(87,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(16,1),(38,1),(42,1),(43,1),(57,1),(131,1),(171,1)}
        24:{1,5,7}:{(9,1),(11,1),(39,1),(44,1)}
        25:{2,3,5,7}:{(10,1),(11,1),(40,1),(43,1),(45,1),(87,1),(90,1),(138,1)}
        26:{3,6,7}:{(11,1),(12,1),(44,1)}
        27:{2,5,6,7}:{(12,1),(46,1),(90,1),(142,1)}
        28:{1,3,5}:{(13,1),(37,1),(47,1),(48,1),(50,1)}
        29:{1,2,4,5}:{(13,1),(14,1),(16,1),(38,1),(48,1),(50,1),(55,1),(92,1),(99,1),(131,1)}
        30:{1,4,5,7}:{(13,1),(15,1),(39,1),(49,1),(52,1),(89,1),(135,1),(145,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(17,1),(40,1),(53,1),(90,1),(175,1),(180,1)}
        32:{3,4,6}:{(15,1),(52,1),(53,1),(54,1),(104,1),(151,1)}
        33:{1,3,5}:{(16,1),(18,1),(50,1),(55,1)}
        34:{1,2,5,7}:{(16,1),(17,1),(19,1),(56,1),(57,1),(200,1),(203,1)}
        35:{2,3,6}:{(17,1),(53,1),(57,1),(104,1),(171,1)}
        36:{1,3,7}:{(18,1),(19,1),(87,1),(209,1)}
        37:{1,3,6}:{(20,1),(28,1),(58,1),(59,1),(60,1)}
        38:{1,2,4,6}:{(20,1),(21,1),(23,1),(29,1),(58,1),(60,1),(61,1),(65,1),(108,1)}
        39:{1,4,7}:{(20,1),(22,1),(24,1),(59,1)}
        40:{2,4,7}:{(21,1),(22,1),(25,1),(160,1)}
        41:{3,4,6,7}:{(22,1),(26,1),(32,1),(62,1),(63,1),(64,1),(69,1),(114,1),(119,1),(157,1),(160,1)}
        42:{1,3,5,6}:{(23,1),(33,1),(60,1),(65,1),(66,1),(82,1),(112,1),(128,1),(130,1),(158,1),(162,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(25,1),(61,1),(66,1),(67,1),(153,1)}
        44:{1,6,7}:{(24,1),(26,1)}
        45:{2,3,6,7}:{(25,1),(26,1),(35,1),(63,1),(67,1),(114,1),(189,1)}
        46:{3,5,6,7}:{(26,1),(27,1),(64,1),(68,1),(69,1),(119,1)}
        47:{1,3,4}:{(28,1),(70,1),(75,1)}
        48:{1,2,5}:{(28,1),(58,1),(70,1),(72,1)}
        49:{1,3,5,7}:{(28,1),(30,1),(59,1),(71,1),(73,1),(74,1),(76,1),(122,1),(206,1)}
        50:{3,5}:{(29,1),(60,1),(75,1)}
        51:{1,2,4,5,7}:{(29,1),(30,1),(31,1),(34,1),(61,1),(73,1),(76,1),(77,1),(81,1),(115,1),(117,1),(123,1),(130,1),(153,1),(156,1),(160,1),(164,1),(166,1),(170,1),(186,1),(206,1)}
        52:{1,4,6}:{(30,1),(32,1),(74,1),(78,1)}
        53:{2,4,6}:{(31,1),(32,1),(35,1),(79,1)}
        54:{3,5,6}:{(32,1),(64,1),(78,1),(79,1),(80,1)}
        55:{1,4}:{(33,1),(75,1)}
        56:{1,3,5,7}:{(33,1),(34,1),(36,1),(76,1),(81,1),(82,1),(130,1),(188,1),(192,1),(206,1)}
        57:{1,2,6}:{(34,1),(35,1),(82,1)}
        58:{1,2,6}:{(37,1),(48,1),(83,1),(84,1)}
        59:{1,3,7}:{(37,1),(39,1),(84,1),(87,1)}
        60:{3,6}:{(38,1),(50,1),(87,1)}
        61:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(84,1),(87,1),(93,1),(132,1)}
        62:{1,4,6,7}:{(39,1),(41,1),(44,1),(52,1),(85,1),(89,1),(135,1)}
        63:{2,4,6,7}:{(40,1),(41,1),(45,1),(53,1),(90,1),(142,1),(175,1)}
        64:{3,5,7}:{(41,1),(54,1),(89,1),(90,1),(91,1)}
        65:{1,4,6}:{(42,1),(55,1),(86,1),(92,1),(93,1),(151,1)}
        66:{1,3,5,7}:{(42,1),(43,1),(87,1),(93,1),(94,1),(136,1),(138,1),(141,1)}
        67:{1,2,6,7}:{(43,1),(44,1),(45,1),(57,1),(94,1),(171,1),(200,1)}
        68:{1,5,6,7}:{(44,1),(46,1),(89,1),(95,1)}
        69:{4,6,7}:{(46,1),(91,1)}
        70:{1,2,4}:{(47,1),(48,1),(96,1),(99,1)}
        71:{1,3,4,7}:{(47,1),(49,1),(97,1),(98,1),(103,1),(135,1),(174,1),(199,1)}
        72:{2,3,5}:{(48,1),(50,1),(83,1),(96,1),(99,1),(131,1)}
        73:{1,2,5,7}:{(48,1),(49,1),(84,1),(97,1),(100,1),(101,1),(144,1)}
        74:{1,3,6}:{(49,1),(52,1),(101,1),(104,1),(208,1)}
        75:{3,4}:{(50,1),(55,1),(99,1)}
        76:{3,5,7}:{(50,1),(51,1),(87,1),(103,1),(104,1),(150,1),(174,1),(179,1)}
        77:{1,2,4,6}:{(51,1),(52,1),(53,1),(57,1),(101,1),(104,1),(105,1),(107,1),(140,1),(146,1),(151,1),(171,1),(197,1),(208,1)}
        78:{1,5,6}:{(52,1),(54,1),(89,1)}
        79:{2,5,6}:{(53,1),(54,1),(90,1)}
        80:{4,5,6}:{(54,1),(91,1),(151,1)}
        81:{1,4,7}:{(55,1),(56,1),(103,1),(107,1),(201,1)}
        82:{1,3,6}:{(56,1),(57,1),(104,1),(107,1),(208,1)}
        83:{2,3,6}:{(58,1),(60,1),(72,1),(108,1),(109,1)}
        84:{1,2,7}:{(58,1),(59,1),(109,1)}
        85:{1,3,6,7}:{(59,1),(62,1),(74,1),(110,1),(111,1),(114,1),(119,1)}
        86:{3,4,6}:{(60,1),(65,1),(75,1),(108,1),(112,1),(113,1),(158,1)}
        87:{3,7}:{(60,1),(61,1)}
        88:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(67,1),(77,1),(110,1),(114,1),(115,1),(118,1),(154,1),(156,1),(160,1)}
        89:{1,5,7}:{(62,1),(64,1),(78,1)}
        90:{2,5,7}:{(63,1),(64,1),(79,1)}
        91:{4,5,7}:{(64,1),(69,1),(80,1),(160,1)}
        92:{1,4,5}:{(65,1),(112,1),(130,1),(170,1)}
        93:{1,4,7}:{(65,1),(66,1),(113,1),(160,1)}
        94:{1,3,6,7}:{(66,1),(67,1),(82,1),(114,1),(118,1),(158,1),(188,1)}
        95:{1,4,6,7}:{(68,1),(69,1),(116,1),(119,1)}
        96:{2,3}:{(70,1)}
        97:{1,2,4,7}:{(70,1),(71,1),(73,1),(120,1),(121,1),(123,1)}
        98:{1,3,4,6}:{(71,1),(74,1),(121,1),(122,1),(126,1),(127,1),(168,1),(191,1),(195,1)}
        99:{2,4}:{(72,1),(75,1)}
       100:{2,3,5,7}:{(72,1),(73,1),(76,1),(109,1),(120,1),(123,1),(124,1),(153,1),(163,1),(166,1)}
       101:{1,2,6}:{(73,1),(74,1),(124,1)}
       102:{1,3,5,6}:{(74,1),(78,1),(111,1),(122,1),(125,1),(126,1),(128,1),(129,1),(168,1)}
       103:{3,4,7}:{(75,1),(76,1),(81,1),(123,1),(127,1),(160,1),(191,1)}
       104:{3,6}:{(76,1),(77,1)}
       105:{1,2,5,6}:{(77,1),(78,1),(79,1),(115,1),(128,1),(130,1),(162,1),(166,1),(185,1)}
       106:{1,4,5,6}:{(78,1),(80,1),(116,1),(126,1),(129,1)}
       107:{1,4,6}:{(81,1),(82,1),(127,1),(130,1)}
       108:{2,4,6}:{(83,1),(86,1),(99,1),(131,1),(132,1),(171,1)}
       109:{2,3,7}:{(83,1),(84,1),(87,1),(132,1)}
       110:{1,2,6,7}:{(84,1),(85,1),(101,1),(133,1),(134,1),(142,1),(208,1)}
       111:{1,3,5,7}:{(85,1),(89,1),(102,1),(134,1),(135,1),(138,1),(139,1),(174,1)}
       112:{3,5}:{(86,1),(92,1),(131,1)}
       113:{3,4,7}:{(86,1),(87,1),(93,1),(132,1),(136,1)}
       114:{3,6,7}:{(87,1),(88,1),(104,1),(138,1),(174,1)}
       115:{1,2,5,7}:{(88,1),(89,1),(90,1),(105,1),(138,1),(141,1),(172,1)}
       116:{1,4,5,7}:{(89,1),(91,1),(95,1),(106,1),(135,1),(139,1)}
       117:{1,4,5,7}:{(92,1),(93,1),(136,1),(140,1),(141,1),(177,1)}
       118:{1,4,6,7}:{(93,1),(94,1),(107,1),(137,1),(140,1),(141,1),(199,1),(208,1)}
       119:{3,6,7}:{(95,1),(139,1),(142,1)}
       120:{2,3,7}:{(96,1),(97,1),(143,1),(174,1)}
       121:{1,2,4,6}:{(97,1),(98,1),(101,1),(143,1),(144,1),(146,1),(178,1)}
       122:{1,3,5}:{(98,1),(144,1),(145,1),(150,1),(179,1),(204,1)}
       123:{2,4,7}:{(99,1),(100,1),(103,1),(146,1),(178,1)}
       124:{2,3,6}:{(100,1),(101,1),(104,1),(146,1),(171,1)}
       125:{1,2,5,6}:{(101,1),(102,1),(134,1),(144,1),(147,1),(148,1),(152,1),(204,1),(208,1)}
       126:{1,4,6}:{(102,1),(135,1),(145,1),(149,1),(151,1)}
       127:{3,4,6}:{(103,1),(104,1),(107,1),(146,1),(150,1),(151,1)}
       128:{3,5,6}:{(104,1),(105,1),(138,1),(150,1),(151,1)}
       129:{3,5,6}:{(106,1),(139,1),(149,1),(152,1)}
       130:{1,5}:{(107,1),(150,1)}
       131:{2,5}:{(108,1),(112,1)}
       132:{2,4,7}:{(108,1),(109,1),(113,1),(153,1)}
       133:{2,3,6,7}:{(109,1),(110,1),(114,1),(124,1),(154,1),(155,1),(205,1)}
       134:{1,2,5,7}:{(110,1),(111,1),(125,1),(155,1),(156,1),(161,1),(206,1)}
       135:{1,4,7}:{(111,1),(126,1),(157,1),(160,1)}
       136:{3,5,7}:{(112,1),(113,1),(117,1),(153,1),(158,1)}
       137:{3,4,6,7}:{(113,1),(114,1),(118,1),(127,1),(154,1),(158,1),(159,1),(160,1),(187,1),(190,1),(205,1)}
       138:{3,5,7}:{(114,1),(115,1),(128,1),(160,1)}
       139:{3,5,7}:{(116,1),(119,1),(129,1),(157,1),(161,1)}
       140:{1,4,6}:{(117,1),(158,1),(162,1),(190,1)}
       141:{1,5,7}:{(118,1),(130,1),(159,1),(162,1)}
       142:{2,6,7}:{(119,1),(161,1)}
       143:{2,3,6}:{(120,1),(121,1),(163,1),(168,1)}
       144:{1,2,5}:{(121,1),(122,1),(163,1),(166,1)}
       145:{1,4,5}:{(122,1),(126,1),(165,1),(170,1)}
       146:{2,4,6}:{(123,1),(124,1),(127,1),(166,1)}
       147:{2,3,5,6}:{(124,1),(125,1),(128,1),(155,1),(163,1),(166,1),(167,1),(168,1),(185,1),(194,1),(205,1)}
       148:{1,2,4,6}:{(125,1),(126,1),(156,1),(164,1),(167,1),(168,1),(169,1),(195,1),(196,1)}
       149:{3,4,6}:{(126,1),(129,1),(157,1),(165,1),(168,1),(169,1)}
       150:{3,5}:{(127,1),(130,1),(166,1),(170,1)}
       151:{4,6}:{(128,1),(160,1),(170,1)}
       152:{2,5,6}:{(129,1),(161,1),(169,1)}
       153:{2,5,7}:{(131,1),(132,1),(136,1),(171,1)}
       154:{2,4,6,7}:{(132,1),(133,1),(137,1),(146,1),(171,1),(172,1),(173,1),(197,1)}
       155:{2,3,5,7}:{(133,1),(134,1),(138,1),(147,1),(172,1),(173,1),(174,1),(198,1)}
       156:{1,2,4,7}:{(134,1),(135,1),(148,1),(173,1),(174,1),(175,1),(199,1),(200,1)}
       157:{3,4,7}:{(135,1),(139,1),(149,1),(174,1),(175,1)}
       158:{3,6}:{(136,1),(140,1),(171,1)}
       159:{3,5,7}:{(137,1),(141,1),(150,1),(172,1),(176,1),(177,1)}
       160:{4,7}:{(138,1),(151,1)}
       161:{2,5,7}:{(139,1),(142,1),(152,1),(175,1)}
       162:{1,5,6}:{(140,1),(141,1),(176,1),(208,1)}
       163:{2,3,5}:{(143,1),(144,1),(178,1),(179,1)}
       164:{1,2,4,5}:{(144,1),(145,1),(148,1),(178,1),(179,1),(180,1),(181,1),(201,1),(203,1),(204,1)}
       165:{3,4,5}:{(145,1),(149,1),(179,1),(180,1)}
       166:{2,5}:{(146,1),(150,1)}
       167:{2,4,6}:{(147,1),(151,1),(173,1),(178,1),(181,1),(182,1)}
       168:{3,6}:{(148,1),(174,1),(179,1)}
       169:{2,4,6}:{(149,1),(152,1),(175,1),(180,1),(184,1)}
       170:{4,5}:{(150,1),(151,1)}
       171:{2,6}:{(153,1),(158,1)}
       172:{2,5,7}:{(154,1),(159,1),(166,1),(185,1)}
       173:{2,4,7}:{(155,1),(160,1),(167,1),(187,1)}
       174:{3,7}:{(156,1),(168,1)}
       175:{2,4,7}:{(157,1),(161,1),(169,1),(189,1)}
       176:{3,5,6}:{(158,1),(159,1),(162,1),(185,1),(190,1),(205,1)}
       177:{4,5,7}:{(159,1),(160,1),(170,1),(190,1)}
       178:{2,4}:{(163,1),(191,1)}
       179:{3,5}:{(164,1),(168,1),(191,1)}
       180:{2,4,5}:{(165,1),(169,1),(193,1)}
       181:{2,4,5}:{(166,1),(167,1),(170,1),(194,1)}
       182:{3,4,6}:{(167,1),(168,1),(187,1),(191,1),(194,1),(195,1),(205,1)}
       183:{1,3,6}:{(168,1),(188,1),(192,1),(195,1),(196,1)}
       184:{2,3,6}:{(168,1),(169,1),(189,1),(193,1),(196,1)}
       185:{2,5,6}:{(171,1),(172,1),(176,1),(197,1)}
       186:{2,4,5,7}:{(172,1),(173,1),(177,1),(181,1),(197,1),(198,1)}
       187:{3,4,7}:{(173,1),(174,1),(182,1),(198,1),(199,1)}
       188:{1,3,7}:{(174,1),(183,1),(199,1),(200,1)}
       189:{2,3,7}:{(174,1),(175,1),(184,1),(200,1)}
       190:{4,6}:{(176,1),(177,1)}
       191:{3,4}:{(178,1),(179,1),(201,1)}
       192:{1,3,5}:{(179,1),(183,1),(201,1),(203,1),(204,1),(209,1)}
       193:{2,3,5}:{(179,1),(180,1),(184,1),(202,1),(203,1)}
       194:{3,5}:{(181,1),(182,1),(204,1)}
       195:{1,4,6}:{(182,1),(183,1),(199,1),(201,1),(204,1),(208,1)}
       196:{1,2,6}:{(183,1),(184,1),(200,1),(203,1)}
       197:{2,4,6}:{(185,1),(186,1),(190,1),(205,1)}
       198:{3,5,7}:{(186,1),(187,1),(194,1),(205,1),(206,1)}
       199:{1,4,7}:{(187,1),(188,1),(195,1),(206,1)}
       200:{1,2,7}:{(188,1),(189,1),(196,1)}
       201:{1,4}:{(191,1),(192,1)}
       202:{2,3,4}:{(191,1),(193,1),(207,1)}
       203:{1,2,5}:{(192,1),(193,1),(196,1),(207,1)}
       204:{1,5}:{(194,1),(195,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{1,5,7}:{(198,1),(199,1),(204,1),(208,1)}
       207:{1,2,4}:{(201,1),(202,1),(203,1),(209,1)}
       208:{1,6}:{(205,1),(206,1)}
       209:{1,3}:{(207,1)}

 569 :   0:{3,5,6,7}:{(2,1),(3,1),(4,1),(26,1),(31,1),(35,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(8,1),(35,1),(41,1),(42,1),(74,1),(78,1),(87,1),(150,1),(152,1)}
         2:{1,5,6,7}:{(0,1),(10,1),(57,1),(64,1)}
         3:{2,5,6,7}:{(0,1),(13,1),(50,1),(65,1)}
         4:{4,6,7}:{(0,1),(16,1)}
         5:{4,5,6}:{(16,1),(18,1),(125,1)}
         6:{3,4,6}:{(1,1),(18,1),(19,1),(20,1),(68,1),(125,1)}
         7:{1,4,5,7}:{(1,1),(12,1),(19,1),(64,1),(70,1),(103,1),(107,1),(115,1)}
         8:{2,4,5,7}:{(1,1),(15,1),(20,1),(65,1),(71,1),(104,1),(108,1),(116,1)}
         9:{2,3,4,7}:{(15,1),(22,1),(23,1),(69,1),(116,1),(156,1),(168,1),(200,1)}
        10:{1,4,6,7}:{(2,1),(4,1),(25,1),(26,1)}
        11:{1,4,5,6}:{(5,1),(25,1),(27,1),(38,1),(82,1)}
        12:{1,3,5,7}:{(7,1),(24,1),(28,1),(29,1),(41,1),(75,1),(100,1),(142,1),(204,1)}
        13:{2,4,6,7}:{(3,1),(4,1),(30,1),(31,1)}
        14:{2,4,5,6}:{(5,1),(30,1),(32,1),(39,1),(92,1)}
        15:{2,3,5,7}:{(8,1),(9,1),(33,1),(34,1),(41,1),(43,1),(131,1),(134,1),(206,1)}
        16:{4,5,7}:{(4,1),(5,1),(35,1),(150,1)}
        17:{3,4,6,7}:{(4,1),(6,1),(26,1),(31,1),(35,1),(36,1),(37,1),(78,1),(87,1),(97,1),(150,1)}
        18:{3,5,6}:{(5,1),(6,1),(35,1),(38,1),(39,1)}
        19:{1,4,6}:{(6,1),(7,1),(28,1),(38,1)}
        20:{2,4,6}:{(6,1),(8,1),(33,1),(39,1)}
        21:{1,2,4,5,7}:{(7,1),(8,1),(29,1),(34,1),(40,1),(41,1),(86,1),(95,1),(96,1),(101,1),(132,1),(135,1),(141,1),(143,1),(149,1),(150,1),(152,1),(183,1),(189,1),(204,1),(206,1)}
        22:{2,3,4,6}:{(9,1),(33,1),(43,1),(44,1),(92,1),(99,1),(147,1),(155,1),(191,1)}
        23:{1,2,4,7}:{(9,1),(34,1),(44,1),(45,1),(95,1),(178,1)}
        24:{1,3,4,7}:{(12,1),(46,1),(47,1),(69,1),(107,1),(127,1),(161,1),(196,1)}
        25:{1,4,5,7}:{(10,1),(11,1),(16,1),(48,1),(64,1),(107,1)}
        26:{3,6,7}:{(10,1),(48,1),(50,1)}
        27:{3,5,6}:{(11,1),(48,1),(51,1),(53,1)}
        28:{1,3,6}:{(12,1),(19,1),(54,1),(68,1),(208,1)}
        29:{1,2,5,7}:{(12,1),(47,1),(54,1),(55,1),(105,1),(128,1),(167,1)}
        30:{2,4,5,7}:{(13,1),(14,1),(16,1),(56,1),(65,1),(116,1)}
        31:{3,6,7}:{(13,1),(56,1),(57,1)}
        32:{3,5,6}:{(14,1),(56,1),(59,1),(60,1)}
        33:{2,3,6}:{(15,1),(20,1),(62,1),(68,1),(209,1)}
        34:{1,2,5,7}:{(15,1),(23,1),(62,1),(63,1),(72,1),(157,1),(160,1)}
        35:{3,5,7}:{(16,1),(17,1),(18,1),(64,1),(65,1)}
        36:{1,4,6,7}:{(17,1),(19,1),(49,1),(57,1),(64,1),(107,1),(115,1)}
        37:{2,4,6,7}:{(17,1),(20,1),(50,1),(58,1),(65,1),(108,1),(116,1)}
        38:{1,5,6}:{(18,1),(19,1),(64,1)}
        39:{2,5,6}:{(18,1),(20,1),(65,1)}
        40:{1,2,4,6}:{(19,1),(20,1),(21,1),(54,1),(62,1),(67,1),(68,1),(114,1),(122,1),(125,1),(198,1),(202,1),(208,1),(209,1)}
        41:{3,5,7}:{(21,1),(68,1),(69,1),(126,1),(129,1),(158,1),(161,1),(168,1)}
        42:{3,4,5}:{(59,1),(70,1),(71,1),(129,1)}
        43:{2,3,5}:{(22,1),(71,1),(72,1),(126,1),(129,1),(203,1)}
        44:{1,2,4,6}:{(22,1),(23,1),(62,1),(72,1),(73,1),(122,1),(130,1)}
        45:{1,3,7}:{(23,1),(73,1),(168,1),(194,1)}
        46:{1,3,4,6}:{(24,1),(28,1),(75,1),(76,1),(82,1),(99,1),(139,1),(180,1),(185,1)}
        47:{1,2,4,7}:{(24,1),(29,1),(76,1),(77,1),(86,1),(153,1)}
        48:{3,5,7}:{(25,1),(26,1),(27,1),(78,1),(80,1)}
        49:{1,3,6,7}:{(26,1),(28,1),(36,1),(79,1),(81,1),(97,1),(142,1)}
        50:{2,6,7}:{(26,1),(80,1)}
        51:{3,4,6}:{(27,1),(74,1),(78,1),(82,1),(83,1),(139,1)}
        52:{1,3,5,6}:{(27,1),(28,1),(38,1),(75,1),(79,1),(82,1),(84,1),(98,1),(139,1)}
        53:{2,5,6}:{(27,1),(80,1),(83,1)}
        54:{1,2,6}:{(28,1),(29,1),(85,1)}
        55:{2,3,5,7}:{(29,1),(41,1),(77,1),(85,1),(86,1),(133,1),(141,1),(154,1),(187,1),(206,1)}
        56:{3,5,7}:{(30,1),(31,1),(32,1),(87,1),(88,1)}
        57:{1,6,7}:{(31,1),(88,1)}
        58:{2,3,6,7}:{(31,1),(33,1),(37,1),(89,1),(90,1),(97,1),(134,1)}
        59:{3,4,6}:{(32,1),(42,1),(87,1),(91,1),(92,1),(147,1)}
        60:{1,5,6}:{(32,1),(88,1),(91,1)}
        61:{2,3,5,6}:{(32,1),(33,1),(39,1),(43,1),(89,1),(92,1),(93,1),(98,1),(147,1)}
        62:{1,2,6}:{(33,1),(34,1),(94,1)}
        63:{1,3,5,7}:{(34,1),(41,1),(45,1),(94,1),(95,1),(102,1),(149,1),(179,1),(181,1),(204,1)}
        64:{1,5,7}:{(35,1),(36,1),(38,1)}
        65:{2,5,7}:{(35,1),(37,1),(39,1)}
        66:{1,2,4,6,7}:{(36,1),(37,1),(40,1),(81,1),(90,1),(96,1),(97,1),(135,1),(137,1),(143,1),(145,1),(150,1)}
        67:{1,2,5,6}:{(38,1),(39,1),(40,1),(96,1),(98,1),(141,1),(149,1),(184,1),(190,1)}
        68:{3,6}:{(40,1),(41,1)}
        69:{3,4,7}:{(41,1),(86,1),(95,1),(99,1),(150,1),(155,1),(180,1)}
        70:{1,4,5}:{(42,1),(91,1),(100,1)}
        71:{2,4,5}:{(42,1),(43,1),(92,1),(152,1)}
        72:{1,2,5}:{(43,1),(44,1),(102,1),(149,1)}
        73:{1,3,6}:{(44,1),(45,1),(102,1),(147,1)}
        74:{3,4,5}:{(51,1),(103,1),(104,1),(158,1)}
        75:{1,3,5}:{(46,1),(103,1),(105,1),(126,1),(158,1),(199,1)}
        76:{1,2,4,6}:{(46,1),(47,1),(54,1),(105,1),(106,1),(114,1),(159,1)}
        77:{2,3,7}:{(47,1),(106,1),(161,1),(176,1)}
        78:{3,4,7}:{(48,1),(51,1),(107,1),(108,1),(161,1)}
        79:{1,3,5,7}:{(48,1),(49,1),(52,1),(64,1),(107,1),(109,1),(123,1),(161,1)}
        80:{2,5,7}:{(48,1),(50,1),(53,1),(108,1)}
        81:{1,2,6,7}:{(49,1),(50,1),(54,1),(109,1),(110,1),(167,1),(208,1)}
        82:{1,4,6}:{(51,1),(52,1),(103,1),(107,1),(125,1)}
        83:{2,4,6}:{(51,1),(53,1),(104,1),(108,1),(111,1)}
        84:{1,2,5,6}:{(52,1),(53,1),(54,1),(105,1),(109,1),(112,1),(113,1),(199,1),(208,1)}
        85:{2,3,6}:{(54,1),(55,1),(68,1),(114,1),(209,1)}
        86:{2,4,7}:{(55,1),(69,1),(114,1),(159,1),(177,1)}
        87:{3,4,7}:{(56,1),(59,1),(115,1),(116,1),(168,1)}
        88:{1,5,7}:{(56,1),(57,1),(60,1),(115,1)}
        89:{2,3,5,7}:{(56,1),(58,1),(61,1),(65,1),(116,1),(117,1),(123,1),(168,1)}
        90:{1,2,6,7}:{(57,1),(58,1),(62,1),(117,1),(118,1),(160,1),(209,1)}
        91:{1,4,6}:{(59,1),(60,1),(70,1),(115,1),(119,1)}
        92:{2,4,6}:{(59,1),(61,1),(71,1),(116,1),(125,1)}
        93:{1,2,5,6}:{(60,1),(61,1),(62,1),(72,1),(117,1),(120,1),(121,1),(203,1),(209,1)}
        94:{1,3,6}:{(62,1),(63,1),(68,1),(122,1),(208,1)}
        95:{1,4,7}:{(63,1),(69,1),(122,1),(130,1),(195,1)}
        96:{1,2,5,7}:{(64,1),(65,1),(66,1),(67,1),(123,1),(163,1),(170,1)}
        97:{3,6,7}:{(66,1),(68,1),(123,1),(161,1),(168,1)}
        98:{3,5,6}:{(67,1),(68,1),(123,1),(125,1),(126,1)}
        99:{3,4,6}:{(68,1),(69,1),(114,1),(122,1),(125,1),(126,1)}
       100:{1,3,5}:{(70,1),(119,1),(127,1),(128,1),(129,1)}
       101:{1,2,4,5}:{(70,1),(71,1),(72,1),(120,1),(128,1),(129,1),(130,1),(173,1),(177,1),(203,1)}
       102:{1,3,5}:{(72,1),(73,1),(129,1),(130,1)}
       103:{1,4,5}:{(74,1),(75,1),(82,1),(152,1)}
       104:{2,4,5}:{(74,1),(83,1),(131,1)}
       105:{1,2,5}:{(75,1),(76,1),(133,1),(141,1)}
       106:{2,3,6}:{(76,1),(77,1),(133,1),(139,1)}
       107:{1,4,7}:{(78,1),(79,1),(82,1),(150,1)}
       108:{2,4,7}:{(78,1),(80,1),(83,1),(134,1)}
       109:{1,2,5,7}:{(79,1),(80,1),(81,1),(84,1),(135,1),(136,1),(204,1)}
       110:{2,3,6,7}:{(81,1),(85,1),(97,1),(136,1),(137,1),(187,1),(205,1)}
       111:{2,3,6}:{(83,1),(131,1),(134,1),(138,1),(139,1)}
       112:{1,2,4,6}:{(82,1),(83,1),(84,1),(132,1),(135,1),(138,1),(139,1),(140,1),(185,1)}
       113:{2,3,5,6}:{(84,1),(85,1),(98,1),(133,1),(136,1),(139,1),(140,1),(141,1),(184,1),(186,1),(205,1)}
       114:{2,4,6}:{(85,1),(86,1),(99,1),(141,1)}
       115:{1,4,7}:{(87,1),(88,1),(91,1),(142,1)}
       116:{2,4,7}:{(87,1),(89,1),(92,1),(150,1)}
       117:{1,2,5,7}:{(88,1),(89,1),(90,1),(93,1),(143,1),(144,1),(206,1)}
       118:{1,3,6,7}:{(90,1),(94,1),(97,1),(144,1),(145,1),(181,1),(207,1)}
       119:{1,3,6}:{(91,1),(100,1),(142,1),(146,1),(147,1)}
       120:{1,2,4,6}:{(91,1),(92,1),(93,1),(101,1),(143,1),(146,1),(147,1),(148,1),(191,1)}
       121:{1,3,5,6}:{(93,1),(94,1),(98,1),(102,1),(144,1),(147,1),(148,1),(149,1),(190,1),(192,1),(207,1)}
       122:{1,4,6}:{(94,1),(95,1),(99,1),(149,1)}
       123:{3,5,7}:{(96,1),(97,1),(98,1),(150,1)}
       124:{3,4,6,7}:{(97,1),(99,1),(137,1),(145,1),(150,1),(151,1),(182,1),(188,1),(193,1),(205,1),(207,1)}
       125:{4,6}:{(98,1),(150,1),(152,1)}
       126:{3,5}:{(99,1),(141,1),(149,1),(152,1)}
       127:{1,3,4}:{(100,1),(153,1),(155,1)}
       128:{1,2,5}:{(100,1),(146,1),(153,1),(154,1)}
       129:{3,5}:{(101,1),(147,1),(155,1)}
       130:{1,4}:{(102,1),(155,1)}
       131:{2,3,5}:{(104,1),(111,1),(156,1),(157,1),(158,1)}
       132:{1,2,4,5}:{(103,1),(104,1),(105,1),(112,1),(157,1),(158,1),(159,1),(166,1),(195,1),(199,1)}
       133:{2,3,5}:{(105,1),(106,1),(158,1),(159,1)}
       134:{2,3,7}:{(108,1),(111,1),(160,1),(161,1)}
       135:{1,2,4,7}:{(107,1),(108,1),(109,1),(112,1),(160,1),(161,1),(162,1),(196,1)}
       136:{2,3,5,7}:{(109,1),(110,1),(113,1),(123,1),(161,1),(162,1),(163,1),(197,1)}
       137:{2,4,6,7}:{(110,1),(114,1),(124,1),(162,1),(163,1),(198,1),(200,1),(209,1)}
       138:{1,2,6}:{(111,1),(157,1),(160,1),(164,1)}
       139:{3,6}:{(112,1),(158,1),(161,1)}
       140:{2,4,6}:{(113,1),(125,1),(159,1),(162,1),(165,1),(166,1)}
       141:{2,5}:{(114,1),(126,1)}
       142:{1,3,7}:{(115,1),(119,1),(167,1),(168,1)}
       143:{1,2,4,7}:{(115,1),(116,1),(117,1),(120,1),(167,1),(168,1),(169,1),(200,1)}
       144:{1,3,5,7}:{(117,1),(118,1),(121,1),(123,1),(168,1),(169,1),(170,1),(201,1)}
       145:{1,4,6,7}:{(118,1),(122,1),(124,1),(169,1),(170,1),(196,1),(202,1),(208,1)}
       146:{1,2,6}:{(119,1),(128,1),(167,1),(171,1)}
       147:{3,6}:{(120,1),(129,1),(168,1)}
       148:{1,4,6}:{(121,1),(125,1),(130,1),(169,1),(172,1),(173,1)}
       149:{1,5}:{(122,1),(126,1)}
       150:{4,7}:{(123,1),(125,1)}
       151:{3,5,7}:{(124,1),(126,1),(163,1),(170,1),(174,1),(175,1)}
       152:{4,5}:{(125,1),(126,1)}
       153:{1,2,4}:{(127,1),(128,1),(176,1),(177,1)}
       154:{2,3,5}:{(128,1),(129,1),(171,1),(176,1),(177,1),(203,1)}
       155:{3,4}:{(129,1),(130,1),(177,1)}
       156:{2,3,4}:{(131,1),(178,1),(180,1)}
       157:{1,2,5}:{(131,1),(138,1),(178,1),(179,1)}
       158:{3,5}:{(132,1),(139,1),(180,1)}
       159:{2,4}:{(133,1),(180,1)}
       160:{1,2,7}:{(134,1),(138,1),(181,1)}
       161:{3,7}:{(135,1),(139,1)}
       162:{2,4,7}:{(136,1),(140,1),(150,1),(182,1)}
       163:{2,5,7}:{(137,1),(141,1),(151,1),(184,1)}
       164:{1,3,6}:{(138,1),(139,1),(179,1),(181,1),(185,1)}
       165:{3,4,6}:{(139,1),(140,1),(180,1),(182,1),(185,1),(186,1),(205,1)}
       166:{2,4,5}:{(140,1),(141,1),(152,1),(186,1)}
       167:{1,2,7}:{(142,1),(146,1),(187,1)}
       168:{3,7}:{(143,1),(147,1)}
       169:{1,4,7}:{(144,1),(148,1),(150,1),(188,1)}
       170:{1,5,7}:{(145,1),(149,1),(151,1),(190,1)}
       171:{2,3,6}:{(146,1),(147,1),(154,1),(187,1),(191,1)}
       172:{3,4,6}:{(147,1),(148,1),(155,1),(188,1),(191,1),(192,1),(207,1)}
       173:{1,4,5}:{(148,1),(149,1),(152,1),(192,1)}
       174:{4,5,7}:{(150,1),(151,1),(152,1),(193,1)}
       175:{3,5,6}:{(151,1),(184,1),(190,1),(193,1),(205,1),(207,1)}
       176:{2,3}:{(153,1)}
       177:{2,4}:{(154,1),(155,1)}
       178:{1,2,4}:{(156,1),(157,1),(194,1),(195,1)}
       179:{1,3,5}:{(157,1),(158,1),(164,1),(194,1),(195,1),(199,1)}
       180:{3,4}:{(158,1),(159,1),(195,1)}
       181:{1,3,7}:{(160,1),(161,1),(164,1),(196,1)}
       182:{3,4,7}:{(161,1),(162,1),(165,1),(196,1),(197,1)}
       183:{2,4,5,7}:{(162,1),(163,1),(166,1),(174,1),(197,1),(198,1)}
       184:{2,5,6}:{(163,1),(175,1),(198,1),(209,1)}
       185:{1,4,6}:{(164,1),(165,1),(195,1),(196,1),(199,1),(208,1)}
       186:{3,5}:{(165,1),(166,1),(199,1)}
       187:{2,3,7}:{(167,1),(168,1),(171,1),(200,1)}
       188:{3,4,7}:{(168,1),(169,1),(172,1),(200,1),(201,1)}
       189:{1,4,5,7}:{(169,1),(170,1),(173,1),(174,1),(201,1),(202,1)}
       190:{1,5,6}:{(170,1),(175,1),(202,1),(208,1)}
       191:{2,4,6}:{(171,1),(172,1),(177,1),(200,1),(203,1),(209,1)}
       192:{3,5}:{(172,1),(173,1),(203,1)}
       193:{4,6}:{(174,1),(175,1)}
       194:{1,3}:{(178,1)}
       195:{1,4}:{(179,1),(180,1)}
       196:{1,4,7}:{(181,1),(182,1),(185,1),(204,1)}
       197:{3,5,7}:{(182,1),(183,1),(186,1),(204,1),(205,1)}
       198:{2,4,6}:{(183,1),(184,1),(193,1),(205,1)}
       199:{1,5}:{(185,1),(186,1)}
       200:{2,4,7}:{(187,1),(188,1),(191,1),(206,1)}
       201:{3,5,7}:{(188,1),(189,1),(192,1),(206,1),(207,1)}
       202:{1,4,6}:{(189,1),(190,1),(193,1),(207,1)}
       203:{2,5}:{(191,1),(192,1)}
       204:{1,5,7}:{(196,1),(197,1),(199,1),(208,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{2,5,7}:{(200,1),(201,1),(203,1),(209,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{1,6}:{(204,1),(205,1)}
       209:{2,6}:{(206,1),(207,1)}

 570 :  0:{1,2,5,6}:{(2,1),(3,1),(4,1),(34,1),(35,1),(53,1),(54,1)}
        1:{1,2,4,5}:{(3,1),(5,1),(14,1),(21,1),(22,1),(23,1),(34,1),(35,1)}
        2:{3,5,6}:{(0,1),(6,1),(7,1),(8,1),(24,1),(47,1),(48,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(6,1),(8,1),(9,1),(26,1),(27,1),(30,1)}
        4:{1,2,5,7}:{(0,1),(7,1),(9,1),(10,1),(45,1),(46,1)}
        5:{3,5}:{(1,1),(8,1),(11,1)}
        6:{4,6}:{(2,1),(14,1),(16,1)}
        7:{3,5,7}:{(2,1),(4,1),(16,1),(17,1),(20,1),(41,1)}
        8:{3,6}:{(3,1),(5,1),(20,1)}
        9:{1,2,4,7}:{(3,1),(4,1),(16,1),(20,1),(39,1),(40,1),(42,1)}
       10:{1,2,6,7}:{(4,1),(17,1),(53,1),(54,1)}
       11:{3,4}:{(5,1),(21,1),(22,1),(43,1)}
       12:{1,3,5}:{(5,1),(18,1),(21,1),(23,1),(34,1),(43,1),(51,1)}
       13:{2,3,5}:{(5,1),(19,1),(22,1),(23,1),(35,1),(43,1),(51,1)}
       14:{4,5}:{(6,1),(24,1),(56,1)}
       15:{3,4,6}:{(6,1),(8,1),(11,1),(24,1),(26,1),(27,1),(28,1),(47,1),(49,1),(56,1),(61,1)}
       16:{4,7}:{(6,1),(7,1)}
       17:{3,6,7}:{(7,1),(10,1),(29,1),(47,1)}
       18:{1,3,6}:{(8,1),(12,1),(26,1),(30,1),(31,1),(49,1)}
       19:{2,3,6}:{(8,1),(13,1),(27,1),(30,1),(32,1),(49,1)}
       20:{3,7}:{(8,1),(9,1)}
       21:{1,4}:{(11,1),(12,1),(56,1)}
       22:{2,4}:{(11,1),(13,1),(56,1)}
       23:{1,2,5}:{(12,1),(13,1),(30,1),(33,1)}
       24:{3,5}:{(14,1),(15,1),(34,1),(35,1),(62,1)}
       25:{4,5,7}:{(14,1),(16,1),(36,1),(37,1),(41,1),(59,1),(62,1)}
       26:{1,4,6}:{(15,1),(18,1),(21,1),(34,1),(39,1),(53,1)}
       27:{2,4,6}:{(15,1),(19,1),(22,1),(35,1),(40,1),(54,1)}
       28:{3,4,7}:{(15,1),(16,1),(20,1),(36,1),(39,1),(40,1),(55,1),(59,1)}
       29:{4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
       30:{1,2,6}:{(18,1),(19,1),(23,1),(42,1)}
       31:{1,3,7}:{(18,1),(20,1),(39,1),(42,1),(55,1)}
       32:{2,3,7}:{(19,1),(20,1),(40,1),(42,1),(55,1)}
       33:{1,2,4}:{(21,1),(22,1),(23,1),(43,1)}
       34:{1,5}:{(24,1),(26,1)}
       35:{2,5}:{(24,1),(27,1)}
       36:{3,5,7}:{(24,1),(25,1),(28,1),(45,1),(46,1),(47,1)}
       37:{4,6}:{(25,1),(47,1),(48,1)}
       38:{1,2,4,6}:{(26,1),(27,1),(30,1),(33,1),(44,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       39:{1,4,7}:{(26,1),(28,1),(31,1),(45,1)}
       40:{2,4,7}:{(27,1),(28,1),(32,1),(46,1)}
       41:{5,7}:{(29,1),(48,1)}
       42:{1,2,7}:{(30,1),(31,1),(32,1)}
       43:{3}:{(33,1)}
       44:{1,2,5}:{(34,1),(35,1),(38,1),(51,1),(62,1)}
       45:{1,5,7}:{(34,1),(36,1),(39,1),(53,1)}
       46:{2,5,7}:{(35,1),(36,1),(40,1),(54,1)}
       47:{3,6}:{(36,1),(37,1),(53,1),(54,1)}
       48:{5,6}:{(37,1),(41,1),(62,1)}
       49:{3,6}:{(38,1),(43,1),(51,1),(55,1)}
       50:{1,2,4,7}:{(38,1),(39,1),(40,1),(42,1),(52,1),(55,1),(59,1)}
       51:{3,5}:{(44,1),(49,1),(56,1)}
       52:{1,2,5,7}:{(44,1),(45,1),(46,1),(50,1),(57,1),(58,1)}
       53:{1,6}:{(45,1),(47,1)}
       54:{2,6}:{(46,1),(47,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{4}:{(51,1)}
       57:{3,5,7}:{(51,1),(52,1),(55,1),(59,1),(60,1),(62,1)}
       58:{1,2,6}:{(52,1),(53,1),(54,1),(60,1)}
       59:{4,7}:{(56,1),(57,1),(61,1)}
       60:{3,6}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 571 :   0:{3,4,5,7}:{(1,1),(2,1),(3,1),(18,1),(26,1),(85,1),(118,1),(122,1),(126,1),(128,1),(139,1)}
         1:{1,4,5,7}:{(0,1),(7,1),(10,1),(39,1),(88,1),(91,1),(115,1),(153,1)}
         2:{2,4,5,7}:{(0,1),(8,1),(11,1),(40,1),(57,1),(94,1),(145,1),(149,1)}
         3:{3,4,6}:{(0,1),(10,1),(11,1),(12,1),(51,1),(110,1)}
         4:{2,3,4,7}:{(8,1),(13,1),(14,1),(50,1),(94,1),(152,1),(189,1),(197,1)}
         5:{3,4,6,7}:{(3,1),(16,1),(17,1),(18,1),(21,1),(65,1),(69,1),(70,1),(122,1),(126,1),(128,1)}
         6:{3,5,6,7}:{(18,1),(19,1),(20,1),(21,1),(69,1),(70,1)}
         7:{1,3,5,7}:{(1,1),(15,1),(22,1),(23,1),(26,1),(60,1),(141,1),(178,1),(204,1)}
         8:{2,3,5,7}:{(2,1),(4,1),(24,1),(25,1),(26,1),(33,1),(169,1),(174,1),(206,1)}
         9:{1,2,4,5,7}:{(1,1),(2,1),(22,1),(24,1),(26,1),(27,1),(66,1),(71,1),(75,1),(84,1),(117,1),(121,1),(125,1),(128,1),(131,1),(135,1),(139,1),(171,1),(176,1),(204,1),(206,1)}
        10:{1,4,6}:{(1,1),(3,1),(23,1),(28,1)}
        11:{2,4,6}:{(2,1),(3,1),(25,1),(29,1)}
        12:{3,5,6}:{(3,1),(18,1),(28,1),(29,1),(30,1)}
        13:{1,2,4,7}:{(4,1),(24,1),(31,1),(32,1),(75,1),(202,1)}
        14:{2,3,4,6}:{(4,1),(25,1),(32,1),(33,1),(78,1),(79,1),(137,1),(140,1),(185,1)}
        15:{1,3,4,7}:{(7,1),(34,1),(35,1),(50,1),(91,1),(148,1),(164,1),(193,1)}
        16:{1,4,6,7}:{(5,1),(10,1),(36,1),(39,1),(91,1),(100,1),(153,1)}
        17:{2,4,6,7}:{(5,1),(11,1),(37,1),(40,1),(94,1),(99,1),(149,1)}
        18:{3,5,7}:{(5,1),(12,1),(39,1),(40,1),(41,1)}
        19:{1,5,6,7}:{(6,1),(39,1),(42,1),(100,1)}
        20:{2,5,6,7}:{(6,1),(40,1),(43,1),(99,1)}
        21:{4,6,7}:{(6,1),(41,1)}
        22:{1,2,5,7}:{(7,1),(34,1),(44,1),(45,1),(87,1),(166,1),(198,1)}
        23:{1,3,6}:{(7,1),(10,1),(45,1),(51,1),(208,1)}
        24:{1,2,5,7}:{(8,1),(13,1),(47,1),(48,1),(56,1),(190,1),(194,1)}
        25:{2,3,6}:{(8,1),(11,1),(48,1),(51,1),(209,1)}
        26:{3,5,7}:{(9,1),(50,1),(51,1),(109,1),(114,1),(144,1),(148,1),(152,1)}
        27:{1,2,4,6}:{(9,1),(10,1),(11,1),(45,1),(48,1),(51,1),(52,1),(101,1),(105,1),(110,1),(191,1),(195,1),(208,1),(209,1)}
        28:{1,5,6}:{(10,1),(12,1),(39,1)}
        29:{2,5,6}:{(11,1),(12,1),(40,1)}
        30:{4,5,6}:{(12,1),(41,1),(110,1)}
        31:{1,3,7}:{(13,1),(55,1),(152,1),(207,1)}
        32:{1,2,4,6}:{(13,1),(14,1),(48,1),(55,1),(56,1),(105,1),(113,1)}
        33:{2,3,5}:{(14,1),(56,1),(57,1),(109,1),(114,1),(200,1)}
        34:{1,2,4,7}:{(15,1),(22,1),(58,1),(59,1),(71,1),(187,1)}
        35:{1,3,4,6}:{(15,1),(23,1),(59,1),(60,1),(74,1),(79,1),(133,1),(167,1),(182,1)}
        36:{1,3,6,7}:{(16,1),(23,1),(61,1),(62,1),(65,1),(69,1),(178,1)}
        37:{2,3,6,7}:{(17,1),(25,1),(63,1),(64,1),(65,1),(70,1),(174,1)}
        38:{1,2,4,6,7}:{(16,1),(17,1),(27,1),(61,1),(63,1),(65,1),(66,1),(119,1),(121,1),(123,1),(125,1),(128,1)}
        39:{1,5,7}:{(16,1),(18,1),(28,1)}
        40:{2,5,7}:{(17,1),(18,1),(29,1)}
        41:{4,5,7}:{(18,1),(21,1),(30,1),(128,1)}
        42:{1,4,6,7}:{(19,1),(21,1),(67,1),(69,1)}
        43:{2,4,6,7}:{(20,1),(21,1),(68,1),(70,1)}
        44:{2,3,5,7}:{(22,1),(26,1),(58,1),(71,1),(72,1),(116,1),(131,1),(142,1),(179,1),(206,1)}
        45:{1,2,6}:{(22,1),(23,1),(72,1)}
        46:{1,3,5,6}:{(23,1),(28,1),(60,1),(62,1),(73,1),(74,1),(80,1),(81,1),(133,1)}
        47:{1,3,5,7}:{(24,1),(26,1),(31,1),(75,1),(76,1),(83,1),(135,1),(168,1),(173,1),(204,1)}
        48:{1,2,6}:{(24,1),(25,1),(76,1)}
        49:{2,3,5,6}:{(25,1),(29,1),(33,1),(64,1),(77,1),(78,1),(80,1),(82,1),(137,1)}
        50:{3,4,7}:{(26,1),(71,1),(75,1),(79,1),(128,1),(140,1),(167,1)}
        51:{3,6}:{(26,1),(27,1)}
        52:{1,2,5,6}:{(27,1),(28,1),(29,1),(66,1),(80,1),(131,1),(135,1),(170,1),(175,1)}
        53:{1,4,5,6}:{(28,1),(30,1),(67,1),(74,1),(81,1)}
        54:{2,4,5,6}:{(29,1),(30,1),(68,1),(78,1),(82,1)}
        55:{1,3,6}:{(31,1),(32,1),(83,1),(137,1)}
        56:{1,2,5}:{(32,1),(33,1),(83,1),(135,1)}
        57:{2,4,5}:{(33,1),(78,1),(85,1),(139,1)}
        58:{2,3,7}:{(34,1),(86,1),(148,1),(201,1)}
        59:{1,2,4,6}:{(34,1),(35,1),(45,1),(86,1),(87,1),(101,1),(143,1)}
        60:{1,3,5}:{(35,1),(87,1),(88,1),(109,1),(144,1),(199,1)}
        61:{1,2,6,7}:{(36,1),(45,1),(89,1),(90,1),(99,1),(198,1),(208,1)}
        62:{1,3,5,7}:{(36,1),(39,1),(46,1),(90,1),(91,1),(96,1),(97,1),(148,1)}
        63:{1,2,6,7}:{(37,1),(48,1),(92,1),(93,1),(100,1),(194,1),(209,1)}
        64:{2,3,5,7}:{(37,1),(40,1),(49,1),(93,1),(94,1),(96,1),(98,1),(152,1)}
        65:{3,6,7}:{(38,1),(51,1),(96,1),(148,1),(152,1)}
        66:{1,2,5,7}:{(38,1),(39,1),(40,1),(52,1),(96,1),(146,1),(150,1)}
        67:{1,4,5,7}:{(39,1),(41,1),(42,1),(53,1),(91,1),(97,1)}
        68:{2,4,5,7}:{(40,1),(41,1),(43,1),(54,1),(94,1),(98,1)}
        69:{3,6,7}:{(42,1),(97,1),(99,1)}
        70:{3,6,7}:{(43,1),(98,1),(100,1)}
        71:{2,4,7}:{(44,1),(50,1),(101,1),(143,1),(165,1)}
        72:{2,3,6}:{(44,1),(45,1),(51,1),(101,1),(209,1)}
        73:{1,2,5,6}:{(45,1),(46,1),(87,1),(90,1),(102,1),(103,1),(111,1),(199,1),(208,1)}
        74:{1,4,6}:{(46,1),(88,1),(91,1),(104,1),(110,1)}
        75:{1,4,7}:{(47,1),(50,1),(105,1),(113,1),(188,1)}
        76:{1,3,6}:{(47,1),(48,1),(51,1),(105,1),(208,1)}
        77:{1,2,5,6}:{(48,1),(49,1),(56,1),(93,1),(106,1),(107,1),(112,1),(200,1),(209,1)}
        78:{2,4,6}:{(49,1),(57,1),(94,1),(108,1),(110,1)}
        79:{3,4,6}:{(50,1),(51,1),(101,1),(105,1),(109,1),(110,1)}
        80:{3,5,6}:{(51,1),(52,1),(96,1),(109,1),(110,1)}
        81:{3,5,6}:{(53,1),(97,1),(104,1),(111,1)}
        82:{3,5,6}:{(54,1),(98,1),(108,1),(112,1)}
        83:{1,3,5}:{(55,1),(56,1),(113,1),(114,1)}
        84:{1,2,4,5}:{(56,1),(57,1),(107,1),(113,1),(114,1),(115,1),(160,1),(165,1),(166,1),(200,1)}
        85:{3,4,5}:{(57,1),(108,1),(114,1),(115,1)}
        86:{2,3,6}:{(58,1),(59,1),(116,1),(133,1)}
        87:{1,2,5}:{(59,1),(60,1),(116,1),(131,1)}
        88:{1,4,5}:{(60,1),(74,1),(118,1),(139,1)}
        89:{2,3,6,7}:{(61,1),(65,1),(72,1),(119,1),(120,1),(179,1),(203,1)}
        90:{1,2,5,7}:{(61,1),(62,1),(73,1),(120,1),(121,1),(129,1),(204,1)}
        91:{1,4,7}:{(62,1),(74,1),(122,1),(128,1)}
        92:{1,3,6,7}:{(63,1),(65,1),(76,1),(123,1),(124,1),(173,1),(205,1)}
        93:{1,2,5,7}:{(63,1),(64,1),(77,1),(124,1),(125,1),(130,1),(206,1)}
        94:{2,4,7}:{(64,1),(78,1),(126,1),(128,1)}
        95:{3,4,6,7}:{(65,1),(79,1),(119,1),(123,1),(127,1),(128,1),(172,1),(177,1),(180,1),(203,1),(205,1)}
        96:{3,5,7}:{(65,1),(66,1),(80,1),(128,1)}
        97:{3,5,7}:{(67,1),(69,1),(81,1),(122,1),(129,1)}
        98:{3,5,7}:{(68,1),(70,1),(82,1),(126,1),(130,1)}
        99:{2,6,7}:{(69,1),(129,1)}
       100:{1,6,7}:{(70,1),(130,1)}
       101:{2,4,6}:{(71,1),(72,1),(79,1),(131,1)}
       102:{2,3,5,6}:{(72,1),(73,1),(80,1),(116,1),(120,1),(131,1),(132,1),(133,1),(170,1),(181,1),(203,1)}
       103:{1,2,4,6}:{(73,1),(74,1),(117,1),(121,1),(132,1),(133,1),(134,1),(182,1),(183,1)}
       104:{3,4,6}:{(74,1),(81,1),(118,1),(122,1),(133,1),(134,1)}
       105:{1,4,6}:{(75,1),(76,1),(79,1),(135,1)}
       106:{1,3,5,6}:{(76,1),(77,1),(80,1),(83,1),(124,1),(135,1),(136,1),(137,1),(175,1),(184,1),(205,1)}
       107:{1,2,4,6}:{(77,1),(78,1),(84,1),(125,1),(136,1),(137,1),(138,1),(185,1),(186,1)}
       108:{3,4,6}:{(78,1),(82,1),(85,1),(126,1),(137,1),(138,1)}
       109:{3,5}:{(79,1),(131,1),(135,1),(139,1)}
       110:{4,6}:{(80,1),(128,1),(139,1)}
       111:{2,5,6}:{(81,1),(129,1),(134,1)}
       112:{1,5,6}:{(82,1),(130,1),(138,1)}
       113:{1,4}:{(83,1),(140,1)}
       114:{3,5}:{(84,1),(137,1),(140,1)}
       115:{1,4,5}:{(85,1),(138,1),(141,1)}
       116:{2,3,5}:{(86,1),(87,1),(143,1),(144,1)}
       117:{1,2,4,5}:{(87,1),(88,1),(103,1),(143,1),(144,1),(145,1),(156,1),(188,1),(190,1),(199,1)}
       118:{3,4,5}:{(88,1),(104,1),(144,1),(145,1)}
       119:{2,4,6,7}:{(89,1),(95,1),(101,1),(146,1),(147,1),(191,1),(197,1),(209,1)}
       120:{2,3,5,7}:{(89,1),(90,1),(96,1),(102,1),(146,1),(147,1),(148,1),(192,1)}
       121:{1,2,4,7}:{(90,1),(91,1),(103,1),(147,1),(148,1),(149,1),(193,1),(194,1)}
       122:{3,4,7}:{(91,1),(97,1),(104,1),(148,1),(149,1)}
       123:{1,4,6,7}:{(92,1),(95,1),(105,1),(150,1),(151,1),(193,1),(195,1),(208,1)}
       124:{1,3,5,7}:{(92,1),(93,1),(96,1),(106,1),(150,1),(151,1),(152,1),(196,1)}
       125:{1,2,4,7}:{(93,1),(94,1),(107,1),(151,1),(152,1),(153,1),(197,1),(198,1)}
       126:{3,4,7}:{(94,1),(98,1),(108,1),(152,1),(153,1)}
       127:{3,5,7}:{(95,1),(109,1),(146,1),(150,1),(154,1),(155,1)}
       128:{4,7}:{(96,1),(110,1)}
       129:{2,5,7}:{(97,1),(99,1),(111,1),(149,1)}
       130:{1,5,7}:{(98,1),(100,1),(112,1),(153,1)}
       131:{2,5}:{(101,1),(109,1)}
       132:{2,4,6}:{(102,1),(110,1),(143,1),(147,1),(156,1),(157,1)}
       133:{3,6}:{(103,1),(144,1),(148,1)}
       134:{2,4,6}:{(104,1),(111,1),(145,1),(149,1),(159,1)}
       135:{1,5}:{(105,1),(109,1)}
       136:{1,4,6}:{(106,1),(110,1),(113,1),(151,1),(160,1),(161,1)}
       137:{3,6}:{(107,1),(114,1),(152,1)}
       138:{1,4,6}:{(108,1),(112,1),(115,1),(153,1),(162,1)}
       139:{4,5}:{(109,1),(110,1)}
       140:{3,4}:{(113,1),(114,1),(165,1)}
       141:{1,3,5}:{(114,1),(115,1),(162,1),(164,1),(166,1)}
       142:{2,3,5}:{(114,1),(163,1),(165,1),(166,1),(200,1),(201,1)}
       143:{2,4}:{(116,1),(167,1)}
       144:{3,5}:{(117,1),(133,1),(167,1)}
       145:{2,4,5}:{(118,1),(134,1),(169,1)}
       146:{2,5,7}:{(119,1),(127,1),(131,1),(170,1)}
       147:{2,4,7}:{(120,1),(128,1),(132,1),(172,1)}
       148:{3,7}:{(121,1),(133,1)}
       149:{2,4,7}:{(122,1),(129,1),(134,1),(174,1)}
       150:{1,5,7}:{(123,1),(127,1),(135,1),(175,1)}
       151:{1,4,7}:{(124,1),(128,1),(136,1),(177,1)}
       152:{3,7}:{(125,1),(137,1)}
       153:{1,4,7}:{(126,1),(130,1),(138,1),(178,1)}
       154:{3,5,6}:{(127,1),(170,1),(175,1),(180,1),(203,1),(205,1)}
       155:{4,5,7}:{(127,1),(128,1),(139,1),(180,1)}
       156:{2,4,5}:{(131,1),(132,1),(139,1),(181,1)}
       157:{3,4,6}:{(132,1),(133,1),(167,1),(172,1),(181,1),(182,1),(203,1)}
       158:{1,3,6}:{(133,1),(168,1),(173,1),(182,1),(183,1)}
       159:{2,3,6}:{(133,1),(134,1),(169,1),(174,1),(183,1)}
       160:{1,4,5}:{(135,1),(136,1),(139,1),(184,1)}
       161:{3,4,6}:{(136,1),(137,1),(140,1),(177,1),(184,1),(185,1),(205,1)}
       162:{1,3,6}:{(137,1),(138,1),(141,1),(178,1),(186,1)}
       163:{2,3,6}:{(137,1),(142,1),(179,1),(185,1),(186,1)}
       164:{1,3,4}:{(140,1),(141,1),(187,1)}
       165:{2,4}:{(140,1),(142,1)}
       166:{1,2,5}:{(141,1),(142,1),(186,1),(187,1)}
       167:{3,4}:{(143,1),(144,1),(188,1)}
       168:{1,3,5}:{(144,1),(158,1),(188,1),(190,1),(199,1),(207,1)}
       169:{2,3,5}:{(144,1),(145,1),(159,1),(189,1),(190,1)}
       170:{2,5,6}:{(146,1),(154,1),(191,1),(209,1)}
       171:{2,4,5,7}:{(146,1),(147,1),(155,1),(156,1),(191,1),(192,1)}
       172:{3,4,7}:{(147,1),(148,1),(157,1),(192,1),(193,1)}
       173:{1,3,7}:{(148,1),(158,1),(193,1),(194,1)}
       174:{2,3,7}:{(148,1),(149,1),(159,1),(194,1)}
       175:{1,5,6}:{(150,1),(154,1),(195,1),(208,1)}
       176:{1,4,5,7}:{(150,1),(151,1),(155,1),(160,1),(195,1),(196,1)}
       177:{3,4,7}:{(151,1),(152,1),(161,1),(196,1),(197,1)}
       178:{1,3,7}:{(152,1),(153,1),(162,1),(198,1)}
       179:{2,3,7}:{(152,1),(163,1),(197,1),(198,1)}
       180:{4,6}:{(154,1),(155,1)}
       181:{3,5}:{(156,1),(157,1),(199,1)}
       182:{1,4,6}:{(157,1),(158,1),(188,1),(193,1),(199,1),(208,1)}
       183:{1,2,6}:{(158,1),(159,1),(190,1),(194,1)}
       184:{3,5}:{(160,1),(161,1),(200,1)}
       185:{2,4,6}:{(161,1),(163,1),(165,1),(197,1),(200,1),(209,1)}
       186:{1,2,6}:{(162,1),(163,1),(166,1),(198,1)}
       187:{1,2,4}:{(164,1),(165,1),(166,1),(201,1)}
       188:{1,4}:{(167,1),(168,1)}
       189:{2,3,4}:{(167,1),(169,1),(202,1)}
       190:{1,2,5}:{(168,1),(169,1),(183,1),(202,1)}
       191:{2,4,6}:{(170,1),(171,1),(180,1),(203,1)}
       192:{3,5,7}:{(171,1),(172,1),(181,1),(203,1),(204,1)}
       193:{1,4,7}:{(172,1),(173,1),(182,1),(204,1)}
       194:{1,2,7}:{(173,1),(174,1),(183,1)}
       195:{1,4,6}:{(175,1),(176,1),(180,1),(205,1)}
       196:{3,5,7}:{(176,1),(177,1),(184,1),(205,1),(206,1)}
       197:{2,4,7}:{(177,1),(179,1),(185,1),(206,1)}
       198:{1,2,7}:{(178,1),(179,1),(186,1)}
       199:{1,5}:{(181,1),(182,1)}
       200:{2,5}:{(184,1),(185,1)}
       201:{2,3}:{(187,1)}
       202:{1,2,4}:{(188,1),(189,1),(190,1),(207,1)}
       203:{3,6}:{(191,1),(192,1),(208,1)}
       204:{1,5,7}:{(192,1),(193,1),(199,1),(208,1)}
       205:{3,6}:{(195,1),(196,1),(209,1)}
       206:{2,5,7}:{(196,1),(197,1),(200,1),(209,1)}
       207:{1,3}:{(202,1)}
       208:{1,6}:{(203,1),(204,1)}
       209:{2,6}:{(205,1),(206,1)}

 572 :  0:{1,3,4}:{(2,1),(3,1),(38,1)}
        1:{3,4,5}:{(5,1),(6,1),(7,1),(24,1),(71,1)}
        2:{1,3,5}:{(0,1),(5,1),(8,1),(9,1),(24,1)}
        3:{1,2,4}:{(0,1),(8,1),(10,1),(32,1)}
        4:{2,3,4}:{(11,1),(12,1),(38,1)}
        5:{1,4,5}:{(1,1),(2,1),(14,1)}
        6:{2,4,5}:{(1,1),(11,1),(15,1)}
        7:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(17,1),(39,1),(64,1)}
        8:{1,2,5}:{(2,1),(3,1),(18,1),(19,1)}
        9:{1,3,6}:{(2,1),(14,1),(19,1),(20,1),(39,1)}
       10:{2,3}:{(3,1)}
       11:{2,3,5}:{(4,1),(6,1),(21,1),(22,1),(24,1)}
       12:{1,2,4}:{(4,1),(21,1),(23,1),(48,1)}
       13:{1,2,4,5}:{(5,1),(6,1),(8,1),(21,1),(24,1),(25,1),(32,1),(48,1),(58,1),(69,1),(71,1)}
       14:{1,4,6}:{(5,1),(7,1),(9,1),(26,1),(27,1)}
       15:{2,4,6}:{(6,1),(7,1),(22,1),(28,1),(29,1)}
       16:{3,5,6}:{(7,1),(26,1),(28,1),(30,1),(31,1)}
       17:{3,4,7}:{(7,1),(27,1),(29,1),(31,1),(53,1),(73,1)}
       18:{2,3,5}:{(8,1),(10,1),(24,1),(32,1),(33,1),(58,1)}
       19:{1,2,6}:{(8,1),(9,1),(33,1),(34,1)}
       20:{1,3,7}:{(9,1),(27,1),(34,1),(53,1)}
       21:{1,2,5}:{(11,1),(12,1),(35,1),(36,1)}
       22:{2,3,6}:{(11,1),(15,1),(36,1),(37,1),(39,1)}
       23:{1,3}:{(12,1)}
       24:{3,5}:{(13,1),(38,1),(39,1)}
       25:{1,2,4,6}:{(13,1),(14,1),(15,1),(19,1),(36,1),(39,1),(40,1),(41,1),(46,1),(60,1),(64,1)}
       26:{1,5,6}:{(14,1),(16,1),(42,1)}
       27:{1,4,7}:{(14,1),(17,1),(20,1),(42,1)}
       28:{2,5,6}:{(15,1),(16,1),(43,1)}
       29:{2,4,7}:{(15,1),(17,1),(37,1),(43,1)}
       30:{4,5,6}:{(16,1),(44,1),(64,1),(83,1)}
       31:{3,5,7}:{(16,1),(17,1),(42,1),(43,1),(44,1),(45,1)}
       32:{2,4}:{(18,1),(38,1)}
       33:{2,3,6}:{(18,1),(19,1),(39,1),(46,1),(47,1)}
       34:{1,2,7}:{(19,1),(20,1),(47,1)}
       35:{1,3,5}:{(21,1),(23,1),(24,1),(48,1),(49,1),(69,1)}
       36:{1,2,6}:{(21,1),(22,1),(49,1),(50,1)}
       37:{2,3,7}:{(22,1),(29,1),(50,1),(53,1)}
       38:{3,4}:{(24,1),(32,1),(48,1)}
       39:{3,6}:{(24,1),(25,1),(53,1)}
       40:{1,2,5,6}:{(25,1),(26,1),(28,1),(52,1),(54,1),(58,1),(69,1),(75,1),(80,1)}
       41:{1,2,4,7}:{(25,1),(27,1),(29,1),(34,1),(50,1),(53,1),(54,1),(59,1),(70,1),(73,1)}
       42:{1,5,7}:{(26,1),(27,1),(31,1),(55,1)}
       43:{2,5,7}:{(28,1),(29,1),(31,1),(56,1)}
       44:{4,5,7}:{(30,1),(31,1),(57,1),(73,1),(82,1)}
       45:{3,6,7}:{(31,1),(55,1),(56,1),(57,1)}
       46:{2,4,6}:{(32,1),(33,1),(51,1),(58,1),(59,1),(75,1)}
       47:{2,3,7}:{(33,1),(34,1),(53,1),(59,1)}
       48:{1,4}:{(35,1),(38,1)}
       49:{1,3,6}:{(35,1),(36,1),(39,1),(60,1),(61,1)}
       50:{1,2,7}:{(36,1),(37,1),(61,1)}
       51:{3,4,6}:{(38,1),(39,1),(46,1),(60,1),(62,1),(63,1),(64,1),(78,1)}
       52:{3,5,6}:{(39,1),(40,1),(62,1),(64,1),(65,1),(78,1),(83,1)}
       53:{3,7}:{(39,1),(41,1)}
       54:{1,2,5,7}:{(40,1),(41,1),(42,1),(43,1),(65,1),(66,1),(68,1),(76,1)}
       55:{1,6,7}:{(42,1),(45,1)}
       56:{2,6,7}:{(43,1),(45,1)}
       57:{4,6,7}:{(44,1),(45,1),(67,1)}
       58:{2,5}:{(46,1),(62,1)}
       59:{2,4,7}:{(46,1),(47,1),(63,1),(68,1)}
       60:{1,4,6}:{(48,1),(49,1),(51,1),(69,1),(70,1),(80,1)}
       61:{1,3,7}:{(49,1),(50,1),(53,1),(70,1)}
       62:{3,5}:{(51,1),(58,1),(69,1),(71,1)}
       63:{3,4,7}:{(51,1),(53,1),(59,1),(70,1),(72,1),(73,1)}
       64:{4,6}:{(52,1),(71,1),(73,1)}
       65:{3,5,7}:{(52,1),(53,1),(54,1),(73,1),(74,1),(82,1)}
       66:{1,2,6,7}:{(54,1),(55,1),(56,1),(74,1),(75,1),(80,1)}
       67:{5,6,7}:{(57,1),(82,1)}
       68:{2,5,7}:{(58,1),(59,1),(72,1),(75,1)}
       69:{1,5}:{(60,1),(62,1)}
       70:{1,4,7}:{(60,1),(61,1),(63,1),(76,1)}
       71:{4,5}:{(62,1),(64,1)}
       72:{3,5,7}:{(62,1),(63,1),(68,1),(76,1),(77,1),(78,1)}
       73:{4,7}:{(64,1),(65,1)}
       74:{3,6,7}:{(65,1),(66,1),(78,1),(79,1)}
       75:{2,6}:{(68,1),(78,1)}
       76:{1,5,7}:{(69,1),(70,1),(72,1),(80,1)}
       77:{4,5,7}:{(71,1),(72,1),(73,1),(81,1),(82,1)}
       78:{3,6}:{(72,1),(75,1),(80,1),(81,1)}
       79:{4,6,7}:{(73,1),(74,1),(81,1),(82,1)}
       80:{1,6}:{(76,1),(78,1)}
       81:{4,6}:{(77,1),(78,1),(83,1)}
       82:{5,7}:{(79,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 573 :   0:{1,4,5,7}:{(2,1),(3,1),(5,1),(13,1),(21,1),(36,1),(38,1)}
         1:{1,4,6,7}:{(3,1),(4,1),(5,1),(21,1)}
         2:{3,5,7}:{(0,1),(6,1),(8,1),(9,1),(26,1)}
         3:{1,4,6}:{(0,1),(9,1),(10,1),(30,1)}
         4:{3,6,7}:{(1,1),(9,1),(11,1),(12,1)}
         5:{1,5,7}:{(1,1),(10,1),(12,1),(53,1)}
         6:{3,4,7}:{(2,1),(13,1),(14,1),(15,1),(21,1),(34,1),(42,1)}
         7:{1,3,5,7}:{(2,1),(13,1),(16,1),(17,1),(34,1),(36,1),(60,1)}
         8:{2,5,7}:{(2,1),(14,1),(18,1),(37,1)}
         9:{3,6}:{(2,1),(3,1),(18,1)}
        10:{1,5,6}:{(3,1),(5,1),(19,1),(36,1),(64,1)}
        11:{2,6,7}:{(4,1),(18,1),(20,1)}
        12:{3,5,7}:{(4,1),(5,1),(19,1),(20,1),(21,1),(42,1)}
        13:{1,4,7}:{(6,1),(7,1),(24,1),(53,1),(72,1)}
        14:{2,4,7}:{(6,1),(8,1),(22,1),(25,1)}
        15:{3,4,6}:{(6,1),(9,1),(24,1),(25,1),(26,1),(30,1),(47,1),(52,1),(69,1),(72,1)}
        16:{1,2,5,7}:{(7,1),(8,1),(23,1),(27,1),(28,1),(48,1),(65,1)}
        17:{1,3,6}:{(7,1),(9,1),(24,1),(28,1),(47,1),(89,1)}
        18:{2,6}:{(8,1),(9,1)}
        19:{3,5,6}:{(9,1),(10,1),(12,1),(26,1),(29,1),(30,1),(52,1)}
        20:{2,5,7}:{(11,1),(12,1),(29,1),(31,1)}
        21:{4,7}:{(12,1),(30,1)}
        22:{2,3,7}:{(14,1),(32,1),(33,1),(34,1),(42,1)}
        23:{1,2,4,7}:{(13,1),(14,1),(16,1),(32,1),(34,1),(35,1),(39,1),(54,1)}
        24:{1,4,6}:{(13,1),(15,1),(17,1),(36,1),(64,1),(80,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(33,1),(37,1),(57,1)}
        26:{3,5}:{(15,1),(36,1),(37,1),(38,1)}
        27:{2,3,5,7}:{(16,1),(34,1),(39,1),(40,1),(58,1),(60,1),(63,1)}
        28:{1,2,6}:{(16,1),(17,1),(18,1),(40,1),(76,1),(97,1)}
        29:{2,5,6}:{(18,1),(19,1),(20,1),(37,1),(41,1)}
        30:{4,6}:{(19,1),(21,1),(38,1)}
        31:{2,4,7}:{(20,1),(21,1),(41,1),(42,1)}
        32:{1,2,7}:{(22,1),(43,1),(44,1),(53,1),(104,1)}
        33:{2,3,6}:{(22,1),(25,1),(44,1),(45,1),(47,1),(52,1)}
        34:{3,7}:{(23,1),(47,1)}
        35:{1,2,4,6}:{(23,1),(24,1),(25,1),(28,1),(44,1),(47,1),(48,1),(51,1),(66,1),(68,1),(72,1)}
        36:{1,5}:{(24,1),(26,1)}
        37:{2,5}:{(25,1),(26,1)}
        38:{4,5}:{(26,1),(30,1),(72,1)}
        39:{2,4,7}:{(27,1),(46,1),(51,1),(72,1),(104,1)}
        40:{2,3,6}:{(27,1),(28,1),(47,1),(51,1),(70,1),(90,1)}
        41:{2,4,6}:{(29,1),(30,1),(31,1),(49,1),(52,1)}
        42:{3,7}:{(31,1),(52,1),(53,1)}
        43:{1,3,7}:{(32,1),(34,1),(54,1),(55,1),(102,1)}
        44:{1,2,6}:{(32,1),(33,1),(55,1),(56,1),(64,1),(103,1)}
        45:{2,3,5}:{(33,1),(37,1),(56,1),(57,1),(60,1),(61,1),(79,1)}
        46:{3,4,7}:{(34,1),(39,1),(54,1),(58,1),(59,1),(98,1),(102,1)}
        47:{3,6}:{(34,1),(35,1),(60,1),(79,1)}
        48:{1,2,5}:{(35,1),(36,1),(37,1),(60,1),(63,1),(77,1)}
        49:{2,4,5}:{(37,1),(38,1),(41,1),(57,1),(61,1)}
        50:{2,4,5,7}:{(39,1),(58,1),(62,1),(63,1),(83,1),(84,1),(98,1)}
        51:{2,4,6}:{(39,1),(40,1),(59,1),(63,1),(96,1),(103,1)}
        52:{3,6}:{(41,1),(42,1),(61,1),(64,1)}
        53:{1,7}:{(42,1),(64,1)}
        54:{1,4,7}:{(43,1),(46,1),(65,1),(66,1)}
        55:{1,3,6}:{(43,1),(44,1),(47,1),(66,1),(67,1),(100,1)}
        56:{1,2,5}:{(44,1),(45,1),(67,1),(68,1),(73,1),(101,1)}
        57:{2,4}:{(45,1),(69,1),(72,1)}
        58:{3,5,7}:{(46,1),(50,1),(65,1),(70,1),(71,1)}
        59:{3,4,6}:{(46,1),(47,1),(51,1),(66,1),(70,1),(71,1),(72,1),(88,1),(92,1),(100,1)}
        60:{3,5}:{(47,1),(48,1),(72,1)}
        61:{3,5}:{(49,1),(52,1),(69,1),(73,1)}
        62:{2,4,6}:{(50,1),(70,1),(75,1),(92,1)}
        63:{2,5}:{(51,1),(71,1)}
        64:{1,6}:{(52,1),(53,1),(73,1)}
        65:{1,5,7}:{(54,1),(58,1),(76,1),(77,1)}
        66:{1,4,6}:{(54,1),(55,1),(59,1),(76,1),(77,1),(78,1)}
        67:{1,3,5}:{(55,1),(56,1),(60,1),(77,1),(78,1),(79,1),(95,1)}
        68:{1,2,4}:{(56,1),(57,1),(78,1),(79,1),(80,1),(96,1),(97,1)}
        69:{3,4}:{(57,1),(61,1),(79,1),(80,1)}
        70:{3,6}:{(58,1),(62,1),(76,1)}
        71:{3,5}:{(59,1),(63,1),(77,1),(83,1)}
        72:{4}:{(60,1)}
        73:{1,5}:{(61,1),(64,1),(80,1)}
        74:{2,4,6,7}:{(62,1),(81,1),(84,1),(98,1)}
        75:{2,5,6}:{(62,1),(63,1),(82,1),(84,1),(103,1)}
        76:{1,6}:{(65,1),(70,1)}
        77:{1,5}:{(66,1),(71,1)}
        78:{1,4}:{(67,1),(72,1),(88,1)}
        79:{3}:{(68,1)}
        80:{1,4}:{(69,1),(73,1),(89,1)}
        81:{3,6,7}:{(70,1),(74,1),(85,1),(91,1)}
        82:{3,5,6}:{(70,1),(71,1),(75,1),(86,1),(91,1),(92,1),(100,1)}
        83:{4,5}:{(71,1),(72,1),(92,1)}
        84:{2,5,7}:{(74,1),(75,1),(91,1),(104,1)}
        85:{1,6,7}:{(76,1),(81,1),(93,1)}
        86:{1,5,6}:{(76,1),(77,1),(82,1),(93,1),(94,1)}
        87:{1,4,5}:{(77,1),(78,1),(83,1),(94,1),(95,1)}
        88:{3,4}:{(78,1),(79,1),(95,1),(96,1)}
        89:{1,3}:{(79,1),(80,1),(97,1)}
        90:{2,3}:{(79,1),(96,1),(97,1)}
        91:{3,5,7}:{(81,1),(82,1),(84,1),(93,1),(98,1),(102,1)}
        92:{4,6}:{(82,1),(83,1),(98,1)}
        93:{1,5,7}:{(85,1),(86,1),(91,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(92,1),(99,1),(100,1)}
        95:{3,5}:{(87,1),(88,1),(100,1),(101,1)}
        96:{2,4}:{(88,1),(90,1),(101,1)}
        97:{1,2}:{(89,1),(90,1)}
        98:{4,7}:{(91,1),(92,1)}
        99:{1,4,7}:{(93,1),(94,1),(98,1),(102,1)}
       100:{3,6}:{(94,1),(95,1),(102,1),(103,1)}
       101:{2,5}:{(95,1),(96,1),(103,1)}
       102:{3,7}:{(99,1),(100,1),(104,1)}
       103:{2,6}:{(100,1),(101,1),(104,1)}
       104:{2,7}:{(102,1),(103,1)}

 574 :   0:{2,3,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(32,1),(36,1),(99,1)}
         1:{1,2,5,6,7}:{(0,1),(3,1),(4,1),(22,1),(44,1),(51,1),(54,1),(80,1)}
         2:{2,4,6,7}:{(0,1),(5,1),(6,1),(50,1),(53,1),(117,1)}
         3:{1,3,5,6,7}:{(1,1),(7,1),(9,1),(26,1),(31,1),(59,1),(74,1)}
         4:{1,2,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(12,1),(28,1),(33,1),(71,1),(73,1),(98,1)}
         5:{2,4,5,7}:{(2,1),(10,1),(11,1),(129,1)}
         6:{3,4,6,7}:{(2,1),(9,1),(11,1),(12,1),(30,1),(34,1),(128,1)}
         7:{1,4,6,7}:{(3,1),(14,1),(15,1),(49,1),(78,1),(94,1)}
         8:{1,2,4,5,7}:{(4,1),(5,1),(14,1),(16,1),(17,1),(22,1),(44,1),(49,1),(50,1),(51,1)}
         9:{3,6,7}:{(4,1),(17,1),(91,1),(93,1),(116,1)}
        10:{2,4,5,6}:{(5,1),(20,1),(53,1)}
        11:{3,5,7}:{(5,1),(6,1),(20,1),(22,1),(136,1)}
        12:{1,4,6,7}:{(6,1),(18,1),(22,1),(49,1),(52,1),(135,1)}
        13:{2,3,4,6,7}:{(6,1),(19,1),(23,1),(24,1),(50,1),(53,1),(87,1),(91,1),(93,1),(96,1),(125,1)}
        14:{1,4,5,7}:{(7,1),(25,1),(26,1),(113,1)}
        15:{3,4,6,7}:{(7,1),(9,1),(26,1),(28,1),(30,1),(58,1),(112,1)}
        16:{1,2,4,5,6}:{(8,1),(10,1),(25,1),(29,1),(35,1),(60,1),(66,1),(67,1),(68,1),(73,1),(98,1),(105,1),(113,1),(129,1),(134,1),(139,1)}
        17:{3,5,7}:{(8,1),(9,1),(29,1),(30,1)}
        18:{1,3,6,7}:{(9,1),(12,1),(31,1),(33,1),(72,1),(127,1)}
        19:{2,3,6,7}:{(9,1),(28,1),(32,1),(33,1),(97,1),(111,1)}
        20:{3,5,6}:{(10,1),(11,1),(34,1),(35,1)}
        21:{3,4,5,7}:{(11,1),(30,1),(34,1),(37,1),(38,1),(65,1),(76,1)}
        22:{1,5,7}:{(11,1),(12,1),(35,1),(139,1)}
        23:{2,3,5,7}:{(11,1),(13,1),(36,1),(38,1),(39,1),(76,1),(104,1),(134,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(33,1),(39,1),(40,1),(71,1),(73,1),(77,1),(107,1)}
        25:{1,4,5,6}:{(14,1),(41,1),(78,1)}
        26:{3,5,7}:{(14,1),(15,1),(41,1),(44,1),(126,1)}
        27:{1,3,4,6,7}:{(15,1),(18,1),(43,1),(45,1),(49,1),(78,1),(86,1),(91,1),(116,1),(119,1),(135,1)}
        28:{2,4,6,7}:{(15,1),(19,1),(44,1),(50,1),(79,1),(125,1)}
        29:{3,5,6}:{(16,1),(17,1),(46,1),(93,1),(116,1),(122,1),(126,1),(136,1)}
        30:{3,4,7}:{(17,1),(46,1),(49,1),(50,1),(91,1)}
        31:{1,3,5,7}:{(17,1),(18,1),(22,1),(47,1),(49,1),(51,1),(91,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(44,1),(48,1),(50,1),(51,1),(91,1)}
        33:{1,2,6,7}:{(18,1),(19,1),(51,1),(92,1),(115,1)}
        34:{3,4,6}:{(20,1),(21,1),(52,1),(53,1),(93,1)}
        35:{1,5,6}:{(20,1),(22,1),(52,1)}
        36:{2,3,5,6}:{(20,1),(23,1),(53,1),(54,1),(93,1)}
        37:{1,4,5,7}:{(21,1),(22,1),(49,1),(52,1),(55,1),(84,1)}
        38:{2,4,5,7}:{(21,1),(23,1),(50,1),(53,1),(85,1)}
        39:{1,2,5,7}:{(22,1),(23,1),(24,1),(54,1),(57,1),(121,1)}
        40:{1,3,6,7}:{(24,1),(57,1),(91,1),(93,1),(124,1)}
        41:{3,5,6}:{(25,1),(26,1),(58,1),(60,1)}
        42:{3,4,5,7}:{(26,1),(30,1),(58,1),(61,1),(62,1),(65,1),(101,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(59,1),(61,1),(63,1),(101,1),(103,1),(139,1)}
        44:{2,5,7}:{(26,1),(28,1),(60,1),(134,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(33,1),(63,1),(64,1),(71,1),(98,1),(102,1),(106,1)}
        46:{3,4,6}:{(29,1),(30,1),(65,1),(66,1),(67,1),(108,1),(133,1)}
        47:{1,3,5,6}:{(29,1),(31,1),(35,1),(66,1),(68,1),(72,1),(103,1),(108,1),(127,1),(132,1),(139,1)}
        48:{2,3,5,6}:{(29,1),(32,1),(60,1),(67,1),(68,1),(97,1),(104,1),(108,1),(111,1),(131,1),(134,1)}
        49:{1,4,7}:{(30,1),(31,1),(66,1)}
        50:{2,4,7}:{(30,1),(32,1),(67,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(68,1),(71,1)}
        52:{1,4,6}:{(34,1),(35,1),(37,1),(72,1)}
        53:{2,4,6}:{(34,1),(36,1),(38,1)}
        54:{1,2,5,6}:{(35,1),(36,1),(39,1),(73,1),(74,1),(134,1)}
        55:{1,3,5,7}:{(37,1),(69,1),(72,1),(75,1),(76,1),(103,1)}
        56:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(71,1),(73,1),(75,1),(76,1),(77,1),(105,1),(113,1),(114,1),(134,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(74,1),(76,1),(77,1),(132,1)}
        58:{3,4,6}:{(41,1),(42,1),(78,1),(79,1),(116,1)}
        59:{1,3,5,6}:{(41,1),(43,1),(78,1),(80,1),(116,1)}
        60:{2,5,6}:{(41,1),(44,1),(79,1)}
        61:{1,4,5,7}:{(42,1),(43,1),(49,1),(78,1),(84,1)}
        62:{2,4,5,7}:{(42,1),(44,1),(50,1),(79,1),(81,1),(85,1)}
        63:{1,2,5,7}:{(43,1),(44,1),(45,1),(80,1),(83,1),(120,1)}
        64:{2,3,6,7}:{(45,1),(83,1),(91,1),(116,1),(123,1)}
        65:{3,4,5}:{(46,1),(84,1),(85,1),(122,1),(126,1),(136,1)}
        66:{1,4,6}:{(46,1),(47,1),(49,1),(84,1),(138,1)}
        67:{2,4,6}:{(46,1),(48,1),(50,1),(85,1),(137,1)}
        68:{1,2,5,6}:{(47,1),(48,1),(51,1),(88,1),(92,1),(115,1),(120,1),(121,1)}
        69:{1,3,4,7}:{(49,1),(55,1),(86,1),(89,1),(91,1),(96,1)}
        70:{2,3,4,7}:{(50,1),(81,1),(87,1),(90,1),(91,1),(119,1)}
        71:{1,2,4,7}:{(49,1),(50,1),(51,1),(88,1),(91,1)}
        72:{1,3,6}:{(52,1),(55,1),(92,1),(93,1)}
        73:{1,2,4,6}:{(52,1),(53,1),(54,1),(56,1),(92,1),(93,1),(94,1),(125,1)}
        74:{1,3,5,6}:{(54,1),(57,1),(93,1),(94,1),(126,1)}
        75:{1,2,5,7}:{(55,1),(89,1),(92,1),(95,1),(120,1)}
        76:{3,5,7}:{(56,1),(91,1),(93,1),(96,1),(122,1),(126,1)}
        77:{1,4,7}:{(57,1),(94,1),(96,1),(138,1)}
        78:{1,4,6}:{(58,1),(59,1),(61,1)}
        79:{2,4,6}:{(58,1),(60,1),(62,1),(97,1)}
        80:{1,2,5,6}:{(59,1),(60,1),(63,1),(98,1),(99,1),(139,1)}
        81:{2,3,5,7}:{(62,1),(70,1),(97,1),(100,1),(101,1),(104,1)}
        82:{1,2,4,5,7}:{(61,1),(62,1),(63,1),(71,1),(98,1),(100,1),(101,1),(102,1),(105,1),(129,1),(130,1),(139,1)}
        83:{2,3,5,7}:{(63,1),(64,1),(99,1),(101,1),(102,1),(131,1)}
        84:{1,4,5}:{(65,1),(66,1),(103,1),(139,1)}
        85:{2,4,5}:{(65,1),(67,1),(104,1),(134,1)}
        86:{1,3,4,6}:{(66,1),(69,1),(72,1),(103,1),(106,1),(108,1),(112,1),(133,1)}
        87:{2,3,4,6}:{(67,1),(70,1),(97,1),(104,1),(107,1),(108,1),(128,1),(133,1)}
        88:{1,2,4,6}:{(66,1),(67,1),(68,1),(71,1),(105,1),(108,1)}
        89:{1,2,4,7}:{(69,1),(75,1),(106,1),(109,1),(114,1)}
        90:{1,2,4,7}:{(70,1),(100,1),(107,1),(110,1),(130,1)}
        91:{3,7}:{(71,1),(108,1)}
        92:{1,2,6}:{(72,1),(75,1),(111,1)}
        93:{3,6}:{(73,1),(76,1)}
        94:{1,4,6}:{(74,1),(77,1),(112,1),(113,1)}
        95:{2,3,5,7}:{(75,1),(76,1),(109,1),(111,1),(114,1),(131,1),(134,1)}
        96:{3,4,7}:{(76,1),(77,1),(112,1),(114,1),(133,1)}
        97:{2,3,6}:{(79,1),(81,1),(115,1),(116,1)}
        98:{1,2,4,6}:{(78,1),(79,1),(80,1),(82,1),(115,1),(116,1),(117,1),(135,1)}
        99:{2,3,5,6}:{(80,1),(83,1),(116,1),(117,1),(136,1)}
       100:{1,2,5,7}:{(81,1),(90,1),(115,1),(118,1),(121,1)}
       101:{3,5,7}:{(82,1),(91,1),(116,1),(119,1),(122,1),(136,1)}
       102:{2,4,7}:{(83,1),(117,1),(119,1),(137,1)}
       103:{1,3,5}:{(84,1),(86,1),(120,1),(122,1),(126,1)}
       104:{2,3,5}:{(85,1),(87,1),(121,1),(122,1),(136,1)}
       105:{1,2,4,5}:{(84,1),(85,1),(88,1),(120,1),(121,1),(122,1),(137,1),(138,1)}
       106:{1,2,4,6}:{(86,1),(89,1),(92,1),(120,1),(123,1),(125,1),(137,1)}
       107:{1,2,4,6}:{(87,1),(90,1),(115,1),(121,1),(124,1),(135,1),(138,1)}
       108:{3,6}:{(88,1),(91,1),(122,1)}
       109:{2,3,7}:{(89,1),(91,1),(123,1)}
       110:{1,3,7}:{(90,1),(91,1),(124,1)}
       111:{2,3,6}:{(92,1),(93,1),(95,1),(125,1)}
       112:{3,4,6}:{(93,1),(94,1),(96,1),(125,1),(126,1)}
       113:{1,4,5}:{(94,1),(126,1)}
       114:{2,4,7}:{(95,1),(96,1),(125,1),(137,1)}
       115:{1,2,6}:{(97,1),(100,1),(127,1)}
       116:{3,6}:{(98,1),(101,1)}
       117:{2,4,6}:{(99,1),(102,1),(128,1),(129,1)}
       118:{1,3,5,7}:{(100,1),(101,1),(110,1),(127,1),(130,1),(132,1),(139,1)}
       119:{3,4,7}:{(101,1),(102,1),(128,1),(130,1),(133,1)}
       120:{1,2,5}:{(103,1),(106,1),(131,1),(134,1)}
       121:{1,2,5}:{(104,1),(107,1),(132,1),(139,1)}
       122:{3,5}:{(105,1),(108,1),(133,1)}
       123:{2,3,6}:{(106,1),(108,1),(109,1),(131,1)}
       124:{1,3,6}:{(107,1),(108,1),(110,1),(132,1)}
       125:{2,4,6}:{(111,1),(112,1),(114,1),(134,1)}
       126:{3,5}:{(112,1),(113,1),(134,1)}
       127:{1,3,6}:{(115,1),(116,1),(118,1),(135,1)}
       128:{3,4,6}:{(116,1),(117,1),(119,1),(135,1),(136,1)}
       129:{2,4,5}:{(117,1),(136,1)}
       130:{1,4,7}:{(118,1),(119,1),(135,1),(138,1)}
       131:{2,3,5}:{(120,1),(122,1),(123,1),(137,1)}
       132:{1,3,5}:{(121,1),(122,1),(124,1),(138,1)}
       133:{3,4}:{(122,1),(137,1),(138,1)}
       134:{2,5}:{(125,1),(126,1)}
       135:{1,4,6}:{(127,1),(128,1),(130,1),(139,1)}
       136:{3,5}:{(128,1),(129,1),(139,1)}
       137:{2,4}:{(131,1),(133,1)}
       138:{1,4}:{(132,1),(133,1)}
       139:{1,5}:{(135,1),(136,1)}

 575 :   0:{3,4,6,7}:{(3,1),(4,1),(5,1),(27,1),(28,1),(37,1),(68,1),(71,1),(72,1),(74,1),(125,1)}
         1:{2,3,6,7}:{(4,1),(6,1),(7,1),(28,1),(72,1),(123,1),(127,1)}
         2:{2,3,5,6}:{(7,1),(8,1),(9,1),(26,1),(33,1),(39,1),(69,1),(72,1),(80,1),(127,1),(161,1),(172,1)}
         3:{1,4,6,7}:{(0,1),(10,1),(13,1),(44,1),(46,1),(58,1),(100,1),(146,1)}
         4:{2,4,6,7}:{(0,1),(1,1),(14,1),(19,1),(47,1),(96,1),(99,1),(147,1)}
         5:{3,5,7}:{(0,1),(11,1),(13,1),(14,1),(15,1),(145,1)}
         6:{1,2,6,7}:{(1,1),(17,1),(18,1),(100,1),(144,1),(148,1),(151,1)}
         7:{2,3,5,7}:{(1,1),(2,1),(14,1),(18,1),(19,1),(49,1),(52,1),(57,1)}
         8:{1,2,5,6}:{(2,1),(18,1),(20,1),(21,1),(54,1),(100,1),(108,1),(113,1),(148,1),(151,1),(169,1)}
         9:{2,4,6}:{(2,1),(16,1),(19,1),(22,1),(97,1),(107,1),(174,1)}
        10:{1,3,6,7}:{(3,1),(23,1),(24,1),(28,1),(71,1),(84,1),(126,1)}
        11:{3,5,6}:{(5,1),(25,1),(26,1),(27,1),(71,1),(72,1)}
        12:{1,2,4,6,7}:{(3,1),(4,1),(6,1),(23,1),(28,1),(29,1),(34,1),(36,1),(65,1),(67,1),(70,1),(74,1),(162,1)}
        13:{1,5,7}:{(3,1),(5,1),(25,1),(160,1)}
        14:{2,5,7}:{(4,1),(5,1),(26,1),(161,1)}
        15:{4,5,7}:{(5,1),(27,1),(74,1),(124,1)}
        16:{2,4,5}:{(9,1),(33,1),(124,1),(161,1)}
        17:{1,3,6,7}:{(6,1),(28,1),(34,1),(35,1),(122,1),(126,1),(133,1)}
        18:{1,2,5,7}:{(6,1),(7,1),(8,1),(35,1),(36,1),(77,1),(134,1)}
        19:{2,4,7}:{(7,1),(9,1),(37,1),(74,1)}
        20:{1,3,5,6}:{(8,1),(35,1),(38,1),(39,1),(69,1),(79,1),(81,1),(86,1),(126,1),(133,1),(160,1),(172,1)}
        21:{1,2,4,6}:{(8,1),(9,1),(32,1),(36,1),(38,1),(39,1),(40,1),(87,1),(88,1),(132,1)}
        22:{3,4,6}:{(9,1),(33,1),(37,1),(39,1),(40,1),(72,1),(78,1)}
        23:{1,2,6,7}:{(10,1),(42,1),(43,1),(99,1),(112,1),(148,1),(168,1)}
        24:{1,3,5,7}:{(10,1),(13,1),(41,1),(43,1),(44,1),(49,1),(51,1),(95,1)}
        25:{1,5,6}:{(11,1),(13,1),(46,1),(100,1)}
        26:{2,5,6}:{(11,1),(14,1),(47,1),(99,1)}
        27:{4,6}:{(11,1),(15,1)}
        28:{3,6,7}:{(12,1),(49,1),(57,1),(95,1),(98,1),(170,1)}
        29:{1,2,5,7}:{(12,1),(13,1),(14,1),(45,1),(49,1),(55,1),(93,1),(169,1)}
        30:{1,4,5,7}:{(13,1),(15,1),(44,1),(46,1),(51,1),(89,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(16,1),(19,1),(47,1),(52,1)}
        32:{1,2,4,5}:{(16,1),(21,1),(53,1),(54,1),(59,1),(106,1),(107,1),(108,1),(113,1),(169,1),(174,1)}
        33:{3,5}:{(16,1),(22,1),(54,1)}
        34:{1,4,6,7}:{(17,1),(48,1),(55,1),(56,1),(109,1),(143,1),(146,1),(168,1)}
        35:{1,3,5,7}:{(17,1),(18,1),(20,1),(49,1),(55,1),(56,1),(57,1),(110,1)}
        36:{1,2,4,7}:{(18,1),(19,1),(21,1),(56,1),(57,1),(58,1),(111,1),(112,1)}
        37:{3,4,7}:{(19,1),(22,1),(52,1),(57,1),(58,1)}
        38:{1,4,6}:{(20,1),(56,1),(59,1),(60,1),(97,1),(106,1),(174,1)}
        39:{3,6}:{(21,1),(53,1),(57,1),(150,1)}
        40:{1,4,6}:{(22,1),(54,1),(58,1),(61,1),(100,1),(106,1)}
        41:{1,3,5,6}:{(24,1),(25,1),(63,1),(64,1),(69,1),(71,1),(115,1),(117,1),(126,1),(153,1),(160,1),(172,1)}
        42:{2,3,6,7}:{(23,1),(28,1),(65,1),(66,1),(85,1),(127,1),(158,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(63,1),(66,1),(67,1),(76,1),(159,1)}
        44:{1,4,7}:{(24,1),(64,1),(68,1),(74,1)}
        45:{1,2,5,6}:{(25,1),(26,1),(29,1),(69,1),(70,1),(81,1),(119,1),(160,1),(161,1)}
        46:{1,4,6}:{(25,1),(27,1),(30,1),(71,1)}
        47:{2,4,6}:{(26,1),(27,1),(31,1),(72,1)}
        48:{3,4,6,7}:{(28,1),(34,1),(65,1),(73,1),(74,1),(83,1),(121,1),(125,1),(128,1),(133,1),(158,1)}
        49:{3,5,7}:{(28,1),(29,1),(69,1),(74,1),(172,1)}
        50:{1,2,4,5,7}:{(29,1),(30,1),(31,1),(32,1),(36,1),(67,1),(70,1),(74,1),(75,1),(76,1),(77,1),(82,1),(114,1),(120,1),(124,1),(129,1),(130,1),(131,1),(134,1),(159,1),(160,1),(161,1)}
        51:{3,5,7}:{(30,1),(68,1),(71,1),(76,1),(115,1)}
        52:{3,5,7}:{(31,1),(33,1),(37,1),(72,1),(77,1)}
        53:{3,5}:{(32,1),(39,1),(78,1)}
        54:{1,5}:{(33,1),(40,1)}
        55:{1,5,7}:{(34,1),(73,1),(81,1),(160,1)}
        56:{1,4,7}:{(35,1),(38,1),(74,1),(83,1)}
        57:{3,7}:{(36,1),(39,1)}
        58:{1,4,7}:{(37,1),(40,1),(77,1),(84,1)}
        59:{1,4,5}:{(38,1),(86,1),(124,1),(160,1)}
        60:{3,4,6}:{(38,1),(39,1),(78,1),(83,1),(86,1),(87,1),(133,1)}
        61:{1,3,6}:{(39,1),(40,1),(79,1),(84,1),(88,1)}
        62:{2,3,6}:{(39,1),(80,1),(85,1),(87,1),(88,1)}
        63:{1,2,5,6}:{(41,1),(43,1),(90,1),(91,1),(99,1),(136,1),(148,1),(166,1),(167,1),(168,1),(169,1)}
        64:{1,4,6}:{(41,1),(44,1),(89,1),(92,1),(97,1),(164,1),(174,1)}
        65:{2,4,6,7}:{(42,1),(48,1),(93,1),(94,1),(111,1),(141,1),(147,1),(151,1)}
        66:{2,3,5,7}:{(42,1),(43,1),(49,1),(90,1),(93,1),(94,1),(95,1),(142,1)}
        67:{1,2,4,7}:{(43,1),(44,1),(91,1),(94,1),(95,1),(96,1),(143,1),(144,1)}
        68:{3,4,7}:{(44,1),(51,1),(92,1),(95,1),(96,1)}
        69:{3,5,6}:{(45,1),(49,1),(97,1),(98,1),(145,1)}
        70:{1,2,4,6}:{(45,1),(46,1),(47,1),(50,1),(97,1),(98,1),(99,1),(100,1),(109,1),(141,1),(146,1),(147,1),(148,1),(151,1),(168,1)}
        71:{3,6}:{(46,1),(51,1),(99,1)}
        72:{3,6}:{(47,1),(52,1),(100,1)}
        73:{3,5,7}:{(48,1),(55,1),(93,1),(101,1),(102,1),(145,1)}
        74:{4,7}:{(49,1),(97,1),(174,1)}
        75:{3,5,7}:{(50,1),(53,1),(57,1),(95,1),(98,1),(103,1),(135,1),(145,1)}
        76:{2,5,7}:{(51,1),(96,1),(99,1),(136,1)}
        77:{1,5,7}:{(52,1),(54,1),(58,1),(100,1)}
        78:{3,4}:{(53,1),(106,1),(107,1),(150,1),(174,1)}
        79:{1,3,5}:{(53,1),(54,1),(61,1),(106,1),(108,1),(150,1)}
        80:{2,3,5}:{(53,1),(62,1),(107,1),(108,1),(113,1),(150,1)}
        81:{1,5,6}:{(55,1),(101,1),(109,1),(168,1)}
        82:{1,4,5,7}:{(55,1),(56,1),(59,1),(102,1),(109,1),(110,1)}
        83:{3,4,7}:{(56,1),(57,1),(60,1),(110,1),(111,1)}
        84:{1,3,7}:{(57,1),(58,1),(61,1),(112,1)}
        85:{2,3,7}:{(57,1),(62,1),(111,1),(112,1)}
        86:{3,5}:{(59,1),(60,1),(113,1)}
        87:{2,4,6}:{(60,1),(62,1),(107,1),(111,1),(113,1),(151,1)}
        88:{1,2,6}:{(61,1),(62,1),(108,1),(112,1)}
        89:{1,4,5}:{(64,1),(115,1),(124,1),(160,1)}
        90:{2,3,5,6}:{(63,1),(66,1),(69,1),(116,1),(117,1),(119,1),(127,1),(154,1),(155,1),(158,1),(161,1),(172,1)}
        91:{1,2,4,6}:{(63,1),(64,1),(67,1),(114,1),(116,1),(117,1),(118,1),(156,1),(157,1),(171,1)}
        92:{3,4,6}:{(64,1),(68,1),(71,1),(115,1),(117,1),(118,1),(152,1)}
        93:{2,5,7}:{(65,1),(73,1),(119,1),(161,1)}
        94:{2,4,7}:{(66,1),(74,1),(116,1),(121,1)}
        95:{3,7}:{(67,1),(117,1)}
        96:{2,4,7}:{(68,1),(76,1),(118,1),(123,1)}
        97:{4,6}:{(69,1),(74,1),(124,1)}
        98:{3,6}:{(70,1),(75,1)}
        99:{2,6}:{(71,1),(76,1)}
       100:{1,6}:{(72,1),(77,1)}
       101:{3,5,6}:{(73,1),(81,1),(119,1),(128,1),(133,1),(158,1)}
       102:{4,5,7}:{(73,1),(74,1),(124,1),(128,1)}
       103:{3,4,7}:{(74,1),(75,1),(78,1),(125,1),(129,1),(130,1),(152,1),(163,1)}
       104:{1,3,5,7}:{(75,1),(77,1),(79,1),(84,1),(122,1),(126,1),(129,1),(131,1),(153,1),(159,1),(160,1),(163,1),(172,1)}
       105:{2,3,5,7}:{(75,1),(76,1),(80,1),(85,1),(123,1),(127,1),(130,1),(131,1),(134,1),(154,1),(161,1),(163,1),(172,1)}
       106:{1,4}:{(78,1),(79,1)}
       107:{2,4}:{(78,1),(80,1)}
       108:{1,2,5}:{(79,1),(80,1),(88,1),(132,1)}
       109:{1,4,6}:{(81,1),(82,1),(128,1),(133,1)}
       110:{3,5,7}:{(82,1),(83,1),(86,1),(133,1),(134,1)}
       111:{2,4,7}:{(83,1),(85,1),(87,1),(134,1)}
       112:{1,2,7}:{(84,1),(85,1),(88,1)}
       113:{2,5}:{(86,1),(87,1)}
       114:{1,2,4,5}:{(89,1),(91,1),(135,1),(136,1),(137,1),(164,1),(165,1),(166,1),(167,1),(169,1),(174,1)}
       115:{3,5}:{(89,1),(92,1),(136,1)}
       116:{2,4,6}:{(90,1),(94,1),(97,1),(137,1),(138,1),(165,1),(174,1)}
       117:{3,6}:{(91,1),(95,1),(135,1),(173,1)}
       118:{2,4,6}:{(92,1),(96,1),(99,1),(136,1),(140,1),(165,1)}
       119:{2,5,6}:{(93,1),(101,1),(141,1),(151,1)}
       120:{2,4,5,7}:{(93,1),(94,1),(102,1),(137,1),(141,1),(142,1)}
       121:{3,4,7}:{(94,1),(95,1),(138,1),(142,1),(143,1)}
       122:{1,3,7}:{(95,1),(139,1),(143,1),(144,1)}
       123:{2,3,7}:{(95,1),(96,1),(140,1),(144,1)}
       124:{4,5}:{(97,1),(145,1),(174,1)}
       125:{3,4,6}:{(97,1),(98,1),(103,1),(145,1),(146,1),(147,1),(170,1),(174,1)}
       126:{1,3,6}:{(98,1),(100,1),(104,1),(146,1),(148,1),(168,1),(170,1)}
       127:{2,3,6}:{(98,1),(99,1),(105,1),(147,1),(148,1),(151,1),(170,1)}
       128:{4,6}:{(101,1),(102,1)}
       129:{1,4,7}:{(103,1),(104,1),(106,1),(146,1),(164,1),(174,1)}
       130:{2,4,7}:{(103,1),(105,1),(107,1),(147,1),(165,1),(174,1)}
       131:{1,2,5,7}:{(104,1),(105,1),(108,1),(112,1),(144,1),(148,1),(149,1),(166,1),(169,1)}
       132:{1,2,4}:{(106,1),(107,1),(108,1),(150,1)}
       133:{3,6}:{(109,1),(110,1),(151,1)}
       134:{2,5,7}:{(110,1),(111,1),(113,1),(151,1)}
       135:{3,5}:{(114,1),(117,1),(152,1)}
       136:{2,5}:{(115,1),(118,1)}
       137:{2,4,5}:{(116,1),(124,1),(155,1),(161,1)}
       138:{3,4,6}:{(116,1),(117,1),(121,1),(152,1),(155,1),(156,1),(158,1)}
       139:{1,3,6}:{(117,1),(122,1),(153,1),(156,1),(157,1)}
       140:{2,3,6}:{(117,1),(118,1),(123,1),(154,1),(157,1)}
       141:{2,4,6}:{(119,1),(120,1),(128,1),(158,1)}
       142:{3,5,7}:{(120,1),(121,1),(155,1),(158,1),(159,1)}
       143:{1,4,7}:{(121,1),(122,1),(156,1),(159,1)}
       144:{1,2,7}:{(122,1),(123,1),(157,1)}
       145:{3,5}:{(124,1),(125,1),(160,1),(161,1)}
       146:{1,4,6}:{(125,1),(126,1),(129,1),(160,1)}
       147:{2,4,6}:{(125,1),(127,1),(130,1),(161,1)}
       148:{1,2,6}:{(126,1),(127,1),(131,1)}
       149:{1,2,4,7}:{(129,1),(130,1),(131,1),(132,1),(162,1),(163,1),(171,1)}
       150:{3}:{(132,1)}
       151:{2,6}:{(133,1),(134,1)}
       152:{3,4}:{(135,1),(164,1),(165,1),(173,1),(174,1)}
       153:{1,3,5}:{(135,1),(139,1),(164,1),(166,1),(167,1),(173,1)}
       154:{2,3,5}:{(135,1),(136,1),(140,1),(165,1),(166,1),(173,1)}
       155:{3,5}:{(137,1),(138,1),(167,1)}
       156:{1,4,6}:{(138,1),(139,1),(143,1),(164,1),(167,1),(168,1)}
       157:{1,2,6}:{(139,1),(140,1),(144,1),(166,1)}
       158:{3,6}:{(141,1),(142,1),(168,1)}
       159:{1,5,7}:{(142,1),(143,1),(167,1),(168,1)}
       160:{1,5}:{(145,1),(146,1)}
       161:{2,5}:{(145,1),(147,1)}
       162:{1,2,4,6}:{(146,1),(147,1),(148,1),(149,1),(169,1),(170,1),(174,1)}
       163:{3,7}:{(149,1),(150,1),(170,1),(173,1)}
       164:{1,4}:{(152,1),(153,1)}
       165:{2,4}:{(152,1),(154,1)}
       166:{1,2,5}:{(153,1),(154,1),(157,1),(171,1)}
       167:{1,5}:{(155,1),(156,1)}
       168:{1,6}:{(158,1),(159,1)}
       169:{1,2,5}:{(160,1),(161,1),(162,1),(172,1)}
       170:{3,6}:{(162,1),(163,1),(172,1)}
       171:{1,2,4}:{(164,1),(165,1),(166,1),(173,1)}
       172:{3,5}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{4}:{(172,1)}

 576 :  0:{1,2,4,5}:{(1,1),(2,1),(9,1),(10,1),(12,1),(31,1),(33,1),(35,1)}
        1:{3,5}:{(0,1),(3,1),(6,1)}
        2:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(19,1),(20,1),(23,1),(26,1)}
        3:{3,4}:{(1,1),(9,1),(10,1),(29,1)}
        4:{1,3,5}:{(1,1),(9,1),(12,1),(13,1),(29,1),(31,1),(48,1)}
        5:{2,3,5}:{(1,1),(10,1),(12,1),(14,1),(29,1),(33,1),(48,1)}
        6:{3,6}:{(1,1),(2,1),(16,1)}
        7:{1,2,5,6}:{(2,1),(15,1),(17,1),(31,1),(33,1),(51,1),(52,1)}
        8:{1,2,4,7}:{(2,1),(16,1),(17,1),(32,1),(34,1),(37,1),(38,1)}
        9:{1,4}:{(3,1),(4,1),(55,1)}
       10:{2,4}:{(3,1),(5,1),(55,1)}
       11:{3,4,6}:{(3,1),(6,1),(19,1),(20,1),(21,1),(22,1),(26,1),(40,1),(46,1),(55,1),(61,1)}
       12:{1,2,5}:{(4,1),(5,1),(18,1),(23,1)}
       13:{1,3,6}:{(4,1),(6,1),(19,1),(23,1),(24,1),(40,1)}
       14:{2,3,6}:{(5,1),(6,1),(20,1),(23,1),(25,1),(40,1)}
       15:{3,5,6}:{(6,1),(7,1),(21,1),(26,1),(27,1),(46,1),(58,1)}
       16:{3,7}:{(6,1),(8,1)}
       17:{1,2,5,7}:{(7,1),(8,1),(27,1),(28,1),(43,1),(44,1)}
       18:{1,2,4}:{(9,1),(10,1),(12,1),(29,1)}
       19:{1,4,6}:{(9,1),(11,1),(13,1),(31,1),(32,1),(51,1)}
       20:{2,4,6}:{(10,1),(11,1),(14,1),(33,1),(34,1),(52,1)}
       21:{3,5}:{(11,1),(31,1),(33,1),(35,1),(62,1)}
       22:{3,4,7}:{(11,1),(16,1),(32,1),(34,1),(36,1),(38,1),(49,1),(59,1)}
       23:{1,2,6}:{(12,1),(13,1),(14,1),(37,1)}
       24:{1,3,7}:{(13,1),(16,1),(32,1),(37,1),(49,1)}
       25:{2,3,7}:{(14,1),(16,1),(34,1),(37,1),(49,1)}
       26:{4,6}:{(15,1),(35,1),(38,1)}
       27:{3,5,7}:{(15,1),(16,1),(17,1),(38,1),(39,1),(54,1)}
       28:{1,2,6,7}:{(17,1),(39,1),(51,1),(52,1)}
       29:{3}:{(18,1)}
       30:{1,2,4,6}:{(18,1),(19,1),(20,1),(23,1),(40,1),(41,1),(42,1),(55,1),(57,1),(61,1)}
       31:{1,5}:{(19,1),(21,1)}
       32:{1,4,7}:{(19,1),(22,1),(24,1),(43,1)}
       33:{2,5}:{(20,1),(21,1)}
       34:{2,4,7}:{(20,1),(22,1),(25,1),(44,1)}
       35:{4,5}:{(21,1),(26,1),(55,1)}
       36:{3,5,7}:{(21,1),(22,1),(43,1),(44,1),(45,1),(46,1)}
       37:{1,2,7}:{(23,1),(24,1),(25,1)}
       38:{4,7}:{(26,1),(27,1)}
       39:{3,6,7}:{(27,1),(28,1),(46,1),(47,1)}
       40:{3,6}:{(29,1),(30,1),(48,1),(49,1)}
       41:{1,2,5}:{(30,1),(31,1),(33,1),(48,1),(62,1)}
       42:{1,2,4,7}:{(30,1),(32,1),(34,1),(37,1),(49,1),(50,1),(59,1)}
       43:{1,5,7}:{(31,1),(32,1),(36,1),(51,1)}
       44:{2,5,7}:{(33,1),(34,1),(36,1),(52,1)}
       45:{4,5,7}:{(35,1),(36,1),(38,1),(53,1),(54,1),(59,1),(62,1)}
       46:{3,6}:{(36,1),(51,1),(52,1),(53,1)}
       47:{4,6,7}:{(38,1),(39,1),(53,1),(54,1)}
       48:{3,5}:{(40,1),(41,1),(55,1)}
       49:{3,7}:{(40,1),(42,1)}
       50:{1,2,5,7}:{(41,1),(42,1),(43,1),(44,1),(56,1),(57,1)}
       51:{1,6}:{(43,1),(46,1)}
       52:{2,6}:{(44,1),(46,1)}
       53:{4,6}:{(45,1),(46,1),(58,1)}
       54:{5,7}:{(47,1),(58,1)}
       55:{4}:{(48,1)}
       56:{3,5,7}:{(48,1),(49,1),(50,1),(59,1),(60,1),(62,1)}
       57:{1,2,6}:{(50,1),(51,1),(52,1),(60,1)}
       58:{5,6}:{(53,1),(54,1),(62,1)}
       59:{4,7}:{(55,1),(56,1),(61,1)}
       60:{3,6}:{(56,1),(57,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 577 :   0:{3,4,5,7}:{(1,1),(2,1),(3,1),(21,1),(27,1),(84,1),(87,1),(124,1),(132,1),(135,1),(136,1)}
         1:{1,4,5,7}:{(0,1),(6,1),(9,1),(47,1),(55,1),(93,1),(117,1),(162,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(10,1),(49,1),(58,1),(100,1),(114,1),(154,1)}
         3:{3,4,6}:{(0,1),(9,1),(10,1),(12,1),(44,1),(105,1)}
         4:{1,3,4,7}:{(6,1),(13,1),(14,1),(43,1),(93,1),(151,1),(170,1),(195,1)}
         5:{2,3,4,7}:{(7,1),(15,1),(16,1),(43,1),(100,1),(159,1),(168,1),(200,1)}
         6:{1,3,5,7}:{(1,1),(4,1),(17,1),(18,1),(21,1),(31,1),(145,1),(186,1),(205,1)}
         7:{2,3,5,7}:{(2,1),(5,1),(19,1),(20,1),(21,1),(34,1),(143,1),(179,1),(207,1)}
         8:{1,2,4,5,7}:{(1,1),(2,1),(17,1),(19,1),(21,1),(22,1),(59,1),(65,1),(74,1),(83,1),(86,1),(119,1),(122,1),(127,1),(130,1),(135,1),(136,1),(174,1),(182,1),(205,1),(207,1)}
         9:{1,4,6}:{(1,1),(3,1),(18,1),(24,1)}
        10:{2,4,6}:{(2,1),(3,1),(20,1),(26,1)}
        11:{3,4,6,7}:{(3,1),(23,1),(25,1),(27,1),(72,1),(81,1),(124,1),(132,1),(136,1),(137,1),(139,1)}
        12:{3,5,6}:{(3,1),(24,1),(26,1),(27,1),(28,1)}
        13:{1,2,4,7}:{(4,1),(17,1),(29,1),(30,1),(59,1),(191,1)}
        14:{1,3,4,6}:{(4,1),(18,1),(30,1),(31,1),(64,1),(71,1),(123,1),(141,1),(177,1)}
        15:{1,2,4,7}:{(5,1),(19,1),(32,1),(33,1),(65,1),(190,1)}
        16:{2,3,4,6}:{(5,1),(20,1),(33,1),(34,1),(70,1),(71,1),(131,1),(144,1),(185,1)}
        17:{1,2,5,7}:{(6,1),(13,1),(35,1),(36,1),(54,1),(172,1),(201,1)}
        18:{1,3,6}:{(6,1),(9,1),(36,1),(44,1),(208,1)}
        19:{1,2,5,7}:{(7,1),(15,1),(39,1),(40,1),(57,1),(169,1),(196,1)}
        20:{2,3,6}:{(7,1),(10,1),(40,1),(44,1),(209,1)}
        21:{3,5,7}:{(8,1),(43,1),(44,1),(103,1),(113,1),(116,1),(151,1),(159,1)}
        22:{1,2,4,6}:{(8,1),(9,1),(10,1),(36,1),(40,1),(44,1),(46,1),(88,1),(95,1),(105,1),(192,1),(197,1),(208,1),(209,1)}
        23:{1,4,6,7}:{(9,1),(11,1),(37,1),(47,1),(93,1),(162,1),(166,1)}
        24:{1,5,6}:{(9,1),(12,1),(47,1)}
        25:{2,4,6,7}:{(10,1),(11,1),(41,1),(49,1),(100,1),(154,1),(165,1)}
        26:{2,5,6}:{(10,1),(12,1),(49,1)}
        27:{3,5,7}:{(11,1),(12,1),(47,1),(49,1),(52,1)}
        28:{4,5,6}:{(12,1),(52,1),(105,1)}
        29:{2,3,7}:{(13,1),(53,1),(151,1),(203,1)}
        30:{1,2,4,6}:{(13,1),(14,1),(36,1),(53,1),(54,1),(88,1),(112,1)}
        31:{1,3,5}:{(14,1),(54,1),(55,1),(103,1),(113,1),(194,1)}
        32:{1,3,7}:{(15,1),(56,1),(159,1),(202,1)}
        33:{1,2,4,6}:{(15,1),(16,1),(40,1),(56,1),(57,1),(95,1),(115,1)}
        34:{2,3,5}:{(16,1),(57,1),(58,1),(103,1),(116,1),(199,1)}
        35:{2,3,5,7}:{(17,1),(21,1),(29,1),(59,1),(60,1),(82,1),(119,1),(146,1),(187,1),(207,1)}
        36:{1,2,6}:{(17,1),(18,1),(60,1)}
        37:{1,3,6,7}:{(18,1),(23,1),(61,1),(63,1),(72,1),(137,1),(186,1)}
        38:{1,3,5,6}:{(18,1),(24,1),(31,1),(62,1),(63,1),(64,1),(73,1),(77,1),(123,1)}
        39:{1,3,5,7}:{(19,1),(21,1),(32,1),(65,1),(66,1),(85,1),(127,1),(142,1),(178,1),(205,1)}
        40:{1,2,6}:{(19,1),(20,1),(66,1)}
        41:{2,3,6,7}:{(20,1),(25,1),(67,1),(69,1),(72,1),(139,1),(179,1)}
        42:{2,3,5,6}:{(20,1),(26,1),(34,1),(68,1),(69,1),(70,1),(73,1),(80,1),(131,1)}
        43:{3,4,7}:{(21,1),(59,1),(65,1),(71,1),(136,1),(141,1),(144,1)}
        44:{3,6}:{(21,1),(22,1)}
        45:{1,2,4,6,7}:{(22,1),(23,1),(25,1),(61,1),(67,1),(72,1),(74,1),(118,1),(122,1),(126,1),(130,1),(136,1)}
        46:{1,2,5,6}:{(22,1),(24,1),(26,1),(73,1),(74,1),(119,1),(127,1),(173,1),(181,1)}
        47:{1,5,7}:{(23,1),(24,1),(27,1)}
        48:{1,4,5,6}:{(24,1),(28,1),(64,1),(76,1),(77,1)}
        49:{2,5,7}:{(25,1),(26,1),(27,1)}
        50:{2,4,5,6}:{(26,1),(28,1),(70,1),(79,1),(80,1)}
        51:{3,5,6,7}:{(27,1),(75,1),(78,1),(81,1),(137,1),(139,1)}
        52:{4,5,7}:{(27,1),(28,1),(81,1),(136,1)}
        53:{2,3,6}:{(29,1),(30,1),(82,1),(123,1)}
        54:{1,2,5}:{(30,1),(31,1),(82,1),(119,1)}
        55:{1,4,5}:{(31,1),(64,1),(84,1),(135,1)}
        56:{1,3,6}:{(32,1),(33,1),(85,1),(131,1)}
        57:{1,2,5}:{(33,1),(34,1),(85,1),(127,1)}
        58:{2,4,5}:{(34,1),(70,1),(87,1),(135,1)}
        59:{2,4,7}:{(35,1),(43,1),(88,1),(112,1),(171,1)}
        60:{2,3,6}:{(35,1),(36,1),(44,1),(88,1),(209,1)}
        61:{1,2,6,7}:{(36,1),(37,1),(89,1),(91,1),(165,1),(201,1),(208,1)}
        62:{1,2,5,6}:{(36,1),(38,1),(54,1),(90,1),(91,1),(92,1),(108,1),(194,1),(208,1)}
        63:{1,3,5,7}:{(37,1),(38,1),(47,1),(91,1),(93,1),(104,1),(107,1),(151,1)}
        64:{1,4,6}:{(38,1),(55,1),(93,1),(94,1),(105,1)}
        65:{1,4,7}:{(39,1),(43,1),(95,1),(115,1),(167,1)}
        66:{1,3,6}:{(39,1),(40,1),(44,1),(95,1),(208,1)}
        67:{1,2,6,7}:{(40,1),(41,1),(96,1),(98,1),(166,1),(196,1),(209,1)}
        68:{1,2,5,6}:{(40,1),(42,1),(57,1),(97,1),(98,1),(99,1),(111,1),(199,1),(209,1)}
        69:{2,3,5,7}:{(41,1),(42,1),(49,1),(98,1),(100,1),(104,1),(110,1),(159,1)}
        70:{2,4,6}:{(42,1),(58,1),(100,1),(101,1),(105,1)}
        71:{3,4,6}:{(43,1),(44,1),(88,1),(95,1),(103,1),(105,1)}
        72:{3,6,7}:{(44,1),(45,1),(104,1),(151,1),(159,1)}
        73:{3,5,6}:{(44,1),(46,1),(103,1),(104,1),(105,1)}
        74:{1,2,5,7}:{(45,1),(46,1),(47,1),(49,1),(104,1),(147,1),(155,1)}
        75:{1,5,6,7}:{(47,1),(51,1),(106,1),(166,1)}
        76:{1,4,5,7}:{(47,1),(48,1),(52,1),(93,1),(106,1),(107,1)}
        77:{3,5,6}:{(48,1),(94,1),(107,1),(108,1)}
        78:{2,5,6,7}:{(49,1),(51,1),(109,1),(165,1)}
        79:{2,4,5,7}:{(49,1),(50,1),(52,1),(100,1),(109,1),(110,1)}
        80:{3,5,6}:{(50,1),(101,1),(110,1),(111,1)}
        81:{4,6,7}:{(51,1),(52,1)}
        82:{2,3,5}:{(53,1),(54,1),(112,1),(113,1)}
        83:{1,2,4,5}:{(54,1),(55,1),(92,1),(112,1),(113,1),(114,1),(148,1),(167,1),(169,1),(194,1)}
        84:{3,4,5}:{(55,1),(94,1),(113,1),(114,1)}
        85:{1,3,5}:{(56,1),(57,1),(115,1),(116,1)}
        86:{1,2,4,5}:{(57,1),(58,1),(99,1),(115,1),(116,1),(117,1),(156,1),(171,1),(172,1),(199,1)}
        87:{3,4,5}:{(58,1),(101,1),(116,1),(117,1)}
        88:{2,4,6}:{(59,1),(60,1),(71,1),(119,1)}
        89:{2,3,6,7}:{(60,1),(61,1),(72,1),(118,1),(120,1),(187,1),(204,1)}
        90:{2,3,5,6}:{(60,1),(62,1),(73,1),(82,1),(119,1),(120,1),(121,1),(123,1),(173,1),(175,1),(204,1)}
        91:{1,2,5,7}:{(61,1),(62,1),(63,1),(120,1),(122,1),(138,1),(205,1)}
        92:{1,2,4,6}:{(62,1),(64,1),(83,1),(121,1),(122,1),(123,1),(125,1),(177,1),(180,1)}
        93:{1,4,7}:{(63,1),(64,1),(124,1),(136,1)}
        94:{3,4,6}:{(64,1),(77,1),(84,1),(123,1),(124,1),(125,1)}
        95:{1,4,6}:{(65,1),(66,1),(71,1),(127,1)}
        96:{1,3,6,7}:{(66,1),(67,1),(72,1),(126,1),(128,1),(178,1),(206,1)}
        97:{1,3,5,6}:{(66,1),(68,1),(73,1),(85,1),(127,1),(128,1),(129,1),(131,1),(181,1),(183,1),(206,1)}
        98:{1,2,5,7}:{(67,1),(68,1),(69,1),(128,1),(130,1),(140,1),(207,1)}
        99:{1,2,4,6}:{(68,1),(70,1),(86,1),(129,1),(130,1),(131,1),(133,1),(185,1),(188,1)}
       100:{2,4,7}:{(69,1),(70,1),(132,1),(136,1)}
       101:{3,4,6}:{(70,1),(80,1),(87,1),(131,1),(132,1),(133,1)}
       102:{3,4,6,7}:{(71,1),(72,1),(118,1),(126,1),(134,1),(136,1),(176,1),(184,1),(189,1),(204,1),(206,1)}
       103:{3,5}:{(71,1),(119,1),(127,1),(135,1)}
       104:{3,5,7}:{(72,1),(73,1),(74,1),(136,1)}
       105:{4,6}:{(73,1),(135,1),(136,1)}
       106:{1,4,6,7}:{(75,1),(76,1),(81,1),(137,1)}
       107:{3,5,7}:{(76,1),(77,1),(124,1),(137,1),(138,1)}
       108:{2,5,6}:{(77,1),(125,1),(138,1)}
       109:{2,4,6,7}:{(78,1),(79,1),(81,1),(139,1)}
       110:{3,5,7}:{(79,1),(80,1),(132,1),(139,1),(140,1)}
       111:{1,5,6}:{(80,1),(133,1),(140,1)}
       112:{2,4}:{(82,1),(141,1)}
       113:{3,5}:{(83,1),(123,1),(141,1)}
       114:{2,4,5}:{(84,1),(125,1),(143,1)}
       115:{1,4}:{(85,1),(144,1)}
       116:{3,5}:{(86,1),(131,1),(144,1)}
       117:{1,4,5}:{(87,1),(133,1),(145,1)}
       118:{2,4,6,7}:{(88,1),(89,1),(102,1),(147,1),(149,1),(192,1),(200,1),(209,1)}
       119:{2,5}:{(88,1),(103,1)}
       120:{2,3,5,7}:{(89,1),(90,1),(91,1),(104,1),(147,1),(149,1),(151,1),(193,1)}
       121:{2,4,6}:{(90,1),(105,1),(112,1),(148,1),(149,1),(150,1)}
       122:{1,2,4,7}:{(91,1),(92,1),(93,1),(149,1),(151,1),(154,1),(195,1),(196,1)}
       123:{3,6}:{(92,1),(113,1),(151,1)}
       124:{3,4,7}:{(93,1),(94,1),(107,1),(151,1),(154,1)}
       125:{2,4,6}:{(94,1),(108,1),(114,1),(153,1),(154,1)}
       126:{1,4,6,7}:{(95,1),(96,1),(102,1),(155,1),(157,1),(195,1),(197,1),(208,1)}
       127:{1,5}:{(95,1),(103,1)}
       128:{1,3,5,7}:{(96,1),(97,1),(98,1),(104,1),(155,1),(157,1),(159,1),(198,1)}
       129:{1,4,6}:{(97,1),(105,1),(115,1),(156,1),(157,1),(158,1)}
       130:{1,2,4,7}:{(98,1),(99,1),(100,1),(157,1),(159,1),(162,1),(200,1),(201,1)}
       131:{3,6}:{(99,1),(116,1),(159,1)}
       132:{3,4,7}:{(100,1),(101,1),(110,1),(159,1),(162,1)}
       133:{1,4,6}:{(101,1),(111,1),(117,1),(160,1),(162,1)}
       134:{3,5,7}:{(102,1),(103,1),(147,1),(155,1),(163,1),(164,1)}
       135:{4,5}:{(103,1),(105,1)}
       136:{4,7}:{(104,1),(105,1)}
       137:{3,6,7}:{(106,1),(107,1),(165,1)}
       138:{2,5,7}:{(107,1),(108,1),(154,1),(165,1)}
       139:{3,6,7}:{(109,1),(110,1),(166,1)}
       140:{1,5,7}:{(110,1),(111,1),(162,1),(166,1)}
       141:{3,4}:{(112,1),(113,1),(167,1)}
       142:{1,3,5}:{(113,1),(152,1),(167,1),(169,1),(194,1),(202,1)}
       143:{2,3,5}:{(113,1),(114,1),(153,1),(168,1),(169,1)}
       144:{3,4}:{(115,1),(116,1),(171,1)}
       145:{1,3,5}:{(116,1),(117,1),(160,1),(170,1),(172,1)}
       146:{2,3,5}:{(116,1),(161,1),(171,1),(172,1),(199,1),(203,1)}
       147:{2,5,7}:{(118,1),(119,1),(134,1),(173,1)}
       148:{2,4,5}:{(119,1),(121,1),(135,1),(175,1)}
       149:{2,4,7}:{(120,1),(121,1),(136,1),(176,1)}
       150:{3,4,6}:{(121,1),(123,1),(141,1),(175,1),(176,1),(177,1),(204,1)}
       151:{3,7}:{(122,1),(123,1)}
       152:{1,3,6}:{(123,1),(142,1),(177,1),(178,1),(180,1)}
       153:{2,3,6}:{(123,1),(125,1),(143,1),(179,1),(180,1)}
       154:{2,4,7}:{(124,1),(125,1),(138,1),(179,1)}
       155:{1,5,7}:{(126,1),(127,1),(134,1),(181,1)}
       156:{1,4,5}:{(127,1),(129,1),(135,1),(183,1)}
       157:{1,4,7}:{(128,1),(129,1),(136,1),(184,1)}
       158:{3,4,6}:{(129,1),(131,1),(144,1),(183,1),(184,1),(185,1),(206,1)}
       159:{3,7}:{(130,1),(131,1)}
       160:{1,3,6}:{(131,1),(133,1),(145,1),(186,1),(188,1)}
       161:{2,3,6}:{(131,1),(146,1),(185,1),(187,1),(188,1)}
       162:{1,4,7}:{(132,1),(133,1),(140,1),(186,1)}
       163:{3,5,6}:{(134,1),(173,1),(181,1),(189,1),(204,1),(206,1)}
       164:{4,5,7}:{(134,1),(135,1),(136,1),(189,1)}
       165:{2,6,7}:{(137,1),(138,1)}
       166:{1,6,7}:{(139,1),(140,1)}
       167:{1,4}:{(141,1),(142,1)}
       168:{2,3,4}:{(141,1),(143,1),(190,1)}
       169:{1,2,5}:{(142,1),(143,1),(180,1),(190,1)}
       170:{1,3,4}:{(144,1),(145,1),(191,1)}
       171:{2,4}:{(144,1),(146,1)}
       172:{1,2,5}:{(145,1),(146,1),(188,1),(191,1)}
       173:{2,5,6}:{(147,1),(163,1),(192,1),(209,1)}
       174:{2,4,5,7}:{(147,1),(148,1),(149,1),(164,1),(192,1),(193,1)}
       175:{3,5}:{(148,1),(150,1),(194,1)}
       176:{3,4,7}:{(149,1),(150,1),(151,1),(193,1),(195,1)}
       177:{1,4,6}:{(150,1),(152,1),(167,1),(194,1),(195,1),(208,1)}
       178:{1,3,7}:{(151,1),(152,1),(195,1),(196,1)}
       179:{2,3,7}:{(151,1),(153,1),(154,1),(196,1)}
       180:{1,2,6}:{(152,1),(153,1),(169,1),(196,1)}
       181:{1,5,6}:{(155,1),(163,1),(197,1),(208,1)}
       182:{1,4,5,7}:{(155,1),(156,1),(157,1),(164,1),(197,1),(198,1)}
       183:{3,5}:{(156,1),(158,1),(199,1)}
       184:{3,4,7}:{(157,1),(158,1),(159,1),(198,1),(200,1)}
       185:{2,4,6}:{(158,1),(161,1),(171,1),(199,1),(200,1),(209,1)}
       186:{1,3,7}:{(159,1),(160,1),(162,1),(201,1)}
       187:{2,3,7}:{(159,1),(161,1),(200,1),(201,1)}
       188:{1,2,6}:{(160,1),(161,1),(172,1),(201,1)}
       189:{4,6}:{(163,1),(164,1)}
       190:{1,2,4}:{(167,1),(168,1),(169,1),(202,1)}
       191:{1,2,4}:{(170,1),(171,1),(172,1),(203,1)}
       192:{2,4,6}:{(173,1),(174,1),(189,1),(204,1)}
       193:{3,5,7}:{(174,1),(175,1),(176,1),(204,1),(205,1)}
       194:{1,5}:{(175,1),(177,1)}
       195:{1,4,7}:{(176,1),(177,1),(178,1),(205,1)}
       196:{1,2,7}:{(178,1),(179,1),(180,1)}
       197:{1,4,6}:{(181,1),(182,1),(189,1),(206,1)}
       198:{3,5,7}:{(182,1),(183,1),(184,1),(206,1),(207,1)}
       199:{2,5}:{(183,1),(185,1)}
       200:{2,4,7}:{(184,1),(185,1),(187,1),(207,1)}
       201:{1,2,7}:{(186,1),(187,1),(188,1)}
       202:{1,3}:{(190,1)}
       203:{2,3}:{(191,1)}
       204:{3,6}:{(192,1),(193,1),(208,1)}
       205:{1,5,7}:{(193,1),(194,1),(195,1),(208,1)}
       206:{3,6}:{(197,1),(198,1),(209,1)}
       207:{2,5,7}:{(198,1),(199,1),(200,1),(209,1)}
       208:{1,6}:{(204,1),(205,1)}
       209:{2,6}:{(206,1),(207,1)}

 578 :  0:{3,4,5}:{(2,1),(3,1),(4,1),(28,1),(70,1)}
        1:{4,5,6}:{(9,1),(10,1),(61,1),(83,1)}
        2:{3,4,6}:{(0,1),(9,1),(11,1),(12,1),(13,1),(42,1),(61,1)}
        3:{1,4,5}:{(0,1),(7,1),(11,1)}
        4:{2,4,5}:{(0,1),(8,1),(12,1)}
        5:{1,3,4}:{(7,1),(15,1),(44,1)}
        6:{2,3,4}:{(8,1),(16,1),(44,1)}
        7:{1,3,5}:{(3,1),(5,1),(17,1),(18,1),(28,1)}
        8:{2,3,5}:{(4,1),(6,1),(19,1),(20,1),(28,1)}
        9:{3,5,6}:{(1,1),(2,1),(21,1),(22,1),(23,1)}
       10:{4,5,7}:{(1,1),(23,1),(24,1),(71,1),(82,1)}
       11:{1,4,6}:{(2,1),(3,1),(17,1),(21,1),(26,1)}
       12:{2,4,6}:{(2,1),(4,1),(19,1),(22,1),(27,1)}
       13:{3,4,7}:{(2,1),(23,1),(26,1),(27,1),(56,1),(71,1)}
       14:{1,2,4,5}:{(3,1),(4,1),(18,1),(20,1),(25,1),(28,1),(47,1),(50,1),(66,1),(68,1),(70,1)}
       15:{1,2,4}:{(5,1),(18,1),(29,1),(47,1)}
       16:{1,2,4}:{(6,1),(20,1),(30,1),(50,1)}
       17:{1,3,6}:{(7,1),(11,1),(31,1),(32,1),(42,1)}
       18:{1,2,5}:{(7,1),(15,1),(31,1),(33,1)}
       19:{2,3,6}:{(8,1),(12,1),(34,1),(35,1),(42,1)}
       20:{1,2,5}:{(8,1),(16,1),(34,1),(36,1)}
       21:{1,5,6}:{(9,1),(11,1),(38,1)}
       22:{2,5,6}:{(9,1),(12,1),(39,1)}
       23:{3,5,7}:{(9,1),(10,1),(13,1),(38,1),(39,1),(40,1)}
       24:{4,6,7}:{(10,1),(40,1),(41,1)}
       25:{1,2,4,6}:{(11,1),(12,1),(14,1),(31,1),(34,1),(37,1),(42,1),(43,1),(57,1),(59,1),(61,1)}
       26:{1,4,7}:{(11,1),(13,1),(32,1),(38,1)}
       27:{2,4,7}:{(12,1),(13,1),(35,1),(39,1)}
       28:{3,5}:{(14,1),(42,1),(44,1)}
       29:{2,3}:{(15,1)}
       30:{1,3}:{(16,1)}
       31:{1,2,6}:{(17,1),(18,1),(45,1),(46,1)}
       32:{1,3,7}:{(17,1),(26,1),(46,1),(56,1)}
       33:{2,3,5}:{(18,1),(28,1),(29,1),(45,1),(47,1),(66,1)}
       34:{1,2,6}:{(19,1),(20,1),(48,1),(49,1)}
       35:{2,3,7}:{(19,1),(27,1),(49,1),(56,1)}
       36:{1,3,5}:{(20,1),(28,1),(30,1),(48,1),(50,1),(68,1)}
       37:{1,2,5,6}:{(21,1),(22,1),(25,1),(51,1),(52,1),(66,1),(68,1),(79,1),(80,1)}
       38:{1,5,7}:{(21,1),(23,1),(26,1),(53,1)}
       39:{2,5,7}:{(22,1),(23,1),(27,1),(54,1)}
       40:{3,6,7}:{(23,1),(24,1),(53,1),(54,1)}
       41:{5,6,7}:{(24,1),(82,1)}
       42:{3,6}:{(25,1),(28,1),(56,1)}
       43:{1,2,4,7}:{(25,1),(26,1),(27,1),(46,1),(49,1),(52,1),(56,1),(67,1),(69,1),(71,1)}
       44:{3,4}:{(28,1),(47,1),(50,1)}
       45:{2,3,6}:{(31,1),(33,1),(42,1),(57,1),(58,1)}
       46:{1,2,7}:{(31,1),(32,1),(58,1)}
       47:{2,4}:{(33,1),(44,1)}
       48:{1,3,6}:{(34,1),(36,1),(42,1),(59,1),(60,1)}
       49:{1,2,7}:{(34,1),(35,1),(60,1)}
       50:{1,4}:{(36,1),(44,1)}
       51:{3,5,6}:{(37,1),(42,1),(61,1),(62,1),(64,1),(78,1),(83,1)}
       52:{1,2,5,7}:{(37,1),(38,1),(39,1),(43,1),(62,1),(63,1),(74,1),(75,1)}
       53:{1,6,7}:{(38,1),(40,1)}
       54:{2,6,7}:{(39,1),(40,1)}
       55:{3,4,6}:{(42,1),(44,1),(57,1),(59,1),(61,1),(64,1),(65,1),(78,1)}
       56:{3,7}:{(42,1),(43,1)}
       57:{2,4,6}:{(45,1),(47,1),(55,1),(66,1),(67,1),(79,1)}
       58:{2,3,7}:{(45,1),(46,1),(56,1),(67,1)}
       59:{1,4,6}:{(48,1),(50,1),(55,1),(68,1),(69,1),(80,1)}
       60:{1,3,7}:{(48,1),(49,1),(56,1),(69,1)}
       61:{4,6}:{(51,1),(70,1),(71,1)}
       62:{3,5,7}:{(51,1),(52,1),(56,1),(71,1),(72,1),(82,1)}
       63:{1,2,6,7}:{(52,1),(53,1),(54,1),(72,1),(79,1),(80,1)}
       64:{3,5}:{(55,1),(66,1),(68,1),(70,1)}
       65:{3,4,7}:{(55,1),(56,1),(67,1),(69,1),(71,1),(73,1)}
       66:{2,5}:{(57,1),(64,1)}
       67:{2,4,7}:{(57,1),(58,1),(65,1),(74,1)}
       68:{1,5}:{(59,1),(64,1)}
       69:{1,4,7}:{(59,1),(60,1),(65,1),(75,1)}
       70:{4,5}:{(61,1),(64,1)}
       71:{4,7}:{(61,1),(62,1)}
       72:{3,6,7}:{(62,1),(63,1),(77,1),(78,1)}
       73:{3,5,7}:{(64,1),(65,1),(74,1),(75,1),(76,1),(78,1)}
       74:{2,5,7}:{(66,1),(67,1),(73,1),(79,1)}
       75:{1,5,7}:{(68,1),(69,1),(73,1),(80,1)}
       76:{4,5,7}:{(70,1),(71,1),(73,1),(81,1),(82,1)}
       77:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       78:{3,6}:{(73,1),(79,1),(80,1),(81,1)}
       79:{2,6}:{(74,1),(78,1)}
       80:{1,6}:{(75,1),(78,1)}
       81:{4,6}:{(76,1),(78,1),(83,1)}
       82:{5,7}:{(77,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 579 :  0:{4,5,6}:{(1,1),(2,1),(46,1),(81,1)}
        1:{3,5,6}:{(0,1),(4,1),(5,1),(6,1),(7,1)}
        2:{4,5,7}:{(0,1),(7,1),(8,1),(59,1),(77,1)}
        3:{3,4,5}:{(4,1),(9,1),(10,1),(37,1),(58,1)}
        4:{3,4,6}:{(1,1),(3,1),(13,1),(14,1),(15,1),(44,1),(46,1)}
        5:{1,5,6}:{(1,1),(13,1),(17,1)}
        6:{2,5,6}:{(1,1),(14,1),(18,1)}
        7:{3,5,7}:{(1,1),(2,1),(15,1),(17,1),(18,1),(19,1)}
        8:{4,6,7}:{(2,1),(19,1),(20,1)}
        9:{1,4,5}:{(3,1),(13,1),(21,1)}
       10:{2,4,5}:{(3,1),(14,1),(22,1)}
       11:{1,3,4}:{(21,1),(24,1),(51,1)}
       12:{2,3,4}:{(22,1),(25,1),(51,1)}
       13:{1,4,6}:{(4,1),(5,1),(9,1),(26,1),(29,1)}
       14:{2,4,6}:{(4,1),(6,1),(10,1),(27,1),(30,1)}
       15:{3,4,7}:{(4,1),(7,1),(29,1),(30,1),(57,1),(59,1)}
       16:{1,2,5,6}:{(5,1),(6,1),(28,1),(31,1),(32,1),(71,1),(73,1),(82,1),(83,1)}
       17:{1,5,7}:{(5,1),(7,1),(29,1),(33,1)}
       18:{2,5,7}:{(6,1),(7,1),(30,1),(34,1)}
       19:{3,6,7}:{(7,1),(8,1),(33,1),(34,1)}
       20:{5,6,7}:{(8,1),(77,1)}
       21:{1,3,5}:{(9,1),(11,1),(26,1),(35,1),(37,1)}
       22:{2,3,5}:{(10,1),(12,1),(27,1),(36,1),(37,1)}
       23:{1,2,4,5}:{(9,1),(10,1),(28,1),(35,1),(36,1),(37,1),(58,1),(61,1),(62,1),(71,1),(73,1)}
       24:{1,2,4}:{(11,1),(35,1),(38,1),(61,1)}
       25:{1,2,4}:{(12,1),(36,1),(39,1),(62,1)}
       26:{1,3,6}:{(13,1),(21,1),(40,1),(41,1),(44,1)}
       27:{2,3,6}:{(14,1),(22,1),(42,1),(43,1),(44,1)}
       28:{1,2,4,6}:{(13,1),(14,1),(16,1),(23,1),(40,1),(42,1),(44,1),(45,1),(46,1),(63,1),(65,1)}
       29:{1,4,7}:{(13,1),(15,1),(17,1),(41,1)}
       30:{2,4,7}:{(14,1),(15,1),(18,1),(43,1)}
       31:{3,5,6}:{(16,1),(44,1),(46,1),(47,1),(67,1),(80,1),(81,1)}
       32:{1,2,5,7}:{(16,1),(17,1),(18,1),(45,1),(47,1),(48,1),(78,1),(79,1)}
       33:{1,6,7}:{(17,1),(19,1)}
       34:{2,6,7}:{(18,1),(19,1)}
       35:{1,2,5}:{(21,1),(24,1),(40,1),(49,1)}
       36:{1,2,5}:{(22,1),(25,1),(42,1),(50,1)}
       37:{3,5}:{(23,1),(44,1),(51,1)}
       38:{2,3}:{(24,1)}
       39:{1,3}:{(25,1)}
       40:{1,2,6}:{(26,1),(35,1),(52,1),(53,1)}
       41:{1,3,7}:{(26,1),(29,1),(53,1),(57,1)}
       42:{1,2,6}:{(27,1),(36,1),(54,1),(55,1)}
       43:{2,3,7}:{(27,1),(30,1),(55,1),(57,1)}
       44:{3,6}:{(28,1),(37,1),(57,1)}
       45:{1,2,4,7}:{(28,1),(29,1),(30,1),(32,1),(53,1),(55,1),(57,1),(59,1),(72,1),(74,1)}
       46:{4,6}:{(31,1),(58,1),(59,1)}
       47:{3,5,7}:{(31,1),(32,1),(57,1),(59,1),(60,1),(77,1)}
       48:{1,2,6,7}:{(32,1),(33,1),(34,1),(60,1),(82,1),(83,1)}
       49:{2,3,5}:{(35,1),(37,1),(38,1),(52,1),(61,1),(71,1)}
       50:{1,3,5}:{(36,1),(37,1),(39,1),(54,1),(62,1),(73,1)}
       51:{3,4}:{(37,1),(61,1),(62,1)}
       52:{2,3,6}:{(40,1),(44,1),(49,1),(63,1),(64,1)}
       53:{1,2,7}:{(40,1),(41,1),(64,1)}
       54:{1,3,6}:{(42,1),(44,1),(50,1),(65,1),(66,1)}
       55:{1,2,7}:{(42,1),(43,1),(66,1)}
       56:{3,4,6}:{(44,1),(46,1),(51,1),(63,1),(65,1),(67,1),(68,1),(80,1)}
       57:{3,7}:{(44,1),(45,1)}
       58:{4,5}:{(46,1),(67,1)}
       59:{4,7}:{(46,1),(47,1)}
       60:{3,6,7}:{(47,1),(48,1),(70,1),(80,1)}
       61:{2,4}:{(49,1),(51,1)}
       62:{1,4}:{(50,1),(51,1)}
       63:{2,4,6}:{(52,1),(56,1),(61,1),(71,1),(72,1),(82,1)}
       64:{2,3,7}:{(52,1),(53,1),(57,1),(72,1)}
       65:{1,4,6}:{(54,1),(56,1),(62,1),(73,1),(74,1),(83,1)}
       66:{1,3,7}:{(54,1),(55,1),(57,1),(74,1)}
       67:{3,5}:{(56,1),(58,1),(71,1),(73,1)}
       68:{3,4,7}:{(56,1),(57,1),(59,1),(72,1),(74,1),(75,1)}
       69:{4,5,7}:{(58,1),(59,1),(75,1),(76,1),(77,1)}
       70:{4,6,7}:{(59,1),(60,1),(76,1),(77,1)}
       71:{2,5}:{(63,1),(67,1)}
       72:{2,4,7}:{(63,1),(64,1),(68,1),(78,1)}
       73:{1,5}:{(65,1),(67,1)}
       74:{1,4,7}:{(65,1),(66,1),(68,1),(79,1)}
       75:{3,5,7}:{(67,1),(68,1),(69,1),(78,1),(79,1),(80,1)}
       76:{4,6}:{(69,1),(80,1),(81,1)}
       77:{5,7}:{(70,1),(81,1)}
       78:{2,5,7}:{(71,1),(72,1),(75,1),(82,1)}
       79:{1,5,7}:{(73,1),(74,1),(75,1),(83,1)}
       80:{3,6}:{(75,1),(76,1),(82,1),(83,1)}
       81:{5,6}:{(76,1),(77,1)}
       82:{2,6}:{(78,1),(80,1)}
       83:{1,6}:{(79,1),(80,1)}

 580 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(11,1),(25,1),(31,1),(70,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(91,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(15,1),(42,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(11,1),(22,1),(23,1),(25,1),(30,1),(35,1),(69,1),(71,1),(107,1)}
         4:{3,4,7}:{(1,1),(6,1),(10,1),(69,1),(113,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1)}
         6:{3,5,7}:{(3,1),(4,1),(15,1),(21,1),(92,1),(125,1)}
         7:{1,2,4,6}:{(3,1),(15,1),(17,1),(37,1),(38,1),(42,1),(48,1)}
         8:{1,3,4,7}:{(4,1),(13,1),(18,1),(19,1),(74,1),(87,1),(125,1),(130,1)}
         9:{2,3,4,7}:{(4,1),(14,1),(18,1),(20,1),(74,1),(89,1),(125,1),(131,1)}
        10:{3,4,6}:{(4,1),(5,1),(15,1),(21,1),(48,1)}
        11:{1,2,5}:{(5,1),(21,1)}
        12:{3,4,5,7}:{(6,1),(22,1),(23,1),(24,1),(35,1),(53,1),(59,1),(69,1),(72,1),(73,1),(109,1),(111,1),(133,1),(134,1)}
        13:{1,3,5,7}:{(6,1),(8,1),(22,1),(25,1),(26,1),(33,1),(53,1),(114,1),(139,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(23,1),(25,1),(27,1),(34,1),(53,1),(115,1),(140,1)}
        15:{3,6}:{(6,1),(7,1)}
        16:{1,2,4,6,7}:{(7,1),(28,1),(30,1),(55,1),(57,1),(63,1),(69,1),(107,1)}
        17:{1,2,5,6}:{(7,1),(11,1),(29,1),(30,1),(56,1),(58,1)}
        18:{1,2,4,7}:{(8,1),(9,1),(25,1),(31,1),(32,1),(142,1)}
        19:{1,3,4,6}:{(8,1),(10,1),(26,1),(32,1),(33,1),(66,1),(95,1),(108,1),(113,1)}
        20:{2,3,4,6}:{(9,1),(10,1),(27,1),(32,1),(34,1),(68,1),(95,1),(108,1),(113,1)}
        21:{3,5}:{(10,1),(11,1),(35,1)}
        22:{1,4,5,7}:{(12,1),(13,1),(37,1),(51,1),(78,1),(87,1),(94,1),(129,1)}
        23:{2,4,5,7}:{(12,1),(14,1),(38,1),(52,1),(80,1),(89,1),(93,1),(128,1)}
        24:{3,4,6}:{(12,1),(15,1),(37,1),(38,1),(40,1),(48,1),(75,1),(118,1)}
        25:{1,2,5,7}:{(13,1),(14,1),(18,1),(42,1),(50,1),(132,1),(145,1)}
        26:{1,3,6}:{(13,1),(15,1),(37,1),(42,1),(75,1)}
        27:{2,3,6}:{(14,1),(15,1),(38,1),(42,1),(75,1)}
        28:{3,6,7}:{(15,1),(16,1),(47,1),(125,1)}
        29:{3,5,6}:{(15,1),(17,1),(21,1),(47,1),(48,1)}
        30:{1,2,5,7}:{(16,1),(17,1),(47,1),(78,1),(80,1)}
        31:{1,2,3,7}:{(18,1),(49,1),(125,1),(145,1),(146,1)}
        32:{1,2,4,6}:{(18,1),(19,1),(20,1),(42,1),(49,1),(50,1),(91,1)}
        33:{1,3,5}:{(19,1),(21,1),(50,1),(51,1),(92,1),(116,1)}
        34:{2,3,5}:{(20,1),(21,1),(50,1),(52,1),(92,1),(116,1)}
        35:{4,5}:{(21,1),(48,1)}
        36:{1,2,4,5,7}:{(22,1),(23,1),(25,1),(53,1),(54,1),(61,1),(71,1),(98,1),(106,1),(107,1),(133,1),(134,1)}
        37:{1,4,6}:{(22,1),(24,1),(26,1),(56,1)}
        38:{2,4,6}:{(23,1),(24,1),(27,1),(58,1)}
        39:{3,4,6,7}:{(24,1),(28,1),(55,1),(57,1),(59,1),(69,1),(96,1),(105,1),(109,1),(111,1),(134,1),(135,1),(137,1)}
        40:{3,5,6}:{(24,1),(56,1),(58,1),(59,1),(60,1)}
        41:{1,2,3,5,7}:{(25,1),(31,1),(53,1),(61,1),(62,1),(70,1),(106,1)}
        42:{1,2,6}:{(25,1),(26,1),(27,1)}
        43:{1,3,6,7}:{(26,1),(28,1),(55,1),(63,1),(65,1),(96,1),(135,1),(139,1)}
        44:{1,3,5,6}:{(26,1),(29,1),(33,1),(56,1),(64,1),(65,1),(66,1),(97,1),(101,1),(108,1)}
        45:{2,3,6,7}:{(27,1),(28,1),(57,1),(63,1),(67,1),(96,1),(137,1),(140,1)}
        46:{2,3,5,6}:{(27,1),(29,1),(34,1),(58,1),(64,1),(67,1),(68,1),(97,1),(104,1),(108,1)}
        47:{3,5,7}:{(28,1),(29,1),(30,1),(69,1)}
        48:{4,6}:{(29,1),(35,1),(69,1)}
        49:{1,2,3,6}:{(31,1),(32,1),(70,1),(108,1),(141,1)}
        50:{1,2,5}:{(32,1),(33,1),(34,1)}
        51:{1,4,5}:{(33,1),(35,1),(66,1),(72,1),(133,1)}
        52:{2,4,5}:{(34,1),(35,1),(68,1),(73,1),(133,1)}
        53:{3,5,7}:{(36,1),(74,1),(75,1),(92,1),(116,1),(125,1)}
        54:{1,2,4,6}:{(36,1),(37,1),(38,1),(42,1),(75,1),(77,1),(118,1)}
        55:{1,4,6,7}:{(37,1),(39,1),(43,1),(78,1),(87,1),(129,1),(144,1)}
        56:{1,5,6}:{(37,1),(40,1),(78,1)}
        57:{2,4,6,7}:{(38,1),(39,1),(45,1),(80,1),(89,1),(128,1),(143,1)}
        58:{2,5,6}:{(38,1),(40,1),(80,1)}
        59:{3,5,7}:{(39,1),(40,1),(78,1),(80,1),(83,1)}
        60:{4,5,6}:{(40,1),(48,1),(83,1),(118,1)}
        61:{1,2,4,7}:{(41,1),(74,1),(84,1),(91,1)}
        62:{1,2,3,6}:{(41,1),(42,1),(75,1),(84,1)}
        63:{1,2,6,7}:{(42,1),(43,1),(45,1),(85,1),(143,1),(144,1),(145,1)}
        64:{1,2,5,6}:{(42,1),(44,1),(46,1),(50,1),(85,1),(86,1),(121,1),(124,1)}
        65:{1,3,5,7}:{(43,1),(44,1),(47,1),(78,1),(85,1),(87,1),(117,1),(120,1),(125,1)}
        66:{1,4,6}:{(44,1),(48,1),(51,1),(87,1),(88,1),(118,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(47,1),(80,1),(85,1),(89,1),(117,1),(123,1),(125,1)}
        68:{2,4,6}:{(46,1),(48,1),(52,1),(89,1),(90,1),(118,1)}
        69:{4,7}:{(47,1),(48,1)}
        70:{1,2,3,5}:{(49,1),(50,1),(91,1),(92,1),(132,1),(146,1)}
        71:{1,2,4,5}:{(50,1),(51,1),(52,1),(86,1),(91,1),(92,1),(93,1),(94,1),(132,1)}
        72:{3,4,5}:{(51,1),(88,1),(92,1),(93,1)}
        73:{3,4,5}:{(52,1),(90,1),(92,1),(94,1)}
        74:{3,4,7}:{(53,1),(61,1),(95,1),(113,1),(134,1)}
        75:{3,6}:{(53,1),(54,1)}
        76:{1,2,4,6,7}:{(54,1),(55,1),(57,1),(63,1),(96,1),(98,1),(107,1),(134,1)}
        77:{1,2,5,6}:{(54,1),(56,1),(58,1),(97,1),(98,1),(106,1)}
        78:{1,5,7}:{(55,1),(56,1),(59,1)}
        79:{1,4,5,6}:{(56,1),(60,1),(66,1),(100,1),(101,1)}
        80:{2,5,7}:{(57,1),(58,1),(59,1)}
        81:{2,4,5,6}:{(58,1),(60,1),(68,1),(103,1),(104,1)}
        82:{3,5,6,7}:{(59,1),(99,1),(102,1),(105,1),(135,1),(137,1)}
        83:{4,5,7}:{(59,1),(60,1),(69,1),(105,1),(134,1)}
        84:{1,2,4,6}:{(61,1),(62,1),(95,1),(106,1)}
        85:{1,2,5,7}:{(63,1),(64,1),(65,1),(67,1),(107,1),(136,1),(138,1)}
        86:{1,2,4,6}:{(64,1),(66,1),(68,1),(71,1),(107,1),(108,1),(110,1),(112,1),(141,1)}
        87:{1,4,7}:{(65,1),(66,1),(69,1),(109,1),(134,1)}
        88:{3,4,6}:{(66,1),(72,1),(101,1),(108,1),(109,1),(110,1)}
        89:{2,4,7}:{(67,1),(68,1),(69,1),(111,1),(134,1)}
        90:{3,4,6}:{(68,1),(73,1),(104,1),(108,1),(111,1),(112,1)}
        91:{1,2,4}:{(70,1),(113,1)}
        92:{3,5}:{(71,1),(108,1),(113,1)}
        93:{2,4,5}:{(72,1),(110,1),(115,1)}
        94:{1,4,5}:{(73,1),(112,1),(114,1)}
        95:{3,4,6}:{(74,1),(75,1),(84,1),(116,1),(118,1)}
        96:{3,6,7}:{(75,1),(76,1),(117,1),(125,1)}
        97:{3,5,6}:{(75,1),(77,1),(116,1),(117,1),(118,1)}
        98:{1,2,5,7}:{(76,1),(77,1),(78,1),(80,1),(117,1)}
        99:{1,5,6,7}:{(78,1),(82,1),(119,1),(144,1)}
       100:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(119,1),(120,1)}
       101:{3,5,6}:{(79,1),(88,1),(120,1),(121,1)}
       102:{2,5,6,7}:{(80,1),(82,1),(122,1),(143,1)}
       103:{2,4,5,7}:{(80,1),(81,1),(83,1),(89,1),(122,1),(123,1)}
       104:{3,5,6}:{(81,1),(90,1),(123,1),(124,1)}
       105:{4,6,7}:{(82,1),(83,1)}
       106:{1,2,5}:{(84,1),(116,1)}
       107:{1,2,4,7}:{(85,1),(86,1),(87,1),(89,1),(125,1),(128,1),(129,1),(145,1)}
       108:{3,6}:{(86,1),(92,1),(125,1)}
       109:{3,4,7}:{(87,1),(88,1),(120,1),(125,1),(128,1)}
       110:{2,4,6}:{(88,1),(93,1),(121,1),(127,1),(128,1)}
       111:{3,4,7}:{(89,1),(90,1),(123,1),(125,1),(129,1)}
       112:{1,4,6}:{(90,1),(94,1),(124,1),(126,1),(129,1)}
       113:{3,4}:{(91,1),(92,1)}
       114:{1,3,5}:{(92,1),(94,1),(126,1),(130,1),(132,1)}
       115:{2,3,5}:{(92,1),(93,1),(127,1),(131,1),(132,1)}
       116:{3,5}:{(95,1),(106,1),(133,1)}
       117:{3,5,7}:{(96,1),(97,1),(98,1),(134,1)}
       118:{4,6}:{(97,1),(133,1),(134,1)}
       119:{1,4,6,7}:{(99,1),(100,1),(105,1),(135,1)}
       120:{3,5,7}:{(100,1),(101,1),(109,1),(135,1),(136,1)}
       121:{2,5,6}:{(101,1),(110,1),(136,1)}
       122:{2,4,6,7}:{(102,1),(103,1),(105,1),(137,1)}
       123:{3,5,7}:{(103,1),(104,1),(111,1),(137,1),(138,1)}
       124:{1,5,6}:{(104,1),(112,1),(138,1)}
       125:{3,7}:{(107,1),(108,1)}
       126:{1,3,6}:{(108,1),(112,1),(114,1),(139,1),(141,1)}
       127:{2,3,6}:{(108,1),(110,1),(115,1),(140,1),(141,1)}
       128:{2,4,7}:{(109,1),(110,1),(136,1),(140,1)}
       129:{1,4,7}:{(111,1),(112,1),(138,1),(139,1)}
       130:{1,3,4}:{(113,1),(114,1),(142,1)}
       131:{2,3,4}:{(113,1),(115,1),(142,1)}
       132:{1,2,5}:{(114,1),(115,1),(141,1),(142,1)}
       133:{4,5}:{(116,1),(118,1)}
       134:{4,7}:{(117,1),(118,1)}
       135:{3,6,7}:{(119,1),(120,1),(143,1)}
       136:{2,5,7}:{(120,1),(121,1),(128,1),(143,1)}
       137:{3,6,7}:{(122,1),(123,1),(144,1)}
       138:{1,5,7}:{(123,1),(124,1),(129,1),(144,1)}
       139:{1,3,7}:{(125,1),(126,1),(129,1),(145,1)}
       140:{2,3,7}:{(125,1),(127,1),(128,1),(145,1)}
       141:{1,2,6}:{(126,1),(127,1),(132,1),(145,1)}
       142:{1,2,4}:{(130,1),(131,1),(132,1),(146,1)}
       143:{2,6,7}:{(135,1),(136,1)}
       144:{1,6,7}:{(137,1),(138,1)}
       145:{1,2,7}:{(139,1),(140,1),(141,1)}
       146:{1,2,3}:{(142,1)}

 581 :   0:{1,3,6,7}:{(4,1),(6,1),(7,1),(25,1),(83,1),(121,1),(146,1)}
         1:{1,3,5,6}:{(5,1),(7,1),(8,1),(29,1),(32,1),(34,1),(70,1),(75,1),(83,1),(121,1),(152,1),(168,1)}
         2:{2,3,6,7}:{(4,1),(9,1),(10,1),(25,1),(88,1),(122,1),(147,1)}
         3:{2,3,5,6}:{(5,1),(10,1),(11,1),(29,1),(39,1),(41,1),(70,1),(76,1),(88,1),(122,1),(153,1),(168,1)}
         4:{1,2,6,7}:{(0,1),(2,1),(13,1),(106,1),(109,1),(141,1),(159,1)}
         5:{1,2,5,6}:{(1,1),(3,1),(13,1),(14,1),(58,1),(65,1),(102,1),(106,1),(109,1),(141,1),(162,1)}
         6:{1,4,6,7}:{(0,1),(15,1),(16,1),(18,1),(56,1),(135,1),(137,1),(142,1)}
         7:{1,3,5,7}:{(0,1),(1,1),(13,1),(16,1),(18,1),(46,1),(50,1),(57,1)}
         8:{1,4,6}:{(1,1),(17,1),(18,1),(19,1),(95,1),(97,1),(172,1)}
         9:{2,4,6,7}:{(2,1),(20,1),(21,1),(23,1),(63,1),(132,1),(138,1),(143,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(13,1),(21,1),(23,1),(46,1),(50,1),(64,1)}
        11:{2,4,6}:{(3,1),(22,1),(23,1),(24,1),(95,1),(98,1),(172,1)}
        12:{1,2,4,6,7}:{(4,1),(6,1),(9,1),(25,1),(26,1),(28,1),(30,1),(37,1),(67,1),(71,1),(73,1),(111,1),(154,1)}
        13:{1,2,5,7}:{(4,1),(5,1),(7,1),(10,1),(28,1),(84,1),(89,1)}
        14:{1,2,4,6}:{(5,1),(8,1),(11,1),(27,1),(28,1),(29,1),(36,1),(43,1),(79,1),(120,1)}
        15:{3,4,6,7}:{(6,1),(25,1),(30,1),(31,1),(35,1),(71,1),(82,1),(83,1),(115,1),(117,1),(124,1)}
        16:{1,5,7}:{(6,1),(31,1),(32,1),(152,1)}
        17:{1,4,5}:{(8,1),(34,1),(116,1),(152,1)}
        18:{1,4,7}:{(7,1),(8,1),(35,1),(71,1)}
        19:{3,4,6}:{(8,1),(29,1),(34,1),(35,1),(36,1),(72,1),(83,1)}
        20:{3,4,6,7}:{(9,1),(25,1),(37,1),(38,1),(42,1),(71,1),(87,1),(88,1),(113,1),(117,1),(126,1)}
        21:{2,5,7}:{(9,1),(38,1),(39,1),(153,1)}
        22:{2,4,5}:{(11,1),(41,1),(116,1),(153,1)}
        23:{2,4,7}:{(10,1),(11,1),(42,1),(71,1)}
        24:{3,4,6}:{(11,1),(29,1),(41,1),(42,1),(43,1),(72,1),(88,1)}
        25:{3,6,7}:{(12,1),(46,1),(50,1),(99,1),(129,1),(163,1)}
        26:{1,2,5,7}:{(12,1),(16,1),(21,1),(46,1),(47,1),(53,1),(60,1),(162,1)}
        27:{1,2,4,5}:{(14,1),(17,1),(22,1),(49,1),(58,1),(65,1),(97,1),(98,1),(102,1),(162,1),(172,1)}
        28:{1,2,4,7}:{(13,1),(14,1),(18,1),(23,1),(50,1),(59,1),(66,1),(103,1)}
        29:{3,6}:{(14,1),(49,1),(50,1),(140,1)}
        30:{2,4,6,7}:{(15,1),(45,1),(53,1),(59,1),(94,1),(104,1),(106,1),(138,1)}
        31:{3,5,7}:{(15,1),(16,1),(53,1),(54,1),(55,1),(136,1)}
        32:{1,5,6}:{(16,1),(54,1),(56,1),(142,1)}
        33:{1,4,5,7}:{(16,1),(17,1),(18,1),(55,1),(56,1),(57,1)}
        34:{3,5}:{(17,1),(19,1),(58,1)}
        35:{3,4,7}:{(18,1),(19,1),(50,1),(57,1),(59,1)}
        36:{2,4,6}:{(19,1),(52,1),(58,1),(59,1),(98,1),(106,1)}
        37:{1,4,6,7}:{(20,1),(44,1),(60,1),(66,1),(92,1),(107,1),(109,1),(137,1)}
        38:{3,5,7}:{(20,1),(21,1),(60,1),(61,1),(62,1),(136,1)}
        39:{2,5,6}:{(21,1),(61,1),(63,1),(143,1)}
        40:{2,4,5,7}:{(21,1),(22,1),(23,1),(62,1),(63,1),(64,1)}
        41:{3,5}:{(22,1),(24,1),(65,1)}
        42:{3,4,7}:{(23,1),(24,1),(50,1),(64,1),(66,1)}
        43:{1,4,6}:{(24,1),(51,1),(65,1),(66,1),(97,1),(109,1)}
        44:{1,3,6,7}:{(25,1),(37,1),(67,1),(68,1),(77,1),(121,1),(126,1)}
        45:{2,3,6,7}:{(25,1),(30,1),(67,1),(69,1),(78,1),(122,1),(124,1)}
        46:{3,5,7}:{(25,1),(26,1),(70,1),(71,1),(168,1)}
        47:{1,2,5,6}:{(26,1),(32,1),(39,1),(70,1),(73,1),(80,1),(85,1),(152,1),(153,1)}
        48:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(33,1),(40,1),(71,1),(73,1),(74,1),(81,1),(84,1),(86,1),(89,1),(111,1),(116,1),(118,1),(119,1),(123,1),(125,1),(127,1),(144,1),(152,1),(153,1)}
        49:{3,5}:{(27,1),(29,1),(72,1)}
        50:{3,7}:{(28,1),(29,1)}
        51:{1,3,6}:{(29,1),(43,1),(75,1),(77,1),(79,1)}
        52:{2,3,6}:{(29,1),(36,1),(76,1),(78,1),(79,1)}
        53:{2,5,7}:{(30,1),(31,1),(80,1),(153,1)}
        54:{3,5,6}:{(31,1),(32,1),(80,1),(82,1),(83,1),(124,1)}
        55:{4,5,7}:{(31,1),(71,1),(82,1),(116,1)}
        56:{1,4,6}:{(32,1),(33,1),(82,1),(83,1)}
        57:{3,5,7}:{(33,1),(34,1),(35,1),(83,1),(84,1)}
        58:{2,5}:{(34,1),(36,1)}
        59:{2,4,7}:{(35,1),(36,1),(78,1),(84,1)}
        60:{1,5,7}:{(37,1),(38,1),(85,1),(152,1)}
        61:{3,5,6}:{(38,1),(39,1),(85,1),(87,1),(88,1),(126,1)}
        62:{4,5,7}:{(38,1),(71,1),(87,1),(116,1)}
        63:{2,4,6}:{(39,1),(40,1),(87,1),(88,1)}
        64:{3,5,7}:{(40,1),(41,1),(42,1),(88,1),(89,1)}
        65:{1,5}:{(41,1),(43,1)}
        66:{1,4,7}:{(42,1),(43,1),(77,1),(89,1)}
        67:{1,2,6,7}:{(44,1),(45,1),(90,1),(103,1),(141,1),(142,1),(143,1)}
        68:{1,3,5,7}:{(44,1),(46,1),(60,1),(90,1),(91,1),(92,1),(108,1),(129,1)}
        69:{2,3,5,7}:{(45,1),(46,1),(53,1),(90,1),(93,1),(94,1),(105,1),(129,1)}
        70:{3,5,6}:{(46,1),(47,1),(95,1),(99,1),(136,1)}
        71:{4,7}:{(46,1),(95,1),(172,1)}
        72:{3,4}:{(49,1),(97,1),(98,1),(140,1),(172,1)}
        73:{1,2,4,6}:{(47,1),(48,1),(56,1),(63,1),(95,1),(99,1),(104,1),(106,1),(107,1),(109,1),(137,1),(138,1),(141,1),(142,1),(143,1)}
        74:{3,5,7}:{(48,1),(49,1),(50,1),(96,1),(99,1),(129,1),(136,1),(156,1)}
        75:{1,3,5}:{(49,1),(51,1),(65,1),(97,1),(102,1),(140,1)}
        76:{2,3,5}:{(49,1),(52,1),(58,1),(98,1),(102,1),(140,1)}
        77:{1,3,7}:{(50,1),(51,1),(66,1),(103,1)}
        78:{2,3,7}:{(50,1),(52,1),(59,1),(103,1)}
        79:{1,2,6}:{(51,1),(52,1),(102,1),(103,1)}
        80:{2,5,6}:{(53,1),(54,1),(104,1),(106,1)}
        81:{2,4,5,7}:{(53,1),(55,1),(94,1),(104,1),(105,1),(133,1)}
        82:{4,6}:{(54,1),(55,1)}
        83:{3,6}:{(56,1),(57,1),(106,1)}
        84:{2,5,7}:{(57,1),(58,1),(59,1),(106,1)}
        85:{1,5,6}:{(60,1),(61,1),(107,1),(109,1)}
        86:{1,4,5,7}:{(60,1),(62,1),(92,1),(107,1),(108,1),(130,1)}
        87:{4,6}:{(61,1),(62,1)}
        88:{3,6}:{(63,1),(64,1),(109,1)}
        89:{1,5,7}:{(64,1),(65,1),(66,1),(109,1)}
        90:{1,2,5,7}:{(67,1),(68,1),(69,1),(110,1),(111,1),(125,1),(127,1)}
        91:{1,3,5,6}:{(68,1),(70,1),(85,1),(110,1),(112,1),(121,1),(126,1),(145,1),(148,1),(152,1),(165,1),(168,1)}
        92:{1,4,7}:{(68,1),(71,1),(112,1),(113,1)}
        93:{2,3,5,6}:{(69,1),(70,1),(80,1),(110,1),(114,1),(122,1),(124,1),(145,1),(150,1),(153,1),(166,1),(168,1)}
        94:{2,4,7}:{(69,1),(71,1),(114,1),(115,1)}
        95:{4,6}:{(70,1),(71,1),(116,1)}
        96:{3,4,7}:{(71,1),(72,1),(74,1),(117,1),(118,1),(119,1),(155,1),(164,1)}
        97:{1,4}:{(72,1),(75,1)}
        98:{2,4}:{(72,1),(76,1)}
        99:{3,6}:{(73,1),(74,1)}
       100:{1,3,5,7}:{(74,1),(75,1),(77,1),(89,1),(118,1),(121,1),(123,1),(125,1),(146,1),(152,1),(155,1),(165,1),(168,1)}
       101:{2,3,5,7}:{(74,1),(76,1),(78,1),(84,1),(119,1),(122,1),(123,1),(127,1),(147,1),(153,1),(155,1),(166,1),(168,1)}
       102:{1,2,5}:{(75,1),(76,1),(79,1),(120,1)}
       103:{1,2,7}:{(77,1),(78,1),(79,1)}
       104:{2,4,6}:{(80,1),(81,1),(82,1),(124,1)}
       105:{3,5,7}:{(81,1),(115,1),(124,1),(125,1),(150,1)}
       106:{2,6}:{(83,1),(84,1)}
       107:{1,4,6}:{(85,1),(86,1),(87,1),(126,1)}
       108:{3,5,7}:{(86,1),(113,1),(126,1),(127,1),(148,1)}
       109:{1,6}:{(88,1),(89,1)}
       110:{1,2,5,6}:{(90,1),(91,1),(93,1),(128,1),(141,1),(142,1),(143,1),(160,1),(161,1),(162,1),(171,1)}
       111:{1,2,4,7}:{(90,1),(92,1),(94,1),(128,1),(129,1),(132,1),(135,1),(159,1)}
       112:{1,4,6}:{(91,1),(92,1),(95,1),(130,1),(131,1),(169,1),(172,1)}
       113:{3,4,7}:{(92,1),(108,1),(129,1),(131,1),(132,1)}
       114:{2,4,6}:{(93,1),(94,1),(95,1),(133,1),(134,1),(170,1),(172,1)}
       115:{3,4,7}:{(94,1),(105,1),(129,1),(134,1),(135,1)}
       116:{4,5}:{(95,1),(136,1),(172,1)}
       117:{3,4,6}:{(95,1),(96,1),(99,1),(136,1),(137,1),(138,1),(163,1),(172,1)}
       118:{1,4,7}:{(96,1),(97,1),(100,1),(137,1),(169,1),(172,1)}
       119:{2,4,7}:{(96,1),(98,1),(101,1),(138,1),(170,1),(172,1)}
       120:{1,2,4}:{(97,1),(98,1),(102,1),(140,1)}
       121:{1,3,6}:{(99,1),(100,1),(109,1),(137,1),(141,1),(142,1),(163,1)}
       122:{2,3,6}:{(99,1),(101,1),(106,1),(138,1),(141,1),(143,1),(163,1)}
       123:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(139,1),(141,1),(159,1),(162,1),(171,1)}
       124:{3,6}:{(104,1),(105,1),(142,1)}
       125:{1,5,7}:{(105,1),(135,1),(142,1),(161,1)}
       126:{3,6}:{(107,1),(108,1),(143,1)}
       127:{2,5,7}:{(108,1),(132,1),(143,1),(160,1)}
       128:{1,2,4,6}:{(110,1),(111,1),(112,1),(114,1),(144,1),(145,1),(149,1),(151,1),(167,1),(173,1)}
       129:{3,7}:{(111,1),(145,1)}
       130:{1,4,5}:{(112,1),(116,1),(148,1),(152,1)}
       131:{3,4,6}:{(112,1),(113,1),(126,1),(145,1),(148,1),(149,1),(164,1)}
       132:{2,4,7}:{(113,1),(127,1),(147,1),(149,1)}
       133:{2,4,5}:{(114,1),(116,1),(150,1),(153,1)}
       134:{3,4,6}:{(114,1),(115,1),(124,1),(145,1),(150,1),(151,1),(164,1)}
       135:{1,4,7}:{(115,1),(125,1),(146,1),(151,1)}
       136:{3,5}:{(116,1),(117,1),(152,1),(153,1)}
       137:{1,4,6}:{(117,1),(118,1),(121,1),(152,1)}
       138:{2,4,6}:{(117,1),(119,1),(122,1),(153,1)}
       139:{1,2,4,7}:{(118,1),(119,1),(120,1),(123,1),(154,1),(155,1),(173,1)}
       140:{3}:{(120,1)}
       141:{1,2,6}:{(121,1),(122,1),(123,1)}
       142:{1,6}:{(124,1),(125,1)}
       143:{2,6}:{(126,1),(127,1)}
       144:{1,2,4,5}:{(128,1),(130,1),(133,1),(156,1),(160,1),(161,1),(162,1),(169,1),(170,1),(171,1),(172,1)}
       145:{3,6}:{(128,1),(129,1),(156,1),(174,1)}
       146:{1,3,7}:{(129,1),(135,1),(157,1),(159,1)}
       147:{2,3,7}:{(129,1),(132,1),(158,1),(159,1)}
       148:{3,5}:{(130,1),(131,1),(160,1)}
       149:{2,4,6}:{(131,1),(132,1),(143,1),(158,1),(160,1),(170,1)}
       150:{3,5}:{(133,1),(134,1),(161,1)}
       151:{1,4,6}:{(134,1),(135,1),(142,1),(157,1),(161,1),(169,1)}
       152:{1,5}:{(136,1),(137,1)}
       153:{2,5}:{(136,1),(138,1)}
       154:{1,2,4,6}:{(137,1),(138,1),(139,1),(141,1),(162,1),(163,1),(172,1)}
       155:{3,7}:{(139,1),(140,1),(163,1),(174,1)}
       156:{3,5}:{(144,1),(145,1),(164,1)}
       157:{1,3,6}:{(145,1),(146,1),(151,1),(165,1),(167,1)}
       158:{2,3,6}:{(145,1),(147,1),(149,1),(166,1),(167,1)}
       159:{1,2,7}:{(146,1),(147,1),(167,1)}
       160:{2,5}:{(148,1),(149,1)}
       161:{1,5}:{(150,1),(151,1)}
       162:{1,2,5}:{(152,1),(153,1),(154,1),(168,1)}
       163:{3,6}:{(154,1),(155,1),(168,1)}
       164:{3,4}:{(156,1),(169,1),(170,1),(172,1),(174,1)}
       165:{1,3,5}:{(156,1),(157,1),(161,1),(169,1),(171,1),(174,1)}
       166:{2,3,5}:{(156,1),(158,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,2,6}:{(157,1),(158,1),(159,1),(171,1)}
       168:{3,5}:{(162,1),(163,1),(172,1)}
       169:{1,4}:{(164,1),(165,1)}
       170:{2,4}:{(164,1),(166,1)}
       171:{1,2,5}:{(165,1),(166,1),(167,1),(173,1)}
       172:{4}:{(168,1)}
       173:{1,2,4}:{(169,1),(170,1),(171,1),(174,1)}
       174:{3}:{(173,1)}

 582 :   0:{1,2,3,5}:{(1,1),(2,1),(7,1),(10,1),(13,1),(31,1)}
         1:{1,2,4}:{(0,1),(3,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(20,1),(48,1)}
         3:{3,4}:{(1,1),(10,1)}
         4:{1,2,4,5}:{(1,1),(10,1),(12,1),(13,1),(28,1),(29,1),(31,1),(36,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(14,1),(39,1)}
         6:{1,2,3,7}:{(2,1),(14,1),(35,1),(67,1)}
         7:{1,2,3}:{(17,1)}
         8:{2,3,4}:{(3,1),(17,1),(18,1),(40,1)}
         9:{1,3,4}:{(3,1),(17,1),(19,1),(40,1)}
        10:{3,5}:{(3,1),(4,1),(20,1)}
        11:{3,4,6}:{(3,1),(5,1),(20,1),(21,1),(22,1),(51,1),(54,1)}
        12:{1,2,4,6}:{(4,1),(20,1),(23,1),(24,1),(44,1),(45,1),(48,1),(51,1)}
        13:{1,2,5}:{(5,1),(21,1)}
        14:{1,2,4,7}:{(5,1),(6,1),(22,1),(25,1)}
        15:{1,2,3,5}:{(7,1),(26,1),(27,1),(31,1),(56,1),(59,1)}
        16:{3,4,5}:{(10,1),(28,1),(29,1),(30,1),(36,1),(56,1),(85,1)}
        17:{1,2,4}:{(7,1),(8,1),(9,1),(31,1)}
        18:{2,3,5}:{(8,1),(10,1),(28,1),(31,1),(32,1),(56,1)}
        19:{1,3,5}:{(9,1),(10,1),(29,1),(31,1),(33,1),(56,1)}
        20:{3,6}:{(10,1),(12,1),(35,1)}
        21:{3,5}:{(11,1),(13,1),(36,1)}
        22:{3,4,7}:{(11,1),(14,1),(35,1),(37,1),(68,1)}
        23:{1,2,5,6}:{(12,1),(13,1),(34,1),(38,1),(39,1),(61,1),(63,1)}
        24:{1,2,4,7}:{(12,1),(35,1),(38,1),(62,1),(64,1),(67,1),(68,1)}
        25:{1,2,5,7}:{(13,1),(14,1),(37,1),(39,1)}
        26:{1,2,4}:{(15,1),(40,1)}
        27:{1,2,3,6}:{(15,1),(42,1),(43,1),(48,1),(71,1)}
        28:{2,4,5}:{(16,1),(18,1),(44,1)}
        29:{1,4,5}:{(16,1),(19,1),(45,1)}
        30:{3,4,6}:{(16,1),(20,1),(44,1),(45,1),(46,1),(47,1),(51,1),(71,1),(93,1)}
        31:{1,2,5}:{(17,1),(18,1),(19,1),(48,1)}
        32:{2,3,6}:{(18,1),(20,1),(44,1),(48,1),(49,1),(71,1)}
        33:{1,3,6}:{(19,1),(20,1),(45,1),(48,1),(50,1),(71,1)}
        34:{3,5,6}:{(20,1),(21,1),(23,1),(51,1),(52,1),(54,1),(82,1)}
        35:{3,7}:{(20,1),(24,1)}
        36:{4,5}:{(21,1),(51,1)}
        37:{3,5,7}:{(21,1),(22,1),(25,1),(53,1),(54,1)}
        38:{1,2,5,7}:{(23,1),(24,1),(52,1),(55,1),(77,1),(78,1)}
        39:{1,2,6}:{(25,1),(54,1)}
        40:{3,4}:{(26,1),(56,1)}
        41:{1,2,4,5}:{(26,1),(28,1),(29,1),(31,1),(56,1),(58,1),(59,1),(85,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(57,1),(59,1),(60,1),(88,1)}
        43:{1,2,3,7}:{(27,1),(60,1),(67,1),(84,1)}
        44:{2,4,6}:{(28,1),(30,1),(32,1),(61,1),(62,1)}
        45:{1,4,6}:{(29,1),(30,1),(33,1),(63,1),(64,1)}
        46:{3,5,6}:{(30,1),(61,1),(63,1),(65,1),(66,1)}
        47:{3,4,7}:{(30,1),(35,1),(62,1),(64,1),(66,1),(68,1),(84,1),(99,1)}
        48:{1,2,6}:{(31,1),(32,1),(33,1),(67,1)}
        49:{2,3,7}:{(32,1),(35,1),(62,1),(67,1),(84,1)}
        50:{1,3,7}:{(33,1),(35,1),(64,1),(67,1),(84,1)}
        51:{4,6}:{(34,1),(36,1),(68,1)}
        52:{3,5,7}:{(34,1),(35,1),(38,1),(68,1),(69,1),(92,1)}
        53:{4,5,7}:{(36,1),(37,1),(68,1),(70,1),(92,1)}
        54:{3,6}:{(37,1),(39,1),(70,1)}
        55:{1,2,6,7}:{(38,1),(39,1),(69,1),(89,1),(90,1)}
        56:{3,5}:{(40,1),(41,1),(71,1)}
        57:{3,4,6}:{(40,1),(42,1),(71,1),(72,1),(73,1),(93,1),(96,1)}
        58:{1,2,4,6}:{(41,1),(44,1),(45,1),(48,1),(71,1),(74,1),(75,1),(93,1)}
        59:{1,2,5}:{(42,1),(72,1)}
        60:{1,2,4,7}:{(42,1),(43,1),(73,1),(76,1)}
        61:{2,5,6}:{(44,1),(46,1),(77,1)}
        62:{2,4,7}:{(44,1),(47,1),(49,1),(77,1)}
        63:{1,5,6}:{(45,1),(46,1),(78,1)}
        64:{1,4,7}:{(45,1),(47,1),(50,1),(78,1)}
        65:{4,5,6}:{(46,1),(51,1),(79,1),(82,1),(93,1),(103,1)}
        66:{3,5,7}:{(46,1),(47,1),(77,1),(78,1),(79,1),(80,1)}
        67:{1,2,7}:{(48,1),(49,1),(50,1)}
        68:{4,7}:{(51,1),(52,1)}
        69:{3,6,7}:{(52,1),(54,1),(55,1),(81,1)}
        70:{4,6}:{(53,1),(54,1),(82,1)}
        71:{3,6}:{(56,1),(58,1),(84,1)}
        72:{3,5}:{(57,1),(59,1),(85,1)}
        73:{3,4,7}:{(57,1),(60,1),(84,1),(86,1),(99,1)}
        74:{1,2,5,6}:{(58,1),(59,1),(61,1),(63,1),(83,1),(87,1),(88,1)}
        75:{1,2,4,7}:{(58,1),(62,1),(64,1),(67,1),(84,1),(87,1),(99,1)}
        76:{1,2,5,7}:{(59,1),(60,1),(86,1),(88,1)}
        77:{2,5,7}:{(61,1),(62,1),(66,1),(89,1)}
        78:{1,5,7}:{(63,1),(64,1),(66,1),(90,1)}
        79:{4,5,7}:{(65,1),(66,1),(68,1),(91,1),(92,1),(99,1),(104,1)}
        80:{3,6,7}:{(66,1),(89,1),(90,1),(91,1)}
        81:{4,6,7}:{(68,1),(69,1),(70,1),(92,1)}
        82:{5,6}:{(70,1),(92,1)}
        83:{3,5,6}:{(71,1),(72,1),(74,1),(93,1),(94,1),(96,1),(103,1)}
        84:{3,7}:{(71,1),(75,1)}
        85:{4,5}:{(72,1),(93,1)}
        86:{3,5,7}:{(72,1),(73,1),(76,1),(95,1),(96,1)}
        87:{1,2,5,7}:{(74,1),(75,1),(77,1),(78,1),(94,1),(97,1)}
        88:{1,2,6}:{(76,1),(96,1)}
        89:{2,6,7}:{(77,1),(80,1)}
        90:{1,6,7}:{(78,1),(80,1)}
        91:{4,6,7}:{(79,1),(80,1),(98,1)}
        92:{5,7}:{(81,1),(82,1)}
        93:{4,6}:{(83,1),(85,1),(99,1)}
        94:{3,5,7}:{(83,1),(84,1),(87,1),(99,1),(100,1),(104,1)}
        95:{4,5,7}:{(85,1),(86,1),(99,1),(101,1),(104,1)}
        96:{3,6}:{(86,1),(88,1),(101,1)}
        97:{1,2,6,7}:{(87,1),(88,1),(89,1),(90,1),(100,1)}
        98:{5,6,7}:{(91,1),(92,1),(104,1)}
        99:{4,7}:{(93,1),(94,1)}
       100:{3,6,7}:{(94,1),(96,1),(97,1),(102,1)}
       101:{4,6}:{(95,1),(96,1),(103,1)}
       102:{4,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       103:{5,6}:{(101,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 583 :   0:{1,3,5,6}:{(2,1),(3,1),(4,1),(18,1),(22,1),(50,1),(55,1),(56,1),(94,1),(96,1),(125,1),(150,1)}
         1:{2,3,5,6}:{(2,1),(5,1),(6,1),(20,1),(22,1),(51,1),(58,1),(59,1),(95,1),(96,1),(126,1),(150,1)}
         2:{1,2,5,6}:{(0,1),(1,1),(9,1),(10,1),(33,1),(36,1),(72,1),(77,1),(79,1),(112,1),(139,1)}
         3:{1,4,6}:{(0,1),(7,1),(11,1),(12,1),(69,1),(115,1),(159,1)}
         4:{1,3,5,7}:{(0,1),(10,1),(12,1),(13,1),(34,1),(41,1),(45,1),(84,1)}
         5:{2,4,6}:{(1,1),(8,1),(14,1),(15,1),(70,1),(115,1),(159,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(15,1),(16,1),(37,1),(41,1),(48,1),(84,1)}
         7:{1,4,5}:{(3,1),(18,1),(125,1),(127,1)}
         8:{2,4,5}:{(5,1),(20,1),(126,1),(127,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(5,1),(17,1),(22,1),(23,1),(25,1),(28,1),(60,1),(89,1)}
        10:{1,2,5,7}:{(2,1),(4,1),(6,1),(23,1),(24,1),(54,1),(57,1)}
        11:{3,4,6}:{(3,1),(18,1),(22,1),(25,1),(26,1),(49,1),(55,1)}
        12:{1,4,7}:{(3,1),(4,1),(26,1),(104,1)}
        13:{1,3,6,7}:{(4,1),(24,1),(27,1),(55,1),(63,1),(94,1),(157,1)}
        14:{3,4,6}:{(5,1),(20,1),(22,1),(28,1),(29,1),(49,1),(58,1)}
        15:{2,4,7}:{(5,1),(6,1),(29,1),(104,1)}
        16:{2,3,6,7}:{(6,1),(24,1),(30,1),(58,1),(63,1),(95,1),(158,1)}
        17:{1,2,4,5}:{(7,1),(8,1),(9,1),(31,1),(33,1),(36,1),(69,1),(70,1),(72,1),(139,1),(159,1)}
        18:{3,5}:{(7,1),(11,1),(33,1)}
        19:{1,4,5,7}:{(7,1),(12,1),(34,1),(35,1),(45,1),(86,1)}
        20:{3,5}:{(8,1),(14,1),(36,1)}
        21:{2,4,5,7}:{(8,1),(15,1),(37,1),(38,1),(48,1),(88,1)}
        22:{3,6}:{(9,1),(31,1),(41,1),(107,1)}
        23:{1,2,4,7}:{(9,1),(10,1),(12,1),(15,1),(41,1),(43,1),(46,1),(81,1)}
        24:{1,2,6,7}:{(10,1),(13,1),(16,1),(77,1),(79,1),(112,1),(165,1)}
        25:{2,4,6}:{(11,1),(33,1),(40,1),(43,1),(70,1),(77,1)}
        26:{3,4,7}:{(11,1),(12,1),(34,1),(41,1),(43,1)}
        27:{1,4,6,7}:{(12,1),(13,1),(35,1),(44,1),(45,1),(109,1),(145,1),(149,1)}
        28:{1,4,6}:{(14,1),(36,1),(39,1),(46,1),(69,1),(79,1)}
        29:{3,4,7}:{(14,1),(15,1),(37,1),(41,1),(46,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(38,1),(47,1),(48,1),(110,1),(146,1),(148,1)}
        31:{3,5}:{(17,1),(22,1),(49,1)}
        32:{1,2,4,5,7}:{(17,1),(19,1),(21,1),(23,1),(52,1),(53,1),(54,1),(57,1),(64,1),(90,1),(91,1),(93,1),(104,1),(105,1),(106,1),(125,1),(126,1),(127,1),(133,1),(136,1),(137,1),(151,1)}
        33:{2,5}:{(18,1),(25,1)}
        34:{3,5,7}:{(18,1),(19,1),(26,1),(54,1),(55,1)}
        35:{1,4,6}:{(19,1),(55,1),(56,1),(98,1)}
        36:{1,5}:{(20,1),(28,1)}
        37:{3,5,7}:{(20,1),(21,1),(29,1),(57,1),(58,1)}
        38:{2,4,6}:{(21,1),(58,1),(59,1),(100,1)}
        39:{1,3,6}:{(22,1),(28,1),(50,1),(60,1),(61,1)}
        40:{2,3,6}:{(22,1),(25,1),(51,1),(60,1),(62,1)}
        41:{3,7}:{(22,1),(23,1)}
        42:{1,2,4,6,7}:{(23,1),(24,1),(27,1),(30,1),(53,1),(63,1),(64,1),(65,1),(67,1),(101,1),(104,1),(124,1),(133,1)}
        43:{2,4,7}:{(25,1),(26,1),(54,1),(62,1)}
        44:{3,4,6,7}:{(26,1),(27,1),(55,1),(63,1),(65,1),(66,1),(92,1),(98,1),(104,1),(131,1),(135,1)}
        45:{1,5,7}:{(27,1),(56,1),(66,1),(125,1)}
        46:{1,4,7}:{(28,1),(29,1),(57,1),(61,1)}
        47:{3,4,6,7}:{(29,1),(30,1),(58,1),(63,1),(67,1),(68,1),(92,1),(100,1),(104,1),(132,1),(134,1)}
        48:{2,5,7}:{(30,1),(59,1),(68,1),(126,1)}
        49:{3,4}:{(31,1),(69,1),(70,1),(107,1),(159,1)}
        50:{1,3,5}:{(31,1),(36,1),(39,1),(69,1),(72,1),(107,1)}
        51:{2,3,5}:{(31,1),(33,1),(40,1),(70,1),(72,1),(107,1)}
        52:{3,5,7}:{(31,1),(32,1),(41,1),(71,1),(75,1),(111,1),(147,1),(160,1)}
        53:{1,2,4,6}:{(32,1),(35,1),(38,1),(75,1),(76,1),(77,1),(79,1),(109,1),(110,1),(112,1),(115,1),(116,1),(117,1),(145,1),(146,1)}
        54:{2,5,7}:{(33,1),(34,1),(43,1),(77,1)}
        55:{3,6}:{(34,1),(35,1),(77,1)}
        56:{1,5,6}:{(35,1),(45,1),(78,1),(145,1)}
        57:{1,5,7}:{(36,1),(37,1),(46,1),(79,1)}
        58:{3,6}:{(37,1),(38,1),(79,1)}
        59:{2,5,6}:{(38,1),(48,1),(80,1),(146,1)}
        60:{1,2,6}:{(39,1),(40,1),(72,1),(81,1)}
        61:{1,3,7}:{(39,1),(41,1),(46,1),(81,1)}
        62:{2,3,7}:{(40,1),(41,1),(43,1),(81,1)}
        63:{3,6,7}:{(41,1),(42,1),(75,1),(84,1),(138,1),(147,1)}
        64:{1,2,5,7}:{(42,1),(45,1),(48,1),(76,1),(84,1),(85,1),(87,1),(139,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(77,1),(83,1),(85,1),(110,1),(116,1),(120,1)}
        66:{3,5,7}:{(44,1),(45,1),(78,1),(85,1),(86,1),(111,1)}
        67:{1,4,6,7}:{(46,1),(47,1),(79,1),(82,1),(87,1),(109,1),(117,1),(119,1)}
        68:{3,5,7}:{(47,1),(48,1),(80,1),(87,1),(88,1),(111,1)}
        69:{1,4}:{(49,1),(50,1)}
        70:{2,4}:{(49,1),(51,1)}
        71:{3,4,7}:{(49,1),(52,1),(90,1),(91,1),(92,1),(104,1),(123,1),(166,1)}
        72:{1,2,5}:{(50,1),(51,1),(60,1),(89,1)}
        73:{1,3,5,7}:{(50,1),(52,1),(57,1),(61,1),(90,1),(93,1),(94,1),(123,1),(125,1),(136,1),(150,1),(157,1),(167,1)}
        74:{2,3,5,7}:{(51,1),(52,1),(54,1),(62,1),(91,1),(93,1),(95,1),(123,1),(126,1),(137,1),(150,1),(158,1),(168,1)}
        75:{3,6}:{(52,1),(53,1)}
        76:{1,2,5,6}:{(53,1),(56,1),(59,1),(64,1),(96,1),(97,1),(99,1),(125,1),(126,1)}
        77:{2,6}:{(54,1),(55,1)}
        78:{3,5,6}:{(55,1),(56,1),(66,1),(97,1),(98,1),(131,1)}
        79:{1,6}:{(57,1),(58,1)}
        80:{3,5,6}:{(58,1),(59,1),(68,1),(99,1),(100,1),(132,1)}
        81:{1,2,7}:{(60,1),(61,1),(62,1)}
        82:{1,3,6,7}:{(61,1),(63,1),(67,1),(94,1),(101,1),(102,1),(132,1)}
        83:{2,3,6,7}:{(62,1),(63,1),(65,1),(95,1),(101,1),(103,1),(131,1)}
        84:{3,5,7}:{(63,1),(64,1),(96,1),(104,1),(150,1)}
        85:{2,5,7}:{(65,1),(66,1),(97,1),(126,1)}
        86:{4,5,7}:{(66,1),(98,1),(104,1),(127,1)}
        87:{1,5,7}:{(67,1),(68,1),(99,1),(125,1)}
        88:{4,5,7}:{(68,1),(100,1),(104,1),(127,1)}
        89:{1,2,4}:{(69,1),(70,1),(72,1),(107,1)}
        90:{1,4,7}:{(69,1),(71,1),(73,1),(109,1),(159,1),(170,1)}
        91:{2,4,7}:{(70,1),(71,1),(74,1),(110,1),(159,1),(171,1)}
        92:{3,4,6}:{(71,1),(75,1),(109,1),(110,1),(111,1),(115,1),(138,1),(159,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(81,1),(108,1),(112,1),(139,1),(165,1),(172,1)}
        94:{1,3,6}:{(73,1),(75,1),(79,1),(109,1),(112,1),(138,1),(145,1)}
        95:{2,3,6}:{(74,1),(75,1),(77,1),(110,1),(112,1),(138,1),(146,1)}
        96:{3,5,6}:{(75,1),(76,1),(84,1),(111,1),(115,1)}
        97:{2,5,6}:{(77,1),(78,1),(85,1),(116,1)}
        98:{4,6}:{(78,1),(86,1)}
        99:{1,5,6}:{(79,1),(80,1),(87,1),(117,1)}
       100:{4,6}:{(80,1),(88,1)}
       101:{1,2,6,7}:{(81,1),(82,1),(83,1),(112,1),(118,1),(145,1),(146,1)}
       102:{1,3,5,7}:{(82,1),(84,1),(87,1),(113,1),(118,1),(119,1),(122,1),(147,1)}
       103:{2,3,5,7}:{(83,1),(84,1),(85,1),(114,1),(118,1),(120,1),(121,1),(147,1)}
       104:{4,7}:{(84,1),(115,1),(159,1)}
       105:{2,4,5,7}:{(85,1),(86,1),(116,1),(120,1),(121,1),(141,1)}
       106:{1,4,5,7}:{(87,1),(88,1),(117,1),(119,1),(122,1),(140,1)}
       107:{3}:{(89,1)}
       108:{1,2,4,7}:{(89,1),(90,1),(91,1),(93,1),(123,1),(124,1),(173,1)}
       109:{1,4,6}:{(90,1),(92,1),(94,1),(125,1)}
       110:{2,4,6}:{(91,1),(92,1),(95,1),(126,1)}
       111:{3,5}:{(92,1),(125,1),(126,1),(127,1)}
       112:{1,2,6}:{(93,1),(94,1),(95,1)}
       113:{1,3,5,6}:{(94,1),(96,1),(99,1),(102,1),(125,1),(128,1),(129,1),(132,1),(150,1),(152,1),(154,1),(167,1)}
       114:{2,3,5,6}:{(95,1),(96,1),(97,1),(103,1),(126,1),(128,1),(130,1),(131,1),(150,1),(153,1),(154,1),(168,1)}
       115:{4,6}:{(96,1),(104,1),(127,1)}
       116:{2,4,6}:{(97,1),(98,1),(105,1),(131,1)}
       117:{1,4,6}:{(99,1),(100,1),(106,1),(132,1)}
       118:{1,2,5,7}:{(101,1),(102,1),(103,1),(128,1),(133,1),(136,1),(137,1)}
       119:{1,4,7}:{(102,1),(104,1),(129,1),(134,1)}
       120:{2,4,7}:{(103,1),(104,1),(130,1),(135,1)}
       121:{3,5,7}:{(105,1),(131,1),(135,1),(136,1),(153,1)}
       122:{3,5,7}:{(106,1),(132,1),(134,1),(137,1),(152,1)}
       123:{3,7}:{(107,1),(108,1),(138,1),(174,1)}
       124:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(138,1),(139,1),(159,1)}
       125:{1,5}:{(109,1),(111,1)}
       126:{2,5}:{(110,1),(111,1)}
       127:{4,5}:{(111,1),(115,1),(159,1)}
       128:{1,2,5,6}:{(112,1),(113,1),(114,1),(118,1),(139,1),(142,1),(145,1),(146,1),(161,1),(162,1),(172,1)}
       129:{1,4,6}:{(113,1),(115,1),(119,1),(140,1),(143,1),(159,1),(170,1)}
       130:{2,4,6}:{(114,1),(115,1),(120,1),(141,1),(144,1),(159,1),(171,1)}
       131:{3,6}:{(116,1),(121,1),(145,1)}
       132:{3,6}:{(117,1),(122,1),(146,1)}
       133:{1,2,4,7}:{(118,1),(119,1),(120,1),(142,1),(147,1),(148,1),(149,1),(165,1)}
       134:{3,4,7}:{(119,1),(122,1),(143,1),(147,1),(148,1)}
       135:{3,4,7}:{(120,1),(121,1),(144,1),(147,1),(149,1)}
       136:{1,5,7}:{(121,1),(145,1),(149,1),(162,1)}
       137:{2,5,7}:{(122,1),(146,1),(148,1),(161,1)}
       138:{3,6}:{(123,1),(124,1),(150,1)}
       139:{1,2,5}:{(124,1),(125,1),(126,1),(150,1)}
       140:{1,4,5}:{(125,1),(127,1),(129,1),(152,1)}
       141:{2,4,5}:{(126,1),(127,1),(130,1),(153,1)}
       142:{1,2,4,6}:{(128,1),(129,1),(130,1),(133,1),(151,1),(154,1),(155,1),(156,1),(169,1),(173,1)}
       143:{3,4,6}:{(129,1),(132,1),(134,1),(152,1),(154,1),(155,1),(166,1)}
       144:{3,4,6}:{(130,1),(131,1),(135,1),(153,1),(154,1),(156,1),(166,1)}
       145:{1,6}:{(131,1),(136,1)}
       146:{2,6}:{(132,1),(137,1)}
       147:{3,7}:{(133,1),(154,1)}
       148:{2,4,7}:{(134,1),(137,1),(155,1),(158,1)}
       149:{1,4,7}:{(135,1),(136,1),(156,1),(157,1)}
       150:{3,5}:{(138,1),(139,1),(159,1)}
       151:{1,2,4,5}:{(139,1),(140,1),(141,1),(142,1),(159,1),(160,1),(161,1),(162,1),(170,1),(171,1),(172,1)}
       152:{3,5}:{(140,1),(143,1),(161,1)}
       153:{3,5}:{(141,1),(144,1),(162,1)}
       154:{3,6}:{(142,1),(147,1),(160,1),(174,1)}
       155:{2,4,6}:{(143,1),(146,1),(148,1),(161,1),(164,1),(171,1)}
       156:{1,4,6}:{(144,1),(145,1),(149,1),(162,1),(163,1),(170,1)}
       157:{1,3,7}:{(147,1),(149,1),(163,1),(165,1)}
       158:{2,3,7}:{(147,1),(148,1),(164,1),(165,1)}
       159:{4}:{(150,1)}
       160:{3,5}:{(151,1),(154,1),(166,1)}
       161:{2,5}:{(152,1),(155,1)}
       162:{1,5}:{(153,1),(156,1)}
       163:{1,3,6}:{(154,1),(156,1),(157,1),(167,1),(169,1)}
       164:{2,3,6}:{(154,1),(155,1),(158,1),(168,1),(169,1)}
       165:{1,2,7}:{(157,1),(158,1),(169,1)}
       166:{3,4}:{(159,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(160,1),(162,1),(163,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(160,1),(161,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(163,1),(164,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

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

 585 :   0:{1,2,5,6,7}:{(1,1),(2,1),(30,1),(31,1),(59,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(17,1),(75,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(19,1),(24,1),(74,1)}
         3:{1,2,4,5,6}:{(5,1),(7,1),(16,1),(25,1),(26,1),(27,1),(42,1),(43,1),(50,1),(74,1),(97,1),(103,1),(104,1)}
         4:{4,6,7}:{(1,1),(8,1),(88,1)}
         5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(10,1),(30,1),(31,1),(35,1),(36,1),(37,1)}
         6:{3,6,7}:{(2,1),(10,1),(87,1)}
         7:{3,5,6}:{(3,1),(10,1),(13,1),(66,1),(87,1),(102,1)}
         8:{4,5,7}:{(4,1),(16,1),(17,1),(79,1),(97,1)}
         9:{3,4,6,7}:{(4,1),(6,1),(17,1),(18,1),(19,1),(21,1),(41,1),(47,1),(79,1),(96,1)}
        10:{3,5,7}:{(5,1),(6,1),(7,1),(21,1)}
        11:{1,3,6,7}:{(6,1),(18,1),(22,1),(24,1),(47,1),(72,1),(95,1)}
        12:{2,3,6,7}:{(6,1),(19,1),(23,1),(24,1),(47,1),(73,1),(94,1)}
        13:{3,4,6}:{(7,1),(20,1),(21,1),(25,1),(26,1),(56,1),(82,1)}
        14:{1,3,5,6}:{(7,1),(22,1),(25,1),(27,1),(42,1),(48,1),(56,1),(72,1),(75,1),(81,1),(95,1),(104,1)}
        15:{2,3,5,6}:{(7,1),(23,1),(26,1),(27,1),(43,1),(49,1),(56,1),(73,1),(75,1),(80,1),(94,1),(103,1)}
        16:{4,5,6}:{(8,1),(28,1),(88,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(30,1),(31,1),(102,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(30,1),(35,1),(57,1),(101,1)}
        19:{2,4,6,7}:{(9,1),(12,1),(31,1),(36,1),(58,1),(100,1)}
        20:{3,4,5}:{(13,1),(33,1),(34,1),(66,1),(102,1)}
        21:{3,4,7}:{(10,1),(13,1),(35,1),(36,1),(69,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(30,1),(35,1),(37,1),(63,1),(69,1)}
        23:{2,3,5,7}:{(10,1),(12,1),(15,1),(31,1),(36,1),(37,1),(63,1),(69,1)}
        24:{1,2,6,7}:{(11,1),(12,1),(37,1),(85,1),(86,1)}
        25:{1,4,6}:{(13,1),(14,1),(33,1),(35,1),(88,1),(93,1)}
        26:{2,4,6}:{(13,1),(15,1),(34,1),(36,1),(88,1),(92,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(37,1),(40,1),(64,1),(65,1),(85,1),(86,1)}
        28:{3,5,6}:{(16,1),(17,1),(41,1),(42,1),(43,1)}
        29:{3,4,5,7}:{(17,1),(20,1),(21,1),(41,1),(44,1),(45,1),(78,1),(79,1),(97,1)}
        30:{1,5,7}:{(17,1),(18,1),(42,1),(104,1)}
        31:{2,5,7}:{(17,1),(19,1),(43,1),(103,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(24,1),(46,1),(47,1),(53,1),(74,1),(79,1)}
        33:{1,4,5}:{(20,1),(25,1),(48,1),(97,1),(104,1)}
        34:{2,4,5}:{(20,1),(26,1),(49,1),(97,1),(103,1)}
        35:{1,4,7}:{(21,1),(22,1),(25,1),(79,1)}
        36:{2,4,7}:{(21,1),(23,1),(26,1),(79,1)}
        37:{1,2,5,7}:{(22,1),(23,1),(24,1),(27,1),(53,1)}
        38:{1,3,4,6}:{(25,1),(48,1),(51,1),(54,1),(56,1),(72,1),(82,1),(96,1)}
        39:{2,3,4,6}:{(26,1),(49,1),(52,1),(55,1),(56,1),(73,1),(82,1),(96,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(50,1),(53,1),(56,1)}
        41:{3,4,6}:{(28,1),(29,1),(57,1),(58,1),(87,1),(88,1)}
        42:{1,5,6}:{(28,1),(30,1),(57,1)}
        43:{2,5,6}:{(28,1),(31,1),(58,1)}
        44:{1,4,5,7}:{(29,1),(30,1),(33,1),(35,1),(57,1),(60,1)}
        45:{2,4,5,7}:{(29,1),(31,1),(34,1),(36,1),(58,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(32,1),(59,1),(63,1)}
        47:{3,6,7}:{(32,1),(63,1),(69,1),(87,1)}
        48:{1,3,5}:{(33,1),(38,1),(64,1),(66,1),(102,1)}
        49:{2,3,5}:{(34,1),(39,1),(65,1),(66,1),(102,1)}
        50:{1,2,4,5}:{(33,1),(34,1),(40,1),(64,1),(65,1),(66,1),(92,1),(93,1)}
        51:{1,3,4,7}:{(35,1),(38,1),(60,1),(67,1),(69,1),(91,1)}
        52:{2,3,4,7}:{(36,1),(39,1),(61,1),(68,1),(69,1),(91,1)}
        53:{1,2,4,7}:{(35,1),(36,1),(37,1),(40,1),(69,1)}
        54:{1,2,4,6}:{(38,1),(64,1),(67,1),(70,1),(85,1),(92,1),(100,1)}
        55:{1,2,4,6}:{(39,1),(65,1),(68,1),(71,1),(86,1),(93,1),(101,1)}
        56:{3,6}:{(40,1),(66,1),(69,1)}
        57:{1,4,6}:{(41,1),(42,1),(44,1),(72,1)}
        58:{2,4,6}:{(41,1),(43,1),(45,1),(73,1)}
        59:{1,2,5,6}:{(42,1),(43,1),(46,1),(74,1),(75,1),(103,1),(104,1)}
        60:{1,3,5,7}:{(44,1),(48,1),(51,1),(72,1),(76,1),(78,1)}
        61:{2,3,5,7}:{(45,1),(49,1),(52,1),(73,1),(77,1),(78,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(53,1),(74,1),(76,1),(77,1),(78,1),(79,1),(97,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5,7}:{(46,1),(47,1),(75,1),(79,1)}
        64:{1,2,5}:{(48,1),(54,1),(80,1),(103,1)}
        65:{1,2,5}:{(49,1),(55,1),(81,1),(104,1)}
        66:{3,5}:{(50,1),(56,1),(82,1)}
        67:{1,2,4,7}:{(51,1),(54,1),(76,1),(83,1),(98,1)}
        68:{1,2,4,7}:{(52,1),(55,1),(77,1),(84,1),(99,1)}
        69:{3,7}:{(53,1),(56,1)}
        70:{2,3,6}:{(54,1),(56,1),(80,1),(83,1)}
        71:{1,3,6}:{(55,1),(56,1),(81,1),(84,1)}
        72:{1,3,6}:{(57,1),(60,1),(85,1),(87,1)}
        73:{2,3,6}:{(58,1),(61,1),(86,1),(87,1)}
        74:{1,2,4,6}:{(57,1),(58,1),(59,1),(62,1),(85,1),(86,1),(87,1),(88,1),(100,1),(101,1)}
        75:{3,5,6}:{(59,1),(63,1),(87,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(60,1),(64,1),(67,1),(85,1),(89,1)}
        77:{1,2,5,7}:{(61,1),(65,1),(68,1),(86,1),(90,1)}
        78:{3,5,7}:{(62,1),(66,1),(69,1),(87,1),(91,1),(102,1)}
        79:{4,7}:{(63,1),(88,1)}
        80:{2,3,5}:{(64,1),(66,1),(70,1),(92,1)}
        81:{1,3,5}:{(65,1),(66,1),(71,1),(93,1)}
        82:{3,4}:{(66,1),(92,1),(93,1)}
        83:{2,3,7}:{(67,1),(69,1),(70,1)}
        84:{1,3,7}:{(68,1),(69,1),(71,1)}
        85:{1,2,6}:{(72,1),(76,1),(94,1)}
        86:{1,2,6}:{(73,1),(77,1),(95,1)}
        87:{3,6}:{(74,1),(78,1)}
        88:{4,6}:{(75,1),(79,1),(97,1)}
        89:{2,3,5,7}:{(76,1),(78,1),(80,1),(83,1),(94,1),(98,1),(103,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(81,1),(84,1),(95,1),(99,1),(104,1)}
        91:{3,4,7}:{(78,1),(79,1),(82,1),(96,1),(98,1),(99,1)}
        92:{2,4}:{(80,1),(82,1)}
        93:{1,4}:{(81,1),(82,1)}
        94:{2,3,6}:{(85,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(86,1),(87,1),(90,1),(101,1)}
        96:{3,4,6}:{(87,1),(88,1),(91,1),(100,1),(101,1),(102,1)}
        97:{4,5}:{(88,1),(102,1)}
        98:{2,4,7}:{(89,1),(91,1),(92,1),(100,1)}
        99:{1,4,7}:{(90,1),(91,1),(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(96,1),(98,1),(103,1)}
       101:{1,4,6}:{(95,1),(96,1),(99,1),(104,1)}
       102:{3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{1,5}:{(101,1),(102,1)}

 586 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(28,1),(54,1)}
         1:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(20,1)}
         2:{1,2,3,5}:{(0,1),(5,1),(7,1),(19,1),(44,1),(45,1)}
         3:{1,2,3,7}:{(0,1),(6,1),(43,1),(68,1)}
         4:{3,4,6}:{(1,1),(8,1),(9,1),(13,1),(23,1),(27,1),(28,1)}
         5:{1,2,5}:{(1,1),(8,1)}
         6:{1,2,4,7}:{(1,1),(3,1),(9,1),(12,1)}
         7:{1,2,4}:{(2,1),(13,1)}
         8:{3,5}:{(4,1),(5,1),(15,1)}
         9:{3,4,7}:{(4,1),(6,1),(16,1),(36,1),(43,1)}
        10:{1,2,5,6}:{(5,1),(14,1),(17,1),(18,1),(20,1),(58,1),(59,1)}
        11:{1,2,4,5}:{(5,1),(7,1),(15,1),(17,1),(19,1),(38,1),(39,1),(44,1)}
        12:{1,2,5,7}:{(5,1),(6,1),(16,1),(20,1)}
        13:{3,4}:{(7,1),(19,1)}
        14:{3,5,6}:{(8,1),(10,1),(23,1),(24,1),(27,1),(28,1),(53,1)}
        15:{4,5}:{(8,1),(23,1)}
        16:{3,5,7}:{(8,1),(9,1),(12,1),(26,1),(27,1)}
        17:{1,2,4,6}:{(10,1),(11,1),(23,1),(28,1),(29,1),(48,1),(49,1),(54,1)}
        18:{1,2,5,7}:{(10,1),(24,1),(29,1),(30,1),(71,1),(72,1)}
        19:{3,5}:{(11,1),(13,1),(28,1)}
        20:{1,2,6}:{(12,1),(27,1)}
        21:{1,3,4}:{(13,1),(31,1),(33,1),(77,1)}
        22:{2,3,4}:{(13,1),(32,1),(33,1),(77,1)}
        23:{4,6}:{(14,1),(15,1),(36,1)}
        24:{3,5,7}:{(14,1),(18,1),(36,1),(37,1),(43,1),(65,1)}
        25:{3,4,5}:{(15,1),(19,1),(35,1),(38,1),(39,1),(66,1),(94,1)}
        26:{4,5,7}:{(15,1),(16,1),(36,1),(40,1),(65,1)}
        27:{3,6}:{(16,1),(20,1),(40,1)}
        28:{3,6}:{(17,1),(19,1),(43,1)}
        29:{1,2,4,7}:{(17,1),(18,1),(36,1),(43,1),(63,1),(64,1),(68,1)}
        30:{1,2,6,7}:{(18,1),(20,1),(37,1),(82,1),(83,1)}
        31:{1,3,5}:{(19,1),(21,1),(38,1),(41,1),(44,1),(66,1)}
        32:{2,3,5}:{(19,1),(22,1),(39,1),(42,1),(44,1),(66,1)}
        33:{1,2,4}:{(21,1),(22,1),(44,1),(45,1)}
        34:{4,5,6}:{(23,1),(46,1),(47,1),(53,1),(88,1),(104,1)}
        35:{3,4,6}:{(23,1),(25,1),(28,1),(46,1),(48,1),(49,1),(50,1),(75,1),(88,1)}
        36:{4,7}:{(23,1),(24,1)}
        37:{3,6,7}:{(24,1),(27,1),(30,1),(51,1)}
        38:{1,4,5}:{(25,1),(31,1),(48,1)}
        39:{2,4,5}:{(25,1),(32,1),(49,1)}
        40:{4,6}:{(26,1),(27,1),(53,1)}
        41:{1,3,6}:{(28,1),(31,1),(48,1),(54,1),(55,1),(75,1)}
        42:{2,3,6}:{(28,1),(32,1),(49,1),(54,1),(56,1),(75,1)}
        43:{3,7}:{(28,1),(29,1)}
        44:{1,2,5}:{(31,1),(32,1),(33,1),(54,1)}
        45:{1,2,3}:{(33,1)}
        46:{3,5,6}:{(34,1),(35,1),(58,1),(59,1),(60,1)}
        47:{4,5,7}:{(34,1),(36,1),(60,1),(61,1),(65,1),(95,1),(103,1)}
        48:{1,4,6}:{(35,1),(38,1),(41,1),(58,1),(63,1)}
        49:{2,4,6}:{(35,1),(39,1),(42,1),(59,1),(64,1)}
        50:{3,4,7}:{(35,1),(36,1),(43,1),(60,1),(63,1),(64,1),(85,1),(95,1)}
        51:{4,6,7}:{(36,1),(37,1),(40,1),(65,1)}
        52:{1,2,4,5}:{(38,1),(39,1),(44,1),(62,1),(66,1),(69,1),(86,1),(94,1)}
        53:{5,6}:{(40,1),(65,1)}
        54:{1,2,6}:{(41,1),(42,1),(44,1),(68,1)}
        55:{1,3,7}:{(41,1),(43,1),(63,1),(68,1),(85,1)}
        56:{2,3,7}:{(42,1),(43,1),(64,1),(68,1),(85,1)}
        57:{1,2,3,5}:{(44,1),(45,1),(66,1),(67,1),(69,1),(86,1)}
        58:{1,5,6}:{(46,1),(48,1),(71,1)}
        59:{2,5,6}:{(46,1),(49,1),(72,1)}
        60:{3,5,7}:{(46,1),(47,1),(50,1),(71,1),(72,1),(73,1)}
        61:{4,6,7}:{(47,1),(73,1),(74,1)}
        62:{1,2,4,6}:{(48,1),(49,1),(52,1),(54,1),(70,1),(75,1),(76,1),(88,1)}
        63:{1,4,7}:{(48,1),(50,1),(55,1),(71,1)}
        64:{2,4,7}:{(49,1),(50,1),(56,1),(72,1)}
        65:{5,7}:{(51,1),(53,1)}
        66:{3,5}:{(52,1),(75,1),(77,1)}
        67:{1,2,3,6}:{(54,1),(57,1),(75,1),(78,1),(79,1)}
        68:{1,2,7}:{(54,1),(55,1),(56,1)}
        69:{1,2,4}:{(57,1),(77,1)}
        70:{1,2,5,6}:{(58,1),(59,1),(62,1),(80,1),(81,1),(86,1),(98,1)}
        71:{1,5,7}:{(58,1),(60,1),(63,1),(82,1)}
        72:{2,5,7}:{(59,1),(60,1),(64,1),(83,1)}
        73:{3,6,7}:{(60,1),(61,1),(82,1),(83,1)}
        74:{5,6,7}:{(61,1),(65,1),(103,1)}
        75:{3,6}:{(62,1),(66,1),(85,1)}
        76:{1,2,4,7}:{(62,1),(63,1),(64,1),(68,1),(81,1),(85,1),(95,1)}
        77:{3,4}:{(66,1),(69,1)}
        78:{1,2,4,6}:{(67,1),(69,1),(84,1),(86,1),(87,1),(98,1)}
        79:{1,2,3,7}:{(67,1),(68,1),(85,1),(87,1)}
        80:{3,5,6}:{(70,1),(75,1),(88,1),(89,1),(91,1),(101,1),(104,1)}
        81:{1,2,5,7}:{(70,1),(71,1),(72,1),(76,1),(89,1),(90,1)}
        82:{1,6,7}:{(71,1),(73,1)}
        83:{2,6,7}:{(72,1),(73,1)}
        84:{3,4,6}:{(75,1),(77,1),(78,1),(88,1),(91,1),(92,1),(101,1)}
        85:{3,7}:{(75,1),(76,1)}
        86:{1,2,5}:{(78,1),(91,1)}
        87:{1,2,4,7}:{(78,1),(79,1),(92,1),(93,1)}
        88:{4,6}:{(80,1),(94,1),(95,1)}
        89:{3,5,7}:{(80,1),(81,1),(85,1),(95,1),(96,1),(103,1)}
        90:{1,2,6,7}:{(81,1),(82,1),(83,1),(96,1),(98,1)}
        91:{3,5}:{(84,1),(86,1),(94,1)}
        92:{3,4,7}:{(84,1),(85,1),(87,1),(95,1),(97,1)}
        93:{1,2,5,7}:{(86,1),(87,1),(97,1),(98,1)}
        94:{4,5}:{(88,1),(91,1)}
        95:{4,7}:{(88,1),(89,1)}
        96:{3,6,7}:{(89,1),(90,1),(100,1),(101,1)}
        97:{3,5,7}:{(91,1),(92,1),(93,1),(99,1),(101,1)}
        98:{1,2,6}:{(93,1),(101,1)}
        99:{4,5,7}:{(94,1),(95,1),(97,1),(102,1),(103,1)}
       100:{4,6,7}:{(95,1),(96,1),(102,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(102,1)}
       102:{4,6}:{(99,1),(101,1),(104,1)}
       103:{5,7}:{(100,1),(104,1)}
       104:{5,6}:{(102,1),(103,1)}

 587 :   0:{1,2,3,7}:{(1,1),(2,1),(44,1),(68,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(4,1),(5,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(34,1),(58,1)}
         3:{3,4,7}:{(1,1),(7,1),(8,1),(40,1),(44,1)}
         4:{1,2,5,7}:{(1,1),(7,1),(9,1),(10,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(9,1),(10,1),(11,1)}
         6:{1,2,3,5}:{(2,1),(10,1),(11,1),(25,1),(47,1),(48,1)}
         7:{3,5,7}:{(3,1),(4,1),(12,1),(13,1),(14,1)}
         8:{3,4,6}:{(3,1),(5,1),(13,1),(14,1),(18,1),(31,1),(34,1)}
         9:{1,2,6}:{(4,1),(13,1)}
        10:{1,2,5}:{(5,1),(14,1)}
        11:{1,2,4}:{(6,1),(18,1)}
        12:{4,5,7}:{(7,1),(19,1),(22,1),(38,1),(40,1)}
        13:{3,6}:{(7,1),(9,1),(19,1)}
        14:{3,5}:{(8,1),(10,1),(22,1)}
        15:{1,2,6,7}:{(9,1),(20,1),(23,1),(80,1),(81,1)}
        16:{1,2,5,6}:{(9,1),(10,1),(21,1),(23,1),(24,1),(62,1),(63,1)}
        17:{1,2,4,5}:{(10,1),(11,1),(22,1),(24,1),(25,1),(42,1),(43,1),(47,1)}
        18:{3,4}:{(11,1),(25,1)}
        19:{4,6}:{(12,1),(13,1),(29,1)}
        20:{3,6,7}:{(13,1),(15,1),(28,1),(30,1)}
        21:{3,5,6}:{(13,1),(14,1),(16,1),(29,1),(30,1),(31,1),(34,1)}
        22:{4,5}:{(14,1),(31,1)}
        23:{1,2,5,7}:{(15,1),(16,1),(30,1),(33,1),(72,1),(73,1)}
        24:{1,2,4,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(53,1),(54,1),(58,1)}
        25:{3,5}:{(17,1),(18,1),(34,1)}
        26:{1,3,4}:{(18,1),(35,1),(37,1),(77,1)}
        27:{2,3,4}:{(18,1),(36,1),(37,1),(77,1)}
        28:{4,6,7}:{(19,1),(20,1),(38,1),(40,1)}
        29:{5,6}:{(19,1),(38,1)}
        30:{3,5,7}:{(20,1),(21,1),(23,1),(38,1),(40,1),(44,1)}
        31:{4,6}:{(21,1),(22,1),(40,1)}
        32:{3,4,5}:{(22,1),(25,1),(41,1),(42,1),(43,1),(67,1),(96,1)}
        33:{1,2,4,7}:{(23,1),(24,1),(40,1),(44,1),(64,1),(65,1),(68,1)}
        34:{3,6}:{(24,1),(25,1),(44,1)}
        35:{1,3,5}:{(25,1),(26,1),(42,1),(45,1),(47,1),(67,1)}
        36:{2,3,5}:{(25,1),(27,1),(43,1),(46,1),(47,1),(67,1)}
        37:{1,2,4}:{(26,1),(27,1),(47,1),(48,1)}
        38:{5,7}:{(28,1),(29,1)}
        39:{4,5,6}:{(29,1),(31,1),(50,1),(51,1),(90,1),(104,1)}
        40:{4,7}:{(30,1),(31,1)}
        41:{3,4,6}:{(31,1),(32,1),(34,1),(51,1),(52,1),(53,1),(54,1),(76,1),(90,1)}
        42:{1,4,5}:{(32,1),(35,1),(53,1)}
        43:{2,4,5}:{(32,1),(36,1),(54,1)}
        44:{3,7}:{(33,1),(34,1)}
        45:{1,3,6}:{(34,1),(35,1),(53,1),(56,1),(58,1),(76,1)}
        46:{2,3,6}:{(34,1),(36,1),(54,1),(57,1),(58,1),(76,1)}
        47:{1,2,5}:{(35,1),(36,1),(37,1),(58,1)}
        48:{1,2,3}:{(37,1)}
        49:{5,6,7}:{(38,1),(60,1),(102,1)}
        50:{4,5,7}:{(38,1),(39,1),(40,1),(60,1),(61,1),(95,1),(102,1)}
        51:{3,5,6}:{(39,1),(41,1),(61,1),(62,1),(63,1)}
        52:{3,4,7}:{(40,1),(41,1),(44,1),(61,1),(64,1),(65,1),(84,1),(95,1)}
        53:{1,4,6}:{(41,1),(42,1),(45,1),(62,1),(64,1)}
        54:{2,4,6}:{(41,1),(43,1),(46,1),(63,1),(65,1)}
        55:{1,2,4,5}:{(42,1),(43,1),(47,1),(66,1),(67,1),(70,1),(87,1),(96,1)}
        56:{1,3,7}:{(44,1),(45,1),(64,1),(68,1),(84,1)}
        57:{2,3,7}:{(44,1),(46,1),(65,1),(68,1),(84,1)}
        58:{1,2,6}:{(45,1),(46,1),(47,1),(68,1)}
        59:{1,2,3,5}:{(47,1),(48,1),(67,1),(69,1),(70,1),(87,1)}
        60:{4,6,7}:{(49,1),(50,1),(71,1)}
        61:{3,5,7}:{(50,1),(51,1),(52,1),(71,1),(72,1),(73,1)}
        62:{1,5,6}:{(51,1),(53,1),(72,1)}
        63:{2,5,6}:{(51,1),(54,1),(73,1)}
        64:{1,4,7}:{(52,1),(53,1),(56,1),(72,1)}
        65:{2,4,7}:{(52,1),(54,1),(57,1),(73,1)}
        66:{1,2,4,6}:{(53,1),(54,1),(55,1),(58,1),(74,1),(75,1),(76,1),(90,1)}
        67:{3,5}:{(55,1),(76,1),(77,1)}
        68:{1,2,7}:{(56,1),(57,1),(58,1)}
        69:{1,2,3,6}:{(58,1),(59,1),(76,1),(78,1),(79,1)}
        70:{1,2,4}:{(59,1),(77,1)}
        71:{3,6,7}:{(60,1),(61,1),(80,1),(81,1)}
        72:{1,5,7}:{(61,1),(62,1),(64,1),(80,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1),(81,1)}
        74:{1,2,5,6}:{(62,1),(63,1),(66,1),(82,1),(83,1),(87,1),(98,1)}
        75:{1,2,4,7}:{(64,1),(65,1),(66,1),(68,1),(82,1),(84,1),(95,1)}
        76:{3,6}:{(66,1),(67,1),(84,1)}
        77:{3,4}:{(67,1),(70,1)}
        78:{1,2,3,7}:{(68,1),(69,1),(84,1),(86,1)}
        79:{1,2,4,6}:{(69,1),(70,1),(85,1),(86,1),(87,1),(98,1)}
        80:{1,6,7}:{(71,1),(72,1)}
        81:{2,6,7}:{(71,1),(73,1)}
        82:{1,2,5,7}:{(72,1),(73,1),(74,1),(75,1),(88,1),(89,1)}
        83:{3,5,6}:{(74,1),(76,1),(89,1),(90,1),(92,1),(101,1),(104,1)}
        84:{3,7}:{(75,1),(76,1)}
        85:{3,4,6}:{(76,1),(77,1),(79,1),(90,1),(91,1),(92,1),(101,1)}
        86:{1,2,4,7}:{(78,1),(79,1),(91,1),(93,1)}
        87:{1,2,5}:{(79,1),(92,1)}
        88:{1,2,6,7}:{(80,1),(81,1),(82,1),(94,1),(98,1)}
        89:{3,5,7}:{(82,1),(83,1),(84,1),(94,1),(95,1),(102,1)}
        90:{4,6}:{(83,1),(95,1),(96,1)}
        91:{3,4,7}:{(84,1),(85,1),(86,1),(95,1),(97,1)}
        92:{3,5}:{(85,1),(87,1),(96,1)}
        93:{1,2,5,7}:{(86,1),(87,1),(97,1),(98,1)}
        94:{3,6,7}:{(88,1),(89,1),(99,1),(101,1)}
        95:{4,7}:{(89,1),(90,1)}
        96:{4,5}:{(90,1),(92,1)}
        97:{3,5,7}:{(91,1),(92,1),(93,1),(100,1),(101,1)}
        98:{1,2,6}:{(93,1),(101,1)}
        99:{4,6,7}:{(94,1),(95,1),(102,1),(103,1)}
       100:{4,5,7}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{5,7}:{(99,1),(104,1)}
       103:{4,6}:{(100,1),(101,1),(104,1)}
       104:{5,6}:{(102,1),(103,1)}

 588 :   0:{1,3,5,7}:{(2,1),(3,1),(4,1),(15,1),(19,1),(23,1),(54,1)}
         1:{2,3,5,7}:{(2,1),(5,1),(6,1),(17,1),(19,1),(26,1),(54,1)}
         2:{1,2,5,7}:{(0,1),(1,1),(9,1),(10,1),(29,1),(32,1),(38,1)}
         3:{1,4,7}:{(0,1),(11,1),(12,1),(70,1),(100,1)}
         4:{1,3,6}:{(0,1),(10,1),(12,1),(30,1),(37,1),(102,1)}
         5:{2,4,7}:{(1,1),(13,1),(14,1),(70,1),(101,1)}
         6:{2,3,6}:{(1,1),(10,1),(14,1),(33,1),(37,1),(103,1)}
         7:{1,4,5,7}:{(3,1),(15,1),(16,1),(23,1),(44,1),(56,1),(74,1)}
         8:{2,4,5,7}:{(5,1),(17,1),(18,1),(26,1),(46,1),(58,1),(76,1)}
         9:{1,2,4,7}:{(2,1),(3,1),(5,1),(19,1),(20,1),(21,1),(24,1),(51,1)}
        10:{1,2,6}:{(2,1),(4,1),(6,1),(47,1),(49,1),(104,1)}
        11:{3,4,7}:{(3,1),(15,1),(19,1),(21,1),(22,1),(74,1),(93,1)}
        12:{1,4,6}:{(3,1),(4,1),(22,1),(23,1),(95,1),(99,1)}
        13:{3,4,7}:{(5,1),(17,1),(19,1),(24,1),(25,1),(76,1),(94,1)}
        14:{2,4,6}:{(5,1),(6,1),(25,1),(26,1),(96,1),(98,1)}
        15:{3,5,7}:{(7,1),(11,1),(29,1),(30,1),(40,1)}
        16:{1,4,6}:{(7,1),(30,1),(31,1),(64,1)}
        17:{3,5,7}:{(8,1),(13,1),(32,1),(33,1),(42,1)}
        18:{2,4,6}:{(8,1),(33,1),(34,1),(66,1)}
        19:{3,7}:{(9,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(10,1),(12,1),(14,1),(37,1),(38,1),(39,1),(41,1),(67,1),(70,1),(88,1)}
        21:{2,4,7}:{(11,1),(29,1),(36,1),(39,1)}
        22:{3,4,6}:{(11,1),(12,1),(30,1),(37,1),(39,1),(40,1),(64,1),(70,1),(86,1),(90,1)}
        23:{1,5}:{(12,1),(40,1)}
        24:{1,4,7}:{(13,1),(32,1),(35,1),(41,1)}
        25:{3,4,6}:{(13,1),(14,1),(33,1),(37,1),(41,1),(42,1),(66,1),(70,1),(87,1),(89,1)}
        26:{2,5}:{(14,1),(42,1)}
        27:{1,4,6,7}:{(16,1),(43,1),(44,1),(74,1)}
        28:{2,4,6,7}:{(18,1),(45,1),(46,1),(76,1)}
        29:{2,5,7}:{(15,1),(21,1),(47,1),(55,1)}
        30:{3,6}:{(15,1),(16,1),(47,1)}
        31:{1,5,6}:{(16,1),(23,1),(44,1),(48,1),(95,1)}
        32:{1,5,7}:{(17,1),(24,1),(49,1),(57,1)}
        33:{3,6}:{(17,1),(18,1),(49,1)}
        34:{2,5,6}:{(18,1),(26,1),(46,1),(50,1),(96,1)}
        35:{1,3,7}:{(19,1),(24,1),(51,1),(52,1),(94,1)}
        36:{2,3,7}:{(19,1),(21,1),(51,1),(53,1),(93,1)}
        37:{3,6}:{(19,1),(20,1),(54,1),(97,1)}
        38:{1,2,5}:{(20,1),(23,1),(26,1),(54,1),(55,1),(57,1)}
        39:{2,4,6}:{(21,1),(22,1),(47,1),(53,1),(55,1),(81,1)}
        40:{3,5}:{(22,1),(23,1),(55,1),(56,1)}
        41:{1,4,6}:{(24,1),(25,1),(49,1),(52,1),(57,1),(80,1)}
        42:{3,5}:{(25,1),(26,1),(57,1),(58,1)}
        43:{3,6,7}:{(27,1),(30,1),(59,1),(60,1)}
        44:{1,5,7}:{(27,1),(31,1),(60,1),(100,1)}
        45:{3,6,7}:{(28,1),(33,1),(61,1),(62,1)}
        46:{2,5,7}:{(28,1),(34,1),(62,1),(101,1)}
        47:{2,6}:{(29,1),(30,1)}
        48:{3,5,6}:{(30,1),(31,1),(40,1),(60,1),(63,1),(64,1),(86,1)}
        49:{1,6}:{(32,1),(33,1)}
        50:{3,5,6}:{(33,1),(34,1),(42,1),(62,1),(65,1),(66,1),(87,1)}
        51:{1,2,7}:{(35,1),(36,1),(67,1),(100,1),(101,1)}
        52:{1,3,6}:{(35,1),(37,1),(41,1),(67,1),(68,1),(87,1)}
        53:{2,3,6}:{(36,1),(37,1),(39,1),(67,1),(69,1),(86,1)}
        54:{3,5}:{(37,1),(38,1),(70,1)}
        55:{2,5}:{(39,1),(40,1)}
        56:{4,5}:{(40,1),(64,1),(70,1)}
        57:{1,5}:{(41,1),(42,1)}
        58:{4,5}:{(42,1),(66,1),(70,1)}
        59:{2,6,7}:{(43,1),(47,1),(73,1)}
        60:{3,5,7}:{(43,1),(44,1),(48,1),(73,1),(74,1),(93,1)}
        61:{1,6,7}:{(45,1),(49,1),(75,1)}
        62:{3,5,7}:{(45,1),(46,1),(50,1),(75,1),(76,1),(94,1)}
        63:{2,5,6}:{(47,1),(48,1),(55,1),(73,1),(77,1)}
        64:{4,6}:{(48,1),(56,1),(74,1)}
        65:{1,5,6}:{(49,1),(50,1),(57,1),(75,1),(78,1)}
        66:{4,6}:{(50,1),(58,1),(76,1)}
        67:{1,2,6}:{(51,1),(52,1),(53,1),(79,1),(95,1),(96,1)}
        68:{1,3,5}:{(52,1),(54,1),(57,1),(79,1),(80,1),(83,1),(97,1)}
        69:{2,3,5}:{(53,1),(54,1),(55,1),(79,1),(81,1),(82,1),(97,1)}
        70:{4}:{(54,1)}
        71:{2,4,5}:{(55,1),(56,1),(77,1),(81,1),(82,1)}
        72:{1,4,5}:{(57,1),(58,1),(78,1),(80,1),(83,1)}
        73:{2,5,7}:{(59,1),(60,1),(63,1),(84,1)}
        74:{4,7}:{(60,1),(64,1)}
        75:{1,5,7}:{(61,1),(62,1),(65,1),(85,1)}
        76:{4,7}:{(62,1),(66,1)}
        77:{2,4,6}:{(63,1),(64,1),(71,1),(84,1),(86,1)}
        78:{1,4,6}:{(65,1),(66,1),(72,1),(85,1),(87,1)}
        79:{1,2,5}:{(67,1),(68,1),(69,1),(88,1),(91,1),(92,1)}
        80:{1,4}:{(68,1),(70,1),(89,1)}
        81:{2,4}:{(69,1),(70,1),(90,1)}
        82:{3,5}:{(71,1),(86,1),(90,1),(91,1)}
        83:{3,5}:{(72,1),(87,1),(89,1),(92,1)}
        84:{2,4,7}:{(73,1),(74,1),(77,1),(93,1)}
        85:{1,4,7}:{(75,1),(76,1),(78,1),(94,1)}
        86:{3,6}:{(77,1),(82,1),(93,1),(95,1)}
        87:{3,6}:{(78,1),(83,1),(94,1),(96,1)}
        88:{1,2,4}:{(79,1),(80,1),(81,1),(97,1),(98,1),(99,1),(104,1)}
        89:{3,4}:{(80,1),(83,1),(97,1),(98,1)}
        90:{3,4}:{(81,1),(82,1),(97,1),(99,1)}
        91:{1,5}:{(82,1),(95,1),(99,1)}
        92:{2,5}:{(83,1),(96,1),(98,1)}
        93:{3,7}:{(84,1),(86,1),(100,1)}
        94:{3,7}:{(85,1),(87,1),(101,1)}
        95:{1,6}:{(86,1),(91,1),(100,1)}
        96:{2,6}:{(87,1),(92,1),(101,1)}
        97:{3}:{(88,1)}
        98:{2,4}:{(89,1),(92,1),(103,1)}
        99:{1,4}:{(90,1),(91,1),(102,1)}
       100:{1,7}:{(93,1),(95,1)}
       101:{2,7}:{(94,1),(96,1)}
       102:{1,3}:{(97,1),(99,1),(104,1)}
       103:{2,3}:{(97,1),(98,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

 589 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(2,1),(3,1)}
        2:{3,4}:{(1,1),(4,1)}
        3:{1,2,5}:{(1,1),(4,1),(5,1)}
        4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
        5:{1,2,6}:{(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:{1,2,7}:{(5,1),(10,1)}
        9:{4,6}:{(6,1),(7,1),(11,1),(12,1)}
       10:{3,7}:{(7,1),(8,1),(12,1)}
       11:{5,6}:{(9,1),(13,1)}
       12:{4,7}:{(9,1),(10,1),(13,1)}
       13:{5,7}:{(11,1),(12,1),(14,1)}
       14:{6,7}:{(13,1)}

 590 :   0:{1,3,4,6}:{(3,1),(4,1),(5,1),(7,1),(31,1),(34,1),(64,1),(76,1),(115,1)}
         1:{1,3,5,6}:{(4,1),(6,1),(7,1),(8,1),(9,1),(31,1),(34,1),(73,1),(120,1)}
         2:{1,4,5,6}:{(7,1),(9,1),(10,1),(73,1),(122,1)}
         3:{1,2,4,6}:{(0,1),(11,1),(12,1),(13,1),(43,1),(47,1),(91,1)}
         4:{1,3,5}:{(0,1),(12,1),(14,1),(45,1),(99,1),(138,1)}
         5:{1,3,4,7}:{(0,1),(13,1),(15,1),(20,1),(57,1),(90,1),(102,1),(205,1)}
         6:{1,2,5,6}:{(1,1),(12,1),(16,1),(17,1),(18,1),(22,1),(47,1),(99,1),(144,1)}
         7:{1,4,6}:{(1,1),(14,1),(19,1),(20,1),(142,1)}
         8:{1,3,5,7}:{(1,1),(18,1),(20,1),(21,1),(23,1),(57,1),(61,1),(108,1)}
         9:{3,5,6}:{(2,1),(19,1),(22,1),(23,1)}
        10:{1,4,5,7}:{(2,1),(20,1),(23,1),(24,1),(61,1),(110,1)}
        11:{2,3,6}:{(3,1),(25,1),(26,1),(34,1)}
        12:{1,2,5}:{(3,1),(4,1),(25,1),(116,1)}
        13:{1,2,4,7}:{(3,1),(5,1),(26,1),(28,1),(65,1),(208,1)}
        14:{1,4,5}:{(4,1),(7,1),(29,1),(157,1)}
        15:{1,3,5,7}:{(4,1),(5,1),(28,1),(30,1),(31,1),(69,1),(123,1),(191,1),(202,1)}
        16:{2,3,5,6}:{(6,1),(25,1),(32,1),(33,1),(34,1),(66,1),(74,1),(116,1),(120,1),(124,1),(125,1)}
        17:{1,2,4,6}:{(6,1),(7,1),(27,1),(32,1),(34,1),(35,1),(37,1),(76,1),(79,1)}
        18:{1,2,5,7}:{(6,1),(8,1),(33,1),(35,1),(36,1),(40,1),(123,1)}
        19:{3,4,6}:{(7,1),(9,1),(29,1),(34,1),(37,1),(38,1)}
        20:{1,4,7}:{(7,1),(8,1),(38,1),(131,1)}
        21:{1,3,6,7}:{(8,1),(31,1),(36,1),(39,1),(41,1),(82,1),(191,1)}
        22:{2,5,6}:{(9,1),(37,1),(40,1)}
        23:{3,5,7}:{(9,1),(10,1),(38,1),(40,1),(41,1)}
        24:{1,4,6,7}:{(10,1),(41,1),(42,1),(87,1)}
        25:{2,3,5}:{(11,1),(12,1),(43,1),(45,1)}
        26:{2,3,7}:{(11,1),(13,1),(57,1),(209,1)}
        27:{1,2,4,5}:{(12,1),(14,1),(17,1),(43,1),(45,1),(48,1),(51,1),(88,1),(92,1),(99,1)}
        28:{1,2,5,7}:{(12,1),(13,1),(15,1),(44,1),(47,1),(200,1),(207,1)}
        29:{3,4,5}:{(14,1),(19,1),(45,1),(48,1)}
        30:{1,4,5,7}:{(14,1),(15,1),(20,1),(49,1),(50,1),(61,1),(181,1),(196,1)}
        31:{1,3,6}:{(15,1),(47,1),(50,1),(95,1),(144,1)}
        32:{2,4,6}:{(16,1),(43,1),(51,1),(52,1),(53,1),(142,1)}
        33:{2,3,5,7}:{(16,1),(18,1),(53,1),(54,1),(57,1),(100,1),(104,1),(108,1)}
        34:{3,6}:{(17,1),(45,1),(57,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(20,1),(53,1),(57,1),(59,1),(102,1),(105,1)}
        36:{1,2,6,7}:{(18,1),(21,1),(47,1),(54,1),(62,1),(144,1),(200,1)}
        37:{2,4,6}:{(19,1),(22,1),(48,1),(56,1),(59,1)}
        38:{3,4,7}:{(19,1),(20,1),(23,1),(57,1),(59,1)}
        39:{1,4,6,7}:{(20,1),(21,1),(50,1),(60,1),(61,1),(152,1),(181,1)}
        40:{2,5,7}:{(22,1),(23,1),(59,1),(62,1)}
        41:{3,6,7}:{(23,1),(24,1),(62,1)}
        42:{1,5,6,7}:{(24,1),(61,1),(63,1),(152,1)}
        43:{2,4}:{(25,1),(64,1)}
        44:{2,3,5,7}:{(25,1),(26,1),(28,1),(65,1),(66,1),(69,1),(116,1),(190,1),(192,1),(203,1)}
        45:{3,5}:{(27,1),(34,1),(64,1)}
        46:{1,2,4,5,7}:{(27,1),(28,1),(30,1),(35,1),(65,1),(69,1),(70,1),(71,1),(75,1),(83,1),(113,1),(116,1),(117,1),(123,1),(131,1),(155,1),(157,1),(164,1),(165,1),(183,1),(190,1)}
        47:{1,2,6}:{(28,1),(31,1),(66,1)}
        48:{2,4,5}:{(29,1),(37,1),(68,1)}
        49:{3,4,5,7}:{(29,1),(30,1),(38,1),(69,1),(71,1),(72,1),(85,1),(131,1),(157,1),(167,1),(185,1)}
        50:{1,4,6}:{(30,1),(31,1),(72,1),(73,1)}
        51:{2,4,5}:{(32,1),(74,1),(116,1),(157,1)}
        52:{3,4,6}:{(32,1),(34,1),(64,1),(74,1),(76,1),(77,1),(124,1)}
        53:{2,4,7}:{(32,1),(33,1),(77,1),(131,1)}
        54:{2,3,6,7}:{(33,1),(36,1),(66,1),(78,1),(82,1),(124,1),(192,1)}
        55:{1,3,6}:{(34,1),(67,1),(76,1),(79,1),(80,1)}
        56:{2,3,6}:{(34,1),(37,1),(68,1),(79,1),(81,1)}
        57:{3,7}:{(34,1),(35,1)}
        58:{1,2,4,6,7}:{(35,1),(36,1),(39,1),(70,1),(78,1),(82,1),(83,1),(84,1),(126,1),(128,1),(131,1),(165,1)}
        59:{2,4,7}:{(37,1),(38,1),(40,1),(81,1)}
        60:{3,4,6,7}:{(38,1),(39,1),(41,1),(72,1),(82,1),(84,1),(85,1),(87,1),(131,1),(133,1),(167,1)}
        61:{1,5,7}:{(39,1),(73,1),(85,1)}
        62:{2,6,7}:{(40,1),(41,1)}
        63:{3,5,6,7}:{(41,1),(42,1),(85,1),(86,1),(87,1),(133,1)}
        64:{3,4}:{(43,1),(45,1),(88,1)}
        65:{2,4,7}:{(43,1),(44,1),(90,1),(91,1),(206,1)}
        66:{2,3,6}:{(44,1),(47,1),(91,1),(95,1),(199,1)}
        67:{1,3,5}:{(45,1),(55,1),(88,1),(92,1),(99,1),(134,1)}
        68:{2,3,5}:{(45,1),(48,1),(56,1),(89,1),(92,1)}
        69:{3,5,7}:{(45,1),(46,1),(57,1),(90,1),(95,1),(138,1),(179,1),(194,1)}
        70:{1,2,4,6}:{(46,1),(47,1),(50,1),(91,1),(95,1),(96,1),(97,1),(101,1),(136,1),(139,1),(142,1),(144,1),(177,1),(199,1)}
        71:{2,4,5,7}:{(48,1),(49,1),(59,1),(94,1),(97,1),(109,1),(150,1),(172,1)}
        72:{3,4,6}:{(49,1),(50,1),(95,1),(97,1),(98,1),(142,1)}
        73:{1,5,6}:{(50,1),(61,1),(98,1)}
        74:{3,5}:{(51,1),(52,1),(99,1)}
        75:{2,4,5,7}:{(51,1),(53,1),(100,1),(101,1),(104,1),(147,1)}
        76:{1,4,6}:{(52,1),(55,1),(88,1),(99,1),(102,1),(144,1)}
        77:{3,4,7}:{(52,1),(53,1),(57,1),(100,1),(102,1)}
        78:{2,4,6,7}:{(53,1),(54,1),(91,1),(101,1),(103,1),(104,1),(180,1),(199,1)}
        79:{1,2,6}:{(55,1),(56,1),(92,1),(105,1)}
        80:{1,3,7}:{(55,1),(57,1),(102,1),(105,1)}
        81:{2,3,7}:{(56,1),(57,1),(59,1),(105,1)}
        82:{3,6,7}:{(57,1),(58,1),(95,1),(108,1),(179,1)}
        83:{1,2,5,7}:{(58,1),(61,1),(96,1),(104,1),(108,1),(109,1),(146,1)}
        84:{2,4,6,7}:{(59,1),(60,1),(62,1),(97,1),(107,1),(109,1),(150,1)}
        85:{3,5,7}:{(60,1),(61,1),(98,1),(109,1),(110,1)}
        86:{2,5,6,7}:{(62,1),(63,1),(109,1),(111,1)}
        87:{4,6,7}:{(63,1),(110,1)}
        88:{1,4}:{(64,1),(67,1)}
        89:{2,3,4}:{(64,1),(68,1),(112,1)}
        90:{3,4,7}:{(64,1),(65,1),(69,1),(113,1),(115,1),(131,1),(201,1)}
        91:{2,4,6}:{(65,1),(66,1),(115,1),(116,1)}
        92:{1,2,5}:{(67,1),(68,1),(79,1),(112,1)}
        93:{1,3,5,7}:{(67,1),(69,1),(80,1),(113,1),(117,1),(118,1),(123,1),(153,1),(155,1),(182,1)}
        94:{2,3,5,7}:{(68,1),(69,1),(71,1),(81,1),(114,1),(117,1),(119,1),(156,1),(190,1)}
        95:{3,6}:{(69,1),(70,1)}
        96:{1,2,5,6}:{(70,1),(73,1),(83,1),(116,1),(120,1),(121,1),(125,1),(155,1),(162,1)}
        97:{2,4,6}:{(71,1),(72,1),(119,1),(121,1)}
        98:{3,5,6}:{(72,1),(73,1),(85,1),(121,1),(122,1)}
        99:{1,5}:{(74,1),(76,1)}
       100:{3,5,7}:{(74,1),(75,1),(77,1),(123,1),(124,1)}
       101:{2,4,6}:{(75,1),(124,1),(125,1),(163,1)}
       102:{1,4,7}:{(76,1),(77,1),(80,1),(123,1)}
       103:{3,4,6,7}:{(77,1),(78,1),(82,1),(115,1),(124,1),(126,1),(127,1),(131,1),(163,1),(166,1),(189,1)}
       104:{2,5,7}:{(78,1),(116,1),(125,1),(127,1)}
       105:{1,2,7}:{(79,1),(80,1),(81,1)}
       106:{1,3,6,7}:{(80,1),(82,1),(118,1),(126,1),(128,1),(129,1),(189,1)}
       107:{2,3,6,7}:{(81,1),(82,1),(84,1),(119,1),(128,1),(130,1),(133,1)}
       108:{3,5,7}:{(82,1),(83,1),(120,1),(131,1)}
       109:{2,5,7}:{(84,1),(85,1),(121,1)}
       110:{4,5,7}:{(85,1),(87,1),(122,1),(131,1)}
       111:{2,4,6,7}:{(86,1),(87,1),(132,1),(133,1)}
       112:{1,2,4}:{(88,1),(89,1),(92,1),(134,1)}
       113:{1,4,7}:{(88,1),(90,1),(93,1),(136,1),(193,1)}
       114:{2,3,4,7}:{(89,1),(90,1),(94,1),(135,1),(137,1),(150,1),(179,1),(180,1)}
       115:{3,4,6}:{(90,1),(91,1),(95,1),(136,1),(138,1),(142,1)}
       116:{2,5}:{(91,1),(138,1)}
       117:{1,2,5,7}:{(92,1),(93,1),(94,1),(105,1),(135,1),(139,1),(170,1)}
       118:{1,3,6}:{(93,1),(95,1),(136,1),(139,1),(144,1)}
       119:{2,3,6}:{(94,1),(95,1),(97,1),(139,1),(199,1)}
       120:{3,5,6}:{(95,1),(96,1),(108,1),(138,1),(142,1)}
       121:{2,5,6}:{(97,1),(98,1),(109,1)}
       122:{4,5,6}:{(98,1),(110,1),(142,1)}
       123:{1,5,7}:{(99,1),(100,1),(102,1),(144,1)}
       124:{3,6}:{(100,1),(101,1),(144,1)}
       125:{2,5,6}:{(101,1),(104,1),(145,1),(199,1)}
       126:{1,4,6,7}:{(102,1),(103,1),(106,1),(136,1),(144,1),(146,1),(149,1),(177,1)}
       127:{3,5,7}:{(103,1),(104,1),(138,1),(145,1),(146,1),(147,1)}
       128:{1,2,6,7}:{(105,1),(106,1),(107,1),(139,1),(148,1),(152,1),(199,1)}
       129:{1,3,5,7}:{(106,1),(108,1),(140,1),(146,1),(148,1),(149,1),(178,1),(179,1)}
       130:{2,3,5,7}:{(107,1),(108,1),(109,1),(141,1),(148,1),(150,1),(151,1),(179,1)}
       131:{4,7}:{(108,1),(142,1)}
       132:{2,4,5,7}:{(109,1),(110,1),(111,1),(143,1),(150,1),(151,1)}
       133:{3,6,7}:{(111,1),(151,1),(152,1)}
       134:{1,3}:{(112,1)}
       135:{1,2,4,7}:{(112,1),(113,1),(114,1),(117,1),(153,1),(154,1)}
       136:{1,4,6}:{(113,1),(115,1),(118,1),(155,1)}
       137:{2,3,4,6}:{(114,1),(115,1),(119,1),(154,1),(156,1),(160,1),(186,1),(187,1),(201,1)}
       138:{3,5}:{(115,1),(116,1),(155,1),(157,1)}
       139:{1,2,6}:{(117,1),(118,1),(119,1)}
       140:{1,3,5,6}:{(118,1),(120,1),(129,1),(155,1),(158,1),(159,1),(162,1),(182,1),(184,1),(186,1),(189,1)}
       141:{2,3,5,6}:{(119,1),(120,1),(121,1),(130,1),(156,1),(158,1),(160,1),(161,1),(186,1)}
       142:{4,6}:{(120,1),(131,1),(157,1)}
       143:{2,4,5,6}:{(121,1),(122,1),(132,1),(160,1),(161,1)}
       144:{1,6}:{(123,1),(124,1)}
       145:{3,5,6}:{(124,1),(125,1),(127,1),(162,1),(163,1),(189,1)}
       146:{1,5,7}:{(126,1),(127,1),(155,1),(162,1)}
       147:{4,5,7}:{(127,1),(131,1),(157,1),(163,1)}
       148:{1,2,5,7}:{(128,1),(129,1),(130,1),(158,1),(165,1),(168,1),(190,1)}
       149:{1,4,7}:{(129,1),(131,1),(159,1),(166,1)}
       150:{2,4,7}:{(130,1),(131,1),(160,1),(167,1)}
       151:{3,5,7}:{(132,1),(133,1),(161,1),(167,1),(168,1)}
       152:{1,6,7}:{(133,1),(168,1)}
       153:{1,3,7}:{(134,1),(135,1),(169,1),(179,1)}
       154:{1,2,4,6}:{(135,1),(136,1),(137,1),(139,1),(169,1),(170,1),(193,1)}
       155:{1,5}:{(136,1),(138,1)}
       156:{2,3,5}:{(137,1),(138,1),(170,1),(172,1),(194,1),(195,1)}
       157:{4,5}:{(138,1),(142,1)}
       158:{1,2,5,6}:{(139,1),(140,1),(141,1),(148,1),(170,1),(173,1),(176,1),(195,1),(199,1)}
       159:{1,4,6}:{(140,1),(142,1),(149,1),(171,1),(174,1),(193,1)}
       160:{2,4,6}:{(141,1),(142,1),(150,1),(172,1),(175,1)}
       161:{3,5,6}:{(143,1),(151,1),(175,1),(176,1)}
       162:{1,5,6}:{(144,1),(145,1),(146,1),(177,1)}
       163:{4,6}:{(145,1),(147,1)}
       164:{1,4,5,7}:{(146,1),(147,1),(149,1),(171,1),(177,1),(178,1)}
       165:{1,2,4,7}:{(148,1),(149,1),(150,1),(173,1),(179,1),(180,1),(181,1),(200,1)}
       166:{3,4,7}:{(149,1),(174,1),(178,1),(179,1),(180,1)}
       167:{3,4,7}:{(150,1),(151,1),(175,1),(179,1),(181,1)}
       168:{1,5,7}:{(151,1),(152,1),(176,1),(181,1)}
       169:{1,3,6}:{(153,1),(154,1),(182,1),(186,1)}
       170:{1,2,5}:{(154,1),(155,1),(156,1),(182,1)}
       171:{1,4,5}:{(155,1),(157,1),(159,1),(184,1)}
       172:{2,4,5}:{(156,1),(157,1),(160,1),(185,1)}
       173:{1,2,4,6}:{(158,1),(159,1),(160,1),(165,1),(183,1),(186,1),(187,1),(188,1),(204,1)}
       174:{3,4,6}:{(159,1),(166,1),(184,1),(186,1),(187,1),(189,1),(201,1)}
       175:{3,4,6}:{(160,1),(161,1),(167,1),(185,1),(186,1),(188,1)}
       176:{1,5,6}:{(161,1),(168,1),(188,1)}
       177:{1,4,6}:{(162,1),(163,1),(164,1),(189,1)}
       178:{3,5,7}:{(164,1),(166,1),(184,1),(189,1),(190,1)}
       179:{3,7}:{(165,1),(186,1)}
       180:{2,4,7}:{(166,1),(187,1),(190,1),(192,1)}
       181:{1,4,7}:{(167,1),(168,1),(188,1),(191,1)}
       182:{1,3,5}:{(169,1),(170,1),(193,1),(194,1)}
       183:{1,2,4,5}:{(170,1),(171,1),(172,1),(173,1),(193,1),(194,1),(195,1),(196,1),(206,1),(207,1)}
       184:{3,5}:{(171,1),(174,1),(195,1)}
       185:{3,4,5}:{(172,1),(175,1),(194,1),(196,1)}
       186:{3,6}:{(173,1),(179,1),(194,1)}
       187:{2,4,6}:{(174,1),(180,1),(195,1),(198,1),(199,1),(206,1)}
       188:{1,4,6}:{(175,1),(176,1),(181,1),(196,1),(197,1)}
       189:{3,6}:{(177,1),(178,1),(199,1)}
       190:{2,5,7}:{(178,1),(180,1),(195,1),(199,1)}
       191:{1,3,7}:{(179,1),(181,1),(197,1),(200,1)}
       192:{2,3,7}:{(179,1),(180,1),(198,1),(200,1)}
       193:{1,4}:{(182,1),(201,1)}
       194:{3,5}:{(183,1),(186,1),(201,1)}
       195:{2,5}:{(184,1),(187,1)}
       196:{1,4,5}:{(185,1),(188,1),(202,1)}
       197:{1,3,6}:{(186,1),(188,1),(191,1),(202,1),(204,1)}
       198:{2,3,6}:{(186,1),(187,1),(192,1),(203,1),(204,1)}
       199:{2,6}:{(189,1),(190,1)}
       200:{1,2,7}:{(191,1),(192,1),(204,1)}
       201:{3,4}:{(193,1),(194,1),(206,1)}
       202:{1,3,5}:{(194,1),(196,1),(197,1),(205,1),(207,1)}
       203:{2,3,5}:{(194,1),(195,1),(198,1),(206,1),(207,1),(209,1)}
       204:{1,2,6}:{(197,1),(198,1),(200,1),(207,1)}
       205:{1,3,4}:{(201,1),(202,1),(208,1)}
       206:{2,4}:{(201,1),(203,1)}
       207:{1,2,5}:{(202,1),(203,1),(204,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{2,3}:{(208,1)}

 591 :   0:{2,4,6,7}:{(1,1),(2,1),(9,1),(10,1)}
         1:{3,6,7}:{(0,1),(3,1),(4,1),(16,1)}
         2:{2,5,7}:{(0,1),(4,1),(5,1),(31,1)}
         3:{1,6,7}:{(1,1),(7,1),(25,1)}
         4:{3,5,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(20,1)}
         5:{2,5,6}:{(2,1),(8,1),(10,1),(40,1),(43,1)}
         6:{2,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(21,1),(24,1),(43,1)}
         7:{1,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{3,5,6}:{(4,1),(5,1),(12,1),(14,1),(16,1),(29,1),(32,1)}
         9:{4,7}:{(4,1),(14,1)}
        10:{2,4,6}:{(5,1),(6,1),(14,1),(16,1)}
        11:{3,5,7}:{(6,1),(15,1),(16,1),(17,1),(32,1)}
        12:{1,5,6}:{(7,1),(8,1),(19,1),(25,1),(42,1)}
        13:{1,4,7}:{(7,1),(9,1),(19,1),(20,1)}
        14:{4,6}:{(8,1),(9,1),(21,1)}
        15:{3,4,7}:{(9,1),(11,1),(20,1),(22,1),(23,1),(24,1),(45,1)}
        16:{3,6}:{(10,1),(11,1),(25,1)}
        17:{1,5,7}:{(11,1),(23,1),(25,1),(42,1)}
        18:{2,3,5,7}:{(11,1),(24,1),(26,1),(27,1),(43,1),(45,1),(63,1)}
        19:{1,4,6}:{(12,1),(13,1),(14,1),(28,1),(29,1)}
        20:{3,7}:{(13,1),(29,1),(31,1)}
        21:{4,5}:{(14,1),(32,1),(73,1)}
        22:{3,4,6}:{(14,1),(15,1),(16,1),(29,1),(32,1),(33,1),(34,1),(48,1),(54,1),(73,1)}
        23:{1,4,7}:{(15,1),(17,1),(30,1),(33,1)}
        24:{2,4,7}:{(15,1),(18,1),(31,1),(34,1),(73,1)}
        25:{1,6}:{(16,1),(17,1)}
        26:{2,3,6}:{(16,1),(18,1),(34,1),(36,1),(54,1),(68,1)}
        27:{1,2,5,7}:{(17,1),(18,1),(35,1),(36,1),(37,1),(53,1),(72,1)}
        28:{1,4,5}:{(19,1),(21,1),(38,1),(42,1),(58,1)}
        29:{3,6}:{(19,1),(20,1),(38,1),(40,1)}
        30:{1,3,7}:{(20,1),(23,1),(39,1),(41,1),(45,1)}
        31:{2,7}:{(20,1),(40,1)}
        32:{3,5}:{(21,1),(22,1),(42,1),(43,1)}
        33:{1,4,6}:{(22,1),(23,1),(25,1),(39,1),(42,1),(58,1)}
        34:{2,4,6}:{(22,1),(24,1),(26,1),(40,1),(43,1),(59,1)}
        35:{1,2,4,7}:{(23,1),(24,1),(27,1),(41,1),(44,1),(45,1),(47,1),(62,1)}
        36:{1,2,6}:{(25,1),(26,1),(27,1),(46,1),(78,1),(82,1)}
        37:{1,3,5,7}:{(27,1),(45,1),(46,1),(47,1),(63,1),(65,1),(66,1)}
        38:{3,5}:{(28,1),(29,1),(48,1),(50,1)}
        39:{1,3,6}:{(29,1),(30,1),(33,1),(49,1),(51,1),(54,1)}
        40:{2,6}:{(29,1),(31,1),(50,1)}
        41:{1,2,7}:{(30,1),(31,1),(51,1),(52,1),(104,1)}
        42:{1,5}:{(32,1),(33,1)}
        43:{2,5}:{(32,1),(34,1)}
        44:{1,2,4,6}:{(33,1),(34,1),(35,1),(36,1),(51,1),(53,1),(54,1),(56,1),(69,1),(71,1),(73,1)}
        45:{3,7}:{(35,1),(54,1)}
        46:{1,3,6}:{(36,1),(37,1),(54,1),(56,1),(75,1),(87,1)}
        47:{1,4,7}:{(37,1),(55,1),(56,1),(73,1),(104,1)}
        48:{3,4}:{(38,1),(58,1),(59,1),(79,1)}
        49:{1,3,5}:{(38,1),(39,1),(42,1),(58,1),(60,1),(63,1),(79,1)}
        50:{2,5}:{(38,1),(40,1),(59,1)}
        51:{1,2,6}:{(39,1),(40,1),(41,1),(60,1),(61,1),(102,1)}
        52:{2,3,7}:{(41,1),(45,1),(61,1),(62,1),(103,1)}
        53:{1,2,5}:{(42,1),(43,1),(44,1),(63,1),(66,1),(81,1)}
        54:{3,6}:{(44,1),(45,1),(63,1),(79,1)}
        55:{3,4,7}:{(45,1),(47,1),(62,1),(64,1),(65,1),(98,1),(103,1)}
        56:{1,4,6}:{(46,1),(47,1),(64,1),(66,1),(94,1),(102,1)}
        57:{1,4,5,7}:{(47,1),(65,1),(66,1),(67,1),(83,1),(86,1),(98,1)}
        58:{1,4}:{(48,1),(49,1),(73,1)}
        59:{2,4}:{(48,1),(50,1),(68,1)}
        60:{1,2,5}:{(49,1),(50,1),(51,1),(69,1),(70,1),(99,1)}
        61:{2,3,6}:{(51,1),(52,1),(54,1),(70,1),(71,1),(100,1)}
        62:{2,4,7}:{(52,1),(55,1),(71,1),(72,1)}
        63:{3,5}:{(53,1),(54,1),(73,1)}
        64:{3,4,6}:{(54,1),(55,1),(56,1),(71,1),(73,1),(74,1),(75,1),(88,1),(92,1),(100,1)}
        65:{3,5,7}:{(55,1),(57,1),(72,1),(74,1),(75,1)}
        66:{1,5}:{(56,1),(74,1)}
        67:{1,4,6}:{(57,1),(75,1),(76,1),(92,1)}
        68:{2,3}:{(59,1),(78,1),(79,1)}
        69:{1,2,4}:{(58,1),(59,1),(60,1),(78,1),(79,1),(80,1),(94,1)}
        70:{2,3,5}:{(60,1),(61,1),(63,1),(79,1),(80,1),(81,1),(95,1)}
        71:{2,4,6}:{(61,1),(62,1),(64,1),(80,1),(81,1),(82,1)}
        72:{2,5,7}:{(62,1),(65,1),(81,1),(82,1)}
        73:{4}:{(63,1)}
        74:{3,5}:{(64,1),(66,1),(81,1),(83,1)}
        75:{3,6}:{(65,1),(67,1),(82,1)}
        76:{1,5,6}:{(66,1),(67,1),(84,1),(86,1),(102,1)}
        77:{1,4,6,7}:{(67,1),(85,1),(86,1),(98,1)}
        78:{1,2}:{(68,1),(87,1)}
        79:{3}:{(69,1)}
        80:{2,4}:{(70,1),(73,1),(88,1)}
        81:{2,5}:{(71,1),(74,1)}
        82:{2,6}:{(72,1),(75,1)}
        83:{4,5}:{(73,1),(74,1),(92,1)}
        84:{3,5,6}:{(74,1),(75,1),(76,1),(90,1),(92,1),(93,1),(100,1)}
        85:{3,6,7}:{(75,1),(77,1),(91,1),(93,1)}
        86:{1,5,7}:{(76,1),(77,1),(93,1),(104,1)}
        87:{1,3}:{(78,1),(79,1),(94,1)}
        88:{3,4}:{(79,1),(80,1),(94,1),(95,1)}
        89:{2,4,5}:{(80,1),(81,1),(83,1),(95,1),(96,1)}
        90:{2,5,6}:{(81,1),(82,1),(84,1),(96,1),(97,1)}
        91:{2,6,7}:{(82,1),(85,1),(97,1)}
        92:{4,6}:{(83,1),(84,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(86,1),(97,1),(98,1),(103,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{3,5}:{(88,1),(89,1),(99,1),(100,1)}
        96:{2,4,6}:{(89,1),(90,1),(92,1),(100,1),(101,1)}
        97:{2,5,7}:{(90,1),(91,1),(93,1),(101,1)}
        98:{4,7}:{(92,1),(93,1)}
        99:{1,5}:{(94,1),(95,1),(102,1)}
       100:{3,6}:{(95,1),(96,1),(102,1),(103,1)}
       101:{2,4,7}:{(96,1),(97,1),(98,1),(103,1)}
       102:{1,6}:{(99,1),(100,1),(104,1)}
       103:{3,7}:{(100,1),(101,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 592 :   0:{3,4,6,7}:{(3,1),(4,1),(5,1),(25,1),(33,1),(39,1),(68,1),(71,1),(77,1),(79,1),(126,1)}
         1:{1,3,6,7}:{(3,1),(6,1),(8,1),(25,1),(77,1),(120,1),(130,1)}
         2:{1,3,5,6}:{(7,1),(8,1),(9,1),(28,1),(30,1),(38,1),(70,1),(75,1),(77,1),(130,1),(160,1),(172,1)}
         3:{1,4,6,7}:{(0,1),(1,1),(12,1),(21,1),(50,1),(96,1),(108,1),(146,1)}
         4:{2,4,6,7}:{(0,1),(10,1),(14,1),(44,1),(53,1),(62,1),(107,1),(147,1)}
         5:{3,5,7}:{(0,1),(12,1),(14,1),(15,1),(16,1),(145,1)}
         6:{1,2,6,7}:{(1,1),(17,1),(19,1),(107,1),(143,1),(150,1),(151,1)}
         7:{1,2,5,6}:{(2,1),(18,1),(19,1),(20,1),(52,1),(106,1),(107,1),(111,1),(150,1),(151,1),(169,1)}
         8:{1,3,5,7}:{(1,1),(2,1),(12,1),(19,1),(21,1),(46,1),(51,1),(59,1)}
         9:{1,4,6}:{(2,1),(13,1),(21,1),(22,1),(99,1),(101,1),(174,1)}
        10:{2,3,6,7}:{(4,1),(23,1),(24,1),(25,1),(79,1),(87,1),(131,1)}
        11:{1,2,4,6,7}:{(3,1),(4,1),(6,1),(23,1),(25,1),(26,1),(34,1),(37,1),(63,1),(66,1),(71,1),(73,1),(162,1)}
        12:{1,5,7}:{(3,1),(5,1),(28,1),(160,1)}
        13:{1,4,5}:{(9,1),(30,1),(125,1),(160,1)}
        14:{2,5,7}:{(4,1),(5,1),(31,1),(161,1)}
        15:{3,5,6}:{(5,1),(28,1),(31,1),(33,1),(77,1),(79,1)}
        16:{4,5,7}:{(5,1),(33,1),(71,1),(125,1)}
        17:{2,3,6,7}:{(6,1),(25,1),(34,1),(35,1),(121,1),(131,1),(133,1)}
        18:{2,3,5,6}:{(7,1),(35,1),(36,1),(38,1),(70,1),(76,1),(81,1),(83,1),(131,1),(133,1),(161,1),(172,1)}
        19:{1,2,5,7}:{(6,1),(7,1),(8,1),(35,1),(37,1),(78,1),(134,1)}
        20:{1,2,4,6}:{(7,1),(9,1),(27,1),(36,1),(37,1),(38,1),(40,1),(85,1),(88,1),(129,1)}
        21:{1,4,7}:{(8,1),(9,1),(39,1),(71,1)}
        22:{3,4,6}:{(9,1),(30,1),(38,1),(39,1),(40,1),(72,1),(77,1)}
        23:{1,2,6,7}:{(10,1),(41,1),(42,1),(108,1),(113,1),(150,1),(164,1)}
        24:{2,3,5,7}:{(10,1),(14,1),(42,1),(43,1),(44,1),(46,1),(54,1),(93,1)}
        25:{3,6,7}:{(11,1),(46,1),(59,1),(93,1),(103,1),(170,1)}
        26:{1,2,5,7}:{(11,1),(12,1),(14,1),(46,1),(47,1),(55,1),(89,1),(169,1)}
        27:{1,2,4,5}:{(13,1),(20,1),(49,1),(52,1),(56,1),(101,1),(102,1),(106,1),(111,1),(169,1),(174,1)}
        28:{1,5,6}:{(12,1),(15,1),(50,1),(108,1)}
        29:{1,4,5,7}:{(12,1),(13,1),(16,1),(21,1),(50,1),(51,1)}
        30:{3,5}:{(13,1),(22,1),(52,1)}
        31:{2,5,6}:{(14,1),(15,1),(53,1),(107,1)}
        32:{2,4,5,7}:{(14,1),(16,1),(44,1),(53,1),(54,1),(94,1)}
        33:{4,6}:{(15,1),(16,1)}
        34:{2,4,6,7}:{(17,1),(45,1),(55,1),(57,1),(109,1),(139,1),(147,1),(164,1)}
        35:{2,3,5,7}:{(17,1),(18,1),(19,1),(46,1),(55,1),(57,1),(59,1),(110,1)}
        36:{2,4,6}:{(18,1),(56,1),(57,1),(58,1),(99,1),(102,1),(174,1)}
        37:{1,2,4,7}:{(19,1),(20,1),(21,1),(57,1),(59,1),(62,1),(112,1),(113,1)}
        38:{3,6}:{(20,1),(49,1),(59,1),(149,1)}
        39:{3,4,7}:{(21,1),(22,1),(51,1),(59,1),(62,1)}
        40:{2,4,6}:{(22,1),(52,1),(61,1),(62,1),(102,1),(107,1)}
        41:{1,3,6,7}:{(23,1),(25,1),(63,1),(64,1),(86,1),(130,1),(152,1)}
        42:{1,2,5,7}:{(23,1),(24,1),(64,1),(65,1),(66,1),(80,1),(153,1)}
        43:{2,3,5,6}:{(24,1),(31,1),(65,1),(67,1),(70,1),(79,1),(119,1),(122,1),(131,1),(158,1),(161,1),(172,1)}
        44:{2,4,7}:{(24,1),(67,1),(68,1),(71,1)}
        45:{3,4,6,7}:{(25,1),(34,1),(63,1),(69,1),(71,1),(84,1),(117,1),(124,1),(126,1),(133,1),(152,1)}
        46:{3,5,7}:{(25,1),(26,1),(70,1),(71,1),(172,1)}
        47:{1,2,5,6}:{(26,1),(28,1),(31,1),(70,1),(73,1),(81,1),(114,1),(160,1),(161,1)}
        48:{1,2,4,5,7}:{(26,1),(27,1),(29,1),(32,1),(37,1),(66,1),(71,1),(73,1),(74,1),(78,1),(80,1),(82,1),(115,1),(118,1),(125,1),(127,1),(128,1),(132,1),(134,1),(153,1),(160,1),(161,1)}
        49:{3,5}:{(27,1),(38,1),(72,1)}
        50:{1,4,6}:{(28,1),(29,1),(33,1),(77,1)}
        51:{3,5,7}:{(29,1),(30,1),(39,1),(77,1),(78,1)}
        52:{2,5}:{(30,1),(40,1)}
        53:{2,4,6}:{(31,1),(32,1),(33,1),(79,1)}
        54:{3,5,7}:{(32,1),(68,1),(79,1),(80,1),(122,1)}
        55:{2,5,7}:{(34,1),(69,1),(81,1),(161,1)}
        56:{2,4,5}:{(36,1),(83,1),(125,1),(161,1)}
        57:{2,4,7}:{(35,1),(36,1),(71,1),(84,1)}
        58:{3,4,6}:{(36,1),(38,1),(72,1),(83,1),(84,1),(85,1),(133,1)}
        59:{3,7}:{(37,1),(38,1)}
        60:{1,3,6}:{(38,1),(75,1),(85,1),(86,1),(88,1)}
        61:{2,3,6}:{(38,1),(40,1),(76,1),(87,1),(88,1)}
        62:{2,4,7}:{(39,1),(40,1),(78,1),(87,1)}
        63:{1,4,6,7}:{(41,1),(45,1),(89,1),(91,1),(112,1),(135,1),(146,1),(151,1)}
        64:{1,3,5,7}:{(41,1),(42,1),(46,1),(89,1),(90,1),(91,1),(93,1),(136,1)}
        65:{1,2,5,6}:{(42,1),(43,1),(90,1),(92,1),(108,1),(144,1),(150,1),(164,1),(165,1),(168,1),(169,1)}
        66:{1,2,4,7}:{(42,1),(44,1),(91,1),(92,1),(93,1),(96,1),(139,1),(143,1)}
        67:{2,4,6}:{(43,1),(44,1),(94,1),(95,1),(99,1),(167,1),(174,1)}
        68:{3,4,7}:{(44,1),(54,1),(93,1),(95,1),(96,1)}
        69:{3,5,7}:{(45,1),(55,1),(89,1),(97,1),(98,1),(145,1)}
        70:{3,5,6}:{(46,1),(47,1),(99,1),(103,1),(145,1)}
        71:{4,7}:{(46,1),(99,1),(174,1)}
        72:{3,4}:{(49,1),(101,1),(102,1),(149,1),(174,1)}
        73:{1,2,4,6}:{(47,1),(48,1),(50,1),(53,1),(99,1),(103,1),(107,1),(108,1),(109,1),(135,1),(146,1),(147,1),(150,1),(151,1),(164,1)}
        74:{3,5,7}:{(48,1),(49,1),(59,1),(93,1),(100,1),(103,1),(140,1),(145,1)}
        75:{1,3,5}:{(49,1),(60,1),(101,1),(106,1),(111,1),(149,1)}
        76:{2,3,5}:{(49,1),(52,1),(61,1),(102,1),(106,1),(149,1)}
        77:{3,6}:{(50,1),(51,1),(107,1)}
        78:{2,5,7}:{(51,1),(52,1),(62,1),(107,1)}
        79:{3,6}:{(53,1),(54,1),(108,1)}
        80:{1,5,7}:{(54,1),(96,1),(108,1),(144,1)}
        81:{2,5,6}:{(55,1),(97,1),(109,1),(164,1)}
        82:{2,4,5,7}:{(55,1),(56,1),(57,1),(98,1),(109,1),(110,1)}
        83:{3,5}:{(56,1),(58,1),(111,1)}
        84:{3,4,7}:{(57,1),(58,1),(59,1),(110,1),(112,1)}
        85:{1,4,6}:{(58,1),(60,1),(101,1),(111,1),(112,1),(151,1)}
        86:{1,3,7}:{(59,1),(60,1),(112,1),(113,1)}
        87:{2,3,7}:{(59,1),(61,1),(62,1),(113,1)}
        88:{1,2,6}:{(60,1),(61,1),(106,1),(113,1)}
        89:{1,5,7}:{(63,1),(69,1),(114,1),(160,1)}
        90:{1,3,5,6}:{(64,1),(65,1),(70,1),(114,1),(116,1),(119,1),(130,1),(152,1),(154,1),(157,1),(160,1),(172,1)}
        91:{1,4,7}:{(64,1),(71,1),(116,1),(117,1)}
        92:{1,2,4,6}:{(65,1),(66,1),(67,1),(116,1),(118,1),(119,1),(123,1),(155,1),(159,1),(171,1)}
        93:{3,7}:{(66,1),(119,1)}
        94:{2,4,5}:{(67,1),(122,1),(125,1),(161,1)}
        95:{3,4,6}:{(67,1),(68,1),(79,1),(119,1),(122,1),(123,1),(156,1)}
        96:{1,4,7}:{(68,1),(80,1),(120,1),(123,1)}
        97:{3,5,6}:{(69,1),(81,1),(114,1),(124,1),(133,1),(152,1)}
        98:{4,5,7}:{(69,1),(71,1),(124,1),(125,1)}
        99:{4,6}:{(70,1),(71,1),(125,1)}
       100:{3,4,7}:{(71,1),(72,1),(74,1),(126,1),(127,1),(128,1),(156,1),(163,1)}
       101:{1,4}:{(72,1),(75,1)}
       102:{2,4}:{(72,1),(76,1)}
       103:{3,6}:{(73,1),(74,1)}
       104:{1,3,5,7}:{(74,1),(75,1),(80,1),(86,1),(120,1),(127,1),(130,1),(132,1),(134,1),(157,1),(160,1),(163,1),(172,1)}
       105:{2,3,5,7}:{(74,1),(76,1),(78,1),(87,1),(121,1),(128,1),(131,1),(132,1),(153,1),(158,1),(161,1),(163,1),(172,1)}
       106:{1,2,5}:{(75,1),(76,1),(88,1),(129,1)}
       107:{2,6}:{(77,1),(78,1)}
       108:{1,6}:{(79,1),(80,1)}
       109:{2,4,6}:{(81,1),(82,1),(124,1),(133,1)}
       110:{3,5,7}:{(82,1),(83,1),(84,1),(133,1),(134,1)}
       111:{1,5}:{(83,1),(85,1)}
       112:{1,4,7}:{(84,1),(85,1),(86,1),(134,1)}
       113:{1,2,7}:{(86,1),(87,1),(88,1)}
       114:{1,5,6}:{(89,1),(97,1),(135,1),(151,1)}
       115:{1,4,5,7}:{(89,1),(91,1),(98,1),(135,1),(136,1),(137,1)}
       116:{1,4,6}:{(90,1),(91,1),(99,1),(137,1),(138,1),(166,1),(174,1)}
       117:{3,4,7}:{(91,1),(93,1),(136,1),(138,1),(139,1)}
       118:{1,2,4,5}:{(92,1),(94,1),(137,1),(140,1),(144,1),(165,1),(166,1),(167,1),(168,1),(169,1),(174,1)}
       119:{3,6}:{(92,1),(93,1),(140,1),(173,1)}
       120:{1,3,7}:{(93,1),(96,1),(141,1),(143,1)}
       121:{2,3,7}:{(93,1),(139,1),(142,1),(143,1)}
       122:{3,5}:{(94,1),(95,1),(144,1)}
       123:{1,4,6}:{(95,1),(96,1),(108,1),(141,1),(144,1),(166,1)}
       124:{4,6}:{(97,1),(98,1)}
       125:{4,5}:{(99,1),(145,1),(174,1)}
       126:{3,4,6}:{(99,1),(100,1),(103,1),(145,1),(146,1),(147,1),(170,1),(174,1)}
       127:{1,4,7}:{(100,1),(101,1),(104,1),(146,1),(166,1),(174,1)}
       128:{2,4,7}:{(100,1),(102,1),(105,1),(147,1),(167,1),(174,1)}
       129:{1,2,4}:{(101,1),(102,1),(106,1),(149,1)}
       130:{1,3,6}:{(103,1),(104,1),(108,1),(146,1),(150,1),(151,1),(170,1)}
       131:{2,3,6}:{(103,1),(105,1),(107,1),(147,1),(150,1),(164,1),(170,1)}
       132:{1,2,5,7}:{(104,1),(105,1),(106,1),(113,1),(143,1),(148,1),(150,1),(168,1),(169,1)}
       133:{3,6}:{(109,1),(110,1),(151,1)}
       134:{1,5,7}:{(110,1),(111,1),(112,1),(151,1)}
       135:{1,4,6}:{(114,1),(115,1),(124,1),(152,1)}
       136:{3,5,7}:{(115,1),(117,1),(152,1),(153,1),(154,1)}
       137:{1,4,5}:{(116,1),(125,1),(154,1),(160,1)}
       138:{3,4,6}:{(116,1),(117,1),(119,1),(152,1),(154,1),(155,1),(156,1)}
       139:{2,4,7}:{(117,1),(121,1),(153,1),(155,1)}
       140:{3,5}:{(118,1),(119,1),(156,1)}
       141:{1,3,6}:{(119,1),(120,1),(123,1),(157,1),(159,1)}
       142:{2,3,6}:{(119,1),(121,1),(155,1),(158,1),(159,1)}
       143:{1,2,7}:{(120,1),(121,1),(159,1)}
       144:{1,5}:{(122,1),(123,1)}
       145:{3,5}:{(125,1),(126,1),(160,1),(161,1)}
       146:{1,4,6}:{(126,1),(127,1),(130,1),(160,1)}
       147:{2,4,6}:{(126,1),(128,1),(131,1),(161,1)}
       148:{1,2,4,7}:{(127,1),(128,1),(129,1),(132,1),(162,1),(163,1),(171,1)}
       149:{3}:{(129,1)}
       150:{1,2,6}:{(130,1),(131,1),(132,1)}
       151:{1,6}:{(133,1),(134,1)}
       152:{3,6}:{(135,1),(136,1),(164,1)}
       153:{2,5,7}:{(136,1),(139,1),(164,1),(165,1)}
       154:{3,5}:{(137,1),(138,1),(165,1)}
       155:{2,4,6}:{(138,1),(139,1),(142,1),(164,1),(165,1),(167,1)}
       156:{3,4}:{(140,1),(166,1),(167,1),(173,1),(174,1)}
       157:{1,3,5}:{(140,1),(141,1),(144,1),(166,1),(168,1),(173,1)}
       158:{2,3,5}:{(140,1),(142,1),(165,1),(167,1),(168,1),(173,1)}
       159:{1,2,6}:{(141,1),(142,1),(143,1),(168,1)}
       160:{1,5}:{(145,1),(146,1)}
       161:{2,5}:{(145,1),(147,1)}
       162:{1,2,4,6}:{(146,1),(147,1),(148,1),(150,1),(169,1),(170,1),(174,1)}
       163:{3,7}:{(148,1),(149,1),(170,1),(173,1)}
       164:{2,6}:{(152,1),(153,1)}
       165:{2,5}:{(154,1),(155,1)}
       166:{1,4}:{(156,1),(157,1)}
       167:{2,4}:{(156,1),(158,1)}
       168:{1,2,5}:{(157,1),(158,1),(159,1),(171,1)}
       169:{1,2,5}:{(160,1),(161,1),(162,1),(172,1)}
       170:{3,6}:{(162,1),(163,1),(172,1)}
       171:{1,2,4}:{(166,1),(167,1),(168,1),(173,1)}
       172:{3,5}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{4}:{(172,1)}

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

 594 :   0:{2,3,4,6}:{(3,1),(4,1),(5,1),(7,1),(31,1),(34,1),(64,1),(76,1),(115,1)}
         1:{2,3,5,6}:{(4,1),(6,1),(7,1),(8,1),(9,1),(31,1),(34,1),(73,1),(120,1)}
         2:{2,4,5,6}:{(7,1),(9,1),(10,1),(73,1),(122,1)}
         3:{1,2,4,6}:{(0,1),(11,1),(12,1),(13,1),(43,1),(47,1),(91,1)}
         4:{2,3,5}:{(0,1),(12,1),(14,1),(45,1),(99,1),(138,1)}
         5:{2,3,4,7}:{(0,1),(13,1),(15,1),(20,1),(57,1),(90,1),(102,1),(206,1)}
         6:{1,2,5,6}:{(1,1),(12,1),(16,1),(17,1),(18,1),(22,1),(47,1),(99,1),(144,1)}
         7:{2,4,6}:{(1,1),(14,1),(19,1),(20,1),(142,1)}
         8:{2,3,5,7}:{(1,1),(18,1),(20,1),(21,1),(23,1),(57,1),(61,1),(108,1)}
         9:{3,5,6}:{(2,1),(19,1),(22,1),(23,1)}
        10:{2,4,5,7}:{(2,1),(20,1),(23,1),(24,1),(61,1),(110,1)}
        11:{1,3,6}:{(3,1),(25,1),(26,1),(34,1)}
        12:{1,2,5}:{(3,1),(4,1),(25,1),(116,1)}
        13:{1,2,4,7}:{(3,1),(5,1),(26,1),(28,1),(65,1),(208,1)}
        14:{2,4,5}:{(4,1),(7,1),(29,1),(157,1)}
        15:{2,3,5,7}:{(4,1),(5,1),(28,1),(30,1),(31,1),(69,1),(123,1),(192,1),(203,1)}
        16:{1,3,5,6}:{(6,1),(25,1),(32,1),(33,1),(34,1),(66,1),(74,1),(116,1),(120,1),(124,1),(125,1)}
        17:{1,2,4,6}:{(6,1),(7,1),(27,1),(32,1),(34,1),(35,1),(37,1),(76,1),(79,1)}
        18:{1,2,5,7}:{(6,1),(8,1),(33,1),(35,1),(36,1),(40,1),(123,1)}
        19:{3,4,6}:{(7,1),(9,1),(29,1),(34,1),(37,1),(38,1)}
        20:{2,4,7}:{(7,1),(8,1),(38,1),(131,1)}
        21:{2,3,6,7}:{(8,1),(31,1),(36,1),(39,1),(41,1),(82,1),(192,1)}
        22:{1,5,6}:{(9,1),(37,1),(40,1)}
        23:{3,5,7}:{(9,1),(10,1),(38,1),(40,1),(41,1)}
        24:{2,4,6,7}:{(10,1),(41,1),(42,1),(87,1)}
        25:{1,3,5}:{(11,1),(12,1),(43,1),(45,1)}
        26:{1,3,7}:{(11,1),(13,1),(57,1),(209,1)}
        27:{1,2,4,5}:{(12,1),(14,1),(17,1),(43,1),(45,1),(48,1),(51,1),(89,1),(92,1),(99,1)}
        28:{1,2,5,7}:{(12,1),(13,1),(15,1),(44,1),(47,1),(200,1),(207,1)}
        29:{3,4,5}:{(14,1),(19,1),(45,1),(48,1)}
        30:{2,4,5,7}:{(14,1),(15,1),(20,1),(49,1),(50,1),(61,1),(180,1),(195,1)}
        31:{2,3,6}:{(15,1),(47,1),(50,1),(95,1),(144,1)}
        32:{1,4,6}:{(16,1),(43,1),(51,1),(52,1),(53,1),(142,1)}
        33:{1,3,5,7}:{(16,1),(18,1),(53,1),(54,1),(57,1),(100,1),(104,1),(108,1)}
        34:{3,6}:{(17,1),(45,1),(57,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(20,1),(53,1),(57,1),(59,1),(102,1),(105,1)}
        36:{1,2,6,7}:{(18,1),(21,1),(47,1),(54,1),(62,1),(144,1),(200,1)}
        37:{1,4,6}:{(19,1),(22,1),(48,1),(55,1),(59,1)}
        38:{3,4,7}:{(19,1),(20,1),(23,1),(57,1),(59,1)}
        39:{2,4,6,7}:{(20,1),(21,1),(50,1),(60,1),(61,1),(152,1),(180,1)}
        40:{1,5,7}:{(22,1),(23,1),(59,1),(62,1)}
        41:{3,6,7}:{(23,1),(24,1),(62,1)}
        42:{2,5,6,7}:{(24,1),(61,1),(63,1),(152,1)}
        43:{1,4}:{(25,1),(64,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(28,1),(65,1),(66,1),(69,1),(116,1),(190,1),(191,1),(202,1)}
        45:{3,5}:{(27,1),(34,1),(64,1)}
        46:{1,2,4,5,7}:{(27,1),(28,1),(30,1),(35,1),(65,1),(69,1),(70,1),(71,1),(75,1),(83,1),(114,1),(116,1),(117,1),(123,1),(131,1),(156,1),(157,1),(164,1),(165,1),(183,1),(190,1)}
        47:{1,2,6}:{(28,1),(31,1),(66,1)}
        48:{1,4,5}:{(29,1),(37,1),(67,1)}
        49:{3,4,5,7}:{(29,1),(30,1),(38,1),(69,1),(71,1),(72,1),(85,1),(131,1),(157,1),(166,1),(184,1)}
        50:{2,4,6}:{(30,1),(31,1),(72,1),(73,1)}
        51:{1,4,5}:{(32,1),(74,1),(116,1),(157,1)}
        52:{3,4,6}:{(32,1),(34,1),(64,1),(74,1),(76,1),(77,1),(124,1)}
        53:{1,4,7}:{(32,1),(33,1),(77,1),(131,1)}
        54:{1,3,6,7}:{(33,1),(36,1),(66,1),(78,1),(82,1),(124,1),(191,1)}
        55:{1,3,6}:{(34,1),(37,1),(67,1),(79,1),(80,1)}
        56:{2,3,6}:{(34,1),(68,1),(76,1),(79,1),(81,1)}
        57:{3,7}:{(34,1),(35,1)}
        58:{1,2,4,6,7}:{(35,1),(36,1),(39,1),(70,1),(78,1),(82,1),(83,1),(84,1),(126,1),(128,1),(131,1),(165,1)}
        59:{1,4,7}:{(37,1),(38,1),(40,1),(80,1)}
        60:{3,4,6,7}:{(38,1),(39,1),(41,1),(72,1),(82,1),(84,1),(85,1),(87,1),(131,1),(133,1),(166,1)}
        61:{2,5,7}:{(39,1),(73,1),(85,1)}
        62:{1,6,7}:{(40,1),(41,1)}
        63:{3,5,6,7}:{(41,1),(42,1),(85,1),(86,1),(87,1),(133,1)}
        64:{3,4}:{(43,1),(45,1),(89,1)}
        65:{1,4,7}:{(43,1),(44,1),(90,1),(91,1),(205,1)}
        66:{1,3,6}:{(44,1),(47,1),(91,1),(95,1),(199,1)}
        67:{1,3,5}:{(45,1),(48,1),(55,1),(88,1),(92,1)}
        68:{2,3,5}:{(45,1),(56,1),(89,1),(92,1),(99,1),(134,1)}
        69:{3,5,7}:{(45,1),(46,1),(57,1),(90,1),(95,1),(138,1),(179,1),(194,1)}
        70:{1,2,4,6}:{(46,1),(47,1),(50,1),(91,1),(95,1),(96,1),(97,1),(101,1),(137,1),(139,1),(142,1),(144,1),(177,1),(199,1)}
        71:{1,4,5,7}:{(48,1),(49,1),(59,1),(93,1),(97,1),(109,1),(149,1),(171,1)}
        72:{3,4,6}:{(49,1),(50,1),(95,1),(97,1),(98,1),(142,1)}
        73:{2,5,6}:{(50,1),(61,1),(98,1)}
        74:{3,5}:{(51,1),(52,1),(99,1)}
        75:{1,4,5,7}:{(51,1),(53,1),(100,1),(101,1),(104,1),(147,1)}
        76:{2,4,6}:{(52,1),(56,1),(89,1),(99,1),(102,1),(144,1)}
        77:{3,4,7}:{(52,1),(53,1),(57,1),(100,1),(102,1)}
        78:{1,4,6,7}:{(53,1),(54,1),(91,1),(101,1),(103,1),(104,1),(181,1),(199,1)}
        79:{1,2,6}:{(55,1),(56,1),(92,1),(105,1)}
        80:{1,3,7}:{(55,1),(57,1),(59,1),(105,1)}
        81:{2,3,7}:{(56,1),(57,1),(102,1),(105,1)}
        82:{3,6,7}:{(57,1),(58,1),(95,1),(108,1),(179,1)}
        83:{1,2,5,7}:{(58,1),(61,1),(96,1),(104,1),(108,1),(109,1),(146,1)}
        84:{1,4,6,7}:{(59,1),(60,1),(62,1),(97,1),(106,1),(109,1),(149,1)}
        85:{3,5,7}:{(60,1),(61,1),(98,1),(109,1),(110,1)}
        86:{1,5,6,7}:{(62,1),(63,1),(109,1),(111,1)}
        87:{4,6,7}:{(63,1),(110,1)}
        88:{1,3,4}:{(64,1),(67,1),(112,1)}
        89:{2,4}:{(64,1),(68,1)}
        90:{3,4,7}:{(64,1),(65,1),(69,1),(114,1),(115,1),(131,1),(201,1)}
        91:{1,4,6}:{(65,1),(66,1),(115,1),(116,1)}
        92:{1,2,5}:{(67,1),(68,1),(79,1),(112,1)}
        93:{1,3,5,7}:{(67,1),(69,1),(71,1),(80,1),(113,1),(117,1),(118,1),(155,1),(190,1)}
        94:{2,3,5,7}:{(68,1),(69,1),(81,1),(114,1),(117,1),(119,1),(123,1),(153,1),(156,1),(182,1)}
        95:{3,6}:{(69,1),(70,1)}
        96:{1,2,5,6}:{(70,1),(73,1),(83,1),(116,1),(120,1),(121,1),(125,1),(156,1),(162,1)}
        97:{1,4,6}:{(71,1),(72,1),(118,1),(121,1)}
        98:{3,5,6}:{(72,1),(73,1),(85,1),(121,1),(122,1)}
        99:{2,5}:{(74,1),(76,1)}
       100:{3,5,7}:{(74,1),(75,1),(77,1),(123,1),(124,1)}
       101:{1,4,6}:{(75,1),(124,1),(125,1),(163,1)}
       102:{2,4,7}:{(76,1),(77,1),(81,1),(123,1)}
       103:{3,4,6,7}:{(77,1),(78,1),(82,1),(115,1),(124,1),(126,1),(127,1),(131,1),(163,1),(167,1),(189,1)}
       104:{1,5,7}:{(78,1),(116,1),(125,1),(127,1)}
       105:{1,2,7}:{(79,1),(80,1),(81,1)}
       106:{1,3,6,7}:{(80,1),(82,1),(84,1),(118,1),(128,1),(129,1),(133,1)}
       107:{2,3,6,7}:{(81,1),(82,1),(119,1),(126,1),(128,1),(130,1),(189,1)}
       108:{3,5,7}:{(82,1),(83,1),(120,1),(131,1)}
       109:{1,5,7}:{(84,1),(85,1),(121,1)}
       110:{4,5,7}:{(85,1),(87,1),(122,1),(131,1)}
       111:{1,4,6,7}:{(86,1),(87,1),(132,1),(133,1)}
       112:{1,2,4}:{(88,1),(89,1),(92,1),(134,1)}
       113:{1,3,4,7}:{(88,1),(90,1),(93,1),(135,1),(136,1),(149,1),(179,1),(181,1)}
       114:{2,4,7}:{(89,1),(90,1),(94,1),(137,1),(193,1)}
       115:{3,4,6}:{(90,1),(91,1),(95,1),(137,1),(138,1),(142,1)}
       116:{1,5}:{(91,1),(138,1)}
       117:{1,2,5,7}:{(92,1),(93,1),(94,1),(105,1),(135,1),(139,1),(170,1)}
       118:{1,3,6}:{(93,1),(95,1),(97,1),(139,1),(199,1)}
       119:{2,3,6}:{(94,1),(95,1),(137,1),(139,1),(144,1)}
       120:{3,5,6}:{(95,1),(96,1),(108,1),(138,1),(142,1)}
       121:{1,5,6}:{(97,1),(98,1),(109,1)}
       122:{4,5,6}:{(98,1),(110,1),(142,1)}
       123:{2,5,7}:{(99,1),(100,1),(102,1),(144,1)}
       124:{3,6}:{(100,1),(101,1),(144,1)}
       125:{1,5,6}:{(101,1),(104,1),(145,1),(199,1)}
       126:{2,4,6,7}:{(102,1),(103,1),(107,1),(137,1),(144,1),(146,1),(150,1),(177,1)}
       127:{3,5,7}:{(103,1),(104,1),(138,1),(145,1),(146,1),(147,1)}
       128:{1,2,6,7}:{(105,1),(106,1),(107,1),(139,1),(148,1),(152,1),(199,1)}
       129:{1,3,5,7}:{(106,1),(108,1),(109,1),(140,1),(148,1),(149,1),(151,1),(179,1)}
       130:{2,3,5,7}:{(107,1),(108,1),(141,1),(146,1),(148,1),(150,1),(178,1),(179,1)}
       131:{4,7}:{(108,1),(142,1)}
       132:{1,4,5,7}:{(109,1),(110,1),(111,1),(143,1),(149,1),(151,1)}
       133:{3,6,7}:{(111,1),(151,1),(152,1)}
       134:{2,3}:{(112,1)}
       135:{1,2,4,7}:{(112,1),(113,1),(114,1),(117,1),(153,1),(154,1)}
       136:{1,3,4,6}:{(113,1),(115,1),(118,1),(154,1),(155,1),(159,1),(186,1),(188,1),(201,1)}
       137:{2,4,6}:{(114,1),(115,1),(119,1),(156,1)}
       138:{3,5}:{(115,1),(116,1),(156,1),(157,1)}
       139:{1,2,6}:{(117,1),(118,1),(119,1)}
       140:{1,3,5,6}:{(118,1),(120,1),(121,1),(129,1),(155,1),(158,1),(159,1),(161,1),(186,1)}
       141:{2,3,5,6}:{(119,1),(120,1),(130,1),(156,1),(158,1),(160,1),(162,1),(182,1),(185,1),(186,1),(189,1)}
       142:{4,6}:{(120,1),(131,1),(157,1)}
       143:{1,4,5,6}:{(121,1),(122,1),(132,1),(159,1),(161,1)}
       144:{2,6}:{(123,1),(124,1)}
       145:{3,5,6}:{(124,1),(125,1),(127,1),(162,1),(163,1),(189,1)}
       146:{2,5,7}:{(126,1),(127,1),(156,1),(162,1)}
       147:{4,5,7}:{(127,1),(131,1),(157,1),(163,1)}
       148:{1,2,5,7}:{(128,1),(129,1),(130,1),(158,1),(165,1),(168,1),(190,1)}
       149:{1,4,7}:{(129,1),(131,1),(159,1),(166,1)}
       150:{2,4,7}:{(130,1),(131,1),(160,1),(167,1)}
       151:{3,5,7}:{(132,1),(133,1),(161,1),(166,1),(168,1)}
       152:{2,6,7}:{(133,1),(168,1)}
       153:{2,3,7}:{(134,1),(135,1),(169,1),(179,1)}
       154:{1,2,4,6}:{(135,1),(136,1),(137,1),(139,1),(169,1),(170,1),(193,1)}
       155:{1,3,5}:{(136,1),(138,1),(170,1),(171,1),(194,1),(196,1)}
       156:{2,5}:{(137,1),(138,1)}
       157:{4,5}:{(138,1),(142,1)}
       158:{1,2,5,6}:{(139,1),(140,1),(141,1),(148,1),(170,1),(173,1),(176,1),(196,1),(199,1)}
       159:{1,4,6}:{(140,1),(142,1),(149,1),(171,1),(174,1)}
       160:{2,4,6}:{(141,1),(142,1),(150,1),(172,1),(175,1),(193,1)}
       161:{3,5,6}:{(143,1),(151,1),(174,1),(176,1)}
       162:{2,5,6}:{(144,1),(145,1),(146,1),(177,1)}
       163:{4,6}:{(145,1),(147,1)}
       164:{2,4,5,7}:{(146,1),(147,1),(150,1),(172,1),(177,1),(178,1)}
       165:{1,2,4,7}:{(148,1),(149,1),(150,1),(173,1),(179,1),(180,1),(181,1),(200,1)}
       166:{3,4,7}:{(149,1),(151,1),(174,1),(179,1),(180,1)}
       167:{3,4,7}:{(150,1),(175,1),(178,1),(179,1),(181,1)}
       168:{2,5,7}:{(151,1),(152,1),(176,1),(180,1)}
       169:{2,3,6}:{(153,1),(154,1),(182,1),(186,1)}
       170:{1,2,5}:{(154,1),(155,1),(156,1),(182,1)}
       171:{1,4,5}:{(155,1),(157,1),(159,1),(184,1)}
       172:{2,4,5}:{(156,1),(157,1),(160,1),(185,1)}
       173:{1,2,4,6}:{(158,1),(159,1),(160,1),(165,1),(183,1),(186,1),(187,1),(188,1),(204,1)}
       174:{3,4,6}:{(159,1),(161,1),(166,1),(184,1),(186,1),(187,1)}
       175:{3,4,6}:{(160,1),(167,1),(185,1),(186,1),(188,1),(189,1),(201,1)}
       176:{2,5,6}:{(161,1),(168,1),(187,1)}
       177:{2,4,6}:{(162,1),(163,1),(164,1),(189,1)}
       178:{3,5,7}:{(164,1),(167,1),(185,1),(189,1),(190,1)}
       179:{3,7}:{(165,1),(186,1)}
       180:{2,4,7}:{(166,1),(168,1),(187,1),(192,1)}
       181:{1,4,7}:{(167,1),(188,1),(190,1),(191,1)}
       182:{2,3,5}:{(169,1),(170,1),(193,1),(194,1)}
       183:{1,2,4,5}:{(170,1),(171,1),(172,1),(173,1),(193,1),(194,1),(195,1),(196,1),(205,1),(207,1)}
       184:{3,4,5}:{(171,1),(174,1),(194,1),(195,1)}
       185:{3,5}:{(172,1),(175,1),(196,1)}
       186:{3,6}:{(173,1),(179,1),(194,1)}
       187:{2,4,6}:{(174,1),(176,1),(180,1),(195,1),(198,1)}
       188:{1,4,6}:{(175,1),(181,1),(196,1),(197,1),(199,1),(205,1)}
       189:{3,6}:{(177,1),(178,1),(199,1)}
       190:{1,5,7}:{(178,1),(181,1),(196,1),(199,1)}
       191:{1,3,7}:{(179,1),(181,1),(197,1),(200,1)}
       192:{2,3,7}:{(179,1),(180,1),(198,1),(200,1)}
       193:{2,4}:{(182,1),(201,1)}
       194:{3,5}:{(183,1),(186,1),(201,1)}
       195:{2,4,5}:{(184,1),(187,1),(203,1)}
       196:{1,5}:{(185,1),(188,1)}
       197:{1,3,6}:{(186,1),(188,1),(191,1),(202,1),(204,1)}
       198:{2,3,6}:{(186,1),(187,1),(192,1),(203,1),(204,1)}
       199:{1,6}:{(189,1),(190,1)}
       200:{1,2,7}:{(191,1),(192,1),(204,1)}
       201:{3,4}:{(193,1),(194,1),(205,1)}
       202:{1,3,5}:{(194,1),(196,1),(197,1),(205,1),(207,1),(209,1)}
       203:{2,3,5}:{(194,1),(195,1),(198,1),(206,1),(207,1)}
       204:{1,2,6}:{(197,1),(198,1),(200,1),(207,1)}
       205:{1,4}:{(201,1),(202,1)}
       206:{2,3,4}:{(201,1),(203,1),(208,1)}
       207:{1,2,5}:{(202,1),(203,1),(204,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{1,3}:{(208,1)}

 595 :   0:{3,4,6,7}:{(3,1),(4,1),(5,1),(25,1),(33,1),(39,1),(68,1),(71,1),(77,1),(79,1),(126,1)}
         1:{2,3,6,7}:{(4,1),(6,1),(8,1),(25,1),(79,1),(121,1),(131,1)}
         2:{2,3,5,6}:{(7,1),(8,1),(9,1),(30,1),(32,1),(38,1),(70,1),(76,1),(79,1),(131,1),(161,1),(172,1)}
         3:{1,4,6,7}:{(0,1),(10,1),(12,1),(44,1),(50,1),(62,1),(108,1),(146,1)}
         4:{2,4,6,7}:{(0,1),(1,1),(13,1),(21,1),(52,1),(96,1),(107,1),(147,1)}
         5:{3,5,7}:{(0,1),(12,1),(13,1),(15,1),(16,1),(145,1)}
         6:{1,2,6,7}:{(1,1),(17,1),(19,1),(108,1),(143,1),(150,1),(151,1)}
         7:{1,2,5,6}:{(2,1),(18,1),(19,1),(20,1),(54,1),(106,1),(108,1),(111,1),(150,1),(151,1),(169,1)}
         8:{2,3,5,7}:{(1,1),(2,1),(13,1),(19,1),(21,1),(46,1),(53,1),(59,1)}
         9:{2,4,6}:{(2,1),(14,1),(21,1),(22,1),(99,1),(102,1),(174,1)}
        10:{1,3,6,7}:{(3,1),(23,1),(24,1),(25,1),(77,1),(86,1),(130,1)}
        11:{1,2,4,6,7}:{(3,1),(4,1),(6,1),(23,1),(25,1),(26,1),(34,1),(37,1),(63,1),(66,1),(71,1),(73,1),(162,1)}
        12:{1,5,7}:{(3,1),(5,1),(28,1),(160,1)}
        13:{2,5,7}:{(4,1),(5,1),(30,1),(161,1)}
        14:{2,4,5}:{(9,1),(32,1),(125,1),(161,1)}
        15:{3,5,6}:{(5,1),(28,1),(30,1),(33,1),(77,1),(79,1)}
        16:{4,5,7}:{(5,1),(33,1),(71,1),(125,1)}
        17:{1,3,6,7}:{(6,1),(25,1),(34,1),(35,1),(120,1),(130,1),(133,1)}
        18:{1,3,5,6}:{(7,1),(35,1),(36,1),(38,1),(70,1),(75,1),(81,1),(83,1),(130,1),(133,1),(160,1),(172,1)}
        19:{1,2,5,7}:{(6,1),(7,1),(8,1),(35,1),(37,1),(80,1),(134,1)}
        20:{1,2,4,6}:{(7,1),(9,1),(27,1),(36,1),(37,1),(38,1),(40,1),(85,1),(88,1),(129,1)}
        21:{2,4,7}:{(8,1),(9,1),(39,1),(71,1)}
        22:{3,4,6}:{(9,1),(32,1),(38,1),(39,1),(40,1),(72,1),(79,1)}
        23:{1,2,6,7}:{(10,1),(41,1),(42,1),(107,1),(113,1),(150,1),(164,1)}
        24:{1,3,5,7}:{(10,1),(12,1),(42,1),(43,1),(44,1),(46,1),(51,1),(93,1)}
        25:{3,6,7}:{(11,1),(46,1),(59,1),(93,1),(103,1),(170,1)}
        26:{1,2,5,7}:{(11,1),(12,1),(13,1),(46,1),(47,1),(55,1),(89,1),(169,1)}
        27:{1,2,4,5}:{(14,1),(20,1),(49,1),(54,1),(56,1),(101,1),(102,1),(106,1),(111,1),(169,1),(174,1)}
        28:{1,5,6}:{(12,1),(15,1),(50,1),(108,1)}
        29:{1,4,5,7}:{(12,1),(16,1),(44,1),(50,1),(51,1),(94,1)}
        30:{2,5,6}:{(13,1),(15,1),(52,1),(107,1)}
        31:{2,4,5,7}:{(13,1),(14,1),(16,1),(21,1),(52,1),(53,1)}
        32:{3,5}:{(14,1),(22,1),(54,1)}
        33:{4,6}:{(15,1),(16,1)}
        34:{1,4,6,7}:{(17,1),(45,1),(55,1),(57,1),(109,1),(139,1),(146,1),(164,1)}
        35:{1,3,5,7}:{(17,1),(18,1),(19,1),(46,1),(55,1),(57,1),(59,1),(110,1)}
        36:{1,4,6}:{(18,1),(56,1),(57,1),(58,1),(99,1),(101,1),(174,1)}
        37:{1,2,4,7}:{(19,1),(20,1),(21,1),(57,1),(59,1),(62,1),(112,1),(113,1)}
        38:{3,6}:{(20,1),(49,1),(59,1),(149,1)}
        39:{3,4,7}:{(21,1),(22,1),(53,1),(59,1),(62,1)}
        40:{1,4,6}:{(22,1),(54,1),(60,1),(62,1),(101,1),(108,1)}
        41:{2,3,6,7}:{(23,1),(25,1),(63,1),(64,1),(87,1),(131,1),(152,1)}
        42:{1,2,5,7}:{(23,1),(24,1),(64,1),(65,1),(66,1),(78,1),(153,1)}
        43:{1,3,5,6}:{(24,1),(28,1),(65,1),(67,1),(70,1),(77,1),(119,1),(122,1),(130,1),(157,1),(160,1),(172,1)}
        44:{1,4,7}:{(24,1),(67,1),(68,1),(71,1)}
        45:{3,4,6,7}:{(25,1),(34,1),(63,1),(69,1),(71,1),(84,1),(117,1),(124,1),(126,1),(133,1),(152,1)}
        46:{3,5,7}:{(25,1),(26,1),(70,1),(71,1),(172,1)}
        47:{1,2,5,6}:{(26,1),(28,1),(30,1),(70,1),(73,1),(81,1),(114,1),(160,1),(161,1)}
        48:{1,2,4,5,7}:{(26,1),(27,1),(29,1),(31,1),(37,1),(66,1),(71,1),(73,1),(74,1),(78,1),(80,1),(82,1),(115,1),(118,1),(125,1),(127,1),(128,1),(132,1),(134,1),(153,1),(160,1),(161,1)}
        49:{3,5}:{(27,1),(38,1),(72,1)}
        50:{1,4,6}:{(28,1),(29,1),(33,1),(77,1)}
        51:{3,5,7}:{(29,1),(68,1),(77,1),(78,1),(122,1)}
        52:{2,4,6}:{(30,1),(31,1),(33,1),(79,1)}
        53:{3,5,7}:{(31,1),(32,1),(39,1),(79,1),(80,1)}
        54:{1,5}:{(32,1),(40,1)}
        55:{1,5,7}:{(34,1),(69,1),(81,1),(160,1)}
        56:{1,4,5}:{(36,1),(83,1),(125,1),(160,1)}
        57:{1,4,7}:{(35,1),(36,1),(71,1),(84,1)}
        58:{3,4,6}:{(36,1),(38,1),(72,1),(83,1),(84,1),(85,1),(133,1)}
        59:{3,7}:{(37,1),(38,1)}
        60:{1,3,6}:{(38,1),(40,1),(75,1),(86,1),(88,1)}
        61:{2,3,6}:{(38,1),(76,1),(85,1),(87,1),(88,1)}
        62:{1,4,7}:{(39,1),(40,1),(80,1),(86,1)}
        63:{2,4,6,7}:{(41,1),(45,1),(89,1),(91,1),(112,1),(135,1),(147,1),(151,1)}
        64:{2,3,5,7}:{(41,1),(42,1),(46,1),(89,1),(90,1),(91,1),(93,1),(136,1)}
        65:{1,2,5,6}:{(42,1),(43,1),(90,1),(92,1),(107,1),(144,1),(150,1),(164,1),(165,1),(168,1),(169,1)}
        66:{1,2,4,7}:{(42,1),(44,1),(91,1),(92,1),(93,1),(96,1),(139,1),(143,1)}
        67:{1,4,6}:{(43,1),(44,1),(94,1),(95,1),(99,1),(166,1),(174,1)}
        68:{3,4,7}:{(44,1),(51,1),(93,1),(95,1),(96,1)}
        69:{3,5,7}:{(45,1),(55,1),(89,1),(97,1),(98,1),(145,1)}
        70:{3,5,6}:{(46,1),(47,1),(99,1),(103,1),(145,1)}
        71:{4,7}:{(46,1),(99,1),(174,1)}
        72:{3,4}:{(49,1),(101,1),(102,1),(149,1),(174,1)}
        73:{1,2,4,6}:{(47,1),(48,1),(50,1),(52,1),(99,1),(103,1),(107,1),(108,1),(109,1),(135,1),(146,1),(147,1),(150,1),(151,1),(164,1)}
        74:{3,5,7}:{(48,1),(49,1),(59,1),(93,1),(100,1),(103,1),(140,1),(145,1)}
        75:{1,3,5}:{(49,1),(54,1),(60,1),(101,1),(106,1),(149,1)}
        76:{2,3,5}:{(49,1),(61,1),(102,1),(106,1),(111,1),(149,1)}
        77:{3,6}:{(50,1),(51,1),(107,1)}
        78:{2,5,7}:{(51,1),(96,1),(107,1),(144,1)}
        79:{3,6}:{(52,1),(53,1),(108,1)}
        80:{1,5,7}:{(53,1),(54,1),(62,1),(108,1)}
        81:{1,5,6}:{(55,1),(97,1),(109,1),(164,1)}
        82:{1,4,5,7}:{(55,1),(56,1),(57,1),(98,1),(109,1),(110,1)}
        83:{3,5}:{(56,1),(58,1),(111,1)}
        84:{3,4,7}:{(57,1),(58,1),(59,1),(110,1),(112,1)}
        85:{2,4,6}:{(58,1),(61,1),(102,1),(111,1),(112,1),(151,1)}
        86:{1,3,7}:{(59,1),(60,1),(62,1),(113,1)}
        87:{2,3,7}:{(59,1),(61,1),(112,1),(113,1)}
        88:{1,2,6}:{(60,1),(61,1),(106,1),(113,1)}
        89:{2,5,7}:{(63,1),(69,1),(114,1),(161,1)}
        90:{2,3,5,6}:{(64,1),(65,1),(70,1),(114,1),(116,1),(119,1),(131,1),(152,1),(154,1),(158,1),(161,1),(172,1)}
        91:{2,4,7}:{(64,1),(71,1),(116,1),(117,1)}
        92:{1,2,4,6}:{(65,1),(66,1),(67,1),(116,1),(118,1),(119,1),(123,1),(155,1),(159,1),(171,1)}
        93:{3,7}:{(66,1),(119,1)}
        94:{1,4,5}:{(67,1),(122,1),(125,1),(160,1)}
        95:{3,4,6}:{(67,1),(68,1),(77,1),(119,1),(122,1),(123,1),(156,1)}
        96:{2,4,7}:{(68,1),(78,1),(121,1),(123,1)}
        97:{3,5,6}:{(69,1),(81,1),(114,1),(124,1),(133,1),(152,1)}
        98:{4,5,7}:{(69,1),(71,1),(124,1),(125,1)}
        99:{4,6}:{(70,1),(71,1),(125,1)}
       100:{3,4,7}:{(71,1),(72,1),(74,1),(126,1),(127,1),(128,1),(156,1),(163,1)}
       101:{1,4}:{(72,1),(75,1)}
       102:{2,4}:{(72,1),(76,1)}
       103:{3,6}:{(73,1),(74,1)}
       104:{1,3,5,7}:{(74,1),(75,1),(80,1),(86,1),(120,1),(127,1),(130,1),(132,1),(153,1),(157,1),(160,1),(163,1),(172,1)}
       105:{2,3,5,7}:{(74,1),(76,1),(78,1),(87,1),(121,1),(128,1),(131,1),(132,1),(134,1),(158,1),(161,1),(163,1),(172,1)}
       106:{1,2,5}:{(75,1),(76,1),(88,1),(129,1)}
       107:{2,6}:{(77,1),(78,1)}
       108:{1,6}:{(79,1),(80,1)}
       109:{1,4,6}:{(81,1),(82,1),(124,1),(133,1)}
       110:{3,5,7}:{(82,1),(83,1),(84,1),(133,1),(134,1)}
       111:{2,5}:{(83,1),(85,1)}
       112:{2,4,7}:{(84,1),(85,1),(87,1),(134,1)}
       113:{1,2,7}:{(86,1),(87,1),(88,1)}
       114:{2,5,6}:{(89,1),(97,1),(135,1),(151,1)}
       115:{2,4,5,7}:{(89,1),(91,1),(98,1),(135,1),(136,1),(137,1)}
       116:{2,4,6}:{(90,1),(91,1),(99,1),(137,1),(138,1),(167,1),(174,1)}
       117:{3,4,7}:{(91,1),(93,1),(136,1),(138,1),(139,1)}
       118:{1,2,4,5}:{(92,1),(94,1),(137,1),(140,1),(144,1),(165,1),(166,1),(167,1),(168,1),(169,1),(174,1)}
       119:{3,6}:{(92,1),(93,1),(140,1),(173,1)}
       120:{1,3,7}:{(93,1),(139,1),(141,1),(143,1)}
       121:{2,3,7}:{(93,1),(96,1),(142,1),(143,1)}
       122:{3,5}:{(94,1),(95,1),(144,1)}
       123:{2,4,6}:{(95,1),(96,1),(107,1),(142,1),(144,1),(167,1)}
       124:{4,6}:{(97,1),(98,1)}
       125:{4,5}:{(99,1),(145,1),(174,1)}
       126:{3,4,6}:{(99,1),(100,1),(103,1),(145,1),(146,1),(147,1),(170,1),(174,1)}
       127:{1,4,7}:{(100,1),(101,1),(104,1),(146,1),(166,1),(174,1)}
       128:{2,4,7}:{(100,1),(102,1),(105,1),(147,1),(167,1),(174,1)}
       129:{1,2,4}:{(101,1),(102,1),(106,1),(149,1)}
       130:{1,3,6}:{(103,1),(104,1),(108,1),(146,1),(150,1),(164,1),(170,1)}
       131:{2,3,6}:{(103,1),(105,1),(107,1),(147,1),(150,1),(151,1),(170,1)}
       132:{1,2,5,7}:{(104,1),(105,1),(106,1),(113,1),(143,1),(148,1),(150,1),(168,1),(169,1)}
       133:{3,6}:{(109,1),(110,1),(151,1)}
       134:{2,5,7}:{(110,1),(111,1),(112,1),(151,1)}
       135:{2,4,6}:{(114,1),(115,1),(124,1),(152,1)}
       136:{3,5,7}:{(115,1),(117,1),(152,1),(153,1),(154,1)}
       137:{2,4,5}:{(116,1),(125,1),(154,1),(161,1)}
       138:{3,4,6}:{(116,1),(117,1),(119,1),(152,1),(154,1),(155,1),(156,1)}
       139:{1,4,7}:{(117,1),(120,1),(153,1),(155,1)}
       140:{3,5}:{(118,1),(119,1),(156,1)}
       141:{1,3,6}:{(119,1),(120,1),(155,1),(157,1),(159,1)}
       142:{2,3,6}:{(119,1),(121,1),(123,1),(158,1),(159,1)}
       143:{1,2,7}:{(120,1),(121,1),(159,1)}
       144:{2,5}:{(122,1),(123,1)}
       145:{3,5}:{(125,1),(126,1),(160,1),(161,1)}
       146:{1,4,6}:{(126,1),(127,1),(130,1),(160,1)}
       147:{2,4,6}:{(126,1),(128,1),(131,1),(161,1)}
       148:{1,2,4,7}:{(127,1),(128,1),(129,1),(132,1),(162,1),(163,1),(171,1)}
       149:{3}:{(129,1)}
       150:{1,2,6}:{(130,1),(131,1),(132,1)}
       151:{2,6}:{(133,1),(134,1)}
       152:{3,6}:{(135,1),(136,1),(164,1)}
       153:{1,5,7}:{(136,1),(139,1),(164,1),(165,1)}
       154:{3,5}:{(137,1),(138,1),(165,1)}
       155:{1,4,6}:{(138,1),(139,1),(141,1),(164,1),(165,1),(166,1)}
       156:{3,4}:{(140,1),(166,1),(167,1),(173,1),(174,1)}
       157:{1,3,5}:{(140,1),(141,1),(165,1),(166,1),(168,1),(173,1)}
       158:{2,3,5}:{(140,1),(142,1),(144,1),(167,1),(168,1),(173,1)}
       159:{1,2,6}:{(141,1),(142,1),(143,1),(168,1)}
       160:{1,5}:{(145,1),(146,1)}
       161:{2,5}:{(145,1),(147,1)}
       162:{1,2,4,6}:{(146,1),(147,1),(148,1),(150,1),(169,1),(170,1),(174,1)}
       163:{3,7}:{(148,1),(149,1),(170,1),(173,1)}
       164:{1,6}:{(152,1),(153,1)}
       165:{1,5}:{(154,1),(155,1)}
       166:{1,4}:{(156,1),(157,1)}
       167:{2,4}:{(156,1),(158,1)}
       168:{1,2,5}:{(157,1),(158,1),(159,1),(171,1)}
       169:{1,2,5}:{(160,1),(161,1),(162,1),(172,1)}
       170:{3,6}:{(162,1),(163,1),(172,1)}
       171:{1,2,4}:{(166,1),(167,1),(168,1),(173,1)}
       172:{3,5}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{4}:{(172,1)}

 596 :  0:{3,4,5}:{(3,1),(4,1),(5,1),(21,1),(70,1)}
        1:{2,3,4}:{(6,1),(7,1),(35,1)}
        2:{1,3,4}:{(8,1),(9,1),(35,1)}
        3:{1,4,5}:{(0,1),(8,1),(11,1)}
        4:{2,4,5}:{(0,1),(6,1),(12,1)}
        5:{3,4,6}:{(0,1),(11,1),(12,1),(13,1),(14,1),(36,1),(62,1)}
        6:{2,3,5}:{(1,1),(4,1),(15,1),(16,1),(21,1)}
        7:{1,2,4}:{(1,1),(15,1),(17,1),(43,1)}
        8:{1,3,5}:{(2,1),(3,1),(18,1),(19,1),(21,1)}
        9:{1,2,4}:{(2,1),(18,1),(20,1),(46,1)}
       10:{1,2,4,5}:{(3,1),(4,1),(15,1),(18,1),(21,1),(22,1),(43,1),(46,1),(66,1),(68,1),(70,1)}
       11:{1,4,6}:{(3,1),(5,1),(19,1),(23,1),(24,1)}
       12:{2,4,6}:{(4,1),(5,1),(16,1),(25,1),(26,1)}
       13:{3,5,6}:{(5,1),(23,1),(25,1),(27,1),(28,1)}
       14:{3,4,7}:{(5,1),(24,1),(26,1),(28,1),(51,1),(72,1)}
       15:{1,2,5}:{(6,1),(7,1),(29,1),(30,1)}
       16:{2,3,6}:{(6,1),(12,1),(30,1),(31,1),(36,1)}
       17:{1,3}:{(7,1)}
       18:{1,2,5}:{(8,1),(9,1),(32,1),(33,1)}
       19:{1,3,6}:{(8,1),(11,1),(33,1),(34,1),(36,1)}
       20:{2,3}:{(9,1)}
       21:{3,5}:{(10,1),(35,1),(36,1)}
       22:{1,2,4,6}:{(10,1),(11,1),(12,1),(30,1),(33,1),(36,1),(37,1),(38,1),(56,1),(58,1),(62,1)}
       23:{1,5,6}:{(11,1),(13,1),(39,1)}
       24:{1,4,7}:{(11,1),(14,1),(34,1),(39,1)}
       25:{2,5,6}:{(12,1),(13,1),(40,1)}
       26:{2,4,7}:{(12,1),(14,1),(31,1),(40,1)}
       27:{4,5,6}:{(13,1),(41,1),(62,1),(83,1)}
       28:{3,5,7}:{(13,1),(14,1),(39,1),(40,1),(41,1),(42,1)}
       29:{1,3,5}:{(15,1),(17,1),(21,1),(43,1),(44,1),(66,1)}
       30:{1,2,6}:{(15,1),(16,1),(44,1),(45,1)}
       31:{2,3,7}:{(16,1),(26,1),(45,1),(51,1)}
       32:{2,3,5}:{(18,1),(20,1),(21,1),(46,1),(47,1),(68,1)}
       33:{1,2,6}:{(18,1),(19,1),(47,1),(48,1)}
       34:{1,3,7}:{(19,1),(24,1),(48,1),(51,1)}
       35:{3,4}:{(21,1),(43,1),(46,1)}
       36:{3,6}:{(21,1),(22,1),(51,1)}
       37:{1,2,5,6}:{(22,1),(23,1),(25,1),(50,1),(52,1),(66,1),(68,1),(79,1),(80,1)}
       38:{1,2,4,7}:{(22,1),(24,1),(26,1),(45,1),(48,1),(51,1),(52,1),(67,1),(69,1),(72,1)}
       39:{1,5,7}:{(23,1),(24,1),(28,1),(53,1)}
       40:{2,5,7}:{(25,1),(26,1),(28,1),(54,1)}
       41:{4,5,7}:{(27,1),(28,1),(55,1),(72,1),(82,1)}
       42:{3,6,7}:{(28,1),(53,1),(54,1),(55,1)}
       43:{1,4}:{(29,1),(35,1)}
       44:{1,3,6}:{(29,1),(30,1),(36,1),(56,1),(57,1)}
       45:{1,2,7}:{(30,1),(31,1),(57,1)}
       46:{2,4}:{(32,1),(35,1)}
       47:{2,3,6}:{(32,1),(33,1),(36,1),(58,1),(59,1)}
       48:{1,2,7}:{(33,1),(34,1),(59,1)}
       49:{3,4,6}:{(35,1),(36,1),(56,1),(58,1),(60,1),(61,1),(62,1),(77,1)}
       50:{3,5,6}:{(36,1),(37,1),(60,1),(62,1),(63,1),(77,1),(83,1)}
       51:{3,7}:{(36,1),(38,1)}
       52:{1,2,5,7}:{(37,1),(38,1),(39,1),(40,1),(63,1),(64,1),(74,1),(75,1)}
       53:{1,6,7}:{(39,1),(42,1)}
       54:{2,6,7}:{(40,1),(42,1)}
       55:{4,6,7}:{(41,1),(42,1),(65,1)}
       56:{1,4,6}:{(43,1),(44,1),(49,1),(66,1),(67,1),(79,1)}
       57:{1,3,7}:{(44,1),(45,1),(51,1),(67,1)}
       58:{2,4,6}:{(46,1),(47,1),(49,1),(68,1),(69,1),(80,1)}
       59:{2,3,7}:{(47,1),(48,1),(51,1),(69,1)}
       60:{3,5}:{(49,1),(66,1),(68,1),(70,1)}
       61:{3,4,7}:{(49,1),(51,1),(67,1),(69,1),(71,1),(72,1)}
       62:{4,6}:{(50,1),(70,1),(72,1)}
       63:{3,5,7}:{(50,1),(51,1),(52,1),(72,1),(73,1),(82,1)}
       64:{1,2,6,7}:{(52,1),(53,1),(54,1),(73,1),(79,1),(80,1)}
       65:{5,6,7}:{(55,1),(82,1)}
       66:{1,5}:{(56,1),(60,1)}
       67:{1,4,7}:{(56,1),(57,1),(61,1),(74,1)}
       68:{2,5}:{(58,1),(60,1)}
       69:{2,4,7}:{(58,1),(59,1),(61,1),(75,1)}
       70:{4,5}:{(60,1),(62,1)}
       71:{3,5,7}:{(60,1),(61,1),(74,1),(75,1),(76,1),(77,1)}
       72:{4,7}:{(62,1),(63,1)}
       73:{3,6,7}:{(63,1),(64,1),(77,1),(78,1)}
       74:{1,5,7}:{(66,1),(67,1),(71,1),(79,1)}
       75:{2,5,7}:{(68,1),(69,1),(71,1),(80,1)}
       76:{4,5,7}:{(70,1),(71,1),(72,1),(81,1),(82,1)}
       77:{3,6}:{(71,1),(79,1),(80,1),(81,1)}
       78:{4,6,7}:{(72,1),(73,1),(81,1),(82,1)}
       79:{1,6}:{(74,1),(77,1)}
       80:{2,6}:{(75,1),(77,1)}
       81:{4,6}:{(76,1),(77,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 597 :   0:{1,2,4,5,6}:{(1,1),(2,1),(9,1),(10,1),(12,1),(32,1),(73,1),(74,1),(75,1),(76,1),(102,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(51,1),(88,1),(100,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(24,1),(26,1),(62,1),(63,1),(64,1)}
         3:{3,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(40,1),(71,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(12,1),(13,1),(30,1),(40,1),(67,1),(68,1),(74,1),(94,1),(96,1),(103,1)}
         5:{2,3,5,6}:{(1,1),(10,1),(12,1),(14,1),(31,1),(40,1),(65,1),(70,1),(75,1),(92,1),(96,1),(102,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(15,1)}
         7:{1,2,4,6,7}:{(2,1),(15,1),(16,1),(42,1),(43,1),(45,1),(46,1),(73,1)}
         8:{3,4,5}:{(3,1),(17,1),(18,1),(51,1),(100,1)}
         9:{1,4,6}:{(3,1),(4,1),(17,1),(23,1),(84,1),(101,1)}
        10:{2,4,6}:{(3,1),(5,1),(18,1),(24,1),(81,1),(101,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(24,1),(60,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(22,1),(26,1),(47,1),(49,1),(83,1),(86,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(23,1),(26,1),(27,1),(60,1),(62,1),(90,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(24,1),(26,1),(28,1),(60,1),(63,1),(90,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,2,5,6,7}:{(7,1),(29,1),(62,1),(63,1),(89,1)}
        17:{1,4,5}:{(8,1),(9,1),(30,1),(103,1),(104,1)}
        18:{2,4,5}:{(8,1),(10,1),(31,1),(102,1),(104,1)}
        19:{3,4,5,7}:{(8,1),(11,1),(33,1),(34,1),(35,1),(44,1),(72,1),(97,1),(104,1)}
        20:{1,3,4,6}:{(9,1),(30,1),(36,1),(37,1),(40,1),(67,1),(71,1),(95,1)}
        21:{2,3,4,6}:{(10,1),(31,1),(38,1),(39,1),(40,1),(70,1),(71,1),(95,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(12,1),(32,1),(40,1),(41,1)}
        23:{1,4,7}:{(9,1),(11,1),(13,1),(97,1)}
        24:{2,4,7}:{(10,1),(11,1),(14,1),(97,1)}
        25:{3,4,6,7}:{(11,1),(15,1),(35,1),(42,1),(43,1),(44,1),(46,1),(79,1),(95,1),(97,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(14,1),(41,1),(45,1)}
        27:{1,3,6,7}:{(13,1),(15,1),(42,1),(45,1),(67,1),(79,1),(94,1)}
        28:{2,3,6,7}:{(14,1),(15,1),(43,1),(45,1),(70,1),(79,1),(92,1)}
        29:{3,5,6,7}:{(15,1),(16,1),(44,1),(46,1),(96,1)}
        30:{1,3,5}:{(17,1),(20,1),(47,1),(51,1),(100,1)}
        31:{2,3,5}:{(18,1),(21,1),(49,1),(51,1),(100,1)}
        32:{1,2,4,5}:{(17,1),(18,1),(22,1),(47,1),(49,1),(51,1),(81,1),(84,1)}
        33:{1,4,5,7}:{(17,1),(19,1),(23,1),(48,1),(53,1),(62,1)}
        34:{2,4,5,7}:{(18,1),(19,1),(24,1),(50,1),(54,1),(63,1)}
        35:{3,4,6}:{(19,1),(53,1),(54,1),(55,1),(88,1),(101,1)}
        36:{1,2,4,6}:{(20,1),(47,1),(56,1),(57,1),(81,1),(83,1),(98,1)}
        37:{1,3,4,7}:{(20,1),(23,1),(48,1),(57,1),(60,1),(87,1)}
        38:{1,2,4,6}:{(21,1),(49,1),(58,1),(59,1),(84,1),(86,1),(99,1)}
        39:{2,3,4,7}:{(21,1),(24,1),(50,1),(59,1),(60,1),(87,1)}
        40:{3,6}:{(22,1),(51,1),(60,1)}
        41:{1,2,4,7}:{(22,1),(23,1),(24,1),(26,1),(60,1)}
        42:{1,4,6,7}:{(23,1),(25,1),(27,1),(53,1),(62,1),(99,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(28,1),(54,1),(63,1),(98,1)}
        44:{3,5,7}:{(25,1),(55,1),(62,1),(63,1),(64,1),(100,1)}
        45:{1,2,6,7}:{(26,1),(27,1),(28,1),(83,1),(86,1)}
        46:{4,6,7}:{(29,1),(64,1),(101,1)}
        47:{1,2,5}:{(30,1),(36,1),(65,1),(102,1)}
        48:{1,3,5,7}:{(30,1),(33,1),(37,1),(66,1),(67,1),(72,1)}
        49:{1,2,5}:{(31,1),(38,1),(68,1),(103,1)}
        50:{2,3,5,7}:{(31,1),(34,1),(39,1),(69,1),(70,1),(72,1)}
        51:{3,5}:{(32,1),(40,1),(71,1)}
        52:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(41,1),(66,1),(69,1),(72,1),(73,1),(80,1),(91,1),(93,1),(97,1),(102,1),(103,1),(104,1)}
        53:{1,4,6}:{(33,1),(35,1),(67,1),(74,1)}
        54:{2,4,6}:{(34,1),(35,1),(70,1),(75,1)}
        55:{3,5,6}:{(35,1),(44,1),(74,1),(75,1),(76,1)}
        56:{2,3,6}:{(36,1),(40,1),(65,1),(77,1)}
        57:{1,2,4,7}:{(36,1),(37,1),(66,1),(77,1),(91,1)}
        58:{1,3,6}:{(38,1),(40,1),(68,1),(78,1)}
        59:{1,2,4,7}:{(38,1),(39,1),(69,1),(78,1),(93,1)}
        60:{3,7}:{(40,1),(41,1)}
        61:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(45,1),(73,1),(79,1),(80,1),(97,1)}
        62:{1,5,7}:{(42,1),(44,1),(74,1),(103,1)}
        63:{2,5,7}:{(43,1),(44,1),(75,1),(102,1)}
        64:{4,5,7}:{(44,1),(46,1),(76,1),(97,1),(104,1)}
        65:{2,3,5}:{(47,1),(51,1),(56,1),(81,1)}
        66:{1,2,5,7}:{(47,1),(48,1),(57,1),(82,1),(83,1)}
        67:{1,3,6}:{(48,1),(53,1),(83,1),(88,1)}
        68:{1,3,5}:{(49,1),(51,1),(58,1),(84,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(59,1),(85,1),(86,1)}
        70:{2,3,6}:{(50,1),(54,1),(86,1),(88,1)}
        71:{3,4}:{(51,1),(81,1),(84,1)}
        72:{3,5,7}:{(51,1),(52,1),(60,1),(87,1),(88,1),(100,1)}
        73:{1,2,4,6}:{(52,1),(53,1),(54,1),(83,1),(86,1),(88,1),(89,1),(98,1),(99,1),(101,1)}
        74:{1,5,6}:{(53,1),(55,1),(62,1)}
        75:{2,5,6}:{(54,1),(55,1),(63,1)}
        76:{4,5,6}:{(55,1),(64,1),(101,1)}
        77:{2,3,7}:{(56,1),(57,1),(60,1)}
        78:{1,3,7}:{(58,1),(59,1),(60,1)}
        79:{3,6,7}:{(60,1),(61,1),(88,1),(90,1)}
        80:{1,2,5,7}:{(61,1),(62,1),(63,1),(89,1),(90,1)}
        81:{2,4}:{(65,1),(71,1)}
        82:{2,3,5,7}:{(65,1),(66,1),(72,1),(77,1),(91,1),(92,1),(102,1)}
        83:{1,2,6}:{(66,1),(67,1),(92,1)}
        84:{1,4}:{(68,1),(71,1)}
        85:{1,3,5,7}:{(68,1),(69,1),(72,1),(78,1),(93,1),(94,1),(103,1)}
        86:{1,2,6}:{(69,1),(70,1),(94,1)}
        87:{3,4,7}:{(71,1),(72,1),(91,1),(93,1),(95,1),(97,1)}
        88:{3,6}:{(72,1),(73,1)}
        89:{1,2,5,6}:{(73,1),(74,1),(75,1),(80,1),(96,1),(102,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{2,4,7}:{(81,1),(82,1),(87,1),(98,1)}
        92:{2,3,6}:{(82,1),(83,1),(88,1),(98,1)}
        93:{1,4,7}:{(84,1),(85,1),(87,1),(99,1)}
        94:{1,3,6}:{(85,1),(86,1),(88,1),(99,1)}
        95:{3,4,6}:{(87,1),(88,1),(98,1),(99,1),(100,1),(101,1)}
        96:{3,5,6}:{(88,1),(89,1),(90,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{2,4,6}:{(91,1),(92,1),(95,1),(102,1)}
        99:{1,4,6}:{(93,1),(94,1),(95,1),(103,1)}
       100:{3,5}:{(95,1),(102,1),(103,1),(104,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{2,5}:{(98,1),(100,1)}
       103:{1,5}:{(99,1),(100,1)}
       104:{4,5}:{(100,1),(101,1)}

 598 :   0:{1,4,5,6}:{(2,1),(3,1),(18,1),(43,1),(95,1)}
         1:{1,5,6,7}:{(5,1),(7,1),(77,1),(81,1)}
         2:{1,4,5,7}:{(0,1),(7,1),(8,1),(33,1),(35,1),(81,1)}
         3:{3,5,6}:{(0,1),(6,1),(8,1),(10,1)}
         4:{1,3,4,6}:{(12,1),(13,1),(14,1),(18,1),(48,1),(60,1),(99,1),(107,1),(148,1)}
         5:{3,5,6,7}:{(1,1),(15,1),(16,1),(20,1),(53,1),(56,1)}
         6:{3,4,6}:{(3,1),(11,1),(17,1),(18,1),(19,1),(60,1)}
         7:{1,4,6,7}:{(1,1),(2,1),(16,1),(20,1)}
         8:{3,5,7}:{(2,1),(3,1),(17,1),(20,1),(22,1)}
         9:{1,3,5,6}:{(3,1),(12,1),(18,1),(21,1),(23,1),(48,1),(60,1),(95,1),(147,1)}
        10:{2,5,6}:{(3,1),(19,1),(22,1)}
        11:{3,4,5}:{(6,1),(25,1),(26,1),(72,1)}
        12:{1,3,5}:{(4,1),(25,1),(28,1),(72,1),(132,1),(168,1)}
        13:{1,3,4,7}:{(4,1),(27,1),(29,1),(35,1),(84,1),(125,1),(131,1),(189,1)}
        14:{1,2,4,6}:{(4,1),(28,1),(29,1),(30,1),(73,1),(75,1),(126,1)}
        15:{2,5,6,7}:{(5,1),(31,1),(39,1),(82,1)}
        16:{4,6,7}:{(5,1),(33,1)}
        17:{3,4,7}:{(6,1),(8,1),(35,1),(36,1),(84,1)}
        18:{1,4,6}:{(6,1),(9,1),(25,1),(35,1),(167,1)}
        19:{2,4,6}:{(6,1),(10,1),(26,1),(32,1),(36,1)}
        20:{3,6,7}:{(7,1),(8,1),(39,1)}
        21:{1,3,5,7}:{(8,1),(9,1),(35,1),(38,1),(40,1),(81,1),(84,1),(133,1)}
        22:{2,5,7}:{(8,1),(10,1),(36,1),(39,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(28,1),(37,1),(40,1),(41,1),(73,1),(132,1),(173,1)}
        24:{3,4,5,7}:{(11,1),(17,1),(44,1),(45,1),(46,1),(56,1),(98,1),(102,1),(138,1),(155,1),(183,1)}
        25:{1,4,5}:{(11,1),(12,1),(18,1),(183,1)}
        26:{2,4,5}:{(11,1),(19,1),(42,1)}
        27:{1,3,5,7}:{(12,1),(13,1),(45,1),(48,1),(49,1),(98,1),(150,1),(154,1),(176,1)}
        28:{1,2,5}:{(12,1),(14,1),(50,1),(149,1)}
        29:{1,2,4,7}:{(13,1),(14,1),(49,1),(51,1),(101,1),(199,1)}
        30:{2,3,6}:{(14,1),(50,1),(51,1),(60,1)}
        31:{2,4,6,7}:{(15,1),(16,1),(52,1),(53,1)}
        32:{2,3,6}:{(19,1),(42,1),(54,1),(55,1),(60,1)}
        33:{4,5,7}:{(16,1),(43,1),(56,1),(155,1)}
        34:{3,4,6,7}:{(16,1),(17,1),(20,1),(44,1),(53,1),(56,1),(57,1),(58,1),(102,1),(109,1),(155,1)}
        35:{1,4,7}:{(17,1),(18,1),(21,1),(155,1)}
        36:{2,4,7}:{(17,1),(19,1),(22,1),(54,1)}
        37:{1,2,4,6}:{(18,1),(19,1),(23,1),(47,1),(55,1),(59,1),(60,1),(63,1),(107,1)}
        38:{1,3,6,7}:{(20,1),(21,1),(48,1),(57,1),(61,1),(109,1),(150,1)}
        39:{2,6,7}:{(20,1),(22,1)}
        40:{1,2,5,7}:{(21,1),(22,1),(23,1),(59,1),(61,1),(62,1),(154,1)}
        41:{2,3,5,6}:{(23,1),(50,1),(60,1),(62,1),(63,1),(100,1),(111,1),(147,1),(149,1),(157,1),(158,1)}
        42:{2,3,5}:{(26,1),(32,1),(64,1),(67,1),(72,1)}
        43:{4,5,6}:{(33,1),(68,1),(167,1)}
        44:{3,4,6}:{(24,1),(68,1),(69,1),(70,1),(124,1),(167,1)}
        45:{1,4,5,7}:{(24,1),(25,1),(27,1),(35,1),(69,1),(81,1),(127,1),(159,1)}
        46:{2,4,5,7}:{(24,1),(26,1),(36,1),(66,1),(70,1),(82,1),(128,1),(160,1)}
        47:{1,2,4,5}:{(25,1),(26,1),(28,1),(37,1),(67,1),(72,1),(75,1),(88,1),(122,1),(132,1)}
        48:{1,3,6}:{(27,1),(69,1),(73,1),(124,1),(173,1)}
        49:{1,2,5,7}:{(27,1),(28,1),(29,1),(73,1),(74,1),(169,1),(190,1)}
        50:{2,3,5}:{(28,1),(30,1),(72,1),(75,1)}
        51:{2,3,7}:{(29,1),(30,1),(84,1),(206,1)}
        52:{2,4,5,7}:{(31,1),(33,1),(65,1),(76,1),(82,1),(128,1)}
        53:{3,6,7}:{(31,1),(76,1),(77,1)}
        54:{2,3,7}:{(32,1),(36,1),(79,1),(84,1)}
        55:{1,2,6}:{(32,1),(67,1),(79,1),(80,1)}
        56:{3,5,7}:{(33,1),(34,1),(68,1),(81,1),(82,1)}
        57:{1,4,6,7}:{(34,1),(35,1),(38,1),(69,1),(77,1),(81,1),(127,1)}
        58:{2,4,6,7}:{(34,1),(36,1),(39,1),(70,1),(78,1),(82,1),(128,1)}
        59:{1,2,4,7}:{(35,1),(36,1),(37,1),(40,1),(79,1),(84,1),(87,1),(131,1)}
        60:{3,6}:{(37,1),(72,1),(84,1)}
        61:{1,2,6,7}:{(38,1),(39,1),(40,1),(73,1),(86,1),(169,1),(173,1)}
        62:{2,3,5,7}:{(40,1),(41,1),(84,1),(86,1),(87,1),(133,1),(135,1),(136,1)}
        63:{2,4,6}:{(41,1),(75,1),(85,1),(87,1),(88,1),(167,1)}
        64:{2,3,4}:{(42,1),(90,1),(99,1)}
        65:{2,4,5,6}:{(43,1),(52,1),(91,1),(96,1),(143,1)}
        66:{2,3,5,7}:{(42,1),(46,1),(54,1),(89,1),(92,1),(93,1),(98,1),(139,1),(204,1)}
        67:{1,2,5}:{(42,1),(55,1),(90,1),(94,1)}
        68:{3,5,6}:{(43,1),(44,1),(56,1),(95,1),(96,1)}
        69:{1,4,6}:{(44,1),(45,1),(48,1),(95,1)}
        70:{2,4,6}:{(44,1),(46,1),(92,1),(96,1)}
        71:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(49,1),(59,1),(93,1),(97,1),(98,1),(101,1),(108,1),(113,1),(146,1),(149,1),(151,1),(154,1),(155,1),(177,1),(182,1),(183,1),(186,1),(204,1)}
        72:{3,5}:{(47,1),(60,1),(99,1)}
        73:{1,2,6}:{(48,1),(49,1),(100,1)}
        74:{2,3,5,7}:{(49,1),(50,1),(51,1),(98,1),(100,1),(101,1),(149,1),(184,1),(200,1),(204,1)}
        75:{2,4}:{(50,1),(99,1)}
        76:{3,5,7}:{(52,1),(53,1),(91,1),(102,1),(103,1)}
        77:{1,6,7}:{(53,1),(103,1)}
        78:{2,3,6,7}:{(53,1),(54,1),(58,1),(92,1),(104,1),(105,1),(109,1)}
        79:{1,2,7}:{(54,1),(55,1),(106,1)}
        80:{1,3,6}:{(55,1),(60,1),(94,1),(106,1),(107,1)}
        81:{1,5,7}:{(56,1),(57,1),(95,1)}
        82:{2,5,7}:{(56,1),(58,1),(96,1)}
        83:{1,2,4,6,7}:{(57,1),(58,1),(59,1),(61,1),(97,1),(105,1),(108,1),(109,1),(112,1),(151,1),(153,1),(155,1)}
        84:{3,7}:{(59,1),(60,1)}
        85:{3,4,6}:{(60,1),(63,1),(99,1),(107,1),(110,1),(111,1),(157,1)}
        86:{2,3,6,7}:{(61,1),(62,1),(100,1),(109,1),(112,1),(157,1),(184,1)}
        87:{2,4,7}:{(62,1),(63,1),(110,1),(155,1)}
        88:{2,4,5}:{(63,1),(111,1),(149,1),(183,1)}
        89:{2,3,4,7}:{(64,1),(66,1),(114,1),(115,1),(125,1),(128,1),(170,1),(196,1)}
        90:{1,2,4}:{(64,1),(67,1),(116,1),(122,1)}
        91:{3,5,6}:{(65,1),(76,1),(117,1),(118,1)}
        92:{2,3,6}:{(66,1),(70,1),(120,1),(124,1),(209,1)}
        93:{1,2,5,7}:{(66,1),(67,1),(79,1),(115,1),(120,1),(121,1),(161,1)}
        94:{1,3,5}:{(67,1),(72,1),(80,1),(116,1),(122,1),(132,1)}
        95:{1,5,6}:{(68,1),(69,1),(81,1)}
        96:{2,5,6}:{(68,1),(70,1),(82,1)}
        97:{1,2,4,6}:{(69,1),(70,1),(71,1),(73,1),(120,1),(123,1),(124,1),(126,1),(137,1),(166,1),(167,1),(173,1),(198,1),(209,1)}
        98:{3,5,7}:{(71,1),(72,1),(84,1),(124,1),(125,1),(168,1),(170,1),(191,1)}
        99:{3,4}:{(72,1),(75,1),(122,1)}
       100:{2,3,6}:{(73,1),(74,1),(124,1),(126,1),(209,1)}
       101:{2,4,7}:{(74,1),(75,1),(125,1),(126,1),(207,1)}
       102:{3,4,7}:{(76,1),(117,1),(127,1),(128,1),(170,1)}
       103:{1,5,7}:{(76,1),(77,1),(118,1),(127,1)}
       104:{2,3,5,7}:{(76,1),(78,1),(82,1),(119,1),(128,1),(129,1),(133,1),(170,1)}
       105:{1,2,6,7}:{(77,1),(78,1),(79,1),(120,1),(129,1),(130,1),(209,1)}
       106:{1,3,7}:{(79,1),(80,1),(84,1),(131,1)}
       107:{1,4,6}:{(80,1),(85,1),(122,1),(131,1),(132,1),(173,1)}
       108:{1,2,5,7}:{(81,1),(82,1),(83,1),(123,1),(133,1),(136,1),(172,1)}
       109:{3,6,7}:{(83,1),(84,1),(124,1),(133,1),(170,1)}
       110:{3,4,7}:{(84,1),(85,1),(87,1),(131,1),(135,1)}
       111:{3,5}:{(85,1),(88,1),(132,1)}
       112:{2,4,6,7}:{(86,1),(87,1),(126,1),(134,1),(136,1),(137,1),(196,1),(209,1)}
       113:{2,4,5,7}:{(87,1),(88,1),(135,1),(136,1),(137,1),(174,1)}
       114:{2,3,4,6}:{(89,1),(92,1),(139,1),(140,1),(143,1),(148,1),(180,1),(201,1),(202,1)}
       115:{1,2,4,7}:{(89,1),(90,1),(93,1),(140,1),(141,1),(146,1)}
       116:{1,3}:{(90,1)}
       117:{3,4,6}:{(91,1),(102,1),(138,1),(142,1),(143,1),(180,1)}
       118:{1,5,6}:{(91,1),(103,1),(142,1)}
       119:{2,3,5,6}:{(91,1),(92,1),(96,1),(104,1),(139,1),(143,1),(144,1),(147,1),(180,1)}
       120:{1,2,6}:{(92,1),(93,1),(145,1)}
       121:{1,3,5,7}:{(93,1),(94,1),(98,1),(106,1),(141,1),(145,1),(146,1),(154,1),(178,1),(182,1)}
       122:{1,4}:{(94,1),(99,1)}
       123:{1,2,5,6}:{(95,1),(96,1),(97,1),(108,1),(147,1),(149,1),(158,1),(182,1),(187,1)}
       124:{3,6}:{(97,1),(98,1)}
       125:{3,4,7}:{(98,1),(99,1),(101,1),(146,1),(148,1),(155,1),(201,1)}
       126:{2,4,6}:{(100,1),(101,1),(148,1),(149,1)}
       127:{1,4,7}:{(102,1),(103,1),(142,1),(150,1)}
       128:{2,4,7}:{(102,1),(104,1),(143,1),(155,1)}
       129:{1,2,5,7}:{(103,1),(104,1),(105,1),(144,1),(151,1),(152,1),(204,1)}
       130:{1,3,6,7}:{(105,1),(106,1),(109,1),(145,1),(152,1),(153,1),(205,1)}
       131:{1,4,7}:{(106,1),(107,1),(110,1),(154,1)}
       132:{1,5}:{(107,1),(111,1)}
       133:{3,5,7}:{(108,1),(109,1),(147,1),(155,1)}
       134:{3,4,6,7}:{(109,1),(110,1),(112,1),(148,1),(153,1),(155,1),(156,1),(157,1),(185,1),(188,1),(205,1)}
       135:{3,5,7}:{(110,1),(111,1),(113,1),(154,1),(157,1)}
       136:{2,5,7}:{(112,1),(149,1),(156,1),(158,1)}
       137:{2,4,6}:{(113,1),(157,1),(158,1),(188,1)}
       138:{3,4,5}:{(117,1),(159,1),(160,1),(191,1)}
       139:{2,3,5}:{(114,1),(160,1),(161,1),(168,1),(191,1),(208,1)}
       140:{1,2,4,6}:{(114,1),(115,1),(120,1),(161,1),(162,1),(166,1),(192,1)}
       141:{1,3,7}:{(115,1),(116,1),(162,1),(170,1)}
       142:{1,4,6}:{(117,1),(118,1),(127,1),(159,1),(163,1)}
       143:{2,4,6}:{(117,1),(119,1),(128,1),(160,1),(167,1)}
       144:{1,2,5,6}:{(118,1),(119,1),(120,1),(129,1),(161,1),(164,1),(165,1),(208,1),(209,1)}
       145:{1,3,6}:{(120,1),(121,1),(124,1),(166,1),(173,1)}
       146:{1,4,7}:{(121,1),(122,1),(125,1),(166,1),(192,1)}
       147:{3,5,6}:{(123,1),(124,1),(133,1),(167,1),(168,1)}
       148:{3,4,6}:{(124,1),(125,1),(126,1),(166,1),(167,1),(168,1)}
       149:{2,5}:{(126,1),(168,1)}
       150:{1,3,7}:{(127,1),(163,1),(169,1),(170,1)}
       151:{1,2,4,7}:{(127,1),(128,1),(129,1),(164,1),(169,1),(170,1),(171,1),(196,1)}
       152:{1,3,5,7}:{(129,1),(130,1),(133,1),(165,1),(170,1),(171,1),(172,1),(197,1)}
       153:{1,4,6,7}:{(130,1),(131,1),(134,1),(166,1),(171,1),(172,1),(173,1),(198,1)}
       154:{1,5,7}:{(131,1),(132,1),(135,1),(173,1)}
       155:{4,7}:{(133,1),(167,1)}
       156:{3,5,7}:{(134,1),(136,1),(168,1),(172,1),(174,1),(175,1)}
       157:{3,6}:{(135,1),(137,1),(173,1)}
       158:{2,5,6}:{(136,1),(137,1),(175,1),(209,1)}
       159:{1,4,5}:{(138,1),(142,1),(176,1)}
       160:{2,4,5}:{(138,1),(139,1),(143,1),(183,1)}
       161:{1,2,5}:{(139,1),(140,1),(178,1),(182,1)}
       162:{1,3,6}:{(140,1),(141,1),(178,1),(180,1)}
       163:{1,3,6}:{(142,1),(150,1),(176,1),(179,1),(180,1)}
       164:{1,2,4,6}:{(142,1),(143,1),(144,1),(151,1),(177,1),(179,1),(180,1),(181,1),(202,1)}
       165:{1,3,5,6}:{(144,1),(145,1),(147,1),(152,1),(178,1),(180,1),(181,1),(182,1),(187,1),(203,1),(205,1)}
       166:{1,4,6}:{(145,1),(146,1),(148,1),(182,1)}
       167:{4,6}:{(147,1),(155,1),(183,1)}
       168:{3,5}:{(148,1),(149,1),(182,1),(183,1)}
       169:{1,2,7}:{(150,1),(179,1),(184,1)}
       170:{3,7}:{(151,1),(180,1)}
       171:{1,4,7}:{(152,1),(155,1),(181,1),(185,1)}
       172:{1,5,7}:{(153,1),(156,1),(182,1),(187,1)}
       173:{1,6}:{(154,1),(157,1)}
       174:{4,5,7}:{(155,1),(156,1),(183,1),(188,1)}
       175:{3,5,6}:{(156,1),(157,1),(158,1),(187,1),(188,1),(205,1)}
       176:{1,3,5}:{(159,1),(163,1),(189,1),(190,1),(191,1)}
       177:{1,2,4,5}:{(159,1),(160,1),(161,1),(164,1),(190,1),(191,1),(192,1),(195,1),(207,1),(208,1)}
       178:{1,3,5}:{(161,1),(162,1),(191,1),(192,1)}
       179:{1,2,6}:{(163,1),(169,1),(190,1),(193,1)}
       180:{3,6}:{(164,1),(170,1),(191,1)}
       181:{1,4,6}:{(165,1),(167,1),(171,1),(192,1),(194,1),(195,1)}
       182:{1,5}:{(166,1),(168,1)}
       183:{4,5}:{(167,1),(168,1)}
       184:{2,3,7}:{(169,1),(170,1),(193,1),(196,1)}
       185:{3,4,7}:{(170,1),(171,1),(194,1),(196,1),(197,1)}
       186:{1,4,5,7}:{(171,1),(172,1),(174,1),(195,1),(197,1),(198,1)}
       187:{1,5,6}:{(172,1),(173,1),(175,1),(198,1)}
       188:{4,6}:{(174,1),(175,1)}
       189:{1,3,4}:{(176,1),(199,1),(201,1)}
       190:{1,2,5}:{(176,1),(179,1),(199,1),(200,1)}
       191:{3,5}:{(177,1),(180,1),(201,1)}
       192:{1,4}:{(178,1),(201,1)}
       193:{2,3,6}:{(179,1),(180,1),(184,1),(200,1),(202,1)}
       194:{3,4,6}:{(180,1),(181,1),(185,1),(201,1),(202,1),(203,1),(205,1)}
       195:{1,4,5}:{(181,1),(182,1),(183,1),(203,1)}
       196:{2,4,7}:{(184,1),(185,1),(202,1),(204,1)}
       197:{3,5,7}:{(185,1),(186,1),(203,1),(204,1),(205,1)}
       198:{1,4,6}:{(186,1),(187,1),(188,1),(205,1)}
       199:{1,2,4}:{(189,1),(190,1),(206,1),(207,1)}
       200:{2,3,5}:{(190,1),(191,1),(193,1),(206,1),(207,1),(208,1)}
       201:{3,4}:{(191,1),(192,1),(207,1)}
       202:{2,4,6}:{(193,1),(194,1),(196,1),(207,1),(208,1),(209,1)}
       203:{3,5}:{(194,1),(195,1),(208,1)}
       204:{2,5,7}:{(196,1),(197,1),(208,1),(209,1)}
       205:{3,6}:{(197,1),(198,1),(209,1)}
       206:{2,3}:{(199,1)}
       207:{2,4}:{(200,1),(201,1)}
       208:{2,5}:{(202,1),(203,1)}
       209:{2,6}:{(204,1),(205,1)}

 599 :   0:{2,4,5,6}:{(2,1),(3,1),(19,1),(43,1),(96,1)}
         1:{2,5,6,7}:{(5,1),(7,1),(78,1),(82,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(8,1),(33,1),(36,1),(82,1)}
         3:{3,5,6}:{(0,1),(6,1),(8,1),(9,1)}
         4:{2,3,4,6}:{(12,1),(13,1),(14,1),(19,1),(48,1),(60,1),(99,1),(107,1),(148,1)}
         5:{3,5,6,7}:{(1,1),(15,1),(16,1),(20,1),(53,1),(56,1)}
         6:{3,4,6}:{(3,1),(11,1),(17,1),(18,1),(19,1),(60,1)}
         7:{2,4,6,7}:{(1,1),(2,1),(16,1),(20,1)}
         8:{3,5,7}:{(2,1),(3,1),(17,1),(20,1),(21,1)}
         9:{1,5,6}:{(3,1),(18,1),(21,1)}
        10:{2,3,5,6}:{(3,1),(12,1),(19,1),(22,1),(23,1),(48,1),(60,1),(96,1),(147,1)}
        11:{3,4,5}:{(6,1),(25,1),(26,1),(72,1)}
        12:{2,3,5}:{(4,1),(26,1),(28,1),(72,1),(132,1),(168,1)}
        13:{2,3,4,7}:{(4,1),(27,1),(29,1),(36,1),(84,1),(125,1),(131,1),(189,1)}
        14:{1,2,4,6}:{(4,1),(28,1),(29,1),(30,1),(73,1),(75,1),(126,1)}
        15:{1,5,6,7}:{(5,1),(31,1),(38,1),(81,1)}
        16:{4,6,7}:{(5,1),(33,1)}
        17:{3,4,7}:{(6,1),(8,1),(35,1),(36,1),(84,1)}
        18:{1,4,6}:{(6,1),(9,1),(25,1),(32,1),(35,1)}
        19:{2,4,6}:{(6,1),(10,1),(26,1),(36,1),(167,1)}
        20:{3,6,7}:{(7,1),(8,1),(38,1)}
        21:{1,5,7}:{(8,1),(9,1),(35,1),(38,1)}
        22:{2,3,5,7}:{(8,1),(10,1),(36,1),(39,1),(40,1),(82,1),(84,1),(133,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(28,1),(37,1),(40,1),(41,1),(73,1),(132,1),(173,1)}
        24:{3,4,5,7}:{(11,1),(17,1),(44,1),(45,1),(46,1),(56,1),(98,1),(102,1),(138,1),(155,1),(183,1)}
        25:{1,4,5}:{(11,1),(18,1),(42,1)}
        26:{2,4,5}:{(11,1),(12,1),(19,1),(183,1)}
        27:{2,3,5,7}:{(12,1),(13,1),(46,1),(48,1),(49,1),(98,1),(150,1),(154,1),(176,1)}
        28:{1,2,5}:{(12,1),(14,1),(50,1),(149,1)}
        29:{1,2,4,7}:{(13,1),(14,1),(49,1),(51,1),(101,1),(199,1)}
        30:{1,3,6}:{(14,1),(50,1),(51,1),(60,1)}
        31:{1,4,6,7}:{(15,1),(16,1),(52,1),(53,1)}
        32:{1,3,6}:{(18,1),(42,1),(54,1),(55,1),(60,1)}
        33:{4,5,7}:{(16,1),(43,1),(56,1),(155,1)}
        34:{3,4,6,7}:{(16,1),(17,1),(20,1),(44,1),(53,1),(56,1),(57,1),(58,1),(102,1),(109,1),(155,1)}
        35:{1,4,7}:{(17,1),(18,1),(21,1),(54,1)}
        36:{2,4,7}:{(17,1),(19,1),(22,1),(155,1)}
        37:{1,2,4,6}:{(18,1),(19,1),(23,1),(47,1),(55,1),(59,1),(60,1),(63,1),(107,1)}
        38:{1,6,7}:{(20,1),(21,1)}
        39:{2,3,6,7}:{(20,1),(22,1),(48,1),(58,1),(61,1),(109,1),(150,1)}
        40:{1,2,5,7}:{(21,1),(22,1),(23,1),(59,1),(61,1),(62,1),(154,1)}
        41:{1,3,5,6}:{(23,1),(50,1),(60,1),(62,1),(63,1),(100,1),(111,1),(147,1),(149,1),(157,1),(158,1)}
        42:{1,3,5}:{(25,1),(32,1),(64,1),(67,1),(72,1)}
        43:{4,5,6}:{(33,1),(68,1),(167,1)}
        44:{3,4,6}:{(24,1),(68,1),(69,1),(70,1),(124,1),(167,1)}
        45:{1,4,5,7}:{(24,1),(25,1),(35,1),(66,1),(69,1),(81,1),(127,1),(159,1)}
        46:{2,4,5,7}:{(24,1),(26,1),(27,1),(36,1),(70,1),(82,1),(128,1),(160,1)}
        47:{1,2,4,5}:{(25,1),(26,1),(28,1),(37,1),(67,1),(72,1),(75,1),(88,1),(122,1),(132,1)}
        48:{2,3,6}:{(27,1),(70,1),(73,1),(124,1),(173,1)}
        49:{1,2,5,7}:{(27,1),(28,1),(29,1),(73,1),(74,1),(169,1),(190,1)}
        50:{1,3,5}:{(28,1),(30,1),(72,1),(75,1)}
        51:{1,3,7}:{(29,1),(30,1),(84,1),(206,1)}
        52:{1,4,5,7}:{(31,1),(33,1),(65,1),(76,1),(81,1),(127,1)}
        53:{3,6,7}:{(31,1),(76,1),(78,1)}
        54:{1,3,7}:{(32,1),(35,1),(79,1),(84,1)}
        55:{1,2,6}:{(32,1),(67,1),(79,1),(80,1)}
        56:{3,5,7}:{(33,1),(34,1),(68,1),(81,1),(82,1)}
        57:{1,4,6,7}:{(34,1),(35,1),(38,1),(69,1),(77,1),(81,1),(127,1)}
        58:{2,4,6,7}:{(34,1),(36,1),(39,1),(70,1),(78,1),(82,1),(128,1)}
        59:{1,2,4,7}:{(35,1),(36,1),(37,1),(40,1),(79,1),(84,1),(87,1),(131,1)}
        60:{3,6}:{(37,1),(72,1),(84,1)}
        61:{1,2,6,7}:{(38,1),(39,1),(40,1),(73,1),(86,1),(169,1),(173,1)}
        62:{1,3,5,7}:{(40,1),(41,1),(84,1),(86,1),(87,1),(133,1),(135,1),(136,1)}
        63:{1,4,6}:{(41,1),(75,1),(85,1),(87,1),(88,1),(167,1)}
        64:{1,3,4}:{(42,1),(90,1),(99,1)}
        65:{1,4,5,6}:{(43,1),(52,1),(91,1),(95,1),(142,1)}
        66:{1,3,5,7}:{(42,1),(45,1),(54,1),(89,1),(92,1),(93,1),(98,1),(139,1),(204,1)}
        67:{1,2,5}:{(42,1),(55,1),(90,1),(94,1)}
        68:{3,5,6}:{(43,1),(44,1),(56,1),(95,1),(96,1)}
        69:{1,4,6}:{(44,1),(45,1),(92,1),(95,1)}
        70:{2,4,6}:{(44,1),(46,1),(48,1),(96,1)}
        71:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(49,1),(59,1),(93,1),(97,1),(98,1),(101,1),(108,1),(113,1),(146,1),(149,1),(151,1),(154,1),(155,1),(177,1),(182,1),(183,1),(186,1),(204,1)}
        72:{3,5}:{(47,1),(60,1),(99,1)}
        73:{1,2,6}:{(48,1),(49,1),(100,1)}
        74:{1,3,5,7}:{(49,1),(50,1),(51,1),(98,1),(100,1),(101,1),(149,1),(184,1),(200,1),(204,1)}
        75:{1,4}:{(50,1),(99,1)}
        76:{3,5,7}:{(52,1),(53,1),(91,1),(102,1),(104,1)}
        77:{1,3,6,7}:{(53,1),(54,1),(57,1),(92,1),(103,1),(105,1),(109,1)}
        78:{2,6,7}:{(53,1),(104,1)}
        79:{1,2,7}:{(54,1),(55,1),(106,1)}
        80:{2,3,6}:{(55,1),(60,1),(94,1),(106,1),(107,1)}
        81:{1,5,7}:{(56,1),(57,1),(95,1)}
        82:{2,5,7}:{(56,1),(58,1),(96,1)}
        83:{1,2,4,6,7}:{(57,1),(58,1),(59,1),(61,1),(97,1),(105,1),(108,1),(109,1),(112,1),(151,1),(153,1),(155,1)}
        84:{3,7}:{(59,1),(60,1)}
        85:{3,4,6}:{(60,1),(63,1),(99,1),(107,1),(110,1),(111,1),(157,1)}
        86:{1,3,6,7}:{(61,1),(62,1),(100,1),(109,1),(112,1),(157,1),(184,1)}
        87:{1,4,7}:{(62,1),(63,1),(110,1),(155,1)}
        88:{1,4,5}:{(63,1),(111,1),(149,1),(183,1)}
        89:{1,3,4,7}:{(64,1),(66,1),(114,1),(115,1),(125,1),(127,1),(170,1),(196,1)}
        90:{1,2,4}:{(64,1),(67,1),(116,1),(122,1)}
        91:{3,5,6}:{(65,1),(76,1),(117,1),(119,1)}
        92:{1,3,6}:{(66,1),(69,1),(120,1),(124,1),(209,1)}
        93:{1,2,5,7}:{(66,1),(67,1),(79,1),(115,1),(120,1),(121,1),(161,1)}
        94:{2,3,5}:{(67,1),(72,1),(80,1),(116,1),(122,1),(132,1)}
        95:{1,5,6}:{(68,1),(69,1),(81,1)}
        96:{2,5,6}:{(68,1),(70,1),(82,1)}
        97:{1,2,4,6}:{(69,1),(70,1),(71,1),(73,1),(120,1),(123,1),(124,1),(126,1),(137,1),(166,1),(167,1),(173,1),(198,1),(209,1)}
        98:{3,5,7}:{(71,1),(72,1),(84,1),(124,1),(125,1),(168,1),(170,1),(191,1)}
        99:{3,4}:{(72,1),(75,1),(122,1)}
       100:{1,3,6}:{(73,1),(74,1),(124,1),(126,1),(209,1)}
       101:{1,4,7}:{(74,1),(75,1),(125,1),(126,1),(207,1)}
       102:{3,4,7}:{(76,1),(117,1),(127,1),(128,1),(170,1)}
       103:{1,3,5,7}:{(76,1),(77,1),(81,1),(118,1),(127,1),(129,1),(133,1),(170,1)}
       104:{2,5,7}:{(76,1),(78,1),(119,1),(128,1)}
       105:{1,2,6,7}:{(77,1),(78,1),(79,1),(120,1),(129,1),(130,1),(209,1)}
       106:{2,3,7}:{(79,1),(80,1),(84,1),(131,1)}
       107:{2,4,6}:{(80,1),(85,1),(122,1),(131,1),(132,1),(173,1)}
       108:{1,2,5,7}:{(81,1),(82,1),(83,1),(123,1),(133,1),(136,1),(172,1)}
       109:{3,6,7}:{(83,1),(84,1),(124,1),(133,1),(170,1)}
       110:{3,4,7}:{(84,1),(85,1),(87,1),(131,1),(135,1)}
       111:{3,5}:{(85,1),(88,1),(132,1)}
       112:{1,4,6,7}:{(86,1),(87,1),(126,1),(134,1),(136,1),(137,1),(196,1),(209,1)}
       113:{1,4,5,7}:{(87,1),(88,1),(135,1),(136,1),(137,1),(174,1)}
       114:{1,3,4,6}:{(89,1),(92,1),(139,1),(140,1),(142,1),(148,1),(180,1),(201,1),(202,1)}
       115:{1,2,4,7}:{(89,1),(90,1),(93,1),(140,1),(141,1),(146,1)}
       116:{2,3}:{(90,1)}
       117:{3,4,6}:{(91,1),(102,1),(138,1),(142,1),(143,1),(180,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(95,1),(103,1),(139,1),(142,1),(144,1),(147,1),(180,1)}
       119:{2,5,6}:{(91,1),(104,1),(143,1)}
       120:{1,2,6}:{(92,1),(93,1),(145,1)}
       121:{2,3,5,7}:{(93,1),(94,1),(98,1),(106,1),(141,1),(145,1),(146,1),(154,1),(178,1),(182,1)}
       122:{2,4}:{(94,1),(99,1)}
       123:{1,2,5,6}:{(95,1),(96,1),(97,1),(108,1),(147,1),(149,1),(158,1),(182,1),(187,1)}
       124:{3,6}:{(97,1),(98,1)}
       125:{3,4,7}:{(98,1),(99,1),(101,1),(146,1),(148,1),(155,1),(201,1)}
       126:{1,4,6}:{(100,1),(101,1),(148,1),(149,1)}
       127:{1,4,7}:{(102,1),(103,1),(142,1),(155,1)}
       128:{2,4,7}:{(102,1),(104,1),(143,1),(150,1)}
       129:{1,2,5,7}:{(103,1),(104,1),(105,1),(144,1),(151,1),(152,1),(204,1)}
       130:{2,3,6,7}:{(105,1),(106,1),(109,1),(145,1),(152,1),(153,1),(205,1)}
       131:{2,4,7}:{(106,1),(107,1),(110,1),(154,1)}
       132:{2,5}:{(107,1),(111,1)}
       133:{3,5,7}:{(108,1),(109,1),(147,1),(155,1)}
       134:{3,4,6,7}:{(109,1),(110,1),(112,1),(148,1),(153,1),(155,1),(156,1),(157,1),(185,1),(188,1),(205,1)}
       135:{3,5,7}:{(110,1),(111,1),(113,1),(154,1),(157,1)}
       136:{1,5,7}:{(112,1),(149,1),(156,1),(158,1)}
       137:{1,4,6}:{(113,1),(157,1),(158,1),(188,1)}
       138:{3,4,5}:{(117,1),(159,1),(160,1),(191,1)}
       139:{1,3,5}:{(114,1),(159,1),(161,1),(168,1),(191,1),(208,1)}
       140:{1,2,4,6}:{(114,1),(115,1),(120,1),(161,1),(162,1),(166,1),(192,1)}
       141:{2,3,7}:{(115,1),(116,1),(162,1),(170,1)}
       142:{1,4,6}:{(117,1),(118,1),(127,1),(159,1),(167,1)}
       143:{2,4,6}:{(117,1),(119,1),(128,1),(160,1),(163,1)}
       144:{1,2,5,6}:{(118,1),(119,1),(120,1),(129,1),(161,1),(164,1),(165,1),(208,1),(209,1)}
       145:{2,3,6}:{(120,1),(121,1),(124,1),(166,1),(173,1)}
       146:{2,4,7}:{(121,1),(122,1),(125,1),(166,1),(192,1)}
       147:{3,5,6}:{(123,1),(124,1),(133,1),(167,1),(168,1)}
       148:{3,4,6}:{(124,1),(125,1),(126,1),(166,1),(167,1),(168,1)}
       149:{1,5}:{(126,1),(168,1)}
       150:{2,3,7}:{(128,1),(163,1),(169,1),(170,1)}
       151:{1,2,4,7}:{(127,1),(128,1),(129,1),(164,1),(169,1),(170,1),(171,1),(196,1)}
       152:{2,3,5,7}:{(129,1),(130,1),(133,1),(165,1),(170,1),(171,1),(172,1),(197,1)}
       153:{2,4,6,7}:{(130,1),(131,1),(134,1),(166,1),(171,1),(172,1),(173,1),(198,1)}
       154:{2,5,7}:{(131,1),(132,1),(135,1),(173,1)}
       155:{4,7}:{(133,1),(167,1)}
       156:{3,5,7}:{(134,1),(136,1),(168,1),(172,1),(174,1),(175,1)}
       157:{3,6}:{(135,1),(137,1),(173,1)}
       158:{1,5,6}:{(136,1),(137,1),(175,1),(209,1)}
       159:{1,4,5}:{(138,1),(139,1),(142,1),(183,1)}
       160:{2,4,5}:{(138,1),(143,1),(176,1)}
       161:{1,2,5}:{(139,1),(140,1),(178,1),(182,1)}
       162:{2,3,6}:{(140,1),(141,1),(178,1),(180,1)}
       163:{2,3,6}:{(143,1),(150,1),(176,1),(179,1),(180,1)}
       164:{1,2,4,6}:{(142,1),(143,1),(144,1),(151,1),(177,1),(179,1),(180,1),(181,1),(202,1)}
       165:{2,3,5,6}:{(144,1),(145,1),(147,1),(152,1),(178,1),(180,1),(181,1),(182,1),(187,1),(203,1),(205,1)}
       166:{2,4,6}:{(145,1),(146,1),(148,1),(182,1)}
       167:{4,6}:{(147,1),(155,1),(183,1)}
       168:{3,5}:{(148,1),(149,1),(182,1),(183,1)}
       169:{1,2,7}:{(150,1),(179,1),(184,1)}
       170:{3,7}:{(151,1),(180,1)}
       171:{2,4,7}:{(152,1),(155,1),(181,1),(185,1)}
       172:{2,5,7}:{(153,1),(156,1),(182,1),(187,1)}
       173:{2,6}:{(154,1),(157,1)}
       174:{4,5,7}:{(155,1),(156,1),(183,1),(188,1)}
       175:{3,5,6}:{(156,1),(157,1),(158,1),(187,1),(188,1),(205,1)}
       176:{2,3,5}:{(160,1),(163,1),(189,1),(190,1),(191,1)}
       177:{1,2,4,5}:{(159,1),(160,1),(161,1),(164,1),(190,1),(191,1),(192,1),(195,1),(207,1),(208,1)}
       178:{2,3,5}:{(161,1),(162,1),(191,1),(192,1)}
       179:{1,2,6}:{(163,1),(169,1),(190,1),(193,1)}
       180:{3,6}:{(164,1),(170,1),(191,1)}
       181:{2,4,6}:{(165,1),(167,1),(171,1),(192,1),(194,1),(195,1)}
       182:{2,5}:{(166,1),(168,1)}
       183:{4,5}:{(167,1),(168,1)}
       184:{1,3,7}:{(169,1),(170,1),(193,1),(196,1)}
       185:{3,4,7}:{(170,1),(171,1),(194,1),(196,1),(197,1)}
       186:{2,4,5,7}:{(171,1),(172,1),(174,1),(195,1),(197,1),(198,1)}
       187:{2,5,6}:{(172,1),(173,1),(175,1),(198,1)}
       188:{4,6}:{(174,1),(175,1)}
       189:{2,3,4}:{(176,1),(199,1),(201,1)}
       190:{1,2,5}:{(176,1),(179,1),(199,1),(200,1)}
       191:{3,5}:{(177,1),(180,1),(201,1)}
       192:{2,4}:{(178,1),(201,1)}
       193:{1,3,6}:{(179,1),(180,1),(184,1),(200,1),(202,1)}
       194:{3,4,6}:{(180,1),(181,1),(185,1),(201,1),(202,1),(203,1),(205,1)}
       195:{2,4,5}:{(181,1),(182,1),(183,1),(203,1)}
       196:{1,4,7}:{(184,1),(185,1),(202,1),(204,1)}
       197:{3,5,7}:{(185,1),(186,1),(203,1),(204,1),(205,1)}
       198:{2,4,6}:{(186,1),(187,1),(188,1),(205,1)}
       199:{1,2,4}:{(189,1),(190,1),(206,1),(207,1)}
       200:{1,3,5}:{(190,1),(191,1),(193,1),(206,1),(207,1),(208,1)}
       201:{3,4}:{(191,1),(192,1),(207,1)}
       202:{1,4,6}:{(193,1),(194,1),(196,1),(207,1),(208,1),(209,1)}
       203:{3,5}:{(194,1),(195,1),(208,1)}
       204:{1,5,7}:{(196,1),(197,1),(208,1),(209,1)}
       205:{3,6}:{(197,1),(198,1),(209,1)}
       206:{1,3}:{(199,1)}
       207:{1,4}:{(200,1),(201,1)}
       208:{1,5}:{(202,1),(203,1)}
       209:{1,6}:{(204,1),(205,1)}

 600 :   0:{3,4,5,6}:{(1,1),(2,1),(3,1),(16,1),(148,1),(160,1),(204,1)}
         1:{1,4,5,6}:{(0,1),(4,1),(7,1),(167,1),(212,1)}
         2:{2,4,5,6}:{(0,1),(5,1),(8,1),(173,1),(215,1)}
         3:{3,4,5,7}:{(0,1),(7,1),(8,1),(9,1),(34,1),(129,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(12,1),(13,1),(16,1),(136,1),(196,1)}
         5:{2,3,5,6}:{(2,1),(11,1),(14,1),(15,1),(16,1),(142,1),(201,1)}
         6:{1,2,4,5,6}:{(1,1),(2,1),(12,1),(14,1),(16,1),(17,1),(46,1),(49,1),(89,1),(153,1),(156,1),(158,1),(160,1)}
         7:{1,4,5,7}:{(1,1),(3,1),(13,1),(18,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(15,1),(19,1)}
         9:{3,4,6,7}:{(3,1),(18,1),(19,1),(20,1),(54,1),(101,1),(204,1)}
        10:{1,3,4,6}:{(4,1),(21,1),(23,1),(24,1),(33,1)}
        11:{2,3,4,6}:{(5,1),(22,1),(25,1),(26,1),(33,1)}
        12:{1,2,5,6}:{(4,1),(23,1),(27,1),(28,1),(107,1),(171,1)}
        13:{1,3,5,7}:{(4,1),(7,1),(24,1),(28,1),(29,1),(34,1)}
        14:{1,2,5,6}:{(5,1),(25,1),(30,1),(31,1),(112,1),(177,1)}
        15:{2,3,5,7}:{(5,1),(8,1),(26,1),(31,1),(32,1),(34,1)}
        16:{3,5,6}:{(6,1),(33,1),(34,1),(116,1),(182,1)}
        17:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(28,1),(31,1),(34,1),(35,1),(67,1),(70,1),(123,1),(126,1),(129,1)}
        18:{1,4,6,7}:{(7,1),(9,1),(29,1),(36,1),(212,1)}
        19:{2,4,6,7}:{(8,1),(9,1),(32,1),(37,1),(215,1)}
        20:{3,5,6,7}:{(9,1),(36,1),(37,1),(38,1),(218,1)}
        21:{1,3,4,5}:{(10,1),(39,1),(52,1),(130,1),(136,1)}
        22:{2,3,4,5}:{(11,1),(40,1),(52,1),(133,1),(142,1)}
        23:{1,2,4,6}:{(10,1),(12,1),(39,1),(41,1),(42,1),(46,1)}
        24:{1,3,4,7}:{(10,1),(13,1),(42,1),(53,1)}
        25:{1,2,4,6}:{(11,1),(14,1),(40,1),(43,1),(44,1),(49,1)}
        26:{2,3,4,7}:{(11,1),(15,1),(44,1),(53,1)}
        27:{2,3,5,6}:{(12,1),(16,1),(41,1),(46,1),(47,1),(82,1),(141,1),(156,1)}
        28:{1,2,5,7}:{(12,1),(13,1),(42,1),(47,1),(48,1)}
        29:{1,3,6,7}:{(13,1),(18,1),(48,1),(54,1),(196,1)}
        30:{1,3,5,6}:{(14,1),(16,1),(43,1),(49,1),(50,1),(86,1),(147,1),(158,1)}
        31:{1,2,5,7}:{(14,1),(15,1),(44,1),(50,1),(51,1)}
        32:{2,3,6,7}:{(15,1),(19,1),(51,1),(54,1),(201,1)}
        33:{3,4,6}:{(16,1),(46,1),(49,1),(52,1),(53,1)}
        34:{3,5,7}:{(16,1),(17,1),(53,1),(54,1)}
        35:{1,2,4,6,7}:{(17,1),(18,1),(19,1),(48,1),(51,1),(54,1),(55,1),(94,1),(97,1),(101,1),(153,1)}
        36:{1,5,6,7}:{(18,1),(20,1),(222,1)}
        37:{2,5,6,7}:{(19,1),(20,1),(224,1)}
        38:{4,5,6,7}:{(20,1),(101,1),(226,1)}
        39:{1,2,4,5}:{(21,1),(23,1),(56,1),(66,1),(102,1),(107,1)}
        40:{1,2,4,5}:{(22,1),(25,1),(57,1),(69,1),(104,1),(112,1)}
        41:{2,3,6}:{(23,1),(56,1),(60,1)}
        42:{1,2,4,7}:{(23,1),(24,1),(28,1),(60,1),(67,1)}
        43:{1,3,6}:{(25,1),(57,1),(63,1)}
        44:{1,2,4,7}:{(25,1),(26,1),(31,1),(63,1),(70,1)}
        45:{1,2,3,5,6}:{(27,1),(30,1),(58,1),(61,1),(64,1),(65,1),(107,1),(112,1),(116,1),(168,1),(171,1),(174,1),(177,1),(182,1),(185,1)}
        46:{2,4,6}:{(27,1),(33,1),(66,1),(67,1)}
        47:{2,3,5,7}:{(27,1),(28,1),(34,1),(60,1),(67,1),(68,1),(123,1)}
        48:{1,2,6,7}:{(28,1),(29,1),(68,1),(171,1)}
        49:{1,4,6}:{(30,1),(33,1),(69,1),(70,1)}
        50:{1,3,5,7}:{(30,1),(31,1),(34,1),(63,1),(70,1),(71,1),(126,1)}
        51:{1,2,6,7}:{(31,1),(32,1),(71,1),(177,1)}
        52:{3,4,5}:{(33,1),(66,1),(69,1),(116,1)}
        53:{3,4,7}:{(33,1),(34,1),(67,1),(70,1)}
        54:{3,6,7}:{(34,1),(35,1),(182,1)}
        55:{1,2,5,6,7}:{(35,1),(36,1),(37,1),(75,1),(123,1),(126,1),(185,1)}
        56:{2,3,5}:{(39,1),(41,1),(77,1)}
        57:{1,3,5}:{(40,1),(43,1),(79,1)}
        58:{1,2,3,6}:{(41,1),(76,1),(80,1),(81,1),(189,1)}
        59:{2,3,4,6}:{(41,1),(46,1),(77,1),(80,1),(82,1),(83,1),(88,1),(141,1)}
        60:{2,3,7}:{(41,1),(42,1)}
        61:{1,2,3,6}:{(43,1),(78,1),(84,1),(85,1),(191,1)}
        62:{1,3,4,6}:{(43,1),(49,1),(79,1),(84,1),(86,1),(87,1),(88,1),(147,1)}
        63:{1,3,7}:{(43,1),(44,1)}
        64:{1,2,4,6}:{(45,1),(46,1),(49,1),(88,1),(89,1),(90,1),(193,1),(198,1)}
        65:{1,2,3,5,7}:{(45,1),(47,1),(50,1),(81,1),(85,1),(90,1),(91,1),(139,1),(145,1),(150,1),(154,1),(195,1),(200,1)}
        66:{2,4,5}:{(46,1),(52,1),(82,1)}
        67:{2,4,7}:{(46,1),(47,1),(53,1)}
        68:{2,3,6,7}:{(47,1),(48,1),(54,1),(94,1),(141,1)}
        69:{1,4,5}:{(49,1),(52,1),(86,1)}
        70:{1,4,7}:{(49,1),(50,1),(53,1)}
        71:{1,3,6,7}:{(50,1),(51,1),(54,1),(97,1),(147,1)}
        72:{3,4,5,6}:{(52,1),(92,1),(95,1),(98,1),(99,1),(149,1),(226,1)}
        73:{3,4,5,7}:{(52,1),(53,1),(93,1),(96,1),(99,1),(100,1),(150,1),(207,1)}
        74:{3,4,6,7}:{(53,1),(54,1),(94,1),(97,1),(99,1),(100,1),(101,1)}
        75:{3,5,6,7}:{(54,1),(55,1),(100,1),(101,1),(206,1)}
        76:{1,2,3,5}:{(56,1),(58,1),(102,1),(107,1),(161,1)}
        77:{2,3,4}:{(56,1),(102,1)}
        78:{1,2,3,5}:{(57,1),(61,1),(104,1),(112,1),(164,1)}
        79:{1,3,4}:{(57,1),(104,1)}
        80:{1,2,4,6}:{(58,1),(59,1),(102,1),(106,1),(107,1),(108,1),(171,1)}
        81:{1,2,3,7}:{(58,1),(60,1),(108,1),(209,1)}
        82:{2,3,5}:{(59,1),(66,1),(107,1),(116,1)}
        83:{2,3,4,7}:{(59,1),(60,1),(67,1),(108,1),(110,1),(117,1)}
        84:{1,2,4,6}:{(61,1),(62,1),(104,1),(111,1),(112,1),(113,1),(177,1)}
        85:{1,2,3,7}:{(61,1),(63,1),(113,1),(210,1)}
        86:{1,3,5}:{(62,1),(69,1),(112,1),(116,1)}
        87:{1,3,4,7}:{(62,1),(63,1),(70,1),(113,1),(115,1),(117,1)}
        88:{3,4,6}:{(64,1),(116,1),(117,1),(182,1)}
        89:{1,2,4,5}:{(64,1),(66,1),(69,1),(107,1),(112,1),(116,1),(167,1),(173,1)}
        90:{1,2,4,7}:{(64,1),(65,1),(67,1),(70,1),(117,1),(211,1),(214,1)}
        91:{1,2,3,6,7}:{(65,1),(68,1),(71,1),(120,1),(171,1),(177,1),(182,1),(213,1),(216,1)}
        92:{2,4,5,6}:{(66,1),(72,1),(109,1),(121,1),(122,1)}
        93:{2,4,5,7}:{(66,1),(67,1),(73,1),(110,1),(122,1),(123,1)}
        94:{2,4,6,7}:{(67,1),(68,1),(74,1),(122,1),(123,1)}
        95:{1,4,5,6}:{(69,1),(72,1),(114,1),(124,1),(125,1)}
        96:{1,4,5,7}:{(69,1),(70,1),(73,1),(115,1),(125,1),(126,1)}
        97:{1,4,6,7}:{(70,1),(71,1),(74,1),(125,1),(126,1)}
        98:{3,4,5,7}:{(72,1),(121,1),(124,1),(127,1),(181,1),(230,1)}
        99:{3,4,6}:{(73,1),(122,1),(125,1),(128,1),(182,1),(220,1)}
       100:{3,5,7}:{(74,1),(123,1),(126,1),(128,1),(129,1)}
       101:{4,6,7}:{(75,1),(129,1),(220,1)}
       102:{1,2,4}:{(76,1),(77,1),(130,1)}
       103:{2,3,4,5}:{(77,1),(82,1),(131,1),(132,1),(148,1)}
       104:{1,2,4}:{(78,1),(79,1),(133,1)}
       105:{1,3,4,5}:{(79,1),(86,1),(134,1),(135,1),(148,1)}
       106:{1,3,4,6}:{(80,1),(88,1),(130,1),(136,1),(137,1),(189,1),(193,1),(196,1)}
       107:{1,2,5}:{(80,1),(82,1),(136,1)}
       108:{1,2,4,7}:{(80,1),(81,1),(83,1),(137,1),(139,1)}
       109:{2,3,5,6}:{(82,1),(92,1),(132,1),(138,1),(140,1),(141,1),(149,1)}
       110:{2,3,5,7}:{(82,1),(83,1),(93,1),(139,1),(141,1),(150,1)}
       111:{2,3,4,6}:{(84,1),(88,1),(133,1),(142,1),(143,1),(191,1),(198,1),(201,1)}
       112:{1,2,5}:{(84,1),(86,1),(142,1)}
       113:{1,2,4,7}:{(84,1),(85,1),(87,1),(143,1),(145,1)}
       114:{1,3,5,6}:{(86,1),(95,1),(135,1),(144,1),(146,1),(147,1),(149,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(96,1),(145,1),(147,1),(150,1)}
       116:{3,5}:{(88,1),(89,1)}
       117:{3,4,7}:{(88,1),(90,1),(150,1)}
       118:{1,2,4,5,6}:{(89,1),(92,1),(95,1),(138,1),(144,1),(149,1),(152,1),(153,1),(193,1),(198,1),(222,1),(224,1),(226,1)}
       119:{1,2,4,5,7}:{(89,1),(90,1),(93,1),(96,1),(139,1),(145,1),(150,1),(153,1),(154,1),(194,1),(199,1),(207,1)}
       120:{1,2,4,6,7}:{(90,1),(91,1),(94,1),(97,1),(151,1),(153,1),(154,1),(221,1),(223,1)}
       121:{2,4,5,7}:{(92,1),(98,1),(140,1),(155,1)}
       122:{2,4,6}:{(93,1),(99,1),(141,1),(156,1)}
       123:{2,5,7}:{(94,1),(100,1),(156,1)}
       124:{1,4,5,7}:{(95,1),(98,1),(146,1),(157,1)}
       125:{1,4,6}:{(96,1),(99,1),(147,1),(158,1)}
       126:{1,5,7}:{(97,1),(100,1),(158,1)}
       127:{3,4,6,7}:{(98,1),(99,1),(155,1),(157,1),(159,1),(205,1),(227,1)}
       128:{3,5,6}:{(99,1),(100,1),(156,1),(158,1),(160,1)}
       129:{4,5,7}:{(100,1),(101,1),(160,1)}
       130:{1,3,4}:{(102,1),(161,1)}
       131:{1,2,4,5}:{(102,1),(103,1),(107,1),(161,1),(162,1),(167,1)}
       132:{2,3,4,6}:{(103,1),(109,1),(162,1),(163,1),(179,1)}
       133:{2,3,4}:{(104,1),(164,1)}
       134:{1,2,4,5}:{(104,1),(105,1),(112,1),(164,1),(165,1),(173,1)}
       135:{1,3,4,6}:{(105,1),(114,1),(165,1),(166,1),(179,1)}
       136:{1,3,5}:{(106,1),(107,1),(116,1),(167,1)}
       137:{1,3,4,7}:{(106,1),(108,1),(117,1),(169,1),(209,1),(211,1)}
       138:{1,2,5,6}:{(107,1),(109,1),(162,1),(168,1),(170,1),(171,1)}
       139:{1,2,5,7}:{(107,1),(108,1),(110,1),(169,1),(171,1)}
       140:{2,3,5,7}:{(109,1),(121,1),(163,1),(170,1),(172,1),(181,1)}
       141:{2,3,6}:{(110,1),(122,1),(171,1),(182,1)}
       142:{2,3,5}:{(111,1),(112,1),(116,1),(173,1)}
       143:{2,3,4,7}:{(111,1),(113,1),(117,1),(175,1),(210,1),(214,1)}
       144:{1,2,5,6}:{(112,1),(114,1),(165,1),(174,1),(176,1),(177,1)}
       145:{1,2,5,7}:{(112,1),(113,1),(115,1),(175,1),(177,1)}
       146:{1,3,5,7}:{(114,1),(124,1),(166,1),(176,1),(178,1),(181,1)}
       147:{1,3,6}:{(115,1),(125,1),(177,1),(182,1)}
       148:{3,4,5}:{(116,1),(167,1),(173,1),(179,1)}
       149:{3,5,6}:{(116,1),(118,1),(179,1),(181,1),(182,1)}
       150:{3,5,7}:{(116,1),(117,1),(119,1),(182,1)}
       151:{3,4,6,7}:{(117,1),(120,1),(182,1),(183,1),(220,1)}
       152:{1,2,4,5,7}:{(118,1),(121,1),(124,1),(170,1),(176,1),(181,1),(184,1),(211,1),(214,1),(228,1),(229,1),(230,1)}
       153:{1,2,4,6}:{(119,1),(122,1),(125,1),(171,1),(177,1),(182,1),(185,1),(212,1),(215,1),(220,1)}
       154:{1,2,5,7}:{(120,1),(123,1),(126,1),(183,1),(185,1),(228,1),(229,1)}
       155:{2,4,6,7}:{(121,1),(122,1),(127,1),(172,1),(186,1)}
       156:{2,5,6}:{(122,1),(123,1),(128,1)}
       157:{1,4,6,7}:{(124,1),(125,1),(127,1),(178,1),(187,1)}
       158:{1,5,6}:{(125,1),(126,1),(128,1)}
       159:{3,5,6,7}:{(127,1),(128,1),(186,1),(187,1),(188,1)}
       160:{4,5,6}:{(128,1),(129,1),(220,1)}
       161:{1,3,5}:{(130,1),(131,1),(189,1)}
       162:{1,2,4,6}:{(131,1),(132,1),(138,1),(189,1),(190,1),(193,1)}
       163:{2,3,4,7}:{(132,1),(140,1),(190,1),(203,1)}
       164:{2,3,5}:{(133,1),(134,1),(191,1)}
       165:{1,2,4,6}:{(134,1),(135,1),(144,1),(191,1),(192,1),(198,1)}
       166:{1,3,4,7}:{(135,1),(146,1),(192,1),(203,1)}
       167:{1,4,5}:{(136,1),(148,1),(193,1)}
       168:{1,3,5,6}:{(136,1),(138,1),(149,1),(189,1),(193,1),(195,1),(196,1),(222,1)}
       169:{1,3,5,7}:{(136,1),(137,1),(139,1),(150,1),(194,1),(196,1)}
       170:{1,2,5,7}:{(138,1),(140,1),(190,1),(195,1),(197,1)}
       171:{1,2,6}:{(139,1),(141,1),(196,1)}
       172:{2,3,6,7}:{(140,1),(141,1),(155,1),(197,1),(205,1)}
       173:{2,4,5}:{(142,1),(148,1),(198,1)}
       174:{2,3,5,6}:{(142,1),(144,1),(149,1),(191,1),(198,1),(200,1),(201,1),(224,1)}
       175:{2,3,5,7}:{(142,1),(143,1),(145,1),(150,1),(199,1),(201,1)}
       176:{1,2,5,7}:{(144,1),(146,1),(192,1),(200,1),(202,1)}
       177:{1,2,6}:{(145,1),(147,1),(201,1)}
       178:{1,3,6,7}:{(146,1),(147,1),(157,1),(202,1),(205,1)}
       179:{3,4,6}:{(148,1),(149,1),(193,1),(198,1),(203,1)}
       180:{3,4,5,7}:{(148,1),(150,1),(194,1),(199,1),(203,1),(204,1),(207,1),(225,1)}
       181:{3,5,7}:{(149,1),(152,1),(203,1),(205,1)}
       182:{3,6}:{(150,1),(153,1)}
       183:{3,5,7}:{(151,1),(154,1),(206,1),(207,1)}
       184:{1,2,4,6,7}:{(152,1),(153,1),(155,1),(157,1),(197,1),(202,1),(205,1),(208,1),(221,1),(223,1),(227,1)}
       185:{1,2,5,6}:{(153,1),(154,1),(156,1),(158,1),(206,1),(222,1),(224,1)}
       186:{2,5,6,7}:{(155,1),(156,1),(159,1)}
       187:{1,5,6,7}:{(157,1),(158,1),(159,1)}
       188:{4,5,6,7}:{(159,1),(160,1),(227,1)}
       189:{1,3,6}:{(161,1),(162,1),(209,1)}
       190:{1,2,4,7}:{(162,1),(163,1),(170,1),(209,1),(211,1)}
       191:{2,3,6}:{(164,1),(165,1),(210,1)}
       192:{1,2,4,7}:{(165,1),(166,1),(176,1),(210,1),(214,1)}
       193:{1,4,6}:{(167,1),(168,1),(179,1),(211,1)}
       194:{1,4,5,7}:{(167,1),(169,1),(180,1),(211,1),(212,1),(228,1)}
       195:{1,3,5,7}:{(168,1),(170,1),(181,1),(209,1),(211,1),(213,1),(228,1)}
       196:{1,3,6}:{(169,1),(171,1),(182,1),(212,1)}
       197:{1,2,6,7}:{(170,1),(171,1),(172,1),(213,1)}
       198:{2,4,6}:{(173,1),(174,1),(179,1),(214,1)}
       199:{2,4,5,7}:{(173,1),(175,1),(180,1),(214,1),(215,1),(229,1)}
       200:{2,3,5,7}:{(174,1),(176,1),(181,1),(210,1),(214,1),(216,1),(229,1)}
       201:{2,3,6}:{(175,1),(177,1),(182,1),(215,1)}
       202:{1,2,6,7}:{(176,1),(177,1),(178,1),(216,1)}
       203:{3,4,7}:{(179,1),(181,1),(211,1),(214,1)}
       204:{3,4,6}:{(180,1),(182,1),(212,1),(215,1),(218,1),(220,1)}
       205:{3,6,7}:{(181,1),(182,1),(184,1)}
       206:{3,5,6}:{(182,1),(183,1),(185,1),(220,1)}
       207:{4,5,7}:{(183,1),(220,1)}
       208:{1,2,5,6,7}:{(184,1),(185,1),(186,1),(187,1),(219,1),(228,1),(229,1)}
       209:{1,3,7}:{(189,1),(190,1)}
       210:{2,3,7}:{(191,1),(192,1)}
       211:{1,4,7}:{(193,1),(195,1),(203,1)}
       212:{1,4,6}:{(194,1),(196,1),(204,1),(222,1)}
       213:{1,3,6,7}:{(195,1),(196,1),(197,1),(205,1),(221,1)}
       214:{2,4,7}:{(198,1),(200,1),(203,1)}
       215:{2,4,6}:{(199,1),(201,1),(204,1),(224,1)}
       216:{2,3,6,7}:{(200,1),(201,1),(202,1),(205,1),(223,1)}
       217:{3,4,6,7}:{(203,1),(204,1),(205,1),(221,1),(223,1),(225,1),(227,1)}
       218:{3,5,6}:{(204,1),(222,1),(224,1),(225,1),(226,1)}
       219:{3,5,6,7}:{(205,1),(206,1),(208,1),(225,1),(227,1)}
       220:{4,6}:{(206,1),(207,1)}
       221:{1,4,6,7}:{(211,1),(212,1),(213,1),(217,1),(228,1)}
       222:{1,5,6}:{(212,1),(218,1),(228,1)}
       223:{2,4,6,7}:{(214,1),(215,1),(216,1),(217,1),(229,1)}
       224:{2,5,6}:{(215,1),(218,1),(229,1)}
       225:{3,5,7}:{(217,1),(218,1),(228,1),(229,1),(230,1)}
       226:{4,5,6}:{(218,1),(220,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(225,1)}
       229:{2,5,7}:{(223,1),(224,1),(225,1)}
       230:{4,5,7}:{(225,1),(226,1),(227,1)}

 601 :  0:{1,2,6,7}:{(3,1),(5,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(38,1),(39,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(17,1),(23,1),(24,1),(25,1),(38,1),(39,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{3,5,6}:{(1,1),(9,1),(10,1),(12,1),(26,1),(28,1),(45,1)}
        5:{1,2,5,7}:{(0,1),(1,1),(9,1),(11,1),(46,1),(47,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(12,1),(30,1),(31,1),(34,1)}
        7:{3,5}:{(2,1),(12,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(18,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(18,1),(20,1)}
       10:{4,6}:{(4,1),(17,1),(18,1)}
       11:{1,2,4,7}:{(5,1),(6,1),(18,1),(20,1),(40,1),(41,1),(43,1)}
       12:{3,6}:{(6,1),(7,1),(20,1)}
       13:{3,4}:{(7,1),(23,1),(24,1),(44,1)}
       14:{1,3,5}:{(7,1),(21,1),(23,1),(25,1),(38,1),(44,1),(54,1)}
       15:{2,3,5}:{(7,1),(22,1),(24,1),(25,1),(39,1),(44,1),(54,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,5}:{(10,1),(28,1),(58,1)}
       18:{4,7}:{(9,1),(10,1)}
       19:{3,4,6}:{(10,1),(12,1),(13,1),(28,1),(29,1),(30,1),(31,1),(45,1),(50,1),(58,1),(61,1)}
       20:{3,7}:{(11,1),(12,1)}
       21:{1,3,6}:{(12,1),(14,1),(30,1),(32,1),(34,1),(50,1)}
       22:{2,3,6}:{(12,1),(15,1),(31,1),(33,1),(34,1),(50,1)}
       23:{1,4}:{(13,1),(14,1),(58,1)}
       24:{2,4}:{(13,1),(15,1),(58,1)}
       25:{1,2,5}:{(14,1),(15,1),(34,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(18,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,5}:{(17,1),(19,1),(38,1),(39,1),(62,1)}
       29:{3,4,7}:{(18,1),(19,1),(20,1),(37,1),(40,1),(41,1),(55,1),(60,1)}
       30:{1,4,6}:{(19,1),(21,1),(23,1),(38,1),(40,1),(51,1)}
       31:{2,4,6}:{(19,1),(22,1),(24,1),(39,1),(41,1),(52,1)}
       32:{1,3,7}:{(20,1),(21,1),(40,1),(43,1),(55,1)}
       33:{2,3,7}:{(20,1),(22,1),(41,1),(43,1),(55,1)}
       34:{1,2,6}:{(21,1),(22,1),(25,1),(43,1)}
       35:{1,2,4}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(45,1),(46,1),(47,1)}
       38:{1,5}:{(28,1),(30,1)}
       39:{2,5}:{(28,1),(31,1)}
       40:{1,4,7}:{(29,1),(30,1),(32,1),(46,1)}
       41:{2,4,7}:{(29,1),(31,1),(33,1),(47,1)}
       42:{1,2,4,6}:{(30,1),(31,1),(34,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       43:{1,2,7}:{(32,1),(33,1),(34,1)}
       44:{3}:{(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(40,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(41,1),(52,1)}
       48:{1,2,5}:{(38,1),(39,1),(42,1),(54,1),(62,1)}
       49:{1,2,4,7}:{(40,1),(41,1),(42,1),(43,1),(53,1),(55,1),(60,1)}
       50:{3,6}:{(42,1),(44,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,5}:{(48,1),(50,1),(58,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(54,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 602 :   0:{3,5,6,7}:{(2,1),(3,1),(4,1),(24,1),(26,1),(27,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(8,1),(27,1),(39,1),(66,1),(70,1),(74,1),(78,1),(138,1),(148,1)}
         2:{1,5,6,7}:{(0,1),(9,1),(48,1),(50,1)}
         3:{2,5,6,7}:{(0,1),(10,1),(46,1),(51,1)}
         4:{4,6,7}:{(0,1),(11,1)}
         5:{4,5,6}:{(11,1),(17,1),(122,1)}
         6:{3,4,6}:{(1,1),(17,1),(18,1),(19,1),(64,1),(122,1)}
         7:{1,4,5,7}:{(1,1),(14,1),(18,1),(50,1),(96,1),(100,1),(104,1),(108,1)}
         8:{2,4,5,7}:{(1,1),(16,1),(19,1),(51,1),(97,1),(101,1),(105,1),(109,1)}
         9:{1,4,6,7}:{(2,1),(4,1),(23,1),(24,1)}
        10:{2,4,6,7}:{(3,1),(4,1),(25,1),(26,1)}
        11:{4,5,7}:{(4,1),(5,1),(27,1),(138,1)}
        12:{3,4,6,7}:{(4,1),(6,1),(24,1),(26,1),(27,1),(28,1),(29,1),(74,1),(78,1),(83,1),(138,1)}
        13:{1,4,5,6}:{(5,1),(23,1),(30,1),(36,1),(84,1)}
        14:{1,3,5,7}:{(7,1),(21,1),(31,1),(32,1),(39,1),(67,1),(127,1),(134,1),(204,1)}
        15:{2,4,5,6}:{(5,1),(25,1),(33,1),(37,1),(90,1)}
        16:{2,3,5,7}:{(8,1),(22,1),(34,1),(35,1),(39,1),(71,1),(124,1),(130,1),(206,1)}
        17:{3,5,6}:{(5,1),(6,1),(27,1),(36,1),(37,1)}
        18:{1,4,6}:{(6,1),(7,1),(31,1),(36,1)}
        19:{2,4,6}:{(6,1),(8,1),(34,1),(37,1)}
        20:{1,2,4,5,7}:{(7,1),(8,1),(32,1),(35,1),(38,1),(39,1),(82,1),(88,1),(93,1),(125,1),(128,1),(131,1),(135,1),(138,1),(143,1),(147,1),(148,1),(181,1),(185,1),(204,1),(206,1)}
        21:{1,3,4,7}:{(14,1),(40,1),(41,1),(65,1),(104,1),(153,1),(158,1),(196,1)}
        22:{2,3,4,7}:{(16,1),(42,1),(43,1),(65,1),(109,1),(149,1),(162,1),(199,1)}
        23:{1,4,5,7}:{(9,1),(11,1),(13,1),(44,1),(50,1),(104,1)}
        24:{3,6,7}:{(9,1),(44,1),(46,1)}
        25:{2,4,5,7}:{(10,1),(11,1),(15,1),(47,1),(51,1),(109,1)}
        26:{3,6,7}:{(10,1),(47,1),(48,1)}
        27:{3,5,7}:{(11,1),(12,1),(17,1),(50,1),(51,1)}
        28:{1,4,6,7}:{(12,1),(18,1),(45,1),(48,1),(50,1),(104,1),(108,1)}
        29:{2,4,6,7}:{(12,1),(19,1),(46,1),(49,1),(51,1),(105,1),(109,1)}
        30:{3,5,6}:{(13,1),(44,1),(53,1),(55,1)}
        31:{1,3,6}:{(14,1),(18,1),(56,1),(64,1),(208,1)}
        32:{1,2,5,7}:{(14,1),(41,1),(56,1),(57,1),(98,1),(154,1),(161,1)}
        33:{3,5,6}:{(15,1),(47,1),(58,1),(59,1)}
        34:{2,3,6}:{(16,1),(19,1),(61,1),(64,1),(209,1)}
        35:{1,2,5,7}:{(16,1),(43,1),(61,1),(62,1),(102,1),(150,1),(157,1)}
        36:{1,5,6}:{(17,1),(18,1),(50,1)}
        37:{2,5,6}:{(17,1),(19,1),(51,1)}
        38:{1,2,4,6}:{(18,1),(19,1),(20,1),(56,1),(61,1),(63,1),(64,1),(117,1),(121,1),(122,1),(198,1),(201,1),(208,1),(209,1)}
        39:{3,5,7}:{(20,1),(64,1),(65,1),(123,1),(151,1),(155,1),(158,1),(162,1)}
        40:{1,3,4,6}:{(21,1),(31,1),(67,1),(68,1),(84,1),(95,1),(141,1),(175,1),(188,1)}
        41:{1,2,4,7}:{(21,1),(32,1),(68,1),(69,1),(88,1),(176,1)}
        42:{2,3,4,6}:{(22,1),(34,1),(71,1),(72,1),(90,1),(95,1),(145,1),(178,1),(190,1)}
        43:{1,2,4,7}:{(22,1),(35,1),(72,1),(73,1),(93,1),(173,1)}
        44:{3,5,7}:{(23,1),(24,1),(30,1),(74,1),(76,1)}
        45:{1,3,6,7}:{(24,1),(28,1),(31,1),(75,1),(77,1),(83,1),(134,1)}
        46:{2,6,7}:{(24,1),(76,1)}
        47:{3,5,7}:{(25,1),(26,1),(33,1),(78,1),(79,1)}
        48:{1,6,7}:{(26,1),(79,1)}
        49:{2,3,6,7}:{(26,1),(29,1),(34,1),(80,1),(81,1),(83,1),(130,1)}
        50:{1,5,7}:{(27,1),(28,1),(36,1)}
        51:{2,5,7}:{(27,1),(29,1),(37,1)}
        52:{1,2,4,6,7}:{(28,1),(29,1),(38,1),(77,1),(81,1),(82,1),(83,1),(131,1),(133,1),(135,1),(137,1),(138,1)}
        53:{3,4,6}:{(30,1),(66,1),(74,1),(84,1),(85,1),(141,1)}
        54:{1,3,5,6}:{(30,1),(31,1),(36,1),(67,1),(75,1),(84,1),(86,1),(94,1),(141,1)}
        55:{2,5,6}:{(30,1),(76,1),(85,1)}
        56:{1,2,6}:{(31,1),(32,1),(87,1)}
        57:{2,3,5,7}:{(32,1),(39,1),(69,1),(87,1),(88,1),(126,1),(143,1),(177,1),(183,1),(206,1)}
        58:{3,4,6}:{(33,1),(70,1),(78,1),(89,1),(90,1),(145,1)}
        59:{1,5,6}:{(33,1),(79,1),(89,1)}
        60:{2,3,5,6}:{(33,1),(34,1),(37,1),(71,1),(80,1),(90,1),(91,1),(94,1),(145,1)}
        61:{1,2,6}:{(34,1),(35,1),(92,1)}
        62:{1,3,5,7}:{(35,1),(39,1),(73,1),(92,1),(93,1),(129,1),(147,1),(174,1),(179,1),(204,1)}
        63:{1,2,5,6}:{(36,1),(37,1),(38,1),(82,1),(94,1),(143,1),(147,1),(182,1),(186,1)}
        64:{3,6}:{(38,1),(39,1)}
        65:{3,4,7}:{(39,1),(88,1),(93,1),(95,1),(138,1),(175,1),(178,1)}
        66:{3,4,5}:{(53,1),(96,1),(97,1),(151,1)}
        67:{1,3,5}:{(40,1),(96,1),(98,1),(123,1),(151,1),(202,1)}
        68:{1,2,4,6}:{(40,1),(41,1),(56,1),(98,1),(99,1),(117,1),(152,1)}
        69:{2,3,7}:{(41,1),(99,1),(158,1),(194,1)}
        70:{3,4,5}:{(58,1),(100,1),(101,1),(155,1)}
        71:{2,3,5}:{(42,1),(101,1),(102,1),(123,1),(155,1),(203,1)}
        72:{1,2,4,6}:{(42,1),(43,1),(61,1),(102,1),(103,1),(121,1),(156,1)}
        73:{1,3,7}:{(43,1),(103,1),(162,1),(192,1)}
        74:{3,4,7}:{(44,1),(53,1),(104,1),(105,1),(158,1)}
        75:{1,3,5,7}:{(44,1),(45,1),(50,1),(54,1),(104,1),(106,1),(112,1),(158,1)}
        76:{2,5,7}:{(44,1),(46,1),(55,1),(105,1)}
        77:{1,2,6,7}:{(45,1),(46,1),(56,1),(106,1),(107,1),(161,1),(208,1)}
        78:{3,4,7}:{(47,1),(58,1),(108,1),(109,1),(162,1)}
        79:{1,5,7}:{(47,1),(48,1),(59,1),(108,1)}
        80:{2,3,5,7}:{(47,1),(49,1),(51,1),(60,1),(109,1),(110,1),(112,1),(162,1)}
        81:{1,2,6,7}:{(48,1),(49,1),(61,1),(110,1),(111,1),(157,1),(209,1)}
        82:{1,2,5,7}:{(50,1),(51,1),(52,1),(63,1),(112,1),(160,1),(164,1)}
        83:{3,6,7}:{(52,1),(64,1),(112,1),(158,1),(162,1)}
        84:{1,4,6}:{(53,1),(54,1),(96,1),(104,1),(122,1)}
        85:{2,4,6}:{(53,1),(55,1),(97,1),(105,1),(114,1)}
        86:{1,2,5,6}:{(54,1),(55,1),(56,1),(98,1),(106,1),(115,1),(116,1),(202,1),(208,1)}
        87:{2,3,6}:{(56,1),(57,1),(64,1),(117,1),(209,1)}
        88:{2,4,7}:{(57,1),(65,1),(117,1),(152,1),(195,1)}
        89:{1,4,6}:{(58,1),(59,1),(100,1),(108,1),(118,1)}
        90:{2,4,6}:{(58,1),(60,1),(101,1),(109,1),(122,1)}
        91:{1,2,5,6}:{(59,1),(60,1),(61,1),(102,1),(110,1),(119,1),(120,1),(203,1),(209,1)}
        92:{1,3,6}:{(61,1),(62,1),(64,1),(121,1),(208,1)}
        93:{1,4,7}:{(62,1),(65,1),(121,1),(156,1),(193,1)}
        94:{3,5,6}:{(63,1),(64,1),(112,1),(122,1),(123,1)}
        95:{3,4,6}:{(64,1),(65,1),(117,1),(121,1),(122,1),(123,1)}
        96:{1,4,5}:{(66,1),(67,1),(84,1),(148,1)}
        97:{2,4,5}:{(66,1),(85,1),(124,1)}
        98:{1,2,5}:{(67,1),(68,1),(126,1),(143,1)}
        99:{2,3,6}:{(68,1),(69,1),(126,1),(141,1)}
       100:{1,4,5}:{(70,1),(89,1),(127,1)}
       101:{2,4,5}:{(70,1),(71,1),(90,1),(148,1)}
       102:{1,2,5}:{(71,1),(72,1),(129,1),(147,1)}
       103:{1,3,6}:{(72,1),(73,1),(129,1),(145,1)}
       104:{1,4,7}:{(74,1),(75,1),(84,1),(138,1)}
       105:{2,4,7}:{(74,1),(76,1),(85,1),(130,1)}
       106:{1,2,5,7}:{(75,1),(76,1),(77,1),(86,1),(131,1),(132,1),(204,1)}
       107:{2,3,6,7}:{(77,1),(83,1),(87,1),(132,1),(133,1),(183,1),(205,1)}
       108:{1,4,7}:{(78,1),(79,1),(89,1),(134,1)}
       109:{2,4,7}:{(78,1),(80,1),(90,1),(138,1)}
       110:{1,2,5,7}:{(79,1),(80,1),(81,1),(91,1),(135,1),(136,1),(206,1)}
       111:{1,3,6,7}:{(81,1),(83,1),(92,1),(136,1),(137,1),(179,1),(207,1)}
       112:{3,5,7}:{(82,1),(83,1),(94,1),(138,1)}
       113:{3,4,6,7}:{(83,1),(95,1),(133,1),(137,1),(138,1),(139,1),(180,1),(184,1),(187,1),(205,1),(207,1)}
       114:{2,3,6}:{(85,1),(124,1),(130,1),(140,1),(141,1)}
       115:{1,2,4,6}:{(84,1),(85,1),(86,1),(125,1),(131,1),(140,1),(141,1),(142,1),(188,1)}
       116:{2,3,5,6}:{(86,1),(87,1),(94,1),(126,1),(132,1),(141,1),(142,1),(143,1),(182,1),(189,1),(205,1)}
       117:{2,4,6}:{(87,1),(88,1),(95,1),(143,1)}
       118:{1,3,6}:{(89,1),(127,1),(134,1),(144,1),(145,1)}
       119:{1,2,4,6}:{(89,1),(90,1),(91,1),(128,1),(135,1),(144,1),(145,1),(146,1),(190,1)}
       120:{1,3,5,6}:{(91,1),(92,1),(94,1),(129,1),(136,1),(145,1),(146,1),(147,1),(186,1),(191,1),(207,1)}
       121:{1,4,6}:{(92,1),(93,1),(95,1),(147,1)}
       122:{4,6}:{(94,1),(138,1),(148,1)}
       123:{3,5}:{(95,1),(143,1),(147,1),(148,1)}
       124:{2,3,5}:{(97,1),(114,1),(149,1),(150,1),(151,1)}
       125:{1,2,4,5}:{(96,1),(97,1),(98,1),(115,1),(150,1),(151,1),(152,1),(169,1),(193,1),(202,1)}
       126:{2,3,5}:{(98,1),(99,1),(151,1),(152,1)}
       127:{1,3,5}:{(100,1),(118,1),(153,1),(154,1),(155,1)}
       128:{1,2,4,5}:{(100,1),(101,1),(102,1),(119,1),(154,1),(155,1),(156,1),(172,1),(195,1),(203,1)}
       129:{1,3,5}:{(102,1),(103,1),(155,1),(156,1)}
       130:{2,3,7}:{(105,1),(114,1),(157,1),(158,1)}
       131:{1,2,4,7}:{(104,1),(105,1),(106,1),(115,1),(157,1),(158,1),(159,1),(196,1)}
       132:{2,3,5,7}:{(106,1),(107,1),(112,1),(116,1),(158,1),(159,1),(160,1),(197,1)}
       133:{2,4,6,7}:{(107,1),(113,1),(117,1),(159,1),(160,1),(198,1),(199,1),(209,1)}
       134:{1,3,7}:{(108,1),(118,1),(161,1),(162,1)}
       135:{1,2,4,7}:{(108,1),(109,1),(110,1),(119,1),(161,1),(162,1),(163,1),(199,1)}
       136:{1,3,5,7}:{(110,1),(111,1),(112,1),(120,1),(162,1),(163,1),(164,1),(200,1)}
       137:{1,4,6,7}:{(111,1),(113,1),(121,1),(163,1),(164,1),(196,1),(201,1),(208,1)}
       138:{4,7}:{(112,1),(122,1)}
       139:{3,5,7}:{(113,1),(123,1),(160,1),(164,1),(165,1),(166,1)}
       140:{1,2,6}:{(114,1),(150,1),(157,1),(167,1)}
       141:{3,6}:{(115,1),(151,1),(158,1)}
       142:{2,4,6}:{(116,1),(122,1),(152,1),(159,1),(168,1),(169,1)}
       143:{2,5}:{(117,1),(123,1)}
       144:{1,2,6}:{(118,1),(154,1),(161,1),(170,1)}
       145:{3,6}:{(119,1),(155,1),(162,1)}
       146:{1,4,6}:{(120,1),(122,1),(156,1),(163,1),(171,1),(172,1)}
       147:{1,5}:{(121,1),(123,1)}
       148:{4,5}:{(122,1),(123,1)}
       149:{2,3,4}:{(124,1),(173,1),(175,1)}
       150:{1,2,5}:{(124,1),(140,1),(173,1),(174,1)}
       151:{3,5}:{(125,1),(141,1),(175,1)}
       152:{2,4}:{(126,1),(175,1)}
       153:{1,3,4}:{(127,1),(176,1),(178,1)}
       154:{1,2,5}:{(127,1),(144,1),(176,1),(177,1)}
       155:{3,5}:{(128,1),(145,1),(178,1)}
       156:{1,4}:{(129,1),(178,1)}
       157:{1,2,7}:{(130,1),(140,1),(179,1)}
       158:{3,7}:{(131,1),(141,1)}
       159:{2,4,7}:{(132,1),(138,1),(142,1),(180,1)}
       160:{2,5,7}:{(133,1),(139,1),(143,1),(182,1)}
       161:{1,2,7}:{(134,1),(144,1),(183,1)}
       162:{3,7}:{(135,1),(145,1)}
       163:{1,4,7}:{(136,1),(138,1),(146,1),(184,1)}
       164:{1,5,7}:{(137,1),(139,1),(147,1),(186,1)}
       165:{4,5,7}:{(138,1),(139,1),(148,1),(187,1)}
       166:{3,5,6}:{(139,1),(182,1),(186,1),(187,1),(205,1),(207,1)}
       167:{1,3,6}:{(140,1),(141,1),(174,1),(179,1),(188,1)}
       168:{3,4,6}:{(141,1),(142,1),(175,1),(180,1),(188,1),(189,1),(205,1)}
       169:{2,4,5}:{(142,1),(143,1),(148,1),(189,1)}
       170:{2,3,6}:{(144,1),(145,1),(177,1),(183,1),(190,1)}
       171:{3,4,6}:{(145,1),(146,1),(178,1),(184,1),(190,1),(191,1),(207,1)}
       172:{1,4,5}:{(146,1),(147,1),(148,1),(191,1)}
       173:{1,2,4}:{(149,1),(150,1),(192,1),(193,1)}
       174:{1,3,5}:{(150,1),(151,1),(167,1),(192,1),(193,1),(202,1)}
       175:{3,4}:{(151,1),(152,1),(193,1)}
       176:{1,2,4}:{(153,1),(154,1),(194,1),(195,1)}
       177:{2,3,5}:{(154,1),(155,1),(170,1),(194,1),(195,1),(203,1)}
       178:{3,4}:{(155,1),(156,1),(195,1)}
       179:{1,3,7}:{(157,1),(158,1),(167,1),(196,1)}
       180:{3,4,7}:{(158,1),(159,1),(168,1),(196,1),(197,1)}
       181:{2,4,5,7}:{(159,1),(160,1),(165,1),(169,1),(197,1),(198,1)}
       182:{2,5,6}:{(160,1),(166,1),(198,1),(209,1)}
       183:{2,3,7}:{(161,1),(162,1),(170,1),(199,1)}
       184:{3,4,7}:{(162,1),(163,1),(171,1),(199,1),(200,1)}
       185:{1,4,5,7}:{(163,1),(164,1),(165,1),(172,1),(200,1),(201,1)}
       186:{1,5,6}:{(164,1),(166,1),(201,1),(208,1)}
       187:{4,6}:{(165,1),(166,1)}
       188:{1,4,6}:{(167,1),(168,1),(193,1),(196,1),(202,1),(208,1)}
       189:{3,5}:{(168,1),(169,1),(202,1)}
       190:{2,4,6}:{(170,1),(171,1),(195,1),(199,1),(203,1),(209,1)}
       191:{3,5}:{(171,1),(172,1),(203,1)}
       192:{1,3}:{(173,1)}
       193:{1,4}:{(174,1),(175,1)}
       194:{2,3}:{(176,1)}
       195:{2,4}:{(177,1),(178,1)}
       196:{1,4,7}:{(179,1),(180,1),(188,1),(204,1)}
       197:{3,5,7}:{(180,1),(181,1),(189,1),(204,1),(205,1)}
       198:{2,4,6}:{(181,1),(182,1),(187,1),(205,1)}
       199:{2,4,7}:{(183,1),(184,1),(190,1),(206,1)}
       200:{3,5,7}:{(184,1),(185,1),(191,1),(206,1),(207,1)}
       201:{1,4,6}:{(185,1),(186,1),(187,1),(207,1)}
       202:{1,5}:{(188,1),(189,1)}
       203:{2,5}:{(190,1),(191,1)}
       204:{1,5,7}:{(196,1),(197,1),(202,1),(208,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{2,5,7}:{(199,1),(200,1),(203,1),(209,1)}
       207:{3,6}:{(200,1),(201,1),(209,1)}
       208:{1,6}:{(204,1),(205,1)}
       209:{2,6}:{(206,1),(207,1)}

 603 :   0:{1,2,4,5,7}:{(1,1),(2,1),(10,1),(11,1),(12,1),(14,1),(36,1),(39,1),(40,1),(41,1),(65,1),(66,1),(67,1),(71,1),(99,1),(100,1)}
         1:{3,5,7}:{(0,1),(4,1),(7,1),(25,1),(84,1),(88,1)}
         2:{1,2,4,6}:{(0,1),(7,1),(8,1),(23,1),(24,1),(26,1),(29,1),(78,1),(79,1),(109,1),(110,1)}
         3:{1,2,4,6,7}:{(2,1),(9,1),(10,1),(30,1),(31,1),(33,1),(36,1),(67,1),(134,1)}
         4:{3,4,7}:{(1,1),(11,1),(12,1),(13,1),(36,1),(37,1),(103,1)}
         5:{1,3,5,7}:{(1,1),(11,1),(14,1),(15,1),(37,1),(39,1),(70,1),(100,1),(101,1),(104,1)}
         6:{2,3,5,7}:{(1,1),(12,1),(14,1),(16,1),(37,1),(40,1),(70,1),(99,1),(102,1),(105,1)}
         7:{3,6}:{(1,1),(2,1)}
         8:{1,2,5,6}:{(2,1),(10,1),(17,1),(39,1),(40,1),(60,1),(61,1)}
         9:{3,6,7}:{(3,1),(7,1),(21,1),(84,1),(137,1)}
        10:{1,2,5,7}:{(3,1),(8,1),(21,1),(47,1),(48,1),(136,1)}
        11:{1,4,7}:{(4,1),(5,1),(23,1),(87,1),(115,1)}
        12:{2,4,7}:{(4,1),(6,1),(24,1),(87,1),(116,1)}
        13:{3,4,6}:{(4,1),(7,1),(23,1),(24,1),(25,1),(29,1),(53,1),(87,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(22,1),(26,1),(54,1),(114,1),(117,1)}
        15:{1,3,6}:{(5,1),(7,1),(23,1),(26,1),(53,1),(110,1)}
        16:{2,3,6}:{(6,1),(7,1),(24,1),(26,1),(53,1),(109,1)}
        17:{3,5,6}:{(7,1),(8,1),(21,1),(25,1),(29,1)}
        18:{3,4,6,7}:{(9,1),(13,1),(30,1),(31,1),(32,1),(36,1),(62,1),(63,1),(68,1),(69,1),(95,1),(96,1),(97,1),(119,1)}
        19:{1,3,6,7}:{(9,1),(15,1),(30,1),(33,1),(34,1),(63,1),(95,1),(101,1),(120,1)}
        20:{2,3,6,7}:{(9,1),(16,1),(31,1),(33,1),(35,1),(63,1),(96,1),(102,1),(121,1)}
        21:{3,5,7}:{(9,1),(10,1),(17,1),(36,1),(138,1)}
        22:{1,2,4,7}:{(11,1),(12,1),(14,1),(37,1),(38,1),(125,1)}
        23:{1,4,6}:{(11,1),(13,1),(15,1),(39,1)}
        24:{2,4,6}:{(12,1),(13,1),(16,1),(40,1)}
        25:{3,5}:{(13,1),(39,1),(40,1),(41,1)}
        26:{1,2,6}:{(14,1),(15,1),(16,1)}
        27:{1,3,5,6}:{(15,1),(17,1),(34,1),(39,1),(42,1),(43,1),(60,1),(70,1),(72,1),(74,1),(93,1),(95,1),(104,1),(120,1),(132,1),(138,1)}
        28:{2,3,5,6}:{(16,1),(17,1),(35,1),(40,1),(42,1),(44,1),(61,1),(70,1),(73,1),(74,1),(93,1),(96,1),(105,1),(121,1),(133,1),(138,1)}
        29:{4,6}:{(17,1),(36,1),(41,1)}
        30:{1,4,6,7}:{(18,1),(19,1),(23,1),(47,1),(51,1),(78,1),(86,1),(110,1),(127,1)}
        31:{2,4,6,7}:{(18,1),(20,1),(24,1),(48,1),(52,1),(79,1),(85,1),(109,1),(128,1)}
        32:{3,5,7}:{(18,1),(25,1),(45,1),(47,1),(48,1),(49,1),(126,1)}
        33:{1,2,6,7}:{(19,1),(20,1),(26,1),(50,1),(109,1),(110,1),(114,1),(129,1)}
        34:{1,3,5,7}:{(19,1),(21,1),(27,1),(47,1),(50,1),(51,1),(80,1),(82,1),(84,1)}
        35:{2,3,5,7}:{(20,1),(21,1),(28,1),(48,1),(50,1),(52,1),(80,1),(83,1),(84,1)}
        36:{4,7}:{(21,1),(29,1),(139,1)}
        37:{3,7}:{(22,1),(53,1),(131,1)}
        38:{1,2,4,6}:{(22,1),(23,1),(24,1),(26,1),(53,1),(54,1),(87,1)}
        39:{1,5}:{(23,1),(25,1)}
        40:{2,5}:{(24,1),(25,1)}
        41:{4,5}:{(25,1),(29,1),(87,1)}
        42:{1,2,5,6}:{(26,1),(27,1),(28,1),(50,1),(54,1),(57,1),(89,1),(90,1),(109,1),(110,1),(117,1),(129,1),(136,1)}
        43:{1,4,6}:{(27,1),(29,1),(51,1),(55,1),(58,1),(87,1),(107,1),(115,1),(139,1)}
        44:{2,4,6}:{(28,1),(29,1),(52,1),(56,1),(59,1),(87,1),(107,1),(116,1),(139,1)}
        45:{3,5,6}:{(32,1),(60,1),(61,1),(62,1),(95,1),(96,1)}
        46:{1,2,4,6,7}:{(30,1),(31,1),(33,1),(38,1),(63,1),(64,1),(67,1),(94,1),(97,1)}
        47:{1,5,7}:{(30,1),(32,1),(39,1),(60,1),(132,1)}
        48:{2,5,7}:{(31,1),(32,1),(40,1),(61,1),(133,1)}
        49:{4,5,7}:{(32,1),(36,1),(41,1),(62,1),(97,1),(118,1)}
        50:{1,2,5,7}:{(33,1),(34,1),(35,1),(42,1),(67,1),(99,1),(100,1)}
        51:{1,4,7}:{(34,1),(36,1),(43,1),(68,1),(97,1)}
        52:{2,4,7}:{(35,1),(36,1),(44,1),(69,1),(97,1)}
        53:{3,6}:{(37,1),(38,1),(70,1)}
        54:{1,2,5}:{(38,1),(39,1),(40,1),(70,1)}
        55:{1,4,5}:{(39,1),(41,1),(43,1),(72,1),(118,1),(132,1)}
        56:{2,4,5}:{(40,1),(41,1),(44,1),(73,1),(118,1),(133,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(44,1),(67,1),(71,1),(74,1),(75,1),(76,1),(106,1),(125,1)}
        58:{3,4,6}:{(43,1),(68,1),(72,1),(74,1),(75,1),(95,1),(103,1)}
        59:{3,4,6}:{(44,1),(69,1),(73,1),(74,1),(76,1),(96,1),(103,1)}
        60:{1,5,6}:{(45,1),(47,1),(78,1),(110,1)}
        61:{2,5,6}:{(45,1),(48,1),(79,1),(109,1)}
        62:{4,6}:{(45,1),(49,1)}
        63:{3,6,7}:{(46,1),(53,1),(80,1),(84,1),(108,1)}
        64:{1,2,5,7}:{(46,1),(47,1),(48,1),(54,1),(77,1),(80,1)}
        65:{1,4,5,7}:{(47,1),(49,1),(51,1),(55,1),(78,1),(82,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(52,1),(56,1),(79,1),(83,1)}
        67:{1,2,4,7}:{(50,1),(51,1),(52,1),(57,1),(84,1),(85,1),(86,1),(114,1)}
        68:{3,4,7}:{(51,1),(58,1),(82,1),(84,1),(85,1)}
        69:{3,4,7}:{(52,1),(59,1),(83,1),(84,1),(86,1)}
        70:{3,5}:{(53,1),(54,1),(87,1)}
        71:{1,2,4,5}:{(54,1),(55,1),(56,1),(57,1),(87,1),(88,1),(89,1),(90,1),(115,1),(116,1),(117,1),(136,1),(139,1)}
        72:{3,5}:{(55,1),(58,1),(89,1)}
        73:{3,5}:{(56,1),(59,1),(90,1)}
        74:{3,6}:{(57,1),(84,1),(88,1),(131,1)}
        75:{2,4,6}:{(58,1),(85,1),(89,1),(92,1),(109,1),(116,1)}
        76:{1,4,6}:{(59,1),(86,1),(90,1),(91,1),(110,1),(115,1)}
        77:{1,2,5,6}:{(60,1),(61,1),(64,1),(93,1),(94,1),(132,1),(133,1)}
        78:{1,4,6}:{(60,1),(62,1),(65,1),(95,1)}
        79:{2,4,6}:{(61,1),(62,1),(66,1),(96,1)}
        80:{3,5,7}:{(63,1),(64,1),(70,1),(93,1),(97,1)}
        81:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(67,1),(71,1),(94,1),(97,1),(98,1),(99,1),(100,1),(118,1),(122,1),(123,1),(124,1),(132,1),(133,1)}
        82:{3,5,7}:{(65,1),(68,1),(72,1),(95,1),(99,1)}
        83:{3,5,7}:{(66,1),(69,1),(73,1),(96,1),(100,1)}
        84:{3,7}:{(67,1),(74,1)}
        85:{2,4,7}:{(68,1),(75,1),(99,1),(102,1)}
        86:{1,4,7}:{(69,1),(76,1),(100,1),(101,1)}
        87:{4}:{(70,1)}
        88:{3,5}:{(71,1),(74,1),(103,1)}
        89:{2,5}:{(72,1),(75,1)}
        90:{1,5}:{(73,1),(76,1)}
        91:{1,3,6}:{(74,1),(76,1),(101,1),(104,1),(106,1)}
        92:{2,3,6}:{(74,1),(75,1),(102,1),(105,1),(106,1)}
        93:{3,5,6}:{(77,1),(80,1),(107,1),(108,1),(126,1)}
        94:{1,2,4,6}:{(77,1),(78,1),(79,1),(81,1),(107,1),(108,1),(109,1),(110,1),(127,1),(128,1),(129,1)}
        95:{3,6}:{(78,1),(82,1),(109,1)}
        96:{3,6}:{(79,1),(83,1),(110,1)}
        97:{4,7}:{(80,1),(87,1),(107,1)}
        98:{3,5,7}:{(81,1),(84,1),(88,1),(108,1),(111,1),(126,1)}
        99:{2,5,7}:{(82,1),(85,1),(89,1),(109,1)}
       100:{1,5,7}:{(83,1),(86,1),(90,1),(110,1)}
       101:{1,3,7}:{(84,1),(86,1),(91,1),(114,1)}
       102:{2,3,7}:{(84,1),(85,1),(92,1),(114,1)}
       103:{3,4}:{(87,1),(88,1),(115,1),(116,1),(131,1),(139,1)}
       104:{1,3,5}:{(88,1),(90,1),(91,1),(115,1),(117,1),(131,1)}
       105:{2,3,5}:{(88,1),(89,1),(92,1),(116,1),(117,1),(131,1)}
       106:{1,2,6}:{(91,1),(92,1),(114,1),(117,1)}
       107:{4,6}:{(93,1),(97,1),(118,1)}
       108:{3,6}:{(94,1),(98,1)}
       109:{2,6}:{(95,1),(99,1)}
       110:{1,6}:{(96,1),(100,1)}
       111:{3,4,7}:{(97,1),(98,1),(103,1),(119,1),(122,1),(123,1),(135,1)}
       112:{1,3,5,7}:{(98,1),(100,1),(101,1),(104,1),(120,1),(122,1),(124,1),(132,1),(135,1),(138,1)}
       113:{2,3,5,7}:{(98,1),(99,1),(102,1),(105,1),(121,1),(123,1),(124,1),(133,1),(135,1),(138,1)}
       114:{1,2,7}:{(101,1),(102,1),(106,1)}
       115:{1,4}:{(103,1),(104,1)}
       116:{2,4}:{(103,1),(105,1)}
       117:{1,2,5}:{(104,1),(105,1),(106,1),(125,1)}
       118:{4,5}:{(107,1),(126,1),(139,1)}
       119:{3,4,6}:{(107,1),(108,1),(111,1),(126,1),(127,1),(128,1),(137,1),(139,1)}
       120:{1,3,6}:{(108,1),(110,1),(112,1),(127,1),(129,1),(137,1)}
       121:{2,3,6}:{(108,1),(109,1),(113,1),(128,1),(129,1),(137,1)}
       122:{1,4,7}:{(111,1),(112,1),(115,1),(127,1),(139,1)}
       123:{2,4,7}:{(111,1),(113,1),(116,1),(128,1),(139,1)}
       124:{1,2,5,7}:{(112,1),(113,1),(114,1),(117,1),(129,1),(130,1),(136,1)}
       125:{1,2,4}:{(115,1),(116,1),(117,1),(131,1)}
       126:{3,5}:{(118,1),(119,1),(132,1),(133,1)}
       127:{1,4,6}:{(119,1),(120,1),(122,1),(132,1)}
       128:{2,4,6}:{(119,1),(121,1),(123,1),(133,1)}
       129:{1,2,6}:{(120,1),(121,1),(124,1)}
       130:{1,2,4,7}:{(122,1),(123,1),(124,1),(125,1),(134,1),(135,1)}
       131:{3}:{(125,1)}
       132:{1,5}:{(126,1),(127,1)}
       133:{2,5}:{(126,1),(128,1)}
       134:{1,2,4,6}:{(127,1),(128,1),(129,1),(130,1),(136,1),(137,1),(139,1)}
       135:{3,7}:{(130,1),(131,1),(137,1)}
       136:{1,2,5}:{(132,1),(133,1),(134,1),(138,1)}
       137:{3,6}:{(134,1),(135,1),(138,1)}
       138:{3,5}:{(136,1),(137,1),(139,1)}
       139:{4}:{(138,1)}

 604 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(2,1),(3,1)}
        2:{3,4}:{(1,1),(4,1)}
        3:{1,2,5}:{(1,1),(4,1),(5,1)}
        4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
        5:{1,2,6}:{(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:{1,2,7}:{(5,1),(10,1)}
        9:{4,6}:{(6,1),(7,1),(11,1),(12,1)}
       10:{3,7}:{(7,1),(8,1),(12,1)}
       11:{5,6}:{(9,1),(13,1)}
       12:{4,7}:{(9,1),(10,1),(13,1)}
       13:{5,7}:{(11,1),(12,1),(14,1)}
       14:{6,7}:{(13,1)}

 605 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(18,1),(19,1),(21,1),(28,1),(50,1),(51,1),(54,1),(55,1),(56,1),(60,1),(86,1),(87,1),(89,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(15,1),(16,1),(25,1),(28,1),(60,1),(132,1)}
         2:{3,5,7}:{(0,1),(7,1),(10,1),(37,1),(77,1),(105,1)}
         3:{1,2,4,6}:{(0,1),(10,1),(11,1),(35,1),(36,1),(38,1),(41,1),(64,1),(65,1),(99,1),(100,1)}
         4:{3,6,7}:{(1,1),(10,1),(14,1),(77,1),(136,1)}
         5:{1,2,5,7}:{(1,1),(11,1),(14,1),(31,1),(32,1),(135,1)}
         6:{3,4,6,7}:{(4,1),(15,1),(16,1),(17,1),(20,1),(28,1),(47,1),(48,1),(61,1),(62,1),(82,1),(83,1),(84,1),(112,1)}
         7:{3,4,7}:{(2,1),(18,1),(19,1),(20,1),(28,1),(52,1),(118,1)}
         8:{1,3,5,7}:{(2,1),(18,1),(21,1),(22,1),(52,1),(54,1),(87,1),(88,1),(95,1),(119,1)}
         9:{2,3,5,7}:{(2,1),(19,1),(21,1),(23,1),(52,1),(55,1),(86,1),(88,1),(96,1),(120,1)}
        10:{3,6}:{(2,1),(3,1)}
        11:{1,2,5,6}:{(3,1),(5,1),(24,1),(45,1),(46,1),(54,1),(55,1)}
        12:{1,3,6,7}:{(4,1),(15,1),(22,1),(25,1),(26,1),(48,1),(82,1),(95,1),(113,1)}
        13:{2,3,6,7}:{(4,1),(16,1),(23,1),(25,1),(27,1),(48,1),(83,1),(96,1),(114,1)}
        14:{3,5,7}:{(4,1),(5,1),(24,1),(28,1),(138,1)}
        15:{1,4,6,7}:{(6,1),(12,1),(31,1),(35,1),(43,1),(64,1),(79,1),(100,1),(123,1)}
        16:{2,4,6,7}:{(6,1),(13,1),(32,1),(36,1),(44,1),(65,1),(78,1),(99,1),(124,1)}
        17:{3,5,7}:{(6,1),(29,1),(31,1),(32,1),(33,1),(37,1),(122,1)}
        18:{1,4,7}:{(7,1),(8,1),(35,1),(104,1),(127,1)}
        19:{2,4,7}:{(7,1),(9,1),(36,1),(104,1),(128,1)}
        20:{3,4,6}:{(7,1),(10,1),(35,1),(36,1),(37,1),(41,1),(70,1),(104,1)}
        21:{1,2,5,7}:{(8,1),(9,1),(34,1),(38,1),(71,1),(110,1),(129,1)}
        22:{1,3,6}:{(8,1),(10,1),(35,1),(38,1),(70,1),(100,1)}
        23:{2,3,6}:{(9,1),(10,1),(36,1),(38,1),(70,1),(99,1)}
        24:{3,5,6}:{(10,1),(11,1),(14,1),(37,1),(41,1)}
        25:{1,2,6,7}:{(12,1),(13,1),(38,1),(42,1),(99,1),(100,1),(110,1),(125,1)}
        26:{1,3,5,7}:{(12,1),(14,1),(31,1),(39,1),(42,1),(43,1),(66,1),(68,1),(77,1)}
        27:{2,3,5,7}:{(13,1),(14,1),(32,1),(40,1),(42,1),(44,1),(66,1),(69,1),(77,1)}
        28:{4,7}:{(14,1),(41,1),(139,1)}
        29:{3,5,6}:{(17,1),(45,1),(46,1),(47,1),(82,1),(83,1)}
        30:{1,2,4,6,7}:{(15,1),(16,1),(25,1),(48,1),(49,1),(53,1),(60,1),(81,1),(84,1)}
        31:{1,5,7}:{(15,1),(17,1),(45,1),(54,1),(130,1)}
        32:{2,5,7}:{(16,1),(17,1),(46,1),(55,1),(131,1)}
        33:{4,5,7}:{(17,1),(28,1),(47,1),(56,1),(84,1),(111,1)}
        34:{1,2,4,7}:{(18,1),(19,1),(21,1),(52,1),(53,1),(134,1)}
        35:{1,4,6}:{(18,1),(20,1),(22,1),(54,1)}
        36:{2,4,6}:{(19,1),(20,1),(23,1),(55,1)}
        37:{3,5}:{(20,1),(54,1),(55,1),(56,1)}
        38:{1,2,6}:{(21,1),(22,1),(23,1)}
        39:{1,3,5,6}:{(22,1),(24,1),(26,1),(45,1),(54,1),(57,1),(58,1),(80,1),(82,1),(88,1),(90,1),(92,1),(113,1),(119,1),(130,1),(138,1)}
        40:{2,3,5,6}:{(23,1),(24,1),(27,1),(46,1),(55,1),(57,1),(59,1),(80,1),(83,1),(88,1),(91,1),(92,1),(114,1),(120,1),(131,1),(138,1)}
        41:{4,6}:{(24,1),(28,1),(56,1)}
        42:{1,2,5,7}:{(25,1),(26,1),(27,1),(57,1),(60,1),(86,1),(87,1)}
        43:{1,4,7}:{(26,1),(28,1),(58,1),(61,1),(84,1)}
        44:{2,4,7}:{(27,1),(28,1),(59,1),(62,1),(84,1)}
        45:{1,5,6}:{(29,1),(31,1),(64,1),(100,1)}
        46:{2,5,6}:{(29,1),(32,1),(65,1),(99,1)}
        47:{4,6}:{(29,1),(33,1)}
        48:{3,6,7}:{(30,1),(66,1),(70,1),(77,1),(98,1)}
        49:{1,2,5,7}:{(30,1),(31,1),(32,1),(63,1),(66,1),(71,1)}
        50:{1,4,5,7}:{(31,1),(33,1),(43,1),(64,1),(68,1),(72,1)}
        51:{2,4,5,7}:{(32,1),(33,1),(44,1),(65,1),(69,1),(73,1)}
        52:{3,7}:{(34,1),(70,1),(137,1)}
        53:{1,2,4,6}:{(34,1),(35,1),(36,1),(38,1),(70,1),(71,1),(104,1)}
        54:{1,5}:{(35,1),(37,1)}
        55:{2,5}:{(36,1),(37,1)}
        56:{4,5}:{(37,1),(41,1),(104,1)}
        57:{1,2,5,6}:{(38,1),(39,1),(40,1),(42,1),(71,1),(74,1),(99,1),(100,1),(106,1),(107,1),(125,1),(129,1),(135,1)}
        58:{1,4,6}:{(39,1),(41,1),(43,1),(72,1),(75,1),(97,1),(104,1),(127,1),(139,1)}
        59:{2,4,6}:{(40,1),(41,1),(44,1),(73,1),(76,1),(97,1),(104,1),(128,1),(139,1)}
        60:{1,2,4,7}:{(42,1),(43,1),(44,1),(74,1),(77,1),(78,1),(79,1),(110,1)}
        61:{3,4,7}:{(43,1),(68,1),(75,1),(77,1),(78,1)}
        62:{3,4,7}:{(44,1),(69,1),(76,1),(77,1),(79,1)}
        63:{1,2,5,6}:{(45,1),(46,1),(49,1),(80,1),(81,1),(130,1),(131,1)}
        64:{1,4,6}:{(45,1),(47,1),(50,1),(82,1)}
        65:{2,4,6}:{(46,1),(47,1),(51,1),(83,1)}
        66:{3,5,7}:{(48,1),(49,1),(80,1),(84,1),(88,1)}
        67:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(60,1),(81,1),(84,1),(85,1),(86,1),(87,1),(89,1),(111,1),(115,1),(116,1),(117,1),(130,1),(131,1)}
        68:{3,5,7}:{(50,1),(61,1),(82,1),(86,1),(90,1)}
        69:{3,5,7}:{(51,1),(62,1),(83,1),(87,1),(91,1)}
        70:{3,6}:{(52,1),(53,1),(88,1)}
        71:{1,2,5}:{(53,1),(54,1),(55,1),(88,1)}
        72:{1,4,5}:{(54,1),(56,1),(58,1),(90,1),(111,1),(130,1)}
        73:{2,4,5}:{(55,1),(56,1),(59,1),(91,1),(111,1),(131,1)}
        74:{1,2,4,6}:{(57,1),(58,1),(59,1),(60,1),(89,1),(92,1),(93,1),(94,1),(121,1),(134,1)}
        75:{3,4,6}:{(58,1),(61,1),(82,1),(90,1),(92,1),(93,1),(118,1)}
        76:{3,4,6}:{(59,1),(62,1),(83,1),(91,1),(92,1),(94,1),(118,1)}
        77:{3,7}:{(60,1),(92,1)}
        78:{2,4,7}:{(61,1),(86,1),(93,1),(96,1)}
        79:{1,4,7}:{(62,1),(87,1),(94,1),(95,1)}
        80:{3,5,6}:{(63,1),(66,1),(97,1),(98,1),(122,1)}
        81:{1,2,4,6}:{(63,1),(64,1),(65,1),(67,1),(97,1),(98,1),(99,1),(100,1),(123,1),(124,1),(125,1)}
        82:{3,6}:{(64,1),(68,1),(99,1)}
        83:{3,6}:{(65,1),(69,1),(100,1)}
        84:{4,7}:{(66,1),(97,1),(104,1)}
        85:{3,5,7}:{(67,1),(77,1),(98,1),(101,1),(105,1),(122,1)}
        86:{2,5,7}:{(68,1),(78,1),(99,1),(106,1)}
        87:{1,5,7}:{(69,1),(79,1),(100,1),(107,1)}
        88:{3,5}:{(70,1),(71,1),(104,1)}
        89:{1,2,4,5}:{(71,1),(72,1),(73,1),(74,1),(104,1),(105,1),(106,1),(107,1),(127,1),(128,1),(129,1),(135,1),(139,1)}
        90:{3,5}:{(72,1),(75,1),(106,1)}
        91:{3,5}:{(73,1),(76,1),(107,1)}
        92:{3,6}:{(74,1),(77,1),(105,1),(137,1)}
        93:{2,4,6}:{(75,1),(78,1),(99,1),(106,1),(109,1),(128,1)}
        94:{1,4,6}:{(76,1),(79,1),(100,1),(107,1),(108,1),(127,1)}
        95:{1,3,7}:{(77,1),(79,1),(108,1),(110,1)}
        96:{2,3,7}:{(77,1),(78,1),(109,1),(110,1)}
        97:{4,6}:{(80,1),(84,1),(111,1)}
        98:{3,6}:{(81,1),(85,1)}
        99:{2,6}:{(82,1),(86,1)}
       100:{1,6}:{(83,1),(87,1)}
       101:{3,4,7}:{(84,1),(85,1),(112,1),(115,1),(116,1),(118,1),(133,1)}
       102:{1,3,5,7}:{(85,1),(87,1),(95,1),(113,1),(115,1),(117,1),(119,1),(130,1),(133,1),(138,1)}
       103:{2,3,5,7}:{(85,1),(86,1),(96,1),(114,1),(116,1),(117,1),(120,1),(131,1),(133,1),(138,1)}
       104:{4}:{(88,1)}
       105:{3,5}:{(89,1),(92,1),(118,1)}
       106:{2,5}:{(90,1),(93,1)}
       107:{1,5}:{(91,1),(94,1)}
       108:{1,3,6}:{(92,1),(94,1),(95,1),(119,1),(121,1)}
       109:{2,3,6}:{(92,1),(93,1),(96,1),(120,1),(121,1)}
       110:{1,2,7}:{(95,1),(96,1),(121,1)}
       111:{4,5}:{(97,1),(122,1),(139,1)}
       112:{3,4,6}:{(97,1),(98,1),(101,1),(122,1),(123,1),(124,1),(136,1),(139,1)}
       113:{1,3,6}:{(98,1),(100,1),(102,1),(123,1),(125,1),(136,1)}
       114:{2,3,6}:{(98,1),(99,1),(103,1),(124,1),(125,1),(136,1)}
       115:{1,4,7}:{(101,1),(102,1),(123,1),(127,1),(139,1)}
       116:{2,4,7}:{(101,1),(103,1),(124,1),(128,1),(139,1)}
       117:{1,2,5,7}:{(102,1),(103,1),(110,1),(125,1),(126,1),(129,1),(135,1)}
       118:{3,4}:{(104,1),(105,1),(127,1),(128,1),(137,1),(139,1)}
       119:{1,3,5}:{(105,1),(107,1),(108,1),(127,1),(129,1),(137,1)}
       120:{2,3,5}:{(105,1),(106,1),(109,1),(128,1),(129,1),(137,1)}
       121:{1,2,6}:{(108,1),(109,1),(110,1),(129,1)}
       122:{3,5}:{(111,1),(112,1),(130,1),(131,1)}
       123:{1,4,6}:{(112,1),(113,1),(115,1),(130,1)}
       124:{2,4,6}:{(112,1),(114,1),(116,1),(131,1)}
       125:{1,2,6}:{(113,1),(114,1),(117,1)}
       126:{1,2,4,7}:{(115,1),(116,1),(117,1),(132,1),(133,1),(134,1)}
       127:{1,4}:{(118,1),(119,1)}
       128:{2,4}:{(118,1),(120,1)}
       129:{1,2,5}:{(119,1),(120,1),(121,1),(134,1)}
       130:{1,5}:{(122,1),(123,1)}
       131:{2,5}:{(122,1),(124,1)}
       132:{1,2,4,6}:{(123,1),(124,1),(125,1),(126,1),(135,1),(136,1),(139,1)}
       133:{3,7}:{(126,1),(136,1),(137,1)}
       134:{1,2,4}:{(127,1),(128,1),(129,1),(137,1)}
       135:{1,2,5}:{(130,1),(131,1),(132,1),(138,1)}
       136:{3,6}:{(132,1),(133,1),(138,1)}
       137:{3}:{(134,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{4}:{(138,1)}

 606 :   0:{1,2,5,6,7}:{(1,1),(2,1),(23,1),(24,1),(48,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(5,1),(13,1),(64,1)}
         2:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(14,1),(15,1),(20,1),(63,1)}
         3:{4,6,7}:{(1,1),(6,1),(80,1)}
         4:{1,2,4,5,7}:{(2,1),(6,1),(8,1),(9,1),(23,1),(24,1),(29,1),(30,1),(31,1)}
         5:{3,6,7}:{(2,1),(9,1),(79,1)}
         6:{4,5,7}:{(3,1),(12,1),(13,1),(68,1),(92,1)}
         7:{3,4,6,7}:{(3,1),(5,1),(13,1),(14,1),(15,1),(17,1),(32,1),(38,1),(68,1),(91,1)}
         8:{1,2,4,5,6}:{(4,1),(12,1),(16,1),(33,1),(34,1),(40,1),(41,1),(42,1),(63,1),(71,1),(92,1),(103,1),(104,1)}
         9:{3,5,7}:{(4,1),(5,1),(16,1),(17,1)}
        10:{1,3,6,7}:{(5,1),(14,1),(18,1),(20,1),(38,1),(61,1),(90,1)}
        11:{2,3,6,7}:{(5,1),(15,1),(19,1),(20,1),(38,1),(62,1),(89,1)}
        12:{4,5,6}:{(6,1),(21,1),(80,1)}
        13:{3,5,7}:{(6,1),(7,1),(21,1),(23,1),(24,1),(100,1)}
        14:{1,4,6,7}:{(7,1),(10,1),(23,1),(29,1),(46,1),(99,1)}
        15:{2,4,6,7}:{(7,1),(11,1),(24,1),(30,1),(47,1),(98,1)}
        16:{3,5,6}:{(8,1),(9,1),(26,1),(79,1),(86,1),(100,1)}
        17:{3,4,7}:{(9,1),(26,1),(29,1),(30,1),(60,1)}
        18:{1,3,5,7}:{(9,1),(10,1),(23,1),(27,1),(29,1),(31,1),(52,1),(60,1)}
        19:{2,3,5,7}:{(9,1),(11,1),(24,1),(28,1),(30,1),(31,1),(52,1),(60,1)}
        20:{1,2,6,7}:{(10,1),(11,1),(31,1),(77,1),(78,1)}
        21:{3,5,6}:{(12,1),(13,1),(32,1),(33,1),(34,1)}
        22:{3,4,5,7}:{(13,1),(17,1),(32,1),(35,1),(36,1),(39,1),(67,1),(68,1),(92,1)}
        23:{1,5,7}:{(13,1),(14,1),(33,1),(104,1)}
        24:{2,5,7}:{(13,1),(15,1),(34,1),(103,1)}
        25:{1,2,4,6,7}:{(14,1),(15,1),(20,1),(37,1),(38,1),(45,1),(63,1),(68,1)}
        26:{3,4,6}:{(16,1),(17,1),(39,1),(40,1),(41,1),(74,1),(97,1)}
        27:{1,3,5,6}:{(16,1),(18,1),(33,1),(40,1),(42,1),(61,1),(64,1),(69,1),(74,1),(90,1),(96,1),(104,1)}
        28:{2,3,5,6}:{(16,1),(19,1),(34,1),(41,1),(42,1),(62,1),(64,1),(70,1),(74,1),(89,1),(95,1),(103,1)}
        29:{1,4,7}:{(17,1),(18,1),(40,1),(68,1)}
        30:{2,4,7}:{(17,1),(19,1),(41,1),(68,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(20,1),(42,1),(45,1)}
        32:{3,4,6}:{(21,1),(22,1),(46,1),(47,1),(79,1),(80,1)}
        33:{1,5,6}:{(21,1),(23,1),(46,1)}
        34:{2,5,6}:{(21,1),(24,1),(47,1)}
        35:{1,4,5,7}:{(22,1),(23,1),(29,1),(46,1),(49,1),(53,1)}
        36:{2,4,5,7}:{(22,1),(24,1),(30,1),(47,1),(50,1),(54,1)}
        37:{1,2,5,7}:{(23,1),(24,1),(25,1),(48,1),(52,1)}
        38:{3,6,7}:{(25,1),(52,1),(60,1),(79,1)}
        39:{3,4,5}:{(26,1),(53,1),(54,1),(86,1),(100,1)}
        40:{1,4,6}:{(26,1),(27,1),(29,1),(53,1),(80,1),(102,1)}
        41:{2,4,6}:{(26,1),(28,1),(30,1),(54,1),(80,1),(101,1)}
        42:{1,2,5,6}:{(27,1),(28,1),(31,1),(57,1),(77,1),(78,1),(84,1),(85,1)}
        43:{1,3,4,7}:{(29,1),(49,1),(55,1),(58,1),(60,1),(83,1)}
        44:{2,3,4,7}:{(30,1),(50,1),(56,1),(59,1),(60,1),(83,1)}
        45:{1,2,4,7}:{(29,1),(30,1),(31,1),(57,1),(60,1)}
        46:{1,4,6}:{(32,1),(33,1),(35,1),(61,1)}
        47:{2,4,6}:{(32,1),(34,1),(36,1),(62,1)}
        48:{1,2,5,6}:{(33,1),(34,1),(37,1),(63,1),(64,1),(103,1),(104,1)}
        49:{1,3,5,7}:{(35,1),(43,1),(61,1),(65,1),(67,1),(69,1)}
        50:{2,3,5,7}:{(36,1),(44,1),(62,1),(66,1),(67,1),(70,1)}
        51:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(45,1),(63,1),(65,1),(66,1),(67,1),(68,1),(71,1),(92,1),(93,1),(94,1),(103,1),(104,1)}
        52:{3,5,7}:{(37,1),(38,1),(64,1),(68,1)}
        53:{1,4,5}:{(39,1),(40,1),(69,1),(92,1),(104,1)}
        54:{2,4,5}:{(39,1),(41,1),(70,1),(92,1),(103,1)}
        55:{1,3,4,6}:{(40,1),(43,1),(61,1),(69,1),(72,1),(74,1),(91,1),(97,1)}
        56:{2,3,4,6}:{(41,1),(44,1),(62,1),(70,1),(73,1),(74,1),(91,1),(97,1)}
        57:{1,2,4,6}:{(40,1),(41,1),(42,1),(45,1),(71,1),(74,1)}
        58:{1,2,4,7}:{(43,1),(65,1),(72,1),(75,1),(93,1)}
        59:{1,2,4,7}:{(44,1),(66,1),(73,1),(76,1),(94,1)}
        60:{3,7}:{(45,1),(74,1)}
        61:{1,3,6}:{(46,1),(49,1),(77,1),(79,1)}
        62:{2,3,6}:{(47,1),(50,1),(78,1),(79,1)}
        63:{1,2,4,6}:{(46,1),(47,1),(48,1),(51,1),(77,1),(78,1),(79,1),(80,1),(98,1),(99,1)}
        64:{3,5,6}:{(48,1),(52,1),(79,1),(80,1),(100,1)}
        65:{1,2,5,7}:{(49,1),(58,1),(77,1),(81,1),(84,1)}
        66:{1,2,5,7}:{(50,1),(59,1),(78,1),(82,1),(85,1)}
        67:{3,5,7}:{(51,1),(60,1),(79,1),(83,1),(86,1),(100,1)}
        68:{4,7}:{(52,1),(80,1)}
        69:{1,3,5}:{(53,1),(55,1),(84,1),(86,1),(100,1)}
        70:{2,3,5}:{(54,1),(56,1),(85,1),(86,1),(100,1)}
        71:{1,2,4,5}:{(53,1),(54,1),(57,1),(84,1),(85,1),(86,1),(101,1),(102,1)}
        72:{1,2,4,6}:{(55,1),(58,1),(77,1),(84,1),(87,1),(98,1),(101,1)}
        73:{1,2,4,6}:{(56,1),(59,1),(78,1),(85,1),(88,1),(99,1),(102,1)}
        74:{3,6}:{(57,1),(60,1),(86,1)}
        75:{2,3,7}:{(58,1),(60,1),(87,1)}
        76:{1,3,7}:{(59,1),(60,1),(88,1)}
        77:{1,2,6}:{(61,1),(65,1),(89,1)}
        78:{1,2,6}:{(62,1),(66,1),(90,1)}
        79:{3,6}:{(63,1),(67,1)}
        80:{4,6}:{(64,1),(68,1),(92,1)}
        81:{2,3,5,7}:{(65,1),(67,1),(75,1),(89,1),(93,1),(95,1),(103,1)}
        82:{1,3,5,7}:{(66,1),(67,1),(76,1),(90,1),(94,1),(96,1),(104,1)}
        83:{3,4,7}:{(67,1),(68,1),(91,1),(93,1),(94,1),(97,1)}
        84:{1,2,5}:{(69,1),(72,1),(95,1),(103,1)}
        85:{1,2,5}:{(70,1),(73,1),(96,1),(104,1)}
        86:{3,5}:{(71,1),(74,1),(97,1)}
        87:{2,3,6}:{(72,1),(74,1),(75,1),(95,1)}
        88:{1,3,6}:{(73,1),(74,1),(76,1),(96,1)}
        89:{2,3,6}:{(77,1),(79,1),(81,1),(98,1)}
        90:{1,3,6}:{(78,1),(79,1),(82,1),(99,1)}
        91:{3,4,6}:{(79,1),(80,1),(83,1),(98,1),(99,1),(100,1)}
        92:{4,5}:{(80,1),(100,1)}
        93:{2,4,7}:{(81,1),(83,1),(98,1),(101,1)}
        94:{1,4,7}:{(82,1),(83,1),(99,1),(102,1)}
        95:{2,3,5}:{(84,1),(86,1),(87,1),(101,1)}
        96:{1,3,5}:{(85,1),(86,1),(88,1),(102,1)}
        97:{3,4}:{(86,1),(101,1),(102,1)}
        98:{2,4,6}:{(89,1),(91,1),(93,1),(103,1)}
        99:{1,4,6}:{(90,1),(91,1),(94,1),(104,1)}
       100:{3,5}:{(91,1),(92,1),(103,1),(104,1)}
       101:{2,4}:{(95,1),(97,1)}
       102:{1,4}:{(96,1),(97,1)}
       103:{2,5}:{(98,1),(100,1)}
       104:{1,5}:{(99,1),(100,1)}

 607 :   0:{1,3,5,7}:{(3,1),(4,1),(5,1),(6,1),(22,1),(26,1),(51,1)}
         1:{1,4,5,7}:{(4,1),(6,1),(7,1),(9,1),(26,1),(30,1),(53,1)}
         2:{1,4,6,7}:{(7,1),(8,1),(9,1),(30,1)}
         3:{1,2,5,7}:{(0,1),(10,1),(11,1),(12,1),(15,1),(37,1),(57,1)}
         4:{1,4,7}:{(0,1),(13,1),(14,1),(65,1),(68,1)}
         5:{1,3,6}:{(0,1),(12,1),(14,1),(16,1),(36,1),(99,1)}
         6:{3,5,7}:{(1,1),(13,1),(15,1),(16,1),(39,1)}
         7:{1,4,6}:{(1,1),(16,1),(17,1),(41,1)}
         8:{3,6,7}:{(2,1),(16,1),(18,1),(19,1)}
         9:{1,5,7}:{(2,1),(17,1),(19,1),(68,1)}
        10:{2,3,5,7}:{(3,1),(20,1),(21,1),(22,1),(43,1),(47,1),(51,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(20,1),(22,1),(23,1),(24,1),(45,1),(48,1)}
        12:{1,2,6}:{(3,1),(5,1),(21,1),(27,1),(71,1),(103,1)}
        13:{3,4,7}:{(4,1),(6,1),(22,1),(24,1),(25,1),(30,1),(55,1)}
        14:{1,4,6}:{(4,1),(5,1),(25,1),(26,1),(79,1),(95,1)}
        15:{2,5,7}:{(6,1),(24,1),(27,1),(52,1)}
        16:{3,6}:{(6,1),(7,1),(27,1)}
        17:{1,5,6}:{(7,1),(9,1),(26,1),(28,1),(79,1)}
        18:{2,6,7}:{(8,1),(27,1),(29,1)}
        19:{3,5,7}:{(8,1),(9,1),(28,1),(29,1),(30,1),(55,1)}
        20:{2,4,7}:{(10,1),(32,1),(33,1),(65,1),(104,1)}
        21:{2,3,6}:{(10,1),(12,1),(33,1),(36,1),(58,1),(100,1)}
        22:{3,7}:{(11,1),(36,1)}
        23:{1,2,4,6}:{(11,1),(12,1),(14,1),(33,1),(36,1),(37,1),(38,1),(60,1),(62,1),(65,1),(85,1)}
        24:{2,4,7}:{(13,1),(15,1),(35,1),(38,1)}
        25:{3,4,6}:{(13,1),(14,1),(16,1),(36,1),(38,1),(39,1),(41,1),(65,1),(67,1),(87,1)}
        26:{1,5}:{(14,1),(39,1)}
        27:{2,6}:{(15,1),(16,1)}
        28:{3,5,6}:{(16,1),(17,1),(19,1),(39,1),(40,1),(41,1),(67,1)}
        29:{2,5,7}:{(18,1),(19,1),(40,1),(42,1)}
        30:{4,7}:{(19,1),(41,1)}
        31:{2,4,5,7}:{(20,1),(43,1),(44,1),(47,1),(70,1),(74,1),(90,1)}
        32:{3,4,7}:{(20,1),(22,1),(43,1),(45,1),(46,1),(90,1),(101,1)}
        33:{2,4,6}:{(20,1),(21,1),(46,1),(47,1),(94,1),(102,1)}
        34:{1,3,7}:{(22,1),(45,1),(48,1),(49,1),(101,1)}
        35:{2,3,7}:{(22,1),(24,1),(48,1),(50,1),(55,1)}
        36:{3,6}:{(22,1),(23,1),(51,1),(93,1)}
        37:{1,2,5}:{(23,1),(26,1),(47,1),(51,1),(52,1),(73,1)}
        38:{2,4,6}:{(24,1),(25,1),(27,1),(50,1),(52,1),(77,1)}
        39:{3,5}:{(25,1),(26,1),(52,1),(53,1)}
        40:{2,5,6}:{(27,1),(28,1),(29,1),(52,1),(54,1)}
        41:{4,6}:{(28,1),(30,1),(53,1)}
        42:{2,4,7}:{(29,1),(30,1),(54,1),(55,1)}
        43:{3,5,7}:{(31,1),(32,1),(57,1),(58,1),(61,1)}
        44:{2,4,6}:{(31,1),(58,1),(59,1),(83,1)}
        45:{1,4,7}:{(32,1),(34,1),(57,1),(60,1)}
        46:{3,4,6}:{(32,1),(33,1),(36,1),(58,1),(60,1),(61,1),(65,1),(83,1),(86,1),(97,1)}
        47:{2,5}:{(33,1),(61,1)}
        48:{1,2,7}:{(34,1),(35,1),(62,1),(68,1),(104,1)}
        49:{1,3,6}:{(34,1),(36,1),(60,1),(62,1),(63,1),(97,1)}
        50:{2,3,6}:{(35,1),(36,1),(38,1),(62,1),(64,1),(67,1)}
        51:{3,5}:{(36,1),(37,1),(65,1)}
        52:{2,5}:{(38,1),(39,1)}
        53:{4,5}:{(39,1),(41,1),(65,1)}
        54:{2,4,6}:{(40,1),(41,1),(42,1),(66,1),(67,1)}
        55:{3,7}:{(42,1),(67,1),(68,1)}
        56:{2,4,6,7}:{(44,1),(69,1),(70,1),(90,1)}
        57:{1,5,7}:{(43,1),(45,1),(71,1),(73,1)}
        58:{3,6}:{(43,1),(44,1),(71,1)}
        59:{2,5,6}:{(44,1),(47,1),(70,1),(72,1),(102,1)}
        60:{1,4,6}:{(45,1),(46,1),(49,1),(71,1),(73,1),(76,1)}
        61:{3,5}:{(46,1),(47,1),(73,1),(74,1)}
        62:{1,2,6}:{(48,1),(49,1),(50,1),(75,1),(79,1),(102,1)}
        63:{1,3,5}:{(49,1),(51,1),(73,1),(75,1),(76,1),(92,1),(93,1)}
        64:{2,3,5}:{(50,1),(51,1),(52,1),(75,1),(77,1),(78,1),(93,1)}
        65:{4}:{(51,1)}
        66:{2,4,5}:{(52,1),(53,1),(54,1),(77,1),(78,1)}
        67:{3,6}:{(54,1),(55,1),(78,1),(79,1)}
        68:{1,7}:{(55,1),(79,1)}
        69:{3,6,7}:{(56,1),(58,1),(80,1),(81,1)}
        70:{2,5,7}:{(56,1),(59,1),(81,1),(104,1)}
        71:{1,6}:{(57,1),(58,1)}
        72:{3,5,6}:{(58,1),(59,1),(61,1),(81,1),(82,1),(83,1),(97,1)}
        73:{1,5}:{(60,1),(61,1)}
        74:{4,5}:{(61,1),(65,1),(83,1)}
        75:{1,2,5}:{(62,1),(63,1),(64,1),(85,1),(88,1),(98,1)}
        76:{1,4}:{(63,1),(65,1),(86,1)}
        77:{2,4}:{(64,1),(65,1),(87,1)}
        78:{3,5}:{(66,1),(67,1),(87,1),(88,1)}
        79:{1,6}:{(67,1),(68,1),(88,1)}
        80:{1,6,7}:{(69,1),(71,1),(89,1)}
        81:{3,5,7}:{(69,1),(70,1),(72,1),(89,1),(90,1),(101,1)}
        82:{1,5,6}:{(71,1),(72,1),(73,1),(89,1),(91,1)}
        83:{4,6}:{(72,1),(74,1),(90,1)}
        84:{1,4,5}:{(73,1),(74,1),(76,1),(91,1),(92,1)}
        85:{1,2,4}:{(75,1),(76,1),(77,1),(93,1),(94,1),(95,1),(103,1)}
        86:{3,4}:{(76,1),(92,1),(93,1),(94,1)}
        87:{3,4}:{(77,1),(78,1),(93,1),(95,1)}
        88:{1,5}:{(78,1),(79,1),(95,1)}
        89:{1,5,7}:{(80,1),(81,1),(82,1),(96,1)}
        90:{4,7}:{(81,1),(83,1)}
        91:{1,4,6}:{(82,1),(83,1),(84,1),(96,1),(97,1)}
        92:{3,5}:{(84,1),(86,1),(97,1),(98,1)}
        93:{3}:{(85,1)}
        94:{2,4}:{(86,1),(98,1),(100,1)}
        95:{1,4}:{(87,1),(88,1),(99,1)}
        96:{1,4,7}:{(89,1),(90,1),(91,1),(101,1)}
        97:{3,6}:{(91,1),(92,1),(101,1),(102,1)}
        98:{2,5}:{(92,1),(94,1),(102,1)}
        99:{1,3}:{(93,1),(95,1),(103,1)}
       100:{2,3}:{(93,1),(94,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{2,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{2,7}:{(101,1),(102,1)}

 608 :   0:{2,3,5,7}:{(3,1),(4,1),(5,1),(6,1),(22,1),(26,1),(51,1)}
         1:{2,4,5,7}:{(4,1),(6,1),(7,1),(9,1),(26,1),(30,1),(53,1)}
         2:{2,4,6,7}:{(7,1),(8,1),(9,1),(30,1)}
         3:{1,2,5,7}:{(0,1),(10,1),(11,1),(12,1),(15,1),(37,1),(57,1)}
         4:{2,4,7}:{(0,1),(13,1),(14,1),(65,1),(68,1)}
         5:{2,3,6}:{(0,1),(12,1),(14,1),(16,1),(36,1),(100,1)}
         6:{3,5,7}:{(1,1),(13,1),(15,1),(16,1),(39,1)}
         7:{2,4,6}:{(1,1),(16,1),(17,1),(41,1)}
         8:{3,6,7}:{(2,1),(16,1),(18,1),(19,1)}
         9:{2,5,7}:{(2,1),(17,1),(19,1),(68,1)}
        10:{1,3,5,7}:{(3,1),(20,1),(21,1),(22,1),(43,1),(47,1),(51,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(20,1),(22,1),(23,1),(24,1),(45,1),(48,1)}
        12:{1,2,6}:{(3,1),(5,1),(21,1),(27,1),(71,1),(103,1)}
        13:{3,4,7}:{(4,1),(6,1),(22,1),(24,1),(25,1),(30,1),(55,1)}
        14:{2,4,6}:{(4,1),(5,1),(25,1),(26,1),(79,1),(94,1)}
        15:{1,5,7}:{(6,1),(24,1),(27,1),(52,1)}
        16:{3,6}:{(6,1),(7,1),(27,1)}
        17:{2,5,6}:{(7,1),(9,1),(26,1),(28,1),(79,1)}
        18:{1,6,7}:{(8,1),(27,1),(29,1)}
        19:{3,5,7}:{(8,1),(9,1),(28,1),(29,1),(30,1),(55,1)}
        20:{1,4,7}:{(10,1),(32,1),(33,1),(65,1),(104,1)}
        21:{1,3,6}:{(10,1),(12,1),(33,1),(36,1),(58,1),(99,1)}
        22:{3,7}:{(11,1),(36,1)}
        23:{1,2,4,6}:{(11,1),(12,1),(14,1),(33,1),(36,1),(37,1),(38,1),(60,1),(62,1),(65,1),(85,1)}
        24:{1,4,7}:{(13,1),(15,1),(34,1),(38,1)}
        25:{3,4,6}:{(13,1),(14,1),(16,1),(36,1),(38,1),(39,1),(41,1),(65,1),(67,1),(86,1)}
        26:{2,5}:{(14,1),(39,1)}
        27:{1,6}:{(15,1),(16,1)}
        28:{3,5,6}:{(16,1),(17,1),(19,1),(39,1),(40,1),(41,1),(67,1)}
        29:{1,5,7}:{(18,1),(19,1),(40,1),(42,1)}
        30:{4,7}:{(19,1),(41,1)}
        31:{1,4,5,7}:{(20,1),(43,1),(44,1),(47,1),(70,1),(74,1),(90,1)}
        32:{3,4,7}:{(20,1),(22,1),(43,1),(45,1),(46,1),(90,1),(101,1)}
        33:{1,4,6}:{(20,1),(21,1),(46,1),(47,1),(95,1),(102,1)}
        34:{1,3,7}:{(22,1),(24,1),(48,1),(49,1),(55,1)}
        35:{2,3,7}:{(22,1),(45,1),(48,1),(50,1),(101,1)}
        36:{3,6}:{(22,1),(23,1),(51,1),(93,1)}
        37:{1,2,5}:{(23,1),(26,1),(47,1),(51,1),(52,1),(73,1)}
        38:{1,4,6}:{(24,1),(25,1),(27,1),(49,1),(52,1),(76,1)}
        39:{3,5}:{(25,1),(26,1),(52,1),(53,1)}
        40:{1,5,6}:{(27,1),(28,1),(29,1),(52,1),(54,1)}
        41:{4,6}:{(28,1),(30,1),(53,1)}
        42:{1,4,7}:{(29,1),(30,1),(54,1),(55,1)}
        43:{3,5,7}:{(31,1),(32,1),(57,1),(58,1),(61,1)}
        44:{1,4,6}:{(31,1),(58,1),(59,1),(83,1)}
        45:{2,4,7}:{(32,1),(35,1),(57,1),(60,1)}
        46:{3,4,6}:{(32,1),(33,1),(36,1),(58,1),(60,1),(61,1),(65,1),(83,1),(87,1),(97,1)}
        47:{1,5}:{(33,1),(61,1)}
        48:{1,2,7}:{(34,1),(35,1),(62,1),(68,1),(104,1)}
        49:{1,3,6}:{(34,1),(36,1),(38,1),(62,1),(63,1),(67,1)}
        50:{2,3,6}:{(35,1),(36,1),(60,1),(62,1),(64,1),(97,1)}
        51:{3,5}:{(36,1),(37,1),(65,1)}
        52:{1,5}:{(38,1),(39,1)}
        53:{4,5}:{(39,1),(41,1),(65,1)}
        54:{1,4,6}:{(40,1),(41,1),(42,1),(66,1),(67,1)}
        55:{3,7}:{(42,1),(67,1),(68,1)}
        56:{1,4,6,7}:{(44,1),(69,1),(70,1),(90,1)}
        57:{2,5,7}:{(43,1),(45,1),(71,1),(73,1)}
        58:{3,6}:{(43,1),(44,1),(71,1)}
        59:{1,5,6}:{(44,1),(47,1),(70,1),(72,1),(102,1)}
        60:{2,4,6}:{(45,1),(46,1),(50,1),(71,1),(73,1),(77,1)}
        61:{3,5}:{(46,1),(47,1),(73,1),(74,1)}
        62:{1,2,6}:{(48,1),(49,1),(50,1),(75,1),(79,1),(102,1)}
        63:{1,3,5}:{(49,1),(51,1),(52,1),(75,1),(76,1),(78,1),(93,1)}
        64:{2,3,5}:{(50,1),(51,1),(73,1),(75,1),(77,1),(92,1),(93,1)}
        65:{4}:{(51,1)}
        66:{1,4,5}:{(52,1),(53,1),(54,1),(76,1),(78,1)}
        67:{3,6}:{(54,1),(55,1),(78,1),(79,1)}
        68:{2,7}:{(55,1),(79,1)}
        69:{3,6,7}:{(56,1),(58,1),(80,1),(81,1)}
        70:{1,5,7}:{(56,1),(59,1),(81,1),(104,1)}
        71:{2,6}:{(57,1),(58,1)}
        72:{3,5,6}:{(58,1),(59,1),(61,1),(81,1),(82,1),(83,1),(97,1)}
        73:{2,5}:{(60,1),(61,1)}
        74:{4,5}:{(61,1),(65,1),(83,1)}
        75:{1,2,5}:{(62,1),(63,1),(64,1),(85,1),(88,1),(98,1)}
        76:{1,4}:{(63,1),(65,1),(86,1)}
        77:{2,4}:{(64,1),(65,1),(87,1)}
        78:{3,5}:{(66,1),(67,1),(86,1),(88,1)}
        79:{2,6}:{(67,1),(68,1),(88,1)}
        80:{2,6,7}:{(69,1),(71,1),(89,1)}
        81:{3,5,7}:{(69,1),(70,1),(72,1),(89,1),(90,1),(101,1)}
        82:{2,5,6}:{(71,1),(72,1),(73,1),(89,1),(91,1)}
        83:{4,6}:{(72,1),(74,1),(90,1)}
        84:{2,4,5}:{(73,1),(74,1),(77,1),(91,1),(92,1)}
        85:{1,2,4}:{(75,1),(76,1),(77,1),(93,1),(94,1),(95,1),(103,1)}
        86:{3,4}:{(76,1),(78,1),(93,1),(94,1)}
        87:{3,4}:{(77,1),(92,1),(93,1),(95,1)}
        88:{2,5}:{(78,1),(79,1),(94,1)}
        89:{2,5,7}:{(80,1),(81,1),(82,1),(96,1)}
        90:{4,7}:{(81,1),(83,1)}
        91:{2,4,6}:{(82,1),(83,1),(84,1),(96,1),(97,1)}
        92:{3,5}:{(84,1),(87,1),(97,1),(98,1)}
        93:{3}:{(85,1)}
        94:{2,4}:{(86,1),(88,1),(100,1)}
        95:{1,4}:{(87,1),(98,1),(99,1)}
        96:{2,4,7}:{(89,1),(90,1),(91,1),(101,1)}
        97:{3,6}:{(91,1),(92,1),(101,1),(102,1)}
        98:{1,5}:{(92,1),(95,1),(102,1)}
        99:{1,3}:{(93,1),(95,1),(103,1)}
       100:{2,3}:{(93,1),(94,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{1,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{1,7}:{(101,1),(102,1)}

 609 :   0:{3,4,5,7}:{(3,1),(4,1),(5,1),(8,1),(32,1),(95,1),(99,1),(101,1),(134,1),(137,1),(146,1)}
         1:{3,4,6,7}:{(5,1),(6,1),(7,1),(8,1),(11,1),(41,1),(45,1),(46,1),(95,1),(99,1),(101,1)}
         2:{3,5,6,7}:{(8,1),(9,1),(10,1),(11,1),(45,1),(46,1)}
         3:{1,4,5,7}:{(0,1),(12,1),(15,1),(21,1),(64,1),(106,1),(129,1),(163,1)}
         4:{2,4,5,7}:{(0,1),(13,1),(16,1),(22,1),(67,1),(109,1),(125,1),(160,1)}
         5:{3,4,6}:{(0,1),(15,1),(16,1),(17,1),(58,1),(119,1)}
         6:{1,4,6,7}:{(1,1),(15,1),(18,1),(21,1),(64,1),(73,1),(129,1)}
         7:{2,4,6,7}:{(1,1),(16,1),(19,1),(22,1),(67,1),(72,1),(125,1)}
         8:{3,5,7}:{(1,1),(17,1),(21,1),(22,1),(23,1)}
         9:{1,5,6,7}:{(2,1),(21,1),(24,1),(73,1)}
        10:{2,5,6,7}:{(2,1),(22,1),(25,1),(72,1)}
        11:{4,6,7}:{(2,1),(23,1)}
        12:{1,3,5,7}:{(3,1),(26,1),(28,1),(29,1),(32,1),(76,1),(155,1),(184,1),(193,1)}
        13:{2,3,5,7}:{(4,1),(27,1),(30,1),(31,1),(32,1),(79,1),(151,1),(182,1),(195,1)}
        14:{1,2,4,5,7}:{(3,1),(4,1),(28,1),(30,1),(32,1),(33,1),(42,1),(80,1),(84,1),(94,1),(98,1),(101,1),(133,1),(136,1),(138,1),(142,1),(146,1),(148,1),(153,1),(193,1),(195,1)}
        15:{1,4,6}:{(3,1),(5,1),(29,1),(34,1)}
        16:{2,4,6}:{(4,1),(5,1),(31,1),(35,1)}
        17:{3,5,6}:{(5,1),(8,1),(34,1),(35,1),(36,1)}
        18:{1,3,6,7}:{(6,1),(29,1),(37,1),(38,1),(41,1),(45,1),(155,1)}
        19:{2,3,6,7}:{(7,1),(31,1),(39,1),(40,1),(41,1),(46,1),(151,1)}
        20:{1,2,4,6,7}:{(6,1),(7,1),(33,1),(37,1),(39,1),(41,1),(42,1),(92,1),(94,1),(96,1),(98,1),(101,1)}
        21:{1,5,7}:{(6,1),(8,1),(34,1)}
        22:{2,5,7}:{(7,1),(8,1),(35,1)}
        23:{4,5,7}:{(8,1),(11,1),(36,1),(101,1)}
        24:{1,4,6,7}:{(9,1),(11,1),(43,1),(45,1)}
        25:{2,4,6,7}:{(10,1),(11,1),(44,1),(46,1)}
        26:{1,3,4,7}:{(12,1),(47,1),(48,1),(57,1),(64,1),(124,1),(174,1),(199,1)}
        27:{2,3,4,7}:{(13,1),(49,1),(50,1),(57,1),(67,1),(128,1),(178,1),(197,1)}
        28:{1,2,5,7}:{(12,1),(47,1),(51,1),(52,1),(105,1),(179,1),(201,1)}
        29:{1,3,6}:{(12,1),(15,1),(52,1),(58,1),(204,1)}
        30:{1,2,5,7}:{(13,1),(49,1),(54,1),(55,1),(108,1),(175,1),(198,1)}
        31:{2,3,6}:{(13,1),(16,1),(55,1),(58,1),(205,1)}
        32:{3,5,7}:{(14,1),(57,1),(58,1),(118,1),(124,1),(128,1),(159,1),(162,1)}
        33:{1,2,4,6}:{(14,1),(15,1),(16,1),(52,1),(55,1),(58,1),(59,1),(110,1),(114,1),(119,1),(172,1),(176,1),(204,1),(205,1)}
        34:{1,5,6}:{(15,1),(17,1),(21,1)}
        35:{2,5,6}:{(16,1),(17,1),(22,1)}
        36:{4,5,6}:{(17,1),(23,1),(119,1)}
        37:{1,2,6,7}:{(18,1),(52,1),(62,1),(63,1),(72,1),(179,1),(204,1)}
        38:{1,3,5,7}:{(18,1),(21,1),(53,1),(63,1),(64,1),(69,1),(70,1),(124,1)}
        39:{1,2,6,7}:{(19,1),(55,1),(65,1),(66,1),(73,1),(175,1),(205,1)}
        40:{2,3,5,7}:{(19,1),(22,1),(56,1),(66,1),(67,1),(69,1),(71,1),(128,1)}
        41:{3,6,7}:{(20,1),(58,1),(69,1),(124,1),(128,1)}
        42:{1,2,5,7}:{(20,1),(21,1),(22,1),(59,1),(69,1),(122,1),(126,1)}
        43:{1,4,5,7}:{(21,1),(23,1),(24,1),(60,1),(64,1),(70,1)}
        44:{2,4,5,7}:{(22,1),(23,1),(25,1),(61,1),(67,1),(71,1)}
        45:{3,6,7}:{(24,1),(70,1),(72,1)}
        46:{3,6,7}:{(25,1),(71,1),(73,1)}
        47:{1,2,4,7}:{(26,1),(28,1),(74,1),(75,1),(80,1),(207,1)}
        48:{1,3,4,6}:{(26,1),(29,1),(75,1),(76,1),(83,1),(88,1),(140,1),(180,1),(187,1)}
        49:{1,2,4,7}:{(27,1),(30,1),(77,1),(78,1),(84,1),(206,1)}
        50:{2,3,4,6}:{(27,1),(31,1),(78,1),(79,1),(87,1),(88,1),(144,1),(183,1),(190,1)}
        51:{2,3,5,7}:{(28,1),(32,1),(74,1),(80,1),(81,1),(132,1),(138,1),(156,1),(185,1),(195,1)}
        52:{1,2,6}:{(28,1),(29,1),(81,1)}
        53:{1,3,5,6}:{(29,1),(34,1),(38,1),(76,1),(82,1),(83,1),(89,1),(90,1),(140,1)}
        54:{1,3,5,7}:{(30,1),(32,1),(77,1),(84,1),(85,1),(135,1),(142,1),(150,1),(181,1),(193,1)}
        55:{1,2,6}:{(30,1),(31,1),(85,1)}
        56:{2,3,5,6}:{(31,1),(35,1),(40,1),(79,1),(86,1),(87,1),(89,1),(91,1),(144,1)}
        57:{3,4,7}:{(32,1),(80,1),(84,1),(88,1),(101,1),(180,1),(183,1)}
        58:{3,6}:{(32,1),(33,1)}
        59:{1,2,5,6}:{(33,1),(34,1),(35,1),(42,1),(89,1),(138,1),(142,1),(147,1),(152,1)}
        60:{1,4,5,6}:{(34,1),(36,1),(43,1),(83,1),(90,1)}
        61:{2,4,5,6}:{(35,1),(36,1),(44,1),(87,1),(91,1)}
        62:{2,3,6,7}:{(37,1),(41,1),(81,1),(92,1),(93,1),(156,1),(192,1)}
        63:{1,2,5,7}:{(37,1),(38,1),(82,1),(93,1),(94,1),(102,1),(193,1)}
        64:{1,4,7}:{(38,1),(83,1),(95,1),(101,1)}
        65:{1,3,6,7}:{(39,1),(41,1),(85,1),(96,1),(97,1),(150,1),(194,1)}
        66:{1,2,5,7}:{(39,1),(40,1),(86,1),(97,1),(98,1),(103,1),(195,1)}
        67:{2,4,7}:{(40,1),(87,1),(99,1),(101,1)}
        68:{3,4,6,7}:{(41,1),(88,1),(92,1),(96,1),(100,1),(101,1),(149,1),(154,1),(157,1),(192,1),(194,1)}
        69:{3,5,7}:{(41,1),(42,1),(89,1),(101,1)}
        70:{3,5,7}:{(43,1),(45,1),(90,1),(95,1),(102,1)}
        71:{3,5,7}:{(44,1),(46,1),(91,1),(99,1),(103,1)}
        72:{2,6,7}:{(45,1),(102,1)}
        73:{1,6,7}:{(46,1),(103,1)}
        74:{2,3,7}:{(47,1),(104,1),(124,1),(209,1)}
        75:{1,2,4,6}:{(47,1),(48,1),(52,1),(104,1),(105,1),(110,1),(158,1)}
        76:{1,3,5}:{(48,1),(105,1),(106,1),(118,1),(159,1),(202,1)}
        77:{1,3,7}:{(49,1),(107,1),(128,1),(208,1)}
        78:{1,2,4,6}:{(49,1),(50,1),(55,1),(107,1),(108,1),(114,1),(161,1)}
        79:{2,3,5}:{(50,1),(108,1),(109,1),(118,1),(162,1),(203,1)}
        80:{2,4,7}:{(51,1),(57,1),(110,1),(158,1),(200,1)}
        81:{2,3,6}:{(51,1),(52,1),(58,1),(110,1),(205,1)}
        82:{1,2,5,6}:{(52,1),(53,1),(63,1),(105,1),(111,1),(112,1),(120,1),(202,1),(204,1)}
        83:{1,4,6}:{(53,1),(64,1),(106,1),(113,1),(119,1)}
        84:{1,4,7}:{(54,1),(57,1),(114,1),(161,1),(196,1)}
        85:{1,3,6}:{(54,1),(55,1),(58,1),(114,1),(204,1)}
        86:{1,2,5,6}:{(55,1),(56,1),(66,1),(108,1),(115,1),(116,1),(121,1),(203,1),(205,1)}
        87:{2,4,6}:{(56,1),(67,1),(109,1),(117,1),(119,1)}
        88:{3,4,6}:{(57,1),(58,1),(110,1),(114,1),(118,1),(119,1)}
        89:{3,5,6}:{(58,1),(59,1),(69,1),(118,1),(119,1)}
        90:{3,5,6}:{(60,1),(70,1),(113,1),(120,1)}
        91:{3,5,6}:{(61,1),(71,1),(117,1),(121,1)}
        92:{2,4,6,7}:{(62,1),(68,1),(110,1),(122,1),(123,1),(172,1),(178,1),(205,1)}
        93:{2,3,5,7}:{(62,1),(63,1),(69,1),(111,1),(122,1),(123,1),(124,1),(173,1)}
        94:{1,2,4,7}:{(63,1),(64,1),(112,1),(123,1),(124,1),(125,1),(174,1),(175,1)}
        95:{3,4,7}:{(64,1),(70,1),(113,1),(124,1),(125,1)}
        96:{1,4,6,7}:{(65,1),(68,1),(114,1),(126,1),(127,1),(174,1),(176,1),(204,1)}
        97:{1,3,5,7}:{(65,1),(66,1),(69,1),(115,1),(126,1),(127,1),(128,1),(177,1)}
        98:{1,2,4,7}:{(66,1),(67,1),(116,1),(127,1),(128,1),(129,1),(178,1),(179,1)}
        99:{3,4,7}:{(67,1),(71,1),(117,1),(128,1),(129,1)}
       100:{3,5,7}:{(68,1),(118,1),(122,1),(126,1),(130,1),(131,1)}
       101:{4,7}:{(69,1),(119,1)}
       102:{2,5,7}:{(70,1),(72,1),(120,1),(125,1)}
       103:{1,5,7}:{(71,1),(73,1),(121,1),(129,1)}
       104:{2,3,6}:{(74,1),(75,1),(132,1),(140,1)}
       105:{1,2,5}:{(75,1),(76,1),(132,1),(138,1)}
       106:{1,4,5}:{(76,1),(83,1),(134,1),(146,1)}
       107:{1,3,6}:{(77,1),(78,1),(135,1),(144,1)}
       108:{1,2,5}:{(78,1),(79,1),(135,1),(142,1)}
       109:{2,4,5}:{(79,1),(87,1),(137,1),(146,1)}
       110:{2,4,6}:{(80,1),(81,1),(88,1),(138,1)}
       111:{2,3,5,6}:{(81,1),(82,1),(89,1),(93,1),(132,1),(138,1),(139,1),(140,1),(147,1),(186,1),(192,1)}
       112:{1,2,4,6}:{(82,1),(83,1),(94,1),(133,1),(139,1),(140,1),(141,1),(187,1),(188,1)}
       113:{3,4,6}:{(83,1),(90,1),(95,1),(134,1),(140,1),(141,1)}
       114:{1,4,6}:{(84,1),(85,1),(88,1),(142,1)}
       115:{1,3,5,6}:{(85,1),(86,1),(89,1),(97,1),(135,1),(142,1),(143,1),(144,1),(152,1),(189,1),(194,1)}
       116:{1,2,4,6}:{(86,1),(87,1),(98,1),(136,1),(143,1),(144,1),(145,1),(190,1),(191,1)}
       117:{3,4,6}:{(87,1),(91,1),(99,1),(137,1),(144,1),(145,1)}
       118:{3,5}:{(88,1),(138,1),(142,1),(146,1)}
       119:{4,6}:{(89,1),(101,1),(146,1)}
       120:{2,5,6}:{(90,1),(102,1),(141,1)}
       121:{1,5,6}:{(91,1),(103,1),(145,1)}
       122:{2,5,7}:{(92,1),(100,1),(138,1),(147,1)}
       123:{2,4,7}:{(93,1),(101,1),(139,1),(149,1)}
       124:{3,7}:{(94,1),(140,1)}
       125:{2,4,7}:{(95,1),(102,1),(141,1),(151,1)}
       126:{1,5,7}:{(96,1),(100,1),(142,1),(152,1)}
       127:{1,4,7}:{(97,1),(101,1),(143,1),(154,1)}
       128:{3,7}:{(98,1),(144,1)}
       129:{1,4,7}:{(99,1),(103,1),(145,1),(155,1)}
       130:{3,5,6}:{(100,1),(147,1),(152,1),(157,1),(192,1),(194,1)}
       131:{4,5,7}:{(100,1),(101,1),(146,1),(157,1)}
       132:{2,3,5}:{(104,1),(105,1),(158,1),(159,1)}
       133:{1,2,4,5}:{(105,1),(106,1),(112,1),(158,1),(159,1),(160,1),(164,1),(196,1),(198,1),(202,1)}
       134:{3,4,5}:{(106,1),(113,1),(159,1),(160,1)}
       135:{1,3,5}:{(107,1),(108,1),(161,1),(162,1)}
       136:{1,2,4,5}:{(108,1),(109,1),(116,1),(161,1),(162,1),(163,1),(168,1),(200,1),(201,1),(203,1)}
       137:{3,4,5}:{(109,1),(117,1),(162,1),(163,1)}
       138:{2,5}:{(110,1),(118,1)}
       139:{2,4,6}:{(111,1),(119,1),(123,1),(158,1),(164,1),(165,1)}
       140:{3,6}:{(112,1),(124,1),(159,1)}
       141:{2,4,6}:{(113,1),(120,1),(125,1),(160,1),(167,1)}
       142:{1,5}:{(114,1),(118,1)}
       143:{1,4,6}:{(115,1),(119,1),(127,1),(161,1),(168,1),(169,1)}
       144:{3,6}:{(116,1),(128,1),(162,1)}
       145:{1,4,6}:{(117,1),(121,1),(129,1),(163,1),(170,1)}
       146:{4,5}:{(118,1),(119,1)}
       147:{2,5,6}:{(122,1),(130,1),(172,1),(205,1)}
       148:{2,4,5,7}:{(122,1),(123,1),(131,1),(164,1),(172,1),(173,1)}
       149:{3,4,7}:{(123,1),(124,1),(165,1),(173,1),(174,1)}
       150:{1,3,7}:{(124,1),(166,1),(174,1),(175,1)}
       151:{2,3,7}:{(124,1),(125,1),(167,1),(175,1)}
       152:{1,5,6}:{(126,1),(130,1),(176,1),(204,1)}
       153:{1,4,5,7}:{(126,1),(127,1),(131,1),(168,1),(176,1),(177,1)}
       154:{3,4,7}:{(127,1),(128,1),(169,1),(177,1),(178,1)}
       155:{1,3,7}:{(128,1),(129,1),(170,1),(179,1)}
       156:{2,3,7}:{(128,1),(171,1),(178,1),(179,1)}
       157:{4,6}:{(130,1),(131,1)}
       158:{2,4}:{(132,1),(180,1)}
       159:{3,5}:{(133,1),(140,1),(180,1)}
       160:{2,4,5}:{(134,1),(141,1),(182,1)}
       161:{1,4}:{(135,1),(183,1)}
       162:{3,5}:{(136,1),(144,1),(183,1)}
       163:{1,4,5}:{(137,1),(145,1),(184,1)}
       164:{2,4,5}:{(138,1),(139,1),(146,1),(186,1)}
       165:{3,4,6}:{(139,1),(140,1),(149,1),(180,1),(186,1),(187,1),(192,1)}
       166:{1,3,6}:{(140,1),(150,1),(181,1),(187,1),(188,1)}
       167:{2,3,6}:{(140,1),(141,1),(151,1),(182,1),(188,1)}
       168:{1,4,5}:{(142,1),(143,1),(146,1),(189,1)}
       169:{3,4,6}:{(143,1),(144,1),(154,1),(183,1),(189,1),(190,1),(194,1)}
       170:{1,3,6}:{(144,1),(145,1),(155,1),(184,1),(191,1)}
       171:{2,3,6}:{(144,1),(156,1),(185,1),(190,1),(191,1)}
       172:{2,4,6}:{(147,1),(148,1),(157,1),(192,1)}
       173:{3,5,7}:{(148,1),(149,1),(186,1),(192,1),(193,1)}
       174:{1,4,7}:{(149,1),(150,1),(187,1),(193,1)}
       175:{1,2,7}:{(150,1),(151,1),(188,1)}
       176:{1,4,6}:{(152,1),(153,1),(157,1),(194,1)}
       177:{3,5,7}:{(153,1),(154,1),(189,1),(194,1),(195,1)}
       178:{2,4,7}:{(154,1),(156,1),(190,1),(195,1)}
       179:{1,2,7}:{(155,1),(156,1),(191,1)}
       180:{3,4}:{(158,1),(159,1),(196,1)}
       181:{1,3,5}:{(159,1),(166,1),(196,1),(198,1),(202,1),(208,1)}
       182:{2,3,5}:{(159,1),(160,1),(167,1),(197,1),(198,1)}
       183:{3,4}:{(161,1),(162,1),(200,1)}
       184:{1,3,5}:{(162,1),(163,1),(170,1),(199,1),(201,1)}
       185:{2,3,5}:{(162,1),(171,1),(200,1),(201,1),(203,1),(209,1)}
       186:{3,5}:{(164,1),(165,1),(202,1)}
       187:{1,4,6}:{(165,1),(166,1),(174,1),(196,1),(202,1),(204,1)}
       188:{1,2,6}:{(166,1),(167,1),(175,1),(198,1)}
       189:{3,5}:{(168,1),(169,1),(203,1)}
       190:{2,4,6}:{(169,1),(171,1),(178,1),(200,1),(203,1),(205,1)}
       191:{1,2,6}:{(170,1),(171,1),(179,1),(201,1)}
       192:{3,6}:{(172,1),(173,1),(204,1)}
       193:{1,5,7}:{(173,1),(174,1),(202,1),(204,1)}
       194:{3,6}:{(176,1),(177,1),(205,1)}
       195:{2,5,7}:{(177,1),(178,1),(203,1),(205,1)}
       196:{1,4}:{(180,1),(181,1)}
       197:{2,3,4}:{(180,1),(182,1),(206,1)}
       198:{1,2,5}:{(181,1),(182,1),(188,1),(206,1)}
       199:{1,3,4}:{(183,1),(184,1),(207,1)}
       200:{2,4}:{(183,1),(185,1)}
       201:{1,2,5}:{(184,1),(185,1),(191,1),(207,1)}
       202:{1,5}:{(186,1),(187,1)}
       203:{2,5}:{(189,1),(190,1)}
       204:{1,6}:{(192,1),(193,1)}
       205:{2,6}:{(194,1),(195,1)}
       206:{1,2,4}:{(196,1),(197,1),(198,1),(208,1)}
       207:{1,2,4}:{(199,1),(200,1),(201,1),(209,1)}
       208:{1,3}:{(206,1)}
       209:{2,3}:{(207,1)}

 610 :   0:{4,5,6,7}:{(1,1),(24,1),(188,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(4,1),(208,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(24,1),(186,1)}
         3:{1,5,6,7}:{(1,1),(6,1),(220,1)}
         4:{2,5,6,7}:{(1,1),(7,1),(222,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1),(36,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(12,1),(204,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(13,1),(206,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(15,1),(66,1),(67,1),(111,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(41,1),(51,1),(177,1),(186,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,6,7}:{(6,1),(18,1),(21,1),(23,1),(181,1)}
        13:{2,3,6,7}:{(7,1),(19,1),(22,1),(23,1),(184,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(21,1),(22,1),(23,1),(24,1),(48,1),(49,1),(134,1)}
        15:{3,5,6,7}:{(8,1),(23,1),(24,1),(50,1),(138,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(25,1),(196,1),(204,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(26,1),(199,1),(206,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(25,1),(28,1),(30,1),(32,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(26,1),(29,1),(31,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(32,1),(36,1),(62,1),(63,1),(66,1),(67,1)}
        21:{1,2,6,7}:{(12,1),(30,1),(33,1),(155,1)}
        22:{1,2,6,7}:{(13,1),(31,1),(34,1),(158,1)}
        23:{3,6,7}:{(14,1),(32,1),(161,1)}
        24:{4,6,7}:{(15,1),(36,1),(163,1)}
        25:{1,3,5,6}:{(16,1),(18,1),(37,1),(39,1),(41,1),(171,1),(181,1)}
        26:{2,3,5,6}:{(17,1),(19,1),(38,1),(40,1),(41,1),(174,1),(184,1)}
        27:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(39,1),(40,1),(41,1),(51,1),(75,1),(76,1),(88,1),(89,1),(123,1),(134,1)}
        28:{1,3,4,7}:{(18,1),(37,1),(42,1),(46,1)}
        29:{2,3,4,7}:{(19,1),(38,1),(43,1),(46,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(39,1),(42,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(40,1),(43,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(41,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(48,1),(129,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(49,1),(132,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(48,1),(49,1),(50,1),(85,1)}
        36:{4,5,7}:{(24,1),(50,1),(51,1)}
        37:{1,3,4,6}:{(25,1),(28,1),(52,1),(54,1),(58,1)}
        38:{2,3,4,6}:{(26,1),(29,1),(53,1),(55,1),(58,1)}
        39:{1,2,5,6}:{(25,1),(30,1),(54,1),(56,1),(145,1),(155,1)}
        40:{1,2,5,6}:{(26,1),(31,1),(55,1),(57,1),(148,1),(158,1)}
        41:{3,5,6}:{(27,1),(32,1),(58,1),(150,1),(161,1)}
        42:{1,2,4,7}:{(28,1),(30,1),(54,1),(59,1),(62,1)}
        43:{1,2,4,7}:{(29,1),(31,1),(55,1),(60,1),(63,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(56,1),(59,1),(62,1),(66,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(57,1),(60,1),(63,1),(67,1)}
        46:{3,4,7}:{(32,1),(58,1),(62,1),(63,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(61,1),(65,1),(155,1),(158,1),(161,1),(205,1),(207,1)}
        48:{2,4,6,7}:{(33,1),(35,1),(62,1),(66,1),(107,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(63,1),(67,1),(108,1)}
        50:{3,5,7}:{(35,1),(36,1),(66,1),(67,1),(68,1)}
        51:{4,5,6}:{(36,1),(68,1),(163,1)}
        52:{1,3,4,5}:{(37,1),(70,1),(77,1),(165,1),(171,1)}
        53:{2,3,4,5}:{(38,1),(71,1),(77,1),(168,1),(174,1)}
        54:{1,2,4,6}:{(37,1),(39,1),(42,1),(70,1),(72,1),(75,1)}
        55:{1,2,4,6}:{(38,1),(40,1),(43,1),(71,1),(73,1),(76,1)}
        56:{2,3,5,6}:{(39,1),(41,1),(44,1),(72,1),(75,1),(88,1),(119,1),(129,1)}
        57:{1,3,5,6}:{(40,1),(41,1),(45,1),(73,1),(76,1),(89,1),(121,1),(132,1)}
        58:{3,4,6}:{(41,1),(46,1),(75,1),(76,1),(77,1)}
        59:{2,3,7}:{(42,1),(72,1)}
        60:{1,3,7}:{(43,1),(73,1)}
        61:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(74,1),(78,1),(80,1),(82,1),(87,1),(128,1),(131,1),(133,1),(216,1),(218,1)}
        62:{2,4,7}:{(44,1),(46,1),(75,1)}
        63:{1,4,7}:{(45,1),(46,1),(76,1)}
        64:{3,4,5,7}:{(46,1),(50,1),(77,1),(83,1),(84,1),(85,1),(133,1),(137,1)}
        65:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(82,1),(86,1),(87,1),(134,1),(221,1),(223,1)}
        66:{2,5,7}:{(48,1),(50,1),(88,1)}
        67:{1,5,7}:{(49,1),(50,1),(89,1)}
        68:{3,5,6}:{(50,1),(51,1),(85,1),(88,1),(89,1)}
        69:{4,5,6,7}:{(51,1),(90,1),(189,1)}
        70:{1,2,4,5}:{(52,1),(54,1),(91,1),(98,1),(140,1),(145,1)}
        71:{1,2,4,5}:{(53,1),(55,1),(92,1),(99,1),(142,1),(148,1)}
        72:{2,3,6}:{(54,1),(59,1),(91,1)}
        73:{1,3,6}:{(55,1),(60,1),(92,1)}
        74:{1,2,3,5,6}:{(56,1),(57,1),(61,1),(93,1),(95,1),(97,1),(111,1),(145,1),(148,1),(150,1),(155,1),(158,1),(161,1),(197,1),(200,1)}
        75:{2,4,6}:{(56,1),(58,1),(62,1),(98,1)}
        76:{1,4,6}:{(57,1),(58,1),(63,1),(99,1)}
        77:{3,4,5}:{(58,1),(98,1),(99,1),(150,1)}
        78:{1,2,3,7}:{(59,1),(93,1),(101,1),(225,1)}
        79:{2,3,4,7}:{(59,1),(62,1),(94,1),(101,1),(102,1),(105,1)}
        80:{1,2,3,7}:{(60,1),(95,1),(103,1),(226,1)}
        81:{1,3,4,7}:{(60,1),(63,1),(96,1),(103,1),(104,1),(105,1)}
        82:{1,2,4,7}:{(61,1),(62,1),(63,1),(97,1),(105,1),(227,1),(228,1)}
        83:{2,4,5,7}:{(62,1),(64,1),(66,1),(98,1),(102,1),(107,1)}
        84:{1,4,5,7}:{(63,1),(64,1),(67,1),(99,1),(104,1),(108,1)}
        85:{3,4,6}:{(64,1),(68,1),(107,1),(108,1),(161,1),(163,1)}
        86:{3,4,6,7}:{(65,1),(105,1),(110,1),(161,1),(163,1)}
        87:{1,2,5,7}:{(65,1),(66,1),(67,1),(110,1),(111,1),(229,1),(230,1)}
        88:{2,5,6}:{(66,1),(68,1),(107,1)}
        89:{1,5,6}:{(67,1),(68,1),(108,1)}
        90:{3,5,6,7}:{(68,1),(69,1),(109,1),(112,1),(113,1)}
        91:{2,3,5}:{(70,1),(72,1),(115,1)}
        92:{1,3,5}:{(71,1),(73,1),(117,1)}
        93:{1,2,3,6}:{(72,1),(78,1),(114,1),(118,1),(211,1)}
        94:{2,3,4,6}:{(72,1),(75,1),(79,1),(115,1),(118,1),(119,1),(122,1),(129,1)}
        95:{1,2,3,6}:{(73,1),(80,1),(116,1),(120,1),(213,1)}
        96:{1,3,4,6}:{(73,1),(76,1),(81,1),(117,1),(120,1),(121,1),(122,1),(132,1)}
        97:{1,2,4,6}:{(74,1),(75,1),(76,1),(82,1),(122,1),(123,1),(215,1),(217,1)}
        98:{2,4,5}:{(75,1),(77,1),(119,1)}
        99:{1,4,5}:{(76,1),(77,1),(121,1)}
       100:{3,4,5,6}:{(77,1),(85,1),(124,1),(125,1),(126,1),(178,1),(188,1)}
       101:{1,2,4,7}:{(78,1),(79,1),(118,1),(127,1),(128,1)}
       102:{2,3,5,7}:{(79,1),(83,1),(119,1),(128,1),(129,1),(133,1)}
       103:{1,2,4,7}:{(80,1),(81,1),(120,1),(130,1),(131,1)}
       104:{1,3,5,7}:{(81,1),(84,1),(121,1),(131,1),(132,1),(133,1)}
       105:{3,4,7}:{(82,1),(122,1),(133,1)}
       106:{1,2,4,5,7}:{(82,1),(83,1),(84,1),(87,1),(123,1),(128,1),(131,1),(133,1),(134,1),(137,1),(180,1),(183,1)}
       107:{2,4,6}:{(83,1),(85,1),(88,1),(129,1)}
       108:{1,4,6}:{(84,1),(85,1),(89,1),(132,1)}
       109:{3,4,6,7}:{(85,1),(90,1),(126,1),(135,1),(136,1),(187,1),(189,1)}
       110:{3,5,7}:{(86,1),(87,1),(137,1),(138,1)}
       111:{1,2,5,6}:{(87,1),(88,1),(89,1),(134,1),(138,1),(220,1),(222,1)}
       112:{2,5,6,7}:{(88,1),(90,1),(135,1)}
       113:{1,5,6,7}:{(89,1),(90,1),(136,1)}
       114:{1,2,3,5}:{(91,1),(93,1),(140,1),(145,1),(190,1)}
       115:{2,3,4}:{(91,1),(140,1)}
       116:{1,2,3,5}:{(92,1),(95,1),(142,1),(148,1),(193,1)}
       117:{1,3,4}:{(92,1),(142,1)}
       118:{1,2,4,6}:{(93,1),(94,1),(101,1),(140,1),(144,1),(145,1),(155,1)}
       119:{2,3,5}:{(94,1),(98,1),(145,1),(150,1)}
       120:{1,2,4,6}:{(95,1),(96,1),(103,1),(142,1),(147,1),(148,1),(158,1)}
       121:{1,3,5}:{(96,1),(99,1),(148,1),(150,1)}
       122:{3,4,6}:{(97,1),(105,1),(150,1),(161,1)}
       123:{1,2,4,5}:{(97,1),(98,1),(99,1),(145,1),(148,1),(150,1),(196,1),(199,1)}
       124:{2,4,5,6}:{(98,1),(100,1),(107,1),(146,1),(152,1)}
       125:{1,4,5,6}:{(99,1),(100,1),(108,1),(149,1),(153,1)}
       126:{3,4,5,7}:{(100,1),(109,1),(152,1),(153,1),(203,1),(210,1)}
       127:{1,3,4,7}:{(101,1),(105,1),(144,1),(154,1),(225,1),(227,1)}
       128:{1,2,5,7}:{(101,1),(102,1),(145,1),(154,1),(155,1)}
       129:{2,3,6}:{(102,1),(107,1),(155,1),(161,1)}
       130:{2,3,4,7}:{(103,1),(105,1),(147,1),(157,1),(226,1),(228,1)}
       131:{1,2,5,7}:{(103,1),(104,1),(148,1),(157,1),(158,1)}
       132:{1,3,6}:{(104,1),(108,1),(158,1),(161,1)}
       133:{3,5,7}:{(105,1),(106,1),(150,1),(161,1)}
       134:{1,2,4,6}:{(106,1),(107,1),(108,1),(111,1),(155,1),(158,1),(161,1),(163,1),(204,1),(206,1)}
       135:{2,4,6,7}:{(107,1),(109,1),(112,1),(152,1),(156,1)}
       136:{1,4,6,7}:{(108,1),(109,1),(113,1),(153,1),(159,1)}
       137:{4,5,7}:{(110,1),(163,1)}
       138:{3,5,6}:{(110,1),(111,1),(161,1),(163,1)}
       139:{1,2,5,6,7}:{(111,1),(112,1),(113,1),(162,1),(164,1),(229,1),(230,1)}
       140:{1,2,4}:{(114,1),(115,1),(165,1)}
       141:{2,3,4,5}:{(115,1),(119,1),(166,1),(167,1),(177,1)}
       142:{1,2,4}:{(116,1),(117,1),(168,1)}
       143:{1,3,4,5}:{(117,1),(121,1),(169,1),(170,1),(177,1)}
       144:{1,3,4,6}:{(118,1),(122,1),(127,1),(165,1),(171,1),(181,1),(211,1),(215,1)}
       145:{1,2,5}:{(118,1),(119,1),(171,1)}
       146:{2,3,5,6}:{(119,1),(124,1),(129,1),(167,1),(172,1),(173,1),(178,1)}
       147:{2,3,4,6}:{(120,1),(122,1),(130,1),(168,1),(174,1),(184,1),(213,1),(217,1)}
       148:{1,2,5}:{(120,1),(121,1),(174,1)}
       149:{1,3,5,6}:{(121,1),(125,1),(132,1),(170,1),(175,1),(176,1),(178,1)}
       150:{3,5}:{(122,1),(123,1)}
       151:{1,2,4,5,6}:{(123,1),(124,1),(125,1),(134,1),(172,1),(175,1),(178,1),(179,1),(188,1),(215,1),(217,1),(220,1),(222,1)}
       152:{2,4,5,7}:{(124,1),(126,1),(135,1),(173,1)}
       153:{1,4,5,7}:{(125,1),(126,1),(136,1),(176,1)}
       154:{1,3,5,7}:{(127,1),(128,1),(133,1),(171,1),(180,1),(181,1)}
       155:{1,2,6}:{(128,1),(129,1),(181,1)}
       156:{2,3,6,7}:{(129,1),(135,1),(173,1),(182,1),(187,1)}
       157:{2,3,5,7}:{(130,1),(131,1),(133,1),(174,1),(183,1),(184,1)}
       158:{1,2,6}:{(131,1),(132,1),(184,1)}
       159:{1,3,6,7}:{(132,1),(136,1),(176,1),(185,1),(187,1)}
       160:{3,4,5,7}:{(133,1),(137,1),(177,1),(180,1),(183,1),(186,1),(219,1),(224,1)}
       161:{3,6}:{(133,1),(134,1)}
       162:{1,2,4,6,7}:{(134,1),(135,1),(136,1),(139,1),(179,1),(182,1),(185,1),(187,1),(189,1),(221,1),(223,1)}
       163:{4,6}:{(137,1),(138,1)}
       164:{3,5,6,7}:{(138,1),(139,1),(187,1),(189,1),(224,1)}
       165:{1,3,4}:{(140,1),(190,1)}
       166:{1,2,4,5}:{(140,1),(141,1),(145,1),(190,1),(191,1),(196,1)}
       167:{2,3,4,6}:{(141,1),(146,1),(191,1),(192,1),(202,1)}
       168:{2,3,4}:{(142,1),(193,1)}
       169:{1,2,4,5}:{(142,1),(143,1),(148,1),(193,1),(194,1),(199,1)}
       170:{1,3,4,6}:{(143,1),(149,1),(194,1),(195,1),(202,1)}
       171:{1,3,5}:{(144,1),(145,1),(150,1),(196,1)}
       172:{1,2,5,6}:{(145,1),(146,1),(155,1),(191,1),(197,1),(198,1)}
       173:{2,3,5,7}:{(146,1),(152,1),(156,1),(192,1),(198,1),(203,1)}
       174:{2,3,5}:{(147,1),(148,1),(150,1),(199,1)}
       175:{1,2,5,6}:{(148,1),(149,1),(158,1),(194,1),(200,1),(201,1)}
       176:{1,3,5,7}:{(149,1),(153,1),(159,1),(195,1),(201,1),(203,1)}
       177:{3,4,5}:{(150,1),(196,1),(199,1),(202,1)}
       178:{3,5,6}:{(150,1),(151,1),(161,1),(202,1),(203,1)}
       179:{1,2,4,5,7}:{(151,1),(152,1),(153,1),(162,1),(198,1),(201,1),(203,1),(210,1),(227,1),(228,1),(229,1),(230,1)}
       180:{1,4,5,7}:{(154,1),(160,1),(196,1),(204,1),(227,1),(229,1)}
       181:{1,3,6}:{(154,1),(155,1),(161,1),(204,1)}
       182:{1,2,6,7}:{(155,1),(156,1),(198,1),(205,1)}
       183:{2,4,5,7}:{(157,1),(160,1),(199,1),(206,1),(228,1),(230,1)}
       184:{2,3,6}:{(157,1),(158,1),(161,1),(206,1)}
       185:{1,2,6,7}:{(158,1),(159,1),(201,1),(207,1)}
       186:{3,4,6}:{(160,1),(161,1),(163,1),(204,1),(206,1),(208,1)}
       187:{3,6,7}:{(161,1),(162,1),(203,1)}
       188:{4,5,6}:{(163,1),(208,1),(210,1)}
       189:{4,6,7}:{(163,1),(164,1),(210,1)}
       190:{1,3,5}:{(165,1),(166,1),(211,1)}
       191:{1,2,4,6}:{(166,1),(167,1),(172,1),(211,1),(212,1),(215,1)}
       192:{2,3,4,7}:{(167,1),(173,1),(212,1),(219,1)}
       193:{2,3,5}:{(168,1),(169,1),(213,1)}
       194:{1,2,4,6}:{(169,1),(170,1),(175,1),(213,1),(214,1),(217,1)}
       195:{1,3,4,7}:{(170,1),(176,1),(214,1),(219,1)}
       196:{1,4,5}:{(171,1),(177,1),(215,1)}
       197:{1,3,5,6}:{(171,1),(172,1),(178,1),(181,1),(211,1),(215,1),(216,1),(220,1)}
       198:{1,2,5,7}:{(172,1),(173,1),(182,1),(212,1),(216,1)}
       199:{2,4,5}:{(174,1),(177,1),(217,1)}
       200:{2,3,5,6}:{(174,1),(175,1),(178,1),(184,1),(213,1),(217,1),(218,1),(222,1)}
       201:{1,2,5,7}:{(175,1),(176,1),(185,1),(214,1),(218,1)}
       202:{3,4,6}:{(177,1),(178,1),(215,1),(217,1),(219,1)}
       203:{3,5,7}:{(178,1),(179,1),(187,1),(219,1)}
       204:{1,4,6}:{(180,1),(181,1),(186,1),(220,1)}
       205:{1,3,6,7}:{(181,1),(182,1),(187,1),(216,1),(221,1)}
       206:{2,4,6}:{(183,1),(184,1),(186,1),(222,1)}
       207:{2,3,6,7}:{(184,1),(185,1),(187,1),(218,1),(223,1)}
       208:{3,5,6}:{(186,1),(188,1),(220,1),(222,1),(224,1)}
       209:{3,4,6,7}:{(186,1),(187,1),(189,1),(219,1),(221,1),(223,1),(224,1)}
       210:{4,5,7}:{(188,1),(189,1),(224,1)}
       211:{1,3,6}:{(190,1),(191,1),(225,1)}
       212:{1,2,4,7}:{(191,1),(192,1),(198,1),(225,1),(227,1)}
       213:{2,3,6}:{(193,1),(194,1),(226,1)}
       214:{1,2,4,7}:{(194,1),(195,1),(201,1),(226,1),(228,1)}
       215:{1,4,6}:{(196,1),(197,1),(202,1),(227,1)}
       216:{1,3,5,7}:{(197,1),(198,1),(203,1),(205,1),(225,1),(227,1),(229,1)}
       217:{2,4,6}:{(199,1),(200,1),(202,1),(228,1)}
       218:{2,3,5,7}:{(200,1),(201,1),(203,1),(207,1),(226,1),(228,1),(230,1)}
       219:{3,4,7}:{(202,1),(203,1),(227,1),(228,1)}
       220:{1,5,6}:{(204,1),(208,1),(229,1)}
       221:{1,4,6,7}:{(204,1),(205,1),(209,1),(227,1),(229,1)}
       222:{2,5,6}:{(206,1),(208,1),(230,1)}
       223:{2,4,6,7}:{(206,1),(207,1),(209,1),(228,1),(230,1)}
       224:{3,5,7}:{(208,1),(209,1),(210,1),(229,1),(230,1)}
       225:{1,3,7}:{(211,1),(212,1)}
       226:{2,3,7}:{(213,1),(214,1)}
       227:{1,4,7}:{(215,1),(216,1),(219,1)}
       228:{2,4,7}:{(217,1),(218,1),(219,1)}
       229:{1,5,7}:{(220,1),(221,1),(224,1)}
       230:{2,5,7}:{(222,1),(223,1),(224,1)}

 611 :  0:{1,2,6,7}:{(2,1),(3,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(3,1),(4,1),(5,1),(40,1),(41,1),(51,1),(52,1)}
        2:{3,6,7}:{(0,1),(7,1),(8,1),(44,1)}
        3:{1,2,5,7}:{(0,1),(1,1),(8,1),(9,1),(45,1),(46,1)}
        4:{3,5,6}:{(1,1),(8,1),(10,1),(11,1),(23,1),(28,1),(44,1)}
        5:{1,2,4,6}:{(1,1),(6,1),(9,1),(10,1),(11,1),(29,1),(30,1),(31,1)}
        6:{1,2,4,5}:{(5,1),(12,1),(16,1),(32,1),(33,1),(34,1),(40,1),(41,1)}
        7:{4,6,7}:{(2,1),(13,1),(14,1),(35,1)}
        8:{3,5,7}:{(2,1),(3,1),(4,1),(13,1),(14,1),(15,1)}
        9:{1,2,4,7}:{(3,1),(5,1),(14,1),(15,1),(37,1),(38,1),(39,1)}
       10:{4,6}:{(4,1),(14,1),(16,1)}
       11:{3,6}:{(5,1),(12,1),(15,1)}
       12:{3,5}:{(6,1),(11,1),(20,1)}
       13:{5,7}:{(7,1),(23,1)}
       14:{4,7}:{(8,1),(10,1)}
       15:{3,7}:{(9,1),(11,1)}
       16:{4,5}:{(10,1),(28,1),(58,1)}
       17:{3,4,6}:{(10,1),(11,1),(20,1),(25,1),(28,1),(29,1),(30,1),(44,1),(49,1),(58,1),(61,1)}
       18:{1,3,6}:{(11,1),(21,1),(26,1),(29,1),(31,1),(49,1)}
       19:{2,3,6}:{(11,1),(22,1),(27,1),(30,1),(31,1),(49,1)}
       20:{3,4}:{(12,1),(32,1),(33,1),(50,1)}
       21:{1,3,5}:{(12,1),(18,1),(32,1),(34,1),(40,1),(50,1),(55,1)}
       22:{2,3,5}:{(12,1),(19,1),(33,1),(34,1),(41,1),(50,1),(55,1)}
       23:{5,6}:{(13,1),(35,1),(62,1)}
       24:{4,5,7}:{(13,1),(14,1),(16,1),(35,1),(36,1),(60,1),(62,1)}
       25:{3,4,7}:{(14,1),(15,1),(17,1),(36,1),(37,1),(38,1),(54,1),(60,1)}
       26:{1,3,7}:{(15,1),(18,1),(37,1),(39,1),(54,1)}
       27:{2,3,7}:{(15,1),(19,1),(38,1),(39,1),(54,1)}
       28:{3,5}:{(16,1),(17,1),(40,1),(41,1),(62,1)}
       29:{1,4,6}:{(17,1),(18,1),(32,1),(37,1),(40,1),(51,1)}
       30:{2,4,6}:{(17,1),(19,1),(33,1),(38,1),(41,1),(52,1)}
       31:{1,2,6}:{(18,1),(19,1),(34,1),(39,1)}
       32:{1,4}:{(20,1),(21,1),(58,1)}
       33:{2,4}:{(20,1),(22,1),(58,1)}
       34:{1,2,5}:{(21,1),(22,1),(31,1),(43,1)}
       35:{4,6}:{(23,1),(24,1),(44,1)}
       36:{3,5,7}:{(24,1),(25,1),(28,1),(44,1),(45,1),(46,1)}
       37:{1,4,7}:{(25,1),(26,1),(29,1),(45,1)}
       38:{2,4,7}:{(25,1),(27,1),(30,1),(46,1)}
       39:{1,2,7}:{(26,1),(27,1),(31,1)}
       40:{1,5}:{(28,1),(29,1)}
       41:{2,5}:{(28,1),(30,1)}
       42:{1,2,4,6}:{(29,1),(30,1),(31,1),(43,1),(47,1),(48,1),(49,1),(56,1),(58,1),(61,1)}
       43:{1,2,4}:{(32,1),(33,1),(34,1),(50,1)}
       44:{3,6}:{(35,1),(36,1),(51,1),(52,1)}
       45:{1,5,7}:{(36,1),(37,1),(40,1),(51,1)}
       46:{2,5,7}:{(36,1),(38,1),(41,1),(52,1)}
       47:{1,2,4,7}:{(37,1),(38,1),(39,1),(42,1),(53,1),(54,1),(60,1)}
       48:{1,2,5}:{(40,1),(41,1),(42,1),(55,1),(62,1)}
       49:{3,6}:{(42,1),(50,1),(54,1),(55,1)}
       50:{3}:{(43,1)}
       51:{1,6}:{(44,1),(45,1)}
       52:{2,6}:{(44,1),(46,1)}
       53:{1,2,5,7}:{(45,1),(46,1),(47,1),(48,1),(56,1),(57,1)}
       54:{3,7}:{(47,1),(49,1)}
       55:{3,5}:{(48,1),(49,1),(58,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(55,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 612 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(17,1),(27,1),(56,1),(65,1),(125,1)}
         1:{2,3,4,6}:{(2,1),(5,1),(6,1),(19,1),(30,1),(56,1),(65,1),(125,1)}
         2:{1,2,4,6}:{(0,1),(1,1),(9,1),(10,1),(11,1),(41,1),(45,1)}
         3:{1,3,5}:{(0,1),(10,1),(12,1),(43,1),(151,1)}
         4:{1,3,4,7}:{(0,1),(11,1),(13,1),(36,1),(86,1),(96,1),(226,1)}
         5:{2,3,5}:{(1,1),(10,1),(14,1),(43,1),(151,1)}
         6:{2,3,4,7}:{(1,1),(11,1),(15,1),(39,1),(86,1),(96,1),(227,1)}
         7:{1,3,5,6}:{(3,1),(16,1),(17,1),(18,1),(27,1),(52,1),(56,1),(74,1),(130,1)}
         8:{2,3,5,6}:{(5,1),(16,1),(19,1),(20,1),(30,1),(54,1),(56,1),(77,1),(130,1)}
         9:{1,2,3,6}:{(2,1),(21,1),(22,1),(56,1),(113,1)}
        10:{1,2,5}:{(2,1),(3,1),(5,1)}
        11:{1,2,4,7}:{(2,1),(4,1),(6,1),(22,1),(24,1),(229,1)}
        12:{1,4,5}:{(3,1),(17,1),(25,1),(172,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(24,1),(26,1),(27,1),(70,1),(219,1),(222,1)}
        14:{2,4,5}:{(5,1),(19,1),(28,1),(172,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(24,1),(29,1),(30,1),(70,1),(220,1),(223,1)}
        16:{1,2,5,6}:{(7,1),(8,1),(10,1),(33,1),(34,1),(45,1),(78,1),(81,1)}
        17:{1,4,6}:{(7,1),(12,1),(35,1),(36,1),(155,1)}
        18:{1,3,5,7}:{(7,1),(34,1),(36,1),(37,1),(79,1),(86,1),(90,1),(142,1)}
        19:{2,4,6}:{(8,1),(14,1),(38,1),(39,1),(155,1)}
        20:{2,3,5,7}:{(8,1),(34,1),(39,1),(40,1),(82,1),(86,1),(93,1),(142,1)}
        21:{1,2,3,5}:{(9,1),(10,1),(41,1),(43,1),(98,1),(147,1)}
        22:{1,2,3,7}:{(9,1),(11,1),(86,1),(139,1),(230,1)}
        23:{1,2,4,5}:{(10,1),(12,1),(14,1),(33,1),(41,1),(43,1),(46,1),(49,1),(98,1)}
        24:{1,2,5,7}:{(10,1),(11,1),(13,1),(15,1),(45,1),(225,1),(228,1)}
        25:{3,4,5}:{(12,1),(35,1),(43,1),(46,1)}
        26:{1,4,5,7}:{(12,1),(13,1),(36,1),(47,1),(48,1),(90,1),(212,1),(216,1)}
        27:{1,3,6}:{(13,1),(45,1),(48,1),(101,1)}
        28:{3,4,5}:{(14,1),(38,1),(43,1),(49,1)}
        29:{2,4,5,7}:{(14,1),(15,1),(39,1),(50,1),(51,1),(93,1),(211,1),(215,1)}
        30:{2,3,6}:{(15,1),(45,1),(51,1),(101,1)}
        31:{1,4,5,6}:{(17,1),(52,1),(53,1),(74,1),(132,1)}
        32:{2,4,5,6}:{(19,1),(54,1),(55,1),(77,1),(134,1)}
        33:{1,2,4,6}:{(16,1),(17,1),(19,1),(23,1),(56,1),(57,1),(59,1),(62,1),(113,1)}
        34:{1,2,5,7}:{(16,1),(18,1),(20,1),(57,1),(58,1),(107,1),(110,1)}
        35:{3,4,6}:{(17,1),(25,1),(52,1),(56,1),(59,1),(60,1)}
        36:{1,4,7}:{(17,1),(18,1),(60,1),(165,1)}
        37:{1,3,6,7}:{(18,1),(27,1),(58,1),(61,1),(108,1),(116,1),(219,1)}
        38:{3,4,6}:{(19,1),(28,1),(54,1),(56,1),(62,1),(63,1)}
        39:{2,4,7}:{(19,1),(20,1),(63,1),(165,1)}
        40:{2,3,6,7}:{(20,1),(30,1),(58,1),(64,1),(111,1),(116,1),(220,1)}
        41:{1,2,4}:{(21,1),(65,1)}
        42:{1,2,3,5,7}:{(21,1),(22,1),(24,1),(66,1),(67,1),(70,1),(126,1),(127,1),(168,1),(201,1)}
        43:{3,5}:{(23,1),(56,1),(65,1)}
        44:{1,2,4,5,7}:{(23,1),(24,1),(26,1),(29,1),(57,1),(66,1),(70,1),(71,1),(72,1),(75,1),(117,1),(126,1),(127,1),(165,1),(172,1),(196,1),(202,1)}
        45:{1,2,6}:{(24,1),(27,1),(30,1)}
        46:{2,4,5}:{(25,1),(59,1),(69,1)}
        47:{3,4,5,7}:{(25,1),(26,1),(60,1),(70,1),(72,1),(73,1),(119,1),(165,1),(172,1),(198,1),(204,1)}
        48:{1,4,6}:{(26,1),(27,1),(73,1),(74,1)}
        49:{1,4,5}:{(28,1),(62,1),(68,1)}
        50:{3,4,5,7}:{(28,1),(29,1),(63,1),(70,1),(75,1),(76,1),(121,1),(165,1),(172,1),(197,1),(203,1)}
        51:{2,4,6}:{(29,1),(30,1),(76,1),(77,1)}
        52:{3,5,6}:{(31,1),(35,1),(78,1),(79,1)}
        53:{1,4,5,7}:{(31,1),(36,1),(79,1),(80,1),(90,1),(144,1)}
        54:{3,5,6}:{(32,1),(38,1),(81,1),(82,1)}
        55:{2,4,5,7}:{(32,1),(39,1),(82,1),(83,1),(93,1),(146,1)}
        56:{3,6}:{(33,1),(43,1),(86,1)}
        57:{1,2,4,7}:{(33,1),(34,1),(36,1),(39,1),(86,1),(88,1),(91,1),(139,1)}
        58:{1,2,6,7}:{(34,1),(37,1),(40,1),(45,1),(135,1),(137,1),(225,1)}
        59:{2,4,6}:{(35,1),(46,1),(78,1),(85,1),(88,1)}
        60:{3,4,7}:{(35,1),(36,1),(79,1),(86,1),(88,1)}
        61:{1,4,6,7}:{(36,1),(37,1),(48,1),(89,1),(90,1),(208,1),(212,1)}
        62:{1,4,6}:{(38,1),(49,1),(81,1),(84,1),(91,1)}
        63:{3,4,7}:{(38,1),(39,1),(82,1),(86,1),(91,1)}
        64:{2,4,6,7}:{(39,1),(40,1),(51,1),(92,1),(93,1),(209,1),(211,1)}
        65:{3,4}:{(41,1),(43,1)}
        66:{1,2,4,7}:{(41,1),(42,1),(96,1),(97,1),(213,1)}
        67:{1,2,3,6}:{(42,1),(45,1),(97,1),(101,1),(152,1)}
        68:{1,3,5}:{(43,1),(49,1),(84,1),(94,1),(98,1)}
        69:{2,3,5}:{(43,1),(46,1),(85,1),(95,1),(98,1)}
        70:{3,5,7}:{(43,1),(44,1),(86,1),(96,1),(101,1),(151,1),(210,1),(214,1)}
        71:{1,2,4,6}:{(44,1),(45,1),(48,1),(51,1),(101,1),(102,1),(103,1),(105,1),(152,1),(155,1)}
        72:{2,4,5,7}:{(46,1),(47,1),(88,1),(100,1),(103,1),(143,1),(182,1),(188,1)}
        73:{3,4,6}:{(47,1),(48,1),(101,1),(103,1),(104,1),(155,1)}
        74:{1,5,6}:{(48,1),(90,1),(104,1)}
        75:{1,4,5,7}:{(49,1),(50,1),(91,1),(99,1),(105,1),(145,1),(181,1),(187,1)}
        76:{3,4,6}:{(50,1),(51,1),(101,1),(105,1),(106,1),(155,1)}
        77:{2,5,6}:{(51,1),(93,1),(106,1)}
        78:{2,5,6}:{(52,1),(59,1),(107,1)}
        79:{3,5,7}:{(52,1),(53,1),(60,1),(107,1),(108,1)}
        80:{1,4,6,7}:{(53,1),(108,1),(109,1),(159,1)}
        81:{1,5,6}:{(54,1),(62,1),(110,1)}
        82:{3,5,7}:{(54,1),(55,1),(63,1),(110,1),(111,1)}
        83:{2,4,6,7}:{(55,1),(111,1),(112,1),(161,1)}
        84:{1,3,6}:{(56,1),(62,1),(68,1),(113,1),(114,1)}
        85:{2,3,6}:{(56,1),(59,1),(69,1),(113,1),(115,1)}
        86:{3,7}:{(56,1),(57,1)}
        87:{1,2,4,6,7}:{(57,1),(58,1),(61,1),(64,1),(71,1),(116,1),(117,1),(118,1),(120,1),(162,1),(165,1),(196,1)}
        88:{2,4,7}:{(59,1),(60,1),(107,1),(115,1)}
        89:{3,4,6,7}:{(60,1),(61,1),(73,1),(108,1),(116,1),(118,1),(119,1),(159,1),(165,1),(194,1),(198,1)}
        90:{1,5,7}:{(61,1),(74,1),(119,1)}
        91:{1,4,7}:{(62,1),(63,1),(110,1),(114,1)}
        92:{3,4,6,7}:{(63,1),(64,1),(76,1),(111,1),(116,1),(120,1),(121,1),(161,1),(165,1),(195,1),(197,1)}
        93:{2,5,7}:{(64,1),(77,1),(121,1)}
        94:{1,3,4}:{(65,1),(68,1),(122,1)}
        95:{2,3,4}:{(65,1),(69,1),(122,1)}
        96:{3,4,7}:{(65,1),(66,1),(70,1),(125,1),(165,1),(221,1)}
        97:{1,2,4,6}:{(66,1),(67,1),(125,1),(126,1)}
        98:{1,2,5}:{(68,1),(69,1),(113,1),(122,1)}
        99:{1,3,5,7}:{(68,1),(70,1),(75,1),(114,1),(123,1),(127,1),(128,1),(170,1)}
       100:{2,3,5,7}:{(69,1),(70,1),(72,1),(115,1),(124,1),(127,1),(129,1),(171,1)}
       101:{3,6}:{(70,1),(71,1)}
       102:{1,2,5,6}:{(71,1),(74,1),(77,1),(117,1),(126,1),(130,1),(131,1),(133,1)}
       103:{2,4,6}:{(72,1),(73,1),(129,1),(131,1)}
       104:{3,5,6}:{(73,1),(74,1),(119,1),(131,1),(132,1)}
       105:{1,4,6}:{(75,1),(76,1),(128,1),(133,1)}
       106:{3,5,6}:{(76,1),(77,1),(121,1),(133,1),(134,1)}
       107:{2,5,7}:{(78,1),(79,1),(88,1),(135,1)}
       108:{3,6,7}:{(79,1),(80,1),(135,1)}
       109:{1,5,6,7}:{(80,1),(90,1),(136,1),(208,1)}
       110:{1,5,7}:{(81,1),(82,1),(91,1),(137,1)}
       111:{3,6,7}:{(82,1),(83,1),(137,1)}
       112:{2,5,6,7}:{(83,1),(93,1),(138,1),(209,1)}
       113:{1,2,6}:{(84,1),(85,1),(98,1),(139,1)}
       114:{1,3,7}:{(84,1),(86,1),(91,1),(139,1)}
       115:{2,3,7}:{(85,1),(86,1),(88,1),(139,1)}
       116:{3,6,7}:{(86,1),(87,1),(101,1),(142,1),(210,1)}
       117:{1,2,5,7}:{(87,1),(90,1),(93,1),(102,1),(142,1),(143,1),(145,1)}
       118:{2,4,6,7}:{(88,1),(89,1),(103,1),(135,1),(141,1),(143,1),(182,1)}
       119:{3,5,7}:{(89,1),(90,1),(104,1),(143,1),(144,1)}
       120:{1,4,6,7}:{(91,1),(92,1),(105,1),(137,1),(140,1),(145,1),(181,1)}
       121:{3,5,7}:{(92,1),(93,1),(106,1),(145,1),(146,1)}
       122:{1,2,4}:{(94,1),(95,1),(98,1),(147,1)}
       123:{1,3,4,7}:{(94,1),(96,1),(99,1),(148,1),(149,1),(181,1),(210,1)}
       124:{2,3,4,7}:{(95,1),(96,1),(100,1),(148,1),(150,1),(182,1),(210,1)}
       125:{3,4,6}:{(96,1),(97,1),(101,1),(151,1),(155,1)}
       126:{1,2,5}:{(97,1),(151,1)}
       127:{1,2,5,7}:{(98,1),(99,1),(100,1),(139,1),(148,1),(152,1),(186,1)}
       128:{1,3,6}:{(99,1),(101,1),(105,1),(152,1)}
       129:{2,3,6}:{(100,1),(101,1),(103,1),(152,1)}
       130:{3,5,6}:{(101,1),(102,1),(142,1),(151,1),(155,1)}
       131:{2,5,6}:{(103,1),(104,1),(143,1)}
       132:{4,5,6}:{(104,1),(144,1),(155,1)}
       133:{1,5,6}:{(105,1),(106,1),(145,1)}
       134:{4,5,6}:{(106,1),(146,1),(155,1)}
       135:{2,6,7}:{(107,1),(108,1)}
       136:{3,5,6,7}:{(108,1),(109,1),(119,1),(158,1),(159,1),(194,1)}
       137:{1,6,7}:{(110,1),(111,1)}
       138:{3,5,6,7}:{(111,1),(112,1),(121,1),(160,1),(161,1),(195,1)}
       139:{1,2,7}:{(113,1),(114,1),(115,1)}
       140:{1,3,6,7}:{(114,1),(116,1),(120,1),(128,1),(162,1),(163,1),(195,1)}
       141:{2,3,6,7}:{(115,1),(116,1),(118,1),(129,1),(162,1),(164,1),(194,1)}
       142:{3,5,7}:{(116,1),(117,1),(130,1),(165,1)}
       143:{2,5,7}:{(118,1),(119,1),(131,1)}
       144:{4,5,7}:{(119,1),(132,1),(159,1),(165,1)}
       145:{1,5,7}:{(120,1),(121,1),(133,1)}
       146:{4,5,7}:{(121,1),(134,1),(161,1),(165,1)}
       147:{1,2,3}:{(122,1)}
       148:{1,2,4,7}:{(122,1),(123,1),(124,1),(127,1),(168,1),(169,1)}
       149:{1,3,4,6}:{(123,1),(125,1),(128,1),(169,1),(170,1),(174,1),(205,1),(221,1)}
       150:{2,3,4,6}:{(124,1),(125,1),(129,1),(169,1),(171,1),(175,1),(205,1),(221,1)}
       151:{3,5}:{(125,1),(126,1),(172,1)}
       152:{1,2,6}:{(127,1),(128,1),(129,1)}
       153:{1,3,5,6}:{(128,1),(130,1),(133,1),(163,1),(170,1),(173,1),(174,1),(177,1),(205,1)}
       154:{2,3,5,6}:{(129,1),(130,1),(131,1),(164,1),(171,1),(173,1),(175,1),(176,1),(205,1)}
       155:{4,6}:{(130,1),(165,1),(172,1)}
       156:{2,4,5,6}:{(131,1),(132,1),(166,1),(175,1),(176,1)}
       157:{1,4,5,6}:{(133,1),(134,1),(167,1),(174,1),(177,1)}
       158:{2,5,6,7}:{(135,1),(136,1),(143,1),(178,1)}
       159:{4,6,7}:{(136,1),(144,1)}
       160:{1,5,6,7}:{(137,1),(138,1),(145,1),(179,1)}
       161:{4,6,7}:{(138,1),(146,1)}
       162:{1,2,6,7}:{(139,1),(140,1),(141,1),(152,1),(180,1),(208,1),(209,1)}
       163:{1,3,5,7}:{(140,1),(142,1),(145,1),(153,1),(180,1),(181,1),(184,1),(210,1)}
       164:{2,3,5,7}:{(141,1),(142,1),(143,1),(154,1),(180,1),(182,1),(183,1),(210,1)}
       165:{4,7}:{(142,1),(155,1)}
       166:{2,4,5,7}:{(143,1),(144,1),(156,1),(178,1),(182,1),(183,1)}
       167:{1,4,5,7}:{(145,1),(146,1),(157,1),(179,1),(181,1),(184,1)}
       168:{1,2,3,7}:{(147,1),(148,1),(185,1),(210,1),(225,1)}
       169:{1,2,4,6}:{(148,1),(149,1),(150,1),(152,1),(185,1),(186,1),(213,1)}
       170:{1,3,5}:{(149,1),(151,1),(186,1),(187,1),(214,1)}
       171:{2,3,5}:{(150,1),(151,1),(186,1),(188,1),(214,1)}
       172:{4,5}:{(151,1),(155,1)}
       173:{1,2,5,6}:{(152,1),(153,1),(154,1),(180,1),(186,1),(189,1),(192,1),(193,1)}
       174:{1,4,6}:{(153,1),(155,1),(181,1),(187,1),(190,1)}
       175:{2,4,6}:{(154,1),(155,1),(182,1),(188,1),(191,1)}
       176:{3,5,6}:{(156,1),(183,1),(191,1),(192,1)}
       177:{3,5,6}:{(157,1),(184,1),(190,1),(193,1)}
       178:{2,4,6,7}:{(158,1),(159,1),(166,1),(194,1)}
       179:{1,4,6,7}:{(160,1),(161,1),(167,1),(195,1)}
       180:{1,2,5,7}:{(162,1),(163,1),(164,1),(173,1),(196,1),(199,1),(200,1)}
       181:{1,4,7}:{(163,1),(165,1),(174,1),(197,1)}
       182:{2,4,7}:{(164,1),(165,1),(175,1),(198,1)}
       183:{3,5,7}:{(166,1),(176,1),(194,1),(198,1),(199,1)}
       184:{3,5,7}:{(167,1),(177,1),(195,1),(197,1),(200,1)}
       185:{1,2,3,6}:{(168,1),(169,1),(201,1),(205,1),(224,1)}
       186:{1,2,5}:{(169,1),(170,1),(171,1)}
       187:{1,4,5}:{(170,1),(172,1),(174,1),(203,1)}
       188:{2,4,5}:{(171,1),(172,1),(175,1),(204,1)}
       189:{1,2,4,6}:{(173,1),(174,1),(175,1),(196,1),(202,1),(205,1),(206,1),(207,1),(224,1)}
       190:{3,4,6}:{(174,1),(177,1),(197,1),(203,1),(205,1),(206,1)}
       191:{3,4,6}:{(175,1),(176,1),(198,1),(204,1),(205,1),(207,1)}
       192:{1,5,6}:{(176,1),(199,1),(207,1)}
       193:{2,5,6}:{(177,1),(200,1),(206,1)}
       194:{3,6,7}:{(178,1),(183,1),(208,1)}
       195:{3,6,7}:{(179,1),(184,1),(209,1)}
       196:{1,2,4,7}:{(180,1),(181,1),(182,1),(189,1),(210,1),(211,1),(212,1),(225,1)}
       197:{3,4,7}:{(181,1),(184,1),(190,1),(210,1),(211,1)}
       198:{3,4,7}:{(182,1),(183,1),(191,1),(210,1),(212,1)}
       199:{1,5,7}:{(183,1),(192,1),(208,1),(212,1)}
       200:{2,5,7}:{(184,1),(193,1),(209,1),(211,1)}
       201:{1,2,3,5}:{(185,1),(186,1),(213,1),(214,1),(228,1),(230,1)}
       202:{1,2,4,5}:{(186,1),(187,1),(188,1),(189,1),(213,1),(214,1),(215,1),(216,1),(228,1)}
       203:{3,4,5}:{(187,1),(190,1),(214,1),(215,1)}
       204:{3,4,5}:{(188,1),(191,1),(214,1),(216,1)}
       205:{3,6}:{(189,1),(210,1),(214,1)}
       206:{2,4,6}:{(190,1),(193,1),(211,1),(215,1),(218,1)}
       207:{1,4,6}:{(191,1),(192,1),(212,1),(216,1),(217,1)}
       208:{1,6,7}:{(194,1),(199,1)}
       209:{2,6,7}:{(195,1),(200,1)}
       210:{3,7}:{(196,1),(205,1)}
       211:{2,4,7}:{(197,1),(200,1),(206,1),(220,1)}
       212:{1,4,7}:{(198,1),(199,1),(207,1),(219,1)}
       213:{1,2,4}:{(201,1),(221,1)}
       214:{3,5}:{(202,1),(205,1),(221,1)}
       215:{2,4,5}:{(203,1),(206,1),(223,1)}
       216:{1,4,5}:{(204,1),(207,1),(222,1)}
       217:{1,3,6}:{(205,1),(207,1),(219,1),(222,1),(224,1)}
       218:{2,3,6}:{(205,1),(206,1),(220,1),(223,1),(224,1)}
       219:{1,3,7}:{(210,1),(212,1),(217,1),(225,1)}
       220:{2,3,7}:{(210,1),(211,1),(218,1),(225,1)}
       221:{3,4}:{(213,1),(214,1)}
       222:{1,3,5}:{(214,1),(216,1),(217,1),(226,1),(228,1)}
       223:{2,3,5}:{(214,1),(215,1),(218,1),(227,1),(228,1)}
       224:{1,2,6}:{(217,1),(218,1),(225,1),(228,1)}
       225:{1,2,7}:{(219,1),(220,1),(224,1)}
       226:{1,3,4}:{(221,1),(222,1),(229,1)}
       227:{2,3,4}:{(221,1),(223,1),(229,1)}
       228:{1,2,5}:{(222,1),(223,1),(224,1),(229,1)}
       229:{1,2,4}:{(226,1),(227,1),(228,1),(230,1)}
       230:{1,2,3}:{(229,1)}

 613 :   0:{1,2,3,6}:{(3,1),(4,1),(5,1),(59,1),(117,1)}
         1:{2,3,4,6}:{(3,1),(6,1),(7,1),(23,1),(26,1),(30,1),(59,1),(69,1)}
         2:{1,3,4,6}:{(3,1),(8,1),(9,1),(23,1),(31,1),(35,1),(59,1),(69,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(2,1),(10,1),(11,1),(12,1),(40,1)}
         4:{1,2,3,5}:{(0,1),(10,1),(12,1),(38,1),(91,1),(96,1)}
         5:{1,2,3,7}:{(0,1),(11,1),(89,1),(145,1),(230,1)}
         6:{2,3,5}:{(1,1),(10,1),(15,1),(38,1),(100,1)}
         7:{2,3,4,7}:{(1,1),(11,1),(16,1),(43,1),(47,1),(89,1),(221,1)}
         8:{1,3,5}:{(2,1),(10,1),(18,1),(38,1),(100,1)}
         9:{1,3,4,7}:{(2,1),(11,1),(19,1),(43,1),(54,1),(89,1),(220,1)}
        10:{1,2,5}:{(3,1),(6,1),(8,1)}
        11:{1,2,4,7}:{(3,1),(5,1),(7,1),(9,1),(22,1),(228,1)}
        12:{1,2,4}:{(4,1),(23,1)}
        13:{1,2,3,5,7}:{(4,1),(5,1),(22,1),(24,1),(25,1),(64,1),(70,1),(122,1),(126,1),(174,1)}
        14:{2,3,5,6}:{(6,1),(20,1),(26,1),(27,1),(30,1),(59,1),(71,1),(78,1),(125,1)}
        15:{2,4,5}:{(6,1),(26,1),(28,1),(130,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(22,1),(29,1),(30,1),(64,1),(210,1),(226,1)}
        17:{1,3,5,6}:{(8,1),(20,1),(31,1),(32,1),(35,1),(59,1),(79,1),(86,1),(125,1)}
        18:{1,4,5}:{(8,1),(31,1),(33,1),(130,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(22,1),(34,1),(35,1),(64,1),(209,1),(225,1)}
        20:{1,2,5,6}:{(10,1),(14,1),(17,1),(36,1),(37,1),(40,1),(101,1),(109,1)}
        21:{1,2,4,5}:{(10,1),(12,1),(15,1),(18,1),(36,1),(38,1),(49,1),(56,1),(91,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(16,1),(19,1),(40,1),(222,1),(229,1)}
        23:{3,4}:{(12,1),(38,1)}
        24:{1,2,4,7}:{(12,1),(13,1),(43,1),(44,1),(192,1)}
        25:{1,2,3,6}:{(13,1),(40,1),(44,1),(94,1),(149,1)}
        26:{2,4,6}:{(14,1),(15,1),(46,1),(47,1),(152,1)}
        27:{2,3,5,7}:{(14,1),(37,1),(47,1),(48,1),(89,1),(102,1),(106,1),(148,1)}
        28:{3,4,5}:{(15,1),(38,1),(46,1),(49,1)}
        29:{2,4,5,7}:{(15,1),(16,1),(47,1),(50,1),(51,1),(106,1),(194,1),(216,1)}
        30:{2,3,6}:{(16,1),(40,1),(51,1),(94,1)}
        31:{1,4,6}:{(17,1),(18,1),(53,1),(54,1),(152,1)}
        32:{1,3,5,7}:{(17,1),(37,1),(54,1),(55,1),(89,1),(110,1),(114,1),(148,1)}
        33:{3,4,5}:{(18,1),(38,1),(53,1),(56,1)}
        34:{1,4,5,7}:{(18,1),(19,1),(54,1),(57,1),(58,1),(114,1),(195,1),(217,1)}
        35:{1,3,6}:{(19,1),(40,1),(58,1),(94,1)}
        36:{1,2,4,6}:{(20,1),(21,1),(26,1),(31,1),(59,1),(60,1),(73,1),(81,1),(117,1)}
        37:{1,2,5,7}:{(20,1),(27,1),(32,1),(60,1),(61,1),(131,1),(138,1)}
        38:{3,5}:{(21,1),(23,1),(59,1)}
        39:{1,2,4,5,7}:{(21,1),(22,1),(24,1),(29,1),(34,1),(60,1),(64,1),(65,1),(70,1),(76,1),(84,1),(121,1),(122,1),(130,1),(170,1),(175,1),(202,1)}
        40:{1,2,6}:{(22,1),(30,1),(35,1)}
        41:{1,3,4}:{(23,1),(62,1),(66,1)}
        42:{2,3,4}:{(23,1),(63,1),(66,1)}
        43:{3,4,7}:{(23,1),(24,1),(64,1),(69,1),(170,1),(208,1)}
        44:{1,2,4,6}:{(24,1),(25,1),(69,1),(70,1)}
        45:{2,4,5,6}:{(26,1),(71,1),(72,1),(78,1),(137,1)}
        46:{3,4,6}:{(26,1),(28,1),(59,1),(71,1),(73,1),(74,1)}
        47:{2,4,7}:{(26,1),(27,1),(74,1),(170,1)}
        48:{2,3,6,7}:{(27,1),(30,1),(61,1),(75,1),(120,1),(132,1),(226,1)}
        49:{1,4,5}:{(28,1),(62,1),(73,1)}
        50:{3,4,5,7}:{(28,1),(29,1),(64,1),(74,1),(76,1),(77,1),(130,1),(135,1),(170,1),(176,1),(203,1)}
        51:{2,4,6}:{(29,1),(30,1),(77,1),(78,1)}
        52:{1,4,5,6}:{(31,1),(79,1),(80,1),(86,1),(144,1)}
        53:{3,4,6}:{(31,1),(33,1),(59,1),(79,1),(81,1),(82,1)}
        54:{1,4,7}:{(31,1),(32,1),(82,1),(170,1)}
        55:{1,3,6,7}:{(32,1),(35,1),(61,1),(83,1),(120,1),(139,1),(225,1)}
        56:{2,4,5}:{(33,1),(63,1),(81,1)}
        57:{3,4,5,7}:{(33,1),(34,1),(64,1),(82,1),(84,1),(85,1),(130,1),(142,1),(170,1),(177,1),(204,1)}
        58:{1,4,6}:{(34,1),(35,1),(85,1),(86,1)}
        59:{3,6}:{(36,1),(38,1),(89,1)}
        60:{1,2,4,7}:{(36,1),(37,1),(47,1),(54,1),(89,1),(104,1),(112,1),(145,1)}
        61:{1,2,6,7}:{(37,1),(40,1),(48,1),(55,1),(157,1),(162,1),(229,1)}
        62:{1,3,5}:{(38,1),(41,1),(49,1),(87,1),(91,1)}
        63:{2,3,5}:{(38,1),(42,1),(56,1),(88,1),(91,1)}
        64:{3,5,7}:{(38,1),(39,1),(43,1),(89,1),(94,1),(100,1),(193,1),(215,1)}
        65:{1,2,4,6}:{(39,1),(40,1),(51,1),(58,1),(94,1),(95,1),(107,1),(115,1),(149,1),(152,1)}
        66:{1,2,4}:{(41,1),(42,1),(91,1),(96,1)}
        67:{1,3,4,7}:{(41,1),(43,1),(92,1),(97,1),(98,1),(187,1),(215,1)}
        68:{2,3,4,7}:{(42,1),(43,1),(93,1),(97,1),(99,1),(188,1),(215,1)}
        69:{3,4,6}:{(43,1),(44,1),(94,1),(100,1),(152,1)}
        70:{1,2,5}:{(44,1),(100,1)}
        71:{3,5,6}:{(45,1),(46,1),(101,1),(102,1)}
        72:{2,4,5,7}:{(45,1),(47,1),(102,1),(103,1),(106,1),(160,1)}
        73:{1,4,6}:{(46,1),(49,1),(87,1),(101,1),(104,1)}
        74:{3,4,7}:{(46,1),(47,1),(89,1),(102,1),(104,1)}
        75:{2,4,6,7}:{(47,1),(48,1),(51,1),(105,1),(106,1),(216,1),(223,1)}
        76:{1,4,5,7}:{(49,1),(50,1),(92,1),(104,1),(107,1),(155,1),(159,1),(187,1)}
        77:{3,4,6}:{(50,1),(51,1),(94,1),(107,1),(108,1),(152,1)}
        78:{2,5,6}:{(51,1),(106,1),(108,1)}
        79:{3,5,6}:{(52,1),(53,1),(109,1),(110,1)}
        80:{1,4,5,7}:{(52,1),(54,1),(110,1),(111,1),(114,1),(165,1)}
        81:{2,4,6}:{(53,1),(56,1),(88,1),(109,1),(112,1)}
        82:{3,4,7}:{(53,1),(54,1),(89,1),(110,1),(112,1)}
        83:{1,4,6,7}:{(54,1),(55,1),(58,1),(113,1),(114,1),(217,1),(224,1)}
        84:{2,4,5,7}:{(56,1),(57,1),(93,1),(112,1),(115,1),(156,1),(164,1),(188,1)}
        85:{3,4,6}:{(57,1),(58,1),(94,1),(115,1),(116,1),(152,1)}
        86:{1,5,6}:{(58,1),(114,1),(116,1)}
        87:{1,3,6}:{(59,1),(62,1),(73,1),(117,1),(118,1)}
        88:{2,3,6}:{(59,1),(63,1),(81,1),(117,1),(119,1)}
        89:{3,7}:{(59,1),(60,1)}
        90:{1,2,4,6,7}:{(60,1),(61,1),(65,1),(75,1),(83,1),(120,1),(121,1),(134,1),(141,1),(167,1),(170,1),(202,1)}
        91:{1,2,5}:{(62,1),(63,1),(66,1),(117,1)}
        92:{1,3,5,7}:{(62,1),(64,1),(67,1),(76,1),(118,1),(122,1),(123,1),(128,1)}
        93:{2,3,5,7}:{(63,1),(64,1),(68,1),(84,1),(119,1),(122,1),(124,1),(129,1)}
        94:{3,6}:{(64,1),(65,1)}
        95:{1,2,5,6}:{(65,1),(70,1),(78,1),(86,1),(121,1),(125,1),(136,1),(143,1)}
        96:{1,2,3}:{(66,1)}
        97:{1,2,4,7}:{(66,1),(67,1),(68,1),(122,1),(126,1),(127,1)}
        98:{1,3,4,6}:{(67,1),(69,1),(123,1),(127,1),(128,1),(172,1),(205,1),(208,1)}
        99:{2,3,4,6}:{(68,1),(69,1),(124,1),(127,1),(129,1),(173,1),(205,1),(208,1)}
       100:{3,5}:{(69,1),(70,1),(130,1)}
       101:{1,5,6}:{(71,1),(73,1),(131,1)}
       102:{3,5,7}:{(71,1),(72,1),(74,1),(131,1),(132,1)}
       103:{2,4,6,7}:{(72,1),(132,1),(133,1),(179,1)}
       104:{1,4,7}:{(73,1),(74,1),(118,1),(131,1)}
       105:{3,4,6,7}:{(74,1),(75,1),(77,1),(120,1),(132,1),(134,1),(135,1),(170,1),(179,1),(203,1),(211,1)}
       106:{2,5,7}:{(75,1),(78,1),(135,1)}
       107:{1,4,6}:{(76,1),(77,1),(123,1),(136,1)}
       108:{3,5,6}:{(77,1),(78,1),(135,1),(136,1),(137,1)}
       109:{2,5,6}:{(79,1),(81,1),(138,1)}
       110:{3,5,7}:{(79,1),(80,1),(82,1),(138,1),(139,1)}
       111:{1,4,6,7}:{(80,1),(139,1),(140,1),(183,1)}
       112:{2,4,7}:{(81,1),(82,1),(119,1),(138,1)}
       113:{3,4,6,7}:{(82,1),(83,1),(85,1),(120,1),(139,1),(141,1),(142,1),(170,1),(183,1),(204,1),(213,1)}
       114:{1,5,7}:{(83,1),(86,1),(142,1)}
       115:{2,4,6}:{(84,1),(85,1),(124,1),(143,1)}
       116:{3,5,6}:{(85,1),(86,1),(142,1),(143,1),(144,1)}
       117:{1,2,6}:{(87,1),(88,1),(91,1),(145,1)}
       118:{1,3,7}:{(87,1),(89,1),(104,1),(145,1)}
       119:{2,3,7}:{(88,1),(89,1),(112,1),(145,1)}
       120:{3,6,7}:{(89,1),(90,1),(94,1),(148,1),(215,1)}
       121:{1,2,5,7}:{(90,1),(95,1),(106,1),(114,1),(148,1),(159,1),(164,1)}
       122:{1,2,5,7}:{(91,1),(92,1),(93,1),(97,1),(145,1),(149,1),(154,1)}
       123:{1,3,6}:{(92,1),(94,1),(107,1),(149,1)}
       124:{2,3,6}:{(93,1),(94,1),(115,1),(149,1)}
       125:{3,5,6}:{(94,1),(95,1),(100,1),(148,1),(152,1)}
       126:{1,2,3,7}:{(96,1),(97,1),(153,1),(215,1),(229,1)}
       127:{1,2,4,6}:{(97,1),(98,1),(99,1),(149,1),(153,1),(154,1),(192,1)}
       128:{1,3,5}:{(98,1),(100,1),(154,1),(155,1),(193,1)}
       129:{2,3,5}:{(99,1),(100,1),(154,1),(156,1),(193,1)}
       130:{4,5}:{(100,1),(152,1)}
       131:{1,5,7}:{(101,1),(102,1),(104,1),(157,1)}
       132:{3,6,7}:{(102,1),(103,1),(157,1)}
       133:{2,5,6,7}:{(103,1),(106,1),(158,1),(223,1)}
       134:{1,4,6,7}:{(104,1),(105,1),(107,1),(146,1),(157,1),(159,1),(187,1)}
       135:{3,5,7}:{(105,1),(106,1),(108,1),(159,1),(160,1)}
       136:{1,5,6}:{(107,1),(108,1),(159,1)}
       137:{4,5,6}:{(108,1),(152,1),(160,1)}
       138:{2,5,7}:{(109,1),(110,1),(112,1),(162,1)}
       139:{3,6,7}:{(110,1),(111,1),(162,1)}
       140:{1,5,6,7}:{(111,1),(114,1),(163,1),(224,1)}
       141:{2,4,6,7}:{(112,1),(113,1),(115,1),(147,1),(162,1),(164,1),(188,1)}
       142:{3,5,7}:{(113,1),(114,1),(116,1),(164,1),(165,1)}
       143:{2,5,6}:{(115,1),(116,1),(164,1)}
       144:{4,5,6}:{(116,1),(152,1),(165,1)}
       145:{1,2,7}:{(117,1),(118,1),(119,1)}
       146:{1,3,6,7}:{(118,1),(120,1),(123,1),(134,1),(167,1),(168,1),(211,1)}
       147:{2,3,6,7}:{(119,1),(120,1),(124,1),(141,1),(167,1),(169,1),(213,1)}
       148:{3,5,7}:{(120,1),(121,1),(125,1),(170,1)}
       149:{1,2,6}:{(122,1),(123,1),(124,1)}
       150:{1,3,5,6}:{(123,1),(125,1),(128,1),(136,1),(168,1),(171,1),(172,1),(181,1),(205,1)}
       151:{2,3,5,6}:{(124,1),(125,1),(129,1),(143,1),(169,1),(171,1),(173,1),(185,1),(205,1)}
       152:{4,6}:{(125,1),(130,1),(170,1)}
       153:{1,2,3,6}:{(126,1),(127,1),(174,1),(205,1),(227,1)}
       154:{1,2,5}:{(127,1),(128,1),(129,1)}
       155:{1,4,5}:{(128,1),(130,1),(172,1),(176,1)}
       156:{2,4,5}:{(129,1),(130,1),(173,1),(177,1)}
       157:{1,6,7}:{(131,1),(132,1)}
       158:{3,5,6,7}:{(132,1),(133,1),(135,1),(178,1),(179,1),(211,1)}
       159:{1,5,7}:{(134,1),(135,1),(136,1)}
       160:{4,5,7}:{(135,1),(137,1),(170,1),(179,1)}
       161:{1,4,5,6}:{(136,1),(137,1),(172,1),(180,1),(181,1)}
       162:{2,6,7}:{(138,1),(139,1)}
       163:{3,5,6,7}:{(139,1),(140,1),(142,1),(182,1),(183,1),(213,1)}
       164:{2,5,7}:{(141,1),(142,1),(143,1)}
       165:{4,5,7}:{(142,1),(144,1),(170,1),(183,1)}
       166:{2,4,5,6}:{(143,1),(144,1),(173,1),(184,1),(185,1)}
       167:{1,2,6,7}:{(145,1),(146,1),(147,1),(149,1),(186,1),(223,1),(224,1)}
       168:{1,3,5,7}:{(146,1),(148,1),(150,1),(159,1),(186,1),(187,1),(197,1),(215,1)}
       169:{2,3,5,7}:{(147,1),(148,1),(151,1),(164,1),(186,1),(188,1),(200,1),(215,1)}
       170:{4,7}:{(148,1),(152,1)}
       171:{1,2,5,6}:{(149,1),(150,1),(151,1),(154,1),(186,1),(189,1),(198,1),(201,1)}
       172:{1,4,6}:{(150,1),(152,1),(155,1),(187,1),(190,1)}
       173:{2,4,6}:{(151,1),(152,1),(156,1),(188,1),(191,1)}
       174:{1,2,3,5}:{(153,1),(154,1),(192,1),(193,1),(222,1),(230,1)}
       175:{1,2,4,5}:{(154,1),(155,1),(156,1),(189,1),(192,1),(193,1),(194,1),(195,1),(222,1)}
       176:{3,4,5}:{(155,1),(190,1),(193,1),(194,1)}
       177:{3,4,5}:{(156,1),(191,1),(193,1),(195,1)}
       178:{1,5,6,7}:{(157,1),(158,1),(159,1),(196,1)}
       179:{4,6,7}:{(158,1),(160,1)}
       180:{1,4,5,7}:{(159,1),(160,1),(161,1),(187,1),(196,1),(197,1)}
       181:{3,5,6}:{(161,1),(190,1),(197,1),(198,1)}
       182:{2,5,6,7}:{(162,1),(163,1),(164,1),(199,1)}
       183:{4,6,7}:{(163,1),(165,1)}
       184:{2,4,5,7}:{(164,1),(165,1),(166,1),(188,1),(199,1),(200,1)}
       185:{3,5,6}:{(166,1),(191,1),(200,1),(201,1)}
       186:{1,2,5,7}:{(167,1),(168,1),(169,1),(171,1),(202,1),(212,1),(214,1)}
       187:{1,4,7}:{(168,1),(170,1),(172,1),(203,1)}
       188:{2,4,7}:{(169,1),(170,1),(173,1),(204,1)}
       189:{1,2,4,6}:{(171,1),(172,1),(173,1),(175,1),(202,1),(205,1),(206,1),(207,1),(227,1)}
       190:{3,4,6}:{(172,1),(176,1),(181,1),(203,1),(205,1),(206,1)}
       191:{3,4,6}:{(173,1),(177,1),(185,1),(204,1),(205,1),(207,1)}
       192:{1,2,4}:{(174,1),(208,1)}
       193:{3,5}:{(175,1),(205,1),(208,1)}
       194:{2,4,5}:{(176,1),(206,1),(210,1)}
       195:{1,4,5}:{(177,1),(207,1),(209,1)}
       196:{1,4,6,7}:{(178,1),(179,1),(180,1),(211,1)}
       197:{3,5,7}:{(180,1),(181,1),(203,1),(211,1),(212,1)}
       198:{2,5,6}:{(181,1),(206,1),(212,1)}
       199:{2,4,6,7}:{(182,1),(183,1),(184,1),(213,1)}
       200:{3,5,7}:{(184,1),(185,1),(204,1),(213,1),(214,1)}
       201:{1,5,6}:{(185,1),(207,1),(214,1)}
       202:{1,2,4,7}:{(186,1),(187,1),(188,1),(189,1),(215,1),(216,1),(217,1),(229,1)}
       203:{3,4,7}:{(187,1),(190,1),(197,1),(215,1),(216,1)}
       204:{3,4,7}:{(188,1),(191,1),(200,1),(215,1),(217,1)}
       205:{3,6}:{(189,1),(193,1),(215,1)}
       206:{2,4,6}:{(190,1),(194,1),(198,1),(216,1),(219,1)}
       207:{1,4,6}:{(191,1),(195,1),(201,1),(217,1),(218,1)}
       208:{3,4}:{(192,1),(193,1)}
       209:{1,3,5}:{(193,1),(195,1),(218,1),(220,1),(222,1)}
       210:{2,3,5}:{(193,1),(194,1),(219,1),(221,1),(222,1)}
       211:{3,6,7}:{(196,1),(197,1),(223,1)}
       212:{2,5,7}:{(197,1),(198,1),(216,1),(223,1)}
       213:{3,6,7}:{(199,1),(200,1),(224,1)}
       214:{1,5,7}:{(200,1),(201,1),(217,1),(224,1)}
       215:{3,7}:{(202,1),(205,1)}
       216:{2,4,7}:{(203,1),(206,1),(212,1),(226,1)}
       217:{1,4,7}:{(204,1),(207,1),(214,1),(225,1)}
       218:{1,3,6}:{(205,1),(207,1),(209,1),(225,1),(227,1)}
       219:{2,3,6}:{(205,1),(206,1),(210,1),(226,1),(227,1)}
       220:{1,3,4}:{(208,1),(209,1),(228,1)}
       221:{2,3,4}:{(208,1),(210,1),(228,1)}
       222:{1,2,5}:{(209,1),(210,1),(227,1),(228,1)}
       223:{2,6,7}:{(211,1),(212,1)}
       224:{1,6,7}:{(213,1),(214,1)}
       225:{1,3,7}:{(215,1),(217,1),(218,1),(229,1)}
       226:{2,3,7}:{(215,1),(216,1),(219,1),(229,1)}
       227:{1,2,6}:{(218,1),(219,1),(222,1),(229,1)}
       228:{1,2,4}:{(220,1),(221,1),(222,1),(230,1)}
       229:{1,2,7}:{(225,1),(226,1),(227,1)}
       230:{1,2,3}:{(228,1)}

 614 :   0:{1,2,3,7}:{(3,1),(5,1),(132,1),(189,1),(230,1)}
         1:{2,3,4,7}:{(3,1),(6,1),(7,1),(24,1),(80,1),(132,1),(221,1)}
         2:{1,3,4,7}:{(3,1),(8,1),(9,1),(24,1),(88,1),(132,1),(220,1)}
         3:{1,2,4,7}:{(0,1),(1,1),(2,1),(10,1),(11,1),(228,1)}
         4:{1,2,3,5,7}:{(0,1),(10,1),(12,1),(13,1),(14,1),(37,1),(45,1),(91,1),(101,1),(167,1)}
         5:{1,2,3,6}:{(0,1),(11,1),(14,1),(98,1),(166,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(15,1),(16,1),(17,1),(37,1),(210,1),(226,1)}
         7:{2,3,4,6}:{(1,1),(11,1),(16,1),(17,1),(44,1),(46,1),(52,1),(98,1)}
         8:{1,3,5,7}:{(2,1),(10,1),(18,1),(19,1),(20,1),(37,1),(209,1),(225,1)}
         9:{1,3,4,6}:{(2,1),(11,1),(19,1),(20,1),(44,1),(46,1),(59,1),(98,1)}
        10:{1,2,5,7}:{(3,1),(6,1),(8,1),(22,1),(23,1),(222,1),(229,1)}
        11:{1,2,4,6}:{(3,1),(5,1),(7,1),(9,1),(22,1),(23,1),(26,1)}
        12:{1,2,4,7}:{(4,1),(24,1),(25,1),(26,1),(190,1)}
        13:{1,2,3,6}:{(4,1),(22,1),(25,1),(63,1),(125,1)}
        14:{1,2,3,5}:{(5,1),(23,1),(26,1),(68,1),(135,1),(140,1)}
        15:{2,4,5,7}:{(6,1),(27,1),(28,1),(31,1),(78,1),(80,1),(192,1),(218,1)}
        16:{2,3,6}:{(6,1),(22,1),(28,1),(63,1)}
        17:{2,3,5}:{(7,1),(23,1),(31,1),(68,1),(72,1)}
        18:{1,4,5,7}:{(8,1),(32,1),(33,1),(36,1),(86,1),(88,1),(193,1),(219,1)}
        19:{1,3,6}:{(8,1),(22,1),(33,1),(63,1)}
        20:{1,3,5}:{(9,1),(23,1),(36,1),(68,1),(72,1)}
        21:{1,2,4,5,7}:{(10,1),(12,1),(15,1),(18,1),(37,1),(38,1),(41,1),(45,1),(47,1),(54,1),(91,1),(96,1),(97,1),(105,1),(163,1),(168,1),(202,1)}
        22:{1,2,6}:{(10,1),(16,1),(19,1)}
        23:{1,2,5}:{(11,1),(17,1),(20,1)}
        24:{3,4,7}:{(12,1),(37,1),(44,1),(46,1),(163,1),(208,1)}
        25:{1,2,4,6}:{(12,1),(13,1),(44,1),(45,1)}
        26:{1,2,4}:{(14,1),(46,1)}
        27:{3,4,5,7}:{(15,1),(37,1),(47,1),(48,1),(53,1),(105,1),(109,1),(114,1),(163,1),(169,1),(204,1)}
        28:{2,4,6}:{(15,1),(16,1),(48,1),(50,1)}
        29:{2,3,6,7}:{(16,1),(39,1),(49,1),(51,1),(94,1),(175,1),(226,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(40,1),(50,1),(51,1),(52,1),(95,1),(98,1),(113,1)}
        31:{2,4,5}:{(17,1),(52,1),(53,1),(105,1)}
        32:{3,4,5,7}:{(18,1),(37,1),(54,1),(55,1),(60,1),(105,1),(118,1),(123,1),(163,1),(170,1),(206,1)}
        33:{1,4,6}:{(18,1),(19,1),(55,1),(57,1)}
        34:{1,3,6,7}:{(19,1),(39,1),(56,1),(58,1),(94,1),(181,1),(225,1)}
        35:{1,3,5,6}:{(19,1),(20,1),(40,1),(57,1),(58,1),(59,1),(95,1),(98,1),(122,1)}
        36:{1,4,5}:{(20,1),(59,1),(60,1),(105,1)}
        37:{3,5,7}:{(21,1),(24,1),(63,1),(68,1),(72,1),(132,1),(191,1),(215,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(28,1),(33,1),(63,1),(65,1),(75,1),(83,1),(125,1),(131,1)}
        39:{1,2,6,7}:{(22,1),(29,1),(34,1),(66,1),(197,1),(201,1),(229,1)}
        40:{1,2,5,6}:{(22,1),(23,1),(30,1),(35,1),(66,1),(67,1),(147,1),(155,1)}
        41:{1,2,4,5}:{(23,1),(26,1),(31,1),(36,1),(67,1),(68,1),(82,1),(90,1),(135,1)}
        42:{1,3,4,7}:{(24,1),(61,1),(69,1),(70,1),(73,1),(185,1),(215,1)}
        43:{2,3,4,7}:{(24,1),(62,1),(69,1),(71,1),(74,1),(187,1),(215,1)}
        44:{3,4,6}:{(24,1),(25,1),(63,1),(72,1),(131,1)}
        45:{1,2,5}:{(25,1),(72,1)}
        46:{3,4}:{(26,1),(68,1)}
        47:{1,4,5,7}:{(27,1),(61,1),(75,1),(82,1),(138,1),(141,1),(148,1),(185,1)}
        48:{3,4,6}:{(27,1),(28,1),(63,1),(75,1),(77,1),(131,1)}
        49:{2,4,6,7}:{(28,1),(29,1),(76,1),(78,1),(80,1),(218,1),(223,1)}
        50:{2,5,6}:{(28,1),(77,1),(78,1)}
        51:{2,3,5,7}:{(29,1),(30,1),(66,1),(78,1),(80,1),(130,1),(132,1),(146,1)}
        52:{2,4,6}:{(30,1),(31,1),(80,1),(81,1),(131,1)}
        53:{3,4,5}:{(31,1),(68,1),(81,1),(82,1)}
        54:{2,4,5,7}:{(32,1),(62,1),(83,1),(90,1),(139,1),(149,1),(156,1),(187,1)}
        55:{3,4,6}:{(32,1),(33,1),(63,1),(83,1),(85,1),(131,1)}
        56:{1,4,6,7}:{(33,1),(34,1),(84,1),(86,1),(88,1),(219,1),(224,1)}
        57:{1,5,6}:{(33,1),(85,1),(86,1)}
        58:{1,3,5,7}:{(34,1),(35,1),(66,1),(86,1),(88,1),(130,1),(132,1),(154,1)}
        59:{1,4,6}:{(35,1),(36,1),(88,1),(89,1),(131,1)}
        60:{3,4,5}:{(36,1),(68,1),(89,1),(90,1)}
        61:{1,3,5,7}:{(37,1),(42,1),(47,1),(91,1),(92,1),(99,1),(103,1),(164,1)}
        62:{2,3,5,7}:{(37,1),(43,1),(54,1),(91,1),(93,1),(100,1),(104,1),(165,1)}
        63:{3,6}:{(37,1),(38,1)}
        64:{1,2,4,6,7}:{(38,1),(39,1),(49,1),(56,1),(94,1),(96,1),(97,1),(107,1),(116,1),(157,1),(163,1),(202,1)}
        65:{1,2,5,6}:{(38,1),(45,1),(50,1),(57,1),(95,1),(96,1),(108,1),(117,1)}
        66:{1,2,5,7}:{(39,1),(40,1),(51,1),(58,1),(97,1),(176,1),(182,1)}
        67:{1,2,4,6}:{(40,1),(41,1),(52,1),(59,1),(97,1),(98,1),(115,1),(124,1),(166,1)}
        68:{3,5}:{(41,1),(46,1),(98,1)}
        69:{1,2,4,7}:{(42,1),(43,1),(91,1),(101,1),(102,1),(106,1)}
        70:{1,3,4,6}:{(42,1),(44,1),(92,1),(102,1),(103,1),(160,1),(203,1),(208,1)}
        71:{2,3,4,6}:{(43,1),(44,1),(93,1),(102,1),(104,1),(162,1),(203,1),(208,1)}
        72:{3,5}:{(44,1),(45,1),(105,1)}
        73:{1,3,4}:{(46,1),(99,1),(106,1)}
        74:{2,3,4}:{(46,1),(100,1),(106,1)}
        75:{1,4,6}:{(47,1),(48,1),(92,1),(108,1)}
        76:{3,4,6,7}:{(48,1),(49,1),(94,1),(107,1),(109,1),(114,1),(163,1),(174,1),(175,1),(204,1),(211,1)}
        77:{3,5,6}:{(48,1),(50,1),(108,1),(109,1),(110,1)}
        78:{2,5,7}:{(49,1),(50,1),(109,1)}
        79:{2,4,5,6}:{(50,1),(52,1),(110,1),(112,1),(113,1)}
        80:{2,4,7}:{(51,1),(52,1),(114,1),(163,1)}
        81:{3,4,6}:{(52,1),(53,1),(98,1),(113,1),(114,1),(115,1)}
        82:{1,4,5}:{(53,1),(99,1),(115,1)}
        83:{2,4,6}:{(54,1),(55,1),(93,1),(117,1)}
        84:{3,4,6,7}:{(55,1),(56,1),(94,1),(116,1),(118,1),(123,1),(163,1),(180,1),(181,1),(206,1),(213,1)}
        85:{3,5,6}:{(55,1),(57,1),(117,1),(118,1),(119,1)}
        86:{1,5,7}:{(56,1),(57,1),(118,1)}
        87:{1,4,5,6}:{(57,1),(59,1),(119,1),(121,1),(122,1)}
        88:{1,4,7}:{(58,1),(59,1),(123,1),(163,1)}
        89:{3,4,6}:{(59,1),(60,1),(98,1),(122,1),(123,1),(124,1)}
        90:{2,4,5}:{(60,1),(100,1),(124,1)}
        91:{1,2,5,7}:{(61,1),(62,1),(69,1),(125,1),(135,1),(137,1),(189,1)}
        92:{1,3,6}:{(61,1),(63,1),(75,1),(125,1)}
        93:{2,3,6}:{(62,1),(63,1),(83,1),(125,1)}
        94:{3,6,7}:{(63,1),(64,1),(130,1),(132,1),(215,1)}
        95:{3,5,6}:{(63,1),(65,1),(72,1),(130,1),(131,1)}
        96:{1,2,5,7}:{(64,1),(65,1),(78,1),(86,1),(130,1),(141,1),(149,1)}
        97:{1,2,4,7}:{(66,1),(67,1),(80,1),(88,1),(132,1),(148,1),(156,1),(189,1)}
        98:{3,6}:{(67,1),(68,1),(132,1)}
        99:{1,3,5}:{(68,1),(73,1),(82,1),(133,1),(135,1)}
       100:{2,3,5}:{(68,1),(74,1),(90,1),(134,1),(135,1)}
       101:{1,2,3,7}:{(69,1),(136,1),(140,1),(215,1),(229,1)}
       102:{1,2,4,6}:{(69,1),(70,1),(71,1),(125,1),(136,1),(137,1),(190,1)}
       103:{1,3,5}:{(70,1),(72,1),(137,1),(138,1),(191,1)}
       104:{2,3,5}:{(71,1),(72,1),(137,1),(139,1),(191,1)}
       105:{4,5}:{(72,1),(131,1)}
       106:{1,2,4}:{(73,1),(74,1),(135,1),(140,1)}
       107:{1,4,6,7}:{(75,1),(76,1),(126,1),(141,1),(148,1),(185,1),(197,1)}
       108:{1,5,6}:{(75,1),(77,1),(141,1)}
       109:{3,5,7}:{(76,1),(77,1),(78,1),(141,1),(144,1)}
       110:{4,5,6}:{(77,1),(131,1),(144,1)}
       111:{2,5,6,7}:{(78,1),(143,1),(145,1),(223,1)}
       112:{2,4,5,7}:{(78,1),(79,1),(80,1),(144,1),(145,1),(146,1)}
       113:{3,5,6}:{(79,1),(81,1),(146,1),(147,1)}
       114:{3,4,7}:{(80,1),(81,1),(132,1),(146,1),(148,1)}
       115:{1,4,6}:{(81,1),(82,1),(133,1),(147,1),(148,1)}
       116:{2,4,6,7}:{(83,1),(84,1),(128,1),(149,1),(156,1),(187,1),(201,1)}
       117:{2,5,6}:{(83,1),(85,1),(149,1)}
       118:{3,5,7}:{(84,1),(85,1),(86,1),(149,1),(152,1)}
       119:{4,5,6}:{(85,1),(131,1),(152,1)}
       120:{1,5,6,7}:{(86,1),(151,1),(153,1),(224,1)}
       121:{1,4,5,7}:{(86,1),(87,1),(88,1),(152,1),(153,1),(154,1)}
       122:{3,5,6}:{(87,1),(89,1),(154,1),(155,1)}
       123:{3,4,7}:{(88,1),(89,1),(132,1),(154,1),(156,1)}
       124:{2,4,6}:{(89,1),(90,1),(134,1),(155,1),(156,1)}
       125:{1,2,6}:{(91,1),(92,1),(93,1)}
       126:{1,3,6,7}:{(92,1),(94,1),(107,1),(157,1),(159,1),(164,1),(211,1)}
       127:{1,3,5,6}:{(92,1),(95,1),(103,1),(108,1),(158,1),(159,1),(160,1),(173,1),(203,1)}
       128:{2,3,6,7}:{(93,1),(94,1),(116,1),(157,1),(161,1),(165,1),(213,1)}
       129:{2,3,5,6}:{(93,1),(95,1),(104,1),(117,1),(158,1),(161,1),(162,1),(179,1),(203,1)}
       130:{3,5,7}:{(94,1),(95,1),(96,1),(163,1)}
       131:{4,6}:{(95,1),(105,1),(163,1)}
       132:{3,7}:{(97,1),(98,1)}
       133:{1,3,6}:{(98,1),(99,1),(115,1),(164,1),(166,1)}
       134:{2,3,6}:{(98,1),(100,1),(124,1),(165,1),(166,1)}
       135:{1,2,5}:{(99,1),(100,1),(106,1),(166,1)}
       136:{1,2,3,6}:{(101,1),(102,1),(167,1),(203,1),(227,1)}
       137:{1,2,5}:{(102,1),(103,1),(104,1)}
       138:{1,4,5}:{(103,1),(105,1),(160,1),(169,1)}
       139:{2,4,5}:{(104,1),(105,1),(162,1),(170,1)}
       140:{1,2,3}:{(106,1)}
       141:{1,5,7}:{(107,1),(108,1),(109,1)}
       142:{1,4,5,6}:{(108,1),(110,1),(160,1),(172,1),(173,1)}
       143:{3,5,6,7}:{(109,1),(111,1),(171,1),(174,1),(175,1),(211,1)}
       144:{4,5,7}:{(109,1),(110,1),(163,1),(174,1)}
       145:{2,4,6,7}:{(111,1),(112,1),(174,1),(175,1)}
       146:{3,5,7}:{(112,1),(113,1),(114,1),(175,1),(176,1)}
       147:{1,5,6}:{(113,1),(115,1),(176,1)}
       148:{1,4,7}:{(114,1),(115,1),(164,1),(176,1)}
       149:{2,5,7}:{(116,1),(117,1),(118,1)}
       150:{2,4,5,6}:{(117,1),(119,1),(162,1),(178,1),(179,1)}
       151:{3,5,6,7}:{(118,1),(120,1),(177,1),(180,1),(181,1),(213,1)}
       152:{4,5,7}:{(118,1),(119,1),(163,1),(180,1)}
       153:{1,4,6,7}:{(120,1),(121,1),(180,1),(181,1)}
       154:{3,5,7}:{(121,1),(122,1),(123,1),(181,1),(182,1)}
       155:{2,5,6}:{(122,1),(124,1),(182,1)}
       156:{2,4,7}:{(123,1),(124,1),(165,1),(182,1)}
       157:{1,2,6,7}:{(125,1),(126,1),(128,1),(183,1),(189,1),(223,1),(224,1)}
       158:{1,2,5,6}:{(125,1),(127,1),(129,1),(137,1),(183,1),(184,1),(196,1),(200,1)}
       159:{1,3,5,7}:{(126,1),(127,1),(130,1),(141,1),(183,1),(185,1),(195,1),(215,1)}
       160:{1,4,6}:{(127,1),(131,1),(138,1),(185,1),(186,1)}
       161:{2,3,5,7}:{(128,1),(129,1),(130,1),(149,1),(183,1),(187,1),(199,1),(215,1)}
       162:{2,4,6}:{(129,1),(131,1),(139,1),(187,1),(188,1)}
       163:{4,7}:{(130,1),(131,1)}
       164:{1,3,7}:{(132,1),(133,1),(148,1),(189,1)}
       165:{2,3,7}:{(132,1),(134,1),(156,1),(189,1)}
       166:{1,2,6}:{(133,1),(134,1),(135,1),(189,1)}
       167:{1,2,3,5}:{(136,1),(137,1),(190,1),(191,1),(222,1),(230,1)}
       168:{1,2,4,5}:{(137,1),(138,1),(139,1),(184,1),(190,1),(191,1),(192,1),(193,1),(222,1)}
       169:{3,4,5}:{(138,1),(186,1),(191,1),(192,1)}
       170:{3,4,5}:{(139,1),(188,1),(191,1),(193,1)}
       171:{1,5,6,7}:{(141,1),(143,1),(194,1),(197,1)}
       172:{1,4,5,7}:{(141,1),(142,1),(144,1),(185,1),(194,1),(195,1)}
       173:{3,5,6}:{(142,1),(186,1),(195,1),(196,1)}
       174:{4,6,7}:{(143,1),(144,1)}
       175:{3,6,7}:{(145,1),(146,1),(197,1)}
       176:{1,5,7}:{(146,1),(147,1),(148,1),(197,1)}
       177:{2,5,6,7}:{(149,1),(151,1),(198,1),(201,1)}
       178:{2,4,5,7}:{(149,1),(150,1),(152,1),(187,1),(198,1),(199,1)}
       179:{3,5,6}:{(150,1),(188,1),(199,1),(200,1)}
       180:{4,6,7}:{(151,1),(152,1)}
       181:{3,6,7}:{(153,1),(154,1),(201,1)}
       182:{2,5,7}:{(154,1),(155,1),(156,1),(201,1)}
       183:{1,2,5,7}:{(157,1),(158,1),(159,1),(161,1),(202,1),(212,1),(214,1)}
       184:{1,2,4,6}:{(158,1),(160,1),(162,1),(168,1),(202,1),(203,1),(205,1),(207,1),(227,1)}
       185:{1,4,7}:{(159,1),(160,1),(163,1),(204,1)}
       186:{3,4,6}:{(160,1),(169,1),(173,1),(203,1),(204,1),(205,1)}
       187:{2,4,7}:{(161,1),(162,1),(163,1),(206,1)}
       188:{3,4,6}:{(162,1),(170,1),(179,1),(203,1),(206,1),(207,1)}
       189:{1,2,7}:{(164,1),(165,1),(166,1)}
       190:{1,2,4}:{(167,1),(208,1)}
       191:{3,5}:{(168,1),(203,1),(208,1)}
       192:{2,4,5}:{(169,1),(205,1),(210,1)}
       193:{1,4,5}:{(170,1),(207,1),(209,1)}
       194:{1,4,6,7}:{(171,1),(172,1),(174,1),(211,1)}
       195:{3,5,7}:{(172,1),(173,1),(204,1),(211,1),(212,1)}
       196:{2,5,6}:{(173,1),(205,1),(212,1)}
       197:{1,6,7}:{(175,1),(176,1)}
       198:{2,4,6,7}:{(177,1),(178,1),(180,1),(213,1)}
       199:{3,5,7}:{(178,1),(179,1),(206,1),(213,1),(214,1)}
       200:{1,5,6}:{(179,1),(207,1),(214,1)}
       201:{2,6,7}:{(181,1),(182,1)}
       202:{1,2,4,7}:{(183,1),(184,1),(185,1),(187,1),(215,1),(218,1),(219,1),(229,1)}
       203:{3,6}:{(184,1),(191,1),(215,1)}
       204:{3,4,7}:{(185,1),(186,1),(195,1),(215,1),(218,1)}
       205:{2,4,6}:{(186,1),(192,1),(196,1),(217,1),(218,1)}
       206:{3,4,7}:{(187,1),(188,1),(199,1),(215,1),(219,1)}
       207:{1,4,6}:{(188,1),(193,1),(200,1),(216,1),(219,1)}
       208:{3,4}:{(190,1),(191,1)}
       209:{1,3,5}:{(191,1),(193,1),(216,1),(220,1),(222,1)}
       210:{2,3,5}:{(191,1),(192,1),(217,1),(221,1),(222,1)}
       211:{3,6,7}:{(194,1),(195,1),(223,1)}
       212:{2,5,7}:{(195,1),(196,1),(218,1),(223,1)}
       213:{3,6,7}:{(198,1),(199,1),(224,1)}
       214:{1,5,7}:{(199,1),(200,1),(219,1),(224,1)}
       215:{3,7}:{(202,1),(203,1)}
       216:{1,3,6}:{(203,1),(207,1),(209,1),(225,1),(227,1)}
       217:{2,3,6}:{(203,1),(205,1),(210,1),(226,1),(227,1)}
       218:{2,4,7}:{(204,1),(205,1),(212,1),(226,1)}
       219:{1,4,7}:{(206,1),(207,1),(214,1),(225,1)}
       220:{1,3,4}:{(208,1),(209,1),(228,1)}
       221:{2,3,4}:{(208,1),(210,1),(228,1)}
       222:{1,2,5}:{(209,1),(210,1),(227,1),(228,1)}
       223:{2,6,7}:{(211,1),(212,1)}
       224:{1,6,7}:{(213,1),(214,1)}
       225:{1,3,7}:{(215,1),(216,1),(219,1),(229,1)}
       226:{2,3,7}:{(215,1),(217,1),(218,1),(229,1)}
       227:{1,2,6}:{(216,1),(217,1),(222,1),(229,1)}
       228:{1,2,4}:{(220,1),(221,1),(222,1),(230,1)}
       229:{1,2,7}:{(225,1),(226,1),(227,1)}
       230:{1,2,3}:{(228,1)}

 615 :   0:{1,3,5,6}:{(2,1),(3,1),(4,1),(18,1),(21,1),(50,1),(60,1),(61,1),(94,1),(96,1),(125,1),(150,1)}
         1:{2,3,5,6}:{(2,1),(5,1),(6,1),(18,1),(26,1),(51,1),(65,1),(66,1),(95,1),(96,1),(126,1),(150,1)}
         2:{1,2,5,6}:{(0,1),(1,1),(7,1),(8,1),(37,1),(43,1),(72,1),(81,1),(85,1),(112,1),(139,1)}
         3:{1,4,6}:{(0,1),(9,1),(10,1),(11,1),(69,1),(115,1),(159,1)}
         4:{1,3,5,7}:{(0,1),(8,1),(11,1),(12,1),(35,1),(38,1),(42,1),(80,1)}
         5:{2,4,6}:{(1,1),(13,1),(14,1),(15,1),(70,1),(115,1),(159,1)}
         6:{2,3,5,7}:{(1,1),(8,1),(15,1),(16,1),(35,1),(44,1),(48,1),(80,1)}
         7:{1,2,4,6}:{(2,1),(3,1),(5,1),(17,1),(18,1),(19,1),(23,1),(28,1),(54,1),(89,1)}
         8:{1,2,5,7}:{(2,1),(4,1),(6,1),(19,1),(20,1),(59,1),(64,1)}
         9:{1,4,5}:{(3,1),(21,1),(125,1),(127,1)}
        10:{3,4,6}:{(3,1),(18,1),(21,1),(23,1),(24,1),(49,1),(60,1)}
        11:{1,4,7}:{(3,1),(4,1),(24,1),(100,1)}
        12:{1,3,6,7}:{(4,1),(20,1),(25,1),(57,1),(60,1),(94,1),(157,1)}
        13:{2,4,5}:{(5,1),(26,1),(126,1),(127,1)}
        14:{3,4,6}:{(5,1),(18,1),(26,1),(28,1),(29,1),(49,1),(65,1)}
        15:{2,4,7}:{(5,1),(6,1),(29,1),(100,1)}
        16:{2,3,6,7}:{(6,1),(20,1),(30,1),(57,1),(65,1),(95,1),(158,1)}
        17:{1,2,4,5}:{(7,1),(9,1),(13,1),(31,1),(37,1),(43,1),(69,1),(70,1),(72,1),(139,1),(159,1)}
        18:{3,6}:{(7,1),(31,1),(35,1),(107,1)}
        19:{1,2,4,7}:{(7,1),(8,1),(11,1),(15,1),(35,1),(40,1),(46,1),(77,1)}
        20:{1,2,6,7}:{(8,1),(12,1),(16,1),(81,1),(85,1),(112,1),(165,1)}
        21:{3,5}:{(9,1),(10,1),(37,1)}
        22:{1,4,5,7}:{(9,1),(11,1),(38,1),(39,1),(42,1),(84,1)}
        23:{2,4,6}:{(10,1),(34,1),(37,1),(40,1),(70,1),(81,1)}
        24:{3,4,7}:{(10,1),(11,1),(35,1),(38,1),(40,1)}
        25:{1,4,6,7}:{(11,1),(12,1),(39,1),(41,1),(42,1),(109,1),(147,1),(148,1)}
        26:{3,5}:{(13,1),(14,1),(43,1)}
        27:{2,4,5,7}:{(13,1),(15,1),(44,1),(45,1),(48,1),(88,1)}
        28:{1,4,6}:{(14,1),(33,1),(43,1),(46,1),(69,1),(85,1)}
        29:{3,4,7}:{(14,1),(15,1),(35,1),(44,1),(46,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(45,1),(47,1),(48,1),(110,1),(146,1),(149,1)}
        31:{3,5}:{(17,1),(18,1),(49,1)}
        32:{1,2,4,5,7}:{(17,1),(19,1),(22,1),(27,1),(52,1),(53,1),(58,1),(59,1),(64,1),(90,1),(91,1),(93,1),(100,1),(103,1),(106,1),(125,1),(126,1),(127,1),(131,1),(135,1),(137,1),(151,1)}
        33:{1,3,6}:{(18,1),(28,1),(50,1),(54,1),(55,1)}
        34:{2,3,6}:{(18,1),(23,1),(51,1),(54,1),(56,1)}
        35:{3,7}:{(18,1),(19,1)}
        36:{1,2,4,6,7}:{(19,1),(20,1),(25,1),(30,1),(53,1),(57,1),(58,1),(62,1),(67,1),(97,1),(100,1),(124,1),(131,1)}
        37:{2,5}:{(21,1),(23,1)}
        38:{3,5,7}:{(21,1),(22,1),(24,1),(59,1),(60,1)}
        39:{1,4,6}:{(22,1),(60,1),(61,1),(102,1)}
        40:{2,4,7}:{(23,1),(24,1),(56,1),(59,1)}
        41:{3,4,6,7}:{(24,1),(25,1),(57,1),(60,1),(62,1),(63,1),(92,1),(100,1),(102,1),(133,1),(134,1)}
        42:{1,5,7}:{(25,1),(61,1),(63,1),(125,1)}
        43:{1,5}:{(26,1),(28,1)}
        44:{3,5,7}:{(26,1),(27,1),(29,1),(64,1),(65,1)}
        45:{2,4,6}:{(27,1),(65,1),(66,1),(105,1)}
        46:{1,4,7}:{(28,1),(29,1),(55,1),(64,1)}
        47:{3,4,6,7}:{(29,1),(30,1),(57,1),(65,1),(67,1),(68,1),(92,1),(100,1),(105,1),(132,1),(136,1)}
        48:{2,5,7}:{(30,1),(66,1),(68,1),(126,1)}
        49:{3,4}:{(31,1),(69,1),(70,1),(107,1),(159,1)}
        50:{1,3,5}:{(31,1),(33,1),(43,1),(69,1),(72,1),(107,1)}
        51:{2,3,5}:{(31,1),(34,1),(37,1),(70,1),(72,1),(107,1)}
        52:{3,5,7}:{(31,1),(32,1),(35,1),(71,1),(75,1),(111,1),(145,1),(160,1)}
        53:{1,2,4,6}:{(32,1),(39,1),(45,1),(75,1),(76,1),(81,1),(85,1),(109,1),(110,1),(112,1),(115,1),(119,1),(121,1),(148,1),(149,1)}
        54:{1,2,6}:{(33,1),(34,1),(72,1),(77,1)}
        55:{1,3,7}:{(33,1),(35,1),(46,1),(77,1)}
        56:{2,3,7}:{(34,1),(35,1),(40,1),(77,1)}
        57:{3,6,7}:{(35,1),(36,1),(75,1),(80,1),(138,1),(145,1)}
        58:{1,2,5,7}:{(36,1),(42,1),(48,1),(76,1),(80,1),(83,1),(87,1),(139,1)}
        59:{2,5,7}:{(37,1),(38,1),(40,1),(81,1)}
        60:{3,6}:{(38,1),(39,1),(81,1)}
        61:{1,5,6}:{(39,1),(42,1),(82,1),(148,1)}
        62:{2,4,6,7}:{(40,1),(41,1),(79,1),(81,1),(83,1),(110,1),(118,1),(119,1)}
        63:{3,5,7}:{(41,1),(42,1),(82,1),(83,1),(84,1),(111,1)}
        64:{1,5,7}:{(43,1),(44,1),(46,1),(85,1)}
        65:{3,6}:{(44,1),(45,1),(85,1)}
        66:{2,5,6}:{(45,1),(48,1),(86,1),(149,1)}
        67:{1,4,6,7}:{(46,1),(47,1),(78,1),(85,1),(87,1),(109,1),(117,1),(121,1)}
        68:{3,5,7}:{(47,1),(48,1),(86,1),(87,1),(88,1),(111,1)}
        69:{1,4}:{(49,1),(50,1)}
        70:{2,4}:{(49,1),(51,1)}
        71:{3,4,7}:{(49,1),(52,1),(90,1),(91,1),(92,1),(100,1),(123,1),(166,1)}
        72:{1,2,5}:{(50,1),(51,1),(54,1),(89,1)}
        73:{1,3,5,7}:{(50,1),(52,1),(55,1),(64,1),(90,1),(93,1),(94,1),(123,1),(125,1),(135,1),(150,1),(157,1),(167,1)}
        74:{2,3,5,7}:{(51,1),(52,1),(56,1),(59,1),(91,1),(93,1),(95,1),(123,1),(126,1),(137,1),(150,1),(158,1),(168,1)}
        75:{3,6}:{(52,1),(53,1)}
        76:{1,2,5,6}:{(53,1),(58,1),(61,1),(66,1),(96,1),(101,1),(104,1),(125,1),(126,1)}
        77:{1,2,7}:{(54,1),(55,1),(56,1)}
        78:{1,3,6,7}:{(55,1),(57,1),(67,1),(94,1),(97,1),(98,1),(136,1)}
        79:{2,3,6,7}:{(56,1),(57,1),(62,1),(95,1),(97,1),(99,1),(134,1)}
        80:{3,5,7}:{(57,1),(58,1),(96,1),(100,1),(150,1)}
        81:{2,6}:{(59,1),(60,1)}
        82:{3,5,6}:{(60,1),(61,1),(63,1),(101,1),(102,1),(134,1)}
        83:{2,5,7}:{(62,1),(63,1),(101,1),(126,1)}
        84:{4,5,7}:{(63,1),(100,1),(102,1),(127,1)}
        85:{1,6}:{(64,1),(65,1)}
        86:{3,5,6}:{(65,1),(66,1),(68,1),(104,1),(105,1),(136,1)}
        87:{1,5,7}:{(67,1),(68,1),(104,1),(125,1)}
        88:{4,5,7}:{(68,1),(100,1),(105,1),(127,1)}
        89:{1,2,4}:{(69,1),(70,1),(72,1),(107,1)}
        90:{1,4,7}:{(69,1),(71,1),(73,1),(109,1),(159,1),(170,1)}
        91:{2,4,7}:{(70,1),(71,1),(74,1),(110,1),(159,1),(171,1)}
        92:{3,4,6}:{(71,1),(75,1),(109,1),(110,1),(111,1),(115,1),(138,1),(159,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(77,1),(108,1),(112,1),(139,1),(165,1),(172,1)}
        94:{1,3,6}:{(73,1),(75,1),(85,1),(109,1),(112,1),(138,1),(148,1)}
        95:{2,3,6}:{(74,1),(75,1),(81,1),(110,1),(112,1),(138,1),(149,1)}
        96:{3,5,6}:{(75,1),(76,1),(80,1),(111,1),(115,1)}
        97:{1,2,6,7}:{(77,1),(78,1),(79,1),(112,1),(116,1),(148,1),(149,1)}
        98:{1,3,5,7}:{(78,1),(80,1),(87,1),(113,1),(116,1),(117,1),(122,1),(145,1)}
        99:{2,3,5,7}:{(79,1),(80,1),(83,1),(114,1),(116,1),(118,1),(120,1),(145,1)}
       100:{4,7}:{(80,1),(115,1),(159,1)}
       101:{2,5,6}:{(81,1),(82,1),(83,1),(119,1)}
       102:{4,6}:{(82,1),(84,1)}
       103:{2,4,5,7}:{(83,1),(84,1),(118,1),(119,1),(120,1),(141,1)}
       104:{1,5,6}:{(85,1),(86,1),(87,1),(121,1)}
       105:{4,6}:{(86,1),(88,1)}
       106:{1,4,5,7}:{(87,1),(88,1),(117,1),(121,1),(122,1),(140,1)}
       107:{3}:{(89,1)}
       108:{1,2,4,7}:{(89,1),(90,1),(91,1),(93,1),(123,1),(124,1),(173,1)}
       109:{1,4,6}:{(90,1),(92,1),(94,1),(125,1)}
       110:{2,4,6}:{(91,1),(92,1),(95,1),(126,1)}
       111:{3,5}:{(92,1),(125,1),(126,1),(127,1)}
       112:{1,2,6}:{(93,1),(94,1),(95,1)}
       113:{1,3,5,6}:{(94,1),(96,1),(98,1),(104,1),(125,1),(128,1),(129,1),(136,1),(150,1),(152,1),(154,1),(167,1)}
       114:{2,3,5,6}:{(95,1),(96,1),(99,1),(101,1),(126,1),(128,1),(130,1),(134,1),(150,1),(153,1),(154,1),(168,1)}
       115:{4,6}:{(96,1),(100,1),(127,1)}
       116:{1,2,5,7}:{(97,1),(98,1),(99,1),(128,1),(131,1),(135,1),(137,1)}
       117:{1,4,7}:{(98,1),(100,1),(129,1),(132,1)}
       118:{2,4,7}:{(99,1),(100,1),(130,1),(133,1)}
       119:{2,4,6}:{(101,1),(102,1),(103,1),(134,1)}
       120:{3,5,7}:{(103,1),(133,1),(134,1),(135,1),(153,1)}
       121:{1,4,6}:{(104,1),(105,1),(106,1),(136,1)}
       122:{3,5,7}:{(106,1),(132,1),(136,1),(137,1),(152,1)}
       123:{3,7}:{(107,1),(108,1),(138,1),(174,1)}
       124:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(138,1),(139,1),(159,1)}
       125:{1,5}:{(109,1),(111,1)}
       126:{2,5}:{(110,1),(111,1)}
       127:{4,5}:{(111,1),(115,1),(159,1)}
       128:{1,2,5,6}:{(112,1),(113,1),(114,1),(116,1),(139,1),(142,1),(148,1),(149,1),(161,1),(162,1),(172,1)}
       129:{1,4,6}:{(113,1),(115,1),(117,1),(140,1),(143,1),(159,1),(170,1)}
       130:{2,4,6}:{(114,1),(115,1),(118,1),(141,1),(144,1),(159,1),(171,1)}
       131:{1,2,4,7}:{(116,1),(117,1),(118,1),(142,1),(145,1),(146,1),(147,1),(165,1)}
       132:{3,4,7}:{(117,1),(122,1),(143,1),(145,1),(146,1)}
       133:{3,4,7}:{(118,1),(120,1),(144,1),(145,1),(147,1)}
       134:{3,6}:{(119,1),(120,1),(148,1)}
       135:{1,5,7}:{(120,1),(147,1),(148,1),(162,1)}
       136:{3,6}:{(121,1),(122,1),(149,1)}
       137:{2,5,7}:{(122,1),(146,1),(149,1),(161,1)}
       138:{3,6}:{(123,1),(124,1),(150,1)}
       139:{1,2,5}:{(124,1),(125,1),(126,1),(150,1)}
       140:{1,4,5}:{(125,1),(127,1),(129,1),(152,1)}
       141:{2,4,5}:{(126,1),(127,1),(130,1),(153,1)}
       142:{1,2,4,6}:{(128,1),(129,1),(130,1),(131,1),(151,1),(154,1),(155,1),(156,1),(169,1),(173,1)}
       143:{3,4,6}:{(129,1),(132,1),(136,1),(152,1),(154,1),(155,1),(166,1)}
       144:{3,4,6}:{(130,1),(133,1),(134,1),(153,1),(154,1),(156,1),(166,1)}
       145:{3,7}:{(131,1),(154,1)}
       146:{2,4,7}:{(132,1),(137,1),(155,1),(158,1)}
       147:{1,4,7}:{(133,1),(135,1),(156,1),(157,1)}
       148:{1,6}:{(134,1),(135,1)}
       149:{2,6}:{(136,1),(137,1)}
       150:{3,5}:{(138,1),(139,1),(159,1)}
       151:{1,2,4,5}:{(139,1),(140,1),(141,1),(142,1),(159,1),(160,1),(161,1),(162,1),(170,1),(171,1),(172,1)}
       152:{3,5}:{(140,1),(143,1),(161,1)}
       153:{3,5}:{(141,1),(144,1),(162,1)}
       154:{3,6}:{(142,1),(145,1),(160,1),(174,1)}
       155:{2,4,6}:{(143,1),(146,1),(149,1),(161,1),(164,1),(171,1)}
       156:{1,4,6}:{(144,1),(147,1),(148,1),(162,1),(163,1),(170,1)}
       157:{1,3,7}:{(145,1),(147,1),(163,1),(165,1)}
       158:{2,3,7}:{(145,1),(146,1),(164,1),(165,1)}
       159:{4}:{(150,1)}
       160:{3,5}:{(151,1),(154,1),(166,1)}
       161:{2,5}:{(152,1),(155,1)}
       162:{1,5}:{(153,1),(156,1)}
       163:{1,3,6}:{(154,1),(156,1),(157,1),(167,1),(169,1)}
       164:{2,3,6}:{(154,1),(155,1),(158,1),(168,1),(169,1)}
       165:{1,2,7}:{(157,1),(158,1),(169,1)}
       166:{3,4}:{(159,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(160,1),(162,1),(163,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(160,1),(161,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(163,1),(164,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

 616 :   0:{1,3,5,7}:{(4,1),(5,1),(6,1),(11,1),(27,1),(31,1),(62,1)}
         1:{2,3,5,7}:{(4,1),(7,1),(8,1),(9,1),(27,1),(34,1),(62,1)}
         2:{2,4,5,7}:{(7,1),(9,1),(10,1),(34,1),(36,1),(66,1),(68,1)}
         3:{1,4,5,7}:{(5,1),(11,1),(12,1),(31,1),(40,1),(64,1),(71,1)}
         4:{1,2,5,7}:{(0,1),(1,1),(13,1),(14,1),(20,1),(24,1),(46,1)}
         5:{1,4,7}:{(0,1),(15,1),(16,1),(76,1),(98,1)}
         6:{1,3,6}:{(0,1),(14,1),(16,1),(25,1),(45,1),(102,1)}
         7:{2,4,7}:{(1,1),(17,1),(18,1),(76,1),(97,1)}
         8:{2,3,6}:{(1,1),(14,1),(18,1),(21,1),(45,1),(103,1)}
         9:{3,5,7}:{(2,1),(17,1),(20,1),(21,1),(50,1)}
        10:{2,4,6}:{(2,1),(21,1),(22,1),(54,1)}
        11:{3,5,7}:{(3,1),(15,1),(24,1),(25,1),(48,1)}
        12:{1,4,6}:{(3,1),(25,1),(26,1),(58,1)}
        13:{1,2,4,7}:{(4,1),(5,1),(7,1),(27,1),(28,1),(29,1),(32,1),(59,1)}
        14:{1,2,6}:{(4,1),(6,1),(8,1),(37,1),(41,1),(104,1)}
        15:{3,4,7}:{(5,1),(11,1),(27,1),(29,1),(30,1),(71,1),(90,1)}
        16:{1,4,6}:{(5,1),(6,1),(30,1),(31,1),(91,1),(101,1)}
        17:{3,4,7}:{(7,1),(9,1),(27,1),(32,1),(33,1),(68,1),(88,1)}
        18:{2,4,6}:{(7,1),(8,1),(33,1),(34,1),(89,1),(100,1)}
        19:{2,4,6,7}:{(10,1),(35,1),(36,1),(68,1)}
        20:{1,5,7}:{(9,1),(32,1),(37,1),(65,1)}
        21:{3,6}:{(9,1),(10,1),(37,1)}
        22:{2,5,6}:{(10,1),(34,1),(36,1),(38,1),(89,1)}
        23:{1,4,6,7}:{(12,1),(39,1),(40,1),(71,1)}
        24:{2,5,7}:{(11,1),(29,1),(41,1),(63,1)}
        25:{3,6}:{(11,1),(12,1),(41,1)}
        26:{1,5,6}:{(12,1),(31,1),(40,1),(42,1),(91,1)}
        27:{3,7}:{(13,1),(45,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(16,1),(18,1),(45,1),(46,1),(47,1),(49,1),(73,1),(76,1),(92,1)}
        29:{2,4,7}:{(15,1),(24,1),(44,1),(47,1)}
        30:{3,4,6}:{(15,1),(16,1),(25,1),(45,1),(47,1),(48,1),(58,1),(76,1),(82,1),(94,1)}
        31:{1,5}:{(16,1),(48,1)}
        32:{1,4,7}:{(17,1),(20,1),(43,1),(49,1)}
        33:{3,4,6}:{(17,1),(18,1),(21,1),(45,1),(49,1),(50,1),(54,1),(76,1),(80,1),(93,1)}
        34:{2,5}:{(18,1),(50,1)}
        35:{3,6,7}:{(19,1),(21,1),(51,1),(52,1)}
        36:{2,5,7}:{(19,1),(22,1),(52,1),(97,1)}
        37:{1,6}:{(20,1),(21,1)}
        38:{3,5,6}:{(21,1),(22,1),(50,1),(52,1),(53,1),(54,1),(80,1)}
        39:{3,6,7}:{(23,1),(25,1),(55,1),(56,1)}
        40:{1,5,7}:{(23,1),(26,1),(56,1),(98,1)}
        41:{2,6}:{(24,1),(25,1)}
        42:{3,5,6}:{(25,1),(26,1),(48,1),(56,1),(57,1),(58,1),(82,1)}
        43:{1,3,7}:{(27,1),(32,1),(59,1),(60,1),(88,1)}
        44:{2,3,7}:{(27,1),(29,1),(59,1),(61,1),(90,1)}
        45:{3,6}:{(27,1),(28,1),(62,1),(99,1)}
        46:{1,2,5}:{(28,1),(31,1),(34,1),(62,1),(63,1),(65,1)}
        47:{2,4,6}:{(29,1),(30,1),(41,1),(61,1),(63,1),(85,1)}
        48:{3,5}:{(30,1),(31,1),(63,1),(64,1)}
        49:{1,4,6}:{(32,1),(33,1),(37,1),(60,1),(65,1),(84,1)}
        50:{3,5}:{(33,1),(34,1),(65,1),(66,1)}
        51:{1,6,7}:{(35,1),(37,1),(67,1)}
        52:{3,5,7}:{(35,1),(36,1),(38,1),(67,1),(68,1),(88,1)}
        53:{1,5,6}:{(37,1),(38,1),(65,1),(67,1),(69,1)}
        54:{4,6}:{(38,1),(66,1),(68,1)}
        55:{2,6,7}:{(39,1),(41,1),(70,1)}
        56:{3,5,7}:{(39,1),(40,1),(42,1),(70,1),(71,1),(90,1)}
        57:{2,5,6}:{(41,1),(42,1),(63,1),(70,1),(72,1)}
        58:{4,6}:{(42,1),(64,1),(71,1)}
        59:{1,2,7}:{(43,1),(44,1),(73,1),(97,1),(98,1)}
        60:{1,3,6}:{(43,1),(45,1),(49,1),(73,1),(74,1),(80,1)}
        61:{2,3,6}:{(44,1),(45,1),(47,1),(73,1),(75,1),(82,1)}
        62:{3,5}:{(45,1),(46,1),(76,1)}
        63:{2,5}:{(47,1),(48,1)}
        64:{4,5}:{(48,1),(58,1),(76,1)}
        65:{1,5}:{(49,1),(50,1)}
        66:{4,5}:{(50,1),(54,1),(76,1)}
        67:{1,5,7}:{(51,1),(52,1),(53,1),(79,1)}
        68:{4,7}:{(52,1),(54,1)}
        69:{1,4,6}:{(53,1),(54,1),(78,1),(79,1),(80,1)}
        70:{2,5,7}:{(55,1),(56,1),(57,1),(81,1)}
        71:{4,7}:{(56,1),(58,1)}
        72:{2,4,6}:{(57,1),(58,1),(77,1),(81,1),(82,1)}
        73:{1,2,6}:{(59,1),(60,1),(61,1),(83,1),(89,1),(91,1)}
        74:{1,3,5}:{(60,1),(62,1),(65,1),(83,1),(84,1),(87,1),(99,1)}
        75:{2,3,5}:{(61,1),(62,1),(63,1),(83,1),(85,1),(86,1),(99,1)}
        76:{4}:{(62,1)}
        77:{2,4,5}:{(63,1),(64,1),(72,1),(85,1),(86,1)}
        78:{1,4,5}:{(65,1),(66,1),(69,1),(84,1),(87,1)}
        79:{1,4,7}:{(67,1),(68,1),(69,1),(88,1)}
        80:{3,6}:{(69,1),(87,1),(88,1),(89,1)}
        81:{2,4,7}:{(70,1),(71,1),(72,1),(90,1)}
        82:{3,6}:{(72,1),(86,1),(90,1),(91,1)}
        83:{1,2,5}:{(73,1),(74,1),(75,1),(92,1),(95,1),(96,1)}
        84:{1,4}:{(74,1),(76,1),(93,1)}
        85:{2,4}:{(75,1),(76,1),(94,1)}
        86:{3,5}:{(77,1),(82,1),(94,1),(95,1)}
        87:{3,5}:{(78,1),(80,1),(93,1),(96,1)}
        88:{3,7}:{(79,1),(80,1),(97,1)}
        89:{2,6}:{(80,1),(96,1),(97,1)}
        90:{3,7}:{(81,1),(82,1),(98,1)}
        91:{1,6}:{(82,1),(95,1),(98,1)}
        92:{1,2,4}:{(83,1),(84,1),(85,1),(99,1),(100,1),(101,1),(104,1)}
        93:{3,4}:{(84,1),(87,1),(99,1),(100,1)}
        94:{3,4}:{(85,1),(86,1),(99,1),(101,1)}
        95:{1,5}:{(86,1),(91,1),(101,1)}
        96:{2,5}:{(87,1),(89,1),(100,1)}
        97:{2,7}:{(88,1),(89,1)}
        98:{1,7}:{(90,1),(91,1)}
        99:{3}:{(92,1)}
       100:{2,4}:{(93,1),(96,1),(103,1)}
       101:{1,4}:{(94,1),(95,1),(102,1)}
       102:{1,3}:{(99,1),(101,1),(104,1)}
       103:{2,3}:{(99,1),(100,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

 617 :   0:{1,2,4,5,6}:{(1,1),(2,1),(9,1),(10,1),(12,1),(32,1),(73,1),(74,1),(75,1),(76,1),(102,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(51,1),(88,1),(100,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(24,1),(26,1),(62,1),(63,1),(64,1)}
         3:{3,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(40,1),(71,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(12,1),(13,1),(30,1),(40,1),(67,1),(68,1),(74,1),(94,1),(96,1),(103,1)}
         5:{2,3,5,6}:{(1,1),(10,1),(12,1),(14,1),(31,1),(40,1),(65,1),(70,1),(75,1),(92,1),(96,1),(102,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(15,1)}
         7:{1,2,4,6,7}:{(2,1),(15,1),(16,1),(42,1),(43,1),(45,1),(46,1),(73,1)}
         8:{3,4,5}:{(3,1),(17,1),(18,1),(51,1),(100,1)}
         9:{1,4,6}:{(3,1),(4,1),(17,1),(23,1),(84,1),(101,1)}
        10:{2,4,6}:{(3,1),(5,1),(18,1),(24,1),(81,1),(101,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(24,1),(60,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(22,1),(26,1),(47,1),(49,1),(83,1),(86,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(23,1),(26,1),(27,1),(60,1),(62,1),(90,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(24,1),(26,1),(28,1),(60,1),(63,1),(90,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,2,5,6,7}:{(7,1),(29,1),(62,1),(63,1),(89,1)}
        17:{1,4,5}:{(8,1),(9,1),(30,1),(103,1),(104,1)}
        18:{2,4,5}:{(8,1),(10,1),(31,1),(102,1),(104,1)}
        19:{3,4,5,7}:{(8,1),(11,1),(33,1),(34,1),(35,1),(44,1),(72,1),(97,1),(104,1)}
        20:{1,3,4,6}:{(9,1),(30,1),(36,1),(37,1),(40,1),(67,1),(71,1),(95,1)}
        21:{2,3,4,6}:{(10,1),(31,1),(38,1),(39,1),(40,1),(70,1),(71,1),(95,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(12,1),(32,1),(40,1),(41,1)}
        23:{1,4,7}:{(9,1),(11,1),(13,1),(97,1)}
        24:{2,4,7}:{(10,1),(11,1),(14,1),(97,1)}
        25:{3,4,6,7}:{(11,1),(15,1),(35,1),(42,1),(43,1),(44,1),(46,1),(79,1),(95,1),(97,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(14,1),(41,1),(45,1)}
        27:{1,3,6,7}:{(13,1),(15,1),(42,1),(45,1),(67,1),(79,1),(94,1)}
        28:{2,3,6,7}:{(14,1),(15,1),(43,1),(45,1),(70,1),(79,1),(92,1)}
        29:{3,5,6,7}:{(15,1),(16,1),(44,1),(46,1),(96,1)}
        30:{1,3,5}:{(17,1),(20,1),(47,1),(51,1),(100,1)}
        31:{2,3,5}:{(18,1),(21,1),(49,1),(51,1),(100,1)}
        32:{1,2,4,5}:{(17,1),(18,1),(22,1),(47,1),(49,1),(51,1),(81,1),(84,1)}
        33:{1,4,5,7}:{(17,1),(19,1),(23,1),(48,1),(53,1),(62,1)}
        34:{2,4,5,7}:{(18,1),(19,1),(24,1),(50,1),(54,1),(63,1)}
        35:{3,4,6}:{(19,1),(53,1),(54,1),(55,1),(88,1),(101,1)}
        36:{1,2,4,6}:{(20,1),(47,1),(56,1),(57,1),(81,1),(83,1),(98,1)}
        37:{1,3,4,7}:{(20,1),(23,1),(48,1),(57,1),(60,1),(87,1)}
        38:{1,2,4,6}:{(21,1),(49,1),(58,1),(59,1),(84,1),(86,1),(99,1)}
        39:{2,3,4,7}:{(21,1),(24,1),(50,1),(59,1),(60,1),(87,1)}
        40:{3,6}:{(22,1),(51,1),(60,1)}
        41:{1,2,4,7}:{(22,1),(23,1),(24,1),(26,1),(60,1)}
        42:{1,4,6,7}:{(23,1),(25,1),(27,1),(53,1),(62,1),(99,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(28,1),(54,1),(63,1),(98,1)}
        44:{3,5,7}:{(25,1),(55,1),(62,1),(63,1),(64,1),(100,1)}
        45:{1,2,6,7}:{(26,1),(27,1),(28,1),(83,1),(86,1)}
        46:{4,6,7}:{(29,1),(64,1),(101,1)}
        47:{1,2,5}:{(30,1),(36,1),(65,1),(102,1)}
        48:{1,3,5,7}:{(30,1),(33,1),(37,1),(66,1),(67,1),(72,1)}
        49:{1,2,5}:{(31,1),(38,1),(68,1),(103,1)}
        50:{2,3,5,7}:{(31,1),(34,1),(39,1),(69,1),(70,1),(72,1)}
        51:{3,5}:{(32,1),(40,1),(71,1)}
        52:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(41,1),(66,1),(69,1),(72,1),(73,1),(80,1),(91,1),(93,1),(97,1),(102,1),(103,1),(104,1)}
        53:{1,4,6}:{(33,1),(35,1),(67,1),(74,1)}
        54:{2,4,6}:{(34,1),(35,1),(70,1),(75,1)}
        55:{3,5,6}:{(35,1),(44,1),(74,1),(75,1),(76,1)}
        56:{2,3,6}:{(36,1),(40,1),(65,1),(77,1)}
        57:{1,2,4,7}:{(36,1),(37,1),(66,1),(77,1),(91,1)}
        58:{1,3,6}:{(38,1),(40,1),(68,1),(78,1)}
        59:{1,2,4,7}:{(38,1),(39,1),(69,1),(78,1),(93,1)}
        60:{3,7}:{(40,1),(41,1)}
        61:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(45,1),(73,1),(79,1),(80,1),(97,1)}
        62:{1,5,7}:{(42,1),(44,1),(74,1),(103,1)}
        63:{2,5,7}:{(43,1),(44,1),(75,1),(102,1)}
        64:{4,5,7}:{(44,1),(46,1),(76,1),(97,1),(104,1)}
        65:{2,3,5}:{(47,1),(51,1),(56,1),(81,1)}
        66:{1,2,5,7}:{(47,1),(48,1),(57,1),(82,1),(83,1)}
        67:{1,3,6}:{(48,1),(53,1),(83,1),(88,1)}
        68:{1,3,5}:{(49,1),(51,1),(58,1),(84,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(59,1),(85,1),(86,1)}
        70:{2,3,6}:{(50,1),(54,1),(86,1),(88,1)}
        71:{3,4}:{(51,1),(81,1),(84,1)}
        72:{3,5,7}:{(51,1),(52,1),(60,1),(87,1),(88,1),(100,1)}
        73:{1,2,4,6}:{(52,1),(53,1),(54,1),(83,1),(86,1),(88,1),(89,1),(98,1),(99,1),(101,1)}
        74:{1,5,6}:{(53,1),(55,1),(62,1)}
        75:{2,5,6}:{(54,1),(55,1),(63,1)}
        76:{4,5,6}:{(55,1),(64,1),(101,1)}
        77:{2,3,7}:{(56,1),(57,1),(60,1)}
        78:{1,3,7}:{(58,1),(59,1),(60,1)}
        79:{3,6,7}:{(60,1),(61,1),(88,1),(90,1)}
        80:{1,2,5,7}:{(61,1),(62,1),(63,1),(89,1),(90,1)}
        81:{2,4}:{(65,1),(71,1)}
        82:{2,3,5,7}:{(65,1),(66,1),(72,1),(77,1),(91,1),(92,1),(102,1)}
        83:{1,2,6}:{(66,1),(67,1),(92,1)}
        84:{1,4}:{(68,1),(71,1)}
        85:{1,3,5,7}:{(68,1),(69,1),(72,1),(78,1),(93,1),(94,1),(103,1)}
        86:{1,2,6}:{(69,1),(70,1),(94,1)}
        87:{3,4,7}:{(71,1),(72,1),(91,1),(93,1),(95,1),(97,1)}
        88:{3,6}:{(72,1),(73,1)}
        89:{1,2,5,6}:{(73,1),(74,1),(75,1),(80,1),(96,1),(102,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{2,4,7}:{(81,1),(82,1),(87,1),(98,1)}
        92:{2,3,6}:{(82,1),(83,1),(88,1),(98,1)}
        93:{1,4,7}:{(84,1),(85,1),(87,1),(99,1)}
        94:{1,3,6}:{(85,1),(86,1),(88,1),(99,1)}
        95:{3,4,6}:{(87,1),(88,1),(98,1),(99,1),(100,1),(101,1)}
        96:{3,5,6}:{(88,1),(89,1),(90,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{2,4,6}:{(91,1),(92,1),(95,1),(102,1)}
        99:{1,4,6}:{(93,1),(94,1),(95,1),(103,1)}
       100:{3,5}:{(95,1),(102,1),(103,1),(104,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{2,5}:{(98,1),(100,1)}
       103:{1,5}:{(99,1),(100,1)}
       104:{4,5}:{(100,1),(101,1)}

 618 :   0:{1,2,3}:{(4,1)}
         1:{2,3,4}:{(4,1),(5,1),(14,1)}
         2:{1,3,4}:{(4,1),(6,1),(14,1)}
         3:{1,2,3,5}:{(0,1),(7,1),(8,1),(9,1),(25,1),(28,1),(31,1),(59,1)}
         4:{1,2,4}:{(0,1),(1,1),(2,1),(9,1)}
         5:{2,3,5}:{(1,1),(9,1),(10,1),(11,1),(28,1)}
         6:{1,3,5}:{(2,1),(9,1),(12,1),(13,1),(28,1)}
         7:{1,2,4}:{(3,1),(14,1)}
         8:{1,2,3,6}:{(3,1),(16,1),(17,1),(18,1),(45,1),(78,1)}
         9:{1,2,5}:{(4,1),(5,1),(6,1),(18,1)}
        10:{2,4,5}:{(5,1),(19,1),(20,1)}
        11:{2,3,6}:{(5,1),(18,1),(20,1),(21,1),(45,1)}
        12:{1,4,5}:{(6,1),(22,1),(23,1)}
        13:{1,3,6}:{(6,1),(18,1),(23,1),(24,1),(45,1)}
        14:{3,4}:{(7,1),(28,1)}
        15:{1,2,4,5}:{(7,1),(9,1),(10,1),(12,1),(28,1),(30,1),(31,1),(34,1),(38,1),(59,1),(64,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(29,1),(31,1),(32,1),(67,1)}
        17:{1,2,3,7}:{(8,1),(32,1),(33,1),(63,1),(92,1)}
        18:{1,2,6}:{(9,1),(11,1),(13,1),(33,1)}
        19:{3,4,5}:{(10,1),(28,1),(34,1),(35,1),(64,1)}
        20:{2,4,6}:{(10,1),(11,1),(35,1),(36,1),(37,1)}
        21:{2,3,7}:{(11,1),(33,1),(37,1),(63,1)}
        22:{3,4,5}:{(12,1),(28,1),(38,1),(39,1),(64,1)}
        23:{1,4,6}:{(12,1),(13,1),(39,1),(40,1),(41,1)}
        24:{1,3,7}:{(13,1),(33,1),(41,1),(63,1)}
        25:{1,2,3}:{(42,1)}
        26:{2,3,4}:{(14,1),(42,1),(43,1)}
        27:{1,3,4}:{(14,1),(42,1),(44,1)}
        28:{3,5}:{(14,1),(15,1),(45,1)}
        29:{3,4,6}:{(14,1),(16,1),(45,1),(46,1),(47,1),(81,1),(84,1)}
        30:{1,2,4,6}:{(15,1),(18,1),(20,1),(23,1),(45,1),(48,1),(49,1),(51,1),(55,1),(78,1),(81,1)}
        31:{1,2,5}:{(16,1),(46,1)}
        32:{1,2,4,7}:{(16,1),(17,1),(47,1),(50,1)}
        33:{1,2,7}:{(18,1),(21,1),(24,1)}
        34:{1,4,5}:{(19,1),(44,1),(51,1)}
        35:{3,4,6}:{(19,1),(20,1),(45,1),(51,1),(52,1),(53,1),(81,1)}
        36:{2,5,6}:{(20,1),(52,1),(54,1)}
        37:{2,4,7}:{(20,1),(21,1),(53,1),(54,1)}
        38:{2,4,5}:{(22,1),(43,1),(55,1)}
        39:{3,4,6}:{(22,1),(23,1),(45,1),(55,1),(56,1),(57,1),(81,1)}
        40:{1,5,6}:{(23,1),(56,1),(58,1)}
        41:{1,4,7}:{(23,1),(24,1),(57,1),(58,1)}
        42:{1,2,4}:{(25,1),(26,1),(27,1),(59,1)}
        43:{2,3,5}:{(26,1),(28,1),(38,1),(59,1),(60,1)}
        44:{1,3,5}:{(27,1),(28,1),(34,1),(59,1),(61,1)}
        45:{3,6}:{(28,1),(30,1),(63,1)}
        46:{3,5}:{(29,1),(31,1),(64,1)}
        47:{3,4,7}:{(29,1),(32,1),(63,1),(65,1),(93,1)}
        48:{1,2,5,6}:{(30,1),(31,1),(36,1),(40,1),(62,1),(66,1),(67,1),(68,1),(73,1)}
        49:{1,2,4,7}:{(30,1),(33,1),(37,1),(41,1),(63,1),(66,1),(69,1),(74,1),(92,1),(93,1)}
        50:{1,2,5,7}:{(31,1),(32,1),(65,1),(67,1)}
        51:{1,4,6}:{(34,1),(35,1),(61,1),(68,1),(69,1)}
        52:{3,5,6}:{(35,1),(36,1),(68,1),(70,1),(71,1)}
        53:{3,4,7}:{(35,1),(37,1),(63,1),(69,1),(71,1),(93,1)}
        54:{2,5,7}:{(36,1),(37,1),(71,1),(72,1)}
        55:{2,4,6}:{(38,1),(39,1),(60,1),(73,1),(74,1)}
        56:{3,5,6}:{(39,1),(40,1),(73,1),(75,1),(76,1)}
        57:{3,4,7}:{(39,1),(41,1),(63,1),(74,1),(76,1),(93,1)}
        58:{1,5,7}:{(40,1),(41,1),(76,1),(77,1)}
        59:{1,2,5}:{(42,1),(43,1),(44,1),(78,1)}
        60:{2,3,6}:{(43,1),(45,1),(55,1),(78,1),(79,1)}
        61:{1,3,6}:{(44,1),(45,1),(51,1),(78,1),(80,1)}
        62:{3,5,6}:{(45,1),(46,1),(48,1),(81,1),(82,1),(84,1),(101,1)}
        63:{3,7}:{(45,1),(49,1)}
        64:{4,5}:{(46,1),(81,1)}
        65:{3,5,7}:{(46,1),(47,1),(50,1),(83,1),(84,1)}
        66:{1,2,5,7}:{(48,1),(49,1),(54,1),(58,1),(82,1),(85,1),(86,1),(89,1)}
        67:{1,2,6}:{(50,1),(84,1)}
        68:{1,5,6}:{(51,1),(52,1),(86,1)}
        69:{1,4,7}:{(51,1),(53,1),(80,1),(86,1)}
        70:{4,5,6}:{(52,1),(81,1),(87,1),(101,1)}
        71:{3,5,7}:{(52,1),(53,1),(54,1),(86,1),(87,1),(88,1)}
        72:{2,6,7}:{(54,1),(88,1)}
        73:{2,5,6}:{(55,1),(56,1),(89,1)}
        74:{2,4,7}:{(55,1),(57,1),(79,1),(89,1)}
        75:{4,5,6}:{(56,1),(81,1),(90,1),(101,1)}
        76:{3,5,7}:{(56,1),(57,1),(58,1),(89,1),(90,1),(91,1)}
        77:{1,6,7}:{(58,1),(91,1)}
        78:{1,2,6}:{(59,1),(60,1),(61,1),(92,1)}
        79:{2,3,7}:{(60,1),(63,1),(74,1),(92,1)}
        80:{1,3,7}:{(61,1),(63,1),(69,1),(92,1)}
        81:{4,6}:{(62,1),(64,1),(93,1)}
        82:{3,5,7}:{(62,1),(63,1),(66,1),(93,1),(94,1),(104,1)}
        83:{4,5,7}:{(64,1),(65,1),(93,1),(95,1),(104,1)}
        84:{3,6}:{(65,1),(67,1),(95,1)}
        85:{1,2,6,7}:{(66,1),(67,1),(72,1),(77,1),(94,1),(96,1),(98,1)}
        86:{1,5,7}:{(68,1),(69,1),(71,1),(96,1)}
        87:{4,5,7}:{(70,1),(71,1),(93,1),(97,1),(104,1)}
        88:{3,6,7}:{(71,1),(72,1),(96,1),(97,1)}
        89:{2,5,7}:{(73,1),(74,1),(76,1),(98,1)}
        90:{4,5,7}:{(75,1),(76,1),(93,1),(99,1),(104,1)}
        91:{3,6,7}:{(76,1),(77,1),(98,1),(99,1)}
        92:{1,2,7}:{(78,1),(79,1),(80,1)}
        93:{4,7}:{(81,1),(82,1)}
        94:{3,6,7}:{(82,1),(84,1),(85,1),(100,1)}
        95:{4,6}:{(83,1),(84,1),(101,1)}
        96:{1,6,7}:{(86,1),(88,1)}
        97:{4,6,7}:{(87,1),(88,1),(102,1)}
        98:{2,6,7}:{(89,1),(91,1)}
        99:{4,6,7}:{(90,1),(91,1),(103,1)}
       100:{4,6,7}:{(93,1),(94,1),(95,1),(104,1)}
       101:{5,6}:{(95,1),(104,1)}
       102:{5,6,7}:{(97,1),(104,1)}
       103:{5,6,7}:{(99,1),(104,1)}
       104:{5,7}:{(100,1),(101,1)}

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

 620 :   0:{1,4,5,6}:{(3,1),(4,1),(25,1),(32,1),(82,1)}
         1:{1,3,4,6}:{(6,1),(7,1),(8,1),(25,1),(37,1),(74,1),(86,1),(124,1),(137,1)}
         2:{1,5,6,7}:{(9,1),(11,1),(93,1),(97,1)}
         3:{1,4,5,7}:{(0,1),(11,1),(12,1),(44,1),(46,1),(97,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(14,1)}
         5:{3,4,5}:{(10,1),(16,1),(17,1),(60,1)}
         6:{1,3,5}:{(1,1),(16,1),(19,1),(60,1),(148,1),(159,1)}
         7:{1,3,4,7}:{(1,1),(18,1),(20,1),(46,1),(100,1),(113,1),(147,1),(177,1)}
         8:{1,2,4,6}:{(1,1),(19,1),(20,1),(21,1),(61,1),(63,1),(114,1)}
         9:{3,5,6,7}:{(2,1),(22,1),(23,1),(27,1),(67,1),(70,1)}
        10:{3,4,6}:{(4,1),(5,1),(24,1),(25,1),(26,1),(74,1)}
        11:{1,4,6,7}:{(2,1),(3,1),(23,1),(27,1)}
        12:{3,5,7}:{(3,1),(4,1),(24,1),(27,1),(29,1)}
        13:{1,3,5,6}:{(4,1),(6,1),(25,1),(28,1),(30,1),(37,1),(74,1),(82,1),(136,1)}
        14:{2,5,6}:{(4,1),(26,1),(29,1)}
        15:{3,4,5,7}:{(5,1),(24,1),(33,1),(34,1),(35,1),(70,1),(85,1),(115,1),(119,1),(168,1),(176,1)}
        16:{1,4,5}:{(5,1),(6,1),(25,1),(176,1)}
        17:{2,4,5}:{(5,1),(26,1),(31,1)}
        18:{1,3,5,7}:{(6,1),(7,1),(34,1),(37,1),(38,1),(85,1),(160,1),(163,1),(167,1)}
        19:{1,2,5}:{(6,1),(8,1),(39,1),(138,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(38,1),(40,1),(88,1),(191,1)}
        21:{2,3,6}:{(8,1),(39,1),(40,1),(74,1)}
        22:{2,5,6,7}:{(9,1),(42,1),(50,1),(98,1)}
        23:{4,6,7}:{(9,1),(44,1)}
        24:{3,4,7}:{(10,1),(12,1),(46,1),(47,1),(100,1)}
        25:{1,4,6}:{(10,1),(13,1),(16,1),(46,1),(158,1)}
        26:{2,4,6}:{(10,1),(14,1),(17,1),(43,1),(47,1)}
        27:{3,6,7}:{(11,1),(12,1),(50,1)}
        28:{1,3,5,7}:{(12,1),(13,1),(46,1),(49,1),(51,1),(97,1),(100,1),(149,1)}
        29:{2,5,7}:{(12,1),(14,1),(47,1),(50,1)}
        30:{1,2,5,6}:{(13,1),(14,1),(19,1),(48,1),(51,1),(52,1),(61,1),(148,1),(185,1)}
        31:{2,3,5}:{(17,1),(41,1),(43,1),(55,1),(60,1)}
        32:{4,5,6}:{(44,1),(56,1),(158,1)}
        33:{3,4,6}:{(15,1),(56,1),(57,1),(58,1),(112,1),(158,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(18,1),(46,1),(57,1),(97,1),(139,1),(143,1)}
        35:{2,4,5,7}:{(15,1),(17,1),(47,1),(54,1),(58,1),(98,1),(140,1),(144,1)}
        36:{1,2,4,5}:{(16,1),(17,1),(19,1),(48,1),(55,1),(60,1),(63,1),(104,1),(110,1),(148,1)}
        37:{1,3,6}:{(18,1),(57,1),(61,1),(112,1),(185,1)}
        38:{1,2,5,7}:{(18,1),(19,1),(20,1),(61,1),(62,1),(178,1),(181,1)}
        39:{2,3,5}:{(19,1),(21,1),(60,1),(63,1)}
        40:{2,3,7}:{(20,1),(21,1),(100,1),(201,1)}
        41:{2,3,4}:{(31,1),(65,1),(86,1)}
        42:{2,4,6,7}:{(22,1),(23,1),(66,1),(67,1)}
        43:{2,3,6}:{(26,1),(31,1),(68,1),(69,1),(74,1)}
        44:{4,5,7}:{(23,1),(32,1),(70,1),(168,1)}
        45:{3,4,6,7}:{(23,1),(24,1),(27,1),(33,1),(67,1),(70,1),(71,1),(72,1),(119,1),(126,1),(168,1)}
        46:{1,4,7}:{(24,1),(25,1),(28,1),(168,1)}
        47:{2,4,7}:{(24,1),(26,1),(29,1),(68,1)}
        48:{1,2,4,6}:{(25,1),(26,1),(30,1),(36,1),(69,1),(73,1),(74,1),(77,1),(124,1)}
        49:{1,3,6,7}:{(27,1),(28,1),(37,1),(71,1),(75,1),(126,1),(163,1)}
        50:{2,6,7}:{(27,1),(29,1)}
        51:{1,2,5,7}:{(28,1),(29,1),(30,1),(73,1),(75,1),(76,1),(167,1)}
        52:{2,3,5,6}:{(30,1),(39,1),(74,1),(76,1),(77,1),(87,1),(128,1),(136,1),(138,1),(170,1),(171,1)}
        53:{2,4,5,6}:{(32,1),(66,1),(78,1),(83,1),(132,1)}
        54:{2,3,5,7}:{(31,1),(35,1),(64,1),(68,1),(79,1),(80,1),(85,1),(116,1),(207,1)}
        55:{1,2,5}:{(31,1),(65,1),(69,1),(81,1)}
        56:{3,5,6}:{(32,1),(33,1),(70,1),(82,1),(83,1)}
        57:{1,4,6}:{(33,1),(34,1),(37,1),(82,1)}
        58:{2,4,6}:{(33,1),(35,1),(79,1),(83,1)}
        59:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(38,1),(73,1),(80,1),(84,1),(85,1),(88,1),(125,1),(130,1),(135,1),(138,1),(161,1),(164,1),(167,1),(168,1),(175,1),(176,1),(196,1),(207,1)}
        60:{3,5}:{(36,1),(74,1),(86,1)}
        61:{1,2,6}:{(37,1),(38,1),(87,1)}
        62:{2,3,5,7}:{(38,1),(39,1),(40,1),(85,1),(87,1),(88,1),(138,1),(192,1),(194,1),(207,1)}
        63:{2,4}:{(39,1),(86,1)}
        64:{2,3,4,7}:{(41,1),(54,1),(89,1),(90,1),(113,1),(144,1),(182,1),(203,1)}
        65:{1,2,4}:{(41,1),(55,1),(91,1),(110,1)}
        66:{2,4,5,7}:{(42,1),(44,1),(53,1),(92,1),(98,1),(144,1)}
        67:{3,6,7}:{(42,1),(92,1),(93,1)}
        68:{2,3,7}:{(43,1),(47,1),(95,1),(100,1)}
        69:{1,2,6}:{(43,1),(55,1),(95,1),(96,1)}
        70:{3,5,7}:{(44,1),(45,1),(56,1),(97,1),(98,1)}
        71:{1,4,6,7}:{(45,1),(46,1),(49,1),(57,1),(93,1),(97,1),(143,1)}
        72:{2,4,6,7}:{(45,1),(47,1),(50,1),(58,1),(94,1),(98,1),(144,1)}
        73:{1,2,4,7}:{(46,1),(47,1),(48,1),(51,1),(95,1),(100,1),(103,1),(147,1)}
        74:{3,6}:{(48,1),(60,1),(100,1)}
        75:{1,2,6,7}:{(49,1),(50,1),(51,1),(61,1),(102,1),(181,1),(185,1)}
        76:{2,3,5,7}:{(51,1),(52,1),(100,1),(102,1),(103,1),(149,1),(151,1),(152,1)}
        77:{2,4,6}:{(52,1),(63,1),(101,1),(103,1),(104,1),(158,1)}
        78:{3,5,6}:{(53,1),(92,1),(105,1),(106,1)}
        79:{2,3,6}:{(54,1),(58,1),(108,1),(112,1),(209,1)}
        80:{1,2,5,7}:{(54,1),(55,1),(90,1),(95,1),(108,1),(109,1),(141,1)}
        81:{1,3,5}:{(55,1),(60,1),(91,1),(96,1),(110,1),(148,1)}
        82:{1,5,6}:{(56,1),(57,1),(97,1)}
        83:{2,5,6}:{(56,1),(58,1),(98,1)}
        84:{1,2,4,6}:{(57,1),(58,1),(59,1),(61,1),(108,1),(111,1),(112,1),(114,1),(153,1),(157,1),(158,1),(185,1),(205,1),(209,1)}
        85:{3,5,7}:{(59,1),(60,1),(100,1),(112,1),(113,1),(159,1),(179,1),(182,1)}
        86:{3,4}:{(60,1),(63,1),(110,1)}
        87:{2,3,6}:{(61,1),(62,1),(112,1),(114,1),(209,1)}
        88:{2,4,7}:{(62,1),(63,1),(113,1),(114,1),(202,1)}
        89:{2,3,4,6}:{(64,1),(79,1),(116,1),(117,1),(132,1),(137,1),(173,1),(193,1),(199,1)}
        90:{1,2,4,7}:{(64,1),(65,1),(80,1),(117,1),(118,1),(135,1)}
        91:{1,3}:{(65,1)}
        92:{3,5,7}:{(66,1),(67,1),(78,1),(119,1),(120,1)}
        93:{1,6,7}:{(67,1),(120,1)}
        94:{2,3,6,7}:{(67,1),(68,1),(72,1),(79,1),(121,1),(122,1),(126,1)}
        95:{1,2,7}:{(68,1),(69,1),(123,1)}
        96:{1,3,6}:{(69,1),(74,1),(81,1),(123,1),(124,1)}
        97:{1,5,7}:{(70,1),(71,1),(82,1)}
        98:{2,5,7}:{(70,1),(72,1),(83,1)}
        99:{1,2,4,6,7}:{(71,1),(72,1),(73,1),(75,1),(84,1),(122,1),(125,1),(126,1),(129,1),(164,1),(166,1),(168,1)}
       100:{3,7}:{(73,1),(74,1)}
       101:{3,4,6}:{(74,1),(77,1),(86,1),(124,1),(127,1),(128,1),(170,1)}
       102:{2,3,6,7}:{(75,1),(76,1),(87,1),(126,1),(129,1),(170,1),(194,1)}
       103:{2,4,7}:{(76,1),(77,1),(127,1),(168,1)}
       104:{2,4,5}:{(77,1),(128,1),(138,1),(176,1)}
       105:{3,4,6}:{(78,1),(115,1),(119,1),(131,1),(132,1),(173,1)}
       106:{1,5,6}:{(78,1),(120,1),(131,1)}
       107:{2,3,5,6}:{(78,1),(79,1),(83,1),(116,1),(121,1),(132,1),(133,1),(136,1),(173,1)}
       108:{1,2,6}:{(79,1),(80,1),(134,1)}
       109:{1,3,5,7}:{(80,1),(81,1),(85,1),(118,1),(123,1),(134,1),(135,1),(162,1),(167,1),(175,1)}
       110:{1,4}:{(81,1),(86,1)}
       111:{1,2,5,6}:{(82,1),(83,1),(84,1),(125,1),(136,1),(138,1),(171,1),(175,1),(197,1)}
       112:{3,6}:{(84,1),(85,1)}
       113:{3,4,7}:{(85,1),(86,1),(88,1),(135,1),(137,1),(168,1),(193,1)}
       114:{2,4,6}:{(87,1),(88,1),(137,1),(138,1)}
       115:{3,4,5}:{(105,1),(139,1),(140,1),(179,1)}
       116:{2,3,5}:{(89,1),(140,1),(141,1),(159,1),(179,1),(206,1)}
       117:{1,2,4,6}:{(89,1),(90,1),(108,1),(141,1),(142,1),(157,1),(180,1)}
       118:{1,3,7}:{(90,1),(91,1),(142,1),(182,1)}
       119:{3,4,7}:{(92,1),(105,1),(143,1),(144,1),(182,1)}
       120:{1,5,7}:{(92,1),(93,1),(106,1),(143,1)}
       121:{2,3,5,7}:{(92,1),(94,1),(98,1),(107,1),(144,1),(145,1),(149,1),(182,1)}
       122:{1,2,6,7}:{(93,1),(94,1),(95,1),(108,1),(145,1),(146,1),(209,1)}
       123:{1,3,7}:{(95,1),(96,1),(100,1),(147,1)}
       124:{1,4,6}:{(96,1),(101,1),(110,1),(147,1),(148,1),(185,1)}
       125:{1,2,5,7}:{(97,1),(98,1),(99,1),(111,1),(149,1),(152,1),(184,1)}
       126:{3,6,7}:{(99,1),(100,1),(112,1),(149,1),(182,1)}
       127:{3,4,7}:{(100,1),(101,1),(103,1),(147,1),(151,1)}
       128:{3,5}:{(101,1),(104,1),(148,1)}
       129:{2,4,6,7}:{(102,1),(103,1),(114,1),(150,1),(152,1),(153,1),(203,1),(209,1)}
       130:{2,4,5,7}:{(103,1),(104,1),(151,1),(152,1),(153,1),(186,1)}
       131:{1,4,6}:{(105,1),(106,1),(139,1),(143,1),(154,1)}
       132:{2,4,6}:{(105,1),(107,1),(140,1),(144,1),(158,1)}
       133:{1,2,5,6}:{(106,1),(107,1),(108,1),(141,1),(145,1),(155,1),(156,1),(206,1),(209,1)}
       134:{1,3,6}:{(108,1),(109,1),(112,1),(157,1),(185,1)}
       135:{1,4,7}:{(109,1),(110,1),(113,1),(157,1),(180,1)}
       136:{3,5,6}:{(111,1),(112,1),(149,1),(158,1),(159,1)}
       137:{3,4,6}:{(112,1),(113,1),(114,1),(157,1),(158,1),(159,1)}
       138:{2,5}:{(114,1),(159,1)}
       139:{1,4,5}:{(115,1),(131,1),(160,1)}
       140:{2,4,5}:{(115,1),(116,1),(132,1),(176,1)}
       141:{1,2,5}:{(116,1),(117,1),(162,1),(175,1)}
       142:{1,3,6}:{(117,1),(118,1),(162,1),(173,1)}
       143:{1,4,7}:{(119,1),(120,1),(131,1),(163,1)}
       144:{2,4,7}:{(119,1),(121,1),(132,1),(168,1)}
       145:{1,2,5,7}:{(120,1),(121,1),(122,1),(133,1),(164,1),(165,1),(207,1)}
       146:{1,3,6,7}:{(122,1),(123,1),(126,1),(134,1),(165,1),(166,1),(208,1)}
       147:{1,4,7}:{(123,1),(124,1),(127,1),(167,1)}
       148:{1,5}:{(124,1),(128,1)}
       149:{3,5,7}:{(125,1),(126,1),(136,1),(168,1)}
       150:{3,4,6,7}:{(126,1),(127,1),(129,1),(137,1),(166,1),(168,1),(169,1),(170,1),(195,1),(198,1),(208,1)}
       151:{3,5,7}:{(127,1),(128,1),(130,1),(167,1),(170,1)}
       152:{2,5,7}:{(129,1),(138,1),(169,1),(171,1)}
       153:{2,4,6}:{(130,1),(170,1),(171,1),(198,1)}
       154:{1,3,6}:{(131,1),(160,1),(163,1),(172,1),(173,1)}
       155:{1,2,4,6}:{(131,1),(132,1),(133,1),(161,1),(164,1),(172,1),(173,1),(174,1),(199,1)}
       156:{1,3,5,6}:{(133,1),(134,1),(136,1),(162,1),(165,1),(173,1),(174,1),(175,1),(197,1),(200,1),(208,1)}
       157:{1,4,6}:{(134,1),(135,1),(137,1),(175,1)}
       158:{4,6}:{(136,1),(168,1),(176,1)}
       159:{3,5}:{(137,1),(138,1),(175,1),(176,1)}
       160:{1,3,5}:{(139,1),(154,1),(177,1),(178,1),(179,1)}
       161:{1,2,4,5}:{(139,1),(140,1),(141,1),(155,1),(178,1),(179,1),(180,1),(190,1),(202,1),(206,1)}
       162:{1,3,5}:{(141,1),(142,1),(179,1),(180,1)}
       163:{1,3,7}:{(143,1),(154,1),(181,1),(182,1)}
       164:{1,2,4,7}:{(143,1),(144,1),(145,1),(155,1),(181,1),(182,1),(183,1),(203,1)}
       165:{1,3,5,7}:{(145,1),(146,1),(149,1),(156,1),(182,1),(183,1),(184,1),(204,1)}
       166:{1,4,6,7}:{(146,1),(147,1),(150,1),(157,1),(183,1),(184,1),(185,1),(205,1)}
       167:{1,5,7}:{(147,1),(148,1),(151,1),(185,1)}
       168:{4,7}:{(149,1),(158,1)}
       169:{3,5,7}:{(150,1),(152,1),(159,1),(184,1),(186,1),(187,1)}
       170:{3,6}:{(151,1),(153,1),(185,1)}
       171:{2,5,6}:{(152,1),(153,1),(187,1),(209,1)}
       172:{1,2,6}:{(154,1),(178,1),(181,1),(188,1)}
       173:{3,6}:{(155,1),(179,1),(182,1)}
       174:{1,4,6}:{(156,1),(158,1),(180,1),(183,1),(189,1),(190,1)}
       175:{1,5}:{(157,1),(159,1)}
       176:{4,5}:{(158,1),(159,1)}
       177:{1,3,4}:{(160,1),(191,1),(193,1)}
       178:{1,2,5}:{(160,1),(172,1),(191,1),(192,1)}
       179:{3,5}:{(161,1),(173,1),(193,1)}
       180:{1,4}:{(162,1),(193,1)}
       181:{1,2,7}:{(163,1),(172,1),(194,1)}
       182:{3,7}:{(164,1),(173,1)}
       183:{1,4,7}:{(165,1),(168,1),(174,1),(195,1)}
       184:{1,5,7}:{(166,1),(169,1),(175,1),(197,1)}
       185:{1,6}:{(167,1),(170,1)}
       186:{4,5,7}:{(168,1),(169,1),(176,1),(198,1)}
       187:{3,5,6}:{(169,1),(170,1),(171,1),(197,1),(198,1),(208,1)}
       188:{2,3,6}:{(172,1),(173,1),(192,1),(194,1),(199,1)}
       189:{3,4,6}:{(173,1),(174,1),(193,1),(195,1),(199,1),(200,1),(208,1)}
       190:{1,4,5}:{(174,1),(175,1),(176,1),(200,1)}
       191:{1,2,4}:{(177,1),(178,1),(201,1),(202,1)}
       192:{2,3,5}:{(178,1),(179,1),(188,1),(201,1),(202,1),(206,1)}
       193:{3,4}:{(179,1),(180,1),(202,1)}
       194:{2,3,7}:{(181,1),(182,1),(188,1),(203,1)}
       195:{3,4,7}:{(182,1),(183,1),(189,1),(203,1),(204,1)}
       196:{1,4,5,7}:{(183,1),(184,1),(186,1),(190,1),(204,1),(205,1)}
       197:{1,5,6}:{(184,1),(185,1),(187,1),(205,1)}
       198:{4,6}:{(186,1),(187,1)}
       199:{2,4,6}:{(188,1),(189,1),(202,1),(203,1),(206,1),(209,1)}
       200:{3,5}:{(189,1),(190,1),(206,1)}
       201:{2,3}:{(191,1)}
       202:{2,4}:{(192,1),(193,1)}
       203:{2,4,7}:{(194,1),(195,1),(199,1),(207,1)}
       204:{3,5,7}:{(195,1),(196,1),(200,1),(207,1),(208,1)}
       205:{1,4,6}:{(196,1),(197,1),(198,1),(208,1)}
       206:{2,5}:{(199,1),(200,1)}
       207:{2,5,7}:{(203,1),(204,1),(206,1),(209,1)}
       208:{3,6}:{(204,1),(205,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

 621 :   0:{1,5,6,7}:{(2,1),(4,1),(74,1),(81,1)}
         1:{1,3,4,7}:{(6,1),(7,1),(8,1),(86,1),(87,1),(144,1),(171,1),(184,1)}
         2:{3,5,6,7}:{(0,1),(9,1),(10,1),(16,1),(47,1),(51,1)}
         3:{3,4,5,7}:{(12,1),(13,1),(14,1),(20,1),(51,1),(57,1),(58,1),(98,1),(103,1),(162,1),(164,1)}
         4:{1,4,6,7}:{(0,1),(10,1),(15,1),(16,1)}
         5:{1,4,5,6}:{(11,1),(15,1),(17,1),(54,1),(62,1)}
         6:{1,3,5,7}:{(1,1),(13,1),(18,1),(19,1),(21,1),(57,1),(151,1),(154,1),(198,1)}
         7:{1,3,4,6}:{(1,1),(18,1),(21,1),(22,1),(62,1),(115,1),(121,1),(125,1),(169,1)}
         8:{1,2,4,7}:{(1,1),(19,1),(22,1),(23,1),(66,1),(188,1)}
         9:{2,5,6,7}:{(2,1),(24,1),(35,1),(82,1)}
        10:{4,6,7}:{(2,1),(27,1)}
        11:{4,5,6}:{(27,1),(29,1),(141,1)}
        12:{3,4,6}:{(3,1),(29,1),(30,1),(31,1),(85,1),(141,1)}
        13:{1,4,5,7}:{(3,1),(6,1),(30,1),(41,1),(81,1),(87,1),(126,1),(131,1)}
        14:{2,4,5,7}:{(3,1),(26,1),(31,1),(42,1),(82,1),(88,1),(127,1),(132,1)}
        15:{1,4,5,7}:{(4,1),(5,1),(27,1),(33,1),(81,1),(87,1)}
        16:{3,6,7}:{(4,1),(33,1),(35,1)}
        17:{3,5,6}:{(5,1),(33,1),(36,1),(38,1)}
        18:{1,3,6}:{(6,1),(30,1),(39,1),(85,1),(206,1)}
        19:{1,2,5,7}:{(6,1),(8,1),(39,1),(40,1),(43,1),(172,1),(175,1)}
        20:{3,4,5}:{(36,1),(41,1),(42,1),(96,1)}
        21:{1,3,5}:{(7,1),(41,1),(43,1),(96,1),(142,1),(187,1)}
        22:{1,2,4,6}:{(7,1),(8,1),(39,1),(43,1),(44,1),(94,1),(97,1)}
        23:{2,3,7}:{(8,1),(44,1),(144,1),(200,1)}
        24:{2,4,6,7}:{(9,1),(10,1),(46,1),(47,1)}
        25:{2,4,5,6}:{(11,1),(46,1),(48,1),(55,1),(108,1)}
        26:{2,3,5,7}:{(14,1),(45,1),(49,1),(50,1),(57,1),(67,1),(99,1),(116,1),(207,1)}
        27:{4,5,7}:{(10,1),(11,1),(51,1),(162,1)}
        28:{3,4,6,7}:{(10,1),(12,1),(16,1),(47,1),(51,1),(52,1),(53,1),(58,1),(103,1),(113,1),(162,1)}
        29:{3,5,6}:{(11,1),(12,1),(51,1),(54,1),(55,1)}
        30:{1,4,6}:{(12,1),(13,1),(18,1),(54,1)}
        31:{2,4,6}:{(12,1),(14,1),(49,1),(55,1)}
        32:{1,2,4,5,7}:{(13,1),(14,1),(19,1),(50,1),(56,1),(57,1),(66,1),(68,1),(111,1),(112,1),(117,1),(123,1),(152,1),(155,1),(161,1),(162,1),(164,1),(167,1),(193,1),(198,1),(207,1)}
        33:{3,5,7}:{(15,1),(16,1),(17,1),(58,1),(60,1)}
        34:{1,3,6,7}:{(16,1),(18,1),(52,1),(59,1),(61,1),(113,1),(154,1)}
        35:{2,6,7}:{(16,1),(60,1)}
        36:{3,4,6}:{(17,1),(20,1),(58,1),(62,1),(63,1),(121,1)}
        37:{1,3,5,6}:{(17,1),(18,1),(21,1),(54,1),(59,1),(62,1),(64,1),(114,1),(121,1)}
        38:{2,5,6}:{(17,1),(60,1),(63,1)}
        39:{1,2,6}:{(18,1),(19,1),(65,1)}
        40:{2,3,5,7}:{(19,1),(23,1),(57,1),(65,1),(66,1),(69,1),(123,1),(189,1),(191,1),(207,1)}
        41:{1,4,5}:{(20,1),(21,1),(62,1),(164,1)}
        42:{2,4,5}:{(20,1),(63,1),(67,1)}
        43:{1,2,5}:{(21,1),(22,1),(69,1),(123,1)}
        44:{2,3,6}:{(22,1),(23,1),(69,1),(121,1)}
        45:{2,3,4,7}:{(26,1),(70,1),(71,1),(72,1),(86,1),(132,1),(176,1),(202,1)}
        46:{2,4,5,7}:{(24,1),(25,1),(27,1),(73,1),(82,1),(132,1)}
        47:{3,6,7}:{(24,1),(73,1),(74,1)}
        48:{3,5,6}:{(25,1),(73,1),(76,1),(77,1)}
        49:{2,3,6}:{(26,1),(31,1),(79,1),(85,1),(209,1)}
        50:{1,2,5,7}:{(26,1),(71,1),(79,1),(80,1),(95,1),(128,1),(143,1)}
        51:{3,5,7}:{(27,1),(28,1),(29,1),(81,1),(82,1)}
        52:{1,4,6,7}:{(28,1),(30,1),(34,1),(74,1),(81,1),(87,1),(131,1)}
        53:{2,4,6,7}:{(28,1),(31,1),(35,1),(75,1),(82,1),(88,1),(132,1)}
        54:{1,5,6}:{(29,1),(30,1),(81,1)}
        55:{2,5,6}:{(29,1),(31,1),(82,1)}
        56:{1,2,4,6}:{(30,1),(31,1),(32,1),(39,1),(79,1),(84,1),(85,1),(94,1),(138,1),(141,1),(186,1),(204,1),(206,1),(209,1)}
        57:{3,5,7}:{(32,1),(85,1),(86,1),(96,1),(142,1),(144,1),(173,1),(176,1)}
        58:{3,4,7}:{(33,1),(36,1),(87,1),(88,1),(144,1)}
        59:{1,3,5,7}:{(33,1),(34,1),(37,1),(81,1),(87,1),(89,1),(139,1),(144,1)}
        60:{2,5,7}:{(33,1),(35,1),(38,1),(88,1)}
        61:{1,2,6,7}:{(34,1),(35,1),(39,1),(89,1),(90,1),(175,1),(206,1)}
        62:{1,4,6}:{(36,1),(37,1),(41,1),(87,1),(141,1)}
        63:{2,4,6}:{(36,1),(38,1),(42,1),(88,1),(91,1)}
        64:{1,2,5,6}:{(37,1),(38,1),(39,1),(43,1),(89,1),(92,1),(93,1),(187,1),(206,1)}
        65:{2,3,6}:{(39,1),(40,1),(85,1),(94,1),(209,1)}
        66:{2,4,7}:{(40,1),(86,1),(94,1),(97,1),(201,1)}
        67:{2,3,5}:{(42,1),(72,1),(91,1),(95,1),(96,1)}
        68:{1,2,4,5}:{(41,1),(42,1),(43,1),(92,1),(95,1),(96,1),(97,1),(149,1),(150,1),(187,1)}
        69:{2,3,5}:{(43,1),(44,1),(96,1),(97,1)}
        70:{2,3,4,6}:{(45,1),(49,1),(99,1),(100,1),(108,1),(115,1),(159,1),(190,1),(195,1)}
        71:{1,2,4,7}:{(45,1),(50,1),(100,1),(101,1),(102,1),(111,1)}
        72:{2,3,4}:{(67,1),(102,1),(125,1)}
        73:{3,5,7}:{(46,1),(47,1),(48,1),(103,1),(104,1)}
        74:{1,6,7}:{(47,1),(104,1)}
        75:{2,3,6,7}:{(47,1),(49,1),(53,1),(105,1),(106,1),(113,1),(116,1)}
        76:{3,4,6}:{(48,1),(98,1),(103,1),(107,1),(108,1),(159,1)}
        77:{1,5,6}:{(48,1),(104,1),(107,1)}
        78:{2,3,5,6}:{(48,1),(49,1),(55,1),(99,1),(105,1),(108,1),(109,1),(114,1),(159,1)}
        79:{1,2,6}:{(49,1),(50,1),(110,1)}
        80:{1,3,5,7}:{(50,1),(57,1),(101,1),(110,1),(111,1),(124,1),(153,1),(161,1),(165,1),(198,1)}
        81:{1,5,7}:{(51,1),(52,1),(54,1)}
        82:{2,5,7}:{(51,1),(53,1),(55,1)}
        83:{1,2,4,6,7}:{(52,1),(53,1),(56,1),(61,1),(106,1),(112,1),(113,1),(117,1),(119,1),(155,1),(157,1),(162,1)}
        84:{1,2,5,6}:{(54,1),(55,1),(56,1),(112,1),(114,1),(123,1),(161,1),(168,1),(194,1)}
        85:{3,6}:{(56,1),(57,1)}
        86:{3,4,7}:{(57,1),(66,1),(111,1),(115,1),(125,1),(162,1),(190,1)}
        87:{1,4,7}:{(58,1),(59,1),(62,1),(162,1)}
        88:{2,4,7}:{(58,1),(60,1),(63,1),(116,1)}
        89:{1,2,5,7}:{(59,1),(60,1),(61,1),(64,1),(117,1),(118,1),(198,1)}
        90:{2,3,6,7}:{(61,1),(65,1),(113,1),(118,1),(119,1),(191,1),(199,1)}
        91:{2,3,6}:{(63,1),(67,1),(116,1),(120,1),(121,1)}
        92:{1,2,4,6}:{(62,1),(63,1),(64,1),(68,1),(117,1),(120,1),(121,1),(122,1),(169,1)}
        93:{2,3,5,6}:{(64,1),(65,1),(69,1),(114,1),(118,1),(121,1),(122,1),(123,1),(168,1),(170,1),(199,1)}
        94:{2,4,6}:{(65,1),(66,1),(115,1),(123,1)}
        95:{1,2,5}:{(67,1),(102,1),(120,1),(124,1)}
        96:{3,5}:{(68,1),(121,1),(125,1)}
        97:{2,4}:{(69,1),(125,1)}
        98:{3,4,5}:{(76,1),(126,1),(127,1),(173,1)}
        99:{2,3,5}:{(70,1),(127,1),(128,1),(142,1),(173,1),(205,1)}
       100:{1,2,4,6}:{(70,1),(71,1),(79,1),(128,1),(129,1),(138,1),(174,1)}
       101:{1,3,7}:{(71,1),(129,1),(130,1),(176,1)}
       102:{1,2,4}:{(72,1),(95,1),(130,1),(150,1)}
       103:{3,4,7}:{(73,1),(76,1),(131,1),(132,1),(176,1)}
       104:{1,5,7}:{(73,1),(74,1),(77,1),(131,1)}
       105:{2,3,5,7}:{(73,1),(75,1),(78,1),(82,1),(132,1),(133,1),(139,1),(176,1)}
       106:{1,2,6,7}:{(74,1),(75,1),(79,1),(133,1),(134,1),(143,1),(209,1)}
       107:{1,4,6}:{(76,1),(77,1),(126,1),(131,1),(135,1)}
       108:{2,4,6}:{(76,1),(78,1),(127,1),(132,1),(141,1)}
       109:{1,2,5,6}:{(77,1),(78,1),(79,1),(128,1),(133,1),(136,1),(137,1),(205,1),(209,1)}
       110:{1,3,6}:{(79,1),(80,1),(85,1),(138,1),(206,1)}
       111:{1,4,7}:{(80,1),(86,1),(138,1),(150,1),(174,1)}
       112:{1,2,5,7}:{(81,1),(82,1),(83,1),(84,1),(139,1),(146,1),(178,1)}
       113:{3,6,7}:{(83,1),(85,1),(139,1),(144,1),(176,1)}
       114:{3,5,6}:{(84,1),(85,1),(139,1),(141,1),(142,1)}
       115:{3,4,6}:{(85,1),(86,1),(94,1),(138,1),(141,1),(142,1)}
       116:{2,3,7}:{(88,1),(91,1),(143,1),(144,1)}
       117:{1,2,4,7}:{(87,1),(88,1),(89,1),(92,1),(143,1),(144,1),(145,1),(184,1)}
       118:{2,3,5,7}:{(89,1),(90,1),(93,1),(139,1),(144,1),(145,1),(146,1),(185,1)}
       119:{2,4,6,7}:{(90,1),(94,1),(140,1),(145,1),(146,1),(186,1),(202,1),(209,1)}
       120:{1,2,6}:{(91,1),(95,1),(143,1),(147,1)}
       121:{3,6}:{(92,1),(96,1),(144,1)}
       122:{2,4,6}:{(93,1),(97,1),(141,1),(145,1),(148,1),(149,1)}
       123:{2,5}:{(94,1),(142,1)}
       124:{1,3,5}:{(95,1),(96,1),(130,1),(147,1),(150,1),(187,1)}
       125:{3,4}:{(96,1),(97,1),(150,1)}
       126:{1,4,5}:{(98,1),(107,1),(151,1)}
       127:{2,4,5}:{(98,1),(99,1),(108,1),(164,1)}
       128:{1,2,5}:{(99,1),(100,1),(153,1),(161,1)}
       129:{1,3,6}:{(100,1),(101,1),(153,1),(159,1)}
       130:{1,3}:{(102,1)}
       131:{1,4,7}:{(103,1),(104,1),(107,1),(154,1)}
       132:{2,4,7}:{(103,1),(105,1),(108,1),(162,1)}
       133:{1,2,5,7}:{(104,1),(105,1),(106,1),(109,1),(155,1),(156,1),(207,1)}
       134:{1,3,6,7}:{(106,1),(110,1),(113,1),(156,1),(157,1),(165,1),(208,1)}
       135:{1,3,6}:{(107,1),(151,1),(154,1),(158,1),(159,1)}
       136:{1,2,4,6}:{(107,1),(108,1),(109,1),(152,1),(155,1),(158,1),(159,1),(160,1),(195,1)}
       137:{1,3,5,6}:{(109,1),(110,1),(114,1),(153,1),(156,1),(159,1),(160,1),(161,1),(194,1),(196,1),(208,1)}
       138:{1,4,6}:{(110,1),(111,1),(115,1),(161,1)}
       139:{3,5,7}:{(112,1),(113,1),(114,1),(162,1)}
       140:{3,4,6,7}:{(113,1),(115,1),(119,1),(157,1),(162,1),(163,1),(166,1),(192,1),(197,1),(199,1),(208,1)}
       141:{4,6}:{(114,1),(162,1),(164,1)}
       142:{3,5}:{(115,1),(123,1),(161,1),(164,1)}
       143:{1,2,7}:{(116,1),(120,1),(165,1)}
       144:{3,7}:{(117,1),(121,1)}
       145:{2,4,7}:{(118,1),(122,1),(162,1),(166,1)}
       146:{2,5,7}:{(119,1),(123,1),(163,1),(168,1)}
       147:{1,3,6}:{(120,1),(121,1),(124,1),(165,1),(169,1)}
       148:{3,4,6}:{(121,1),(122,1),(125,1),(166,1),(169,1),(170,1),(199,1)}
       149:{2,4,5}:{(122,1),(123,1),(164,1),(170,1)}
       150:{1,4}:{(124,1),(125,1)}
       151:{1,3,5}:{(126,1),(135,1),(171,1),(172,1),(173,1)}
       152:{1,2,4,5}:{(126,1),(127,1),(128,1),(136,1),(172,1),(173,1),(174,1),(181,1),(201,1),(205,1)}
       153:{1,3,5}:{(128,1),(129,1),(173,1),(174,1)}
       154:{1,3,7}:{(131,1),(135,1),(175,1),(176,1)}
       155:{1,2,4,7}:{(131,1),(132,1),(133,1),(136,1),(175,1),(176,1),(177,1),(202,1)}
       156:{1,3,5,7}:{(133,1),(134,1),(137,1),(139,1),(176,1),(177,1),(178,1),(203,1)}
       157:{1,4,6,7}:{(134,1),(138,1),(140,1),(177,1),(178,1),(184,1),(204,1),(206,1)}
       158:{1,2,6}:{(135,1),(172,1),(175,1),(179,1)}
       159:{3,6}:{(136,1),(173,1),(176,1)}
       160:{1,4,6}:{(137,1),(141,1),(174,1),(177,1),(180,1),(181,1)}
       161:{1,5}:{(138,1),(142,1)}
       162:{4,7}:{(139,1),(141,1)}
       163:{3,5,7}:{(140,1),(142,1),(146,1),(178,1),(182,1),(183,1)}
       164:{4,5}:{(141,1),(142,1)}
       165:{1,3,7}:{(143,1),(144,1),(147,1),(184,1)}
       166:{3,4,7}:{(144,1),(145,1),(148,1),(184,1),(185,1)}
       167:{2,4,5,7}:{(145,1),(146,1),(149,1),(182,1),(185,1),(186,1)}
       168:{2,5,6}:{(146,1),(183,1),(186,1),(209,1)}
       169:{1,4,6}:{(147,1),(148,1),(150,1),(184,1),(187,1),(206,1)}
       170:{3,5}:{(148,1),(149,1),(187,1)}
       171:{1,3,4}:{(151,1),(188,1),(190,1)}
       172:{1,2,5}:{(151,1),(158,1),(188,1),(189,1)}
       173:{3,5}:{(152,1),(159,1),(190,1)}
       174:{1,4}:{(153,1),(190,1)}
       175:{1,2,7}:{(154,1),(158,1),(191,1)}
       176:{3,7}:{(155,1),(159,1)}
       177:{1,4,7}:{(156,1),(160,1),(162,1),(192,1)}
       178:{1,5,7}:{(157,1),(161,1),(163,1),(194,1)}
       179:{2,3,6}:{(158,1),(159,1),(189,1),(191,1),(195,1)}
       180:{3,4,6}:{(159,1),(160,1),(190,1),(192,1),(195,1),(196,1),(208,1)}
       181:{1,4,5}:{(160,1),(161,1),(164,1),(196,1)}
       182:{4,5,7}:{(162,1),(163,1),(164,1),(197,1)}
       183:{3,5,6}:{(163,1),(168,1),(194,1),(197,1),(199,1),(208,1)}
       184:{1,4,7}:{(165,1),(166,1),(169,1),(198,1)}
       185:{3,5,7}:{(166,1),(167,1),(170,1),(198,1),(199,1)}
       186:{2,4,6}:{(167,1),(168,1),(197,1),(199,1)}
       187:{1,5}:{(169,1),(170,1)}
       188:{1,2,4}:{(171,1),(172,1),(200,1),(201,1)}
       189:{2,3,5}:{(172,1),(173,1),(179,1),(200,1),(201,1),(205,1)}
       190:{3,4}:{(173,1),(174,1),(201,1)}
       191:{2,3,7}:{(175,1),(176,1),(179,1),(202,1)}
       192:{3,4,7}:{(176,1),(177,1),(180,1),(202,1),(203,1)}
       193:{1,4,5,7}:{(177,1),(178,1),(181,1),(182,1),(203,1),(204,1)}
       194:{1,5,6}:{(178,1),(183,1),(204,1),(206,1)}
       195:{2,4,6}:{(179,1),(180,1),(201,1),(202,1),(205,1),(209,1)}
       196:{3,5}:{(180,1),(181,1),(205,1)}
       197:{4,6}:{(182,1),(183,1)}
       198:{1,5,7}:{(184,1),(185,1),(187,1),(206,1)}
       199:{3,6}:{(185,1),(186,1),(206,1)}
       200:{2,3}:{(188,1)}
       201:{2,4}:{(189,1),(190,1)}
       202:{2,4,7}:{(191,1),(192,1),(195,1),(207,1)}
       203:{3,5,7}:{(192,1),(193,1),(196,1),(207,1),(208,1)}
       204:{1,4,6}:{(193,1),(194,1),(197,1),(208,1)}
       205:{2,5}:{(195,1),(196,1)}
       206:{1,6}:{(198,1),(199,1)}
       207:{2,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       208:{3,6}:{(203,1),(204,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

 622 :   0:{1,3,4,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1),(51,1),(55,1),(83,1),(90,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(69,1),(100,1),(104,1)}
         2:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(37,1),(71,1),(101,1)}
         3:{2,3,6,7}:{(1,1),(8,1),(29,1),(113,1),(117,1)}
         4:{1,2,5,7}:{(1,1),(2,1),(8,1),(9,1),(53,1),(114,1)}
         5:{1,3,5,6}:{(2,1),(9,1),(11,1),(29,1),(32,1)}
         6:{1,4,5,7}:{(2,1),(11,1),(12,1),(83,1),(86,1)}
         7:{1,3,5,6,7}:{(5,1),(13,1),(14,1),(36,1),(37,1),(67,1),(120,1)}
         8:{2,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(18,1),(125,1)}
         9:{1,2,5,6}:{(4,1),(5,1),(15,1),(17,1),(47,1),(71,1)}
        10:{1,2,4,5,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(21,1),(39,1),(41,1),(46,1),(71,1),(100,1),(102,1)}
        11:{1,4,6}:{(5,1),(6,1),(20,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(66,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(9,1),(22,1),(23,1),(53,1),(80,1),(85,1),(108,1)}
        14:{1,4,6,7}:{(7,1),(11,1),(24,1),(25,1),(83,1),(129,1)}
        15:{2,3,5,6}:{(8,1),(9,1),(26,1),(29,1),(54,1)}
        16:{2,4,7}:{(8,1),(26,1),(27,1),(132,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(11,1),(26,1),(29,1),(33,1),(55,1),(61,1)}
        18:{3,5,7}:{(10,1),(27,1),(29,1),(54,1),(113,1),(115,1)}
        19:{1,4,5,6}:{(11,1),(24,1),(32,1)}
        20:{3,4,6}:{(11,1),(12,1),(29,1),(32,1),(33,1)}
        21:{2,4,5,7}:{(12,1),(31,1),(33,1),(53,1),(84,1),(87,1)}
        22:{2,3,5,6,7}:{(13,1),(15,1),(34,1),(36,1),(63,1),(68,1),(94,1)}
        23:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(38,1),(64,1),(69,1),(100,1),(119,1)}
        24:{1,4,5,7}:{(14,1),(19,1),(37,1),(135,1)}
        25:{3,4,6,7}:{(14,1),(20,1),(36,1),(37,1),(38,1),(66,1),(134,1)}
        26:{2,4,6}:{(15,1),(16,1),(39,1),(40,1)}
        27:{3,4,7}:{(16,1),(18,1),(40,1),(41,1),(126,1)}
        28:{1,2,4,5,6}:{(17,1),(19,1),(35,1),(39,1),(43,1),(47,1),(62,1),(71,1),(75,1),(76,1),(77,1),(93,1),(102,1),(119,1),(135,1),(139,1)}
        29:{3,6}:{(17,1),(18,1)}
        30:{1,3,5,7}:{(18,1),(41,1),(44,1),(46,1),(71,1),(74,1),(103,1)}
        31:{2,3,5,7}:{(18,1),(21,1),(42,1),(45,1),(46,1),(72,1)}
        32:{3,5,6}:{(19,1),(20,1),(37,1),(47,1)}
        33:{2,4,6}:{(20,1),(21,1),(45,1),(47,1)}
        34:{2,4,6,7}:{(22,1),(26,1),(48,1),(49,1),(84,1),(107,1)}
        35:{1,2,4,5,7}:{(23,1),(24,1),(28,1),(48,1),(50,1),(53,1),(80,1),(83,1),(84,1),(85,1)}
        36:{3,6,7}:{(23,1),(29,1),(50,1),(113,1),(128,1)}
        37:{3,5,7}:{(24,1),(25,1),(32,1),(53,1),(138,1)}
        38:{2,4,6,7}:{(25,1),(33,1),(52,1),(53,1),(84,1),(137,1)}
        39:{2,4,5}:{(26,1),(54,1)}
        40:{3,4,6}:{(26,1),(27,1),(29,1),(54,1),(55,1)}
        41:{1,4,7}:{(27,1),(30,1),(55,1),(116,1)}
        42:{2,3,4,7}:{(27,1),(31,1),(56,1),(57,1),(84,1),(113,1)}
        43:{3,5,6}:{(28,1),(29,1),(50,1),(54,1),(58,1),(115,1),(128,1),(138,1)}
        44:{1,3,6}:{(29,1),(30,1),(55,1),(61,1)}
        45:{2,3,6}:{(29,1),(31,1),(33,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(57,1),(61,1),(88,1)}
        47:{2,5,6}:{(32,1),(33,1),(53,1)}
        48:{2,4,5,7}:{(34,1),(39,1),(62,1),(63,1)}
        49:{3,4,6,7}:{(34,1),(36,1),(40,1),(63,1),(64,1),(66,1),(92,1)}
        50:{3,5,7}:{(35,1),(36,1),(43,1),(66,1)}
        51:{1,3,6,7}:{(36,1),(44,1),(64,1),(67,1),(69,1),(118,1)}
        52:{2,3,6,7}:{(36,1),(38,1),(45,1),(68,1),(69,1),(133,1)}
        53:{2,5,7}:{(37,1),(38,1),(47,1),(139,1)}
        54:{3,5}:{(39,1),(40,1),(71,1)}
        55:{1,4,6}:{(40,1),(41,1),(44,1),(71,1)}
        56:{2,3,4,6}:{(40,1),(42,1),(45,1),(72,1),(73,1),(76,1),(105,1),(126,1)}
        57:{1,2,4,7}:{(41,1),(42,1),(46,1),(73,1),(74,1)}
        58:{3,4,6}:{(43,1),(66,1),(70,1),(75,1),(76,1),(105,1),(126,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(67,1),(71,1),(75,1),(77,1),(93,1),(101,1),(103,1),(105,1),(118,1)}
        60:{2,3,5,6}:{(43,1),(45,1),(47,1),(68,1),(72,1),(76,1),(77,1),(105,1),(125,1),(133,1),(139,1)}
        61:{1,2,6}:{(44,1),(45,1),(46,1)}
        62:{2,4,5,6}:{(48,1),(78,1),(107,1)}
        63:{3,5,7}:{(48,1),(49,1),(54,1),(78,1),(80,1)}
        64:{1,4,6,7}:{(49,1),(51,1),(55,1),(80,1),(83,1),(106,1)}
        65:{2,3,4,6,7}:{(49,1),(52,1),(56,1),(81,1),(82,1),(84,1),(107,1),(113,1),(128,1),(131,1),(137,1)}
        66:{3,4,7}:{(50,1),(58,1),(83,1),(84,1),(113,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(59,1),(80,1),(83,1),(85,1),(113,1)}
        68:{2,3,5,7}:{(50,1),(52,1),(53,1),(60,1),(84,1),(85,1),(113,1)}
        69:{1,2,6,7}:{(51,1),(52,1),(61,1),(85,1),(127,1)}
        70:{3,4,5}:{(54,1),(58,1),(86,1),(87,1),(115,1),(138,1)}
        71:{1,5}:{(54,1),(55,1)}
        72:{2,3,5}:{(54,1),(56,1),(87,1),(88,1),(115,1)}
        73:{1,2,4,6}:{(55,1),(56,1),(57,1),(61,1),(88,1),(89,1),(116,1)}
        74:{1,3,7}:{(57,1),(89,1),(113,1)}
        75:{1,4,6}:{(58,1),(59,1),(83,1),(86,1),(116,1)}
        76:{2,4,6}:{(58,1),(60,1),(84,1),(87,1),(132,1)}
        77:{1,2,5,6}:{(59,1),(60,1),(61,1),(85,1),(88,1),(91,1),(114,1),(127,1)}
        78:{3,5,6}:{(62,1),(63,1),(92,1),(93,1)}
        79:{3,4,5,7}:{(63,1),(66,1),(70,1),(92,1),(95,1),(96,1),(122,1)}
        80:{1,5,7}:{(63,1),(64,1),(71,1),(93,1)}
        81:{2,3,5,7}:{(63,1),(65,1),(72,1),(94,1),(96,1),(97,1),(122,1),(139,1)}
        82:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(73,1),(97,1),(98,1),(100,1),(119,1),(123,1)}
        83:{1,4,7}:{(66,1),(67,1),(75,1)}
        84:{2,4,7}:{(66,1),(68,1),(76,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(77,1),(100,1)}
        86:{1,4,5}:{(70,1),(71,1),(75,1),(101,1)}
        87:{2,4,5}:{(70,1),(72,1),(76,1),(139,1)}
        88:{1,2,5}:{(71,1),(72,1),(73,1),(103,1)}
        89:{1,3,6}:{(73,1),(74,1),(103,1),(105,1)}
        90:{1,3,4,6}:{(75,1),(99,1),(101,1),(104,1),(105,1),(118,1),(126,1),(134,1)}
        91:{1,2,4,6}:{(75,1),(76,1),(77,1),(100,1),(102,1),(105,1)}
        92:{3,4,6}:{(78,1),(79,1),(106,1),(107,1),(128,1)}
        93:{1,5,6}:{(78,1),(80,1),(106,1)}
        94:{2,3,5,6}:{(78,1),(81,1),(107,1),(108,1),(128,1)}
        95:{1,4,5,7}:{(79,1),(80,1),(83,1),(86,1),(106,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(81,1),(84,1),(87,1),(107,1)}
        97:{1,2,5,7}:{(80,1),(81,1),(82,1),(88,1),(108,1),(111,1)}
        98:{1,3,6,7}:{(82,1),(89,1),(111,1),(113,1),(128,1)}
        99:{1,3,4,7}:{(83,1),(90,1),(109,1),(112,1),(113,1),(131,1)}
       100:{1,2,4,7}:{(83,1),(84,1),(85,1),(91,1),(113,1)}
       101:{1,3,5}:{(86,1),(90,1),(114,1),(115,1),(138,1)}
       102:{1,2,4,5}:{(86,1),(87,1),(88,1),(91,1),(114,1),(115,1),(116,1),(132,1)}
       103:{1,3,5}:{(88,1),(89,1),(115,1),(116,1)}
       104:{1,2,4,6}:{(90,1),(112,1),(114,1),(117,1),(127,1),(132,1),(137,1)}
       105:{3,6}:{(91,1),(113,1),(115,1)}
       106:{1,4,6}:{(92,1),(93,1),(95,1),(118,1)}
       107:{2,4,6}:{(92,1),(94,1),(96,1)}
       108:{1,2,5,6}:{(93,1),(94,1),(97,1),(119,1),(120,1),(139,1)}
       109:{1,3,5,7}:{(95,1),(99,1),(101,1),(118,1),(121,1),(122,1)}
       110:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(100,1),(102,1),(119,1),(121,1),(122,1),(123,1),(135,1),(136,1),(139,1)}
       111:{1,3,5,7}:{(97,1),(98,1),(103,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,7}:{(99,1),(104,1),(121,1),(124,1),(136,1)}
       113:{3,7}:{(100,1),(105,1)}
       114:{1,2,5}:{(101,1),(104,1),(125,1),(139,1)}
       115:{3,5}:{(102,1),(105,1),(126,1)}
       116:{1,4}:{(103,1),(126,1)}
       117:{2,3,6}:{(104,1),(105,1),(124,1),(125,1)}
       118:{1,3,6}:{(106,1),(109,1),(127,1),(128,1)}
       119:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(127,1),(128,1),(129,1),(137,1)}
       120:{1,3,5,6}:{(108,1),(111,1),(128,1),(129,1),(138,1)}
       121:{1,2,5,7}:{(109,1),(112,1),(114,1),(127,1),(130,1)}
       122:{3,5,7}:{(110,1),(113,1),(115,1),(128,1),(131,1),(138,1)}
       123:{1,4,7}:{(111,1),(116,1),(129,1),(131,1)}
       124:{2,3,7}:{(112,1),(113,1),(117,1)}
       125:{2,3,5}:{(114,1),(115,1),(117,1),(132,1)}
       126:{3,4}:{(115,1),(116,1),(132,1)}
       127:{1,2,6}:{(118,1),(121,1),(133,1)}
       128:{3,6}:{(119,1),(122,1)}
       129:{1,4,6}:{(120,1),(123,1),(134,1),(135,1)}
       130:{2,3,5,7}:{(121,1),(122,1),(124,1),(125,1),(133,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(126,1),(134,1),(136,1)}
       132:{2,4}:{(125,1),(126,1)}
       133:{2,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{3,4,6}:{(128,1),(129,1),(131,1),(137,1),(138,1)}
       135:{1,4,5}:{(129,1),(138,1)}
       136:{2,4,7}:{(130,1),(131,1),(132,1),(137,1)}
       137:{2,4,6}:{(133,1),(134,1),(136,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

 623 :   0:{2,3,4,5}:{(1,1),(2,1),(25,1),(63,1),(74,1)}
         1:{1,2,4,5}:{(0,1),(3,1),(4,1),(14,1),(44,1),(50,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(52,1)}
         3:{1,3,5}:{(1,1),(8,1),(9,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(33,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(12,1),(13,1),(35,1),(63,1),(123,1)}
         6:{2,3,4,7}:{(2,1),(11,1),(13,1),(79,1)}
         7:{1,2,3,5}:{(3,1),(14,1),(15,1),(41,1),(44,1)}
         8:{1,3,4}:{(3,1),(14,1)}
         9:{1,3,6}:{(3,1),(4,1),(19,1)}
        10:{1,2,5,6}:{(4,1),(5,1),(18,1),(21,1),(44,1),(96,1)}
        11:{1,2,4,7}:{(4,1),(6,1),(19,1),(21,1),(53,1)}
        12:{2,4,5,6}:{(5,1),(22,1),(23,1),(90,1),(155,1)}
        13:{2,3,5,7}:{(5,1),(6,1),(21,1),(23,1),(24,1),(57,1)}
        14:{1,2,4}:{(7,1),(8,1),(25,1)}
        15:{1,2,3,6}:{(7,1),(9,1),(27,1),(29,1),(62,1)}
        16:{1,3,4,5}:{(8,1),(26,1),(30,1),(31,1),(121,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(27,1),(31,1),(32,1),(33,1),(69,1),(76,1)}
        18:{1,3,5,6}:{(9,1),(10,1),(31,1),(33,1),(34,1),(35,1),(76,1),(142,1)}
        19:{1,3,7}:{(9,1),(11,1)}
        20:{1,2,4,5,6}:{(10,1),(12,1),(33,1),(35,1),(36,1),(38,1),(67,1),(78,1),(81,1),(130,1),(142,1),(200,1),(201,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(13,1),(34,1),(37,1)}
        22:{3,4,5,6}:{(12,1),(35,1),(38,1),(39,1),(121,1),(183,1),(201,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(39,1),(40,1)}
        24:{2,3,6,7}:{(13,1),(37,1),(40,1),(84,1),(123,1)}
        25:{2,3,4}:{(14,1),(41,1)}
        26:{1,2,4,5}:{(14,1),(16,1),(41,1),(43,1),(44,1),(90,1)}
        27:{1,2,4,6}:{(14,1),(15,1),(17,1),(42,1),(44,1),(45,1),(96,1)}
        28:{1,2,3,5,6}:{(15,1),(18,1),(44,1),(46,1),(47,1),(56,1),(88,1),(94,1),(96,1),(156,1),(160,1),(163,1),(164,1),(165,1),(215,1)}
        29:{1,2,3,7}:{(15,1),(19,1),(45,1),(89,1)}
        30:{1,3,4,6}:{(16,1),(43,1),(48,1),(49,1),(149,1)}
        31:{1,3,5}:{(17,1),(44,1),(50,1),(94,1)}
        32:{1,3,4,7}:{(17,1),(19,1),(45,1),(51,1),(53,1),(99,1)}
        33:{1,4,6}:{(18,1),(50,1),(52,1),(53,1)}
        34:{1,3,5,7}:{(18,1),(19,1),(21,1),(53,1),(54,1),(57,1),(112,1)}
        35:{3,5,6}:{(20,1),(52,1),(57,1),(94,1),(163,1)}
        36:{1,2,4,5,7}:{(20,1),(21,1),(23,1),(53,1),(57,1),(58,1),(59,1),(110,1),(112,1),(113,1),(175,1),(176,1)}
        37:{1,2,6,7}:{(21,1),(24,1),(54,1),(96,1)}
        38:{1,4,5,6}:{(22,1),(55,1),(59,1),(152,1),(208,1)}
        39:{3,4,5,7}:{(22,1),(23,1),(57,1),(59,1),(60,1),(176,1)}
        40:{2,4,6,7}:{(23,1),(24,1),(60,1),(61,1),(155,1)}
        41:{2,3,5}:{(25,1),(26,1),(62,1)}
        42:{2,3,4,6}:{(25,1),(27,1),(62,1),(63,1),(64,1),(69,1),(119,1),(123,1)}
        43:{1,2,4,6}:{(26,1),(30,1),(62,1),(65,1),(66,1),(119,1)}
        44:{1,2,5}:{(27,1),(31,1),(63,1)}
        45:{1,2,4,7}:{(27,1),(29,1),(32,1),(64,1),(68,1)}
        46:{1,2,4,6}:{(28,1),(33,1),(67,1),(69,1),(70,1),(78,1),(119,1),(177,1)}
        47:{1,2,3,5,7}:{(28,1),(29,1),(34,1),(68,1),(70,1),(71,1),(83,1),(120,1),(129,1),(135,1),(186,1),(191,1),(195,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(65,1),(72,1),(73,1),(76,1),(124,1)}
        49:{1,3,4,7}:{(30,1),(66,1),(73,1),(179,1)}
        50:{1,4,5}:{(31,1),(33,1),(74,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(68,1),(75,1),(76,1),(129,1)}
        52:{3,4,6}:{(33,1),(35,1),(74,1),(78,1),(79,1)}
        53:{1,4,7}:{(33,1),(34,1),(79,1)}
        54:{1,3,6,7}:{(34,1),(37,1),(76,1),(80,1),(84,1)}
        55:{1,3,5,6}:{(35,1),(38,1),(77,1),(81,1),(82,1),(127,1),(192,1)}
        56:{2,3,5,6}:{(35,1),(78,1),(81,1),(83,1),(128,1),(143,1),(193,1),(200,1)}
        57:{3,5,7}:{(35,1),(36,1),(79,1),(84,1)}
        58:{1,2,4,6,7}:{(36,1),(37,1),(40,1),(80,1),(84,1),(85,1),(86,1),(130,1),(145,1),(147,1),(148,1)}
        59:{1,4,5,7}:{(38,1),(39,1),(82,1),(86,1)}
        60:{3,4,6,7}:{(39,1),(40,1),(84,1),(86,1),(87,1),(148,1),(183,1)}
        61:{2,5,6,7}:{(40,1),(87,1),(184,1)}
        62:{2,3,6}:{(41,1),(43,1),(89,1)}
        63:{2,3,5}:{(42,1),(44,1),(90,1),(94,1)}
        64:{2,3,4,7}:{(42,1),(45,1),(89,1),(91,1),(99,1),(150,1)}
        65:{1,2,5,6}:{(43,1),(44,1),(48,1),(88,1),(93,1),(96,1)}
        66:{1,2,4,7}:{(43,1),(49,1),(89,1),(93,1),(150,1)}
        67:{1,2,4,5}:{(44,1),(46,1),(50,1),(90,1),(94,1),(105,1),(152,1),(160,1)}
        68:{1,2,5,7}:{(44,1),(45,1),(51,1),(91,1),(96,1)}
        69:{3,4,6}:{(46,1),(94,1),(99,1),(163,1)}
        70:{1,2,4,7}:{(46,1),(47,1),(53,1),(99,1),(110,1),(150,1),(203,1)}
        71:{1,2,3,6,7}:{(47,1),(54,1),(96,1),(100,1),(115,1),(151,1),(163,1),(211,1),(215,1)}
        72:{1,4,5,6}:{(48,1),(50,1),(101,1),(102,1),(107,1)}
        73:{1,3,5,7}:{(48,1),(49,1),(93,1),(102,1),(103,1),(158,1)}
        74:{3,4,5}:{(50,1),(52,1),(94,1),(105,1)}
        75:{1,4,5,7}:{(50,1),(51,1),(53,1),(106,1),(107,1),(112,1)}
        76:{1,3,6}:{(51,1),(96,1),(107,1),(163,1)}
        77:{1,3,4,6}:{(52,1),(55,1),(104,1),(108,1),(109,1)}
        78:{2,4,6}:{(52,1),(56,1),(105,1),(110,1)}
        79:{3,4,7}:{(52,1),(53,1),(57,1),(110,1)}
        80:{1,4,6,7}:{(53,1),(54,1),(107,1),(111,1),(112,1)}
        81:{1,2,5,6}:{(55,1),(56,1),(108,1),(113,1),(160,1),(215,1)}
        82:{1,3,5,7}:{(55,1),(57,1),(59,1),(109,1),(113,1),(114,1)}
        83:{2,3,5,7}:{(56,1),(57,1),(110,1),(113,1),(115,1),(174,1),(175,1)}
        84:{3,6,7}:{(57,1),(58,1),(163,1)}
        85:{1,2,5,6,7}:{(58,1),(61,1),(112,1),(116,1),(117,1),(164,1),(175,1)}
        86:{1,4,6,7}:{(59,1),(60,1),(114,1),(117,1),(208,1)}
        87:{3,5,6,7}:{(60,1),(61,1),(117,1),(118,1),(209,1)}
        88:{2,3,5,6}:{(62,1),(63,1),(65,1),(119,1),(120,1),(123,1),(124,1),(184,1)}
        89:{2,3,7}:{(62,1),(66,1)}
        90:{2,4,5}:{(63,1),(119,1),(121,1)}
        91:{2,3,5,7}:{(63,1),(64,1),(68,1),(122,1),(123,1),(129,1)}
        92:{1,2,4,5,6}:{(65,1),(67,1),(72,1),(119,1),(124,1),(125,1),(130,1),(136,1),(177,1),(184,1),(185,1),(224,1),(225,1)}
        93:{1,2,5,7}:{(65,1),(66,1),(73,1),(120,1),(126,1)}
        94:{3,5}:{(67,1),(69,1)}
        95:{1,2,4,5,7}:{(67,1),(68,1),(70,1),(75,1),(122,1),(129,1),(130,1),(135,1),(140,1),(182,1),(191,1),(196,1)}
        96:{1,2,6}:{(68,1),(76,1),(123,1)}
        97:{1,3,4,6}:{(69,1),(127,1),(131,1),(132,1),(177,1),(192,1),(219,1),(223,1)}
        98:{2,3,4,6}:{(69,1),(78,1),(128,1),(131,1),(133,1),(143,1),(193,1),(199,1)}
        99:{3,4,7}:{(69,1),(70,1),(129,1)}
       100:{1,2,4,6,7}:{(70,1),(71,1),(80,1),(130,1),(134,1),(135,1),(145,1),(180,1),(221,1)}
       101:{3,4,5,6}:{(72,1),(74,1),(124,1),(136,1),(137,1),(141,1),(225,1)}
       102:{1,4,5,7}:{(72,1),(73,1),(137,1),(138,1)}
       103:{1,3,6,7}:{(73,1),(76,1),(126,1),(138,1),(188,1)}
       104:{1,3,4,5}:{(74,1),(77,1),(127,1),(139,1),(223,1)}
       105:{2,4,5}:{(74,1),(78,1),(128,1)}
       106:{3,4,5,7}:{(74,1),(75,1),(79,1),(129,1),(140,1),(141,1),(146,1),(196,1)}
       107:{1,4,6}:{(75,1),(76,1),(141,1),(142,1)}
       108:{1,2,4,6}:{(77,1),(78,1),(81,1),(139,1),(143,1),(144,1)}
       109:{1,3,4,7}:{(77,1),(79,1),(82,1),(144,1)}
       110:{2,4,7}:{(78,1),(79,1),(83,1)}
       111:{3,4,6,7}:{(79,1),(80,1),(84,1),(141,1),(145,1),(146,1),(148,1)}
       112:{1,5,7}:{(80,1),(142,1),(146,1)}
       113:{1,2,5,7}:{(81,1),(82,1),(83,1),(144,1),(147,1)}
       114:{1,3,6,7}:{(82,1),(84,1),(86,1),(147,1),(192,1)}
       115:{2,3,6,7}:{(83,1),(84,1),(145,1),(147,1),(193,1)}
       116:{3,5,6,7}:{(84,1),(85,1),(146,1),(148,1),(194,1)}
       117:{1,5,6,7}:{(86,1),(87,1),(224,1)}
       118:{4,5,6,7}:{(87,1),(148,1),(225,1)}
       119:{2,4,6}:{(88,1),(90,1),(149,1),(150,1)}
       120:{2,3,5,7}:{(88,1),(89,1),(93,1),(150,1),(151,1),(158,1),(206,1)}
       121:{3,4,5}:{(90,1),(94,1),(149,1),(152,1)}
       122:{2,4,5,7}:{(90,1),(91,1),(150,1),(154,1),(155,1),(206,1)}
       123:{2,3,6}:{(91,1),(96,1),(155,1),(163,1)}
       124:{3,5,6}:{(92,1),(94,1),(149,1),(158,1),(163,1)}
       125:{1,2,4,5,7}:{(92,1),(93,1),(102,1),(150,1),(158,1),(159,1),(168,1),(203,1),(206,1),(210,1),(229,1),(230,1)}
       126:{1,2,6,7}:{(93,1),(96,1),(103,1),(151,1)}
       127:{1,3,5}:{(94,1),(97,1),(152,1),(160,1)}
       128:{2,3,5}:{(94,1),(98,1),(105,1),(160,1)}
       129:{3,5,7}:{(94,1),(95,1),(99,1),(163,1)}
       130:{1,2,4,6}:{(95,1),(96,1),(107,1),(155,1),(163,1),(164,1),(172,1),(208,1),(215,1),(216,1)}
       131:{1,2,4,6}:{(97,1),(98,1),(160,1),(165,1),(166,1),(214,1),(215,1)}
       132:{1,3,4,7}:{(97,1),(99,1),(161,1),(166,1),(203,1),(228,1)}
       133:{2,3,4,7}:{(98,1),(99,1),(110,1),(162,1),(166,1),(174,1)}
       134:{3,4,6,7}:{(99,1),(100,1),(163,1),(167,1),(216,1)}
       135:{1,2,5,7}:{(100,1),(112,1),(164,1),(167,1),(175,1),(206,1),(229,1)}
       136:{2,4,5,6}:{(101,1),(105,1),(157,1),(168,1),(172,1)}
       137:{3,4,5,7}:{(101,1),(102,1),(158,1),(168,1),(169,1),(230,1)}
       138:{1,4,6,7}:{(102,1),(103,1),(107,1),(169,1),(170,1)}
       139:{1,2,4,5}:{(104,1),(105,1),(108,1),(160,1),(171,1),(214,1)}
       140:{2,4,5,7}:{(105,1),(106,1),(110,1),(162,1),(172,1),(175,1)}
       141:{3,4,6}:{(106,1),(107,1),(163,1),(172,1),(173,1),(216,1)}
       142:{1,5,6}:{(107,1),(112,1),(173,1)}
       143:{2,3,6}:{(108,1),(171,1),(174,1)}
       144:{1,2,4,7}:{(108,1),(109,1),(110,1),(113,1),(174,1)}
       145:{2,4,6,7}:{(110,1),(111,1),(115,1),(172,1),(175,1)}
       146:{3,5,7}:{(111,1),(112,1),(173,1),(175,1),(176,1)}
       147:{1,2,6,7}:{(113,1),(114,1),(115,1),(215,1)}
       148:{4,6,7}:{(116,1),(176,1),(216,1)}
       149:{3,4,6}:{(119,1),(121,1),(124,1),(177,1),(179,1)}
       150:{2,4,7}:{(119,1),(120,1),(179,1)}
       151:{2,3,6,7}:{(120,1),(123,1),(126,1),(180,1),(188,1)}
       152:{1,4,5}:{(121,1),(127,1),(177,1)}
       153:{2,3,4,5}:{(121,1),(128,1),(178,1),(181,1),(199,1)}
       154:{3,4,5,7}:{(121,1),(122,1),(129,1),(179,1),(182,1),(183,1),(196,1),(222,1)}
       155:{2,4,6}:{(122,1),(123,1),(183,1),(184,1)}
       156:{1,3,5,6}:{(124,1),(127,1),(177,1),(185,1),(186,1),(192,1),(219,1),(224,1)}
       157:{2,3,5,6}:{(124,1),(128,1),(136,1),(178,1),(185,1),(187,1),(193,1)}
       158:{3,5,7}:{(124,1),(125,1),(179,1),(188,1)}
       159:{1,2,4,6,7}:{(125,1),(126,1),(130,1),(138,1),(180,1),(188,1),(189,1),(197,1),(221,1),(226,1),(227,1)}
       160:{1,2,5}:{(127,1),(128,1),(131,1)}
       161:{1,3,5,7}:{(127,1),(129,1),(132,1),(182,1),(191,1),(192,1)}
       162:{2,3,5,7}:{(128,1),(129,1),(133,1),(140,1),(191,1),(193,1)}
       163:{3,6}:{(129,1),(130,1)}
       164:{1,2,5,6}:{(130,1),(135,1),(142,1),(184,1),(194,1),(200,1),(224,1)}
       165:{1,2,3,6}:{(131,1),(143,1),(190,1),(195,1),(219,1)}
       166:{1,2,4,7}:{(131,1),(132,1),(133,1),(191,1),(195,1)}
       167:{3,5,7}:{(134,1),(135,1),(194,1),(196,1)}
       168:{2,4,5,7}:{(136,1),(137,1),(187,1),(197,1)}
       169:{3,4,6,7}:{(137,1),(138,1),(141,1),(188,1),(197,1),(198,1),(227,1)}
       170:{1,5,6,7}:{(138,1),(142,1),(198,1)}
       171:{2,3,5}:{(139,1),(143,1),(199,1)}
       172:{2,4,6}:{(140,1),(141,1),(193,1),(200,1)}
       173:{3,5,6}:{(141,1),(142,1),(146,1),(200,1),(201,1)}
       174:{2,3,7}:{(143,1),(144,1)}
       175:{2,5,7}:{(145,1),(146,1),(200,1)}
       176:{4,5,7}:{(146,1),(148,1),(201,1)}
       177:{1,4,6}:{(149,1),(152,1),(156,1),(203,1)}
       178:{2,3,4,6}:{(149,1),(153,1),(157,1),(202,1),(204,1)}
       179:{3,4,7}:{(149,1),(150,1),(158,1),(203,1)}
       180:{2,4,6,7}:{(150,1),(151,1),(155,1),(205,1),(206,1)}
       181:{1,2,4,5}:{(152,1),(153,1),(160,1),(202,1),(207,1),(214,1)}
       182:{1,4,5,7}:{(152,1),(154,1),(161,1),(203,1),(208,1),(229,1)}
       183:{3,4,6}:{(154,1),(155,1),(163,1),(208,1),(209,1),(216,1)}
       184:{2,5,6}:{(155,1),(206,1),(209,1)}
       185:{1,2,5,6}:{(156,1),(157,1),(160,1),(202,1),(210,1),(215,1)}
       186:{1,3,5,7}:{(156,1),(158,1),(203,1),(210,1),(211,1),(228,1),(229,1)}
       187:{2,3,5,7}:{(157,1),(158,1),(168,1),(204,1),(210,1),(212,1)}
       188:{3,6,7}:{(158,1),(159,1),(163,1)}
       189:{1,2,5,6,7}:{(159,1),(164,1),(170,1),(206,1),(213,1),(217,1),(229,1)}
       190:{1,2,3,5}:{(160,1),(165,1),(171,1),(207,1),(214,1)}
       191:{1,2,5,7}:{(160,1),(161,1),(162,1),(166,1),(215,1)}
       192:{1,3,6}:{(161,1),(163,1),(208,1),(215,1)}
       193:{2,3,6}:{(162,1),(163,1),(172,1),(215,1)}
       194:{3,5,6}:{(163,1),(164,1),(167,1),(216,1)}
       195:{1,2,3,7}:{(165,1),(166,1),(174,1),(228,1)}
       196:{4,5,7}:{(167,1),(216,1)}
       197:{2,4,6,7}:{(168,1),(169,1),(172,1),(212,1),(217,1)}
       198:{3,5,6,7}:{(169,1),(170,1),(173,1),(217,1),(218,1)}
       199:{2,3,4}:{(171,1),(214,1)}
       200:{2,5,6}:{(172,1),(173,1),(175,1)}
       201:{4,5,6}:{(173,1),(176,1),(216,1)}
       202:{1,2,4,6}:{(177,1),(178,1),(181,1),(185,1),(219,1),(220,1)}
       203:{1,4,7}:{(177,1),(179,1),(186,1)}
       204:{2,3,4,7}:{(178,1),(179,1),(187,1),(220,1)}
       205:{3,4,6,7}:{(179,1),(180,1),(183,1),(188,1),(221,1),(222,1),(227,1)}
       206:{2,5,7}:{(180,1),(184,1),(222,1)}
       207:{1,3,5}:{(181,1),(219,1),(223,1)}
       208:{1,4,6}:{(182,1),(183,1),(192,1),(224,1)}
       209:{3,5,6}:{(183,1),(184,1),(222,1),(224,1),(225,1)}
       210:{1,2,5,7}:{(185,1),(186,1),(187,1),(220,1),(226,1)}
       211:{1,3,6,7}:{(186,1),(188,1),(192,1),(221,1),(226,1)}
       212:{2,3,6,7}:{(187,1),(188,1),(193,1),(197,1),(226,1)}
       213:{3,5,6,7}:{(188,1),(189,1),(194,1),(222,1),(227,1)}
       214:{1,2,4}:{(190,1),(199,1),(223,1)}
       215:{1,2,6}:{(191,1),(192,1),(193,1)}
       216:{4,6}:{(194,1),(196,1)}
       217:{2,5,6,7}:{(197,1),(198,1),(200,1)}
       218:{4,5,6,7}:{(198,1),(201,1),(227,1)}
       219:{1,3,6}:{(202,1),(207,1),(228,1)}
       220:{1,2,4,7}:{(202,1),(203,1),(204,1),(210,1),(228,1)}
       221:{1,4,6,7}:{(203,1),(205,1),(208,1),(211,1),(229,1)}
       222:{3,5,7}:{(205,1),(206,1),(209,1),(229,1),(230,1)}
       223:{1,3,4}:{(207,1),(214,1)}
       224:{1,5,6}:{(208,1),(209,1),(229,1)}
       225:{4,5,6}:{(209,1),(216,1),(230,1)}
       226:{1,2,6,7}:{(210,1),(211,1),(212,1),(215,1)}
       227:{4,6,7}:{(213,1),(216,1),(230,1)}
       228:{1,3,7}:{(219,1),(220,1)}
       229:{1,5,7}:{(221,1),(222,1),(224,1)}
       230:{4,5,7}:{(222,1),(225,1),(227,1)}

 624 :   0:{2,4,5,6}:{(3,1),(4,1),(26,1),(32,1),(83,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(26,1),(37,1),(74,1),(86,1),(124,1),(137,1)}
         2:{2,5,6,7}:{(9,1),(11,1),(94,1),(98,1)}
         3:{2,4,5,7}:{(0,1),(11,1),(12,1),(44,1),(47,1),(98,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(13,1)}
         5:{3,4,5}:{(10,1),(16,1),(17,1),(60,1)}
         6:{2,3,5}:{(1,1),(17,1),(19,1),(60,1),(148,1),(159,1)}
         7:{2,3,4,7}:{(1,1),(18,1),(20,1),(47,1),(100,1),(113,1),(147,1),(177,1)}
         8:{1,2,4,6}:{(1,1),(19,1),(20,1),(21,1),(61,1),(63,1),(114,1)}
         9:{3,5,6,7}:{(2,1),(22,1),(23,1),(27,1),(67,1),(70,1)}
        10:{3,4,6}:{(4,1),(5,1),(24,1),(25,1),(26,1),(74,1)}
        11:{2,4,6,7}:{(2,1),(3,1),(23,1),(27,1)}
        12:{3,5,7}:{(3,1),(4,1),(24,1),(27,1),(28,1)}
        13:{1,5,6}:{(4,1),(25,1),(28,1)}
        14:{2,3,5,6}:{(4,1),(6,1),(26,1),(29,1),(30,1),(37,1),(74,1),(83,1),(136,1)}
        15:{3,4,5,7}:{(5,1),(24,1),(33,1),(34,1),(35,1),(70,1),(85,1),(115,1),(119,1),(168,1),(176,1)}
        16:{1,4,5}:{(5,1),(25,1),(31,1)}
        17:{2,4,5}:{(5,1),(6,1),(26,1),(176,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(35,1),(37,1),(38,1),(85,1),(160,1),(163,1),(167,1)}
        19:{1,2,5}:{(6,1),(8,1),(39,1),(138,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(38,1),(40,1),(88,1),(191,1)}
        21:{1,3,6}:{(8,1),(39,1),(40,1),(74,1)}
        22:{1,5,6,7}:{(9,1),(42,1),(49,1),(97,1)}
        23:{4,6,7}:{(9,1),(44,1)}
        24:{3,4,7}:{(10,1),(12,1),(46,1),(47,1),(100,1)}
        25:{1,4,6}:{(10,1),(13,1),(16,1),(43,1),(46,1)}
        26:{2,4,6}:{(10,1),(14,1),(17,1),(47,1),(158,1)}
        27:{3,6,7}:{(11,1),(12,1),(49,1)}
        28:{1,5,7}:{(12,1),(13,1),(46,1),(49,1)}
        29:{2,3,5,7}:{(12,1),(14,1),(47,1),(50,1),(51,1),(98,1),(100,1),(149,1)}
        30:{1,2,5,6}:{(13,1),(14,1),(19,1),(48,1),(51,1),(52,1),(61,1),(148,1),(185,1)}
        31:{1,3,5}:{(16,1),(41,1),(43,1),(55,1),(60,1)}
        32:{4,5,6}:{(44,1),(56,1),(158,1)}
        33:{3,4,6}:{(15,1),(56,1),(57,1),(58,1),(112,1),(158,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(46,1),(54,1),(57,1),(97,1),(139,1),(143,1)}
        35:{2,4,5,7}:{(15,1),(17,1),(18,1),(47,1),(58,1),(98,1),(140,1),(144,1)}
        36:{1,2,4,5}:{(16,1),(17,1),(19,1),(48,1),(55,1),(60,1),(63,1),(104,1),(110,1),(148,1)}
        37:{2,3,6}:{(18,1),(58,1),(61,1),(112,1),(185,1)}
        38:{1,2,5,7}:{(18,1),(19,1),(20,1),(61,1),(62,1),(178,1),(181,1)}
        39:{1,3,5}:{(19,1),(21,1),(60,1),(63,1)}
        40:{1,3,7}:{(20,1),(21,1),(100,1),(201,1)}
        41:{1,3,4}:{(31,1),(65,1),(86,1)}
        42:{1,4,6,7}:{(22,1),(23,1),(66,1),(67,1)}
        43:{1,3,6}:{(25,1),(31,1),(68,1),(69,1),(74,1)}
        44:{4,5,7}:{(23,1),(32,1),(70,1),(168,1)}
        45:{3,4,6,7}:{(23,1),(24,1),(27,1),(33,1),(67,1),(70,1),(71,1),(72,1),(119,1),(126,1),(168,1)}
        46:{1,4,7}:{(24,1),(25,1),(28,1),(68,1)}
        47:{2,4,7}:{(24,1),(26,1),(29,1),(168,1)}
        48:{1,2,4,6}:{(25,1),(26,1),(30,1),(36,1),(69,1),(73,1),(74,1),(77,1),(124,1)}
        49:{1,6,7}:{(27,1),(28,1)}
        50:{2,3,6,7}:{(27,1),(29,1),(37,1),(72,1),(75,1),(126,1),(163,1)}
        51:{1,2,5,7}:{(28,1),(29,1),(30,1),(73,1),(75,1),(76,1),(167,1)}
        52:{1,3,5,6}:{(30,1),(39,1),(74,1),(76,1),(77,1),(87,1),(128,1),(136,1),(138,1),(170,1),(171,1)}
        53:{1,4,5,6}:{(32,1),(66,1),(78,1),(82,1),(131,1)}
        54:{1,3,5,7}:{(31,1),(34,1),(64,1),(68,1),(79,1),(80,1),(85,1),(116,1),(207,1)}
        55:{1,2,5}:{(31,1),(65,1),(69,1),(81,1)}
        56:{3,5,6}:{(32,1),(33,1),(70,1),(82,1),(83,1)}
        57:{1,4,6}:{(33,1),(34,1),(79,1),(82,1)}
        58:{2,4,6}:{(33,1),(35,1),(37,1),(83,1)}
        59:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(38,1),(73,1),(80,1),(84,1),(85,1),(88,1),(125,1),(130,1),(135,1),(138,1),(161,1),(164,1),(167,1),(168,1),(175,1),(176,1),(196,1),(207,1)}
        60:{3,5}:{(36,1),(74,1),(86,1)}
        61:{1,2,6}:{(37,1),(38,1),(87,1)}
        62:{1,3,5,7}:{(38,1),(39,1),(40,1),(85,1),(87,1),(88,1),(138,1),(192,1),(194,1),(207,1)}
        63:{1,4}:{(39,1),(86,1)}
        64:{1,3,4,7}:{(41,1),(54,1),(89,1),(90,1),(113,1),(143,1),(182,1),(203,1)}
        65:{1,2,4}:{(41,1),(55,1),(91,1),(110,1)}
        66:{1,4,5,7}:{(42,1),(44,1),(53,1),(92,1),(97,1),(143,1)}
        67:{3,6,7}:{(42,1),(92,1),(94,1)}
        68:{1,3,7}:{(43,1),(46,1),(95,1),(100,1)}
        69:{1,2,6}:{(43,1),(55,1),(95,1),(96,1)}
        70:{3,5,7}:{(44,1),(45,1),(56,1),(97,1),(98,1)}
        71:{1,4,6,7}:{(45,1),(46,1),(49,1),(57,1),(93,1),(97,1),(143,1)}
        72:{2,4,6,7}:{(45,1),(47,1),(50,1),(58,1),(94,1),(98,1),(144,1)}
        73:{1,2,4,7}:{(46,1),(47,1),(48,1),(51,1),(95,1),(100,1),(103,1),(147,1)}
        74:{3,6}:{(48,1),(60,1),(100,1)}
        75:{1,2,6,7}:{(49,1),(50,1),(51,1),(61,1),(102,1),(181,1),(185,1)}
        76:{1,3,5,7}:{(51,1),(52,1),(100,1),(102,1),(103,1),(149,1),(151,1),(152,1)}
        77:{1,4,6}:{(52,1),(63,1),(101,1),(103,1),(104,1),(158,1)}
        78:{3,5,6}:{(53,1),(92,1),(105,1),(107,1)}
        79:{1,3,6}:{(54,1),(57,1),(108,1),(112,1),(209,1)}
        80:{1,2,5,7}:{(54,1),(55,1),(90,1),(95,1),(108,1),(109,1),(141,1)}
        81:{2,3,5}:{(55,1),(60,1),(91,1),(96,1),(110,1),(148,1)}
        82:{1,5,6}:{(56,1),(57,1),(97,1)}
        83:{2,5,6}:{(56,1),(58,1),(98,1)}
        84:{1,2,4,6}:{(57,1),(58,1),(59,1),(61,1),(108,1),(111,1),(112,1),(114,1),(153,1),(157,1),(158,1),(185,1),(205,1),(209,1)}
        85:{3,5,7}:{(59,1),(60,1),(100,1),(112,1),(113,1),(159,1),(179,1),(182,1)}
        86:{3,4}:{(60,1),(63,1),(110,1)}
        87:{1,3,6}:{(61,1),(62,1),(112,1),(114,1),(209,1)}
        88:{1,4,7}:{(62,1),(63,1),(113,1),(114,1),(202,1)}
        89:{1,3,4,6}:{(64,1),(79,1),(116,1),(117,1),(131,1),(137,1),(173,1),(193,1),(199,1)}
        90:{1,2,4,7}:{(64,1),(65,1),(80,1),(117,1),(118,1),(135,1)}
        91:{2,3}:{(65,1)}
        92:{3,5,7}:{(66,1),(67,1),(78,1),(119,1),(121,1)}
        93:{1,3,6,7}:{(67,1),(68,1),(71,1),(79,1),(120,1),(122,1),(126,1)}
        94:{2,6,7}:{(67,1),(121,1)}
        95:{1,2,7}:{(68,1),(69,1),(123,1)}
        96:{2,3,6}:{(69,1),(74,1),(81,1),(123,1),(124,1)}
        97:{1,5,7}:{(70,1),(71,1),(82,1)}
        98:{2,5,7}:{(70,1),(72,1),(83,1)}
        99:{1,2,4,6,7}:{(71,1),(72,1),(73,1),(75,1),(84,1),(122,1),(125,1),(126,1),(129,1),(164,1),(166,1),(168,1)}
       100:{3,7}:{(73,1),(74,1)}
       101:{3,4,6}:{(74,1),(77,1),(86,1),(124,1),(127,1),(128,1),(170,1)}
       102:{1,3,6,7}:{(75,1),(76,1),(87,1),(126,1),(129,1),(170,1),(194,1)}
       103:{1,4,7}:{(76,1),(77,1),(127,1),(168,1)}
       104:{1,4,5}:{(77,1),(128,1),(138,1),(176,1)}
       105:{3,4,6}:{(78,1),(115,1),(119,1),(131,1),(132,1),(173,1)}
       106:{1,3,5,6}:{(78,1),(79,1),(82,1),(116,1),(120,1),(131,1),(133,1),(136,1),(173,1)}
       107:{2,5,6}:{(78,1),(121,1),(132,1)}
       108:{1,2,6}:{(79,1),(80,1),(134,1)}
       109:{2,3,5,7}:{(80,1),(81,1),(85,1),(118,1),(123,1),(134,1),(135,1),(162,1),(167,1),(175,1)}
       110:{2,4}:{(81,1),(86,1)}
       111:{1,2,5,6}:{(82,1),(83,1),(84,1),(125,1),(136,1),(138,1),(171,1),(175,1),(197,1)}
       112:{3,6}:{(84,1),(85,1)}
       113:{3,4,7}:{(85,1),(86,1),(88,1),(135,1),(137,1),(168,1),(193,1)}
       114:{1,4,6}:{(87,1),(88,1),(137,1),(138,1)}
       115:{3,4,5}:{(105,1),(139,1),(140,1),(179,1)}
       116:{1,3,5}:{(89,1),(139,1),(141,1),(159,1),(179,1),(206,1)}
       117:{1,2,4,6}:{(89,1),(90,1),(108,1),(141,1),(142,1),(157,1),(180,1)}
       118:{2,3,7}:{(90,1),(91,1),(142,1),(182,1)}
       119:{3,4,7}:{(92,1),(105,1),(143,1),(144,1),(182,1)}
       120:{1,3,5,7}:{(92,1),(93,1),(97,1),(106,1),(143,1),(145,1),(149,1),(182,1)}
       121:{2,5,7}:{(92,1),(94,1),(107,1),(144,1)}
       122:{1,2,6,7}:{(93,1),(94,1),(95,1),(108,1),(145,1),(146,1),(209,1)}
       123:{2,3,7}:{(95,1),(96,1),(100,1),(147,1)}
       124:{2,4,6}:{(96,1),(101,1),(110,1),(147,1),(148,1),(185,1)}
       125:{1,2,5,7}:{(97,1),(98,1),(99,1),(111,1),(149,1),(152,1),(184,1)}
       126:{3,6,7}:{(99,1),(100,1),(112,1),(149,1),(182,1)}
       127:{3,4,7}:{(100,1),(101,1),(103,1),(147,1),(151,1)}
       128:{3,5}:{(101,1),(104,1),(148,1)}
       129:{1,4,6,7}:{(102,1),(103,1),(114,1),(150,1),(152,1),(153,1),(203,1),(209,1)}
       130:{1,4,5,7}:{(103,1),(104,1),(151,1),(152,1),(153,1),(186,1)}
       131:{1,4,6}:{(105,1),(106,1),(139,1),(143,1),(158,1)}
       132:{2,4,6}:{(105,1),(107,1),(140,1),(144,1),(154,1)}
       133:{1,2,5,6}:{(106,1),(107,1),(108,1),(141,1),(145,1),(155,1),(156,1),(206,1),(209,1)}
       134:{2,3,6}:{(108,1),(109,1),(112,1),(157,1),(185,1)}
       135:{2,4,7}:{(109,1),(110,1),(113,1),(157,1),(180,1)}
       136:{3,5,6}:{(111,1),(112,1),(149,1),(158,1),(159,1)}
       137:{3,4,6}:{(112,1),(113,1),(114,1),(157,1),(158,1),(159,1)}
       138:{1,5}:{(114,1),(159,1)}
       139:{1,4,5}:{(115,1),(116,1),(131,1),(176,1)}
       140:{2,4,5}:{(115,1),(132,1),(160,1)}
       141:{1,2,5}:{(116,1),(117,1),(162,1),(175,1)}
       142:{2,3,6}:{(117,1),(118,1),(162,1),(173,1)}
       143:{1,4,7}:{(119,1),(120,1),(131,1),(168,1)}
       144:{2,4,7}:{(119,1),(121,1),(132,1),(163,1)}
       145:{1,2,5,7}:{(120,1),(121,1),(122,1),(133,1),(164,1),(165,1),(207,1)}
       146:{2,3,6,7}:{(122,1),(123,1),(126,1),(134,1),(165,1),(166,1),(208,1)}
       147:{2,4,7}:{(123,1),(124,1),(127,1),(167,1)}
       148:{2,5}:{(124,1),(128,1)}
       149:{3,5,7}:{(125,1),(126,1),(136,1),(168,1)}
       150:{3,4,6,7}:{(126,1),(127,1),(129,1),(137,1),(166,1),(168,1),(169,1),(170,1),(195,1),(198,1),(208,1)}
       151:{3,5,7}:{(127,1),(128,1),(130,1),(167,1),(170,1)}
       152:{1,5,7}:{(129,1),(138,1),(169,1),(171,1)}
       153:{1,4,6}:{(130,1),(170,1),(171,1),(198,1)}
       154:{2,3,6}:{(132,1),(160,1),(163,1),(172,1),(173,1)}
       155:{1,2,4,6}:{(131,1),(132,1),(133,1),(161,1),(164,1),(172,1),(173,1),(174,1),(199,1)}
       156:{2,3,5,6}:{(133,1),(134,1),(136,1),(162,1),(165,1),(173,1),(174,1),(175,1),(197,1),(200,1),(208,1)}
       157:{2,4,6}:{(134,1),(135,1),(137,1),(175,1)}
       158:{4,6}:{(136,1),(168,1),(176,1)}
       159:{3,5}:{(137,1),(138,1),(175,1),(176,1)}
       160:{2,3,5}:{(140,1),(154,1),(177,1),(178,1),(179,1)}
       161:{1,2,4,5}:{(139,1),(140,1),(141,1),(155,1),(178,1),(179,1),(180,1),(190,1),(202,1),(206,1)}
       162:{2,3,5}:{(141,1),(142,1),(179,1),(180,1)}
       163:{2,3,7}:{(144,1),(154,1),(181,1),(182,1)}
       164:{1,2,4,7}:{(143,1),(144,1),(145,1),(155,1),(181,1),(182,1),(183,1),(203,1)}
       165:{2,3,5,7}:{(145,1),(146,1),(149,1),(156,1),(182,1),(183,1),(184,1),(204,1)}
       166:{2,4,6,7}:{(146,1),(147,1),(150,1),(157,1),(183,1),(184,1),(185,1),(205,1)}
       167:{2,5,7}:{(147,1),(148,1),(151,1),(185,1)}
       168:{4,7}:{(149,1),(158,1)}
       169:{3,5,7}:{(150,1),(152,1),(159,1),(184,1),(186,1),(187,1)}
       170:{3,6}:{(151,1),(153,1),(185,1)}
       171:{1,5,6}:{(152,1),(153,1),(187,1),(209,1)}
       172:{1,2,6}:{(154,1),(178,1),(181,1),(188,1)}
       173:{3,6}:{(155,1),(179,1),(182,1)}
       174:{2,4,6}:{(156,1),(158,1),(180,1),(183,1),(189,1),(190,1)}
       175:{2,5}:{(157,1),(159,1)}
       176:{4,5}:{(158,1),(159,1)}
       177:{2,3,4}:{(160,1),(191,1),(193,1)}
       178:{1,2,5}:{(160,1),(172,1),(191,1),(192,1)}
       179:{3,5}:{(161,1),(173,1),(193,1)}
       180:{2,4}:{(162,1),(193,1)}
       181:{1,2,7}:{(163,1),(172,1),(194,1)}
       182:{3,7}:{(164,1),(173,1)}
       183:{2,4,7}:{(165,1),(168,1),(174,1),(195,1)}
       184:{2,5,7}:{(166,1),(169,1),(175,1),(197,1)}
       185:{2,6}:{(167,1),(170,1)}
       186:{4,5,7}:{(168,1),(169,1),(176,1),(198,1)}
       187:{3,5,6}:{(169,1),(170,1),(171,1),(197,1),(198,1),(208,1)}
       188:{1,3,6}:{(172,1),(173,1),(192,1),(194,1),(199,1)}
       189:{3,4,6}:{(173,1),(174,1),(193,1),(195,1),(199,1),(200,1),(208,1)}
       190:{2,4,5}:{(174,1),(175,1),(176,1),(200,1)}
       191:{1,2,4}:{(177,1),(178,1),(201,1),(202,1)}
       192:{1,3,5}:{(178,1),(179,1),(188,1),(201,1),(202,1),(206,1)}
       193:{3,4}:{(179,1),(180,1),(202,1)}
       194:{1,3,7}:{(181,1),(182,1),(188,1),(203,1)}
       195:{3,4,7}:{(182,1),(183,1),(189,1),(203,1),(204,1)}
       196:{2,4,5,7}:{(183,1),(184,1),(186,1),(190,1),(204,1),(205,1)}
       197:{2,5,6}:{(184,1),(185,1),(187,1),(205,1)}
       198:{4,6}:{(186,1),(187,1)}
       199:{1,4,6}:{(188,1),(189,1),(202,1),(203,1),(206,1),(209,1)}
       200:{3,5}:{(189,1),(190,1),(206,1)}
       201:{1,3}:{(191,1)}
       202:{1,4}:{(192,1),(193,1)}
       203:{1,4,7}:{(194,1),(195,1),(199,1),(207,1)}
       204:{3,5,7}:{(195,1),(196,1),(200,1),(207,1),(208,1)}
       205:{2,4,6}:{(196,1),(197,1),(198,1),(208,1)}
       206:{1,5}:{(199,1),(200,1)}
       207:{1,5,7}:{(203,1),(204,1),(206,1),(209,1)}
       208:{3,6}:{(204,1),(205,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

 625 :   0:{2,5,6,7}:{(2,1),(4,1),(75,1),(82,1)}
         1:{2,3,4,7}:{(6,1),(7,1),(8,1),(86,1),(88,1),(144,1),(171,1),(184,1)}
         2:{3,5,6,7}:{(0,1),(9,1),(10,1),(16,1),(47,1),(51,1)}
         3:{3,4,5,7}:{(12,1),(13,1),(14,1),(20,1),(51,1),(57,1),(58,1),(98,1),(103,1),(162,1),(164,1)}
         4:{2,4,6,7}:{(0,1),(10,1),(15,1),(16,1)}
         5:{2,4,5,6}:{(11,1),(15,1),(17,1),(55,1),(63,1)}
         6:{2,3,5,7}:{(1,1),(14,1),(18,1),(19,1),(21,1),(57,1),(151,1),(154,1),(198,1)}
         7:{2,3,4,6}:{(1,1),(18,1),(21,1),(22,1),(63,1),(115,1),(121,1),(125,1),(169,1)}
         8:{1,2,4,7}:{(1,1),(19,1),(22,1),(23,1),(66,1),(188,1)}
         9:{1,5,6,7}:{(2,1),(24,1),(34,1),(81,1)}
        10:{4,6,7}:{(2,1),(27,1)}
        11:{4,5,6}:{(27,1),(29,1),(141,1)}
        12:{3,4,6}:{(3,1),(29,1),(30,1),(31,1),(85,1),(141,1)}
        13:{1,4,5,7}:{(3,1),(26,1),(30,1),(41,1),(81,1),(87,1),(126,1),(131,1)}
        14:{2,4,5,7}:{(3,1),(6,1),(31,1),(42,1),(82,1),(88,1),(127,1),(132,1)}
        15:{2,4,5,7}:{(4,1),(5,1),(27,1),(33,1),(82,1),(88,1)}
        16:{3,6,7}:{(4,1),(33,1),(34,1)}
        17:{3,5,6}:{(5,1),(33,1),(36,1),(37,1)}
        18:{2,3,6}:{(6,1),(31,1),(39,1),(85,1),(206,1)}
        19:{1,2,5,7}:{(6,1),(8,1),(39,1),(40,1),(43,1),(172,1),(175,1)}
        20:{3,4,5}:{(36,1),(41,1),(42,1),(96,1)}
        21:{2,3,5}:{(7,1),(42,1),(43,1),(96,1),(142,1),(187,1)}
        22:{1,2,4,6}:{(7,1),(8,1),(39,1),(43,1),(44,1),(94,1),(97,1)}
        23:{1,3,7}:{(8,1),(44,1),(144,1),(200,1)}
        24:{1,4,6,7}:{(9,1),(10,1),(46,1),(47,1)}
        25:{1,4,5,6}:{(11,1),(46,1),(48,1),(54,1),(107,1)}
        26:{1,3,5,7}:{(13,1),(45,1),(49,1),(50,1),(57,1),(67,1),(99,1),(116,1),(207,1)}
        27:{4,5,7}:{(10,1),(11,1),(51,1),(162,1)}
        28:{3,4,6,7}:{(10,1),(12,1),(16,1),(47,1),(51,1),(52,1),(53,1),(58,1),(103,1),(113,1),(162,1)}
        29:{3,5,6}:{(11,1),(12,1),(51,1),(54,1),(55,1)}
        30:{1,4,6}:{(12,1),(13,1),(49,1),(54,1)}
        31:{2,4,6}:{(12,1),(14,1),(18,1),(55,1)}
        32:{1,2,4,5,7}:{(13,1),(14,1),(19,1),(50,1),(56,1),(57,1),(66,1),(68,1),(111,1),(112,1),(117,1),(123,1),(152,1),(155,1),(161,1),(162,1),(164,1),(167,1),(193,1),(198,1),(207,1)}
        33:{3,5,7}:{(15,1),(16,1),(17,1),(58,1),(59,1)}
        34:{1,6,7}:{(16,1),(59,1)}
        35:{2,3,6,7}:{(16,1),(18,1),(53,1),(60,1),(61,1),(113,1),(154,1)}
        36:{3,4,6}:{(17,1),(20,1),(58,1),(62,1),(63,1),(121,1)}
        37:{1,5,6}:{(17,1),(59,1),(62,1)}
        38:{2,3,5,6}:{(17,1),(18,1),(21,1),(55,1),(60,1),(63,1),(64,1),(114,1),(121,1)}
        39:{1,2,6}:{(18,1),(19,1),(65,1)}
        40:{1,3,5,7}:{(19,1),(23,1),(57,1),(65,1),(66,1),(69,1),(123,1),(189,1),(191,1),(207,1)}
        41:{1,4,5}:{(20,1),(62,1),(67,1)}
        42:{2,4,5}:{(20,1),(21,1),(63,1),(164,1)}
        43:{1,2,5}:{(21,1),(22,1),(69,1),(123,1)}
        44:{1,3,6}:{(22,1),(23,1),(69,1),(121,1)}
        45:{1,3,4,7}:{(26,1),(70,1),(71,1),(72,1),(86,1),(131,1),(176,1),(202,1)}
        46:{1,4,5,7}:{(24,1),(25,1),(27,1),(73,1),(81,1),(131,1)}
        47:{3,6,7}:{(24,1),(73,1),(75,1)}
        48:{3,5,6}:{(25,1),(73,1),(76,1),(78,1)}
        49:{1,3,6}:{(26,1),(30,1),(79,1),(85,1),(209,1)}
        50:{1,2,5,7}:{(26,1),(71,1),(79,1),(80,1),(95,1),(128,1),(143,1)}
        51:{3,5,7}:{(27,1),(28,1),(29,1),(81,1),(82,1)}
        52:{1,4,6,7}:{(28,1),(30,1),(34,1),(74,1),(81,1),(87,1),(131,1)}
        53:{2,4,6,7}:{(28,1),(31,1),(35,1),(75,1),(82,1),(88,1),(132,1)}
        54:{1,5,6}:{(29,1),(30,1),(81,1)}
        55:{2,5,6}:{(29,1),(31,1),(82,1)}
        56:{1,2,4,6}:{(30,1),(31,1),(32,1),(39,1),(79,1),(84,1),(85,1),(94,1),(138,1),(141,1),(186,1),(204,1),(206,1),(209,1)}
        57:{3,5,7}:{(32,1),(85,1),(86,1),(96,1),(142,1),(144,1),(173,1),(176,1)}
        58:{3,4,7}:{(33,1),(36,1),(87,1),(88,1),(144,1)}
        59:{1,5,7}:{(33,1),(34,1),(37,1),(87,1)}
        60:{2,3,5,7}:{(33,1),(35,1),(38,1),(82,1),(88,1),(89,1),(139,1),(144,1)}
        61:{1,2,6,7}:{(34,1),(35,1),(39,1),(89,1),(90,1),(175,1),(206,1)}
        62:{1,4,6}:{(36,1),(37,1),(41,1),(87,1),(91,1)}
        63:{2,4,6}:{(36,1),(38,1),(42,1),(88,1),(141,1)}
        64:{1,2,5,6}:{(37,1),(38,1),(39,1),(43,1),(89,1),(92,1),(93,1),(187,1),(206,1)}
        65:{1,3,6}:{(39,1),(40,1),(85,1),(94,1),(209,1)}
        66:{1,4,7}:{(40,1),(86,1),(94,1),(97,1),(201,1)}
        67:{1,3,5}:{(41,1),(72,1),(91,1),(95,1),(96,1)}
        68:{1,2,4,5}:{(41,1),(42,1),(43,1),(92,1),(95,1),(96,1),(97,1),(149,1),(150,1),(187,1)}
        69:{1,3,5}:{(43,1),(44,1),(96,1),(97,1)}
        70:{1,3,4,6}:{(45,1),(49,1),(99,1),(100,1),(107,1),(115,1),(159,1),(190,1),(195,1)}
        71:{1,2,4,7}:{(45,1),(50,1),(100,1),(101,1),(102,1),(111,1)}
        72:{1,3,4}:{(67,1),(102,1),(125,1)}
        73:{3,5,7}:{(46,1),(47,1),(48,1),(103,1),(105,1)}
        74:{1,3,6,7}:{(47,1),(49,1),(52,1),(104,1),(106,1),(113,1),(116,1)}
        75:{2,6,7}:{(47,1),(105,1)}
        76:{3,4,6}:{(48,1),(98,1),(103,1),(107,1),(108,1),(159,1)}
        77:{1,3,5,6}:{(48,1),(49,1),(54,1),(99,1),(104,1),(107,1),(109,1),(114,1),(159,1)}
        78:{2,5,6}:{(48,1),(105,1),(108,1)}
        79:{1,2,6}:{(49,1),(50,1),(110,1)}
        80:{2,3,5,7}:{(50,1),(57,1),(101,1),(110,1),(111,1),(124,1),(153,1),(161,1),(165,1),(198,1)}
        81:{1,5,7}:{(51,1),(52,1),(54,1)}
        82:{2,5,7}:{(51,1),(53,1),(55,1)}
        83:{1,2,4,6,7}:{(52,1),(53,1),(56,1),(61,1),(106,1),(112,1),(113,1),(117,1),(119,1),(155,1),(157,1),(162,1)}
        84:{1,2,5,6}:{(54,1),(55,1),(56,1),(112,1),(114,1),(123,1),(161,1),(168,1),(194,1)}
        85:{3,6}:{(56,1),(57,1)}
        86:{3,4,7}:{(57,1),(66,1),(111,1),(115,1),(125,1),(162,1),(190,1)}
        87:{1,4,7}:{(58,1),(59,1),(62,1),(116,1)}
        88:{2,4,7}:{(58,1),(60,1),(63,1),(162,1)}
        89:{1,2,5,7}:{(59,1),(60,1),(61,1),(64,1),(117,1),(118,1),(198,1)}
        90:{1,3,6,7}:{(61,1),(65,1),(113,1),(118,1),(119,1),(191,1),(199,1)}
        91:{1,3,6}:{(62,1),(67,1),(116,1),(120,1),(121,1)}
        92:{1,2,4,6}:{(62,1),(63,1),(64,1),(68,1),(117,1),(120,1),(121,1),(122,1),(169,1)}
        93:{1,3,5,6}:{(64,1),(65,1),(69,1),(114,1),(118,1),(121,1),(122,1),(123,1),(168,1),(170,1),(199,1)}
        94:{1,4,6}:{(65,1),(66,1),(115,1),(123,1)}
        95:{1,2,5}:{(67,1),(102,1),(120,1),(124,1)}
        96:{3,5}:{(68,1),(121,1),(125,1)}
        97:{1,4}:{(69,1),(125,1)}
        98:{3,4,5}:{(76,1),(126,1),(127,1),(173,1)}
        99:{1,3,5}:{(70,1),(126,1),(128,1),(142,1),(173,1),(205,1)}
       100:{1,2,4,6}:{(70,1),(71,1),(79,1),(128,1),(129,1),(138,1),(174,1)}
       101:{2,3,7}:{(71,1),(129,1),(130,1),(176,1)}
       102:{1,2,4}:{(72,1),(95,1),(130,1),(150,1)}
       103:{3,4,7}:{(73,1),(76,1),(131,1),(132,1),(176,1)}
       104:{1,3,5,7}:{(73,1),(74,1),(77,1),(81,1),(131,1),(133,1),(139,1),(176,1)}
       105:{2,5,7}:{(73,1),(75,1),(78,1),(132,1)}
       106:{1,2,6,7}:{(74,1),(75,1),(79,1),(133,1),(134,1),(143,1),(209,1)}
       107:{1,4,6}:{(76,1),(77,1),(126,1),(131,1),(141,1)}
       108:{2,4,6}:{(76,1),(78,1),(127,1),(132,1),(135,1)}
       109:{1,2,5,6}:{(77,1),(78,1),(79,1),(128,1),(133,1),(136,1),(137,1),(205,1),(209,1)}
       110:{2,3,6}:{(79,1),(80,1),(85,1),(138,1),(206,1)}
       111:{2,4,7}:{(80,1),(86,1),(138,1),(150,1),(174,1)}
       112:{1,2,5,7}:{(81,1),(82,1),(83,1),(84,1),(139,1),(146,1),(178,1)}
       113:{3,6,7}:{(83,1),(85,1),(139,1),(144,1),(176,1)}
       114:{3,5,6}:{(84,1),(85,1),(139,1),(141,1),(142,1)}
       115:{3,4,6}:{(85,1),(86,1),(94,1),(138,1),(141,1),(142,1)}
       116:{1,3,7}:{(87,1),(91,1),(143,1),(144,1)}
       117:{1,2,4,7}:{(87,1),(88,1),(89,1),(92,1),(143,1),(144,1),(145,1),(184,1)}
       118:{1,3,5,7}:{(89,1),(90,1),(93,1),(139,1),(144,1),(145,1),(146,1),(185,1)}
       119:{1,4,6,7}:{(90,1),(94,1),(140,1),(145,1),(146,1),(186,1),(202,1),(209,1)}
       120:{1,2,6}:{(91,1),(95,1),(143,1),(147,1)}
       121:{3,6}:{(92,1),(96,1),(144,1)}
       122:{1,4,6}:{(93,1),(97,1),(141,1),(145,1),(148,1),(149,1)}
       123:{1,5}:{(94,1),(142,1)}
       124:{2,3,5}:{(95,1),(96,1),(130,1),(147,1),(150,1),(187,1)}
       125:{3,4}:{(96,1),(97,1),(150,1)}
       126:{1,4,5}:{(98,1),(99,1),(107,1),(164,1)}
       127:{2,4,5}:{(98,1),(108,1),(151,1)}
       128:{1,2,5}:{(99,1),(100,1),(153,1),(161,1)}
       129:{2,3,6}:{(100,1),(101,1),(153,1),(159,1)}
       130:{2,3}:{(102,1)}
       131:{1,4,7}:{(103,1),(104,1),(107,1),(162,1)}
       132:{2,4,7}:{(103,1),(105,1),(108,1),(154,1)}
       133:{1,2,5,7}:{(104,1),(105,1),(106,1),(109,1),(155,1),(156,1),(207,1)}
       134:{2,3,6,7}:{(106,1),(110,1),(113,1),(156,1),(157,1),(165,1),(208,1)}
       135:{2,3,6}:{(108,1),(151,1),(154,1),(158,1),(159,1)}
       136:{1,2,4,6}:{(107,1),(108,1),(109,1),(152,1),(155,1),(158,1),(159,1),(160,1),(195,1)}
       137:{2,3,5,6}:{(109,1),(110,1),(114,1),(153,1),(156,1),(159,1),(160,1),(161,1),(194,1),(196,1),(208,1)}
       138:{2,4,6}:{(110,1),(111,1),(115,1),(161,1)}
       139:{3,5,7}:{(112,1),(113,1),(114,1),(162,1)}
       140:{3,4,6,7}:{(113,1),(115,1),(119,1),(157,1),(162,1),(163,1),(166,1),(192,1),(197,1),(199,1),(208,1)}
       141:{4,6}:{(114,1),(162,1),(164,1)}
       142:{3,5}:{(115,1),(123,1),(161,1),(164,1)}
       143:{1,2,7}:{(116,1),(120,1),(165,1)}
       144:{3,7}:{(117,1),(121,1)}
       145:{1,4,7}:{(118,1),(122,1),(162,1),(166,1)}
       146:{1,5,7}:{(119,1),(123,1),(163,1),(168,1)}
       147:{2,3,6}:{(120,1),(121,1),(124,1),(165,1),(169,1)}
       148:{3,4,6}:{(121,1),(122,1),(125,1),(166,1),(169,1),(170,1),(199,1)}
       149:{1,4,5}:{(122,1),(123,1),(164,1),(170,1)}
       150:{2,4}:{(124,1),(125,1)}
       151:{2,3,5}:{(127,1),(135,1),(171,1),(172,1),(173,1)}
       152:{1,2,4,5}:{(126,1),(127,1),(128,1),(136,1),(172,1),(173,1),(174,1),(181,1),(201,1),(205,1)}
       153:{2,3,5}:{(128,1),(129,1),(173,1),(174,1)}
       154:{2,3,7}:{(132,1),(135,1),(175,1),(176,1)}
       155:{1,2,4,7}:{(131,1),(132,1),(133,1),(136,1),(175,1),(176,1),(177,1),(202,1)}
       156:{2,3,5,7}:{(133,1),(134,1),(137,1),(139,1),(176,1),(177,1),(178,1),(203,1)}
       157:{2,4,6,7}:{(134,1),(138,1),(140,1),(177,1),(178,1),(184,1),(204,1),(206,1)}
       158:{1,2,6}:{(135,1),(172,1),(175,1),(179,1)}
       159:{3,6}:{(136,1),(173,1),(176,1)}
       160:{2,4,6}:{(137,1),(141,1),(174,1),(177,1),(180,1),(181,1)}
       161:{2,5}:{(138,1),(142,1)}
       162:{4,7}:{(139,1),(141,1)}
       163:{3,5,7}:{(140,1),(142,1),(146,1),(178,1),(182,1),(183,1)}
       164:{4,5}:{(141,1),(142,1)}
       165:{2,3,7}:{(143,1),(144,1),(147,1),(184,1)}
       166:{3,4,7}:{(144,1),(145,1),(148,1),(184,1),(185,1)}
       167:{1,4,5,7}:{(145,1),(146,1),(149,1),(182,1),(185,1),(186,1)}
       168:{1,5,6}:{(146,1),(183,1),(186,1),(209,1)}
       169:{2,4,6}:{(147,1),(148,1),(150,1),(184,1),(187,1),(206,1)}
       170:{3,5}:{(148,1),(149,1),(187,1)}
       171:{2,3,4}:{(151,1),(188,1),(190,1)}
       172:{1,2,5}:{(151,1),(158,1),(188,1),(189,1)}
       173:{3,5}:{(152,1),(159,1),(190,1)}
       174:{2,4}:{(153,1),(190,1)}
       175:{1,2,7}:{(154,1),(158,1),(191,1)}
       176:{3,7}:{(155,1),(159,1)}
       177:{2,4,7}:{(156,1),(160,1),(162,1),(192,1)}
       178:{2,5,7}:{(157,1),(161,1),(163,1),(194,1)}
       179:{1,3,6}:{(158,1),(159,1),(189,1),(191,1),(195,1)}
       180:{3,4,6}:{(159,1),(160,1),(190,1),(192,1),(195,1),(196,1),(208,1)}
       181:{2,4,5}:{(160,1),(161,1),(164,1),(196,1)}
       182:{4,5,7}:{(162,1),(163,1),(164,1),(197,1)}
       183:{3,5,6}:{(163,1),(168,1),(194,1),(197,1),(199,1),(208,1)}
       184:{2,4,7}:{(165,1),(166,1),(169,1),(198,1)}
       185:{3,5,7}:{(166,1),(167,1),(170,1),(198,1),(199,1)}
       186:{1,4,6}:{(167,1),(168,1),(197,1),(199,1)}
       187:{2,5}:{(169,1),(170,1)}
       188:{1,2,4}:{(171,1),(172,1),(200,1),(201,1)}
       189:{1,3,5}:{(172,1),(173,1),(179,1),(200,1),(201,1),(205,1)}
       190:{3,4}:{(173,1),(174,1),(201,1)}
       191:{1,3,7}:{(175,1),(176,1),(179,1),(202,1)}
       192:{3,4,7}:{(176,1),(177,1),(180,1),(202,1),(203,1)}
       193:{2,4,5,7}:{(177,1),(178,1),(181,1),(182,1),(203,1),(204,1)}
       194:{2,5,6}:{(178,1),(183,1),(204,1),(206,1)}
       195:{1,4,6}:{(179,1),(180,1),(201,1),(202,1),(205,1),(209,1)}
       196:{3,5}:{(180,1),(181,1),(205,1)}
       197:{4,6}:{(182,1),(183,1)}
       198:{2,5,7}:{(184,1),(185,1),(187,1),(206,1)}
       199:{3,6}:{(185,1),(186,1),(206,1)}
       200:{1,3}:{(188,1)}
       201:{1,4}:{(189,1),(190,1)}
       202:{1,4,7}:{(191,1),(192,1),(195,1),(207,1)}
       203:{3,5,7}:{(192,1),(193,1),(196,1),(207,1),(208,1)}
       204:{2,4,6}:{(193,1),(194,1),(197,1),(208,1)}
       205:{1,5}:{(195,1),(196,1)}
       206:{2,6}:{(198,1),(199,1)}
       207:{1,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       208:{3,6}:{(203,1),(204,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

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

 627 :  0:{1,2,6,7}:{(3,1),(5,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(38,1),(39,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(17,1),(20,1),(21,1),(25,1),(38,1),(39,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{3,5,6}:{(1,1),(9,1),(10,1),(13,1),(26,1),(28,1),(45,1)}
        5:{1,2,5,7}:{(0,1),(1,1),(9,1),(12,1),(46,1),(47,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(30,1),(31,1),(35,1)}
        7:{3,5}:{(2,1),(11,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(18,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(18,1),(22,1)}
       10:{4,6}:{(4,1),(17,1),(18,1)}
       11:{3,4}:{(7,1),(20,1),(21,1),(43,1)}
       12:{1,2,4,7}:{(5,1),(6,1),(18,1),(22,1),(40,1),(41,1),(44,1)}
       13:{3,6}:{(6,1),(7,1),(22,1)}
       14:{1,3,5}:{(7,1),(20,1),(23,1),(25,1),(38,1),(43,1),(54,1)}
       15:{2,3,5}:{(7,1),(21,1),(24,1),(25,1),(39,1),(43,1),(54,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,5}:{(10,1),(28,1),(58,1)}
       18:{4,7}:{(9,1),(10,1)}
       19:{3,4,6}:{(10,1),(11,1),(13,1),(28,1),(29,1),(30,1),(31,1),(45,1),(50,1),(58,1),(61,1)}
       20:{1,4}:{(11,1),(14,1),(58,1)}
       21:{2,4}:{(11,1),(15,1),(58,1)}
       22:{3,7}:{(12,1),(13,1)}
       23:{1,3,6}:{(13,1),(14,1),(30,1),(33,1),(35,1),(50,1)}
       24:{2,3,6}:{(13,1),(15,1),(31,1),(34,1),(35,1),(50,1)}
       25:{1,2,5}:{(14,1),(15,1),(32,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(18,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,5}:{(17,1),(19,1),(38,1),(39,1),(62,1)}
       29:{3,4,7}:{(18,1),(19,1),(22,1),(37,1),(40,1),(41,1),(55,1),(60,1)}
       30:{1,4,6}:{(19,1),(20,1),(23,1),(38,1),(40,1),(51,1)}
       31:{2,4,6}:{(19,1),(21,1),(24,1),(39,1),(41,1),(52,1)}
       32:{1,2,4}:{(20,1),(21,1),(25,1),(43,1)}
       33:{1,3,7}:{(22,1),(23,1),(40,1),(44,1),(55,1)}
       34:{2,3,7}:{(22,1),(24,1),(41,1),(44,1),(55,1)}
       35:{1,2,6}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(45,1),(46,1),(47,1)}
       38:{1,5}:{(28,1),(30,1)}
       39:{2,5}:{(28,1),(31,1)}
       40:{1,4,7}:{(29,1),(30,1),(33,1),(46,1)}
       41:{2,4,7}:{(29,1),(31,1),(34,1),(47,1)}
       42:{1,2,4,6}:{(30,1),(31,1),(32,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       43:{3}:{(32,1)}
       44:{1,2,7}:{(33,1),(34,1),(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(40,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(41,1),(52,1)}
       48:{1,2,5}:{(38,1),(39,1),(42,1),(54,1),(62,1)}
       49:{1,2,4,7}:{(40,1),(41,1),(42,1),(44,1),(53,1),(55,1),(60,1)}
       50:{3,6}:{(42,1),(43,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,5}:{(48,1),(50,1),(58,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(54,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 628 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(13,1),(14,1),(35,1),(36,1),(37,1),(41,1),(65,1),(66,1),(68,1),(71,1),(99,1),(100,1)}
         1:{3,5,7}:{(0,1),(3,1),(7,1),(22,1),(85,1),(88,1)}
         2:{1,2,4,6}:{(0,1),(7,1),(8,1),(20,1),(21,1),(26,1),(29,1),(78,1),(79,1),(109,1),(110,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(11,1),(33,1),(41,1),(101,1)}
         4:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(30,1),(31,1),(38,1),(41,1),(71,1),(134,1)}
         5:{1,3,5,7}:{(1,1),(9,1),(14,1),(15,1),(33,1),(35,1),(67,1),(100,1),(102,1),(104,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(14,1),(16,1),(33,1),(36,1),(67,1),(99,1),(103,1),(105,1)}
         7:{3,6}:{(1,1),(2,1)}
         8:{1,2,5,6}:{(2,1),(13,1),(17,1),(35,1),(36,1),(60,1),(61,1)}
         9:{1,4,7}:{(3,1),(5,1),(20,1),(84,1),(114,1)}
        10:{2,4,7}:{(3,1),(6,1),(21,1),(84,1),(115,1)}
        11:{3,4,6}:{(3,1),(7,1),(20,1),(21,1),(22,1),(29,1),(50,1),(84,1)}
        12:{3,6,7}:{(4,1),(7,1),(25,1),(88,1),(137,1)}
        13:{1,2,5,7}:{(4,1),(8,1),(25,1),(47,1),(48,1),(136,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(19,1),(26,1),(51,1),(116,1),(117,1)}
        15:{1,3,6}:{(5,1),(7,1),(20,1),(26,1),(50,1),(110,1)}
        16:{2,3,6}:{(6,1),(7,1),(21,1),(26,1),(50,1),(109,1)}
        17:{3,5,6}:{(7,1),(8,1),(22,1),(25,1),(29,1)}
        18:{3,4,6,7}:{(11,1),(12,1),(30,1),(31,1),(32,1),(41,1),(62,1),(63,1),(72,1),(73,1),(95,1),(96,1),(97,1),(119,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(14,1),(33,1),(34,1),(125,1)}
        20:{1,4,6}:{(9,1),(11,1),(15,1),(35,1)}
        21:{2,4,6}:{(10,1),(11,1),(16,1),(36,1)}
        22:{3,5}:{(11,1),(35,1),(36,1),(37,1)}
        23:{1,3,6,7}:{(12,1),(15,1),(30,1),(38,1),(39,1),(63,1),(95,1),(104,1),(120,1)}
        24:{2,3,6,7}:{(12,1),(16,1),(31,1),(38,1),(40,1),(63,1),(96,1),(105,1),(121,1)}
        25:{3,5,7}:{(12,1),(13,1),(17,1),(41,1),(138,1)}
        26:{1,2,6}:{(14,1),(15,1),(16,1)}
        27:{1,3,5,6}:{(15,1),(17,1),(35,1),(39,1),(42,1),(43,1),(60,1),(67,1),(69,1),(74,1),(93,1),(95,1),(102,1),(120,1),(132,1),(138,1)}
        28:{2,3,5,6}:{(16,1),(17,1),(36,1),(40,1),(42,1),(44,1),(61,1),(67,1),(70,1),(74,1),(93,1),(96,1),(103,1),(121,1),(133,1),(138,1)}
        29:{4,6}:{(17,1),(37,1),(41,1)}
        30:{1,4,6,7}:{(18,1),(20,1),(23,1),(47,1),(55,1),(78,1),(90,1),(110,1),(127,1)}
        31:{2,4,6,7}:{(18,1),(21,1),(24,1),(48,1),(56,1),(79,1),(89,1),(109,1),(128,1)}
        32:{3,5,7}:{(18,1),(22,1),(45,1),(47,1),(48,1),(49,1),(126,1)}
        33:{3,7}:{(19,1),(50,1),(131,1)}
        34:{1,2,4,6}:{(19,1),(20,1),(21,1),(26,1),(50,1),(51,1),(84,1)}
        35:{1,5}:{(20,1),(22,1)}
        36:{2,5}:{(21,1),(22,1)}
        37:{4,5}:{(22,1),(29,1),(84,1)}
        38:{1,2,6,7}:{(23,1),(24,1),(26,1),(54,1),(109,1),(110,1),(117,1),(129,1)}
        39:{1,3,5,7}:{(23,1),(25,1),(27,1),(47,1),(54,1),(55,1),(80,1),(82,1),(88,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(28,1),(48,1),(54,1),(56,1),(80,1),(83,1),(88,1)}
        41:{4,7}:{(25,1),(29,1),(139,1)}
        42:{1,2,5,6}:{(26,1),(27,1),(28,1),(51,1),(54,1),(57,1),(86,1),(87,1),(109,1),(110,1),(116,1),(129,1),(136,1)}
        43:{1,4,6}:{(27,1),(29,1),(52,1),(55,1),(58,1),(84,1),(107,1),(114,1),(139,1)}
        44:{2,4,6}:{(28,1),(29,1),(53,1),(56,1),(59,1),(84,1),(107,1),(115,1),(139,1)}
        45:{3,5,6}:{(32,1),(60,1),(61,1),(62,1),(95,1),(96,1)}
        46:{1,2,4,6,7}:{(30,1),(31,1),(34,1),(38,1),(63,1),(64,1),(71,1),(94,1),(97,1)}
        47:{1,5,7}:{(30,1),(32,1),(35,1),(60,1),(132,1)}
        48:{2,5,7}:{(31,1),(32,1),(36,1),(61,1),(133,1)}
        49:{4,5,7}:{(32,1),(37,1),(41,1),(62,1),(97,1),(118,1)}
        50:{3,6}:{(33,1),(34,1),(67,1)}
        51:{1,2,5}:{(34,1),(35,1),(36,1),(67,1)}
        52:{1,4,5}:{(35,1),(37,1),(43,1),(69,1),(118,1),(132,1)}
        53:{2,4,5}:{(36,1),(37,1),(44,1),(70,1),(118,1),(133,1)}
        54:{1,2,5,7}:{(38,1),(39,1),(40,1),(42,1),(71,1),(99,1),(100,1)}
        55:{1,4,7}:{(39,1),(41,1),(43,1),(72,1),(97,1)}
        56:{2,4,7}:{(40,1),(41,1),(44,1),(73,1),(97,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(44,1),(68,1),(71,1),(74,1),(75,1),(76,1),(106,1),(125,1)}
        58:{3,4,6}:{(43,1),(69,1),(72,1),(74,1),(75,1),(95,1),(101,1)}
        59:{3,4,6}:{(44,1),(70,1),(73,1),(74,1),(76,1),(96,1),(101,1)}
        60:{1,5,6}:{(45,1),(47,1),(78,1),(110,1)}
        61:{2,5,6}:{(45,1),(48,1),(79,1),(109,1)}
        62:{4,6}:{(45,1),(49,1)}
        63:{3,6,7}:{(46,1),(50,1),(80,1),(88,1),(108,1)}
        64:{1,2,5,7}:{(46,1),(47,1),(48,1),(51,1),(77,1),(80,1)}
        65:{1,4,5,7}:{(47,1),(49,1),(52,1),(55,1),(78,1),(82,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(53,1),(56,1),(79,1),(83,1)}
        67:{3,5}:{(50,1),(51,1),(84,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(53,1),(57,1),(84,1),(85,1),(86,1),(87,1),(114,1),(115,1),(116,1),(136,1),(139,1)}
        69:{3,5}:{(52,1),(58,1),(86,1)}
        70:{3,5}:{(53,1),(59,1),(87,1)}
        71:{1,2,4,7}:{(54,1),(55,1),(56,1),(57,1),(88,1),(89,1),(90,1),(117,1)}
        72:{3,4,7}:{(55,1),(58,1),(82,1),(88,1),(89,1)}
        73:{3,4,7}:{(56,1),(59,1),(83,1),(88,1),(90,1)}
        74:{3,6}:{(57,1),(85,1),(88,1),(131,1)}
        75:{2,4,6}:{(58,1),(86,1),(89,1),(92,1),(109,1),(115,1)}
        76:{1,4,6}:{(59,1),(87,1),(90,1),(91,1),(110,1),(114,1)}
        77:{1,2,5,6}:{(60,1),(61,1),(64,1),(93,1),(94,1),(132,1),(133,1)}
        78:{1,4,6}:{(60,1),(62,1),(65,1),(95,1)}
        79:{2,4,6}:{(61,1),(62,1),(66,1),(96,1)}
        80:{3,5,7}:{(63,1),(64,1),(67,1),(93,1),(97,1)}
        81:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(68,1),(71,1),(94,1),(97,1),(98,1),(99,1),(100,1),(118,1),(122,1),(123,1),(124,1),(132,1),(133,1)}
        82:{3,5,7}:{(65,1),(69,1),(72,1),(95,1),(99,1)}
        83:{3,5,7}:{(66,1),(70,1),(73,1),(96,1),(100,1)}
        84:{4}:{(67,1)}
        85:{3,5}:{(68,1),(74,1),(101,1)}
        86:{2,5}:{(69,1),(75,1)}
        87:{1,5}:{(70,1),(76,1)}
        88:{3,7}:{(71,1),(74,1)}
        89:{2,4,7}:{(72,1),(75,1),(99,1),(105,1)}
        90:{1,4,7}:{(73,1),(76,1),(100,1),(104,1)}
        91:{1,3,6}:{(74,1),(76,1),(102,1),(104,1),(106,1)}
        92:{2,3,6}:{(74,1),(75,1),(103,1),(105,1),(106,1)}
        93:{3,5,6}:{(77,1),(80,1),(107,1),(108,1),(126,1)}
        94:{1,2,4,6}:{(77,1),(78,1),(79,1),(81,1),(107,1),(108,1),(109,1),(110,1),(127,1),(128,1),(129,1)}
        95:{3,6}:{(78,1),(82,1),(109,1)}
        96:{3,6}:{(79,1),(83,1),(110,1)}
        97:{4,7}:{(80,1),(84,1),(107,1)}
        98:{3,5,7}:{(81,1),(85,1),(88,1),(108,1),(111,1),(126,1)}
        99:{2,5,7}:{(82,1),(86,1),(89,1),(109,1)}
       100:{1,5,7}:{(83,1),(87,1),(90,1),(110,1)}
       101:{3,4}:{(84,1),(85,1),(114,1),(115,1),(131,1),(139,1)}
       102:{1,3,5}:{(85,1),(87,1),(91,1),(114,1),(116,1),(131,1)}
       103:{2,3,5}:{(85,1),(86,1),(92,1),(115,1),(116,1),(131,1)}
       104:{1,3,7}:{(88,1),(90,1),(91,1),(117,1)}
       105:{2,3,7}:{(88,1),(89,1),(92,1),(117,1)}
       106:{1,2,6}:{(91,1),(92,1),(116,1),(117,1)}
       107:{4,6}:{(93,1),(97,1),(118,1)}
       108:{3,6}:{(94,1),(98,1)}
       109:{2,6}:{(95,1),(99,1)}
       110:{1,6}:{(96,1),(100,1)}
       111:{3,4,7}:{(97,1),(98,1),(101,1),(119,1),(122,1),(123,1),(135,1)}
       112:{1,3,5,7}:{(98,1),(100,1),(102,1),(104,1),(120,1),(122,1),(124,1),(132,1),(135,1),(138,1)}
       113:{2,3,5,7}:{(98,1),(99,1),(103,1),(105,1),(121,1),(123,1),(124,1),(133,1),(135,1),(138,1)}
       114:{1,4}:{(101,1),(102,1)}
       115:{2,4}:{(101,1),(103,1)}
       116:{1,2,5}:{(102,1),(103,1),(106,1),(125,1)}
       117:{1,2,7}:{(104,1),(105,1),(106,1)}
       118:{4,5}:{(107,1),(126,1),(139,1)}
       119:{3,4,6}:{(107,1),(108,1),(111,1),(126,1),(127,1),(128,1),(137,1),(139,1)}
       120:{1,3,6}:{(108,1),(110,1),(112,1),(127,1),(129,1),(137,1)}
       121:{2,3,6}:{(108,1),(109,1),(113,1),(128,1),(129,1),(137,1)}
       122:{1,4,7}:{(111,1),(112,1),(114,1),(127,1),(139,1)}
       123:{2,4,7}:{(111,1),(113,1),(115,1),(128,1),(139,1)}
       124:{1,2,5,7}:{(112,1),(113,1),(116,1),(117,1),(129,1),(130,1),(136,1)}
       125:{1,2,4}:{(114,1),(115,1),(116,1),(131,1)}
       126:{3,5}:{(118,1),(119,1),(132,1),(133,1)}
       127:{1,4,6}:{(119,1),(120,1),(122,1),(132,1)}
       128:{2,4,6}:{(119,1),(121,1),(123,1),(133,1)}
       129:{1,2,6}:{(120,1),(121,1),(124,1)}
       130:{1,2,4,7}:{(122,1),(123,1),(124,1),(125,1),(134,1),(135,1)}
       131:{3}:{(125,1)}
       132:{1,5}:{(126,1),(127,1)}
       133:{2,5}:{(126,1),(128,1)}
       134:{1,2,4,6}:{(127,1),(128,1),(129,1),(130,1),(136,1),(137,1),(139,1)}
       135:{3,7}:{(130,1),(131,1),(137,1)}
       136:{1,2,5}:{(132,1),(133,1),(134,1),(138,1)}
       137:{3,6}:{(134,1),(135,1),(138,1)}
       138:{3,5}:{(136,1),(137,1),(139,1)}
       139:{4}:{(138,1)}

 629 :   0:{1,4,5,6}:{(2,1),(3,1),(20,1),(78,1),(80,1)}
         1:{1,3,4,6}:{(5,1),(6,1),(7,1),(20,1),(35,1),(60,1),(75,1),(108,1),(127,1)}
         2:{3,5,6}:{(0,1),(8,1),(10,1),(11,1)}
         3:{1,4,5,7}:{(0,1),(11,1),(12,1),(39,1),(89,1),(91,1)}
         4:{3,4,5}:{(8,1),(13,1),(14,1),(50,1)}
         5:{1,3,5}:{(1,1),(13,1),(16,1),(50,1),(131,1),(150,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(19,1),(55,1),(57,1),(107,1)}
         7:{1,3,4,7}:{(1,1),(17,1),(19,1),(39,1),(87,1),(103,1),(132,1),(201,1)}
         8:{3,4,6}:{(2,1),(4,1),(20,1),(21,1),(22,1),(60,1)}
         9:{1,3,5,6}:{(2,1),(5,1),(20,1),(23,1),(24,1),(35,1),(60,1),(78,1),(128,1)}
        10:{2,5,6}:{(2,1),(21,1),(25,1)}
        11:{3,5,7}:{(2,1),(3,1),(22,1),(25,1),(26,1)}
        12:{1,4,6,7}:{(3,1),(26,1),(27,1),(69,1)}
        13:{1,4,5}:{(4,1),(5,1),(20,1),(170,1)}
        14:{2,4,5}:{(4,1),(21,1),(28,1)}
        15:{3,4,5,7}:{(4,1),(22,1),(30,1),(31,1),(32,1),(64,1),(76,1),(157,1),(160,1),(165,1),(170,1)}
        16:{1,2,5}:{(5,1),(6,1),(33,1),(130,1)}
        17:{1,3,5,7}:{(5,1),(7,1),(30,1),(34,1),(35,1),(76,1),(153,1),(188,1),(192,1)}
        18:{2,3,6}:{(6,1),(33,1),(36,1),(60,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(34,1),(36,1),(81,1),(207,1)}
        20:{1,4,6}:{(8,1),(9,1),(13,1),(39,1),(151,1)}
        21:{2,4,6}:{(8,1),(10,1),(14,1),(37,1),(40,1)}
        22:{3,4,7}:{(8,1),(11,1),(39,1),(40,1),(87,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(16,1),(38,1),(42,1),(43,1),(57,1),(131,1),(171,1)}
        24:{1,3,5,7}:{(9,1),(11,1),(39,1),(43,1),(44,1),(87,1),(89,1),(138,1)}
        25:{2,5,7}:{(10,1),(11,1),(40,1),(45,1)}
        26:{3,6,7}:{(11,1),(12,1),(45,1)}
        27:{1,5,6,7}:{(12,1),(46,1),(89,1),(142,1)}
        28:{2,3,5}:{(14,1),(37,1),(47,1),(48,1),(50,1)}
        29:{1,2,4,5}:{(13,1),(14,1),(16,1),(38,1),(48,1),(50,1),(55,1),(92,1),(99,1),(131,1)}
        30:{1,4,5,7}:{(13,1),(15,1),(17,1),(39,1),(52,1),(89,1),(175,1),(180,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(40,1),(49,1),(53,1),(90,1),(135,1),(145,1)}
        32:{3,4,6}:{(15,1),(52,1),(53,1),(54,1),(104,1),(151,1)}
        33:{2,3,5}:{(16,1),(18,1),(50,1),(55,1)}
        34:{1,2,5,7}:{(16,1),(17,1),(19,1),(56,1),(57,1),(200,1),(203,1)}
        35:{1,3,6}:{(17,1),(52,1),(57,1),(104,1),(171,1)}
        36:{2,3,7}:{(18,1),(19,1),(87,1),(209,1)}
        37:{2,3,6}:{(21,1),(28,1),(58,1),(59,1),(60,1)}
        38:{1,2,4,6}:{(20,1),(21,1),(23,1),(29,1),(58,1),(60,1),(61,1),(65,1),(108,1)}
        39:{1,4,7}:{(20,1),(22,1),(24,1),(160,1)}
        40:{2,4,7}:{(21,1),(22,1),(25,1),(59,1)}
        41:{3,4,6,7}:{(22,1),(26,1),(32,1),(62,1),(63,1),(64,1),(69,1),(114,1),(119,1),(157,1),(160,1)}
        42:{2,3,5,6}:{(23,1),(33,1),(60,1),(65,1),(66,1),(82,1),(112,1),(128,1),(130,1),(158,1),(162,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(25,1),(61,1),(66,1),(67,1),(153,1)}
        44:{1,3,6,7}:{(24,1),(26,1),(35,1),(62,1),(67,1),(114,1),(188,1)}
        45:{2,6,7}:{(25,1),(26,1)}
        46:{3,5,6,7}:{(26,1),(27,1),(64,1),(68,1),(69,1),(119,1)}
        47:{2,3,4}:{(28,1),(70,1),(75,1)}
        48:{1,2,5}:{(28,1),(58,1),(70,1),(72,1)}
        49:{2,3,5,7}:{(28,1),(31,1),(59,1),(71,1),(73,1),(74,1),(76,1),(122,1),(206,1)}
        50:{3,5}:{(29,1),(60,1),(75,1)}
        51:{1,2,4,5,7}:{(29,1),(30,1),(31,1),(34,1),(61,1),(73,1),(76,1),(77,1),(81,1),(115,1),(117,1),(123,1),(130,1),(153,1),(156,1),(160,1),(164,1),(166,1),(170,1),(186,1),(206,1)}
        52:{1,4,6}:{(30,1),(32,1),(35,1),(78,1)}
        53:{2,4,6}:{(31,1),(32,1),(74,1),(79,1)}
        54:{3,5,6}:{(32,1),(64,1),(78,1),(79,1),(80,1)}
        55:{2,4}:{(33,1),(75,1)}
        56:{2,3,5,7}:{(33,1),(34,1),(36,1),(76,1),(81,1),(82,1),(130,1),(189,1),(193,1),(206,1)}
        57:{1,2,6}:{(34,1),(35,1),(82,1)}
        58:{1,2,6}:{(37,1),(48,1),(83,1),(84,1)}
        59:{2,3,7}:{(37,1),(40,1),(84,1),(87,1)}
        60:{3,6}:{(38,1),(50,1),(87,1)}
        61:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(84,1),(87,1),(93,1),(132,1)}
        62:{1,4,6,7}:{(39,1),(41,1),(44,1),(52,1),(89,1),(142,1),(175,1)}
        63:{2,4,6,7}:{(40,1),(41,1),(45,1),(53,1),(85,1),(90,1),(135,1)}
        64:{3,5,7}:{(41,1),(54,1),(89,1),(90,1),(91,1)}
        65:{2,4,6}:{(42,1),(55,1),(86,1),(92,1),(93,1),(151,1)}
        66:{2,3,5,7}:{(42,1),(43,1),(87,1),(93,1),(94,1),(136,1),(138,1),(141,1)}
        67:{1,2,6,7}:{(43,1),(44,1),(45,1),(57,1),(94,1),(171,1),(200,1)}
        68:{2,5,6,7}:{(45,1),(46,1),(90,1),(95,1)}
        69:{4,6,7}:{(46,1),(91,1)}
        70:{1,2,4}:{(47,1),(48,1),(96,1),(99,1)}
        71:{2,3,4,7}:{(47,1),(49,1),(97,1),(98,1),(103,1),(135,1),(174,1),(199,1)}
        72:{1,3,5}:{(48,1),(50,1),(83,1),(96,1),(99,1),(131,1)}
        73:{1,2,5,7}:{(48,1),(49,1),(84,1),(97,1),(100,1),(101,1),(144,1)}
        74:{2,3,6}:{(49,1),(53,1),(101,1),(104,1),(208,1)}
        75:{3,4}:{(50,1),(55,1),(99,1)}
        76:{3,5,7}:{(50,1),(51,1),(87,1),(103,1),(104,1),(150,1),(174,1),(179,1)}
        77:{1,2,4,6}:{(51,1),(52,1),(53,1),(57,1),(101,1),(104,1),(105,1),(107,1),(140,1),(146,1),(151,1),(171,1),(197,1),(208,1)}
        78:{1,5,6}:{(52,1),(54,1),(89,1)}
        79:{2,5,6}:{(53,1),(54,1),(90,1)}
        80:{4,5,6}:{(54,1),(91,1),(151,1)}
        81:{2,4,7}:{(55,1),(56,1),(103,1),(107,1),(202,1)}
        82:{2,3,6}:{(56,1),(57,1),(104,1),(107,1),(208,1)}
        83:{1,3,6}:{(58,1),(60,1),(72,1),(108,1),(109,1)}
        84:{1,2,7}:{(58,1),(59,1),(109,1)}
        85:{2,3,6,7}:{(59,1),(63,1),(74,1),(110,1),(111,1),(114,1),(119,1)}
        86:{3,4,6}:{(60,1),(65,1),(75,1),(108,1),(112,1),(113,1),(158,1)}
        87:{3,7}:{(60,1),(61,1)}
        88:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(67,1),(77,1),(110,1),(114,1),(115,1),(118,1),(154,1),(156,1),(160,1)}
        89:{1,5,7}:{(62,1),(64,1),(78,1)}
        90:{2,5,7}:{(63,1),(64,1),(79,1)}
        91:{4,5,7}:{(64,1),(69,1),(80,1),(160,1)}
        92:{2,4,5}:{(65,1),(112,1),(130,1),(170,1)}
        93:{2,4,7}:{(65,1),(66,1),(113,1),(160,1)}
        94:{2,3,6,7}:{(66,1),(67,1),(82,1),(114,1),(118,1),(158,1),(189,1)}
        95:{2,4,6,7}:{(68,1),(69,1),(116,1),(119,1)}
        96:{1,3}:{(70,1)}
        97:{1,2,4,7}:{(70,1),(71,1),(73,1),(120,1),(121,1),(123,1)}
        98:{2,3,4,6}:{(71,1),(74,1),(121,1),(122,1),(126,1),(127,1),(168,1),(191,1),(195,1)}
        99:{1,4}:{(72,1),(75,1)}
       100:{1,3,5,7}:{(72,1),(73,1),(76,1),(109,1),(120,1),(123,1),(124,1),(153,1),(163,1),(166,1)}
       101:{1,2,6}:{(73,1),(74,1),(124,1)}
       102:{2,3,5,6}:{(74,1),(79,1),(111,1),(122,1),(125,1),(126,1),(128,1),(129,1),(168,1)}
       103:{3,4,7}:{(75,1),(76,1),(81,1),(123,1),(127,1),(160,1),(191,1)}
       104:{3,6}:{(76,1),(77,1)}
       105:{1,2,5,6}:{(77,1),(78,1),(79,1),(115,1),(128,1),(130,1),(162,1),(166,1),(185,1)}
       106:{2,4,5,6}:{(79,1),(80,1),(116,1),(126,1),(129,1)}
       107:{2,4,6}:{(81,1),(82,1),(127,1),(130,1)}
       108:{1,4,6}:{(83,1),(86,1),(99,1),(131,1),(132,1),(171,1)}
       109:{1,3,7}:{(83,1),(84,1),(87,1),(132,1)}
       110:{1,2,6,7}:{(84,1),(85,1),(101,1),(133,1),(134,1),(142,1),(208,1)}
       111:{2,3,5,7}:{(85,1),(90,1),(102,1),(134,1),(135,1),(138,1),(139,1),(174,1)}
       112:{3,5}:{(86,1),(92,1),(131,1)}
       113:{3,4,7}:{(86,1),(87,1),(93,1),(132,1),(136,1)}
       114:{3,6,7}:{(87,1),(88,1),(104,1),(138,1),(174,1)}
       115:{1,2,5,7}:{(88,1),(89,1),(90,1),(105,1),(138,1),(141,1),(172,1)}
       116:{2,4,5,7}:{(90,1),(91,1),(95,1),(106,1),(135,1),(139,1)}
       117:{2,4,5,7}:{(92,1),(93,1),(136,1),(140,1),(141,1),(177,1)}
       118:{2,4,6,7}:{(93,1),(94,1),(107,1),(137,1),(140,1),(141,1),(199,1),(208,1)}
       119:{3,6,7}:{(95,1),(139,1),(142,1)}
       120:{1,3,7}:{(96,1),(97,1),(143,1),(174,1)}
       121:{1,2,4,6}:{(97,1),(98,1),(101,1),(143,1),(144,1),(146,1),(178,1)}
       122:{2,3,5}:{(98,1),(144,1),(145,1),(150,1),(179,1),(204,1)}
       123:{1,4,7}:{(99,1),(100,1),(103,1),(146,1),(178,1)}
       124:{1,3,6}:{(100,1),(101,1),(104,1),(146,1),(171,1)}
       125:{1,2,5,6}:{(101,1),(102,1),(134,1),(144,1),(147,1),(148,1),(152,1),(204,1),(208,1)}
       126:{2,4,6}:{(102,1),(135,1),(145,1),(149,1),(151,1)}
       127:{3,4,6}:{(103,1),(104,1),(107,1),(146,1),(150,1),(151,1)}
       128:{3,5,6}:{(104,1),(105,1),(138,1),(150,1),(151,1)}
       129:{3,5,6}:{(106,1),(139,1),(149,1),(152,1)}
       130:{2,5}:{(107,1),(150,1)}
       131:{1,5}:{(108,1),(112,1)}
       132:{1,4,7}:{(108,1),(109,1),(113,1),(153,1)}
       133:{1,3,6,7}:{(109,1),(110,1),(114,1),(124,1),(154,1),(155,1),(205,1)}
       134:{1,2,5,7}:{(110,1),(111,1),(125,1),(155,1),(156,1),(161,1),(206,1)}
       135:{2,4,7}:{(111,1),(126,1),(157,1),(160,1)}
       136:{3,5,7}:{(112,1),(113,1),(117,1),(153,1),(158,1)}
       137:{3,4,6,7}:{(113,1),(114,1),(118,1),(127,1),(154,1),(158,1),(159,1),(160,1),(187,1),(190,1),(205,1)}
       138:{3,5,7}:{(114,1),(115,1),(128,1),(160,1)}
       139:{3,5,7}:{(116,1),(119,1),(129,1),(157,1),(161,1)}
       140:{2,4,6}:{(117,1),(158,1),(162,1),(190,1)}
       141:{2,5,7}:{(118,1),(130,1),(159,1),(162,1)}
       142:{1,6,7}:{(119,1),(161,1)}
       143:{1,3,6}:{(120,1),(121,1),(163,1),(168,1)}
       144:{1,2,5}:{(121,1),(122,1),(163,1),(166,1)}
       145:{2,4,5}:{(122,1),(126,1),(165,1),(170,1)}
       146:{1,4,6}:{(123,1),(124,1),(127,1),(166,1)}
       147:{1,3,5,6}:{(124,1),(125,1),(128,1),(155,1),(163,1),(166,1),(167,1),(168,1),(185,1),(194,1),(205,1)}
       148:{1,2,4,6}:{(125,1),(126,1),(156,1),(164,1),(167,1),(168,1),(169,1),(195,1),(196,1)}
       149:{3,4,6}:{(126,1),(129,1),(157,1),(165,1),(168,1),(169,1)}
       150:{3,5}:{(127,1),(130,1),(166,1),(170,1)}
       151:{4,6}:{(128,1),(160,1),(170,1)}
       152:{1,5,6}:{(129,1),(161,1),(169,1)}
       153:{1,5,7}:{(131,1),(132,1),(136,1),(171,1)}
       154:{1,4,6,7}:{(132,1),(133,1),(137,1),(146,1),(171,1),(172,1),(173,1),(197,1)}
       155:{1,3,5,7}:{(133,1),(134,1),(138,1),(147,1),(172,1),(173,1),(174,1),(198,1)}
       156:{1,2,4,7}:{(134,1),(135,1),(148,1),(173,1),(174,1),(175,1),(199,1),(200,1)}
       157:{3,4,7}:{(135,1),(139,1),(149,1),(174,1),(175,1)}
       158:{3,6}:{(136,1),(140,1),(171,1)}
       159:{3,5,7}:{(137,1),(141,1),(150,1),(172,1),(176,1),(177,1)}
       160:{4,7}:{(138,1),(151,1)}
       161:{1,5,7}:{(139,1),(142,1),(152,1),(175,1)}
       162:{2,5,6}:{(140,1),(141,1),(176,1),(208,1)}
       163:{1,3,5}:{(143,1),(144,1),(178,1),(179,1)}
       164:{1,2,4,5}:{(144,1),(145,1),(148,1),(178,1),(179,1),(180,1),(181,1),(202,1),(203,1),(204,1)}
       165:{3,4,5}:{(145,1),(149,1),(179,1),(180,1)}
       166:{1,5}:{(146,1),(150,1)}
       167:{1,4,6}:{(147,1),(151,1),(173,1),(178,1),(181,1),(182,1)}
       168:{3,6}:{(148,1),(174,1),(179,1)}
       169:{1,4,6}:{(149,1),(152,1),(175,1),(180,1),(183,1)}
       170:{4,5}:{(150,1),(151,1)}
       171:{1,6}:{(153,1),(158,1)}
       172:{1,5,7}:{(154,1),(159,1),(166,1),(185,1)}
       173:{1,4,7}:{(155,1),(160,1),(167,1),(187,1)}
       174:{3,7}:{(156,1),(168,1)}
       175:{1,4,7}:{(157,1),(161,1),(169,1),(188,1)}
       176:{3,5,6}:{(158,1),(159,1),(162,1),(185,1),(190,1),(205,1)}
       177:{4,5,7}:{(159,1),(160,1),(170,1),(190,1)}
       178:{1,4}:{(163,1),(191,1)}
       179:{3,5}:{(164,1),(168,1),(191,1)}
       180:{1,4,5}:{(165,1),(169,1),(192,1)}
       181:{1,4,5}:{(166,1),(167,1),(170,1),(194,1)}
       182:{3,4,6}:{(167,1),(168,1),(187,1),(191,1),(194,1),(195,1),(205,1)}
       183:{1,3,6}:{(168,1),(169,1),(188,1),(192,1),(196,1)}
       184:{2,3,6}:{(168,1),(189,1),(193,1),(195,1),(196,1)}
       185:{1,5,6}:{(171,1),(172,1),(176,1),(197,1)}
       186:{1,4,5,7}:{(172,1),(173,1),(177,1),(181,1),(197,1),(198,1)}
       187:{3,4,7}:{(173,1),(174,1),(182,1),(198,1),(199,1)}
       188:{1,3,7}:{(174,1),(175,1),(183,1),(200,1)}
       189:{2,3,7}:{(174,1),(184,1),(199,1),(200,1)}
       190:{4,6}:{(176,1),(177,1)}
       191:{3,4}:{(178,1),(179,1),(202,1)}
       192:{1,3,5}:{(179,1),(180,1),(183,1),(201,1),(203,1)}
       193:{2,3,5}:{(179,1),(184,1),(202,1),(203,1),(204,1),(209,1)}
       194:{3,5}:{(181,1),(182,1),(204,1)}
       195:{2,4,6}:{(182,1),(184,1),(199,1),(202,1),(204,1),(208,1)}
       196:{1,2,6}:{(183,1),(184,1),(200,1),(203,1)}
       197:{1,4,6}:{(185,1),(186,1),(190,1),(205,1)}
       198:{3,5,7}:{(186,1),(187,1),(194,1),(205,1),(206,1)}
       199:{2,4,7}:{(187,1),(189,1),(195,1),(206,1)}
       200:{1,2,7}:{(188,1),(189,1),(196,1)}
       201:{1,3,4}:{(191,1),(192,1),(207,1)}
       202:{2,4}:{(191,1),(193,1)}
       203:{1,2,5}:{(192,1),(193,1),(196,1),(207,1)}
       204:{2,5}:{(194,1),(195,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{2,5,7}:{(198,1),(199,1),(204,1),(208,1)}
       207:{1,2,4}:{(201,1),(202,1),(203,1),(209,1)}
       208:{2,6}:{(205,1),(206,1)}
       209:{2,3}:{(207,1)}

 630 :   0:{2,4,5,6}:{(2,1),(3,1),(21,1),(79,1),(80,1)}
         1:{2,3,4,6}:{(5,1),(6,1),(7,1),(21,1),(35,1),(60,1),(75,1),(108,1),(127,1)}
         2:{3,5,6}:{(0,1),(8,1),(9,1),(11,1)}
         3:{2,4,5,7}:{(0,1),(11,1),(12,1),(40,1),(90,1),(91,1)}
         4:{3,4,5}:{(8,1),(13,1),(14,1),(50,1)}
         5:{2,3,5}:{(1,1),(14,1),(16,1),(50,1),(131,1),(150,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(19,1),(55,1),(57,1),(107,1)}
         7:{2,3,4,7}:{(1,1),(17,1),(19,1),(40,1),(87,1),(103,1),(132,1),(202,1)}
         8:{3,4,6}:{(2,1),(4,1),(20,1),(21,1),(22,1),(60,1)}
         9:{1,5,6}:{(2,1),(20,1),(24,1)}
        10:{2,3,5,6}:{(2,1),(5,1),(21,1),(23,1),(25,1),(35,1),(60,1),(79,1),(128,1)}
        11:{3,5,7}:{(2,1),(3,1),(22,1),(24,1),(26,1)}
        12:{2,4,6,7}:{(3,1),(26,1),(27,1),(69,1)}
        13:{1,4,5}:{(4,1),(20,1),(28,1)}
        14:{2,4,5}:{(4,1),(5,1),(21,1),(170,1)}
        15:{3,4,5,7}:{(4,1),(22,1),(30,1),(31,1),(32,1),(64,1),(76,1),(157,1),(160,1),(165,1),(170,1)}
        16:{1,2,5}:{(5,1),(6,1),(33,1),(130,1)}
        17:{2,3,5,7}:{(5,1),(7,1),(31,1),(34,1),(35,1),(76,1),(153,1),(189,1),(193,1)}
        18:{1,3,6}:{(6,1),(33,1),(36,1),(60,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(34,1),(36,1),(81,1),(207,1)}
        20:{1,4,6}:{(8,1),(9,1),(13,1),(37,1),(39,1)}
        21:{2,4,6}:{(8,1),(10,1),(14,1),(40,1),(151,1)}
        22:{3,4,7}:{(8,1),(11,1),(39,1),(40,1),(87,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(16,1),(38,1),(42,1),(43,1),(57,1),(131,1),(171,1)}
        24:{1,5,7}:{(9,1),(11,1),(39,1),(44,1)}
        25:{2,3,5,7}:{(10,1),(11,1),(40,1),(43,1),(45,1),(87,1),(90,1),(138,1)}
        26:{3,6,7}:{(11,1),(12,1),(44,1)}
        27:{2,5,6,7}:{(12,1),(46,1),(90,1),(142,1)}
        28:{1,3,5}:{(13,1),(37,1),(47,1),(48,1),(50,1)}
        29:{1,2,4,5}:{(13,1),(14,1),(16,1),(38,1),(48,1),(50,1),(55,1),(92,1),(99,1),(131,1)}
        30:{1,4,5,7}:{(13,1),(15,1),(39,1),(49,1),(52,1),(89,1),(135,1),(145,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(17,1),(40,1),(53,1),(90,1),(175,1),(180,1)}
        32:{3,4,6}:{(15,1),(52,1),(53,1),(54,1),(104,1),(151,1)}
        33:{1,3,5}:{(16,1),(18,1),(50,1),(55,1)}
        34:{1,2,5,7}:{(16,1),(17,1),(19,1),(56,1),(57,1),(200,1),(203,1)}
        35:{2,3,6}:{(17,1),(53,1),(57,1),(104,1),(171,1)}
        36:{1,3,7}:{(18,1),(19,1),(87,1),(209,1)}
        37:{1,3,6}:{(20,1),(28,1),(58,1),(59,1),(60,1)}
        38:{1,2,4,6}:{(20,1),(21,1),(23,1),(29,1),(58,1),(60,1),(61,1),(65,1),(108,1)}
        39:{1,4,7}:{(20,1),(22,1),(24,1),(59,1)}
        40:{2,4,7}:{(21,1),(22,1),(25,1),(160,1)}
        41:{3,4,6,7}:{(22,1),(26,1),(32,1),(62,1),(63,1),(64,1),(69,1),(114,1),(119,1),(157,1),(160,1)}
        42:{1,3,5,6}:{(23,1),(33,1),(60,1),(65,1),(66,1),(82,1),(112,1),(128,1),(130,1),(158,1),(162,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(25,1),(61,1),(66,1),(67,1),(153,1)}
        44:{1,6,7}:{(24,1),(26,1)}
        45:{2,3,6,7}:{(25,1),(26,1),(35,1),(63,1),(67,1),(114,1),(189,1)}
        46:{3,5,6,7}:{(26,1),(27,1),(64,1),(68,1),(69,1),(119,1)}
        47:{1,3,4}:{(28,1),(70,1),(75,1)}
        48:{1,2,5}:{(28,1),(58,1),(70,1),(72,1)}
        49:{1,3,5,7}:{(28,1),(30,1),(59,1),(71,1),(73,1),(74,1),(76,1),(122,1),(206,1)}
        50:{3,5}:{(29,1),(60,1),(75,1)}
        51:{1,2,4,5,7}:{(29,1),(30,1),(31,1),(34,1),(61,1),(73,1),(76,1),(77,1),(81,1),(115,1),(117,1),(123,1),(130,1),(153,1),(156,1),(160,1),(164,1),(166,1),(170,1),(186,1),(206,1)}
        52:{1,4,6}:{(30,1),(32,1),(74,1),(78,1)}
        53:{2,4,6}:{(31,1),(32,1),(35,1),(79,1)}
        54:{3,5,6}:{(32,1),(64,1),(78,1),(79,1),(80,1)}
        55:{1,4}:{(33,1),(75,1)}
        56:{1,3,5,7}:{(33,1),(34,1),(36,1),(76,1),(81,1),(82,1),(130,1),(188,1),(192,1),(206,1)}
        57:{1,2,6}:{(34,1),(35,1),(82,1)}
        58:{1,2,6}:{(37,1),(48,1),(83,1),(84,1)}
        59:{1,3,7}:{(37,1),(39,1),(84,1),(87,1)}
        60:{3,6}:{(38,1),(50,1),(87,1)}
        61:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(84,1),(87,1),(93,1),(132,1)}
        62:{1,4,6,7}:{(39,1),(41,1),(44,1),(52,1),(85,1),(89,1),(135,1)}
        63:{2,4,6,7}:{(40,1),(41,1),(45,1),(53,1),(90,1),(142,1),(175,1)}
        64:{3,5,7}:{(41,1),(54,1),(89,1),(90,1),(91,1)}
        65:{1,4,6}:{(42,1),(55,1),(86,1),(92,1),(93,1),(151,1)}
        66:{1,3,5,7}:{(42,1),(43,1),(87,1),(93,1),(94,1),(136,1),(138,1),(141,1)}
        67:{1,2,6,7}:{(43,1),(44,1),(45,1),(57,1),(94,1),(171,1),(200,1)}
        68:{1,5,6,7}:{(44,1),(46,1),(89,1),(95,1)}
        69:{4,6,7}:{(46,1),(91,1)}
        70:{1,2,4}:{(47,1),(48,1),(96,1),(99,1)}
        71:{1,3,4,7}:{(47,1),(49,1),(97,1),(98,1),(103,1),(135,1),(174,1),(199,1)}
        72:{2,3,5}:{(48,1),(50,1),(83,1),(96,1),(99,1),(131,1)}
        73:{1,2,5,7}:{(48,1),(49,1),(84,1),(97,1),(100,1),(101,1),(144,1)}
        74:{1,3,6}:{(49,1),(52,1),(101,1),(104,1),(208,1)}
        75:{3,4}:{(50,1),(55,1),(99,1)}
        76:{3,5,7}:{(50,1),(51,1),(87,1),(103,1),(104,1),(150,1),(174,1),(179,1)}
        77:{1,2,4,6}:{(51,1),(52,1),(53,1),(57,1),(101,1),(104,1),(105,1),(107,1),(140,1),(146,1),(151,1),(171,1),(197,1),(208,1)}
        78:{1,5,6}:{(52,1),(54,1),(89,1)}
        79:{2,5,6}:{(53,1),(54,1),(90,1)}
        80:{4,5,6}:{(54,1),(91,1),(151,1)}
        81:{1,4,7}:{(55,1),(56,1),(103,1),(107,1),(201,1)}
        82:{1,3,6}:{(56,1),(57,1),(104,1),(107,1),(208,1)}
        83:{2,3,6}:{(58,1),(60,1),(72,1),(108,1),(109,1)}
        84:{1,2,7}:{(58,1),(59,1),(109,1)}
        85:{1,3,6,7}:{(59,1),(62,1),(74,1),(110,1),(111,1),(114,1),(119,1)}
        86:{3,4,6}:{(60,1),(65,1),(75,1),(108,1),(112,1),(113,1),(158,1)}
        87:{3,7}:{(60,1),(61,1)}
        88:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(67,1),(77,1),(110,1),(114,1),(115,1),(118,1),(154,1),(156,1),(160,1)}
        89:{1,5,7}:{(62,1),(64,1),(78,1)}
        90:{2,5,7}:{(63,1),(64,1),(79,1)}
        91:{4,5,7}:{(64,1),(69,1),(80,1),(160,1)}
        92:{1,4,5}:{(65,1),(112,1),(130,1),(170,1)}
        93:{1,4,7}:{(65,1),(66,1),(113,1),(160,1)}
        94:{1,3,6,7}:{(66,1),(67,1),(82,1),(114,1),(118,1),(158,1),(188,1)}
        95:{1,4,6,7}:{(68,1),(69,1),(116,1),(119,1)}
        96:{2,3}:{(70,1)}
        97:{1,2,4,7}:{(70,1),(71,1),(73,1),(120,1),(121,1),(123,1)}
        98:{1,3,4,6}:{(71,1),(74,1),(121,1),(122,1),(126,1),(127,1),(168,1),(191,1),(195,1)}
        99:{2,4}:{(72,1),(75,1)}
       100:{2,3,5,7}:{(72,1),(73,1),(76,1),(109,1),(120,1),(123,1),(124,1),(153,1),(163,1),(166,1)}
       101:{1,2,6}:{(73,1),(74,1),(124,1)}
       102:{1,3,5,6}:{(74,1),(78,1),(111,1),(122,1),(125,1),(126,1),(128,1),(129,1),(168,1)}
       103:{3,4,7}:{(75,1),(76,1),(81,1),(123,1),(127,1),(160,1),(191,1)}
       104:{3,6}:{(76,1),(77,1)}
       105:{1,2,5,6}:{(77,1),(78,1),(79,1),(115,1),(128,1),(130,1),(162,1),(166,1),(185,1)}
       106:{1,4,5,6}:{(78,1),(80,1),(116,1),(126,1),(129,1)}
       107:{1,4,6}:{(81,1),(82,1),(127,1),(130,1)}
       108:{2,4,6}:{(83,1),(86,1),(99,1),(131,1),(132,1),(171,1)}
       109:{2,3,7}:{(83,1),(84,1),(87,1),(132,1)}
       110:{1,2,6,7}:{(84,1),(85,1),(101,1),(133,1),(134,1),(142,1),(208,1)}
       111:{1,3,5,7}:{(85,1),(89,1),(102,1),(134,1),(135,1),(138,1),(139,1),(174,1)}
       112:{3,5}:{(86,1),(92,1),(131,1)}
       113:{3,4,7}:{(86,1),(87,1),(93,1),(132,1),(136,1)}
       114:{3,6,7}:{(87,1),(88,1),(104,1),(138,1),(174,1)}
       115:{1,2,5,7}:{(88,1),(89,1),(90,1),(105,1),(138,1),(141,1),(172,1)}
       116:{1,4,5,7}:{(89,1),(91,1),(95,1),(106,1),(135,1),(139,1)}
       117:{1,4,5,7}:{(92,1),(93,1),(136,1),(140,1),(141,1),(177,1)}
       118:{1,4,6,7}:{(93,1),(94,1),(107,1),(137,1),(140,1),(141,1),(199,1),(208,1)}
       119:{3,6,7}:{(95,1),(139,1),(142,1)}
       120:{2,3,7}:{(96,1),(97,1),(143,1),(174,1)}
       121:{1,2,4,6}:{(97,1),(98,1),(101,1),(143,1),(144,1),(146,1),(178,1)}
       122:{1,3,5}:{(98,1),(144,1),(145,1),(150,1),(179,1),(204,1)}
       123:{2,4,7}:{(99,1),(100,1),(103,1),(146,1),(178,1)}
       124:{2,3,6}:{(100,1),(101,1),(104,1),(146,1),(171,1)}
       125:{1,2,5,6}:{(101,1),(102,1),(134,1),(144,1),(147,1),(148,1),(152,1),(204,1),(208,1)}
       126:{1,4,6}:{(102,1),(135,1),(145,1),(149,1),(151,1)}
       127:{3,4,6}:{(103,1),(104,1),(107,1),(146,1),(150,1),(151,1)}
       128:{3,5,6}:{(104,1),(105,1),(138,1),(150,1),(151,1)}
       129:{3,5,6}:{(106,1),(139,1),(149,1),(152,1)}
       130:{1,5}:{(107,1),(150,1)}
       131:{2,5}:{(108,1),(112,1)}
       132:{2,4,7}:{(108,1),(109,1),(113,1),(153,1)}
       133:{2,3,6,7}:{(109,1),(110,1),(114,1),(124,1),(154,1),(155,1),(205,1)}
       134:{1,2,5,7}:{(110,1),(111,1),(125,1),(155,1),(156,1),(161,1),(206,1)}
       135:{1,4,7}:{(111,1),(126,1),(157,1),(160,1)}
       136:{3,5,7}:{(112,1),(113,1),(117,1),(153,1),(158,1)}
       137:{3,4,6,7}:{(113,1),(114,1),(118,1),(127,1),(154,1),(158,1),(159,1),(160,1),(187,1),(190,1),(205,1)}
       138:{3,5,7}:{(114,1),(115,1),(128,1),(160,1)}
       139:{3,5,7}:{(116,1),(119,1),(129,1),(157,1),(161,1)}
       140:{1,4,6}:{(117,1),(158,1),(162,1),(190,1)}
       141:{1,5,7}:{(118,1),(130,1),(159,1),(162,1)}
       142:{2,6,7}:{(119,1),(161,1)}
       143:{2,3,6}:{(120,1),(121,1),(163,1),(168,1)}
       144:{1,2,5}:{(121,1),(122,1),(163,1),(166,1)}
       145:{1,4,5}:{(122,1),(126,1),(165,1),(170,1)}
       146:{2,4,6}:{(123,1),(124,1),(127,1),(166,1)}
       147:{2,3,5,6}:{(124,1),(125,1),(128,1),(155,1),(163,1),(166,1),(167,1),(168,1),(185,1),(194,1),(205,1)}
       148:{1,2,4,6}:{(125,1),(126,1),(156,1),(164,1),(167,1),(168,1),(169,1),(195,1),(196,1)}
       149:{3,4,6}:{(126,1),(129,1),(157,1),(165,1),(168,1),(169,1)}
       150:{3,5}:{(127,1),(130,1),(166,1),(170,1)}
       151:{4,6}:{(128,1),(160,1),(170,1)}
       152:{2,5,6}:{(129,1),(161,1),(169,1)}
       153:{2,5,7}:{(131,1),(132,1),(136,1),(171,1)}
       154:{2,4,6,7}:{(132,1),(133,1),(137,1),(146,1),(171,1),(172,1),(173,1),(197,1)}
       155:{2,3,5,7}:{(133,1),(134,1),(138,1),(147,1),(172,1),(173,1),(174,1),(198,1)}
       156:{1,2,4,7}:{(134,1),(135,1),(148,1),(173,1),(174,1),(175,1),(199,1),(200,1)}
       157:{3,4,7}:{(135,1),(139,1),(149,1),(174,1),(175,1)}
       158:{3,6}:{(136,1),(140,1),(171,1)}
       159:{3,5,7}:{(137,1),(141,1),(150,1),(172,1),(176,1),(177,1)}
       160:{4,7}:{(138,1),(151,1)}
       161:{2,5,7}:{(139,1),(142,1),(152,1),(175,1)}
       162:{1,5,6}:{(140,1),(141,1),(176,1),(208,1)}
       163:{2,3,5}:{(143,1),(144,1),(178,1),(179,1)}
       164:{1,2,4,5}:{(144,1),(145,1),(148,1),(178,1),(179,1),(180,1),(181,1),(201,1),(203,1),(204,1)}
       165:{3,4,5}:{(145,1),(149,1),(179,1),(180,1)}
       166:{2,5}:{(146,1),(150,1)}
       167:{2,4,6}:{(147,1),(151,1),(173,1),(178,1),(181,1),(182,1)}
       168:{3,6}:{(148,1),(174,1),(179,1)}
       169:{2,4,6}:{(149,1),(152,1),(175,1),(180,1),(184,1)}
       170:{4,5}:{(150,1),(151,1)}
       171:{2,6}:{(153,1),(158,1)}
       172:{2,5,7}:{(154,1),(159,1),(166,1),(185,1)}
       173:{2,4,7}:{(155,1),(160,1),(167,1),(187,1)}
       174:{3,7}:{(156,1),(168,1)}
       175:{2,4,7}:{(157,1),(161,1),(169,1),(189,1)}
       176:{3,5,6}:{(158,1),(159,1),(162,1),(185,1),(190,1),(205,1)}
       177:{4,5,7}:{(159,1),(160,1),(170,1),(190,1)}
       178:{2,4}:{(163,1),(191,1)}
       179:{3,5}:{(164,1),(168,1),(191,1)}
       180:{2,4,5}:{(165,1),(169,1),(193,1)}
       181:{2,4,5}:{(166,1),(167,1),(170,1),(194,1)}
       182:{3,4,6}:{(167,1),(168,1),(187,1),(191,1),(194,1),(195,1),(205,1)}
       183:{1,3,6}:{(168,1),(188,1),(192,1),(195,1),(196,1)}
       184:{2,3,6}:{(168,1),(169,1),(189,1),(193,1),(196,1)}
       185:{2,5,6}:{(171,1),(172,1),(176,1),(197,1)}
       186:{2,4,5,7}:{(172,1),(173,1),(177,1),(181,1),(197,1),(198,1)}
       187:{3,4,7}:{(173,1),(174,1),(182,1),(198,1),(199,1)}
       188:{1,3,7}:{(174,1),(183,1),(199,1),(200,1)}
       189:{2,3,7}:{(174,1),(175,1),(184,1),(200,1)}
       190:{4,6}:{(176,1),(177,1)}
       191:{3,4}:{(178,1),(179,1),(201,1)}
       192:{1,3,5}:{(179,1),(183,1),(201,1),(203,1),(204,1),(209,1)}
       193:{2,3,5}:{(179,1),(180,1),(184,1),(202,1),(203,1)}
       194:{3,5}:{(181,1),(182,1),(204,1)}
       195:{1,4,6}:{(182,1),(183,1),(199,1),(201,1),(204,1),(208,1)}
       196:{1,2,6}:{(183,1),(184,1),(200,1),(203,1)}
       197:{2,4,6}:{(185,1),(186,1),(190,1),(205,1)}
       198:{3,5,7}:{(186,1),(187,1),(194,1),(205,1),(206,1)}
       199:{1,4,7}:{(187,1),(188,1),(195,1),(206,1)}
       200:{1,2,7}:{(188,1),(189,1),(196,1)}
       201:{1,4}:{(191,1),(192,1)}
       202:{2,3,4}:{(191,1),(193,1),(207,1)}
       203:{1,2,5}:{(192,1),(193,1),(196,1),(207,1)}
       204:{1,5}:{(194,1),(195,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{1,5,7}:{(198,1),(199,1),(204,1),(208,1)}
       207:{1,2,4}:{(201,1),(202,1),(203,1),(209,1)}
       208:{1,6}:{(205,1),(206,1)}
       209:{1,3}:{(207,1)}

 631 :   0:{3,5,6,7}:{(2,1),(3,1),(4,1),(28,1),(33,1),(37,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(8,1),(37,1),(43,1),(44,1),(48,1),(82,1),(91,1),(154,1),(156,1)}
         2:{1,5,6,7}:{(0,1),(11,1),(61,1),(68,1)}
         3:{2,5,6,7}:{(0,1),(14,1),(54,1),(69,1)}
         4:{4,6,7}:{(0,1),(17,1)}
         5:{4,5,6}:{(17,1),(19,1),(128,1)}
         6:{3,4,6}:{(1,1),(19,1),(20,1),(21,1),(72,1),(128,1)}
         7:{1,4,5,7}:{(1,1),(13,1),(20,1),(68,1),(74,1),(78,1),(110,1),(118,1)}
         8:{2,4,5,7}:{(1,1),(16,1),(21,1),(69,1),(75,1),(79,1),(111,1),(119,1)}
         9:{1,3,4,7}:{(13,1),(23,1),(24,1),(73,1),(110,1),(130,1),(164,1),(196,1)}
        10:{2,3,4,7}:{(16,1),(25,1),(26,1),(73,1),(119,1),(131,1),(171,1),(200,1)}
        11:{1,4,6,7}:{(2,1),(4,1),(27,1),(28,1)}
        12:{1,4,5,6}:{(5,1),(27,1),(29,1),(40,1),(86,1)}
        13:{1,3,5,7}:{(7,1),(9,1),(30,1),(31,1),(43,1),(45,1),(107,1),(146,1),(204,1)}
        14:{2,4,6,7}:{(3,1),(4,1),(32,1),(33,1)}
        15:{2,4,5,6}:{(5,1),(32,1),(34,1),(41,1),(96,1)}
        16:{2,3,5,7}:{(8,1),(10,1),(35,1),(36,1),(43,1),(49,1),(104,1),(138,1),(206,1)}
        17:{4,5,7}:{(4,1),(5,1),(37,1),(154,1)}
        18:{3,4,6,7}:{(4,1),(6,1),(28,1),(33,1),(37,1),(38,1),(39,1),(82,1),(91,1),(101,1),(154,1)}
        19:{3,5,6}:{(5,1),(6,1),(37,1),(40,1),(41,1)}
        20:{1,4,6}:{(6,1),(7,1),(30,1),(40,1)}
        21:{2,4,6}:{(6,1),(8,1),(35,1),(41,1)}
        22:{1,2,4,5,7}:{(7,1),(8,1),(31,1),(36,1),(42,1),(43,1),(90,1),(99,1),(100,1),(105,1),(108,1),(139,1),(145,1),(147,1),(153,1),(154,1),(156,1),(185,1),(191,1),(204,1),(206,1)}
        23:{1,3,4,6}:{(9,1),(30,1),(45,1),(46,1),(86,1),(103,1),(143,1),(160,1),(187,1)}
        24:{1,2,4,7}:{(9,1),(31,1),(46,1),(47,1),(90,1),(157,1)}
        25:{2,3,4,6}:{(10,1),(35,1),(49,1),(50,1),(96,1),(103,1),(151,1),(162,1),(193,1)}
        26:{1,2,4,7}:{(10,1),(36,1),(50,1),(51,1),(99,1),(158,1)}
        27:{1,4,5,7}:{(11,1),(12,1),(17,1),(52,1),(68,1),(110,1)}
        28:{3,6,7}:{(11,1),(52,1),(54,1)}
        29:{3,5,6}:{(12,1),(52,1),(55,1),(57,1)}
        30:{1,3,6}:{(13,1),(20,1),(58,1),(72,1),(208,1)}
        31:{1,2,5,7}:{(13,1),(24,1),(58,1),(59,1),(76,1),(135,1),(170,1)}
        32:{2,4,5,7}:{(14,1),(15,1),(17,1),(60,1),(69,1),(119,1)}
        33:{3,6,7}:{(14,1),(60,1),(61,1)}
        34:{3,5,6}:{(15,1),(60,1),(63,1),(64,1)}
        35:{2,3,6}:{(16,1),(21,1),(66,1),(72,1),(209,1)}
        36:{1,2,5,7}:{(16,1),(26,1),(66,1),(67,1),(80,1),(132,1),(163,1)}
        37:{3,5,7}:{(17,1),(18,1),(19,1),(68,1),(69,1)}
        38:{1,4,6,7}:{(18,1),(20,1),(53,1),(61,1),(68,1),(110,1),(118,1)}
        39:{2,4,6,7}:{(18,1),(21,1),(54,1),(62,1),(69,1),(111,1),(119,1)}
        40:{1,5,6}:{(19,1),(20,1),(68,1)}
        41:{2,5,6}:{(19,1),(21,1),(69,1)}
        42:{1,2,4,6}:{(20,1),(21,1),(22,1),(58,1),(66,1),(71,1),(72,1),(117,1),(125,1),(128,1),(198,1),(202,1),(208,1),(209,1)}
        43:{3,5,7}:{(22,1),(72,1),(73,1),(129,1),(133,1),(136,1),(164,1),(171,1)}
        44:{3,4,5}:{(55,1),(74,1),(75,1),(133,1)}
        45:{1,3,5}:{(23,1),(74,1),(76,1),(129,1),(133,1),(199,1)}
        46:{1,2,4,6}:{(23,1),(24,1),(58,1),(76,1),(77,1),(117,1),(134,1)}
        47:{2,3,7}:{(24,1),(77,1),(164,1),(179,1)}
        48:{3,4,5}:{(63,1),(78,1),(79,1),(136,1)}
        49:{2,3,5}:{(25,1),(79,1),(80,1),(129,1),(136,1),(203,1)}
        50:{1,2,4,6}:{(25,1),(26,1),(66,1),(80,1),(81,1),(125,1),(137,1)}
        51:{1,3,7}:{(26,1),(81,1),(171,1),(180,1)}
        52:{3,5,7}:{(27,1),(28,1),(29,1),(82,1),(84,1)}
        53:{1,3,6,7}:{(28,1),(30,1),(38,1),(83,1),(85,1),(101,1),(146,1)}
        54:{2,6,7}:{(28,1),(84,1)}
        55:{3,4,6}:{(29,1),(44,1),(82,1),(86,1),(87,1),(143,1)}
        56:{1,3,5,6}:{(29,1),(30,1),(40,1),(45,1),(83,1),(86,1),(88,1),(102,1),(143,1)}
        57:{2,5,6}:{(29,1),(84,1),(87,1)}
        58:{1,2,6}:{(30,1),(31,1),(89,1)}
        59:{2,3,5,7}:{(31,1),(43,1),(47,1),(89,1),(90,1),(106,1),(145,1),(161,1),(189,1),(206,1)}
        60:{3,5,7}:{(32,1),(33,1),(34,1),(91,1),(92,1)}
        61:{1,6,7}:{(33,1),(92,1)}
        62:{2,3,6,7}:{(33,1),(35,1),(39,1),(93,1),(94,1),(101,1),(138,1)}
        63:{3,4,6}:{(34,1),(48,1),(91,1),(95,1),(96,1),(151,1)}
        64:{1,5,6}:{(34,1),(92,1),(95,1)}
        65:{2,3,5,6}:{(34,1),(35,1),(41,1),(49,1),(93,1),(96,1),(97,1),(102,1),(151,1)}
        66:{1,2,6}:{(35,1),(36,1),(98,1)}
        67:{1,3,5,7}:{(36,1),(43,1),(51,1),(98,1),(99,1),(109,1),(153,1),(159,1),(183,1),(204,1)}
        68:{1,5,7}:{(37,1),(38,1),(40,1)}
        69:{2,5,7}:{(37,1),(39,1),(41,1)}
        70:{1,2,4,6,7}:{(38,1),(39,1),(42,1),(85,1),(94,1),(100,1),(101,1),(139,1),(141,1),(147,1),(149,1),(154,1)}
        71:{1,2,5,6}:{(40,1),(41,1),(42,1),(100,1),(102,1),(145,1),(153,1),(186,1),(192,1)}
        72:{3,6}:{(42,1),(43,1)}
        73:{3,4,7}:{(43,1),(90,1),(99,1),(103,1),(154,1),(160,1),(162,1)}
        74:{1,4,5}:{(44,1),(45,1),(86,1),(156,1)}
        75:{2,4,5}:{(44,1),(87,1),(104,1)}
        76:{1,2,5}:{(45,1),(46,1),(106,1),(145,1)}
        77:{2,3,6}:{(46,1),(47,1),(106,1),(143,1)}
        78:{1,4,5}:{(48,1),(95,1),(107,1)}
        79:{2,4,5}:{(48,1),(49,1),(96,1),(156,1)}
        80:{1,2,5}:{(49,1),(50,1),(109,1),(153,1)}
        81:{1,3,6}:{(50,1),(51,1),(109,1),(151,1)}
        82:{3,4,7}:{(52,1),(55,1),(110,1),(111,1),(164,1)}
        83:{1,3,5,7}:{(52,1),(53,1),(56,1),(68,1),(110,1),(112,1),(126,1),(164,1)}
        84:{2,5,7}:{(52,1),(54,1),(57,1),(111,1)}
        85:{1,2,6,7}:{(53,1),(54,1),(58,1),(112,1),(113,1),(170,1),(208,1)}
        86:{1,4,6}:{(55,1),(56,1),(74,1),(110,1),(128,1)}
        87:{2,4,6}:{(55,1),(57,1),(75,1),(111,1),(114,1)}
        88:{1,2,5,6}:{(56,1),(57,1),(58,1),(76,1),(112,1),(115,1),(116,1),(199,1),(208,1)}
        89:{2,3,6}:{(58,1),(59,1),(72,1),(117,1),(209,1)}
        90:{2,4,7}:{(59,1),(73,1),(117,1),(134,1),(182,1)}
        91:{3,4,7}:{(60,1),(63,1),(118,1),(119,1),(171,1)}
        92:{1,5,7}:{(60,1),(61,1),(64,1),(118,1)}
        93:{2,3,5,7}:{(60,1),(62,1),(65,1),(69,1),(119,1),(120,1),(126,1),(171,1)}
        94:{1,2,6,7}:{(61,1),(62,1),(66,1),(120,1),(121,1),(163,1),(209,1)}
        95:{1,4,6}:{(63,1),(64,1),(78,1),(118,1),(122,1)}
        96:{2,4,6}:{(63,1),(65,1),(79,1),(119,1),(128,1)}
        97:{1,2,5,6}:{(64,1),(65,1),(66,1),(80,1),(120,1),(123,1),(124,1),(203,1),(209,1)}
        98:{1,3,6}:{(66,1),(67,1),(72,1),(125,1),(208,1)}
        99:{1,4,7}:{(67,1),(73,1),(125,1),(137,1),(181,1)}
       100:{1,2,5,7}:{(68,1),(69,1),(70,1),(71,1),(126,1),(166,1),(173,1)}
       101:{3,6,7}:{(70,1),(72,1),(126,1),(164,1),(171,1)}
       102:{3,5,6}:{(71,1),(72,1),(126,1),(128,1),(129,1)}
       103:{3,4,6}:{(72,1),(73,1),(117,1),(125,1),(128,1),(129,1)}
       104:{2,3,5}:{(75,1),(114,1),(131,1),(132,1),(133,1)}
       105:{1,2,4,5}:{(74,1),(75,1),(76,1),(115,1),(132,1),(133,1),(134,1),(169,1),(181,1),(199,1)}
       106:{2,3,5}:{(76,1),(77,1),(133,1),(134,1)}
       107:{1,3,5}:{(78,1),(122,1),(130,1),(135,1),(136,1)}
       108:{1,2,4,5}:{(78,1),(79,1),(80,1),(123,1),(135,1),(136,1),(137,1),(176,1),(182,1),(203,1)}
       109:{1,3,5}:{(80,1),(81,1),(136,1),(137,1)}
       110:{1,4,7}:{(82,1),(83,1),(86,1),(154,1)}
       111:{2,4,7}:{(82,1),(84,1),(87,1),(138,1)}
       112:{1,2,5,7}:{(83,1),(84,1),(85,1),(88,1),(139,1),(140,1),(204,1)}
       113:{2,3,6,7}:{(85,1),(89,1),(101,1),(140,1),(141,1),(189,1),(205,1)}
       114:{2,3,6}:{(87,1),(104,1),(138,1),(142,1),(143,1)}
       115:{1,2,4,6}:{(86,1),(87,1),(88,1),(105,1),(139,1),(142,1),(143,1),(144,1),(187,1)}
       116:{2,3,5,6}:{(88,1),(89,1),(102,1),(106,1),(140,1),(143,1),(144,1),(145,1),(186,1),(188,1),(205,1)}
       117:{2,4,6}:{(89,1),(90,1),(103,1),(145,1)}
       118:{1,4,7}:{(91,1),(92,1),(95,1),(146,1)}
       119:{2,4,7}:{(91,1),(93,1),(96,1),(154,1)}
       120:{1,2,5,7}:{(92,1),(93,1),(94,1),(97,1),(147,1),(148,1),(206,1)}
       121:{1,3,6,7}:{(94,1),(98,1),(101,1),(148,1),(149,1),(183,1),(207,1)}
       122:{1,3,6}:{(95,1),(107,1),(146,1),(150,1),(151,1)}
       123:{1,2,4,6}:{(95,1),(96,1),(97,1),(108,1),(147,1),(150,1),(151,1),(152,1),(193,1)}
       124:{1,3,5,6}:{(97,1),(98,1),(102,1),(109,1),(148,1),(151,1),(152,1),(153,1),(192,1),(194,1),(207,1)}
       125:{1,4,6}:{(98,1),(99,1),(103,1),(153,1)}
       126:{3,5,7}:{(100,1),(101,1),(102,1),(154,1)}
       127:{3,4,6,7}:{(101,1),(103,1),(141,1),(149,1),(154,1),(155,1),(184,1),(190,1),(195,1),(205,1),(207,1)}
       128:{4,6}:{(102,1),(154,1),(156,1)}
       129:{3,5}:{(103,1),(145,1),(153,1),(156,1)}
       130:{1,3,4}:{(107,1),(157,1),(162,1)}
       131:{2,3,4}:{(104,1),(158,1),(160,1)}
       132:{1,2,5}:{(104,1),(142,1),(158,1),(159,1)}
       133:{3,5}:{(105,1),(143,1),(160,1)}
       134:{2,4}:{(106,1),(160,1)}
       135:{1,2,5}:{(107,1),(150,1),(157,1),(161,1)}
       136:{3,5}:{(108,1),(151,1),(162,1)}
       137:{1,4}:{(109,1),(162,1)}
       138:{2,3,7}:{(111,1),(114,1),(163,1),(164,1)}
       139:{1,2,4,7}:{(110,1),(111,1),(112,1),(115,1),(163,1),(164,1),(165,1),(196,1)}
       140:{2,3,5,7}:{(112,1),(113,1),(116,1),(126,1),(164,1),(165,1),(166,1),(197,1)}
       141:{2,4,6,7}:{(113,1),(117,1),(127,1),(165,1),(166,1),(198,1),(200,1),(209,1)}
       142:{1,2,6}:{(114,1),(132,1),(163,1),(167,1)}
       143:{3,6}:{(115,1),(133,1),(164,1)}
       144:{2,4,6}:{(116,1),(128,1),(134,1),(165,1),(168,1),(169,1)}
       145:{2,5}:{(117,1),(129,1)}
       146:{1,3,7}:{(118,1),(122,1),(170,1),(171,1)}
       147:{1,2,4,7}:{(118,1),(119,1),(120,1),(123,1),(170,1),(171,1),(172,1),(200,1)}
       148:{1,3,5,7}:{(120,1),(121,1),(124,1),(126,1),(171,1),(172,1),(173,1),(201,1)}
       149:{1,4,6,7}:{(121,1),(125,1),(127,1),(172,1),(173,1),(196,1),(202,1),(208,1)}
       150:{1,2,6}:{(122,1),(135,1),(170,1),(174,1)}
       151:{3,6}:{(123,1),(136,1),(171,1)}
       152:{1,4,6}:{(124,1),(128,1),(137,1),(172,1),(175,1),(176,1)}
       153:{1,5}:{(125,1),(129,1)}
       154:{4,7}:{(126,1),(128,1)}
       155:{3,5,7}:{(127,1),(129,1),(166,1),(173,1),(177,1),(178,1)}
       156:{4,5}:{(128,1),(129,1)}
       157:{1,2,4}:{(130,1),(135,1),(179,1),(182,1)}
       158:{1,2,4}:{(131,1),(132,1),(180,1),(181,1)}
       159:{1,3,5}:{(132,1),(133,1),(167,1),(180,1),(181,1),(199,1)}
       160:{3,4}:{(133,1),(134,1),(181,1)}
       161:{2,3,5}:{(135,1),(136,1),(174,1),(179,1),(182,1),(203,1)}
       162:{3,4}:{(136,1),(137,1),(182,1)}
       163:{1,2,7}:{(138,1),(142,1),(183,1)}
       164:{3,7}:{(139,1),(143,1)}
       165:{2,4,7}:{(140,1),(144,1),(154,1),(184,1)}
       166:{2,5,7}:{(141,1),(145,1),(155,1),(186,1)}
       167:{1,3,6}:{(142,1),(143,1),(159,1),(183,1),(187,1)}
       168:{3,4,6}:{(143,1),(144,1),(160,1),(184,1),(187,1),(188,1),(205,1)}
       169:{2,4,5}:{(144,1),(145,1),(156,1),(188,1)}
       170:{1,2,7}:{(146,1),(150,1),(189,1)}
       171:{3,7}:{(147,1),(151,1)}
       172:{1,4,7}:{(148,1),(152,1),(154,1),(190,1)}
       173:{1,5,7}:{(149,1),(153,1),(155,1),(192,1)}
       174:{2,3,6}:{(150,1),(151,1),(161,1),(189,1),(193,1)}
       175:{3,4,6}:{(151,1),(152,1),(162,1),(190,1),(193,1),(194,1),(207,1)}
       176:{1,4,5}:{(152,1),(153,1),(156,1),(194,1)}
       177:{4,5,7}:{(154,1),(155,1),(156,1),(195,1)}
       178:{3,5,6}:{(155,1),(186,1),(192,1),(195,1),(205,1),(207,1)}
       179:{2,3}:{(157,1)}
       180:{1,3}:{(158,1)}
       181:{1,4}:{(159,1),(160,1)}
       182:{2,4}:{(161,1),(162,1)}
       183:{1,3,7}:{(163,1),(164,1),(167,1),(196,1)}
       184:{3,4,7}:{(164,1),(165,1),(168,1),(196,1),(197,1)}
       185:{2,4,5,7}:{(165,1),(166,1),(169,1),(177,1),(197,1),(198,1)}
       186:{2,5,6}:{(166,1),(178,1),(198,1),(209,1)}
       187:{1,4,6}:{(167,1),(168,1),(181,1),(196,1),(199,1),(208,1)}
       188:{3,5}:{(168,1),(169,1),(199,1)}
       189:{2,3,7}:{(170,1),(171,1),(174,1),(200,1)}
       190:{3,4,7}:{(171,1),(172,1),(175,1),(200,1),(201,1)}
       191:{1,4,5,7}:{(172,1),(173,1),(176,1),(177,1),(201,1),(202,1)}
       192:{1,5,6}:{(173,1),(178,1),(202,1),(208,1)}
       193:{2,4,6}:{(174,1),(175,1),(182,1),(200,1),(203,1),(209,1)}
       194:{3,5}:{(175,1),(176,1),(203,1)}
       195:{4,6}:{(177,1),(178,1)}
       196:{1,4,7}:{(183,1),(184,1),(187,1),(204,1)}
       197:{3,5,7}:{(184,1),(185,1),(188,1),(204,1),(205,1)}
       198:{2,4,6}:{(185,1),(186,1),(195,1),(205,1)}
       199:{1,5}:{(187,1),(188,1)}
       200:{2,4,7}:{(189,1),(190,1),(193,1),(206,1)}
       201:{3,5,7}:{(190,1),(191,1),(194,1),(206,1),(207,1)}
       202:{1,4,6}:{(191,1),(192,1),(195,1),(207,1)}
       203:{2,5}:{(193,1),(194,1)}
       204:{1,5,7}:{(196,1),(197,1),(199,1),(208,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{2,5,7}:{(200,1),(201,1),(203,1),(209,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{1,6}:{(204,1),(205,1)}
       209:{2,6}:{(206,1),(207,1)}

 632 :  0:{1,2,5,6}:{(2,1),(3,1),(4,1),(34,1),(35,1),(53,1),(54,1)}
        1:{1,2,4,5}:{(3,1),(5,1),(14,1),(21,1),(22,1),(23,1),(34,1),(35,1)}
        2:{3,5,6}:{(0,1),(6,1),(7,1),(8,1),(24,1),(47,1),(48,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(6,1),(8,1),(9,1),(26,1),(27,1),(30,1)}
        4:{1,2,5,7}:{(0,1),(7,1),(9,1),(10,1),(45,1),(46,1)}
        5:{3,5}:{(1,1),(8,1),(11,1)}
        6:{4,6}:{(2,1),(14,1),(16,1)}
        7:{3,5,7}:{(2,1),(4,1),(16,1),(17,1),(20,1),(41,1)}
        8:{3,6}:{(3,1),(5,1),(20,1)}
        9:{1,2,4,7}:{(3,1),(4,1),(16,1),(20,1),(39,1),(40,1),(42,1)}
       10:{1,2,6,7}:{(4,1),(17,1),(53,1),(54,1)}
       11:{3,4}:{(5,1),(21,1),(22,1),(43,1)}
       12:{1,3,5}:{(5,1),(18,1),(21,1),(23,1),(34,1),(43,1),(51,1)}
       13:{2,3,5}:{(5,1),(19,1),(22,1),(23,1),(35,1),(43,1),(51,1)}
       14:{4,5}:{(6,1),(24,1),(56,1)}
       15:{3,4,6}:{(6,1),(8,1),(11,1),(24,1),(26,1),(27,1),(28,1),(47,1),(49,1),(56,1),(61,1)}
       16:{4,7}:{(6,1),(7,1)}
       17:{3,6,7}:{(7,1),(10,1),(29,1),(47,1)}
       18:{1,3,6}:{(8,1),(12,1),(26,1),(30,1),(31,1),(49,1)}
       19:{2,3,6}:{(8,1),(13,1),(27,1),(30,1),(32,1),(49,1)}
       20:{3,7}:{(8,1),(9,1)}
       21:{1,4}:{(11,1),(12,1),(56,1)}
       22:{2,4}:{(11,1),(13,1),(56,1)}
       23:{1,2,5}:{(12,1),(13,1),(30,1),(33,1)}
       24:{3,5}:{(14,1),(15,1),(34,1),(35,1),(62,1)}
       25:{4,5,7}:{(14,1),(16,1),(36,1),(37,1),(41,1),(59,1),(62,1)}
       26:{1,4,6}:{(15,1),(18,1),(21,1),(34,1),(39,1),(53,1)}
       27:{2,4,6}:{(15,1),(19,1),(22,1),(35,1),(40,1),(54,1)}
       28:{3,4,7}:{(15,1),(16,1),(20,1),(36,1),(39,1),(40,1),(55,1),(59,1)}
       29:{4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
       30:{1,2,6}:{(18,1),(19,1),(23,1),(42,1)}
       31:{1,3,7}:{(18,1),(20,1),(39,1),(42,1),(55,1)}
       32:{2,3,7}:{(19,1),(20,1),(40,1),(42,1),(55,1)}
       33:{1,2,4}:{(21,1),(22,1),(23,1),(43,1)}
       34:{1,5}:{(24,1),(26,1)}
       35:{2,5}:{(24,1),(27,1)}
       36:{3,5,7}:{(24,1),(25,1),(28,1),(45,1),(46,1),(47,1)}
       37:{4,6}:{(25,1),(47,1),(48,1)}
       38:{1,2,4,6}:{(26,1),(27,1),(30,1),(33,1),(44,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       39:{1,4,7}:{(26,1),(28,1),(31,1),(45,1)}
       40:{2,4,7}:{(27,1),(28,1),(32,1),(46,1)}
       41:{5,7}:{(29,1),(48,1)}
       42:{1,2,7}:{(30,1),(31,1),(32,1)}
       43:{3}:{(33,1)}
       44:{1,2,5}:{(34,1),(35,1),(38,1),(51,1),(62,1)}
       45:{1,5,7}:{(34,1),(36,1),(39,1),(53,1)}
       46:{2,5,7}:{(35,1),(36,1),(40,1),(54,1)}
       47:{3,6}:{(36,1),(37,1),(53,1),(54,1)}
       48:{5,6}:{(37,1),(41,1),(62,1)}
       49:{3,6}:{(38,1),(43,1),(51,1),(55,1)}
       50:{1,2,4,7}:{(38,1),(39,1),(40,1),(42,1),(52,1),(55,1),(59,1)}
       51:{3,5}:{(44,1),(49,1),(56,1)}
       52:{1,2,5,7}:{(44,1),(45,1),(46,1),(50,1),(57,1),(58,1)}
       53:{1,6}:{(45,1),(47,1)}
       54:{2,6}:{(46,1),(47,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{4}:{(51,1)}
       57:{3,5,7}:{(51,1),(52,1),(55,1),(59,1),(60,1),(62,1)}
       58:{1,2,6}:{(52,1),(53,1),(54,1),(60,1)}
       59:{4,7}:{(56,1),(57,1),(61,1)}
       60:{3,6}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 633 :   0:{3,4,5,7}:{(1,1),(2,1),(3,1),(20,1),(28,1),(88,1),(91,1),(125,1),(129,1),(131,1),(142,1)}
         1:{1,4,5,7}:{(0,1),(8,1),(11,1),(42,1),(60,1),(94,1),(121,1),(156,1)}
         2:{2,4,5,7}:{(0,1),(9,1),(12,1),(43,1),(63,1),(97,1),(118,1),(152,1)}
         3:{3,4,6}:{(0,1),(11,1),(12,1),(13,1),(54,1),(113,1)}
         4:{1,3,4,7}:{(8,1),(14,1),(15,1),(53,1),(94,1),(151,1),(170,1),(194,1)}
         5:{2,3,4,7}:{(9,1),(16,1),(17,1),(53,1),(97,1),(155,1),(168,1),(198,1)}
         6:{3,4,6,7}:{(3,1),(18,1),(19,1),(20,1),(23,1),(68,1),(72,1),(73,1),(125,1),(129,1),(131,1)}
         7:{3,5,6,7}:{(20,1),(21,1),(22,1),(23,1),(72,1),(73,1)}
         8:{1,3,5,7}:{(1,1),(4,1),(24,1),(25,1),(28,1),(35,1),(147,1),(181,1),(205,1)}
         9:{2,3,5,7}:{(2,1),(5,1),(26,1),(27,1),(28,1),(38,1),(145,1),(177,1),(207,1)}
        10:{1,2,4,5,7}:{(1,1),(2,1),(24,1),(26,1),(28,1),(29,1),(69,1),(74,1),(78,1),(87,1),(90,1),(124,1),(128,1),(131,1),(134,1),(138,1),(142,1),(174,1),(179,1),(205,1),(207,1)}
        11:{1,4,6}:{(1,1),(3,1),(25,1),(30,1)}
        12:{2,4,6}:{(2,1),(3,1),(27,1),(31,1)}
        13:{3,5,6}:{(3,1),(20,1),(30,1),(31,1),(32,1)}
        14:{1,2,4,7}:{(4,1),(24,1),(33,1),(34,1),(74,1),(191,1)}
        15:{1,3,4,6}:{(4,1),(25,1),(34,1),(35,1),(77,1),(82,1),(136,1),(143,1),(185,1)}
        16:{1,2,4,7}:{(5,1),(26,1),(36,1),(37,1),(78,1),(190,1)}
        17:{2,3,4,6}:{(5,1),(27,1),(37,1),(38,1),(81,1),(82,1),(140,1),(146,1),(188,1)}
        18:{1,4,6,7}:{(6,1),(11,1),(39,1),(42,1),(94,1),(103,1),(156,1)}
        19:{2,4,6,7}:{(6,1),(12,1),(40,1),(43,1),(97,1),(102,1),(152,1)}
        20:{3,5,7}:{(6,1),(13,1),(42,1),(43,1),(44,1)}
        21:{1,5,6,7}:{(7,1),(42,1),(45,1),(103,1)}
        22:{2,5,6,7}:{(7,1),(43,1),(46,1),(102,1)}
        23:{4,6,7}:{(7,1),(44,1)}
        24:{1,2,5,7}:{(8,1),(14,1),(47,1),(48,1),(59,1),(172,1),(199,1)}
        25:{1,3,6}:{(8,1),(11,1),(48,1),(54,1),(208,1)}
        26:{1,2,5,7}:{(9,1),(16,1),(50,1),(51,1),(62,1),(169,1),(195,1)}
        27:{2,3,6}:{(9,1),(12,1),(51,1),(54,1),(209,1)}
        28:{3,5,7}:{(10,1),(53,1),(54,1),(112,1),(117,1),(120,1),(151,1),(155,1)}
        29:{1,2,4,6}:{(10,1),(11,1),(12,1),(48,1),(51,1),(54,1),(55,1),(104,1),(108,1),(113,1),(192,1),(196,1),(208,1),(209,1)}
        30:{1,5,6}:{(11,1),(13,1),(42,1)}
        31:{2,5,6}:{(12,1),(13,1),(43,1)}
        32:{4,5,6}:{(13,1),(44,1),(113,1)}
        33:{2,3,7}:{(14,1),(58,1),(151,1),(203,1)}
        34:{1,2,4,6}:{(14,1),(15,1),(48,1),(58,1),(59,1),(104,1),(116,1)}
        35:{1,3,5}:{(15,1),(59,1),(60,1),(112,1),(117,1),(200,1)}
        36:{1,3,7}:{(16,1),(61,1),(155,1),(202,1)}
        37:{1,2,4,6}:{(16,1),(17,1),(51,1),(61,1),(62,1),(108,1),(119,1)}
        38:{2,3,5}:{(17,1),(62,1),(63,1),(112,1),(120,1),(201,1)}
        39:{1,3,6,7}:{(18,1),(25,1),(64,1),(65,1),(68,1),(72,1),(181,1)}
        40:{2,3,6,7}:{(19,1),(27,1),(66,1),(67,1),(68,1),(73,1),(177,1)}
        41:{1,2,4,6,7}:{(18,1),(19,1),(29,1),(64,1),(66,1),(68,1),(69,1),(122,1),(124,1),(126,1),(128,1),(131,1)}
        42:{1,5,7}:{(18,1),(20,1),(30,1)}
        43:{2,5,7}:{(19,1),(20,1),(31,1)}
        44:{4,5,7}:{(20,1),(23,1),(32,1),(131,1)}
        45:{1,4,6,7}:{(21,1),(23,1),(70,1),(72,1)}
        46:{2,4,6,7}:{(22,1),(23,1),(71,1),(73,1)}
        47:{2,3,5,7}:{(24,1),(28,1),(33,1),(74,1),(75,1),(86,1),(134,1),(148,1),(182,1),(207,1)}
        48:{1,2,6}:{(24,1),(25,1),(75,1)}
        49:{1,3,5,6}:{(25,1),(30,1),(35,1),(65,1),(76,1),(77,1),(83,1),(84,1),(136,1)}
        50:{1,3,5,7}:{(26,1),(28,1),(36,1),(78,1),(79,1),(89,1),(138,1),(144,1),(176,1),(205,1)}
        51:{1,2,6}:{(26,1),(27,1),(79,1)}
        52:{2,3,5,6}:{(27,1),(31,1),(38,1),(67,1),(80,1),(81,1),(83,1),(85,1),(140,1)}
        53:{3,4,7}:{(28,1),(74,1),(78,1),(82,1),(131,1),(143,1),(146,1)}
        54:{3,6}:{(28,1),(29,1)}
        55:{1,2,5,6}:{(29,1),(30,1),(31,1),(69,1),(83,1),(134,1),(138,1),(173,1),(178,1)}
        56:{1,4,5,6}:{(30,1),(32,1),(70,1),(77,1),(84,1)}
        57:{2,4,5,6}:{(31,1),(32,1),(71,1),(81,1),(85,1)}
        58:{2,3,6}:{(33,1),(34,1),(86,1),(136,1)}
        59:{1,2,5}:{(34,1),(35,1),(86,1),(134,1)}
        60:{1,4,5}:{(35,1),(77,1),(88,1),(142,1)}
        61:{1,3,6}:{(36,1),(37,1),(89,1),(140,1)}
        62:{1,2,5}:{(37,1),(38,1),(89,1),(138,1)}
        63:{2,4,5}:{(38,1),(81,1),(91,1),(142,1)}
        64:{1,2,6,7}:{(39,1),(48,1),(92,1),(93,1),(102,1),(199,1),(208,1)}
        65:{1,3,5,7}:{(39,1),(42,1),(49,1),(93,1),(94,1),(99,1),(100,1),(151,1)}
        66:{1,2,6,7}:{(40,1),(51,1),(95,1),(96,1),(103,1),(195,1),(209,1)}
        67:{2,3,5,7}:{(40,1),(43,1),(52,1),(96,1),(97,1),(99,1),(101,1),(155,1)}
        68:{3,6,7}:{(41,1),(54,1),(99,1),(151,1),(155,1)}
        69:{1,2,5,7}:{(41,1),(42,1),(43,1),(55,1),(99,1),(149,1),(153,1)}
        70:{1,4,5,7}:{(42,1),(44,1),(45,1),(56,1),(94,1),(100,1)}
        71:{2,4,5,7}:{(43,1),(44,1),(46,1),(57,1),(97,1),(101,1)}
        72:{3,6,7}:{(45,1),(100,1),(102,1)}
        73:{3,6,7}:{(46,1),(101,1),(103,1)}
        74:{2,4,7}:{(47,1),(53,1),(104,1),(116,1),(171,1)}
        75:{2,3,6}:{(47,1),(48,1),(54,1),(104,1),(209,1)}
        76:{1,2,5,6}:{(48,1),(49,1),(59,1),(93,1),(105,1),(106,1),(114,1),(200,1),(208,1)}
        77:{1,4,6}:{(49,1),(60,1),(94,1),(107,1),(113,1)}
        78:{1,4,7}:{(50,1),(53,1),(108,1),(119,1),(167,1)}
        79:{1,3,6}:{(50,1),(51,1),(54,1),(108,1),(208,1)}
        80:{1,2,5,6}:{(51,1),(52,1),(62,1),(96,1),(109,1),(110,1),(115,1),(201,1),(209,1)}
        81:{2,4,6}:{(52,1),(63,1),(97,1),(111,1),(113,1)}
        82:{3,4,6}:{(53,1),(54,1),(104,1),(108,1),(112,1),(113,1)}
        83:{3,5,6}:{(54,1),(55,1),(99,1),(112,1),(113,1)}
        84:{3,5,6}:{(56,1),(100,1),(107,1),(114,1)}
        85:{3,5,6}:{(57,1),(101,1),(111,1),(115,1)}
        86:{2,3,5}:{(58,1),(59,1),(116,1),(117,1)}
        87:{1,2,4,5}:{(59,1),(60,1),(106,1),(116,1),(117,1),(118,1),(159,1),(167,1),(169,1),(200,1)}
        88:{3,4,5}:{(60,1),(107,1),(117,1),(118,1)}
        89:{1,3,5}:{(61,1),(62,1),(119,1),(120,1)}
        90:{1,2,4,5}:{(62,1),(63,1),(110,1),(119,1),(120,1),(121,1),(163,1),(171,1),(172,1),(201,1)}
        91:{3,4,5}:{(63,1),(111,1),(120,1),(121,1)}
        92:{2,3,6,7}:{(64,1),(68,1),(75,1),(122,1),(123,1),(182,1),(204,1)}
        93:{1,2,5,7}:{(64,1),(65,1),(76,1),(123,1),(124,1),(132,1),(205,1)}
        94:{1,4,7}:{(65,1),(77,1),(125,1),(131,1)}
        95:{1,3,6,7}:{(66,1),(68,1),(79,1),(126,1),(127,1),(176,1),(206,1)}
        96:{1,2,5,7}:{(66,1),(67,1),(80,1),(127,1),(128,1),(133,1),(207,1)}
        97:{2,4,7}:{(67,1),(81,1),(129,1),(131,1)}
        98:{3,4,6,7}:{(68,1),(82,1),(122,1),(126,1),(130,1),(131,1),(175,1),(180,1),(183,1),(204,1),(206,1)}
        99:{3,5,7}:{(68,1),(69,1),(83,1),(131,1)}
       100:{3,5,7}:{(70,1),(72,1),(84,1),(125,1),(132,1)}
       101:{3,5,7}:{(71,1),(73,1),(85,1),(129,1),(133,1)}
       102:{2,6,7}:{(72,1),(132,1)}
       103:{1,6,7}:{(73,1),(133,1)}
       104:{2,4,6}:{(74,1),(75,1),(82,1),(134,1)}
       105:{2,3,5,6}:{(75,1),(76,1),(83,1),(86,1),(123,1),(134,1),(135,1),(136,1),(173,1),(184,1),(204,1)}
       106:{1,2,4,6}:{(76,1),(77,1),(87,1),(124,1),(135,1),(136,1),(137,1),(185,1),(186,1)}
       107:{3,4,6}:{(77,1),(84,1),(88,1),(125,1),(136,1),(137,1)}
       108:{1,4,6}:{(78,1),(79,1),(82,1),(138,1)}
       109:{1,3,5,6}:{(79,1),(80,1),(83,1),(89,1),(127,1),(138,1),(139,1),(140,1),(178,1),(187,1),(206,1)}
       110:{1,2,4,6}:{(80,1),(81,1),(90,1),(128,1),(139,1),(140,1),(141,1),(188,1),(189,1)}
       111:{3,4,6}:{(81,1),(85,1),(91,1),(129,1),(140,1),(141,1)}
       112:{3,5}:{(82,1),(134,1),(138,1),(142,1)}
       113:{4,6}:{(83,1),(131,1),(142,1)}
       114:{2,5,6}:{(84,1),(132,1),(137,1)}
       115:{1,5,6}:{(85,1),(133,1),(141,1)}
       116:{2,4}:{(86,1),(143,1)}
       117:{3,5}:{(87,1),(136,1),(143,1)}
       118:{2,4,5}:{(88,1),(137,1),(145,1)}
       119:{1,4}:{(89,1),(146,1)}
       120:{3,5}:{(90,1),(140,1),(146,1)}
       121:{1,4,5}:{(91,1),(141,1),(147,1)}
       122:{2,4,6,7}:{(92,1),(98,1),(104,1),(149,1),(150,1),(192,1),(198,1),(209,1)}
       123:{2,3,5,7}:{(92,1),(93,1),(99,1),(105,1),(149,1),(150,1),(151,1),(193,1)}
       124:{1,2,4,7}:{(93,1),(94,1),(106,1),(150,1),(151,1),(152,1),(194,1),(195,1)}
       125:{3,4,7}:{(94,1),(100,1),(107,1),(151,1),(152,1)}
       126:{1,4,6,7}:{(95,1),(98,1),(108,1),(153,1),(154,1),(194,1),(196,1),(208,1)}
       127:{1,3,5,7}:{(95,1),(96,1),(99,1),(109,1),(153,1),(154,1),(155,1),(197,1)}
       128:{1,2,4,7}:{(96,1),(97,1),(110,1),(154,1),(155,1),(156,1),(198,1),(199,1)}
       129:{3,4,7}:{(97,1),(101,1),(111,1),(155,1),(156,1)}
       130:{3,5,7}:{(98,1),(112,1),(149,1),(153,1),(157,1),(158,1)}
       131:{4,7}:{(99,1),(113,1)}
       132:{2,5,7}:{(100,1),(102,1),(114,1),(152,1)}
       133:{1,5,7}:{(101,1),(103,1),(115,1),(156,1)}
       134:{2,5}:{(104,1),(112,1)}
       135:{2,4,6}:{(105,1),(113,1),(116,1),(150,1),(159,1),(160,1)}
       136:{3,6}:{(106,1),(117,1),(151,1)}
       137:{2,4,6}:{(107,1),(114,1),(118,1),(152,1),(162,1)}
       138:{1,5}:{(108,1),(112,1)}
       139:{1,4,6}:{(109,1),(113,1),(119,1),(154,1),(163,1),(164,1)}
       140:{3,6}:{(110,1),(120,1),(155,1)}
       141:{1,4,6}:{(111,1),(115,1),(121,1),(156,1),(165,1)}
       142:{4,5}:{(112,1),(113,1)}
       143:{3,4}:{(116,1),(117,1),(167,1)}
       144:{1,3,5}:{(117,1),(161,1),(167,1),(169,1),(200,1),(202,1)}
       145:{2,3,5}:{(117,1),(118,1),(162,1),(168,1),(169,1)}
       146:{3,4}:{(119,1),(120,1),(171,1)}
       147:{1,3,5}:{(120,1),(121,1),(165,1),(170,1),(172,1)}
       148:{2,3,5}:{(120,1),(166,1),(171,1),(172,1),(201,1),(203,1)}
       149:{2,5,7}:{(122,1),(130,1),(134,1),(173,1)}
       150:{2,4,7}:{(123,1),(131,1),(135,1),(175,1)}
       151:{3,7}:{(124,1),(136,1)}
       152:{2,4,7}:{(125,1),(132,1),(137,1),(177,1)}
       153:{1,5,7}:{(126,1),(130,1),(138,1),(178,1)}
       154:{1,4,7}:{(127,1),(131,1),(139,1),(180,1)}
       155:{3,7}:{(128,1),(140,1)}
       156:{1,4,7}:{(129,1),(133,1),(141,1),(181,1)}
       157:{3,5,6}:{(130,1),(173,1),(178,1),(183,1),(204,1),(206,1)}
       158:{4,5,7}:{(130,1),(131,1),(142,1),(183,1)}
       159:{2,4,5}:{(134,1),(135,1),(142,1),(184,1)}
       160:{3,4,6}:{(135,1),(136,1),(143,1),(175,1),(184,1),(185,1),(204,1)}
       161:{1,3,6}:{(136,1),(144,1),(176,1),(185,1),(186,1)}
       162:{2,3,6}:{(136,1),(137,1),(145,1),(177,1),(186,1)}
       163:{1,4,5}:{(138,1),(139,1),(142,1),(187,1)}
       164:{3,4,6}:{(139,1),(140,1),(146,1),(180,1),(187,1),(188,1),(206,1)}
       165:{1,3,6}:{(140,1),(141,1),(147,1),(181,1),(189,1)}
       166:{2,3,6}:{(140,1),(148,1),(182,1),(188,1),(189,1)}
       167:{1,4}:{(143,1),(144,1)}
       168:{2,3,4}:{(143,1),(145,1),(190,1)}
       169:{1,2,5}:{(144,1),(145,1),(186,1),(190,1)}
       170:{1,3,4}:{(146,1),(147,1),(191,1)}
       171:{2,4}:{(146,1),(148,1)}
       172:{1,2,5}:{(147,1),(148,1),(189,1),(191,1)}
       173:{2,5,6}:{(149,1),(157,1),(192,1),(209,1)}
       174:{2,4,5,7}:{(149,1),(150,1),(158,1),(159,1),(192,1),(193,1)}
       175:{3,4,7}:{(150,1),(151,1),(160,1),(193,1),(194,1)}
       176:{1,3,7}:{(151,1),(161,1),(194,1),(195,1)}
       177:{2,3,7}:{(151,1),(152,1),(162,1),(195,1)}
       178:{1,5,6}:{(153,1),(157,1),(196,1),(208,1)}
       179:{1,4,5,7}:{(153,1),(154,1),(158,1),(163,1),(196,1),(197,1)}
       180:{3,4,7}:{(154,1),(155,1),(164,1),(197,1),(198,1)}
       181:{1,3,7}:{(155,1),(156,1),(165,1),(199,1)}
       182:{2,3,7}:{(155,1),(166,1),(198,1),(199,1)}
       183:{4,6}:{(157,1),(158,1)}
       184:{3,5}:{(159,1),(160,1),(200,1)}
       185:{1,4,6}:{(160,1),(161,1),(167,1),(194,1),(200,1),(208,1)}
       186:{1,2,6}:{(161,1),(162,1),(169,1),(195,1)}
       187:{3,5}:{(163,1),(164,1),(201,1)}
       188:{2,4,6}:{(164,1),(166,1),(171,1),(198,1),(201,1),(209,1)}
       189:{1,2,6}:{(165,1),(166,1),(172,1),(199,1)}
       190:{1,2,4}:{(167,1),(168,1),(169,1),(202,1)}
       191:{1,2,4}:{(170,1),(171,1),(172,1),(203,1)}
       192:{2,4,6}:{(173,1),(174,1),(183,1),(204,1)}
       193:{3,5,7}:{(174,1),(175,1),(184,1),(204,1),(205,1)}
       194:{1,4,7}:{(175,1),(176,1),(185,1),(205,1)}
       195:{1,2,7}:{(176,1),(177,1),(186,1)}
       196:{1,4,6}:{(178,1),(179,1),(183,1),(206,1)}
       197:{3,5,7}:{(179,1),(180,1),(187,1),(206,1),(207,1)}
       198:{2,4,7}:{(180,1),(182,1),(188,1),(207,1)}
       199:{1,2,7}:{(181,1),(182,1),(189,1)}
       200:{1,5}:{(184,1),(185,1)}
       201:{2,5}:{(187,1),(188,1)}
       202:{1,3}:{(190,1)}
       203:{2,3}:{(191,1)}
       204:{3,6}:{(192,1),(193,1),(208,1)}
       205:{1,5,7}:{(193,1),(194,1),(200,1),(208,1)}
       206:{3,6}:{(196,1),(197,1),(209,1)}
       207:{2,5,7}:{(197,1),(198,1),(201,1),(209,1)}
       208:{1,6}:{(204,1),(205,1)}
       209:{2,6}:{(206,1),(207,1)}

 634 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(70,1),(71,1),(78,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(14,1),(35,1),(36,1),(41,1),(44,1),(46,1),(78,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(24,1),(82,1),(83,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(52,1),(53,1),(62,1),(64,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(49,1),(50,1)}
         5:{3,4,6,7}:{(2,1),(11,1),(15,1),(37,1),(41,1)}
         6:{1,2,5,7}:{(2,1),(11,1),(12,1),(94,1),(95,1)}
         7:{1,2,4,5}:{(4,1),(14,1),(39,1),(40,1),(44,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(15,1),(67,1),(68,1)}
         9:{3,4,6}:{(4,1),(14,1),(15,1),(41,1)}
        10:{1,2,4,5,6}:{(7,1),(19,1),(20,1),(24,1),(49,1),(50,1),(54,1),(55,1),(87,1),(88,1)}
        11:{3,5,7}:{(5,1),(6,1),(21,1),(22,1)}
        12:{1,2,5,6}:{(6,1),(21,1),(24,1),(87,1),(88,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(22,1),(24,1),(25,1),(57,1),(58,1),(62,1)}
        14:{3,5}:{(7,1),(9,1)}
        15:{3,4,7}:{(8,1),(9,1),(25,1)}
        16:{1,3,4,6}:{(9,1),(26,1),(28,1),(30,1),(49,1),(60,1),(85,1),(91,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(29,1),(30,1),(50,1),(61,1),(85,1),(91,1),(105,1)}
        18:{1,2,5,6,7}:{(12,1),(31,1),(33,1),(94,1),(95,1)}
        19:{1,2,4,5,7}:{(10,1),(33,1),(34,1),(65,1),(67,1),(68,1),(72,1),(94,1),(95,1)}
        20:{3,5,6}:{(10,1),(14,1),(32,1),(34,1),(41,1)}
        21:{3,5,6}:{(11,1),(12,1),(37,1),(41,1)}
        22:{4,5,7}:{(11,1),(37,1)}
        23:{3,4,5}:{(14,1),(32,1),(39,1),(40,1),(77,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(37,1),(41,1),(74,1),(75,1),(78,1)}
        25:{3,5,7}:{(13,1),(14,1),(15,1),(41,1)}
        26:{1,3,5}:{(14,1),(16,1),(39,1),(44,1),(77,1),(109,1)}
        27:{2,3,5}:{(14,1),(17,1),(40,1),(44,1),(77,1),(109,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(42,1),(45,1),(67,1),(97,1),(100,1)}
        29:{2,3,4,7}:{(15,1),(17,1),(43,1),(45,1),(68,1),(97,1),(100,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(44,1),(45,1),(46,1),(78,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(47,1),(51,1),(81,1)}
        32:{3,4,6}:{(20,1),(23,1),(48,1),(49,1),(50,1),(85,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(24,1),(47,1),(51,1),(82,1),(83,1),(86,1)}
        34:{3,5,7}:{(19,1),(20,1),(48,1),(51,1)}
        35:{1,3,5,6}:{(20,1),(26,1),(49,1),(52,1),(54,1),(60,1),(85,1),(87,1),(104,1)}
        36:{2,3,5,6}:{(20,1),(27,1),(50,1),(53,1),(54,1),(61,1),(85,1),(88,1),(104,1)}
        37:{4,6}:{(21,1),(22,1)}
        38:{3,4,5,7}:{(22,1),(23,1),(25,1),(48,1),(56,1),(57,1),(58,1),(81,1),(90,1),(110,1),(111,1)}
        39:{1,4,5}:{(23,1),(26,1),(49,1),(111,1)}
        40:{2,4,5}:{(23,1),(27,1),(50,1),(111,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(28,1),(57,1),(60,1),(62,1),(90,1)}
        43:{2,3,5,7}:{(25,1),(27,1),(29,1),(58,1),(61,1),(62,1),(90,1)}
        44:{1,2,5}:{(26,1),(27,1),(30,1)}
        45:{1,2,4,7}:{(28,1),(29,1),(30,1),(62,1),(64,1)}
        46:{1,2,3,6}:{(30,1),(63,1),(64,1),(85,1)}
        47:{4,6,7}:{(31,1),(37,1),(65,1)}
        48:{3,4,7}:{(32,1),(34,1),(67,1),(68,1),(97,1)}
        49:{1,4,6}:{(32,1),(35,1),(39,1),(67,1),(108,1)}
        50:{2,4,6}:{(32,1),(36,1),(40,1),(68,1),(108,1)}
        51:{3,6,7}:{(33,1),(34,1),(41,1)}
        52:{1,3,5,7}:{(34,1),(35,1),(67,1),(70,1),(72,1),(94,1),(97,1),(107,1)}
        53:{2,3,5,7}:{(34,1),(36,1),(68,1),(71,1),(72,1),(95,1),(97,1),(107,1)}
        54:{1,2,5,6}:{(35,1),(36,1),(44,1),(69,1),(72,1),(78,1)}
        55:{4,5,6}:{(37,1),(65,1),(73,1),(108,1)}
        56:{3,4,6}:{(37,1),(38,1),(41,1),(73,1),(74,1),(75,1),(99,1),(108,1)}
        57:{1,4,5,7}:{(38,1),(39,1),(42,1),(67,1),(74,1),(94,1)}
        58:{2,4,5,7}:{(38,1),(40,1),(43,1),(68,1),(75,1),(95,1)}
        59:{1,2,4,5}:{(39,1),(40,1),(44,1),(69,1),(77,1),(80,1)}
        60:{1,3,6}:{(41,1),(42,1),(74,1),(78,1),(99,1)}
        61:{2,3,6}:{(41,1),(43,1),(75,1),(78,1),(99,1)}
        62:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(78,1)}
        63:{1,2,3,5}:{(44,1),(46,1),(77,1),(80,1)}
        64:{1,2,3,7}:{(45,1),(46,1),(97,1)}
        65:{4,5,7}:{(47,1),(55,1),(81,1),(110,1)}
        66:{3,4,6,7}:{(47,1),(48,1),(51,1),(56,1),(81,1),(82,1),(83,1),(103,1),(110,1)}
        67:{1,4,7}:{(48,1),(49,1),(52,1),(110,1)}
        68:{2,4,7}:{(48,1),(50,1),(53,1),(110,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(54,1),(59,1),(84,1),(85,1)}
        70:{1,3,6,7}:{(51,1),(52,1),(60,1),(82,1),(86,1),(103,1)}
        71:{2,3,6,7}:{(51,1),(53,1),(61,1),(83,1),(86,1),(103,1)}
        72:{1,2,5,7}:{(52,1),(53,1),(54,1),(84,1),(86,1)}
        73:{3,5,6}:{(55,1),(56,1),(81,1),(87,1),(88,1)}
        74:{1,4,6}:{(56,1),(57,1),(60,1),(87,1)}
        75:{2,4,6}:{(56,1),(58,1),(61,1),(88,1)}
        76:{1,2,4,5,7}:{(57,1),(58,1),(59,1),(62,1),(84,1),(89,1),(90,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        77:{3,5}:{(59,1),(85,1),(91,1)}
        78:{1,2,6}:{(60,1),(61,1),(62,1)}
        79:{1,2,3,5,7}:{(62,1),(63,1),(64,1),(90,1),(92,1),(93,1),(106,1)}
        80:{1,2,4}:{(63,1),(91,1)}
        81:{3,5,7}:{(65,1),(66,1),(73,1),(94,1),(95,1)}
        82:{1,4,6,7}:{(66,1),(67,1),(70,1),(74,1),(94,1)}
        83:{2,4,6,7}:{(66,1),(68,1),(71,1),(75,1),(95,1)}
        84:{1,2,4,7}:{(67,1),(68,1),(69,1),(72,1),(97,1)}
        85:{3,6}:{(69,1),(77,1),(97,1)}
        86:{1,2,6,7}:{(70,1),(71,1),(72,1),(78,1)}
        87:{1,5,6}:{(73,1),(74,1),(94,1)}
        88:{2,5,6}:{(73,1),(75,1),(95,1)}
        89:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(98,1),(99,1),(108,1)}
        90:{3,5,7}:{(76,1),(77,1),(97,1),(99,1),(100,1),(109,1)}
        91:{3,4}:{(77,1),(80,1)}
        92:{1,2,3,6}:{(78,1),(79,1),(99,1),(101,1)}
        93:{1,2,4,7}:{(79,1),(80,1),(100,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(87,1)}
        95:{2,5,7}:{(81,1),(83,1),(88,1)}
        96:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(86,1),(89,1),(102,1),(103,1),(110,1)}
        97:{3,7}:{(84,1),(85,1)}
        98:{1,2,5,6}:{(87,1),(88,1),(89,1),(102,1),(104,1),(106,1)}
        99:{3,6}:{(89,1),(90,1)}
       100:{3,4,7}:{(90,1),(91,1),(93,1),(105,1),(110,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(98,1),(107,1)}
       103:{3,6,7}:{(96,1),(97,1),(99,1),(107,1)}
       104:{3,5,6}:{(98,1),(99,1),(107,1),(108,1),(109,1)}
       105:{3,4,6}:{(99,1),(100,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(104,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

 635 :   0:{1,3,5,6,7}:{(2,1),(3,1),(11,1),(13,1),(36,1),(40,1),(86,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(11,1),(17,1),(37,1),(48,1),(80,1)}
         2:{1,2,5,6,7}:{(0,1),(1,1),(5,1),(27,1),(31,1),(58,1),(61,1),(67,1)}
         3:{1,4,6,7}:{(0,1),(6,1),(7,1),(56,1),(59,1),(105,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(9,1),(57,1),(66,1),(100,1)}
         5:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(10,1),(11,1),(15,1),(18,1),(38,1),(77,1),(79,1),(85,1)}
         6:{1,4,5,7}:{(3,1),(12,1),(13,1),(122,1)}
         7:{3,4,6,7}:{(3,1),(11,1),(13,1),(15,1),(35,1),(39,1),(121,1)}
         8:{2,4,5,7}:{(4,1),(16,1),(17,1),(118,1)}
         9:{3,4,6,7}:{(4,1),(11,1),(17,1),(18,1),(35,1),(46,1),(117,1)}
        10:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(20,1),(21,1),(27,1),(31,1),(56,1),(57,1),(58,1)}
        11:{3,6,7}:{(5,1),(21,1),(97,1),(99,1),(104,1)}
        12:{1,4,5,6}:{(6,1),(24,1),(59,1)}
        13:{3,5,7}:{(6,1),(7,1),(24,1),(27,1),(132,1)}
        14:{1,3,4,6,7}:{(7,1),(22,1),(26,1),(28,1),(56,1),(59,1),(92,1),(97,1),(99,1),(102,1),(129,1)}
        15:{2,4,6,7}:{(7,1),(23,1),(27,1),(57,1),(60,1),(131,1)}
        16:{2,4,5,6}:{(8,1),(29,1),(66,1)}
        17:{3,5,7}:{(8,1),(9,1),(29,1),(31,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(22,1),(31,1),(56,1),(65,1),(129,1)}
        19:{2,3,4,6,7}:{(9,1),(23,1),(32,1),(33,1),(57,1),(66,1),(93,1),(97,1),(104,1),(107,1),(131,1)}
        20:{1,2,4,5,6}:{(10,1),(12,1),(16,1),(34,1),(41,1),(47,1),(72,1),(73,1),(74,1),(79,1),(85,1),(110,1),(118,1),(122,1),(136,1),(137,1)}
        21:{3,5,7}:{(10,1),(11,1),(34,1),(35,1)}
        22:{1,3,6,7}:{(11,1),(18,1),(36,1),(38,1),(84,1),(116,1)}
        23:{2,3,6,7}:{(11,1),(15,1),(37,1),(38,1),(78,1),(120,1)}
        24:{3,5,6}:{(12,1),(13,1),(39,1),(41,1)}
        25:{3,4,5,7}:{(13,1),(35,1),(39,1),(42,1),(43,1),(71,1),(82,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(40,1),(42,1),(44,1),(82,1),(108,1),(136,1)}
        27:{2,5,7}:{(13,1),(15,1),(41,1),(137,1)}
        28:{1,2,4,6,7}:{(14,1),(15,1),(38,1),(44,1),(45,1),(77,1),(79,1),(83,1),(111,1)}
        29:{3,5,6}:{(16,1),(17,1),(46,1),(47,1)}
        30:{3,4,5,7}:{(17,1),(35,1),(46,1),(49,1),(50,1),(71,1),(88,1)}
        31:{1,5,7}:{(17,1),(18,1),(47,1),(136,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(48,1),(50,1),(51,1),(88,1),(109,1),(137,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(38,1),(51,1),(52,1),(77,1),(85,1),(89,1),(112,1)}
        34:{3,5,6}:{(20,1),(21,1),(53,1),(99,1),(104,1),(126,1),(130,1),(132,1)}
        35:{3,4,7}:{(21,1),(53,1),(56,1),(57,1),(97,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(31,1),(54,1),(56,1),(58,1),(97,1)}
        37:{2,3,5,7}:{(21,1),(23,1),(27,1),(55,1),(57,1),(58,1),(97,1)}
        38:{1,2,6,7}:{(22,1),(23,1),(58,1),(98,1),(103,1)}
        39:{3,4,6}:{(24,1),(25,1),(59,1),(60,1),(99,1)}
        40:{1,3,5,6}:{(24,1),(26,1),(59,1),(61,1),(99,1)}
        41:{2,5,6}:{(24,1),(27,1),(60,1)}
        42:{1,4,5,7}:{(25,1),(26,1),(56,1),(59,1),(90,1)}
        43:{2,4,5,7}:{(25,1),(27,1),(57,1),(60,1),(62,1),(91,1)}
        44:{1,2,5,7}:{(26,1),(27,1),(28,1),(61,1),(64,1),(124,1)}
        45:{2,3,6,7}:{(28,1),(64,1),(97,1),(99,1),(127,1)}
        46:{3,4,6}:{(29,1),(30,1),(65,1),(66,1),(104,1)}
        47:{1,5,6}:{(29,1),(31,1),(65,1)}
        48:{2,3,5,6}:{(29,1),(32,1),(66,1),(67,1),(104,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(56,1),(65,1),(68,1),(90,1)}
        50:{2,4,5,7}:{(30,1),(32,1),(57,1),(66,1),(91,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(67,1),(70,1),(125,1)}
        52:{1,3,6,7}:{(33,1),(70,1),(97,1),(104,1),(128,1)}
        53:{3,4,6}:{(34,1),(35,1),(71,1),(72,1),(73,1),(113,1),(135,1)}
        54:{1,3,5,6}:{(34,1),(36,1),(47,1),(72,1),(74,1),(84,1),(108,1),(113,1),(116,1),(134,1),(136,1)}
        55:{2,3,5,6}:{(34,1),(37,1),(41,1),(73,1),(74,1),(78,1),(109,1),(113,1),(120,1),(133,1),(137,1)}
        56:{1,4,7}:{(35,1),(36,1),(72,1)}
        57:{2,4,7}:{(35,1),(37,1),(73,1)}
        58:{1,2,5,7}:{(36,1),(37,1),(38,1),(74,1),(77,1)}
        59:{1,4,6}:{(39,1),(40,1),(42,1)}
        60:{2,4,6}:{(39,1),(41,1),(43,1),(78,1)}
        61:{1,2,5,6}:{(40,1),(41,1),(44,1),(79,1),(80,1),(136,1)}
        62:{2,3,5,7}:{(43,1),(76,1),(78,1),(81,1),(82,1),(109,1)}
        63:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(77,1),(79,1),(81,1),(82,1),(83,1),(110,1),(118,1),(119,1),(136,1)}
        64:{2,3,5,7}:{(44,1),(45,1),(80,1),(82,1),(83,1),(133,1)}
        65:{1,4,6}:{(46,1),(47,1),(49,1),(84,1)}
        66:{2,4,6}:{(46,1),(48,1),(50,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(51,1),(85,1),(86,1),(137,1)}
        68:{1,3,5,7}:{(49,1),(75,1),(84,1),(87,1),(88,1),(108,1)}
        69:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(77,1),(85,1),(87,1),(88,1),(89,1),(110,1),(122,1),(123,1),(137,1)}
        70:{1,3,5,7}:{(51,1),(52,1),(86,1),(88,1),(89,1),(134,1)}
        71:{3,4,5}:{(53,1),(90,1),(91,1),(126,1),(130,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(56,1),(90,1),(139,1)}
        73:{2,4,6}:{(53,1),(55,1),(57,1),(91,1),(138,1)}
        74:{1,2,5,6}:{(54,1),(55,1),(58,1),(94,1),(98,1),(103,1),(124,1),(125,1)}
        75:{1,3,4,7}:{(56,1),(68,1),(92,1),(95,1),(97,1),(107,1)}
        76:{2,3,4,7}:{(57,1),(62,1),(93,1),(96,1),(97,1),(102,1)}
        77:{1,2,4,7}:{(56,1),(57,1),(58,1),(94,1),(97,1)}
        78:{2,3,6}:{(60,1),(62,1),(98,1),(99,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(63,1),(98,1),(99,1),(100,1),(129,1)}
        80:{2,3,5,6}:{(61,1),(64,1),(99,1),(100,1),(130,1)}
        81:{1,2,5,7}:{(62,1),(96,1),(98,1),(101,1),(125,1)}
        82:{3,5,7}:{(63,1),(97,1),(99,1),(102,1),(126,1),(130,1)}
        83:{2,4,7}:{(64,1),(100,1),(102,1),(138,1)}
        84:{1,3,6}:{(65,1),(68,1),(103,1),(104,1)}
        85:{1,2,4,6}:{(65,1),(66,1),(67,1),(69,1),(103,1),(104,1),(105,1),(131,1)}
        86:{1,3,5,6}:{(67,1),(70,1),(104,1),(105,1),(132,1)}
        87:{1,2,5,7}:{(68,1),(95,1),(103,1),(106,1),(124,1)}
        88:{3,5,7}:{(69,1),(97,1),(104,1),(107,1),(126,1),(132,1)}
        89:{1,4,7}:{(70,1),(105,1),(107,1),(139,1)}
        90:{1,4,5}:{(71,1),(72,1),(108,1),(136,1)}
        91:{2,4,5}:{(71,1),(73,1),(109,1),(137,1)}
        92:{1,3,4,6}:{(72,1),(75,1),(84,1),(108,1),(111,1),(113,1),(121,1),(135,1)}
        93:{2,3,4,6}:{(73,1),(76,1),(78,1),(109,1),(112,1),(113,1),(117,1),(135,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(77,1),(110,1),(113,1)}
        95:{1,2,4,7}:{(75,1),(87,1),(111,1),(114,1),(123,1)}
        96:{1,2,4,7}:{(76,1),(81,1),(112,1),(115,1),(119,1)}
        97:{3,7}:{(77,1),(113,1)}
        98:{1,2,6}:{(78,1),(81,1),(116,1)}
        99:{3,6}:{(79,1),(82,1)}
       100:{2,4,6}:{(80,1),(83,1),(117,1),(118,1)}
       101:{1,3,5,7}:{(81,1),(82,1),(115,1),(116,1),(119,1),(134,1),(136,1)}
       102:{3,4,7}:{(82,1),(83,1),(117,1),(119,1),(135,1)}
       103:{1,2,6}:{(84,1),(87,1),(120,1)}
       104:{3,6}:{(85,1),(88,1)}
       105:{1,4,6}:{(86,1),(89,1),(121,1),(122,1)}
       106:{2,3,5,7}:{(87,1),(88,1),(114,1),(120,1),(123,1),(133,1),(137,1)}
       107:{3,4,7}:{(88,1),(89,1),(121,1),(123,1),(135,1)}
       108:{1,3,5}:{(90,1),(92,1),(124,1),(126,1),(132,1)}
       109:{2,3,5}:{(91,1),(93,1),(125,1),(126,1),(130,1)}
       110:{1,2,4,5}:{(90,1),(91,1),(94,1),(124,1),(125,1),(126,1),(138,1),(139,1)}
       111:{1,2,4,6}:{(92,1),(95,1),(103,1),(124,1),(127,1),(131,1),(138,1)}
       112:{1,2,4,6}:{(93,1),(96,1),(98,1),(125,1),(128,1),(129,1),(139,1)}
       113:{3,6}:{(94,1),(97,1),(126,1)}
       114:{2,3,7}:{(95,1),(97,1),(127,1)}
       115:{1,3,7}:{(96,1),(97,1),(128,1)}
       116:{1,3,6}:{(98,1),(99,1),(101,1),(129,1)}
       117:{3,4,6}:{(99,1),(100,1),(102,1),(129,1),(130,1)}
       118:{2,4,5}:{(100,1),(130,1)}
       119:{1,4,7}:{(101,1),(102,1),(129,1),(139,1)}
       120:{2,3,6}:{(103,1),(104,1),(106,1),(131,1)}
       121:{3,4,6}:{(104,1),(105,1),(107,1),(131,1),(132,1)}
       122:{1,4,5}:{(105,1),(132,1)}
       123:{2,4,7}:{(106,1),(107,1),(131,1),(138,1)}
       124:{1,2,5}:{(108,1),(111,1),(133,1),(137,1)}
       125:{1,2,5}:{(109,1),(112,1),(134,1),(136,1)}
       126:{3,5}:{(110,1),(113,1),(135,1)}
       127:{2,3,6}:{(111,1),(113,1),(114,1),(133,1)}
       128:{1,3,6}:{(112,1),(113,1),(115,1),(134,1)}
       129:{1,4,6}:{(116,1),(117,1),(119,1),(136,1)}
       130:{3,5}:{(117,1),(118,1),(136,1)}
       131:{2,4,6}:{(120,1),(121,1),(123,1),(137,1)}
       132:{3,5}:{(121,1),(122,1),(137,1)}
       133:{2,3,5}:{(124,1),(126,1),(127,1),(138,1)}
       134:{1,3,5}:{(125,1),(126,1),(128,1),(139,1)}
       135:{3,4}:{(126,1),(138,1),(139,1)}
       136:{1,5}:{(129,1),(130,1)}
       137:{2,5}:{(131,1),(132,1)}
       138:{2,4}:{(133,1),(135,1)}
       139:{1,4}:{(134,1),(135,1)}

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

 637 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(9,1),(12,1),(30,1),(32,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(50,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(21,1),(48,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(72,1),(79,1)}
         4:{1,2,4,5,7}:{(1,1),(9,1),(11,1),(12,1),(27,1),(28,1),(30,1),(39,1),(40,1),(71,1),(79,1),(112,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1)}
         6:{1,2,3,7}:{(15,1),(16,1),(129,1),(133,1),(146,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(17,1),(18,1),(41,1),(94,1),(95,1),(129,1)}
         8:{1,3,4,7}:{(3,1),(15,1),(19,1),(20,1),(41,1),(93,1),(98,1),(129,1)}
         9:{3,5,7}:{(3,1),(4,1),(21,1),(22,1),(92,1),(129,1)}
        10:{3,4,6}:{(3,1),(5,1),(21,1),(22,1),(58,1)}
        11:{1,2,4,6}:{(4,1),(21,1),(24,1),(44,1),(45,1),(48,1),(58,1)}
        12:{1,2,5}:{(5,1),(22,1)}
        13:{1,2,3,5,7}:{(6,1),(25,1),(26,1),(30,1),(32,1),(59,1),(62,1)}
        14:{3,4,5,7}:{(9,1),(27,1),(28,1),(29,1),(39,1),(59,1),(67,1),(75,1),(78,1),(79,1),(103,1),(117,1),(119,1),(136,1)}
        15:{1,2,4,7}:{(6,1),(7,1),(8,1),(30,1),(31,1),(116,1)}
        16:{1,2,3,6}:{(6,1),(31,1),(32,1),(113,1),(143,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(27,1),(30,1),(33,1),(34,1),(59,1),(115,1),(142,1)}
        18:{2,3,4,6}:{(7,1),(10,1),(31,1),(33,1),(34,1),(60,1),(72,1),(74,1),(113,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(28,1),(30,1),(35,1),(36,1),(59,1),(114,1),(141,1)}
        20:{1,3,4,6}:{(8,1),(10,1),(31,1),(35,1),(36,1),(60,1),(72,1),(77,1),(113,1)}
        21:{3,6}:{(9,1),(11,1)}
        22:{3,5}:{(10,1),(12,1),(39,1)}
        23:{1,2,4,6,7}:{(11,1),(37,1),(40,1),(63,1),(65,1),(69,1),(79,1),(112,1)}
        24:{1,2,5,6}:{(11,1),(12,1),(38,1),(40,1),(64,1),(66,1)}
        25:{1,2,4,7}:{(13,1),(41,1),(43,1),(50,1)}
        26:{1,2,3,6}:{(13,1),(43,1),(48,1),(80,1)}
        27:{2,4,5,7}:{(14,1),(17,1),(44,1),(53,1),(84,1),(95,1),(100,1),(135,1)}
        28:{1,4,5,7}:{(14,1),(19,1),(45,1),(56,1),(86,1),(97,1),(98,1),(134,1)}
        29:{3,4,6}:{(14,1),(21,1),(44,1),(45,1),(47,1),(58,1),(80,1),(122,1)}
        30:{1,2,5,7}:{(15,1),(17,1),(19,1),(48,1),(49,1),(132,1),(146,1)}
        31:{1,2,4,6}:{(15,1),(16,1),(18,1),(20,1),(48,1),(49,1),(50,1)}
        32:{1,2,3,5}:{(16,1),(49,1),(50,1),(92,1),(132,1),(133,1)}
        33:{2,3,6}:{(17,1),(21,1),(44,1),(48,1),(80,1)}
        34:{2,3,5}:{(18,1),(22,1),(49,1),(53,1),(81,1),(92,1)}
        35:{1,3,6}:{(19,1),(21,1),(45,1),(48,1),(80,1)}
        36:{1,3,5}:{(20,1),(22,1),(49,1),(56,1),(81,1),(92,1)}
        37:{3,6,7}:{(21,1),(23,1),(57,1),(129,1)}
        38:{3,5,6}:{(21,1),(22,1),(24,1),(57,1),(58,1)}
        39:{4,5}:{(22,1),(58,1)}
        40:{1,2,5,7}:{(23,1),(24,1),(57,1),(84,1),(86,1)}
        41:{3,4,7}:{(25,1),(59,1),(60,1),(72,1),(136,1)}
        42:{1,2,4,5,7}:{(25,1),(27,1),(28,1),(30,1),(59,1),(61,1),(62,1),(71,1),(103,1),(104,1),(112,1),(136,1)}
        43:{1,2,4,6}:{(25,1),(26,1),(60,1),(62,1)}
        44:{2,4,6}:{(27,1),(29,1),(33,1),(64,1)}
        45:{1,4,6}:{(28,1),(29,1),(35,1),(66,1)}
        46:{3,4,6,7}:{(29,1),(37,1),(63,1),(65,1),(67,1),(79,1),(101,1),(111,1),(117,1),(119,1),(136,1),(137,1),(139,1)}
        47:{3,5,6}:{(29,1),(64,1),(66,1),(67,1),(68,1)}
        48:{1,2,6}:{(30,1),(33,1),(35,1)}
        49:{1,2,5}:{(31,1),(34,1),(36,1)}
        50:{1,2,4}:{(32,1),(72,1)}
        51:{2,3,6,7}:{(33,1),(37,1),(63,1),(69,1),(73,1),(101,1),(137,1),(142,1)}
        52:{2,3,5,6}:{(33,1),(34,1),(38,1),(64,1),(70,1),(73,1),(74,1),(102,1),(107,1),(113,1)}
        53:{2,4,5}:{(34,1),(39,1),(74,1),(75,1),(103,1)}
        54:{1,3,6,7}:{(35,1),(37,1),(65,1),(69,1),(76,1),(101,1),(139,1),(141,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(38,1),(66,1),(70,1),(76,1),(77,1),(102,1),(110,1),(113,1)}
        56:{1,4,5}:{(36,1),(39,1),(77,1),(78,1),(103,1)}
        57:{3,5,7}:{(37,1),(38,1),(40,1),(79,1)}
        58:{4,6}:{(38,1),(39,1),(79,1)}
        59:{3,5,7}:{(41,1),(42,1),(80,1),(81,1),(92,1),(129,1)}
        60:{3,4,6}:{(41,1),(43,1),(80,1),(81,1),(122,1)}
        61:{1,2,4,6}:{(42,1),(44,1),(45,1),(48,1),(80,1),(83,1),(122,1)}
        62:{1,2,5}:{(43,1),(81,1)}
        63:{2,4,6,7}:{(44,1),(46,1),(51,1),(84,1),(95,1),(135,1),(145,1)}
        64:{2,5,6}:{(44,1),(47,1),(84,1)}
        65:{1,4,6,7}:{(45,1),(46,1),(54,1),(86,1),(98,1),(134,1),(144,1)}
        66:{1,5,6}:{(45,1),(47,1),(86,1)}
        67:{3,5,7}:{(46,1),(47,1),(84,1),(86,1),(89,1)}
        68:{4,5,6}:{(47,1),(58,1),(89,1),(122,1)}
        69:{1,2,6,7}:{(48,1),(51,1),(54,1),(90,1),(144,1),(145,1),(146,1)}
        70:{1,2,5,6}:{(48,1),(49,1),(52,1),(55,1),(90,1),(91,1),(125,1),(128,1)}
        71:{1,2,4,5}:{(49,1),(50,1),(53,1),(56,1),(91,1),(92,1),(97,1),(100,1),(132,1)}
        72:{3,4}:{(50,1),(92,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(57,1),(84,1),(90,1),(95,1),(121,1),(124,1),(129,1)}
        74:{2,4,6}:{(52,1),(53,1),(58,1),(95,1),(96,1),(122,1)}
        75:{3,4,5}:{(53,1),(92,1),(96,1),(97,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(57,1),(86,1),(90,1),(98,1),(121,1),(127,1),(129,1)}
        77:{1,4,6}:{(55,1),(56,1),(58,1),(98,1),(99,1),(122,1)}
        78:{3,4,5}:{(56,1),(92,1),(99,1),(100,1)}
        79:{4,7}:{(57,1),(58,1)}
        80:{3,6}:{(59,1),(61,1)}
        81:{3,5}:{(60,1),(62,1),(103,1)}
        82:{1,2,4,6,7}:{(61,1),(63,1),(65,1),(69,1),(101,1),(104,1),(112,1),(136,1)}
        83:{1,2,5,6}:{(61,1),(62,1),(64,1),(66,1),(102,1),(104,1)}
        84:{2,5,7}:{(63,1),(64,1),(67,1)}
        85:{2,4,5,6}:{(64,1),(68,1),(74,1),(106,1),(107,1)}
        86:{1,5,7}:{(65,1),(66,1),(67,1)}
        87:{1,4,5,6}:{(66,1),(68,1),(77,1),(109,1),(110,1)}
        88:{3,5,6,7}:{(67,1),(105,1),(108,1),(111,1),(137,1),(139,1)}
        89:{4,5,7}:{(67,1),(68,1),(79,1),(111,1),(136,1)}
        90:{1,2,5,7}:{(69,1),(70,1),(73,1),(76,1),(112,1),(138,1),(140,1)}
        91:{1,2,4,6}:{(70,1),(71,1),(74,1),(77,1),(112,1),(113,1),(118,1),(120,1),(143,1)}
        92:{3,5}:{(71,1),(72,1),(113,1)}
        93:{1,3,4}:{(72,1),(114,1),(116,1)}
        94:{2,3,4}:{(72,1),(115,1),(116,1)}
        95:{2,4,7}:{(73,1),(74,1),(79,1),(117,1),(136,1)}
        96:{3,4,6}:{(74,1),(75,1),(107,1),(113,1),(117,1),(118,1)}
        97:{1,4,5}:{(75,1),(114,1),(118,1)}
        98:{1,4,7}:{(76,1),(77,1),(79,1),(119,1),(136,1)}
        99:{3,4,6}:{(77,1),(78,1),(110,1),(113,1),(119,1),(120,1)}
       100:{2,4,5}:{(78,1),(115,1),(120,1)}
       101:{3,6,7}:{(80,1),(82,1),(121,1),(129,1)}
       102:{3,5,6}:{(80,1),(81,1),(83,1),(121,1),(122,1)}
       103:{4,5}:{(81,1),(122,1)}
       104:{1,2,5,7}:{(82,1),(83,1),(84,1),(86,1),(121,1)}
       105:{2,5,6,7}:{(84,1),(88,1),(123,1),(145,1)}
       106:{2,4,5,7}:{(84,1),(85,1),(89,1),(95,1),(123,1),(124,1)}
       107:{3,5,6}:{(85,1),(96,1),(124,1),(125,1)}
       108:{1,5,6,7}:{(86,1),(88,1),(126,1),(144,1)}
       109:{1,4,5,7}:{(86,1),(87,1),(89,1),(98,1),(126,1),(127,1)}
       110:{3,5,6}:{(87,1),(99,1),(127,1),(128,1)}
       111:{4,6,7}:{(88,1),(89,1)}
       112:{1,2,4,7}:{(90,1),(91,1),(95,1),(98,1),(129,1),(134,1),(135,1),(146,1)}
       113:{3,6}:{(91,1),(92,1),(129,1)}
       114:{1,3,5}:{(92,1),(93,1),(97,1),(130,1),(132,1)}
       115:{2,3,5}:{(92,1),(94,1),(100,1),(131,1),(132,1)}
       116:{1,2,4}:{(93,1),(94,1),(132,1),(133,1)}
       117:{3,4,7}:{(95,1),(96,1),(124,1),(129,1),(134,1)}
       118:{1,4,6}:{(96,1),(97,1),(125,1),(130,1),(134,1)}
       119:{3,4,7}:{(98,1),(99,1),(127,1),(129,1),(135,1)}
       120:{2,4,6}:{(99,1),(100,1),(128,1),(131,1),(135,1)}
       121:{3,5,7}:{(101,1),(102,1),(104,1),(136,1)}
       122:{4,6}:{(102,1),(103,1),(136,1)}
       123:{2,4,6,7}:{(105,1),(106,1),(111,1),(137,1)}
       124:{3,5,7}:{(106,1),(107,1),(117,1),(137,1),(138,1)}
       125:{1,5,6}:{(107,1),(118,1),(138,1)}
       126:{1,4,6,7}:{(108,1),(109,1),(111,1),(139,1)}
       127:{3,5,7}:{(109,1),(110,1),(119,1),(139,1),(140,1)}
       128:{2,5,6}:{(110,1),(120,1),(140,1)}
       129:{3,7}:{(112,1),(113,1)}
       130:{1,3,6}:{(113,1),(114,1),(118,1),(141,1),(143,1)}
       131:{2,3,6}:{(113,1),(115,1),(120,1),(142,1),(143,1)}
       132:{1,2,5}:{(114,1),(115,1),(116,1),(143,1)}
       133:{1,2,3}:{(116,1)}
       134:{1,4,7}:{(117,1),(118,1),(138,1),(141,1)}
       135:{2,4,7}:{(119,1),(120,1),(140,1),(142,1)}
       136:{4,7}:{(121,1),(122,1)}
       137:{3,6,7}:{(123,1),(124,1),(144,1)}
       138:{1,5,7}:{(124,1),(125,1),(134,1),(144,1)}
       139:{3,6,7}:{(126,1),(127,1),(145,1)}
       140:{2,5,7}:{(127,1),(128,1),(135,1),(145,1)}
       141:{1,3,7}:{(129,1),(130,1),(134,1),(146,1)}
       142:{2,3,7}:{(129,1),(131,1),(135,1),(146,1)}
       143:{1,2,6}:{(130,1),(131,1),(132,1),(146,1)}
       144:{1,6,7}:{(137,1),(138,1)}
       145:{2,6,7}:{(139,1),(140,1)}
       146:{1,2,7}:{(141,1),(142,1),(143,1)}

 638 :   0:{1,2,3,5}:{(1,1),(2,1),(7,1),(11,1),(13,1),(31,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(22,1),(48,1)}
         2:{1,2,4}:{(0,1),(3,1)}
         3:{3,4}:{(2,1),(11,1)}
         4:{1,2,3,7}:{(1,1),(12,1),(37,1),(67,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(38,1)}
         6:{1,2,4,5}:{(2,1),(11,1),(13,1),(14,1),(28,1),(29,1),(31,1),(34,1)}
         7:{1,2,3}:{(17,1)}
         8:{2,3,4}:{(3,1),(17,1),(18,1),(40,1)}
         9:{1,3,4}:{(3,1),(17,1),(19,1),(40,1)}
        10:{3,4,6}:{(3,1),(5,1),(20,1),(21,1),(22,1),(52,1),(53,1)}
        11:{3,5}:{(3,1),(6,1),(22,1)}
        12:{1,2,4,7}:{(4,1),(5,1),(20,1),(23,1)}
        13:{1,2,5}:{(5,1),(21,1)}
        14:{1,2,4,6}:{(6,1),(22,1),(24,1),(25,1),(44,1),(45,1),(48,1),(52,1)}
        15:{1,2,3,5}:{(7,1),(26,1),(27,1),(31,1),(57,1),(59,1)}
        16:{3,4,5}:{(11,1),(28,1),(29,1),(30,1),(34,1),(57,1),(83,1)}
        17:{1,2,4}:{(7,1),(8,1),(9,1),(31,1)}
        18:{2,3,5}:{(8,1),(11,1),(28,1),(31,1),(32,1),(57,1)}
        19:{1,3,5}:{(9,1),(11,1),(29,1),(31,1),(33,1),(57,1)}
        20:{3,4,7}:{(10,1),(12,1),(35,1),(37,1),(69,1)}
        21:{3,5}:{(10,1),(13,1),(34,1)}
        22:{3,6}:{(11,1),(14,1),(37,1)}
        23:{1,2,5,7}:{(12,1),(13,1),(35,1),(38,1)}
        24:{1,2,5,6}:{(13,1),(14,1),(36,1),(38,1),(39,1),(61,1),(63,1)}
        25:{1,2,4,7}:{(14,1),(37,1),(39,1),(62,1),(64,1),(67,1),(69,1)}
        26:{1,2,3,6}:{(15,1),(41,1),(42,1),(48,1),(73,1)}
        27:{1,2,4}:{(15,1),(40,1)}
        28:{2,4,5}:{(16,1),(18,1),(44,1)}
        29:{1,4,5}:{(16,1),(19,1),(45,1)}
        30:{3,4,6}:{(16,1),(22,1),(44,1),(45,1),(46,1),(47,1),(52,1),(73,1),(94,1)}
        31:{1,2,5}:{(17,1),(18,1),(19,1),(48,1)}
        32:{2,3,6}:{(18,1),(22,1),(44,1),(48,1),(49,1),(73,1)}
        33:{1,3,6}:{(19,1),(22,1),(45,1),(48,1),(50,1),(73,1)}
        34:{4,5}:{(21,1),(52,1)}
        35:{3,5,7}:{(20,1),(21,1),(23,1),(51,1),(53,1)}
        36:{3,5,6}:{(21,1),(22,1),(24,1),(52,1),(53,1),(54,1),(81,1)}
        37:{3,7}:{(22,1),(25,1)}
        38:{1,2,6}:{(23,1),(53,1)}
        39:{1,2,5,7}:{(24,1),(25,1),(54,1),(55,1),(77,1),(78,1)}
        40:{3,4}:{(27,1),(57,1)}
        41:{1,2,3,7}:{(26,1),(58,1),(67,1),(86,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(56,1),(58,1),(59,1),(87,1)}
        43:{1,2,4,5}:{(27,1),(28,1),(29,1),(31,1),(57,1),(59,1),(60,1),(83,1)}
        44:{2,4,6}:{(28,1),(30,1),(32,1),(61,1),(62,1)}
        45:{1,4,6}:{(29,1),(30,1),(33,1),(63,1),(64,1)}
        46:{3,5,6}:{(30,1),(61,1),(63,1),(65,1),(66,1)}
        47:{3,4,7}:{(30,1),(37,1),(62,1),(64,1),(66,1),(69,1),(86,1),(100,1)}
        48:{1,2,6}:{(31,1),(32,1),(33,1),(67,1)}
        49:{2,3,7}:{(32,1),(37,1),(62,1),(67,1),(86,1)}
        50:{1,3,7}:{(33,1),(37,1),(64,1),(67,1),(86,1)}
        51:{4,5,7}:{(34,1),(35,1),(68,1),(69,1),(92,1)}
        52:{4,6}:{(34,1),(36,1),(69,1)}
        53:{3,6}:{(35,1),(38,1),(68,1)}
        54:{3,5,7}:{(36,1),(37,1),(39,1),(69,1),(70,1),(92,1)}
        55:{1,2,6,7}:{(38,1),(39,1),(70,1),(89,1),(90,1)}
        56:{3,4,6}:{(40,1),(42,1),(71,1),(72,1),(73,1),(94,1),(95,1)}
        57:{3,5}:{(40,1),(43,1),(73,1)}
        58:{1,2,4,7}:{(41,1),(42,1),(71,1),(74,1)}
        59:{1,2,5}:{(42,1),(72,1)}
        60:{1,2,4,6}:{(43,1),(44,1),(45,1),(48,1),(73,1),(75,1),(76,1),(94,1)}
        61:{2,5,6}:{(44,1),(46,1),(77,1)}
        62:{2,4,7}:{(44,1),(47,1),(49,1),(77,1)}
        63:{1,5,6}:{(45,1),(46,1),(78,1)}
        64:{1,4,7}:{(45,1),(47,1),(50,1),(78,1)}
        65:{4,5,6}:{(46,1),(52,1),(79,1),(81,1),(94,1),(102,1)}
        66:{3,5,7}:{(46,1),(47,1),(77,1),(78,1),(79,1),(80,1)}
        67:{1,2,7}:{(48,1),(49,1),(50,1)}
        68:{4,6}:{(51,1),(53,1),(81,1)}
        69:{4,7}:{(52,1),(54,1)}
        70:{3,6,7}:{(53,1),(54,1),(55,1),(82,1)}
        71:{3,4,7}:{(56,1),(58,1),(84,1),(86,1),(100,1)}
        72:{3,5}:{(56,1),(59,1),(83,1)}
        73:{3,6}:{(57,1),(60,1),(86,1)}
        74:{1,2,5,7}:{(58,1),(59,1),(84,1),(87,1)}
        75:{1,2,5,6}:{(59,1),(60,1),(61,1),(63,1),(85,1),(87,1),(88,1)}
        76:{1,2,4,7}:{(60,1),(62,1),(64,1),(67,1),(86,1),(88,1),(100,1)}
        77:{2,5,7}:{(61,1),(62,1),(66,1),(89,1)}
        78:{1,5,7}:{(63,1),(64,1),(66,1),(90,1)}
        79:{4,5,7}:{(65,1),(66,1),(69,1),(91,1),(92,1),(100,1),(104,1)}
        80:{3,6,7}:{(66,1),(89,1),(90,1),(91,1)}
        81:{5,6}:{(68,1),(92,1)}
        82:{4,6,7}:{(68,1),(69,1),(70,1),(92,1)}
        83:{4,5}:{(72,1),(94,1)}
        84:{3,5,7}:{(71,1),(72,1),(74,1),(93,1),(95,1)}
        85:{3,5,6}:{(72,1),(73,1),(75,1),(94,1),(95,1),(96,1),(102,1)}
        86:{3,7}:{(73,1),(76,1)}
        87:{1,2,6}:{(74,1),(95,1)}
        88:{1,2,5,7}:{(75,1),(76,1),(77,1),(78,1),(96,1),(97,1)}
        89:{2,6,7}:{(77,1),(80,1)}
        90:{1,6,7}:{(78,1),(80,1)}
        91:{4,6,7}:{(79,1),(80,1),(98,1)}
        92:{5,7}:{(81,1),(82,1)}
        93:{4,5,7}:{(83,1),(84,1),(99,1),(100,1),(104,1)}
        94:{4,6}:{(83,1),(85,1),(100,1)}
        95:{3,6}:{(84,1),(87,1),(99,1)}
        96:{3,5,7}:{(85,1),(86,1),(88,1),(100,1),(101,1),(104,1)}
        97:{1,2,6,7}:{(87,1),(88,1),(89,1),(90,1),(101,1)}
        98:{5,6,7}:{(91,1),(92,1),(104,1)}
        99:{4,6}:{(93,1),(95,1),(102,1)}
       100:{4,7}:{(94,1),(96,1)}
       101:{3,6,7}:{(95,1),(96,1),(97,1),(103,1)}
       102:{5,6}:{(99,1),(104,1)}
       103:{4,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 639 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(11,1),(27,1),(31,1),(70,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(91,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(45,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(11,1),(22,1),(23,1),(26,1),(27,1),(35,1),(64,1),(71,1),(106,1)}
         4:{3,4,7}:{(1,1),(6,1),(10,1),(64,1),(113,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1)}
         6:{3,5,7}:{(3,1),(4,1),(16,1),(21,1),(92,1),(125,1)}
         7:{1,2,4,6}:{(3,1),(16,1),(17,1),(38,1),(39,1),(45,1),(48,1)}
         8:{1,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(79,1),(85,1),(125,1),(130,1)}
         9:{2,3,4,7}:{(4,1),(15,1),(18,1),(20,1),(79,1),(86,1),(125,1),(131,1)}
        10:{3,4,6}:{(4,1),(5,1),(16,1),(21,1),(48,1)}
        11:{1,2,5}:{(5,1),(21,1)}
        12:{3,4,5,7}:{(6,1),(22,1),(23,1),(24,1),(35,1),(55,1),(56,1),(64,1),(72,1),(73,1),(107,1),(108,1),(135,1),(138,1)}
        13:{1,2,4,6,7}:{(7,1),(25,1),(26,1),(53,1),(54,1),(61,1),(64,1),(106,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(22,1),(27,1),(28,1),(33,1),(56,1),(114,1),(139,1)}
        15:{2,3,5,7}:{(6,1),(9,1),(23,1),(27,1),(29,1),(34,1),(56,1),(115,1),(140,1)}
        16:{3,6}:{(6,1),(7,1)}
        17:{1,2,5,6}:{(7,1),(11,1),(26,1),(30,1),(58,1),(59,1)}
        18:{1,2,4,7}:{(8,1),(9,1),(27,1),(31,1),(32,1),(142,1)}
        19:{1,3,4,6}:{(8,1),(10,1),(28,1),(32,1),(33,1),(68,1),(102,1),(110,1),(113,1)}
        20:{2,3,4,6}:{(9,1),(10,1),(29,1),(32,1),(34,1),(69,1),(102,1),(110,1),(113,1)}
        21:{3,5}:{(10,1),(11,1),(35,1)}
        22:{1,4,5,7}:{(12,1),(14,1),(38,1),(51,1),(76,1),(85,1),(94,1),(127,1)}
        23:{2,4,5,7}:{(12,1),(15,1),(39,1),(52,1),(77,1),(86,1),(93,1),(126,1)}
        24:{3,4,6}:{(12,1),(16,1),(38,1),(39,1),(40,1),(48,1),(80,1),(122,1)}
        25:{3,6,7}:{(13,1),(16,1),(43,1),(125,1)}
        26:{1,2,5,7}:{(13,1),(17,1),(43,1),(76,1),(77,1)}
        27:{1,2,5,7}:{(14,1),(15,1),(18,1),(45,1),(50,1),(132,1),(145,1)}
        28:{1,3,6}:{(14,1),(16,1),(38,1),(45,1),(80,1)}
        29:{2,3,6}:{(15,1),(16,1),(39,1),(45,1),(80,1)}
        30:{3,5,6}:{(16,1),(17,1),(21,1),(43,1),(48,1)}
        31:{1,2,3,7}:{(18,1),(49,1),(125,1),(145,1),(146,1)}
        32:{1,2,4,6}:{(18,1),(19,1),(20,1),(45,1),(49,1),(50,1),(91,1)}
        33:{1,3,5}:{(19,1),(21,1),(50,1),(51,1),(92,1),(121,1)}
        34:{2,3,5}:{(20,1),(21,1),(50,1),(52,1),(92,1),(121,1)}
        35:{4,5}:{(21,1),(48,1)}
        36:{3,4,6,7}:{(24,1),(25,1),(53,1),(54,1),(55,1),(64,1),(97,1),(98,1),(107,1),(108,1),(133,1),(134,1),(135,1)}
        37:{1,2,4,5,7}:{(22,1),(23,1),(27,1),(56,1),(57,1),(65,1),(71,1),(99,1),(106,1),(109,1),(135,1),(138,1)}
        38:{1,4,6}:{(22,1),(24,1),(28,1),(58,1)}
        39:{2,4,6}:{(23,1),(24,1),(29,1),(59,1)}
        40:{3,5,6}:{(24,1),(55,1),(58,1),(59,1),(60,1)}
        41:{1,3,6,7}:{(25,1),(28,1),(53,1),(61,1),(62,1),(98,1),(133,1),(139,1)}
        42:{2,3,6,7}:{(25,1),(29,1),(54,1),(61,1),(63,1),(98,1),(134,1),(140,1)}
        43:{3,5,7}:{(25,1),(26,1),(30,1),(64,1)}
        44:{1,2,3,5,7}:{(27,1),(31,1),(56,1),(65,1),(66,1),(70,1),(109,1)}
        45:{1,2,6}:{(27,1),(28,1),(29,1)}
        46:{1,3,5,6}:{(28,1),(30,1),(33,1),(58,1),(62,1),(67,1),(68,1),(103,1),(104,1),(110,1)}
        47:{2,3,5,6}:{(29,1),(30,1),(34,1),(59,1),(63,1),(67,1),(69,1),(103,1),(105,1),(110,1)}
        48:{4,6}:{(30,1),(35,1),(64,1)}
        49:{1,2,3,6}:{(31,1),(32,1),(70,1),(110,1),(141,1)}
        50:{1,2,5}:{(32,1),(33,1),(34,1)}
        51:{1,4,5}:{(33,1),(35,1),(68,1),(72,1),(138,1)}
        52:{2,4,5}:{(34,1),(35,1),(69,1),(73,1),(138,1)}
        53:{1,4,6,7}:{(36,1),(38,1),(41,1),(76,1),(85,1),(127,1),(144,1)}
        54:{2,4,6,7}:{(36,1),(39,1),(42,1),(77,1),(86,1),(126,1),(143,1)}
        55:{3,5,7}:{(36,1),(40,1),(76,1),(77,1),(78,1)}
        56:{3,5,7}:{(37,1),(79,1),(80,1),(92,1),(121,1),(125,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(39,1),(45,1),(80,1),(81,1),(122,1)}
        58:{1,5,6}:{(38,1),(40,1),(76,1)}
        59:{2,5,6}:{(39,1),(40,1),(77,1)}
        60:{4,5,6}:{(40,1),(48,1),(78,1),(122,1)}
        61:{1,2,6,7}:{(41,1),(42,1),(45,1),(84,1),(143,1),(144,1),(145,1)}
        62:{1,3,5,7}:{(41,1),(43,1),(46,1),(76,1),(84,1),(85,1),(118,1),(119,1),(125,1)}
        63:{2,3,5,7}:{(42,1),(43,1),(47,1),(77,1),(84,1),(86,1),(118,1),(120,1),(125,1)}
        64:{4,7}:{(43,1),(48,1)}
        65:{1,2,4,7}:{(44,1),(79,1),(87,1),(91,1)}
        66:{1,2,3,6}:{(44,1),(45,1),(80,1),(87,1)}
        67:{1,2,5,6}:{(45,1),(46,1),(47,1),(50,1),(84,1),(88,1),(123,1),(124,1)}
        68:{1,4,6}:{(46,1),(48,1),(51,1),(85,1),(89,1),(122,1)}
        69:{2,4,6}:{(47,1),(48,1),(52,1),(86,1),(90,1),(122,1)}
        70:{1,2,3,5}:{(49,1),(50,1),(91,1),(92,1),(132,1),(146,1)}
        71:{1,2,4,5}:{(50,1),(51,1),(52,1),(88,1),(91,1),(92,1),(93,1),(94,1),(132,1)}
        72:{3,4,5}:{(51,1),(89,1),(92,1),(93,1)}
        73:{3,4,5}:{(52,1),(90,1),(92,1),(94,1)}
        74:{3,5,6,7}:{(55,1),(95,1),(96,1),(97,1),(133,1),(134,1)}
        75:{1,2,4,6,7}:{(53,1),(54,1),(57,1),(61,1),(98,1),(99,1),(106,1),(135,1)}
        76:{1,5,7}:{(53,1),(55,1),(58,1)}
        77:{2,5,7}:{(54,1),(55,1),(59,1)}
        78:{4,5,7}:{(55,1),(60,1),(64,1),(97,1),(135,1)}
        79:{3,4,7}:{(56,1),(65,1),(102,1),(113,1),(135,1)}
        80:{3,6}:{(56,1),(57,1)}
        81:{1,2,5,6}:{(57,1),(58,1),(59,1),(99,1),(103,1),(109,1)}
        82:{1,4,5,6}:{(58,1),(60,1),(68,1),(100,1),(104,1)}
        83:{2,4,5,6}:{(59,1),(60,1),(69,1),(101,1),(105,1)}
        84:{1,2,5,7}:{(61,1),(62,1),(63,1),(67,1),(106,1),(136,1),(137,1)}
        85:{1,4,7}:{(62,1),(64,1),(68,1),(107,1),(135,1)}
        86:{2,4,7}:{(63,1),(64,1),(69,1),(108,1),(135,1)}
        87:{1,2,4,6}:{(65,1),(66,1),(102,1),(109,1)}
        88:{1,2,4,6}:{(67,1),(68,1),(69,1),(71,1),(106,1),(110,1),(111,1),(112,1),(141,1)}
        89:{3,4,6}:{(68,1),(72,1),(104,1),(107,1),(110,1),(111,1)}
        90:{3,4,6}:{(69,1),(73,1),(105,1),(108,1),(110,1),(112,1)}
        91:{1,2,4}:{(70,1),(113,1)}
        92:{3,5}:{(71,1),(110,1),(113,1)}
        93:{2,4,5}:{(72,1),(111,1),(115,1)}
        94:{1,4,5}:{(73,1),(112,1),(114,1)}
        95:{1,5,6,7}:{(74,1),(76,1),(116,1),(144,1)}
        96:{2,5,6,7}:{(74,1),(77,1),(117,1),(143,1)}
        97:{4,6,7}:{(74,1),(78,1)}
        98:{3,6,7}:{(75,1),(80,1),(118,1),(125,1)}
        99:{1,2,5,7}:{(75,1),(76,1),(77,1),(81,1),(118,1)}
       100:{1,4,5,7}:{(76,1),(78,1),(82,1),(85,1),(116,1),(119,1)}
       101:{2,4,5,7}:{(77,1),(78,1),(83,1),(86,1),(117,1),(120,1)}
       102:{3,4,6}:{(79,1),(80,1),(87,1),(121,1),(122,1)}
       103:{3,5,6}:{(80,1),(81,1),(118,1),(121,1),(122,1)}
       104:{3,5,6}:{(82,1),(89,1),(119,1),(123,1)}
       105:{3,5,6}:{(83,1),(90,1),(120,1),(124,1)}
       106:{1,2,4,7}:{(84,1),(85,1),(86,1),(88,1),(125,1),(126,1),(127,1),(145,1)}
       107:{3,4,7}:{(85,1),(89,1),(119,1),(125,1),(126,1)}
       108:{3,4,7}:{(86,1),(90,1),(120,1),(125,1),(127,1)}
       109:{1,2,5}:{(87,1),(121,1)}
       110:{3,6}:{(88,1),(92,1),(125,1)}
       111:{2,4,6}:{(89,1),(93,1),(123,1),(126,1),(129,1)}
       112:{1,4,6}:{(90,1),(94,1),(124,1),(127,1),(128,1)}
       113:{3,4}:{(91,1),(92,1)}
       114:{1,3,5}:{(92,1),(94,1),(128,1),(130,1),(132,1)}
       115:{2,3,5}:{(92,1),(93,1),(129,1),(131,1),(132,1)}
       116:{1,4,6,7}:{(95,1),(97,1),(100,1),(133,1)}
       117:{2,4,6,7}:{(96,1),(97,1),(101,1),(134,1)}
       118:{3,5,7}:{(98,1),(99,1),(103,1),(135,1)}
       119:{3,5,7}:{(100,1),(104,1),(107,1),(133,1),(136,1)}
       120:{3,5,7}:{(101,1),(105,1),(108,1),(134,1),(137,1)}
       121:{3,5}:{(102,1),(109,1),(138,1)}
       122:{4,6}:{(103,1),(135,1),(138,1)}
       123:{2,5,6}:{(104,1),(111,1),(136,1)}
       124:{1,5,6}:{(105,1),(112,1),(137,1)}
       125:{3,7}:{(106,1),(110,1)}
       126:{2,4,7}:{(107,1),(111,1),(136,1),(140,1)}
       127:{1,4,7}:{(108,1),(112,1),(137,1),(139,1)}
       128:{1,3,6}:{(110,1),(112,1),(114,1),(139,1),(141,1)}
       129:{2,3,6}:{(110,1),(111,1),(115,1),(140,1),(141,1)}
       130:{1,3,4}:{(113,1),(114,1),(142,1)}
       131:{2,3,4}:{(113,1),(115,1),(142,1)}
       132:{1,2,5}:{(114,1),(115,1),(141,1),(142,1)}
       133:{3,6,7}:{(116,1),(119,1),(143,1)}
       134:{3,6,7}:{(117,1),(120,1),(144,1)}
       135:{4,7}:{(118,1),(122,1)}
       136:{2,5,7}:{(119,1),(123,1),(126,1),(143,1)}
       137:{1,5,7}:{(120,1),(124,1),(127,1),(144,1)}
       138:{4,5}:{(121,1),(122,1)}
       139:{1,3,7}:{(125,1),(127,1),(128,1),(145,1)}
       140:{2,3,7}:{(125,1),(126,1),(129,1),(145,1)}
       141:{1,2,6}:{(128,1),(129,1),(132,1),(145,1)}
       142:{1,2,4}:{(130,1),(131,1),(132,1),(146,1)}
       143:{2,6,7}:{(133,1),(136,1)}
       144:{1,6,7}:{(134,1),(137,1)}
       145:{1,2,7}:{(139,1),(140,1),(141,1)}
       146:{1,2,3}:{(142,1)}

 640 :   0:{1,2,3,6,7}:{(1,1),(2,1),(26,1),(56,1),(57,1),(61,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(6,1),(15,1),(68,1),(69,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(43,1),(48,1),(75,1),(76,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(11,1),(22,1),(26,1)}
         4:{1,2,5,7}:{(1,1),(7,1),(8,1),(85,1),(86,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(10,1),(26,1),(29,1),(59,1),(60,1),(61,1),(65,1),(66,1)}
         6:{1,2,4,7}:{(2,1),(10,1),(11,1),(91,1),(92,1)}
         7:{3,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{1,2,5,6}:{(4,1),(12,1),(15,1),(70,1),(71,1)}
         9:{1,2,4,5,7}:{(4,1),(6,1),(13,1),(15,1),(16,1),(17,1),(36,1),(37,1),(43,1)}
        10:{1,2,4,6}:{(5,1),(6,1),(17,1),(18,1),(78,1),(79,1)}
        11:{3,4,7}:{(6,1),(16,1),(18,1)}
        12:{3,5,6}:{(7,1),(8,1),(22,1),(26,1)}
        13:{4,5,7}:{(7,1),(22,1)}
        14:{1,2,5,6,7}:{(8,1),(21,1),(24,1),(85,1),(86,1)}
        15:{1,2,4,6}:{(8,1),(9,1),(22,1),(26,1),(52,1),(53,1),(61,1)}
        16:{3,5,7}:{(9,1),(11,1),(26,1),(29,1)}
        17:{1,2,4,5}:{(10,1),(29,1),(63,1),(64,1),(65,1)}
        18:{3,4,6}:{(10,1),(11,1),(26,1),(29,1)}
        19:{1,3,4,7}:{(11,1),(27,1),(30,1),(32,1),(90,1),(91,1),(109,1)}
        20:{2,3,4,7}:{(11,1),(28,1),(31,1),(32,1),(90,1),(92,1),(109,1)}
        21:{3,5,6,7}:{(12,1),(14,1),(33,1),(39,1),(67,1)}
        22:{4,6}:{(12,1),(13,1)}
        23:{3,4,5,7}:{(13,1),(16,1),(35,1),(36,1),(37,1),(44,1),(67,1),(73,1),(74,1),(110,1),(111,1)}
        24:{1,2,4,6,7}:{(14,1),(15,1),(33,1),(38,1),(39,1),(68,1),(69,1),(77,1)}
        25:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(38,1),(40,1),(70,1),(71,1),(78,1),(79,1),(80,1)}
        26:{3,6}:{(15,1),(16,1)}
        27:{1,3,5,7}:{(16,1),(19,1),(36,1),(41,1),(43,1),(45,1),(73,1)}
        28:{2,3,5,7}:{(16,1),(20,1),(37,1),(42,1),(43,1),(46,1),(73,1)}
        29:{3,5}:{(17,1),(18,1)}
        30:{1,3,4,6}:{(18,1),(19,1),(41,1),(45,1),(47,1),(78,1),(101,1),(103,1),(105,1)}
        31:{2,3,4,6}:{(18,1),(20,1),(42,1),(46,1),(47,1),(79,1),(101,1),(103,1),(105,1)}
        32:{1,2,4,7}:{(19,1),(20,1),(43,1),(47,1),(48,1)}
        33:{4,6,7}:{(21,1),(22,1),(49,1)}
        34:{4,5,6}:{(22,1),(49,1),(51,1),(107,1)}
        35:{3,4,6}:{(22,1),(23,1),(26,1),(51,1),(52,1),(53,1),(89,1),(107,1)}
        36:{1,4,5,7}:{(23,1),(27,1),(52,1),(63,1),(85,1),(91,1)}
        37:{2,4,5,7}:{(23,1),(28,1),(53,1),(64,1),(86,1),(92,1)}
        38:{1,2,4,5,7}:{(24,1),(25,1),(49,1),(55,1),(85,1),(86,1),(91,1),(92,1),(93,1)}
        39:{3,6,7}:{(24,1),(26,1),(55,1)}
        40:{3,5,6}:{(25,1),(26,1),(29,1),(55,1),(58,1)}
        41:{1,3,6}:{(26,1),(27,1),(52,1),(61,1),(89,1)}
        42:{2,3,6}:{(26,1),(28,1),(53,1),(61,1),(89,1)}
        43:{1,2,5,7}:{(27,1),(28,1),(32,1),(61,1),(65,1)}
        44:{3,4,5}:{(29,1),(58,1),(63,1),(64,1),(96,1)}
        45:{1,3,5}:{(29,1),(30,1),(63,1),(65,1),(96,1),(108,1)}
        46:{2,3,5}:{(29,1),(31,1),(64,1),(65,1),(96,1),(108,1)}
        47:{1,2,4,6}:{(30,1),(31,1),(32,1),(61,1),(65,1),(66,1),(97,1)}
        48:{1,2,3,7}:{(32,1),(66,1),(109,1)}
        49:{4,5,7}:{(33,1),(34,1),(67,1),(110,1)}
        50:{3,4,6,7}:{(33,1),(35,1),(39,1),(67,1),(68,1),(69,1),(74,1),(99,1),(110,1)}
        51:{3,5,6}:{(34,1),(35,1),(67,1),(70,1),(71,1)}
        52:{1,4,6}:{(35,1),(36,1),(41,1),(70,1)}
        53:{2,4,6}:{(35,1),(37,1),(42,1),(71,1)}
        54:{1,2,4,5,7}:{(36,1),(37,1),(43,1),(72,1),(73,1),(82,1),(83,1),(98,1),(102,1),(104,1),(110,1),(111,1)}
        55:{3,5,7}:{(38,1),(39,1),(40,1),(74,1)}
        56:{1,3,6,7}:{(39,1),(41,1),(68,1),(75,1),(77,1),(99,1)}
        57:{2,3,6,7}:{(39,1),(42,1),(69,1),(76,1),(77,1),(99,1)}
        58:{3,4,6}:{(40,1),(44,1),(74,1),(78,1),(79,1),(103,1)}
        59:{1,3,5,6}:{(40,1),(41,1),(45,1),(70,1),(75,1),(78,1),(80,1),(100,1),(103,1)}
        60:{2,3,5,6}:{(40,1),(42,1),(46,1),(71,1),(76,1),(79,1),(80,1),(100,1),(103,1)}
        61:{1,2,6}:{(41,1),(42,1),(43,1)}
        62:{1,2,3,5,7}:{(43,1),(48,1),(73,1),(81,1),(82,1),(84,1),(104,1)}
        63:{1,4,5}:{(44,1),(45,1),(78,1),(111,1)}
        64:{2,4,5}:{(44,1),(46,1),(79,1),(111,1)}
        65:{1,2,5}:{(45,1),(46,1),(47,1)}
        66:{1,2,3,6}:{(47,1),(48,1),(84,1),(103,1)}
        67:{3,5,7}:{(49,1),(50,1),(51,1),(85,1),(86,1)}
        68:{1,4,6,7}:{(50,1),(52,1),(56,1),(85,1),(91,1)}
        69:{2,4,6,7}:{(50,1),(53,1),(57,1),(86,1),(92,1)}
        70:{1,5,6}:{(51,1),(52,1),(85,1)}
        71:{2,5,6}:{(51,1),(53,1),(86,1)}
        72:{1,2,4,6}:{(52,1),(53,1),(54,1),(61,1),(88,1),(89,1),(107,1)}
        73:{3,5,7}:{(54,1),(89,1),(90,1),(96,1),(108,1),(109,1)}
        74:{3,4,7}:{(55,1),(58,1),(91,1),(92,1),(109,1)}
        75:{1,3,5,7}:{(55,1),(56,1),(59,1),(85,1),(91,1),(93,1),(106,1),(109,1)}
        76:{2,3,5,7}:{(55,1),(57,1),(60,1),(86,1),(92,1),(93,1),(106,1),(109,1)}
        77:{1,2,6,7}:{(56,1),(57,1),(61,1),(93,1)}
        78:{1,4,6}:{(58,1),(59,1),(63,1),(91,1),(107,1)}
        79:{2,4,6}:{(58,1),(60,1),(64,1),(92,1),(107,1)}
        80:{1,2,5,6}:{(59,1),(60,1),(61,1),(65,1),(93,1),(94,1)}
        81:{1,2,3,6}:{(61,1),(62,1),(89,1),(95,1)}
        82:{1,2,4,7}:{(62,1),(90,1),(95,1),(97,1)}
        83:{1,2,4,5}:{(63,1),(64,1),(65,1),(94,1),(96,1),(97,1)}
        84:{1,2,3,5}:{(65,1),(66,1),(96,1),(97,1)}
        85:{1,5,7}:{(67,1),(68,1),(70,1)}
        86:{2,5,7}:{(67,1),(69,1),(71,1)}
        87:{1,2,4,6,7}:{(68,1),(69,1),(72,1),(77,1),(98,1),(99,1),(102,1),(110,1)}
        88:{1,2,5,6}:{(70,1),(71,1),(72,1),(98,1),(100,1),(104,1)}
        89:{3,6}:{(72,1),(73,1)}
        90:{3,4,7}:{(73,1),(82,1),(101,1),(105,1),(110,1)}
        91:{1,4,7}:{(74,1),(75,1),(78,1),(110,1)}
        92:{2,4,7}:{(74,1),(76,1),(79,1),(110,1)}
        93:{1,2,5,7}:{(75,1),(76,1),(77,1),(80,1),(102,1)}
        94:{1,2,4,6}:{(78,1),(79,1),(80,1),(83,1),(102,1),(103,1)}
        95:{1,2,4,6}:{(81,1),(82,1),(101,1),(104,1)}
        96:{3,5}:{(83,1),(103,1),(105,1)}
        97:{1,2,4}:{(84,1),(105,1)}
        98:{1,2,5,7}:{(85,1),(86,1),(87,1),(88,1),(106,1)}
        99:{3,6,7}:{(87,1),(89,1),(106,1),(109,1)}
       100:{3,5,6}:{(88,1),(89,1),(106,1),(107,1),(108,1)}
       101:{3,4,6}:{(89,1),(90,1),(95,1),(107,1),(108,1)}
       102:{1,2,4,7}:{(91,1),(92,1),(93,1),(94,1),(109,1)}
       103:{3,6}:{(94,1),(96,1),(109,1)}
       104:{1,2,5}:{(95,1),(108,1)}
       105:{3,4}:{(96,1),(97,1)}
       106:{3,5,7}:{(98,1),(99,1),(100,1),(110,1)}
       107:{4,6}:{(100,1),(110,1),(111,1)}
       108:{3,5}:{(101,1),(104,1),(111,1)}
       109:{3,7}:{(102,1),(103,1)}
       110:{4,7}:{(106,1),(107,1)}
       111:{4,5}:{(107,1),(108,1)}

 641 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(33,1),(60,1)}
         1:{1,2,3,5}:{(0,1),(5,1),(7,1),(17,1),(20,1),(45,1)}
         2:{1,2,3,7}:{(0,1),(6,1),(48,1),(75,1)}
         3:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(22,1)}
         4:{3,4,6}:{(3,1),(8,1),(9,1),(10,1),(27,1),(28,1),(33,1)}
         5:{1,2,4}:{(1,1),(10,1)}
         6:{1,2,4,7}:{(2,1),(3,1),(8,1),(12,1)}
         7:{1,2,5}:{(3,1),(9,1)}
         8:{3,4,7}:{(4,1),(6,1),(15,1),(43,1),(48,1)}
         9:{3,5}:{(4,1),(7,1),(14,1)}
        10:{3,4}:{(5,1),(20,1)}
        11:{1,2,4,5}:{(5,1),(7,1),(14,1),(20,1),(21,1),(39,1),(40,1),(45,1)}
        12:{1,2,5,7}:{(6,1),(7,1),(15,1),(22,1)}
        13:{1,2,5,6}:{(7,1),(16,1),(21,1),(22,1),(23,1),(66,1),(67,1)}
        14:{4,5}:{(9,1),(27,1)}
        15:{3,5,7}:{(8,1),(9,1),(12,1),(26,1),(28,1)}
        16:{3,5,6}:{(9,1),(13,1),(27,1),(28,1),(29,1),(33,1),(58,1)}
        17:{1,2,3}:{(30,1)}
        18:{2,3,4}:{(10,1),(30,1),(31,1),(53,1)}
        19:{1,3,4}:{(10,1),(30,1),(32,1),(53,1)}
        20:{3,5}:{(10,1),(11,1),(33,1)}
        21:{1,2,4,6}:{(11,1),(13,1),(27,1),(33,1),(34,1),(55,1),(56,1),(60,1)}
        22:{1,2,6}:{(12,1),(28,1)}
        23:{1,2,5,7}:{(13,1),(29,1),(34,1),(35,1),(80,1),(81,1)}
        24:{1,2,3,5}:{(17,1),(36,1),(38,1),(45,1),(65,1),(70,1)}
        25:{3,4,5}:{(14,1),(20,1),(39,1),(40,1),(41,1),(70,1),(86,1)}
        26:{4,5,7}:{(14,1),(15,1),(42,1),(43,1),(74,1)}
        27:{4,6}:{(14,1),(16,1),(43,1)}
        28:{3,6}:{(15,1),(22,1),(42,1)}
        29:{3,5,7}:{(16,1),(23,1),(43,1),(44,1),(48,1),(74,1)}
        30:{1,2,4}:{(17,1),(18,1),(19,1),(45,1)}
        31:{2,3,5}:{(18,1),(20,1),(39,1),(45,1),(46,1),(70,1)}
        32:{1,3,5}:{(19,1),(20,1),(40,1),(45,1),(47,1),(70,1)}
        33:{3,6}:{(20,1),(21,1),(48,1)}
        34:{1,2,4,7}:{(21,1),(23,1),(43,1),(48,1),(72,1),(73,1),(75,1)}
        35:{1,2,6,7}:{(22,1),(23,1),(44,1),(91,1),(92,1)}
        36:{1,2,3,6}:{(24,1),(49,1),(50,1),(60,1),(84,1)}
        37:{4,5,6}:{(27,1),(51,1),(52,1),(58,1),(95,1),(102,1)}
        38:{1,2,4}:{(24,1),(53,1)}
        39:{2,4,5}:{(25,1),(31,1),(55,1)}
        40:{1,4,5}:{(25,1),(32,1),(56,1)}
        41:{3,4,6}:{(25,1),(27,1),(33,1),(51,1),(55,1),(56,1),(57,1),(84,1),(95,1)}
        42:{4,6}:{(26,1),(28,1),(58,1)}
        43:{4,7}:{(27,1),(29,1)}
        44:{3,6,7}:{(28,1),(29,1),(35,1),(59,1)}
        45:{1,2,5}:{(30,1),(31,1),(32,1),(60,1)}
        46:{2,3,6}:{(31,1),(33,1),(55,1),(60,1),(61,1),(84,1)}
        47:{1,3,6}:{(32,1),(33,1),(56,1),(60,1),(62,1),(84,1)}
        48:{3,7}:{(33,1),(34,1)}
        49:{1,2,3,7}:{(36,1),(64,1),(75,1),(93,1)}
        50:{1,2,4,6}:{(36,1),(38,1),(63,1),(64,1),(65,1),(89,1)}
        51:{3,5,6}:{(37,1),(41,1),(66,1),(67,1),(68,1)}
        52:{4,5,7}:{(37,1),(43,1),(68,1),(69,1),(74,1),(100,1),(104,1)}
        53:{3,4}:{(38,1),(70,1)}
        54:{1,2,4,5}:{(38,1),(39,1),(40,1),(45,1),(65,1),(70,1),(71,1),(86,1)}
        55:{2,4,6}:{(39,1),(41,1),(46,1),(66,1),(72,1)}
        56:{1,4,6}:{(40,1),(41,1),(47,1),(67,1),(73,1)}
        57:{3,4,7}:{(41,1),(43,1),(48,1),(68,1),(72,1),(73,1),(93,1),(100,1)}
        58:{5,6}:{(42,1),(74,1)}
        59:{4,6,7}:{(42,1),(43,1),(44,1),(74,1)}
        60:{1,2,6}:{(45,1),(46,1),(47,1),(75,1)}
        61:{2,3,7}:{(46,1),(48,1),(72,1),(75,1),(93,1)}
        62:{1,3,7}:{(47,1),(48,1),(73,1),(75,1),(93,1)}
        63:{3,4,6}:{(50,1),(53,1),(76,1),(77,1),(84,1),(95,1),(96,1)}
        64:{1,2,4,7}:{(49,1),(50,1),(76,1),(78,1)}
        65:{1,2,5}:{(50,1),(77,1)}
        66:{2,5,6}:{(51,1),(55,1),(80,1)}
        67:{1,5,6}:{(51,1),(56,1),(81,1)}
        68:{3,5,7}:{(51,1),(52,1),(57,1),(80,1),(81,1),(82,1)}
        69:{4,6,7}:{(52,1),(82,1),(83,1)}
        70:{3,5}:{(53,1),(54,1),(84,1)}
        71:{1,2,4,6}:{(54,1),(55,1),(56,1),(60,1),(79,1),(84,1),(85,1),(95,1)}
        72:{2,4,7}:{(55,1),(57,1),(61,1),(80,1)}
        73:{1,4,7}:{(56,1),(57,1),(62,1),(81,1)}
        74:{5,7}:{(58,1),(59,1)}
        75:{1,2,7}:{(60,1),(61,1),(62,1)}
        76:{3,4,7}:{(63,1),(64,1),(87,1),(93,1),(100,1)}
        77:{3,5}:{(63,1),(65,1),(86,1)}
        78:{1,2,5,7}:{(64,1),(65,1),(87,1),(89,1)}
        79:{1,2,5,6}:{(65,1),(66,1),(67,1),(71,1),(88,1),(89,1),(90,1)}
        80:{2,5,7}:{(66,1),(68,1),(72,1),(91,1)}
        81:{1,5,7}:{(67,1),(68,1),(73,1),(92,1)}
        82:{3,6,7}:{(68,1),(69,1),(91,1),(92,1)}
        83:{5,6,7}:{(69,1),(74,1),(104,1)}
        84:{3,6}:{(70,1),(71,1),(93,1)}
        85:{1,2,4,7}:{(71,1),(72,1),(73,1),(75,1),(90,1),(93,1),(100,1)}
        86:{4,5}:{(77,1),(95,1)}
        87:{3,5,7}:{(76,1),(77,1),(78,1),(94,1),(96,1)}
        88:{3,5,6}:{(77,1),(79,1),(84,1),(95,1),(96,1),(97,1),(102,1)}
        89:{1,2,6}:{(78,1),(96,1)}
        90:{1,2,5,7}:{(79,1),(80,1),(81,1),(85,1),(97,1),(98,1)}
        91:{2,6,7}:{(80,1),(82,1)}
        92:{1,6,7}:{(81,1),(82,1)}
        93:{3,7}:{(84,1),(85,1)}
        94:{4,5,7}:{(86,1),(87,1),(99,1),(100,1),(104,1)}
        95:{4,6}:{(86,1),(88,1),(100,1)}
        96:{3,6}:{(87,1),(89,1),(99,1)}
        97:{3,5,7}:{(88,1),(90,1),(93,1),(100,1),(101,1),(104,1)}
        98:{1,2,6,7}:{(89,1),(90,1),(91,1),(92,1),(101,1)}
        99:{4,6}:{(94,1),(96,1),(102,1)}
       100:{4,7}:{(95,1),(97,1)}
       101:{3,6,7}:{(96,1),(97,1),(98,1),(103,1)}
       102:{5,6}:{(99,1),(104,1)}
       103:{4,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 642 :   0:{1,2,3,7}:{(1,1),(2,1),(51,1),(76,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(38,1),(62,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(5,1),(6,1)}
         3:{3,4,7}:{(2,1),(7,1),(8,1),(47,1),(51,1)}
         4:{1,2,3,5}:{(1,1),(9,1),(10,1),(23,1),(26,1),(48,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(10,1),(11,1)}
         6:{1,2,5,7}:{(2,1),(8,1),(10,1),(11,1)}
         7:{3,4,6}:{(3,1),(5,1),(13,1),(14,1),(15,1),(33,1),(38,1)}
         8:{3,5,7}:{(3,1),(6,1),(12,1),(13,1),(14,1)}
         9:{1,2,4}:{(4,1),(15,1)}
        10:{1,2,5}:{(5,1),(13,1)}
        11:{1,2,6}:{(6,1),(14,1)}
        12:{4,5,7}:{(8,1),(19,1),(20,1),(42,1),(47,1)}
        13:{3,5}:{(7,1),(10,1),(20,1)}
        14:{3,6}:{(8,1),(11,1),(19,1)}
        15:{3,4}:{(9,1),(26,1)}
        16:{1,2,4,5}:{(9,1),(10,1),(20,1),(26,1),(27,1),(44,1),(45,1),(48,1)}
        17:{1,2,5,6}:{(10,1),(11,1),(21,1),(27,1),(28,1),(69,1),(70,1)}
        18:{1,2,6,7}:{(11,1),(22,1),(28,1),(88,1),(89,1)}
        19:{4,6}:{(12,1),(14,1),(29,1)}
        20:{4,5}:{(13,1),(33,1)}
        21:{3,5,6}:{(13,1),(14,1),(17,1),(29,1),(33,1),(34,1),(38,1)}
        22:{3,6,7}:{(14,1),(18,1),(30,1),(34,1)}
        23:{1,2,3}:{(35,1)}
        24:{2,3,4}:{(15,1),(35,1),(36,1),(57,1)}
        25:{1,3,4}:{(15,1),(35,1),(37,1),(57,1)}
        26:{3,5}:{(15,1),(16,1),(38,1)}
        27:{1,2,4,6}:{(16,1),(17,1),(33,1),(38,1),(39,1),(59,1),(60,1),(62,1)}
        28:{1,2,5,7}:{(17,1),(18,1),(34,1),(39,1),(82,1),(83,1)}
        29:{5,6}:{(19,1),(42,1)}
        30:{4,6,7}:{(19,1),(22,1),(42,1),(47,1)}
        31:{1,2,3,5}:{(23,1),(40,1),(43,1),(48,1),(68,1),(72,1)}
        32:{3,4,5}:{(20,1),(26,1),(44,1),(45,1),(46,1),(72,1),(90,1)}
        33:{4,6}:{(20,1),(21,1),(47,1)}
        34:{3,5,7}:{(21,1),(22,1),(28,1),(42,1),(47,1),(51,1)}
        35:{1,2,4}:{(23,1),(24,1),(25,1),(48,1)}
        36:{2,3,5}:{(24,1),(26,1),(44,1),(48,1),(49,1),(72,1)}
        37:{1,3,5}:{(25,1),(26,1),(45,1),(48,1),(50,1),(72,1)}
        38:{3,6}:{(26,1),(27,1),(51,1)}
        39:{1,2,4,7}:{(27,1),(28,1),(47,1),(51,1),(74,1),(75,1),(76,1)}
        40:{1,2,3,6}:{(31,1),(52,1),(54,1),(62,1),(84,1)}
        41:{4,5,6}:{(29,1),(33,1),(55,1),(56,1),(97,1),(102,1)}
        42:{5,7}:{(29,1),(30,1)}
        43:{1,2,4}:{(31,1),(57,1)}
        44:{2,4,5}:{(32,1),(36,1),(59,1)}
        45:{1,4,5}:{(32,1),(37,1),(60,1)}
        46:{3,4,6}:{(32,1),(33,1),(38,1),(55,1),(59,1),(60,1),(61,1),(84,1),(97,1)}
        47:{4,7}:{(33,1),(34,1)}
        48:{1,2,5}:{(35,1),(36,1),(37,1),(62,1)}
        49:{2,3,6}:{(36,1),(38,1),(59,1),(62,1),(63,1),(84,1)}
        50:{1,3,6}:{(37,1),(38,1),(60,1),(62,1),(64,1),(84,1)}
        51:{3,7}:{(38,1),(39,1)}
        52:{1,2,3,7}:{(40,1),(65,1),(76,1),(93,1)}
        53:{5,6,7}:{(42,1),(66,1),(104,1)}
        54:{1,2,4,6}:{(40,1),(43,1),(65,1),(67,1),(68,1),(87,1)}
        55:{3,5,6}:{(41,1),(46,1),(69,1),(70,1),(71,1)}
        56:{4,5,7}:{(41,1),(42,1),(47,1),(66,1),(71,1),(101,1),(104,1)}
        57:{3,4}:{(43,1),(72,1)}
        58:{1,2,4,5}:{(43,1),(44,1),(45,1),(48,1),(68,1),(72,1),(73,1),(90,1)}
        59:{2,4,6}:{(44,1),(46,1),(49,1),(69,1),(74,1)}
        60:{1,4,6}:{(45,1),(46,1),(50,1),(70,1),(75,1)}
        61:{3,4,7}:{(46,1),(47,1),(51,1),(71,1),(74,1),(75,1),(93,1),(101,1)}
        62:{1,2,6}:{(48,1),(49,1),(50,1),(76,1)}
        63:{2,3,7}:{(49,1),(51,1),(74,1),(76,1),(93,1)}
        64:{1,3,7}:{(50,1),(51,1),(75,1),(76,1),(93,1)}
        65:{1,2,4,7}:{(52,1),(54,1),(77,1),(78,1)}
        66:{4,6,7}:{(53,1),(56,1),(79,1)}
        67:{3,4,6}:{(54,1),(57,1),(77,1),(80,1),(84,1),(95,1),(97,1)}
        68:{1,2,5}:{(54,1),(80,1)}
        69:{2,5,6}:{(55,1),(59,1),(82,1)}
        70:{1,5,6}:{(55,1),(60,1),(83,1)}
        71:{3,5,7}:{(55,1),(56,1),(61,1),(79,1),(82,1),(83,1)}
        72:{3,5}:{(57,1),(58,1),(84,1)}
        73:{1,2,4,6}:{(58,1),(59,1),(60,1),(62,1),(81,1),(84,1),(85,1),(97,1)}
        74:{2,4,7}:{(59,1),(61,1),(63,1),(82,1)}
        75:{1,4,7}:{(60,1),(61,1),(64,1),(83,1)}
        76:{1,2,7}:{(62,1),(63,1),(64,1)}
        77:{3,4,7}:{(65,1),(67,1),(86,1),(93,1),(101,1)}
        78:{1,2,5,7}:{(65,1),(68,1),(86,1),(87,1)}
        79:{3,6,7}:{(66,1),(71,1),(88,1),(89,1)}
        80:{3,5}:{(67,1),(68,1),(90,1)}
        81:{1,2,5,6}:{(68,1),(69,1),(70,1),(73,1),(87,1),(91,1),(92,1)}
        82:{2,5,7}:{(69,1),(71,1),(74,1),(88,1)}
        83:{1,5,7}:{(70,1),(71,1),(75,1),(89,1)}
        84:{3,6}:{(72,1),(73,1),(93,1)}
        85:{1,2,4,7}:{(73,1),(74,1),(75,1),(76,1),(92,1),(93,1),(101,1)}
        86:{3,5,7}:{(77,1),(78,1),(80,1),(94,1),(95,1)}
        87:{1,2,6}:{(78,1),(95,1)}
        88:{2,6,7}:{(79,1),(82,1)}
        89:{1,6,7}:{(79,1),(83,1)}
        90:{4,5}:{(80,1),(97,1)}
        91:{3,5,6}:{(80,1),(81,1),(84,1),(95,1),(97,1),(98,1),(102,1)}
        92:{1,2,5,7}:{(81,1),(82,1),(83,1),(85,1),(96,1),(98,1)}
        93:{3,7}:{(84,1),(85,1)}
        94:{4,5,7}:{(86,1),(90,1),(99,1),(101,1),(104,1)}
        95:{3,6}:{(86,1),(87,1),(99,1)}
        96:{1,2,6,7}:{(87,1),(88,1),(89,1),(92,1),(100,1)}
        97:{4,6}:{(90,1),(91,1),(101,1)}
        98:{3,5,7}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        99:{4,6}:{(94,1),(95,1),(102,1)}
       100:{3,6,7}:{(95,1),(96,1),(98,1),(103,1)}
       101:{4,7}:{(97,1),(98,1)}
       102:{5,6}:{(99,1),(104,1)}
       103:{4,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

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

 644 :   0:{2,4,5,6}:{(2,1),(3,1),(22,1),(82,1),(83,1)}
         1:{2,3,4,6}:{(5,1),(6,1),(7,1),(22,1),(36,1),(65,1),(78,1),(114,1),(130,1)}
         2:{3,5,6}:{(0,1),(8,1),(9,1),(11,1)}
         3:{2,4,5,7}:{(0,1),(11,1),(12,1),(43,1),(96,1),(97,1)}
         4:{3,4,5}:{(8,1),(13,1),(14,1),(52,1)}
         5:{2,3,5}:{(1,1),(14,1),(16,1),(52,1),(137,1),(153,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(19,1),(57,1),(59,1),(110,1)}
         7:{2,3,4,7}:{(1,1),(17,1),(19,1),(43,1),(93,1),(106,1),(138,1),(189,1)}
         8:{3,4,6}:{(2,1),(4,1),(21,1),(22,1),(23,1),(65,1)}
         9:{1,5,6}:{(2,1),(21,1),(25,1)}
        10:{2,3,5,6}:{(2,1),(5,1),(22,1),(24,1),(26,1),(36,1),(65,1),(82,1),(131,1)}
        11:{3,5,7}:{(2,1),(3,1),(23,1),(25,1),(27,1)}
        12:{2,4,6,7}:{(3,1),(27,1),(28,1),(74,1)}
        13:{1,4,5}:{(4,1),(21,1),(29,1)}
        14:{2,4,5}:{(4,1),(5,1),(22,1),(173,1)}
        15:{3,4,5,7}:{(4,1),(23,1),(31,1),(32,1),(33,1),(69,1),(79,1),(136,1),(163,1),(166,1),(173,1)}
        16:{1,2,5}:{(5,1),(6,1),(34,1),(133,1)}
        17:{2,3,5,7}:{(5,1),(7,1),(32,1),(35,1),(36,1),(79,1),(159,1),(176,1),(195,1)}
        18:{1,3,6}:{(6,1),(34,1),(37,1),(65,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(35,1),(37,1),(84,1),(200,1)}
        20:{1,3,4}:{(29,1),(38,1),(78,1)}
        21:{1,4,6}:{(8,1),(9,1),(13,1),(40,1),(42,1)}
        22:{2,4,6}:{(8,1),(10,1),(14,1),(43,1),(154,1)}
        23:{3,4,7}:{(8,1),(11,1),(42,1),(43,1),(93,1)}
        24:{1,2,5,6}:{(9,1),(10,1),(16,1),(41,1),(45,1),(46,1),(59,1),(137,1),(177,1)}
        25:{1,5,7}:{(9,1),(11,1),(42,1),(47,1)}
        26:{2,3,5,7}:{(10,1),(11,1),(43,1),(46,1),(48,1),(93,1),(96,1),(144,1)}
        27:{3,6,7}:{(11,1),(12,1),(47,1)}
        28:{2,5,6,7}:{(12,1),(49,1),(96,1),(148,1)}
        29:{1,3,5}:{(13,1),(20,1),(40,1),(50,1),(52,1)}
        30:{1,2,4,5}:{(13,1),(14,1),(16,1),(41,1),(50,1),(52,1),(57,1),(98,1),(102,1),(137,1)}
        31:{1,4,5,7}:{(13,1),(15,1),(42,1),(51,1),(54,1),(95,1),(113,1),(141,1)}
        32:{2,4,5,7}:{(14,1),(15,1),(17,1),(43,1),(55,1),(96,1),(158,1),(181,1)}
        33:{3,4,6}:{(15,1),(54,1),(55,1),(56,1),(107,1),(154,1)}
        34:{1,3,5}:{(16,1),(18,1),(52,1),(57,1)}
        35:{1,2,5,7}:{(16,1),(17,1),(19,1),(58,1),(59,1),(190,1),(204,1)}
        36:{2,3,6}:{(17,1),(55,1),(59,1),(107,1),(177,1)}
        37:{1,3,7}:{(18,1),(19,1),(93,1),(206,1)}
        38:{1,2,4}:{(20,1),(50,1),(60,1),(102,1)}
        39:{1,3,4,7}:{(20,1),(51,1),(61,1),(62,1),(106,1),(141,1),(180,1),(203,1)}
        40:{1,3,6}:{(21,1),(29,1),(63,1),(64,1),(65,1)}
        41:{1,2,4,6}:{(21,1),(22,1),(24,1),(30,1),(63,1),(65,1),(66,1),(70,1),(114,1)}
        42:{1,4,7}:{(21,1),(23,1),(25,1),(64,1)}
        43:{2,4,7}:{(22,1),(23,1),(26,1),(166,1)}
        44:{3,4,6,7}:{(23,1),(27,1),(33,1),(67,1),(68,1),(69,1),(74,1),(120,1),(125,1),(163,1),(166,1)}
        45:{1,3,5,6}:{(24,1),(34,1),(65,1),(70,1),(71,1),(85,1),(118,1),(131,1),(133,1),(164,1),(168,1)}
        46:{1,2,5,7}:{(24,1),(25,1),(26,1),(66,1),(71,1),(72,1),(159,1)}
        47:{1,6,7}:{(25,1),(27,1)}
        48:{2,3,6,7}:{(26,1),(27,1),(36,1),(68,1),(72,1),(120,1),(195,1)}
        49:{3,5,6,7}:{(27,1),(28,1),(69,1),(73,1),(74,1),(125,1)}
        50:{1,2,5}:{(29,1),(38,1),(63,1),(75,1)}
        51:{1,3,5,7}:{(29,1),(31,1),(39,1),(64,1),(76,1),(77,1),(79,1),(88,1),(208,1)}
        52:{3,5}:{(30,1),(65,1),(78,1)}
        53:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(66,1),(76,1),(79,1),(80,1),(84,1),(121,1),(123,1),(126,1),(133,1),(135,1),(159,1),(162,1),(166,1),(169,1),(173,1),(192,1),(208,1)}
        54:{1,4,6}:{(31,1),(33,1),(77,1),(81,1)}
        55:{2,4,6}:{(32,1),(33,1),(36,1),(82,1)}
        56:{3,5,6}:{(33,1),(69,1),(81,1),(82,1),(83,1)}
        57:{1,4}:{(34,1),(78,1)}
        58:{1,3,5,7}:{(34,1),(35,1),(37,1),(79,1),(84,1),(85,1),(133,1),(175,1),(194,1),(208,1)}
        59:{1,2,6}:{(35,1),(36,1),(85,1)}
        60:{2,3}:{(38,1)}
        61:{1,2,4,7}:{(38,1),(39,1),(76,1),(86,1),(87,1),(126,1)}
        62:{1,3,4,6}:{(39,1),(77,1),(87,1),(88,1),(129,1),(130,1),(171,1),(174,1),(198,1)}
        63:{1,2,6}:{(40,1),(50,1),(89,1),(90,1)}
        64:{1,3,7}:{(40,1),(42,1),(90,1),(93,1)}
        65:{3,6}:{(41,1),(52,1),(93,1)}
        66:{1,2,4,7}:{(41,1),(42,1),(43,1),(46,1),(90,1),(93,1),(99,1),(138,1)}
        67:{1,4,6,7}:{(42,1),(44,1),(47,1),(54,1),(91,1),(95,1),(141,1)}
        68:{2,4,6,7}:{(43,1),(44,1),(48,1),(55,1),(96,1),(148,1),(181,1)}
        69:{3,5,7}:{(44,1),(56,1),(95,1),(96,1),(97,1)}
        70:{1,4,6}:{(45,1),(57,1),(92,1),(98,1),(99,1),(154,1)}
        71:{1,3,5,7}:{(45,1),(46,1),(93,1),(99,1),(100,1),(142,1),(144,1),(147,1)}
        72:{1,2,6,7}:{(46,1),(47,1),(48,1),(59,1),(100,1),(177,1),(204,1)}
        73:{1,5,6,7}:{(47,1),(49,1),(95,1),(101,1)}
        74:{4,6,7}:{(49,1),(97,1)}
        75:{2,3,5}:{(50,1),(52,1),(60,1),(89,1),(102,1),(137,1)}
        76:{1,2,5,7}:{(50,1),(51,1),(61,1),(90,1),(103,1),(104,1),(112,1)}
        77:{1,3,6}:{(51,1),(54,1),(104,1),(107,1),(209,1)}
        78:{3,4}:{(52,1),(57,1),(102,1)}
        79:{3,5,7}:{(52,1),(53,1),(93,1),(106,1),(107,1),(153,1),(157,1),(180,1)}
        80:{1,2,4,6}:{(53,1),(54,1),(55,1),(59,1),(104,1),(107,1),(108,1),(110,1),(146,1),(149,1),(154,1),(177,1),(201,1),(209,1)}
        81:{1,5,6}:{(54,1),(56,1),(95,1)}
        82:{2,5,6}:{(55,1),(56,1),(96,1)}
        83:{4,5,6}:{(56,1),(97,1),(154,1)}
        84:{1,4,7}:{(57,1),(58,1),(106,1),(110,1),(188,1)}
        85:{1,3,6}:{(58,1),(59,1),(107,1),(110,1),(209,1)}
        86:{2,3,7}:{(60,1),(61,1),(111,1),(180,1)}
        87:{1,2,4,6}:{(61,1),(62,1),(104,1),(111,1),(112,1),(149,1),(156,1)}
        88:{1,3,5}:{(62,1),(112,1),(113,1),(153,1),(157,1),(205,1)}
        89:{2,3,6}:{(63,1),(65,1),(75,1),(114,1),(115,1)}
        90:{1,2,7}:{(63,1),(64,1),(115,1)}
        91:{1,3,6,7}:{(64,1),(67,1),(77,1),(116,1),(117,1),(120,1),(125,1)}
        92:{3,4,6}:{(65,1),(70,1),(78,1),(114,1),(118,1),(119,1),(164,1)}
        93:{3,7}:{(65,1),(66,1)}
        94:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(72,1),(80,1),(116,1),(120,1),(121,1),(124,1),(160,1),(162,1),(166,1)}
        95:{1,5,7}:{(67,1),(69,1),(81,1)}
        96:{2,5,7}:{(68,1),(69,1),(82,1)}
        97:{4,5,7}:{(69,1),(74,1),(83,1),(166,1)}
        98:{1,4,5}:{(70,1),(118,1),(133,1),(173,1)}
        99:{1,4,7}:{(70,1),(71,1),(119,1),(166,1)}
       100:{1,3,6,7}:{(71,1),(72,1),(85,1),(120,1),(124,1),(164,1),(194,1)}
       101:{1,4,6,7}:{(73,1),(74,1),(122,1),(125,1)}
       102:{2,4}:{(75,1),(78,1)}
       103:{2,3,5,7}:{(75,1),(76,1),(79,1),(86,1),(115,1),(126,1),(127,1),(134,1),(159,1),(169,1)}
       104:{1,2,6}:{(76,1),(77,1),(127,1)}
       105:{1,3,5,6}:{(77,1),(81,1),(88,1),(117,1),(128,1),(129,1),(131,1),(132,1),(171,1)}
       106:{3,4,7}:{(78,1),(79,1),(84,1),(126,1),(130,1),(166,1),(174,1)}
       107:{3,6}:{(79,1),(80,1)}
       108:{1,2,5,6}:{(80,1),(81,1),(82,1),(121,1),(131,1),(133,1),(168,1),(169,1),(191,1)}
       109:{1,4,5,6}:{(81,1),(83,1),(122,1),(129,1),(132,1)}
       110:{1,4,6}:{(84,1),(85,1),(130,1),(133,1)}
       111:{2,3,6}:{(86,1),(87,1),(134,1),(171,1)}
       112:{1,2,5}:{(87,1),(88,1),(134,1),(169,1)}
       113:{1,4,5}:{(88,1),(129,1),(136,1),(173,1)}
       114:{2,4,6}:{(89,1),(92,1),(102,1),(137,1),(138,1),(177,1)}
       115:{2,3,7}:{(89,1),(90,1),(93,1),(138,1)}
       116:{1,2,6,7}:{(90,1),(91,1),(104,1),(139,1),(140,1),(148,1),(209,1)}
       117:{1,3,5,7}:{(91,1),(95,1),(105,1),(140,1),(141,1),(144,1),(145,1),(180,1)}
       118:{3,5}:{(92,1),(98,1),(137,1)}
       119:{3,4,7}:{(92,1),(93,1),(99,1),(138,1),(142,1)}
       120:{3,6,7}:{(93,1),(94,1),(107,1),(144,1),(180,1)}
       121:{1,2,5,7}:{(94,1),(95,1),(96,1),(108,1),(144,1),(147,1),(178,1)}
       122:{1,4,5,7}:{(95,1),(97,1),(101,1),(109,1),(141,1),(145,1)}
       123:{1,4,5,7}:{(98,1),(99,1),(142,1),(146,1),(147,1),(183,1)}
       124:{1,4,6,7}:{(99,1),(100,1),(110,1),(143,1),(146,1),(147,1),(203,1),(209,1)}
       125:{3,6,7}:{(101,1),(145,1),(148,1)}
       126:{2,4,7}:{(102,1),(103,1),(106,1),(149,1),(156,1)}
       127:{2,3,6}:{(103,1),(104,1),(107,1),(149,1),(177,1)}
       128:{1,2,5,6}:{(104,1),(105,1),(112,1),(140,1),(150,1),(151,1),(155,1),(205,1),(209,1)}
       129:{1,4,6}:{(105,1),(113,1),(141,1),(152,1),(154,1)}
       130:{3,4,6}:{(106,1),(107,1),(110,1),(149,1),(153,1),(154,1)}
       131:{3,5,6}:{(107,1),(108,1),(144,1),(153,1),(154,1)}
       132:{3,5,6}:{(109,1),(145,1),(152,1),(155,1)}
       133:{1,5}:{(110,1),(153,1)}
       134:{2,3,5}:{(111,1),(112,1),(156,1),(157,1)}
       135:{1,2,4,5}:{(112,1),(113,1),(151,1),(156,1),(157,1),(158,1),(184,1),(188,1),(190,1),(205,1)}
       136:{3,4,5}:{(113,1),(152,1),(157,1),(158,1)}
       137:{2,5}:{(114,1),(118,1)}
       138:{2,4,7}:{(114,1),(115,1),(119,1),(159,1)}
       139:{2,3,6,7}:{(115,1),(116,1),(120,1),(127,1),(160,1),(161,1),(207,1)}
       140:{1,2,5,7}:{(116,1),(117,1),(128,1),(161,1),(162,1),(167,1),(208,1)}
       141:{1,4,7}:{(117,1),(129,1),(163,1),(166,1)}
       142:{3,5,7}:{(118,1),(119,1),(123,1),(159,1),(164,1)}
       143:{3,4,6,7}:{(119,1),(120,1),(124,1),(130,1),(160,1),(164,1),(165,1),(166,1),(193,1),(196,1),(207,1)}
       144:{3,5,7}:{(120,1),(121,1),(131,1),(166,1)}
       145:{3,5,7}:{(122,1),(125,1),(132,1),(163,1),(167,1)}
       146:{1,4,6}:{(123,1),(164,1),(168,1),(196,1)}
       147:{1,5,7}:{(124,1),(133,1),(165,1),(168,1)}
       148:{2,6,7}:{(125,1),(167,1)}
       149:{2,4,6}:{(126,1),(127,1),(130,1),(169,1)}
       150:{2,3,5,6}:{(127,1),(128,1),(131,1),(134,1),(161,1),(169,1),(170,1),(171,1),(191,1),(197,1),(207,1)}
       151:{1,2,4,6}:{(128,1),(129,1),(135,1),(162,1),(170,1),(171,1),(172,1),(198,1),(199,1)}
       152:{3,4,6}:{(129,1),(132,1),(136,1),(163,1),(171,1),(172,1)}
       153:{3,5}:{(130,1),(133,1),(169,1),(173,1)}
       154:{4,6}:{(131,1),(166,1),(173,1)}
       155:{2,5,6}:{(132,1),(167,1),(172,1)}
       156:{2,4}:{(134,1),(174,1)}
       157:{3,5}:{(135,1),(171,1),(174,1)}
       158:{2,4,5}:{(136,1),(172,1),(176,1)}
       159:{2,5,7}:{(137,1),(138,1),(142,1),(177,1)}
       160:{2,4,6,7}:{(138,1),(139,1),(143,1),(149,1),(177,1),(178,1),(179,1),(201,1)}
       161:{2,3,5,7}:{(139,1),(140,1),(144,1),(150,1),(178,1),(179,1),(180,1),(202,1)}
       162:{1,2,4,7}:{(140,1),(141,1),(151,1),(179,1),(180,1),(181,1),(203,1),(204,1)}
       163:{3,4,7}:{(141,1),(145,1),(152,1),(180,1),(181,1)}
       164:{3,6}:{(142,1),(146,1),(177,1)}
       165:{3,5,7}:{(143,1),(147,1),(153,1),(178,1),(182,1),(183,1)}
       166:{4,7}:{(144,1),(154,1)}
       167:{2,5,7}:{(145,1),(148,1),(155,1),(181,1)}
       168:{1,5,6}:{(146,1),(147,1),(182,1),(209,1)}
       169:{2,5}:{(149,1),(153,1)}
       170:{2,4,6}:{(150,1),(154,1),(156,1),(179,1),(184,1),(185,1)}
       171:{3,6}:{(151,1),(157,1),(180,1)}
       172:{2,4,6}:{(152,1),(155,1),(158,1),(181,1),(187,1)}
       173:{4,5}:{(153,1),(154,1)}
       174:{3,4}:{(156,1),(157,1),(188,1)}
       175:{1,3,5}:{(157,1),(186,1),(188,1),(190,1),(205,1),(206,1)}
       176:{2,3,5}:{(157,1),(158,1),(187,1),(189,1),(190,1)}
       177:{2,6}:{(159,1),(164,1)}
       178:{2,5,7}:{(160,1),(165,1),(169,1),(191,1)}
       179:{2,4,7}:{(161,1),(166,1),(170,1),(193,1)}
       180:{3,7}:{(162,1),(171,1)}
       181:{2,4,7}:{(163,1),(167,1),(172,1),(195,1)}
       182:{3,5,6}:{(164,1),(165,1),(168,1),(191,1),(196,1),(207,1)}
       183:{4,5,7}:{(165,1),(166,1),(173,1),(196,1)}
       184:{2,4,5}:{(169,1),(170,1),(173,1),(197,1)}
       185:{3,4,6}:{(170,1),(171,1),(174,1),(193,1),(197,1),(198,1),(207,1)}
       186:{1,3,6}:{(171,1),(175,1),(194,1),(198,1),(199,1)}
       187:{2,3,6}:{(171,1),(172,1),(176,1),(195,1),(199,1)}
       188:{1,4}:{(174,1),(175,1)}
       189:{2,3,4}:{(174,1),(176,1),(200,1)}
       190:{1,2,5}:{(175,1),(176,1),(199,1),(200,1)}
       191:{2,5,6}:{(177,1),(178,1),(182,1),(201,1)}
       192:{2,4,5,7}:{(178,1),(179,1),(183,1),(184,1),(201,1),(202,1)}
       193:{3,4,7}:{(179,1),(180,1),(185,1),(202,1),(203,1)}
       194:{1,3,7}:{(180,1),(186,1),(203,1),(204,1)}
       195:{2,3,7}:{(180,1),(181,1),(187,1),(204,1)}
       196:{4,6}:{(182,1),(183,1)}
       197:{3,5}:{(184,1),(185,1),(205,1)}
       198:{1,4,6}:{(185,1),(186,1),(188,1),(203,1),(205,1),(209,1)}
       199:{1,2,6}:{(186,1),(187,1),(190,1),(204,1)}
       200:{1,2,4}:{(188,1),(189,1),(190,1),(206,1)}
       201:{2,4,6}:{(191,1),(192,1),(196,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(197,1),(207,1),(208,1)}
       203:{1,4,7}:{(193,1),(194,1),(198,1),(208,1)}
       204:{1,2,7}:{(194,1),(195,1),(199,1)}
       205:{1,5}:{(197,1),(198,1)}
       206:{1,3}:{(200,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{1,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

 645 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(60,1),(67,1),(128,1),(181,1),(186,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(7,1),(33,1),(34,1),(47,1),(98,1),(108,1),(143,1),(151,1),(154,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(8,1),(9,1),(12,1),(34,1),(166,1),(192,1),(198,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(41,1),(199,1)}
         4:{2,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(44,1),(91,1),(101,1),(103,1),(161,1)}
         5:{1,4,5,7}:{(1,1),(14,1),(17,1),(57,1),(74,1),(77,1),(111,1),(129,1)}
         6:{2,4,5,7}:{(1,1),(2,1),(18,1),(26,1),(58,1),(67,1),(139,1),(170,1)}
         7:{3,4,6}:{(1,1),(17,1),(18,1),(19,1),(61,1),(123,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(21,1),(22,1),(25,1),(187,1),(203,1)}
         9:{2,3,6}:{(2,1),(18,1),(22,1),(61,1),(205,1)}
        10:{1,3,7}:{(3,1),(24,1),(128,1),(206,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(22,1),(24,1),(25,1),(68,1),(72,1)}
        12:{2,3,5}:{(4,1),(25,1),(26,1),(73,1),(122,1),(183,1)}
        13:{1,3,4,7}:{(14,1),(27,1),(28,1),(60,1),(111,1),(134,1),(169,1),(202,1)}
        14:{1,3,5,7}:{(5,1),(13,1),(29,1),(30,1),(34,1),(50,1),(104,1),(158,1),(208,1)}
        15:{3,4,6,7}:{(7,1),(31,1),(32,1),(33,1),(86,1),(87,1),(98,1),(143,1),(148,1),(149,1),(151,1)}
        16:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(29,1),(34,1),(35,1),(41,1),(46,1),(80,1),(88,1),(97,1),(99,1),(107,1),(142,1),(144,1),(151,1),(154,1),(156,1),(189,1),(198,1),(208,1)}
        17:{1,4,6}:{(5,1),(7,1),(30,1),(36,1)}
        18:{2,4,6}:{(6,1),(7,1),(9,1),(37,1)}
        19:{3,5,6}:{(7,1),(33,1),(36,1),(37,1),(38,1)}
        20:{2,3,6,7}:{(9,1),(32,1),(39,1),(40,1),(87,1),(149,1),(192,1)}
        21:{1,3,5,7}:{(8,1),(10,1),(34,1),(41,1),(42,1),(45,1),(99,1),(165,1),(191,1),(208,1)}
        22:{1,2,6}:{(8,1),(9,1),(42,1)}
        23:{2,3,5,6}:{(9,1),(12,1),(37,1),(40,1),(43,1),(44,1),(92,1),(94,1),(101,1)}
        24:{1,3,6}:{(10,1),(11,1),(45,1),(101,1)}
        25:{1,2,5}:{(11,1),(12,1),(45,1),(99,1)}
        26:{2,4,5}:{(12,1),(44,1),(47,1),(154,1)}
        27:{1,2,4,7}:{(13,1),(29,1),(48,1),(49,1),(80,1),(163,1)}
        28:{1,3,4,6}:{(13,1),(30,1),(49,1),(50,1),(83,1),(91,1),(146,1),(164,1),(194,1)}
        29:{1,2,5,7}:{(14,1),(27,1),(52,1),(53,1),(76,1),(136,1),(182,1)}
        30:{1,3,6}:{(14,1),(17,1),(53,1),(61,1),(209,1)}
        31:{1,4,6,7}:{(15,1),(17,1),(51,1),(57,1),(111,1),(129,1),(176,1)}
        32:{2,4,6,7}:{(15,1),(18,1),(20,1),(58,1),(67,1),(170,1),(175,1)}
        33:{3,5,7}:{(15,1),(19,1),(57,1),(58,1),(59,1)}
        34:{3,5,7}:{(16,1),(60,1),(61,1),(73,1),(122,1),(128,1),(138,1),(169,1)}
        35:{1,2,4,6}:{(16,1),(17,1),(18,1),(22,1),(53,1),(61,1),(62,1),(68,1),(112,1),(123,1),(179,1),(200,1),(205,1),(209,1)}
        36:{1,5,6}:{(17,1),(19,1),(57,1)}
        37:{2,5,6}:{(18,1),(19,1),(58,1)}
        38:{4,5,6}:{(19,1),(59,1),(123,1)}
        39:{1,2,6,7}:{(20,1),(22,1),(65,1),(66,1),(176,1),(203,1),(205,1)}
        40:{2,3,5,7}:{(20,1),(23,1),(58,1),(66,1),(67,1),(119,1),(121,1),(128,1)}
        41:{1,4,7}:{(21,1),(60,1),(68,1),(72,1),(185,1)}
        42:{1,3,6}:{(21,1),(22,1),(61,1),(68,1),(209,1)}
        43:{1,2,5,6}:{(22,1),(23,1),(25,1),(66,1),(69,1),(70,1),(125,1),(183,1),(205,1)}
        44:{2,4,6}:{(23,1),(26,1),(67,1),(71,1),(123,1)}
        45:{1,3,5}:{(24,1),(25,1),(72,1),(73,1)}
        46:{1,2,4,5}:{(25,1),(26,1),(70,1),(72,1),(73,1),(74,1),(130,1),(135,1),(136,1),(183,1)}
        47:{3,4,5}:{(26,1),(71,1),(73,1),(74,1)}
        48:{2,3,7}:{(27,1),(75,1),(169,1),(184,1)}
        49:{1,2,4,6}:{(27,1),(28,1),(53,1),(75,1),(76,1),(112,1),(137,1)}
        50:{1,3,5}:{(28,1),(76,1),(77,1),(122,1),(138,1),(204,1)}
        51:{1,3,6,7}:{(30,1),(31,1),(78,1),(79,1),(87,1),(148,1),(158,1)}
        52:{2,3,5,7}:{(29,1),(34,1),(48,1),(80,1),(81,1),(105,1),(106,1),(144,1),(159,1),(198,1)}
        53:{1,2,6}:{(29,1),(30,1),(81,1)}
        54:{1,3,5,6}:{(30,1),(36,1),(50,1),(79,1),(82,1),(83,1),(92,1),(93,1),(146,1)}
        55:{3,5,6,7}:{(33,1),(84,1),(85,1),(86,1),(148,1),(149,1)}
        56:{1,2,4,6,7}:{(31,1),(32,1),(35,1),(39,1),(78,1),(87,1),(88,1),(95,1),(97,1),(140,1),(142,1),(151,1)}
        57:{1,5,7}:{(31,1),(33,1),(36,1)}
        58:{2,5,7}:{(32,1),(33,1),(37,1)}
        59:{4,5,7}:{(33,1),(38,1),(86,1),(151,1)}
        60:{3,4,7}:{(34,1),(41,1),(80,1),(91,1),(103,1),(151,1),(164,1)}
        61:{3,6}:{(34,1),(35,1)}
        62:{1,2,5,6}:{(35,1),(36,1),(37,1),(88,1),(92,1),(99,1),(144,1),(155,1),(188,1)}
        63:{1,4,5,6}:{(36,1),(38,1),(83,1),(89,1),(93,1)}
        64:{2,4,5,6}:{(37,1),(38,1),(44,1),(90,1),(94,1)}
        65:{1,3,6,7}:{(39,1),(42,1),(87,1),(95,1),(96,1),(191,1),(197,1)}
        66:{1,2,5,7}:{(39,1),(40,1),(43,1),(96,1),(97,1),(153,1),(198,1)}
        67:{2,4,7}:{(40,1),(44,1),(98,1),(151,1)}
        68:{1,4,6}:{(41,1),(42,1),(91,1),(99,1)}
        69:{1,3,5,6}:{(42,1),(43,1),(45,1),(92,1),(96,1),(99,1),(100,1),(101,1),(155,1),(160,1),(197,1)}
        70:{1,2,4,6}:{(43,1),(44,1),(46,1),(97,1),(100,1),(101,1),(102,1),(161,1),(162,1)}
        71:{3,4,6}:{(44,1),(47,1),(94,1),(98,1),(101,1),(102,1)}
        72:{1,4}:{(45,1),(103,1)}
        73:{3,5}:{(46,1),(101,1),(103,1)}
        74:{1,4,5}:{(47,1),(102,1),(104,1)}
        75:{2,3,6}:{(48,1),(49,1),(106,1),(146,1)}
        76:{1,2,5}:{(49,1),(50,1),(106,1),(144,1)}
        77:{1,4,5}:{(50,1),(83,1),(108,1),(154,1)}
        78:{1,2,6,7}:{(51,1),(53,1),(109,1),(110,1),(175,1),(182,1),(209,1)}
        79:{1,3,5,7}:{(51,1),(54,1),(57,1),(110,1),(111,1),(119,1),(120,1),(169,1)}
        80:{2,4,7}:{(52,1),(60,1),(112,1),(135,1),(137,1)}
        81:{2,3,6}:{(52,1),(53,1),(61,1),(112,1),(205,1)}
        82:{1,2,5,6}:{(53,1),(54,1),(76,1),(110,1),(113,1),(114,1),(124,1),(204,1),(209,1)}
        83:{1,4,6}:{(54,1),(77,1),(111,1),(115,1),(123,1)}
        84:{1,5,6,7}:{(55,1),(57,1),(116,1),(176,1)}
        85:{2,5,6,7}:{(55,1),(58,1),(117,1),(175,1)}
        86:{4,6,7}:{(55,1),(59,1)}
        87:{3,6,7}:{(56,1),(61,1),(119,1),(128,1),(169,1)}
        88:{1,2,5,7}:{(56,1),(57,1),(58,1),(62,1),(119,1),(126,1),(167,1)}
        89:{1,4,5,7}:{(57,1),(59,1),(63,1),(111,1),(116,1),(120,1)}
        90:{2,4,5,7}:{(58,1),(59,1),(64,1),(67,1),(117,1),(121,1)}
        91:{3,4,6}:{(60,1),(61,1),(68,1),(112,1),(122,1),(123,1)}
        92:{3,5,6}:{(61,1),(62,1),(119,1),(122,1),(123,1)}
        93:{3,5,6}:{(63,1),(115,1),(120,1),(124,1)}
        94:{3,5,6}:{(64,1),(71,1),(121,1),(125,1)}
        95:{1,4,6,7}:{(65,1),(68,1),(118,1),(126,1),(127,1),(179,1),(202,1),(209,1)}
        96:{1,3,5,7}:{(65,1),(66,1),(69,1),(119,1),(126,1),(127,1),(128,1),(180,1)}
        97:{1,2,4,7}:{(66,1),(67,1),(70,1),(127,1),(128,1),(129,1),(181,1),(182,1)}
        98:{3,4,7}:{(67,1),(71,1),(121,1),(128,1),(129,1)}
        99:{1,5}:{(68,1),(122,1)}
       100:{1,4,6}:{(69,1),(72,1),(123,1),(127,1),(130,1),(131,1)}
       101:{3,6}:{(70,1),(73,1),(128,1)}
       102:{1,4,6}:{(71,1),(74,1),(125,1),(129,1),(132,1)}
       103:{3,4}:{(72,1),(73,1),(135,1)}
       104:{1,3,5}:{(73,1),(74,1),(132,1),(134,1),(136,1)}
       105:{2,3,5}:{(73,1),(133,1),(135,1),(136,1),(183,1),(184,1)}
       106:{2,3,5}:{(75,1),(76,1),(137,1),(138,1)}
       107:{1,2,4,5}:{(76,1),(77,1),(114,1),(137,1),(138,1),(139,1),(171,1),(185,1),(187,1),(204,1)}
       108:{3,4,5}:{(77,1),(115,1),(138,1),(139,1)}
       109:{2,3,6,7}:{(78,1),(81,1),(87,1),(140,1),(141,1),(159,1),(207,1)}
       110:{1,2,5,7}:{(78,1),(79,1),(82,1),(141,1),(142,1),(152,1),(208,1)}
       111:{1,4,7}:{(79,1),(83,1),(143,1),(151,1)}
       112:{2,4,6}:{(80,1),(81,1),(91,1),(144,1)}
       113:{2,3,5,6}:{(81,1),(82,1),(92,1),(106,1),(141,1),(144,1),(145,1),(146,1),(188,1),(193,1),(207,1)}
       114:{1,2,4,6}:{(82,1),(83,1),(107,1),(142,1),(145,1),(146,1),(147,1),(194,1),(195,1)}
       115:{3,4,6}:{(83,1),(93,1),(108,1),(143,1),(146,1),(147,1)}
       116:{1,4,6,7}:{(84,1),(86,1),(89,1),(148,1)}
       117:{2,4,6,7}:{(85,1),(86,1),(90,1),(149,1)}
       118:{3,4,6,7}:{(87,1),(91,1),(95,1),(140,1),(150,1),(151,1),(157,1),(190,1),(196,1),(197,1),(207,1)}
       119:{3,5,7}:{(87,1),(88,1),(92,1),(151,1)}
       120:{3,5,7}:{(89,1),(93,1),(143,1),(148,1),(152,1)}
       121:{3,5,7}:{(90,1),(94,1),(98,1),(149,1),(153,1)}
       122:{3,5}:{(91,1),(99,1),(144,1),(154,1)}
       123:{4,6}:{(92,1),(151,1),(154,1)}
       124:{2,5,6}:{(93,1),(147,1),(152,1)}
       125:{1,5,6}:{(94,1),(102,1),(153,1)}
       126:{1,5,7}:{(95,1),(99,1),(150,1),(155,1)}
       127:{1,4,7}:{(96,1),(100,1),(151,1),(157,1)}
       128:{3,7}:{(97,1),(101,1)}
       129:{1,4,7}:{(98,1),(102,1),(153,1),(158,1)}
       130:{1,4,5}:{(99,1),(100,1),(154,1),(160,1)}
       131:{3,4,6}:{(100,1),(101,1),(103,1),(157,1),(160,1),(161,1),(197,1)}
       132:{1,3,6}:{(101,1),(102,1),(104,1),(158,1),(162,1)}
       133:{2,3,6}:{(101,1),(105,1),(159,1),(161,1),(162,1)}
       134:{1,3,4}:{(103,1),(104,1),(163,1)}
       135:{2,4}:{(103,1),(105,1)}
       136:{1,2,5}:{(104,1),(105,1),(162,1),(163,1)}
       137:{2,4}:{(106,1),(164,1)}
       138:{3,5}:{(107,1),(146,1),(164,1)}
       139:{2,4,5}:{(108,1),(147,1),(166,1)}
       140:{2,4,6,7}:{(109,1),(112,1),(118,1),(167,1),(168,1),(181,1),(200,1),(205,1)}
       141:{2,3,5,7}:{(109,1),(110,1),(113,1),(119,1),(167,1),(168,1),(169,1),(201,1)}
       142:{1,2,4,7}:{(110,1),(111,1),(114,1),(168,1),(169,1),(170,1),(202,1),(203,1)}
       143:{3,4,7}:{(111,1),(115,1),(120,1),(169,1),(170,1)}
       144:{2,5}:{(112,1),(122,1)}
       145:{2,4,6}:{(113,1),(123,1),(137,1),(168,1),(171,1),(172,1)}
       146:{3,6}:{(114,1),(138,1),(169,1)}
       147:{2,4,6}:{(115,1),(124,1),(139,1),(170,1),(174,1)}
       148:{3,6,7}:{(116,1),(120,1),(175,1)}
       149:{3,6,7}:{(117,1),(121,1),(176,1)}
       150:{3,5,7}:{(118,1),(122,1),(126,1),(167,1),(177,1),(178,1)}
       151:{4,7}:{(119,1),(123,1)}
       152:{2,5,7}:{(120,1),(124,1),(170,1),(175,1)}
       153:{1,5,7}:{(121,1),(125,1),(129,1),(176,1)}
       154:{4,5}:{(122,1),(123,1)}
       155:{1,5,6}:{(126,1),(177,1),(179,1),(209,1)}
       156:{1,4,5,7}:{(126,1),(127,1),(130,1),(178,1),(179,1),(180,1)}
       157:{3,4,7}:{(127,1),(128,1),(131,1),(180,1),(181,1)}
       158:{1,3,7}:{(128,1),(129,1),(132,1),(182,1)}
       159:{2,3,7}:{(128,1),(133,1),(181,1),(182,1)}
       160:{3,5}:{(130,1),(131,1),(183,1)}
       161:{2,4,6}:{(131,1),(133,1),(135,1),(181,1),(183,1),(205,1)}
       162:{1,2,6}:{(132,1),(133,1),(136,1),(182,1)}
       163:{1,2,4}:{(134,1),(135,1),(136,1),(184,1)}
       164:{3,4}:{(137,1),(138,1),(185,1)}
       165:{1,3,5}:{(138,1),(173,1),(185,1),(187,1),(204,1),(206,1)}
       166:{2,3,5}:{(138,1),(139,1),(174,1),(186,1),(187,1)}
       167:{2,5,7}:{(140,1),(144,1),(150,1),(188,1)}
       168:{2,4,7}:{(141,1),(145,1),(151,1),(190,1)}
       169:{3,7}:{(142,1),(146,1)}
       170:{2,4,7}:{(143,1),(147,1),(152,1),(192,1)}
       171:{2,4,5}:{(144,1),(145,1),(154,1),(193,1)}
       172:{3,4,6}:{(145,1),(146,1),(164,1),(190,1),(193,1),(194,1),(207,1)}
       173:{1,3,6}:{(146,1),(165,1),(191,1),(194,1),(195,1)}
       174:{2,3,6}:{(146,1),(147,1),(166,1),(192,1),(195,1)}
       175:{2,6,7}:{(148,1),(152,1)}
       176:{1,6,7}:{(149,1),(153,1)}
       177:{3,5,6}:{(150,1),(155,1),(188,1),(196,1),(197,1),(207,1)}
       178:{4,5,7}:{(150,1),(151,1),(154,1),(196,1)}
       179:{1,4,6}:{(155,1),(156,1),(196,1),(197,1)}
       180:{3,5,7}:{(156,1),(157,1),(160,1),(197,1),(198,1)}
       181:{2,4,7}:{(157,1),(159,1),(161,1),(198,1)}
       182:{1,2,7}:{(158,1),(159,1),(162,1)}
       183:{2,5}:{(160,1),(161,1)}
       184:{2,3}:{(163,1)}
       185:{1,4}:{(164,1),(165,1)}
       186:{2,3,4}:{(164,1),(166,1),(199,1)}
       187:{1,2,5}:{(165,1),(166,1),(195,1),(199,1)}
       188:{2,5,6}:{(167,1),(177,1),(200,1),(205,1)}
       189:{2,4,5,7}:{(167,1),(168,1),(171,1),(178,1),(200,1),(201,1)}
       190:{3,4,7}:{(168,1),(169,1),(172,1),(201,1),(202,1)}
       191:{1,3,7}:{(169,1),(173,1),(202,1),(203,1)}
       192:{2,3,7}:{(169,1),(170,1),(174,1),(203,1)}
       193:{3,5}:{(171,1),(172,1),(204,1)}
       194:{1,4,6}:{(172,1),(173,1),(185,1),(202,1),(204,1),(209,1)}
       195:{1,2,6}:{(173,1),(174,1),(187,1),(203,1)}
       196:{4,6}:{(177,1),(178,1)}
       197:{3,6}:{(179,1),(180,1),(205,1)}
       198:{2,5,7}:{(180,1),(181,1),(183,1),(205,1)}
       199:{1,2,4}:{(185,1),(186,1),(187,1),(206,1)}
       200:{2,4,6}:{(188,1),(189,1),(196,1),(207,1)}
       201:{3,5,7}:{(189,1),(190,1),(193,1),(207,1),(208,1)}
       202:{1,4,7}:{(190,1),(191,1),(194,1),(208,1)}
       203:{1,2,7}:{(191,1),(192,1),(195,1)}
       204:{1,5}:{(193,1),(194,1)}
       205:{2,6}:{(197,1),(198,1)}
       206:{1,3}:{(199,1)}
       207:{3,6}:{(200,1),(201,1),(209,1)}
       208:{1,5,7}:{(201,1),(202,1),(204,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

 646 :  0:{2,3,4}:{(2,1),(3,1),(47,1)}
        1:{3,4,5}:{(5,1),(6,1),(7,1),(33,1),(73,1)}
        2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1),(33,1)}
        3:{1,2,4}:{(0,1),(9,1),(10,1),(36,1)}
        4:{4,5,6}:{(14,1),(15,1),(65,1),(83,1)}
        5:{3,4,6}:{(1,1),(15,1),(16,1),(17,1),(18,1),(46,1),(65,1)}
        6:{1,4,5}:{(1,1),(12,1),(17,1)}
        7:{2,4,5}:{(1,1),(2,1),(18,1)}
        8:{2,3,6}:{(2,1),(18,1),(20,1),(21,1),(46,1)}
        9:{1,2,5}:{(2,1),(3,1),(21,1),(22,1)}
       10:{1,3}:{(3,1)}
       11:{1,3,4}:{(12,1),(23,1),(47,1)}
       12:{1,3,5}:{(6,1),(11,1),(24,1),(25,1),(33,1)}
       13:{5,6,7}:{(26,1),(81,1)}
       14:{4,5,7}:{(4,1),(26,1),(27,1),(72,1),(81,1)}
       15:{3,5,6}:{(4,1),(5,1),(27,1),(28,1),(29,1)}
       16:{3,4,7}:{(5,1),(27,1),(30,1),(31,1),(57,1),(72,1)}
       17:{1,4,6}:{(5,1),(6,1),(24,1),(28,1),(30,1)}
       18:{2,4,6}:{(5,1),(7,1),(8,1),(29,1),(31,1)}
       19:{1,2,4,5}:{(6,1),(7,1),(9,1),(25,1),(32,1),(33,1),(36,1),(52,1),(60,1),(70,1),(73,1)}
       20:{2,3,7}:{(8,1),(31,1),(34,1),(57,1)}
       21:{1,2,6}:{(8,1),(9,1),(34,1),(35,1)}
       22:{1,3,5}:{(9,1),(10,1),(33,1),(35,1),(36,1),(60,1)}
       23:{1,2,4}:{(11,1),(25,1),(37,1),(52,1)}
       24:{1,3,6}:{(12,1),(17,1),(38,1),(39,1),(46,1)}
       25:{1,2,5}:{(12,1),(23,1),(39,1),(40,1)}
       26:{4,6,7}:{(13,1),(14,1),(41,1)}
       27:{3,5,7}:{(14,1),(15,1),(16,1),(41,1),(42,1),(43,1)}
       28:{1,5,6}:{(15,1),(17,1),(42,1)}
       29:{2,5,6}:{(15,1),(18,1),(43,1)}
       30:{1,4,7}:{(16,1),(17,1),(38,1),(42,1)}
       31:{2,4,7}:{(16,1),(18,1),(20,1),(43,1)}
       32:{1,2,4,6}:{(17,1),(18,1),(19,1),(21,1),(39,1),(44,1),(45,1),(46,1),(49,1),(62,1),(65,1)}
       33:{3,5}:{(19,1),(46,1),(47,1)}
       34:{1,2,7}:{(20,1),(21,1),(48,1)}
       35:{1,3,6}:{(21,1),(22,1),(46,1),(48,1),(49,1)}
       36:{1,4}:{(22,1),(47,1)}
       37:{2,3}:{(23,1)}
       38:{1,3,7}:{(24,1),(30,1),(50,1),(57,1)}
       39:{1,2,6}:{(24,1),(25,1),(50,1),(51,1)}
       40:{2,3,5}:{(25,1),(33,1),(37,1),(51,1),(52,1),(70,1)}
       41:{3,6,7}:{(26,1),(27,1),(53,1),(54,1)}
       42:{1,5,7}:{(27,1),(28,1),(30,1),(53,1)}
       43:{2,5,7}:{(27,1),(29,1),(31,1),(54,1)}
       44:{1,2,5,6}:{(28,1),(29,1),(32,1),(55,1),(56,1),(60,1),(70,1),(75,1),(80,1)}
       45:{1,2,4,7}:{(30,1),(31,1),(32,1),(34,1),(50,1),(55,1),(57,1),(59,1),(69,1),(72,1)}
       46:{3,6}:{(32,1),(33,1),(57,1)}
       47:{3,4}:{(33,1),(36,1),(52,1)}
       48:{1,3,7}:{(34,1),(35,1),(57,1),(59,1)}
       49:{1,4,6}:{(35,1),(36,1),(58,1),(59,1),(60,1),(75,1)}
       50:{1,2,7}:{(38,1),(39,1),(61,1)}
       51:{2,3,6}:{(39,1),(40,1),(46,1),(61,1),(62,1)}
       52:{2,4}:{(40,1),(47,1)}
       53:{1,6,7}:{(41,1),(42,1)}
       54:{2,6,7}:{(41,1),(43,1)}
       55:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(63,1),(64,1),(68,1),(76,1)}
       56:{3,5,6}:{(44,1),(46,1),(64,1),(65,1),(67,1),(79,1),(83,1)}
       57:{3,7}:{(45,1),(46,1)}
       58:{3,4,6}:{(46,1),(47,1),(49,1),(62,1),(65,1),(66,1),(67,1),(79,1)}
       59:{1,4,7}:{(48,1),(49,1),(66,1),(68,1)}
       60:{1,5}:{(49,1),(67,1)}
       61:{2,3,7}:{(50,1),(51,1),(57,1),(69,1)}
       62:{2,4,6}:{(51,1),(52,1),(58,1),(69,1),(70,1),(80,1)}
       63:{1,2,6,7}:{(53,1),(54,1),(55,1),(71,1),(75,1),(80,1)}
       64:{3,5,7}:{(55,1),(56,1),(57,1),(71,1),(72,1),(81,1)}
       65:{4,6}:{(56,1),(72,1),(73,1)}
       66:{3,4,7}:{(57,1),(58,1),(59,1),(69,1),(72,1),(74,1)}
       67:{3,5}:{(58,1),(60,1),(70,1),(73,1)}
       68:{1,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{2,4,7}:{(61,1),(62,1),(66,1),(76,1)}
       70:{2,5}:{(62,1),(67,1)}
       71:{3,6,7}:{(63,1),(64,1),(77,1),(79,1)}
       72:{4,7}:{(64,1),(65,1)}
       73:{4,5}:{(65,1),(67,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(78,1),(79,1)}
       75:{1,6}:{(68,1),(79,1)}
       76:{2,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       78:{4,5,7}:{(72,1),(73,1),(74,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(82,1)}
       80:{2,6}:{(76,1),(79,1)}
       81:{5,7}:{(77,1),(83,1)}
       82:{4,6}:{(78,1),(79,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 647 :   0:{1,3,6,7}:{(4,1),(6,1),(7,1),(25,1),(83,1),(121,1),(146,1)}
         1:{1,3,5,6}:{(5,1),(7,1),(8,1),(29,1),(32,1),(34,1),(70,1),(75,1),(83,1),(121,1),(152,1),(168,1)}
         2:{2,3,6,7}:{(4,1),(9,1),(10,1),(25,1),(88,1),(122,1),(147,1)}
         3:{2,3,5,6}:{(5,1),(10,1),(11,1),(29,1),(39,1),(41,1),(70,1),(76,1),(88,1),(122,1),(153,1),(168,1)}
         4:{1,2,6,7}:{(0,1),(2,1),(13,1),(106,1),(109,1),(141,1),(159,1)}
         5:{1,2,5,6}:{(1,1),(3,1),(13,1),(14,1),(58,1),(65,1),(102,1),(106,1),(109,1),(141,1),(162,1)}
         6:{1,4,6,7}:{(0,1),(15,1),(16,1),(18,1),(56,1),(135,1),(137,1),(142,1)}
         7:{1,3,5,7}:{(0,1),(1,1),(13,1),(16,1),(18,1),(46,1),(50,1),(57,1)}
         8:{1,4,6}:{(1,1),(17,1),(18,1),(19,1),(95,1),(97,1),(172,1)}
         9:{2,4,6,7}:{(2,1),(20,1),(21,1),(23,1),(63,1),(132,1),(138,1),(143,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(13,1),(21,1),(23,1),(46,1),(50,1),(64,1)}
        11:{2,4,6}:{(3,1),(22,1),(23,1),(24,1),(95,1),(98,1),(172,1)}
        12:{1,2,4,6,7}:{(4,1),(6,1),(9,1),(25,1),(26,1),(28,1),(30,1),(37,1),(67,1),(71,1),(73,1),(111,1),(154,1)}
        13:{1,2,5,7}:{(4,1),(5,1),(7,1),(10,1),(28,1),(84,1),(89,1)}
        14:{1,2,4,6}:{(5,1),(8,1),(11,1),(27,1),(28,1),(29,1),(36,1),(43,1),(79,1),(120,1)}
        15:{3,4,6,7}:{(6,1),(25,1),(30,1),(31,1),(35,1),(71,1),(82,1),(83,1),(115,1),(117,1),(124,1)}
        16:{1,5,7}:{(6,1),(31,1),(32,1),(152,1)}
        17:{1,4,5}:{(8,1),(34,1),(116,1),(152,1)}
        18:{1,4,7}:{(7,1),(8,1),(35,1),(71,1)}
        19:{3,4,6}:{(8,1),(29,1),(34,1),(35,1),(36,1),(72,1),(83,1)}
        20:{3,4,6,7}:{(9,1),(25,1),(37,1),(38,1),(42,1),(71,1),(87,1),(88,1),(113,1),(117,1),(126,1)}
        21:{2,5,7}:{(9,1),(38,1),(39,1),(153,1)}
        22:{2,4,5}:{(11,1),(41,1),(116,1),(153,1)}
        23:{2,4,7}:{(10,1),(11,1),(42,1),(71,1)}
        24:{3,4,6}:{(11,1),(29,1),(41,1),(42,1),(43,1),(72,1),(88,1)}
        25:{3,6,7}:{(12,1),(46,1),(50,1),(99,1),(129,1),(163,1)}
        26:{1,2,5,7}:{(12,1),(16,1),(21,1),(46,1),(47,1),(53,1),(60,1),(162,1)}
        27:{1,2,4,5}:{(14,1),(17,1),(22,1),(49,1),(58,1),(65,1),(97,1),(98,1),(102,1),(162,1),(172,1)}
        28:{1,2,4,7}:{(13,1),(14,1),(18,1),(23,1),(50,1),(59,1),(66,1),(103,1)}
        29:{3,6}:{(14,1),(49,1),(50,1),(140,1)}
        30:{2,4,6,7}:{(15,1),(45,1),(53,1),(59,1),(94,1),(104,1),(106,1),(138,1)}
        31:{3,5,7}:{(15,1),(16,1),(53,1),(54,1),(55,1),(136,1)}
        32:{1,5,6}:{(16,1),(54,1),(56,1),(142,1)}
        33:{1,4,5,7}:{(16,1),(17,1),(18,1),(55,1),(56,1),(57,1)}
        34:{3,5}:{(17,1),(19,1),(58,1)}
        35:{3,4,7}:{(18,1),(19,1),(50,1),(57,1),(59,1)}
        36:{2,4,6}:{(19,1),(52,1),(58,1),(59,1),(98,1),(106,1)}
        37:{1,4,6,7}:{(20,1),(44,1),(60,1),(66,1),(92,1),(107,1),(109,1),(137,1)}
        38:{3,5,7}:{(20,1),(21,1),(60,1),(61,1),(62,1),(136,1)}
        39:{2,5,6}:{(21,1),(61,1),(63,1),(143,1)}
        40:{2,4,5,7}:{(21,1),(22,1),(23,1),(62,1),(63,1),(64,1)}
        41:{3,5}:{(22,1),(24,1),(65,1)}
        42:{3,4,7}:{(23,1),(24,1),(50,1),(64,1),(66,1)}
        43:{1,4,6}:{(24,1),(51,1),(65,1),(66,1),(97,1),(109,1)}
        44:{1,3,6,7}:{(25,1),(37,1),(67,1),(68,1),(77,1),(121,1),(126,1)}
        45:{2,3,6,7}:{(25,1),(30,1),(67,1),(69,1),(78,1),(122,1),(124,1)}
        46:{3,5,7}:{(25,1),(26,1),(70,1),(71,1),(168,1)}
        47:{1,2,5,6}:{(26,1),(32,1),(39,1),(70,1),(73,1),(80,1),(85,1),(152,1),(153,1)}
        48:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(33,1),(40,1),(71,1),(73,1),(74,1),(81,1),(84,1),(86,1),(89,1),(111,1),(116,1),(118,1),(119,1),(123,1),(125,1),(127,1),(144,1),(152,1),(153,1)}
        49:{3,5}:{(27,1),(29,1),(72,1)}
        50:{3,7}:{(28,1),(29,1)}
        51:{1,3,6}:{(29,1),(43,1),(75,1),(77,1),(79,1)}
        52:{2,3,6}:{(29,1),(36,1),(76,1),(78,1),(79,1)}
        53:{2,5,7}:{(30,1),(31,1),(80,1),(153,1)}
        54:{3,5,6}:{(31,1),(32,1),(80,1),(82,1),(83,1),(124,1)}
        55:{4,5,7}:{(31,1),(71,1),(82,1),(116,1)}
        56:{1,4,6}:{(32,1),(33,1),(82,1),(83,1)}
        57:{3,5,7}:{(33,1),(34,1),(35,1),(83,1),(84,1)}
        58:{2,5}:{(34,1),(36,1)}
        59:{2,4,7}:{(35,1),(36,1),(78,1),(84,1)}
        60:{1,5,7}:{(37,1),(38,1),(85,1),(152,1)}
        61:{3,5,6}:{(38,1),(39,1),(85,1),(87,1),(88,1),(126,1)}
        62:{4,5,7}:{(38,1),(71,1),(87,1),(116,1)}
        63:{2,4,6}:{(39,1),(40,1),(87,1),(88,1)}
        64:{3,5,7}:{(40,1),(41,1),(42,1),(88,1),(89,1)}
        65:{1,5}:{(41,1),(43,1)}
        66:{1,4,7}:{(42,1),(43,1),(77,1),(89,1)}
        67:{1,2,6,7}:{(44,1),(45,1),(90,1),(103,1),(141,1),(142,1),(143,1)}
        68:{1,3,5,7}:{(44,1),(46,1),(60,1),(90,1),(91,1),(92,1),(108,1),(129,1)}
        69:{2,3,5,7}:{(45,1),(46,1),(53,1),(90,1),(93,1),(94,1),(105,1),(129,1)}
        70:{3,5,6}:{(46,1),(47,1),(95,1),(99,1),(136,1)}
        71:{4,7}:{(46,1),(95,1),(172,1)}
        72:{3,4}:{(49,1),(97,1),(98,1),(140,1),(172,1)}
        73:{1,2,4,6}:{(47,1),(48,1),(56,1),(63,1),(95,1),(99,1),(104,1),(106,1),(107,1),(109,1),(137,1),(138,1),(141,1),(142,1),(143,1)}
        74:{3,5,7}:{(48,1),(49,1),(50,1),(96,1),(99,1),(129,1),(136,1),(156,1)}
        75:{1,3,5}:{(49,1),(51,1),(65,1),(97,1),(102,1),(140,1)}
        76:{2,3,5}:{(49,1),(52,1),(58,1),(98,1),(102,1),(140,1)}
        77:{1,3,7}:{(50,1),(51,1),(66,1),(103,1)}
        78:{2,3,7}:{(50,1),(52,1),(59,1),(103,1)}
        79:{1,2,6}:{(51,1),(52,1),(102,1),(103,1)}
        80:{2,5,6}:{(53,1),(54,1),(104,1),(106,1)}
        81:{2,4,5,7}:{(53,1),(55,1),(94,1),(104,1),(105,1),(133,1)}
        82:{4,6}:{(54,1),(55,1)}
        83:{3,6}:{(56,1),(57,1),(106,1)}
        84:{2,5,7}:{(57,1),(58,1),(59,1),(106,1)}
        85:{1,5,6}:{(60,1),(61,1),(107,1),(109,1)}
        86:{1,4,5,7}:{(60,1),(62,1),(92,1),(107,1),(108,1),(130,1)}
        87:{4,6}:{(61,1),(62,1)}
        88:{3,6}:{(63,1),(64,1),(109,1)}
        89:{1,5,7}:{(64,1),(65,1),(66,1),(109,1)}
        90:{1,2,5,7}:{(67,1),(68,1),(69,1),(110,1),(111,1),(125,1),(127,1)}
        91:{1,3,5,6}:{(68,1),(70,1),(85,1),(110,1),(112,1),(121,1),(126,1),(145,1),(148,1),(152,1),(165,1),(168,1)}
        92:{1,4,7}:{(68,1),(71,1),(112,1),(113,1)}
        93:{2,3,5,6}:{(69,1),(70,1),(80,1),(110,1),(114,1),(122,1),(124,1),(145,1),(150,1),(153,1),(166,1),(168,1)}
        94:{2,4,7}:{(69,1),(71,1),(114,1),(115,1)}
        95:{4,6}:{(70,1),(71,1),(116,1)}
        96:{3,4,7}:{(71,1),(72,1),(74,1),(117,1),(118,1),(119,1),(155,1),(164,1)}
        97:{1,4}:{(72,1),(75,1)}
        98:{2,4}:{(72,1),(76,1)}
        99:{3,6}:{(73,1),(74,1)}
       100:{1,3,5,7}:{(74,1),(75,1),(77,1),(89,1),(118,1),(121,1),(123,1),(125,1),(146,1),(152,1),(155,1),(165,1),(168,1)}
       101:{2,3,5,7}:{(74,1),(76,1),(78,1),(84,1),(119,1),(122,1),(123,1),(127,1),(147,1),(153,1),(155,1),(166,1),(168,1)}
       102:{1,2,5}:{(75,1),(76,1),(79,1),(120,1)}
       103:{1,2,7}:{(77,1),(78,1),(79,1)}
       104:{2,4,6}:{(80,1),(81,1),(82,1),(124,1)}
       105:{3,5,7}:{(81,1),(115,1),(124,1),(125,1),(150,1)}
       106:{2,6}:{(83,1),(84,1)}
       107:{1,4,6}:{(85,1),(86,1),(87,1),(126,1)}
       108:{3,5,7}:{(86,1),(113,1),(126,1),(127,1),(148,1)}
       109:{1,6}:{(88,1),(89,1)}
       110:{1,2,5,6}:{(90,1),(91,1),(93,1),(128,1),(141,1),(142,1),(143,1),(160,1),(161,1),(162,1),(171,1)}
       111:{1,2,4,7}:{(90,1),(92,1),(94,1),(128,1),(129,1),(132,1),(135,1),(159,1)}
       112:{1,4,6}:{(91,1),(92,1),(95,1),(130,1),(131,1),(169,1),(172,1)}
       113:{3,4,7}:{(92,1),(108,1),(129,1),(131,1),(132,1)}
       114:{2,4,6}:{(93,1),(94,1),(95,1),(133,1),(134,1),(170,1),(172,1)}
       115:{3,4,7}:{(94,1),(105,1),(129,1),(134,1),(135,1)}
       116:{4,5}:{(95,1),(136,1),(172,1)}
       117:{3,4,6}:{(95,1),(96,1),(99,1),(136,1),(137,1),(138,1),(163,1),(172,1)}
       118:{1,4,7}:{(96,1),(97,1),(100,1),(137,1),(169,1),(172,1)}
       119:{2,4,7}:{(96,1),(98,1),(101,1),(138,1),(170,1),(172,1)}
       120:{1,2,4}:{(97,1),(98,1),(102,1),(140,1)}
       121:{1,3,6}:{(99,1),(100,1),(109,1),(137,1),(141,1),(142,1),(163,1)}
       122:{2,3,6}:{(99,1),(101,1),(106,1),(138,1),(141,1),(143,1),(163,1)}
       123:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(139,1),(141,1),(159,1),(162,1),(171,1)}
       124:{3,6}:{(104,1),(105,1),(142,1)}
       125:{1,5,7}:{(105,1),(135,1),(142,1),(161,1)}
       126:{3,6}:{(107,1),(108,1),(143,1)}
       127:{2,5,7}:{(108,1),(132,1),(143,1),(160,1)}
       128:{1,2,4,6}:{(110,1),(111,1),(112,1),(114,1),(144,1),(145,1),(149,1),(151,1),(167,1),(173,1)}
       129:{3,7}:{(111,1),(145,1)}
       130:{1,4,5}:{(112,1),(116,1),(148,1),(152,1)}
       131:{3,4,6}:{(112,1),(113,1),(126,1),(145,1),(148,1),(149,1),(164,1)}
       132:{2,4,7}:{(113,1),(127,1),(147,1),(149,1)}
       133:{2,4,5}:{(114,1),(116,1),(150,1),(153,1)}
       134:{3,4,6}:{(114,1),(115,1),(124,1),(145,1),(150,1),(151,1),(164,1)}
       135:{1,4,7}:{(115,1),(125,1),(146,1),(151,1)}
       136:{3,5}:{(116,1),(117,1),(152,1),(153,1)}
       137:{1,4,6}:{(117,1),(118,1),(121,1),(152,1)}
       138:{2,4,6}:{(117,1),(119,1),(122,1),(153,1)}
       139:{1,2,4,7}:{(118,1),(119,1),(120,1),(123,1),(154,1),(155,1),(173,1)}
       140:{3}:{(120,1)}
       141:{1,2,6}:{(121,1),(122,1),(123,1)}
       142:{1,6}:{(124,1),(125,1)}
       143:{2,6}:{(126,1),(127,1)}
       144:{1,2,4,5}:{(128,1),(130,1),(133,1),(156,1),(160,1),(161,1),(162,1),(169,1),(170,1),(171,1),(172,1)}
       145:{3,6}:{(128,1),(129,1),(156,1),(174,1)}
       146:{1,3,7}:{(129,1),(135,1),(157,1),(159,1)}
       147:{2,3,7}:{(129,1),(132,1),(158,1),(159,1)}
       148:{3,5}:{(130,1),(131,1),(160,1)}
       149:{2,4,6}:{(131,1),(132,1),(143,1),(158,1),(160,1),(170,1)}
       150:{3,5}:{(133,1),(134,1),(161,1)}
       151:{1,4,6}:{(134,1),(135,1),(142,1),(157,1),(161,1),(169,1)}
       152:{1,5}:{(136,1),(137,1)}
       153:{2,5}:{(136,1),(138,1)}
       154:{1,2,4,6}:{(137,1),(138,1),(139,1),(141,1),(162,1),(163,1),(172,1)}
       155:{3,7}:{(139,1),(140,1),(163,1),(174,1)}
       156:{3,5}:{(144,1),(145,1),(164,1)}
       157:{1,3,6}:{(145,1),(146,1),(151,1),(165,1),(167,1)}
       158:{2,3,6}:{(145,1),(147,1),(149,1),(166,1),(167,1)}
       159:{1,2,7}:{(146,1),(147,1),(167,1)}
       160:{2,5}:{(148,1),(149,1)}
       161:{1,5}:{(150,1),(151,1)}
       162:{1,2,5}:{(152,1),(153,1),(154,1),(168,1)}
       163:{3,6}:{(154,1),(155,1),(168,1)}
       164:{3,4}:{(156,1),(169,1),(170,1),(172,1),(174,1)}
       165:{1,3,5}:{(156,1),(157,1),(161,1),(169,1),(171,1),(174,1)}
       166:{2,3,5}:{(156,1),(158,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,2,6}:{(157,1),(158,1),(159,1),(171,1)}
       168:{3,5}:{(162,1),(163,1),(172,1)}
       169:{1,4}:{(164,1),(165,1)}
       170:{2,4}:{(164,1),(166,1)}
       171:{1,2,5}:{(165,1),(166,1),(167,1),(173,1)}
       172:{4}:{(168,1)}
       173:{1,2,4}:{(169,1),(170,1),(171,1),(174,1)}
       174:{3}:{(173,1)}

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

 649 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(14,1),(18,1),(34,1),(38,1),(72,1),(73,1),(74,1),(102,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(62,1),(63,1),(87,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(27,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(57,1),(88,1),(101,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(15,1),(43,1),(95,1)}
         5:{3,4,6}:{(3,1),(10,1),(12,1),(13,1),(14,1),(47,1),(76,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(44,1),(45,1),(48,1),(74,1)}
         7:{3,5,7}:{(2,1),(3,1),(12,1),(15,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(16,1),(18,1),(32,1),(47,1),(66,1),(71,1),(72,1),(93,1),(95,1),(103,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(33,1),(47,1),(68,1),(69,1),(73,1),(91,1),(95,1),(102,1)}
        10:{3,4,5}:{(5,1),(20,1),(21,1),(57,1),(101,1)}
        11:{4,6,7}:{(4,1),(24,1),(100,1)}
        12:{3,4,7}:{(5,1),(7,1),(26,1),(27,1),(65,1)}
        13:{1,4,6}:{(5,1),(8,1),(20,1),(26,1),(86,1),(100,1)}
        14:{2,4,6}:{(5,1),(9,1),(21,1),(27,1),(83,1),(100,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(26,1),(29,1),(31,1),(62,1),(65,1),(90,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(27,1),(30,1),(31,1),(63,1),(65,1),(90,1)}
        18:{1,2,5,6}:{(8,1),(9,1),(28,1),(31,1),(50,1),(52,1),(81,1),(84,1)}
        19:{3,4,5,7}:{(10,1),(12,1),(35,1),(36,1),(37,1),(43,1),(75,1),(97,1),(104,1)}
        20:{1,4,5}:{(10,1),(13,1),(32,1),(103,1),(104,1)}
        21:{2,4,5}:{(10,1),(14,1),(33,1),(102,1),(104,1)}
        22:{1,3,4,6}:{(13,1),(32,1),(39,1),(40,1),(47,1),(66,1),(76,1),(96,1)}
        23:{2,3,4,6}:{(14,1),(33,1),(41,1),(42,1),(47,1),(69,1),(76,1),(96,1)}
        24:{4,5,7}:{(11,1),(34,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(15,1),(35,1),(43,1),(44,1),(45,1),(80,1),(96,1),(97,1)}
        26:{1,4,7}:{(12,1),(13,1),(16,1),(97,1)}
        27:{2,4,7}:{(12,1),(14,1),(17,1),(97,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(18,1),(38,1),(46,1),(47,1)}
        29:{1,3,6,7}:{(15,1),(16,1),(44,1),(48,1),(66,1),(80,1),(93,1)}
        30:{2,3,6,7}:{(15,1),(17,1),(45,1),(48,1),(69,1),(80,1),(91,1)}
        31:{1,2,5,7}:{(16,1),(17,1),(18,1),(46,1),(48,1)}
        32:{1,3,5}:{(20,1),(22,1),(50,1),(57,1),(101,1)}
        33:{2,3,5}:{(21,1),(23,1),(52,1),(57,1),(101,1)}
        34:{4,5,6}:{(24,1),(53,1),(100,1)}
        35:{3,4,6}:{(19,1),(53,1),(54,1),(55,1),(88,1),(100,1)}
        36:{1,4,5,7}:{(19,1),(20,1),(26,1),(49,1),(54,1),(62,1)}
        37:{2,4,5,7}:{(19,1),(21,1),(27,1),(51,1),(55,1),(63,1)}
        38:{1,2,4,5}:{(20,1),(21,1),(28,1),(50,1),(52,1),(57,1),(83,1),(86,1)}
        39:{1,3,4,7}:{(22,1),(26,1),(49,1),(58,1),(65,1),(89,1)}
        40:{1,2,4,6}:{(22,1),(50,1),(58,1),(59,1),(81,1),(83,1),(98,1)}
        41:{2,3,4,7}:{(23,1),(27,1),(51,1),(60,1),(65,1),(89,1)}
        42:{1,2,4,6}:{(23,1),(52,1),(60,1),(61,1),(84,1),(86,1),(99,1)}
        43:{3,5,7}:{(24,1),(25,1),(53,1),(62,1),(63,1),(101,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(54,1),(62,1),(99,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(55,1),(63,1),(98,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(28,1),(31,1),(65,1)}
        47:{3,6}:{(28,1),(57,1),(65,1)}
        48:{1,2,6,7}:{(29,1),(30,1),(31,1),(81,1),(84,1)}
        49:{1,3,5,7}:{(32,1),(36,1),(39,1),(66,1),(67,1),(75,1)}
        50:{1,2,5}:{(32,1),(40,1),(68,1),(102,1)}
        51:{2,3,5,7}:{(33,1),(37,1),(41,1),(69,1),(70,1),(75,1)}
        52:{1,2,5}:{(33,1),(42,1),(71,1),(103,1)}
        53:{3,5,6}:{(34,1),(35,1),(43,1),(72,1),(73,1)}
        54:{1,4,6}:{(35,1),(36,1),(66,1),(72,1)}
        55:{2,4,6}:{(35,1),(37,1),(69,1),(73,1)}
        56:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(46,1),(67,1),(70,1),(74,1),(75,1),(79,1),(92,1),(94,1),(97,1),(102,1),(103,1),(104,1)}
        57:{3,5}:{(38,1),(47,1),(76,1)}
        58:{1,2,4,7}:{(39,1),(40,1),(67,1),(77,1),(92,1)}
        59:{2,3,6}:{(40,1),(47,1),(68,1),(77,1)}
        60:{1,2,4,7}:{(41,1),(42,1),(70,1),(78,1),(94,1)}
        61:{1,3,6}:{(42,1),(47,1),(71,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(72,1),(103,1)}
        63:{2,5,7}:{(43,1),(45,1),(73,1),(102,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(48,1),(74,1),(79,1),(80,1),(97,1)}
        65:{3,7}:{(46,1),(47,1)}
        66:{1,3,6}:{(49,1),(54,1),(81,1),(88,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(58,1),(81,1),(82,1)}
        68:{2,3,5}:{(50,1),(57,1),(59,1),(83,1)}
        69:{2,3,6}:{(51,1),(55,1),(84,1),(88,1)}
        70:{1,2,5,7}:{(51,1),(52,1),(60,1),(84,1),(85,1)}
        71:{1,3,5}:{(52,1),(57,1),(61,1),(86,1)}
        72:{1,5,6}:{(53,1),(54,1),(62,1)}
        73:{2,5,6}:{(53,1),(55,1),(63,1)}
        74:{1,2,4,6}:{(54,1),(55,1),(56,1),(81,1),(84,1),(87,1),(88,1),(98,1),(99,1),(100,1)}
        75:{3,5,7}:{(56,1),(57,1),(65,1),(88,1),(89,1),(101,1)}
        76:{3,4}:{(57,1),(83,1),(86,1)}
        77:{2,3,7}:{(58,1),(59,1),(65,1)}
        78:{1,3,7}:{(60,1),(61,1),(65,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(87,1),(90,1)}
        80:{3,6,7}:{(64,1),(65,1),(88,1),(90,1)}
        81:{1,2,6}:{(66,1),(67,1),(91,1)}
        82:{2,3,5,7}:{(67,1),(68,1),(75,1),(77,1),(91,1),(92,1),(102,1)}
        83:{2,4}:{(68,1),(76,1)}
        84:{1,2,6}:{(69,1),(70,1),(93,1)}
        85:{1,3,5,7}:{(70,1),(71,1),(75,1),(78,1),(93,1),(94,1),(103,1)}
        86:{1,4}:{(71,1),(76,1)}
        87:{1,2,5,6}:{(72,1),(73,1),(74,1),(79,1),(95,1),(102,1),(103,1)}
        88:{3,6}:{(74,1),(75,1)}
        89:{3,4,7}:{(75,1),(76,1),(92,1),(94,1),(96,1),(97,1)}
        90:{3,5,7}:{(79,1),(80,1),(95,1),(97,1)}
        91:{2,3,6}:{(81,1),(82,1),(88,1),(98,1)}
        92:{2,4,7}:{(82,1),(83,1),(89,1),(98,1)}
        93:{1,3,6}:{(84,1),(85,1),(88,1),(99,1)}
        94:{1,4,7}:{(85,1),(86,1),(89,1),(99,1)}
        95:{3,5,6}:{(87,1),(88,1),(90,1),(100,1),(101,1)}
        96:{3,4,6}:{(88,1),(89,1),(98,1),(99,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(100,1)}
        98:{2,4,6}:{(91,1),(92,1),(96,1),(102,1)}
        99:{1,4,6}:{(93,1),(94,1),(96,1),(103,1)}
       100:{4,6}:{(95,1),(97,1),(104,1)}
       101:{3,5}:{(96,1),(102,1),(103,1),(104,1)}
       102:{2,5}:{(98,1),(101,1)}
       103:{1,5}:{(99,1),(101,1)}
       104:{4,5}:{(100,1),(101,1)}

 650 :   0:{1,2,5,6,7}:{(1,1),(2,1),(30,1),(31,1),(59,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(17,1),(75,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(19,1),(24,1),(74,1)}
         3:{1,2,4,5,6}:{(5,1),(7,1),(16,1),(25,1),(26,1),(27,1),(42,1),(43,1),(50,1),(74,1),(97,1),(103,1),(104,1)}
         4:{4,6,7}:{(1,1),(8,1),(88,1)}
         5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(10,1),(30,1),(31,1),(35,1),(36,1),(37,1)}
         6:{3,6,7}:{(2,1),(10,1),(87,1)}
         7:{3,5,6}:{(3,1),(10,1),(13,1),(66,1),(87,1),(102,1)}
         8:{4,5,7}:{(4,1),(16,1),(17,1),(79,1),(97,1)}
         9:{3,4,6,7}:{(4,1),(6,1),(17,1),(18,1),(19,1),(21,1),(41,1),(47,1),(79,1),(96,1)}
        10:{3,5,7}:{(5,1),(6,1),(7,1),(21,1)}
        11:{1,3,6,7}:{(6,1),(18,1),(22,1),(24,1),(47,1),(72,1),(95,1)}
        12:{2,3,6,7}:{(6,1),(19,1),(23,1),(24,1),(47,1),(73,1),(94,1)}
        13:{3,4,6}:{(7,1),(20,1),(21,1),(25,1),(26,1),(56,1),(82,1)}
        14:{1,3,5,6}:{(7,1),(22,1),(25,1),(27,1),(42,1),(48,1),(56,1),(72,1),(75,1),(81,1),(95,1),(104,1)}
        15:{2,3,5,6}:{(7,1),(23,1),(26,1),(27,1),(43,1),(49,1),(56,1),(73,1),(75,1),(80,1),(94,1),(103,1)}
        16:{4,5,6}:{(8,1),(28,1),(88,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(30,1),(31,1),(102,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(30,1),(35,1),(57,1),(101,1)}
        19:{2,4,6,7}:{(9,1),(12,1),(31,1),(36,1),(58,1),(100,1)}
        20:{3,4,5}:{(13,1),(33,1),(34,1),(66,1),(102,1)}
        21:{3,4,7}:{(10,1),(13,1),(35,1),(36,1),(69,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(30,1),(35,1),(37,1),(63,1),(69,1)}
        23:{2,3,5,7}:{(10,1),(12,1),(15,1),(31,1),(36,1),(37,1),(63,1),(69,1)}
        24:{1,2,6,7}:{(11,1),(12,1),(37,1),(85,1),(86,1)}
        25:{1,4,6}:{(13,1),(14,1),(33,1),(35,1),(88,1),(93,1)}
        26:{2,4,6}:{(13,1),(15,1),(34,1),(36,1),(88,1),(92,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(37,1),(40,1),(64,1),(65,1),(85,1),(86,1)}
        28:{3,5,6}:{(16,1),(17,1),(41,1),(42,1),(43,1)}
        29:{3,4,5,7}:{(17,1),(20,1),(21,1),(41,1),(44,1),(45,1),(78,1),(79,1),(97,1)}
        30:{1,5,7}:{(17,1),(18,1),(42,1),(104,1)}
        31:{2,5,7}:{(17,1),(19,1),(43,1),(103,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(24,1),(46,1),(47,1),(53,1),(74,1),(79,1)}
        33:{1,4,5}:{(20,1),(25,1),(48,1),(97,1),(104,1)}
        34:{2,4,5}:{(20,1),(26,1),(49,1),(97,1),(103,1)}
        35:{1,4,7}:{(21,1),(22,1),(25,1),(79,1)}
        36:{2,4,7}:{(21,1),(23,1),(26,1),(79,1)}
        37:{1,2,5,7}:{(22,1),(23,1),(24,1),(27,1),(53,1)}
        38:{1,3,4,6}:{(25,1),(48,1),(51,1),(54,1),(56,1),(72,1),(82,1),(96,1)}
        39:{2,3,4,6}:{(26,1),(49,1),(52,1),(55,1),(56,1),(73,1),(82,1),(96,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(50,1),(53,1),(56,1)}
        41:{3,4,6}:{(28,1),(29,1),(57,1),(58,1),(87,1),(88,1)}
        42:{1,5,6}:{(28,1),(30,1),(57,1)}
        43:{2,5,6}:{(28,1),(31,1),(58,1)}
        44:{1,4,5,7}:{(29,1),(30,1),(33,1),(35,1),(57,1),(60,1)}
        45:{2,4,5,7}:{(29,1),(31,1),(34,1),(36,1),(58,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(32,1),(59,1),(63,1)}
        47:{3,6,7}:{(32,1),(63,1),(69,1),(87,1)}
        48:{1,3,5}:{(33,1),(38,1),(64,1),(66,1),(102,1)}
        49:{2,3,5}:{(34,1),(39,1),(65,1),(66,1),(102,1)}
        50:{1,2,4,5}:{(33,1),(34,1),(40,1),(64,1),(65,1),(66,1),(92,1),(93,1)}
        51:{1,3,4,7}:{(35,1),(38,1),(60,1),(67,1),(69,1),(91,1)}
        52:{2,3,4,7}:{(36,1),(39,1),(61,1),(68,1),(69,1),(91,1)}
        53:{1,2,4,7}:{(35,1),(36,1),(37,1),(40,1),(69,1)}
        54:{1,2,4,6}:{(38,1),(64,1),(67,1),(70,1),(85,1),(92,1),(100,1)}
        55:{1,2,4,6}:{(39,1),(65,1),(68,1),(71,1),(86,1),(93,1),(101,1)}
        56:{3,6}:{(40,1),(66,1),(69,1)}
        57:{1,4,6}:{(41,1),(42,1),(44,1),(72,1)}
        58:{2,4,6}:{(41,1),(43,1),(45,1),(73,1)}
        59:{1,2,5,6}:{(42,1),(43,1),(46,1),(74,1),(75,1),(103,1),(104,1)}
        60:{1,3,5,7}:{(44,1),(48,1),(51,1),(72,1),(76,1),(78,1)}
        61:{2,3,5,7}:{(45,1),(49,1),(52,1),(73,1),(77,1),(78,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(53,1),(74,1),(76,1),(77,1),(78,1),(79,1),(97,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5,7}:{(46,1),(47,1),(75,1),(79,1)}
        64:{1,2,5}:{(48,1),(54,1),(80,1),(103,1)}
        65:{1,2,5}:{(49,1),(55,1),(81,1),(104,1)}
        66:{3,5}:{(50,1),(56,1),(82,1)}
        67:{1,2,4,7}:{(51,1),(54,1),(76,1),(83,1),(98,1)}
        68:{1,2,4,7}:{(52,1),(55,1),(77,1),(84,1),(99,1)}
        69:{3,7}:{(53,1),(56,1)}
        70:{2,3,6}:{(54,1),(56,1),(80,1),(83,1)}
        71:{1,3,6}:{(55,1),(56,1),(81,1),(84,1)}
        72:{1,3,6}:{(57,1),(60,1),(85,1),(87,1)}
        73:{2,3,6}:{(58,1),(61,1),(86,1),(87,1)}
        74:{1,2,4,6}:{(57,1),(58,1),(59,1),(62,1),(85,1),(86,1),(87,1),(88,1),(100,1),(101,1)}
        75:{3,5,6}:{(59,1),(63,1),(87,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(60,1),(64,1),(67,1),(85,1),(89,1)}
        77:{1,2,5,7}:{(61,1),(65,1),(68,1),(86,1),(90,1)}
        78:{3,5,7}:{(62,1),(66,1),(69,1),(87,1),(91,1),(102,1)}
        79:{4,7}:{(63,1),(88,1)}
        80:{2,3,5}:{(64,1),(66,1),(70,1),(92,1)}
        81:{1,3,5}:{(65,1),(66,1),(71,1),(93,1)}
        82:{3,4}:{(66,1),(92,1),(93,1)}
        83:{2,3,7}:{(67,1),(69,1),(70,1)}
        84:{1,3,7}:{(68,1),(69,1),(71,1)}
        85:{1,2,6}:{(72,1),(76,1),(94,1)}
        86:{1,2,6}:{(73,1),(77,1),(95,1)}
        87:{3,6}:{(74,1),(78,1)}
        88:{4,6}:{(75,1),(79,1),(97,1)}
        89:{2,3,5,7}:{(76,1),(78,1),(80,1),(83,1),(94,1),(98,1),(103,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(81,1),(84,1),(95,1),(99,1),(104,1)}
        91:{3,4,7}:{(78,1),(79,1),(82,1),(96,1),(98,1),(99,1)}
        92:{2,4}:{(80,1),(82,1)}
        93:{1,4}:{(81,1),(82,1)}
        94:{2,3,6}:{(85,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(86,1),(87,1),(90,1),(101,1)}
        96:{3,4,6}:{(87,1),(88,1),(91,1),(100,1),(101,1),(102,1)}
        97:{4,5}:{(88,1),(102,1)}
        98:{2,4,7}:{(89,1),(91,1),(92,1),(100,1)}
        99:{1,4,7}:{(90,1),(91,1),(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(96,1),(98,1),(103,1)}
       101:{1,4,6}:{(95,1),(96,1),(99,1),(104,1)}
       102:{3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{1,5}:{(101,1),(102,1)}

 651 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(52,1),(109,1)}
         1:{2,3,4,6}:{(2,1),(5,1),(6,1),(20,1),(23,1),(27,1),(52,1),(62,1)}
         2:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(35,1)}
         3:{1,2,3,5}:{(0,1),(8,1),(10,1),(33,1),(83,1),(88,1)}
         4:{1,2,3,7}:{(0,1),(9,1),(81,1),(138,1),(230,1)}
         5:{2,3,5}:{(1,1),(8,1),(13,1),(33,1),(92,1)}
         6:{2,3,4,7}:{(1,1),(9,1),(14,1),(38,1),(42,1),(81,1),(219,1)}
         7:{1,3,4,6}:{(2,1),(15,1),(16,1),(20,1),(47,1),(51,1),(52,1),(62,1)}
         8:{1,2,5}:{(2,1),(5,1),(15,1)}
         9:{1,2,4,7}:{(2,1),(4,1),(6,1),(16,1),(19,1),(227,1)}
        10:{1,2,4}:{(3,1),(20,1)}
        11:{1,2,3,5,7}:{(3,1),(4,1),(19,1),(21,1),(22,1),(57,1),(63,1),(114,1),(118,1),(169,1)}
        12:{2,3,5,6}:{(5,1),(17,1),(23,1),(24,1),(27,1),(52,1),(64,1),(71,1),(117,1)}
        13:{2,4,5}:{(5,1),(23,1),(25,1),(122,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(19,1),(26,1),(27,1),(57,1),(207,1),(225,1)}
        15:{1,3,5}:{(7,1),(8,1),(29,1),(33,1),(92,1)}
        16:{1,3,4,7}:{(7,1),(9,1),(30,1),(38,1),(74,1),(81,1),(218,1)}
        17:{1,2,5,6}:{(8,1),(12,1),(28,1),(31,1),(32,1),(35,1),(93,1),(130,1)}
        18:{1,2,4,5}:{(8,1),(10,1),(13,1),(29,1),(31,1),(33,1),(44,1),(76,1),(83,1)}
        19:{1,2,5,7}:{(8,1),(9,1),(14,1),(30,1),(35,1),(220,1),(229,1)}
        20:{3,4}:{(10,1),(33,1)}
        21:{1,2,4,7}:{(10,1),(11,1),(38,1),(39,1),(188,1)}
        22:{1,2,3,6}:{(11,1),(35,1),(39,1),(86,1),(142,1)}
        23:{2,4,6}:{(12,1),(13,1),(41,1),(42,1),(145,1)}
        24:{2,3,5,7}:{(12,1),(32,1),(42,1),(43,1),(81,1),(94,1),(98,1),(141,1)}
        25:{3,4,5}:{(13,1),(33,1),(41,1),(44,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(42,1),(45,1),(46,1),(98,1),(190,1),(214,1)}
        27:{2,3,6}:{(14,1),(35,1),(46,1),(86,1)}
        28:{1,3,5,6}:{(15,1),(17,1),(47,1),(48,1),(51,1),(52,1),(101,1),(108,1),(117,1)}
        29:{1,4,5}:{(15,1),(47,1),(49,1),(122,1)}
        30:{1,3,5,7}:{(15,1),(16,1),(19,1),(50,1),(51,1),(57,1),(206,1),(224,1)}
        31:{1,2,4,6}:{(17,1),(18,1),(23,1),(47,1),(52,1),(53,1),(66,1),(103,1),(109,1)}
        32:{1,2,5,7}:{(17,1),(24,1),(48,1),(53,1),(54,1),(123,1),(155,1)}
        33:{3,5}:{(18,1),(20,1),(52,1)}
        34:{1,2,4,5,7}:{(18,1),(19,1),(21,1),(26,1),(50,1),(53,1),(57,1),(58,1),(63,1),(69,1),(106,1),(113,1),(114,1),(122,1),(165,1),(170,1),(199,1)}
        35:{1,2,6}:{(19,1),(27,1),(51,1)}
        36:{1,3,4}:{(20,1),(55,1),(59,1)}
        37:{2,3,4}:{(20,1),(56,1),(59,1)}
        38:{3,4,7}:{(20,1),(21,1),(57,1),(62,1),(165,1),(205,1)}
        39:{1,2,4,6}:{(21,1),(22,1),(62,1),(63,1)}
        40:{2,4,5,6}:{(23,1),(64,1),(65,1),(71,1),(129,1)}
        41:{3,4,6}:{(23,1),(25,1),(52,1),(64,1),(66,1),(67,1)}
        42:{2,4,7}:{(23,1),(24,1),(67,1),(165,1)}
        43:{2,3,6,7}:{(24,1),(27,1),(54,1),(68,1),(112,1),(124,1),(225,1)}
        44:{1,4,5}:{(25,1),(55,1),(66,1)}
        45:{3,4,5,7}:{(25,1),(26,1),(57,1),(67,1),(69,1),(70,1),(122,1),(127,1),(165,1),(171,1),(200,1)}
        46:{2,4,6}:{(26,1),(27,1),(70,1),(71,1)}
        47:{1,4,6}:{(28,1),(29,1),(73,1),(74,1),(145,1)}
        48:{1,3,5,7}:{(28,1),(32,1),(74,1),(75,1),(81,1),(131,1),(135,1),(141,1)}
        49:{3,4,5}:{(29,1),(33,1),(73,1),(76,1)}
        50:{1,4,5,7}:{(29,1),(30,1),(74,1),(77,1),(78,1),(135,1),(191,1),(215,1)}
        51:{1,3,6}:{(30,1),(35,1),(78,1),(86,1)}
        52:{3,6}:{(31,1),(33,1),(81,1)}
        53:{1,2,4,7}:{(31,1),(32,1),(42,1),(74,1),(81,1),(96,1),(133,1),(138,1)}
        54:{1,2,6,7}:{(32,1),(35,1),(43,1),(75,1),(150,1),(177,1),(229,1)}
        55:{1,3,5}:{(33,1),(36,1),(44,1),(79,1),(83,1)}
        56:{2,3,5}:{(33,1),(37,1),(76,1),(80,1),(83,1)}
        57:{3,5,7}:{(33,1),(34,1),(38,1),(81,1),(86,1),(92,1),(189,1),(213,1)}
        58:{1,2,4,6}:{(34,1),(35,1),(46,1),(78,1),(86,1),(87,1),(99,1),(136,1),(142,1),(145,1)}
        59:{1,2,4}:{(36,1),(37,1),(83,1),(88,1)}
        60:{1,3,4,7}:{(36,1),(38,1),(84,1),(89,1),(90,1),(183,1),(213,1)}
        61:{2,3,4,7}:{(37,1),(38,1),(85,1),(89,1),(91,1),(184,1),(213,1)}
        62:{3,4,6}:{(38,1),(39,1),(86,1),(92,1),(145,1)}
        63:{1,2,5}:{(39,1),(92,1)}
        64:{3,5,6}:{(40,1),(41,1),(93,1),(94,1)}
        65:{2,4,5,7}:{(40,1),(42,1),(94,1),(95,1),(98,1),(153,1)}
        66:{1,4,6}:{(41,1),(44,1),(79,1),(93,1),(96,1)}
        67:{3,4,7}:{(41,1),(42,1),(81,1),(94,1),(96,1)}
        68:{2,4,6,7}:{(42,1),(43,1),(46,1),(97,1),(98,1),(214,1),(221,1)}
        69:{1,4,5,7}:{(44,1),(45,1),(84,1),(96,1),(99,1),(148,1),(152,1),(183,1)}
        70:{3,4,6}:{(45,1),(46,1),(86,1),(99,1),(100,1),(145,1)}
        71:{2,5,6}:{(46,1),(98,1),(100,1)}
        72:{1,4,5,6}:{(47,1),(101,1),(102,1),(108,1),(161,1)}
        73:{3,4,6}:{(47,1),(49,1),(52,1),(101,1),(103,1),(104,1)}
        74:{1,4,7}:{(47,1),(48,1),(104,1),(165,1)}
        75:{1,3,6,7}:{(48,1),(51,1),(54,1),(105,1),(112,1),(156,1),(224,1)}
        76:{2,4,5}:{(49,1),(56,1),(103,1)}
        77:{3,4,5,7}:{(49,1),(50,1),(57,1),(104,1),(106,1),(107,1),(122,1),(159,1),(165,1),(172,1),(201,1)}
        78:{1,4,6}:{(50,1),(51,1),(107,1),(108,1)}
        79:{1,3,6}:{(52,1),(55,1),(66,1),(109,1),(110,1)}
        80:{2,3,6}:{(52,1),(56,1),(103,1),(109,1),(111,1)}
        81:{3,7}:{(52,1),(53,1)}
        82:{1,2,4,6,7}:{(53,1),(54,1),(58,1),(68,1),(105,1),(112,1),(113,1),(126,1),(158,1),(162,1),(165,1),(199,1)}
        83:{1,2,5}:{(55,1),(56,1),(59,1),(109,1)}
        84:{1,3,5,7}:{(55,1),(57,1),(60,1),(69,1),(110,1),(114,1),(115,1),(120,1)}
        85:{2,3,5,7}:{(56,1),(57,1),(61,1),(106,1),(111,1),(114,1),(116,1),(121,1)}
        86:{3,6}:{(57,1),(58,1)}
        87:{1,2,5,6}:{(58,1),(63,1),(71,1),(108,1),(113,1),(117,1),(128,1),(160,1)}
        88:{1,2,3}:{(59,1)}
        89:{1,2,4,7}:{(59,1),(60,1),(61,1),(114,1),(118,1),(119,1)}
        90:{1,3,4,6}:{(60,1),(62,1),(115,1),(119,1),(120,1),(167,1),(202,1),(205,1)}
        91:{2,3,4,6}:{(61,1),(62,1),(116,1),(119,1),(121,1),(168,1),(202,1),(205,1)}
        92:{3,5}:{(62,1),(63,1),(122,1)}
        93:{1,5,6}:{(64,1),(66,1),(123,1)}
        94:{3,5,7}:{(64,1),(65,1),(67,1),(123,1),(124,1)}
        95:{2,4,6,7}:{(65,1),(124,1),(125,1),(174,1)}
        96:{1,4,7}:{(66,1),(67,1),(110,1),(123,1)}
        97:{3,4,6,7}:{(67,1),(68,1),(70,1),(112,1),(124,1),(126,1),(127,1),(165,1),(174,1),(200,1),(208,1)}
        98:{2,5,7}:{(68,1),(71,1),(127,1)}
        99:{1,4,6}:{(69,1),(70,1),(115,1),(128,1)}
       100:{3,5,6}:{(70,1),(71,1),(127,1),(128,1),(129,1)}
       101:{3,5,6}:{(72,1),(73,1),(130,1),(131,1)}
       102:{1,4,5,7}:{(72,1),(74,1),(131,1),(132,1),(135,1),(180,1)}
       103:{2,4,6}:{(73,1),(76,1),(80,1),(130,1),(133,1)}
       104:{3,4,7}:{(73,1),(74,1),(81,1),(131,1),(133,1)}
       105:{1,4,6,7}:{(74,1),(75,1),(78,1),(134,1),(135,1),(215,1),(228,1)}
       106:{2,4,5,7}:{(76,1),(77,1),(85,1),(133,1),(136,1),(149,1),(179,1),(184,1)}
       107:{3,4,6}:{(77,1),(78,1),(86,1),(136,1),(137,1),(145,1)}
       108:{1,5,6}:{(78,1),(135,1),(137,1)}
       109:{1,2,6}:{(79,1),(80,1),(83,1),(138,1)}
       110:{1,3,7}:{(79,1),(81,1),(96,1),(138,1)}
       111:{2,3,7}:{(80,1),(81,1),(133,1),(138,1)}
       112:{3,6,7}:{(81,1),(82,1),(86,1),(141,1),(213,1)}
       113:{1,2,5,7}:{(82,1),(87,1),(98,1),(135,1),(141,1),(152,1),(179,1)}
       114:{1,2,5,7}:{(83,1),(84,1),(85,1),(89,1),(138,1),(142,1),(147,1)}
       115:{1,3,6}:{(84,1),(86,1),(99,1),(142,1)}
       116:{2,3,6}:{(85,1),(86,1),(136,1),(142,1)}
       117:{3,5,6}:{(86,1),(87,1),(92,1),(141,1),(145,1)}
       118:{1,2,3,7}:{(88,1),(89,1),(146,1),(213,1),(229,1)}
       119:{1,2,4,6}:{(89,1),(90,1),(91,1),(142,1),(146,1),(147,1),(188,1)}
       120:{1,3,5}:{(90,1),(92,1),(147,1),(148,1),(189,1)}
       121:{2,3,5}:{(91,1),(92,1),(147,1),(149,1),(189,1)}
       122:{4,5}:{(92,1),(145,1)}
       123:{1,5,7}:{(93,1),(94,1),(96,1),(150,1)}
       124:{3,6,7}:{(94,1),(95,1),(150,1)}
       125:{2,5,6,7}:{(95,1),(98,1),(151,1),(221,1)}
       126:{1,4,6,7}:{(96,1),(97,1),(99,1),(139,1),(150,1),(152,1),(183,1)}
       127:{3,5,7}:{(97,1),(98,1),(100,1),(152,1),(153,1)}
       128:{1,5,6}:{(99,1),(100,1),(152,1)}
       129:{4,5,6}:{(100,1),(145,1),(153,1)}
       130:{2,5,6}:{(101,1),(103,1),(155,1)}
       131:{3,5,7}:{(101,1),(102,1),(104,1),(155,1),(156,1)}
       132:{1,4,6,7}:{(102,1),(156,1),(157,1),(196,1)}
       133:{2,4,7}:{(103,1),(104,1),(111,1),(155,1)}
       134:{3,4,6,7}:{(104,1),(105,1),(107,1),(112,1),(156,1),(158,1),(159,1),(165,1),(196,1),(201,1),(222,1)}
       135:{1,5,7}:{(105,1),(108,1),(159,1)}
       136:{2,4,6}:{(106,1),(107,1),(116,1),(160,1)}
       137:{3,5,6}:{(107,1),(108,1),(159,1),(160,1),(161,1)}
       138:{1,2,7}:{(109,1),(110,1),(111,1)}
       139:{1,3,6,7}:{(110,1),(112,1),(115,1),(126,1),(162,1),(163,1),(208,1)}
       140:{2,3,6,7}:{(111,1),(112,1),(116,1),(158,1),(162,1),(164,1),(222,1)}
       141:{3,5,7}:{(112,1),(113,1),(117,1),(165,1)}
       142:{1,2,6}:{(114,1),(115,1),(116,1)}
       143:{1,3,5,6}:{(115,1),(117,1),(120,1),(128,1),(163,1),(166,1),(167,1),(176,1),(202,1)}
       144:{2,3,5,6}:{(116,1),(117,1),(121,1),(160,1),(164,1),(166,1),(168,1),(198,1),(202,1)}
       145:{4,6}:{(117,1),(122,1),(165,1)}
       146:{1,2,3,6}:{(118,1),(119,1),(169,1),(202,1),(226,1)}
       147:{1,2,5}:{(119,1),(120,1),(121,1)}
       148:{1,4,5}:{(120,1),(122,1),(167,1),(171,1)}
       149:{2,4,5}:{(121,1),(122,1),(168,1),(172,1)}
       150:{1,6,7}:{(123,1),(124,1)}
       151:{3,5,6,7}:{(124,1),(125,1),(127,1),(173,1),(174,1),(208,1)}
       152:{1,5,7}:{(126,1),(127,1),(128,1)}
       153:{4,5,7}:{(127,1),(129,1),(165,1),(174,1)}
       154:{1,4,5,6}:{(128,1),(129,1),(167,1),(175,1),(176,1)}
       155:{2,5,7}:{(130,1),(131,1),(133,1),(177,1)}
       156:{3,6,7}:{(131,1),(132,1),(177,1)}
       157:{1,5,6,7}:{(132,1),(135,1),(178,1),(228,1)}
       158:{2,4,6,7}:{(133,1),(134,1),(136,1),(140,1),(177,1),(179,1),(184,1)}
       159:{3,5,7}:{(134,1),(135,1),(137,1),(179,1),(180,1)}
       160:{2,5,6}:{(136,1),(137,1),(179,1)}
       161:{4,5,6}:{(137,1),(145,1),(180,1)}
       162:{1,2,6,7}:{(138,1),(139,1),(140,1),(142,1),(182,1),(221,1),(228,1)}
       163:{1,3,5,7}:{(139,1),(141,1),(143,1),(152,1),(182,1),(183,1),(193,1),(213,1)}
       164:{2,3,5,7}:{(140,1),(141,1),(144,1),(179,1),(182,1),(184,1),(211,1),(213,1)}
       165:{4,7}:{(141,1),(145,1)}
       166:{1,2,5,6}:{(142,1),(143,1),(144,1),(147,1),(182,1),(185,1),(194,1),(212,1)}
       167:{1,4,6}:{(143,1),(145,1),(148,1),(183,1),(186,1)}
       168:{2,4,6}:{(144,1),(145,1),(149,1),(184,1),(187,1)}
       169:{1,2,3,5}:{(146,1),(147,1),(188,1),(189,1),(220,1),(230,1)}
       170:{1,2,4,5}:{(147,1),(148,1),(149,1),(185,1),(188,1),(189,1),(190,1),(191,1),(220,1)}
       171:{3,4,5}:{(148,1),(186,1),(189,1),(190,1)}
       172:{3,4,5}:{(149,1),(187,1),(189,1),(191,1)}
       173:{1,5,6,7}:{(150,1),(151,1),(152,1),(192,1)}
       174:{4,6,7}:{(151,1),(153,1)}
       175:{1,4,5,7}:{(152,1),(153,1),(154,1),(183,1),(192,1),(193,1)}
       176:{3,5,6}:{(154,1),(186,1),(193,1),(194,1)}
       177:{2,6,7}:{(155,1),(156,1)}
       178:{3,5,6,7}:{(156,1),(157,1),(159,1),(195,1),(196,1),(222,1)}
       179:{2,5,7}:{(158,1),(159,1),(160,1)}
       180:{4,5,7}:{(159,1),(161,1),(165,1),(196,1)}
       181:{2,4,5,6}:{(160,1),(161,1),(168,1),(197,1),(198,1)}
       182:{1,2,5,7}:{(162,1),(163,1),(164,1),(166,1),(199,1),(209,1),(223,1)}
       183:{1,4,7}:{(163,1),(165,1),(167,1),(200,1)}
       184:{2,4,7}:{(164,1),(165,1),(168,1),(201,1)}
       185:{1,2,4,6}:{(166,1),(167,1),(168,1),(170,1),(199,1),(202,1),(203,1),(204,1),(226,1)}
       186:{3,4,6}:{(167,1),(171,1),(176,1),(200,1),(202,1),(203,1)}
       187:{3,4,6}:{(168,1),(172,1),(198,1),(201,1),(202,1),(204,1)}
       188:{1,2,4}:{(169,1),(205,1)}
       189:{3,5}:{(170,1),(202,1),(205,1)}
       190:{2,4,5}:{(171,1),(203,1),(207,1)}
       191:{1,4,5}:{(172,1),(204,1),(206,1)}
       192:{1,4,6,7}:{(173,1),(174,1),(175,1),(208,1)}
       193:{3,5,7}:{(175,1),(176,1),(200,1),(208,1),(209,1)}
       194:{2,5,6}:{(176,1),(203,1),(209,1)}
       195:{2,5,6,7}:{(177,1),(178,1),(179,1),(210,1)}
       196:{4,6,7}:{(178,1),(180,1)}
       197:{2,4,5,7}:{(179,1),(180,1),(181,1),(184,1),(210,1),(211,1)}
       198:{3,5,6}:{(181,1),(187,1),(211,1),(212,1)}
       199:{1,2,4,7}:{(182,1),(183,1),(184,1),(185,1),(213,1),(214,1),(215,1),(229,1)}
       200:{3,4,7}:{(183,1),(186,1),(193,1),(213,1),(214,1)}
       201:{3,4,7}:{(184,1),(187,1),(211,1),(213,1),(215,1)}
       202:{3,6}:{(185,1),(189,1),(213,1)}
       203:{2,4,6}:{(186,1),(190,1),(194,1),(214,1),(217,1)}
       204:{1,4,6}:{(187,1),(191,1),(212,1),(215,1),(216,1)}
       205:{3,4}:{(188,1),(189,1)}
       206:{1,3,5}:{(189,1),(191,1),(216,1),(218,1),(220,1)}
       207:{2,3,5}:{(189,1),(190,1),(217,1),(219,1),(220,1)}
       208:{3,6,7}:{(192,1),(193,1),(221,1)}
       209:{2,5,7}:{(193,1),(194,1),(214,1),(221,1)}
       210:{2,4,6,7}:{(195,1),(196,1),(197,1),(222,1)}
       211:{3,5,7}:{(197,1),(198,1),(201,1),(222,1),(223,1)}
       212:{1,5,6}:{(198,1),(204,1),(223,1)}
       213:{3,7}:{(199,1),(202,1)}
       214:{2,4,7}:{(200,1),(203,1),(209,1),(225,1)}
       215:{1,4,7}:{(201,1),(204,1),(223,1),(224,1)}
       216:{1,3,6}:{(202,1),(204,1),(206,1),(224,1),(226,1)}
       217:{2,3,6}:{(202,1),(203,1),(207,1),(225,1),(226,1)}
       218:{1,3,4}:{(205,1),(206,1),(227,1)}
       219:{2,3,4}:{(205,1),(207,1),(227,1)}
       220:{1,2,5}:{(206,1),(207,1),(226,1),(227,1)}
       221:{2,6,7}:{(208,1),(209,1)}
       222:{3,6,7}:{(210,1),(211,1),(228,1)}
       223:{1,5,7}:{(211,1),(212,1),(215,1),(228,1)}
       224:{1,3,7}:{(213,1),(215,1),(216,1),(229,1)}
       225:{2,3,7}:{(213,1),(214,1),(217,1),(229,1)}
       226:{1,2,6}:{(216,1),(217,1),(220,1),(229,1)}
       227:{1,2,4}:{(218,1),(219,1),(220,1),(230,1)}
       228:{1,6,7}:{(222,1),(223,1)}
       229:{1,2,7}:{(224,1),(225,1),(226,1)}
       230:{1,2,3}:{(227,1)}

 652 :   0:{1,2,3,7}:{(3,1),(4,1),(129,1),(190,1),(220,1)}
         1:{2,3,4,7}:{(3,1),(5,1),(6,1),(18,1),(75,1),(129,1),(183,1)}
         2:{1,2,3,5,7}:{(0,1),(8,1),(9,1),(10,1),(12,1),(32,1),(35,1),(38,1),(85,1),(87,1)}
         3:{1,2,4,7}:{(0,1),(1,1),(7,1),(10,1),(11,1),(205,1)}
         4:{1,2,3,6}:{(0,1),(11,1),(12,1),(97,1),(164,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(15,1),(35,1),(204,1),(227,1)}
         6:{2,3,4,6}:{(1,1),(11,1),(14,1),(15,1),(36,1),(42,1),(48,1),(97,1)}
         7:{1,3,4,7}:{(3,1),(16,1),(17,1),(18,1),(115,1),(129,1),(182,1)}
         8:{1,2,4,7}:{(2,1),(18,1),(20,1),(23,1),(120,1)}
         9:{1,2,3,6}:{(2,1),(20,1),(21,1),(61,1),(118,1)}
        10:{1,2,5,7}:{(3,1),(5,1),(16,1),(21,1),(22,1),(219,1),(230,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(6,1),(17,1),(21,1),(22,1),(23,1)}
        12:{1,2,3,5}:{(4,1),(22,1),(23,1),(67,1),(132,1),(133,1)}
        13:{2,4,5,7}:{(5,1),(24,1),(25,1),(28,1),(73,1),(75,1),(189,1),(222,1)}
        14:{2,3,6}:{(5,1),(21,1),(25,1),(61,1)}
        15:{2,3,5}:{(6,1),(22,1),(28,1),(62,1),(67,1)}
        16:{1,3,5,7}:{(7,1),(10,1),(29,1),(30,1),(31,1),(35,1),(203,1),(226,1)}
        17:{1,3,4,6}:{(7,1),(11,1),(30,1),(31,1),(36,1),(42,1),(83,1),(97,1)}
        18:{3,4,7}:{(8,1),(35,1),(36,1),(42,1),(154,1),(161,1)}
        19:{1,2,4,5,7}:{(8,1),(10,1),(13,1),(29,1),(35,1),(37,1),(38,1),(41,1),(43,1),(78,1),(85,1),(94,1),(95,1),(96,1),(153,1),(161,1),(201,1)}
        20:{1,2,4,6}:{(8,1),(9,1),(36,1),(38,1)}
        21:{1,2,6}:{(10,1),(14,1),(30,1)}
        22:{1,2,5}:{(11,1),(15,1),(31,1)}
        23:{1,2,4}:{(12,1),(42,1)}
        24:{3,4,5,7}:{(13,1),(35,1),(43,1),(44,1),(49,1),(94,1),(103,1),(108,1),(160,1),(161,1),(208,1)}
        25:{2,4,6}:{(13,1),(14,1),(44,1),(46,1)}
        26:{2,3,6,7}:{(14,1),(39,1),(45,1),(47,1),(92,1),(169,1),(227,1)}
        27:{2,3,5,6}:{(14,1),(15,1),(40,1),(46,1),(47,1),(48,1),(93,1),(97,1),(107,1)}
        28:{2,4,5}:{(15,1),(48,1),(49,1),(94,1)}
        29:{1,4,5,7}:{(16,1),(50,1),(51,1),(54,1),(113,1),(115,1),(186,1),(221,1)}
        30:{1,3,6}:{(16,1),(21,1),(51,1),(61,1)}
        31:{1,3,5}:{(17,1),(22,1),(54,1),(62,1),(67,1)}
        32:{1,2,3,7}:{(55,1),(56,1),(133,1),(216,1),(230,1)}
        33:{2,3,4,7}:{(18,1),(55,1),(57,1),(58,1),(69,1),(184,1),(216,1)}
        34:{1,3,4,7}:{(18,1),(55,1),(59,1),(60,1),(68,1),(187,1),(216,1)}
        35:{3,5,7}:{(18,1),(19,1),(61,1),(62,1),(67,1),(129,1),(181,1),(216,1)}
        36:{3,4,6}:{(18,1),(20,1),(61,1),(62,1),(128,1)}
        37:{1,2,4,6}:{(19,1),(21,1),(25,1),(51,1),(61,1),(64,1),(70,1),(110,1),(118,1),(128,1)}
        38:{1,2,5}:{(20,1),(62,1)}
        39:{1,2,6,7}:{(21,1),(26,1),(52,1),(65,1),(194,1),(215,1),(230,1)}
        40:{1,2,5,6}:{(21,1),(22,1),(27,1),(53,1),(65,1),(66,1),(140,1),(177,1)}
        41:{1,2,4,5}:{(22,1),(23,1),(28,1),(54,1),(66,1),(67,1),(77,1),(117,1),(132,1)}
        42:{3,4}:{(23,1),(67,1)}
        43:{1,4,5,7}:{(24,1),(59,1),(70,1),(77,1),(126,1),(134,1),(141,1),(187,1)}
        44:{3,4,6}:{(24,1),(25,1),(61,1),(70,1),(72,1),(128,1)}
        45:{2,4,6,7}:{(25,1),(26,1),(71,1),(73,1),(75,1),(222,1),(223,1)}
        46:{2,5,6}:{(25,1),(72,1),(73,1)}
        47:{2,3,5,7}:{(26,1),(27,1),(65,1),(73,1),(75,1),(127,1),(129,1),(139,1)}
        48:{2,4,6}:{(27,1),(28,1),(75,1),(76,1),(128,1)}
        49:{3,4,5}:{(28,1),(67,1),(76,1),(77,1)}
        50:{3,4,5,7}:{(29,1),(35,1),(78,1),(79,1),(84,1),(94,1),(144,1),(149,1),(157,1),(161,1),(206,1)}
        51:{1,4,6}:{(29,1),(30,1),(79,1),(81,1)}
        52:{1,3,6,7}:{(30,1),(39,1),(80,1),(82,1),(92,1),(199,1),(226,1)}
        53:{1,3,5,6}:{(30,1),(31,1),(40,1),(81,1),(82,1),(83,1),(93,1),(97,1),(148,1)}
        54:{1,4,5}:{(31,1),(83,1),(84,1),(94,1)}
        55:{1,2,4,7}:{(32,1),(33,1),(34,1),(85,1),(86,1),(100,1)}
        56:{1,2,3,6}:{(32,1),(86,1),(87,1),(202,1),(228,1)}
        57:{2,3,5,7}:{(33,1),(35,1),(78,1),(85,1),(88,1),(89,1),(99,1),(163,1)}
        58:{2,3,4,6}:{(33,1),(36,1),(86,1),(88,1),(89,1),(154,1),(156,1),(202,1)}
        59:{1,3,5,7}:{(34,1),(35,1),(43,1),(85,1),(90,1),(91,1),(98,1),(162,1)}
        60:{1,3,4,6}:{(34,1),(36,1),(86,1),(90,1),(91,1),(154,1),(159,1),(202,1)}
        61:{3,6}:{(35,1),(37,1)}
        62:{3,5}:{(36,1),(38,1),(94,1)}
        63:{1,2,4,6,7}:{(37,1),(39,1),(45,1),(80,1),(92,1),(95,1),(96,1),(101,1),(142,1),(151,1),(161,1),(201,1)}
        64:{1,2,5,6}:{(37,1),(38,1),(46,1),(81,1),(93,1),(95,1),(102,1),(143,1)}
        65:{1,2,5,7}:{(39,1),(40,1),(47,1),(82,1),(96,1),(170,1),(200,1)}
        66:{1,2,4,6}:{(40,1),(41,1),(48,1),(83,1),(96,1),(97,1),(109,1),(150,1),(164,1)}
        67:{3,5}:{(41,1),(42,1),(97,1)}
        68:{1,3,4}:{(42,1),(98,1),(100,1)}
        69:{2,3,4}:{(42,1),(99,1),(100,1)}
        70:{1,4,6}:{(43,1),(44,1),(90,1),(102,1)}
        71:{3,4,6,7}:{(44,1),(45,1),(92,1),(101,1),(103,1),(108,1),(161,1),(168,1),(169,1),(208,1),(210,1)}
        72:{3,5,6}:{(44,1),(46,1),(102,1),(103,1),(104,1)}
        73:{2,5,7}:{(45,1),(46,1),(103,1)}
        74:{2,4,5,6}:{(46,1),(48,1),(104,1),(106,1),(107,1)}
        75:{2,4,7}:{(47,1),(48,1),(108,1),(161,1)}
        76:{3,4,6}:{(48,1),(49,1),(97,1),(107,1),(108,1),(109,1)}
        77:{1,4,5}:{(49,1),(98,1),(109,1)}
        78:{2,4,5,7}:{(50,1),(57,1),(110,1),(117,1),(123,1),(171,1),(178,1),(184,1)}
        79:{3,4,6}:{(50,1),(51,1),(61,1),(110,1),(112,1),(128,1)}
        80:{1,4,6,7}:{(51,1),(52,1),(111,1),(113,1),(115,1),(221,1),(229,1)}
        81:{1,5,6}:{(51,1),(112,1),(113,1)}
        82:{1,3,5,7}:{(52,1),(53,1),(65,1),(113,1),(115,1),(127,1),(129,1),(176,1)}
        83:{1,4,6}:{(53,1),(54,1),(115,1),(116,1),(128,1)}
        84:{3,4,5}:{(54,1),(67,1),(116,1),(117,1)}
        85:{1,2,5,7}:{(55,1),(57,1),(59,1),(118,1),(119,1),(132,1),(190,1)}
        86:{1,2,4,6}:{(55,1),(56,1),(58,1),(60,1),(118,1),(119,1),(120,1)}
        87:{1,2,3,5}:{(56,1),(119,1),(120,1),(181,1),(219,1),(220,1)}
        88:{2,3,6}:{(57,1),(61,1),(110,1),(118,1)}
        89:{2,3,5}:{(58,1),(62,1),(119,1),(123,1),(181,1)}
        90:{1,3,6}:{(59,1),(61,1),(70,1),(118,1)}
        91:{1,3,5}:{(60,1),(62,1),(119,1),(126,1),(181,1)}
        92:{3,6,7}:{(61,1),(63,1),(127,1),(129,1),(216,1)}
        93:{3,5,6}:{(61,1),(62,1),(64,1),(127,1),(128,1)}
        94:{4,5}:{(62,1),(128,1)}
        95:{1,2,5,7}:{(63,1),(64,1),(73,1),(113,1),(127,1),(134,1),(171,1)}
        96:{1,2,4,7}:{(65,1),(66,1),(75,1),(115,1),(129,1),(141,1),(178,1),(190,1)}
        97:{3,6}:{(66,1),(67,1),(129,1)}
        98:{1,3,5}:{(67,1),(68,1),(77,1),(130,1),(132,1)}
        99:{2,3,5}:{(67,1),(69,1),(117,1),(131,1),(132,1)}
       100:{1,2,4}:{(68,1),(69,1),(132,1),(133,1)}
       101:{1,4,6,7}:{(70,1),(71,1),(124,1),(134,1),(141,1),(187,1),(194,1)}
       102:{1,5,6}:{(70,1),(72,1),(134,1)}
       103:{3,5,7}:{(71,1),(72,1),(73,1),(134,1),(137,1)}
       104:{4,5,6}:{(72,1),(128,1),(137,1)}
       105:{2,5,6,7}:{(73,1),(136,1),(138,1),(223,1)}
       106:{2,4,5,7}:{(73,1),(74,1),(75,1),(137,1),(138,1),(139,1)}
       107:{3,5,6}:{(74,1),(76,1),(139,1),(140,1)}
       108:{3,4,7}:{(75,1),(76,1),(129,1),(139,1),(141,1)}
       109:{1,4,6}:{(76,1),(77,1),(130,1),(140,1),(141,1)}
       110:{2,4,6}:{(78,1),(79,1),(88,1),(143,1)}
       111:{3,4,6,7}:{(79,1),(80,1),(92,1),(142,1),(144,1),(149,1),(161,1),(198,1),(199,1),(206,1),(224,1)}
       112:{3,5,6}:{(79,1),(81,1),(143,1),(144,1),(145,1)}
       113:{1,5,7}:{(80,1),(81,1),(144,1)}
       114:{1,4,5,6}:{(81,1),(83,1),(145,1),(147,1),(148,1)}
       115:{1,4,7}:{(82,1),(83,1),(149,1),(161,1)}
       116:{3,4,6}:{(83,1),(84,1),(97,1),(148,1),(149,1),(150,1)}
       117:{2,4,5}:{(84,1),(99,1),(150,1)}
       118:{1,2,6}:{(85,1),(88,1),(90,1)}
       119:{1,2,5}:{(86,1),(89,1),(91,1)}
       120:{1,2,4}:{(87,1),(154,1)}
       121:{2,3,6,7}:{(88,1),(92,1),(142,1),(151,1),(155,1),(163,1),(224,1)}
       122:{2,3,5,6}:{(88,1),(89,1),(93,1),(143,1),(152,1),(155,1),(156,1),(197,1),(202,1)}
       123:{2,4,5}:{(89,1),(94,1),(156,1),(157,1)}
       124:{1,3,6,7}:{(90,1),(92,1),(101,1),(151,1),(158,1),(162,1),(210,1)}
       125:{1,3,5,6}:{(90,1),(91,1),(93,1),(102,1),(152,1),(158,1),(159,1),(167,1),(202,1)}
       126:{1,4,5}:{(91,1),(94,1),(159,1),(160,1)}
       127:{3,5,7}:{(92,1),(93,1),(95,1),(161,1)}
       128:{4,6}:{(93,1),(94,1),(161,1)}
       129:{3,7}:{(96,1),(97,1)}
       130:{1,3,6}:{(97,1),(98,1),(109,1),(162,1),(164,1)}
       131:{2,3,6}:{(97,1),(99,1),(150,1),(163,1),(164,1)}
       132:{1,2,5}:{(98,1),(99,1),(100,1),(164,1)}
       133:{1,2,3}:{(100,1)}
       134:{1,5,7}:{(101,1),(102,1),(103,1)}
       135:{1,4,5,6}:{(102,1),(104,1),(159,1),(166,1),(167,1)}
       136:{3,5,6,7}:{(103,1),(105,1),(165,1),(168,1),(169,1),(210,1)}
       137:{4,5,7}:{(103,1),(104,1),(161,1),(168,1)}
       138:{2,4,6,7}:{(105,1),(106,1),(168,1),(169,1)}
       139:{3,5,7}:{(106,1),(107,1),(108,1),(169,1),(170,1)}
       140:{1,5,6}:{(107,1),(109,1),(170,1)}
       141:{1,4,7}:{(108,1),(109,1),(162,1),(170,1)}
       142:{2,4,6,7}:{(110,1),(111,1),(121,1),(171,1),(178,1),(184,1),(215,1)}
       143:{2,5,6}:{(110,1),(112,1),(171,1)}
       144:{3,5,7}:{(111,1),(112,1),(113,1),(171,1),(174,1)}
       145:{4,5,6}:{(112,1),(128,1),(174,1)}
       146:{1,5,6,7}:{(113,1),(173,1),(175,1),(229,1)}
       147:{1,4,5,7}:{(113,1),(114,1),(115,1),(174,1),(175,1),(176,1)}
       148:{3,5,6}:{(114,1),(116,1),(176,1),(177,1)}
       149:{3,4,7}:{(115,1),(116,1),(129,1),(176,1),(178,1)}
       150:{2,4,6}:{(116,1),(117,1),(131,1),(177,1),(178,1)}
       151:{1,2,6,7}:{(118,1),(121,1),(124,1),(179,1),(190,1),(223,1),(229,1)}
       152:{1,2,5,6}:{(118,1),(119,1),(122,1),(125,1),(179,1),(180,1),(193,1),(214,1)}
       153:{1,2,4,5}:{(119,1),(120,1),(123,1),(126,1),(180,1),(181,1),(186,1),(189,1),(219,1)}
       154:{3,4}:{(120,1),(181,1)}
       155:{2,3,5,7}:{(121,1),(122,1),(127,1),(171,1),(179,1),(184,1),(213,1),(216,1)}
       156:{2,4,6}:{(122,1),(123,1),(128,1),(184,1),(185,1)}
       157:{3,4,5}:{(123,1),(181,1),(185,1),(186,1)}
       158:{1,3,5,7}:{(124,1),(125,1),(127,1),(134,1),(179,1),(187,1),(192,1),(216,1)}
       159:{1,4,6}:{(125,1),(126,1),(128,1),(187,1),(188,1)}
       160:{3,4,5}:{(126,1),(181,1),(188,1),(189,1)}
       161:{4,7}:{(127,1),(128,1)}
       162:{1,3,7}:{(129,1),(130,1),(141,1),(190,1)}
       163:{2,3,7}:{(129,1),(131,1),(178,1),(190,1)}
       164:{1,2,6}:{(130,1),(131,1),(132,1),(190,1)}
       165:{1,5,6,7}:{(134,1),(136,1),(191,1),(194,1)}
       166:{1,4,5,7}:{(134,1),(135,1),(137,1),(187,1),(191,1),(192,1)}
       167:{3,5,6}:{(135,1),(188,1),(192,1),(193,1)}
       168:{4,6,7}:{(136,1),(137,1)}
       169:{3,6,7}:{(138,1),(139,1),(194,1)}
       170:{1,5,7}:{(139,1),(140,1),(141,1),(194,1)}
       171:{2,5,7}:{(142,1),(143,1),(144,1)}
       172:{2,4,5,6}:{(143,1),(145,1),(156,1),(196,1),(197,1)}
       173:{3,5,6,7}:{(144,1),(146,1),(195,1),(198,1),(199,1),(224,1)}
       174:{4,5,7}:{(144,1),(145,1),(161,1),(198,1)}
       175:{1,4,6,7}:{(146,1),(147,1),(198,1),(199,1)}
       176:{3,5,7}:{(147,1),(148,1),(149,1),(199,1),(200,1)}
       177:{2,5,6}:{(148,1),(150,1),(200,1)}
       178:{2,4,7}:{(149,1),(150,1),(163,1),(200,1)}
       179:{1,2,5,7}:{(151,1),(152,1),(155,1),(158,1),(201,1),(211,1),(225,1)}
       180:{1,2,4,6}:{(152,1),(153,1),(156,1),(159,1),(201,1),(202,1),(207,1),(209,1),(228,1)}
       181:{3,5}:{(153,1),(154,1),(202,1)}
       182:{1,3,4}:{(154,1),(203,1),(205,1)}
       183:{2,3,4}:{(154,1),(204,1),(205,1)}
       184:{2,4,7}:{(155,1),(156,1),(161,1),(206,1)}
       185:{3,4,6}:{(156,1),(157,1),(197,1),(202,1),(206,1),(207,1)}
       186:{1,4,5}:{(157,1),(203,1),(207,1)}
       187:{1,4,7}:{(158,1),(159,1),(161,1),(208,1)}
       188:{3,4,6}:{(159,1),(160,1),(167,1),(202,1),(208,1),(209,1)}
       189:{2,4,5}:{(160,1),(204,1),(209,1)}
       190:{1,2,7}:{(162,1),(163,1),(164,1)}
       191:{1,4,6,7}:{(165,1),(166,1),(168,1),(210,1)}
       192:{3,5,7}:{(166,1),(167,1),(208,1),(210,1),(211,1)}
       193:{2,5,6}:{(167,1),(209,1),(211,1)}
       194:{1,6,7}:{(169,1),(170,1)}
       195:{2,5,6,7}:{(171,1),(173,1),(212,1),(215,1)}
       196:{2,4,5,7}:{(171,1),(172,1),(174,1),(184,1),(212,1),(213,1)}
       197:{3,5,6}:{(172,1),(185,1),(213,1),(214,1)}
       198:{4,6,7}:{(173,1),(174,1)}
       199:{3,6,7}:{(175,1),(176,1),(215,1)}
       200:{2,5,7}:{(176,1),(177,1),(178,1),(215,1)}
       201:{1,2,4,7}:{(179,1),(180,1),(184,1),(187,1),(216,1),(221,1),(222,1),(230,1)}
       202:{3,6}:{(180,1),(181,1),(216,1)}
       203:{1,3,5}:{(181,1),(182,1),(186,1),(217,1),(219,1)}
       204:{2,3,5}:{(181,1),(183,1),(189,1),(218,1),(219,1)}
       205:{1,2,4}:{(182,1),(183,1),(219,1),(220,1)}
       206:{3,4,7}:{(184,1),(185,1),(213,1),(216,1),(221,1)}
       207:{1,4,6}:{(185,1),(186,1),(214,1),(217,1),(221,1)}
       208:{3,4,7}:{(187,1),(188,1),(192,1),(216,1),(222,1)}
       209:{2,4,6}:{(188,1),(189,1),(193,1),(218,1),(222,1)}
       210:{3,6,7}:{(191,1),(192,1),(223,1)}
       211:{2,5,7}:{(192,1),(193,1),(222,1),(223,1)}
       212:{2,4,6,7}:{(195,1),(196,1),(198,1),(224,1)}
       213:{3,5,7}:{(196,1),(197,1),(206,1),(224,1),(225,1)}
       214:{1,5,6}:{(197,1),(207,1),(225,1)}
       215:{2,6,7}:{(199,1),(200,1)}
       216:{3,7}:{(201,1),(202,1)}
       217:{1,3,6}:{(202,1),(203,1),(207,1),(226,1),(228,1)}
       218:{2,3,6}:{(202,1),(204,1),(209,1),(227,1),(228,1)}
       219:{1,2,5}:{(203,1),(204,1),(205,1),(228,1)}
       220:{1,2,3}:{(205,1)}
       221:{1,4,7}:{(206,1),(207,1),(225,1),(226,1)}
       222:{2,4,7}:{(208,1),(209,1),(211,1),(227,1)}
       223:{2,6,7}:{(210,1),(211,1)}
       224:{3,6,7}:{(212,1),(213,1),(229,1)}
       225:{1,5,7}:{(213,1),(214,1),(221,1),(229,1)}
       226:{1,3,7}:{(216,1),(217,1),(221,1),(230,1)}
       227:{2,3,7}:{(216,1),(218,1),(222,1),(230,1)}
       228:{1,2,6}:{(217,1),(218,1),(219,1),(230,1)}
       229:{1,6,7}:{(224,1),(225,1)}
       230:{1,2,7}:{(226,1),(227,1),(228,1)}

 653 :   0:{1,3,5,7}:{(3,1),(4,1),(5,1),(21,1),(23,1),(27,1),(58,1)}
         1:{2,3,5,7}:{(3,1),(6,1),(7,1),(8,1),(23,1),(30,1),(58,1)}
         2:{2,4,5,7}:{(6,1),(8,1),(9,1),(30,1),(32,1),(62,1),(64,1)}
         3:{1,2,5,7}:{(0,1),(1,1),(11,1),(12,1),(18,1),(36,1),(42,1)}
         4:{1,4,7}:{(0,1),(13,1),(14,1),(73,1),(101,1)}
         5:{1,3,6}:{(0,1),(12,1),(14,1),(37,1),(41,1),(102,1)}
         6:{2,4,7}:{(1,1),(15,1),(16,1),(73,1),(95,1)}
         7:{2,3,6}:{(1,1),(12,1),(16,1),(19,1),(41,1),(103,1)}
         8:{3,5,7}:{(2,1),(15,1),(18,1),(19,1),(46,1)}
         9:{2,4,6}:{(2,1),(19,1),(20,1),(50,1)}
        10:{1,4,5,7}:{(4,1),(21,1),(22,1),(27,1),(52,1),(60,1),(79,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(6,1),(23,1),(24,1),(25,1),(28,1),(55,1)}
        12:{1,2,6}:{(3,1),(5,1),(7,1),(33,1),(53,1),(104,1)}
        13:{3,4,7}:{(4,1),(21,1),(23,1),(25,1),(26,1),(79,1),(96,1)}
        14:{1,4,6}:{(4,1),(5,1),(26,1),(27,1),(97,1),(100,1)}
        15:{3,4,7}:{(6,1),(8,1),(23,1),(28,1),(29,1),(64,1),(86,1)}
        16:{2,4,6}:{(6,1),(7,1),(29,1),(30,1),(87,1),(99,1)}
        17:{2,4,6,7}:{(9,1),(31,1),(32,1),(64,1)}
        18:{1,5,7}:{(8,1),(28,1),(33,1),(61,1)}
        19:{3,6}:{(8,1),(9,1),(33,1)}
        20:{2,5,6}:{(9,1),(30,1),(32,1),(34,1),(87,1)}
        21:{3,5,7}:{(10,1),(13,1),(36,1),(37,1),(44,1)}
        22:{1,4,6}:{(10,1),(37,1),(38,1),(69,1)}
        23:{3,7}:{(11,1),(41,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(14,1),(16,1),(41,1),(42,1),(43,1),(45,1),(70,1),(73,1),(90,1)}
        25:{2,4,7}:{(13,1),(36,1),(40,1),(43,1)}
        26:{3,4,6}:{(13,1),(14,1),(37,1),(41,1),(43,1),(44,1),(69,1),(73,1),(89,1),(92,1)}
        27:{1,5}:{(14,1),(44,1)}
        28:{1,4,7}:{(15,1),(18,1),(39,1),(45,1)}
        29:{3,4,6}:{(15,1),(16,1),(19,1),(41,1),(45,1),(46,1),(50,1),(73,1),(77,1),(91,1)}
        30:{2,5}:{(16,1),(46,1)}
        31:{3,6,7}:{(17,1),(19,1),(47,1),(48,1)}
        32:{2,5,7}:{(17,1),(20,1),(48,1),(95,1)}
        33:{1,6}:{(18,1),(19,1)}
        34:{3,5,6}:{(19,1),(20,1),(46,1),(48,1),(49,1),(50,1),(77,1)}
        35:{1,4,6,7}:{(22,1),(51,1),(52,1),(79,1)}
        36:{2,5,7}:{(21,1),(25,1),(53,1),(59,1)}
        37:{3,6}:{(21,1),(22,1),(53,1)}
        38:{1,5,6}:{(22,1),(27,1),(52,1),(54,1),(97,1)}
        39:{1,3,7}:{(23,1),(28,1),(55,1),(56,1),(86,1)}
        40:{2,3,7}:{(23,1),(25,1),(55,1),(57,1),(96,1)}
        41:{3,6}:{(23,1),(24,1),(58,1),(98,1)}
        42:{1,2,5}:{(24,1),(27,1),(30,1),(58,1),(59,1),(61,1)}
        43:{2,4,6}:{(25,1),(26,1),(53,1),(57,1),(59,1),(83,1)}
        44:{3,5}:{(26,1),(27,1),(59,1),(60,1)}
        45:{1,4,6}:{(28,1),(29,1),(33,1),(56,1),(61,1),(82,1)}
        46:{3,5}:{(29,1),(30,1),(61,1),(62,1)}
        47:{1,6,7}:{(31,1),(33,1),(63,1)}
        48:{3,5,7}:{(31,1),(32,1),(34,1),(63,1),(64,1),(86,1)}
        49:{1,5,6}:{(33,1),(34,1),(61,1),(63,1),(65,1)}
        50:{4,6}:{(34,1),(62,1),(64,1)}
        51:{3,6,7}:{(35,1),(37,1),(66,1),(67,1)}
        52:{1,5,7}:{(35,1),(38,1),(67,1),(101,1)}
        53:{2,6}:{(36,1),(37,1)}
        54:{3,5,6}:{(37,1),(38,1),(44,1),(67,1),(68,1),(69,1),(89,1)}
        55:{1,2,7}:{(39,1),(40,1),(70,1),(95,1),(101,1)}
        56:{1,3,6}:{(39,1),(41,1),(45,1),(70,1),(71,1),(77,1)}
        57:{2,3,6}:{(40,1),(41,1),(43,1),(70,1),(72,1),(89,1)}
        58:{3,5}:{(41,1),(42,1),(73,1)}
        59:{2,5}:{(43,1),(44,1)}
        60:{4,5}:{(44,1),(69,1),(73,1)}
        61:{1,5}:{(45,1),(46,1)}
        62:{4,5}:{(46,1),(50,1),(73,1)}
        63:{1,5,7}:{(47,1),(48,1),(49,1),(76,1)}
        64:{4,7}:{(48,1),(50,1)}
        65:{1,4,6}:{(49,1),(50,1),(75,1),(76,1),(77,1)}
        66:{2,6,7}:{(51,1),(53,1),(78,1)}
        67:{3,5,7}:{(51,1),(52,1),(54,1),(78,1),(79,1),(96,1)}
        68:{2,5,6}:{(53,1),(54,1),(59,1),(78,1),(80,1)}
        69:{4,6}:{(54,1),(60,1),(79,1)}
        70:{1,2,6}:{(55,1),(56,1),(57,1),(81,1),(87,1),(97,1)}
        71:{1,3,5}:{(56,1),(58,1),(61,1),(81,1),(82,1),(85,1),(98,1)}
        72:{2,3,5}:{(57,1),(58,1),(59,1),(81,1),(83,1),(84,1),(98,1)}
        73:{4}:{(58,1)}
        74:{2,4,5}:{(59,1),(60,1),(80,1),(83,1),(84,1)}
        75:{1,4,5}:{(61,1),(62,1),(65,1),(82,1),(85,1)}
        76:{1,4,7}:{(63,1),(64,1),(65,1),(86,1)}
        77:{3,6}:{(65,1),(85,1),(86,1),(87,1)}
        78:{2,5,7}:{(66,1),(67,1),(68,1),(88,1)}
        79:{4,7}:{(67,1),(69,1)}
        80:{2,4,6}:{(68,1),(69,1),(74,1),(88,1),(89,1)}
        81:{1,2,5}:{(70,1),(71,1),(72,1),(90,1),(93,1),(94,1)}
        82:{1,4}:{(71,1),(73,1),(91,1)}
        83:{2,4}:{(72,1),(73,1),(92,1)}
        84:{3,5}:{(74,1),(89,1),(92,1),(93,1)}
        85:{3,5}:{(75,1),(77,1),(91,1),(94,1)}
        86:{3,7}:{(76,1),(77,1),(95,1)}
        87:{2,6}:{(77,1),(94,1),(95,1)}
        88:{2,4,7}:{(78,1),(79,1),(80,1),(96,1)}
        89:{3,6}:{(80,1),(84,1),(96,1),(97,1)}
        90:{1,2,4}:{(81,1),(82,1),(83,1),(98,1),(99,1),(100,1),(104,1)}
        91:{3,4}:{(82,1),(85,1),(98,1),(99,1)}
        92:{3,4}:{(83,1),(84,1),(98,1),(100,1)}
        93:{1,5}:{(84,1),(97,1),(100,1)}
        94:{2,5}:{(85,1),(87,1),(99,1)}
        95:{2,7}:{(86,1),(87,1)}
        96:{3,7}:{(88,1),(89,1),(101,1)}
        97:{1,6}:{(89,1),(93,1),(101,1)}
        98:{3}:{(90,1)}
        99:{2,4}:{(91,1),(94,1),(103,1)}
       100:{1,4}:{(92,1),(93,1),(102,1)}
       101:{1,7}:{(96,1),(97,1)}
       102:{1,3}:{(98,1),(100,1),(104,1)}
       103:{2,3}:{(98,1),(99,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

 654 :   0:{1,2,3}:{(3,1)}
         1:{2,3,4}:{(3,1),(4,1),(12,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(7,1),(8,1),(22,1),(26,1),(27,1),(55,1)}
         3:{1,2,4}:{(0,1),(1,1),(5,1),(8,1)}
         4:{2,3,5}:{(1,1),(8,1),(9,1),(10,1),(26,1)}
         5:{1,3,4}:{(3,1),(11,1),(12,1)}
         6:{1,2,3,6}:{(2,1),(13,1),(14,1),(16,1),(43,1),(73,1)}
         7:{1,2,4}:{(2,1),(12,1)}
         8:{1,2,5}:{(3,1),(4,1),(11,1),(16,1)}
         9:{2,4,5}:{(4,1),(17,1),(18,1)}
        10:{2,3,6}:{(4,1),(16,1),(18,1),(19,1),(43,1)}
        11:{1,3,5}:{(5,1),(8,1),(20,1),(21,1),(26,1)}
        12:{3,4}:{(7,1),(26,1)}
        13:{1,2,4,6}:{(6,1),(7,1),(25,1),(27,1),(28,1),(63,1)}
        14:{1,2,3,7}:{(6,1),(28,1),(30,1),(61,1),(89,1)}
        15:{1,2,4,5}:{(7,1),(8,1),(9,1),(20,1),(26,1),(27,1),(29,1),(31,1),(51,1),(55,1),(58,1)}
        16:{1,2,6}:{(8,1),(10,1),(21,1),(30,1)}
        17:{3,4,5}:{(9,1),(26,1),(31,1),(32,1),(58,1)}
        18:{2,4,6}:{(9,1),(10,1),(32,1),(33,1),(34,1)}
        19:{2,3,7}:{(10,1),(30,1),(34,1),(61,1)}
        20:{1,4,5}:{(11,1),(35,1),(36,1)}
        21:{1,3,6}:{(11,1),(16,1),(36,1),(37,1),(43,1)}
        22:{1,2,3}:{(38,1)}
        23:{2,3,4}:{(12,1),(38,1),(39,1)}
        24:{1,3,4}:{(12,1),(38,1),(40,1)}
        25:{3,4,6}:{(12,1),(13,1),(41,1),(42,1),(43,1),(76,1),(79,1)}
        26:{3,5}:{(12,1),(15,1),(43,1)}
        27:{1,2,5}:{(13,1),(41,1)}
        28:{1,2,4,7}:{(13,1),(14,1),(42,1),(45,1)}
        29:{1,2,4,6}:{(15,1),(16,1),(18,1),(36,1),(43,1),(44,1),(46,1),(47,1),(69,1),(73,1),(76,1)}
        30:{1,2,7}:{(16,1),(19,1),(37,1)}
        31:{1,4,5}:{(17,1),(40,1),(47,1)}
        32:{3,4,6}:{(17,1),(18,1),(43,1),(47,1),(48,1),(49,1),(76,1)}
        33:{2,5,6}:{(18,1),(48,1),(50,1)}
        34:{2,4,7}:{(18,1),(19,1),(49,1),(50,1)}
        35:{3,4,5}:{(20,1),(26,1),(51,1),(52,1),(58,1)}
        36:{1,4,6}:{(20,1),(21,1),(52,1),(53,1),(54,1)}
        37:{1,3,7}:{(21,1),(30,1),(54,1),(61,1)}
        38:{1,2,4}:{(22,1),(23,1),(24,1),(55,1)}
        39:{2,3,5}:{(23,1),(26,1),(51,1),(55,1),(56,1)}
        40:{1,3,5}:{(24,1),(26,1),(31,1),(55,1),(57,1)}
        41:{3,5}:{(25,1),(27,1),(58,1)}
        42:{3,4,7}:{(25,1),(28,1),(60,1),(61,1),(90,1)}
        43:{3,6}:{(26,1),(29,1),(61,1)}
        44:{1,2,5,6}:{(27,1),(29,1),(33,1),(53,1),(59,1),(62,1),(63,1),(64,1),(84,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(60,1),(63,1)}
        46:{1,2,4,7}:{(29,1),(30,1),(34,1),(54,1),(61,1),(62,1),(65,1),(85,1),(89,1),(90,1)}
        47:{1,4,6}:{(31,1),(32,1),(57,1),(64,1),(65,1)}
        48:{3,5,6}:{(32,1),(33,1),(64,1),(66,1),(67,1)}
        49:{3,4,7}:{(32,1),(34,1),(61,1),(65,1),(67,1),(90,1)}
        50:{2,5,7}:{(33,1),(34,1),(67,1),(68,1)}
        51:{2,4,5}:{(35,1),(39,1),(69,1)}
        52:{3,4,6}:{(35,1),(36,1),(43,1),(69,1),(70,1),(71,1),(76,1)}
        53:{1,5,6}:{(36,1),(70,1),(72,1)}
        54:{1,4,7}:{(36,1),(37,1),(71,1),(72,1)}
        55:{1,2,5}:{(38,1),(39,1),(40,1),(73,1)}
        56:{2,3,6}:{(39,1),(43,1),(69,1),(73,1),(74,1)}
        57:{1,3,6}:{(40,1),(43,1),(47,1),(73,1),(75,1)}
        58:{4,5}:{(41,1),(76,1)}
        59:{3,5,6}:{(41,1),(43,1),(44,1),(76,1),(78,1),(79,1),(99,1)}
        60:{3,5,7}:{(41,1),(42,1),(45,1),(77,1),(79,1)}
        61:{3,7}:{(43,1),(46,1)}
        62:{1,2,5,7}:{(44,1),(46,1),(50,1),(72,1),(78,1),(80,1),(81,1),(95,1)}
        63:{1,2,6}:{(45,1),(79,1)}
        64:{1,5,6}:{(47,1),(48,1),(81,1)}
        65:{1,4,7}:{(47,1),(49,1),(75,1),(81,1)}
        66:{4,5,6}:{(48,1),(76,1),(82,1),(99,1)}
        67:{3,5,7}:{(48,1),(49,1),(50,1),(81,1),(82,1),(83,1)}
        68:{2,6,7}:{(50,1),(83,1)}
        69:{2,4,6}:{(51,1),(52,1),(56,1),(84,1),(85,1)}
        70:{3,5,6}:{(52,1),(53,1),(84,1),(86,1),(87,1)}
        71:{3,4,7}:{(52,1),(54,1),(61,1),(85,1),(87,1),(90,1)}
        72:{1,5,7}:{(53,1),(54,1),(87,1),(88,1)}
        73:{1,2,6}:{(55,1),(56,1),(57,1),(89,1)}
        74:{2,3,7}:{(56,1),(61,1),(85,1),(89,1)}
        75:{1,3,7}:{(57,1),(61,1),(65,1),(89,1)}
        76:{4,6}:{(58,1),(59,1),(90,1)}
        77:{4,5,7}:{(58,1),(60,1),(90,1),(91,1),(103,1)}
        78:{3,5,7}:{(59,1),(61,1),(62,1),(90,1),(92,1),(103,1)}
        79:{3,6}:{(60,1),(63,1),(91,1)}
        80:{1,2,6,7}:{(62,1),(63,1),(68,1),(88,1),(92,1),(93,1),(101,1)}
        81:{1,5,7}:{(64,1),(65,1),(67,1),(93,1)}
        82:{4,5,7}:{(66,1),(67,1),(90,1),(94,1),(103,1)}
        83:{3,6,7}:{(67,1),(68,1),(93,1),(94,1)}
        84:{2,5,6}:{(69,1),(70,1),(95,1)}
        85:{2,4,7}:{(69,1),(71,1),(74,1),(95,1)}
        86:{4,5,6}:{(70,1),(76,1),(96,1),(99,1)}
        87:{3,5,7}:{(70,1),(71,1),(72,1),(95,1),(96,1),(97,1)}
        88:{1,6,7}:{(72,1),(97,1)}
        89:{1,2,7}:{(73,1),(74,1),(75,1)}
        90:{4,7}:{(76,1),(78,1)}
        91:{4,6}:{(77,1),(79,1),(99,1)}
        92:{3,6,7}:{(78,1),(79,1),(80,1),(98,1)}
        93:{1,6,7}:{(81,1),(83,1)}
        94:{4,6,7}:{(82,1),(83,1),(100,1)}
        95:{2,5,7}:{(84,1),(85,1),(87,1),(101,1)}
        96:{4,5,7}:{(86,1),(87,1),(90,1),(102,1),(103,1)}
        97:{3,6,7}:{(87,1),(88,1),(101,1),(102,1)}
        98:{4,6,7}:{(90,1),(91,1),(92,1),(103,1)}
        99:{5,6}:{(91,1),(103,1)}
       100:{5,6,7}:{(94,1),(103,1)}
       101:{2,6,7}:{(95,1),(97,1)}
       102:{4,6,7}:{(96,1),(97,1),(104,1)}
       103:{5,7}:{(98,1),(99,1)}
       104:{5,6,7}:{(102,1),(103,1)}

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

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

 657 :   0:{2,4,5,6}:{(1,1),(2,1),(14,1),(92,1),(93,1)}
         1:{3,5,6}:{(0,1),(4,1),(5,1),(7,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(8,1),(31,1),(77,1),(78,1)}
         3:{2,3,4,6}:{(10,1),(11,1),(12,1),(14,1),(45,1),(49,1),(88,1),(96,1),(139,1)}
         4:{3,4,6}:{(1,1),(9,1),(13,1),(14,1),(15,1),(49,1)}
         5:{1,5,6}:{(1,1),(13,1),(17,1)}
         6:{2,3,5,6}:{(1,1),(10,1),(14,1),(16,1),(18,1),(45,1),(49,1),(92,1),(140,1)}
         7:{3,5,7}:{(1,1),(2,1),(15,1),(17,1),(19,1)}
         8:{2,4,6,7}:{(2,1),(19,1),(20,1),(58,1)}
         9:{3,4,5}:{(4,1),(21,1),(22,1),(62,1)}
        10:{2,3,5}:{(3,1),(22,1),(24,1),(62,1),(120,1),(160,1)}
        11:{1,2,4,6}:{(3,1),(24,1),(26,1),(27,1),(67,1),(69,1),(119,1)}
        12:{2,3,4,7}:{(3,1),(25,1),(27,1),(31,1),(74,1),(115,1),(121,1),(204,1)}
        13:{1,4,6}:{(4,1),(5,1),(21,1),(28,1),(30,1)}
        14:{2,4,6}:{(4,1),(6,1),(22,1),(31,1),(161,1)}
        15:{3,4,7}:{(4,1),(7,1),(30,1),(31,1),(74,1)}
        16:{1,2,5,6}:{(5,1),(6,1),(24,1),(29,1),(33,1),(34,1),(69,1),(120,1),(163,1)}
        17:{1,5,7}:{(5,1),(7,1),(30,1),(35,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(31,1),(34,1),(36,1),(74,1),(77,1),(127,1)}
        19:{3,6,7}:{(7,1),(8,1),(35,1)}
        20:{2,5,6,7}:{(8,1),(37,1),(77,1),(131,1)}
        21:{1,4,5}:{(9,1),(13,1),(38,1)}
        22:{2,4,5}:{(9,1),(10,1),(14,1),(177,1)}
        23:{3,4,5,7}:{(9,1),(15,1),(40,1),(41,1),(42,1),(53,1),(89,1),(147,1),(150,1),(172,1),(177,1)}
        24:{1,2,5}:{(10,1),(11,1),(43,1),(142,1)}
        25:{2,3,5,7}:{(10,1),(12,1),(41,1),(44,1),(45,1),(89,1),(143,1),(182,1),(197,1)}
        26:{1,3,6}:{(11,1),(43,1),(46,1),(49,1)}
        27:{1,2,4,7}:{(11,1),(12,1),(44,1),(46,1),(94,1),(208,1)}
        28:{1,3,6}:{(13,1),(38,1),(47,1),(48,1),(49,1)}
        29:{1,2,4,6}:{(13,1),(14,1),(16,1),(39,1),(47,1),(49,1),(50,1),(54,1),(96,1)}
        30:{1,4,7}:{(13,1),(15,1),(17,1),(48,1)}
        31:{2,4,7}:{(14,1),(15,1),(18,1),(150,1)}
        32:{3,4,6,7}:{(15,1),(19,1),(42,1),(51,1),(52,1),(53,1),(58,1),(102,1),(107,1),(147,1),(150,1)}
        33:{1,3,5,6}:{(16,1),(43,1),(49,1),(54,1),(55,1),(95,1),(100,1),(140,1),(142,1),(148,1),(152,1)}
        34:{1,2,5,7}:{(16,1),(17,1),(18,1),(50,1),(55,1),(56,1),(143,1)}
        35:{1,6,7}:{(17,1),(19,1)}
        36:{2,3,6,7}:{(18,1),(19,1),(45,1),(52,1),(56,1),(102,1),(182,1)}
        37:{3,5,6,7}:{(19,1),(20,1),(53,1),(57,1),(58,1),(107,1)}
        38:{1,3,5}:{(21,1),(28,1),(59,1),(60,1),(62,1)}
        39:{1,2,4,5}:{(21,1),(22,1),(24,1),(29,1),(60,1),(62,1),(67,1),(79,1),(111,1),(120,1)}
        40:{1,4,5,7}:{(21,1),(23,1),(30,1),(61,1),(64,1),(76,1),(124,1),(155,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(25,1),(31,1),(65,1),(77,1),(167,1),(186,1)}
        42:{3,4,6}:{(23,1),(64,1),(65,1),(66,1),(116,1),(161,1)}
        43:{1,3,5}:{(24,1),(26,1),(62,1),(67,1)}
        44:{1,2,5,7}:{(24,1),(25,1),(27,1),(68,1),(69,1),(194,1),(205,1)}
        45:{2,3,6}:{(25,1),(65,1),(69,1),(116,1),(163,1)}
        46:{1,3,7}:{(26,1),(27,1),(74,1),(209,1)}
        47:{1,2,6}:{(28,1),(60,1),(70,1),(71,1)}
        48:{1,3,7}:{(28,1),(30,1),(71,1),(74,1)}
        49:{3,6}:{(29,1),(62,1),(74,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(71,1),(74,1),(80,1),(121,1)}
        51:{1,4,6,7}:{(30,1),(32,1),(35,1),(64,1),(72,1),(76,1),(124,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(36,1),(65,1),(77,1),(131,1),(167,1)}
        53:{3,5,7}:{(32,1),(66,1),(76,1),(77,1),(78,1)}
        54:{1,4,6}:{(33,1),(67,1),(73,1),(79,1),(80,1),(161,1)}
        55:{1,3,5,7}:{(33,1),(34,1),(74,1),(80,1),(81,1),(125,1),(127,1),(130,1)}
        56:{1,2,6,7}:{(34,1),(35,1),(36,1),(69,1),(81,1),(163,1),(194,1)}
        57:{1,5,6,7}:{(35,1),(37,1),(76,1),(82,1)}
        58:{4,6,7}:{(37,1),(78,1)}
        59:{1,3,4}:{(38,1),(83,1),(88,1)}
        60:{1,2,5}:{(38,1),(47,1),(83,1),(85,1)}
        61:{1,3,5,7}:{(38,1),(40,1),(48,1),(84,1),(86,1),(87,1),(89,1),(134,1),(202,1)}
        62:{3,5}:{(39,1),(49,1),(88,1)}
        63:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(44,1),(50,1),(86,1),(89,1),(90,1),(94,1),(103,1),(105,1),(135,1),(142,1),(143,1),(146,1),(150,1),(171,1),(173,1),(177,1),(179,1),(202,1)}
        64:{1,4,6}:{(40,1),(42,1),(87,1),(91,1)}
        65:{2,4,6}:{(41,1),(42,1),(45,1),(92,1)}
        66:{3,5,6}:{(42,1),(53,1),(91,1),(92,1),(93,1)}
        67:{1,4}:{(43,1),(88,1)}
        68:{1,3,5,7}:{(43,1),(44,1),(46,1),(89,1),(94,1),(95,1),(142,1),(181,1),(196,1),(202,1)}
        69:{1,2,6}:{(44,1),(45,1),(95,1)}
        70:{2,3,6}:{(47,1),(49,1),(85,1),(96,1),(97,1)}
        71:{1,2,7}:{(47,1),(48,1),(97,1)}
        72:{1,3,6,7}:{(48,1),(51,1),(87,1),(98,1),(99,1),(102,1),(107,1)}
        73:{3,4,6}:{(49,1),(54,1),(88,1),(96,1),(100,1),(101,1),(148,1)}
        74:{3,7}:{(49,1),(50,1)}
        75:{1,2,4,6,7}:{(50,1),(51,1),(52,1),(56,1),(90,1),(98,1),(102,1),(103,1),(106,1),(144,1),(146,1),(150,1)}
        76:{1,5,7}:{(51,1),(53,1),(91,1)}
        77:{2,5,7}:{(52,1),(53,1),(92,1)}
        78:{4,5,7}:{(53,1),(58,1),(93,1),(150,1)}
        79:{1,4,5}:{(54,1),(100,1),(142,1),(177,1)}
        80:{1,4,7}:{(54,1),(55,1),(101,1),(150,1)}
        81:{1,3,6,7}:{(55,1),(56,1),(95,1),(102,1),(106,1),(148,1),(181,1)}
        82:{1,4,6,7}:{(57,1),(58,1),(104,1),(107,1)}
        83:{1,2,4}:{(59,1),(60,1),(108,1),(111,1)}
        84:{1,3,4,7}:{(59,1),(61,1),(109,1),(110,1),(115,1),(124,1),(166,1),(193,1)}
        85:{2,3,5}:{(60,1),(62,1),(70,1),(108,1),(111,1),(120,1)}
        86:{1,2,5,7}:{(60,1),(61,1),(71,1),(109,1),(112,1),(113,1),(154,1)}
        87:{1,3,6}:{(61,1),(64,1),(113,1),(116,1),(207,1)}
        88:{3,4}:{(62,1),(67,1),(111,1)}
        89:{3,5,7}:{(62,1),(63,1),(74,1),(115,1),(116,1),(160,1),(166,1),(185,1)}
        90:{1,2,4,6}:{(63,1),(64,1),(65,1),(69,1),(113,1),(116,1),(117,1),(119,1),(129,1),(156,1),(161,1),(163,1),(191,1),(207,1)}
        91:{1,5,6}:{(64,1),(66,1),(76,1)}
        92:{2,5,6}:{(65,1),(66,1),(77,1)}
        93:{4,5,6}:{(66,1),(78,1),(161,1)}
        94:{1,4,7}:{(67,1),(68,1),(115,1),(119,1),(203,1)}
        95:{1,3,6}:{(68,1),(69,1),(116,1),(119,1),(207,1)}
        96:{2,4,6}:{(70,1),(73,1),(111,1),(120,1),(121,1),(163,1)}
        97:{2,3,7}:{(70,1),(71,1),(74,1),(121,1)}
        98:{1,2,6,7}:{(71,1),(72,1),(113,1),(122,1),(123,1),(131,1),(207,1)}
        99:{1,3,5,7}:{(72,1),(76,1),(114,1),(123,1),(124,1),(127,1),(128,1),(166,1)}
       100:{3,5}:{(73,1),(79,1),(120,1)}
       101:{3,4,7}:{(73,1),(74,1),(80,1),(121,1),(125,1)}
       102:{3,6,7}:{(74,1),(75,1),(116,1),(127,1),(166,1)}
       103:{1,2,5,7}:{(75,1),(76,1),(77,1),(117,1),(127,1),(130,1),(164,1)}
       104:{1,4,5,7}:{(76,1),(78,1),(82,1),(118,1),(124,1),(128,1)}
       105:{1,4,5,7}:{(79,1),(80,1),(125,1),(129,1),(130,1),(169,1)}
       106:{1,4,6,7}:{(80,1),(81,1),(119,1),(126,1),(129,1),(130,1),(193,1),(207,1)}
       107:{3,6,7}:{(82,1),(128,1),(131,1)}
       108:{2,3}:{(83,1)}
       109:{1,2,4,7}:{(83,1),(84,1),(86,1),(132,1),(133,1),(135,1)}
       110:{1,3,4,6}:{(84,1),(87,1),(133,1),(134,1),(138,1),(139,1),(175,1),(195,1),(199,1)}
       111:{2,4}:{(85,1),(88,1)}
       112:{2,3,5,7}:{(85,1),(86,1),(89,1),(97,1),(132,1),(135,1),(136,1),(143,1),(170,1),(173,1)}
       113:{1,2,6}:{(86,1),(87,1),(136,1)}
       114:{1,3,5,6}:{(87,1),(91,1),(99,1),(134,1),(137,1),(138,1),(140,1),(141,1),(175,1)}
       115:{3,4,7}:{(88,1),(89,1),(94,1),(135,1),(139,1),(150,1),(195,1)}
       116:{3,6}:{(89,1),(90,1)}
       117:{1,2,5,6}:{(90,1),(91,1),(92,1),(103,1),(140,1),(142,1),(152,1),(173,1),(178,1)}
       118:{1,4,5,6}:{(91,1),(93,1),(104,1),(138,1),(141,1)}
       119:{1,4,6}:{(94,1),(95,1),(139,1),(142,1)}
       120:{2,5}:{(96,1),(100,1)}
       121:{2,4,7}:{(96,1),(97,1),(101,1),(143,1)}
       122:{2,3,6,7}:{(97,1),(98,1),(102,1),(136,1),(144,1),(145,1),(201,1)}
       123:{1,2,5,7}:{(98,1),(99,1),(137,1),(145,1),(146,1),(151,1),(202,1)}
       124:{1,4,7}:{(99,1),(138,1),(147,1),(150,1)}
       125:{3,5,7}:{(100,1),(101,1),(105,1),(143,1),(148,1)}
       126:{3,4,6,7}:{(101,1),(102,1),(106,1),(139,1),(144,1),(148,1),(149,1),(150,1),(180,1),(183,1),(201,1)}
       127:{3,5,7}:{(102,1),(103,1),(140,1),(150,1)}
       128:{3,5,7}:{(104,1),(107,1),(141,1),(147,1),(151,1)}
       129:{1,4,6}:{(105,1),(148,1),(152,1),(183,1)}
       130:{1,5,7}:{(106,1),(142,1),(149,1),(152,1)}
       131:{2,6,7}:{(107,1),(151,1)}
       132:{2,3,7}:{(108,1),(109,1),(153,1),(166,1)}
       133:{1,2,4,6}:{(109,1),(110,1),(113,1),(153,1),(154,1),(156,1),(184,1)}
       134:{1,3,5}:{(110,1),(154,1),(155,1),(160,1),(185,1),(206,1)}
       135:{2,4,7}:{(111,1),(112,1),(115,1),(156,1),(184,1)}
       136:{2,3,6}:{(112,1),(113,1),(116,1),(156,1),(163,1)}
       137:{1,2,5,6}:{(113,1),(114,1),(123,1),(154,1),(157,1),(158,1),(162,1),(206,1),(207,1)}
       138:{1,4,6}:{(114,1),(124,1),(155,1),(159,1),(161,1)}
       139:{3,4,6}:{(115,1),(116,1),(119,1),(156,1),(160,1),(161,1)}
       140:{3,5,6}:{(116,1),(117,1),(127,1),(160,1),(161,1)}
       141:{3,5,6}:{(118,1),(128,1),(159,1),(162,1)}
       142:{1,5}:{(119,1),(160,1)}
       143:{2,5,7}:{(120,1),(121,1),(125,1),(163,1)}
       144:{2,4,6,7}:{(121,1),(122,1),(126,1),(156,1),(163,1),(164,1),(165,1),(191,1)}
       145:{2,3,5,7}:{(122,1),(123,1),(127,1),(157,1),(164,1),(165,1),(166,1),(192,1)}
       146:{1,2,4,7}:{(123,1),(124,1),(158,1),(165,1),(166,1),(167,1),(193,1),(194,1)}
       147:{3,4,7}:{(124,1),(128,1),(159,1),(166,1),(167,1)}
       148:{3,6}:{(125,1),(129,1),(163,1)}
       149:{3,5,7}:{(126,1),(130,1),(160,1),(164,1),(168,1),(169,1)}
       150:{4,7}:{(127,1),(161,1)}
       151:{2,5,7}:{(128,1),(131,1),(162,1),(167,1)}
       152:{1,5,6}:{(129,1),(130,1),(168,1),(207,1)}
       153:{2,3,6}:{(132,1),(133,1),(170,1),(175,1)}
       154:{1,2,5}:{(133,1),(134,1),(170,1),(173,1)}
       155:{1,4,5}:{(134,1),(138,1),(172,1),(177,1)}
       156:{2,4,6}:{(135,1),(136,1),(139,1),(173,1)}
       157:{2,3,5,6}:{(136,1),(137,1),(140,1),(145,1),(170,1),(173,1),(174,1),(175,1),(178,1),(198,1),(201,1)}
       158:{1,2,4,6}:{(137,1),(138,1),(146,1),(171,1),(174,1),(175,1),(176,1),(199,1),(200,1)}
       159:{3,4,6}:{(138,1),(141,1),(147,1),(172,1),(175,1),(176,1)}
       160:{3,5}:{(139,1),(142,1),(173,1),(177,1)}
       161:{4,6}:{(140,1),(150,1),(177,1)}
       162:{2,5,6}:{(141,1),(151,1),(176,1)}
       163:{2,6}:{(143,1),(148,1)}
       164:{2,5,7}:{(144,1),(149,1),(173,1),(178,1)}
       165:{2,4,7}:{(145,1),(150,1),(174,1),(180,1)}
       166:{3,7}:{(146,1),(175,1)}
       167:{2,4,7}:{(147,1),(151,1),(176,1),(182,1)}
       168:{3,5,6}:{(148,1),(149,1),(152,1),(178,1),(183,1),(201,1)}
       169:{4,5,7}:{(149,1),(150,1),(177,1),(183,1)}
       170:{2,3,5}:{(153,1),(154,1),(184,1),(185,1)}
       171:{1,2,4,5}:{(154,1),(155,1),(158,1),(184,1),(185,1),(186,1),(187,1),(203,1),(205,1),(206,1)}
       172:{3,4,5}:{(155,1),(159,1),(185,1),(186,1)}
       173:{2,5}:{(156,1),(160,1)}
       174:{2,4,6}:{(157,1),(161,1),(165,1),(184,1),(187,1),(188,1)}
       175:{3,6}:{(158,1),(166,1),(185,1)}
       176:{2,4,6}:{(159,1),(162,1),(167,1),(186,1),(190,1)}
       177:{4,5}:{(160,1),(161,1)}
       178:{2,5,6}:{(163,1),(164,1),(168,1),(191,1)}
       179:{2,4,5,7}:{(164,1),(165,1),(169,1),(187,1),(191,1),(192,1)}
       180:{3,4,7}:{(165,1),(166,1),(188,1),(192,1),(193,1)}
       181:{1,3,7}:{(166,1),(189,1),(193,1),(194,1)}
       182:{2,3,7}:{(166,1),(167,1),(190,1),(194,1)}
       183:{4,6}:{(168,1),(169,1)}
       184:{2,4}:{(170,1),(195,1)}
       185:{3,5}:{(171,1),(175,1),(195,1)}
       186:{2,4,5}:{(172,1),(176,1),(197,1)}
       187:{2,4,5}:{(173,1),(174,1),(177,1),(198,1)}
       188:{3,4,6}:{(174,1),(175,1),(180,1),(195,1),(198,1),(199,1),(201,1)}
       189:{1,3,6}:{(175,1),(181,1),(196,1),(199,1),(200,1)}
       190:{2,3,6}:{(175,1),(176,1),(182,1),(197,1),(200,1)}
       191:{2,4,6}:{(178,1),(179,1),(183,1),(201,1)}
       192:{3,5,7}:{(179,1),(180,1),(198,1),(201,1),(202,1)}
       193:{1,4,7}:{(180,1),(181,1),(199,1),(202,1)}
       194:{1,2,7}:{(181,1),(182,1),(200,1)}
       195:{3,4}:{(184,1),(185,1),(203,1)}
       196:{1,3,5}:{(185,1),(189,1),(203,1),(205,1),(206,1),(209,1)}
       197:{2,3,5}:{(185,1),(186,1),(190,1),(204,1),(205,1)}
       198:{3,5}:{(187,1),(188,1),(206,1)}
       199:{1,4,6}:{(188,1),(189,1),(193,1),(203,1),(206,1),(207,1)}
       200:{1,2,6}:{(189,1),(190,1),(194,1),(205,1)}
       201:{3,6}:{(191,1),(192,1),(207,1)}
       202:{1,5,7}:{(192,1),(193,1),(206,1),(207,1)}
       203:{1,4}:{(195,1),(196,1)}
       204:{2,3,4}:{(195,1),(197,1),(208,1)}
       205:{1,2,5}:{(196,1),(197,1),(200,1),(208,1)}
       206:{1,5}:{(198,1),(199,1)}
       207:{1,6}:{(201,1),(202,1)}
       208:{1,2,4}:{(203,1),(204,1),(205,1),(209,1)}
       209:{1,3}:{(208,1)}

 658 :   0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(25,1),(29,1),(31,1),(52,1),(58,1),(79,1),(86,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(38,1),(69,1),(96,1),(102,1)}
         2:{1,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(74,1),(101,1)}
         3:{1,3,5,6}:{(2,1),(8,1),(9,1),(27,1),(29,1)}
         4:{2,3,6,7}:{(1,1),(10,1),(29,1),(111,1),(115,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(114,1)}
         6:{1,4,5,7}:{(2,1),(9,1),(12,1),(79,1),(87,1)}
         7:{1,3,5,6,7}:{(3,1),(13,1),(14,1),(35,1),(37,1),(63,1),(123,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(40,1),(74,1)}
         9:{1,4,6}:{(3,1),(6,1),(18,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(125,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(45,1),(47,1),(74,1),(96,1),(103,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(49,1),(81,1),(83,1),(112,1)}
        14:{1,4,6,7}:{(7,1),(9,1),(22,1),(25,1),(79,1),(131,1)}
        15:{1,4,5,6}:{(9,1),(22,1),(27,1)}
        16:{2,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(27,1),(29,1),(30,1)}
        19:{2,4,7}:{(10,1),(28,1),(31,1),(132,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(111,1),(116,1)}
        21:{2,4,5,7}:{(12,1),(30,1),(33,1),(49,1),(80,1),(88,1)}
        22:{1,4,5,7}:{(14,1),(15,1),(35,1),(136,1)}
        23:{2,3,5,6,7}:{(13,1),(16,1),(36,1),(37,1),(64,1),(66,1),(98,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(36,1),(37,1),(38,1),(67,1),(69,1),(96,1),(121,1)}
        25:{3,4,6,7}:{(14,1),(18,1),(35,1),(37,1),(38,1),(62,1),(135,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(39,1),(40,1),(41,1),(65,1),(71,1),(72,1),(73,1),(74,1),(97,1),(103,1),(121,1),(136,1),(139,1)}
        27:{3,5,6}:{(15,1),(18,1),(35,1),(40,1)}
        28:{2,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{2,4,6}:{(18,1),(21,1),(40,1),(44,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(45,1),(126,1)}
        32:{1,3,5,7}:{(20,1),(43,1),(45,1),(47,1),(74,1),(77,1),(105,1)}
        33:{2,3,5,7}:{(20,1),(21,1),(44,1),(46,1),(47,1),(75,1)}
        34:{1,2,4,5,7}:{(22,1),(24,1),(26,1),(48,1),(49,1),(50,1),(79,1),(80,1),(81,1),(83,1)}
        35:{3,5,7}:{(22,1),(25,1),(27,1),(49,1),(138,1)}
        36:{2,4,6,7}:{(23,1),(28,1),(50,1),(51,1),(80,1),(109,1)}
        37:{3,6,7}:{(24,1),(29,1),(48,1),(111,1),(129,1)}
        38:{2,4,6,7}:{(25,1),(30,1),(49,1),(53,1),(80,1),(137,1)}
        39:{3,5,6}:{(26,1),(29,1),(48,1),(54,1),(57,1),(116,1),(129,1),(138,1)}
        40:{2,5,6}:{(27,1),(30,1),(49,1)}
        41:{2,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(58,1)}
        43:{1,3,6}:{(29,1),(32,1),(58,1),(60,1)}
        44:{2,3,6}:{(29,1),(30,1),(33,1),(60,1)}
        45:{1,4,7}:{(31,1),(32,1),(58,1),(117,1)}
        46:{2,3,4,7}:{(31,1),(33,1),(59,1),(61,1),(80,1),(111,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(37,1),(39,1),(62,1)}
        49:{2,5,7}:{(35,1),(38,1),(40,1),(139,1)}
        50:{2,4,5,7}:{(36,1),(41,1),(65,1),(66,1)}
        51:{3,4,6,7}:{(36,1),(37,1),(42,1),(62,1),(66,1),(67,1),(93,1)}
        52:{1,3,6,7}:{(37,1),(43,1),(63,1),(67,1),(69,1),(118,1)}
        53:{2,3,6,7}:{(37,1),(38,1),(44,1),(64,1),(69,1),(133,1)}
        54:{3,4,6}:{(39,1),(62,1),(70,1),(71,1),(72,1),(104,1),(126,1)}
        55:{1,3,5,6}:{(39,1),(43,1),(63,1),(71,1),(73,1),(74,1),(97,1),(101,1),(104,1),(105,1),(118,1)}
        56:{2,3,5,6}:{(39,1),(40,1),(44,1),(64,1),(72,1),(73,1),(75,1),(104,1),(125,1),(133,1),(139,1)}
        57:{3,5}:{(41,1),(42,1),(74,1)}
        58:{1,4,6}:{(42,1),(43,1),(45,1),(74,1)}
        59:{2,3,4,6}:{(42,1),(44,1),(46,1),(72,1),(75,1),(76,1),(104,1),(126,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(54,1),(79,1),(80,1),(111,1)}
        63:{1,3,5,7}:{(48,1),(52,1),(55,1),(79,1),(81,1),(83,1),(111,1)}
        64:{2,3,5,7}:{(48,1),(49,1),(53,1),(56,1),(80,1),(81,1),(111,1)}
        65:{2,4,5,6}:{(50,1),(82,1),(109,1)}
        66:{3,5,7}:{(50,1),(51,1),(57,1),(82,1),(83,1)}
        67:{1,4,6,7}:{(51,1),(52,1),(58,1),(79,1),(83,1),(108,1)}
        68:{2,3,4,6,7}:{(51,1),(53,1),(59,1),(80,1),(84,1),(85,1),(109,1),(111,1),(129,1),(130,1),(137,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(60,1),(81,1),(127,1)}
        70:{3,4,5}:{(54,1),(57,1),(87,1),(88,1),(116,1),(138,1)}
        71:{1,4,6}:{(54,1),(55,1),(79,1),(87,1),(117,1)}
        72:{2,4,6}:{(54,1),(56,1),(80,1),(88,1),(132,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(60,1),(81,1),(89,1),(90,1),(114,1),(127,1)}
        74:{1,5}:{(57,1),(58,1)}
        75:{2,3,5}:{(57,1),(59,1),(88,1),(90,1),(116,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{1,3,7}:{(61,1),(91,1),(111,1)}
        78:{3,4,5,7}:{(62,1),(66,1),(70,1),(93,1),(94,1),(95,1),(122,1)}
        79:{1,4,7}:{(62,1),(63,1),(71,1)}
        80:{2,4,7}:{(62,1),(64,1),(72,1)}
        81:{1,2,5,7}:{(63,1),(64,1),(69,1),(73,1),(96,1)}
        82:{3,5,6}:{(65,1),(66,1),(93,1),(97,1)}
        83:{1,5,7}:{(66,1),(67,1),(74,1),(97,1)}
        84:{2,3,5,7}:{(66,1),(68,1),(75,1),(95,1),(98,1),(99,1),(122,1),(139,1)}
        85:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(96,1),(99,1),(100,1),(121,1),(124,1)}
        86:{1,3,4,6}:{(71,1),(92,1),(101,1),(102,1),(104,1),(118,1),(126,1),(135,1)}
        87:{1,4,5}:{(70,1),(71,1),(74,1),(101,1)}
        88:{2,4,5}:{(70,1),(72,1),(75,1),(139,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(73,1),(96,1),(103,1),(104,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{1,3,6}:{(76,1),(77,1),(104,1),(105,1)}
        92:{1,3,4,7}:{(79,1),(86,1),(106,1),(107,1),(111,1),(130,1)}
        93:{3,4,6}:{(78,1),(82,1),(108,1),(109,1),(129,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(106,1),(108,1)}
        95:{2,4,5,7}:{(78,1),(80,1),(84,1),(88,1),(109,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(89,1),(111,1)}
        97:{1,5,6}:{(82,1),(83,1),(108,1)}
        98:{2,3,5,6}:{(82,1),(84,1),(109,1),(112,1),(129,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(85,1),(90,1),(112,1),(113,1)}
       100:{1,3,6,7}:{(85,1),(91,1),(111,1),(113,1),(129,1)}
       101:{1,3,5}:{(86,1),(87,1),(114,1),(116,1),(138,1)}
       102:{1,2,4,6}:{(86,1),(107,1),(114,1),(115,1),(127,1),(132,1),(137,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(89,1),(90,1),(114,1),(116,1),(117,1),(132,1)}
       104:{3,6}:{(89,1),(111,1),(116,1)}
       105:{1,3,5}:{(90,1),(91,1),(116,1),(117,1)}
       106:{1,3,5,7}:{(92,1),(94,1),(101,1),(118,1),(119,1),(122,1)}
       107:{1,2,4,7}:{(92,1),(102,1),(119,1),(120,1),(134,1)}
       108:{1,4,6}:{(93,1),(94,1),(97,1),(118,1)}
       109:{2,4,6}:{(93,1),(95,1),(98,1)}
       110:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(103,1),(119,1),(121,1),(122,1),(124,1),(134,1),(136,1),(139,1)}
       111:{3,7}:{(96,1),(104,1)}
       112:{1,2,5,6}:{(97,1),(98,1),(99,1),(121,1),(123,1),(139,1)}
       113:{1,3,5,7}:{(99,1),(100,1),(105,1),(122,1),(123,1),(124,1)}
       114:{1,2,5}:{(101,1),(102,1),(125,1),(139,1)}
       115:{2,3,6}:{(102,1),(104,1),(120,1),(125,1)}
       116:{3,5}:{(103,1),(104,1),(126,1)}
       117:{1,4}:{(105,1),(126,1)}
       118:{1,3,6}:{(106,1),(108,1),(127,1),(129,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(114,1),(127,1),(128,1)}
       120:{2,3,7}:{(107,1),(111,1),(115,1)}
       121:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1),(131,1),(137,1)}
       122:{3,5,7}:{(110,1),(111,1),(116,1),(129,1),(130,1),(138,1)}
       123:{1,3,5,6}:{(112,1),(113,1),(129,1),(131,1),(138,1)}
       124:{1,4,7}:{(113,1),(117,1),(130,1),(131,1)}
       125:{2,3,5}:{(114,1),(115,1),(116,1),(132,1)}
       126:{3,4}:{(116,1),(117,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{2,3,5,7}:{(119,1),(120,1),(122,1),(125,1),(133,1),(134,1),(139,1)}
       129:{3,6}:{(121,1),(122,1)}
       130:{3,4,7}:{(122,1),(124,1),(126,1),(134,1),(135,1)}
       131:{1,4,6}:{(123,1),(124,1),(135,1),(136,1)}
       132:{2,4}:{(125,1),(126,1)}
       133:{2,3,6}:{(127,1),(128,1),(129,1),(137,1)}
       134:{2,4,7}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,4,6}:{(129,1),(130,1),(131,1),(137,1),(138,1)}
       136:{1,4,5}:{(131,1),(138,1)}
       137:{2,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

 659 :   0:{1,4,6,7}:{(1,1),(2,1),(9,1),(10,1)}
         1:{3,6,7}:{(0,1),(3,1),(4,1),(16,1)}
         2:{1,5,7}:{(0,1),(4,1),(5,1),(30,1)}
         3:{2,6,7}:{(1,1),(7,1),(26,1)}
         4:{3,5,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(20,1)}
         5:{1,5,6}:{(2,1),(8,1),(10,1),(39,1),(42,1)}
         6:{1,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(21,1),(23,1),(42,1)}
         7:{2,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{3,5,6}:{(4,1),(5,1),(12,1),(14,1),(16,1),(29,1),(32,1)}
         9:{4,7}:{(4,1),(14,1)}
        10:{1,4,6}:{(5,1),(6,1),(14,1),(16,1)}
        11:{3,5,7}:{(6,1),(15,1),(16,1),(18,1),(32,1)}
        12:{2,5,6}:{(7,1),(8,1),(19,1),(26,1),(43,1)}
        13:{2,4,7}:{(7,1),(9,1),(19,1),(20,1)}
        14:{4,6}:{(8,1),(9,1),(21,1)}
        15:{3,4,7}:{(9,1),(11,1),(20,1),(22,1),(23,1),(24,1),(45,1)}
        16:{3,6}:{(10,1),(11,1),(26,1)}
        17:{1,3,5,7}:{(11,1),(23,1),(25,1),(27,1),(42,1),(45,1),(63,1)}
        18:{2,5,7}:{(11,1),(24,1),(26,1),(43,1)}
        19:{2,4,6}:{(12,1),(13,1),(14,1),(28,1),(29,1)}
        20:{3,7}:{(13,1),(29,1),(30,1)}
        21:{4,5}:{(14,1),(32,1),(73,1)}
        22:{3,4,6}:{(14,1),(15,1),(16,1),(29,1),(32,1),(33,1),(34,1),(48,1),(54,1),(73,1)}
        23:{1,4,7}:{(15,1),(17,1),(30,1),(33,1),(73,1)}
        24:{2,4,7}:{(15,1),(18,1),(31,1),(34,1)}
        25:{1,3,6}:{(16,1),(17,1),(33,1),(36,1),(54,1),(68,1)}
        26:{2,6}:{(16,1),(18,1)}
        27:{1,2,5,7}:{(17,1),(18,1),(35,1),(36,1),(37,1),(53,1),(72,1)}
        28:{2,4,5}:{(19,1),(21,1),(38,1),(43,1),(59,1)}
        29:{3,6}:{(19,1),(20,1),(38,1),(39,1)}
        30:{1,7}:{(20,1),(39,1)}
        31:{2,3,7}:{(20,1),(24,1),(40,1),(41,1),(45,1)}
        32:{3,5}:{(21,1),(22,1),(42,1),(43,1)}
        33:{1,4,6}:{(22,1),(23,1),(25,1),(39,1),(42,1),(58,1)}
        34:{2,4,6}:{(22,1),(24,1),(26,1),(40,1),(43,1),(59,1)}
        35:{1,2,4,7}:{(23,1),(24,1),(27,1),(41,1),(44,1),(45,1),(47,1),(62,1)}
        36:{1,2,6}:{(25,1),(26,1),(27,1),(46,1),(78,1),(82,1)}
        37:{2,3,5,7}:{(27,1),(45,1),(46,1),(47,1),(63,1),(65,1),(66,1)}
        38:{3,5}:{(28,1),(29,1),(48,1),(49,1)}
        39:{1,6}:{(29,1),(30,1),(49,1)}
        40:{2,3,6}:{(29,1),(31,1),(34,1),(50,1),(51,1),(54,1)}
        41:{1,2,7}:{(30,1),(31,1),(51,1),(52,1),(104,1)}
        42:{1,5}:{(32,1),(33,1)}
        43:{2,5}:{(32,1),(34,1)}
        44:{1,2,4,6}:{(33,1),(34,1),(35,1),(36,1),(51,1),(53,1),(54,1),(56,1),(69,1),(71,1),(73,1)}
        45:{3,7}:{(35,1),(54,1)}
        46:{2,3,6}:{(36,1),(37,1),(54,1),(56,1),(75,1),(87,1)}
        47:{2,4,7}:{(37,1),(55,1),(56,1),(73,1),(104,1)}
        48:{3,4}:{(38,1),(58,1),(59,1),(79,1)}
        49:{1,5}:{(38,1),(39,1),(58,1)}
        50:{2,3,5}:{(38,1),(40,1),(43,1),(59,1),(60,1),(63,1),(79,1)}
        51:{1,2,6}:{(39,1),(40,1),(41,1),(60,1),(61,1),(102,1)}
        52:{1,3,7}:{(41,1),(45,1),(61,1),(62,1),(103,1)}
        53:{1,2,5}:{(42,1),(43,1),(44,1),(63,1),(66,1),(81,1)}
        54:{3,6}:{(44,1),(45,1),(63,1),(79,1)}
        55:{3,4,7}:{(45,1),(47,1),(62,1),(64,1),(65,1),(98,1),(103,1)}
        56:{2,4,6}:{(46,1),(47,1),(64,1),(66,1),(94,1),(102,1)}
        57:{2,4,5,7}:{(47,1),(65,1),(66,1),(67,1),(83,1),(86,1),(98,1)}
        58:{1,4}:{(48,1),(49,1),(68,1)}
        59:{2,4}:{(48,1),(50,1),(73,1)}
        60:{1,2,5}:{(49,1),(50,1),(51,1),(69,1),(70,1),(99,1)}
        61:{1,3,6}:{(51,1),(52,1),(54,1),(70,1),(71,1),(100,1)}
        62:{1,4,7}:{(52,1),(55,1),(71,1),(72,1)}
        63:{3,5}:{(53,1),(54,1),(73,1)}
        64:{3,4,6}:{(54,1),(55,1),(56,1),(71,1),(73,1),(74,1),(75,1),(88,1),(92,1),(100,1)}
        65:{3,5,7}:{(55,1),(57,1),(72,1),(74,1),(75,1)}
        66:{2,5}:{(56,1),(74,1)}
        67:{2,4,6}:{(57,1),(75,1),(76,1),(92,1)}
        68:{1,3}:{(58,1),(78,1),(79,1)}
        69:{1,2,4}:{(58,1),(59,1),(60,1),(78,1),(79,1),(80,1),(94,1)}
        70:{1,3,5}:{(60,1),(61,1),(63,1),(79,1),(80,1),(81,1),(95,1)}
        71:{1,4,6}:{(61,1),(62,1),(64,1),(80,1),(81,1),(82,1)}
        72:{1,5,7}:{(62,1),(65,1),(81,1),(82,1)}
        73:{4}:{(63,1)}
        74:{3,5}:{(64,1),(66,1),(81,1),(83,1)}
        75:{3,6}:{(65,1),(67,1),(82,1)}
        76:{2,5,6}:{(66,1),(67,1),(84,1),(86,1),(102,1)}
        77:{2,4,6,7}:{(67,1),(85,1),(86,1),(98,1)}
        78:{1,2}:{(68,1),(87,1)}
        79:{3}:{(69,1)}
        80:{1,4}:{(70,1),(73,1),(88,1)}
        81:{1,5}:{(71,1),(74,1)}
        82:{1,6}:{(72,1),(75,1)}
        83:{4,5}:{(73,1),(74,1),(92,1)}
        84:{3,5,6}:{(74,1),(75,1),(76,1),(90,1),(92,1),(93,1),(100,1)}
        85:{3,6,7}:{(75,1),(77,1),(91,1),(93,1)}
        86:{2,5,7}:{(76,1),(77,1),(93,1),(104,1)}
        87:{2,3}:{(78,1),(79,1),(94,1)}
        88:{3,4}:{(79,1),(80,1),(94,1),(95,1)}
        89:{1,4,5}:{(80,1),(81,1),(83,1),(95,1),(96,1)}
        90:{1,5,6}:{(81,1),(82,1),(84,1),(96,1),(97,1)}
        91:{1,6,7}:{(82,1),(85,1),(97,1)}
        92:{4,6}:{(83,1),(84,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(86,1),(97,1),(98,1),(103,1)}
        94:{2,4}:{(87,1),(88,1),(99,1)}
        95:{3,5}:{(88,1),(89,1),(99,1),(100,1)}
        96:{1,4,6}:{(89,1),(90,1),(92,1),(100,1),(101,1)}
        97:{1,5,7}:{(90,1),(91,1),(93,1),(101,1)}
        98:{4,7}:{(92,1),(93,1)}
        99:{2,5}:{(94,1),(95,1),(102,1)}
       100:{3,6}:{(95,1),(96,1),(102,1),(103,1)}
       101:{1,4,7}:{(96,1),(97,1),(98,1),(103,1)}
       102:{2,6}:{(99,1),(100,1),(104,1)}
       103:{3,7}:{(100,1),(101,1),(104,1)}
       104:{2,7}:{(102,1),(103,1)}

 660 :   0:{2,3,4,6}:{(3,1),(4,1),(5,1),(7,1),(31,1),(34,1),(64,1),(76,1),(115,1)}
         1:{2,3,5,6}:{(4,1),(6,1),(7,1),(8,1),(9,1),(31,1),(34,1),(73,1),(120,1)}
         2:{2,4,5,6}:{(7,1),(9,1),(10,1),(73,1),(122,1)}
         3:{1,2,4,6}:{(0,1),(11,1),(12,1),(13,1),(43,1),(47,1),(91,1)}
         4:{2,3,5}:{(0,1),(12,1),(14,1),(45,1),(99,1),(138,1)}
         5:{2,3,4,7}:{(0,1),(13,1),(15,1),(20,1),(57,1),(90,1),(102,1),(206,1)}
         6:{1,2,5,6}:{(1,1),(12,1),(16,1),(17,1),(18,1),(22,1),(47,1),(99,1),(144,1)}
         7:{2,4,6}:{(1,1),(14,1),(19,1),(20,1),(142,1)}
         8:{2,3,5,7}:{(1,1),(18,1),(20,1),(21,1),(23,1),(57,1),(61,1),(108,1)}
         9:{3,5,6}:{(2,1),(19,1),(22,1),(23,1)}
        10:{2,4,5,7}:{(2,1),(20,1),(23,1),(24,1),(61,1),(110,1)}
        11:{1,3,6}:{(3,1),(25,1),(26,1),(34,1)}
        12:{1,2,5}:{(3,1),(4,1),(25,1),(116,1)}
        13:{1,2,4,7}:{(3,1),(5,1),(26,1),(28,1),(65,1),(208,1)}
        14:{2,4,5}:{(4,1),(7,1),(29,1),(157,1)}
        15:{2,3,5,7}:{(4,1),(5,1),(28,1),(30,1),(31,1),(69,1),(123,1),(192,1),(203,1)}
        16:{1,3,5,6}:{(6,1),(25,1),(32,1),(33,1),(34,1),(66,1),(74,1),(116,1),(120,1),(124,1),(125,1)}
        17:{1,2,4,6}:{(6,1),(7,1),(27,1),(32,1),(34,1),(35,1),(37,1),(76,1),(79,1)}
        18:{1,2,5,7}:{(6,1),(8,1),(33,1),(35,1),(36,1),(40,1),(123,1)}
        19:{3,4,6}:{(7,1),(9,1),(29,1),(34,1),(37,1),(38,1)}
        20:{2,4,7}:{(7,1),(8,1),(38,1),(131,1)}
        21:{2,3,6,7}:{(8,1),(31,1),(36,1),(39,1),(41,1),(82,1),(192,1)}
        22:{1,5,6}:{(9,1),(37,1),(40,1)}
        23:{3,5,7}:{(9,1),(10,1),(38,1),(40,1),(41,1)}
        24:{2,4,6,7}:{(10,1),(41,1),(42,1),(87,1)}
        25:{1,3,5}:{(11,1),(12,1),(43,1),(45,1)}
        26:{1,3,7}:{(11,1),(13,1),(57,1),(209,1)}
        27:{1,2,4,5}:{(12,1),(14,1),(17,1),(43,1),(45,1),(48,1),(51,1),(89,1),(92,1),(99,1)}
        28:{1,2,5,7}:{(12,1),(13,1),(15,1),(44,1),(47,1),(200,1),(207,1)}
        29:{3,4,5}:{(14,1),(19,1),(45,1),(48,1)}
        30:{2,4,5,7}:{(14,1),(15,1),(20,1),(49,1),(50,1),(61,1),(180,1),(195,1)}
        31:{2,3,6}:{(15,1),(47,1),(50,1),(95,1),(144,1)}
        32:{1,4,6}:{(16,1),(43,1),(51,1),(52,1),(53,1),(142,1)}
        33:{1,3,5,7}:{(16,1),(18,1),(53,1),(54,1),(57,1),(100,1),(104,1),(108,1)}
        34:{3,6}:{(17,1),(45,1),(57,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(20,1),(53,1),(57,1),(59,1),(102,1),(105,1)}
        36:{1,2,6,7}:{(18,1),(21,1),(47,1),(54,1),(62,1),(144,1),(200,1)}
        37:{1,4,6}:{(19,1),(22,1),(48,1),(55,1),(59,1)}
        38:{3,4,7}:{(19,1),(20,1),(23,1),(57,1),(59,1)}
        39:{2,4,6,7}:{(20,1),(21,1),(50,1),(60,1),(61,1),(152,1),(180,1)}
        40:{1,5,7}:{(22,1),(23,1),(59,1),(62,1)}
        41:{3,6,7}:{(23,1),(24,1),(62,1)}
        42:{2,5,6,7}:{(24,1),(61,1),(63,1),(152,1)}
        43:{1,4}:{(25,1),(64,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(28,1),(65,1),(66,1),(69,1),(116,1),(190,1),(191,1),(202,1)}
        45:{3,5}:{(27,1),(34,1),(64,1)}
        46:{1,2,4,5,7}:{(27,1),(28,1),(30,1),(35,1),(65,1),(69,1),(70,1),(71,1),(75,1),(83,1),(114,1),(116,1),(117,1),(123,1),(131,1),(156,1),(157,1),(164,1),(165,1),(183,1),(190,1)}
        47:{1,2,6}:{(28,1),(31,1),(66,1)}
        48:{1,4,5}:{(29,1),(37,1),(67,1)}
        49:{3,4,5,7}:{(29,1),(30,1),(38,1),(69,1),(71,1),(72,1),(85,1),(131,1),(157,1),(166,1),(184,1)}
        50:{2,4,6}:{(30,1),(31,1),(72,1),(73,1)}
        51:{1,4,5}:{(32,1),(74,1),(116,1),(157,1)}
        52:{3,4,6}:{(32,1),(34,1),(64,1),(74,1),(76,1),(77,1),(124,1)}
        53:{1,4,7}:{(32,1),(33,1),(77,1),(131,1)}
        54:{1,3,6,7}:{(33,1),(36,1),(66,1),(78,1),(82,1),(124,1),(191,1)}
        55:{1,3,6}:{(34,1),(37,1),(67,1),(79,1),(80,1)}
        56:{2,3,6}:{(34,1),(68,1),(76,1),(79,1),(81,1)}
        57:{3,7}:{(34,1),(35,1)}
        58:{1,2,4,6,7}:{(35,1),(36,1),(39,1),(70,1),(78,1),(82,1),(83,1),(84,1),(126,1),(128,1),(131,1),(165,1)}
        59:{1,4,7}:{(37,1),(38,1),(40,1),(80,1)}
        60:{3,4,6,7}:{(38,1),(39,1),(41,1),(72,1),(82,1),(84,1),(85,1),(87,1),(131,1),(133,1),(166,1)}
        61:{2,5,7}:{(39,1),(73,1),(85,1)}
        62:{1,6,7}:{(40,1),(41,1)}
        63:{3,5,6,7}:{(41,1),(42,1),(85,1),(86,1),(87,1),(133,1)}
        64:{3,4}:{(43,1),(45,1),(89,1)}
        65:{1,4,7}:{(43,1),(44,1),(90,1),(91,1),(205,1)}
        66:{1,3,6}:{(44,1),(47,1),(91,1),(95,1),(199,1)}
        67:{1,3,5}:{(45,1),(48,1),(55,1),(88,1),(92,1)}
        68:{2,3,5}:{(45,1),(56,1),(89,1),(92,1),(99,1),(134,1)}
        69:{3,5,7}:{(45,1),(46,1),(57,1),(90,1),(95,1),(138,1),(179,1),(194,1)}
        70:{1,2,4,6}:{(46,1),(47,1),(50,1),(91,1),(95,1),(96,1),(97,1),(101,1),(137,1),(139,1),(142,1),(144,1),(177,1),(199,1)}
        71:{1,4,5,7}:{(48,1),(49,1),(59,1),(93,1),(97,1),(109,1),(149,1),(171,1)}
        72:{3,4,6}:{(49,1),(50,1),(95,1),(97,1),(98,1),(142,1)}
        73:{2,5,6}:{(50,1),(61,1),(98,1)}
        74:{3,5}:{(51,1),(52,1),(99,1)}
        75:{1,4,5,7}:{(51,1),(53,1),(100,1),(101,1),(104,1),(147,1)}
        76:{2,4,6}:{(52,1),(56,1),(89,1),(99,1),(102,1),(144,1)}
        77:{3,4,7}:{(52,1),(53,1),(57,1),(100,1),(102,1)}
        78:{1,4,6,7}:{(53,1),(54,1),(91,1),(101,1),(103,1),(104,1),(181,1),(199,1)}
        79:{1,2,6}:{(55,1),(56,1),(92,1),(105,1)}
        80:{1,3,7}:{(55,1),(57,1),(59,1),(105,1)}
        81:{2,3,7}:{(56,1),(57,1),(102,1),(105,1)}
        82:{3,6,7}:{(57,1),(58,1),(95,1),(108,1),(179,1)}
        83:{1,2,5,7}:{(58,1),(61,1),(96,1),(104,1),(108,1),(109,1),(146,1)}
        84:{1,4,6,7}:{(59,1),(60,1),(62,1),(97,1),(106,1),(109,1),(149,1)}
        85:{3,5,7}:{(60,1),(61,1),(98,1),(109,1),(110,1)}
        86:{1,5,6,7}:{(62,1),(63,1),(109,1),(111,1)}
        87:{4,6,7}:{(63,1),(110,1)}
        88:{1,3,4}:{(64,1),(67,1),(112,1)}
        89:{2,4}:{(64,1),(68,1)}
        90:{3,4,7}:{(64,1),(65,1),(69,1),(114,1),(115,1),(131,1),(201,1)}
        91:{1,4,6}:{(65,1),(66,1),(115,1),(116,1)}
        92:{1,2,5}:{(67,1),(68,1),(79,1),(112,1)}
        93:{1,3,5,7}:{(67,1),(69,1),(71,1),(80,1),(113,1),(117,1),(118,1),(155,1),(190,1)}
        94:{2,3,5,7}:{(68,1),(69,1),(81,1),(114,1),(117,1),(119,1),(123,1),(153,1),(156,1),(182,1)}
        95:{3,6}:{(69,1),(70,1)}
        96:{1,2,5,6}:{(70,1),(73,1),(83,1),(116,1),(120,1),(121,1),(125,1),(156,1),(162,1)}
        97:{1,4,6}:{(71,1),(72,1),(118,1),(121,1)}
        98:{3,5,6}:{(72,1),(73,1),(85,1),(121,1),(122,1)}
        99:{2,5}:{(74,1),(76,1)}
       100:{3,5,7}:{(74,1),(75,1),(77,1),(123,1),(124,1)}
       101:{1,4,6}:{(75,1),(124,1),(125,1),(163,1)}
       102:{2,4,7}:{(76,1),(77,1),(81,1),(123,1)}
       103:{3,4,6,7}:{(77,1),(78,1),(82,1),(115,1),(124,1),(126,1),(127,1),(131,1),(163,1),(167,1),(189,1)}
       104:{1,5,7}:{(78,1),(116,1),(125,1),(127,1)}
       105:{1,2,7}:{(79,1),(80,1),(81,1)}
       106:{1,3,6,7}:{(80,1),(82,1),(84,1),(118,1),(128,1),(129,1),(133,1)}
       107:{2,3,6,7}:{(81,1),(82,1),(119,1),(126,1),(128,1),(130,1),(189,1)}
       108:{3,5,7}:{(82,1),(83,1),(120,1),(131,1)}
       109:{1,5,7}:{(84,1),(85,1),(121,1)}
       110:{4,5,7}:{(85,1),(87,1),(122,1),(131,1)}
       111:{1,4,6,7}:{(86,1),(87,1),(132,1),(133,1)}
       112:{1,2,4}:{(88,1),(89,1),(92,1),(134,1)}
       113:{1,3,4,7}:{(88,1),(90,1),(93,1),(135,1),(136,1),(149,1),(179,1),(181,1)}
       114:{2,4,7}:{(89,1),(90,1),(94,1),(137,1),(193,1)}
       115:{3,4,6}:{(90,1),(91,1),(95,1),(137,1),(138,1),(142,1)}
       116:{1,5}:{(91,1),(138,1)}
       117:{1,2,5,7}:{(92,1),(93,1),(94,1),(105,1),(135,1),(139,1),(170,1)}
       118:{1,3,6}:{(93,1),(95,1),(97,1),(139,1),(199,1)}
       119:{2,3,6}:{(94,1),(95,1),(137,1),(139,1),(144,1)}
       120:{3,5,6}:{(95,1),(96,1),(108,1),(138,1),(142,1)}
       121:{1,5,6}:{(97,1),(98,1),(109,1)}
       122:{4,5,6}:{(98,1),(110,1),(142,1)}
       123:{2,5,7}:{(99,1),(100,1),(102,1),(144,1)}
       124:{3,6}:{(100,1),(101,1),(144,1)}
       125:{1,5,6}:{(101,1),(104,1),(145,1),(199,1)}
       126:{2,4,6,7}:{(102,1),(103,1),(107,1),(137,1),(144,1),(146,1),(150,1),(177,1)}
       127:{3,5,7}:{(103,1),(104,1),(138,1),(145,1),(146,1),(147,1)}
       128:{1,2,6,7}:{(105,1),(106,1),(107,1),(139,1),(148,1),(152,1),(199,1)}
       129:{1,3,5,7}:{(106,1),(108,1),(109,1),(140,1),(148,1),(149,1),(151,1),(179,1)}
       130:{2,3,5,7}:{(107,1),(108,1),(141,1),(146,1),(148,1),(150,1),(178,1),(179,1)}
       131:{4,7}:{(108,1),(142,1)}
       132:{1,4,5,7}:{(109,1),(110,1),(111,1),(143,1),(149,1),(151,1)}
       133:{3,6,7}:{(111,1),(151,1),(152,1)}
       134:{2,3}:{(112,1)}
       135:{1,2,4,7}:{(112,1),(113,1),(114,1),(117,1),(153,1),(154,1)}
       136:{1,3,4,6}:{(113,1),(115,1),(118,1),(154,1),(155,1),(159,1),(186,1),(188,1),(201,1)}
       137:{2,4,6}:{(114,1),(115,1),(119,1),(156,1)}
       138:{3,5}:{(115,1),(116,1),(156,1),(157,1)}
       139:{1,2,6}:{(117,1),(118,1),(119,1)}
       140:{1,3,5,6}:{(118,1),(120,1),(121,1),(129,1),(155,1),(158,1),(159,1),(161,1),(186,1)}
       141:{2,3,5,6}:{(119,1),(120,1),(130,1),(156,1),(158,1),(160,1),(162,1),(182,1),(185,1),(186,1),(189,1)}
       142:{4,6}:{(120,1),(131,1),(157,1)}
       143:{1,4,5,6}:{(121,1),(122,1),(132,1),(159,1),(161,1)}
       144:{2,6}:{(123,1),(124,1)}
       145:{3,5,6}:{(124,1),(125,1),(127,1),(162,1),(163,1),(189,1)}
       146:{2,5,7}:{(126,1),(127,1),(156,1),(162,1)}
       147:{4,5,7}:{(127,1),(131,1),(157,1),(163,1)}
       148:{1,2,5,7}:{(128,1),(129,1),(130,1),(158,1),(165,1),(168,1),(190,1)}
       149:{1,4,7}:{(129,1),(131,1),(159,1),(166,1)}
       150:{2,4,7}:{(130,1),(131,1),(160,1),(167,1)}
       151:{3,5,7}:{(132,1),(133,1),(161,1),(166,1),(168,1)}
       152:{2,6,7}:{(133,1),(168,1)}
       153:{2,3,7}:{(134,1),(135,1),(169,1),(179,1)}
       154:{1,2,4,6}:{(135,1),(136,1),(137,1),(139,1),(169,1),(170,1),(193,1)}
       155:{1,3,5}:{(136,1),(138,1),(170,1),(171,1),(194,1),(196,1)}
       156:{2,5}:{(137,1),(138,1)}
       157:{4,5}:{(138,1),(142,1)}
       158:{1,2,5,6}:{(139,1),(140,1),(141,1),(148,1),(170,1),(173,1),(176,1),(196,1),(199,1)}
       159:{1,4,6}:{(140,1),(142,1),(149,1),(171,1),(174,1)}
       160:{2,4,6}:{(141,1),(142,1),(150,1),(172,1),(175,1),(193,1)}
       161:{3,5,6}:{(143,1),(151,1),(174,1),(176,1)}
       162:{2,5,6}:{(144,1),(145,1),(146,1),(177,1)}
       163:{4,6}:{(145,1),(147,1)}
       164:{2,4,5,7}:{(146,1),(147,1),(150,1),(172,1),(177,1),(178,1)}
       165:{1,2,4,7}:{(148,1),(149,1),(150,1),(173,1),(179,1),(180,1),(181,1),(200,1)}
       166:{3,4,7}:{(149,1),(151,1),(174,1),(179,1),(180,1)}
       167:{3,4,7}:{(150,1),(175,1),(178,1),(179,1),(181,1)}
       168:{2,5,7}:{(151,1),(152,1),(176,1),(180,1)}
       169:{2,3,6}:{(153,1),(154,1),(182,1),(186,1)}
       170:{1,2,5}:{(154,1),(155,1),(156,1),(182,1)}
       171:{1,4,5}:{(155,1),(157,1),(159,1),(184,1)}
       172:{2,4,5}:{(156,1),(157,1),(160,1),(185,1)}
       173:{1,2,4,6}:{(158,1),(159,1),(160,1),(165,1),(183,1),(186,1),(187,1),(188,1),(204,1)}
       174:{3,4,6}:{(159,1),(161,1),(166,1),(184,1),(186,1),(187,1)}
       175:{3,4,6}:{(160,1),(167,1),(185,1),(186,1),(188,1),(189,1),(201,1)}
       176:{2,5,6}:{(161,1),(168,1),(187,1)}
       177:{2,4,6}:{(162,1),(163,1),(164,1),(189,1)}
       178:{3,5,7}:{(164,1),(167,1),(185,1),(189,1),(190,1)}
       179:{3,7}:{(165,1),(186,1)}
       180:{2,4,7}:{(166,1),(168,1),(187,1),(192,1)}
       181:{1,4,7}:{(167,1),(188,1),(190,1),(191,1)}
       182:{2,3,5}:{(169,1),(170,1),(193,1),(194,1)}
       183:{1,2,4,5}:{(170,1),(171,1),(172,1),(173,1),(193,1),(194,1),(195,1),(196,1),(205,1),(207,1)}
       184:{3,4,5}:{(171,1),(174,1),(194,1),(195,1)}
       185:{3,5}:{(172,1),(175,1),(196,1)}
       186:{3,6}:{(173,1),(179,1),(194,1)}
       187:{2,4,6}:{(174,1),(176,1),(180,1),(195,1),(198,1)}
       188:{1,4,6}:{(175,1),(181,1),(196,1),(197,1),(199,1),(205,1)}
       189:{3,6}:{(177,1),(178,1),(199,1)}
       190:{1,5,7}:{(178,1),(181,1),(196,1),(199,1)}
       191:{1,3,7}:{(179,1),(181,1),(197,1),(200,1)}
       192:{2,3,7}:{(179,1),(180,1),(198,1),(200,1)}
       193:{2,4}:{(182,1),(201,1)}
       194:{3,5}:{(183,1),(186,1),(201,1)}
       195:{2,4,5}:{(184,1),(187,1),(203,1)}
       196:{1,5}:{(185,1),(188,1)}
       197:{1,3,6}:{(186,1),(188,1),(191,1),(202,1),(204,1)}
       198:{2,3,6}:{(186,1),(187,1),(192,1),(203,1),(204,1)}
       199:{1,6}:{(189,1),(190,1)}
       200:{1,2,7}:{(191,1),(192,1),(204,1)}
       201:{3,4}:{(193,1),(194,1),(205,1)}
       202:{1,3,5}:{(194,1),(196,1),(197,1),(205,1),(207,1),(209,1)}
       203:{2,3,5}:{(194,1),(195,1),(198,1),(206,1),(207,1)}
       204:{1,2,6}:{(197,1),(198,1),(200,1),(207,1)}
       205:{1,4}:{(201,1),(202,1)}
       206:{2,3,4}:{(201,1),(203,1),(208,1)}
       207:{1,2,5}:{(202,1),(203,1),(204,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{1,3}:{(208,1)}

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

 662 :   0:{1,2,4,5,6}:{(1,1),(2,1),(9,1),(10,1),(12,1),(32,1),(73,1),(74,1),(75,1),(76,1),(102,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(51,1),(88,1),(100,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(24,1),(26,1),(62,1),(63,1),(64,1)}
         3:{3,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(40,1),(71,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(12,1),(13,1),(30,1),(40,1),(67,1),(68,1),(74,1),(94,1),(96,1),(103,1)}
         5:{2,3,5,6}:{(1,1),(10,1),(12,1),(14,1),(31,1),(40,1),(65,1),(70,1),(75,1),(92,1),(96,1),(102,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(15,1)}
         7:{1,2,4,6,7}:{(2,1),(15,1),(16,1),(42,1),(43,1),(45,1),(46,1),(73,1)}
         8:{3,4,5}:{(3,1),(17,1),(18,1),(51,1),(100,1)}
         9:{1,4,6}:{(3,1),(4,1),(17,1),(23,1),(84,1),(101,1)}
        10:{2,4,6}:{(3,1),(5,1),(18,1),(24,1),(81,1),(101,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(24,1),(60,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(22,1),(26,1),(47,1),(49,1),(83,1),(86,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(23,1),(26,1),(27,1),(60,1),(62,1),(90,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(24,1),(26,1),(28,1),(60,1),(63,1),(90,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,2,5,6,7}:{(7,1),(29,1),(62,1),(63,1),(89,1)}
        17:{1,4,5}:{(8,1),(9,1),(30,1),(103,1),(104,1)}
        18:{2,4,5}:{(8,1),(10,1),(31,1),(102,1),(104,1)}
        19:{3,4,5,7}:{(8,1),(11,1),(33,1),(34,1),(35,1),(44,1),(72,1),(97,1),(104,1)}
        20:{1,3,4,6}:{(9,1),(30,1),(36,1),(37,1),(40,1),(67,1),(71,1),(95,1)}
        21:{2,3,4,6}:{(10,1),(31,1),(38,1),(39,1),(40,1),(70,1),(71,1),(95,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(12,1),(32,1),(40,1),(41,1)}
        23:{1,4,7}:{(9,1),(11,1),(13,1),(97,1)}
        24:{2,4,7}:{(10,1),(11,1),(14,1),(97,1)}
        25:{3,4,6,7}:{(11,1),(15,1),(35,1),(42,1),(43,1),(44,1),(46,1),(79,1),(95,1),(97,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(14,1),(41,1),(45,1)}
        27:{1,3,6,7}:{(13,1),(15,1),(42,1),(45,1),(67,1),(79,1),(94,1)}
        28:{2,3,6,7}:{(14,1),(15,1),(43,1),(45,1),(70,1),(79,1),(92,1)}
        29:{3,5,6,7}:{(15,1),(16,1),(44,1),(46,1),(96,1)}
        30:{1,3,5}:{(17,1),(20,1),(47,1),(51,1),(100,1)}
        31:{2,3,5}:{(18,1),(21,1),(49,1),(51,1),(100,1)}
        32:{1,2,4,5}:{(17,1),(18,1),(22,1),(47,1),(49,1),(51,1),(81,1),(84,1)}
        33:{1,4,5,7}:{(17,1),(19,1),(23,1),(48,1),(53,1),(62,1)}
        34:{2,4,5,7}:{(18,1),(19,1),(24,1),(50,1),(54,1),(63,1)}
        35:{3,4,6}:{(19,1),(53,1),(54,1),(55,1),(88,1),(101,1)}
        36:{1,2,4,6}:{(20,1),(47,1),(56,1),(57,1),(81,1),(83,1),(98,1)}
        37:{1,3,4,7}:{(20,1),(23,1),(48,1),(57,1),(60,1),(87,1)}
        38:{1,2,4,6}:{(21,1),(49,1),(58,1),(59,1),(84,1),(86,1),(99,1)}
        39:{2,3,4,7}:{(21,1),(24,1),(50,1),(59,1),(60,1),(87,1)}
        40:{3,6}:{(22,1),(51,1),(60,1)}
        41:{1,2,4,7}:{(22,1),(23,1),(24,1),(26,1),(60,1)}
        42:{1,4,6,7}:{(23,1),(25,1),(27,1),(53,1),(62,1),(99,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(28,1),(54,1),(63,1),(98,1)}
        44:{3,5,7}:{(25,1),(55,1),(62,1),(63,1),(64,1),(100,1)}
        45:{1,2,6,7}:{(26,1),(27,1),(28,1),(83,1),(86,1)}
        46:{4,6,7}:{(29,1),(64,1),(101,1)}
        47:{1,2,5}:{(30,1),(36,1),(65,1),(102,1)}
        48:{1,3,5,7}:{(30,1),(33,1),(37,1),(66,1),(67,1),(72,1)}
        49:{1,2,5}:{(31,1),(38,1),(68,1),(103,1)}
        50:{2,3,5,7}:{(31,1),(34,1),(39,1),(69,1),(70,1),(72,1)}
        51:{3,5}:{(32,1),(40,1),(71,1)}
        52:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(41,1),(66,1),(69,1),(72,1),(73,1),(80,1),(91,1),(93,1),(97,1),(102,1),(103,1),(104,1)}
        53:{1,4,6}:{(33,1),(35,1),(67,1),(74,1)}
        54:{2,4,6}:{(34,1),(35,1),(70,1),(75,1)}
        55:{3,5,6}:{(35,1),(44,1),(74,1),(75,1),(76,1)}
        56:{2,3,6}:{(36,1),(40,1),(65,1),(77,1)}
        57:{1,2,4,7}:{(36,1),(37,1),(66,1),(77,1),(91,1)}
        58:{1,3,6}:{(38,1),(40,1),(68,1),(78,1)}
        59:{1,2,4,7}:{(38,1),(39,1),(69,1),(78,1),(93,1)}
        60:{3,7}:{(40,1),(41,1)}
        61:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(45,1),(73,1),(79,1),(80,1),(97,1)}
        62:{1,5,7}:{(42,1),(44,1),(74,1),(103,1)}
        63:{2,5,7}:{(43,1),(44,1),(75,1),(102,1)}
        64:{4,5,7}:{(44,1),(46,1),(76,1),(97,1),(104,1)}
        65:{2,3,5}:{(47,1),(51,1),(56,1),(81,1)}
        66:{1,2,5,7}:{(47,1),(48,1),(57,1),(82,1),(83,1)}
        67:{1,3,6}:{(48,1),(53,1),(83,1),(88,1)}
        68:{1,3,5}:{(49,1),(51,1),(58,1),(84,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(59,1),(85,1),(86,1)}
        70:{2,3,6}:{(50,1),(54,1),(86,1),(88,1)}
        71:{3,4}:{(51,1),(81,1),(84,1)}
        72:{3,5,7}:{(51,1),(52,1),(60,1),(87,1),(88,1),(100,1)}
        73:{1,2,4,6}:{(52,1),(53,1),(54,1),(83,1),(86,1),(88,1),(89,1),(98,1),(99,1),(101,1)}
        74:{1,5,6}:{(53,1),(55,1),(62,1)}
        75:{2,5,6}:{(54,1),(55,1),(63,1)}
        76:{4,5,6}:{(55,1),(64,1),(101,1)}
        77:{2,3,7}:{(56,1),(57,1),(60,1)}
        78:{1,3,7}:{(58,1),(59,1),(60,1)}
        79:{3,6,7}:{(60,1),(61,1),(88,1),(90,1)}
        80:{1,2,5,7}:{(61,1),(62,1),(63,1),(89,1),(90,1)}
        81:{2,4}:{(65,1),(71,1)}
        82:{2,3,5,7}:{(65,1),(66,1),(72,1),(77,1),(91,1),(92,1),(102,1)}
        83:{1,2,6}:{(66,1),(67,1),(92,1)}
        84:{1,4}:{(68,1),(71,1)}
        85:{1,3,5,7}:{(68,1),(69,1),(72,1),(78,1),(93,1),(94,1),(103,1)}
        86:{1,2,6}:{(69,1),(70,1),(94,1)}
        87:{3,4,7}:{(71,1),(72,1),(91,1),(93,1),(95,1),(97,1)}
        88:{3,6}:{(72,1),(73,1)}
        89:{1,2,5,6}:{(73,1),(74,1),(75,1),(80,1),(96,1),(102,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{2,4,7}:{(81,1),(82,1),(87,1),(98,1)}
        92:{2,3,6}:{(82,1),(83,1),(88,1),(98,1)}
        93:{1,4,7}:{(84,1),(85,1),(87,1),(99,1)}
        94:{1,3,6}:{(85,1),(86,1),(88,1),(99,1)}
        95:{3,4,6}:{(87,1),(88,1),(98,1),(99,1),(100,1),(101,1)}
        96:{3,5,6}:{(88,1),(89,1),(90,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{2,4,6}:{(91,1),(92,1),(95,1),(102,1)}
        99:{1,4,6}:{(93,1),(94,1),(95,1),(103,1)}
       100:{3,5}:{(95,1),(102,1),(103,1),(104,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{2,5}:{(98,1),(100,1)}
       103:{1,5}:{(99,1),(100,1)}
       104:{4,5}:{(100,1),(101,1)}

 663 :   0:{1,4,5,6}:{(3,1),(4,1),(25,1),(32,1),(82,1)}
         1:{1,3,4,6}:{(6,1),(7,1),(8,1),(25,1),(37,1),(72,1),(86,1),(120,1),(137,1)}
         2:{1,5,6,7}:{(9,1),(11,1),(90,1),(94,1)}
         3:{1,4,5,7}:{(0,1),(11,1),(12,1),(43,1),(45,1),(94,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(14,1)}
         5:{3,4,5}:{(10,1),(16,1),(17,1),(60,1)}
         6:{1,3,5}:{(1,1),(16,1),(19,1),(60,1),(144,1),(159,1)}
         7:{1,3,4,7}:{(1,1),(18,1),(20,1),(45,1),(97,1),(113,1),(143,1),(184,1)}
         8:{1,2,4,6}:{(1,1),(19,1),(20,1),(21,1),(61,1),(63,1),(114,1)}
         9:{3,5,6,7}:{(2,1),(22,1),(23,1),(27,1),(65,1),(68,1)}
        10:{3,4,6}:{(4,1),(5,1),(24,1),(25,1),(26,1),(72,1)}
        11:{1,4,6,7}:{(2,1),(3,1),(23,1),(27,1)}
        12:{3,5,7}:{(3,1),(4,1),(24,1),(27,1),(29,1)}
        13:{1,3,5,6}:{(4,1),(6,1),(25,1),(28,1),(30,1),(37,1),(72,1),(82,1),(136,1)}
        14:{2,5,6}:{(4,1),(26,1),(29,1)}
        15:{3,4,5,7}:{(5,1),(24,1),(33,1),(34,1),(35,1),(68,1),(85,1),(115,1),(127,1),(165,1),(176,1)}
        16:{1,4,5}:{(5,1),(6,1),(25,1),(176,1)}
        17:{2,4,5}:{(5,1),(26,1),(31,1)}
        18:{1,3,5,7}:{(6,1),(7,1),(34,1),(37,1),(38,1),(85,1),(160,1),(164,1),(169,1)}
        19:{1,2,5}:{(6,1),(8,1),(39,1),(138,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(38,1),(40,1),(88,1),(196,1)}
        21:{2,3,6}:{(8,1),(39,1),(40,1),(72,1)}
        22:{2,5,6,7}:{(9,1),(41,1),(49,1),(95,1)}
        23:{4,6,7}:{(9,1),(43,1)}
        24:{3,4,7}:{(10,1),(12,1),(45,1),(46,1),(97,1)}
        25:{1,4,6}:{(10,1),(13,1),(16,1),(45,1),(158,1)}
        26:{2,4,6}:{(10,1),(14,1),(17,1),(42,1),(46,1)}
        27:{3,6,7}:{(11,1),(12,1),(49,1)}
        28:{1,3,5,7}:{(12,1),(13,1),(45,1),(48,1),(50,1),(94,1),(97,1),(145,1)}
        29:{2,5,7}:{(12,1),(14,1),(46,1),(49,1)}
        30:{1,2,5,6}:{(13,1),(14,1),(19,1),(47,1),(50,1),(51,1),(61,1),(144,1),(181,1)}
        31:{2,3,5}:{(17,1),(42,1),(52,1),(55,1),(60,1)}
        32:{4,5,6}:{(43,1),(56,1),(158,1)}
        33:{3,4,6}:{(15,1),(56,1),(57,1),(58,1),(112,1),(158,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(18,1),(45,1),(57,1),(94,1),(139,1),(150,1)}
        35:{2,4,5,7}:{(15,1),(17,1),(46,1),(54,1),(58,1),(95,1),(140,1),(151,1)}
        36:{1,2,4,5}:{(16,1),(17,1),(19,1),(47,1),(55,1),(60,1),(63,1),(101,1),(110,1),(144,1)}
        37:{1,3,6}:{(18,1),(57,1),(61,1),(112,1),(181,1)}
        38:{1,2,5,7}:{(18,1),(19,1),(20,1),(61,1),(62,1),(177,1),(185,1)}
        39:{2,3,5}:{(19,1),(21,1),(60,1),(63,1)}
        40:{2,3,7}:{(20,1),(21,1),(97,1),(204,1)}
        41:{2,4,6,7}:{(22,1),(23,1),(64,1),(65,1)}
        42:{2,3,6}:{(26,1),(31,1),(66,1),(67,1),(72,1)}
        43:{4,5,7}:{(23,1),(32,1),(68,1),(165,1)}
        44:{3,4,6,7}:{(23,1),(24,1),(27,1),(33,1),(65,1),(68,1),(69,1),(70,1),(115,1),(122,1),(165,1)}
        45:{1,4,7}:{(24,1),(25,1),(28,1),(165,1)}
        46:{2,4,7}:{(24,1),(26,1),(29,1),(66,1)}
        47:{1,2,4,6}:{(25,1),(26,1),(30,1),(36,1),(67,1),(71,1),(72,1),(75,1),(120,1)}
        48:{1,3,6,7}:{(27,1),(28,1),(37,1),(69,1),(73,1),(122,1),(160,1)}
        49:{2,6,7}:{(27,1),(29,1)}
        50:{1,2,5,7}:{(28,1),(29,1),(30,1),(71,1),(73,1),(74,1),(164,1)}
        51:{2,3,5,6}:{(30,1),(39,1),(72,1),(74,1),(75,1),(87,1),(124,1),(136,1),(138,1),(167,1),(168,1)}
        52:{2,3,4}:{(31,1),(77,1),(86,1)}
        53:{2,4,5,6}:{(32,1),(64,1),(78,1),(83,1),(132,1)}
        54:{2,3,5,7}:{(31,1),(35,1),(66,1),(76,1),(79,1),(80,1),(85,1),(128,1),(207,1)}
        55:{1,2,5}:{(31,1),(67,1),(77,1),(81,1)}
        56:{3,5,6}:{(32,1),(33,1),(68,1),(82,1),(83,1)}
        57:{1,4,6}:{(33,1),(34,1),(37,1),(82,1)}
        58:{2,4,6}:{(33,1),(35,1),(79,1),(83,1)}
        59:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(38,1),(71,1),(80,1),(84,1),(85,1),(88,1),(121,1),(126,1),(135,1),(138,1),(161,1),(164,1),(165,1),(170,1),(175,1),(176,1),(193,1),(207,1)}
        60:{3,5}:{(36,1),(72,1),(86,1)}
        61:{1,2,6}:{(37,1),(38,1),(87,1)}
        62:{2,3,5,7}:{(38,1),(39,1),(40,1),(85,1),(87,1),(88,1),(138,1),(191,1),(197,1),(207,1)}
        63:{2,4}:{(39,1),(86,1)}
        64:{2,4,5,7}:{(41,1),(43,1),(53,1),(89,1),(95,1),(140,1)}
        65:{3,6,7}:{(41,1),(89,1),(90,1)}
        66:{2,3,7}:{(42,1),(46,1),(92,1),(97,1)}
        67:{1,2,6}:{(42,1),(55,1),(92,1),(93,1)}
        68:{3,5,7}:{(43,1),(44,1),(56,1),(94,1),(95,1)}
        69:{1,4,6,7}:{(44,1),(45,1),(48,1),(57,1),(90,1),(94,1),(139,1)}
        70:{2,4,6,7}:{(44,1),(46,1),(49,1),(58,1),(91,1),(95,1),(140,1)}
        71:{1,2,4,7}:{(45,1),(46,1),(47,1),(50,1),(92,1),(97,1),(100,1),(143,1)}
        72:{3,6}:{(47,1),(60,1),(97,1)}
        73:{1,2,6,7}:{(48,1),(49,1),(50,1),(61,1),(99,1),(177,1),(181,1)}
        74:{2,3,5,7}:{(50,1),(51,1),(97,1),(99,1),(100,1),(145,1),(147,1),(148,1)}
        75:{2,4,6}:{(51,1),(63,1),(98,1),(100,1),(101,1),(158,1)}
        76:{2,3,4,7}:{(52,1),(54,1),(102,1),(103,1),(113,1),(140,1),(178,1),(201,1)}
        77:{1,2,4}:{(52,1),(55,1),(104,1),(110,1)}
        78:{3,5,6}:{(53,1),(89,1),(105,1),(106,1)}
        79:{2,3,6}:{(54,1),(58,1),(108,1),(112,1),(209,1)}
        80:{1,2,5,7}:{(54,1),(55,1),(92,1),(103,1),(108,1),(109,1),(152,1)}
        81:{1,3,5}:{(55,1),(60,1),(93,1),(104,1),(110,1),(144,1)}
        82:{1,5,6}:{(56,1),(57,1),(94,1)}
        83:{2,5,6}:{(56,1),(58,1),(95,1)}
        84:{1,2,4,6}:{(57,1),(58,1),(59,1),(61,1),(108,1),(111,1),(112,1),(114,1),(149,1),(157,1),(158,1),(181,1),(203,1),(209,1)}
        85:{3,5,7}:{(59,1),(60,1),(97,1),(112,1),(113,1),(159,1),(178,1),(186,1)}
        86:{3,4}:{(60,1),(63,1),(110,1)}
        87:{2,3,6}:{(61,1),(62,1),(112,1),(114,1),(209,1)}
        88:{2,4,7}:{(62,1),(63,1),(113,1),(114,1),(205,1)}
        89:{3,5,7}:{(64,1),(65,1),(78,1),(115,1),(116,1)}
        90:{1,6,7}:{(65,1),(116,1)}
        91:{2,3,6,7}:{(65,1),(66,1),(70,1),(79,1),(117,1),(118,1),(122,1)}
        92:{1,2,7}:{(66,1),(67,1),(119,1)}
        93:{1,3,6}:{(67,1),(72,1),(81,1),(119,1),(120,1)}
        94:{1,5,7}:{(68,1),(69,1),(82,1)}
        95:{2,5,7}:{(68,1),(70,1),(83,1)}
        96:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(73,1),(84,1),(118,1),(121,1),(122,1),(125,1),(161,1),(163,1),(165,1)}
        97:{3,7}:{(71,1),(72,1)}
        98:{3,4,6}:{(72,1),(75,1),(86,1),(120,1),(123,1),(124,1),(167,1)}
        99:{2,3,6,7}:{(73,1),(74,1),(87,1),(122,1),(125,1),(167,1),(191,1)}
       100:{2,4,7}:{(74,1),(75,1),(123,1),(165,1)}
       101:{2,4,5}:{(75,1),(124,1),(138,1),(176,1)}
       102:{2,3,4,6}:{(76,1),(79,1),(128,1),(129,1),(132,1),(137,1),(173,1),(198,1),(199,1)}
       103:{1,2,4,7}:{(76,1),(77,1),(80,1),(129,1),(130,1),(135,1)}
       104:{1,3}:{(77,1)}
       105:{3,4,6}:{(78,1),(115,1),(127,1),(131,1),(132,1),(173,1)}
       106:{1,5,6}:{(78,1),(116,1),(131,1)}
       107:{2,3,5,6}:{(78,1),(79,1),(83,1),(117,1),(128,1),(132,1),(133,1),(136,1),(173,1)}
       108:{1,2,6}:{(79,1),(80,1),(134,1)}
       109:{1,3,5,7}:{(80,1),(81,1),(85,1),(119,1),(130,1),(134,1),(135,1),(164,1),(171,1),(175,1)}
       110:{1,4}:{(81,1),(86,1)}
       111:{1,2,5,6}:{(82,1),(83,1),(84,1),(121,1),(136,1),(138,1),(168,1),(175,1),(194,1)}
       112:{3,6}:{(84,1),(85,1)}
       113:{3,4,7}:{(85,1),(86,1),(88,1),(135,1),(137,1),(165,1),(198,1)}
       114:{2,4,6}:{(87,1),(88,1),(137,1),(138,1)}
       115:{3,4,7}:{(89,1),(105,1),(139,1),(140,1),(178,1)}
       116:{1,5,7}:{(89,1),(90,1),(106,1),(139,1)}
       117:{2,3,5,7}:{(89,1),(91,1),(95,1),(107,1),(140,1),(141,1),(145,1),(178,1)}
       118:{1,2,6,7}:{(90,1),(91,1),(92,1),(108,1),(141,1),(142,1),(209,1)}
       119:{1,3,7}:{(92,1),(93,1),(97,1),(143,1)}
       120:{1,4,6}:{(93,1),(98,1),(110,1),(143,1),(144,1),(181,1)}
       121:{1,2,5,7}:{(94,1),(95,1),(96,1),(111,1),(145,1),(148,1),(180,1)}
       122:{3,6,7}:{(96,1),(97,1),(112,1),(145,1),(178,1)}
       123:{3,4,7}:{(97,1),(98,1),(100,1),(143,1),(147,1)}
       124:{3,5}:{(98,1),(101,1),(144,1)}
       125:{2,4,6,7}:{(99,1),(100,1),(114,1),(146,1),(148,1),(149,1),(201,1),(209,1)}
       126:{2,4,5,7}:{(100,1),(101,1),(147,1),(148,1),(149,1),(182,1)}
       127:{3,4,5}:{(105,1),(150,1),(151,1),(186,1)}
       128:{2,3,5}:{(102,1),(151,1),(152,1),(159,1),(186,1),(206,1)}
       129:{1,2,4,6}:{(102,1),(103,1),(108,1),(152,1),(153,1),(157,1),(187,1)}
       130:{1,3,7}:{(103,1),(104,1),(153,1),(178,1)}
       131:{1,4,6}:{(105,1),(106,1),(139,1),(150,1),(154,1)}
       132:{2,4,6}:{(105,1),(107,1),(140,1),(151,1),(158,1)}
       133:{1,2,5,6}:{(106,1),(107,1),(108,1),(141,1),(152,1),(155,1),(156,1),(206,1),(209,1)}
       134:{1,3,6}:{(108,1),(109,1),(112,1),(157,1),(181,1)}
       135:{1,4,7}:{(109,1),(110,1),(113,1),(157,1),(187,1)}
       136:{3,5,6}:{(111,1),(112,1),(145,1),(158,1),(159,1)}
       137:{3,4,6}:{(112,1),(113,1),(114,1),(157,1),(158,1),(159,1)}
       138:{2,5}:{(114,1),(159,1)}
       139:{1,4,7}:{(115,1),(116,1),(131,1),(160,1)}
       140:{2,4,7}:{(115,1),(117,1),(132,1),(165,1)}
       141:{1,2,5,7}:{(116,1),(117,1),(118,1),(133,1),(161,1),(162,1),(207,1)}
       142:{1,3,6,7}:{(118,1),(119,1),(122,1),(134,1),(162,1),(163,1),(208,1)}
       143:{1,4,7}:{(119,1),(120,1),(123,1),(164,1)}
       144:{1,5}:{(120,1),(124,1)}
       145:{3,5,7}:{(121,1),(122,1),(136,1),(165,1)}
       146:{3,4,6,7}:{(122,1),(123,1),(125,1),(137,1),(163,1),(165,1),(166,1),(167,1),(192,1),(195,1),(208,1)}
       147:{3,5,7}:{(123,1),(124,1),(126,1),(164,1),(167,1)}
       148:{2,5,7}:{(125,1),(138,1),(166,1),(168,1)}
       149:{2,4,6}:{(126,1),(167,1),(168,1),(195,1)}
       150:{1,4,5}:{(127,1),(131,1),(169,1)}
       151:{2,4,5}:{(127,1),(128,1),(132,1),(176,1)}
       152:{1,2,5}:{(128,1),(129,1),(171,1),(175,1)}
       153:{1,3,6}:{(129,1),(130,1),(171,1),(173,1)}
       154:{1,3,6}:{(131,1),(160,1),(169,1),(172,1),(173,1)}
       155:{1,2,4,6}:{(131,1),(132,1),(133,1),(161,1),(170,1),(172,1),(173,1),(174,1),(199,1)}
       156:{1,3,5,6}:{(133,1),(134,1),(136,1),(162,1),(171,1),(173,1),(174,1),(175,1),(194,1),(200,1),(208,1)}
       157:{1,4,6}:{(134,1),(135,1),(137,1),(175,1)}
       158:{4,6}:{(136,1),(165,1),(176,1)}
       159:{3,5}:{(137,1),(138,1),(175,1),(176,1)}
       160:{1,3,7}:{(139,1),(154,1),(177,1),(178,1)}
       161:{1,2,4,7}:{(139,1),(140,1),(141,1),(155,1),(177,1),(178,1),(179,1),(201,1)}
       162:{1,3,5,7}:{(141,1),(142,1),(145,1),(156,1),(178,1),(179,1),(180,1),(202,1)}
       163:{1,4,6,7}:{(142,1),(143,1),(146,1),(157,1),(179,1),(180,1),(181,1),(203,1)}
       164:{1,5,7}:{(143,1),(144,1),(147,1),(181,1)}
       165:{4,7}:{(145,1),(158,1)}
       166:{3,5,7}:{(146,1),(148,1),(159,1),(180,1),(182,1),(183,1)}
       167:{3,6}:{(147,1),(149,1),(181,1)}
       168:{2,5,6}:{(148,1),(149,1),(183,1),(209,1)}
       169:{1,3,5}:{(150,1),(154,1),(184,1),(185,1),(186,1)}
       170:{1,2,4,5}:{(150,1),(151,1),(152,1),(155,1),(185,1),(186,1),(187,1),(190,1),(205,1),(206,1)}
       171:{1,3,5}:{(152,1),(153,1),(186,1),(187,1)}
       172:{1,2,6}:{(154,1),(177,1),(185,1),(188,1)}
       173:{3,6}:{(155,1),(178,1),(186,1)}
       174:{1,4,6}:{(156,1),(158,1),(179,1),(187,1),(189,1),(190,1)}
       175:{1,5}:{(157,1),(159,1)}
       176:{4,5}:{(158,1),(159,1)}
       177:{1,2,7}:{(160,1),(172,1),(191,1)}
       178:{3,7}:{(161,1),(173,1)}
       179:{1,4,7}:{(162,1),(165,1),(174,1),(192,1)}
       180:{1,5,7}:{(163,1),(166,1),(175,1),(194,1)}
       181:{1,6}:{(164,1),(167,1)}
       182:{4,5,7}:{(165,1),(166,1),(176,1),(195,1)}
       183:{3,5,6}:{(166,1),(167,1),(168,1),(194,1),(195,1),(208,1)}
       184:{1,3,4}:{(169,1),(196,1),(198,1)}
       185:{1,2,5}:{(169,1),(172,1),(196,1),(197,1)}
       186:{3,5}:{(170,1),(173,1),(198,1)}
       187:{1,4}:{(171,1),(198,1)}
       188:{2,3,6}:{(172,1),(173,1),(191,1),(197,1),(199,1)}
       189:{3,4,6}:{(173,1),(174,1),(192,1),(198,1),(199,1),(200,1),(208,1)}
       190:{1,4,5}:{(174,1),(175,1),(176,1),(200,1)}
       191:{2,3,7}:{(177,1),(178,1),(188,1),(201,1)}
       192:{3,4,7}:{(178,1),(179,1),(189,1),(201,1),(202,1)}
       193:{1,4,5,7}:{(179,1),(180,1),(182,1),(190,1),(202,1),(203,1)}
       194:{1,5,6}:{(180,1),(181,1),(183,1),(203,1)}
       195:{4,6}:{(182,1),(183,1)}
       196:{1,2,4}:{(184,1),(185,1),(204,1),(205,1)}
       197:{2,3,5}:{(185,1),(186,1),(188,1),(204,1),(205,1),(206,1)}
       198:{3,4}:{(186,1),(187,1),(205,1)}
       199:{2,4,6}:{(188,1),(189,1),(201,1),(205,1),(206,1),(209,1)}
       200:{3,5}:{(189,1),(190,1),(206,1)}
       201:{2,4,7}:{(191,1),(192,1),(199,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(200,1),(207,1),(208,1)}
       203:{1,4,6}:{(193,1),(194,1),(195,1),(208,1)}
       204:{2,3}:{(196,1)}
       205:{2,4}:{(197,1),(198,1)}
       206:{2,5}:{(199,1),(200,1)}
       207:{2,5,7}:{(201,1),(202,1),(206,1),(209,1)}
       208:{3,6}:{(202,1),(203,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

 664 :   0:{2,4,5,6}:{(2,1),(3,1),(19,1),(43,1),(96,1)}
         1:{2,5,6,7}:{(5,1),(7,1),(78,1),(82,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(8,1),(33,1),(36,1),(82,1)}
         3:{3,5,6}:{(0,1),(6,1),(8,1),(9,1)}
         4:{2,3,4,6}:{(12,1),(13,1),(14,1),(19,1),(48,1),(60,1),(99,1),(107,1),(148,1)}
         5:{3,5,6,7}:{(1,1),(15,1),(16,1),(20,1),(53,1),(56,1)}
         6:{3,4,6}:{(3,1),(11,1),(17,1),(18,1),(19,1),(60,1)}
         7:{2,4,6,7}:{(1,1),(2,1),(16,1),(20,1)}
         8:{3,5,7}:{(2,1),(3,1),(17,1),(20,1),(21,1)}
         9:{1,5,6}:{(3,1),(18,1),(21,1)}
        10:{2,3,5,6}:{(3,1),(12,1),(19,1),(22,1),(23,1),(48,1),(60,1),(96,1),(147,1)}
        11:{3,4,5}:{(6,1),(25,1),(26,1),(72,1)}
        12:{2,3,5}:{(4,1),(26,1),(28,1),(72,1),(132,1),(168,1)}
        13:{2,3,4,7}:{(4,1),(27,1),(29,1),(36,1),(84,1),(125,1),(131,1),(189,1)}
        14:{1,2,4,6}:{(4,1),(28,1),(29,1),(30,1),(73,1),(75,1),(126,1)}
        15:{1,5,6,7}:{(5,1),(31,1),(38,1),(81,1)}
        16:{4,6,7}:{(5,1),(33,1)}
        17:{3,4,7}:{(6,1),(8,1),(35,1),(36,1),(84,1)}
        18:{1,4,6}:{(6,1),(9,1),(25,1),(32,1),(35,1)}
        19:{2,4,6}:{(6,1),(10,1),(26,1),(36,1),(167,1)}
        20:{3,6,7}:{(7,1),(8,1),(38,1)}
        21:{1,5,7}:{(8,1),(9,1),(35,1),(38,1)}
        22:{2,3,5,7}:{(8,1),(10,1),(36,1),(39,1),(40,1),(82,1),(84,1),(133,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(28,1),(37,1),(40,1),(41,1),(73,1),(132,1),(173,1)}
        24:{3,4,5,7}:{(11,1),(17,1),(44,1),(45,1),(46,1),(56,1),(98,1),(102,1),(138,1),(155,1),(183,1)}
        25:{1,4,5}:{(11,1),(18,1),(42,1)}
        26:{2,4,5}:{(11,1),(12,1),(19,1),(183,1)}
        27:{2,3,5,7}:{(12,1),(13,1),(46,1),(48,1),(49,1),(98,1),(150,1),(154,1),(176,1)}
        28:{1,2,5}:{(12,1),(14,1),(50,1),(149,1)}
        29:{1,2,4,7}:{(13,1),(14,1),(49,1),(51,1),(101,1),(199,1)}
        30:{1,3,6}:{(14,1),(50,1),(51,1),(60,1)}
        31:{1,4,6,7}:{(15,1),(16,1),(52,1),(53,1)}
        32:{1,3,6}:{(18,1),(42,1),(54,1),(55,1),(60,1)}
        33:{4,5,7}:{(16,1),(43,1),(56,1),(155,1)}
        34:{3,4,6,7}:{(16,1),(17,1),(20,1),(44,1),(53,1),(56,1),(57,1),(58,1),(102,1),(109,1),(155,1)}
        35:{1,4,7}:{(17,1),(18,1),(21,1),(54,1)}
        36:{2,4,7}:{(17,1),(19,1),(22,1),(155,1)}
        37:{1,2,4,6}:{(18,1),(19,1),(23,1),(47,1),(55,1),(59,1),(60,1),(63,1),(107,1)}
        38:{1,6,7}:{(20,1),(21,1)}
        39:{2,3,6,7}:{(20,1),(22,1),(48,1),(58,1),(61,1),(109,1),(150,1)}
        40:{1,2,5,7}:{(21,1),(22,1),(23,1),(59,1),(61,1),(62,1),(154,1)}
        41:{1,3,5,6}:{(23,1),(50,1),(60,1),(62,1),(63,1),(100,1),(111,1),(147,1),(149,1),(157,1),(158,1)}
        42:{1,3,5}:{(25,1),(32,1),(64,1),(67,1),(72,1)}
        43:{4,5,6}:{(33,1),(68,1),(167,1)}
        44:{3,4,6}:{(24,1),(68,1),(69,1),(70,1),(124,1),(167,1)}
        45:{1,4,5,7}:{(24,1),(25,1),(35,1),(66,1),(69,1),(81,1),(127,1),(159,1)}
        46:{2,4,5,7}:{(24,1),(26,1),(27,1),(36,1),(70,1),(82,1),(128,1),(160,1)}
        47:{1,2,4,5}:{(25,1),(26,1),(28,1),(37,1),(67,1),(72,1),(75,1),(88,1),(122,1),(132,1)}
        48:{2,3,6}:{(27,1),(70,1),(73,1),(124,1),(173,1)}
        49:{1,2,5,7}:{(27,1),(28,1),(29,1),(73,1),(74,1),(169,1),(190,1)}
        50:{1,3,5}:{(28,1),(30,1),(72,1),(75,1)}
        51:{1,3,7}:{(29,1),(30,1),(84,1),(206,1)}
        52:{1,4,5,7}:{(31,1),(33,1),(65,1),(76,1),(81,1),(127,1)}
        53:{3,6,7}:{(31,1),(76,1),(78,1)}
        54:{1,3,7}:{(32,1),(35,1),(79,1),(84,1)}
        55:{1,2,6}:{(32,1),(67,1),(79,1),(80,1)}
        56:{3,5,7}:{(33,1),(34,1),(68,1),(81,1),(82,1)}
        57:{1,4,6,7}:{(34,1),(35,1),(38,1),(69,1),(77,1),(81,1),(127,1)}
        58:{2,4,6,7}:{(34,1),(36,1),(39,1),(70,1),(78,1),(82,1),(128,1)}
        59:{1,2,4,7}:{(35,1),(36,1),(37,1),(40,1),(79,1),(84,1),(87,1),(131,1)}
        60:{3,6}:{(37,1),(72,1),(84,1)}
        61:{1,2,6,7}:{(38,1),(39,1),(40,1),(73,1),(86,1),(169,1),(173,1)}
        62:{1,3,5,7}:{(40,1),(41,1),(84,1),(86,1),(87,1),(133,1),(135,1),(136,1)}
        63:{1,4,6}:{(41,1),(75,1),(85,1),(87,1),(88,1),(167,1)}
        64:{1,3,4}:{(42,1),(90,1),(99,1)}
        65:{1,4,5,6}:{(43,1),(52,1),(91,1),(95,1),(142,1)}
        66:{1,3,5,7}:{(42,1),(45,1),(54,1),(89,1),(92,1),(93,1),(98,1),(139,1),(204,1)}
        67:{1,2,5}:{(42,1),(55,1),(90,1),(94,1)}
        68:{3,5,6}:{(43,1),(44,1),(56,1),(95,1),(96,1)}
        69:{1,4,6}:{(44,1),(45,1),(92,1),(95,1)}
        70:{2,4,6}:{(44,1),(46,1),(48,1),(96,1)}
        71:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(49,1),(59,1),(93,1),(97,1),(98,1),(101,1),(108,1),(113,1),(146,1),(149,1),(151,1),(154,1),(155,1),(177,1),(182,1),(183,1),(186,1),(204,1)}
        72:{3,5}:{(47,1),(60,1),(99,1)}
        73:{1,2,6}:{(48,1),(49,1),(100,1)}
        74:{1,3,5,7}:{(49,1),(50,1),(51,1),(98,1),(100,1),(101,1),(149,1),(184,1),(200,1),(204,1)}
        75:{1,4}:{(50,1),(99,1)}
        76:{3,5,7}:{(52,1),(53,1),(91,1),(102,1),(104,1)}
        77:{1,3,6,7}:{(53,1),(54,1),(57,1),(92,1),(103,1),(105,1),(109,1)}
        78:{2,6,7}:{(53,1),(104,1)}
        79:{1,2,7}:{(54,1),(55,1),(106,1)}
        80:{2,3,6}:{(55,1),(60,1),(94,1),(106,1),(107,1)}
        81:{1,5,7}:{(56,1),(57,1),(95,1)}
        82:{2,5,7}:{(56,1),(58,1),(96,1)}
        83:{1,2,4,6,7}:{(57,1),(58,1),(59,1),(61,1),(97,1),(105,1),(108,1),(109,1),(112,1),(151,1),(153,1),(155,1)}
        84:{3,7}:{(59,1),(60,1)}
        85:{3,4,6}:{(60,1),(63,1),(99,1),(107,1),(110,1),(111,1),(157,1)}
        86:{1,3,6,7}:{(61,1),(62,1),(100,1),(109,1),(112,1),(157,1),(184,1)}
        87:{1,4,7}:{(62,1),(63,1),(110,1),(155,1)}
        88:{1,4,5}:{(63,1),(111,1),(149,1),(183,1)}
        89:{1,3,4,7}:{(64,1),(66,1),(114,1),(115,1),(125,1),(127,1),(170,1),(196,1)}
        90:{1,2,4}:{(64,1),(67,1),(116,1),(122,1)}
        91:{3,5,6}:{(65,1),(76,1),(117,1),(119,1)}
        92:{1,3,6}:{(66,1),(69,1),(120,1),(124,1),(209,1)}
        93:{1,2,5,7}:{(66,1),(67,1),(79,1),(115,1),(120,1),(121,1),(161,1)}
        94:{2,3,5}:{(67,1),(72,1),(80,1),(116,1),(122,1),(132,1)}
        95:{1,5,6}:{(68,1),(69,1),(81,1)}
        96:{2,5,6}:{(68,1),(70,1),(82,1)}
        97:{1,2,4,6}:{(69,1),(70,1),(71,1),(73,1),(120,1),(123,1),(124,1),(126,1),(137,1),(166,1),(167,1),(173,1),(198,1),(209,1)}
        98:{3,5,7}:{(71,1),(72,1),(84,1),(124,1),(125,1),(168,1),(170,1),(191,1)}
        99:{3,4}:{(72,1),(75,1),(122,1)}
       100:{1,3,6}:{(73,1),(74,1),(124,1),(126,1),(209,1)}
       101:{1,4,7}:{(74,1),(75,1),(125,1),(126,1),(207,1)}
       102:{3,4,7}:{(76,1),(117,1),(127,1),(128,1),(170,1)}
       103:{1,3,5,7}:{(76,1),(77,1),(81,1),(118,1),(127,1),(129,1),(133,1),(170,1)}
       104:{2,5,7}:{(76,1),(78,1),(119,1),(128,1)}
       105:{1,2,6,7}:{(77,1),(78,1),(79,1),(120,1),(129,1),(130,1),(209,1)}
       106:{2,3,7}:{(79,1),(80,1),(84,1),(131,1)}
       107:{2,4,6}:{(80,1),(85,1),(122,1),(131,1),(132,1),(173,1)}
       108:{1,2,5,7}:{(81,1),(82,1),(83,1),(123,1),(133,1),(136,1),(172,1)}
       109:{3,6,7}:{(83,1),(84,1),(124,1),(133,1),(170,1)}
       110:{3,4,7}:{(84,1),(85,1),(87,1),(131,1),(135,1)}
       111:{3,5}:{(85,1),(88,1),(132,1)}
       112:{1,4,6,7}:{(86,1),(87,1),(126,1),(134,1),(136,1),(137,1),(196,1),(209,1)}
       113:{1,4,5,7}:{(87,1),(88,1),(135,1),(136,1),(137,1),(174,1)}
       114:{1,3,4,6}:{(89,1),(92,1),(139,1),(140,1),(142,1),(148,1),(180,1),(201,1),(202,1)}
       115:{1,2,4,7}:{(89,1),(90,1),(93,1),(140,1),(141,1),(146,1)}
       116:{2,3}:{(90,1)}
       117:{3,4,6}:{(91,1),(102,1),(138,1),(142,1),(143,1),(180,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(95,1),(103,1),(139,1),(142,1),(144,1),(147,1),(180,1)}
       119:{2,5,6}:{(91,1),(104,1),(143,1)}
       120:{1,2,6}:{(92,1),(93,1),(145,1)}
       121:{2,3,5,7}:{(93,1),(94,1),(98,1),(106,1),(141,1),(145,1),(146,1),(154,1),(178,1),(182,1)}
       122:{2,4}:{(94,1),(99,1)}
       123:{1,2,5,6}:{(95,1),(96,1),(97,1),(108,1),(147,1),(149,1),(158,1),(182,1),(187,1)}
       124:{3,6}:{(97,1),(98,1)}
       125:{3,4,7}:{(98,1),(99,1),(101,1),(146,1),(148,1),(155,1),(201,1)}
       126:{1,4,6}:{(100,1),(101,1),(148,1),(149,1)}
       127:{1,4,7}:{(102,1),(103,1),(142,1),(155,1)}
       128:{2,4,7}:{(102,1),(104,1),(143,1),(150,1)}
       129:{1,2,5,7}:{(103,1),(104,1),(105,1),(144,1),(151,1),(152,1),(204,1)}
       130:{2,3,6,7}:{(105,1),(106,1),(109,1),(145,1),(152,1),(153,1),(205,1)}
       131:{2,4,7}:{(106,1),(107,1),(110,1),(154,1)}
       132:{2,5}:{(107,1),(111,1)}
       133:{3,5,7}:{(108,1),(109,1),(147,1),(155,1)}
       134:{3,4,6,7}:{(109,1),(110,1),(112,1),(148,1),(153,1),(155,1),(156,1),(157,1),(185,1),(188,1),(205,1)}
       135:{3,5,7}:{(110,1),(111,1),(113,1),(154,1),(157,1)}
       136:{1,5,7}:{(112,1),(149,1),(156,1),(158,1)}
       137:{1,4,6}:{(113,1),(157,1),(158,1),(188,1)}
       138:{3,4,5}:{(117,1),(159,1),(160,1),(191,1)}
       139:{1,3,5}:{(114,1),(159,1),(161,1),(168,1),(191,1),(208,1)}
       140:{1,2,4,6}:{(114,1),(115,1),(120,1),(161,1),(162,1),(166,1),(192,1)}
       141:{2,3,7}:{(115,1),(116,1),(162,1),(170,1)}
       142:{1,4,6}:{(117,1),(118,1),(127,1),(159,1),(167,1)}
       143:{2,4,6}:{(117,1),(119,1),(128,1),(160,1),(163,1)}
       144:{1,2,5,6}:{(118,1),(119,1),(120,1),(129,1),(161,1),(164,1),(165,1),(208,1),(209,1)}
       145:{2,3,6}:{(120,1),(121,1),(124,1),(166,1),(173,1)}
       146:{2,4,7}:{(121,1),(122,1),(125,1),(166,1),(192,1)}
       147:{3,5,6}:{(123,1),(124,1),(133,1),(167,1),(168,1)}
       148:{3,4,6}:{(124,1),(125,1),(126,1),(166,1),(167,1),(168,1)}
       149:{1,5}:{(126,1),(168,1)}
       150:{2,3,7}:{(128,1),(163,1),(169,1),(170,1)}
       151:{1,2,4,7}:{(127,1),(128,1),(129,1),(164,1),(169,1),(170,1),(171,1),(196,1)}
       152:{2,3,5,7}:{(129,1),(130,1),(133,1),(165,1),(170,1),(171,1),(172,1),(197,1)}
       153:{2,4,6,7}:{(130,1),(131,1),(134,1),(166,1),(171,1),(172,1),(173,1),(198,1)}
       154:{2,5,7}:{(131,1),(132,1),(135,1),(173,1)}
       155:{4,7}:{(133,1),(167,1)}
       156:{3,5,7}:{(134,1),(136,1),(168,1),(172,1),(174,1),(175,1)}
       157:{3,6}:{(135,1),(137,1),(173,1)}
       158:{1,5,6}:{(136,1),(137,1),(175,1),(209,1)}
       159:{1,4,5}:{(138,1),(139,1),(142,1),(183,1)}
       160:{2,4,5}:{(138,1),(143,1),(176,1)}
       161:{1,2,5}:{(139,1),(140,1),(178,1),(182,1)}
       162:{2,3,6}:{(140,1),(141,1),(178,1),(180,1)}
       163:{2,3,6}:{(143,1),(150,1),(176,1),(179,1),(180,1)}
       164:{1,2,4,6}:{(142,1),(143,1),(144,1),(151,1),(177,1),(179,1),(180,1),(181,1),(202,1)}
       165:{2,3,5,6}:{(144,1),(145,1),(147,1),(152,1),(178,1),(180,1),(181,1),(182,1),(187,1),(203,1),(205,1)}
       166:{2,4,6}:{(145,1),(146,1),(148,1),(182,1)}
       167:{4,6}:{(147,1),(155,1),(183,1)}
       168:{3,5}:{(148,1),(149,1),(182,1),(183,1)}
       169:{1,2,7}:{(150,1),(179,1),(184,1)}
       170:{3,7}:{(151,1),(180,1)}
       171:{2,4,7}:{(152,1),(155,1),(181,1),(185,1)}
       172:{2,5,7}:{(153,1),(156,1),(182,1),(187,1)}
       173:{2,6}:{(154,1),(157,1)}
       174:{4,5,7}:{(155,1),(156,1),(183,1),(188,1)}
       175:{3,5,6}:{(156,1),(157,1),(158,1),(187,1),(188,1),(205,1)}
       176:{2,3,5}:{(160,1),(163,1),(189,1),(190,1),(191,1)}
       177:{1,2,4,5}:{(159,1),(160,1),(161,1),(164,1),(190,1),(191,1),(192,1),(195,1),(207,1),(208,1)}
       178:{2,3,5}:{(161,1),(162,1),(191,1),(192,1)}
       179:{1,2,6}:{(163,1),(169,1),(190,1),(193,1)}
       180:{3,6}:{(164,1),(170,1),(191,1)}
       181:{2,4,6}:{(165,1),(167,1),(171,1),(192,1),(194,1),(195,1)}
       182:{2,5}:{(166,1),(168,1)}
       183:{4,5}:{(167,1),(168,1)}
       184:{1,3,7}:{(169,1),(170,1),(193,1),(196,1)}
       185:{3,4,7}:{(170,1),(171,1),(194,1),(196,1),(197,1)}
       186:{2,4,5,7}:{(171,1),(172,1),(174,1),(195,1),(197,1),(198,1)}
       187:{2,5,6}:{(172,1),(173,1),(175,1),(198,1)}
       188:{4,6}:{(174,1),(175,1)}
       189:{2,3,4}:{(176,1),(199,1),(201,1)}
       190:{1,2,5}:{(176,1),(179,1),(199,1),(200,1)}
       191:{3,5}:{(177,1),(180,1),(201,1)}
       192:{2,4}:{(178,1),(201,1)}
       193:{1,3,6}:{(179,1),(180,1),(184,1),(200,1),(202,1)}
       194:{3,4,6}:{(180,1),(181,1),(185,1),(201,1),(202,1),(203,1),(205,1)}
       195:{2,4,5}:{(181,1),(182,1),(183,1),(203,1)}
       196:{1,4,7}:{(184,1),(185,1),(202,1),(204,1)}
       197:{3,5,7}:{(185,1),(186,1),(203,1),(204,1),(205,1)}
       198:{2,4,6}:{(186,1),(187,1),(188,1),(205,1)}
       199:{1,2,4}:{(189,1),(190,1),(206,1),(207,1)}
       200:{1,3,5}:{(190,1),(191,1),(193,1),(206,1),(207,1),(208,1)}
       201:{3,4}:{(191,1),(192,1),(207,1)}
       202:{1,4,6}:{(193,1),(194,1),(196,1),(207,1),(208,1),(209,1)}
       203:{3,5}:{(194,1),(195,1),(208,1)}
       204:{1,5,7}:{(196,1),(197,1),(208,1),(209,1)}
       205:{3,6}:{(197,1),(198,1),(209,1)}
       206:{1,3}:{(199,1)}
       207:{1,4}:{(200,1),(201,1)}
       208:{1,5}:{(202,1),(203,1)}
       209:{1,6}:{(204,1),(205,1)}

 665 :   0:{3,4,5,6}:{(1,1),(2,1),(3,1),(17,1),(151,1),(163,1),(205,1)}
         1:{1,4,5,6}:{(0,1),(4,1),(7,1),(169,1),(212,1)}
         2:{2,4,5,6}:{(0,1),(5,1),(8,1),(175,1),(215,1)}
         3:{3,4,5,7}:{(0,1),(7,1),(8,1),(9,1),(35,1),(132,1)}
         4:{1,3,5,6}:{(1,1),(11,1),(13,1),(14,1),(17,1),(139,1),(197,1)}
         5:{2,3,5,6}:{(2,1),(12,1),(15,1),(16,1),(17,1),(145,1),(202,1)}
         6:{1,2,4,5,6}:{(1,1),(2,1),(13,1),(15,1),(17,1),(18,1),(47,1),(50,1),(91,1),(156,1),(159,1),(161,1),(163,1)}
         7:{1,4,5,7}:{(1,1),(3,1),(14,1),(19,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(16,1),(20,1)}
         9:{3,4,6,7}:{(3,1),(19,1),(20,1),(21,1),(55,1),(103,1),(205,1)}
        10:{1,3,4,5}:{(11,1),(22,1),(53,1),(104,1),(139,1)}
        11:{1,3,4,6}:{(4,1),(10,1),(24,1),(25,1),(34,1)}
        12:{2,3,4,6}:{(5,1),(23,1),(26,1),(27,1),(34,1)}
        13:{1,2,5,6}:{(4,1),(24,1),(28,1),(29,1),(110,1),(173,1)}
        14:{1,3,5,7}:{(4,1),(7,1),(25,1),(29,1),(30,1),(35,1)}
        15:{1,2,5,6}:{(5,1),(26,1),(31,1),(32,1),(115,1),(179,1)}
        16:{2,3,5,7}:{(5,1),(8,1),(27,1),(32,1),(33,1),(35,1)}
        17:{3,5,6}:{(6,1),(34,1),(35,1),(119,1),(184,1)}
        18:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(29,1),(32,1),(35,1),(36,1),(69,1),(72,1),(126,1),(129,1),(132,1)}
        19:{1,4,6,7}:{(7,1),(9,1),(30,1),(37,1),(212,1)}
        20:{2,4,6,7}:{(8,1),(9,1),(33,1),(38,1),(215,1)}
        21:{3,5,6,7}:{(9,1),(37,1),(38,1),(39,1),(218,1)}
        22:{1,2,4,5}:{(10,1),(24,1),(40,1),(68,1),(78,1),(110,1)}
        23:{2,3,4,5}:{(12,1),(41,1),(53,1),(136,1),(145,1)}
        24:{1,2,4,6}:{(11,1),(13,1),(22,1),(42,1),(43,1),(47,1)}
        25:{1,3,4,7}:{(11,1),(14,1),(43,1),(54,1)}
        26:{1,2,4,6}:{(12,1),(15,1),(41,1),(44,1),(45,1),(50,1)}
        27:{2,3,4,7}:{(12,1),(16,1),(45,1),(54,1)}
        28:{2,3,5,6}:{(13,1),(17,1),(42,1),(47,1),(48,1),(84,1),(144,1),(159,1)}
        29:{1,2,5,7}:{(13,1),(14,1),(43,1),(48,1),(49,1)}
        30:{1,3,6,7}:{(14,1),(19,1),(49,1),(55,1),(197,1)}
        31:{1,3,5,6}:{(15,1),(17,1),(44,1),(50,1),(51,1),(88,1),(150,1),(161,1)}
        32:{1,2,5,7}:{(15,1),(16,1),(45,1),(51,1),(52,1)}
        33:{2,3,6,7}:{(16,1),(20,1),(52,1),(55,1),(202,1)}
        34:{3,4,6}:{(17,1),(47,1),(50,1),(53,1),(54,1)}
        35:{3,5,7}:{(17,1),(18,1),(54,1),(55,1)}
        36:{1,2,4,6,7}:{(18,1),(19,1),(20,1),(49,1),(52,1),(55,1),(56,1),(96,1),(99,1),(103,1),(156,1)}
        37:{1,5,6,7}:{(19,1),(21,1),(222,1)}
        38:{2,5,6,7}:{(20,1),(21,1),(224,1)}
        39:{4,5,6,7}:{(21,1),(103,1),(226,1)}
        40:{2,3,5}:{(22,1),(42,1),(58,1)}
        41:{1,2,4,5}:{(23,1),(26,1),(59,1),(71,1),(107,1),(115,1)}
        42:{2,3,6}:{(24,1),(40,1),(62,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(29,1),(62,1),(69,1)}
        44:{1,3,6}:{(26,1),(59,1),(65,1)}
        45:{1,2,4,7}:{(26,1),(27,1),(32,1),(65,1),(72,1)}
        46:{1,2,3,5,6}:{(28,1),(31,1),(60,1),(63,1),(66,1),(67,1),(110,1),(115,1),(119,1),(170,1),(173,1),(176,1),(179,1),(184,1),(187,1)}
        47:{2,4,6}:{(28,1),(34,1),(68,1),(69,1)}
        48:{2,3,5,7}:{(28,1),(29,1),(35,1),(62,1),(69,1),(70,1),(126,1)}
        49:{1,2,6,7}:{(29,1),(30,1),(70,1),(173,1)}
        50:{1,4,6}:{(31,1),(34,1),(71,1),(72,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(35,1),(65,1),(72,1),(73,1),(129,1)}
        52:{1,2,6,7}:{(32,1),(33,1),(73,1),(179,1)}
        53:{3,4,5}:{(34,1),(68,1),(71,1),(119,1)}
        54:{3,4,7}:{(34,1),(35,1),(69,1),(72,1)}
        55:{3,6,7}:{(35,1),(36,1),(184,1)}
        56:{1,2,5,6,7}:{(36,1),(37,1),(38,1),(77,1),(126,1),(129,1),(187,1)}
        57:{1,2,3,5}:{(40,1),(60,1),(78,1),(110,1),(133,1)}
        58:{2,3,4}:{(40,1),(78,1)}
        59:{1,3,5}:{(41,1),(44,1),(81,1)}
        60:{1,2,3,6}:{(42,1),(57,1),(82,1),(83,1),(164,1)}
        61:{2,3,4,6}:{(42,1),(47,1),(58,1),(82,1),(84,1),(85,1),(90,1),(144,1)}
        62:{2,3,7}:{(42,1),(43,1)}
        63:{1,2,3,6}:{(44,1),(80,1),(86,1),(87,1),(192,1)}
        64:{1,3,4,6}:{(44,1),(50,1),(81,1),(86,1),(88,1),(89,1),(90,1),(150,1)}
        65:{1,3,7}:{(44,1),(45,1)}
        66:{1,2,4,6}:{(46,1),(47,1),(50,1),(90,1),(91,1),(92,1),(194,1),(199,1)}
        67:{1,2,3,5,7}:{(46,1),(48,1),(51,1),(83,1),(87,1),(92,1),(93,1),(142,1),(148,1),(153,1),(157,1),(196,1),(201,1)}
        68:{2,4,5}:{(47,1),(53,1),(84,1)}
        69:{2,4,7}:{(47,1),(48,1),(54,1)}
        70:{2,3,6,7}:{(48,1),(49,1),(55,1),(96,1),(144,1)}
        71:{1,4,5}:{(50,1),(53,1),(88,1)}
        72:{1,4,7}:{(50,1),(51,1),(54,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(55,1),(99,1),(150,1)}
        74:{3,4,5,6}:{(53,1),(94,1),(97,1),(100,1),(101,1),(152,1),(226,1)}
        75:{3,4,5,7}:{(53,1),(54,1),(95,1),(98,1),(101,1),(102,1),(153,1),(208,1)}
        76:{3,4,6,7}:{(54,1),(55,1),(96,1),(99,1),(101,1),(102,1),(103,1)}
        77:{3,5,6,7}:{(55,1),(56,1),(102,1),(103,1),(207,1)}
        78:{1,2,4}:{(57,1),(58,1),(104,1)}
        79:{2,3,4,5}:{(58,1),(84,1),(105,1),(106,1),(151,1)}
        80:{1,2,3,5}:{(59,1),(63,1),(107,1),(115,1),(166,1)}
        81:{1,3,4}:{(59,1),(107,1)}
        82:{1,2,4,6}:{(60,1),(61,1),(78,1),(109,1),(110,1),(111,1),(173,1)}
        83:{1,2,3,7}:{(60,1),(62,1),(111,1),(191,1)}
        84:{2,3,5}:{(61,1),(68,1),(110,1),(119,1)}
        85:{2,3,4,7}:{(61,1),(62,1),(69,1),(111,1),(113,1),(120,1)}
        86:{1,2,4,6}:{(63,1),(64,1),(107,1),(114,1),(115,1),(116,1),(179,1)}
        87:{1,2,3,7}:{(63,1),(65,1),(116,1),(210,1)}
        88:{1,3,5}:{(64,1),(71,1),(115,1),(119,1)}
        89:{1,3,4,7}:{(64,1),(65,1),(72,1),(116,1),(118,1),(120,1)}
        90:{3,4,6}:{(66,1),(119,1),(120,1),(184,1)}
        91:{1,2,4,5}:{(66,1),(68,1),(71,1),(110,1),(115,1),(119,1),(169,1),(175,1)}
        92:{1,2,4,7}:{(66,1),(67,1),(69,1),(72,1),(120,1),(211,1),(214,1)}
        93:{1,2,3,6,7}:{(67,1),(70,1),(73,1),(123,1),(173,1),(179,1),(184,1),(213,1),(216,1)}
        94:{2,4,5,6}:{(68,1),(74,1),(112,1),(124,1),(125,1)}
        95:{2,4,5,7}:{(68,1),(69,1),(75,1),(113,1),(125,1),(126,1)}
        96:{2,4,6,7}:{(69,1),(70,1),(76,1),(125,1),(126,1)}
        97:{1,4,5,6}:{(71,1),(74,1),(117,1),(127,1),(128,1)}
        98:{1,4,5,7}:{(71,1),(72,1),(75,1),(118,1),(128,1),(129,1)}
        99:{1,4,6,7}:{(72,1),(73,1),(76,1),(128,1),(129,1)}
       100:{3,4,5,7}:{(74,1),(124,1),(127,1),(130,1),(183,1),(230,1)}
       101:{3,4,6}:{(75,1),(125,1),(128,1),(131,1),(184,1),(220,1)}
       102:{3,5,7}:{(76,1),(126,1),(129,1),(131,1),(132,1)}
       103:{4,6,7}:{(77,1),(132,1),(220,1)}
       104:{1,3,4}:{(78,1),(133,1)}
       105:{1,2,4,5}:{(78,1),(79,1),(110,1),(133,1),(134,1),(169,1)}
       106:{2,3,4,6}:{(79,1),(112,1),(134,1),(135,1),(181,1)}
       107:{1,2,4}:{(80,1),(81,1),(136,1)}
       108:{1,3,4,5}:{(81,1),(88,1),(137,1),(138,1),(151,1)}
       109:{1,3,4,6}:{(82,1),(90,1),(104,1),(139,1),(140,1),(164,1),(194,1),(197,1)}
       110:{1,2,5}:{(82,1),(84,1),(139,1)}
       111:{1,2,4,7}:{(82,1),(83,1),(85,1),(140,1),(142,1)}
       112:{2,3,5,6}:{(84,1),(94,1),(106,1),(141,1),(143,1),(144,1),(152,1)}
       113:{2,3,5,7}:{(84,1),(85,1),(95,1),(142,1),(144,1),(153,1)}
       114:{2,3,4,6}:{(86,1),(90,1),(136,1),(145,1),(146,1),(192,1),(199,1),(202,1)}
       115:{1,2,5}:{(86,1),(88,1),(145,1)}
       116:{1,2,4,7}:{(86,1),(87,1),(89,1),(146,1),(148,1)}
       117:{1,3,5,6}:{(88,1),(97,1),(138,1),(147,1),(149,1),(150,1),(152,1)}
       118:{1,3,5,7}:{(88,1),(89,1),(98,1),(148,1),(150,1),(153,1)}
       119:{3,5}:{(90,1),(91,1)}
       120:{3,4,7}:{(90,1),(92,1),(153,1)}
       121:{1,2,4,5,6}:{(91,1),(94,1),(97,1),(141,1),(147,1),(152,1),(155,1),(156,1),(194,1),(199,1),(222,1),(224,1),(226,1)}
       122:{1,2,4,5,7}:{(91,1),(92,1),(95,1),(98,1),(142,1),(148,1),(153,1),(156,1),(157,1),(195,1),(200,1),(208,1)}
       123:{1,2,4,6,7}:{(92,1),(93,1),(96,1),(99,1),(154,1),(156,1),(157,1),(221,1),(223,1)}
       124:{2,4,5,7}:{(94,1),(100,1),(143,1),(158,1)}
       125:{2,4,6}:{(95,1),(101,1),(144,1),(159,1)}
       126:{2,5,7}:{(96,1),(102,1),(159,1)}
       127:{1,4,5,7}:{(97,1),(100,1),(149,1),(160,1)}
       128:{1,4,6}:{(98,1),(101,1),(150,1),(161,1)}
       129:{1,5,7}:{(99,1),(102,1),(161,1)}
       130:{3,4,6,7}:{(100,1),(101,1),(158,1),(160,1),(162,1),(206,1),(227,1)}
       131:{3,5,6}:{(101,1),(102,1),(159,1),(161,1),(163,1)}
       132:{4,5,7}:{(102,1),(103,1),(163,1)}
       133:{1,3,5}:{(104,1),(105,1),(164,1)}
       134:{1,2,4,6}:{(105,1),(106,1),(141,1),(164,1),(165,1),(194,1)}
       135:{2,3,4,7}:{(106,1),(143,1),(165,1),(204,1)}
       136:{2,3,4}:{(107,1),(166,1)}
       137:{1,2,4,5}:{(107,1),(108,1),(115,1),(166,1),(167,1),(175,1)}
       138:{1,3,4,6}:{(108,1),(117,1),(167,1),(168,1),(181,1)}
       139:{1,3,5}:{(109,1),(110,1),(119,1),(169,1)}
       140:{1,3,4,7}:{(109,1),(111,1),(120,1),(171,1),(191,1),(211,1)}
       141:{1,2,5,6}:{(110,1),(112,1),(134,1),(170,1),(172,1),(173,1)}
       142:{1,2,5,7}:{(110,1),(111,1),(113,1),(171,1),(173,1)}
       143:{2,3,5,7}:{(112,1),(124,1),(135,1),(172,1),(174,1),(183,1)}
       144:{2,3,6}:{(113,1),(125,1),(173,1),(184,1)}
       145:{2,3,5}:{(114,1),(115,1),(119,1),(175,1)}
       146:{2,3,4,7}:{(114,1),(116,1),(120,1),(177,1),(210,1),(214,1)}
       147:{1,2,5,6}:{(115,1),(117,1),(167,1),(176,1),(178,1),(179,1)}
       148:{1,2,5,7}:{(115,1),(116,1),(118,1),(177,1),(179,1)}
       149:{1,3,5,7}:{(117,1),(127,1),(168,1),(178,1),(180,1),(183,1)}
       150:{1,3,6}:{(118,1),(128,1),(179,1),(184,1)}
       151:{3,4,5}:{(119,1),(169,1),(175,1),(181,1)}
       152:{3,5,6}:{(119,1),(121,1),(181,1),(183,1),(184,1)}
       153:{3,5,7}:{(119,1),(120,1),(122,1),(184,1)}
       154:{3,4,6,7}:{(120,1),(123,1),(184,1),(185,1),(220,1)}
       155:{1,2,4,5,7}:{(121,1),(124,1),(127,1),(172,1),(178,1),(183,1),(186,1),(211,1),(214,1),(228,1),(229,1),(230,1)}
       156:{1,2,4,6}:{(122,1),(125,1),(128,1),(173,1),(179,1),(184,1),(187,1),(212,1),(215,1),(220,1)}
       157:{1,2,5,7}:{(123,1),(126,1),(129,1),(185,1),(187,1),(228,1),(229,1)}
       158:{2,4,6,7}:{(124,1),(125,1),(130,1),(174,1),(188,1)}
       159:{2,5,6}:{(125,1),(126,1),(131,1)}
       160:{1,4,6,7}:{(127,1),(128,1),(130,1),(180,1),(189,1)}
       161:{1,5,6}:{(128,1),(129,1),(131,1)}
       162:{3,5,6,7}:{(130,1),(131,1),(188,1),(189,1),(190,1)}
       163:{4,5,6}:{(131,1),(132,1),(220,1)}
       164:{1,3,6}:{(133,1),(134,1),(191,1)}
       165:{1,2,4,7}:{(134,1),(135,1),(172,1),(191,1),(211,1)}
       166:{2,3,5}:{(136,1),(137,1),(192,1)}
       167:{1,2,4,6}:{(137,1),(138,1),(147,1),(192,1),(193,1),(199,1)}
       168:{1,3,4,7}:{(138,1),(149,1),(193,1),(204,1)}
       169:{1,4,5}:{(139,1),(151,1),(194,1)}
       170:{1,3,5,6}:{(139,1),(141,1),(152,1),(164,1),(194,1),(196,1),(197,1),(222,1)}
       171:{1,3,5,7}:{(139,1),(140,1),(142,1),(153,1),(195,1),(197,1)}
       172:{1,2,5,7}:{(141,1),(143,1),(165,1),(196,1),(198,1)}
       173:{1,2,6}:{(142,1),(144,1),(197,1)}
       174:{2,3,6,7}:{(143,1),(144,1),(158,1),(198,1),(206,1)}
       175:{2,4,5}:{(145,1),(151,1),(199,1)}
       176:{2,3,5,6}:{(145,1),(147,1),(152,1),(192,1),(199,1),(201,1),(202,1),(224,1)}
       177:{2,3,5,7}:{(145,1),(146,1),(148,1),(153,1),(200,1),(202,1)}
       178:{1,2,5,7}:{(147,1),(149,1),(193,1),(201,1),(203,1)}
       179:{1,2,6}:{(148,1),(150,1),(202,1)}
       180:{1,3,6,7}:{(149,1),(150,1),(160,1),(203,1),(206,1)}
       181:{3,4,6}:{(151,1),(152,1),(194,1),(199,1),(204,1)}
       182:{3,4,5,7}:{(151,1),(153,1),(195,1),(200,1),(204,1),(205,1),(208,1),(225,1)}
       183:{3,5,7}:{(152,1),(155,1),(204,1),(206,1)}
       184:{3,6}:{(153,1),(156,1)}
       185:{3,5,7}:{(154,1),(157,1),(207,1),(208,1)}
       186:{1,2,4,6,7}:{(155,1),(156,1),(158,1),(160,1),(198,1),(203,1),(206,1),(209,1),(221,1),(223,1),(227,1)}
       187:{1,2,5,6}:{(156,1),(157,1),(159,1),(161,1),(207,1),(222,1),(224,1)}
       188:{2,5,6,7}:{(158,1),(159,1),(162,1)}
       189:{1,5,6,7}:{(160,1),(161,1),(162,1)}
       190:{4,5,6,7}:{(162,1),(163,1),(227,1)}
       191:{1,3,7}:{(164,1),(165,1)}
       192:{2,3,6}:{(166,1),(167,1),(210,1)}
       193:{1,2,4,7}:{(167,1),(168,1),(178,1),(210,1),(214,1)}
       194:{1,4,6}:{(169,1),(170,1),(181,1),(211,1)}
       195:{1,4,5,7}:{(169,1),(171,1),(182,1),(211,1),(212,1),(228,1)}
       196:{1,3,5,7}:{(170,1),(172,1),(183,1),(191,1),(211,1),(213,1),(228,1)}
       197:{1,3,6}:{(171,1),(173,1),(184,1),(212,1)}
       198:{1,2,6,7}:{(172,1),(173,1),(174,1),(213,1)}
       199:{2,4,6}:{(175,1),(176,1),(181,1),(214,1)}
       200:{2,4,5,7}:{(175,1),(177,1),(182,1),(214,1),(215,1),(229,1)}
       201:{2,3,5,7}:{(176,1),(178,1),(183,1),(210,1),(214,1),(216,1),(229,1)}
       202:{2,3,6}:{(177,1),(179,1),(184,1),(215,1)}
       203:{1,2,6,7}:{(178,1),(179,1),(180,1),(216,1)}
       204:{3,4,7}:{(181,1),(183,1),(211,1),(214,1)}
       205:{3,4,6}:{(182,1),(184,1),(212,1),(215,1),(218,1),(220,1)}
       206:{3,6,7}:{(183,1),(184,1),(186,1)}
       207:{3,5,6}:{(184,1),(185,1),(187,1),(220,1)}
       208:{4,5,7}:{(185,1),(220,1)}
       209:{1,2,5,6,7}:{(186,1),(187,1),(188,1),(189,1),(219,1),(228,1),(229,1)}
       210:{2,3,7}:{(192,1),(193,1)}
       211:{1,4,7}:{(194,1),(196,1),(204,1)}
       212:{1,4,6}:{(195,1),(197,1),(205,1),(222,1)}
       213:{1,3,6,7}:{(196,1),(197,1),(198,1),(206,1),(221,1)}
       214:{2,4,7}:{(199,1),(201,1),(204,1)}
       215:{2,4,6}:{(200,1),(202,1),(205,1),(224,1)}
       216:{2,3,6,7}:{(201,1),(202,1),(203,1),(206,1),(223,1)}
       217:{3,4,6,7}:{(204,1),(205,1),(206,1),(221,1),(223,1),(225,1),(227,1)}
       218:{3,5,6}:{(205,1),(222,1),(224,1),(225,1),(226,1)}
       219:{3,5,6,7}:{(206,1),(207,1),(209,1),(225,1),(227,1)}
       220:{4,6}:{(207,1),(208,1)}
       221:{1,4,6,7}:{(211,1),(212,1),(213,1),(217,1),(228,1)}
       222:{1,5,6}:{(212,1),(218,1),(228,1)}
       223:{2,4,6,7}:{(214,1),(215,1),(216,1),(217,1),(229,1)}
       224:{2,5,6}:{(215,1),(218,1),(229,1)}
       225:{3,5,7}:{(217,1),(218,1),(228,1),(229,1),(230,1)}
       226:{4,5,6}:{(218,1),(220,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(225,1)}
       229:{2,5,7}:{(223,1),(224,1),(225,1)}
       230:{4,5,7}:{(225,1),(226,1),(227,1)}

 666 :  0:{1,2,6,7}:{(3,1),(5,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(38,1),(39,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(17,1),(23,1),(24,1),(25,1),(38,1),(39,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{3,5,6}:{(1,1),(9,1),(10,1),(12,1),(26,1),(28,1),(45,1)}
        5:{1,2,5,7}:{(0,1),(1,1),(9,1),(11,1),(46,1),(47,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(12,1),(30,1),(31,1),(34,1)}
        7:{3,5}:{(2,1),(12,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(18,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(18,1),(20,1)}
       10:{4,6}:{(4,1),(17,1),(18,1)}
       11:{1,2,4,7}:{(5,1),(6,1),(18,1),(20,1),(40,1),(41,1),(43,1)}
       12:{3,6}:{(6,1),(7,1),(20,1)}
       13:{3,4}:{(7,1),(23,1),(24,1),(44,1)}
       14:{1,3,5}:{(7,1),(21,1),(23,1),(25,1),(38,1),(44,1),(54,1)}
       15:{2,3,5}:{(7,1),(22,1),(24,1),(25,1),(39,1),(44,1),(54,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,5}:{(10,1),(28,1),(58,1)}
       18:{4,7}:{(9,1),(10,1)}
       19:{3,4,6}:{(10,1),(12,1),(13,1),(28,1),(29,1),(30,1),(31,1),(45,1),(50,1),(58,1),(61,1)}
       20:{3,7}:{(11,1),(12,1)}
       21:{1,3,6}:{(12,1),(14,1),(30,1),(32,1),(34,1),(50,1)}
       22:{2,3,6}:{(12,1),(15,1),(31,1),(33,1),(34,1),(50,1)}
       23:{1,4}:{(13,1),(14,1),(58,1)}
       24:{2,4}:{(13,1),(15,1),(58,1)}
       25:{1,2,5}:{(14,1),(15,1),(34,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(18,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,5}:{(17,1),(19,1),(38,1),(39,1),(62,1)}
       29:{3,4,7}:{(18,1),(19,1),(20,1),(37,1),(40,1),(41,1),(55,1),(60,1)}
       30:{1,4,6}:{(19,1),(21,1),(23,1),(38,1),(40,1),(51,1)}
       31:{2,4,6}:{(19,1),(22,1),(24,1),(39,1),(41,1),(52,1)}
       32:{1,3,7}:{(20,1),(21,1),(40,1),(43,1),(55,1)}
       33:{2,3,7}:{(20,1),(22,1),(41,1),(43,1),(55,1)}
       34:{1,2,6}:{(21,1),(22,1),(25,1),(43,1)}
       35:{1,2,4}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(45,1),(46,1),(47,1)}
       38:{1,5}:{(28,1),(30,1)}
       39:{2,5}:{(28,1),(31,1)}
       40:{1,4,7}:{(29,1),(30,1),(32,1),(46,1)}
       41:{2,4,7}:{(29,1),(31,1),(33,1),(47,1)}
       42:{1,2,4,6}:{(30,1),(31,1),(34,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       43:{1,2,7}:{(32,1),(33,1),(34,1)}
       44:{3}:{(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(40,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(41,1),(52,1)}
       48:{1,2,5}:{(38,1),(39,1),(42,1),(54,1),(62,1)}
       49:{1,2,4,7}:{(40,1),(41,1),(42,1),(43,1),(53,1),(55,1),(60,1)}
       50:{3,6}:{(42,1),(44,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,5}:{(48,1),(50,1),(58,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(54,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 667 :   0:{3,5,6,7}:{(2,1),(3,1),(4,1),(26,1),(28,1),(29,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(8,1),(29,1),(41,1),(42,1),(74,1),(78,1),(82,1),(142,1),(152,1)}
         2:{1,5,6,7}:{(0,1),(10,1),(52,1),(54,1)}
         3:{2,5,6,7}:{(0,1),(11,1),(50,1),(55,1)}
         4:{4,6,7}:{(0,1),(12,1)}
         5:{4,5,6}:{(12,1),(18,1),(125,1)}
         6:{3,4,6}:{(1,1),(18,1),(19,1),(20,1),(68,1),(125,1)}
         7:{1,4,5,7}:{(1,1),(15,1),(19,1),(54,1),(70,1),(103,1),(107,1),(111,1)}
         8:{2,4,5,7}:{(1,1),(17,1),(20,1),(55,1),(71,1),(104,1),(108,1),(112,1)}
         9:{1,3,4,7}:{(15,1),(22,1),(23,1),(69,1),(107,1),(156,1),(161,1),(196,1)}
        10:{1,4,6,7}:{(2,1),(4,1),(25,1),(26,1)}
        11:{2,4,6,7}:{(3,1),(4,1),(27,1),(28,1)}
        12:{4,5,7}:{(4,1),(5,1),(29,1),(142,1)}
        13:{3,4,6,7}:{(4,1),(6,1),(26,1),(28,1),(29,1),(30,1),(31,1),(78,1),(82,1),(87,1),(142,1)}
        14:{1,4,5,6}:{(5,1),(25,1),(32,1),(38,1),(88,1)}
        15:{1,3,5,7}:{(7,1),(9,1),(33,1),(34,1),(41,1),(43,1),(131,1),(138,1),(204,1)}
        16:{2,4,5,6}:{(5,1),(27,1),(35,1),(39,1),(94,1)}
        17:{2,3,5,7}:{(8,1),(24,1),(36,1),(37,1),(41,1),(75,1),(100,1),(134,1),(206,1)}
        18:{3,5,6}:{(5,1),(6,1),(29,1),(38,1),(39,1)}
        19:{1,4,6}:{(6,1),(7,1),(33,1),(38,1)}
        20:{2,4,6}:{(6,1),(8,1),(36,1),(39,1)}
        21:{1,2,4,5,7}:{(7,1),(8,1),(34,1),(37,1),(40,1),(41,1),(86,1),(92,1),(97,1),(101,1),(132,1),(135,1),(139,1),(142,1),(147,1),(151,1),(152,1),(183,1),(187,1),(204,1),(206,1)}
        22:{1,3,4,6}:{(9,1),(33,1),(43,1),(44,1),(88,1),(99,1),(145,1),(155,1),(190,1)}
        23:{1,2,4,7}:{(9,1),(34,1),(44,1),(45,1),(92,1),(178,1)}
        24:{2,3,4,7}:{(17,1),(46,1),(47,1),(69,1),(112,1),(127,1),(165,1),(199,1)}
        25:{1,4,5,7}:{(10,1),(12,1),(14,1),(48,1),(54,1),(107,1)}
        26:{3,6,7}:{(10,1),(48,1),(50,1)}
        27:{2,4,5,7}:{(11,1),(12,1),(16,1),(51,1),(55,1),(112,1)}
        28:{3,6,7}:{(11,1),(51,1),(52,1)}
        29:{3,5,7}:{(12,1),(13,1),(18,1),(54,1),(55,1)}
        30:{1,4,6,7}:{(13,1),(19,1),(49,1),(52,1),(54,1),(107,1),(111,1)}
        31:{2,4,6,7}:{(13,1),(20,1),(50,1),(53,1),(55,1),(108,1),(112,1)}
        32:{3,5,6}:{(14,1),(48,1),(57,1),(59,1)}
        33:{1,3,6}:{(15,1),(19,1),(60,1),(68,1),(208,1)}
        34:{1,2,5,7}:{(15,1),(23,1),(60,1),(61,1),(72,1),(157,1),(164,1)}
        35:{3,5,6}:{(16,1),(51,1),(62,1),(63,1)}
        36:{2,3,6}:{(17,1),(20,1),(65,1),(68,1),(209,1)}
        37:{1,2,5,7}:{(17,1),(47,1),(65,1),(66,1),(105,1),(128,1),(160,1)}
        38:{1,5,6}:{(18,1),(19,1),(54,1)}
        39:{2,5,6}:{(18,1),(20,1),(55,1)}
        40:{1,2,4,6}:{(19,1),(20,1),(21,1),(60,1),(65,1),(67,1),(68,1),(120,1),(124,1),(125,1),(198,1),(201,1),(208,1),(209,1)}
        41:{3,5,7}:{(21,1),(68,1),(69,1),(126,1),(129,1),(158,1),(161,1),(165,1)}
        42:{3,4,5}:{(57,1),(70,1),(71,1),(129,1)}
        43:{1,3,5}:{(22,1),(70,1),(72,1),(126,1),(129,1),(202,1)}
        44:{1,2,4,6}:{(22,1),(23,1),(60,1),(72,1),(73,1),(120,1),(130,1)}
        45:{2,3,7}:{(23,1),(73,1),(161,1),(194,1)}
        46:{2,3,4,6}:{(24,1),(36,1),(75,1),(76,1),(94,1),(99,1),(149,1),(180,1),(192,1)}
        47:{1,2,4,7}:{(24,1),(37,1),(76,1),(77,1),(97,1),(153,1)}
        48:{3,5,7}:{(25,1),(26,1),(32,1),(78,1),(80,1)}
        49:{1,3,6,7}:{(26,1),(30,1),(33,1),(79,1),(81,1),(87,1),(138,1)}
        50:{2,6,7}:{(26,1),(80,1)}
        51:{3,5,7}:{(27,1),(28,1),(35,1),(82,1),(83,1)}
        52:{1,6,7}:{(28,1),(83,1)}
        53:{2,3,6,7}:{(28,1),(31,1),(36,1),(84,1),(85,1),(87,1),(134,1)}
        54:{1,5,7}:{(29,1),(30,1),(38,1)}
        55:{2,5,7}:{(29,1),(31,1),(39,1)}
        56:{1,2,4,6,7}:{(30,1),(31,1),(40,1),(81,1),(85,1),(86,1),(87,1),(135,1),(137,1),(139,1),(141,1),(142,1)}
        57:{3,4,6}:{(32,1),(42,1),(78,1),(88,1),(89,1),(145,1)}
        58:{1,3,5,6}:{(32,1),(33,1),(38,1),(43,1),(79,1),(88,1),(90,1),(98,1),(145,1)}
        59:{2,5,6}:{(32,1),(80,1),(89,1)}
        60:{1,2,6}:{(33,1),(34,1),(91,1)}
        61:{2,3,5,7}:{(34,1),(41,1),(45,1),(91,1),(92,1),(102,1),(147,1),(179,1),(185,1),(206,1)}
        62:{3,4,6}:{(35,1),(74,1),(82,1),(93,1),(94,1),(149,1)}
        63:{1,5,6}:{(35,1),(83,1),(93,1)}
        64:{2,3,5,6}:{(35,1),(36,1),(39,1),(75,1),(84,1),(94,1),(95,1),(98,1),(149,1)}
        65:{1,2,6}:{(36,1),(37,1),(96,1)}
        66:{1,3,5,7}:{(37,1),(41,1),(77,1),(96,1),(97,1),(133,1),(151,1),(154,1),(181,1),(204,1)}
        67:{1,2,5,6}:{(38,1),(39,1),(40,1),(86,1),(98,1),(147,1),(151,1),(184,1),(188,1)}
        68:{3,6}:{(40,1),(41,1)}
        69:{3,4,7}:{(41,1),(92,1),(97,1),(99,1),(142,1),(155,1),(180,1)}
        70:{1,4,5}:{(42,1),(43,1),(88,1),(152,1)}
        71:{2,4,5}:{(42,1),(89,1),(100,1)}
        72:{1,2,5}:{(43,1),(44,1),(102,1),(147,1)}
        73:{2,3,6}:{(44,1),(45,1),(102,1),(145,1)}
        74:{3,4,5}:{(62,1),(103,1),(104,1),(158,1)}
        75:{2,3,5}:{(46,1),(104,1),(105,1),(126,1),(158,1),(203,1)}
        76:{1,2,4,6}:{(46,1),(47,1),(65,1),(105,1),(106,1),(124,1),(159,1)}
        77:{1,3,7}:{(47,1),(106,1),(165,1),(176,1)}
        78:{3,4,7}:{(48,1),(57,1),(107,1),(108,1),(161,1)}
        79:{1,3,5,7}:{(48,1),(49,1),(54,1),(58,1),(107,1),(109,1),(115,1),(161,1)}
        80:{2,5,7}:{(48,1),(50,1),(59,1),(108,1)}
        81:{1,2,6,7}:{(49,1),(50,1),(60,1),(109,1),(110,1),(164,1),(208,1)}
        82:{3,4,7}:{(51,1),(62,1),(111,1),(112,1),(165,1)}
        83:{1,5,7}:{(51,1),(52,1),(63,1),(111,1)}
        84:{2,3,5,7}:{(51,1),(53,1),(55,1),(64,1),(112,1),(113,1),(115,1),(165,1)}
        85:{1,2,6,7}:{(52,1),(53,1),(65,1),(113,1),(114,1),(160,1),(209,1)}
        86:{1,2,5,7}:{(54,1),(55,1),(56,1),(67,1),(115,1),(163,1),(167,1)}
        87:{3,6,7}:{(56,1),(68,1),(115,1),(161,1),(165,1)}
        88:{1,4,6}:{(57,1),(58,1),(70,1),(107,1),(125,1)}
        89:{2,4,6}:{(57,1),(59,1),(71,1),(108,1),(117,1)}
        90:{1,2,5,6}:{(58,1),(59,1),(60,1),(72,1),(109,1),(118,1),(119,1),(202,1),(208,1)}
        91:{2,3,6}:{(60,1),(61,1),(68,1),(120,1),(209,1)}
        92:{2,4,7}:{(61,1),(69,1),(120,1),(130,1),(195,1)}
        93:{1,4,6}:{(62,1),(63,1),(103,1),(111,1),(121,1)}
        94:{2,4,6}:{(62,1),(64,1),(104,1),(112,1),(125,1)}
        95:{1,2,5,6}:{(63,1),(64,1),(65,1),(105,1),(113,1),(122,1),(123,1),(203,1),(209,1)}
        96:{1,3,6}:{(65,1),(66,1),(68,1),(124,1),(208,1)}
        97:{1,4,7}:{(66,1),(69,1),(124,1),(159,1),(177,1)}
        98:{3,5,6}:{(67,1),(68,1),(115,1),(125,1),(126,1)}
        99:{3,4,6}:{(68,1),(69,1),(120,1),(124,1),(125,1),(126,1)}
       100:{2,3,5}:{(71,1),(117,1),(127,1),(128,1),(129,1)}
       101:{1,2,4,5}:{(70,1),(71,1),(72,1),(118,1),(128,1),(129,1),(130,1),(172,1),(177,1),(202,1)}
       102:{2,3,5}:{(72,1),(73,1),(129,1),(130,1)}
       103:{1,4,5}:{(74,1),(93,1),(131,1)}
       104:{2,4,5}:{(74,1),(75,1),(94,1),(152,1)}
       105:{1,2,5}:{(75,1),(76,1),(133,1),(151,1)}
       106:{1,3,6}:{(76,1),(77,1),(133,1),(149,1)}
       107:{1,4,7}:{(78,1),(79,1),(88,1),(142,1)}
       108:{2,4,7}:{(78,1),(80,1),(89,1),(134,1)}
       109:{1,2,5,7}:{(79,1),(80,1),(81,1),(90,1),(135,1),(136,1),(204,1)}
       110:{2,3,6,7}:{(81,1),(87,1),(91,1),(136,1),(137,1),(185,1),(205,1)}
       111:{1,4,7}:{(82,1),(83,1),(93,1),(138,1)}
       112:{2,4,7}:{(82,1),(84,1),(94,1),(142,1)}
       113:{1,2,5,7}:{(83,1),(84,1),(85,1),(95,1),(139,1),(140,1),(206,1)}
       114:{1,3,6,7}:{(85,1),(87,1),(96,1),(140,1),(141,1),(181,1),(207,1)}
       115:{3,5,7}:{(86,1),(87,1),(98,1),(142,1)}
       116:{3,4,6,7}:{(87,1),(99,1),(137,1),(141,1),(142,1),(143,1),(182,1),(186,1),(189,1),(205,1),(207,1)}
       117:{2,3,6}:{(89,1),(100,1),(134,1),(144,1),(145,1)}
       118:{1,2,4,6}:{(88,1),(89,1),(90,1),(101,1),(135,1),(144,1),(145,1),(146,1),(190,1)}
       119:{2,3,5,6}:{(90,1),(91,1),(98,1),(102,1),(136,1),(145,1),(146,1),(147,1),(184,1),(191,1),(205,1)}
       120:{2,4,6}:{(91,1),(92,1),(99,1),(147,1)}
       121:{1,3,6}:{(93,1),(131,1),(138,1),(148,1),(149,1)}
       122:{1,2,4,6}:{(93,1),(94,1),(95,1),(132,1),(139,1),(148,1),(149,1),(150,1),(192,1)}
       123:{1,3,5,6}:{(95,1),(96,1),(98,1),(133,1),(140,1),(149,1),(150,1),(151,1),(188,1),(193,1),(207,1)}
       124:{1,4,6}:{(96,1),(97,1),(99,1),(151,1)}
       125:{4,6}:{(98,1),(142,1),(152,1)}
       126:{3,5}:{(99,1),(147,1),(151,1),(152,1)}
       127:{2,3,4}:{(100,1),(153,1),(155,1)}
       128:{1,2,5}:{(100,1),(144,1),(153,1),(154,1)}
       129:{3,5}:{(101,1),(145,1),(155,1)}
       130:{2,4}:{(102,1),(155,1)}
       131:{1,3,5}:{(103,1),(121,1),(156,1),(157,1),(158,1)}
       132:{1,2,4,5}:{(103,1),(104,1),(105,1),(122,1),(157,1),(158,1),(159,1),(175,1),(195,1),(203,1)}
       133:{1,3,5}:{(105,1),(106,1),(158,1),(159,1)}
       134:{2,3,7}:{(108,1),(117,1),(160,1),(161,1)}
       135:{1,2,4,7}:{(107,1),(108,1),(109,1),(118,1),(160,1),(161,1),(162,1),(196,1)}
       136:{2,3,5,7}:{(109,1),(110,1),(115,1),(119,1),(161,1),(162,1),(163,1),(197,1)}
       137:{2,4,6,7}:{(110,1),(116,1),(120,1),(162,1),(163,1),(198,1),(199,1),(209,1)}
       138:{1,3,7}:{(111,1),(121,1),(164,1),(165,1)}
       139:{1,2,4,7}:{(111,1),(112,1),(113,1),(122,1),(164,1),(165,1),(166,1),(199,1)}
       140:{1,3,5,7}:{(113,1),(114,1),(115,1),(123,1),(165,1),(166,1),(167,1),(200,1)}
       141:{1,4,6,7}:{(114,1),(116,1),(124,1),(166,1),(167,1),(196,1),(201,1),(208,1)}
       142:{4,7}:{(115,1),(125,1)}
       143:{3,5,7}:{(116,1),(126,1),(163,1),(167,1),(168,1),(169,1)}
       144:{1,2,6}:{(117,1),(128,1),(160,1),(170,1)}
       145:{3,6}:{(118,1),(129,1),(161,1)}
       146:{2,4,6}:{(119,1),(125,1),(130,1),(162,1),(171,1),(172,1)}
       147:{2,5}:{(120,1),(126,1)}
       148:{1,2,6}:{(121,1),(157,1),(164,1),(173,1)}
       149:{3,6}:{(122,1),(158,1),(165,1)}
       150:{1,4,6}:{(123,1),(125,1),(159,1),(166,1),(174,1),(175,1)}
       151:{1,5}:{(124,1),(126,1)}
       152:{4,5}:{(125,1),(126,1)}
       153:{1,2,4}:{(127,1),(128,1),(176,1),(177,1)}
       154:{1,3,5}:{(128,1),(129,1),(170,1),(176,1),(177,1),(202,1)}
       155:{3,4}:{(129,1),(130,1),(177,1)}
       156:{1,3,4}:{(131,1),(178,1),(180,1)}
       157:{1,2,5}:{(131,1),(148,1),(178,1),(179,1)}
       158:{3,5}:{(132,1),(149,1),(180,1)}
       159:{1,4}:{(133,1),(180,1)}
       160:{1,2,7}:{(134,1),(144,1),(181,1)}
       161:{3,7}:{(135,1),(145,1)}
       162:{2,4,7}:{(136,1),(142,1),(146,1),(182,1)}
       163:{2,5,7}:{(137,1),(143,1),(147,1),(184,1)}
       164:{1,2,7}:{(138,1),(148,1),(185,1)}
       165:{3,7}:{(139,1),(149,1)}
       166:{1,4,7}:{(140,1),(142,1),(150,1),(186,1)}
       167:{1,5,7}:{(141,1),(143,1),(151,1),(188,1)}
       168:{4,5,7}:{(142,1),(143,1),(152,1),(189,1)}
       169:{3,5,6}:{(143,1),(184,1),(188,1),(189,1),(205,1),(207,1)}
       170:{1,3,6}:{(144,1),(145,1),(154,1),(181,1),(190,1)}
       171:{3,4,6}:{(145,1),(146,1),(155,1),(182,1),(190,1),(191,1),(205,1)}
       172:{2,4,5}:{(146,1),(147,1),(152,1),(191,1)}
       173:{2,3,6}:{(148,1),(149,1),(179,1),(185,1),(192,1)}
       174:{3,4,6}:{(149,1),(150,1),(180,1),(186,1),(192,1),(193,1),(207,1)}
       175:{1,4,5}:{(150,1),(151,1),(152,1),(193,1)}
       176:{1,3}:{(153,1)}
       177:{1,4}:{(154,1),(155,1)}
       178:{1,2,4}:{(156,1),(157,1),(194,1),(195,1)}
       179:{2,3,5}:{(157,1),(158,1),(173,1),(194,1),(195,1),(203,1)}
       180:{3,4}:{(158,1),(159,1),(195,1)}
       181:{1,3,7}:{(160,1),(161,1),(170,1),(196,1)}
       182:{3,4,7}:{(161,1),(162,1),(171,1),(196,1),(197,1)}
       183:{2,4,5,7}:{(162,1),(163,1),(168,1),(172,1),(197,1),(198,1)}
       184:{2,5,6}:{(163,1),(169,1),(198,1),(209,1)}
       185:{2,3,7}:{(164,1),(165,1),(173,1),(199,1)}
       186:{3,4,7}:{(165,1),(166,1),(174,1),(199,1),(200,1)}
       187:{1,4,5,7}:{(166,1),(167,1),(168,1),(175,1),(200,1),(201,1)}
       188:{1,5,6}:{(167,1),(169,1),(201,1),(208,1)}
       189:{4,6}:{(168,1),(169,1)}
       190:{1,4,6}:{(170,1),(171,1),(177,1),(196,1),(202,1),(208,1)}
       191:{3,5}:{(171,1),(172,1),(202,1)}
       192:{2,4,6}:{(173,1),(174,1),(195,1),(199,1),(203,1),(209,1)}
       193:{3,5}:{(174,1),(175,1),(203,1)}
       194:{2,3}:{(178,1)}
       195:{2,4}:{(179,1),(180,1)}
       196:{1,4,7}:{(181,1),(182,1),(190,1),(204,1)}
       197:{3,5,7}:{(182,1),(183,1),(191,1),(204,1),(205,1)}
       198:{2,4,6}:{(183,1),(184,1),(189,1),(205,1)}
       199:{2,4,7}:{(185,1),(186,1),(192,1),(206,1)}
       200:{3,5,7}:{(186,1),(187,1),(193,1),(206,1),(207,1)}
       201:{1,4,6}:{(187,1),(188,1),(189,1),(207,1)}
       202:{1,5}:{(190,1),(191,1)}
       203:{2,5}:{(192,1),(193,1)}
       204:{1,5,7}:{(196,1),(197,1),(202,1),(208,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{2,5,7}:{(199,1),(200,1),(203,1),(209,1)}
       207:{3,6}:{(200,1),(201,1),(209,1)}
       208:{1,6}:{(204,1),(205,1)}
       209:{2,6}:{(206,1),(207,1)}

 668 :   0:{1,2,4,5,7}:{(1,1),(2,1),(10,1),(11,1),(12,1),(14,1),(36,1),(39,1),(40,1),(41,1),(65,1),(66,1),(67,1),(71,1),(99,1),(100,1)}
         1:{3,5,7}:{(0,1),(4,1),(7,1),(25,1),(84,1),(88,1)}
         2:{1,2,4,6}:{(0,1),(7,1),(8,1),(23,1),(24,1),(26,1),(29,1),(78,1),(79,1),(109,1),(110,1)}
         3:{1,2,4,6,7}:{(2,1),(9,1),(10,1),(30,1),(31,1),(33,1),(36,1),(67,1),(134,1)}
         4:{3,4,7}:{(1,1),(11,1),(12,1),(13,1),(36,1),(37,1),(103,1)}
         5:{1,3,5,7}:{(1,1),(11,1),(14,1),(15,1),(37,1),(39,1),(70,1),(100,1),(101,1),(104,1)}
         6:{2,3,5,7}:{(1,1),(12,1),(14,1),(16,1),(37,1),(40,1),(70,1),(99,1),(102,1),(105,1)}
         7:{3,6}:{(1,1),(2,1)}
         8:{1,2,5,6}:{(2,1),(10,1),(17,1),(39,1),(40,1),(60,1),(61,1)}
         9:{3,6,7}:{(3,1),(7,1),(21,1),(84,1),(137,1)}
        10:{1,2,5,7}:{(3,1),(8,1),(21,1),(47,1),(48,1),(136,1)}
        11:{1,4,7}:{(4,1),(5,1),(23,1),(87,1),(115,1)}
        12:{2,4,7}:{(4,1),(6,1),(24,1),(87,1),(116,1)}
        13:{3,4,6}:{(4,1),(7,1),(23,1),(24,1),(25,1),(29,1),(53,1),(87,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(22,1),(26,1),(54,1),(114,1),(117,1)}
        15:{1,3,6}:{(5,1),(7,1),(23,1),(26,1),(53,1),(110,1)}
        16:{2,3,6}:{(6,1),(7,1),(24,1),(26,1),(53,1),(109,1)}
        17:{3,5,6}:{(7,1),(8,1),(21,1),(25,1),(29,1)}
        18:{3,4,6,7}:{(9,1),(13,1),(30,1),(31,1),(32,1),(36,1),(62,1),(63,1),(68,1),(69,1),(95,1),(96,1),(97,1),(119,1)}
        19:{1,3,6,7}:{(9,1),(15,1),(30,1),(33,1),(34,1),(63,1),(95,1),(101,1),(120,1)}
        20:{2,3,6,7}:{(9,1),(16,1),(31,1),(33,1),(35,1),(63,1),(96,1),(102,1),(121,1)}
        21:{3,5,7}:{(9,1),(10,1),(17,1),(36,1),(138,1)}
        22:{1,2,4,7}:{(11,1),(12,1),(14,1),(37,1),(38,1),(125,1)}
        23:{1,4,6}:{(11,1),(13,1),(15,1),(39,1)}
        24:{2,4,6}:{(12,1),(13,1),(16,1),(40,1)}
        25:{3,5}:{(13,1),(39,1),(40,1),(41,1)}
        26:{1,2,6}:{(14,1),(15,1),(16,1)}
        27:{1,3,5,6}:{(15,1),(17,1),(34,1),(39,1),(42,1),(43,1),(60,1),(70,1),(72,1),(74,1),(93,1),(95,1),(104,1),(120,1),(132,1),(138,1)}
        28:{2,3,5,6}:{(16,1),(17,1),(35,1),(40,1),(42,1),(44,1),(61,1),(70,1),(73,1),(74,1),(93,1),(96,1),(105,1),(121,1),(133,1),(138,1)}
        29:{4,6}:{(17,1),(36,1),(41,1)}
        30:{1,4,6,7}:{(18,1),(19,1),(23,1),(47,1),(51,1),(78,1),(86,1),(110,1),(127,1)}
        31:{2,4,6,7}:{(18,1),(20,1),(24,1),(48,1),(52,1),(79,1),(85,1),(109,1),(128,1)}
        32:{3,5,7}:{(18,1),(25,1),(45,1),(47,1),(48,1),(49,1),(126,1)}
        33:{1,2,6,7}:{(19,1),(20,1),(26,1),(50,1),(109,1),(110,1),(114,1),(129,1)}
        34:{1,3,5,7}:{(19,1),(21,1),(27,1),(47,1),(50,1),(51,1),(80,1),(82,1),(84,1)}
        35:{2,3,5,7}:{(20,1),(21,1),(28,1),(48,1),(50,1),(52,1),(80,1),(83,1),(84,1)}
        36:{4,7}:{(21,1),(29,1),(139,1)}
        37:{3,7}:{(22,1),(53,1),(131,1)}
        38:{1,2,4,6}:{(22,1),(23,1),(24,1),(26,1),(53,1),(54,1),(87,1)}
        39:{1,5}:{(23,1),(25,1)}
        40:{2,5}:{(24,1),(25,1)}
        41:{4,5}:{(25,1),(29,1),(87,1)}
        42:{1,2,5,6}:{(26,1),(27,1),(28,1),(50,1),(54,1),(57,1),(89,1),(90,1),(109,1),(110,1),(117,1),(129,1),(136,1)}
        43:{1,4,6}:{(27,1),(29,1),(51,1),(55,1),(58,1),(87,1),(107,1),(115,1),(139,1)}
        44:{2,4,6}:{(28,1),(29,1),(52,1),(56,1),(59,1),(87,1),(107,1),(116,1),(139,1)}
        45:{3,5,6}:{(32,1),(60,1),(61,1),(62,1),(95,1),(96,1)}
        46:{1,2,4,6,7}:{(30,1),(31,1),(33,1),(38,1),(63,1),(64,1),(67,1),(94,1),(97,1)}
        47:{1,5,7}:{(30,1),(32,1),(39,1),(60,1),(132,1)}
        48:{2,5,7}:{(31,1),(32,1),(40,1),(61,1),(133,1)}
        49:{4,5,7}:{(32,1),(36,1),(41,1),(62,1),(97,1),(118,1)}
        50:{1,2,5,7}:{(33,1),(34,1),(35,1),(42,1),(67,1),(99,1),(100,1)}
        51:{1,4,7}:{(34,1),(36,1),(43,1),(68,1),(97,1)}
        52:{2,4,7}:{(35,1),(36,1),(44,1),(69,1),(97,1)}
        53:{3,6}:{(37,1),(38,1),(70,1)}
        54:{1,2,5}:{(38,1),(39,1),(40,1),(70,1)}
        55:{1,4,5}:{(39,1),(41,1),(43,1),(72,1),(118,1),(132,1)}
        56:{2,4,5}:{(40,1),(41,1),(44,1),(73,1),(118,1),(133,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(44,1),(67,1),(71,1),(74,1),(75,1),(76,1),(106,1),(125,1)}
        58:{3,4,6}:{(43,1),(68,1),(72,1),(74,1),(75,1),(95,1),(103,1)}
        59:{3,4,6}:{(44,1),(69,1),(73,1),(74,1),(76,1),(96,1),(103,1)}
        60:{1,5,6}:{(45,1),(47,1),(78,1),(110,1)}
        61:{2,5,6}:{(45,1),(48,1),(79,1),(109,1)}
        62:{4,6}:{(45,1),(49,1)}
        63:{3,6,7}:{(46,1),(53,1),(80,1),(84,1),(108,1)}
        64:{1,2,5,7}:{(46,1),(47,1),(48,1),(54,1),(77,1),(80,1)}
        65:{1,4,5,7}:{(47,1),(49,1),(51,1),(55,1),(78,1),(82,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(52,1),(56,1),(79,1),(83,1)}
        67:{1,2,4,7}:{(50,1),(51,1),(52,1),(57,1),(84,1),(85,1),(86,1),(114,1)}
        68:{3,4,7}:{(51,1),(58,1),(82,1),(84,1),(85,1)}
        69:{3,4,7}:{(52,1),(59,1),(83,1),(84,1),(86,1)}
        70:{3,5}:{(53,1),(54,1),(87,1)}
        71:{1,2,4,5}:{(54,1),(55,1),(56,1),(57,1),(87,1),(88,1),(89,1),(90,1),(115,1),(116,1),(117,1),(136,1),(139,1)}
        72:{3,5}:{(55,1),(58,1),(89,1)}
        73:{3,5}:{(56,1),(59,1),(90,1)}
        74:{3,6}:{(57,1),(84,1),(88,1),(131,1)}
        75:{2,4,6}:{(58,1),(85,1),(89,1),(92,1),(109,1),(116,1)}
        76:{1,4,6}:{(59,1),(86,1),(90,1),(91,1),(110,1),(115,1)}
        77:{1,2,5,6}:{(60,1),(61,1),(64,1),(93,1),(94,1),(132,1),(133,1)}
        78:{1,4,6}:{(60,1),(62,1),(65,1),(95,1)}
        79:{2,4,6}:{(61,1),(62,1),(66,1),(96,1)}
        80:{3,5,7}:{(63,1),(64,1),(70,1),(93,1),(97,1)}
        81:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(67,1),(71,1),(94,1),(97,1),(98,1),(99,1),(100,1),(118,1),(122,1),(123,1),(124,1),(132,1),(133,1)}
        82:{3,5,7}:{(65,1),(68,1),(72,1),(95,1),(99,1)}
        83:{3,5,7}:{(66,1),(69,1),(73,1),(96,1),(100,1)}
        84:{3,7}:{(67,1),(74,1)}
        85:{2,4,7}:{(68,1),(75,1),(99,1),(102,1)}
        86:{1,4,7}:{(69,1),(76,1),(100,1),(101,1)}
        87:{4}:{(70,1)}
        88:{3,5}:{(71,1),(74,1),(103,1)}
        89:{2,5}:{(72,1),(75,1)}
        90:{1,5}:{(73,1),(76,1)}
        91:{1,3,6}:{(74,1),(76,1),(101,1),(104,1),(106,1)}
        92:{2,3,6}:{(74,1),(75,1),(102,1),(105,1),(106,1)}
        93:{3,5,6}:{(77,1),(80,1),(107,1),(108,1),(126,1)}
        94:{1,2,4,6}:{(77,1),(78,1),(79,1),(81,1),(107,1),(108,1),(109,1),(110,1),(127,1),(128,1),(129,1)}
        95:{3,6}:{(78,1),(82,1),(109,1)}
        96:{3,6}:{(79,1),(83,1),(110,1)}
        97:{4,7}:{(80,1),(87,1),(107,1)}
        98:{3,5,7}:{(81,1),(84,1),(88,1),(108,1),(111,1),(126,1)}
        99:{2,5,7}:{(82,1),(85,1),(89,1),(109,1)}
       100:{1,5,7}:{(83,1),(86,1),(90,1),(110,1)}
       101:{1,3,7}:{(84,1),(86,1),(91,1),(114,1)}
       102:{2,3,7}:{(84,1),(85,1),(92,1),(114,1)}
       103:{3,4}:{(87,1),(88,1),(115,1),(116,1),(131,1),(139,1)}
       104:{1,3,5}:{(88,1),(90,1),(91,1),(115,1),(117,1),(131,1)}
       105:{2,3,5}:{(88,1),(89,1),(92,1),(116,1),(117,1),(131,1)}
       106:{1,2,6}:{(91,1),(92,1),(114,1),(117,1)}
       107:{4,6}:{(93,1),(97,1),(118,1)}
       108:{3,6}:{(94,1),(98,1)}
       109:{2,6}:{(95,1),(99,1)}
       110:{1,6}:{(96,1),(100,1)}
       111:{3,4,7}:{(97,1),(98,1),(103,1),(119,1),(122,1),(123,1),(135,1)}
       112:{1,3,5,7}:{(98,1),(100,1),(101,1),(104,1),(120,1),(122,1),(124,1),(132,1),(135,1),(138,1)}
       113:{2,3,5,7}:{(98,1),(99,1),(102,1),(105,1),(121,1),(123,1),(124,1),(133,1),(135,1),(138,1)}
       114:{1,2,7}:{(101,1),(102,1),(106,1)}
       115:{1,4}:{(103,1),(104,1)}
       116:{2,4}:{(103,1),(105,1)}
       117:{1,2,5}:{(104,1),(105,1),(106,1),(125,1)}
       118:{4,5}:{(107,1),(126,1),(139,1)}
       119:{3,4,6}:{(107,1),(108,1),(111,1),(126,1),(127,1),(128,1),(137,1),(139,1)}
       120:{1,3,6}:{(108,1),(110,1),(112,1),(127,1),(129,1),(137,1)}
       121:{2,3,6}:{(108,1),(109,1),(113,1),(128,1),(129,1),(137,1)}
       122:{1,4,7}:{(111,1),(112,1),(115,1),(127,1),(139,1)}
       123:{2,4,7}:{(111,1),(113,1),(116,1),(128,1),(139,1)}
       124:{1,2,5,7}:{(112,1),(113,1),(114,1),(117,1),(129,1),(130,1),(136,1)}
       125:{1,2,4}:{(115,1),(116,1),(117,1),(131,1)}
       126:{3,5}:{(118,1),(119,1),(132,1),(133,1)}
       127:{1,4,6}:{(119,1),(120,1),(122,1),(132,1)}
       128:{2,4,6}:{(119,1),(121,1),(123,1),(133,1)}
       129:{1,2,6}:{(120,1),(121,1),(124,1)}
       130:{1,2,4,7}:{(122,1),(123,1),(124,1),(125,1),(134,1),(135,1)}
       131:{3}:{(125,1)}
       132:{1,5}:{(126,1),(127,1)}
       133:{2,5}:{(126,1),(128,1)}
       134:{1,2,4,6}:{(127,1),(128,1),(129,1),(130,1),(136,1),(137,1),(139,1)}
       135:{3,7}:{(130,1),(131,1),(137,1)}
       136:{1,2,5}:{(132,1),(133,1),(134,1),(138,1)}
       137:{3,6}:{(134,1),(135,1),(138,1)}
       138:{3,5}:{(136,1),(137,1),(139,1)}
       139:{4}:{(138,1)}

 669 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(11,1),(19,1),(39,1),(45,1),(85,1),(98,1)}
         1:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(27,1),(31,1),(72,1)}
         2:{2,3,5}:{(0,1),(6,1),(8,1),(29,1),(108,1),(124,1)}
         3:{2,3,4,7}:{(0,1),(7,1),(9,1),(25,1),(64,1),(71,1),(111,1),(206,1)}
         4:{2,3,5,6}:{(2,1),(10,1),(11,1),(12,1),(19,1),(35,1),(39,1),(54,1),(103,1)}
         5:{1,3,6}:{(1,1),(13,1),(14,1),(39,1)}
         6:{1,2,5}:{(1,1),(2,1),(13,1),(99,1)}
         7:{1,2,4,7}:{(1,1),(3,1),(14,1),(16,1),(46,1),(208,1)}
         8:{2,4,5}:{(2,1),(11,1),(17,1),(146,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(16,1),(18,1),(19,1),(50,1),(132,1),(198,1),(201,1)}
        10:{1,2,5,6}:{(4,1),(6,1),(21,1),(22,1),(23,1),(31,1),(55,1),(108,1),(152,1)}
        11:{2,4,6}:{(4,1),(8,1),(24,1),(25,1),(128,1)}
        12:{2,3,5,7}:{(4,1),(23,1),(25,1),(26,1),(56,1),(64,1),(68,1),(117,1)}
        13:{1,3,5}:{(5,1),(6,1),(27,1),(29,1)}
        14:{1,3,7}:{(5,1),(7,1),(64,1),(209,1)}
        15:{1,2,4,5}:{(6,1),(8,1),(22,1),(27,1),(29,1),(32,1),(58,1),(70,1),(73,1),(108,1)}
        16:{1,2,5,7}:{(6,1),(7,1),(9,1),(28,1),(31,1),(204,1),(207,1)}
        17:{3,4,5}:{(8,1),(24,1),(29,1),(32,1)}
        18:{2,4,5,7}:{(8,1),(9,1),(25,1),(33,1),(34,1),(68,1),(187,1),(191,1)}
        19:{2,3,6}:{(9,1),(31,1),(34,1),(76,1),(152,1)}
        20:{2,4,5,6}:{(11,1),(35,1),(36,1),(54,1),(105,1)}
        21:{1,3,5,6}:{(10,1),(13,1),(37,1),(38,1),(39,1),(47,1),(83,1),(99,1),(103,1),(133,1),(134,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(15,1),(37,1),(39,1),(40,1),(42,1),(85,1),(88,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(38,1),(40,1),(41,1),(80,1),(132,1)}
        24:{3,4,6}:{(11,1),(17,1),(35,1),(39,1),(42,1),(43,1)}
        25:{2,4,7}:{(11,1),(12,1),(43,1),(140,1)}
        26:{2,3,6,7}:{(12,1),(19,1),(41,1),(44,1),(81,1),(91,1),(198,1)}
        27:{1,4}:{(13,1),(45,1)}
        28:{1,3,5,7}:{(13,1),(14,1),(16,1),(46,1),(47,1),(50,1),(99,1),(196,1),(197,1),(200,1)}
        29:{3,5}:{(15,1),(39,1),(45,1)}
        30:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(40,1),(46,1),(50,1),(51,1),(52,1),(84,1),(92,1),(97,1),(99,1),(100,1),(132,1),(140,1),(145,1),(146,1),(171,1),(172,1),(177,1),(196,1)}
        31:{1,2,6}:{(16,1),(19,1),(47,1)}
        32:{1,4,5}:{(17,1),(42,1),(48,1)}
        33:{3,4,5,7}:{(17,1),(18,1),(43,1),(50,1),(52,1),(53,1),(94,1),(140,1),(146,1),(173,1),(178,1)}
        34:{2,4,6}:{(18,1),(19,1),(53,1),(54,1)}
        35:{3,5,6}:{(20,1),(24,1),(55,1),(56,1)}
        36:{2,4,5,7}:{(20,1),(25,1),(56,1),(57,1),(68,1),(119,1)}
        37:{1,4,6}:{(21,1),(27,1),(58,1),(59,1),(60,1),(128,1)}
        38:{1,3,5,7}:{(21,1),(23,1),(60,1),(61,1),(64,1),(109,1),(113,1),(117,1)}
        39:{3,6}:{(22,1),(29,1),(64,1)}
        40:{1,2,4,7}:{(22,1),(23,1),(25,1),(60,1),(64,1),(66,1),(111,1),(114,1)}
        41:{1,2,6,7}:{(23,1),(26,1),(31,1),(61,1),(106,1),(152,1),(204,1)}
        42:{1,4,6}:{(24,1),(32,1),(55,1),(62,1),(66,1)}
        43:{3,4,7}:{(24,1),(25,1),(56,1),(64,1),(66,1)}
        44:{2,4,6,7}:{(25,1),(26,1),(34,1),(67,1),(68,1),(183,1),(187,1)}
        45:{3,4}:{(27,1),(29,1),(70,1)}
        46:{1,4,7}:{(27,1),(28,1),(71,1),(72,1),(205,1)}
        47:{1,3,6}:{(28,1),(31,1),(72,1),(76,1),(203,1)}
        48:{1,3,5}:{(29,1),(32,1),(62,1),(69,1),(73,1)}
        49:{2,3,5}:{(29,1),(63,1),(70,1),(73,1),(108,1),(120,1)}
        50:{3,5,7}:{(29,1),(30,1),(64,1),(71,1),(76,1),(124,1),(186,1),(190,1)}
        51:{1,2,4,6}:{(30,1),(31,1),(34,1),(72,1),(76,1),(77,1),(78,1),(110,1),(123,1),(125,1),(128,1),(152,1),(184,1),(203,1)}
        52:{1,4,5,7}:{(32,1),(33,1),(66,1),(74,1),(78,1),(118,1),(157,1),(162,1)}
        53:{3,4,6}:{(33,1),(34,1),(76,1),(78,1),(79,1),(128,1)}
        54:{2,5,6}:{(34,1),(68,1),(79,1)}
        55:{1,5,6}:{(35,1),(42,1),(80,1)}
        56:{3,5,7}:{(35,1),(36,1),(43,1),(80,1),(81,1)}
        57:{2,4,6,7}:{(36,1),(81,1),(82,1),(131,1)}
        58:{1,4,5}:{(37,1),(83,1),(99,1),(146,1)}
        59:{3,4,6}:{(37,1),(39,1),(45,1),(83,1),(85,1),(86,1),(133,1)}
        60:{1,4,7}:{(37,1),(38,1),(86,1),(140,1)}
        61:{1,3,6,7}:{(38,1),(41,1),(47,1),(87,1),(91,1),(133,1),(197,1)}
        62:{1,3,6}:{(39,1),(42,1),(48,1),(88,1),(89,1)}
        63:{2,3,6}:{(39,1),(49,1),(85,1),(88,1),(90,1)}
        64:{3,7}:{(39,1),(40,1)}
        65:{1,2,4,6,7}:{(40,1),(41,1),(44,1),(51,1),(87,1),(91,1),(92,1),(93,1),(135,1),(137,1),(140,1),(172,1)}
        66:{1,4,7}:{(42,1),(43,1),(80,1),(89,1)}
        67:{3,4,6,7}:{(43,1),(44,1),(53,1),(81,1),(91,1),(93,1),(94,1),(131,1),(140,1),(168,1),(173,1)}
        68:{2,5,7}:{(44,1),(54,1),(94,1)}
        69:{1,3,4}:{(45,1),(48,1),(95,1)}
        70:{2,4}:{(45,1),(49,1)}
        71:{3,4,7}:{(45,1),(46,1),(50,1),(97,1),(98,1),(140,1),(199,1)}
        72:{1,4,6}:{(46,1),(47,1),(98,1),(99,1)}
        73:{1,2,5}:{(48,1),(49,1),(88,1),(95,1)}
        74:{1,3,5,7}:{(48,1),(50,1),(52,1),(89,1),(96,1),(100,1),(101,1),(144,1),(196,1)}
        75:{2,3,5,7}:{(49,1),(50,1),(90,1),(97,1),(100,1),(102,1),(132,1),(142,1),(145,1),(176,1)}
        76:{3,6}:{(50,1),(51,1)}
        77:{1,2,5,6}:{(51,1),(54,1),(92,1),(99,1),(103,1),(104,1),(134,1),(145,1),(169,1)}
        78:{1,4,6}:{(52,1),(53,1),(101,1),(104,1)}
        79:{3,5,6}:{(53,1),(54,1),(94,1),(104,1),(105,1)}
        80:{1,5,7}:{(55,1),(56,1),(66,1),(106,1)}
        81:{3,6,7}:{(56,1),(57,1),(106,1)}
        82:{2,5,6,7}:{(57,1),(68,1),(107,1),(183,1)}
        83:{3,5}:{(58,1),(59,1),(108,1)}
        84:{1,4,5,7}:{(58,1),(60,1),(109,1),(110,1),(113,1),(155,1)}
        85:{2,4,6}:{(59,1),(63,1),(70,1),(108,1),(111,1),(152,1)}
        86:{3,4,7}:{(59,1),(60,1),(64,1),(109,1),(111,1)}
        87:{1,4,6,7}:{(60,1),(61,1),(72,1),(110,1),(112,1),(113,1),(188,1),(203,1)}
        88:{1,2,6}:{(62,1),(63,1),(73,1),(114,1)}
        89:{1,3,7}:{(62,1),(64,1),(66,1),(114,1)}
        90:{2,3,7}:{(63,1),(64,1),(111,1),(114,1)}
        91:{3,6,7}:{(64,1),(65,1),(76,1),(117,1),(186,1)}
        92:{1,2,5,7}:{(65,1),(68,1),(77,1),(113,1),(117,1),(118,1),(154,1)}
        93:{1,4,6,7}:{(66,1),(67,1),(78,1),(106,1),(115,1),(118,1),(157,1)}
        94:{3,5,7}:{(67,1),(68,1),(79,1),(118,1),(119,1)}
        95:{1,2,4}:{(69,1),(70,1),(73,1),(120,1)}
        96:{1,3,4,7}:{(69,1),(71,1),(74,1),(121,1),(122,1),(157,1),(186,1),(188,1)}
        97:{2,4,7}:{(70,1),(71,1),(75,1),(123,1),(189,1)}
        98:{3,4,6}:{(71,1),(72,1),(76,1),(123,1),(124,1),(128,1)}
        99:{1,5}:{(72,1),(124,1)}
       100:{1,2,5,7}:{(73,1),(74,1),(75,1),(114,1),(121,1),(125,1),(161,1)}
       101:{1,3,6}:{(74,1),(76,1),(78,1),(125,1),(203,1)}
       102:{2,3,6}:{(75,1),(76,1),(123,1),(125,1),(152,1)}
       103:{3,5,6}:{(76,1),(77,1),(117,1),(124,1),(128,1)}
       104:{1,5,6}:{(78,1),(79,1),(118,1)}
       105:{4,5,6}:{(79,1),(119,1),(128,1)}
       106:{1,6,7}:{(80,1),(81,1)}
       107:{3,5,6,7}:{(81,1),(82,1),(94,1),(130,1),(131,1),(168,1)}
       108:{2,5}:{(83,1),(85,1)}
       109:{3,5,7}:{(83,1),(84,1),(86,1),(132,1),(133,1)}
       110:{1,4,6}:{(84,1),(133,1),(134,1),(170,1)}
       111:{2,4,7}:{(85,1),(86,1),(90,1),(132,1)}
       112:{3,4,6,7}:{(86,1),(87,1),(91,1),(98,1),(133,1),(135,1),(136,1),(140,1),(170,1),(174,1),(195,1)}
       113:{1,5,7}:{(87,1),(99,1),(134,1),(136,1)}
       114:{1,2,7}:{(88,1),(89,1),(90,1)}
       115:{1,3,6,7}:{(89,1),(91,1),(93,1),(101,1),(137,1),(138,1),(168,1)}
       116:{2,3,6,7}:{(90,1),(91,1),(102,1),(135,1),(137,1),(139,1),(195,1)}
       117:{3,5,7}:{(91,1),(92,1),(103,1),(140,1)}
       118:{1,5,7}:{(93,1),(94,1),(104,1)}
       119:{4,5,7}:{(94,1),(105,1),(131,1),(140,1)}
       120:{2,3}:{(95,1)}
       121:{1,2,4,7}:{(95,1),(96,1),(97,1),(100,1),(142,1),(143,1)}
       122:{1,3,4,6}:{(96,1),(98,1),(101,1),(143,1),(144,1),(148,1),(180,1),(182,1),(199,1)}
       123:{2,4,6}:{(97,1),(98,1),(102,1),(145,1)}
       124:{3,5}:{(98,1),(99,1),(145,1),(146,1)}
       125:{1,2,6}:{(100,1),(101,1),(102,1)}
       126:{1,3,5,6}:{(101,1),(103,1),(104,1),(138,1),(144,1),(147,1),(148,1),(150,1),(180,1)}
       127:{2,3,5,6}:{(102,1),(103,1),(139,1),(145,1),(147,1),(149,1),(169,1),(176,1),(179,1),(180,1),(195,1)}
       128:{4,6}:{(103,1),(140,1),(146,1)}
       129:{1,4,5,6}:{(104,1),(105,1),(141,1),(148,1),(150,1)}
       130:{1,5,6,7}:{(106,1),(107,1),(118,1),(151,1)}
       131:{4,6,7}:{(107,1),(119,1)}
       132:{2,5,7}:{(108,1),(109,1),(111,1),(152,1)}
       133:{3,6}:{(109,1),(110,1),(152,1)}
       134:{1,5,6}:{(110,1),(113,1),(153,1),(203,1)}
       135:{2,4,6,7}:{(111,1),(112,1),(116,1),(123,1),(152,1),(154,1),(158,1),(184,1)}
       136:{3,5,7}:{(112,1),(113,1),(124,1),(153,1),(154,1),(155,1)}
       137:{1,2,6,7}:{(114,1),(115,1),(116,1),(125,1),(156,1),(183,1),(203,1)}
       138:{1,3,5,7}:{(115,1),(117,1),(118,1),(126,1),(156,1),(157,1),(159,1),(186,1)}
       139:{2,3,5,7}:{(116,1),(117,1),(127,1),(154,1),(156,1),(158,1),(185,1),(186,1)}
       140:{4,7}:{(117,1),(128,1)}
       141:{1,4,5,7}:{(118,1),(119,1),(129,1),(151,1),(157,1),(159,1)}
       142:{2,3,7}:{(120,1),(121,1),(160,1),(186,1)}
       143:{1,2,4,6}:{(121,1),(122,1),(123,1),(125,1),(160,1),(161,1),(189,1)}
       144:{1,3,5}:{(122,1),(124,1),(161,1),(162,1),(190,1),(192,1)}
       145:{2,5}:{(123,1),(124,1)}
       146:{4,5}:{(124,1),(128,1)}
       147:{1,2,5,6}:{(125,1),(126,1),(127,1),(156,1),(161,1),(164,1),(167,1),(192,1),(203,1)}
       148:{1,4,6}:{(126,1),(128,1),(157,1),(162,1),(165,1)}
       149:{2,4,6}:{(127,1),(128,1),(158,1),(163,1),(166,1),(189,1)}
       150:{3,5,6}:{(129,1),(159,1),(165,1),(167,1)}
       151:{1,4,6,7}:{(130,1),(131,1),(141,1),(168,1)}
       152:{2,6}:{(132,1),(133,1)}
       153:{3,5,6}:{(133,1),(134,1),(136,1),(169,1),(170,1),(195,1)}
       154:{2,5,7}:{(135,1),(136,1),(145,1),(169,1)}
       155:{4,5,7}:{(136,1),(140,1),(146,1),(170,1)}
       156:{1,2,5,7}:{(137,1),(138,1),(139,1),(147,1),(172,1),(175,1),(196,1)}
       157:{1,4,7}:{(138,1),(140,1),(148,1),(173,1)}
       158:{2,4,7}:{(139,1),(140,1),(149,1),(174,1)}
       159:{3,5,7}:{(141,1),(150,1),(168,1),(173,1),(175,1)}
       160:{2,3,6}:{(142,1),(143,1),(176,1),(180,1)}
       161:{1,2,5}:{(143,1),(144,1),(145,1),(176,1)}
       162:{1,4,5}:{(144,1),(146,1),(148,1),(178,1)}
       163:{2,4,5}:{(145,1),(146,1),(149,1),(179,1)}
       164:{1,2,4,6}:{(147,1),(148,1),(149,1),(172,1),(177,1),(180,1),(181,1),(182,1),(202,1)}
       165:{3,4,6}:{(148,1),(150,1),(173,1),(178,1),(180,1),(181,1)}
       166:{3,4,6}:{(149,1),(174,1),(179,1),(180,1),(182,1),(195,1),(199,1)}
       167:{2,5,6}:{(150,1),(175,1),(181,1)}
       168:{3,6,7}:{(151,1),(159,1),(183,1)}
       169:{2,5,6}:{(152,1),(153,1),(154,1),(184,1)}
       170:{4,6}:{(153,1),(155,1)}
       171:{2,4,5,7}:{(154,1),(155,1),(158,1),(163,1),(184,1),(185,1)}
       172:{1,2,4,7}:{(156,1),(157,1),(158,1),(164,1),(186,1),(187,1),(188,1),(204,1)}
       173:{3,4,7}:{(157,1),(159,1),(165,1),(186,1),(187,1)}
       174:{3,4,7}:{(158,1),(166,1),(185,1),(186,1),(188,1)}
       175:{2,5,7}:{(159,1),(167,1),(183,1),(187,1)}
       176:{2,3,5}:{(160,1),(161,1),(189,1),(190,1)}
       177:{1,2,4,5}:{(161,1),(162,1),(163,1),(164,1),(189,1),(190,1),(191,1),(192,1),(205,1),(207,1)}
       178:{3,4,5}:{(162,1),(165,1),(190,1),(191,1)}
       179:{3,5}:{(163,1),(166,1),(192,1)}
       180:{3,6}:{(164,1),(186,1),(190,1)}
       181:{2,4,6}:{(165,1),(167,1),(187,1),(191,1),(194,1)}
       182:{1,4,6}:{(166,1),(188,1),(192,1),(193,1),(203,1),(205,1)}
       183:{2,6,7}:{(168,1),(175,1)}
       184:{2,4,6}:{(169,1),(170,1),(171,1),(195,1)}
       185:{3,5,7}:{(171,1),(174,1),(179,1),(195,1),(196,1)}
       186:{3,7}:{(172,1),(180,1)}
       187:{2,4,7}:{(173,1),(175,1),(181,1),(198,1)}
       188:{1,4,7}:{(174,1),(182,1),(196,1),(197,1)}
       189:{2,4}:{(176,1),(199,1)}
       190:{3,5}:{(177,1),(180,1),(199,1)}
       191:{2,4,5}:{(178,1),(181,1),(201,1)}
       192:{1,5}:{(179,1),(182,1)}
       193:{1,3,6}:{(180,1),(182,1),(197,1),(200,1),(202,1)}
       194:{2,3,6}:{(180,1),(181,1),(198,1),(201,1),(202,1)}
       195:{3,6}:{(184,1),(185,1),(203,1)}
       196:{1,5,7}:{(185,1),(188,1),(192,1),(203,1)}
       197:{1,3,7}:{(186,1),(188,1),(193,1),(204,1)}
       198:{2,3,7}:{(186,1),(187,1),(194,1),(204,1)}
       199:{3,4}:{(189,1),(190,1),(205,1)}
       200:{1,3,5}:{(190,1),(192,1),(193,1),(205,1),(207,1),(209,1)}
       201:{2,3,5}:{(190,1),(191,1),(194,1),(206,1),(207,1)}
       202:{1,2,6}:{(193,1),(194,1),(204,1),(207,1)}
       203:{1,6}:{(195,1),(196,1)}
       204:{1,2,7}:{(197,1),(198,1),(202,1)}
       205:{1,4}:{(199,1),(200,1)}
       206:{2,3,4}:{(199,1),(201,1),(208,1)}
       207:{1,2,5}:{(200,1),(201,1),(202,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{1,3}:{(208,1)}

 670 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(58,1),(73,1),(133,1),(176,1),(185,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(8,1),(34,1),(40,1),(50,1),(86,1),(104,1),(146,1),(152,1),(153,1)}
         2:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(13,1),(34,1),(150,1),(194,1),(199,1)}
         3:{1,2,4,7}:{(0,1),(9,1),(11,1),(12,1),(42,1),(196,1)}
         4:{2,3,4,6}:{(0,1),(10,1),(12,1),(13,1),(47,1),(87,1),(103,1),(106,1),(162,1)}
         5:{1,3,4,7}:{(14,1),(15,1),(16,1),(58,1),(114,1),(137,1),(171,1),(203,1)}
         6:{1,4,5,7}:{(1,1),(14,1),(18,1),(57,1),(62,1),(77,1),(114,1),(136,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(19,1),(28,1),(64,1),(73,1),(118,1),(174,1)}
         8:{3,4,6}:{(1,1),(18,1),(19,1),(21,1),(59,1),(122,1)}
         9:{1,2,5,7}:{(2,1),(3,1),(22,1),(23,1),(27,1),(177,1),(204,1)}
        10:{2,3,6}:{(2,1),(19,1),(23,1),(59,1),(206,1)}
        11:{1,3,7}:{(3,1),(26,1),(133,1),(205,1)}
        12:{1,2,4,6}:{(3,1),(4,1),(23,1),(26,1),(27,1),(68,1),(75,1)}
        13:{2,3,5}:{(4,1),(27,1),(28,1),(76,1),(120,1),(184,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(29,1),(30,1),(33,1),(34,1),(107,1),(163,1),(208,1)}
        15:{1,2,4,7}:{(5,1),(29,1),(31,1),(32,1),(78,1),(166,1)}
        16:{1,3,4,6}:{(5,1),(30,1),(32,1),(33,1),(83,1),(87,1),(145,1),(148,1),(192,1)}
        17:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(29,1),(34,1),(35,1),(42,1),(49,1),(78,1),(85,1),(90,1),(99,1),(102,1),(141,1),(144,1),(152,1),(153,1),(159,1),(189,1),(199,1),(208,1)}
        18:{1,4,6}:{(6,1),(8,1),(30,1),(37,1)}
        19:{2,4,6}:{(7,1),(8,1),(10,1),(39,1)}
        20:{3,4,6,7}:{(8,1),(36,1),(38,1),(40,1),(88,1),(97,1),(104,1),(146,1),(153,1),(154,1),(156,1)}
        21:{3,5,6}:{(8,1),(37,1),(39,1),(40,1),(41,1)}
        22:{1,3,5,7}:{(9,1),(11,1),(34,1),(42,1),(43,1),(48,1),(99,1),(149,1),(193,1),(208,1)}
        23:{1,2,6}:{(9,1),(10,1),(43,1)}
        24:{2,3,6,7}:{(10,1),(38,1),(44,1),(46,1),(88,1),(156,1),(194,1)}
        25:{2,3,5,6}:{(10,1),(13,1),(39,1),(45,1),(46,1),(47,1),(89,1),(96,1),(103,1)}
        26:{1,3,6}:{(11,1),(12,1),(48,1),(103,1)}
        27:{1,2,5}:{(12,1),(13,1),(48,1),(99,1)}
        28:{2,4,5}:{(13,1),(47,1),(50,1),(152,1)}
        29:{1,2,5,7}:{(14,1),(15,1),(51,1),(52,1),(56,1),(139,1),(186,1)}
        30:{1,3,6}:{(14,1),(18,1),(52,1),(59,1),(209,1)}
        31:{2,3,7}:{(15,1),(55,1),(171,1),(187,1)}
        32:{1,2,4,6}:{(15,1),(16,1),(52,1),(55,1),(56,1),(109,1),(116,1)}
        33:{1,3,5}:{(16,1),(56,1),(57,1),(117,1),(120,1),(202,1)}
        34:{3,5,7}:{(17,1),(58,1),(59,1),(76,1),(117,1),(120,1),(133,1),(171,1)}
        35:{1,2,4,6}:{(17,1),(18,1),(19,1),(23,1),(52,1),(59,1),(61,1),(68,1),(109,1),(122,1),(182,1),(200,1),(206,1),(209,1)}
        36:{1,4,6,7}:{(18,1),(20,1),(53,1),(62,1),(114,1),(136,1),(181,1)}
        37:{1,5,6}:{(18,1),(21,1),(62,1)}
        38:{2,4,6,7}:{(19,1),(20,1),(24,1),(64,1),(73,1),(174,1),(180,1)}
        39:{2,5,6}:{(19,1),(21,1),(64,1)}
        40:{3,5,7}:{(20,1),(21,1),(62,1),(64,1),(67,1)}
        41:{4,5,6}:{(21,1),(67,1),(122,1)}
        42:{1,4,7}:{(22,1),(58,1),(68,1),(75,1),(175,1)}
        43:{1,3,6}:{(22,1),(23,1),(59,1),(68,1),(209,1)}
        44:{1,2,6,7}:{(23,1),(24,1),(69,1),(71,1),(181,1),(204,1),(206,1)}
        45:{1,2,5,6}:{(23,1),(25,1),(27,1),(70,1),(71,1),(72,1),(128,1),(184,1),(206,1)}
        46:{2,3,5,7}:{(24,1),(25,1),(64,1),(71,1),(73,1),(121,1),(127,1),(133,1)}
        47:{2,4,6}:{(25,1),(28,1),(73,1),(74,1),(122,1)}
        48:{1,3,5}:{(26,1),(27,1),(75,1),(76,1)}
        49:{1,2,4,5}:{(27,1),(28,1),(72,1),(75,1),(76,1),(77,1),(130,1),(138,1),(139,1),(184,1)}
        50:{3,4,5}:{(28,1),(74,1),(76,1),(77,1)}
        51:{2,3,5,7}:{(29,1),(31,1),(34,1),(78,1),(79,1),(84,1),(108,1),(141,1),(164,1),(199,1)}
        52:{1,2,6}:{(29,1),(30,1),(79,1)}
        53:{1,3,6,7}:{(30,1),(36,1),(80,1),(82,1),(88,1),(154,1),(163,1)}
        54:{1,3,5,6}:{(30,1),(33,1),(37,1),(81,1),(82,1),(83,1),(89,1),(93,1),(145,1)}
        55:{2,3,6}:{(31,1),(32,1),(84,1),(145,1)}
        56:{1,2,5}:{(32,1),(33,1),(84,1),(141,1)}
        57:{1,4,5}:{(33,1),(83,1),(86,1),(152,1)}
        58:{3,4,7}:{(34,1),(42,1),(78,1),(87,1),(106,1),(148,1),(153,1)}
        59:{3,6}:{(34,1),(35,1)}
        60:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(44,1),(80,1),(88,1),(90,1),(98,1),(102,1),(140,1),(144,1),(153,1)}
        61:{1,2,5,6}:{(35,1),(37,1),(39,1),(89,1),(90,1),(99,1),(141,1),(158,1),(188,1)}
        62:{1,5,7}:{(36,1),(37,1),(40,1)}
        63:{1,4,5,6}:{(37,1),(41,1),(83,1),(92,1),(93,1)}
        64:{2,5,7}:{(38,1),(39,1),(40,1)}
        65:{2,4,5,6}:{(39,1),(41,1),(47,1),(95,1),(96,1)}
        66:{3,5,6,7}:{(40,1),(91,1),(94,1),(97,1),(154,1),(156,1)}
        67:{4,5,7}:{(40,1),(41,1),(97,1),(153,1)}
        68:{1,4,6}:{(42,1),(43,1),(87,1),(99,1)}
        69:{1,3,6,7}:{(43,1),(44,1),(88,1),(98,1),(100,1),(193,1),(198,1)}
        70:{1,3,5,6}:{(43,1),(45,1),(48,1),(89,1),(99,1),(100,1),(101,1),(103,1),(158,1),(160,1),(198,1)}
        71:{1,2,5,7}:{(44,1),(45,1),(46,1),(100,1),(102,1),(157,1),(199,1)}
        72:{1,2,4,6}:{(45,1),(47,1),(49,1),(101,1),(102,1),(103,1),(105,1),(162,1),(165,1)}
        73:{2,4,7}:{(46,1),(47,1),(104,1),(153,1)}
        74:{3,4,6}:{(47,1),(50,1),(96,1),(103,1),(104,1),(105,1)}
        75:{1,4}:{(48,1),(106,1)}
        76:{3,5}:{(49,1),(103,1),(106,1)}
        77:{1,4,5}:{(50,1),(105,1),(107,1)}
        78:{2,4,7}:{(51,1),(58,1),(109,1),(116,1),(138,1)}
        79:{2,3,6}:{(51,1),(52,1),(59,1),(109,1),(206,1)}
        80:{1,2,6,7}:{(52,1),(53,1),(110,1),(112,1),(180,1),(186,1),(209,1)}
        81:{1,2,5,6}:{(52,1),(54,1),(56,1),(111,1),(112,1),(113,1),(125,1),(202,1),(209,1)}
        82:{1,3,5,7}:{(53,1),(54,1),(62,1),(112,1),(114,1),(121,1),(124,1),(171,1)}
        83:{1,4,6}:{(54,1),(57,1),(114,1),(115,1),(122,1)}
        84:{2,3,5}:{(55,1),(56,1),(116,1),(117,1)}
        85:{1,2,4,5}:{(56,1),(57,1),(113,1),(116,1),(117,1),(118,1),(168,1),(175,1),(177,1),(202,1)}
        86:{3,4,5}:{(57,1),(115,1),(117,1),(118,1)}
        87:{3,4,6}:{(58,1),(59,1),(68,1),(109,1),(120,1),(122,1)}
        88:{3,6,7}:{(59,1),(60,1),(121,1),(133,1),(171,1)}
        89:{3,5,6}:{(59,1),(61,1),(120,1),(121,1),(122,1)}
        90:{1,2,5,7}:{(60,1),(61,1),(62,1),(64,1),(121,1),(129,1),(167,1)}
        91:{1,5,6,7}:{(62,1),(66,1),(123,1),(181,1)}
        92:{1,4,5,7}:{(62,1),(63,1),(67,1),(114,1),(123,1),(124,1)}
        93:{3,5,6}:{(63,1),(115,1),(124,1),(125,1)}
        94:{2,5,6,7}:{(64,1),(66,1),(126,1),(180,1)}
        95:{2,4,5,7}:{(64,1),(65,1),(67,1),(73,1),(126,1),(127,1)}
        96:{3,5,6}:{(65,1),(74,1),(127,1),(128,1)}
        97:{4,6,7}:{(66,1),(67,1)}
        98:{1,4,6,7}:{(68,1),(69,1),(119,1),(129,1),(131,1),(182,1),(203,1),(209,1)}
        99:{1,5}:{(68,1),(120,1)}
       100:{1,3,5,7}:{(69,1),(70,1),(71,1),(121,1),(129,1),(131,1),(133,1),(183,1)}
       101:{1,4,6}:{(70,1),(75,1),(122,1),(130,1),(131,1),(132,1)}
       102:{1,2,4,7}:{(71,1),(72,1),(73,1),(131,1),(133,1),(136,1),(185,1),(186,1)}
       103:{3,6}:{(72,1),(76,1),(133,1)}
       104:{3,4,7}:{(73,1),(74,1),(127,1),(133,1),(136,1)}
       105:{1,4,6}:{(74,1),(77,1),(128,1),(134,1),(136,1)}
       106:{3,4}:{(75,1),(76,1),(138,1)}
       107:{1,3,5}:{(76,1),(77,1),(134,1),(137,1),(139,1)}
       108:{2,3,5}:{(76,1),(135,1),(138,1),(139,1),(184,1),(187,1)}
       109:{2,4,6}:{(78,1),(79,1),(87,1),(141,1)}
       110:{2,3,6,7}:{(79,1),(80,1),(88,1),(140,1),(142,1),(164,1),(207,1)}
       111:{2,3,5,6}:{(79,1),(81,1),(84,1),(89,1),(141,1),(142,1),(143,1),(145,1),(188,1),(190,1),(207,1)}
       112:{1,2,5,7}:{(80,1),(81,1),(82,1),(142,1),(144,1),(155,1),(208,1)}
       113:{1,2,4,6}:{(81,1),(83,1),(85,1),(143,1),(144,1),(145,1),(147,1),(192,1),(195,1)}
       114:{1,4,7}:{(82,1),(83,1),(146,1),(153,1)}
       115:{3,4,6}:{(83,1),(86,1),(93,1),(145,1),(146,1),(147,1)}
       116:{2,4}:{(84,1),(148,1)}
       117:{3,5}:{(85,1),(145,1),(148,1)}
       118:{2,4,5}:{(86,1),(147,1),(150,1)}
       119:{3,4,6,7}:{(87,1),(88,1),(98,1),(140,1),(151,1),(153,1),(161,1),(191,1),(197,1),(198,1),(207,1)}
       120:{3,5}:{(87,1),(99,1),(141,1),(152,1)}
       121:{3,5,7}:{(88,1),(89,1),(90,1),(153,1)}
       122:{4,6}:{(89,1),(152,1),(153,1)}
       123:{1,4,6,7}:{(91,1),(92,1),(97,1),(154,1)}
       124:{3,5,7}:{(92,1),(93,1),(146,1),(154,1),(155,1)}
       125:{2,5,6}:{(93,1),(147,1),(155,1)}
       126:{2,4,6,7}:{(94,1),(95,1),(97,1),(156,1)}
       127:{3,5,7}:{(95,1),(96,1),(104,1),(156,1),(157,1)}
       128:{1,5,6}:{(96,1),(105,1),(157,1)}
       129:{1,5,7}:{(98,1),(99,1),(151,1),(158,1)}
       130:{1,4,5}:{(99,1),(101,1),(152,1),(160,1)}
       131:{1,4,7}:{(100,1),(101,1),(153,1),(161,1)}
       132:{3,4,6}:{(101,1),(103,1),(106,1),(160,1),(161,1),(162,1),(198,1)}
       133:{3,7}:{(102,1),(103,1)}
       134:{1,3,6}:{(103,1),(105,1),(107,1),(163,1),(165,1)}
       135:{2,3,6}:{(103,1),(108,1),(162,1),(164,1),(165,1)}
       136:{1,4,7}:{(104,1),(105,1),(157,1),(163,1)}
       137:{1,3,4}:{(106,1),(107,1),(166,1)}
       138:{2,4}:{(106,1),(108,1)}
       139:{1,2,5}:{(107,1),(108,1),(165,1),(166,1)}
       140:{2,4,6,7}:{(109,1),(110,1),(119,1),(167,1),(169,1),(185,1),(200,1),(206,1)}
       141:{2,5}:{(109,1),(120,1)}
       142:{2,3,5,7}:{(110,1),(111,1),(112,1),(121,1),(167,1),(169,1),(171,1),(201,1)}
       143:{2,4,6}:{(111,1),(116,1),(122,1),(168,1),(169,1),(170,1)}
       144:{1,2,4,7}:{(112,1),(113,1),(114,1),(169,1),(171,1),(174,1),(203,1),(204,1)}
       145:{3,6}:{(113,1),(117,1),(171,1)}
       146:{3,4,7}:{(114,1),(115,1),(124,1),(171,1),(174,1)}
       147:{2,4,6}:{(115,1),(118,1),(125,1),(173,1),(174,1)}
       148:{3,4}:{(116,1),(117,1),(175,1)}
       149:{1,3,5}:{(117,1),(172,1),(175,1),(177,1),(202,1),(205,1)}
       150:{2,3,5}:{(117,1),(118,1),(173,1),(176,1),(177,1)}
       151:{3,5,7}:{(119,1),(120,1),(129,1),(167,1),(178,1),(179,1)}
       152:{4,5}:{(120,1),(122,1)}
       153:{4,7}:{(121,1),(122,1)}
       154:{3,6,7}:{(123,1),(124,1),(180,1)}
       155:{2,5,7}:{(124,1),(125,1),(174,1),(180,1)}
       156:{3,6,7}:{(126,1),(127,1),(181,1)}
       157:{1,5,7}:{(127,1),(128,1),(136,1),(181,1)}
       158:{1,5,6}:{(129,1),(178,1),(182,1),(209,1)}
       159:{1,4,5,7}:{(129,1),(130,1),(131,1),(179,1),(182,1),(183,1)}
       160:{3,5}:{(130,1),(132,1),(184,1)}
       161:{3,4,7}:{(131,1),(132,1),(133,1),(183,1),(185,1)}
       162:{2,4,6}:{(132,1),(135,1),(138,1),(184,1),(185,1),(206,1)}
       163:{1,3,7}:{(133,1),(134,1),(136,1),(186,1)}
       164:{2,3,7}:{(133,1),(135,1),(185,1),(186,1)}
       165:{1,2,6}:{(134,1),(135,1),(139,1),(186,1)}
       166:{1,2,4}:{(137,1),(138,1),(139,1),(187,1)}
       167:{2,5,7}:{(140,1),(141,1),(151,1),(188,1)}
       168:{2,4,5}:{(141,1),(143,1),(152,1),(190,1)}
       169:{2,4,7}:{(142,1),(143,1),(153,1),(191,1)}
       170:{3,4,6}:{(143,1),(145,1),(148,1),(190,1),(191,1),(192,1),(207,1)}
       171:{3,7}:{(144,1),(145,1)}
       172:{1,3,6}:{(145,1),(149,1),(192,1),(193,1),(195,1)}
       173:{2,3,6}:{(145,1),(147,1),(150,1),(194,1),(195,1)}
       174:{2,4,7}:{(146,1),(147,1),(155,1),(194,1)}
       175:{1,4}:{(148,1),(149,1)}
       176:{2,3,4}:{(148,1),(150,1),(196,1)}
       177:{1,2,5}:{(149,1),(150,1),(195,1),(196,1)}
       178:{3,5,6}:{(151,1),(158,1),(188,1),(197,1),(198,1),(207,1)}
       179:{4,5,7}:{(151,1),(152,1),(153,1),(197,1)}
       180:{2,6,7}:{(154,1),(155,1)}
       181:{1,6,7}:{(156,1),(157,1)}
       182:{1,4,6}:{(158,1),(159,1),(197,1),(198,1)}
       183:{3,5,7}:{(159,1),(160,1),(161,1),(198,1),(199,1)}
       184:{2,5}:{(160,1),(162,1)}
       185:{2,4,7}:{(161,1),(162,1),(164,1),(199,1)}
       186:{1,2,7}:{(163,1),(164,1),(165,1)}
       187:{2,3}:{(166,1)}
       188:{2,5,6}:{(167,1),(178,1),(200,1),(206,1)}
       189:{2,4,5,7}:{(167,1),(168,1),(169,1),(179,1),(200,1),(201,1)}
       190:{3,5}:{(168,1),(170,1),(202,1)}
       191:{3,4,7}:{(169,1),(170,1),(171,1),(201,1),(203,1)}
       192:{1,4,6}:{(170,1),(172,1),(175,1),(202,1),(203,1),(209,1)}
       193:{1,3,7}:{(171,1),(172,1),(203,1),(204,1)}
       194:{2,3,7}:{(171,1),(173,1),(174,1),(204,1)}
       195:{1,2,6}:{(172,1),(173,1),(177,1),(204,1)}
       196:{1,2,4}:{(175,1),(176,1),(177,1),(205,1)}
       197:{4,6}:{(178,1),(179,1)}
       198:{3,6}:{(182,1),(183,1),(206,1)}
       199:{2,5,7}:{(183,1),(184,1),(185,1),(206,1)}
       200:{2,4,6}:{(188,1),(189,1),(197,1),(207,1)}
       201:{3,5,7}:{(189,1),(190,1),(191,1),(207,1),(208,1)}
       202:{1,5}:{(190,1),(192,1)}
       203:{1,4,7}:{(191,1),(192,1),(193,1),(208,1)}
       204:{1,2,7}:{(193,1),(194,1),(195,1)}
       205:{1,3}:{(196,1)}
       206:{2,6}:{(198,1),(199,1)}
       207:{3,6}:{(200,1),(201,1),(209,1)}
       208:{1,5,7}:{(201,1),(202,1),(203,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

 671 :  0:{2,3,4}:{(2,1),(3,1),(47,1)}
        1:{3,4,5}:{(6,1),(7,1),(8,1),(33,1),(71,1)}
        2:{2,3,5}:{(0,1),(8,1),(9,1),(10,1),(33,1)}
        3:{1,2,4}:{(0,1),(10,1),(11,1),(36,1)}
        4:{1,3,4}:{(12,1),(13,1),(47,1)}
        5:{4,5,6}:{(14,1),(15,1),(63,1),(83,1)}
        6:{3,4,6}:{(1,1),(14,1),(16,1),(17,1),(18,1),(45,1),(63,1)}
        7:{1,4,5}:{(1,1),(12,1),(16,1)}
        8:{2,4,5}:{(1,1),(2,1),(17,1)}
        9:{2,3,6}:{(2,1),(17,1),(20,1),(21,1),(45,1)}
       10:{1,2,5}:{(2,1),(3,1),(20,1),(22,1)}
       11:{1,3}:{(3,1)}
       12:{1,3,5}:{(4,1),(7,1),(23,1),(24,1),(33,1)}
       13:{1,2,4}:{(4,1),(24,1),(25,1),(52,1)}
       14:{3,5,6}:{(5,1),(6,1),(26,1),(27,1),(28,1)}
       15:{4,5,7}:{(5,1),(28,1),(29,1),(72,1),(82,1)}
       16:{1,4,6}:{(6,1),(7,1),(23,1),(26,1),(31,1)}
       17:{2,4,6}:{(6,1),(8,1),(9,1),(27,1),(32,1)}
       18:{3,4,7}:{(6,1),(28,1),(31,1),(32,1),(58,1),(72,1)}
       19:{1,2,4,5}:{(7,1),(8,1),(10,1),(24,1),(30,1),(33,1),(36,1),(52,1),(59,1),(69,1),(71,1)}
       20:{1,2,6}:{(9,1),(10,1),(34,1),(35,1)}
       21:{2,3,7}:{(9,1),(32,1),(35,1),(58,1)}
       22:{1,3,5}:{(10,1),(11,1),(33,1),(34,1),(36,1),(59,1)}
       23:{1,3,6}:{(12,1),(16,1),(37,1),(38,1),(45,1)}
       24:{1,2,5}:{(12,1),(13,1),(37,1),(39,1)}
       25:{2,3}:{(13,1)}
       26:{1,5,6}:{(14,1),(16,1),(41,1)}
       27:{2,5,6}:{(14,1),(17,1),(42,1)}
       28:{3,5,7}:{(14,1),(15,1),(18,1),(41,1),(42,1),(43,1)}
       29:{4,6,7}:{(15,1),(43,1),(44,1)}
       30:{1,2,4,6}:{(16,1),(17,1),(19,1),(20,1),(37,1),(40,1),(45,1),(46,1),(48,1),(61,1),(63,1)}
       31:{1,4,7}:{(16,1),(18,1),(38,1),(41,1)}
       32:{2,4,7}:{(17,1),(18,1),(21,1),(42,1)}
       33:{3,5}:{(19,1),(45,1),(47,1)}
       34:{1,3,6}:{(20,1),(22,1),(45,1),(48,1),(49,1)}
       35:{1,2,7}:{(20,1),(21,1),(49,1)}
       36:{1,4}:{(22,1),(47,1)}
       37:{1,2,6}:{(23,1),(24,1),(50,1),(51,1)}
       38:{1,3,7}:{(23,1),(31,1),(51,1),(58,1)}
       39:{2,3,5}:{(24,1),(25,1),(33,1),(50,1),(52,1),(69,1)}
       40:{1,2,5,6}:{(26,1),(27,1),(30,1),(53,1),(54,1),(59,1),(69,1),(75,1),(80,1)}
       41:{1,5,7}:{(26,1),(28,1),(31,1),(55,1)}
       42:{2,5,7}:{(27,1),(28,1),(32,1),(56,1)}
       43:{3,6,7}:{(28,1),(29,1),(55,1),(56,1)}
       44:{5,6,7}:{(29,1),(82,1)}
       45:{3,6}:{(30,1),(33,1),(58,1)}
       46:{1,2,4,7}:{(30,1),(31,1),(32,1),(35,1),(51,1),(54,1),(58,1),(60,1),(70,1),(72,1)}
       47:{3,4}:{(33,1),(36,1),(52,1)}
       48:{1,4,6}:{(34,1),(36,1),(57,1),(59,1),(60,1),(75,1)}
       49:{1,3,7}:{(34,1),(35,1),(58,1),(60,1)}
       50:{2,3,6}:{(37,1),(39,1),(45,1),(61,1),(62,1)}
       51:{1,2,7}:{(37,1),(38,1),(62,1)}
       52:{2,4}:{(39,1),(47,1)}
       53:{3,5,6}:{(40,1),(45,1),(63,1),(64,1),(66,1),(79,1),(83,1)}
       54:{1,2,5,7}:{(40,1),(41,1),(42,1),(46,1),(64,1),(65,1),(68,1),(76,1)}
       55:{1,6,7}:{(41,1),(43,1)}
       56:{2,6,7}:{(42,1),(43,1)}
       57:{3,4,6}:{(45,1),(47,1),(48,1),(61,1),(63,1),(66,1),(67,1),(79,1)}
       58:{3,7}:{(45,1),(46,1)}
       59:{1,5}:{(48,1),(66,1)}
       60:{1,4,7}:{(48,1),(49,1),(67,1),(68,1)}
       61:{2,4,6}:{(50,1),(52,1),(57,1),(69,1),(70,1),(80,1)}
       62:{2,3,7}:{(50,1),(51,1),(58,1),(70,1)}
       63:{4,6}:{(53,1),(71,1),(72,1)}
       64:{3,5,7}:{(53,1),(54,1),(58,1),(72,1),(73,1),(82,1)}
       65:{1,2,6,7}:{(54,1),(55,1),(56,1),(73,1),(75,1),(80,1)}
       66:{3,5}:{(57,1),(59,1),(69,1),(71,1)}
       67:{3,4,7}:{(57,1),(58,1),(60,1),(70,1),(72,1),(74,1)}
       68:{1,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{2,5}:{(61,1),(66,1)}
       70:{2,4,7}:{(61,1),(62,1),(67,1),(76,1)}
       71:{4,5}:{(63,1),(66,1)}
       72:{4,7}:{(63,1),(64,1)}
       73:{3,6,7}:{(64,1),(65,1),(78,1),(79,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(77,1),(79,1)}
       75:{1,6}:{(68,1),(79,1)}
       76:{2,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,5,7}:{(71,1),(72,1),(74,1),(81,1),(82,1)}
       78:{4,6,7}:{(72,1),(73,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(81,1)}
       80:{2,6}:{(76,1),(79,1)}
       81:{4,6}:{(77,1),(79,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

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

 673 :   0:{1,3,4,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1),(51,1),(55,1),(83,1),(90,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(69,1),(100,1),(104,1)}
         2:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(37,1),(71,1),(101,1)}
         3:{2,3,6,7}:{(1,1),(8,1),(29,1),(113,1),(117,1)}
         4:{1,2,5,7}:{(1,1),(2,1),(8,1),(9,1),(53,1),(114,1)}
         5:{1,3,5,6}:{(2,1),(9,1),(11,1),(29,1),(32,1)}
         6:{1,4,5,7}:{(2,1),(11,1),(12,1),(83,1),(86,1)}
         7:{1,3,5,6,7}:{(5,1),(13,1),(14,1),(36,1),(37,1),(67,1),(120,1)}
         8:{2,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(18,1),(125,1)}
         9:{1,2,5,6}:{(4,1),(5,1),(15,1),(17,1),(47,1),(71,1)}
        10:{1,2,4,5,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(21,1),(39,1),(41,1),(46,1),(71,1),(100,1),(102,1)}
        11:{1,4,6}:{(5,1),(6,1),(20,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(66,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(9,1),(22,1),(23,1),(53,1),(80,1),(85,1),(108,1)}
        14:{1,4,6,7}:{(7,1),(11,1),(24,1),(25,1),(83,1),(129,1)}
        15:{2,3,5,6}:{(8,1),(9,1),(26,1),(29,1),(54,1)}
        16:{2,4,7}:{(8,1),(26,1),(27,1),(132,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(11,1),(26,1),(29,1),(33,1),(55,1),(61,1)}
        18:{3,5,7}:{(10,1),(27,1),(29,1),(54,1),(113,1),(115,1)}
        19:{1,4,5,6}:{(11,1),(24,1),(32,1)}
        20:{3,4,6}:{(11,1),(12,1),(29,1),(32,1),(33,1)}
        21:{2,4,5,7}:{(12,1),(31,1),(33,1),(53,1),(84,1),(87,1)}
        22:{2,3,5,6,7}:{(13,1),(15,1),(34,1),(36,1),(63,1),(68,1),(94,1)}
        23:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(38,1),(64,1),(69,1),(100,1),(119,1)}
        24:{1,4,5,7}:{(14,1),(19,1),(37,1),(135,1)}
        25:{3,4,6,7}:{(14,1),(20,1),(36,1),(37,1),(38,1),(66,1),(134,1)}
        26:{2,4,6}:{(15,1),(16,1),(39,1),(40,1)}
        27:{3,4,7}:{(16,1),(18,1),(40,1),(41,1),(126,1)}
        28:{1,2,4,5,6}:{(17,1),(19,1),(35,1),(39,1),(43,1),(47,1),(62,1),(71,1),(75,1),(76,1),(77,1),(93,1),(102,1),(119,1),(135,1),(139,1)}
        29:{3,6}:{(17,1),(18,1)}
        30:{1,3,5,7}:{(18,1),(41,1),(44,1),(46,1),(71,1),(74,1),(103,1)}
        31:{2,3,5,7}:{(18,1),(21,1),(42,1),(45,1),(46,1),(72,1)}
        32:{3,5,6}:{(19,1),(20,1),(37,1),(47,1)}
        33:{2,4,6}:{(20,1),(21,1),(45,1),(47,1)}
        34:{2,4,6,7}:{(22,1),(26,1),(48,1),(49,1),(84,1),(107,1)}
        35:{1,2,4,5,7}:{(23,1),(24,1),(28,1),(48,1),(50,1),(53,1),(80,1),(83,1),(84,1),(85,1)}
        36:{3,6,7}:{(23,1),(29,1),(50,1),(113,1),(128,1)}
        37:{3,5,7}:{(24,1),(25,1),(32,1),(53,1),(138,1)}
        38:{2,4,6,7}:{(25,1),(33,1),(52,1),(53,1),(84,1),(137,1)}
        39:{2,4,5}:{(26,1),(54,1)}
        40:{3,4,6}:{(26,1),(27,1),(29,1),(54,1),(55,1)}
        41:{1,4,7}:{(27,1),(30,1),(55,1),(116,1)}
        42:{2,3,4,7}:{(27,1),(31,1),(56,1),(57,1),(84,1),(113,1)}
        43:{3,5,6}:{(28,1),(29,1),(50,1),(54,1),(58,1),(115,1),(128,1),(138,1)}
        44:{1,3,6}:{(29,1),(30,1),(55,1),(61,1)}
        45:{2,3,6}:{(29,1),(31,1),(33,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(57,1),(61,1),(88,1)}
        47:{2,5,6}:{(32,1),(33,1),(53,1)}
        48:{2,4,5,7}:{(34,1),(39,1),(62,1),(63,1)}
        49:{3,4,6,7}:{(34,1),(36,1),(40,1),(63,1),(64,1),(66,1),(92,1)}
        50:{3,5,7}:{(35,1),(36,1),(43,1),(66,1)}
        51:{1,3,6,7}:{(36,1),(44,1),(64,1),(67,1),(69,1),(118,1)}
        52:{2,3,6,7}:{(36,1),(38,1),(45,1),(68,1),(69,1),(133,1)}
        53:{2,5,7}:{(37,1),(38,1),(47,1),(139,1)}
        54:{3,5}:{(39,1),(40,1),(71,1)}
        55:{1,4,6}:{(40,1),(41,1),(44,1),(71,1)}
        56:{2,3,4,6}:{(40,1),(42,1),(45,1),(72,1),(73,1),(76,1),(105,1),(126,1)}
        57:{1,2,4,7}:{(41,1),(42,1),(46,1),(73,1),(74,1)}
        58:{3,4,6}:{(43,1),(66,1),(70,1),(75,1),(76,1),(105,1),(126,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(67,1),(71,1),(75,1),(77,1),(93,1),(101,1),(103,1),(105,1),(118,1)}
        60:{2,3,5,6}:{(43,1),(45,1),(47,1),(68,1),(72,1),(76,1),(77,1),(105,1),(125,1),(133,1),(139,1)}
        61:{1,2,6}:{(44,1),(45,1),(46,1)}
        62:{2,4,5,6}:{(48,1),(78,1),(107,1)}
        63:{3,5,7}:{(48,1),(49,1),(54,1),(78,1),(80,1)}
        64:{1,4,6,7}:{(49,1),(51,1),(55,1),(80,1),(83,1),(106,1)}
        65:{2,3,4,6,7}:{(49,1),(52,1),(56,1),(81,1),(82,1),(84,1),(107,1),(113,1),(128,1),(131,1),(137,1)}
        66:{3,4,7}:{(50,1),(58,1),(83,1),(84,1),(113,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(59,1),(80,1),(83,1),(85,1),(113,1)}
        68:{2,3,5,7}:{(50,1),(52,1),(53,1),(60,1),(84,1),(85,1),(113,1)}
        69:{1,2,6,7}:{(51,1),(52,1),(61,1),(85,1),(127,1)}
        70:{3,4,5}:{(54,1),(58,1),(86,1),(87,1),(115,1),(138,1)}
        71:{1,5}:{(54,1),(55,1)}
        72:{2,3,5}:{(54,1),(56,1),(87,1),(88,1),(115,1)}
        73:{1,2,4,6}:{(55,1),(56,1),(57,1),(61,1),(88,1),(89,1),(116,1)}
        74:{1,3,7}:{(57,1),(89,1),(113,1)}
        75:{1,4,6}:{(58,1),(59,1),(83,1),(86,1),(116,1)}
        76:{2,4,6}:{(58,1),(60,1),(84,1),(87,1),(132,1)}
        77:{1,2,5,6}:{(59,1),(60,1),(61,1),(85,1),(88,1),(91,1),(114,1),(127,1)}
        78:{3,5,6}:{(62,1),(63,1),(92,1),(93,1)}
        79:{3,4,5,7}:{(63,1),(66,1),(70,1),(92,1),(95,1),(96,1),(122,1)}
        80:{1,5,7}:{(63,1),(64,1),(71,1),(93,1)}
        81:{2,3,5,7}:{(63,1),(65,1),(72,1),(94,1),(96,1),(97,1),(122,1),(139,1)}
        82:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(73,1),(97,1),(98,1),(100,1),(119,1),(123,1)}
        83:{1,4,7}:{(66,1),(67,1),(75,1)}
        84:{2,4,7}:{(66,1),(68,1),(76,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(77,1),(100,1)}
        86:{1,4,5}:{(70,1),(71,1),(75,1),(101,1)}
        87:{2,4,5}:{(70,1),(72,1),(76,1),(139,1)}
        88:{1,2,5}:{(71,1),(72,1),(73,1),(103,1)}
        89:{1,3,6}:{(73,1),(74,1),(103,1),(105,1)}
        90:{1,3,4,6}:{(75,1),(99,1),(101,1),(104,1),(105,1),(118,1),(126,1),(134,1)}
        91:{1,2,4,6}:{(75,1),(76,1),(77,1),(100,1),(102,1),(105,1)}
        92:{3,4,6}:{(78,1),(79,1),(106,1),(107,1),(128,1)}
        93:{1,5,6}:{(78,1),(80,1),(106,1)}
        94:{2,3,5,6}:{(78,1),(81,1),(107,1),(108,1),(128,1)}
        95:{1,4,5,7}:{(79,1),(80,1),(83,1),(86,1),(106,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(81,1),(84,1),(87,1),(107,1)}
        97:{1,2,5,7}:{(80,1),(81,1),(82,1),(88,1),(108,1),(111,1)}
        98:{1,3,6,7}:{(82,1),(89,1),(111,1),(113,1),(128,1)}
        99:{1,3,4,7}:{(83,1),(90,1),(109,1),(112,1),(113,1),(131,1)}
       100:{1,2,4,7}:{(83,1),(84,1),(85,1),(91,1),(113,1)}
       101:{1,3,5}:{(86,1),(90,1),(114,1),(115,1),(138,1)}
       102:{1,2,4,5}:{(86,1),(87,1),(88,1),(91,1),(114,1),(115,1),(116,1),(132,1)}
       103:{1,3,5}:{(88,1),(89,1),(115,1),(116,1)}
       104:{1,2,4,6}:{(90,1),(112,1),(114,1),(117,1),(127,1),(132,1),(137,1)}
       105:{3,6}:{(91,1),(113,1),(115,1)}
       106:{1,4,6}:{(92,1),(93,1),(95,1),(118,1)}
       107:{2,4,6}:{(92,1),(94,1),(96,1)}
       108:{1,2,5,6}:{(93,1),(94,1),(97,1),(119,1),(120,1),(139,1)}
       109:{1,3,5,7}:{(95,1),(99,1),(101,1),(118,1),(121,1),(122,1)}
       110:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(100,1),(102,1),(119,1),(121,1),(122,1),(123,1),(135,1),(136,1),(139,1)}
       111:{1,3,5,7}:{(97,1),(98,1),(103,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,7}:{(99,1),(104,1),(121,1),(124,1),(136,1)}
       113:{3,7}:{(100,1),(105,1)}
       114:{1,2,5}:{(101,1),(104,1),(125,1),(139,1)}
       115:{3,5}:{(102,1),(105,1),(126,1)}
       116:{1,4}:{(103,1),(126,1)}
       117:{2,3,6}:{(104,1),(105,1),(124,1),(125,1)}
       118:{1,3,6}:{(106,1),(109,1),(127,1),(128,1)}
       119:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(127,1),(128,1),(129,1),(137,1)}
       120:{1,3,5,6}:{(108,1),(111,1),(128,1),(129,1),(138,1)}
       121:{1,2,5,7}:{(109,1),(112,1),(114,1),(127,1),(130,1)}
       122:{3,5,7}:{(110,1),(113,1),(115,1),(128,1),(131,1),(138,1)}
       123:{1,4,7}:{(111,1),(116,1),(129,1),(131,1)}
       124:{2,3,7}:{(112,1),(113,1),(117,1)}
       125:{2,3,5}:{(114,1),(115,1),(117,1),(132,1)}
       126:{3,4}:{(115,1),(116,1),(132,1)}
       127:{1,2,6}:{(118,1),(121,1),(133,1)}
       128:{3,6}:{(119,1),(122,1)}
       129:{1,4,6}:{(120,1),(123,1),(134,1),(135,1)}
       130:{2,3,5,7}:{(121,1),(122,1),(124,1),(125,1),(133,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(126,1),(134,1),(136,1)}
       132:{2,4}:{(125,1),(126,1)}
       133:{2,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{3,4,6}:{(128,1),(129,1),(131,1),(137,1),(138,1)}
       135:{1,4,5}:{(129,1),(138,1)}
       136:{2,4,7}:{(130,1),(131,1),(132,1),(137,1)}
       137:{2,4,6}:{(133,1),(134,1),(136,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

 674 :   0:{2,3,5,7}:{(3,1),(4,1),(5,1),(6,1),(22,1),(26,1),(51,1)}
         1:{2,4,5,7}:{(4,1),(6,1),(7,1),(9,1),(26,1),(30,1),(53,1)}
         2:{2,4,6,7}:{(7,1),(8,1),(9,1),(30,1)}
         3:{1,2,5,7}:{(0,1),(10,1),(11,1),(12,1),(15,1),(37,1),(57,1)}
         4:{2,4,7}:{(0,1),(13,1),(14,1),(65,1),(68,1)}
         5:{2,3,6}:{(0,1),(12,1),(14,1),(16,1),(36,1),(100,1)}
         6:{3,5,7}:{(1,1),(13,1),(15,1),(16,1),(39,1)}
         7:{2,4,6}:{(1,1),(16,1),(17,1),(41,1)}
         8:{3,6,7}:{(2,1),(16,1),(18,1),(19,1)}
         9:{2,5,7}:{(2,1),(17,1),(19,1),(68,1)}
        10:{1,3,5,7}:{(3,1),(20,1),(21,1),(22,1),(43,1),(47,1),(51,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(20,1),(22,1),(23,1),(24,1),(45,1),(48,1)}
        12:{1,2,6}:{(3,1),(5,1),(21,1),(27,1),(71,1),(103,1)}
        13:{3,4,7}:{(4,1),(6,1),(22,1),(24,1),(25,1),(30,1),(55,1)}
        14:{2,4,6}:{(4,1),(5,1),(25,1),(26,1),(79,1),(94,1)}
        15:{1,5,7}:{(6,1),(24,1),(27,1),(52,1)}
        16:{3,6}:{(6,1),(7,1),(27,1)}
        17:{2,5,6}:{(7,1),(9,1),(26,1),(28,1),(79,1)}
        18:{1,6,7}:{(8,1),(27,1),(29,1)}
        19:{3,5,7}:{(8,1),(9,1),(28,1),(29,1),(30,1),(55,1)}
        20:{1,4,7}:{(10,1),(32,1),(33,1),(65,1),(104,1)}
        21:{1,3,6}:{(10,1),(12,1),(33,1),(36,1),(58,1),(99,1)}
        22:{3,7}:{(11,1),(36,1)}
        23:{1,2,4,6}:{(11,1),(12,1),(14,1),(33,1),(36,1),(37,1),(38,1),(60,1),(62,1),(65,1),(85,1)}
        24:{1,4,7}:{(13,1),(15,1),(34,1),(38,1)}
        25:{3,4,6}:{(13,1),(14,1),(16,1),(36,1),(38,1),(39,1),(41,1),(65,1),(67,1),(86,1)}
        26:{2,5}:{(14,1),(39,1)}
        27:{1,6}:{(15,1),(16,1)}
        28:{3,5,6}:{(16,1),(17,1),(19,1),(39,1),(40,1),(41,1),(67,1)}
        29:{1,5,7}:{(18,1),(19,1),(40,1),(42,1)}
        30:{4,7}:{(19,1),(41,1)}
        31:{1,4,5,7}:{(20,1),(43,1),(44,1),(47,1),(70,1),(74,1),(90,1)}
        32:{3,4,7}:{(20,1),(22,1),(43,1),(45,1),(46,1),(90,1),(101,1)}
        33:{1,4,6}:{(20,1),(21,1),(46,1),(47,1),(95,1),(102,1)}
        34:{1,3,7}:{(22,1),(24,1),(48,1),(49,1),(55,1)}
        35:{2,3,7}:{(22,1),(45,1),(48,1),(50,1),(101,1)}
        36:{3,6}:{(22,1),(23,1),(51,1),(93,1)}
        37:{1,2,5}:{(23,1),(26,1),(47,1),(51,1),(52,1),(73,1)}
        38:{1,4,6}:{(24,1),(25,1),(27,1),(49,1),(52,1),(76,1)}
        39:{3,5}:{(25,1),(26,1),(52,1),(53,1)}
        40:{1,5,6}:{(27,1),(28,1),(29,1),(52,1),(54,1)}
        41:{4,6}:{(28,1),(30,1),(53,1)}
        42:{1,4,7}:{(29,1),(30,1),(54,1),(55,1)}
        43:{3,5,7}:{(31,1),(32,1),(57,1),(58,1),(61,1)}
        44:{1,4,6}:{(31,1),(58,1),(59,1),(83,1)}
        45:{2,4,7}:{(32,1),(35,1),(57,1),(60,1)}
        46:{3,4,6}:{(32,1),(33,1),(36,1),(58,1),(60,1),(61,1),(65,1),(83,1),(87,1),(97,1)}
        47:{1,5}:{(33,1),(61,1)}
        48:{1,2,7}:{(34,1),(35,1),(62,1),(68,1),(104,1)}
        49:{1,3,6}:{(34,1),(36,1),(38,1),(62,1),(63,1),(67,1)}
        50:{2,3,6}:{(35,1),(36,1),(60,1),(62,1),(64,1),(97,1)}
        51:{3,5}:{(36,1),(37,1),(65,1)}
        52:{1,5}:{(38,1),(39,1)}
        53:{4,5}:{(39,1),(41,1),(65,1)}
        54:{1,4,6}:{(40,1),(41,1),(42,1),(66,1),(67,1)}
        55:{3,7}:{(42,1),(67,1),(68,1)}
        56:{1,4,6,7}:{(44,1),(69,1),(70,1),(90,1)}
        57:{2,5,7}:{(43,1),(45,1),(71,1),(73,1)}
        58:{3,6}:{(43,1),(44,1),(71,1)}
        59:{1,5,6}:{(44,1),(47,1),(70,1),(72,1),(102,1)}
        60:{2,4,6}:{(45,1),(46,1),(50,1),(71,1),(73,1),(77,1)}
        61:{3,5}:{(46,1),(47,1),(73,1),(74,1)}
        62:{1,2,6}:{(48,1),(49,1),(50,1),(75,1),(79,1),(102,1)}
        63:{1,3,5}:{(49,1),(51,1),(52,1),(75,1),(76,1),(78,1),(93,1)}
        64:{2,3,5}:{(50,1),(51,1),(73,1),(75,1),(77,1),(92,1),(93,1)}
        65:{4}:{(51,1)}
        66:{1,4,5}:{(52,1),(53,1),(54,1),(76,1),(78,1)}
        67:{3,6}:{(54,1),(55,1),(78,1),(79,1)}
        68:{2,7}:{(55,1),(79,1)}
        69:{3,6,7}:{(56,1),(58,1),(80,1),(81,1)}
        70:{1,5,7}:{(56,1),(59,1),(81,1),(104,1)}
        71:{2,6}:{(57,1),(58,1)}
        72:{3,5,6}:{(58,1),(59,1),(61,1),(81,1),(82,1),(83,1),(97,1)}
        73:{2,5}:{(60,1),(61,1)}
        74:{4,5}:{(61,1),(65,1),(83,1)}
        75:{1,2,5}:{(62,1),(63,1),(64,1),(85,1),(88,1),(98,1)}
        76:{1,4}:{(63,1),(65,1),(86,1)}
        77:{2,4}:{(64,1),(65,1),(87,1)}
        78:{3,5}:{(66,1),(67,1),(86,1),(88,1)}
        79:{2,6}:{(67,1),(68,1),(88,1)}
        80:{2,6,7}:{(69,1),(71,1),(89,1)}
        81:{3,5,7}:{(69,1),(70,1),(72,1),(89,1),(90,1),(101,1)}
        82:{2,5,6}:{(71,1),(72,1),(73,1),(89,1),(91,1)}
        83:{4,6}:{(72,1),(74,1),(90,1)}
        84:{2,4,5}:{(73,1),(74,1),(77,1),(91,1),(92,1)}
        85:{1,2,4}:{(75,1),(76,1),(77,1),(93,1),(94,1),(95,1),(103,1)}
        86:{3,4}:{(76,1),(78,1),(93,1),(94,1)}
        87:{3,4}:{(77,1),(92,1),(93,1),(95,1)}
        88:{2,5}:{(78,1),(79,1),(94,1)}
        89:{2,5,7}:{(80,1),(81,1),(82,1),(96,1)}
        90:{4,7}:{(81,1),(83,1)}
        91:{2,4,6}:{(82,1),(83,1),(84,1),(96,1),(97,1)}
        92:{3,5}:{(84,1),(87,1),(97,1),(98,1)}
        93:{3}:{(85,1)}
        94:{2,4}:{(86,1),(88,1),(100,1)}
        95:{1,4}:{(87,1),(98,1),(99,1)}
        96:{2,4,7}:{(89,1),(90,1),(91,1),(101,1)}
        97:{3,6}:{(91,1),(92,1),(101,1),(102,1)}
        98:{1,5}:{(92,1),(95,1),(102,1)}
        99:{1,3}:{(93,1),(95,1),(103,1)}
       100:{2,3}:{(93,1),(94,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{1,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{1,7}:{(101,1),(102,1)}

 675 :   0:{1,3,5,6,7}:{(1,1),(2,1),(10,1),(11,1),(27,1),(34,1),(108,1)}
         1:{1,2,5,6,7}:{(0,1),(3,1),(4,1),(23,1),(46,1),(49,1),(54,1),(88,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(44,1),(52,1),(124,1)}
         3:{2,3,5,6,7}:{(1,1),(8,1),(10,1),(30,1),(35,1),(64,1),(67,1)}
         4:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(10,1),(13,1),(31,1),(36,1),(63,1),(74,1),(107,1)}
         5:{1,4,5,7}:{(2,1),(7,1),(11,1),(133,1)}
         6:{3,4,6,7}:{(2,1),(10,1),(11,1),(13,1),(26,1),(33,1),(132,1)}
         7:{1,4,5,6}:{(5,1),(15,1),(44,1)}
         8:{2,4,6,7}:{(3,1),(16,1),(17,1),(53,1),(85,1),(87,1)}
         9:{1,2,4,5,7}:{(4,1),(5,1),(14,1),(16,1),(18,1),(23,1),(49,1),(52,1),(53,1),(54,1)}
        10:{3,6,7}:{(4,1),(18,1),(84,1),(94,1),(123,1)}
        11:{3,5,7}:{(5,1),(6,1),(15,1),(23,1),(138,1)}
        12:{1,3,4,6,7}:{(6,1),(19,1),(22,1),(24,1),(44,1),(52,1),(80,1),(84,1),(94,1),(96,1),(120,1)}
        13:{2,4,6,7}:{(6,1),(20,1),(23,1),(45,1),(53,1),(137,1)}
        14:{1,2,4,5,6}:{(7,1),(9,1),(25,1),(28,1),(29,1),(59,1),(60,1),(61,1),(63,1),(66,1),(99,1),(105,1),(107,1),(130,1),(133,1),(139,1)}
        15:{3,5,6}:{(7,1),(11,1),(26,1),(28,1)}
        16:{2,4,5,7}:{(8,1),(29,1),(30,1),(105,1)}
        17:{3,4,6,7}:{(8,1),(10,1),(30,1),(31,1),(33,1),(65,1),(104,1)}
        18:{3,5,7}:{(9,1),(10,1),(25,1),(33,1)}
        19:{1,3,6,7}:{(10,1),(31,1),(34,1),(36,1),(103,1),(106,1)}
        20:{2,3,6,7}:{(10,1),(13,1),(35,1),(36,1),(62,1),(131,1)}
        21:{3,4,5,7}:{(11,1),(26,1),(33,1),(37,1),(38,1),(58,1),(76,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(27,1),(37,1),(39,1),(76,1),(97,1),(130,1)}
        23:{2,5,7}:{(11,1),(13,1),(28,1),(139,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(36,1),(39,1),(40,1),(63,1),(74,1),(77,1),(100,1)}
        25:{3,5,6}:{(14,1),(18,1),(41,1),(84,1),(117,1),(121,1),(123,1),(138,1)}
        26:{3,4,6}:{(15,1),(21,1),(44,1),(45,1),(84,1)}
        27:{1,3,5,6}:{(15,1),(22,1),(44,1),(46,1),(84,1)}
        28:{2,5,6}:{(15,1),(23,1),(45,1)}
        29:{2,4,5,6}:{(16,1),(47,1),(87,1)}
        30:{3,5,7}:{(16,1),(17,1),(47,1),(49,1),(121,1)}
        31:{1,4,6,7}:{(17,1),(19,1),(49,1),(52,1),(86,1),(120,1)}
        32:{2,3,4,6,7}:{(17,1),(20,1),(50,1),(51,1),(53,1),(81,1),(87,1),(94,1),(123,1),(126,1),(137,1)}
        33:{3,4,7}:{(18,1),(41,1),(52,1),(53,1),(94,1)}
        34:{1,3,5,7}:{(18,1),(19,1),(42,1),(49,1),(52,1),(54,1),(94,1)}
        35:{2,3,5,7}:{(18,1),(20,1),(23,1),(43,1),(53,1),(54,1),(94,1)}
        36:{1,2,6,7}:{(19,1),(20,1),(54,1),(83,1),(122,1)}
        37:{1,4,5,7}:{(21,1),(22,1),(44,1),(52,1),(78,1)}
        38:{2,4,5,7}:{(21,1),(23,1),(45,1),(53,1),(55,1),(79,1)}
        39:{1,2,5,7}:{(22,1),(23,1),(24,1),(46,1),(57,1),(115,1)}
        40:{2,3,6,7}:{(24,1),(57,1),(84,1),(94,1),(118,1)}
        41:{3,4,6}:{(25,1),(33,1),(58,1),(59,1),(60,1),(102,1),(129,1)}
        42:{1,3,5,6}:{(25,1),(34,1),(59,1),(61,1),(66,1),(97,1),(102,1),(103,1),(106,1),(128,1),(130,1)}
        43:{2,3,5,6}:{(25,1),(28,1),(35,1),(60,1),(61,1),(62,1),(98,1),(102,1),(127,1),(131,1),(139,1)}
        44:{1,4,6}:{(26,1),(27,1),(37,1)}
        45:{2,4,6}:{(26,1),(28,1),(38,1),(62,1)}
        46:{1,2,5,6}:{(27,1),(28,1),(39,1),(63,1),(64,1),(130,1)}
        47:{3,5,6}:{(29,1),(30,1),(65,1),(66,1)}
        48:{3,4,5,7}:{(30,1),(33,1),(58,1),(65,1),(68,1),(69,1),(110,1)}
        49:{1,5,7}:{(30,1),(31,1),(66,1),(130,1)}
        50:{2,3,5,7}:{(30,1),(32,1),(67,1),(69,1),(70,1),(98,1),(110,1),(139,1)}
        51:{1,2,4,6,7}:{(31,1),(32,1),(36,1),(70,1),(71,1),(74,1),(101,1),(107,1),(111,1)}
        52:{1,4,7}:{(33,1),(34,1),(59,1)}
        53:{2,4,7}:{(33,1),(35,1),(60,1)}
        54:{1,2,5,7}:{(34,1),(35,1),(36,1),(61,1),(74,1)}
        55:{2,3,5,7}:{(38,1),(62,1),(73,1),(75,1),(76,1),(98,1)}
        56:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(63,1),(74,1),(75,1),(76,1),(77,1),(99,1),(105,1),(114,1),(130,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(64,1),(76,1),(77,1),(127,1)}
        58:{3,4,5}:{(41,1),(78,1),(79,1),(117,1),(121,1),(138,1)}
        59:{1,4,6}:{(41,1),(42,1),(52,1),(78,1),(136,1)}
        60:{2,4,6}:{(41,1),(43,1),(53,1),(79,1),(135,1)}
        61:{1,2,5,6}:{(42,1),(43,1),(54,1),(82,1),(83,1),(115,1),(116,1),(122,1)}
        62:{2,3,6}:{(45,1),(55,1),(83,1),(84,1)}
        63:{1,2,4,6}:{(44,1),(45,1),(46,1),(56,1),(83,1),(84,1),(85,1),(120,1)}
        64:{2,3,5,6}:{(46,1),(57,1),(84,1),(85,1),(121,1)}
        65:{3,4,6}:{(47,1),(48,1),(86,1),(87,1),(123,1)}
        66:{1,5,6}:{(47,1),(49,1),(86,1)}
        67:{2,3,5,6}:{(47,1),(50,1),(87,1),(88,1),(123,1)}
        68:{1,4,5,7}:{(48,1),(49,1),(52,1),(78,1),(86,1),(89,1)}
        69:{2,4,5,7}:{(48,1),(50,1),(53,1),(79,1),(87,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(51,1),(88,1),(91,1),(116,1)}
        71:{1,3,6,7}:{(51,1),(91,1),(94,1),(119,1),(123,1)}
        72:{1,3,4,7}:{(52,1),(80,1),(89,1),(92,1),(94,1),(126,1)}
        73:{2,3,4,7}:{(53,1),(55,1),(81,1),(93,1),(94,1),(96,1)}
        74:{1,2,4,7}:{(52,1),(53,1),(54,1),(82,1),(94,1)}
        75:{1,2,5,7}:{(55,1),(83,1),(93,1),(95,1),(116,1)}
        76:{3,5,7}:{(56,1),(84,1),(94,1),(96,1),(117,1),(121,1)}
        77:{2,4,7}:{(57,1),(85,1),(96,1),(135,1)}
        78:{1,4,5}:{(58,1),(59,1),(97,1),(130,1)}
        79:{2,4,5}:{(58,1),(60,1),(98,1),(139,1)}
        80:{1,3,4,6}:{(59,1),(72,1),(97,1),(100,1),(102,1),(106,1),(129,1),(132,1)}
        81:{2,3,4,6}:{(60,1),(62,1),(73,1),(98,1),(101,1),(102,1),(104,1),(129,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(61,1),(74,1),(99,1),(102,1)}
        83:{1,2,6}:{(62,1),(75,1),(103,1)}
        84:{3,6}:{(63,1),(76,1)}
        85:{2,4,6}:{(64,1),(77,1),(104,1),(105,1)}
        86:{1,4,6}:{(65,1),(66,1),(68,1),(106,1)}
        87:{2,4,6}:{(65,1),(67,1),(69,1)}
        88:{1,2,5,6}:{(66,1),(67,1),(70,1),(107,1),(108,1),(139,1)}
        89:{1,3,5,7}:{(68,1),(72,1),(97,1),(106,1),(109,1),(110,1)}
        90:{1,2,4,5,7}:{(68,1),(69,1),(70,1),(74,1),(99,1),(107,1),(109,1),(110,1),(111,1),(133,1),(134,1),(139,1)}
        91:{1,3,5,7}:{(70,1),(71,1),(108,1),(110,1),(111,1),(128,1)}
        92:{1,2,4,7}:{(72,1),(100,1),(109,1),(112,1),(134,1)}
        93:{1,2,4,7}:{(73,1),(75,1),(101,1),(113,1),(114,1)}
        94:{3,7}:{(74,1),(102,1)}
        95:{1,3,5,7}:{(75,1),(76,1),(103,1),(113,1),(114,1),(128,1),(130,1)}
        96:{3,4,7}:{(76,1),(77,1),(104,1),(114,1),(129,1)}
        97:{1,3,5}:{(78,1),(80,1),(115,1),(117,1),(138,1)}
        98:{2,3,5}:{(79,1),(81,1),(116,1),(117,1),(121,1)}
        99:{1,2,4,5}:{(78,1),(79,1),(82,1),(115,1),(116,1),(117,1),(135,1),(136,1)}
       100:{1,2,4,6}:{(80,1),(92,1),(115,1),(118,1),(122,1),(135,1),(137,1)}
       101:{1,2,4,6}:{(81,1),(83,1),(93,1),(116,1),(119,1),(120,1),(136,1)}
       102:{3,6}:{(82,1),(94,1),(117,1)}
       103:{1,3,6}:{(83,1),(84,1),(95,1),(120,1)}
       104:{3,4,6}:{(84,1),(85,1),(96,1),(120,1),(121,1)}
       105:{2,4,5}:{(85,1),(121,1)}
       106:{1,3,6}:{(86,1),(89,1),(122,1),(123,1)}
       107:{1,2,4,6}:{(86,1),(87,1),(88,1),(90,1),(122,1),(123,1),(124,1),(137,1)}
       108:{1,3,5,6}:{(88,1),(91,1),(123,1),(124,1),(138,1)}
       109:{1,2,5,7}:{(89,1),(92,1),(115,1),(122,1),(125,1)}
       110:{3,5,7}:{(90,1),(94,1),(117,1),(123,1),(126,1),(138,1)}
       111:{1,4,7}:{(91,1),(124,1),(126,1),(136,1)}
       112:{2,3,7}:{(92,1),(94,1),(118,1)}
       113:{1,3,7}:{(93,1),(94,1),(119,1)}
       114:{1,4,7}:{(95,1),(96,1),(120,1),(136,1)}
       115:{1,2,5}:{(97,1),(100,1),(127,1),(139,1)}
       116:{1,2,5}:{(98,1),(101,1),(128,1),(130,1)}
       117:{3,5}:{(99,1),(102,1),(129,1)}
       118:{2,3,6}:{(100,1),(102,1),(112,1),(127,1)}
       119:{1,3,6}:{(101,1),(102,1),(113,1),(128,1)}
       120:{1,4,6}:{(103,1),(104,1),(114,1),(130,1)}
       121:{3,5}:{(104,1),(105,1),(130,1)}
       122:{1,2,6}:{(106,1),(109,1),(131,1)}
       123:{3,6}:{(107,1),(110,1)}
       124:{1,4,6}:{(108,1),(111,1),(132,1),(133,1)}
       125:{2,3,5,7}:{(109,1),(110,1),(112,1),(127,1),(131,1),(134,1),(139,1)}
       126:{3,4,7}:{(110,1),(111,1),(129,1),(132,1),(134,1)}
       127:{2,3,5}:{(115,1),(117,1),(118,1),(135,1)}
       128:{1,3,5}:{(116,1),(117,1),(119,1),(136,1)}
       129:{3,4}:{(117,1),(135,1),(136,1)}
       130:{1,5}:{(120,1),(121,1)}
       131:{2,3,6}:{(122,1),(123,1),(125,1),(137,1)}
       132:{3,4,6}:{(123,1),(124,1),(126,1),(137,1),(138,1)}
       133:{1,4,5}:{(124,1),(138,1)}
       134:{2,4,7}:{(125,1),(126,1),(135,1),(137,1)}
       135:{2,4}:{(127,1),(129,1)}
       136:{1,4}:{(128,1),(129,1)}
       137:{2,4,6}:{(131,1),(132,1),(134,1),(139,1)}
       138:{3,5}:{(132,1),(133,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

 676 :   0:{1,4,5,6,7}:{(1,1),(6,1),(177,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(4,1),(193,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(175,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(18,1),(23,1),(133,1)}
         4:{2,5,6,7}:{(1,1),(7,1),(203,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(156,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(13,1),(191,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(15,1),(30,1),(66,1),(108,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(41,1),(167,1),(175,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(21,1),(23,1),(37,1),(46,1),(49,1)}
        13:{2,3,6,7}:{(7,1),(19,1),(22,1),(23,1),(173,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(22,1),(23,1),(24,1),(49,1),(129,1)}
        15:{2,3,5,6,7}:{(8,1),(23,1),(24,1),(44,1),(50,1),(86,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(25,1),(156,1),(182,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(26,1),(185,1),(191,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(25,1),(30,1),(32,1),(66,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(26,1),(29,1),(31,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(32,1),(36,1),(61,1),(62,1),(66,1)}
        21:{1,2,4,6,7}:{(12,1),(30,1),(33,1),(53,1),(61,1)}
        22:{1,2,6,7}:{(13,1),(31,1),(34,1),(151,1)}
        23:{3,6,7}:{(14,1),(32,1),(154,1)}
        24:{2,4,6,7}:{(15,1),(35,1),(36,1),(61,1),(104,1)}
        25:{1,3,5,6}:{(16,1),(18,1),(37,1),(39,1),(41,1),(87,1),(161,1)}
        26:{2,3,5,6}:{(17,1),(19,1),(38,1),(40,1),(41,1),(164,1),(173,1)}
        27:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(39,1),(40,1),(41,1),(51,1),(73,1),(74,1),(87,1),(118,1),(129,1)}
        28:{1,3,4,5,7}:{(18,1),(37,1),(42,1),(46,1),(75,1),(82,1),(122,1),(128,1),(132,1),(161,1)}
        29:{2,3,4,7}:{(19,1),(38,1),(43,1),(46,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(39,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(40,1),(43,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(41,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(70,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(49,1),(127,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(49,1),(50,1),(83,1)}
        36:{2,4,5,7}:{(24,1),(50,1),(51,1)}
        37:{1,3,4,6}:{(25,1),(28,1),(53,1),(57,1),(105,1),(154,1),(156,1)}
        38:{2,3,4,6}:{(26,1),(29,1),(52,1),(54,1),(57,1)}
        39:{1,2,5,6}:{(25,1),(30,1),(53,1),(55,1),(138,1)}
        40:{1,2,5,6}:{(26,1),(31,1),(54,1),(56,1),(141,1),(151,1)}
        41:{3,5,6}:{(27,1),(32,1),(57,1),(143,1),(154,1)}
        42:{1,2,4,5,7}:{(28,1),(30,1),(53,1),(58,1),(61,1),(95,1),(98,1),(138,1)}
        43:{1,2,4,7}:{(29,1),(31,1),(54,1),(59,1),(62,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(55,1),(61,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(56,1),(59,1),(62,1),(66,1)}
        46:{3,4,7}:{(32,1),(57,1),(61,1),(62,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(60,1),(64,1),(90,1),(151,1),(154,1),(190,1),(192,1)}
        48:{2,3,4,6,7}:{(33,1),(35,1),(61,1),(64,1),(65,1),(91,1),(102,1),(104,1),(154,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(62,1),(66,1),(105,1)}
        50:{3,5,7}:{(35,1),(36,1),(66,1),(67,1)}
        51:{2,4,5,6}:{(36,1),(67,1),(104,1)}
        52:{2,3,4,5}:{(38,1),(69,1),(75,1),(158,1),(164,1)}
        53:{1,2,4,6}:{(37,1),(39,1),(42,1),(70,1),(73,1)}
        54:{1,2,4,6}:{(38,1),(40,1),(43,1),(69,1),(71,1),(74,1)}
        55:{2,3,5,6}:{(39,1),(41,1),(44,1),(70,1),(73,1),(114,1)}
        56:{1,3,5,6}:{(40,1),(41,1),(45,1),(71,1),(74,1),(87,1),(116,1),(127,1)}
        57:{3,4,6}:{(41,1),(46,1),(73,1),(74,1),(75,1)}
        58:{2,3,5,7}:{(42,1),(70,1),(77,1),(114,1),(128,1)}
        59:{1,3,7}:{(43,1),(71,1)}
        60:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(72,1),(78,1),(80,1),(85,1),(126,1),(128,1),(199,1),(201,1)}
        61:{2,4,7}:{(44,1),(46,1),(73,1)}
        62:{1,4,7}:{(45,1),(46,1),(74,1)}
        63:{3,4,5,7}:{(46,1),(50,1),(75,1),(81,1),(82,1),(83,1),(128,1)}
        64:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(80,1),(84,1),(85,1),(113,1),(129,1),(204,1)}
        65:{2,3,5,7}:{(48,1),(50,1),(81,1),(85,1),(86,1),(114,1),(128,1)}
        66:{1,5,7}:{(49,1),(50,1),(87,1)}
        67:{3,5,6}:{(50,1),(51,1),(83,1),(87,1)}
        68:{2,4,5,6,7}:{(51,1),(88,1),(130,1)}
        69:{1,2,4,5}:{(52,1),(54,1),(89,1),(96,1),(135,1),(141,1)}
        70:{2,3,6}:{(53,1),(58,1),(154,1)}
        71:{1,3,6}:{(54,1),(59,1),(89,1)}
        72:{1,2,3,5,6}:{(55,1),(56,1),(60,1),(90,1),(92,1),(94,1),(108,1),(138,1),(141,1),(143,1),(151,1),(154,1),(183,1),(186,1)}
        73:{2,4,6}:{(55,1),(57,1),(61,1),(95,1)}
        74:{1,4,6}:{(56,1),(57,1),(62,1),(96,1)}
        75:{3,4,5}:{(57,1),(95,1),(96,1),(143,1)}
        76:{1,2,3,5,7}:{(58,1),(90,1),(98,1),(138,1),(147,1)}
        77:{2,3,4,7}:{(58,1),(61,1),(91,1),(98,1),(102,1)}
        78:{1,2,3,7}:{(59,1),(92,1),(100,1),(206,1)}
        79:{1,3,4,7}:{(59,1),(62,1),(93,1),(100,1),(101,1),(102,1)}
        80:{1,2,4,7}:{(60,1),(61,1),(62,1),(94,1),(102,1),(207,1),(208,1)}
        81:{2,4,5,7}:{(61,1),(63,1),(65,1),(95,1),(104,1)}
        82:{1,4,5,7}:{(62,1),(63,1),(66,1),(96,1),(101,1),(105,1)}
        83:{3,4,6}:{(63,1),(67,1),(104,1),(105,1),(154,1)}
        84:{1,3,4,6,7}:{(64,1),(102,1),(107,1),(137,1),(154,1),(156,1),(190,1),(194,1),(207,1)}
        85:{1,2,5,7}:{(64,1),(65,1),(66,1),(107,1),(108,1),(138,1),(209,1)}
        86:{2,3,5,6}:{(65,1),(67,1),(104,1),(108,1),(154,1)}
        87:{1,5,6}:{(66,1),(67,1),(105,1)}
        88:{3,5,6,7}:{(67,1),(68,1),(106,1),(110,1)}
        89:{1,3,5}:{(69,1),(71,1),(112,1)}
        90:{1,2,3,6}:{(70,1),(76,1),(113,1),(170,1)}
        91:{2,3,4,6}:{(70,1),(73,1),(77,1),(113,1),(114,1),(117,1)}
        92:{1,2,3,6}:{(71,1),(78,1),(111,1),(115,1),(196,1)}
        93:{1,3,4,6}:{(71,1),(74,1),(79,1),(112,1),(115,1),(116,1),(117,1),(127,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(80,1),(117,1),(118,1),(198,1),(200,1)}
        95:{2,4,5}:{(73,1),(75,1),(114,1)}
        96:{1,4,5}:{(74,1),(75,1),(116,1)}
        97:{3,4,5,6}:{(75,1),(83,1),(119,1),(120,1),(121,1),(168,1)}
        98:{1,2,4,7}:{(76,1),(77,1),(113,1),(122,1)}
        99:{2,3,4,5,7}:{(77,1),(81,1),(114,1),(123,1),(124,1),(128,1),(163,1),(167,1),(172,1),(202,1)}
       100:{1,2,4,7}:{(78,1),(79,1),(115,1),(125,1),(126,1)}
       101:{1,3,5,7}:{(79,1),(82,1),(116,1),(126,1),(127,1),(128,1)}
       102:{3,4,7}:{(80,1),(117,1),(128,1)}
       103:{1,2,4,5,7}:{(80,1),(81,1),(82,1),(85,1),(118,1),(126,1),(128,1),(129,1),(132,1),(172,1)}
       104:{2,4,6}:{(81,1),(83,1),(86,1)}
       105:{1,4,6}:{(82,1),(83,1),(87,1),(127,1)}
       106:{3,4,6,7}:{(83,1),(88,1),(121,1),(130,1),(131,1),(176,1)}
       107:{1,3,5,7}:{(84,1),(85,1),(128,1),(132,1),(133,1),(161,1),(205,1)}
       108:{1,2,5,6}:{(85,1),(86,1),(87,1),(129,1),(133,1),(203,1)}
       109:{2,3,5,6,7}:{(86,1),(88,1),(130,1),(134,1),(163,1),(176,1)}
       110:{1,5,6,7}:{(87,1),(88,1),(131,1)}
       111:{1,2,3,5}:{(89,1),(92,1),(135,1),(141,1),(179,1)}
       112:{1,3,4}:{(89,1),(135,1)}
       113:{1,2,4,6}:{(90,1),(91,1),(98,1),(137,1),(138,1)}
       114:{2,3,5}:{(91,1),(95,1),(138,1),(143,1)}
       115:{1,2,4,6}:{(92,1),(93,1),(100,1),(135,1),(140,1),(141,1),(151,1)}
       116:{1,3,5}:{(93,1),(96,1),(141,1),(143,1)}
       117:{3,4,6}:{(94,1),(102,1),(143,1),(154,1)}
       118:{1,2,4,5}:{(94,1),(95,1),(96,1),(138,1),(141,1),(143,1),(182,1),(185,1)}
       119:{2,4,5,6}:{(95,1),(97,1),(104,1),(139,1),(145,1)}
       120:{1,4,5,6}:{(96,1),(97,1),(105,1),(142,1),(146,1)}
       121:{3,4,5,7}:{(97,1),(106,1),(145,1),(146,1),(189,1)}
       122:{1,3,4,7}:{(98,1),(102,1),(137,1),(147,1),(207,1)}
       123:{1,2,4,5,7}:{(98,1),(99,1),(138,1),(147,1),(148,1),(182,1),(184,1),(207,1)}
       124:{2,3,4,6}:{(99,1),(104,1),(139,1),(148,1),(154,1),(188,1),(191,1)}
       125:{2,3,4,7}:{(100,1),(102,1),(140,1),(150,1),(206,1),(208,1)}
       126:{1,2,5,7}:{(100,1),(101,1),(141,1),(150,1),(151,1)}
       127:{1,3,6}:{(101,1),(105,1),(151,1),(154,1)}
       128:{3,5,7}:{(102,1),(103,1),(143,1),(154,1)}
       129:{1,2,4,6}:{(103,1),(104,1),(105,1),(108,1),(151,1),(154,1),(156,1),(191,1)}
       130:{2,4,6,7}:{(104,1),(106,1),(109,1),(145,1)}
       131:{1,4,6,7}:{(105,1),(106,1),(110,1),(146,1),(152,1)}
       132:{1,4,5,7}:{(107,1),(153,1),(156,1),(182,1),(207,1)}
       133:{1,3,5,6}:{(107,1),(108,1),(154,1),(156,1),(193,1)}
       134:{1,2,5,6,7}:{(108,1),(109,1),(110,1),(155,1),(157,1),(184,1),(209,1)}
       135:{1,2,4}:{(111,1),(112,1),(158,1)}
       136:{1,3,4,5}:{(112,1),(116,1),(159,1),(160,1),(167,1)}
       137:{1,3,4,6}:{(113,1),(117,1),(122,1),(161,1),(170,1),(198,1)}
       138:{1,2,5}:{(113,1),(114,1),(161,1)}
       139:{2,3,5,6}:{(114,1),(119,1),(124,1),(162,1),(163,1),(168,1),(203,1)}
       140:{2,3,4,6}:{(115,1),(117,1),(125,1),(158,1),(164,1),(173,1),(196,1),(200,1)}
       141:{1,2,5}:{(115,1),(116,1),(164,1)}
       142:{1,3,5,6}:{(116,1),(120,1),(127,1),(160,1),(165,1),(166,1),(168,1)}
       143:{3,5}:{(117,1),(118,1)}
       144:{1,2,4,5,6}:{(118,1),(119,1),(120,1),(129,1),(162,1),(165,1),(168,1),(169,1),(177,1),(198,1),(200,1),(203,1)}
       145:{2,4,5,7}:{(119,1),(121,1),(130,1),(163,1)}
       146:{1,4,5,7}:{(120,1),(121,1),(131,1),(166,1)}
       147:{1,3,5,7}:{(122,1),(123,1),(128,1),(161,1),(170,1)}
       148:{1,2,4,6}:{(123,1),(124,1),(162,1),(170,1),(198,1)}
       149:{2,3,4,6,7}:{(124,1),(130,1),(163,1),(171,1),(176,1),(202,1),(204,1)}
       150:{2,3,5,7}:{(125,1),(126,1),(128,1),(164,1),(172,1),(173,1)}
       151:{1,2,6}:{(126,1),(127,1),(173,1)}
       152:{1,3,6,7}:{(127,1),(131,1),(166,1),(174,1),(176,1)}
       153:{3,4,5,7}:{(128,1),(132,1),(167,1),(172,1),(175,1),(202,1),(205,1)}
       154:{3,6}:{(128,1),(129,1)}
       155:{1,2,4,6,7}:{(129,1),(130,1),(131,1),(134,1),(169,1),(174,1),(176,1),(178,1),(204,1)}
       156:{1,4,6}:{(132,1),(133,1),(175,1)}
       157:{1,3,5,6,7}:{(133,1),(134,1),(176,1),(178,1),(199,1),(205,1)}
       158:{2,3,4}:{(135,1),(179,1)}
       159:{1,2,4,5}:{(135,1),(136,1),(141,1),(179,1),(180,1),(185,1)}
       160:{1,3,4,6}:{(136,1),(142,1),(180,1),(181,1),(188,1)}
       161:{1,3,5}:{(137,1),(138,1),(143,1),(182,1)}
       162:{1,2,5,6}:{(138,1),(139,1),(148,1),(183,1),(184,1)}
       163:{2,3,5,7}:{(139,1),(145,1),(149,1),(184,1),(189,1),(209,1)}
       164:{2,3,5}:{(140,1),(141,1),(143,1),(185,1)}
       165:{1,2,5,6}:{(141,1),(142,1),(151,1),(180,1),(186,1),(187,1)}
       166:{1,3,5,7}:{(142,1),(146,1),(152,1),(181,1),(187,1),(189,1)}
       167:{3,4,5}:{(143,1),(182,1),(185,1),(188,1)}
       168:{3,5,6}:{(143,1),(144,1),(154,1),(188,1),(189,1)}
       169:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(155,1),(184,1),(187,1),(189,1),(195,1),(207,1),(208,1),(209,1)}
       170:{1,3,6}:{(147,1),(148,1),(154,1)}
       171:{1,2,4,6,7}:{(148,1),(149,1),(184,1),(190,1),(207,1)}
       172:{2,4,5,7}:{(150,1),(153,1),(185,1),(191,1),(208,1),(209,1)}
       173:{2,3,6}:{(150,1),(151,1),(154,1),(191,1)}
       174:{1,2,6,7}:{(151,1),(152,1),(187,1),(192,1)}
       175:{3,4,6}:{(153,1),(154,1),(156,1),(191,1),(193,1)}
       176:{3,6,7}:{(154,1),(155,1),(189,1)}
       177:{1,4,5,6}:{(156,1),(193,1),(195,1)}
       178:{1,4,6,7}:{(156,1),(157,1),(194,1),(195,1),(207,1)}
       179:{2,3,5}:{(158,1),(159,1),(196,1)}
       180:{1,2,4,6}:{(159,1),(160,1),(165,1),(196,1),(197,1),(200,1)}
       181:{1,3,4,7}:{(160,1),(166,1),(197,1),(202,1)}
       182:{1,4,5}:{(161,1),(167,1),(198,1)}
       183:{1,3,5,6}:{(161,1),(162,1),(168,1),(170,1),(198,1),(199,1)}
       184:{1,2,5,7}:{(162,1),(163,1),(171,1),(199,1)}
       185:{2,4,5}:{(164,1),(167,1),(200,1)}
       186:{2,3,5,6}:{(164,1),(165,1),(168,1),(173,1),(196,1),(200,1),(201,1),(203,1)}
       187:{1,2,5,7}:{(165,1),(166,1),(174,1),(197,1),(201,1)}
       188:{3,4,6}:{(167,1),(168,1),(198,1),(200,1),(202,1)}
       189:{3,5,7}:{(168,1),(169,1),(176,1),(202,1)}
       190:{1,3,6,7}:{(170,1),(171,1),(176,1),(199,1)}
       191:{2,4,6}:{(172,1),(173,1),(175,1),(203,1)}
       192:{2,3,6,7}:{(173,1),(174,1),(176,1),(201,1),(204,1)}
       193:{3,5,6}:{(175,1),(177,1),(203,1),(205,1)}
       194:{3,4,6,7}:{(175,1),(176,1),(178,1),(202,1),(204,1),(205,1)}
       195:{1,4,5,7}:{(177,1),(178,1),(205,1)}
       196:{2,3,6}:{(179,1),(180,1),(206,1)}
       197:{1,2,4,7}:{(180,1),(181,1),(187,1),(206,1),(208,1)}
       198:{1,4,6}:{(182,1),(183,1),(188,1),(207,1)}
       199:{1,3,5,7}:{(183,1),(184,1),(189,1),(190,1),(207,1)}
       200:{2,4,6}:{(185,1),(186,1),(188,1),(208,1)}
       201:{2,3,5,7}:{(186,1),(187,1),(189,1),(192,1),(206,1),(208,1),(209,1)}
       202:{3,4,7}:{(188,1),(189,1),(207,1),(208,1)}
       203:{2,5,6}:{(191,1),(193,1),(209,1)}
       204:{2,4,6,7}:{(191,1),(192,1),(194,1),(208,1),(209,1)}
       205:{3,5,7}:{(193,1),(194,1),(195,1),(209,1)}
       206:{2,3,7}:{(196,1),(197,1)}
       207:{1,4,7}:{(198,1),(199,1),(202,1)}
       208:{2,4,7}:{(200,1),(201,1),(202,1)}
       209:{2,5,7}:{(203,1),(204,1),(205,1)}

 677 :   0:{1,3,4,6,7}:{(1,1),(2,1),(11,1),(24,1),(27,1),(31,1),(51,1),(55,1),(87,1),(90,1),(116,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(14,1),(16,1),(46,1),(74,1),(103,1),(104,1)}
         2:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(17,1),(45,1),(67,1),(99,1)}
         3:{2,3,6,7}:{(1,1),(7,1),(27,1),(116,1),(117,1)}
         4:{1,2,5,7}:{(1,1),(2,1),(7,1),(8,1),(61,1),(112,1)}
         5:{1,3,5,6}:{(2,1),(8,1),(11,1),(27,1),(32,1)}
         6:{1,4,5,7}:{(2,1),(11,1),(12,1),(83,1),(87,1)}
         7:{2,3,5,7}:{(3,1),(4,1),(13,1),(14,1),(17,1),(124,1)}
         8:{1,2,5,6}:{(4,1),(5,1),(13,1),(16,1),(47,1),(67,1)}
         9:{1,2,4,5,7}:{(4,1),(6,1),(14,1),(16,1),(17,1),(21,1),(35,1),(37,1),(44,1),(67,1),(100,1),(103,1)}
        10:{1,3,5,6,7}:{(5,1),(15,1),(18,1),(40,1),(45,1),(72,1),(120,1)}
        11:{1,4,6}:{(5,1),(6,1),(20,1)}
        12:{3,4,5,7}:{(6,1),(17,1),(20,1),(21,1),(45,1),(66,1),(71,1)}
        13:{2,3,5,6}:{(7,1),(8,1),(23,1),(27,1),(50,1)}
        14:{2,4,7}:{(7,1),(23,1),(24,1),(132,1)}
        15:{1,2,5,6,7}:{(8,1),(10,1),(22,1),(25,1),(61,1),(80,1),(89,1),(108,1)}
        16:{1,2,4,6}:{(8,1),(9,1),(11,1),(23,1),(27,1),(33,1),(51,1),(60,1)}
        17:{3,5,7}:{(9,1),(24,1),(27,1),(50,1),(113,1),(116,1)}
        18:{1,4,6,7}:{(10,1),(11,1),(30,1),(31,1),(87,1),(129,1)}
        19:{1,4,5,6}:{(11,1),(30,1),(32,1)}
        20:{3,4,6}:{(11,1),(12,1),(27,1),(32,1),(33,1)}
        21:{2,4,5,7}:{(12,1),(29,1),(33,1),(61,1),(84,1),(88,1)}
        22:{2,3,5,6,7}:{(13,1),(15,1),(34,1),(40,1),(63,1),(73,1),(94,1)}
        23:{2,4,6}:{(13,1),(14,1),(35,1),(36,1)}
        24:{3,4,7}:{(14,1),(17,1),(36,1),(37,1),(125,1)}
        25:{1,2,4,6,7}:{(15,1),(16,1),(18,1),(34,1),(39,1),(40,1),(46,1),(64,1),(74,1),(103,1),(119,1)}
        26:{1,2,4,5,6}:{(16,1),(19,1),(35,1),(39,1),(41,1),(47,1),(62,1),(67,1),(75,1),(76,1),(77,1),(93,1),(100,1),(119,1),(135,1),(139,1)}
        27:{3,6}:{(16,1),(17,1)}
        28:{1,3,5,7}:{(17,1),(37,1),(42,1),(44,1),(67,1),(70,1),(101,1)}
        29:{2,3,5,7}:{(17,1),(21,1),(38,1),(43,1),(44,1),(68,1)}
        30:{1,4,5,7}:{(18,1),(19,1),(45,1),(135,1)}
        31:{3,4,6,7}:{(18,1),(20,1),(40,1),(45,1),(46,1),(71,1),(134,1)}
        32:{3,5,6}:{(19,1),(20,1),(45,1),(47,1)}
        33:{2,4,6}:{(20,1),(21,1),(43,1),(47,1)}
        34:{2,4,6,7}:{(22,1),(23,1),(48,1),(49,1),(88,1),(107,1)}
        35:{2,4,5}:{(23,1),(50,1)}
        36:{3,4,6}:{(23,1),(24,1),(27,1),(50,1),(51,1)}
        37:{1,4,7}:{(24,1),(28,1),(51,1),(114,1)}
        38:{2,3,4,7}:{(24,1),(29,1),(52,1),(53,1),(88,1),(116,1)}
        39:{1,2,4,5,7}:{(25,1),(26,1),(30,1),(48,1),(54,1),(61,1),(80,1),(87,1),(88,1),(89,1)}
        40:{3,6,7}:{(25,1),(27,1),(54,1),(116,1),(128,1)}
        41:{3,5,6}:{(26,1),(27,1),(50,1),(54,1),(57,1),(113,1),(128,1),(138,1)}
        42:{1,3,6}:{(27,1),(28,1),(51,1),(60,1)}
        43:{2,3,6}:{(27,1),(29,1),(33,1),(60,1)}
        44:{1,2,5,7}:{(28,1),(29,1),(53,1),(60,1),(85,1)}
        45:{3,5,7}:{(30,1),(31,1),(32,1),(61,1),(138,1)}
        46:{2,4,6,7}:{(31,1),(33,1),(56,1),(61,1),(88,1),(137,1)}
        47:{2,5,6}:{(32,1),(33,1),(61,1)}
        48:{2,4,5,7}:{(34,1),(35,1),(62,1),(63,1)}
        49:{3,4,6,7}:{(34,1),(36,1),(40,1),(63,1),(64,1),(71,1),(92,1)}
        50:{3,5}:{(35,1),(36,1),(67,1)}
        51:{1,4,6}:{(36,1),(37,1),(42,1),(67,1)}
        52:{2,3,4,6}:{(36,1),(38,1),(43,1),(68,1),(69,1),(76,1),(105,1),(125,1)}
        53:{1,2,4,7}:{(37,1),(38,1),(44,1),(69,1),(70,1)}
        54:{3,5,7}:{(39,1),(40,1),(41,1),(71,1)}
        55:{1,3,6,7}:{(40,1),(42,1),(64,1),(72,1),(74,1),(118,1)}
        56:{2,3,6,7}:{(40,1),(43,1),(46,1),(73,1),(74,1),(133,1)}
        57:{3,4,6}:{(41,1),(66,1),(71,1),(75,1),(76,1),(105,1),(125,1)}
        58:{1,3,5,6}:{(41,1),(42,1),(67,1),(72,1),(75,1),(77,1),(93,1),(99,1),(101,1),(105,1),(118,1)}
        59:{2,3,5,6}:{(41,1),(43,1),(47,1),(68,1),(73,1),(76,1),(77,1),(105,1),(124,1),(133,1),(139,1)}
        60:{1,2,6}:{(42,1),(43,1),(44,1)}
        61:{2,5,7}:{(45,1),(46,1),(47,1),(139,1)}
        62:{2,4,5,6}:{(48,1),(78,1),(107,1)}
        63:{3,5,7}:{(48,1),(49,1),(50,1),(78,1),(80,1)}
        64:{1,4,6,7}:{(49,1),(51,1),(55,1),(80,1),(87,1),(106,1)}
        65:{2,3,4,6,7}:{(49,1),(52,1),(56,1),(81,1),(82,1),(88,1),(107,1),(116,1),(128,1),(131,1),(137,1)}
        66:{3,4,5}:{(50,1),(57,1),(83,1),(84,1),(113,1),(138,1)}
        67:{1,5}:{(50,1),(51,1)}
        68:{2,3,5}:{(50,1),(52,1),(84,1),(85,1),(113,1)}
        69:{1,2,4,6}:{(51,1),(52,1),(53,1),(60,1),(85,1),(86,1),(114,1)}
        70:{1,3,7}:{(53,1),(86,1),(116,1)}
        71:{3,4,7}:{(54,1),(57,1),(87,1),(88,1),(116,1)}
        72:{1,3,5,7}:{(54,1),(55,1),(58,1),(80,1),(87,1),(89,1),(116,1)}
        73:{2,3,5,7}:{(54,1),(56,1),(59,1),(61,1),(88,1),(89,1),(116,1)}
        74:{1,2,6,7}:{(55,1),(56,1),(60,1),(89,1),(127,1)}
        75:{1,4,6}:{(57,1),(58,1),(83,1),(87,1),(114,1)}
        76:{2,4,6}:{(57,1),(59,1),(84,1),(88,1),(132,1)}
        77:{1,2,5,6}:{(58,1),(59,1),(60,1),(85,1),(89,1),(91,1),(112,1),(127,1)}
        78:{3,5,6}:{(62,1),(63,1),(92,1),(93,1)}
        79:{3,4,5,7}:{(63,1),(66,1),(71,1),(92,1),(95,1),(96,1),(122,1)}
        80:{1,5,7}:{(63,1),(64,1),(67,1),(93,1)}
        81:{2,3,5,7}:{(63,1),(65,1),(68,1),(94,1),(96,1),(97,1),(122,1),(139,1)}
        82:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(74,1),(97,1),(98,1),(103,1),(119,1),(123,1)}
        83:{1,4,5}:{(66,1),(67,1),(75,1),(99,1)}
        84:{2,4,5}:{(66,1),(68,1),(76,1),(139,1)}
        85:{1,2,5}:{(67,1),(68,1),(69,1),(101,1)}
        86:{1,3,6}:{(69,1),(70,1),(101,1),(105,1)}
        87:{1,4,7}:{(71,1),(72,1),(75,1)}
        88:{2,4,7}:{(71,1),(73,1),(76,1)}
        89:{1,2,5,7}:{(72,1),(73,1),(74,1),(77,1),(103,1)}
        90:{1,3,4,6}:{(75,1),(99,1),(102,1),(104,1),(105,1),(118,1),(125,1),(134,1)}
        91:{1,2,4,6}:{(75,1),(76,1),(77,1),(100,1),(103,1),(105,1)}
        92:{3,4,6}:{(78,1),(79,1),(106,1),(107,1),(128,1)}
        93:{1,5,6}:{(78,1),(80,1),(106,1)}
        94:{2,3,5,6}:{(78,1),(81,1),(107,1),(108,1),(128,1)}
        95:{1,4,5,7}:{(79,1),(80,1),(83,1),(87,1),(106,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(81,1),(84,1),(88,1),(107,1)}
        97:{1,2,5,7}:{(80,1),(81,1),(82,1),(85,1),(108,1),(111,1)}
        98:{1,3,6,7}:{(82,1),(86,1),(111,1),(116,1),(128,1)}
        99:{1,3,5}:{(83,1),(90,1),(112,1),(113,1),(138,1)}
       100:{1,2,4,5}:{(83,1),(84,1),(85,1),(91,1),(112,1),(113,1),(114,1),(132,1)}
       101:{1,3,5}:{(85,1),(86,1),(113,1),(114,1)}
       102:{1,3,4,7}:{(87,1),(90,1),(109,1),(115,1),(116,1),(131,1)}
       103:{1,2,4,7}:{(87,1),(88,1),(89,1),(91,1),(116,1)}
       104:{1,2,4,6}:{(90,1),(112,1),(115,1),(117,1),(127,1),(132,1),(137,1)}
       105:{3,6}:{(91,1),(113,1),(116,1)}
       106:{1,4,6}:{(92,1),(93,1),(95,1),(118,1)}
       107:{2,4,6}:{(92,1),(94,1),(96,1)}
       108:{1,2,5,6}:{(93,1),(94,1),(97,1),(119,1),(120,1),(139,1)}
       109:{1,3,5,7}:{(95,1),(99,1),(102,1),(118,1),(121,1),(122,1)}
       110:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(100,1),(103,1),(119,1),(121,1),(122,1),(123,1),(135,1),(136,1),(139,1)}
       111:{1,3,5,7}:{(97,1),(98,1),(101,1),(120,1),(122,1),(123,1)}
       112:{1,2,5}:{(99,1),(104,1),(124,1),(139,1)}
       113:{3,5}:{(100,1),(105,1),(125,1)}
       114:{1,4}:{(101,1),(125,1)}
       115:{1,2,4,7}:{(102,1),(104,1),(121,1),(126,1),(136,1)}
       116:{3,7}:{(103,1),(105,1)}
       117:{2,3,6}:{(104,1),(105,1),(124,1),(126,1)}
       118:{1,3,6}:{(106,1),(109,1),(127,1),(128,1)}
       119:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(127,1),(128,1),(129,1),(137,1)}
       120:{1,3,5,6}:{(108,1),(111,1),(128,1),(129,1),(138,1)}
       121:{1,2,5,7}:{(109,1),(112,1),(115,1),(127,1),(130,1)}
       122:{3,5,7}:{(110,1),(113,1),(116,1),(128,1),(131,1),(138,1)}
       123:{1,4,7}:{(111,1),(114,1),(129,1),(131,1)}
       124:{2,3,5}:{(112,1),(113,1),(117,1),(132,1)}
       125:{3,4}:{(113,1),(114,1),(132,1)}
       126:{2,3,7}:{(115,1),(116,1),(117,1)}
       127:{1,2,6}:{(118,1),(121,1),(133,1)}
       128:{3,6}:{(119,1),(122,1)}
       129:{1,4,6}:{(120,1),(123,1),(134,1),(135,1)}
       130:{2,3,5,7}:{(121,1),(122,1),(124,1),(126,1),(133,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(125,1),(134,1),(136,1)}
       132:{2,4}:{(124,1),(125,1)}
       133:{2,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{3,4,6}:{(128,1),(129,1),(131,1),(137,1),(138,1)}
       135:{1,4,5}:{(129,1),(138,1)}
       136:{2,4,7}:{(130,1),(131,1),(132,1),(137,1)}
       137:{2,4,6}:{(133,1),(134,1),(136,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

 678 :   0:{1,4,5,6}:{(2,1),(3,1),(21,1),(81,1),(83,1)}
         1:{1,3,4,6}:{(5,1),(6,1),(7,1),(21,1),(36,1),(65,1),(78,1),(114,1),(130,1)}
         2:{3,5,6}:{(0,1),(8,1),(10,1),(11,1)}
         3:{1,4,5,7}:{(0,1),(11,1),(12,1),(42,1),(95,1),(97,1)}
         4:{3,4,5}:{(8,1),(13,1),(14,1),(52,1)}
         5:{1,3,5}:{(1,1),(13,1),(16,1),(52,1),(137,1),(153,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(19,1),(57,1),(59,1),(110,1)}
         7:{1,3,4,7}:{(1,1),(17,1),(19,1),(42,1),(93,1),(106,1),(138,1),(188,1)}
         8:{3,4,6}:{(2,1),(4,1),(21,1),(22,1),(23,1),(65,1)}
         9:{1,3,5,6}:{(2,1),(5,1),(21,1),(24,1),(25,1),(36,1),(65,1),(81,1),(131,1)}
        10:{2,5,6}:{(2,1),(22,1),(26,1)}
        11:{3,5,7}:{(2,1),(3,1),(23,1),(26,1),(27,1)}
        12:{1,4,6,7}:{(3,1),(27,1),(28,1),(74,1)}
        13:{1,4,5}:{(4,1),(5,1),(21,1),(173,1)}
        14:{2,4,5}:{(4,1),(22,1),(29,1)}
        15:{3,4,5,7}:{(4,1),(23,1),(31,1),(32,1),(33,1),(69,1),(79,1),(136,1),(163,1),(166,1),(173,1)}
        16:{1,2,5}:{(5,1),(6,1),(34,1),(133,1)}
        17:{1,3,5,7}:{(5,1),(7,1),(31,1),(35,1),(36,1),(79,1),(159,1),(175,1),(194,1)}
        18:{2,3,6}:{(6,1),(34,1),(37,1),(65,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(35,1),(37,1),(84,1),(200,1)}
        20:{2,3,4}:{(29,1),(38,1),(78,1)}
        21:{1,4,6}:{(8,1),(9,1),(13,1),(42,1),(154,1)}
        22:{2,4,6}:{(8,1),(10,1),(14,1),(40,1),(43,1)}
        23:{3,4,7}:{(8,1),(11,1),(42,1),(43,1),(93,1)}
        24:{1,2,5,6}:{(9,1),(10,1),(16,1),(41,1),(45,1),(46,1),(59,1),(137,1),(177,1)}
        25:{1,3,5,7}:{(9,1),(11,1),(42,1),(46,1),(47,1),(93,1),(95,1),(144,1)}
        26:{2,5,7}:{(10,1),(11,1),(43,1),(48,1)}
        27:{3,6,7}:{(11,1),(12,1),(48,1)}
        28:{1,5,6,7}:{(12,1),(49,1),(95,1),(148,1)}
        29:{2,3,5}:{(14,1),(20,1),(40,1),(50,1),(52,1)}
        30:{1,2,4,5}:{(13,1),(14,1),(16,1),(41,1),(50,1),(52,1),(57,1),(98,1),(102,1),(137,1)}
        31:{1,4,5,7}:{(13,1),(15,1),(17,1),(42,1),(54,1),(95,1),(158,1),(181,1)}
        32:{2,4,5,7}:{(14,1),(15,1),(43,1),(51,1),(55,1),(96,1),(113,1),(141,1)}
        33:{3,4,6}:{(15,1),(54,1),(55,1),(56,1),(107,1),(154,1)}
        34:{2,3,5}:{(16,1),(18,1),(52,1),(57,1)}
        35:{1,2,5,7}:{(16,1),(17,1),(19,1),(58,1),(59,1),(190,1),(204,1)}
        36:{1,3,6}:{(17,1),(54,1),(59,1),(107,1),(177,1)}
        37:{2,3,7}:{(18,1),(19,1),(93,1),(206,1)}
        38:{1,2,4}:{(20,1),(50,1),(60,1),(102,1)}
        39:{2,3,4,7}:{(20,1),(51,1),(61,1),(62,1),(106,1),(141,1),(180,1),(203,1)}
        40:{2,3,6}:{(22,1),(29,1),(63,1),(64,1),(65,1)}
        41:{1,2,4,6}:{(21,1),(22,1),(24,1),(30,1),(63,1),(65,1),(66,1),(70,1),(114,1)}
        42:{1,4,7}:{(21,1),(23,1),(25,1),(166,1)}
        43:{2,4,7}:{(22,1),(23,1),(26,1),(64,1)}
        44:{3,4,6,7}:{(23,1),(27,1),(33,1),(67,1),(68,1),(69,1),(74,1),(120,1),(125,1),(163,1),(166,1)}
        45:{2,3,5,6}:{(24,1),(34,1),(65,1),(70,1),(71,1),(85,1),(118,1),(131,1),(133,1),(164,1),(168,1)}
        46:{1,2,5,7}:{(24,1),(25,1),(26,1),(66,1),(71,1),(72,1),(159,1)}
        47:{1,3,6,7}:{(25,1),(27,1),(36,1),(67,1),(72,1),(120,1),(194,1)}
        48:{2,6,7}:{(26,1),(27,1)}
        49:{3,5,6,7}:{(27,1),(28,1),(69,1),(73,1),(74,1),(125,1)}
        50:{1,2,5}:{(29,1),(38,1),(63,1),(75,1)}
        51:{2,3,5,7}:{(29,1),(32,1),(39,1),(64,1),(76,1),(77,1),(79,1),(88,1),(208,1)}
        52:{3,5}:{(30,1),(65,1),(78,1)}
        53:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(66,1),(76,1),(79,1),(80,1),(84,1),(121,1),(123,1),(126,1),(133,1),(135,1),(159,1),(162,1),(166,1),(169,1),(173,1),(192,1),(208,1)}
        54:{1,4,6}:{(31,1),(33,1),(36,1),(81,1)}
        55:{2,4,6}:{(32,1),(33,1),(77,1),(82,1)}
        56:{3,5,6}:{(33,1),(69,1),(81,1),(82,1),(83,1)}
        57:{2,4}:{(34,1),(78,1)}
        58:{2,3,5,7}:{(34,1),(35,1),(37,1),(79,1),(84,1),(85,1),(133,1),(176,1),(195,1),(208,1)}
        59:{1,2,6}:{(35,1),(36,1),(85,1)}
        60:{1,3}:{(38,1)}
        61:{1,2,4,7}:{(38,1),(39,1),(76,1),(86,1),(87,1),(126,1)}
        62:{2,3,4,6}:{(39,1),(77,1),(87,1),(88,1),(129,1),(130,1),(171,1),(174,1),(198,1)}
        63:{1,2,6}:{(40,1),(50,1),(89,1),(90,1)}
        64:{2,3,7}:{(40,1),(43,1),(90,1),(93,1)}
        65:{3,6}:{(41,1),(52,1),(93,1)}
        66:{1,2,4,7}:{(41,1),(42,1),(43,1),(46,1),(90,1),(93,1),(99,1),(138,1)}
        67:{1,4,6,7}:{(42,1),(44,1),(47,1),(54,1),(95,1),(148,1),(181,1)}
        68:{2,4,6,7}:{(43,1),(44,1),(48,1),(55,1),(91,1),(96,1),(141,1)}
        69:{3,5,7}:{(44,1),(56,1),(95,1),(96,1),(97,1)}
        70:{2,4,6}:{(45,1),(57,1),(92,1),(98,1),(99,1),(154,1)}
        71:{2,3,5,7}:{(45,1),(46,1),(93,1),(99,1),(100,1),(142,1),(144,1),(147,1)}
        72:{1,2,6,7}:{(46,1),(47,1),(48,1),(59,1),(100,1),(177,1),(204,1)}
        73:{2,5,6,7}:{(48,1),(49,1),(96,1),(101,1)}
        74:{4,6,7}:{(49,1),(97,1)}
        75:{1,3,5}:{(50,1),(52,1),(60,1),(89,1),(102,1),(137,1)}
        76:{1,2,5,7}:{(50,1),(51,1),(61,1),(90,1),(103,1),(104,1),(112,1)}
        77:{2,3,6}:{(51,1),(55,1),(104,1),(107,1),(209,1)}
        78:{3,4}:{(52,1),(57,1),(102,1)}
        79:{3,5,7}:{(52,1),(53,1),(93,1),(106,1),(107,1),(153,1),(157,1),(180,1)}
        80:{1,2,4,6}:{(53,1),(54,1),(55,1),(59,1),(104,1),(107,1),(108,1),(110,1),(146,1),(149,1),(154,1),(177,1),(201,1),(209,1)}
        81:{1,5,6}:{(54,1),(56,1),(95,1)}
        82:{2,5,6}:{(55,1),(56,1),(96,1)}
        83:{4,5,6}:{(56,1),(97,1),(154,1)}
        84:{2,4,7}:{(57,1),(58,1),(106,1),(110,1),(189,1)}
        85:{2,3,6}:{(58,1),(59,1),(107,1),(110,1),(209,1)}
        86:{1,3,7}:{(60,1),(61,1),(111,1),(180,1)}
        87:{1,2,4,6}:{(61,1),(62,1),(104,1),(111,1),(112,1),(149,1),(156,1)}
        88:{2,3,5}:{(62,1),(112,1),(113,1),(153,1),(157,1),(205,1)}
        89:{1,3,6}:{(63,1),(65,1),(75,1),(114,1),(115,1)}
        90:{1,2,7}:{(63,1),(64,1),(115,1)}
        91:{2,3,6,7}:{(64,1),(68,1),(77,1),(116,1),(117,1),(120,1),(125,1)}
        92:{3,4,6}:{(65,1),(70,1),(78,1),(114,1),(118,1),(119,1),(164,1)}
        93:{3,7}:{(65,1),(66,1)}
        94:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(72,1),(80,1),(116,1),(120,1),(121,1),(124,1),(160,1),(162,1),(166,1)}
        95:{1,5,7}:{(67,1),(69,1),(81,1)}
        96:{2,5,7}:{(68,1),(69,1),(82,1)}
        97:{4,5,7}:{(69,1),(74,1),(83,1),(166,1)}
        98:{2,4,5}:{(70,1),(118,1),(133,1),(173,1)}
        99:{2,4,7}:{(70,1),(71,1),(119,1),(166,1)}
       100:{2,3,6,7}:{(71,1),(72,1),(85,1),(120,1),(124,1),(164,1),(195,1)}
       101:{2,4,6,7}:{(73,1),(74,1),(122,1),(125,1)}
       102:{1,4}:{(75,1),(78,1)}
       103:{1,3,5,7}:{(75,1),(76,1),(79,1),(86,1),(115,1),(126,1),(127,1),(134,1),(159,1),(169,1)}
       104:{1,2,6}:{(76,1),(77,1),(127,1)}
       105:{2,3,5,6}:{(77,1),(82,1),(88,1),(117,1),(128,1),(129,1),(131,1),(132,1),(171,1)}
       106:{3,4,7}:{(78,1),(79,1),(84,1),(126,1),(130,1),(166,1),(174,1)}
       107:{3,6}:{(79,1),(80,1)}
       108:{1,2,5,6}:{(80,1),(81,1),(82,1),(121,1),(131,1),(133,1),(168,1),(169,1),(191,1)}
       109:{2,4,5,6}:{(82,1),(83,1),(122,1),(129,1),(132,1)}
       110:{2,4,6}:{(84,1),(85,1),(130,1),(133,1)}
       111:{1,3,6}:{(86,1),(87,1),(134,1),(171,1)}
       112:{1,2,5}:{(87,1),(88,1),(134,1),(169,1)}
       113:{2,4,5}:{(88,1),(129,1),(136,1),(173,1)}
       114:{1,4,6}:{(89,1),(92,1),(102,1),(137,1),(138,1),(177,1)}
       115:{1,3,7}:{(89,1),(90,1),(93,1),(138,1)}
       116:{1,2,6,7}:{(90,1),(91,1),(104,1),(139,1),(140,1),(148,1),(209,1)}
       117:{2,3,5,7}:{(91,1),(96,1),(105,1),(140,1),(141,1),(144,1),(145,1),(180,1)}
       118:{3,5}:{(92,1),(98,1),(137,1)}
       119:{3,4,7}:{(92,1),(93,1),(99,1),(138,1),(142,1)}
       120:{3,6,7}:{(93,1),(94,1),(107,1),(144,1),(180,1)}
       121:{1,2,5,7}:{(94,1),(95,1),(96,1),(108,1),(144,1),(147,1),(178,1)}
       122:{2,4,5,7}:{(96,1),(97,1),(101,1),(109,1),(141,1),(145,1)}
       123:{2,4,5,7}:{(98,1),(99,1),(142,1),(146,1),(147,1),(183,1)}
       124:{2,4,6,7}:{(99,1),(100,1),(110,1),(143,1),(146,1),(147,1),(203,1),(209,1)}
       125:{3,6,7}:{(101,1),(145,1),(148,1)}
       126:{1,4,7}:{(102,1),(103,1),(106,1),(149,1),(156,1)}
       127:{1,3,6}:{(103,1),(104,1),(107,1),(149,1),(177,1)}
       128:{1,2,5,6}:{(104,1),(105,1),(112,1),(140,1),(150,1),(151,1),(155,1),(205,1),(209,1)}
       129:{2,4,6}:{(105,1),(113,1),(141,1),(152,1),(154,1)}
       130:{3,4,6}:{(106,1),(107,1),(110,1),(149,1),(153,1),(154,1)}
       131:{3,5,6}:{(107,1),(108,1),(144,1),(153,1),(154,1)}
       132:{3,5,6}:{(109,1),(145,1),(152,1),(155,1)}
       133:{2,5}:{(110,1),(153,1)}
       134:{1,3,5}:{(111,1),(112,1),(156,1),(157,1)}
       135:{1,2,4,5}:{(112,1),(113,1),(151,1),(156,1),(157,1),(158,1),(184,1),(189,1),(190,1),(205,1)}
       136:{3,4,5}:{(113,1),(152,1),(157,1),(158,1)}
       137:{1,5}:{(114,1),(118,1)}
       138:{1,4,7}:{(114,1),(115,1),(119,1),(159,1)}
       139:{1,3,6,7}:{(115,1),(116,1),(120,1),(127,1),(160,1),(161,1),(207,1)}
       140:{1,2,5,7}:{(116,1),(117,1),(128,1),(161,1),(162,1),(167,1),(208,1)}
       141:{2,4,7}:{(117,1),(129,1),(163,1),(166,1)}
       142:{3,5,7}:{(118,1),(119,1),(123,1),(159,1),(164,1)}
       143:{3,4,6,7}:{(119,1),(120,1),(124,1),(130,1),(160,1),(164,1),(165,1),(166,1),(193,1),(196,1),(207,1)}
       144:{3,5,7}:{(120,1),(121,1),(131,1),(166,1)}
       145:{3,5,7}:{(122,1),(125,1),(132,1),(163,1),(167,1)}
       146:{2,4,6}:{(123,1),(164,1),(168,1),(196,1)}
       147:{2,5,7}:{(124,1),(133,1),(165,1),(168,1)}
       148:{1,6,7}:{(125,1),(167,1)}
       149:{1,4,6}:{(126,1),(127,1),(130,1),(169,1)}
       150:{1,3,5,6}:{(127,1),(128,1),(131,1),(134,1),(161,1),(169,1),(170,1),(171,1),(191,1),(197,1),(207,1)}
       151:{1,2,4,6}:{(128,1),(129,1),(135,1),(162,1),(170,1),(171,1),(172,1),(198,1),(199,1)}
       152:{3,4,6}:{(129,1),(132,1),(136,1),(163,1),(171,1),(172,1)}
       153:{3,5}:{(130,1),(133,1),(169,1),(173,1)}
       154:{4,6}:{(131,1),(166,1),(173,1)}
       155:{1,5,6}:{(132,1),(167,1),(172,1)}
       156:{1,4}:{(134,1),(174,1)}
       157:{3,5}:{(135,1),(171,1),(174,1)}
       158:{1,4,5}:{(136,1),(172,1),(175,1)}
       159:{1,5,7}:{(137,1),(138,1),(142,1),(177,1)}
       160:{1,4,6,7}:{(138,1),(139,1),(143,1),(149,1),(177,1),(178,1),(179,1),(201,1)}
       161:{1,3,5,7}:{(139,1),(140,1),(144,1),(150,1),(178,1),(179,1),(180,1),(202,1)}
       162:{1,2,4,7}:{(140,1),(141,1),(151,1),(179,1),(180,1),(181,1),(203,1),(204,1)}
       163:{3,4,7}:{(141,1),(145,1),(152,1),(180,1),(181,1)}
       164:{3,6}:{(142,1),(146,1),(177,1)}
       165:{3,5,7}:{(143,1),(147,1),(153,1),(178,1),(182,1),(183,1)}
       166:{4,7}:{(144,1),(154,1)}
       167:{1,5,7}:{(145,1),(148,1),(155,1),(181,1)}
       168:{2,5,6}:{(146,1),(147,1),(182,1),(209,1)}
       169:{1,5}:{(149,1),(153,1)}
       170:{1,4,6}:{(150,1),(154,1),(156,1),(179,1),(184,1),(185,1)}
       171:{3,6}:{(151,1),(157,1),(180,1)}
       172:{1,4,6}:{(152,1),(155,1),(158,1),(181,1),(186,1)}
       173:{4,5}:{(153,1),(154,1)}
       174:{3,4}:{(156,1),(157,1),(189,1)}
       175:{1,3,5}:{(157,1),(158,1),(186,1),(188,1),(190,1)}
       176:{2,3,5}:{(157,1),(187,1),(189,1),(190,1),(205,1),(206,1)}
       177:{1,6}:{(159,1),(164,1)}
       178:{1,5,7}:{(160,1),(165,1),(169,1),(191,1)}
       179:{1,4,7}:{(161,1),(166,1),(170,1),(193,1)}
       180:{3,7}:{(162,1),(171,1)}
       181:{1,4,7}:{(163,1),(167,1),(172,1),(194,1)}
       182:{3,5,6}:{(164,1),(165,1),(168,1),(191,1),(196,1),(207,1)}
       183:{4,5,7}:{(165,1),(166,1),(173,1),(196,1)}
       184:{1,4,5}:{(169,1),(170,1),(173,1),(197,1)}
       185:{3,4,6}:{(170,1),(171,1),(174,1),(193,1),(197,1),(198,1),(207,1)}
       186:{1,3,6}:{(171,1),(172,1),(175,1),(194,1),(199,1)}
       187:{2,3,6}:{(171,1),(176,1),(195,1),(198,1),(199,1)}
       188:{1,3,4}:{(174,1),(175,1),(200,1)}
       189:{2,4}:{(174,1),(176,1)}
       190:{1,2,5}:{(175,1),(176,1),(199,1),(200,1)}
       191:{1,5,6}:{(177,1),(178,1),(182,1),(201,1)}
       192:{1,4,5,7}:{(178,1),(179,1),(183,1),(184,1),(201,1),(202,1)}
       193:{3,4,7}:{(179,1),(180,1),(185,1),(202,1),(203,1)}
       194:{1,3,7}:{(180,1),(181,1),(186,1),(204,1)}
       195:{2,3,7}:{(180,1),(187,1),(203,1),(204,1)}
       196:{4,6}:{(182,1),(183,1)}
       197:{3,5}:{(184,1),(185,1),(205,1)}
       198:{2,4,6}:{(185,1),(187,1),(189,1),(203,1),(205,1),(209,1)}
       199:{1,2,6}:{(186,1),(187,1),(190,1),(204,1)}
       200:{1,2,4}:{(188,1),(189,1),(190,1),(206,1)}
       201:{1,4,6}:{(191,1),(192,1),(196,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(197,1),(207,1),(208,1)}
       203:{2,4,7}:{(193,1),(195,1),(198,1),(208,1)}
       204:{1,2,7}:{(194,1),(195,1),(199,1)}
       205:{2,5}:{(197,1),(198,1)}
       206:{2,3}:{(200,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{2,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

 679 :   0:{1,3,4,7}:{(2,1),(3,1),(4,1),(60,1),(67,1),(128,1),(181,1),(185,1)}
         1:{3,4,5,7}:{(5,1),(6,1),(7,1),(33,1),(34,1),(47,1),(98,1),(108,1),(143,1),(151,1),(154,1)}
         2:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(12,1),(34,1),(165,1),(191,1),(198,1)}
         3:{1,2,4,7}:{(0,1),(8,1),(10,1),(11,1),(41,1),(199,1)}
         4:{1,3,4,6}:{(0,1),(9,1),(11,1),(12,1),(44,1),(91,1),(101,1),(103,1),(161,1)}
         5:{1,4,5,7}:{(1,1),(2,1),(17,1),(26,1),(57,1),(67,1),(139,1),(170,1)}
         6:{2,4,5,7}:{(1,1),(14,1),(18,1),(58,1),(74,1),(77,1),(111,1),(129,1)}
         7:{3,4,6}:{(1,1),(17,1),(18,1),(19,1),(61,1),(123,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(21,1),(22,1),(25,1),(187,1),(203,1)}
         9:{1,3,6}:{(2,1),(17,1),(22,1),(61,1),(205,1)}
        10:{2,3,7}:{(3,1),(24,1),(128,1),(206,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(22,1),(24,1),(25,1),(68,1),(72,1)}
        12:{1,3,5}:{(4,1),(25,1),(26,1),(73,1),(122,1),(183,1)}
        13:{2,3,4,7}:{(14,1),(27,1),(28,1),(60,1),(111,1),(135,1),(169,1),(202,1)}
        14:{2,3,5,7}:{(6,1),(13,1),(29,1),(30,1),(34,1),(50,1),(105,1),(159,1),(208,1)}
        15:{3,4,6,7}:{(7,1),(31,1),(32,1),(33,1),(86,1),(87,1),(98,1),(143,1),(148,1),(149,1),(151,1)}
        16:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(29,1),(34,1),(35,1),(41,1),(46,1),(80,1),(88,1),(97,1),(99,1),(107,1),(142,1),(144,1),(151,1),(154,1),(156,1),(189,1),(198,1),(208,1)}
        17:{1,4,6}:{(5,1),(7,1),(9,1),(36,1)}
        18:{2,4,6}:{(6,1),(7,1),(30,1),(37,1)}
        19:{3,5,6}:{(7,1),(33,1),(36,1),(37,1),(38,1)}
        20:{1,3,6,7}:{(9,1),(31,1),(39,1),(40,1),(87,1),(148,1),(191,1)}
        21:{2,3,5,7}:{(8,1),(10,1),(34,1),(41,1),(42,1),(45,1),(99,1),(166,1),(192,1),(208,1)}
        22:{1,2,6}:{(8,1),(9,1),(42,1)}
        23:{1,3,5,6}:{(9,1),(12,1),(36,1),(40,1),(43,1),(44,1),(92,1),(93,1),(101,1)}
        24:{2,3,6}:{(10,1),(11,1),(45,1),(101,1)}
        25:{1,2,5}:{(11,1),(12,1),(45,1),(99,1)}
        26:{1,4,5}:{(12,1),(44,1),(47,1),(154,1)}
        27:{1,2,4,7}:{(13,1),(29,1),(48,1),(49,1),(80,1),(163,1)}
        28:{2,3,4,6}:{(13,1),(30,1),(49,1),(50,1),(83,1),(91,1),(146,1),(164,1),(194,1)}
        29:{1,2,5,7}:{(14,1),(27,1),(52,1),(53,1),(76,1),(136,1),(182,1)}
        30:{2,3,6}:{(14,1),(18,1),(53,1),(61,1),(209,1)}
        31:{1,4,6,7}:{(15,1),(17,1),(20,1),(57,1),(67,1),(170,1),(176,1)}
        32:{2,4,6,7}:{(15,1),(18,1),(51,1),(58,1),(111,1),(129,1),(175,1)}
        33:{3,5,7}:{(15,1),(19,1),(57,1),(58,1),(59,1)}
        34:{3,5,7}:{(16,1),(60,1),(61,1),(73,1),(122,1),(128,1),(138,1),(169,1)}
        35:{1,2,4,6}:{(16,1),(17,1),(18,1),(22,1),(53,1),(61,1),(62,1),(68,1),(112,1),(123,1),(179,1),(200,1),(205,1),(209,1)}
        36:{1,5,6}:{(17,1),(19,1),(57,1)}
        37:{2,5,6}:{(18,1),(19,1),(58,1)}
        38:{4,5,6}:{(19,1),(59,1),(123,1)}
        39:{1,2,6,7}:{(20,1),(22,1),(65,1),(66,1),(175,1),(203,1),(205,1)}
        40:{1,3,5,7}:{(20,1),(23,1),(57,1),(66,1),(67,1),(119,1),(120,1),(128,1)}
        41:{2,4,7}:{(21,1),(60,1),(68,1),(72,1),(186,1)}
        42:{2,3,6}:{(21,1),(22,1),(61,1),(68,1),(209,1)}
        43:{1,2,5,6}:{(22,1),(23,1),(25,1),(66,1),(69,1),(70,1),(124,1),(183,1),(205,1)}
        44:{1,4,6}:{(23,1),(26,1),(67,1),(71,1),(123,1)}
        45:{2,3,5}:{(24,1),(25,1),(72,1),(73,1)}
        46:{1,2,4,5}:{(25,1),(26,1),(70,1),(72,1),(73,1),(74,1),(130,1),(134,1),(136,1),(183,1)}
        47:{3,4,5}:{(26,1),(71,1),(73,1),(74,1)}
        48:{1,3,7}:{(27,1),(75,1),(169,1),(184,1)}
        49:{1,2,4,6}:{(27,1),(28,1),(53,1),(75,1),(76,1),(112,1),(137,1)}
        50:{2,3,5}:{(28,1),(76,1),(77,1),(122,1),(138,1),(204,1)}
        51:{2,3,6,7}:{(30,1),(32,1),(78,1),(79,1),(87,1),(149,1),(159,1)}
        52:{1,3,5,7}:{(29,1),(34,1),(48,1),(80,1),(81,1),(104,1),(106,1),(144,1),(158,1),(198,1)}
        53:{1,2,6}:{(29,1),(30,1),(81,1)}
        54:{2,3,5,6}:{(30,1),(37,1),(50,1),(79,1),(82,1),(83,1),(92,1),(94,1),(146,1)}
        55:{3,5,6,7}:{(33,1),(84,1),(85,1),(86,1),(148,1),(149,1)}
        56:{1,2,4,6,7}:{(31,1),(32,1),(35,1),(39,1),(78,1),(87,1),(88,1),(95,1),(97,1),(140,1),(142,1),(151,1)}
        57:{1,5,7}:{(31,1),(33,1),(36,1)}
        58:{2,5,7}:{(32,1),(33,1),(37,1)}
        59:{4,5,7}:{(33,1),(38,1),(86,1),(151,1)}
        60:{3,4,7}:{(34,1),(41,1),(80,1),(91,1),(103,1),(151,1),(164,1)}
        61:{3,6}:{(34,1),(35,1)}
        62:{1,2,5,6}:{(35,1),(36,1),(37,1),(88,1),(92,1),(99,1),(144,1),(155,1),(188,1)}
        63:{1,4,5,6}:{(36,1),(38,1),(44,1),(89,1),(93,1)}
        64:{2,4,5,6}:{(37,1),(38,1),(83,1),(90,1),(94,1)}
        65:{2,3,6,7}:{(39,1),(42,1),(87,1),(95,1),(96,1),(192,1),(197,1)}
        66:{1,2,5,7}:{(39,1),(40,1),(43,1),(96,1),(97,1),(152,1),(198,1)}
        67:{1,4,7}:{(40,1),(44,1),(98,1),(151,1)}
        68:{2,4,6}:{(41,1),(42,1),(91,1),(99,1)}
        69:{2,3,5,6}:{(42,1),(43,1),(45,1),(92,1),(96,1),(99,1),(100,1),(101,1),(155,1),(160,1),(197,1)}
        70:{1,2,4,6}:{(43,1),(44,1),(46,1),(97,1),(100,1),(101,1),(102,1),(161,1),(162,1)}
        71:{3,4,6}:{(44,1),(47,1),(93,1),(98,1),(101,1),(102,1)}
        72:{2,4}:{(45,1),(103,1)}
        73:{3,5}:{(46,1),(101,1),(103,1)}
        74:{2,4,5}:{(47,1),(102,1),(105,1)}
        75:{1,3,6}:{(48,1),(49,1),(106,1),(146,1)}
        76:{1,2,5}:{(49,1),(50,1),(106,1),(144,1)}
        77:{2,4,5}:{(50,1),(83,1),(108,1),(154,1)}
        78:{1,2,6,7}:{(51,1),(53,1),(109,1),(110,1),(176,1),(182,1),(209,1)}
        79:{2,3,5,7}:{(51,1),(54,1),(58,1),(110,1),(111,1),(119,1),(121,1),(169,1)}
        80:{1,4,7}:{(52,1),(60,1),(112,1),(134,1),(137,1)}
        81:{1,3,6}:{(52,1),(53,1),(61,1),(112,1),(205,1)}
        82:{1,2,5,6}:{(53,1),(54,1),(76,1),(110,1),(113,1),(114,1),(125,1),(204,1),(209,1)}
        83:{2,4,6}:{(54,1),(77,1),(111,1),(115,1),(123,1)}
        84:{1,5,6,7}:{(55,1),(57,1),(116,1),(176,1)}
        85:{2,5,6,7}:{(55,1),(58,1),(117,1),(175,1)}
        86:{4,6,7}:{(55,1),(59,1)}
        87:{3,6,7}:{(56,1),(61,1),(119,1),(128,1),(169,1)}
        88:{1,2,5,7}:{(56,1),(57,1),(58,1),(62,1),(119,1),(126,1),(167,1)}
        89:{1,4,5,7}:{(57,1),(59,1),(63,1),(67,1),(116,1),(120,1)}
        90:{2,4,5,7}:{(58,1),(59,1),(64,1),(111,1),(117,1),(121,1)}
        91:{3,4,6}:{(60,1),(61,1),(68,1),(112,1),(122,1),(123,1)}
        92:{3,5,6}:{(61,1),(62,1),(119,1),(122,1),(123,1)}
        93:{3,5,6}:{(63,1),(71,1),(120,1),(124,1)}
        94:{3,5,6}:{(64,1),(115,1),(121,1),(125,1)}
        95:{2,4,6,7}:{(65,1),(68,1),(118,1),(126,1),(127,1),(179,1),(202,1),(209,1)}
        96:{2,3,5,7}:{(65,1),(66,1),(69,1),(119,1),(126,1),(127,1),(128,1),(180,1)}
        97:{1,2,4,7}:{(66,1),(67,1),(70,1),(127,1),(128,1),(129,1),(181,1),(182,1)}
        98:{3,4,7}:{(67,1),(71,1),(120,1),(128,1),(129,1)}
        99:{2,5}:{(68,1),(122,1)}
       100:{2,4,6}:{(69,1),(72,1),(123,1),(127,1),(130,1),(131,1)}
       101:{3,6}:{(70,1),(73,1),(128,1)}
       102:{2,4,6}:{(71,1),(74,1),(124,1),(129,1),(133,1)}
       103:{3,4}:{(72,1),(73,1),(134,1)}
       104:{1,3,5}:{(73,1),(132,1),(134,1),(136,1),(183,1),(184,1)}
       105:{2,3,5}:{(73,1),(74,1),(133,1),(135,1),(136,1)}
       106:{1,3,5}:{(75,1),(76,1),(137,1),(138,1)}
       107:{1,2,4,5}:{(76,1),(77,1),(114,1),(137,1),(138,1),(139,1),(171,1),(186,1),(187,1),(204,1)}
       108:{3,4,5}:{(77,1),(115,1),(138,1),(139,1)}
       109:{1,3,6,7}:{(78,1),(81,1),(87,1),(140,1),(141,1),(158,1),(207,1)}
       110:{1,2,5,7}:{(78,1),(79,1),(82,1),(141,1),(142,1),(153,1),(208,1)}
       111:{2,4,7}:{(79,1),(83,1),(143,1),(151,1)}
       112:{1,4,6}:{(80,1),(81,1),(91,1),(144,1)}
       113:{1,3,5,6}:{(81,1),(82,1),(92,1),(106,1),(141,1),(144,1),(145,1),(146,1),(188,1),(193,1),(207,1)}
       114:{1,2,4,6}:{(82,1),(83,1),(107,1),(142,1),(145,1),(146,1),(147,1),(194,1),(195,1)}
       115:{3,4,6}:{(83,1),(94,1),(108,1),(143,1),(146,1),(147,1)}
       116:{1,4,6,7}:{(84,1),(86,1),(89,1),(148,1)}
       117:{2,4,6,7}:{(85,1),(86,1),(90,1),(149,1)}
       118:{3,4,6,7}:{(87,1),(91,1),(95,1),(140,1),(150,1),(151,1),(157,1),(190,1),(196,1),(197,1),(207,1)}
       119:{3,5,7}:{(87,1),(88,1),(92,1),(151,1)}
       120:{3,5,7}:{(89,1),(93,1),(98,1),(148,1),(152,1)}
       121:{3,5,7}:{(90,1),(94,1),(143,1),(149,1),(153,1)}
       122:{3,5}:{(91,1),(99,1),(144,1),(154,1)}
       123:{4,6}:{(92,1),(151,1),(154,1)}
       124:{2,5,6}:{(93,1),(102,1),(152,1)}
       125:{1,5,6}:{(94,1),(147,1),(153,1)}
       126:{2,5,7}:{(95,1),(99,1),(150,1),(155,1)}
       127:{2,4,7}:{(96,1),(100,1),(151,1),(157,1)}
       128:{3,7}:{(97,1),(101,1)}
       129:{2,4,7}:{(98,1),(102,1),(152,1),(159,1)}
       130:{2,4,5}:{(99,1),(100,1),(154,1),(160,1)}
       131:{3,4,6}:{(100,1),(101,1),(103,1),(157,1),(160,1),(161,1),(197,1)}
       132:{1,3,6}:{(101,1),(104,1),(158,1),(161,1),(162,1)}
       133:{2,3,6}:{(101,1),(102,1),(105,1),(159,1),(162,1)}
       134:{1,4}:{(103,1),(104,1)}
       135:{2,3,4}:{(103,1),(105,1),(163,1)}
       136:{1,2,5}:{(104,1),(105,1),(162,1),(163,1)}
       137:{1,4}:{(106,1),(164,1)}
       138:{3,5}:{(107,1),(146,1),(164,1)}
       139:{1,4,5}:{(108,1),(147,1),(165,1)}
       140:{1,4,6,7}:{(109,1),(112,1),(118,1),(167,1),(168,1),(181,1),(200,1),(205,1)}
       141:{1,3,5,7}:{(109,1),(110,1),(113,1),(119,1),(167,1),(168,1),(169,1),(201,1)}
       142:{1,2,4,7}:{(110,1),(111,1),(114,1),(168,1),(169,1),(170,1),(202,1),(203,1)}
       143:{3,4,7}:{(111,1),(115,1),(121,1),(169,1),(170,1)}
       144:{1,5}:{(112,1),(122,1)}
       145:{1,4,6}:{(113,1),(123,1),(137,1),(168,1),(171,1),(172,1)}
       146:{3,6}:{(114,1),(138,1),(169,1)}
       147:{1,4,6}:{(115,1),(125,1),(139,1),(170,1),(173,1)}
       148:{3,6,7}:{(116,1),(120,1),(175,1)}
       149:{3,6,7}:{(117,1),(121,1),(176,1)}
       150:{3,5,7}:{(118,1),(122,1),(126,1),(167,1),(177,1),(178,1)}
       151:{4,7}:{(119,1),(123,1)}
       152:{2,5,7}:{(120,1),(124,1),(129,1),(175,1)}
       153:{1,5,7}:{(121,1),(125,1),(170,1),(176,1)}
       154:{4,5}:{(122,1),(123,1)}
       155:{2,5,6}:{(126,1),(177,1),(179,1),(209,1)}
       156:{2,4,5,7}:{(126,1),(127,1),(130,1),(178,1),(179,1),(180,1)}
       157:{3,4,7}:{(127,1),(128,1),(131,1),(180,1),(181,1)}
       158:{1,3,7}:{(128,1),(132,1),(181,1),(182,1)}
       159:{2,3,7}:{(128,1),(129,1),(133,1),(182,1)}
       160:{3,5}:{(130,1),(131,1),(183,1)}
       161:{1,4,6}:{(131,1),(132,1),(134,1),(181,1),(183,1),(205,1)}
       162:{1,2,6}:{(132,1),(133,1),(136,1),(182,1)}
       163:{1,2,4}:{(134,1),(135,1),(136,1),(184,1)}
       164:{3,4}:{(137,1),(138,1),(186,1)}
       165:{1,3,5}:{(138,1),(139,1),(173,1),(185,1),(187,1)}
       166:{2,3,5}:{(138,1),(174,1),(186,1),(187,1),(204,1),(206,1)}
       167:{1,5,7}:{(140,1),(144,1),(150,1),(188,1)}
       168:{1,4,7}:{(141,1),(145,1),(151,1),(190,1)}
       169:{3,7}:{(142,1),(146,1)}
       170:{1,4,7}:{(143,1),(147,1),(153,1),(191,1)}
       171:{1,4,5}:{(144,1),(145,1),(154,1),(193,1)}
       172:{3,4,6}:{(145,1),(146,1),(164,1),(190,1),(193,1),(194,1),(207,1)}
       173:{1,3,6}:{(146,1),(147,1),(165,1),(191,1),(195,1)}
       174:{2,3,6}:{(146,1),(166,1),(192,1),(194,1),(195,1)}
       175:{2,6,7}:{(148,1),(152,1)}
       176:{1,6,7}:{(149,1),(153,1)}
       177:{3,5,6}:{(150,1),(155,1),(188,1),(196,1),(197,1),(207,1)}
       178:{4,5,7}:{(150,1),(151,1),(154,1),(196,1)}
       179:{2,4,6}:{(155,1),(156,1),(196,1),(197,1)}
       180:{3,5,7}:{(156,1),(157,1),(160,1),(197,1),(198,1)}
       181:{1,4,7}:{(157,1),(158,1),(161,1),(198,1)}
       182:{1,2,7}:{(158,1),(159,1),(162,1)}
       183:{1,5}:{(160,1),(161,1)}
       184:{1,3}:{(163,1)}
       185:{1,3,4}:{(164,1),(165,1),(199,1)}
       186:{2,4}:{(164,1),(166,1)}
       187:{1,2,5}:{(165,1),(166,1),(195,1),(199,1)}
       188:{1,5,6}:{(167,1),(177,1),(200,1),(205,1)}
       189:{1,4,5,7}:{(167,1),(168,1),(171,1),(178,1),(200,1),(201,1)}
       190:{3,4,7}:{(168,1),(169,1),(172,1),(201,1),(202,1)}
       191:{1,3,7}:{(169,1),(170,1),(173,1),(203,1)}
       192:{2,3,7}:{(169,1),(174,1),(202,1),(203,1)}
       193:{3,5}:{(171,1),(172,1),(204,1)}
       194:{2,4,6}:{(172,1),(174,1),(186,1),(202,1),(204,1),(209,1)}
       195:{1,2,6}:{(173,1),(174,1),(187,1),(203,1)}
       196:{4,6}:{(177,1),(178,1)}
       197:{3,6}:{(179,1),(180,1),(205,1)}
       198:{1,5,7}:{(180,1),(181,1),(183,1),(205,1)}
       199:{1,2,4}:{(185,1),(186,1),(187,1),(206,1)}
       200:{1,4,6}:{(188,1),(189,1),(196,1),(207,1)}
       201:{3,5,7}:{(189,1),(190,1),(193,1),(207,1),(208,1)}
       202:{2,4,7}:{(190,1),(192,1),(194,1),(208,1)}
       203:{1,2,7}:{(191,1),(192,1),(195,1)}
       204:{2,5}:{(193,1),(194,1)}
       205:{1,6}:{(197,1),(198,1)}
       206:{2,3}:{(199,1)}
       207:{3,6}:{(200,1),(201,1),(209,1)}
       208:{2,5,7}:{(201,1),(202,1),(204,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

 680 :  0:{1,3,4}:{(2,1),(3,1),(47,1)}
        1:{3,4,5}:{(5,1),(6,1),(7,1),(33,1),(73,1)}
        2:{1,3,5}:{(0,1),(6,1),(8,1),(9,1),(33,1)}
        3:{1,2,4}:{(0,1),(9,1),(10,1),(36,1)}
        4:{4,5,6}:{(14,1),(15,1),(65,1),(83,1)}
        5:{3,4,6}:{(1,1),(15,1),(16,1),(17,1),(18,1),(46,1),(65,1)}
        6:{1,4,5}:{(1,1),(2,1),(17,1)}
        7:{2,4,5}:{(1,1),(12,1),(18,1)}
        8:{1,3,6}:{(2,1),(17,1),(20,1),(21,1),(46,1)}
        9:{1,2,5}:{(2,1),(3,1),(21,1),(22,1)}
       10:{2,3}:{(3,1)}
       11:{2,3,4}:{(12,1),(23,1),(47,1)}
       12:{2,3,5}:{(7,1),(11,1),(24,1),(25,1),(33,1)}
       13:{5,6,7}:{(26,1),(81,1)}
       14:{4,5,7}:{(4,1),(26,1),(27,1),(72,1),(81,1)}
       15:{3,5,6}:{(4,1),(5,1),(27,1),(28,1),(29,1)}
       16:{3,4,7}:{(5,1),(27,1),(30,1),(31,1),(57,1),(72,1)}
       17:{1,4,6}:{(5,1),(6,1),(8,1),(28,1),(30,1)}
       18:{2,4,6}:{(5,1),(7,1),(24,1),(29,1),(31,1)}
       19:{1,2,4,5}:{(6,1),(7,1),(9,1),(25,1),(32,1),(33,1),(36,1),(52,1),(60,1),(70,1),(73,1)}
       20:{1,3,7}:{(8,1),(30,1),(34,1),(57,1)}
       21:{1,2,6}:{(8,1),(9,1),(34,1),(35,1)}
       22:{2,3,5}:{(9,1),(10,1),(33,1),(35,1),(36,1),(60,1)}
       23:{1,2,4}:{(11,1),(25,1),(37,1),(52,1)}
       24:{2,3,6}:{(12,1),(18,1),(38,1),(39,1),(46,1)}
       25:{1,2,5}:{(12,1),(23,1),(39,1),(40,1)}
       26:{4,6,7}:{(13,1),(14,1),(41,1)}
       27:{3,5,7}:{(14,1),(15,1),(16,1),(41,1),(42,1),(43,1)}
       28:{1,5,6}:{(15,1),(17,1),(42,1)}
       29:{2,5,6}:{(15,1),(18,1),(43,1)}
       30:{1,4,7}:{(16,1),(17,1),(20,1),(42,1)}
       31:{2,4,7}:{(16,1),(18,1),(38,1),(43,1)}
       32:{1,2,4,6}:{(17,1),(18,1),(19,1),(21,1),(39,1),(44,1),(45,1),(46,1),(49,1),(62,1),(65,1)}
       33:{3,5}:{(19,1),(46,1),(47,1)}
       34:{1,2,7}:{(20,1),(21,1),(48,1)}
       35:{2,3,6}:{(21,1),(22,1),(46,1),(48,1),(49,1)}
       36:{2,4}:{(22,1),(47,1)}
       37:{1,3}:{(23,1)}
       38:{2,3,7}:{(24,1),(31,1),(50,1),(57,1)}
       39:{1,2,6}:{(24,1),(25,1),(50,1),(51,1)}
       40:{1,3,5}:{(25,1),(33,1),(37,1),(51,1),(52,1),(70,1)}
       41:{3,6,7}:{(26,1),(27,1),(53,1),(54,1)}
       42:{1,5,7}:{(27,1),(28,1),(30,1),(53,1)}
       43:{2,5,7}:{(27,1),(29,1),(31,1),(54,1)}
       44:{1,2,5,6}:{(28,1),(29,1),(32,1),(55,1),(56,1),(60,1),(70,1),(75,1),(80,1)}
       45:{1,2,4,7}:{(30,1),(31,1),(32,1),(34,1),(50,1),(55,1),(57,1),(59,1),(69,1),(72,1)}
       46:{3,6}:{(32,1),(33,1),(57,1)}
       47:{3,4}:{(33,1),(36,1),(52,1)}
       48:{2,3,7}:{(34,1),(35,1),(57,1),(59,1)}
       49:{2,4,6}:{(35,1),(36,1),(58,1),(59,1),(60,1),(75,1)}
       50:{1,2,7}:{(38,1),(39,1),(61,1)}
       51:{1,3,6}:{(39,1),(40,1),(46,1),(61,1),(62,1)}
       52:{1,4}:{(40,1),(47,1)}
       53:{1,6,7}:{(41,1),(42,1)}
       54:{2,6,7}:{(41,1),(43,1)}
       55:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(63,1),(64,1),(68,1),(76,1)}
       56:{3,5,6}:{(44,1),(46,1),(64,1),(65,1),(67,1),(79,1),(83,1)}
       57:{3,7}:{(45,1),(46,1)}
       58:{3,4,6}:{(46,1),(47,1),(49,1),(62,1),(65,1),(66,1),(67,1),(79,1)}
       59:{2,4,7}:{(48,1),(49,1),(66,1),(68,1)}
       60:{2,5}:{(49,1),(67,1)}
       61:{1,3,7}:{(50,1),(51,1),(57,1),(69,1)}
       62:{1,4,6}:{(51,1),(52,1),(58,1),(69,1),(70,1),(80,1)}
       63:{1,2,6,7}:{(53,1),(54,1),(55,1),(71,1),(75,1),(80,1)}
       64:{3,5,7}:{(55,1),(56,1),(57,1),(71,1),(72,1),(81,1)}
       65:{4,6}:{(56,1),(72,1),(73,1)}
       66:{3,4,7}:{(57,1),(58,1),(59,1),(69,1),(72,1),(74,1)}
       67:{3,5}:{(58,1),(60,1),(70,1),(73,1)}
       68:{2,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{1,4,7}:{(61,1),(62,1),(66,1),(76,1)}
       70:{1,5}:{(62,1),(67,1)}
       71:{3,6,7}:{(63,1),(64,1),(77,1),(79,1)}
       72:{4,7}:{(64,1),(65,1)}
       73:{4,5}:{(65,1),(67,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(78,1),(79,1)}
       75:{2,6}:{(68,1),(79,1)}
       76:{1,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       78:{4,5,7}:{(72,1),(73,1),(74,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(82,1)}
       80:{1,6}:{(76,1),(79,1)}
       81:{5,7}:{(77,1),(83,1)}
       82:{4,6}:{(78,1),(79,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 681 :   0:{1,3,6,7}:{(4,1),(6,1),(7,1),(25,1),(83,1),(121,1),(146,1)}
         1:{1,3,5,6}:{(5,1),(7,1),(8,1),(29,1),(32,1),(34,1),(70,1),(75,1),(83,1),(121,1),(152,1),(168,1)}
         2:{2,3,6,7}:{(4,1),(9,1),(10,1),(25,1),(88,1),(122,1),(147,1)}
         3:{2,3,5,6}:{(5,1),(10,1),(11,1),(29,1),(39,1),(41,1),(70,1),(76,1),(88,1),(122,1),(153,1),(168,1)}
         4:{1,2,6,7}:{(0,1),(2,1),(13,1),(106,1),(109,1),(141,1),(159,1)}
         5:{1,2,5,6}:{(1,1),(3,1),(13,1),(14,1),(58,1),(65,1),(102,1),(106,1),(109,1),(141,1),(162,1)}
         6:{1,4,6,7}:{(0,1),(15,1),(16,1),(18,1),(56,1),(135,1),(137,1),(142,1)}
         7:{1,3,5,7}:{(0,1),(1,1),(13,1),(16,1),(18,1),(46,1),(50,1),(57,1)}
         8:{1,4,6}:{(1,1),(17,1),(18,1),(19,1),(95,1),(97,1),(172,1)}
         9:{2,4,6,7}:{(2,1),(20,1),(21,1),(23,1),(63,1),(132,1),(138,1),(143,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(13,1),(21,1),(23,1),(46,1),(50,1),(64,1)}
        11:{2,4,6}:{(3,1),(22,1),(23,1),(24,1),(95,1),(98,1),(172,1)}
        12:{1,2,4,6,7}:{(4,1),(6,1),(9,1),(25,1),(26,1),(28,1),(30,1),(37,1),(67,1),(71,1),(73,1),(111,1),(154,1)}
        13:{1,2,5,7}:{(4,1),(5,1),(7,1),(10,1),(28,1),(84,1),(89,1)}
        14:{1,2,4,6}:{(5,1),(8,1),(11,1),(27,1),(28,1),(29,1),(36,1),(43,1),(79,1),(120,1)}
        15:{3,4,6,7}:{(6,1),(25,1),(30,1),(31,1),(35,1),(71,1),(82,1),(83,1),(115,1),(117,1),(124,1)}
        16:{1,5,7}:{(6,1),(31,1),(32,1),(152,1)}
        17:{1,4,5}:{(8,1),(34,1),(116,1),(152,1)}
        18:{1,4,7}:{(7,1),(8,1),(35,1),(71,1)}
        19:{3,4,6}:{(8,1),(29,1),(34,1),(35,1),(36,1),(72,1),(83,1)}
        20:{3,4,6,7}:{(9,1),(25,1),(37,1),(38,1),(42,1),(71,1),(87,1),(88,1),(113,1),(117,1),(126,1)}
        21:{2,5,7}:{(9,1),(38,1),(39,1),(153,1)}
        22:{2,4,5}:{(11,1),(41,1),(116,1),(153,1)}
        23:{2,4,7}:{(10,1),(11,1),(42,1),(71,1)}
        24:{3,4,6}:{(11,1),(29,1),(41,1),(42,1),(43,1),(72,1),(88,1)}
        25:{3,6,7}:{(12,1),(46,1),(50,1),(99,1),(129,1),(163,1)}
        26:{1,2,5,7}:{(12,1),(16,1),(21,1),(46,1),(47,1),(53,1),(60,1),(162,1)}
        27:{1,2,4,5}:{(14,1),(17,1),(22,1),(49,1),(58,1),(65,1),(97,1),(98,1),(102,1),(162,1),(172,1)}
        28:{1,2,4,7}:{(13,1),(14,1),(18,1),(23,1),(50,1),(59,1),(66,1),(103,1)}
        29:{3,6}:{(14,1),(49,1),(50,1),(140,1)}
        30:{2,4,6,7}:{(15,1),(45,1),(53,1),(59,1),(94,1),(104,1),(106,1),(138,1)}
        31:{3,5,7}:{(15,1),(16,1),(53,1),(54,1),(55,1),(136,1)}
        32:{1,5,6}:{(16,1),(54,1),(56,1),(142,1)}
        33:{1,4,5,7}:{(16,1),(17,1),(18,1),(55,1),(56,1),(57,1)}
        34:{3,5}:{(17,1),(19,1),(58,1)}
        35:{3,4,7}:{(18,1),(19,1),(50,1),(57,1),(59,1)}
        36:{2,4,6}:{(19,1),(52,1),(58,1),(59,1),(98,1),(106,1)}
        37:{1,4,6,7}:{(20,1),(44,1),(60,1),(66,1),(92,1),(107,1),(109,1),(137,1)}
        38:{3,5,7}:{(20,1),(21,1),(60,1),(61,1),(62,1),(136,1)}
        39:{2,5,6}:{(21,1),(61,1),(63,1),(143,1)}
        40:{2,4,5,7}:{(21,1),(22,1),(23,1),(62,1),(63,1),(64,1)}
        41:{3,5}:{(22,1),(24,1),(65,1)}
        42:{3,4,7}:{(23,1),(24,1),(50,1),(64,1),(66,1)}
        43:{1,4,6}:{(24,1),(51,1),(65,1),(66,1),(97,1),(109,1)}
        44:{1,3,6,7}:{(25,1),(37,1),(67,1),(68,1),(77,1),(121,1),(126,1)}
        45:{2,3,6,7}:{(25,1),(30,1),(67,1),(69,1),(78,1),(122,1),(124,1)}
        46:{3,5,7}:{(25,1),(26,1),(70,1),(71,1),(168,1)}
        47:{1,2,5,6}:{(26,1),(32,1),(39,1),(70,1),(73,1),(80,1),(85,1),(152,1),(153,1)}
        48:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(33,1),(40,1),(71,1),(73,1),(74,1),(81,1),(84,1),(86,1),(89,1),(111,1),(116,1),(118,1),(119,1),(123,1),(125,1),(127,1),(144,1),(152,1),(153,1)}
        49:{3,5}:{(27,1),(29,1),(72,1)}
        50:{3,7}:{(28,1),(29,1)}
        51:{1,3,6}:{(29,1),(43,1),(75,1),(77,1),(79,1)}
        52:{2,3,6}:{(29,1),(36,1),(76,1),(78,1),(79,1)}
        53:{2,5,7}:{(30,1),(31,1),(80,1),(153,1)}
        54:{3,5,6}:{(31,1),(32,1),(80,1),(82,1),(83,1),(124,1)}
        55:{4,5,7}:{(31,1),(71,1),(82,1),(116,1)}
        56:{1,4,6}:{(32,1),(33,1),(82,1),(83,1)}
        57:{3,5,7}:{(33,1),(34,1),(35,1),(83,1),(84,1)}
        58:{2,5}:{(34,1),(36,1)}
        59:{2,4,7}:{(35,1),(36,1),(78,1),(84,1)}
        60:{1,5,7}:{(37,1),(38,1),(85,1),(152,1)}
        61:{3,5,6}:{(38,1),(39,1),(85,1),(87,1),(88,1),(126,1)}
        62:{4,5,7}:{(38,1),(71,1),(87,1),(116,1)}
        63:{2,4,6}:{(39,1),(40,1),(87,1),(88,1)}
        64:{3,5,7}:{(40,1),(41,1),(42,1),(88,1),(89,1)}
        65:{1,5}:{(41,1),(43,1)}
        66:{1,4,7}:{(42,1),(43,1),(77,1),(89,1)}
        67:{1,2,6,7}:{(44,1),(45,1),(90,1),(103,1),(141,1),(142,1),(143,1)}
        68:{1,3,5,7}:{(44,1),(46,1),(60,1),(90,1),(91,1),(92,1),(108,1),(129,1)}
        69:{2,3,5,7}:{(45,1),(46,1),(53,1),(90,1),(93,1),(94,1),(105,1),(129,1)}
        70:{3,5,6}:{(46,1),(47,1),(95,1),(99,1),(136,1)}
        71:{4,7}:{(46,1),(95,1),(172,1)}
        72:{3,4}:{(49,1),(97,1),(98,1),(140,1),(172,1)}
        73:{1,2,4,6}:{(47,1),(48,1),(56,1),(63,1),(95,1),(99,1),(104,1),(106,1),(107,1),(109,1),(137,1),(138,1),(141,1),(142,1),(143,1)}
        74:{3,5,7}:{(48,1),(49,1),(50,1),(96,1),(99,1),(129,1),(136,1),(156,1)}
        75:{1,3,5}:{(49,1),(51,1),(65,1),(97,1),(102,1),(140,1)}
        76:{2,3,5}:{(49,1),(52,1),(58,1),(98,1),(102,1),(140,1)}
        77:{1,3,7}:{(50,1),(51,1),(66,1),(103,1)}
        78:{2,3,7}:{(50,1),(52,1),(59,1),(103,1)}
        79:{1,2,6}:{(51,1),(52,1),(102,1),(103,1)}
        80:{2,5,6}:{(53,1),(54,1),(104,1),(106,1)}
        81:{2,4,5,7}:{(53,1),(55,1),(94,1),(104,1),(105,1),(133,1)}
        82:{4,6}:{(54,1),(55,1)}
        83:{3,6}:{(56,1),(57,1),(106,1)}
        84:{2,5,7}:{(57,1),(58,1),(59,1),(106,1)}
        85:{1,5,6}:{(60,1),(61,1),(107,1),(109,1)}
        86:{1,4,5,7}:{(60,1),(62,1),(92,1),(107,1),(108,1),(130,1)}
        87:{4,6}:{(61,1),(62,1)}
        88:{3,6}:{(63,1),(64,1),(109,1)}
        89:{1,5,7}:{(64,1),(65,1),(66,1),(109,1)}
        90:{1,2,5,7}:{(67,1),(68,1),(69,1),(110,1),(111,1),(125,1),(127,1)}
        91:{1,3,5,6}:{(68,1),(70,1),(85,1),(110,1),(112,1),(121,1),(126,1),(145,1),(148,1),(152,1),(165,1),(168,1)}
        92:{1,4,7}:{(68,1),(71,1),(112,1),(113,1)}
        93:{2,3,5,6}:{(69,1),(70,1),(80,1),(110,1),(114,1),(122,1),(124,1),(145,1),(150,1),(153,1),(166,1),(168,1)}
        94:{2,4,7}:{(69,1),(71,1),(114,1),(115,1)}
        95:{4,6}:{(70,1),(71,1),(116,1)}
        96:{3,4,7}:{(71,1),(72,1),(74,1),(117,1),(118,1),(119,1),(155,1),(164,1)}
        97:{1,4}:{(72,1),(75,1)}
        98:{2,4}:{(72,1),(76,1)}
        99:{3,6}:{(73,1),(74,1)}
       100:{1,3,5,7}:{(74,1),(75,1),(77,1),(89,1),(118,1),(121,1),(123,1),(125,1),(146,1),(152,1),(155,1),(165,1),(168,1)}
       101:{2,3,5,7}:{(74,1),(76,1),(78,1),(84,1),(119,1),(122,1),(123,1),(127,1),(147,1),(153,1),(155,1),(166,1),(168,1)}
       102:{1,2,5}:{(75,1),(76,1),(79,1),(120,1)}
       103:{1,2,7}:{(77,1),(78,1),(79,1)}
       104:{2,4,6}:{(80,1),(81,1),(82,1),(124,1)}
       105:{3,5,7}:{(81,1),(115,1),(124,1),(125,1),(150,1)}
       106:{2,6}:{(83,1),(84,1)}
       107:{1,4,6}:{(85,1),(86,1),(87,1),(126,1)}
       108:{3,5,7}:{(86,1),(113,1),(126,1),(127,1),(148,1)}
       109:{1,6}:{(88,1),(89,1)}
       110:{1,2,5,6}:{(90,1),(91,1),(93,1),(128,1),(141,1),(142,1),(143,1),(160,1),(161,1),(162,1),(171,1)}
       111:{1,2,4,7}:{(90,1),(92,1),(94,1),(128,1),(129,1),(132,1),(135,1),(159,1)}
       112:{1,4,6}:{(91,1),(92,1),(95,1),(130,1),(131,1),(169,1),(172,1)}
       113:{3,4,7}:{(92,1),(108,1),(129,1),(131,1),(132,1)}
       114:{2,4,6}:{(93,1),(94,1),(95,1),(133,1),(134,1),(170,1),(172,1)}
       115:{3,4,7}:{(94,1),(105,1),(129,1),(134,1),(135,1)}
       116:{4,5}:{(95,1),(136,1),(172,1)}
       117:{3,4,6}:{(95,1),(96,1),(99,1),(136,1),(137,1),(138,1),(163,1),(172,1)}
       118:{1,4,7}:{(96,1),(97,1),(100,1),(137,1),(169,1),(172,1)}
       119:{2,4,7}:{(96,1),(98,1),(101,1),(138,1),(170,1),(172,1)}
       120:{1,2,4}:{(97,1),(98,1),(102,1),(140,1)}
       121:{1,3,6}:{(99,1),(100,1),(109,1),(137,1),(141,1),(142,1),(163,1)}
       122:{2,3,6}:{(99,1),(101,1),(106,1),(138,1),(141,1),(143,1),(163,1)}
       123:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(139,1),(141,1),(159,1),(162,1),(171,1)}
       124:{3,6}:{(104,1),(105,1),(142,1)}
       125:{1,5,7}:{(105,1),(135,1),(142,1),(161,1)}
       126:{3,6}:{(107,1),(108,1),(143,1)}
       127:{2,5,7}:{(108,1),(132,1),(143,1),(160,1)}
       128:{1,2,4,6}:{(110,1),(111,1),(112,1),(114,1),(144,1),(145,1),(149,1),(151,1),(167,1),(173,1)}
       129:{3,7}:{(111,1),(145,1)}
       130:{1,4,5}:{(112,1),(116,1),(148,1),(152,1)}
       131:{3,4,6}:{(112,1),(113,1),(126,1),(145,1),(148,1),(149,1),(164,1)}
       132:{2,4,7}:{(113,1),(127,1),(147,1),(149,1)}
       133:{2,4,5}:{(114,1),(116,1),(150,1),(153,1)}
       134:{3,4,6}:{(114,1),(115,1),(124,1),(145,1),(150,1),(151,1),(164,1)}
       135:{1,4,7}:{(115,1),(125,1),(146,1),(151,1)}
       136:{3,5}:{(116,1),(117,1),(152,1),(153,1)}
       137:{1,4,6}:{(117,1),(118,1),(121,1),(152,1)}
       138:{2,4,6}:{(117,1),(119,1),(122,1),(153,1)}
       139:{1,2,4,7}:{(118,1),(119,1),(120,1),(123,1),(154,1),(155,1),(173,1)}
       140:{3}:{(120,1)}
       141:{1,2,6}:{(121,1),(122,1),(123,1)}
       142:{1,6}:{(124,1),(125,1)}
       143:{2,6}:{(126,1),(127,1)}
       144:{1,2,4,5}:{(128,1),(130,1),(133,1),(156,1),(160,1),(161,1),(162,1),(169,1),(170,1),(171,1),(172,1)}
       145:{3,6}:{(128,1),(129,1),(156,1),(174,1)}
       146:{1,3,7}:{(129,1),(135,1),(157,1),(159,1)}
       147:{2,3,7}:{(129,1),(132,1),(158,1),(159,1)}
       148:{3,5}:{(130,1),(131,1),(160,1)}
       149:{2,4,6}:{(131,1),(132,1),(143,1),(158,1),(160,1),(170,1)}
       150:{3,5}:{(133,1),(134,1),(161,1)}
       151:{1,4,6}:{(134,1),(135,1),(142,1),(157,1),(161,1),(169,1)}
       152:{1,5}:{(136,1),(137,1)}
       153:{2,5}:{(136,1),(138,1)}
       154:{1,2,4,6}:{(137,1),(138,1),(139,1),(141,1),(162,1),(163,1),(172,1)}
       155:{3,7}:{(139,1),(140,1),(163,1),(174,1)}
       156:{3,5}:{(144,1),(145,1),(164,1)}
       157:{1,3,6}:{(145,1),(146,1),(151,1),(165,1),(167,1)}
       158:{2,3,6}:{(145,1),(147,1),(149,1),(166,1),(167,1)}
       159:{1,2,7}:{(146,1),(147,1),(167,1)}
       160:{2,5}:{(148,1),(149,1)}
       161:{1,5}:{(150,1),(151,1)}
       162:{1,2,5}:{(152,1),(153,1),(154,1),(168,1)}
       163:{3,6}:{(154,1),(155,1),(168,1)}
       164:{3,4}:{(156,1),(169,1),(170,1),(172,1),(174,1)}
       165:{1,3,5}:{(156,1),(157,1),(161,1),(169,1),(171,1),(174,1)}
       166:{2,3,5}:{(156,1),(158,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,2,6}:{(157,1),(158,1),(159,1),(171,1)}
       168:{3,5}:{(162,1),(163,1),(172,1)}
       169:{1,4}:{(164,1),(165,1)}
       170:{2,4}:{(164,1),(166,1)}
       171:{1,2,5}:{(165,1),(166,1),(167,1),(173,1)}
       172:{4}:{(168,1)}
       173:{1,2,4}:{(169,1),(170,1),(171,1),(174,1)}
       174:{3}:{(173,1)}

 682 :   0:{1,3,5,6}:{(2,1),(3,1),(4,1),(18,1),(22,1),(50,1),(55,1),(56,1),(94,1),(96,1),(125,1),(150,1)}
         1:{2,3,5,6}:{(2,1),(5,1),(6,1),(20,1),(22,1),(51,1),(58,1),(59,1),(95,1),(96,1),(126,1),(150,1)}
         2:{1,2,5,6}:{(0,1),(1,1),(9,1),(10,1),(33,1),(36,1),(72,1),(77,1),(79,1),(112,1),(139,1)}
         3:{1,4,6}:{(0,1),(7,1),(11,1),(12,1),(69,1),(115,1),(159,1)}
         4:{1,3,5,7}:{(0,1),(10,1),(12,1),(13,1),(34,1),(41,1),(45,1),(84,1)}
         5:{2,4,6}:{(1,1),(8,1),(14,1),(15,1),(70,1),(115,1),(159,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(15,1),(16,1),(37,1),(41,1),(48,1),(84,1)}
         7:{1,4,5}:{(3,1),(18,1),(125,1),(127,1)}
         8:{2,4,5}:{(5,1),(20,1),(126,1),(127,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(5,1),(17,1),(22,1),(23,1),(25,1),(28,1),(60,1),(89,1)}
        10:{1,2,5,7}:{(2,1),(4,1),(6,1),(23,1),(24,1),(54,1),(57,1)}
        11:{3,4,6}:{(3,1),(18,1),(22,1),(25,1),(26,1),(49,1),(55,1)}
        12:{1,4,7}:{(3,1),(4,1),(26,1),(104,1)}
        13:{1,3,6,7}:{(4,1),(24,1),(27,1),(55,1),(63,1),(94,1),(157,1)}
        14:{3,4,6}:{(5,1),(20,1),(22,1),(28,1),(29,1),(49,1),(58,1)}
        15:{2,4,7}:{(5,1),(6,1),(29,1),(104,1)}
        16:{2,3,6,7}:{(6,1),(24,1),(30,1),(58,1),(63,1),(95,1),(158,1)}
        17:{1,2,4,5}:{(7,1),(8,1),(9,1),(31,1),(33,1),(36,1),(69,1),(70,1),(72,1),(139,1),(159,1)}
        18:{3,5}:{(7,1),(11,1),(33,1)}
        19:{1,4,5,7}:{(7,1),(12,1),(34,1),(35,1),(45,1),(86,1)}
        20:{3,5}:{(8,1),(14,1),(36,1)}
        21:{2,4,5,7}:{(8,1),(15,1),(37,1),(38,1),(48,1),(88,1)}
        22:{3,6}:{(9,1),(31,1),(41,1),(107,1)}
        23:{1,2,4,7}:{(9,1),(10,1),(12,1),(15,1),(41,1),(43,1),(46,1),(81,1)}
        24:{1,2,6,7}:{(10,1),(13,1),(16,1),(77,1),(79,1),(112,1),(165,1)}
        25:{2,4,6}:{(11,1),(33,1),(40,1),(43,1),(70,1),(77,1)}
        26:{3,4,7}:{(11,1),(12,1),(34,1),(41,1),(43,1)}
        27:{1,4,6,7}:{(12,1),(13,1),(35,1),(44,1),(45,1),(109,1),(145,1),(149,1)}
        28:{1,4,6}:{(14,1),(36,1),(39,1),(46,1),(69,1),(79,1)}
        29:{3,4,7}:{(14,1),(15,1),(37,1),(41,1),(46,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(38,1),(47,1),(48,1),(110,1),(146,1),(148,1)}
        31:{3,5}:{(17,1),(22,1),(49,1)}
        32:{1,2,4,5,7}:{(17,1),(19,1),(21,1),(23,1),(52,1),(53,1),(54,1),(57,1),(64,1),(90,1),(91,1),(93,1),(104,1),(105,1),(106,1),(125,1),(126,1),(127,1),(133,1),(136,1),(137,1),(151,1)}
        33:{2,5}:{(18,1),(25,1)}
        34:{3,5,7}:{(18,1),(19,1),(26,1),(54,1),(55,1)}
        35:{1,4,6}:{(19,1),(55,1),(56,1),(98,1)}
        36:{1,5}:{(20,1),(28,1)}
        37:{3,5,7}:{(20,1),(21,1),(29,1),(57,1),(58,1)}
        38:{2,4,6}:{(21,1),(58,1),(59,1),(100,1)}
        39:{1,3,6}:{(22,1),(28,1),(50,1),(60,1),(61,1)}
        40:{2,3,6}:{(22,1),(25,1),(51,1),(60,1),(62,1)}
        41:{3,7}:{(22,1),(23,1)}
        42:{1,2,4,6,7}:{(23,1),(24,1),(27,1),(30,1),(53,1),(63,1),(64,1),(65,1),(67,1),(101,1),(104,1),(124,1),(133,1)}
        43:{2,4,7}:{(25,1),(26,1),(54,1),(62,1)}
        44:{3,4,6,7}:{(26,1),(27,1),(55,1),(63,1),(65,1),(66,1),(92,1),(98,1),(104,1),(131,1),(135,1)}
        45:{1,5,7}:{(27,1),(56,1),(66,1),(125,1)}
        46:{1,4,7}:{(28,1),(29,1),(57,1),(61,1)}
        47:{3,4,6,7}:{(29,1),(30,1),(58,1),(63,1),(67,1),(68,1),(92,1),(100,1),(104,1),(132,1),(134,1)}
        48:{2,5,7}:{(30,1),(59,1),(68,1),(126,1)}
        49:{3,4}:{(31,1),(69,1),(70,1),(107,1),(159,1)}
        50:{1,3,5}:{(31,1),(36,1),(39,1),(69,1),(72,1),(107,1)}
        51:{2,3,5}:{(31,1),(33,1),(40,1),(70,1),(72,1),(107,1)}
        52:{3,5,7}:{(31,1),(32,1),(41,1),(71,1),(75,1),(111,1),(147,1),(160,1)}
        53:{1,2,4,6}:{(32,1),(35,1),(38,1),(75,1),(76,1),(77,1),(79,1),(109,1),(110,1),(112,1),(115,1),(116,1),(117,1),(145,1),(146,1)}
        54:{2,5,7}:{(33,1),(34,1),(43,1),(77,1)}
        55:{3,6}:{(34,1),(35,1),(77,1)}
        56:{1,5,6}:{(35,1),(45,1),(78,1),(145,1)}
        57:{1,5,7}:{(36,1),(37,1),(46,1),(79,1)}
        58:{3,6}:{(37,1),(38,1),(79,1)}
        59:{2,5,6}:{(38,1),(48,1),(80,1),(146,1)}
        60:{1,2,6}:{(39,1),(40,1),(72,1),(81,1)}
        61:{1,3,7}:{(39,1),(41,1),(46,1),(81,1)}
        62:{2,3,7}:{(40,1),(41,1),(43,1),(81,1)}
        63:{3,6,7}:{(41,1),(42,1),(75,1),(84,1),(138,1),(147,1)}
        64:{1,2,5,7}:{(42,1),(45,1),(48,1),(76,1),(84,1),(85,1),(87,1),(139,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(77,1),(83,1),(85,1),(110,1),(116,1),(120,1)}
        66:{3,5,7}:{(44,1),(45,1),(78,1),(85,1),(86,1),(111,1)}
        67:{1,4,6,7}:{(46,1),(47,1),(79,1),(82,1),(87,1),(109,1),(117,1),(119,1)}
        68:{3,5,7}:{(47,1),(48,1),(80,1),(87,1),(88,1),(111,1)}
        69:{1,4}:{(49,1),(50,1)}
        70:{2,4}:{(49,1),(51,1)}
        71:{3,4,7}:{(49,1),(52,1),(90,1),(91,1),(92,1),(104,1),(123,1),(166,1)}
        72:{1,2,5}:{(50,1),(51,1),(60,1),(89,1)}
        73:{1,3,5,7}:{(50,1),(52,1),(57,1),(61,1),(90,1),(93,1),(94,1),(123,1),(125,1),(136,1),(150,1),(157,1),(167,1)}
        74:{2,3,5,7}:{(51,1),(52,1),(54,1),(62,1),(91,1),(93,1),(95,1),(123,1),(126,1),(137,1),(150,1),(158,1),(168,1)}
        75:{3,6}:{(52,1),(53,1)}
        76:{1,2,5,6}:{(53,1),(56,1),(59,1),(64,1),(96,1),(97,1),(99,1),(125,1),(126,1)}
        77:{2,6}:{(54,1),(55,1)}
        78:{3,5,6}:{(55,1),(56,1),(66,1),(97,1),(98,1),(131,1)}
        79:{1,6}:{(57,1),(58,1)}
        80:{3,5,6}:{(58,1),(59,1),(68,1),(99,1),(100,1),(132,1)}
        81:{1,2,7}:{(60,1),(61,1),(62,1)}
        82:{1,3,6,7}:{(61,1),(63,1),(67,1),(94,1),(101,1),(102,1),(132,1)}
        83:{2,3,6,7}:{(62,1),(63,1),(65,1),(95,1),(101,1),(103,1),(131,1)}
        84:{3,5,7}:{(63,1),(64,1),(96,1),(104,1),(150,1)}
        85:{2,5,7}:{(65,1),(66,1),(97,1),(126,1)}
        86:{4,5,7}:{(66,1),(98,1),(104,1),(127,1)}
        87:{1,5,7}:{(67,1),(68,1),(99,1),(125,1)}
        88:{4,5,7}:{(68,1),(100,1),(104,1),(127,1)}
        89:{1,2,4}:{(69,1),(70,1),(72,1),(107,1)}
        90:{1,4,7}:{(69,1),(71,1),(73,1),(109,1),(159,1),(170,1)}
        91:{2,4,7}:{(70,1),(71,1),(74,1),(110,1),(159,1),(171,1)}
        92:{3,4,6}:{(71,1),(75,1),(109,1),(110,1),(111,1),(115,1),(138,1),(159,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(81,1),(108,1),(112,1),(139,1),(165,1),(172,1)}
        94:{1,3,6}:{(73,1),(75,1),(79,1),(109,1),(112,1),(138,1),(145,1)}
        95:{2,3,6}:{(74,1),(75,1),(77,1),(110,1),(112,1),(138,1),(146,1)}
        96:{3,5,6}:{(75,1),(76,1),(84,1),(111,1),(115,1)}
        97:{2,5,6}:{(77,1),(78,1),(85,1),(116,1)}
        98:{4,6}:{(78,1),(86,1)}
        99:{1,5,6}:{(79,1),(80,1),(87,1),(117,1)}
       100:{4,6}:{(80,1),(88,1)}
       101:{1,2,6,7}:{(81,1),(82,1),(83,1),(112,1),(118,1),(145,1),(146,1)}
       102:{1,3,5,7}:{(82,1),(84,1),(87,1),(113,1),(118,1),(119,1),(122,1),(147,1)}
       103:{2,3,5,7}:{(83,1),(84,1),(85,1),(114,1),(118,1),(120,1),(121,1),(147,1)}
       104:{4,7}:{(84,1),(115,1),(159,1)}
       105:{2,4,5,7}:{(85,1),(86,1),(116,1),(120,1),(121,1),(141,1)}
       106:{1,4,5,7}:{(87,1),(88,1),(117,1),(119,1),(122,1),(140,1)}
       107:{3}:{(89,1)}
       108:{1,2,4,7}:{(89,1),(90,1),(91,1),(93,1),(123,1),(124,1),(173,1)}
       109:{1,4,6}:{(90,1),(92,1),(94,1),(125,1)}
       110:{2,4,6}:{(91,1),(92,1),(95,1),(126,1)}
       111:{3,5}:{(92,1),(125,1),(126,1),(127,1)}
       112:{1,2,6}:{(93,1),(94,1),(95,1)}
       113:{1,3,5,6}:{(94,1),(96,1),(99,1),(102,1),(125,1),(128,1),(129,1),(132,1),(150,1),(152,1),(154,1),(167,1)}
       114:{2,3,5,6}:{(95,1),(96,1),(97,1),(103,1),(126,1),(128,1),(130,1),(131,1),(150,1),(153,1),(154,1),(168,1)}
       115:{4,6}:{(96,1),(104,1),(127,1)}
       116:{2,4,6}:{(97,1),(98,1),(105,1),(131,1)}
       117:{1,4,6}:{(99,1),(100,1),(106,1),(132,1)}
       118:{1,2,5,7}:{(101,1),(102,1),(103,1),(128,1),(133,1),(136,1),(137,1)}
       119:{1,4,7}:{(102,1),(104,1),(129,1),(134,1)}
       120:{2,4,7}:{(103,1),(104,1),(130,1),(135,1)}
       121:{3,5,7}:{(105,1),(131,1),(135,1),(136,1),(153,1)}
       122:{3,5,7}:{(106,1),(132,1),(134,1),(137,1),(152,1)}
       123:{3,7}:{(107,1),(108,1),(138,1),(174,1)}
       124:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(138,1),(139,1),(159,1)}
       125:{1,5}:{(109,1),(111,1)}
       126:{2,5}:{(110,1),(111,1)}
       127:{4,5}:{(111,1),(115,1),(159,1)}
       128:{1,2,5,6}:{(112,1),(113,1),(114,1),(118,1),(139,1),(142,1),(145,1),(146,1),(161,1),(162,1),(172,1)}
       129:{1,4,6}:{(113,1),(115,1),(119,1),(140,1),(143,1),(159,1),(170,1)}
       130:{2,4,6}:{(114,1),(115,1),(120,1),(141,1),(144,1),(159,1),(171,1)}
       131:{3,6}:{(116,1),(121,1),(145,1)}
       132:{3,6}:{(117,1),(122,1),(146,1)}
       133:{1,2,4,7}:{(118,1),(119,1),(120,1),(142,1),(147,1),(148,1),(149,1),(165,1)}
       134:{3,4,7}:{(119,1),(122,1),(143,1),(147,1),(148,1)}
       135:{3,4,7}:{(120,1),(121,1),(144,1),(147,1),(149,1)}
       136:{1,5,7}:{(121,1),(145,1),(149,1),(162,1)}
       137:{2,5,7}:{(122,1),(146,1),(148,1),(161,1)}
       138:{3,6}:{(123,1),(124,1),(150,1)}
       139:{1,2,5}:{(124,1),(125,1),(126,1),(150,1)}
       140:{1,4,5}:{(125,1),(127,1),(129,1),(152,1)}
       141:{2,4,5}:{(126,1),(127,1),(130,1),(153,1)}
       142:{1,2,4,6}:{(128,1),(129,1),(130,1),(133,1),(151,1),(154,1),(155,1),(156,1),(169,1),(173,1)}
       143:{3,4,6}:{(129,1),(132,1),(134,1),(152,1),(154,1),(155,1),(166,1)}
       144:{3,4,6}:{(130,1),(131,1),(135,1),(153,1),(154,1),(156,1),(166,1)}
       145:{1,6}:{(131,1),(136,1)}
       146:{2,6}:{(132,1),(137,1)}
       147:{3,7}:{(133,1),(154,1)}
       148:{2,4,7}:{(134,1),(137,1),(155,1),(158,1)}
       149:{1,4,7}:{(135,1),(136,1),(156,1),(157,1)}
       150:{3,5}:{(138,1),(139,1),(159,1)}
       151:{1,2,4,5}:{(139,1),(140,1),(141,1),(142,1),(159,1),(160,1),(161,1),(162,1),(170,1),(171,1),(172,1)}
       152:{3,5}:{(140,1),(143,1),(161,1)}
       153:{3,5}:{(141,1),(144,1),(162,1)}
       154:{3,6}:{(142,1),(147,1),(160,1),(174,1)}
       155:{2,4,6}:{(143,1),(146,1),(148,1),(161,1),(164,1),(171,1)}
       156:{1,4,6}:{(144,1),(145,1),(149,1),(162,1),(163,1),(170,1)}
       157:{1,3,7}:{(147,1),(149,1),(163,1),(165,1)}
       158:{2,3,7}:{(147,1),(148,1),(164,1),(165,1)}
       159:{4}:{(150,1)}
       160:{3,5}:{(151,1),(154,1),(166,1)}
       161:{2,5}:{(152,1),(155,1)}
       162:{1,5}:{(153,1),(156,1)}
       163:{1,3,6}:{(154,1),(156,1),(157,1),(167,1),(169,1)}
       164:{2,3,6}:{(154,1),(155,1),(158,1),(168,1),(169,1)}
       165:{1,2,7}:{(157,1),(158,1),(169,1)}
       166:{3,4}:{(159,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(160,1),(162,1),(163,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(160,1),(161,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(163,1),(164,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

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

 684 :   0:{1,2,5,6,7}:{(1,1),(2,1),(30,1),(31,1),(59,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(17,1),(75,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(19,1),(24,1),(74,1)}
         3:{1,2,4,5,6}:{(5,1),(7,1),(16,1),(25,1),(26,1),(27,1),(42,1),(43,1),(50,1),(74,1),(97,1),(103,1),(104,1)}
         4:{4,6,7}:{(1,1),(8,1),(88,1)}
         5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(10,1),(30,1),(31,1),(35,1),(36,1),(37,1)}
         6:{3,6,7}:{(2,1),(10,1),(87,1)}
         7:{3,5,6}:{(3,1),(10,1),(13,1),(66,1),(87,1),(102,1)}
         8:{4,5,7}:{(4,1),(16,1),(17,1),(79,1),(97,1)}
         9:{3,4,6,7}:{(4,1),(6,1),(17,1),(18,1),(19,1),(21,1),(41,1),(47,1),(79,1),(96,1)}
        10:{3,5,7}:{(5,1),(6,1),(7,1),(21,1)}
        11:{1,3,6,7}:{(6,1),(18,1),(22,1),(24,1),(47,1),(72,1),(95,1)}
        12:{2,3,6,7}:{(6,1),(19,1),(23,1),(24,1),(47,1),(73,1),(94,1)}
        13:{3,4,6}:{(7,1),(20,1),(21,1),(25,1),(26,1),(56,1),(82,1)}
        14:{1,3,5,6}:{(7,1),(22,1),(25,1),(27,1),(42,1),(48,1),(56,1),(72,1),(75,1),(81,1),(95,1),(104,1)}
        15:{2,3,5,6}:{(7,1),(23,1),(26,1),(27,1),(43,1),(49,1),(56,1),(73,1),(75,1),(80,1),(94,1),(103,1)}
        16:{4,5,6}:{(8,1),(28,1),(88,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(30,1),(31,1),(102,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(30,1),(35,1),(57,1),(101,1)}
        19:{2,4,6,7}:{(9,1),(12,1),(31,1),(36,1),(58,1),(100,1)}
        20:{3,4,5}:{(13,1),(33,1),(34,1),(66,1),(102,1)}
        21:{3,4,7}:{(10,1),(13,1),(35,1),(36,1),(69,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(30,1),(35,1),(37,1),(63,1),(69,1)}
        23:{2,3,5,7}:{(10,1),(12,1),(15,1),(31,1),(36,1),(37,1),(63,1),(69,1)}
        24:{1,2,6,7}:{(11,1),(12,1),(37,1),(85,1),(86,1)}
        25:{1,4,6}:{(13,1),(14,1),(33,1),(35,1),(88,1),(93,1)}
        26:{2,4,6}:{(13,1),(15,1),(34,1),(36,1),(88,1),(92,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(37,1),(40,1),(64,1),(65,1),(85,1),(86,1)}
        28:{3,5,6}:{(16,1),(17,1),(41,1),(42,1),(43,1)}
        29:{3,4,5,7}:{(17,1),(20,1),(21,1),(41,1),(44,1),(45,1),(78,1),(79,1),(97,1)}
        30:{1,5,7}:{(17,1),(18,1),(42,1),(104,1)}
        31:{2,5,7}:{(17,1),(19,1),(43,1),(103,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(24,1),(46,1),(47,1),(53,1),(74,1),(79,1)}
        33:{1,4,5}:{(20,1),(25,1),(48,1),(97,1),(104,1)}
        34:{2,4,5}:{(20,1),(26,1),(49,1),(97,1),(103,1)}
        35:{1,4,7}:{(21,1),(22,1),(25,1),(79,1)}
        36:{2,4,7}:{(21,1),(23,1),(26,1),(79,1)}
        37:{1,2,5,7}:{(22,1),(23,1),(24,1),(27,1),(53,1)}
        38:{1,3,4,6}:{(25,1),(48,1),(51,1),(54,1),(56,1),(72,1),(82,1),(96,1)}
        39:{2,3,4,6}:{(26,1),(49,1),(52,1),(55,1),(56,1),(73,1),(82,1),(96,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(50,1),(53,1),(56,1)}
        41:{3,4,6}:{(28,1),(29,1),(57,1),(58,1),(87,1),(88,1)}
        42:{1,5,6}:{(28,1),(30,1),(57,1)}
        43:{2,5,6}:{(28,1),(31,1),(58,1)}
        44:{1,4,5,7}:{(29,1),(30,1),(33,1),(35,1),(57,1),(60,1)}
        45:{2,4,5,7}:{(29,1),(31,1),(34,1),(36,1),(58,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(32,1),(59,1),(63,1)}
        47:{3,6,7}:{(32,1),(63,1),(69,1),(87,1)}
        48:{1,3,5}:{(33,1),(38,1),(64,1),(66,1),(102,1)}
        49:{2,3,5}:{(34,1),(39,1),(65,1),(66,1),(102,1)}
        50:{1,2,4,5}:{(33,1),(34,1),(40,1),(64,1),(65,1),(66,1),(92,1),(93,1)}
        51:{1,3,4,7}:{(35,1),(38,1),(60,1),(67,1),(69,1),(91,1)}
        52:{2,3,4,7}:{(36,1),(39,1),(61,1),(68,1),(69,1),(91,1)}
        53:{1,2,4,7}:{(35,1),(36,1),(37,1),(40,1),(69,1)}
        54:{1,2,4,6}:{(38,1),(64,1),(67,1),(70,1),(85,1),(92,1),(100,1)}
        55:{1,2,4,6}:{(39,1),(65,1),(68,1),(71,1),(86,1),(93,1),(101,1)}
        56:{3,6}:{(40,1),(66,1),(69,1)}
        57:{1,4,6}:{(41,1),(42,1),(44,1),(72,1)}
        58:{2,4,6}:{(41,1),(43,1),(45,1),(73,1)}
        59:{1,2,5,6}:{(42,1),(43,1),(46,1),(74,1),(75,1),(103,1),(104,1)}
        60:{1,3,5,7}:{(44,1),(48,1),(51,1),(72,1),(76,1),(78,1)}
        61:{2,3,5,7}:{(45,1),(49,1),(52,1),(73,1),(77,1),(78,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(53,1),(74,1),(76,1),(77,1),(78,1),(79,1),(97,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5,7}:{(46,1),(47,1),(75,1),(79,1)}
        64:{1,2,5}:{(48,1),(54,1),(80,1),(103,1)}
        65:{1,2,5}:{(49,1),(55,1),(81,1),(104,1)}
        66:{3,5}:{(50,1),(56,1),(82,1)}
        67:{1,2,4,7}:{(51,1),(54,1),(76,1),(83,1),(98,1)}
        68:{1,2,4,7}:{(52,1),(55,1),(77,1),(84,1),(99,1)}
        69:{3,7}:{(53,1),(56,1)}
        70:{2,3,6}:{(54,1),(56,1),(80,1),(83,1)}
        71:{1,3,6}:{(55,1),(56,1),(81,1),(84,1)}
        72:{1,3,6}:{(57,1),(60,1),(85,1),(87,1)}
        73:{2,3,6}:{(58,1),(61,1),(86,1),(87,1)}
        74:{1,2,4,6}:{(57,1),(58,1),(59,1),(62,1),(85,1),(86,1),(87,1),(88,1),(100,1),(101,1)}
        75:{3,5,6}:{(59,1),(63,1),(87,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(60,1),(64,1),(67,1),(85,1),(89,1)}
        77:{1,2,5,7}:{(61,1),(65,1),(68,1),(86,1),(90,1)}
        78:{3,5,7}:{(62,1),(66,1),(69,1),(87,1),(91,1),(102,1)}
        79:{4,7}:{(63,1),(88,1)}
        80:{2,3,5}:{(64,1),(66,1),(70,1),(92,1)}
        81:{1,3,5}:{(65,1),(66,1),(71,1),(93,1)}
        82:{3,4}:{(66,1),(92,1),(93,1)}
        83:{2,3,7}:{(67,1),(69,1),(70,1)}
        84:{1,3,7}:{(68,1),(69,1),(71,1)}
        85:{1,2,6}:{(72,1),(76,1),(94,1)}
        86:{1,2,6}:{(73,1),(77,1),(95,1)}
        87:{3,6}:{(74,1),(78,1)}
        88:{4,6}:{(75,1),(79,1),(97,1)}
        89:{2,3,5,7}:{(76,1),(78,1),(80,1),(83,1),(94,1),(98,1),(103,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(81,1),(84,1),(95,1),(99,1),(104,1)}
        91:{3,4,7}:{(78,1),(79,1),(82,1),(96,1),(98,1),(99,1)}
        92:{2,4}:{(80,1),(82,1)}
        93:{1,4}:{(81,1),(82,1)}
        94:{2,3,6}:{(85,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(86,1),(87,1),(90,1),(101,1)}
        96:{3,4,6}:{(87,1),(88,1),(91,1),(100,1),(101,1),(102,1)}
        97:{4,5}:{(88,1),(102,1)}
        98:{2,4,7}:{(89,1),(91,1),(92,1),(100,1)}
        99:{1,4,7}:{(90,1),(91,1),(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(96,1),(98,1),(103,1)}
       101:{1,4,6}:{(95,1),(96,1),(99,1),(104,1)}
       102:{3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{1,5}:{(101,1),(102,1)}

 685 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(52,1),(109,1)}
         1:{1,3,4,6}:{(2,1),(5,1),(6,1),(20,1),(23,1),(27,1),(52,1),(62,1)}
         2:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(35,1)}
         3:{1,2,3,5}:{(0,1),(8,1),(10,1),(33,1),(83,1),(88,1)}
         4:{1,2,3,7}:{(0,1),(9,1),(81,1),(138,1),(230,1)}
         5:{1,3,5}:{(1,1),(8,1),(13,1),(33,1),(92,1)}
         6:{1,3,4,7}:{(1,1),(9,1),(14,1),(38,1),(42,1),(81,1),(218,1)}
         7:{2,3,4,6}:{(2,1),(15,1),(16,1),(20,1),(47,1),(51,1),(52,1),(62,1)}
         8:{1,2,5}:{(2,1),(5,1),(15,1)}
         9:{1,2,4,7}:{(2,1),(4,1),(6,1),(16,1),(19,1),(227,1)}
        10:{1,2,4}:{(3,1),(20,1)}
        11:{1,2,3,5,7}:{(3,1),(4,1),(19,1),(21,1),(22,1),(57,1),(63,1),(114,1),(118,1),(169,1)}
        12:{1,3,5,6}:{(5,1),(17,1),(23,1),(24,1),(27,1),(52,1),(64,1),(71,1),(117,1)}
        13:{1,4,5}:{(5,1),(23,1),(25,1),(122,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(19,1),(26,1),(27,1),(57,1),(206,1),(224,1)}
        15:{2,3,5}:{(7,1),(8,1),(29,1),(33,1),(92,1)}
        16:{2,3,4,7}:{(7,1),(9,1),(30,1),(38,1),(74,1),(81,1),(219,1)}
        17:{1,2,5,6}:{(8,1),(12,1),(28,1),(31,1),(32,1),(35,1),(93,1),(130,1)}
        18:{1,2,4,5}:{(8,1),(10,1),(13,1),(29,1),(31,1),(33,1),(44,1),(76,1),(83,1)}
        19:{1,2,5,7}:{(8,1),(9,1),(14,1),(30,1),(35,1),(220,1),(229,1)}
        20:{3,4}:{(10,1),(33,1)}
        21:{1,2,4,7}:{(10,1),(11,1),(38,1),(39,1),(188,1)}
        22:{1,2,3,6}:{(11,1),(35,1),(39,1),(86,1),(142,1)}
        23:{1,4,6}:{(12,1),(13,1),(41,1),(42,1),(145,1)}
        24:{1,3,5,7}:{(12,1),(32,1),(42,1),(43,1),(81,1),(94,1),(98,1),(141,1)}
        25:{3,4,5}:{(13,1),(33,1),(41,1),(44,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(42,1),(45,1),(46,1),(98,1),(191,1),(215,1)}
        27:{1,3,6}:{(14,1),(35,1),(46,1),(86,1)}
        28:{2,3,5,6}:{(15,1),(17,1),(47,1),(48,1),(51,1),(52,1),(101,1),(108,1),(117,1)}
        29:{2,4,5}:{(15,1),(47,1),(49,1),(122,1)}
        30:{2,3,5,7}:{(15,1),(16,1),(19,1),(50,1),(51,1),(57,1),(207,1),(225,1)}
        31:{1,2,4,6}:{(17,1),(18,1),(23,1),(47,1),(52,1),(53,1),(66,1),(103,1),(109,1)}
        32:{1,2,5,7}:{(17,1),(24,1),(48,1),(53,1),(54,1),(123,1),(155,1)}
        33:{3,5}:{(18,1),(20,1),(52,1)}
        34:{1,2,4,5,7}:{(18,1),(19,1),(21,1),(26,1),(50,1),(53,1),(57,1),(58,1),(63,1),(69,1),(106,1),(113,1),(114,1),(122,1),(165,1),(170,1),(199,1)}
        35:{1,2,6}:{(19,1),(27,1),(51,1)}
        36:{1,3,4}:{(20,1),(55,1),(59,1)}
        37:{2,3,4}:{(20,1),(56,1),(59,1)}
        38:{3,4,7}:{(20,1),(21,1),(57,1),(62,1),(165,1),(205,1)}
        39:{1,2,4,6}:{(21,1),(22,1),(62,1),(63,1)}
        40:{1,4,5,6}:{(23,1),(64,1),(65,1),(71,1),(129,1)}
        41:{3,4,6}:{(23,1),(25,1),(52,1),(64,1),(66,1),(67,1)}
        42:{1,4,7}:{(23,1),(24,1),(67,1),(165,1)}
        43:{1,3,6,7}:{(24,1),(27,1),(54,1),(68,1),(112,1),(124,1),(224,1)}
        44:{2,4,5}:{(25,1),(56,1),(66,1)}
        45:{3,4,5,7}:{(25,1),(26,1),(57,1),(67,1),(69,1),(70,1),(122,1),(127,1),(165,1),(172,1),(201,1)}
        46:{1,4,6}:{(26,1),(27,1),(70,1),(71,1)}
        47:{2,4,6}:{(28,1),(29,1),(73,1),(74,1),(145,1)}
        48:{2,3,5,7}:{(28,1),(32,1),(74,1),(75,1),(81,1),(131,1),(135,1),(141,1)}
        49:{3,4,5}:{(29,1),(33,1),(73,1),(76,1)}
        50:{2,4,5,7}:{(29,1),(30,1),(74,1),(77,1),(78,1),(135,1),(190,1),(214,1)}
        51:{2,3,6}:{(30,1),(35,1),(78,1),(86,1)}
        52:{3,6}:{(31,1),(33,1),(81,1)}
        53:{1,2,4,7}:{(31,1),(32,1),(42,1),(74,1),(81,1),(96,1),(133,1),(138,1)}
        54:{1,2,6,7}:{(32,1),(35,1),(43,1),(75,1),(150,1),(177,1),(229,1)}
        55:{1,3,5}:{(33,1),(36,1),(76,1),(79,1),(83,1)}
        56:{2,3,5}:{(33,1),(37,1),(44,1),(80,1),(83,1)}
        57:{3,5,7}:{(33,1),(34,1),(38,1),(81,1),(86,1),(92,1),(189,1),(213,1)}
        58:{1,2,4,6}:{(34,1),(35,1),(46,1),(78,1),(86,1),(87,1),(99,1),(136,1),(142,1),(145,1)}
        59:{1,2,4}:{(36,1),(37,1),(83,1),(88,1)}
        60:{1,3,4,7}:{(36,1),(38,1),(84,1),(89,1),(90,1),(183,1),(213,1)}
        61:{2,3,4,7}:{(37,1),(38,1),(85,1),(89,1),(91,1),(184,1),(213,1)}
        62:{3,4,6}:{(38,1),(39,1),(86,1),(92,1),(145,1)}
        63:{1,2,5}:{(39,1),(92,1)}
        64:{3,5,6}:{(40,1),(41,1),(93,1),(94,1)}
        65:{1,4,5,7}:{(40,1),(42,1),(94,1),(95,1),(98,1),(153,1)}
        66:{2,4,6}:{(41,1),(44,1),(80,1),(93,1),(96,1)}
        67:{3,4,7}:{(41,1),(42,1),(81,1),(94,1),(96,1)}
        68:{1,4,6,7}:{(42,1),(43,1),(46,1),(97,1),(98,1),(215,1),(221,1)}
        69:{2,4,5,7}:{(44,1),(45,1),(85,1),(96,1),(99,1),(149,1),(152,1),(184,1)}
        70:{3,4,6}:{(45,1),(46,1),(86,1),(99,1),(100,1),(145,1)}
        71:{1,5,6}:{(46,1),(98,1),(100,1)}
        72:{2,4,5,6}:{(47,1),(101,1),(102,1),(108,1),(161,1)}
        73:{3,4,6}:{(47,1),(49,1),(52,1),(101,1),(103,1),(104,1)}
        74:{2,4,7}:{(47,1),(48,1),(104,1),(165,1)}
        75:{2,3,6,7}:{(48,1),(51,1),(54,1),(105,1),(112,1),(156,1),(225,1)}
        76:{1,4,5}:{(49,1),(55,1),(103,1)}
        77:{3,4,5,7}:{(49,1),(50,1),(57,1),(104,1),(106,1),(107,1),(122,1),(159,1),(165,1),(171,1),(200,1)}
        78:{2,4,6}:{(50,1),(51,1),(107,1),(108,1)}
        79:{1,3,6}:{(52,1),(55,1),(103,1),(109,1),(110,1)}
        80:{2,3,6}:{(52,1),(56,1),(66,1),(109,1),(111,1)}
        81:{3,7}:{(52,1),(53,1)}
        82:{1,2,4,6,7}:{(53,1),(54,1),(58,1),(68,1),(105,1),(112,1),(113,1),(126,1),(158,1),(162,1),(165,1),(199,1)}
        83:{1,2,5}:{(55,1),(56,1),(59,1),(109,1)}
        84:{1,3,5,7}:{(55,1),(57,1),(60,1),(106,1),(110,1),(114,1),(115,1),(120,1)}
        85:{2,3,5,7}:{(56,1),(57,1),(61,1),(69,1),(111,1),(114,1),(116,1),(121,1)}
        86:{3,6}:{(57,1),(58,1)}
        87:{1,2,5,6}:{(58,1),(63,1),(71,1),(108,1),(113,1),(117,1),(128,1),(160,1)}
        88:{1,2,3}:{(59,1)}
        89:{1,2,4,7}:{(59,1),(60,1),(61,1),(114,1),(118,1),(119,1)}
        90:{1,3,4,6}:{(60,1),(62,1),(115,1),(119,1),(120,1),(167,1),(202,1),(205,1)}
        91:{2,3,4,6}:{(61,1),(62,1),(116,1),(119,1),(121,1),(168,1),(202,1),(205,1)}
        92:{3,5}:{(62,1),(63,1),(122,1)}
        93:{2,5,6}:{(64,1),(66,1),(123,1)}
        94:{3,5,7}:{(64,1),(65,1),(67,1),(123,1),(124,1)}
        95:{1,4,6,7}:{(65,1),(124,1),(125,1),(174,1)}
        96:{2,4,7}:{(66,1),(67,1),(111,1),(123,1)}
        97:{3,4,6,7}:{(67,1),(68,1),(70,1),(112,1),(124,1),(126,1),(127,1),(165,1),(174,1),(201,1),(208,1)}
        98:{1,5,7}:{(68,1),(71,1),(127,1)}
        99:{2,4,6}:{(69,1),(70,1),(116,1),(128,1)}
       100:{3,5,6}:{(70,1),(71,1),(127,1),(128,1),(129,1)}
       101:{3,5,6}:{(72,1),(73,1),(130,1),(131,1)}
       102:{2,4,5,7}:{(72,1),(74,1),(131,1),(132,1),(135,1),(180,1)}
       103:{1,4,6}:{(73,1),(76,1),(79,1),(130,1),(133,1)}
       104:{3,4,7}:{(73,1),(74,1),(81,1),(131,1),(133,1)}
       105:{2,4,6,7}:{(74,1),(75,1),(78,1),(134,1),(135,1),(214,1),(228,1)}
       106:{1,4,5,7}:{(76,1),(77,1),(84,1),(133,1),(136,1),(148,1),(179,1),(183,1)}
       107:{3,4,6}:{(77,1),(78,1),(86,1),(136,1),(137,1),(145,1)}
       108:{2,5,6}:{(78,1),(135,1),(137,1)}
       109:{1,2,6}:{(79,1),(80,1),(83,1),(138,1)}
       110:{1,3,7}:{(79,1),(81,1),(133,1),(138,1)}
       111:{2,3,7}:{(80,1),(81,1),(96,1),(138,1)}
       112:{3,6,7}:{(81,1),(82,1),(86,1),(141,1),(213,1)}
       113:{1,2,5,7}:{(82,1),(87,1),(98,1),(135,1),(141,1),(152,1),(179,1)}
       114:{1,2,5,7}:{(83,1),(84,1),(85,1),(89,1),(138,1),(142,1),(147,1)}
       115:{1,3,6}:{(84,1),(86,1),(136,1),(142,1)}
       116:{2,3,6}:{(85,1),(86,1),(99,1),(142,1)}
       117:{3,5,6}:{(86,1),(87,1),(92,1),(141,1),(145,1)}
       118:{1,2,3,7}:{(88,1),(89,1),(146,1),(213,1),(229,1)}
       119:{1,2,4,6}:{(89,1),(90,1),(91,1),(142,1),(146,1),(147,1),(188,1)}
       120:{1,3,5}:{(90,1),(92,1),(147,1),(148,1),(189,1)}
       121:{2,3,5}:{(91,1),(92,1),(147,1),(149,1),(189,1)}
       122:{4,5}:{(92,1),(145,1)}
       123:{2,5,7}:{(93,1),(94,1),(96,1),(150,1)}
       124:{3,6,7}:{(94,1),(95,1),(150,1)}
       125:{1,5,6,7}:{(95,1),(98,1),(151,1),(221,1)}
       126:{2,4,6,7}:{(96,1),(97,1),(99,1),(140,1),(150,1),(152,1),(184,1)}
       127:{3,5,7}:{(97,1),(98,1),(100,1),(152,1),(153,1)}
       128:{2,5,6}:{(99,1),(100,1),(152,1)}
       129:{4,5,6}:{(100,1),(145,1),(153,1)}
       130:{1,5,6}:{(101,1),(103,1),(155,1)}
       131:{3,5,7}:{(101,1),(102,1),(104,1),(155,1),(156,1)}
       132:{2,4,6,7}:{(102,1),(156,1),(157,1),(196,1)}
       133:{1,4,7}:{(103,1),(104,1),(110,1),(155,1)}
       134:{3,4,6,7}:{(104,1),(105,1),(107,1),(112,1),(156,1),(158,1),(159,1),(165,1),(196,1),(200,1),(222,1)}
       135:{2,5,7}:{(105,1),(108,1),(159,1)}
       136:{1,4,6}:{(106,1),(107,1),(115,1),(160,1)}
       137:{3,5,6}:{(107,1),(108,1),(159,1),(160,1),(161,1)}
       138:{1,2,7}:{(109,1),(110,1),(111,1)}
       139:{1,3,6,7}:{(110,1),(112,1),(115,1),(158,1),(162,1),(163,1),(222,1)}
       140:{2,3,6,7}:{(111,1),(112,1),(116,1),(126,1),(162,1),(164,1),(208,1)}
       141:{3,5,7}:{(112,1),(113,1),(117,1),(165,1)}
       142:{1,2,6}:{(114,1),(115,1),(116,1)}
       143:{1,3,5,6}:{(115,1),(117,1),(120,1),(160,1),(163,1),(166,1),(167,1),(198,1),(202,1)}
       144:{2,3,5,6}:{(116,1),(117,1),(121,1),(128,1),(164,1),(166,1),(168,1),(176,1),(202,1)}
       145:{4,6}:{(117,1),(122,1),(165,1)}
       146:{1,2,3,6}:{(118,1),(119,1),(169,1),(202,1),(226,1)}
       147:{1,2,5}:{(119,1),(120,1),(121,1)}
       148:{1,4,5}:{(120,1),(122,1),(167,1),(171,1)}
       149:{2,4,5}:{(121,1),(122,1),(168,1),(172,1)}
       150:{2,6,7}:{(123,1),(124,1)}
       151:{3,5,6,7}:{(124,1),(125,1),(127,1),(173,1),(174,1),(208,1)}
       152:{2,5,7}:{(126,1),(127,1),(128,1)}
       153:{4,5,7}:{(127,1),(129,1),(165,1),(174,1)}
       154:{2,4,5,6}:{(128,1),(129,1),(168,1),(175,1),(176,1)}
       155:{1,5,7}:{(130,1),(131,1),(133,1),(177,1)}
       156:{3,6,7}:{(131,1),(132,1),(177,1)}
       157:{2,5,6,7}:{(132,1),(135,1),(178,1),(228,1)}
       158:{1,4,6,7}:{(133,1),(134,1),(136,1),(139,1),(177,1),(179,1),(183,1)}
       159:{3,5,7}:{(134,1),(135,1),(137,1),(179,1),(180,1)}
       160:{1,5,6}:{(136,1),(137,1),(179,1)}
       161:{4,5,6}:{(137,1),(145,1),(180,1)}
       162:{1,2,6,7}:{(138,1),(139,1),(140,1),(142,1),(182,1),(221,1),(228,1)}
       163:{1,3,5,7}:{(139,1),(141,1),(143,1),(179,1),(182,1),(183,1),(211,1),(213,1)}
       164:{2,3,5,7}:{(140,1),(141,1),(144,1),(152,1),(182,1),(184,1),(193,1),(213,1)}
       165:{4,7}:{(141,1),(145,1)}
       166:{1,2,5,6}:{(142,1),(143,1),(144,1),(147,1),(182,1),(185,1),(194,1),(212,1)}
       167:{1,4,6}:{(143,1),(145,1),(148,1),(183,1),(186,1)}
       168:{2,4,6}:{(144,1),(145,1),(149,1),(184,1),(187,1)}
       169:{1,2,3,5}:{(146,1),(147,1),(188,1),(189,1),(220,1),(230,1)}
       170:{1,2,4,5}:{(147,1),(148,1),(149,1),(185,1),(188,1),(189,1),(190,1),(191,1),(220,1)}
       171:{3,4,5}:{(148,1),(186,1),(189,1),(190,1)}
       172:{3,4,5}:{(149,1),(187,1),(189,1),(191,1)}
       173:{2,5,6,7}:{(150,1),(151,1),(152,1),(192,1)}
       174:{4,6,7}:{(151,1),(153,1)}
       175:{2,4,5,7}:{(152,1),(153,1),(154,1),(184,1),(192,1),(193,1)}
       176:{3,5,6}:{(154,1),(187,1),(193,1),(194,1)}
       177:{1,6,7}:{(155,1),(156,1)}
       178:{3,5,6,7}:{(156,1),(157,1),(159,1),(195,1),(196,1),(222,1)}
       179:{1,5,7}:{(158,1),(159,1),(160,1)}
       180:{4,5,7}:{(159,1),(161,1),(165,1),(196,1)}
       181:{1,4,5,6}:{(160,1),(161,1),(167,1),(197,1),(198,1)}
       182:{1,2,5,7}:{(162,1),(163,1),(164,1),(166,1),(199,1),(209,1),(223,1)}
       183:{1,4,7}:{(163,1),(165,1),(167,1),(200,1)}
       184:{2,4,7}:{(164,1),(165,1),(168,1),(201,1)}
       185:{1,2,4,6}:{(166,1),(167,1),(168,1),(170,1),(199,1),(202,1),(203,1),(204,1),(226,1)}
       186:{3,4,6}:{(167,1),(171,1),(198,1),(200,1),(202,1),(203,1)}
       187:{3,4,6}:{(168,1),(172,1),(176,1),(201,1),(202,1),(204,1)}
       188:{1,2,4}:{(169,1),(205,1)}
       189:{3,5}:{(170,1),(202,1),(205,1)}
       190:{2,4,5}:{(171,1),(203,1),(207,1)}
       191:{1,4,5}:{(172,1),(204,1),(206,1)}
       192:{2,4,6,7}:{(173,1),(174,1),(175,1),(208,1)}
       193:{3,5,7}:{(175,1),(176,1),(201,1),(208,1),(209,1)}
       194:{1,5,6}:{(176,1),(204,1),(209,1)}
       195:{1,5,6,7}:{(177,1),(178,1),(179,1),(210,1)}
       196:{4,6,7}:{(178,1),(180,1)}
       197:{1,4,5,7}:{(179,1),(180,1),(181,1),(183,1),(210,1),(211,1)}
       198:{3,5,6}:{(181,1),(186,1),(211,1),(212,1)}
       199:{1,2,4,7}:{(182,1),(183,1),(184,1),(185,1),(213,1),(214,1),(215,1),(229,1)}
       200:{3,4,7}:{(183,1),(186,1),(211,1),(213,1),(214,1)}
       201:{3,4,7}:{(184,1),(187,1),(193,1),(213,1),(215,1)}
       202:{3,6}:{(185,1),(189,1),(213,1)}
       203:{2,4,6}:{(186,1),(190,1),(212,1),(214,1),(217,1)}
       204:{1,4,6}:{(187,1),(191,1),(194,1),(215,1),(216,1)}
       205:{3,4}:{(188,1),(189,1)}
       206:{1,3,5}:{(189,1),(191,1),(216,1),(218,1),(220,1)}
       207:{2,3,5}:{(189,1),(190,1),(217,1),(219,1),(220,1)}
       208:{3,6,7}:{(192,1),(193,1),(221,1)}
       209:{1,5,7}:{(193,1),(194,1),(215,1),(221,1)}
       210:{1,4,6,7}:{(195,1),(196,1),(197,1),(222,1)}
       211:{3,5,7}:{(197,1),(198,1),(200,1),(222,1),(223,1)}
       212:{2,5,6}:{(198,1),(203,1),(223,1)}
       213:{3,7}:{(199,1),(202,1)}
       214:{2,4,7}:{(200,1),(203,1),(223,1),(225,1)}
       215:{1,4,7}:{(201,1),(204,1),(209,1),(224,1)}
       216:{1,3,6}:{(202,1),(204,1),(206,1),(224,1),(226,1)}
       217:{2,3,6}:{(202,1),(203,1),(207,1),(225,1),(226,1)}
       218:{1,3,4}:{(205,1),(206,1),(227,1)}
       219:{2,3,4}:{(205,1),(207,1),(227,1)}
       220:{1,2,5}:{(206,1),(207,1),(226,1),(227,1)}
       221:{1,6,7}:{(208,1),(209,1)}
       222:{3,6,7}:{(210,1),(211,1),(228,1)}
       223:{2,5,7}:{(211,1),(212,1),(214,1),(228,1)}
       224:{1,3,7}:{(213,1),(215,1),(216,1),(229,1)}
       225:{2,3,7}:{(213,1),(214,1),(217,1),(229,1)}
       226:{1,2,6}:{(216,1),(217,1),(220,1),(229,1)}
       227:{1,2,4}:{(218,1),(219,1),(220,1),(230,1)}
       228:{2,6,7}:{(222,1),(223,1)}
       229:{1,2,7}:{(224,1),(225,1),(226,1)}
       230:{1,2,3}:{(227,1)}

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

 687 :   0:{1,3,5,7}:{(3,1),(4,1),(5,1),(8,1),(23,1),(27,1),(58,1)}
         1:{2,3,5,7}:{(3,1),(6,1),(7,1),(21,1),(23,1),(30,1),(58,1)}
         2:{1,4,5,7}:{(4,1),(8,1),(9,1),(27,1),(32,1),(60,1),(64,1)}
         3:{1,2,5,7}:{(0,1),(1,1),(11,1),(12,1),(18,1),(36,1),(42,1)}
         4:{1,4,7}:{(0,1),(13,1),(14,1),(73,1),(95,1)}
         5:{1,3,6}:{(0,1),(12,1),(14,1),(19,1),(41,1),(102,1)}
         6:{2,4,7}:{(1,1),(15,1),(16,1),(73,1),(101,1)}
         7:{2,3,6}:{(1,1),(12,1),(16,1),(37,1),(41,1),(103,1)}
         8:{3,5,7}:{(2,1),(13,1),(18,1),(19,1),(44,1)}
         9:{1,4,6}:{(2,1),(19,1),(20,1),(50,1)}
        10:{2,4,5,7}:{(6,1),(21,1),(22,1),(30,1),(52,1),(62,1),(79,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(6,1),(23,1),(24,1),(25,1),(28,1),(55,1)}
        12:{1,2,6}:{(3,1),(5,1),(7,1),(33,1),(53,1),(104,1)}
        13:{3,4,7}:{(4,1),(8,1),(23,1),(25,1),(26,1),(64,1),(86,1)}
        14:{1,4,6}:{(4,1),(5,1),(26,1),(27,1),(87,1),(100,1)}
        15:{3,4,7}:{(6,1),(21,1),(23,1),(28,1),(29,1),(79,1),(96,1)}
        16:{2,4,6}:{(6,1),(7,1),(29,1),(30,1),(97,1),(99,1)}
        17:{1,4,6,7}:{(9,1),(31,1),(32,1),(64,1)}
        18:{2,5,7}:{(8,1),(25,1),(33,1),(59,1)}
        19:{3,6}:{(8,1),(9,1),(33,1)}
        20:{1,5,6}:{(9,1),(27,1),(32,1),(34,1),(87,1)}
        21:{3,5,7}:{(10,1),(15,1),(36,1),(37,1),(46,1)}
        22:{2,4,6}:{(10,1),(37,1),(38,1),(69,1)}
        23:{3,7}:{(11,1),(41,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(14,1),(16,1),(41,1),(42,1),(43,1),(45,1),(70,1),(73,1),(90,1)}
        25:{2,4,7}:{(13,1),(18,1),(40,1),(43,1)}
        26:{3,4,6}:{(13,1),(14,1),(19,1),(41,1),(43,1),(44,1),(50,1),(73,1),(77,1),(92,1)}
        27:{1,5}:{(14,1),(44,1)}
        28:{1,4,7}:{(15,1),(36,1),(39,1),(45,1)}
        29:{3,4,6}:{(15,1),(16,1),(37,1),(41,1),(45,1),(46,1),(69,1),(73,1),(89,1),(91,1)}
        30:{2,5}:{(16,1),(46,1)}
        31:{3,6,7}:{(17,1),(19,1),(47,1),(48,1)}
        32:{1,5,7}:{(17,1),(20,1),(48,1),(95,1)}
        33:{2,6}:{(18,1),(19,1)}
        34:{3,5,6}:{(19,1),(20,1),(44,1),(48,1),(49,1),(50,1),(77,1)}
        35:{2,4,6,7}:{(22,1),(51,1),(52,1),(79,1)}
        36:{1,5,7}:{(21,1),(28,1),(53,1),(61,1)}
        37:{3,6}:{(21,1),(22,1),(53,1)}
        38:{2,5,6}:{(22,1),(30,1),(52,1),(54,1),(97,1)}
        39:{1,3,7}:{(23,1),(28,1),(55,1),(56,1),(96,1)}
        40:{2,3,7}:{(23,1),(25,1),(55,1),(57,1),(86,1)}
        41:{3,6}:{(23,1),(24,1),(58,1),(98,1)}
        42:{1,2,5}:{(24,1),(27,1),(30,1),(58,1),(59,1),(61,1)}
        43:{2,4,6}:{(25,1),(26,1),(33,1),(57,1),(59,1),(83,1)}
        44:{3,5}:{(26,1),(27,1),(59,1),(60,1)}
        45:{1,4,6}:{(28,1),(29,1),(53,1),(56,1),(61,1),(82,1)}
        46:{3,5}:{(29,1),(30,1),(61,1),(62,1)}
        47:{2,6,7}:{(31,1),(33,1),(63,1)}
        48:{3,5,7}:{(31,1),(32,1),(34,1),(63,1),(64,1),(86,1)}
        49:{2,5,6}:{(33,1),(34,1),(59,1),(63,1),(65,1)}
        50:{4,6}:{(34,1),(60,1),(64,1)}
        51:{3,6,7}:{(35,1),(37,1),(66,1),(67,1)}
        52:{2,5,7}:{(35,1),(38,1),(67,1),(101,1)}
        53:{1,6}:{(36,1),(37,1)}
        54:{3,5,6}:{(37,1),(38,1),(46,1),(67,1),(68,1),(69,1),(89,1)}
        55:{1,2,7}:{(39,1),(40,1),(70,1),(95,1),(101,1)}
        56:{1,3,6}:{(39,1),(41,1),(45,1),(70,1),(71,1),(89,1)}
        57:{2,3,6}:{(40,1),(41,1),(43,1),(70,1),(72,1),(77,1)}
        58:{3,5}:{(41,1),(42,1),(73,1)}
        59:{2,5}:{(43,1),(44,1)}
        60:{4,5}:{(44,1),(50,1),(73,1)}
        61:{1,5}:{(45,1),(46,1)}
        62:{4,5}:{(46,1),(69,1),(73,1)}
        63:{2,5,7}:{(47,1),(48,1),(49,1),(76,1)}
        64:{4,7}:{(48,1),(50,1)}
        65:{2,4,6}:{(49,1),(50,1),(74,1),(76,1),(77,1)}
        66:{1,6,7}:{(51,1),(53,1),(78,1)}
        67:{3,5,7}:{(51,1),(52,1),(54,1),(78,1),(79,1),(96,1)}
        68:{1,5,6}:{(53,1),(54,1),(61,1),(78,1),(80,1)}
        69:{4,6}:{(54,1),(62,1),(79,1)}
        70:{1,2,6}:{(55,1),(56,1),(57,1),(81,1),(87,1),(97,1)}
        71:{1,3,5}:{(56,1),(58,1),(61,1),(81,1),(82,1),(85,1),(98,1)}
        72:{2,3,5}:{(57,1),(58,1),(59,1),(81,1),(83,1),(84,1),(98,1)}
        73:{4}:{(58,1)}
        74:{2,4,5}:{(59,1),(60,1),(65,1),(83,1),(84,1)}
        75:{1,4,5}:{(61,1),(62,1),(80,1),(82,1),(85,1)}
        76:{2,4,7}:{(63,1),(64,1),(65,1),(86,1)}
        77:{3,6}:{(65,1),(84,1),(86,1),(87,1)}
        78:{1,5,7}:{(66,1),(67,1),(68,1),(88,1)}
        79:{4,7}:{(67,1),(69,1)}
        80:{1,4,6}:{(68,1),(69,1),(75,1),(88,1),(89,1)}
        81:{1,2,5}:{(70,1),(71,1),(72,1),(90,1),(93,1),(94,1)}
        82:{1,4}:{(71,1),(73,1),(91,1)}
        83:{2,4}:{(72,1),(73,1),(92,1)}
        84:{3,5}:{(74,1),(77,1),(92,1),(93,1)}
        85:{3,5}:{(75,1),(89,1),(91,1),(94,1)}
        86:{3,7}:{(76,1),(77,1),(95,1)}
        87:{1,6}:{(77,1),(93,1),(95,1)}
        88:{1,4,7}:{(78,1),(79,1),(80,1),(96,1)}
        89:{3,6}:{(80,1),(85,1),(96,1),(97,1)}
        90:{1,2,4}:{(81,1),(82,1),(83,1),(98,1),(99,1),(100,1),(104,1)}
        91:{3,4}:{(82,1),(85,1),(98,1),(99,1)}
        92:{3,4}:{(83,1),(84,1),(98,1),(100,1)}
        93:{1,5}:{(84,1),(87,1),(100,1)}
        94:{2,5}:{(85,1),(97,1),(99,1)}
        95:{1,7}:{(86,1),(87,1)}
        96:{3,7}:{(88,1),(89,1),(101,1)}
        97:{2,6}:{(89,1),(94,1),(101,1)}
        98:{3}:{(90,1)}
        99:{2,4}:{(91,1),(94,1),(103,1)}
       100:{1,4}:{(92,1),(93,1),(102,1)}
       101:{2,7}:{(96,1),(97,1)}
       102:{1,3}:{(98,1),(100,1),(104,1)}
       103:{2,3}:{(98,1),(99,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

 688 :   0:{1,2,3}:{(3,1)}
         1:{1,3,4}:{(3,1),(4,1),(12,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(7,1),(8,1),(22,1),(26,1),(27,1),(55,1)}
         3:{1,2,4}:{(0,1),(1,1),(5,1),(8,1)}
         4:{1,3,5}:{(1,1),(8,1),(9,1),(10,1),(26,1)}
         5:{2,3,4}:{(3,1),(11,1),(12,1)}
         6:{1,2,3,6}:{(2,1),(13,1),(14,1),(16,1),(43,1),(73,1)}
         7:{1,2,4}:{(2,1),(12,1)}
         8:{1,2,5}:{(3,1),(4,1),(11,1),(16,1)}
         9:{1,4,5}:{(4,1),(17,1),(18,1)}
        10:{1,3,6}:{(4,1),(16,1),(18,1),(19,1),(43,1)}
        11:{2,3,5}:{(5,1),(8,1),(20,1),(21,1),(26,1)}
        12:{3,4}:{(7,1),(26,1)}
        13:{1,2,4,6}:{(6,1),(7,1),(25,1),(27,1),(28,1),(63,1)}
        14:{1,2,3,7}:{(6,1),(28,1),(30,1),(61,1),(89,1)}
        15:{1,2,4,5}:{(7,1),(8,1),(9,1),(20,1),(26,1),(27,1),(29,1),(31,1),(51,1),(55,1),(58,1)}
        16:{1,2,6}:{(8,1),(10,1),(21,1),(30,1)}
        17:{3,4,5}:{(9,1),(26,1),(31,1),(32,1),(58,1)}
        18:{1,4,6}:{(9,1),(10,1),(32,1),(33,1),(34,1)}
        19:{1,3,7}:{(10,1),(30,1),(34,1),(61,1)}
        20:{2,4,5}:{(11,1),(35,1),(36,1)}
        21:{2,3,6}:{(11,1),(16,1),(36,1),(37,1),(43,1)}
        22:{1,2,3}:{(38,1)}
        23:{2,3,4}:{(12,1),(38,1),(39,1)}
        24:{1,3,4}:{(12,1),(38,1),(40,1)}
        25:{3,4,6}:{(12,1),(13,1),(41,1),(42,1),(43,1),(76,1),(79,1)}
        26:{3,5}:{(12,1),(15,1),(43,1)}
        27:{1,2,5}:{(13,1),(41,1)}
        28:{1,2,4,7}:{(13,1),(14,1),(42,1),(45,1)}
        29:{1,2,4,6}:{(15,1),(16,1),(18,1),(36,1),(43,1),(44,1),(46,1),(47,1),(69,1),(73,1),(76,1)}
        30:{1,2,7}:{(16,1),(19,1),(37,1)}
        31:{2,4,5}:{(17,1),(39,1),(47,1)}
        32:{3,4,6}:{(17,1),(18,1),(43,1),(47,1),(48,1),(49,1),(76,1)}
        33:{1,5,6}:{(18,1),(48,1),(50,1)}
        34:{1,4,7}:{(18,1),(19,1),(49,1),(50,1)}
        35:{3,4,5}:{(20,1),(26,1),(51,1),(52,1),(58,1)}
        36:{2,4,6}:{(20,1),(21,1),(52,1),(53,1),(54,1)}
        37:{2,3,7}:{(21,1),(30,1),(54,1),(61,1)}
        38:{1,2,4}:{(22,1),(23,1),(24,1),(55,1)}
        39:{2,3,5}:{(23,1),(26,1),(31,1),(55,1),(56,1)}
        40:{1,3,5}:{(24,1),(26,1),(51,1),(55,1),(57,1)}
        41:{3,5}:{(25,1),(27,1),(58,1)}
        42:{3,4,7}:{(25,1),(28,1),(60,1),(61,1),(90,1)}
        43:{3,6}:{(26,1),(29,1),(61,1)}
        44:{1,2,5,6}:{(27,1),(29,1),(33,1),(53,1),(59,1),(62,1),(63,1),(64,1),(84,1)}
        45:{1,2,5,7}:{(27,1),(28,1),(60,1),(63,1)}
        46:{1,2,4,7}:{(29,1),(30,1),(34,1),(54,1),(61,1),(62,1),(65,1),(85,1),(89,1),(90,1)}
        47:{2,4,6}:{(31,1),(32,1),(56,1),(64,1),(65,1)}
        48:{3,5,6}:{(32,1),(33,1),(64,1),(66,1),(67,1)}
        49:{3,4,7}:{(32,1),(34,1),(61,1),(65,1),(67,1),(90,1)}
        50:{1,5,7}:{(33,1),(34,1),(67,1),(68,1)}
        51:{1,4,5}:{(35,1),(40,1),(69,1)}
        52:{3,4,6}:{(35,1),(36,1),(43,1),(69,1),(70,1),(71,1),(76,1)}
        53:{2,5,6}:{(36,1),(70,1),(72,1)}
        54:{2,4,7}:{(36,1),(37,1),(71,1),(72,1)}
        55:{1,2,5}:{(38,1),(39,1),(40,1),(73,1)}
        56:{2,3,6}:{(39,1),(43,1),(47,1),(73,1),(74,1)}
        57:{1,3,6}:{(40,1),(43,1),(69,1),(73,1),(75,1)}
        58:{4,5}:{(41,1),(76,1)}
        59:{3,5,6}:{(41,1),(43,1),(44,1),(76,1),(78,1),(79,1),(99,1)}
        60:{3,5,7}:{(41,1),(42,1),(45,1),(77,1),(79,1)}
        61:{3,7}:{(43,1),(46,1)}
        62:{1,2,5,7}:{(44,1),(46,1),(50,1),(72,1),(78,1),(80,1),(81,1),(95,1)}
        63:{1,2,6}:{(45,1),(79,1)}
        64:{2,5,6}:{(47,1),(48,1),(81,1)}
        65:{2,4,7}:{(47,1),(49,1),(74,1),(81,1)}
        66:{4,5,6}:{(48,1),(76,1),(82,1),(99,1)}
        67:{3,5,7}:{(48,1),(49,1),(50,1),(81,1),(82,1),(83,1)}
        68:{1,6,7}:{(50,1),(83,1)}
        69:{1,4,6}:{(51,1),(52,1),(57,1),(84,1),(85,1)}
        70:{3,5,6}:{(52,1),(53,1),(84,1),(86,1),(87,1)}
        71:{3,4,7}:{(52,1),(54,1),(61,1),(85,1),(87,1),(90,1)}
        72:{2,5,7}:{(53,1),(54,1),(87,1),(88,1)}
        73:{1,2,6}:{(55,1),(56,1),(57,1),(89,1)}
        74:{2,3,7}:{(56,1),(61,1),(65,1),(89,1)}
        75:{1,3,7}:{(57,1),(61,1),(85,1),(89,1)}
        76:{4,6}:{(58,1),(59,1),(90,1)}
        77:{4,5,7}:{(58,1),(60,1),(90,1),(91,1),(103,1)}
        78:{3,5,7}:{(59,1),(61,1),(62,1),(90,1),(92,1),(103,1)}
        79:{3,6}:{(60,1),(63,1),(91,1)}
        80:{1,2,6,7}:{(62,1),(63,1),(68,1),(88,1),(92,1),(93,1),(101,1)}
        81:{2,5,7}:{(64,1),(65,1),(67,1),(93,1)}
        82:{4,5,7}:{(66,1),(67,1),(90,1),(94,1),(103,1)}
        83:{3,6,7}:{(67,1),(68,1),(93,1),(94,1)}
        84:{1,5,6}:{(69,1),(70,1),(95,1)}
        85:{1,4,7}:{(69,1),(71,1),(75,1),(95,1)}
        86:{4,5,6}:{(70,1),(76,1),(96,1),(99,1)}
        87:{3,5,7}:{(70,1),(71,1),(72,1),(95,1),(96,1),(97,1)}
        88:{2,6,7}:{(72,1),(97,1)}
        89:{1,2,7}:{(73,1),(74,1),(75,1)}
        90:{4,7}:{(76,1),(78,1)}
        91:{4,6}:{(77,1),(79,1),(99,1)}
        92:{3,6,7}:{(78,1),(79,1),(80,1),(98,1)}
        93:{2,6,7}:{(81,1),(83,1)}
        94:{4,6,7}:{(82,1),(83,1),(100,1)}
        95:{1,5,7}:{(84,1),(85,1),(87,1),(101,1)}
        96:{4,5,7}:{(86,1),(87,1),(90,1),(102,1),(103,1)}
        97:{3,6,7}:{(87,1),(88,1),(101,1),(102,1)}
        98:{4,6,7}:{(90,1),(91,1),(92,1),(103,1)}
        99:{5,6}:{(91,1),(103,1)}
       100:{5,6,7}:{(94,1),(103,1)}
       101:{1,6,7}:{(95,1),(97,1)}
       102:{4,6,7}:{(96,1),(97,1),(104,1)}
       103:{5,7}:{(98,1),(99,1)}
       104:{5,6,7}:{(102,1),(103,1)}

 689 :   0:{1,3,4,6}:{(3,1),(4,1),(5,1),(7,1),(31,1),(34,1),(64,1),(76,1),(115,1)}
         1:{1,3,5,6}:{(4,1),(6,1),(7,1),(8,1),(9,1),(31,1),(34,1),(73,1),(120,1)}
         2:{1,4,5,6}:{(7,1),(9,1),(10,1),(73,1),(122,1)}
         3:{1,2,4,6}:{(0,1),(11,1),(12,1),(13,1),(43,1),(47,1),(91,1)}
         4:{1,3,5}:{(0,1),(12,1),(14,1),(45,1),(99,1),(138,1)}
         5:{1,3,4,7}:{(0,1),(13,1),(15,1),(20,1),(57,1),(90,1),(102,1),(205,1)}
         6:{1,2,5,6}:{(1,1),(12,1),(16,1),(17,1),(18,1),(22,1),(47,1),(99,1),(144,1)}
         7:{1,4,6}:{(1,1),(14,1),(19,1),(20,1),(142,1)}
         8:{1,3,5,7}:{(1,1),(18,1),(20,1),(21,1),(23,1),(57,1),(61,1),(108,1)}
         9:{3,5,6}:{(2,1),(19,1),(22,1),(23,1)}
        10:{1,4,5,7}:{(2,1),(20,1),(23,1),(24,1),(61,1),(110,1)}
        11:{2,3,6}:{(3,1),(25,1),(26,1),(34,1)}
        12:{1,2,5}:{(3,1),(4,1),(25,1),(116,1)}
        13:{1,2,4,7}:{(3,1),(5,1),(26,1),(28,1),(65,1),(208,1)}
        14:{1,4,5}:{(4,1),(7,1),(29,1),(157,1)}
        15:{1,3,5,7}:{(4,1),(5,1),(28,1),(30,1),(31,1),(69,1),(123,1),(191,1),(202,1)}
        16:{2,3,5,6}:{(6,1),(25,1),(32,1),(33,1),(34,1),(66,1),(74,1),(116,1),(120,1),(124,1),(125,1)}
        17:{1,2,4,6}:{(6,1),(7,1),(27,1),(32,1),(34,1),(35,1),(37,1),(76,1),(79,1)}
        18:{1,2,5,7}:{(6,1),(8,1),(33,1),(35,1),(36,1),(40,1),(123,1)}
        19:{3,4,6}:{(7,1),(9,1),(29,1),(34,1),(37,1),(38,1)}
        20:{1,4,7}:{(7,1),(8,1),(38,1),(131,1)}
        21:{1,3,6,7}:{(8,1),(31,1),(36,1),(39,1),(41,1),(82,1),(191,1)}
        22:{2,5,6}:{(9,1),(37,1),(40,1)}
        23:{3,5,7}:{(9,1),(10,1),(38,1),(40,1),(41,1)}
        24:{1,4,6,7}:{(10,1),(41,1),(42,1),(87,1)}
        25:{2,3,5}:{(11,1),(12,1),(43,1),(45,1)}
        26:{2,3,7}:{(11,1),(13,1),(57,1),(209,1)}
        27:{1,2,4,5}:{(12,1),(14,1),(17,1),(43,1),(45,1),(48,1),(51,1),(88,1),(92,1),(99,1)}
        28:{1,2,5,7}:{(12,1),(13,1),(15,1),(44,1),(47,1),(200,1),(207,1)}
        29:{3,4,5}:{(14,1),(19,1),(45,1),(48,1)}
        30:{1,4,5,7}:{(14,1),(15,1),(20,1),(49,1),(50,1),(61,1),(181,1),(196,1)}
        31:{1,3,6}:{(15,1),(47,1),(50,1),(95,1),(144,1)}
        32:{2,4,6}:{(16,1),(43,1),(51,1),(52,1),(53,1),(142,1)}
        33:{2,3,5,7}:{(16,1),(18,1),(53,1),(54,1),(57,1),(100,1),(104,1),(108,1)}
        34:{3,6}:{(17,1),(45,1),(57,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(20,1),(53,1),(57,1),(59,1),(102,1),(105,1)}
        36:{1,2,6,7}:{(18,1),(21,1),(47,1),(54,1),(62,1),(144,1),(200,1)}
        37:{2,4,6}:{(19,1),(22,1),(48,1),(56,1),(59,1)}
        38:{3,4,7}:{(19,1),(20,1),(23,1),(57,1),(59,1)}
        39:{1,4,6,7}:{(20,1),(21,1),(50,1),(60,1),(61,1),(152,1),(181,1)}
        40:{2,5,7}:{(22,1),(23,1),(59,1),(62,1)}
        41:{3,6,7}:{(23,1),(24,1),(62,1)}
        42:{1,5,6,7}:{(24,1),(61,1),(63,1),(152,1)}
        43:{2,4}:{(25,1),(64,1)}
        44:{2,3,5,7}:{(25,1),(26,1),(28,1),(65,1),(66,1),(69,1),(116,1),(190,1),(192,1),(203,1)}
        45:{3,5}:{(27,1),(34,1),(64,1)}
        46:{1,2,4,5,7}:{(27,1),(28,1),(30,1),(35,1),(65,1),(69,1),(70,1),(71,1),(75,1),(83,1),(113,1),(116,1),(117,1),(123,1),(131,1),(155,1),(157,1),(164,1),(165,1),(183,1),(190,1)}
        47:{1,2,6}:{(28,1),(31,1),(66,1)}
        48:{2,4,5}:{(29,1),(37,1),(68,1)}
        49:{3,4,5,7}:{(29,1),(30,1),(38,1),(69,1),(71,1),(72,1),(85,1),(131,1),(157,1),(167,1),(185,1)}
        50:{1,4,6}:{(30,1),(31,1),(72,1),(73,1)}
        51:{2,4,5}:{(32,1),(74,1),(116,1),(157,1)}
        52:{3,4,6}:{(32,1),(34,1),(64,1),(74,1),(76,1),(77,1),(124,1)}
        53:{2,4,7}:{(32,1),(33,1),(77,1),(131,1)}
        54:{2,3,6,7}:{(33,1),(36,1),(66,1),(78,1),(82,1),(124,1),(192,1)}
        55:{1,3,6}:{(34,1),(67,1),(76,1),(79,1),(80,1)}
        56:{2,3,6}:{(34,1),(37,1),(68,1),(79,1),(81,1)}
        57:{3,7}:{(34,1),(35,1)}
        58:{1,2,4,6,7}:{(35,1),(36,1),(39,1),(70,1),(78,1),(82,1),(83,1),(84,1),(126,1),(128,1),(131,1),(165,1)}
        59:{2,4,7}:{(37,1),(38,1),(40,1),(81,1)}
        60:{3,4,6,7}:{(38,1),(39,1),(41,1),(72,1),(82,1),(84,1),(85,1),(87,1),(131,1),(133,1),(167,1)}
        61:{1,5,7}:{(39,1),(73,1),(85,1)}
        62:{2,6,7}:{(40,1),(41,1)}
        63:{3,5,6,7}:{(41,1),(42,1),(85,1),(86,1),(87,1),(133,1)}
        64:{3,4}:{(43,1),(45,1),(88,1)}
        65:{2,4,7}:{(43,1),(44,1),(90,1),(91,1),(206,1)}
        66:{2,3,6}:{(44,1),(47,1),(91,1),(95,1),(199,1)}
        67:{1,3,5}:{(45,1),(55,1),(88,1),(92,1),(99,1),(134,1)}
        68:{2,3,5}:{(45,1),(48,1),(56,1),(89,1),(92,1)}
        69:{3,5,7}:{(45,1),(46,1),(57,1),(90,1),(95,1),(138,1),(179,1),(194,1)}
        70:{1,2,4,6}:{(46,1),(47,1),(50,1),(91,1),(95,1),(96,1),(97,1),(101,1),(136,1),(139,1),(142,1),(144,1),(177,1),(199,1)}
        71:{2,4,5,7}:{(48,1),(49,1),(59,1),(94,1),(97,1),(109,1),(150,1),(172,1)}
        72:{3,4,6}:{(49,1),(50,1),(95,1),(97,1),(98,1),(142,1)}
        73:{1,5,6}:{(50,1),(61,1),(98,1)}
        74:{3,5}:{(51,1),(52,1),(99,1)}
        75:{2,4,5,7}:{(51,1),(53,1),(100,1),(101,1),(104,1),(147,1)}
        76:{1,4,6}:{(52,1),(55,1),(88,1),(99,1),(102,1),(144,1)}
        77:{3,4,7}:{(52,1),(53,1),(57,1),(100,1),(102,1)}
        78:{2,4,6,7}:{(53,1),(54,1),(91,1),(101,1),(103,1),(104,1),(180,1),(199,1)}
        79:{1,2,6}:{(55,1),(56,1),(92,1),(105,1)}
        80:{1,3,7}:{(55,1),(57,1),(102,1),(105,1)}
        81:{2,3,7}:{(56,1),(57,1),(59,1),(105,1)}
        82:{3,6,7}:{(57,1),(58,1),(95,1),(108,1),(179,1)}
        83:{1,2,5,7}:{(58,1),(61,1),(96,1),(104,1),(108,1),(109,1),(146,1)}
        84:{2,4,6,7}:{(59,1),(60,1),(62,1),(97,1),(107,1),(109,1),(150,1)}
        85:{3,5,7}:{(60,1),(61,1),(98,1),(109,1),(110,1)}
        86:{2,5,6,7}:{(62,1),(63,1),(109,1),(111,1)}
        87:{4,6,7}:{(63,1),(110,1)}
        88:{1,4}:{(64,1),(67,1)}
        89:{2,3,4}:{(64,1),(68,1),(112,1)}
        90:{3,4,7}:{(64,1),(65,1),(69,1),(113,1),(115,1),(131,1),(201,1)}
        91:{2,4,6}:{(65,1),(66,1),(115,1),(116,1)}
        92:{1,2,5}:{(67,1),(68,1),(79,1),(112,1)}
        93:{1,3,5,7}:{(67,1),(69,1),(80,1),(113,1),(117,1),(118,1),(123,1),(153,1),(155,1),(182,1)}
        94:{2,3,5,7}:{(68,1),(69,1),(71,1),(81,1),(114,1),(117,1),(119,1),(156,1),(190,1)}
        95:{3,6}:{(69,1),(70,1)}
        96:{1,2,5,6}:{(70,1),(73,1),(83,1),(116,1),(120,1),(121,1),(125,1),(155,1),(162,1)}
        97:{2,4,6}:{(71,1),(72,1),(119,1),(121,1)}
        98:{3,5,6}:{(72,1),(73,1),(85,1),(121,1),(122,1)}
        99:{1,5}:{(74,1),(76,1)}
       100:{3,5,7}:{(74,1),(75,1),(77,1),(123,1),(124,1)}
       101:{2,4,6}:{(75,1),(124,1),(125,1),(163,1)}
       102:{1,4,7}:{(76,1),(77,1),(80,1),(123,1)}
       103:{3,4,6,7}:{(77,1),(78,1),(82,1),(115,1),(124,1),(126,1),(127,1),(131,1),(163,1),(166,1),(189,1)}
       104:{2,5,7}:{(78,1),(116,1),(125,1),(127,1)}
       105:{1,2,7}:{(79,1),(80,1),(81,1)}
       106:{1,3,6,7}:{(80,1),(82,1),(118,1),(126,1),(128,1),(129,1),(189,1)}
       107:{2,3,6,7}:{(81,1),(82,1),(84,1),(119,1),(128,1),(130,1),(133,1)}
       108:{3,5,7}:{(82,1),(83,1),(120,1),(131,1)}
       109:{2,5,7}:{(84,1),(85,1),(121,1)}
       110:{4,5,7}:{(85,1),(87,1),(122,1),(131,1)}
       111:{2,4,6,7}:{(86,1),(87,1),(132,1),(133,1)}
       112:{1,2,4}:{(88,1),(89,1),(92,1),(134,1)}
       113:{1,4,7}:{(88,1),(90,1),(93,1),(136,1),(193,1)}
       114:{2,3,4,7}:{(89,1),(90,1),(94,1),(135,1),(137,1),(150,1),(179,1),(180,1)}
       115:{3,4,6}:{(90,1),(91,1),(95,1),(136,1),(138,1),(142,1)}
       116:{2,5}:{(91,1),(138,1)}
       117:{1,2,5,7}:{(92,1),(93,1),(94,1),(105,1),(135,1),(139,1),(170,1)}
       118:{1,3,6}:{(93,1),(95,1),(136,1),(139,1),(144,1)}
       119:{2,3,6}:{(94,1),(95,1),(97,1),(139,1),(199,1)}
       120:{3,5,6}:{(95,1),(96,1),(108,1),(138,1),(142,1)}
       121:{2,5,6}:{(97,1),(98,1),(109,1)}
       122:{4,5,6}:{(98,1),(110,1),(142,1)}
       123:{1,5,7}:{(99,1),(100,1),(102,1),(144,1)}
       124:{3,6}:{(100,1),(101,1),(144,1)}
       125:{2,5,6}:{(101,1),(104,1),(145,1),(199,1)}
       126:{1,4,6,7}:{(102,1),(103,1),(106,1),(136,1),(144,1),(146,1),(149,1),(177,1)}
       127:{3,5,7}:{(103,1),(104,1),(138,1),(145,1),(146,1),(147,1)}
       128:{1,2,6,7}:{(105,1),(106,1),(107,1),(139,1),(148,1),(152,1),(199,1)}
       129:{1,3,5,7}:{(106,1),(108,1),(140,1),(146,1),(148,1),(149,1),(178,1),(179,1)}
       130:{2,3,5,7}:{(107,1),(108,1),(109,1),(141,1),(148,1),(150,1),(151,1),(179,1)}
       131:{4,7}:{(108,1),(142,1)}
       132:{2,4,5,7}:{(109,1),(110,1),(111,1),(143,1),(150,1),(151,1)}
       133:{3,6,7}:{(111,1),(151,1),(152,1)}
       134:{1,3}:{(112,1)}
       135:{1,2,4,7}:{(112,1),(113,1),(114,1),(117,1),(153,1),(154,1)}
       136:{1,4,6}:{(113,1),(115,1),(118,1),(155,1)}
       137:{2,3,4,6}:{(114,1),(115,1),(119,1),(154,1),(156,1),(160,1),(186,1),(187,1),(201,1)}
       138:{3,5}:{(115,1),(116,1),(155,1),(157,1)}
       139:{1,2,6}:{(117,1),(118,1),(119,1)}
       140:{1,3,5,6}:{(118,1),(120,1),(129,1),(155,1),(158,1),(159,1),(162,1),(182,1),(184,1),(186,1),(189,1)}
       141:{2,3,5,6}:{(119,1),(120,1),(121,1),(130,1),(156,1),(158,1),(160,1),(161,1),(186,1)}
       142:{4,6}:{(120,1),(131,1),(157,1)}
       143:{2,4,5,6}:{(121,1),(122,1),(132,1),(160,1),(161,1)}
       144:{1,6}:{(123,1),(124,1)}
       145:{3,5,6}:{(124,1),(125,1),(127,1),(162,1),(163,1),(189,1)}
       146:{1,5,7}:{(126,1),(127,1),(155,1),(162,1)}
       147:{4,5,7}:{(127,1),(131,1),(157,1),(163,1)}
       148:{1,2,5,7}:{(128,1),(129,1),(130,1),(158,1),(165,1),(168,1),(190,1)}
       149:{1,4,7}:{(129,1),(131,1),(159,1),(166,1)}
       150:{2,4,7}:{(130,1),(131,1),(160,1),(167,1)}
       151:{3,5,7}:{(132,1),(133,1),(161,1),(167,1),(168,1)}
       152:{1,6,7}:{(133,1),(168,1)}
       153:{1,3,7}:{(134,1),(135,1),(169,1),(179,1)}
       154:{1,2,4,6}:{(135,1),(136,1),(137,1),(139,1),(169,1),(170,1),(193,1)}
       155:{1,5}:{(136,1),(138,1)}
       156:{2,3,5}:{(137,1),(138,1),(170,1),(172,1),(194,1),(195,1)}
       157:{4,5}:{(138,1),(142,1)}
       158:{1,2,5,6}:{(139,1),(140,1),(141,1),(148,1),(170,1),(173,1),(176,1),(195,1),(199,1)}
       159:{1,4,6}:{(140,1),(142,1),(149,1),(171,1),(174,1),(193,1)}
       160:{2,4,6}:{(141,1),(142,1),(150,1),(172,1),(175,1)}
       161:{3,5,6}:{(143,1),(151,1),(175,1),(176,1)}
       162:{1,5,6}:{(144,1),(145,1),(146,1),(177,1)}
       163:{4,6}:{(145,1),(147,1)}
       164:{1,4,5,7}:{(146,1),(147,1),(149,1),(171,1),(177,1),(178,1)}
       165:{1,2,4,7}:{(148,1),(149,1),(150,1),(173,1),(179,1),(180,1),(181,1),(200,1)}
       166:{3,4,7}:{(149,1),(174,1),(178,1),(179,1),(180,1)}
       167:{3,4,7}:{(150,1),(151,1),(175,1),(179,1),(181,1)}
       168:{1,5,7}:{(151,1),(152,1),(176,1),(181,1)}
       169:{1,3,6}:{(153,1),(154,1),(182,1),(186,1)}
       170:{1,2,5}:{(154,1),(155,1),(156,1),(182,1)}
       171:{1,4,5}:{(155,1),(157,1),(159,1),(184,1)}
       172:{2,4,5}:{(156,1),(157,1),(160,1),(185,1)}
       173:{1,2,4,6}:{(158,1),(159,1),(160,1),(165,1),(183,1),(186,1),(187,1),(188,1),(204,1)}
       174:{3,4,6}:{(159,1),(166,1),(184,1),(186,1),(187,1),(189,1),(201,1)}
       175:{3,4,6}:{(160,1),(161,1),(167,1),(185,1),(186,1),(188,1)}
       176:{1,5,6}:{(161,1),(168,1),(188,1)}
       177:{1,4,6}:{(162,1),(163,1),(164,1),(189,1)}
       178:{3,5,7}:{(164,1),(166,1),(184,1),(189,1),(190,1)}
       179:{3,7}:{(165,1),(186,1)}
       180:{2,4,7}:{(166,1),(187,1),(190,1),(192,1)}
       181:{1,4,7}:{(167,1),(168,1),(188,1),(191,1)}
       182:{1,3,5}:{(169,1),(170,1),(193,1),(194,1)}
       183:{1,2,4,5}:{(170,1),(171,1),(172,1),(173,1),(193,1),(194,1),(195,1),(196,1),(206,1),(207,1)}
       184:{3,5}:{(171,1),(174,1),(195,1)}
       185:{3,4,5}:{(172,1),(175,1),(194,1),(196,1)}
       186:{3,6}:{(173,1),(179,1),(194,1)}
       187:{2,4,6}:{(174,1),(180,1),(195,1),(198,1),(199,1),(206,1)}
       188:{1,4,6}:{(175,1),(176,1),(181,1),(196,1),(197,1)}
       189:{3,6}:{(177,1),(178,1),(199,1)}
       190:{2,5,7}:{(178,1),(180,1),(195,1),(199,1)}
       191:{1,3,7}:{(179,1),(181,1),(197,1),(200,1)}
       192:{2,3,7}:{(179,1),(180,1),(198,1),(200,1)}
       193:{1,4}:{(182,1),(201,1)}
       194:{3,5}:{(183,1),(186,1),(201,1)}
       195:{2,5}:{(184,1),(187,1)}
       196:{1,4,5}:{(185,1),(188,1),(202,1)}
       197:{1,3,6}:{(186,1),(188,1),(191,1),(202,1),(204,1)}
       198:{2,3,6}:{(186,1),(187,1),(192,1),(203,1),(204,1)}
       199:{2,6}:{(189,1),(190,1)}
       200:{1,2,7}:{(191,1),(192,1),(204,1)}
       201:{3,4}:{(193,1),(194,1),(206,1)}
       202:{1,3,5}:{(194,1),(196,1),(197,1),(205,1),(207,1)}
       203:{2,3,5}:{(194,1),(195,1),(198,1),(206,1),(207,1),(209,1)}
       204:{1,2,6}:{(197,1),(198,1),(200,1),(207,1)}
       205:{1,3,4}:{(201,1),(202,1),(208,1)}
       206:{2,4}:{(201,1),(203,1)}
       207:{1,2,5}:{(202,1),(203,1),(204,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{2,3}:{(208,1)}

 690 :   0:{2,4,6,7}:{(1,1),(2,1),(9,1),(10,1)}
         1:{3,6,7}:{(0,1),(3,1),(4,1),(16,1)}
         2:{2,5,7}:{(0,1),(4,1),(5,1),(31,1)}
         3:{1,6,7}:{(1,1),(7,1),(25,1)}
         4:{3,5,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(20,1)}
         5:{2,5,6}:{(2,1),(8,1),(10,1),(40,1),(43,1)}
         6:{2,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(21,1),(24,1),(43,1)}
         7:{1,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{3,5,6}:{(4,1),(5,1),(12,1),(14,1),(16,1),(29,1),(32,1)}
         9:{4,7}:{(4,1),(14,1)}
        10:{2,4,6}:{(5,1),(6,1),(14,1),(16,1)}
        11:{3,5,7}:{(6,1),(15,1),(16,1),(17,1),(32,1)}
        12:{1,5,6}:{(7,1),(8,1),(19,1),(25,1),(42,1)}
        13:{1,4,7}:{(7,1),(9,1),(19,1),(20,1)}
        14:{4,6}:{(8,1),(9,1),(21,1)}
        15:{3,4,7}:{(9,1),(11,1),(20,1),(22,1),(23,1),(24,1),(45,1)}
        16:{3,6}:{(10,1),(11,1),(25,1)}
        17:{1,5,7}:{(11,1),(23,1),(25,1),(42,1)}
        18:{2,3,5,7}:{(11,1),(24,1),(26,1),(27,1),(43,1),(45,1),(63,1)}
        19:{1,4,6}:{(12,1),(13,1),(14,1),(28,1),(29,1)}
        20:{3,7}:{(13,1),(29,1),(31,1)}
        21:{4,5}:{(14,1),(32,1),(73,1)}
        22:{3,4,6}:{(14,1),(15,1),(16,1),(29,1),(32,1),(33,1),(34,1),(48,1),(54,1),(73,1)}
        23:{1,4,7}:{(15,1),(17,1),(30,1),(33,1)}
        24:{2,4,7}:{(15,1),(18,1),(31,1),(34,1),(73,1)}
        25:{1,6}:{(16,1),(17,1)}
        26:{2,3,6}:{(16,1),(18,1),(34,1),(36,1),(54,1),(68,1)}
        27:{1,2,5,7}:{(17,1),(18,1),(35,1),(36,1),(37,1),(53,1),(72,1)}
        28:{1,4,5}:{(19,1),(21,1),(38,1),(42,1),(58,1)}
        29:{3,6}:{(19,1),(20,1),(38,1),(40,1)}
        30:{1,3,7}:{(20,1),(23,1),(39,1),(41,1),(45,1)}
        31:{2,7}:{(20,1),(40,1)}
        32:{3,5}:{(21,1),(22,1),(42,1),(43,1)}
        33:{1,4,6}:{(22,1),(23,1),(25,1),(39,1),(42,1),(58,1)}
        34:{2,4,6}:{(22,1),(24,1),(26,1),(40,1),(43,1),(59,1)}
        35:{1,2,4,7}:{(23,1),(24,1),(27,1),(41,1),(44,1),(45,1),(47,1),(62,1)}
        36:{1,2,6}:{(25,1),(26,1),(27,1),(46,1),(78,1),(82,1)}
        37:{1,3,5,7}:{(27,1),(45,1),(46,1),(47,1),(63,1),(65,1),(66,1)}
        38:{3,5}:{(28,1),(29,1),(48,1),(50,1)}
        39:{1,3,6}:{(29,1),(30,1),(33,1),(49,1),(51,1),(54,1)}
        40:{2,6}:{(29,1),(31,1),(50,1)}
        41:{1,2,7}:{(30,1),(31,1),(51,1),(52,1),(104,1)}
        42:{1,5}:{(32,1),(33,1)}
        43:{2,5}:{(32,1),(34,1)}
        44:{1,2,4,6}:{(33,1),(34,1),(35,1),(36,1),(51,1),(53,1),(54,1),(56,1),(69,1),(71,1),(73,1)}
        45:{3,7}:{(35,1),(54,1)}
        46:{1,3,6}:{(36,1),(37,1),(54,1),(56,1),(75,1),(87,1)}
        47:{1,4,7}:{(37,1),(55,1),(56,1),(73,1),(104,1)}
        48:{3,4}:{(38,1),(58,1),(59,1),(79,1)}
        49:{1,3,5}:{(38,1),(39,1),(42,1),(58,1),(60,1),(63,1),(79,1)}
        50:{2,5}:{(38,1),(40,1),(59,1)}
        51:{1,2,6}:{(39,1),(40,1),(41,1),(60,1),(61,1),(102,1)}
        52:{2,3,7}:{(41,1),(45,1),(61,1),(62,1),(103,1)}
        53:{1,2,5}:{(42,1),(43,1),(44,1),(63,1),(66,1),(81,1)}
        54:{3,6}:{(44,1),(45,1),(63,1),(79,1)}
        55:{3,4,7}:{(45,1),(47,1),(62,1),(64,1),(65,1),(98,1),(103,1)}
        56:{1,4,6}:{(46,1),(47,1),(64,1),(66,1),(94,1),(102,1)}
        57:{1,4,5,7}:{(47,1),(65,1),(66,1),(67,1),(83,1),(86,1),(98,1)}
        58:{1,4}:{(48,1),(49,1),(73,1)}
        59:{2,4}:{(48,1),(50,1),(68,1)}
        60:{1,2,5}:{(49,1),(50,1),(51,1),(69,1),(70,1),(99,1)}
        61:{2,3,6}:{(51,1),(52,1),(54,1),(70,1),(71,1),(100,1)}
        62:{2,4,7}:{(52,1),(55,1),(71,1),(72,1)}
        63:{3,5}:{(53,1),(54,1),(73,1)}
        64:{3,4,6}:{(54,1),(55,1),(56,1),(71,1),(73,1),(74,1),(75,1),(88,1),(92,1),(100,1)}
        65:{3,5,7}:{(55,1),(57,1),(72,1),(74,1),(75,1)}
        66:{1,5}:{(56,1),(74,1)}
        67:{1,4,6}:{(57,1),(75,1),(76,1),(92,1)}
        68:{2,3}:{(59,1),(78,1),(79,1)}
        69:{1,2,4}:{(58,1),(59,1),(60,1),(78,1),(79,1),(80,1),(94,1)}
        70:{2,3,5}:{(60,1),(61,1),(63,1),(79,1),(80,1),(81,1),(95,1)}
        71:{2,4,6}:{(61,1),(62,1),(64,1),(80,1),(81,1),(82,1)}
        72:{2,5,7}:{(62,1),(65,1),(81,1),(82,1)}
        73:{4}:{(63,1)}
        74:{3,5}:{(64,1),(66,1),(81,1),(83,1)}
        75:{3,6}:{(65,1),(67,1),(82,1)}
        76:{1,5,6}:{(66,1),(67,1),(84,1),(86,1),(102,1)}
        77:{1,4,6,7}:{(67,1),(85,1),(86,1),(98,1)}
        78:{1,2}:{(68,1),(87,1)}
        79:{3}:{(69,1)}
        80:{2,4}:{(70,1),(73,1),(88,1)}
        81:{2,5}:{(71,1),(74,1)}
        82:{2,6}:{(72,1),(75,1)}
        83:{4,5}:{(73,1),(74,1),(92,1)}
        84:{3,5,6}:{(74,1),(75,1),(76,1),(90,1),(92,1),(93,1),(100,1)}
        85:{3,6,7}:{(75,1),(77,1),(91,1),(93,1)}
        86:{1,5,7}:{(76,1),(77,1),(93,1),(104,1)}
        87:{1,3}:{(78,1),(79,1),(94,1)}
        88:{3,4}:{(79,1),(80,1),(94,1),(95,1)}
        89:{2,4,5}:{(80,1),(81,1),(83,1),(95,1),(96,1)}
        90:{2,5,6}:{(81,1),(82,1),(84,1),(96,1),(97,1)}
        91:{2,6,7}:{(82,1),(85,1),(97,1)}
        92:{4,6}:{(83,1),(84,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(86,1),(97,1),(98,1),(103,1)}
        94:{1,4}:{(87,1),(88,1),(99,1)}
        95:{3,5}:{(88,1),(89,1),(99,1),(100,1)}
        96:{2,4,6}:{(89,1),(90,1),(92,1),(100,1),(101,1)}
        97:{2,5,7}:{(90,1),(91,1),(93,1),(101,1)}
        98:{4,7}:{(92,1),(93,1)}
        99:{1,5}:{(94,1),(95,1),(102,1)}
       100:{3,6}:{(95,1),(96,1),(102,1),(103,1)}
       101:{2,4,7}:{(96,1),(97,1),(98,1),(103,1)}
       102:{1,6}:{(99,1),(100,1),(104,1)}
       103:{3,7}:{(100,1),(101,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 691 :   0:{3,4,6,7}:{(3,1),(4,1),(5,1),(25,1),(33,1),(39,1),(68,1),(71,1),(77,1),(79,1),(126,1)}
         1:{1,3,6,7}:{(3,1),(6,1),(8,1),(25,1),(77,1),(120,1),(130,1)}
         2:{1,3,5,6}:{(7,1),(8,1),(9,1),(28,1),(30,1),(38,1),(70,1),(75,1),(77,1),(130,1),(160,1),(172,1)}
         3:{1,4,6,7}:{(0,1),(1,1),(12,1),(21,1),(50,1),(96,1),(108,1),(146,1)}
         4:{2,4,6,7}:{(0,1),(10,1),(14,1),(44,1),(53,1),(62,1),(107,1),(147,1)}
         5:{3,5,7}:{(0,1),(12,1),(14,1),(15,1),(16,1),(145,1)}
         6:{1,2,6,7}:{(1,1),(17,1),(19,1),(107,1),(143,1),(150,1),(151,1)}
         7:{1,2,5,6}:{(2,1),(18,1),(19,1),(20,1),(52,1),(106,1),(107,1),(111,1),(150,1),(151,1),(169,1)}
         8:{1,3,5,7}:{(1,1),(2,1),(12,1),(19,1),(21,1),(46,1),(51,1),(59,1)}
         9:{1,4,6}:{(2,1),(13,1),(21,1),(22,1),(99,1),(101,1),(174,1)}
        10:{2,3,6,7}:{(4,1),(23,1),(24,1),(25,1),(79,1),(87,1),(131,1)}
        11:{1,2,4,6,7}:{(3,1),(4,1),(6,1),(23,1),(25,1),(26,1),(34,1),(37,1),(63,1),(66,1),(71,1),(73,1),(162,1)}
        12:{1,5,7}:{(3,1),(5,1),(28,1),(160,1)}
        13:{1,4,5}:{(9,1),(30,1),(125,1),(160,1)}
        14:{2,5,7}:{(4,1),(5,1),(31,1),(161,1)}
        15:{3,5,6}:{(5,1),(28,1),(31,1),(33,1),(77,1),(79,1)}
        16:{4,5,7}:{(5,1),(33,1),(71,1),(125,1)}
        17:{2,3,6,7}:{(6,1),(25,1),(34,1),(35,1),(121,1),(131,1),(133,1)}
        18:{2,3,5,6}:{(7,1),(35,1),(36,1),(38,1),(70,1),(76,1),(81,1),(83,1),(131,1),(133,1),(161,1),(172,1)}
        19:{1,2,5,7}:{(6,1),(7,1),(8,1),(35,1),(37,1),(78,1),(134,1)}
        20:{1,2,4,6}:{(7,1),(9,1),(27,1),(36,1),(37,1),(38,1),(40,1),(85,1),(88,1),(129,1)}
        21:{1,4,7}:{(8,1),(9,1),(39,1),(71,1)}
        22:{3,4,6}:{(9,1),(30,1),(38,1),(39,1),(40,1),(72,1),(77,1)}
        23:{1,2,6,7}:{(10,1),(41,1),(42,1),(108,1),(113,1),(150,1),(164,1)}
        24:{2,3,5,7}:{(10,1),(14,1),(42,1),(43,1),(44,1),(46,1),(54,1),(93,1)}
        25:{3,6,7}:{(11,1),(46,1),(59,1),(93,1),(103,1),(170,1)}
        26:{1,2,5,7}:{(11,1),(12,1),(14,1),(46,1),(47,1),(55,1),(89,1),(169,1)}
        27:{1,2,4,5}:{(13,1),(20,1),(49,1),(52,1),(56,1),(101,1),(102,1),(106,1),(111,1),(169,1),(174,1)}
        28:{1,5,6}:{(12,1),(15,1),(50,1),(108,1)}
        29:{1,4,5,7}:{(12,1),(13,1),(16,1),(21,1),(50,1),(51,1)}
        30:{3,5}:{(13,1),(22,1),(52,1)}
        31:{2,5,6}:{(14,1),(15,1),(53,1),(107,1)}
        32:{2,4,5,7}:{(14,1),(16,1),(44,1),(53,1),(54,1),(94,1)}
        33:{4,6}:{(15,1),(16,1)}
        34:{2,4,6,7}:{(17,1),(45,1),(55,1),(57,1),(109,1),(139,1),(147,1),(164,1)}
        35:{2,3,5,7}:{(17,1),(18,1),(19,1),(46,1),(55,1),(57,1),(59,1),(110,1)}
        36:{2,4,6}:{(18,1),(56,1),(57,1),(58,1),(99,1),(102,1),(174,1)}
        37:{1,2,4,7}:{(19,1),(20,1),(21,1),(57,1),(59,1),(62,1),(112,1),(113,1)}
        38:{3,6}:{(20,1),(49,1),(59,1),(149,1)}
        39:{3,4,7}:{(21,1),(22,1),(51,1),(59,1),(62,1)}
        40:{2,4,6}:{(22,1),(52,1),(61,1),(62,1),(102,1),(107,1)}
        41:{1,3,6,7}:{(23,1),(25,1),(63,1),(64,1),(86,1),(130,1),(152,1)}
        42:{1,2,5,7}:{(23,1),(24,1),(64,1),(65,1),(66,1),(80,1),(153,1)}
        43:{2,3,5,6}:{(24,1),(31,1),(65,1),(67,1),(70,1),(79,1),(119,1),(122,1),(131,1),(158,1),(161,1),(172,1)}
        44:{2,4,7}:{(24,1),(67,1),(68,1),(71,1)}
        45:{3,4,6,7}:{(25,1),(34,1),(63,1),(69,1),(71,1),(84,1),(117,1),(124,1),(126,1),(133,1),(152,1)}
        46:{3,5,7}:{(25,1),(26,1),(70,1),(71,1),(172,1)}
        47:{1,2,5,6}:{(26,1),(28,1),(31,1),(70,1),(73,1),(81,1),(114,1),(160,1),(161,1)}
        48:{1,2,4,5,7}:{(26,1),(27,1),(29,1),(32,1),(37,1),(66,1),(71,1),(73,1),(74,1),(78,1),(80,1),(82,1),(115,1),(118,1),(125,1),(127,1),(128,1),(132,1),(134,1),(153,1),(160,1),(161,1)}
        49:{3,5}:{(27,1),(38,1),(72,1)}
        50:{1,4,6}:{(28,1),(29,1),(33,1),(77,1)}
        51:{3,5,7}:{(29,1),(30,1),(39,1),(77,1),(78,1)}
        52:{2,5}:{(30,1),(40,1)}
        53:{2,4,6}:{(31,1),(32,1),(33,1),(79,1)}
        54:{3,5,7}:{(32,1),(68,1),(79,1),(80,1),(122,1)}
        55:{2,5,7}:{(34,1),(69,1),(81,1),(161,1)}
        56:{2,4,5}:{(36,1),(83,1),(125,1),(161,1)}
        57:{2,4,7}:{(35,1),(36,1),(71,1),(84,1)}
        58:{3,4,6}:{(36,1),(38,1),(72,1),(83,1),(84,1),(85,1),(133,1)}
        59:{3,7}:{(37,1),(38,1)}
        60:{1,3,6}:{(38,1),(75,1),(85,1),(86,1),(88,1)}
        61:{2,3,6}:{(38,1),(40,1),(76,1),(87,1),(88,1)}
        62:{2,4,7}:{(39,1),(40,1),(78,1),(87,1)}
        63:{1,4,6,7}:{(41,1),(45,1),(89,1),(91,1),(112,1),(135,1),(146,1),(151,1)}
        64:{1,3,5,7}:{(41,1),(42,1),(46,1),(89,1),(90,1),(91,1),(93,1),(136,1)}
        65:{1,2,5,6}:{(42,1),(43,1),(90,1),(92,1),(108,1),(144,1),(150,1),(164,1),(165,1),(168,1),(169,1)}
        66:{1,2,4,7}:{(42,1),(44,1),(91,1),(92,1),(93,1),(96,1),(139,1),(143,1)}
        67:{2,4,6}:{(43,1),(44,1),(94,1),(95,1),(99,1),(167,1),(174,1)}
        68:{3,4,7}:{(44,1),(54,1),(93,1),(95,1),(96,1)}
        69:{3,5,7}:{(45,1),(55,1),(89,1),(97,1),(98,1),(145,1)}
        70:{3,5,6}:{(46,1),(47,1),(99,1),(103,1),(145,1)}
        71:{4,7}:{(46,1),(99,1),(174,1)}
        72:{3,4}:{(49,1),(101,1),(102,1),(149,1),(174,1)}
        73:{1,2,4,6}:{(47,1),(48,1),(50,1),(53,1),(99,1),(103,1),(107,1),(108,1),(109,1),(135,1),(146,1),(147,1),(150,1),(151,1),(164,1)}
        74:{3,5,7}:{(48,1),(49,1),(59,1),(93,1),(100,1),(103,1),(140,1),(145,1)}
        75:{1,3,5}:{(49,1),(60,1),(101,1),(106,1),(111,1),(149,1)}
        76:{2,3,5}:{(49,1),(52,1),(61,1),(102,1),(106,1),(149,1)}
        77:{3,6}:{(50,1),(51,1),(107,1)}
        78:{2,5,7}:{(51,1),(52,1),(62,1),(107,1)}
        79:{3,6}:{(53,1),(54,1),(108,1)}
        80:{1,5,7}:{(54,1),(96,1),(108,1),(144,1)}
        81:{2,5,6}:{(55,1),(97,1),(109,1),(164,1)}
        82:{2,4,5,7}:{(55,1),(56,1),(57,1),(98,1),(109,1),(110,1)}
        83:{3,5}:{(56,1),(58,1),(111,1)}
        84:{3,4,7}:{(57,1),(58,1),(59,1),(110,1),(112,1)}
        85:{1,4,6}:{(58,1),(60,1),(101,1),(111,1),(112,1),(151,1)}
        86:{1,3,7}:{(59,1),(60,1),(112,1),(113,1)}
        87:{2,3,7}:{(59,1),(61,1),(62,1),(113,1)}
        88:{1,2,6}:{(60,1),(61,1),(106,1),(113,1)}
        89:{1,5,7}:{(63,1),(69,1),(114,1),(160,1)}
        90:{1,3,5,6}:{(64,1),(65,1),(70,1),(114,1),(116,1),(119,1),(130,1),(152,1),(154,1),(157,1),(160,1),(172,1)}
        91:{1,4,7}:{(64,1),(71,1),(116,1),(117,1)}
        92:{1,2,4,6}:{(65,1),(66,1),(67,1),(116,1),(118,1),(119,1),(123,1),(155,1),(159,1),(171,1)}
        93:{3,7}:{(66,1),(119,1)}
        94:{2,4,5}:{(67,1),(122,1),(125,1),(161,1)}
        95:{3,4,6}:{(67,1),(68,1),(79,1),(119,1),(122,1),(123,1),(156,1)}
        96:{1,4,7}:{(68,1),(80,1),(120,1),(123,1)}
        97:{3,5,6}:{(69,1),(81,1),(114,1),(124,1),(133,1),(152,1)}
        98:{4,5,7}:{(69,1),(71,1),(124,1),(125,1)}
        99:{4,6}:{(70,1),(71,1),(125,1)}
       100:{3,4,7}:{(71,1),(72,1),(74,1),(126,1),(127,1),(128,1),(156,1),(163,1)}
       101:{1,4}:{(72,1),(75,1)}
       102:{2,4}:{(72,1),(76,1)}
       103:{3,6}:{(73,1),(74,1)}
       104:{1,3,5,7}:{(74,1),(75,1),(80,1),(86,1),(120,1),(127,1),(130,1),(132,1),(134,1),(157,1),(160,1),(163,1),(172,1)}
       105:{2,3,5,7}:{(74,1),(76,1),(78,1),(87,1),(121,1),(128,1),(131,1),(132,1),(153,1),(158,1),(161,1),(163,1),(172,1)}
       106:{1,2,5}:{(75,1),(76,1),(88,1),(129,1)}
       107:{2,6}:{(77,1),(78,1)}
       108:{1,6}:{(79,1),(80,1)}
       109:{2,4,6}:{(81,1),(82,1),(124,1),(133,1)}
       110:{3,5,7}:{(82,1),(83,1),(84,1),(133,1),(134,1)}
       111:{1,5}:{(83,1),(85,1)}
       112:{1,4,7}:{(84,1),(85,1),(86,1),(134,1)}
       113:{1,2,7}:{(86,1),(87,1),(88,1)}
       114:{1,5,6}:{(89,1),(97,1),(135,1),(151,1)}
       115:{1,4,5,7}:{(89,1),(91,1),(98,1),(135,1),(136,1),(137,1)}
       116:{1,4,6}:{(90,1),(91,1),(99,1),(137,1),(138,1),(166,1),(174,1)}
       117:{3,4,7}:{(91,1),(93,1),(136,1),(138,1),(139,1)}
       118:{1,2,4,5}:{(92,1),(94,1),(137,1),(140,1),(144,1),(165,1),(166,1),(167,1),(168,1),(169,1),(174,1)}
       119:{3,6}:{(92,1),(93,1),(140,1),(173,1)}
       120:{1,3,7}:{(93,1),(96,1),(141,1),(143,1)}
       121:{2,3,7}:{(93,1),(139,1),(142,1),(143,1)}
       122:{3,5}:{(94,1),(95,1),(144,1)}
       123:{1,4,6}:{(95,1),(96,1),(108,1),(141,1),(144,1),(166,1)}
       124:{4,6}:{(97,1),(98,1)}
       125:{4,5}:{(99,1),(145,1),(174,1)}
       126:{3,4,6}:{(99,1),(100,1),(103,1),(145,1),(146,1),(147,1),(170,1),(174,1)}
       127:{1,4,7}:{(100,1),(101,1),(104,1),(146,1),(166,1),(174,1)}
       128:{2,4,7}:{(100,1),(102,1),(105,1),(147,1),(167,1),(174,1)}
       129:{1,2,4}:{(101,1),(102,1),(106,1),(149,1)}
       130:{1,3,6}:{(103,1),(104,1),(108,1),(146,1),(150,1),(151,1),(170,1)}
       131:{2,3,6}:{(103,1),(105,1),(107,1),(147,1),(150,1),(164,1),(170,1)}
       132:{1,2,5,7}:{(104,1),(105,1),(106,1),(113,1),(143,1),(148,1),(150,1),(168,1),(169,1)}
       133:{3,6}:{(109,1),(110,1),(151,1)}
       134:{1,5,7}:{(110,1),(111,1),(112,1),(151,1)}
       135:{1,4,6}:{(114,1),(115,1),(124,1),(152,1)}
       136:{3,5,7}:{(115,1),(117,1),(152,1),(153,1),(154,1)}
       137:{1,4,5}:{(116,1),(125,1),(154,1),(160,1)}
       138:{3,4,6}:{(116,1),(117,1),(119,1),(152,1),(154,1),(155,1),(156,1)}
       139:{2,4,7}:{(117,1),(121,1),(153,1),(155,1)}
       140:{3,5}:{(118,1),(119,1),(156,1)}
       141:{1,3,6}:{(119,1),(120,1),(123,1),(157,1),(159,1)}
       142:{2,3,6}:{(119,1),(121,1),(155,1),(158,1),(159,1)}
       143:{1,2,7}:{(120,1),(121,1),(159,1)}
       144:{1,5}:{(122,1),(123,1)}
       145:{3,5}:{(125,1),(126,1),(160,1),(161,1)}
       146:{1,4,6}:{(126,1),(127,1),(130,1),(160,1)}
       147:{2,4,6}:{(126,1),(128,1),(131,1),(161,1)}
       148:{1,2,4,7}:{(127,1),(128,1),(129,1),(132,1),(162,1),(163,1),(171,1)}
       149:{3}:{(129,1)}
       150:{1,2,6}:{(130,1),(131,1),(132,1)}
       151:{1,6}:{(133,1),(134,1)}
       152:{3,6}:{(135,1),(136,1),(164,1)}
       153:{2,5,7}:{(136,1),(139,1),(164,1),(165,1)}
       154:{3,5}:{(137,1),(138,1),(165,1)}
       155:{2,4,6}:{(138,1),(139,1),(142,1),(164,1),(165,1),(167,1)}
       156:{3,4}:{(140,1),(166,1),(167,1),(173,1),(174,1)}
       157:{1,3,5}:{(140,1),(141,1),(144,1),(166,1),(168,1),(173,1)}
       158:{2,3,5}:{(140,1),(142,1),(165,1),(167,1),(168,1),(173,1)}
       159:{1,2,6}:{(141,1),(142,1),(143,1),(168,1)}
       160:{1,5}:{(145,1),(146,1)}
       161:{2,5}:{(145,1),(147,1)}
       162:{1,2,4,6}:{(146,1),(147,1),(148,1),(150,1),(169,1),(170,1),(174,1)}
       163:{3,7}:{(148,1),(149,1),(170,1),(173,1)}
       164:{2,6}:{(152,1),(153,1)}
       165:{2,5}:{(154,1),(155,1)}
       166:{1,4}:{(156,1),(157,1)}
       167:{2,4}:{(156,1),(158,1)}
       168:{1,2,5}:{(157,1),(158,1),(159,1),(171,1)}
       169:{1,2,5}:{(160,1),(161,1),(162,1),(172,1)}
       170:{3,6}:{(162,1),(163,1),(172,1)}
       171:{1,2,4}:{(166,1),(167,1),(168,1),(173,1)}
       172:{3,5}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{4}:{(172,1)}

 692 :   0:{1,4,5,6}:{(1,1),(2,1),(13,1),(91,1),(93,1)}
         1:{3,5,6}:{(0,1),(4,1),(6,1),(7,1)}
         2:{1,4,5,7}:{(0,1),(7,1),(8,1),(30,1),(76,1),(78,1)}
         3:{1,3,4,6}:{(10,1),(11,1),(12,1),(13,1),(45,1),(49,1),(88,1),(96,1),(139,1)}
         4:{3,4,6}:{(1,1),(9,1),(13,1),(14,1),(15,1),(49,1)}
         5:{1,3,5,6}:{(1,1),(10,1),(13,1),(16,1),(17,1),(45,1),(49,1),(91,1),(140,1)}
         6:{2,5,6}:{(1,1),(14,1),(18,1)}
         7:{3,5,7}:{(1,1),(2,1),(15,1),(18,1),(19,1)}
         8:{1,4,6,7}:{(2,1),(19,1),(20,1),(58,1)}
         9:{3,4,5}:{(4,1),(21,1),(22,1),(62,1)}
        10:{1,3,5}:{(3,1),(21,1),(24,1),(62,1),(120,1),(160,1)}
        11:{1,2,4,6}:{(3,1),(24,1),(26,1),(27,1),(67,1),(69,1),(119,1)}
        12:{1,3,4,7}:{(3,1),(25,1),(27,1),(30,1),(74,1),(115,1),(121,1),(203,1)}
        13:{1,4,6}:{(4,1),(5,1),(21,1),(30,1),(161,1)}
        14:{2,4,6}:{(4,1),(6,1),(22,1),(28,1),(31,1)}
        15:{3,4,7}:{(4,1),(7,1),(30,1),(31,1),(74,1)}
        16:{1,2,5,6}:{(5,1),(6,1),(24,1),(29,1),(33,1),(34,1),(69,1),(120,1),(163,1)}
        17:{1,3,5,7}:{(5,1),(7,1),(30,1),(34,1),(35,1),(74,1),(76,1),(127,1)}
        18:{2,5,7}:{(6,1),(7,1),(31,1),(36,1)}
        19:{3,6,7}:{(7,1),(8,1),(36,1)}
        20:{1,5,6,7}:{(8,1),(37,1),(76,1),(131,1)}
        21:{1,4,5}:{(9,1),(10,1),(13,1),(177,1)}
        22:{2,4,5}:{(9,1),(14,1),(38,1)}
        23:{3,4,5,7}:{(9,1),(15,1),(40,1),(41,1),(42,1),(53,1),(89,1),(147,1),(150,1),(172,1),(177,1)}
        24:{1,2,5}:{(10,1),(11,1),(43,1),(142,1)}
        25:{1,3,5,7}:{(10,1),(12,1),(40,1),(44,1),(45,1),(89,1),(143,1),(181,1),(196,1)}
        26:{2,3,6}:{(11,1),(43,1),(46,1),(49,1)}
        27:{1,2,4,7}:{(11,1),(12,1),(44,1),(46,1),(94,1),(208,1)}
        28:{2,3,6}:{(14,1),(38,1),(47,1),(48,1),(49,1)}
        29:{1,2,4,6}:{(13,1),(14,1),(16,1),(39,1),(47,1),(49,1),(50,1),(54,1),(96,1)}
        30:{1,4,7}:{(13,1),(15,1),(17,1),(150,1)}
        31:{2,4,7}:{(14,1),(15,1),(18,1),(48,1)}
        32:{3,4,6,7}:{(15,1),(19,1),(42,1),(51,1),(52,1),(53,1),(58,1),(102,1),(107,1),(147,1),(150,1)}
        33:{2,3,5,6}:{(16,1),(43,1),(49,1),(54,1),(55,1),(95,1),(100,1),(140,1),(142,1),(148,1),(152,1)}
        34:{1,2,5,7}:{(16,1),(17,1),(18,1),(50,1),(55,1),(56,1),(143,1)}
        35:{1,3,6,7}:{(17,1),(19,1),(45,1),(51,1),(56,1),(102,1),(181,1)}
        36:{2,6,7}:{(18,1),(19,1)}
        37:{3,5,6,7}:{(19,1),(20,1),(53,1),(57,1),(58,1),(107,1)}
        38:{2,3,5}:{(22,1),(28,1),(59,1),(60,1),(62,1)}
        39:{1,2,4,5}:{(21,1),(22,1),(24,1),(29,1),(60,1),(62,1),(67,1),(79,1),(111,1),(120,1)}
        40:{1,4,5,7}:{(21,1),(23,1),(25,1),(30,1),(64,1),(76,1),(167,1),(186,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(31,1),(61,1),(65,1),(77,1),(124,1),(155,1)}
        42:{3,4,6}:{(23,1),(64,1),(65,1),(66,1),(116,1),(161,1)}
        43:{2,3,5}:{(24,1),(26,1),(62,1),(67,1)}
        44:{1,2,5,7}:{(24,1),(25,1),(27,1),(68,1),(69,1),(194,1),(205,1)}
        45:{1,3,6}:{(25,1),(64,1),(69,1),(116,1),(163,1)}
        46:{2,3,7}:{(26,1),(27,1),(74,1),(209,1)}
        47:{1,2,6}:{(28,1),(60,1),(70,1),(71,1)}
        48:{2,3,7}:{(28,1),(31,1),(71,1),(74,1)}
        49:{3,6}:{(29,1),(62,1),(74,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(71,1),(74,1),(80,1),(121,1)}
        51:{1,4,6,7}:{(30,1),(32,1),(35,1),(64,1),(76,1),(131,1),(167,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(36,1),(65,1),(72,1),(77,1),(124,1)}
        53:{3,5,7}:{(32,1),(66,1),(76,1),(77,1),(78,1)}
        54:{2,4,6}:{(33,1),(67,1),(73,1),(79,1),(80,1),(161,1)}
        55:{2,3,5,7}:{(33,1),(34,1),(74,1),(80,1),(81,1),(125,1),(127,1),(130,1)}
        56:{1,2,6,7}:{(34,1),(35,1),(36,1),(69,1),(81,1),(163,1),(194,1)}
        57:{2,5,6,7}:{(36,1),(37,1),(77,1),(82,1)}
        58:{4,6,7}:{(37,1),(78,1)}
        59:{2,3,4}:{(38,1),(83,1),(88,1)}
        60:{1,2,5}:{(38,1),(47,1),(83,1),(85,1)}
        61:{2,3,5,7}:{(38,1),(41,1),(48,1),(84,1),(86,1),(87,1),(89,1),(134,1),(202,1)}
        62:{3,5}:{(39,1),(49,1),(88,1)}
        63:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(44,1),(50,1),(86,1),(89,1),(90,1),(94,1),(103,1),(105,1),(135,1),(142,1),(143,1),(146,1),(150,1),(171,1),(173,1),(177,1),(179,1),(202,1)}
        64:{1,4,6}:{(40,1),(42,1),(45,1),(91,1)}
        65:{2,4,6}:{(41,1),(42,1),(87,1),(92,1)}
        66:{3,5,6}:{(42,1),(53,1),(91,1),(92,1),(93,1)}
        67:{2,4}:{(43,1),(88,1)}
        68:{2,3,5,7}:{(43,1),(44,1),(46,1),(89,1),(94,1),(95,1),(142,1),(182,1),(197,1),(202,1)}
        69:{1,2,6}:{(44,1),(45,1),(95,1)}
        70:{1,3,6}:{(47,1),(49,1),(85,1),(96,1),(97,1)}
        71:{1,2,7}:{(47,1),(48,1),(97,1)}
        72:{2,3,6,7}:{(48,1),(52,1),(87,1),(98,1),(99,1),(102,1),(107,1)}
        73:{3,4,6}:{(49,1),(54,1),(88,1),(96,1),(100,1),(101,1),(148,1)}
        74:{3,7}:{(49,1),(50,1)}
        75:{1,2,4,6,7}:{(50,1),(51,1),(52,1),(56,1),(90,1),(98,1),(102,1),(103,1),(106,1),(144,1),(146,1),(150,1)}
        76:{1,5,7}:{(51,1),(53,1),(91,1)}
        77:{2,5,7}:{(52,1),(53,1),(92,1)}
        78:{4,5,7}:{(53,1),(58,1),(93,1),(150,1)}
        79:{2,4,5}:{(54,1),(100,1),(142,1),(177,1)}
        80:{2,4,7}:{(54,1),(55,1),(101,1),(150,1)}
        81:{2,3,6,7}:{(55,1),(56,1),(95,1),(102,1),(106,1),(148,1),(182,1)}
        82:{2,4,6,7}:{(57,1),(58,1),(104,1),(107,1)}
        83:{1,2,4}:{(59,1),(60,1),(108,1),(111,1)}
        84:{2,3,4,7}:{(59,1),(61,1),(109,1),(110,1),(115,1),(124,1),(166,1),(193,1)}
        85:{1,3,5}:{(60,1),(62,1),(70,1),(108,1),(111,1),(120,1)}
        86:{1,2,5,7}:{(60,1),(61,1),(71,1),(109,1),(112,1),(113,1),(154,1)}
        87:{2,3,6}:{(61,1),(65,1),(113,1),(116,1),(207,1)}
        88:{3,4}:{(62,1),(67,1),(111,1)}
        89:{3,5,7}:{(62,1),(63,1),(74,1),(115,1),(116,1),(160,1),(166,1),(185,1)}
        90:{1,2,4,6}:{(63,1),(64,1),(65,1),(69,1),(113,1),(116,1),(117,1),(119,1),(129,1),(156,1),(161,1),(163,1),(191,1),(207,1)}
        91:{1,5,6}:{(64,1),(66,1),(76,1)}
        92:{2,5,6}:{(65,1),(66,1),(77,1)}
        93:{4,5,6}:{(66,1),(78,1),(161,1)}
        94:{2,4,7}:{(67,1),(68,1),(115,1),(119,1),(204,1)}
        95:{2,3,6}:{(68,1),(69,1),(116,1),(119,1),(207,1)}
        96:{1,4,6}:{(70,1),(73,1),(111,1),(120,1),(121,1),(163,1)}
        97:{1,3,7}:{(70,1),(71,1),(74,1),(121,1)}
        98:{1,2,6,7}:{(71,1),(72,1),(113,1),(122,1),(123,1),(131,1),(207,1)}
        99:{2,3,5,7}:{(72,1),(77,1),(114,1),(123,1),(124,1),(127,1),(128,1),(166,1)}
       100:{3,5}:{(73,1),(79,1),(120,1)}
       101:{3,4,7}:{(73,1),(74,1),(80,1),(121,1),(125,1)}
       102:{3,6,7}:{(74,1),(75,1),(116,1),(127,1),(166,1)}
       103:{1,2,5,7}:{(75,1),(76,1),(77,1),(117,1),(127,1),(130,1),(164,1)}
       104:{2,4,5,7}:{(77,1),(78,1),(82,1),(118,1),(124,1),(128,1)}
       105:{2,4,5,7}:{(79,1),(80,1),(125,1),(129,1),(130,1),(169,1)}
       106:{2,4,6,7}:{(80,1),(81,1),(119,1),(126,1),(129,1),(130,1),(193,1),(207,1)}
       107:{3,6,7}:{(82,1),(128,1),(131,1)}
       108:{1,3}:{(83,1)}
       109:{1,2,4,7}:{(83,1),(84,1),(86,1),(132,1),(133,1),(135,1)}
       110:{2,3,4,6}:{(84,1),(87,1),(133,1),(134,1),(138,1),(139,1),(175,1),(195,1),(199,1)}
       111:{1,4}:{(85,1),(88,1)}
       112:{1,3,5,7}:{(85,1),(86,1),(89,1),(97,1),(132,1),(135,1),(136,1),(143,1),(170,1),(173,1)}
       113:{1,2,6}:{(86,1),(87,1),(136,1)}
       114:{2,3,5,6}:{(87,1),(92,1),(99,1),(134,1),(137,1),(138,1),(140,1),(141,1),(175,1)}
       115:{3,4,7}:{(88,1),(89,1),(94,1),(135,1),(139,1),(150,1),(195,1)}
       116:{3,6}:{(89,1),(90,1)}
       117:{1,2,5,6}:{(90,1),(91,1),(92,1),(103,1),(140,1),(142,1),(152,1),(173,1),(178,1)}
       118:{2,4,5,6}:{(92,1),(93,1),(104,1),(138,1),(141,1)}
       119:{2,4,6}:{(94,1),(95,1),(139,1),(142,1)}
       120:{1,5}:{(96,1),(100,1)}
       121:{1,4,7}:{(96,1),(97,1),(101,1),(143,1)}
       122:{1,3,6,7}:{(97,1),(98,1),(102,1),(136,1),(144,1),(145,1),(201,1)}
       123:{1,2,5,7}:{(98,1),(99,1),(137,1),(145,1),(146,1),(151,1),(202,1)}
       124:{2,4,7}:{(99,1),(138,1),(147,1),(150,1)}
       125:{3,5,7}:{(100,1),(101,1),(105,1),(143,1),(148,1)}
       126:{3,4,6,7}:{(101,1),(102,1),(106,1),(139,1),(144,1),(148,1),(149,1),(150,1),(180,1),(183,1),(201,1)}
       127:{3,5,7}:{(102,1),(103,1),(140,1),(150,1)}
       128:{3,5,7}:{(104,1),(107,1),(141,1),(147,1),(151,1)}
       129:{2,4,6}:{(105,1),(148,1),(152,1),(183,1)}
       130:{2,5,7}:{(106,1),(142,1),(149,1),(152,1)}
       131:{1,6,7}:{(107,1),(151,1)}
       132:{1,3,7}:{(108,1),(109,1),(153,1),(166,1)}
       133:{1,2,4,6}:{(109,1),(110,1),(113,1),(153,1),(154,1),(156,1),(184,1)}
       134:{2,3,5}:{(110,1),(154,1),(155,1),(160,1),(185,1),(206,1)}
       135:{1,4,7}:{(111,1),(112,1),(115,1),(156,1),(184,1)}
       136:{1,3,6}:{(112,1),(113,1),(116,1),(156,1),(163,1)}
       137:{1,2,5,6}:{(113,1),(114,1),(123,1),(154,1),(157,1),(158,1),(162,1),(206,1),(207,1)}
       138:{2,4,6}:{(114,1),(124,1),(155,1),(159,1),(161,1)}
       139:{3,4,6}:{(115,1),(116,1),(119,1),(156,1),(160,1),(161,1)}
       140:{3,5,6}:{(116,1),(117,1),(127,1),(160,1),(161,1)}
       141:{3,5,6}:{(118,1),(128,1),(159,1),(162,1)}
       142:{2,5}:{(119,1),(160,1)}
       143:{1,5,7}:{(120,1),(121,1),(125,1),(163,1)}
       144:{1,4,6,7}:{(121,1),(122,1),(126,1),(156,1),(163,1),(164,1),(165,1),(191,1)}
       145:{1,3,5,7}:{(122,1),(123,1),(127,1),(157,1),(164,1),(165,1),(166,1),(192,1)}
       146:{1,2,4,7}:{(123,1),(124,1),(158,1),(165,1),(166,1),(167,1),(193,1),(194,1)}
       147:{3,4,7}:{(124,1),(128,1),(159,1),(166,1),(167,1)}
       148:{3,6}:{(125,1),(129,1),(163,1)}
       149:{3,5,7}:{(126,1),(130,1),(160,1),(164,1),(168,1),(169,1)}
       150:{4,7}:{(127,1),(161,1)}
       151:{1,5,7}:{(128,1),(131,1),(162,1),(167,1)}
       152:{2,5,6}:{(129,1),(130,1),(168,1),(207,1)}
       153:{1,3,6}:{(132,1),(133,1),(170,1),(175,1)}
       154:{1,2,5}:{(133,1),(134,1),(170,1),(173,1)}
       155:{2,4,5}:{(134,1),(138,1),(172,1),(177,1)}
       156:{1,4,6}:{(135,1),(136,1),(139,1),(173,1)}
       157:{1,3,5,6}:{(136,1),(137,1),(140,1),(145,1),(170,1),(173,1),(174,1),(175,1),(178,1),(198,1),(201,1)}
       158:{1,2,4,6}:{(137,1),(138,1),(146,1),(171,1),(174,1),(175,1),(176,1),(199,1),(200,1)}
       159:{3,4,6}:{(138,1),(141,1),(147,1),(172,1),(175,1),(176,1)}
       160:{3,5}:{(139,1),(142,1),(173,1),(177,1)}
       161:{4,6}:{(140,1),(150,1),(177,1)}
       162:{1,5,6}:{(141,1),(151,1),(176,1)}
       163:{1,6}:{(143,1),(148,1)}
       164:{1,5,7}:{(144,1),(149,1),(173,1),(178,1)}
       165:{1,4,7}:{(145,1),(150,1),(174,1),(180,1)}
       166:{3,7}:{(146,1),(175,1)}
       167:{1,4,7}:{(147,1),(151,1),(176,1),(181,1)}
       168:{3,5,6}:{(148,1),(149,1),(152,1),(178,1),(183,1),(201,1)}
       169:{4,5,7}:{(149,1),(150,1),(177,1),(183,1)}
       170:{1,3,5}:{(153,1),(154,1),(184,1),(185,1)}
       171:{1,2,4,5}:{(154,1),(155,1),(158,1),(184,1),(185,1),(186,1),(187,1),(204,1),(205,1),(206,1)}
       172:{3,4,5}:{(155,1),(159,1),(185,1),(186,1)}
       173:{1,5}:{(156,1),(160,1)}
       174:{1,4,6}:{(157,1),(161,1),(165,1),(184,1),(187,1),(188,1)}
       175:{3,6}:{(158,1),(166,1),(185,1)}
       176:{1,4,6}:{(159,1),(162,1),(167,1),(186,1),(189,1)}
       177:{4,5}:{(160,1),(161,1)}
       178:{1,5,6}:{(163,1),(164,1),(168,1),(191,1)}
       179:{1,4,5,7}:{(164,1),(165,1),(169,1),(187,1),(191,1),(192,1)}
       180:{3,4,7}:{(165,1),(166,1),(188,1),(192,1),(193,1)}
       181:{1,3,7}:{(166,1),(167,1),(189,1),(194,1)}
       182:{2,3,7}:{(166,1),(190,1),(193,1),(194,1)}
       183:{4,6}:{(168,1),(169,1)}
       184:{1,4}:{(170,1),(195,1)}
       185:{3,5}:{(171,1),(175,1),(195,1)}
       186:{1,4,5}:{(172,1),(176,1),(196,1)}
       187:{1,4,5}:{(173,1),(174,1),(177,1),(198,1)}
       188:{3,4,6}:{(174,1),(175,1),(180,1),(195,1),(198,1),(199,1),(201,1)}
       189:{1,3,6}:{(175,1),(176,1),(181,1),(196,1),(200,1)}
       190:{2,3,6}:{(175,1),(182,1),(197,1),(199,1),(200,1)}
       191:{1,4,6}:{(178,1),(179,1),(183,1),(201,1)}
       192:{3,5,7}:{(179,1),(180,1),(198,1),(201,1),(202,1)}
       193:{2,4,7}:{(180,1),(182,1),(199,1),(202,1)}
       194:{1,2,7}:{(181,1),(182,1),(200,1)}
       195:{3,4}:{(184,1),(185,1),(204,1)}
       196:{1,3,5}:{(185,1),(186,1),(189,1),(203,1),(205,1)}
       197:{2,3,5}:{(185,1),(190,1),(204,1),(205,1),(206,1),(209,1)}
       198:{3,5}:{(187,1),(188,1),(206,1)}
       199:{2,4,6}:{(188,1),(190,1),(193,1),(204,1),(206,1),(207,1)}
       200:{1,2,6}:{(189,1),(190,1),(194,1),(205,1)}
       201:{3,6}:{(191,1),(192,1),(207,1)}
       202:{2,5,7}:{(192,1),(193,1),(206,1),(207,1)}
       203:{1,3,4}:{(195,1),(196,1),(208,1)}
       204:{2,4}:{(195,1),(197,1)}
       205:{1,2,5}:{(196,1),(197,1),(200,1),(208,1)}
       206:{2,5}:{(198,1),(199,1)}
       207:{2,6}:{(201,1),(202,1)}
       208:{1,2,4}:{(203,1),(204,1),(205,1),(209,1)}
       209:{2,3}:{(208,1)}

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

 694 :   0:{2,3,4,5}:{(1,1),(2,1),(30,1),(75,1),(90,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(62,1)}
         2:{1,2,4,5}:{(0,1),(5,1),(7,1),(18,1),(56,1),(68,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(11,1),(38,1),(128,1),(187,1),(203,1)}
         4:{2,3,5,6}:{(1,1),(10,1),(12,1),(13,1),(38,1),(75,1),(132,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(12,1),(14,1),(15,1),(43,1)}
         6:{2,3,4,7}:{(1,1),(13,1),(15,1),(91,1)}
         7:{1,3,5}:{(2,1),(14,1),(16,1)}
         8:{1,2,3,5}:{(7,1),(17,1),(18,1),(51,1),(56,1)}
         9:{1,4,5,6}:{(3,1),(19,1),(21,1),(157,1),(208,1)}
        10:{2,4,5,6}:{(3,1),(4,1),(22,1),(100,1),(161,1)}
        11:{3,4,5,7}:{(3,1),(21,1),(22,1),(23,1),(63,1),(179,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(24,1),(25,1),(56,1),(114,1)}
        13:{2,3,5,7}:{(4,1),(6,1),(22,1),(25,1),(26,1),(63,1)}
        14:{1,3,6}:{(5,1),(7,1),(28,1)}
        15:{1,2,4,7}:{(5,1),(6,1),(25,1),(28,1),(69,1)}
        16:{1,3,4}:{(7,1),(18,1)}
        17:{1,2,3,6}:{(8,1),(14,1),(33,1),(34,1),(77,1)}
        18:{1,2,4}:{(8,1),(16,1),(30,1)}
        19:{1,3,5,6}:{(9,1),(31,1),(36,1),(37,1),(38,1),(137,1),(195,1)}
        20:{1,2,4,5,6}:{(9,1),(10,1),(12,1),(36,1),(38,1),(39,1),(43,1),(81,1),(87,1),(143,1),(154,1),(201,1),(203,1)}
        21:{1,4,5,7}:{(9,1),(11,1),(37,1),(40,1)}
        22:{2,4,5,7}:{(10,1),(11,1),(13,1),(41,1)}
        23:{3,4,6,7}:{(11,1),(40,1),(41,1),(42,1),(92,1),(152,1),(187,1)}
        24:{1,3,5,6}:{(12,1),(14,1),(38,1),(43,1),(44,1),(46,1),(98,1),(154,1)}
        25:{1,2,5,7}:{(12,1),(13,1),(15,1),(44,1),(45,1)}
        26:{2,3,6,7}:{(13,1),(41,1),(45,1),(92,1),(132,1)}
        27:{1,3,4,6}:{(14,1),(16,1),(33,1),(43,1),(46,1),(47,1),(80,1),(98,1)}
        28:{1,3,7}:{(14,1),(15,1)}
        29:{1,3,4,5}:{(16,1),(35,1),(46,1),(48,1),(128,1)}
        30:{2,3,4}:{(18,1),(51,1)}
        31:{1,3,4,6}:{(19,1),(49,1),(52,1),(53,1),(62,1)}
        32:{1,2,3,5,6}:{(17,1),(24,1),(54,1),(55,1),(56,1),(59,1),(101,1),(104,1),(108,1),(114,1),(163,1),(167,1),(170,1),(173,1),(213,1)}
        33:{1,2,4,6}:{(17,1),(18,1),(27,1),(50,1),(56,1),(57,1),(114,1)}
        34:{1,2,3,7}:{(17,1),(28,1),(57,1),(103,1)}
        35:{1,2,4,5}:{(18,1),(29,1),(51,1),(56,1),(58,1),(100,1)}
        36:{1,2,5,6}:{(19,1),(52,1),(59,1),(60,1),(163,1),(213,1)}
        37:{1,3,5,7}:{(19,1),(21,1),(53,1),(60,1),(61,1),(63,1)}
        38:{3,5,6}:{(20,1),(62,1),(63,1),(108,1),(170,1)}
        39:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(25,1),(60,1),(63,1),(64,1),(69,1),(116,1),(124,1),(176,1),(179,1)}
        40:{1,4,6,7}:{(21,1),(23,1),(61,1),(65,1),(208,1)}
        41:{2,4,6,7}:{(22,1),(23,1),(26,1),(66,1),(161,1)}
        42:{3,5,6,7}:{(23,1),(65,1),(66,1),(67,1),(210,1)}
        43:{1,4,6}:{(24,1),(62,1),(68,1),(69,1)}
        44:{1,3,5,7}:{(24,1),(25,1),(28,1),(63,1),(69,1),(70,1),(124,1)}
        45:{1,2,6,7}:{(25,1),(26,1),(70,1),(114,1)}
        46:{1,3,5}:{(27,1),(56,1),(68,1),(108,1)}
        47:{1,3,4,7}:{(27,1),(28,1),(57,1),(69,1),(72,1),(109,1)}
        48:{1,3,4,6}:{(29,1),(58,1),(71,1),(73,1),(158,1)}
        49:{1,3,4,5}:{(31,1),(74,1),(90,1),(137,1),(181,1)}
        50:{2,3,4,6}:{(30,1),(33,1),(75,1),(76,1),(77,1),(80,1),(129,1),(132,1)}
        51:{2,3,5}:{(30,1),(35,1),(77,1)}
        52:{1,2,4,6}:{(31,1),(36,1),(74,1),(78,1),(79,1),(87,1)}
        53:{1,3,4,7}:{(31,1),(37,1),(79,1),(91,1)}
        54:{1,2,4,6}:{(32,1),(43,1),(80,1),(81,1),(82,1),(87,1),(129,1),(184,1)}
        55:{1,2,3,5,7}:{(32,1),(34,1),(44,1),(82,1),(83,1),(85,1),(88,1),(131,1),(134,1),(140,1),(144,1),(191,1),(194,1)}
        56:{1,2,5}:{(33,1),(46,1),(75,1)}
        57:{1,2,4,7}:{(33,1),(34,1),(47,1),(76,1),(85,1)}
        58:{1,2,4,6}:{(35,1),(48,1),(77,1),(84,1),(86,1),(129,1)}
        59:{2,3,5,6}:{(36,1),(38,1),(78,1),(87,1),(88,1),(135,1),(193,1),(201,1)}
        60:{1,2,5,7}:{(36,1),(37,1),(79,1),(88,1),(89,1)}
        61:{1,3,6,7}:{(37,1),(40,1),(89,1),(92,1),(195,1)}
        62:{3,4,6}:{(38,1),(43,1),(87,1),(90,1),(91,1)}
        63:{3,5,7}:{(38,1),(39,1),(91,1),(92,1)}
        64:{1,2,4,6,7}:{(39,1),(40,1),(41,1),(45,1),(89,1),(92,1),(93,1),(96,1),(143,1),(148,1),(152,1)}
        65:{1,5,6,7}:{(40,1),(42,1),(223,1)}
        66:{2,5,6,7}:{(41,1),(42,1),(189,1)}
        67:{4,5,6,7}:{(42,1),(152,1),(225,1)}
        68:{1,4,5}:{(43,1),(46,1),(90,1)}
        69:{1,4,7}:{(43,1),(44,1),(91,1)}
        70:{1,3,6,7}:{(44,1),(45,1),(92,1),(96,1),(98,1)}
        71:{1,3,5,6}:{(46,1),(48,1),(84,1),(94,1),(97,1),(98,1),(139,1)}
        72:{1,3,5,7}:{(46,1),(47,1),(85,1),(95,1),(98,1),(140,1)}
        73:{1,3,4,7}:{(48,1),(86,1),(97,1),(186,1)}
        74:{1,2,4,5}:{(49,1),(52,1),(99,1),(115,1),(155,1),(163,1)}
        75:{2,3,5}:{(50,1),(56,1),(100,1),(108,1)}
        76:{2,3,4,7}:{(50,1),(57,1),(102,1),(103,1),(109,1),(160,1)}
        77:{2,3,6}:{(51,1),(58,1),(103,1)}
        78:{2,3,6}:{(52,1),(99,1),(106,1)}
        79:{1,2,4,7}:{(52,1),(53,1),(60,1),(106,1),(116,1)}
        80:{3,4,6}:{(54,1),(108,1),(109,1),(170,1)}
        81:{1,2,4,5}:{(54,1),(56,1),(68,1),(100,1),(108,1),(115,1),(157,1),(163,1)}
        82:{1,2,4,7}:{(54,1),(55,1),(69,1),(109,1),(116,1),(160,1),(207,1)}
        83:{1,2,3,6,7}:{(55,1),(70,1),(112,1),(114,1),(117,1),(162,1),(170,1),(213,1),(215,1)}
        84:{1,2,5,6}:{(56,1),(58,1),(71,1),(101,1),(113,1),(114,1)}
        85:{1,2,5,7}:{(56,1),(57,1),(72,1),(102,1),(114,1)}
        86:{1,2,4,7}:{(58,1),(73,1),(103,1),(113,1),(160,1)}
        87:{2,4,6}:{(59,1),(62,1),(115,1),(116,1)}
        88:{2,3,5,7}:{(59,1),(60,1),(63,1),(106,1),(116,1),(117,1),(176,1)}
        89:{1,2,6,7}:{(60,1),(61,1),(117,1),(213,1)}
        90:{3,4,5}:{(62,1),(68,1),(108,1),(115,1)}
        91:{3,4,7}:{(62,1),(63,1),(69,1),(116,1)}
        92:{3,6,7}:{(63,1),(64,1),(170,1)}
        93:{1,2,5,6,7}:{(64,1),(65,1),(66,1),(121,1),(124,1),(173,1),(176,1)}
        94:{1,4,5,6}:{(68,1),(71,1),(118,1),(122,1),(123,1)}
        95:{1,4,5,7}:{(68,1),(69,1),(72,1),(119,1),(123,1),(124,1)}
        96:{1,4,6,7}:{(69,1),(70,1),(120,1),(123,1),(124,1)}
        97:{1,3,5,7}:{(71,1),(73,1),(113,1),(122,1),(125,1),(169,1)}
        98:{1,3,6}:{(72,1),(114,1),(123,1),(170,1)}
        99:{2,3,5}:{(74,1),(78,1),(127,1)}
       100:{2,4,5}:{(75,1),(128,1),(129,1)}
       101:{2,3,5,6}:{(75,1),(77,1),(84,1),(129,1),(131,1),(132,1),(139,1),(189,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(85,1),(130,1),(132,1),(140,1)}
       103:{2,3,7}:{(77,1),(86,1)}
       104:{1,2,3,6}:{(78,1),(126,1),(133,1),(134,1),(220,1)}
       105:{2,3,4,6}:{(78,1),(80,1),(87,1),(127,1),(133,1),(135,1),(136,1),(193,1)}
       106:{2,3,7}:{(78,1),(79,1)}
       107:{1,3,4,6}:{(80,1),(133,1),(137,1),(138,1),(181,1),(184,1),(195,1),(220,1)}
       108:{3,5}:{(80,1),(81,1)}
       109:{3,4,7}:{(80,1),(82,1),(140,1)}
       110:{1,2,4,5,6}:{(81,1),(84,1),(94,1),(129,1),(139,1),(142,1),(143,1),(146,1),(184,1),(189,1),(190,1),(223,1),(225,1)}
       111:{1,2,4,5,7}:{(81,1),(82,1),(85,1),(95,1),(130,1),(140,1),(143,1),(144,1),(147,1),(185,1),(191,1),(198,1)}
       112:{1,2,4,6,7}:{(82,1),(83,1),(96,1),(141,1),(143,1),(144,1),(148,1),(188,1),(222,1)}
       113:{1,2,5,7}:{(84,1),(86,1),(97,1),(131,1),(145,1)}
       114:{1,2,6}:{(85,1),(98,1),(132,1)}
       115:{2,4,5}:{(87,1),(90,1),(135,1)}
       116:{2,4,7}:{(87,1),(88,1),(91,1)}
       117:{2,3,6,7}:{(88,1),(89,1),(92,1),(148,1),(193,1)}
       118:{3,4,5,6}:{(90,1),(94,1),(139,1),(146,1),(149,1),(150,1),(225,1)}
       119:{3,4,5,7}:{(90,1),(91,1),(95,1),(140,1),(147,1),(150,1),(151,1),(198,1)}
       120:{3,4,6,7}:{(91,1),(92,1),(96,1),(148,1),(150,1),(151,1),(152,1)}
       121:{3,5,6,7}:{(92,1),(93,1),(151,1),(152,1),(197,1)}
       122:{1,4,5,7}:{(94,1),(97,1),(149,1),(153,1)}
       123:{1,4,6}:{(95,1),(98,1),(150,1),(154,1)}
       124:{1,5,7}:{(96,1),(151,1),(154,1)}
       125:{1,3,6,7}:{(97,1),(98,1),(145,1),(153,1),(196,1)}
       126:{1,2,3,5}:{(99,1),(104,1),(155,1),(163,1),(204,1)}
       127:{2,3,4}:{(99,1),(155,1)}
       128:{3,4,5}:{(100,1),(108,1),(157,1),(158,1)}
       129:{2,4,6}:{(100,1),(101,1),(158,1),(160,1)}
       130:{2,4,5,7}:{(100,1),(102,1),(159,1),(160,1),(161,1),(211,1)}
       131:{2,3,5,7}:{(101,1),(103,1),(113,1),(160,1),(162,1),(169,1),(211,1)}
       132:{2,3,6}:{(102,1),(114,1),(161,1),(170,1)}
       133:{1,2,4,6}:{(104,1),(105,1),(107,1),(155,1),(163,1),(164,1),(213,1)}
       134:{1,2,3,7}:{(104,1),(106,1),(164,1),(228,1)}
       135:{2,3,5}:{(105,1),(108,1),(115,1),(163,1)}
       136:{2,3,4,7}:{(105,1),(106,1),(109,1),(116,1),(164,1),(166,1)}
       137:{1,3,5}:{(107,1),(108,1),(157,1),(163,1)}
       138:{1,3,4,7}:{(107,1),(109,1),(164,1),(168,1),(207,1),(228,1)}
       139:{3,5,6}:{(108,1),(110,1),(158,1),(169,1),(170,1)}
       140:{3,5,7}:{(108,1),(109,1),(111,1),(170,1)}
       141:{3,4,6,7}:{(109,1),(112,1),(170,1),(171,1),(217,1)}
       142:{1,2,4,5,7}:{(110,1),(113,1),(122,1),(160,1),(169,1),(172,1),(174,1),(207,1),(211,1),(212,1),(229,1),(230,1)}
       143:{1,2,4,6}:{(111,1),(114,1),(123,1),(161,1),(170,1),(173,1),(175,1),(208,1),(213,1),(217,1)}
       144:{1,2,5,7}:{(112,1),(124,1),(171,1),(173,1),(176,1),(211,1),(229,1)}
       145:{1,2,6,7}:{(113,1),(114,1),(125,1),(162,1)}
       146:{2,4,5,6}:{(115,1),(118,1),(165,1),(174,1),(175,1)}
       147:{2,4,5,7}:{(115,1),(116,1),(119,1),(166,1),(175,1),(176,1)}
       148:{2,4,6,7}:{(116,1),(117,1),(120,1),(175,1),(176,1)}
       149:{3,4,5,7}:{(118,1),(122,1),(169,1),(174,1),(177,1),(230,1)}
       150:{3,4,6}:{(119,1),(123,1),(170,1),(175,1),(178,1),(217,1)}
       151:{3,5,7}:{(120,1),(124,1),(176,1),(178,1),(179,1)}
       152:{4,6,7}:{(121,1),(179,1),(217,1)}
       153:{1,4,6,7}:{(122,1),(123,1),(125,1),(177,1),(180,1)}
       154:{1,5,6}:{(123,1),(124,1),(178,1)}
       155:{1,2,4}:{(126,1),(127,1),(181,1)}
       156:{2,3,4,5}:{(127,1),(128,1),(135,1),(182,1),(183,1)}
       157:{1,4,5}:{(128,1),(137,1),(184,1)}
       158:{3,4,6}:{(128,1),(129,1),(139,1),(184,1),(186,1)}
       159:{3,4,5,7}:{(128,1),(130,1),(140,1),(185,1),(186,1),(187,1),(198,1),(224,1)}
       160:{2,4,7}:{(129,1),(131,1),(186,1)}
       161:{2,4,6}:{(130,1),(132,1),(187,1),(189,1)}
       162:{2,3,6,7}:{(131,1),(132,1),(145,1),(188,1),(196,1)}
       163:{1,2,5}:{(133,1),(135,1),(137,1)}
       164:{1,2,4,7}:{(133,1),(134,1),(136,1),(138,1),(191,1)}
       165:{2,3,5,6}:{(135,1),(139,1),(146,1),(183,1),(190,1),(192,1),(193,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(140,1),(147,1),(191,1),(193,1)}
       167:{1,3,5,6}:{(137,1),(139,1),(184,1),(190,1),(194,1),(195,1),(220,1),(223,1)}
       168:{1,3,5,7}:{(137,1),(138,1),(140,1),(185,1),(191,1),(195,1)}
       169:{3,5,7}:{(139,1),(142,1),(186,1),(196,1)}
       170:{3,6}:{(140,1),(143,1)}
       171:{3,5,7}:{(141,1),(144,1),(197,1),(198,1)}
       172:{1,2,4,6,7}:{(142,1),(143,1),(145,1),(153,1),(188,1),(196,1),(199,1),(200,1),(222,1),(226,1),(227,1)}
       173:{1,2,5,6}:{(143,1),(144,1),(154,1),(189,1),(197,1),(201,1),(223,1)}
       174:{2,4,5,7}:{(146,1),(149,1),(192,1),(200,1)}
       175:{2,4,6}:{(147,1),(150,1),(193,1),(201,1)}
       176:{2,5,7}:{(148,1),(151,1),(201,1)}
       177:{3,4,6,7}:{(149,1),(150,1),(153,1),(196,1),(200,1),(202,1),(227,1)}
       178:{3,5,6}:{(150,1),(151,1),(154,1),(201,1),(203,1)}
       179:{4,5,7}:{(151,1),(152,1),(203,1)}
       180:{1,5,6,7}:{(153,1),(154,1),(202,1)}
       181:{1,3,4}:{(155,1),(204,1)}
       182:{1,2,4,5}:{(155,1),(156,1),(157,1),(163,1),(204,1),(205,1)}
       183:{2,3,4,6}:{(156,1),(158,1),(165,1),(205,1),(206,1)}
       184:{1,4,6}:{(157,1),(158,1),(167,1),(207,1)}
       185:{1,4,5,7}:{(157,1),(159,1),(168,1),(207,1),(208,1),(229,1)}
       186:{3,4,7}:{(158,1),(160,1),(169,1),(207,1)}
       187:{3,4,6}:{(159,1),(161,1),(170,1),(208,1),(210,1),(217,1)}
       188:{2,4,6,7}:{(160,1),(161,1),(162,1),(209,1),(211,1)}
       189:{2,5,6}:{(161,1),(210,1),(211,1)}
       190:{1,2,5,6}:{(163,1),(165,1),(167,1),(205,1),(212,1),(213,1)}
       191:{1,2,5,7}:{(163,1),(164,1),(166,1),(168,1),(213,1)}
       192:{2,3,5,7}:{(165,1),(169,1),(174,1),(206,1),(212,1),(214,1)}
       193:{2,3,6}:{(166,1),(170,1),(175,1),(213,1)}
       194:{1,3,5,7}:{(167,1),(169,1),(207,1),(212,1),(215,1),(228,1),(229,1)}
       195:{1,3,6}:{(168,1),(170,1),(208,1),(213,1)}
       196:{3,6,7}:{(169,1),(170,1),(172,1)}
       197:{3,5,6}:{(170,1),(171,1),(173,1),(217,1)}
       198:{4,5,7}:{(171,1),(217,1)}
       199:{1,2,5,6,7}:{(172,1),(173,1),(180,1),(211,1),(216,1),(218,1),(229,1)}
       200:{2,4,6,7}:{(174,1),(175,1),(177,1),(214,1),(218,1)}
       201:{2,5,6}:{(175,1),(176,1),(178,1)}
       202:{3,5,6,7}:{(177,1),(178,1),(180,1),(218,1),(219,1)}
       203:{4,5,6}:{(178,1),(179,1),(217,1)}
       204:{1,3,5}:{(181,1),(182,1),(220,1)}
       205:{1,2,4,6}:{(182,1),(183,1),(184,1),(190,1),(220,1),(221,1)}
       206:{2,3,4,7}:{(183,1),(186,1),(192,1),(221,1)}
       207:{1,4,7}:{(184,1),(186,1),(194,1)}
       208:{1,4,6}:{(185,1),(187,1),(195,1),(223,1)}
       209:{3,4,6,7}:{(186,1),(187,1),(188,1),(196,1),(222,1),(224,1),(227,1)}
       210:{3,5,6}:{(187,1),(189,1),(223,1),(224,1),(225,1)}
       211:{2,5,7}:{(188,1),(189,1),(224,1)}
       212:{1,2,5,7}:{(190,1),(192,1),(194,1),(221,1),(226,1)}
       213:{1,2,6}:{(191,1),(193,1),(195,1)}
       214:{2,3,6,7}:{(192,1),(193,1),(196,1),(200,1),(226,1)}
       215:{1,3,6,7}:{(194,1),(195,1),(196,1),(222,1),(226,1)}
       216:{3,5,6,7}:{(196,1),(197,1),(199,1),(224,1),(227,1)}
       217:{4,6}:{(197,1),(198,1)}
       218:{2,5,6,7}:{(200,1),(201,1),(202,1)}
       219:{4,5,6,7}:{(202,1),(203,1),(227,1)}
       220:{1,3,6}:{(204,1),(205,1),(228,1)}
       221:{1,2,4,7}:{(205,1),(206,1),(207,1),(212,1),(228,1)}
       222:{1,4,6,7}:{(207,1),(208,1),(209,1),(215,1),(229,1)}
       223:{1,5,6}:{(208,1),(210,1),(229,1)}
       224:{3,5,7}:{(209,1),(210,1),(211,1),(229,1),(230,1)}
       225:{4,5,6}:{(210,1),(217,1),(230,1)}
       226:{1,2,6,7}:{(212,1),(213,1),(214,1),(215,1)}
       227:{4,6,7}:{(216,1),(217,1),(230,1)}
       228:{1,3,7}:{(220,1),(221,1)}
       229:{1,5,7}:{(222,1),(223,1),(224,1)}
       230:{4,5,7}:{(224,1),(225,1),(227,1)}

 695 :   0:{2,3,4,6,7}:{(1,1),(2,1),(9,1),(25,1),(29,1),(31,1),(53,1),(59,1),(80,1),(86,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(38,1),(69,1),(96,1),(102,1)}
         2:{2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(75,1),(101,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(9,1),(27,1),(29,1)}
         4:{1,3,6,7}:{(1,1),(10,1),(29,1),(111,1),(115,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(114,1)}
         6:{2,4,5,7}:{(2,1),(9,1),(12,1),(80,1),(88,1)}
         7:{2,3,5,6,7}:{(3,1),(13,1),(14,1),(35,1),(37,1),(64,1),(123,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(40,1),(75,1)}
         9:{2,4,6}:{(3,1),(6,1),(18,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(125,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(46,1),(47,1),(75,1),(96,1),(103,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(49,1),(81,1),(84,1),(112,1)}
        14:{2,4,6,7}:{(7,1),(9,1),(22,1),(25,1),(80,1),(131,1)}
        15:{2,4,5,6}:{(9,1),(22,1),(27,1)}
        16:{1,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(59,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(27,1),(29,1),(30,1)}
        19:{1,4,7}:{(10,1),(28,1),(31,1),(132,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(111,1),(116,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(32,1),(49,1),(79,1),(87,1)}
        22:{2,4,5,7}:{(14,1),(15,1),(35,1),(136,1)}
        23:{1,3,5,6,7}:{(13,1),(16,1),(36,1),(37,1),(63,1),(66,1),(97,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(36,1),(37,1),(38,1),(68,1),(69,1),(96,1),(121,1)}
        25:{3,4,6,7}:{(14,1),(18,1),(35,1),(37,1),(38,1),(62,1),(135,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(39,1),(40,1),(41,1),(65,1),(71,1),(72,1),(73,1),(75,1),(98,1),(103,1),(121,1),(136,1),(139,1)}
        27:{3,5,6}:{(15,1),(18,1),(35,1),(40,1)}
        28:{1,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{1,4,6}:{(18,1),(21,1),(40,1),(43,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(46,1),(126,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(47,1),(74,1)}
        33:{2,3,5,7}:{(20,1),(44,1),(46,1),(47,1),(75,1),(77,1),(105,1)}
        34:{1,2,4,5,7}:{(22,1),(24,1),(26,1),(48,1),(49,1),(50,1),(79,1),(80,1),(81,1),(84,1)}
        35:{3,5,7}:{(22,1),(25,1),(27,1),(49,1),(138,1)}
        36:{1,4,6,7}:{(23,1),(28,1),(50,1),(51,1),(79,1),(108,1)}
        37:{3,6,7}:{(24,1),(29,1),(48,1),(111,1),(129,1)}
        38:{1,4,6,7}:{(25,1),(30,1),(49,1),(52,1),(79,1),(137,1)}
        39:{3,5,6}:{(26,1),(29,1),(48,1),(54,1),(57,1),(116,1),(129,1),(138,1)}
        40:{1,5,6}:{(27,1),(30,1),(49,1)}
        41:{1,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(59,1)}
        43:{1,3,6}:{(29,1),(30,1),(32,1),(60,1)}
        44:{2,3,6}:{(29,1),(33,1),(59,1),(60,1)}
        45:{1,3,4,7}:{(31,1),(32,1),(58,1),(61,1),(79,1),(111,1)}
        46:{2,4,7}:{(31,1),(33,1),(59,1),(117,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(37,1),(39,1),(62,1)}
        49:{1,5,7}:{(35,1),(38,1),(40,1),(139,1)}
        50:{1,4,5,7}:{(36,1),(41,1),(65,1),(66,1)}
        51:{3,4,6,7}:{(36,1),(37,1),(42,1),(62,1),(66,1),(68,1),(93,1)}
        52:{1,3,6,7}:{(37,1),(38,1),(43,1),(63,1),(69,1),(133,1)}
        53:{2,3,6,7}:{(37,1),(44,1),(64,1),(68,1),(69,1),(118,1)}
        54:{3,4,6}:{(39,1),(62,1),(70,1),(71,1),(72,1),(104,1),(126,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(63,1),(71,1),(73,1),(74,1),(104,1),(125,1),(133,1),(139,1)}
        56:{2,3,5,6}:{(39,1),(44,1),(64,1),(72,1),(73,1),(75,1),(98,1),(101,1),(104,1),(105,1),(118,1)}
        57:{3,5}:{(41,1),(42,1),(75,1)}
        58:{1,3,4,6}:{(42,1),(43,1),(45,1),(71,1),(74,1),(76,1),(104,1),(126,1)}
        59:{2,4,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(54,1),(79,1),(80,1),(111,1)}
        63:{1,3,5,7}:{(48,1),(49,1),(52,1),(55,1),(79,1),(81,1),(111,1)}
        64:{2,3,5,7}:{(48,1),(53,1),(56,1),(80,1),(81,1),(84,1),(111,1)}
        65:{1,4,5,6}:{(50,1),(82,1),(108,1)}
        66:{3,5,7}:{(50,1),(51,1),(57,1),(82,1),(84,1)}
        67:{1,3,4,6,7}:{(51,1),(52,1),(58,1),(79,1),(83,1),(85,1),(108,1),(111,1),(129,1),(130,1),(137,1)}
        68:{2,4,6,7}:{(51,1),(53,1),(59,1),(80,1),(84,1),(109,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(60,1),(81,1),(127,1)}
        70:{3,4,5}:{(54,1),(57,1),(87,1),(88,1),(116,1),(138,1)}
        71:{1,4,6}:{(54,1),(55,1),(79,1),(87,1),(132,1)}
        72:{2,4,6}:{(54,1),(56,1),(80,1),(88,1),(117,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(60,1),(81,1),(89,1),(90,1),(114,1),(127,1)}
        74:{1,3,5}:{(57,1),(58,1),(87,1),(90,1),(116,1)}
        75:{2,5}:{(57,1),(59,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{2,3,7}:{(61,1),(91,1),(111,1)}
        78:{3,4,5,7}:{(62,1),(66,1),(70,1),(93,1),(94,1),(95,1),(122,1)}
        79:{1,4,7}:{(62,1),(63,1),(71,1)}
        80:{2,4,7}:{(62,1),(64,1),(72,1)}
        81:{1,2,5,7}:{(63,1),(64,1),(69,1),(73,1),(96,1)}
        82:{3,5,6}:{(65,1),(66,1),(93,1),(98,1)}
        83:{1,3,5,7}:{(66,1),(67,1),(74,1),(94,1),(97,1),(99,1),(122,1),(139,1)}
        84:{2,5,7}:{(66,1),(68,1),(75,1),(98,1)}
        85:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(96,1),(99,1),(100,1),(121,1),(124,1)}
        86:{2,3,4,6}:{(72,1),(92,1),(101,1),(102,1),(104,1),(118,1),(126,1),(135,1)}
        87:{1,4,5}:{(70,1),(71,1),(74,1),(139,1)}
        88:{2,4,5}:{(70,1),(72,1),(75,1),(101,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(73,1),(96,1),(103,1),(104,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{2,3,6}:{(76,1),(77,1),(104,1),(105,1)}
        92:{2,3,4,7}:{(80,1),(86,1),(106,1),(107,1),(111,1),(130,1)}
        93:{3,4,6}:{(78,1),(82,1),(108,1),(109,1),(129,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(108,1)}
        95:{2,4,5,7}:{(78,1),(80,1),(84,1),(88,1),(106,1),(109,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(89,1),(111,1)}
        97:{1,3,5,6}:{(82,1),(83,1),(108,1),(112,1),(129,1)}
        98:{2,5,6}:{(82,1),(84,1),(109,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(85,1),(90,1),(112,1),(113,1)}
       100:{2,3,6,7}:{(85,1),(91,1),(111,1),(113,1),(129,1)}
       101:{2,3,5}:{(86,1),(88,1),(114,1),(116,1),(138,1)}
       102:{1,2,4,6}:{(86,1),(107,1),(114,1),(115,1),(127,1),(132,1),(137,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(89,1),(90,1),(114,1),(116,1),(117,1),(132,1)}
       104:{3,6}:{(89,1),(111,1),(116,1)}
       105:{2,3,5}:{(90,1),(91,1),(116,1),(117,1)}
       106:{2,3,5,7}:{(92,1),(95,1),(101,1),(118,1),(119,1),(122,1)}
       107:{1,2,4,7}:{(92,1),(102,1),(119,1),(120,1),(134,1)}
       108:{1,4,6}:{(93,1),(94,1),(97,1)}
       109:{2,4,6}:{(93,1),(95,1),(98,1),(118,1)}
       110:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(103,1),(119,1),(121,1),(122,1),(124,1),(134,1),(136,1),(139,1)}
       111:{3,7}:{(96,1),(104,1)}
       112:{1,2,5,6}:{(97,1),(98,1),(99,1),(121,1),(123,1),(139,1)}
       113:{2,3,5,7}:{(99,1),(100,1),(105,1),(122,1),(123,1),(124,1)}
       114:{1,2,5}:{(101,1),(102,1),(125,1),(139,1)}
       115:{1,3,6}:{(102,1),(104,1),(120,1),(125,1)}
       116:{3,5}:{(103,1),(104,1),(126,1)}
       117:{2,4}:{(105,1),(126,1)}
       118:{2,3,6}:{(106,1),(109,1),(127,1),(129,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(114,1),(127,1),(128,1)}
       120:{1,3,7}:{(107,1),(111,1),(115,1)}
       121:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1),(131,1),(137,1)}
       122:{3,5,7}:{(110,1),(111,1),(116,1),(129,1),(130,1),(138,1)}
       123:{2,3,5,6}:{(112,1),(113,1),(129,1),(131,1),(138,1)}
       124:{2,4,7}:{(113,1),(117,1),(130,1),(131,1)}
       125:{1,3,5}:{(114,1),(115,1),(116,1),(132,1)}
       126:{3,4}:{(116,1),(117,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{1,3,5,7}:{(119,1),(120,1),(122,1),(125,1),(133,1),(134,1),(139,1)}
       129:{3,6}:{(121,1),(122,1)}
       130:{3,4,7}:{(122,1),(124,1),(126,1),(134,1),(135,1)}
       131:{2,4,6}:{(123,1),(124,1),(135,1),(136,1)}
       132:{1,4}:{(125,1),(126,1)}
       133:{1,3,6}:{(127,1),(128,1),(129,1),(137,1)}
       134:{1,4,7}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,4,6}:{(129,1),(130,1),(131,1),(137,1),(138,1)}
       136:{2,4,5}:{(131,1),(138,1)}
       137:{1,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

 696 :   0:{1,2,4,5,6}:{(1,1),(2,1),(9,1),(10,1),(12,1),(32,1),(73,1),(74,1),(75,1),(76,1),(102,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(51,1),(88,1),(100,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(24,1),(26,1),(62,1),(63,1),(64,1)}
         3:{3,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(40,1),(71,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(12,1),(13,1),(30,1),(40,1),(67,1),(68,1),(74,1),(94,1),(96,1),(103,1)}
         5:{2,3,5,6}:{(1,1),(10,1),(12,1),(14,1),(31,1),(40,1),(65,1),(70,1),(75,1),(92,1),(96,1),(102,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(15,1)}
         7:{1,2,4,6,7}:{(2,1),(15,1),(16,1),(42,1),(43,1),(45,1),(46,1),(73,1)}
         8:{3,4,5}:{(3,1),(17,1),(18,1),(51,1),(100,1)}
         9:{1,4,6}:{(3,1),(4,1),(17,1),(23,1),(84,1),(101,1)}
        10:{2,4,6}:{(3,1),(5,1),(18,1),(24,1),(81,1),(101,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(24,1),(60,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(22,1),(26,1),(47,1),(49,1),(83,1),(86,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(23,1),(26,1),(27,1),(60,1),(62,1),(90,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(24,1),(26,1),(28,1),(60,1),(63,1),(90,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,2,5,6,7}:{(7,1),(29,1),(62,1),(63,1),(89,1)}
        17:{1,4,5}:{(8,1),(9,1),(30,1),(103,1),(104,1)}
        18:{2,4,5}:{(8,1),(10,1),(31,1),(102,1),(104,1)}
        19:{3,4,5,7}:{(8,1),(11,1),(33,1),(34,1),(35,1),(44,1),(72,1),(97,1),(104,1)}
        20:{1,3,4,6}:{(9,1),(30,1),(36,1),(37,1),(40,1),(67,1),(71,1),(95,1)}
        21:{2,3,4,6}:{(10,1),(31,1),(38,1),(39,1),(40,1),(70,1),(71,1),(95,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(12,1),(32,1),(40,1),(41,1)}
        23:{1,4,7}:{(9,1),(11,1),(13,1),(97,1)}
        24:{2,4,7}:{(10,1),(11,1),(14,1),(97,1)}
        25:{3,4,6,7}:{(11,1),(15,1),(35,1),(42,1),(43,1),(44,1),(46,1),(79,1),(95,1),(97,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(14,1),(41,1),(45,1)}
        27:{1,3,6,7}:{(13,1),(15,1),(42,1),(45,1),(67,1),(79,1),(94,1)}
        28:{2,3,6,7}:{(14,1),(15,1),(43,1),(45,1),(70,1),(79,1),(92,1)}
        29:{3,5,6,7}:{(15,1),(16,1),(44,1),(46,1),(96,1)}
        30:{1,3,5}:{(17,1),(20,1),(47,1),(51,1),(100,1)}
        31:{2,3,5}:{(18,1),(21,1),(49,1),(51,1),(100,1)}
        32:{1,2,4,5}:{(17,1),(18,1),(22,1),(47,1),(49,1),(51,1),(81,1),(84,1)}
        33:{1,4,5,7}:{(17,1),(19,1),(23,1),(48,1),(53,1),(62,1)}
        34:{2,4,5,7}:{(18,1),(19,1),(24,1),(50,1),(54,1),(63,1)}
        35:{3,4,6}:{(19,1),(53,1),(54,1),(55,1),(88,1),(101,1)}
        36:{1,2,4,6}:{(20,1),(47,1),(56,1),(57,1),(81,1),(83,1),(98,1)}
        37:{1,3,4,7}:{(20,1),(23,1),(48,1),(57,1),(60,1),(87,1)}
        38:{1,2,4,6}:{(21,1),(49,1),(58,1),(59,1),(84,1),(86,1),(99,1)}
        39:{2,3,4,7}:{(21,1),(24,1),(50,1),(59,1),(60,1),(87,1)}
        40:{3,6}:{(22,1),(51,1),(60,1)}
        41:{1,2,4,7}:{(22,1),(23,1),(24,1),(26,1),(60,1)}
        42:{1,4,6,7}:{(23,1),(25,1),(27,1),(53,1),(62,1),(99,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(28,1),(54,1),(63,1),(98,1)}
        44:{3,5,7}:{(25,1),(55,1),(62,1),(63,1),(64,1),(100,1)}
        45:{1,2,6,7}:{(26,1),(27,1),(28,1),(83,1),(86,1)}
        46:{4,6,7}:{(29,1),(64,1),(101,1)}
        47:{1,2,5}:{(30,1),(36,1),(65,1),(102,1)}
        48:{1,3,5,7}:{(30,1),(33,1),(37,1),(66,1),(67,1),(72,1)}
        49:{1,2,5}:{(31,1),(38,1),(68,1),(103,1)}
        50:{2,3,5,7}:{(31,1),(34,1),(39,1),(69,1),(70,1),(72,1)}
        51:{3,5}:{(32,1),(40,1),(71,1)}
        52:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(41,1),(66,1),(69,1),(72,1),(73,1),(80,1),(91,1),(93,1),(97,1),(102,1),(103,1),(104,1)}
        53:{1,4,6}:{(33,1),(35,1),(67,1),(74,1)}
        54:{2,4,6}:{(34,1),(35,1),(70,1),(75,1)}
        55:{3,5,6}:{(35,1),(44,1),(74,1),(75,1),(76,1)}
        56:{2,3,6}:{(36,1),(40,1),(65,1),(77,1)}
        57:{1,2,4,7}:{(36,1),(37,1),(66,1),(77,1),(91,1)}
        58:{1,3,6}:{(38,1),(40,1),(68,1),(78,1)}
        59:{1,2,4,7}:{(38,1),(39,1),(69,1),(78,1),(93,1)}
        60:{3,7}:{(40,1),(41,1)}
        61:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(45,1),(73,1),(79,1),(80,1),(97,1)}
        62:{1,5,7}:{(42,1),(44,1),(74,1),(103,1)}
        63:{2,5,7}:{(43,1),(44,1),(75,1),(102,1)}
        64:{4,5,7}:{(44,1),(46,1),(76,1),(97,1),(104,1)}
        65:{2,3,5}:{(47,1),(51,1),(56,1),(81,1)}
        66:{1,2,5,7}:{(47,1),(48,1),(57,1),(82,1),(83,1)}
        67:{1,3,6}:{(48,1),(53,1),(83,1),(88,1)}
        68:{1,3,5}:{(49,1),(51,1),(58,1),(84,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(59,1),(85,1),(86,1)}
        70:{2,3,6}:{(50,1),(54,1),(86,1),(88,1)}
        71:{3,4}:{(51,1),(81,1),(84,1)}
        72:{3,5,7}:{(51,1),(52,1),(60,1),(87,1),(88,1),(100,1)}
        73:{1,2,4,6}:{(52,1),(53,1),(54,1),(83,1),(86,1),(88,1),(89,1),(98,1),(99,1),(101,1)}
        74:{1,5,6}:{(53,1),(55,1),(62,1)}
        75:{2,5,6}:{(54,1),(55,1),(63,1)}
        76:{4,5,6}:{(55,1),(64,1),(101,1)}
        77:{2,3,7}:{(56,1),(57,1),(60,1)}
        78:{1,3,7}:{(58,1),(59,1),(60,1)}
        79:{3,6,7}:{(60,1),(61,1),(88,1),(90,1)}
        80:{1,2,5,7}:{(61,1),(62,1),(63,1),(89,1),(90,1)}
        81:{2,4}:{(65,1),(71,1)}
        82:{2,3,5,7}:{(65,1),(66,1),(72,1),(77,1),(91,1),(92,1),(102,1)}
        83:{1,2,6}:{(66,1),(67,1),(92,1)}
        84:{1,4}:{(68,1),(71,1)}
        85:{1,3,5,7}:{(68,1),(69,1),(72,1),(78,1),(93,1),(94,1),(103,1)}
        86:{1,2,6}:{(69,1),(70,1),(94,1)}
        87:{3,4,7}:{(71,1),(72,1),(91,1),(93,1),(95,1),(97,1)}
        88:{3,6}:{(72,1),(73,1)}
        89:{1,2,5,6}:{(73,1),(74,1),(75,1),(80,1),(96,1),(102,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{2,4,7}:{(81,1),(82,1),(87,1),(98,1)}
        92:{2,3,6}:{(82,1),(83,1),(88,1),(98,1)}
        93:{1,4,7}:{(84,1),(85,1),(87,1),(99,1)}
        94:{1,3,6}:{(85,1),(86,1),(88,1),(99,1)}
        95:{3,4,6}:{(87,1),(88,1),(98,1),(99,1),(100,1),(101,1)}
        96:{3,5,6}:{(88,1),(89,1),(90,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{2,4,6}:{(91,1),(92,1),(95,1),(102,1)}
        99:{1,4,6}:{(93,1),(94,1),(95,1),(103,1)}
       100:{3,5}:{(95,1),(102,1),(103,1),(104,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{2,5}:{(98,1),(100,1)}
       103:{1,5}:{(99,1),(100,1)}
       104:{4,5}:{(100,1),(101,1)}

 697 :   0:{1,4,5,6}:{(2,1),(3,1),(18,1),(43,1),(95,1)}
         1:{1,5,6,7}:{(5,1),(7,1),(77,1),(81,1)}
         2:{1,4,5,7}:{(0,1),(7,1),(8,1),(33,1),(35,1),(81,1)}
         3:{3,5,6}:{(0,1),(6,1),(8,1),(10,1)}
         4:{1,3,4,6}:{(12,1),(13,1),(14,1),(18,1),(48,1),(60,1),(99,1),(107,1),(148,1)}
         5:{3,5,6,7}:{(1,1),(15,1),(16,1),(20,1),(53,1),(56,1)}
         6:{3,4,6}:{(3,1),(11,1),(17,1),(18,1),(19,1),(60,1)}
         7:{1,4,6,7}:{(1,1),(2,1),(16,1),(20,1)}
         8:{3,5,7}:{(2,1),(3,1),(17,1),(20,1),(22,1)}
         9:{1,3,5,6}:{(3,1),(12,1),(18,1),(21,1),(23,1),(48,1),(60,1),(95,1),(147,1)}
        10:{2,5,6}:{(3,1),(19,1),(22,1)}
        11:{3,4,5}:{(6,1),(25,1),(26,1),(72,1)}
        12:{1,3,5}:{(4,1),(25,1),(28,1),(72,1),(132,1),(168,1)}
        13:{1,3,4,7}:{(4,1),(27,1),(29,1),(35,1),(84,1),(125,1),(131,1),(189,1)}
        14:{1,2,4,6}:{(4,1),(28,1),(29,1),(30,1),(73,1),(75,1),(126,1)}
        15:{2,5,6,7}:{(5,1),(31,1),(39,1),(82,1)}
        16:{4,6,7}:{(5,1),(33,1)}
        17:{3,4,7}:{(6,1),(8,1),(35,1),(36,1),(84,1)}
        18:{1,4,6}:{(6,1),(9,1),(25,1),(35,1),(167,1)}
        19:{2,4,6}:{(6,1),(10,1),(26,1),(32,1),(36,1)}
        20:{3,6,7}:{(7,1),(8,1),(39,1)}
        21:{1,3,5,7}:{(8,1),(9,1),(35,1),(38,1),(40,1),(81,1),(84,1),(133,1)}
        22:{2,5,7}:{(8,1),(10,1),(36,1),(39,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(28,1),(37,1),(40,1),(41,1),(73,1),(132,1),(173,1)}
        24:{3,4,5,7}:{(11,1),(17,1),(44,1),(45,1),(46,1),(56,1),(98,1),(102,1),(138,1),(155,1),(183,1)}
        25:{1,4,5}:{(11,1),(12,1),(18,1),(183,1)}
        26:{2,4,5}:{(11,1),(19,1),(42,1)}
        27:{1,3,5,7}:{(12,1),(13,1),(45,1),(48,1),(49,1),(98,1),(150,1),(154,1),(176,1)}
        28:{1,2,5}:{(12,1),(14,1),(50,1),(149,1)}
        29:{1,2,4,7}:{(13,1),(14,1),(49,1),(51,1),(101,1),(199,1)}
        30:{2,3,6}:{(14,1),(50,1),(51,1),(60,1)}
        31:{2,4,6,7}:{(15,1),(16,1),(52,1),(53,1)}
        32:{2,3,6}:{(19,1),(42,1),(54,1),(55,1),(60,1)}
        33:{4,5,7}:{(16,1),(43,1),(56,1),(155,1)}
        34:{3,4,6,7}:{(16,1),(17,1),(20,1),(44,1),(53,1),(56,1),(57,1),(58,1),(102,1),(109,1),(155,1)}
        35:{1,4,7}:{(17,1),(18,1),(21,1),(155,1)}
        36:{2,4,7}:{(17,1),(19,1),(22,1),(54,1)}
        37:{1,2,4,6}:{(18,1),(19,1),(23,1),(47,1),(55,1),(59,1),(60,1),(63,1),(107,1)}
        38:{1,3,6,7}:{(20,1),(21,1),(48,1),(57,1),(61,1),(109,1),(150,1)}
        39:{2,6,7}:{(20,1),(22,1)}
        40:{1,2,5,7}:{(21,1),(22,1),(23,1),(59,1),(61,1),(62,1),(154,1)}
        41:{2,3,5,6}:{(23,1),(50,1),(60,1),(62,1),(63,1),(100,1),(111,1),(147,1),(149,1),(157,1),(158,1)}
        42:{2,3,5}:{(26,1),(32,1),(64,1),(67,1),(72,1)}
        43:{4,5,6}:{(33,1),(68,1),(167,1)}
        44:{3,4,6}:{(24,1),(68,1),(69,1),(70,1),(124,1),(167,1)}
        45:{1,4,5,7}:{(24,1),(25,1),(27,1),(35,1),(69,1),(81,1),(127,1),(159,1)}
        46:{2,4,5,7}:{(24,1),(26,1),(36,1),(66,1),(70,1),(82,1),(128,1),(160,1)}
        47:{1,2,4,5}:{(25,1),(26,1),(28,1),(37,1),(67,1),(72,1),(75,1),(88,1),(122,1),(132,1)}
        48:{1,3,6}:{(27,1),(69,1),(73,1),(124,1),(173,1)}
        49:{1,2,5,7}:{(27,1),(28,1),(29,1),(73,1),(74,1),(169,1),(190,1)}
        50:{2,3,5}:{(28,1),(30,1),(72,1),(75,1)}
        51:{2,3,7}:{(29,1),(30,1),(84,1),(206,1)}
        52:{2,4,5,7}:{(31,1),(33,1),(65,1),(76,1),(82,1),(128,1)}
        53:{3,6,7}:{(31,1),(76,1),(77,1)}
        54:{2,3,7}:{(32,1),(36,1),(79,1),(84,1)}
        55:{1,2,6}:{(32,1),(67,1),(79,1),(80,1)}
        56:{3,5,7}:{(33,1),(34,1),(68,1),(81,1),(82,1)}
        57:{1,4,6,7}:{(34,1),(35,1),(38,1),(69,1),(77,1),(81,1),(127,1)}
        58:{2,4,6,7}:{(34,1),(36,1),(39,1),(70,1),(78,1),(82,1),(128,1)}
        59:{1,2,4,7}:{(35,1),(36,1),(37,1),(40,1),(79,1),(84,1),(87,1),(131,1)}
        60:{3,6}:{(37,1),(72,1),(84,1)}
        61:{1,2,6,7}:{(38,1),(39,1),(40,1),(73,1),(86,1),(169,1),(173,1)}
        62:{2,3,5,7}:{(40,1),(41,1),(84,1),(86,1),(87,1),(133,1),(135,1),(136,1)}
        63:{2,4,6}:{(41,1),(75,1),(85,1),(87,1),(88,1),(167,1)}
        64:{2,3,4}:{(42,1),(90,1),(99,1)}
        65:{2,4,5,6}:{(43,1),(52,1),(91,1),(96,1),(143,1)}
        66:{2,3,5,7}:{(42,1),(46,1),(54,1),(89,1),(92,1),(93,1),(98,1),(139,1),(204,1)}
        67:{1,2,5}:{(42,1),(55,1),(90,1),(94,1)}
        68:{3,5,6}:{(43,1),(44,1),(56,1),(95,1),(96,1)}
        69:{1,4,6}:{(44,1),(45,1),(48,1),(95,1)}
        70:{2,4,6}:{(44,1),(46,1),(92,1),(96,1)}
        71:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(49,1),(59,1),(93,1),(97,1),(98,1),(101,1),(108,1),(113,1),(146,1),(149,1),(151,1),(154,1),(155,1),(177,1),(182,1),(183,1),(186,1),(204,1)}
        72:{3,5}:{(47,1),(60,1),(99,1)}
        73:{1,2,6}:{(48,1),(49,1),(100,1)}
        74:{2,3,5,7}:{(49,1),(50,1),(51,1),(98,1),(100,1),(101,1),(149,1),(184,1),(200,1),(204,1)}
        75:{2,4}:{(50,1),(99,1)}
        76:{3,5,7}:{(52,1),(53,1),(91,1),(102,1),(103,1)}
        77:{1,6,7}:{(53,1),(103,1)}
        78:{2,3,6,7}:{(53,1),(54,1),(58,1),(92,1),(104,1),(105,1),(109,1)}
        79:{1,2,7}:{(54,1),(55,1),(106,1)}
        80:{1,3,6}:{(55,1),(60,1),(94,1),(106,1),(107,1)}
        81:{1,5,7}:{(56,1),(57,1),(95,1)}
        82:{2,5,7}:{(56,1),(58,1),(96,1)}
        83:{1,2,4,6,7}:{(57,1),(58,1),(59,1),(61,1),(97,1),(105,1),(108,1),(109,1),(112,1),(151,1),(153,1),(155,1)}
        84:{3,7}:{(59,1),(60,1)}
        85:{3,4,6}:{(60,1),(63,1),(99,1),(107,1),(110,1),(111,1),(157,1)}
        86:{2,3,6,7}:{(61,1),(62,1),(100,1),(109,1),(112,1),(157,1),(184,1)}
        87:{2,4,7}:{(62,1),(63,1),(110,1),(155,1)}
        88:{2,4,5}:{(63,1),(111,1),(149,1),(183,1)}
        89:{2,3,4,7}:{(64,1),(66,1),(114,1),(115,1),(125,1),(128,1),(170,1),(196,1)}
        90:{1,2,4}:{(64,1),(67,1),(116,1),(122,1)}
        91:{3,5,6}:{(65,1),(76,1),(117,1),(118,1)}
        92:{2,3,6}:{(66,1),(70,1),(120,1),(124,1),(209,1)}
        93:{1,2,5,7}:{(66,1),(67,1),(79,1),(115,1),(120,1),(121,1),(161,1)}
        94:{1,3,5}:{(67,1),(72,1),(80,1),(116,1),(122,1),(132,1)}
        95:{1,5,6}:{(68,1),(69,1),(81,1)}
        96:{2,5,6}:{(68,1),(70,1),(82,1)}
        97:{1,2,4,6}:{(69,1),(70,1),(71,1),(73,1),(120,1),(123,1),(124,1),(126,1),(137,1),(166,1),(167,1),(173,1),(198,1),(209,1)}
        98:{3,5,7}:{(71,1),(72,1),(84,1),(124,1),(125,1),(168,1),(170,1),(191,1)}
        99:{3,4}:{(72,1),(75,1),(122,1)}
       100:{2,3,6}:{(73,1),(74,1),(124,1),(126,1),(209,1)}
       101:{2,4,7}:{(74,1),(75,1),(125,1),(126,1),(207,1)}
       102:{3,4,7}:{(76,1),(117,1),(127,1),(128,1),(170,1)}
       103:{1,5,7}:{(76,1),(77,1),(118,1),(127,1)}
       104:{2,3,5,7}:{(76,1),(78,1),(82,1),(119,1),(128,1),(129,1),(133,1),(170,1)}
       105:{1,2,6,7}:{(77,1),(78,1),(79,1),(120,1),(129,1),(130,1),(209,1)}
       106:{1,3,7}:{(79,1),(80,1),(84,1),(131,1)}
       107:{1,4,6}:{(80,1),(85,1),(122,1),(131,1),(132,1),(173,1)}
       108:{1,2,5,7}:{(81,1),(82,1),(83,1),(123,1),(133,1),(136,1),(172,1)}
       109:{3,6,7}:{(83,1),(84,1),(124,1),(133,1),(170,1)}
       110:{3,4,7}:{(84,1),(85,1),(87,1),(131,1),(135,1)}
       111:{3,5}:{(85,1),(88,1),(132,1)}
       112:{2,4,6,7}:{(86,1),(87,1),(126,1),(134,1),(136,1),(137,1),(196,1),(209,1)}
       113:{2,4,5,7}:{(87,1),(88,1),(135,1),(136,1),(137,1),(174,1)}
       114:{2,3,4,6}:{(89,1),(92,1),(139,1),(140,1),(143,1),(148,1),(180,1),(201,1),(202,1)}
       115:{1,2,4,7}:{(89,1),(90,1),(93,1),(140,1),(141,1),(146,1)}
       116:{1,3}:{(90,1)}
       117:{3,4,6}:{(91,1),(102,1),(138,1),(142,1),(143,1),(180,1)}
       118:{1,5,6}:{(91,1),(103,1),(142,1)}
       119:{2,3,5,6}:{(91,1),(92,1),(96,1),(104,1),(139,1),(143,1),(144,1),(147,1),(180,1)}
       120:{1,2,6}:{(92,1),(93,1),(145,1)}
       121:{1,3,5,7}:{(93,1),(94,1),(98,1),(106,1),(141,1),(145,1),(146,1),(154,1),(178,1),(182,1)}
       122:{1,4}:{(94,1),(99,1)}
       123:{1,2,5,6}:{(95,1),(96,1),(97,1),(108,1),(147,1),(149,1),(158,1),(182,1),(187,1)}
       124:{3,6}:{(97,1),(98,1)}
       125:{3,4,7}:{(98,1),(99,1),(101,1),(146,1),(148,1),(155,1),(201,1)}
       126:{2,4,6}:{(100,1),(101,1),(148,1),(149,1)}
       127:{1,4,7}:{(102,1),(103,1),(142,1),(150,1)}
       128:{2,4,7}:{(102,1),(104,1),(143,1),(155,1)}
       129:{1,2,5,7}:{(103,1),(104,1),(105,1),(144,1),(151,1),(152,1),(204,1)}
       130:{1,3,6,7}:{(105,1),(106,1),(109,1),(145,1),(152,1),(153,1),(205,1)}
       131:{1,4,7}:{(106,1),(107,1),(110,1),(154,1)}
       132:{1,5}:{(107,1),(111,1)}
       133:{3,5,7}:{(108,1),(109,1),(147,1),(155,1)}
       134:{3,4,6,7}:{(109,1),(110,1),(112,1),(148,1),(153,1),(155,1),(156,1),(157,1),(185,1),(188,1),(205,1)}
       135:{3,5,7}:{(110,1),(111,1),(113,1),(154,1),(157,1)}
       136:{2,5,7}:{(112,1),(149,1),(156,1),(158,1)}
       137:{2,4,6}:{(113,1),(157,1),(158,1),(188,1)}
       138:{3,4,5}:{(117,1),(159,1),(160,1),(191,1)}
       139:{2,3,5}:{(114,1),(160,1),(161,1),(168,1),(191,1),(208,1)}
       140:{1,2,4,6}:{(114,1),(115,1),(120,1),(161,1),(162,1),(166,1),(192,1)}
       141:{1,3,7}:{(115,1),(116,1),(162,1),(170,1)}
       142:{1,4,6}:{(117,1),(118,1),(127,1),(159,1),(163,1)}
       143:{2,4,6}:{(117,1),(119,1),(128,1),(160,1),(167,1)}
       144:{1,2,5,6}:{(118,1),(119,1),(120,1),(129,1),(161,1),(164,1),(165,1),(208,1),(209,1)}
       145:{1,3,6}:{(120,1),(121,1),(124,1),(166,1),(173,1)}
       146:{1,4,7}:{(121,1),(122,1),(125,1),(166,1),(192,1)}
       147:{3,5,6}:{(123,1),(124,1),(133,1),(167,1),(168,1)}
       148:{3,4,6}:{(124,1),(125,1),(126,1),(166,1),(167,1),(168,1)}
       149:{2,5}:{(126,1),(168,1)}
       150:{1,3,7}:{(127,1),(163,1),(169,1),(170,1)}
       151:{1,2,4,7}:{(127,1),(128,1),(129,1),(164,1),(169,1),(170,1),(171,1),(196,1)}
       152:{1,3,5,7}:{(129,1),(130,1),(133,1),(165,1),(170,1),(171,1),(172,1),(197,1)}
       153:{1,4,6,7}:{(130,1),(131,1),(134,1),(166,1),(171,1),(172,1),(173,1),(198,1)}
       154:{1,5,7}:{(131,1),(132,1),(135,1),(173,1)}
       155:{4,7}:{(133,1),(167,1)}
       156:{3,5,7}:{(134,1),(136,1),(168,1),(172,1),(174,1),(175,1)}
       157:{3,6}:{(135,1),(137,1),(173,1)}
       158:{2,5,6}:{(136,1),(137,1),(175,1),(209,1)}
       159:{1,4,5}:{(138,1),(142,1),(176,1)}
       160:{2,4,5}:{(138,1),(139,1),(143,1),(183,1)}
       161:{1,2,5}:{(139,1),(140,1),(178,1),(182,1)}
       162:{1,3,6}:{(140,1),(141,1),(178,1),(180,1)}
       163:{1,3,6}:{(142,1),(150,1),(176,1),(179,1),(180,1)}
       164:{1,2,4,6}:{(142,1),(143,1),(144,1),(151,1),(177,1),(179,1),(180,1),(181,1),(202,1)}
       165:{1,3,5,6}:{(144,1),(145,1),(147,1),(152,1),(178,1),(180,1),(181,1),(182,1),(187,1),(203,1),(205,1)}
       166:{1,4,6}:{(145,1),(146,1),(148,1),(182,1)}
       167:{4,6}:{(147,1),(155,1),(183,1)}
       168:{3,5}:{(148,1),(149,1),(182,1),(183,1)}
       169:{1,2,7}:{(150,1),(179,1),(184,1)}
       170:{3,7}:{(151,1),(180,1)}
       171:{1,4,7}:{(152,1),(155,1),(181,1),(185,1)}
       172:{1,5,7}:{(153,1),(156,1),(182,1),(187,1)}
       173:{1,6}:{(154,1),(157,1)}
       174:{4,5,7}:{(155,1),(156,1),(183,1),(188,1)}
       175:{3,5,6}:{(156,1),(157,1),(158,1),(187,1),(188,1),(205,1)}
       176:{1,3,5}:{(159,1),(163,1),(189,1),(190,1),(191,1)}
       177:{1,2,4,5}:{(159,1),(160,1),(161,1),(164,1),(190,1),(191,1),(192,1),(195,1),(207,1),(208,1)}
       178:{1,3,5}:{(161,1),(162,1),(191,1),(192,1)}
       179:{1,2,6}:{(163,1),(169,1),(190,1),(193,1)}
       180:{3,6}:{(164,1),(170,1),(191,1)}
       181:{1,4,6}:{(165,1),(167,1),(171,1),(192,1),(194,1),(195,1)}
       182:{1,5}:{(166,1),(168,1)}
       183:{4,5}:{(167,1),(168,1)}
       184:{2,3,7}:{(169,1),(170,1),(193,1),(196,1)}
       185:{3,4,7}:{(170,1),(171,1),(194,1),(196,1),(197,1)}
       186:{1,4,5,7}:{(171,1),(172,1),(174,1),(195,1),(197,1),(198,1)}
       187:{1,5,6}:{(172,1),(173,1),(175,1),(198,1)}
       188:{4,6}:{(174,1),(175,1)}
       189:{1,3,4}:{(176,1),(199,1),(201,1)}
       190:{1,2,5}:{(176,1),(179,1),(199,1),(200,1)}
       191:{3,5}:{(177,1),(180,1),(201,1)}
       192:{1,4}:{(178,1),(201,1)}
       193:{2,3,6}:{(179,1),(180,1),(184,1),(200,1),(202,1)}
       194:{3,4,6}:{(180,1),(181,1),(185,1),(201,1),(202,1),(203,1),(205,1)}
       195:{1,4,5}:{(181,1),(182,1),(183,1),(203,1)}
       196:{2,4,7}:{(184,1),(185,1),(202,1),(204,1)}
       197:{3,5,7}:{(185,1),(186,1),(203,1),(204,1),(205,1)}
       198:{1,4,6}:{(186,1),(187,1),(188,1),(205,1)}
       199:{1,2,4}:{(189,1),(190,1),(206,1),(207,1)}
       200:{2,3,5}:{(190,1),(191,1),(193,1),(206,1),(207,1),(208,1)}
       201:{3,4}:{(191,1),(192,1),(207,1)}
       202:{2,4,6}:{(193,1),(194,1),(196,1),(207,1),(208,1),(209,1)}
       203:{3,5}:{(194,1),(195,1),(208,1)}
       204:{2,5,7}:{(196,1),(197,1),(208,1),(209,1)}
       205:{3,6}:{(197,1),(198,1),(209,1)}
       206:{2,3}:{(199,1)}
       207:{2,4}:{(200,1),(201,1)}
       208:{2,5}:{(202,1),(203,1)}
       209:{2,6}:{(204,1),(205,1)}

 698 :   0:{2,4,5,6}:{(3,1),(4,1),(26,1),(32,1),(83,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(26,1),(37,1),(72,1),(86,1),(120,1),(137,1)}
         2:{2,5,6,7}:{(9,1),(11,1),(91,1),(95,1)}
         3:{2,4,5,7}:{(0,1),(11,1),(12,1),(43,1),(46,1),(95,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(13,1)}
         5:{3,4,5}:{(10,1),(16,1),(17,1),(60,1)}
         6:{2,3,5}:{(1,1),(17,1),(19,1),(60,1),(144,1),(159,1)}
         7:{2,3,4,7}:{(1,1),(18,1),(20,1),(46,1),(97,1),(113,1),(143,1),(184,1)}
         8:{1,2,4,6}:{(1,1),(19,1),(20,1),(21,1),(61,1),(63,1),(114,1)}
         9:{3,5,6,7}:{(2,1),(22,1),(23,1),(27,1),(65,1),(68,1)}
        10:{3,4,6}:{(4,1),(5,1),(24,1),(25,1),(26,1),(72,1)}
        11:{2,4,6,7}:{(2,1),(3,1),(23,1),(27,1)}
        12:{3,5,7}:{(3,1),(4,1),(24,1),(27,1),(28,1)}
        13:{1,5,6}:{(4,1),(25,1),(28,1)}
        14:{2,3,5,6}:{(4,1),(6,1),(26,1),(29,1),(30,1),(37,1),(72,1),(83,1),(136,1)}
        15:{3,4,5,7}:{(5,1),(24,1),(33,1),(34,1),(35,1),(68,1),(85,1),(115,1),(127,1),(165,1),(176,1)}
        16:{1,4,5}:{(5,1),(25,1),(31,1)}
        17:{2,4,5}:{(5,1),(6,1),(26,1),(176,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(35,1),(37,1),(38,1),(85,1),(160,1),(164,1),(169,1)}
        19:{1,2,5}:{(6,1),(8,1),(39,1),(138,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(38,1),(40,1),(88,1),(196,1)}
        21:{1,3,6}:{(8,1),(39,1),(40,1),(72,1)}
        22:{1,5,6,7}:{(9,1),(41,1),(48,1),(94,1)}
        23:{4,6,7}:{(9,1),(43,1)}
        24:{3,4,7}:{(10,1),(12,1),(45,1),(46,1),(97,1)}
        25:{1,4,6}:{(10,1),(13,1),(16,1),(42,1),(45,1)}
        26:{2,4,6}:{(10,1),(14,1),(17,1),(46,1),(158,1)}
        27:{3,6,7}:{(11,1),(12,1),(48,1)}
        28:{1,5,7}:{(12,1),(13,1),(45,1),(48,1)}
        29:{2,3,5,7}:{(12,1),(14,1),(46,1),(49,1),(50,1),(95,1),(97,1),(145,1)}
        30:{1,2,5,6}:{(13,1),(14,1),(19,1),(47,1),(50,1),(51,1),(61,1),(144,1),(181,1)}
        31:{1,3,5}:{(16,1),(42,1),(52,1),(55,1),(60,1)}
        32:{4,5,6}:{(43,1),(56,1),(158,1)}
        33:{3,4,6}:{(15,1),(56,1),(57,1),(58,1),(112,1),(158,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(45,1),(54,1),(57,1),(94,1),(139,1),(150,1)}
        35:{2,4,5,7}:{(15,1),(17,1),(18,1),(46,1),(58,1),(95,1),(140,1),(151,1)}
        36:{1,2,4,5}:{(16,1),(17,1),(19,1),(47,1),(55,1),(60,1),(63,1),(101,1),(110,1),(144,1)}
        37:{2,3,6}:{(18,1),(58,1),(61,1),(112,1),(181,1)}
        38:{1,2,5,7}:{(18,1),(19,1),(20,1),(61,1),(62,1),(177,1),(185,1)}
        39:{1,3,5}:{(19,1),(21,1),(60,1),(63,1)}
        40:{1,3,7}:{(20,1),(21,1),(97,1),(204,1)}
        41:{1,4,6,7}:{(22,1),(23,1),(64,1),(65,1)}
        42:{1,3,6}:{(25,1),(31,1),(66,1),(67,1),(72,1)}
        43:{4,5,7}:{(23,1),(32,1),(68,1),(165,1)}
        44:{3,4,6,7}:{(23,1),(24,1),(27,1),(33,1),(65,1),(68,1),(69,1),(70,1),(115,1),(122,1),(165,1)}
        45:{1,4,7}:{(24,1),(25,1),(28,1),(66,1)}
        46:{2,4,7}:{(24,1),(26,1),(29,1),(165,1)}
        47:{1,2,4,6}:{(25,1),(26,1),(30,1),(36,1),(67,1),(71,1),(72,1),(75,1),(120,1)}
        48:{1,6,7}:{(27,1),(28,1)}
        49:{2,3,6,7}:{(27,1),(29,1),(37,1),(70,1),(73,1),(122,1),(160,1)}
        50:{1,2,5,7}:{(28,1),(29,1),(30,1),(71,1),(73,1),(74,1),(164,1)}
        51:{1,3,5,6}:{(30,1),(39,1),(72,1),(74,1),(75,1),(87,1),(124,1),(136,1),(138,1),(167,1),(168,1)}
        52:{1,3,4}:{(31,1),(77,1),(86,1)}
        53:{1,4,5,6}:{(32,1),(64,1),(78,1),(82,1),(131,1)}
        54:{1,3,5,7}:{(31,1),(34,1),(66,1),(76,1),(79,1),(80,1),(85,1),(128,1),(207,1)}
        55:{1,2,5}:{(31,1),(67,1),(77,1),(81,1)}
        56:{3,5,6}:{(32,1),(33,1),(68,1),(82,1),(83,1)}
        57:{1,4,6}:{(33,1),(34,1),(79,1),(82,1)}
        58:{2,4,6}:{(33,1),(35,1),(37,1),(83,1)}
        59:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(38,1),(71,1),(80,1),(84,1),(85,1),(88,1),(121,1),(126,1),(135,1),(138,1),(161,1),(164,1),(165,1),(170,1),(175,1),(176,1),(193,1),(207,1)}
        60:{3,5}:{(36,1),(72,1),(86,1)}
        61:{1,2,6}:{(37,1),(38,1),(87,1)}
        62:{1,3,5,7}:{(38,1),(39,1),(40,1),(85,1),(87,1),(88,1),(138,1),(191,1),(197,1),(207,1)}
        63:{1,4}:{(39,1),(86,1)}
        64:{1,4,5,7}:{(41,1),(43,1),(53,1),(89,1),(94,1),(139,1)}
        65:{3,6,7}:{(41,1),(89,1),(91,1)}
        66:{1,3,7}:{(42,1),(45,1),(92,1),(97,1)}
        67:{1,2,6}:{(42,1),(55,1),(92,1),(93,1)}
        68:{3,5,7}:{(43,1),(44,1),(56,1),(94,1),(95,1)}
        69:{1,4,6,7}:{(44,1),(45,1),(48,1),(57,1),(90,1),(94,1),(139,1)}
        70:{2,4,6,7}:{(44,1),(46,1),(49,1),(58,1),(91,1),(95,1),(140,1)}
        71:{1,2,4,7}:{(45,1),(46,1),(47,1),(50,1),(92,1),(97,1),(100,1),(143,1)}
        72:{3,6}:{(47,1),(60,1),(97,1)}
        73:{1,2,6,7}:{(48,1),(49,1),(50,1),(61,1),(99,1),(177,1),(181,1)}
        74:{1,3,5,7}:{(50,1),(51,1),(97,1),(99,1),(100,1),(145,1),(147,1),(148,1)}
        75:{1,4,6}:{(51,1),(63,1),(98,1),(100,1),(101,1),(158,1)}
        76:{1,3,4,7}:{(52,1),(54,1),(102,1),(103,1),(113,1),(139,1),(178,1),(201,1)}
        77:{1,2,4}:{(52,1),(55,1),(104,1),(110,1)}
        78:{3,5,6}:{(53,1),(89,1),(105,1),(107,1)}
        79:{1,3,6}:{(54,1),(57,1),(108,1),(112,1),(209,1)}
        80:{1,2,5,7}:{(54,1),(55,1),(92,1),(103,1),(108,1),(109,1),(152,1)}
        81:{2,3,5}:{(55,1),(60,1),(93,1),(104,1),(110,1),(144,1)}
        82:{1,5,6}:{(56,1),(57,1),(94,1)}
        83:{2,5,6}:{(56,1),(58,1),(95,1)}
        84:{1,2,4,6}:{(57,1),(58,1),(59,1),(61,1),(108,1),(111,1),(112,1),(114,1),(149,1),(157,1),(158,1),(181,1),(203,1),(209,1)}
        85:{3,5,7}:{(59,1),(60,1),(97,1),(112,1),(113,1),(159,1),(178,1),(186,1)}
        86:{3,4}:{(60,1),(63,1),(110,1)}
        87:{1,3,6}:{(61,1),(62,1),(112,1),(114,1),(209,1)}
        88:{1,4,7}:{(62,1),(63,1),(113,1),(114,1),(205,1)}
        89:{3,5,7}:{(64,1),(65,1),(78,1),(115,1),(117,1)}
        90:{1,3,6,7}:{(65,1),(66,1),(69,1),(79,1),(116,1),(118,1),(122,1)}
        91:{2,6,7}:{(65,1),(117,1)}
        92:{1,2,7}:{(66,1),(67,1),(119,1)}
        93:{2,3,6}:{(67,1),(72,1),(81,1),(119,1),(120,1)}
        94:{1,5,7}:{(68,1),(69,1),(82,1)}
        95:{2,5,7}:{(68,1),(70,1),(83,1)}
        96:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(73,1),(84,1),(118,1),(121,1),(122,1),(125,1),(161,1),(163,1),(165,1)}
        97:{3,7}:{(71,1),(72,1)}
        98:{3,4,6}:{(72,1),(75,1),(86,1),(120,1),(123,1),(124,1),(167,1)}
        99:{1,3,6,7}:{(73,1),(74,1),(87,1),(122,1),(125,1),(167,1),(191,1)}
       100:{1,4,7}:{(74,1),(75,1),(123,1),(165,1)}
       101:{1,4,5}:{(75,1),(124,1),(138,1),(176,1)}
       102:{1,3,4,6}:{(76,1),(79,1),(128,1),(129,1),(131,1),(137,1),(173,1),(198,1),(199,1)}
       103:{1,2,4,7}:{(76,1),(77,1),(80,1),(129,1),(130,1),(135,1)}
       104:{2,3}:{(77,1)}
       105:{3,4,6}:{(78,1),(115,1),(127,1),(131,1),(132,1),(173,1)}
       106:{1,3,5,6}:{(78,1),(79,1),(82,1),(116,1),(128,1),(131,1),(133,1),(136,1),(173,1)}
       107:{2,5,6}:{(78,1),(117,1),(132,1)}
       108:{1,2,6}:{(79,1),(80,1),(134,1)}
       109:{2,3,5,7}:{(80,1),(81,1),(85,1),(119,1),(130,1),(134,1),(135,1),(164,1),(171,1),(175,1)}
       110:{2,4}:{(81,1),(86,1)}
       111:{1,2,5,6}:{(82,1),(83,1),(84,1),(121,1),(136,1),(138,1),(168,1),(175,1),(194,1)}
       112:{3,6}:{(84,1),(85,1)}
       113:{3,4,7}:{(85,1),(86,1),(88,1),(135,1),(137,1),(165,1),(198,1)}
       114:{1,4,6}:{(87,1),(88,1),(137,1),(138,1)}
       115:{3,4,7}:{(89,1),(105,1),(139,1),(140,1),(178,1)}
       116:{1,3,5,7}:{(89,1),(90,1),(94,1),(106,1),(139,1),(141,1),(145,1),(178,1)}
       117:{2,5,7}:{(89,1),(91,1),(107,1),(140,1)}
       118:{1,2,6,7}:{(90,1),(91,1),(92,1),(108,1),(141,1),(142,1),(209,1)}
       119:{2,3,7}:{(92,1),(93,1),(97,1),(143,1)}
       120:{2,4,6}:{(93,1),(98,1),(110,1),(143,1),(144,1),(181,1)}
       121:{1,2,5,7}:{(94,1),(95,1),(96,1),(111,1),(145,1),(148,1),(180,1)}
       122:{3,6,7}:{(96,1),(97,1),(112,1),(145,1),(178,1)}
       123:{3,4,7}:{(97,1),(98,1),(100,1),(143,1),(147,1)}
       124:{3,5}:{(98,1),(101,1),(144,1)}
       125:{1,4,6,7}:{(99,1),(100,1),(114,1),(146,1),(148,1),(149,1),(201,1),(209,1)}
       126:{1,4,5,7}:{(100,1),(101,1),(147,1),(148,1),(149,1),(182,1)}
       127:{3,4,5}:{(105,1),(150,1),(151,1),(186,1)}
       128:{1,3,5}:{(102,1),(150,1),(152,1),(159,1),(186,1),(206,1)}
       129:{1,2,4,6}:{(102,1),(103,1),(108,1),(152,1),(153,1),(157,1),(187,1)}
       130:{2,3,7}:{(103,1),(104,1),(153,1),(178,1)}
       131:{1,4,6}:{(105,1),(106,1),(139,1),(150,1),(158,1)}
       132:{2,4,6}:{(105,1),(107,1),(140,1),(151,1),(154,1)}
       133:{1,2,5,6}:{(106,1),(107,1),(108,1),(141,1),(152,1),(155,1),(156,1),(206,1),(209,1)}
       134:{2,3,6}:{(108,1),(109,1),(112,1),(157,1),(181,1)}
       135:{2,4,7}:{(109,1),(110,1),(113,1),(157,1),(187,1)}
       136:{3,5,6}:{(111,1),(112,1),(145,1),(158,1),(159,1)}
       137:{3,4,6}:{(112,1),(113,1),(114,1),(157,1),(158,1),(159,1)}
       138:{1,5}:{(114,1),(159,1)}
       139:{1,4,7}:{(115,1),(116,1),(131,1),(165,1)}
       140:{2,4,7}:{(115,1),(117,1),(132,1),(160,1)}
       141:{1,2,5,7}:{(116,1),(117,1),(118,1),(133,1),(161,1),(162,1),(207,1)}
       142:{2,3,6,7}:{(118,1),(119,1),(122,1),(134,1),(162,1),(163,1),(208,1)}
       143:{2,4,7}:{(119,1),(120,1),(123,1),(164,1)}
       144:{2,5}:{(120,1),(124,1)}
       145:{3,5,7}:{(121,1),(122,1),(136,1),(165,1)}
       146:{3,4,6,7}:{(122,1),(123,1),(125,1),(137,1),(163,1),(165,1),(166,1),(167,1),(192,1),(195,1),(208,1)}
       147:{3,5,7}:{(123,1),(124,1),(126,1),(164,1),(167,1)}
       148:{1,5,7}:{(125,1),(138,1),(166,1),(168,1)}
       149:{1,4,6}:{(126,1),(167,1),(168,1),(195,1)}
       150:{1,4,5}:{(127,1),(128,1),(131,1),(176,1)}
       151:{2,4,5}:{(127,1),(132,1),(169,1)}
       152:{1,2,5}:{(128,1),(129,1),(171,1),(175,1)}
       153:{2,3,6}:{(129,1),(130,1),(171,1),(173,1)}
       154:{2,3,6}:{(132,1),(160,1),(169,1),(172,1),(173,1)}
       155:{1,2,4,6}:{(131,1),(132,1),(133,1),(161,1),(170,1),(172,1),(173,1),(174,1),(199,1)}
       156:{2,3,5,6}:{(133,1),(134,1),(136,1),(162,1),(171,1),(173,1),(174,1),(175,1),(194,1),(200,1),(208,1)}
       157:{2,4,6}:{(134,1),(135,1),(137,1),(175,1)}
       158:{4,6}:{(136,1),(165,1),(176,1)}
       159:{3,5}:{(137,1),(138,1),(175,1),(176,1)}
       160:{2,3,7}:{(140,1),(154,1),(177,1),(178,1)}
       161:{1,2,4,7}:{(139,1),(140,1),(141,1),(155,1),(177,1),(178,1),(179,1),(201,1)}
       162:{2,3,5,7}:{(141,1),(142,1),(145,1),(156,1),(178,1),(179,1),(180,1),(202,1)}
       163:{2,4,6,7}:{(142,1),(143,1),(146,1),(157,1),(179,1),(180,1),(181,1),(203,1)}
       164:{2,5,7}:{(143,1),(144,1),(147,1),(181,1)}
       165:{4,7}:{(145,1),(158,1)}
       166:{3,5,7}:{(146,1),(148,1),(159,1),(180,1),(182,1),(183,1)}
       167:{3,6}:{(147,1),(149,1),(181,1)}
       168:{1,5,6}:{(148,1),(149,1),(183,1),(209,1)}
       169:{2,3,5}:{(151,1),(154,1),(184,1),(185,1),(186,1)}
       170:{1,2,4,5}:{(150,1),(151,1),(152,1),(155,1),(185,1),(186,1),(187,1),(190,1),(205,1),(206,1)}
       171:{2,3,5}:{(152,1),(153,1),(186,1),(187,1)}
       172:{1,2,6}:{(154,1),(177,1),(185,1),(188,1)}
       173:{3,6}:{(155,1),(178,1),(186,1)}
       174:{2,4,6}:{(156,1),(158,1),(179,1),(187,1),(189,1),(190,1)}
       175:{2,5}:{(157,1),(159,1)}
       176:{4,5}:{(158,1),(159,1)}
       177:{1,2,7}:{(160,1),(172,1),(191,1)}
       178:{3,7}:{(161,1),(173,1)}
       179:{2,4,7}:{(162,1),(165,1),(174,1),(192,1)}
       180:{2,5,7}:{(163,1),(166,1),(175,1),(194,1)}
       181:{2,6}:{(164,1),(167,1)}
       182:{4,5,7}:{(165,1),(166,1),(176,1),(195,1)}
       183:{3,5,6}:{(166,1),(167,1),(168,1),(194,1),(195,1),(208,1)}
       184:{2,3,4}:{(169,1),(196,1),(198,1)}
       185:{1,2,5}:{(169,1),(172,1),(196,1),(197,1)}
       186:{3,5}:{(170,1),(173,1),(198,1)}
       187:{2,4}:{(171,1),(198,1)}
       188:{1,3,6}:{(172,1),(173,1),(191,1),(197,1),(199,1)}
       189:{3,4,6}:{(173,1),(174,1),(192,1),(198,1),(199,1),(200,1),(208,1)}
       190:{2,4,5}:{(174,1),(175,1),(176,1),(200,1)}
       191:{1,3,7}:{(177,1),(178,1),(188,1),(201,1)}
       192:{3,4,7}:{(178,1),(179,1),(189,1),(201,1),(202,1)}
       193:{2,4,5,7}:{(179,1),(180,1),(182,1),(190,1),(202,1),(203,1)}
       194:{2,5,6}:{(180,1),(181,1),(183,1),(203,1)}
       195:{4,6}:{(182,1),(183,1)}
       196:{1,2,4}:{(184,1),(185,1),(204,1),(205,1)}
       197:{1,3,5}:{(185,1),(186,1),(188,1),(204,1),(205,1),(206,1)}
       198:{3,4}:{(186,1),(187,1),(205,1)}
       199:{1,4,6}:{(188,1),(189,1),(201,1),(205,1),(206,1),(209,1)}
       200:{3,5}:{(189,1),(190,1),(206,1)}
       201:{1,4,7}:{(191,1),(192,1),(199,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(200,1),(207,1),(208,1)}
       203:{2,4,6}:{(193,1),(194,1),(195,1),(208,1)}
       204:{1,3}:{(196,1)}
       205:{1,4}:{(197,1),(198,1)}
       206:{1,5}:{(199,1),(200,1)}
       207:{1,5,7}:{(201,1),(202,1),(206,1),(209,1)}
       208:{3,6}:{(202,1),(203,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

 699 :   0:{3,4,5,6}:{(1,1),(2,1),(3,1),(17,1),(151,1),(163,1),(205,1)}
         1:{1,4,5,6}:{(0,1),(4,1),(7,1),(169,1),(212,1)}
         2:{2,4,5,6}:{(0,1),(5,1),(8,1),(175,1),(215,1)}
         3:{3,4,5,7}:{(0,1),(7,1),(8,1),(9,1),(35,1),(132,1)}
         4:{1,3,5,6}:{(1,1),(11,1),(13,1),(14,1),(17,1),(139,1),(197,1)}
         5:{2,3,5,6}:{(2,1),(12,1),(15,1),(16,1),(17,1),(145,1),(202,1)}
         6:{1,2,4,5,6}:{(1,1),(2,1),(13,1),(15,1),(17,1),(18,1),(47,1),(50,1),(91,1),(156,1),(159,1),(161,1),(163,1)}
         7:{1,4,5,7}:{(1,1),(3,1),(14,1),(19,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(16,1),(20,1)}
         9:{3,4,6,7}:{(3,1),(19,1),(20,1),(21,1),(55,1),(103,1),(205,1)}
        10:{2,3,4,5}:{(12,1),(22,1),(53,1),(104,1),(145,1)}
        11:{1,3,4,6}:{(4,1),(23,1),(24,1),(25,1),(34,1)}
        12:{2,3,4,6}:{(5,1),(10,1),(26,1),(27,1),(34,1)}
        13:{1,2,5,6}:{(4,1),(24,1),(28,1),(29,1),(110,1),(173,1)}
        14:{1,3,5,7}:{(4,1),(7,1),(25,1),(29,1),(30,1),(35,1)}
        15:{1,2,5,6}:{(5,1),(26,1),(31,1),(32,1),(115,1),(179,1)}
        16:{2,3,5,7}:{(5,1),(8,1),(27,1),(32,1),(33,1),(35,1)}
        17:{3,5,6}:{(6,1),(34,1),(35,1),(119,1),(184,1)}
        18:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(29,1),(32,1),(35,1),(36,1),(69,1),(72,1),(126,1),(129,1),(132,1)}
        19:{1,4,6,7}:{(7,1),(9,1),(30,1),(37,1),(212,1)}
        20:{2,4,6,7}:{(8,1),(9,1),(33,1),(38,1),(215,1)}
        21:{3,5,6,7}:{(9,1),(37,1),(38,1),(39,1),(218,1)}
        22:{1,2,4,5}:{(10,1),(26,1),(40,1),(71,1),(78,1),(115,1)}
        23:{1,3,4,5}:{(11,1),(41,1),(53,1),(136,1),(139,1)}
        24:{1,2,4,6}:{(11,1),(13,1),(41,1),(42,1),(43,1),(47,1)}
        25:{1,3,4,7}:{(11,1),(14,1),(43,1),(54,1)}
        26:{1,2,4,6}:{(12,1),(15,1),(22,1),(44,1),(45,1),(50,1)}
        27:{2,3,4,7}:{(12,1),(16,1),(45,1),(54,1)}
        28:{2,3,5,6}:{(13,1),(17,1),(42,1),(47,1),(48,1),(84,1),(144,1),(159,1)}
        29:{1,2,5,7}:{(13,1),(14,1),(43,1),(48,1),(49,1)}
        30:{1,3,6,7}:{(14,1),(19,1),(49,1),(55,1),(197,1)}
        31:{1,3,5,6}:{(15,1),(17,1),(44,1),(50,1),(51,1),(88,1),(150,1),(161,1)}
        32:{1,2,5,7}:{(15,1),(16,1),(45,1),(51,1),(52,1)}
        33:{2,3,6,7}:{(16,1),(20,1),(52,1),(55,1),(202,1)}
        34:{3,4,6}:{(17,1),(47,1),(50,1),(53,1),(54,1)}
        35:{3,5,7}:{(17,1),(18,1),(54,1),(55,1)}
        36:{1,2,4,6,7}:{(18,1),(19,1),(20,1),(49,1),(52,1),(55,1),(56,1),(96,1),(99,1),(103,1),(156,1)}
        37:{1,5,6,7}:{(19,1),(21,1),(222,1)}
        38:{2,5,6,7}:{(20,1),(21,1),(224,1)}
        39:{4,5,6,7}:{(21,1),(103,1),(226,1)}
        40:{1,3,5}:{(22,1),(44,1),(58,1)}
        41:{1,2,4,5}:{(23,1),(24,1),(59,1),(68,1),(107,1),(110,1)}
        42:{2,3,6}:{(24,1),(59,1),(62,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(29,1),(62,1),(69,1)}
        44:{1,3,6}:{(26,1),(40,1),(65,1)}
        45:{1,2,4,7}:{(26,1),(27,1),(32,1),(65,1),(72,1)}
        46:{1,2,3,5,6}:{(28,1),(31,1),(60,1),(63,1),(66,1),(67,1),(110,1),(115,1),(119,1),(170,1),(173,1),(176,1),(179,1),(184,1),(187,1)}
        47:{2,4,6}:{(28,1),(34,1),(68,1),(69,1)}
        48:{2,3,5,7}:{(28,1),(29,1),(35,1),(62,1),(69,1),(70,1),(126,1)}
        49:{1,2,6,7}:{(29,1),(30,1),(70,1),(173,1)}
        50:{1,4,6}:{(31,1),(34,1),(71,1),(72,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(35,1),(65,1),(72,1),(73,1),(129,1)}
        52:{1,2,6,7}:{(32,1),(33,1),(73,1),(179,1)}
        53:{3,4,5}:{(34,1),(68,1),(71,1),(119,1)}
        54:{3,4,7}:{(34,1),(35,1),(69,1),(72,1)}
        55:{3,6,7}:{(35,1),(36,1),(184,1)}
        56:{1,2,5,6,7}:{(36,1),(37,1),(38,1),(77,1),(126,1),(129,1),(187,1)}
        57:{1,2,3,5}:{(40,1),(63,1),(78,1),(115,1),(133,1)}
        58:{1,3,4}:{(40,1),(78,1)}
        59:{2,3,5}:{(41,1),(42,1),(81,1)}
        60:{1,2,3,6}:{(42,1),(80,1),(82,1),(83,1),(192,1)}
        61:{2,3,4,6}:{(42,1),(47,1),(81,1),(82,1),(84,1),(85,1),(90,1),(144,1)}
        62:{2,3,7}:{(42,1),(43,1)}
        63:{1,2,3,6}:{(44,1),(57,1),(86,1),(87,1),(164,1)}
        64:{1,3,4,6}:{(44,1),(50,1),(58,1),(86,1),(88,1),(89,1),(90,1),(150,1)}
        65:{1,3,7}:{(44,1),(45,1)}
        66:{1,2,4,6}:{(46,1),(47,1),(50,1),(90,1),(91,1),(92,1),(194,1),(199,1)}
        67:{1,2,3,5,7}:{(46,1),(48,1),(51,1),(83,1),(87,1),(92,1),(93,1),(142,1),(148,1),(153,1),(157,1),(196,1),(201,1)}
        68:{2,4,5}:{(47,1),(53,1),(84,1)}
        69:{2,4,7}:{(47,1),(48,1),(54,1)}
        70:{2,3,6,7}:{(48,1),(49,1),(55,1),(96,1),(144,1)}
        71:{1,4,5}:{(50,1),(53,1),(88,1)}
        72:{1,4,7}:{(50,1),(51,1),(54,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(55,1),(99,1),(150,1)}
        74:{3,4,5,6}:{(53,1),(94,1),(97,1),(100,1),(101,1),(152,1),(226,1)}
        75:{3,4,5,7}:{(53,1),(54,1),(95,1),(98,1),(101,1),(102,1),(153,1),(208,1)}
        76:{3,4,6,7}:{(54,1),(55,1),(96,1),(99,1),(101,1),(102,1),(103,1)}
        77:{3,5,6,7}:{(55,1),(56,1),(102,1),(103,1),(207,1)}
        78:{1,2,4}:{(57,1),(58,1),(104,1)}
        79:{1,3,4,5}:{(58,1),(88,1),(105,1),(106,1),(151,1)}
        80:{1,2,3,5}:{(59,1),(60,1),(107,1),(110,1),(166,1)}
        81:{2,3,4}:{(59,1),(107,1)}
        82:{1,2,4,6}:{(60,1),(61,1),(107,1),(109,1),(110,1),(111,1),(173,1)}
        83:{1,2,3,7}:{(60,1),(62,1),(111,1),(210,1)}
        84:{2,3,5}:{(61,1),(68,1),(110,1),(119,1)}
        85:{2,3,4,7}:{(61,1),(62,1),(69,1),(111,1),(113,1),(120,1)}
        86:{1,2,4,6}:{(63,1),(64,1),(78,1),(114,1),(115,1),(116,1),(179,1)}
        87:{1,2,3,7}:{(63,1),(65,1),(116,1),(191,1)}
        88:{1,3,5}:{(64,1),(71,1),(115,1),(119,1)}
        89:{1,3,4,7}:{(64,1),(65,1),(72,1),(116,1),(118,1),(120,1)}
        90:{3,4,6}:{(66,1),(119,1),(120,1),(184,1)}
        91:{1,2,4,5}:{(66,1),(68,1),(71,1),(110,1),(115,1),(119,1),(169,1),(175,1)}
        92:{1,2,4,7}:{(66,1),(67,1),(69,1),(72,1),(120,1),(211,1),(214,1)}
        93:{1,2,3,6,7}:{(67,1),(70,1),(73,1),(123,1),(173,1),(179,1),(184,1),(213,1),(216,1)}
        94:{2,4,5,6}:{(68,1),(74,1),(112,1),(124,1),(125,1)}
        95:{2,4,5,7}:{(68,1),(69,1),(75,1),(113,1),(125,1),(126,1)}
        96:{2,4,6,7}:{(69,1),(70,1),(76,1),(125,1),(126,1)}
        97:{1,4,5,6}:{(71,1),(74,1),(117,1),(127,1),(128,1)}
        98:{1,4,5,7}:{(71,1),(72,1),(75,1),(118,1),(128,1),(129,1)}
        99:{1,4,6,7}:{(72,1),(73,1),(76,1),(128,1),(129,1)}
       100:{3,4,5,7}:{(74,1),(124,1),(127,1),(130,1),(183,1),(230,1)}
       101:{3,4,6}:{(75,1),(125,1),(128,1),(131,1),(184,1),(220,1)}
       102:{3,5,7}:{(76,1),(126,1),(129,1),(131,1),(132,1)}
       103:{4,6,7}:{(77,1),(132,1),(220,1)}
       104:{2,3,4}:{(78,1),(133,1)}
       105:{1,2,4,5}:{(78,1),(79,1),(115,1),(133,1),(134,1),(175,1)}
       106:{1,3,4,6}:{(79,1),(117,1),(134,1),(135,1),(181,1)}
       107:{1,2,4}:{(80,1),(81,1),(136,1)}
       108:{2,3,4,5}:{(81,1),(84,1),(137,1),(138,1),(151,1)}
       109:{1,3,4,6}:{(82,1),(90,1),(136,1),(139,1),(140,1),(192,1),(194,1),(197,1)}
       110:{1,2,5}:{(82,1),(84,1),(139,1)}
       111:{1,2,4,7}:{(82,1),(83,1),(85,1),(140,1),(142,1)}
       112:{2,3,5,6}:{(84,1),(94,1),(138,1),(141,1),(143,1),(144,1),(152,1)}
       113:{2,3,5,7}:{(84,1),(85,1),(95,1),(142,1),(144,1),(153,1)}
       114:{2,3,4,6}:{(86,1),(90,1),(104,1),(145,1),(146,1),(164,1),(199,1),(202,1)}
       115:{1,2,5}:{(86,1),(88,1),(145,1)}
       116:{1,2,4,7}:{(86,1),(87,1),(89,1),(146,1),(148,1)}
       117:{1,3,5,6}:{(88,1),(97,1),(106,1),(147,1),(149,1),(150,1),(152,1)}
       118:{1,3,5,7}:{(88,1),(89,1),(98,1),(148,1),(150,1),(153,1)}
       119:{3,5}:{(90,1),(91,1)}
       120:{3,4,7}:{(90,1),(92,1),(153,1)}
       121:{1,2,4,5,6}:{(91,1),(94,1),(97,1),(141,1),(147,1),(152,1),(155,1),(156,1),(194,1),(199,1),(222,1),(224,1),(226,1)}
       122:{1,2,4,5,7}:{(91,1),(92,1),(95,1),(98,1),(142,1),(148,1),(153,1),(156,1),(157,1),(195,1),(200,1),(208,1)}
       123:{1,2,4,6,7}:{(92,1),(93,1),(96,1),(99,1),(154,1),(156,1),(157,1),(221,1),(223,1)}
       124:{2,4,5,7}:{(94,1),(100,1),(143,1),(158,1)}
       125:{2,4,6}:{(95,1),(101,1),(144,1),(159,1)}
       126:{2,5,7}:{(96,1),(102,1),(159,1)}
       127:{1,4,5,7}:{(97,1),(100,1),(149,1),(160,1)}
       128:{1,4,6}:{(98,1),(101,1),(150,1),(161,1)}
       129:{1,5,7}:{(99,1),(102,1),(161,1)}
       130:{3,4,6,7}:{(100,1),(101,1),(158,1),(160,1),(162,1),(206,1),(227,1)}
       131:{3,5,6}:{(101,1),(102,1),(159,1),(161,1),(163,1)}
       132:{4,5,7}:{(102,1),(103,1),(163,1)}
       133:{2,3,5}:{(104,1),(105,1),(164,1)}
       134:{1,2,4,6}:{(105,1),(106,1),(147,1),(164,1),(165,1),(199,1)}
       135:{1,3,4,7}:{(106,1),(149,1),(165,1),(204,1)}
       136:{1,3,4}:{(107,1),(166,1)}
       137:{1,2,4,5}:{(107,1),(108,1),(110,1),(166,1),(167,1),(169,1)}
       138:{2,3,4,6}:{(108,1),(112,1),(167,1),(168,1),(181,1)}
       139:{1,3,5}:{(109,1),(110,1),(119,1),(169,1)}
       140:{1,3,4,7}:{(109,1),(111,1),(120,1),(171,1),(210,1),(211,1)}
       141:{1,2,5,6}:{(110,1),(112,1),(167,1),(170,1),(172,1),(173,1)}
       142:{1,2,5,7}:{(110,1),(111,1),(113,1),(171,1),(173,1)}
       143:{2,3,5,7}:{(112,1),(124,1),(168,1),(172,1),(174,1),(183,1)}
       144:{2,3,6}:{(113,1),(125,1),(173,1),(184,1)}
       145:{2,3,5}:{(114,1),(115,1),(119,1),(175,1)}
       146:{2,3,4,7}:{(114,1),(116,1),(120,1),(177,1),(191,1),(214,1)}
       147:{1,2,5,6}:{(115,1),(117,1),(134,1),(176,1),(178,1),(179,1)}
       148:{1,2,5,7}:{(115,1),(116,1),(118,1),(177,1),(179,1)}
       149:{1,3,5,7}:{(117,1),(127,1),(135,1),(178,1),(180,1),(183,1)}
       150:{1,3,6}:{(118,1),(128,1),(179,1),(184,1)}
       151:{3,4,5}:{(119,1),(169,1),(175,1),(181,1)}
       152:{3,5,6}:{(119,1),(121,1),(181,1),(183,1),(184,1)}
       153:{3,5,7}:{(119,1),(120,1),(122,1),(184,1)}
       154:{3,4,6,7}:{(120,1),(123,1),(184,1),(185,1),(220,1)}
       155:{1,2,4,5,7}:{(121,1),(124,1),(127,1),(172,1),(178,1),(183,1),(186,1),(211,1),(214,1),(228,1),(229,1),(230,1)}
       156:{1,2,4,6}:{(122,1),(125,1),(128,1),(173,1),(179,1),(184,1),(187,1),(212,1),(215,1),(220,1)}
       157:{1,2,5,7}:{(123,1),(126,1),(129,1),(185,1),(187,1),(228,1),(229,1)}
       158:{2,4,6,7}:{(124,1),(125,1),(130,1),(174,1),(188,1)}
       159:{2,5,6}:{(125,1),(126,1),(131,1)}
       160:{1,4,6,7}:{(127,1),(128,1),(130,1),(180,1),(189,1)}
       161:{1,5,6}:{(128,1),(129,1),(131,1)}
       162:{3,5,6,7}:{(130,1),(131,1),(188,1),(189,1),(190,1)}
       163:{4,5,6}:{(131,1),(132,1),(220,1)}
       164:{2,3,6}:{(133,1),(134,1),(191,1)}
       165:{1,2,4,7}:{(134,1),(135,1),(178,1),(191,1),(214,1)}
       166:{1,3,5}:{(136,1),(137,1),(192,1)}
       167:{1,2,4,6}:{(137,1),(138,1),(141,1),(192,1),(193,1),(194,1)}
       168:{2,3,4,7}:{(138,1),(143,1),(193,1),(204,1)}
       169:{1,4,5}:{(139,1),(151,1),(194,1)}
       170:{1,3,5,6}:{(139,1),(141,1),(152,1),(192,1),(194,1),(196,1),(197,1),(222,1)}
       171:{1,3,5,7}:{(139,1),(140,1),(142,1),(153,1),(195,1),(197,1)}
       172:{1,2,5,7}:{(141,1),(143,1),(193,1),(196,1),(198,1)}
       173:{1,2,6}:{(142,1),(144,1),(197,1)}
       174:{2,3,6,7}:{(143,1),(144,1),(158,1),(198,1),(206,1)}
       175:{2,4,5}:{(145,1),(151,1),(199,1)}
       176:{2,3,5,6}:{(145,1),(147,1),(152,1),(164,1),(199,1),(201,1),(202,1),(224,1)}
       177:{2,3,5,7}:{(145,1),(146,1),(148,1),(153,1),(200,1),(202,1)}
       178:{1,2,5,7}:{(147,1),(149,1),(165,1),(201,1),(203,1)}
       179:{1,2,6}:{(148,1),(150,1),(202,1)}
       180:{1,3,6,7}:{(149,1),(150,1),(160,1),(203,1),(206,1)}
       181:{3,4,6}:{(151,1),(152,1),(194,1),(199,1),(204,1)}
       182:{3,4,5,7}:{(151,1),(153,1),(195,1),(200,1),(204,1),(205,1),(208,1),(225,1)}
       183:{3,5,7}:{(152,1),(155,1),(204,1),(206,1)}
       184:{3,6}:{(153,1),(156,1)}
       185:{3,5,7}:{(154,1),(157,1),(207,1),(208,1)}
       186:{1,2,4,6,7}:{(155,1),(156,1),(158,1),(160,1),(198,1),(203,1),(206,1),(209,1),(221,1),(223,1),(227,1)}
       187:{1,2,5,6}:{(156,1),(157,1),(159,1),(161,1),(207,1),(222,1),(224,1)}
       188:{2,5,6,7}:{(158,1),(159,1),(162,1)}
       189:{1,5,6,7}:{(160,1),(161,1),(162,1)}
       190:{4,5,6,7}:{(162,1),(163,1),(227,1)}
       191:{2,3,7}:{(164,1),(165,1)}
       192:{1,3,6}:{(166,1),(167,1),(210,1)}
       193:{1,2,4,7}:{(167,1),(168,1),(172,1),(210,1),(211,1)}
       194:{1,4,6}:{(169,1),(170,1),(181,1),(211,1)}
       195:{1,4,5,7}:{(169,1),(171,1),(182,1),(211,1),(212,1),(228,1)}
       196:{1,3,5,7}:{(170,1),(172,1),(183,1),(210,1),(211,1),(213,1),(228,1)}
       197:{1,3,6}:{(171,1),(173,1),(184,1),(212,1)}
       198:{1,2,6,7}:{(172,1),(173,1),(174,1),(213,1)}
       199:{2,4,6}:{(175,1),(176,1),(181,1),(214,1)}
       200:{2,4,5,7}:{(175,1),(177,1),(182,1),(214,1),(215,1),(229,1)}
       201:{2,3,5,7}:{(176,1),(178,1),(183,1),(191,1),(214,1),(216,1),(229,1)}
       202:{2,3,6}:{(177,1),(179,1),(184,1),(215,1)}
       203:{1,2,6,7}:{(178,1),(179,1),(180,1),(216,1)}
       204:{3,4,7}:{(181,1),(183,1),(211,1),(214,1)}
       205:{3,4,6}:{(182,1),(184,1),(212,1),(215,1),(218,1),(220,1)}
       206:{3,6,7}:{(183,1),(184,1),(186,1)}
       207:{3,5,6}:{(184,1),(185,1),(187,1),(220,1)}
       208:{4,5,7}:{(185,1),(220,1)}
       209:{1,2,5,6,7}:{(186,1),(187,1),(188,1),(189,1),(219,1),(228,1),(229,1)}
       210:{1,3,7}:{(192,1),(193,1)}
       211:{1,4,7}:{(194,1),(196,1),(204,1)}
       212:{1,4,6}:{(195,1),(197,1),(205,1),(222,1)}
       213:{1,3,6,7}:{(196,1),(197,1),(198,1),(206,1),(221,1)}
       214:{2,4,7}:{(199,1),(201,1),(204,1)}
       215:{2,4,6}:{(200,1),(202,1),(205,1),(224,1)}
       216:{2,3,6,7}:{(201,1),(202,1),(203,1),(206,1),(223,1)}
       217:{3,4,6,7}:{(204,1),(205,1),(206,1),(221,1),(223,1),(225,1),(227,1)}
       218:{3,5,6}:{(205,1),(222,1),(224,1),(225,1),(226,1)}
       219:{3,5,6,7}:{(206,1),(207,1),(209,1),(225,1),(227,1)}
       220:{4,6}:{(207,1),(208,1)}
       221:{1,4,6,7}:{(211,1),(212,1),(213,1),(217,1),(228,1)}
       222:{1,5,6}:{(212,1),(218,1),(228,1)}
       223:{2,4,6,7}:{(214,1),(215,1),(216,1),(217,1),(229,1)}
       224:{2,5,6}:{(215,1),(218,1),(229,1)}
       225:{3,5,7}:{(217,1),(218,1),(228,1),(229,1),(230,1)}
       226:{4,5,6}:{(218,1),(220,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(225,1)}
       229:{2,5,7}:{(223,1),(224,1),(225,1)}
       230:{4,5,7}:{(225,1),(226,1),(227,1)}

 700 :  0:{1,2,6,7}:{(3,1),(5,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(38,1),(39,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(17,1),(23,1),(24,1),(25,1),(38,1),(39,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{3,5,6}:{(1,1),(9,1),(10,1),(12,1),(26,1),(28,1),(45,1)}
        5:{1,2,5,7}:{(0,1),(1,1),(9,1),(11,1),(46,1),(47,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(12,1),(30,1),(31,1),(34,1)}
        7:{3,5}:{(2,1),(12,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(18,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(18,1),(20,1)}
       10:{4,6}:{(4,1),(17,1),(18,1)}
       11:{1,2,4,7}:{(5,1),(6,1),(18,1),(20,1),(40,1),(41,1),(43,1)}
       12:{3,6}:{(6,1),(7,1),(20,1)}
       13:{3,4}:{(7,1),(23,1),(24,1),(44,1)}
       14:{1,3,5}:{(7,1),(21,1),(23,1),(25,1),(38,1),(44,1),(54,1)}
       15:{2,3,5}:{(7,1),(22,1),(24,1),(25,1),(39,1),(44,1),(54,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,5}:{(10,1),(28,1),(58,1)}
       18:{4,7}:{(9,1),(10,1)}
       19:{3,4,6}:{(10,1),(12,1),(13,1),(28,1),(29,1),(30,1),(31,1),(45,1),(50,1),(58,1),(61,1)}
       20:{3,7}:{(11,1),(12,1)}
       21:{1,3,6}:{(12,1),(14,1),(30,1),(32,1),(34,1),(50,1)}
       22:{2,3,6}:{(12,1),(15,1),(31,1),(33,1),(34,1),(50,1)}
       23:{1,4}:{(13,1),(14,1),(58,1)}
       24:{2,4}:{(13,1),(15,1),(58,1)}
       25:{1,2,5}:{(14,1),(15,1),(34,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(18,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,5}:{(17,1),(19,1),(38,1),(39,1),(62,1)}
       29:{3,4,7}:{(18,1),(19,1),(20,1),(37,1),(40,1),(41,1),(55,1),(60,1)}
       30:{1,4,6}:{(19,1),(21,1),(23,1),(38,1),(40,1),(51,1)}
       31:{2,4,6}:{(19,1),(22,1),(24,1),(39,1),(41,1),(52,1)}
       32:{1,3,7}:{(20,1),(21,1),(40,1),(43,1),(55,1)}
       33:{2,3,7}:{(20,1),(22,1),(41,1),(43,1),(55,1)}
       34:{1,2,6}:{(21,1),(22,1),(25,1),(43,1)}
       35:{1,2,4}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(45,1),(46,1),(47,1)}
       38:{1,5}:{(28,1),(30,1)}
       39:{2,5}:{(28,1),(31,1)}
       40:{1,4,7}:{(29,1),(30,1),(32,1),(46,1)}
       41:{2,4,7}:{(29,1),(31,1),(33,1),(47,1)}
       42:{1,2,4,6}:{(30,1),(31,1),(34,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       43:{1,2,7}:{(32,1),(33,1),(34,1)}
       44:{3}:{(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(40,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(41,1),(52,1)}
       48:{1,2,5}:{(38,1),(39,1),(42,1),(54,1),(62,1)}
       49:{1,2,4,7}:{(40,1),(41,1),(42,1),(43,1),(53,1),(55,1),(60,1)}
       50:{3,6}:{(42,1),(44,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,5}:{(48,1),(50,1),(58,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(54,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 701 :   0:{3,5,6,7}:{(2,1),(3,1),(4,1),(26,1),(28,1),(29,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(8,1),(29,1),(41,1),(42,1),(74,1),(78,1),(82,1),(142,1),(152,1)}
         2:{1,5,6,7}:{(0,1),(10,1),(52,1),(54,1)}
         3:{2,5,6,7}:{(0,1),(11,1),(50,1),(55,1)}
         4:{4,6,7}:{(0,1),(12,1)}
         5:{4,5,6}:{(12,1),(18,1),(125,1)}
         6:{3,4,6}:{(1,1),(18,1),(19,1),(20,1),(68,1),(125,1)}
         7:{1,4,5,7}:{(1,1),(15,1),(19,1),(54,1),(70,1),(103,1),(107,1),(111,1)}
         8:{2,4,5,7}:{(1,1),(17,1),(20,1),(55,1),(71,1),(104,1),(108,1),(112,1)}
         9:{2,3,4,7}:{(17,1),(22,1),(23,1),(69,1),(112,1),(156,1),(165,1),(199,1)}
        10:{1,4,6,7}:{(2,1),(4,1),(25,1),(26,1)}
        11:{2,4,6,7}:{(3,1),(4,1),(27,1),(28,1)}
        12:{4,5,7}:{(4,1),(5,1),(29,1),(142,1)}
        13:{3,4,6,7}:{(4,1),(6,1),(26,1),(28,1),(29,1),(30,1),(31,1),(78,1),(82,1),(87,1),(142,1)}
        14:{1,4,5,6}:{(5,1),(25,1),(32,1),(38,1),(88,1)}
        15:{1,3,5,7}:{(7,1),(24,1),(33,1),(34,1),(41,1),(75,1),(100,1),(138,1),(204,1)}
        16:{2,4,5,6}:{(5,1),(27,1),(35,1),(39,1),(94,1)}
        17:{2,3,5,7}:{(8,1),(9,1),(36,1),(37,1),(41,1),(43,1),(131,1),(134,1),(206,1)}
        18:{3,5,6}:{(5,1),(6,1),(29,1),(38,1),(39,1)}
        19:{1,4,6}:{(6,1),(7,1),(33,1),(38,1)}
        20:{2,4,6}:{(6,1),(8,1),(36,1),(39,1)}
        21:{1,2,4,5,7}:{(7,1),(8,1),(34,1),(37,1),(40,1),(41,1),(86,1),(92,1),(97,1),(101,1),(132,1),(135,1),(139,1),(142,1),(147,1),(151,1),(152,1),(183,1),(187,1),(204,1),(206,1)}
        22:{2,3,4,6}:{(9,1),(36,1),(43,1),(44,1),(94,1),(99,1),(149,1),(155,1),(192,1)}
        23:{1,2,4,7}:{(9,1),(37,1),(44,1),(45,1),(97,1),(178,1)}
        24:{1,3,4,7}:{(15,1),(46,1),(47,1),(69,1),(107,1),(127,1),(161,1),(196,1)}
        25:{1,4,5,7}:{(10,1),(12,1),(14,1),(48,1),(54,1),(107,1)}
        26:{3,6,7}:{(10,1),(48,1),(50,1)}
        27:{2,4,5,7}:{(11,1),(12,1),(16,1),(51,1),(55,1),(112,1)}
        28:{3,6,7}:{(11,1),(51,1),(52,1)}
        29:{3,5,7}:{(12,1),(13,1),(18,1),(54,1),(55,1)}
        30:{1,4,6,7}:{(13,1),(19,1),(49,1),(52,1),(54,1),(107,1),(111,1)}
        31:{2,4,6,7}:{(13,1),(20,1),(50,1),(53,1),(55,1),(108,1),(112,1)}
        32:{3,5,6}:{(14,1),(48,1),(57,1),(59,1)}
        33:{1,3,6}:{(15,1),(19,1),(60,1),(68,1),(208,1)}
        34:{1,2,5,7}:{(15,1),(47,1),(60,1),(61,1),(105,1),(128,1),(164,1)}
        35:{3,5,6}:{(16,1),(51,1),(62,1),(63,1)}
        36:{2,3,6}:{(17,1),(20,1),(65,1),(68,1),(209,1)}
        37:{1,2,5,7}:{(17,1),(23,1),(65,1),(66,1),(72,1),(157,1),(160,1)}
        38:{1,5,6}:{(18,1),(19,1),(54,1)}
        39:{2,5,6}:{(18,1),(20,1),(55,1)}
        40:{1,2,4,6}:{(19,1),(20,1),(21,1),(60,1),(65,1),(67,1),(68,1),(120,1),(124,1),(125,1),(198,1),(201,1),(208,1),(209,1)}
        41:{3,5,7}:{(21,1),(68,1),(69,1),(126,1),(129,1),(158,1),(161,1),(165,1)}
        42:{3,4,5}:{(62,1),(70,1),(71,1),(129,1)}
        43:{2,3,5}:{(22,1),(71,1),(72,1),(126,1),(129,1),(203,1)}
        44:{1,2,4,6}:{(22,1),(23,1),(65,1),(72,1),(73,1),(124,1),(130,1)}
        45:{1,3,7}:{(23,1),(73,1),(165,1),(194,1)}
        46:{1,3,4,6}:{(24,1),(33,1),(75,1),(76,1),(88,1),(99,1),(145,1),(180,1),(190,1)}
        47:{1,2,4,7}:{(24,1),(34,1),(76,1),(77,1),(92,1),(153,1)}
        48:{3,5,7}:{(25,1),(26,1),(32,1),(78,1),(80,1)}
        49:{1,3,6,7}:{(26,1),(30,1),(33,1),(79,1),(81,1),(87,1),(138,1)}
        50:{2,6,7}:{(26,1),(80,1)}
        51:{3,5,7}:{(27,1),(28,1),(35,1),(82,1),(83,1)}
        52:{1,6,7}:{(28,1),(83,1)}
        53:{2,3,6,7}:{(28,1),(31,1),(36,1),(84,1),(85,1),(87,1),(134,1)}
        54:{1,5,7}:{(29,1),(30,1),(38,1)}
        55:{2,5,7}:{(29,1),(31,1),(39,1)}
        56:{1,2,4,6,7}:{(30,1),(31,1),(40,1),(81,1),(85,1),(86,1),(87,1),(135,1),(137,1),(139,1),(141,1),(142,1)}
        57:{3,4,6}:{(32,1),(74,1),(78,1),(88,1),(89,1),(145,1)}
        58:{1,3,5,6}:{(32,1),(33,1),(38,1),(75,1),(79,1),(88,1),(90,1),(98,1),(145,1)}
        59:{2,5,6}:{(32,1),(80,1),(89,1)}
        60:{1,2,6}:{(33,1),(34,1),(91,1)}
        61:{2,3,5,7}:{(34,1),(41,1),(77,1),(91,1),(92,1),(133,1),(147,1),(154,1),(185,1),(206,1)}
        62:{3,4,6}:{(35,1),(42,1),(82,1),(93,1),(94,1),(149,1)}
        63:{1,5,6}:{(35,1),(83,1),(93,1)}
        64:{2,3,5,6}:{(35,1),(36,1),(39,1),(43,1),(84,1),(94,1),(95,1),(98,1),(149,1)}
        65:{1,2,6}:{(36,1),(37,1),(96,1)}
        66:{1,3,5,7}:{(37,1),(41,1),(45,1),(96,1),(97,1),(102,1),(151,1),(179,1),(181,1),(204,1)}
        67:{1,2,5,6}:{(38,1),(39,1),(40,1),(86,1),(98,1),(147,1),(151,1),(184,1),(188,1)}
        68:{3,6}:{(40,1),(41,1)}
        69:{3,4,7}:{(41,1),(92,1),(97,1),(99,1),(142,1),(155,1),(180,1)}
        70:{1,4,5}:{(42,1),(93,1),(100,1)}
        71:{2,4,5}:{(42,1),(43,1),(94,1),(152,1)}
        72:{1,2,5}:{(43,1),(44,1),(102,1),(151,1)}
        73:{1,3,6}:{(44,1),(45,1),(102,1),(149,1)}
        74:{3,4,5}:{(57,1),(103,1),(104,1),(158,1)}
        75:{1,3,5}:{(46,1),(103,1),(105,1),(126,1),(158,1),(202,1)}
        76:{1,2,4,6}:{(46,1),(47,1),(60,1),(105,1),(106,1),(120,1),(159,1)}
        77:{2,3,7}:{(47,1),(106,1),(161,1),(176,1)}
        78:{3,4,7}:{(48,1),(57,1),(107,1),(108,1),(161,1)}
        79:{1,3,5,7}:{(48,1),(49,1),(54,1),(58,1),(107,1),(109,1),(115,1),(161,1)}
        80:{2,5,7}:{(48,1),(50,1),(59,1),(108,1)}
        81:{1,2,6,7}:{(49,1),(50,1),(60,1),(109,1),(110,1),(164,1),(208,1)}
        82:{3,4,7}:{(51,1),(62,1),(111,1),(112,1),(165,1)}
        83:{1,5,7}:{(51,1),(52,1),(63,1),(111,1)}
        84:{2,3,5,7}:{(51,1),(53,1),(55,1),(64,1),(112,1),(113,1),(115,1),(165,1)}
        85:{1,2,6,7}:{(52,1),(53,1),(65,1),(113,1),(114,1),(160,1),(209,1)}
        86:{1,2,5,7}:{(54,1),(55,1),(56,1),(67,1),(115,1),(163,1),(167,1)}
        87:{3,6,7}:{(56,1),(68,1),(115,1),(161,1),(165,1)}
        88:{1,4,6}:{(57,1),(58,1),(103,1),(107,1),(125,1)}
        89:{2,4,6}:{(57,1),(59,1),(104,1),(108,1),(117,1)}
        90:{1,2,5,6}:{(58,1),(59,1),(60,1),(105,1),(109,1),(118,1),(119,1),(202,1),(208,1)}
        91:{2,3,6}:{(60,1),(61,1),(68,1),(120,1),(209,1)}
        92:{2,4,7}:{(61,1),(69,1),(120,1),(159,1),(177,1)}
        93:{1,4,6}:{(62,1),(63,1),(70,1),(111,1),(121,1)}
        94:{2,4,6}:{(62,1),(64,1),(71,1),(112,1),(125,1)}
        95:{1,2,5,6}:{(63,1),(64,1),(65,1),(72,1),(113,1),(122,1),(123,1),(203,1),(209,1)}
        96:{1,3,6}:{(65,1),(66,1),(68,1),(124,1),(208,1)}
        97:{1,4,7}:{(66,1),(69,1),(124,1),(130,1),(195,1)}
        98:{3,5,6}:{(67,1),(68,1),(115,1),(125,1),(126,1)}
        99:{3,4,6}:{(68,1),(69,1),(120,1),(124,1),(125,1),(126,1)}
       100:{1,3,5}:{(70,1),(121,1),(127,1),(128,1),(129,1)}
       101:{1,2,4,5}:{(70,1),(71,1),(72,1),(122,1),(128,1),(129,1),(130,1),(175,1),(177,1),(203,1)}
       102:{1,3,5}:{(72,1),(73,1),(129,1),(130,1)}
       103:{1,4,5}:{(74,1),(75,1),(88,1),(152,1)}
       104:{2,4,5}:{(74,1),(89,1),(131,1)}
       105:{1,2,5}:{(75,1),(76,1),(133,1),(147,1)}
       106:{2,3,6}:{(76,1),(77,1),(133,1),(145,1)}
       107:{1,4,7}:{(78,1),(79,1),(88,1),(142,1)}
       108:{2,4,7}:{(78,1),(80,1),(89,1),(134,1)}
       109:{1,2,5,7}:{(79,1),(80,1),(81,1),(90,1),(135,1),(136,1),(204,1)}
       110:{2,3,6,7}:{(81,1),(87,1),(91,1),(136,1),(137,1),(185,1),(205,1)}
       111:{1,4,7}:{(82,1),(83,1),(93,1),(138,1)}
       112:{2,4,7}:{(82,1),(84,1),(94,1),(142,1)}
       113:{1,2,5,7}:{(83,1),(84,1),(85,1),(95,1),(139,1),(140,1),(206,1)}
       114:{1,3,6,7}:{(85,1),(87,1),(96,1),(140,1),(141,1),(181,1),(207,1)}
       115:{3,5,7}:{(86,1),(87,1),(98,1),(142,1)}
       116:{3,4,6,7}:{(87,1),(99,1),(137,1),(141,1),(142,1),(143,1),(182,1),(186,1),(189,1),(205,1),(207,1)}
       117:{2,3,6}:{(89,1),(131,1),(134,1),(144,1),(145,1)}
       118:{1,2,4,6}:{(88,1),(89,1),(90,1),(132,1),(135,1),(144,1),(145,1),(146,1),(190,1)}
       119:{2,3,5,6}:{(90,1),(91,1),(98,1),(133,1),(136,1),(145,1),(146,1),(147,1),(184,1),(191,1),(205,1)}
       120:{2,4,6}:{(91,1),(92,1),(99,1),(147,1)}
       121:{1,3,6}:{(93,1),(100,1),(138,1),(148,1),(149,1)}
       122:{1,2,4,6}:{(93,1),(94,1),(95,1),(101,1),(139,1),(148,1),(149,1),(150,1),(192,1)}
       123:{1,3,5,6}:{(95,1),(96,1),(98,1),(102,1),(140,1),(149,1),(150,1),(151,1),(188,1),(193,1),(207,1)}
       124:{1,4,6}:{(96,1),(97,1),(99,1),(151,1)}
       125:{4,6}:{(98,1),(142,1),(152,1)}
       126:{3,5}:{(99,1),(147,1),(151,1),(152,1)}
       127:{1,3,4}:{(100,1),(153,1),(155,1)}
       128:{1,2,5}:{(100,1),(148,1),(153,1),(154,1)}
       129:{3,5}:{(101,1),(149,1),(155,1)}
       130:{1,4}:{(102,1),(155,1)}
       131:{2,3,5}:{(104,1),(117,1),(156,1),(157,1),(158,1)}
       132:{1,2,4,5}:{(103,1),(104,1),(105,1),(118,1),(157,1),(158,1),(159,1),(172,1),(195,1),(202,1)}
       133:{2,3,5}:{(105,1),(106,1),(158,1),(159,1)}
       134:{2,3,7}:{(108,1),(117,1),(160,1),(161,1)}
       135:{1,2,4,7}:{(107,1),(108,1),(109,1),(118,1),(160,1),(161,1),(162,1),(196,1)}
       136:{2,3,5,7}:{(109,1),(110,1),(115,1),(119,1),(161,1),(162,1),(163,1),(197,1)}
       137:{2,4,6,7}:{(110,1),(116,1),(120,1),(162,1),(163,1),(198,1),(199,1),(209,1)}
       138:{1,3,7}:{(111,1),(121,1),(164,1),(165,1)}
       139:{1,2,4,7}:{(111,1),(112,1),(113,1),(122,1),(164,1),(165,1),(166,1),(199,1)}
       140:{1,3,5,7}:{(113,1),(114,1),(115,1),(123,1),(165,1),(166,1),(167,1),(200,1)}
       141:{1,4,6,7}:{(114,1),(116,1),(124,1),(166,1),(167,1),(196,1),(201,1),(208,1)}
       142:{4,7}:{(115,1),(125,1)}
       143:{3,5,7}:{(116,1),(126,1),(163,1),(167,1),(168,1),(169,1)}
       144:{1,2,6}:{(117,1),(157,1),(160,1),(170,1)}
       145:{3,6}:{(118,1),(158,1),(161,1)}
       146:{2,4,6}:{(119,1),(125,1),(159,1),(162,1),(171,1),(172,1)}
       147:{2,5}:{(120,1),(126,1)}
       148:{1,2,6}:{(121,1),(128,1),(164,1),(173,1)}
       149:{3,6}:{(122,1),(129,1),(165,1)}
       150:{1,4,6}:{(123,1),(125,1),(130,1),(166,1),(174,1),(175,1)}
       151:{1,5}:{(124,1),(126,1)}
       152:{4,5}:{(125,1),(126,1)}
       153:{1,2,4}:{(127,1),(128,1),(176,1),(177,1)}
       154:{2,3,5}:{(128,1),(129,1),(173,1),(176,1),(177,1),(203,1)}
       155:{3,4}:{(129,1),(130,1),(177,1)}
       156:{2,3,4}:{(131,1),(178,1),(180,1)}
       157:{1,2,5}:{(131,1),(144,1),(178,1),(179,1)}
       158:{3,5}:{(132,1),(145,1),(180,1)}
       159:{2,4}:{(133,1),(180,1)}
       160:{1,2,7}:{(134,1),(144,1),(181,1)}
       161:{3,7}:{(135,1),(145,1)}
       162:{2,4,7}:{(136,1),(142,1),(146,1),(182,1)}
       163:{2,5,7}:{(137,1),(143,1),(147,1),(184,1)}
       164:{1,2,7}:{(138,1),(148,1),(185,1)}
       165:{3,7}:{(139,1),(149,1)}
       166:{1,4,7}:{(140,1),(142,1),(150,1),(186,1)}
       167:{1,5,7}:{(141,1),(143,1),(151,1),(188,1)}
       168:{4,5,7}:{(142,1),(143,1),(152,1),(189,1)}
       169:{3,5,6}:{(143,1),(184,1),(188,1),(189,1),(205,1),(207,1)}
       170:{1,3,6}:{(144,1),(145,1),(179,1),(181,1),(190,1)}
       171:{3,4,6}:{(145,1),(146,1),(180,1),(182,1),(190,1),(191,1),(205,1)}
       172:{2,4,5}:{(146,1),(147,1),(152,1),(191,1)}
       173:{2,3,6}:{(148,1),(149,1),(154,1),(185,1),(192,1)}
       174:{3,4,6}:{(149,1),(150,1),(155,1),(186,1),(192,1),(193,1),(207,1)}
       175:{1,4,5}:{(150,1),(151,1),(152,1),(193,1)}
       176:{2,3}:{(153,1)}
       177:{2,4}:{(154,1),(155,1)}
       178:{1,2,4}:{(156,1),(157,1),(194,1),(195,1)}
       179:{1,3,5}:{(157,1),(158,1),(170,1),(194,1),(195,1),(202,1)}
       180:{3,4}:{(158,1),(159,1),(195,1)}
       181:{1,3,7}:{(160,1),(161,1),(170,1),(196,1)}
       182:{3,4,7}:{(161,1),(162,1),(171,1),(196,1),(197,1)}
       183:{2,4,5,7}:{(162,1),(163,1),(168,1),(172,1),(197,1),(198,1)}
       184:{2,5,6}:{(163,1),(169,1),(198,1),(209,1)}
       185:{2,3,7}:{(164,1),(165,1),(173,1),(199,1)}
       186:{3,4,7}:{(165,1),(166,1),(174,1),(199,1),(200,1)}
       187:{1,4,5,7}:{(166,1),(167,1),(168,1),(175,1),(200,1),(201,1)}
       188:{1,5,6}:{(167,1),(169,1),(201,1),(208,1)}
       189:{4,6}:{(168,1),(169,1)}
       190:{1,4,6}:{(170,1),(171,1),(195,1),(196,1),(202,1),(208,1)}
       191:{3,5}:{(171,1),(172,1),(202,1)}
       192:{2,4,6}:{(173,1),(174,1),(177,1),(199,1),(203,1),(209,1)}
       193:{3,5}:{(174,1),(175,1),(203,1)}
       194:{1,3}:{(178,1)}
       195:{1,4}:{(179,1),(180,1)}
       196:{1,4,7}:{(181,1),(182,1),(190,1),(204,1)}
       197:{3,5,7}:{(182,1),(183,1),(191,1),(204,1),(205,1)}
       198:{2,4,6}:{(183,1),(184,1),(189,1),(205,1)}
       199:{2,4,7}:{(185,1),(186,1),(192,1),(206,1)}
       200:{3,5,7}:{(186,1),(187,1),(193,1),(206,1),(207,1)}
       201:{1,4,6}:{(187,1),(188,1),(189,1),(207,1)}
       202:{1,5}:{(190,1),(191,1)}
       203:{2,5}:{(192,1),(193,1)}
       204:{1,5,7}:{(196,1),(197,1),(202,1),(208,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{2,5,7}:{(199,1),(200,1),(203,1),(209,1)}
       207:{3,6}:{(200,1),(201,1),(209,1)}
       208:{1,6}:{(204,1),(205,1)}
       209:{2,6}:{(206,1),(207,1)}

 702 :   0:{1,2,4,5,7}:{(1,1),(2,1),(10,1),(11,1),(12,1),(14,1),(36,1),(39,1),(40,1),(41,1),(65,1),(66,1),(67,1),(71,1),(99,1),(100,1)}
         1:{3,5,7}:{(0,1),(4,1),(7,1),(25,1),(84,1),(88,1)}
         2:{1,2,4,6}:{(0,1),(7,1),(8,1),(23,1),(24,1),(26,1),(29,1),(78,1),(79,1),(109,1),(110,1)}
         3:{1,2,4,6,7}:{(2,1),(9,1),(10,1),(30,1),(31,1),(33,1),(36,1),(67,1),(134,1)}
         4:{3,4,7}:{(1,1),(11,1),(12,1),(13,1),(36,1),(37,1),(103,1)}
         5:{1,3,5,7}:{(1,1),(11,1),(14,1),(15,1),(37,1),(39,1),(70,1),(100,1),(101,1),(104,1)}
         6:{2,3,5,7}:{(1,1),(12,1),(14,1),(16,1),(37,1),(40,1),(70,1),(99,1),(102,1),(105,1)}
         7:{3,6}:{(1,1),(2,1)}
         8:{1,2,5,6}:{(2,1),(10,1),(17,1),(39,1),(40,1),(60,1),(61,1)}
         9:{3,6,7}:{(3,1),(7,1),(21,1),(84,1),(137,1)}
        10:{1,2,5,7}:{(3,1),(8,1),(21,1),(47,1),(48,1),(136,1)}
        11:{1,4,7}:{(4,1),(5,1),(23,1),(87,1),(115,1)}
        12:{2,4,7}:{(4,1),(6,1),(24,1),(87,1),(116,1)}
        13:{3,4,6}:{(4,1),(7,1),(23,1),(24,1),(25,1),(29,1),(53,1),(87,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(22,1),(26,1),(54,1),(114,1),(117,1)}
        15:{1,3,6}:{(5,1),(7,1),(23,1),(26,1),(53,1),(110,1)}
        16:{2,3,6}:{(6,1),(7,1),(24,1),(26,1),(53,1),(109,1)}
        17:{3,5,6}:{(7,1),(8,1),(21,1),(25,1),(29,1)}
        18:{3,4,6,7}:{(9,1),(13,1),(30,1),(31,1),(32,1),(36,1),(62,1),(63,1),(68,1),(69,1),(95,1),(96,1),(97,1),(119,1)}
        19:{1,3,6,7}:{(9,1),(15,1),(30,1),(33,1),(34,1),(63,1),(95,1),(101,1),(120,1)}
        20:{2,3,6,7}:{(9,1),(16,1),(31,1),(33,1),(35,1),(63,1),(96,1),(102,1),(121,1)}
        21:{3,5,7}:{(9,1),(10,1),(17,1),(36,1),(138,1)}
        22:{1,2,4,7}:{(11,1),(12,1),(14,1),(37,1),(38,1),(125,1)}
        23:{1,4,6}:{(11,1),(13,1),(15,1),(39,1)}
        24:{2,4,6}:{(12,1),(13,1),(16,1),(40,1)}
        25:{3,5}:{(13,1),(39,1),(40,1),(41,1)}
        26:{1,2,6}:{(14,1),(15,1),(16,1)}
        27:{1,3,5,6}:{(15,1),(17,1),(34,1),(39,1),(42,1),(43,1),(60,1),(70,1),(72,1),(74,1),(93,1),(95,1),(104,1),(120,1),(132,1),(138,1)}
        28:{2,3,5,6}:{(16,1),(17,1),(35,1),(40,1),(42,1),(44,1),(61,1),(70,1),(73,1),(74,1),(93,1),(96,1),(105,1),(121,1),(133,1),(138,1)}
        29:{4,6}:{(17,1),(36,1),(41,1)}
        30:{1,4,6,7}:{(18,1),(19,1),(23,1),(47,1),(51,1),(78,1),(86,1),(110,1),(127,1)}
        31:{2,4,6,7}:{(18,1),(20,1),(24,1),(48,1),(52,1),(79,1),(85,1),(109,1),(128,1)}
        32:{3,5,7}:{(18,1),(25,1),(45,1),(47,1),(48,1),(49,1),(126,1)}
        33:{1,2,6,7}:{(19,1),(20,1),(26,1),(50,1),(109,1),(110,1),(114,1),(129,1)}
        34:{1,3,5,7}:{(19,1),(21,1),(27,1),(47,1),(50,1),(51,1),(80,1),(82,1),(84,1)}
        35:{2,3,5,7}:{(20,1),(21,1),(28,1),(48,1),(50,1),(52,1),(80,1),(83,1),(84,1)}
        36:{4,7}:{(21,1),(29,1),(139,1)}
        37:{3,7}:{(22,1),(53,1),(131,1)}
        38:{1,2,4,6}:{(22,1),(23,1),(24,1),(26,1),(53,1),(54,1),(87,1)}
        39:{1,5}:{(23,1),(25,1)}
        40:{2,5}:{(24,1),(25,1)}
        41:{4,5}:{(25,1),(29,1),(87,1)}
        42:{1,2,5,6}:{(26,1),(27,1),(28,1),(50,1),(54,1),(57,1),(89,1),(90,1),(109,1),(110,1),(117,1),(129,1),(136,1)}
        43:{1,4,6}:{(27,1),(29,1),(51,1),(55,1),(58,1),(87,1),(107,1),(115,1),(139,1)}
        44:{2,4,6}:{(28,1),(29,1),(52,1),(56,1),(59,1),(87,1),(107,1),(116,1),(139,1)}
        45:{3,5,6}:{(32,1),(60,1),(61,1),(62,1),(95,1),(96,1)}
        46:{1,2,4,6,7}:{(30,1),(31,1),(33,1),(38,1),(63,1),(64,1),(67,1),(94,1),(97,1)}
        47:{1,5,7}:{(30,1),(32,1),(39,1),(60,1),(132,1)}
        48:{2,5,7}:{(31,1),(32,1),(40,1),(61,1),(133,1)}
        49:{4,5,7}:{(32,1),(36,1),(41,1),(62,1),(97,1),(118,1)}
        50:{1,2,5,7}:{(33,1),(34,1),(35,1),(42,1),(67,1),(99,1),(100,1)}
        51:{1,4,7}:{(34,1),(36,1),(43,1),(68,1),(97,1)}
        52:{2,4,7}:{(35,1),(36,1),(44,1),(69,1),(97,1)}
        53:{3,6}:{(37,1),(38,1),(70,1)}
        54:{1,2,5}:{(38,1),(39,1),(40,1),(70,1)}
        55:{1,4,5}:{(39,1),(41,1),(43,1),(72,1),(118,1),(132,1)}
        56:{2,4,5}:{(40,1),(41,1),(44,1),(73,1),(118,1),(133,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(44,1),(67,1),(71,1),(74,1),(75,1),(76,1),(106,1),(125,1)}
        58:{3,4,6}:{(43,1),(68,1),(72,1),(74,1),(75,1),(95,1),(103,1)}
        59:{3,4,6}:{(44,1),(69,1),(73,1),(74,1),(76,1),(96,1),(103,1)}
        60:{1,5,6}:{(45,1),(47,1),(78,1),(110,1)}
        61:{2,5,6}:{(45,1),(48,1),(79,1),(109,1)}
        62:{4,6}:{(45,1),(49,1)}
        63:{3,6,7}:{(46,1),(53,1),(80,1),(84,1),(108,1)}
        64:{1,2,5,7}:{(46,1),(47,1),(48,1),(54,1),(77,1),(80,1)}
        65:{1,4,5,7}:{(47,1),(49,1),(51,1),(55,1),(78,1),(82,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(52,1),(56,1),(79,1),(83,1)}
        67:{1,2,4,7}:{(50,1),(51,1),(52,1),(57,1),(84,1),(85,1),(86,1),(114,1)}
        68:{3,4,7}:{(51,1),(58,1),(82,1),(84,1),(85,1)}
        69:{3,4,7}:{(52,1),(59,1),(83,1),(84,1),(86,1)}
        70:{3,5}:{(53,1),(54,1),(87,1)}
        71:{1,2,4,5}:{(54,1),(55,1),(56,1),(57,1),(87,1),(88,1),(89,1),(90,1),(115,1),(116,1),(117,1),(136,1),(139,1)}
        72:{3,5}:{(55,1),(58,1),(89,1)}
        73:{3,5}:{(56,1),(59,1),(90,1)}
        74:{3,6}:{(57,1),(84,1),(88,1),(131,1)}
        75:{2,4,6}:{(58,1),(85,1),(89,1),(92,1),(109,1),(116,1)}
        76:{1,4,6}:{(59,1),(86,1),(90,1),(91,1),(110,1),(115,1)}
        77:{1,2,5,6}:{(60,1),(61,1),(64,1),(93,1),(94,1),(132,1),(133,1)}
        78:{1,4,6}:{(60,1),(62,1),(65,1),(95,1)}
        79:{2,4,6}:{(61,1),(62,1),(66,1),(96,1)}
        80:{3,5,7}:{(63,1),(64,1),(70,1),(93,1),(97,1)}
        81:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(67,1),(71,1),(94,1),(97,1),(98,1),(99,1),(100,1),(118,1),(122,1),(123,1),(124,1),(132,1),(133,1)}
        82:{3,5,7}:{(65,1),(68,1),(72,1),(95,1),(99,1)}
        83:{3,5,7}:{(66,1),(69,1),(73,1),(96,1),(100,1)}
        84:{3,7}:{(67,1),(74,1)}
        85:{2,4,7}:{(68,1),(75,1),(99,1),(102,1)}
        86:{1,4,7}:{(69,1),(76,1),(100,1),(101,1)}
        87:{4}:{(70,1)}
        88:{3,5}:{(71,1),(74,1),(103,1)}
        89:{2,5}:{(72,1),(75,1)}
        90:{1,5}:{(73,1),(76,1)}
        91:{1,3,6}:{(74,1),(76,1),(101,1),(104,1),(106,1)}
        92:{2,3,6}:{(74,1),(75,1),(102,1),(105,1),(106,1)}
        93:{3,5,6}:{(77,1),(80,1),(107,1),(108,1),(126,1)}
        94:{1,2,4,6}:{(77,1),(78,1),(79,1),(81,1),(107,1),(108,1),(109,1),(110,1),(127,1),(128,1),(129,1)}
        95:{3,6}:{(78,1),(82,1),(109,1)}
        96:{3,6}:{(79,1),(83,1),(110,1)}
        97:{4,7}:{(80,1),(87,1),(107,1)}
        98:{3,5,7}:{(81,1),(84,1),(88,1),(108,1),(111,1),(126,1)}
        99:{2,5,7}:{(82,1),(85,1),(89,1),(109,1)}
       100:{1,5,7}:{(83,1),(86,1),(90,1),(110,1)}
       101:{1,3,7}:{(84,1),(86,1),(91,1),(114,1)}
       102:{2,3,7}:{(84,1),(85,1),(92,1),(114,1)}
       103:{3,4}:{(87,1),(88,1),(115,1),(116,1),(131,1),(139,1)}
       104:{1,3,5}:{(88,1),(90,1),(91,1),(115,1),(117,1),(131,1)}
       105:{2,3,5}:{(88,1),(89,1),(92,1),(116,1),(117,1),(131,1)}
       106:{1,2,6}:{(91,1),(92,1),(114,1),(117,1)}
       107:{4,6}:{(93,1),(97,1),(118,1)}
       108:{3,6}:{(94,1),(98,1)}
       109:{2,6}:{(95,1),(99,1)}
       110:{1,6}:{(96,1),(100,1)}
       111:{3,4,7}:{(97,1),(98,1),(103,1),(119,1),(122,1),(123,1),(135,1)}
       112:{1,3,5,7}:{(98,1),(100,1),(101,1),(104,1),(120,1),(122,1),(124,1),(132,1),(135,1),(138,1)}
       113:{2,3,5,7}:{(98,1),(99,1),(102,1),(105,1),(121,1),(123,1),(124,1),(133,1),(135,1),(138,1)}
       114:{1,2,7}:{(101,1),(102,1),(106,1)}
       115:{1,4}:{(103,1),(104,1)}
       116:{2,4}:{(103,1),(105,1)}
       117:{1,2,5}:{(104,1),(105,1),(106,1),(125,1)}
       118:{4,5}:{(107,1),(126,1),(139,1)}
       119:{3,4,6}:{(107,1),(108,1),(111,1),(126,1),(127,1),(128,1),(137,1),(139,1)}
       120:{1,3,6}:{(108,1),(110,1),(112,1),(127,1),(129,1),(137,1)}
       121:{2,3,6}:{(108,1),(109,1),(113,1),(128,1),(129,1),(137,1)}
       122:{1,4,7}:{(111,1),(112,1),(115,1),(127,1),(139,1)}
       123:{2,4,7}:{(111,1),(113,1),(116,1),(128,1),(139,1)}
       124:{1,2,5,7}:{(112,1),(113,1),(114,1),(117,1),(129,1),(130,1),(136,1)}
       125:{1,2,4}:{(115,1),(116,1),(117,1),(131,1)}
       126:{3,5}:{(118,1),(119,1),(132,1),(133,1)}
       127:{1,4,6}:{(119,1),(120,1),(122,1),(132,1)}
       128:{2,4,6}:{(119,1),(121,1),(123,1),(133,1)}
       129:{1,2,6}:{(120,1),(121,1),(124,1)}
       130:{1,2,4,7}:{(122,1),(123,1),(124,1),(125,1),(134,1),(135,1)}
       131:{3}:{(125,1)}
       132:{1,5}:{(126,1),(127,1)}
       133:{2,5}:{(126,1),(128,1)}
       134:{1,2,4,6}:{(127,1),(128,1),(129,1),(130,1),(136,1),(137,1),(139,1)}
       135:{3,7}:{(130,1),(131,1),(137,1)}
       136:{1,2,5}:{(132,1),(133,1),(134,1),(138,1)}
       137:{3,6}:{(134,1),(135,1),(138,1)}
       138:{3,5}:{(136,1),(137,1),(139,1)}
       139:{4}:{(138,1)}

 703 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(11,1),(19,1),(39,1),(45,1),(85,1),(98,1)}
         1:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(27,1),(31,1),(72,1)}
         2:{1,3,5}:{(0,1),(6,1),(8,1),(29,1),(108,1),(124,1)}
         3:{1,3,4,7}:{(0,1),(7,1),(9,1),(25,1),(64,1),(71,1),(111,1),(205,1)}
         4:{1,3,5,6}:{(2,1),(10,1),(11,1),(12,1),(19,1),(35,1),(39,1),(54,1),(103,1)}
         5:{2,3,6}:{(1,1),(13,1),(14,1),(39,1)}
         6:{1,2,5}:{(1,1),(2,1),(13,1),(99,1)}
         7:{1,2,4,7}:{(1,1),(3,1),(14,1),(16,1),(46,1),(208,1)}
         8:{1,4,5}:{(2,1),(11,1),(17,1),(146,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(16,1),(18,1),(19,1),(50,1),(132,1),(197,1),(200,1)}
        10:{1,2,5,6}:{(4,1),(6,1),(21,1),(22,1),(23,1),(31,1),(55,1),(108,1),(152,1)}
        11:{1,4,6}:{(4,1),(8,1),(24,1),(25,1),(128,1)}
        12:{1,3,5,7}:{(4,1),(23,1),(25,1),(26,1),(56,1),(64,1),(68,1),(117,1)}
        13:{2,3,5}:{(5,1),(6,1),(27,1),(29,1)}
        14:{2,3,7}:{(5,1),(7,1),(64,1),(209,1)}
        15:{1,2,4,5}:{(6,1),(8,1),(22,1),(27,1),(29,1),(32,1),(58,1),(69,1),(73,1),(108,1)}
        16:{1,2,5,7}:{(6,1),(7,1),(9,1),(28,1),(31,1),(204,1),(207,1)}
        17:{3,4,5}:{(8,1),(24,1),(29,1),(32,1)}
        18:{1,4,5,7}:{(8,1),(9,1),(25,1),(33,1),(34,1),(68,1),(188,1),(192,1)}
        19:{1,3,6}:{(9,1),(31,1),(34,1),(76,1),(152,1)}
        20:{1,4,5,6}:{(11,1),(35,1),(36,1),(54,1),(105,1)}
        21:{2,3,5,6}:{(10,1),(13,1),(37,1),(38,1),(39,1),(47,1),(83,1),(99,1),(103,1),(133,1),(134,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(15,1),(37,1),(39,1),(40,1),(42,1),(85,1),(88,1)}
        23:{1,2,5,7}:{(10,1),(12,1),(38,1),(40,1),(41,1),(80,1),(132,1)}
        24:{3,4,6}:{(11,1),(17,1),(35,1),(39,1),(42,1),(43,1)}
        25:{1,4,7}:{(11,1),(12,1),(43,1),(140,1)}
        26:{1,3,6,7}:{(12,1),(19,1),(41,1),(44,1),(81,1),(91,1),(197,1)}
        27:{2,4}:{(13,1),(45,1)}
        28:{2,3,5,7}:{(13,1),(14,1),(16,1),(46,1),(47,1),(50,1),(99,1),(196,1),(198,1),(201,1)}
        29:{3,5}:{(15,1),(39,1),(45,1)}
        30:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(40,1),(46,1),(50,1),(51,1),(52,1),(84,1),(92,1),(96,1),(99,1),(100,1),(132,1),(140,1),(144,1),(146,1),(171,1),(172,1),(177,1),(196,1)}
        31:{1,2,6}:{(16,1),(19,1),(47,1)}
        32:{2,4,5}:{(17,1),(42,1),(49,1)}
        33:{3,4,5,7}:{(17,1),(18,1),(43,1),(50,1),(52,1),(53,1),(94,1),(140,1),(146,1),(174,1),(179,1)}
        34:{1,4,6}:{(18,1),(19,1),(53,1),(54,1)}
        35:{3,5,6}:{(20,1),(24,1),(55,1),(56,1)}
        36:{1,4,5,7}:{(20,1),(25,1),(56,1),(57,1),(68,1),(119,1)}
        37:{2,4,6}:{(21,1),(27,1),(58,1),(59,1),(60,1),(128,1)}
        38:{2,3,5,7}:{(21,1),(23,1),(60,1),(61,1),(64,1),(109,1),(113,1),(117,1)}
        39:{3,6}:{(22,1),(29,1),(64,1)}
        40:{1,2,4,7}:{(22,1),(23,1),(25,1),(60,1),(64,1),(66,1),(111,1),(114,1)}
        41:{1,2,6,7}:{(23,1),(26,1),(31,1),(61,1),(106,1),(152,1),(204,1)}
        42:{2,4,6}:{(24,1),(32,1),(55,1),(63,1),(66,1)}
        43:{3,4,7}:{(24,1),(25,1),(56,1),(64,1),(66,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(34,1),(67,1),(68,1),(183,1),(188,1)}
        45:{3,4}:{(27,1),(29,1),(69,1)}
        46:{2,4,7}:{(27,1),(28,1),(71,1),(72,1),(206,1)}
        47:{2,3,6}:{(28,1),(31,1),(72,1),(76,1),(203,1)}
        48:{1,3,5}:{(29,1),(62,1),(69,1),(73,1),(108,1),(120,1)}
        49:{2,3,5}:{(29,1),(32,1),(63,1),(70,1),(73,1)}
        50:{3,5,7}:{(29,1),(30,1),(64,1),(71,1),(76,1),(124,1),(186,1),(190,1)}
        51:{1,2,4,6}:{(30,1),(31,1),(34,1),(72,1),(76,1),(77,1),(78,1),(110,1),(122,1),(125,1),(128,1),(152,1),(184,1),(203,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(66,1),(75,1),(78,1),(118,1),(158,1),(163,1)}
        53:{3,4,6}:{(33,1),(34,1),(76,1),(78,1),(79,1),(128,1)}
        54:{1,5,6}:{(34,1),(68,1),(79,1)}
        55:{2,5,6}:{(35,1),(42,1),(80,1)}
        56:{3,5,7}:{(35,1),(36,1),(43,1),(80,1),(81,1)}
        57:{1,4,6,7}:{(36,1),(81,1),(82,1),(131,1)}
        58:{2,4,5}:{(37,1),(83,1),(99,1),(146,1)}
        59:{3,4,6}:{(37,1),(39,1),(45,1),(83,1),(85,1),(86,1),(133,1)}
        60:{2,4,7}:{(37,1),(38,1),(86,1),(140,1)}
        61:{2,3,6,7}:{(38,1),(41,1),(47,1),(87,1),(91,1),(133,1),(198,1)}
        62:{1,3,6}:{(39,1),(48,1),(85,1),(88,1),(89,1)}
        63:{2,3,6}:{(39,1),(42,1),(49,1),(88,1),(90,1)}
        64:{3,7}:{(39,1),(40,1)}
        65:{1,2,4,6,7}:{(40,1),(41,1),(44,1),(51,1),(87,1),(91,1),(92,1),(93,1),(135,1),(137,1),(140,1),(172,1)}
        66:{2,4,7}:{(42,1),(43,1),(80,1),(90,1)}
        67:{3,4,6,7}:{(43,1),(44,1),(53,1),(81,1),(91,1),(93,1),(94,1),(131,1),(140,1),(168,1),(174,1)}
        68:{1,5,7}:{(44,1),(54,1),(94,1)}
        69:{1,4}:{(45,1),(48,1)}
        70:{2,3,4}:{(45,1),(49,1),(95,1)}
        71:{3,4,7}:{(45,1),(46,1),(50,1),(96,1),(98,1),(140,1),(199,1)}
        72:{2,4,6}:{(46,1),(47,1),(98,1),(99,1)}
        73:{1,2,5}:{(48,1),(49,1),(88,1),(95,1)}
        74:{1,3,5,7}:{(48,1),(50,1),(89,1),(96,1),(100,1),(101,1),(132,1),(142,1),(144,1),(176,1)}
        75:{2,3,5,7}:{(49,1),(50,1),(52,1),(90,1),(97,1),(100,1),(102,1),(145,1),(196,1)}
        76:{3,6}:{(50,1),(51,1)}
        77:{1,2,5,6}:{(51,1),(54,1),(92,1),(99,1),(103,1),(104,1),(134,1),(144,1),(169,1)}
        78:{2,4,6}:{(52,1),(53,1),(102,1),(104,1)}
        79:{3,5,6}:{(53,1),(54,1),(94,1),(104,1),(105,1)}
        80:{2,5,7}:{(55,1),(56,1),(66,1),(106,1)}
        81:{3,6,7}:{(56,1),(57,1),(106,1)}
        82:{1,5,6,7}:{(57,1),(68,1),(107,1),(183,1)}
        83:{3,5}:{(58,1),(59,1),(108,1)}
        84:{2,4,5,7}:{(58,1),(60,1),(109,1),(110,1),(113,1),(155,1)}
        85:{1,4,6}:{(59,1),(62,1),(69,1),(108,1),(111,1),(152,1)}
        86:{3,4,7}:{(59,1),(60,1),(64,1),(109,1),(111,1)}
        87:{2,4,6,7}:{(60,1),(61,1),(72,1),(110,1),(112,1),(113,1),(187,1),(203,1)}
        88:{1,2,6}:{(62,1),(63,1),(73,1),(114,1)}
        89:{1,3,7}:{(62,1),(64,1),(111,1),(114,1)}
        90:{2,3,7}:{(63,1),(64,1),(66,1),(114,1)}
        91:{3,6,7}:{(64,1),(65,1),(76,1),(117,1),(186,1)}
        92:{1,2,5,7}:{(65,1),(68,1),(77,1),(113,1),(117,1),(118,1),(154,1)}
        93:{2,4,6,7}:{(66,1),(67,1),(78,1),(106,1),(116,1),(118,1),(158,1)}
        94:{3,5,7}:{(67,1),(68,1),(79,1),(118,1),(119,1)}
        95:{1,2,4}:{(69,1),(70,1),(73,1),(120,1)}
        96:{1,4,7}:{(69,1),(71,1),(74,1),(122,1),(189,1)}
        97:{2,3,4,7}:{(70,1),(71,1),(75,1),(121,1),(123,1),(158,1),(186,1),(187,1)}
        98:{3,4,6}:{(71,1),(72,1),(76,1),(122,1),(124,1),(128,1)}
        99:{2,5}:{(72,1),(124,1)}
       100:{1,2,5,7}:{(73,1),(74,1),(75,1),(114,1),(121,1),(125,1),(161,1)}
       101:{1,3,6}:{(74,1),(76,1),(122,1),(125,1),(152,1)}
       102:{2,3,6}:{(75,1),(76,1),(78,1),(125,1),(203,1)}
       103:{3,5,6}:{(76,1),(77,1),(117,1),(124,1),(128,1)}
       104:{2,5,6}:{(78,1),(79,1),(118,1)}
       105:{4,5,6}:{(79,1),(119,1),(128,1)}
       106:{2,6,7}:{(80,1),(81,1)}
       107:{3,5,6,7}:{(81,1),(82,1),(94,1),(130,1),(131,1),(168,1)}
       108:{1,5}:{(83,1),(85,1)}
       109:{3,5,7}:{(83,1),(84,1),(86,1),(132,1),(133,1)}
       110:{2,4,6}:{(84,1),(133,1),(134,1),(170,1)}
       111:{1,4,7}:{(85,1),(86,1),(89,1),(132,1)}
       112:{3,4,6,7}:{(86,1),(87,1),(91,1),(98,1),(133,1),(135,1),(136,1),(140,1),(170,1),(173,1),(195,1)}
       113:{2,5,7}:{(87,1),(99,1),(134,1),(136,1)}
       114:{1,2,7}:{(88,1),(89,1),(90,1)}
       115:{1,3,6,7}:{(89,1),(91,1),(101,1),(135,1),(137,1),(138,1),(195,1)}
       116:{2,3,6,7}:{(90,1),(91,1),(93,1),(102,1),(137,1),(139,1),(168,1)}
       117:{3,5,7}:{(91,1),(92,1),(103,1),(140,1)}
       118:{2,5,7}:{(93,1),(94,1),(104,1)}
       119:{4,5,7}:{(94,1),(105,1),(131,1),(140,1)}
       120:{1,3}:{(95,1)}
       121:{1,2,4,7}:{(95,1),(96,1),(97,1),(100,1),(142,1),(143,1)}
       122:{1,4,6}:{(96,1),(98,1),(101,1),(144,1)}
       123:{2,3,4,6}:{(97,1),(98,1),(102,1),(143,1),(145,1),(149,1),(180,1),(181,1),(199,1)}
       124:{3,5}:{(98,1),(99,1),(144,1),(146,1)}
       125:{1,2,6}:{(100,1),(101,1),(102,1)}
       126:{1,3,5,6}:{(101,1),(103,1),(138,1),(144,1),(147,1),(148,1),(169,1),(176,1),(178,1),(180,1),(195,1)}
       127:{2,3,5,6}:{(102,1),(103,1),(104,1),(139,1),(145,1),(147,1),(149,1),(150,1),(180,1)}
       128:{4,6}:{(103,1),(140,1),(146,1)}
       129:{2,4,5,6}:{(104,1),(105,1),(141,1),(149,1),(150,1)}
       130:{2,5,6,7}:{(106,1),(107,1),(118,1),(151,1)}
       131:{4,6,7}:{(107,1),(119,1)}
       132:{1,5,7}:{(108,1),(109,1),(111,1),(152,1)}
       133:{3,6}:{(109,1),(110,1),(152,1)}
       134:{2,5,6}:{(110,1),(113,1),(153,1),(203,1)}
       135:{1,4,6,7}:{(111,1),(112,1),(115,1),(122,1),(152,1),(154,1),(157,1),(184,1)}
       136:{3,5,7}:{(112,1),(113,1),(124,1),(153,1),(154,1),(155,1)}
       137:{1,2,6,7}:{(114,1),(115,1),(116,1),(125,1),(156,1),(183,1),(203,1)}
       138:{1,3,5,7}:{(115,1),(117,1),(126,1),(154,1),(156,1),(157,1),(185,1),(186,1)}
       139:{2,3,5,7}:{(116,1),(117,1),(118,1),(127,1),(156,1),(158,1),(159,1),(186,1)}
       140:{4,7}:{(117,1),(128,1)}
       141:{2,4,5,7}:{(118,1),(119,1),(129,1),(151,1),(158,1),(159,1)}
       142:{1,3,7}:{(120,1),(121,1),(160,1),(186,1)}
       143:{1,2,4,6}:{(121,1),(122,1),(123,1),(125,1),(160,1),(161,1),(189,1)}
       144:{1,5}:{(122,1),(124,1)}
       145:{2,3,5}:{(123,1),(124,1),(161,1),(163,1),(190,1),(191,1)}
       146:{4,5}:{(124,1),(128,1)}
       147:{1,2,5,6}:{(125,1),(126,1),(127,1),(156,1),(161,1),(164,1),(167,1),(191,1),(203,1)}
       148:{1,4,6}:{(126,1),(128,1),(157,1),(162,1),(165,1),(189,1)}
       149:{2,4,6}:{(127,1),(128,1),(158,1),(163,1),(166,1)}
       150:{3,5,6}:{(129,1),(159,1),(166,1),(167,1)}
       151:{2,4,6,7}:{(130,1),(131,1),(141,1),(168,1)}
       152:{1,6}:{(132,1),(133,1)}
       153:{3,5,6}:{(133,1),(134,1),(136,1),(169,1),(170,1),(195,1)}
       154:{1,5,7}:{(135,1),(136,1),(144,1),(169,1)}
       155:{4,5,7}:{(136,1),(140,1),(146,1),(170,1)}
       156:{1,2,5,7}:{(137,1),(138,1),(139,1),(147,1),(172,1),(175,1),(196,1)}
       157:{1,4,7}:{(138,1),(140,1),(148,1),(173,1)}
       158:{2,4,7}:{(139,1),(140,1),(149,1),(174,1)}
       159:{3,5,7}:{(141,1),(150,1),(168,1),(174,1),(175,1)}
       160:{1,3,6}:{(142,1),(143,1),(176,1),(180,1)}
       161:{1,2,5}:{(143,1),(144,1),(145,1),(176,1)}
       162:{1,4,5}:{(144,1),(146,1),(148,1),(178,1)}
       163:{2,4,5}:{(145,1),(146,1),(149,1),(179,1)}
       164:{1,2,4,6}:{(147,1),(148,1),(149,1),(172,1),(177,1),(180,1),(181,1),(182,1),(202,1)}
       165:{3,4,6}:{(148,1),(173,1),(178,1),(180,1),(181,1),(195,1),(199,1)}
       166:{3,4,6}:{(149,1),(150,1),(174,1),(179,1),(180,1),(182,1)}
       167:{1,5,6}:{(150,1),(175,1),(182,1)}
       168:{3,6,7}:{(151,1),(159,1),(183,1)}
       169:{1,5,6}:{(152,1),(153,1),(154,1),(184,1)}
       170:{4,6}:{(153,1),(155,1)}
       171:{1,4,5,7}:{(154,1),(155,1),(157,1),(162,1),(184,1),(185,1)}
       172:{1,2,4,7}:{(156,1),(157,1),(158,1),(164,1),(186,1),(187,1),(188,1),(204,1)}
       173:{3,4,7}:{(157,1),(165,1),(185,1),(186,1),(187,1)}
       174:{3,4,7}:{(158,1),(159,1),(166,1),(186,1),(188,1)}
       175:{1,5,7}:{(159,1),(167,1),(183,1),(188,1)}
       176:{1,3,5}:{(160,1),(161,1),(189,1),(190,1)}
       177:{1,2,4,5}:{(161,1),(162,1),(163,1),(164,1),(189,1),(190,1),(191,1),(192,1),(206,1),(207,1)}
       178:{3,5}:{(162,1),(165,1),(191,1)}
       179:{3,4,5}:{(163,1),(166,1),(190,1),(192,1)}
       180:{3,6}:{(164,1),(186,1),(190,1)}
       181:{2,4,6}:{(165,1),(187,1),(191,1),(194,1),(203,1),(206,1)}
       182:{1,4,6}:{(166,1),(167,1),(188,1),(192,1),(193,1)}
       183:{1,6,7}:{(168,1),(175,1)}
       184:{1,4,6}:{(169,1),(170,1),(171,1),(195,1)}
       185:{3,5,7}:{(171,1),(173,1),(178,1),(195,1),(196,1)}
       186:{3,7}:{(172,1),(180,1)}
       187:{2,4,7}:{(173,1),(181,1),(196,1),(198,1)}
       188:{1,4,7}:{(174,1),(175,1),(182,1),(197,1)}
       189:{1,4}:{(176,1),(199,1)}
       190:{3,5}:{(177,1),(180,1),(199,1)}
       191:{2,5}:{(178,1),(181,1)}
       192:{1,4,5}:{(179,1),(182,1),(200,1)}
       193:{1,3,6}:{(180,1),(182,1),(197,1),(200,1),(202,1)}
       194:{2,3,6}:{(180,1),(181,1),(198,1),(201,1),(202,1)}
       195:{3,6}:{(184,1),(185,1),(203,1)}
       196:{2,5,7}:{(185,1),(187,1),(191,1),(203,1)}
       197:{1,3,7}:{(186,1),(188,1),(193,1),(204,1)}
       198:{2,3,7}:{(186,1),(187,1),(194,1),(204,1)}
       199:{3,4}:{(189,1),(190,1),(206,1)}
       200:{1,3,5}:{(190,1),(192,1),(193,1),(205,1),(207,1)}
       201:{2,3,5}:{(190,1),(191,1),(194,1),(206,1),(207,1),(209,1)}
       202:{1,2,6}:{(193,1),(194,1),(204,1),(207,1)}
       203:{2,6}:{(195,1),(196,1)}
       204:{1,2,7}:{(197,1),(198,1),(202,1)}
       205:{1,3,4}:{(199,1),(200,1),(208,1)}
       206:{2,4}:{(199,1),(201,1)}
       207:{1,2,5}:{(200,1),(201,1),(202,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{2,3}:{(208,1)}

 704 :   0:{1,3,4,7}:{(2,1),(3,1),(4,1),(58,1),(73,1),(133,1),(175,1),(185,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(8,1),(34,1),(40,1),(50,1),(86,1),(104,1),(146,1),(152,1),(153,1)}
         2:{1,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(13,1),(34,1),(149,1),(193,1),(199,1)}
         3:{1,2,4,7}:{(0,1),(9,1),(11,1),(12,1),(42,1),(196,1)}
         4:{1,3,4,6}:{(0,1),(10,1),(12,1),(13,1),(47,1),(87,1),(103,1),(106,1),(162,1)}
         5:{2,3,4,7}:{(14,1),(15,1),(16,1),(58,1),(114,1),(138,1),(171,1),(203,1)}
         6:{1,4,5,7}:{(1,1),(2,1),(18,1),(28,1),(62,1),(73,1),(118,1),(174,1)}
         7:{2,4,5,7}:{(1,1),(14,1),(19,1),(57,1),(64,1),(77,1),(114,1),(136,1)}
         8:{3,4,6}:{(1,1),(18,1),(19,1),(21,1),(59,1),(122,1)}
         9:{1,2,5,7}:{(2,1),(3,1),(22,1),(23,1),(27,1),(177,1),(204,1)}
        10:{1,3,6}:{(2,1),(18,1),(23,1),(59,1),(206,1)}
        11:{2,3,7}:{(3,1),(26,1),(133,1),(205,1)}
        12:{1,2,4,6}:{(3,1),(4,1),(23,1),(26,1),(27,1),(68,1),(75,1)}
        13:{1,3,5}:{(4,1),(27,1),(28,1),(76,1),(120,1),(184,1)}
        14:{2,3,5,7}:{(5,1),(7,1),(29,1),(30,1),(33,1),(34,1),(108,1),(164,1),(208,1)}
        15:{1,2,4,7}:{(5,1),(29,1),(31,1),(32,1),(78,1),(166,1)}
        16:{2,3,4,6}:{(5,1),(30,1),(32,1),(33,1),(83,1),(87,1),(145,1),(148,1),(192,1)}
        17:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(29,1),(34,1),(35,1),(42,1),(49,1),(78,1),(85,1),(90,1),(99,1),(102,1),(141,1),(144,1),(152,1),(153,1),(159,1),(189,1),(199,1),(208,1)}
        18:{1,4,6}:{(6,1),(8,1),(10,1),(37,1)}
        19:{2,4,6}:{(7,1),(8,1),(30,1),(39,1)}
        20:{3,4,6,7}:{(8,1),(36,1),(38,1),(40,1),(88,1),(97,1),(104,1),(146,1),(153,1),(154,1),(156,1)}
        21:{3,5,6}:{(8,1),(37,1),(39,1),(40,1),(41,1)}
        22:{2,3,5,7}:{(9,1),(11,1),(34,1),(42,1),(43,1),(48,1),(99,1),(150,1),(194,1),(208,1)}
        23:{1,2,6}:{(9,1),(10,1),(43,1)}
        24:{1,3,6,7}:{(10,1),(36,1),(44,1),(46,1),(88,1),(154,1),(193,1)}
        25:{1,3,5,6}:{(10,1),(13,1),(37,1),(45,1),(46,1),(47,1),(89,1),(93,1),(103,1)}
        26:{2,3,6}:{(11,1),(12,1),(48,1),(103,1)}
        27:{1,2,5}:{(12,1),(13,1),(48,1),(99,1)}
        28:{1,4,5}:{(13,1),(47,1),(50,1),(152,1)}
        29:{1,2,5,7}:{(14,1),(15,1),(51,1),(52,1),(56,1),(139,1),(186,1)}
        30:{2,3,6}:{(14,1),(19,1),(52,1),(59,1),(209,1)}
        31:{1,3,7}:{(15,1),(55,1),(171,1),(187,1)}
        32:{1,2,4,6}:{(15,1),(16,1),(52,1),(55,1),(56,1),(109,1),(116,1)}
        33:{2,3,5}:{(16,1),(56,1),(57,1),(117,1),(120,1),(202,1)}
        34:{3,5,7}:{(17,1),(58,1),(59,1),(76,1),(117,1),(120,1),(133,1),(171,1)}
        35:{1,2,4,6}:{(17,1),(18,1),(19,1),(23,1),(52,1),(59,1),(61,1),(68,1),(109,1),(122,1),(182,1),(200,1),(206,1),(209,1)}
        36:{1,4,6,7}:{(18,1),(20,1),(24,1),(62,1),(73,1),(174,1),(181,1)}
        37:{1,5,6}:{(18,1),(21,1),(62,1)}
        38:{2,4,6,7}:{(19,1),(20,1),(53,1),(64,1),(114,1),(136,1),(180,1)}
        39:{2,5,6}:{(19,1),(21,1),(64,1)}
        40:{3,5,7}:{(20,1),(21,1),(62,1),(64,1),(67,1)}
        41:{4,5,6}:{(21,1),(67,1),(122,1)}
        42:{2,4,7}:{(22,1),(58,1),(68,1),(75,1),(176,1)}
        43:{2,3,6}:{(22,1),(23,1),(59,1),(68,1),(209,1)}
        44:{1,2,6,7}:{(23,1),(24,1),(69,1),(71,1),(180,1),(204,1),(206,1)}
        45:{1,2,5,6}:{(23,1),(25,1),(27,1),(70,1),(71,1),(72,1),(125,1),(184,1),(206,1)}
        46:{1,3,5,7}:{(24,1),(25,1),(62,1),(71,1),(73,1),(121,1),(124,1),(133,1)}
        47:{1,4,6}:{(25,1),(28,1),(73,1),(74,1),(122,1)}
        48:{2,3,5}:{(26,1),(27,1),(75,1),(76,1)}
        49:{1,2,4,5}:{(27,1),(28,1),(72,1),(75,1),(76,1),(77,1),(130,1),(137,1),(139,1),(184,1)}
        50:{3,4,5}:{(28,1),(74,1),(76,1),(77,1)}
        51:{1,3,5,7}:{(29,1),(31,1),(34,1),(78,1),(79,1),(84,1),(107,1),(141,1),(163,1),(199,1)}
        52:{1,2,6}:{(29,1),(30,1),(79,1)}
        53:{2,3,6,7}:{(30,1),(38,1),(80,1),(82,1),(88,1),(156,1),(164,1)}
        54:{2,3,5,6}:{(30,1),(33,1),(39,1),(81,1),(82,1),(83,1),(89,1),(96,1),(145,1)}
        55:{1,3,6}:{(31,1),(32,1),(84,1),(145,1)}
        56:{1,2,5}:{(32,1),(33,1),(84,1),(141,1)}
        57:{2,4,5}:{(33,1),(83,1),(86,1),(152,1)}
        58:{3,4,7}:{(34,1),(42,1),(78,1),(87,1),(106,1),(148,1),(153,1)}
        59:{3,6}:{(34,1),(35,1)}
        60:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(44,1),(80,1),(88,1),(90,1),(98,1),(102,1),(140,1),(144,1),(153,1)}
        61:{1,2,5,6}:{(35,1),(37,1),(39,1),(89,1),(90,1),(99,1),(141,1),(158,1),(188,1)}
        62:{1,5,7}:{(36,1),(37,1),(40,1)}
        63:{1,4,5,6}:{(37,1),(41,1),(47,1),(92,1),(93,1)}
        64:{2,5,7}:{(38,1),(39,1),(40,1)}
        65:{2,4,5,6}:{(39,1),(41,1),(83,1),(95,1),(96,1)}
        66:{3,5,6,7}:{(40,1),(91,1),(94,1),(97,1),(154,1),(156,1)}
        67:{4,5,7}:{(40,1),(41,1),(97,1),(153,1)}
        68:{2,4,6}:{(42,1),(43,1),(87,1),(99,1)}
        69:{2,3,6,7}:{(43,1),(44,1),(88,1),(98,1),(100,1),(194,1),(198,1)}
        70:{2,3,5,6}:{(43,1),(45,1),(48,1),(89,1),(99,1),(100,1),(101,1),(103,1),(158,1),(160,1),(198,1)}
        71:{1,2,5,7}:{(44,1),(45,1),(46,1),(100,1),(102,1),(155,1),(199,1)}
        72:{1,2,4,6}:{(45,1),(47,1),(49,1),(101,1),(102,1),(103,1),(105,1),(162,1),(165,1)}
        73:{1,4,7}:{(46,1),(47,1),(104,1),(153,1)}
        74:{3,4,6}:{(47,1),(50,1),(93,1),(103,1),(104,1),(105,1)}
        75:{2,4}:{(48,1),(106,1)}
        76:{3,5}:{(49,1),(103,1),(106,1)}
        77:{2,4,5}:{(50,1),(105,1),(108,1)}
        78:{1,4,7}:{(51,1),(58,1),(109,1),(116,1),(137,1)}
        79:{1,3,6}:{(51,1),(52,1),(59,1),(109,1),(206,1)}
        80:{1,2,6,7}:{(52,1),(53,1),(110,1),(112,1),(181,1),(186,1),(209,1)}
        81:{1,2,5,6}:{(52,1),(54,1),(56,1),(111,1),(112,1),(113,1),(128,1),(202,1),(209,1)}
        82:{2,3,5,7}:{(53,1),(54,1),(64,1),(112,1),(114,1),(121,1),(127,1),(171,1)}
        83:{2,4,6}:{(54,1),(57,1),(114,1),(115,1),(122,1)}
        84:{1,3,5}:{(55,1),(56,1),(116,1),(117,1)}
        85:{1,2,4,5}:{(56,1),(57,1),(113,1),(116,1),(117,1),(118,1),(168,1),(176,1),(177,1),(202,1)}
        86:{3,4,5}:{(57,1),(115,1),(117,1),(118,1)}
        87:{3,4,6}:{(58,1),(59,1),(68,1),(109,1),(120,1),(122,1)}
        88:{3,6,7}:{(59,1),(60,1),(121,1),(133,1),(171,1)}
        89:{3,5,6}:{(59,1),(61,1),(120,1),(121,1),(122,1)}
        90:{1,2,5,7}:{(60,1),(61,1),(62,1),(64,1),(121,1),(129,1),(167,1)}
        91:{1,5,6,7}:{(62,1),(66,1),(123,1),(181,1)}
        92:{1,4,5,7}:{(62,1),(63,1),(67,1),(73,1),(123,1),(124,1)}
        93:{3,5,6}:{(63,1),(74,1),(124,1),(125,1)}
        94:{2,5,6,7}:{(64,1),(66,1),(126,1),(180,1)}
        95:{2,4,5,7}:{(64,1),(65,1),(67,1),(114,1),(126,1),(127,1)}
        96:{3,5,6}:{(65,1),(115,1),(127,1),(128,1)}
        97:{4,6,7}:{(66,1),(67,1)}
        98:{2,4,6,7}:{(68,1),(69,1),(119,1),(129,1),(131,1),(182,1),(203,1),(209,1)}
        99:{2,5}:{(68,1),(120,1)}
       100:{2,3,5,7}:{(69,1),(70,1),(71,1),(121,1),(129,1),(131,1),(133,1),(183,1)}
       101:{2,4,6}:{(70,1),(75,1),(122,1),(130,1),(131,1),(132,1)}
       102:{1,2,4,7}:{(71,1),(72,1),(73,1),(131,1),(133,1),(136,1),(185,1),(186,1)}
       103:{3,6}:{(72,1),(76,1),(133,1)}
       104:{3,4,7}:{(73,1),(74,1),(124,1),(133,1),(136,1)}
       105:{2,4,6}:{(74,1),(77,1),(125,1),(135,1),(136,1)}
       106:{3,4}:{(75,1),(76,1),(137,1)}
       107:{1,3,5}:{(76,1),(134,1),(137,1),(139,1),(184,1),(187,1)}
       108:{2,3,5}:{(76,1),(77,1),(135,1),(138,1),(139,1)}
       109:{1,4,6}:{(78,1),(79,1),(87,1),(141,1)}
       110:{1,3,6,7}:{(79,1),(80,1),(88,1),(140,1),(142,1),(163,1),(207,1)}
       111:{1,3,5,6}:{(79,1),(81,1),(84,1),(89,1),(141,1),(142,1),(143,1),(145,1),(188,1),(190,1),(207,1)}
       112:{1,2,5,7}:{(80,1),(81,1),(82,1),(142,1),(144,1),(157,1),(208,1)}
       113:{1,2,4,6}:{(81,1),(83,1),(85,1),(143,1),(144,1),(145,1),(147,1),(192,1),(195,1)}
       114:{2,4,7}:{(82,1),(83,1),(146,1),(153,1)}
       115:{3,4,6}:{(83,1),(86,1),(96,1),(145,1),(146,1),(147,1)}
       116:{1,4}:{(84,1),(148,1)}
       117:{3,5}:{(85,1),(145,1),(148,1)}
       118:{1,4,5}:{(86,1),(147,1),(149,1)}
       119:{3,4,6,7}:{(87,1),(88,1),(98,1),(140,1),(151,1),(153,1),(161,1),(191,1),(197,1),(198,1),(207,1)}
       120:{3,5}:{(87,1),(99,1),(141,1),(152,1)}
       121:{3,5,7}:{(88,1),(89,1),(90,1),(153,1)}
       122:{4,6}:{(89,1),(152,1),(153,1)}
       123:{1,4,6,7}:{(91,1),(92,1),(97,1),(154,1)}
       124:{3,5,7}:{(92,1),(93,1),(104,1),(154,1),(155,1)}
       125:{2,5,6}:{(93,1),(105,1),(155,1)}
       126:{2,4,6,7}:{(94,1),(95,1),(97,1),(156,1)}
       127:{3,5,7}:{(95,1),(96,1),(146,1),(156,1),(157,1)}
       128:{1,5,6}:{(96,1),(147,1),(157,1)}
       129:{2,5,7}:{(98,1),(99,1),(151,1),(158,1)}
       130:{2,4,5}:{(99,1),(101,1),(152,1),(160,1)}
       131:{2,4,7}:{(100,1),(101,1),(153,1),(161,1)}
       132:{3,4,6}:{(101,1),(103,1),(106,1),(160,1),(161,1),(162,1),(198,1)}
       133:{3,7}:{(102,1),(103,1)}
       134:{1,3,6}:{(103,1),(107,1),(162,1),(163,1),(165,1)}
       135:{2,3,6}:{(103,1),(105,1),(108,1),(164,1),(165,1)}
       136:{2,4,7}:{(104,1),(105,1),(155,1),(164,1)}
       137:{1,4}:{(106,1),(107,1)}
       138:{2,3,4}:{(106,1),(108,1),(166,1)}
       139:{1,2,5}:{(107,1),(108,1),(165,1),(166,1)}
       140:{1,4,6,7}:{(109,1),(110,1),(119,1),(167,1),(169,1),(185,1),(200,1),(206,1)}
       141:{1,5}:{(109,1),(120,1)}
       142:{1,3,5,7}:{(110,1),(111,1),(112,1),(121,1),(167,1),(169,1),(171,1),(201,1)}
       143:{1,4,6}:{(111,1),(116,1),(122,1),(168,1),(169,1),(170,1)}
       144:{1,2,4,7}:{(112,1),(113,1),(114,1),(169,1),(171,1),(174,1),(203,1),(204,1)}
       145:{3,6}:{(113,1),(117,1),(171,1)}
       146:{3,4,7}:{(114,1),(115,1),(127,1),(171,1),(174,1)}
       147:{1,4,6}:{(115,1),(118,1),(128,1),(172,1),(174,1)}
       148:{3,4}:{(116,1),(117,1),(176,1)}
       149:{1,3,5}:{(117,1),(118,1),(172,1),(175,1),(177,1)}
       150:{2,3,5}:{(117,1),(173,1),(176,1),(177,1),(202,1),(205,1)}
       151:{3,5,7}:{(119,1),(120,1),(129,1),(167,1),(178,1),(179,1)}
       152:{4,5}:{(120,1),(122,1)}
       153:{4,7}:{(121,1),(122,1)}
       154:{3,6,7}:{(123,1),(124,1),(180,1)}
       155:{2,5,7}:{(124,1),(125,1),(136,1),(180,1)}
       156:{3,6,7}:{(126,1),(127,1),(181,1)}
       157:{1,5,7}:{(127,1),(128,1),(174,1),(181,1)}
       158:{2,5,6}:{(129,1),(178,1),(182,1),(209,1)}
       159:{2,4,5,7}:{(129,1),(130,1),(131,1),(179,1),(182,1),(183,1)}
       160:{3,5}:{(130,1),(132,1),(184,1)}
       161:{3,4,7}:{(131,1),(132,1),(133,1),(183,1),(185,1)}
       162:{1,4,6}:{(132,1),(134,1),(137,1),(184,1),(185,1),(206,1)}
       163:{1,3,7}:{(133,1),(134,1),(185,1),(186,1)}
       164:{2,3,7}:{(133,1),(135,1),(136,1),(186,1)}
       165:{1,2,6}:{(134,1),(135,1),(139,1),(186,1)}
       166:{1,2,4}:{(137,1),(138,1),(139,1),(187,1)}
       167:{1,5,7}:{(140,1),(141,1),(151,1),(188,1)}
       168:{1,4,5}:{(141,1),(143,1),(152,1),(190,1)}
       169:{1,4,7}:{(142,1),(143,1),(153,1),(191,1)}
       170:{3,4,6}:{(143,1),(145,1),(148,1),(190,1),(191,1),(192,1),(207,1)}
       171:{3,7}:{(144,1),(145,1)}
       172:{1,3,6}:{(145,1),(147,1),(149,1),(193,1),(195,1)}
       173:{2,3,6}:{(145,1),(150,1),(192,1),(194,1),(195,1)}
       174:{1,4,7}:{(146,1),(147,1),(157,1),(193,1)}
       175:{1,3,4}:{(148,1),(149,1),(196,1)}
       176:{2,4}:{(148,1),(150,1)}
       177:{1,2,5}:{(149,1),(150,1),(195,1),(196,1)}
       178:{3,5,6}:{(151,1),(158,1),(188,1),(197,1),(198,1),(207,1)}
       179:{4,5,7}:{(151,1),(152,1),(153,1),(197,1)}
       180:{2,6,7}:{(154,1),(155,1)}
       181:{1,6,7}:{(156,1),(157,1)}
       182:{2,4,6}:{(158,1),(159,1),(197,1),(198,1)}
       183:{3,5,7}:{(159,1),(160,1),(161,1),(198,1),(199,1)}
       184:{1,5}:{(160,1),(162,1)}
       185:{1,4,7}:{(161,1),(162,1),(163,1),(199,1)}
       186:{1,2,7}:{(163,1),(164,1),(165,1)}
       187:{1,3}:{(166,1)}
       188:{1,5,6}:{(167,1),(178,1),(200,1),(206,1)}
       189:{1,4,5,7}:{(167,1),(168,1),(169,1),(179,1),(200,1),(201,1)}
       190:{3,5}:{(168,1),(170,1),(202,1)}
       191:{3,4,7}:{(169,1),(170,1),(171,1),(201,1),(203,1)}
       192:{2,4,6}:{(170,1),(173,1),(176,1),(202,1),(203,1),(209,1)}
       193:{1,3,7}:{(171,1),(172,1),(174,1),(204,1)}
       194:{2,3,7}:{(171,1),(173,1),(203,1),(204,1)}
       195:{1,2,6}:{(172,1),(173,1),(177,1),(204,1)}
       196:{1,2,4}:{(175,1),(176,1),(177,1),(205,1)}
       197:{4,6}:{(178,1),(179,1)}
       198:{3,6}:{(182,1),(183,1),(206,1)}
       199:{1,5,7}:{(183,1),(184,1),(185,1),(206,1)}
       200:{1,4,6}:{(188,1),(189,1),(197,1),(207,1)}
       201:{3,5,7}:{(189,1),(190,1),(191,1),(207,1),(208,1)}
       202:{2,5}:{(190,1),(192,1)}
       203:{2,4,7}:{(191,1),(192,1),(194,1),(208,1)}
       204:{1,2,7}:{(193,1),(194,1),(195,1)}
       205:{2,3}:{(196,1)}
       206:{1,6}:{(198,1),(199,1)}
       207:{3,6}:{(200,1),(201,1),(209,1)}
       208:{2,5,7}:{(201,1),(202,1),(203,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

 705 :  0:{1,3,4}:{(2,1),(3,1),(47,1)}
        1:{3,4,5}:{(6,1),(7,1),(8,1),(33,1),(71,1)}
        2:{1,3,5}:{(0,1),(7,1),(9,1),(10,1),(33,1)}
        3:{1,2,4}:{(0,1),(10,1),(11,1),(36,1)}
        4:{2,3,4}:{(12,1),(13,1),(47,1)}
        5:{4,5,6}:{(14,1),(15,1),(63,1),(83,1)}
        6:{3,4,6}:{(1,1),(14,1),(16,1),(17,1),(18,1),(45,1),(63,1)}
        7:{1,4,5}:{(1,1),(2,1),(16,1)}
        8:{2,4,5}:{(1,1),(12,1),(17,1)}
        9:{1,3,6}:{(2,1),(16,1),(20,1),(21,1),(45,1)}
       10:{1,2,5}:{(2,1),(3,1),(20,1),(22,1)}
       11:{2,3}:{(3,1)}
       12:{2,3,5}:{(4,1),(8,1),(23,1),(24,1),(33,1)}
       13:{1,2,4}:{(4,1),(24,1),(25,1),(52,1)}
       14:{3,5,6}:{(5,1),(6,1),(26,1),(27,1),(28,1)}
       15:{4,5,7}:{(5,1),(28,1),(29,1),(72,1),(82,1)}
       16:{1,4,6}:{(6,1),(7,1),(9,1),(26,1),(31,1)}
       17:{2,4,6}:{(6,1),(8,1),(23,1),(27,1),(32,1)}
       18:{3,4,7}:{(6,1),(28,1),(31,1),(32,1),(58,1),(72,1)}
       19:{1,2,4,5}:{(7,1),(8,1),(10,1),(24,1),(30,1),(33,1),(36,1),(52,1),(59,1),(69,1),(71,1)}
       20:{1,2,6}:{(9,1),(10,1),(34,1),(35,1)}
       21:{1,3,7}:{(9,1),(31,1),(35,1),(58,1)}
       22:{2,3,5}:{(10,1),(11,1),(33,1),(34,1),(36,1),(59,1)}
       23:{2,3,6}:{(12,1),(17,1),(37,1),(38,1),(45,1)}
       24:{1,2,5}:{(12,1),(13,1),(37,1),(39,1)}
       25:{1,3}:{(13,1)}
       26:{1,5,6}:{(14,1),(16,1),(41,1)}
       27:{2,5,6}:{(14,1),(17,1),(42,1)}
       28:{3,5,7}:{(14,1),(15,1),(18,1),(41,1),(42,1),(43,1)}
       29:{4,6,7}:{(15,1),(43,1),(44,1)}
       30:{1,2,4,6}:{(16,1),(17,1),(19,1),(20,1),(37,1),(40,1),(45,1),(46,1),(48,1),(61,1),(63,1)}
       31:{1,4,7}:{(16,1),(18,1),(21,1),(41,1)}
       32:{2,4,7}:{(17,1),(18,1),(38,1),(42,1)}
       33:{3,5}:{(19,1),(45,1),(47,1)}
       34:{2,3,6}:{(20,1),(22,1),(45,1),(48,1),(49,1)}
       35:{1,2,7}:{(20,1),(21,1),(49,1)}
       36:{2,4}:{(22,1),(47,1)}
       37:{1,2,6}:{(23,1),(24,1),(50,1),(51,1)}
       38:{2,3,7}:{(23,1),(32,1),(51,1),(58,1)}
       39:{1,3,5}:{(24,1),(25,1),(33,1),(50,1),(52,1),(69,1)}
       40:{1,2,5,6}:{(26,1),(27,1),(30,1),(53,1),(54,1),(59,1),(69,1),(75,1),(80,1)}
       41:{1,5,7}:{(26,1),(28,1),(31,1),(55,1)}
       42:{2,5,7}:{(27,1),(28,1),(32,1),(56,1)}
       43:{3,6,7}:{(28,1),(29,1),(55,1),(56,1)}
       44:{5,6,7}:{(29,1),(82,1)}
       45:{3,6}:{(30,1),(33,1),(58,1)}
       46:{1,2,4,7}:{(30,1),(31,1),(32,1),(35,1),(51,1),(54,1),(58,1),(60,1),(70,1),(72,1)}
       47:{3,4}:{(33,1),(36,1),(52,1)}
       48:{2,4,6}:{(34,1),(36,1),(57,1),(59,1),(60,1),(75,1)}
       49:{2,3,7}:{(34,1),(35,1),(58,1),(60,1)}
       50:{1,3,6}:{(37,1),(39,1),(45,1),(61,1),(62,1)}
       51:{1,2,7}:{(37,1),(38,1),(62,1)}
       52:{1,4}:{(39,1),(47,1)}
       53:{3,5,6}:{(40,1),(45,1),(63,1),(64,1),(66,1),(79,1),(83,1)}
       54:{1,2,5,7}:{(40,1),(41,1),(42,1),(46,1),(64,1),(65,1),(68,1),(76,1)}
       55:{1,6,7}:{(41,1),(43,1)}
       56:{2,6,7}:{(42,1),(43,1)}
       57:{3,4,6}:{(45,1),(47,1),(48,1),(61,1),(63,1),(66,1),(67,1),(79,1)}
       58:{3,7}:{(45,1),(46,1)}
       59:{2,5}:{(48,1),(66,1)}
       60:{2,4,7}:{(48,1),(49,1),(67,1),(68,1)}
       61:{1,4,6}:{(50,1),(52,1),(57,1),(69,1),(70,1),(80,1)}
       62:{1,3,7}:{(50,1),(51,1),(58,1),(70,1)}
       63:{4,6}:{(53,1),(71,1),(72,1)}
       64:{3,5,7}:{(53,1),(54,1),(58,1),(72,1),(73,1),(82,1)}
       65:{1,2,6,7}:{(54,1),(55,1),(56,1),(73,1),(75,1),(80,1)}
       66:{3,5}:{(57,1),(59,1),(69,1),(71,1)}
       67:{3,4,7}:{(57,1),(58,1),(60,1),(70,1),(72,1),(74,1)}
       68:{2,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{1,5}:{(61,1),(66,1)}
       70:{1,4,7}:{(61,1),(62,1),(67,1),(76,1)}
       71:{4,5}:{(63,1),(66,1)}
       72:{4,7}:{(63,1),(64,1)}
       73:{3,6,7}:{(64,1),(65,1),(78,1),(79,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(77,1),(79,1)}
       75:{2,6}:{(68,1),(79,1)}
       76:{1,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,5,7}:{(71,1),(72,1),(74,1),(81,1),(82,1)}
       78:{4,6,7}:{(72,1),(73,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(81,1)}
       80:{1,6}:{(76,1),(79,1)}
       81:{4,6}:{(77,1),(79,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 706 :   0:{1,2,3}:{(4,1)}
         1:{1,3,4}:{(4,1),(5,1),(18,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(8,1),(9,1),(14,1),(30,1),(32,1),(35,1)}
         3:{3,4,5}:{(10,1),(11,1),(12,1),(32,1),(68,1)}
         4:{1,2,4}:{(0,1),(1,1),(13,1),(14,1)}
         5:{1,3,5}:{(1,1),(11,1),(14,1),(15,1),(32,1)}
         6:{1,2,3}:{(16,1)}
         7:{2,3,4}:{(16,1),(17,1),(18,1)}
         8:{1,2,4}:{(2,1),(18,1)}
         9:{1,2,3,6}:{(2,1),(20,1),(21,1),(27,1),(47,1),(50,1)}
        10:{2,4,5}:{(3,1),(17,1),(22,1)}
        11:{1,4,5}:{(3,1),(5,1),(23,1)}
        12:{3,4,6}:{(3,1),(22,1),(23,1),(24,1),(25,1),(50,1),(81,1)}
        13:{2,3,4}:{(4,1),(18,1),(26,1)}
        14:{1,2,5}:{(4,1),(5,1),(26,1),(27,1)}
        15:{1,3,6}:{(5,1),(23,1),(27,1),(28,1),(50,1)}
        16:{1,2,4}:{(6,1),(7,1),(29,1),(30,1)}
        17:{2,3,5}:{(7,1),(10,1),(30,1),(31,1),(32,1)}
        18:{3,4}:{(8,1),(32,1)}
        19:{1,2,4,5}:{(8,1),(10,1),(11,1),(14,1),(30,1),(32,1),(34,1),(35,1),(43,1),(62,1),(68,1)}
        20:{1,2,4,6}:{(8,1),(9,1),(33,1),(35,1),(36,1),(71,1)}
        21:{1,2,3,7}:{(9,1),(36,1),(45,1),(64,1),(67,1)}
        22:{2,4,6}:{(10,1),(12,1),(31,1),(37,1),(38,1)}
        23:{1,4,6}:{(11,1),(12,1),(15,1),(39,1),(40,1)}
        24:{3,5,6}:{(12,1),(37,1),(39,1),(41,1),(42,1)}
        25:{3,4,7}:{(12,1),(38,1),(40,1),(42,1),(67,1),(92,1)}
        26:{2,3,5}:{(13,1),(14,1),(32,1),(43,1),(44,1)}
        27:{1,2,6}:{(14,1),(15,1),(44,1),(45,1)}
        28:{1,3,7}:{(15,1),(40,1),(45,1),(67,1)}
        29:{1,3,4}:{(16,1),(18,1),(46,1)}
        30:{1,2,5}:{(16,1),(17,1),(46,1),(47,1)}
        31:{2,3,6}:{(17,1),(22,1),(47,1),(48,1),(50,1)}
        32:{3,5}:{(18,1),(19,1),(50,1)}
        33:{3,4,6}:{(18,1),(20,1),(50,1),(51,1),(52,1),(81,1),(84,1)}
        34:{1,2,4,6}:{(19,1),(22,1),(23,1),(27,1),(47,1),(50,1),(53,1),(54,1),(60,1),(77,1),(81,1)}
        35:{1,2,5}:{(20,1),(51,1)}
        36:{1,2,4,7}:{(20,1),(21,1),(52,1),(55,1)}
        37:{2,5,6}:{(22,1),(24,1),(56,1)}
        38:{2,4,7}:{(22,1),(25,1),(48,1),(56,1)}
        39:{1,5,6}:{(23,1),(24,1),(57,1)}
        40:{1,4,7}:{(23,1),(25,1),(28,1),(57,1)}
        41:{4,5,6}:{(24,1),(58,1),(81,1),(100,1)}
        42:{3,5,7}:{(24,1),(25,1),(56,1),(57,1),(58,1),(59,1)}
        43:{2,4,5}:{(26,1),(49,1),(60,1)}
        44:{2,3,6}:{(26,1),(27,1),(50,1),(60,1),(61,1)}
        45:{1,2,7}:{(27,1),(28,1),(61,1)}
        46:{1,3,5}:{(29,1),(30,1),(32,1),(62,1),(63,1)}
        47:{1,2,6}:{(30,1),(31,1),(63,1),(64,1)}
        48:{2,3,7}:{(31,1),(38,1),(64,1),(67,1)}
        49:{3,4,5}:{(32,1),(43,1),(62,1),(65,1),(68,1)}
        50:{3,6}:{(32,1),(34,1),(67,1)}
        51:{3,5}:{(33,1),(35,1),(68,1)}
        52:{3,4,7}:{(33,1),(36,1),(67,1),(69,1),(92,1)}
        53:{1,2,5,6}:{(34,1),(35,1),(37,1),(39,1),(66,1),(70,1),(71,1),(75,1),(88,1)}
        54:{1,2,4,7}:{(34,1),(38,1),(40,1),(45,1),(64,1),(67,1),(70,1),(76,1),(89,1),(92,1)}
        55:{1,2,5,7}:{(35,1),(36,1),(69,1),(71,1)}
        56:{2,5,7}:{(37,1),(38,1),(42,1),(72,1)}
        57:{1,5,7}:{(39,1),(40,1),(42,1),(73,1)}
        58:{4,5,7}:{(41,1),(42,1),(74,1),(92,1),(103,1)}
        59:{3,6,7}:{(42,1),(72,1),(73,1),(74,1)}
        60:{2,4,6}:{(43,1),(44,1),(65,1),(75,1),(76,1)}
        61:{2,3,7}:{(44,1),(45,1),(67,1),(76,1)}
        62:{1,4,5}:{(46,1),(49,1),(77,1)}
        63:{1,3,6}:{(46,1),(47,1),(50,1),(77,1),(78,1)}
        64:{1,2,7}:{(47,1),(48,1),(78,1)}
        65:{3,4,6}:{(49,1),(50,1),(60,1),(77,1),(79,1),(80,1),(81,1)}
        66:{3,5,6}:{(50,1),(51,1),(53,1),(81,1),(82,1),(84,1),(100,1)}
        67:{3,7}:{(50,1),(54,1)}
        68:{4,5}:{(51,1),(81,1)}
        69:{3,5,7}:{(51,1),(52,1),(55,1),(83,1),(84,1)}
        70:{1,2,5,7}:{(53,1),(54,1),(56,1),(57,1),(82,1),(85,1),(87,1),(96,1)}
        71:{1,2,6}:{(55,1),(84,1)}
        72:{2,6,7}:{(56,1),(59,1)}
        73:{1,6,7}:{(57,1),(59,1)}
        74:{4,6,7}:{(58,1),(59,1),(86,1)}
        75:{2,5,6}:{(60,1),(79,1),(87,1)}
        76:{2,4,7}:{(60,1),(61,1),(80,1),(87,1)}
        77:{1,4,6}:{(62,1),(63,1),(65,1),(88,1),(89,1)}
        78:{1,3,7}:{(63,1),(64,1),(67,1),(89,1)}
        79:{3,5,6}:{(65,1),(75,1),(88,1),(90,1),(91,1)}
        80:{3,4,7}:{(65,1),(67,1),(76,1),(89,1),(91,1),(92,1)}
        81:{4,6}:{(66,1),(68,1),(92,1)}
        82:{3,5,7}:{(66,1),(67,1),(70,1),(92,1),(93,1),(103,1)}
        83:{4,5,7}:{(68,1),(69,1),(92,1),(94,1),(103,1)}
        84:{3,6}:{(69,1),(71,1),(94,1)}
        85:{1,2,6,7}:{(70,1),(71,1),(72,1),(73,1),(93,1),(95,1),(101,1)}
        86:{5,6,7}:{(74,1),(103,1)}
        87:{2,5,7}:{(75,1),(76,1),(91,1),(95,1)}
        88:{1,5,6}:{(77,1),(79,1),(96,1)}
        89:{1,4,7}:{(77,1),(78,1),(80,1),(96,1)}
        90:{4,5,6}:{(79,1),(81,1),(97,1),(100,1)}
        91:{3,5,7}:{(79,1),(80,1),(87,1),(96,1),(97,1),(98,1)}
        92:{4,7}:{(81,1),(82,1)}
        93:{3,6,7}:{(82,1),(84,1),(85,1),(99,1)}
        94:{4,6}:{(83,1),(84,1),(100,1)}
        95:{2,6,7}:{(87,1),(98,1)}
        96:{1,5,7}:{(88,1),(89,1),(91,1),(101,1)}
        97:{4,5,7}:{(90,1),(91,1),(92,1),(102,1),(103,1)}
        98:{3,6,7}:{(91,1),(95,1),(101,1),(102,1)}
        99:{4,6,7}:{(92,1),(93,1),(94,1),(103,1)}
       100:{5,6}:{(94,1),(103,1)}
       101:{1,6,7}:{(96,1),(98,1)}
       102:{4,6,7}:{(97,1),(98,1),(104,1)}
       103:{5,7}:{(99,1),(100,1)}
       104:{5,6,7}:{(102,1),(103,1)}

 707 :   0:{1,3,5,7}:{(3,1),(4,1),(5,1),(6,1),(22,1),(26,1),(51,1)}
         1:{1,4,5,7}:{(4,1),(6,1),(7,1),(9,1),(26,1),(30,1),(53,1)}
         2:{1,4,6,7}:{(7,1),(8,1),(9,1),(30,1)}
         3:{1,2,5,7}:{(0,1),(10,1),(11,1),(12,1),(15,1),(37,1),(57,1)}
         4:{1,4,7}:{(0,1),(13,1),(14,1),(65,1),(68,1)}
         5:{1,3,6}:{(0,1),(12,1),(14,1),(16,1),(36,1),(99,1)}
         6:{3,5,7}:{(1,1),(13,1),(15,1),(16,1),(39,1)}
         7:{1,4,6}:{(1,1),(16,1),(17,1),(41,1)}
         8:{3,6,7}:{(2,1),(16,1),(18,1),(19,1)}
         9:{1,5,7}:{(2,1),(17,1),(19,1),(68,1)}
        10:{2,3,5,7}:{(3,1),(20,1),(21,1),(22,1),(43,1),(47,1),(51,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(20,1),(22,1),(23,1),(24,1),(45,1),(48,1)}
        12:{1,2,6}:{(3,1),(5,1),(21,1),(27,1),(71,1),(103,1)}
        13:{3,4,7}:{(4,1),(6,1),(22,1),(24,1),(25,1),(30,1),(55,1)}
        14:{1,4,6}:{(4,1),(5,1),(25,1),(26,1),(79,1),(95,1)}
        15:{2,5,7}:{(6,1),(24,1),(27,1),(52,1)}
        16:{3,6}:{(6,1),(7,1),(27,1)}
        17:{1,5,6}:{(7,1),(9,1),(26,1),(28,1),(79,1)}
        18:{2,6,7}:{(8,1),(27,1),(29,1)}
        19:{3,5,7}:{(8,1),(9,1),(28,1),(29,1),(30,1),(55,1)}
        20:{2,4,7}:{(10,1),(32,1),(33,1),(65,1),(104,1)}
        21:{2,3,6}:{(10,1),(12,1),(33,1),(36,1),(58,1),(100,1)}
        22:{3,7}:{(11,1),(36,1)}
        23:{1,2,4,6}:{(11,1),(12,1),(14,1),(33,1),(36,1),(37,1),(38,1),(60,1),(62,1),(65,1),(85,1)}
        24:{2,4,7}:{(13,1),(15,1),(35,1),(38,1)}
        25:{3,4,6}:{(13,1),(14,1),(16,1),(36,1),(38,1),(39,1),(41,1),(65,1),(67,1),(87,1)}
        26:{1,5}:{(14,1),(39,1)}
        27:{2,6}:{(15,1),(16,1)}
        28:{3,5,6}:{(16,1),(17,1),(19,1),(39,1),(40,1),(41,1),(67,1)}
        29:{2,5,7}:{(18,1),(19,1),(40,1),(42,1)}
        30:{4,7}:{(19,1),(41,1)}
        31:{2,4,5,7}:{(20,1),(43,1),(44,1),(47,1),(70,1),(74,1),(90,1)}
        32:{3,4,7}:{(20,1),(22,1),(43,1),(45,1),(46,1),(90,1),(101,1)}
        33:{2,4,6}:{(20,1),(21,1),(46,1),(47,1),(94,1),(102,1)}
        34:{1,3,7}:{(22,1),(45,1),(48,1),(49,1),(101,1)}
        35:{2,3,7}:{(22,1),(24,1),(48,1),(50,1),(55,1)}
        36:{3,6}:{(22,1),(23,1),(51,1),(93,1)}
        37:{1,2,5}:{(23,1),(26,1),(47,1),(51,1),(52,1),(73,1)}
        38:{2,4,6}:{(24,1),(25,1),(27,1),(50,1),(52,1),(77,1)}
        39:{3,5}:{(25,1),(26,1),(52,1),(53,1)}
        40:{2,5,6}:{(27,1),(28,1),(29,1),(52,1),(54,1)}
        41:{4,6}:{(28,1),(30,1),(53,1)}
        42:{2,4,7}:{(29,1),(30,1),(54,1),(55,1)}
        43:{3,5,7}:{(31,1),(32,1),(57,1),(58,1),(61,1)}
        44:{2,4,6}:{(31,1),(58,1),(59,1),(83,1)}
        45:{1,4,7}:{(32,1),(34,1),(57,1),(60,1)}
        46:{3,4,6}:{(32,1),(33,1),(36,1),(58,1),(60,1),(61,1),(65,1),(83,1),(86,1),(97,1)}
        47:{2,5}:{(33,1),(61,1)}
        48:{1,2,7}:{(34,1),(35,1),(62,1),(68,1),(104,1)}
        49:{1,3,6}:{(34,1),(36,1),(60,1),(62,1),(63,1),(97,1)}
        50:{2,3,6}:{(35,1),(36,1),(38,1),(62,1),(64,1),(67,1)}
        51:{3,5}:{(36,1),(37,1),(65,1)}
        52:{2,5}:{(38,1),(39,1)}
        53:{4,5}:{(39,1),(41,1),(65,1)}
        54:{2,4,6}:{(40,1),(41,1),(42,1),(66,1),(67,1)}
        55:{3,7}:{(42,1),(67,1),(68,1)}
        56:{2,4,6,7}:{(44,1),(69,1),(70,1),(90,1)}
        57:{1,5,7}:{(43,1),(45,1),(71,1),(73,1)}
        58:{3,6}:{(43,1),(44,1),(71,1)}
        59:{2,5,6}:{(44,1),(47,1),(70,1),(72,1),(102,1)}
        60:{1,4,6}:{(45,1),(46,1),(49,1),(71,1),(73,1),(76,1)}
        61:{3,5}:{(46,1),(47,1),(73,1),(74,1)}
        62:{1,2,6}:{(48,1),(49,1),(50,1),(75,1),(79,1),(102,1)}
        63:{1,3,5}:{(49,1),(51,1),(73,1),(75,1),(76,1),(92,1),(93,1)}
        64:{2,3,5}:{(50,1),(51,1),(52,1),(75,1),(77,1),(78,1),(93,1)}
        65:{4}:{(51,1)}
        66:{2,4,5}:{(52,1),(53,1),(54,1),(77,1),(78,1)}
        67:{3,6}:{(54,1),(55,1),(78,1),(79,1)}
        68:{1,7}:{(55,1),(79,1)}
        69:{3,6,7}:{(56,1),(58,1),(80,1),(81,1)}
        70:{2,5,7}:{(56,1),(59,1),(81,1),(104,1)}
        71:{1,6}:{(57,1),(58,1)}
        72:{3,5,6}:{(58,1),(59,1),(61,1),(81,1),(82,1),(83,1),(97,1)}
        73:{1,5}:{(60,1),(61,1)}
        74:{4,5}:{(61,1),(65,1),(83,1)}
        75:{1,2,5}:{(62,1),(63,1),(64,1),(85,1),(88,1),(98,1)}
        76:{1,4}:{(63,1),(65,1),(86,1)}
        77:{2,4}:{(64,1),(65,1),(87,1)}
        78:{3,5}:{(66,1),(67,1),(87,1),(88,1)}
        79:{1,6}:{(67,1),(68,1),(88,1)}
        80:{1,6,7}:{(69,1),(71,1),(89,1)}
        81:{3,5,7}:{(69,1),(70,1),(72,1),(89,1),(90,1),(101,1)}
        82:{1,5,6}:{(71,1),(72,1),(73,1),(89,1),(91,1)}
        83:{4,6}:{(72,1),(74,1),(90,1)}
        84:{1,4,5}:{(73,1),(74,1),(76,1),(91,1),(92,1)}
        85:{1,2,4}:{(75,1),(76,1),(77,1),(93,1),(94,1),(95,1),(103,1)}
        86:{3,4}:{(76,1),(92,1),(93,1),(94,1)}
        87:{3,4}:{(77,1),(78,1),(93,1),(95,1)}
        88:{1,5}:{(78,1),(79,1),(95,1)}
        89:{1,5,7}:{(80,1),(81,1),(82,1),(96,1)}
        90:{4,7}:{(81,1),(83,1)}
        91:{1,4,6}:{(82,1),(83,1),(84,1),(96,1),(97,1)}
        92:{3,5}:{(84,1),(86,1),(97,1),(98,1)}
        93:{3}:{(85,1)}
        94:{2,4}:{(86,1),(98,1),(100,1)}
        95:{1,4}:{(87,1),(88,1),(99,1)}
        96:{1,4,7}:{(89,1),(90,1),(91,1),(101,1)}
        97:{3,6}:{(91,1),(92,1),(101,1),(102,1)}
        98:{2,5}:{(92,1),(94,1),(102,1)}
        99:{1,3}:{(93,1),(95,1),(103,1)}
       100:{2,3}:{(93,1),(94,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{2,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{2,7}:{(101,1),(102,1)}

 708 :   0:{2,3,4,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1),(52,1),(56,1),(84,1),(90,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(69,1),(100,1),(104,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(37,1),(72,1),(101,1)}
         3:{1,3,6,7}:{(1,1),(8,1),(29,1),(113,1),(117,1)}
         4:{1,2,5,7}:{(1,1),(2,1),(8,1),(9,1),(53,1),(114,1)}
         5:{2,3,5,6}:{(2,1),(9,1),(11,1),(29,1),(32,1)}
         6:{2,4,5,7}:{(2,1),(11,1),(12,1),(84,1),(87,1)}
         7:{2,3,5,6,7}:{(5,1),(13,1),(14,1),(36,1),(37,1),(68,1),(120,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(18,1),(125,1)}
         9:{1,2,5,6}:{(4,1),(5,1),(15,1),(17,1),(47,1),(72,1)}
        10:{1,2,4,5,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(21,1),(39,1),(42,1),(46,1),(72,1),(100,1),(102,1)}
        11:{2,4,6}:{(5,1),(6,1),(20,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(66,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(9,1),(22,1),(23,1),(53,1),(81,1),(85,1),(108,1)}
        14:{2,4,6,7}:{(7,1),(11,1),(24,1),(25,1),(84,1),(129,1)}
        15:{1,3,5,6}:{(8,1),(9,1),(26,1),(29,1),(54,1)}
        16:{1,4,7}:{(8,1),(26,1),(27,1),(132,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(11,1),(26,1),(29,1),(33,1),(56,1),(61,1)}
        18:{3,5,7}:{(10,1),(27,1),(29,1),(54,1),(113,1),(115,1)}
        19:{2,4,5,6}:{(11,1),(24,1),(32,1)}
        20:{3,4,6}:{(11,1),(12,1),(29,1),(32,1),(33,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(33,1),(53,1),(83,1),(86,1)}
        22:{1,3,5,6,7}:{(13,1),(15,1),(34,1),(36,1),(63,1),(67,1),(93,1)}
        23:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(38,1),(65,1),(69,1),(100,1),(119,1)}
        24:{2,4,5,7}:{(14,1),(19,1),(37,1),(135,1)}
        25:{3,4,6,7}:{(14,1),(20,1),(36,1),(37,1),(38,1),(66,1),(134,1)}
        26:{1,4,6}:{(15,1),(16,1),(39,1),(40,1)}
        27:{3,4,7}:{(16,1),(18,1),(40,1),(42,1),(126,1)}
        28:{1,2,4,5,6}:{(17,1),(19,1),(35,1),(39,1),(43,1),(47,1),(62,1),(72,1),(75,1),(76,1),(77,1),(94,1),(102,1),(119,1),(135,1),(139,1)}
        29:{3,6}:{(17,1),(18,1)}
        30:{1,3,5,7}:{(18,1),(21,1),(41,1),(44,1),(46,1),(71,1)}
        31:{2,3,5,7}:{(18,1),(42,1),(45,1),(46,1),(72,1),(74,1),(103,1)}
        32:{3,5,6}:{(19,1),(20,1),(37,1),(47,1)}
        33:{1,4,6}:{(20,1),(21,1),(44,1),(47,1)}
        34:{1,4,6,7}:{(22,1),(26,1),(48,1),(49,1),(83,1),(106,1)}
        35:{1,2,4,5,7}:{(23,1),(24,1),(28,1),(48,1),(50,1),(53,1),(81,1),(83,1),(84,1),(85,1)}
        36:{3,6,7}:{(23,1),(29,1),(50,1),(113,1),(128,1)}
        37:{3,5,7}:{(24,1),(25,1),(32,1),(53,1),(138,1)}
        38:{1,4,6,7}:{(25,1),(33,1),(51,1),(53,1),(83,1),(137,1)}
        39:{1,4,5}:{(26,1),(54,1)}
        40:{3,4,6}:{(26,1),(27,1),(29,1),(54,1),(56,1)}
        41:{1,3,4,7}:{(27,1),(30,1),(55,1),(57,1),(83,1),(113,1)}
        42:{2,4,7}:{(27,1),(31,1),(56,1),(116,1)}
        43:{3,5,6}:{(28,1),(29,1),(50,1),(54,1),(58,1),(115,1),(128,1),(138,1)}
        44:{1,3,6}:{(29,1),(30,1),(33,1),(61,1)}
        45:{2,3,6}:{(29,1),(31,1),(56,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(57,1),(61,1),(88,1)}
        47:{1,5,6}:{(32,1),(33,1),(53,1)}
        48:{1,4,5,7}:{(34,1),(39,1),(62,1),(63,1)}
        49:{3,4,6,7}:{(34,1),(36,1),(40,1),(63,1),(65,1),(66,1),(92,1)}
        50:{3,5,7}:{(35,1),(36,1),(43,1),(66,1)}
        51:{1,3,6,7}:{(36,1),(38,1),(44,1),(67,1),(69,1),(133,1)}
        52:{2,3,6,7}:{(36,1),(45,1),(65,1),(68,1),(69,1),(118,1)}
        53:{1,5,7}:{(37,1),(38,1),(47,1),(139,1)}
        54:{3,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,6}:{(40,1),(41,1),(44,1),(71,1),(73,1),(75,1),(105,1),(126,1)}
        56:{2,4,6}:{(40,1),(42,1),(45,1),(72,1)}
        57:{1,2,4,7}:{(41,1),(42,1),(46,1),(73,1),(74,1)}
        58:{3,4,6}:{(43,1),(66,1),(70,1),(75,1),(76,1),(105,1),(126,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(47,1),(67,1),(71,1),(75,1),(77,1),(105,1),(125,1),(133,1),(139,1)}
        60:{2,3,5,6}:{(43,1),(45,1),(68,1),(72,1),(76,1),(77,1),(94,1),(101,1),(103,1),(105,1),(118,1)}
        61:{1,2,6}:{(44,1),(45,1),(46,1)}
        62:{1,4,5,6}:{(48,1),(78,1),(106,1)}
        63:{3,5,7}:{(48,1),(49,1),(54,1),(78,1),(81,1)}
        64:{1,3,4,6,7}:{(49,1),(51,1),(55,1),(80,1),(82,1),(83,1),(106,1),(113,1),(128,1),(131,1),(137,1)}
        65:{2,4,6,7}:{(49,1),(52,1),(56,1),(81,1),(84,1),(107,1)}
        66:{3,4,7}:{(50,1),(58,1),(83,1),(84,1),(113,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(59,1),(83,1),(85,1),(113,1)}
        68:{2,3,5,7}:{(50,1),(52,1),(60,1),(81,1),(84,1),(85,1),(113,1)}
        69:{1,2,6,7}:{(51,1),(52,1),(61,1),(85,1),(127,1)}
        70:{3,4,5}:{(54,1),(58,1),(86,1),(87,1),(115,1),(138,1)}
        71:{1,3,5}:{(54,1),(55,1),(86,1),(88,1),(115,1)}
        72:{2,5}:{(54,1),(56,1)}
        73:{1,2,4,6}:{(55,1),(56,1),(57,1),(61,1),(88,1),(89,1),(116,1)}
        74:{2,3,7}:{(57,1),(89,1),(113,1)}
        75:{1,4,6}:{(58,1),(59,1),(83,1),(86,1),(132,1)}
        76:{2,4,6}:{(58,1),(60,1),(84,1),(87,1),(116,1)}
        77:{1,2,5,6}:{(59,1),(60,1),(61,1),(85,1),(88,1),(91,1),(114,1),(127,1)}
        78:{3,5,6}:{(62,1),(63,1),(92,1),(94,1)}
        79:{3,4,5,7}:{(63,1),(66,1),(70,1),(92,1),(95,1),(96,1),(122,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(71,1),(93,1),(95,1),(97,1),(122,1),(139,1)}
        81:{2,5,7}:{(63,1),(65,1),(72,1),(94,1)}
        82:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(73,1),(97,1),(98,1),(100,1),(119,1),(123,1)}
        83:{1,4,7}:{(66,1),(67,1),(75,1)}
        84:{2,4,7}:{(66,1),(68,1),(76,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(77,1),(100,1)}
        86:{1,4,5}:{(70,1),(71,1),(75,1),(139,1)}
        87:{2,4,5}:{(70,1),(72,1),(76,1),(101,1)}
        88:{1,2,5}:{(71,1),(72,1),(73,1),(103,1)}
        89:{2,3,6}:{(73,1),(74,1),(103,1),(105,1)}
        90:{2,3,4,6}:{(76,1),(99,1),(101,1),(104,1),(105,1),(118,1),(126,1),(134,1)}
        91:{1,2,4,6}:{(75,1),(76,1),(77,1),(100,1),(102,1),(105,1)}
        92:{3,4,6}:{(78,1),(79,1),(106,1),(107,1),(128,1)}
        93:{1,3,5,6}:{(78,1),(80,1),(106,1),(108,1),(128,1)}
        94:{2,5,6}:{(78,1),(81,1),(107,1)}
        95:{1,4,5,7}:{(79,1),(80,1),(83,1),(86,1),(106,1)}
        96:{2,4,5,7}:{(79,1),(81,1),(84,1),(87,1),(107,1),(109,1)}
        97:{1,2,5,7}:{(80,1),(81,1),(82,1),(88,1),(108,1),(111,1)}
        98:{2,3,6,7}:{(82,1),(89,1),(111,1),(113,1),(128,1)}
        99:{2,3,4,7}:{(84,1),(90,1),(109,1),(112,1),(113,1),(131,1)}
       100:{1,2,4,7}:{(83,1),(84,1),(85,1),(91,1),(113,1)}
       101:{2,3,5}:{(87,1),(90,1),(114,1),(115,1),(138,1)}
       102:{1,2,4,5}:{(86,1),(87,1),(88,1),(91,1),(114,1),(115,1),(116,1),(132,1)}
       103:{2,3,5}:{(88,1),(89,1),(115,1),(116,1)}
       104:{1,2,4,6}:{(90,1),(112,1),(114,1),(117,1),(127,1),(132,1),(137,1)}
       105:{3,6}:{(91,1),(113,1),(115,1)}
       106:{1,4,6}:{(92,1),(93,1),(95,1)}
       107:{2,4,6}:{(92,1),(94,1),(96,1),(118,1)}
       108:{1,2,5,6}:{(93,1),(94,1),(97,1),(119,1),(120,1),(139,1)}
       109:{2,3,5,7}:{(96,1),(99,1),(101,1),(118,1),(121,1),(122,1)}
       110:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(100,1),(102,1),(119,1),(121,1),(122,1),(123,1),(135,1),(136,1),(139,1)}
       111:{2,3,5,7}:{(97,1),(98,1),(103,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,7}:{(99,1),(104,1),(121,1),(124,1),(136,1)}
       113:{3,7}:{(100,1),(105,1)}
       114:{1,2,5}:{(101,1),(104,1),(125,1),(139,1)}
       115:{3,5}:{(102,1),(105,1),(126,1)}
       116:{2,4}:{(103,1),(126,1)}
       117:{1,3,6}:{(104,1),(105,1),(124,1),(125,1)}
       118:{2,3,6}:{(107,1),(109,1),(127,1),(128,1)}
       119:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(127,1),(128,1),(129,1),(137,1)}
       120:{2,3,5,6}:{(108,1),(111,1),(128,1),(129,1),(138,1)}
       121:{1,2,5,7}:{(109,1),(112,1),(114,1),(127,1),(130,1)}
       122:{3,5,7}:{(110,1),(113,1),(115,1),(128,1),(131,1),(138,1)}
       123:{2,4,7}:{(111,1),(116,1),(129,1),(131,1)}
       124:{1,3,7}:{(112,1),(113,1),(117,1)}
       125:{1,3,5}:{(114,1),(115,1),(117,1),(132,1)}
       126:{3,4}:{(115,1),(116,1),(132,1)}
       127:{1,2,6}:{(118,1),(121,1),(133,1)}
       128:{3,6}:{(119,1),(122,1)}
       129:{2,4,6}:{(120,1),(123,1),(134,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(124,1),(125,1),(133,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(126,1),(134,1),(136,1)}
       132:{1,4}:{(125,1),(126,1)}
       133:{1,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{3,4,6}:{(128,1),(129,1),(131,1),(137,1),(138,1)}
       135:{2,4,5}:{(129,1),(138,1)}
       136:{1,4,7}:{(130,1),(131,1),(132,1),(137,1)}
       137:{1,4,6}:{(133,1),(134,1),(136,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

 709 :   0:{2,3,5,6,7}:{(1,1),(2,1),(10,1),(11,1),(28,1),(35,1),(108,1)}
         1:{1,2,5,6,7}:{(0,1),(3,1),(4,1),(22,1),(46,1),(50,1),(54,1),(88,1)}
         2:{2,4,6,7}:{(0,1),(5,1),(6,1),(45,1),(53,1),(124,1)}
         3:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(30,1),(34,1),(64,1),(66,1)}
         4:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(10,1),(12,1),(32,1),(36,1),(63,1),(74,1),(107,1)}
         5:{2,4,5,7}:{(2,1),(7,1),(11,1),(133,1)}
         6:{3,4,6,7}:{(2,1),(10,1),(11,1),(12,1),(26,1),(33,1),(132,1)}
         7:{2,4,5,6}:{(5,1),(15,1),(45,1)}
         8:{1,4,6,7}:{(3,1),(16,1),(17,1),(52,1),(85,1),(86,1)}
         9:{1,2,4,5,7}:{(4,1),(5,1),(14,1),(16,1),(18,1),(22,1),(50,1),(52,1),(53,1),(54,1)}
        10:{3,6,7}:{(4,1),(18,1),(84,1),(94,1),(123,1)}
        11:{3,5,7}:{(5,1),(6,1),(15,1),(22,1),(138,1)}
        12:{1,4,6,7}:{(6,1),(19,1),(22,1),(44,1),(52,1),(137,1)}
        13:{2,3,4,6,7}:{(6,1),(20,1),(23,1),(24,1),(45,1),(53,1),(81,1),(84,1),(94,1),(96,1),(120,1)}
        14:{1,2,4,5,6}:{(7,1),(9,1),(25,1),(27,1),(29,1),(59,1),(60,1),(61,1),(63,1),(67,1),(99,1),(105,1),(107,1),(130,1),(133,1),(139,1)}
        15:{3,5,6}:{(7,1),(11,1),(26,1),(27,1)}
        16:{1,4,5,7}:{(8,1),(29,1),(30,1),(105,1)}
        17:{3,4,6,7}:{(8,1),(10,1),(30,1),(32,1),(33,1),(65,1),(104,1)}
        18:{3,5,7}:{(9,1),(10,1),(25,1),(33,1)}
        19:{1,3,6,7}:{(10,1),(12,1),(34,1),(36,1),(62,1),(131,1)}
        20:{2,3,6,7}:{(10,1),(32,1),(35,1),(36,1),(103,1),(106,1)}
        21:{3,4,5,7}:{(11,1),(26,1),(33,1),(37,1),(38,1),(58,1),(76,1)}
        22:{1,5,7}:{(11,1),(12,1),(27,1),(139,1)}
        23:{2,3,5,7}:{(11,1),(13,1),(28,1),(38,1),(39,1),(76,1),(98,1),(130,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(36,1),(39,1),(40,1),(63,1),(74,1),(77,1),(101,1)}
        25:{3,5,6}:{(14,1),(18,1),(41,1),(84,1),(117,1),(121,1),(123,1),(138,1)}
        26:{3,4,6}:{(15,1),(21,1),(44,1),(45,1),(84,1)}
        27:{1,5,6}:{(15,1),(22,1),(44,1)}
        28:{2,3,5,6}:{(15,1),(23,1),(45,1),(46,1),(84,1)}
        29:{1,4,5,6}:{(16,1),(47,1),(86,1)}
        30:{3,5,7}:{(16,1),(17,1),(47,1),(50,1),(121,1)}
        31:{1,3,4,6,7}:{(17,1),(19,1),(49,1),(51,1),(52,1),(80,1),(86,1),(94,1),(123,1),(126,1),(137,1)}
        32:{2,4,6,7}:{(17,1),(20,1),(50,1),(53,1),(87,1),(120,1)}
        33:{3,4,7}:{(18,1),(41,1),(52,1),(53,1),(94,1)}
        34:{1,3,5,7}:{(18,1),(19,1),(22,1),(42,1),(52,1),(54,1),(94,1)}
        35:{2,3,5,7}:{(18,1),(20,1),(43,1),(50,1),(53,1),(54,1),(94,1)}
        36:{1,2,6,7}:{(19,1),(20,1),(54,1),(83,1),(122,1)}
        37:{1,4,5,7}:{(21,1),(22,1),(44,1),(52,1),(55,1),(78,1)}
        38:{2,4,5,7}:{(21,1),(23,1),(45,1),(53,1),(79,1)}
        39:{1,2,5,7}:{(22,1),(23,1),(24,1),(46,1),(57,1),(116,1)}
        40:{1,3,6,7}:{(24,1),(57,1),(84,1),(94,1),(119,1)}
        41:{3,4,6}:{(25,1),(33,1),(58,1),(59,1),(60,1),(102,1),(129,1)}
        42:{1,3,5,6}:{(25,1),(27,1),(34,1),(59,1),(61,1),(62,1),(97,1),(102,1),(128,1),(131,1),(139,1)}
        43:{2,3,5,6}:{(25,1),(35,1),(60,1),(61,1),(67,1),(98,1),(102,1),(103,1),(106,1),(127,1),(130,1)}
        44:{1,4,6}:{(26,1),(27,1),(37,1),(62,1)}
        45:{2,4,6}:{(26,1),(28,1),(38,1)}
        46:{1,2,5,6}:{(27,1),(28,1),(39,1),(63,1),(64,1),(130,1)}
        47:{3,5,6}:{(29,1),(30,1),(65,1),(67,1)}
        48:{3,4,5,7}:{(30,1),(33,1),(58,1),(65,1),(68,1),(69,1),(110,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(66,1),(68,1),(70,1),(97,1),(110,1),(139,1)}
        50:{2,5,7}:{(30,1),(32,1),(67,1),(130,1)}
        51:{1,2,4,6,7}:{(31,1),(32,1),(36,1),(70,1),(71,1),(74,1),(100,1),(107,1),(111,1)}
        52:{1,4,7}:{(33,1),(34,1),(59,1)}
        53:{2,4,7}:{(33,1),(35,1),(60,1)}
        54:{1,2,5,7}:{(34,1),(35,1),(36,1),(61,1),(74,1)}
        55:{1,3,5,7}:{(37,1),(62,1),(72,1),(75,1),(76,1),(97,1)}
        56:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(63,1),(74,1),(75,1),(76,1),(77,1),(99,1),(105,1),(114,1),(130,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(64,1),(76,1),(77,1),(128,1)}
        58:{3,4,5}:{(41,1),(78,1),(79,1),(117,1),(121,1),(138,1)}
        59:{1,4,6}:{(41,1),(42,1),(52,1),(78,1),(136,1)}
        60:{2,4,6}:{(41,1),(43,1),(53,1),(79,1),(135,1)}
        61:{1,2,5,6}:{(42,1),(43,1),(54,1),(82,1),(83,1),(115,1),(116,1),(122,1)}
        62:{1,3,6}:{(44,1),(55,1),(83,1),(84,1)}
        63:{1,2,4,6}:{(44,1),(45,1),(46,1),(56,1),(83,1),(84,1),(85,1),(120,1)}
        64:{1,3,5,6}:{(46,1),(57,1),(84,1),(85,1),(121,1)}
        65:{3,4,6}:{(47,1),(48,1),(86,1),(87,1),(123,1)}
        66:{1,3,5,6}:{(47,1),(49,1),(86,1),(88,1),(123,1)}
        67:{2,5,6}:{(47,1),(50,1),(87,1)}
        68:{1,4,5,7}:{(48,1),(49,1),(52,1),(78,1),(86,1)}
        69:{2,4,5,7}:{(48,1),(50,1),(53,1),(79,1),(87,1),(89,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(51,1),(88,1),(91,1),(115,1)}
        71:{2,3,6,7}:{(51,1),(91,1),(94,1),(118,1),(123,1)}
        72:{1,3,4,7}:{(52,1),(55,1),(80,1),(92,1),(94,1),(96,1)}
        73:{2,3,4,7}:{(53,1),(81,1),(89,1),(93,1),(94,1),(126,1)}
        74:{1,2,4,7}:{(52,1),(53,1),(54,1),(82,1),(94,1)}
        75:{1,2,5,7}:{(55,1),(83,1),(92,1),(95,1),(115,1)}
        76:{3,5,7}:{(56,1),(84,1),(94,1),(96,1),(117,1),(121,1)}
        77:{1,4,7}:{(57,1),(85,1),(96,1),(136,1)}
        78:{1,4,5}:{(58,1),(59,1),(97,1),(139,1)}
        79:{2,4,5}:{(58,1),(60,1),(98,1),(130,1)}
        80:{1,3,4,6}:{(59,1),(62,1),(72,1),(97,1),(100,1),(102,1),(104,1),(129,1)}
        81:{2,3,4,6}:{(60,1),(73,1),(98,1),(101,1),(102,1),(106,1),(129,1),(132,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(61,1),(74,1),(99,1),(102,1)}
        83:{1,2,6}:{(62,1),(75,1),(103,1)}
        84:{3,6}:{(63,1),(76,1)}
        85:{1,4,6}:{(64,1),(77,1),(104,1),(105,1)}
        86:{1,4,6}:{(65,1),(66,1),(68,1)}
        87:{2,4,6}:{(65,1),(67,1),(69,1),(106,1)}
        88:{1,2,5,6}:{(66,1),(67,1),(70,1),(107,1),(108,1),(139,1)}
        89:{2,3,5,7}:{(69,1),(73,1),(98,1),(106,1),(109,1),(110,1)}
        90:{1,2,4,5,7}:{(68,1),(69,1),(70,1),(74,1),(99,1),(107,1),(109,1),(110,1),(111,1),(133,1),(134,1),(139,1)}
        91:{2,3,5,7}:{(70,1),(71,1),(108,1),(110,1),(111,1),(127,1)}
        92:{1,2,4,7}:{(72,1),(75,1),(100,1),(112,1),(114,1)}
        93:{1,2,4,7}:{(73,1),(101,1),(109,1),(113,1),(134,1)}
        94:{3,7}:{(74,1),(102,1)}
        95:{2,3,5,7}:{(75,1),(76,1),(103,1),(112,1),(114,1),(127,1),(130,1)}
        96:{3,4,7}:{(76,1),(77,1),(104,1),(114,1),(129,1)}
        97:{1,3,5}:{(78,1),(80,1),(115,1),(117,1),(121,1)}
        98:{2,3,5}:{(79,1),(81,1),(116,1),(117,1),(138,1)}
        99:{1,2,4,5}:{(78,1),(79,1),(82,1),(115,1),(116,1),(117,1),(135,1),(136,1)}
       100:{1,2,4,6}:{(80,1),(83,1),(92,1),(115,1),(118,1),(120,1),(135,1)}
       101:{1,2,4,6}:{(81,1),(93,1),(116,1),(119,1),(122,1),(136,1),(137,1)}
       102:{3,6}:{(82,1),(94,1),(117,1)}
       103:{2,3,6}:{(83,1),(84,1),(95,1),(120,1)}
       104:{3,4,6}:{(84,1),(85,1),(96,1),(120,1),(121,1)}
       105:{1,4,5}:{(85,1),(121,1)}
       106:{2,3,6}:{(87,1),(89,1),(122,1),(123,1)}
       107:{1,2,4,6}:{(86,1),(87,1),(88,1),(90,1),(122,1),(123,1),(124,1),(137,1)}
       108:{2,3,5,6}:{(88,1),(91,1),(123,1),(124,1),(138,1)}
       109:{1,2,5,7}:{(89,1),(93,1),(116,1),(122,1),(125,1)}
       110:{3,5,7}:{(90,1),(94,1),(117,1),(123,1),(126,1),(138,1)}
       111:{2,4,7}:{(91,1),(124,1),(126,1),(135,1)}
       112:{2,3,7}:{(92,1),(94,1),(118,1)}
       113:{1,3,7}:{(93,1),(94,1),(119,1)}
       114:{2,4,7}:{(95,1),(96,1),(120,1),(135,1)}
       115:{1,2,5}:{(97,1),(100,1),(127,1),(130,1)}
       116:{1,2,5}:{(98,1),(101,1),(128,1),(139,1)}
       117:{3,5}:{(99,1),(102,1),(129,1)}
       118:{2,3,6}:{(100,1),(102,1),(112,1),(127,1)}
       119:{1,3,6}:{(101,1),(102,1),(113,1),(128,1)}
       120:{2,4,6}:{(103,1),(104,1),(114,1),(130,1)}
       121:{3,5}:{(104,1),(105,1),(130,1)}
       122:{1,2,6}:{(106,1),(109,1),(131,1)}
       123:{3,6}:{(107,1),(110,1)}
       124:{2,4,6}:{(108,1),(111,1),(132,1),(133,1)}
       125:{1,3,5,7}:{(109,1),(110,1),(113,1),(128,1),(131,1),(134,1),(139,1)}
       126:{3,4,7}:{(110,1),(111,1),(129,1),(132,1),(134,1)}
       127:{2,3,5}:{(115,1),(117,1),(118,1),(135,1)}
       128:{1,3,5}:{(116,1),(117,1),(119,1),(136,1)}
       129:{3,4}:{(117,1),(135,1),(136,1)}
       130:{2,5}:{(120,1),(121,1)}
       131:{1,3,6}:{(122,1),(123,1),(125,1),(137,1)}
       132:{3,4,6}:{(123,1),(124,1),(126,1),(137,1),(138,1)}
       133:{2,4,5}:{(124,1),(138,1)}
       134:{1,4,7}:{(125,1),(126,1),(136,1),(137,1)}
       135:{2,4}:{(127,1),(129,1)}
       136:{1,4}:{(128,1),(129,1)}
       137:{1,4,6}:{(131,1),(132,1),(134,1),(139,1)}
       138:{3,5}:{(132,1),(133,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

 710 :   0:{2,4,5,6,7}:{(1,1),(7,1),(177,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(193,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(175,1)}
         3:{1,5,6,7}:{(1,1),(6,1),(203,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(19,1),(23,1),(133,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(12,1),(190,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(156,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(15,1),(31,1),(65,1),(108,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(41,1),(167,1),(175,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,6,7}:{(6,1),(18,1),(21,1),(23,1),(171,1)}
        13:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(23,1),(38,1),(46,1),(48,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(21,1),(23,1),(24,1),(48,1),(129,1)}
        15:{1,3,5,6,7}:{(8,1),(23,1),(24,1),(45,1),(50,1),(87,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(25,1),(182,1),(190,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(26,1),(156,1),(185,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(25,1),(28,1),(30,1),(32,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(26,1),(31,1),(32,1),(65,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(32,1),(36,1),(61,1),(62,1),(65,1)}
        21:{1,2,6,7}:{(12,1),(30,1),(33,1),(148,1)}
        22:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(54,1),(62,1)}
        23:{3,6,7}:{(14,1),(32,1),(154,1)}
        24:{1,4,6,7}:{(15,1),(35,1),(36,1),(62,1),(105,1)}
        25:{1,3,5,6}:{(16,1),(18,1),(37,1),(39,1),(41,1),(161,1),(171,1)}
        26:{2,3,5,6}:{(17,1),(19,1),(38,1),(40,1),(41,1),(86,1),(164,1)}
        27:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(39,1),(40,1),(41,1),(51,1),(73,1),(74,1),(86,1),(118,1),(129,1)}
        28:{1,3,4,7}:{(18,1),(37,1),(42,1),(46,1)}
        29:{2,3,4,5,7}:{(19,1),(38,1),(43,1),(46,1),(75,1),(81,1),(125,1),(128,1),(132,1),(164,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(39,1),(42,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(40,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(41,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(48,1),(124,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(71,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(48,1),(50,1),(83,1)}
        36:{1,4,5,7}:{(24,1),(50,1),(51,1)}
        37:{1,3,4,6}:{(25,1),(28,1),(52,1),(53,1),(57,1)}
        38:{2,3,4,6}:{(26,1),(29,1),(54,1),(57,1),(104,1),(154,1),(156,1)}
        39:{1,2,5,6}:{(25,1),(30,1),(53,1),(55,1),(138,1),(148,1)}
        40:{1,2,5,6}:{(26,1),(31,1),(54,1),(56,1),(141,1)}
        41:{3,5,6}:{(27,1),(32,1),(57,1),(143,1),(154,1)}
        42:{1,2,4,7}:{(28,1),(30,1),(53,1),(58,1),(61,1)}
        43:{1,2,4,5,7}:{(29,1),(31,1),(54,1),(59,1),(62,1),(96,1),(100,1),(141,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(55,1),(58,1),(61,1),(65,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(56,1),(62,1)}
        46:{3,4,7}:{(32,1),(57,1),(61,1),(62,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(60,1),(64,1),(92,1),(148,1),(154,1),(191,1),(192,1)}
        48:{2,4,6,7}:{(33,1),(35,1),(61,1),(65,1),(104,1)}
        49:{1,3,4,6,7}:{(34,1),(35,1),(62,1),(64,1),(66,1),(93,1),(102,1),(105,1),(154,1)}
        50:{3,5,7}:{(35,1),(36,1),(65,1),(67,1)}
        51:{1,4,5,6}:{(36,1),(67,1),(105,1)}
        52:{1,3,4,5}:{(37,1),(69,1),(75,1),(158,1),(161,1)}
        53:{1,2,4,6}:{(37,1),(39,1),(42,1),(69,1),(70,1),(73,1)}
        54:{1,2,4,6}:{(38,1),(40,1),(43,1),(71,1),(74,1)}
        55:{2,3,5,6}:{(39,1),(41,1),(44,1),(70,1),(73,1),(86,1),(114,1),(124,1)}
        56:{1,3,5,6}:{(40,1),(41,1),(45,1),(71,1),(74,1),(116,1)}
        57:{3,4,6}:{(41,1),(46,1),(73,1),(74,1),(75,1)}
        58:{2,3,7}:{(42,1),(70,1)}
        59:{1,3,5,7}:{(43,1),(71,1),(79,1),(116,1),(128,1)}
        60:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(72,1),(76,1),(80,1),(85,1),(123,1),(128,1),(199,1),(201,1)}
        61:{2,4,7}:{(44,1),(46,1),(73,1)}
        62:{1,4,7}:{(45,1),(46,1),(74,1)}
        63:{3,4,5,7}:{(46,1),(50,1),(75,1),(81,1),(82,1),(83,1),(128,1)}
        64:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(80,1),(84,1),(85,1),(115,1),(129,1),(204,1)}
        65:{2,5,7}:{(48,1),(50,1),(86,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(82,1),(85,1),(87,1),(116,1),(128,1)}
        67:{3,5,6}:{(50,1),(51,1),(83,1),(86,1)}
        68:{1,4,5,6,7}:{(51,1),(88,1),(131,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(89,1),(95,1),(135,1),(138,1)}
        70:{2,3,6}:{(53,1),(58,1),(89,1)}
        71:{1,3,6}:{(54,1),(59,1),(154,1)}
        72:{1,2,3,5,6}:{(55,1),(56,1),(60,1),(90,1),(92,1),(94,1),(108,1),(138,1),(141,1),(143,1),(148,1),(154,1),(183,1),(186,1)}
        73:{2,4,6}:{(55,1),(57,1),(61,1),(95,1)}
        74:{1,4,6}:{(56,1),(57,1),(62,1),(96,1)}
        75:{3,4,5}:{(57,1),(95,1),(96,1),(143,1)}
        76:{1,2,3,7}:{(58,1),(90,1),(98,1),(206,1)}
        77:{2,3,4,7}:{(58,1),(61,1),(91,1),(98,1),(99,1),(102,1)}
        78:{1,2,3,5,7}:{(59,1),(92,1),(100,1),(141,1),(150,1)}
        79:{1,3,4,7}:{(59,1),(62,1),(93,1),(100,1),(102,1)}
        80:{1,2,4,7}:{(60,1),(61,1),(62,1),(94,1),(102,1),(207,1),(208,1)}
        81:{2,4,5,7}:{(61,1),(63,1),(65,1),(95,1),(99,1),(104,1)}
        82:{1,4,5,7}:{(62,1),(63,1),(66,1),(96,1),(105,1)}
        83:{3,4,6}:{(63,1),(67,1),(104,1),(105,1),(154,1)}
        84:{2,3,4,6,7}:{(64,1),(102,1),(107,1),(140,1),(154,1),(156,1),(192,1),(194,1),(208,1)}
        85:{1,2,5,7}:{(64,1),(65,1),(66,1),(107,1),(108,1),(141,1),(209,1)}
        86:{2,5,6}:{(65,1),(67,1),(104,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(105,1),(108,1),(154,1)}
        88:{3,5,6,7}:{(67,1),(68,1),(106,1),(109,1)}
        89:{2,3,5}:{(69,1),(70,1),(112,1)}
        90:{1,2,3,6}:{(70,1),(76,1),(111,1),(113,1),(196,1)}
        91:{2,3,4,6}:{(70,1),(73,1),(77,1),(112,1),(113,1),(114,1),(117,1),(124,1)}
        92:{1,2,3,6}:{(71,1),(78,1),(115,1),(173,1)}
        93:{1,3,4,6}:{(71,1),(74,1),(79,1),(115,1),(116,1),(117,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(80,1),(117,1),(118,1),(198,1),(200,1)}
        95:{2,4,5}:{(73,1),(75,1),(114,1)}
        96:{1,4,5}:{(74,1),(75,1),(116,1)}
        97:{3,4,5,6}:{(75,1),(83,1),(119,1),(120,1),(121,1),(168,1)}
        98:{1,2,4,7}:{(76,1),(77,1),(113,1),(122,1),(123,1)}
        99:{2,3,5,7}:{(77,1),(81,1),(114,1),(123,1),(124,1),(128,1)}
       100:{1,2,4,7}:{(78,1),(79,1),(115,1),(125,1)}
       101:{1,3,4,5,7}:{(79,1),(82,1),(116,1),(126,1),(127,1),(128,1),(166,1),(167,1),(170,1),(202,1)}
       102:{3,4,7}:{(80,1),(117,1),(128,1)}
       103:{1,2,4,5,7}:{(80,1),(81,1),(82,1),(85,1),(118,1),(123,1),(128,1),(129,1),(132,1),(170,1)}
       104:{2,4,6}:{(81,1),(83,1),(86,1),(124,1)}
       105:{1,4,6}:{(82,1),(83,1),(87,1)}
       106:{3,4,6,7}:{(83,1),(88,1),(121,1),(130,1),(131,1),(176,1)}
       107:{2,3,5,7}:{(84,1),(85,1),(128,1),(132,1),(133,1),(164,1),(205,1)}
       108:{1,2,5,6}:{(85,1),(86,1),(87,1),(129,1),(133,1),(203,1)}
       109:{2,5,6,7}:{(86,1),(88,1),(130,1)}
       110:{1,3,5,6,7}:{(87,1),(88,1),(131,1),(134,1),(166,1),(176,1)}
       111:{1,2,3,5}:{(89,1),(90,1),(135,1),(138,1),(179,1)}
       112:{2,3,4}:{(89,1),(135,1)}
       113:{1,2,4,6}:{(90,1),(91,1),(98,1),(135,1),(137,1),(138,1),(148,1)}
       114:{2,3,5}:{(91,1),(95,1),(138,1),(143,1)}
       115:{1,2,4,6}:{(92,1),(93,1),(100,1),(140,1),(141,1)}
       116:{1,3,5}:{(93,1),(96,1),(141,1),(143,1)}
       117:{3,4,6}:{(94,1),(102,1),(143,1),(154,1)}
       118:{1,2,4,5}:{(94,1),(95,1),(96,1),(138,1),(141,1),(143,1),(182,1),(185,1)}
       119:{2,4,5,6}:{(95,1),(97,1),(104,1),(139,1),(145,1)}
       120:{1,4,5,6}:{(96,1),(97,1),(105,1),(142,1),(146,1)}
       121:{3,4,5,7}:{(97,1),(106,1),(145,1),(146,1),(189,1)}
       122:{1,3,4,7}:{(98,1),(102,1),(137,1),(147,1),(206,1),(207,1)}
       123:{1,2,5,7}:{(98,1),(99,1),(138,1),(147,1),(148,1)}
       124:{2,3,6}:{(99,1),(104,1),(148,1),(154,1)}
       125:{2,3,4,7}:{(100,1),(102,1),(140,1),(150,1),(208,1)}
       126:{1,2,4,5,7}:{(100,1),(101,1),(141,1),(150,1),(151,1),(185,1),(187,1),(208,1)}
       127:{1,3,4,6}:{(101,1),(105,1),(142,1),(151,1),(154,1),(188,1),(190,1)}
       128:{3,5,7}:{(102,1),(103,1),(143,1),(154,1)}
       129:{1,2,4,6}:{(103,1),(104,1),(105,1),(108,1),(148,1),(154,1),(156,1),(190,1)}
       130:{2,4,6,7}:{(104,1),(106,1),(109,1),(145,1),(149,1)}
       131:{1,4,6,7}:{(105,1),(106,1),(110,1),(146,1)}
       132:{2,4,5,7}:{(107,1),(153,1),(156,1),(185,1),(208,1)}
       133:{2,3,5,6}:{(107,1),(108,1),(154,1),(156,1),(193,1)}
       134:{1,2,5,6,7}:{(108,1),(109,1),(110,1),(155,1),(157,1),(187,1),(209,1)}
       135:{1,2,4}:{(111,1),(112,1),(158,1)}
       136:{2,3,4,5}:{(112,1),(114,1),(159,1),(160,1),(167,1)}
       137:{1,3,4,6}:{(113,1),(117,1),(122,1),(158,1),(161,1),(171,1),(196,1),(198,1)}
       138:{1,2,5}:{(113,1),(114,1),(161,1)}
       139:{2,3,5,6}:{(114,1),(119,1),(124,1),(160,1),(162,1),(163,1),(168,1)}
       140:{2,3,4,6}:{(115,1),(117,1),(125,1),(164,1),(173,1),(200,1)}
       141:{1,2,5}:{(115,1),(116,1),(164,1)}
       142:{1,3,5,6}:{(116,1),(120,1),(127,1),(165,1),(166,1),(168,1),(203,1)}
       143:{3,5}:{(117,1),(118,1)}
       144:{1,2,4,5,6}:{(118,1),(119,1),(120,1),(129,1),(162,1),(165,1),(168,1),(169,1),(177,1),(198,1),(200,1),(203,1)}
       145:{2,4,5,7}:{(119,1),(121,1),(130,1),(163,1)}
       146:{1,4,5,7}:{(120,1),(121,1),(131,1),(166,1)}
       147:{1,3,5,7}:{(122,1),(123,1),(128,1),(161,1),(170,1),(171,1)}
       148:{1,2,6}:{(123,1),(124,1),(171,1)}
       149:{2,3,6,7}:{(124,1),(130,1),(163,1),(172,1),(176,1)}
       150:{2,3,5,7}:{(125,1),(126,1),(128,1),(164,1),(173,1)}
       151:{1,2,4,6}:{(126,1),(127,1),(165,1),(173,1),(200,1)}
       152:{1,3,4,6,7}:{(127,1),(131,1),(166,1),(174,1),(176,1),(202,1),(204,1)}
       153:{3,4,5,7}:{(128,1),(132,1),(167,1),(170,1),(175,1),(202,1),(205,1)}
       154:{3,6}:{(128,1),(129,1)}
       155:{1,2,4,6,7}:{(129,1),(130,1),(131,1),(134,1),(169,1),(172,1),(176,1),(178,1),(204,1)}
       156:{2,4,6}:{(132,1),(133,1),(175,1)}
       157:{2,3,5,6,7}:{(133,1),(134,1),(176,1),(178,1),(201,1),(205,1)}
       158:{1,3,4}:{(135,1),(179,1)}
       159:{1,2,4,5}:{(135,1),(136,1),(138,1),(179,1),(180,1),(182,1)}
       160:{2,3,4,6}:{(136,1),(139,1),(180,1),(181,1),(188,1)}
       161:{1,3,5}:{(137,1),(138,1),(143,1),(182,1)}
       162:{1,2,5,6}:{(138,1),(139,1),(148,1),(180,1),(183,1),(184,1)}
       163:{2,3,5,7}:{(139,1),(145,1),(149,1),(181,1),(184,1),(189,1)}
       164:{2,3,5}:{(140,1),(141,1),(143,1),(185,1)}
       165:{1,2,5,6}:{(141,1),(142,1),(151,1),(186,1),(187,1)}
       166:{1,3,5,7}:{(142,1),(146,1),(152,1),(187,1),(189,1),(209,1)}
       167:{3,4,5}:{(143,1),(182,1),(185,1),(188,1)}
       168:{3,5,6}:{(143,1),(144,1),(154,1),(188,1),(189,1)}
       169:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(155,1),(184,1),(187,1),(189,1),(195,1),(207,1),(208,1),(209,1)}
       170:{1,4,5,7}:{(147,1),(153,1),(182,1),(190,1),(207,1),(209,1)}
       171:{1,3,6}:{(147,1),(148,1),(154,1),(190,1)}
       172:{1,2,6,7}:{(148,1),(149,1),(184,1),(191,1)}
       173:{2,3,6}:{(150,1),(151,1),(154,1)}
       174:{1,2,4,6,7}:{(151,1),(152,1),(187,1),(192,1),(208,1)}
       175:{3,4,6}:{(153,1),(154,1),(156,1),(190,1),(193,1)}
       176:{3,6,7}:{(154,1),(155,1),(189,1)}
       177:{2,4,5,6}:{(156,1),(193,1),(195,1)}
       178:{2,4,6,7}:{(156,1),(157,1),(194,1),(195,1),(208,1)}
       179:{1,3,5}:{(158,1),(159,1),(196,1)}
       180:{1,2,4,6}:{(159,1),(160,1),(162,1),(196,1),(197,1),(198,1)}
       181:{2,3,4,7}:{(160,1),(163,1),(197,1),(202,1)}
       182:{1,4,5}:{(161,1),(167,1),(198,1)}
       183:{1,3,5,6}:{(161,1),(162,1),(168,1),(171,1),(196,1),(198,1),(199,1),(203,1)}
       184:{1,2,5,7}:{(162,1),(163,1),(172,1),(197,1),(199,1)}
       185:{2,4,5}:{(164,1),(167,1),(200,1)}
       186:{2,3,5,6}:{(164,1),(165,1),(168,1),(173,1),(200,1),(201,1)}
       187:{1,2,5,7}:{(165,1),(166,1),(174,1),(201,1)}
       188:{3,4,6}:{(167,1),(168,1),(198,1),(200,1),(202,1)}
       189:{3,5,7}:{(168,1),(169,1),(176,1),(202,1)}
       190:{1,4,6}:{(170,1),(171,1),(175,1),(203,1)}
       191:{1,3,6,7}:{(171,1),(172,1),(176,1),(199,1),(204,1)}
       192:{2,3,6,7}:{(173,1),(174,1),(176,1),(201,1)}
       193:{3,5,6}:{(175,1),(177,1),(203,1),(205,1)}
       194:{3,4,6,7}:{(175,1),(176,1),(178,1),(202,1),(204,1),(205,1)}
       195:{2,4,5,7}:{(177,1),(178,1),(205,1)}
       196:{1,3,6}:{(179,1),(180,1),(206,1)}
       197:{1,2,4,7}:{(180,1),(181,1),(184,1),(206,1),(207,1)}
       198:{1,4,6}:{(182,1),(183,1),(188,1),(207,1)}
       199:{1,3,5,7}:{(183,1),(184,1),(189,1),(191,1),(206,1),(207,1),(209,1)}
       200:{2,4,6}:{(185,1),(186,1),(188,1),(208,1)}
       201:{2,3,5,7}:{(186,1),(187,1),(189,1),(192,1),(208,1)}
       202:{3,4,7}:{(188,1),(189,1),(207,1),(208,1)}
       203:{1,5,6}:{(190,1),(193,1),(209,1)}
       204:{1,4,6,7}:{(190,1),(191,1),(194,1),(207,1),(209,1)}
       205:{3,5,7}:{(193,1),(194,1),(195,1),(209,1)}
       206:{1,3,7}:{(196,1),(197,1)}
       207:{1,4,7}:{(198,1),(199,1),(202,1)}
       208:{2,4,7}:{(200,1),(201,1),(202,1)}
       209:{1,5,7}:{(203,1),(204,1),(205,1)}

 711 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(12,1),(17,1),(33,1),(35,1),(37,1),(44,1),(63,1),(65,1),(68,1),(71,1),(101,1),(103,1)}
         1:{3,5,7}:{(0,1),(3,1),(6,1),(22,1),(81,1),(88,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(8,1),(19,1),(20,1),(23,1),(29,1),(82,1),(85,1),(115,1),(116,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(11,1),(30,1),(44,1),(95,1)}
         4:{1,3,5,7}:{(1,1),(9,1),(12,1),(13,1),(30,1),(33,1),(61,1),(98,1),(103,1),(104,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(12,1),(14,1),(30,1),(35,1),(61,1),(99,1),(101,1),(105,1)}
         6:{3,6}:{(1,1),(2,1)}
         7:{1,2,4,6,7}:{(2,1),(15,1),(17,1),(32,1),(34,1),(38,1),(44,1),(71,1),(134,1)}
         8:{1,2,5,6}:{(2,1),(16,1),(17,1),(33,1),(35,1),(64,1),(67,1)}
         9:{1,4,7}:{(3,1),(4,1),(19,1),(78,1),(109,1)}
        10:{2,4,7}:{(3,1),(5,1),(20,1),(78,1),(110,1)}
        11:{3,4,6}:{(3,1),(6,1),(19,1),(20,1),(22,1),(29,1),(45,1),(78,1)}
        12:{1,2,5,7}:{(4,1),(5,1),(18,1),(23,1),(47,1),(114,1),(117,1)}
        13:{1,3,6}:{(4,1),(6,1),(19,1),(23,1),(45,1),(116,1)}
        14:{2,3,6}:{(5,1),(6,1),(20,1),(23,1),(45,1),(115,1)}
        15:{3,6,7}:{(6,1),(7,1),(28,1),(88,1),(137,1)}
        16:{3,5,6}:{(6,1),(8,1),(22,1),(28,1),(29,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(28,1),(48,1),(50,1),(136,1)}
        18:{1,2,4,7}:{(9,1),(10,1),(12,1),(30,1),(31,1),(122,1)}
        19:{1,4,6}:{(9,1),(11,1),(13,1),(33,1)}
        20:{2,4,6}:{(10,1),(11,1),(14,1),(35,1)}
        21:{3,4,6,7}:{(11,1),(15,1),(32,1),(34,1),(36,1),(44,1),(60,1),(70,1),(73,1),(75,1),(94,1),(100,1),(102,1),(119,1)}
        22:{3,5}:{(11,1),(33,1),(35,1),(37,1)}
        23:{1,2,6}:{(12,1),(13,1),(14,1)}
        24:{1,3,6,7}:{(13,1),(15,1),(32,1),(38,1),(40,1),(60,1),(100,1),(104,1),(123,1)}
        25:{1,3,5,6}:{(13,1),(16,1),(33,1),(39,1),(40,1),(41,1),(61,1),(64,1),(66,1),(72,1),(93,1),(98,1),(100,1),(123,1),(132,1),(138,1)}
        26:{2,3,6,7}:{(14,1),(15,1),(34,1),(38,1),(42,1),(60,1),(102,1),(105,1),(124,1)}
        27:{2,3,5,6}:{(14,1),(16,1),(35,1),(39,1),(42,1),(43,1),(61,1),(67,1),(69,1),(72,1),(93,1),(99,1),(102,1),(124,1),(133,1),(138,1)}
        28:{3,5,7}:{(15,1),(16,1),(17,1),(44,1),(138,1)}
        29:{4,6}:{(16,1),(37,1),(44,1)}
        30:{3,7}:{(18,1),(45,1),(130,1)}
        31:{1,2,4,6}:{(18,1),(19,1),(20,1),(23,1),(45,1),(47,1),(78,1)}
        32:{1,4,6,7}:{(19,1),(21,1),(24,1),(48,1),(56,1),(82,1),(92,1),(116,1),(127,1)}
        33:{1,5}:{(19,1),(22,1)}
        34:{2,4,6,7}:{(20,1),(21,1),(26,1),(50,1),(58,1),(85,1),(91,1),(115,1),(128,1)}
        35:{2,5}:{(20,1),(22,1)}
        36:{3,5,7}:{(21,1),(22,1),(48,1),(50,1),(52,1),(53,1),(126,1)}
        37:{4,5}:{(22,1),(29,1),(78,1)}
        38:{1,2,6,7}:{(23,1),(24,1),(26,1),(54,1),(115,1),(116,1),(117,1),(131,1)}
        39:{1,2,5,6}:{(23,1),(25,1),(27,1),(47,1),(54,1),(55,1),(84,1),(87,1),(114,1),(115,1),(116,1),(131,1),(136,1)}
        40:{1,3,5,7}:{(24,1),(25,1),(28,1),(48,1),(54,1),(56,1),(77,1),(83,1),(88,1)}
        41:{1,4,6}:{(25,1),(29,1),(49,1),(56,1),(57,1),(78,1),(107,1),(109,1),(139,1)}
        42:{2,3,5,7}:{(26,1),(27,1),(28,1),(50,1),(54,1),(58,1),(77,1),(86,1),(88,1)}
        43:{2,4,6}:{(27,1),(29,1),(51,1),(58,1),(59,1),(78,1),(107,1),(110,1),(139,1)}
        44:{4,7}:{(28,1),(29,1),(139,1)}
        45:{3,6}:{(30,1),(31,1),(61,1)}
        46:{1,2,4,6,7}:{(31,1),(32,1),(34,1),(38,1),(60,1),(62,1),(71,1),(94,1),(96,1)}
        47:{1,2,5}:{(31,1),(33,1),(35,1),(61,1)}
        48:{1,5,7}:{(32,1),(33,1),(36,1),(64,1),(132,1)}
        49:{1,4,5}:{(33,1),(37,1),(41,1),(66,1),(118,1),(132,1)}
        50:{2,5,7}:{(34,1),(35,1),(36,1),(67,1),(133,1)}
        51:{2,4,5}:{(35,1),(37,1),(43,1),(69,1),(118,1),(133,1)}
        52:{3,5,6}:{(36,1),(64,1),(67,1),(70,1),(100,1),(102,1)}
        53:{4,5,7}:{(36,1),(37,1),(44,1),(70,1),(94,1),(118,1)}
        54:{1,2,5,7}:{(38,1),(39,1),(40,1),(42,1),(71,1),(101,1),(103,1)}
        55:{1,2,4,6}:{(39,1),(41,1),(43,1),(63,1),(71,1),(72,1),(74,1),(76,1),(106,1),(122,1)}
        56:{1,4,7}:{(40,1),(41,1),(44,1),(73,1),(94,1)}
        57:{3,4,6}:{(41,1),(66,1),(72,1),(73,1),(74,1),(95,1),(100,1)}
        58:{2,4,7}:{(42,1),(43,1),(44,1),(75,1),(94,1)}
        59:{3,4,6}:{(43,1),(69,1),(72,1),(75,1),(76,1),(95,1),(102,1)}
        60:{3,6,7}:{(45,1),(46,1),(77,1),(88,1),(111,1)}
        61:{3,5}:{(45,1),(47,1),(78,1)}
        62:{1,2,5,7}:{(46,1),(47,1),(48,1),(50,1),(77,1),(79,1)}
        63:{1,2,4,5}:{(47,1),(49,1),(51,1),(55,1),(78,1),(81,1),(84,1),(87,1),(109,1),(110,1),(114,1),(136,1),(139,1)}
        64:{1,5,6}:{(48,1),(52,1),(82,1),(116,1)}
        65:{1,4,5,7}:{(48,1),(49,1),(53,1),(56,1),(82,1),(83,1)}
        66:{3,5}:{(49,1),(57,1),(84,1)}
        67:{2,5,6}:{(50,1),(52,1),(85,1),(115,1)}
        68:{2,4,5,7}:{(50,1),(51,1),(53,1),(58,1),(85,1),(86,1)}
        69:{3,5}:{(51,1),(59,1),(87,1)}
        70:{4,6}:{(52,1),(53,1)}
        71:{1,2,4,7}:{(54,1),(55,1),(56,1),(58,1),(88,1),(91,1),(92,1),(117,1)}
        72:{3,6}:{(55,1),(81,1),(88,1),(130,1)}
        73:{3,4,7}:{(56,1),(57,1),(83,1),(88,1),(91,1)}
        74:{2,4,6}:{(57,1),(84,1),(90,1),(91,1),(110,1),(115,1)}
        75:{3,4,7}:{(58,1),(59,1),(86,1),(88,1),(92,1)}
        76:{1,4,6}:{(59,1),(87,1),(89,1),(92,1),(109,1),(116,1)}
        77:{3,5,7}:{(60,1),(61,1),(62,1),(93,1),(94,1)}
        78:{4}:{(61,1)}
        79:{1,2,5,6}:{(62,1),(64,1),(67,1),(93,1),(96,1),(132,1),(133,1)}
        80:{1,2,4,5,7}:{(62,1),(63,1),(65,1),(68,1),(71,1),(94,1),(96,1),(97,1),(101,1),(103,1),(118,1),(120,1),(121,1),(125,1),(132,1),(133,1)}
        81:{3,5}:{(63,1),(72,1),(95,1)}
        82:{1,4,6}:{(64,1),(65,1),(70,1),(100,1)}
        83:{3,5,7}:{(65,1),(66,1),(73,1),(100,1),(101,1)}
        84:{2,5}:{(66,1),(74,1)}
        85:{2,4,6}:{(67,1),(68,1),(70,1),(102,1)}
        86:{3,5,7}:{(68,1),(69,1),(75,1),(102,1),(103,1)}
        87:{1,5}:{(69,1),(76,1)}
        88:{3,7}:{(71,1),(72,1)}
        89:{1,3,6}:{(72,1),(76,1),(98,1),(104,1),(106,1)}
        90:{2,3,6}:{(72,1),(74,1),(99,1),(105,1),(106,1)}
        91:{2,4,7}:{(73,1),(74,1),(101,1),(105,1)}
        92:{1,4,7}:{(75,1),(76,1),(103,1),(104,1)}
        93:{3,5,6}:{(77,1),(79,1),(107,1),(111,1),(126,1)}
        94:{4,7}:{(77,1),(78,1),(107,1)}
        95:{3,4}:{(78,1),(81,1),(109,1),(110,1),(130,1),(139,1)}
        96:{1,2,4,6}:{(79,1),(80,1),(82,1),(85,1),(107,1),(111,1),(115,1),(116,1),(127,1),(128,1),(131,1)}
        97:{3,5,7}:{(80,1),(81,1),(88,1),(108,1),(111,1),(126,1)}
        98:{1,3,5}:{(81,1),(87,1),(89,1),(109,1),(114,1),(130,1)}
        99:{2,3,5}:{(81,1),(84,1),(90,1),(110,1),(114,1),(130,1)}
       100:{3,6}:{(82,1),(83,1),(115,1)}
       101:{2,5,7}:{(83,1),(84,1),(91,1),(115,1)}
       102:{3,6}:{(85,1),(86,1),(116,1)}
       103:{1,5,7}:{(86,1),(87,1),(92,1),(116,1)}
       104:{1,3,7}:{(88,1),(89,1),(92,1),(117,1)}
       105:{2,3,7}:{(88,1),(90,1),(91,1),(117,1)}
       106:{1,2,6}:{(89,1),(90,1),(114,1),(117,1)}
       107:{4,6}:{(93,1),(94,1),(118,1)}
       108:{3,4,7}:{(94,1),(95,1),(97,1),(119,1),(120,1),(121,1),(135,1)}
       109:{1,4}:{(95,1),(98,1)}
       110:{2,4}:{(95,1),(99,1)}
       111:{3,6}:{(96,1),(97,1)}
       112:{1,3,5,7}:{(97,1),(98,1),(103,1),(104,1),(120,1),(123,1),(125,1),(132,1),(135,1),(138,1)}
       113:{2,3,5,7}:{(97,1),(99,1),(101,1),(105,1),(121,1),(124,1),(125,1),(133,1),(135,1),(138,1)}
       114:{1,2,5}:{(98,1),(99,1),(106,1),(122,1)}
       115:{2,6}:{(100,1),(101,1)}
       116:{1,6}:{(102,1),(103,1)}
       117:{1,2,7}:{(104,1),(105,1),(106,1)}
       118:{4,5}:{(107,1),(126,1),(139,1)}
       119:{3,4,6}:{(107,1),(108,1),(111,1),(126,1),(127,1),(128,1),(137,1),(139,1)}
       120:{1,4,7}:{(108,1),(109,1),(112,1),(127,1),(139,1)}
       121:{2,4,7}:{(108,1),(110,1),(113,1),(128,1),(139,1)}
       122:{1,2,4}:{(109,1),(110,1),(114,1),(130,1)}
       123:{1,3,6}:{(111,1),(112,1),(116,1),(127,1),(131,1),(137,1)}
       124:{2,3,6}:{(111,1),(113,1),(115,1),(128,1),(131,1),(137,1)}
       125:{1,2,5,7}:{(112,1),(113,1),(114,1),(117,1),(129,1),(131,1),(136,1)}
       126:{3,5}:{(118,1),(119,1),(132,1),(133,1)}
       127:{1,4,6}:{(119,1),(120,1),(123,1),(132,1)}
       128:{2,4,6}:{(119,1),(121,1),(124,1),(133,1)}
       129:{1,2,4,7}:{(120,1),(121,1),(122,1),(125,1),(134,1),(135,1)}
       130:{3}:{(122,1)}
       131:{1,2,6}:{(123,1),(124,1),(125,1)}
       132:{1,5}:{(126,1),(127,1)}
       133:{2,5}:{(126,1),(128,1)}
       134:{1,2,4,6}:{(127,1),(128,1),(129,1),(131,1),(136,1),(137,1),(139,1)}
       135:{3,7}:{(129,1),(130,1),(137,1)}
       136:{1,2,5}:{(132,1),(133,1),(134,1),(138,1)}
       137:{3,6}:{(134,1),(135,1),(138,1)}
       138:{3,5}:{(136,1),(137,1),(139,1)}
       139:{4}:{(138,1)}

 712 :  0:{1,2,5,6}:{(2,1),(3,1),(4,1),(34,1),(35,1),(53,1),(54,1)}
        1:{1,2,4,5}:{(3,1),(5,1),(14,1),(18,1),(19,1),(23,1),(34,1),(35,1)}
        2:{3,5,6}:{(0,1),(6,1),(7,1),(9,1),(24,1),(47,1),(48,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(6,1),(9,1),(10,1),(26,1),(27,1),(31,1)}
        4:{1,2,5,7}:{(0,1),(7,1),(10,1),(11,1),(45,1),(46,1)}
        5:{3,5}:{(1,1),(8,1),(9,1)}
        6:{4,6}:{(2,1),(14,1),(16,1)}
        7:{3,5,7}:{(2,1),(4,1),(16,1),(17,1),(22,1),(41,1)}
        8:{3,4}:{(5,1),(18,1),(19,1),(42,1)}
        9:{3,6}:{(3,1),(5,1),(22,1)}
       10:{1,2,4,7}:{(3,1),(4,1),(16,1),(22,1),(39,1),(40,1),(43,1)}
       11:{1,2,6,7}:{(4,1),(17,1),(53,1),(54,1)}
       12:{1,3,5}:{(5,1),(18,1),(20,1),(23,1),(34,1),(42,1),(51,1)}
       13:{2,3,5}:{(5,1),(19,1),(21,1),(23,1),(35,1),(42,1),(51,1)}
       14:{4,5}:{(6,1),(24,1),(56,1)}
       15:{3,4,6}:{(6,1),(8,1),(9,1),(24,1),(26,1),(27,1),(28,1),(47,1),(49,1),(56,1),(61,1)}
       16:{4,7}:{(6,1),(7,1)}
       17:{3,6,7}:{(7,1),(11,1),(29,1),(47,1)}
       18:{1,4}:{(8,1),(12,1),(56,1)}
       19:{2,4}:{(8,1),(13,1),(56,1)}
       20:{1,3,6}:{(9,1),(12,1),(26,1),(31,1),(32,1),(49,1)}
       21:{2,3,6}:{(9,1),(13,1),(27,1),(31,1),(33,1),(49,1)}
       22:{3,7}:{(9,1),(10,1)}
       23:{1,2,5}:{(12,1),(13,1),(30,1),(31,1)}
       24:{3,5}:{(14,1),(15,1),(34,1),(35,1),(62,1)}
       25:{4,5,7}:{(14,1),(16,1),(36,1),(37,1),(41,1),(59,1),(62,1)}
       26:{1,4,6}:{(15,1),(18,1),(20,1),(34,1),(39,1),(53,1)}
       27:{2,4,6}:{(15,1),(19,1),(21,1),(35,1),(40,1),(54,1)}
       28:{3,4,7}:{(15,1),(16,1),(22,1),(36,1),(39,1),(40,1),(55,1),(59,1)}
       29:{4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
       30:{1,2,4}:{(18,1),(19,1),(23,1),(42,1)}
       31:{1,2,6}:{(20,1),(21,1),(23,1),(43,1)}
       32:{1,3,7}:{(20,1),(22,1),(39,1),(43,1),(55,1)}
       33:{2,3,7}:{(21,1),(22,1),(40,1),(43,1),(55,1)}
       34:{1,5}:{(24,1),(26,1)}
       35:{2,5}:{(24,1),(27,1)}
       36:{3,5,7}:{(24,1),(25,1),(28,1),(45,1),(46,1),(47,1)}
       37:{4,6}:{(25,1),(47,1),(48,1)}
       38:{1,2,4,6}:{(26,1),(27,1),(30,1),(31,1),(44,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       39:{1,4,7}:{(26,1),(28,1),(32,1),(45,1)}
       40:{2,4,7}:{(27,1),(28,1),(33,1),(46,1)}
       41:{5,7}:{(29,1),(48,1)}
       42:{3}:{(30,1)}
       43:{1,2,7}:{(31,1),(32,1),(33,1)}
       44:{1,2,5}:{(34,1),(35,1),(38,1),(51,1),(62,1)}
       45:{1,5,7}:{(34,1),(36,1),(39,1),(53,1)}
       46:{2,5,7}:{(35,1),(36,1),(40,1),(54,1)}
       47:{3,6}:{(36,1),(37,1),(53,1),(54,1)}
       48:{5,6}:{(37,1),(41,1),(62,1)}
       49:{3,6}:{(38,1),(42,1),(51,1),(55,1)}
       50:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(52,1),(55,1),(59,1)}
       51:{3,5}:{(44,1),(49,1),(56,1)}
       52:{1,2,5,7}:{(44,1),(45,1),(46,1),(50,1),(57,1),(58,1)}
       53:{1,6}:{(45,1),(47,1)}
       54:{2,6}:{(46,1),(47,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{4}:{(51,1)}
       57:{3,5,7}:{(51,1),(52,1),(55,1),(59,1),(60,1),(62,1)}
       58:{1,2,6}:{(52,1),(53,1),(54,1),(60,1)}
       59:{4,7}:{(56,1),(57,1),(61,1)}
       60:{3,6}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 713 :   0:{3,4,5,7}:{(1,1),(2,1),(3,1),(23,1),(24,1),(84,1),(87,1),(121,1),(129,1),(137,1),(140,1)}
         1:{1,4,5,7}:{(0,1),(6,1),(10,1),(45,1),(55,1),(90,1),(117,1),(158,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(11,1),(46,1),(58,1),(97,1),(114,1),(150,1)}
         3:{3,4,6}:{(0,1),(10,1),(11,1),(12,1),(49,1),(109,1)}
         4:{1,3,4,7}:{(6,1),(13,1),(14,1),(48,1),(90,1),(149,1),(170,1),(194,1)}
         5:{2,3,4,7}:{(7,1),(15,1),(16,1),(48,1),(97,1),(157,1),(168,1),(199,1)}
         6:{1,3,5,7}:{(1,1),(4,1),(17,1),(18,1),(24,1),(31,1),(145,1),(184,1),(205,1)}
         7:{2,3,5,7}:{(2,1),(5,1),(19,1),(20,1),(24,1),(34,1),(143,1),(177,1),(207,1)}
         8:{3,4,6,7}:{(3,1),(21,1),(22,1),(23,1),(73,1),(74,1),(121,1),(129,1),(134,1),(135,1),(137,1)}
         9:{1,2,4,5,7}:{(1,1),(2,1),(17,1),(19,1),(24,1),(25,1),(61,1),(67,1),(75,1),(83,1),(86,1),(120,1),(122,1),(128,1),(130,1),(137,1),(140,1),(174,1),(182,1),(205,1),(207,1)}
        10:{1,4,6}:{(1,1),(3,1),(18,1),(26,1)}
        11:{2,4,6}:{(2,1),(3,1),(20,1),(27,1)}
        12:{3,5,6}:{(3,1),(23,1),(26,1),(27,1),(28,1)}
        13:{1,2,4,7}:{(4,1),(17,1),(29,1),(30,1),(61,1),(191,1)}
        14:{1,3,4,6}:{(4,1),(18,1),(30,1),(31,1),(64,1),(78,1),(124,1),(141,1),(179,1)}
        15:{1,2,4,7}:{(5,1),(19,1),(32,1),(33,1),(67,1),(190,1)}
        16:{2,3,4,6}:{(5,1),(20,1),(33,1),(34,1),(70,1),(78,1),(132,1),(144,1),(187,1)}
        17:{1,2,5,7}:{(6,1),(13,1),(36,1),(37,1),(54,1),(172,1),(200,1)}
        18:{1,3,6}:{(6,1),(10,1),(37,1),(49,1),(208,1)}
        19:{1,2,5,7}:{(7,1),(15,1),(40,1),(41,1),(57,1),(169,1),(195,1)}
        20:{2,3,6}:{(7,1),(11,1),(41,1),(49,1),(209,1)}
        21:{1,4,6,7}:{(8,1),(10,1),(35,1),(45,1),(90,1),(158,1),(164,1)}
        22:{2,4,6,7}:{(8,1),(11,1),(39,1),(46,1),(97,1),(150,1),(163,1)}
        23:{3,5,7}:{(8,1),(12,1),(45,1),(46,1),(47,1)}
        24:{3,5,7}:{(9,1),(48,1),(49,1),(108,1),(113,1),(116,1),(149,1),(157,1)}
        25:{1,2,4,6}:{(9,1),(10,1),(11,1),(37,1),(41,1),(49,1),(50,1),(91,1),(98,1),(109,1),(192,1),(197,1),(208,1),(209,1)}
        26:{1,5,6}:{(10,1),(12,1),(45,1)}
        27:{2,5,6}:{(11,1),(12,1),(46,1)}
        28:{4,5,6}:{(12,1),(47,1),(109,1)}
        29:{2,3,7}:{(13,1),(53,1),(149,1),(203,1)}
        30:{1,2,4,6}:{(13,1),(14,1),(37,1),(53,1),(54,1),(91,1),(112,1)}
        31:{1,3,5}:{(14,1),(54,1),(55,1),(108,1),(113,1),(196,1)}
        32:{1,3,7}:{(15,1),(56,1),(157,1),(202,1)}
        33:{1,2,4,6}:{(15,1),(16,1),(41,1),(56,1),(57,1),(98,1),(115,1)}
        34:{2,3,5}:{(16,1),(57,1),(58,1),(108,1),(116,1),(201,1)}
        35:{1,3,6,7}:{(18,1),(21,1),(59,1),(60,1),(74,1),(134,1),(184,1)}
        36:{2,3,5,7}:{(17,1),(24,1),(29,1),(61,1),(62,1),(82,1),(122,1),(146,1),(185,1),(207,1)}
        37:{1,2,6}:{(17,1),(18,1),(62,1)}
        38:{1,3,5,6}:{(18,1),(26,1),(31,1),(60,1),(63,1),(64,1),(79,1),(80,1),(124,1)}
        39:{2,3,6,7}:{(20,1),(22,1),(65,1),(66,1),(74,1),(135,1),(177,1)}
        40:{1,3,5,7}:{(19,1),(24,1),(32,1),(67,1),(68,1),(85,1),(130,1),(142,1),(176,1),(205,1)}
        41:{1,2,6}:{(19,1),(20,1),(68,1)}
        42:{2,3,5,6}:{(20,1),(27,1),(34,1),(66,1),(69,1),(70,1),(79,1),(81,1),(132,1)}
        43:{3,5,6,7}:{(23,1),(71,1),(72,1),(73,1),(134,1),(135,1)}
        44:{1,2,4,6,7}:{(21,1),(22,1),(25,1),(59,1),(65,1),(74,1),(75,1),(118,1),(120,1),(126,1),(128,1),(137,1)}
        45:{1,5,7}:{(21,1),(23,1),(26,1)}
        46:{2,5,7}:{(22,1),(23,1),(27,1)}
        47:{4,5,7}:{(23,1),(28,1),(73,1),(137,1)}
        48:{3,4,7}:{(24,1),(61,1),(67,1),(78,1),(137,1),(141,1),(144,1)}
        49:{3,6}:{(24,1),(25,1)}
        50:{1,2,5,6}:{(25,1),(26,1),(27,1),(75,1),(79,1),(122,1),(130,1),(173,1),(181,1)}
        51:{1,4,5,6}:{(26,1),(28,1),(64,1),(76,1),(80,1)}
        52:{2,4,5,6}:{(27,1),(28,1),(70,1),(77,1),(81,1)}
        53:{2,3,6}:{(29,1),(30,1),(82,1),(124,1)}
        54:{1,2,5}:{(30,1),(31,1),(82,1),(122,1)}
        55:{1,4,5}:{(31,1),(64,1),(84,1),(140,1)}
        56:{1,3,6}:{(32,1),(33,1),(85,1),(132,1)}
        57:{1,2,5}:{(33,1),(34,1),(85,1),(130,1)}
        58:{2,4,5}:{(34,1),(70,1),(87,1),(140,1)}
        59:{1,2,6,7}:{(35,1),(37,1),(88,1),(89,1),(163,1),(200,1),(208,1)}
        60:{1,3,5,7}:{(35,1),(38,1),(45,1),(89,1),(90,1),(105,1),(106,1),(149,1)}
        61:{2,4,7}:{(36,1),(48,1),(91,1),(112,1),(171,1)}
        62:{2,3,6}:{(36,1),(37,1),(49,1),(91,1),(209,1)}
        63:{1,2,5,6}:{(37,1),(38,1),(54,1),(89,1),(92,1),(93,1),(110,1),(196,1),(208,1)}
        64:{1,4,6}:{(38,1),(55,1),(90,1),(94,1),(109,1)}
        65:{1,2,6,7}:{(39,1),(41,1),(95,1),(96,1),(164,1),(195,1),(209,1)}
        66:{2,3,5,7}:{(39,1),(42,1),(46,1),(96,1),(97,1),(105,1),(107,1),(157,1)}
        67:{1,4,7}:{(40,1),(48,1),(98,1),(115,1),(167,1)}
        68:{1,3,6}:{(40,1),(41,1),(49,1),(98,1),(208,1)}
        69:{1,2,5,6}:{(41,1),(42,1),(57,1),(96,1),(99,1),(100,1),(111,1),(201,1),(209,1)}
        70:{2,4,6}:{(42,1),(58,1),(97,1),(101,1),(109,1)}
        71:{1,5,6,7}:{(43,1),(45,1),(102,1),(164,1)}
        72:{2,5,6,7}:{(43,1),(46,1),(103,1),(163,1)}
        73:{4,6,7}:{(43,1),(47,1)}
        74:{3,6,7}:{(44,1),(49,1),(105,1),(149,1),(157,1)}
        75:{1,2,5,7}:{(44,1),(45,1),(46,1),(50,1),(105,1),(147,1),(155,1)}
        76:{1,4,5,7}:{(45,1),(47,1),(51,1),(90,1),(102,1),(106,1)}
        77:{2,4,5,7}:{(46,1),(47,1),(52,1),(97,1),(103,1),(107,1)}
        78:{3,4,6}:{(48,1),(49,1),(91,1),(98,1),(108,1),(109,1)}
        79:{3,5,6}:{(49,1),(50,1),(105,1),(108,1),(109,1)}
        80:{3,5,6}:{(51,1),(94,1),(106,1),(110,1)}
        81:{3,5,6}:{(52,1),(101,1),(107,1),(111,1)}
        82:{2,3,5}:{(53,1),(54,1),(112,1),(113,1)}
        83:{1,2,4,5}:{(54,1),(55,1),(93,1),(112,1),(113,1),(114,1),(151,1),(167,1),(169,1),(196,1)}
        84:{3,4,5}:{(55,1),(94,1),(113,1),(114,1)}
        85:{1,3,5}:{(56,1),(57,1),(115,1),(116,1)}
        86:{1,2,4,5}:{(57,1),(58,1),(100,1),(115,1),(116,1),(117,1),(159,1),(171,1),(172,1),(201,1)}
        87:{3,4,5}:{(58,1),(101,1),(116,1),(117,1)}
        88:{2,3,6,7}:{(59,1),(62,1),(74,1),(118,1),(119,1),(185,1),(204,1)}
        89:{1,2,5,7}:{(59,1),(60,1),(63,1),(119,1),(120,1),(138,1),(205,1)}
        90:{1,4,7}:{(60,1),(64,1),(121,1),(137,1)}
        91:{2,4,6}:{(61,1),(62,1),(78,1),(122,1)}
        92:{2,3,5,6}:{(62,1),(63,1),(79,1),(82,1),(119,1),(122,1),(123,1),(124,1),(173,1),(178,1),(204,1)}
        93:{1,2,4,6}:{(63,1),(64,1),(83,1),(120,1),(123,1),(124,1),(125,1),(179,1),(180,1)}
        94:{3,4,6}:{(64,1),(80,1),(84,1),(121,1),(124,1),(125,1)}
        95:{1,3,6,7}:{(65,1),(68,1),(74,1),(126,1),(127,1),(176,1),(206,1)}
        96:{1,2,5,7}:{(65,1),(66,1),(69,1),(127,1),(128,1),(139,1),(207,1)}
        97:{2,4,7}:{(66,1),(70,1),(129,1),(137,1)}
        98:{1,4,6}:{(67,1),(68,1),(78,1),(130,1)}
        99:{1,3,5,6}:{(68,1),(69,1),(79,1),(85,1),(127,1),(130,1),(131,1),(132,1),(181,1),(186,1),(206,1)}
       100:{1,2,4,6}:{(69,1),(70,1),(86,1),(128,1),(131,1),(132,1),(133,1),(187,1),(188,1)}
       101:{3,4,6}:{(70,1),(81,1),(87,1),(129,1),(132,1),(133,1)}
       102:{1,4,6,7}:{(71,1),(73,1),(76,1),(134,1)}
       103:{2,4,6,7}:{(72,1),(73,1),(77,1),(135,1)}
       104:{3,4,6,7}:{(74,1),(78,1),(118,1),(126,1),(136,1),(137,1),(175,1),(183,1),(189,1),(204,1),(206,1)}
       105:{3,5,7}:{(74,1),(75,1),(79,1),(137,1)}
       106:{3,5,7}:{(76,1),(80,1),(121,1),(134,1),(138,1)}
       107:{3,5,7}:{(77,1),(81,1),(129,1),(135,1),(139,1)}
       108:{3,5}:{(78,1),(122,1),(130,1),(140,1)}
       109:{4,6}:{(79,1),(137,1),(140,1)}
       110:{2,5,6}:{(80,1),(125,1),(138,1)}
       111:{1,5,6}:{(81,1),(133,1),(139,1)}
       112:{2,4}:{(82,1),(141,1)}
       113:{3,5}:{(83,1),(124,1),(141,1)}
       114:{2,4,5}:{(84,1),(125,1),(143,1)}
       115:{1,4}:{(85,1),(144,1)}
       116:{3,5}:{(86,1),(132,1),(144,1)}
       117:{1,4,5}:{(87,1),(133,1),(145,1)}
       118:{2,4,6,7}:{(88,1),(91,1),(104,1),(147,1),(148,1),(192,1),(199,1),(209,1)}
       119:{2,3,5,7}:{(88,1),(89,1),(92,1),(105,1),(147,1),(148,1),(149,1),(193,1)}
       120:{1,2,4,7}:{(89,1),(90,1),(93,1),(148,1),(149,1),(150,1),(194,1),(195,1)}
       121:{3,4,7}:{(90,1),(94,1),(106,1),(149,1),(150,1)}
       122:{2,5}:{(91,1),(108,1)}
       123:{2,4,6}:{(92,1),(109,1),(112,1),(148,1),(151,1),(152,1)}
       124:{3,6}:{(93,1),(113,1),(149,1)}
       125:{2,4,6}:{(94,1),(110,1),(114,1),(150,1),(154,1)}
       126:{1,4,6,7}:{(95,1),(98,1),(104,1),(155,1),(156,1),(194,1),(197,1),(208,1)}
       127:{1,3,5,7}:{(95,1),(96,1),(99,1),(105,1),(155,1),(156,1),(157,1),(198,1)}
       128:{1,2,4,7}:{(96,1),(97,1),(100,1),(156,1),(157,1),(158,1),(199,1),(200,1)}
       129:{3,4,7}:{(97,1),(101,1),(107,1),(157,1),(158,1)}
       130:{1,5}:{(98,1),(108,1)}
       131:{1,4,6}:{(99,1),(109,1),(115,1),(156,1),(159,1),(160,1)}
       132:{3,6}:{(100,1),(116,1),(157,1)}
       133:{1,4,6}:{(101,1),(111,1),(117,1),(158,1),(161,1)}
       134:{3,6,7}:{(102,1),(106,1),(163,1)}
       135:{3,6,7}:{(103,1),(107,1),(164,1)}
       136:{3,5,7}:{(104,1),(108,1),(147,1),(155,1),(165,1),(166,1)}
       137:{4,7}:{(105,1),(109,1)}
       138:{2,5,7}:{(106,1),(110,1),(150,1),(163,1)}
       139:{1,5,7}:{(107,1),(111,1),(158,1),(164,1)}
       140:{4,5}:{(108,1),(109,1)}
       141:{3,4}:{(112,1),(113,1),(167,1)}
       142:{1,3,5}:{(113,1),(153,1),(167,1),(169,1),(196,1),(202,1)}
       143:{2,3,5}:{(113,1),(114,1),(154,1),(168,1),(169,1)}
       144:{3,4}:{(115,1),(116,1),(171,1)}
       145:{1,3,5}:{(116,1),(117,1),(161,1),(170,1),(172,1)}
       146:{2,3,5}:{(116,1),(162,1),(171,1),(172,1),(201,1),(203,1)}
       147:{2,5,7}:{(118,1),(122,1),(136,1),(173,1)}
       148:{2,4,7}:{(119,1),(123,1),(137,1),(175,1)}
       149:{3,7}:{(120,1),(124,1)}
       150:{2,4,7}:{(121,1),(125,1),(138,1),(177,1)}
       151:{2,4,5}:{(122,1),(123,1),(140,1),(178,1)}
       152:{3,4,6}:{(123,1),(124,1),(141,1),(175,1),(178,1),(179,1),(204,1)}
       153:{1,3,6}:{(124,1),(142,1),(176,1),(179,1),(180,1)}
       154:{2,3,6}:{(124,1),(125,1),(143,1),(177,1),(180,1)}
       155:{1,5,7}:{(126,1),(130,1),(136,1),(181,1)}
       156:{1,4,7}:{(127,1),(131,1),(137,1),(183,1)}
       157:{3,7}:{(128,1),(132,1)}
       158:{1,4,7}:{(129,1),(133,1),(139,1),(184,1)}
       159:{1,4,5}:{(130,1),(131,1),(140,1),(186,1)}
       160:{3,4,6}:{(131,1),(132,1),(144,1),(183,1),(186,1),(187,1),(206,1)}
       161:{1,3,6}:{(132,1),(133,1),(145,1),(184,1),(188,1)}
       162:{2,3,6}:{(132,1),(146,1),(185,1),(187,1),(188,1)}
       163:{2,6,7}:{(134,1),(138,1)}
       164:{1,6,7}:{(135,1),(139,1)}
       165:{3,5,6}:{(136,1),(173,1),(181,1),(189,1),(204,1),(206,1)}
       166:{4,5,7}:{(136,1),(137,1),(140,1),(189,1)}
       167:{1,4}:{(141,1),(142,1)}
       168:{2,3,4}:{(141,1),(143,1),(190,1)}
       169:{1,2,5}:{(142,1),(143,1),(180,1),(190,1)}
       170:{1,3,4}:{(144,1),(145,1),(191,1)}
       171:{2,4}:{(144,1),(146,1)}
       172:{1,2,5}:{(145,1),(146,1),(188,1),(191,1)}
       173:{2,5,6}:{(147,1),(165,1),(192,1),(209,1)}
       174:{2,4,5,7}:{(147,1),(148,1),(151,1),(166,1),(192,1),(193,1)}
       175:{3,4,7}:{(148,1),(149,1),(152,1),(193,1),(194,1)}
       176:{1,3,7}:{(149,1),(153,1),(194,1),(195,1)}
       177:{2,3,7}:{(149,1),(150,1),(154,1),(195,1)}
       178:{3,5}:{(151,1),(152,1),(196,1)}
       179:{1,4,6}:{(152,1),(153,1),(167,1),(194,1),(196,1),(208,1)}
       180:{1,2,6}:{(153,1),(154,1),(169,1),(195,1)}
       181:{1,5,6}:{(155,1),(165,1),(197,1),(208,1)}
       182:{1,4,5,7}:{(155,1),(156,1),(159,1),(166,1),(197,1),(198,1)}
       183:{3,4,7}:{(156,1),(157,1),(160,1),(198,1),(199,1)}
       184:{1,3,7}:{(157,1),(158,1),(161,1),(200,1)}
       185:{2,3,7}:{(157,1),(162,1),(199,1),(200,1)}
       186:{3,5}:{(159,1),(160,1),(201,1)}
       187:{2,4,6}:{(160,1),(162,1),(171,1),(199,1),(201,1),(209,1)}
       188:{1,2,6}:{(161,1),(162,1),(172,1),(200,1)}
       189:{4,6}:{(165,1),(166,1)}
       190:{1,2,4}:{(167,1),(168,1),(169,1),(202,1)}
       191:{1,2,4}:{(170,1),(171,1),(172,1),(203,1)}
       192:{2,4,6}:{(173,1),(174,1),(189,1),(204,1)}
       193:{3,5,7}:{(174,1),(175,1),(178,1),(204,1),(205,1)}
       194:{1,4,7}:{(175,1),(176,1),(179,1),(205,1)}
       195:{1,2,7}:{(176,1),(177,1),(180,1)}
       196:{1,5}:{(178,1),(179,1)}
       197:{1,4,6}:{(181,1),(182,1),(189,1),(206,1)}
       198:{3,5,7}:{(182,1),(183,1),(186,1),(206,1),(207,1)}
       199:{2,4,7}:{(183,1),(185,1),(187,1),(207,1)}
       200:{1,2,7}:{(184,1),(185,1),(188,1)}
       201:{2,5}:{(186,1),(187,1)}
       202:{1,3}:{(190,1)}
       203:{2,3}:{(191,1)}
       204:{3,6}:{(192,1),(193,1),(208,1)}
       205:{1,5,7}:{(193,1),(194,1),(196,1),(208,1)}
       206:{3,6}:{(197,1),(198,1),(209,1)}
       207:{2,5,7}:{(198,1),(199,1),(201,1),(209,1)}
       208:{1,6}:{(204,1),(205,1)}
       209:{2,6}:{(206,1),(207,1)}

 714 :  0:{3,4,5}:{(2,1),(3,1),(4,1),(29,1),(72,1)}
        1:{4,5,6}:{(10,1),(11,1),(63,1),(83,1)}
        2:{3,4,6}:{(0,1),(11,1),(12,1),(13,1),(14,1),(43,1),(63,1)}
        3:{1,4,5}:{(0,1),(7,1),(13,1)}
        4:{2,4,5}:{(0,1),(8,1),(14,1)}
        5:{1,3,4}:{(7,1),(16,1),(44,1)}
        6:{2,3,4}:{(8,1),(17,1),(44,1)}
        7:{1,3,5}:{(3,1),(5,1),(18,1),(19,1),(29,1)}
        8:{2,3,5}:{(4,1),(6,1),(20,1),(21,1),(29,1)}
        9:{5,6,7}:{(22,1),(81,1)}
       10:{4,5,7}:{(1,1),(22,1),(23,1),(71,1),(81,1)}
       11:{3,5,6}:{(1,1),(2,1),(23,1),(24,1),(25,1)}
       12:{3,4,7}:{(2,1),(23,1),(26,1),(27,1),(55,1),(71,1)}
       13:{1,4,6}:{(2,1),(3,1),(18,1),(24,1),(26,1)}
       14:{2,4,6}:{(2,1),(4,1),(20,1),(25,1),(27,1)}
       15:{1,2,4,5}:{(3,1),(4,1),(19,1),(21,1),(28,1),(29,1),(47,1),(50,1),(67,1),(69,1),(72,1)}
       16:{1,2,4}:{(5,1),(19,1),(30,1),(47,1)}
       17:{1,2,4}:{(6,1),(21,1),(31,1),(50,1)}
       18:{1,3,6}:{(7,1),(13,1),(32,1),(33,1),(43,1)}
       19:{1,2,5}:{(7,1),(16,1),(33,1),(34,1)}
       20:{2,3,6}:{(8,1),(14,1),(35,1),(36,1),(43,1)}
       21:{1,2,5}:{(8,1),(17,1),(36,1),(37,1)}
       22:{4,6,7}:{(9,1),(10,1),(38,1)}
       23:{3,5,7}:{(10,1),(11,1),(12,1),(38,1),(39,1),(40,1)}
       24:{1,5,6}:{(11,1),(13,1),(39,1)}
       25:{2,5,6}:{(11,1),(14,1),(40,1)}
       26:{1,4,7}:{(12,1),(13,1),(32,1),(39,1)}
       27:{2,4,7}:{(12,1),(14,1),(35,1),(40,1)}
       28:{1,2,4,6}:{(13,1),(14,1),(15,1),(33,1),(36,1),(41,1),(42,1),(43,1),(58,1),(60,1),(63,1)}
       29:{3,5}:{(15,1),(43,1),(44,1)}
       30:{2,3}:{(16,1)}
       31:{1,3}:{(17,1)}
       32:{1,3,7}:{(18,1),(26,1),(45,1),(55,1)}
       33:{1,2,6}:{(18,1),(19,1),(45,1),(46,1)}
       34:{2,3,5}:{(19,1),(29,1),(30,1),(46,1),(47,1),(67,1)}
       35:{2,3,7}:{(20,1),(27,1),(48,1),(55,1)}
       36:{1,2,6}:{(20,1),(21,1),(48,1),(49,1)}
       37:{1,3,5}:{(21,1),(29,1),(31,1),(49,1),(50,1),(69,1)}
       38:{3,6,7}:{(22,1),(23,1),(51,1),(52,1)}
       39:{1,5,7}:{(23,1),(24,1),(26,1),(51,1)}
       40:{2,5,7}:{(23,1),(25,1),(27,1),(52,1)}
       41:{1,2,5,6}:{(24,1),(25,1),(28,1),(53,1),(54,1),(67,1),(69,1),(79,1),(80,1)}
       42:{1,2,4,7}:{(26,1),(27,1),(28,1),(45,1),(48,1),(53,1),(55,1),(66,1),(68,1),(71,1)}
       43:{3,6}:{(28,1),(29,1),(55,1)}
       44:{3,4}:{(29,1),(47,1),(50,1)}
       45:{1,2,7}:{(32,1),(33,1),(57,1)}
       46:{2,3,6}:{(33,1),(34,1),(43,1),(57,1),(58,1)}
       47:{2,4}:{(34,1),(44,1)}
       48:{1,2,7}:{(35,1),(36,1),(59,1)}
       49:{1,3,6}:{(36,1),(37,1),(43,1),(59,1),(60,1)}
       50:{1,4}:{(37,1),(44,1)}
       51:{1,6,7}:{(38,1),(39,1)}
       52:{2,6,7}:{(38,1),(40,1)}
       53:{1,2,5,7}:{(39,1),(40,1),(41,1),(42,1),(61,1),(62,1),(74,1),(75,1)}
       54:{3,5,6}:{(41,1),(43,1),(62,1),(63,1),(65,1),(78,1),(83,1)}
       55:{3,7}:{(42,1),(43,1)}
       56:{3,4,6}:{(43,1),(44,1),(58,1),(60,1),(63,1),(64,1),(65,1),(78,1)}
       57:{2,3,7}:{(45,1),(46,1),(55,1),(66,1)}
       58:{2,4,6}:{(46,1),(47,1),(56,1),(66,1),(67,1),(79,1)}
       59:{1,3,7}:{(48,1),(49,1),(55,1),(68,1)}
       60:{1,4,6}:{(49,1),(50,1),(56,1),(68,1),(69,1),(80,1)}
       61:{1,2,6,7}:{(51,1),(52,1),(53,1),(70,1),(79,1),(80,1)}
       62:{3,5,7}:{(53,1),(54,1),(55,1),(70,1),(71,1),(81,1)}
       63:{4,6}:{(54,1),(71,1),(72,1)}
       64:{3,4,7}:{(55,1),(56,1),(66,1),(68,1),(71,1),(73,1)}
       65:{3,5}:{(56,1),(67,1),(69,1),(72,1)}
       66:{2,4,7}:{(57,1),(58,1),(64,1),(74,1)}
       67:{2,5}:{(58,1),(65,1)}
       68:{1,4,7}:{(59,1),(60,1),(64,1),(75,1)}
       69:{1,5}:{(60,1),(65,1)}
       70:{3,6,7}:{(61,1),(62,1),(76,1),(78,1)}
       71:{4,7}:{(62,1),(63,1)}
       72:{4,5}:{(63,1),(65,1)}
       73:{3,5,7}:{(64,1),(65,1),(74,1),(75,1),(77,1),(78,1)}
       74:{2,5,7}:{(66,1),(67,1),(73,1),(79,1)}
       75:{1,5,7}:{(68,1),(69,1),(73,1),(80,1)}
       76:{4,6,7}:{(70,1),(71,1),(81,1),(82,1)}
       77:{4,5,7}:{(71,1),(72,1),(73,1),(81,1),(82,1)}
       78:{3,6}:{(73,1),(79,1),(80,1),(82,1)}
       79:{2,6}:{(74,1),(78,1)}
       80:{1,6}:{(75,1),(78,1)}
       81:{5,7}:{(76,1),(83,1)}
       82:{4,6}:{(77,1),(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 715 :  0:{4,5,6}:{(2,1),(3,1),(48,1),(81,1)}
        1:{5,6,7}:{(6,1),(76,1)}
        2:{4,5,7}:{(0,1),(6,1),(7,1),(59,1),(76,1)}
        3:{3,5,6}:{(0,1),(5,1),(7,1),(8,1),(9,1)}
        4:{3,4,5}:{(5,1),(10,1),(11,1),(37,1),(60,1)}
        5:{3,4,6}:{(3,1),(4,1),(14,1),(15,1),(16,1),(45,1),(48,1)}
        6:{4,6,7}:{(1,1),(2,1),(17,1)}
        7:{3,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(19,1)}
        8:{1,5,6}:{(3,1),(15,1),(18,1)}
        9:{2,5,6}:{(3,1),(16,1),(19,1)}
       10:{1,4,5}:{(4,1),(15,1),(21,1)}
       11:{2,4,5}:{(4,1),(16,1),(22,1)}
       12:{1,3,4}:{(21,1),(24,1),(51,1)}
       13:{2,3,4}:{(22,1),(25,1),(51,1)}
       14:{3,4,7}:{(5,1),(7,1),(28,1),(29,1),(56,1),(59,1)}
       15:{1,4,6}:{(5,1),(8,1),(10,1),(26,1),(28,1)}
       16:{2,4,6}:{(5,1),(9,1),(11,1),(27,1),(29,1)}
       17:{3,6,7}:{(6,1),(7,1),(31,1),(32,1)}
       18:{1,5,7}:{(7,1),(8,1),(28,1),(31,1)}
       19:{2,5,7}:{(7,1),(9,1),(29,1),(32,1)}
       20:{1,2,5,6}:{(8,1),(9,1),(30,1),(33,1),(34,1),(72,1),(74,1),(82,1),(83,1)}
       21:{1,3,5}:{(10,1),(12,1),(26,1),(35,1),(37,1)}
       22:{2,3,5}:{(11,1),(13,1),(27,1),(36,1),(37,1)}
       23:{1,2,4,5}:{(10,1),(11,1),(30,1),(35,1),(36,1),(37,1),(60,1),(61,1),(62,1),(72,1),(74,1)}
       24:{1,2,4}:{(12,1),(35,1),(38,1),(61,1)}
       25:{1,2,4}:{(13,1),(36,1),(39,1),(62,1)}
       26:{1,3,6}:{(15,1),(21,1),(40,1),(41,1),(45,1)}
       27:{2,3,6}:{(16,1),(22,1),(42,1),(43,1),(45,1)}
       28:{1,4,7}:{(14,1),(15,1),(18,1),(40,1)}
       29:{2,4,7}:{(14,1),(16,1),(19,1),(42,1)}
       30:{1,2,4,6}:{(15,1),(16,1),(20,1),(23,1),(41,1),(43,1),(44,1),(45,1),(48,1),(64,1),(66,1)}
       31:{1,6,7}:{(17,1),(18,1)}
       32:{2,6,7}:{(17,1),(19,1)}
       33:{1,2,5,7}:{(18,1),(19,1),(20,1),(44,1),(46,1),(47,1),(78,1),(79,1)}
       34:{3,5,6}:{(20,1),(45,1),(47,1),(48,1),(68,1),(80,1),(81,1)}
       35:{1,2,5}:{(21,1),(24,1),(41,1),(49,1)}
       36:{1,2,5}:{(22,1),(25,1),(43,1),(50,1)}
       37:{3,5}:{(23,1),(45,1),(51,1)}
       38:{2,3}:{(24,1)}
       39:{1,3}:{(25,1)}
       40:{1,3,7}:{(26,1),(28,1),(52,1),(56,1)}
       41:{1,2,6}:{(26,1),(35,1),(52,1),(53,1)}
       42:{2,3,7}:{(27,1),(29,1),(54,1),(56,1)}
       43:{1,2,6}:{(27,1),(36,1),(54,1),(55,1)}
       44:{1,2,4,7}:{(28,1),(29,1),(30,1),(33,1),(52,1),(54,1),(56,1),(59,1),(71,1),(73,1)}
       45:{3,6}:{(30,1),(37,1),(56,1)}
       46:{1,2,6,7}:{(31,1),(32,1),(33,1),(58,1),(82,1),(83,1)}
       47:{3,5,7}:{(33,1),(34,1),(56,1),(58,1),(59,1),(76,1)}
       48:{4,6}:{(34,1),(59,1),(60,1)}
       49:{2,3,5}:{(35,1),(37,1),(38,1),(53,1),(61,1),(72,1)}
       50:{1,3,5}:{(36,1),(37,1),(39,1),(55,1),(62,1),(74,1)}
       51:{3,4}:{(37,1),(61,1),(62,1)}
       52:{1,2,7}:{(40,1),(41,1),(63,1)}
       53:{2,3,6}:{(41,1),(45,1),(49,1),(63,1),(64,1)}
       54:{1,2,7}:{(42,1),(43,1),(65,1)}
       55:{1,3,6}:{(43,1),(45,1),(50,1),(65,1),(66,1)}
       56:{3,7}:{(44,1),(45,1)}
       57:{3,4,6}:{(45,1),(48,1),(51,1),(64,1),(66,1),(67,1),(68,1),(80,1)}
       58:{3,6,7}:{(46,1),(47,1),(69,1),(80,1)}
       59:{4,7}:{(47,1),(48,1)}
       60:{4,5}:{(48,1),(68,1)}
       61:{2,4}:{(49,1),(51,1)}
       62:{1,4}:{(50,1),(51,1)}
       63:{2,3,7}:{(52,1),(53,1),(56,1),(71,1)}
       64:{2,4,6}:{(53,1),(57,1),(61,1),(71,1),(72,1),(82,1)}
       65:{1,3,7}:{(54,1),(55,1),(56,1),(73,1)}
       66:{1,4,6}:{(55,1),(57,1),(62,1),(73,1),(74,1),(83,1)}
       67:{3,4,7}:{(56,1),(57,1),(59,1),(71,1),(73,1),(75,1)}
       68:{3,5}:{(57,1),(60,1),(72,1),(74,1)}
       69:{4,6,7}:{(58,1),(59,1),(76,1),(77,1)}
       70:{4,5,7}:{(59,1),(60,1),(75,1),(76,1),(77,1)}
       71:{2,4,7}:{(63,1),(64,1),(67,1),(78,1)}
       72:{2,5}:{(64,1),(68,1)}
       73:{1,4,7}:{(65,1),(66,1),(67,1),(79,1)}
       74:{1,5}:{(66,1),(68,1)}
       75:{3,5,7}:{(67,1),(68,1),(70,1),(78,1),(79,1),(80,1)}
       76:{5,7}:{(69,1),(81,1)}
       77:{4,6}:{(70,1),(80,1),(81,1)}
       78:{2,5,7}:{(71,1),(72,1),(75,1),(82,1)}
       79:{1,5,7}:{(73,1),(74,1),(75,1),(83,1)}
       80:{3,6}:{(75,1),(77,1),(82,1),(83,1)}
       81:{5,6}:{(76,1),(77,1)}
       82:{2,6}:{(78,1),(80,1)}
       83:{1,6}:{(79,1),(80,1)}

 716 :  0:{5,6,7}:{(1,1),(58,1)}
        1:{4,6,7}:{(0,1),(3,1),(4,1)}
        2:{4,5,6}:{(3,1),(5,1),(50,1),(69,1)}
        3:{4,5,7}:{(1,1),(2,1),(7,1),(57,1),(58,1)}
        4:{3,6,7}:{(1,1),(7,1),(8,1),(9,1)}
        5:{3,5,6}:{(2,1),(7,1),(10,1),(11,1),(12,1)}
        6:{3,4,5}:{(10,1),(13,1),(14,1),(39,1),(62,1)}
        7:{3,5,7}:{(3,1),(4,1),(5,1),(17,1),(18,1),(19,1)}
        8:{1,6,7}:{(4,1),(18,1)}
        9:{2,6,7}:{(4,1),(19,1)}
       10:{3,4,6}:{(5,1),(6,1),(17,1),(21,1),(22,1),(49,1),(50,1)}
       11:{1,5,6}:{(5,1),(18,1),(21,1)}
       12:{2,5,6}:{(5,1),(19,1),(22,1)}
       13:{1,4,5}:{(6,1),(21,1),(24,1)}
       14:{2,4,5}:{(6,1),(22,1),(25,1)}
       15:{1,3,4}:{(24,1),(27,1),(53,1)}
       16:{2,3,4}:{(25,1),(28,1),(53,1)}
       17:{3,4,7}:{(7,1),(10,1),(29,1),(30,1),(56,1),(57,1)}
       18:{1,5,7}:{(7,1),(8,1),(11,1),(29,1)}
       19:{2,5,7}:{(7,1),(9,1),(12,1),(30,1)}
       20:{1,2,6,7}:{(8,1),(9,1),(31,1),(32,1),(82,1),(83,1)}
       21:{1,4,6}:{(10,1),(11,1),(13,1),(29,1),(33,1)}
       22:{2,4,6}:{(10,1),(12,1),(14,1),(30,1),(34,1)}
       23:{1,2,5,6}:{(11,1),(12,1),(31,1),(35,1),(36,1),(77,1),(78,1),(82,1),(83,1)}
       24:{1,3,5}:{(13,1),(15,1),(33,1),(37,1),(39,1)}
       25:{2,3,5}:{(14,1),(16,1),(34,1),(38,1),(39,1)}
       26:{1,2,4,5}:{(13,1),(14,1),(35,1),(37,1),(38,1),(39,1),(62,1),(63,1),(64,1),(77,1),(78,1)}
       27:{1,2,4}:{(15,1),(37,1),(40,1),(63,1)}
       28:{1,2,4}:{(16,1),(38,1),(41,1),(64,1)}
       29:{1,4,7}:{(17,1),(18,1),(21,1),(42,1)}
       30:{2,4,7}:{(17,1),(19,1),(22,1),(43,1)}
       31:{1,2,5,7}:{(18,1),(19,1),(20,1),(23,1),(44,1),(45,1),(79,1),(80,1)}
       32:{3,6,7}:{(20,1),(45,1),(46,1),(81,1)}
       33:{1,3,6}:{(21,1),(24,1),(42,1),(47,1),(49,1)}
       34:{2,3,6}:{(22,1),(25,1),(43,1),(48,1),(49,1)}
       35:{1,2,4,6}:{(21,1),(22,1),(23,1),(26,1),(44,1),(47,1),(48,1),(49,1),(50,1),(70,1),(71,1)}
       36:{3,5,6}:{(23,1),(45,1),(49,1),(50,1),(69,1),(72,1),(81,1)}
       37:{1,2,5}:{(24,1),(27,1),(47,1),(51,1)}
       38:{1,2,5}:{(25,1),(28,1),(48,1),(52,1)}
       39:{3,5}:{(26,1),(49,1),(53,1)}
       40:{2,3}:{(27,1)}
       41:{1,3}:{(28,1)}
       42:{1,3,7}:{(29,1),(33,1),(54,1),(56,1)}
       43:{2,3,7}:{(30,1),(34,1),(55,1),(56,1)}
       44:{1,2,4,7}:{(29,1),(30,1),(31,1),(35,1),(54,1),(55,1),(56,1),(57,1),(73,1),(74,1)}
       45:{3,5,7}:{(31,1),(32,1),(36,1),(56,1),(57,1),(58,1)}
       46:{4,6,7}:{(32,1),(57,1),(58,1),(76,1)}
       47:{1,2,6}:{(33,1),(37,1),(54,1),(59,1)}
       48:{1,2,6}:{(34,1),(38,1),(55,1),(60,1)}
       49:{3,6}:{(35,1),(39,1),(56,1)}
       50:{4,6}:{(36,1),(57,1),(62,1)}
       51:{2,3,5}:{(37,1),(39,1),(40,1),(59,1),(63,1),(77,1)}
       52:{1,3,5}:{(38,1),(39,1),(41,1),(60,1),(64,1),(78,1)}
       53:{3,4}:{(39,1),(63,1),(64,1)}
       54:{1,2,7}:{(42,1),(47,1),(65,1)}
       55:{1,2,7}:{(43,1),(48,1),(66,1)}
       56:{3,7}:{(44,1),(49,1)}
       57:{4,7}:{(45,1),(50,1)}
       58:{5,7}:{(46,1),(69,1)}
       59:{2,3,6}:{(47,1),(49,1),(51,1),(65,1),(70,1)}
       60:{1,3,6}:{(48,1),(49,1),(52,1),(66,1),(71,1)}
       61:{3,4,6}:{(49,1),(50,1),(53,1),(67,1),(70,1),(71,1),(72,1),(81,1)}
       62:{4,5}:{(50,1),(72,1)}
       63:{2,4}:{(51,1),(53,1)}
       64:{1,4}:{(52,1),(53,1)}
       65:{2,3,7}:{(54,1),(56,1),(59,1),(73,1)}
       66:{1,3,7}:{(55,1),(56,1),(60,1),(74,1)}
       67:{3,4,7}:{(56,1),(57,1),(61,1),(73,1),(74,1),(75,1)}
       68:{4,5,7}:{(57,1),(58,1),(62,1),(75,1),(76,1)}
       69:{5,6}:{(58,1),(76,1)}
       70:{2,4,6}:{(59,1),(61,1),(63,1),(73,1),(77,1),(82,1)}
       71:{1,4,6}:{(60,1),(61,1),(64,1),(74,1),(78,1),(83,1)}
       72:{3,5}:{(61,1),(62,1),(77,1),(78,1)}
       73:{2,4,7}:{(65,1),(67,1),(70,1),(79,1)}
       74:{1,4,7}:{(66,1),(67,1),(71,1),(80,1)}
       75:{3,5,7}:{(67,1),(68,1),(72,1),(79,1),(80,1),(81,1)}
       76:{4,6}:{(68,1),(69,1),(81,1)}
       77:{2,5}:{(70,1),(72,1)}
       78:{1,5}:{(71,1),(72,1)}
       79:{2,5,7}:{(73,1),(75,1),(77,1),(82,1)}
       80:{1,5,7}:{(74,1),(75,1),(78,1),(83,1)}
       81:{3,6}:{(75,1),(76,1),(82,1),(83,1)}
       82:{2,6}:{(79,1),(81,1)}
       83:{1,6}:{(80,1),(81,1)}

 717 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(27,1),(28,1),(34,1),(37,1),(38,1),(39,1),(76,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(42,1),(43,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(25,1),(46,1),(47,1),(55,1),(59,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(31,1),(32,1),(34,1)}
         4:{3,4,6}:{(1,1),(8,1),(12,1),(37,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(12,1),(62,1),(63,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(37,1),(66,1),(67,1),(76,1)}
         7:{1,2,4,5,6}:{(3,1),(14,1),(15,1),(20,1),(42,1),(43,1),(45,1),(88,1),(89,1),(90,1)}
         8:{3,5}:{(3,1),(4,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(19,1),(20,1),(25,1),(51,1),(52,1),(55,1),(60,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(21,1),(22,1),(42,1),(56,1),(78,1),(85,1),(104,1)}
        11:{2,3,4,6}:{(4,1),(18,1),(21,1),(23,1),(43,1),(57,1),(78,1),(85,1),(104,1)}
        12:{3,4,7}:{(4,1),(5,1),(19,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(24,1),(25,1),(80,1),(81,1)}
        14:{3,5,6}:{(7,1),(8,1),(26,1),(29,1),(37,1)}
        15:{1,2,4,5,7}:{(7,1),(29,1),(30,1),(62,1),(63,1),(65,1),(95,1),(96,1),(97,1)}
        16:{3,4,5}:{(8,1),(26,1),(31,1),(32,1),(69,1)}
        17:{1,3,5}:{(8,1),(10,1),(31,1),(34,1),(69,1),(108,1)}
        18:{2,3,5}:{(8,1),(11,1),(32,1),(34,1),(69,1),(108,1)}
        19:{3,5,7}:{(8,1),(9,1),(12,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(37,1),(38,1),(71,1),(72,1),(76,1),(77,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(34,1),(39,1),(40,1),(74,1),(76,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(35,1),(40,1),(62,1),(93,1),(98,1)}
        23:{2,3,4,7}:{(11,1),(12,1),(36,1),(40,1),(63,1),(93,1),(98,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(41,1),(77,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(41,1),(95,1),(96,1)}
        26:{3,4,6}:{(14,1),(16,1),(42,1),(43,1),(44,1),(78,1)}
        27:{1,3,5,6}:{(14,1),(17,1),(42,1),(45,1),(46,1),(56,1),(78,1),(88,1),(105,1)}
        28:{2,3,5,6}:{(14,1),(18,1),(43,1),(45,1),(47,1),(57,1),(78,1),(89,1),(105,1)}
        29:{3,5,7}:{(14,1),(15,1),(44,1),(48,1)}
        30:{1,2,4,6,7}:{(15,1),(20,1),(48,1),(49,1),(80,1),(81,1),(83,1),(84,1)}
        31:{1,4,5}:{(16,1),(17,1),(42,1),(111,1)}
        32:{2,4,5}:{(16,1),(18,1),(43,1),(111,1)}
        33:{3,4,5,7}:{(16,1),(19,1),(44,1),(51,1),(52,1),(53,1),(60,1),(82,1),(86,1),(110,1),(111,1)}
        34:{1,2,5}:{(17,1),(18,1),(21,1)}
        35:{1,3,5,7}:{(17,1),(19,1),(22,1),(51,1),(55,1),(56,1),(86,1)}
        36:{2,3,5,7}:{(18,1),(19,1),(23,1),(52,1),(55,1),(57,1),(86,1)}
        37:{3,6}:{(19,1),(20,1)}
        38:{1,2,5,6}:{(20,1),(25,1),(58,1),(88,1),(89,1)}
        39:{1,2,3,6}:{(21,1),(54,1),(59,1),(78,1)}
        40:{1,2,4,7}:{(21,1),(22,1),(23,1),(55,1),(59,1)}
        41:{3,5,7}:{(24,1),(25,1),(58,1),(60,1)}
        42:{1,4,6}:{(26,1),(27,1),(31,1),(62,1),(109,1)}
        43:{2,4,6}:{(26,1),(28,1),(32,1),(63,1),(109,1)}
        44:{3,4,7}:{(26,1),(29,1),(62,1),(63,1),(93,1)}
        45:{1,2,5,6}:{(27,1),(28,1),(34,1),(61,1),(65,1),(76,1)}
        46:{1,3,5,7}:{(27,1),(29,1),(62,1),(65,1),(66,1),(93,1),(95,1),(107,1)}
        47:{2,3,5,7}:{(28,1),(29,1),(63,1),(65,1),(67,1),(93,1),(96,1),(107,1)}
        48:{3,6,7}:{(29,1),(30,1),(37,1)}
        49:{1,2,5,6,7}:{(30,1),(38,1),(68,1),(95,1),(96,1)}
        50:{1,2,4,5}:{(31,1),(32,1),(34,1),(61,1),(69,1),(74,1)}
        51:{1,4,5,7}:{(31,1),(33,1),(35,1),(62,1),(71,1),(95,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(36,1),(63,1),(72,1),(96,1)}
        53:{3,4,6}:{(33,1),(37,1),(71,1),(72,1),(73,1),(77,1),(99,1),(109,1)}
        54:{1,2,3,5}:{(34,1),(39,1),(69,1),(74,1)}
        55:{1,2,5,7}:{(34,1),(35,1),(36,1),(40,1),(76,1)}
        56:{1,3,6}:{(35,1),(37,1),(71,1),(76,1),(99,1)}
        57:{2,3,6}:{(36,1),(37,1),(72,1),(76,1),(99,1)}
        58:{3,5,6}:{(37,1),(38,1),(41,1),(77,1)}
        59:{1,2,3,7}:{(39,1),(40,1),(93,1)}
        60:{4,5,7}:{(41,1),(77,1)}
        61:{1,2,4,6}:{(42,1),(43,1),(45,1),(50,1),(78,1),(79,1)}
        62:{1,4,7}:{(42,1),(44,1),(46,1),(110,1)}
        63:{2,4,7}:{(43,1),(44,1),(47,1),(110,1)}
        64:{3,4,6,7}:{(44,1),(48,1),(53,1),(80,1),(81,1),(82,1),(84,1),(102,1),(110,1)}
        65:{1,2,5,7}:{(45,1),(46,1),(47,1),(79,1),(83,1)}
        66:{1,3,6,7}:{(46,1),(48,1),(56,1),(80,1),(83,1),(102,1)}
        67:{2,3,6,7}:{(47,1),(48,1),(57,1),(81,1),(83,1),(102,1)}
        68:{3,5,6,7}:{(48,1),(49,1),(58,1),(82,1),(84,1)}
        69:{3,5}:{(50,1),(78,1),(85,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(52,1),(55,1),(79,1),(86,1),(87,1),(91,1),(103,1),(106,1),(110,1),(111,1)}
        71:{1,4,6}:{(51,1),(53,1),(56,1),(88,1)}
        72:{2,4,6}:{(52,1),(53,1),(57,1),(89,1)}
        73:{3,5,6}:{(53,1),(82,1),(88,1),(89,1),(90,1)}
        74:{1,2,4}:{(54,1),(85,1)}
        75:{1,2,3,5,7}:{(54,1),(55,1),(59,1),(86,1),(91,1),(92,1),(106,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{4,6}:{(58,1),(60,1)}
        78:{3,6}:{(61,1),(69,1),(93,1)}
        79:{1,2,4,7}:{(61,1),(62,1),(63,1),(65,1),(93,1)}
        80:{1,4,6,7}:{(62,1),(64,1),(66,1),(71,1),(95,1)}
        81:{2,4,6,7}:{(63,1),(64,1),(67,1),(72,1),(96,1)}
        82:{3,5,7}:{(64,1),(73,1),(95,1),(96,1),(97,1)}
        83:{1,2,6,7}:{(65,1),(66,1),(67,1),(76,1)}
        84:{4,6,7}:{(68,1),(77,1),(97,1)}
        85:{3,4}:{(69,1),(74,1)}
        86:{3,5,7}:{(69,1),(70,1),(93,1),(98,1),(99,1),(108,1)}
        87:{1,2,4,6}:{(70,1),(71,1),(72,1),(76,1),(99,1),(100,1),(109,1)}
        88:{1,5,6}:{(71,1),(73,1),(95,1)}
        89:{2,5,6}:{(72,1),(73,1),(96,1)}
        90:{4,5,6}:{(73,1),(77,1),(97,1),(109,1)}
        91:{1,2,4,7}:{(74,1),(75,1),(98,1),(101,1)}
        92:{1,2,3,6}:{(75,1),(76,1),(99,1),(101,1)}
        93:{3,7}:{(78,1),(79,1)}
        94:{1,2,4,6,7}:{(79,1),(80,1),(81,1),(83,1),(87,1),(102,1),(103,1),(110,1)}
        95:{1,5,7}:{(80,1),(82,1),(88,1)}
        96:{2,5,7}:{(81,1),(82,1),(89,1)}
        97:{4,5,7}:{(82,1),(84,1),(90,1),(110,1)}
        98:{3,4,7}:{(85,1),(86,1),(91,1),(104,1),(110,1)}
        99:{3,6}:{(86,1),(87,1)}
       100:{1,2,5,6}:{(87,1),(88,1),(89,1),(103,1),(105,1),(106,1)}
       101:{1,2,4,6}:{(91,1),(92,1),(104,1),(106,1)}
       102:{3,6,7}:{(93,1),(94,1),(99,1),(107,1)}
       103:{1,2,5,7}:{(94,1),(95,1),(96,1),(100,1),(107,1)}
       104:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       105:{3,5,6}:{(99,1),(100,1),(107,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(108,1)}
       107:{3,5,7}:{(102,1),(103,1),(105,1),(110,1)}
       108:{3,5}:{(104,1),(106,1),(111,1)}
       109:{4,6}:{(105,1),(110,1),(111,1)}
       110:{4,7}:{(107,1),(109,1)}
       111:{4,5}:{(108,1),(109,1)}

 718 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(11,1),(27,1),(31,1),(70,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(91,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(45,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(11,1),(22,1),(23,1),(26,1),(27,1),(35,1),(64,1),(71,1),(106,1)}
         4:{3,4,7}:{(1,1),(6,1),(10,1),(64,1),(113,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1)}
         6:{3,5,7}:{(3,1),(4,1),(16,1),(21,1),(92,1),(125,1)}
         7:{1,2,4,6}:{(3,1),(16,1),(17,1),(38,1),(39,1),(45,1),(48,1)}
         8:{1,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(79,1),(85,1),(125,1),(130,1)}
         9:{2,3,4,7}:{(4,1),(15,1),(18,1),(20,1),(79,1),(86,1),(125,1),(131,1)}
        10:{3,4,6}:{(4,1),(5,1),(16,1),(21,1),(48,1)}
        11:{1,2,5}:{(5,1),(21,1)}
        12:{3,4,5,7}:{(6,1),(22,1),(23,1),(24,1),(35,1),(55,1),(56,1),(64,1),(72,1),(73,1),(107,1),(108,1),(135,1),(138,1)}
        13:{1,2,4,6,7}:{(7,1),(25,1),(26,1),(53,1),(54,1),(61,1),(64,1),(106,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(22,1),(27,1),(28,1),(33,1),(56,1),(114,1),(139,1)}
        15:{2,3,5,7}:{(6,1),(9,1),(23,1),(27,1),(29,1),(34,1),(56,1),(115,1),(140,1)}
        16:{3,6}:{(6,1),(7,1)}
        17:{1,2,5,6}:{(7,1),(11,1),(26,1),(30,1),(58,1),(59,1)}
        18:{1,2,4,7}:{(8,1),(9,1),(27,1),(31,1),(32,1),(142,1)}
        19:{1,3,4,6}:{(8,1),(10,1),(28,1),(32,1),(33,1),(68,1),(102,1),(110,1),(113,1)}
        20:{2,3,4,6}:{(9,1),(10,1),(29,1),(32,1),(34,1),(69,1),(102,1),(110,1),(113,1)}
        21:{3,5}:{(10,1),(11,1),(35,1)}
        22:{1,4,5,7}:{(12,1),(14,1),(38,1),(51,1),(76,1),(85,1),(94,1),(127,1)}
        23:{2,4,5,7}:{(12,1),(15,1),(39,1),(52,1),(77,1),(86,1),(93,1),(126,1)}
        24:{3,4,6}:{(12,1),(16,1),(38,1),(39,1),(40,1),(48,1),(80,1),(122,1)}
        25:{3,6,7}:{(13,1),(16,1),(43,1),(125,1)}
        26:{1,2,5,7}:{(13,1),(17,1),(43,1),(76,1),(77,1)}
        27:{1,2,5,7}:{(14,1),(15,1),(18,1),(45,1),(50,1),(132,1),(145,1)}
        28:{1,3,6}:{(14,1),(16,1),(38,1),(45,1),(80,1)}
        29:{2,3,6}:{(15,1),(16,1),(39,1),(45,1),(80,1)}
        30:{3,5,6}:{(16,1),(17,1),(21,1),(43,1),(48,1)}
        31:{1,2,3,7}:{(18,1),(49,1),(125,1),(145,1),(146,1)}
        32:{1,2,4,6}:{(18,1),(19,1),(20,1),(45,1),(49,1),(50,1),(91,1)}
        33:{1,3,5}:{(19,1),(21,1),(50,1),(51,1),(92,1),(121,1)}
        34:{2,3,5}:{(20,1),(21,1),(50,1),(52,1),(92,1),(121,1)}
        35:{4,5}:{(21,1),(48,1)}
        36:{3,4,6,7}:{(24,1),(25,1),(53,1),(54,1),(55,1),(64,1),(97,1),(98,1),(107,1),(108,1),(133,1),(134,1),(135,1)}
        37:{1,2,4,5,7}:{(22,1),(23,1),(27,1),(56,1),(57,1),(65,1),(71,1),(99,1),(106,1),(109,1),(135,1),(138,1)}
        38:{1,4,6}:{(22,1),(24,1),(28,1),(58,1)}
        39:{2,4,6}:{(23,1),(24,1),(29,1),(59,1)}
        40:{3,5,6}:{(24,1),(55,1),(58,1),(59,1),(60,1)}
        41:{1,3,6,7}:{(25,1),(28,1),(53,1),(61,1),(62,1),(98,1),(133,1),(139,1)}
        42:{2,3,6,7}:{(25,1),(29,1),(54,1),(61,1),(63,1),(98,1),(134,1),(140,1)}
        43:{3,5,7}:{(25,1),(26,1),(30,1),(64,1)}
        44:{1,2,3,5,7}:{(27,1),(31,1),(56,1),(65,1),(66,1),(70,1),(109,1)}
        45:{1,2,6}:{(27,1),(28,1),(29,1)}
        46:{1,3,5,6}:{(28,1),(30,1),(33,1),(58,1),(62,1),(67,1),(68,1),(103,1),(104,1),(110,1)}
        47:{2,3,5,6}:{(29,1),(30,1),(34,1),(59,1),(63,1),(67,1),(69,1),(103,1),(105,1),(110,1)}
        48:{4,6}:{(30,1),(35,1),(64,1)}
        49:{1,2,3,6}:{(31,1),(32,1),(70,1),(110,1),(141,1)}
        50:{1,2,5}:{(32,1),(33,1),(34,1)}
        51:{1,4,5}:{(33,1),(35,1),(68,1),(72,1),(138,1)}
        52:{2,4,5}:{(34,1),(35,1),(69,1),(73,1),(138,1)}
        53:{1,4,6,7}:{(36,1),(38,1),(41,1),(76,1),(85,1),(127,1),(144,1)}
        54:{2,4,6,7}:{(36,1),(39,1),(42,1),(77,1),(86,1),(126,1),(143,1)}
        55:{3,5,7}:{(36,1),(40,1),(76,1),(77,1),(78,1)}
        56:{3,5,7}:{(37,1),(79,1),(80,1),(92,1),(121,1),(125,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(39,1),(45,1),(80,1),(81,1),(122,1)}
        58:{1,5,6}:{(38,1),(40,1),(76,1)}
        59:{2,5,6}:{(39,1),(40,1),(77,1)}
        60:{4,5,6}:{(40,1),(48,1),(78,1),(122,1)}
        61:{1,2,6,7}:{(41,1),(42,1),(45,1),(84,1),(143,1),(144,1),(145,1)}
        62:{1,3,5,7}:{(41,1),(43,1),(46,1),(76,1),(84,1),(85,1),(118,1),(119,1),(125,1)}
        63:{2,3,5,7}:{(42,1),(43,1),(47,1),(77,1),(84,1),(86,1),(118,1),(120,1),(125,1)}
        64:{4,7}:{(43,1),(48,1)}
        65:{1,2,4,7}:{(44,1),(79,1),(87,1),(91,1)}
        66:{1,2,3,6}:{(44,1),(45,1),(80,1),(87,1)}
        67:{1,2,5,6}:{(45,1),(46,1),(47,1),(50,1),(84,1),(88,1),(123,1),(124,1)}
        68:{1,4,6}:{(46,1),(48,1),(51,1),(85,1),(89,1),(122,1)}
        69:{2,4,6}:{(47,1),(48,1),(52,1),(86,1),(90,1),(122,1)}
        70:{1,2,3,5}:{(49,1),(50,1),(91,1),(92,1),(132,1),(146,1)}
        71:{1,2,4,5}:{(50,1),(51,1),(52,1),(88,1),(91,1),(92,1),(93,1),(94,1),(132,1)}
        72:{3,4,5}:{(51,1),(89,1),(92,1),(93,1)}
        73:{3,4,5}:{(52,1),(90,1),(92,1),(94,1)}
        74:{3,5,6,7}:{(55,1),(95,1),(96,1),(97,1),(133,1),(134,1)}
        75:{1,2,4,6,7}:{(53,1),(54,1),(57,1),(61,1),(98,1),(99,1),(106,1),(135,1)}
        76:{1,5,7}:{(53,1),(55,1),(58,1)}
        77:{2,5,7}:{(54,1),(55,1),(59,1)}
        78:{4,5,7}:{(55,1),(60,1),(64,1),(97,1),(135,1)}
        79:{3,4,7}:{(56,1),(65,1),(102,1),(113,1),(135,1)}
        80:{3,6}:{(56,1),(57,1)}
        81:{1,2,5,6}:{(57,1),(58,1),(59,1),(99,1),(103,1),(109,1)}
        82:{1,4,5,6}:{(58,1),(60,1),(68,1),(100,1),(104,1)}
        83:{2,4,5,6}:{(59,1),(60,1),(69,1),(101,1),(105,1)}
        84:{1,2,5,7}:{(61,1),(62,1),(63,1),(67,1),(106,1),(136,1),(137,1)}
        85:{1,4,7}:{(62,1),(64,1),(68,1),(107,1),(135,1)}
        86:{2,4,7}:{(63,1),(64,1),(69,1),(108,1),(135,1)}
        87:{1,2,4,6}:{(65,1),(66,1),(102,1),(109,1)}
        88:{1,2,4,6}:{(67,1),(68,1),(69,1),(71,1),(106,1),(110,1),(111,1),(112,1),(141,1)}
        89:{3,4,6}:{(68,1),(72,1),(104,1),(107,1),(110,1),(111,1)}
        90:{3,4,6}:{(69,1),(73,1),(105,1),(108,1),(110,1),(112,1)}
        91:{1,2,4}:{(70,1),(113,1)}
        92:{3,5}:{(71,1),(110,1),(113,1)}
        93:{2,4,5}:{(72,1),(111,1),(115,1)}
        94:{1,4,5}:{(73,1),(112,1),(114,1)}
        95:{1,5,6,7}:{(74,1),(76,1),(116,1),(144,1)}
        96:{2,5,6,7}:{(74,1),(77,1),(117,1),(143,1)}
        97:{4,6,7}:{(74,1),(78,1)}
        98:{3,6,7}:{(75,1),(80,1),(118,1),(125,1)}
        99:{1,2,5,7}:{(75,1),(76,1),(77,1),(81,1),(118,1)}
       100:{1,4,5,7}:{(76,1),(78,1),(82,1),(85,1),(116,1),(119,1)}
       101:{2,4,5,7}:{(77,1),(78,1),(83,1),(86,1),(117,1),(120,1)}
       102:{3,4,6}:{(79,1),(80,1),(87,1),(121,1),(122,1)}
       103:{3,5,6}:{(80,1),(81,1),(118,1),(121,1),(122,1)}
       104:{3,5,6}:{(82,1),(89,1),(119,1),(123,1)}
       105:{3,5,6}:{(83,1),(90,1),(120,1),(124,1)}
       106:{1,2,4,7}:{(84,1),(85,1),(86,1),(88,1),(125,1),(126,1),(127,1),(145,1)}
       107:{3,4,7}:{(85,1),(89,1),(119,1),(125,1),(126,1)}
       108:{3,4,7}:{(86,1),(90,1),(120,1),(125,1),(127,1)}
       109:{1,2,5}:{(87,1),(121,1)}
       110:{3,6}:{(88,1),(92,1),(125,1)}
       111:{2,4,6}:{(89,1),(93,1),(123,1),(126,1),(129,1)}
       112:{1,4,6}:{(90,1),(94,1),(124,1),(127,1),(128,1)}
       113:{3,4}:{(91,1),(92,1)}
       114:{1,3,5}:{(92,1),(94,1),(128,1),(130,1),(132,1)}
       115:{2,3,5}:{(92,1),(93,1),(129,1),(131,1),(132,1)}
       116:{1,4,6,7}:{(95,1),(97,1),(100,1),(133,1)}
       117:{2,4,6,7}:{(96,1),(97,1),(101,1),(134,1)}
       118:{3,5,7}:{(98,1),(99,1),(103,1),(135,1)}
       119:{3,5,7}:{(100,1),(104,1),(107,1),(133,1),(136,1)}
       120:{3,5,7}:{(101,1),(105,1),(108,1),(134,1),(137,1)}
       121:{3,5}:{(102,1),(109,1),(138,1)}
       122:{4,6}:{(103,1),(135,1),(138,1)}
       123:{2,5,6}:{(104,1),(111,1),(136,1)}
       124:{1,5,6}:{(105,1),(112,1),(137,1)}
       125:{3,7}:{(106,1),(110,1)}
       126:{2,4,7}:{(107,1),(111,1),(136,1),(140,1)}
       127:{1,4,7}:{(108,1),(112,1),(137,1),(139,1)}
       128:{1,3,6}:{(110,1),(112,1),(114,1),(139,1),(141,1)}
       129:{2,3,6}:{(110,1),(111,1),(115,1),(140,1),(141,1)}
       130:{1,3,4}:{(113,1),(114,1),(142,1)}
       131:{2,3,4}:{(113,1),(115,1),(142,1)}
       132:{1,2,5}:{(114,1),(115,1),(141,1),(142,1)}
       133:{3,6,7}:{(116,1),(119,1),(143,1)}
       134:{3,6,7}:{(117,1),(120,1),(144,1)}
       135:{4,7}:{(118,1),(122,1)}
       136:{2,5,7}:{(119,1),(123,1),(126,1),(143,1)}
       137:{1,5,7}:{(120,1),(124,1),(127,1),(144,1)}
       138:{4,5}:{(121,1),(122,1)}
       139:{1,3,7}:{(125,1),(127,1),(128,1),(145,1)}
       140:{2,3,7}:{(125,1),(126,1),(129,1),(145,1)}
       141:{1,2,6}:{(128,1),(129,1),(132,1),(145,1)}
       142:{1,2,4}:{(130,1),(131,1),(132,1),(146,1)}
       143:{2,6,7}:{(133,1),(136,1)}
       144:{1,6,7}:{(134,1),(137,1)}
       145:{1,2,7}:{(139,1),(140,1),(141,1)}
       146:{1,2,3}:{(142,1)}

 719 :   0:{1,2,3,6,7}:{(1,1),(2,1),(26,1),(56,1),(57,1),(61,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(6,1),(15,1),(68,1),(69,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(43,1),(48,1),(75,1),(76,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(11,1),(22,1),(26,1)}
         4:{1,2,5,7}:{(1,1),(7,1),(8,1),(85,1),(86,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(10,1),(26,1),(29,1),(59,1),(60,1),(61,1),(65,1),(66,1)}
         6:{1,2,4,7}:{(2,1),(10,1),(11,1),(91,1),(92,1)}
         7:{3,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{1,2,5,6}:{(4,1),(12,1),(15,1),(70,1),(71,1)}
         9:{1,2,4,5,7}:{(4,1),(6,1),(13,1),(15,1),(16,1),(17,1),(36,1),(37,1),(43,1)}
        10:{1,2,4,6}:{(5,1),(6,1),(17,1),(18,1),(78,1),(79,1)}
        11:{3,4,7}:{(6,1),(16,1),(18,1)}
        12:{3,5,6}:{(7,1),(8,1),(22,1),(26,1)}
        13:{4,5,7}:{(7,1),(22,1)}
        14:{1,2,5,6,7}:{(8,1),(21,1),(24,1),(85,1),(86,1)}
        15:{1,2,4,6}:{(8,1),(9,1),(22,1),(26,1),(52,1),(53,1),(61,1)}
        16:{3,5,7}:{(9,1),(11,1),(26,1),(29,1)}
        17:{1,2,4,5}:{(10,1),(29,1),(63,1),(64,1),(65,1)}
        18:{3,4,6}:{(10,1),(11,1),(26,1),(29,1)}
        19:{1,3,4,7}:{(11,1),(27,1),(30,1),(32,1),(90,1),(91,1),(109,1)}
        20:{2,3,4,7}:{(11,1),(28,1),(31,1),(32,1),(90,1),(92,1),(109,1)}
        21:{3,5,6,7}:{(12,1),(14,1),(33,1),(39,1),(67,1)}
        22:{4,6}:{(12,1),(13,1)}
        23:{3,4,5,7}:{(13,1),(16,1),(35,1),(36,1),(37,1),(44,1),(67,1),(73,1),(74,1),(110,1),(111,1)}
        24:{1,2,4,6,7}:{(14,1),(15,1),(33,1),(38,1),(39,1),(68,1),(69,1),(77,1)}
        25:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(38,1),(40,1),(70,1),(71,1),(78,1),(79,1),(80,1)}
        26:{3,6}:{(15,1),(16,1)}
        27:{1,3,5,7}:{(16,1),(19,1),(36,1),(41,1),(43,1),(45,1),(73,1)}
        28:{2,3,5,7}:{(16,1),(20,1),(37,1),(42,1),(43,1),(46,1),(73,1)}
        29:{3,5}:{(17,1),(18,1)}
        30:{1,3,4,6}:{(18,1),(19,1),(41,1),(45,1),(47,1),(78,1),(101,1),(103,1),(105,1)}
        31:{2,3,4,6}:{(18,1),(20,1),(42,1),(46,1),(47,1),(79,1),(101,1),(103,1),(105,1)}
        32:{1,2,4,7}:{(19,1),(20,1),(43,1),(47,1),(48,1)}
        33:{4,6,7}:{(21,1),(22,1),(49,1)}
        34:{4,5,6}:{(22,1),(49,1),(51,1),(107,1)}
        35:{3,4,6}:{(22,1),(23,1),(26,1),(51,1),(52,1),(53,1),(89,1),(107,1)}
        36:{1,4,5,7}:{(23,1),(27,1),(52,1),(63,1),(85,1),(91,1)}
        37:{2,4,5,7}:{(23,1),(28,1),(53,1),(64,1),(86,1),(92,1)}
        38:{1,2,4,5,7}:{(24,1),(25,1),(49,1),(55,1),(85,1),(86,1),(91,1),(92,1),(93,1)}
        39:{3,6,7}:{(24,1),(26,1),(55,1)}
        40:{3,5,6}:{(25,1),(26,1),(29,1),(55,1),(58,1)}
        41:{1,3,6}:{(26,1),(27,1),(52,1),(61,1),(89,1)}
        42:{2,3,6}:{(26,1),(28,1),(53,1),(61,1),(89,1)}
        43:{1,2,5,7}:{(27,1),(28,1),(32,1),(61,1),(65,1)}
        44:{3,4,5}:{(29,1),(58,1),(63,1),(64,1),(96,1)}
        45:{1,3,5}:{(29,1),(30,1),(63,1),(65,1),(96,1),(108,1)}
        46:{2,3,5}:{(29,1),(31,1),(64,1),(65,1),(96,1),(108,1)}
        47:{1,2,4,6}:{(30,1),(31,1),(32,1),(61,1),(65,1),(66,1),(97,1)}
        48:{1,2,3,7}:{(32,1),(66,1),(109,1)}
        49:{4,5,7}:{(33,1),(34,1),(67,1),(110,1)}
        50:{3,4,6,7}:{(33,1),(35,1),(39,1),(67,1),(68,1),(69,1),(74,1),(99,1),(110,1)}
        51:{3,5,6}:{(34,1),(35,1),(67,1),(70,1),(71,1)}
        52:{1,4,6}:{(35,1),(36,1),(41,1),(70,1)}
        53:{2,4,6}:{(35,1),(37,1),(42,1),(71,1)}
        54:{1,2,4,5,7}:{(36,1),(37,1),(43,1),(72,1),(73,1),(82,1),(83,1),(98,1),(102,1),(104,1),(110,1),(111,1)}
        55:{3,5,7}:{(38,1),(39,1),(40,1),(74,1)}
        56:{1,3,6,7}:{(39,1),(41,1),(68,1),(75,1),(77,1),(99,1)}
        57:{2,3,6,7}:{(39,1),(42,1),(69,1),(76,1),(77,1),(99,1)}
        58:{3,4,6}:{(40,1),(44,1),(74,1),(78,1),(79,1),(103,1)}
        59:{1,3,5,6}:{(40,1),(41,1),(45,1),(70,1),(75,1),(78,1),(80,1),(100,1),(103,1)}
        60:{2,3,5,6}:{(40,1),(42,1),(46,1),(71,1),(76,1),(79,1),(80,1),(100,1),(103,1)}
        61:{1,2,6}:{(41,1),(42,1),(43,1)}
        62:{1,2,3,5,7}:{(43,1),(48,1),(73,1),(81,1),(82,1),(84,1),(104,1)}
        63:{1,4,5}:{(44,1),(45,1),(78,1),(111,1)}
        64:{2,4,5}:{(44,1),(46,1),(79,1),(111,1)}
        65:{1,2,5}:{(45,1),(46,1),(47,1)}
        66:{1,2,3,6}:{(47,1),(48,1),(84,1),(103,1)}
        67:{3,5,7}:{(49,1),(50,1),(51,1),(85,1),(86,1)}
        68:{1,4,6,7}:{(50,1),(52,1),(56,1),(85,1),(91,1)}
        69:{2,4,6,7}:{(50,1),(53,1),(57,1),(86,1),(92,1)}
        70:{1,5,6}:{(51,1),(52,1),(85,1)}
        71:{2,5,6}:{(51,1),(53,1),(86,1)}
        72:{1,2,4,6}:{(52,1),(53,1),(54,1),(61,1),(88,1),(89,1),(107,1)}
        73:{3,5,7}:{(54,1),(89,1),(90,1),(96,1),(108,1),(109,1)}
        74:{3,4,7}:{(55,1),(58,1),(91,1),(92,1),(109,1)}
        75:{1,3,5,7}:{(55,1),(56,1),(59,1),(85,1),(91,1),(93,1),(106,1),(109,1)}
        76:{2,3,5,7}:{(55,1),(57,1),(60,1),(86,1),(92,1),(93,1),(106,1),(109,1)}
        77:{1,2,6,7}:{(56,1),(57,1),(61,1),(93,1)}
        78:{1,4,6}:{(58,1),(59,1),(63,1),(91,1),(107,1)}
        79:{2,4,6}:{(58,1),(60,1),(64,1),(92,1),(107,1)}
        80:{1,2,5,6}:{(59,1),(60,1),(61,1),(65,1),(93,1),(94,1)}
        81:{1,2,3,6}:{(61,1),(62,1),(89,1),(95,1)}
        82:{1,2,4,7}:{(62,1),(90,1),(95,1),(97,1)}
        83:{1,2,4,5}:{(63,1),(64,1),(65,1),(94,1),(96,1),(97,1)}
        84:{1,2,3,5}:{(65,1),(66,1),(96,1),(97,1)}
        85:{1,5,7}:{(67,1),(68,1),(70,1)}
        86:{2,5,7}:{(67,1),(69,1),(71,1)}
        87:{1,2,4,6,7}:{(68,1),(69,1),(72,1),(77,1),(98,1),(99,1),(102,1),(110,1)}
        88:{1,2,5,6}:{(70,1),(71,1),(72,1),(98,1),(100,1),(104,1)}
        89:{3,6}:{(72,1),(73,1)}
        90:{3,4,7}:{(73,1),(82,1),(101,1),(105,1),(110,1)}
        91:{1,4,7}:{(74,1),(75,1),(78,1),(110,1)}
        92:{2,4,7}:{(74,1),(76,1),(79,1),(110,1)}
        93:{1,2,5,7}:{(75,1),(76,1),(77,1),(80,1),(102,1)}
        94:{1,2,4,6}:{(78,1),(79,1),(80,1),(83,1),(102,1),(103,1)}
        95:{1,2,4,6}:{(81,1),(82,1),(101,1),(104,1)}
        96:{3,5}:{(83,1),(103,1),(105,1)}
        97:{1,2,4}:{(84,1),(105,1)}
        98:{1,2,5,7}:{(85,1),(86,1),(87,1),(88,1),(106,1)}
        99:{3,6,7}:{(87,1),(89,1),(106,1),(109,1)}
       100:{3,5,6}:{(88,1),(89,1),(106,1),(107,1),(108,1)}
       101:{3,4,6}:{(89,1),(90,1),(95,1),(107,1),(108,1)}
       102:{1,2,4,7}:{(91,1),(92,1),(93,1),(94,1),(109,1)}
       103:{3,6}:{(94,1),(96,1),(109,1)}
       104:{1,2,5}:{(95,1),(108,1)}
       105:{3,4}:{(96,1),(97,1)}
       106:{3,5,7}:{(98,1),(99,1),(100,1),(110,1)}
       107:{4,6}:{(100,1),(110,1),(111,1)}
       108:{3,5}:{(101,1),(104,1),(111,1)}
       109:{3,7}:{(102,1),(103,1)}
       110:{4,7}:{(106,1),(107,1)}
       111:{4,5}:{(107,1),(108,1)}

 720 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(22,1),(42,1),(51,1),(87,1),(102,1)}
         1:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(32,1),(36,1),(77,1)}
         2:{1,3,5}:{(0,1),(7,1),(9,1),(34,1),(110,1),(127,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(27,1),(67,1),(76,1),(113,1),(205,1)}
         4:{1,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(14,1),(22,1),(42,1),(60,1),(107,1)}
         5:{1,4,5,6}:{(12,1),(14,1),(15,1),(60,1),(109,1)}
         6:{2,3,6}:{(1,1),(16,1),(17,1),(42,1)}
         7:{1,2,5}:{(1,1),(2,1),(16,1),(103,1)}
         8:{1,2,4,7}:{(1,1),(3,1),(17,1),(19,1),(52,1),(208,1)}
         9:{1,4,5}:{(2,1),(12,1),(20,1),(148,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(19,1),(21,1),(22,1),(56,1),(133,1),(197,1),(200,1)}
        11:{1,2,5,6}:{(4,1),(7,1),(23,1),(24,1),(25,1),(29,1),(36,1),(110,1),(153,1)}
        12:{1,4,6}:{(4,1),(9,1),(26,1),(27,1),(131,1)}
        13:{1,3,5,7}:{(4,1),(25,1),(27,1),(28,1),(30,1),(67,1),(71,1),(119,1)}
        14:{3,5,6}:{(5,1),(26,1),(29,1),(30,1)}
        15:{1,4,5,7}:{(5,1),(27,1),(30,1),(31,1),(71,1),(121,1)}
        16:{2,3,5}:{(6,1),(7,1),(32,1),(34,1)}
        17:{2,3,7}:{(6,1),(8,1),(67,1),(209,1)}
        18:{1,2,4,5}:{(7,1),(9,1),(24,1),(32,1),(34,1),(37,1),(61,1),(74,1),(78,1),(110,1)}
        19:{1,2,5,7}:{(7,1),(8,1),(10,1),(33,1),(36,1),(204,1),(207,1)}
        20:{3,4,5}:{(9,1),(26,1),(34,1),(37,1)}
        21:{1,4,5,7}:{(9,1),(10,1),(27,1),(38,1),(39,1),(71,1),(188,1),(192,1)}
        22:{1,3,6}:{(10,1),(36,1),(39,1),(81,1),(153,1)}
        23:{2,3,5,6}:{(11,1),(16,1),(40,1),(41,1),(42,1),(53,1),(85,1),(103,1),(107,1),(134,1),(135,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(18,1),(40,1),(42,1),(43,1),(45,1),(87,1),(90,1)}
        25:{1,2,5,7}:{(11,1),(13,1),(41,1),(43,1),(44,1),(48,1),(133,1)}
        26:{3,4,6}:{(12,1),(14,1),(20,1),(42,1),(45,1),(46,1)}
        27:{1,4,7}:{(12,1),(13,1),(46,1),(141,1)}
        28:{1,3,6,7}:{(13,1),(22,1),(44,1),(47,1),(49,1),(93,1),(197,1)}
        29:{2,5,6}:{(14,1),(45,1),(48,1)}
        30:{3,5,7}:{(14,1),(15,1),(46,1),(48,1),(49,1)}
        31:{1,4,6,7}:{(15,1),(49,1),(50,1),(98,1)}
        32:{2,4}:{(16,1),(51,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(19,1),(52,1),(53,1),(56,1),(103,1),(196,1),(198,1),(201,1)}
        34:{3,5}:{(18,1),(42,1),(51,1)}
        35:{1,2,4,5,7}:{(18,1),(19,1),(21,1),(43,1),(52,1),(56,1),(57,1),(58,1),(86,1),(94,1),(100,1),(103,1),(104,1),(133,1),(141,1),(146,1),(148,1),(172,1),(173,1),(178,1),(196,1)}
        36:{1,2,6}:{(19,1),(22,1),(53,1)}
        37:{2,4,5}:{(20,1),(45,1),(55,1)}
        38:{3,4,5,7}:{(20,1),(21,1),(46,1),(56,1),(58,1),(59,1),(96,1),(141,1),(148,1),(175,1),(180,1)}
        39:{1,4,6}:{(21,1),(22,1),(59,1),(60,1)}
        40:{2,4,6}:{(23,1),(32,1),(61,1),(62,1),(63,1),(131,1)}
        41:{2,3,5,7}:{(23,1),(25,1),(63,1),(64,1),(67,1),(111,1),(115,1),(119,1)}
        42:{3,6}:{(24,1),(34,1),(67,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(27,1),(63,1),(67,1),(69,1),(113,1),(116,1)}
        44:{1,2,6,7}:{(25,1),(28,1),(36,1),(64,1),(72,1),(153,1),(204,1)}
        45:{2,4,6}:{(26,1),(29,1),(37,1),(66,1),(69,1)}
        46:{3,4,7}:{(26,1),(27,1),(30,1),(67,1),(69,1)}
        47:{1,4,6,7}:{(27,1),(28,1),(39,1),(70,1),(71,1),(161,1),(188,1)}
        48:{2,5,7}:{(29,1),(30,1),(69,1),(72,1)}
        49:{3,6,7}:{(30,1),(31,1),(72,1)}
        50:{1,5,6,7}:{(31,1),(71,1),(73,1),(161,1)}
        51:{3,4}:{(32,1),(34,1),(74,1)}
        52:{2,4,7}:{(32,1),(33,1),(76,1),(77,1),(206,1)}
        53:{2,3,6}:{(33,1),(36,1),(77,1),(81,1),(203,1)}
        54:{1,3,5}:{(34,1),(65,1),(74,1),(78,1),(110,1),(123,1)}
        55:{2,3,5}:{(34,1),(37,1),(66,1),(75,1),(78,1)}
        56:{3,5,7}:{(34,1),(35,1),(67,1),(76,1),(81,1),(127,1),(186,1),(190,1)}
        57:{1,2,4,6}:{(35,1),(36,1),(39,1),(77,1),(81,1),(82,1),(83,1),(112,1),(125,1),(128,1),(131,1),(153,1),(184,1),(203,1)}
        58:{2,4,5,7}:{(37,1),(38,1),(69,1),(80,1),(83,1),(120,1),(159,1),(165,1)}
        59:{3,4,6}:{(38,1),(39,1),(81,1),(83,1),(84,1),(131,1)}
        60:{1,5,6}:{(39,1),(71,1),(84,1)}
        61:{2,4,5}:{(40,1),(85,1),(103,1),(148,1)}
        62:{3,4,6}:{(40,1),(42,1),(51,1),(85,1),(87,1),(88,1),(134,1)}
        63:{2,4,7}:{(40,1),(41,1),(88,1),(141,1)}
        64:{2,3,6,7}:{(41,1),(44,1),(53,1),(89,1),(93,1),(134,1),(198,1)}
        65:{1,3,6}:{(42,1),(54,1),(87,1),(90,1),(91,1)}
        66:{2,3,6}:{(42,1),(45,1),(55,1),(90,1),(92,1)}
        67:{3,7}:{(42,1),(43,1)}
        68:{1,2,4,6,7}:{(43,1),(44,1),(47,1),(57,1),(89,1),(93,1),(94,1),(95,1),(136,1),(138,1),(141,1),(173,1)}
        69:{2,4,7}:{(45,1),(46,1),(48,1),(92,1)}
        70:{3,4,6,7}:{(46,1),(47,1),(49,1),(59,1),(93,1),(95,1),(96,1),(98,1),(141,1),(143,1),(175,1)}
        71:{1,5,7}:{(47,1),(60,1),(96,1)}
        72:{2,6,7}:{(48,1),(49,1)}
        73:{3,5,6,7}:{(49,1),(50,1),(96,1),(97,1),(98,1),(143,1)}
        74:{1,4}:{(51,1),(54,1)}
        75:{2,3,4}:{(51,1),(55,1),(99,1)}
        76:{3,4,7}:{(51,1),(52,1),(56,1),(100,1),(102,1),(141,1),(199,1)}
        77:{2,4,6}:{(52,1),(53,1),(102,1),(103,1)}
        78:{1,2,5}:{(54,1),(55,1),(90,1),(99,1)}
        79:{1,3,5,7}:{(54,1),(56,1),(91,1),(100,1),(104,1),(105,1),(133,1),(144,1),(146,1),(177,1)}
        80:{2,3,5,7}:{(55,1),(56,1),(58,1),(92,1),(101,1),(104,1),(106,1),(147,1),(196,1)}
        81:{3,6}:{(56,1),(57,1)}
        82:{1,2,5,6}:{(57,1),(60,1),(94,1),(103,1),(107,1),(108,1),(135,1),(146,1),(170,1)}
        83:{2,4,6}:{(58,1),(59,1),(106,1),(108,1)}
        84:{3,5,6}:{(59,1),(60,1),(96,1),(108,1),(109,1)}
        85:{3,5}:{(61,1),(62,1),(110,1)}
        86:{2,4,5,7}:{(61,1),(63,1),(111,1),(112,1),(115,1),(156,1)}
        87:{1,4,6}:{(62,1),(65,1),(74,1),(110,1),(113,1),(153,1)}
        88:{3,4,7}:{(62,1),(63,1),(67,1),(111,1),(113,1)}
        89:{2,4,6,7}:{(63,1),(64,1),(77,1),(112,1),(114,1),(115,1),(187,1),(203,1)}
        90:{1,2,6}:{(65,1),(66,1),(78,1),(116,1)}
        91:{1,3,7}:{(65,1),(67,1),(113,1),(116,1)}
        92:{2,3,7}:{(66,1),(67,1),(69,1),(116,1)}
        93:{3,6,7}:{(67,1),(68,1),(81,1),(119,1),(186,1)}
        94:{1,2,5,7}:{(68,1),(71,1),(82,1),(115,1),(119,1),(120,1),(155,1)}
        95:{2,4,6,7}:{(69,1),(70,1),(72,1),(83,1),(118,1),(120,1),(159,1)}
        96:{3,5,7}:{(70,1),(71,1),(84,1),(120,1),(121,1)}
        97:{2,5,6,7}:{(72,1),(73,1),(120,1),(122,1)}
        98:{4,6,7}:{(73,1),(121,1)}
        99:{1,2,4}:{(74,1),(75,1),(78,1),(123,1)}
       100:{1,4,7}:{(74,1),(76,1),(79,1),(125,1),(189,1)}
       101:{2,3,4,7}:{(75,1),(76,1),(80,1),(124,1),(126,1),(159,1),(186,1),(187,1)}
       102:{3,4,6}:{(76,1),(77,1),(81,1),(125,1),(127,1),(131,1)}
       103:{2,5}:{(77,1),(127,1)}
       104:{1,2,5,7}:{(78,1),(79,1),(80,1),(116,1),(124,1),(128,1),(163,1)}
       105:{1,3,6}:{(79,1),(81,1),(125,1),(128,1),(153,1)}
       106:{2,3,6}:{(80,1),(81,1),(83,1),(128,1),(203,1)}
       107:{3,5,6}:{(81,1),(82,1),(119,1),(127,1),(131,1)}
       108:{2,5,6}:{(83,1),(84,1),(120,1)}
       109:{4,5,6}:{(84,1),(121,1),(131,1)}
       110:{1,5}:{(85,1),(87,1)}
       111:{3,5,7}:{(85,1),(86,1),(88,1),(133,1),(134,1)}
       112:{2,4,6}:{(86,1),(134,1),(135,1),(171,1)}
       113:{1,4,7}:{(87,1),(88,1),(91,1),(133,1)}
       114:{3,4,6,7}:{(88,1),(89,1),(93,1),(102,1),(134,1),(136,1),(137,1),(141,1),(171,1),(174,1),(195,1)}
       115:{2,5,7}:{(89,1),(103,1),(135,1),(137,1)}
       116:{1,2,7}:{(90,1),(91,1),(92,1)}
       117:{1,3,6,7}:{(91,1),(93,1),(105,1),(136,1),(138,1),(139,1),(195,1)}
       118:{2,3,6,7}:{(92,1),(93,1),(95,1),(106,1),(138,1),(140,1),(143,1)}
       119:{3,5,7}:{(93,1),(94,1),(107,1),(141,1)}
       120:{2,5,7}:{(95,1),(96,1),(108,1)}
       121:{4,5,7}:{(96,1),(98,1),(109,1),(141,1)}
       122:{2,4,6,7}:{(97,1),(98,1),(142,1),(143,1)}
       123:{1,3}:{(99,1)}
       124:{1,2,4,7}:{(99,1),(100,1),(101,1),(104,1),(144,1),(145,1)}
       125:{1,4,6}:{(100,1),(102,1),(105,1),(146,1)}
       126:{2,3,4,6}:{(101,1),(102,1),(106,1),(145,1),(147,1),(151,1),(181,1),(182,1),(199,1)}
       127:{3,5}:{(102,1),(103,1),(146,1),(148,1)}
       128:{1,2,6}:{(104,1),(105,1),(106,1)}
       129:{1,3,5,6}:{(105,1),(107,1),(139,1),(146,1),(149,1),(150,1),(170,1),(177,1),(179,1),(181,1),(195,1)}
       130:{2,3,5,6}:{(106,1),(107,1),(108,1),(140,1),(147,1),(149,1),(151,1),(152,1),(181,1)}
       131:{4,6}:{(107,1),(141,1),(148,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(142,1),(151,1),(152,1)}
       133:{1,5,7}:{(110,1),(111,1),(113,1),(153,1)}
       134:{3,6}:{(111,1),(112,1),(153,1)}
       135:{2,5,6}:{(112,1),(115,1),(154,1),(203,1)}
       136:{1,4,6,7}:{(113,1),(114,1),(117,1),(125,1),(153,1),(155,1),(158,1),(184,1)}
       137:{3,5,7}:{(114,1),(115,1),(127,1),(154,1),(155,1),(156,1)}
       138:{1,2,6,7}:{(116,1),(117,1),(118,1),(128,1),(157,1),(161,1),(203,1)}
       139:{1,3,5,7}:{(117,1),(119,1),(129,1),(155,1),(157,1),(158,1),(185,1),(186,1)}
       140:{2,3,5,7}:{(118,1),(119,1),(120,1),(130,1),(157,1),(159,1),(160,1),(186,1)}
       141:{4,7}:{(119,1),(131,1)}
       142:{2,4,5,7}:{(120,1),(121,1),(122,1),(132,1),(159,1),(160,1)}
       143:{3,6,7}:{(122,1),(160,1),(161,1)}
       144:{1,3,7}:{(123,1),(124,1),(162,1),(186,1)}
       145:{1,2,4,6}:{(124,1),(125,1),(126,1),(128,1),(162,1),(163,1),(189,1)}
       146:{1,5}:{(125,1),(127,1)}
       147:{2,3,5}:{(126,1),(127,1),(163,1),(165,1),(190,1),(191,1)}
       148:{4,5}:{(127,1),(131,1)}
       149:{1,2,5,6}:{(128,1),(129,1),(130,1),(157,1),(163,1),(166,1),(169,1),(191,1),(203,1)}
       150:{1,4,6}:{(129,1),(131,1),(158,1),(164,1),(167,1),(189,1)}
       151:{2,4,6}:{(130,1),(131,1),(159,1),(165,1),(168,1)}
       152:{3,5,6}:{(132,1),(160,1),(168,1),(169,1)}
       153:{1,6}:{(133,1),(134,1)}
       154:{3,5,6}:{(134,1),(135,1),(137,1),(170,1),(171,1),(195,1)}
       155:{1,5,7}:{(136,1),(137,1),(146,1),(170,1)}
       156:{4,5,7}:{(137,1),(141,1),(148,1),(171,1)}
       157:{1,2,5,7}:{(138,1),(139,1),(140,1),(149,1),(173,1),(176,1),(196,1)}
       158:{1,4,7}:{(139,1),(141,1),(150,1),(174,1)}
       159:{2,4,7}:{(140,1),(141,1),(151,1),(175,1)}
       160:{3,5,7}:{(142,1),(143,1),(152,1),(175,1),(176,1)}
       161:{1,6,7}:{(143,1),(176,1)}
       162:{1,3,6}:{(144,1),(145,1),(177,1),(181,1)}
       163:{1,2,5}:{(145,1),(146,1),(147,1),(177,1)}
       164:{1,4,5}:{(146,1),(148,1),(150,1),(179,1)}
       165:{2,4,5}:{(147,1),(148,1),(151,1),(180,1)}
       166:{1,2,4,6}:{(149,1),(150,1),(151,1),(173,1),(178,1),(181,1),(182,1),(183,1),(202,1)}
       167:{3,4,6}:{(150,1),(174,1),(179,1),(181,1),(182,1),(195,1),(199,1)}
       168:{3,4,6}:{(151,1),(152,1),(175,1),(180,1),(181,1),(183,1)}
       169:{1,5,6}:{(152,1),(176,1),(183,1)}
       170:{1,5,6}:{(153,1),(154,1),(155,1),(184,1)}
       171:{4,6}:{(154,1),(156,1)}
       172:{1,4,5,7}:{(155,1),(156,1),(158,1),(164,1),(184,1),(185,1)}
       173:{1,2,4,7}:{(157,1),(158,1),(159,1),(166,1),(186,1),(187,1),(188,1),(204,1)}
       174:{3,4,7}:{(158,1),(167,1),(185,1),(186,1),(187,1)}
       175:{3,4,7}:{(159,1),(160,1),(168,1),(186,1),(188,1)}
       176:{1,5,7}:{(160,1),(161,1),(169,1),(188,1)}
       177:{1,3,5}:{(162,1),(163,1),(189,1),(190,1)}
       178:{1,2,4,5}:{(163,1),(164,1),(165,1),(166,1),(189,1),(190,1),(191,1),(192,1),(206,1),(207,1)}
       179:{3,5}:{(164,1),(167,1),(191,1)}
       180:{3,4,5}:{(165,1),(168,1),(190,1),(192,1)}
       181:{3,6}:{(166,1),(186,1),(190,1)}
       182:{2,4,6}:{(167,1),(187,1),(191,1),(194,1),(203,1),(206,1)}
       183:{1,4,6}:{(168,1),(169,1),(188,1),(192,1),(193,1)}
       184:{1,4,6}:{(170,1),(171,1),(172,1),(195,1)}
       185:{3,5,7}:{(172,1),(174,1),(179,1),(195,1),(196,1)}
       186:{3,7}:{(173,1),(181,1)}
       187:{2,4,7}:{(174,1),(182,1),(196,1),(198,1)}
       188:{1,4,7}:{(175,1),(176,1),(183,1),(197,1)}
       189:{1,4}:{(177,1),(199,1)}
       190:{3,5}:{(178,1),(181,1),(199,1)}
       191:{2,5}:{(179,1),(182,1)}
       192:{1,4,5}:{(180,1),(183,1),(200,1)}
       193:{1,3,6}:{(181,1),(183,1),(197,1),(200,1),(202,1)}
       194:{2,3,6}:{(181,1),(182,1),(198,1),(201,1),(202,1)}
       195:{3,6}:{(184,1),(185,1),(203,1)}
       196:{2,5,7}:{(185,1),(187,1),(191,1),(203,1)}
       197:{1,3,7}:{(186,1),(188,1),(193,1),(204,1)}
       198:{2,3,7}:{(186,1),(187,1),(194,1),(204,1)}
       199:{3,4}:{(189,1),(190,1),(206,1)}
       200:{1,3,5}:{(190,1),(192,1),(193,1),(205,1),(207,1)}
       201:{2,3,5}:{(190,1),(191,1),(194,1),(206,1),(207,1),(209,1)}
       202:{1,2,6}:{(193,1),(194,1),(204,1),(207,1)}
       203:{2,6}:{(195,1),(196,1)}
       204:{1,2,7}:{(197,1),(198,1),(202,1)}
       205:{1,3,4}:{(199,1),(200,1),(208,1)}
       206:{2,4}:{(199,1),(201,1)}
       207:{1,2,5}:{(200,1),(201,1),(202,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{2,3}:{(208,1)}

 721 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(22,1),(42,1),(51,1),(87,1),(102,1)}
         1:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(32,1),(36,1),(77,1)}
         2:{2,3,5}:{(0,1),(7,1),(9,1),(34,1),(110,1),(127,1)}
         3:{2,3,4,7}:{(0,1),(8,1),(10,1),(27,1),(67,1),(76,1),(113,1),(206,1)}
         4:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(14,1),(22,1),(42,1),(60,1),(107,1)}
         5:{2,4,5,6}:{(12,1),(14,1),(15,1),(60,1),(109,1)}
         6:{1,3,6}:{(1,1),(16,1),(17,1),(42,1)}
         7:{1,2,5}:{(1,1),(2,1),(16,1),(103,1)}
         8:{1,2,4,7}:{(1,1),(3,1),(17,1),(19,1),(52,1),(208,1)}
         9:{2,4,5}:{(2,1),(12,1),(20,1),(148,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(19,1),(21,1),(22,1),(56,1),(133,1),(198,1),(201,1)}
        11:{1,2,5,6}:{(4,1),(7,1),(23,1),(24,1),(25,1),(29,1),(36,1),(110,1),(153,1)}
        12:{2,4,6}:{(4,1),(9,1),(26,1),(27,1),(131,1)}
        13:{2,3,5,7}:{(4,1),(25,1),(27,1),(28,1),(30,1),(67,1),(71,1),(119,1)}
        14:{3,5,6}:{(5,1),(26,1),(29,1),(30,1)}
        15:{2,4,5,7}:{(5,1),(27,1),(30,1),(31,1),(71,1),(121,1)}
        16:{1,3,5}:{(6,1),(7,1),(32,1),(34,1)}
        17:{1,3,7}:{(6,1),(8,1),(67,1),(209,1)}
        18:{1,2,4,5}:{(7,1),(9,1),(24,1),(32,1),(34,1),(37,1),(61,1),(75,1),(78,1),(110,1)}
        19:{1,2,5,7}:{(7,1),(8,1),(10,1),(33,1),(36,1),(204,1),(207,1)}
        20:{3,4,5}:{(9,1),(26,1),(34,1),(37,1)}
        21:{2,4,5,7}:{(9,1),(10,1),(27,1),(38,1),(39,1),(71,1),(187,1),(191,1)}
        22:{2,3,6}:{(10,1),(36,1),(39,1),(81,1),(153,1)}
        23:{1,3,5,6}:{(11,1),(16,1),(40,1),(41,1),(42,1),(53,1),(85,1),(103,1),(107,1),(134,1),(135,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(18,1),(40,1),(42,1),(43,1),(45,1),(87,1),(90,1)}
        25:{1,2,5,7}:{(11,1),(13,1),(41,1),(43,1),(44,1),(48,1),(133,1)}
        26:{3,4,6}:{(12,1),(14,1),(20,1),(42,1),(45,1),(46,1)}
        27:{2,4,7}:{(12,1),(13,1),(46,1),(141,1)}
        28:{2,3,6,7}:{(13,1),(22,1),(44,1),(47,1),(49,1),(93,1),(198,1)}
        29:{1,5,6}:{(14,1),(45,1),(48,1)}
        30:{3,5,7}:{(14,1),(15,1),(46,1),(48,1),(49,1)}
        31:{2,4,6,7}:{(15,1),(49,1),(50,1),(98,1)}
        32:{1,4}:{(16,1),(51,1)}
        33:{1,3,5,7}:{(16,1),(17,1),(19,1),(52,1),(53,1),(56,1),(103,1),(196,1),(197,1),(200,1)}
        34:{3,5}:{(18,1),(42,1),(51,1)}
        35:{1,2,4,5,7}:{(18,1),(19,1),(21,1),(43,1),(52,1),(56,1),(57,1),(58,1),(86,1),(94,1),(101,1),(103,1),(104,1),(133,1),(141,1),(147,1),(148,1),(172,1),(173,1),(178,1),(196,1)}
        36:{1,2,6}:{(19,1),(22,1),(53,1)}
        37:{1,4,5}:{(20,1),(45,1),(54,1)}
        38:{3,4,5,7}:{(20,1),(21,1),(46,1),(56,1),(58,1),(59,1),(96,1),(141,1),(148,1),(174,1),(179,1)}
        39:{2,4,6}:{(21,1),(22,1),(59,1),(60,1)}
        40:{1,4,6}:{(23,1),(32,1),(61,1),(62,1),(63,1),(131,1)}
        41:{1,3,5,7}:{(23,1),(25,1),(63,1),(64,1),(67,1),(111,1),(115,1),(119,1)}
        42:{3,6}:{(24,1),(34,1),(67,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(27,1),(63,1),(67,1),(69,1),(113,1),(116,1)}
        44:{1,2,6,7}:{(25,1),(28,1),(36,1),(64,1),(72,1),(153,1),(204,1)}
        45:{1,4,6}:{(26,1),(29,1),(37,1),(65,1),(69,1)}
        46:{3,4,7}:{(26,1),(27,1),(30,1),(67,1),(69,1)}
        47:{2,4,6,7}:{(27,1),(28,1),(39,1),(70,1),(71,1),(161,1),(187,1)}
        48:{1,5,7}:{(29,1),(30,1),(69,1),(72,1)}
        49:{3,6,7}:{(30,1),(31,1),(72,1)}
        50:{2,5,6,7}:{(31,1),(71,1),(73,1),(161,1)}
        51:{3,4}:{(32,1),(34,1),(75,1)}
        52:{1,4,7}:{(32,1),(33,1),(76,1),(77,1),(205,1)}
        53:{1,3,6}:{(33,1),(36,1),(77,1),(81,1),(203,1)}
        54:{1,3,5}:{(34,1),(37,1),(65,1),(74,1),(78,1)}
        55:{2,3,5}:{(34,1),(66,1),(75,1),(78,1),(110,1),(123,1)}
        56:{3,5,7}:{(34,1),(35,1),(67,1),(76,1),(81,1),(127,1),(186,1),(190,1)}
        57:{1,2,4,6}:{(35,1),(36,1),(39,1),(77,1),(81,1),(82,1),(83,1),(112,1),(126,1),(128,1),(131,1),(153,1),(184,1),(203,1)}
        58:{1,4,5,7}:{(37,1),(38,1),(69,1),(79,1),(83,1),(120,1),(158,1),(164,1)}
        59:{3,4,6}:{(38,1),(39,1),(81,1),(83,1),(84,1),(131,1)}
        60:{2,5,6}:{(39,1),(71,1),(84,1)}
        61:{1,4,5}:{(40,1),(85,1),(103,1),(148,1)}
        62:{3,4,6}:{(40,1),(42,1),(51,1),(85,1),(87,1),(88,1),(134,1)}
        63:{1,4,7}:{(40,1),(41,1),(88,1),(141,1)}
        64:{1,3,6,7}:{(41,1),(44,1),(53,1),(89,1),(93,1),(134,1),(197,1)}
        65:{1,3,6}:{(42,1),(45,1),(54,1),(90,1),(91,1)}
        66:{2,3,6}:{(42,1),(55,1),(87,1),(90,1),(92,1)}
        67:{3,7}:{(42,1),(43,1)}
        68:{1,2,4,6,7}:{(43,1),(44,1),(47,1),(57,1),(89,1),(93,1),(94,1),(95,1),(136,1),(138,1),(141,1),(173,1)}
        69:{1,4,7}:{(45,1),(46,1),(48,1),(91,1)}
        70:{3,4,6,7}:{(46,1),(47,1),(49,1),(59,1),(93,1),(95,1),(96,1),(98,1),(141,1),(143,1),(174,1)}
        71:{2,5,7}:{(47,1),(60,1),(96,1)}
        72:{1,6,7}:{(48,1),(49,1)}
        73:{3,5,6,7}:{(49,1),(50,1),(96,1),(97,1),(98,1),(143,1)}
        74:{1,3,4}:{(51,1),(54,1),(99,1)}
        75:{2,4}:{(51,1),(55,1)}
        76:{3,4,7}:{(51,1),(52,1),(56,1),(101,1),(102,1),(141,1),(199,1)}
        77:{1,4,6}:{(52,1),(53,1),(102,1),(103,1)}
        78:{1,2,5}:{(54,1),(55,1),(90,1),(99,1)}
        79:{1,3,5,7}:{(54,1),(56,1),(58,1),(91,1),(100,1),(104,1),(105,1),(146,1),(196,1)}
        80:{2,3,5,7}:{(55,1),(56,1),(92,1),(101,1),(104,1),(106,1),(133,1),(144,1),(147,1),(177,1)}
        81:{3,6}:{(56,1),(57,1)}
        82:{1,2,5,6}:{(57,1),(60,1),(94,1),(103,1),(107,1),(108,1),(135,1),(147,1),(170,1)}
        83:{1,4,6}:{(58,1),(59,1),(105,1),(108,1)}
        84:{3,5,6}:{(59,1),(60,1),(96,1),(108,1),(109,1)}
        85:{3,5}:{(61,1),(62,1),(110,1)}
        86:{1,4,5,7}:{(61,1),(63,1),(111,1),(112,1),(115,1),(156,1)}
        87:{2,4,6}:{(62,1),(66,1),(75,1),(110,1),(113,1),(153,1)}
        88:{3,4,7}:{(62,1),(63,1),(67,1),(111,1),(113,1)}
        89:{1,4,6,7}:{(63,1),(64,1),(77,1),(112,1),(114,1),(115,1),(188,1),(203,1)}
        90:{1,2,6}:{(65,1),(66,1),(78,1),(116,1)}
        91:{1,3,7}:{(65,1),(67,1),(69,1),(116,1)}
        92:{2,3,7}:{(66,1),(67,1),(113,1),(116,1)}
        93:{3,6,7}:{(67,1),(68,1),(81,1),(119,1),(186,1)}
        94:{1,2,5,7}:{(68,1),(71,1),(82,1),(115,1),(119,1),(120,1),(155,1)}
        95:{1,4,6,7}:{(69,1),(70,1),(72,1),(83,1),(117,1),(120,1),(158,1)}
        96:{3,5,7}:{(70,1),(71,1),(84,1),(120,1),(121,1)}
        97:{1,5,6,7}:{(72,1),(73,1),(120,1),(122,1)}
        98:{4,6,7}:{(73,1),(121,1)}
        99:{1,2,4}:{(74,1),(75,1),(78,1),(123,1)}
       100:{1,3,4,7}:{(74,1),(76,1),(79,1),(124,1),(125,1),(158,1),(186,1),(188,1)}
       101:{2,4,7}:{(75,1),(76,1),(80,1),(126,1),(189,1)}
       102:{3,4,6}:{(76,1),(77,1),(81,1),(126,1),(127,1),(131,1)}
       103:{1,5}:{(77,1),(127,1)}
       104:{1,2,5,7}:{(78,1),(79,1),(80,1),(116,1),(124,1),(128,1),(163,1)}
       105:{1,3,6}:{(79,1),(81,1),(83,1),(128,1),(203,1)}
       106:{2,3,6}:{(80,1),(81,1),(126,1),(128,1),(153,1)}
       107:{3,5,6}:{(81,1),(82,1),(119,1),(127,1),(131,1)}
       108:{1,5,6}:{(83,1),(84,1),(120,1)}
       109:{4,5,6}:{(84,1),(121,1),(131,1)}
       110:{2,5}:{(85,1),(87,1)}
       111:{3,5,7}:{(85,1),(86,1),(88,1),(133,1),(134,1)}
       112:{1,4,6}:{(86,1),(134,1),(135,1),(171,1)}
       113:{2,4,7}:{(87,1),(88,1),(92,1),(133,1)}
       114:{3,4,6,7}:{(88,1),(89,1),(93,1),(102,1),(134,1),(136,1),(137,1),(141,1),(171,1),(175,1),(195,1)}
       115:{1,5,7}:{(89,1),(103,1),(135,1),(137,1)}
       116:{1,2,7}:{(90,1),(91,1),(92,1)}
       117:{1,3,6,7}:{(91,1),(93,1),(95,1),(105,1),(138,1),(139,1),(143,1)}
       118:{2,3,6,7}:{(92,1),(93,1),(106,1),(136,1),(138,1),(140,1),(195,1)}
       119:{3,5,7}:{(93,1),(94,1),(107,1),(141,1)}
       120:{1,5,7}:{(95,1),(96,1),(108,1)}
       121:{4,5,7}:{(96,1),(98,1),(109,1),(141,1)}
       122:{1,4,6,7}:{(97,1),(98,1),(142,1),(143,1)}
       123:{2,3}:{(99,1)}
       124:{1,2,4,7}:{(99,1),(100,1),(101,1),(104,1),(144,1),(145,1)}
       125:{1,3,4,6}:{(100,1),(102,1),(105,1),(145,1),(146,1),(150,1),(181,1),(183,1),(199,1)}
       126:{2,4,6}:{(101,1),(102,1),(106,1),(147,1)}
       127:{3,5}:{(102,1),(103,1),(147,1),(148,1)}
       128:{1,2,6}:{(104,1),(105,1),(106,1)}
       129:{1,3,5,6}:{(105,1),(107,1),(108,1),(139,1),(146,1),(149,1),(150,1),(152,1),(181,1)}
       130:{2,3,5,6}:{(106,1),(107,1),(140,1),(147,1),(149,1),(151,1),(170,1),(177,1),(180,1),(181,1),(195,1)}
       131:{4,6}:{(107,1),(141,1),(148,1)}
       132:{1,4,5,6}:{(108,1),(109,1),(142,1),(150,1),(152,1)}
       133:{2,5,7}:{(110,1),(111,1),(113,1),(153,1)}
       134:{3,6}:{(111,1),(112,1),(153,1)}
       135:{1,5,6}:{(112,1),(115,1),(154,1),(203,1)}
       136:{2,4,6,7}:{(113,1),(114,1),(118,1),(126,1),(153,1),(155,1),(159,1),(184,1)}
       137:{3,5,7}:{(114,1),(115,1),(127,1),(154,1),(155,1),(156,1)}
       138:{1,2,6,7}:{(116,1),(117,1),(118,1),(128,1),(157,1),(161,1),(203,1)}
       139:{1,3,5,7}:{(117,1),(119,1),(120,1),(129,1),(157,1),(158,1),(160,1),(186,1)}
       140:{2,3,5,7}:{(118,1),(119,1),(130,1),(155,1),(157,1),(159,1),(185,1),(186,1)}
       141:{4,7}:{(119,1),(131,1)}
       142:{1,4,5,7}:{(120,1),(121,1),(122,1),(132,1),(158,1),(160,1)}
       143:{3,6,7}:{(122,1),(160,1),(161,1)}
       144:{2,3,7}:{(123,1),(124,1),(162,1),(186,1)}
       145:{1,2,4,6}:{(124,1),(125,1),(126,1),(128,1),(162,1),(163,1),(189,1)}
       146:{1,3,5}:{(125,1),(127,1),(163,1),(164,1),(190,1),(192,1)}
       147:{2,5}:{(126,1),(127,1)}
       148:{4,5}:{(127,1),(131,1)}
       149:{1,2,5,6}:{(128,1),(129,1),(130,1),(157,1),(163,1),(166,1),(169,1),(192,1),(203,1)}
       150:{1,4,6}:{(129,1),(131,1),(158,1),(164,1),(167,1)}
       151:{2,4,6}:{(130,1),(131,1),(159,1),(165,1),(168,1),(189,1)}
       152:{3,5,6}:{(132,1),(160,1),(167,1),(169,1)}
       153:{2,6}:{(133,1),(134,1)}
       154:{3,5,6}:{(134,1),(135,1),(137,1),(170,1),(171,1),(195,1)}
       155:{2,5,7}:{(136,1),(137,1),(147,1),(170,1)}
       156:{4,5,7}:{(137,1),(141,1),(148,1),(171,1)}
       157:{1,2,5,7}:{(138,1),(139,1),(140,1),(149,1),(173,1),(176,1),(196,1)}
       158:{1,4,7}:{(139,1),(141,1),(150,1),(174,1)}
       159:{2,4,7}:{(140,1),(141,1),(151,1),(175,1)}
       160:{3,5,7}:{(142,1),(143,1),(152,1),(174,1),(176,1)}
       161:{2,6,7}:{(143,1),(176,1)}
       162:{2,3,6}:{(144,1),(145,1),(177,1),(181,1)}
       163:{1,2,5}:{(145,1),(146,1),(147,1),(177,1)}
       164:{1,4,5}:{(146,1),(148,1),(150,1),(179,1)}
       165:{2,4,5}:{(147,1),(148,1),(151,1),(180,1)}
       166:{1,2,4,6}:{(149,1),(150,1),(151,1),(173,1),(178,1),(181,1),(182,1),(183,1),(202,1)}
       167:{3,4,6}:{(150,1),(152,1),(174,1),(179,1),(181,1),(182,1)}
       168:{3,4,6}:{(151,1),(175,1),(180,1),(181,1),(183,1),(195,1),(199,1)}
       169:{2,5,6}:{(152,1),(176,1),(182,1)}
       170:{2,5,6}:{(153,1),(154,1),(155,1),(184,1)}
       171:{4,6}:{(154,1),(156,1)}
       172:{2,4,5,7}:{(155,1),(156,1),(159,1),(165,1),(184,1),(185,1)}
       173:{1,2,4,7}:{(157,1),(158,1),(159,1),(166,1),(186,1),(187,1),(188,1),(204,1)}
       174:{3,4,7}:{(158,1),(160,1),(167,1),(186,1),(187,1)}
       175:{3,4,7}:{(159,1),(168,1),(185,1),(186,1),(188,1)}
       176:{2,5,7}:{(160,1),(161,1),(169,1),(187,1)}
       177:{2,3,5}:{(162,1),(163,1),(189,1),(190,1)}
       178:{1,2,4,5}:{(163,1),(164,1),(165,1),(166,1),(189,1),(190,1),(191,1),(192,1),(205,1),(207,1)}
       179:{3,4,5}:{(164,1),(167,1),(190,1),(191,1)}
       180:{3,5}:{(165,1),(168,1),(192,1)}
       181:{3,6}:{(166,1),(186,1),(190,1)}
       182:{2,4,6}:{(167,1),(169,1),(187,1),(191,1),(194,1)}
       183:{1,4,6}:{(168,1),(188,1),(192,1),(193,1),(203,1),(205,1)}
       184:{2,4,6}:{(170,1),(171,1),(172,1),(195,1)}
       185:{3,5,7}:{(172,1),(175,1),(180,1),(195,1),(196,1)}
       186:{3,7}:{(173,1),(181,1)}
       187:{2,4,7}:{(174,1),(176,1),(182,1),(198,1)}
       188:{1,4,7}:{(175,1),(183,1),(196,1),(197,1)}
       189:{2,4}:{(177,1),(199,1)}
       190:{3,5}:{(178,1),(181,1),(199,1)}
       191:{2,4,5}:{(179,1),(182,1),(201,1)}
       192:{1,5}:{(180,1),(183,1)}
       193:{1,3,6}:{(181,1),(183,1),(197,1),(200,1),(202,1)}
       194:{2,3,6}:{(181,1),(182,1),(198,1),(201,1),(202,1)}
       195:{3,6}:{(184,1),(185,1),(203,1)}
       196:{1,5,7}:{(185,1),(188,1),(192,1),(203,1)}
       197:{1,3,7}:{(186,1),(188,1),(193,1),(204,1)}
       198:{2,3,7}:{(186,1),(187,1),(194,1),(204,1)}
       199:{3,4}:{(189,1),(190,1),(205,1)}
       200:{1,3,5}:{(190,1),(192,1),(193,1),(205,1),(207,1),(209,1)}
       201:{2,3,5}:{(190,1),(191,1),(194,1),(206,1),(207,1)}
       202:{1,2,6}:{(193,1),(194,1),(204,1),(207,1)}
       203:{1,6}:{(195,1),(196,1)}
       204:{1,2,7}:{(197,1),(198,1),(202,1)}
       205:{1,4}:{(199,1),(200,1)}
       206:{2,3,4}:{(199,1),(201,1),(208,1)}
       207:{1,2,5}:{(200,1),(201,1),(202,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{1,3}:{(208,1)}

 722 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(9,1),(12,1),(30,1),(32,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(50,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(21,1),(48,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(72,1),(79,1)}
         4:{1,2,4,5,7}:{(1,1),(9,1),(11,1),(12,1),(27,1),(28,1),(30,1),(39,1),(40,1),(71,1),(79,1),(112,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1)}
         6:{1,2,3,7}:{(15,1),(16,1),(129,1),(133,1),(146,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(17,1),(18,1),(41,1),(94,1),(95,1),(129,1)}
         8:{1,3,4,7}:{(3,1),(15,1),(19,1),(20,1),(41,1),(93,1),(98,1),(129,1)}
         9:{3,5,7}:{(3,1),(4,1),(21,1),(22,1),(92,1),(129,1)}
        10:{3,4,6}:{(3,1),(5,1),(21,1),(22,1),(58,1)}
        11:{1,2,4,6}:{(4,1),(21,1),(24,1),(44,1),(45,1),(48,1),(58,1)}
        12:{1,2,5}:{(5,1),(22,1)}
        13:{1,2,3,5,7}:{(6,1),(25,1),(26,1),(30,1),(32,1),(59,1),(62,1)}
        14:{3,4,5,7}:{(9,1),(27,1),(28,1),(29,1),(39,1),(59,1),(67,1),(75,1),(78,1),(79,1),(103,1),(117,1),(119,1),(136,1)}
        15:{1,2,4,7}:{(6,1),(7,1),(8,1),(30,1),(31,1),(116,1)}
        16:{1,2,3,6}:{(6,1),(31,1),(32,1),(113,1),(143,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(27,1),(30,1),(33,1),(34,1),(59,1),(115,1),(142,1)}
        18:{2,3,4,6}:{(7,1),(10,1),(31,1),(33,1),(34,1),(60,1),(72,1),(74,1),(113,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(28,1),(30,1),(35,1),(36,1),(59,1),(114,1),(141,1)}
        20:{1,3,4,6}:{(8,1),(10,1),(31,1),(35,1),(36,1),(60,1),(72,1),(77,1),(113,1)}
        21:{3,6}:{(9,1),(11,1)}
        22:{3,5}:{(10,1),(12,1),(39,1)}
        23:{1,2,4,6,7}:{(11,1),(37,1),(40,1),(63,1),(65,1),(69,1),(79,1),(112,1)}
        24:{1,2,5,6}:{(11,1),(12,1),(38,1),(40,1),(64,1),(66,1)}
        25:{1,2,4,7}:{(13,1),(41,1),(43,1),(50,1)}
        26:{1,2,3,6}:{(13,1),(43,1),(48,1),(80,1)}
        27:{2,4,5,7}:{(14,1),(17,1),(44,1),(53,1),(84,1),(95,1),(100,1),(135,1)}
        28:{1,4,5,7}:{(14,1),(19,1),(45,1),(56,1),(86,1),(97,1),(98,1),(134,1)}
        29:{3,4,6}:{(14,1),(21,1),(44,1),(45,1),(47,1),(58,1),(80,1),(122,1)}
        30:{1,2,5,7}:{(15,1),(17,1),(19,1),(48,1),(49,1),(132,1),(146,1)}
        31:{1,2,4,6}:{(15,1),(16,1),(18,1),(20,1),(48,1),(49,1),(50,1)}
        32:{1,2,3,5}:{(16,1),(49,1),(50,1),(92,1),(132,1),(133,1)}
        33:{2,3,6}:{(17,1),(21,1),(44,1),(48,1),(80,1)}
        34:{2,3,5}:{(18,1),(22,1),(49,1),(53,1),(81,1),(92,1)}
        35:{1,3,6}:{(19,1),(21,1),(45,1),(48,1),(80,1)}
        36:{1,3,5}:{(20,1),(22,1),(49,1),(56,1),(81,1),(92,1)}
        37:{3,6,7}:{(21,1),(23,1),(57,1),(129,1)}
        38:{3,5,6}:{(21,1),(22,1),(24,1),(57,1),(58,1)}
        39:{4,5}:{(22,1),(58,1)}
        40:{1,2,5,7}:{(23,1),(24,1),(57,1),(84,1),(86,1)}
        41:{3,4,7}:{(25,1),(59,1),(60,1),(72,1),(136,1)}
        42:{1,2,4,5,7}:{(25,1),(27,1),(28,1),(30,1),(59,1),(61,1),(62,1),(71,1),(103,1),(104,1),(112,1),(136,1)}
        43:{1,2,4,6}:{(25,1),(26,1),(60,1),(62,1)}
        44:{2,4,6}:{(27,1),(29,1),(33,1),(64,1)}
        45:{1,4,6}:{(28,1),(29,1),(35,1),(66,1)}
        46:{3,4,6,7}:{(29,1),(37,1),(63,1),(65,1),(67,1),(79,1),(101,1),(111,1),(117,1),(119,1),(136,1),(137,1),(139,1)}
        47:{3,5,6}:{(29,1),(64,1),(66,1),(67,1),(68,1)}
        48:{1,2,6}:{(30,1),(33,1),(35,1)}
        49:{1,2,5}:{(31,1),(34,1),(36,1)}
        50:{1,2,4}:{(32,1),(72,1)}
        51:{2,3,6,7}:{(33,1),(37,1),(63,1),(69,1),(73,1),(101,1),(137,1),(142,1)}
        52:{2,3,5,6}:{(33,1),(34,1),(38,1),(64,1),(70,1),(73,1),(74,1),(102,1),(107,1),(113,1)}
        53:{2,4,5}:{(34,1),(39,1),(74,1),(75,1),(103,1)}
        54:{1,3,6,7}:{(35,1),(37,1),(65,1),(69,1),(76,1),(101,1),(139,1),(141,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(38,1),(66,1),(70,1),(76,1),(77,1),(102,1),(110,1),(113,1)}
        56:{1,4,5}:{(36,1),(39,1),(77,1),(78,1),(103,1)}
        57:{3,5,7}:{(37,1),(38,1),(40,1),(79,1)}
        58:{4,6}:{(38,1),(39,1),(79,1)}
        59:{3,5,7}:{(41,1),(42,1),(80,1),(81,1),(92,1),(129,1)}
        60:{3,4,6}:{(41,1),(43,1),(80,1),(81,1),(122,1)}
        61:{1,2,4,6}:{(42,1),(44,1),(45,1),(48,1),(80,1),(83,1),(122,1)}
        62:{1,2,5}:{(43,1),(81,1)}
        63:{2,4,6,7}:{(44,1),(46,1),(51,1),(84,1),(95,1),(135,1),(145,1)}
        64:{2,5,6}:{(44,1),(47,1),(84,1)}
        65:{1,4,6,7}:{(45,1),(46,1),(54,1),(86,1),(98,1),(134,1),(144,1)}
        66:{1,5,6}:{(45,1),(47,1),(86,1)}
        67:{3,5,7}:{(46,1),(47,1),(84,1),(86,1),(89,1)}
        68:{4,5,6}:{(47,1),(58,1),(89,1),(122,1)}
        69:{1,2,6,7}:{(48,1),(51,1),(54,1),(90,1),(144,1),(145,1),(146,1)}
        70:{1,2,5,6}:{(48,1),(49,1),(52,1),(55,1),(90,1),(91,1),(125,1),(128,1)}
        71:{1,2,4,5}:{(49,1),(50,1),(53,1),(56,1),(91,1),(92,1),(97,1),(100,1),(132,1)}
        72:{3,4}:{(50,1),(92,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(57,1),(84,1),(90,1),(95,1),(121,1),(124,1),(129,1)}
        74:{2,4,6}:{(52,1),(53,1),(58,1),(95,1),(96,1),(122,1)}
        75:{3,4,5}:{(53,1),(92,1),(96,1),(97,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(57,1),(86,1),(90,1),(98,1),(121,1),(127,1),(129,1)}
        77:{1,4,6}:{(55,1),(56,1),(58,1),(98,1),(99,1),(122,1)}
        78:{3,4,5}:{(56,1),(92,1),(99,1),(100,1)}
        79:{4,7}:{(57,1),(58,1)}
        80:{3,6}:{(59,1),(61,1)}
        81:{3,5}:{(60,1),(62,1),(103,1)}
        82:{1,2,4,6,7}:{(61,1),(63,1),(65,1),(69,1),(101,1),(104,1),(112,1),(136,1)}
        83:{1,2,5,6}:{(61,1),(62,1),(64,1),(66,1),(102,1),(104,1)}
        84:{2,5,7}:{(63,1),(64,1),(67,1)}
        85:{2,4,5,6}:{(64,1),(68,1),(74,1),(106,1),(107,1)}
        86:{1,5,7}:{(65,1),(66,1),(67,1)}
        87:{1,4,5,6}:{(66,1),(68,1),(77,1),(109,1),(110,1)}
        88:{3,5,6,7}:{(67,1),(105,1),(108,1),(111,1),(137,1),(139,1)}
        89:{4,5,7}:{(67,1),(68,1),(79,1),(111,1),(136,1)}
        90:{1,2,5,7}:{(69,1),(70,1),(73,1),(76,1),(112,1),(138,1),(140,1)}
        91:{1,2,4,6}:{(70,1),(71,1),(74,1),(77,1),(112,1),(113,1),(118,1),(120,1),(143,1)}
        92:{3,5}:{(71,1),(72,1),(113,1)}
        93:{1,3,4}:{(72,1),(114,1),(116,1)}
        94:{2,3,4}:{(72,1),(115,1),(116,1)}
        95:{2,4,7}:{(73,1),(74,1),(79,1),(117,1),(136,1)}
        96:{3,4,6}:{(74,1),(75,1),(107,1),(113,1),(117,1),(118,1)}
        97:{1,4,5}:{(75,1),(114,1),(118,1)}
        98:{1,4,7}:{(76,1),(77,1),(79,1),(119,1),(136,1)}
        99:{3,4,6}:{(77,1),(78,1),(110,1),(113,1),(119,1),(120,1)}
       100:{2,4,5}:{(78,1),(115,1),(120,1)}
       101:{3,6,7}:{(80,1),(82,1),(121,1),(129,1)}
       102:{3,5,6}:{(80,1),(81,1),(83,1),(121,1),(122,1)}
       103:{4,5}:{(81,1),(122,1)}
       104:{1,2,5,7}:{(82,1),(83,1),(84,1),(86,1),(121,1)}
       105:{2,5,6,7}:{(84,1),(88,1),(123,1),(145,1)}
       106:{2,4,5,7}:{(84,1),(85,1),(89,1),(95,1),(123,1),(124,1)}
       107:{3,5,6}:{(85,1),(96,1),(124,1),(125,1)}
       108:{1,5,6,7}:{(86,1),(88,1),(126,1),(144,1)}
       109:{1,4,5,7}:{(86,1),(87,1),(89,1),(98,1),(126,1),(127,1)}
       110:{3,5,6}:{(87,1),(99,1),(127,1),(128,1)}
       111:{4,6,7}:{(88,1),(89,1)}
       112:{1,2,4,7}:{(90,1),(91,1),(95,1),(98,1),(129,1),(134,1),(135,1),(146,1)}
       113:{3,6}:{(91,1),(92,1),(129,1)}
       114:{1,3,5}:{(92,1),(93,1),(97,1),(130,1),(132,1)}
       115:{2,3,5}:{(92,1),(94,1),(100,1),(131,1),(132,1)}
       116:{1,2,4}:{(93,1),(94,1),(132,1),(133,1)}
       117:{3,4,7}:{(95,1),(96,1),(124,1),(129,1),(134,1)}
       118:{1,4,6}:{(96,1),(97,1),(125,1),(130,1),(134,1)}
       119:{3,4,7}:{(98,1),(99,1),(127,1),(129,1),(135,1)}
       120:{2,4,6}:{(99,1),(100,1),(128,1),(131,1),(135,1)}
       121:{3,5,7}:{(101,1),(102,1),(104,1),(136,1)}
       122:{4,6}:{(102,1),(103,1),(136,1)}
       123:{2,4,6,7}:{(105,1),(106,1),(111,1),(137,1)}
       124:{3,5,7}:{(106,1),(107,1),(117,1),(137,1),(138,1)}
       125:{1,5,6}:{(107,1),(118,1),(138,1)}
       126:{1,4,6,7}:{(108,1),(109,1),(111,1),(139,1)}
       127:{3,5,7}:{(109,1),(110,1),(119,1),(139,1),(140,1)}
       128:{2,5,6}:{(110,1),(120,1),(140,1)}
       129:{3,7}:{(112,1),(113,1)}
       130:{1,3,6}:{(113,1),(114,1),(118,1),(141,1),(143,1)}
       131:{2,3,6}:{(113,1),(115,1),(120,1),(142,1),(143,1)}
       132:{1,2,5}:{(114,1),(115,1),(116,1),(143,1)}
       133:{1,2,3}:{(116,1)}
       134:{1,4,7}:{(117,1),(118,1),(138,1),(141,1)}
       135:{2,4,7}:{(119,1),(120,1),(140,1),(142,1)}
       136:{4,7}:{(121,1),(122,1)}
       137:{3,6,7}:{(123,1),(124,1),(144,1)}
       138:{1,5,7}:{(124,1),(125,1),(134,1),(144,1)}
       139:{3,6,7}:{(126,1),(127,1),(145,1)}
       140:{2,5,7}:{(127,1),(128,1),(135,1),(145,1)}
       141:{1,3,7}:{(129,1),(130,1),(134,1),(146,1)}
       142:{2,3,7}:{(129,1),(131,1),(135,1),(146,1)}
       143:{1,2,6}:{(130,1),(131,1),(132,1),(146,1)}
       144:{1,6,7}:{(137,1),(138,1)}
       145:{2,6,7}:{(139,1),(140,1)}
       146:{1,2,7}:{(141,1),(142,1),(143,1)}

 723 :   0:{1,2,3,5}:{(1,1),(2,1),(7,1),(11,1),(12,1),(31,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(22,1),(48,1)}
         2:{1,2,4}:{(0,1),(3,1)}
         3:{3,4}:{(2,1),(11,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(39,1)}
         5:{1,2,3,7}:{(1,1),(13,1),(37,1),(67,1)}
         6:{1,2,4,5}:{(2,1),(11,1),(12,1),(14,1),(28,1),(29,1),(31,1),(34,1)}
         7:{1,2,3}:{(17,1)}
         8:{2,3,4}:{(3,1),(17,1),(18,1),(40,1)}
         9:{1,3,4}:{(3,1),(17,1),(19,1),(40,1)}
        10:{3,4,6}:{(3,1),(4,1),(20,1),(21,1),(22,1),(51,1),(54,1)}
        11:{3,5}:{(3,1),(6,1),(22,1)}
        12:{1,2,5}:{(4,1),(20,1)}
        13:{1,2,4,7}:{(4,1),(5,1),(21,1),(24,1)}
        14:{1,2,4,6}:{(6,1),(22,1),(23,1),(25,1),(44,1),(45,1),(48,1),(51,1)}
        15:{1,2,3,5}:{(7,1),(26,1),(27,1),(31,1),(57,1),(58,1)}
        16:{3,4,5}:{(11,1),(28,1),(29,1),(30,1),(34,1),(57,1),(83,1)}
        17:{1,2,4}:{(7,1),(8,1),(9,1),(31,1)}
        18:{2,3,5}:{(8,1),(11,1),(28,1),(31,1),(32,1),(57,1)}
        19:{1,3,5}:{(9,1),(11,1),(29,1),(31,1),(33,1),(57,1)}
        20:{3,5}:{(10,1),(12,1),(34,1)}
        21:{3,4,7}:{(10,1),(13,1),(36,1),(37,1),(68,1)}
        22:{3,6}:{(11,1),(14,1),(37,1)}
        23:{1,2,5,6}:{(12,1),(14,1),(35,1),(38,1),(39,1),(61,1),(63,1)}
        24:{1,2,5,7}:{(12,1),(13,1),(36,1),(39,1)}
        25:{1,2,4,7}:{(14,1),(37,1),(38,1),(62,1),(64,1),(67,1),(68,1)}
        26:{1,2,3,6}:{(15,1),(41,1),(42,1),(48,1),(73,1)}
        27:{1,2,4}:{(15,1),(40,1)}
        28:{2,4,5}:{(16,1),(18,1),(44,1)}
        29:{1,4,5}:{(16,1),(19,1),(45,1)}
        30:{3,4,6}:{(16,1),(22,1),(44,1),(45,1),(46,1),(47,1),(51,1),(73,1),(93,1)}
        31:{1,2,5}:{(17,1),(18,1),(19,1),(48,1)}
        32:{2,3,6}:{(18,1),(22,1),(44,1),(48,1),(49,1),(73,1)}
        33:{1,3,6}:{(19,1),(22,1),(45,1),(48,1),(50,1),(73,1)}
        34:{4,5}:{(20,1),(51,1)}
        35:{3,5,6}:{(20,1),(22,1),(23,1),(51,1),(53,1),(54,1),(82,1)}
        36:{3,5,7}:{(20,1),(21,1),(24,1),(52,1),(54,1)}
        37:{3,7}:{(22,1),(25,1)}
        38:{1,2,5,7}:{(23,1),(25,1),(53,1),(55,1),(77,1),(78,1)}
        39:{1,2,6}:{(24,1),(54,1)}
        40:{3,4}:{(27,1),(57,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(56,1),(58,1),(59,1),(88,1)}
        42:{1,2,3,7}:{(26,1),(59,1),(67,1),(86,1)}
        43:{1,2,4,5}:{(27,1),(28,1),(29,1),(31,1),(57,1),(58,1),(60,1),(83,1)}
        44:{2,4,6}:{(28,1),(30,1),(32,1),(61,1),(62,1)}
        45:{1,4,6}:{(29,1),(30,1),(33,1),(63,1),(64,1)}
        46:{3,5,6}:{(30,1),(61,1),(63,1),(65,1),(66,1)}
        47:{3,4,7}:{(30,1),(37,1),(62,1),(64,1),(66,1),(68,1),(86,1),(99,1)}
        48:{1,2,6}:{(31,1),(32,1),(33,1),(67,1)}
        49:{2,3,7}:{(32,1),(37,1),(62,1),(67,1),(86,1)}
        50:{1,3,7}:{(33,1),(37,1),(64,1),(67,1),(86,1)}
        51:{4,6}:{(34,1),(35,1),(68,1)}
        52:{4,5,7}:{(34,1),(36,1),(68,1),(69,1),(92,1)}
        53:{3,5,7}:{(35,1),(37,1),(38,1),(68,1),(70,1),(92,1)}
        54:{3,6}:{(36,1),(39,1),(69,1)}
        55:{1,2,6,7}:{(38,1),(39,1),(70,1),(89,1),(90,1)}
        56:{3,4,6}:{(40,1),(41,1),(71,1),(72,1),(73,1),(93,1),(96,1)}
        57:{3,5}:{(40,1),(43,1),(73,1)}
        58:{1,2,5}:{(41,1),(71,1)}
        59:{1,2,4,7}:{(41,1),(42,1),(72,1),(75,1)}
        60:{1,2,4,6}:{(43,1),(44,1),(45,1),(48,1),(73,1),(74,1),(76,1),(93,1)}
        61:{2,5,6}:{(44,1),(46,1),(77,1)}
        62:{2,4,7}:{(44,1),(47,1),(49,1),(77,1)}
        63:{1,5,6}:{(45,1),(46,1),(78,1)}
        64:{1,4,7}:{(45,1),(47,1),(50,1),(78,1)}
        65:{4,5,6}:{(46,1),(51,1),(79,1),(82,1),(93,1),(103,1)}
        66:{3,5,7}:{(46,1),(47,1),(77,1),(78,1),(79,1),(80,1)}
        67:{1,2,7}:{(48,1),(49,1),(50,1)}
        68:{4,7}:{(51,1),(53,1)}
        69:{4,6}:{(52,1),(54,1),(82,1)}
        70:{3,6,7}:{(53,1),(54,1),(55,1),(81,1)}
        71:{3,5}:{(56,1),(58,1),(83,1)}
        72:{3,4,7}:{(56,1),(59,1),(85,1),(86,1),(99,1)}
        73:{3,6}:{(57,1),(60,1),(86,1)}
        74:{1,2,5,6}:{(58,1),(60,1),(61,1),(63,1),(84,1),(87,1),(88,1)}
        75:{1,2,5,7}:{(58,1),(59,1),(85,1),(88,1)}
        76:{1,2,4,7}:{(60,1),(62,1),(64,1),(67,1),(86,1),(87,1),(99,1)}
        77:{2,5,7}:{(61,1),(62,1),(66,1),(89,1)}
        78:{1,5,7}:{(63,1),(64,1),(66,1),(90,1)}
        79:{4,5,7}:{(65,1),(66,1),(68,1),(91,1),(92,1),(99,1),(104,1)}
        80:{3,6,7}:{(66,1),(89,1),(90,1),(91,1)}
        81:{4,6,7}:{(68,1),(69,1),(70,1),(92,1)}
        82:{5,6}:{(69,1),(92,1)}
        83:{4,5}:{(71,1),(93,1)}
        84:{3,5,6}:{(71,1),(73,1),(74,1),(93,1),(95,1),(96,1),(103,1)}
        85:{3,5,7}:{(71,1),(72,1),(75,1),(94,1),(96,1)}
        86:{3,7}:{(73,1),(76,1)}
        87:{1,2,5,7}:{(74,1),(76,1),(77,1),(78,1),(95,1),(97,1)}
        88:{1,2,6}:{(75,1),(96,1)}
        89:{2,6,7}:{(77,1),(80,1)}
        90:{1,6,7}:{(78,1),(80,1)}
        91:{4,6,7}:{(79,1),(80,1),(98,1)}
        92:{5,7}:{(81,1),(82,1)}
        93:{4,6}:{(83,1),(84,1),(99,1)}
        94:{4,5,7}:{(83,1),(85,1),(99,1),(100,1),(104,1)}
        95:{3,5,7}:{(84,1),(86,1),(87,1),(99,1),(101,1),(104,1)}
        96:{3,6}:{(85,1),(88,1),(100,1)}
        97:{1,2,6,7}:{(87,1),(88,1),(89,1),(90,1),(101,1)}
        98:{5,6,7}:{(91,1),(92,1),(104,1)}
        99:{4,7}:{(93,1),(95,1)}
       100:{4,6}:{(94,1),(96,1),(103,1)}
       101:{3,6,7}:{(95,1),(96,1),(97,1),(102,1)}
       102:{4,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 724 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(33,1),(60,1)}
         1:{1,2,3,5}:{(0,1),(5,1),(6,1),(17,1),(20,1),(45,1)}
         2:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(23,1)}
         3:{1,2,3,7}:{(0,1),(7,1),(48,1),(75,1)}
         4:{3,4,6}:{(2,1),(8,1),(9,1),(10,1),(26,1),(29,1),(33,1)}
         5:{1,2,4}:{(1,1),(10,1)}
         6:{1,2,5}:{(2,1),(8,1)}
         7:{1,2,4,7}:{(2,1),(3,1),(9,1),(13,1)}
         8:{3,5}:{(4,1),(6,1),(14,1)}
         9:{3,4,7}:{(4,1),(7,1),(16,1),(42,1),(48,1)}
        10:{3,4}:{(5,1),(20,1)}
        11:{1,2,4,5}:{(5,1),(6,1),(14,1),(20,1),(21,1),(39,1),(40,1),(45,1)}
        12:{1,2,5,6}:{(6,1),(15,1),(21,1),(22,1),(23,1),(66,1),(67,1)}
        13:{1,2,5,7}:{(6,1),(7,1),(16,1),(23,1)}
        14:{4,5}:{(8,1),(26,1)}
        15:{3,5,6}:{(8,1),(12,1),(26,1),(28,1),(29,1),(33,1),(59,1)}
        16:{3,5,7}:{(8,1),(9,1),(13,1),(27,1),(29,1)}
        17:{1,2,3}:{(30,1)}
        18:{2,3,4}:{(10,1),(30,1),(31,1),(53,1)}
        19:{1,3,4}:{(10,1),(30,1),(32,1),(53,1)}
        20:{3,5}:{(10,1),(11,1),(33,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(26,1),(33,1),(34,1),(55,1),(56,1),(60,1)}
        22:{1,2,5,7}:{(12,1),(28,1),(34,1),(35,1),(80,1),(81,1)}
        23:{1,2,6}:{(13,1),(29,1)}
        24:{1,2,3,5}:{(17,1),(36,1),(38,1),(45,1),(64,1),(70,1)}
        25:{3,4,5}:{(14,1),(20,1),(39,1),(40,1),(41,1),(70,1),(86,1)}
        26:{4,6}:{(14,1),(15,1),(42,1)}
        27:{4,5,7}:{(14,1),(16,1),(42,1),(43,1),(74,1)}
        28:{3,5,7}:{(15,1),(22,1),(42,1),(44,1),(48,1),(74,1)}
        29:{3,6}:{(16,1),(23,1),(43,1)}
        30:{1,2,4}:{(17,1),(18,1),(19,1),(45,1)}
        31:{2,3,5}:{(18,1),(20,1),(39,1),(45,1),(46,1),(70,1)}
        32:{1,3,5}:{(19,1),(20,1),(40,1),(45,1),(47,1),(70,1)}
        33:{3,6}:{(20,1),(21,1),(48,1)}
        34:{1,2,4,7}:{(21,1),(22,1),(42,1),(48,1),(72,1),(73,1),(75,1)}
        35:{1,2,6,7}:{(22,1),(23,1),(44,1),(91,1),(92,1)}
        36:{1,2,3,6}:{(24,1),(49,1),(50,1),(60,1),(84,1)}
        37:{4,5,6}:{(26,1),(51,1),(52,1),(59,1),(94,1),(103,1)}
        38:{1,2,4}:{(24,1),(53,1)}
        39:{2,4,5}:{(25,1),(31,1),(55,1)}
        40:{1,4,5}:{(25,1),(32,1),(56,1)}
        41:{3,4,6}:{(25,1),(26,1),(33,1),(51,1),(55,1),(56,1),(57,1),(84,1),(94,1)}
        42:{4,7}:{(26,1),(28,1)}
        43:{4,6}:{(27,1),(29,1),(59,1)}
        44:{3,6,7}:{(28,1),(29,1),(35,1),(58,1)}
        45:{1,2,5}:{(30,1),(31,1),(32,1),(60,1)}
        46:{2,3,6}:{(31,1),(33,1),(55,1),(60,1),(61,1),(84,1)}
        47:{1,3,6}:{(32,1),(33,1),(56,1),(60,1),(62,1),(84,1)}
        48:{3,7}:{(33,1),(34,1)}
        49:{1,2,4,6}:{(36,1),(38,1),(63,1),(64,1),(65,1),(90,1)}
        50:{1,2,3,7}:{(36,1),(65,1),(75,1),(93,1)}
        51:{3,5,6}:{(37,1),(41,1),(66,1),(67,1),(68,1)}
        52:{4,5,7}:{(37,1),(42,1),(68,1),(69,1),(74,1),(99,1),(104,1)}
        53:{3,4}:{(38,1),(70,1)}
        54:{1,2,4,5}:{(38,1),(39,1),(40,1),(45,1),(64,1),(70,1),(71,1),(86,1)}
        55:{2,4,6}:{(39,1),(41,1),(46,1),(66,1),(72,1)}
        56:{1,4,6}:{(40,1),(41,1),(47,1),(67,1),(73,1)}
        57:{3,4,7}:{(41,1),(42,1),(48,1),(68,1),(72,1),(73,1),(93,1),(99,1)}
        58:{4,6,7}:{(42,1),(43,1),(44,1),(74,1)}
        59:{5,6}:{(43,1),(74,1)}
        60:{1,2,6}:{(45,1),(46,1),(47,1),(75,1)}
        61:{2,3,7}:{(46,1),(48,1),(72,1),(75,1),(93,1)}
        62:{1,3,7}:{(47,1),(48,1),(73,1),(75,1),(93,1)}
        63:{3,4,6}:{(49,1),(53,1),(76,1),(77,1),(84,1),(94,1),(97,1)}
        64:{1,2,5}:{(49,1),(76,1)}
        65:{1,2,4,7}:{(49,1),(50,1),(77,1),(79,1)}
        66:{2,5,6}:{(51,1),(55,1),(80,1)}
        67:{1,5,6}:{(51,1),(56,1),(81,1)}
        68:{3,5,7}:{(51,1),(52,1),(57,1),(80,1),(81,1),(82,1)}
        69:{4,6,7}:{(52,1),(82,1),(83,1)}
        70:{3,5}:{(53,1),(54,1),(84,1)}
        71:{1,2,4,6}:{(54,1),(55,1),(56,1),(60,1),(78,1),(84,1),(85,1),(94,1)}
        72:{2,4,7}:{(55,1),(57,1),(61,1),(80,1)}
        73:{1,4,7}:{(56,1),(57,1),(62,1),(81,1)}
        74:{5,7}:{(58,1),(59,1)}
        75:{1,2,7}:{(60,1),(61,1),(62,1)}
        76:{3,5}:{(63,1),(64,1),(86,1)}
        77:{3,4,7}:{(63,1),(65,1),(88,1),(93,1),(99,1)}
        78:{1,2,5,6}:{(64,1),(66,1),(67,1),(71,1),(87,1),(89,1),(90,1)}
        79:{1,2,5,7}:{(64,1),(65,1),(88,1),(90,1)}
        80:{2,5,7}:{(66,1),(68,1),(72,1),(91,1)}
        81:{1,5,7}:{(67,1),(68,1),(73,1),(92,1)}
        82:{3,6,7}:{(68,1),(69,1),(91,1),(92,1)}
        83:{5,6,7}:{(69,1),(74,1),(104,1)}
        84:{3,6}:{(70,1),(71,1),(93,1)}
        85:{1,2,4,7}:{(71,1),(72,1),(73,1),(75,1),(89,1),(93,1),(99,1)}
        86:{4,5}:{(76,1),(94,1)}
        87:{3,5,6}:{(76,1),(78,1),(84,1),(94,1),(96,1),(97,1),(103,1)}
        88:{3,5,7}:{(76,1),(77,1),(79,1),(95,1),(97,1)}
        89:{1,2,5,7}:{(78,1),(80,1),(81,1),(85,1),(96,1),(98,1)}
        90:{1,2,6}:{(79,1),(97,1)}
        91:{2,6,7}:{(80,1),(82,1)}
        92:{1,6,7}:{(81,1),(82,1)}
        93:{3,7}:{(84,1),(85,1)}
        94:{4,6}:{(86,1),(87,1),(99,1)}
        95:{4,5,7}:{(86,1),(88,1),(99,1),(100,1),(104,1)}
        96:{3,5,7}:{(87,1),(89,1),(93,1),(99,1),(101,1),(104,1)}
        97:{3,6}:{(88,1),(90,1),(100,1)}
        98:{1,2,6,7}:{(89,1),(90,1),(91,1),(92,1),(101,1)}
        99:{4,7}:{(94,1),(96,1)}
       100:{4,6}:{(95,1),(97,1),(103,1)}
       101:{3,6,7}:{(96,1),(97,1),(98,1),(102,1)}
       102:{4,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 725 :   0:{1,2,3,7}:{(1,1),(2,1),(44,1),(68,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(4,1),(5,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(34,1),(58,1)}
         3:{3,4,7}:{(1,1),(7,1),(8,1),(40,1),(44,1)}
         4:{1,2,5,7}:{(1,1),(7,1),(9,1),(10,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(9,1),(10,1),(11,1)}
         6:{1,2,3,5}:{(2,1),(10,1),(11,1),(25,1),(47,1),(48,1)}
         7:{3,5,7}:{(3,1),(4,1),(12,1),(13,1),(14,1)}
         8:{3,4,6}:{(3,1),(5,1),(13,1),(14,1),(18,1),(31,1),(34,1)}
         9:{1,2,6}:{(4,1),(13,1)}
        10:{1,2,5}:{(5,1),(14,1)}
        11:{1,2,4}:{(6,1),(18,1)}
        12:{4,5,7}:{(7,1),(19,1),(22,1),(38,1),(40,1)}
        13:{3,6}:{(7,1),(9,1),(19,1)}
        14:{3,5}:{(8,1),(10,1),(22,1)}
        15:{1,2,6,7}:{(9,1),(20,1),(23,1),(80,1),(81,1)}
        16:{1,2,5,6}:{(9,1),(10,1),(21,1),(23,1),(24,1),(62,1),(63,1)}
        17:{1,2,4,5}:{(10,1),(11,1),(22,1),(24,1),(25,1),(42,1),(43,1),(47,1)}
        18:{3,4}:{(11,1),(25,1)}
        19:{4,6}:{(12,1),(13,1),(29,1)}
        20:{3,6,7}:{(13,1),(15,1),(28,1),(30,1)}
        21:{3,5,6}:{(13,1),(14,1),(16,1),(29,1),(30,1),(31,1),(34,1)}
        22:{4,5}:{(14,1),(31,1)}
        23:{1,2,5,7}:{(15,1),(16,1),(30,1),(33,1),(72,1),(73,1)}
        24:{1,2,4,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(53,1),(54,1),(58,1)}
        25:{3,5}:{(17,1),(18,1),(34,1)}
        26:{1,3,4}:{(18,1),(35,1),(37,1),(77,1)}
        27:{2,3,4}:{(18,1),(36,1),(37,1),(77,1)}
        28:{4,6,7}:{(19,1),(20,1),(38,1),(40,1)}
        29:{5,6}:{(19,1),(38,1)}
        30:{3,5,7}:{(20,1),(21,1),(23,1),(38,1),(40,1),(44,1)}
        31:{4,6}:{(21,1),(22,1),(40,1)}
        32:{3,4,5}:{(22,1),(25,1),(41,1),(42,1),(43,1),(67,1),(96,1)}
        33:{1,2,4,7}:{(23,1),(24,1),(40,1),(44,1),(64,1),(65,1),(68,1)}
        34:{3,6}:{(24,1),(25,1),(44,1)}
        35:{1,3,5}:{(25,1),(26,1),(42,1),(45,1),(47,1),(67,1)}
        36:{2,3,5}:{(25,1),(27,1),(43,1),(46,1),(47,1),(67,1)}
        37:{1,2,4}:{(26,1),(27,1),(47,1),(48,1)}
        38:{5,7}:{(28,1),(29,1)}
        39:{4,5,6}:{(29,1),(31,1),(50,1),(51,1),(90,1),(104,1)}
        40:{4,7}:{(30,1),(31,1)}
        41:{3,4,6}:{(31,1),(32,1),(34,1),(51,1),(52,1),(53,1),(54,1),(76,1),(90,1)}
        42:{1,4,5}:{(32,1),(35,1),(53,1)}
        43:{2,4,5}:{(32,1),(36,1),(54,1)}
        44:{3,7}:{(33,1),(34,1)}
        45:{1,3,6}:{(34,1),(35,1),(53,1),(56,1),(58,1),(76,1)}
        46:{2,3,6}:{(34,1),(36,1),(54,1),(57,1),(58,1),(76,1)}
        47:{1,2,5}:{(35,1),(36,1),(37,1),(58,1)}
        48:{1,2,3}:{(37,1)}
        49:{5,6,7}:{(38,1),(60,1),(102,1)}
        50:{4,5,7}:{(38,1),(39,1),(40,1),(60,1),(61,1),(95,1),(102,1)}
        51:{3,5,6}:{(39,1),(41,1),(61,1),(62,1),(63,1)}
        52:{3,4,7}:{(40,1),(41,1),(44,1),(61,1),(64,1),(65,1),(84,1),(95,1)}
        53:{1,4,6}:{(41,1),(42,1),(45,1),(62,1),(64,1)}
        54:{2,4,6}:{(41,1),(43,1),(46,1),(63,1),(65,1)}
        55:{1,2,4,5}:{(42,1),(43,1),(47,1),(66,1),(67,1),(70,1),(87,1),(96,1)}
        56:{1,3,7}:{(44,1),(45,1),(64,1),(68,1),(84,1)}
        57:{2,3,7}:{(44,1),(46,1),(65,1),(68,1),(84,1)}
        58:{1,2,6}:{(45,1),(46,1),(47,1),(68,1)}
        59:{1,2,3,5}:{(47,1),(48,1),(67,1),(69,1),(70,1),(87,1)}
        60:{4,6,7}:{(49,1),(50,1),(71,1)}
        61:{3,5,7}:{(50,1),(51,1),(52,1),(71,1),(72,1),(73,1)}
        62:{1,5,6}:{(51,1),(53,1),(72,1)}
        63:{2,5,6}:{(51,1),(54,1),(73,1)}
        64:{1,4,7}:{(52,1),(53,1),(56,1),(72,1)}
        65:{2,4,7}:{(52,1),(54,1),(57,1),(73,1)}
        66:{1,2,4,6}:{(53,1),(54,1),(55,1),(58,1),(74,1),(75,1),(76,1),(90,1)}
        67:{3,5}:{(55,1),(76,1),(77,1)}
        68:{1,2,7}:{(56,1),(57,1),(58,1)}
        69:{1,2,3,6}:{(58,1),(59,1),(76,1),(78,1),(79,1)}
        70:{1,2,4}:{(59,1),(77,1)}
        71:{3,6,7}:{(60,1),(61,1),(80,1),(81,1)}
        72:{1,5,7}:{(61,1),(62,1),(64,1),(80,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1),(81,1)}
        74:{1,2,5,6}:{(62,1),(63,1),(66,1),(82,1),(83,1),(87,1),(98,1)}
        75:{1,2,4,7}:{(64,1),(65,1),(66,1),(68,1),(82,1),(84,1),(95,1)}
        76:{3,6}:{(66,1),(67,1),(84,1)}
        77:{3,4}:{(67,1),(70,1)}
        78:{1,2,3,7}:{(68,1),(69,1),(84,1),(86,1)}
        79:{1,2,4,6}:{(69,1),(70,1),(85,1),(86,1),(87,1),(98,1)}
        80:{1,6,7}:{(71,1),(72,1)}
        81:{2,6,7}:{(71,1),(73,1)}
        82:{1,2,5,7}:{(72,1),(73,1),(74,1),(75,1),(88,1),(89,1)}
        83:{3,5,6}:{(74,1),(76,1),(89,1),(90,1),(92,1),(101,1),(104,1)}
        84:{3,7}:{(75,1),(76,1)}
        85:{3,4,6}:{(76,1),(77,1),(79,1),(90,1),(91,1),(92,1),(101,1)}
        86:{1,2,4,7}:{(78,1),(79,1),(91,1),(93,1)}
        87:{1,2,5}:{(79,1),(92,1)}
        88:{1,2,6,7}:{(80,1),(81,1),(82,1),(94,1),(98,1)}
        89:{3,5,7}:{(82,1),(83,1),(84,1),(94,1),(95,1),(102,1)}
        90:{4,6}:{(83,1),(95,1),(96,1)}
        91:{3,4,7}:{(84,1),(85,1),(86,1),(95,1),(97,1)}
        92:{3,5}:{(85,1),(87,1),(96,1)}
        93:{1,2,5,7}:{(86,1),(87,1),(97,1),(98,1)}
        94:{3,6,7}:{(88,1),(89,1),(99,1),(101,1)}
        95:{4,7}:{(89,1),(90,1)}
        96:{4,5}:{(90,1),(92,1)}
        97:{3,5,7}:{(91,1),(92,1),(93,1),(100,1),(101,1)}
        98:{1,2,6}:{(93,1),(101,1)}
        99:{4,6,7}:{(94,1),(95,1),(102,1),(103,1)}
       100:{4,5,7}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{5,7}:{(99,1),(104,1)}
       103:{4,6}:{(100,1),(101,1),(104,1)}
       104:{5,6}:{(102,1),(103,1)}

 726 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(2,1),(3,1)}
        2:{3,4}:{(1,1),(4,1)}
        3:{1,2,5}:{(1,1),(4,1),(5,1)}
        4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
        5:{1,2,6}:{(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:{1,2,7}:{(5,1),(10,1)}
        9:{4,6}:{(6,1),(7,1),(11,1),(12,1)}
       10:{3,7}:{(7,1),(8,1),(12,1)}
       11:{5,6}:{(9,1),(13,1)}
       12:{4,7}:{(9,1),(10,1),(13,1)}
       13:{5,7}:{(11,1),(12,1),(14,1)}
       14:{6,7}:{(13,1)}

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

 728 :   0:{2,4,5,7}:{(2,1),(3,1),(5,1),(14,1),(21,1),(37,1),(38,1)}
         1:{2,4,6,7}:{(3,1),(4,1),(5,1),(21,1)}
         2:{3,5,7}:{(0,1),(6,1),(7,1),(9,1),(26,1)}
         3:{2,4,6}:{(0,1),(9,1),(10,1),(30,1)}
         4:{3,6,7}:{(1,1),(9,1),(11,1),(12,1)}
         5:{2,5,7}:{(1,1),(10,1),(12,1),(53,1)}
         6:{3,4,7}:{(2,1),(13,1),(14,1),(15,1),(21,1),(34,1),(42,1)}
         7:{1,5,7}:{(2,1),(13,1),(17,1),(36,1)}
         8:{2,3,5,7}:{(2,1),(14,1),(16,1),(18,1),(34,1),(37,1),(60,1)}
         9:{3,6}:{(2,1),(3,1),(17,1)}
        10:{2,5,6}:{(3,1),(5,1),(19,1),(37,1),(64,1)}
        11:{1,6,7}:{(4,1),(17,1),(20,1)}
        12:{3,5,7}:{(4,1),(5,1),(19,1),(20,1),(21,1),(42,1)}
        13:{1,4,7}:{(6,1),(7,1),(22,1),(24,1)}
        14:{2,4,7}:{(6,1),(8,1),(25,1),(53,1),(72,1)}
        15:{3,4,6}:{(6,1),(9,1),(24,1),(25,1),(26,1),(30,1),(47,1),(52,1),(69,1),(72,1)}
        16:{1,2,5,7}:{(7,1),(8,1),(23,1),(27,1),(28,1),(48,1),(65,1)}
        17:{1,6}:{(7,1),(9,1)}
        18:{2,3,6}:{(8,1),(9,1),(25,1),(28,1),(47,1),(90,1)}
        19:{3,5,6}:{(9,1),(10,1),(12,1),(26,1),(29,1),(30,1),(52,1)}
        20:{1,5,7}:{(11,1),(12,1),(29,1),(31,1)}
        21:{4,7}:{(12,1),(30,1)}
        22:{1,3,7}:{(13,1),(32,1),(33,1),(34,1),(42,1)}
        23:{1,2,4,7}:{(13,1),(14,1),(16,1),(32,1),(34,1),(35,1),(39,1),(54,1)}
        24:{1,4,6}:{(13,1),(15,1),(17,1),(33,1),(36,1),(57,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(37,1),(64,1),(80,1)}
        26:{3,5}:{(15,1),(36,1),(37,1),(38,1)}
        27:{1,3,5,7}:{(16,1),(34,1),(39,1),(40,1),(58,1),(60,1),(63,1)}
        28:{1,2,6}:{(16,1),(17,1),(18,1),(40,1),(76,1),(97,1)}
        29:{1,5,6}:{(17,1),(19,1),(20,1),(36,1),(41,1)}
        30:{4,6}:{(19,1),(21,1),(38,1)}
        31:{1,4,7}:{(20,1),(21,1),(41,1),(42,1)}
        32:{1,2,7}:{(22,1),(43,1),(44,1),(53,1),(104,1)}
        33:{1,3,6}:{(22,1),(24,1),(44,1),(45,1),(47,1),(52,1)}
        34:{3,7}:{(23,1),(47,1)}
        35:{1,2,4,6}:{(23,1),(24,1),(25,1),(28,1),(44,1),(47,1),(48,1),(51,1),(66,1),(68,1),(72,1)}
        36:{1,5}:{(24,1),(26,1)}
        37:{2,5}:{(25,1),(26,1)}
        38:{4,5}:{(26,1),(30,1),(72,1)}
        39:{1,4,7}:{(27,1),(46,1),(51,1),(72,1),(104,1)}
        40:{1,3,6}:{(27,1),(28,1),(47,1),(51,1),(70,1),(89,1)}
        41:{1,4,6}:{(29,1),(30,1),(31,1),(49,1),(52,1)}
        42:{3,7}:{(31,1),(52,1),(53,1)}
        43:{2,3,7}:{(32,1),(34,1),(54,1),(55,1),(102,1)}
        44:{1,2,6}:{(32,1),(33,1),(55,1),(56,1),(64,1),(103,1)}
        45:{1,3,5}:{(33,1),(36,1),(56,1),(57,1),(60,1),(61,1),(79,1)}
        46:{3,4,7}:{(34,1),(39,1),(54,1),(58,1),(59,1),(98,1),(102,1)}
        47:{3,6}:{(34,1),(35,1),(60,1),(79,1)}
        48:{1,2,5}:{(35,1),(36,1),(37,1),(60,1),(63,1),(77,1)}
        49:{1,4,5}:{(36,1),(38,1),(41,1),(57,1),(61,1)}
        50:{1,4,5,7}:{(39,1),(58,1),(62,1),(63,1),(83,1),(84,1),(98,1)}
        51:{1,4,6}:{(39,1),(40,1),(59,1),(63,1),(96,1),(103,1)}
        52:{3,6}:{(41,1),(42,1),(61,1),(64,1)}
        53:{2,7}:{(42,1),(64,1)}
        54:{2,4,7}:{(43,1),(46,1),(65,1),(66,1)}
        55:{2,3,6}:{(43,1),(44,1),(47,1),(66,1),(67,1),(100,1)}
        56:{1,2,5}:{(44,1),(45,1),(67,1),(68,1),(73,1),(101,1)}
        57:{1,4}:{(45,1),(69,1),(72,1)}
        58:{3,5,7}:{(46,1),(50,1),(65,1),(70,1),(71,1)}
        59:{3,4,6}:{(46,1),(47,1),(51,1),(66,1),(70,1),(71,1),(72,1),(88,1),(92,1),(100,1)}
        60:{3,5}:{(47,1),(48,1),(72,1)}
        61:{3,5}:{(49,1),(52,1),(69,1),(73,1)}
        62:{1,4,6}:{(50,1),(70,1),(75,1),(92,1)}
        63:{1,5}:{(51,1),(71,1)}
        64:{2,6}:{(52,1),(53,1),(73,1)}
        65:{2,5,7}:{(54,1),(58,1),(76,1),(77,1)}
        66:{2,4,6}:{(54,1),(55,1),(59,1),(76,1),(77,1),(78,1)}
        67:{2,3,5}:{(55,1),(56,1),(60,1),(77,1),(78,1),(79,1),(95,1)}
        68:{1,2,4}:{(56,1),(57,1),(78,1),(79,1),(80,1),(96,1),(97,1)}
        69:{3,4}:{(57,1),(61,1),(79,1),(80,1)}
        70:{3,6}:{(58,1),(62,1),(76,1)}
        71:{3,5}:{(59,1),(63,1),(77,1),(83,1)}
        72:{4}:{(60,1)}
        73:{2,5}:{(61,1),(64,1),(80,1)}
        74:{1,4,6,7}:{(62,1),(81,1),(84,1),(98,1)}
        75:{1,5,6}:{(62,1),(63,1),(82,1),(84,1),(103,1)}
        76:{2,6}:{(65,1),(70,1)}
        77:{2,5}:{(66,1),(71,1)}
        78:{2,4}:{(67,1),(72,1),(88,1)}
        79:{3}:{(68,1)}
        80:{2,4}:{(69,1),(73,1),(90,1)}
        81:{3,6,7}:{(70,1),(74,1),(85,1),(91,1)}
        82:{3,5,6}:{(70,1),(71,1),(75,1),(86,1),(91,1),(92,1),(100,1)}
        83:{4,5}:{(71,1),(72,1),(92,1)}
        84:{1,5,7}:{(74,1),(75,1),(91,1),(104,1)}
        85:{2,6,7}:{(76,1),(81,1),(93,1)}
        86:{2,5,6}:{(76,1),(77,1),(82,1),(93,1),(94,1)}
        87:{2,4,5}:{(77,1),(78,1),(83,1),(94,1),(95,1)}
        88:{3,4}:{(78,1),(79,1),(95,1),(96,1)}
        89:{1,3}:{(79,1),(96,1),(97,1)}
        90:{2,3}:{(79,1),(80,1),(97,1)}
        91:{3,5,7}:{(81,1),(82,1),(84,1),(93,1),(98,1),(102,1)}
        92:{4,6}:{(82,1),(83,1),(98,1)}
        93:{2,5,7}:{(85,1),(86,1),(91,1),(99,1)}
        94:{2,4,6}:{(86,1),(87,1),(92,1),(99,1),(100,1)}
        95:{3,5}:{(87,1),(88,1),(100,1),(101,1)}
        96:{1,4}:{(88,1),(89,1),(101,1)}
        97:{1,2}:{(89,1),(90,1)}
        98:{4,7}:{(91,1),(92,1)}
        99:{2,4,7}:{(93,1),(94,1),(98,1),(102,1)}
       100:{3,6}:{(94,1),(95,1),(102,1),(103,1)}
       101:{1,5}:{(95,1),(96,1),(103,1)}
       102:{3,7}:{(99,1),(100,1),(104,1)}
       103:{1,6}:{(100,1),(101,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 729 :   0:{3,4,6,7}:{(3,1),(4,1),(5,1),(27,1),(28,1),(37,1),(68,1),(71,1),(72,1),(74,1),(125,1)}
         1:{1,3,6,7}:{(3,1),(6,1),(7,1),(28,1),(71,1),(122,1),(126,1)}
         2:{1,3,5,6}:{(7,1),(8,1),(9,1),(25,1),(33,1),(39,1),(69,1),(71,1),(79,1),(126,1),(160,1),(172,1)}
         3:{1,4,6,7}:{(0,1),(1,1),(13,1),(19,1),(46,1),(96,1),(100,1),(146,1)}
         4:{2,4,6,7}:{(0,1),(10,1),(14,1),(44,1),(47,1),(58,1),(99,1),(147,1)}
         5:{3,5,7}:{(0,1),(11,1),(13,1),(14,1),(15,1),(145,1)}
         6:{1,2,6,7}:{(1,1),(17,1),(18,1),(99,1),(144,1),(148,1),(151,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(13,1),(18,1),(19,1),(49,1),(51,1),(57,1)}
         8:{1,2,5,6}:{(2,1),(18,1),(20,1),(21,1),(54,1),(99,1),(108,1),(113,1),(148,1),(151,1),(169,1)}
         9:{1,4,6}:{(2,1),(16,1),(19,1),(22,1),(97,1),(106,1),(174,1)}
        10:{2,3,6,7}:{(4,1),(23,1),(24,1),(28,1),(72,1),(85,1),(127,1)}
        11:{3,5,6}:{(5,1),(25,1),(26,1),(27,1),(71,1),(72,1)}
        12:{1,2,4,6,7}:{(3,1),(4,1),(6,1),(23,1),(28,1),(29,1),(34,1),(36,1),(65,1),(67,1),(70,1),(74,1),(162,1)}
        13:{1,5,7}:{(3,1),(5,1),(25,1),(160,1)}
        14:{2,5,7}:{(4,1),(5,1),(26,1),(161,1)}
        15:{4,5,7}:{(5,1),(27,1),(74,1),(124,1)}
        16:{1,4,5}:{(9,1),(33,1),(124,1),(160,1)}
        17:{2,3,6,7}:{(6,1),(28,1),(34,1),(35,1),(123,1),(127,1),(133,1)}
        18:{1,2,5,7}:{(6,1),(7,1),(8,1),(35,1),(36,1),(76,1),(134,1)}
        19:{1,4,7}:{(7,1),(9,1),(37,1),(74,1)}
        20:{2,3,5,6}:{(8,1),(35,1),(38,1),(39,1),(69,1),(80,1),(81,1),(86,1),(127,1),(133,1),(161,1),(172,1)}
        21:{1,2,4,6}:{(8,1),(9,1),(32,1),(36,1),(38,1),(39,1),(40,1),(87,1),(88,1),(132,1)}
        22:{3,4,6}:{(9,1),(33,1),(37,1),(39,1),(40,1),(71,1),(78,1)}
        23:{1,2,6,7}:{(10,1),(42,1),(43,1),(100,1),(112,1),(148,1),(168,1)}
        24:{2,3,5,7}:{(10,1),(14,1),(41,1),(43,1),(44,1),(49,1),(52,1),(95,1)}
        25:{1,5,6}:{(11,1),(13,1),(46,1),(100,1)}
        26:{2,5,6}:{(11,1),(14,1),(47,1),(99,1)}
        27:{4,6}:{(11,1),(15,1)}
        28:{3,6,7}:{(12,1),(49,1),(57,1),(95,1),(98,1),(170,1)}
        29:{1,2,5,7}:{(12,1),(13,1),(14,1),(45,1),(49,1),(55,1),(93,1),(169,1)}
        30:{1,4,5,7}:{(13,1),(15,1),(16,1),(19,1),(46,1),(51,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(44,1),(47,1),(52,1),(89,1)}
        32:{1,2,4,5}:{(16,1),(21,1),(53,1),(54,1),(59,1),(106,1),(107,1),(108,1),(113,1),(169,1),(174,1)}
        33:{3,5}:{(16,1),(22,1),(54,1)}
        34:{2,4,6,7}:{(17,1),(48,1),(55,1),(56,1),(109,1),(143,1),(147,1),(168,1)}
        35:{2,3,5,7}:{(17,1),(18,1),(20,1),(49,1),(55,1),(56,1),(57,1),(110,1)}
        36:{1,2,4,7}:{(18,1),(19,1),(21,1),(56,1),(57,1),(58,1),(111,1),(112,1)}
        37:{3,4,7}:{(19,1),(22,1),(51,1),(57,1),(58,1)}
        38:{2,4,6}:{(20,1),(56,1),(59,1),(60,1),(97,1),(107,1),(174,1)}
        39:{3,6}:{(21,1),(53,1),(57,1),(150,1)}
        40:{2,4,6}:{(22,1),(54,1),(58,1),(62,1),(99,1),(107,1)}
        41:{2,3,5,6}:{(24,1),(26,1),(63,1),(64,1),(69,1),(72,1),(115,1),(117,1),(127,1),(154,1),(161,1),(172,1)}
        42:{1,3,6,7}:{(23,1),(28,1),(65,1),(66,1),(84,1),(126,1),(158,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(63,1),(66,1),(67,1),(77,1),(159,1)}
        44:{2,4,7}:{(24,1),(64,1),(68,1),(74,1)}
        45:{1,2,5,6}:{(25,1),(26,1),(29,1),(69,1),(70,1),(81,1),(119,1),(160,1),(161,1)}
        46:{1,4,6}:{(25,1),(27,1),(30,1),(71,1)}
        47:{2,4,6}:{(26,1),(27,1),(31,1),(72,1)}
        48:{3,4,6,7}:{(28,1),(34,1),(65,1),(73,1),(74,1),(83,1),(121,1),(125,1),(128,1),(133,1),(158,1)}
        49:{3,5,7}:{(28,1),(29,1),(69,1),(74,1),(172,1)}
        50:{1,2,4,5,7}:{(29,1),(30,1),(31,1),(32,1),(36,1),(67,1),(70,1),(74,1),(75,1),(76,1),(77,1),(82,1),(114,1),(120,1),(124,1),(129,1),(130,1),(131,1),(134,1),(159,1),(160,1),(161,1)}
        51:{3,5,7}:{(30,1),(33,1),(37,1),(71,1),(76,1)}
        52:{3,5,7}:{(31,1),(68,1),(72,1),(77,1),(115,1)}
        53:{3,5}:{(32,1),(39,1),(78,1)}
        54:{2,5}:{(33,1),(40,1)}
        55:{2,5,7}:{(34,1),(73,1),(81,1),(161,1)}
        56:{2,4,7}:{(35,1),(38,1),(74,1),(83,1)}
        57:{3,7}:{(36,1),(39,1)}
        58:{2,4,7}:{(37,1),(40,1),(76,1),(85,1)}
        59:{2,4,5}:{(38,1),(86,1),(124,1),(161,1)}
        60:{3,4,6}:{(38,1),(39,1),(78,1),(83,1),(86,1),(87,1),(133,1)}
        61:{1,3,6}:{(39,1),(79,1),(84,1),(87,1),(88,1)}
        62:{2,3,6}:{(39,1),(40,1),(80,1),(85,1),(88,1)}
        63:{1,2,5,6}:{(41,1),(43,1),(90,1),(91,1),(100,1),(136,1),(148,1),(166,1),(167,1),(168,1),(169,1)}
        64:{2,4,6}:{(41,1),(44,1),(89,1),(92,1),(97,1),(165,1),(174,1)}
        65:{1,4,6,7}:{(42,1),(48,1),(93,1),(94,1),(111,1),(141,1),(146,1),(151,1)}
        66:{1,3,5,7}:{(42,1),(43,1),(49,1),(90,1),(93,1),(94,1),(95,1),(142,1)}
        67:{1,2,4,7}:{(43,1),(44,1),(91,1),(94,1),(95,1),(96,1),(143,1),(144,1)}
        68:{3,4,7}:{(44,1),(52,1),(92,1),(95,1),(96,1)}
        69:{3,5,6}:{(45,1),(49,1),(97,1),(98,1),(145,1)}
        70:{1,2,4,6}:{(45,1),(46,1),(47,1),(50,1),(97,1),(98,1),(99,1),(100,1),(109,1),(141,1),(146,1),(147,1),(148,1),(151,1),(168,1)}
        71:{3,6}:{(46,1),(51,1),(99,1)}
        72:{3,6}:{(47,1),(52,1),(100,1)}
        73:{3,5,7}:{(48,1),(55,1),(93,1),(101,1),(102,1),(145,1)}
        74:{4,7}:{(49,1),(97,1),(174,1)}
        75:{3,5,7}:{(50,1),(53,1),(57,1),(95,1),(98,1),(103,1),(135,1),(145,1)}
        76:{2,5,7}:{(51,1),(54,1),(58,1),(99,1)}
        77:{1,5,7}:{(52,1),(96,1),(100,1),(136,1)}
        78:{3,4}:{(53,1),(106,1),(107,1),(150,1),(174,1)}
        79:{1,3,5}:{(53,1),(61,1),(106,1),(108,1),(113,1),(150,1)}
        80:{2,3,5}:{(53,1),(54,1),(62,1),(107,1),(108,1),(150,1)}
        81:{2,5,6}:{(55,1),(101,1),(109,1),(168,1)}
        82:{2,4,5,7}:{(55,1),(56,1),(59,1),(102,1),(109,1),(110,1)}
        83:{3,4,7}:{(56,1),(57,1),(60,1),(110,1),(111,1)}
        84:{1,3,7}:{(57,1),(61,1),(111,1),(112,1)}
        85:{2,3,7}:{(57,1),(58,1),(62,1),(112,1)}
        86:{3,5}:{(59,1),(60,1),(113,1)}
        87:{1,4,6}:{(60,1),(61,1),(106,1),(111,1),(113,1),(151,1)}
        88:{1,2,6}:{(61,1),(62,1),(108,1),(112,1)}
        89:{2,4,5}:{(64,1),(115,1),(124,1),(161,1)}
        90:{1,3,5,6}:{(63,1),(66,1),(69,1),(116,1),(117,1),(119,1),(126,1),(153,1),(155,1),(158,1),(160,1),(172,1)}
        91:{1,2,4,6}:{(63,1),(64,1),(67,1),(114,1),(116,1),(117,1),(118,1),(156,1),(157,1),(171,1)}
        92:{3,4,6}:{(64,1),(68,1),(72,1),(115,1),(117,1),(118,1),(152,1)}
        93:{1,5,7}:{(65,1),(73,1),(119,1),(160,1)}
        94:{1,4,7}:{(66,1),(74,1),(116,1),(121,1)}
        95:{3,7}:{(67,1),(117,1)}
        96:{1,4,7}:{(68,1),(77,1),(118,1),(122,1)}
        97:{4,6}:{(69,1),(74,1),(124,1)}
        98:{3,6}:{(70,1),(75,1)}
        99:{2,6}:{(71,1),(76,1)}
       100:{1,6}:{(72,1),(77,1)}
       101:{3,5,6}:{(73,1),(81,1),(119,1),(128,1),(133,1),(158,1)}
       102:{4,5,7}:{(73,1),(74,1),(124,1),(128,1)}
       103:{3,4,7}:{(74,1),(75,1),(78,1),(125,1),(129,1),(130,1),(152,1),(163,1)}
       104:{1,3,5,7}:{(75,1),(77,1),(79,1),(84,1),(122,1),(126,1),(129,1),(131,1),(134,1),(153,1),(160,1),(163,1),(172,1)}
       105:{2,3,5,7}:{(75,1),(76,1),(80,1),(85,1),(123,1),(127,1),(130,1),(131,1),(154,1),(159,1),(161,1),(163,1),(172,1)}
       106:{1,4}:{(78,1),(79,1)}
       107:{2,4}:{(78,1),(80,1)}
       108:{1,2,5}:{(79,1),(80,1),(88,1),(132,1)}
       109:{2,4,6}:{(81,1),(82,1),(128,1),(133,1)}
       110:{3,5,7}:{(82,1),(83,1),(86,1),(133,1),(134,1)}
       111:{1,4,7}:{(83,1),(84,1),(87,1),(134,1)}
       112:{1,2,7}:{(84,1),(85,1),(88,1)}
       113:{1,5}:{(86,1),(87,1)}
       114:{1,2,4,5}:{(89,1),(91,1),(135,1),(136,1),(137,1),(164,1),(165,1),(166,1),(167,1),(169,1),(174,1)}
       115:{3,5}:{(89,1),(92,1),(136,1)}
       116:{1,4,6}:{(90,1),(94,1),(97,1),(137,1),(138,1),(164,1),(174,1)}
       117:{3,6}:{(91,1),(95,1),(135,1),(173,1)}
       118:{1,4,6}:{(92,1),(96,1),(100,1),(136,1),(139,1),(164,1)}
       119:{1,5,6}:{(93,1),(101,1),(141,1),(151,1)}
       120:{1,4,5,7}:{(93,1),(94,1),(102,1),(137,1),(141,1),(142,1)}
       121:{3,4,7}:{(94,1),(95,1),(138,1),(142,1),(143,1)}
       122:{1,3,7}:{(95,1),(96,1),(139,1),(144,1)}
       123:{2,3,7}:{(95,1),(140,1),(143,1),(144,1)}
       124:{4,5}:{(97,1),(145,1),(174,1)}
       125:{3,4,6}:{(97,1),(98,1),(103,1),(145,1),(146,1),(147,1),(170,1),(174,1)}
       126:{1,3,6}:{(98,1),(100,1),(104,1),(146,1),(148,1),(151,1),(170,1)}
       127:{2,3,6}:{(98,1),(99,1),(105,1),(147,1),(148,1),(168,1),(170,1)}
       128:{4,6}:{(101,1),(102,1)}
       129:{1,4,7}:{(103,1),(104,1),(106,1),(146,1),(164,1),(174,1)}
       130:{2,4,7}:{(103,1),(105,1),(107,1),(147,1),(165,1),(174,1)}
       131:{1,2,5,7}:{(104,1),(105,1),(108,1),(112,1),(144,1),(148,1),(149,1),(166,1),(169,1)}
       132:{1,2,4}:{(106,1),(107,1),(108,1),(150,1)}
       133:{3,6}:{(109,1),(110,1),(151,1)}
       134:{1,5,7}:{(110,1),(111,1),(113,1),(151,1)}
       135:{3,5}:{(114,1),(117,1),(152,1)}
       136:{1,5}:{(115,1),(118,1)}
       137:{1,4,5}:{(116,1),(124,1),(155,1),(160,1)}
       138:{3,4,6}:{(116,1),(117,1),(121,1),(152,1),(155,1),(156,1),(158,1)}
       139:{1,3,6}:{(117,1),(118,1),(122,1),(153,1),(157,1)}
       140:{2,3,6}:{(117,1),(123,1),(154,1),(156,1),(157,1)}
       141:{1,4,6}:{(119,1),(120,1),(128,1),(158,1)}
       142:{3,5,7}:{(120,1),(121,1),(155,1),(158,1),(159,1)}
       143:{2,4,7}:{(121,1),(123,1),(156,1),(159,1)}
       144:{1,2,7}:{(122,1),(123,1),(157,1)}
       145:{3,5}:{(124,1),(125,1),(160,1),(161,1)}
       146:{1,4,6}:{(125,1),(126,1),(129,1),(160,1)}
       147:{2,4,6}:{(125,1),(127,1),(130,1),(161,1)}
       148:{1,2,6}:{(126,1),(127,1),(131,1)}
       149:{1,2,4,7}:{(129,1),(130,1),(131,1),(132,1),(162,1),(163,1),(171,1)}
       150:{3}:{(132,1)}
       151:{1,6}:{(133,1),(134,1)}
       152:{3,4}:{(135,1),(164,1),(165,1),(173,1),(174,1)}
       153:{1,3,5}:{(135,1),(136,1),(139,1),(164,1),(166,1),(173,1)}
       154:{2,3,5}:{(135,1),(140,1),(165,1),(166,1),(167,1),(173,1)}
       155:{3,5}:{(137,1),(138,1),(167,1)}
       156:{2,4,6}:{(138,1),(140,1),(143,1),(165,1),(167,1),(168,1)}
       157:{1,2,6}:{(139,1),(140,1),(144,1),(166,1)}
       158:{3,6}:{(141,1),(142,1),(168,1)}
       159:{2,5,7}:{(142,1),(143,1),(167,1),(168,1)}
       160:{1,5}:{(145,1),(146,1)}
       161:{2,5}:{(145,1),(147,1)}
       162:{1,2,4,6}:{(146,1),(147,1),(148,1),(149,1),(169,1),(170,1),(174,1)}
       163:{3,7}:{(149,1),(150,1),(170,1),(173,1)}
       164:{1,4}:{(152,1),(153,1)}
       165:{2,4}:{(152,1),(154,1)}
       166:{1,2,5}:{(153,1),(154,1),(157,1),(171,1)}
       167:{2,5}:{(155,1),(156,1)}
       168:{2,6}:{(158,1),(159,1)}
       169:{1,2,5}:{(160,1),(161,1),(162,1),(172,1)}
       170:{3,6}:{(162,1),(163,1),(172,1)}
       171:{1,2,4}:{(164,1),(165,1),(166,1),(173,1)}
       172:{3,5}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{4}:{(172,1)}

 730 :   0:{1,4,5,7}:{(2,1),(3,1),(5,1),(13,1),(21,1),(36,1),(38,1)}
         1:{1,4,6,7}:{(3,1),(4,1),(5,1),(21,1)}
         2:{3,5,7}:{(0,1),(6,1),(8,1),(9,1),(26,1)}
         3:{1,4,6}:{(0,1),(9,1),(10,1),(30,1)}
         4:{3,6,7}:{(1,1),(9,1),(11,1),(12,1)}
         5:{1,5,7}:{(1,1),(10,1),(12,1),(53,1)}
         6:{3,4,7}:{(2,1),(13,1),(14,1),(15,1),(21,1),(34,1),(42,1)}
         7:{1,3,5,7}:{(2,1),(13,1),(16,1),(17,1),(34,1),(36,1),(60,1)}
         8:{2,5,7}:{(2,1),(14,1),(18,1),(37,1)}
         9:{3,6}:{(2,1),(3,1),(18,1)}
        10:{1,5,6}:{(3,1),(5,1),(19,1),(36,1),(64,1)}
        11:{2,6,7}:{(4,1),(18,1),(20,1)}
        12:{3,5,7}:{(4,1),(5,1),(19,1),(20,1),(21,1),(42,1)}
        13:{1,4,7}:{(6,1),(7,1),(24,1),(53,1),(72,1)}
        14:{2,4,7}:{(6,1),(8,1),(22,1),(25,1)}
        15:{3,4,6}:{(6,1),(9,1),(24,1),(25,1),(26,1),(30,1),(47,1),(52,1),(69,1),(72,1)}
        16:{1,2,5,7}:{(7,1),(8,1),(23,1),(27,1),(28,1),(48,1),(65,1)}
        17:{1,3,6}:{(7,1),(9,1),(24,1),(28,1),(47,1),(89,1)}
        18:{2,6}:{(8,1),(9,1)}
        19:{3,5,6}:{(9,1),(10,1),(12,1),(26,1),(29,1),(30,1),(52,1)}
        20:{2,5,7}:{(11,1),(12,1),(29,1),(31,1)}
        21:{4,7}:{(12,1),(30,1)}
        22:{2,3,7}:{(14,1),(32,1),(33,1),(34,1),(42,1)}
        23:{1,2,4,7}:{(13,1),(14,1),(16,1),(32,1),(34,1),(35,1),(39,1),(54,1)}
        24:{1,4,6}:{(13,1),(15,1),(17,1),(36,1),(64,1),(80,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(33,1),(37,1),(57,1)}
        26:{3,5}:{(15,1),(36,1),(37,1),(38,1)}
        27:{2,3,5,7}:{(16,1),(34,1),(39,1),(40,1),(58,1),(60,1),(63,1)}
        28:{1,2,6}:{(16,1),(17,1),(18,1),(40,1),(76,1),(97,1)}
        29:{2,5,6}:{(18,1),(19,1),(20,1),(37,1),(41,1)}
        30:{4,6}:{(19,1),(21,1),(38,1)}
        31:{2,4,7}:{(20,1),(21,1),(41,1),(42,1)}
        32:{1,2,7}:{(22,1),(43,1),(44,1),(53,1),(104,1)}
        33:{2,3,6}:{(22,1),(25,1),(44,1),(45,1),(47,1),(52,1)}
        34:{3,7}:{(23,1),(47,1)}
        35:{1,2,4,6}:{(23,1),(24,1),(25,1),(28,1),(44,1),(47,1),(48,1),(51,1),(66,1),(68,1),(72,1)}
        36:{1,5}:{(24,1),(26,1)}
        37:{2,5}:{(25,1),(26,1)}
        38:{4,5}:{(26,1),(30,1),(72,1)}
        39:{2,4,7}:{(27,1),(46,1),(51,1),(72,1),(104,1)}
        40:{2,3,6}:{(27,1),(28,1),(47,1),(51,1),(70,1),(90,1)}
        41:{2,4,6}:{(29,1),(30,1),(31,1),(49,1),(52,1)}
        42:{3,7}:{(31,1),(52,1),(53,1)}
        43:{1,3,7}:{(32,1),(34,1),(54,1),(55,1),(102,1)}
        44:{1,2,6}:{(32,1),(33,1),(55,1),(56,1),(64,1),(103,1)}
        45:{2,3,5}:{(33,1),(37,1),(56,1),(57,1),(60,1),(61,1),(79,1)}
        46:{3,4,7}:{(34,1),(39,1),(54,1),(58,1),(59,1),(98,1),(102,1)}
        47:{3,6}:{(34,1),(35,1),(60,1),(79,1)}
        48:{1,2,5}:{(35,1),(36,1),(37,1),(60,1),(63,1),(77,1)}
        49:{2,4,5}:{(37,1),(38,1),(41,1),(57,1),(61,1)}
        50:{2,4,5,7}:{(39,1),(58,1),(62,1),(63,1),(83,1),(84,1),(98,1)}
        51:{2,4,6}:{(39,1),(40,1),(59,1),(63,1),(96,1),(103,1)}
        52:{3,6}:{(41,1),(42,1),(61,1),(64,1)}
        53:{1,7}:{(42,1),(64,1)}
        54:{1,4,7}:{(43,1),(46,1),(65,1),(66,1)}
        55:{1,3,6}:{(43,1),(44,1),(47,1),(66,1),(67,1),(100,1)}
        56:{1,2,5}:{(44,1),(45,1),(67,1),(68,1),(73,1),(101,1)}
        57:{2,4}:{(45,1),(69,1),(72,1)}
        58:{3,5,7}:{(46,1),(50,1),(65,1),(70,1),(71,1)}
        59:{3,4,6}:{(46,1),(47,1),(51,1),(66,1),(70,1),(71,1),(72,1),(88,1),(92,1),(100,1)}
        60:{3,5}:{(47,1),(48,1),(72,1)}
        61:{3,5}:{(49,1),(52,1),(69,1),(73,1)}
        62:{2,4,6}:{(50,1),(70,1),(75,1),(92,1)}
        63:{2,5}:{(51,1),(71,1)}
        64:{1,6}:{(52,1),(53,1),(73,1)}
        65:{1,5,7}:{(54,1),(58,1),(76,1),(77,1)}
        66:{1,4,6}:{(54,1),(55,1),(59,1),(76,1),(77,1),(78,1)}
        67:{1,3,5}:{(55,1),(56,1),(60,1),(77,1),(78,1),(79,1),(95,1)}
        68:{1,2,4}:{(56,1),(57,1),(78,1),(79,1),(80,1),(96,1),(97,1)}
        69:{3,4}:{(57,1),(61,1),(79,1),(80,1)}
        70:{3,6}:{(58,1),(62,1),(76,1)}
        71:{3,5}:{(59,1),(63,1),(77,1),(83,1)}
        72:{4}:{(60,1)}
        73:{1,5}:{(61,1),(64,1),(80,1)}
        74:{2,4,6,7}:{(62,1),(81,1),(84,1),(98,1)}
        75:{2,5,6}:{(62,1),(63,1),(82,1),(84,1),(103,1)}
        76:{1,6}:{(65,1),(70,1)}
        77:{1,5}:{(66,1),(71,1)}
        78:{1,4}:{(67,1),(72,1),(88,1)}
        79:{3}:{(68,1)}
        80:{1,4}:{(69,1),(73,1),(89,1)}
        81:{3,6,7}:{(70,1),(74,1),(85,1),(91,1)}
        82:{3,5,6}:{(70,1),(71,1),(75,1),(86,1),(91,1),(92,1),(100,1)}
        83:{4,5}:{(71,1),(72,1),(92,1)}
        84:{2,5,7}:{(74,1),(75,1),(91,1),(104,1)}
        85:{1,6,7}:{(76,1),(81,1),(93,1)}
        86:{1,5,6}:{(76,1),(77,1),(82,1),(93,1),(94,1)}
        87:{1,4,5}:{(77,1),(78,1),(83,1),(94,1),(95,1)}
        88:{3,4}:{(78,1),(79,1),(95,1),(96,1)}
        89:{1,3}:{(79,1),(80,1),(97,1)}
        90:{2,3}:{(79,1),(96,1),(97,1)}
        91:{3,5,7}:{(81,1),(82,1),(84,1),(93,1),(98,1),(102,1)}
        92:{4,6}:{(82,1),(83,1),(98,1)}
        93:{1,5,7}:{(85,1),(86,1),(91,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(92,1),(99,1),(100,1)}
        95:{3,5}:{(87,1),(88,1),(100,1),(101,1)}
        96:{2,4}:{(88,1),(90,1),(101,1)}
        97:{1,2}:{(89,1),(90,1)}
        98:{4,7}:{(91,1),(92,1)}
        99:{1,4,7}:{(93,1),(94,1),(98,1),(102,1)}
       100:{3,6}:{(94,1),(95,1),(102,1),(103,1)}
       101:{2,5}:{(95,1),(96,1),(103,1)}
       102:{3,7}:{(99,1),(100,1),(104,1)}
       103:{2,6}:{(100,1),(101,1),(104,1)}
       104:{2,7}:{(102,1),(103,1)}

 731 :   0:{2,3,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(32,1),(36,1),(99,1)}
         1:{1,2,5,6,7}:{(0,1),(3,1),(4,1),(22,1),(44,1),(51,1),(54,1),(80,1)}
         2:{2,4,6,7}:{(0,1),(5,1),(6,1),(50,1),(53,1),(117,1)}
         3:{1,3,5,6,7}:{(1,1),(7,1),(9,1),(26,1),(31,1),(59,1),(74,1)}
         4:{1,2,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(12,1),(28,1),(33,1),(71,1),(73,1),(98,1)}
         5:{2,4,5,7}:{(2,1),(10,1),(11,1),(129,1)}
         6:{3,4,6,7}:{(2,1),(9,1),(11,1),(12,1),(30,1),(34,1),(128,1)}
         7:{1,4,6,7}:{(3,1),(14,1),(15,1),(49,1),(78,1),(94,1)}
         8:{1,2,4,5,7}:{(4,1),(5,1),(14,1),(16,1),(17,1),(22,1),(44,1),(49,1),(50,1),(51,1)}
         9:{3,6,7}:{(4,1),(17,1),(91,1),(93,1),(116,1)}
        10:{2,4,5,6}:{(5,1),(20,1),(53,1)}
        11:{3,5,7}:{(5,1),(6,1),(20,1),(22,1),(136,1)}
        12:{1,4,6,7}:{(6,1),(18,1),(22,1),(49,1),(52,1),(135,1)}
        13:{2,3,4,6,7}:{(6,1),(19,1),(23,1),(24,1),(50,1),(53,1),(87,1),(91,1),(93,1),(96,1),(125,1)}
        14:{1,4,5,7}:{(7,1),(25,1),(26,1),(113,1)}
        15:{3,4,6,7}:{(7,1),(9,1),(26,1),(28,1),(30,1),(58,1),(112,1)}
        16:{1,2,4,5,6}:{(8,1),(10,1),(25,1),(29,1),(35,1),(60,1),(66,1),(67,1),(68,1),(73,1),(98,1),(105,1),(113,1),(129,1),(134,1),(139,1)}
        17:{3,5,7}:{(8,1),(9,1),(29,1),(30,1)}
        18:{1,3,6,7}:{(9,1),(12,1),(31,1),(33,1),(72,1),(127,1)}
        19:{2,3,6,7}:{(9,1),(28,1),(32,1),(33,1),(97,1),(111,1)}
        20:{3,5,6}:{(10,1),(11,1),(34,1),(35,1)}
        21:{3,4,5,7}:{(11,1),(30,1),(34,1),(37,1),(38,1),(65,1),(76,1)}
        22:{1,5,7}:{(11,1),(12,1),(35,1),(139,1)}
        23:{2,3,5,7}:{(11,1),(13,1),(36,1),(38,1),(39,1),(76,1),(104,1),(134,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(33,1),(39,1),(40,1),(71,1),(73,1),(77,1),(107,1)}
        25:{1,4,5,6}:{(14,1),(41,1),(78,1)}
        26:{3,5,7}:{(14,1),(15,1),(41,1),(44,1),(126,1)}
        27:{1,3,4,6,7}:{(15,1),(18,1),(43,1),(45,1),(49,1),(78,1),(86,1),(91,1),(116,1),(119,1),(135,1)}
        28:{2,4,6,7}:{(15,1),(19,1),(44,1),(50,1),(79,1),(125,1)}
        29:{3,5,6}:{(16,1),(17,1),(46,1),(93,1),(116,1),(122,1),(126,1),(136,1)}
        30:{3,4,7}:{(17,1),(46,1),(49,1),(50,1),(91,1)}
        31:{1,3,5,7}:{(17,1),(18,1),(22,1),(47,1),(49,1),(51,1),(91,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(44,1),(48,1),(50,1),(51,1),(91,1)}
        33:{1,2,6,7}:{(18,1),(19,1),(51,1),(92,1),(115,1)}
        34:{3,4,6}:{(20,1),(21,1),(52,1),(53,1),(93,1)}
        35:{1,5,6}:{(20,1),(22,1),(52,1)}
        36:{2,3,5,6}:{(20,1),(23,1),(53,1),(54,1),(93,1)}
        37:{1,4,5,7}:{(21,1),(22,1),(49,1),(52,1),(55,1),(84,1)}
        38:{2,4,5,7}:{(21,1),(23,1),(50,1),(53,1),(85,1)}
        39:{1,2,5,7}:{(22,1),(23,1),(24,1),(54,1),(57,1),(121,1)}
        40:{1,3,6,7}:{(24,1),(57,1),(91,1),(93,1),(124,1)}
        41:{3,5,6}:{(25,1),(26,1),(58,1),(60,1)}
        42:{3,4,5,7}:{(26,1),(30,1),(58,1),(61,1),(62,1),(65,1),(101,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(59,1),(61,1),(63,1),(101,1),(103,1),(139,1)}
        44:{2,5,7}:{(26,1),(28,1),(60,1),(134,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(33,1),(63,1),(64,1),(71,1),(98,1),(102,1),(106,1)}
        46:{3,4,6}:{(29,1),(30,1),(65,1),(66,1),(67,1),(108,1),(133,1)}
        47:{1,3,5,6}:{(29,1),(31,1),(35,1),(66,1),(68,1),(72,1),(103,1),(108,1),(127,1),(132,1),(139,1)}
        48:{2,3,5,6}:{(29,1),(32,1),(60,1),(67,1),(68,1),(97,1),(104,1),(108,1),(111,1),(131,1),(134,1)}
        49:{1,4,7}:{(30,1),(31,1),(66,1)}
        50:{2,4,7}:{(30,1),(32,1),(67,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(68,1),(71,1)}
        52:{1,4,6}:{(34,1),(35,1),(37,1),(72,1)}
        53:{2,4,6}:{(34,1),(36,1),(38,1)}
        54:{1,2,5,6}:{(35,1),(36,1),(39,1),(73,1),(74,1),(134,1)}
        55:{1,3,5,7}:{(37,1),(69,1),(72,1),(75,1),(76,1),(103,1)}
        56:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(71,1),(73,1),(75,1),(76,1),(77,1),(105,1),(113,1),(114,1),(134,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(74,1),(76,1),(77,1),(132,1)}
        58:{3,4,6}:{(41,1),(42,1),(78,1),(79,1),(116,1)}
        59:{1,3,5,6}:{(41,1),(43,1),(78,1),(80,1),(116,1)}
        60:{2,5,6}:{(41,1),(44,1),(79,1)}
        61:{1,4,5,7}:{(42,1),(43,1),(49,1),(78,1),(84,1)}
        62:{2,4,5,7}:{(42,1),(44,1),(50,1),(79,1),(81,1),(85,1)}
        63:{1,2,5,7}:{(43,1),(44,1),(45,1),(80,1),(83,1),(120,1)}
        64:{2,3,6,7}:{(45,1),(83,1),(91,1),(116,1),(123,1)}
        65:{3,4,5}:{(46,1),(84,1),(85,1),(122,1),(126,1),(136,1)}
        66:{1,4,6}:{(46,1),(47,1),(49,1),(84,1),(138,1)}
        67:{2,4,6}:{(46,1),(48,1),(50,1),(85,1),(137,1)}
        68:{1,2,5,6}:{(47,1),(48,1),(51,1),(88,1),(92,1),(115,1),(120,1),(121,1)}
        69:{1,3,4,7}:{(49,1),(55,1),(86,1),(89,1),(91,1),(96,1)}
        70:{2,3,4,7}:{(50,1),(81,1),(87,1),(90,1),(91,1),(119,1)}
        71:{1,2,4,7}:{(49,1),(50,1),(51,1),(88,1),(91,1)}
        72:{1,3,6}:{(52,1),(55,1),(92,1),(93,1)}
        73:{1,2,4,6}:{(52,1),(53,1),(54,1),(56,1),(92,1),(93,1),(94,1),(125,1)}
        74:{1,3,5,6}:{(54,1),(57,1),(93,1),(94,1),(126,1)}
        75:{1,2,5,7}:{(55,1),(89,1),(92,1),(95,1),(120,1)}
        76:{3,5,7}:{(56,1),(91,1),(93,1),(96,1),(122,1),(126,1)}
        77:{1,4,7}:{(57,1),(94,1),(96,1),(138,1)}
        78:{1,4,6}:{(58,1),(59,1),(61,1)}
        79:{2,4,6}:{(58,1),(60,1),(62,1),(97,1)}
        80:{1,2,5,6}:{(59,1),(60,1),(63,1),(98,1),(99,1),(139,1)}
        81:{2,3,5,7}:{(62,1),(70,1),(97,1),(100,1),(101,1),(104,1)}
        82:{1,2,4,5,7}:{(61,1),(62,1),(63,1),(71,1),(98,1),(100,1),(101,1),(102,1),(105,1),(129,1),(130,1),(139,1)}
        83:{2,3,5,7}:{(63,1),(64,1),(99,1),(101,1),(102,1),(131,1)}
        84:{1,4,5}:{(65,1),(66,1),(103,1),(139,1)}
        85:{2,4,5}:{(65,1),(67,1),(104,1),(134,1)}
        86:{1,3,4,6}:{(66,1),(69,1),(72,1),(103,1),(106,1),(108,1),(112,1),(133,1)}
        87:{2,3,4,6}:{(67,1),(70,1),(97,1),(104,1),(107,1),(108,1),(128,1),(133,1)}
        88:{1,2,4,6}:{(66,1),(67,1),(68,1),(71,1),(105,1),(108,1)}
        89:{1,2,4,7}:{(69,1),(75,1),(106,1),(109,1),(114,1)}
        90:{1,2,4,7}:{(70,1),(100,1),(107,1),(110,1),(130,1)}
        91:{3,7}:{(71,1),(108,1)}
        92:{1,2,6}:{(72,1),(75,1),(111,1)}
        93:{3,6}:{(73,1),(76,1)}
        94:{1,4,6}:{(74,1),(77,1),(112,1),(113,1)}
        95:{2,3,5,7}:{(75,1),(76,1),(109,1),(111,1),(114,1),(131,1),(134,1)}
        96:{3,4,7}:{(76,1),(77,1),(112,1),(114,1),(133,1)}
        97:{2,3,6}:{(79,1),(81,1),(115,1),(116,1)}
        98:{1,2,4,6}:{(78,1),(79,1),(80,1),(82,1),(115,1),(116,1),(117,1),(135,1)}
        99:{2,3,5,6}:{(80,1),(83,1),(116,1),(117,1),(136,1)}
       100:{1,2,5,7}:{(81,1),(90,1),(115,1),(118,1),(121,1)}
       101:{3,5,7}:{(82,1),(91,1),(116,1),(119,1),(122,1),(136,1)}
       102:{2,4,7}:{(83,1),(117,1),(119,1),(137,1)}
       103:{1,3,5}:{(84,1),(86,1),(120,1),(122,1),(126,1)}
       104:{2,3,5}:{(85,1),(87,1),(121,1),(122,1),(136,1)}
       105:{1,2,4,5}:{(84,1),(85,1),(88,1),(120,1),(121,1),(122,1),(137,1),(138,1)}
       106:{1,2,4,6}:{(86,1),(89,1),(92,1),(120,1),(123,1),(125,1),(137,1)}
       107:{1,2,4,6}:{(87,1),(90,1),(115,1),(121,1),(124,1),(135,1),(138,1)}
       108:{3,6}:{(88,1),(91,1),(122,1)}
       109:{2,3,7}:{(89,1),(91,1),(123,1)}
       110:{1,3,7}:{(90,1),(91,1),(124,1)}
       111:{2,3,6}:{(92,1),(93,1),(95,1),(125,1)}
       112:{3,4,6}:{(93,1),(94,1),(96,1),(125,1),(126,1)}
       113:{1,4,5}:{(94,1),(126,1)}
       114:{2,4,7}:{(95,1),(96,1),(125,1),(137,1)}
       115:{1,2,6}:{(97,1),(100,1),(127,1)}
       116:{3,6}:{(98,1),(101,1)}
       117:{2,4,6}:{(99,1),(102,1),(128,1),(129,1)}
       118:{1,3,5,7}:{(100,1),(101,1),(110,1),(127,1),(130,1),(132,1),(139,1)}
       119:{3,4,7}:{(101,1),(102,1),(128,1),(130,1),(133,1)}
       120:{1,2,5}:{(103,1),(106,1),(131,1),(134,1)}
       121:{1,2,5}:{(104,1),(107,1),(132,1),(139,1)}
       122:{3,5}:{(105,1),(108,1),(133,1)}
       123:{2,3,6}:{(106,1),(108,1),(109,1),(131,1)}
       124:{1,3,6}:{(107,1),(108,1),(110,1),(132,1)}
       125:{2,4,6}:{(111,1),(112,1),(114,1),(134,1)}
       126:{3,5}:{(112,1),(113,1),(134,1)}
       127:{1,3,6}:{(115,1),(116,1),(118,1),(135,1)}
       128:{3,4,6}:{(116,1),(117,1),(119,1),(135,1),(136,1)}
       129:{2,4,5}:{(117,1),(136,1)}
       130:{1,4,7}:{(118,1),(119,1),(135,1),(138,1)}
       131:{2,3,5}:{(120,1),(122,1),(123,1),(137,1)}
       132:{1,3,5}:{(121,1),(122,1),(124,1),(138,1)}
       133:{3,4}:{(122,1),(137,1),(138,1)}
       134:{2,5}:{(125,1),(126,1)}
       135:{1,4,6}:{(127,1),(128,1),(130,1),(139,1)}
       136:{3,5}:{(128,1),(129,1),(139,1)}
       137:{2,4}:{(131,1),(133,1)}
       138:{1,4}:{(132,1),(133,1)}
       139:{1,5}:{(135,1),(136,1)}

 732 :   0:{3,4,6,7}:{(3,1),(4,1),(5,1),(27,1),(28,1),(37,1),(68,1),(71,1),(72,1),(74,1),(125,1)}
         1:{2,3,6,7}:{(4,1),(6,1),(7,1),(28,1),(72,1),(123,1),(127,1)}
         2:{2,3,5,6}:{(7,1),(8,1),(9,1),(26,1),(33,1),(39,1),(69,1),(72,1),(80,1),(127,1),(161,1),(172,1)}
         3:{1,4,6,7}:{(0,1),(10,1),(13,1),(44,1),(46,1),(58,1),(100,1),(146,1)}
         4:{2,4,6,7}:{(0,1),(1,1),(14,1),(19,1),(47,1),(96,1),(99,1),(147,1)}
         5:{3,5,7}:{(0,1),(11,1),(13,1),(14,1),(15,1),(145,1)}
         6:{1,2,6,7}:{(1,1),(17,1),(18,1),(100,1),(144,1),(148,1),(151,1)}
         7:{2,3,5,7}:{(1,1),(2,1),(14,1),(18,1),(19,1),(49,1),(52,1),(57,1)}
         8:{1,2,5,6}:{(2,1),(18,1),(20,1),(21,1),(54,1),(100,1),(108,1),(113,1),(148,1),(151,1),(169,1)}
         9:{2,4,6}:{(2,1),(16,1),(19,1),(22,1),(97,1),(107,1),(174,1)}
        10:{1,3,6,7}:{(3,1),(23,1),(24,1),(28,1),(71,1),(84,1),(126,1)}
        11:{3,5,6}:{(5,1),(25,1),(26,1),(27,1),(71,1),(72,1)}
        12:{1,2,4,6,7}:{(3,1),(4,1),(6,1),(23,1),(28,1),(29,1),(34,1),(36,1),(65,1),(67,1),(70,1),(74,1),(162,1)}
        13:{1,5,7}:{(3,1),(5,1),(25,1),(160,1)}
        14:{2,5,7}:{(4,1),(5,1),(26,1),(161,1)}
        15:{4,5,7}:{(5,1),(27,1),(74,1),(124,1)}
        16:{2,4,5}:{(9,1),(33,1),(124,1),(161,1)}
        17:{1,3,6,7}:{(6,1),(28,1),(34,1),(35,1),(122,1),(126,1),(133,1)}
        18:{1,2,5,7}:{(6,1),(7,1),(8,1),(35,1),(36,1),(77,1),(134,1)}
        19:{2,4,7}:{(7,1),(9,1),(37,1),(74,1)}
        20:{1,3,5,6}:{(8,1),(35,1),(38,1),(39,1),(69,1),(79,1),(81,1),(86,1),(126,1),(133,1),(160,1),(172,1)}
        21:{1,2,4,6}:{(8,1),(9,1),(32,1),(36,1),(38,1),(39,1),(40,1),(87,1),(88,1),(132,1)}
        22:{3,4,6}:{(9,1),(33,1),(37,1),(39,1),(40,1),(72,1),(78,1)}
        23:{1,2,6,7}:{(10,1),(42,1),(43,1),(99,1),(112,1),(148,1),(168,1)}
        24:{1,3,5,7}:{(10,1),(13,1),(41,1),(43,1),(44,1),(49,1),(51,1),(95,1)}
        25:{1,5,6}:{(11,1),(13,1),(46,1),(100,1)}
        26:{2,5,6}:{(11,1),(14,1),(47,1),(99,1)}
        27:{4,6}:{(11,1),(15,1)}
        28:{3,6,7}:{(12,1),(49,1),(57,1),(95,1),(98,1),(170,1)}
        29:{1,2,5,7}:{(12,1),(13,1),(14,1),(45,1),(49,1),(55,1),(93,1),(169,1)}
        30:{1,4,5,7}:{(13,1),(15,1),(44,1),(46,1),(51,1),(89,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(16,1),(19,1),(47,1),(52,1)}
        32:{1,2,4,5}:{(16,1),(21,1),(53,1),(54,1),(59,1),(106,1),(107,1),(108,1),(113,1),(169,1),(174,1)}
        33:{3,5}:{(16,1),(22,1),(54,1)}
        34:{1,4,6,7}:{(17,1),(48,1),(55,1),(56,1),(109,1),(143,1),(146,1),(168,1)}
        35:{1,3,5,7}:{(17,1),(18,1),(20,1),(49,1),(55,1),(56,1),(57,1),(110,1)}
        36:{1,2,4,7}:{(18,1),(19,1),(21,1),(56,1),(57,1),(58,1),(111,1),(112,1)}
        37:{3,4,7}:{(19,1),(22,1),(52,1),(57,1),(58,1)}
        38:{1,4,6}:{(20,1),(56,1),(59,1),(60,1),(97,1),(106,1),(174,1)}
        39:{3,6}:{(21,1),(53,1),(57,1),(150,1)}
        40:{1,4,6}:{(22,1),(54,1),(58,1),(61,1),(100,1),(106,1)}
        41:{1,3,5,6}:{(24,1),(25,1),(63,1),(64,1),(69,1),(71,1),(115,1),(117,1),(126,1),(153,1),(160,1),(172,1)}
        42:{2,3,6,7}:{(23,1),(28,1),(65,1),(66,1),(85,1),(127,1),(158,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(63,1),(66,1),(67,1),(76,1),(159,1)}
        44:{1,4,7}:{(24,1),(64,1),(68,1),(74,1)}
        45:{1,2,5,6}:{(25,1),(26,1),(29,1),(69,1),(70,1),(81,1),(119,1),(160,1),(161,1)}
        46:{1,4,6}:{(25,1),(27,1),(30,1),(71,1)}
        47:{2,4,6}:{(26,1),(27,1),(31,1),(72,1)}
        48:{3,4,6,7}:{(28,1),(34,1),(65,1),(73,1),(74,1),(83,1),(121,1),(125,1),(128,1),(133,1),(158,1)}
        49:{3,5,7}:{(28,1),(29,1),(69,1),(74,1),(172,1)}
        50:{1,2,4,5,7}:{(29,1),(30,1),(31,1),(32,1),(36,1),(67,1),(70,1),(74,1),(75,1),(76,1),(77,1),(82,1),(114,1),(120,1),(124,1),(129,1),(130,1),(131,1),(134,1),(159,1),(160,1),(161,1)}
        51:{3,5,7}:{(30,1),(68,1),(71,1),(76,1),(115,1)}
        52:{3,5,7}:{(31,1),(33,1),(37,1),(72,1),(77,1)}
        53:{3,5}:{(32,1),(39,1),(78,1)}
        54:{1,5}:{(33,1),(40,1)}
        55:{1,5,7}:{(34,1),(73,1),(81,1),(160,1)}
        56:{1,4,7}:{(35,1),(38,1),(74,1),(83,1)}
        57:{3,7}:{(36,1),(39,1)}
        58:{1,4,7}:{(37,1),(40,1),(77,1),(84,1)}
        59:{1,4,5}:{(38,1),(86,1),(124,1),(160,1)}
        60:{3,4,6}:{(38,1),(39,1),(78,1),(83,1),(86,1),(87,1),(133,1)}
        61:{1,3,6}:{(39,1),(40,1),(79,1),(84,1),(88,1)}
        62:{2,3,6}:{(39,1),(80,1),(85,1),(87,1),(88,1)}
        63:{1,2,5,6}:{(41,1),(43,1),(90,1),(91,1),(99,1),(136,1),(148,1),(166,1),(167,1),(168,1),(169,1)}
        64:{1,4,6}:{(41,1),(44,1),(89,1),(92,1),(97,1),(164,1),(174,1)}
        65:{2,4,6,7}:{(42,1),(48,1),(93,1),(94,1),(111,1),(141,1),(147,1),(151,1)}
        66:{2,3,5,7}:{(42,1),(43,1),(49,1),(90,1),(93,1),(94,1),(95,1),(142,1)}
        67:{1,2,4,7}:{(43,1),(44,1),(91,1),(94,1),(95,1),(96,1),(143,1),(144,1)}
        68:{3,4,7}:{(44,1),(51,1),(92,1),(95,1),(96,1)}
        69:{3,5,6}:{(45,1),(49,1),(97,1),(98,1),(145,1)}
        70:{1,2,4,6}:{(45,1),(46,1),(47,1),(50,1),(97,1),(98,1),(99,1),(100,1),(109,1),(141,1),(146,1),(147,1),(148,1),(151,1),(168,1)}
        71:{3,6}:{(46,1),(51,1),(99,1)}
        72:{3,6}:{(47,1),(52,1),(100,1)}
        73:{3,5,7}:{(48,1),(55,1),(93,1),(101,1),(102,1),(145,1)}
        74:{4,7}:{(49,1),(97,1),(174,1)}
        75:{3,5,7}:{(50,1),(53,1),(57,1),(95,1),(98,1),(103,1),(135,1),(145,1)}
        76:{2,5,7}:{(51,1),(96,1),(99,1),(136,1)}
        77:{1,5,7}:{(52,1),(54,1),(58,1),(100,1)}
        78:{3,4}:{(53,1),(106,1),(107,1),(150,1),(174,1)}
        79:{1,3,5}:{(53,1),(54,1),(61,1),(106,1),(108,1),(150,1)}
        80:{2,3,5}:{(53,1),(62,1),(107,1),(108,1),(113,1),(150,1)}
        81:{1,5,6}:{(55,1),(101,1),(109,1),(168,1)}
        82:{1,4,5,7}:{(55,1),(56,1),(59,1),(102,1),(109,1),(110,1)}
        83:{3,4,7}:{(56,1),(57,1),(60,1),(110,1),(111,1)}
        84:{1,3,7}:{(57,1),(58,1),(61,1),(112,1)}
        85:{2,3,7}:{(57,1),(62,1),(111,1),(112,1)}
        86:{3,5}:{(59,1),(60,1),(113,1)}
        87:{2,4,6}:{(60,1),(62,1),(107,1),(111,1),(113,1),(151,1)}
        88:{1,2,6}:{(61,1),(62,1),(108,1),(112,1)}
        89:{1,4,5}:{(64,1),(115,1),(124,1),(160,1)}
        90:{2,3,5,6}:{(63,1),(66,1),(69,1),(116,1),(117,1),(119,1),(127,1),(154,1),(155,1),(158,1),(161,1),(172,1)}
        91:{1,2,4,6}:{(63,1),(64,1),(67,1),(114,1),(116,1),(117,1),(118,1),(156,1),(157,1),(171,1)}
        92:{3,4,6}:{(64,1),(68,1),(71,1),(115,1),(117,1),(118,1),(152,1)}
        93:{2,5,7}:{(65,1),(73,1),(119,1),(161,1)}
        94:{2,4,7}:{(66,1),(74,1),(116,1),(121,1)}
        95:{3,7}:{(67,1),(117,1)}
        96:{2,4,7}:{(68,1),(76,1),(118,1),(123,1)}
        97:{4,6}:{(69,1),(74,1),(124,1)}
        98:{3,6}:{(70,1),(75,1)}
        99:{2,6}:{(71,1),(76,1)}
       100:{1,6}:{(72,1),(77,1)}
       101:{3,5,6}:{(73,1),(81,1),(119,1),(128,1),(133,1),(158,1)}
       102:{4,5,7}:{(73,1),(74,1),(124,1),(128,1)}
       103:{3,4,7}:{(74,1),(75,1),(78,1),(125,1),(129,1),(130,1),(152,1),(163,1)}
       104:{1,3,5,7}:{(75,1),(77,1),(79,1),(84,1),(122,1),(126,1),(129,1),(131,1),(153,1),(159,1),(160,1),(163,1),(172,1)}
       105:{2,3,5,7}:{(75,1),(76,1),(80,1),(85,1),(123,1),(127,1),(130,1),(131,1),(134,1),(154,1),(161,1),(163,1),(172,1)}
       106:{1,4}:{(78,1),(79,1)}
       107:{2,4}:{(78,1),(80,1)}
       108:{1,2,5}:{(79,1),(80,1),(88,1),(132,1)}
       109:{1,4,6}:{(81,1),(82,1),(128,1),(133,1)}
       110:{3,5,7}:{(82,1),(83,1),(86,1),(133,1),(134,1)}
       111:{2,4,7}:{(83,1),(85,1),(87,1),(134,1)}
       112:{1,2,7}:{(84,1),(85,1),(88,1)}
       113:{2,5}:{(86,1),(87,1)}
       114:{1,2,4,5}:{(89,1),(91,1),(135,1),(136,1),(137,1),(164,1),(165,1),(166,1),(167,1),(169,1),(174,1)}
       115:{3,5}:{(89,1),(92,1),(136,1)}
       116:{2,4,6}:{(90,1),(94,1),(97,1),(137,1),(138,1),(165,1),(174,1)}
       117:{3,6}:{(91,1),(95,1),(135,1),(173,1)}
       118:{2,4,6}:{(92,1),(96,1),(99,1),(136,1),(140,1),(165,1)}
       119:{2,5,6}:{(93,1),(101,1),(141,1),(151,1)}
       120:{2,4,5,7}:{(93,1),(94,1),(102,1),(137,1),(141,1),(142,1)}
       121:{3,4,7}:{(94,1),(95,1),(138,1),(142,1),(143,1)}
       122:{1,3,7}:{(95,1),(139,1),(143,1),(144,1)}
       123:{2,3,7}:{(95,1),(96,1),(140,1),(144,1)}
       124:{4,5}:{(97,1),(145,1),(174,1)}
       125:{3,4,6}:{(97,1),(98,1),(103,1),(145,1),(146,1),(147,1),(170,1),(174,1)}
       126:{1,3,6}:{(98,1),(100,1),(104,1),(146,1),(148,1),(168,1),(170,1)}
       127:{2,3,6}:{(98,1),(99,1),(105,1),(147,1),(148,1),(151,1),(170,1)}
       128:{4,6}:{(101,1),(102,1)}
       129:{1,4,7}:{(103,1),(104,1),(106,1),(146,1),(164,1),(174,1)}
       130:{2,4,7}:{(103,1),(105,1),(107,1),(147,1),(165,1),(174,1)}
       131:{1,2,5,7}:{(104,1),(105,1),(108,1),(112,1),(144,1),(148,1),(149,1),(166,1),(169,1)}
       132:{1,2,4}:{(106,1),(107,1),(108,1),(150,1)}
       133:{3,6}:{(109,1),(110,1),(151,1)}
       134:{2,5,7}:{(110,1),(111,1),(113,1),(151,1)}
       135:{3,5}:{(114,1),(117,1),(152,1)}
       136:{2,5}:{(115,1),(118,1)}
       137:{2,4,5}:{(116,1),(124,1),(155,1),(161,1)}
       138:{3,4,6}:{(116,1),(117,1),(121,1),(152,1),(155,1),(156,1),(158,1)}
       139:{1,3,6}:{(117,1),(122,1),(153,1),(156,1),(157,1)}
       140:{2,3,6}:{(117,1),(118,1),(123,1),(154,1),(157,1)}
       141:{2,4,6}:{(119,1),(120,1),(128,1),(158,1)}
       142:{3,5,7}:{(120,1),(121,1),(155,1),(158,1),(159,1)}
       143:{1,4,7}:{(121,1),(122,1),(156,1),(159,1)}
       144:{1,2,7}:{(122,1),(123,1),(157,1)}
       145:{3,5}:{(124,1),(125,1),(160,1),(161,1)}
       146:{1,4,6}:{(125,1),(126,1),(129,1),(160,1)}
       147:{2,4,6}:{(125,1),(127,1),(130,1),(161,1)}
       148:{1,2,6}:{(126,1),(127,1),(131,1)}
       149:{1,2,4,7}:{(129,1),(130,1),(131,1),(132,1),(162,1),(163,1),(171,1)}
       150:{3}:{(132,1)}
       151:{2,6}:{(133,1),(134,1)}
       152:{3,4}:{(135,1),(164,1),(165,1),(173,1),(174,1)}
       153:{1,3,5}:{(135,1),(139,1),(164,1),(166,1),(167,1),(173,1)}
       154:{2,3,5}:{(135,1),(136,1),(140,1),(165,1),(166,1),(173,1)}
       155:{3,5}:{(137,1),(138,1),(167,1)}
       156:{1,4,6}:{(138,1),(139,1),(143,1),(164,1),(167,1),(168,1)}
       157:{1,2,6}:{(139,1),(140,1),(144,1),(166,1)}
       158:{3,6}:{(141,1),(142,1),(168,1)}
       159:{1,5,7}:{(142,1),(143,1),(167,1),(168,1)}
       160:{1,5}:{(145,1),(146,1)}
       161:{2,5}:{(145,1),(147,1)}
       162:{1,2,4,6}:{(146,1),(147,1),(148,1),(149,1),(169,1),(170,1),(174,1)}
       163:{3,7}:{(149,1),(150,1),(170,1),(173,1)}
       164:{1,4}:{(152,1),(153,1)}
       165:{2,4}:{(152,1),(154,1)}
       166:{1,2,5}:{(153,1),(154,1),(157,1),(171,1)}
       167:{1,5}:{(155,1),(156,1)}
       168:{1,6}:{(158,1),(159,1)}
       169:{1,2,5}:{(160,1),(161,1),(162,1),(172,1)}
       170:{3,6}:{(162,1),(163,1),(172,1)}
       171:{1,2,4}:{(164,1),(165,1),(166,1),(173,1)}
       172:{3,5}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{4}:{(172,1)}

 733 :   0:{3,4,5,7}:{(3,1),(4,1),(5,1),(27,1),(33,1),(67,1),(76,1),(124,1),(135,1),(141,1),(142,1)}
         1:{2,3,4,7}:{(6,1),(7,1),(8,1),(49,1),(93,1),(151,1),(167,1),(195,1)}
         2:{1,3,4,7}:{(9,1),(10,1),(11,1),(49,1),(103,1),(155,1),(162,1),(201,1)}
         3:{1,4,5,7}:{(0,1),(9,1),(13,1),(48,1),(53,1),(97,1),(103,1),(154,1)}
         4:{2,4,5,7}:{(0,1),(6,1),(14,1),(41,1),(55,1),(93,1),(107,1),(165,1)}
         5:{3,4,6}:{(0,1),(13,1),(14,1),(16,1),(50,1),(111,1)}
         6:{2,3,5,7}:{(1,1),(4,1),(17,1),(18,1),(21,1),(27,1),(139,1),(188,1),(205,1)}
         7:{1,2,4,7}:{(1,1),(17,1),(19,1),(20,1),(59,1),(190,1)}
         8:{2,3,4,6}:{(1,1),(18,1),(20,1),(21,1),(64,1),(77,1),(123,1),(126,1),(177,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(22,1),(23,1),(26,1),(27,1),(127,1),(178,1),(207,1)}
        10:{1,2,4,7}:{(2,1),(22,1),(24,1),(25,1),(68,1),(181,1)}
        11:{1,3,4,6}:{(2,1),(23,1),(25,1),(26,1),(73,1),(77,1),(134,1),(137,1),(186,1)}
        12:{1,2,4,5,7}:{(3,1),(4,1),(17,1),(22,1),(27,1),(28,1),(59,1),(66,1),(68,1),(75,1),(80,1),(119,1),(122,1),(130,1),(133,1),(141,1),(142,1),(174,1),(183,1),(205,1),(207,1)}
        13:{1,4,6}:{(3,1),(5,1),(23,1),(30,1)}
        14:{2,4,6}:{(4,1),(5,1),(18,1),(32,1)}
        15:{3,4,6,7}:{(5,1),(29,1),(31,1),(33,1),(78,1),(87,1),(124,1),(135,1),(142,1),(143,1),(145,1)}
        16:{3,5,6}:{(5,1),(30,1),(32,1),(33,1),(34,1)}
        17:{1,2,5,7}:{(6,1),(7,1),(35,1),(36,1),(40,1),(168,1),(202,1)}
        18:{2,3,6}:{(6,1),(14,1),(36,1),(50,1),(208,1)}
        19:{1,3,7}:{(7,1),(39,1),(151,1),(203,1)}
        20:{1,2,4,6}:{(7,1),(8,1),(36,1),(39,1),(40,1),(88,1),(95,1)}
        21:{2,3,5}:{(8,1),(40,1),(41,1),(96,1),(109,1),(194,1)}
        22:{1,2,5,7}:{(9,1),(10,1),(42,1),(43,1),(47,1),(157,1),(196,1)}
        23:{1,3,6}:{(9,1),(13,1),(43,1),(50,1),(209,1)}
        24:{2,3,7}:{(10,1),(46,1),(162,1),(197,1)}
        25:{1,2,4,6}:{(10,1),(11,1),(43,1),(46,1),(47,1),(98,1),(105,1)}
        26:{1,3,5}:{(11,1),(47,1),(48,1),(106,1),(109,1),(200,1)}
        27:{3,5,7}:{(12,1),(49,1),(50,1),(96,1),(106,1),(109,1),(151,1),(162,1)}
        28:{1,2,4,6}:{(12,1),(13,1),(14,1),(36,1),(43,1),(50,1),(52,1),(88,1),(98,1),(111,1),(192,1),(198,1),(208,1),(209,1)}
        29:{1,4,6,7}:{(13,1),(15,1),(44,1),(53,1),(103,1),(154,1),(172,1)}
        30:{1,5,6}:{(13,1),(16,1),(53,1)}
        31:{2,4,6,7}:{(14,1),(15,1),(37,1),(55,1),(93,1),(165,1),(171,1)}
        32:{2,5,6}:{(14,1),(16,1),(55,1)}
        33:{3,5,7}:{(15,1),(16,1),(53,1),(55,1),(58,1)}
        34:{4,5,6}:{(16,1),(58,1),(111,1)}
        35:{1,3,5,7}:{(17,1),(19,1),(27,1),(59,1),(60,1),(65,1),(119,1),(138,1),(187,1),(207,1)}
        36:{1,2,6}:{(17,1),(18,1),(60,1)}
        37:{2,3,6,7}:{(18,1),(31,1),(61,1),(63,1),(78,1),(145,1),(188,1)}
        38:{2,3,5,6}:{(18,1),(21,1),(32,1),(62,1),(63,1),(64,1),(79,1),(86,1),(123,1)}
        39:{1,3,6}:{(19,1),(20,1),(65,1),(123,1)}
        40:{1,2,5}:{(20,1),(21,1),(65,1),(119,1)}
        41:{2,4,5}:{(21,1),(64,1),(67,1),(141,1)}
        42:{2,3,5,7}:{(22,1),(24,1),(27,1),(68,1),(69,1),(74,1),(128,1),(130,1),(179,1),(205,1)}
        43:{1,2,6}:{(22,1),(23,1),(69,1)}
        44:{1,3,6,7}:{(23,1),(29,1),(70,1),(72,1),(78,1),(143,1),(178,1)}
        45:{1,3,5,6}:{(23,1),(26,1),(30,1),(71,1),(72,1),(73,1),(79,1),(83,1),(134,1)}
        46:{2,3,6}:{(24,1),(25,1),(74,1),(134,1)}
        47:{1,2,5}:{(25,1),(26,1),(74,1),(130,1)}
        48:{1,4,5}:{(26,1),(73,1),(76,1),(141,1)}
        49:{3,4,7}:{(27,1),(59,1),(68,1),(77,1),(126,1),(137,1),(142,1)}
        50:{3,6}:{(27,1),(28,1)}
        51:{1,2,4,6,7}:{(28,1),(29,1),(31,1),(61,1),(70,1),(78,1),(80,1),(118,1),(122,1),(129,1),(133,1),(142,1)}
        52:{1,2,5,6}:{(28,1),(30,1),(32,1),(79,1),(80,1),(119,1),(130,1),(173,1),(182,1)}
        53:{1,5,7}:{(29,1),(30,1),(33,1)}
        54:{1,4,5,6}:{(30,1),(34,1),(73,1),(82,1),(83,1)}
        55:{2,5,7}:{(31,1),(32,1),(33,1)}
        56:{2,4,5,6}:{(32,1),(34,1),(64,1),(85,1),(86,1)}
        57:{3,5,6,7}:{(33,1),(81,1),(84,1),(87,1),(143,1),(145,1)}
        58:{4,5,7}:{(33,1),(34,1),(87,1),(142,1)}
        59:{1,4,7}:{(35,1),(49,1),(88,1),(95,1),(166,1)}
        60:{1,3,6}:{(35,1),(36,1),(50,1),(88,1),(209,1)}
        61:{1,2,6,7}:{(36,1),(37,1),(89,1),(91,1),(172,1),(202,1),(208,1)}
        62:{1,2,5,6}:{(36,1),(38,1),(40,1),(90,1),(91,1),(92,1),(117,1),(194,1),(208,1)}
        63:{2,3,5,7}:{(37,1),(38,1),(55,1),(91,1),(93,1),(110,1),(116,1),(151,1)}
        64:{2,4,6}:{(38,1),(41,1),(93,1),(94,1),(111,1)}
        65:{1,3,5}:{(39,1),(40,1),(95,1),(96,1)}
        66:{1,2,4,5}:{(40,1),(41,1),(92,1),(95,1),(96,1),(97,1),(148,1),(156,1),(157,1),(194,1)}
        67:{3,4,5}:{(41,1),(94,1),(96,1),(97,1)}
        68:{2,4,7}:{(42,1),(49,1),(98,1),(105,1),(156,1)}
        69:{2,3,6}:{(42,1),(43,1),(50,1),(98,1),(208,1)}
        70:{1,2,6,7}:{(43,1),(44,1),(99,1),(101,1),(171,1),(196,1),(209,1)}
        71:{1,2,5,6}:{(43,1),(45,1),(47,1),(100,1),(101,1),(102,1),(114,1),(200,1),(209,1)}
        72:{1,3,5,7}:{(44,1),(45,1),(53,1),(101,1),(103,1),(110,1),(113,1),(162,1)}
        73:{1,4,6}:{(45,1),(48,1),(103,1),(104,1),(111,1)}
        74:{2,3,5}:{(46,1),(47,1),(105,1),(106,1)}
        75:{1,2,4,5}:{(47,1),(48,1),(102,1),(105,1),(106,1),(107,1),(159,1),(166,1),(168,1),(200,1)}
        76:{3,4,5}:{(48,1),(104,1),(106,1),(107,1)}
        77:{3,4,6}:{(49,1),(50,1),(88,1),(98,1),(109,1),(111,1)}
        78:{3,6,7}:{(50,1),(51,1),(110,1),(151,1),(162,1)}
        79:{3,5,6}:{(50,1),(52,1),(109,1),(110,1),(111,1)}
        80:{1,2,5,7}:{(51,1),(52,1),(53,1),(55,1),(110,1),(147,1),(158,1)}
        81:{1,5,6,7}:{(53,1),(57,1),(112,1),(172,1)}
        82:{1,4,5,7}:{(53,1),(54,1),(58,1),(103,1),(112,1),(113,1)}
        83:{3,5,6}:{(54,1),(104,1),(113,1),(114,1)}
        84:{2,5,6,7}:{(55,1),(57,1),(115,1),(171,1)}
        85:{2,4,5,7}:{(55,1),(56,1),(58,1),(93,1),(115,1),(116,1)}
        86:{3,5,6}:{(56,1),(94,1),(116,1),(117,1)}
        87:{4,6,7}:{(57,1),(58,1)}
        88:{1,4,6}:{(59,1),(60,1),(77,1),(119,1)}
        89:{1,3,6,7}:{(60,1),(61,1),(78,1),(118,1),(120,1),(187,1),(204,1)}
        90:{1,3,5,6}:{(60,1),(62,1),(65,1),(79,1),(119,1),(120,1),(121,1),(123,1),(173,1),(175,1),(204,1)}
        91:{1,2,5,7}:{(61,1),(62,1),(63,1),(120,1),(122,1),(146,1),(205,1)}
        92:{1,2,4,6}:{(62,1),(64,1),(66,1),(121,1),(122,1),(123,1),(125,1),(177,1),(180,1)}
        93:{2,4,7}:{(63,1),(64,1),(124,1),(142,1)}
        94:{3,4,6}:{(64,1),(67,1),(86,1),(123,1),(124,1),(125,1)}
        95:{1,4}:{(65,1),(126,1)}
        96:{3,5}:{(66,1),(123,1),(126,1)}
        97:{1,4,5}:{(67,1),(125,1),(127,1)}
        98:{2,4,6}:{(68,1),(69,1),(77,1),(130,1)}
        99:{2,3,6,7}:{(69,1),(70,1),(78,1),(129,1),(131,1),(179,1),(206,1)}
       100:{2,3,5,6}:{(69,1),(71,1),(74,1),(79,1),(130,1),(131,1),(132,1),(134,1),(182,1),(184,1),(206,1)}
       101:{1,2,5,7}:{(70,1),(71,1),(72,1),(131,1),(133,1),(144,1),(207,1)}
       102:{1,2,4,6}:{(71,1),(73,1),(75,1),(132,1),(133,1),(134,1),(136,1),(186,1),(189,1)}
       103:{1,4,7}:{(72,1),(73,1),(135,1),(142,1)}
       104:{3,4,6}:{(73,1),(76,1),(83,1),(134,1),(135,1),(136,1)}
       105:{2,4}:{(74,1),(137,1)}
       106:{3,5}:{(75,1),(134,1),(137,1)}
       107:{2,4,5}:{(76,1),(136,1),(139,1)}
       108:{3,4,6,7}:{(77,1),(78,1),(118,1),(129,1),(140,1),(142,1),(176,1),(185,1),(191,1),(204,1),(206,1)}
       109:{3,5}:{(77,1),(119,1),(130,1),(141,1)}
       110:{3,5,7}:{(78,1),(79,1),(80,1),(142,1)}
       111:{4,6}:{(79,1),(141,1),(142,1)}
       112:{1,4,6,7}:{(81,1),(82,1),(87,1),(143,1)}
       113:{3,5,7}:{(82,1),(83,1),(135,1),(143,1),(144,1)}
       114:{2,5,6}:{(83,1),(136,1),(144,1)}
       115:{2,4,6,7}:{(84,1),(85,1),(87,1),(145,1)}
       116:{3,5,7}:{(85,1),(86,1),(124,1),(145,1),(146,1)}
       117:{1,5,6}:{(86,1),(125,1),(146,1)}
       118:{1,4,6,7}:{(88,1),(89,1),(108,1),(147,1),(149,1),(192,1),(201,1),(209,1)}
       119:{1,5}:{(88,1),(109,1)}
       120:{1,3,5,7}:{(89,1),(90,1),(91,1),(110,1),(147,1),(149,1),(151,1),(193,1)}
       121:{1,4,6}:{(90,1),(95,1),(111,1),(148,1),(149,1),(150,1)}
       122:{1,2,4,7}:{(91,1),(92,1),(93,1),(149,1),(151,1),(154,1),(195,1),(196,1)}
       123:{3,6}:{(92,1),(96,1),(151,1)}
       124:{3,4,7}:{(93,1),(94,1),(116,1),(151,1),(154,1)}
       125:{1,4,6}:{(94,1),(97,1),(117,1),(152,1),(154,1)}
       126:{3,4}:{(95,1),(96,1),(156,1)}
       127:{1,3,5}:{(96,1),(97,1),(152,1),(155,1),(157,1)}
       128:{2,3,5}:{(96,1),(153,1),(156,1),(157,1),(194,1),(197,1)}
       129:{2,4,6,7}:{(98,1),(99,1),(108,1),(158,1),(160,1),(195,1),(198,1),(208,1)}
       130:{2,5}:{(98,1),(109,1)}
       131:{2,3,5,7}:{(99,1),(100,1),(101,1),(110,1),(158,1),(160,1),(162,1),(199,1)}
       132:{2,4,6}:{(100,1),(105,1),(111,1),(159,1),(160,1),(161,1)}
       133:{1,2,4,7}:{(101,1),(102,1),(103,1),(160,1),(162,1),(165,1),(201,1),(202,1)}
       134:{3,6}:{(102,1),(106,1),(162,1)}
       135:{3,4,7}:{(103,1),(104,1),(113,1),(162,1),(165,1)}
       136:{2,4,6}:{(104,1),(107,1),(114,1),(164,1),(165,1)}
       137:{3,4}:{(105,1),(106,1),(166,1)}
       138:{1,3,5}:{(106,1),(163,1),(166,1),(168,1),(200,1),(203,1)}
       139:{2,3,5}:{(106,1),(107,1),(164,1),(167,1),(168,1)}
       140:{3,5,7}:{(108,1),(109,1),(147,1),(158,1),(169,1),(170,1)}
       141:{4,5}:{(109,1),(111,1)}
       142:{4,7}:{(110,1),(111,1)}
       143:{3,6,7}:{(112,1),(113,1),(171,1)}
       144:{2,5,7}:{(113,1),(114,1),(165,1),(171,1)}
       145:{3,6,7}:{(115,1),(116,1),(172,1)}
       146:{1,5,7}:{(116,1),(117,1),(154,1),(172,1)}
       147:{1,5,7}:{(118,1),(119,1),(140,1),(173,1)}
       148:{1,4,5}:{(119,1),(121,1),(141,1),(175,1)}
       149:{1,4,7}:{(120,1),(121,1),(142,1),(176,1)}
       150:{3,4,6}:{(121,1),(123,1),(126,1),(175,1),(176,1),(177,1),(204,1)}
       151:{3,7}:{(122,1),(123,1)}
       152:{1,3,6}:{(123,1),(125,1),(127,1),(178,1),(180,1)}
       153:{2,3,6}:{(123,1),(128,1),(177,1),(179,1),(180,1)}
       154:{1,4,7}:{(124,1),(125,1),(146,1),(178,1)}
       155:{1,3,4}:{(126,1),(127,1),(181,1)}
       156:{2,4}:{(126,1),(128,1)}
       157:{1,2,5}:{(127,1),(128,1),(180,1),(181,1)}
       158:{2,5,7}:{(129,1),(130,1),(140,1),(182,1)}
       159:{2,4,5}:{(130,1),(132,1),(141,1),(184,1)}
       160:{2,4,7}:{(131,1),(132,1),(142,1),(185,1)}
       161:{3,4,6}:{(132,1),(134,1),(137,1),(184,1),(185,1),(186,1),(206,1)}
       162:{3,7}:{(133,1),(134,1)}
       163:{1,3,6}:{(134,1),(138,1),(186,1),(187,1),(189,1)}
       164:{2,3,6}:{(134,1),(136,1),(139,1),(188,1),(189,1)}
       165:{2,4,7}:{(135,1),(136,1),(144,1),(188,1)}
       166:{1,4}:{(137,1),(138,1)}
       167:{2,3,4}:{(137,1),(139,1),(190,1)}
       168:{1,2,5}:{(138,1),(139,1),(189,1),(190,1)}
       169:{3,5,6}:{(140,1),(173,1),(182,1),(191,1),(204,1),(206,1)}
       170:{4,5,7}:{(140,1),(141,1),(142,1),(191,1)}
       171:{2,6,7}:{(143,1),(144,1)}
       172:{1,6,7}:{(145,1),(146,1)}
       173:{1,5,6}:{(147,1),(169,1),(192,1),(209,1)}
       174:{1,4,5,7}:{(147,1),(148,1),(149,1),(170,1),(192,1),(193,1)}
       175:{3,5}:{(148,1),(150,1),(194,1)}
       176:{3,4,7}:{(149,1),(150,1),(151,1),(193,1),(195,1)}
       177:{2,4,6}:{(150,1),(153,1),(156,1),(194,1),(195,1),(208,1)}
       178:{1,3,7}:{(151,1),(152,1),(154,1),(196,1)}
       179:{2,3,7}:{(151,1),(153,1),(195,1),(196,1)}
       180:{1,2,6}:{(152,1),(153,1),(157,1),(196,1)}
       181:{1,2,4}:{(155,1),(156,1),(157,1),(197,1)}
       182:{2,5,6}:{(158,1),(169,1),(198,1),(208,1)}
       183:{2,4,5,7}:{(158,1),(159,1),(160,1),(170,1),(198,1),(199,1)}
       184:{3,5}:{(159,1),(161,1),(200,1)}
       185:{3,4,7}:{(160,1),(161,1),(162,1),(199,1),(201,1)}
       186:{1,4,6}:{(161,1),(163,1),(166,1),(200,1),(201,1),(209,1)}
       187:{1,3,7}:{(162,1),(163,1),(201,1),(202,1)}
       188:{2,3,7}:{(162,1),(164,1),(165,1),(202,1)}
       189:{1,2,6}:{(163,1),(164,1),(168,1),(202,1)}
       190:{1,2,4}:{(166,1),(167,1),(168,1),(203,1)}
       191:{4,6}:{(169,1),(170,1)}
       192:{1,4,6}:{(173,1),(174,1),(191,1),(204,1)}
       193:{3,5,7}:{(174,1),(175,1),(176,1),(204,1),(205,1)}
       194:{2,5}:{(175,1),(177,1)}
       195:{2,4,7}:{(176,1),(177,1),(179,1),(205,1)}
       196:{1,2,7}:{(178,1),(179,1),(180,1)}
       197:{2,3}:{(181,1)}
       198:{2,4,6}:{(182,1),(183,1),(191,1),(206,1)}
       199:{3,5,7}:{(183,1),(184,1),(185,1),(206,1),(207,1)}
       200:{1,5}:{(184,1),(186,1)}
       201:{1,4,7}:{(185,1),(186,1),(187,1),(207,1)}
       202:{1,2,7}:{(187,1),(188,1),(189,1)}
       203:{1,3}:{(190,1)}
       204:{3,6}:{(192,1),(193,1),(208,1)}
       205:{2,5,7}:{(193,1),(194,1),(195,1),(208,1)}
       206:{3,6}:{(198,1),(199,1),(209,1)}
       207:{1,5,7}:{(199,1),(200,1),(201,1),(209,1)}
       208:{2,6}:{(204,1),(205,1)}
       209:{1,6}:{(206,1),(207,1)}

 734 :  0:{3,4,5}:{(4,1),(5,1),(6,1),(30,1),(70,1)}
        1:{2,3,4}:{(7,1),(8,1),(44,1)}
        2:{1,3,4}:{(9,1),(10,1),(44,1)}
        3:{4,5,6}:{(11,1),(12,1),(61,1),(83,1)}
        4:{3,4,6}:{(0,1),(11,1),(13,1),(14,1),(15,1),(42,1),(61,1)}
        5:{1,4,5}:{(0,1),(9,1),(13,1)}
        6:{2,4,5}:{(0,1),(7,1),(14,1)}
        7:{2,3,5}:{(1,1),(6,1),(17,1),(18,1),(30,1)}
        8:{1,2,4}:{(1,1),(18,1),(19,1),(47,1)}
        9:{1,3,5}:{(2,1),(5,1),(20,1),(21,1),(30,1)}
       10:{1,2,4}:{(2,1),(21,1),(22,1),(50,1)}
       11:{3,5,6}:{(3,1),(4,1),(23,1),(24,1),(25,1)}
       12:{4,5,7}:{(3,1),(25,1),(26,1),(71,1),(82,1)}
       13:{1,4,6}:{(4,1),(5,1),(20,1),(23,1),(28,1)}
       14:{2,4,6}:{(4,1),(6,1),(17,1),(24,1),(29,1)}
       15:{3,4,7}:{(4,1),(25,1),(28,1),(29,1),(56,1),(71,1)}
       16:{1,2,4,5}:{(5,1),(6,1),(18,1),(21,1),(27,1),(30,1),(47,1),(50,1),(66,1),(68,1),(70,1)}
       17:{2,3,6}:{(7,1),(14,1),(31,1),(32,1),(42,1)}
       18:{1,2,5}:{(7,1),(8,1),(31,1),(33,1)}
       19:{1,3}:{(8,1)}
       20:{1,3,6}:{(9,1),(13,1),(34,1),(35,1),(42,1)}
       21:{1,2,5}:{(9,1),(10,1),(34,1),(36,1)}
       22:{2,3}:{(10,1)}
       23:{1,5,6}:{(11,1),(13,1),(38,1)}
       24:{2,5,6}:{(11,1),(14,1),(39,1)}
       25:{3,5,7}:{(11,1),(12,1),(15,1),(38,1),(39,1),(40,1)}
       26:{4,6,7}:{(12,1),(40,1),(41,1)}
       27:{1,2,4,6}:{(13,1),(14,1),(16,1),(31,1),(34,1),(37,1),(42,1),(43,1),(57,1),(59,1),(61,1)}
       28:{1,4,7}:{(13,1),(15,1),(35,1),(38,1)}
       29:{2,4,7}:{(14,1),(15,1),(32,1),(39,1)}
       30:{3,5}:{(16,1),(42,1),(44,1)}
       31:{1,2,6}:{(17,1),(18,1),(45,1),(46,1)}
       32:{2,3,7}:{(17,1),(29,1),(46,1),(56,1)}
       33:{1,3,5}:{(18,1),(19,1),(30,1),(45,1),(47,1),(66,1)}
       34:{1,2,6}:{(20,1),(21,1),(48,1),(49,1)}
       35:{1,3,7}:{(20,1),(28,1),(49,1),(56,1)}
       36:{2,3,5}:{(21,1),(22,1),(30,1),(48,1),(50,1),(68,1)}
       37:{1,2,5,6}:{(23,1),(24,1),(27,1),(51,1),(52,1),(66,1),(68,1),(79,1),(80,1)}
       38:{1,5,7}:{(23,1),(25,1),(28,1),(53,1)}
       39:{2,5,7}:{(24,1),(25,1),(29,1),(54,1)}
       40:{3,6,7}:{(25,1),(26,1),(53,1),(54,1)}
       41:{5,6,7}:{(26,1),(82,1)}
       42:{3,6}:{(27,1),(30,1),(56,1)}
       43:{1,2,4,7}:{(27,1),(28,1),(29,1),(46,1),(49,1),(52,1),(56,1),(67,1),(69,1),(71,1)}
       44:{3,4}:{(30,1),(47,1),(50,1)}
       45:{1,3,6}:{(31,1),(33,1),(42,1),(57,1),(58,1)}
       46:{1,2,7}:{(31,1),(32,1),(58,1)}
       47:{1,4}:{(33,1),(44,1)}
       48:{2,3,6}:{(34,1),(36,1),(42,1),(59,1),(60,1)}
       49:{1,2,7}:{(34,1),(35,1),(60,1)}
       50:{2,4}:{(36,1),(44,1)}
       51:{3,5,6}:{(37,1),(42,1),(61,1),(62,1),(64,1),(78,1),(83,1)}
       52:{1,2,5,7}:{(37,1),(38,1),(39,1),(43,1),(62,1),(63,1),(74,1),(75,1)}
       53:{1,6,7}:{(38,1),(40,1)}
       54:{2,6,7}:{(39,1),(40,1)}
       55:{3,4,6}:{(42,1),(44,1),(57,1),(59,1),(61,1),(64,1),(65,1),(78,1)}
       56:{3,7}:{(42,1),(43,1)}
       57:{1,4,6}:{(45,1),(47,1),(55,1),(66,1),(67,1),(79,1)}
       58:{1,3,7}:{(45,1),(46,1),(56,1),(67,1)}
       59:{2,4,6}:{(48,1),(50,1),(55,1),(68,1),(69,1),(80,1)}
       60:{2,3,7}:{(48,1),(49,1),(56,1),(69,1)}
       61:{4,6}:{(51,1),(70,1),(71,1)}
       62:{3,5,7}:{(51,1),(52,1),(56,1),(71,1),(72,1),(82,1)}
       63:{1,2,6,7}:{(52,1),(53,1),(54,1),(72,1),(79,1),(80,1)}
       64:{3,5}:{(55,1),(66,1),(68,1),(70,1)}
       65:{3,4,7}:{(55,1),(56,1),(67,1),(69,1),(71,1),(73,1)}
       66:{1,5}:{(57,1),(64,1)}
       67:{1,4,7}:{(57,1),(58,1),(65,1),(74,1)}
       68:{2,5}:{(59,1),(64,1)}
       69:{2,4,7}:{(59,1),(60,1),(65,1),(75,1)}
       70:{4,5}:{(61,1),(64,1)}
       71:{4,7}:{(61,1),(62,1)}
       72:{3,6,7}:{(62,1),(63,1),(77,1),(78,1)}
       73:{3,5,7}:{(64,1),(65,1),(74,1),(75,1),(76,1),(78,1)}
       74:{1,5,7}:{(66,1),(67,1),(73,1),(79,1)}
       75:{2,5,7}:{(68,1),(69,1),(73,1),(80,1)}
       76:{4,5,7}:{(70,1),(71,1),(73,1),(81,1),(82,1)}
       77:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       78:{3,6}:{(73,1),(79,1),(80,1),(81,1)}
       79:{1,6}:{(74,1),(78,1)}
       80:{2,6}:{(75,1),(78,1)}
       81:{4,6}:{(76,1),(78,1),(83,1)}
       82:{5,7}:{(77,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 735 :   0:{1,2,3,5}:{(2,1),(4,1),(6,1),(7,1),(24,1),(27,1),(29,1),(32,1)}
         1:{3,4,5}:{(8,1),(9,1),(10,1),(29,1),(66,1)}
         2:{1,2,3}:{(11,1)}
         3:{2,3,4}:{(11,1),(12,1),(15,1)}
         4:{1,2,3}:{(13,1)}
         5:{1,3,4}:{(13,1),(14,1),(15,1)}
         6:{1,2,4}:{(0,1),(15,1)}
         7:{1,2,3,6}:{(0,1),(17,1),(18,1),(41,1),(44,1),(47,1)}
         8:{2,4,5}:{(1,1),(12,1),(19,1)}
         9:{1,4,5}:{(1,1),(14,1),(20,1)}
        10:{3,4,6}:{(1,1),(19,1),(20,1),(21,1),(22,1),(47,1),(79,1)}
        11:{1,2,4}:{(2,1),(3,1),(23,1),(24,1)}
        12:{2,3,5}:{(3,1),(8,1),(24,1),(25,1),(29,1)}
        13:{1,2,4}:{(4,1),(5,1),(26,1),(27,1)}
        14:{1,3,5}:{(5,1),(9,1),(27,1),(28,1),(29,1)}
        15:{3,4}:{(6,1),(29,1)}
        16:{1,2,4,5}:{(6,1),(8,1),(9,1),(24,1),(27,1),(29,1),(31,1),(32,1),(57,1),(60,1),(66,1)}
        17:{1,2,4,6}:{(6,1),(7,1),(30,1),(32,1),(33,1),(69,1)}
        18:{1,2,3,7}:{(7,1),(33,1),(59,1),(62,1),(65,1)}
        19:{2,4,6}:{(8,1),(10,1),(25,1),(34,1),(35,1)}
        20:{1,4,6}:{(9,1),(10,1),(28,1),(36,1),(37,1)}
        21:{3,5,6}:{(10,1),(34,1),(36,1),(38,1),(39,1)}
        22:{3,4,7}:{(10,1),(35,1),(37,1),(39,1),(65,1),(91,1)}
        23:{1,3,4}:{(11,1),(15,1),(40,1)}
        24:{1,2,5}:{(11,1),(12,1),(40,1),(41,1)}
        25:{2,3,6}:{(12,1),(19,1),(41,1),(42,1),(47,1)}
        26:{2,3,4}:{(13,1),(15,1),(43,1)}
        27:{1,2,5}:{(13,1),(14,1),(43,1),(44,1)}
        28:{1,3,6}:{(14,1),(20,1),(44,1),(45,1),(47,1)}
        29:{3,5}:{(15,1),(16,1),(47,1)}
        30:{3,4,6}:{(15,1),(17,1),(47,1),(48,1),(49,1),(79,1),(82,1)}
        31:{1,2,4,6}:{(16,1),(19,1),(20,1),(41,1),(44,1),(47,1),(50,1),(51,1),(73,1),(75,1),(79,1)}
        32:{1,2,5}:{(17,1),(48,1)}
        33:{1,2,4,7}:{(17,1),(18,1),(49,1),(52,1)}
        34:{2,5,6}:{(19,1),(21,1),(53,1)}
        35:{2,4,7}:{(19,1),(22,1),(42,1),(53,1)}
        36:{1,5,6}:{(20,1),(21,1),(54,1)}
        37:{1,4,7}:{(20,1),(22,1),(45,1),(54,1)}
        38:{4,5,6}:{(21,1),(55,1),(79,1),(99,1)}
        39:{3,5,7}:{(21,1),(22,1),(53,1),(54,1),(55,1),(56,1)}
        40:{1,3,5}:{(23,1),(24,1),(29,1),(57,1),(58,1)}
        41:{1,2,6}:{(24,1),(25,1),(58,1),(59,1)}
        42:{2,3,7}:{(25,1),(35,1),(59,1),(65,1)}
        43:{2,3,5}:{(26,1),(27,1),(29,1),(60,1),(61,1)}
        44:{1,2,6}:{(27,1),(28,1),(61,1),(62,1)}
        45:{1,3,7}:{(28,1),(37,1),(62,1),(65,1)}
        46:{3,4,5}:{(29,1),(57,1),(60,1),(63,1),(66,1)}
        47:{3,6}:{(29,1),(31,1),(65,1)}
        48:{3,5}:{(30,1),(32,1),(66,1)}
        49:{3,4,7}:{(30,1),(33,1),(65,1),(67,1),(91,1)}
        50:{1,2,5,6}:{(31,1),(32,1),(34,1),(36,1),(64,1),(68,1),(69,1),(85,1),(87,1)}
        51:{1,2,4,7}:{(31,1),(35,1),(37,1),(59,1),(62,1),(65,1),(68,1),(86,1),(88,1),(91,1)}
        52:{1,2,5,7}:{(32,1),(33,1),(67,1),(69,1)}
        53:{2,5,7}:{(34,1),(35,1),(39,1),(70,1)}
        54:{1,5,7}:{(36,1),(37,1),(39,1),(71,1)}
        55:{4,5,7}:{(38,1),(39,1),(72,1),(91,1),(103,1)}
        56:{3,6,7}:{(39,1),(70,1),(71,1),(72,1)}
        57:{1,4,5}:{(40,1),(46,1),(73,1)}
        58:{1,3,6}:{(40,1),(41,1),(47,1),(73,1),(74,1)}
        59:{1,2,7}:{(41,1),(42,1),(74,1)}
        60:{2,4,5}:{(43,1),(46,1),(75,1)}
        61:{2,3,6}:{(43,1),(44,1),(47,1),(75,1),(76,1)}
        62:{1,2,7}:{(44,1),(45,1),(76,1)}
        63:{3,4,6}:{(46,1),(47,1),(73,1),(75,1),(77,1),(78,1),(79,1)}
        64:{3,5,6}:{(47,1),(48,1),(50,1),(79,1),(80,1),(82,1),(99,1)}
        65:{3,7}:{(47,1),(51,1)}
        66:{4,5}:{(48,1),(79,1)}
        67:{3,5,7}:{(48,1),(49,1),(52,1),(81,1),(82,1)}
        68:{1,2,5,7}:{(50,1),(51,1),(53,1),(54,1),(80,1),(83,1),(94,1),(95,1)}
        69:{1,2,6}:{(52,1),(82,1)}
        70:{2,6,7}:{(53,1),(56,1)}
        71:{1,6,7}:{(54,1),(56,1)}
        72:{4,6,7}:{(55,1),(56,1),(84,1)}
        73:{1,4,6}:{(57,1),(58,1),(63,1),(85,1),(86,1)}
        74:{1,3,7}:{(58,1),(59,1),(65,1),(86,1)}
        75:{2,4,6}:{(60,1),(61,1),(63,1),(87,1),(88,1)}
        76:{2,3,7}:{(61,1),(62,1),(65,1),(88,1)}
        77:{3,5,6}:{(63,1),(85,1),(87,1),(89,1),(90,1)}
        78:{3,4,7}:{(63,1),(65,1),(86,1),(88,1),(90,1),(91,1)}
        79:{4,6}:{(64,1),(66,1),(91,1)}
        80:{3,5,7}:{(64,1),(65,1),(68,1),(91,1),(92,1),(103,1)}
        81:{4,5,7}:{(66,1),(67,1),(91,1),(93,1),(103,1)}
        82:{3,6}:{(67,1),(69,1),(93,1)}
        83:{1,2,6,7}:{(68,1),(69,1),(70,1),(71,1),(92,1),(100,1),(101,1)}
        84:{5,6,7}:{(72,1),(103,1)}
        85:{1,5,6}:{(73,1),(77,1),(94,1)}
        86:{1,4,7}:{(73,1),(74,1),(78,1),(94,1)}
        87:{2,5,6}:{(75,1),(77,1),(95,1)}
        88:{2,4,7}:{(75,1),(76,1),(78,1),(95,1)}
        89:{4,5,6}:{(77,1),(79,1),(96,1),(99,1)}
        90:{3,5,7}:{(77,1),(78,1),(94,1),(95,1),(96,1),(97,1)}
        91:{4,7}:{(79,1),(80,1)}
        92:{3,6,7}:{(80,1),(82,1),(83,1),(98,1)}
        93:{4,6}:{(81,1),(82,1),(99,1)}
        94:{1,5,7}:{(85,1),(86,1),(90,1),(100,1)}
        95:{2,5,7}:{(87,1),(88,1),(90,1),(101,1)}
        96:{4,5,7}:{(89,1),(90,1),(91,1),(102,1),(103,1)}
        97:{3,6,7}:{(90,1),(100,1),(101,1),(102,1)}
        98:{4,6,7}:{(91,1),(92,1),(93,1),(103,1)}
        99:{5,6}:{(93,1),(103,1)}
       100:{1,6,7}:{(94,1),(97,1)}
       101:{2,6,7}:{(95,1),(97,1)}
       102:{4,6,7}:{(96,1),(97,1),(104,1)}
       103:{5,7}:{(98,1),(99,1)}
       104:{5,6,7}:{(102,1),(103,1)}

 736 :   0:{1,3,5,6}:{(2,1),(3,1),(4,1),(18,1),(22,1),(50,1),(55,1),(56,1),(94,1),(96,1),(125,1),(150,1)}
         1:{2,3,5,6}:{(2,1),(5,1),(6,1),(20,1),(22,1),(51,1),(58,1),(59,1),(95,1),(96,1),(126,1),(150,1)}
         2:{1,2,5,6}:{(0,1),(1,1),(9,1),(10,1),(33,1),(36,1),(72,1),(77,1),(79,1),(112,1),(139,1)}
         3:{1,4,6}:{(0,1),(7,1),(11,1),(12,1),(69,1),(115,1),(159,1)}
         4:{1,3,5,7}:{(0,1),(10,1),(12,1),(13,1),(34,1),(41,1),(45,1),(84,1)}
         5:{2,4,6}:{(1,1),(8,1),(14,1),(15,1),(70,1),(115,1),(159,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(15,1),(16,1),(37,1),(41,1),(48,1),(84,1)}
         7:{1,4,5}:{(3,1),(18,1),(125,1),(127,1)}
         8:{2,4,5}:{(5,1),(20,1),(126,1),(127,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(5,1),(17,1),(22,1),(23,1),(25,1),(28,1),(60,1),(89,1)}
        10:{1,2,5,7}:{(2,1),(4,1),(6,1),(23,1),(24,1),(54,1),(57,1)}
        11:{3,4,6}:{(3,1),(18,1),(22,1),(25,1),(26,1),(49,1),(55,1)}
        12:{1,4,7}:{(3,1),(4,1),(26,1),(104,1)}
        13:{1,3,6,7}:{(4,1),(24,1),(27,1),(55,1),(63,1),(94,1),(157,1)}
        14:{3,4,6}:{(5,1),(20,1),(22,1),(28,1),(29,1),(49,1),(58,1)}
        15:{2,4,7}:{(5,1),(6,1),(29,1),(104,1)}
        16:{2,3,6,7}:{(6,1),(24,1),(30,1),(58,1),(63,1),(95,1),(158,1)}
        17:{1,2,4,5}:{(7,1),(8,1),(9,1),(31,1),(33,1),(36,1),(69,1),(70,1),(72,1),(139,1),(159,1)}
        18:{3,5}:{(7,1),(11,1),(33,1)}
        19:{1,4,5,7}:{(7,1),(12,1),(34,1),(35,1),(45,1),(86,1)}
        20:{3,5}:{(8,1),(14,1),(36,1)}
        21:{2,4,5,7}:{(8,1),(15,1),(37,1),(38,1),(48,1),(88,1)}
        22:{3,6}:{(9,1),(31,1),(41,1),(107,1)}
        23:{1,2,4,7}:{(9,1),(10,1),(12,1),(15,1),(41,1),(43,1),(46,1),(81,1)}
        24:{1,2,6,7}:{(10,1),(13,1),(16,1),(77,1),(79,1),(112,1),(165,1)}
        25:{2,4,6}:{(11,1),(33,1),(40,1),(43,1),(70,1),(77,1)}
        26:{3,4,7}:{(11,1),(12,1),(34,1),(41,1),(43,1)}
        27:{1,4,6,7}:{(12,1),(13,1),(35,1),(44,1),(45,1),(109,1),(145,1),(149,1)}
        28:{1,4,6}:{(14,1),(36,1),(39,1),(46,1),(69,1),(79,1)}
        29:{3,4,7}:{(14,1),(15,1),(37,1),(41,1),(46,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(38,1),(47,1),(48,1),(110,1),(146,1),(148,1)}
        31:{3,5}:{(17,1),(22,1),(49,1)}
        32:{1,2,4,5,7}:{(17,1),(19,1),(21,1),(23,1),(52,1),(53,1),(54,1),(57,1),(64,1),(90,1),(91,1),(93,1),(104,1),(105,1),(106,1),(125,1),(126,1),(127,1),(133,1),(136,1),(137,1),(151,1)}
        33:{2,5}:{(18,1),(25,1)}
        34:{3,5,7}:{(18,1),(19,1),(26,1),(54,1),(55,1)}
        35:{1,4,6}:{(19,1),(55,1),(56,1),(98,1)}
        36:{1,5}:{(20,1),(28,1)}
        37:{3,5,7}:{(20,1),(21,1),(29,1),(57,1),(58,1)}
        38:{2,4,6}:{(21,1),(58,1),(59,1),(100,1)}
        39:{1,3,6}:{(22,1),(28,1),(50,1),(60,1),(61,1)}
        40:{2,3,6}:{(22,1),(25,1),(51,1),(60,1),(62,1)}
        41:{3,7}:{(22,1),(23,1)}
        42:{1,2,4,6,7}:{(23,1),(24,1),(27,1),(30,1),(53,1),(63,1),(64,1),(65,1),(67,1),(101,1),(104,1),(124,1),(133,1)}
        43:{2,4,7}:{(25,1),(26,1),(54,1),(62,1)}
        44:{3,4,6,7}:{(26,1),(27,1),(55,1),(63,1),(65,1),(66,1),(92,1),(98,1),(104,1),(131,1),(135,1)}
        45:{1,5,7}:{(27,1),(56,1),(66,1),(125,1)}
        46:{1,4,7}:{(28,1),(29,1),(57,1),(61,1)}
        47:{3,4,6,7}:{(29,1),(30,1),(58,1),(63,1),(67,1),(68,1),(92,1),(100,1),(104,1),(132,1),(134,1)}
        48:{2,5,7}:{(30,1),(59,1),(68,1),(126,1)}
        49:{3,4}:{(31,1),(69,1),(70,1),(107,1),(159,1)}
        50:{1,3,5}:{(31,1),(36,1),(39,1),(69,1),(72,1),(107,1)}
        51:{2,3,5}:{(31,1),(33,1),(40,1),(70,1),(72,1),(107,1)}
        52:{3,5,7}:{(31,1),(32,1),(41,1),(71,1),(75,1),(111,1),(147,1),(160,1)}
        53:{1,2,4,6}:{(32,1),(35,1),(38,1),(75,1),(76,1),(77,1),(79,1),(109,1),(110,1),(112,1),(115,1),(116,1),(117,1),(145,1),(146,1)}
        54:{2,5,7}:{(33,1),(34,1),(43,1),(77,1)}
        55:{3,6}:{(34,1),(35,1),(77,1)}
        56:{1,5,6}:{(35,1),(45,1),(78,1),(145,1)}
        57:{1,5,7}:{(36,1),(37,1),(46,1),(79,1)}
        58:{3,6}:{(37,1),(38,1),(79,1)}
        59:{2,5,6}:{(38,1),(48,1),(80,1),(146,1)}
        60:{1,2,6}:{(39,1),(40,1),(72,1),(81,1)}
        61:{1,3,7}:{(39,1),(41,1),(46,1),(81,1)}
        62:{2,3,7}:{(40,1),(41,1),(43,1),(81,1)}
        63:{3,6,7}:{(41,1),(42,1),(75,1),(84,1),(138,1),(147,1)}
        64:{1,2,5,7}:{(42,1),(45,1),(48,1),(76,1),(84,1),(85,1),(87,1),(139,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(77,1),(83,1),(85,1),(110,1),(116,1),(120,1)}
        66:{3,5,7}:{(44,1),(45,1),(78,1),(85,1),(86,1),(111,1)}
        67:{1,4,6,7}:{(46,1),(47,1),(79,1),(82,1),(87,1),(109,1),(117,1),(119,1)}
        68:{3,5,7}:{(47,1),(48,1),(80,1),(87,1),(88,1),(111,1)}
        69:{1,4}:{(49,1),(50,1)}
        70:{2,4}:{(49,1),(51,1)}
        71:{3,4,7}:{(49,1),(52,1),(90,1),(91,1),(92,1),(104,1),(123,1),(166,1)}
        72:{1,2,5}:{(50,1),(51,1),(60,1),(89,1)}
        73:{1,3,5,7}:{(50,1),(52,1),(57,1),(61,1),(90,1),(93,1),(94,1),(123,1),(125,1),(136,1),(150,1),(157,1),(167,1)}
        74:{2,3,5,7}:{(51,1),(52,1),(54,1),(62,1),(91,1),(93,1),(95,1),(123,1),(126,1),(137,1),(150,1),(158,1),(168,1)}
        75:{3,6}:{(52,1),(53,1)}
        76:{1,2,5,6}:{(53,1),(56,1),(59,1),(64,1),(96,1),(97,1),(99,1),(125,1),(126,1)}
        77:{2,6}:{(54,1),(55,1)}
        78:{3,5,6}:{(55,1),(56,1),(66,1),(97,1),(98,1),(131,1)}
        79:{1,6}:{(57,1),(58,1)}
        80:{3,5,6}:{(58,1),(59,1),(68,1),(99,1),(100,1),(132,1)}
        81:{1,2,7}:{(60,1),(61,1),(62,1)}
        82:{1,3,6,7}:{(61,1),(63,1),(67,1),(94,1),(101,1),(102,1),(132,1)}
        83:{2,3,6,7}:{(62,1),(63,1),(65,1),(95,1),(101,1),(103,1),(131,1)}
        84:{3,5,7}:{(63,1),(64,1),(96,1),(104,1),(150,1)}
        85:{2,5,7}:{(65,1),(66,1),(97,1),(126,1)}
        86:{4,5,7}:{(66,1),(98,1),(104,1),(127,1)}
        87:{1,5,7}:{(67,1),(68,1),(99,1),(125,1)}
        88:{4,5,7}:{(68,1),(100,1),(104,1),(127,1)}
        89:{1,2,4}:{(69,1),(70,1),(72,1),(107,1)}
        90:{1,4,7}:{(69,1),(71,1),(73,1),(109,1),(159,1),(170,1)}
        91:{2,4,7}:{(70,1),(71,1),(74,1),(110,1),(159,1),(171,1)}
        92:{3,4,6}:{(71,1),(75,1),(109,1),(110,1),(111,1),(115,1),(138,1),(159,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(81,1),(108,1),(112,1),(139,1),(165,1),(172,1)}
        94:{1,3,6}:{(73,1),(75,1),(79,1),(109,1),(112,1),(138,1),(145,1)}
        95:{2,3,6}:{(74,1),(75,1),(77,1),(110,1),(112,1),(138,1),(146,1)}
        96:{3,5,6}:{(75,1),(76,1),(84,1),(111,1),(115,1)}
        97:{2,5,6}:{(77,1),(78,1),(85,1),(116,1)}
        98:{4,6}:{(78,1),(86,1)}
        99:{1,5,6}:{(79,1),(80,1),(87,1),(117,1)}
       100:{4,6}:{(80,1),(88,1)}
       101:{1,2,6,7}:{(81,1),(82,1),(83,1),(112,1),(118,1),(145,1),(146,1)}
       102:{1,3,5,7}:{(82,1),(84,1),(87,1),(113,1),(118,1),(119,1),(122,1),(147,1)}
       103:{2,3,5,7}:{(83,1),(84,1),(85,1),(114,1),(118,1),(120,1),(121,1),(147,1)}
       104:{4,7}:{(84,1),(115,1),(159,1)}
       105:{2,4,5,7}:{(85,1),(86,1),(116,1),(120,1),(121,1),(141,1)}
       106:{1,4,5,7}:{(87,1),(88,1),(117,1),(119,1),(122,1),(140,1)}
       107:{3}:{(89,1)}
       108:{1,2,4,7}:{(89,1),(90,1),(91,1),(93,1),(123,1),(124,1),(173,1)}
       109:{1,4,6}:{(90,1),(92,1),(94,1),(125,1)}
       110:{2,4,6}:{(91,1),(92,1),(95,1),(126,1)}
       111:{3,5}:{(92,1),(125,1),(126,1),(127,1)}
       112:{1,2,6}:{(93,1),(94,1),(95,1)}
       113:{1,3,5,6}:{(94,1),(96,1),(99,1),(102,1),(125,1),(128,1),(129,1),(132,1),(150,1),(152,1),(154,1),(167,1)}
       114:{2,3,5,6}:{(95,1),(96,1),(97,1),(103,1),(126,1),(128,1),(130,1),(131,1),(150,1),(153,1),(154,1),(168,1)}
       115:{4,6}:{(96,1),(104,1),(127,1)}
       116:{2,4,6}:{(97,1),(98,1),(105,1),(131,1)}
       117:{1,4,6}:{(99,1),(100,1),(106,1),(132,1)}
       118:{1,2,5,7}:{(101,1),(102,1),(103,1),(128,1),(133,1),(136,1),(137,1)}
       119:{1,4,7}:{(102,1),(104,1),(129,1),(134,1)}
       120:{2,4,7}:{(103,1),(104,1),(130,1),(135,1)}
       121:{3,5,7}:{(105,1),(131,1),(135,1),(136,1),(153,1)}
       122:{3,5,7}:{(106,1),(132,1),(134,1),(137,1),(152,1)}
       123:{3,7}:{(107,1),(108,1),(138,1),(174,1)}
       124:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(138,1),(139,1),(159,1)}
       125:{1,5}:{(109,1),(111,1)}
       126:{2,5}:{(110,1),(111,1)}
       127:{4,5}:{(111,1),(115,1),(159,1)}
       128:{1,2,5,6}:{(112,1),(113,1),(114,1),(118,1),(139,1),(142,1),(145,1),(146,1),(161,1),(162,1),(172,1)}
       129:{1,4,6}:{(113,1),(115,1),(119,1),(140,1),(143,1),(159,1),(170,1)}
       130:{2,4,6}:{(114,1),(115,1),(120,1),(141,1),(144,1),(159,1),(171,1)}
       131:{3,6}:{(116,1),(121,1),(145,1)}
       132:{3,6}:{(117,1),(122,1),(146,1)}
       133:{1,2,4,7}:{(118,1),(119,1),(120,1),(142,1),(147,1),(148,1),(149,1),(165,1)}
       134:{3,4,7}:{(119,1),(122,1),(143,1),(147,1),(148,1)}
       135:{3,4,7}:{(120,1),(121,1),(144,1),(147,1),(149,1)}
       136:{1,5,7}:{(121,1),(145,1),(149,1),(162,1)}
       137:{2,5,7}:{(122,1),(146,1),(148,1),(161,1)}
       138:{3,6}:{(123,1),(124,1),(150,1)}
       139:{1,2,5}:{(124,1),(125,1),(126,1),(150,1)}
       140:{1,4,5}:{(125,1),(127,1),(129,1),(152,1)}
       141:{2,4,5}:{(126,1),(127,1),(130,1),(153,1)}
       142:{1,2,4,6}:{(128,1),(129,1),(130,1),(133,1),(151,1),(154,1),(155,1),(156,1),(169,1),(173,1)}
       143:{3,4,6}:{(129,1),(132,1),(134,1),(152,1),(154,1),(155,1),(166,1)}
       144:{3,4,6}:{(130,1),(131,1),(135,1),(153,1),(154,1),(156,1),(166,1)}
       145:{1,6}:{(131,1),(136,1)}
       146:{2,6}:{(132,1),(137,1)}
       147:{3,7}:{(133,1),(154,1)}
       148:{2,4,7}:{(134,1),(137,1),(155,1),(158,1)}
       149:{1,4,7}:{(135,1),(136,1),(156,1),(157,1)}
       150:{3,5}:{(138,1),(139,1),(159,1)}
       151:{1,2,4,5}:{(139,1),(140,1),(141,1),(142,1),(159,1),(160,1),(161,1),(162,1),(170,1),(171,1),(172,1)}
       152:{3,5}:{(140,1),(143,1),(161,1)}
       153:{3,5}:{(141,1),(144,1),(162,1)}
       154:{3,6}:{(142,1),(147,1),(160,1),(174,1)}
       155:{2,4,6}:{(143,1),(146,1),(148,1),(161,1),(164,1),(171,1)}
       156:{1,4,6}:{(144,1),(145,1),(149,1),(162,1),(163,1),(170,1)}
       157:{1,3,7}:{(147,1),(149,1),(163,1),(165,1)}
       158:{2,3,7}:{(147,1),(148,1),(164,1),(165,1)}
       159:{4}:{(150,1)}
       160:{3,5}:{(151,1),(154,1),(166,1)}
       161:{2,5}:{(152,1),(155,1)}
       162:{1,5}:{(153,1),(156,1)}
       163:{1,3,6}:{(154,1),(156,1),(157,1),(167,1),(169,1)}
       164:{2,3,6}:{(154,1),(155,1),(158,1),(168,1),(169,1)}
       165:{1,2,7}:{(157,1),(158,1),(169,1)}
       166:{3,4}:{(159,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(160,1),(162,1),(163,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(160,1),(161,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(163,1),(164,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

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

 738 :   0:{1,2,5,6,7}:{(1,1),(2,1),(30,1),(31,1),(59,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(17,1),(75,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(19,1),(24,1),(74,1)}
         3:{1,2,4,5,6}:{(5,1),(7,1),(16,1),(25,1),(26,1),(27,1),(42,1),(43,1),(50,1),(74,1),(97,1),(103,1),(104,1)}
         4:{4,6,7}:{(1,1),(8,1),(88,1)}
         5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(10,1),(30,1),(31,1),(35,1),(36,1),(37,1)}
         6:{3,6,7}:{(2,1),(10,1),(87,1)}
         7:{3,5,6}:{(3,1),(10,1),(13,1),(66,1),(87,1),(102,1)}
         8:{4,5,7}:{(4,1),(16,1),(17,1),(79,1),(97,1)}
         9:{3,4,6,7}:{(4,1),(6,1),(17,1),(18,1),(19,1),(21,1),(41,1),(47,1),(79,1),(96,1)}
        10:{3,5,7}:{(5,1),(6,1),(7,1),(21,1)}
        11:{1,3,6,7}:{(6,1),(18,1),(22,1),(24,1),(47,1),(72,1),(95,1)}
        12:{2,3,6,7}:{(6,1),(19,1),(23,1),(24,1),(47,1),(73,1),(94,1)}
        13:{3,4,6}:{(7,1),(20,1),(21,1),(25,1),(26,1),(56,1),(82,1)}
        14:{1,3,5,6}:{(7,1),(22,1),(25,1),(27,1),(42,1),(48,1),(56,1),(72,1),(75,1),(81,1),(95,1),(104,1)}
        15:{2,3,5,6}:{(7,1),(23,1),(26,1),(27,1),(43,1),(49,1),(56,1),(73,1),(75,1),(80,1),(94,1),(103,1)}
        16:{4,5,6}:{(8,1),(28,1),(88,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(30,1),(31,1),(102,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(30,1),(35,1),(57,1),(101,1)}
        19:{2,4,6,7}:{(9,1),(12,1),(31,1),(36,1),(58,1),(100,1)}
        20:{3,4,5}:{(13,1),(33,1),(34,1),(66,1),(102,1)}
        21:{3,4,7}:{(10,1),(13,1),(35,1),(36,1),(69,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(30,1),(35,1),(37,1),(63,1),(69,1)}
        23:{2,3,5,7}:{(10,1),(12,1),(15,1),(31,1),(36,1),(37,1),(63,1),(69,1)}
        24:{1,2,6,7}:{(11,1),(12,1),(37,1),(85,1),(86,1)}
        25:{1,4,6}:{(13,1),(14,1),(33,1),(35,1),(88,1),(93,1)}
        26:{2,4,6}:{(13,1),(15,1),(34,1),(36,1),(88,1),(92,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(37,1),(40,1),(64,1),(65,1),(85,1),(86,1)}
        28:{3,5,6}:{(16,1),(17,1),(41,1),(42,1),(43,1)}
        29:{3,4,5,7}:{(17,1),(20,1),(21,1),(41,1),(44,1),(45,1),(78,1),(79,1),(97,1)}
        30:{1,5,7}:{(17,1),(18,1),(42,1),(104,1)}
        31:{2,5,7}:{(17,1),(19,1),(43,1),(103,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(24,1),(46,1),(47,1),(53,1),(74,1),(79,1)}
        33:{1,4,5}:{(20,1),(25,1),(48,1),(97,1),(104,1)}
        34:{2,4,5}:{(20,1),(26,1),(49,1),(97,1),(103,1)}
        35:{1,4,7}:{(21,1),(22,1),(25,1),(79,1)}
        36:{2,4,7}:{(21,1),(23,1),(26,1),(79,1)}
        37:{1,2,5,7}:{(22,1),(23,1),(24,1),(27,1),(53,1)}
        38:{1,3,4,6}:{(25,1),(48,1),(51,1),(54,1),(56,1),(72,1),(82,1),(96,1)}
        39:{2,3,4,6}:{(26,1),(49,1),(52,1),(55,1),(56,1),(73,1),(82,1),(96,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(50,1),(53,1),(56,1)}
        41:{3,4,6}:{(28,1),(29,1),(57,1),(58,1),(87,1),(88,1)}
        42:{1,5,6}:{(28,1),(30,1),(57,1)}
        43:{2,5,6}:{(28,1),(31,1),(58,1)}
        44:{1,4,5,7}:{(29,1),(30,1),(33,1),(35,1),(57,1),(60,1)}
        45:{2,4,5,7}:{(29,1),(31,1),(34,1),(36,1),(58,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(32,1),(59,1),(63,1)}
        47:{3,6,7}:{(32,1),(63,1),(69,1),(87,1)}
        48:{1,3,5}:{(33,1),(38,1),(64,1),(66,1),(102,1)}
        49:{2,3,5}:{(34,1),(39,1),(65,1),(66,1),(102,1)}
        50:{1,2,4,5}:{(33,1),(34,1),(40,1),(64,1),(65,1),(66,1),(92,1),(93,1)}
        51:{1,3,4,7}:{(35,1),(38,1),(60,1),(67,1),(69,1),(91,1)}
        52:{2,3,4,7}:{(36,1),(39,1),(61,1),(68,1),(69,1),(91,1)}
        53:{1,2,4,7}:{(35,1),(36,1),(37,1),(40,1),(69,1)}
        54:{1,2,4,6}:{(38,1),(64,1),(67,1),(70,1),(85,1),(92,1),(100,1)}
        55:{1,2,4,6}:{(39,1),(65,1),(68,1),(71,1),(86,1),(93,1),(101,1)}
        56:{3,6}:{(40,1),(66,1),(69,1)}
        57:{1,4,6}:{(41,1),(42,1),(44,1),(72,1)}
        58:{2,4,6}:{(41,1),(43,1),(45,1),(73,1)}
        59:{1,2,5,6}:{(42,1),(43,1),(46,1),(74,1),(75,1),(103,1),(104,1)}
        60:{1,3,5,7}:{(44,1),(48,1),(51,1),(72,1),(76,1),(78,1)}
        61:{2,3,5,7}:{(45,1),(49,1),(52,1),(73,1),(77,1),(78,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(53,1),(74,1),(76,1),(77,1),(78,1),(79,1),(97,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5,7}:{(46,1),(47,1),(75,1),(79,1)}
        64:{1,2,5}:{(48,1),(54,1),(80,1),(103,1)}
        65:{1,2,5}:{(49,1),(55,1),(81,1),(104,1)}
        66:{3,5}:{(50,1),(56,1),(82,1)}
        67:{1,2,4,7}:{(51,1),(54,1),(76,1),(83,1),(98,1)}
        68:{1,2,4,7}:{(52,1),(55,1),(77,1),(84,1),(99,1)}
        69:{3,7}:{(53,1),(56,1)}
        70:{2,3,6}:{(54,1),(56,1),(80,1),(83,1)}
        71:{1,3,6}:{(55,1),(56,1),(81,1),(84,1)}
        72:{1,3,6}:{(57,1),(60,1),(85,1),(87,1)}
        73:{2,3,6}:{(58,1),(61,1),(86,1),(87,1)}
        74:{1,2,4,6}:{(57,1),(58,1),(59,1),(62,1),(85,1),(86,1),(87,1),(88,1),(100,1),(101,1)}
        75:{3,5,6}:{(59,1),(63,1),(87,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(60,1),(64,1),(67,1),(85,1),(89,1)}
        77:{1,2,5,7}:{(61,1),(65,1),(68,1),(86,1),(90,1)}
        78:{3,5,7}:{(62,1),(66,1),(69,1),(87,1),(91,1),(102,1)}
        79:{4,7}:{(63,1),(88,1)}
        80:{2,3,5}:{(64,1),(66,1),(70,1),(92,1)}
        81:{1,3,5}:{(65,1),(66,1),(71,1),(93,1)}
        82:{3,4}:{(66,1),(92,1),(93,1)}
        83:{2,3,7}:{(67,1),(69,1),(70,1)}
        84:{1,3,7}:{(68,1),(69,1),(71,1)}
        85:{1,2,6}:{(72,1),(76,1),(94,1)}
        86:{1,2,6}:{(73,1),(77,1),(95,1)}
        87:{3,6}:{(74,1),(78,1)}
        88:{4,6}:{(75,1),(79,1),(97,1)}
        89:{2,3,5,7}:{(76,1),(78,1),(80,1),(83,1),(94,1),(98,1),(103,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(81,1),(84,1),(95,1),(99,1),(104,1)}
        91:{3,4,7}:{(78,1),(79,1),(82,1),(96,1),(98,1),(99,1)}
        92:{2,4}:{(80,1),(82,1)}
        93:{1,4}:{(81,1),(82,1)}
        94:{2,3,6}:{(85,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(86,1),(87,1),(90,1),(101,1)}
        96:{3,4,6}:{(87,1),(88,1),(91,1),(100,1),(101,1),(102,1)}
        97:{4,5}:{(88,1),(102,1)}
        98:{2,4,7}:{(89,1),(91,1),(92,1),(100,1)}
        99:{1,4,7}:{(90,1),(91,1),(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(96,1),(98,1),(103,1)}
       101:{1,4,6}:{(95,1),(96,1),(99,1),(104,1)}
       102:{3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{1,5}:{(101,1),(102,1)}

 739 :   0:{1,2,4,5,6}:{(1,1),(2,1),(9,1),(10,1),(12,1),(36,1),(75,1),(76,1),(77,1),(78,1),(102,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(55,1),(88,1),(100,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(24,1),(26,1),(62,1),(63,1),(64,1)}
         3:{3,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(40,1),(73,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(12,1),(13,1),(33,1),(40,1),(65,1),(71,1),(76,1),(92,1),(96,1),(102,1)}
         5:{2,3,5,6}:{(1,1),(10,1),(12,1),(14,1),(30,1),(40,1),(67,1),(69,1),(77,1),(94,1),(96,1),(103,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(15,1)}
         7:{1,2,4,6,7}:{(2,1),(15,1),(16,1),(42,1),(43,1),(45,1),(46,1),(75,1)}
         8:{3,4,5}:{(3,1),(19,1),(20,1),(55,1),(100,1)}
         9:{1,4,6}:{(3,1),(4,1),(19,1),(23,1),(81,1),(101,1)}
        10:{2,4,6}:{(3,1),(5,1),(20,1),(24,1),(84,1),(101,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(24,1),(60,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(22,1),(26,1),(47,1),(51,1),(83,1),(86,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(23,1),(26,1),(27,1),(60,1),(62,1),(90,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(24,1),(26,1),(28,1),(60,1),(63,1),(90,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,2,5,6,7}:{(7,1),(29,1),(62,1),(63,1),(89,1)}
        17:{2,3,4,6}:{(10,1),(30,1),(31,1),(32,1),(40,1),(67,1),(73,1),(95,1)}
        18:{1,3,4,6}:{(9,1),(33,1),(34,1),(35,1),(40,1),(71,1),(73,1),(95,1)}
        19:{1,4,5}:{(8,1),(9,1),(33,1),(102,1),(104,1)}
        20:{2,4,5}:{(8,1),(10,1),(30,1),(103,1),(104,1)}
        21:{3,4,5,7}:{(8,1),(11,1),(37,1),(38,1),(39,1),(44,1),(74,1),(97,1),(104,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(12,1),(36,1),(40,1),(41,1)}
        23:{1,4,7}:{(9,1),(11,1),(13,1),(97,1)}
        24:{2,4,7}:{(10,1),(11,1),(14,1),(97,1)}
        25:{3,4,6,7}:{(11,1),(15,1),(39,1),(42,1),(43,1),(44,1),(46,1),(79,1),(95,1),(97,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(14,1),(41,1),(45,1)}
        27:{1,3,6,7}:{(13,1),(15,1),(42,1),(45,1),(71,1),(79,1),(92,1)}
        28:{2,3,6,7}:{(14,1),(15,1),(43,1),(45,1),(67,1),(79,1),(94,1)}
        29:{3,5,6,7}:{(15,1),(16,1),(44,1),(46,1),(96,1)}
        30:{2,3,5}:{(17,1),(20,1),(47,1),(55,1),(100,1)}
        31:{1,2,4,6}:{(17,1),(47,1),(49,1),(50,1),(81,1),(83,1),(98,1)}
        32:{2,3,4,7}:{(17,1),(24,1),(48,1),(50,1),(60,1),(87,1)}
        33:{1,3,5}:{(18,1),(19,1),(51,1),(55,1),(100,1)}
        34:{1,2,4,6}:{(18,1),(51,1),(53,1),(54,1),(84,1),(86,1),(99,1)}
        35:{1,3,4,7}:{(18,1),(23,1),(52,1),(54,1),(60,1),(87,1)}
        36:{1,2,4,5}:{(19,1),(20,1),(22,1),(47,1),(51,1),(55,1),(81,1),(84,1)}
        37:{1,4,5,7}:{(19,1),(21,1),(23,1),(52,1),(57,1),(62,1)}
        38:{2,4,5,7}:{(20,1),(21,1),(24,1),(48,1),(58,1),(63,1)}
        39:{3,4,6}:{(21,1),(57,1),(58,1),(59,1),(88,1),(101,1)}
        40:{3,6}:{(22,1),(55,1),(60,1)}
        41:{1,2,4,7}:{(22,1),(23,1),(24,1),(26,1),(60,1)}
        42:{1,4,6,7}:{(23,1),(25,1),(27,1),(57,1),(62,1),(98,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(28,1),(58,1),(63,1),(99,1)}
        44:{3,5,7}:{(25,1),(59,1),(62,1),(63,1),(64,1),(100,1)}
        45:{1,2,6,7}:{(26,1),(27,1),(28,1),(83,1),(86,1)}
        46:{4,6,7}:{(29,1),(64,1),(101,1)}
        47:{1,2,5}:{(30,1),(31,1),(65,1),(102,1)}
        48:{2,3,5,7}:{(30,1),(32,1),(38,1),(66,1),(67,1),(74,1)}
        49:{1,3,6}:{(31,1),(40,1),(65,1),(68,1)}
        50:{1,2,4,7}:{(31,1),(32,1),(66,1),(68,1),(91,1)}
        51:{1,2,5}:{(33,1),(34,1),(69,1),(103,1)}
        52:{1,3,5,7}:{(33,1),(35,1),(37,1),(70,1),(71,1),(74,1)}
        53:{2,3,6}:{(34,1),(40,1),(69,1),(72,1)}
        54:{1,2,4,7}:{(34,1),(35,1),(70,1),(72,1),(93,1)}
        55:{3,5}:{(36,1),(40,1),(73,1)}
        56:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(41,1),(66,1),(70,1),(74,1),(75,1),(80,1),(91,1),(93,1),(97,1),(102,1),(103,1),(104,1)}
        57:{1,4,6}:{(37,1),(39,1),(71,1),(76,1)}
        58:{2,4,6}:{(38,1),(39,1),(67,1),(77,1)}
        59:{3,5,6}:{(39,1),(44,1),(76,1),(77,1),(78,1)}
        60:{3,7}:{(40,1),(41,1)}
        61:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(45,1),(75,1),(79,1),(80,1),(97,1)}
        62:{1,5,7}:{(42,1),(44,1),(76,1),(102,1)}
        63:{2,5,7}:{(43,1),(44,1),(77,1),(103,1)}
        64:{4,5,7}:{(44,1),(46,1),(78,1),(97,1),(104,1)}
        65:{1,3,5}:{(47,1),(49,1),(55,1),(81,1)}
        66:{1,2,5,7}:{(47,1),(48,1),(50,1),(82,1),(83,1)}
        67:{2,3,6}:{(48,1),(58,1),(83,1),(88,1)}
        68:{1,3,7}:{(49,1),(50,1),(60,1)}
        69:{2,3,5}:{(51,1),(53,1),(55,1),(84,1)}
        70:{1,2,5,7}:{(51,1),(52,1),(54,1),(85,1),(86,1)}
        71:{1,3,6}:{(52,1),(57,1),(86,1),(88,1)}
        72:{2,3,7}:{(53,1),(54,1),(60,1)}
        73:{3,4}:{(55,1),(81,1),(84,1)}
        74:{3,5,7}:{(55,1),(56,1),(60,1),(87,1),(88,1),(100,1)}
        75:{1,2,4,6}:{(56,1),(57,1),(58,1),(83,1),(86,1),(88,1),(89,1),(98,1),(99,1),(101,1)}
        76:{1,5,6}:{(57,1),(59,1),(62,1)}
        77:{2,5,6}:{(58,1),(59,1),(63,1)}
        78:{4,5,6}:{(59,1),(64,1),(101,1)}
        79:{3,6,7}:{(60,1),(61,1),(88,1),(90,1)}
        80:{1,2,5,7}:{(61,1),(62,1),(63,1),(89,1),(90,1)}
        81:{1,4}:{(65,1),(73,1)}
        82:{1,3,5,7}:{(65,1),(66,1),(68,1),(74,1),(91,1),(92,1),(102,1)}
        83:{1,2,6}:{(66,1),(67,1),(92,1)}
        84:{2,4}:{(69,1),(73,1)}
        85:{2,3,5,7}:{(69,1),(70,1),(72,1),(74,1),(93,1),(94,1),(103,1)}
        86:{1,2,6}:{(70,1),(71,1),(94,1)}
        87:{3,4,7}:{(73,1),(74,1),(91,1),(93,1),(95,1),(97,1)}
        88:{3,6}:{(74,1),(75,1)}
        89:{1,2,5,6}:{(75,1),(76,1),(77,1),(80,1),(96,1),(102,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{1,4,7}:{(81,1),(82,1),(87,1),(98,1)}
        92:{1,3,6}:{(82,1),(83,1),(88,1),(98,1)}
        93:{2,4,7}:{(84,1),(85,1),(87,1),(99,1)}
        94:{2,3,6}:{(85,1),(86,1),(88,1),(99,1)}
        95:{3,4,6}:{(87,1),(88,1),(98,1),(99,1),(100,1),(101,1)}
        96:{3,5,6}:{(88,1),(89,1),(90,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{1,4,6}:{(91,1),(92,1),(95,1),(102,1)}
        99:{2,4,6}:{(93,1),(94,1),(95,1),(103,1)}
       100:{3,5}:{(95,1),(102,1),(103,1),(104,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{1,5}:{(98,1),(100,1)}
       103:{2,5}:{(99,1),(100,1)}
       104:{4,5}:{(100,1),(101,1)}

 740 :   0:{3,4,5,6}:{(1,1),(2,1),(3,1),(21,1),(148,1),(159,1),(203,1)}
         1:{3,4,5,7}:{(0,1),(7,1),(8,1),(9,1),(37,1),(127,1)}
         2:{1,4,5,6}:{(0,1),(4,1),(8,1),(167,1),(211,1)}
         3:{2,4,5,6}:{(0,1),(5,1),(9,1),(173,1),(214,1)}
         4:{1,3,5,6}:{(2,1),(11,1),(13,1),(14,1),(21,1),(137,1),(195,1)}
         5:{2,3,5,6}:{(3,1),(12,1),(15,1),(16,1),(21,1),(143,1),(200,1)}
         6:{4,5,6,7}:{(17,1),(98,1),(225,1)}
         7:{3,4,6,7}:{(1,1),(17,1),(18,1),(19,1),(53,1),(98,1),(203,1)}
         8:{1,4,5,7}:{(1,1),(2,1),(13,1),(18,1)}
         9:{2,4,5,7}:{(1,1),(3,1),(15,1),(19,1)}
        10:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(16,1),(20,1),(21,1),(48,1),(51,1),(91,1),(153,1),(155,1),(157,1),(159,1)}
        11:{1,3,4,6}:{(4,1),(22,1),(24,1),(25,1),(38,1)}
        12:{2,3,4,6}:{(5,1),(23,1),(26,1),(27,1),(38,1)}
        13:{1,3,5,7}:{(4,1),(8,1),(24,1),(28,1),(29,1),(37,1)}
        14:{1,2,5,6}:{(4,1),(25,1),(29,1),(30,1),(108,1),(170,1)}
        15:{2,3,5,7}:{(5,1),(9,1),(26,1),(31,1),(32,1),(37,1)}
        16:{1,2,5,6}:{(5,1),(27,1),(32,1),(33,1),(113,1),(176,1)}
        17:{3,5,6,7}:{(6,1),(7,1),(34,1),(35,1),(217,1)}
        18:{1,4,6,7}:{(7,1),(8,1),(28,1),(34,1),(211,1)}
        19:{2,4,6,7}:{(7,1),(9,1),(31,1),(35,1),(214,1)}
        20:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(29,1),(32,1),(36,1),(37,1),(67,1),(70,1),(121,1),(124,1),(127,1)}
        21:{3,5,6}:{(10,1),(37,1),(38,1),(117,1),(182,1)}
        22:{1,3,4,5}:{(11,1),(39,1),(55,1),(130,1),(137,1)}
        23:{2,3,4,5}:{(12,1),(40,1),(55,1),(133,1),(143,1)}
        24:{1,3,4,7}:{(11,1),(13,1),(41,1),(54,1)}
        25:{1,2,4,6}:{(11,1),(14,1),(39,1),(41,1),(42,1),(48,1)}
        26:{2,3,4,7}:{(12,1),(15,1),(43,1),(54,1)}
        27:{1,2,4,6}:{(12,1),(16,1),(40,1),(43,1),(44,1),(51,1)}
        28:{1,3,6,7}:{(13,1),(18,1),(46,1),(53,1),(195,1)}
        29:{1,2,5,7}:{(13,1),(14,1),(41,1),(46,1),(47,1)}
        30:{2,3,5,6}:{(14,1),(21,1),(42,1),(47,1),(48,1),(83,1),(140,1),(155,1)}
        31:{2,3,6,7}:{(15,1),(19,1),(49,1),(53,1),(200,1)}
        32:{1,2,5,7}:{(15,1),(16,1),(43,1),(49,1),(50,1)}
        33:{1,3,5,6}:{(16,1),(21,1),(44,1),(50,1),(51,1),(87,1),(146,1),(157,1)}
        34:{1,5,6,7}:{(17,1),(18,1),(221,1)}
        35:{2,5,6,7}:{(17,1),(19,1),(223,1)}
        36:{1,2,4,6,7}:{(18,1),(19,1),(20,1),(46,1),(49,1),(52,1),(53,1),(92,1),(95,1),(98,1),(153,1)}
        37:{3,5,7}:{(20,1),(21,1),(53,1),(54,1)}
        38:{3,4,6}:{(21,1),(48,1),(51,1),(54,1),(55,1)}
        39:{1,2,4,5}:{(22,1),(25,1),(56,1),(68,1),(102,1),(108,1)}
        40:{1,2,4,5}:{(23,1),(27,1),(57,1),(71,1),(104,1),(113,1)}
        41:{1,2,4,7}:{(24,1),(25,1),(29,1),(59,1),(67,1)}
        42:{2,3,6}:{(25,1),(56,1),(59,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(32,1),(62,1),(70,1)}
        44:{1,3,6}:{(27,1),(57,1),(62,1)}
        45:{1,2,3,5,6}:{(30,1),(33,1),(58,1),(61,1),(64,1),(65,1),(108,1),(113,1),(117,1),(169,1),(170,1),(175,1),(176,1),(182,1),(184,1)}
        46:{1,2,6,7}:{(28,1),(29,1),(66,1),(170,1)}
        47:{2,3,5,7}:{(29,1),(30,1),(37,1),(59,1),(66,1),(67,1),(121,1)}
        48:{2,4,6}:{(30,1),(38,1),(67,1),(68,1)}
        49:{1,2,6,7}:{(31,1),(32,1),(69,1),(176,1)}
        50:{1,3,5,7}:{(32,1),(33,1),(37,1),(62,1),(69,1),(70,1),(124,1)}
        51:{1,4,6}:{(33,1),(38,1),(70,1),(71,1)}
        52:{1,2,5,6,7}:{(34,1),(35,1),(36,1),(72,1),(121,1),(124,1),(184,1)}
        53:{3,6,7}:{(36,1),(37,1),(182,1)}
        54:{3,4,7}:{(37,1),(38,1),(67,1),(70,1)}
        55:{3,4,5}:{(38,1),(68,1),(71,1),(117,1)}
        56:{2,3,5}:{(39,1),(42,1),(77,1)}
        57:{1,3,5}:{(40,1),(44,1),(79,1)}
        58:{1,2,3,6}:{(42,1),(76,1),(80,1),(81,1),(189,1)}
        59:{2,3,7}:{(41,1),(42,1)}
        60:{2,3,4,6}:{(42,1),(48,1),(77,1),(81,1),(82,1),(83,1),(88,1),(140,1)}
        61:{1,2,3,6}:{(44,1),(78,1),(84,1),(85,1),(191,1)}
        62:{1,3,7}:{(43,1),(44,1)}
        63:{1,3,4,6}:{(44,1),(51,1),(79,1),(85,1),(86,1),(87,1),(88,1),(146,1)}
        64:{1,2,3,5,7}:{(45,1),(47,1),(50,1),(80,1),(84,1),(89,1),(90,1),(138,1),(144,1),(150,1),(152,1),(196,1),(201,1)}
        65:{1,2,4,6}:{(45,1),(48,1),(51,1),(88,1),(90,1),(91,1),(194,1),(199,1)}
        66:{2,3,6,7}:{(46,1),(47,1),(53,1),(92,1),(140,1)}
        67:{2,4,7}:{(47,1),(48,1),(54,1)}
        68:{2,4,5}:{(48,1),(55,1),(83,1)}
        69:{1,3,6,7}:{(49,1),(50,1),(53,1),(95,1),(146,1)}
        70:{1,4,7}:{(50,1),(51,1),(54,1)}
        71:{1,4,5}:{(51,1),(55,1),(87,1)}
        72:{3,5,6,7}:{(52,1),(53,1),(98,1),(99,1),(206,1)}
        73:{3,4,6,7}:{(53,1),(54,1),(92,1),(95,1),(98,1),(99,1),(100,1)}
        74:{3,4,5,7}:{(54,1),(55,1),(93,1),(96,1),(99,1),(100,1),(150,1),(205,1)}
        75:{3,4,5,6}:{(55,1),(94,1),(97,1),(100,1),(101,1),(151,1),(225,1)}
        76:{1,2,3,5}:{(56,1),(58,1),(102,1),(108,1),(161,1)}
        77:{2,3,4}:{(56,1),(102,1)}
        78:{1,2,3,5}:{(57,1),(61,1),(104,1),(113,1),(164,1)}
        79:{1,3,4}:{(57,1),(104,1)}
        80:{1,2,3,7}:{(58,1),(59,1),(107,1),(209,1)}
        81:{1,2,4,6}:{(58,1),(60,1),(102,1),(106,1),(107,1),(108,1),(170,1)}
        82:{2,3,4,7}:{(59,1),(60,1),(67,1),(107,1),(109,1),(116,1)}
        83:{2,3,5}:{(60,1),(68,1),(108,1),(117,1)}
        84:{1,2,3,7}:{(61,1),(62,1),(112,1),(210,1)}
        85:{1,2,4,6}:{(61,1),(63,1),(104,1),(111,1),(112,1),(113,1),(176,1)}
        86:{1,3,4,7}:{(62,1),(63,1),(70,1),(112,1),(114,1),(116,1)}
        87:{1,3,5}:{(63,1),(71,1),(113,1),(117,1)}
        88:{3,4,6}:{(65,1),(116,1),(117,1),(182,1)}
        89:{1,2,3,6,7}:{(64,1),(66,1),(69,1),(118,1),(170,1),(176,1),(182,1),(213,1),(216,1)}
        90:{1,2,4,7}:{(64,1),(65,1),(67,1),(70,1),(116,1),(212,1),(215,1)}
        91:{1,2,4,5}:{(65,1),(68,1),(71,1),(108,1),(113,1),(117,1),(167,1),(173,1)}
        92:{2,4,6,7}:{(66,1),(67,1),(73,1),(121,1),(122,1)}
        93:{2,4,5,7}:{(67,1),(68,1),(74,1),(109,1),(121,1),(122,1)}
        94:{2,4,5,6}:{(68,1),(75,1),(110,1),(122,1),(123,1)}
        95:{1,4,6,7}:{(69,1),(70,1),(73,1),(124,1),(125,1)}
        96:{1,4,5,7}:{(70,1),(71,1),(74,1),(114,1),(124,1),(125,1)}
        97:{1,4,5,6}:{(71,1),(75,1),(115,1),(125,1),(126,1)}
        98:{4,6,7}:{(72,1),(127,1),(219,1)}
        99:{3,5,7}:{(73,1),(121,1),(124,1),(127,1),(128,1)}
       100:{3,4,6}:{(74,1),(122,1),(125,1),(128,1),(182,1),(219,1)}
       101:{3,4,5,7}:{(75,1),(123,1),(126,1),(129,1),(183,1),(230,1)}
       102:{1,2,4}:{(76,1),(77,1),(130,1)}
       103:{2,3,4,5}:{(77,1),(83,1),(131,1),(132,1),(148,1)}
       104:{1,2,4}:{(78,1),(79,1),(133,1)}
       105:{1,3,4,5}:{(79,1),(87,1),(134,1),(135,1),(148,1)}
       106:{1,3,4,6}:{(81,1),(88,1),(130,1),(136,1),(137,1),(189,1),(194,1),(195,1)}
       107:{1,2,4,7}:{(80,1),(81,1),(82,1),(136,1),(138,1)}
       108:{1,2,5}:{(81,1),(83,1),(137,1)}
       109:{2,3,5,7}:{(82,1),(83,1),(93,1),(138,1),(140,1),(150,1)}
       110:{2,3,5,6}:{(83,1),(94,1),(132,1),(139,1),(140,1),(141,1),(151,1)}
       111:{2,3,4,6}:{(85,1),(88,1),(133,1),(142,1),(143,1),(191,1),(199,1),(200,1)}
       112:{1,2,4,7}:{(84,1),(85,1),(86,1),(142,1),(144,1)}
       113:{1,2,5}:{(85,1),(87,1),(143,1)}
       114:{1,3,5,7}:{(86,1),(87,1),(96,1),(144,1),(146,1),(150,1)}
       115:{1,3,5,6}:{(87,1),(97,1),(135,1),(145,1),(146,1),(147,1),(151,1)}
       116:{3,4,7}:{(88,1),(90,1),(150,1)}
       117:{3,5}:{(88,1),(91,1)}
       118:{1,2,4,6,7}:{(89,1),(90,1),(92,1),(95,1),(149,1),(152,1),(153,1),(222,1),(224,1)}
       119:{1,2,4,5,7}:{(90,1),(91,1),(93,1),(96,1),(138,1),(144,1),(150,1),(152,1),(153,1),(193,1),(198,1),(205,1)}
       120:{1,2,4,5,6}:{(91,1),(94,1),(97,1),(139,1),(145,1),(151,1),(153,1),(154,1),(194,1),(199,1),(221,1),(223,1),(225,1)}
       121:{2,5,7}:{(92,1),(99,1),(155,1)}
       122:{2,4,6}:{(93,1),(100,1),(140,1),(155,1)}
       123:{2,4,5,7}:{(94,1),(101,1),(141,1),(156,1)}
       124:{1,5,7}:{(95,1),(99,1),(157,1)}
       125:{1,4,6}:{(96,1),(100,1),(146,1),(157,1)}
       126:{1,4,5,7}:{(97,1),(101,1),(147,1),(158,1)}
       127:{4,5,7}:{(98,1),(99,1),(159,1)}
       128:{3,5,6}:{(99,1),(100,1),(155,1),(157,1),(159,1)}
       129:{3,4,6,7}:{(100,1),(101,1),(156,1),(158,1),(160,1),(207,1),(227,1)}
       130:{1,3,4}:{(102,1),(161,1)}
       131:{1,2,4,5}:{(102,1),(103,1),(108,1),(161,1),(162,1),(167,1)}
       132:{2,3,4,6}:{(103,1),(110,1),(162,1),(163,1),(180,1)}
       133:{2,3,4}:{(104,1),(164,1)}
       134:{1,2,4,5}:{(104,1),(105,1),(113,1),(164,1),(165,1),(173,1)}
       135:{1,3,4,6}:{(105,1),(115,1),(165,1),(166,1),(180,1)}
       136:{1,3,4,7}:{(106,1),(107,1),(116,1),(168,1),(209,1),(212,1)}
       137:{1,3,5}:{(106,1),(108,1),(117,1),(167,1)}
       138:{1,2,5,7}:{(107,1),(108,1),(109,1),(168,1),(170,1)}
       139:{1,2,5,6}:{(108,1),(110,1),(162,1),(169,1),(170,1),(171,1)}
       140:{2,3,6}:{(109,1),(122,1),(170,1),(182,1)}
       141:{2,3,5,7}:{(110,1),(123,1),(163,1),(171,1),(172,1),(183,1)}
       142:{2,3,4,7}:{(111,1),(112,1),(116,1),(174,1),(210,1),(215,1)}
       143:{2,3,5}:{(111,1),(113,1),(117,1),(173,1)}
       144:{1,2,5,7}:{(112,1),(113,1),(114,1),(174,1),(176,1)}
       145:{1,2,5,6}:{(113,1),(115,1),(165,1),(175,1),(176,1),(177,1)}
       146:{1,3,6}:{(114,1),(125,1),(176,1),(182,1)}
       147:{1,3,5,7}:{(115,1),(126,1),(166,1),(177,1),(178,1),(183,1)}
       148:{3,4,5}:{(117,1),(167,1),(173,1),(180,1)}
       149:{3,4,6,7}:{(116,1),(118,1),(181,1),(182,1),(219,1)}
       150:{3,5,7}:{(116,1),(117,1),(119,1),(182,1)}
       151:{3,5,6}:{(117,1),(120,1),(180,1),(182,1),(183,1)}
       152:{1,2,5,7}:{(118,1),(121,1),(124,1),(181,1),(184,1),(228,1),(229,1)}
       153:{1,2,4,6}:{(119,1),(122,1),(125,1),(170,1),(176,1),(182,1),(184,1),(211,1),(214,1),(219,1)}
       154:{1,2,4,5,7}:{(120,1),(123,1),(126,1),(171,1),(177,1),(183,1),(185,1),(212,1),(215,1),(228,1),(229,1),(230,1)}
       155:{2,5,6}:{(121,1),(122,1),(128,1)}
       156:{2,4,6,7}:{(122,1),(123,1),(129,1),(172,1),(186,1)}
       157:{1,5,6}:{(124,1),(125,1),(128,1)}
       158:{1,4,6,7}:{(125,1),(126,1),(129,1),(178,1),(187,1)}
       159:{4,5,6}:{(127,1),(128,1),(219,1)}
       160:{3,5,6,7}:{(128,1),(129,1),(186,1),(187,1),(188,1)}
       161:{1,3,5}:{(130,1),(131,1),(189,1)}
       162:{1,2,4,6}:{(131,1),(132,1),(139,1),(189,1),(190,1),(194,1)}
       163:{2,3,4,7}:{(132,1),(141,1),(190,1),(204,1)}
       164:{2,3,5}:{(133,1),(134,1),(191,1)}
       165:{1,2,4,6}:{(134,1),(135,1),(145,1),(191,1),(192,1),(199,1)}
       166:{1,3,4,7}:{(135,1),(147,1),(192,1),(204,1)}
       167:{1,4,5}:{(137,1),(148,1),(194,1)}
       168:{1,3,5,7}:{(136,1),(137,1),(138,1),(150,1),(193,1),(195,1)}
       169:{1,3,5,6}:{(137,1),(139,1),(151,1),(189,1),(194,1),(195,1),(196,1),(221,1)}
       170:{1,2,6}:{(138,1),(140,1),(195,1)}
       171:{1,2,5,7}:{(139,1),(141,1),(190,1),(196,1),(197,1)}
       172:{2,3,6,7}:{(140,1),(141,1),(156,1),(197,1),(207,1)}
       173:{2,4,5}:{(143,1),(148,1),(199,1)}
       174:{2,3,5,7}:{(142,1),(143,1),(144,1),(150,1),(198,1),(200,1)}
       175:{2,3,5,6}:{(143,1),(145,1),(151,1),(191,1),(199,1),(200,1),(201,1),(223,1)}
       176:{1,2,6}:{(144,1),(146,1),(200,1)}
       177:{1,2,5,7}:{(145,1),(147,1),(192,1),(201,1),(202,1)}
       178:{1,3,6,7}:{(146,1),(147,1),(158,1),(202,1),(207,1)}
       179:{3,4,5,7}:{(148,1),(150,1),(193,1),(198,1),(203,1),(204,1),(205,1),(226,1)}
       180:{3,4,6}:{(148,1),(151,1),(194,1),(199,1),(204,1)}
       181:{3,5,7}:{(149,1),(152,1),(205,1),(206,1)}
       182:{3,6}:{(150,1),(153,1)}
       183:{3,5,7}:{(151,1),(154,1),(204,1),(207,1)}
       184:{1,2,5,6}:{(152,1),(153,1),(155,1),(157,1),(206,1),(221,1),(223,1)}
       185:{1,2,4,6,7}:{(153,1),(154,1),(156,1),(158,1),(197,1),(202,1),(207,1),(208,1),(222,1),(224,1),(227,1)}
       186:{2,5,6,7}:{(155,1),(156,1),(160,1)}
       187:{1,5,6,7}:{(157,1),(158,1),(160,1)}
       188:{4,5,6,7}:{(159,1),(160,1),(227,1)}
       189:{1,3,6}:{(161,1),(162,1),(209,1)}
       190:{1,2,4,7}:{(162,1),(163,1),(171,1),(209,1),(212,1)}
       191:{2,3,6}:{(164,1),(165,1),(210,1)}
       192:{1,2,4,7}:{(165,1),(166,1),(177,1),(210,1),(215,1)}
       193:{1,4,5,7}:{(167,1),(168,1),(179,1),(211,1),(212,1),(228,1)}
       194:{1,4,6}:{(167,1),(169,1),(180,1),(212,1)}
       195:{1,3,6}:{(168,1),(170,1),(182,1),(211,1)}
       196:{1,3,5,7}:{(169,1),(171,1),(183,1),(209,1),(212,1),(213,1),(228,1)}
       197:{1,2,6,7}:{(170,1),(171,1),(172,1),(213,1)}
       198:{2,4,5,7}:{(173,1),(174,1),(179,1),(214,1),(215,1),(229,1)}
       199:{2,4,6}:{(173,1),(175,1),(180,1),(215,1)}
       200:{2,3,6}:{(174,1),(176,1),(182,1),(214,1)}
       201:{2,3,5,7}:{(175,1),(177,1),(183,1),(210,1),(215,1),(216,1),(229,1)}
       202:{1,2,6,7}:{(176,1),(177,1),(178,1),(216,1)}
       203:{3,4,6}:{(179,1),(182,1),(211,1),(214,1),(217,1),(219,1)}
       204:{3,4,7}:{(180,1),(183,1),(212,1),(215,1)}
       205:{4,5,7}:{(181,1),(219,1)}
       206:{3,5,6}:{(181,1),(182,1),(184,1),(219,1)}
       207:{3,6,7}:{(182,1),(183,1),(185,1)}
       208:{1,2,5,6,7}:{(184,1),(185,1),(186,1),(187,1),(220,1),(228,1),(229,1)}
       209:{1,3,7}:{(189,1),(190,1)}
       210:{2,3,7}:{(191,1),(192,1)}
       211:{1,4,6}:{(193,1),(195,1),(203,1),(221,1)}
       212:{1,4,7}:{(194,1),(196,1),(204,1)}
       213:{1,3,6,7}:{(195,1),(196,1),(197,1),(207,1),(222,1)}
       214:{2,4,6}:{(198,1),(200,1),(203,1),(223,1)}
       215:{2,4,7}:{(199,1),(201,1),(204,1)}
       216:{2,3,6,7}:{(200,1),(201,1),(202,1),(207,1),(224,1)}
       217:{3,5,6}:{(203,1),(221,1),(223,1),(225,1),(226,1)}
       218:{3,4,6,7}:{(203,1),(204,1),(207,1),(222,1),(224,1),(226,1),(227,1)}
       219:{4,6}:{(205,1),(206,1)}
       220:{3,5,6,7}:{(206,1),(207,1),(208,1),(226,1),(227,1)}
       221:{1,5,6}:{(211,1),(217,1),(228,1)}
       222:{1,4,6,7}:{(211,1),(212,1),(213,1),(218,1),(228,1)}
       223:{2,5,6}:{(214,1),(217,1),(229,1)}
       224:{2,4,6,7}:{(214,1),(215,1),(216,1),(218,1),(229,1)}
       225:{4,5,6}:{(217,1),(219,1),(230,1)}
       226:{3,5,7}:{(217,1),(218,1),(228,1),(229,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(226,1)}
       229:{2,5,7}:{(223,1),(224,1),(226,1)}
       230:{4,5,7}:{(225,1),(226,1),(227,1)}

 741 :   0:{4,5,6,7}:{(1,1),(27,1),(206,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(4,1),(219,1)}
         2:{3,4,6,7}:{(1,1),(6,1),(7,1),(8,1),(26,1),(27,1),(204,1)}
         3:{1,5,6,7}:{(1,1),(7,1),(224,1)}
         4:{2,5,6,7}:{(1,1),(8,1),(226,1)}
         5:{3,4,5,6}:{(6,1),(10,1),(11,1),(32,1),(60,1),(166,1),(204,1)}
         6:{3,4,5,7}:{(2,1),(5,1),(12,1),(13,1),(39,1),(43,1)}
         7:{1,4,6,7}:{(2,1),(3,1),(12,1),(14,1),(215,1)}
         8:{2,4,6,7}:{(2,1),(4,1),(13,1),(15,1),(217,1)}
         9:{1,2,5,6,7}:{(3,1),(4,1),(16,1),(17,1),(76,1),(77,1),(128,1)}
        10:{1,4,5,6}:{(5,1),(12,1),(18,1),(186,1),(215,1)}
        11:{2,4,5,6}:{(5,1),(13,1),(19,1),(189,1),(217,1)}
        12:{1,4,5,7}:{(6,1),(7,1),(10,1),(21,1)}
        13:{2,4,5,7}:{(6,1),(8,1),(11,1),(22,1)}
        14:{1,3,6,7}:{(7,1),(21,1),(24,1),(26,1),(199,1)}
        15:{2,3,6,7}:{(8,1),(22,1),(25,1),(26,1),(202,1)}
        16:{1,2,4,6,7}:{(7,1),(8,1),(9,1),(23,1),(24,1),(25,1),(26,1),(27,1),(57,1),(58,1),(154,1)}
        17:{3,5,6,7}:{(9,1),(26,1),(27,1),(59,1),(158,1)}
        18:{1,3,5,6}:{(10,1),(21,1),(28,1),(30,1),(32,1),(160,1),(199,1)}
        19:{2,3,5,6}:{(11,1),(22,1),(29,1),(31,1),(32,1),(163,1),(202,1)}
        20:{1,2,4,5,6}:{(10,1),(11,1),(23,1),(30,1),(31,1),(32,1),(60,1),(64,1),(65,1),(102,1),(103,1),(110,1),(154,1)}
        21:{1,3,5,7}:{(12,1),(14,1),(18,1),(35,1),(37,1),(39,1)}
        22:{2,3,5,7}:{(13,1),(15,1),(19,1),(36,1),(38,1),(39,1)}
        23:{1,2,4,5,7}:{(12,1),(13,1),(16,1),(20,1),(37,1),(38,1),(39,1),(43,1),(72,1),(73,1),(76,1),(77,1)}
        24:{1,2,6,7}:{(14,1),(37,1),(40,1),(176,1)}
        25:{1,2,6,7}:{(15,1),(38,1),(41,1),(179,1)}
        26:{3,6,7}:{(16,1),(39,1),(182,1)}
        27:{4,6,7}:{(17,1),(43,1),(184,1)}
        28:{1,3,4,6}:{(18,1),(33,1),(35,1),(44,1),(48,1)}
        29:{2,3,4,6}:{(19,1),(34,1),(36,1),(45,1),(48,1)}
        30:{1,2,5,6}:{(18,1),(37,1),(44,1),(46,1),(132,1),(176,1)}
        31:{1,2,5,6}:{(19,1),(38,1),(45,1),(47,1),(135,1),(179,1)}
        32:{3,5,6}:{(20,1),(39,1),(48,1),(137,1),(182,1)}
        33:{1,3,4,5}:{(28,1),(49,1),(66,1),(141,1),(160,1)}
        34:{2,3,4,5}:{(29,1),(50,1),(66,1),(144,1),(163,1)}
        35:{1,3,4,7}:{(21,1),(28,1),(51,1),(55,1)}
        36:{2,3,4,7}:{(22,1),(29,1),(52,1),(55,1)}
        37:{1,2,5,7}:{(21,1),(24,1),(30,1),(51,1),(53,1)}
        38:{1,2,5,7}:{(22,1),(25,1),(31,1),(52,1),(54,1)}
        39:{3,5,7}:{(23,1),(26,1),(32,1),(55,1)}
        40:{2,3,6,7}:{(24,1),(26,1),(53,1),(57,1),(149,1)}
        41:{1,3,6,7}:{(25,1),(26,1),(54,1),(58,1),(152,1)}
        42:{3,4,6,7}:{(26,1),(27,1),(55,1),(57,1),(58,1),(59,1),(99,1)}
        43:{4,5,7}:{(27,1),(59,1),(60,1)}
        44:{1,2,4,6}:{(28,1),(30,1),(49,1),(51,1),(61,1),(64,1)}
        45:{1,2,4,6}:{(29,1),(31,1),(50,1),(52,1),(62,1),(65,1)}
        46:{2,3,5,6}:{(30,1),(32,1),(53,1),(61,1),(64,1),(102,1),(106,1),(149,1)}
        47:{1,3,5,6}:{(31,1),(32,1),(54,1),(62,1),(65,1),(103,1),(108,1),(152,1)}
        48:{3,4,6}:{(32,1),(55,1),(64,1),(65,1),(66,1)}
        49:{1,2,4,5}:{(33,1),(44,1),(67,1),(85,1),(114,1),(132,1)}
        50:{1,2,4,5}:{(34,1),(45,1),(68,1),(86,1),(116,1),(135,1)}
        51:{1,2,4,7}:{(35,1),(37,1),(44,1),(69,1),(72,1)}
        52:{1,2,4,7}:{(36,1),(38,1),(45,1),(70,1),(73,1)}
        53:{2,3,5,7}:{(37,1),(39,1),(40,1),(46,1),(69,1),(72,1),(76,1)}
        54:{1,3,5,7}:{(38,1),(39,1),(41,1),(47,1),(70,1),(73,1),(77,1)}
        55:{3,4,7}:{(39,1),(48,1),(72,1),(73,1)}
        56:{1,2,3,6,7}:{(40,1),(41,1),(71,1),(75,1),(176,1),(179,1),(182,1),(216,1),(218,1)}
        57:{2,4,6,7}:{(40,1),(42,1),(72,1),(76,1),(124,1)}
        58:{1,4,6,7}:{(41,1),(42,1),(73,1),(77,1),(125,1)}
        59:{3,5,7}:{(42,1),(43,1),(76,1),(77,1),(78,1)}
        60:{4,5,6}:{(43,1),(78,1),(184,1)}
        61:{2,3,6}:{(44,1),(67,1),(69,1)}
        62:{1,3,6}:{(45,1),(68,1),(70,1)}
        63:{1,2,3,5,6}:{(46,1),(47,1),(71,1),(80,1),(82,1),(84,1),(128,1),(132,1),(135,1),(137,1),(176,1),(179,1),(182,1),(187,1),(190,1)}
        64:{2,4,6}:{(46,1),(48,1),(72,1),(85,1)}
        65:{1,4,6}:{(47,1),(48,1),(73,1),(86,1)}
        66:{3,4,5}:{(48,1),(85,1),(86,1),(137,1)}
        67:{2,3,5}:{(49,1),(61,1),(89,1)}
        68:{1,3,5}:{(50,1),(62,1),(91,1)}
        69:{2,3,7}:{(51,1),(61,1)}
        70:{1,3,7}:{(52,1),(62,1)}
        71:{1,2,3,5,7}:{(53,1),(54,1),(56,1),(63,1),(92,1),(94,1),(96,1),(101,1),(148,1),(151,1),(153,1),(209,1),(211,1)}
        72:{2,4,7}:{(53,1),(55,1),(64,1)}
        73:{1,4,7}:{(54,1),(55,1),(65,1)}
        74:{3,4,5,7}:{(55,1),(59,1),(66,1),(97,1),(98,1),(99,1),(153,1),(157,1)}
        75:{1,2,4,6,7}:{(56,1),(57,1),(58,1),(96,1),(100,1),(101,1),(154,1),(225,1),(227,1)}
        76:{2,5,7}:{(57,1),(59,1),(102,1)}
        77:{1,5,7}:{(58,1),(59,1),(103,1)}
        78:{3,5,6}:{(59,1),(60,1),(99,1),(102,1),(103,1)}
        79:{4,5,6,7}:{(60,1),(104,1),(207,1)}
        80:{1,2,3,6}:{(61,1),(88,1),(92,1),(105,1),(194,1)}
        81:{2,3,4,6}:{(61,1),(64,1),(89,1),(93,1),(105,1),(106,1),(109,1),(149,1)}
        82:{1,2,3,6}:{(62,1),(90,1),(94,1),(107,1),(196,1)}
        83:{1,3,4,6}:{(62,1),(65,1),(91,1),(95,1),(107,1),(108,1),(109,1),(152,1)}
        84:{1,2,4,6}:{(63,1),(64,1),(65,1),(96,1),(109,1),(110,1),(208,1),(210,1)}
        85:{2,4,5}:{(64,1),(66,1),(106,1)}
        86:{1,4,5}:{(65,1),(66,1),(108,1)}
        87:{3,4,5,6}:{(66,1),(99,1),(111,1),(112,1),(113,1),(167,1),(206,1)}
        88:{1,2,3,5}:{(67,1),(80,1),(114,1),(132,1),(169,1)}
        89:{2,3,4}:{(67,1),(114,1)}
        90:{1,2,3,5}:{(68,1),(82,1),(116,1),(135,1),(172,1)}
        91:{1,3,4}:{(68,1),(116,1)}
        92:{1,2,3,7}:{(69,1),(80,1),(118,1),(213,1)}
        93:{2,3,4,7}:{(69,1),(72,1),(81,1),(118,1),(119,1),(122,1)}
        94:{1,2,3,7}:{(70,1),(82,1),(120,1),(214,1)}
        95:{1,3,4,7}:{(70,1),(73,1),(83,1),(120,1),(121,1),(122,1)}
        96:{1,2,4,7}:{(71,1),(72,1),(73,1),(84,1),(122,1),(222,1),(223,1)}
        97:{2,4,5,7}:{(72,1),(74,1),(76,1),(85,1),(119,1),(124,1)}
        98:{1,4,5,7}:{(73,1),(74,1),(77,1),(86,1),(121,1),(125,1)}
        99:{3,4,6}:{(74,1),(78,1),(124,1),(125,1),(182,1),(184,1)}
       100:{3,4,6,7}:{(75,1),(122,1),(127,1),(182,1),(184,1)}
       101:{1,2,5,7}:{(75,1),(76,1),(77,1),(127,1),(128,1),(229,1),(230,1)}
       102:{2,5,6}:{(76,1),(78,1),(124,1)}
       103:{1,5,6}:{(77,1),(78,1),(125,1)}
       104:{3,5,6,7}:{(78,1),(79,1),(126,1),(129,1),(130,1)}
       105:{1,2,4,6}:{(80,1),(81,1),(114,1),(118,1),(131,1),(132,1),(176,1)}
       106:{2,3,5}:{(81,1),(85,1),(132,1),(137,1)}
       107:{1,2,4,6}:{(82,1),(83,1),(116,1),(120,1),(134,1),(135,1),(179,1)}
       108:{1,3,5}:{(83,1),(86,1),(135,1),(137,1)}
       109:{3,4,6}:{(84,1),(122,1),(137,1),(182,1)}
       110:{1,2,4,5}:{(84,1),(85,1),(86,1),(132,1),(135,1),(137,1),(186,1),(189,1)}
       111:{2,4,5,6}:{(85,1),(87,1),(124,1),(133,1),(139,1)}
       112:{1,4,5,6}:{(86,1),(87,1),(125,1),(136,1),(140,1)}
       113:{3,4,5,7}:{(87,1),(126,1),(139,1),(140,1),(193,1),(221,1)}
       114:{1,2,4}:{(88,1),(89,1),(141,1)}
       115:{2,3,4,5}:{(89,1),(106,1),(142,1),(143,1),(166,1)}
       116:{1,2,4}:{(90,1),(91,1),(144,1)}
       117:{1,3,4,5}:{(91,1),(108,1),(145,1),(146,1),(166,1)}
       118:{1,2,4,7}:{(92,1),(93,1),(105,1),(147,1),(148,1)}
       119:{2,3,5,7}:{(93,1),(97,1),(106,1),(148,1),(149,1),(153,1)}
       120:{1,2,4,7}:{(94,1),(95,1),(107,1),(150,1),(151,1)}
       121:{1,3,5,7}:{(95,1),(98,1),(108,1),(151,1),(152,1),(153,1)}
       122:{3,4,7}:{(96,1),(109,1),(153,1)}
       123:{1,2,4,5,7}:{(96,1),(97,1),(98,1),(101,1),(110,1),(148,1),(151,1),(153,1),(154,1),(157,1),(198,1),(201,1)}
       124:{2,4,6}:{(97,1),(99,1),(102,1),(149,1)}
       125:{1,4,6}:{(98,1),(99,1),(103,1),(152,1)}
       126:{3,4,6,7}:{(99,1),(104,1),(113,1),(155,1),(156,1),(205,1),(207,1)}
       127:{3,5,7}:{(100,1),(101,1),(157,1),(158,1)}
       128:{1,2,5,6}:{(101,1),(102,1),(103,1),(154,1),(158,1),(224,1),(226,1)}
       129:{2,5,6,7}:{(102,1),(104,1),(155,1)}
       130:{1,5,6,7}:{(103,1),(104,1),(156,1)}
       131:{1,3,4,6}:{(105,1),(109,1),(141,1),(147,1),(160,1),(194,1),(199,1),(208,1)}
       132:{1,2,5}:{(105,1),(106,1),(160,1)}
       133:{2,3,5,6}:{(106,1),(111,1),(143,1),(149,1),(161,1),(162,1),(167,1)}
       134:{2,3,4,6}:{(107,1),(109,1),(144,1),(150,1),(163,1),(196,1),(202,1),(210,1)}
       135:{1,2,5}:{(107,1),(108,1),(163,1)}
       136:{1,3,5,6}:{(108,1),(112,1),(146,1),(152,1),(164,1),(165,1),(167,1)}
       137:{3,5}:{(109,1),(110,1)}
       138:{1,2,4,5,6}:{(110,1),(111,1),(112,1),(154,1),(161,1),(164,1),(167,1),(168,1),(206,1),(208,1),(210,1),(224,1),(226,1)}
       139:{2,4,5,7}:{(111,1),(113,1),(155,1),(162,1)}
       140:{1,4,5,7}:{(112,1),(113,1),(156,1),(165,1)}
       141:{1,3,4}:{(114,1),(169,1)}
       142:{1,2,4,5}:{(114,1),(115,1),(132,1),(169,1),(170,1),(186,1)}
       143:{2,3,4,6}:{(115,1),(133,1),(170,1),(171,1),(192,1)}
       144:{2,3,4}:{(116,1),(172,1)}
       145:{1,2,4,5}:{(116,1),(117,1),(135,1),(172,1),(173,1),(189,1)}
       146:{1,3,4,6}:{(117,1),(136,1),(173,1),(174,1),(192,1)}
       147:{1,3,4,7}:{(118,1),(122,1),(131,1),(175,1),(213,1),(222,1)}
       148:{1,2,5,7}:{(118,1),(119,1),(132,1),(175,1),(176,1)}
       149:{2,3,6}:{(119,1),(124,1),(176,1),(182,1)}
       150:{2,3,4,7}:{(120,1),(122,1),(134,1),(178,1),(214,1),(223,1)}
       151:{1,2,5,7}:{(120,1),(121,1),(135,1),(178,1),(179,1)}
       152:{1,3,6}:{(121,1),(125,1),(179,1),(182,1)}
       153:{3,5,7}:{(122,1),(123,1),(137,1),(182,1)}
       154:{1,2,4,6}:{(123,1),(124,1),(125,1),(128,1),(176,1),(179,1),(182,1),(184,1),(215,1),(217,1)}
       155:{2,4,6,7}:{(124,1),(126,1),(129,1),(139,1),(177,1)}
       156:{1,4,6,7}:{(125,1),(126,1),(130,1),(140,1),(180,1)}
       157:{4,5,7}:{(127,1),(184,1)}
       158:{3,5,6}:{(127,1),(128,1),(182,1),(184,1)}
       159:{1,2,5,6,7}:{(128,1),(129,1),(130,1),(183,1),(185,1),(229,1),(230,1)}
       160:{1,3,5}:{(131,1),(132,1),(137,1),(186,1)}
       161:{1,2,5,6}:{(132,1),(133,1),(170,1),(176,1),(187,1),(188,1)}
       162:{2,3,5,7}:{(133,1),(139,1),(171,1),(177,1),(188,1),(193,1)}
       163:{2,3,5}:{(134,1),(135,1),(137,1),(189,1)}
       164:{1,2,5,6}:{(135,1),(136,1),(173,1),(179,1),(190,1),(191,1)}
       165:{1,3,5,7}:{(136,1),(140,1),(174,1),(180,1),(191,1),(193,1)}
       166:{3,4,5}:{(137,1),(186,1),(189,1),(192,1)}
       167:{3,5,6}:{(137,1),(138,1),(182,1),(192,1),(193,1)}
       168:{1,2,4,5,7}:{(138,1),(139,1),(140,1),(183,1),(188,1),(191,1),(193,1),(221,1),(222,1),(223,1),(229,1),(230,1)}
       169:{1,3,5}:{(141,1),(142,1),(194,1)}
       170:{1,2,4,6}:{(142,1),(143,1),(161,1),(194,1),(195,1),(208,1)}
       171:{2,3,4,7}:{(143,1),(162,1),(195,1),(212,1)}
       172:{2,3,5}:{(144,1),(145,1),(196,1)}
       173:{1,2,4,6}:{(145,1),(146,1),(164,1),(196,1),(197,1),(210,1)}
       174:{1,3,4,7}:{(146,1),(165,1),(197,1),(212,1)}
       175:{1,3,5,7}:{(147,1),(148,1),(153,1),(160,1),(198,1),(199,1)}
       176:{1,2,6}:{(148,1),(149,1),(199,1)}
       177:{2,3,6,7}:{(149,1),(155,1),(162,1),(200,1),(205,1)}
       178:{2,3,5,7}:{(150,1),(151,1),(153,1),(163,1),(201,1),(202,1)}
       179:{1,2,6}:{(151,1),(152,1),(202,1)}
       180:{1,3,6,7}:{(152,1),(156,1),(165,1),(203,1),(205,1)}
       181:{3,4,5,7}:{(153,1),(157,1),(166,1),(198,1),(201,1),(204,1),(212,1),(228,1)}
       182:{3,6}:{(153,1),(154,1)}
       183:{1,2,4,6,7}:{(154,1),(155,1),(156,1),(159,1),(168,1),(200,1),(203,1),(205,1),(207,1),(225,1),(227,1)}
       184:{4,6}:{(157,1),(158,1)}
       185:{3,5,6,7}:{(158,1),(159,1),(205,1),(207,1),(228,1)}
       186:{1,4,5}:{(160,1),(166,1),(208,1)}
       187:{1,3,5,6}:{(160,1),(161,1),(167,1),(194,1),(199,1),(208,1),(209,1),(224,1)}
       188:{1,2,5,7}:{(161,1),(162,1),(195,1),(200,1),(209,1)}
       189:{2,4,5}:{(163,1),(166,1),(210,1)}
       190:{2,3,5,6}:{(163,1),(164,1),(167,1),(196,1),(202,1),(210,1),(211,1),(226,1)}
       191:{1,2,5,7}:{(164,1),(165,1),(197,1),(203,1),(211,1)}
       192:{3,4,6}:{(166,1),(167,1),(208,1),(210,1),(212,1)}
       193:{3,5,7}:{(167,1),(168,1),(205,1),(212,1)}
       194:{1,3,6}:{(169,1),(170,1),(213,1)}
       195:{1,2,4,7}:{(170,1),(171,1),(188,1),(213,1),(222,1)}
       196:{2,3,6}:{(172,1),(173,1),(214,1)}
       197:{1,2,4,7}:{(173,1),(174,1),(191,1),(214,1),(223,1)}
       198:{1,4,5,7}:{(175,1),(181,1),(186,1),(215,1),(222,1),(229,1)}
       199:{1,3,6}:{(175,1),(176,1),(182,1),(215,1)}
       200:{1,2,6,7}:{(176,1),(177,1),(188,1),(216,1)}
       201:{2,4,5,7}:{(178,1),(181,1),(189,1),(217,1),(223,1),(230,1)}
       202:{2,3,6}:{(178,1),(179,1),(182,1),(217,1)}
       203:{1,2,6,7}:{(179,1),(180,1),(191,1),(218,1)}
       204:{3,4,6}:{(181,1),(182,1),(184,1),(215,1),(217,1),(219,1)}
       205:{3,6,7}:{(182,1),(183,1),(193,1)}
       206:{4,5,6}:{(184,1),(219,1),(221,1)}
       207:{4,6,7}:{(184,1),(185,1),(221,1)}
       208:{1,4,6}:{(186,1),(187,1),(192,1),(222,1)}
       209:{1,3,5,7}:{(187,1),(188,1),(193,1),(213,1),(216,1),(222,1),(229,1)}
       210:{2,4,6}:{(189,1),(190,1),(192,1),(223,1)}
       211:{2,3,5,7}:{(190,1),(191,1),(193,1),(214,1),(218,1),(223,1),(230,1)}
       212:{3,4,7}:{(192,1),(193,1),(222,1),(223,1)}
       213:{1,3,7}:{(194,1),(195,1)}
       214:{2,3,7}:{(196,1),(197,1)}
       215:{1,4,6}:{(198,1),(199,1),(204,1),(224,1)}
       216:{1,3,6,7}:{(199,1),(200,1),(205,1),(209,1),(225,1)}
       217:{2,4,6}:{(201,1),(202,1),(204,1),(226,1)}
       218:{2,3,6,7}:{(202,1),(203,1),(205,1),(211,1),(227,1)}
       219:{3,5,6}:{(204,1),(206,1),(224,1),(226,1),(228,1)}
       220:{3,4,6,7}:{(204,1),(205,1),(207,1),(212,1),(225,1),(227,1),(228,1)}
       221:{4,5,7}:{(206,1),(207,1),(228,1)}
       222:{1,4,7}:{(208,1),(209,1),(212,1)}
       223:{2,4,7}:{(210,1),(211,1),(212,1)}
       224:{1,5,6}:{(215,1),(219,1),(229,1)}
       225:{1,4,6,7}:{(215,1),(216,1),(220,1),(222,1),(229,1)}
       226:{2,5,6}:{(217,1),(219,1),(230,1)}
       227:{2,4,6,7}:{(217,1),(218,1),(220,1),(223,1),(230,1)}
       228:{3,5,7}:{(219,1),(220,1),(221,1),(229,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(228,1)}
       230:{2,5,7}:{(226,1),(227,1),(228,1)}

 742 :  0:{1,2,6,7}:{(3,1),(4,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(41,1),(42,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(19,1),(23,1),(24,1),(25,1),(41,1),(42,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{1,2,5,7}:{(0,1),(1,1),(9,1),(10,1),(46,1),(47,1)}
        5:{3,5,6}:{(1,1),(9,1),(11,1),(12,1),(26,1),(31,1),(45,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(12,1),(32,1),(33,1),(34,1)}
        7:{3,5}:{(2,1),(12,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(17,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(17,1),(18,1)}
       10:{1,2,4,7}:{(4,1),(6,1),(17,1),(18,1),(38,1),(39,1),(40,1)}
       11:{4,6}:{(5,1),(17,1),(19,1)}
       12:{3,6}:{(6,1),(7,1),(18,1)}
       13:{3,4}:{(7,1),(23,1),(24,1),(44,1)}
       14:{1,3,5}:{(7,1),(21,1),(23,1),(25,1),(41,1),(44,1),(55,1)}
       15:{2,3,5}:{(7,1),(22,1),(24,1),(25,1),(42,1),(44,1),(55,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,7}:{(9,1),(11,1)}
       18:{3,7}:{(10,1),(12,1)}
       19:{4,5}:{(11,1),(31,1),(58,1)}
       20:{3,4,6}:{(11,1),(12,1),(13,1),(28,1),(31,1),(32,1),(33,1),(45,1),(50,1),(58,1),(61,1)}
       21:{1,3,6}:{(12,1),(14,1),(29,1),(32,1),(34,1),(50,1)}
       22:{2,3,6}:{(12,1),(15,1),(30,1),(33,1),(34,1),(50,1)}
       23:{1,4}:{(13,1),(14,1),(58,1)}
       24:{2,4}:{(13,1),(15,1),(58,1)}
       25:{1,2,5}:{(14,1),(15,1),(34,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(19,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,4,7}:{(17,1),(18,1),(20,1),(37,1),(38,1),(39,1),(54,1),(60,1)}
       29:{1,3,7}:{(18,1),(21,1),(38,1),(40,1),(54,1)}
       30:{2,3,7}:{(18,1),(22,1),(39,1),(40,1),(54,1)}
       31:{3,5}:{(19,1),(20,1),(41,1),(42,1),(62,1)}
       32:{1,4,6}:{(20,1),(21,1),(23,1),(38,1),(41,1),(51,1)}
       33:{2,4,6}:{(20,1),(22,1),(24,1),(39,1),(42,1),(52,1)}
       34:{1,2,6}:{(21,1),(22,1),(25,1),(40,1)}
       35:{1,2,4}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(31,1),(45,1),(46,1),(47,1)}
       38:{1,4,7}:{(28,1),(29,1),(32,1),(46,1)}
       39:{2,4,7}:{(28,1),(30,1),(33,1),(47,1)}
       40:{1,2,7}:{(29,1),(30,1),(34,1)}
       41:{1,5}:{(31,1),(32,1)}
       42:{2,5}:{(31,1),(33,1)}
       43:{1,2,4,6}:{(32,1),(33,1),(34,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       44:{3}:{(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(41,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(42,1),(52,1)}
       48:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(53,1),(54,1),(60,1)}
       49:{1,2,5}:{(41,1),(42,1),(43,1),(55,1),(62,1)}
       50:{3,6}:{(43,1),(44,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,7}:{(48,1),(50,1)}
       55:{3,5}:{(49,1),(50,1),(58,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(55,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 743 :  0:{4,5,6}:{(1,1),(2,1),(46,1),(81,1)}
        1:{3,5,6}:{(0,1),(4,1),(5,1),(6,1),(7,1)}
        2:{4,5,7}:{(0,1),(7,1),(8,1),(59,1),(77,1)}
        3:{3,4,5}:{(4,1),(9,1),(10,1),(37,1),(58,1)}
        4:{3,4,6}:{(1,1),(3,1),(13,1),(14,1),(15,1),(44,1),(46,1)}
        5:{1,5,6}:{(1,1),(13,1),(17,1)}
        6:{2,5,6}:{(1,1),(14,1),(18,1)}
        7:{3,5,7}:{(1,1),(2,1),(15,1),(17,1),(18,1),(19,1)}
        8:{4,6,7}:{(2,1),(19,1),(20,1)}
        9:{1,4,5}:{(3,1),(13,1),(21,1)}
       10:{2,4,5}:{(3,1),(14,1),(22,1)}
       11:{1,3,4}:{(21,1),(24,1),(51,1)}
       12:{2,3,4}:{(22,1),(25,1),(51,1)}
       13:{1,4,6}:{(4,1),(5,1),(9,1),(26,1),(29,1)}
       14:{2,4,6}:{(4,1),(6,1),(10,1),(27,1),(30,1)}
       15:{3,4,7}:{(4,1),(7,1),(29,1),(30,1),(57,1),(59,1)}
       16:{1,2,5,6}:{(5,1),(6,1),(28,1),(31,1),(32,1),(71,1),(73,1),(82,1),(83,1)}
       17:{1,5,7}:{(5,1),(7,1),(29,1),(33,1)}
       18:{2,5,7}:{(6,1),(7,1),(30,1),(34,1)}
       19:{3,6,7}:{(7,1),(8,1),(33,1),(34,1)}
       20:{5,6,7}:{(8,1),(77,1)}
       21:{1,3,5}:{(9,1),(11,1),(26,1),(35,1),(37,1)}
       22:{2,3,5}:{(10,1),(12,1),(27,1),(36,1),(37,1)}
       23:{1,2,4,5}:{(9,1),(10,1),(28,1),(35,1),(36,1),(37,1),(58,1),(61,1),(62,1),(71,1),(73,1)}
       24:{1,2,4}:{(11,1),(35,1),(38,1),(61,1)}
       25:{1,2,4}:{(12,1),(36,1),(39,1),(62,1)}
       26:{1,3,6}:{(13,1),(21,1),(40,1),(41,1),(44,1)}
       27:{2,3,6}:{(14,1),(22,1),(42,1),(43,1),(44,1)}
       28:{1,2,4,6}:{(13,1),(14,1),(16,1),(23,1),(40,1),(42,1),(44,1),(45,1),(46,1),(63,1),(65,1)}
       29:{1,4,7}:{(13,1),(15,1),(17,1),(41,1)}
       30:{2,4,7}:{(14,1),(15,1),(18,1),(43,1)}
       31:{3,5,6}:{(16,1),(44,1),(46,1),(47,1),(67,1),(80,1),(81,1)}
       32:{1,2,5,7}:{(16,1),(17,1),(18,1),(45,1),(47,1),(48,1),(78,1),(79,1)}
       33:{1,6,7}:{(17,1),(19,1)}
       34:{2,6,7}:{(18,1),(19,1)}
       35:{1,2,5}:{(21,1),(24,1),(40,1),(49,1)}
       36:{1,2,5}:{(22,1),(25,1),(42,1),(50,1)}
       37:{3,5}:{(23,1),(44,1),(51,1)}
       38:{2,3}:{(24,1)}
       39:{1,3}:{(25,1)}
       40:{1,2,6}:{(26,1),(35,1),(52,1),(53,1)}
       41:{1,3,7}:{(26,1),(29,1),(53,1),(57,1)}
       42:{1,2,6}:{(27,1),(36,1),(54,1),(55,1)}
       43:{2,3,7}:{(27,1),(30,1),(55,1),(57,1)}
       44:{3,6}:{(28,1),(37,1),(57,1)}
       45:{1,2,4,7}:{(28,1),(29,1),(30,1),(32,1),(53,1),(55,1),(57,1),(59,1),(72,1),(74,1)}
       46:{4,6}:{(31,1),(58,1),(59,1)}
       47:{3,5,7}:{(31,1),(32,1),(57,1),(59,1),(60,1),(77,1)}
       48:{1,2,6,7}:{(32,1),(33,1),(34,1),(60,1),(82,1),(83,1)}
       49:{2,3,5}:{(35,1),(37,1),(38,1),(52,1),(61,1),(71,1)}
       50:{1,3,5}:{(36,1),(37,1),(39,1),(54,1),(62,1),(73,1)}
       51:{3,4}:{(37,1),(61,1),(62,1)}
       52:{2,3,6}:{(40,1),(44,1),(49,1),(63,1),(64,1)}
       53:{1,2,7}:{(40,1),(41,1),(64,1)}
       54:{1,3,6}:{(42,1),(44,1),(50,1),(65,1),(66,1)}
       55:{1,2,7}:{(42,1),(43,1),(66,1)}
       56:{3,4,6}:{(44,1),(46,1),(51,1),(63,1),(65,1),(67,1),(68,1),(80,1)}
       57:{3,7}:{(44,1),(45,1)}
       58:{4,5}:{(46,1),(67,1)}
       59:{4,7}:{(46,1),(47,1)}
       60:{3,6,7}:{(47,1),(48,1),(70,1),(80,1)}
       61:{2,4}:{(49,1),(51,1)}
       62:{1,4}:{(50,1),(51,1)}
       63:{2,4,6}:{(52,1),(56,1),(61,1),(71,1),(72,1),(82,1)}
       64:{2,3,7}:{(52,1),(53,1),(57,1),(72,1)}
       65:{1,4,6}:{(54,1),(56,1),(62,1),(73,1),(74,1),(83,1)}
       66:{1,3,7}:{(54,1),(55,1),(57,1),(74,1)}
       67:{3,5}:{(56,1),(58,1),(71,1),(73,1)}
       68:{3,4,7}:{(56,1),(57,1),(59,1),(72,1),(74,1),(75,1)}
       69:{4,5,7}:{(58,1),(59,1),(75,1),(76,1),(77,1)}
       70:{4,6,7}:{(59,1),(60,1),(76,1),(77,1)}
       71:{2,5}:{(63,1),(67,1)}
       72:{2,4,7}:{(63,1),(64,1),(68,1),(78,1)}
       73:{1,5}:{(65,1),(67,1)}
       74:{1,4,7}:{(65,1),(66,1),(68,1),(79,1)}
       75:{3,5,7}:{(67,1),(68,1),(69,1),(78,1),(79,1),(80,1)}
       76:{4,6}:{(69,1),(80,1),(81,1)}
       77:{5,7}:{(70,1),(81,1)}
       78:{2,5,7}:{(71,1),(72,1),(75,1),(82,1)}
       79:{1,5,7}:{(73,1),(74,1),(75,1),(83,1)}
       80:{3,6}:{(75,1),(76,1),(82,1),(83,1)}
       81:{5,6}:{(76,1),(77,1)}
       82:{2,6}:{(78,1),(80,1)}
       83:{1,6}:{(79,1),(80,1)}

 744 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(28,1),(54,1)}
         1:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(20,1)}
         2:{1,2,3,5}:{(0,1),(5,1),(7,1),(19,1),(44,1),(45,1)}
         3:{1,2,3,7}:{(0,1),(6,1),(43,1),(68,1)}
         4:{3,4,6}:{(1,1),(8,1),(9,1),(13,1),(23,1),(27,1),(28,1)}
         5:{1,2,5}:{(1,1),(8,1)}
         6:{1,2,4,7}:{(1,1),(3,1),(9,1),(12,1)}
         7:{1,2,4}:{(2,1),(13,1)}
         8:{3,5}:{(4,1),(5,1),(15,1)}
         9:{3,4,7}:{(4,1),(6,1),(16,1),(36,1),(43,1)}
        10:{1,2,5,6}:{(5,1),(14,1),(17,1),(18,1),(20,1),(58,1),(59,1)}
        11:{1,2,4,5}:{(5,1),(7,1),(15,1),(17,1),(19,1),(38,1),(39,1),(44,1)}
        12:{1,2,5,7}:{(5,1),(6,1),(16,1),(20,1)}
        13:{3,4}:{(7,1),(19,1)}
        14:{3,5,6}:{(8,1),(10,1),(23,1),(24,1),(27,1),(28,1),(53,1)}
        15:{4,5}:{(8,1),(23,1)}
        16:{3,5,7}:{(8,1),(9,1),(12,1),(26,1),(27,1)}
        17:{1,2,4,6}:{(10,1),(11,1),(23,1),(28,1),(29,1),(48,1),(49,1),(54,1)}
        18:{1,2,5,7}:{(10,1),(24,1),(29,1),(30,1),(71,1),(72,1)}
        19:{3,5}:{(11,1),(13,1),(28,1)}
        20:{1,2,6}:{(12,1),(27,1)}
        21:{1,3,4}:{(13,1),(31,1),(33,1),(77,1)}
        22:{2,3,4}:{(13,1),(32,1),(33,1),(77,1)}
        23:{4,6}:{(14,1),(15,1),(36,1)}
        24:{3,5,7}:{(14,1),(18,1),(36,1),(37,1),(43,1),(65,1)}
        25:{3,4,5}:{(15,1),(19,1),(35,1),(38,1),(39,1),(66,1),(94,1)}
        26:{4,5,7}:{(15,1),(16,1),(36,1),(40,1),(65,1)}
        27:{3,6}:{(16,1),(20,1),(40,1)}
        28:{3,6}:{(17,1),(19,1),(43,1)}
        29:{1,2,4,7}:{(17,1),(18,1),(36,1),(43,1),(63,1),(64,1),(68,1)}
        30:{1,2,6,7}:{(18,1),(20,1),(37,1),(82,1),(83,1)}
        31:{1,3,5}:{(19,1),(21,1),(38,1),(41,1),(44,1),(66,1)}
        32:{2,3,5}:{(19,1),(22,1),(39,1),(42,1),(44,1),(66,1)}
        33:{1,2,4}:{(21,1),(22,1),(44,1),(45,1)}
        34:{4,5,6}:{(23,1),(46,1),(47,1),(53,1),(88,1),(104,1)}
        35:{3,4,6}:{(23,1),(25,1),(28,1),(46,1),(48,1),(49,1),(50,1),(75,1),(88,1)}
        36:{4,7}:{(23,1),(24,1)}
        37:{3,6,7}:{(24,1),(27,1),(30,1),(51,1)}
        38:{1,4,5}:{(25,1),(31,1),(48,1)}
        39:{2,4,5}:{(25,1),(32,1),(49,1)}
        40:{4,6}:{(26,1),(27,1),(53,1)}
        41:{1,3,6}:{(28,1),(31,1),(48,1),(54,1),(55,1),(75,1)}
        42:{2,3,6}:{(28,1),(32,1),(49,1),(54,1),(56,1),(75,1)}
        43:{3,7}:{(28,1),(29,1)}
        44:{1,2,5}:{(31,1),(32,1),(33,1),(54,1)}
        45:{1,2,3}:{(33,1)}
        46:{3,5,6}:{(34,1),(35,1),(58,1),(59,1),(60,1)}
        47:{4,5,7}:{(34,1),(36,1),(60,1),(61,1),(65,1),(95,1),(103,1)}
        48:{1,4,6}:{(35,1),(38,1),(41,1),(58,1),(63,1)}
        49:{2,4,6}:{(35,1),(39,1),(42,1),(59,1),(64,1)}
        50:{3,4,7}:{(35,1),(36,1),(43,1),(60,1),(63,1),(64,1),(85,1),(95,1)}
        51:{4,6,7}:{(36,1),(37,1),(40,1),(65,1)}
        52:{1,2,4,5}:{(38,1),(39,1),(44,1),(62,1),(66,1),(69,1),(86,1),(94,1)}
        53:{5,6}:{(40,1),(65,1)}
        54:{1,2,6}:{(41,1),(42,1),(44,1),(68,1)}
        55:{1,3,7}:{(41,1),(43,1),(63,1),(68,1),(85,1)}
        56:{2,3,7}:{(42,1),(43,1),(64,1),(68,1),(85,1)}
        57:{1,2,3,5}:{(44,1),(45,1),(66,1),(67,1),(69,1),(86,1)}
        58:{1,5,6}:{(46,1),(48,1),(71,1)}
        59:{2,5,6}:{(46,1),(49,1),(72,1)}
        60:{3,5,7}:{(46,1),(47,1),(50,1),(71,1),(72,1),(73,1)}
        61:{4,6,7}:{(47,1),(73,1),(74,1)}
        62:{1,2,4,6}:{(48,1),(49,1),(52,1),(54,1),(70,1),(75,1),(76,1),(88,1)}
        63:{1,4,7}:{(48,1),(50,1),(55,1),(71,1)}
        64:{2,4,7}:{(49,1),(50,1),(56,1),(72,1)}
        65:{5,7}:{(51,1),(53,1)}
        66:{3,5}:{(52,1),(75,1),(77,1)}
        67:{1,2,3,6}:{(54,1),(57,1),(75,1),(78,1),(79,1)}
        68:{1,2,7}:{(54,1),(55,1),(56,1)}
        69:{1,2,4}:{(57,1),(77,1)}
        70:{1,2,5,6}:{(58,1),(59,1),(62,1),(80,1),(81,1),(86,1),(98,1)}
        71:{1,5,7}:{(58,1),(60,1),(63,1),(82,1)}
        72:{2,5,7}:{(59,1),(60,1),(64,1),(83,1)}
        73:{3,6,7}:{(60,1),(61,1),(82,1),(83,1)}
        74:{5,6,7}:{(61,1),(65,1),(103,1)}
        75:{3,6}:{(62,1),(66,1),(85,1)}
        76:{1,2,4,7}:{(62,1),(63,1),(64,1),(68,1),(81,1),(85,1),(95,1)}
        77:{3,4}:{(66,1),(69,1)}
        78:{1,2,4,6}:{(67,1),(69,1),(84,1),(86,1),(87,1),(98,1)}
        79:{1,2,3,7}:{(67,1),(68,1),(85,1),(87,1)}
        80:{3,5,6}:{(70,1),(75,1),(88,1),(89,1),(91,1),(101,1),(104,1)}
        81:{1,2,5,7}:{(70,1),(71,1),(72,1),(76,1),(89,1),(90,1)}
        82:{1,6,7}:{(71,1),(73,1)}
        83:{2,6,7}:{(72,1),(73,1)}
        84:{3,4,6}:{(75,1),(77,1),(78,1),(88,1),(91,1),(92,1),(101,1)}
        85:{3,7}:{(75,1),(76,1)}
        86:{1,2,5}:{(78,1),(91,1)}
        87:{1,2,4,7}:{(78,1),(79,1),(92,1),(93,1)}
        88:{4,6}:{(80,1),(94,1),(95,1)}
        89:{3,5,7}:{(80,1),(81,1),(85,1),(95,1),(96,1),(103,1)}
        90:{1,2,6,7}:{(81,1),(82,1),(83,1),(96,1),(98,1)}
        91:{3,5}:{(84,1),(86,1),(94,1)}
        92:{3,4,7}:{(84,1),(85,1),(87,1),(95,1),(97,1)}
        93:{1,2,5,7}:{(86,1),(87,1),(97,1),(98,1)}
        94:{4,5}:{(88,1),(91,1)}
        95:{4,7}:{(88,1),(89,1)}
        96:{3,6,7}:{(89,1),(90,1),(100,1),(101,1)}
        97:{3,5,7}:{(91,1),(92,1),(93,1),(99,1),(101,1)}
        98:{1,2,6}:{(93,1),(101,1)}
        99:{4,5,7}:{(94,1),(95,1),(97,1),(102,1),(103,1)}
       100:{4,6,7}:{(95,1),(96,1),(102,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(102,1)}
       102:{4,6}:{(99,1),(101,1),(104,1)}
       103:{5,7}:{(100,1),(104,1)}
       104:{5,6}:{(102,1),(103,1)}

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

 746 :   0:{1,3,5,7}:{(2,1),(3,1),(4,1),(15,1),(19,1),(23,1),(54,1)}
         1:{2,3,5,7}:{(2,1),(5,1),(6,1),(17,1),(19,1),(26,1),(54,1)}
         2:{1,2,5,7}:{(0,1),(1,1),(9,1),(10,1),(29,1),(32,1),(38,1)}
         3:{1,4,7}:{(0,1),(11,1),(12,1),(70,1),(100,1)}
         4:{1,3,6}:{(0,1),(10,1),(12,1),(30,1),(37,1),(102,1)}
         5:{2,4,7}:{(1,1),(13,1),(14,1),(70,1),(101,1)}
         6:{2,3,6}:{(1,1),(10,1),(14,1),(33,1),(37,1),(103,1)}
         7:{1,4,5,7}:{(3,1),(15,1),(16,1),(23,1),(44,1),(56,1),(74,1)}
         8:{2,4,5,7}:{(5,1),(17,1),(18,1),(26,1),(46,1),(58,1),(76,1)}
         9:{1,2,4,7}:{(2,1),(3,1),(5,1),(19,1),(20,1),(21,1),(24,1),(51,1)}
        10:{1,2,6}:{(2,1),(4,1),(6,1),(47,1),(49,1),(104,1)}
        11:{3,4,7}:{(3,1),(15,1),(19,1),(21,1),(22,1),(74,1),(93,1)}
        12:{1,4,6}:{(3,1),(4,1),(22,1),(23,1),(95,1),(99,1)}
        13:{3,4,7}:{(5,1),(17,1),(19,1),(24,1),(25,1),(76,1),(94,1)}
        14:{2,4,6}:{(5,1),(6,1),(25,1),(26,1),(96,1),(98,1)}
        15:{3,5,7}:{(7,1),(11,1),(29,1),(30,1),(40,1)}
        16:{1,4,6}:{(7,1),(30,1),(31,1),(64,1)}
        17:{3,5,7}:{(8,1),(13,1),(32,1),(33,1),(42,1)}
        18:{2,4,6}:{(8,1),(33,1),(34,1),(66,1)}
        19:{3,7}:{(9,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(10,1),(12,1),(14,1),(37,1),(38,1),(39,1),(41,1),(67,1),(70,1),(88,1)}
        21:{2,4,7}:{(11,1),(29,1),(36,1),(39,1)}
        22:{3,4,6}:{(11,1),(12,1),(30,1),(37,1),(39,1),(40,1),(64,1),(70,1),(86,1),(90,1)}
        23:{1,5}:{(12,1),(40,1)}
        24:{1,4,7}:{(13,1),(32,1),(35,1),(41,1)}
        25:{3,4,6}:{(13,1),(14,1),(33,1),(37,1),(41,1),(42,1),(66,1),(70,1),(87,1),(89,1)}
        26:{2,5}:{(14,1),(42,1)}
        27:{1,4,6,7}:{(16,1),(43,1),(44,1),(74,1)}
        28:{2,4,6,7}:{(18,1),(45,1),(46,1),(76,1)}
        29:{2,5,7}:{(15,1),(21,1),(47,1),(55,1)}
        30:{3,6}:{(15,1),(16,1),(47,1)}
        31:{1,5,6}:{(16,1),(23,1),(44,1),(48,1),(95,1)}
        32:{1,5,7}:{(17,1),(24,1),(49,1),(57,1)}
        33:{3,6}:{(17,1),(18,1),(49,1)}
        34:{2,5,6}:{(18,1),(26,1),(46,1),(50,1),(96,1)}
        35:{1,3,7}:{(19,1),(24,1),(51,1),(52,1),(94,1)}
        36:{2,3,7}:{(19,1),(21,1),(51,1),(53,1),(93,1)}
        37:{3,6}:{(19,1),(20,1),(54,1),(97,1)}
        38:{1,2,5}:{(20,1),(23,1),(26,1),(54,1),(55,1),(57,1)}
        39:{2,4,6}:{(21,1),(22,1),(47,1),(53,1),(55,1),(81,1)}
        40:{3,5}:{(22,1),(23,1),(55,1),(56,1)}
        41:{1,4,6}:{(24,1),(25,1),(49,1),(52,1),(57,1),(80,1)}
        42:{3,5}:{(25,1),(26,1),(57,1),(58,1)}
        43:{3,6,7}:{(27,1),(30,1),(59,1),(60,1)}
        44:{1,5,7}:{(27,1),(31,1),(60,1),(100,1)}
        45:{3,6,7}:{(28,1),(33,1),(61,1),(62,1)}
        46:{2,5,7}:{(28,1),(34,1),(62,1),(101,1)}
        47:{2,6}:{(29,1),(30,1)}
        48:{3,5,6}:{(30,1),(31,1),(40,1),(60,1),(63,1),(64,1),(86,1)}
        49:{1,6}:{(32,1),(33,1)}
        50:{3,5,6}:{(33,1),(34,1),(42,1),(62,1),(65,1),(66,1),(87,1)}
        51:{1,2,7}:{(35,1),(36,1),(67,1),(100,1),(101,1)}
        52:{1,3,6}:{(35,1),(37,1),(41,1),(67,1),(68,1),(87,1)}
        53:{2,3,6}:{(36,1),(37,1),(39,1),(67,1),(69,1),(86,1)}
        54:{3,5}:{(37,1),(38,1),(70,1)}
        55:{2,5}:{(39,1),(40,1)}
        56:{4,5}:{(40,1),(64,1),(70,1)}
        57:{1,5}:{(41,1),(42,1)}
        58:{4,5}:{(42,1),(66,1),(70,1)}
        59:{2,6,7}:{(43,1),(47,1),(73,1)}
        60:{3,5,7}:{(43,1),(44,1),(48,1),(73,1),(74,1),(93,1)}
        61:{1,6,7}:{(45,1),(49,1),(75,1)}
        62:{3,5,7}:{(45,1),(46,1),(50,1),(75,1),(76,1),(94,1)}
        63:{2,5,6}:{(47,1),(48,1),(55,1),(73,1),(77,1)}
        64:{4,6}:{(48,1),(56,1),(74,1)}
        65:{1,5,6}:{(49,1),(50,1),(57,1),(75,1),(78,1)}
        66:{4,6}:{(50,1),(58,1),(76,1)}
        67:{1,2,6}:{(51,1),(52,1),(53,1),(79,1),(95,1),(96,1)}
        68:{1,3,5}:{(52,1),(54,1),(57,1),(79,1),(80,1),(83,1),(97,1)}
        69:{2,3,5}:{(53,1),(54,1),(55,1),(79,1),(81,1),(82,1),(97,1)}
        70:{4}:{(54,1)}
        71:{2,4,5}:{(55,1),(56,1),(77,1),(81,1),(82,1)}
        72:{1,4,5}:{(57,1),(58,1),(78,1),(80,1),(83,1)}
        73:{2,5,7}:{(59,1),(60,1),(63,1),(84,1)}
        74:{4,7}:{(60,1),(64,1)}
        75:{1,5,7}:{(61,1),(62,1),(65,1),(85,1)}
        76:{4,7}:{(62,1),(66,1)}
        77:{2,4,6}:{(63,1),(64,1),(71,1),(84,1),(86,1)}
        78:{1,4,6}:{(65,1),(66,1),(72,1),(85,1),(87,1)}
        79:{1,2,5}:{(67,1),(68,1),(69,1),(88,1),(91,1),(92,1)}
        80:{1,4}:{(68,1),(70,1),(89,1)}
        81:{2,4}:{(69,1),(70,1),(90,1)}
        82:{3,5}:{(71,1),(86,1),(90,1),(91,1)}
        83:{3,5}:{(72,1),(87,1),(89,1),(92,1)}
        84:{2,4,7}:{(73,1),(74,1),(77,1),(93,1)}
        85:{1,4,7}:{(75,1),(76,1),(78,1),(94,1)}
        86:{3,6}:{(77,1),(82,1),(93,1),(95,1)}
        87:{3,6}:{(78,1),(83,1),(94,1),(96,1)}
        88:{1,2,4}:{(79,1),(80,1),(81,1),(97,1),(98,1),(99,1),(104,1)}
        89:{3,4}:{(80,1),(83,1),(97,1),(98,1)}
        90:{3,4}:{(81,1),(82,1),(97,1),(99,1)}
        91:{1,5}:{(82,1),(95,1),(99,1)}
        92:{2,5}:{(83,1),(96,1),(98,1)}
        93:{3,7}:{(84,1),(86,1),(100,1)}
        94:{3,7}:{(85,1),(87,1),(101,1)}
        95:{1,6}:{(86,1),(91,1),(100,1)}
        96:{2,6}:{(87,1),(92,1),(101,1)}
        97:{3}:{(88,1)}
        98:{2,4}:{(89,1),(92,1),(103,1)}
        99:{1,4}:{(90,1),(91,1),(102,1)}
       100:{1,7}:{(93,1),(95,1)}
       101:{2,7}:{(94,1),(96,1)}
       102:{1,3}:{(97,1),(99,1),(104,1)}
       103:{2,3}:{(97,1),(98,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

 747 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(2,1),(3,1)}
        2:{3,4}:{(1,1),(4,1)}
        3:{1,2,5}:{(1,1),(4,1),(5,1)}
        4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
        5:{1,2,6}:{(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:{1,2,7}:{(5,1),(10,1)}
        9:{4,6}:{(6,1),(7,1),(11,1),(12,1)}
       10:{3,7}:{(7,1),(8,1),(12,1)}
       11:{5,6}:{(9,1),(13,1)}
       12:{4,7}:{(9,1),(10,1),(13,1)}
       13:{5,7}:{(11,1),(12,1),(14,1)}
       14:{6,7}:{(13,1)}

 748 :   0:{1,2,4,5,7}:{(2,1),(3,1),(5,1),(15,1),(16,1),(18,1),(28,1),(47,1),(48,1),(49,1),(58,1),(59,1),(60,1),(81,1),(93,1),(94,1)}
         1:{1,2,4,6,7}:{(3,1),(4,1),(5,1),(22,1),(23,1),(25,1),(28,1),(60,1),(133,1)}
         2:{3,5,7}:{(0,1),(6,1),(9,1),(32,1),(77,1),(98,1)}
         3:{1,2,4,6}:{(0,1),(9,1),(10,1),(30,1),(31,1),(33,1),(36,1),(71,1),(72,1),(105,1),(106,1)}
         4:{3,6,7}:{(1,1),(9,1),(14,1),(77,1),(137,1)}
         5:{1,2,5,7}:{(1,1),(10,1),(14,1),(39,1),(40,1),(136,1)}
         6:{3,4,7}:{(2,1),(15,1),(16,1),(17,1),(28,1),(45,1),(111,1)}
         7:{1,3,5,7}:{(2,1),(15,1),(18,1),(19,1),(45,1),(47,1),(80,1),(94,1),(95,1),(112,1)}
         8:{2,3,5,7}:{(2,1),(16,1),(18,1),(20,1),(45,1),(48,1),(80,1),(93,1),(96,1),(113,1)}
         9:{3,6}:{(2,1),(3,1)}
        10:{1,2,5,6}:{(3,1),(5,1),(21,1),(47,1),(48,1),(53,1),(54,1)}
        11:{3,4,6,7}:{(4,1),(17,1),(22,1),(23,1),(24,1),(28,1),(55,1),(56,1),(61,1),(62,1),(89,1),(90,1),(91,1),(116,1)}
        12:{1,3,6,7}:{(4,1),(19,1),(22,1),(25,1),(26,1),(56,1),(89,1),(95,1),(117,1)}
        13:{2,3,6,7}:{(4,1),(20,1),(23,1),(25,1),(27,1),(56,1),(90,1),(96,1),(118,1)}
        14:{3,5,7}:{(4,1),(5,1),(21,1),(28,1),(138,1)}
        15:{1,4,7}:{(6,1),(7,1),(30,1),(97,1),(122,1)}
        16:{2,4,7}:{(6,1),(8,1),(31,1),(97,1),(123,1)}
        17:{3,4,6}:{(6,1),(9,1),(30,1),(31,1),(32,1),(36,1),(63,1),(97,1)}
        18:{1,2,5,7}:{(7,1),(8,1),(29,1),(33,1),(64,1),(110,1),(124,1)}
        19:{1,3,6}:{(7,1),(9,1),(30,1),(33,1),(63,1),(106,1)}
        20:{2,3,6}:{(8,1),(9,1),(31,1),(33,1),(63,1),(105,1)}
        21:{3,5,6}:{(9,1),(10,1),(14,1),(32,1),(36,1)}
        22:{1,4,6,7}:{(11,1),(12,1),(30,1),(39,1),(43,1),(71,1),(79,1),(106,1),(126,1)}
        23:{2,4,6,7}:{(11,1),(13,1),(31,1),(40,1),(44,1),(72,1),(78,1),(105,1),(127,1)}
        24:{3,5,7}:{(11,1),(32,1),(37,1),(39,1),(40,1),(41,1),(125,1)}
        25:{1,2,6,7}:{(12,1),(13,1),(33,1),(42,1),(105,1),(106,1),(110,1),(128,1)}
        26:{1,3,5,7}:{(12,1),(14,1),(34,1),(39,1),(42,1),(43,1),(73,1),(75,1),(77,1)}
        27:{2,3,5,7}:{(13,1),(14,1),(35,1),(40,1),(42,1),(44,1),(73,1),(76,1),(77,1)}
        28:{4,7}:{(14,1),(36,1),(139,1)}
        29:{1,2,4,7}:{(15,1),(16,1),(18,1),(45,1),(46,1),(130,1)}
        30:{1,4,6}:{(15,1),(17,1),(19,1),(47,1)}
        31:{2,4,6}:{(16,1),(17,1),(20,1),(48,1)}
        32:{3,5}:{(17,1),(47,1),(48,1),(49,1)}
        33:{1,2,6}:{(18,1),(19,1),(20,1)}
        34:{1,3,5,6}:{(19,1),(21,1),(26,1),(47,1),(50,1),(51,1),(53,1),(80,1),(82,1),(84,1),(87,1),(89,1),(112,1),(117,1),(131,1),(138,1)}
        35:{2,3,5,6}:{(20,1),(21,1),(27,1),(48,1),(50,1),(52,1),(54,1),(80,1),(83,1),(84,1),(87,1),(90,1),(113,1),(118,1),(132,1),(138,1)}
        36:{4,6}:{(21,1),(28,1),(49,1)}
        37:{3,5,6}:{(24,1),(53,1),(54,1),(55,1),(89,1),(90,1)}
        38:{1,2,4,6,7}:{(22,1),(23,1),(25,1),(46,1),(56,1),(57,1),(60,1),(88,1),(91,1)}
        39:{1,5,7}:{(22,1),(24,1),(47,1),(53,1),(131,1)}
        40:{2,5,7}:{(23,1),(24,1),(48,1),(54,1),(132,1)}
        41:{4,5,7}:{(24,1),(28,1),(49,1),(55,1),(91,1),(115,1)}
        42:{1,2,5,7}:{(25,1),(26,1),(27,1),(50,1),(60,1),(93,1),(94,1)}
        43:{1,4,7}:{(26,1),(28,1),(51,1),(61,1),(91,1)}
        44:{2,4,7}:{(27,1),(28,1),(52,1),(62,1),(91,1)}
        45:{3,7}:{(29,1),(63,1),(135,1)}
        46:{1,2,4,6}:{(29,1),(30,1),(31,1),(33,1),(63,1),(64,1),(97,1)}
        47:{1,5}:{(30,1),(32,1)}
        48:{2,5}:{(31,1),(32,1)}
        49:{4,5}:{(32,1),(36,1),(97,1)}
        50:{1,2,5,6}:{(33,1),(34,1),(35,1),(42,1),(64,1),(67,1),(99,1),(100,1),(105,1),(106,1),(124,1),(128,1),(136,1)}
        51:{1,4,6}:{(34,1),(36,1),(43,1),(65,1),(68,1),(97,1),(103,1),(122,1),(139,1)}
        52:{2,4,6}:{(35,1),(36,1),(44,1),(66,1),(69,1),(97,1),(103,1),(123,1),(139,1)}
        53:{1,5,6}:{(37,1),(39,1),(71,1),(106,1)}
        54:{2,5,6}:{(37,1),(40,1),(72,1),(105,1)}
        55:{4,6}:{(37,1),(41,1)}
        56:{3,6,7}:{(38,1),(63,1),(73,1),(77,1),(104,1)}
        57:{1,2,5,7}:{(38,1),(39,1),(40,1),(64,1),(70,1),(73,1)}
        58:{1,4,5,7}:{(39,1),(41,1),(43,1),(65,1),(71,1),(75,1)}
        59:{2,4,5,7}:{(40,1),(41,1),(44,1),(66,1),(72,1),(76,1)}
        60:{1,2,4,7}:{(42,1),(43,1),(44,1),(67,1),(77,1),(78,1),(79,1),(110,1)}
        61:{3,4,7}:{(43,1),(68,1),(75,1),(77,1),(78,1)}
        62:{3,4,7}:{(44,1),(69,1),(76,1),(77,1),(79,1)}
        63:{3,6}:{(45,1),(46,1),(80,1)}
        64:{1,2,5}:{(46,1),(47,1),(48,1),(80,1)}
        65:{1,4,5}:{(47,1),(49,1),(51,1),(82,1),(115,1),(131,1)}
        66:{2,4,5}:{(48,1),(49,1),(52,1),(83,1),(115,1),(132,1)}
        67:{1,2,4,6}:{(50,1),(51,1),(52,1),(60,1),(81,1),(84,1),(85,1),(86,1),(114,1),(130,1)}
        68:{3,4,6}:{(51,1),(61,1),(82,1),(84,1),(85,1),(89,1),(111,1)}
        69:{3,4,6}:{(52,1),(62,1),(83,1),(84,1),(86,1),(90,1),(111,1)}
        70:{1,2,5,6}:{(53,1),(54,1),(57,1),(87,1),(88,1),(131,1),(132,1)}
        71:{1,4,6}:{(53,1),(55,1),(58,1),(89,1)}
        72:{2,4,6}:{(54,1),(55,1),(59,1),(90,1)}
        73:{3,5,7}:{(56,1),(57,1),(80,1),(87,1),(91,1)}
        74:{1,2,4,5,7}:{(57,1),(58,1),(59,1),(60,1),(81,1),(88,1),(91,1),(92,1),(93,1),(94,1),(115,1),(119,1),(120,1),(121,1),(131,1),(132,1)}
        75:{3,5,7}:{(58,1),(61,1),(82,1),(89,1),(93,1)}
        76:{3,5,7}:{(59,1),(62,1),(83,1),(90,1),(94,1)}
        77:{3,7}:{(60,1),(84,1)}
        78:{2,4,7}:{(61,1),(85,1),(93,1),(96,1)}
        79:{1,4,7}:{(62,1),(86,1),(94,1),(95,1)}
        80:{3,5}:{(63,1),(64,1),(97,1)}
        81:{1,2,4,5}:{(64,1),(65,1),(66,1),(67,1),(97,1),(98,1),(99,1),(100,1),(122,1),(123,1),(124,1),(136,1),(139,1)}
        82:{3,5}:{(65,1),(68,1),(99,1)}
        83:{3,5}:{(66,1),(69,1),(100,1)}
        84:{3,6}:{(67,1),(77,1),(98,1),(135,1)}
        85:{2,4,6}:{(68,1),(78,1),(99,1),(102,1),(105,1),(123,1)}
        86:{1,4,6}:{(69,1),(79,1),(100,1),(101,1),(106,1),(122,1)}
        87:{3,5,6}:{(70,1),(73,1),(103,1),(104,1),(125,1)}
        88:{1,2,4,6}:{(70,1),(71,1),(72,1),(74,1),(103,1),(104,1),(105,1),(106,1),(126,1),(127,1),(128,1)}
        89:{3,6}:{(71,1),(75,1),(105,1)}
        90:{3,6}:{(72,1),(76,1),(106,1)}
        91:{4,7}:{(73,1),(97,1),(103,1)}
        92:{3,5,7}:{(74,1),(77,1),(98,1),(104,1),(107,1),(125,1)}
        93:{2,5,7}:{(75,1),(78,1),(99,1),(105,1)}
        94:{1,5,7}:{(76,1),(79,1),(100,1),(106,1)}
        95:{1,3,7}:{(77,1),(79,1),(101,1),(110,1)}
        96:{2,3,7}:{(77,1),(78,1),(102,1),(110,1)}
        97:{4}:{(80,1)}
        98:{3,5}:{(81,1),(84,1),(111,1)}
        99:{2,5}:{(82,1),(85,1)}
       100:{1,5}:{(83,1),(86,1)}
       101:{1,3,6}:{(84,1),(86,1),(95,1),(112,1),(114,1)}
       102:{2,3,6}:{(84,1),(85,1),(96,1),(113,1),(114,1)}
       103:{4,6}:{(87,1),(91,1),(115,1)}
       104:{3,6}:{(88,1),(92,1)}
       105:{2,6}:{(89,1),(93,1)}
       106:{1,6}:{(90,1),(94,1)}
       107:{3,4,7}:{(91,1),(92,1),(111,1),(116,1),(119,1),(120,1),(134,1)}
       108:{1,3,5,7}:{(92,1),(94,1),(95,1),(112,1),(117,1),(119,1),(121,1),(131,1),(134,1),(138,1)}
       109:{2,3,5,7}:{(92,1),(93,1),(96,1),(113,1),(118,1),(120,1),(121,1),(132,1),(134,1),(138,1)}
       110:{1,2,7}:{(95,1),(96,1),(114,1)}
       111:{3,4}:{(97,1),(98,1),(122,1),(123,1),(135,1),(139,1)}
       112:{1,3,5}:{(98,1),(100,1),(101,1),(122,1),(124,1),(135,1)}
       113:{2,3,5}:{(98,1),(99,1),(102,1),(123,1),(124,1),(135,1)}
       114:{1,2,6}:{(101,1),(102,1),(110,1),(124,1)}
       115:{4,5}:{(103,1),(125,1),(139,1)}
       116:{3,4,6}:{(103,1),(104,1),(107,1),(125,1),(126,1),(127,1),(137,1),(139,1)}
       117:{1,3,6}:{(104,1),(106,1),(108,1),(126,1),(128,1),(137,1)}
       118:{2,3,6}:{(104,1),(105,1),(109,1),(127,1),(128,1),(137,1)}
       119:{1,4,7}:{(107,1),(108,1),(122,1),(126,1),(139,1)}
       120:{2,4,7}:{(107,1),(109,1),(123,1),(127,1),(139,1)}
       121:{1,2,5,7}:{(108,1),(109,1),(110,1),(124,1),(128,1),(129,1),(136,1)}
       122:{1,4}:{(111,1),(112,1)}
       123:{2,4}:{(111,1),(113,1)}
       124:{1,2,5}:{(112,1),(113,1),(114,1),(130,1)}
       125:{3,5}:{(115,1),(116,1),(131,1),(132,1)}
       126:{1,4,6}:{(116,1),(117,1),(119,1),(131,1)}
       127:{2,4,6}:{(116,1),(118,1),(120,1),(132,1)}
       128:{1,2,6}:{(117,1),(118,1),(121,1)}
       129:{1,2,4,7}:{(119,1),(120,1),(121,1),(130,1),(133,1),(134,1)}
       130:{1,2,4}:{(122,1),(123,1),(124,1),(135,1)}
       131:{1,5}:{(125,1),(126,1)}
       132:{2,5}:{(125,1),(127,1)}
       133:{1,2,4,6}:{(126,1),(127,1),(128,1),(129,1),(136,1),(137,1),(139,1)}
       134:{3,7}:{(129,1),(135,1),(137,1)}
       135:{3}:{(130,1)}
       136:{1,2,5}:{(131,1),(132,1),(133,1),(138,1)}
       137:{3,6}:{(133,1),(134,1),(138,1)}
       138:{3,5}:{(136,1),(137,1),(139,1)}
       139:{4}:{(138,1)}

 749 :   0:{1,2,5,6,7}:{(1,1),(2,1),(26,1),(27,1),(53,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(5,1),(14,1),(70,1)}
         2:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(15,1),(16,1),(20,1),(69,1)}
         3:{4,6,7}:{(1,1),(7,1),(85,1)}
         4:{1,2,4,5,7}:{(2,1),(6,1),(7,1),(9,1),(26,1),(27,1),(29,1),(30,1),(31,1)}
         5:{3,6,7}:{(2,1),(9,1),(84,1)}
         6:{1,2,4,5,6}:{(4,1),(12,1),(13,1),(33,1),(34,1),(35,1),(37,1),(38,1),(63,1),(69,1),(95,1),(103,1),(104,1)}
         7:{4,5,7}:{(3,1),(13,1),(14,1),(74,1),(95,1)}
         8:{3,4,6,7}:{(3,1),(5,1),(14,1),(15,1),(16,1),(17,1),(36,1),(42,1),(74,1),(94,1)}
         9:{3,5,7}:{(4,1),(5,1),(12,1),(17,1)}
        10:{1,3,6,7}:{(5,1),(15,1),(18,1),(20,1),(42,1),(67,1),(93,1)}
        11:{2,3,6,7}:{(5,1),(16,1),(19,1),(20,1),(42,1),(68,1),(92,1)}
        12:{3,5,6}:{(6,1),(9,1),(21,1),(79,1),(84,1),(102,1)}
        13:{4,5,6}:{(7,1),(24,1),(85,1)}
        14:{3,5,7}:{(7,1),(8,1),(24,1),(26,1),(27,1),(102,1)}
        15:{1,4,6,7}:{(8,1),(10,1),(26,1),(29,1),(51,1),(101,1)}
        16:{2,4,6,7}:{(8,1),(11,1),(27,1),(30,1),(52,1),(100,1)}
        17:{3,4,7}:{(9,1),(21,1),(29,1),(30,1),(60,1)}
        18:{1,3,5,7}:{(9,1),(10,1),(22,1),(26,1),(29,1),(31,1),(57,1),(60,1)}
        19:{2,3,5,7}:{(9,1),(11,1),(23,1),(27,1),(30,1),(31,1),(57,1),(60,1)}
        20:{1,2,6,7}:{(10,1),(11,1),(31,1),(82,1),(83,1)}
        21:{3,4,6}:{(12,1),(17,1),(32,1),(33,1),(34,1),(66,1),(91,1)}
        22:{1,3,5,6}:{(12,1),(18,1),(33,1),(35,1),(37,1),(61,1),(66,1),(67,1),(70,1),(90,1),(93,1),(104,1)}
        23:{2,3,5,6}:{(12,1),(19,1),(34,1),(35,1),(38,1),(62,1),(66,1),(68,1),(70,1),(89,1),(92,1),(103,1)}
        24:{3,5,6}:{(13,1),(14,1),(36,1),(37,1),(38,1)}
        25:{3,4,5,7}:{(14,1),(17,1),(32,1),(36,1),(39,1),(40,1),(73,1),(74,1),(95,1)}
        26:{1,5,7}:{(14,1),(15,1),(37,1),(104,1)}
        27:{2,5,7}:{(14,1),(16,1),(38,1),(103,1)}
        28:{1,2,4,6,7}:{(15,1),(16,1),(20,1),(41,1),(42,1),(45,1),(69,1),(74,1)}
        29:{1,4,7}:{(17,1),(18,1),(33,1),(74,1)}
        30:{2,4,7}:{(17,1),(19,1),(34,1),(74,1)}
        31:{1,2,5,7}:{(18,1),(19,1),(20,1),(35,1),(45,1)}
        32:{3,4,5}:{(21,1),(46,1),(47,1),(79,1),(102,1)}
        33:{1,4,6}:{(21,1),(22,1),(29,1),(46,1),(85,1),(99,1)}
        34:{2,4,6}:{(21,1),(23,1),(30,1),(47,1),(85,1),(98,1)}
        35:{1,2,5,6}:{(22,1),(23,1),(31,1),(50,1),(77,1),(78,1),(82,1),(83,1)}
        36:{3,4,6}:{(24,1),(25,1),(51,1),(52,1),(84,1),(85,1)}
        37:{1,5,6}:{(24,1),(26,1),(51,1)}
        38:{2,5,6}:{(24,1),(27,1),(52,1)}
        39:{1,4,5,7}:{(25,1),(26,1),(29,1),(46,1),(51,1),(54,1)}
        40:{2,4,5,7}:{(25,1),(27,1),(30,1),(47,1),(52,1),(55,1)}
        41:{1,2,5,7}:{(26,1),(27,1),(28,1),(53,1),(57,1)}
        42:{3,6,7}:{(28,1),(57,1),(60,1),(84,1)}
        43:{1,3,4,7}:{(29,1),(48,1),(54,1),(58,1),(60,1),(88,1)}
        44:{2,3,4,7}:{(30,1),(49,1),(55,1),(59,1),(60,1),(88,1)}
        45:{1,2,4,7}:{(29,1),(30,1),(31,1),(50,1),(60,1)}
        46:{1,4,5}:{(32,1),(33,1),(61,1),(95,1),(104,1)}
        47:{2,4,5}:{(32,1),(34,1),(62,1),(95,1),(103,1)}
        48:{1,3,4,6}:{(33,1),(43,1),(61,1),(64,1),(66,1),(67,1),(91,1),(94,1)}
        49:{2,3,4,6}:{(34,1),(44,1),(62,1),(65,1),(66,1),(68,1),(91,1),(94,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(35,1),(45,1),(63,1),(66,1)}
        51:{1,4,6}:{(36,1),(37,1),(39,1),(67,1)}
        52:{2,4,6}:{(36,1),(38,1),(40,1),(68,1)}
        53:{1,2,5,6}:{(37,1),(38,1),(41,1),(69,1),(70,1),(103,1),(104,1)}
        54:{1,3,5,7}:{(39,1),(43,1),(61,1),(67,1),(71,1),(73,1)}
        55:{2,3,5,7}:{(40,1),(44,1),(62,1),(68,1),(72,1),(73,1)}
        56:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(45,1),(63,1),(69,1),(71,1),(72,1),(73,1),(74,1),(95,1),(96,1),(97,1),(103,1),(104,1)}
        57:{3,5,7}:{(41,1),(42,1),(70,1),(74,1)}
        58:{1,2,4,7}:{(43,1),(64,1),(71,1),(75,1),(96,1)}
        59:{1,2,4,7}:{(44,1),(65,1),(72,1),(76,1),(97,1)}
        60:{3,7}:{(45,1),(66,1)}
        61:{1,3,5}:{(46,1),(48,1),(77,1),(79,1),(102,1)}
        62:{2,3,5}:{(47,1),(49,1),(78,1),(79,1),(102,1)}
        63:{1,2,4,5}:{(46,1),(47,1),(50,1),(77,1),(78,1),(79,1),(98,1),(99,1)}
        64:{1,2,4,6}:{(48,1),(58,1),(77,1),(80,1),(82,1),(98,1),(100,1)}
        65:{1,2,4,6}:{(49,1),(59,1),(78,1),(81,1),(83,1),(99,1),(101,1)}
        66:{3,6}:{(50,1),(60,1),(79,1)}
        67:{1,3,6}:{(51,1),(54,1),(82,1),(84,1)}
        68:{2,3,6}:{(52,1),(55,1),(83,1),(84,1)}
        69:{1,2,4,6}:{(51,1),(52,1),(53,1),(56,1),(82,1),(83,1),(84,1),(85,1),(100,1),(101,1)}
        70:{3,5,6}:{(53,1),(57,1),(84,1),(85,1),(102,1)}
        71:{1,2,5,7}:{(54,1),(58,1),(77,1),(82,1),(86,1)}
        72:{1,2,5,7}:{(55,1),(59,1),(78,1),(83,1),(87,1)}
        73:{3,5,7}:{(56,1),(60,1),(79,1),(84,1),(88,1),(102,1)}
        74:{4,7}:{(57,1),(85,1)}
        75:{2,3,7}:{(58,1),(60,1),(80,1)}
        76:{1,3,7}:{(59,1),(60,1),(81,1)}
        77:{1,2,5}:{(61,1),(64,1),(89,1),(103,1)}
        78:{1,2,5}:{(62,1),(65,1),(90,1),(104,1)}
        79:{3,5}:{(63,1),(66,1),(91,1)}
        80:{2,3,6}:{(64,1),(66,1),(75,1),(89,1)}
        81:{1,3,6}:{(65,1),(66,1),(76,1),(90,1)}
        82:{1,2,6}:{(67,1),(71,1),(92,1)}
        83:{1,2,6}:{(68,1),(72,1),(93,1)}
        84:{3,6}:{(69,1),(73,1)}
        85:{4,6}:{(70,1),(74,1),(95,1)}
        86:{2,3,5,7}:{(71,1),(73,1),(75,1),(89,1),(92,1),(96,1),(103,1)}
        87:{1,3,5,7}:{(72,1),(73,1),(76,1),(90,1),(93,1),(97,1),(104,1)}
        88:{3,4,7}:{(73,1),(74,1),(91,1),(94,1),(96,1),(97,1)}
        89:{2,3,5}:{(77,1),(79,1),(80,1),(98,1)}
        90:{1,3,5}:{(78,1),(79,1),(81,1),(99,1)}
        91:{3,4}:{(79,1),(98,1),(99,1)}
        92:{2,3,6}:{(82,1),(84,1),(86,1),(100,1)}
        93:{1,3,6}:{(83,1),(84,1),(87,1),(101,1)}
        94:{3,4,6}:{(84,1),(85,1),(88,1),(100,1),(101,1),(102,1)}
        95:{4,5}:{(85,1),(102,1)}
        96:{2,4,7}:{(86,1),(88,1),(98,1),(100,1)}
        97:{1,4,7}:{(87,1),(88,1),(99,1),(101,1)}
        98:{2,4}:{(89,1),(91,1)}
        99:{1,4}:{(90,1),(91,1)}
       100:{2,4,6}:{(92,1),(94,1),(96,1),(103,1)}
       101:{1,4,6}:{(93,1),(94,1),(97,1),(104,1)}
       102:{3,5}:{(94,1),(95,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{1,5}:{(101,1),(102,1)}

 750 :  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:{3,4,5}:{(2,1),(7,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
        6:{1,2,3,7}:{(3,1),(9,1)}
        7:{3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,5,6}:{(5,1),(10,1),(12,1)}
        9:{1,2,4,7}:{(5,1),(6,1),(11,1),(12,1)}
       10:{3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{3,4,7}:{(7,1),(9,1),(14,1)}
       12:{1,2,5,7}:{(8,1),(9,1),(14,1),(15,1)}
       13:{4,5,6}:{(10,1),(16,1)}
       14:{3,5,7}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
       15:{1,2,6,7}:{(12,1),(17,1)}
       16:{4,5,7}:{(13,1),(14,1),(18,1)}
       17:{3,6,7}:{(14,1),(15,1),(18,1)}
       18:{4,6,7}:{(16,1),(17,1),(19,1)}
       19:{5,6,7}:{(18,1)}

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

 752 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(16,1),(17,1),(20,1),(21,1),(36,1),(68,1),(95,1),(96,1),(103,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(118,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(18,1),(19,1),(20,1),(130,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(15,1),(68,1),(97,1),(129,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(26,1),(27,1),(28,1)}
         5:{3,5,7}:{(2,1),(3,1),(9,1),(136,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(58,1),(62,1),(84,1),(92,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(58,1),(62,1),(83,1),(91,1),(111,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(34,1),(35,1),(36,1),(65,1),(102,1)}
         9:{3,5,6}:{(4,1),(5,1),(15,1)}
        10:{3,4,5,7}:{(5,1),(15,1),(18,1),(19,1),(45,1),(97,1),(106,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1),(45,1),(109,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(45,1),(108,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(41,1),(46,1),(107,1)}
        14:{3,5,6,7}:{(8,1),(9,1),(22,1),(82,1),(117,1)}
        15:{3,4,6}:{(9,1),(10,1),(26,1),(27,1),(58,1)}
        16:{1,3,5,6}:{(9,1),(11,1),(26,1),(28,1),(58,1)}
        17:{2,3,5,6}:{(9,1),(12,1),(27,1),(28,1),(58,1)}
        18:{1,4,5,7}:{(10,1),(11,1),(26,1),(112,1),(120,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(27,1),(111,1),(119,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(28,1),(121,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(58,1),(83,1),(84,1),(90,1)}
        22:{3,4,6,7}:{(14,1),(15,1),(33,1),(34,1),(35,1),(68,1),(97,1),(125,1)}
        23:{1,3,5,6,7}:{(14,1),(16,1),(34,1),(36,1),(63,1),(68,1),(96,1),(128,1)}
        24:{2,3,5,6,7}:{(14,1),(17,1),(35,1),(36,1),(64,1),(68,1),(95,1),(127,1)}
        25:{3,4,5,6}:{(15,1),(33,1),(37,1),(38,1),(72,1),(106,1),(125,1)}
        26:{1,4,6}:{(15,1),(16,1),(18,1)}
        27:{2,4,6}:{(15,1),(17,1),(19,1)}
        28:{1,2,5,6}:{(16,1),(17,1),(20,1),(41,1)}
        29:{1,3,4,5,7}:{(18,1),(39,1),(43,1),(45,1),(63,1),(79,1),(97,1),(106,1),(109,1),(124,1),(137,1)}
        30:{2,3,4,5,7}:{(19,1),(40,1),(44,1),(45,1),(64,1),(78,1),(97,1),(106,1),(108,1),(123,1),(137,1)}
        31:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(41,1),(45,1),(46,1),(76,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(42,1),(45,1),(46,1),(95,1),(96,1)}
        33:{3,4,5,7}:{(22,1),(25,1),(47,1),(48,1),(82,1)}
        34:{1,4,6,7}:{(22,1),(23,1),(26,1),(47,1),(112,1),(134,1)}
        35:{2,4,6,7}:{(22,1),(24,1),(27,1),(48,1),(111,1),(133,1)}
        36:{1,2,5,6,7}:{(23,1),(24,1),(28,1),(51,1),(80,1),(81,1),(135,1)}
        37:{1,4,5,6}:{(25,1),(26,1),(47,1),(53,1),(120,1),(134,1)}
        38:{2,4,5,6}:{(25,1),(27,1),(48,1),(54,1),(119,1),(133,1)}
        39:{1,3,4,6}:{(26,1),(29,1),(53,1),(56,1),(58,1),(89,1),(134,1),(139,1)}
        40:{2,3,4,6}:{(27,1),(30,1),(54,1),(57,1),(58,1),(89,1),(133,1),(139,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(58,1)}
        42:{1,2,3,5,6}:{(28,1),(32,1),(58,1),(59,1),(87,1),(88,1),(90,1),(93,1),(121,1)}
        43:{1,2,4,5,7}:{(29,1),(56,1),(60,1),(80,1),(94,1),(111,1),(119,1),(121,1)}
        44:{1,2,4,5,7}:{(30,1),(57,1),(61,1),(81,1),(94,1),(112,1),(120,1),(121,1)}
        45:{3,5,7}:{(31,1),(58,1),(62,1),(93,1)}
        46:{1,2,4,7}:{(32,1),(59,1),(62,1),(111,1),(112,1)}
        47:{1,4,5,7}:{(33,1),(34,1),(37,1),(63,1)}
        48:{2,4,5,7}:{(33,1),(35,1),(38,1),(64,1)}
        49:{1,3,4,6,7}:{(34,1),(39,1),(63,1),(66,1),(68,1),(97,1)}
        50:{2,3,4,6,7}:{(35,1),(40,1),(64,1),(67,1),(68,1),(97,1)}
        51:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(41,1),(65,1),(68,1),(138,1)}
        52:{1,2,3,5,6,7}:{(36,1),(42,1),(68,1),(69,1),(95,1),(96,1),(98,1),(101,1),(126,1),(127,1),(128,1)}
        53:{1,3,5,6}:{(37,1),(39,1),(63,1),(70,1),(72,1),(109,1)}
        54:{2,3,5,6}:{(38,1),(40,1),(64,1),(71,1),(72,1),(108,1)}
        55:{1,2,4,5,6}:{(37,1),(38,1),(41,1),(65,1),(70,1),(71,1),(72,1),(76,1),(104,1),(105,1),(130,1),(138,1)}
        56:{1,2,4,6}:{(39,1),(43,1),(70,1),(73,1),(104,1)}
        57:{1,2,4,6}:{(40,1),(44,1),(71,1),(74,1),(105,1)}
        58:{3,6}:{(41,1),(45,1)}
        59:{1,2,4,6}:{(42,1),(46,1),(75,1),(76,1),(104,1),(105,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(73,1),(78,1),(108,1),(137,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(74,1),(79,1),(109,1),(137,1)}
        62:{3,4,7}:{(45,1),(46,1),(75,1)}
        63:{1,3,5,7}:{(47,1),(49,1),(53,1),(80,1),(82,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(54,1),(81,1),(82,1)}
        65:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(55,1),(80,1),(81,1),(82,1),(111,1),(112,1)}
        66:{1,2,4,6,7}:{(49,1),(56,1),(80,1),(83,1),(111,1)}
        67:{1,2,4,6,7}:{(50,1),(57,1),(81,1),(84,1),(112,1)}
        68:{3,6,7}:{(51,1),(58,1),(82,1),(139,1)}
        69:{1,2,4,6,7}:{(52,1),(59,1),(85,1),(86,1),(111,1),(112,1),(133,1),(134,1)}
        70:{1,2,5,6}:{(53,1),(56,1),(80,1),(87,1),(121,1)}
        71:{1,2,5,6}:{(54,1),(57,1),(81,1),(88,1),(121,1)}
        72:{3,5,6}:{(55,1),(58,1),(82,1),(89,1),(93,1),(136,1),(139,1)}
        73:{2,3,6}:{(56,1),(58,1),(60,1),(139,1)}
        74:{1,3,6}:{(57,1),(58,1),(61,1),(139,1)}
        75:{3,4,6}:{(58,1),(59,1),(62,1),(93,1)}
        76:{1,2,4,5}:{(59,1),(93,1),(119,1),(120,1),(121,1)}
        77:{1,2,3,5,7}:{(60,1),(61,1),(90,1),(94,1),(121,1)}
        78:{2,3,4,7}:{(60,1),(62,1),(91,1),(94,1),(111,1),(131,1)}
        79:{1,3,4,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(131,1)}
        80:{1,2,5,7}:{(63,1),(66,1),(70,1),(95,1)}
        81:{1,2,5,7}:{(64,1),(67,1),(71,1),(96,1)}
        82:{3,5,7}:{(65,1),(68,1),(72,1),(97,1)}
        83:{2,3,6,7}:{(66,1),(68,1),(73,1),(95,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(74,1),(96,1)}
        85:{3,4,6,7}:{(68,1),(69,1),(75,1),(97,1),(101,1),(125,1)}
        86:{1,2,4,5,7}:{(69,1),(76,1),(101,1),(102,1),(123,1),(124,1),(126,1)}
        87:{2,3,5,6}:{(70,1),(72,1),(73,1),(95,1),(104,1),(108,1)}
        88:{1,3,5,6}:{(71,1),(72,1),(74,1),(96,1),(105,1),(109,1)}
        89:{3,4,6}:{(72,1),(97,1),(104,1),(105,1),(106,1)}
        90:{1,2,3,6}:{(73,1),(74,1),(77,1),(107,1)}
        91:{2,3,4,6}:{(73,1),(75,1),(78,1),(104,1),(107,1),(108,1),(129,1)}
        92:{1,3,4,6}:{(74,1),(75,1),(79,1),(105,1),(107,1),(109,1),(129,1)}
        93:{3,5}:{(75,1),(76,1)}
        94:{1,2,4,7}:{(77,1),(78,1),(79,1),(107,1)}
        95:{2,3,5,7}:{(80,1),(82,1),(83,1),(87,1),(111,1)}
        96:{1,3,5,7}:{(81,1),(82,1),(84,1),(88,1),(112,1)}
        97:{3,4,7}:{(82,1),(89,1),(111,1),(112,1)}
        98:{1,2,3,6,7}:{(83,1),(84,1),(90,1),(110,1),(114,1),(139,1)}
        99:{2,3,4,6,7}:{(83,1),(85,1),(91,1),(111,1),(114,1),(115,1),(131,1),(133,1),(139,1)}
       100:{1,3,4,6,7}:{(84,1),(85,1),(92,1),(112,1),(114,1),(116,1),(131,1),(134,1),(139,1)}
       101:{3,5,7}:{(85,1),(86,1),(93,1),(117,1)}
       102:{1,2,4,5,6}:{(86,1),(117,1),(133,1),(134,1),(135,1)}
       103:{1,2,3,5,6}:{(87,1),(88,1),(90,1),(110,1),(118,1),(121,1),(135,1),(136,1),(139,1)}
       104:{2,4,6}:{(87,1),(89,1),(111,1),(119,1)}
       105:{1,4,6}:{(88,1),(89,1),(112,1),(120,1)}
       106:{3,4,5}:{(89,1),(93,1),(119,1),(120,1),(136,1)}
       107:{1,2,4,6}:{(90,1),(91,1),(92,1),(94,1),(121,1)}
       108:{2,3,5}:{(91,1),(93,1),(119,1),(121,1),(136,1)}
       109:{1,3,5}:{(92,1),(93,1),(120,1),(121,1),(136,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(103,1),(122,1),(126,1),(137,1)}
       111:{2,4,7}:{(95,1),(97,1),(104,1)}
       112:{1,4,7}:{(96,1),(97,1),(105,1)}
       113:{3,4,5,7}:{(97,1),(101,1),(106,1),(123,1),(124,1),(125,1),(137,1)}
       114:{1,2,4,6,7}:{(98,1),(99,1),(100,1),(107,1),(122,1),(126,1),(138,1)}
       115:{2,3,5,7}:{(99,1),(101,1),(108,1),(123,1),(126,1),(127,1),(137,1)}
       116:{1,3,5,7}:{(100,1),(101,1),(109,1),(124,1),(126,1),(128,1),(137,1)}
       117:{3,5,6}:{(101,1),(102,1),(125,1)}
       118:{1,2,4,6}:{(103,1),(104,1),(105,1),(122,1),(129,1),(130,1)}
       119:{2,4,5}:{(104,1),(106,1),(108,1)}
       120:{1,4,5}:{(105,1),(106,1),(109,1)}
       121:{1,2,5}:{(107,1),(108,1),(109,1)}
       122:{1,2,4,7}:{(110,1),(111,1),(112,1),(118,1),(131,1)}
       123:{2,4,5,7}:{(111,1),(113,1),(115,1),(119,1),(133,1)}
       124:{1,4,5,7}:{(112,1),(113,1),(116,1),(120,1),(134,1)}
       125:{3,4,6}:{(113,1),(117,1),(133,1),(134,1),(139,1)}
       126:{1,2,5,7}:{(114,1),(115,1),(116,1),(121,1),(135,1)}
       127:{2,3,5,6}:{(115,1),(117,1),(133,1),(135,1),(139,1)}
       128:{1,3,5,6}:{(116,1),(117,1),(134,1),(135,1),(139,1)}
       129:{3,4,6}:{(118,1),(131,1),(136,1),(139,1)}
       130:{1,2,4,5}:{(118,1),(119,1),(120,1),(121,1),(136,1)}
       131:{3,4,7}:{(122,1),(129,1),(137,1)}
       132:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(126,1),(130,1),(137,1),(138,1)}
       133:{2,4,6}:{(123,1),(125,1),(127,1)}
       134:{1,4,6}:{(124,1),(125,1),(128,1)}
       135:{1,2,5,6}:{(126,1),(127,1),(128,1),(138,1)}
       136:{3,5}:{(129,1),(130,1)}
       137:{3,5,7}:{(131,1),(132,1),(136,1),(139,1)}
       138:{1,2,4,6}:{(132,1),(133,1),(134,1),(135,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

 753 :   0:{1,3,6,7}:{(4,1),(6,1),(7,1),(25,1),(83,1),(121,1),(146,1)}
         1:{1,3,5,6}:{(5,1),(7,1),(8,1),(29,1),(32,1),(34,1),(70,1),(75,1),(83,1),(121,1),(152,1),(168,1)}
         2:{2,3,6,7}:{(4,1),(9,1),(10,1),(25,1),(88,1),(122,1),(147,1)}
         3:{2,3,5,6}:{(5,1),(10,1),(11,1),(29,1),(39,1),(41,1),(70,1),(76,1),(88,1),(122,1),(153,1),(168,1)}
         4:{1,2,6,7}:{(0,1),(2,1),(13,1),(106,1),(109,1),(141,1),(159,1)}
         5:{1,2,5,6}:{(1,1),(3,1),(13,1),(14,1),(58,1),(65,1),(102,1),(106,1),(109,1),(141,1),(162,1)}
         6:{1,4,6,7}:{(0,1),(15,1),(16,1),(18,1),(56,1),(135,1),(137,1),(142,1)}
         7:{1,3,5,7}:{(0,1),(1,1),(13,1),(16,1),(18,1),(46,1),(50,1),(57,1)}
         8:{1,4,6}:{(1,1),(17,1),(18,1),(19,1),(95,1),(97,1),(172,1)}
         9:{2,4,6,7}:{(2,1),(20,1),(21,1),(23,1),(63,1),(132,1),(138,1),(143,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(13,1),(21,1),(23,1),(46,1),(50,1),(64,1)}
        11:{2,4,6}:{(3,1),(22,1),(23,1),(24,1),(95,1),(98,1),(172,1)}
        12:{1,2,4,6,7}:{(4,1),(6,1),(9,1),(25,1),(26,1),(28,1),(30,1),(37,1),(67,1),(71,1),(73,1),(111,1),(154,1)}
        13:{1,2,5,7}:{(4,1),(5,1),(7,1),(10,1),(28,1),(84,1),(89,1)}
        14:{1,2,4,6}:{(5,1),(8,1),(11,1),(27,1),(28,1),(29,1),(36,1),(43,1),(79,1),(120,1)}
        15:{3,4,6,7}:{(6,1),(25,1),(30,1),(31,1),(35,1),(71,1),(82,1),(83,1),(115,1),(117,1),(124,1)}
        16:{1,5,7}:{(6,1),(31,1),(32,1),(152,1)}
        17:{1,4,5}:{(8,1),(34,1),(116,1),(152,1)}
        18:{1,4,7}:{(7,1),(8,1),(35,1),(71,1)}
        19:{3,4,6}:{(8,1),(29,1),(34,1),(35,1),(36,1),(72,1),(83,1)}
        20:{3,4,6,7}:{(9,1),(25,1),(37,1),(38,1),(42,1),(71,1),(87,1),(88,1),(113,1),(117,1),(126,1)}
        21:{2,5,7}:{(9,1),(38,1),(39,1),(153,1)}
        22:{2,4,5}:{(11,1),(41,1),(116,1),(153,1)}
        23:{2,4,7}:{(10,1),(11,1),(42,1),(71,1)}
        24:{3,4,6}:{(11,1),(29,1),(41,1),(42,1),(43,1),(72,1),(88,1)}
        25:{3,6,7}:{(12,1),(46,1),(50,1),(99,1),(129,1),(163,1)}
        26:{1,2,5,7}:{(12,1),(16,1),(21,1),(46,1),(47,1),(53,1),(60,1),(162,1)}
        27:{1,2,4,5}:{(14,1),(17,1),(22,1),(49,1),(58,1),(65,1),(97,1),(98,1),(102,1),(162,1),(172,1)}
        28:{1,2,4,7}:{(13,1),(14,1),(18,1),(23,1),(50,1),(59,1),(66,1),(103,1)}
        29:{3,6}:{(14,1),(49,1),(50,1),(140,1)}
        30:{2,4,6,7}:{(15,1),(45,1),(53,1),(59,1),(94,1),(104,1),(106,1),(138,1)}
        31:{3,5,7}:{(15,1),(16,1),(53,1),(54,1),(55,1),(136,1)}
        32:{1,5,6}:{(16,1),(54,1),(56,1),(142,1)}
        33:{1,4,5,7}:{(16,1),(17,1),(18,1),(55,1),(56,1),(57,1)}
        34:{3,5}:{(17,1),(19,1),(58,1)}
        35:{3,4,7}:{(18,1),(19,1),(50,1),(57,1),(59,1)}
        36:{2,4,6}:{(19,1),(52,1),(58,1),(59,1),(98,1),(106,1)}
        37:{1,4,6,7}:{(20,1),(44,1),(60,1),(66,1),(92,1),(107,1),(109,1),(137,1)}
        38:{3,5,7}:{(20,1),(21,1),(60,1),(61,1),(62,1),(136,1)}
        39:{2,5,6}:{(21,1),(61,1),(63,1),(143,1)}
        40:{2,4,5,7}:{(21,1),(22,1),(23,1),(62,1),(63,1),(64,1)}
        41:{3,5}:{(22,1),(24,1),(65,1)}
        42:{3,4,7}:{(23,1),(24,1),(50,1),(64,1),(66,1)}
        43:{1,4,6}:{(24,1),(51,1),(65,1),(66,1),(97,1),(109,1)}
        44:{1,3,6,7}:{(25,1),(37,1),(67,1),(68,1),(77,1),(121,1),(126,1)}
        45:{2,3,6,7}:{(25,1),(30,1),(67,1),(69,1),(78,1),(122,1),(124,1)}
        46:{3,5,7}:{(25,1),(26,1),(70,1),(71,1),(168,1)}
        47:{1,2,5,6}:{(26,1),(32,1),(39,1),(70,1),(73,1),(80,1),(85,1),(152,1),(153,1)}
        48:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(33,1),(40,1),(71,1),(73,1),(74,1),(81,1),(84,1),(86,1),(89,1),(111,1),(116,1),(118,1),(119,1),(123,1),(125,1),(127,1),(144,1),(152,1),(153,1)}
        49:{3,5}:{(27,1),(29,1),(72,1)}
        50:{3,7}:{(28,1),(29,1)}
        51:{1,3,6}:{(29,1),(43,1),(75,1),(77,1),(79,1)}
        52:{2,3,6}:{(29,1),(36,1),(76,1),(78,1),(79,1)}
        53:{2,5,7}:{(30,1),(31,1),(80,1),(153,1)}
        54:{3,5,6}:{(31,1),(32,1),(80,1),(82,1),(83,1),(124,1)}
        55:{4,5,7}:{(31,1),(71,1),(82,1),(116,1)}
        56:{1,4,6}:{(32,1),(33,1),(82,1),(83,1)}
        57:{3,5,7}:{(33,1),(34,1),(35,1),(83,1),(84,1)}
        58:{2,5}:{(34,1),(36,1)}
        59:{2,4,7}:{(35,1),(36,1),(78,1),(84,1)}
        60:{1,5,7}:{(37,1),(38,1),(85,1),(152,1)}
        61:{3,5,6}:{(38,1),(39,1),(85,1),(87,1),(88,1),(126,1)}
        62:{4,5,7}:{(38,1),(71,1),(87,1),(116,1)}
        63:{2,4,6}:{(39,1),(40,1),(87,1),(88,1)}
        64:{3,5,7}:{(40,1),(41,1),(42,1),(88,1),(89,1)}
        65:{1,5}:{(41,1),(43,1)}
        66:{1,4,7}:{(42,1),(43,1),(77,1),(89,1)}
        67:{1,2,6,7}:{(44,1),(45,1),(90,1),(103,1),(141,1),(142,1),(143,1)}
        68:{1,3,5,7}:{(44,1),(46,1),(60,1),(90,1),(91,1),(92,1),(108,1),(129,1)}
        69:{2,3,5,7}:{(45,1),(46,1),(53,1),(90,1),(93,1),(94,1),(105,1),(129,1)}
        70:{3,5,6}:{(46,1),(47,1),(95,1),(99,1),(136,1)}
        71:{4,7}:{(46,1),(95,1),(172,1)}
        72:{3,4}:{(49,1),(97,1),(98,1),(140,1),(172,1)}
        73:{1,2,4,6}:{(47,1),(48,1),(56,1),(63,1),(95,1),(99,1),(104,1),(106,1),(107,1),(109,1),(137,1),(138,1),(141,1),(142,1),(143,1)}
        74:{3,5,7}:{(48,1),(49,1),(50,1),(96,1),(99,1),(129,1),(136,1),(156,1)}
        75:{1,3,5}:{(49,1),(51,1),(65,1),(97,1),(102,1),(140,1)}
        76:{2,3,5}:{(49,1),(52,1),(58,1),(98,1),(102,1),(140,1)}
        77:{1,3,7}:{(50,1),(51,1),(66,1),(103,1)}
        78:{2,3,7}:{(50,1),(52,1),(59,1),(103,1)}
        79:{1,2,6}:{(51,1),(52,1),(102,1),(103,1)}
        80:{2,5,6}:{(53,1),(54,1),(104,1),(106,1)}
        81:{2,4,5,7}:{(53,1),(55,1),(94,1),(104,1),(105,1),(133,1)}
        82:{4,6}:{(54,1),(55,1)}
        83:{3,6}:{(56,1),(57,1),(106,1)}
        84:{2,5,7}:{(57,1),(58,1),(59,1),(106,1)}
        85:{1,5,6}:{(60,1),(61,1),(107,1),(109,1)}
        86:{1,4,5,7}:{(60,1),(62,1),(92,1),(107,1),(108,1),(130,1)}
        87:{4,6}:{(61,1),(62,1)}
        88:{3,6}:{(63,1),(64,1),(109,1)}
        89:{1,5,7}:{(64,1),(65,1),(66,1),(109,1)}
        90:{1,2,5,7}:{(67,1),(68,1),(69,1),(110,1),(111,1),(125,1),(127,1)}
        91:{1,3,5,6}:{(68,1),(70,1),(85,1),(110,1),(112,1),(121,1),(126,1),(145,1),(148,1),(152,1),(165,1),(168,1)}
        92:{1,4,7}:{(68,1),(71,1),(112,1),(113,1)}
        93:{2,3,5,6}:{(69,1),(70,1),(80,1),(110,1),(114,1),(122,1),(124,1),(145,1),(150,1),(153,1),(166,1),(168,1)}
        94:{2,4,7}:{(69,1),(71,1),(114,1),(115,1)}
        95:{4,6}:{(70,1),(71,1),(116,1)}
        96:{3,4,7}:{(71,1),(72,1),(74,1),(117,1),(118,1),(119,1),(155,1),(164,1)}
        97:{1,4}:{(72,1),(75,1)}
        98:{2,4}:{(72,1),(76,1)}
        99:{3,6}:{(73,1),(74,1)}
       100:{1,3,5,7}:{(74,1),(75,1),(77,1),(89,1),(118,1),(121,1),(123,1),(125,1),(146,1),(152,1),(155,1),(165,1),(168,1)}
       101:{2,3,5,7}:{(74,1),(76,1),(78,1),(84,1),(119,1),(122,1),(123,1),(127,1),(147,1),(153,1),(155,1),(166,1),(168,1)}
       102:{1,2,5}:{(75,1),(76,1),(79,1),(120,1)}
       103:{1,2,7}:{(77,1),(78,1),(79,1)}
       104:{2,4,6}:{(80,1),(81,1),(82,1),(124,1)}
       105:{3,5,7}:{(81,1),(115,1),(124,1),(125,1),(150,1)}
       106:{2,6}:{(83,1),(84,1)}
       107:{1,4,6}:{(85,1),(86,1),(87,1),(126,1)}
       108:{3,5,7}:{(86,1),(113,1),(126,1),(127,1),(148,1)}
       109:{1,6}:{(88,1),(89,1)}
       110:{1,2,5,6}:{(90,1),(91,1),(93,1),(128,1),(141,1),(142,1),(143,1),(160,1),(161,1),(162,1),(171,1)}
       111:{1,2,4,7}:{(90,1),(92,1),(94,1),(128,1),(129,1),(132,1),(135,1),(159,1)}
       112:{1,4,6}:{(91,1),(92,1),(95,1),(130,1),(131,1),(169,1),(172,1)}
       113:{3,4,7}:{(92,1),(108,1),(129,1),(131,1),(132,1)}
       114:{2,4,6}:{(93,1),(94,1),(95,1),(133,1),(134,1),(170,1),(172,1)}
       115:{3,4,7}:{(94,1),(105,1),(129,1),(134,1),(135,1)}
       116:{4,5}:{(95,1),(136,1),(172,1)}
       117:{3,4,6}:{(95,1),(96,1),(99,1),(136,1),(137,1),(138,1),(163,1),(172,1)}
       118:{1,4,7}:{(96,1),(97,1),(100,1),(137,1),(169,1),(172,1)}
       119:{2,4,7}:{(96,1),(98,1),(101,1),(138,1),(170,1),(172,1)}
       120:{1,2,4}:{(97,1),(98,1),(102,1),(140,1)}
       121:{1,3,6}:{(99,1),(100,1),(109,1),(137,1),(141,1),(142,1),(163,1)}
       122:{2,3,6}:{(99,1),(101,1),(106,1),(138,1),(141,1),(143,1),(163,1)}
       123:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(139,1),(141,1),(159,1),(162,1),(171,1)}
       124:{3,6}:{(104,1),(105,1),(142,1)}
       125:{1,5,7}:{(105,1),(135,1),(142,1),(161,1)}
       126:{3,6}:{(107,1),(108,1),(143,1)}
       127:{2,5,7}:{(108,1),(132,1),(143,1),(160,1)}
       128:{1,2,4,6}:{(110,1),(111,1),(112,1),(114,1),(144,1),(145,1),(149,1),(151,1),(167,1),(173,1)}
       129:{3,7}:{(111,1),(145,1)}
       130:{1,4,5}:{(112,1),(116,1),(148,1),(152,1)}
       131:{3,4,6}:{(112,1),(113,1),(126,1),(145,1),(148,1),(149,1),(164,1)}
       132:{2,4,7}:{(113,1),(127,1),(147,1),(149,1)}
       133:{2,4,5}:{(114,1),(116,1),(150,1),(153,1)}
       134:{3,4,6}:{(114,1),(115,1),(124,1),(145,1),(150,1),(151,1),(164,1)}
       135:{1,4,7}:{(115,1),(125,1),(146,1),(151,1)}
       136:{3,5}:{(116,1),(117,1),(152,1),(153,1)}
       137:{1,4,6}:{(117,1),(118,1),(121,1),(152,1)}
       138:{2,4,6}:{(117,1),(119,1),(122,1),(153,1)}
       139:{1,2,4,7}:{(118,1),(119,1),(120,1),(123,1),(154,1),(155,1),(173,1)}
       140:{3}:{(120,1)}
       141:{1,2,6}:{(121,1),(122,1),(123,1)}
       142:{1,6}:{(124,1),(125,1)}
       143:{2,6}:{(126,1),(127,1)}
       144:{1,2,4,5}:{(128,1),(130,1),(133,1),(156,1),(160,1),(161,1),(162,1),(169,1),(170,1),(171,1),(172,1)}
       145:{3,6}:{(128,1),(129,1),(156,1),(174,1)}
       146:{1,3,7}:{(129,1),(135,1),(157,1),(159,1)}
       147:{2,3,7}:{(129,1),(132,1),(158,1),(159,1)}
       148:{3,5}:{(130,1),(131,1),(160,1)}
       149:{2,4,6}:{(131,1),(132,1),(143,1),(158,1),(160,1),(170,1)}
       150:{3,5}:{(133,1),(134,1),(161,1)}
       151:{1,4,6}:{(134,1),(135,1),(142,1),(157,1),(161,1),(169,1)}
       152:{1,5}:{(136,1),(137,1)}
       153:{2,5}:{(136,1),(138,1)}
       154:{1,2,4,6}:{(137,1),(138,1),(139,1),(141,1),(162,1),(163,1),(172,1)}
       155:{3,7}:{(139,1),(140,1),(163,1),(174,1)}
       156:{3,5}:{(144,1),(145,1),(164,1)}
       157:{1,3,6}:{(145,1),(146,1),(151,1),(165,1),(167,1)}
       158:{2,3,6}:{(145,1),(147,1),(149,1),(166,1),(167,1)}
       159:{1,2,7}:{(146,1),(147,1),(167,1)}
       160:{2,5}:{(148,1),(149,1)}
       161:{1,5}:{(150,1),(151,1)}
       162:{1,2,5}:{(152,1),(153,1),(154,1),(168,1)}
       163:{3,6}:{(154,1),(155,1),(168,1)}
       164:{3,4}:{(156,1),(169,1),(170,1),(172,1),(174,1)}
       165:{1,3,5}:{(156,1),(157,1),(161,1),(169,1),(171,1),(174,1)}
       166:{2,3,5}:{(156,1),(158,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,2,6}:{(157,1),(158,1),(159,1),(171,1)}
       168:{3,5}:{(162,1),(163,1),(172,1)}
       169:{1,4}:{(164,1),(165,1)}
       170:{2,4}:{(164,1),(166,1)}
       171:{1,2,5}:{(165,1),(166,1),(167,1),(173,1)}
       172:{4}:{(168,1)}
       173:{1,2,4}:{(169,1),(170,1),(171,1),(174,1)}
       174:{3}:{(173,1)}

 754 :   0:{1,3,5,6}:{(2,1),(3,1),(4,1),(18,1),(22,1),(50,1),(55,1),(56,1),(94,1),(96,1),(125,1),(150,1)}
         1:{2,3,5,6}:{(2,1),(5,1),(6,1),(20,1),(22,1),(51,1),(58,1),(59,1),(95,1),(96,1),(126,1),(150,1)}
         2:{1,2,5,6}:{(0,1),(1,1),(9,1),(10,1),(33,1),(36,1),(72,1),(77,1),(79,1),(112,1),(139,1)}
         3:{1,4,6}:{(0,1),(7,1),(11,1),(12,1),(69,1),(115,1),(159,1)}
         4:{1,3,5,7}:{(0,1),(10,1),(12,1),(13,1),(34,1),(41,1),(45,1),(84,1)}
         5:{2,4,6}:{(1,1),(8,1),(14,1),(15,1),(70,1),(115,1),(159,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(15,1),(16,1),(37,1),(41,1),(48,1),(84,1)}
         7:{1,4,5}:{(3,1),(18,1),(125,1),(127,1)}
         8:{2,4,5}:{(5,1),(20,1),(126,1),(127,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(5,1),(17,1),(22,1),(23,1),(25,1),(28,1),(60,1),(89,1)}
        10:{1,2,5,7}:{(2,1),(4,1),(6,1),(23,1),(24,1),(54,1),(57,1)}
        11:{3,4,6}:{(3,1),(18,1),(22,1),(25,1),(26,1),(49,1),(55,1)}
        12:{1,4,7}:{(3,1),(4,1),(26,1),(104,1)}
        13:{1,3,6,7}:{(4,1),(24,1),(27,1),(55,1),(63,1),(94,1),(157,1)}
        14:{3,4,6}:{(5,1),(20,1),(22,1),(28,1),(29,1),(49,1),(58,1)}
        15:{2,4,7}:{(5,1),(6,1),(29,1),(104,1)}
        16:{2,3,6,7}:{(6,1),(24,1),(30,1),(58,1),(63,1),(95,1),(158,1)}
        17:{1,2,4,5}:{(7,1),(8,1),(9,1),(31,1),(33,1),(36,1),(69,1),(70,1),(72,1),(139,1),(159,1)}
        18:{3,5}:{(7,1),(11,1),(33,1)}
        19:{1,4,5,7}:{(7,1),(12,1),(34,1),(35,1),(45,1),(86,1)}
        20:{3,5}:{(8,1),(14,1),(36,1)}
        21:{2,4,5,7}:{(8,1),(15,1),(37,1),(38,1),(48,1),(88,1)}
        22:{3,6}:{(9,1),(31,1),(41,1),(107,1)}
        23:{1,2,4,7}:{(9,1),(10,1),(12,1),(15,1),(41,1),(43,1),(46,1),(81,1)}
        24:{1,2,6,7}:{(10,1),(13,1),(16,1),(77,1),(79,1),(112,1),(165,1)}
        25:{2,4,6}:{(11,1),(33,1),(40,1),(43,1),(70,1),(77,1)}
        26:{3,4,7}:{(11,1),(12,1),(34,1),(41,1),(43,1)}
        27:{1,4,6,7}:{(12,1),(13,1),(35,1),(44,1),(45,1),(109,1),(145,1),(149,1)}
        28:{1,4,6}:{(14,1),(36,1),(39,1),(46,1),(69,1),(79,1)}
        29:{3,4,7}:{(14,1),(15,1),(37,1),(41,1),(46,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(38,1),(47,1),(48,1),(110,1),(146,1),(148,1)}
        31:{3,5}:{(17,1),(22,1),(49,1)}
        32:{1,2,4,5,7}:{(17,1),(19,1),(21,1),(23,1),(52,1),(53,1),(54,1),(57,1),(64,1),(90,1),(91,1),(93,1),(104,1),(105,1),(106,1),(125,1),(126,1),(127,1),(133,1),(136,1),(137,1),(151,1)}
        33:{2,5}:{(18,1),(25,1)}
        34:{3,5,7}:{(18,1),(19,1),(26,1),(54,1),(55,1)}
        35:{1,4,6}:{(19,1),(55,1),(56,1),(98,1)}
        36:{1,5}:{(20,1),(28,1)}
        37:{3,5,7}:{(20,1),(21,1),(29,1),(57,1),(58,1)}
        38:{2,4,6}:{(21,1),(58,1),(59,1),(100,1)}
        39:{1,3,6}:{(22,1),(28,1),(50,1),(60,1),(61,1)}
        40:{2,3,6}:{(22,1),(25,1),(51,1),(60,1),(62,1)}
        41:{3,7}:{(22,1),(23,1)}
        42:{1,2,4,6,7}:{(23,1),(24,1),(27,1),(30,1),(53,1),(63,1),(64,1),(65,1),(67,1),(101,1),(104,1),(124,1),(133,1)}
        43:{2,4,7}:{(25,1),(26,1),(54,1),(62,1)}
        44:{3,4,6,7}:{(26,1),(27,1),(55,1),(63,1),(65,1),(66,1),(92,1),(98,1),(104,1),(131,1),(135,1)}
        45:{1,5,7}:{(27,1),(56,1),(66,1),(125,1)}
        46:{1,4,7}:{(28,1),(29,1),(57,1),(61,1)}
        47:{3,4,6,7}:{(29,1),(30,1),(58,1),(63,1),(67,1),(68,1),(92,1),(100,1),(104,1),(132,1),(134,1)}
        48:{2,5,7}:{(30,1),(59,1),(68,1),(126,1)}
        49:{3,4}:{(31,1),(69,1),(70,1),(107,1),(159,1)}
        50:{1,3,5}:{(31,1),(36,1),(39,1),(69,1),(72,1),(107,1)}
        51:{2,3,5}:{(31,1),(33,1),(40,1),(70,1),(72,1),(107,1)}
        52:{3,5,7}:{(31,1),(32,1),(41,1),(71,1),(75,1),(111,1),(147,1),(160,1)}
        53:{1,2,4,6}:{(32,1),(35,1),(38,1),(75,1),(76,1),(77,1),(79,1),(109,1),(110,1),(112,1),(115,1),(116,1),(117,1),(145,1),(146,1)}
        54:{2,5,7}:{(33,1),(34,1),(43,1),(77,1)}
        55:{3,6}:{(34,1),(35,1),(77,1)}
        56:{1,5,6}:{(35,1),(45,1),(78,1),(145,1)}
        57:{1,5,7}:{(36,1),(37,1),(46,1),(79,1)}
        58:{3,6}:{(37,1),(38,1),(79,1)}
        59:{2,5,6}:{(38,1),(48,1),(80,1),(146,1)}
        60:{1,2,6}:{(39,1),(40,1),(72,1),(81,1)}
        61:{1,3,7}:{(39,1),(41,1),(46,1),(81,1)}
        62:{2,3,7}:{(40,1),(41,1),(43,1),(81,1)}
        63:{3,6,7}:{(41,1),(42,1),(75,1),(84,1),(138,1),(147,1)}
        64:{1,2,5,7}:{(42,1),(45,1),(48,1),(76,1),(84,1),(85,1),(87,1),(139,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(77,1),(83,1),(85,1),(110,1),(116,1),(120,1)}
        66:{3,5,7}:{(44,1),(45,1),(78,1),(85,1),(86,1),(111,1)}
        67:{1,4,6,7}:{(46,1),(47,1),(79,1),(82,1),(87,1),(109,1),(117,1),(119,1)}
        68:{3,5,7}:{(47,1),(48,1),(80,1),(87,1),(88,1),(111,1)}
        69:{1,4}:{(49,1),(50,1)}
        70:{2,4}:{(49,1),(51,1)}
        71:{3,4,7}:{(49,1),(52,1),(90,1),(91,1),(92,1),(104,1),(123,1),(166,1)}
        72:{1,2,5}:{(50,1),(51,1),(60,1),(89,1)}
        73:{1,3,5,7}:{(50,1),(52,1),(57,1),(61,1),(90,1),(93,1),(94,1),(123,1),(125,1),(136,1),(150,1),(157,1),(167,1)}
        74:{2,3,5,7}:{(51,1),(52,1),(54,1),(62,1),(91,1),(93,1),(95,1),(123,1),(126,1),(137,1),(150,1),(158,1),(168,1)}
        75:{3,6}:{(52,1),(53,1)}
        76:{1,2,5,6}:{(53,1),(56,1),(59,1),(64,1),(96,1),(97,1),(99,1),(125,1),(126,1)}
        77:{2,6}:{(54,1),(55,1)}
        78:{3,5,6}:{(55,1),(56,1),(66,1),(97,1),(98,1),(131,1)}
        79:{1,6}:{(57,1),(58,1)}
        80:{3,5,6}:{(58,1),(59,1),(68,1),(99,1),(100,1),(132,1)}
        81:{1,2,7}:{(60,1),(61,1),(62,1)}
        82:{1,3,6,7}:{(61,1),(63,1),(67,1),(94,1),(101,1),(102,1),(132,1)}
        83:{2,3,6,7}:{(62,1),(63,1),(65,1),(95,1),(101,1),(103,1),(131,1)}
        84:{3,5,7}:{(63,1),(64,1),(96,1),(104,1),(150,1)}
        85:{2,5,7}:{(65,1),(66,1),(97,1),(126,1)}
        86:{4,5,7}:{(66,1),(98,1),(104,1),(127,1)}
        87:{1,5,7}:{(67,1),(68,1),(99,1),(125,1)}
        88:{4,5,7}:{(68,1),(100,1),(104,1),(127,1)}
        89:{1,2,4}:{(69,1),(70,1),(72,1),(107,1)}
        90:{1,4,7}:{(69,1),(71,1),(73,1),(109,1),(159,1),(170,1)}
        91:{2,4,7}:{(70,1),(71,1),(74,1),(110,1),(159,1),(171,1)}
        92:{3,4,6}:{(71,1),(75,1),(109,1),(110,1),(111,1),(115,1),(138,1),(159,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(81,1),(108,1),(112,1),(139,1),(165,1),(172,1)}
        94:{1,3,6}:{(73,1),(75,1),(79,1),(109,1),(112,1),(138,1),(145,1)}
        95:{2,3,6}:{(74,1),(75,1),(77,1),(110,1),(112,1),(138,1),(146,1)}
        96:{3,5,6}:{(75,1),(76,1),(84,1),(111,1),(115,1)}
        97:{2,5,6}:{(77,1),(78,1),(85,1),(116,1)}
        98:{4,6}:{(78,1),(86,1)}
        99:{1,5,6}:{(79,1),(80,1),(87,1),(117,1)}
       100:{4,6}:{(80,1),(88,1)}
       101:{1,2,6,7}:{(81,1),(82,1),(83,1),(112,1),(118,1),(145,1),(146,1)}
       102:{1,3,5,7}:{(82,1),(84,1),(87,1),(113,1),(118,1),(119,1),(122,1),(147,1)}
       103:{2,3,5,7}:{(83,1),(84,1),(85,1),(114,1),(118,1),(120,1),(121,1),(147,1)}
       104:{4,7}:{(84,1),(115,1),(159,1)}
       105:{2,4,5,7}:{(85,1),(86,1),(116,1),(120,1),(121,1),(141,1)}
       106:{1,4,5,7}:{(87,1),(88,1),(117,1),(119,1),(122,1),(140,1)}
       107:{3}:{(89,1)}
       108:{1,2,4,7}:{(89,1),(90,1),(91,1),(93,1),(123,1),(124,1),(173,1)}
       109:{1,4,6}:{(90,1),(92,1),(94,1),(125,1)}
       110:{2,4,6}:{(91,1),(92,1),(95,1),(126,1)}
       111:{3,5}:{(92,1),(125,1),(126,1),(127,1)}
       112:{1,2,6}:{(93,1),(94,1),(95,1)}
       113:{1,3,5,6}:{(94,1),(96,1),(99,1),(102,1),(125,1),(128,1),(129,1),(132,1),(150,1),(152,1),(154,1),(167,1)}
       114:{2,3,5,6}:{(95,1),(96,1),(97,1),(103,1),(126,1),(128,1),(130,1),(131,1),(150,1),(153,1),(154,1),(168,1)}
       115:{4,6}:{(96,1),(104,1),(127,1)}
       116:{2,4,6}:{(97,1),(98,1),(105,1),(131,1)}
       117:{1,4,6}:{(99,1),(100,1),(106,1),(132,1)}
       118:{1,2,5,7}:{(101,1),(102,1),(103,1),(128,1),(133,1),(136,1),(137,1)}
       119:{1,4,7}:{(102,1),(104,1),(129,1),(134,1)}
       120:{2,4,7}:{(103,1),(104,1),(130,1),(135,1)}
       121:{3,5,7}:{(105,1),(131,1),(135,1),(136,1),(153,1)}
       122:{3,5,7}:{(106,1),(132,1),(134,1),(137,1),(152,1)}
       123:{3,7}:{(107,1),(108,1),(138,1),(174,1)}
       124:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(138,1),(139,1),(159,1)}
       125:{1,5}:{(109,1),(111,1)}
       126:{2,5}:{(110,1),(111,1)}
       127:{4,5}:{(111,1),(115,1),(159,1)}
       128:{1,2,5,6}:{(112,1),(113,1),(114,1),(118,1),(139,1),(142,1),(145,1),(146,1),(161,1),(162,1),(172,1)}
       129:{1,4,6}:{(113,1),(115,1),(119,1),(140,1),(143,1),(159,1),(170,1)}
       130:{2,4,6}:{(114,1),(115,1),(120,1),(141,1),(144,1),(159,1),(171,1)}
       131:{3,6}:{(116,1),(121,1),(145,1)}
       132:{3,6}:{(117,1),(122,1),(146,1)}
       133:{1,2,4,7}:{(118,1),(119,1),(120,1),(142,1),(147,1),(148,1),(149,1),(165,1)}
       134:{3,4,7}:{(119,1),(122,1),(143,1),(147,1),(148,1)}
       135:{3,4,7}:{(120,1),(121,1),(144,1),(147,1),(149,1)}
       136:{1,5,7}:{(121,1),(145,1),(149,1),(162,1)}
       137:{2,5,7}:{(122,1),(146,1),(148,1),(161,1)}
       138:{3,6}:{(123,1),(124,1),(150,1)}
       139:{1,2,5}:{(124,1),(125,1),(126,1),(150,1)}
       140:{1,4,5}:{(125,1),(127,1),(129,1),(152,1)}
       141:{2,4,5}:{(126,1),(127,1),(130,1),(153,1)}
       142:{1,2,4,6}:{(128,1),(129,1),(130,1),(133,1),(151,1),(154,1),(155,1),(156,1),(169,1),(173,1)}
       143:{3,4,6}:{(129,1),(132,1),(134,1),(152,1),(154,1),(155,1),(166,1)}
       144:{3,4,6}:{(130,1),(131,1),(135,1),(153,1),(154,1),(156,1),(166,1)}
       145:{1,6}:{(131,1),(136,1)}
       146:{2,6}:{(132,1),(137,1)}
       147:{3,7}:{(133,1),(154,1)}
       148:{2,4,7}:{(134,1),(137,1),(155,1),(158,1)}
       149:{1,4,7}:{(135,1),(136,1),(156,1),(157,1)}
       150:{3,5}:{(138,1),(139,1),(159,1)}
       151:{1,2,4,5}:{(139,1),(140,1),(141,1),(142,1),(159,1),(160,1),(161,1),(162,1),(170,1),(171,1),(172,1)}
       152:{3,5}:{(140,1),(143,1),(161,1)}
       153:{3,5}:{(141,1),(144,1),(162,1)}
       154:{3,6}:{(142,1),(147,1),(160,1),(174,1)}
       155:{2,4,6}:{(143,1),(146,1),(148,1),(161,1),(164,1),(171,1)}
       156:{1,4,6}:{(144,1),(145,1),(149,1),(162,1),(163,1),(170,1)}
       157:{1,3,7}:{(147,1),(149,1),(163,1),(165,1)}
       158:{2,3,7}:{(147,1),(148,1),(164,1),(165,1)}
       159:{4}:{(150,1)}
       160:{3,5}:{(151,1),(154,1),(166,1)}
       161:{2,5}:{(152,1),(155,1)}
       162:{1,5}:{(153,1),(156,1)}
       163:{1,3,6}:{(154,1),(156,1),(157,1),(167,1),(169,1)}
       164:{2,3,6}:{(154,1),(155,1),(158,1),(168,1),(169,1)}
       165:{1,2,7}:{(157,1),(158,1),(169,1)}
       166:{3,4}:{(159,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(160,1),(162,1),(163,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(160,1),(161,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(163,1),(164,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

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

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

 757 :   0:{1,2,3,6}:{(3,1),(4,1),(5,1),(59,1),(117,1)}
         1:{2,3,4,6}:{(3,1),(6,1),(7,1),(23,1),(26,1),(30,1),(59,1),(69,1)}
         2:{1,3,4,6}:{(3,1),(8,1),(9,1),(23,1),(31,1),(35,1),(59,1),(69,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(2,1),(10,1),(11,1),(12,1),(40,1)}
         4:{1,2,3,5}:{(0,1),(10,1),(12,1),(38,1),(91,1),(96,1)}
         5:{1,2,3,7}:{(0,1),(11,1),(89,1),(145,1),(230,1)}
         6:{2,3,5}:{(1,1),(10,1),(15,1),(38,1),(100,1)}
         7:{2,3,4,7}:{(1,1),(11,1),(16,1),(43,1),(47,1),(89,1),(221,1)}
         8:{1,3,5}:{(2,1),(10,1),(18,1),(38,1),(100,1)}
         9:{1,3,4,7}:{(2,1),(11,1),(19,1),(43,1),(54,1),(89,1),(220,1)}
        10:{1,2,5}:{(3,1),(6,1),(8,1)}
        11:{1,2,4,7}:{(3,1),(5,1),(7,1),(9,1),(22,1),(228,1)}
        12:{1,2,4}:{(4,1),(23,1)}
        13:{1,2,3,5,7}:{(4,1),(5,1),(22,1),(24,1),(25,1),(64,1),(70,1),(122,1),(126,1),(174,1)}
        14:{2,3,5,6}:{(6,1),(20,1),(26,1),(27,1),(30,1),(59,1),(71,1),(78,1),(125,1)}
        15:{2,4,5}:{(6,1),(26,1),(28,1),(130,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(22,1),(29,1),(30,1),(64,1),(210,1),(226,1)}
        17:{1,3,5,6}:{(8,1),(20,1),(31,1),(32,1),(35,1),(59,1),(79,1),(86,1),(125,1)}
        18:{1,4,5}:{(8,1),(31,1),(33,1),(130,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(22,1),(34,1),(35,1),(64,1),(209,1),(225,1)}
        20:{1,2,5,6}:{(10,1),(14,1),(17,1),(36,1),(37,1),(40,1),(101,1),(109,1)}
        21:{1,2,4,5}:{(10,1),(12,1),(15,1),(18,1),(36,1),(38,1),(49,1),(56,1),(91,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(16,1),(19,1),(40,1),(222,1),(229,1)}
        23:{3,4}:{(12,1),(38,1)}
        24:{1,2,4,7}:{(12,1),(13,1),(43,1),(44,1),(192,1)}
        25:{1,2,3,6}:{(13,1),(40,1),(44,1),(94,1),(149,1)}
        26:{2,4,6}:{(14,1),(15,1),(46,1),(47,1),(152,1)}
        27:{2,3,5,7}:{(14,1),(37,1),(47,1),(48,1),(89,1),(102,1),(106,1),(148,1)}
        28:{3,4,5}:{(15,1),(38,1),(46,1),(49,1)}
        29:{2,4,5,7}:{(15,1),(16,1),(47,1),(50,1),(51,1),(106,1),(194,1),(216,1)}
        30:{2,3,6}:{(16,1),(40,1),(51,1),(94,1)}
        31:{1,4,6}:{(17,1),(18,1),(53,1),(54,1),(152,1)}
        32:{1,3,5,7}:{(17,1),(37,1),(54,1),(55,1),(89,1),(110,1),(114,1),(148,1)}
        33:{3,4,5}:{(18,1),(38,1),(53,1),(56,1)}
        34:{1,4,5,7}:{(18,1),(19,1),(54,1),(57,1),(58,1),(114,1),(195,1),(217,1)}
        35:{1,3,6}:{(19,1),(40,1),(58,1),(94,1)}
        36:{1,2,4,6}:{(20,1),(21,1),(26,1),(31,1),(59,1),(60,1),(73,1),(81,1),(117,1)}
        37:{1,2,5,7}:{(20,1),(27,1),(32,1),(60,1),(61,1),(131,1),(138,1)}
        38:{3,5}:{(21,1),(23,1),(59,1)}
        39:{1,2,4,5,7}:{(21,1),(22,1),(24,1),(29,1),(34,1),(60,1),(64,1),(65,1),(70,1),(76,1),(84,1),(121,1),(122,1),(130,1),(170,1),(175,1),(202,1)}
        40:{1,2,6}:{(22,1),(30,1),(35,1)}
        41:{1,3,4}:{(23,1),(62,1),(66,1)}
        42:{2,3,4}:{(23,1),(63,1),(66,1)}
        43:{3,4,7}:{(23,1),(24,1),(64,1),(69,1),(170,1),(208,1)}
        44:{1,2,4,6}:{(24,1),(25,1),(69,1),(70,1)}
        45:{2,4,5,6}:{(26,1),(71,1),(72,1),(78,1),(137,1)}
        46:{3,4,6}:{(26,1),(28,1),(59,1),(71,1),(73,1),(74,1)}
        47:{2,4,7}:{(26,1),(27,1),(74,1),(170,1)}
        48:{2,3,6,7}:{(27,1),(30,1),(61,1),(75,1),(120,1),(132,1),(226,1)}
        49:{1,4,5}:{(28,1),(62,1),(73,1)}
        50:{3,4,5,7}:{(28,1),(29,1),(64,1),(74,1),(76,1),(77,1),(130,1),(135,1),(170,1),(176,1),(203,1)}
        51:{2,4,6}:{(29,1),(30,1),(77,1),(78,1)}
        52:{1,4,5,6}:{(31,1),(79,1),(80,1),(86,1),(144,1)}
        53:{3,4,6}:{(31,1),(33,1),(59,1),(79,1),(81,1),(82,1)}
        54:{1,4,7}:{(31,1),(32,1),(82,1),(170,1)}
        55:{1,3,6,7}:{(32,1),(35,1),(61,1),(83,1),(120,1),(139,1),(225,1)}
        56:{2,4,5}:{(33,1),(63,1),(81,1)}
        57:{3,4,5,7}:{(33,1),(34,1),(64,1),(82,1),(84,1),(85,1),(130,1),(142,1),(170,1),(177,1),(204,1)}
        58:{1,4,6}:{(34,1),(35,1),(85,1),(86,1)}
        59:{3,6}:{(36,1),(38,1),(89,1)}
        60:{1,2,4,7}:{(36,1),(37,1),(47,1),(54,1),(89,1),(104,1),(112,1),(145,1)}
        61:{1,2,6,7}:{(37,1),(40,1),(48,1),(55,1),(157,1),(162,1),(229,1)}
        62:{1,3,5}:{(38,1),(41,1),(49,1),(87,1),(91,1)}
        63:{2,3,5}:{(38,1),(42,1),(56,1),(88,1),(91,1)}
        64:{3,5,7}:{(38,1),(39,1),(43,1),(89,1),(94,1),(100,1),(193,1),(215,1)}
        65:{1,2,4,6}:{(39,1),(40,1),(51,1),(58,1),(94,1),(95,1),(107,1),(115,1),(149,1),(152,1)}
        66:{1,2,4}:{(41,1),(42,1),(91,1),(96,1)}
        67:{1,3,4,7}:{(41,1),(43,1),(92,1),(97,1),(98,1),(187,1),(215,1)}
        68:{2,3,4,7}:{(42,1),(43,1),(93,1),(97,1),(99,1),(188,1),(215,1)}
        69:{3,4,6}:{(43,1),(44,1),(94,1),(100,1),(152,1)}
        70:{1,2,5}:{(44,1),(100,1)}
        71:{3,5,6}:{(45,1),(46,1),(101,1),(102,1)}
        72:{2,4,5,7}:{(45,1),(47,1),(102,1),(103,1),(106,1),(160,1)}
        73:{1,4,6}:{(46,1),(49,1),(87,1),(101,1),(104,1)}
        74:{3,4,7}:{(46,1),(47,1),(89,1),(102,1),(104,1)}
        75:{2,4,6,7}:{(47,1),(48,1),(51,1),(105,1),(106,1),(216,1),(223,1)}
        76:{1,4,5,7}:{(49,1),(50,1),(92,1),(104,1),(107,1),(155,1),(159,1),(187,1)}
        77:{3,4,6}:{(50,1),(51,1),(94,1),(107,1),(108,1),(152,1)}
        78:{2,5,6}:{(51,1),(106,1),(108,1)}
        79:{3,5,6}:{(52,1),(53,1),(109,1),(110,1)}
        80:{1,4,5,7}:{(52,1),(54,1),(110,1),(111,1),(114,1),(165,1)}
        81:{2,4,6}:{(53,1),(56,1),(88,1),(109,1),(112,1)}
        82:{3,4,7}:{(53,1),(54,1),(89,1),(110,1),(112,1)}
        83:{1,4,6,7}:{(54,1),(55,1),(58,1),(113,1),(114,1),(217,1),(224,1)}
        84:{2,4,5,7}:{(56,1),(57,1),(93,1),(112,1),(115,1),(156,1),(164,1),(188,1)}
        85:{3,4,6}:{(57,1),(58,1),(94,1),(115,1),(116,1),(152,1)}
        86:{1,5,6}:{(58,1),(114,1),(116,1)}
        87:{1,3,6}:{(59,1),(62,1),(73,1),(117,1),(118,1)}
        88:{2,3,6}:{(59,1),(63,1),(81,1),(117,1),(119,1)}
        89:{3,7}:{(59,1),(60,1)}
        90:{1,2,4,6,7}:{(60,1),(61,1),(65,1),(75,1),(83,1),(120,1),(121,1),(134,1),(141,1),(167,1),(170,1),(202,1)}
        91:{1,2,5}:{(62,1),(63,1),(66,1),(117,1)}
        92:{1,3,5,7}:{(62,1),(64,1),(67,1),(76,1),(118,1),(122,1),(123,1),(128,1)}
        93:{2,3,5,7}:{(63,1),(64,1),(68,1),(84,1),(119,1),(122,1),(124,1),(129,1)}
        94:{3,6}:{(64,1),(65,1)}
        95:{1,2,5,6}:{(65,1),(70,1),(78,1),(86,1),(121,1),(125,1),(136,1),(143,1)}
        96:{1,2,3}:{(66,1)}
        97:{1,2,4,7}:{(66,1),(67,1),(68,1),(122,1),(126,1),(127,1)}
        98:{1,3,4,6}:{(67,1),(69,1),(123,1),(127,1),(128,1),(172,1),(205,1),(208,1)}
        99:{2,3,4,6}:{(68,1),(69,1),(124,1),(127,1),(129,1),(173,1),(205,1),(208,1)}
       100:{3,5}:{(69,1),(70,1),(130,1)}
       101:{1,5,6}:{(71,1),(73,1),(131,1)}
       102:{3,5,7}:{(71,1),(72,1),(74,1),(131,1),(132,1)}
       103:{2,4,6,7}:{(72,1),(132,1),(133,1),(179,1)}
       104:{1,4,7}:{(73,1),(74,1),(118,1),(131,1)}
       105:{3,4,6,7}:{(74,1),(75,1),(77,1),(120,1),(132,1),(134,1),(135,1),(170,1),(179,1),(203,1),(211,1)}
       106:{2,5,7}:{(75,1),(78,1),(135,1)}
       107:{1,4,6}:{(76,1),(77,1),(123,1),(136,1)}
       108:{3,5,6}:{(77,1),(78,1),(135,1),(136,1),(137,1)}
       109:{2,5,6}:{(79,1),(81,1),(138,1)}
       110:{3,5,7}:{(79,1),(80,1),(82,1),(138,1),(139,1)}
       111:{1,4,6,7}:{(80,1),(139,1),(140,1),(183,1)}
       112:{2,4,7}:{(81,1),(82,1),(119,1),(138,1)}
       113:{3,4,6,7}:{(82,1),(83,1),(85,1),(120,1),(139,1),(141,1),(142,1),(170,1),(183,1),(204,1),(213,1)}
       114:{1,5,7}:{(83,1),(86,1),(142,1)}
       115:{2,4,6}:{(84,1),(85,1),(124,1),(143,1)}
       116:{3,5,6}:{(85,1),(86,1),(142,1),(143,1),(144,1)}
       117:{1,2,6}:{(87,1),(88,1),(91,1),(145,1)}
       118:{1,3,7}:{(87,1),(89,1),(104,1),(145,1)}
       119:{2,3,7}:{(88,1),(89,1),(112,1),(145,1)}
       120:{3,6,7}:{(89,1),(90,1),(94,1),(148,1),(215,1)}
       121:{1,2,5,7}:{(90,1),(95,1),(106,1),(114,1),(148,1),(159,1),(164,1)}
       122:{1,2,5,7}:{(91,1),(92,1),(93,1),(97,1),(145,1),(149,1),(154,1)}
       123:{1,3,6}:{(92,1),(94,1),(107,1),(149,1)}
       124:{2,3,6}:{(93,1),(94,1),(115,1),(149,1)}
       125:{3,5,6}:{(94,1),(95,1),(100,1),(148,1),(152,1)}
       126:{1,2,3,7}:{(96,1),(97,1),(153,1),(215,1),(229,1)}
       127:{1,2,4,6}:{(97,1),(98,1),(99,1),(149,1),(153,1),(154,1),(192,1)}
       128:{1,3,5}:{(98,1),(100,1),(154,1),(155,1),(193,1)}
       129:{2,3,5}:{(99,1),(100,1),(154,1),(156,1),(193,1)}
       130:{4,5}:{(100,1),(152,1)}
       131:{1,5,7}:{(101,1),(102,1),(104,1),(157,1)}
       132:{3,6,7}:{(102,1),(103,1),(157,1)}
       133:{2,5,6,7}:{(103,1),(106,1),(158,1),(223,1)}
       134:{1,4,6,7}:{(104,1),(105,1),(107,1),(146,1),(157,1),(159,1),(187,1)}
       135:{3,5,7}:{(105,1),(106,1),(108,1),(159,1),(160,1)}
       136:{1,5,6}:{(107,1),(108,1),(159,1)}
       137:{4,5,6}:{(108,1),(152,1),(160,1)}
       138:{2,5,7}:{(109,1),(110,1),(112,1),(162,1)}
       139:{3,6,7}:{(110,1),(111,1),(162,1)}
       140:{1,5,6,7}:{(111,1),(114,1),(163,1),(224,1)}
       141:{2,4,6,7}:{(112,1),(113,1),(115,1),(147,1),(162,1),(164,1),(188,1)}
       142:{3,5,7}:{(113,1),(114,1),(116,1),(164,1),(165,1)}
       143:{2,5,6}:{(115,1),(116,1),(164,1)}
       144:{4,5,6}:{(116,1),(152,1),(165,1)}
       145:{1,2,7}:{(117,1),(118,1),(119,1)}
       146:{1,3,6,7}:{(118,1),(120,1),(123,1),(134,1),(167,1),(168,1),(211,1)}
       147:{2,3,6,7}:{(119,1),(120,1),(124,1),(141,1),(167,1),(169,1),(213,1)}
       148:{3,5,7}:{(120,1),(121,1),(125,1),(170,1)}
       149:{1,2,6}:{(122,1),(123,1),(124,1)}
       150:{1,3,5,6}:{(123,1),(125,1),(128,1),(136,1),(168,1),(171,1),(172,1),(181,1),(205,1)}
       151:{2,3,5,6}:{(124,1),(125,1),(129,1),(143,1),(169,1),(171,1),(173,1),(185,1),(205,1)}
       152:{4,6}:{(125,1),(130,1),(170,1)}
       153:{1,2,3,6}:{(126,1),(127,1),(174,1),(205,1),(227,1)}
       154:{1,2,5}:{(127,1),(128,1),(129,1)}
       155:{1,4,5}:{(128,1),(130,1),(172,1),(176,1)}
       156:{2,4,5}:{(129,1),(130,1),(173,1),(177,1)}
       157:{1,6,7}:{(131,1),(132,1)}
       158:{3,5,6,7}:{(132,1),(133,1),(135,1),(178,1),(179,1),(211,1)}
       159:{1,5,7}:{(134,1),(135,1),(136,1)}
       160:{4,5,7}:{(135,1),(137,1),(170,1),(179,1)}
       161:{1,4,5,6}:{(136,1),(137,1),(172,1),(180,1),(181,1)}
       162:{2,6,7}:{(138,1),(139,1)}
       163:{3,5,6,7}:{(139,1),(140,1),(142,1),(182,1),(183,1),(213,1)}
       164:{2,5,7}:{(141,1),(142,1),(143,1)}
       165:{4,5,7}:{(142,1),(144,1),(170,1),(183,1)}
       166:{2,4,5,6}:{(143,1),(144,1),(173,1),(184,1),(185,1)}
       167:{1,2,6,7}:{(145,1),(146,1),(147,1),(149,1),(186,1),(223,1),(224,1)}
       168:{1,3,5,7}:{(146,1),(148,1),(150,1),(159,1),(186,1),(187,1),(197,1),(215,1)}
       169:{2,3,5,7}:{(147,1),(148,1),(151,1),(164,1),(186,1),(188,1),(200,1),(215,1)}
       170:{4,7}:{(148,1),(152,1)}
       171:{1,2,5,6}:{(149,1),(150,1),(151,1),(154,1),(186,1),(189,1),(198,1),(201,1)}
       172:{1,4,6}:{(150,1),(152,1),(155,1),(187,1),(190,1)}
       173:{2,4,6}:{(151,1),(152,1),(156,1),(188,1),(191,1)}
       174:{1,2,3,5}:{(153,1),(154,1),(192,1),(193,1),(222,1),(230,1)}
       175:{1,2,4,5}:{(154,1),(155,1),(156,1),(189,1),(192,1),(193,1),(194,1),(195,1),(222,1)}
       176:{3,4,5}:{(155,1),(190,1),(193,1),(194,1)}
       177:{3,4,5}:{(156,1),(191,1),(193,1),(195,1)}
       178:{1,5,6,7}:{(157,1),(158,1),(159,1),(196,1)}
       179:{4,6,7}:{(158,1),(160,1)}
       180:{1,4,5,7}:{(159,1),(160,1),(161,1),(187,1),(196,1),(197,1)}
       181:{3,5,6}:{(161,1),(190,1),(197,1),(198,1)}
       182:{2,5,6,7}:{(162,1),(163,1),(164,1),(199,1)}
       183:{4,6,7}:{(163,1),(165,1)}
       184:{2,4,5,7}:{(164,1),(165,1),(166,1),(188,1),(199,1),(200,1)}
       185:{3,5,6}:{(166,1),(191,1),(200,1),(201,1)}
       186:{1,2,5,7}:{(167,1),(168,1),(169,1),(171,1),(202,1),(212,1),(214,1)}
       187:{1,4,7}:{(168,1),(170,1),(172,1),(203,1)}
       188:{2,4,7}:{(169,1),(170,1),(173,1),(204,1)}
       189:{1,2,4,6}:{(171,1),(172,1),(173,1),(175,1),(202,1),(205,1),(206,1),(207,1),(227,1)}
       190:{3,4,6}:{(172,1),(176,1),(181,1),(203,1),(205,1),(206,1)}
       191:{3,4,6}:{(173,1),(177,1),(185,1),(204,1),(205,1),(207,1)}
       192:{1,2,4}:{(174,1),(208,1)}
       193:{3,5}:{(175,1),(205,1),(208,1)}
       194:{2,4,5}:{(176,1),(206,1),(210,1)}
       195:{1,4,5}:{(177,1),(207,1),(209,1)}
       196:{1,4,6,7}:{(178,1),(179,1),(180,1),(211,1)}
       197:{3,5,7}:{(180,1),(181,1),(203,1),(211,1),(212,1)}
       198:{2,5,6}:{(181,1),(206,1),(212,1)}
       199:{2,4,6,7}:{(182,1),(183,1),(184,1),(213,1)}
       200:{3,5,7}:{(184,1),(185,1),(204,1),(213,1),(214,1)}
       201:{1,5,6}:{(185,1),(207,1),(214,1)}
       202:{1,2,4,7}:{(186,1),(187,1),(188,1),(189,1),(215,1),(216,1),(217,1),(229,1)}
       203:{3,4,7}:{(187,1),(190,1),(197,1),(215,1),(216,1)}
       204:{3,4,7}:{(188,1),(191,1),(200,1),(215,1),(217,1)}
       205:{3,6}:{(189,1),(193,1),(215,1)}
       206:{2,4,6}:{(190,1),(194,1),(198,1),(216,1),(219,1)}
       207:{1,4,6}:{(191,1),(195,1),(201,1),(217,1),(218,1)}
       208:{3,4}:{(192,1),(193,1)}
       209:{1,3,5}:{(193,1),(195,1),(218,1),(220,1),(222,1)}
       210:{2,3,5}:{(193,1),(194,1),(219,1),(221,1),(222,1)}
       211:{3,6,7}:{(196,1),(197,1),(223,1)}
       212:{2,5,7}:{(197,1),(198,1),(216,1),(223,1)}
       213:{3,6,7}:{(199,1),(200,1),(224,1)}
       214:{1,5,7}:{(200,1),(201,1),(217,1),(224,1)}
       215:{3,7}:{(202,1),(205,1)}
       216:{2,4,7}:{(203,1),(206,1),(212,1),(226,1)}
       217:{1,4,7}:{(204,1),(207,1),(214,1),(225,1)}
       218:{1,3,6}:{(205,1),(207,1),(209,1),(225,1),(227,1)}
       219:{2,3,6}:{(205,1),(206,1),(210,1),(226,1),(227,1)}
       220:{1,3,4}:{(208,1),(209,1),(228,1)}
       221:{2,3,4}:{(208,1),(210,1),(228,1)}
       222:{1,2,5}:{(209,1),(210,1),(227,1),(228,1)}
       223:{2,6,7}:{(211,1),(212,1)}
       224:{1,6,7}:{(213,1),(214,1)}
       225:{1,3,7}:{(215,1),(217,1),(218,1),(229,1)}
       226:{2,3,7}:{(215,1),(216,1),(219,1),(229,1)}
       227:{1,2,6}:{(218,1),(219,1),(222,1),(229,1)}
       228:{1,2,4}:{(220,1),(221,1),(222,1),(230,1)}
       229:{1,2,7}:{(225,1),(226,1),(227,1)}
       230:{1,2,3}:{(228,1)}

 758 :   0:{1,2,3,7}:{(4,1),(5,1),(138,1),(196,1),(222,1)}
         1:{2,3,4,7}:{(4,1),(6,1),(7,1),(21,1),(82,1),(138,1),(189,1)}
         2:{1,3,4,7}:{(4,1),(8,1),(9,1),(21,1),(90,1),(138,1),(188,1)}
         3:{1,2,3,5,7}:{(0,1),(10,1),(11,1),(12,1),(14,1),(37,1),(40,1),(43,1),(93,1),(95,1)}
         4:{1,2,4,7}:{(0,1),(1,1),(2,1),(12,1),(13,1),(209,1)}
         5:{1,2,3,6}:{(0,1),(13,1),(14,1),(105,1),(172,1)}
         6:{2,3,5,7}:{(1,1),(12,1),(15,1),(16,1),(17,1),(40,1),(208,1),(228,1)}
         7:{2,3,4,6}:{(1,1),(13,1),(16,1),(17,1),(41,1),(47,1),(53,1),(105,1)}
         8:{1,3,5,7}:{(2,1),(12,1),(18,1),(19,1),(20,1),(40,1),(207,1),(227,1)}
         9:{1,3,4,6}:{(2,1),(13,1),(19,1),(20,1),(41,1),(47,1),(60,1),(105,1)}
        10:{1,2,4,7}:{(3,1),(21,1),(23,1),(26,1),(129,1)}
        11:{1,2,3,6}:{(3,1),(23,1),(24,1),(68,1),(127,1)}
        12:{1,2,5,7}:{(4,1),(6,1),(8,1),(24,1),(25,1),(221,1),(230,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(7,1),(9,1),(24,1),(25,1),(26,1)}
        14:{1,2,3,5}:{(5,1),(25,1),(26,1),(74,1),(141,1),(142,1)}
        15:{2,4,5,7}:{(6,1),(27,1),(28,1),(31,1),(80,1),(82,1),(195,1),(224,1)}
        16:{2,3,6}:{(6,1),(24,1),(28,1),(68,1)}
        17:{2,3,5}:{(7,1),(25,1),(31,1),(69,1),(74,1)}
        18:{1,4,5,7}:{(8,1),(32,1),(33,1),(36,1),(88,1),(90,1),(192,1),(223,1)}
        19:{1,3,6}:{(8,1),(24,1),(33,1),(68,1)}
        20:{1,3,5}:{(9,1),(25,1),(36,1),(69,1),(74,1)}
        21:{3,4,7}:{(10,1),(40,1),(41,1),(47,1),(162,1),(169,1)}
        22:{1,2,4,5,7}:{(10,1),(12,1),(15,1),(18,1),(40,1),(42,1),(43,1),(46,1),(48,1),(55,1),(93,1),(102,1),(103,1),(104,1),(161,1),(169,1),(205,1)}
        23:{1,2,4,6}:{(10,1),(11,1),(41,1),(43,1)}
        24:{1,2,6}:{(12,1),(16,1),(19,1)}
        25:{1,2,5}:{(13,1),(17,1),(20,1)}
        26:{1,2,4}:{(14,1),(47,1)}
        27:{3,4,5,7}:{(15,1),(40,1),(48,1),(49,1),(54,1),(102,1),(111,1),(116,1),(168,1),(169,1),(212,1)}
        28:{2,4,6}:{(15,1),(16,1),(49,1),(51,1)}
        29:{2,3,6,7}:{(16,1),(44,1),(50,1),(52,1),(100,1),(177,1),(228,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(45,1),(51,1),(52,1),(53,1),(101,1),(105,1),(115,1)}
        31:{2,4,5}:{(17,1),(53,1),(54,1),(102,1)}
        32:{3,4,5,7}:{(18,1),(40,1),(55,1),(56,1),(61,1),(102,1),(120,1),(125,1),(165,1),(169,1),(210,1)}
        33:{1,4,6}:{(18,1),(19,1),(56,1),(58,1)}
        34:{1,3,6,7}:{(19,1),(44,1),(57,1),(59,1),(100,1),(183,1),(227,1)}
        35:{1,3,5,6}:{(19,1),(20,1),(45,1),(58,1),(59,1),(60,1),(101,1),(105,1),(124,1)}
        36:{1,4,5}:{(20,1),(60,1),(61,1),(102,1)}
        37:{1,2,3,7}:{(62,1),(63,1),(142,1),(218,1),(230,1)}
        38:{2,3,4,7}:{(21,1),(62,1),(64,1),(65,1),(76,1),(190,1),(218,1)}
        39:{1,3,4,7}:{(21,1),(62,1),(66,1),(67,1),(75,1),(193,1),(218,1)}
        40:{3,5,7}:{(21,1),(22,1),(68,1),(69,1),(74,1),(138,1),(187,1),(218,1)}
        41:{3,4,6}:{(21,1),(23,1),(68,1),(69,1),(137,1)}
        42:{1,2,4,6}:{(22,1),(24,1),(28,1),(33,1),(68,1),(71,1),(77,1),(85,1),(127,1),(137,1)}
        43:{1,2,5}:{(23,1),(69,1)}
        44:{1,2,6,7}:{(24,1),(29,1),(34,1),(72,1),(200,1),(204,1),(230,1)}
        45:{1,2,5,6}:{(24,1),(25,1),(30,1),(35,1),(72,1),(73,1),(149,1),(157,1)}
        46:{1,2,4,5}:{(25,1),(26,1),(31,1),(36,1),(73,1),(74,1),(84,1),(92,1),(141,1)}
        47:{3,4}:{(26,1),(74,1)}
        48:{1,4,5,7}:{(27,1),(66,1),(77,1),(84,1),(135,1),(143,1),(150,1),(193,1)}
        49:{3,4,6}:{(27,1),(28,1),(68,1),(77,1),(79,1),(137,1)}
        50:{2,4,6,7}:{(28,1),(29,1),(78,1),(80,1),(82,1),(224,1),(225,1)}
        51:{2,5,6}:{(28,1),(79,1),(80,1)}
        52:{2,3,5,7}:{(29,1),(30,1),(72,1),(80,1),(82,1),(136,1),(138,1),(148,1)}
        53:{2,4,6}:{(30,1),(31,1),(82,1),(83,1),(137,1)}
        54:{3,4,5}:{(31,1),(74,1),(83,1),(84,1)}
        55:{2,4,5,7}:{(32,1),(64,1),(85,1),(92,1),(132,1),(151,1),(158,1),(190,1)}
        56:{3,4,6}:{(32,1),(33,1),(68,1),(85,1),(87,1),(137,1)}
        57:{1,4,6,7}:{(33,1),(34,1),(86,1),(88,1),(90,1),(223,1),(226,1)}
        58:{1,5,6}:{(33,1),(87,1),(88,1)}
        59:{1,3,5,7}:{(34,1),(35,1),(72,1),(88,1),(90,1),(136,1),(138,1),(156,1)}
        60:{1,4,6}:{(35,1),(36,1),(90,1),(91,1),(137,1)}
        61:{3,4,5}:{(36,1),(74,1),(91,1),(92,1)}
        62:{1,2,4,7}:{(37,1),(38,1),(39,1),(93,1),(94,1),(108,1)}
        63:{1,2,3,6}:{(37,1),(94,1),(95,1),(206,1),(229,1)}
        64:{2,3,5,7}:{(38,1),(40,1),(55,1),(93,1),(96,1),(97,1),(107,1),(171,1)}
        65:{2,3,4,6}:{(38,1),(41,1),(94,1),(96,1),(97,1),(162,1),(164,1),(206,1)}
        66:{1,3,5,7}:{(39,1),(40,1),(48,1),(93,1),(98,1),(99,1),(106,1),(170,1)}
        67:{1,3,4,6}:{(39,1),(41,1),(94,1),(98,1),(99,1),(162,1),(167,1),(206,1)}
        68:{3,6}:{(40,1),(42,1)}
        69:{3,5}:{(41,1),(43,1),(102,1)}
        70:{1,2,4,6,7}:{(42,1),(44,1),(50,1),(57,1),(100,1),(103,1),(104,1),(109,1),(118,1),(159,1),(169,1),(205,1)}
        71:{1,2,5,6}:{(42,1),(43,1),(51,1),(58,1),(101,1),(103,1),(110,1),(119,1)}
        72:{1,2,5,7}:{(44,1),(45,1),(52,1),(59,1),(104,1),(178,1),(184,1)}
        73:{1,2,4,6}:{(45,1),(46,1),(53,1),(60,1),(104,1),(105,1),(117,1),(126,1),(172,1)}
        74:{3,5}:{(46,1),(47,1),(105,1)}
        75:{1,3,4}:{(47,1),(106,1),(108,1)}
        76:{2,3,4}:{(47,1),(107,1),(108,1)}
        77:{1,4,6}:{(48,1),(49,1),(98,1),(110,1)}
        78:{3,4,6,7}:{(49,1),(50,1),(100,1),(109,1),(111,1),(116,1),(169,1),(176,1),(177,1),(212,1),(214,1)}
        79:{3,5,6}:{(49,1),(51,1),(110,1),(111,1),(112,1)}
        80:{2,5,7}:{(50,1),(51,1),(111,1)}
        81:{2,4,5,6}:{(51,1),(53,1),(112,1),(114,1),(115,1)}
        82:{2,4,7}:{(52,1),(53,1),(116,1),(169,1)}
        83:{3,4,6}:{(53,1),(54,1),(105,1),(115,1),(116,1),(117,1)}
        84:{1,4,5}:{(54,1),(106,1),(117,1)}
        85:{2,4,6}:{(55,1),(56,1),(96,1),(119,1)}
        86:{3,4,6,7}:{(56,1),(57,1),(100,1),(118,1),(120,1),(125,1),(169,1),(182,1),(183,1),(210,1),(216,1)}
        87:{3,5,6}:{(56,1),(58,1),(119,1),(120,1),(121,1)}
        88:{1,5,7}:{(57,1),(58,1),(120,1)}
        89:{1,4,5,6}:{(58,1),(60,1),(121,1),(123,1),(124,1)}
        90:{1,4,7}:{(59,1),(60,1),(125,1),(169,1)}
        91:{3,4,6}:{(60,1),(61,1),(105,1),(124,1),(125,1),(126,1)}
        92:{2,4,5}:{(61,1),(107,1),(126,1)}
        93:{1,2,5,7}:{(62,1),(64,1),(66,1),(127,1),(128,1),(141,1),(196,1)}
        94:{1,2,4,6}:{(62,1),(63,1),(65,1),(67,1),(127,1),(128,1),(129,1)}
        95:{1,2,3,5}:{(63,1),(128,1),(129,1),(187,1),(221,1),(222,1)}
        96:{2,3,6}:{(64,1),(68,1),(85,1),(127,1)}
        97:{2,3,5}:{(65,1),(69,1),(128,1),(132,1),(187,1)}
        98:{1,3,6}:{(66,1),(68,1),(77,1),(127,1)}
        99:{1,3,5}:{(67,1),(69,1),(128,1),(135,1),(187,1)}
       100:{3,6,7}:{(68,1),(70,1),(136,1),(138,1),(218,1)}
       101:{3,5,6}:{(68,1),(69,1),(71,1),(136,1),(137,1)}
       102:{4,5}:{(69,1),(137,1)}
       103:{1,2,5,7}:{(70,1),(71,1),(80,1),(88,1),(136,1),(143,1),(151,1)}
       104:{1,2,4,7}:{(72,1),(73,1),(82,1),(90,1),(138,1),(150,1),(158,1),(196,1)}
       105:{3,6}:{(73,1),(74,1),(138,1)}
       106:{1,3,5}:{(74,1),(75,1),(84,1),(139,1),(141,1)}
       107:{2,3,5}:{(74,1),(76,1),(92,1),(140,1),(141,1)}
       108:{1,2,4}:{(75,1),(76,1),(141,1),(142,1)}
       109:{1,4,6,7}:{(77,1),(78,1),(133,1),(143,1),(150,1),(193,1),(200,1)}
       110:{1,5,6}:{(77,1),(79,1),(143,1)}
       111:{3,5,7}:{(78,1),(79,1),(80,1),(143,1),(146,1)}
       112:{4,5,6}:{(79,1),(137,1),(146,1)}
       113:{2,5,6,7}:{(80,1),(145,1),(147,1),(225,1)}
       114:{2,4,5,7}:{(80,1),(81,1),(82,1),(146,1),(147,1),(148,1)}
       115:{3,5,6}:{(81,1),(83,1),(148,1),(149,1)}
       116:{3,4,7}:{(82,1),(83,1),(138,1),(148,1),(150,1)}
       117:{1,4,6}:{(83,1),(84,1),(139,1),(149,1),(150,1)}
       118:{2,4,6,7}:{(85,1),(86,1),(130,1),(151,1),(158,1),(190,1),(204,1)}
       119:{2,5,6}:{(85,1),(87,1),(151,1)}
       120:{3,5,7}:{(86,1),(87,1),(88,1),(151,1),(154,1)}
       121:{4,5,6}:{(87,1),(137,1),(154,1)}
       122:{1,5,6,7}:{(88,1),(153,1),(155,1),(226,1)}
       123:{1,4,5,7}:{(88,1),(89,1),(90,1),(154,1),(155,1),(156,1)}
       124:{3,5,6}:{(89,1),(91,1),(156,1),(157,1)}
       125:{3,4,7}:{(90,1),(91,1),(138,1),(156,1),(158,1)}
       126:{2,4,6}:{(91,1),(92,1),(140,1),(157,1),(158,1)}
       127:{1,2,6}:{(93,1),(96,1),(98,1)}
       128:{1,2,5}:{(94,1),(97,1),(99,1)}
       129:{1,2,4}:{(95,1),(162,1)}
       130:{2,3,6,7}:{(96,1),(100,1),(118,1),(159,1),(163,1),(171,1),(216,1)}
       131:{2,3,5,6}:{(96,1),(97,1),(101,1),(119,1),(160,1),(163,1),(164,1),(181,1),(206,1)}
       132:{2,4,5}:{(97,1),(102,1),(164,1),(165,1)}
       133:{1,3,6,7}:{(98,1),(100,1),(109,1),(159,1),(166,1),(170,1),(214,1)}
       134:{1,3,5,6}:{(98,1),(99,1),(101,1),(110,1),(160,1),(166,1),(167,1),(175,1),(206,1)}
       135:{1,4,5}:{(99,1),(102,1),(167,1),(168,1)}
       136:{3,5,7}:{(100,1),(101,1),(103,1),(169,1)}
       137:{4,6}:{(101,1),(102,1),(169,1)}
       138:{3,7}:{(104,1),(105,1)}
       139:{1,3,6}:{(105,1),(106,1),(117,1),(170,1),(172,1)}
       140:{2,3,6}:{(105,1),(107,1),(126,1),(171,1),(172,1)}
       141:{1,2,5}:{(106,1),(107,1),(108,1),(172,1)}
       142:{1,2,3}:{(108,1)}
       143:{1,5,7}:{(109,1),(110,1),(111,1)}
       144:{1,4,5,6}:{(110,1),(112,1),(167,1),(174,1),(175,1)}
       145:{3,5,6,7}:{(111,1),(113,1),(173,1),(176,1),(177,1),(214,1)}
       146:{4,5,7}:{(111,1),(112,1),(169,1),(176,1)}
       147:{2,4,6,7}:{(113,1),(114,1),(176,1),(177,1)}
       148:{3,5,7}:{(114,1),(115,1),(116,1),(177,1),(178,1)}
       149:{1,5,6}:{(115,1),(117,1),(178,1)}
       150:{1,4,7}:{(116,1),(117,1),(170,1),(178,1)}
       151:{2,5,7}:{(118,1),(119,1),(120,1)}
       152:{2,4,5,6}:{(119,1),(121,1),(164,1),(180,1),(181,1)}
       153:{3,5,6,7}:{(120,1),(122,1),(179,1),(182,1),(183,1),(216,1)}
       154:{4,5,7}:{(120,1),(121,1),(169,1),(182,1)}
       155:{1,4,6,7}:{(122,1),(123,1),(182,1),(183,1)}
       156:{3,5,7}:{(123,1),(124,1),(125,1),(183,1),(184,1)}
       157:{2,5,6}:{(124,1),(126,1),(184,1)}
       158:{2,4,7}:{(125,1),(126,1),(171,1),(184,1)}
       159:{1,2,6,7}:{(127,1),(130,1),(133,1),(185,1),(196,1),(225,1),(226,1)}
       160:{1,2,5,6}:{(127,1),(128,1),(131,1),(134,1),(185,1),(186,1),(199,1),(203,1)}
       161:{1,2,4,5}:{(128,1),(129,1),(132,1),(135,1),(186,1),(187,1),(192,1),(195,1),(221,1)}
       162:{3,4}:{(129,1),(187,1)}
       163:{2,3,5,7}:{(130,1),(131,1),(136,1),(151,1),(185,1),(190,1),(202,1),(218,1)}
       164:{2,4,6}:{(131,1),(132,1),(137,1),(190,1),(191,1)}
       165:{3,4,5}:{(132,1),(187,1),(191,1),(192,1)}
       166:{1,3,5,7}:{(133,1),(134,1),(136,1),(143,1),(185,1),(193,1),(198,1),(218,1)}
       167:{1,4,6}:{(134,1),(135,1),(137,1),(193,1),(194,1)}
       168:{3,4,5}:{(135,1),(187,1),(194,1),(195,1)}
       169:{4,7}:{(136,1),(137,1)}
       170:{1,3,7}:{(138,1),(139,1),(150,1),(196,1)}
       171:{2,3,7}:{(138,1),(140,1),(158,1),(196,1)}
       172:{1,2,6}:{(139,1),(140,1),(141,1),(196,1)}
       173:{1,5,6,7}:{(143,1),(145,1),(197,1),(200,1)}
       174:{1,4,5,7}:{(143,1),(144,1),(146,1),(193,1),(197,1),(198,1)}
       175:{3,5,6}:{(144,1),(194,1),(198,1),(199,1)}
       176:{4,6,7}:{(145,1),(146,1)}
       177:{3,6,7}:{(147,1),(148,1),(200,1)}
       178:{1,5,7}:{(148,1),(149,1),(150,1),(200,1)}
       179:{2,5,6,7}:{(151,1),(153,1),(201,1),(204,1)}
       180:{2,4,5,7}:{(151,1),(152,1),(154,1),(190,1),(201,1),(202,1)}
       181:{3,5,6}:{(152,1),(191,1),(202,1),(203,1)}
       182:{4,6,7}:{(153,1),(154,1)}
       183:{3,6,7}:{(155,1),(156,1),(204,1)}
       184:{2,5,7}:{(156,1),(157,1),(158,1),(204,1)}
       185:{1,2,5,7}:{(159,1),(160,1),(163,1),(166,1),(205,1),(215,1),(217,1)}
       186:{1,2,4,6}:{(160,1),(161,1),(164,1),(167,1),(205,1),(206,1),(211,1),(213,1),(229,1)}
       187:{3,5}:{(161,1),(162,1),(206,1)}
       188:{1,3,4}:{(162,1),(207,1),(209,1)}
       189:{2,3,4}:{(162,1),(208,1),(209,1)}
       190:{2,4,7}:{(163,1),(164,1),(169,1),(210,1)}
       191:{3,4,6}:{(164,1),(165,1),(181,1),(206,1),(210,1),(211,1)}
       192:{1,4,5}:{(165,1),(207,1),(211,1)}
       193:{1,4,7}:{(166,1),(167,1),(169,1),(212,1)}
       194:{3,4,6}:{(167,1),(168,1),(175,1),(206,1),(212,1),(213,1)}
       195:{2,4,5}:{(168,1),(208,1),(213,1)}
       196:{1,2,7}:{(170,1),(171,1),(172,1)}
       197:{1,4,6,7}:{(173,1),(174,1),(176,1),(214,1)}
       198:{3,5,7}:{(174,1),(175,1),(212,1),(214,1),(215,1)}
       199:{2,5,6}:{(175,1),(213,1),(215,1)}
       200:{1,6,7}:{(177,1),(178,1)}
       201:{2,4,6,7}:{(179,1),(180,1),(182,1),(216,1)}
       202:{3,5,7}:{(180,1),(181,1),(210,1),(216,1),(217,1)}
       203:{1,5,6}:{(181,1),(211,1),(217,1)}
       204:{2,6,7}:{(183,1),(184,1)}
       205:{1,2,4,7}:{(185,1),(186,1),(190,1),(193,1),(218,1),(223,1),(224,1),(230,1)}
       206:{3,6}:{(186,1),(187,1),(218,1)}
       207:{1,3,5}:{(187,1),(188,1),(192,1),(219,1),(221,1)}
       208:{2,3,5}:{(187,1),(189,1),(195,1),(220,1),(221,1)}
       209:{1,2,4}:{(188,1),(189,1),(221,1),(222,1)}
       210:{3,4,7}:{(190,1),(191,1),(202,1),(218,1),(223,1)}
       211:{1,4,6}:{(191,1),(192,1),(203,1),(219,1),(223,1)}
       212:{3,4,7}:{(193,1),(194,1),(198,1),(218,1),(224,1)}
       213:{2,4,6}:{(194,1),(195,1),(199,1),(220,1),(224,1)}
       214:{3,6,7}:{(197,1),(198,1),(225,1)}
       215:{2,5,7}:{(198,1),(199,1),(224,1),(225,1)}
       216:{3,6,7}:{(201,1),(202,1),(226,1)}
       217:{1,5,7}:{(202,1),(203,1),(223,1),(226,1)}
       218:{3,7}:{(205,1),(206,1)}
       219:{1,3,6}:{(206,1),(207,1),(211,1),(227,1),(229,1)}
       220:{2,3,6}:{(206,1),(208,1),(213,1),(228,1),(229,1)}
       221:{1,2,5}:{(207,1),(208,1),(209,1),(229,1)}
       222:{1,2,3}:{(209,1)}
       223:{1,4,7}:{(210,1),(211,1),(217,1),(227,1)}
       224:{2,4,7}:{(212,1),(213,1),(215,1),(228,1)}
       225:{2,6,7}:{(214,1),(215,1)}
       226:{1,6,7}:{(216,1),(217,1)}
       227:{1,3,7}:{(218,1),(219,1),(223,1),(230,1)}
       228:{2,3,7}:{(218,1),(220,1),(224,1),(230,1)}
       229:{1,2,6}:{(219,1),(220,1),(221,1),(230,1)}
       230:{1,2,7}:{(227,1),(228,1),(229,1)}

 759 :   0:{1,3,5,7}:{(4,1),(5,1),(6,1),(11,1),(27,1),(31,1),(62,1)}
         1:{2,3,5,7}:{(4,1),(7,1),(8,1),(9,1),(27,1),(34,1),(62,1)}
         2:{2,4,5,7}:{(7,1),(9,1),(10,1),(34,1),(36,1),(66,1),(68,1)}
         3:{1,4,5,7}:{(5,1),(11,1),(12,1),(31,1),(40,1),(64,1),(71,1)}
         4:{1,2,5,7}:{(0,1),(1,1),(13,1),(14,1),(20,1),(24,1),(46,1)}
         5:{1,4,7}:{(0,1),(15,1),(16,1),(76,1),(98,1)}
         6:{1,3,6}:{(0,1),(14,1),(16,1),(25,1),(45,1),(102,1)}
         7:{2,4,7}:{(1,1),(17,1),(18,1),(76,1),(97,1)}
         8:{2,3,6}:{(1,1),(14,1),(18,1),(21,1),(45,1),(103,1)}
         9:{3,5,7}:{(2,1),(17,1),(20,1),(21,1),(50,1)}
        10:{2,4,6}:{(2,1),(21,1),(22,1),(54,1)}
        11:{3,5,7}:{(3,1),(15,1),(24,1),(25,1),(48,1)}
        12:{1,4,6}:{(3,1),(25,1),(26,1),(58,1)}
        13:{1,2,4,7}:{(4,1),(5,1),(7,1),(27,1),(28,1),(29,1),(32,1),(59,1)}
        14:{1,2,6}:{(4,1),(6,1),(8,1),(37,1),(41,1),(104,1)}
        15:{3,4,7}:{(5,1),(11,1),(27,1),(29,1),(30,1),(71,1),(90,1)}
        16:{1,4,6}:{(5,1),(6,1),(30,1),(31,1),(91,1),(101,1)}
        17:{3,4,7}:{(7,1),(9,1),(27,1),(32,1),(33,1),(68,1),(88,1)}
        18:{2,4,6}:{(7,1),(8,1),(33,1),(34,1),(89,1),(100,1)}
        19:{2,4,6,7}:{(10,1),(35,1),(36,1),(68,1)}
        20:{1,5,7}:{(9,1),(32,1),(37,1),(65,1)}
        21:{3,6}:{(9,1),(10,1),(37,1)}
        22:{2,5,6}:{(10,1),(34,1),(36,1),(38,1),(89,1)}
        23:{1,4,6,7}:{(12,1),(39,1),(40,1),(71,1)}
        24:{2,5,7}:{(11,1),(29,1),(41,1),(63,1)}
        25:{3,6}:{(11,1),(12,1),(41,1)}
        26:{1,5,6}:{(12,1),(31,1),(40,1),(42,1),(91,1)}
        27:{3,7}:{(13,1),(45,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(16,1),(18,1),(45,1),(46,1),(47,1),(49,1),(73,1),(76,1),(92,1)}
        29:{2,4,7}:{(15,1),(24,1),(44,1),(47,1)}
        30:{3,4,6}:{(15,1),(16,1),(25,1),(45,1),(47,1),(48,1),(58,1),(76,1),(82,1),(94,1)}
        31:{1,5}:{(16,1),(48,1)}
        32:{1,4,7}:{(17,1),(20,1),(43,1),(49,1)}
        33:{3,4,6}:{(17,1),(18,1),(21,1),(45,1),(49,1),(50,1),(54,1),(76,1),(80,1),(93,1)}
        34:{2,5}:{(18,1),(50,1)}
        35:{3,6,7}:{(19,1),(21,1),(51,1),(52,1)}
        36:{2,5,7}:{(19,1),(22,1),(52,1),(97,1)}
        37:{1,6}:{(20,1),(21,1)}
        38:{3,5,6}:{(21,1),(22,1),(50,1),(52,1),(53,1),(54,1),(80,1)}
        39:{3,6,7}:{(23,1),(25,1),(55,1),(56,1)}
        40:{1,5,7}:{(23,1),(26,1),(56,1),(98,1)}
        41:{2,6}:{(24,1),(25,1)}
        42:{3,5,6}:{(25,1),(26,1),(48,1),(56,1),(57,1),(58,1),(82,1)}
        43:{1,3,7}:{(27,1),(32,1),(59,1),(60,1),(88,1)}
        44:{2,3,7}:{(27,1),(29,1),(59,1),(61,1),(90,1)}
        45:{3,6}:{(27,1),(28,1),(62,1),(99,1)}
        46:{1,2,5}:{(28,1),(31,1),(34,1),(62,1),(63,1),(65,1)}
        47:{2,4,6}:{(29,1),(30,1),(41,1),(61,1),(63,1),(85,1)}
        48:{3,5}:{(30,1),(31,1),(63,1),(64,1)}
        49:{1,4,6}:{(32,1),(33,1),(37,1),(60,1),(65,1),(84,1)}
        50:{3,5}:{(33,1),(34,1),(65,1),(66,1)}
        51:{1,6,7}:{(35,1),(37,1),(67,1)}
        52:{3,5,7}:{(35,1),(36,1),(38,1),(67,1),(68,1),(88,1)}
        53:{1,5,6}:{(37,1),(38,1),(65,1),(67,1),(69,1)}
        54:{4,6}:{(38,1),(66,1),(68,1)}
        55:{2,6,7}:{(39,1),(41,1),(70,1)}
        56:{3,5,7}:{(39,1),(40,1),(42,1),(70,1),(71,1),(90,1)}
        57:{2,5,6}:{(41,1),(42,1),(63,1),(70,1),(72,1)}
        58:{4,6}:{(42,1),(64,1),(71,1)}
        59:{1,2,7}:{(43,1),(44,1),(73,1),(97,1),(98,1)}
        60:{1,3,6}:{(43,1),(45,1),(49,1),(73,1),(74,1),(80,1)}
        61:{2,3,6}:{(44,1),(45,1),(47,1),(73,1),(75,1),(82,1)}
        62:{3,5}:{(45,1),(46,1),(76,1)}
        63:{2,5}:{(47,1),(48,1)}
        64:{4,5}:{(48,1),(58,1),(76,1)}
        65:{1,5}:{(49,1),(50,1)}
        66:{4,5}:{(50,1),(54,1),(76,1)}
        67:{1,5,7}:{(51,1),(52,1),(53,1),(79,1)}
        68:{4,7}:{(52,1),(54,1)}
        69:{1,4,6}:{(53,1),(54,1),(78,1),(79,1),(80,1)}
        70:{2,5,7}:{(55,1),(56,1),(57,1),(81,1)}
        71:{4,7}:{(56,1),(58,1)}
        72:{2,4,6}:{(57,1),(58,1),(77,1),(81,1),(82,1)}
        73:{1,2,6}:{(59,1),(60,1),(61,1),(83,1),(89,1),(91,1)}
        74:{1,3,5}:{(60,1),(62,1),(65,1),(83,1),(84,1),(87,1),(99,1)}
        75:{2,3,5}:{(61,1),(62,1),(63,1),(83,1),(85,1),(86,1),(99,1)}
        76:{4}:{(62,1)}
        77:{2,4,5}:{(63,1),(64,1),(72,1),(85,1),(86,1)}
        78:{1,4,5}:{(65,1),(66,1),(69,1),(84,1),(87,1)}
        79:{1,4,7}:{(67,1),(68,1),(69,1),(88,1)}
        80:{3,6}:{(69,1),(87,1),(88,1),(89,1)}
        81:{2,4,7}:{(70,1),(71,1),(72,1),(90,1)}
        82:{3,6}:{(72,1),(86,1),(90,1),(91,1)}
        83:{1,2,5}:{(73,1),(74,1),(75,1),(92,1),(95,1),(96,1)}
        84:{1,4}:{(74,1),(76,1),(93,1)}
        85:{2,4}:{(75,1),(76,1),(94,1)}
        86:{3,5}:{(77,1),(82,1),(94,1),(95,1)}
        87:{3,5}:{(78,1),(80,1),(93,1),(96,1)}
        88:{3,7}:{(79,1),(80,1),(97,1)}
        89:{2,6}:{(80,1),(96,1),(97,1)}
        90:{3,7}:{(81,1),(82,1),(98,1)}
        91:{1,6}:{(82,1),(95,1),(98,1)}
        92:{1,2,4}:{(83,1),(84,1),(85,1),(99,1),(100,1),(101,1),(104,1)}
        93:{3,4}:{(84,1),(87,1),(99,1),(100,1)}
        94:{3,4}:{(85,1),(86,1),(99,1),(101,1)}
        95:{1,5}:{(86,1),(91,1),(101,1)}
        96:{2,5}:{(87,1),(89,1),(100,1)}
        97:{2,7}:{(88,1),(89,1)}
        98:{1,7}:{(90,1),(91,1)}
        99:{3}:{(92,1)}
       100:{2,4}:{(93,1),(96,1),(103,1)}
       101:{1,4}:{(94,1),(95,1),(102,1)}
       102:{1,3}:{(99,1),(101,1),(104,1)}
       103:{2,3}:{(99,1),(100,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

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

 761 :   0:{1,3,4,5,7}:{(1,1),(2,1),(12,1),(25,1),(64,1),(75,1),(77,1),(117,1),(123,1),(134,1)}
         1:{1,2,4,5,7}:{(0,1),(3,1),(4,1),(14,1),(20,1),(45,1),(51,1),(53,1)}
         2:{1,3,4,6}:{(0,1),(4,1),(6,1),(54,1),(144,1),(152,1),(162,1)}
         3:{2,3,5,7}:{(1,1),(8,1),(9,1),(32,1),(123,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(34,1)}
         5:{1,3,4,6,7}:{(2,1),(10,1),(12,1),(38,1),(77,1),(80,1),(137,1)}
         6:{1,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(37,1),(64,1),(185,1)}
         7:{1,2,3,5,7}:{(3,1),(14,1),(15,1),(41,1),(45,1)}
         8:{2,3,4,7}:{(3,1),(14,1),(17,1),(53,1),(95,1)}
         9:{2,3,6}:{(3,1),(4,1),(152,1)}
        10:{1,2,4,6,7}:{(4,1),(5,1),(18,1),(20,1),(53,1)}
        11:{1,2,5,6}:{(4,1),(6,1),(19,1),(20,1),(45,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(56,1),(164,1)}
        13:{1,4,5,6}:{(6,1),(23,1),(24,1),(89,1),(144,1)}
        14:{1,2,4,7}:{(7,1),(8,1),(25,1),(27,1)}
        15:{1,2,3,6}:{(7,1),(9,1),(27,1),(62,1)}
        16:{2,3,4,5,7}:{(8,1),(26,1),(30,1),(32,1),(71,1),(74,1),(118,1),(123,1),(167,1),(172,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(27,1),(32,1),(34,1),(70,1)}
        18:{2,3,6,7}:{(9,1),(10,1),(33,1),(80,1)}
        19:{2,3,5,6}:{(9,1),(11,1),(32,1),(33,1),(34,1),(37,1)}
        20:{1,2,5,7}:{(10,1),(11,1),(12,1),(33,1)}
        21:{1,2,4,5,6}:{(11,1),(13,1),(34,1),(36,1),(37,1),(40,1),(68,1),(78,1),(83,1),(122,1),(132,1),(185,1)}
        22:{1,3,5,6,7}:{(12,1),(35,1),(38,1),(80,1),(84,1),(116,1)}
        23:{1,4,5,7}:{(12,1),(13,1),(38,1),(39,1)}
        24:{3,4,5,6}:{(13,1),(37,1),(39,1),(40,1),(118,1),(171,1)}
        25:{1,3,4,7}:{(14,1),(41,1),(42,1),(95,1),(142,1)}
        26:{1,2,4,5,7}:{(14,1),(16,1),(41,1),(43,1),(45,1),(89,1),(90,1),(142,1)}
        27:{1,2,4,6}:{(14,1),(15,1),(17,1),(42,1),(45,1)}
        28:{1,2,3,6,7}:{(15,1),(18,1),(44,1),(46,1),(86,1),(110,1),(152,1),(196,1),(198,1)}
        29:{1,2,3,5,6}:{(15,1),(19,1),(45,1),(46,1),(47,1),(57,1),(87,1),(92,1),(94,1),(151,1),(152,1),(155,1),(157,1),(198,1)}
        30:{2,3,4,6}:{(16,1),(43,1),(49,1),(101,1),(143,1),(152,1),(193,1)}
        31:{2,3,4,6,7}:{(17,1),(18,1),(44,1),(50,1),(53,1),(95,1),(101,1),(106,1),(152,1)}
        32:{2,3,5}:{(17,1),(45,1),(51,1),(94,1)}
        33:{2,3,5,7}:{(18,1),(19,1),(20,1),(53,1),(56,1)}
        34:{2,4,6}:{(19,1),(51,1),(53,1),(54,1)}
        35:{1,2,5,6,7}:{(20,1),(22,1),(52,1),(55,1),(92,1),(113,1),(164,1)}
        36:{1,2,4,5,7}:{(20,1),(21,1),(23,1),(53,1),(55,1),(56,1),(61,1),(105,1),(107,1),(112,1),(164,1)}
        37:{3,5,6}:{(21,1),(54,1),(56,1),(94,1),(152,1)}
        38:{1,4,6,7}:{(22,1),(23,1),(60,1),(144,1)}
        39:{3,4,5,7}:{(23,1),(24,1),(56,1),(60,1),(61,1)}
        40:{2,4,5,6}:{(24,1),(58,1),(61,1),(147,1),(193,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(62,1),(64,1),(123,1)}
        42:{1,3,4,6}:{(25,1),(27,1),(62,1),(64,1),(70,1),(115,1)}
        43:{1,2,4,6}:{(26,1),(30,1),(62,1),(66,1),(115,1)}
        44:{1,2,4,6,7}:{(27,1),(28,1),(31,1),(63,1),(67,1),(69,1),(122,1),(137,1),(202,1)}
        45:{1,2,5}:{(27,1),(32,1),(64,1)}
        46:{1,2,3,5,7}:{(28,1),(29,1),(33,1),(67,1),(69,1),(81,1),(114,1),(123,1),(176,1),(180,1),(182,1)}
        47:{1,2,4,6}:{(29,1),(34,1),(68,1),(69,1),(70,1),(78,1),(115,1),(169,1)}
        48:{2,3,4,6,7}:{(30,1),(65,1),(71,1),(129,1),(167,1),(174,1),(202,1)}
        49:{2,3,5,6}:{(30,1),(32,1),(66,1),(71,1),(72,1),(121,1),(205,1)}
        50:{2,3,5,7}:{(31,1),(32,1),(67,1),(73,1),(74,1),(123,1),(136,1)}
        51:{2,4,5}:{(32,1),(34,1),(75,1)}
        52:{2,3,5,6,7}:{(33,1),(35,1),(73,1),(76,1),(80,1),(136,1)}
        53:{2,4,7}:{(33,1),(34,1),(77,1)}
        54:{3,4,6}:{(34,1),(37,1),(75,1),(77,1),(78,1)}
        55:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(76,1),(80,1),(85,1),(122,1),(137,1),(140,1)}
        56:{3,5,7}:{(36,1),(37,1),(77,1),(80,1)}
        57:{1,3,5,6}:{(37,1),(78,1),(81,1),(83,1),(124,1),(139,1),(178,1),(185,1)}
        58:{2,3,5,6}:{(37,1),(40,1),(79,1),(82,1),(83,1),(125,1),(179,1)}
        59:{1,4,5,6,7}:{(38,1),(84,1),(170,1)}
        60:{3,4,6,7}:{(38,1),(39,1),(80,1),(84,1),(85,1),(171,1)}
        61:{2,4,5,7}:{(39,1),(40,1),(82,1),(85,1)}
        62:{1,3,6}:{(41,1),(43,1),(152,1)}
        63:{1,3,4,6,7}:{(42,1),(44,1),(86,1),(88,1),(95,1),(142,1),(144,1),(152,1),(188,1)}
        64:{1,3,5}:{(42,1),(45,1),(89,1),(94,1)}
        65:{1,2,4,6,7}:{(43,1),(48,1),(86,1),(90,1),(142,1)}
        66:{1,2,5,6}:{(43,1),(45,1),(49,1),(87,1),(90,1)}
        67:{1,2,5,7}:{(44,1),(45,1),(50,1),(88,1),(92,1),(164,1),(208,1)}
        68:{1,2,4,5}:{(45,1),(47,1),(51,1),(89,1),(94,1),(103,1),(147,1),(155,1)}
        69:{1,2,4,7}:{(46,1),(47,1),(53,1),(95,1),(107,1),(142,1),(190,1)}
        70:{3,4,6}:{(47,1),(94,1),(95,1),(152,1)}
        71:{2,3,5,7}:{(48,1),(49,1),(90,1),(99,1),(149,1),(208,1)}
        72:{2,4,5,6}:{(49,1),(51,1),(99,1),(100,1),(101,1)}
        73:{2,3,5,6}:{(50,1),(92,1),(101,1),(152,1),(161,1)}
        74:{2,4,5,7}:{(50,1),(51,1),(53,1),(101,1),(102,1)}
        75:{3,4,5}:{(51,1),(54,1),(94,1),(103,1)}
        76:{2,4,6,7}:{(52,1),(53,1),(101,1),(105,1),(106,1)}
        77:{3,4,7}:{(53,1),(54,1),(56,1),(107,1)}
        78:{1,4,6}:{(54,1),(57,1),(103,1),(107,1)}
        79:{2,3,4,6}:{(54,1),(58,1),(104,1),(108,1),(109,1)}
        80:{3,6,7}:{(55,1),(56,1),(152,1)}
        81:{1,3,5,7}:{(56,1),(57,1),(107,1),(110,1),(112,1),(164,1),(165,1)}
        82:{2,3,5,7}:{(56,1),(58,1),(61,1),(108,1),(111,1),(112,1)}
        83:{1,2,5,6}:{(57,1),(58,1),(109,1),(112,1),(155,1),(198,1)}
        84:{3,5,6,7}:{(59,1),(60,1),(113,1),(192,1)}
        85:{2,4,6,7}:{(60,1),(61,1),(111,1),(113,1),(193,1)}
        86:{1,3,6,7}:{(62,1),(65,1),(114,1),(174,1)}
        87:{1,3,5,6}:{(62,1),(64,1),(66,1),(114,1),(115,1),(121,1)}
        88:{1,3,5,7}:{(63,1),(64,1),(67,1),(116,1),(117,1),(123,1),(201,1)}
        89:{1,4,5}:{(64,1),(115,1),(118,1)}
        90:{1,2,5,7}:{(65,1),(66,1),(71,1),(114,1)}
        91:{1,2,4,5,6}:{(66,1),(68,1),(72,1),(115,1),(120,1),(121,1),(122,1),(131,1),(169,1),(170,1),(177,1),(205,1)}
        92:{1,2,5,6}:{(67,1),(73,1),(116,1),(122,1),(185,1),(205,1)}
        93:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(74,1),(117,1),(122,1),(123,1),(134,1),(172,1),(180,1)}
        94:{3,5}:{(68,1),(70,1)}
        95:{3,4,7}:{(69,1),(70,1),(123,1)}
        96:{1,3,4,6}:{(70,1),(78,1),(124,1),(126,1),(128,1),(139,1),(178,1),(186,1)}
        97:{2,3,4,6}:{(70,1),(125,1),(127,1),(128,1),(169,1),(179,1),(204,1),(206,1)}
        98:{2,3,5,6,7}:{(71,1),(73,1),(119,1),(129,1),(174,1),(183,1)}
        99:{2,4,5,7}:{(71,1),(72,1),(129,1),(130,1)}
       100:{3,4,5,6}:{(72,1),(75,1),(121,1),(130,1),(131,1),(133,1)}
       101:{2,4,6}:{(73,1),(74,1),(133,1)}
       102:{3,4,5,7}:{(74,1),(75,1),(77,1),(123,1),(133,1),(134,1),(136,1)}
       103:{1,4,5}:{(75,1),(78,1),(124,1)}
       104:{2,3,4,5}:{(75,1),(79,1),(125,1),(135,1),(206,1)}
       105:{2,4,5,7}:{(76,1),(132,1),(136,1)}
       106:{3,4,6,7}:{(76,1),(77,1),(80,1),(133,1),(136,1),(137,1)}
       107:{1,4,7}:{(77,1),(78,1),(81,1)}
       108:{2,3,4,7}:{(77,1),(79,1),(82,1),(138,1)}
       109:{1,2,4,6}:{(78,1),(79,1),(83,1),(135,1),(138,1),(139,1)}
       110:{1,3,6,7}:{(80,1),(81,1),(137,1),(140,1),(178,1)}
       111:{2,3,6,7}:{(80,1),(82,1),(85,1),(140,1),(179,1)}
       112:{1,2,5,7}:{(81,1),(82,1),(83,1),(138,1),(140,1)}
       113:{2,5,6,7}:{(84,1),(85,1),(205,1)}
       114:{1,3,5,7}:{(86,1),(87,1),(90,1),(142,1),(149,1)}
       115:{1,4,6}:{(87,1),(89,1),(142,1),(143,1)}
       116:{1,3,5,6}:{(88,1),(92,1),(144,1),(152,1),(192,1)}
       117:{1,4,5,7}:{(88,1),(89,1),(142,1),(144,1),(145,1)}
       118:{3,4,5}:{(89,1),(94,1),(143,1),(147,1)}
       119:{1,2,5,6,7}:{(90,1),(92,1),(98,1),(141,1),(148,1),(200,1),(208,1)}
       120:{1,2,4,5,7}:{(90,1),(91,1),(99,1),(142,1),(148,1),(149,1),(160,1),(187,1),(190,1),(197,1),(208,1)}
       121:{3,5,6}:{(91,1),(94,1),(143,1),(149,1),(152,1)}
       122:{1,2,4,6}:{(92,1),(93,1),(101,1),(144,1),(152,1),(162,1),(193,1),(198,1)}
       123:{3,5,7}:{(93,1),(94,1),(95,1),(152,1)}
       124:{1,3,5}:{(94,1),(96,1),(103,1),(155,1)}
       125:{2,3,5}:{(94,1),(97,1),(147,1),(155,1)}
       126:{1,3,4,7}:{(95,1),(96,1),(107,1),(153,1),(156,1),(165,1)}
       127:{2,3,4,7}:{(95,1),(97,1),(154,1),(156,1),(190,1),(209,1)}
       128:{1,2,4,6}:{(96,1),(97,1),(155,1),(156,1),(157,1),(198,1),(199,1)}
       129:{2,4,6,7}:{(98,1),(99,1),(101,1),(159,1)}
       130:{3,4,5,7}:{(99,1),(100,1),(149,1),(159,1),(160,1)}
       131:{1,4,5,6}:{(100,1),(103,1),(150,1),(160,1),(162,1)}
       132:{2,4,5,6}:{(101,1),(105,1),(161,1)}
       133:{3,4,6}:{(101,1),(102,1),(152,1),(161,1),(162,1)}
       134:{1,4,5,7}:{(102,1),(103,1),(107,1),(153,1),(162,1),(164,1)}
       135:{1,2,4,5}:{(103,1),(104,1),(109,1),(155,1),(163,1),(199,1)}
       136:{3,5,7}:{(105,1),(106,1),(161,1),(164,1)}
       137:{1,4,6,7}:{(106,1),(107,1),(110,1),(162,1),(164,1)}
       138:{1,2,4,7}:{(107,1),(108,1),(109,1),(112,1),(165,1)}
       139:{1,3,6}:{(109,1),(163,1),(165,1)}
       140:{1,2,6,7}:{(110,1),(111,1),(112,1),(198,1)}
       141:{1,3,5,6,7}:{(114,1),(116,1),(119,1),(166,1),(174,1),(201,1)}
       142:{1,4,7}:{(114,1),(115,1),(167,1)}
       143:{3,4,6}:{(115,1),(118,1),(121,1),(167,1),(169,1)}
       144:{1,4,6}:{(116,1),(117,1),(171,1)}
       145:{3,4,5,7}:{(117,1),(118,1),(123,1),(167,1),(171,1),(172,1),(201,1)}
       146:{1,3,4,5}:{(118,1),(124,1),(168,1),(173,1),(186,1)}
       147:{2,4,5}:{(118,1),(125,1),(169,1)}
       148:{1,2,4,6,7}:{(119,1),(120,1),(122,1),(129,1),(166,1),(174,1),(184,1),(202,1),(207,1)}
       149:{3,5,7}:{(120,1),(121,1),(167,1),(174,1)}
       150:{1,3,5,6}:{(121,1),(124,1),(131,1),(168,1),(175,1),(177,1),(178,1)}
       151:{2,3,5,6}:{(121,1),(125,1),(169,1),(176,1),(177,1),(179,1),(204,1),(205,1)}
       152:{3,6}:{(122,1),(123,1)}
       153:{1,3,5,7}:{(123,1),(124,1),(126,1),(134,1),(178,1),(180,1)}
       154:{2,3,5,7}:{(123,1),(125,1),(127,1),(172,1),(179,1),(180,1)}
       155:{1,2,5}:{(124,1),(125,1),(128,1)}
       156:{1,2,4,7}:{(126,1),(127,1),(128,1),(180,1),(182,1)}
       157:{1,2,3,6}:{(128,1),(139,1),(181,1),(182,1),(204,1)}
       158:{2,4,5,6,7}:{(129,1),(132,1),(183,1)}
       159:{3,4,6,7}:{(129,1),(130,1),(133,1),(174,1),(183,1),(184,1)}
       160:{1,4,5,7}:{(130,1),(131,1),(175,1),(184,1)}
       161:{3,5,6}:{(132,1),(133,1),(136,1),(185,1)}
       162:{1,4,6}:{(133,1),(134,1),(178,1),(185,1)}
       163:{1,3,5}:{(135,1),(139,1),(186,1)}
       164:{1,5,7}:{(136,1),(137,1),(185,1)}
       165:{1,3,7}:{(138,1),(139,1)}
       166:{1,4,6,7}:{(141,1),(142,1),(144,1),(187,1),(188,1)}
       167:{3,4,7}:{(142,1),(143,1),(149,1),(190,1)}
       168:{1,3,4,6}:{(143,1),(146,1),(150,1),(189,1),(191,1)}
       169:{2,4,6}:{(143,1),(147,1),(151,1),(190,1)}
       170:{1,4,5,6}:{(144,1),(187,1),(192,1)}
       171:{3,4,6}:{(144,1),(145,1),(152,1),(192,1),(193,1)}
       172:{2,4,5,7}:{(145,1),(147,1),(154,1),(190,1),(193,1),(208,1)}
       173:{1,2,4,5}:{(146,1),(147,1),(155,1),(191,1),(194,1),(199,1)}
       174:{3,6,7}:{(148,1),(149,1),(152,1)}
       175:{1,3,5,7}:{(149,1),(150,1),(160,1),(189,1),(195,1),(197,1)}
       176:{2,3,5,7}:{(149,1),(151,1),(190,1),(196,1),(197,1),(208,1),(209,1)}
       177:{1,2,5,6}:{(150,1),(151,1),(155,1),(191,1),(197,1),(198,1)}
       178:{1,3,6}:{(152,1),(153,1),(162,1),(198,1)}
       179:{2,3,6}:{(152,1),(154,1),(193,1),(198,1)}
       180:{1,2,5,7}:{(153,1),(154,1),(155,1),(156,1),(198,1)}
       181:{1,2,3,5}:{(155,1),(157,1),(163,1),(194,1),(199,1)}
       182:{1,2,3,7}:{(156,1),(157,1),(165,1),(209,1)}
       183:{3,5,6,7}:{(158,1),(159,1),(161,1),(200,1)}
       184:{1,4,6,7}:{(159,1),(160,1),(162,1),(195,1),(200,1)}
       185:{1,5,6}:{(161,1),(162,1),(164,1)}
       186:{1,3,4}:{(163,1),(199,1)}
       187:{1,4,5,7}:{(166,1),(170,1),(201,1)}
       188:{3,4,6,7}:{(166,1),(167,1),(171,1),(174,1),(201,1),(202,1)}
       189:{1,3,4,7}:{(167,1),(168,1),(175,1),(203,1)}
       190:{2,4,7}:{(167,1),(169,1),(176,1)}
       191:{1,2,4,6}:{(168,1),(169,1),(173,1),(177,1),(203,1),(204,1)}
       192:{3,5,6}:{(170,1),(171,1),(201,1),(205,1)}
       193:{2,4,6}:{(171,1),(172,1),(179,1),(205,1)}
       194:{2,3,5}:{(173,1),(204,1),(206,1)}
       195:{1,3,6,7}:{(174,1),(175,1),(178,1),(184,1),(207,1)}
       196:{2,3,6,7}:{(174,1),(176,1),(179,1),(202,1),(207,1)}
       197:{1,2,5,7}:{(175,1),(176,1),(177,1),(203,1),(207,1)}
       198:{1,2,6}:{(178,1),(179,1),(180,1)}
       199:{1,2,4}:{(181,1),(186,1),(206,1)}
       200:{1,5,6,7}:{(183,1),(184,1),(185,1)}
       201:{3,5,7}:{(187,1),(188,1),(192,1),(208,1)}
       202:{2,4,6,7}:{(188,1),(190,1),(193,1),(196,1),(208,1)}
       203:{1,2,4,7}:{(189,1),(190,1),(191,1),(197,1),(209,1)}
       204:{2,3,6}:{(191,1),(194,1),(209,1)}
       205:{2,5,6}:{(192,1),(193,1),(208,1)}
       206:{2,3,4}:{(194,1),(199,1)}
       207:{1,2,6,7}:{(195,1),(196,1),(197,1),(198,1)}
       208:{2,5,7}:{(201,1),(202,1),(205,1)}
       209:{2,3,7}:{(203,1),(204,1)}

 762 :   0:{1,3,4,5}:{(1,1),(2,1),(30,1),(75,1),(90,1)}
         1:{1,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(62,1)}
         2:{1,2,4,5}:{(0,1),(5,1),(7,1),(18,1),(56,1),(68,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(11,1),(38,1),(128,1),(187,1),(203,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(12,1),(13,1),(38,1),(75,1),(132,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(12,1),(14,1),(15,1),(43,1)}
         6:{1,3,4,7}:{(1,1),(13,1),(15,1),(91,1)}
         7:{2,3,5}:{(2,1),(14,1),(16,1)}
         8:{1,2,3,5}:{(7,1),(17,1),(18,1),(51,1),(56,1)}
         9:{1,4,5,6}:{(3,1),(4,1),(21,1),(100,1),(161,1)}
        10:{2,4,5,6}:{(3,1),(19,1),(22,1),(156,1),(207,1)}
        11:{3,4,5,7}:{(3,1),(21,1),(22,1),(23,1),(63,1),(179,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(24,1),(25,1),(56,1),(114,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(21,1),(25,1),(26,1),(63,1)}
        14:{2,3,6}:{(5,1),(7,1),(28,1)}
        15:{1,2,4,7}:{(5,1),(6,1),(25,1),(28,1),(69,1)}
        16:{2,3,4}:{(7,1),(18,1)}
        17:{1,2,3,6}:{(8,1),(14,1),(33,1),(34,1),(77,1)}
        18:{1,2,4}:{(8,1),(16,1),(30,1)}
        19:{2,3,5,6}:{(10,1),(31,1),(36,1),(37,1),(38,1),(135,1),(193,1)}
        20:{1,2,4,5,6}:{(9,1),(10,1),(12,1),(36,1),(38,1),(39,1),(43,1),(81,1),(87,1),(143,1),(154,1),(201,1),(203,1)}
        21:{1,4,5,7}:{(9,1),(11,1),(13,1),(40,1)}
        22:{2,4,5,7}:{(10,1),(11,1),(37,1),(41,1)}
        23:{3,4,6,7}:{(11,1),(40,1),(41,1),(42,1),(92,1),(152,1),(187,1)}
        24:{2,3,5,6}:{(12,1),(14,1),(38,1),(43,1),(44,1),(46,1),(98,1),(154,1)}
        25:{1,2,5,7}:{(12,1),(13,1),(15,1),(44,1),(45,1)}
        26:{1,3,6,7}:{(13,1),(40,1),(45,1),(92,1),(132,1)}
        27:{2,3,4,6}:{(14,1),(16,1),(33,1),(43,1),(46,1),(47,1),(80,1),(98,1)}
        28:{2,3,7}:{(14,1),(15,1)}
        29:{2,3,4,5}:{(16,1),(35,1),(46,1),(48,1),(128,1)}
        30:{1,3,4}:{(18,1),(51,1)}
        31:{2,3,4,6}:{(19,1),(49,1),(52,1),(53,1),(62,1)}
        32:{1,2,3,5,6}:{(17,1),(24,1),(54,1),(55,1),(56,1),(59,1),(101,1),(104,1),(108,1),(114,1),(163,1),(165,1),(170,1),(173,1),(213,1)}
        33:{1,2,4,6}:{(17,1),(18,1),(27,1),(50,1),(56,1),(57,1),(114,1)}
        34:{1,2,3,7}:{(17,1),(28,1),(57,1),(103,1)}
        35:{1,2,4,5}:{(18,1),(29,1),(51,1),(56,1),(58,1),(100,1)}
        36:{1,2,5,6}:{(19,1),(52,1),(59,1),(60,1),(163,1),(213,1)}
        37:{2,3,5,7}:{(19,1),(22,1),(53,1),(60,1),(61,1),(63,1)}
        38:{3,5,6}:{(20,1),(62,1),(63,1),(108,1),(170,1)}
        39:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(25,1),(60,1),(63,1),(64,1),(69,1),(116,1),(124,1),(176,1),(179,1)}
        40:{1,4,6,7}:{(21,1),(23,1),(26,1),(65,1),(161,1)}
        41:{2,4,6,7}:{(22,1),(23,1),(61,1),(66,1),(207,1)}
        42:{3,5,6,7}:{(23,1),(65,1),(66,1),(67,1),(210,1)}
        43:{2,4,6}:{(24,1),(62,1),(68,1),(69,1)}
        44:{2,3,5,7}:{(24,1),(25,1),(28,1),(63,1),(69,1),(70,1),(124,1)}
        45:{1,2,6,7}:{(25,1),(26,1),(70,1),(114,1)}
        46:{2,3,5}:{(27,1),(56,1),(68,1),(108,1)}
        47:{2,3,4,7}:{(27,1),(28,1),(57,1),(69,1),(72,1),(109,1)}
        48:{2,3,4,6}:{(29,1),(58,1),(71,1),(73,1),(158,1)}
        49:{2,3,4,5}:{(31,1),(74,1),(90,1),(135,1),(181,1)}
        50:{1,3,4,6}:{(30,1),(33,1),(75,1),(76,1),(77,1),(80,1),(129,1),(132,1)}
        51:{1,3,5}:{(30,1),(35,1),(77,1)}
        52:{1,2,4,6}:{(31,1),(36,1),(74,1),(78,1),(79,1),(87,1)}
        53:{2,3,4,7}:{(31,1),(37,1),(79,1),(91,1)}
        54:{1,2,4,6}:{(32,1),(43,1),(80,1),(81,1),(82,1),(87,1),(129,1),(183,1)}
        55:{1,2,3,5,7}:{(32,1),(34,1),(44,1),(82,1),(83,1),(85,1),(88,1),(131,1),(134,1),(140,1),(144,1),(191,1),(192,1)}
        56:{1,2,5}:{(33,1),(46,1),(75,1)}
        57:{1,2,4,7}:{(33,1),(34,1),(47,1),(76,1),(85,1)}
        58:{1,2,4,6}:{(35,1),(48,1),(77,1),(84,1),(86,1),(129,1)}
        59:{1,3,5,6}:{(36,1),(38,1),(78,1),(87,1),(88,1),(137,1),(195,1),(201,1)}
        60:{1,2,5,7}:{(36,1),(37,1),(79,1),(88,1),(89,1)}
        61:{2,3,6,7}:{(37,1),(41,1),(89,1),(92,1),(193,1)}
        62:{3,4,6}:{(38,1),(43,1),(87,1),(90,1),(91,1)}
        63:{3,5,7}:{(38,1),(39,1),(91,1),(92,1)}
        64:{1,2,4,6,7}:{(39,1),(40,1),(41,1),(45,1),(89,1),(92,1),(93,1),(96,1),(143,1),(148,1),(152,1)}
        65:{1,5,6,7}:{(40,1),(42,1),(189,1)}
        66:{2,5,6,7}:{(41,1),(42,1),(223,1)}
        67:{4,5,6,7}:{(42,1),(152,1),(225,1)}
        68:{2,4,5}:{(43,1),(46,1),(90,1)}
        69:{2,4,7}:{(43,1),(44,1),(91,1)}
        70:{2,3,6,7}:{(44,1),(45,1),(92,1),(96,1),(98,1)}
        71:{2,3,5,6}:{(46,1),(48,1),(84,1),(94,1),(97,1),(98,1),(139,1)}
        72:{2,3,5,7}:{(46,1),(47,1),(85,1),(95,1),(98,1),(140,1)}
        73:{2,3,4,7}:{(48,1),(86,1),(97,1),(186,1)}
        74:{1,2,4,5}:{(49,1),(52,1),(99,1),(115,1),(155,1),(163,1)}
        75:{1,3,5}:{(50,1),(56,1),(100,1),(108,1)}
        76:{1,3,4,7}:{(50,1),(57,1),(102,1),(103,1),(109,1),(160,1)}
        77:{1,3,6}:{(51,1),(58,1),(103,1)}
        78:{1,3,6}:{(52,1),(99,1),(107,1)}
        79:{1,2,4,7}:{(52,1),(53,1),(60,1),(107,1),(116,1)}
        80:{3,4,6}:{(54,1),(108,1),(109,1),(170,1)}
        81:{1,2,4,5}:{(54,1),(56,1),(68,1),(100,1),(108,1),(115,1),(156,1),(163,1)}
        82:{1,2,4,7}:{(54,1),(55,1),(69,1),(109,1),(116,1),(160,1),(206,1)}
        83:{1,2,3,6,7}:{(55,1),(70,1),(112,1),(114,1),(117,1),(162,1),(170,1),(213,1),(214,1)}
        84:{1,2,5,6}:{(56,1),(58,1),(71,1),(101,1),(113,1),(114,1)}
        85:{1,2,5,7}:{(56,1),(57,1),(72,1),(102,1),(114,1)}
        86:{1,2,4,7}:{(58,1),(73,1),(103,1),(113,1),(160,1)}
        87:{1,4,6}:{(59,1),(62,1),(115,1),(116,1)}
        88:{1,3,5,7}:{(59,1),(60,1),(63,1),(107,1),(116,1),(117,1),(176,1)}
        89:{1,2,6,7}:{(60,1),(61,1),(117,1),(213,1)}
        90:{3,4,5}:{(62,1),(68,1),(108,1),(115,1)}
        91:{3,4,7}:{(62,1),(63,1),(69,1),(116,1)}
        92:{3,6,7}:{(63,1),(64,1),(170,1)}
        93:{1,2,5,6,7}:{(64,1),(65,1),(66,1),(121,1),(124,1),(173,1),(176,1)}
        94:{2,4,5,6}:{(68,1),(71,1),(118,1),(122,1),(123,1)}
        95:{2,4,5,7}:{(68,1),(69,1),(72,1),(119,1),(123,1),(124,1)}
        96:{2,4,6,7}:{(69,1),(70,1),(120,1),(123,1),(124,1)}
        97:{2,3,5,7}:{(71,1),(73,1),(113,1),(122,1),(125,1),(169,1)}
        98:{2,3,6}:{(72,1),(114,1),(123,1),(170,1)}
        99:{1,3,5}:{(74,1),(78,1),(127,1)}
       100:{1,4,5}:{(75,1),(128,1),(129,1)}
       101:{1,3,5,6}:{(75,1),(77,1),(84,1),(129,1),(131,1),(132,1),(139,1),(189,1)}
       102:{1,3,5,7}:{(75,1),(76,1),(85,1),(130,1),(132,1),(140,1)}
       103:{1,3,7}:{(77,1),(86,1)}
       104:{1,2,3,6}:{(78,1),(126,1),(133,1),(134,1),(220,1)}
       105:{2,3,4,6}:{(80,1),(133,1),(135,1),(136,1),(181,1),(183,1),(193,1),(220,1)}
       106:{1,3,4,6}:{(78,1),(80,1),(87,1),(127,1),(133,1),(137,1),(138,1),(195,1)}
       107:{1,3,7}:{(78,1),(79,1)}
       108:{3,5}:{(80,1),(81,1)}
       109:{3,4,7}:{(80,1),(82,1),(140,1)}
       110:{1,2,4,5,6}:{(81,1),(84,1),(94,1),(129,1),(139,1),(142,1),(143,1),(146,1),(183,1),(189,1),(190,1),(223,1),(225,1)}
       111:{1,2,4,5,7}:{(81,1),(82,1),(85,1),(95,1),(130,1),(140,1),(143,1),(144,1),(147,1),(184,1),(191,1),(198,1)}
       112:{1,2,4,6,7}:{(82,1),(83,1),(96,1),(141,1),(143,1),(144,1),(148,1),(188,1),(222,1)}
       113:{1,2,5,7}:{(84,1),(86,1),(97,1),(131,1),(145,1)}
       114:{1,2,6}:{(85,1),(98,1),(132,1)}
       115:{1,4,5}:{(87,1),(90,1),(137,1)}
       116:{1,4,7}:{(87,1),(88,1),(91,1)}
       117:{1,3,6,7}:{(88,1),(89,1),(92,1),(148,1),(195,1)}
       118:{3,4,5,6}:{(90,1),(94,1),(139,1),(146,1),(149,1),(150,1),(225,1)}
       119:{3,4,5,7}:{(90,1),(91,1),(95,1),(140,1),(147,1),(150,1),(151,1),(198,1)}
       120:{3,4,6,7}:{(91,1),(92,1),(96,1),(148,1),(150,1),(151,1),(152,1)}
       121:{3,5,6,7}:{(92,1),(93,1),(151,1),(152,1),(197,1)}
       122:{2,4,5,7}:{(94,1),(97,1),(149,1),(153,1)}
       123:{2,4,6}:{(95,1),(98,1),(150,1),(154,1)}
       124:{2,5,7}:{(96,1),(151,1),(154,1)}
       125:{2,3,6,7}:{(97,1),(98,1),(145,1),(153,1),(196,1)}
       126:{1,2,3,5}:{(99,1),(104,1),(155,1),(163,1),(204,1)}
       127:{1,3,4}:{(99,1),(155,1)}
       128:{3,4,5}:{(100,1),(108,1),(156,1),(158,1)}
       129:{1,4,6}:{(100,1),(101,1),(158,1),(160,1)}
       130:{1,4,5,7}:{(100,1),(102,1),(159,1),(160,1),(161,1),(211,1)}
       131:{1,3,5,7}:{(101,1),(103,1),(113,1),(160,1),(162,1),(169,1),(211,1)}
       132:{1,3,6}:{(102,1),(114,1),(161,1),(170,1)}
       133:{1,2,4,6}:{(104,1),(105,1),(106,1),(155,1),(163,1),(164,1),(213,1)}
       134:{1,2,3,7}:{(104,1),(107,1),(164,1),(228,1)}
       135:{2,3,5}:{(105,1),(108,1),(156,1),(163,1)}
       136:{2,3,4,7}:{(105,1),(109,1),(164,1),(166,1),(206,1),(228,1)}
       137:{1,3,5}:{(106,1),(108,1),(115,1),(163,1)}
       138:{1,3,4,7}:{(106,1),(107,1),(109,1),(116,1),(164,1),(168,1)}
       139:{3,5,6}:{(108,1),(110,1),(158,1),(169,1),(170,1)}
       140:{3,5,7}:{(108,1),(109,1),(111,1),(170,1)}
       141:{3,4,6,7}:{(109,1),(112,1),(170,1),(171,1),(217,1)}
       142:{1,2,4,5,7}:{(110,1),(113,1),(122,1),(160,1),(169,1),(172,1),(174,1),(206,1),(211,1),(212,1),(229,1),(230,1)}
       143:{1,2,4,6}:{(111,1),(114,1),(123,1),(161,1),(170,1),(173,1),(175,1),(207,1),(213,1),(217,1)}
       144:{1,2,5,7}:{(112,1),(124,1),(171,1),(173,1),(176,1),(211,1),(229,1)}
       145:{1,2,6,7}:{(113,1),(114,1),(125,1),(162,1)}
       146:{1,4,5,6}:{(115,1),(118,1),(167,1),(174,1),(175,1)}
       147:{1,4,5,7}:{(115,1),(116,1),(119,1),(168,1),(175,1),(176,1)}
       148:{1,4,6,7}:{(116,1),(117,1),(120,1),(175,1),(176,1)}
       149:{3,4,5,7}:{(118,1),(122,1),(169,1),(174,1),(177,1),(230,1)}
       150:{3,4,6}:{(119,1),(123,1),(170,1),(175,1),(178,1),(217,1)}
       151:{3,5,7}:{(120,1),(124,1),(176,1),(178,1),(179,1)}
       152:{4,6,7}:{(121,1),(179,1),(217,1)}
       153:{2,4,6,7}:{(122,1),(123,1),(125,1),(177,1),(180,1)}
       154:{2,5,6}:{(123,1),(124,1),(178,1)}
       155:{1,2,4}:{(126,1),(127,1),(181,1)}
       156:{2,4,5}:{(128,1),(135,1),(183,1)}
       157:{1,3,4,5}:{(127,1),(128,1),(137,1),(182,1),(185,1)}
       158:{3,4,6}:{(128,1),(129,1),(139,1),(183,1),(186,1)}
       159:{3,4,5,7}:{(128,1),(130,1),(140,1),(184,1),(186,1),(187,1),(198,1),(224,1)}
       160:{1,4,7}:{(129,1),(131,1),(186,1)}
       161:{1,4,6}:{(130,1),(132,1),(187,1),(189,1)}
       162:{1,3,6,7}:{(131,1),(132,1),(145,1),(188,1),(196,1)}
       163:{1,2,5}:{(133,1),(135,1),(137,1)}
       164:{1,2,4,7}:{(133,1),(134,1),(136,1),(138,1),(191,1)}
       165:{2,3,5,6}:{(135,1),(139,1),(183,1),(190,1),(192,1),(193,1),(220,1),(223,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(140,1),(184,1),(191,1),(193,1)}
       167:{1,3,5,6}:{(137,1),(139,1),(146,1),(185,1),(190,1),(194,1),(195,1)}
       168:{1,3,5,7}:{(137,1),(138,1),(140,1),(147,1),(191,1),(195,1)}
       169:{3,5,7}:{(139,1),(142,1),(186,1),(196,1)}
       170:{3,6}:{(140,1),(143,1)}
       171:{3,5,7}:{(141,1),(144,1),(197,1),(198,1)}
       172:{1,2,4,6,7}:{(142,1),(143,1),(145,1),(153,1),(188,1),(196,1),(199,1),(200,1),(222,1),(226,1),(227,1)}
       173:{1,2,5,6}:{(143,1),(144,1),(154,1),(189,1),(197,1),(201,1),(223,1)}
       174:{1,4,5,7}:{(146,1),(149,1),(194,1),(200,1)}
       175:{1,4,6}:{(147,1),(150,1),(195,1),(201,1)}
       176:{1,5,7}:{(148,1),(151,1),(201,1)}
       177:{3,4,6,7}:{(149,1),(150,1),(153,1),(196,1),(200,1),(202,1),(227,1)}
       178:{3,5,6}:{(150,1),(151,1),(154,1),(201,1),(203,1)}
       179:{4,5,7}:{(151,1),(152,1),(203,1)}
       180:{2,5,6,7}:{(153,1),(154,1),(202,1)}
       181:{2,3,4}:{(155,1),(204,1)}
       182:{1,2,4,5}:{(155,1),(156,1),(157,1),(163,1),(204,1),(205,1)}
       183:{2,4,6}:{(156,1),(158,1),(165,1),(206,1)}
       184:{2,4,5,7}:{(156,1),(159,1),(166,1),(206,1),(207,1),(229,1)}
       185:{1,3,4,6}:{(157,1),(158,1),(167,1),(205,1),(208,1)}
       186:{3,4,7}:{(158,1),(160,1),(169,1),(206,1)}
       187:{3,4,6}:{(159,1),(161,1),(170,1),(207,1),(210,1),(217,1)}
       188:{1,4,6,7}:{(160,1),(161,1),(162,1),(209,1),(211,1)}
       189:{1,5,6}:{(161,1),(210,1),(211,1)}
       190:{1,2,5,6}:{(163,1),(165,1),(167,1),(205,1),(212,1),(213,1)}
       191:{1,2,5,7}:{(163,1),(164,1),(166,1),(168,1),(213,1)}
       192:{2,3,5,7}:{(165,1),(169,1),(206,1),(212,1),(214,1),(228,1),(229,1)}
       193:{2,3,6}:{(166,1),(170,1),(207,1),(213,1)}
       194:{1,3,5,7}:{(167,1),(169,1),(174,1),(208,1),(212,1),(215,1)}
       195:{1,3,6}:{(168,1),(170,1),(175,1),(213,1)}
       196:{3,6,7}:{(169,1),(170,1),(172,1)}
       197:{3,5,6}:{(170,1),(171,1),(173,1),(217,1)}
       198:{4,5,7}:{(171,1),(217,1)}
       199:{1,2,5,6,7}:{(172,1),(173,1),(180,1),(211,1),(216,1),(218,1),(229,1)}
       200:{1,4,6,7}:{(174,1),(175,1),(177,1),(215,1),(218,1)}
       201:{1,5,6}:{(175,1),(176,1),(178,1)}
       202:{3,5,6,7}:{(177,1),(178,1),(180,1),(218,1),(219,1)}
       203:{4,5,6}:{(178,1),(179,1),(217,1)}
       204:{2,3,5}:{(181,1),(182,1),(220,1)}
       205:{1,2,4,6}:{(182,1),(183,1),(185,1),(190,1),(220,1),(221,1)}
       206:{2,4,7}:{(183,1),(186,1),(192,1)}
       207:{2,4,6}:{(184,1),(187,1),(193,1),(223,1)}
       208:{1,3,4,7}:{(185,1),(186,1),(194,1),(221,1)}
       209:{3,4,6,7}:{(186,1),(187,1),(188,1),(196,1),(222,1),(224,1),(227,1)}
       210:{3,5,6}:{(187,1),(189,1),(223,1),(224,1),(225,1)}
       211:{1,5,7}:{(188,1),(189,1),(224,1)}
       212:{1,2,5,7}:{(190,1),(192,1),(194,1),(221,1),(226,1)}
       213:{1,2,6}:{(191,1),(193,1),(195,1)}
       214:{2,3,6,7}:{(192,1),(193,1),(196,1),(222,1),(226,1)}
       215:{1,3,6,7}:{(194,1),(195,1),(196,1),(200,1),(226,1)}
       216:{3,5,6,7}:{(196,1),(197,1),(199,1),(224,1),(227,1)}
       217:{4,6}:{(197,1),(198,1)}
       218:{1,5,6,7}:{(200,1),(201,1),(202,1)}
       219:{4,5,6,7}:{(202,1),(203,1),(227,1)}
       220:{2,3,6}:{(204,1),(205,1),(228,1)}
       221:{1,2,4,7}:{(205,1),(206,1),(208,1),(212,1),(228,1)}
       222:{2,4,6,7}:{(206,1),(207,1),(209,1),(214,1),(229,1)}
       223:{2,5,6}:{(207,1),(210,1),(229,1)}
       224:{3,5,7}:{(209,1),(210,1),(211,1),(229,1),(230,1)}
       225:{4,5,6}:{(210,1),(217,1),(230,1)}
       226:{1,2,6,7}:{(212,1),(213,1),(214,1),(215,1)}
       227:{4,6,7}:{(216,1),(217,1),(230,1)}
       228:{2,3,7}:{(220,1),(221,1)}
       229:{2,5,7}:{(222,1),(223,1),(224,1)}
       230:{4,5,7}:{(224,1),(225,1),(227,1)}

 763 :   0:{2,4,5,6}:{(1,1),(2,1),(14,1),(92,1),(93,1)}
         1:{3,5,6}:{(0,1),(4,1),(5,1),(7,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(8,1),(31,1),(77,1),(78,1)}
         3:{2,3,4,6}:{(10,1),(11,1),(12,1),(14,1),(45,1),(49,1),(88,1),(96,1),(139,1)}
         4:{3,4,6}:{(1,1),(9,1),(13,1),(14,1),(15,1),(49,1)}
         5:{1,5,6}:{(1,1),(13,1),(17,1)}
         6:{2,3,5,6}:{(1,1),(10,1),(14,1),(16,1),(18,1),(45,1),(49,1),(92,1),(140,1)}
         7:{3,5,7}:{(1,1),(2,1),(15,1),(17,1),(19,1)}
         8:{2,4,6,7}:{(2,1),(19,1),(20,1),(58,1)}
         9:{3,4,5}:{(4,1),(21,1),(22,1),(62,1)}
        10:{2,3,5}:{(3,1),(22,1),(24,1),(62,1),(120,1),(160,1)}
        11:{1,2,4,6}:{(3,1),(24,1),(26,1),(27,1),(67,1),(69,1),(119,1)}
        12:{2,3,4,7}:{(3,1),(25,1),(27,1),(31,1),(74,1),(115,1),(121,1),(204,1)}
        13:{1,4,6}:{(4,1),(5,1),(21,1),(28,1),(30,1)}
        14:{2,4,6}:{(4,1),(6,1),(22,1),(31,1),(161,1)}
        15:{3,4,7}:{(4,1),(7,1),(30,1),(31,1),(74,1)}
        16:{1,2,5,6}:{(5,1),(6,1),(24,1),(29,1),(33,1),(34,1),(69,1),(120,1),(163,1)}
        17:{1,5,7}:{(5,1),(7,1),(30,1),(35,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(31,1),(34,1),(36,1),(74,1),(77,1),(127,1)}
        19:{3,6,7}:{(7,1),(8,1),(35,1)}
        20:{2,5,6,7}:{(8,1),(37,1),(77,1),(131,1)}
        21:{1,4,5}:{(9,1),(13,1),(38,1)}
        22:{2,4,5}:{(9,1),(10,1),(14,1),(177,1)}
        23:{3,4,5,7}:{(9,1),(15,1),(40,1),(41,1),(42,1),(53,1),(89,1),(147,1),(150,1),(172,1),(177,1)}
        24:{1,2,5}:{(10,1),(11,1),(43,1),(142,1)}
        25:{2,3,5,7}:{(10,1),(12,1),(41,1),(44,1),(45,1),(89,1),(143,1),(182,1),(197,1)}
        26:{1,3,6}:{(11,1),(43,1),(46,1),(49,1)}
        27:{1,2,4,7}:{(11,1),(12,1),(44,1),(46,1),(94,1),(208,1)}
        28:{1,3,6}:{(13,1),(38,1),(47,1),(48,1),(49,1)}
        29:{1,2,4,6}:{(13,1),(14,1),(16,1),(39,1),(47,1),(49,1),(50,1),(54,1),(96,1)}
        30:{1,4,7}:{(13,1),(15,1),(17,1),(48,1)}
        31:{2,4,7}:{(14,1),(15,1),(18,1),(150,1)}
        32:{3,4,6,7}:{(15,1),(19,1),(42,1),(51,1),(52,1),(53,1),(58,1),(102,1),(107,1),(147,1),(150,1)}
        33:{1,3,5,6}:{(16,1),(43,1),(49,1),(54,1),(55,1),(95,1),(100,1),(140,1),(142,1),(148,1),(152,1)}
        34:{1,2,5,7}:{(16,1),(17,1),(18,1),(50,1),(55,1),(56,1),(143,1)}
        35:{1,6,7}:{(17,1),(19,1)}
        36:{2,3,6,7}:{(18,1),(19,1),(45,1),(52,1),(56,1),(102,1),(182,1)}
        37:{3,5,6,7}:{(19,1),(20,1),(53,1),(57,1),(58,1),(107,1)}
        38:{1,3,5}:{(21,1),(28,1),(59,1),(60,1),(62,1)}
        39:{1,2,4,5}:{(21,1),(22,1),(24,1),(29,1),(60,1),(62,1),(67,1),(79,1),(111,1),(120,1)}
        40:{1,4,5,7}:{(21,1),(23,1),(30,1),(61,1),(64,1),(76,1),(124,1),(155,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(25,1),(31,1),(65,1),(77,1),(167,1),(186,1)}
        42:{3,4,6}:{(23,1),(64,1),(65,1),(66,1),(116,1),(161,1)}
        43:{1,3,5}:{(24,1),(26,1),(62,1),(67,1)}
        44:{1,2,5,7}:{(24,1),(25,1),(27,1),(68,1),(69,1),(194,1),(205,1)}
        45:{2,3,6}:{(25,1),(65,1),(69,1),(116,1),(163,1)}
        46:{1,3,7}:{(26,1),(27,1),(74,1),(209,1)}
        47:{1,2,6}:{(28,1),(60,1),(70,1),(71,1)}
        48:{1,3,7}:{(28,1),(30,1),(71,1),(74,1)}
        49:{3,6}:{(29,1),(62,1),(74,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(71,1),(74,1),(80,1),(121,1)}
        51:{1,4,6,7}:{(30,1),(32,1),(35,1),(64,1),(72,1),(76,1),(124,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(36,1),(65,1),(77,1),(131,1),(167,1)}
        53:{3,5,7}:{(32,1),(66,1),(76,1),(77,1),(78,1)}
        54:{1,4,6}:{(33,1),(67,1),(73,1),(79,1),(80,1),(161,1)}
        55:{1,3,5,7}:{(33,1),(34,1),(74,1),(80,1),(81,1),(125,1),(127,1),(130,1)}
        56:{1,2,6,7}:{(34,1),(35,1),(36,1),(69,1),(81,1),(163,1),(194,1)}
        57:{1,5,6,7}:{(35,1),(37,1),(76,1),(82,1)}
        58:{4,6,7}:{(37,1),(78,1)}
        59:{1,3,4}:{(38,1),(83,1),(88,1)}
        60:{1,2,5}:{(38,1),(47,1),(83,1),(85,1)}
        61:{1,3,5,7}:{(38,1),(40,1),(48,1),(84,1),(86,1),(87,1),(89,1),(134,1),(202,1)}
        62:{3,5}:{(39,1),(49,1),(88,1)}
        63:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(44,1),(50,1),(86,1),(89,1),(90,1),(94,1),(103,1),(105,1),(135,1),(142,1),(143,1),(146,1),(150,1),(171,1),(173,1),(177,1),(179,1),(202,1)}
        64:{1,4,6}:{(40,1),(42,1),(87,1),(91,1)}
        65:{2,4,6}:{(41,1),(42,1),(45,1),(92,1)}
        66:{3,5,6}:{(42,1),(53,1),(91,1),(92,1),(93,1)}
        67:{1,4}:{(43,1),(88,1)}
        68:{1,3,5,7}:{(43,1),(44,1),(46,1),(89,1),(94,1),(95,1),(142,1),(181,1),(196,1),(202,1)}
        69:{1,2,6}:{(44,1),(45,1),(95,1)}
        70:{2,3,6}:{(47,1),(49,1),(85,1),(96,1),(97,1)}
        71:{1,2,7}:{(47,1),(48,1),(97,1)}
        72:{1,3,6,7}:{(48,1),(51,1),(87,1),(98,1),(99,1),(102,1),(107,1)}
        73:{3,4,6}:{(49,1),(54,1),(88,1),(96,1),(100,1),(101,1),(148,1)}
        74:{3,7}:{(49,1),(50,1)}
        75:{1,2,4,6,7}:{(50,1),(51,1),(52,1),(56,1),(90,1),(98,1),(102,1),(103,1),(106,1),(144,1),(146,1),(150,1)}
        76:{1,5,7}:{(51,1),(53,1),(91,1)}
        77:{2,5,7}:{(52,1),(53,1),(92,1)}
        78:{4,5,7}:{(53,1),(58,1),(93,1),(150,1)}
        79:{1,4,5}:{(54,1),(100,1),(142,1),(177,1)}
        80:{1,4,7}:{(54,1),(55,1),(101,1),(150,1)}
        81:{1,3,6,7}:{(55,1),(56,1),(95,1),(102,1),(106,1),(148,1),(181,1)}
        82:{1,4,6,7}:{(57,1),(58,1),(104,1),(107,1)}
        83:{1,2,4}:{(59,1),(60,1),(108,1),(111,1)}
        84:{1,3,4,7}:{(59,1),(61,1),(109,1),(110,1),(115,1),(124,1),(166,1),(193,1)}
        85:{2,3,5}:{(60,1),(62,1),(70,1),(108,1),(111,1),(120,1)}
        86:{1,2,5,7}:{(60,1),(61,1),(71,1),(109,1),(112,1),(113,1),(154,1)}
        87:{1,3,6}:{(61,1),(64,1),(113,1),(116,1),(207,1)}
        88:{3,4}:{(62,1),(67,1),(111,1)}
        89:{3,5,7}:{(62,1),(63,1),(74,1),(115,1),(116,1),(160,1),(166,1),(185,1)}
        90:{1,2,4,6}:{(63,1),(64,1),(65,1),(69,1),(113,1),(116,1),(117,1),(119,1),(129,1),(156,1),(161,1),(163,1),(191,1),(207,1)}
        91:{1,5,6}:{(64,1),(66,1),(76,1)}
        92:{2,5,6}:{(65,1),(66,1),(77,1)}
        93:{4,5,6}:{(66,1),(78,1),(161,1)}
        94:{1,4,7}:{(67,1),(68,1),(115,1),(119,1),(203,1)}
        95:{1,3,6}:{(68,1),(69,1),(116,1),(119,1),(207,1)}
        96:{2,4,6}:{(70,1),(73,1),(111,1),(120,1),(121,1),(163,1)}
        97:{2,3,7}:{(70,1),(71,1),(74,1),(121,1)}
        98:{1,2,6,7}:{(71,1),(72,1),(113,1),(122,1),(123,1),(131,1),(207,1)}
        99:{1,3,5,7}:{(72,1),(76,1),(114,1),(123,1),(124,1),(127,1),(128,1),(166,1)}
       100:{3,5}:{(73,1),(79,1),(120,1)}
       101:{3,4,7}:{(73,1),(74,1),(80,1),(121,1),(125,1)}
       102:{3,6,7}:{(74,1),(75,1),(116,1),(127,1),(166,1)}
       103:{1,2,5,7}:{(75,1),(76,1),(77,1),(117,1),(127,1),(130,1),(164,1)}
       104:{1,4,5,7}:{(76,1),(78,1),(82,1),(118,1),(124,1),(128,1)}
       105:{1,4,5,7}:{(79,1),(80,1),(125,1),(129,1),(130,1),(169,1)}
       106:{1,4,6,7}:{(80,1),(81,1),(119,1),(126,1),(129,1),(130,1),(193,1),(207,1)}
       107:{3,6,7}:{(82,1),(128,1),(131,1)}
       108:{2,3}:{(83,1)}
       109:{1,2,4,7}:{(83,1),(84,1),(86,1),(132,1),(133,1),(135,1)}
       110:{1,3,4,6}:{(84,1),(87,1),(133,1),(134,1),(138,1),(139,1),(175,1),(195,1),(199,1)}
       111:{2,4}:{(85,1),(88,1)}
       112:{2,3,5,7}:{(85,1),(86,1),(89,1),(97,1),(132,1),(135,1),(136,1),(143,1),(170,1),(173,1)}
       113:{1,2,6}:{(86,1),(87,1),(136,1)}
       114:{1,3,5,6}:{(87,1),(91,1),(99,1),(134,1),(137,1),(138,1),(140,1),(141,1),(175,1)}
       115:{3,4,7}:{(88,1),(89,1),(94,1),(135,1),(139,1),(150,1),(195,1)}
       116:{3,6}:{(89,1),(90,1)}
       117:{1,2,5,6}:{(90,1),(91,1),(92,1),(103,1),(140,1),(142,1),(152,1),(173,1),(178,1)}
       118:{1,4,5,6}:{(91,1),(93,1),(104,1),(138,1),(141,1)}
       119:{1,4,6}:{(94,1),(95,1),(139,1),(142,1)}
       120:{2,5}:{(96,1),(100,1)}
       121:{2,4,7}:{(96,1),(97,1),(101,1),(143,1)}
       122:{2,3,6,7}:{(97,1),(98,1),(102,1),(136,1),(144,1),(145,1),(201,1)}
       123:{1,2,5,7}:{(98,1),(99,1),(137,1),(145,1),(146,1),(151,1),(202,1)}
       124:{1,4,7}:{(99,1),(138,1),(147,1),(150,1)}
       125:{3,5,7}:{(100,1),(101,1),(105,1),(143,1),(148,1)}
       126:{3,4,6,7}:{(101,1),(102,1),(106,1),(139,1),(144,1),(148,1),(149,1),(150,1),(180,1),(183,1),(201,1)}
       127:{3,5,7}:{(102,1),(103,1),(140,1),(150,1)}
       128:{3,5,7}:{(104,1),(107,1),(141,1),(147,1),(151,1)}
       129:{1,4,6}:{(105,1),(148,1),(152,1),(183,1)}
       130:{1,5,7}:{(106,1),(142,1),(149,1),(152,1)}
       131:{2,6,7}:{(107,1),(151,1)}
       132:{2,3,7}:{(108,1),(109,1),(153,1),(166,1)}
       133:{1,2,4,6}:{(109,1),(110,1),(113,1),(153,1),(154,1),(156,1),(184,1)}
       134:{1,3,5}:{(110,1),(154,1),(155,1),(160,1),(185,1),(206,1)}
       135:{2,4,7}:{(111,1),(112,1),(115,1),(156,1),(184,1)}
       136:{2,3,6}:{(112,1),(113,1),(116,1),(156,1),(163,1)}
       137:{1,2,5,6}:{(113,1),(114,1),(123,1),(154,1),(157,1),(158,1),(162,1),(206,1),(207,1)}
       138:{1,4,6}:{(114,1),(124,1),(155,1),(159,1),(161,1)}
       139:{3,4,6}:{(115,1),(116,1),(119,1),(156,1),(160,1),(161,1)}
       140:{3,5,6}:{(116,1),(117,1),(127,1),(160,1),(161,1)}
       141:{3,5,6}:{(118,1),(128,1),(159,1),(162,1)}
       142:{1,5}:{(119,1),(160,1)}
       143:{2,5,7}:{(120,1),(121,1),(125,1),(163,1)}
       144:{2,4,6,7}:{(121,1),(122,1),(126,1),(156,1),(163,1),(164,1),(165,1),(191,1)}
       145:{2,3,5,7}:{(122,1),(123,1),(127,1),(157,1),(164,1),(165,1),(166,1),(192,1)}
       146:{1,2,4,7}:{(123,1),(124,1),(158,1),(165,1),(166,1),(167,1),(193,1),(194,1)}
       147:{3,4,7}:{(124,1),(128,1),(159,1),(166,1),(167,1)}
       148:{3,6}:{(125,1),(129,1),(163,1)}
       149:{3,5,7}:{(126,1),(130,1),(160,1),(164,1),(168,1),(169,1)}
       150:{4,7}:{(127,1),(161,1)}
       151:{2,5,7}:{(128,1),(131,1),(162,1),(167,1)}
       152:{1,5,6}:{(129,1),(130,1),(168,1),(207,1)}
       153:{2,3,6}:{(132,1),(133,1),(170,1),(175,1)}
       154:{1,2,5}:{(133,1),(134,1),(170,1),(173,1)}
       155:{1,4,5}:{(134,1),(138,1),(172,1),(177,1)}
       156:{2,4,6}:{(135,1),(136,1),(139,1),(173,1)}
       157:{2,3,5,6}:{(136,1),(137,1),(140,1),(145,1),(170,1),(173,1),(174,1),(175,1),(178,1),(198,1),(201,1)}
       158:{1,2,4,6}:{(137,1),(138,1),(146,1),(171,1),(174,1),(175,1),(176,1),(199,1),(200,1)}
       159:{3,4,6}:{(138,1),(141,1),(147,1),(172,1),(175,1),(176,1)}
       160:{3,5}:{(139,1),(142,1),(173,1),(177,1)}
       161:{4,6}:{(140,1),(150,1),(177,1)}
       162:{2,5,6}:{(141,1),(151,1),(176,1)}
       163:{2,6}:{(143,1),(148,1)}
       164:{2,5,7}:{(144,1),(149,1),(173,1),(178,1)}
       165:{2,4,7}:{(145,1),(150,1),(174,1),(180,1)}
       166:{3,7}:{(146,1),(175,1)}
       167:{2,4,7}:{(147,1),(151,1),(176,1),(182,1)}
       168:{3,5,6}:{(148,1),(149,1),(152,1),(178,1),(183,1),(201,1)}
       169:{4,5,7}:{(149,1),(150,1),(177,1),(183,1)}
       170:{2,3,5}:{(153,1),(154,1),(184,1),(185,1)}
       171:{1,2,4,5}:{(154,1),(155,1),(158,1),(184,1),(185,1),(186,1),(187,1),(203,1),(205,1),(206,1)}
       172:{3,4,5}:{(155,1),(159,1),(185,1),(186,1)}
       173:{2,5}:{(156,1),(160,1)}
       174:{2,4,6}:{(157,1),(161,1),(165,1),(184,1),(187,1),(188,1)}
       175:{3,6}:{(158,1),(166,1),(185,1)}
       176:{2,4,6}:{(159,1),(162,1),(167,1),(186,1),(190,1)}
       177:{4,5}:{(160,1),(161,1)}
       178:{2,5,6}:{(163,1),(164,1),(168,1),(191,1)}
       179:{2,4,5,7}:{(164,1),(165,1),(169,1),(187,1),(191,1),(192,1)}
       180:{3,4,7}:{(165,1),(166,1),(188,1),(192,1),(193,1)}
       181:{1,3,7}:{(166,1),(189,1),(193,1),(194,1)}
       182:{2,3,7}:{(166,1),(167,1),(190,1),(194,1)}
       183:{4,6}:{(168,1),(169,1)}
       184:{2,4}:{(170,1),(195,1)}
       185:{3,5}:{(171,1),(175,1),(195,1)}
       186:{2,4,5}:{(172,1),(176,1),(197,1)}
       187:{2,4,5}:{(173,1),(174,1),(177,1),(198,1)}
       188:{3,4,6}:{(174,1),(175,1),(180,1),(195,1),(198,1),(199,1),(201,1)}
       189:{1,3,6}:{(175,1),(181,1),(196,1),(199,1),(200,1)}
       190:{2,3,6}:{(175,1),(176,1),(182,1),(197,1),(200,1)}
       191:{2,4,6}:{(178,1),(179,1),(183,1),(201,1)}
       192:{3,5,7}:{(179,1),(180,1),(198,1),(201,1),(202,1)}
       193:{1,4,7}:{(180,1),(181,1),(199,1),(202,1)}
       194:{1,2,7}:{(181,1),(182,1),(200,1)}
       195:{3,4}:{(184,1),(185,1),(203,1)}
       196:{1,3,5}:{(185,1),(189,1),(203,1),(205,1),(206,1),(209,1)}
       197:{2,3,5}:{(185,1),(186,1),(190,1),(204,1),(205,1)}
       198:{3,5}:{(187,1),(188,1),(206,1)}
       199:{1,4,6}:{(188,1),(189,1),(193,1),(203,1),(206,1),(207,1)}
       200:{1,2,6}:{(189,1),(190,1),(194,1),(205,1)}
       201:{3,6}:{(191,1),(192,1),(207,1)}
       202:{1,5,7}:{(192,1),(193,1),(206,1),(207,1)}
       203:{1,4}:{(195,1),(196,1)}
       204:{2,3,4}:{(195,1),(197,1),(208,1)}
       205:{1,2,5}:{(196,1),(197,1),(200,1),(208,1)}
       206:{1,5}:{(198,1),(199,1)}
       207:{1,6}:{(201,1),(202,1)}
       208:{1,2,4}:{(203,1),(204,1),(205,1),(209,1)}
       209:{1,3}:{(208,1)}

 764 :   0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(25,1),(29,1),(31,1),(52,1),(58,1),(79,1),(86,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(38,1),(69,1),(96,1),(102,1)}
         2:{1,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(74,1),(101,1)}
         3:{1,3,5,6}:{(2,1),(8,1),(9,1),(27,1),(29,1)}
         4:{2,3,6,7}:{(1,1),(10,1),(29,1),(111,1),(115,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(114,1)}
         6:{1,4,5,7}:{(2,1),(9,1),(12,1),(79,1),(87,1)}
         7:{1,3,5,6,7}:{(3,1),(13,1),(14,1),(35,1),(37,1),(63,1),(123,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(40,1),(74,1)}
         9:{1,4,6}:{(3,1),(6,1),(18,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(125,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(45,1),(47,1),(74,1),(96,1),(103,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(49,1),(81,1),(83,1),(112,1)}
        14:{1,4,6,7}:{(7,1),(9,1),(22,1),(25,1),(79,1),(131,1)}
        15:{1,4,5,6}:{(9,1),(22,1),(27,1)}
        16:{2,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(27,1),(29,1),(30,1)}
        19:{2,4,7}:{(10,1),(28,1),(31,1),(132,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(111,1),(116,1)}
        21:{2,4,5,7}:{(12,1),(30,1),(33,1),(49,1),(80,1),(88,1)}
        22:{1,4,5,7}:{(14,1),(15,1),(35,1),(136,1)}
        23:{2,3,5,6,7}:{(13,1),(16,1),(36,1),(37,1),(64,1),(66,1),(98,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(36,1),(37,1),(38,1),(67,1),(69,1),(96,1),(121,1)}
        25:{3,4,6,7}:{(14,1),(18,1),(35,1),(37,1),(38,1),(62,1),(135,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(39,1),(40,1),(41,1),(65,1),(71,1),(72,1),(73,1),(74,1),(97,1),(103,1),(121,1),(136,1),(139,1)}
        27:{3,5,6}:{(15,1),(18,1),(35,1),(40,1)}
        28:{2,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{2,4,6}:{(18,1),(21,1),(40,1),(44,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(45,1),(126,1)}
        32:{1,3,5,7}:{(20,1),(43,1),(45,1),(47,1),(74,1),(77,1),(105,1)}
        33:{2,3,5,7}:{(20,1),(21,1),(44,1),(46,1),(47,1),(75,1)}
        34:{1,2,4,5,7}:{(22,1),(24,1),(26,1),(48,1),(49,1),(50,1),(79,1),(80,1),(81,1),(83,1)}
        35:{3,5,7}:{(22,1),(25,1),(27,1),(49,1),(138,1)}
        36:{2,4,6,7}:{(23,1),(28,1),(50,1),(51,1),(80,1),(109,1)}
        37:{3,6,7}:{(24,1),(29,1),(48,1),(111,1),(129,1)}
        38:{2,4,6,7}:{(25,1),(30,1),(49,1),(53,1),(80,1),(137,1)}
        39:{3,5,6}:{(26,1),(29,1),(48,1),(54,1),(57,1),(116,1),(129,1),(138,1)}
        40:{2,5,6}:{(27,1),(30,1),(49,1)}
        41:{2,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(58,1)}
        43:{1,3,6}:{(29,1),(32,1),(58,1),(60,1)}
        44:{2,3,6}:{(29,1),(30,1),(33,1),(60,1)}
        45:{1,4,7}:{(31,1),(32,1),(58,1),(117,1)}
        46:{2,3,4,7}:{(31,1),(33,1),(59,1),(61,1),(80,1),(111,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(37,1),(39,1),(62,1)}
        49:{2,5,7}:{(35,1),(38,1),(40,1),(139,1)}
        50:{2,4,5,7}:{(36,1),(41,1),(65,1),(66,1)}
        51:{3,4,6,7}:{(36,1),(37,1),(42,1),(62,1),(66,1),(67,1),(93,1)}
        52:{1,3,6,7}:{(37,1),(43,1),(63,1),(67,1),(69,1),(118,1)}
        53:{2,3,6,7}:{(37,1),(38,1),(44,1),(64,1),(69,1),(133,1)}
        54:{3,4,6}:{(39,1),(62,1),(70,1),(71,1),(72,1),(104,1),(126,1)}
        55:{1,3,5,6}:{(39,1),(43,1),(63,1),(71,1),(73,1),(74,1),(97,1),(101,1),(104,1),(105,1),(118,1)}
        56:{2,3,5,6}:{(39,1),(40,1),(44,1),(64,1),(72,1),(73,1),(75,1),(104,1),(125,1),(133,1),(139,1)}
        57:{3,5}:{(41,1),(42,1),(74,1)}
        58:{1,4,6}:{(42,1),(43,1),(45,1),(74,1)}
        59:{2,3,4,6}:{(42,1),(44,1),(46,1),(72,1),(75,1),(76,1),(104,1),(126,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(54,1),(79,1),(80,1),(111,1)}
        63:{1,3,5,7}:{(48,1),(52,1),(55,1),(79,1),(81,1),(83,1),(111,1)}
        64:{2,3,5,7}:{(48,1),(49,1),(53,1),(56,1),(80,1),(81,1),(111,1)}
        65:{2,4,5,6}:{(50,1),(82,1),(109,1)}
        66:{3,5,7}:{(50,1),(51,1),(57,1),(82,1),(83,1)}
        67:{1,4,6,7}:{(51,1),(52,1),(58,1),(79,1),(83,1),(108,1)}
        68:{2,3,4,6,7}:{(51,1),(53,1),(59,1),(80,1),(84,1),(85,1),(109,1),(111,1),(129,1),(130,1),(137,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(60,1),(81,1),(127,1)}
        70:{3,4,5}:{(54,1),(57,1),(87,1),(88,1),(116,1),(138,1)}
        71:{1,4,6}:{(54,1),(55,1),(79,1),(87,1),(117,1)}
        72:{2,4,6}:{(54,1),(56,1),(80,1),(88,1),(132,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(60,1),(81,1),(89,1),(90,1),(114,1),(127,1)}
        74:{1,5}:{(57,1),(58,1)}
        75:{2,3,5}:{(57,1),(59,1),(88,1),(90,1),(116,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{1,3,7}:{(61,1),(91,1),(111,1)}
        78:{3,4,5,7}:{(62,1),(66,1),(70,1),(93,1),(94,1),(95,1),(122,1)}
        79:{1,4,7}:{(62,1),(63,1),(71,1)}
        80:{2,4,7}:{(62,1),(64,1),(72,1)}
        81:{1,2,5,7}:{(63,1),(64,1),(69,1),(73,1),(96,1)}
        82:{3,5,6}:{(65,1),(66,1),(93,1),(97,1)}
        83:{1,5,7}:{(66,1),(67,1),(74,1),(97,1)}
        84:{2,3,5,7}:{(66,1),(68,1),(75,1),(95,1),(98,1),(99,1),(122,1),(139,1)}
        85:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(96,1),(99,1),(100,1),(121,1),(124,1)}
        86:{1,3,4,6}:{(71,1),(92,1),(101,1),(102,1),(104,1),(118,1),(126,1),(135,1)}
        87:{1,4,5}:{(70,1),(71,1),(74,1),(101,1)}
        88:{2,4,5}:{(70,1),(72,1),(75,1),(139,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(73,1),(96,1),(103,1),(104,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{1,3,6}:{(76,1),(77,1),(104,1),(105,1)}
        92:{1,3,4,7}:{(79,1),(86,1),(106,1),(107,1),(111,1),(130,1)}
        93:{3,4,6}:{(78,1),(82,1),(108,1),(109,1),(129,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(106,1),(108,1)}
        95:{2,4,5,7}:{(78,1),(80,1),(84,1),(88,1),(109,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(89,1),(111,1)}
        97:{1,5,6}:{(82,1),(83,1),(108,1)}
        98:{2,3,5,6}:{(82,1),(84,1),(109,1),(112,1),(129,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(85,1),(90,1),(112,1),(113,1)}
       100:{1,3,6,7}:{(85,1),(91,1),(111,1),(113,1),(129,1)}
       101:{1,3,5}:{(86,1),(87,1),(114,1),(116,1),(138,1)}
       102:{1,2,4,6}:{(86,1),(107,1),(114,1),(115,1),(127,1),(132,1),(137,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(89,1),(90,1),(114,1),(116,1),(117,1),(132,1)}
       104:{3,6}:{(89,1),(111,1),(116,1)}
       105:{1,3,5}:{(90,1),(91,1),(116,1),(117,1)}
       106:{1,3,5,7}:{(92,1),(94,1),(101,1),(118,1),(119,1),(122,1)}
       107:{1,2,4,7}:{(92,1),(102,1),(119,1),(120,1),(134,1)}
       108:{1,4,6}:{(93,1),(94,1),(97,1),(118,1)}
       109:{2,4,6}:{(93,1),(95,1),(98,1)}
       110:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(103,1),(119,1),(121,1),(122,1),(124,1),(134,1),(136,1),(139,1)}
       111:{3,7}:{(96,1),(104,1)}
       112:{1,2,5,6}:{(97,1),(98,1),(99,1),(121,1),(123,1),(139,1)}
       113:{1,3,5,7}:{(99,1),(100,1),(105,1),(122,1),(123,1),(124,1)}
       114:{1,2,5}:{(101,1),(102,1),(125,1),(139,1)}
       115:{2,3,6}:{(102,1),(104,1),(120,1),(125,1)}
       116:{3,5}:{(103,1),(104,1),(126,1)}
       117:{1,4}:{(105,1),(126,1)}
       118:{1,3,6}:{(106,1),(108,1),(127,1),(129,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(114,1),(127,1),(128,1)}
       120:{2,3,7}:{(107,1),(111,1),(115,1)}
       121:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1),(131,1),(137,1)}
       122:{3,5,7}:{(110,1),(111,1),(116,1),(129,1),(130,1),(138,1)}
       123:{1,3,5,6}:{(112,1),(113,1),(129,1),(131,1),(138,1)}
       124:{1,4,7}:{(113,1),(117,1),(130,1),(131,1)}
       125:{2,3,5}:{(114,1),(115,1),(116,1),(132,1)}
       126:{3,4}:{(116,1),(117,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{2,3,5,7}:{(119,1),(120,1),(122,1),(125,1),(133,1),(134,1),(139,1)}
       129:{3,6}:{(121,1),(122,1)}
       130:{3,4,7}:{(122,1),(124,1),(126,1),(134,1),(135,1)}
       131:{1,4,6}:{(123,1),(124,1),(135,1),(136,1)}
       132:{2,4}:{(125,1),(126,1)}
       133:{2,3,6}:{(127,1),(128,1),(129,1),(137,1)}
       134:{2,4,7}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,4,6}:{(129,1),(130,1),(131,1),(137,1),(138,1)}
       136:{1,4,5}:{(131,1),(138,1)}
       137:{2,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

 765 :   0:{1,4,5,6}:{(1,1),(2,1),(13,1),(91,1),(93,1)}
         1:{3,5,6}:{(0,1),(4,1),(6,1),(7,1)}
         2:{1,4,5,7}:{(0,1),(7,1),(8,1),(30,1),(76,1),(78,1)}
         3:{1,3,4,6}:{(10,1),(11,1),(12,1),(13,1),(45,1),(49,1),(88,1),(96,1),(139,1)}
         4:{3,4,6}:{(1,1),(9,1),(13,1),(14,1),(15,1),(49,1)}
         5:{1,3,5,6}:{(1,1),(10,1),(13,1),(16,1),(17,1),(45,1),(49,1),(91,1),(140,1)}
         6:{2,5,6}:{(1,1),(14,1),(18,1)}
         7:{3,5,7}:{(1,1),(2,1),(15,1),(18,1),(19,1)}
         8:{1,4,6,7}:{(2,1),(19,1),(20,1),(58,1)}
         9:{3,4,5}:{(4,1),(21,1),(22,1),(62,1)}
        10:{1,3,5}:{(3,1),(21,1),(24,1),(62,1),(120,1),(160,1)}
        11:{1,2,4,6}:{(3,1),(24,1),(26,1),(27,1),(67,1),(69,1),(119,1)}
        12:{1,3,4,7}:{(3,1),(25,1),(27,1),(30,1),(74,1),(115,1),(121,1),(203,1)}
        13:{1,4,6}:{(4,1),(5,1),(21,1),(30,1),(161,1)}
        14:{2,4,6}:{(4,1),(6,1),(22,1),(28,1),(31,1)}
        15:{3,4,7}:{(4,1),(7,1),(30,1),(31,1),(74,1)}
        16:{1,2,5,6}:{(5,1),(6,1),(24,1),(29,1),(33,1),(34,1),(69,1),(120,1),(163,1)}
        17:{1,3,5,7}:{(5,1),(7,1),(30,1),(34,1),(35,1),(74,1),(76,1),(127,1)}
        18:{2,5,7}:{(6,1),(7,1),(31,1),(36,1)}
        19:{3,6,7}:{(7,1),(8,1),(36,1)}
        20:{1,5,6,7}:{(8,1),(37,1),(76,1),(131,1)}
        21:{1,4,5}:{(9,1),(10,1),(13,1),(177,1)}
        22:{2,4,5}:{(9,1),(14,1),(38,1)}
        23:{3,4,5,7}:{(9,1),(15,1),(40,1),(41,1),(42,1),(53,1),(89,1),(147,1),(150,1),(172,1),(177,1)}
        24:{1,2,5}:{(10,1),(11,1),(43,1),(142,1)}
        25:{1,3,5,7}:{(10,1),(12,1),(40,1),(44,1),(45,1),(89,1),(143,1),(181,1),(196,1)}
        26:{2,3,6}:{(11,1),(43,1),(46,1),(49,1)}
        27:{1,2,4,7}:{(11,1),(12,1),(44,1),(46,1),(94,1),(208,1)}
        28:{2,3,6}:{(14,1),(38,1),(47,1),(48,1),(49,1)}
        29:{1,2,4,6}:{(13,1),(14,1),(16,1),(39,1),(47,1),(49,1),(50,1),(54,1),(96,1)}
        30:{1,4,7}:{(13,1),(15,1),(17,1),(150,1)}
        31:{2,4,7}:{(14,1),(15,1),(18,1),(48,1)}
        32:{3,4,6,7}:{(15,1),(19,1),(42,1),(51,1),(52,1),(53,1),(58,1),(102,1),(107,1),(147,1),(150,1)}
        33:{2,3,5,6}:{(16,1),(43,1),(49,1),(54,1),(55,1),(95,1),(100,1),(140,1),(142,1),(148,1),(152,1)}
        34:{1,2,5,7}:{(16,1),(17,1),(18,1),(50,1),(55,1),(56,1),(143,1)}
        35:{1,3,6,7}:{(17,1),(19,1),(45,1),(51,1),(56,1),(102,1),(181,1)}
        36:{2,6,7}:{(18,1),(19,1)}
        37:{3,5,6,7}:{(19,1),(20,1),(53,1),(57,1),(58,1),(107,1)}
        38:{2,3,5}:{(22,1),(28,1),(59,1),(60,1),(62,1)}
        39:{1,2,4,5}:{(21,1),(22,1),(24,1),(29,1),(60,1),(62,1),(67,1),(79,1),(111,1),(120,1)}
        40:{1,4,5,7}:{(21,1),(23,1),(25,1),(30,1),(64,1),(76,1),(167,1),(186,1)}
        41:{2,4,5,7}:{(22,1),(23,1),(31,1),(61,1),(65,1),(77,1),(124,1),(155,1)}
        42:{3,4,6}:{(23,1),(64,1),(65,1),(66,1),(116,1),(161,1)}
        43:{2,3,5}:{(24,1),(26,1),(62,1),(67,1)}
        44:{1,2,5,7}:{(24,1),(25,1),(27,1),(68,1),(69,1),(194,1),(205,1)}
        45:{1,3,6}:{(25,1),(64,1),(69,1),(116,1),(163,1)}
        46:{2,3,7}:{(26,1),(27,1),(74,1),(209,1)}
        47:{1,2,6}:{(28,1),(60,1),(70,1),(71,1)}
        48:{2,3,7}:{(28,1),(31,1),(71,1),(74,1)}
        49:{3,6}:{(29,1),(62,1),(74,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(71,1),(74,1),(80,1),(121,1)}
        51:{1,4,6,7}:{(30,1),(32,1),(35,1),(64,1),(76,1),(131,1),(167,1)}
        52:{2,4,6,7}:{(31,1),(32,1),(36,1),(65,1),(72,1),(77,1),(124,1)}
        53:{3,5,7}:{(32,1),(66,1),(76,1),(77,1),(78,1)}
        54:{2,4,6}:{(33,1),(67,1),(73,1),(79,1),(80,1),(161,1)}
        55:{2,3,5,7}:{(33,1),(34,1),(74,1),(80,1),(81,1),(125,1),(127,1),(130,1)}
        56:{1,2,6,7}:{(34,1),(35,1),(36,1),(69,1),(81,1),(163,1),(194,1)}
        57:{2,5,6,7}:{(36,1),(37,1),(77,1),(82,1)}
        58:{4,6,7}:{(37,1),(78,1)}
        59:{2,3,4}:{(38,1),(83,1),(88,1)}
        60:{1,2,5}:{(38,1),(47,1),(83,1),(85,1)}
        61:{2,3,5,7}:{(38,1),(41,1),(48,1),(84,1),(86,1),(87,1),(89,1),(134,1),(202,1)}
        62:{3,5}:{(39,1),(49,1),(88,1)}
        63:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(44,1),(50,1),(86,1),(89,1),(90,1),(94,1),(103,1),(105,1),(135,1),(142,1),(143,1),(146,1),(150,1),(171,1),(173,1),(177,1),(179,1),(202,1)}
        64:{1,4,6}:{(40,1),(42,1),(45,1),(91,1)}
        65:{2,4,6}:{(41,1),(42,1),(87,1),(92,1)}
        66:{3,5,6}:{(42,1),(53,1),(91,1),(92,1),(93,1)}
        67:{2,4}:{(43,1),(88,1)}
        68:{2,3,5,7}:{(43,1),(44,1),(46,1),(89,1),(94,1),(95,1),(142,1),(182,1),(197,1),(202,1)}
        69:{1,2,6}:{(44,1),(45,1),(95,1)}
        70:{1,3,6}:{(47,1),(49,1),(85,1),(96,1),(97,1)}
        71:{1,2,7}:{(47,1),(48,1),(97,1)}
        72:{2,3,6,7}:{(48,1),(52,1),(87,1),(98,1),(99,1),(102,1),(107,1)}
        73:{3,4,6}:{(49,1),(54,1),(88,1),(96,1),(100,1),(101,1),(148,1)}
        74:{3,7}:{(49,1),(50,1)}
        75:{1,2,4,6,7}:{(50,1),(51,1),(52,1),(56,1),(90,1),(98,1),(102,1),(103,1),(106,1),(144,1),(146,1),(150,1)}
        76:{1,5,7}:{(51,1),(53,1),(91,1)}
        77:{2,5,7}:{(52,1),(53,1),(92,1)}
        78:{4,5,7}:{(53,1),(58,1),(93,1),(150,1)}
        79:{2,4,5}:{(54,1),(100,1),(142,1),(177,1)}
        80:{2,4,7}:{(54,1),(55,1),(101,1),(150,1)}
        81:{2,3,6,7}:{(55,1),(56,1),(95,1),(102,1),(106,1),(148,1),(182,1)}
        82:{2,4,6,7}:{(57,1),(58,1),(104,1),(107,1)}
        83:{1,2,4}:{(59,1),(60,1),(108,1),(111,1)}
        84:{2,3,4,7}:{(59,1),(61,1),(109,1),(110,1),(115,1),(124,1),(166,1),(193,1)}
        85:{1,3,5}:{(60,1),(62,1),(70,1),(108,1),(111,1),(120,1)}
        86:{1,2,5,7}:{(60,1),(61,1),(71,1),(109,1),(112,1),(113,1),(154,1)}
        87:{2,3,6}:{(61,1),(65,1),(113,1),(116,1),(207,1)}
        88:{3,4}:{(62,1),(67,1),(111,1)}
        89:{3,5,7}:{(62,1),(63,1),(74,1),(115,1),(116,1),(160,1),(166,1),(185,1)}
        90:{1,2,4,6}:{(63,1),(64,1),(65,1),(69,1),(113,1),(116,1),(117,1),(119,1),(129,1),(156,1),(161,1),(163,1),(191,1),(207,1)}
        91:{1,5,6}:{(64,1),(66,1),(76,1)}
        92:{2,5,6}:{(65,1),(66,1),(77,1)}
        93:{4,5,6}:{(66,1),(78,1),(161,1)}
        94:{2,4,7}:{(67,1),(68,1),(115,1),(119,1),(204,1)}
        95:{2,3,6}:{(68,1),(69,1),(116,1),(119,1),(207,1)}
        96:{1,4,6}:{(70,1),(73,1),(111,1),(120,1),(121,1),(163,1)}
        97:{1,3,7}:{(70,1),(71,1),(74,1),(121,1)}
        98:{1,2,6,7}:{(71,1),(72,1),(113,1),(122,1),(123,1),(131,1),(207,1)}
        99:{2,3,5,7}:{(72,1),(77,1),(114,1),(123,1),(124,1),(127,1),(128,1),(166,1)}
       100:{3,5}:{(73,1),(79,1),(120,1)}
       101:{3,4,7}:{(73,1),(74,1),(80,1),(121,1),(125,1)}
       102:{3,6,7}:{(74,1),(75,1),(116,1),(127,1),(166,1)}
       103:{1,2,5,7}:{(75,1),(76,1),(77,1),(117,1),(127,1),(130,1),(164,1)}
       104:{2,4,5,7}:{(77,1),(78,1),(82,1),(118,1),(124,1),(128,1)}
       105:{2,4,5,7}:{(79,1),(80,1),(125,1),(129,1),(130,1),(169,1)}
       106:{2,4,6,7}:{(80,1),(81,1),(119,1),(126,1),(129,1),(130,1),(193,1),(207,1)}
       107:{3,6,7}:{(82,1),(128,1),(131,1)}
       108:{1,3}:{(83,1)}
       109:{1,2,4,7}:{(83,1),(84,1),(86,1),(132,1),(133,1),(135,1)}
       110:{2,3,4,6}:{(84,1),(87,1),(133,1),(134,1),(138,1),(139,1),(175,1),(195,1),(199,1)}
       111:{1,4}:{(85,1),(88,1)}
       112:{1,3,5,7}:{(85,1),(86,1),(89,1),(97,1),(132,1),(135,1),(136,1),(143,1),(170,1),(173,1)}
       113:{1,2,6}:{(86,1),(87,1),(136,1)}
       114:{2,3,5,6}:{(87,1),(92,1),(99,1),(134,1),(137,1),(138,1),(140,1),(141,1),(175,1)}
       115:{3,4,7}:{(88,1),(89,1),(94,1),(135,1),(139,1),(150,1),(195,1)}
       116:{3,6}:{(89,1),(90,1)}
       117:{1,2,5,6}:{(90,1),(91,1),(92,1),(103,1),(140,1),(142,1),(152,1),(173,1),(178,1)}
       118:{2,4,5,6}:{(92,1),(93,1),(104,1),(138,1),(141,1)}
       119:{2,4,6}:{(94,1),(95,1),(139,1),(142,1)}
       120:{1,5}:{(96,1),(100,1)}
       121:{1,4,7}:{(96,1),(97,1),(101,1),(143,1)}
       122:{1,3,6,7}:{(97,1),(98,1),(102,1),(136,1),(144,1),(145,1),(201,1)}
       123:{1,2,5,7}:{(98,1),(99,1),(137,1),(145,1),(146,1),(151,1),(202,1)}
       124:{2,4,7}:{(99,1),(138,1),(147,1),(150,1)}
       125:{3,5,7}:{(100,1),(101,1),(105,1),(143,1),(148,1)}
       126:{3,4,6,7}:{(101,1),(102,1),(106,1),(139,1),(144,1),(148,1),(149,1),(150,1),(180,1),(183,1),(201,1)}
       127:{3,5,7}:{(102,1),(103,1),(140,1),(150,1)}
       128:{3,5,7}:{(104,1),(107,1),(141,1),(147,1),(151,1)}
       129:{2,4,6}:{(105,1),(148,1),(152,1),(183,1)}
       130:{2,5,7}:{(106,1),(142,1),(149,1),(152,1)}
       131:{1,6,7}:{(107,1),(151,1)}
       132:{1,3,7}:{(108,1),(109,1),(153,1),(166,1)}
       133:{1,2,4,6}:{(109,1),(110,1),(113,1),(153,1),(154,1),(156,1),(184,1)}
       134:{2,3,5}:{(110,1),(154,1),(155,1),(160,1),(185,1),(206,1)}
       135:{1,4,7}:{(111,1),(112,1),(115,1),(156,1),(184,1)}
       136:{1,3,6}:{(112,1),(113,1),(116,1),(156,1),(163,1)}
       137:{1,2,5,6}:{(113,1),(114,1),(123,1),(154,1),(157,1),(158,1),(162,1),(206,1),(207,1)}
       138:{2,4,6}:{(114,1),(124,1),(155,1),(159,1),(161,1)}
       139:{3,4,6}:{(115,1),(116,1),(119,1),(156,1),(160,1),(161,1)}
       140:{3,5,6}:{(116,1),(117,1),(127,1),(160,1),(161,1)}
       141:{3,5,6}:{(118,1),(128,1),(159,1),(162,1)}
       142:{2,5}:{(119,1),(160,1)}
       143:{1,5,7}:{(120,1),(121,1),(125,1),(163,1)}
       144:{1,4,6,7}:{(121,1),(122,1),(126,1),(156,1),(163,1),(164,1),(165,1),(191,1)}
       145:{1,3,5,7}:{(122,1),(123,1),(127,1),(157,1),(164,1),(165,1),(166,1),(192,1)}
       146:{1,2,4,7}:{(123,1),(124,1),(158,1),(165,1),(166,1),(167,1),(193,1),(194,1)}
       147:{3,4,7}:{(124,1),(128,1),(159,1),(166,1),(167,1)}
       148:{3,6}:{(125,1),(129,1),(163,1)}
       149:{3,5,7}:{(126,1),(130,1),(160,1),(164,1),(168,1),(169,1)}
       150:{4,7}:{(127,1),(161,1)}
       151:{1,5,7}:{(128,1),(131,1),(162,1),(167,1)}
       152:{2,5,6}:{(129,1),(130,1),(168,1),(207,1)}
       153:{1,3,6}:{(132,1),(133,1),(170,1),(175,1)}
       154:{1,2,5}:{(133,1),(134,1),(170,1),(173,1)}
       155:{2,4,5}:{(134,1),(138,1),(172,1),(177,1)}
       156:{1,4,6}:{(135,1),(136,1),(139,1),(173,1)}
       157:{1,3,5,6}:{(136,1),(137,1),(140,1),(145,1),(170,1),(173,1),(174,1),(175,1),(178,1),(198,1),(201,1)}
       158:{1,2,4,6}:{(137,1),(138,1),(146,1),(171,1),(174,1),(175,1),(176,1),(199,1),(200,1)}
       159:{3,4,6}:{(138,1),(141,1),(147,1),(172,1),(175,1),(176,1)}
       160:{3,5}:{(139,1),(142,1),(173,1),(177,1)}
       161:{4,6}:{(140,1),(150,1),(177,1)}
       162:{1,5,6}:{(141,1),(151,1),(176,1)}
       163:{1,6}:{(143,1),(148,1)}
       164:{1,5,7}:{(144,1),(149,1),(173,1),(178,1)}
       165:{1,4,7}:{(145,1),(150,1),(174,1),(180,1)}
       166:{3,7}:{(146,1),(175,1)}
       167:{1,4,7}:{(147,1),(151,1),(176,1),(181,1)}
       168:{3,5,6}:{(148,1),(149,1),(152,1),(178,1),(183,1),(201,1)}
       169:{4,5,7}:{(149,1),(150,1),(177,1),(183,1)}
       170:{1,3,5}:{(153,1),(154,1),(184,1),(185,1)}
       171:{1,2,4,5}:{(154,1),(155,1),(158,1),(184,1),(185,1),(186,1),(187,1),(204,1),(205,1),(206,1)}
       172:{3,4,5}:{(155,1),(159,1),(185,1),(186,1)}
       173:{1,5}:{(156,1),(160,1)}
       174:{1,4,6}:{(157,1),(161,1),(165,1),(184,1),(187,1),(188,1)}
       175:{3,6}:{(158,1),(166,1),(185,1)}
       176:{1,4,6}:{(159,1),(162,1),(167,1),(186,1),(189,1)}
       177:{4,5}:{(160,1),(161,1)}
       178:{1,5,6}:{(163,1),(164,1),(168,1),(191,1)}
       179:{1,4,5,7}:{(164,1),(165,1),(169,1),(187,1),(191,1),(192,1)}
       180:{3,4,7}:{(165,1),(166,1),(188,1),(192,1),(193,1)}
       181:{1,3,7}:{(166,1),(167,1),(189,1),(194,1)}
       182:{2,3,7}:{(166,1),(190,1),(193,1),(194,1)}
       183:{4,6}:{(168,1),(169,1)}
       184:{1,4}:{(170,1),(195,1)}
       185:{3,5}:{(171,1),(175,1),(195,1)}
       186:{1,4,5}:{(172,1),(176,1),(196,1)}
       187:{1,4,5}:{(173,1),(174,1),(177,1),(198,1)}
       188:{3,4,6}:{(174,1),(175,1),(180,1),(195,1),(198,1),(199,1),(201,1)}
       189:{1,3,6}:{(175,1),(176,1),(181,1),(196,1),(200,1)}
       190:{2,3,6}:{(175,1),(182,1),(197,1),(199,1),(200,1)}
       191:{1,4,6}:{(178,1),(179,1),(183,1),(201,1)}
       192:{3,5,7}:{(179,1),(180,1),(198,1),(201,1),(202,1)}
       193:{2,4,7}:{(180,1),(182,1),(199,1),(202,1)}
       194:{1,2,7}:{(181,1),(182,1),(200,1)}
       195:{3,4}:{(184,1),(185,1),(204,1)}
       196:{1,3,5}:{(185,1),(186,1),(189,1),(203,1),(205,1)}
       197:{2,3,5}:{(185,1),(190,1),(204,1),(205,1),(206,1),(209,1)}
       198:{3,5}:{(187,1),(188,1),(206,1)}
       199:{2,4,6}:{(188,1),(190,1),(193,1),(204,1),(206,1),(207,1)}
       200:{1,2,6}:{(189,1),(190,1),(194,1),(205,1)}
       201:{3,6}:{(191,1),(192,1),(207,1)}
       202:{2,5,7}:{(192,1),(193,1),(206,1),(207,1)}
       203:{1,3,4}:{(195,1),(196,1),(208,1)}
       204:{2,4}:{(195,1),(197,1)}
       205:{1,2,5}:{(196,1),(197,1),(200,1),(208,1)}
       206:{2,5}:{(198,1),(199,1)}
       207:{2,6}:{(201,1),(202,1)}
       208:{1,2,4}:{(203,1),(204,1),(205,1),(209,1)}
       209:{2,3}:{(208,1)}

 766 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(25,1),(64,1),(75,1),(77,1),(117,1),(123,1),(134,1)}
         1:{1,2,4,5,7}:{(0,1),(3,1),(4,1),(14,1),(20,1),(45,1),(51,1),(53,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(6,1),(54,1),(144,1),(152,1),(162,1)}
         3:{1,3,5,7}:{(1,1),(8,1),(9,1),(32,1),(123,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(34,1)}
         5:{2,3,4,6,7}:{(2,1),(10,1),(12,1),(38,1),(77,1),(80,1),(137,1)}
         6:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(37,1),(64,1),(185,1)}
         7:{1,2,3,5,7}:{(3,1),(14,1),(15,1),(41,1),(45,1)}
         8:{1,3,4,7}:{(3,1),(14,1),(17,1),(53,1),(95,1)}
         9:{1,3,6}:{(3,1),(4,1),(152,1)}
        10:{1,2,4,6,7}:{(4,1),(5,1),(18,1),(20,1),(53,1)}
        11:{1,2,5,6}:{(4,1),(6,1),(19,1),(20,1),(45,1)}
        12:{2,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(56,1),(164,1)}
        13:{2,4,5,6}:{(6,1),(23,1),(24,1),(89,1),(144,1)}
        14:{1,2,4,7}:{(7,1),(8,1),(25,1),(27,1)}
        15:{1,2,3,6}:{(7,1),(9,1),(27,1),(62,1)}
        16:{1,3,4,5,7}:{(8,1),(26,1),(30,1),(32,1),(71,1),(74,1),(118,1),(123,1),(167,1),(172,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(27,1),(32,1),(34,1),(70,1)}
        18:{1,3,6,7}:{(9,1),(10,1),(33,1),(80,1)}
        19:{1,3,5,6}:{(9,1),(11,1),(32,1),(33,1),(34,1),(37,1)}
        20:{1,2,5,7}:{(10,1),(11,1),(12,1),(33,1)}
        21:{1,2,4,5,6}:{(11,1),(13,1),(34,1),(36,1),(37,1),(40,1),(68,1),(79,1),(83,1),(122,1),(132,1),(185,1)}
        22:{2,3,5,6,7}:{(12,1),(35,1),(38,1),(80,1),(84,1),(116,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(38,1),(39,1)}
        24:{3,4,5,6}:{(13,1),(37,1),(39,1),(40,1),(118,1),(171,1)}
        25:{2,3,4,7}:{(14,1),(41,1),(42,1),(95,1),(142,1)}
        26:{1,2,4,5,7}:{(14,1),(16,1),(41,1),(43,1),(45,1),(89,1),(90,1),(142,1)}
        27:{1,2,4,6}:{(14,1),(15,1),(17,1),(42,1),(45,1)}
        28:{1,2,3,6,7}:{(15,1),(18,1),(44,1),(46,1),(86,1),(111,1),(152,1),(195,1),(198,1)}
        29:{1,2,3,5,6}:{(15,1),(19,1),(45,1),(46,1),(47,1),(58,1),(87,1),(92,1),(94,1),(150,1),(152,1),(155,1),(157,1),(198,1)}
        30:{1,3,4,6}:{(16,1),(43,1),(49,1),(101,1),(143,1),(152,1),(193,1)}
        31:{1,3,4,6,7}:{(17,1),(18,1),(44,1),(50,1),(53,1),(95,1),(101,1),(106,1),(152,1)}
        32:{1,3,5}:{(17,1),(45,1),(51,1),(94,1)}
        33:{1,3,5,7}:{(18,1),(19,1),(20,1),(53,1),(56,1)}
        34:{1,4,6}:{(19,1),(51,1),(53,1),(54,1)}
        35:{1,2,5,6,7}:{(20,1),(22,1),(52,1),(55,1),(92,1),(113,1),(164,1)}
        36:{1,2,4,5,7}:{(20,1),(21,1),(23,1),(53,1),(55,1),(56,1),(61,1),(105,1),(108,1),(112,1),(164,1)}
        37:{3,5,6}:{(21,1),(54,1),(56,1),(94,1),(152,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(60,1),(144,1)}
        39:{3,4,5,7}:{(23,1),(24,1),(56,1),(60,1),(61,1)}
        40:{1,4,5,6}:{(24,1),(57,1),(61,1),(146,1),(193,1)}
        41:{2,3,5,7}:{(25,1),(26,1),(62,1),(64,1),(123,1)}
        42:{2,3,4,6}:{(25,1),(27,1),(62,1),(64,1),(70,1),(115,1)}
        43:{1,2,4,6}:{(26,1),(30,1),(62,1),(66,1),(115,1)}
        44:{1,2,4,6,7}:{(27,1),(28,1),(31,1),(63,1),(67,1),(69,1),(122,1),(137,1),(202,1)}
        45:{1,2,5}:{(27,1),(32,1),(64,1)}
        46:{1,2,3,5,7}:{(28,1),(29,1),(33,1),(67,1),(69,1),(82,1),(114,1),(123,1),(175,1),(180,1),(182,1)}
        47:{1,2,4,6}:{(29,1),(34,1),(68,1),(69,1),(70,1),(79,1),(115,1),(168,1)}
        48:{1,3,4,6,7}:{(30,1),(65,1),(71,1),(129,1),(167,1),(174,1),(202,1)}
        49:{1,3,5,6}:{(30,1),(32,1),(66,1),(71,1),(72,1),(121,1),(205,1)}
        50:{1,3,5,7}:{(31,1),(32,1),(67,1),(73,1),(74,1),(123,1),(136,1)}
        51:{1,4,5}:{(32,1),(34,1),(75,1)}
        52:{1,3,5,6,7}:{(33,1),(35,1),(73,1),(76,1),(80,1),(136,1)}
        53:{1,4,7}:{(33,1),(34,1),(77,1)}
        54:{3,4,6}:{(34,1),(37,1),(75,1),(77,1),(79,1)}
        55:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(76,1),(80,1),(85,1),(122,1),(137,1),(140,1)}
        56:{3,5,7}:{(36,1),(37,1),(77,1),(80,1)}
        57:{1,3,5,6}:{(37,1),(40,1),(78,1),(81,1),(83,1),(124,1),(178,1)}
        58:{2,3,5,6}:{(37,1),(79,1),(82,1),(83,1),(125,1),(139,1),(179,1),(185,1)}
        59:{2,4,5,6,7}:{(38,1),(84,1),(170,1)}
        60:{3,4,6,7}:{(38,1),(39,1),(80,1),(84,1),(85,1),(171,1)}
        61:{1,4,5,7}:{(39,1),(40,1),(81,1),(85,1)}
        62:{2,3,6}:{(41,1),(43,1),(152,1)}
        63:{2,3,4,6,7}:{(42,1),(44,1),(86,1),(88,1),(95,1),(142,1),(144,1),(152,1),(188,1)}
        64:{2,3,5}:{(42,1),(45,1),(89,1),(94,1)}
        65:{1,2,4,6,7}:{(43,1),(48,1),(86,1),(90,1),(142,1)}
        66:{1,2,5,6}:{(43,1),(45,1),(49,1),(87,1),(90,1)}
        67:{1,2,5,7}:{(44,1),(45,1),(50,1),(88,1),(92,1),(164,1),(208,1)}
        68:{1,2,4,5}:{(45,1),(47,1),(51,1),(89,1),(94,1),(104,1),(146,1),(155,1)}
        69:{1,2,4,7}:{(46,1),(47,1),(53,1),(95,1),(108,1),(142,1),(189,1)}
        70:{3,4,6}:{(47,1),(94,1),(95,1),(152,1)}
        71:{1,3,5,7}:{(48,1),(49,1),(90,1),(99,1),(149,1),(208,1)}
        72:{1,4,5,6}:{(49,1),(51,1),(99,1),(100,1),(101,1)}
        73:{1,3,5,6}:{(50,1),(92,1),(101,1),(152,1),(161,1)}
        74:{1,4,5,7}:{(50,1),(51,1),(53,1),(101,1),(102,1)}
        75:{3,4,5}:{(51,1),(54,1),(94,1),(104,1)}
        76:{1,4,6,7}:{(52,1),(53,1),(101,1),(105,1),(106,1)}
        77:{3,4,7}:{(53,1),(54,1),(56,1),(108,1)}
        78:{1,3,4,6}:{(54,1),(57,1),(103,1),(107,1),(109,1)}
        79:{2,4,6}:{(54,1),(58,1),(104,1),(108,1)}
        80:{3,6,7}:{(55,1),(56,1),(152,1)}
        81:{1,3,5,7}:{(56,1),(57,1),(61,1),(107,1),(110,1),(112,1)}
        82:{2,3,5,7}:{(56,1),(58,1),(108,1),(111,1),(112,1),(164,1),(165,1)}
        83:{1,2,5,6}:{(57,1),(58,1),(109,1),(112,1),(155,1),(198,1)}
        84:{3,5,6,7}:{(59,1),(60,1),(113,1),(192,1)}
        85:{1,4,6,7}:{(60,1),(61,1),(110,1),(113,1),(193,1)}
        86:{2,3,6,7}:{(62,1),(65,1),(114,1),(174,1)}
        87:{2,3,5,6}:{(62,1),(64,1),(66,1),(114,1),(115,1),(121,1)}
        88:{2,3,5,7}:{(63,1),(64,1),(67,1),(116,1),(117,1),(123,1),(201,1)}
        89:{2,4,5}:{(64,1),(115,1),(118,1)}
        90:{1,2,5,7}:{(65,1),(66,1),(71,1),(114,1)}
        91:{1,2,4,5,6}:{(66,1),(68,1),(72,1),(115,1),(120,1),(121,1),(122,1),(131,1),(168,1),(170,1),(177,1),(205,1)}
        92:{1,2,5,6}:{(67,1),(73,1),(116,1),(122,1),(185,1),(205,1)}
        93:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(74,1),(117,1),(122,1),(123,1),(134,1),(172,1),(180,1)}
        94:{3,5}:{(68,1),(70,1)}
        95:{3,4,7}:{(69,1),(70,1),(123,1)}
        96:{1,3,4,6}:{(70,1),(124,1),(126,1),(128,1),(168,1),(178,1),(204,1),(206,1)}
        97:{2,3,4,6}:{(70,1),(79,1),(125,1),(127,1),(128,1),(139,1),(179,1),(186,1)}
        98:{1,3,5,6,7}:{(71,1),(73,1),(119,1),(129,1),(174,1),(183,1)}
        99:{1,4,5,7}:{(71,1),(72,1),(129,1),(130,1)}
       100:{3,4,5,6}:{(72,1),(75,1),(121,1),(130,1),(131,1),(133,1)}
       101:{1,4,6}:{(73,1),(74,1),(133,1)}
       102:{3,4,5,7}:{(74,1),(75,1),(77,1),(123,1),(133,1),(134,1),(136,1)}
       103:{1,3,4,5}:{(75,1),(78,1),(124,1),(135,1),(206,1)}
       104:{2,4,5}:{(75,1),(79,1),(125,1)}
       105:{1,4,5,7}:{(76,1),(132,1),(136,1)}
       106:{3,4,6,7}:{(76,1),(77,1),(80,1),(133,1),(136,1),(137,1)}
       107:{1,3,4,7}:{(77,1),(78,1),(81,1),(138,1)}
       108:{2,4,7}:{(77,1),(79,1),(82,1)}
       109:{1,2,4,6}:{(78,1),(79,1),(83,1),(135,1),(138,1),(139,1)}
       110:{1,3,6,7}:{(80,1),(81,1),(85,1),(140,1),(178,1)}
       111:{2,3,6,7}:{(80,1),(82,1),(137,1),(140,1),(179,1)}
       112:{1,2,5,7}:{(81,1),(82,1),(83,1),(138,1),(140,1)}
       113:{1,5,6,7}:{(84,1),(85,1),(205,1)}
       114:{2,3,5,7}:{(86,1),(87,1),(90,1),(142,1),(149,1)}
       115:{2,4,6}:{(87,1),(89,1),(142,1),(143,1)}
       116:{2,3,5,6}:{(88,1),(92,1),(144,1),(152,1),(192,1)}
       117:{2,4,5,7}:{(88,1),(89,1),(142,1),(144,1),(145,1)}
       118:{3,4,5}:{(89,1),(94,1),(143,1),(146,1)}
       119:{1,2,5,6,7}:{(90,1),(92,1),(98,1),(141,1),(148,1),(200,1),(208,1)}
       120:{1,2,4,5,7}:{(90,1),(91,1),(99,1),(142,1),(148,1),(149,1),(160,1),(187,1),(189,1),(197,1),(208,1)}
       121:{3,5,6}:{(91,1),(94,1),(143,1),(149,1),(152,1)}
       122:{1,2,4,6}:{(92,1),(93,1),(101,1),(144,1),(152,1),(162,1),(193,1),(198,1)}
       123:{3,5,7}:{(93,1),(94,1),(95,1),(152,1)}
       124:{1,3,5}:{(94,1),(96,1),(146,1),(155,1)}
       125:{2,3,5}:{(94,1),(97,1),(104,1),(155,1)}
       126:{1,3,4,7}:{(95,1),(96,1),(153,1),(156,1),(189,1),(209,1)}
       127:{2,3,4,7}:{(95,1),(97,1),(108,1),(154,1),(156,1),(165,1)}
       128:{1,2,4,6}:{(96,1),(97,1),(155,1),(156,1),(157,1),(198,1),(199,1)}
       129:{1,4,6,7}:{(98,1),(99,1),(101,1),(159,1)}
       130:{3,4,5,7}:{(99,1),(100,1),(149,1),(159,1),(160,1)}
       131:{2,4,5,6}:{(100,1),(104,1),(151,1),(160,1),(162,1)}
       132:{1,4,5,6}:{(101,1),(105,1),(161,1)}
       133:{3,4,6}:{(101,1),(102,1),(152,1),(161,1),(162,1)}
       134:{2,4,5,7}:{(102,1),(104,1),(108,1),(154,1),(162,1),(164,1)}
       135:{1,2,4,5}:{(103,1),(104,1),(109,1),(155,1),(163,1),(199,1)}
       136:{3,5,7}:{(105,1),(106,1),(161,1),(164,1)}
       137:{2,4,6,7}:{(106,1),(108,1),(111,1),(162,1),(164,1)}
       138:{1,2,4,7}:{(107,1),(108,1),(109,1),(112,1),(165,1)}
       139:{2,3,6}:{(109,1),(163,1),(165,1)}
       140:{1,2,6,7}:{(110,1),(111,1),(112,1),(198,1)}
       141:{2,3,5,6,7}:{(114,1),(116,1),(119,1),(166,1),(174,1),(201,1)}
       142:{2,4,7}:{(114,1),(115,1),(167,1)}
       143:{3,4,6}:{(115,1),(118,1),(121,1),(167,1),(168,1)}
       144:{2,4,6}:{(116,1),(117,1),(171,1)}
       145:{3,4,5,7}:{(117,1),(118,1),(123,1),(167,1),(171,1),(172,1),(201,1)}
       146:{1,4,5}:{(118,1),(124,1),(168,1)}
       147:{2,3,4,5}:{(118,1),(125,1),(169,1),(173,1),(186,1)}
       148:{1,2,4,6,7}:{(119,1),(120,1),(122,1),(129,1),(166,1),(174,1),(184,1),(202,1),(207,1)}
       149:{3,5,7}:{(120,1),(121,1),(167,1),(174,1)}
       150:{1,3,5,6}:{(121,1),(124,1),(168,1),(175,1),(177,1),(178,1),(204,1),(205,1)}
       151:{2,3,5,6}:{(121,1),(125,1),(131,1),(169,1),(176,1),(177,1),(179,1)}
       152:{3,6}:{(122,1),(123,1)}
       153:{1,3,5,7}:{(123,1),(124,1),(126,1),(172,1),(178,1),(180,1)}
       154:{2,3,5,7}:{(123,1),(125,1),(127,1),(134,1),(179,1),(180,1)}
       155:{1,2,5}:{(124,1),(125,1),(128,1)}
       156:{1,2,4,7}:{(126,1),(127,1),(128,1),(180,1),(182,1)}
       157:{1,2,3,6}:{(128,1),(139,1),(181,1),(182,1),(204,1)}
       158:{1,4,5,6,7}:{(129,1),(132,1),(183,1)}
       159:{3,4,6,7}:{(129,1),(130,1),(133,1),(174,1),(183,1),(184,1)}
       160:{2,4,5,7}:{(130,1),(131,1),(176,1),(184,1)}
       161:{3,5,6}:{(132,1),(133,1),(136,1),(185,1)}
       162:{2,4,6}:{(133,1),(134,1),(179,1),(185,1)}
       163:{2,3,5}:{(135,1),(139,1),(186,1)}
       164:{2,5,7}:{(136,1),(137,1),(185,1)}
       165:{2,3,7}:{(138,1),(139,1)}
       166:{2,4,6,7}:{(141,1),(142,1),(144,1),(187,1),(188,1)}
       167:{3,4,7}:{(142,1),(143,1),(149,1),(189,1)}
       168:{1,4,6}:{(143,1),(146,1),(150,1),(189,1)}
       169:{2,3,4,6}:{(143,1),(147,1),(151,1),(190,1),(191,1)}
       170:{2,4,5,6}:{(144,1),(187,1),(192,1)}
       171:{3,4,6}:{(144,1),(145,1),(152,1),(192,1),(193,1)}
       172:{1,4,5,7}:{(145,1),(146,1),(153,1),(189,1),(193,1),(208,1)}
       173:{1,2,4,5}:{(146,1),(147,1),(155,1),(191,1),(194,1),(199,1)}
       174:{3,6,7}:{(148,1),(149,1),(152,1)}
       175:{1,3,5,7}:{(149,1),(150,1),(189,1),(195,1),(197,1),(208,1),(209,1)}
       176:{2,3,5,7}:{(149,1),(151,1),(160,1),(190,1),(196,1),(197,1)}
       177:{1,2,5,6}:{(150,1),(151,1),(155,1),(191,1),(197,1),(198,1)}
       178:{1,3,6}:{(152,1),(153,1),(193,1),(198,1)}
       179:{2,3,6}:{(152,1),(154,1),(162,1),(198,1)}
       180:{1,2,5,7}:{(153,1),(154,1),(155,1),(156,1),(198,1)}
       181:{1,2,3,5}:{(155,1),(157,1),(163,1),(194,1),(199,1)}
       182:{1,2,3,7}:{(156,1),(157,1),(165,1),(209,1)}
       183:{3,5,6,7}:{(158,1),(159,1),(161,1),(200,1)}
       184:{2,4,6,7}:{(159,1),(160,1),(162,1),(196,1),(200,1)}
       185:{2,5,6}:{(161,1),(162,1),(164,1)}
       186:{2,3,4}:{(163,1),(199,1)}
       187:{2,4,5,7}:{(166,1),(170,1),(201,1)}
       188:{3,4,6,7}:{(166,1),(167,1),(171,1),(174,1),(201,1),(202,1)}
       189:{1,4,7}:{(167,1),(168,1),(175,1)}
       190:{2,3,4,7}:{(167,1),(169,1),(176,1),(203,1)}
       191:{1,2,4,6}:{(168,1),(169,1),(173,1),(177,1),(203,1),(204,1)}
       192:{3,5,6}:{(170,1),(171,1),(201,1),(205,1)}
       193:{1,4,6}:{(171,1),(172,1),(178,1),(205,1)}
       194:{1,3,5}:{(173,1),(204,1),(206,1)}
       195:{1,3,6,7}:{(174,1),(175,1),(178,1),(202,1),(207,1)}
       196:{2,3,6,7}:{(174,1),(176,1),(179,1),(184,1),(207,1)}
       197:{1,2,5,7}:{(175,1),(176,1),(177,1),(203,1),(207,1)}
       198:{1,2,6}:{(178,1),(179,1),(180,1)}
       199:{1,2,4}:{(181,1),(186,1),(206,1)}
       200:{2,5,6,7}:{(183,1),(184,1),(185,1)}
       201:{3,5,7}:{(187,1),(188,1),(192,1),(208,1)}
       202:{1,4,6,7}:{(188,1),(189,1),(193,1),(195,1),(208,1)}
       203:{1,2,4,7}:{(189,1),(190,1),(191,1),(197,1),(209,1)}
       204:{1,3,6}:{(191,1),(194,1),(209,1)}
       205:{1,5,6}:{(192,1),(193,1),(208,1)}
       206:{1,3,4}:{(194,1),(199,1)}
       207:{1,2,6,7}:{(195,1),(196,1),(197,1),(198,1)}
       208:{1,5,7}:{(201,1),(202,1),(205,1)}
       209:{1,3,7}:{(203,1),(204,1)}

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

 768 :   0:{2,3,4,6,7}:{(1,1),(2,1),(9,1),(25,1),(29,1),(31,1),(53,1),(59,1),(80,1),(86,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(38,1),(69,1),(96,1),(102,1)}
         2:{2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(75,1),(101,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(9,1),(27,1),(29,1)}
         4:{1,3,6,7}:{(1,1),(10,1),(29,1),(111,1),(115,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(114,1)}
         6:{2,4,5,7}:{(2,1),(9,1),(12,1),(80,1),(88,1)}
         7:{2,3,5,6,7}:{(3,1),(13,1),(14,1),(35,1),(37,1),(64,1),(123,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(40,1),(75,1)}
         9:{2,4,6}:{(3,1),(6,1),(18,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(125,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(46,1),(47,1),(75,1),(96,1),(103,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(49,1),(81,1),(84,1),(112,1)}
        14:{2,4,6,7}:{(7,1),(9,1),(22,1),(25,1),(80,1),(131,1)}
        15:{2,4,5,6}:{(9,1),(22,1),(27,1)}
        16:{1,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(59,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(27,1),(29,1),(30,1)}
        19:{1,4,7}:{(10,1),(28,1),(31,1),(132,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(111,1),(116,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(32,1),(49,1),(79,1),(87,1)}
        22:{2,4,5,7}:{(14,1),(15,1),(35,1),(136,1)}
        23:{1,3,5,6,7}:{(13,1),(16,1),(36,1),(37,1),(63,1),(66,1),(97,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(36,1),(37,1),(38,1),(68,1),(69,1),(96,1),(121,1)}
        25:{3,4,6,7}:{(14,1),(18,1),(35,1),(37,1),(38,1),(62,1),(135,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(39,1),(40,1),(41,1),(65,1),(71,1),(72,1),(73,1),(75,1),(98,1),(103,1),(121,1),(136,1),(139,1)}
        27:{3,5,6}:{(15,1),(18,1),(35,1),(40,1)}
        28:{1,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{1,4,6}:{(18,1),(21,1),(40,1),(43,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(46,1),(126,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(47,1),(74,1)}
        33:{2,3,5,7}:{(20,1),(44,1),(46,1),(47,1),(75,1),(77,1),(105,1)}
        34:{1,2,4,5,7}:{(22,1),(24,1),(26,1),(48,1),(49,1),(50,1),(79,1),(80,1),(81,1),(84,1)}
        35:{3,5,7}:{(22,1),(25,1),(27,1),(49,1),(138,1)}
        36:{1,4,6,7}:{(23,1),(28,1),(50,1),(51,1),(79,1),(108,1)}
        37:{3,6,7}:{(24,1),(29,1),(48,1),(111,1),(129,1)}
        38:{1,4,6,7}:{(25,1),(30,1),(49,1),(52,1),(79,1),(137,1)}
        39:{3,5,6}:{(26,1),(29,1),(48,1),(54,1),(57,1),(116,1),(129,1),(138,1)}
        40:{1,5,6}:{(27,1),(30,1),(49,1)}
        41:{1,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(59,1)}
        43:{1,3,6}:{(29,1),(30,1),(32,1),(60,1)}
        44:{2,3,6}:{(29,1),(33,1),(59,1),(60,1)}
        45:{1,3,4,7}:{(31,1),(32,1),(58,1),(61,1),(79,1),(111,1)}
        46:{2,4,7}:{(31,1),(33,1),(59,1),(117,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(37,1),(39,1),(62,1)}
        49:{1,5,7}:{(35,1),(38,1),(40,1),(139,1)}
        50:{1,4,5,7}:{(36,1),(41,1),(65,1),(66,1)}
        51:{3,4,6,7}:{(36,1),(37,1),(42,1),(62,1),(66,1),(68,1),(93,1)}
        52:{1,3,6,7}:{(37,1),(38,1),(43,1),(63,1),(69,1),(133,1)}
        53:{2,3,6,7}:{(37,1),(44,1),(64,1),(68,1),(69,1),(118,1)}
        54:{3,4,6}:{(39,1),(62,1),(70,1),(71,1),(72,1),(104,1),(126,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(63,1),(71,1),(73,1),(74,1),(104,1),(125,1),(133,1),(139,1)}
        56:{2,3,5,6}:{(39,1),(44,1),(64,1),(72,1),(73,1),(75,1),(98,1),(101,1),(104,1),(105,1),(118,1)}
        57:{3,5}:{(41,1),(42,1),(75,1)}
        58:{1,3,4,6}:{(42,1),(43,1),(45,1),(71,1),(74,1),(76,1),(104,1),(126,1)}
        59:{2,4,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(54,1),(79,1),(80,1),(111,1)}
        63:{1,3,5,7}:{(48,1),(49,1),(52,1),(55,1),(79,1),(81,1),(111,1)}
        64:{2,3,5,7}:{(48,1),(53,1),(56,1),(80,1),(81,1),(84,1),(111,1)}
        65:{1,4,5,6}:{(50,1),(82,1),(108,1)}
        66:{3,5,7}:{(50,1),(51,1),(57,1),(82,1),(84,1)}
        67:{1,3,4,6,7}:{(51,1),(52,1),(58,1),(79,1),(83,1),(85,1),(108,1),(111,1),(129,1),(130,1),(137,1)}
        68:{2,4,6,7}:{(51,1),(53,1),(59,1),(80,1),(84,1),(109,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(60,1),(81,1),(127,1)}
        70:{3,4,5}:{(54,1),(57,1),(87,1),(88,1),(116,1),(138,1)}
        71:{1,4,6}:{(54,1),(55,1),(79,1),(87,1),(132,1)}
        72:{2,4,6}:{(54,1),(56,1),(80,1),(88,1),(117,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(60,1),(81,1),(89,1),(90,1),(114,1),(127,1)}
        74:{1,3,5}:{(57,1),(58,1),(87,1),(90,1),(116,1)}
        75:{2,5}:{(57,1),(59,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{2,3,7}:{(61,1),(91,1),(111,1)}
        78:{3,4,5,7}:{(62,1),(66,1),(70,1),(93,1),(94,1),(95,1),(122,1)}
        79:{1,4,7}:{(62,1),(63,1),(71,1)}
        80:{2,4,7}:{(62,1),(64,1),(72,1)}
        81:{1,2,5,7}:{(63,1),(64,1),(69,1),(73,1),(96,1)}
        82:{3,5,6}:{(65,1),(66,1),(93,1),(98,1)}
        83:{1,3,5,7}:{(66,1),(67,1),(74,1),(94,1),(97,1),(99,1),(122,1),(139,1)}
        84:{2,5,7}:{(66,1),(68,1),(75,1),(98,1)}
        85:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(96,1),(99,1),(100,1),(121,1),(124,1)}
        86:{2,3,4,6}:{(72,1),(92,1),(101,1),(102,1),(104,1),(118,1),(126,1),(135,1)}
        87:{1,4,5}:{(70,1),(71,1),(74,1),(139,1)}
        88:{2,4,5}:{(70,1),(72,1),(75,1),(101,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(73,1),(96,1),(103,1),(104,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{2,3,6}:{(76,1),(77,1),(104,1),(105,1)}
        92:{2,3,4,7}:{(80,1),(86,1),(106,1),(107,1),(111,1),(130,1)}
        93:{3,4,6}:{(78,1),(82,1),(108,1),(109,1),(129,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(108,1)}
        95:{2,4,5,7}:{(78,1),(80,1),(84,1),(88,1),(106,1),(109,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(89,1),(111,1)}
        97:{1,3,5,6}:{(82,1),(83,1),(108,1),(112,1),(129,1)}
        98:{2,5,6}:{(82,1),(84,1),(109,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(85,1),(90,1),(112,1),(113,1)}
       100:{2,3,6,7}:{(85,1),(91,1),(111,1),(113,1),(129,1)}
       101:{2,3,5}:{(86,1),(88,1),(114,1),(116,1),(138,1)}
       102:{1,2,4,6}:{(86,1),(107,1),(114,1),(115,1),(127,1),(132,1),(137,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(89,1),(90,1),(114,1),(116,1),(117,1),(132,1)}
       104:{3,6}:{(89,1),(111,1),(116,1)}
       105:{2,3,5}:{(90,1),(91,1),(116,1),(117,1)}
       106:{2,3,5,7}:{(92,1),(95,1),(101,1),(118,1),(119,1),(122,1)}
       107:{1,2,4,7}:{(92,1),(102,1),(119,1),(120,1),(134,1)}
       108:{1,4,6}:{(93,1),(94,1),(97,1)}
       109:{2,4,6}:{(93,1),(95,1),(98,1),(118,1)}
       110:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(103,1),(119,1),(121,1),(122,1),(124,1),(134,1),(136,1),(139,1)}
       111:{3,7}:{(96,1),(104,1)}
       112:{1,2,5,6}:{(97,1),(98,1),(99,1),(121,1),(123,1),(139,1)}
       113:{2,3,5,7}:{(99,1),(100,1),(105,1),(122,1),(123,1),(124,1)}
       114:{1,2,5}:{(101,1),(102,1),(125,1),(139,1)}
       115:{1,3,6}:{(102,1),(104,1),(120,1),(125,1)}
       116:{3,5}:{(103,1),(104,1),(126,1)}
       117:{2,4}:{(105,1),(126,1)}
       118:{2,3,6}:{(106,1),(109,1),(127,1),(129,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(114,1),(127,1),(128,1)}
       120:{1,3,7}:{(107,1),(111,1),(115,1)}
       121:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1),(131,1),(137,1)}
       122:{3,5,7}:{(110,1),(111,1),(116,1),(129,1),(130,1),(138,1)}
       123:{2,3,5,6}:{(112,1),(113,1),(129,1),(131,1),(138,1)}
       124:{2,4,7}:{(113,1),(117,1),(130,1),(131,1)}
       125:{1,3,5}:{(114,1),(115,1),(116,1),(132,1)}
       126:{3,4}:{(116,1),(117,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{1,3,5,7}:{(119,1),(120,1),(122,1),(125,1),(133,1),(134,1),(139,1)}
       129:{3,6}:{(121,1),(122,1)}
       130:{3,4,7}:{(122,1),(124,1),(126,1),(134,1),(135,1)}
       131:{2,4,6}:{(123,1),(124,1),(135,1),(136,1)}
       132:{1,4}:{(125,1),(126,1)}
       133:{1,3,6}:{(127,1),(128,1),(129,1),(137,1)}
       134:{1,4,7}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,4,6}:{(129,1),(130,1),(131,1),(137,1),(138,1)}
       136:{2,4,5}:{(131,1),(138,1)}
       137:{1,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

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

 770 :   0:{1,4,5,6}:{(3,1),(4,1),(25,1),(32,1),(82,1)}
         1:{1,3,4,6}:{(6,1),(7,1),(8,1),(25,1),(37,1),(72,1),(86,1),(120,1),(137,1)}
         2:{1,5,6,7}:{(9,1),(11,1),(90,1),(94,1)}
         3:{1,4,5,7}:{(0,1),(11,1),(12,1),(43,1),(45,1),(94,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(14,1)}
         5:{3,4,5}:{(10,1),(16,1),(17,1),(60,1)}
         6:{1,3,5}:{(1,1),(16,1),(19,1),(60,1),(144,1),(159,1)}
         7:{1,3,4,7}:{(1,1),(18,1),(20,1),(45,1),(97,1),(113,1),(143,1),(184,1)}
         8:{1,2,4,6}:{(1,1),(19,1),(20,1),(21,1),(61,1),(63,1),(114,1)}
         9:{3,5,6,7}:{(2,1),(22,1),(23,1),(27,1),(65,1),(68,1)}
        10:{3,4,6}:{(4,1),(5,1),(24,1),(25,1),(26,1),(72,1)}
        11:{1,4,6,7}:{(2,1),(3,1),(23,1),(27,1)}
        12:{3,5,7}:{(3,1),(4,1),(24,1),(27,1),(29,1)}
        13:{1,3,5,6}:{(4,1),(6,1),(25,1),(28,1),(30,1),(37,1),(72,1),(82,1),(136,1)}
        14:{2,5,6}:{(4,1),(26,1),(29,1)}
        15:{3,4,5,7}:{(5,1),(24,1),(33,1),(34,1),(35,1),(68,1),(85,1),(115,1),(127,1),(165,1),(176,1)}
        16:{1,4,5}:{(5,1),(6,1),(25,1),(176,1)}
        17:{2,4,5}:{(5,1),(26,1),(31,1)}
        18:{1,3,5,7}:{(6,1),(7,1),(34,1),(37,1),(38,1),(85,1),(160,1),(164,1),(169,1)}
        19:{1,2,5}:{(6,1),(8,1),(39,1),(138,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(38,1),(40,1),(88,1),(196,1)}
        21:{2,3,6}:{(8,1),(39,1),(40,1),(72,1)}
        22:{2,5,6,7}:{(9,1),(41,1),(49,1),(95,1)}
        23:{4,6,7}:{(9,1),(43,1)}
        24:{3,4,7}:{(10,1),(12,1),(45,1),(46,1),(97,1)}
        25:{1,4,6}:{(10,1),(13,1),(16,1),(45,1),(158,1)}
        26:{2,4,6}:{(10,1),(14,1),(17,1),(42,1),(46,1)}
        27:{3,6,7}:{(11,1),(12,1),(49,1)}
        28:{1,3,5,7}:{(12,1),(13,1),(45,1),(48,1),(50,1),(94,1),(97,1),(145,1)}
        29:{2,5,7}:{(12,1),(14,1),(46,1),(49,1)}
        30:{1,2,5,6}:{(13,1),(14,1),(19,1),(47,1),(50,1),(51,1),(61,1),(144,1),(181,1)}
        31:{2,3,5}:{(17,1),(42,1),(52,1),(55,1),(60,1)}
        32:{4,5,6}:{(43,1),(56,1),(158,1)}
        33:{3,4,6}:{(15,1),(56,1),(57,1),(58,1),(112,1),(158,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(18,1),(45,1),(57,1),(94,1),(139,1),(150,1)}
        35:{2,4,5,7}:{(15,1),(17,1),(46,1),(54,1),(58,1),(95,1),(140,1),(151,1)}
        36:{1,2,4,5}:{(16,1),(17,1),(19,1),(47,1),(55,1),(60,1),(63,1),(101,1),(110,1),(144,1)}
        37:{1,3,6}:{(18,1),(57,1),(61,1),(112,1),(181,1)}
        38:{1,2,5,7}:{(18,1),(19,1),(20,1),(61,1),(62,1),(177,1),(185,1)}
        39:{2,3,5}:{(19,1),(21,1),(60,1),(63,1)}
        40:{2,3,7}:{(20,1),(21,1),(97,1),(204,1)}
        41:{2,4,6,7}:{(22,1),(23,1),(64,1),(65,1)}
        42:{2,3,6}:{(26,1),(31,1),(66,1),(67,1),(72,1)}
        43:{4,5,7}:{(23,1),(32,1),(68,1),(165,1)}
        44:{3,4,6,7}:{(23,1),(24,1),(27,1),(33,1),(65,1),(68,1),(69,1),(70,1),(115,1),(122,1),(165,1)}
        45:{1,4,7}:{(24,1),(25,1),(28,1),(165,1)}
        46:{2,4,7}:{(24,1),(26,1),(29,1),(66,1)}
        47:{1,2,4,6}:{(25,1),(26,1),(30,1),(36,1),(67,1),(71,1),(72,1),(75,1),(120,1)}
        48:{1,3,6,7}:{(27,1),(28,1),(37,1),(69,1),(73,1),(122,1),(160,1)}
        49:{2,6,7}:{(27,1),(29,1)}
        50:{1,2,5,7}:{(28,1),(29,1),(30,1),(71,1),(73,1),(74,1),(164,1)}
        51:{2,3,5,6}:{(30,1),(39,1),(72,1),(74,1),(75,1),(87,1),(124,1),(136,1),(138,1),(167,1),(168,1)}
        52:{2,3,4}:{(31,1),(77,1),(86,1)}
        53:{2,4,5,6}:{(32,1),(64,1),(78,1),(83,1),(132,1)}
        54:{2,3,5,7}:{(31,1),(35,1),(66,1),(76,1),(79,1),(80,1),(85,1),(128,1),(207,1)}
        55:{1,2,5}:{(31,1),(67,1),(77,1),(81,1)}
        56:{3,5,6}:{(32,1),(33,1),(68,1),(82,1),(83,1)}
        57:{1,4,6}:{(33,1),(34,1),(37,1),(82,1)}
        58:{2,4,6}:{(33,1),(35,1),(79,1),(83,1)}
        59:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(38,1),(71,1),(80,1),(84,1),(85,1),(88,1),(121,1),(126,1),(135,1),(138,1),(161,1),(164,1),(165,1),(170,1),(175,1),(176,1),(193,1),(207,1)}
        60:{3,5}:{(36,1),(72,1),(86,1)}
        61:{1,2,6}:{(37,1),(38,1),(87,1)}
        62:{2,3,5,7}:{(38,1),(39,1),(40,1),(85,1),(87,1),(88,1),(138,1),(191,1),(197,1),(207,1)}
        63:{2,4}:{(39,1),(86,1)}
        64:{2,4,5,7}:{(41,1),(43,1),(53,1),(89,1),(95,1),(140,1)}
        65:{3,6,7}:{(41,1),(89,1),(90,1)}
        66:{2,3,7}:{(42,1),(46,1),(92,1),(97,1)}
        67:{1,2,6}:{(42,1),(55,1),(92,1),(93,1)}
        68:{3,5,7}:{(43,1),(44,1),(56,1),(94,1),(95,1)}
        69:{1,4,6,7}:{(44,1),(45,1),(48,1),(57,1),(90,1),(94,1),(139,1)}
        70:{2,4,6,7}:{(44,1),(46,1),(49,1),(58,1),(91,1),(95,1),(140,1)}
        71:{1,2,4,7}:{(45,1),(46,1),(47,1),(50,1),(92,1),(97,1),(100,1),(143,1)}
        72:{3,6}:{(47,1),(60,1),(97,1)}
        73:{1,2,6,7}:{(48,1),(49,1),(50,1),(61,1),(99,1),(177,1),(181,1)}
        74:{2,3,5,7}:{(50,1),(51,1),(97,1),(99,1),(100,1),(145,1),(147,1),(148,1)}
        75:{2,4,6}:{(51,1),(63,1),(98,1),(100,1),(101,1),(158,1)}
        76:{2,3,4,7}:{(52,1),(54,1),(102,1),(103,1),(113,1),(140,1),(178,1),(201,1)}
        77:{1,2,4}:{(52,1),(55,1),(104,1),(110,1)}
        78:{3,5,6}:{(53,1),(89,1),(105,1),(106,1)}
        79:{2,3,6}:{(54,1),(58,1),(108,1),(112,1),(209,1)}
        80:{1,2,5,7}:{(54,1),(55,1),(92,1),(103,1),(108,1),(109,1),(152,1)}
        81:{1,3,5}:{(55,1),(60,1),(93,1),(104,1),(110,1),(144,1)}
        82:{1,5,6}:{(56,1),(57,1),(94,1)}
        83:{2,5,6}:{(56,1),(58,1),(95,1)}
        84:{1,2,4,6}:{(57,1),(58,1),(59,1),(61,1),(108,1),(111,1),(112,1),(114,1),(149,1),(157,1),(158,1),(181,1),(203,1),(209,1)}
        85:{3,5,7}:{(59,1),(60,1),(97,1),(112,1),(113,1),(159,1),(178,1),(186,1)}
        86:{3,4}:{(60,1),(63,1),(110,1)}
        87:{2,3,6}:{(61,1),(62,1),(112,1),(114,1),(209,1)}
        88:{2,4,7}:{(62,1),(63,1),(113,1),(114,1),(205,1)}
        89:{3,5,7}:{(64,1),(65,1),(78,1),(115,1),(116,1)}
        90:{1,6,7}:{(65,1),(116,1)}
        91:{2,3,6,7}:{(65,1),(66,1),(70,1),(79,1),(117,1),(118,1),(122,1)}
        92:{1,2,7}:{(66,1),(67,1),(119,1)}
        93:{1,3,6}:{(67,1),(72,1),(81,1),(119,1),(120,1)}
        94:{1,5,7}:{(68,1),(69,1),(82,1)}
        95:{2,5,7}:{(68,1),(70,1),(83,1)}
        96:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(73,1),(84,1),(118,1),(121,1),(122,1),(125,1),(161,1),(163,1),(165,1)}
        97:{3,7}:{(71,1),(72,1)}
        98:{3,4,6}:{(72,1),(75,1),(86,1),(120,1),(123,1),(124,1),(167,1)}
        99:{2,3,6,7}:{(73,1),(74,1),(87,1),(122,1),(125,1),(167,1),(191,1)}
       100:{2,4,7}:{(74,1),(75,1),(123,1),(165,1)}
       101:{2,4,5}:{(75,1),(124,1),(138,1),(176,1)}
       102:{2,3,4,6}:{(76,1),(79,1),(128,1),(129,1),(132,1),(137,1),(173,1),(198,1),(199,1)}
       103:{1,2,4,7}:{(76,1),(77,1),(80,1),(129,1),(130,1),(135,1)}
       104:{1,3}:{(77,1)}
       105:{3,4,6}:{(78,1),(115,1),(127,1),(131,1),(132,1),(173,1)}
       106:{1,5,6}:{(78,1),(116,1),(131,1)}
       107:{2,3,5,6}:{(78,1),(79,1),(83,1),(117,1),(128,1),(132,1),(133,1),(136,1),(173,1)}
       108:{1,2,6}:{(79,1),(80,1),(134,1)}
       109:{1,3,5,7}:{(80,1),(81,1),(85,1),(119,1),(130,1),(134,1),(135,1),(164,1),(171,1),(175,1)}
       110:{1,4}:{(81,1),(86,1)}
       111:{1,2,5,6}:{(82,1),(83,1),(84,1),(121,1),(136,1),(138,1),(168,1),(175,1),(194,1)}
       112:{3,6}:{(84,1),(85,1)}
       113:{3,4,7}:{(85,1),(86,1),(88,1),(135,1),(137,1),(165,1),(198,1)}
       114:{2,4,6}:{(87,1),(88,1),(137,1),(138,1)}
       115:{3,4,7}:{(89,1),(105,1),(139,1),(140,1),(178,1)}
       116:{1,5,7}:{(89,1),(90,1),(106,1),(139,1)}
       117:{2,3,5,7}:{(89,1),(91,1),(95,1),(107,1),(140,1),(141,1),(145,1),(178,1)}
       118:{1,2,6,7}:{(90,1),(91,1),(92,1),(108,1),(141,1),(142,1),(209,1)}
       119:{1,3,7}:{(92,1),(93,1),(97,1),(143,1)}
       120:{1,4,6}:{(93,1),(98,1),(110,1),(143,1),(144,1),(181,1)}
       121:{1,2,5,7}:{(94,1),(95,1),(96,1),(111,1),(145,1),(148,1),(180,1)}
       122:{3,6,7}:{(96,1),(97,1),(112,1),(145,1),(178,1)}
       123:{3,4,7}:{(97,1),(98,1),(100,1),(143,1),(147,1)}
       124:{3,5}:{(98,1),(101,1),(144,1)}
       125:{2,4,6,7}:{(99,1),(100,1),(114,1),(146,1),(148,1),(149,1),(201,1),(209,1)}
       126:{2,4,5,7}:{(100,1),(101,1),(147,1),(148,1),(149,1),(182,1)}
       127:{3,4,5}:{(105,1),(150,1),(151,1),(186,1)}
       128:{2,3,5}:{(102,1),(151,1),(152,1),(159,1),(186,1),(206,1)}
       129:{1,2,4,6}:{(102,1),(103,1),(108,1),(152,1),(153,1),(157,1),(187,1)}
       130:{1,3,7}:{(103,1),(104,1),(153,1),(178,1)}
       131:{1,4,6}:{(105,1),(106,1),(139,1),(150,1),(154,1)}
       132:{2,4,6}:{(105,1),(107,1),(140,1),(151,1),(158,1)}
       133:{1,2,5,6}:{(106,1),(107,1),(108,1),(141,1),(152,1),(155,1),(156,1),(206,1),(209,1)}
       134:{1,3,6}:{(108,1),(109,1),(112,1),(157,1),(181,1)}
       135:{1,4,7}:{(109,1),(110,1),(113,1),(157,1),(187,1)}
       136:{3,5,6}:{(111,1),(112,1),(145,1),(158,1),(159,1)}
       137:{3,4,6}:{(112,1),(113,1),(114,1),(157,1),(158,1),(159,1)}
       138:{2,5}:{(114,1),(159,1)}
       139:{1,4,7}:{(115,1),(116,1),(131,1),(160,1)}
       140:{2,4,7}:{(115,1),(117,1),(132,1),(165,1)}
       141:{1,2,5,7}:{(116,1),(117,1),(118,1),(133,1),(161,1),(162,1),(207,1)}
       142:{1,3,6,7}:{(118,1),(119,1),(122,1),(134,1),(162,1),(163,1),(208,1)}
       143:{1,4,7}:{(119,1),(120,1),(123,1),(164,1)}
       144:{1,5}:{(120,1),(124,1)}
       145:{3,5,7}:{(121,1),(122,1),(136,1),(165,1)}
       146:{3,4,6,7}:{(122,1),(123,1),(125,1),(137,1),(163,1),(165,1),(166,1),(167,1),(192,1),(195,1),(208,1)}
       147:{3,5,7}:{(123,1),(124,1),(126,1),(164,1),(167,1)}
       148:{2,5,7}:{(125,1),(138,1),(166,1),(168,1)}
       149:{2,4,6}:{(126,1),(167,1),(168,1),(195,1)}
       150:{1,4,5}:{(127,1),(131,1),(169,1)}
       151:{2,4,5}:{(127,1),(128,1),(132,1),(176,1)}
       152:{1,2,5}:{(128,1),(129,1),(171,1),(175,1)}
       153:{1,3,6}:{(129,1),(130,1),(171,1),(173,1)}
       154:{1,3,6}:{(131,1),(160,1),(169,1),(172,1),(173,1)}
       155:{1,2,4,6}:{(131,1),(132,1),(133,1),(161,1),(170,1),(172,1),(173,1),(174,1),(199,1)}
       156:{1,3,5,6}:{(133,1),(134,1),(136,1),(162,1),(171,1),(173,1),(174,1),(175,1),(194,1),(200,1),(208,1)}
       157:{1,4,6}:{(134,1),(135,1),(137,1),(175,1)}
       158:{4,6}:{(136,1),(165,1),(176,1)}
       159:{3,5}:{(137,1),(138,1),(175,1),(176,1)}
       160:{1,3,7}:{(139,1),(154,1),(177,1),(178,1)}
       161:{1,2,4,7}:{(139,1),(140,1),(141,1),(155,1),(177,1),(178,1),(179,1),(201,1)}
       162:{1,3,5,7}:{(141,1),(142,1),(145,1),(156,1),(178,1),(179,1),(180,1),(202,1)}
       163:{1,4,6,7}:{(142,1),(143,1),(146,1),(157,1),(179,1),(180,1),(181,1),(203,1)}
       164:{1,5,7}:{(143,1),(144,1),(147,1),(181,1)}
       165:{4,7}:{(145,1),(158,1)}
       166:{3,5,7}:{(146,1),(148,1),(159,1),(180,1),(182,1),(183,1)}
       167:{3,6}:{(147,1),(149,1),(181,1)}
       168:{2,5,6}:{(148,1),(149,1),(183,1),(209,1)}
       169:{1,3,5}:{(150,1),(154,1),(184,1),(185,1),(186,1)}
       170:{1,2,4,5}:{(150,1),(151,1),(152,1),(155,1),(185,1),(186,1),(187,1),(190,1),(205,1),(206,1)}
       171:{1,3,5}:{(152,1),(153,1),(186,1),(187,1)}
       172:{1,2,6}:{(154,1),(177,1),(185,1),(188,1)}
       173:{3,6}:{(155,1),(178,1),(186,1)}
       174:{1,4,6}:{(156,1),(158,1),(179,1),(187,1),(189,1),(190,1)}
       175:{1,5}:{(157,1),(159,1)}
       176:{4,5}:{(158,1),(159,1)}
       177:{1,2,7}:{(160,1),(172,1),(191,1)}
       178:{3,7}:{(161,1),(173,1)}
       179:{1,4,7}:{(162,1),(165,1),(174,1),(192,1)}
       180:{1,5,7}:{(163,1),(166,1),(175,1),(194,1)}
       181:{1,6}:{(164,1),(167,1)}
       182:{4,5,7}:{(165,1),(166,1),(176,1),(195,1)}
       183:{3,5,6}:{(166,1),(167,1),(168,1),(194,1),(195,1),(208,1)}
       184:{1,3,4}:{(169,1),(196,1),(198,1)}
       185:{1,2,5}:{(169,1),(172,1),(196,1),(197,1)}
       186:{3,5}:{(170,1),(173,1),(198,1)}
       187:{1,4}:{(171,1),(198,1)}
       188:{2,3,6}:{(172,1),(173,1),(191,1),(197,1),(199,1)}
       189:{3,4,6}:{(173,1),(174,1),(192,1),(198,1),(199,1),(200,1),(208,1)}
       190:{1,4,5}:{(174,1),(175,1),(176,1),(200,1)}
       191:{2,3,7}:{(177,1),(178,1),(188,1),(201,1)}
       192:{3,4,7}:{(178,1),(179,1),(189,1),(201,1),(202,1)}
       193:{1,4,5,7}:{(179,1),(180,1),(182,1),(190,1),(202,1),(203,1)}
       194:{1,5,6}:{(180,1),(181,1),(183,1),(203,1)}
       195:{4,6}:{(182,1),(183,1)}
       196:{1,2,4}:{(184,1),(185,1),(204,1),(205,1)}
       197:{2,3,5}:{(185,1),(186,1),(188,1),(204,1),(205,1),(206,1)}
       198:{3,4}:{(186,1),(187,1),(205,1)}
       199:{2,4,6}:{(188,1),(189,1),(201,1),(205,1),(206,1),(209,1)}
       200:{3,5}:{(189,1),(190,1),(206,1)}
       201:{2,4,7}:{(191,1),(192,1),(199,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(200,1),(207,1),(208,1)}
       203:{1,4,6}:{(193,1),(194,1),(195,1),(208,1)}
       204:{2,3}:{(196,1)}
       205:{2,4}:{(197,1),(198,1)}
       206:{2,5}:{(199,1),(200,1)}
       207:{2,5,7}:{(201,1),(202,1),(206,1),(209,1)}
       208:{3,6}:{(202,1),(203,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

 771 :   0:{2,4,5,6}:{(3,1),(4,1),(26,1),(32,1),(83,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(26,1),(37,1),(72,1),(86,1),(120,1),(137,1)}
         2:{2,5,6,7}:{(9,1),(11,1),(91,1),(95,1)}
         3:{2,4,5,7}:{(0,1),(11,1),(12,1),(43,1),(46,1),(95,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(13,1)}
         5:{3,4,5}:{(10,1),(16,1),(17,1),(60,1)}
         6:{2,3,5}:{(1,1),(17,1),(19,1),(60,1),(144,1),(159,1)}
         7:{2,3,4,7}:{(1,1),(18,1),(20,1),(46,1),(97,1),(113,1),(143,1),(184,1)}
         8:{1,2,4,6}:{(1,1),(19,1),(20,1),(21,1),(61,1),(63,1),(114,1)}
         9:{3,5,6,7}:{(2,1),(22,1),(23,1),(27,1),(65,1),(68,1)}
        10:{3,4,6}:{(4,1),(5,1),(24,1),(25,1),(26,1),(72,1)}
        11:{2,4,6,7}:{(2,1),(3,1),(23,1),(27,1)}
        12:{3,5,7}:{(3,1),(4,1),(24,1),(27,1),(28,1)}
        13:{1,5,6}:{(4,1),(25,1),(28,1)}
        14:{2,3,5,6}:{(4,1),(6,1),(26,1),(29,1),(30,1),(37,1),(72,1),(83,1),(136,1)}
        15:{3,4,5,7}:{(5,1),(24,1),(33,1),(34,1),(35,1),(68,1),(85,1),(115,1),(127,1),(165,1),(176,1)}
        16:{1,4,5}:{(5,1),(25,1),(31,1)}
        17:{2,4,5}:{(5,1),(6,1),(26,1),(176,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(35,1),(37,1),(38,1),(85,1),(160,1),(164,1),(169,1)}
        19:{1,2,5}:{(6,1),(8,1),(39,1),(138,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(38,1),(40,1),(88,1),(196,1)}
        21:{1,3,6}:{(8,1),(39,1),(40,1),(72,1)}
        22:{1,5,6,7}:{(9,1),(41,1),(48,1),(94,1)}
        23:{4,6,7}:{(9,1),(43,1)}
        24:{3,4,7}:{(10,1),(12,1),(45,1),(46,1),(97,1)}
        25:{1,4,6}:{(10,1),(13,1),(16,1),(42,1),(45,1)}
        26:{2,4,6}:{(10,1),(14,1),(17,1),(46,1),(158,1)}
        27:{3,6,7}:{(11,1),(12,1),(48,1)}
        28:{1,5,7}:{(12,1),(13,1),(45,1),(48,1)}
        29:{2,3,5,7}:{(12,1),(14,1),(46,1),(49,1),(50,1),(95,1),(97,1),(145,1)}
        30:{1,2,5,6}:{(13,1),(14,1),(19,1),(47,1),(50,1),(51,1),(61,1),(144,1),(181,1)}
        31:{1,3,5}:{(16,1),(42,1),(52,1),(55,1),(60,1)}
        32:{4,5,6}:{(43,1),(56,1),(158,1)}
        33:{3,4,6}:{(15,1),(56,1),(57,1),(58,1),(112,1),(158,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(45,1),(54,1),(57,1),(94,1),(139,1),(150,1)}
        35:{2,4,5,7}:{(15,1),(17,1),(18,1),(46,1),(58,1),(95,1),(140,1),(151,1)}
        36:{1,2,4,5}:{(16,1),(17,1),(19,1),(47,1),(55,1),(60,1),(63,1),(101,1),(110,1),(144,1)}
        37:{2,3,6}:{(18,1),(58,1),(61,1),(112,1),(181,1)}
        38:{1,2,5,7}:{(18,1),(19,1),(20,1),(61,1),(62,1),(177,1),(185,1)}
        39:{1,3,5}:{(19,1),(21,1),(60,1),(63,1)}
        40:{1,3,7}:{(20,1),(21,1),(97,1),(204,1)}
        41:{1,4,6,7}:{(22,1),(23,1),(64,1),(65,1)}
        42:{1,3,6}:{(25,1),(31,1),(66,1),(67,1),(72,1)}
        43:{4,5,7}:{(23,1),(32,1),(68,1),(165,1)}
        44:{3,4,6,7}:{(23,1),(24,1),(27,1),(33,1),(65,1),(68,1),(69,1),(70,1),(115,1),(122,1),(165,1)}
        45:{1,4,7}:{(24,1),(25,1),(28,1),(66,1)}
        46:{2,4,7}:{(24,1),(26,1),(29,1),(165,1)}
        47:{1,2,4,6}:{(25,1),(26,1),(30,1),(36,1),(67,1),(71,1),(72,1),(75,1),(120,1)}
        48:{1,6,7}:{(27,1),(28,1)}
        49:{2,3,6,7}:{(27,1),(29,1),(37,1),(70,1),(73,1),(122,1),(160,1)}
        50:{1,2,5,7}:{(28,1),(29,1),(30,1),(71,1),(73,1),(74,1),(164,1)}
        51:{1,3,5,6}:{(30,1),(39,1),(72,1),(74,1),(75,1),(87,1),(124,1),(136,1),(138,1),(167,1),(168,1)}
        52:{1,3,4}:{(31,1),(77,1),(86,1)}
        53:{1,4,5,6}:{(32,1),(64,1),(78,1),(82,1),(131,1)}
        54:{1,3,5,7}:{(31,1),(34,1),(66,1),(76,1),(79,1),(80,1),(85,1),(128,1),(207,1)}
        55:{1,2,5}:{(31,1),(67,1),(77,1),(81,1)}
        56:{3,5,6}:{(32,1),(33,1),(68,1),(82,1),(83,1)}
        57:{1,4,6}:{(33,1),(34,1),(79,1),(82,1)}
        58:{2,4,6}:{(33,1),(35,1),(37,1),(83,1)}
        59:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(38,1),(71,1),(80,1),(84,1),(85,1),(88,1),(121,1),(126,1),(135,1),(138,1),(161,1),(164,1),(165,1),(170,1),(175,1),(176,1),(193,1),(207,1)}
        60:{3,5}:{(36,1),(72,1),(86,1)}
        61:{1,2,6}:{(37,1),(38,1),(87,1)}
        62:{1,3,5,7}:{(38,1),(39,1),(40,1),(85,1),(87,1),(88,1),(138,1),(191,1),(197,1),(207,1)}
        63:{1,4}:{(39,1),(86,1)}
        64:{1,4,5,7}:{(41,1),(43,1),(53,1),(89,1),(94,1),(139,1)}
        65:{3,6,7}:{(41,1),(89,1),(91,1)}
        66:{1,3,7}:{(42,1),(45,1),(92,1),(97,1)}
        67:{1,2,6}:{(42,1),(55,1),(92,1),(93,1)}
        68:{3,5,7}:{(43,1),(44,1),(56,1),(94,1),(95,1)}
        69:{1,4,6,7}:{(44,1),(45,1),(48,1),(57,1),(90,1),(94,1),(139,1)}
        70:{2,4,6,7}:{(44,1),(46,1),(49,1),(58,1),(91,1),(95,1),(140,1)}
        71:{1,2,4,7}:{(45,1),(46,1),(47,1),(50,1),(92,1),(97,1),(100,1),(143,1)}
        72:{3,6}:{(47,1),(60,1),(97,1)}
        73:{1,2,6,7}:{(48,1),(49,1),(50,1),(61,1),(99,1),(177,1),(181,1)}
        74:{1,3,5,7}:{(50,1),(51,1),(97,1),(99,1),(100,1),(145,1),(147,1),(148,1)}
        75:{1,4,6}:{(51,1),(63,1),(98,1),(100,1),(101,1),(158,1)}
        76:{1,3,4,7}:{(52,1),(54,1),(102,1),(103,1),(113,1),(139,1),(178,1),(201,1)}
        77:{1,2,4}:{(52,1),(55,1),(104,1),(110,1)}
        78:{3,5,6}:{(53,1),(89,1),(105,1),(107,1)}
        79:{1,3,6}:{(54,1),(57,1),(108,1),(112,1),(209,1)}
        80:{1,2,5,7}:{(54,1),(55,1),(92,1),(103,1),(108,1),(109,1),(152,1)}
        81:{2,3,5}:{(55,1),(60,1),(93,1),(104,1),(110,1),(144,1)}
        82:{1,5,6}:{(56,1),(57,1),(94,1)}
        83:{2,5,6}:{(56,1),(58,1),(95,1)}
        84:{1,2,4,6}:{(57,1),(58,1),(59,1),(61,1),(108,1),(111,1),(112,1),(114,1),(149,1),(157,1),(158,1),(181,1),(203,1),(209,1)}
        85:{3,5,7}:{(59,1),(60,1),(97,1),(112,1),(113,1),(159,1),(178,1),(186,1)}
        86:{3,4}:{(60,1),(63,1),(110,1)}
        87:{1,3,6}:{(61,1),(62,1),(112,1),(114,1),(209,1)}
        88:{1,4,7}:{(62,1),(63,1),(113,1),(114,1),(205,1)}
        89:{3,5,7}:{(64,1),(65,1),(78,1),(115,1),(117,1)}
        90:{1,3,6,7}:{(65,1),(66,1),(69,1),(79,1),(116,1),(118,1),(122,1)}
        91:{2,6,7}:{(65,1),(117,1)}
        92:{1,2,7}:{(66,1),(67,1),(119,1)}
        93:{2,3,6}:{(67,1),(72,1),(81,1),(119,1),(120,1)}
        94:{1,5,7}:{(68,1),(69,1),(82,1)}
        95:{2,5,7}:{(68,1),(70,1),(83,1)}
        96:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(73,1),(84,1),(118,1),(121,1),(122,1),(125,1),(161,1),(163,1),(165,1)}
        97:{3,7}:{(71,1),(72,1)}
        98:{3,4,6}:{(72,1),(75,1),(86,1),(120,1),(123,1),(124,1),(167,1)}
        99:{1,3,6,7}:{(73,1),(74,1),(87,1),(122,1),(125,1),(167,1),(191,1)}
       100:{1,4,7}:{(74,1),(75,1),(123,1),(165,1)}
       101:{1,4,5}:{(75,1),(124,1),(138,1),(176,1)}
       102:{1,3,4,6}:{(76,1),(79,1),(128,1),(129,1),(131,1),(137,1),(173,1),(198,1),(199,1)}
       103:{1,2,4,7}:{(76,1),(77,1),(80,1),(129,1),(130,1),(135,1)}
       104:{2,3}:{(77,1)}
       105:{3,4,6}:{(78,1),(115,1),(127,1),(131,1),(132,1),(173,1)}
       106:{1,3,5,6}:{(78,1),(79,1),(82,1),(116,1),(128,1),(131,1),(133,1),(136,1),(173,1)}
       107:{2,5,6}:{(78,1),(117,1),(132,1)}
       108:{1,2,6}:{(79,1),(80,1),(134,1)}
       109:{2,3,5,7}:{(80,1),(81,1),(85,1),(119,1),(130,1),(134,1),(135,1),(164,1),(171,1),(175,1)}
       110:{2,4}:{(81,1),(86,1)}
       111:{1,2,5,6}:{(82,1),(83,1),(84,1),(121,1),(136,1),(138,1),(168,1),(175,1),(194,1)}
       112:{3,6}:{(84,1),(85,1)}
       113:{3,4,7}:{(85,1),(86,1),(88,1),(135,1),(137,1),(165,1),(198,1)}
       114:{1,4,6}:{(87,1),(88,1),(137,1),(138,1)}
       115:{3,4,7}:{(89,1),(105,1),(139,1),(140,1),(178,1)}
       116:{1,3,5,7}:{(89,1),(90,1),(94,1),(106,1),(139,1),(141,1),(145,1),(178,1)}
       117:{2,5,7}:{(89,1),(91,1),(107,1),(140,1)}
       118:{1,2,6,7}:{(90,1),(91,1),(92,1),(108,1),(141,1),(142,1),(209,1)}
       119:{2,3,7}:{(92,1),(93,1),(97,1),(143,1)}
       120:{2,4,6}:{(93,1),(98,1),(110,1),(143,1),(144,1),(181,1)}
       121:{1,2,5,7}:{(94,1),(95,1),(96,1),(111,1),(145,1),(148,1),(180,1)}
       122:{3,6,7}:{(96,1),(97,1),(112,1),(145,1),(178,1)}
       123:{3,4,7}:{(97,1),(98,1),(100,1),(143,1),(147,1)}
       124:{3,5}:{(98,1),(101,1),(144,1)}
       125:{1,4,6,7}:{(99,1),(100,1),(114,1),(146,1),(148,1),(149,1),(201,1),(209,1)}
       126:{1,4,5,7}:{(100,1),(101,1),(147,1),(148,1),(149,1),(182,1)}
       127:{3,4,5}:{(105,1),(150,1),(151,1),(186,1)}
       128:{1,3,5}:{(102,1),(150,1),(152,1),(159,1),(186,1),(206,1)}
       129:{1,2,4,6}:{(102,1),(103,1),(108,1),(152,1),(153,1),(157,1),(187,1)}
       130:{2,3,7}:{(103,1),(104,1),(153,1),(178,1)}
       131:{1,4,6}:{(105,1),(106,1),(139,1),(150,1),(158,1)}
       132:{2,4,6}:{(105,1),(107,1),(140,1),(151,1),(154,1)}
       133:{1,2,5,6}:{(106,1),(107,1),(108,1),(141,1),(152,1),(155,1),(156,1),(206,1),(209,1)}
       134:{2,3,6}:{(108,1),(109,1),(112,1),(157,1),(181,1)}
       135:{2,4,7}:{(109,1),(110,1),(113,1),(157,1),(187,1)}
       136:{3,5,6}:{(111,1),(112,1),(145,1),(158,1),(159,1)}
       137:{3,4,6}:{(112,1),(113,1),(114,1),(157,1),(158,1),(159,1)}
       138:{1,5}:{(114,1),(159,1)}
       139:{1,4,7}:{(115,1),(116,1),(131,1),(165,1)}
       140:{2,4,7}:{(115,1),(117,1),(132,1),(160,1)}
       141:{1,2,5,7}:{(116,1),(117,1),(118,1),(133,1),(161,1),(162,1),(207,1)}
       142:{2,3,6,7}:{(118,1),(119,1),(122,1),(134,1),(162,1),(163,1),(208,1)}
       143:{2,4,7}:{(119,1),(120,1),(123,1),(164,1)}
       144:{2,5}:{(120,1),(124,1)}
       145:{3,5,7}:{(121,1),(122,1),(136,1),(165,1)}
       146:{3,4,6,7}:{(122,1),(123,1),(125,1),(137,1),(163,1),(165,1),(166,1),(167,1),(192,1),(195,1),(208,1)}
       147:{3,5,7}:{(123,1),(124,1),(126,1),(164,1),(167,1)}
       148:{1,5,7}:{(125,1),(138,1),(166,1),(168,1)}
       149:{1,4,6}:{(126,1),(167,1),(168,1),(195,1)}
       150:{1,4,5}:{(127,1),(128,1),(131,1),(176,1)}
       151:{2,4,5}:{(127,1),(132,1),(169,1)}
       152:{1,2,5}:{(128,1),(129,1),(171,1),(175,1)}
       153:{2,3,6}:{(129,1),(130,1),(171,1),(173,1)}
       154:{2,3,6}:{(132,1),(160,1),(169,1),(172,1),(173,1)}
       155:{1,2,4,6}:{(131,1),(132,1),(133,1),(161,1),(170,1),(172,1),(173,1),(174,1),(199,1)}
       156:{2,3,5,6}:{(133,1),(134,1),(136,1),(162,1),(171,1),(173,1),(174,1),(175,1),(194,1),(200,1),(208,1)}
       157:{2,4,6}:{(134,1),(135,1),(137,1),(175,1)}
       158:{4,6}:{(136,1),(165,1),(176,1)}
       159:{3,5}:{(137,1),(138,1),(175,1),(176,1)}
       160:{2,3,7}:{(140,1),(154,1),(177,1),(178,1)}
       161:{1,2,4,7}:{(139,1),(140,1),(141,1),(155,1),(177,1),(178,1),(179,1),(201,1)}
       162:{2,3,5,7}:{(141,1),(142,1),(145,1),(156,1),(178,1),(179,1),(180,1),(202,1)}
       163:{2,4,6,7}:{(142,1),(143,1),(146,1),(157,1),(179,1),(180,1),(181,1),(203,1)}
       164:{2,5,7}:{(143,1),(144,1),(147,1),(181,1)}
       165:{4,7}:{(145,1),(158,1)}
       166:{3,5,7}:{(146,1),(148,1),(159,1),(180,1),(182,1),(183,1)}
       167:{3,6}:{(147,1),(149,1),(181,1)}
       168:{1,5,6}:{(148,1),(149,1),(183,1),(209,1)}
       169:{2,3,5}:{(151,1),(154,1),(184,1),(185,1),(186,1)}
       170:{1,2,4,5}:{(150,1),(151,1),(152,1),(155,1),(185,1),(186,1),(187,1),(190,1),(205,1),(206,1)}
       171:{2,3,5}:{(152,1),(153,1),(186,1),(187,1)}
       172:{1,2,6}:{(154,1),(177,1),(185,1),(188,1)}
       173:{3,6}:{(155,1),(178,1),(186,1)}
       174:{2,4,6}:{(156,1),(158,1),(179,1),(187,1),(189,1),(190,1)}
       175:{2,5}:{(157,1),(159,1)}
       176:{4,5}:{(158,1),(159,1)}
       177:{1,2,7}:{(160,1),(172,1),(191,1)}
       178:{3,7}:{(161,1),(173,1)}
       179:{2,4,7}:{(162,1),(165,1),(174,1),(192,1)}
       180:{2,5,7}:{(163,1),(166,1),(175,1),(194,1)}
       181:{2,6}:{(164,1),(167,1)}
       182:{4,5,7}:{(165,1),(166,1),(176,1),(195,1)}
       183:{3,5,6}:{(166,1),(167,1),(168,1),(194,1),(195,1),(208,1)}
       184:{2,3,4}:{(169,1),(196,1),(198,1)}
       185:{1,2,5}:{(169,1),(172,1),(196,1),(197,1)}
       186:{3,5}:{(170,1),(173,1),(198,1)}
       187:{2,4}:{(171,1),(198,1)}
       188:{1,3,6}:{(172,1),(173,1),(191,1),(197,1),(199,1)}
       189:{3,4,6}:{(173,1),(174,1),(192,1),(198,1),(199,1),(200,1),(208,1)}
       190:{2,4,5}:{(174,1),(175,1),(176,1),(200,1)}
       191:{1,3,7}:{(177,1),(178,1),(188,1),(201,1)}
       192:{3,4,7}:{(178,1),(179,1),(189,1),(201,1),(202,1)}
       193:{2,4,5,7}:{(179,1),(180,1),(182,1),(190,1),(202,1),(203,1)}
       194:{2,5,6}:{(180,1),(181,1),(183,1),(203,1)}
       195:{4,6}:{(182,1),(183,1)}
       196:{1,2,4}:{(184,1),(185,1),(204,1),(205,1)}
       197:{1,3,5}:{(185,1),(186,1),(188,1),(204,1),(205,1),(206,1)}
       198:{3,4}:{(186,1),(187,1),(205,1)}
       199:{1,4,6}:{(188,1),(189,1),(201,1),(205,1),(206,1),(209,1)}
       200:{3,5}:{(189,1),(190,1),(206,1)}
       201:{1,4,7}:{(191,1),(192,1),(199,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(200,1),(207,1),(208,1)}
       203:{2,4,6}:{(193,1),(194,1),(195,1),(208,1)}
       204:{1,3}:{(196,1)}
       205:{1,4}:{(197,1),(198,1)}
       206:{1,5}:{(199,1),(200,1)}
       207:{1,5,7}:{(201,1),(202,1),(206,1),(209,1)}
       208:{3,6}:{(202,1),(203,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

 772 :   0:{3,4,5,6}:{(1,1),(2,1),(3,1),(18,1),(154,1),(166,1),(206,1)}
         1:{1,4,5,6}:{(0,1),(4,1),(7,1),(171,1),(212,1)}
         2:{2,4,5,6}:{(0,1),(5,1),(8,1),(177,1),(215,1)}
         3:{3,4,5,7}:{(0,1),(7,1),(8,1),(9,1),(36,1),(135,1)}
         4:{1,3,5,6}:{(1,1),(12,1),(14,1),(15,1),(18,1),(142,1),(198,1)}
         5:{2,3,5,6}:{(2,1),(13,1),(16,1),(17,1),(18,1),(148,1),(203,1)}
         6:{1,2,4,5,6}:{(1,1),(2,1),(14,1),(16,1),(18,1),(19,1),(48,1),(51,1),(93,1),(159,1),(162,1),(164,1),(166,1)}
         7:{1,4,5,7}:{(1,1),(3,1),(15,1),(20,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(17,1),(21,1)}
         9:{3,4,6,7}:{(3,1),(20,1),(21,1),(22,1),(56,1),(105,1),(206,1)}
        10:{1,3,4,5}:{(12,1),(23,1),(54,1),(106,1),(142,1)}
        11:{2,3,4,5}:{(13,1),(24,1),(54,1),(109,1),(148,1)}
        12:{1,3,4,6}:{(4,1),(10,1),(25,1),(26,1),(35,1)}
        13:{2,3,4,6}:{(5,1),(11,1),(27,1),(28,1),(35,1)}
        14:{1,2,5,6}:{(4,1),(25,1),(29,1),(30,1),(113,1),(175,1)}
        15:{1,3,5,7}:{(4,1),(7,1),(26,1),(30,1),(31,1),(36,1)}
        16:{1,2,5,6}:{(5,1),(27,1),(32,1),(33,1),(118,1),(181,1)}
        17:{2,3,5,7}:{(5,1),(8,1),(28,1),(33,1),(34,1),(36,1)}
        18:{3,5,6}:{(6,1),(35,1),(36,1),(122,1),(186,1)}
        19:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(30,1),(33,1),(36,1),(37,1),(71,1),(74,1),(129,1),(132,1),(135,1)}
        20:{1,4,6,7}:{(7,1),(9,1),(31,1),(38,1),(212,1)}
        21:{2,4,6,7}:{(8,1),(9,1),(34,1),(39,1),(215,1)}
        22:{3,5,6,7}:{(9,1),(38,1),(39,1),(40,1),(218,1)}
        23:{1,2,4,5}:{(10,1),(25,1),(41,1),(70,1),(80,1),(113,1)}
        24:{1,2,4,5}:{(11,1),(27,1),(42,1),(73,1),(82,1),(118,1)}
        25:{1,2,4,6}:{(12,1),(14,1),(23,1),(43,1),(44,1),(48,1)}
        26:{1,3,4,7}:{(12,1),(15,1),(44,1),(55,1)}
        27:{1,2,4,6}:{(13,1),(16,1),(24,1),(45,1),(46,1),(51,1)}
        28:{2,3,4,7}:{(13,1),(17,1),(46,1),(55,1)}
        29:{2,3,5,6}:{(14,1),(18,1),(43,1),(48,1),(49,1),(86,1),(147,1),(162,1)}
        30:{1,2,5,7}:{(14,1),(15,1),(44,1),(49,1),(50,1)}
        31:{1,3,6,7}:{(15,1),(20,1),(50,1),(56,1),(198,1)}
        32:{1,3,5,6}:{(16,1),(18,1),(45,1),(51,1),(52,1),(90,1),(153,1),(164,1)}
        33:{1,2,5,7}:{(16,1),(17,1),(46,1),(52,1),(53,1)}
        34:{2,3,6,7}:{(17,1),(21,1),(53,1),(56,1),(203,1)}
        35:{3,4,6}:{(18,1),(48,1),(51,1),(54,1),(55,1)}
        36:{3,5,7}:{(18,1),(19,1),(55,1),(56,1)}
        37:{1,2,4,6,7}:{(19,1),(20,1),(21,1),(50,1),(53,1),(56,1),(57,1),(98,1),(101,1),(105,1),(159,1)}
        38:{1,5,6,7}:{(20,1),(22,1),(222,1)}
        39:{2,5,6,7}:{(21,1),(22,1),(224,1)}
        40:{4,5,6,7}:{(22,1),(105,1),(226,1)}
        41:{2,3,5}:{(23,1),(43,1),(59,1)}
        42:{1,3,5}:{(24,1),(45,1),(61,1)}
        43:{2,3,6}:{(25,1),(41,1),(64,1)}
        44:{1,2,4,7}:{(25,1),(26,1),(30,1),(64,1),(71,1)}
        45:{1,3,6}:{(27,1),(42,1),(67,1)}
        46:{1,2,4,7}:{(27,1),(28,1),(33,1),(67,1),(74,1)}
        47:{1,2,3,5,6}:{(29,1),(32,1),(62,1),(65,1),(68,1),(69,1),(113,1),(118,1),(122,1),(172,1),(175,1),(178,1),(181,1),(186,1),(189,1)}
        48:{2,4,6}:{(29,1),(35,1),(70,1),(71,1)}
        49:{2,3,5,7}:{(29,1),(30,1),(36,1),(64,1),(71,1),(72,1),(129,1)}
        50:{1,2,6,7}:{(30,1),(31,1),(72,1),(175,1)}
        51:{1,4,6}:{(32,1),(35,1),(73,1),(74,1)}
        52:{1,3,5,7}:{(32,1),(33,1),(36,1),(67,1),(74,1),(75,1),(132,1)}
        53:{1,2,6,7}:{(33,1),(34,1),(75,1),(181,1)}
        54:{3,4,5}:{(35,1),(70,1),(73,1),(122,1)}
        55:{3,4,7}:{(35,1),(36,1),(71,1),(74,1)}
        56:{3,6,7}:{(36,1),(37,1),(186,1)}
        57:{1,2,5,6,7}:{(37,1),(38,1),(39,1),(79,1),(129,1),(132,1),(189,1)}
        58:{1,2,3,5}:{(41,1),(62,1),(80,1),(113,1),(136,1)}
        59:{2,3,4}:{(41,1),(80,1)}
        60:{1,2,3,5}:{(42,1),(65,1),(82,1),(118,1),(139,1)}
        61:{1,3,4}:{(42,1),(82,1)}
        62:{1,2,3,6}:{(43,1),(58,1),(84,1),(85,1),(167,1)}
        63:{2,3,4,6}:{(43,1),(48,1),(59,1),(84,1),(86,1),(87,1),(92,1),(147,1)}
        64:{2,3,7}:{(43,1),(44,1)}
        65:{1,2,3,6}:{(45,1),(60,1),(88,1),(89,1),(169,1)}
        66:{1,3,4,6}:{(45,1),(51,1),(61,1),(88,1),(90,1),(91,1),(92,1),(153,1)}
        67:{1,3,7}:{(45,1),(46,1)}
        68:{1,2,4,6}:{(47,1),(48,1),(51,1),(92,1),(93,1),(94,1),(195,1),(200,1)}
        69:{1,2,3,5,7}:{(47,1),(49,1),(52,1),(85,1),(89,1),(94,1),(95,1),(145,1),(151,1),(156,1),(160,1),(197,1),(202,1)}
        70:{2,4,5}:{(48,1),(54,1),(86,1)}
        71:{2,4,7}:{(48,1),(49,1),(55,1)}
        72:{2,3,6,7}:{(49,1),(50,1),(56,1),(98,1),(147,1)}
        73:{1,4,5}:{(51,1),(54,1),(90,1)}
        74:{1,4,7}:{(51,1),(52,1),(55,1)}
        75:{1,3,6,7}:{(52,1),(53,1),(56,1),(101,1),(153,1)}
        76:{3,4,5,6}:{(54,1),(96,1),(99,1),(102,1),(103,1),(155,1),(226,1)}
        77:{3,4,5,7}:{(54,1),(55,1),(97,1),(100,1),(103,1),(104,1),(156,1),(209,1)}
        78:{3,4,6,7}:{(55,1),(56,1),(98,1),(101,1),(103,1),(104,1),(105,1)}
        79:{3,5,6,7}:{(56,1),(57,1),(104,1),(105,1),(208,1)}
        80:{1,2,4}:{(58,1),(59,1),(106,1)}
        81:{2,3,4,5}:{(59,1),(86,1),(107,1),(108,1),(154,1)}
        82:{1,2,4}:{(60,1),(61,1),(109,1)}
        83:{1,3,4,5}:{(61,1),(90,1),(110,1),(111,1),(154,1)}
        84:{1,2,4,6}:{(62,1),(63,1),(80,1),(112,1),(113,1),(114,1),(175,1)}
        85:{1,2,3,7}:{(62,1),(64,1),(114,1),(193,1)}
        86:{2,3,5}:{(63,1),(70,1),(113,1),(122,1)}
        87:{2,3,4,7}:{(63,1),(64,1),(71,1),(114,1),(116,1),(123,1)}
        88:{1,2,4,6}:{(65,1),(66,1),(82,1),(117,1),(118,1),(119,1),(181,1)}
        89:{1,2,3,7}:{(65,1),(67,1),(119,1),(194,1)}
        90:{1,3,5}:{(66,1),(73,1),(118,1),(122,1)}
        91:{1,3,4,7}:{(66,1),(67,1),(74,1),(119,1),(121,1),(123,1)}
        92:{3,4,6}:{(68,1),(122,1),(123,1),(186,1)}
        93:{1,2,4,5}:{(68,1),(70,1),(73,1),(113,1),(118,1),(122,1),(171,1),(177,1)}
        94:{1,2,4,7}:{(68,1),(69,1),(71,1),(74,1),(123,1),(211,1),(214,1)}
        95:{1,2,3,6,7}:{(69,1),(72,1),(75,1),(126,1),(175,1),(181,1),(186,1),(213,1),(216,1)}
        96:{2,4,5,6}:{(70,1),(76,1),(115,1),(127,1),(128,1)}
        97:{2,4,5,7}:{(70,1),(71,1),(77,1),(116,1),(128,1),(129,1)}
        98:{2,4,6,7}:{(71,1),(72,1),(78,1),(128,1),(129,1)}
        99:{1,4,5,6}:{(73,1),(76,1),(120,1),(130,1),(131,1)}
       100:{1,4,5,7}:{(73,1),(74,1),(77,1),(121,1),(131,1),(132,1)}
       101:{1,4,6,7}:{(74,1),(75,1),(78,1),(131,1),(132,1)}
       102:{3,4,5,7}:{(76,1),(127,1),(130,1),(133,1),(185,1),(230,1)}
       103:{3,4,6}:{(77,1),(128,1),(131,1),(134,1),(186,1),(220,1)}
       104:{3,5,7}:{(78,1),(129,1),(132,1),(134,1),(135,1)}
       105:{4,6,7}:{(79,1),(135,1),(220,1)}
       106:{1,3,4}:{(80,1),(136,1)}
       107:{1,2,4,5}:{(80,1),(81,1),(113,1),(136,1),(137,1),(171,1)}
       108:{2,3,4,6}:{(81,1),(115,1),(137,1),(138,1),(183,1)}
       109:{2,3,4}:{(82,1),(139,1)}
       110:{1,2,4,5}:{(82,1),(83,1),(118,1),(139,1),(140,1),(177,1)}
       111:{1,3,4,6}:{(83,1),(120,1),(140,1),(141,1),(183,1)}
       112:{1,3,4,6}:{(84,1),(92,1),(106,1),(142,1),(143,1),(167,1),(195,1),(198,1)}
       113:{1,2,5}:{(84,1),(86,1),(142,1)}
       114:{1,2,4,7}:{(84,1),(85,1),(87,1),(143,1),(145,1)}
       115:{2,3,5,6}:{(86,1),(96,1),(108,1),(144,1),(146,1),(147,1),(155,1)}
       116:{2,3,5,7}:{(86,1),(87,1),(97,1),(145,1),(147,1),(156,1)}
       117:{2,3,4,6}:{(88,1),(92,1),(109,1),(148,1),(149,1),(169,1),(200,1),(203,1)}
       118:{1,2,5}:{(88,1),(90,1),(148,1)}
       119:{1,2,4,7}:{(88,1),(89,1),(91,1),(149,1),(151,1)}
       120:{1,3,5,6}:{(90,1),(99,1),(111,1),(150,1),(152,1),(153,1),(155,1)}
       121:{1,3,5,7}:{(90,1),(91,1),(100,1),(151,1),(153,1),(156,1)}
       122:{3,5}:{(92,1),(93,1)}
       123:{3,4,7}:{(92,1),(94,1),(156,1)}
       124:{1,2,4,5,6}:{(93,1),(96,1),(99,1),(144,1),(150,1),(155,1),(158,1),(159,1),(195,1),(200,1),(222,1),(224,1),(226,1)}
       125:{1,2,4,5,7}:{(93,1),(94,1),(97,1),(100,1),(145,1),(151,1),(156,1),(159,1),(160,1),(196,1),(201,1),(209,1)}
       126:{1,2,4,6,7}:{(94,1),(95,1),(98,1),(101,1),(157,1),(159,1),(160,1),(221,1),(223,1)}
       127:{2,4,5,7}:{(96,1),(102,1),(146,1),(161,1)}
       128:{2,4,6}:{(97,1),(103,1),(147,1),(162,1)}
       129:{2,5,7}:{(98,1),(104,1),(162,1)}
       130:{1,4,5,7}:{(99,1),(102,1),(152,1),(163,1)}
       131:{1,4,6}:{(100,1),(103,1),(153,1),(164,1)}
       132:{1,5,7}:{(101,1),(104,1),(164,1)}
       133:{3,4,6,7}:{(102,1),(103,1),(161,1),(163,1),(165,1),(207,1),(227,1)}
       134:{3,5,6}:{(103,1),(104,1),(162,1),(164,1),(166,1)}
       135:{4,5,7}:{(104,1),(105,1),(166,1)}
       136:{1,3,5}:{(106,1),(107,1),(167,1)}
       137:{1,2,4,6}:{(107,1),(108,1),(144,1),(167,1),(168,1),(195,1)}
       138:{2,3,4,7}:{(108,1),(146,1),(168,1),(205,1)}
       139:{2,3,5}:{(109,1),(110,1),(169,1)}
       140:{1,2,4,6}:{(110,1),(111,1),(150,1),(169,1),(170,1),(200,1)}
       141:{1,3,4,7}:{(111,1),(152,1),(170,1),(205,1)}
       142:{1,3,5}:{(112,1),(113,1),(122,1),(171,1)}
       143:{1,3,4,7}:{(112,1),(114,1),(123,1),(173,1),(193,1),(211,1)}
       144:{1,2,5,6}:{(113,1),(115,1),(137,1),(172,1),(174,1),(175,1)}
       145:{1,2,5,7}:{(113,1),(114,1),(116,1),(173,1),(175,1)}
       146:{2,3,5,7}:{(115,1),(127,1),(138,1),(174,1),(176,1),(185,1)}
       147:{2,3,6}:{(116,1),(128,1),(175,1),(186,1)}
       148:{2,3,5}:{(117,1),(118,1),(122,1),(177,1)}
       149:{2,3,4,7}:{(117,1),(119,1),(123,1),(179,1),(194,1),(214,1)}
       150:{1,2,5,6}:{(118,1),(120,1),(140,1),(178,1),(180,1),(181,1)}
       151:{1,2,5,7}:{(118,1),(119,1),(121,1),(179,1),(181,1)}
       152:{1,3,5,7}:{(120,1),(130,1),(141,1),(180,1),(182,1),(185,1)}
       153:{1,3,6}:{(121,1),(131,1),(181,1),(186,1)}
       154:{3,4,5}:{(122,1),(171,1),(177,1),(183,1)}
       155:{3,5,6}:{(122,1),(124,1),(183,1),(185,1),(186,1)}
       156:{3,5,7}:{(122,1),(123,1),(125,1),(186,1)}
       157:{3,4,6,7}:{(123,1),(126,1),(186,1),(187,1),(220,1)}
       158:{1,2,4,5,7}:{(124,1),(127,1),(130,1),(174,1),(180,1),(185,1),(188,1),(211,1),(214,1),(228,1),(229,1),(230,1)}
       159:{1,2,4,6}:{(125,1),(128,1),(131,1),(175,1),(181,1),(186,1),(189,1),(212,1),(215,1),(220,1)}
       160:{1,2,5,7}:{(126,1),(129,1),(132,1),(187,1),(189,1),(228,1),(229,1)}
       161:{2,4,6,7}:{(127,1),(128,1),(133,1),(176,1),(190,1)}
       162:{2,5,6}:{(128,1),(129,1),(134,1)}
       163:{1,4,6,7}:{(130,1),(131,1),(133,1),(182,1),(191,1)}
       164:{1,5,6}:{(131,1),(132,1),(134,1)}
       165:{3,5,6,7}:{(133,1),(134,1),(190,1),(191,1),(192,1)}
       166:{4,5,6}:{(134,1),(135,1),(220,1)}
       167:{1,3,6}:{(136,1),(137,1),(193,1)}
       168:{1,2,4,7}:{(137,1),(138,1),(174,1),(193,1),(211,1)}
       169:{2,3,6}:{(139,1),(140,1),(194,1)}
       170:{1,2,4,7}:{(140,1),(141,1),(180,1),(194,1),(214,1)}
       171:{1,4,5}:{(142,1),(154,1),(195,1)}
       172:{1,3,5,6}:{(142,1),(144,1),(155,1),(167,1),(195,1),(197,1),(198,1),(222,1)}
       173:{1,3,5,7}:{(142,1),(143,1),(145,1),(156,1),(196,1),(198,1)}
       174:{1,2,5,7}:{(144,1),(146,1),(168,1),(197,1),(199,1)}
       175:{1,2,6}:{(145,1),(147,1),(198,1)}
       176:{2,3,6,7}:{(146,1),(147,1),(161,1),(199,1),(207,1)}
       177:{2,4,5}:{(148,1),(154,1),(200,1)}
       178:{2,3,5,6}:{(148,1),(150,1),(155,1),(169,1),(200,1),(202,1),(203,1),(224,1)}
       179:{2,3,5,7}:{(148,1),(149,1),(151,1),(156,1),(201,1),(203,1)}
       180:{1,2,5,7}:{(150,1),(152,1),(170,1),(202,1),(204,1)}
       181:{1,2,6}:{(151,1),(153,1),(203,1)}
       182:{1,3,6,7}:{(152,1),(153,1),(163,1),(204,1),(207,1)}
       183:{3,4,6}:{(154,1),(155,1),(195,1),(200,1),(205,1)}
       184:{3,4,5,7}:{(154,1),(156,1),(196,1),(201,1),(205,1),(206,1),(209,1),(225,1)}
       185:{3,5,7}:{(155,1),(158,1),(205,1),(207,1)}
       186:{3,6}:{(156,1),(159,1)}
       187:{3,5,7}:{(157,1),(160,1),(208,1),(209,1)}
       188:{1,2,4,6,7}:{(158,1),(159,1),(161,1),(163,1),(199,1),(204,1),(207,1),(210,1),(221,1),(223,1),(227,1)}
       189:{1,2,5,6}:{(159,1),(160,1),(162,1),(164,1),(208,1),(222,1),(224,1)}
       190:{2,5,6,7}:{(161,1),(162,1),(165,1)}
       191:{1,5,6,7}:{(163,1),(164,1),(165,1)}
       192:{4,5,6,7}:{(165,1),(166,1),(227,1)}
       193:{1,3,7}:{(167,1),(168,1)}
       194:{2,3,7}:{(169,1),(170,1)}
       195:{1,4,6}:{(171,1),(172,1),(183,1),(211,1)}
       196:{1,4,5,7}:{(171,1),(173,1),(184,1),(211,1),(212,1),(228,1)}
       197:{1,3,5,7}:{(172,1),(174,1),(185,1),(193,1),(211,1),(213,1),(228,1)}
       198:{1,3,6}:{(173,1),(175,1),(186,1),(212,1)}
       199:{1,2,6,7}:{(174,1),(175,1),(176,1),(213,1)}
       200:{2,4,6}:{(177,1),(178,1),(183,1),(214,1)}
       201:{2,4,5,7}:{(177,1),(179,1),(184,1),(214,1),(215,1),(229,1)}
       202:{2,3,5,7}:{(178,1),(180,1),(185,1),(194,1),(214,1),(216,1),(229,1)}
       203:{2,3,6}:{(179,1),(181,1),(186,1),(215,1)}
       204:{1,2,6,7}:{(180,1),(181,1),(182,1),(216,1)}
       205:{3,4,7}:{(183,1),(185,1),(211,1),(214,1)}
       206:{3,4,6}:{(184,1),(186,1),(212,1),(215,1),(218,1),(220,1)}
       207:{3,6,7}:{(185,1),(186,1),(188,1)}
       208:{3,5,6}:{(186,1),(187,1),(189,1),(220,1)}
       209:{4,5,7}:{(187,1),(220,1)}
       210:{1,2,5,6,7}:{(188,1),(189,1),(190,1),(191,1),(219,1),(228,1),(229,1)}
       211:{1,4,7}:{(195,1),(197,1),(205,1)}
       212:{1,4,6}:{(196,1),(198,1),(206,1),(222,1)}
       213:{1,3,6,7}:{(197,1),(198,1),(199,1),(207,1),(221,1)}
       214:{2,4,7}:{(200,1),(202,1),(205,1)}
       215:{2,4,6}:{(201,1),(203,1),(206,1),(224,1)}
       216:{2,3,6,7}:{(202,1),(203,1),(204,1),(207,1),(223,1)}
       217:{3,4,6,7}:{(205,1),(206,1),(207,1),(221,1),(223,1),(225,1),(227,1)}
       218:{3,5,6}:{(206,1),(222,1),(224,1),(225,1),(226,1)}
       219:{3,5,6,7}:{(207,1),(208,1),(210,1),(225,1),(227,1)}
       220:{4,6}:{(208,1),(209,1)}
       221:{1,4,6,7}:{(211,1),(212,1),(213,1),(217,1),(228,1)}
       222:{1,5,6}:{(212,1),(218,1),(228,1)}
       223:{2,4,6,7}:{(214,1),(215,1),(216,1),(217,1),(229,1)}
       224:{2,5,6}:{(215,1),(218,1),(229,1)}
       225:{3,5,7}:{(217,1),(218,1),(228,1),(229,1),(230,1)}
       226:{4,5,6}:{(218,1),(220,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(225,1)}
       229:{2,5,7}:{(223,1),(224,1),(225,1)}
       230:{4,5,7}:{(225,1),(226,1),(227,1)}

 773 :  0:{1,2,6,7}:{(3,1),(5,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(38,1),(39,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(17,1),(23,1),(24,1),(25,1),(38,1),(39,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{3,5,6}:{(1,1),(9,1),(10,1),(12,1),(26,1),(28,1),(45,1)}
        5:{1,2,5,7}:{(0,1),(1,1),(9,1),(11,1),(46,1),(47,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(12,1),(30,1),(31,1),(34,1)}
        7:{3,5}:{(2,1),(12,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(18,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(18,1),(20,1)}
       10:{4,6}:{(4,1),(17,1),(18,1)}
       11:{1,2,4,7}:{(5,1),(6,1),(18,1),(20,1),(40,1),(41,1),(43,1)}
       12:{3,6}:{(6,1),(7,1),(20,1)}
       13:{3,4}:{(7,1),(23,1),(24,1),(44,1)}
       14:{1,3,5}:{(7,1),(21,1),(23,1),(25,1),(38,1),(44,1),(54,1)}
       15:{2,3,5}:{(7,1),(22,1),(24,1),(25,1),(39,1),(44,1),(54,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,5}:{(10,1),(28,1),(58,1)}
       18:{4,7}:{(9,1),(10,1)}
       19:{3,4,6}:{(10,1),(12,1),(13,1),(28,1),(29,1),(30,1),(31,1),(45,1),(50,1),(58,1),(61,1)}
       20:{3,7}:{(11,1),(12,1)}
       21:{1,3,6}:{(12,1),(14,1),(30,1),(32,1),(34,1),(50,1)}
       22:{2,3,6}:{(12,1),(15,1),(31,1),(33,1),(34,1),(50,1)}
       23:{1,4}:{(13,1),(14,1),(58,1)}
       24:{2,4}:{(13,1),(15,1),(58,1)}
       25:{1,2,5}:{(14,1),(15,1),(34,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(18,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,5}:{(17,1),(19,1),(38,1),(39,1),(62,1)}
       29:{3,4,7}:{(18,1),(19,1),(20,1),(37,1),(40,1),(41,1),(55,1),(60,1)}
       30:{1,4,6}:{(19,1),(21,1),(23,1),(38,1),(40,1),(51,1)}
       31:{2,4,6}:{(19,1),(22,1),(24,1),(39,1),(41,1),(52,1)}
       32:{1,3,7}:{(20,1),(21,1),(40,1),(43,1),(55,1)}
       33:{2,3,7}:{(20,1),(22,1),(41,1),(43,1),(55,1)}
       34:{1,2,6}:{(21,1),(22,1),(25,1),(43,1)}
       35:{1,2,4}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(45,1),(46,1),(47,1)}
       38:{1,5}:{(28,1),(30,1)}
       39:{2,5}:{(28,1),(31,1)}
       40:{1,4,7}:{(29,1),(30,1),(32,1),(46,1)}
       41:{2,4,7}:{(29,1),(31,1),(33,1),(47,1)}
       42:{1,2,4,6}:{(30,1),(31,1),(34,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       43:{1,2,7}:{(32,1),(33,1),(34,1)}
       44:{3}:{(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(40,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(41,1),(52,1)}
       48:{1,2,5}:{(38,1),(39,1),(42,1),(54,1),(62,1)}
       49:{1,2,4,7}:{(40,1),(41,1),(42,1),(43,1),(53,1),(55,1),(60,1)}
       50:{3,6}:{(42,1),(44,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,5}:{(48,1),(50,1),(58,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(54,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

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

 775 :   0:{1,2,4,5,7}:{(1,1),(2,1),(10,1),(11,1),(12,1),(14,1),(36,1),(39,1),(40,1),(41,1),(65,1),(66,1),(67,1),(71,1),(99,1),(100,1)}
         1:{3,5,7}:{(0,1),(4,1),(7,1),(25,1),(84,1),(88,1)}
         2:{1,2,4,6}:{(0,1),(7,1),(8,1),(23,1),(24,1),(26,1),(29,1),(78,1),(79,1),(109,1),(110,1)}
         3:{1,2,4,6,7}:{(2,1),(9,1),(10,1),(30,1),(31,1),(33,1),(36,1),(67,1),(134,1)}
         4:{3,4,7}:{(1,1),(11,1),(12,1),(13,1),(36,1),(37,1),(103,1)}
         5:{1,3,5,7}:{(1,1),(11,1),(14,1),(15,1),(37,1),(39,1),(70,1),(100,1),(101,1),(104,1)}
         6:{2,3,5,7}:{(1,1),(12,1),(14,1),(16,1),(37,1),(40,1),(70,1),(99,1),(102,1),(105,1)}
         7:{3,6}:{(1,1),(2,1)}
         8:{1,2,5,6}:{(2,1),(10,1),(17,1),(39,1),(40,1),(60,1),(61,1)}
         9:{3,6,7}:{(3,1),(7,1),(21,1),(84,1),(137,1)}
        10:{1,2,5,7}:{(3,1),(8,1),(21,1),(47,1),(48,1),(136,1)}
        11:{1,4,7}:{(4,1),(5,1),(23,1),(87,1),(115,1)}
        12:{2,4,7}:{(4,1),(6,1),(24,1),(87,1),(116,1)}
        13:{3,4,6}:{(4,1),(7,1),(23,1),(24,1),(25,1),(29,1),(53,1),(87,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(22,1),(26,1),(54,1),(114,1),(117,1)}
        15:{1,3,6}:{(5,1),(7,1),(23,1),(26,1),(53,1),(110,1)}
        16:{2,3,6}:{(6,1),(7,1),(24,1),(26,1),(53,1),(109,1)}
        17:{3,5,6}:{(7,1),(8,1),(21,1),(25,1),(29,1)}
        18:{3,4,6,7}:{(9,1),(13,1),(30,1),(31,1),(32,1),(36,1),(62,1),(63,1),(68,1),(69,1),(95,1),(96,1),(97,1),(119,1)}
        19:{1,3,6,7}:{(9,1),(15,1),(30,1),(33,1),(34,1),(63,1),(95,1),(101,1),(120,1)}
        20:{2,3,6,7}:{(9,1),(16,1),(31,1),(33,1),(35,1),(63,1),(96,1),(102,1),(121,1)}
        21:{3,5,7}:{(9,1),(10,1),(17,1),(36,1),(138,1)}
        22:{1,2,4,7}:{(11,1),(12,1),(14,1),(37,1),(38,1),(125,1)}
        23:{1,4,6}:{(11,1),(13,1),(15,1),(39,1)}
        24:{2,4,6}:{(12,1),(13,1),(16,1),(40,1)}
        25:{3,5}:{(13,1),(39,1),(40,1),(41,1)}
        26:{1,2,6}:{(14,1),(15,1),(16,1)}
        27:{1,3,5,6}:{(15,1),(17,1),(34,1),(39,1),(42,1),(43,1),(60,1),(70,1),(72,1),(74,1),(93,1),(95,1),(104,1),(120,1),(132,1),(138,1)}
        28:{2,3,5,6}:{(16,1),(17,1),(35,1),(40,1),(42,1),(44,1),(61,1),(70,1),(73,1),(74,1),(93,1),(96,1),(105,1),(121,1),(133,1),(138,1)}
        29:{4,6}:{(17,1),(36,1),(41,1)}
        30:{1,4,6,7}:{(18,1),(19,1),(23,1),(47,1),(51,1),(78,1),(86,1),(110,1),(127,1)}
        31:{2,4,6,7}:{(18,1),(20,1),(24,1),(48,1),(52,1),(79,1),(85,1),(109,1),(128,1)}
        32:{3,5,7}:{(18,1),(25,1),(45,1),(47,1),(48,1),(49,1),(126,1)}
        33:{1,2,6,7}:{(19,1),(20,1),(26,1),(50,1),(109,1),(110,1),(114,1),(129,1)}
        34:{1,3,5,7}:{(19,1),(21,1),(27,1),(47,1),(50,1),(51,1),(80,1),(82,1),(84,1)}
        35:{2,3,5,7}:{(20,1),(21,1),(28,1),(48,1),(50,1),(52,1),(80,1),(83,1),(84,1)}
        36:{4,7}:{(21,1),(29,1),(139,1)}
        37:{3,7}:{(22,1),(53,1),(131,1)}
        38:{1,2,4,6}:{(22,1),(23,1),(24,1),(26,1),(53,1),(54,1),(87,1)}
        39:{1,5}:{(23,1),(25,1)}
        40:{2,5}:{(24,1),(25,1)}
        41:{4,5}:{(25,1),(29,1),(87,1)}
        42:{1,2,5,6}:{(26,1),(27,1),(28,1),(50,1),(54,1),(57,1),(89,1),(90,1),(109,1),(110,1),(117,1),(129,1),(136,1)}
        43:{1,4,6}:{(27,1),(29,1),(51,1),(55,1),(58,1),(87,1),(107,1),(115,1),(139,1)}
        44:{2,4,6}:{(28,1),(29,1),(52,1),(56,1),(59,1),(87,1),(107,1),(116,1),(139,1)}
        45:{3,5,6}:{(32,1),(60,1),(61,1),(62,1),(95,1),(96,1)}
        46:{1,2,4,6,7}:{(30,1),(31,1),(33,1),(38,1),(63,1),(64,1),(67,1),(94,1),(97,1)}
        47:{1,5,7}:{(30,1),(32,1),(39,1),(60,1),(132,1)}
        48:{2,5,7}:{(31,1),(32,1),(40,1),(61,1),(133,1)}
        49:{4,5,7}:{(32,1),(36,1),(41,1),(62,1),(97,1),(118,1)}
        50:{1,2,5,7}:{(33,1),(34,1),(35,1),(42,1),(67,1),(99,1),(100,1)}
        51:{1,4,7}:{(34,1),(36,1),(43,1),(68,1),(97,1)}
        52:{2,4,7}:{(35,1),(36,1),(44,1),(69,1),(97,1)}
        53:{3,6}:{(37,1),(38,1),(70,1)}
        54:{1,2,5}:{(38,1),(39,1),(40,1),(70,1)}
        55:{1,4,5}:{(39,1),(41,1),(43,1),(72,1),(118,1),(132,1)}
        56:{2,4,5}:{(40,1),(41,1),(44,1),(73,1),(118,1),(133,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(44,1),(67,1),(71,1),(74,1),(75,1),(76,1),(106,1),(125,1)}
        58:{3,4,6}:{(43,1),(68,1),(72,1),(74,1),(75,1),(95,1),(103,1)}
        59:{3,4,6}:{(44,1),(69,1),(73,1),(74,1),(76,1),(96,1),(103,1)}
        60:{1,5,6}:{(45,1),(47,1),(78,1),(110,1)}
        61:{2,5,6}:{(45,1),(48,1),(79,1),(109,1)}
        62:{4,6}:{(45,1),(49,1)}
        63:{3,6,7}:{(46,1),(53,1),(80,1),(84,1),(108,1)}
        64:{1,2,5,7}:{(46,1),(47,1),(48,1),(54,1),(77,1),(80,1)}
        65:{1,4,5,7}:{(47,1),(49,1),(51,1),(55,1),(78,1),(82,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(52,1),(56,1),(79,1),(83,1)}
        67:{1,2,4,7}:{(50,1),(51,1),(52,1),(57,1),(84,1),(85,1),(86,1),(114,1)}
        68:{3,4,7}:{(51,1),(58,1),(82,1),(84,1),(85,1)}
        69:{3,4,7}:{(52,1),(59,1),(83,1),(84,1),(86,1)}
        70:{3,5}:{(53,1),(54,1),(87,1)}
        71:{1,2,4,5}:{(54,1),(55,1),(56,1),(57,1),(87,1),(88,1),(89,1),(90,1),(115,1),(116,1),(117,1),(136,1),(139,1)}
        72:{3,5}:{(55,1),(58,1),(89,1)}
        73:{3,5}:{(56,1),(59,1),(90,1)}
        74:{3,6}:{(57,1),(84,1),(88,1),(131,1)}
        75:{2,4,6}:{(58,1),(85,1),(89,1),(92,1),(109,1),(116,1)}
        76:{1,4,6}:{(59,1),(86,1),(90,1),(91,1),(110,1),(115,1)}
        77:{1,2,5,6}:{(60,1),(61,1),(64,1),(93,1),(94,1),(132,1),(133,1)}
        78:{1,4,6}:{(60,1),(62,1),(65,1),(95,1)}
        79:{2,4,6}:{(61,1),(62,1),(66,1),(96,1)}
        80:{3,5,7}:{(63,1),(64,1),(70,1),(93,1),(97,1)}
        81:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(67,1),(71,1),(94,1),(97,1),(98,1),(99,1),(100,1),(118,1),(122,1),(123,1),(124,1),(132,1),(133,1)}
        82:{3,5,7}:{(65,1),(68,1),(72,1),(95,1),(99,1)}
        83:{3,5,7}:{(66,1),(69,1),(73,1),(96,1),(100,1)}
        84:{3,7}:{(67,1),(74,1)}
        85:{2,4,7}:{(68,1),(75,1),(99,1),(102,1)}
        86:{1,4,7}:{(69,1),(76,1),(100,1),(101,1)}
        87:{4}:{(70,1)}
        88:{3,5}:{(71,1),(74,1),(103,1)}
        89:{2,5}:{(72,1),(75,1)}
        90:{1,5}:{(73,1),(76,1)}
        91:{1,3,6}:{(74,1),(76,1),(101,1),(104,1),(106,1)}
        92:{2,3,6}:{(74,1),(75,1),(102,1),(105,1),(106,1)}
        93:{3,5,6}:{(77,1),(80,1),(107,1),(108,1),(126,1)}
        94:{1,2,4,6}:{(77,1),(78,1),(79,1),(81,1),(107,1),(108,1),(109,1),(110,1),(127,1),(128,1),(129,1)}
        95:{3,6}:{(78,1),(82,1),(109,1)}
        96:{3,6}:{(79,1),(83,1),(110,1)}
        97:{4,7}:{(80,1),(87,1),(107,1)}
        98:{3,5,7}:{(81,1),(84,1),(88,1),(108,1),(111,1),(126,1)}
        99:{2,5,7}:{(82,1),(85,1),(89,1),(109,1)}
       100:{1,5,7}:{(83,1),(86,1),(90,1),(110,1)}
       101:{1,3,7}:{(84,1),(86,1),(91,1),(114,1)}
       102:{2,3,7}:{(84,1),(85,1),(92,1),(114,1)}
       103:{3,4}:{(87,1),(88,1),(115,1),(116,1),(131,1),(139,1)}
       104:{1,3,5}:{(88,1),(90,1),(91,1),(115,1),(117,1),(131,1)}
       105:{2,3,5}:{(88,1),(89,1),(92,1),(116,1),(117,1),(131,1)}
       106:{1,2,6}:{(91,1),(92,1),(114,1),(117,1)}
       107:{4,6}:{(93,1),(97,1),(118,1)}
       108:{3,6}:{(94,1),(98,1)}
       109:{2,6}:{(95,1),(99,1)}
       110:{1,6}:{(96,1),(100,1)}
       111:{3,4,7}:{(97,1),(98,1),(103,1),(119,1),(122,1),(123,1),(135,1)}
       112:{1,3,5,7}:{(98,1),(100,1),(101,1),(104,1),(120,1),(122,1),(124,1),(132,1),(135,1),(138,1)}
       113:{2,3,5,7}:{(98,1),(99,1),(102,1),(105,1),(121,1),(123,1),(124,1),(133,1),(135,1),(138,1)}
       114:{1,2,7}:{(101,1),(102,1),(106,1)}
       115:{1,4}:{(103,1),(104,1)}
       116:{2,4}:{(103,1),(105,1)}
       117:{1,2,5}:{(104,1),(105,1),(106,1),(125,1)}
       118:{4,5}:{(107,1),(126,1),(139,1)}
       119:{3,4,6}:{(107,1),(108,1),(111,1),(126,1),(127,1),(128,1),(137,1),(139,1)}
       120:{1,3,6}:{(108,1),(110,1),(112,1),(127,1),(129,1),(137,1)}
       121:{2,3,6}:{(108,1),(109,1),(113,1),(128,1),(129,1),(137,1)}
       122:{1,4,7}:{(111,1),(112,1),(115,1),(127,1),(139,1)}
       123:{2,4,7}:{(111,1),(113,1),(116,1),(128,1),(139,1)}
       124:{1,2,5,7}:{(112,1),(113,1),(114,1),(117,1),(129,1),(130,1),(136,1)}
       125:{1,2,4}:{(115,1),(116,1),(117,1),(131,1)}
       126:{3,5}:{(118,1),(119,1),(132,1),(133,1)}
       127:{1,4,6}:{(119,1),(120,1),(122,1),(132,1)}
       128:{2,4,6}:{(119,1),(121,1),(123,1),(133,1)}
       129:{1,2,6}:{(120,1),(121,1),(124,1)}
       130:{1,2,4,7}:{(122,1),(123,1),(124,1),(125,1),(134,1),(135,1)}
       131:{3}:{(125,1)}
       132:{1,5}:{(126,1),(127,1)}
       133:{2,5}:{(126,1),(128,1)}
       134:{1,2,4,6}:{(127,1),(128,1),(129,1),(130,1),(136,1),(137,1),(139,1)}
       135:{3,7}:{(130,1),(131,1),(137,1)}
       136:{1,2,5}:{(132,1),(133,1),(134,1),(138,1)}
       137:{3,6}:{(134,1),(135,1),(138,1)}
       138:{3,5}:{(136,1),(137,1),(139,1)}
       139:{4}:{(138,1)}

 776 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(17,1),(27,1),(56,1),(65,1),(125,1)}
         1:{2,3,4,6}:{(2,1),(5,1),(6,1),(19,1),(30,1),(56,1),(65,1),(125,1)}
         2:{1,2,4,6}:{(0,1),(1,1),(9,1),(10,1),(11,1),(41,1),(45,1)}
         3:{1,3,5}:{(0,1),(10,1),(12,1),(43,1),(151,1)}
         4:{1,3,4,7}:{(0,1),(11,1),(13,1),(36,1),(86,1),(96,1),(226,1)}
         5:{2,3,5}:{(1,1),(10,1),(14,1),(43,1),(151,1)}
         6:{2,3,4,7}:{(1,1),(11,1),(15,1),(39,1),(86,1),(96,1),(227,1)}
         7:{1,3,5,6}:{(3,1),(16,1),(17,1),(18,1),(27,1),(52,1),(56,1),(74,1),(130,1)}
         8:{2,3,5,6}:{(5,1),(16,1),(19,1),(20,1),(30,1),(54,1),(56,1),(77,1),(130,1)}
         9:{1,2,3,6}:{(2,1),(21,1),(22,1),(56,1),(113,1)}
        10:{1,2,5}:{(2,1),(3,1),(5,1)}
        11:{1,2,4,7}:{(2,1),(4,1),(6,1),(22,1),(24,1),(229,1)}
        12:{1,4,5}:{(3,1),(17,1),(25,1),(172,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(24,1),(26,1),(27,1),(70,1),(219,1),(222,1)}
        14:{2,4,5}:{(5,1),(19,1),(28,1),(172,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(24,1),(29,1),(30,1),(70,1),(220,1),(223,1)}
        16:{1,2,5,6}:{(7,1),(8,1),(10,1),(33,1),(34,1),(45,1),(78,1),(81,1)}
        17:{1,4,6}:{(7,1),(12,1),(35,1),(36,1),(155,1)}
        18:{1,3,5,7}:{(7,1),(34,1),(36,1),(37,1),(79,1),(86,1),(90,1),(142,1)}
        19:{2,4,6}:{(8,1),(14,1),(38,1),(39,1),(155,1)}
        20:{2,3,5,7}:{(8,1),(34,1),(39,1),(40,1),(82,1),(86,1),(93,1),(142,1)}
        21:{1,2,3,5}:{(9,1),(10,1),(41,1),(43,1),(98,1),(147,1)}
        22:{1,2,3,7}:{(9,1),(11,1),(86,1),(139,1),(230,1)}
        23:{1,2,4,5}:{(10,1),(12,1),(14,1),(33,1),(41,1),(43,1),(46,1),(49,1),(98,1)}
        24:{1,2,5,7}:{(10,1),(11,1),(13,1),(15,1),(45,1),(225,1),(228,1)}
        25:{3,4,5}:{(12,1),(35,1),(43,1),(46,1)}
        26:{1,4,5,7}:{(12,1),(13,1),(36,1),(47,1),(48,1),(90,1),(212,1),(216,1)}
        27:{1,3,6}:{(13,1),(45,1),(48,1),(101,1)}
        28:{3,4,5}:{(14,1),(38,1),(43,1),(49,1)}
        29:{2,4,5,7}:{(14,1),(15,1),(39,1),(50,1),(51,1),(93,1),(211,1),(215,1)}
        30:{2,3,6}:{(15,1),(45,1),(51,1),(101,1)}
        31:{1,4,5,6}:{(17,1),(52,1),(53,1),(74,1),(132,1)}
        32:{2,4,5,6}:{(19,1),(54,1),(55,1),(77,1),(134,1)}
        33:{1,2,4,6}:{(16,1),(17,1),(19,1),(23,1),(56,1),(57,1),(59,1),(62,1),(113,1)}
        34:{1,2,5,7}:{(16,1),(18,1),(20,1),(57,1),(58,1),(107,1),(110,1)}
        35:{3,4,6}:{(17,1),(25,1),(52,1),(56,1),(59,1),(60,1)}
        36:{1,4,7}:{(17,1),(18,1),(60,1),(165,1)}
        37:{1,3,6,7}:{(18,1),(27,1),(58,1),(61,1),(108,1),(116,1),(219,1)}
        38:{3,4,6}:{(19,1),(28,1),(54,1),(56,1),(62,1),(63,1)}
        39:{2,4,7}:{(19,1),(20,1),(63,1),(165,1)}
        40:{2,3,6,7}:{(20,1),(30,1),(58,1),(64,1),(111,1),(116,1),(220,1)}
        41:{1,2,4}:{(21,1),(65,1)}
        42:{1,2,3,5,7}:{(21,1),(22,1),(24,1),(66,1),(67,1),(70,1),(126,1),(127,1),(168,1),(201,1)}
        43:{3,5}:{(23,1),(56,1),(65,1)}
        44:{1,2,4,5,7}:{(23,1),(24,1),(26,1),(29,1),(57,1),(66,1),(70,1),(71,1),(72,1),(75,1),(117,1),(126,1),(127,1),(165,1),(172,1),(196,1),(202,1)}
        45:{1,2,6}:{(24,1),(27,1),(30,1)}
        46:{2,4,5}:{(25,1),(59,1),(69,1)}
        47:{3,4,5,7}:{(25,1),(26,1),(60,1),(70,1),(72,1),(73,1),(119,1),(165,1),(172,1),(198,1),(204,1)}
        48:{1,4,6}:{(26,1),(27,1),(73,1),(74,1)}
        49:{1,4,5}:{(28,1),(62,1),(68,1)}
        50:{3,4,5,7}:{(28,1),(29,1),(63,1),(70,1),(75,1),(76,1),(121,1),(165,1),(172,1),(197,1),(203,1)}
        51:{2,4,6}:{(29,1),(30,1),(76,1),(77,1)}
        52:{3,5,6}:{(31,1),(35,1),(78,1),(79,1)}
        53:{1,4,5,7}:{(31,1),(36,1),(79,1),(80,1),(90,1),(144,1)}
        54:{3,5,6}:{(32,1),(38,1),(81,1),(82,1)}
        55:{2,4,5,7}:{(32,1),(39,1),(82,1),(83,1),(93,1),(146,1)}
        56:{3,6}:{(33,1),(43,1),(86,1)}
        57:{1,2,4,7}:{(33,1),(34,1),(36,1),(39,1),(86,1),(88,1),(91,1),(139,1)}
        58:{1,2,6,7}:{(34,1),(37,1),(40,1),(45,1),(135,1),(137,1),(225,1)}
        59:{2,4,6}:{(35,1),(46,1),(78,1),(85,1),(88,1)}
        60:{3,4,7}:{(35,1),(36,1),(79,1),(86,1),(88,1)}
        61:{1,4,6,7}:{(36,1),(37,1),(48,1),(89,1),(90,1),(208,1),(212,1)}
        62:{1,4,6}:{(38,1),(49,1),(81,1),(84,1),(91,1)}
        63:{3,4,7}:{(38,1),(39,1),(82,1),(86,1),(91,1)}
        64:{2,4,6,7}:{(39,1),(40,1),(51,1),(92,1),(93,1),(209,1),(211,1)}
        65:{3,4}:{(41,1),(43,1)}
        66:{1,2,4,7}:{(41,1),(42,1),(96,1),(97,1),(213,1)}
        67:{1,2,3,6}:{(42,1),(45,1),(97,1),(101,1),(152,1)}
        68:{1,3,5}:{(43,1),(49,1),(84,1),(94,1),(98,1)}
        69:{2,3,5}:{(43,1),(46,1),(85,1),(95,1),(98,1)}
        70:{3,5,7}:{(43,1),(44,1),(86,1),(96,1),(101,1),(151,1),(210,1),(214,1)}
        71:{1,2,4,6}:{(44,1),(45,1),(48,1),(51,1),(101,1),(102,1),(103,1),(105,1),(152,1),(155,1)}
        72:{2,4,5,7}:{(46,1),(47,1),(88,1),(100,1),(103,1),(143,1),(182,1),(188,1)}
        73:{3,4,6}:{(47,1),(48,1),(101,1),(103,1),(104,1),(155,1)}
        74:{1,5,6}:{(48,1),(90,1),(104,1)}
        75:{1,4,5,7}:{(49,1),(50,1),(91,1),(99,1),(105,1),(145,1),(181,1),(187,1)}
        76:{3,4,6}:{(50,1),(51,1),(101,1),(105,1),(106,1),(155,1)}
        77:{2,5,6}:{(51,1),(93,1),(106,1)}
        78:{2,5,6}:{(52,1),(59,1),(107,1)}
        79:{3,5,7}:{(52,1),(53,1),(60,1),(107,1),(108,1)}
        80:{1,4,6,7}:{(53,1),(108,1),(109,1),(159,1)}
        81:{1,5,6}:{(54,1),(62,1),(110,1)}
        82:{3,5,7}:{(54,1),(55,1),(63,1),(110,1),(111,1)}
        83:{2,4,6,7}:{(55,1),(111,1),(112,1),(161,1)}
        84:{1,3,6}:{(56,1),(62,1),(68,1),(113,1),(114,1)}
        85:{2,3,6}:{(56,1),(59,1),(69,1),(113,1),(115,1)}
        86:{3,7}:{(56,1),(57,1)}
        87:{1,2,4,6,7}:{(57,1),(58,1),(61,1),(64,1),(71,1),(116,1),(117,1),(118,1),(120,1),(162,1),(165,1),(196,1)}
        88:{2,4,7}:{(59,1),(60,1),(107,1),(115,1)}
        89:{3,4,6,7}:{(60,1),(61,1),(73,1),(108,1),(116,1),(118,1),(119,1),(159,1),(165,1),(194,1),(198,1)}
        90:{1,5,7}:{(61,1),(74,1),(119,1)}
        91:{1,4,7}:{(62,1),(63,1),(110,1),(114,1)}
        92:{3,4,6,7}:{(63,1),(64,1),(76,1),(111,1),(116,1),(120,1),(121,1),(161,1),(165,1),(195,1),(197,1)}
        93:{2,5,7}:{(64,1),(77,1),(121,1)}
        94:{1,3,4}:{(65,1),(68,1),(122,1)}
        95:{2,3,4}:{(65,1),(69,1),(122,1)}
        96:{3,4,7}:{(65,1),(66,1),(70,1),(125,1),(165,1),(221,1)}
        97:{1,2,4,6}:{(66,1),(67,1),(125,1),(126,1)}
        98:{1,2,5}:{(68,1),(69,1),(113,1),(122,1)}
        99:{1,3,5,7}:{(68,1),(70,1),(75,1),(114,1),(123,1),(127,1),(128,1),(170,1)}
       100:{2,3,5,7}:{(69,1),(70,1),(72,1),(115,1),(124,1),(127,1),(129,1),(171,1)}
       101:{3,6}:{(70,1),(71,1)}
       102:{1,2,5,6}:{(71,1),(74,1),(77,1),(117,1),(126,1),(130,1),(131,1),(133,1)}
       103:{2,4,6}:{(72,1),(73,1),(129,1),(131,1)}
       104:{3,5,6}:{(73,1),(74,1),(119,1),(131,1),(132,1)}
       105:{1,4,6}:{(75,1),(76,1),(128,1),(133,1)}
       106:{3,5,6}:{(76,1),(77,1),(121,1),(133,1),(134,1)}
       107:{2,5,7}:{(78,1),(79,1),(88,1),(135,1)}
       108:{3,6,7}:{(79,1),(80,1),(135,1)}
       109:{1,5,6,7}:{(80,1),(90,1),(136,1),(208,1)}
       110:{1,5,7}:{(81,1),(82,1),(91,1),(137,1)}
       111:{3,6,7}:{(82,1),(83,1),(137,1)}
       112:{2,5,6,7}:{(83,1),(93,1),(138,1),(209,1)}
       113:{1,2,6}:{(84,1),(85,1),(98,1),(139,1)}
       114:{1,3,7}:{(84,1),(86,1),(91,1),(139,1)}
       115:{2,3,7}:{(85,1),(86,1),(88,1),(139,1)}
       116:{3,6,7}:{(86,1),(87,1),(101,1),(142,1),(210,1)}
       117:{1,2,5,7}:{(87,1),(90,1),(93,1),(102,1),(142,1),(143,1),(145,1)}
       118:{2,4,6,7}:{(88,1),(89,1),(103,1),(135,1),(141,1),(143,1),(182,1)}
       119:{3,5,7}:{(89,1),(90,1),(104,1),(143,1),(144,1)}
       120:{1,4,6,7}:{(91,1),(92,1),(105,1),(137,1),(140,1),(145,1),(181,1)}
       121:{3,5,7}:{(92,1),(93,1),(106,1),(145,1),(146,1)}
       122:{1,2,4}:{(94,1),(95,1),(98,1),(147,1)}
       123:{1,3,4,7}:{(94,1),(96,1),(99,1),(148,1),(149,1),(181,1),(210,1)}
       124:{2,3,4,7}:{(95,1),(96,1),(100,1),(148,1),(150,1),(182,1),(210,1)}
       125:{3,4,6}:{(96,1),(97,1),(101,1),(151,1),(155,1)}
       126:{1,2,5}:{(97,1),(151,1)}
       127:{1,2,5,7}:{(98,1),(99,1),(100,1),(139,1),(148,1),(152,1),(186,1)}
       128:{1,3,6}:{(99,1),(101,1),(105,1),(152,1)}
       129:{2,3,6}:{(100,1),(101,1),(103,1),(152,1)}
       130:{3,5,6}:{(101,1),(102,1),(142,1),(151,1),(155,1)}
       131:{2,5,6}:{(103,1),(104,1),(143,1)}
       132:{4,5,6}:{(104,1),(144,1),(155,1)}
       133:{1,5,6}:{(105,1),(106,1),(145,1)}
       134:{4,5,6}:{(106,1),(146,1),(155,1)}
       135:{2,6,7}:{(107,1),(108,1)}
       136:{3,5,6,7}:{(108,1),(109,1),(119,1),(158,1),(159,1),(194,1)}
       137:{1,6,7}:{(110,1),(111,1)}
       138:{3,5,6,7}:{(111,1),(112,1),(121,1),(160,1),(161,1),(195,1)}
       139:{1,2,7}:{(113,1),(114,1),(115,1)}
       140:{1,3,6,7}:{(114,1),(116,1),(120,1),(128,1),(162,1),(163,1),(195,1)}
       141:{2,3,6,7}:{(115,1),(116,1),(118,1),(129,1),(162,1),(164,1),(194,1)}
       142:{3,5,7}:{(116,1),(117,1),(130,1),(165,1)}
       143:{2,5,7}:{(118,1),(119,1),(131,1)}
       144:{4,5,7}:{(119,1),(132,1),(159,1),(165,1)}
       145:{1,5,7}:{(120,1),(121,1),(133,1)}
       146:{4,5,7}:{(121,1),(134,1),(161,1),(165,1)}
       147:{1,2,3}:{(122,1)}
       148:{1,2,4,7}:{(122,1),(123,1),(124,1),(127,1),(168,1),(169,1)}
       149:{1,3,4,6}:{(123,1),(125,1),(128,1),(169,1),(170,1),(174,1),(205,1),(221,1)}
       150:{2,3,4,6}:{(124,1),(125,1),(129,1),(169,1),(171,1),(175,1),(205,1),(221,1)}
       151:{3,5}:{(125,1),(126,1),(172,1)}
       152:{1,2,6}:{(127,1),(128,1),(129,1)}
       153:{1,3,5,6}:{(128,1),(130,1),(133,1),(163,1),(170,1),(173,1),(174,1),(177,1),(205,1)}
       154:{2,3,5,6}:{(129,1),(130,1),(131,1),(164,1),(171,1),(173,1),(175,1),(176,1),(205,1)}
       155:{4,6}:{(130,1),(165,1),(172,1)}
       156:{2,4,5,6}:{(131,1),(132,1),(166,1),(175,1),(176,1)}
       157:{1,4,5,6}:{(133,1),(134,1),(167,1),(174,1),(177,1)}
       158:{2,5,6,7}:{(135,1),(136,1),(143,1),(178,1)}
       159:{4,6,7}:{(136,1),(144,1)}
       160:{1,5,6,7}:{(137,1),(138,1),(145,1),(179,1)}
       161:{4,6,7}:{(138,1),(146,1)}
       162:{1,2,6,7}:{(139,1),(140,1),(141,1),(152,1),(180,1),(208,1),(209,1)}
       163:{1,3,5,7}:{(140,1),(142,1),(145,1),(153,1),(180,1),(181,1),(184,1),(210,1)}
       164:{2,3,5,7}:{(141,1),(142,1),(143,1),(154,1),(180,1),(182,1),(183,1),(210,1)}
       165:{4,7}:{(142,1),(155,1)}
       166:{2,4,5,7}:{(143,1),(144,1),(156,1),(178,1),(182,1),(183,1)}
       167:{1,4,5,7}:{(145,1),(146,1),(157,1),(179,1),(181,1),(184,1)}
       168:{1,2,3,7}:{(147,1),(148,1),(185,1),(210,1),(225,1)}
       169:{1,2,4,6}:{(148,1),(149,1),(150,1),(152,1),(185,1),(186,1),(213,1)}
       170:{1,3,5}:{(149,1),(151,1),(186,1),(187,1),(214,1)}
       171:{2,3,5}:{(150,1),(151,1),(186,1),(188,1),(214,1)}
       172:{4,5}:{(151,1),(155,1)}
       173:{1,2,5,6}:{(152,1),(153,1),(154,1),(180,1),(186,1),(189,1),(192,1),(193,1)}
       174:{1,4,6}:{(153,1),(155,1),(181,1),(187,1),(190,1)}
       175:{2,4,6}:{(154,1),(155,1),(182,1),(188,1),(191,1)}
       176:{3,5,6}:{(156,1),(183,1),(191,1),(192,1)}
       177:{3,5,6}:{(157,1),(184,1),(190,1),(193,1)}
       178:{2,4,6,7}:{(158,1),(159,1),(166,1),(194,1)}
       179:{1,4,6,7}:{(160,1),(161,1),(167,1),(195,1)}
       180:{1,2,5,7}:{(162,1),(163,1),(164,1),(173,1),(196,1),(199,1),(200,1)}
       181:{1,4,7}:{(163,1),(165,1),(174,1),(197,1)}
       182:{2,4,7}:{(164,1),(165,1),(175,1),(198,1)}
       183:{3,5,7}:{(166,1),(176,1),(194,1),(198,1),(199,1)}
       184:{3,5,7}:{(167,1),(177,1),(195,1),(197,1),(200,1)}
       185:{1,2,3,6}:{(168,1),(169,1),(201,1),(205,1),(224,1)}
       186:{1,2,5}:{(169,1),(170,1),(171,1)}
       187:{1,4,5}:{(170,1),(172,1),(174,1),(203,1)}
       188:{2,4,5}:{(171,1),(172,1),(175,1),(204,1)}
       189:{1,2,4,6}:{(173,1),(174,1),(175,1),(196,1),(202,1),(205,1),(206,1),(207,1),(224,1)}
       190:{3,4,6}:{(174,1),(177,1),(197,1),(203,1),(205,1),(206,1)}
       191:{3,4,6}:{(175,1),(176,1),(198,1),(204,1),(205,1),(207,1)}
       192:{1,5,6}:{(176,1),(199,1),(207,1)}
       193:{2,5,6}:{(177,1),(200,1),(206,1)}
       194:{3,6,7}:{(178,1),(183,1),(208,1)}
       195:{3,6,7}:{(179,1),(184,1),(209,1)}
       196:{1,2,4,7}:{(180,1),(181,1),(182,1),(189,1),(210,1),(211,1),(212,1),(225,1)}
       197:{3,4,7}:{(181,1),(184,1),(190,1),(210,1),(211,1)}
       198:{3,4,7}:{(182,1),(183,1),(191,1),(210,1),(212,1)}
       199:{1,5,7}:{(183,1),(192,1),(208,1),(212,1)}
       200:{2,5,7}:{(184,1),(193,1),(209,1),(211,1)}
       201:{1,2,3,5}:{(185,1),(186,1),(213,1),(214,1),(228,1),(230,1)}
       202:{1,2,4,5}:{(186,1),(187,1),(188,1),(189,1),(213,1),(214,1),(215,1),(216,1),(228,1)}
       203:{3,4,5}:{(187,1),(190,1),(214,1),(215,1)}
       204:{3,4,5}:{(188,1),(191,1),(214,1),(216,1)}
       205:{3,6}:{(189,1),(210,1),(214,1)}
       206:{2,4,6}:{(190,1),(193,1),(211,1),(215,1),(218,1)}
       207:{1,4,6}:{(191,1),(192,1),(212,1),(216,1),(217,1)}
       208:{1,6,7}:{(194,1),(199,1)}
       209:{2,6,7}:{(195,1),(200,1)}
       210:{3,7}:{(196,1),(205,1)}
       211:{2,4,7}:{(197,1),(200,1),(206,1),(220,1)}
       212:{1,4,7}:{(198,1),(199,1),(207,1),(219,1)}
       213:{1,2,4}:{(201,1),(221,1)}
       214:{3,5}:{(202,1),(205,1),(221,1)}
       215:{2,4,5}:{(203,1),(206,1),(223,1)}
       216:{1,4,5}:{(204,1),(207,1),(222,1)}
       217:{1,3,6}:{(205,1),(207,1),(219,1),(222,1),(224,1)}
       218:{2,3,6}:{(205,1),(206,1),(220,1),(223,1),(224,1)}
       219:{1,3,7}:{(210,1),(212,1),(217,1),(225,1)}
       220:{2,3,7}:{(210,1),(211,1),(218,1),(225,1)}
       221:{3,4}:{(213,1),(214,1)}
       222:{1,3,5}:{(214,1),(216,1),(217,1),(226,1),(228,1)}
       223:{2,3,5}:{(214,1),(215,1),(218,1),(227,1),(228,1)}
       224:{1,2,6}:{(217,1),(218,1),(225,1),(228,1)}
       225:{1,2,7}:{(219,1),(220,1),(224,1)}
       226:{1,3,4}:{(221,1),(222,1),(229,1)}
       227:{2,3,4}:{(221,1),(223,1),(229,1)}
       228:{1,2,5}:{(222,1),(223,1),(224,1),(229,1)}
       229:{1,2,4}:{(226,1),(227,1),(228,1),(230,1)}
       230:{1,2,3}:{(229,1)}

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

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

 779 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(75,1),(76,1),(78,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(14,1),(39,1),(40,1),(41,1),(44,1),(46,1),(78,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(24,1),(82,1),(83,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(57,1),(58,1),(62,1),(64,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(49,1),(50,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(15,1),(33,1),(41,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(12,1),(94,1),(95,1)}
         7:{1,2,4,5}:{(4,1),(14,1),(35,1),(36,1),(44,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(15,1),(67,1),(68,1)}
         9:{3,4,6}:{(4,1),(14,1),(15,1),(41,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,4,5,6}:{(7,1),(22,1),(23,1),(24,1),(49,1),(50,1),(51,1),(59,1),(86,1),(87,1)}
        12:{1,2,5,6}:{(6,1),(18,1),(24,1),(86,1),(87,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(24,1),(25,1),(53,1),(54,1),(62,1)}
        14:{3,5}:{(7,1),(9,1)}
        15:{3,4,7}:{(8,1),(9,1),(25,1)}
        16:{1,3,4,6}:{(9,1),(26,1),(28,1),(30,1),(49,1),(60,1),(85,1),(90,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(29,1),(30,1),(50,1),(61,1),(85,1),(90,1),(105,1)}
        18:{3,5,6}:{(10,1),(12,1),(33,1),(41,1)}
        19:{4,5,7}:{(10,1),(33,1)}
        20:{3,4,5}:{(14,1),(32,1),(35,1),(36,1),(74,1)}
        21:{1,2,5,6,7}:{(12,1),(31,1),(37,1),(94,1),(95,1)}
        22:{1,2,4,5,7}:{(11,1),(37,1),(38,1),(65,1),(67,1),(68,1),(77,1),(94,1),(95,1)}
        23:{3,5,6}:{(11,1),(14,1),(32,1),(38,1),(41,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(33,1),(41,1),(71,1),(72,1),(78,1)}
        25:{3,5,7}:{(13,1),(14,1),(15,1),(41,1)}
        26:{1,3,5}:{(14,1),(16,1),(35,1),(44,1),(74,1),(109,1)}
        27:{2,3,5}:{(14,1),(17,1),(36,1),(44,1),(74,1),(109,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(42,1),(45,1),(67,1),(97,1),(100,1)}
        29:{2,3,4,7}:{(15,1),(17,1),(43,1),(45,1),(68,1),(97,1),(100,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(44,1),(45,1),(46,1),(78,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(47,1),(56,1),(81,1)}
        32:{3,4,6}:{(20,1),(23,1),(48,1),(49,1),(50,1),(85,1)}
        33:{4,6}:{(18,1),(19,1)}
        34:{3,4,5,7}:{(19,1),(20,1),(25,1),(48,1),(52,1),(53,1),(54,1),(81,1),(89,1),(110,1),(111,1)}
        35:{1,4,5}:{(20,1),(26,1),(49,1),(111,1)}
        36:{2,4,5}:{(20,1),(27,1),(50,1),(111,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(24,1),(47,1),(56,1),(82,1),(83,1),(91,1)}
        38:{3,5,7}:{(22,1),(23,1),(48,1),(56,1)}
        39:{1,3,5,6}:{(23,1),(26,1),(49,1),(57,1),(59,1),(60,1),(85,1),(86,1),(104,1)}
        40:{2,3,5,6}:{(23,1),(27,1),(50,1),(58,1),(59,1),(61,1),(85,1),(87,1),(104,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(28,1),(53,1),(60,1),(62,1),(89,1)}
        43:{2,3,5,7}:{(25,1),(27,1),(29,1),(54,1),(61,1),(62,1),(89,1)}
        44:{1,2,5}:{(26,1),(27,1),(30,1)}
        45:{1,2,4,7}:{(28,1),(29,1),(30,1),(62,1),(64,1)}
        46:{1,2,3,6}:{(30,1),(63,1),(64,1),(85,1)}
        47:{4,6,7}:{(31,1),(33,1),(65,1)}
        48:{3,4,7}:{(32,1),(38,1),(67,1),(68,1),(97,1)}
        49:{1,4,6}:{(32,1),(35,1),(39,1),(67,1),(108,1)}
        50:{2,4,6}:{(32,1),(36,1),(40,1),(68,1),(108,1)}
        51:{4,5,6}:{(33,1),(65,1),(70,1),(108,1)}
        52:{3,4,6}:{(33,1),(34,1),(41,1),(70,1),(71,1),(72,1),(99,1),(108,1)}
        53:{1,4,5,7}:{(34,1),(35,1),(42,1),(67,1),(71,1),(94,1)}
        54:{2,4,5,7}:{(34,1),(36,1),(43,1),(68,1),(72,1),(95,1)}
        55:{1,2,4,5}:{(35,1),(36,1),(44,1),(69,1),(74,1),(80,1)}
        56:{3,6,7}:{(37,1),(38,1),(41,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(67,1),(75,1),(77,1),(94,1),(97,1),(107,1)}
        58:{2,3,5,7}:{(38,1),(40,1),(68,1),(76,1),(77,1),(95,1),(97,1),(107,1)}
        59:{1,2,5,6}:{(39,1),(40,1),(44,1),(69,1),(77,1),(78,1)}
        60:{1,3,6}:{(41,1),(42,1),(71,1),(78,1),(99,1)}
        61:{2,3,6}:{(41,1),(43,1),(72,1),(78,1),(99,1)}
        62:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(78,1)}
        63:{1,2,3,5}:{(44,1),(46,1),(74,1),(80,1)}
        64:{1,2,3,7}:{(45,1),(46,1),(97,1)}
        65:{4,5,7}:{(47,1),(51,1),(81,1),(110,1)}
        66:{3,4,6,7}:{(47,1),(48,1),(52,1),(56,1),(81,1),(82,1),(83,1),(103,1),(110,1)}
        67:{1,4,7}:{(48,1),(49,1),(57,1),(110,1)}
        68:{2,4,7}:{(48,1),(50,1),(58,1),(110,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(55,1),(59,1),(84,1),(85,1)}
        70:{3,5,6}:{(51,1),(52,1),(81,1),(86,1),(87,1)}
        71:{1,4,6}:{(52,1),(53,1),(60,1),(86,1)}
        72:{2,4,6}:{(52,1),(54,1),(61,1),(87,1)}
        73:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(62,1),(84,1),(88,1),(89,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        74:{3,5}:{(55,1),(85,1),(90,1)}
        75:{1,3,6,7}:{(56,1),(57,1),(60,1),(82,1),(91,1),(103,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(61,1),(83,1),(91,1),(103,1)}
        77:{1,2,5,7}:{(57,1),(58,1),(59,1),(84,1),(91,1)}
        78:{1,2,6}:{(60,1),(61,1),(62,1)}
        79:{1,2,3,5,7}:{(62,1),(63,1),(64,1),(89,1),(92,1),(93,1),(106,1)}
        80:{1,2,4}:{(63,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(70,1),(94,1),(95,1)}
        82:{1,4,6,7}:{(66,1),(67,1),(71,1),(75,1),(94,1)}
        83:{2,4,6,7}:{(66,1),(68,1),(72,1),(76,1),(95,1)}
        84:{1,2,4,7}:{(67,1),(68,1),(69,1),(77,1),(97,1)}
        85:{3,6}:{(69,1),(74,1),(97,1)}
        86:{1,5,6}:{(70,1),(71,1),(94,1)}
        87:{2,5,6}:{(70,1),(72,1),(95,1)}
        88:{1,2,4,6}:{(71,1),(72,1),(73,1),(78,1),(98,1),(99,1),(108,1)}
        89:{3,5,7}:{(73,1),(74,1),(97,1),(99,1),(100,1),(109,1)}
        90:{3,4}:{(74,1),(80,1)}
        91:{1,2,6,7}:{(75,1),(76,1),(77,1),(78,1)}
        92:{1,2,3,6}:{(78,1),(79,1),(99,1),(101,1)}
        93:{1,2,4,7}:{(79,1),(80,1),(100,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(86,1)}
        95:{2,5,7}:{(81,1),(83,1),(87,1)}
        96:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(88,1),(91,1),(102,1),(103,1),(110,1)}
        97:{3,7}:{(84,1),(85,1)}
        98:{1,2,5,6}:{(86,1),(87,1),(88,1),(102,1),(104,1),(106,1)}
        99:{3,6}:{(88,1),(89,1)}
       100:{3,4,7}:{(89,1),(90,1),(93,1),(105,1),(110,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(98,1),(107,1)}
       103:{3,6,7}:{(96,1),(97,1),(99,1),(107,1)}
       104:{3,5,6}:{(98,1),(99,1),(107,1),(108,1),(109,1)}
       105:{3,4,6}:{(99,1),(100,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(104,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

 780 :   0:{1,3,5,6,7}:{(2,1),(3,1),(13,1),(14,1),(36,1),(42,1),(80,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(13,1),(17,1),(40,1),(43,1),(77,1)}
         2:{1,2,5,6,7}:{(0,1),(1,1),(5,1),(28,1),(31,1),(58,1),(61,1),(64,1)}
         3:{1,4,6,7}:{(0,1),(6,1),(7,1),(56,1),(62,1),(100,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(9,1),(60,1),(63,1),(97,1)}
         5:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(12,1),(13,1),(16,1),(18,1),(44,1),(76,1),(79,1),(83,1)}
         6:{1,4,5,7}:{(3,1),(10,1),(14,1),(119,1)}
         7:{3,4,6,7}:{(3,1),(13,1),(14,1),(16,1),(35,1),(41,1),(118,1)}
         8:{2,4,5,7}:{(4,1),(11,1),(17,1),(116,1)}
         9:{3,4,6,7}:{(4,1),(13,1),(17,1),(18,1),(38,1),(41,1),(115,1)}
        10:{1,4,5,6}:{(6,1),(21,1),(56,1)}
        11:{2,4,5,6}:{(8,1),(22,1),(60,1)}
        12:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(20,1),(23,1),(28,1),(31,1),(62,1),(63,1),(64,1)}
        13:{3,6,7}:{(5,1),(23,1),(96,1),(99,1),(103,1)}
        14:{3,5,7}:{(6,1),(7,1),(21,1),(28,1),(132,1)}
        15:{1,3,4,6,7}:{(7,1),(24,1),(27,1),(29,1),(56,1),(62,1),(92,1),(96,1),(103,1),(105,1),(129,1)}
        16:{2,4,6,7}:{(7,1),(25,1),(28,1),(57,1),(63,1),(131,1)}
        17:{3,5,7}:{(8,1),(9,1),(22,1),(31,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(24,1),(31,1),(59,1),(62,1),(129,1)}
        19:{2,3,4,6,7}:{(9,1),(25,1),(32,1),(33,1),(60,1),(63,1),(93,1),(99,1),(103,1),(107,1),(131,1)}
        20:{1,2,4,5,6}:{(10,1),(11,1),(12,1),(34,1),(37,1),(39,1),(72,1),(73,1),(74,1),(76,1),(79,1),(110,1),(116,1),(119,1),(136,1),(137,1)}
        21:{3,5,6}:{(10,1),(14,1),(35,1),(37,1)}
        22:{3,5,6}:{(11,1),(17,1),(38,1),(39,1)}
        23:{3,5,7}:{(12,1),(13,1),(34,1),(41,1)}
        24:{1,3,6,7}:{(13,1),(18,1),(42,1),(44,1),(78,1),(114,1)}
        25:{2,3,6,7}:{(13,1),(16,1),(43,1),(44,1),(75,1),(117,1)}
        26:{3,4,5,7}:{(14,1),(35,1),(41,1),(45,1),(46,1),(71,1),(85,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(36,1),(45,1),(47,1),(85,1),(108,1),(136,1)}
        28:{2,5,7}:{(14,1),(16,1),(37,1),(137,1)}
        29:{1,2,4,6,7}:{(15,1),(16,1),(44,1),(47,1),(48,1),(76,1),(83,1),(86,1),(111,1)}
        30:{3,4,5,7}:{(17,1),(38,1),(41,1),(49,1),(50,1),(71,1),(88,1)}
        31:{1,5,7}:{(17,1),(18,1),(39,1),(136,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(40,1),(50,1),(51,1),(88,1),(109,1),(137,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(44,1),(51,1),(52,1),(79,1),(83,1),(89,1),(112,1)}
        34:{3,5,6}:{(20,1),(23,1),(53,1),(96,1),(99,1),(126,1),(130,1),(132,1)}
        35:{3,4,6}:{(21,1),(26,1),(56,1),(57,1),(96,1)}
        36:{1,3,5,6}:{(21,1),(27,1),(56,1),(58,1),(96,1)}
        37:{2,5,6}:{(21,1),(28,1),(57,1)}
        38:{3,4,6}:{(22,1),(30,1),(59,1),(60,1),(99,1)}
        39:{1,5,6}:{(22,1),(31,1),(59,1)}
        40:{2,3,5,6}:{(22,1),(32,1),(60,1),(61,1),(99,1)}
        41:{3,4,7}:{(23,1),(53,1),(62,1),(63,1),(103,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(31,1),(54,1),(62,1),(64,1),(103,1)}
        43:{2,3,5,7}:{(23,1),(25,1),(28,1),(55,1),(63,1),(64,1),(103,1)}
        44:{1,2,6,7}:{(24,1),(25,1),(64,1),(95,1),(98,1)}
        45:{1,4,5,7}:{(26,1),(27,1),(56,1),(62,1),(90,1)}
        46:{2,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(65,1),(91,1)}
        47:{1,2,5,7}:{(27,1),(28,1),(29,1),(58,1),(67,1),(124,1)}
        48:{2,3,6,7}:{(29,1),(67,1),(96,1),(103,1),(127,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(59,1),(62,1),(68,1),(90,1)}
        50:{2,4,5,7}:{(30,1),(32,1),(60,1),(63,1),(91,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(61,1),(70,1),(125,1)}
        52:{1,3,6,7}:{(33,1),(70,1),(99,1),(103,1),(128,1)}
        53:{3,4,6}:{(34,1),(41,1),(71,1),(72,1),(73,1),(113,1),(135,1)}
        54:{1,3,5,6}:{(34,1),(39,1),(42,1),(72,1),(74,1),(78,1),(108,1),(113,1),(114,1),(134,1),(136,1)}
        55:{2,3,5,6}:{(34,1),(37,1),(43,1),(73,1),(74,1),(75,1),(109,1),(113,1),(117,1),(133,1),(137,1)}
        56:{1,4,6}:{(35,1),(36,1),(45,1)}
        57:{2,4,6}:{(35,1),(37,1),(46,1),(75,1)}
        58:{1,2,5,6}:{(36,1),(37,1),(47,1),(76,1),(77,1),(136,1)}
        59:{1,4,6}:{(38,1),(39,1),(49,1),(78,1)}
        60:{2,4,6}:{(38,1),(40,1),(50,1)}
        61:{1,2,5,6}:{(39,1),(40,1),(51,1),(79,1),(80,1),(137,1)}
        62:{1,4,7}:{(41,1),(42,1),(72,1)}
        63:{2,4,7}:{(41,1),(43,1),(73,1)}
        64:{1,2,5,7}:{(42,1),(43,1),(44,1),(74,1),(83,1)}
        65:{2,3,5,7}:{(46,1),(75,1),(82,1),(84,1),(85,1),(109,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(76,1),(83,1),(84,1),(85,1),(86,1),(110,1),(116,1),(122,1),(136,1)}
        67:{2,3,5,7}:{(47,1),(48,1),(77,1),(85,1),(86,1),(133,1)}
        68:{1,3,5,7}:{(49,1),(78,1),(81,1),(87,1),(88,1),(108,1)}
        69:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(79,1),(83,1),(87,1),(88,1),(89,1),(110,1),(119,1),(123,1),(137,1)}
        70:{1,3,5,7}:{(51,1),(52,1),(80,1),(88,1),(89,1),(134,1)}
        71:{3,4,5}:{(53,1),(90,1),(91,1),(126,1),(130,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(62,1),(90,1),(139,1)}
        73:{2,4,6}:{(53,1),(55,1),(63,1),(91,1),(138,1)}
        74:{1,2,5,6}:{(54,1),(55,1),(64,1),(94,1),(95,1),(98,1),(124,1),(125,1)}
        75:{2,3,6}:{(57,1),(65,1),(95,1),(96,1)}
        76:{1,2,4,6}:{(56,1),(57,1),(58,1),(66,1),(95,1),(96,1),(97,1),(129,1)}
        77:{2,3,5,6}:{(58,1),(67,1),(96,1),(97,1),(130,1)}
        78:{1,3,6}:{(59,1),(68,1),(98,1),(99,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(69,1),(98,1),(99,1),(100,1),(131,1)}
        80:{1,3,5,6}:{(61,1),(70,1),(99,1),(100,1),(132,1)}
        81:{1,3,4,7}:{(62,1),(68,1),(92,1),(101,1),(103,1),(107,1)}
        82:{2,3,4,7}:{(63,1),(65,1),(93,1),(102,1),(103,1),(105,1)}
        83:{1,2,4,7}:{(62,1),(63,1),(64,1),(94,1),(103,1)}
        84:{1,2,5,7}:{(65,1),(95,1),(102,1),(104,1),(125,1)}
        85:{3,5,7}:{(66,1),(96,1),(103,1),(105,1),(126,1),(130,1)}
        86:{2,4,7}:{(67,1),(97,1),(105,1),(138,1)}
        87:{1,2,5,7}:{(68,1),(98,1),(101,1),(106,1),(124,1)}
        88:{3,5,7}:{(69,1),(99,1),(103,1),(107,1),(126,1),(132,1)}
        89:{1,4,7}:{(70,1),(100,1),(107,1),(139,1)}
        90:{1,4,5}:{(71,1),(72,1),(108,1),(136,1)}
        91:{2,4,5}:{(71,1),(73,1),(109,1),(137,1)}
        92:{1,3,4,6}:{(72,1),(78,1),(81,1),(108,1),(111,1),(113,1),(118,1),(135,1)}
        93:{2,3,4,6}:{(73,1),(75,1),(82,1),(109,1),(112,1),(113,1),(115,1),(135,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(83,1),(110,1),(113,1)}
        95:{1,2,6}:{(75,1),(84,1),(114,1)}
        96:{3,6}:{(76,1),(85,1)}
        97:{2,4,6}:{(77,1),(86,1),(115,1),(116,1)}
        98:{1,2,6}:{(78,1),(87,1),(117,1)}
        99:{3,6}:{(79,1),(88,1)}
       100:{1,4,6}:{(80,1),(89,1),(118,1),(119,1)}
       101:{1,2,4,7}:{(81,1),(87,1),(111,1),(120,1),(123,1)}
       102:{1,2,4,7}:{(82,1),(84,1),(112,1),(121,1),(122,1)}
       103:{3,7}:{(83,1),(113,1)}
       104:{1,3,5,7}:{(84,1),(85,1),(114,1),(121,1),(122,1),(134,1),(136,1)}
       105:{3,4,7}:{(85,1),(86,1),(115,1),(122,1),(135,1)}
       106:{2,3,5,7}:{(87,1),(88,1),(117,1),(120,1),(123,1),(133,1),(137,1)}
       107:{3,4,7}:{(88,1),(89,1),(118,1),(123,1),(135,1)}
       108:{1,3,5}:{(90,1),(92,1),(124,1),(126,1),(132,1)}
       109:{2,3,5}:{(91,1),(93,1),(125,1),(126,1),(130,1)}
       110:{1,2,4,5}:{(90,1),(91,1),(94,1),(124,1),(125,1),(126,1),(138,1),(139,1)}
       111:{1,2,4,6}:{(92,1),(98,1),(101,1),(124,1),(127,1),(131,1),(138,1)}
       112:{1,2,4,6}:{(93,1),(95,1),(102,1),(125,1),(128,1),(129,1),(139,1)}
       113:{3,6}:{(94,1),(103,1),(126,1)}
       114:{1,3,6}:{(95,1),(96,1),(104,1),(129,1)}
       115:{3,4,6}:{(96,1),(97,1),(105,1),(129,1),(130,1)}
       116:{2,4,5}:{(97,1),(130,1)}
       117:{2,3,6}:{(98,1),(99,1),(106,1),(131,1)}
       118:{3,4,6}:{(99,1),(100,1),(107,1),(131,1),(132,1)}
       119:{1,4,5}:{(100,1),(132,1)}
       120:{2,3,7}:{(101,1),(103,1),(127,1)}
       121:{1,3,7}:{(102,1),(103,1),(128,1)}
       122:{1,4,7}:{(104,1),(105,1),(129,1),(139,1)}
       123:{2,4,7}:{(106,1),(107,1),(131,1),(138,1)}
       124:{1,2,5}:{(108,1),(111,1),(133,1),(137,1)}
       125:{1,2,5}:{(109,1),(112,1),(134,1),(136,1)}
       126:{3,5}:{(110,1),(113,1),(135,1)}
       127:{2,3,6}:{(111,1),(113,1),(120,1),(133,1)}
       128:{1,3,6}:{(112,1),(113,1),(121,1),(134,1)}
       129:{1,4,6}:{(114,1),(115,1),(122,1),(136,1)}
       130:{3,5}:{(115,1),(116,1),(136,1)}
       131:{2,4,6}:{(117,1),(118,1),(123,1),(137,1)}
       132:{3,5}:{(118,1),(119,1),(137,1)}
       133:{2,3,5}:{(124,1),(126,1),(127,1),(138,1)}
       134:{1,3,5}:{(125,1),(126,1),(128,1),(139,1)}
       135:{3,4}:{(126,1),(138,1),(139,1)}
       136:{1,5}:{(129,1),(130,1)}
       137:{2,5}:{(131,1),(132,1)}
       138:{2,4}:{(133,1),(135,1)}
       139:{1,4}:{(134,1),(135,1)}

 781 :   0:{1,2,3,5,6}:{(1,1),(2,1),(7,1),(10,1),(35,1),(37,1),(39,1),(42,1),(45,1),(78,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(50,1),(52,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(18,1),(24,1),(28,1),(57,1),(58,1),(60,1)}
         3:{3,4,6}:{(1,1),(10,1),(11,1),(42,1)}
         4:{1,2,4,5}:{(1,1),(10,1),(31,1),(32,1),(35,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(71,1),(73,1)}
         6:{1,2,3,6,7}:{(2,1),(14,1),(42,1),(78,1),(79,1),(80,1)}
         7:{1,2,3,6}:{(15,1),(17,1),(18,1),(83,1)}
         8:{2,3,4,6}:{(3,1),(17,1),(19,1),(20,1),(46,1),(50,1),(59,1),(83,1),(85,1)}
         9:{1,3,4,6}:{(3,1),(17,1),(21,1),(22,1),(46,1),(52,1),(61,1),(83,1),(85,1)}
        10:{3,5}:{(3,1),(4,1)}
        11:{3,4,7}:{(3,1),(5,1),(24,1)}
        12:{1,2,4,5,6}:{(4,1),(23,1),(26,1),(27,1),(50,1),(52,1),(56,1),(90,1),(92,1),(94,1)}
        13:{1,2,4,5,7}:{(4,1),(5,1),(24,1),(27,1),(28,1),(51,1),(53,1),(57,1),(64,1)}
        14:{1,2,4,6,7}:{(5,1),(6,1),(25,1),(27,1),(28,1),(89,1),(91,1)}
        15:{1,2,3,5}:{(7,1),(29,1),(35,1),(66,1)}
        16:{3,4,5}:{(10,1),(31,1),(32,1),(33,1),(66,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(9,1),(29,1),(35,1),(36,1),(78,1)}
        18:{1,2,3,7}:{(7,1),(36,1),(97,1)}
        19:{2,3,5}:{(8,1),(10,1),(31,1),(35,1),(66,1),(99,1)}
        20:{2,3,4,7}:{(8,1),(11,1),(36,1),(38,1),(67,1),(71,1),(97,1)}
        21:{1,3,5}:{(9,1),(10,1),(32,1),(35,1),(66,1),(99,1)}
        22:{1,3,4,7}:{(9,1),(11,1),(36,1),(40,1),(67,1),(73,1),(97,1)}
        23:{3,5,6}:{(10,1),(12,1),(33,1),(41,1),(42,1)}
        24:{3,5,7}:{(10,1),(11,1),(13,1),(42,1)}
        25:{3,4,6,7}:{(11,1),(14,1),(42,1),(43,1),(82,1)}
        26:{1,2,4,5,7}:{(12,1),(41,1),(44,1),(71,1),(73,1),(77,1),(102,1),(103,1),(104,1)}
        27:{1,2,4,6}:{(13,1),(42,1),(45,1),(72,1),(74,1),(78,1),(82,1)}
        28:{1,2,5,7}:{(14,1),(43,1),(45,1),(102,1),(103,1)}
        29:{1,2,4}:{(15,1),(46,1)}
        30:{1,2,3,5,7}:{(15,1),(18,1),(48,1),(49,1),(57,1),(84,1),(88,1)}
        31:{2,4,5}:{(16,1),(19,1),(50,1),(107,1)}
        32:{1,4,5}:{(16,1),(21,1),(52,1),(107,1)}
        33:{3,4,6}:{(16,1),(23,1),(50,1),(52,1),(54,1),(83,1)}
        34:{3,4,5,7}:{(16,1),(24,1),(51,1),(53,1),(54,1),(55,1),(64,1),(84,1),(93,1),(107,1),(111,1)}
        35:{1,2,5}:{(17,1),(19,1),(21,1)}
        36:{1,2,4,7}:{(17,1),(18,1),(20,1),(22,1),(57,1)}
        37:{2,3,5,6}:{(19,1),(23,1),(50,1),(56,1),(58,1),(59,1),(83,1),(90,1),(106,1)}
        38:{2,3,5,7}:{(19,1),(20,1),(24,1),(51,1),(57,1),(59,1),(84,1)}
        39:{1,3,5,6}:{(21,1),(23,1),(52,1),(56,1),(60,1),(61,1),(83,1),(92,1),(106,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(24,1),(53,1),(57,1),(61,1),(84,1)}
        41:{3,5,7}:{(23,1),(26,1),(54,1),(62,1)}
        42:{3,6}:{(24,1),(27,1)}
        43:{3,5,7}:{(25,1),(28,1),(63,1),(64,1)}
        44:{1,2,4,6,7}:{(26,1),(27,1),(62,1),(65,1),(89,1),(91,1),(95,1),(96,1)}
        45:{1,2,5,6}:{(27,1),(28,1),(63,1),(90,1),(92,1)}
        46:{3,4}:{(29,1),(66,1)}
        47:{1,2,4,5}:{(29,1),(31,1),(32,1),(35,1),(66,1),(68,1)}
        48:{1,2,4,7}:{(29,1),(30,1),(67,1),(70,1)}
        49:{1,2,3,6}:{(30,1),(70,1),(78,1),(98,1)}
        50:{2,4,6}:{(31,1),(33,1),(37,1),(71,1),(110,1)}
        51:{2,4,5,7}:{(31,1),(34,1),(38,1),(71,1),(72,1),(102,1)}
        52:{1,4,6}:{(32,1),(33,1),(39,1),(73,1),(110,1)}
        53:{1,4,5,7}:{(32,1),(34,1),(40,1),(73,1),(74,1),(103,1)}
        54:{3,4,7}:{(33,1),(41,1),(71,1),(73,1),(97,1)}
        55:{3,4,6}:{(34,1),(42,1),(72,1),(74,1),(76,1),(82,1),(98,1),(110,1)}
        56:{1,2,5,6}:{(35,1),(37,1),(39,1),(68,1),(77,1),(78,1)}
        57:{1,2,5,7}:{(35,1),(36,1),(38,1),(40,1),(78,1)}
        58:{2,3,5,7}:{(37,1),(41,1),(71,1),(77,1),(79,1),(97,1),(102,1),(109,1)}
        59:{2,3,6}:{(38,1),(42,1),(72,1),(78,1),(98,1)}
        60:{1,3,5,7}:{(39,1),(41,1),(73,1),(77,1),(80,1),(97,1),(103,1),(109,1)}
        61:{1,3,6}:{(40,1),(42,1),(74,1),(78,1),(98,1)}
        62:{3,6,7}:{(41,1),(42,1),(44,1)}
        63:{3,5,6}:{(42,1),(43,1),(45,1),(82,1)}
        64:{4,5,7}:{(43,1),(82,1)}
        65:{1,2,5,6,7}:{(44,1),(45,1),(81,1),(102,1),(103,1)}
        66:{3,5}:{(46,1),(47,1),(83,1)}
        67:{3,4,7}:{(46,1),(48,1),(84,1),(85,1),(111,1)}
        68:{1,2,4,6}:{(47,1),(50,1),(52,1),(56,1),(83,1),(86,1)}
        69:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(53,1),(57,1),(84,1),(86,1),(87,1),(88,1),(107,1),(108,1),(111,1)}
        70:{1,2,4,6}:{(48,1),(49,1),(85,1),(88,1)}
        71:{2,4,7}:{(50,1),(54,1),(58,1),(111,1)}
        72:{2,4,6}:{(51,1),(55,1),(59,1),(90,1)}
        73:{1,4,7}:{(52,1),(54,1),(60,1),(111,1)}
        74:{1,4,6}:{(53,1),(55,1),(61,1),(92,1)}
        75:{3,4,6,7}:{(54,1),(55,1),(62,1),(89,1),(91,1),(93,1),(96,1),(105,1),(111,1)}
        76:{3,5,6}:{(55,1),(90,1),(92,1),(93,1),(94,1)}
        77:{1,2,5,7}:{(56,1),(58,1),(60,1),(86,1),(95,1)}
        78:{1,2,6}:{(57,1),(59,1),(61,1)}
        79:{2,3,6,7}:{(58,1),(59,1),(62,1),(89,1),(95,1),(105,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(62,1),(91,1),(95,1),(105,1)}
        81:{3,5,6,7}:{(62,1),(63,1),(65,1),(93,1),(96,1)}
        82:{4,6}:{(63,1),(64,1)}
        83:{3,6}:{(66,1),(68,1),(97,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(97,1),(98,1),(99,1)}
        85:{3,4,6}:{(67,1),(70,1),(98,1),(99,1),(110,1)}
        86:{1,2,4,7}:{(68,1),(71,1),(73,1),(77,1),(97,1)}
        87:{1,2,4,6}:{(69,1),(72,1),(74,1),(78,1),(98,1),(101,1),(110,1)}
        88:{1,2,5}:{(70,1),(99,1)}
        89:{2,4,6,7}:{(71,1),(72,1),(75,1),(79,1),(102,1)}
        90:{2,5,6}:{(72,1),(76,1),(102,1)}
        91:{1,4,6,7}:{(73,1),(74,1),(75,1),(80,1),(103,1)}
        92:{1,5,6}:{(74,1),(76,1),(103,1)}
        93:{3,5,7}:{(75,1),(76,1),(102,1),(103,1),(104,1)}
        94:{4,5,6}:{(76,1),(82,1),(104,1),(110,1)}
        95:{1,2,6,7}:{(77,1),(78,1),(79,1),(80,1)}
        96:{4,6,7}:{(81,1),(82,1),(104,1)}
        97:{3,7}:{(83,1),(86,1)}
        98:{3,6}:{(84,1),(87,1)}
        99:{3,5}:{(85,1),(88,1),(107,1)}
       100:{1,2,4,6,7}:{(86,1),(87,1),(89,1),(91,1),(95,1),(105,1),(108,1),(111,1)}
       101:{1,2,5,6}:{(87,1),(88,1),(90,1),(92,1),(106,1),(108,1)}
       102:{2,5,7}:{(89,1),(90,1),(93,1)}
       103:{1,5,7}:{(91,1),(92,1),(93,1)}
       104:{4,5,7}:{(93,1),(94,1),(96,1),(111,1)}
       105:{3,6,7}:{(97,1),(98,1),(100,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(101,1),(109,1),(110,1)}
       107:{4,5}:{(99,1),(110,1)}
       108:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(109,1)}
       109:{3,5,7}:{(105,1),(106,1),(108,1),(111,1)}
       110:{4,6}:{(106,1),(107,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

 782 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(20,1),(51,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(32,1),(66,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(46,1),(81,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(18,1),(23,1),(45,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(19,1),(23,1),(44,1),(83,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(61,1),(101,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(60,1),(100,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(30,1),(31,1),(103,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(41,1),(81,1),(150,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(21,1),(23,1),(37,1),(46,1)}
        13:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(23,1),(38,1),(46,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(23,1),(122,1)}
        15:{1,2,3,5,6,7}:{(8,1),(23,1),(24,1),(44,1),(45,1),(47,1),(50,1),(70,1),(82,1),(83,1),(84,1),(125,1),(157,1),(169,1),(171,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(25,1),(101,1),(158,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(26,1),(100,1),(161,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(25,1),(30,1),(32,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(26,1),(31,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(32,1),(60,1),(61,1)}
        21:{1,2,4,6,7}:{(12,1),(30,1),(33,1),(52,1),(60,1)}
        22:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(53,1),(61,1)}
        23:{3,6,7}:{(14,1),(32,1),(142,1)}
        24:{1,2,4,6,7}:{(15,1),(35,1),(36,1),(60,1),(61,1),(90,1),(100,1),(101,1),(173,1),(174,1)}
        25:{1,3,5,6}:{(16,1),(18,1),(37,1),(39,1),(41,1),(144,1)}
        26:{2,3,5,6}:{(17,1),(19,1),(38,1),(40,1),(41,1),(147,1)}
        27:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(39,1),(40,1),(41,1),(71,1),(72,1),(111,1),(122,1)}
        28:{1,3,4,5,7}:{(18,1),(37,1),(42,1),(46,1),(73,1),(80,1),(115,1),(121,1),(144,1)}
        29:{2,3,4,5,7}:{(19,1),(38,1),(43,1),(46,1),(73,1),(79,1),(118,1),(121,1),(147,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(39,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(40,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(41,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(68,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(69,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(50,1),(81,1),(110,1),(157,1),(172,1)}
        36:{1,2,4,5,7}:{(24,1),(50,1),(51,1),(79,1),(80,1),(82,1),(111,1)}
        37:{1,3,4,6}:{(25,1),(28,1),(52,1),(56,1),(101,1),(142,1)}
        38:{2,3,4,6}:{(26,1),(29,1),(53,1),(56,1),(100,1),(142,1)}
        39:{1,2,5,6}:{(25,1),(30,1),(52,1),(54,1),(127,1)}
        40:{1,2,5,6}:{(26,1),(31,1),(53,1),(55,1),(130,1)}
        41:{3,5,6}:{(27,1),(32,1),(56,1),(132,1),(142,1)}
        42:{1,2,4,5,7}:{(28,1),(30,1),(52,1),(57,1),(60,1),(91,1),(94,1),(127,1)}
        43:{1,2,4,5,7}:{(29,1),(31,1),(53,1),(58,1),(61,1),(92,1),(96,1),(130,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(54,1),(60,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(55,1),(61,1)}
        46:{3,4,7}:{(32,1),(56,1),(60,1),(61,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(59,1),(63,1),(86,1),(88,1),(142,1),(166,1),(167,1)}
        48:{2,3,4,6,7}:{(33,1),(35,1),(60,1),(63,1),(64,1),(87,1),(98,1),(100,1),(129,1),(142,1),(167,1),(174,1)}
        49:{1,3,4,6,7}:{(34,1),(35,1),(61,1),(63,1),(65,1),(89,1),(98,1),(101,1),(126,1),(142,1),(166,1),(173,1)}
        50:{3,5,7}:{(35,1),(36,1),(66,1),(132,1)}
        51:{1,2,4,5,6}:{(36,1),(66,1),(100,1),(101,1),(103,1)}
        52:{1,2,4,6}:{(37,1),(39,1),(42,1),(68,1),(71,1)}
        53:{1,2,4,6}:{(38,1),(40,1),(43,1),(69,1),(72,1)}
        54:{2,3,5,6}:{(39,1),(41,1),(44,1),(68,1),(71,1),(107,1)}
        55:{1,3,5,6}:{(40,1),(41,1),(45,1),(69,1),(72,1),(109,1)}
        56:{3,4,6}:{(41,1),(46,1),(71,1),(72,1),(73,1)}
        57:{2,3,5,7}:{(42,1),(68,1),(75,1),(107,1),(121,1)}
        58:{1,3,5,7}:{(43,1),(69,1),(77,1),(109,1),(121,1)}
        59:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(70,1),(78,1),(82,1),(121,1),(169,1),(171,1)}
        60:{2,4,7}:{(44,1),(46,1),(71,1)}
        61:{1,4,7}:{(45,1),(46,1),(72,1)}
        62:{3,4,5,7}:{(46,1),(50,1),(73,1),(79,1),(80,1),(81,1),(121,1),(150,1),(172,1)}
        63:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(78,1),(82,1),(106,1),(108,1),(122,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(79,1),(82,1),(83,1),(107,1),(121,1),(147,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(80,1),(82,1),(84,1),(109,1),(121,1),(144,1)}
        66:{3,5,6}:{(50,1),(51,1),(81,1)}
        67:{1,2,4,5,6,7}:{(51,1),(85,1),(123,1),(124,1),(125,1),(152,1)}
        68:{2,3,6}:{(52,1),(57,1),(142,1)}
        69:{1,3,6}:{(53,1),(58,1),(142,1)}
        70:{1,2,3,5,6}:{(54,1),(55,1),(59,1),(86,1),(88,1),(90,1),(103,1),(127,1),(130,1),(132,1),(142,1),(159,1),(162,1)}
        71:{2,4,6}:{(54,1),(56,1),(60,1),(91,1)}
        72:{1,4,6}:{(55,1),(56,1),(61,1),(92,1)}
        73:{3,4,5}:{(56,1),(91,1),(92,1),(132,1)}
        74:{1,2,3,5,7}:{(57,1),(86,1),(94,1),(127,1),(136,1)}
        75:{2,3,4,7}:{(57,1),(60,1),(87,1),(94,1),(98,1)}
        76:{1,2,3,5,7}:{(58,1),(88,1),(96,1),(130,1),(139,1)}
        77:{1,3,4,7}:{(58,1),(61,1),(89,1),(96,1),(98,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(61,1),(90,1),(98,1),(173,1),(174,1)}
        79:{2,4,5,7}:{(60,1),(62,1),(64,1),(91,1),(100,1),(161,1),(174,1)}
        80:{1,4,5,7}:{(61,1),(62,1),(65,1),(92,1),(101,1),(158,1),(173,1)}
        81:{3,4,6}:{(62,1),(66,1),(100,1),(101,1),(142,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(65,1),(103,1),(127,1),(130,1)}
        83:{2,3,5,6}:{(64,1),(66,1),(100,1),(103,1),(142,1)}
        84:{1,3,5,6}:{(65,1),(66,1),(101,1),(103,1),(142,1)}
        85:{3,5,6,7}:{(66,1),(67,1),(102,1),(165,1)}
        86:{1,2,3,6}:{(68,1),(74,1),(106,1),(153,1)}
        87:{2,3,4,6}:{(68,1),(71,1),(75,1),(106,1),(107,1),(110,1)}
        88:{1,2,3,6}:{(69,1),(76,1),(108,1),(155,1)}
        89:{1,3,4,6}:{(69,1),(72,1),(77,1),(108,1),(109,1),(110,1)}
        90:{1,2,4,6}:{(70,1),(71,1),(72,1),(78,1),(110,1),(111,1),(168,1),(170,1)}
        91:{2,4,5}:{(71,1),(73,1),(107,1)}
        92:{1,4,5}:{(72,1),(73,1),(109,1)}
        93:{3,4,5,6}:{(73,1),(81,1),(112,1),(113,1),(114,1),(151,1)}
        94:{1,2,4,7}:{(74,1),(75,1),(106,1),(115,1)}
        95:{2,3,4,5,7}:{(75,1),(79,1),(107,1),(116,1),(117,1),(121,1),(146,1),(150,1),(172,1)}
        96:{1,2,4,7}:{(76,1),(77,1),(108,1),(118,1)}
        97:{1,3,4,5,7}:{(77,1),(80,1),(109,1),(119,1),(120,1),(121,1),(149,1),(150,1),(172,1)}
        98:{3,4,7}:{(78,1),(110,1),(121,1)}
        99:{1,2,4,5,7}:{(78,1),(79,1),(80,1),(82,1),(111,1),(121,1),(122,1)}
       100:{2,4,6}:{(79,1),(81,1),(83,1)}
       101:{1,4,6}:{(80,1),(81,1),(84,1)}
       102:{3,4,6,7}:{(81,1),(85,1),(114,1),(123,1),(124,1),(157,1),(172,1)}
       103:{1,2,5,6}:{(82,1),(83,1),(84,1),(122,1)}
       104:{2,3,5,6,7}:{(83,1),(85,1),(123,1),(125,1),(146,1),(157,1),(171,1)}
       105:{1,3,5,6,7}:{(84,1),(85,1),(124,1),(125,1),(149,1),(157,1),(169,1)}
       106:{1,2,4,6}:{(86,1),(87,1),(94,1),(126,1),(127,1)}
       107:{2,3,5}:{(87,1),(91,1),(127,1),(132,1)}
       108:{1,2,4,6}:{(88,1),(89,1),(96,1),(129,1),(130,1)}
       109:{1,3,5}:{(89,1),(92,1),(130,1),(132,1)}
       110:{3,4,6}:{(90,1),(98,1),(132,1),(142,1)}
       111:{1,2,4,5}:{(90,1),(91,1),(92,1),(127,1),(130,1),(132,1),(158,1),(161,1)}
       112:{2,4,5,6}:{(91,1),(93,1),(100,1),(128,1),(134,1)}
       113:{1,4,5,6}:{(92,1),(93,1),(101,1),(131,1),(135,1)}
       114:{3,4,5,7}:{(93,1),(102,1),(134,1),(135,1),(165,1)}
       115:{1,3,4,7}:{(94,1),(98,1),(126,1),(136,1),(173,1)}
       116:{1,2,4,5,7}:{(94,1),(95,1),(127,1),(136,1),(137,1),(158,1),(160,1),(173,1)}
       117:{2,3,4,6}:{(95,1),(100,1),(128,1),(137,1),(142,1),(164,1)}
       118:{2,3,4,7}:{(96,1),(98,1),(129,1),(139,1),(174,1)}
       119:{1,2,4,5,7}:{(96,1),(97,1),(130,1),(139,1),(140,1),(161,1),(163,1),(174,1)}
       120:{1,3,4,6}:{(97,1),(101,1),(131,1),(140,1),(142,1),(164,1)}
       121:{3,5,7}:{(98,1),(99,1),(132,1),(142,1)}
       122:{1,2,4,6}:{(99,1),(100,1),(101,1),(103,1),(142,1)}
       123:{2,4,6,7}:{(100,1),(102,1),(104,1),(134,1),(174,1)}
       124:{1,4,6,7}:{(101,1),(102,1),(105,1),(135,1),(173,1)}
       125:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(143,1),(160,1),(163,1)}
       126:{1,3,4,6}:{(106,1),(110,1),(115,1),(144,1),(153,1),(168,1)}
       127:{1,2,5}:{(106,1),(107,1),(144,1)}
       128:{2,3,5,6}:{(107,1),(112,1),(117,1),(145,1),(146,1),(151,1)}
       129:{2,3,4,6}:{(108,1),(110,1),(118,1),(147,1),(155,1),(170,1)}
       130:{1,2,5}:{(108,1),(109,1),(147,1)}
       131:{1,3,5,6}:{(109,1),(113,1),(120,1),(148,1),(149,1),(151,1)}
       132:{3,5}:{(110,1),(111,1)}
       133:{1,2,4,5,6}:{(111,1),(112,1),(113,1),(122,1),(145,1),(148,1),(151,1),(152,1),(168,1),(170,1)}
       134:{2,4,5,7}:{(112,1),(114,1),(123,1),(146,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(124,1),(149,1)}
       136:{1,3,5,7}:{(115,1),(116,1),(121,1),(144,1),(153,1)}
       137:{1,2,4,6}:{(116,1),(117,1),(145,1),(153,1),(168,1)}
       138:{2,3,4,6,7}:{(117,1),(123,1),(146,1),(154,1),(157,1),(172,1)}
       139:{2,3,5,7}:{(118,1),(119,1),(121,1),(147,1),(155,1)}
       140:{1,2,4,6}:{(119,1),(120,1),(148,1),(155,1),(170,1)}
       141:{1,3,4,6,7}:{(120,1),(124,1),(149,1),(156,1),(157,1),(172,1)}
       142:{3,6}:{(121,1),(122,1)}
       143:{1,2,4,6,7}:{(122,1),(123,1),(124,1),(125,1),(152,1),(157,1)}
       144:{1,3,5}:{(126,1),(127,1),(132,1),(158,1)}
       145:{1,2,5,6}:{(127,1),(128,1),(137,1),(159,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(134,1),(138,1),(160,1),(165,1)}
       147:{2,3,5}:{(129,1),(130,1),(132,1),(161,1)}
       148:{1,2,5,6}:{(130,1),(131,1),(140,1),(162,1),(163,1)}
       149:{1,3,5,7}:{(131,1),(135,1),(141,1),(163,1),(165,1)}
       150:{3,4,5}:{(132,1),(158,1),(161,1),(164,1)}
       151:{3,5,6}:{(132,1),(133,1),(142,1),(164,1),(165,1)}
       152:{1,2,4,5,7}:{(133,1),(134,1),(135,1),(143,1),(160,1),(163,1),(165,1),(173,1),(174,1)}
       153:{1,3,6}:{(136,1),(137,1),(142,1)}
       154:{1,2,4,6,7}:{(137,1),(138,1),(160,1),(166,1),(173,1)}
       155:{2,3,6}:{(139,1),(140,1),(142,1)}
       156:{1,2,4,6,7}:{(140,1),(141,1),(163,1),(167,1),(174,1)}
       157:{3,6,7}:{(142,1),(143,1),(165,1)}
       158:{1,4,5}:{(144,1),(150,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(151,1),(153,1),(168,1),(169,1)}
       160:{1,2,5,7}:{(145,1),(146,1),(154,1),(169,1)}
       161:{2,4,5}:{(147,1),(150,1),(170,1)}
       162:{2,3,5,6}:{(147,1),(148,1),(151,1),(155,1),(170,1),(171,1)}
       163:{1,2,5,7}:{(148,1),(149,1),(156,1),(171,1)}
       164:{3,4,6}:{(150,1),(151,1),(168,1),(170,1),(172,1)}
       165:{3,5,7}:{(151,1),(152,1),(157,1),(172,1)}
       166:{1,3,6,7}:{(153,1),(154,1),(157,1),(169,1)}
       167:{2,3,6,7}:{(155,1),(156,1),(157,1),(171,1)}
       168:{1,4,6}:{(158,1),(159,1),(164,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(165,1),(166,1),(173,1)}
       170:{2,4,6}:{(161,1),(162,1),(164,1),(174,1)}
       171:{2,3,5,7}:{(162,1),(163,1),(165,1),(167,1),(174,1)}
       172:{3,4,7}:{(164,1),(165,1),(173,1),(174,1)}
       173:{1,4,7}:{(168,1),(169,1),(172,1)}
       174:{2,4,7}:{(170,1),(171,1),(172,1)}

 783 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1),(11,1),(30,1),(32,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(22,1),(50,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(48,1)}
         3:{3,4,7}:{(2,1),(9,1),(10,1),(69,1),(79,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1)}
         5:{1,2,4,5,7}:{(2,1),(10,1),(11,1),(12,1),(27,1),(28,1),(32,1),(37,1),(40,1),(70,1),(79,1),(117,1)}
         6:{1,2,3,7}:{(15,1),(16,1),(90,1),(133,1),(146,1)}
         7:{2,3,4,7}:{(3,1),(16,1),(17,1),(18,1),(41,1),(91,1),(98,1),(133,1)}
         8:{1,3,4,7}:{(3,1),(16,1),(19,1),(20,1),(41,1),(92,1),(101,1),(133,1)}
         9:{3,4,6}:{(3,1),(4,1),(21,1),(22,1),(57,1)}
        10:{3,5,7}:{(3,1),(5,1),(21,1),(22,1),(93,1),(133,1)}
        11:{1,2,5}:{(4,1),(21,1)}
        12:{1,2,4,6}:{(5,1),(22,1),(23,1),(44,1),(45,1),(50,1),(57,1)}
        13:{1,2,3,5,7}:{(6,1),(25,1),(26,1),(30,1),(32,1),(60,1),(61,1)}
        14:{3,4,5,7}:{(10,1),(27,1),(28,1),(29,1),(37,1),(60,1),(68,1),(73,1),(76,1),(79,1),(102,1),(119,1),(121,1),(136,1)}
        15:{1,2,3,6}:{(6,1),(30,1),(31,1),(116,1),(141,1)}
        16:{1,2,4,7}:{(6,1),(7,1),(8,1),(31,1),(32,1),(113,1)}
        17:{2,3,4,6}:{(7,1),(9,1),(31,1),(33,1),(34,1),(59,1),(69,1),(74,1),(116,1)}
        18:{2,3,5,7}:{(7,1),(10,1),(27,1),(32,1),(33,1),(34,1),(60,1),(114,1),(142,1)}
        19:{1,3,4,6}:{(8,1),(9,1),(31,1),(35,1),(36,1),(59,1),(69,1),(77,1),(116,1)}
        20:{1,3,5,7}:{(8,1),(10,1),(28,1),(32,1),(35,1),(36,1),(60,1),(115,1),(143,1)}
        21:{3,5}:{(9,1),(11,1),(37,1)}
        22:{3,6}:{(10,1),(12,1)}
        23:{1,2,5,6}:{(11,1),(12,1),(38,1),(40,1),(63,1),(65,1)}
        24:{1,2,4,6,7}:{(12,1),(39,1),(40,1),(64,1),(66,1),(72,1),(79,1),(117,1)}
        25:{1,2,3,6}:{(13,1),(42,1),(50,1),(81,1)}
        26:{1,2,4,7}:{(13,1),(41,1),(42,1),(48,1)}
        27:{2,4,5,7}:{(14,1),(18,1),(44,1),(51,1),(85,1),(98,1),(99,1),(135,1)}
        28:{1,4,5,7}:{(14,1),(20,1),(45,1),(54,1),(87,1),(96,1),(101,1),(134,1)}
        29:{3,4,6}:{(14,1),(22,1),(44,1),(45,1),(46,1),(57,1),(81,1),(122,1)}
        30:{1,2,3,5}:{(15,1),(48,1),(49,1),(90,1),(93,1),(130,1)}
        31:{1,2,4,6}:{(15,1),(16,1),(17,1),(19,1),(48,1),(49,1),(50,1)}
        32:{1,2,5,7}:{(16,1),(18,1),(20,1),(49,1),(50,1),(130,1),(146,1)}
        33:{2,3,5}:{(17,1),(21,1),(49,1),(51,1),(80,1),(93,1)}
        34:{2,3,6}:{(18,1),(22,1),(44,1),(50,1),(81,1)}
        35:{1,3,5}:{(19,1),(21,1),(49,1),(54,1),(80,1),(93,1)}
        36:{1,3,6}:{(20,1),(22,1),(45,1),(50,1),(81,1)}
        37:{4,5}:{(21,1),(57,1)}
        38:{3,5,6}:{(21,1),(22,1),(23,1),(57,1),(58,1)}
        39:{3,6,7}:{(22,1),(24,1),(58,1),(133,1)}
        40:{1,2,5,7}:{(23,1),(24,1),(58,1),(85,1),(87,1)}
        41:{3,4,7}:{(26,1),(59,1),(60,1),(69,1),(136,1)}
        42:{1,2,4,6}:{(25,1),(26,1),(59,1),(61,1)}
        43:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(32,1),(60,1),(61,1),(62,1),(70,1),(102,1),(105,1),(117,1),(136,1)}
        44:{2,4,6}:{(27,1),(29,1),(34,1),(63,1)}
        45:{1,4,6}:{(28,1),(29,1),(36,1),(65,1)}
        46:{3,5,6}:{(29,1),(63,1),(65,1),(67,1),(68,1)}
        47:{3,4,6,7}:{(29,1),(39,1),(64,1),(66,1),(68,1),(79,1),(104,1),(112,1),(119,1),(121,1),(136,1),(137,1),(139,1)}
        48:{1,2,4}:{(30,1),(69,1)}
        49:{1,2,5}:{(31,1),(33,1),(35,1)}
        50:{1,2,6}:{(32,1),(34,1),(36,1)}
        51:{2,4,5}:{(33,1),(37,1),(73,1),(74,1),(102,1)}
        52:{2,3,5,6}:{(33,1),(34,1),(38,1),(63,1),(71,1),(74,1),(75,1),(103,1),(107,1),(116,1)}
        53:{2,3,6,7}:{(34,1),(39,1),(64,1),(72,1),(75,1),(104,1),(137,1),(142,1)}
        54:{1,4,5}:{(35,1),(37,1),(76,1),(77,1),(102,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(38,1),(65,1),(71,1),(77,1),(78,1),(103,1),(110,1),(116,1)}
        56:{1,3,6,7}:{(36,1),(39,1),(66,1),(72,1),(78,1),(104,1),(139,1),(143,1)}
        57:{4,6}:{(37,1),(38,1),(79,1)}
        58:{3,5,7}:{(38,1),(39,1),(40,1),(79,1)}
        59:{3,4,6}:{(41,1),(42,1),(80,1),(81,1),(122,1)}
        60:{3,5,7}:{(41,1),(43,1),(80,1),(81,1),(93,1),(133,1)}
        61:{1,2,5}:{(42,1),(80,1)}
        62:{1,2,4,6}:{(43,1),(44,1),(45,1),(50,1),(81,1),(82,1),(122,1)}
        63:{2,5,6}:{(44,1),(46,1),(85,1)}
        64:{2,4,6,7}:{(44,1),(47,1),(53,1),(85,1),(98,1),(135,1),(145,1)}
        65:{1,5,6}:{(45,1),(46,1),(87,1)}
        66:{1,4,6,7}:{(45,1),(47,1),(56,1),(87,1),(101,1),(134,1),(144,1)}
        67:{4,5,6}:{(46,1),(57,1),(89,1),(122,1)}
        68:{3,5,7}:{(46,1),(47,1),(85,1),(87,1),(89,1)}
        69:{3,4}:{(48,1),(93,1)}
        70:{1,2,4,5}:{(48,1),(49,1),(51,1),(54,1),(93,1),(94,1),(96,1),(99,1),(130,1)}
        71:{1,2,5,6}:{(49,1),(50,1),(52,1),(55,1),(94,1),(95,1),(125,1),(128,1)}
        72:{1,2,6,7}:{(50,1),(53,1),(56,1),(95,1),(144,1),(145,1),(146,1)}
        73:{3,4,5}:{(51,1),(93,1),(96,1),(97,1)}
        74:{2,4,6}:{(51,1),(52,1),(57,1),(97,1),(98,1),(122,1)}
        75:{2,3,5,7}:{(52,1),(53,1),(58,1),(85,1),(95,1),(98,1),(123,1),(126,1),(133,1)}
        76:{3,4,5}:{(54,1),(93,1),(99,1),(100,1)}
        77:{1,4,6}:{(54,1),(55,1),(57,1),(100,1),(101,1),(122,1)}
        78:{1,3,5,7}:{(55,1),(56,1),(58,1),(87,1),(95,1),(101,1),(123,1),(129,1),(133,1)}
        79:{4,7}:{(57,1),(58,1)}
        80:{3,5}:{(59,1),(61,1),(102,1)}
        81:{3,6}:{(60,1),(62,1)}
        82:{1,2,5,6}:{(61,1),(62,1),(63,1),(65,1),(103,1),(105,1)}
        83:{1,2,4,6,7}:{(62,1),(64,1),(66,1),(72,1),(104,1),(105,1),(117,1),(136,1)}
        84:{2,4,5,6}:{(63,1),(67,1),(74,1),(107,1),(108,1)}
        85:{2,5,7}:{(63,1),(64,1),(68,1)}
        86:{1,4,5,6}:{(65,1),(67,1),(77,1),(110,1),(111,1)}
        87:{1,5,7}:{(65,1),(66,1),(68,1)}
        88:{3,5,6,7}:{(68,1),(106,1),(109,1),(112,1),(137,1),(139,1)}
        89:{4,5,7}:{(67,1),(68,1),(79,1),(112,1),(136,1)}
        90:{1,2,3}:{(113,1)}
        91:{2,3,4}:{(69,1),(113,1),(114,1)}
        92:{1,3,4}:{(69,1),(113,1),(115,1)}
        93:{3,5}:{(69,1),(70,1),(116,1)}
        94:{1,2,4,6}:{(70,1),(71,1),(74,1),(77,1),(116,1),(117,1),(118,1),(120,1),(141,1)}
        95:{1,2,5,7}:{(71,1),(72,1),(75,1),(78,1),(117,1),(138,1),(140,1)}
        96:{1,4,5}:{(73,1),(115,1),(118,1)}
        97:{3,4,6}:{(73,1),(74,1),(107,1),(116,1),(118,1),(119,1)}
        98:{2,4,7}:{(74,1),(75,1),(79,1),(119,1),(136,1)}
        99:{2,4,5}:{(76,1),(114,1),(120,1)}
       100:{3,4,6}:{(76,1),(77,1),(110,1),(116,1),(120,1),(121,1)}
       101:{1,4,7}:{(77,1),(78,1),(79,1),(121,1),(136,1)}
       102:{4,5}:{(80,1),(122,1)}
       103:{3,5,6}:{(80,1),(81,1),(82,1),(122,1),(123,1)}
       104:{3,6,7}:{(81,1),(83,1),(123,1),(133,1)}
       105:{1,2,5,7}:{(82,1),(83,1),(85,1),(87,1),(123,1)}
       106:{2,5,6,7}:{(85,1),(88,1),(124,1),(145,1)}
       107:{3,5,6}:{(84,1),(97,1),(125,1),(126,1)}
       108:{2,4,5,7}:{(84,1),(85,1),(89,1),(98,1),(124,1),(126,1)}
       109:{1,5,6,7}:{(87,1),(88,1),(127,1),(144,1)}
       110:{3,5,6}:{(86,1),(100,1),(128,1),(129,1)}
       111:{1,4,5,7}:{(86,1),(87,1),(89,1),(101,1),(127,1),(129,1)}
       112:{4,6,7}:{(88,1),(89,1)}
       113:{1,2,4}:{(90,1),(91,1),(92,1),(130,1)}
       114:{2,3,5}:{(91,1),(93,1),(99,1),(130,1),(131,1)}
       115:{1,3,5}:{(92,1),(93,1),(96,1),(130,1),(132,1)}
       116:{3,6}:{(93,1),(94,1),(133,1)}
       117:{1,2,4,7}:{(94,1),(95,1),(98,1),(101,1),(133,1),(134,1),(135,1),(146,1)}
       118:{1,4,6}:{(96,1),(97,1),(125,1),(132,1),(134,1)}
       119:{3,4,7}:{(97,1),(98,1),(126,1),(133,1),(134,1)}
       120:{2,4,6}:{(99,1),(100,1),(128,1),(131,1),(135,1)}
       121:{3,4,7}:{(100,1),(101,1),(129,1),(133,1),(135,1)}
       122:{4,6}:{(102,1),(103,1),(136,1)}
       123:{3,5,7}:{(103,1),(104,1),(105,1),(136,1)}
       124:{2,4,6,7}:{(106,1),(108,1),(112,1),(137,1)}
       125:{1,5,6}:{(107,1),(118,1),(138,1)}
       126:{3,5,7}:{(107,1),(108,1),(119,1),(137,1),(138,1)}
       127:{1,4,6,7}:{(109,1),(111,1),(112,1),(139,1)}
       128:{2,5,6}:{(110,1),(120,1),(140,1)}
       129:{3,5,7}:{(110,1),(111,1),(121,1),(139,1),(140,1)}
       130:{1,2,5}:{(113,1),(114,1),(115,1),(141,1)}
       131:{2,3,6}:{(114,1),(116,1),(120,1),(141,1),(142,1)}
       132:{1,3,6}:{(115,1),(116,1),(118,1),(141,1),(143,1)}
       133:{3,7}:{(116,1),(117,1)}
       134:{1,4,7}:{(118,1),(119,1),(138,1),(143,1)}
       135:{2,4,7}:{(120,1),(121,1),(140,1),(142,1)}
       136:{4,7}:{(122,1),(123,1)}
       137:{3,6,7}:{(124,1),(126,1),(144,1)}
       138:{1,5,7}:{(125,1),(126,1),(134,1),(144,1)}
       139:{3,6,7}:{(127,1),(129,1),(145,1)}
       140:{2,5,7}:{(128,1),(129,1),(135,1),(145,1)}
       141:{1,2,6}:{(130,1),(131,1),(132,1),(146,1)}
       142:{2,3,7}:{(131,1),(133,1),(135,1),(146,1)}
       143:{1,3,7}:{(132,1),(133,1),(134,1),(146,1)}
       144:{1,6,7}:{(137,1),(138,1)}
       145:{2,6,7}:{(139,1),(140,1)}
       146:{1,2,7}:{(141,1),(142,1),(143,1)}

 784 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(9,1),(12,1),(30,1),(32,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(50,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(21,1),(48,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(72,1),(79,1)}
         4:{1,2,4,5,7}:{(1,1),(9,1),(11,1),(12,1),(27,1),(28,1),(30,1),(39,1),(40,1),(71,1),(79,1),(112,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1)}
         6:{1,2,3,7}:{(15,1),(16,1),(129,1),(133,1),(146,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(17,1),(18,1),(41,1),(94,1),(95,1),(129,1)}
         8:{1,3,4,7}:{(3,1),(15,1),(19,1),(20,1),(41,1),(93,1),(98,1),(129,1)}
         9:{3,5,7}:{(3,1),(4,1),(21,1),(22,1),(92,1),(129,1)}
        10:{3,4,6}:{(3,1),(5,1),(21,1),(22,1),(58,1)}
        11:{1,2,4,6}:{(4,1),(21,1),(24,1),(44,1),(45,1),(48,1),(58,1)}
        12:{1,2,5}:{(5,1),(22,1)}
        13:{1,2,3,5,7}:{(6,1),(25,1),(26,1),(30,1),(32,1),(59,1),(62,1)}
        14:{3,4,5,7}:{(9,1),(27,1),(28,1),(29,1),(39,1),(59,1),(67,1),(75,1),(78,1),(79,1),(106,1),(117,1),(119,1),(138,1)}
        15:{1,2,4,7}:{(6,1),(7,1),(8,1),(30,1),(31,1),(116,1)}
        16:{1,2,3,6}:{(6,1),(31,1),(32,1),(113,1),(143,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(27,1),(30,1),(33,1),(34,1),(59,1),(115,1),(142,1)}
        18:{2,3,4,6}:{(7,1),(10,1),(31,1),(33,1),(34,1),(60,1),(72,1),(74,1),(113,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(28,1),(30,1),(35,1),(36,1),(59,1),(114,1),(141,1)}
        20:{1,3,4,6}:{(8,1),(10,1),(31,1),(35,1),(36,1),(60,1),(72,1),(77,1),(113,1)}
        21:{3,6}:{(9,1),(11,1)}
        22:{3,5}:{(10,1),(12,1),(39,1)}
        23:{1,2,4,6,7}:{(11,1),(37,1),(40,1),(63,1),(65,1),(69,1),(79,1),(112,1)}
        24:{1,2,5,6}:{(11,1),(12,1),(38,1),(40,1),(64,1),(66,1)}
        25:{1,2,4,7}:{(13,1),(41,1),(43,1),(50,1)}
        26:{1,2,3,6}:{(13,1),(43,1),(48,1),(81,1)}
        27:{2,4,5,7}:{(14,1),(17,1),(44,1),(53,1),(85,1),(95,1),(100,1),(135,1)}
        28:{1,4,5,7}:{(14,1),(19,1),(45,1),(56,1),(87,1),(97,1),(98,1),(134,1)}
        29:{3,4,6}:{(14,1),(21,1),(44,1),(45,1),(47,1),(58,1),(81,1),(124,1)}
        30:{1,2,5,7}:{(15,1),(17,1),(19,1),(48,1),(49,1),(132,1),(146,1)}
        31:{1,2,4,6}:{(15,1),(16,1),(18,1),(20,1),(48,1),(49,1),(50,1)}
        32:{1,2,3,5}:{(16,1),(49,1),(50,1),(92,1),(132,1),(133,1)}
        33:{2,3,6}:{(17,1),(21,1),(44,1),(48,1),(81,1)}
        34:{2,3,5}:{(18,1),(22,1),(49,1),(53,1),(82,1),(92,1)}
        35:{1,3,6}:{(19,1),(21,1),(45,1),(48,1),(81,1)}
        36:{1,3,5}:{(20,1),(22,1),(49,1),(56,1),(82,1),(92,1)}
        37:{3,6,7}:{(21,1),(23,1),(57,1),(129,1)}
        38:{3,5,6}:{(21,1),(22,1),(24,1),(57,1),(58,1)}
        39:{4,5}:{(22,1),(58,1)}
        40:{1,2,5,7}:{(23,1),(24,1),(57,1),(85,1),(87,1)}
        41:{3,4,7}:{(25,1),(59,1),(60,1),(72,1),(138,1)}
        42:{1,2,4,5,7}:{(25,1),(27,1),(28,1),(30,1),(59,1),(61,1),(62,1),(71,1),(106,1),(107,1),(112,1),(138,1)}
        43:{1,2,4,6}:{(25,1),(26,1),(60,1),(62,1)}
        44:{2,4,6}:{(27,1),(29,1),(33,1),(64,1)}
        45:{1,4,6}:{(28,1),(29,1),(35,1),(66,1)}
        46:{3,4,6,7}:{(29,1),(37,1),(63,1),(65,1),(67,1),(79,1),(103,1),(104,1),(117,1),(119,1),(136,1),(137,1),(138,1)}
        47:{3,5,6}:{(29,1),(64,1),(66,1),(67,1),(68,1)}
        48:{1,2,6}:{(30,1),(33,1),(35,1)}
        49:{1,2,5}:{(31,1),(34,1),(36,1)}
        50:{1,2,4}:{(32,1),(72,1)}
        51:{2,3,6,7}:{(33,1),(37,1),(63,1),(69,1),(73,1),(104,1),(136,1),(142,1)}
        52:{2,3,5,6}:{(33,1),(34,1),(38,1),(64,1),(70,1),(73,1),(74,1),(105,1),(109,1),(113,1)}
        53:{2,4,5}:{(34,1),(39,1),(74,1),(75,1),(106,1)}
        54:{1,3,6,7}:{(35,1),(37,1),(65,1),(69,1),(76,1),(104,1),(137,1),(141,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(38,1),(66,1),(70,1),(76,1),(77,1),(105,1),(111,1),(113,1)}
        56:{1,4,5}:{(36,1),(39,1),(77,1),(78,1),(106,1)}
        57:{3,5,7}:{(37,1),(38,1),(40,1),(79,1)}
        58:{4,6}:{(38,1),(39,1),(79,1)}
        59:{3,5,7}:{(41,1),(42,1),(81,1),(82,1),(92,1),(129,1)}
        60:{3,4,6}:{(41,1),(43,1),(81,1),(82,1),(124,1)}
        61:{1,2,4,6}:{(42,1),(44,1),(45,1),(48,1),(81,1),(84,1),(124,1)}
        62:{1,2,5}:{(43,1),(82,1)}
        63:{2,4,6,7}:{(44,1),(46,1),(51,1),(85,1),(95,1),(135,1),(145,1)}
        64:{2,5,6}:{(44,1),(47,1),(85,1)}
        65:{1,4,6,7}:{(45,1),(46,1),(54,1),(87,1),(98,1),(134,1),(144,1)}
        66:{1,5,6}:{(45,1),(47,1),(87,1)}
        67:{3,5,7}:{(46,1),(47,1),(85,1),(87,1),(89,1)}
        68:{4,5,6}:{(47,1),(58,1),(89,1),(124,1)}
        69:{1,2,6,7}:{(48,1),(51,1),(54,1),(90,1),(144,1),(145,1),(146,1)}
        70:{1,2,5,6}:{(48,1),(49,1),(52,1),(55,1),(90,1),(91,1),(126,1),(128,1)}
        71:{1,2,4,5}:{(49,1),(50,1),(53,1),(56,1),(91,1),(92,1),(97,1),(100,1),(132,1)}
        72:{3,4}:{(50,1),(92,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(57,1),(85,1),(90,1),(95,1),(123,1),(125,1),(129,1)}
        74:{2,4,6}:{(52,1),(53,1),(58,1),(95,1),(96,1),(124,1)}
        75:{3,4,5}:{(53,1),(92,1),(96,1),(97,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(57,1),(87,1),(90,1),(98,1),(123,1),(127,1),(129,1)}
        77:{1,4,6}:{(55,1),(56,1),(58,1),(98,1),(99,1),(124,1)}
        78:{3,4,5}:{(56,1),(92,1),(99,1),(100,1)}
        79:{4,7}:{(57,1),(58,1)}
        80:{3,5,6,7}:{(67,1),(101,1),(102,1),(103,1),(136,1),(137,1)}
        81:{3,6}:{(59,1),(61,1)}
        82:{3,5}:{(60,1),(62,1),(106,1)}
        83:{1,2,4,6,7}:{(61,1),(63,1),(65,1),(69,1),(104,1),(107,1),(112,1),(138,1)}
        84:{1,2,5,6}:{(61,1),(62,1),(64,1),(66,1),(105,1),(107,1)}
        85:{2,5,7}:{(63,1),(64,1),(67,1)}
        86:{2,4,5,6}:{(64,1),(68,1),(74,1),(108,1),(109,1)}
        87:{1,5,7}:{(65,1),(66,1),(67,1)}
        88:{1,4,5,6}:{(66,1),(68,1),(77,1),(110,1),(111,1)}
        89:{4,5,7}:{(67,1),(68,1),(79,1),(103,1),(138,1)}
        90:{1,2,5,7}:{(69,1),(70,1),(73,1),(76,1),(112,1),(139,1),(140,1)}
        91:{1,2,4,6}:{(70,1),(71,1),(74,1),(77,1),(112,1),(113,1),(118,1),(120,1),(143,1)}
        92:{3,5}:{(71,1),(72,1),(113,1)}
        93:{1,3,4}:{(72,1),(114,1),(116,1)}
        94:{2,3,4}:{(72,1),(115,1),(116,1)}
        95:{2,4,7}:{(73,1),(74,1),(79,1),(117,1),(138,1)}
        96:{3,4,6}:{(74,1),(75,1),(109,1),(113,1),(117,1),(118,1)}
        97:{1,4,5}:{(75,1),(114,1),(118,1)}
        98:{1,4,7}:{(76,1),(77,1),(79,1),(119,1),(138,1)}
        99:{3,4,6}:{(77,1),(78,1),(111,1),(113,1),(119,1),(120,1)}
       100:{2,4,5}:{(78,1),(115,1),(120,1)}
       101:{2,5,6,7}:{(80,1),(85,1),(121,1),(145,1)}
       102:{1,5,6,7}:{(80,1),(87,1),(122,1),(144,1)}
       103:{4,6,7}:{(80,1),(89,1)}
       104:{3,6,7}:{(81,1),(83,1),(123,1),(129,1)}
       105:{3,5,6}:{(81,1),(82,1),(84,1),(123,1),(124,1)}
       106:{4,5}:{(82,1),(124,1)}
       107:{1,2,5,7}:{(83,1),(84,1),(85,1),(87,1),(123,1)}
       108:{2,4,5,7}:{(85,1),(86,1),(89,1),(95,1),(121,1),(125,1)}
       109:{3,5,6}:{(86,1),(96,1),(125,1),(126,1)}
       110:{1,4,5,7}:{(87,1),(88,1),(89,1),(98,1),(122,1),(127,1)}
       111:{3,5,6}:{(88,1),(99,1),(127,1),(128,1)}
       112:{1,2,4,7}:{(90,1),(91,1),(95,1),(98,1),(129,1),(134,1),(135,1),(146,1)}
       113:{3,6}:{(91,1),(92,1),(129,1)}
       114:{1,3,5}:{(92,1),(93,1),(97,1),(130,1),(132,1)}
       115:{2,3,5}:{(92,1),(94,1),(100,1),(131,1),(132,1)}
       116:{1,2,4}:{(93,1),(94,1),(132,1),(133,1)}
       117:{3,4,7}:{(95,1),(96,1),(125,1),(129,1),(134,1)}
       118:{1,4,6}:{(96,1),(97,1),(126,1),(130,1),(134,1)}
       119:{3,4,7}:{(98,1),(99,1),(127,1),(129,1),(135,1)}
       120:{2,4,6}:{(99,1),(100,1),(128,1),(131,1),(135,1)}
       121:{2,4,6,7}:{(101,1),(103,1),(108,1),(136,1)}
       122:{1,4,6,7}:{(102,1),(103,1),(110,1),(137,1)}
       123:{3,5,7}:{(104,1),(105,1),(107,1),(138,1)}
       124:{4,6}:{(105,1),(106,1),(138,1)}
       125:{3,5,7}:{(108,1),(109,1),(117,1),(136,1),(139,1)}
       126:{1,5,6}:{(109,1),(118,1),(139,1)}
       127:{3,5,7}:{(110,1),(111,1),(119,1),(137,1),(140,1)}
       128:{2,5,6}:{(111,1),(120,1),(140,1)}
       129:{3,7}:{(112,1),(113,1)}
       130:{1,3,6}:{(113,1),(114,1),(118,1),(141,1),(143,1)}
       131:{2,3,6}:{(113,1),(115,1),(120,1),(142,1),(143,1)}
       132:{1,2,5}:{(114,1),(115,1),(116,1),(143,1)}
       133:{1,2,3}:{(116,1)}
       134:{1,4,7}:{(117,1),(118,1),(139,1),(141,1)}
       135:{2,4,7}:{(119,1),(120,1),(140,1),(142,1)}
       136:{3,6,7}:{(121,1),(125,1),(144,1)}
       137:{3,6,7}:{(122,1),(127,1),(145,1)}
       138:{4,7}:{(123,1),(124,1)}
       139:{1,5,7}:{(125,1),(126,1),(134,1),(144,1)}
       140:{2,5,7}:{(127,1),(128,1),(135,1),(145,1)}
       141:{1,3,7}:{(129,1),(130,1),(134,1),(146,1)}
       142:{2,3,7}:{(129,1),(131,1),(135,1),(146,1)}
       143:{1,2,6}:{(130,1),(131,1),(132,1),(146,1)}
       144:{1,6,7}:{(136,1),(139,1)}
       145:{2,6,7}:{(137,1),(140,1)}
       146:{1,2,7}:{(141,1),(142,1),(143,1)}

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

 786 :   0:{2,3,4,5}:{(1,1),(2,1),(25,1),(63,1),(74,1)}
         1:{1,2,4,5}:{(0,1),(3,1),(4,1),(14,1),(44,1),(50,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(52,1)}
         3:{1,3,5}:{(1,1),(8,1),(9,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(33,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(12,1),(13,1),(35,1),(63,1),(123,1)}
         6:{2,3,4,7}:{(2,1),(11,1),(13,1),(79,1)}
         7:{1,2,3,5}:{(3,1),(14,1),(15,1),(41,1),(44,1)}
         8:{1,3,4}:{(3,1),(14,1)}
         9:{1,3,6}:{(3,1),(4,1),(19,1)}
        10:{1,2,5,6}:{(4,1),(5,1),(18,1),(21,1),(44,1),(96,1)}
        11:{1,2,4,7}:{(4,1),(6,1),(19,1),(21,1),(53,1)}
        12:{2,4,5,6}:{(5,1),(22,1),(23,1),(90,1),(155,1)}
        13:{2,3,5,7}:{(5,1),(6,1),(21,1),(23,1),(24,1),(57,1)}
        14:{1,2,4}:{(7,1),(8,1),(25,1)}
        15:{1,2,3,6}:{(7,1),(9,1),(27,1),(29,1),(62,1)}
        16:{1,3,4,5}:{(8,1),(26,1),(30,1),(31,1),(121,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(27,1),(31,1),(32,1),(33,1),(69,1),(76,1)}
        18:{1,3,5,6}:{(9,1),(10,1),(31,1),(33,1),(34,1),(35,1),(76,1),(142,1)}
        19:{1,3,7}:{(9,1),(11,1)}
        20:{1,2,4,5,6}:{(10,1),(12,1),(33,1),(35,1),(36,1),(38,1),(67,1),(78,1),(81,1),(130,1),(142,1),(200,1),(201,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(13,1),(34,1),(37,1)}
        22:{3,4,5,6}:{(12,1),(35,1),(38,1),(39,1),(121,1),(183,1),(201,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(39,1),(40,1)}
        24:{2,3,6,7}:{(13,1),(37,1),(40,1),(84,1),(123,1)}
        25:{2,3,4}:{(14,1),(41,1)}
        26:{1,2,4,5}:{(14,1),(16,1),(41,1),(43,1),(44,1),(90,1)}
        27:{1,2,4,6}:{(14,1),(15,1),(17,1),(42,1),(44,1),(45,1),(96,1)}
        28:{1,2,3,5,6}:{(15,1),(18,1),(44,1),(46,1),(47,1),(56,1),(88,1),(94,1),(96,1),(156,1),(160,1),(163,1),(164,1),(165,1),(215,1)}
        29:{1,2,3,7}:{(15,1),(19,1),(45,1),(89,1)}
        30:{1,3,4,6}:{(16,1),(43,1),(48,1),(49,1),(149,1)}
        31:{1,3,5}:{(17,1),(44,1),(50,1),(94,1)}
        32:{1,3,4,7}:{(17,1),(19,1),(45,1),(51,1),(53,1),(99,1)}
        33:{1,4,6}:{(18,1),(50,1),(52,1),(53,1)}
        34:{1,3,5,7}:{(18,1),(19,1),(21,1),(53,1),(54,1),(57,1),(112,1)}
        35:{3,5,6}:{(20,1),(52,1),(57,1),(94,1),(163,1)}
        36:{1,2,4,5,7}:{(20,1),(21,1),(23,1),(53,1),(57,1),(58,1),(59,1),(110,1),(112,1),(113,1),(175,1),(176,1)}
        37:{1,2,6,7}:{(21,1),(24,1),(54,1),(96,1)}
        38:{1,4,5,6}:{(22,1),(55,1),(59,1),(152,1),(208,1)}
        39:{3,4,5,7}:{(22,1),(23,1),(57,1),(59,1),(60,1),(176,1)}
        40:{2,4,6,7}:{(23,1),(24,1),(60,1),(61,1),(155,1)}
        41:{2,3,5}:{(25,1),(26,1),(62,1)}
        42:{2,3,4,6}:{(25,1),(27,1),(62,1),(63,1),(64,1),(69,1),(119,1),(123,1)}
        43:{1,2,4,6}:{(26,1),(30,1),(62,1),(65,1),(66,1),(119,1)}
        44:{1,2,5}:{(27,1),(31,1),(63,1)}
        45:{1,2,4,7}:{(27,1),(29,1),(32,1),(64,1),(68,1)}
        46:{1,2,4,6}:{(28,1),(33,1),(67,1),(69,1),(70,1),(78,1),(119,1),(177,1)}
        47:{1,2,3,5,7}:{(28,1),(29,1),(34,1),(68,1),(70,1),(71,1),(83,1),(120,1),(129,1),(135,1),(186,1),(191,1),(195,1)}
        48:{1,3,5,6}:{(30,1),(31,1),(65,1),(72,1),(73,1),(76,1),(124,1)}
        49:{1,3,4,7}:{(30,1),(66,1),(73,1),(179,1)}
        50:{1,4,5}:{(31,1),(33,1),(74,1)}
        51:{1,3,5,7}:{(31,1),(32,1),(68,1),(75,1),(76,1),(129,1)}
        52:{3,4,6}:{(33,1),(35,1),(74,1),(78,1),(79,1)}
        53:{1,4,7}:{(33,1),(34,1),(79,1)}
        54:{1,3,6,7}:{(34,1),(37,1),(76,1),(80,1),(84,1)}
        55:{1,3,5,6}:{(35,1),(38,1),(77,1),(81,1),(82,1),(127,1),(192,1)}
        56:{2,3,5,6}:{(35,1),(78,1),(81,1),(83,1),(128,1),(143,1),(193,1),(200,1)}
        57:{3,5,7}:{(35,1),(36,1),(79,1),(84,1)}
        58:{1,2,4,6,7}:{(36,1),(37,1),(40,1),(80,1),(84,1),(85,1),(86,1),(130,1),(145,1),(147,1),(148,1)}
        59:{1,4,5,7}:{(38,1),(39,1),(82,1),(86,1)}
        60:{3,4,6,7}:{(39,1),(40,1),(84,1),(86,1),(87,1),(148,1),(183,1)}
        61:{2,5,6,7}:{(40,1),(87,1),(184,1)}
        62:{2,3,6}:{(41,1),(43,1),(89,1)}
        63:{2,3,5}:{(42,1),(44,1),(90,1),(94,1)}
        64:{2,3,4,7}:{(42,1),(45,1),(89,1),(91,1),(99,1),(150,1)}
        65:{1,2,5,6}:{(43,1),(44,1),(48,1),(88,1),(93,1),(96,1)}
        66:{1,2,4,7}:{(43,1),(49,1),(89,1),(93,1),(150,1)}
        67:{1,2,4,5}:{(44,1),(46,1),(50,1),(90,1),(94,1),(105,1),(152,1),(160,1)}
        68:{1,2,5,7}:{(44,1),(45,1),(51,1),(91,1),(96,1)}
        69:{3,4,6}:{(46,1),(94,1),(99,1),(163,1)}
        70:{1,2,4,7}:{(46,1),(47,1),(53,1),(99,1),(110,1),(150,1),(203,1)}
        71:{1,2,3,6,7}:{(47,1),(54,1),(96,1),(100,1),(115,1),(151,1),(163,1),(211,1),(215,1)}
        72:{1,4,5,6}:{(48,1),(50,1),(101,1),(102,1),(107,1)}
        73:{1,3,5,7}:{(48,1),(49,1),(93,1),(102,1),(103,1),(158,1)}
        74:{3,4,5}:{(50,1),(52,1),(94,1),(105,1)}
        75:{1,4,5,7}:{(50,1),(51,1),(53,1),(106,1),(107,1),(112,1)}
        76:{1,3,6}:{(51,1),(96,1),(107,1),(163,1)}
        77:{1,3,4,6}:{(52,1),(55,1),(104,1),(108,1),(109,1)}
        78:{2,4,6}:{(52,1),(56,1),(105,1),(110,1)}
        79:{3,4,7}:{(52,1),(53,1),(57,1),(110,1)}
        80:{1,4,6,7}:{(53,1),(54,1),(107,1),(111,1),(112,1)}
        81:{1,2,5,6}:{(55,1),(56,1),(108,1),(113,1),(160,1),(215,1)}
        82:{1,3,5,7}:{(55,1),(57,1),(59,1),(109,1),(113,1),(114,1)}
        83:{2,3,5,7}:{(56,1),(57,1),(110,1),(113,1),(115,1),(174,1),(175,1)}
        84:{3,6,7}:{(57,1),(58,1),(163,1)}
        85:{1,2,5,6,7}:{(58,1),(61,1),(112,1),(116,1),(117,1),(164,1),(175,1)}
        86:{1,4,6,7}:{(59,1),(60,1),(114,1),(117,1),(208,1)}
        87:{3,5,6,7}:{(60,1),(61,1),(117,1),(118,1),(209,1)}
        88:{2,3,5,6}:{(62,1),(63,1),(65,1),(119,1),(120,1),(123,1),(124,1),(184,1)}
        89:{2,3,7}:{(62,1),(66,1)}
        90:{2,4,5}:{(63,1),(119,1),(121,1)}
        91:{2,3,5,7}:{(63,1),(64,1),(68,1),(122,1),(123,1),(129,1)}
        92:{1,2,4,5,6}:{(65,1),(67,1),(72,1),(119,1),(124,1),(125,1),(130,1),(136,1),(177,1),(184,1),(185,1),(224,1),(225,1)}
        93:{1,2,5,7}:{(65,1),(66,1),(73,1),(120,1),(126,1)}
        94:{3,5}:{(67,1),(69,1)}
        95:{1,2,4,5,7}:{(67,1),(68,1),(70,1),(75,1),(122,1),(129,1),(130,1),(135,1),(140,1),(182,1),(191,1),(196,1)}
        96:{1,2,6}:{(68,1),(76,1),(123,1)}
        97:{1,3,4,6}:{(69,1),(127,1),(131,1),(132,1),(177,1),(192,1),(219,1),(223,1)}
        98:{2,3,4,6}:{(69,1),(78,1),(128,1),(131,1),(133,1),(143,1),(193,1),(199,1)}
        99:{3,4,7}:{(69,1),(70,1),(129,1)}
       100:{1,2,4,6,7}:{(70,1),(71,1),(80,1),(130,1),(134,1),(135,1),(145,1),(180,1),(221,1)}
       101:{3,4,5,6}:{(72,1),(74,1),(124,1),(136,1),(137,1),(141,1),(225,1)}
       102:{1,4,5,7}:{(72,1),(73,1),(137,1),(138,1)}
       103:{1,3,6,7}:{(73,1),(76,1),(126,1),(138,1),(188,1)}
       104:{1,3,4,5}:{(74,1),(77,1),(127,1),(139,1),(223,1)}
       105:{2,4,5}:{(74,1),(78,1),(128,1)}
       106:{3,4,5,7}:{(74,1),(75,1),(79,1),(129,1),(140,1),(141,1),(146,1),(196,1)}
       107:{1,4,6}:{(75,1),(76,1),(141,1),(142,1)}
       108:{1,2,4,6}:{(77,1),(78,1),(81,1),(139,1),(143,1),(144,1)}
       109:{1,3,4,7}:{(77,1),(79,1),(82,1),(144,1)}
       110:{2,4,7}:{(78,1),(79,1),(83,1)}
       111:{3,4,6,7}:{(79,1),(80,1),(84,1),(141,1),(145,1),(146,1),(148,1)}
       112:{1,5,7}:{(80,1),(142,1),(146,1)}
       113:{1,2,5,7}:{(81,1),(82,1),(83,1),(144,1),(147,1)}
       114:{1,3,6,7}:{(82,1),(84,1),(86,1),(147,1),(192,1)}
       115:{2,3,6,7}:{(83,1),(84,1),(145,1),(147,1),(193,1)}
       116:{3,5,6,7}:{(84,1),(85,1),(146,1),(148,1),(194,1)}
       117:{1,5,6,7}:{(86,1),(87,1),(224,1)}
       118:{4,5,6,7}:{(87,1),(148,1),(225,1)}
       119:{2,4,6}:{(88,1),(90,1),(149,1),(150,1)}
       120:{2,3,5,7}:{(88,1),(89,1),(93,1),(150,1),(151,1),(158,1),(206,1)}
       121:{3,4,5}:{(90,1),(94,1),(149,1),(152,1)}
       122:{2,4,5,7}:{(90,1),(91,1),(150,1),(154,1),(155,1),(206,1)}
       123:{2,3,6}:{(91,1),(96,1),(155,1),(163,1)}
       124:{3,5,6}:{(92,1),(94,1),(149,1),(158,1),(163,1)}
       125:{1,2,4,5,7}:{(92,1),(93,1),(102,1),(150,1),(158,1),(159,1),(168,1),(203,1),(206,1),(210,1),(229,1),(230,1)}
       126:{1,2,6,7}:{(93,1),(96,1),(103,1),(151,1)}
       127:{1,3,5}:{(94,1),(97,1),(152,1),(160,1)}
       128:{2,3,5}:{(94,1),(98,1),(105,1),(160,1)}
       129:{3,5,7}:{(94,1),(95,1),(99,1),(163,1)}
       130:{1,2,4,6}:{(95,1),(96,1),(107,1),(155,1),(163,1),(164,1),(172,1),(208,1),(215,1),(216,1)}
       131:{1,2,4,6}:{(97,1),(98,1),(160,1),(165,1),(166,1),(214,1),(215,1)}
       132:{1,3,4,7}:{(97,1),(99,1),(161,1),(166,1),(203,1),(228,1)}
       133:{2,3,4,7}:{(98,1),(99,1),(110,1),(162,1),(166,1),(174,1)}
       134:{3,4,6,7}:{(99,1),(100,1),(163,1),(167,1),(216,1)}
       135:{1,2,5,7}:{(100,1),(112,1),(164,1),(167,1),(175,1),(206,1),(229,1)}
       136:{2,4,5,6}:{(101,1),(105,1),(157,1),(168,1),(172,1)}
       137:{3,4,5,7}:{(101,1),(102,1),(158,1),(168,1),(169,1),(230,1)}
       138:{1,4,6,7}:{(102,1),(103,1),(107,1),(169,1),(170,1)}
       139:{1,2,4,5}:{(104,1),(105,1),(108,1),(160,1),(171,1),(214,1)}
       140:{2,4,5,7}:{(105,1),(106,1),(110,1),(162,1),(172,1),(175,1)}
       141:{3,4,6}:{(106,1),(107,1),(163,1),(172,1),(173,1),(216,1)}
       142:{1,5,6}:{(107,1),(112,1),(173,1)}
       143:{2,3,6}:{(108,1),(171,1),(174,1)}
       144:{1,2,4,7}:{(108,1),(109,1),(110,1),(113,1),(174,1)}
       145:{2,4,6,7}:{(110,1),(111,1),(115,1),(172,1),(175,1)}
       146:{3,5,7}:{(111,1),(112,1),(173,1),(175,1),(176,1)}
       147:{1,2,6,7}:{(113,1),(114,1),(115,1),(215,1)}
       148:{4,6,7}:{(116,1),(176,1),(216,1)}
       149:{3,4,6}:{(119,1),(121,1),(124,1),(177,1),(179,1)}
       150:{2,4,7}:{(119,1),(120,1),(179,1)}
       151:{2,3,6,7}:{(120,1),(123,1),(126,1),(180,1),(188,1)}
       152:{1,4,5}:{(121,1),(127,1),(177,1)}
       153:{2,3,4,5}:{(121,1),(128,1),(178,1),(181,1),(199,1)}
       154:{3,4,5,7}:{(121,1),(122,1),(129,1),(179,1),(182,1),(183,1),(196,1),(222,1)}
       155:{2,4,6}:{(122,1),(123,1),(183,1),(184,1)}
       156:{1,3,5,6}:{(124,1),(127,1),(177,1),(185,1),(186,1),(192,1),(219,1),(224,1)}
       157:{2,3,5,6}:{(124,1),(128,1),(136,1),(178,1),(185,1),(187,1),(193,1)}
       158:{3,5,7}:{(124,1),(125,1),(179,1),(188,1)}
       159:{1,2,4,6,7}:{(125,1),(126,1),(130,1),(138,1),(180,1),(188,1),(189,1),(197,1),(221,1),(226,1),(227,1)}
       160:{1,2,5}:{(127,1),(128,1),(131,1)}
       161:{1,3,5,7}:{(127,1),(129,1),(132,1),(182,1),(191,1),(192,1)}
       162:{2,3,5,7}:{(128,1),(129,1),(133,1),(140,1),(191,1),(193,1)}
       163:{3,6}:{(129,1),(130,1)}
       164:{1,2,5,6}:{(130,1),(135,1),(142,1),(184,1),(194,1),(200,1),(224,1)}
       165:{1,2,3,6}:{(131,1),(143,1),(190,1),(195,1),(219,1)}
       166:{1,2,4,7}:{(131,1),(132,1),(133,1),(191,1),(195,1)}
       167:{3,5,7}:{(134,1),(135,1),(194,1),(196,1)}
       168:{2,4,5,7}:{(136,1),(137,1),(187,1),(197,1)}
       169:{3,4,6,7}:{(137,1),(138,1),(141,1),(188,1),(197,1),(198,1),(227,1)}
       170:{1,5,6,7}:{(138,1),(142,1),(198,1)}
       171:{2,3,5}:{(139,1),(143,1),(199,1)}
       172:{2,4,6}:{(140,1),(141,1),(193,1),(200,1)}
       173:{3,5,6}:{(141,1),(142,1),(146,1),(200,1),(201,1)}
       174:{2,3,7}:{(143,1),(144,1)}
       175:{2,5,7}:{(145,1),(146,1),(200,1)}
       176:{4,5,7}:{(146,1),(148,1),(201,1)}
       177:{1,4,6}:{(149,1),(152,1),(156,1),(203,1)}
       178:{2,3,4,6}:{(149,1),(153,1),(157,1),(202,1),(204,1)}
       179:{3,4,7}:{(149,1),(150,1),(158,1),(203,1)}
       180:{2,4,6,7}:{(150,1),(151,1),(155,1),(205,1),(206,1)}
       181:{1,2,4,5}:{(152,1),(153,1),(160,1),(202,1),(207,1),(214,1)}
       182:{1,4,5,7}:{(152,1),(154,1),(161,1),(203,1),(208,1),(229,1)}
       183:{3,4,6}:{(154,1),(155,1),(163,1),(208,1),(209,1),(216,1)}
       184:{2,5,6}:{(155,1),(206,1),(209,1)}
       185:{1,2,5,6}:{(156,1),(157,1),(160,1),(202,1),(210,1),(215,1)}
       186:{1,3,5,7}:{(156,1),(158,1),(203,1),(210,1),(211,1),(228,1),(229,1)}
       187:{2,3,5,7}:{(157,1),(158,1),(168,1),(204,1),(210,1),(212,1)}
       188:{3,6,7}:{(158,1),(159,1),(163,1)}
       189:{1,2,5,6,7}:{(159,1),(164,1),(170,1),(206,1),(213,1),(217,1),(229,1)}
       190:{1,2,3,5}:{(160,1),(165,1),(171,1),(207,1),(214,1)}
       191:{1,2,5,7}:{(160,1),(161,1),(162,1),(166,1),(215,1)}
       192:{1,3,6}:{(161,1),(163,1),(208,1),(215,1)}
       193:{2,3,6}:{(162,1),(163,1),(172,1),(215,1)}
       194:{3,5,6}:{(163,1),(164,1),(167,1),(216,1)}
       195:{1,2,3,7}:{(165,1),(166,1),(174,1),(228,1)}
       196:{4,5,7}:{(167,1),(216,1)}
       197:{2,4,6,7}:{(168,1),(169,1),(172,1),(212,1),(217,1)}
       198:{3,5,6,7}:{(169,1),(170,1),(173,1),(217,1),(218,1)}
       199:{2,3,4}:{(171,1),(214,1)}
       200:{2,5,6}:{(172,1),(173,1),(175,1)}
       201:{4,5,6}:{(173,1),(176,1),(216,1)}
       202:{1,2,4,6}:{(177,1),(178,1),(181,1),(185,1),(219,1),(220,1)}
       203:{1,4,7}:{(177,1),(179,1),(186,1)}
       204:{2,3,4,7}:{(178,1),(179,1),(187,1),(220,1)}
       205:{3,4,6,7}:{(179,1),(180,1),(183,1),(188,1),(221,1),(222,1),(227,1)}
       206:{2,5,7}:{(180,1),(184,1),(222,1)}
       207:{1,3,5}:{(181,1),(219,1),(223,1)}
       208:{1,4,6}:{(182,1),(183,1),(192,1),(224,1)}
       209:{3,5,6}:{(183,1),(184,1),(222,1),(224,1),(225,1)}
       210:{1,2,5,7}:{(185,1),(186,1),(187,1),(220,1),(226,1)}
       211:{1,3,6,7}:{(186,1),(188,1),(192,1),(221,1),(226,1)}
       212:{2,3,6,7}:{(187,1),(188,1),(193,1),(197,1),(226,1)}
       213:{3,5,6,7}:{(188,1),(189,1),(194,1),(222,1),(227,1)}
       214:{1,2,4}:{(190,1),(199,1),(223,1)}
       215:{1,2,6}:{(191,1),(192,1),(193,1)}
       216:{4,6}:{(194,1),(196,1)}
       217:{2,5,6,7}:{(197,1),(198,1),(200,1)}
       218:{4,5,6,7}:{(198,1),(201,1),(227,1)}
       219:{1,3,6}:{(202,1),(207,1),(228,1)}
       220:{1,2,4,7}:{(202,1),(203,1),(204,1),(210,1),(228,1)}
       221:{1,4,6,7}:{(203,1),(205,1),(208,1),(211,1),(229,1)}
       222:{3,5,7}:{(205,1),(206,1),(209,1),(229,1),(230,1)}
       223:{1,3,4}:{(207,1),(214,1)}
       224:{1,5,6}:{(208,1),(209,1),(229,1)}
       225:{4,5,6}:{(209,1),(216,1),(230,1)}
       226:{1,2,6,7}:{(210,1),(211,1),(212,1),(215,1)}
       227:{4,6,7}:{(213,1),(216,1),(230,1)}
       228:{1,3,7}:{(219,1),(220,1)}
       229:{1,5,7}:{(221,1),(222,1),(224,1)}
       230:{4,5,7}:{(222,1),(225,1),(227,1)}

 787 :   0:{2,4,5,6}:{(3,1),(4,1),(27,1),(33,1),(86,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(27,1),(38,1),(77,1),(89,1),(128,1),(141,1)}
         2:{2,5,6,7}:{(9,1),(11,1),(98,1),(102,1)}
         3:{2,4,5,7}:{(0,1),(11,1),(12,1),(46,1),(49,1),(102,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(13,1)}
         5:{3,4,5}:{(10,1),(16,1),(17,1),(62,1)}
         6:{2,3,5}:{(1,1),(17,1),(19,1),(62,1),(151,1),(162,1)}
         7:{2,3,4,7}:{(1,1),(18,1),(20,1),(49,1),(104,1),(117,1),(150,1),(163,1)}
         8:{1,2,4,6}:{(1,1),(19,1),(20,1),(21,1),(63,1),(65,1),(118,1)}
         9:{3,5,6,7}:{(2,1),(23,1),(24,1),(28,1),(70,1),(73,1)}
        10:{3,4,6}:{(4,1),(5,1),(25,1),(26,1),(27,1),(77,1)}
        11:{2,4,6,7}:{(2,1),(3,1),(24,1),(28,1)}
        12:{3,5,7}:{(3,1),(4,1),(25,1),(28,1),(29,1)}
        13:{1,5,6}:{(4,1),(26,1),(29,1)}
        14:{2,3,5,6}:{(4,1),(6,1),(27,1),(30,1),(31,1),(38,1),(77,1),(86,1),(140,1)}
        15:{3,4,5,7}:{(5,1),(25,1),(34,1),(35,1),(36,1),(73,1),(88,1),(92,1),(123,1),(172,1),(180,1)}
        16:{1,4,5}:{(5,1),(26,1),(32,1)}
        17:{2,4,5}:{(5,1),(6,1),(27,1),(180,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(36,1),(38,1),(39,1),(88,1),(143,1),(167,1),(171,1)}
        19:{1,2,5}:{(6,1),(8,1),(40,1),(142,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(39,1),(41,1),(91,1),(181,1)}
        21:{1,3,6}:{(8,1),(40,1),(41,1),(77,1)}
        22:{1,3,4}:{(32,1),(43,1),(89,1)}
        23:{1,5,6,7}:{(9,1),(44,1),(51,1),(101,1)}
        24:{4,6,7}:{(9,1),(46,1)}
        25:{3,4,7}:{(10,1),(12,1),(48,1),(49,1),(104,1)}
        26:{1,4,6}:{(10,1),(13,1),(16,1),(45,1),(48,1)}
        27:{2,4,6}:{(10,1),(14,1),(17,1),(49,1),(161,1)}
        28:{3,6,7}:{(11,1),(12,1),(51,1)}
        29:{1,5,7}:{(12,1),(13,1),(48,1),(51,1)}
        30:{2,3,5,7}:{(12,1),(14,1),(49,1),(52,1),(53,1),(102,1),(104,1),(152,1)}
        31:{1,2,5,6}:{(13,1),(14,1),(19,1),(50,1),(53,1),(54,1),(63,1),(151,1),(188,1)}
        32:{1,3,5}:{(16,1),(22,1),(45,1),(57,1),(62,1)}
        33:{4,5,6}:{(46,1),(58,1),(161,1)}
        34:{3,4,6}:{(15,1),(58,1),(59,1),(60,1),(116,1),(161,1)}
        35:{1,4,5,7}:{(15,1),(16,1),(48,1),(56,1),(59,1),(101,1),(119,1),(146,1)}
        36:{2,4,5,7}:{(15,1),(17,1),(18,1),(49,1),(60,1),(102,1),(120,1),(147,1)}
        37:{1,2,4,5}:{(16,1),(17,1),(19,1),(50,1),(57,1),(62,1),(65,1),(108,1),(114,1),(151,1)}
        38:{2,3,6}:{(18,1),(60,1),(63,1),(116,1),(188,1)}
        39:{1,2,5,7}:{(18,1),(19,1),(20,1),(63,1),(64,1),(164,1),(184,1)}
        40:{1,3,5}:{(19,1),(21,1),(62,1),(65,1)}
        41:{1,3,7}:{(20,1),(21,1),(104,1),(194,1)}
        42:{1,3,4,7}:{(22,1),(56,1),(66,1),(67,1),(117,1),(146,1),(185,1),(203,1)}
        43:{1,2,4}:{(22,1),(57,1),(68,1),(114,1)}
        44:{1,4,6,7}:{(23,1),(24,1),(69,1),(70,1)}
        45:{1,3,6}:{(26,1),(32,1),(71,1),(72,1),(77,1)}
        46:{4,5,7}:{(24,1),(33,1),(73,1),(172,1)}
        47:{3,4,6,7}:{(24,1),(25,1),(28,1),(34,1),(70,1),(73,1),(74,1),(75,1),(123,1),(130,1),(172,1)}
        48:{1,4,7}:{(25,1),(26,1),(29,1),(71,1)}
        49:{2,4,7}:{(25,1),(27,1),(30,1),(172,1)}
        50:{1,2,4,6}:{(26,1),(27,1),(31,1),(37,1),(72,1),(76,1),(77,1),(80,1),(128,1)}
        51:{1,6,7}:{(28,1),(29,1)}
        52:{2,3,6,7}:{(28,1),(30,1),(38,1),(75,1),(78,1),(130,1),(167,1)}
        53:{1,2,5,7}:{(29,1),(30,1),(31,1),(76,1),(78,1),(79,1),(171,1)}
        54:{1,3,5,6}:{(31,1),(40,1),(77,1),(79,1),(80,1),(90,1),(132,1),(140,1),(142,1),(174,1),(175,1)}
        55:{1,4,5,6}:{(33,1),(69,1),(81,1),(85,1),(135,1)}
        56:{1,3,5,7}:{(32,1),(35,1),(42,1),(71,1),(82,1),(83,1),(88,1),(93,1),(207,1)}
        57:{1,2,5}:{(32,1),(43,1),(72,1),(84,1)}
        58:{3,5,6}:{(33,1),(34,1),(73,1),(85,1),(86,1)}
        59:{1,4,6}:{(34,1),(35,1),(82,1),(85,1)}
        60:{2,4,6}:{(34,1),(36,1),(38,1),(86,1)}
        61:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(39,1),(76,1),(83,1),(87,1),(88,1),(91,1),(129,1),(134,1),(139,1),(142,1),(144,1),(168,1),(171,1),(172,1),(179,1),(180,1),(198,1),(207,1)}
        62:{3,5}:{(37,1),(77,1),(89,1)}
        63:{1,2,6}:{(38,1),(39,1),(90,1)}
        64:{1,3,5,7}:{(39,1),(40,1),(41,1),(88,1),(90,1),(91,1),(142,1),(182,1),(196,1),(207,1)}
        65:{1,4}:{(40,1),(89,1)}
        66:{1,3,4,6}:{(42,1),(82,1),(93,1),(94,1),(135,1),(141,1),(177,1),(183,1),(201,1)}
        67:{1,2,4,7}:{(42,1),(43,1),(83,1),(94,1),(95,1),(139,1)}
        68:{2,3}:{(43,1)}
        69:{1,4,5,7}:{(44,1),(46,1),(55,1),(96,1),(101,1),(146,1)}
        70:{3,6,7}:{(44,1),(96,1),(98,1)}
        71:{1,3,7}:{(45,1),(48,1),(99,1),(104,1)}
        72:{1,2,6}:{(45,1),(57,1),(99,1),(100,1)}
        73:{3,5,7}:{(46,1),(47,1),(58,1),(101,1),(102,1)}
        74:{1,4,6,7}:{(47,1),(48,1),(51,1),(59,1),(97,1),(101,1),(146,1)}
        75:{2,4,6,7}:{(47,1),(49,1),(52,1),(60,1),(98,1),(102,1),(147,1)}
        76:{1,2,4,7}:{(48,1),(49,1),(50,1),(53,1),(99,1),(104,1),(107,1),(150,1)}
        77:{3,6}:{(50,1),(62,1),(104,1)}
        78:{1,2,6,7}:{(51,1),(52,1),(53,1),(63,1),(106,1),(184,1),(188,1)}
        79:{1,3,5,7}:{(53,1),(54,1),(104,1),(106,1),(107,1),(152,1),(154,1),(155,1)}
        80:{1,4,6}:{(54,1),(65,1),(105,1),(107,1),(108,1),(161,1)}
        81:{3,5,6}:{(55,1),(96,1),(109,1),(111,1)}
        82:{1,3,6}:{(56,1),(59,1),(112,1),(116,1),(209,1)}
        83:{1,2,5,7}:{(56,1),(57,1),(67,1),(99,1),(112,1),(113,1),(121,1)}
        84:{2,3,5}:{(57,1),(62,1),(68,1),(100,1),(114,1),(151,1)}
        85:{1,5,6}:{(58,1),(59,1),(101,1)}
        86:{2,5,6}:{(58,1),(60,1),(102,1)}
        87:{1,2,4,6}:{(59,1),(60,1),(61,1),(63,1),(112,1),(115,1),(116,1),(118,1),(156,1),(160,1),(161,1),(188,1),(205,1),(209,1)}
        88:{3,5,7}:{(61,1),(62,1),(104,1),(116,1),(117,1),(162,1),(165,1),(185,1)}
        89:{3,4}:{(62,1),(65,1),(114,1)}
        90:{1,3,6}:{(63,1),(64,1),(116,1),(118,1),(209,1)}
        91:{1,4,7}:{(64,1),(65,1),(117,1),(118,1),(195,1)}
        92:{3,4,5}:{(109,1),(119,1),(120,1),(165,1)}
        93:{1,3,5}:{(66,1),(119,1),(121,1),(162,1),(165,1),(206,1)}
        94:{1,2,4,6}:{(66,1),(67,1),(112,1),(121,1),(122,1),(160,1),(166,1)}
        95:{2,3,7}:{(67,1),(68,1),(122,1),(185,1)}
        96:{3,5,7}:{(69,1),(70,1),(81,1),(123,1),(125,1)}
        97:{1,3,6,7}:{(70,1),(71,1),(74,1),(82,1),(124,1),(126,1),(130,1)}
        98:{2,6,7}:{(70,1),(125,1)}
        99:{1,2,7}:{(71,1),(72,1),(127,1)}
       100:{2,3,6}:{(72,1),(77,1),(84,1),(127,1),(128,1)}
       101:{1,5,7}:{(73,1),(74,1),(85,1)}
       102:{2,5,7}:{(73,1),(75,1),(86,1)}
       103:{1,2,4,6,7}:{(74,1),(75,1),(76,1),(78,1),(87,1),(126,1),(129,1),(130,1),(133,1),(168,1),(170,1),(172,1)}
       104:{3,7}:{(76,1),(77,1)}
       105:{3,4,6}:{(77,1),(80,1),(89,1),(128,1),(131,1),(132,1),(174,1)}
       106:{1,3,6,7}:{(78,1),(79,1),(90,1),(130,1),(133,1),(174,1),(196,1)}
       107:{1,4,7}:{(79,1),(80,1),(131,1),(172,1)}
       108:{1,4,5}:{(80,1),(132,1),(142,1),(180,1)}
       109:{3,4,6}:{(81,1),(92,1),(123,1),(135,1),(136,1),(177,1)}
       110:{1,3,5,6}:{(81,1),(82,1),(85,1),(93,1),(124,1),(135,1),(137,1),(140,1),(177,1)}
       111:{2,5,6}:{(81,1),(125,1),(136,1)}
       112:{1,2,6}:{(82,1),(83,1),(138,1)}
       113:{2,3,5,7}:{(83,1),(84,1),(88,1),(95,1),(127,1),(138,1),(139,1),(145,1),(171,1),(179,1)}
       114:{2,4}:{(84,1),(89,1)}
       115:{1,2,5,6}:{(85,1),(86,1),(87,1),(129,1),(140,1),(142,1),(175,1),(179,1),(199,1)}
       116:{3,6}:{(87,1),(88,1)}
       117:{3,4,7}:{(88,1),(89,1),(91,1),(139,1),(141,1),(172,1),(183,1)}
       118:{1,4,6}:{(90,1),(91,1),(141,1),(142,1)}
       119:{1,4,5}:{(92,1),(93,1),(135,1),(180,1)}
       120:{2,4,5}:{(92,1),(136,1),(143,1)}
       121:{1,2,5}:{(93,1),(94,1),(145,1),(179,1)}
       122:{2,3,6}:{(94,1),(95,1),(145,1),(177,1)}
       123:{3,4,7}:{(96,1),(109,1),(146,1),(147,1),(185,1)}
       124:{1,3,5,7}:{(96,1),(97,1),(101,1),(110,1),(146,1),(148,1),(152,1),(185,1)}
       125:{2,5,7}:{(96,1),(98,1),(111,1),(147,1)}
       126:{1,2,6,7}:{(97,1),(98,1),(99,1),(112,1),(148,1),(149,1),(209,1)}
       127:{2,3,7}:{(99,1),(100,1),(104,1),(150,1)}
       128:{2,4,6}:{(100,1),(105,1),(114,1),(150,1),(151,1),(188,1)}
       129:{1,2,5,7}:{(101,1),(102,1),(103,1),(115,1),(152,1),(155,1),(187,1)}
       130:{3,6,7}:{(103,1),(104,1),(116,1),(152,1),(185,1)}
       131:{3,4,7}:{(104,1),(105,1),(107,1),(150,1),(154,1)}
       132:{3,5}:{(105,1),(108,1),(151,1)}
       133:{1,4,6,7}:{(106,1),(107,1),(118,1),(153,1),(155,1),(156,1),(203,1),(209,1)}
       134:{1,4,5,7}:{(107,1),(108,1),(154,1),(155,1),(156,1),(189,1)}
       135:{1,4,6}:{(109,1),(110,1),(119,1),(146,1),(161,1)}
       136:{2,4,6}:{(109,1),(111,1),(120,1),(147,1),(157,1)}
       137:{1,2,5,6}:{(110,1),(111,1),(112,1),(121,1),(148,1),(158,1),(159,1),(206,1),(209,1)}
       138:{2,3,6}:{(112,1),(113,1),(116,1),(160,1),(188,1)}
       139:{2,4,7}:{(113,1),(114,1),(117,1),(160,1),(166,1)}
       140:{3,5,6}:{(115,1),(116,1),(152,1),(161,1),(162,1)}
       141:{3,4,6}:{(116,1),(117,1),(118,1),(160,1),(161,1),(162,1)}
       142:{1,5}:{(118,1),(162,1)}
       143:{2,3,5}:{(120,1),(157,1),(163,1),(164,1),(165,1)}
       144:{1,2,4,5}:{(119,1),(120,1),(121,1),(158,1),(164,1),(165,1),(166,1),(193,1),(195,1),(206,1)}
       145:{2,3,5}:{(121,1),(122,1),(165,1),(166,1)}
       146:{1,4,7}:{(123,1),(124,1),(135,1),(172,1)}
       147:{2,4,7}:{(123,1),(125,1),(136,1),(167,1)}
       148:{1,2,5,7}:{(124,1),(125,1),(126,1),(137,1),(168,1),(169,1),(207,1)}
       149:{2,3,6,7}:{(126,1),(127,1),(130,1),(138,1),(169,1),(170,1),(208,1)}
       150:{2,4,7}:{(127,1),(128,1),(131,1),(171,1)}
       151:{2,5}:{(128,1),(132,1)}
       152:{3,5,7}:{(129,1),(130,1),(140,1),(172,1)}
       153:{3,4,6,7}:{(130,1),(131,1),(133,1),(141,1),(170,1),(172,1),(173,1),(174,1),(197,1),(200,1),(208,1)}
       154:{3,5,7}:{(131,1),(132,1),(134,1),(171,1),(174,1)}
       155:{1,5,7}:{(133,1),(142,1),(173,1),(175,1)}
       156:{1,4,6}:{(134,1),(174,1),(175,1),(200,1)}
       157:{2,3,6}:{(136,1),(143,1),(167,1),(176,1),(177,1)}
       158:{1,2,4,6}:{(135,1),(136,1),(137,1),(144,1),(168,1),(176,1),(177,1),(178,1),(201,1)}
       159:{2,3,5,6}:{(137,1),(138,1),(140,1),(145,1),(169,1),(177,1),(178,1),(179,1),(199,1),(202,1),(208,1)}
       160:{2,4,6}:{(138,1),(139,1),(141,1),(179,1)}
       161:{4,6}:{(140,1),(172,1),(180,1)}
       162:{3,5}:{(141,1),(142,1),(179,1),(180,1)}
       163:{2,3,4}:{(143,1),(181,1),(183,1)}
       164:{1,2,5}:{(143,1),(176,1),(181,1),(182,1)}
       165:{3,5}:{(144,1),(177,1),(183,1)}
       166:{2,4}:{(145,1),(183,1)}
       167:{2,3,7}:{(147,1),(157,1),(184,1),(185,1)}
       168:{1,2,4,7}:{(146,1),(147,1),(148,1),(158,1),(184,1),(185,1),(186,1),(203,1)}
       169:{2,3,5,7}:{(148,1),(149,1),(152,1),(159,1),(185,1),(186,1),(187,1),(204,1)}
       170:{2,4,6,7}:{(149,1),(150,1),(153,1),(160,1),(186,1),(187,1),(188,1),(205,1)}
       171:{2,5,7}:{(150,1),(151,1),(154,1),(188,1)}
       172:{4,7}:{(152,1),(161,1)}
       173:{3,5,7}:{(153,1),(155,1),(162,1),(187,1),(189,1),(190,1)}
       174:{3,6}:{(154,1),(156,1),(188,1)}
       175:{1,5,6}:{(155,1),(156,1),(190,1),(209,1)}
       176:{1,2,6}:{(157,1),(164,1),(184,1),(191,1)}
       177:{3,6}:{(158,1),(165,1),(185,1)}
       178:{2,4,6}:{(159,1),(161,1),(166,1),(186,1),(192,1),(193,1)}
       179:{2,5}:{(160,1),(162,1)}
       180:{4,5}:{(161,1),(162,1)}
       181:{1,2,4}:{(163,1),(164,1),(194,1),(195,1)}
       182:{1,3,5}:{(164,1),(165,1),(191,1),(194,1),(195,1),(206,1)}
       183:{3,4}:{(165,1),(166,1),(195,1)}
       184:{1,2,7}:{(167,1),(176,1),(196,1)}
       185:{3,7}:{(168,1),(177,1)}
       186:{2,4,7}:{(169,1),(172,1),(178,1),(197,1)}
       187:{2,5,7}:{(170,1),(173,1),(179,1),(199,1)}
       188:{2,6}:{(171,1),(174,1)}
       189:{4,5,7}:{(172,1),(173,1),(180,1),(200,1)}
       190:{3,5,6}:{(173,1),(174,1),(175,1),(199,1),(200,1),(208,1)}
       191:{1,3,6}:{(176,1),(177,1),(182,1),(196,1),(201,1)}
       192:{3,4,6}:{(177,1),(178,1),(183,1),(197,1),(201,1),(202,1),(208,1)}
       193:{2,4,5}:{(178,1),(179,1),(180,1),(202,1)}
       194:{1,3}:{(181,1)}
       195:{1,4}:{(182,1),(183,1)}
       196:{1,3,7}:{(184,1),(185,1),(191,1),(203,1)}
       197:{3,4,7}:{(185,1),(186,1),(192,1),(203,1),(204,1)}
       198:{2,4,5,7}:{(186,1),(187,1),(189,1),(193,1),(204,1),(205,1)}
       199:{2,5,6}:{(187,1),(188,1),(190,1),(205,1)}
       200:{4,6}:{(189,1),(190,1)}
       201:{1,4,6}:{(191,1),(192,1),(195,1),(203,1),(206,1),(209,1)}
       202:{3,5}:{(192,1),(193,1),(206,1)}
       203:{1,4,7}:{(196,1),(197,1),(201,1),(207,1)}
       204:{3,5,7}:{(197,1),(198,1),(202,1),(207,1),(208,1)}
       205:{2,4,6}:{(198,1),(199,1),(200,1),(208,1)}
       206:{1,5}:{(201,1),(202,1)}
       207:{1,5,7}:{(203,1),(204,1),(206,1),(209,1)}
       208:{3,6}:{(204,1),(205,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

 788 :   0:{2,5,6,7}:{(2,1),(4,1),(80,1),(87,1)}
         1:{2,3,4,7}:{(6,1),(7,1),(8,1),(91,1),(93,1),(147,1),(154,1),(187,1)}
         2:{3,5,6,7}:{(0,1),(9,1),(10,1),(16,1),(50,1),(54,1)}
         3:{3,4,5,7}:{(12,1),(13,1),(14,1),(20,1),(54,1),(60,1),(61,1),(73,1),(108,1),(166,1),(168,1)}
         4:{2,4,6,7}:{(0,1),(10,1),(15,1),(16,1)}
         5:{2,4,5,6}:{(11,1),(15,1),(17,1),(58,1),(66,1)}
         6:{2,3,5,7}:{(1,1),(14,1),(18,1),(19,1),(21,1),(60,1),(131,1),(158,1),(200,1)}
         7:{2,3,4,6}:{(1,1),(18,1),(21,1),(22,1),(66,1),(120,1),(126,1),(130,1),(173,1)}
         8:{1,2,4,7}:{(1,1),(19,1),(22,1),(23,1),(69,1),(175,1)}
         9:{1,5,6,7}:{(2,1),(25,1),(35,1),(86,1)}
        10:{4,6,7}:{(2,1),(28,1)}
        11:{4,5,6}:{(28,1),(30,1),(144,1)}
        12:{3,4,6}:{(3,1),(30,1),(31,1),(32,1),(90,1),(144,1)}
        13:{1,4,5,7}:{(3,1),(27,1),(31,1),(42,1),(86,1),(92,1),(103,1),(134,1)}
        14:{2,4,5,7}:{(3,1),(6,1),(32,1),(43,1),(87,1),(93,1),(104,1),(135,1)}
        15:{2,4,5,7}:{(4,1),(5,1),(28,1),(34,1),(87,1),(93,1)}
        16:{3,6,7}:{(4,1),(34,1),(35,1)}
        17:{3,5,6}:{(5,1),(34,1),(37,1),(38,1)}
        18:{2,3,6}:{(6,1),(32,1),(40,1),(90,1),(206,1)}
        19:{1,2,5,7}:{(6,1),(8,1),(40,1),(41,1),(44,1),(155,1),(178,1)}
        20:{3,4,5}:{(37,1),(42,1),(43,1),(101,1)}
        21:{2,3,5}:{(7,1),(43,1),(44,1),(101,1),(145,1),(190,1)}
        22:{1,2,4,6}:{(7,1),(8,1),(40,1),(44,1),(45,1),(99,1),(102,1)}
        23:{1,3,7}:{(8,1),(45,1),(147,1),(191,1)}
        24:{1,3,4,7}:{(27,1),(46,1),(47,1),(48,1),(91,1),(134,1),(179,1),(202,1)}
        25:{1,4,6,7}:{(9,1),(10,1),(49,1),(50,1)}
        26:{1,4,5,6}:{(11,1),(49,1),(51,1),(57,1),(112,1)}
        27:{1,3,5,7}:{(13,1),(24,1),(52,1),(53,1),(60,1),(70,1),(74,1),(121,1),(207,1)}
        28:{4,5,7}:{(10,1),(11,1),(54,1),(166,1)}
        29:{3,4,6,7}:{(10,1),(12,1),(16,1),(50,1),(54,1),(55,1),(56,1),(61,1),(108,1),(118,1),(166,1)}
        30:{3,5,6}:{(11,1),(12,1),(54,1),(57,1),(58,1)}
        31:{1,4,6}:{(12,1),(13,1),(52,1),(57,1)}
        32:{2,4,6}:{(12,1),(14,1),(18,1),(58,1)}
        33:{1,2,4,5,7}:{(13,1),(14,1),(19,1),(53,1),(59,1),(60,1),(69,1),(71,1),(116,1),(117,1),(122,1),(128,1),(132,1),(159,1),(165,1),(166,1),(168,1),(171,1),(195,1),(200,1),(207,1)}
        34:{3,5,7}:{(15,1),(16,1),(17,1),(61,1),(62,1)}
        35:{1,6,7}:{(16,1),(62,1)}
        36:{2,3,6,7}:{(16,1),(18,1),(56,1),(63,1),(64,1),(118,1),(158,1)}
        37:{3,4,6}:{(17,1),(20,1),(61,1),(65,1),(66,1),(126,1)}
        38:{1,5,6}:{(17,1),(62,1),(65,1)}
        39:{2,3,5,6}:{(17,1),(18,1),(21,1),(58,1),(63,1),(66,1),(67,1),(119,1),(126,1)}
        40:{1,2,6}:{(18,1),(19,1),(68,1)}
        41:{1,3,5,7}:{(19,1),(23,1),(60,1),(68,1),(69,1),(72,1),(128,1),(176,1),(193,1),(207,1)}
        42:{1,4,5}:{(20,1),(65,1),(70,1)}
        43:{2,4,5}:{(20,1),(21,1),(66,1),(168,1)}
        44:{1,2,5}:{(21,1),(22,1),(72,1),(128,1)}
        45:{1,3,6}:{(22,1),(23,1),(72,1),(126,1)}
        46:{1,3,4,6}:{(24,1),(52,1),(74,1),(75,1),(112,1),(120,1),(163,1),(177,1),(197,1)}
        47:{1,2,4,7}:{(24,1),(53,1),(75,1),(76,1),(77,1),(116,1)}
        48:{1,3,4}:{(70,1),(77,1),(130,1)}
        49:{1,4,5,7}:{(25,1),(26,1),(28,1),(78,1),(86,1),(134,1)}
        50:{3,6,7}:{(25,1),(78,1),(80,1)}
        51:{3,5,6}:{(26,1),(78,1),(81,1),(83,1)}
        52:{1,3,6}:{(27,1),(31,1),(84,1),(90,1),(209,1)}
        53:{1,2,5,7}:{(27,1),(47,1),(84,1),(85,1),(100,1),(105,1),(146,1)}
        54:{3,5,7}:{(28,1),(29,1),(30,1),(86,1),(87,1)}
        55:{1,4,6,7}:{(29,1),(31,1),(35,1),(79,1),(86,1),(92,1),(134,1)}
        56:{2,4,6,7}:{(29,1),(32,1),(36,1),(80,1),(87,1),(93,1),(135,1)}
        57:{1,5,6}:{(30,1),(31,1),(86,1)}
        58:{2,5,6}:{(30,1),(32,1),(87,1)}
        59:{1,2,4,6}:{(31,1),(32,1),(33,1),(40,1),(84,1),(89,1),(90,1),(99,1),(141,1),(144,1),(189,1),(204,1),(206,1),(209,1)}
        60:{3,5,7}:{(33,1),(90,1),(91,1),(101,1),(145,1),(147,1),(156,1),(179,1)}
        61:{3,4,7}:{(34,1),(37,1),(92,1),(93,1),(147,1)}
        62:{1,5,7}:{(34,1),(35,1),(38,1),(92,1)}
        63:{2,3,5,7}:{(34,1),(36,1),(39,1),(87,1),(93,1),(94,1),(142,1),(147,1)}
        64:{1,2,6,7}:{(35,1),(36,1),(40,1),(94,1),(95,1),(178,1),(206,1)}
        65:{1,4,6}:{(37,1),(38,1),(42,1),(92,1),(96,1)}
        66:{2,4,6}:{(37,1),(39,1),(43,1),(93,1),(144,1)}
        67:{1,2,5,6}:{(38,1),(39,1),(40,1),(44,1),(94,1),(97,1),(98,1),(190,1),(206,1)}
        68:{1,3,6}:{(40,1),(41,1),(90,1),(99,1),(209,1)}
        69:{1,4,7}:{(41,1),(91,1),(99,1),(102,1),(192,1)}
        70:{1,3,5}:{(42,1),(48,1),(96,1),(100,1),(101,1)}
        71:{1,2,4,5}:{(42,1),(43,1),(44,1),(97,1),(100,1),(101,1),(102,1),(152,1),(153,1),(190,1)}
        72:{1,3,5}:{(44,1),(45,1),(101,1),(102,1)}
        73:{3,4,5}:{(81,1),(103,1),(104,1),(156,1)}
        74:{1,3,5}:{(46,1),(103,1),(105,1),(145,1),(156,1),(205,1)}
        75:{1,2,4,6}:{(46,1),(47,1),(84,1),(105,1),(106,1),(141,1),(157,1)}
        76:{2,3,7}:{(47,1),(106,1),(107,1),(179,1)}
        77:{1,2,4}:{(48,1),(100,1),(107,1),(153,1)}
        78:{3,5,7}:{(49,1),(50,1),(51,1),(108,1),(110,1)}
        79:{1,3,6,7}:{(50,1),(52,1),(55,1),(109,1),(111,1),(118,1),(121,1)}
        80:{2,6,7}:{(50,1),(110,1)}
        81:{3,4,6}:{(51,1),(73,1),(108,1),(112,1),(113,1),(163,1)}
        82:{1,3,5,6}:{(51,1),(52,1),(57,1),(74,1),(109,1),(112,1),(114,1),(119,1),(163,1)}
        83:{2,5,6}:{(51,1),(110,1),(113,1)}
        84:{1,2,6}:{(52,1),(53,1),(115,1)}
        85:{2,3,5,7}:{(53,1),(60,1),(76,1),(115,1),(116,1),(129,1),(133,1),(165,1),(169,1),(200,1)}
        86:{1,5,7}:{(54,1),(55,1),(57,1)}
        87:{2,5,7}:{(54,1),(56,1),(58,1)}
        88:{1,2,4,6,7}:{(55,1),(56,1),(59,1),(64,1),(111,1),(117,1),(118,1),(122,1),(124,1),(159,1),(161,1),(166,1)}
        89:{1,2,5,6}:{(57,1),(58,1),(59,1),(117,1),(119,1),(128,1),(165,1),(172,1),(196,1)}
        90:{3,6}:{(59,1),(60,1)}
        91:{3,4,7}:{(60,1),(69,1),(116,1),(120,1),(130,1),(166,1),(177,1)}
        92:{1,4,7}:{(61,1),(62,1),(65,1),(121,1)}
        93:{2,4,7}:{(61,1),(63,1),(66,1),(166,1)}
        94:{1,2,5,7}:{(62,1),(63,1),(64,1),(67,1),(122,1),(123,1),(200,1)}
        95:{1,3,6,7}:{(64,1),(68,1),(118,1),(123,1),(124,1),(193,1),(201,1)}
        96:{1,3,6}:{(65,1),(70,1),(121,1),(125,1),(126,1)}
        97:{1,2,4,6}:{(65,1),(66,1),(67,1),(71,1),(122,1),(125,1),(126,1),(127,1),(173,1)}
        98:{1,3,5,6}:{(67,1),(68,1),(72,1),(119,1),(123,1),(126,1),(127,1),(128,1),(172,1),(174,1),(201,1)}
        99:{1,4,6}:{(68,1),(69,1),(120,1),(128,1)}
       100:{1,2,5}:{(70,1),(77,1),(125,1),(129,1)}
       101:{3,5}:{(71,1),(126,1),(130,1)}
       102:{1,4}:{(72,1),(130,1)}
       103:{1,4,5}:{(73,1),(74,1),(112,1),(168,1)}
       104:{2,4,5}:{(73,1),(113,1),(131,1)}
       105:{1,2,5}:{(74,1),(75,1),(133,1),(165,1)}
       106:{2,3,6}:{(75,1),(76,1),(133,1),(163,1)}
       107:{2,3}:{(77,1)}
       108:{3,4,7}:{(78,1),(81,1),(134,1),(135,1),(179,1)}
       109:{1,3,5,7}:{(78,1),(79,1),(82,1),(86,1),(134,1),(136,1),(142,1),(179,1)}
       110:{2,5,7}:{(78,1),(80,1),(83,1),(135,1)}
       111:{1,2,6,7}:{(79,1),(80,1),(84,1),(136,1),(137,1),(146,1),(209,1)}
       112:{1,4,6}:{(81,1),(82,1),(103,1),(134,1),(144,1)}
       113:{2,4,6}:{(81,1),(83,1),(104,1),(135,1),(138,1)}
       114:{1,2,5,6}:{(82,1),(83,1),(84,1),(105,1),(136,1),(139,1),(140,1),(205,1),(209,1)}
       115:{2,3,6}:{(84,1),(85,1),(90,1),(141,1),(206,1)}
       116:{2,4,7}:{(85,1),(91,1),(141,1),(153,1),(157,1)}
       117:{1,2,5,7}:{(86,1),(87,1),(88,1),(89,1),(142,1),(149,1),(181,1)}
       118:{3,6,7}:{(88,1),(90,1),(142,1),(147,1),(179,1)}
       119:{3,5,6}:{(89,1),(90,1),(142,1),(144,1),(145,1)}
       120:{3,4,6}:{(90,1),(91,1),(99,1),(141,1),(144,1),(145,1)}
       121:{1,3,7}:{(92,1),(96,1),(146,1),(147,1)}
       122:{1,2,4,7}:{(92,1),(93,1),(94,1),(97,1),(146,1),(147,1),(148,1),(187,1)}
       123:{1,3,5,7}:{(94,1),(95,1),(98,1),(142,1),(147,1),(148,1),(149,1),(188,1)}
       124:{1,4,6,7}:{(95,1),(99,1),(143,1),(148,1),(149,1),(189,1),(202,1),(209,1)}
       125:{1,2,6}:{(96,1),(100,1),(146,1),(150,1)}
       126:{3,6}:{(97,1),(101,1),(147,1)}
       127:{1,4,6}:{(98,1),(102,1),(144,1),(148,1),(151,1),(152,1)}
       128:{1,5}:{(99,1),(145,1)}
       129:{2,3,5}:{(100,1),(101,1),(107,1),(150,1),(153,1),(190,1)}
       130:{3,4}:{(101,1),(102,1),(153,1)}
       131:{2,3,5}:{(104,1),(138,1),(154,1),(155,1),(156,1)}
       132:{1,2,4,5}:{(103,1),(104,1),(105,1),(139,1),(155,1),(156,1),(157,1),(184,1),(192,1),(205,1)}
       133:{2,3,5}:{(105,1),(106,1),(156,1),(157,1)}
       134:{1,4,7}:{(108,1),(109,1),(112,1),(166,1)}
       135:{2,4,7}:{(108,1),(110,1),(113,1),(158,1)}
       136:{1,2,5,7}:{(109,1),(110,1),(111,1),(114,1),(159,1),(160,1),(207,1)}
       137:{2,3,6,7}:{(111,1),(115,1),(118,1),(160,1),(161,1),(169,1),(208,1)}
       138:{2,3,6}:{(113,1),(131,1),(158,1),(162,1),(163,1)}
       139:{1,2,4,6}:{(112,1),(113,1),(114,1),(132,1),(159,1),(162,1),(163,1),(164,1),(197,1)}
       140:{2,3,5,6}:{(114,1),(115,1),(119,1),(133,1),(160,1),(163,1),(164,1),(165,1),(196,1),(198,1),(208,1)}
       141:{2,4,6}:{(115,1),(116,1),(120,1),(165,1)}
       142:{3,5,7}:{(117,1),(118,1),(119,1),(166,1)}
       143:{3,4,6,7}:{(118,1),(120,1),(124,1),(161,1),(166,1),(167,1),(170,1),(194,1),(199,1),(201,1),(208,1)}
       144:{4,6}:{(119,1),(166,1),(168,1)}
       145:{3,5}:{(120,1),(128,1),(165,1),(168,1)}
       146:{1,2,7}:{(121,1),(125,1),(169,1)}
       147:{3,7}:{(122,1),(126,1)}
       148:{1,4,7}:{(123,1),(127,1),(166,1),(170,1)}
       149:{1,5,7}:{(124,1),(128,1),(167,1),(172,1)}
       150:{2,3,6}:{(125,1),(126,1),(129,1),(169,1),(173,1)}
       151:{3,4,6}:{(126,1),(127,1),(130,1),(170,1),(173,1),(174,1),(201,1)}
       152:{1,4,5}:{(127,1),(128,1),(168,1),(174,1)}
       153:{2,4}:{(129,1),(130,1)}
       154:{2,3,4}:{(131,1),(175,1),(177,1)}
       155:{1,2,5}:{(131,1),(162,1),(175,1),(176,1)}
       156:{3,5}:{(132,1),(163,1),(177,1)}
       157:{2,4}:{(133,1),(177,1)}
       158:{2,3,7}:{(135,1),(138,1),(178,1),(179,1)}
       159:{1,2,4,7}:{(134,1),(135,1),(136,1),(139,1),(178,1),(179,1),(180,1),(202,1)}
       160:{2,3,5,7}:{(136,1),(137,1),(140,1),(142,1),(179,1),(180,1),(181,1),(203,1)}
       161:{2,4,6,7}:{(137,1),(141,1),(143,1),(180,1),(181,1),(187,1),(204,1),(206,1)}
       162:{1,2,6}:{(138,1),(155,1),(178,1),(182,1)}
       163:{3,6}:{(139,1),(156,1),(179,1)}
       164:{2,4,6}:{(140,1),(144,1),(157,1),(180,1),(183,1),(184,1)}
       165:{2,5}:{(141,1),(145,1)}
       166:{4,7}:{(142,1),(144,1)}
       167:{3,5,7}:{(143,1),(145,1),(149,1),(181,1),(185,1),(186,1)}
       168:{4,5}:{(144,1),(145,1)}
       169:{2,3,7}:{(146,1),(147,1),(150,1),(187,1)}
       170:{3,4,7}:{(147,1),(148,1),(151,1),(187,1),(188,1)}
       171:{1,4,5,7}:{(148,1),(149,1),(152,1),(185,1),(188,1),(189,1)}
       172:{1,5,6}:{(149,1),(186,1),(189,1),(209,1)}
       173:{2,4,6}:{(150,1),(151,1),(153,1),(187,1),(190,1),(206,1)}
       174:{3,5}:{(151,1),(152,1),(190,1)}
       175:{1,2,4}:{(154,1),(155,1),(191,1),(192,1)}
       176:{1,3,5}:{(155,1),(156,1),(182,1),(191,1),(192,1),(205,1)}
       177:{3,4}:{(156,1),(157,1),(192,1)}
       178:{1,2,7}:{(158,1),(162,1),(193,1)}
       179:{3,7}:{(159,1),(163,1)}
       180:{2,4,7}:{(160,1),(164,1),(166,1),(194,1)}
       181:{2,5,7}:{(161,1),(165,1),(167,1),(196,1)}
       182:{1,3,6}:{(162,1),(163,1),(176,1),(193,1),(197,1)}
       183:{3,4,6}:{(163,1),(164,1),(177,1),(194,1),(197,1),(198,1),(208,1)}
       184:{2,4,5}:{(164,1),(165,1),(168,1),(198,1)}
       185:{4,5,7}:{(166,1),(167,1),(168,1),(199,1)}
       186:{3,5,6}:{(167,1),(172,1),(196,1),(199,1),(201,1),(208,1)}
       187:{2,4,7}:{(169,1),(170,1),(173,1),(200,1)}
       188:{3,5,7}:{(170,1),(171,1),(174,1),(200,1),(201,1)}
       189:{1,4,6}:{(171,1),(172,1),(199,1),(201,1)}
       190:{2,5}:{(173,1),(174,1)}
       191:{1,3}:{(175,1)}
       192:{1,4}:{(176,1),(177,1)}
       193:{1,3,7}:{(178,1),(179,1),(182,1),(202,1)}
       194:{3,4,7}:{(179,1),(180,1),(183,1),(202,1),(203,1)}
       195:{2,4,5,7}:{(180,1),(181,1),(184,1),(185,1),(203,1),(204,1)}
       196:{2,5,6}:{(181,1),(186,1),(204,1),(206,1)}
       197:{1,4,6}:{(182,1),(183,1),(192,1),(202,1),(205,1),(209,1)}
       198:{3,5}:{(183,1),(184,1),(205,1)}
       199:{4,6}:{(185,1),(186,1)}
       200:{2,5,7}:{(187,1),(188,1),(190,1),(206,1)}
       201:{3,6}:{(188,1),(189,1),(206,1)}
       202:{1,4,7}:{(193,1),(194,1),(197,1),(207,1)}
       203:{3,5,7}:{(194,1),(195,1),(198,1),(207,1),(208,1)}
       204:{2,4,6}:{(195,1),(196,1),(199,1),(208,1)}
       205:{1,5}:{(197,1),(198,1)}
       206:{2,6}:{(200,1),(201,1)}
       207:{1,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       208:{3,6}:{(203,1),(204,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

 789 :   0:{2,3,4,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1),(52,1),(56,1),(84,1),(90,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(69,1),(100,1),(104,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(37,1),(72,1),(101,1)}
         3:{1,3,6,7}:{(1,1),(8,1),(29,1),(113,1),(117,1)}
         4:{1,2,5,7}:{(1,1),(2,1),(8,1),(9,1),(53,1),(114,1)}
         5:{2,3,5,6}:{(2,1),(9,1),(11,1),(29,1),(32,1)}
         6:{2,4,5,7}:{(2,1),(11,1),(12,1),(84,1),(87,1)}
         7:{2,3,5,6,7}:{(5,1),(13,1),(14,1),(36,1),(37,1),(68,1),(120,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(18,1),(125,1)}
         9:{1,2,5,6}:{(4,1),(5,1),(15,1),(17,1),(47,1),(72,1)}
        10:{1,2,4,5,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(21,1),(39,1),(42,1),(46,1),(72,1),(100,1),(102,1)}
        11:{2,4,6}:{(5,1),(6,1),(20,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(66,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(9,1),(22,1),(23,1),(53,1),(81,1),(85,1),(108,1)}
        14:{2,4,6,7}:{(7,1),(11,1),(24,1),(25,1),(84,1),(129,1)}
        15:{1,3,5,6}:{(8,1),(9,1),(26,1),(29,1),(54,1)}
        16:{1,4,7}:{(8,1),(26,1),(27,1),(132,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(11,1),(26,1),(29,1),(33,1),(56,1),(61,1)}
        18:{3,5,7}:{(10,1),(27,1),(29,1),(54,1),(113,1),(115,1)}
        19:{2,4,5,6}:{(11,1),(24,1),(32,1)}
        20:{3,4,6}:{(11,1),(12,1),(29,1),(32,1),(33,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(33,1),(53,1),(83,1),(86,1)}
        22:{1,3,5,6,7}:{(13,1),(15,1),(34,1),(36,1),(63,1),(67,1),(93,1)}
        23:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(38,1),(65,1),(69,1),(100,1),(119,1)}
        24:{2,4,5,7}:{(14,1),(19,1),(37,1),(135,1)}
        25:{3,4,6,7}:{(14,1),(20,1),(36,1),(37,1),(38,1),(66,1),(134,1)}
        26:{1,4,6}:{(15,1),(16,1),(39,1),(40,1)}
        27:{3,4,7}:{(16,1),(18,1),(40,1),(42,1),(126,1)}
        28:{1,2,4,5,6}:{(17,1),(19,1),(35,1),(39,1),(43,1),(47,1),(62,1),(72,1),(75,1),(76,1),(77,1),(94,1),(102,1),(119,1),(135,1),(139,1)}
        29:{3,6}:{(17,1),(18,1)}
        30:{1,3,5,7}:{(18,1),(21,1),(41,1),(44,1),(46,1),(71,1)}
        31:{2,3,5,7}:{(18,1),(42,1),(45,1),(46,1),(72,1),(74,1),(103,1)}
        32:{3,5,6}:{(19,1),(20,1),(37,1),(47,1)}
        33:{1,4,6}:{(20,1),(21,1),(44,1),(47,1)}
        34:{1,4,6,7}:{(22,1),(26,1),(48,1),(49,1),(83,1),(106,1)}
        35:{1,2,4,5,7}:{(23,1),(24,1),(28,1),(48,1),(50,1),(53,1),(81,1),(83,1),(84,1),(85,1)}
        36:{3,6,7}:{(23,1),(29,1),(50,1),(113,1),(128,1)}
        37:{3,5,7}:{(24,1),(25,1),(32,1),(53,1),(138,1)}
        38:{1,4,6,7}:{(25,1),(33,1),(51,1),(53,1),(83,1),(137,1)}
        39:{1,4,5}:{(26,1),(54,1)}
        40:{3,4,6}:{(26,1),(27,1),(29,1),(54,1),(56,1)}
        41:{1,3,4,7}:{(27,1),(30,1),(55,1),(57,1),(83,1),(113,1)}
        42:{2,4,7}:{(27,1),(31,1),(56,1),(116,1)}
        43:{3,5,6}:{(28,1),(29,1),(50,1),(54,1),(58,1),(115,1),(128,1),(138,1)}
        44:{1,3,6}:{(29,1),(30,1),(33,1),(61,1)}
        45:{2,3,6}:{(29,1),(31,1),(56,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(57,1),(61,1),(88,1)}
        47:{1,5,6}:{(32,1),(33,1),(53,1)}
        48:{1,4,5,7}:{(34,1),(39,1),(62,1),(63,1)}
        49:{3,4,6,7}:{(34,1),(36,1),(40,1),(63,1),(65,1),(66,1),(92,1)}
        50:{3,5,7}:{(35,1),(36,1),(43,1),(66,1)}
        51:{1,3,6,7}:{(36,1),(38,1),(44,1),(67,1),(69,1),(133,1)}
        52:{2,3,6,7}:{(36,1),(45,1),(65,1),(68,1),(69,1),(118,1)}
        53:{1,5,7}:{(37,1),(38,1),(47,1),(139,1)}
        54:{3,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,6}:{(40,1),(41,1),(44,1),(71,1),(73,1),(75,1),(105,1),(126,1)}
        56:{2,4,6}:{(40,1),(42,1),(45,1),(72,1)}
        57:{1,2,4,7}:{(41,1),(42,1),(46,1),(73,1),(74,1)}
        58:{3,4,6}:{(43,1),(66,1),(70,1),(75,1),(76,1),(105,1),(126,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(47,1),(67,1),(71,1),(75,1),(77,1),(105,1),(125,1),(133,1),(139,1)}
        60:{2,3,5,6}:{(43,1),(45,1),(68,1),(72,1),(76,1),(77,1),(94,1),(101,1),(103,1),(105,1),(118,1)}
        61:{1,2,6}:{(44,1),(45,1),(46,1)}
        62:{1,4,5,6}:{(48,1),(78,1),(106,1)}
        63:{3,5,7}:{(48,1),(49,1),(54,1),(78,1),(81,1)}
        64:{1,3,4,6,7}:{(49,1),(51,1),(55,1),(80,1),(82,1),(83,1),(106,1),(113,1),(128,1),(131,1),(137,1)}
        65:{2,4,6,7}:{(49,1),(52,1),(56,1),(81,1),(84,1),(107,1)}
        66:{3,4,7}:{(50,1),(58,1),(83,1),(84,1),(113,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(59,1),(83,1),(85,1),(113,1)}
        68:{2,3,5,7}:{(50,1),(52,1),(60,1),(81,1),(84,1),(85,1),(113,1)}
        69:{1,2,6,7}:{(51,1),(52,1),(61,1),(85,1),(127,1)}
        70:{3,4,5}:{(54,1),(58,1),(86,1),(87,1),(115,1),(138,1)}
        71:{1,3,5}:{(54,1),(55,1),(86,1),(88,1),(115,1)}
        72:{2,5}:{(54,1),(56,1)}
        73:{1,2,4,6}:{(55,1),(56,1),(57,1),(61,1),(88,1),(89,1),(116,1)}
        74:{2,3,7}:{(57,1),(89,1),(113,1)}
        75:{1,4,6}:{(58,1),(59,1),(83,1),(86,1),(132,1)}
        76:{2,4,6}:{(58,1),(60,1),(84,1),(87,1),(116,1)}
        77:{1,2,5,6}:{(59,1),(60,1),(61,1),(85,1),(88,1),(91,1),(114,1),(127,1)}
        78:{3,5,6}:{(62,1),(63,1),(92,1),(94,1)}
        79:{3,4,5,7}:{(63,1),(66,1),(70,1),(92,1),(95,1),(96,1),(122,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(71,1),(93,1),(95,1),(97,1),(122,1),(139,1)}
        81:{2,5,7}:{(63,1),(65,1),(72,1),(94,1)}
        82:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(73,1),(97,1),(98,1),(100,1),(119,1),(123,1)}
        83:{1,4,7}:{(66,1),(67,1),(75,1)}
        84:{2,4,7}:{(66,1),(68,1),(76,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(77,1),(100,1)}
        86:{1,4,5}:{(70,1),(71,1),(75,1),(139,1)}
        87:{2,4,5}:{(70,1),(72,1),(76,1),(101,1)}
        88:{1,2,5}:{(71,1),(72,1),(73,1),(103,1)}
        89:{2,3,6}:{(73,1),(74,1),(103,1),(105,1)}
        90:{2,3,4,6}:{(76,1),(99,1),(101,1),(104,1),(105,1),(118,1),(126,1),(134,1)}
        91:{1,2,4,6}:{(75,1),(76,1),(77,1),(100,1),(102,1),(105,1)}
        92:{3,4,6}:{(78,1),(79,1),(106,1),(107,1),(128,1)}
        93:{1,3,5,6}:{(78,1),(80,1),(106,1),(108,1),(128,1)}
        94:{2,5,6}:{(78,1),(81,1),(107,1)}
        95:{1,4,5,7}:{(79,1),(80,1),(83,1),(86,1),(106,1)}
        96:{2,4,5,7}:{(79,1),(81,1),(84,1),(87,1),(107,1),(109,1)}
        97:{1,2,5,7}:{(80,1),(81,1),(82,1),(88,1),(108,1),(111,1)}
        98:{2,3,6,7}:{(82,1),(89,1),(111,1),(113,1),(128,1)}
        99:{2,3,4,7}:{(84,1),(90,1),(109,1),(112,1),(113,1),(131,1)}
       100:{1,2,4,7}:{(83,1),(84,1),(85,1),(91,1),(113,1)}
       101:{2,3,5}:{(87,1),(90,1),(114,1),(115,1),(138,1)}
       102:{1,2,4,5}:{(86,1),(87,1),(88,1),(91,1),(114,1),(115,1),(116,1),(132,1)}
       103:{2,3,5}:{(88,1),(89,1),(115,1),(116,1)}
       104:{1,2,4,6}:{(90,1),(112,1),(114,1),(117,1),(127,1),(132,1),(137,1)}
       105:{3,6}:{(91,1),(113,1),(115,1)}
       106:{1,4,6}:{(92,1),(93,1),(95,1)}
       107:{2,4,6}:{(92,1),(94,1),(96,1),(118,1)}
       108:{1,2,5,6}:{(93,1),(94,1),(97,1),(119,1),(120,1),(139,1)}
       109:{2,3,5,7}:{(96,1),(99,1),(101,1),(118,1),(121,1),(122,1)}
       110:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(100,1),(102,1),(119,1),(121,1),(122,1),(123,1),(135,1),(136,1),(139,1)}
       111:{2,3,5,7}:{(97,1),(98,1),(103,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,7}:{(99,1),(104,1),(121,1),(124,1),(136,1)}
       113:{3,7}:{(100,1),(105,1)}
       114:{1,2,5}:{(101,1),(104,1),(125,1),(139,1)}
       115:{3,5}:{(102,1),(105,1),(126,1)}
       116:{2,4}:{(103,1),(126,1)}
       117:{1,3,6}:{(104,1),(105,1),(124,1),(125,1)}
       118:{2,3,6}:{(107,1),(109,1),(127,1),(128,1)}
       119:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(127,1),(128,1),(129,1),(137,1)}
       120:{2,3,5,6}:{(108,1),(111,1),(128,1),(129,1),(138,1)}
       121:{1,2,5,7}:{(109,1),(112,1),(114,1),(127,1),(130,1)}
       122:{3,5,7}:{(110,1),(113,1),(115,1),(128,1),(131,1),(138,1)}
       123:{2,4,7}:{(111,1),(116,1),(129,1),(131,1)}
       124:{1,3,7}:{(112,1),(113,1),(117,1)}
       125:{1,3,5}:{(114,1),(115,1),(117,1),(132,1)}
       126:{3,4}:{(115,1),(116,1),(132,1)}
       127:{1,2,6}:{(118,1),(121,1),(133,1)}
       128:{3,6}:{(119,1),(122,1)}
       129:{2,4,6}:{(120,1),(123,1),(134,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(124,1),(125,1),(133,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(126,1),(134,1),(136,1)}
       132:{1,4}:{(125,1),(126,1)}
       133:{1,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{3,4,6}:{(128,1),(129,1),(131,1),(137,1),(138,1)}
       135:{2,4,5}:{(129,1),(138,1)}
       136:{1,4,7}:{(130,1),(131,1),(132,1),(137,1)}
       137:{1,4,6}:{(133,1),(134,1),(136,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

 790 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(27,1),(28,1),(34,1),(37,1),(38,1),(39,1),(76,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(42,1),(43,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(25,1),(46,1),(47,1),(55,1),(59,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(31,1),(32,1),(34,1)}
         4:{3,4,6}:{(1,1),(8,1),(12,1),(37,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(12,1),(62,1),(63,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(37,1),(66,1),(67,1),(76,1)}
         7:{1,2,4,5,6}:{(3,1),(14,1),(15,1),(20,1),(42,1),(43,1),(45,1),(88,1),(89,1),(90,1)}
         8:{3,5}:{(3,1),(4,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(19,1),(20,1),(25,1),(51,1),(52,1),(55,1),(60,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(21,1),(22,1),(42,1),(56,1),(78,1),(85,1),(104,1)}
        11:{2,3,4,6}:{(4,1),(18,1),(21,1),(23,1),(43,1),(57,1),(78,1),(85,1),(104,1)}
        12:{3,4,7}:{(4,1),(5,1),(19,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(24,1),(25,1),(80,1),(81,1)}
        14:{3,5,6}:{(7,1),(8,1),(26,1),(29,1),(37,1)}
        15:{1,2,4,5,7}:{(7,1),(29,1),(30,1),(62,1),(63,1),(65,1),(95,1),(96,1),(97,1)}
        16:{3,4,5}:{(8,1),(26,1),(31,1),(32,1),(69,1)}
        17:{1,3,5}:{(8,1),(10,1),(31,1),(34,1),(69,1),(108,1)}
        18:{2,3,5}:{(8,1),(11,1),(32,1),(34,1),(69,1),(108,1)}
        19:{3,5,7}:{(8,1),(9,1),(12,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(37,1),(38,1),(71,1),(72,1),(76,1),(77,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(34,1),(39,1),(40,1),(74,1),(76,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(35,1),(40,1),(62,1),(93,1),(98,1)}
        23:{2,3,4,7}:{(11,1),(12,1),(36,1),(40,1),(63,1),(93,1),(98,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(41,1),(77,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(41,1),(95,1),(96,1)}
        26:{3,4,6}:{(14,1),(16,1),(42,1),(43,1),(44,1),(78,1)}
        27:{1,3,5,6}:{(14,1),(17,1),(42,1),(45,1),(46,1),(56,1),(78,1),(88,1),(105,1)}
        28:{2,3,5,6}:{(14,1),(18,1),(43,1),(45,1),(47,1),(57,1),(78,1),(89,1),(105,1)}
        29:{3,5,7}:{(14,1),(15,1),(44,1),(48,1)}
        30:{1,2,4,6,7}:{(15,1),(20,1),(48,1),(49,1),(80,1),(81,1),(83,1),(84,1)}
        31:{1,4,5}:{(16,1),(17,1),(42,1),(111,1)}
        32:{2,4,5}:{(16,1),(18,1),(43,1),(111,1)}
        33:{3,4,5,7}:{(16,1),(19,1),(44,1),(51,1),(52,1),(53,1),(60,1),(82,1),(86,1),(110,1),(111,1)}
        34:{1,2,5}:{(17,1),(18,1),(21,1)}
        35:{1,3,5,7}:{(17,1),(19,1),(22,1),(51,1),(55,1),(56,1),(86,1)}
        36:{2,3,5,7}:{(18,1),(19,1),(23,1),(52,1),(55,1),(57,1),(86,1)}
        37:{3,6}:{(19,1),(20,1)}
        38:{1,2,5,6}:{(20,1),(25,1),(58,1),(88,1),(89,1)}
        39:{1,2,3,6}:{(21,1),(54,1),(59,1),(78,1)}
        40:{1,2,4,7}:{(21,1),(22,1),(23,1),(55,1),(59,1)}
        41:{3,5,7}:{(24,1),(25,1),(58,1),(60,1)}
        42:{1,4,6}:{(26,1),(27,1),(31,1),(62,1),(109,1)}
        43:{2,4,6}:{(26,1),(28,1),(32,1),(63,1),(109,1)}
        44:{3,4,7}:{(26,1),(29,1),(62,1),(63,1),(93,1)}
        45:{1,2,5,6}:{(27,1),(28,1),(34,1),(61,1),(65,1),(76,1)}
        46:{1,3,5,7}:{(27,1),(29,1),(62,1),(65,1),(66,1),(93,1),(95,1),(107,1)}
        47:{2,3,5,7}:{(28,1),(29,1),(63,1),(65,1),(67,1),(93,1),(96,1),(107,1)}
        48:{3,6,7}:{(29,1),(30,1),(37,1)}
        49:{1,2,5,6,7}:{(30,1),(38,1),(68,1),(95,1),(96,1)}
        50:{1,2,4,5}:{(31,1),(32,1),(34,1),(61,1),(69,1),(74,1)}
        51:{1,4,5,7}:{(31,1),(33,1),(35,1),(62,1),(71,1),(95,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(36,1),(63,1),(72,1),(96,1)}
        53:{3,4,6}:{(33,1),(37,1),(71,1),(72,1),(73,1),(77,1),(99,1),(109,1)}
        54:{1,2,3,5}:{(34,1),(39,1),(69,1),(74,1)}
        55:{1,2,5,7}:{(34,1),(35,1),(36,1),(40,1),(76,1)}
        56:{1,3,6}:{(35,1),(37,1),(71,1),(76,1),(99,1)}
        57:{2,3,6}:{(36,1),(37,1),(72,1),(76,1),(99,1)}
        58:{3,5,6}:{(37,1),(38,1),(41,1),(77,1)}
        59:{1,2,3,7}:{(39,1),(40,1),(93,1)}
        60:{4,5,7}:{(41,1),(77,1)}
        61:{1,2,4,6}:{(42,1),(43,1),(45,1),(50,1),(78,1),(79,1)}
        62:{1,4,7}:{(42,1),(44,1),(46,1),(110,1)}
        63:{2,4,7}:{(43,1),(44,1),(47,1),(110,1)}
        64:{3,4,6,7}:{(44,1),(48,1),(53,1),(80,1),(81,1),(82,1),(84,1),(102,1),(110,1)}
        65:{1,2,5,7}:{(45,1),(46,1),(47,1),(79,1),(83,1)}
        66:{1,3,6,7}:{(46,1),(48,1),(56,1),(80,1),(83,1),(102,1)}
        67:{2,3,6,7}:{(47,1),(48,1),(57,1),(81,1),(83,1),(102,1)}
        68:{3,5,6,7}:{(48,1),(49,1),(58,1),(82,1),(84,1)}
        69:{3,5}:{(50,1),(78,1),(85,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(52,1),(55,1),(79,1),(86,1),(87,1),(91,1),(103,1),(106,1),(110,1),(111,1)}
        71:{1,4,6}:{(51,1),(53,1),(56,1),(88,1)}
        72:{2,4,6}:{(52,1),(53,1),(57,1),(89,1)}
        73:{3,5,6}:{(53,1),(82,1),(88,1),(89,1),(90,1)}
        74:{1,2,4}:{(54,1),(85,1)}
        75:{1,2,3,5,7}:{(54,1),(55,1),(59,1),(86,1),(91,1),(92,1),(106,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{4,6}:{(58,1),(60,1)}
        78:{3,6}:{(61,1),(69,1),(93,1)}
        79:{1,2,4,7}:{(61,1),(62,1),(63,1),(65,1),(93,1)}
        80:{1,4,6,7}:{(62,1),(64,1),(66,1),(71,1),(95,1)}
        81:{2,4,6,7}:{(63,1),(64,1),(67,1),(72,1),(96,1)}
        82:{3,5,7}:{(64,1),(73,1),(95,1),(96,1),(97,1)}
        83:{1,2,6,7}:{(65,1),(66,1),(67,1),(76,1)}
        84:{4,6,7}:{(68,1),(77,1),(97,1)}
        85:{3,4}:{(69,1),(74,1)}
        86:{3,5,7}:{(69,1),(70,1),(93,1),(98,1),(99,1),(108,1)}
        87:{1,2,4,6}:{(70,1),(71,1),(72,1),(76,1),(99,1),(100,1),(109,1)}
        88:{1,5,6}:{(71,1),(73,1),(95,1)}
        89:{2,5,6}:{(72,1),(73,1),(96,1)}
        90:{4,5,6}:{(73,1),(77,1),(97,1),(109,1)}
        91:{1,2,4,7}:{(74,1),(75,1),(98,1),(101,1)}
        92:{1,2,3,6}:{(75,1),(76,1),(99,1),(101,1)}
        93:{3,7}:{(78,1),(79,1)}
        94:{1,2,4,6,7}:{(79,1),(80,1),(81,1),(83,1),(87,1),(102,1),(103,1),(110,1)}
        95:{1,5,7}:{(80,1),(82,1),(88,1)}
        96:{2,5,7}:{(81,1),(82,1),(89,1)}
        97:{4,5,7}:{(82,1),(84,1),(90,1),(110,1)}
        98:{3,4,7}:{(85,1),(86,1),(91,1),(104,1),(110,1)}
        99:{3,6}:{(86,1),(87,1)}
       100:{1,2,5,6}:{(87,1),(88,1),(89,1),(103,1),(105,1),(106,1)}
       101:{1,2,4,6}:{(91,1),(92,1),(104,1),(106,1)}
       102:{3,6,7}:{(93,1),(94,1),(99,1),(107,1)}
       103:{1,2,5,7}:{(94,1),(95,1),(96,1),(100,1),(107,1)}
       104:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       105:{3,5,6}:{(99,1),(100,1),(107,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(108,1)}
       107:{3,5,7}:{(102,1),(103,1),(105,1),(110,1)}
       108:{3,5}:{(104,1),(106,1),(111,1)}
       109:{4,6}:{(105,1),(110,1),(111,1)}
       110:{4,7}:{(107,1),(109,1)}
       111:{4,5}:{(108,1),(109,1)}

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

 792 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(22,1),(42,1),(51,1),(87,1),(102,1)}
         1:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(32,1),(36,1),(77,1)}
         2:{1,3,5}:{(0,1),(7,1),(9,1),(34,1),(110,1),(127,1)}
         3:{1,3,4,7}:{(0,1),(8,1),(10,1),(27,1),(67,1),(76,1),(113,1),(205,1)}
         4:{1,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(14,1),(22,1),(42,1),(60,1),(107,1)}
         5:{1,4,5,6}:{(12,1),(14,1),(15,1),(60,1),(109,1)}
         6:{2,3,6}:{(1,1),(16,1),(17,1),(42,1)}
         7:{1,2,5}:{(1,1),(2,1),(16,1),(103,1)}
         8:{1,2,4,7}:{(1,1),(3,1),(17,1),(19,1),(52,1),(208,1)}
         9:{1,4,5}:{(2,1),(12,1),(20,1),(148,1)}
        10:{1,3,5,7}:{(2,1),(3,1),(19,1),(21,1),(22,1),(56,1),(133,1),(197,1),(200,1)}
        11:{1,2,5,6}:{(4,1),(7,1),(23,1),(24,1),(25,1),(29,1),(36,1),(110,1),(153,1)}
        12:{1,4,6}:{(4,1),(9,1),(26,1),(27,1),(131,1)}
        13:{1,3,5,7}:{(4,1),(25,1),(27,1),(28,1),(30,1),(67,1),(71,1),(119,1)}
        14:{3,5,6}:{(5,1),(26,1),(29,1),(30,1)}
        15:{1,4,5,7}:{(5,1),(27,1),(30,1),(31,1),(71,1),(121,1)}
        16:{2,3,5}:{(6,1),(7,1),(32,1),(34,1)}
        17:{2,3,7}:{(6,1),(8,1),(67,1),(209,1)}
        18:{1,2,4,5}:{(7,1),(9,1),(24,1),(32,1),(34,1),(37,1),(61,1),(74,1),(78,1),(110,1)}
        19:{1,2,5,7}:{(7,1),(8,1),(10,1),(33,1),(36,1),(204,1),(207,1)}
        20:{3,4,5}:{(9,1),(26,1),(34,1),(37,1)}
        21:{1,4,5,7}:{(9,1),(10,1),(27,1),(38,1),(39,1),(71,1),(188,1),(192,1)}
        22:{1,3,6}:{(10,1),(36,1),(39,1),(81,1),(153,1)}
        23:{2,3,5,6}:{(11,1),(16,1),(40,1),(41,1),(42,1),(53,1),(85,1),(103,1),(107,1),(134,1),(135,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(18,1),(40,1),(42,1),(43,1),(45,1),(87,1),(90,1)}
        25:{1,2,5,7}:{(11,1),(13,1),(41,1),(43,1),(44,1),(48,1),(133,1)}
        26:{3,4,6}:{(12,1),(14,1),(20,1),(42,1),(45,1),(46,1)}
        27:{1,4,7}:{(12,1),(13,1),(46,1),(141,1)}
        28:{1,3,6,7}:{(13,1),(22,1),(44,1),(47,1),(49,1),(93,1),(197,1)}
        29:{2,5,6}:{(14,1),(45,1),(48,1)}
        30:{3,5,7}:{(14,1),(15,1),(46,1),(48,1),(49,1)}
        31:{1,4,6,7}:{(15,1),(49,1),(50,1),(98,1)}
        32:{2,4}:{(16,1),(51,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(19,1),(52,1),(53,1),(56,1),(103,1),(196,1),(198,1),(201,1)}
        34:{3,5}:{(18,1),(42,1),(51,1)}
        35:{1,2,4,5,7}:{(18,1),(19,1),(21,1),(43,1),(52,1),(56,1),(57,1),(58,1),(86,1),(94,1),(100,1),(103,1),(104,1),(133,1),(141,1),(146,1),(148,1),(172,1),(173,1),(178,1),(196,1)}
        36:{1,2,6}:{(19,1),(22,1),(53,1)}
        37:{2,4,5}:{(20,1),(45,1),(55,1)}
        38:{3,4,5,7}:{(20,1),(21,1),(46,1),(56,1),(58,1),(59,1),(96,1),(141,1),(148,1),(175,1),(180,1)}
        39:{1,4,6}:{(21,1),(22,1),(59,1),(60,1)}
        40:{2,4,6}:{(23,1),(32,1),(61,1),(62,1),(63,1),(131,1)}
        41:{2,3,5,7}:{(23,1),(25,1),(63,1),(64,1),(67,1),(111,1),(115,1),(119,1)}
        42:{3,6}:{(24,1),(34,1),(67,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(27,1),(63,1),(67,1),(69,1),(113,1),(116,1)}
        44:{1,2,6,7}:{(25,1),(28,1),(36,1),(64,1),(72,1),(153,1),(204,1)}
        45:{2,4,6}:{(26,1),(29,1),(37,1),(66,1),(69,1)}
        46:{3,4,7}:{(26,1),(27,1),(30,1),(67,1),(69,1)}
        47:{1,4,6,7}:{(27,1),(28,1),(39,1),(70,1),(71,1),(161,1),(188,1)}
        48:{2,5,7}:{(29,1),(30,1),(69,1),(72,1)}
        49:{3,6,7}:{(30,1),(31,1),(72,1)}
        50:{1,5,6,7}:{(31,1),(71,1),(73,1),(161,1)}
        51:{3,4}:{(32,1),(34,1),(74,1)}
        52:{2,4,7}:{(32,1),(33,1),(76,1),(77,1),(206,1)}
        53:{2,3,6}:{(33,1),(36,1),(77,1),(81,1),(203,1)}
        54:{1,3,5}:{(34,1),(65,1),(74,1),(78,1),(110,1),(123,1)}
        55:{2,3,5}:{(34,1),(37,1),(66,1),(75,1),(78,1)}
        56:{3,5,7}:{(34,1),(35,1),(67,1),(76,1),(81,1),(127,1),(186,1),(190,1)}
        57:{1,2,4,6}:{(35,1),(36,1),(39,1),(77,1),(81,1),(82,1),(83,1),(112,1),(125,1),(128,1),(131,1),(153,1),(184,1),(203,1)}
        58:{2,4,5,7}:{(37,1),(38,1),(69,1),(80,1),(83,1),(120,1),(159,1),(165,1)}
        59:{3,4,6}:{(38,1),(39,1),(81,1),(83,1),(84,1),(131,1)}
        60:{1,5,6}:{(39,1),(71,1),(84,1)}
        61:{2,4,5}:{(40,1),(85,1),(103,1),(148,1)}
        62:{3,4,6}:{(40,1),(42,1),(51,1),(85,1),(87,1),(88,1),(134,1)}
        63:{2,4,7}:{(40,1),(41,1),(88,1),(141,1)}
        64:{2,3,6,7}:{(41,1),(44,1),(53,1),(89,1),(93,1),(134,1),(198,1)}
        65:{1,3,6}:{(42,1),(54,1),(87,1),(90,1),(91,1)}
        66:{2,3,6}:{(42,1),(45,1),(55,1),(90,1),(92,1)}
        67:{3,7}:{(42,1),(43,1)}
        68:{1,2,4,6,7}:{(43,1),(44,1),(47,1),(57,1),(89,1),(93,1),(94,1),(95,1),(136,1),(138,1),(141,1),(173,1)}
        69:{2,4,7}:{(45,1),(46,1),(48,1),(92,1)}
        70:{3,4,6,7}:{(46,1),(47,1),(49,1),(59,1),(93,1),(95,1),(96,1),(98,1),(141,1),(143,1),(175,1)}
        71:{1,5,7}:{(47,1),(60,1),(96,1)}
        72:{2,6,7}:{(48,1),(49,1)}
        73:{3,5,6,7}:{(49,1),(50,1),(96,1),(97,1),(98,1),(143,1)}
        74:{1,4}:{(51,1),(54,1)}
        75:{2,3,4}:{(51,1),(55,1),(99,1)}
        76:{3,4,7}:{(51,1),(52,1),(56,1),(100,1),(102,1),(141,1),(199,1)}
        77:{2,4,6}:{(52,1),(53,1),(102,1),(103,1)}
        78:{1,2,5}:{(54,1),(55,1),(90,1),(99,1)}
        79:{1,3,5,7}:{(54,1),(56,1),(91,1),(100,1),(104,1),(105,1),(133,1),(144,1),(146,1),(177,1)}
        80:{2,3,5,7}:{(55,1),(56,1),(58,1),(92,1),(101,1),(104,1),(106,1),(147,1),(196,1)}
        81:{3,6}:{(56,1),(57,1)}
        82:{1,2,5,6}:{(57,1),(60,1),(94,1),(103,1),(107,1),(108,1),(135,1),(146,1),(170,1)}
        83:{2,4,6}:{(58,1),(59,1),(106,1),(108,1)}
        84:{3,5,6}:{(59,1),(60,1),(96,1),(108,1),(109,1)}
        85:{3,5}:{(61,1),(62,1),(110,1)}
        86:{2,4,5,7}:{(61,1),(63,1),(111,1),(112,1),(115,1),(156,1)}
        87:{1,4,6}:{(62,1),(65,1),(74,1),(110,1),(113,1),(153,1)}
        88:{3,4,7}:{(62,1),(63,1),(67,1),(111,1),(113,1)}
        89:{2,4,6,7}:{(63,1),(64,1),(77,1),(112,1),(114,1),(115,1),(187,1),(203,1)}
        90:{1,2,6}:{(65,1),(66,1),(78,1),(116,1)}
        91:{1,3,7}:{(65,1),(67,1),(113,1),(116,1)}
        92:{2,3,7}:{(66,1),(67,1),(69,1),(116,1)}
        93:{3,6,7}:{(67,1),(68,1),(81,1),(119,1),(186,1)}
        94:{1,2,5,7}:{(68,1),(71,1),(82,1),(115,1),(119,1),(120,1),(155,1)}
        95:{2,4,6,7}:{(69,1),(70,1),(72,1),(83,1),(118,1),(120,1),(159,1)}
        96:{3,5,7}:{(70,1),(71,1),(84,1),(120,1),(121,1)}
        97:{2,5,6,7}:{(72,1),(73,1),(120,1),(122,1)}
        98:{4,6,7}:{(73,1),(121,1)}
        99:{1,2,4}:{(74,1),(75,1),(78,1),(123,1)}
       100:{1,4,7}:{(74,1),(76,1),(79,1),(125,1),(189,1)}
       101:{2,3,4,7}:{(75,1),(76,1),(80,1),(124,1),(126,1),(159,1),(186,1),(187,1)}
       102:{3,4,6}:{(76,1),(77,1),(81,1),(125,1),(127,1),(131,1)}
       103:{2,5}:{(77,1),(127,1)}
       104:{1,2,5,7}:{(78,1),(79,1),(80,1),(116,1),(124,1),(128,1),(163,1)}
       105:{1,3,6}:{(79,1),(81,1),(125,1),(128,1),(153,1)}
       106:{2,3,6}:{(80,1),(81,1),(83,1),(128,1),(203,1)}
       107:{3,5,6}:{(81,1),(82,1),(119,1),(127,1),(131,1)}
       108:{2,5,6}:{(83,1),(84,1),(120,1)}
       109:{4,5,6}:{(84,1),(121,1),(131,1)}
       110:{1,5}:{(85,1),(87,1)}
       111:{3,5,7}:{(85,1),(86,1),(88,1),(133,1),(134,1)}
       112:{2,4,6}:{(86,1),(134,1),(135,1),(171,1)}
       113:{1,4,7}:{(87,1),(88,1),(91,1),(133,1)}
       114:{3,4,6,7}:{(88,1),(89,1),(93,1),(102,1),(134,1),(136,1),(137,1),(141,1),(171,1),(174,1),(195,1)}
       115:{2,5,7}:{(89,1),(103,1),(135,1),(137,1)}
       116:{1,2,7}:{(90,1),(91,1),(92,1)}
       117:{1,3,6,7}:{(91,1),(93,1),(105,1),(136,1),(138,1),(139,1),(195,1)}
       118:{2,3,6,7}:{(92,1),(93,1),(95,1),(106,1),(138,1),(140,1),(143,1)}
       119:{3,5,7}:{(93,1),(94,1),(107,1),(141,1)}
       120:{2,5,7}:{(95,1),(96,1),(108,1)}
       121:{4,5,7}:{(96,1),(98,1),(109,1),(141,1)}
       122:{2,4,6,7}:{(97,1),(98,1),(142,1),(143,1)}
       123:{1,3}:{(99,1)}
       124:{1,2,4,7}:{(99,1),(100,1),(101,1),(104,1),(144,1),(145,1)}
       125:{1,4,6}:{(100,1),(102,1),(105,1),(146,1)}
       126:{2,3,4,6}:{(101,1),(102,1),(106,1),(145,1),(147,1),(151,1),(181,1),(182,1),(199,1)}
       127:{3,5}:{(102,1),(103,1),(146,1),(148,1)}
       128:{1,2,6}:{(104,1),(105,1),(106,1)}
       129:{1,3,5,6}:{(105,1),(107,1),(139,1),(146,1),(149,1),(150,1),(170,1),(177,1),(179,1),(181,1),(195,1)}
       130:{2,3,5,6}:{(106,1),(107,1),(108,1),(140,1),(147,1),(149,1),(151,1),(152,1),(181,1)}
       131:{4,6}:{(107,1),(141,1),(148,1)}
       132:{2,4,5,6}:{(108,1),(109,1),(142,1),(151,1),(152,1)}
       133:{1,5,7}:{(110,1),(111,1),(113,1),(153,1)}
       134:{3,6}:{(111,1),(112,1),(153,1)}
       135:{2,5,6}:{(112,1),(115,1),(154,1),(203,1)}
       136:{1,4,6,7}:{(113,1),(114,1),(117,1),(125,1),(153,1),(155,1),(158,1),(184,1)}
       137:{3,5,7}:{(114,1),(115,1),(127,1),(154,1),(155,1),(156,1)}
       138:{1,2,6,7}:{(116,1),(117,1),(118,1),(128,1),(157,1),(161,1),(203,1)}
       139:{1,3,5,7}:{(117,1),(119,1),(129,1),(155,1),(157,1),(158,1),(185,1),(186,1)}
       140:{2,3,5,7}:{(118,1),(119,1),(120,1),(130,1),(157,1),(159,1),(160,1),(186,1)}
       141:{4,7}:{(119,1),(131,1)}
       142:{2,4,5,7}:{(120,1),(121,1),(122,1),(132,1),(159,1),(160,1)}
       143:{3,6,7}:{(122,1),(160,1),(161,1)}
       144:{1,3,7}:{(123,1),(124,1),(162,1),(186,1)}
       145:{1,2,4,6}:{(124,1),(125,1),(126,1),(128,1),(162,1),(163,1),(189,1)}
       146:{1,5}:{(125,1),(127,1)}
       147:{2,3,5}:{(126,1),(127,1),(163,1),(165,1),(190,1),(191,1)}
       148:{4,5}:{(127,1),(131,1)}
       149:{1,2,5,6}:{(128,1),(129,1),(130,1),(157,1),(163,1),(166,1),(169,1),(191,1),(203,1)}
       150:{1,4,6}:{(129,1),(131,1),(158,1),(164,1),(167,1),(189,1)}
       151:{2,4,6}:{(130,1),(131,1),(159,1),(165,1),(168,1)}
       152:{3,5,6}:{(132,1),(160,1),(168,1),(169,1)}
       153:{1,6}:{(133,1),(134,1)}
       154:{3,5,6}:{(134,1),(135,1),(137,1),(170,1),(171,1),(195,1)}
       155:{1,5,7}:{(136,1),(137,1),(146,1),(170,1)}
       156:{4,5,7}:{(137,1),(141,1),(148,1),(171,1)}
       157:{1,2,5,7}:{(138,1),(139,1),(140,1),(149,1),(173,1),(176,1),(196,1)}
       158:{1,4,7}:{(139,1),(141,1),(150,1),(174,1)}
       159:{2,4,7}:{(140,1),(141,1),(151,1),(175,1)}
       160:{3,5,7}:{(142,1),(143,1),(152,1),(175,1),(176,1)}
       161:{1,6,7}:{(143,1),(176,1)}
       162:{1,3,6}:{(144,1),(145,1),(177,1),(181,1)}
       163:{1,2,5}:{(145,1),(146,1),(147,1),(177,1)}
       164:{1,4,5}:{(146,1),(148,1),(150,1),(179,1)}
       165:{2,4,5}:{(147,1),(148,1),(151,1),(180,1)}
       166:{1,2,4,6}:{(149,1),(150,1),(151,1),(173,1),(178,1),(181,1),(182,1),(183,1),(202,1)}
       167:{3,4,6}:{(150,1),(174,1),(179,1),(181,1),(182,1),(195,1),(199,1)}
       168:{3,4,6}:{(151,1),(152,1),(175,1),(180,1),(181,1),(183,1)}
       169:{1,5,6}:{(152,1),(176,1),(183,1)}
       170:{1,5,6}:{(153,1),(154,1),(155,1),(184,1)}
       171:{4,6}:{(154,1),(156,1)}
       172:{1,4,5,7}:{(155,1),(156,1),(158,1),(164,1),(184,1),(185,1)}
       173:{1,2,4,7}:{(157,1),(158,1),(159,1),(166,1),(186,1),(187,1),(188,1),(204,1)}
       174:{3,4,7}:{(158,1),(167,1),(185,1),(186,1),(187,1)}
       175:{3,4,7}:{(159,1),(160,1),(168,1),(186,1),(188,1)}
       176:{1,5,7}:{(160,1),(161,1),(169,1),(188,1)}
       177:{1,3,5}:{(162,1),(163,1),(189,1),(190,1)}
       178:{1,2,4,5}:{(163,1),(164,1),(165,1),(166,1),(189,1),(190,1),(191,1),(192,1),(206,1),(207,1)}
       179:{3,5}:{(164,1),(167,1),(191,1)}
       180:{3,4,5}:{(165,1),(168,1),(190,1),(192,1)}
       181:{3,6}:{(166,1),(186,1),(190,1)}
       182:{2,4,6}:{(167,1),(187,1),(191,1),(194,1),(203,1),(206,1)}
       183:{1,4,6}:{(168,1),(169,1),(188,1),(192,1),(193,1)}
       184:{1,4,6}:{(170,1),(171,1),(172,1),(195,1)}
       185:{3,5,7}:{(172,1),(174,1),(179,1),(195,1),(196,1)}
       186:{3,7}:{(173,1),(181,1)}
       187:{2,4,7}:{(174,1),(182,1),(196,1),(198,1)}
       188:{1,4,7}:{(175,1),(176,1),(183,1),(197,1)}
       189:{1,4}:{(177,1),(199,1)}
       190:{3,5}:{(178,1),(181,1),(199,1)}
       191:{2,5}:{(179,1),(182,1)}
       192:{1,4,5}:{(180,1),(183,1),(200,1)}
       193:{1,3,6}:{(181,1),(183,1),(197,1),(200,1),(202,1)}
       194:{2,3,6}:{(181,1),(182,1),(198,1),(201,1),(202,1)}
       195:{3,6}:{(184,1),(185,1),(203,1)}
       196:{2,5,7}:{(185,1),(187,1),(191,1),(203,1)}
       197:{1,3,7}:{(186,1),(188,1),(193,1),(204,1)}
       198:{2,3,7}:{(186,1),(187,1),(194,1),(204,1)}
       199:{3,4}:{(189,1),(190,1),(206,1)}
       200:{1,3,5}:{(190,1),(192,1),(193,1),(205,1),(207,1)}
       201:{2,3,5}:{(190,1),(191,1),(194,1),(206,1),(207,1),(209,1)}
       202:{1,2,6}:{(193,1),(194,1),(204,1),(207,1)}
       203:{2,6}:{(195,1),(196,1)}
       204:{1,2,7}:{(197,1),(198,1),(202,1)}
       205:{1,3,4}:{(199,1),(200,1),(208,1)}
       206:{2,4}:{(199,1),(201,1)}
       207:{1,2,5}:{(200,1),(201,1),(202,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{2,3}:{(208,1)}

 793 :   0:{2,3,4,6}:{(3,1),(4,1),(5,1),(7,1),(31,1),(34,1),(64,1),(76,1),(115,1)}
         1:{2,3,5,6}:{(4,1),(6,1),(7,1),(8,1),(9,1),(31,1),(34,1),(73,1),(120,1)}
         2:{2,4,5,6}:{(7,1),(9,1),(10,1),(73,1),(122,1)}
         3:{1,2,4,6}:{(0,1),(11,1),(12,1),(13,1),(43,1),(47,1),(91,1)}
         4:{2,3,5}:{(0,1),(12,1),(14,1),(45,1),(99,1),(138,1)}
         5:{2,3,4,7}:{(0,1),(13,1),(15,1),(20,1),(57,1),(90,1),(102,1),(206,1)}
         6:{1,2,5,6}:{(1,1),(12,1),(16,1),(17,1),(18,1),(22,1),(47,1),(99,1),(144,1)}
         7:{2,4,6}:{(1,1),(14,1),(19,1),(20,1),(142,1)}
         8:{2,3,5,7}:{(1,1),(18,1),(20,1),(21,1),(23,1),(57,1),(61,1),(108,1)}
         9:{3,5,6}:{(2,1),(19,1),(22,1),(23,1)}
        10:{2,4,5,7}:{(2,1),(20,1),(23,1),(24,1),(61,1),(110,1)}
        11:{1,3,6}:{(3,1),(25,1),(26,1),(34,1)}
        12:{1,2,5}:{(3,1),(4,1),(25,1),(116,1)}
        13:{1,2,4,7}:{(3,1),(5,1),(26,1),(28,1),(65,1),(208,1)}
        14:{2,4,5}:{(4,1),(7,1),(29,1),(157,1)}
        15:{2,3,5,7}:{(4,1),(5,1),(28,1),(30,1),(31,1),(69,1),(123,1),(192,1),(203,1)}
        16:{1,3,5,6}:{(6,1),(25,1),(32,1),(33,1),(34,1),(66,1),(74,1),(116,1),(120,1),(124,1),(125,1)}
        17:{1,2,4,6}:{(6,1),(7,1),(27,1),(32,1),(34,1),(35,1),(37,1),(76,1),(79,1)}
        18:{1,2,5,7}:{(6,1),(8,1),(33,1),(35,1),(36,1),(40,1),(123,1)}
        19:{3,4,6}:{(7,1),(9,1),(29,1),(34,1),(37,1),(38,1)}
        20:{2,4,7}:{(7,1),(8,1),(38,1),(131,1)}
        21:{2,3,6,7}:{(8,1),(31,1),(36,1),(39,1),(41,1),(82,1),(192,1)}
        22:{1,5,6}:{(9,1),(37,1),(40,1)}
        23:{3,5,7}:{(9,1),(10,1),(38,1),(40,1),(41,1)}
        24:{2,4,6,7}:{(10,1),(41,1),(42,1),(87,1)}
        25:{1,3,5}:{(11,1),(12,1),(43,1),(45,1)}
        26:{1,3,7}:{(11,1),(13,1),(57,1),(209,1)}
        27:{1,2,4,5}:{(12,1),(14,1),(17,1),(43,1),(45,1),(48,1),(51,1),(89,1),(92,1),(99,1)}
        28:{1,2,5,7}:{(12,1),(13,1),(15,1),(44,1),(47,1),(200,1),(207,1)}
        29:{3,4,5}:{(14,1),(19,1),(45,1),(48,1)}
        30:{2,4,5,7}:{(14,1),(15,1),(20,1),(49,1),(50,1),(61,1),(180,1),(195,1)}
        31:{2,3,6}:{(15,1),(47,1),(50,1),(95,1),(144,1)}
        32:{1,4,6}:{(16,1),(43,1),(51,1),(52,1),(53,1),(142,1)}
        33:{1,3,5,7}:{(16,1),(18,1),(53,1),(54,1),(57,1),(100,1),(104,1),(108,1)}
        34:{3,6}:{(17,1),(45,1),(57,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(20,1),(53,1),(57,1),(59,1),(102,1),(105,1)}
        36:{1,2,6,7}:{(18,1),(21,1),(47,1),(54,1),(62,1),(144,1),(200,1)}
        37:{1,4,6}:{(19,1),(22,1),(48,1),(55,1),(59,1)}
        38:{3,4,7}:{(19,1),(20,1),(23,1),(57,1),(59,1)}
        39:{2,4,6,7}:{(20,1),(21,1),(50,1),(60,1),(61,1),(152,1),(180,1)}
        40:{1,5,7}:{(22,1),(23,1),(59,1),(62,1)}
        41:{3,6,7}:{(23,1),(24,1),(62,1)}
        42:{2,5,6,7}:{(24,1),(61,1),(63,1),(152,1)}
        43:{1,4}:{(25,1),(64,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(28,1),(65,1),(66,1),(69,1),(116,1),(190,1),(191,1),(202,1)}
        45:{3,5}:{(27,1),(34,1),(64,1)}
        46:{1,2,4,5,7}:{(27,1),(28,1),(30,1),(35,1),(65,1),(69,1),(70,1),(71,1),(75,1),(83,1),(114,1),(116,1),(117,1),(123,1),(131,1),(156,1),(157,1),(164,1),(165,1),(183,1),(190,1)}
        47:{1,2,6}:{(28,1),(31,1),(66,1)}
        48:{1,4,5}:{(29,1),(37,1),(67,1)}
        49:{3,4,5,7}:{(29,1),(30,1),(38,1),(69,1),(71,1),(72,1),(85,1),(131,1),(157,1),(166,1),(184,1)}
        50:{2,4,6}:{(30,1),(31,1),(72,1),(73,1)}
        51:{1,4,5}:{(32,1),(74,1),(116,1),(157,1)}
        52:{3,4,6}:{(32,1),(34,1),(64,1),(74,1),(76,1),(77,1),(124,1)}
        53:{1,4,7}:{(32,1),(33,1),(77,1),(131,1)}
        54:{1,3,6,7}:{(33,1),(36,1),(66,1),(78,1),(82,1),(124,1),(191,1)}
        55:{1,3,6}:{(34,1),(37,1),(67,1),(79,1),(80,1)}
        56:{2,3,6}:{(34,1),(68,1),(76,1),(79,1),(81,1)}
        57:{3,7}:{(34,1),(35,1)}
        58:{1,2,4,6,7}:{(35,1),(36,1),(39,1),(70,1),(78,1),(82,1),(83,1),(84,1),(126,1),(128,1),(131,1),(165,1)}
        59:{1,4,7}:{(37,1),(38,1),(40,1),(80,1)}
        60:{3,4,6,7}:{(38,1),(39,1),(41,1),(72,1),(82,1),(84,1),(85,1),(87,1),(131,1),(133,1),(166,1)}
        61:{2,5,7}:{(39,1),(73,1),(85,1)}
        62:{1,6,7}:{(40,1),(41,1)}
        63:{3,5,6,7}:{(41,1),(42,1),(85,1),(86,1),(87,1),(133,1)}
        64:{3,4}:{(43,1),(45,1),(89,1)}
        65:{1,4,7}:{(43,1),(44,1),(90,1),(91,1),(205,1)}
        66:{1,3,6}:{(44,1),(47,1),(91,1),(95,1),(199,1)}
        67:{1,3,5}:{(45,1),(48,1),(55,1),(88,1),(92,1)}
        68:{2,3,5}:{(45,1),(56,1),(89,1),(92,1),(99,1),(134,1)}
        69:{3,5,7}:{(45,1),(46,1),(57,1),(90,1),(95,1),(138,1),(179,1),(194,1)}
        70:{1,2,4,6}:{(46,1),(47,1),(50,1),(91,1),(95,1),(96,1),(97,1),(101,1),(137,1),(139,1),(142,1),(144,1),(177,1),(199,1)}
        71:{1,4,5,7}:{(48,1),(49,1),(59,1),(93,1),(97,1),(109,1),(149,1),(171,1)}
        72:{3,4,6}:{(49,1),(50,1),(95,1),(97,1),(98,1),(142,1)}
        73:{2,5,6}:{(50,1),(61,1),(98,1)}
        74:{3,5}:{(51,1),(52,1),(99,1)}
        75:{1,4,5,7}:{(51,1),(53,1),(100,1),(101,1),(104,1),(147,1)}
        76:{2,4,6}:{(52,1),(56,1),(89,1),(99,1),(102,1),(144,1)}
        77:{3,4,7}:{(52,1),(53,1),(57,1),(100,1),(102,1)}
        78:{1,4,6,7}:{(53,1),(54,1),(91,1),(101,1),(103,1),(104,1),(181,1),(199,1)}
        79:{1,2,6}:{(55,1),(56,1),(92,1),(105,1)}
        80:{1,3,7}:{(55,1),(57,1),(59,1),(105,1)}
        81:{2,3,7}:{(56,1),(57,1),(102,1),(105,1)}
        82:{3,6,7}:{(57,1),(58,1),(95,1),(108,1),(179,1)}
        83:{1,2,5,7}:{(58,1),(61,1),(96,1),(104,1),(108,1),(109,1),(146,1)}
        84:{1,4,6,7}:{(59,1),(60,1),(62,1),(97,1),(106,1),(109,1),(149,1)}
        85:{3,5,7}:{(60,1),(61,1),(98,1),(109,1),(110,1)}
        86:{1,5,6,7}:{(62,1),(63,1),(109,1),(111,1)}
        87:{4,6,7}:{(63,1),(110,1)}
        88:{1,3,4}:{(64,1),(67,1),(112,1)}
        89:{2,4}:{(64,1),(68,1)}
        90:{3,4,7}:{(64,1),(65,1),(69,1),(114,1),(115,1),(131,1),(201,1)}
        91:{1,4,6}:{(65,1),(66,1),(115,1),(116,1)}
        92:{1,2,5}:{(67,1),(68,1),(79,1),(112,1)}
        93:{1,3,5,7}:{(67,1),(69,1),(71,1),(80,1),(113,1),(117,1),(118,1),(155,1),(190,1)}
        94:{2,3,5,7}:{(68,1),(69,1),(81,1),(114,1),(117,1),(119,1),(123,1),(153,1),(156,1),(182,1)}
        95:{3,6}:{(69,1),(70,1)}
        96:{1,2,5,6}:{(70,1),(73,1),(83,1),(116,1),(120,1),(121,1),(125,1),(156,1),(162,1)}
        97:{1,4,6}:{(71,1),(72,1),(118,1),(121,1)}
        98:{3,5,6}:{(72,1),(73,1),(85,1),(121,1),(122,1)}
        99:{2,5}:{(74,1),(76,1)}
       100:{3,5,7}:{(74,1),(75,1),(77,1),(123,1),(124,1)}
       101:{1,4,6}:{(75,1),(124,1),(125,1),(163,1)}
       102:{2,4,7}:{(76,1),(77,1),(81,1),(123,1)}
       103:{3,4,6,7}:{(77,1),(78,1),(82,1),(115,1),(124,1),(126,1),(127,1),(131,1),(163,1),(167,1),(189,1)}
       104:{1,5,7}:{(78,1),(116,1),(125,1),(127,1)}
       105:{1,2,7}:{(79,1),(80,1),(81,1)}
       106:{1,3,6,7}:{(80,1),(82,1),(84,1),(118,1),(128,1),(129,1),(133,1)}
       107:{2,3,6,7}:{(81,1),(82,1),(119,1),(126,1),(128,1),(130,1),(189,1)}
       108:{3,5,7}:{(82,1),(83,1),(120,1),(131,1)}
       109:{1,5,7}:{(84,1),(85,1),(121,1)}
       110:{4,5,7}:{(85,1),(87,1),(122,1),(131,1)}
       111:{1,4,6,7}:{(86,1),(87,1),(132,1),(133,1)}
       112:{1,2,4}:{(88,1),(89,1),(92,1),(134,1)}
       113:{1,3,4,7}:{(88,1),(90,1),(93,1),(135,1),(136,1),(149,1),(179,1),(181,1)}
       114:{2,4,7}:{(89,1),(90,1),(94,1),(137,1),(193,1)}
       115:{3,4,6}:{(90,1),(91,1),(95,1),(137,1),(138,1),(142,1)}
       116:{1,5}:{(91,1),(138,1)}
       117:{1,2,5,7}:{(92,1),(93,1),(94,1),(105,1),(135,1),(139,1),(170,1)}
       118:{1,3,6}:{(93,1),(95,1),(97,1),(139,1),(199,1)}
       119:{2,3,6}:{(94,1),(95,1),(137,1),(139,1),(144,1)}
       120:{3,5,6}:{(95,1),(96,1),(108,1),(138,1),(142,1)}
       121:{1,5,6}:{(97,1),(98,1),(109,1)}
       122:{4,5,6}:{(98,1),(110,1),(142,1)}
       123:{2,5,7}:{(99,1),(100,1),(102,1),(144,1)}
       124:{3,6}:{(100,1),(101,1),(144,1)}
       125:{1,5,6}:{(101,1),(104,1),(145,1),(199,1)}
       126:{2,4,6,7}:{(102,1),(103,1),(107,1),(137,1),(144,1),(146,1),(150,1),(177,1)}
       127:{3,5,7}:{(103,1),(104,1),(138,1),(145,1),(146,1),(147,1)}
       128:{1,2,6,7}:{(105,1),(106,1),(107,1),(139,1),(148,1),(152,1),(199,1)}
       129:{1,3,5,7}:{(106,1),(108,1),(109,1),(140,1),(148,1),(149,1),(151,1),(179,1)}
       130:{2,3,5,7}:{(107,1),(108,1),(141,1),(146,1),(148,1),(150,1),(178,1),(179,1)}
       131:{4,7}:{(108,1),(142,1)}
       132:{1,4,5,7}:{(109,1),(110,1),(111,1),(143,1),(149,1),(151,1)}
       133:{3,6,7}:{(111,1),(151,1),(152,1)}
       134:{2,3}:{(112,1)}
       135:{1,2,4,7}:{(112,1),(113,1),(114,1),(117,1),(153,1),(154,1)}
       136:{1,3,4,6}:{(113,1),(115,1),(118,1),(154,1),(155,1),(159,1),(186,1),(188,1),(201,1)}
       137:{2,4,6}:{(114,1),(115,1),(119,1),(156,1)}
       138:{3,5}:{(115,1),(116,1),(156,1),(157,1)}
       139:{1,2,6}:{(117,1),(118,1),(119,1)}
       140:{1,3,5,6}:{(118,1),(120,1),(121,1),(129,1),(155,1),(158,1),(159,1),(161,1),(186,1)}
       141:{2,3,5,6}:{(119,1),(120,1),(130,1),(156,1),(158,1),(160,1),(162,1),(182,1),(185,1),(186,1),(189,1)}
       142:{4,6}:{(120,1),(131,1),(157,1)}
       143:{1,4,5,6}:{(121,1),(122,1),(132,1),(159,1),(161,1)}
       144:{2,6}:{(123,1),(124,1)}
       145:{3,5,6}:{(124,1),(125,1),(127,1),(162,1),(163,1),(189,1)}
       146:{2,5,7}:{(126,1),(127,1),(156,1),(162,1)}
       147:{4,5,7}:{(127,1),(131,1),(157,1),(163,1)}
       148:{1,2,5,7}:{(128,1),(129,1),(130,1),(158,1),(165,1),(168,1),(190,1)}
       149:{1,4,7}:{(129,1),(131,1),(159,1),(166,1)}
       150:{2,4,7}:{(130,1),(131,1),(160,1),(167,1)}
       151:{3,5,7}:{(132,1),(133,1),(161,1),(166,1),(168,1)}
       152:{2,6,7}:{(133,1),(168,1)}
       153:{2,3,7}:{(134,1),(135,1),(169,1),(179,1)}
       154:{1,2,4,6}:{(135,1),(136,1),(137,1),(139,1),(169,1),(170,1),(193,1)}
       155:{1,3,5}:{(136,1),(138,1),(170,1),(171,1),(194,1),(196,1)}
       156:{2,5}:{(137,1),(138,1)}
       157:{4,5}:{(138,1),(142,1)}
       158:{1,2,5,6}:{(139,1),(140,1),(141,1),(148,1),(170,1),(173,1),(176,1),(196,1),(199,1)}
       159:{1,4,6}:{(140,1),(142,1),(149,1),(171,1),(174,1)}
       160:{2,4,6}:{(141,1),(142,1),(150,1),(172,1),(175,1),(193,1)}
       161:{3,5,6}:{(143,1),(151,1),(174,1),(176,1)}
       162:{2,5,6}:{(144,1),(145,1),(146,1),(177,1)}
       163:{4,6}:{(145,1),(147,1)}
       164:{2,4,5,7}:{(146,1),(147,1),(150,1),(172,1),(177,1),(178,1)}
       165:{1,2,4,7}:{(148,1),(149,1),(150,1),(173,1),(179,1),(180,1),(181,1),(200,1)}
       166:{3,4,7}:{(149,1),(151,1),(174,1),(179,1),(180,1)}
       167:{3,4,7}:{(150,1),(175,1),(178,1),(179,1),(181,1)}
       168:{2,5,7}:{(151,1),(152,1),(176,1),(180,1)}
       169:{2,3,6}:{(153,1),(154,1),(182,1),(186,1)}
       170:{1,2,5}:{(154,1),(155,1),(156,1),(182,1)}
       171:{1,4,5}:{(155,1),(157,1),(159,1),(184,1)}
       172:{2,4,5}:{(156,1),(157,1),(160,1),(185,1)}
       173:{1,2,4,6}:{(158,1),(159,1),(160,1),(165,1),(183,1),(186,1),(187,1),(188,1),(204,1)}
       174:{3,4,6}:{(159,1),(161,1),(166,1),(184,1),(186,1),(187,1)}
       175:{3,4,6}:{(160,1),(167,1),(185,1),(186,1),(188,1),(189,1),(201,1)}
       176:{2,5,6}:{(161,1),(168,1),(187,1)}
       177:{2,4,6}:{(162,1),(163,1),(164,1),(189,1)}
       178:{3,5,7}:{(164,1),(167,1),(185,1),(189,1),(190,1)}
       179:{3,7}:{(165,1),(186,1)}
       180:{2,4,7}:{(166,1),(168,1),(187,1),(192,1)}
       181:{1,4,7}:{(167,1),(188,1),(190,1),(191,1)}
       182:{2,3,5}:{(169,1),(170,1),(193,1),(194,1)}
       183:{1,2,4,5}:{(170,1),(171,1),(172,1),(173,1),(193,1),(194,1),(195,1),(196,1),(205,1),(207,1)}
       184:{3,4,5}:{(171,1),(174,1),(194,1),(195,1)}
       185:{3,5}:{(172,1),(175,1),(196,1)}
       186:{3,6}:{(173,1),(179,1),(194,1)}
       187:{2,4,6}:{(174,1),(176,1),(180,1),(195,1),(198,1)}
       188:{1,4,6}:{(175,1),(181,1),(196,1),(197,1),(199,1),(205,1)}
       189:{3,6}:{(177,1),(178,1),(199,1)}
       190:{1,5,7}:{(178,1),(181,1),(196,1),(199,1)}
       191:{1,3,7}:{(179,1),(181,1),(197,1),(200,1)}
       192:{2,3,7}:{(179,1),(180,1),(198,1),(200,1)}
       193:{2,4}:{(182,1),(201,1)}
       194:{3,5}:{(183,1),(186,1),(201,1)}
       195:{2,4,5}:{(184,1),(187,1),(203,1)}
       196:{1,5}:{(185,1),(188,1)}
       197:{1,3,6}:{(186,1),(188,1),(191,1),(202,1),(204,1)}
       198:{2,3,6}:{(186,1),(187,1),(192,1),(203,1),(204,1)}
       199:{1,6}:{(189,1),(190,1)}
       200:{1,2,7}:{(191,1),(192,1),(204,1)}
       201:{3,4}:{(193,1),(194,1),(205,1)}
       202:{1,3,5}:{(194,1),(196,1),(197,1),(205,1),(207,1),(209,1)}
       203:{2,3,5}:{(194,1),(195,1),(198,1),(206,1),(207,1)}
       204:{1,2,6}:{(197,1),(198,1),(200,1),(207,1)}
       205:{1,4}:{(201,1),(202,1)}
       206:{2,3,4}:{(201,1),(203,1),(208,1)}
       207:{1,2,5}:{(202,1),(203,1),(204,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{1,3}:{(208,1)}

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

 795 :   0:{1,2,3,7}:{(3,1),(4,1),(129,1),(190,1),(220,1)}
         1:{2,3,4,7}:{(3,1),(5,1),(6,1),(18,1),(75,1),(129,1),(183,1)}
         2:{1,2,3,5,7}:{(0,1),(8,1),(9,1),(10,1),(12,1),(32,1),(35,1),(38,1),(85,1),(87,1)}
         3:{1,2,4,7}:{(0,1),(1,1),(7,1),(10,1),(11,1),(205,1)}
         4:{1,2,3,6}:{(0,1),(11,1),(12,1),(97,1),(164,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(15,1),(35,1),(204,1),(227,1)}
         6:{2,3,4,6}:{(1,1),(11,1),(14,1),(15,1),(36,1),(42,1),(48,1),(97,1)}
         7:{1,3,4,7}:{(3,1),(16,1),(17,1),(18,1),(115,1),(129,1),(182,1)}
         8:{1,2,4,7}:{(2,1),(18,1),(20,1),(23,1),(120,1)}
         9:{1,2,3,6}:{(2,1),(20,1),(21,1),(61,1),(118,1)}
        10:{1,2,5,7}:{(3,1),(5,1),(16,1),(21,1),(22,1),(219,1),(230,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(6,1),(17,1),(21,1),(22,1),(23,1)}
        12:{1,2,3,5}:{(4,1),(22,1),(23,1),(67,1),(132,1),(133,1)}
        13:{2,4,5,7}:{(5,1),(24,1),(25,1),(28,1),(73,1),(75,1),(189,1),(222,1)}
        14:{2,3,6}:{(5,1),(21,1),(25,1),(61,1)}
        15:{2,3,5}:{(6,1),(22,1),(28,1),(62,1),(67,1)}
        16:{1,3,5,7}:{(7,1),(10,1),(29,1),(30,1),(31,1),(35,1),(203,1),(226,1)}
        17:{1,3,4,6}:{(7,1),(11,1),(30,1),(31,1),(36,1),(42,1),(83,1),(97,1)}
        18:{3,4,7}:{(8,1),(35,1),(36,1),(42,1),(154,1),(161,1)}
        19:{1,2,4,5,7}:{(8,1),(10,1),(13,1),(29,1),(35,1),(37,1),(38,1),(41,1),(43,1),(78,1),(85,1),(94,1),(95,1),(96,1),(153,1),(161,1),(201,1)}
        20:{1,2,4,6}:{(8,1),(9,1),(36,1),(38,1)}
        21:{1,2,6}:{(10,1),(14,1),(30,1)}
        22:{1,2,5}:{(11,1),(15,1),(31,1)}
        23:{1,2,4}:{(12,1),(42,1)}
        24:{3,4,5,7}:{(13,1),(35,1),(43,1),(44,1),(49,1),(94,1),(103,1),(108,1),(160,1),(161,1),(208,1)}
        25:{2,4,6}:{(13,1),(14,1),(44,1),(46,1)}
        26:{2,3,6,7}:{(14,1),(39,1),(45,1),(47,1),(92,1),(169,1),(227,1)}
        27:{2,3,5,6}:{(14,1),(15,1),(40,1),(46,1),(47,1),(48,1),(93,1),(97,1),(107,1)}
        28:{2,4,5}:{(15,1),(48,1),(49,1),(94,1)}
        29:{1,4,5,7}:{(16,1),(50,1),(51,1),(54,1),(113,1),(115,1),(186,1),(221,1)}
        30:{1,3,6}:{(16,1),(21,1),(51,1),(61,1)}
        31:{1,3,5}:{(17,1),(22,1),(54,1),(62,1),(67,1)}
        32:{1,2,3,7}:{(55,1),(56,1),(133,1),(216,1),(230,1)}
        33:{2,3,4,7}:{(18,1),(55,1),(57,1),(58,1),(69,1),(184,1),(216,1)}
        34:{1,3,4,7}:{(18,1),(55,1),(59,1),(60,1),(68,1),(187,1),(216,1)}
        35:{3,5,7}:{(18,1),(19,1),(61,1),(62,1),(67,1),(129,1),(181,1),(216,1)}
        36:{3,4,6}:{(18,1),(20,1),(61,1),(62,1),(128,1)}
        37:{1,2,4,6}:{(19,1),(21,1),(25,1),(51,1),(61,1),(64,1),(70,1),(110,1),(118,1),(128,1)}
        38:{1,2,5}:{(20,1),(62,1)}
        39:{1,2,6,7}:{(21,1),(26,1),(52,1),(65,1),(194,1),(215,1),(230,1)}
        40:{1,2,5,6}:{(21,1),(22,1),(27,1),(53,1),(65,1),(66,1),(140,1),(177,1)}
        41:{1,2,4,5}:{(22,1),(23,1),(28,1),(54,1),(66,1),(67,1),(77,1),(117,1),(132,1)}
        42:{3,4}:{(23,1),(67,1)}
        43:{1,4,5,7}:{(24,1),(59,1),(70,1),(77,1),(126,1),(134,1),(141,1),(187,1)}
        44:{3,4,6}:{(24,1),(25,1),(61,1),(70,1),(72,1),(128,1)}
        45:{2,4,6,7}:{(25,1),(26,1),(71,1),(73,1),(75,1),(222,1),(223,1)}
        46:{2,5,6}:{(25,1),(72,1),(73,1)}
        47:{2,3,5,7}:{(26,1),(27,1),(65,1),(73,1),(75,1),(127,1),(129,1),(139,1)}
        48:{2,4,6}:{(27,1),(28,1),(75,1),(76,1),(128,1)}
        49:{3,4,5}:{(28,1),(67,1),(76,1),(77,1)}
        50:{3,4,5,7}:{(29,1),(35,1),(78,1),(79,1),(84,1),(94,1),(144,1),(149,1),(157,1),(161,1),(206,1)}
        51:{1,4,6}:{(29,1),(30,1),(79,1),(81,1)}
        52:{1,3,6,7}:{(30,1),(39,1),(80,1),(82,1),(92,1),(199,1),(226,1)}
        53:{1,3,5,6}:{(30,1),(31,1),(40,1),(81,1),(82,1),(83,1),(93,1),(97,1),(148,1)}
        54:{1,4,5}:{(31,1),(83,1),(84,1),(94,1)}
        55:{1,2,4,7}:{(32,1),(33,1),(34,1),(85,1),(86,1),(100,1)}
        56:{1,2,3,6}:{(32,1),(86,1),(87,1),(202,1),(228,1)}
        57:{2,3,5,7}:{(33,1),(35,1),(78,1),(85,1),(88,1),(89,1),(99,1),(163,1)}
        58:{2,3,4,6}:{(33,1),(36,1),(86,1),(88,1),(89,1),(154,1),(156,1),(202,1)}
        59:{1,3,5,7}:{(34,1),(35,1),(43,1),(85,1),(90,1),(91,1),(98,1),(162,1)}
        60:{1,3,4,6}:{(34,1),(36,1),(86,1),(90,1),(91,1),(154,1),(159,1),(202,1)}
        61:{3,6}:{(35,1),(37,1)}
        62:{3,5}:{(36,1),(38,1),(94,1)}
        63:{1,2,4,6,7}:{(37,1),(39,1),(45,1),(80,1),(92,1),(95,1),(96,1),(101,1),(142,1),(151,1),(161,1),(201,1)}
        64:{1,2,5,6}:{(37,1),(38,1),(46,1),(81,1),(93,1),(95,1),(102,1),(143,1)}
        65:{1,2,5,7}:{(39,1),(40,1),(47,1),(82,1),(96,1),(170,1),(200,1)}
        66:{1,2,4,6}:{(40,1),(41,1),(48,1),(83,1),(96,1),(97,1),(109,1),(150,1),(164,1)}
        67:{3,5}:{(41,1),(42,1),(97,1)}
        68:{1,3,4}:{(42,1),(98,1),(100,1)}
        69:{2,3,4}:{(42,1),(99,1),(100,1)}
        70:{1,4,6}:{(43,1),(44,1),(90,1),(102,1)}
        71:{3,4,6,7}:{(44,1),(45,1),(92,1),(101,1),(103,1),(108,1),(161,1),(168,1),(169,1),(208,1),(210,1)}
        72:{3,5,6}:{(44,1),(46,1),(102,1),(103,1),(104,1)}
        73:{2,5,7}:{(45,1),(46,1),(103,1)}
        74:{2,4,5,6}:{(46,1),(48,1),(104,1),(106,1),(107,1)}
        75:{2,4,7}:{(47,1),(48,1),(108,1),(161,1)}
        76:{3,4,6}:{(48,1),(49,1),(97,1),(107,1),(108,1),(109,1)}
        77:{1,4,5}:{(49,1),(98,1),(109,1)}
        78:{2,4,5,7}:{(50,1),(57,1),(110,1),(117,1),(123,1),(171,1),(178,1),(184,1)}
        79:{3,4,6}:{(50,1),(51,1),(61,1),(110,1),(112,1),(128,1)}
        80:{1,4,6,7}:{(51,1),(52,1),(111,1),(113,1),(115,1),(221,1),(229,1)}
        81:{1,5,6}:{(51,1),(112,1),(113,1)}
        82:{1,3,5,7}:{(52,1),(53,1),(65,1),(113,1),(115,1),(127,1),(129,1),(176,1)}
        83:{1,4,6}:{(53,1),(54,1),(115,1),(116,1),(128,1)}
        84:{3,4,5}:{(54,1),(67,1),(116,1),(117,1)}
        85:{1,2,5,7}:{(55,1),(57,1),(59,1),(118,1),(119,1),(132,1),(190,1)}
        86:{1,2,4,6}:{(55,1),(56,1),(58,1),(60,1),(118,1),(119,1),(120,1)}
        87:{1,2,3,5}:{(56,1),(119,1),(120,1),(181,1),(219,1),(220,1)}
        88:{2,3,6}:{(57,1),(61,1),(110,1),(118,1)}
        89:{2,3,5}:{(58,1),(62,1),(119,1),(123,1),(181,1)}
        90:{1,3,6}:{(59,1),(61,1),(70,1),(118,1)}
        91:{1,3,5}:{(60,1),(62,1),(119,1),(126,1),(181,1)}
        92:{3,6,7}:{(61,1),(63,1),(127,1),(129,1),(216,1)}
        93:{3,5,6}:{(61,1),(62,1),(64,1),(127,1),(128,1)}
        94:{4,5}:{(62,1),(128,1)}
        95:{1,2,5,7}:{(63,1),(64,1),(73,1),(113,1),(127,1),(134,1),(171,1)}
        96:{1,2,4,7}:{(65,1),(66,1),(75,1),(115,1),(129,1),(141,1),(178,1),(190,1)}
        97:{3,6}:{(66,1),(67,1),(129,1)}
        98:{1,3,5}:{(67,1),(68,1),(77,1),(130,1),(132,1)}
        99:{2,3,5}:{(67,1),(69,1),(117,1),(131,1),(132,1)}
       100:{1,2,4}:{(68,1),(69,1),(132,1),(133,1)}
       101:{1,4,6,7}:{(70,1),(71,1),(124,1),(134,1),(141,1),(187,1),(194,1)}
       102:{1,5,6}:{(70,1),(72,1),(134,1)}
       103:{3,5,7}:{(71,1),(72,1),(73,1),(134,1),(137,1)}
       104:{4,5,6}:{(72,1),(128,1),(137,1)}
       105:{2,5,6,7}:{(73,1),(136,1),(138,1),(223,1)}
       106:{2,4,5,7}:{(73,1),(74,1),(75,1),(137,1),(138,1),(139,1)}
       107:{3,5,6}:{(74,1),(76,1),(139,1),(140,1)}
       108:{3,4,7}:{(75,1),(76,1),(129,1),(139,1),(141,1)}
       109:{1,4,6}:{(76,1),(77,1),(130,1),(140,1),(141,1)}
       110:{2,4,6}:{(78,1),(79,1),(88,1),(143,1)}
       111:{3,4,6,7}:{(79,1),(80,1),(92,1),(142,1),(144,1),(149,1),(161,1),(198,1),(199,1),(206,1),(224,1)}
       112:{3,5,6}:{(79,1),(81,1),(143,1),(144,1),(145,1)}
       113:{1,5,7}:{(80,1),(81,1),(144,1)}
       114:{1,4,5,6}:{(81,1),(83,1),(145,1),(147,1),(148,1)}
       115:{1,4,7}:{(82,1),(83,1),(149,1),(161,1)}
       116:{3,4,6}:{(83,1),(84,1),(97,1),(148,1),(149,1),(150,1)}
       117:{2,4,5}:{(84,1),(99,1),(150,1)}
       118:{1,2,6}:{(85,1),(88,1),(90,1)}
       119:{1,2,5}:{(86,1),(89,1),(91,1)}
       120:{1,2,4}:{(87,1),(154,1)}
       121:{2,3,6,7}:{(88,1),(92,1),(142,1),(151,1),(155,1),(163,1),(224,1)}
       122:{2,3,5,6}:{(88,1),(89,1),(93,1),(143,1),(152,1),(155,1),(156,1),(197,1),(202,1)}
       123:{2,4,5}:{(89,1),(94,1),(156,1),(157,1)}
       124:{1,3,6,7}:{(90,1),(92,1),(101,1),(151,1),(158,1),(162,1),(210,1)}
       125:{1,3,5,6}:{(90,1),(91,1),(93,1),(102,1),(152,1),(158,1),(159,1),(167,1),(202,1)}
       126:{1,4,5}:{(91,1),(94,1),(159,1),(160,1)}
       127:{3,5,7}:{(92,1),(93,1),(95,1),(161,1)}
       128:{4,6}:{(93,1),(94,1),(161,1)}
       129:{3,7}:{(96,1),(97,1)}
       130:{1,3,6}:{(97,1),(98,1),(109,1),(162,1),(164,1)}
       131:{2,3,6}:{(97,1),(99,1),(150,1),(163,1),(164,1)}
       132:{1,2,5}:{(98,1),(99,1),(100,1),(164,1)}
       133:{1,2,3}:{(100,1)}
       134:{1,5,7}:{(101,1),(102,1),(103,1)}
       135:{1,4,5,6}:{(102,1),(104,1),(159,1),(166,1),(167,1)}
       136:{3,5,6,7}:{(103,1),(105,1),(165,1),(168,1),(169,1),(210,1)}
       137:{4,5,7}:{(103,1),(104,1),(161,1),(168,1)}
       138:{2,4,6,7}:{(105,1),(106,1),(168,1),(169,1)}
       139:{3,5,7}:{(106,1),(107,1),(108,1),(169,1),(170,1)}
       140:{1,5,6}:{(107,1),(109,1),(170,1)}
       141:{1,4,7}:{(108,1),(109,1),(162,1),(170,1)}
       142:{2,4,6,7}:{(110,1),(111,1),(121,1),(171,1),(178,1),(184,1),(215,1)}
       143:{2,5,6}:{(110,1),(112,1),(171,1)}
       144:{3,5,7}:{(111,1),(112,1),(113,1),(171,1),(174,1)}
       145:{4,5,6}:{(112,1),(128,1),(174,1)}
       146:{1,5,6,7}:{(113,1),(173,1),(175,1),(229,1)}
       147:{1,4,5,7}:{(113,1),(114,1),(115,1),(174,1),(175,1),(176,1)}
       148:{3,5,6}:{(114,1),(116,1),(176,1),(177,1)}
       149:{3,4,7}:{(115,1),(116,1),(129,1),(176,1),(178,1)}
       150:{2,4,6}:{(116,1),(117,1),(131,1),(177,1),(178,1)}
       151:{1,2,6,7}:{(118,1),(121,1),(124,1),(179,1),(190,1),(223,1),(229,1)}
       152:{1,2,5,6}:{(118,1),(119,1),(122,1),(125,1),(179,1),(180,1),(193,1),(214,1)}
       153:{1,2,4,5}:{(119,1),(120,1),(123,1),(126,1),(180,1),(181,1),(186,1),(189,1),(219,1)}
       154:{3,4}:{(120,1),(181,1)}
       155:{2,3,5,7}:{(121,1),(122,1),(127,1),(171,1),(179,1),(184,1),(213,1),(216,1)}
       156:{2,4,6}:{(122,1),(123,1),(128,1),(184,1),(185,1)}
       157:{3,4,5}:{(123,1),(181,1),(185,1),(186,1)}
       158:{1,3,5,7}:{(124,1),(125,1),(127,1),(134,1),(179,1),(187,1),(192,1),(216,1)}
       159:{1,4,6}:{(125,1),(126,1),(128,1),(187,1),(188,1)}
       160:{3,4,5}:{(126,1),(181,1),(188,1),(189,1)}
       161:{4,7}:{(127,1),(128,1)}
       162:{1,3,7}:{(129,1),(130,1),(141,1),(190,1)}
       163:{2,3,7}:{(129,1),(131,1),(178,1),(190,1)}
       164:{1,2,6}:{(130,1),(131,1),(132,1),(190,1)}
       165:{1,5,6,7}:{(134,1),(136,1),(191,1),(194,1)}
       166:{1,4,5,7}:{(134,1),(135,1),(137,1),(187,1),(191,1),(192,1)}
       167:{3,5,6}:{(135,1),(188,1),(192,1),(193,1)}
       168:{4,6,7}:{(136,1),(137,1)}
       169:{3,6,7}:{(138,1),(139,1),(194,1)}
       170:{1,5,7}:{(139,1),(140,1),(141,1),(194,1)}
       171:{2,5,7}:{(142,1),(143,1),(144,1)}
       172:{2,4,5,6}:{(143,1),(145,1),(156,1),(196,1),(197,1)}
       173:{3,5,6,7}:{(144,1),(146,1),(195,1),(198,1),(199,1),(224,1)}
       174:{4,5,7}:{(144,1),(145,1),(161,1),(198,1)}
       175:{1,4,6,7}:{(146,1),(147,1),(198,1),(199,1)}
       176:{3,5,7}:{(147,1),(148,1),(149,1),(199,1),(200,1)}
       177:{2,5,6}:{(148,1),(150,1),(200,1)}
       178:{2,4,7}:{(149,1),(150,1),(163,1),(200,1)}
       179:{1,2,5,7}:{(151,1),(152,1),(155,1),(158,1),(201,1),(211,1),(225,1)}
       180:{1,2,4,6}:{(152,1),(153,1),(156,1),(159,1),(201,1),(202,1),(207,1),(209,1),(228,1)}
       181:{3,5}:{(153,1),(154,1),(202,1)}
       182:{1,3,4}:{(154,1),(203,1),(205,1)}
       183:{2,3,4}:{(154,1),(204,1),(205,1)}
       184:{2,4,7}:{(155,1),(156,1),(161,1),(206,1)}
       185:{3,4,6}:{(156,1),(157,1),(197,1),(202,1),(206,1),(207,1)}
       186:{1,4,5}:{(157,1),(203,1),(207,1)}
       187:{1,4,7}:{(158,1),(159,1),(161,1),(208,1)}
       188:{3,4,6}:{(159,1),(160,1),(167,1),(202,1),(208,1),(209,1)}
       189:{2,4,5}:{(160,1),(204,1),(209,1)}
       190:{1,2,7}:{(162,1),(163,1),(164,1)}
       191:{1,4,6,7}:{(165,1),(166,1),(168,1),(210,1)}
       192:{3,5,7}:{(166,1),(167,1),(208,1),(210,1),(211,1)}
       193:{2,5,6}:{(167,1),(209,1),(211,1)}
       194:{1,6,7}:{(169,1),(170,1)}
       195:{2,5,6,7}:{(171,1),(173,1),(212,1),(215,1)}
       196:{2,4,5,7}:{(171,1),(172,1),(174,1),(184,1),(212,1),(213,1)}
       197:{3,5,6}:{(172,1),(185,1),(213,1),(214,1)}
       198:{4,6,7}:{(173,1),(174,1)}
       199:{3,6,7}:{(175,1),(176,1),(215,1)}
       200:{2,5,7}:{(176,1),(177,1),(178,1),(215,1)}
       201:{1,2,4,7}:{(179,1),(180,1),(184,1),(187,1),(216,1),(221,1),(222,1),(230,1)}
       202:{3,6}:{(180,1),(181,1),(216,1)}
       203:{1,3,5}:{(181,1),(182,1),(186,1),(217,1),(219,1)}
       204:{2,3,5}:{(181,1),(183,1),(189,1),(218,1),(219,1)}
       205:{1,2,4}:{(182,1),(183,1),(219,1),(220,1)}
       206:{3,4,7}:{(184,1),(185,1),(213,1),(216,1),(221,1)}
       207:{1,4,6}:{(185,1),(186,1),(214,1),(217,1),(221,1)}
       208:{3,4,7}:{(187,1),(188,1),(192,1),(216,1),(222,1)}
       209:{2,4,6}:{(188,1),(189,1),(193,1),(218,1),(222,1)}
       210:{3,6,7}:{(191,1),(192,1),(223,1)}
       211:{2,5,7}:{(192,1),(193,1),(222,1),(223,1)}
       212:{2,4,6,7}:{(195,1),(196,1),(198,1),(224,1)}
       213:{3,5,7}:{(196,1),(197,1),(206,1),(224,1),(225,1)}
       214:{1,5,6}:{(197,1),(207,1),(225,1)}
       215:{2,6,7}:{(199,1),(200,1)}
       216:{3,7}:{(201,1),(202,1)}
       217:{1,3,6}:{(202,1),(203,1),(207,1),(226,1),(228,1)}
       218:{2,3,6}:{(202,1),(204,1),(209,1),(227,1),(228,1)}
       219:{1,2,5}:{(203,1),(204,1),(205,1),(228,1)}
       220:{1,2,3}:{(205,1)}
       221:{1,4,7}:{(206,1),(207,1),(225,1),(226,1)}
       222:{2,4,7}:{(208,1),(209,1),(211,1),(227,1)}
       223:{2,6,7}:{(210,1),(211,1)}
       224:{3,6,7}:{(212,1),(213,1),(229,1)}
       225:{1,5,7}:{(213,1),(214,1),(221,1),(229,1)}
       226:{1,3,7}:{(216,1),(217,1),(221,1),(230,1)}
       227:{2,3,7}:{(216,1),(218,1),(222,1),(230,1)}
       228:{1,2,6}:{(217,1),(218,1),(219,1),(230,1)}
       229:{1,6,7}:{(224,1),(225,1)}
       230:{1,2,7}:{(226,1),(227,1),(228,1)}

 796 :   0:{1,2,3}:{(3,1)}
         1:{2,3,4}:{(3,1),(4,1),(12,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(7,1),(8,1),(22,1),(26,1),(28,1),(55,1)}
         3:{1,2,4}:{(0,1),(1,1),(5,1),(8,1)}
         4:{2,3,5}:{(1,1),(8,1),(9,1),(10,1),(26,1)}
         5:{1,3,4}:{(3,1),(11,1),(12,1)}
         6:{1,2,3,6}:{(2,1),(13,1),(14,1),(16,1),(43,1),(73,1)}
         7:{1,2,4}:{(2,1),(12,1)}
         8:{1,2,5}:{(3,1),(4,1),(11,1),(16,1)}
         9:{2,4,5}:{(4,1),(17,1),(18,1)}
        10:{2,3,6}:{(4,1),(16,1),(18,1),(19,1),(43,1)}
        11:{1,3,5}:{(5,1),(8,1),(20,1),(21,1),(26,1)}
        12:{3,4}:{(7,1),(26,1)}
        13:{1,2,3,7}:{(6,1),(27,1),(30,1),(61,1),(89,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(25,1),(27,1),(28,1),(62,1)}
        15:{1,2,4,5}:{(7,1),(8,1),(9,1),(20,1),(26,1),(28,1),(29,1),(31,1),(51,1),(55,1),(58,1)}
        16:{1,2,6}:{(8,1),(10,1),(21,1),(30,1)}
        17:{3,4,5}:{(9,1),(26,1),(31,1),(32,1),(58,1)}
        18:{2,4,6}:{(9,1),(10,1),(32,1),(33,1),(34,1)}
        19:{2,3,7}:{(10,1),(30,1),(34,1),(61,1)}
        20:{1,4,5}:{(11,1),(35,1),(36,1)}
        21:{1,3,6}:{(11,1),(16,1),(36,1),(37,1),(43,1)}
        22:{1,2,3}:{(38,1)}
        23:{2,3,4}:{(12,1),(38,1),(39,1)}
        24:{1,3,4}:{(12,1),(38,1),(40,1)}
        25:{3,4,6}:{(12,1),(14,1),(41,1),(42,1),(43,1),(77,1),(78,1)}
        26:{3,5}:{(12,1),(15,1),(43,1)}
        27:{1,2,4,7}:{(13,1),(14,1),(41,1),(44,1)}
        28:{1,2,5}:{(14,1),(42,1)}
        29:{1,2,4,6}:{(15,1),(16,1),(18,1),(36,1),(43,1),(45,1),(46,1),(47,1),(69,1),(73,1),(77,1)}
        30:{1,2,7}:{(16,1),(19,1),(37,1)}
        31:{1,4,5}:{(17,1),(40,1),(47,1)}
        32:{3,4,6}:{(17,1),(18,1),(43,1),(47,1),(48,1),(49,1),(77,1)}
        33:{2,5,6}:{(18,1),(48,1),(50,1)}
        34:{2,4,7}:{(18,1),(19,1),(49,1),(50,1)}
        35:{3,4,5}:{(20,1),(26,1),(51,1),(52,1),(58,1)}
        36:{1,4,6}:{(20,1),(21,1),(52,1),(53,1),(54,1)}
        37:{1,3,7}:{(21,1),(30,1),(54,1),(61,1)}
        38:{1,2,4}:{(22,1),(23,1),(24,1),(55,1)}
        39:{2,3,5}:{(23,1),(26,1),(51,1),(55,1),(56,1)}
        40:{1,3,5}:{(24,1),(26,1),(31,1),(55,1),(57,1)}
        41:{3,4,7}:{(25,1),(27,1),(59,1),(61,1),(91,1)}
        42:{3,5}:{(25,1),(28,1),(58,1)}
        43:{3,6}:{(26,1),(29,1),(61,1)}
        44:{1,2,5,7}:{(27,1),(28,1),(59,1),(62,1)}
        45:{1,2,5,6}:{(28,1),(29,1),(33,1),(53,1),(60,1),(62,1),(63,1),(64,1),(84,1)}
        46:{1,2,4,7}:{(29,1),(30,1),(34,1),(54,1),(61,1),(63,1),(65,1),(85,1),(89,1),(91,1)}
        47:{1,4,6}:{(31,1),(32,1),(57,1),(64,1),(65,1)}
        48:{3,5,6}:{(32,1),(33,1),(64,1),(66,1),(67,1)}
        49:{3,4,7}:{(32,1),(34,1),(61,1),(65,1),(67,1),(91,1)}
        50:{2,5,7}:{(33,1),(34,1),(67,1),(68,1)}
        51:{2,4,5}:{(35,1),(39,1),(69,1)}
        52:{3,4,6}:{(35,1),(36,1),(43,1),(69,1),(70,1),(71,1),(77,1)}
        53:{1,5,6}:{(36,1),(70,1),(72,1)}
        54:{1,4,7}:{(36,1),(37,1),(71,1),(72,1)}
        55:{1,2,5}:{(38,1),(39,1),(40,1),(73,1)}
        56:{2,3,6}:{(39,1),(43,1),(69,1),(73,1),(74,1)}
        57:{1,3,6}:{(40,1),(43,1),(47,1),(73,1),(75,1)}
        58:{4,5}:{(42,1),(77,1)}
        59:{3,5,7}:{(41,1),(42,1),(44,1),(76,1),(78,1)}
        60:{3,5,6}:{(42,1),(43,1),(45,1),(77,1),(78,1),(79,1),(98,1)}
        61:{3,7}:{(43,1),(46,1)}
        62:{1,2,6}:{(44,1),(78,1)}
        63:{1,2,5,7}:{(45,1),(46,1),(50,1),(72,1),(79,1),(80,1),(81,1),(95,1)}
        64:{1,5,6}:{(47,1),(48,1),(81,1)}
        65:{1,4,7}:{(47,1),(49,1),(75,1),(81,1)}
        66:{4,5,6}:{(48,1),(77,1),(82,1),(98,1)}
        67:{3,5,7}:{(48,1),(49,1),(50,1),(81,1),(82,1),(83,1)}
        68:{2,6,7}:{(50,1),(83,1)}
        69:{2,4,6}:{(51,1),(52,1),(56,1),(84,1),(85,1)}
        70:{3,5,6}:{(52,1),(53,1),(84,1),(86,1),(87,1)}
        71:{3,4,7}:{(52,1),(54,1),(61,1),(85,1),(87,1),(91,1)}
        72:{1,5,7}:{(53,1),(54,1),(87,1),(88,1)}
        73:{1,2,6}:{(55,1),(56,1),(57,1),(89,1)}
        74:{2,3,7}:{(56,1),(61,1),(85,1),(89,1)}
        75:{1,3,7}:{(57,1),(61,1),(65,1),(89,1)}
        76:{4,5,7}:{(58,1),(59,1),(90,1),(91,1),(103,1)}
        77:{4,6}:{(58,1),(60,1),(91,1)}
        78:{3,6}:{(59,1),(62,1),(90,1)}
        79:{3,5,7}:{(60,1),(61,1),(63,1),(91,1),(92,1),(103,1)}
        80:{1,2,6,7}:{(62,1),(63,1),(68,1),(88,1),(92,1),(93,1),(101,1)}
        81:{1,5,7}:{(64,1),(65,1),(67,1),(93,1)}
        82:{4,5,7}:{(66,1),(67,1),(91,1),(94,1),(103,1)}
        83:{3,6,7}:{(67,1),(68,1),(93,1),(94,1)}
        84:{2,5,6}:{(69,1),(70,1),(95,1)}
        85:{2,4,7}:{(69,1),(71,1),(74,1),(95,1)}
        86:{4,5,6}:{(70,1),(77,1),(96,1),(98,1)}
        87:{3,5,7}:{(70,1),(71,1),(72,1),(95,1),(96,1),(97,1)}
        88:{1,6,7}:{(72,1),(97,1)}
        89:{1,2,7}:{(73,1),(74,1),(75,1)}
        90:{4,6}:{(76,1),(78,1),(98,1)}
        91:{4,7}:{(77,1),(79,1)}
        92:{3,6,7}:{(78,1),(79,1),(80,1),(99,1)}
        93:{1,6,7}:{(81,1),(83,1)}
        94:{4,6,7}:{(82,1),(83,1),(100,1)}
        95:{2,5,7}:{(84,1),(85,1),(87,1),(101,1)}
        96:{4,5,7}:{(86,1),(87,1),(91,1),(102,1),(103,1)}
        97:{3,6,7}:{(87,1),(88,1),(101,1),(102,1)}
        98:{5,6}:{(90,1),(103,1)}
        99:{4,6,7}:{(90,1),(91,1),(92,1),(103,1)}
       100:{5,6,7}:{(94,1),(103,1)}
       101:{2,6,7}:{(95,1),(97,1)}
       102:{4,6,7}:{(96,1),(97,1),(104,1)}
       103:{5,7}:{(98,1),(99,1)}
       104:{5,6,7}:{(102,1),(103,1)}

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

 798 :   0:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(25,1),(64,1),(77,1),(82,1),(115,1),(121,1),(135,1)}
         1:{1,2,4,5,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(46,1),(53,1),(58,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(6,1),(59,1),(142,1),(149,1),(162,1)}
         3:{1,3,4,6,7}:{(2,1),(8,1),(9,1),(31,1),(73,1),(77,1),(131,1)}
         4:{2,3,5,7}:{(1,1),(10,1),(11,1),(37,1),(121,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(38,1)}
         6:{1,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(39,1),(64,1),(184,1)}
         7:{1,2,3,5,7}:{(4,1),(14,1),(15,1),(41,1),(46,1)}
         8:{1,2,4,6,7}:{(3,1),(5,1),(17,1),(18,1),(53,1)}
         9:{1,3,5,7}:{(3,1),(6,1),(18,1),(19,1),(54,1),(160,1)}
        10:{2,3,4,7}:{(4,1),(14,1),(21,1),(53,1),(92,1)}
        11:{2,3,6}:{(4,1),(5,1),(149,1)}
        12:{1,2,5,6}:{(5,1),(6,1),(18,1),(22,1),(46,1)}
        13:{1,4,5,6}:{(6,1),(19,1),(24,1),(89,1),(142,1)}
        14:{1,2,4,7}:{(7,1),(10,1),(25,1),(28,1)}
        15:{1,2,3,6}:{(7,1),(11,1),(28,1),(63,1)}
        16:{1,3,5,6,7}:{(9,1),(30,1),(31,1),(71,1),(73,1),(114,1)}
        17:{2,3,6,7}:{(8,1),(11,1),(33,1),(73,1)}
        18:{1,2,5,7}:{(8,1),(9,1),(12,1),(33,1)}
        19:{1,4,5,7}:{(9,1),(13,1),(31,1),(35,1)}
        20:{2,3,4,5,7}:{(10,1),(27,1),(36,1),(37,1),(76,1),(80,1),(118,1),(121,1),(169,1),(170,1)}
        21:{2,3,4,6}:{(10,1),(11,1),(28,1),(37,1),(38,1),(70,1)}
        22:{2,3,5,6}:{(11,1),(12,1),(33,1),(37,1),(38,1),(39,1)}
        23:{1,2,4,5,6}:{(12,1),(13,1),(34,1),(38,1),(39,1),(40,1),(69,1),(83,1),(85,1),(120,1),(129,1),(184,1)}
        24:{3,4,5,6}:{(13,1),(35,1),(39,1),(40,1),(118,1),(168,1)}
        25:{1,3,4,7}:{(14,1),(41,1),(42,1),(92,1),(144,1)}
        26:{1,2,3,6,7}:{(15,1),(17,1),(43,1),(44,1),(87,1),(101,1),(149,1),(196,1),(197,1)}
        27:{1,2,4,5,7}:{(14,1),(20,1),(41,1),(45,1),(46,1),(89,1),(93,1),(144,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(21,1),(42,1),(46,1)}
        29:{1,2,3,5,6}:{(15,1),(22,1),(44,1),(46,1),(47,1),(60,1),(88,1),(90,1),(95,1),(149,1),(155,1),(156,1),(157,1),(197,1)}
        30:{1,2,5,6,7}:{(16,1),(18,1),(49,1),(50,1),(90,1),(98,1),(160,1)}
        31:{1,4,6,7}:{(16,1),(19,1),(51,1),(142,1)}
        32:{2,3,4,6,7}:{(17,1),(21,1),(43,1),(52,1),(53,1),(92,1),(100,1),(104,1),(149,1)}
        33:{2,3,5,7}:{(17,1),(18,1),(22,1),(53,1),(54,1)}
        34:{1,2,4,5,7}:{(18,1),(19,1),(23,1),(50,1),(53,1),(54,1),(55,1),(99,1),(106,1),(108,1),(160,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(51,1),(54,1),(55,1)}
        36:{2,3,4,6}:{(20,1),(45,1),(57,1),(104,1),(145,1),(149,1),(190,1)}
        37:{2,3,5}:{(21,1),(46,1),(58,1),(95,1)}
        38:{2,4,6}:{(22,1),(53,1),(58,1),(59,1)}
        39:{3,5,6}:{(23,1),(54,1),(59,1),(95,1),(149,1)}
        40:{2,4,5,6}:{(24,1),(55,1),(61,1),(147,1),(190,1)}
        41:{1,3,5,7}:{(25,1),(27,1),(63,1),(64,1),(121,1)}
        42:{1,3,4,6}:{(25,1),(28,1),(63,1),(64,1),(70,1),(117,1)}
        43:{1,2,4,6,7}:{(26,1),(28,1),(32,1),(62,1),(65,1),(66,1),(120,1),(131,1),(203,1)}
        44:{1,2,3,5,7}:{(26,1),(29,1),(33,1),(65,1),(66,1),(78,1),(116,1),(121,1),(177,1),(178,1),(180,1)}
        45:{1,2,4,6}:{(27,1),(36,1),(63,1),(68,1),(117,1)}
        46:{1,2,5}:{(28,1),(37,1),(64,1)}
        47:{1,2,4,6}:{(29,1),(38,1),(66,1),(69,1),(70,1),(83,1),(117,1),(172,1)}
        48:{1,4,5,6,7}:{(31,1),(71,1),(166,1)}
        49:{2,3,5,6,7}:{(30,1),(33,1),(72,1),(73,1),(75,1),(130,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(34,1),(72,1),(73,1),(74,1),(120,1),(131,1),(132,1)}
        51:{3,4,6,7}:{(31,1),(35,1),(71,1),(73,1),(74,1),(168,1)}
        52:{2,3,5,7}:{(32,1),(37,1),(65,1),(75,1),(76,1),(121,1),(130,1)}
        53:{2,4,7}:{(33,1),(38,1),(77,1)}
        54:{3,5,7}:{(34,1),(39,1),(73,1),(77,1)}
        55:{2,4,5,7}:{(35,1),(40,1),(74,1),(79,1)}
        56:{2,3,4,6,7}:{(36,1),(67,1),(80,1),(133,1),(170,1),(174,1),(203,1)}
        57:{2,3,5,6}:{(36,1),(37,1),(68,1),(80,1),(81,1),(125,1),(202,1)}
        58:{2,4,5}:{(37,1),(38,1),(82,1)}
        59:{3,4,6}:{(38,1),(39,1),(77,1),(82,1),(83,1)}
        60:{1,3,5,6}:{(39,1),(78,1),(83,1),(85,1),(126,1),(140,1),(175,1),(184,1)}
        61:{2,3,5,6}:{(39,1),(40,1),(79,1),(84,1),(85,1),(127,1),(176,1)}
        62:{1,3,4,6,7}:{(42,1),(43,1),(86,1),(87,1),(92,1),(142,1),(144,1),(149,1),(189,1)}
        63:{1,3,6}:{(41,1),(45,1),(149,1)}
        64:{1,3,5}:{(42,1),(46,1),(89,1),(95,1)}
        65:{1,2,5,7}:{(43,1),(46,1),(52,1),(86,1),(90,1),(160,1),(208,1)}
        66:{1,2,4,7}:{(44,1),(47,1),(53,1),(92,1),(106,1),(144,1),(192,1)}
        67:{1,2,4,6,7}:{(45,1),(56,1),(87,1),(93,1),(144,1)}
        68:{1,2,5,6}:{(45,1),(46,1),(57,1),(88,1),(93,1)}
        69:{1,2,4,5}:{(46,1),(47,1),(58,1),(89,1),(95,1),(111,1),(147,1),(156,1)}
        70:{3,4,6}:{(47,1),(92,1),(95,1),(149,1)}
        71:{3,5,6,7}:{(48,1),(51,1),(98,1),(188,1)}
        72:{2,4,6,7}:{(49,1),(53,1),(99,1),(100,1),(104,1)}
        73:{3,6,7}:{(50,1),(54,1),(149,1)}
        74:{2,4,6,7}:{(51,1),(55,1),(98,1),(102,1),(190,1)}
        75:{2,3,5,6}:{(52,1),(90,1),(104,1),(149,1),(159,1)}
        76:{2,4,5,7}:{(52,1),(53,1),(58,1),(104,1),(105,1)}
        77:{3,4,7}:{(53,1),(54,1),(59,1),(106,1)}
        78:{1,3,5,7}:{(54,1),(60,1),(101,1),(106,1),(108,1),(160,1),(163,1)}
        79:{2,3,5,7}:{(54,1),(55,1),(61,1),(102,1),(107,1),(108,1)}
        80:{2,3,5,7}:{(56,1),(57,1),(93,1),(109,1),(153,1),(208,1)}
        81:{2,4,5,6}:{(57,1),(58,1),(104,1),(109,1),(110,1)}
        82:{3,4,5}:{(58,1),(59,1),(95,1),(111,1)}
        83:{1,4,6}:{(59,1),(60,1),(106,1),(111,1)}
        84:{2,3,4,6}:{(59,1),(61,1),(107,1),(112,1),(113,1)}
        85:{1,2,5,6}:{(60,1),(61,1),(108,1),(113,1),(156,1),(197,1)}
        86:{1,3,5,7}:{(62,1),(64,1),(65,1),(114,1),(115,1),(121,1),(201,1)}
        87:{1,3,6,7}:{(63,1),(67,1),(116,1),(174,1)}
        88:{1,3,5,6}:{(63,1),(64,1),(68,1),(116,1),(117,1),(125,1)}
        89:{1,4,5}:{(64,1),(117,1),(118,1)}
        90:{1,2,5,6}:{(65,1),(75,1),(114,1),(120,1),(184,1),(202,1)}
        91:{1,2,4,5,7}:{(65,1),(66,1),(69,1),(76,1),(115,1),(120,1),(121,1),(135,1),(169,1),(177,1)}
        92:{3,4,7}:{(66,1),(70,1),(121,1)}
        93:{1,2,5,7}:{(67,1),(68,1),(80,1),(116,1)}
        94:{1,2,4,5,6}:{(68,1),(69,1),(81,1),(117,1),(120,1),(124,1),(125,1),(138,1),(166,1),(172,1),(181,1),(202,1)}
        95:{3,5}:{(69,1),(70,1)}
        96:{1,3,4,6}:{(70,1),(83,1),(122,1),(126,1),(128,1),(140,1),(175,1),(186,1)}
        97:{2,3,4,6}:{(70,1),(123,1),(127,1),(128,1),(172,1),(176,1),(205,1),(206,1)}
        98:{2,5,6,7}:{(71,1),(74,1),(202,1)}
        99:{2,4,5,7}:{(72,1),(129,1),(130,1)}
       100:{3,4,6,7}:{(72,1),(73,1),(77,1),(130,1),(131,1),(134,1)}
       101:{1,3,6,7}:{(73,1),(78,1),(131,1),(132,1),(175,1)}
       102:{2,3,6,7}:{(73,1),(74,1),(79,1),(132,1),(176,1)}
       103:{2,3,5,6,7}:{(75,1),(80,1),(119,1),(133,1),(174,1),(183,1)}
       104:{2,4,6}:{(75,1),(76,1),(134,1)}
       105:{3,4,5,7}:{(76,1),(77,1),(82,1),(121,1),(130,1),(134,1),(135,1)}
       106:{1,4,7}:{(77,1),(78,1),(83,1)}
       107:{2,3,4,7}:{(77,1),(79,1),(84,1),(136,1)}
       108:{1,2,5,7}:{(78,1),(79,1),(85,1),(132,1),(136,1)}
       109:{2,4,5,7}:{(80,1),(81,1),(133,1),(137,1)}
       110:{3,4,5,6}:{(81,1),(82,1),(125,1),(134,1),(137,1),(138,1)}
       111:{1,4,5}:{(82,1),(83,1),(126,1)}
       112:{2,3,4,5}:{(82,1),(84,1),(127,1),(139,1),(206,1)}
       113:{1,2,4,6}:{(83,1),(84,1),(85,1),(136,1),(139,1),(140,1)}
       114:{1,3,5,6}:{(86,1),(90,1),(142,1),(149,1),(188,1)}
       115:{1,4,5,7}:{(86,1),(89,1),(142,1),(143,1),(144,1)}
       116:{1,3,5,7}:{(87,1),(88,1),(93,1),(144,1),(153,1)}
       117:{1,4,6}:{(88,1),(89,1),(144,1),(145,1)}
       118:{3,4,5}:{(89,1),(95,1),(145,1),(147,1)}
       119:{1,2,5,6,7}:{(90,1),(93,1),(103,1),(141,1),(148,1),(200,1),(208,1)}
       120:{1,2,4,6}:{(90,1),(91,1),(104,1),(142,1),(149,1),(162,1),(190,1),(197,1)}
       121:{3,5,7}:{(91,1),(92,1),(95,1),(149,1)}
       122:{1,3,4,7}:{(92,1),(96,1),(106,1),(150,1),(152,1),(163,1)}
       123:{2,3,4,7}:{(92,1),(97,1),(151,1),(152,1),(192,1),(209,1)}
       124:{1,2,4,5,7}:{(93,1),(94,1),(109,1),(144,1),(148,1),(153,1),(164,1),(187,1),(192,1),(198,1),(208,1)}
       125:{3,5,6}:{(94,1),(95,1),(145,1),(149,1),(153,1)}
       126:{1,3,5}:{(95,1),(96,1),(111,1),(156,1)}
       127:{2,3,5}:{(95,1),(97,1),(147,1),(156,1)}
       128:{1,2,4,6}:{(96,1),(97,1),(152,1),(156,1),(157,1),(197,1),(199,1)}
       129:{2,4,5,6}:{(99,1),(104,1),(159,1)}
       130:{3,5,7}:{(99,1),(100,1),(159,1),(160,1)}
       131:{1,4,6,7}:{(100,1),(101,1),(106,1),(160,1),(162,1)}
       132:{1,2,6,7}:{(101,1),(102,1),(108,1),(197,1)}
       133:{2,4,6,7}:{(103,1),(104,1),(109,1),(161,1)}
       134:{3,4,6}:{(104,1),(105,1),(149,1),(159,1),(162,1)}
       135:{1,4,5,7}:{(105,1),(106,1),(111,1),(150,1),(160,1),(162,1)}
       136:{1,2,4,7}:{(106,1),(107,1),(108,1),(113,1),(163,1)}
       137:{3,4,5,7}:{(109,1),(110,1),(153,1),(161,1),(164,1)}
       138:{1,4,5,6}:{(110,1),(111,1),(154,1),(162,1),(164,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(113,1),(156,1),(165,1),(199,1)}
       140:{1,3,6}:{(113,1),(163,1),(165,1)}
       141:{1,3,5,6,7}:{(114,1),(116,1),(119,1),(167,1),(174,1),(201,1)}
       142:{1,4,6}:{(114,1),(115,1),(168,1)}
       143:{3,4,5,7}:{(115,1),(118,1),(121,1),(168,1),(169,1),(170,1),(201,1)}
       144:{1,4,7}:{(116,1),(117,1),(170,1)}
       145:{3,4,6}:{(117,1),(118,1),(125,1),(170,1),(172,1)}
       146:{1,3,4,5}:{(118,1),(126,1),(171,1),(173,1),(186,1)}
       147:{2,4,5}:{(118,1),(127,1),(172,1)}
       148:{1,2,4,6,7}:{(119,1),(120,1),(124,1),(133,1),(167,1),(174,1),(185,1),(203,1),(207,1)}
       149:{3,6}:{(120,1),(121,1)}
       150:{1,3,5,7}:{(121,1),(122,1),(126,1),(135,1),(175,1),(177,1)}
       151:{2,3,5,7}:{(121,1),(123,1),(127,1),(169,1),(176,1),(177,1)}
       152:{1,2,4,7}:{(122,1),(123,1),(128,1),(177,1),(178,1)}
       153:{3,5,7}:{(124,1),(125,1),(170,1),(174,1)}
       154:{1,3,5,6}:{(125,1),(126,1),(138,1),(171,1),(175,1),(179,1),(181,1)}
       155:{2,3,5,6}:{(125,1),(127,1),(172,1),(176,1),(180,1),(181,1),(202,1),(205,1)}
       156:{1,2,5}:{(126,1),(127,1),(128,1)}
       157:{1,2,3,6}:{(128,1),(140,1),(178,1),(182,1),(205,1)}
       158:{2,4,5,6,7}:{(129,1),(133,1),(183,1)}
       159:{3,5,6}:{(129,1),(130,1),(134,1),(184,1)}
       160:{1,5,7}:{(130,1),(131,1),(184,1)}
       161:{3,4,6,7}:{(133,1),(134,1),(137,1),(174,1),(183,1),(185,1)}
       162:{1,4,6}:{(134,1),(135,1),(175,1),(184,1)}
       163:{1,3,7}:{(136,1),(140,1)}
       164:{1,4,5,7}:{(137,1),(138,1),(179,1),(185,1)}
       165:{1,3,5}:{(139,1),(140,1),(186,1)}
       166:{1,4,5,6}:{(142,1),(187,1),(188,1)}
       167:{1,4,6,7}:{(141,1),(142,1),(144,1),(187,1),(189,1)}
       168:{3,4,6}:{(142,1),(143,1),(149,1),(188,1),(190,1)}
       169:{2,4,5,7}:{(143,1),(147,1),(151,1),(190,1),(192,1),(208,1)}
       170:{3,4,7}:{(144,1),(145,1),(153,1),(192,1)}
       171:{1,3,4,6}:{(145,1),(146,1),(154,1),(191,1),(193,1)}
       172:{2,4,6}:{(145,1),(147,1),(155,1),(192,1)}
       173:{1,2,4,5}:{(146,1),(147,1),(156,1),(193,1),(194,1),(199,1)}
       174:{3,6,7}:{(148,1),(149,1),(153,1)}
       175:{1,3,6}:{(149,1),(150,1),(162,1),(197,1)}
       176:{2,3,6}:{(149,1),(151,1),(190,1),(197,1)}
       177:{1,2,5,7}:{(150,1),(151,1),(152,1),(156,1),(197,1)}
       178:{1,2,3,7}:{(152,1),(157,1),(163,1),(209,1)}
       179:{1,3,5,7}:{(153,1),(154,1),(164,1),(191,1),(195,1),(198,1)}
       180:{2,3,5,7}:{(153,1),(155,1),(192,1),(196,1),(198,1),(208,1),(209,1)}
       181:{1,2,5,6}:{(154,1),(155,1),(156,1),(193,1),(197,1),(198,1)}
       182:{1,2,3,5}:{(156,1),(157,1),(165,1),(194,1),(199,1)}
       183:{3,5,6,7}:{(158,1),(159,1),(161,1),(200,1)}
       184:{1,5,6}:{(159,1),(160,1),(162,1)}
       185:{1,4,6,7}:{(161,1),(162,1),(164,1),(195,1),(200,1)}
       186:{1,3,4}:{(165,1),(199,1)}
       187:{1,4,5,7}:{(166,1),(167,1),(201,1)}
       188:{3,5,6}:{(166,1),(168,1),(201,1),(202,1)}
       189:{3,4,6,7}:{(167,1),(168,1),(170,1),(174,1),(201,1),(203,1)}
       190:{2,4,6}:{(168,1),(169,1),(176,1),(202,1)}
       191:{1,3,4,7}:{(170,1),(171,1),(179,1),(204,1)}
       192:{2,4,7}:{(170,1),(172,1),(180,1)}
       193:{1,2,4,6}:{(171,1),(172,1),(173,1),(181,1),(204,1),(205,1)}
       194:{2,3,5}:{(173,1),(205,1),(206,1)}
       195:{1,3,6,7}:{(174,1),(175,1),(179,1),(185,1),(207,1)}
       196:{2,3,6,7}:{(174,1),(176,1),(180,1),(203,1),(207,1)}
       197:{1,2,6}:{(175,1),(176,1),(177,1)}
       198:{1,2,5,7}:{(179,1),(180,1),(181,1),(204,1),(207,1)}
       199:{1,2,4}:{(182,1),(186,1),(206,1)}
       200:{1,5,6,7}:{(183,1),(184,1),(185,1)}
       201:{3,5,7}:{(187,1),(188,1),(189,1),(208,1)}
       202:{2,5,6}:{(188,1),(190,1),(208,1)}
       203:{2,4,6,7}:{(189,1),(190,1),(192,1),(196,1),(208,1)}
       204:{1,2,4,7}:{(191,1),(192,1),(193,1),(198,1),(209,1)}
       205:{2,3,6}:{(193,1),(194,1),(209,1)}
       206:{2,3,4}:{(194,1),(199,1)}
       207:{1,2,6,7}:{(195,1),(196,1),(197,1),(198,1)}
       208:{2,5,7}:{(201,1),(202,1),(203,1)}
       209:{2,3,7}:{(204,1),(205,1)}

 799 :   0:{1,3,4,5}:{(1,1),(2,1),(31,1),(76,1),(93,1)}
         1:{1,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(67,1)}
         2:{1,2,4,5}:{(0,1),(6,1),(7,1),(18,1),(58,1),(70,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(11,1),(43,1),(128,1),(186,1),(202,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(12,1),(13,1),(43,1),(76,1),(131,1)}
         5:{1,3,4,7}:{(1,1),(12,1),(14,1),(92,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(13,1),(14,1),(15,1),(46,1)}
         7:{2,3,5}:{(2,1),(15,1),(16,1)}
         8:{1,2,3,5}:{(7,1),(17,1),(18,1),(52,1),(58,1)}
         9:{3,4,5,7}:{(3,1),(21,1),(22,1),(23,1),(66,1),(177,1)}
        10:{1,4,5,6}:{(3,1),(4,1),(22,1),(100,1),(160,1)}
        11:{2,4,5,6}:{(3,1),(19,1),(23,1),(156,1),(206,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(22,1),(25,1),(26,1),(66,1)}
        13:{1,2,5,6}:{(4,1),(6,1),(26,1),(27,1),(58,1),(113,1)}
        14:{1,2,4,7}:{(5,1),(6,1),(26,1),(28,1),(69,1)}
        15:{2,3,6}:{(6,1),(7,1),(28,1)}
        16:{2,3,4}:{(7,1),(18,1)}
        17:{1,2,3,6}:{(8,1),(15,1),(34,1),(35,1),(77,1)}
        18:{1,2,4}:{(8,1),(16,1),(31,1)}
        19:{2,3,5,6}:{(11,1),(32,1),(37,1),(38,1),(43,1),(136,1),(192,1)}
        20:{4,5,6,7}:{(39,1),(149,1),(224,1)}
        21:{3,4,6,7}:{(9,1),(39,1),(40,1),(41,1),(91,1),(149,1),(186,1)}
        22:{1,4,5,7}:{(9,1),(10,1),(12,1),(40,1)}
        23:{2,4,5,7}:{(9,1),(11,1),(37,1),(41,1)}
        24:{1,2,4,5,6}:{(10,1),(11,1),(13,1),(38,1),(42,1),(43,1),(46,1),(83,1),(89,1),(143,1),(153,1),(200,1),(202,1)}
        25:{1,3,6,7}:{(12,1),(40,1),(44,1),(91,1),(131,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(14,1),(44,1),(45,1)}
        27:{2,3,5,6}:{(13,1),(15,1),(43,1),(45,1),(46,1),(48,1),(97,1),(153,1)}
        28:{2,3,7}:{(14,1),(15,1)}
        29:{2,3,4,6}:{(15,1),(16,1),(35,1),(46,1),(47,1),(48,1),(80,1),(97,1)}
        30:{2,3,4,5}:{(16,1),(36,1),(48,1),(49,1),(128,1)}
        31:{1,3,4}:{(18,1),(52,1)}
        32:{2,3,4,6}:{(19,1),(50,1),(53,1),(54,1),(67,1)}
        33:{1,2,3,5,6}:{(17,1),(27,1),(55,1),(56,1),(58,1),(62,1),(102,1),(104,1),(109,1),(113,1),(164,1),(166,1),(170,1),(172,1),(212,1)}
        34:{1,2,3,7}:{(17,1),(28,1),(57,1),(103,1)}
        35:{1,2,4,6}:{(17,1),(18,1),(29,1),(51,1),(57,1),(58,1),(113,1)}
        36:{1,2,4,5}:{(18,1),(30,1),(52,1),(58,1),(59,1),(100,1)}
        37:{2,3,5,7}:{(19,1),(23,1),(53,1),(60,1),(61,1),(66,1)}
        38:{1,2,5,6}:{(19,1),(54,1),(61,1),(62,1),(164,1),(212,1)}
        39:{3,5,6,7}:{(20,1),(21,1),(63,1),(64,1),(209,1)}
        40:{1,4,6,7}:{(21,1),(22,1),(25,1),(63,1),(160,1)}
        41:{2,4,6,7}:{(21,1),(23,1),(60,1),(64,1),(206,1)}
        42:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(26,1),(61,1),(65,1),(66,1),(69,1),(116,1),(122,1),(174,1),(177,1)}
        43:{3,5,6}:{(24,1),(66,1),(67,1),(109,1),(170,1)}
        44:{1,2,6,7}:{(25,1),(26,1),(68,1),(113,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(28,1),(66,1),(68,1),(69,1),(122,1)}
        46:{2,4,6}:{(27,1),(67,1),(69,1),(70,1)}
        47:{2,3,4,7}:{(28,1),(29,1),(57,1),(69,1),(71,1),(108,1)}
        48:{2,3,5}:{(29,1),(58,1),(70,1),(109,1)}
        49:{2,3,4,6}:{(30,1),(59,1),(72,1),(73,1),(159,1)}
        50:{2,3,4,5}:{(32,1),(74,1),(93,1),(136,1),(181,1)}
        51:{1,3,4,6}:{(31,1),(35,1),(75,1),(76,1),(77,1),(80,1),(130,1),(131,1)}
        52:{1,3,5}:{(31,1),(36,1),(77,1)}
        53:{2,3,4,7}:{(32,1),(37,1),(78,1),(92,1)}
        54:{1,2,4,6}:{(32,1),(38,1),(74,1),(78,1),(79,1),(89,1)}
        55:{1,2,3,5,7}:{(33,1),(34,1),(45,1),(81,1),(82,1),(84,1),(88,1),(132,1),(133,1),(140,1),(142,1),(190,1),(193,1)}
        56:{1,2,4,6}:{(33,1),(46,1),(80,1),(82,1),(83,1),(89,1),(130,1),(184,1)}
        57:{1,2,4,7}:{(34,1),(35,1),(47,1),(75,1),(84,1)}
        58:{1,2,5}:{(35,1),(48,1),(76,1)}
        59:{1,2,4,6}:{(36,1),(49,1),(77,1),(85,1),(86,1),(130,1)}
        60:{2,3,6,7}:{(37,1),(41,1),(87,1),(91,1),(192,1)}
        61:{1,2,5,7}:{(37,1),(38,1),(78,1),(87,1),(88,1)}
        62:{1,3,5,6}:{(38,1),(43,1),(79,1),(88,1),(89,1),(138,1),(194,1),(200,1)}
        63:{1,5,6,7}:{(39,1),(40,1),(188,1)}
        64:{2,5,6,7}:{(39,1),(41,1),(222,1)}
        65:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(44,1),(87,1),(90,1),(91,1),(94,1),(143,1),(146,1),(149,1)}
        66:{3,5,7}:{(42,1),(43,1),(91,1),(92,1)}
        67:{3,4,6}:{(43,1),(46,1),(89,1),(92,1),(93,1)}
        68:{2,3,6,7}:{(44,1),(45,1),(91,1),(94,1),(97,1)}
        69:{2,4,7}:{(45,1),(46,1),(92,1)}
        70:{2,4,5}:{(46,1),(48,1),(93,1)}
        71:{2,3,5,7}:{(47,1),(48,1),(84,1),(95,1),(97,1),(140,1)}
        72:{2,3,5,6}:{(48,1),(49,1),(85,1),(96,1),(97,1),(98,1),(141,1)}
        73:{2,3,4,7}:{(49,1),(86,1),(98,1),(187,1)}
        74:{1,2,4,5}:{(50,1),(54,1),(99,1),(117,1),(155,1),(164,1)}
        75:{1,3,4,7}:{(51,1),(57,1),(101,1),(103,1),(108,1),(161,1)}
        76:{1,3,5}:{(51,1),(58,1),(100,1),(109,1)}
        77:{1,3,6}:{(52,1),(59,1),(103,1)}
        78:{1,2,4,7}:{(53,1),(54,1),(61,1),(106,1),(116,1)}
        79:{1,3,6}:{(54,1),(99,1),(106,1)}
        80:{3,4,6}:{(56,1),(108,1),(109,1),(170,1)}
        81:{1,2,3,6,7}:{(55,1),(68,1),(110,1),(113,1),(115,1),(162,1),(170,1),(212,1),(214,1)}
        82:{1,2,4,7}:{(55,1),(56,1),(69,1),(108,1),(116,1),(161,1),(207,1)}
        83:{1,2,4,5}:{(56,1),(58,1),(70,1),(100,1),(109,1),(117,1),(156,1),(164,1)}
        84:{1,2,5,7}:{(57,1),(58,1),(71,1),(101,1),(113,1)}
        85:{1,2,5,6}:{(58,1),(59,1),(72,1),(102,1),(113,1),(114,1)}
        86:{1,2,4,7}:{(59,1),(73,1),(103,1),(114,1),(161,1)}
        87:{1,2,6,7}:{(60,1),(61,1),(115,1),(212,1)}
        88:{1,3,5,7}:{(61,1),(62,1),(66,1),(106,1),(115,1),(116,1),(174,1)}
        89:{1,4,6}:{(62,1),(67,1),(116,1),(117,1)}
        90:{1,2,5,6,7}:{(63,1),(64,1),(65,1),(118,1),(122,1),(172,1),(174,1)}
        91:{3,6,7}:{(65,1),(66,1),(170,1)}
        92:{3,4,7}:{(66,1),(67,1),(69,1),(116,1)}
        93:{3,4,5}:{(67,1),(70,1),(109,1),(117,1)}
        94:{2,4,6,7}:{(68,1),(69,1),(119,1),(122,1),(123,1)}
        95:{2,4,5,7}:{(69,1),(70,1),(71,1),(120,1),(122,1),(123,1)}
        96:{2,4,5,6}:{(70,1),(72,1),(121,1),(123,1),(124,1)}
        97:{2,3,6}:{(71,1),(113,1),(123,1),(170,1)}
        98:{2,3,5,7}:{(72,1),(73,1),(114,1),(124,1),(125,1),(171,1)}
        99:{1,3,5}:{(74,1),(79,1),(127,1)}
       100:{1,4,5}:{(76,1),(128,1),(130,1)}
       101:{1,3,5,7}:{(75,1),(76,1),(84,1),(129,1),(131,1),(140,1)}
       102:{1,3,5,6}:{(76,1),(77,1),(85,1),(130,1),(131,1),(132,1),(141,1),(188,1)}
       103:{1,3,7}:{(77,1),(86,1)}
       104:{1,2,3,6}:{(79,1),(126,1),(133,1),(134,1),(220,1)}
       105:{2,3,4,6}:{(80,1),(134,1),(135,1),(136,1),(181,1),(184,1),(192,1),(220,1)}
       106:{1,3,7}:{(78,1),(79,1)}
       107:{1,3,4,6}:{(79,1),(80,1),(89,1),(127,1),(134,1),(137,1),(138,1),(194,1)}
       108:{3,4,7}:{(80,1),(82,1),(140,1)}
       109:{3,5}:{(80,1),(83,1)}
       110:{1,2,4,6,7}:{(81,1),(82,1),(94,1),(139,1),(142,1),(143,1),(146,1),(189,1),(223,1)}
       111:{1,2,4,5,7}:{(82,1),(83,1),(84,1),(95,1),(129,1),(140,1),(142,1),(143,1),(147,1),(183,1),(190,1),(196,1)}
       112:{1,2,4,5,6}:{(83,1),(85,1),(96,1),(130,1),(141,1),(143,1),(144,1),(148,1),(184,1),(188,1),(191,1),(222,1),(224,1)}
       113:{1,2,6}:{(84,1),(97,1),(131,1)}
       114:{1,2,5,7}:{(85,1),(86,1),(98,1),(132,1),(145,1)}
       115:{1,3,6,7}:{(87,1),(88,1),(91,1),(146,1),(194,1)}
       116:{1,4,7}:{(88,1),(89,1),(92,1)}
       117:{1,4,5}:{(89,1),(93,1),(138,1)}
       118:{3,5,6,7}:{(90,1),(91,1),(149,1),(150,1),(197,1)}
       119:{3,4,6,7}:{(91,1),(92,1),(94,1),(146,1),(149,1),(150,1),(151,1)}
       120:{3,4,5,7}:{(92,1),(93,1),(95,1),(140,1),(147,1),(150,1),(151,1),(196,1)}
       121:{3,4,5,6}:{(93,1),(96,1),(141,1),(148,1),(151,1),(152,1),(224,1)}
       122:{2,5,7}:{(94,1),(150,1),(153,1)}
       123:{2,4,6}:{(95,1),(97,1),(151,1),(153,1)}
       124:{2,4,5,7}:{(96,1),(98,1),(152,1),(154,1)}
       125:{2,3,6,7}:{(97,1),(98,1),(145,1),(154,1),(198,1)}
       126:{1,2,3,5}:{(99,1),(104,1),(155,1),(164,1),(204,1)}
       127:{1,3,4}:{(99,1),(155,1)}
       128:{3,4,5}:{(100,1),(109,1),(156,1),(159,1)}
       129:{1,4,5,7}:{(100,1),(101,1),(158,1),(160,1),(161,1),(211,1)}
       130:{1,4,6}:{(100,1),(102,1),(159,1),(161,1)}
       131:{1,3,6}:{(101,1),(113,1),(160,1),(170,1)}
       132:{1,3,5,7}:{(102,1),(103,1),(114,1),(161,1),(162,1),(171,1),(211,1)}
       133:{1,2,3,7}:{(104,1),(106,1),(163,1),(228,1)}
       134:{1,2,4,6}:{(104,1),(105,1),(107,1),(155,1),(163,1),(164,1),(212,1)}
       135:{2,3,4,7}:{(105,1),(108,1),(163,1),(165,1),(207,1),(228,1)}
       136:{2,3,5}:{(105,1),(109,1),(156,1),(164,1)}
       137:{1,3,4,7}:{(106,1),(107,1),(108,1),(116,1),(163,1),(167,1)}
       138:{1,3,5}:{(107,1),(109,1),(117,1),(164,1)}
       139:{3,4,6,7}:{(108,1),(110,1),(169,1),(170,1),(216,1)}
       140:{3,5,7}:{(108,1),(109,1),(111,1),(170,1)}
       141:{3,5,6}:{(109,1),(112,1),(159,1),(170,1),(171,1)}
       142:{1,2,5,7}:{(110,1),(122,1),(169,1),(172,1),(174,1),(211,1),(229,1)}
       143:{1,2,4,6}:{(111,1),(113,1),(123,1),(160,1),(170,1),(172,1),(175,1),(206,1),(212,1),(216,1)}
       144:{1,2,4,5,7}:{(112,1),(114,1),(124,1),(161,1),(171,1),(173,1),(176,1),(207,1),(211,1),(213,1),(229,1),(230,1)}
       145:{1,2,6,7}:{(113,1),(114,1),(125,1),(162,1)}
       146:{1,4,6,7}:{(115,1),(116,1),(119,1),(174,1),(175,1)}
       147:{1,4,5,7}:{(116,1),(117,1),(120,1),(167,1),(174,1),(175,1)}
       148:{1,4,5,6}:{(117,1),(121,1),(168,1),(175,1),(176,1)}
       149:{4,6,7}:{(118,1),(177,1),(216,1)}
       150:{3,5,7}:{(119,1),(122,1),(174,1),(177,1),(178,1)}
       151:{3,4,6}:{(120,1),(123,1),(170,1),(175,1),(178,1),(216,1)}
       152:{3,4,5,7}:{(121,1),(124,1),(171,1),(176,1),(179,1),(230,1)}
       153:{2,5,6}:{(122,1),(123,1),(178,1)}
       154:{2,4,6,7}:{(123,1),(124,1),(125,1),(179,1),(180,1)}
       155:{1,2,4}:{(126,1),(127,1),(181,1)}
       156:{2,4,5}:{(128,1),(136,1),(184,1)}
       157:{1,3,4,5}:{(127,1),(128,1),(138,1),(182,1),(185,1)}
       158:{3,4,5,7}:{(128,1),(129,1),(140,1),(183,1),(186,1),(187,1),(196,1),(225,1)}
       159:{3,4,6}:{(128,1),(130,1),(141,1),(184,1),(187,1)}
       160:{1,4,6}:{(129,1),(131,1),(186,1),(188,1)}
       161:{1,4,7}:{(130,1),(132,1),(187,1)}
       162:{1,3,6,7}:{(131,1),(132,1),(145,1),(189,1),(198,1)}
       163:{1,2,4,7}:{(133,1),(134,1),(135,1),(137,1),(190,1)}
       164:{1,2,5}:{(134,1),(136,1),(138,1)}
       165:{2,3,5,7}:{(135,1),(136,1),(140,1),(183,1),(190,1),(192,1)}
       166:{2,3,5,6}:{(136,1),(141,1),(184,1),(191,1),(192,1),(193,1),(220,1),(222,1)}
       167:{1,3,5,7}:{(137,1),(138,1),(140,1),(147,1),(190,1),(194,1)}
       168:{1,3,5,6}:{(138,1),(141,1),(148,1),(185,1),(191,1),(194,1),(195,1)}
       169:{3,5,7}:{(139,1),(142,1),(196,1),(197,1)}
       170:{3,6}:{(140,1),(143,1)}
       171:{3,5,7}:{(141,1),(144,1),(187,1),(198,1)}
       172:{1,2,5,6}:{(142,1),(143,1),(153,1),(188,1),(197,1),(200,1),(222,1)}
       173:{1,2,4,6,7}:{(143,1),(144,1),(145,1),(154,1),(189,1),(198,1),(199,1),(201,1),(223,1),(226,1),(227,1)}
       174:{1,5,7}:{(146,1),(150,1),(200,1)}
       175:{1,4,6}:{(147,1),(151,1),(194,1),(200,1)}
       176:{1,4,5,7}:{(148,1),(152,1),(195,1),(201,1)}
       177:{4,5,7}:{(149,1),(150,1),(202,1)}
       178:{3,5,6}:{(150,1),(151,1),(153,1),(200,1),(202,1)}
       179:{3,4,6,7}:{(151,1),(152,1),(154,1),(198,1),(201,1),(203,1),(227,1)}
       180:{2,5,6,7}:{(153,1),(154,1),(203,1)}
       181:{2,3,4}:{(155,1),(204,1)}
       182:{1,2,4,5}:{(155,1),(156,1),(157,1),(164,1),(204,1),(205,1)}
       183:{2,4,5,7}:{(156,1),(158,1),(165,1),(206,1),(207,1),(229,1)}
       184:{2,4,6}:{(156,1),(159,1),(166,1),(207,1)}
       185:{1,3,4,6}:{(157,1),(159,1),(168,1),(205,1),(208,1)}
       186:{3,4,6}:{(158,1),(160,1),(170,1),(206,1),(209,1),(216,1)}
       187:{3,4,7}:{(159,1),(161,1),(171,1),(207,1)}
       188:{1,5,6}:{(160,1),(209,1),(211,1)}
       189:{1,4,6,7}:{(160,1),(161,1),(162,1),(210,1),(211,1)}
       190:{1,2,5,7}:{(163,1),(164,1),(165,1),(167,1),(212,1)}
       191:{1,2,5,6}:{(164,1),(166,1),(168,1),(205,1),(212,1),(213,1)}
       192:{2,3,6}:{(165,1),(170,1),(206,1),(212,1)}
       193:{2,3,5,7}:{(166,1),(171,1),(207,1),(213,1),(214,1),(228,1),(229,1)}
       194:{1,3,6}:{(167,1),(170,1),(175,1),(212,1)}
       195:{1,3,5,7}:{(168,1),(171,1),(176,1),(208,1),(213,1),(215,1)}
       196:{4,5,7}:{(169,1),(216,1)}
       197:{3,5,6}:{(169,1),(170,1),(172,1),(216,1)}
       198:{3,6,7}:{(170,1),(171,1),(173,1)}
       199:{1,2,5,6,7}:{(172,1),(173,1),(180,1),(211,1),(217,1),(218,1),(229,1)}
       200:{1,5,6}:{(174,1),(175,1),(178,1)}
       201:{1,4,6,7}:{(175,1),(176,1),(179,1),(215,1),(218,1)}
       202:{4,5,6}:{(177,1),(178,1),(216,1)}
       203:{3,5,6,7}:{(178,1),(179,1),(180,1),(218,1),(219,1)}
       204:{2,3,5}:{(181,1),(182,1),(220,1)}
       205:{1,2,4,6}:{(182,1),(184,1),(185,1),(191,1),(220,1),(221,1)}
       206:{2,4,6}:{(183,1),(186,1),(192,1),(222,1)}
       207:{2,4,7}:{(184,1),(187,1),(193,1)}
       208:{1,3,4,7}:{(185,1),(187,1),(195,1),(221,1)}
       209:{3,5,6}:{(186,1),(188,1),(222,1),(224,1),(225,1)}
       210:{3,4,6,7}:{(186,1),(187,1),(189,1),(198,1),(223,1),(225,1),(227,1)}
       211:{1,5,7}:{(188,1),(189,1),(225,1)}
       212:{1,2,6}:{(190,1),(192,1),(194,1)}
       213:{1,2,5,7}:{(191,1),(193,1),(195,1),(221,1),(226,1)}
       214:{2,3,6,7}:{(192,1),(193,1),(198,1),(223,1),(226,1)}
       215:{1,3,6,7}:{(194,1),(195,1),(198,1),(201,1),(226,1)}
       216:{4,6}:{(196,1),(197,1)}
       217:{3,5,6,7}:{(197,1),(198,1),(199,1),(225,1),(227,1)}
       218:{1,5,6,7}:{(200,1),(201,1),(203,1)}
       219:{4,5,6,7}:{(202,1),(203,1),(227,1)}
       220:{2,3,6}:{(204,1),(205,1),(228,1)}
       221:{1,2,4,7}:{(205,1),(207,1),(208,1),(213,1),(228,1)}
       222:{2,5,6}:{(206,1),(209,1),(229,1)}
       223:{2,4,6,7}:{(206,1),(207,1),(210,1),(214,1),(229,1)}
       224:{4,5,6}:{(209,1),(216,1),(230,1)}
       225:{3,5,7}:{(209,1),(210,1),(211,1),(229,1),(230,1)}
       226:{1,2,6,7}:{(212,1),(213,1),(214,1),(215,1)}
       227:{4,6,7}:{(216,1),(217,1),(230,1)}
       228:{2,3,7}:{(220,1),(221,1)}
       229:{2,5,7}:{(222,1),(223,1),(225,1)}
       230:{4,5,7}:{(224,1),(225,1),(227,1)}

 800 :   0:{2,4,5,6}:{(2,1),(3,1),(19,1),(43,1),(96,1)}
         1:{2,5,6,7}:{(5,1),(7,1),(78,1),(82,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(8,1),(33,1),(36,1),(82,1)}
         3:{3,5,6}:{(0,1),(6,1),(8,1),(9,1)}
         4:{2,3,4,6}:{(12,1),(13,1),(14,1),(19,1),(48,1),(60,1),(99,1),(107,1),(148,1)}
         5:{3,5,6,7}:{(1,1),(15,1),(16,1),(20,1),(53,1),(56,1)}
         6:{3,4,6}:{(3,1),(11,1),(17,1),(18,1),(19,1),(60,1)}
         7:{2,4,6,7}:{(1,1),(2,1),(16,1),(20,1)}
         8:{3,5,7}:{(2,1),(3,1),(17,1),(20,1),(21,1)}
         9:{1,5,6}:{(3,1),(18,1),(21,1)}
        10:{2,3,5,6}:{(3,1),(12,1),(19,1),(22,1),(23,1),(48,1),(60,1),(96,1),(147,1)}
        11:{3,4,5}:{(6,1),(25,1),(26,1),(72,1)}
        12:{2,3,5}:{(4,1),(26,1),(28,1),(72,1),(132,1),(168,1)}
        13:{2,3,4,7}:{(4,1),(27,1),(29,1),(36,1),(84,1),(125,1),(131,1),(189,1)}
        14:{1,2,4,6}:{(4,1),(28,1),(29,1),(30,1),(73,1),(75,1),(126,1)}
        15:{1,5,6,7}:{(5,1),(31,1),(38,1),(81,1)}
        16:{4,6,7}:{(5,1),(33,1)}
        17:{3,4,7}:{(6,1),(8,1),(35,1),(36,1),(84,1)}
        18:{1,4,6}:{(6,1),(9,1),(25,1),(32,1),(35,1)}
        19:{2,4,6}:{(6,1),(10,1),(26,1),(36,1),(167,1)}
        20:{3,6,7}:{(7,1),(8,1),(38,1)}
        21:{1,5,7}:{(8,1),(9,1),(35,1),(38,1)}
        22:{2,3,5,7}:{(8,1),(10,1),(36,1),(39,1),(40,1),(82,1),(84,1),(133,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(28,1),(37,1),(40,1),(41,1),(73,1),(132,1),(173,1)}
        24:{3,4,5,7}:{(11,1),(17,1),(44,1),(45,1),(46,1),(56,1),(98,1),(102,1),(138,1),(155,1),(183,1)}
        25:{1,4,5}:{(11,1),(18,1),(42,1)}
        26:{2,4,5}:{(11,1),(12,1),(19,1),(183,1)}
        27:{2,3,5,7}:{(12,1),(13,1),(46,1),(48,1),(49,1),(98,1),(150,1),(154,1),(176,1)}
        28:{1,2,5}:{(12,1),(14,1),(50,1),(149,1)}
        29:{1,2,4,7}:{(13,1),(14,1),(49,1),(51,1),(101,1),(199,1)}
        30:{1,3,6}:{(14,1),(50,1),(51,1),(60,1)}
        31:{1,4,6,7}:{(15,1),(16,1),(52,1),(53,1)}
        32:{1,3,6}:{(18,1),(42,1),(54,1),(55,1),(60,1)}
        33:{4,5,7}:{(16,1),(43,1),(56,1),(155,1)}
        34:{3,4,6,7}:{(16,1),(17,1),(20,1),(44,1),(53,1),(56,1),(57,1),(58,1),(102,1),(109,1),(155,1)}
        35:{1,4,7}:{(17,1),(18,1),(21,1),(54,1)}
        36:{2,4,7}:{(17,1),(19,1),(22,1),(155,1)}
        37:{1,2,4,6}:{(18,1),(19,1),(23,1),(47,1),(55,1),(59,1),(60,1),(63,1),(107,1)}
        38:{1,6,7}:{(20,1),(21,1)}
        39:{2,3,6,7}:{(20,1),(22,1),(48,1),(58,1),(61,1),(109,1),(150,1)}
        40:{1,2,5,7}:{(21,1),(22,1),(23,1),(59,1),(61,1),(62,1),(154,1)}
        41:{1,3,5,6}:{(23,1),(50,1),(60,1),(62,1),(63,1),(100,1),(111,1),(147,1),(149,1),(157,1),(158,1)}
        42:{1,3,5}:{(25,1),(32,1),(64,1),(67,1),(72,1)}
        43:{4,5,6}:{(33,1),(68,1),(167,1)}
        44:{3,4,6}:{(24,1),(68,1),(69,1),(70,1),(124,1),(167,1)}
        45:{1,4,5,7}:{(24,1),(25,1),(35,1),(66,1),(69,1),(81,1),(127,1),(159,1)}
        46:{2,4,5,7}:{(24,1),(26,1),(27,1),(36,1),(70,1),(82,1),(128,1),(160,1)}
        47:{1,2,4,5}:{(25,1),(26,1),(28,1),(37,1),(67,1),(72,1),(75,1),(88,1),(122,1),(132,1)}
        48:{2,3,6}:{(27,1),(70,1),(73,1),(124,1),(173,1)}
        49:{1,2,5,7}:{(27,1),(28,1),(29,1),(73,1),(74,1),(169,1),(190,1)}
        50:{1,3,5}:{(28,1),(30,1),(72,1),(75,1)}
        51:{1,3,7}:{(29,1),(30,1),(84,1),(206,1)}
        52:{1,4,5,7}:{(31,1),(33,1),(65,1),(76,1),(81,1),(127,1)}
        53:{3,6,7}:{(31,1),(76,1),(78,1)}
        54:{1,3,7}:{(32,1),(35,1),(79,1),(84,1)}
        55:{1,2,6}:{(32,1),(67,1),(79,1),(80,1)}
        56:{3,5,7}:{(33,1),(34,1),(68,1),(81,1),(82,1)}
        57:{1,4,6,7}:{(34,1),(35,1),(38,1),(69,1),(77,1),(81,1),(127,1)}
        58:{2,4,6,7}:{(34,1),(36,1),(39,1),(70,1),(78,1),(82,1),(128,1)}
        59:{1,2,4,7}:{(35,1),(36,1),(37,1),(40,1),(79,1),(84,1),(87,1),(131,1)}
        60:{3,6}:{(37,1),(72,1),(84,1)}
        61:{1,2,6,7}:{(38,1),(39,1),(40,1),(73,1),(86,1),(169,1),(173,1)}
        62:{1,3,5,7}:{(40,1),(41,1),(84,1),(86,1),(87,1),(133,1),(135,1),(136,1)}
        63:{1,4,6}:{(41,1),(75,1),(85,1),(87,1),(88,1),(167,1)}
        64:{1,3,4}:{(42,1),(90,1),(99,1)}
        65:{1,4,5,6}:{(43,1),(52,1),(91,1),(95,1),(142,1)}
        66:{1,3,5,7}:{(42,1),(45,1),(54,1),(89,1),(92,1),(93,1),(98,1),(139,1),(204,1)}
        67:{1,2,5}:{(42,1),(55,1),(90,1),(94,1)}
        68:{3,5,6}:{(43,1),(44,1),(56,1),(95,1),(96,1)}
        69:{1,4,6}:{(44,1),(45,1),(92,1),(95,1)}
        70:{2,4,6}:{(44,1),(46,1),(48,1),(96,1)}
        71:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(49,1),(59,1),(93,1),(97,1),(98,1),(101,1),(108,1),(113,1),(146,1),(149,1),(151,1),(154,1),(155,1),(177,1),(182,1),(183,1),(186,1),(204,1)}
        72:{3,5}:{(47,1),(60,1),(99,1)}
        73:{1,2,6}:{(48,1),(49,1),(100,1)}
        74:{1,3,5,7}:{(49,1),(50,1),(51,1),(98,1),(100,1),(101,1),(149,1),(184,1),(200,1),(204,1)}
        75:{1,4}:{(50,1),(99,1)}
        76:{3,5,7}:{(52,1),(53,1),(91,1),(102,1),(104,1)}
        77:{1,3,6,7}:{(53,1),(54,1),(57,1),(92,1),(103,1),(105,1),(109,1)}
        78:{2,6,7}:{(53,1),(104,1)}
        79:{1,2,7}:{(54,1),(55,1),(106,1)}
        80:{2,3,6}:{(55,1),(60,1),(94,1),(106,1),(107,1)}
        81:{1,5,7}:{(56,1),(57,1),(95,1)}
        82:{2,5,7}:{(56,1),(58,1),(96,1)}
        83:{1,2,4,6,7}:{(57,1),(58,1),(59,1),(61,1),(97,1),(105,1),(108,1),(109,1),(112,1),(151,1),(153,1),(155,1)}
        84:{3,7}:{(59,1),(60,1)}
        85:{3,4,6}:{(60,1),(63,1),(99,1),(107,1),(110,1),(111,1),(157,1)}
        86:{1,3,6,7}:{(61,1),(62,1),(100,1),(109,1),(112,1),(157,1),(184,1)}
        87:{1,4,7}:{(62,1),(63,1),(110,1),(155,1)}
        88:{1,4,5}:{(63,1),(111,1),(149,1),(183,1)}
        89:{1,3,4,7}:{(64,1),(66,1),(114,1),(115,1),(125,1),(127,1),(170,1),(196,1)}
        90:{1,2,4}:{(64,1),(67,1),(116,1),(122,1)}
        91:{3,5,6}:{(65,1),(76,1),(117,1),(119,1)}
        92:{1,3,6}:{(66,1),(69,1),(120,1),(124,1),(209,1)}
        93:{1,2,5,7}:{(66,1),(67,1),(79,1),(115,1),(120,1),(121,1),(161,1)}
        94:{2,3,5}:{(67,1),(72,1),(80,1),(116,1),(122,1),(132,1)}
        95:{1,5,6}:{(68,1),(69,1),(81,1)}
        96:{2,5,6}:{(68,1),(70,1),(82,1)}
        97:{1,2,4,6}:{(69,1),(70,1),(71,1),(73,1),(120,1),(123,1),(124,1),(126,1),(137,1),(166,1),(167,1),(173,1),(198,1),(209,1)}
        98:{3,5,7}:{(71,1),(72,1),(84,1),(124,1),(125,1),(168,1),(170,1),(191,1)}
        99:{3,4}:{(72,1),(75,1),(122,1)}
       100:{1,3,6}:{(73,1),(74,1),(124,1),(126,1),(209,1)}
       101:{1,4,7}:{(74,1),(75,1),(125,1),(126,1),(207,1)}
       102:{3,4,7}:{(76,1),(117,1),(127,1),(128,1),(170,1)}
       103:{1,3,5,7}:{(76,1),(77,1),(81,1),(118,1),(127,1),(129,1),(133,1),(170,1)}
       104:{2,5,7}:{(76,1),(78,1),(119,1),(128,1)}
       105:{1,2,6,7}:{(77,1),(78,1),(79,1),(120,1),(129,1),(130,1),(209,1)}
       106:{2,3,7}:{(79,1),(80,1),(84,1),(131,1)}
       107:{2,4,6}:{(80,1),(85,1),(122,1),(131,1),(132,1),(173,1)}
       108:{1,2,5,7}:{(81,1),(82,1),(83,1),(123,1),(133,1),(136,1),(172,1)}
       109:{3,6,7}:{(83,1),(84,1),(124,1),(133,1),(170,1)}
       110:{3,4,7}:{(84,1),(85,1),(87,1),(131,1),(135,1)}
       111:{3,5}:{(85,1),(88,1),(132,1)}
       112:{1,4,6,7}:{(86,1),(87,1),(126,1),(134,1),(136,1),(137,1),(196,1),(209,1)}
       113:{1,4,5,7}:{(87,1),(88,1),(135,1),(136,1),(137,1),(174,1)}
       114:{1,3,4,6}:{(89,1),(92,1),(139,1),(140,1),(142,1),(148,1),(180,1),(201,1),(202,1)}
       115:{1,2,4,7}:{(89,1),(90,1),(93,1),(140,1),(141,1),(146,1)}
       116:{2,3}:{(90,1)}
       117:{3,4,6}:{(91,1),(102,1),(138,1),(142,1),(143,1),(180,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(95,1),(103,1),(139,1),(142,1),(144,1),(147,1),(180,1)}
       119:{2,5,6}:{(91,1),(104,1),(143,1)}
       120:{1,2,6}:{(92,1),(93,1),(145,1)}
       121:{2,3,5,7}:{(93,1),(94,1),(98,1),(106,1),(141,1),(145,1),(146,1),(154,1),(178,1),(182,1)}
       122:{2,4}:{(94,1),(99,1)}
       123:{1,2,5,6}:{(95,1),(96,1),(97,1),(108,1),(147,1),(149,1),(158,1),(182,1),(187,1)}
       124:{3,6}:{(97,1),(98,1)}
       125:{3,4,7}:{(98,1),(99,1),(101,1),(146,1),(148,1),(155,1),(201,1)}
       126:{1,4,6}:{(100,1),(101,1),(148,1),(149,1)}
       127:{1,4,7}:{(102,1),(103,1),(142,1),(155,1)}
       128:{2,4,7}:{(102,1),(104,1),(143,1),(150,1)}
       129:{1,2,5,7}:{(103,1),(104,1),(105,1),(144,1),(151,1),(152,1),(204,1)}
       130:{2,3,6,7}:{(105,1),(106,1),(109,1),(145,1),(152,1),(153,1),(205,1)}
       131:{2,4,7}:{(106,1),(107,1),(110,1),(154,1)}
       132:{2,5}:{(107,1),(111,1)}
       133:{3,5,7}:{(108,1),(109,1),(147,1),(155,1)}
       134:{3,4,6,7}:{(109,1),(110,1),(112,1),(148,1),(153,1),(155,1),(156,1),(157,1),(185,1),(188,1),(205,1)}
       135:{3,5,7}:{(110,1),(111,1),(113,1),(154,1),(157,1)}
       136:{1,5,7}:{(112,1),(149,1),(156,1),(158,1)}
       137:{1,4,6}:{(113,1),(157,1),(158,1),(188,1)}
       138:{3,4,5}:{(117,1),(159,1),(160,1),(191,1)}
       139:{1,3,5}:{(114,1),(159,1),(161,1),(168,1),(191,1),(208,1)}
       140:{1,2,4,6}:{(114,1),(115,1),(120,1),(161,1),(162,1),(166,1),(192,1)}
       141:{2,3,7}:{(115,1),(116,1),(162,1),(170,1)}
       142:{1,4,6}:{(117,1),(118,1),(127,1),(159,1),(167,1)}
       143:{2,4,6}:{(117,1),(119,1),(128,1),(160,1),(163,1)}
       144:{1,2,5,6}:{(118,1),(119,1),(120,1),(129,1),(161,1),(164,1),(165,1),(208,1),(209,1)}
       145:{2,3,6}:{(120,1),(121,1),(124,1),(166,1),(173,1)}
       146:{2,4,7}:{(121,1),(122,1),(125,1),(166,1),(192,1)}
       147:{3,5,6}:{(123,1),(124,1),(133,1),(167,1),(168,1)}
       148:{3,4,6}:{(124,1),(125,1),(126,1),(166,1),(167,1),(168,1)}
       149:{1,5}:{(126,1),(168,1)}
       150:{2,3,7}:{(128,1),(163,1),(169,1),(170,1)}
       151:{1,2,4,7}:{(127,1),(128,1),(129,1),(164,1),(169,1),(170,1),(171,1),(196,1)}
       152:{2,3,5,7}:{(129,1),(130,1),(133,1),(165,1),(170,1),(171,1),(172,1),(197,1)}
       153:{2,4,6,7}:{(130,1),(131,1),(134,1),(166,1),(171,1),(172,1),(173,1),(198,1)}
       154:{2,5,7}:{(131,1),(132,1),(135,1),(173,1)}
       155:{4,7}:{(133,1),(167,1)}
       156:{3,5,7}:{(134,1),(136,1),(168,1),(172,1),(174,1),(175,1)}
       157:{3,6}:{(135,1),(137,1),(173,1)}
       158:{1,5,6}:{(136,1),(137,1),(175,1),(209,1)}
       159:{1,4,5}:{(138,1),(139,1),(142,1),(183,1)}
       160:{2,4,5}:{(138,1),(143,1),(176,1)}
       161:{1,2,5}:{(139,1),(140,1),(178,1),(182,1)}
       162:{2,3,6}:{(140,1),(141,1),(178,1),(180,1)}
       163:{2,3,6}:{(143,1),(150,1),(176,1),(179,1),(180,1)}
       164:{1,2,4,6}:{(142,1),(143,1),(144,1),(151,1),(177,1),(179,1),(180,1),(181,1),(202,1)}
       165:{2,3,5,6}:{(144,1),(145,1),(147,1),(152,1),(178,1),(180,1),(181,1),(182,1),(187,1),(203,1),(205,1)}
       166:{2,4,6}:{(145,1),(146,1),(148,1),(182,1)}
       167:{4,6}:{(147,1),(155,1),(183,1)}
       168:{3,5}:{(148,1),(149,1),(182,1),(183,1)}
       169:{1,2,7}:{(150,1),(179,1),(184,1)}
       170:{3,7}:{(151,1),(180,1)}
       171:{2,4,7}:{(152,1),(155,1),(181,1),(185,1)}
       172:{2,5,7}:{(153,1),(156,1),(182,1),(187,1)}
       173:{2,6}:{(154,1),(157,1)}
       174:{4,5,7}:{(155,1),(156,1),(183,1),(188,1)}
       175:{3,5,6}:{(156,1),(157,1),(158,1),(187,1),(188,1),(205,1)}
       176:{2,3,5}:{(160,1),(163,1),(189,1),(190,1),(191,1)}
       177:{1,2,4,5}:{(159,1),(160,1),(161,1),(164,1),(190,1),(191,1),(192,1),(195,1),(207,1),(208,1)}
       178:{2,3,5}:{(161,1),(162,1),(191,1),(192,1)}
       179:{1,2,6}:{(163,1),(169,1),(190,1),(193,1)}
       180:{3,6}:{(164,1),(170,1),(191,1)}
       181:{2,4,6}:{(165,1),(167,1),(171,1),(192,1),(194,1),(195,1)}
       182:{2,5}:{(166,1),(168,1)}
       183:{4,5}:{(167,1),(168,1)}
       184:{1,3,7}:{(169,1),(170,1),(193,1),(196,1)}
       185:{3,4,7}:{(170,1),(171,1),(194,1),(196,1),(197,1)}
       186:{2,4,5,7}:{(171,1),(172,1),(174,1),(195,1),(197,1),(198,1)}
       187:{2,5,6}:{(172,1),(173,1),(175,1),(198,1)}
       188:{4,6}:{(174,1),(175,1)}
       189:{2,3,4}:{(176,1),(199,1),(201,1)}
       190:{1,2,5}:{(176,1),(179,1),(199,1),(200,1)}
       191:{3,5}:{(177,1),(180,1),(201,1)}
       192:{2,4}:{(178,1),(201,1)}
       193:{1,3,6}:{(179,1),(180,1),(184,1),(200,1),(202,1)}
       194:{3,4,6}:{(180,1),(181,1),(185,1),(201,1),(202,1),(203,1),(205,1)}
       195:{2,4,5}:{(181,1),(182,1),(183,1),(203,1)}
       196:{1,4,7}:{(184,1),(185,1),(202,1),(204,1)}
       197:{3,5,7}:{(185,1),(186,1),(203,1),(204,1),(205,1)}
       198:{2,4,6}:{(186,1),(187,1),(188,1),(205,1)}
       199:{1,2,4}:{(189,1),(190,1),(206,1),(207,1)}
       200:{1,3,5}:{(190,1),(191,1),(193,1),(206,1),(207,1),(208,1)}
       201:{3,4}:{(191,1),(192,1),(207,1)}
       202:{1,4,6}:{(193,1),(194,1),(196,1),(207,1),(208,1),(209,1)}
       203:{3,5}:{(194,1),(195,1),(208,1)}
       204:{1,5,7}:{(196,1),(197,1),(208,1),(209,1)}
       205:{3,6}:{(197,1),(198,1),(209,1)}
       206:{1,3}:{(199,1)}
       207:{1,4}:{(200,1),(201,1)}
       208:{1,5}:{(202,1),(203,1)}
       209:{1,6}:{(204,1),(205,1)}

 801 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(21,1),(160,1),(172,1),(208,1)}
         1:{1,3,4,5}:{(5,1),(6,1),(60,1),(68,1),(115,1)}
         2:{1,4,5,6}:{(0,1),(7,1),(10,1),(144,1),(198,1)}
         3:{2,4,5,6}:{(0,1),(8,1),(11,1),(181,1),(217,1)}
         4:{3,4,5,7}:{(0,1),(10,1),(11,1),(12,1),(40,1),(143,1)}
         5:{1,3,4,6}:{(1,1),(7,1),(13,1),(14,1),(39,1)}
         6:{1,2,4,5}:{(1,1),(13,1),(15,1),(48,1),(77,1),(88,1)}
         7:{1,3,5,6}:{(2,1),(5,1),(17,1),(18,1),(21,1),(115,1),(176,1)}
         8:{2,3,5,6}:{(3,1),(16,1),(19,1),(20,1),(21,1),(154,1),(205,1)}
         9:{1,2,4,5,6}:{(2,1),(3,1),(17,1),(19,1),(21,1),(22,1),(54,1),(57,1),(102,1),(165,1),(168,1),(170,1),(172,1)}
        10:{1,4,5,7}:{(2,1),(4,1),(18,1),(23,1)}
        11:{2,4,5,7}:{(3,1),(4,1),(20,1),(24,1)}
        12:{3,4,6,7}:{(4,1),(23,1),(24,1),(25,1),(62,1),(114,1),(208,1)}
        13:{1,2,4,6}:{(5,1),(6,1),(17,1),(26,1),(27,1),(54,1)}
        14:{1,3,4,7}:{(5,1),(18,1),(27,1),(61,1)}
        15:{2,3,5}:{(6,1),(26,1),(29,1)}
        16:{2,3,4,6}:{(8,1),(30,1),(31,1),(32,1),(39,1)}
        17:{1,2,5,6}:{(7,1),(13,1),(33,1),(34,1),(88,1),(148,1)}
        18:{1,3,5,7}:{(7,1),(10,1),(14,1),(34,1),(35,1),(40,1)}
        19:{1,2,5,6}:{(8,1),(31,1),(36,1),(37,1),(126,1),(185,1)}
        20:{2,3,5,7}:{(8,1),(11,1),(32,1),(37,1),(38,1),(40,1)}
        21:{3,5,6}:{(9,1),(39,1),(40,1),(130,1),(190,1)}
        22:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(34,1),(37,1),(40,1),(41,1),(78,1),(81,1),(137,1),(140,1),(143,1)}
        23:{1,4,6,7}:{(10,1),(12,1),(35,1),(42,1),(198,1)}
        24:{2,4,6,7}:{(11,1),(12,1),(38,1),(43,1),(217,1)}
        25:{3,5,6,7}:{(12,1),(42,1),(43,1),(44,1),(220,1)}
        26:{2,3,6}:{(13,1),(15,1),(47,1)}
        27:{1,2,4,7}:{(13,1),(14,1),(34,1),(47,1),(78,1)}
        28:{1,2,3,5}:{(15,1),(45,1),(48,1),(88,1),(92,1)}
        29:{2,3,4}:{(15,1),(48,1)}
        30:{2,3,4,5}:{(16,1),(50,1),(60,1),(151,1),(154,1)}
        31:{1,2,4,6}:{(16,1),(19,1),(50,1),(51,1),(52,1),(57,1)}
        32:{2,3,4,7}:{(16,1),(20,1),(52,1),(61,1)}
        33:{2,3,5,6}:{(17,1),(21,1),(26,1),(54,1),(55,1),(66,1),(120,1),(168,1)}
        34:{1,2,5,7}:{(17,1),(18,1),(27,1),(55,1),(56,1)}
        35:{1,3,6,7}:{(18,1),(23,1),(56,1),(62,1),(176,1)}
        36:{1,3,5,6}:{(19,1),(21,1),(51,1),(57,1),(58,1),(99,1),(159,1),(170,1)}
        37:{1,2,5,7}:{(19,1),(20,1),(52,1),(58,1),(59,1)}
        38:{2,3,6,7}:{(20,1),(24,1),(59,1),(62,1),(205,1)}
        39:{3,4,6}:{(21,1),(54,1),(57,1),(60,1),(61,1)}
        40:{3,5,7}:{(21,1),(22,1),(61,1),(62,1)}
        41:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(56,1),(59,1),(62,1),(63,1),(107,1),(110,1),(114,1),(165,1)}
        42:{1,5,6,7}:{(23,1),(25,1),(214,1)}
        43:{2,5,6,7}:{(24,1),(25,1),(225,1)}
        44:{4,5,6,7}:{(25,1),(114,1),(227,1)}
        45:{1,2,3,6}:{(26,1),(28,1),(64,1),(65,1),(121,1)}
        46:{2,3,4,6}:{(26,1),(29,1),(54,1),(64,1),(66,1),(67,1),(101,1),(120,1)}
        47:{2,3,7}:{(26,1),(27,1)}
        48:{1,2,4}:{(28,1),(29,1),(68,1)}
        49:{2,3,4,5}:{(29,1),(66,1),(69,1),(70,1),(160,1)}
        50:{1,2,4,5}:{(30,1),(31,1),(71,1),(80,1),(123,1),(126,1)}
        51:{1,3,6}:{(31,1),(71,1),(74,1)}
        52:{1,2,4,7}:{(31,1),(32,1),(37,1),(74,1),(81,1)}
        53:{1,2,3,5,6}:{(33,1),(36,1),(45,1),(72,1),(75,1),(76,1),(88,1),(126,1),(130,1),(145,1),(148,1),(182,1),(185,1),(190,1),(193,1)}
        54:{2,4,6}:{(33,1),(39,1),(77,1),(78,1)}
        55:{2,3,5,7}:{(33,1),(34,1),(40,1),(47,1),(78,1),(79,1),(137,1)}
        56:{1,2,6,7}:{(34,1),(35,1),(79,1),(148,1)}
        57:{1,4,6}:{(36,1),(39,1),(80,1),(81,1)}
        58:{1,3,5,7}:{(36,1),(37,1),(40,1),(74,1),(81,1),(82,1),(140,1)}
        59:{1,2,6,7}:{(37,1),(38,1),(82,1),(185,1)}
        60:{3,4,5}:{(39,1),(77,1),(80,1),(130,1)}
        61:{3,4,7}:{(39,1),(40,1),(78,1),(81,1)}
        62:{3,6,7}:{(40,1),(41,1),(190,1)}
        63:{1,2,5,6,7}:{(41,1),(42,1),(43,1),(86,1),(137,1),(140,1),(193,1)}
        64:{1,2,4,6}:{(45,1),(46,1),(48,1),(87,1),(88,1),(89,1),(148,1)}
        65:{1,2,3,7}:{(45,1),(47,1),(89,1),(150,1)}
        66:{2,3,5}:{(46,1),(77,1),(88,1),(130,1)}
        67:{2,3,4,7}:{(46,1),(47,1),(78,1),(89,1),(91,1),(131,1)}
        68:{1,3,4}:{(48,1),(92,1)}
        69:{1,2,4,5}:{(48,1),(49,1),(88,1),(92,1),(93,1),(144,1)}
        70:{2,3,4,6}:{(49,1),(90,1),(93,1),(94,1),(187,1)}
        71:{1,3,5}:{(50,1),(51,1),(96,1)}
        72:{1,2,3,6}:{(51,1),(95,1),(97,1),(98,1),(200,1)}
        73:{1,3,4,6}:{(51,1),(57,1),(96,1),(97,1),(99,1),(100,1),(101,1),(159,1)}
        74:{1,3,7}:{(51,1),(52,1)}
        75:{1,2,4,6}:{(53,1),(54,1),(57,1),(101,1),(102,1),(103,1),(173,1),(202,1)}
        76:{1,2,3,5,7}:{(53,1),(55,1),(58,1),(65,1),(98,1),(103,1),(104,1),(118,1),(157,1),(162,1),(166,1),(175,1),(204,1)}
        77:{2,4,5}:{(54,1),(60,1),(66,1)}
        78:{2,4,7}:{(54,1),(55,1),(61,1)}
        79:{2,3,6,7}:{(55,1),(56,1),(62,1),(107,1),(120,1)}
        80:{1,4,5}:{(57,1),(60,1),(99,1)}
        81:{1,4,7}:{(57,1),(58,1),(61,1)}
        82:{1,3,6,7}:{(58,1),(59,1),(62,1),(110,1),(159,1)}
        83:{3,4,5,6}:{(60,1),(105,1),(108,1),(111,1),(112,1),(161,1),(227,1)}
        84:{3,4,5,7}:{(60,1),(61,1),(106,1),(109,1),(112,1),(113,1),(162,1),(211,1)}
        85:{3,4,6,7}:{(61,1),(62,1),(107,1),(110,1),(112,1),(113,1),(114,1)}
        86:{3,5,6,7}:{(62,1),(63,1),(113,1),(114,1),(210,1)}
        87:{1,3,4,6}:{(64,1),(68,1),(101,1),(115,1),(116,1),(121,1),(173,1),(176,1)}
        88:{1,2,5}:{(64,1),(66,1),(115,1)}
        89:{1,2,4,7}:{(64,1),(65,1),(67,1),(116,1),(118,1)}
        90:{2,3,5,6}:{(66,1),(70,1),(105,1),(117,1),(119,1),(120,1),(161,1)}
        91:{2,3,5,7}:{(66,1),(67,1),(106,1),(118,1),(120,1),(162,1)}
        92:{1,3,5}:{(68,1),(69,1),(121,1)}
        93:{1,2,4,6}:{(69,1),(70,1),(117,1),(121,1),(122,1),(173,1)}
        94:{2,3,4,7}:{(70,1),(119,1),(122,1),(207,1)}
        95:{1,2,3,5}:{(71,1),(72,1),(123,1),(126,1),(178,1)}
        96:{1,3,4}:{(71,1),(123,1)}
        97:{1,2,4,6}:{(72,1),(73,1),(123,1),(125,1),(126,1),(127,1),(185,1)}
        98:{1,2,3,7}:{(72,1),(74,1),(127,1),(215,1)}
        99:{1,3,5}:{(73,1),(80,1),(126,1),(130,1)}
       100:{1,3,4,7}:{(73,1),(74,1),(81,1),(127,1),(129,1),(131,1)}
       101:{3,4,6}:{(75,1),(130,1),(131,1),(190,1)}
       102:{1,2,4,5}:{(75,1),(77,1),(80,1),(88,1),(126,1),(130,1),(144,1),(181,1)}
       103:{1,2,4,7}:{(75,1),(76,1),(78,1),(81,1),(131,1),(197,1),(216,1)}
       104:{1,2,3,6,7}:{(76,1),(79,1),(82,1),(134,1),(148,1),(185,1),(190,1),(199,1),(218,1)}
       105:{2,4,5,6}:{(77,1),(83,1),(90,1),(135,1),(136,1)}
       106:{2,4,5,7}:{(77,1),(78,1),(84,1),(91,1),(136,1),(137,1)}
       107:{2,4,6,7}:{(78,1),(79,1),(85,1),(136,1),(137,1)}
       108:{1,4,5,6}:{(80,1),(83,1),(128,1),(138,1),(139,1)}
       109:{1,4,5,7}:{(80,1),(81,1),(84,1),(129,1),(139,1),(140,1)}
       110:{1,4,6,7}:{(81,1),(82,1),(85,1),(139,1),(140,1)}
       111:{3,4,5,7}:{(83,1),(135,1),(138,1),(141,1),(189,1),(230,1)}
       112:{3,4,6}:{(84,1),(136,1),(139,1),(142,1),(190,1),(222,1)}
       113:{3,5,7}:{(85,1),(137,1),(140,1),(142,1),(143,1)}
       114:{4,6,7}:{(86,1),(143,1),(222,1)}
       115:{1,3,5}:{(87,1),(88,1),(130,1),(144,1)}
       116:{1,3,4,7}:{(87,1),(89,1),(131,1),(146,1),(150,1),(197,1)}
       117:{1,2,5,6}:{(88,1),(90,1),(93,1),(145,1),(147,1),(148,1)}
       118:{1,2,5,7}:{(88,1),(89,1),(91,1),(146,1),(148,1)}
       119:{2,3,5,7}:{(90,1),(94,1),(135,1),(147,1),(149,1),(189,1)}
       120:{2,3,6}:{(91,1),(136,1),(148,1),(190,1)}
       121:{1,3,6}:{(92,1),(93,1),(150,1)}
       122:{1,2,4,7}:{(93,1),(94,1),(147,1),(150,1),(197,1)}
       123:{1,2,4}:{(95,1),(96,1),(151,1)}
       124:{1,3,4,5}:{(96,1),(99,1),(152,1),(153,1),(160,1)}
       125:{2,3,4,6}:{(97,1),(101,1),(151,1),(154,1),(155,1),(200,1),(202,1),(205,1)}
       126:{1,2,5}:{(97,1),(99,1),(154,1)}
       127:{1,2,4,7}:{(97,1),(98,1),(100,1),(155,1),(157,1)}
       128:{1,3,5,6}:{(99,1),(108,1),(153,1),(156,1),(158,1),(159,1),(161,1)}
       129:{1,3,5,7}:{(99,1),(100,1),(109,1),(157,1),(159,1),(162,1)}
       130:{3,5}:{(101,1),(102,1)}
       131:{3,4,7}:{(101,1),(103,1),(162,1)}
       132:{1,2,4,5,6}:{(102,1),(105,1),(108,1),(117,1),(156,1),(161,1),(164,1),(165,1),(173,1),(202,1),(214,1),(225,1),(227,1)}
       133:{1,2,4,5,7}:{(102,1),(103,1),(106,1),(109,1),(118,1),(157,1),(162,1),(165,1),(166,1),(174,1),(203,1),(211,1)}
       134:{1,2,4,6,7}:{(103,1),(104,1),(107,1),(110,1),(163,1),(165,1),(166,1),(213,1),(224,1)}
       135:{2,4,5,7}:{(105,1),(111,1),(119,1),(167,1)}
       136:{2,4,6}:{(106,1),(112,1),(120,1),(168,1)}
       137:{2,5,7}:{(107,1),(113,1),(168,1)}
       138:{1,4,5,7}:{(108,1),(111,1),(158,1),(169,1)}
       139:{1,4,6}:{(109,1),(112,1),(159,1),(170,1)}
       140:{1,5,7}:{(110,1),(113,1),(170,1)}
       141:{3,4,6,7}:{(111,1),(112,1),(167,1),(169,1),(171,1),(209,1),(228,1)}
       142:{3,5,6}:{(112,1),(113,1),(168,1),(170,1),(172,1)}
       143:{4,5,7}:{(113,1),(114,1),(172,1)}
       144:{1,4,5}:{(115,1),(160,1),(173,1)}
       145:{1,3,5,6}:{(115,1),(117,1),(121,1),(161,1),(173,1),(175,1),(176,1),(214,1)}
       146:{1,3,5,7}:{(115,1),(116,1),(118,1),(162,1),(174,1),(176,1)}
       147:{1,2,5,7}:{(117,1),(119,1),(122,1),(175,1),(177,1)}
       148:{1,2,6}:{(118,1),(120,1),(176,1)}
       149:{2,3,6,7}:{(119,1),(120,1),(167,1),(177,1),(209,1)}
       150:{1,3,7}:{(121,1),(122,1)}
       151:{2,3,4}:{(123,1),(178,1)}
       152:{1,2,4,5}:{(123,1),(124,1),(126,1),(178,1),(179,1),(181,1)}
       153:{1,3,4,6}:{(124,1),(128,1),(179,1),(180,1),(187,1)}
       154:{2,3,5}:{(125,1),(126,1),(130,1),(181,1)}
       155:{2,3,4,7}:{(125,1),(127,1),(131,1),(183,1),(215,1),(216,1)}
       156:{1,2,5,6}:{(126,1),(128,1),(179,1),(182,1),(184,1),(185,1)}
       157:{1,2,5,7}:{(126,1),(127,1),(129,1),(183,1),(185,1)}
       158:{1,3,5,7}:{(128,1),(138,1),(180,1),(184,1),(186,1),(189,1)}
       159:{1,3,6}:{(129,1),(139,1),(185,1),(190,1)}
       160:{3,4,5}:{(130,1),(144,1),(181,1),(187,1)}
       161:{3,5,6}:{(130,1),(132,1),(187,1),(189,1),(190,1)}
       162:{3,5,7}:{(130,1),(131,1),(133,1),(190,1)}
       163:{3,4,6,7}:{(131,1),(134,1),(190,1),(191,1),(222,1)}
       164:{1,2,4,5,7}:{(132,1),(135,1),(138,1),(147,1),(184,1),(189,1),(192,1),(197,1),(216,1),(223,1),(229,1),(230,1)}
       165:{1,2,4,6}:{(133,1),(136,1),(139,1),(148,1),(185,1),(190,1),(193,1),(198,1),(217,1),(222,1)}
       166:{1,2,5,7}:{(134,1),(137,1),(140,1),(191,1),(193,1),(223,1),(229,1)}
       167:{2,4,6,7}:{(135,1),(136,1),(141,1),(149,1),(194,1)}
       168:{2,5,6}:{(136,1),(137,1),(142,1)}
       169:{1,4,6,7}:{(138,1),(139,1),(141,1),(186,1),(195,1)}
       170:{1,5,6}:{(139,1),(140,1),(142,1)}
       171:{3,5,6,7}:{(141,1),(142,1),(194,1),(195,1),(196,1)}
       172:{4,5,6}:{(142,1),(143,1),(222,1)}
       173:{1,4,6}:{(144,1),(145,1),(187,1),(197,1)}
       174:{1,4,5,7}:{(144,1),(146,1),(188,1),(197,1),(198,1),(223,1)}
       175:{1,3,5,7}:{(145,1),(147,1),(150,1),(189,1),(197,1),(199,1),(223,1)}
       176:{1,3,6}:{(146,1),(148,1),(190,1),(198,1)}
       177:{1,2,6,7}:{(147,1),(148,1),(149,1),(199,1)}
       178:{2,3,5}:{(151,1),(152,1),(200,1)}
       179:{1,2,4,6}:{(152,1),(153,1),(156,1),(200,1),(201,1),(202,1)}
       180:{1,3,4,7}:{(153,1),(158,1),(201,1),(207,1)}
       181:{2,4,5}:{(154,1),(160,1),(202,1)}
       182:{2,3,5,6}:{(154,1),(156,1),(161,1),(200,1),(202,1),(204,1),(205,1),(225,1)}
       183:{2,3,5,7}:{(154,1),(155,1),(157,1),(162,1),(203,1),(205,1)}
       184:{1,2,5,7}:{(156,1),(158,1),(201,1),(204,1),(206,1)}
       185:{1,2,6}:{(157,1),(159,1),(205,1)}
       186:{1,3,6,7}:{(158,1),(159,1),(169,1),(206,1),(209,1)}
       187:{3,4,6}:{(160,1),(161,1),(173,1),(202,1),(207,1)}
       188:{3,4,5,7}:{(160,1),(162,1),(174,1),(203,1),(207,1),(208,1),(211,1),(226,1)}
       189:{3,5,7}:{(161,1),(164,1),(207,1),(209,1)}
       190:{3,6}:{(162,1),(165,1)}
       191:{3,5,7}:{(163,1),(166,1),(210,1),(211,1)}
       192:{1,2,4,6,7}:{(164,1),(165,1),(167,1),(169,1),(177,1),(206,1),(209,1),(212,1),(213,1),(224,1),(228,1)}
       193:{1,2,5,6}:{(165,1),(166,1),(168,1),(170,1),(210,1),(214,1),(225,1)}
       194:{2,5,6,7}:{(167,1),(168,1),(171,1)}
       195:{1,5,6,7}:{(169,1),(170,1),(171,1)}
       196:{4,5,6,7}:{(171,1),(172,1),(228,1)}
       197:{1,4,7}:{(173,1),(175,1),(207,1)}
       198:{1,4,6}:{(174,1),(176,1),(208,1),(214,1)}
       199:{1,3,6,7}:{(175,1),(176,1),(177,1),(209,1),(213,1)}
       200:{2,3,6}:{(178,1),(179,1),(215,1)}
       201:{1,2,4,7}:{(179,1),(180,1),(184,1),(215,1),(216,1)}
       202:{2,4,6}:{(181,1),(182,1),(187,1),(216,1)}
       203:{2,4,5,7}:{(181,1),(183,1),(188,1),(216,1),(217,1),(229,1)}
       204:{2,3,5,7}:{(182,1),(184,1),(189,1),(215,1),(216,1),(218,1),(229,1)}
       205:{2,3,6}:{(183,1),(185,1),(190,1),(217,1)}
       206:{1,2,6,7}:{(184,1),(185,1),(186,1),(218,1)}
       207:{3,4,7}:{(187,1),(189,1),(197,1),(216,1)}
       208:{3,4,6}:{(188,1),(190,1),(198,1),(217,1),(220,1),(222,1)}
       209:{3,6,7}:{(189,1),(190,1),(192,1)}
       210:{3,5,6}:{(190,1),(191,1),(193,1),(222,1)}
       211:{4,5,7}:{(191,1),(222,1)}
       212:{1,2,5,6,7}:{(192,1),(193,1),(194,1),(195,1),(221,1),(223,1),(229,1)}
       213:{1,4,6,7}:{(197,1),(198,1),(199,1),(219,1),(223,1)}
       214:{1,5,6}:{(198,1),(220,1),(223,1)}
       215:{2,3,7}:{(200,1),(201,1)}
       216:{2,4,7}:{(202,1),(204,1),(207,1)}
       217:{2,4,6}:{(203,1),(205,1),(208,1),(225,1)}
       218:{2,3,6,7}:{(204,1),(205,1),(206,1),(209,1),(224,1)}
       219:{3,4,6,7}:{(207,1),(208,1),(209,1),(213,1),(224,1),(226,1),(228,1)}
       220:{3,5,6}:{(208,1),(214,1),(225,1),(226,1),(227,1)}
       221:{3,5,6,7}:{(209,1),(210,1),(212,1),(226,1),(228,1)}
       222:{4,6}:{(210,1),(211,1)}
       223:{1,5,7}:{(213,1),(214,1),(226,1)}
       224:{2,4,6,7}:{(216,1),(217,1),(218,1),(219,1),(229,1)}
       225:{2,5,6}:{(217,1),(220,1),(229,1)}
       226:{3,5,7}:{(219,1),(220,1),(223,1),(229,1),(230,1)}
       227:{4,5,6}:{(220,1),(222,1),(230,1)}
       228:{4,6,7}:{(221,1),(222,1),(230,1)}
       229:{2,5,7}:{(224,1),(225,1),(226,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

 802 :   0:{1,4,5,7}:{(2,1),(3,1),(5,1),(13,1),(21,1),(36,1),(38,1)}
         1:{1,4,6,7}:{(3,1),(4,1),(5,1),(21,1)}
         2:{3,5,7}:{(0,1),(6,1),(8,1),(9,1),(26,1)}
         3:{1,4,6}:{(0,1),(9,1),(10,1),(30,1)}
         4:{3,6,7}:{(1,1),(9,1),(11,1),(12,1)}
         5:{1,5,7}:{(1,1),(10,1),(12,1),(53,1)}
         6:{3,4,7}:{(2,1),(13,1),(14,1),(15,1),(21,1),(34,1),(42,1)}
         7:{1,3,5,7}:{(2,1),(13,1),(16,1),(17,1),(34,1),(36,1),(60,1)}
         8:{2,5,7}:{(2,1),(14,1),(18,1),(37,1)}
         9:{3,6}:{(2,1),(3,1),(18,1)}
        10:{1,5,6}:{(3,1),(5,1),(19,1),(36,1),(64,1)}
        11:{2,6,7}:{(4,1),(18,1),(20,1)}
        12:{3,5,7}:{(4,1),(5,1),(19,1),(20,1),(21,1),(42,1)}
        13:{1,4,7}:{(6,1),(7,1),(24,1),(53,1),(72,1)}
        14:{2,4,7}:{(6,1),(8,1),(22,1),(25,1)}
        15:{3,4,6}:{(6,1),(9,1),(24,1),(25,1),(26,1),(30,1),(47,1),(52,1),(69,1),(72,1)}
        16:{1,2,5,7}:{(7,1),(8,1),(23,1),(27,1),(28,1),(48,1),(65,1)}
        17:{1,3,6}:{(7,1),(9,1),(24,1),(28,1),(47,1),(89,1)}
        18:{2,6}:{(8,1),(9,1)}
        19:{3,5,6}:{(9,1),(10,1),(12,1),(26,1),(29,1),(30,1),(52,1)}
        20:{2,5,7}:{(11,1),(12,1),(29,1),(31,1)}
        21:{4,7}:{(12,1),(30,1)}
        22:{2,3,7}:{(14,1),(32,1),(33,1),(34,1),(42,1)}
        23:{1,2,4,7}:{(13,1),(14,1),(16,1),(32,1),(34,1),(35,1),(39,1),(54,1)}
        24:{1,4,6}:{(13,1),(15,1),(17,1),(36,1),(64,1),(80,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(33,1),(37,1),(57,1)}
        26:{3,5}:{(15,1),(36,1),(37,1),(38,1)}
        27:{2,3,5,7}:{(16,1),(34,1),(39,1),(40,1),(58,1),(60,1),(63,1)}
        28:{1,2,6}:{(16,1),(17,1),(18,1),(40,1),(76,1),(97,1)}
        29:{2,5,6}:{(18,1),(19,1),(20,1),(37,1),(41,1)}
        30:{4,6}:{(19,1),(21,1),(38,1)}
        31:{2,4,7}:{(20,1),(21,1),(41,1),(42,1)}
        32:{1,2,7}:{(22,1),(43,1),(44,1),(53,1),(104,1)}
        33:{2,3,6}:{(22,1),(25,1),(44,1),(45,1),(47,1),(52,1)}
        34:{3,7}:{(23,1),(47,1)}
        35:{1,2,4,6}:{(23,1),(24,1),(25,1),(28,1),(44,1),(47,1),(48,1),(51,1),(66,1),(68,1),(72,1)}
        36:{1,5}:{(24,1),(26,1)}
        37:{2,5}:{(25,1),(26,1)}
        38:{4,5}:{(26,1),(30,1),(72,1)}
        39:{2,4,7}:{(27,1),(46,1),(51,1),(72,1),(104,1)}
        40:{2,3,6}:{(27,1),(28,1),(47,1),(51,1),(70,1),(90,1)}
        41:{2,4,6}:{(29,1),(30,1),(31,1),(49,1),(52,1)}
        42:{3,7}:{(31,1),(52,1),(53,1)}
        43:{1,3,7}:{(32,1),(34,1),(54,1),(55,1),(102,1)}
        44:{1,2,6}:{(32,1),(33,1),(55,1),(56,1),(64,1),(103,1)}
        45:{2,3,5}:{(33,1),(37,1),(56,1),(57,1),(60,1),(61,1),(79,1)}
        46:{3,4,7}:{(34,1),(39,1),(54,1),(58,1),(59,1),(98,1),(102,1)}
        47:{3,6}:{(34,1),(35,1),(60,1),(79,1)}
        48:{1,2,5}:{(35,1),(36,1),(37,1),(60,1),(63,1),(77,1)}
        49:{2,4,5}:{(37,1),(38,1),(41,1),(57,1),(61,1)}
        50:{2,4,5,7}:{(39,1),(58,1),(62,1),(63,1),(83,1),(84,1),(98,1)}
        51:{2,4,6}:{(39,1),(40,1),(59,1),(63,1),(96,1),(103,1)}
        52:{3,6}:{(41,1),(42,1),(61,1),(64,1)}
        53:{1,7}:{(42,1),(64,1)}
        54:{1,4,7}:{(43,1),(46,1),(65,1),(66,1)}
        55:{1,3,6}:{(43,1),(44,1),(47,1),(66,1),(67,1),(100,1)}
        56:{1,2,5}:{(44,1),(45,1),(67,1),(68,1),(73,1),(101,1)}
        57:{2,4}:{(45,1),(69,1),(72,1)}
        58:{3,5,7}:{(46,1),(50,1),(65,1),(70,1),(71,1)}
        59:{3,4,6}:{(46,1),(47,1),(51,1),(66,1),(70,1),(71,1),(72,1),(88,1),(92,1),(100,1)}
        60:{3,5}:{(47,1),(48,1),(72,1)}
        61:{3,5}:{(49,1),(52,1),(69,1),(73,1)}
        62:{2,4,6}:{(50,1),(70,1),(75,1),(92,1)}
        63:{2,5}:{(51,1),(71,1)}
        64:{1,6}:{(52,1),(53,1),(73,1)}
        65:{1,5,7}:{(54,1),(58,1),(76,1),(77,1)}
        66:{1,4,6}:{(54,1),(55,1),(59,1),(76,1),(77,1),(78,1)}
        67:{1,3,5}:{(55,1),(56,1),(60,1),(77,1),(78,1),(79,1),(95,1)}
        68:{1,2,4}:{(56,1),(57,1),(78,1),(79,1),(80,1),(96,1),(97,1)}
        69:{3,4}:{(57,1),(61,1),(79,1),(80,1)}
        70:{3,6}:{(58,1),(62,1),(76,1)}
        71:{3,5}:{(59,1),(63,1),(77,1),(83,1)}
        72:{4}:{(60,1)}
        73:{1,5}:{(61,1),(64,1),(80,1)}
        74:{2,4,6,7}:{(62,1),(81,1),(84,1),(98,1)}
        75:{2,5,6}:{(62,1),(63,1),(82,1),(84,1),(103,1)}
        76:{1,6}:{(65,1),(70,1)}
        77:{1,5}:{(66,1),(71,1)}
        78:{1,4}:{(67,1),(72,1),(88,1)}
        79:{3}:{(68,1)}
        80:{1,4}:{(69,1),(73,1),(89,1)}
        81:{3,6,7}:{(70,1),(74,1),(85,1),(91,1)}
        82:{3,5,6}:{(70,1),(71,1),(75,1),(86,1),(91,1),(92,1),(100,1)}
        83:{4,5}:{(71,1),(72,1),(92,1)}
        84:{2,5,7}:{(74,1),(75,1),(91,1),(104,1)}
        85:{1,6,7}:{(76,1),(81,1),(93,1)}
        86:{1,5,6}:{(76,1),(77,1),(82,1),(93,1),(94,1)}
        87:{1,4,5}:{(77,1),(78,1),(83,1),(94,1),(95,1)}
        88:{3,4}:{(78,1),(79,1),(95,1),(96,1)}
        89:{1,3}:{(79,1),(80,1),(97,1)}
        90:{2,3}:{(79,1),(96,1),(97,1)}
        91:{3,5,7}:{(81,1),(82,1),(84,1),(93,1),(98,1),(102,1)}
        92:{4,6}:{(82,1),(83,1),(98,1)}
        93:{1,5,7}:{(85,1),(86,1),(91,1),(99,1)}
        94:{1,4,6}:{(86,1),(87,1),(92,1),(99,1),(100,1)}
        95:{3,5}:{(87,1),(88,1),(100,1),(101,1)}
        96:{2,4}:{(88,1),(90,1),(101,1)}
        97:{1,2}:{(89,1),(90,1)}
        98:{4,7}:{(91,1),(92,1)}
        99:{1,4,7}:{(93,1),(94,1),(98,1),(102,1)}
       100:{3,6}:{(94,1),(95,1),(102,1),(103,1)}
       101:{2,5}:{(95,1),(96,1),(103,1)}
       102:{3,7}:{(99,1),(100,1),(104,1)}
       103:{2,6}:{(100,1),(101,1),(104,1)}
       104:{2,7}:{(102,1),(103,1)}

 803 :   0:{2,3,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(32,1),(36,1),(99,1)}
         1:{1,2,5,6,7}:{(0,1),(3,1),(4,1),(22,1),(44,1),(51,1),(54,1),(80,1)}
         2:{2,4,6,7}:{(0,1),(5,1),(6,1),(50,1),(53,1),(117,1)}
         3:{1,3,5,6,7}:{(1,1),(7,1),(9,1),(26,1),(31,1),(59,1),(74,1)}
         4:{1,2,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(12,1),(28,1),(33,1),(71,1),(73,1),(98,1)}
         5:{2,4,5,7}:{(2,1),(10,1),(11,1),(129,1)}
         6:{3,4,6,7}:{(2,1),(9,1),(11,1),(12,1),(30,1),(34,1),(128,1)}
         7:{1,4,6,7}:{(3,1),(14,1),(15,1),(49,1),(78,1),(94,1)}
         8:{1,2,4,5,7}:{(4,1),(5,1),(14,1),(16,1),(17,1),(22,1),(44,1),(49,1),(50,1),(51,1)}
         9:{3,6,7}:{(4,1),(17,1),(91,1),(93,1),(116,1)}
        10:{2,4,5,6}:{(5,1),(20,1),(53,1)}
        11:{3,5,7}:{(5,1),(6,1),(20,1),(22,1),(136,1)}
        12:{1,4,6,7}:{(6,1),(18,1),(22,1),(49,1),(52,1),(135,1)}
        13:{2,3,4,6,7}:{(6,1),(19,1),(23,1),(24,1),(50,1),(53,1),(87,1),(91,1),(93,1),(96,1),(125,1)}
        14:{1,4,5,7}:{(7,1),(25,1),(26,1),(113,1)}
        15:{3,4,6,7}:{(7,1),(9,1),(26,1),(28,1),(30,1),(58,1),(112,1)}
        16:{1,2,4,5,6}:{(8,1),(10,1),(25,1),(29,1),(35,1),(60,1),(66,1),(67,1),(68,1),(73,1),(98,1),(105,1),(113,1),(129,1),(134,1),(139,1)}
        17:{3,5,7}:{(8,1),(9,1),(29,1),(30,1)}
        18:{1,3,6,7}:{(9,1),(12,1),(31,1),(33,1),(72,1),(127,1)}
        19:{2,3,6,7}:{(9,1),(28,1),(32,1),(33,1),(97,1),(111,1)}
        20:{3,5,6}:{(10,1),(11,1),(34,1),(35,1)}
        21:{3,4,5,7}:{(11,1),(30,1),(34,1),(37,1),(38,1),(65,1),(76,1)}
        22:{1,5,7}:{(11,1),(12,1),(35,1),(139,1)}
        23:{2,3,5,7}:{(11,1),(13,1),(36,1),(38,1),(39,1),(76,1),(104,1),(134,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(33,1),(39,1),(40,1),(71,1),(73,1),(77,1),(107,1)}
        25:{1,4,5,6}:{(14,1),(41,1),(78,1)}
        26:{3,5,7}:{(14,1),(15,1),(41,1),(44,1),(126,1)}
        27:{1,3,4,6,7}:{(15,1),(18,1),(43,1),(45,1),(49,1),(78,1),(86,1),(91,1),(116,1),(119,1),(135,1)}
        28:{2,4,6,7}:{(15,1),(19,1),(44,1),(50,1),(79,1),(125,1)}
        29:{3,5,6}:{(16,1),(17,1),(46,1),(93,1),(116,1),(122,1),(126,1),(136,1)}
        30:{3,4,7}:{(17,1),(46,1),(49,1),(50,1),(91,1)}
        31:{1,3,5,7}:{(17,1),(18,1),(22,1),(47,1),(49,1),(51,1),(91,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(44,1),(48,1),(50,1),(51,1),(91,1)}
        33:{1,2,6,7}:{(18,1),(19,1),(51,1),(92,1),(115,1)}
        34:{3,4,6}:{(20,1),(21,1),(52,1),(53,1),(93,1)}
        35:{1,5,6}:{(20,1),(22,1),(52,1)}
        36:{2,3,5,6}:{(20,1),(23,1),(53,1),(54,1),(93,1)}
        37:{1,4,5,7}:{(21,1),(22,1),(49,1),(52,1),(55,1),(84,1)}
        38:{2,4,5,7}:{(21,1),(23,1),(50,1),(53,1),(85,1)}
        39:{1,2,5,7}:{(22,1),(23,1),(24,1),(54,1),(57,1),(121,1)}
        40:{1,3,6,7}:{(24,1),(57,1),(91,1),(93,1),(124,1)}
        41:{3,5,6}:{(25,1),(26,1),(58,1),(60,1)}
        42:{3,4,5,7}:{(26,1),(30,1),(58,1),(61,1),(62,1),(65,1),(101,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(59,1),(61,1),(63,1),(101,1),(103,1),(139,1)}
        44:{2,5,7}:{(26,1),(28,1),(60,1),(134,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(33,1),(63,1),(64,1),(71,1),(98,1),(102,1),(106,1)}
        46:{3,4,6}:{(29,1),(30,1),(65,1),(66,1),(67,1),(108,1),(133,1)}
        47:{1,3,5,6}:{(29,1),(31,1),(35,1),(66,1),(68,1),(72,1),(103,1),(108,1),(127,1),(132,1),(139,1)}
        48:{2,3,5,6}:{(29,1),(32,1),(60,1),(67,1),(68,1),(97,1),(104,1),(108,1),(111,1),(131,1),(134,1)}
        49:{1,4,7}:{(30,1),(31,1),(66,1)}
        50:{2,4,7}:{(30,1),(32,1),(67,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(68,1),(71,1)}
        52:{1,4,6}:{(34,1),(35,1),(37,1),(72,1)}
        53:{2,4,6}:{(34,1),(36,1),(38,1)}
        54:{1,2,5,6}:{(35,1),(36,1),(39,1),(73,1),(74,1),(134,1)}
        55:{1,3,5,7}:{(37,1),(69,1),(72,1),(75,1),(76,1),(103,1)}
        56:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(71,1),(73,1),(75,1),(76,1),(77,1),(105,1),(113,1),(114,1),(134,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(74,1),(76,1),(77,1),(132,1)}
        58:{3,4,6}:{(41,1),(42,1),(78,1),(79,1),(116,1)}
        59:{1,3,5,6}:{(41,1),(43,1),(78,1),(80,1),(116,1)}
        60:{2,5,6}:{(41,1),(44,1),(79,1)}
        61:{1,4,5,7}:{(42,1),(43,1),(49,1),(78,1),(84,1)}
        62:{2,4,5,7}:{(42,1),(44,1),(50,1),(79,1),(81,1),(85,1)}
        63:{1,2,5,7}:{(43,1),(44,1),(45,1),(80,1),(83,1),(120,1)}
        64:{2,3,6,7}:{(45,1),(83,1),(91,1),(116,1),(123,1)}
        65:{3,4,5}:{(46,1),(84,1),(85,1),(122,1),(126,1),(136,1)}
        66:{1,4,6}:{(46,1),(47,1),(49,1),(84,1),(138,1)}
        67:{2,4,6}:{(46,1),(48,1),(50,1),(85,1),(137,1)}
        68:{1,2,5,6}:{(47,1),(48,1),(51,1),(88,1),(92,1),(115,1),(120,1),(121,1)}
        69:{1,3,4,7}:{(49,1),(55,1),(86,1),(89,1),(91,1),(96,1)}
        70:{2,3,4,7}:{(50,1),(81,1),(87,1),(90,1),(91,1),(119,1)}
        71:{1,2,4,7}:{(49,1),(50,1),(51,1),(88,1),(91,1)}
        72:{1,3,6}:{(52,1),(55,1),(92,1),(93,1)}
        73:{1,2,4,6}:{(52,1),(53,1),(54,1),(56,1),(92,1),(93,1),(94,1),(125,1)}
        74:{1,3,5,6}:{(54,1),(57,1),(93,1),(94,1),(126,1)}
        75:{1,2,5,7}:{(55,1),(89,1),(92,1),(95,1),(120,1)}
        76:{3,5,7}:{(56,1),(91,1),(93,1),(96,1),(122,1),(126,1)}
        77:{1,4,7}:{(57,1),(94,1),(96,1),(138,1)}
        78:{1,4,6}:{(58,1),(59,1),(61,1)}
        79:{2,4,6}:{(58,1),(60,1),(62,1),(97,1)}
        80:{1,2,5,6}:{(59,1),(60,1),(63,1),(98,1),(99,1),(139,1)}
        81:{2,3,5,7}:{(62,1),(70,1),(97,1),(100,1),(101,1),(104,1)}
        82:{1,2,4,5,7}:{(61,1),(62,1),(63,1),(71,1),(98,1),(100,1),(101,1),(102,1),(105,1),(129,1),(130,1),(139,1)}
        83:{2,3,5,7}:{(63,1),(64,1),(99,1),(101,1),(102,1),(131,1)}
        84:{1,4,5}:{(65,1),(66,1),(103,1),(139,1)}
        85:{2,4,5}:{(65,1),(67,1),(104,1),(134,1)}
        86:{1,3,4,6}:{(66,1),(69,1),(72,1),(103,1),(106,1),(108,1),(112,1),(133,1)}
        87:{2,3,4,6}:{(67,1),(70,1),(97,1),(104,1),(107,1),(108,1),(128,1),(133,1)}
        88:{1,2,4,6}:{(66,1),(67,1),(68,1),(71,1),(105,1),(108,1)}
        89:{1,2,4,7}:{(69,1),(75,1),(106,1),(109,1),(114,1)}
        90:{1,2,4,7}:{(70,1),(100,1),(107,1),(110,1),(130,1)}
        91:{3,7}:{(71,1),(108,1)}
        92:{1,2,6}:{(72,1),(75,1),(111,1)}
        93:{3,6}:{(73,1),(76,1)}
        94:{1,4,6}:{(74,1),(77,1),(112,1),(113,1)}
        95:{2,3,5,7}:{(75,1),(76,1),(109,1),(111,1),(114,1),(131,1),(134,1)}
        96:{3,4,7}:{(76,1),(77,1),(112,1),(114,1),(133,1)}
        97:{2,3,6}:{(79,1),(81,1),(115,1),(116,1)}
        98:{1,2,4,6}:{(78,1),(79,1),(80,1),(82,1),(115,1),(116,1),(117,1),(135,1)}
        99:{2,3,5,6}:{(80,1),(83,1),(116,1),(117,1),(136,1)}
       100:{1,2,5,7}:{(81,1),(90,1),(115,1),(118,1),(121,1)}
       101:{3,5,7}:{(82,1),(91,1),(116,1),(119,1),(122,1),(136,1)}
       102:{2,4,7}:{(83,1),(117,1),(119,1),(137,1)}
       103:{1,3,5}:{(84,1),(86,1),(120,1),(122,1),(126,1)}
       104:{2,3,5}:{(85,1),(87,1),(121,1),(122,1),(136,1)}
       105:{1,2,4,5}:{(84,1),(85,1),(88,1),(120,1),(121,1),(122,1),(137,1),(138,1)}
       106:{1,2,4,6}:{(86,1),(89,1),(92,1),(120,1),(123,1),(125,1),(137,1)}
       107:{1,2,4,6}:{(87,1),(90,1),(115,1),(121,1),(124,1),(135,1),(138,1)}
       108:{3,6}:{(88,1),(91,1),(122,1)}
       109:{2,3,7}:{(89,1),(91,1),(123,1)}
       110:{1,3,7}:{(90,1),(91,1),(124,1)}
       111:{2,3,6}:{(92,1),(93,1),(95,1),(125,1)}
       112:{3,4,6}:{(93,1),(94,1),(96,1),(125,1),(126,1)}
       113:{1,4,5}:{(94,1),(126,1)}
       114:{2,4,7}:{(95,1),(96,1),(125,1),(137,1)}
       115:{1,2,6}:{(97,1),(100,1),(127,1)}
       116:{3,6}:{(98,1),(101,1)}
       117:{2,4,6}:{(99,1),(102,1),(128,1),(129,1)}
       118:{1,3,5,7}:{(100,1),(101,1),(110,1),(127,1),(130,1),(132,1),(139,1)}
       119:{3,4,7}:{(101,1),(102,1),(128,1),(130,1),(133,1)}
       120:{1,2,5}:{(103,1),(106,1),(131,1),(134,1)}
       121:{1,2,5}:{(104,1),(107,1),(132,1),(139,1)}
       122:{3,5}:{(105,1),(108,1),(133,1)}
       123:{2,3,6}:{(106,1),(108,1),(109,1),(131,1)}
       124:{1,3,6}:{(107,1),(108,1),(110,1),(132,1)}
       125:{2,4,6}:{(111,1),(112,1),(114,1),(134,1)}
       126:{3,5}:{(112,1),(113,1),(134,1)}
       127:{1,3,6}:{(115,1),(116,1),(118,1),(135,1)}
       128:{3,4,6}:{(116,1),(117,1),(119,1),(135,1),(136,1)}
       129:{2,4,5}:{(117,1),(136,1)}
       130:{1,4,7}:{(118,1),(119,1),(135,1),(138,1)}
       131:{2,3,5}:{(120,1),(122,1),(123,1),(137,1)}
       132:{1,3,5}:{(121,1),(122,1),(124,1),(138,1)}
       133:{3,4}:{(122,1),(137,1),(138,1)}
       134:{2,5}:{(125,1),(126,1)}
       135:{1,4,6}:{(127,1),(128,1),(130,1),(139,1)}
       136:{3,5}:{(128,1),(129,1),(139,1)}
       137:{2,4}:{(131,1),(133,1)}
       138:{1,4}:{(132,1),(133,1)}
       139:{1,5}:{(135,1),(136,1)}

 804 :   0:{3,4,6,7}:{(3,1),(4,1),(5,1),(27,1),(28,1),(37,1),(68,1),(71,1),(72,1),(74,1),(125,1)}
         1:{2,3,6,7}:{(4,1),(6,1),(7,1),(28,1),(72,1),(123,1),(127,1)}
         2:{2,3,5,6}:{(7,1),(8,1),(9,1),(26,1),(33,1),(39,1),(69,1),(72,1),(80,1),(127,1),(161,1),(172,1)}
         3:{1,4,6,7}:{(0,1),(10,1),(13,1),(44,1),(46,1),(58,1),(100,1),(146,1)}
         4:{2,4,6,7}:{(0,1),(1,1),(14,1),(19,1),(47,1),(96,1),(99,1),(147,1)}
         5:{3,5,7}:{(0,1),(11,1),(13,1),(14,1),(15,1),(145,1)}
         6:{1,2,6,7}:{(1,1),(17,1),(18,1),(100,1),(144,1),(148,1),(151,1)}
         7:{2,3,5,7}:{(1,1),(2,1),(14,1),(18,1),(19,1),(49,1),(52,1),(57,1)}
         8:{1,2,5,6}:{(2,1),(18,1),(20,1),(21,1),(54,1),(100,1),(108,1),(113,1),(148,1),(151,1),(169,1)}
         9:{2,4,6}:{(2,1),(16,1),(19,1),(22,1),(97,1),(107,1),(174,1)}
        10:{1,3,6,7}:{(3,1),(23,1),(24,1),(28,1),(71,1),(84,1),(126,1)}
        11:{3,5,6}:{(5,1),(25,1),(26,1),(27,1),(71,1),(72,1)}
        12:{1,2,4,6,7}:{(3,1),(4,1),(6,1),(23,1),(28,1),(29,1),(34,1),(36,1),(65,1),(67,1),(70,1),(74,1),(162,1)}
        13:{1,5,7}:{(3,1),(5,1),(25,1),(160,1)}
        14:{2,5,7}:{(4,1),(5,1),(26,1),(161,1)}
        15:{4,5,7}:{(5,1),(27,1),(74,1),(124,1)}
        16:{2,4,5}:{(9,1),(33,1),(124,1),(161,1)}
        17:{1,3,6,7}:{(6,1),(28,1),(34,1),(35,1),(122,1),(126,1),(133,1)}
        18:{1,2,5,7}:{(6,1),(7,1),(8,1),(35,1),(36,1),(77,1),(134,1)}
        19:{2,4,7}:{(7,1),(9,1),(37,1),(74,1)}
        20:{1,3,5,6}:{(8,1),(35,1),(38,1),(39,1),(69,1),(79,1),(81,1),(86,1),(126,1),(133,1),(160,1),(172,1)}
        21:{1,2,4,6}:{(8,1),(9,1),(32,1),(36,1),(38,1),(39,1),(40,1),(87,1),(88,1),(132,1)}
        22:{3,4,6}:{(9,1),(33,1),(37,1),(39,1),(40,1),(72,1),(78,1)}
        23:{1,2,6,7}:{(10,1),(42,1),(43,1),(99,1),(112,1),(148,1),(168,1)}
        24:{1,3,5,7}:{(10,1),(13,1),(41,1),(43,1),(44,1),(49,1),(51,1),(95,1)}
        25:{1,5,6}:{(11,1),(13,1),(46,1),(100,1)}
        26:{2,5,6}:{(11,1),(14,1),(47,1),(99,1)}
        27:{4,6}:{(11,1),(15,1)}
        28:{3,6,7}:{(12,1),(49,1),(57,1),(95,1),(98,1),(170,1)}
        29:{1,2,5,7}:{(12,1),(13,1),(14,1),(45,1),(49,1),(55,1),(93,1),(169,1)}
        30:{1,4,5,7}:{(13,1),(15,1),(44,1),(46,1),(51,1),(89,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(16,1),(19,1),(47,1),(52,1)}
        32:{1,2,4,5}:{(16,1),(21,1),(53,1),(54,1),(59,1),(106,1),(107,1),(108,1),(113,1),(169,1),(174,1)}
        33:{3,5}:{(16,1),(22,1),(54,1)}
        34:{1,4,6,7}:{(17,1),(48,1),(55,1),(56,1),(109,1),(143,1),(146,1),(168,1)}
        35:{1,3,5,7}:{(17,1),(18,1),(20,1),(49,1),(55,1),(56,1),(57,1),(110,1)}
        36:{1,2,4,7}:{(18,1),(19,1),(21,1),(56,1),(57,1),(58,1),(111,1),(112,1)}
        37:{3,4,7}:{(19,1),(22,1),(52,1),(57,1),(58,1)}
        38:{1,4,6}:{(20,1),(56,1),(59,1),(60,1),(97,1),(106,1),(174,1)}
        39:{3,6}:{(21,1),(53,1),(57,1),(150,1)}
        40:{1,4,6}:{(22,1),(54,1),(58,1),(61,1),(100,1),(106,1)}
        41:{1,3,5,6}:{(24,1),(25,1),(63,1),(64,1),(69,1),(71,1),(115,1),(117,1),(126,1),(153,1),(160,1),(172,1)}
        42:{2,3,6,7}:{(23,1),(28,1),(65,1),(66,1),(85,1),(127,1),(158,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(63,1),(66,1),(67,1),(76,1),(159,1)}
        44:{1,4,7}:{(24,1),(64,1),(68,1),(74,1)}
        45:{1,2,5,6}:{(25,1),(26,1),(29,1),(69,1),(70,1),(81,1),(119,1),(160,1),(161,1)}
        46:{1,4,6}:{(25,1),(27,1),(30,1),(71,1)}
        47:{2,4,6}:{(26,1),(27,1),(31,1),(72,1)}
        48:{3,4,6,7}:{(28,1),(34,1),(65,1),(73,1),(74,1),(83,1),(121,1),(125,1),(128,1),(133,1),(158,1)}
        49:{3,5,7}:{(28,1),(29,1),(69,1),(74,1),(172,1)}
        50:{1,2,4,5,7}:{(29,1),(30,1),(31,1),(32,1),(36,1),(67,1),(70,1),(74,1),(75,1),(76,1),(77,1),(82,1),(114,1),(120,1),(124,1),(129,1),(130,1),(131,1),(134,1),(159,1),(160,1),(161,1)}
        51:{3,5,7}:{(30,1),(68,1),(71,1),(76,1),(115,1)}
        52:{3,5,7}:{(31,1),(33,1),(37,1),(72,1),(77,1)}
        53:{3,5}:{(32,1),(39,1),(78,1)}
        54:{1,5}:{(33,1),(40,1)}
        55:{1,5,7}:{(34,1),(73,1),(81,1),(160,1)}
        56:{1,4,7}:{(35,1),(38,1),(74,1),(83,1)}
        57:{3,7}:{(36,1),(39,1)}
        58:{1,4,7}:{(37,1),(40,1),(77,1),(84,1)}
        59:{1,4,5}:{(38,1),(86,1),(124,1),(160,1)}
        60:{3,4,6}:{(38,1),(39,1),(78,1),(83,1),(86,1),(87,1),(133,1)}
        61:{1,3,6}:{(39,1),(40,1),(79,1),(84,1),(88,1)}
        62:{2,3,6}:{(39,1),(80,1),(85,1),(87,1),(88,1)}
        63:{1,2,5,6}:{(41,1),(43,1),(90,1),(91,1),(99,1),(136,1),(148,1),(166,1),(167,1),(168,1),(169,1)}
        64:{1,4,6}:{(41,1),(44,1),(89,1),(92,1),(97,1),(164,1),(174,1)}
        65:{2,4,6,7}:{(42,1),(48,1),(93,1),(94,1),(111,1),(141,1),(147,1),(151,1)}
        66:{2,3,5,7}:{(42,1),(43,1),(49,1),(90,1),(93,1),(94,1),(95,1),(142,1)}
        67:{1,2,4,7}:{(43,1),(44,1),(91,1),(94,1),(95,1),(96,1),(143,1),(144,1)}
        68:{3,4,7}:{(44,1),(51,1),(92,1),(95,1),(96,1)}
        69:{3,5,6}:{(45,1),(49,1),(97,1),(98,1),(145,1)}
        70:{1,2,4,6}:{(45,1),(46,1),(47,1),(50,1),(97,1),(98,1),(99,1),(100,1),(109,1),(141,1),(146,1),(147,1),(148,1),(151,1),(168,1)}
        71:{3,6}:{(46,1),(51,1),(99,1)}
        72:{3,6}:{(47,1),(52,1),(100,1)}
        73:{3,5,7}:{(48,1),(55,1),(93,1),(101,1),(102,1),(145,1)}
        74:{4,7}:{(49,1),(97,1),(174,1)}
        75:{3,5,7}:{(50,1),(53,1),(57,1),(95,1),(98,1),(103,1),(135,1),(145,1)}
        76:{2,5,7}:{(51,1),(96,1),(99,1),(136,1)}
        77:{1,5,7}:{(52,1),(54,1),(58,1),(100,1)}
        78:{3,4}:{(53,1),(106,1),(107,1),(150,1),(174,1)}
        79:{1,3,5}:{(53,1),(54,1),(61,1),(106,1),(108,1),(150,1)}
        80:{2,3,5}:{(53,1),(62,1),(107,1),(108,1),(113,1),(150,1)}
        81:{1,5,6}:{(55,1),(101,1),(109,1),(168,1)}
        82:{1,4,5,7}:{(55,1),(56,1),(59,1),(102,1),(109,1),(110,1)}
        83:{3,4,7}:{(56,1),(57,1),(60,1),(110,1),(111,1)}
        84:{1,3,7}:{(57,1),(58,1),(61,1),(112,1)}
        85:{2,3,7}:{(57,1),(62,1),(111,1),(112,1)}
        86:{3,5}:{(59,1),(60,1),(113,1)}
        87:{2,4,6}:{(60,1),(62,1),(107,1),(111,1),(113,1),(151,1)}
        88:{1,2,6}:{(61,1),(62,1),(108,1),(112,1)}
        89:{1,4,5}:{(64,1),(115,1),(124,1),(160,1)}
        90:{2,3,5,6}:{(63,1),(66,1),(69,1),(116,1),(117,1),(119,1),(127,1),(154,1),(155,1),(158,1),(161,1),(172,1)}
        91:{1,2,4,6}:{(63,1),(64,1),(67,1),(114,1),(116,1),(117,1),(118,1),(156,1),(157,1),(171,1)}
        92:{3,4,6}:{(64,1),(68,1),(71,1),(115,1),(117,1),(118,1),(152,1)}
        93:{2,5,7}:{(65,1),(73,1),(119,1),(161,1)}
        94:{2,4,7}:{(66,1),(74,1),(116,1),(121,1)}
        95:{3,7}:{(67,1),(117,1)}
        96:{2,4,7}:{(68,1),(76,1),(118,1),(123,1)}
        97:{4,6}:{(69,1),(74,1),(124,1)}
        98:{3,6}:{(70,1),(75,1)}
        99:{2,6}:{(71,1),(76,1)}
       100:{1,6}:{(72,1),(77,1)}
       101:{3,5,6}:{(73,1),(81,1),(119,1),(128,1),(133,1),(158,1)}
       102:{4,5,7}:{(73,1),(74,1),(124,1),(128,1)}
       103:{3,4,7}:{(74,1),(75,1),(78,1),(125,1),(129,1),(130,1),(152,1),(163,1)}
       104:{1,3,5,7}:{(75,1),(77,1),(79,1),(84,1),(122,1),(126,1),(129,1),(131,1),(153,1),(159,1),(160,1),(163,1),(172,1)}
       105:{2,3,5,7}:{(75,1),(76,1),(80,1),(85,1),(123,1),(127,1),(130,1),(131,1),(134,1),(154,1),(161,1),(163,1),(172,1)}
       106:{1,4}:{(78,1),(79,1)}
       107:{2,4}:{(78,1),(80,1)}
       108:{1,2,5}:{(79,1),(80,1),(88,1),(132,1)}
       109:{1,4,6}:{(81,1),(82,1),(128,1),(133,1)}
       110:{3,5,7}:{(82,1),(83,1),(86,1),(133,1),(134,1)}
       111:{2,4,7}:{(83,1),(85,1),(87,1),(134,1)}
       112:{1,2,7}:{(84,1),(85,1),(88,1)}
       113:{2,5}:{(86,1),(87,1)}
       114:{1,2,4,5}:{(89,1),(91,1),(135,1),(136,1),(137,1),(164,1),(165,1),(166,1),(167,1),(169,1),(174,1)}
       115:{3,5}:{(89,1),(92,1),(136,1)}
       116:{2,4,6}:{(90,1),(94,1),(97,1),(137,1),(138,1),(165,1),(174,1)}
       117:{3,6}:{(91,1),(95,1),(135,1),(173,1)}
       118:{2,4,6}:{(92,1),(96,1),(99,1),(136,1),(140,1),(165,1)}
       119:{2,5,6}:{(93,1),(101,1),(141,1),(151,1)}
       120:{2,4,5,7}:{(93,1),(94,1),(102,1),(137,1),(141,1),(142,1)}
       121:{3,4,7}:{(94,1),(95,1),(138,1),(142,1),(143,1)}
       122:{1,3,7}:{(95,1),(139,1),(143,1),(144,1)}
       123:{2,3,7}:{(95,1),(96,1),(140,1),(144,1)}
       124:{4,5}:{(97,1),(145,1),(174,1)}
       125:{3,4,6}:{(97,1),(98,1),(103,1),(145,1),(146,1),(147,1),(170,1),(174,1)}
       126:{1,3,6}:{(98,1),(100,1),(104,1),(146,1),(148,1),(168,1),(170,1)}
       127:{2,3,6}:{(98,1),(99,1),(105,1),(147,1),(148,1),(151,1),(170,1)}
       128:{4,6}:{(101,1),(102,1)}
       129:{1,4,7}:{(103,1),(104,1),(106,1),(146,1),(164,1),(174,1)}
       130:{2,4,7}:{(103,1),(105,1),(107,1),(147,1),(165,1),(174,1)}
       131:{1,2,5,7}:{(104,1),(105,1),(108,1),(112,1),(144,1),(148,1),(149,1),(166,1),(169,1)}
       132:{1,2,4}:{(106,1),(107,1),(108,1),(150,1)}
       133:{3,6}:{(109,1),(110,1),(151,1)}
       134:{2,5,7}:{(110,1),(111,1),(113,1),(151,1)}
       135:{3,5}:{(114,1),(117,1),(152,1)}
       136:{2,5}:{(115,1),(118,1)}
       137:{2,4,5}:{(116,1),(124,1),(155,1),(161,1)}
       138:{3,4,6}:{(116,1),(117,1),(121,1),(152,1),(155,1),(156,1),(158,1)}
       139:{1,3,6}:{(117,1),(122,1),(153,1),(156,1),(157,1)}
       140:{2,3,6}:{(117,1),(118,1),(123,1),(154,1),(157,1)}
       141:{2,4,6}:{(119,1),(120,1),(128,1),(158,1)}
       142:{3,5,7}:{(120,1),(121,1),(155,1),(158,1),(159,1)}
       143:{1,4,7}:{(121,1),(122,1),(156,1),(159,1)}
       144:{1,2,7}:{(122,1),(123,1),(157,1)}
       145:{3,5}:{(124,1),(125,1),(160,1),(161,1)}
       146:{1,4,6}:{(125,1),(126,1),(129,1),(160,1)}
       147:{2,4,6}:{(125,1),(127,1),(130,1),(161,1)}
       148:{1,2,6}:{(126,1),(127,1),(131,1)}
       149:{1,2,4,7}:{(129,1),(130,1),(131,1),(132,1),(162,1),(163,1),(171,1)}
       150:{3}:{(132,1)}
       151:{2,6}:{(133,1),(134,1)}
       152:{3,4}:{(135,1),(164,1),(165,1),(173,1),(174,1)}
       153:{1,3,5}:{(135,1),(139,1),(164,1),(166,1),(167,1),(173,1)}
       154:{2,3,5}:{(135,1),(136,1),(140,1),(165,1),(166,1),(173,1)}
       155:{3,5}:{(137,1),(138,1),(167,1)}
       156:{1,4,6}:{(138,1),(139,1),(143,1),(164,1),(167,1),(168,1)}
       157:{1,2,6}:{(139,1),(140,1),(144,1),(166,1)}
       158:{3,6}:{(141,1),(142,1),(168,1)}
       159:{1,5,7}:{(142,1),(143,1),(167,1),(168,1)}
       160:{1,5}:{(145,1),(146,1)}
       161:{2,5}:{(145,1),(147,1)}
       162:{1,2,4,6}:{(146,1),(147,1),(148,1),(149,1),(169,1),(170,1),(174,1)}
       163:{3,7}:{(149,1),(150,1),(170,1),(173,1)}
       164:{1,4}:{(152,1),(153,1)}
       165:{2,4}:{(152,1),(154,1)}
       166:{1,2,5}:{(153,1),(154,1),(157,1),(171,1)}
       167:{1,5}:{(155,1),(156,1)}
       168:{1,6}:{(158,1),(159,1)}
       169:{1,2,5}:{(160,1),(161,1),(162,1),(172,1)}
       170:{3,6}:{(162,1),(163,1),(172,1)}
       171:{1,2,4}:{(164,1),(165,1),(166,1),(173,1)}
       172:{3,5}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{4}:{(172,1)}

 805 :   0:{1,3,5,6}:{(2,1),(3,1),(4,1),(18,1),(22,1),(50,1),(55,1),(56,1),(94,1),(96,1),(125,1),(150,1)}
         1:{2,3,5,6}:{(2,1),(5,1),(6,1),(20,1),(22,1),(51,1),(58,1),(59,1),(95,1),(96,1),(126,1),(150,1)}
         2:{1,2,5,6}:{(0,1),(1,1),(9,1),(10,1),(33,1),(36,1),(72,1),(77,1),(79,1),(112,1),(139,1)}
         3:{1,4,6}:{(0,1),(7,1),(11,1),(12,1),(69,1),(115,1),(159,1)}
         4:{1,3,5,7}:{(0,1),(10,1),(12,1),(13,1),(34,1),(41,1),(45,1),(84,1)}
         5:{2,4,6}:{(1,1),(8,1),(14,1),(15,1),(70,1),(115,1),(159,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(15,1),(16,1),(37,1),(41,1),(48,1),(84,1)}
         7:{1,4,5}:{(3,1),(18,1),(125,1),(127,1)}
         8:{2,4,5}:{(5,1),(20,1),(126,1),(127,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(5,1),(17,1),(22,1),(23,1),(25,1),(28,1),(60,1),(89,1)}
        10:{1,2,5,7}:{(2,1),(4,1),(6,1),(23,1),(24,1),(54,1),(57,1)}
        11:{3,4,6}:{(3,1),(18,1),(22,1),(25,1),(26,1),(49,1),(55,1)}
        12:{1,4,7}:{(3,1),(4,1),(26,1),(104,1)}
        13:{1,3,6,7}:{(4,1),(24,1),(27,1),(55,1),(63,1),(94,1),(157,1)}
        14:{3,4,6}:{(5,1),(20,1),(22,1),(28,1),(29,1),(49,1),(58,1)}
        15:{2,4,7}:{(5,1),(6,1),(29,1),(104,1)}
        16:{2,3,6,7}:{(6,1),(24,1),(30,1),(58,1),(63,1),(95,1),(158,1)}
        17:{1,2,4,5}:{(7,1),(8,1),(9,1),(31,1),(33,1),(36,1),(69,1),(70,1),(72,1),(139,1),(159,1)}
        18:{3,5}:{(7,1),(11,1),(33,1)}
        19:{1,4,5,7}:{(7,1),(12,1),(34,1),(35,1),(45,1),(86,1)}
        20:{3,5}:{(8,1),(14,1),(36,1)}
        21:{2,4,5,7}:{(8,1),(15,1),(37,1),(38,1),(48,1),(88,1)}
        22:{3,6}:{(9,1),(31,1),(41,1),(107,1)}
        23:{1,2,4,7}:{(9,1),(10,1),(12,1),(15,1),(41,1),(43,1),(46,1),(81,1)}
        24:{1,2,6,7}:{(10,1),(13,1),(16,1),(77,1),(79,1),(112,1),(165,1)}
        25:{2,4,6}:{(11,1),(33,1),(40,1),(43,1),(70,1),(77,1)}
        26:{3,4,7}:{(11,1),(12,1),(34,1),(41,1),(43,1)}
        27:{1,4,6,7}:{(12,1),(13,1),(35,1),(44,1),(45,1),(109,1),(145,1),(149,1)}
        28:{1,4,6}:{(14,1),(36,1),(39,1),(46,1),(69,1),(79,1)}
        29:{3,4,7}:{(14,1),(15,1),(37,1),(41,1),(46,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(38,1),(47,1),(48,1),(110,1),(146,1),(148,1)}
        31:{3,5}:{(17,1),(22,1),(49,1)}
        32:{1,2,4,5,7}:{(17,1),(19,1),(21,1),(23,1),(52,1),(53,1),(54,1),(57,1),(64,1),(90,1),(91,1),(93,1),(104,1),(105,1),(106,1),(125,1),(126,1),(127,1),(133,1),(136,1),(137,1),(151,1)}
        33:{2,5}:{(18,1),(25,1)}
        34:{3,5,7}:{(18,1),(19,1),(26,1),(54,1),(55,1)}
        35:{1,4,6}:{(19,1),(55,1),(56,1),(98,1)}
        36:{1,5}:{(20,1),(28,1)}
        37:{3,5,7}:{(20,1),(21,1),(29,1),(57,1),(58,1)}
        38:{2,4,6}:{(21,1),(58,1),(59,1),(100,1)}
        39:{1,3,6}:{(22,1),(28,1),(50,1),(60,1),(61,1)}
        40:{2,3,6}:{(22,1),(25,1),(51,1),(60,1),(62,1)}
        41:{3,7}:{(22,1),(23,1)}
        42:{1,2,4,6,7}:{(23,1),(24,1),(27,1),(30,1),(53,1),(63,1),(64,1),(65,1),(67,1),(101,1),(104,1),(124,1),(133,1)}
        43:{2,4,7}:{(25,1),(26,1),(54,1),(62,1)}
        44:{3,4,6,7}:{(26,1),(27,1),(55,1),(63,1),(65,1),(66,1),(92,1),(98,1),(104,1),(131,1),(135,1)}
        45:{1,5,7}:{(27,1),(56,1),(66,1),(125,1)}
        46:{1,4,7}:{(28,1),(29,1),(57,1),(61,1)}
        47:{3,4,6,7}:{(29,1),(30,1),(58,1),(63,1),(67,1),(68,1),(92,1),(100,1),(104,1),(132,1),(134,1)}
        48:{2,5,7}:{(30,1),(59,1),(68,1),(126,1)}
        49:{3,4}:{(31,1),(69,1),(70,1),(107,1),(159,1)}
        50:{1,3,5}:{(31,1),(36,1),(39,1),(69,1),(72,1),(107,1)}
        51:{2,3,5}:{(31,1),(33,1),(40,1),(70,1),(72,1),(107,1)}
        52:{3,5,7}:{(31,1),(32,1),(41,1),(71,1),(75,1),(111,1),(147,1),(160,1)}
        53:{1,2,4,6}:{(32,1),(35,1),(38,1),(75,1),(76,1),(77,1),(79,1),(109,1),(110,1),(112,1),(115,1),(116,1),(117,1),(145,1),(146,1)}
        54:{2,5,7}:{(33,1),(34,1),(43,1),(77,1)}
        55:{3,6}:{(34,1),(35,1),(77,1)}
        56:{1,5,6}:{(35,1),(45,1),(78,1),(145,1)}
        57:{1,5,7}:{(36,1),(37,1),(46,1),(79,1)}
        58:{3,6}:{(37,1),(38,1),(79,1)}
        59:{2,5,6}:{(38,1),(48,1),(80,1),(146,1)}
        60:{1,2,6}:{(39,1),(40,1),(72,1),(81,1)}
        61:{1,3,7}:{(39,1),(41,1),(46,1),(81,1)}
        62:{2,3,7}:{(40,1),(41,1),(43,1),(81,1)}
        63:{3,6,7}:{(41,1),(42,1),(75,1),(84,1),(138,1),(147,1)}
        64:{1,2,5,7}:{(42,1),(45,1),(48,1),(76,1),(84,1),(85,1),(87,1),(139,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(77,1),(83,1),(85,1),(110,1),(116,1),(120,1)}
        66:{3,5,7}:{(44,1),(45,1),(78,1),(85,1),(86,1),(111,1)}
        67:{1,4,6,7}:{(46,1),(47,1),(79,1),(82,1),(87,1),(109,1),(117,1),(119,1)}
        68:{3,5,7}:{(47,1),(48,1),(80,1),(87,1),(88,1),(111,1)}
        69:{1,4}:{(49,1),(50,1)}
        70:{2,4}:{(49,1),(51,1)}
        71:{3,4,7}:{(49,1),(52,1),(90,1),(91,1),(92,1),(104,1),(123,1),(166,1)}
        72:{1,2,5}:{(50,1),(51,1),(60,1),(89,1)}
        73:{1,3,5,7}:{(50,1),(52,1),(57,1),(61,1),(90,1),(93,1),(94,1),(123,1),(125,1),(136,1),(150,1),(157,1),(167,1)}
        74:{2,3,5,7}:{(51,1),(52,1),(54,1),(62,1),(91,1),(93,1),(95,1),(123,1),(126,1),(137,1),(150,1),(158,1),(168,1)}
        75:{3,6}:{(52,1),(53,1)}
        76:{1,2,5,6}:{(53,1),(56,1),(59,1),(64,1),(96,1),(97,1),(99,1),(125,1),(126,1)}
        77:{2,6}:{(54,1),(55,1)}
        78:{3,5,6}:{(55,1),(56,1),(66,1),(97,1),(98,1),(131,1)}
        79:{1,6}:{(57,1),(58,1)}
        80:{3,5,6}:{(58,1),(59,1),(68,1),(99,1),(100,1),(132,1)}
        81:{1,2,7}:{(60,1),(61,1),(62,1)}
        82:{1,3,6,7}:{(61,1),(63,1),(67,1),(94,1),(101,1),(102,1),(132,1)}
        83:{2,3,6,7}:{(62,1),(63,1),(65,1),(95,1),(101,1),(103,1),(131,1)}
        84:{3,5,7}:{(63,1),(64,1),(96,1),(104,1),(150,1)}
        85:{2,5,7}:{(65,1),(66,1),(97,1),(126,1)}
        86:{4,5,7}:{(66,1),(98,1),(104,1),(127,1)}
        87:{1,5,7}:{(67,1),(68,1),(99,1),(125,1)}
        88:{4,5,7}:{(68,1),(100,1),(104,1),(127,1)}
        89:{1,2,4}:{(69,1),(70,1),(72,1),(107,1)}
        90:{1,4,7}:{(69,1),(71,1),(73,1),(109,1),(159,1),(170,1)}
        91:{2,4,7}:{(70,1),(71,1),(74,1),(110,1),(159,1),(171,1)}
        92:{3,4,6}:{(71,1),(75,1),(109,1),(110,1),(111,1),(115,1),(138,1),(159,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(81,1),(108,1),(112,1),(139,1),(165,1),(172,1)}
        94:{1,3,6}:{(73,1),(75,1),(79,1),(109,1),(112,1),(138,1),(145,1)}
        95:{2,3,6}:{(74,1),(75,1),(77,1),(110,1),(112,1),(138,1),(146,1)}
        96:{3,5,6}:{(75,1),(76,1),(84,1),(111,1),(115,1)}
        97:{2,5,6}:{(77,1),(78,1),(85,1),(116,1)}
        98:{4,6}:{(78,1),(86,1)}
        99:{1,5,6}:{(79,1),(80,1),(87,1),(117,1)}
       100:{4,6}:{(80,1),(88,1)}
       101:{1,2,6,7}:{(81,1),(82,1),(83,1),(112,1),(118,1),(145,1),(146,1)}
       102:{1,3,5,7}:{(82,1),(84,1),(87,1),(113,1),(118,1),(119,1),(122,1),(147,1)}
       103:{2,3,5,7}:{(83,1),(84,1),(85,1),(114,1),(118,1),(120,1),(121,1),(147,1)}
       104:{4,7}:{(84,1),(115,1),(159,1)}
       105:{2,4,5,7}:{(85,1),(86,1),(116,1),(120,1),(121,1),(141,1)}
       106:{1,4,5,7}:{(87,1),(88,1),(117,1),(119,1),(122,1),(140,1)}
       107:{3}:{(89,1)}
       108:{1,2,4,7}:{(89,1),(90,1),(91,1),(93,1),(123,1),(124,1),(173,1)}
       109:{1,4,6}:{(90,1),(92,1),(94,1),(125,1)}
       110:{2,4,6}:{(91,1),(92,1),(95,1),(126,1)}
       111:{3,5}:{(92,1),(125,1),(126,1),(127,1)}
       112:{1,2,6}:{(93,1),(94,1),(95,1)}
       113:{1,3,5,6}:{(94,1),(96,1),(99,1),(102,1),(125,1),(128,1),(129,1),(132,1),(150,1),(152,1),(154,1),(167,1)}
       114:{2,3,5,6}:{(95,1),(96,1),(97,1),(103,1),(126,1),(128,1),(130,1),(131,1),(150,1),(153,1),(154,1),(168,1)}
       115:{4,6}:{(96,1),(104,1),(127,1)}
       116:{2,4,6}:{(97,1),(98,1),(105,1),(131,1)}
       117:{1,4,6}:{(99,1),(100,1),(106,1),(132,1)}
       118:{1,2,5,7}:{(101,1),(102,1),(103,1),(128,1),(133,1),(136,1),(137,1)}
       119:{1,4,7}:{(102,1),(104,1),(129,1),(134,1)}
       120:{2,4,7}:{(103,1),(104,1),(130,1),(135,1)}
       121:{3,5,7}:{(105,1),(131,1),(135,1),(136,1),(153,1)}
       122:{3,5,7}:{(106,1),(132,1),(134,1),(137,1),(152,1)}
       123:{3,7}:{(107,1),(108,1),(138,1),(174,1)}
       124:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(138,1),(139,1),(159,1)}
       125:{1,5}:{(109,1),(111,1)}
       126:{2,5}:{(110,1),(111,1)}
       127:{4,5}:{(111,1),(115,1),(159,1)}
       128:{1,2,5,6}:{(112,1),(113,1),(114,1),(118,1),(139,1),(142,1),(145,1),(146,1),(161,1),(162,1),(172,1)}
       129:{1,4,6}:{(113,1),(115,1),(119,1),(140,1),(143,1),(159,1),(170,1)}
       130:{2,4,6}:{(114,1),(115,1),(120,1),(141,1),(144,1),(159,1),(171,1)}
       131:{3,6}:{(116,1),(121,1),(145,1)}
       132:{3,6}:{(117,1),(122,1),(146,1)}
       133:{1,2,4,7}:{(118,1),(119,1),(120,1),(142,1),(147,1),(148,1),(149,1),(165,1)}
       134:{3,4,7}:{(119,1),(122,1),(143,1),(147,1),(148,1)}
       135:{3,4,7}:{(120,1),(121,1),(144,1),(147,1),(149,1)}
       136:{1,5,7}:{(121,1),(145,1),(149,1),(162,1)}
       137:{2,5,7}:{(122,1),(146,1),(148,1),(161,1)}
       138:{3,6}:{(123,1),(124,1),(150,1)}
       139:{1,2,5}:{(124,1),(125,1),(126,1),(150,1)}
       140:{1,4,5}:{(125,1),(127,1),(129,1),(152,1)}
       141:{2,4,5}:{(126,1),(127,1),(130,1),(153,1)}
       142:{1,2,4,6}:{(128,1),(129,1),(130,1),(133,1),(151,1),(154,1),(155,1),(156,1),(169,1),(173,1)}
       143:{3,4,6}:{(129,1),(132,1),(134,1),(152,1),(154,1),(155,1),(166,1)}
       144:{3,4,6}:{(130,1),(131,1),(135,1),(153,1),(154,1),(156,1),(166,1)}
       145:{1,6}:{(131,1),(136,1)}
       146:{2,6}:{(132,1),(137,1)}
       147:{3,7}:{(133,1),(154,1)}
       148:{2,4,7}:{(134,1),(137,1),(155,1),(158,1)}
       149:{1,4,7}:{(135,1),(136,1),(156,1),(157,1)}
       150:{3,5}:{(138,1),(139,1),(159,1)}
       151:{1,2,4,5}:{(139,1),(140,1),(141,1),(142,1),(159,1),(160,1),(161,1),(162,1),(170,1),(171,1),(172,1)}
       152:{3,5}:{(140,1),(143,1),(161,1)}
       153:{3,5}:{(141,1),(144,1),(162,1)}
       154:{3,6}:{(142,1),(147,1),(160,1),(174,1)}
       155:{2,4,6}:{(143,1),(146,1),(148,1),(161,1),(164,1),(171,1)}
       156:{1,4,6}:{(144,1),(145,1),(149,1),(162,1),(163,1),(170,1)}
       157:{1,3,7}:{(147,1),(149,1),(163,1),(165,1)}
       158:{2,3,7}:{(147,1),(148,1),(164,1),(165,1)}
       159:{4}:{(150,1)}
       160:{3,5}:{(151,1),(154,1),(166,1)}
       161:{2,5}:{(152,1),(155,1)}
       162:{1,5}:{(153,1),(156,1)}
       163:{1,3,6}:{(154,1),(156,1),(157,1),(167,1),(169,1)}
       164:{2,3,6}:{(154,1),(155,1),(158,1),(168,1),(169,1)}
       165:{1,2,7}:{(157,1),(158,1),(169,1)}
       166:{3,4}:{(159,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(160,1),(162,1),(163,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(160,1),(161,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(163,1),(164,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

 806 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(14,1),(18,1),(34,1),(38,1),(72,1),(73,1),(74,1),(102,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(62,1),(63,1),(87,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(27,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(57,1),(88,1),(101,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(15,1),(43,1),(95,1)}
         5:{3,4,6}:{(3,1),(10,1),(12,1),(13,1),(14,1),(47,1),(76,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(44,1),(45,1),(48,1),(74,1)}
         7:{3,5,7}:{(2,1),(3,1),(12,1),(15,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(16,1),(18,1),(32,1),(47,1),(66,1),(71,1),(72,1),(93,1),(95,1),(103,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(33,1),(47,1),(68,1),(69,1),(73,1),(91,1),(95,1),(102,1)}
        10:{3,4,5}:{(5,1),(20,1),(21,1),(57,1),(101,1)}
        11:{4,6,7}:{(4,1),(24,1),(100,1)}
        12:{3,4,7}:{(5,1),(7,1),(26,1),(27,1),(65,1)}
        13:{1,4,6}:{(5,1),(8,1),(20,1),(26,1),(86,1),(100,1)}
        14:{2,4,6}:{(5,1),(9,1),(21,1),(27,1),(83,1),(100,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(26,1),(29,1),(31,1),(62,1),(65,1),(90,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(27,1),(30,1),(31,1),(63,1),(65,1),(90,1)}
        18:{1,2,5,6}:{(8,1),(9,1),(28,1),(31,1),(50,1),(52,1),(81,1),(84,1)}
        19:{3,4,5,7}:{(10,1),(12,1),(35,1),(36,1),(37,1),(43,1),(75,1),(97,1),(104,1)}
        20:{1,4,5}:{(10,1),(13,1),(32,1),(103,1),(104,1)}
        21:{2,4,5}:{(10,1),(14,1),(33,1),(102,1),(104,1)}
        22:{1,3,4,6}:{(13,1),(32,1),(39,1),(40,1),(47,1),(66,1),(76,1),(96,1)}
        23:{2,3,4,6}:{(14,1),(33,1),(41,1),(42,1),(47,1),(69,1),(76,1),(96,1)}
        24:{4,5,7}:{(11,1),(34,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(15,1),(35,1),(43,1),(44,1),(45,1),(80,1),(96,1),(97,1)}
        26:{1,4,7}:{(12,1),(13,1),(16,1),(97,1)}
        27:{2,4,7}:{(12,1),(14,1),(17,1),(97,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(18,1),(38,1),(46,1),(47,1)}
        29:{1,3,6,7}:{(15,1),(16,1),(44,1),(48,1),(66,1),(80,1),(93,1)}
        30:{2,3,6,7}:{(15,1),(17,1),(45,1),(48,1),(69,1),(80,1),(91,1)}
        31:{1,2,5,7}:{(16,1),(17,1),(18,1),(46,1),(48,1)}
        32:{1,3,5}:{(20,1),(22,1),(50,1),(57,1),(101,1)}
        33:{2,3,5}:{(21,1),(23,1),(52,1),(57,1),(101,1)}
        34:{4,5,6}:{(24,1),(53,1),(100,1)}
        35:{3,4,6}:{(19,1),(53,1),(54,1),(55,1),(88,1),(100,1)}
        36:{1,4,5,7}:{(19,1),(20,1),(26,1),(49,1),(54,1),(62,1)}
        37:{2,4,5,7}:{(19,1),(21,1),(27,1),(51,1),(55,1),(63,1)}
        38:{1,2,4,5}:{(20,1),(21,1),(28,1),(50,1),(52,1),(57,1),(83,1),(86,1)}
        39:{1,3,4,7}:{(22,1),(26,1),(49,1),(58,1),(65,1),(89,1)}
        40:{1,2,4,6}:{(22,1),(50,1),(58,1),(59,1),(81,1),(83,1),(98,1)}
        41:{2,3,4,7}:{(23,1),(27,1),(51,1),(60,1),(65,1),(89,1)}
        42:{1,2,4,6}:{(23,1),(52,1),(60,1),(61,1),(84,1),(86,1),(99,1)}
        43:{3,5,7}:{(24,1),(25,1),(53,1),(62,1),(63,1),(101,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(54,1),(62,1),(99,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(55,1),(63,1),(98,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(28,1),(31,1),(65,1)}
        47:{3,6}:{(28,1),(57,1),(65,1)}
        48:{1,2,6,7}:{(29,1),(30,1),(31,1),(81,1),(84,1)}
        49:{1,3,5,7}:{(32,1),(36,1),(39,1),(66,1),(67,1),(75,1)}
        50:{1,2,5}:{(32,1),(40,1),(68,1),(102,1)}
        51:{2,3,5,7}:{(33,1),(37,1),(41,1),(69,1),(70,1),(75,1)}
        52:{1,2,5}:{(33,1),(42,1),(71,1),(103,1)}
        53:{3,5,6}:{(34,1),(35,1),(43,1),(72,1),(73,1)}
        54:{1,4,6}:{(35,1),(36,1),(66,1),(72,1)}
        55:{2,4,6}:{(35,1),(37,1),(69,1),(73,1)}
        56:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(46,1),(67,1),(70,1),(74,1),(75,1),(79,1),(92,1),(94,1),(97,1),(102,1),(103,1),(104,1)}
        57:{3,5}:{(38,1),(47,1),(76,1)}
        58:{1,2,4,7}:{(39,1),(40,1),(67,1),(77,1),(92,1)}
        59:{2,3,6}:{(40,1),(47,1),(68,1),(77,1)}
        60:{1,2,4,7}:{(41,1),(42,1),(70,1),(78,1),(94,1)}
        61:{1,3,6}:{(42,1),(47,1),(71,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(72,1),(103,1)}
        63:{2,5,7}:{(43,1),(45,1),(73,1),(102,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(48,1),(74,1),(79,1),(80,1),(97,1)}
        65:{3,7}:{(46,1),(47,1)}
        66:{1,3,6}:{(49,1),(54,1),(81,1),(88,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(58,1),(81,1),(82,1)}
        68:{2,3,5}:{(50,1),(57,1),(59,1),(83,1)}
        69:{2,3,6}:{(51,1),(55,1),(84,1),(88,1)}
        70:{1,2,5,7}:{(51,1),(52,1),(60,1),(84,1),(85,1)}
        71:{1,3,5}:{(52,1),(57,1),(61,1),(86,1)}
        72:{1,5,6}:{(53,1),(54,1),(62,1)}
        73:{2,5,6}:{(53,1),(55,1),(63,1)}
        74:{1,2,4,6}:{(54,1),(55,1),(56,1),(81,1),(84,1),(87,1),(88,1),(98,1),(99,1),(100,1)}
        75:{3,5,7}:{(56,1),(57,1),(65,1),(88,1),(89,1),(101,1)}
        76:{3,4}:{(57,1),(83,1),(86,1)}
        77:{2,3,7}:{(58,1),(59,1),(65,1)}
        78:{1,3,7}:{(60,1),(61,1),(65,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(87,1),(90,1)}
        80:{3,6,7}:{(64,1),(65,1),(88,1),(90,1)}
        81:{1,2,6}:{(66,1),(67,1),(91,1)}
        82:{2,3,5,7}:{(67,1),(68,1),(75,1),(77,1),(91,1),(92,1),(102,1)}
        83:{2,4}:{(68,1),(76,1)}
        84:{1,2,6}:{(69,1),(70,1),(93,1)}
        85:{1,3,5,7}:{(70,1),(71,1),(75,1),(78,1),(93,1),(94,1),(103,1)}
        86:{1,4}:{(71,1),(76,1)}
        87:{1,2,5,6}:{(72,1),(73,1),(74,1),(79,1),(95,1),(102,1),(103,1)}
        88:{3,6}:{(74,1),(75,1)}
        89:{3,4,7}:{(75,1),(76,1),(92,1),(94,1),(96,1),(97,1)}
        90:{3,5,7}:{(79,1),(80,1),(95,1),(97,1)}
        91:{2,3,6}:{(81,1),(82,1),(88,1),(98,1)}
        92:{2,4,7}:{(82,1),(83,1),(89,1),(98,1)}
        93:{1,3,6}:{(84,1),(85,1),(88,1),(99,1)}
        94:{1,4,7}:{(85,1),(86,1),(89,1),(99,1)}
        95:{3,5,6}:{(87,1),(88,1),(90,1),(100,1),(101,1)}
        96:{3,4,6}:{(88,1),(89,1),(98,1),(99,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(100,1)}
        98:{2,4,6}:{(91,1),(92,1),(96,1),(102,1)}
        99:{1,4,6}:{(93,1),(94,1),(96,1),(103,1)}
       100:{4,6}:{(95,1),(97,1),(104,1)}
       101:{3,5}:{(96,1),(102,1),(103,1),(104,1)}
       102:{2,5}:{(98,1),(101,1)}
       103:{1,5}:{(99,1),(101,1)}
       104:{4,5}:{(100,1),(101,1)}

 807 :   0:{1,2,5,6,7}:{(1,1),(2,1),(30,1),(31,1),(59,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(17,1),(75,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(19,1),(24,1),(74,1)}
         3:{1,2,4,5,6}:{(5,1),(7,1),(16,1),(25,1),(26,1),(27,1),(42,1),(43,1),(50,1),(74,1),(97,1),(103,1),(104,1)}
         4:{4,6,7}:{(1,1),(8,1),(88,1)}
         5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(10,1),(30,1),(31,1),(35,1),(36,1),(37,1)}
         6:{3,6,7}:{(2,1),(10,1),(87,1)}
         7:{3,5,6}:{(3,1),(10,1),(13,1),(66,1),(87,1),(102,1)}
         8:{4,5,7}:{(4,1),(16,1),(17,1),(79,1),(97,1)}
         9:{3,4,6,7}:{(4,1),(6,1),(17,1),(18,1),(19,1),(21,1),(41,1),(47,1),(79,1),(96,1)}
        10:{3,5,7}:{(5,1),(6,1),(7,1),(21,1)}
        11:{1,3,6,7}:{(6,1),(18,1),(22,1),(24,1),(47,1),(72,1),(95,1)}
        12:{2,3,6,7}:{(6,1),(19,1),(23,1),(24,1),(47,1),(73,1),(94,1)}
        13:{3,4,6}:{(7,1),(20,1),(21,1),(25,1),(26,1),(56,1),(82,1)}
        14:{1,3,5,6}:{(7,1),(22,1),(25,1),(27,1),(42,1),(48,1),(56,1),(72,1),(75,1),(81,1),(95,1),(104,1)}
        15:{2,3,5,6}:{(7,1),(23,1),(26,1),(27,1),(43,1),(49,1),(56,1),(73,1),(75,1),(80,1),(94,1),(103,1)}
        16:{4,5,6}:{(8,1),(28,1),(88,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(30,1),(31,1),(102,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(30,1),(35,1),(57,1),(101,1)}
        19:{2,4,6,7}:{(9,1),(12,1),(31,1),(36,1),(58,1),(100,1)}
        20:{3,4,5}:{(13,1),(33,1),(34,1),(66,1),(102,1)}
        21:{3,4,7}:{(10,1),(13,1),(35,1),(36,1),(69,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(30,1),(35,1),(37,1),(63,1),(69,1)}
        23:{2,3,5,7}:{(10,1),(12,1),(15,1),(31,1),(36,1),(37,1),(63,1),(69,1)}
        24:{1,2,6,7}:{(11,1),(12,1),(37,1),(85,1),(86,1)}
        25:{1,4,6}:{(13,1),(14,1),(33,1),(35,1),(88,1),(93,1)}
        26:{2,4,6}:{(13,1),(15,1),(34,1),(36,1),(88,1),(92,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(37,1),(40,1),(64,1),(65,1),(85,1),(86,1)}
        28:{3,5,6}:{(16,1),(17,1),(41,1),(42,1),(43,1)}
        29:{3,4,5,7}:{(17,1),(20,1),(21,1),(41,1),(44,1),(45,1),(78,1),(79,1),(97,1)}
        30:{1,5,7}:{(17,1),(18,1),(42,1),(104,1)}
        31:{2,5,7}:{(17,1),(19,1),(43,1),(103,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(24,1),(46,1),(47,1),(53,1),(74,1),(79,1)}
        33:{1,4,5}:{(20,1),(25,1),(48,1),(97,1),(104,1)}
        34:{2,4,5}:{(20,1),(26,1),(49,1),(97,1),(103,1)}
        35:{1,4,7}:{(21,1),(22,1),(25,1),(79,1)}
        36:{2,4,7}:{(21,1),(23,1),(26,1),(79,1)}
        37:{1,2,5,7}:{(22,1),(23,1),(24,1),(27,1),(53,1)}
        38:{1,3,4,6}:{(25,1),(48,1),(51,1),(54,1),(56,1),(72,1),(82,1),(96,1)}
        39:{2,3,4,6}:{(26,1),(49,1),(52,1),(55,1),(56,1),(73,1),(82,1),(96,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(50,1),(53,1),(56,1)}
        41:{3,4,6}:{(28,1),(29,1),(57,1),(58,1),(87,1),(88,1)}
        42:{1,5,6}:{(28,1),(30,1),(57,1)}
        43:{2,5,6}:{(28,1),(31,1),(58,1)}
        44:{1,4,5,7}:{(29,1),(30,1),(33,1),(35,1),(57,1),(60,1)}
        45:{2,4,5,7}:{(29,1),(31,1),(34,1),(36,1),(58,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(32,1),(59,1),(63,1)}
        47:{3,6,7}:{(32,1),(63,1),(69,1),(87,1)}
        48:{1,3,5}:{(33,1),(38,1),(64,1),(66,1),(102,1)}
        49:{2,3,5}:{(34,1),(39,1),(65,1),(66,1),(102,1)}
        50:{1,2,4,5}:{(33,1),(34,1),(40,1),(64,1),(65,1),(66,1),(92,1),(93,1)}
        51:{1,3,4,7}:{(35,1),(38,1),(60,1),(67,1),(69,1),(91,1)}
        52:{2,3,4,7}:{(36,1),(39,1),(61,1),(68,1),(69,1),(91,1)}
        53:{1,2,4,7}:{(35,1),(36,1),(37,1),(40,1),(69,1)}
        54:{1,2,4,6}:{(38,1),(64,1),(67,1),(70,1),(85,1),(92,1),(100,1)}
        55:{1,2,4,6}:{(39,1),(65,1),(68,1),(71,1),(86,1),(93,1),(101,1)}
        56:{3,6}:{(40,1),(66,1),(69,1)}
        57:{1,4,6}:{(41,1),(42,1),(44,1),(72,1)}
        58:{2,4,6}:{(41,1),(43,1),(45,1),(73,1)}
        59:{1,2,5,6}:{(42,1),(43,1),(46,1),(74,1),(75,1),(103,1),(104,1)}
        60:{1,3,5,7}:{(44,1),(48,1),(51,1),(72,1),(76,1),(78,1)}
        61:{2,3,5,7}:{(45,1),(49,1),(52,1),(73,1),(77,1),(78,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(53,1),(74,1),(76,1),(77,1),(78,1),(79,1),(97,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5,7}:{(46,1),(47,1),(75,1),(79,1)}
        64:{1,2,5}:{(48,1),(54,1),(80,1),(103,1)}
        65:{1,2,5}:{(49,1),(55,1),(81,1),(104,1)}
        66:{3,5}:{(50,1),(56,1),(82,1)}
        67:{1,2,4,7}:{(51,1),(54,1),(76,1),(83,1),(98,1)}
        68:{1,2,4,7}:{(52,1),(55,1),(77,1),(84,1),(99,1)}
        69:{3,7}:{(53,1),(56,1)}
        70:{2,3,6}:{(54,1),(56,1),(80,1),(83,1)}
        71:{1,3,6}:{(55,1),(56,1),(81,1),(84,1)}
        72:{1,3,6}:{(57,1),(60,1),(85,1),(87,1)}
        73:{2,3,6}:{(58,1),(61,1),(86,1),(87,1)}
        74:{1,2,4,6}:{(57,1),(58,1),(59,1),(62,1),(85,1),(86,1),(87,1),(88,1),(100,1),(101,1)}
        75:{3,5,6}:{(59,1),(63,1),(87,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(60,1),(64,1),(67,1),(85,1),(89,1)}
        77:{1,2,5,7}:{(61,1),(65,1),(68,1),(86,1),(90,1)}
        78:{3,5,7}:{(62,1),(66,1),(69,1),(87,1),(91,1),(102,1)}
        79:{4,7}:{(63,1),(88,1)}
        80:{2,3,5}:{(64,1),(66,1),(70,1),(92,1)}
        81:{1,3,5}:{(65,1),(66,1),(71,1),(93,1)}
        82:{3,4}:{(66,1),(92,1),(93,1)}
        83:{2,3,7}:{(67,1),(69,1),(70,1)}
        84:{1,3,7}:{(68,1),(69,1),(71,1)}
        85:{1,2,6}:{(72,1),(76,1),(94,1)}
        86:{1,2,6}:{(73,1),(77,1),(95,1)}
        87:{3,6}:{(74,1),(78,1)}
        88:{4,6}:{(75,1),(79,1),(97,1)}
        89:{2,3,5,7}:{(76,1),(78,1),(80,1),(83,1),(94,1),(98,1),(103,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(81,1),(84,1),(95,1),(99,1),(104,1)}
        91:{3,4,7}:{(78,1),(79,1),(82,1),(96,1),(98,1),(99,1)}
        92:{2,4}:{(80,1),(82,1)}
        93:{1,4}:{(81,1),(82,1)}
        94:{2,3,6}:{(85,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(86,1),(87,1),(90,1),(101,1)}
        96:{3,4,6}:{(87,1),(88,1),(91,1),(100,1),(101,1),(102,1)}
        97:{4,5}:{(88,1),(102,1)}
        98:{2,4,7}:{(89,1),(91,1),(92,1),(100,1)}
        99:{1,4,7}:{(90,1),(91,1),(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(96,1),(98,1),(103,1)}
       101:{1,4,6}:{(95,1),(96,1),(99,1),(104,1)}
       102:{3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{1,5}:{(101,1),(102,1)}

 808 :   0:{1,2,4,5,6}:{(1,1),(2,1),(9,1),(10,1),(12,1),(36,1),(75,1),(76,1),(77,1),(78,1),(102,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(55,1),(88,1),(100,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(24,1),(26,1),(62,1),(63,1),(64,1)}
         3:{3,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(40,1),(73,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(12,1),(13,1),(33,1),(40,1),(65,1),(71,1),(76,1),(92,1),(96,1),(102,1)}
         5:{2,3,5,6}:{(1,1),(10,1),(12,1),(14,1),(30,1),(40,1),(67,1),(69,1),(77,1),(94,1),(96,1),(103,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(15,1)}
         7:{1,2,4,6,7}:{(2,1),(15,1),(16,1),(42,1),(43,1),(45,1),(46,1),(75,1)}
         8:{3,4,5}:{(3,1),(19,1),(20,1),(55,1),(100,1)}
         9:{1,4,6}:{(3,1),(4,1),(19,1),(23,1),(81,1),(101,1)}
        10:{2,4,6}:{(3,1),(5,1),(20,1),(24,1),(84,1),(101,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(24,1),(60,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(22,1),(26,1),(47,1),(51,1),(83,1),(86,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(23,1),(26,1),(27,1),(60,1),(62,1),(90,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(24,1),(26,1),(28,1),(60,1),(63,1),(90,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,2,5,6,7}:{(7,1),(29,1),(62,1),(63,1),(89,1)}
        17:{2,3,4,6}:{(10,1),(30,1),(31,1),(32,1),(40,1),(67,1),(73,1),(95,1)}
        18:{1,3,4,6}:{(9,1),(33,1),(34,1),(35,1),(40,1),(71,1),(73,1),(95,1)}
        19:{1,4,5}:{(8,1),(9,1),(33,1),(102,1),(104,1)}
        20:{2,4,5}:{(8,1),(10,1),(30,1),(103,1),(104,1)}
        21:{3,4,5,7}:{(8,1),(11,1),(37,1),(38,1),(39,1),(44,1),(74,1),(97,1),(104,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(12,1),(36,1),(40,1),(41,1)}
        23:{1,4,7}:{(9,1),(11,1),(13,1),(97,1)}
        24:{2,4,7}:{(10,1),(11,1),(14,1),(97,1)}
        25:{3,4,6,7}:{(11,1),(15,1),(39,1),(42,1),(43,1),(44,1),(46,1),(79,1),(95,1),(97,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(14,1),(41,1),(45,1)}
        27:{1,3,6,7}:{(13,1),(15,1),(42,1),(45,1),(71,1),(79,1),(92,1)}
        28:{2,3,6,7}:{(14,1),(15,1),(43,1),(45,1),(67,1),(79,1),(94,1)}
        29:{3,5,6,7}:{(15,1),(16,1),(44,1),(46,1),(96,1)}
        30:{2,3,5}:{(17,1),(20,1),(47,1),(55,1),(100,1)}
        31:{1,2,4,6}:{(17,1),(47,1),(49,1),(50,1),(81,1),(83,1),(98,1)}
        32:{2,3,4,7}:{(17,1),(24,1),(48,1),(50,1),(60,1),(87,1)}
        33:{1,3,5}:{(18,1),(19,1),(51,1),(55,1),(100,1)}
        34:{1,2,4,6}:{(18,1),(51,1),(53,1),(54,1),(84,1),(86,1),(99,1)}
        35:{1,3,4,7}:{(18,1),(23,1),(52,1),(54,1),(60,1),(87,1)}
        36:{1,2,4,5}:{(19,1),(20,1),(22,1),(47,1),(51,1),(55,1),(81,1),(84,1)}
        37:{1,4,5,7}:{(19,1),(21,1),(23,1),(52,1),(57,1),(62,1)}
        38:{2,4,5,7}:{(20,1),(21,1),(24,1),(48,1),(58,1),(63,1)}
        39:{3,4,6}:{(21,1),(57,1),(58,1),(59,1),(88,1),(101,1)}
        40:{3,6}:{(22,1),(55,1),(60,1)}
        41:{1,2,4,7}:{(22,1),(23,1),(24,1),(26,1),(60,1)}
        42:{1,4,6,7}:{(23,1),(25,1),(27,1),(57,1),(62,1),(98,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(28,1),(58,1),(63,1),(99,1)}
        44:{3,5,7}:{(25,1),(59,1),(62,1),(63,1),(64,1),(100,1)}
        45:{1,2,6,7}:{(26,1),(27,1),(28,1),(83,1),(86,1)}
        46:{4,6,7}:{(29,1),(64,1),(101,1)}
        47:{1,2,5}:{(30,1),(31,1),(65,1),(102,1)}
        48:{2,3,5,7}:{(30,1),(32,1),(38,1),(66,1),(67,1),(74,1)}
        49:{1,3,6}:{(31,1),(40,1),(65,1),(68,1)}
        50:{1,2,4,7}:{(31,1),(32,1),(66,1),(68,1),(91,1)}
        51:{1,2,5}:{(33,1),(34,1),(69,1),(103,1)}
        52:{1,3,5,7}:{(33,1),(35,1),(37,1),(70,1),(71,1),(74,1)}
        53:{2,3,6}:{(34,1),(40,1),(69,1),(72,1)}
        54:{1,2,4,7}:{(34,1),(35,1),(70,1),(72,1),(93,1)}
        55:{3,5}:{(36,1),(40,1),(73,1)}
        56:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(41,1),(66,1),(70,1),(74,1),(75,1),(80,1),(91,1),(93,1),(97,1),(102,1),(103,1),(104,1)}
        57:{1,4,6}:{(37,1),(39,1),(71,1),(76,1)}
        58:{2,4,6}:{(38,1),(39,1),(67,1),(77,1)}
        59:{3,5,6}:{(39,1),(44,1),(76,1),(77,1),(78,1)}
        60:{3,7}:{(40,1),(41,1)}
        61:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(45,1),(75,1),(79,1),(80,1),(97,1)}
        62:{1,5,7}:{(42,1),(44,1),(76,1),(102,1)}
        63:{2,5,7}:{(43,1),(44,1),(77,1),(103,1)}
        64:{4,5,7}:{(44,1),(46,1),(78,1),(97,1),(104,1)}
        65:{1,3,5}:{(47,1),(49,1),(55,1),(81,1)}
        66:{1,2,5,7}:{(47,1),(48,1),(50,1),(82,1),(83,1)}
        67:{2,3,6}:{(48,1),(58,1),(83,1),(88,1)}
        68:{1,3,7}:{(49,1),(50,1),(60,1)}
        69:{2,3,5}:{(51,1),(53,1),(55,1),(84,1)}
        70:{1,2,5,7}:{(51,1),(52,1),(54,1),(85,1),(86,1)}
        71:{1,3,6}:{(52,1),(57,1),(86,1),(88,1)}
        72:{2,3,7}:{(53,1),(54,1),(60,1)}
        73:{3,4}:{(55,1),(81,1),(84,1)}
        74:{3,5,7}:{(55,1),(56,1),(60,1),(87,1),(88,1),(100,1)}
        75:{1,2,4,6}:{(56,1),(57,1),(58,1),(83,1),(86,1),(88,1),(89,1),(98,1),(99,1),(101,1)}
        76:{1,5,6}:{(57,1),(59,1),(62,1)}
        77:{2,5,6}:{(58,1),(59,1),(63,1)}
        78:{4,5,6}:{(59,1),(64,1),(101,1)}
        79:{3,6,7}:{(60,1),(61,1),(88,1),(90,1)}
        80:{1,2,5,7}:{(61,1),(62,1),(63,1),(89,1),(90,1)}
        81:{1,4}:{(65,1),(73,1)}
        82:{1,3,5,7}:{(65,1),(66,1),(68,1),(74,1),(91,1),(92,1),(102,1)}
        83:{1,2,6}:{(66,1),(67,1),(92,1)}
        84:{2,4}:{(69,1),(73,1)}
        85:{2,3,5,7}:{(69,1),(70,1),(72,1),(74,1),(93,1),(94,1),(103,1)}
        86:{1,2,6}:{(70,1),(71,1),(94,1)}
        87:{3,4,7}:{(73,1),(74,1),(91,1),(93,1),(95,1),(97,1)}
        88:{3,6}:{(74,1),(75,1)}
        89:{1,2,5,6}:{(75,1),(76,1),(77,1),(80,1),(96,1),(102,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{1,4,7}:{(81,1),(82,1),(87,1),(98,1)}
        92:{1,3,6}:{(82,1),(83,1),(88,1),(98,1)}
        93:{2,4,7}:{(84,1),(85,1),(87,1),(99,1)}
        94:{2,3,6}:{(85,1),(86,1),(88,1),(99,1)}
        95:{3,4,6}:{(87,1),(88,1),(98,1),(99,1),(100,1),(101,1)}
        96:{3,5,6}:{(88,1),(89,1),(90,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{1,4,6}:{(91,1),(92,1),(95,1),(102,1)}
        99:{2,4,6}:{(93,1),(94,1),(95,1),(103,1)}
       100:{3,5}:{(95,1),(102,1),(103,1),(104,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{1,5}:{(98,1),(100,1)}
       103:{2,5}:{(99,1),(100,1)}
       104:{4,5}:{(100,1),(101,1)}

 809 :   0:{3,4,5,6}:{(1,1),(2,1),(3,1),(22,1),(151,1),(162,1),(204,1)}
         1:{3,4,5,7}:{(0,1),(7,1),(8,1),(9,1),(38,1),(130,1)}
         2:{1,4,5,6}:{(0,1),(4,1),(8,1),(169,1),(211,1)}
         3:{2,4,5,6}:{(0,1),(5,1),(9,1),(175,1),(214,1)}
         4:{1,3,5,6}:{(2,1),(12,1),(14,1),(15,1),(22,1),(140,1),(196,1)}
         5:{2,3,5,6}:{(3,1),(13,1),(16,1),(17,1),(22,1),(146,1),(201,1)}
         6:{4,5,6,7}:{(18,1),(100,1),(225,1)}
         7:{3,4,6,7}:{(1,1),(18,1),(19,1),(20,1),(54,1),(100,1),(204,1)}
         8:{1,4,5,7}:{(1,1),(2,1),(14,1),(19,1)}
         9:{2,4,5,7}:{(1,1),(3,1),(16,1),(20,1)}
        10:{1,2,4,5,6}:{(2,1),(3,1),(15,1),(17,1),(21,1),(22,1),(49,1),(52,1),(93,1),(156,1),(158,1),(160,1),(162,1)}
        11:{1,3,4,5}:{(12,1),(23,1),(56,1),(104,1),(140,1)}
        12:{1,3,4,6}:{(4,1),(11,1),(25,1),(26,1),(39,1)}
        13:{2,3,4,6}:{(5,1),(24,1),(27,1),(28,1),(39,1)}
        14:{1,3,5,7}:{(4,1),(8,1),(25,1),(29,1),(30,1),(38,1)}
        15:{1,2,5,6}:{(4,1),(26,1),(30,1),(31,1),(111,1),(172,1)}
        16:{2,3,5,7}:{(5,1),(9,1),(27,1),(32,1),(33,1),(38,1)}
        17:{1,2,5,6}:{(5,1),(28,1),(33,1),(34,1),(116,1),(178,1)}
        18:{3,5,6,7}:{(6,1),(7,1),(35,1),(36,1),(217,1)}
        19:{1,4,6,7}:{(7,1),(8,1),(29,1),(35,1),(211,1)}
        20:{2,4,6,7}:{(7,1),(9,1),(32,1),(36,1),(214,1)}
        21:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(30,1),(33,1),(37,1),(38,1),(69,1),(72,1),(124,1),(127,1),(130,1)}
        22:{3,5,6}:{(10,1),(38,1),(39,1),(120,1),(184,1)}
        23:{1,2,4,5}:{(11,1),(26,1),(40,1),(70,1),(78,1),(111,1)}
        24:{2,3,4,5}:{(13,1),(41,1),(56,1),(136,1),(146,1)}
        25:{1,3,4,7}:{(12,1),(14,1),(42,1),(55,1)}
        26:{1,2,4,6}:{(12,1),(15,1),(23,1),(42,1),(43,1),(49,1)}
        27:{2,3,4,7}:{(13,1),(16,1),(44,1),(55,1)}
        28:{1,2,4,6}:{(13,1),(17,1),(41,1),(44,1),(45,1),(52,1)}
        29:{1,3,6,7}:{(14,1),(19,1),(47,1),(54,1),(196,1)}
        30:{1,2,5,7}:{(14,1),(15,1),(42,1),(47,1),(48,1)}
        31:{2,3,5,6}:{(15,1),(22,1),(43,1),(48,1),(49,1),(85,1),(143,1),(158,1)}
        32:{2,3,6,7}:{(16,1),(20,1),(50,1),(54,1),(201,1)}
        33:{1,2,5,7}:{(16,1),(17,1),(44,1),(50,1),(51,1)}
        34:{1,3,5,6}:{(17,1),(22,1),(45,1),(51,1),(52,1),(89,1),(149,1),(160,1)}
        35:{1,5,6,7}:{(18,1),(19,1),(221,1)}
        36:{2,5,6,7}:{(18,1),(20,1),(223,1)}
        37:{1,2,4,6,7}:{(19,1),(20,1),(21,1),(47,1),(50,1),(53,1),(54,1),(94,1),(97,1),(100,1),(156,1)}
        38:{3,5,7}:{(21,1),(22,1),(54,1),(55,1)}
        39:{3,4,6}:{(22,1),(49,1),(52,1),(55,1),(56,1)}
        40:{2,3,5}:{(23,1),(43,1),(58,1)}
        41:{1,2,4,5}:{(24,1),(28,1),(59,1),(73,1),(107,1),(116,1)}
        42:{1,2,4,7}:{(25,1),(26,1),(30,1),(61,1),(69,1)}
        43:{2,3,6}:{(26,1),(40,1),(61,1)}
        44:{1,2,4,7}:{(27,1),(28,1),(33,1),(64,1),(72,1)}
        45:{1,3,6}:{(28,1),(59,1),(64,1)}
        46:{1,2,3,5,6}:{(31,1),(34,1),(60,1),(63,1),(66,1),(67,1),(111,1),(116,1),(120,1),(171,1),(172,1),(177,1),(178,1),(184,1),(186,1)}
        47:{1,2,6,7}:{(29,1),(30,1),(68,1),(172,1)}
        48:{2,3,5,7}:{(30,1),(31,1),(38,1),(61,1),(68,1),(69,1),(124,1)}
        49:{2,4,6}:{(31,1),(39,1),(69,1),(70,1)}
        50:{1,2,6,7}:{(32,1),(33,1),(71,1),(178,1)}
        51:{1,3,5,7}:{(33,1),(34,1),(38,1),(64,1),(71,1),(72,1),(127,1)}
        52:{1,4,6}:{(34,1),(39,1),(72,1),(73,1)}
        53:{1,2,5,6,7}:{(35,1),(36,1),(37,1),(74,1),(124,1),(127,1),(186,1)}
        54:{3,6,7}:{(37,1),(38,1),(184,1)}
        55:{3,4,7}:{(38,1),(39,1),(69,1),(72,1)}
        56:{3,4,5}:{(39,1),(70,1),(73,1),(120,1)}
        57:{1,2,3,5}:{(40,1),(60,1),(78,1),(111,1),(133,1)}
        58:{2,3,4}:{(40,1),(78,1)}
        59:{1,3,5}:{(41,1),(45,1),(81,1)}
        60:{1,2,3,6}:{(43,1),(57,1),(82,1),(83,1),(164,1)}
        61:{2,3,7}:{(42,1),(43,1)}
        62:{2,3,4,6}:{(43,1),(49,1),(58,1),(83,1),(84,1),(85,1),(90,1),(143,1)}
        63:{1,2,3,6}:{(45,1),(80,1),(86,1),(87,1),(192,1)}
        64:{1,3,7}:{(44,1),(45,1)}
        65:{1,3,4,6}:{(45,1),(52,1),(81,1),(87,1),(88,1),(89,1),(90,1),(149,1)}
        66:{1,2,3,5,7}:{(46,1),(48,1),(51,1),(82,1),(86,1),(91,1),(92,1),(141,1),(147,1),(153,1),(155,1),(197,1),(202,1)}
        67:{1,2,4,6}:{(46,1),(49,1),(52,1),(90,1),(92,1),(93,1),(195,1),(200,1)}
        68:{2,3,6,7}:{(47,1),(48,1),(54,1),(94,1),(143,1)}
        69:{2,4,7}:{(48,1),(49,1),(55,1)}
        70:{2,4,5}:{(49,1),(56,1),(85,1)}
        71:{1,3,6,7}:{(50,1),(51,1),(54,1),(97,1),(149,1)}
        72:{1,4,7}:{(51,1),(52,1),(55,1)}
        73:{1,4,5}:{(52,1),(56,1),(89,1)}
        74:{3,5,6,7}:{(53,1),(54,1),(100,1),(101,1),(207,1)}
        75:{3,4,6,7}:{(54,1),(55,1),(94,1),(97,1),(100,1),(101,1),(102,1)}
        76:{3,4,5,7}:{(55,1),(56,1),(95,1),(98,1),(101,1),(102,1),(153,1),(206,1)}
        77:{3,4,5,6}:{(56,1),(96,1),(99,1),(102,1),(103,1),(154,1),(225,1)}
        78:{1,2,4}:{(57,1),(58,1),(104,1)}
        79:{2,3,4,5}:{(58,1),(85,1),(105,1),(106,1),(151,1)}
        80:{1,2,3,5}:{(59,1),(63,1),(107,1),(116,1),(166,1)}
        81:{1,3,4}:{(59,1),(107,1)}
        82:{1,2,3,7}:{(60,1),(61,1),(110,1),(191,1)}
        83:{1,2,4,6}:{(60,1),(62,1),(78,1),(109,1),(110,1),(111,1),(172,1)}
        84:{2,3,4,7}:{(61,1),(62,1),(69,1),(110,1),(112,1),(119,1)}
        85:{2,3,5}:{(62,1),(70,1),(111,1),(120,1)}
        86:{1,2,3,7}:{(63,1),(64,1),(115,1),(210,1)}
        87:{1,2,4,6}:{(63,1),(65,1),(107,1),(114,1),(115,1),(116,1),(178,1)}
        88:{1,3,4,7}:{(64,1),(65,1),(72,1),(115,1),(117,1),(119,1)}
        89:{1,3,5}:{(65,1),(73,1),(116,1),(120,1)}
        90:{3,4,6}:{(67,1),(119,1),(120,1),(184,1)}
        91:{1,2,3,6,7}:{(66,1),(68,1),(71,1),(121,1),(172,1),(178,1),(184,1),(213,1),(216,1)}
        92:{1,2,4,7}:{(66,1),(67,1),(69,1),(72,1),(119,1),(212,1),(215,1)}
        93:{1,2,4,5}:{(67,1),(70,1),(73,1),(111,1),(116,1),(120,1),(169,1),(175,1)}
        94:{2,4,6,7}:{(68,1),(69,1),(75,1),(124,1),(125,1)}
        95:{2,4,5,7}:{(69,1),(70,1),(76,1),(112,1),(124,1),(125,1)}
        96:{2,4,5,6}:{(70,1),(77,1),(113,1),(125,1),(126,1)}
        97:{1,4,6,7}:{(71,1),(72,1),(75,1),(127,1),(128,1)}
        98:{1,4,5,7}:{(72,1),(73,1),(76,1),(117,1),(127,1),(128,1)}
        99:{1,4,5,6}:{(73,1),(77,1),(118,1),(128,1),(129,1)}
       100:{4,6,7}:{(74,1),(130,1),(219,1)}
       101:{3,5,7}:{(75,1),(124,1),(127,1),(130,1),(131,1)}
       102:{3,4,6}:{(76,1),(125,1),(128,1),(131,1),(184,1),(219,1)}
       103:{3,4,5,7}:{(77,1),(126,1),(129,1),(132,1),(185,1),(230,1)}
       104:{1,3,4}:{(78,1),(133,1)}
       105:{1,2,4,5}:{(78,1),(79,1),(111,1),(133,1),(134,1),(169,1)}
       106:{2,3,4,6}:{(79,1),(113,1),(134,1),(135,1),(182,1)}
       107:{1,2,4}:{(80,1),(81,1),(136,1)}
       108:{1,3,4,5}:{(81,1),(89,1),(137,1),(138,1),(151,1)}
       109:{1,3,4,6}:{(83,1),(90,1),(104,1),(139,1),(140,1),(164,1),(195,1),(196,1)}
       110:{1,2,4,7}:{(82,1),(83,1),(84,1),(139,1),(141,1)}
       111:{1,2,5}:{(83,1),(85,1),(140,1)}
       112:{2,3,5,7}:{(84,1),(85,1),(95,1),(141,1),(143,1),(153,1)}
       113:{2,3,5,6}:{(85,1),(96,1),(106,1),(142,1),(143,1),(144,1),(154,1)}
       114:{2,3,4,6}:{(87,1),(90,1),(136,1),(145,1),(146,1),(192,1),(200,1),(201,1)}
       115:{1,2,4,7}:{(86,1),(87,1),(88,1),(145,1),(147,1)}
       116:{1,2,5}:{(87,1),(89,1),(146,1)}
       117:{1,3,5,7}:{(88,1),(89,1),(98,1),(147,1),(149,1),(153,1)}
       118:{1,3,5,6}:{(89,1),(99,1),(138,1),(148,1),(149,1),(150,1),(154,1)}
       119:{3,4,7}:{(90,1),(92,1),(153,1)}
       120:{3,5}:{(90,1),(93,1)}
       121:{1,2,4,6,7}:{(91,1),(92,1),(94,1),(97,1),(152,1),(155,1),(156,1),(222,1),(224,1)}
       122:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(98,1),(141,1),(147,1),(153,1),(155,1),(156,1),(194,1),(199,1),(206,1)}
       123:{1,2,4,5,6}:{(93,1),(96,1),(99,1),(142,1),(148,1),(154,1),(156,1),(157,1),(195,1),(200,1),(221,1),(223,1),(225,1)}
       124:{2,5,7}:{(94,1),(101,1),(158,1)}
       125:{2,4,6}:{(95,1),(102,1),(143,1),(158,1)}
       126:{2,4,5,7}:{(96,1),(103,1),(144,1),(159,1)}
       127:{1,5,7}:{(97,1),(101,1),(160,1)}
       128:{1,4,6}:{(98,1),(102,1),(149,1),(160,1)}
       129:{1,4,5,7}:{(99,1),(103,1),(150,1),(161,1)}
       130:{4,5,7}:{(100,1),(101,1),(162,1)}
       131:{3,5,6}:{(101,1),(102,1),(158,1),(160,1),(162,1)}
       132:{3,4,6,7}:{(102,1),(103,1),(159,1),(161,1),(163,1),(208,1),(227,1)}
       133:{1,3,5}:{(104,1),(105,1),(164,1)}
       134:{1,2,4,6}:{(105,1),(106,1),(142,1),(164,1),(165,1),(195,1)}
       135:{2,3,4,7}:{(106,1),(144,1),(165,1),(205,1)}
       136:{2,3,4}:{(107,1),(166,1)}
       137:{1,2,4,5}:{(107,1),(108,1),(116,1),(166,1),(167,1),(175,1)}
       138:{1,3,4,6}:{(108,1),(118,1),(167,1),(168,1),(182,1)}
       139:{1,3,4,7}:{(109,1),(110,1),(119,1),(170,1),(191,1),(212,1)}
       140:{1,3,5}:{(109,1),(111,1),(120,1),(169,1)}
       141:{1,2,5,7}:{(110,1),(111,1),(112,1),(170,1),(172,1)}
       142:{1,2,5,6}:{(111,1),(113,1),(134,1),(171,1),(172,1),(173,1)}
       143:{2,3,6}:{(112,1),(125,1),(172,1),(184,1)}
       144:{2,3,5,7}:{(113,1),(126,1),(135,1),(173,1),(174,1),(185,1)}
       145:{2,3,4,7}:{(114,1),(115,1),(119,1),(176,1),(210,1),(215,1)}
       146:{2,3,5}:{(114,1),(116,1),(120,1),(175,1)}
       147:{1,2,5,7}:{(115,1),(116,1),(117,1),(176,1),(178,1)}
       148:{1,2,5,6}:{(116,1),(118,1),(167,1),(177,1),(178,1),(179,1)}
       149:{1,3,6}:{(117,1),(128,1),(178,1),(184,1)}
       150:{1,3,5,7}:{(118,1),(129,1),(168,1),(179,1),(180,1),(185,1)}
       151:{3,4,5}:{(120,1),(169,1),(175,1),(182,1)}
       152:{3,4,6,7}:{(119,1),(121,1),(183,1),(184,1),(219,1)}
       153:{3,5,7}:{(119,1),(120,1),(122,1),(184,1)}
       154:{3,5,6}:{(120,1),(123,1),(182,1),(184,1),(185,1)}
       155:{1,2,5,7}:{(121,1),(124,1),(127,1),(183,1),(186,1),(228,1),(229,1)}
       156:{1,2,4,6}:{(122,1),(125,1),(128,1),(172,1),(178,1),(184,1),(186,1),(211,1),(214,1),(219,1)}
       157:{1,2,4,5,7}:{(123,1),(126,1),(129,1),(173,1),(179,1),(185,1),(187,1),(212,1),(215,1),(228,1),(229,1),(230,1)}
       158:{2,5,6}:{(124,1),(125,1),(131,1)}
       159:{2,4,6,7}:{(125,1),(126,1),(132,1),(174,1),(188,1)}
       160:{1,5,6}:{(127,1),(128,1),(131,1)}
       161:{1,4,6,7}:{(128,1),(129,1),(132,1),(180,1),(189,1)}
       162:{4,5,6}:{(130,1),(131,1),(219,1)}
       163:{3,5,6,7}:{(131,1),(132,1),(188,1),(189,1),(190,1)}
       164:{1,3,6}:{(133,1),(134,1),(191,1)}
       165:{1,2,4,7}:{(134,1),(135,1),(173,1),(191,1),(212,1)}
       166:{2,3,5}:{(136,1),(137,1),(192,1)}
       167:{1,2,4,6}:{(137,1),(138,1),(148,1),(192,1),(193,1),(200,1)}
       168:{1,3,4,7}:{(138,1),(150,1),(193,1),(205,1)}
       169:{1,4,5}:{(140,1),(151,1),(195,1)}
       170:{1,3,5,7}:{(139,1),(140,1),(141,1),(153,1),(194,1),(196,1)}
       171:{1,3,5,6}:{(140,1),(142,1),(154,1),(164,1),(195,1),(196,1),(197,1),(221,1)}
       172:{1,2,6}:{(141,1),(143,1),(196,1)}
       173:{1,2,5,7}:{(142,1),(144,1),(165,1),(197,1),(198,1)}
       174:{2,3,6,7}:{(143,1),(144,1),(159,1),(198,1),(208,1)}
       175:{2,4,5}:{(146,1),(151,1),(200,1)}
       176:{2,3,5,7}:{(145,1),(146,1),(147,1),(153,1),(199,1),(201,1)}
       177:{2,3,5,6}:{(146,1),(148,1),(154,1),(192,1),(200,1),(201,1),(202,1),(223,1)}
       178:{1,2,6}:{(147,1),(149,1),(201,1)}
       179:{1,2,5,7}:{(148,1),(150,1),(193,1),(202,1),(203,1)}
       180:{1,3,6,7}:{(149,1),(150,1),(161,1),(203,1),(208,1)}
       181:{3,4,5,7}:{(151,1),(153,1),(194,1),(199,1),(204,1),(205,1),(206,1),(226,1)}
       182:{3,4,6}:{(151,1),(154,1),(195,1),(200,1),(205,1)}
       183:{3,5,7}:{(152,1),(155,1),(206,1),(207,1)}
       184:{3,6}:{(153,1),(156,1)}
       185:{3,5,7}:{(154,1),(157,1),(205,1),(208,1)}
       186:{1,2,5,6}:{(155,1),(156,1),(158,1),(160,1),(207,1),(221,1),(223,1)}
       187:{1,2,4,6,7}:{(156,1),(157,1),(159,1),(161,1),(198,1),(203,1),(208,1),(209,1),(222,1),(224,1),(227,1)}
       188:{2,5,6,7}:{(158,1),(159,1),(163,1)}
       189:{1,5,6,7}:{(160,1),(161,1),(163,1)}
       190:{4,5,6,7}:{(162,1),(163,1),(227,1)}
       191:{1,3,7}:{(164,1),(165,1)}
       192:{2,3,6}:{(166,1),(167,1),(210,1)}
       193:{1,2,4,7}:{(167,1),(168,1),(179,1),(210,1),(215,1)}
       194:{1,4,5,7}:{(169,1),(170,1),(181,1),(211,1),(212,1),(228,1)}
       195:{1,4,6}:{(169,1),(171,1),(182,1),(212,1)}
       196:{1,3,6}:{(170,1),(172,1),(184,1),(211,1)}
       197:{1,3,5,7}:{(171,1),(173,1),(185,1),(191,1),(212,1),(213,1),(228,1)}
       198:{1,2,6,7}:{(172,1),(173,1),(174,1),(213,1)}
       199:{2,4,5,7}:{(175,1),(176,1),(181,1),(214,1),(215,1),(229,1)}
       200:{2,4,6}:{(175,1),(177,1),(182,1),(215,1)}
       201:{2,3,6}:{(176,1),(178,1),(184,1),(214,1)}
       202:{2,3,5,7}:{(177,1),(179,1),(185,1),(210,1),(215,1),(216,1),(229,1)}
       203:{1,2,6,7}:{(178,1),(179,1),(180,1),(216,1)}
       204:{3,4,6}:{(181,1),(184,1),(211,1),(214,1),(217,1),(219,1)}
       205:{3,4,7}:{(182,1),(185,1),(212,1),(215,1)}
       206:{4,5,7}:{(183,1),(219,1)}
       207:{3,5,6}:{(183,1),(184,1),(186,1),(219,1)}
       208:{3,6,7}:{(184,1),(185,1),(187,1)}
       209:{1,2,5,6,7}:{(186,1),(187,1),(188,1),(189,1),(220,1),(228,1),(229,1)}
       210:{2,3,7}:{(192,1),(193,1)}
       211:{1,4,6}:{(194,1),(196,1),(204,1),(221,1)}
       212:{1,4,7}:{(195,1),(197,1),(205,1)}
       213:{1,3,6,7}:{(196,1),(197,1),(198,1),(208,1),(222,1)}
       214:{2,4,6}:{(199,1),(201,1),(204,1),(223,1)}
       215:{2,4,7}:{(200,1),(202,1),(205,1)}
       216:{2,3,6,7}:{(201,1),(202,1),(203,1),(208,1),(224,1)}
       217:{3,5,6}:{(204,1),(221,1),(223,1),(225,1),(226,1)}
       218:{3,4,6,7}:{(204,1),(205,1),(208,1),(222,1),(224,1),(226,1),(227,1)}
       219:{4,6}:{(206,1),(207,1)}
       220:{3,5,6,7}:{(207,1),(208,1),(209,1),(226,1),(227,1)}
       221:{1,5,6}:{(211,1),(217,1),(228,1)}
       222:{1,4,6,7}:{(211,1),(212,1),(213,1),(218,1),(228,1)}
       223:{2,5,6}:{(214,1),(217,1),(229,1)}
       224:{2,4,6,7}:{(214,1),(215,1),(216,1),(218,1),(229,1)}
       225:{4,5,6}:{(217,1),(219,1),(230,1)}
       226:{3,5,7}:{(217,1),(218,1),(228,1),(229,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(226,1)}
       229:{2,5,7}:{(223,1),(224,1),(226,1)}
       230:{4,5,7}:{(225,1),(226,1),(227,1)}

 810 :   0:{4,5,6,7}:{(1,1),(28,1),(207,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(4,1),(219,1)}
         2:{3,4,6,7}:{(1,1),(6,1),(7,1),(8,1),(27,1),(28,1),(205,1)}
         3:{1,5,6,7}:{(1,1),(7,1),(224,1)}
         4:{2,5,6,7}:{(1,1),(8,1),(226,1)}
         5:{3,4,5,6}:{(6,1),(10,1),(11,1),(33,1),(61,1),(169,1),(205,1)}
         6:{3,4,5,7}:{(2,1),(5,1),(12,1),(13,1),(40,1),(44,1)}
         7:{1,4,6,7}:{(2,1),(3,1),(12,1),(14,1),(215,1)}
         8:{2,4,6,7}:{(2,1),(4,1),(13,1),(15,1),(217,1)}
         9:{1,2,5,6,7}:{(3,1),(4,1),(16,1),(17,1),(78,1),(79,1),(131,1)}
        10:{1,4,5,6}:{(5,1),(12,1),(18,1),(188,1),(215,1)}
        11:{2,4,5,6}:{(5,1),(13,1),(19,1),(191,1),(217,1)}
        12:{1,4,5,7}:{(6,1),(7,1),(10,1),(22,1)}
        13:{2,4,5,7}:{(6,1),(8,1),(11,1),(23,1)}
        14:{1,3,6,7}:{(7,1),(22,1),(25,1),(27,1),(200,1)}
        15:{2,3,6,7}:{(8,1),(23,1),(26,1),(27,1),(203,1)}
        16:{1,2,4,6,7}:{(7,1),(8,1),(9,1),(24,1),(25,1),(26,1),(27,1),(28,1),(58,1),(59,1),(157,1)}
        17:{3,5,6,7}:{(9,1),(27,1),(28,1),(60,1),(161,1)}
        18:{1,3,5,6}:{(10,1),(22,1),(29,1),(31,1),(33,1),(163,1),(200,1)}
        19:{2,3,5,6}:{(11,1),(23,1),(30,1),(32,1),(33,1),(166,1),(203,1)}
        20:{1,2,4,5,6}:{(10,1),(11,1),(24,1),(31,1),(32,1),(33,1),(61,1),(65,1),(66,1),(104,1),(105,1),(112,1),(157,1)}
        21:{1,3,4,5}:{(29,1),(34,1),(67,1),(116,1),(163,1)}
        22:{1,3,5,7}:{(12,1),(14,1),(18,1),(36,1),(38,1),(40,1)}
        23:{2,3,5,7}:{(13,1),(15,1),(19,1),(37,1),(39,1),(40,1)}
        24:{1,2,4,5,7}:{(12,1),(13,1),(16,1),(20,1),(38,1),(39,1),(40,1),(44,1),(74,1),(75,1),(78,1),(79,1)}
        25:{1,2,6,7}:{(14,1),(38,1),(41,1),(178,1)}
        26:{1,2,6,7}:{(15,1),(39,1),(42,1),(181,1)}
        27:{3,6,7}:{(16,1),(40,1),(184,1)}
        28:{4,6,7}:{(17,1),(44,1),(186,1)}
        29:{1,3,4,6}:{(18,1),(21,1),(36,1),(45,1),(49,1)}
        30:{2,3,4,6}:{(19,1),(35,1),(37,1),(46,1),(49,1)}
        31:{1,2,5,6}:{(18,1),(38,1),(45,1),(47,1),(135,1),(178,1)}
        32:{1,2,5,6}:{(19,1),(39,1),(46,1),(48,1),(138,1),(181,1)}
        33:{3,5,6}:{(20,1),(40,1),(49,1),(140,1),(184,1)}
        34:{1,2,4,5}:{(21,1),(45,1),(50,1),(87,1),(90,1),(135,1)}
        35:{2,3,4,5}:{(30,1),(51,1),(67,1),(147,1),(166,1)}
        36:{1,3,4,7}:{(22,1),(29,1),(52,1),(56,1)}
        37:{2,3,4,7}:{(23,1),(30,1),(53,1),(56,1)}
        38:{1,2,5,7}:{(22,1),(25,1),(31,1),(52,1),(54,1)}
        39:{1,2,5,7}:{(23,1),(26,1),(32,1),(53,1),(55,1)}
        40:{3,5,7}:{(24,1),(27,1),(33,1),(56,1)}
        41:{2,3,6,7}:{(25,1),(27,1),(54,1),(58,1),(152,1)}
        42:{1,3,6,7}:{(26,1),(27,1),(55,1),(59,1),(155,1)}
        43:{3,4,6,7}:{(27,1),(28,1),(56,1),(58,1),(59,1),(60,1),(101,1)}
        44:{4,5,7}:{(28,1),(60,1),(61,1)}
        45:{1,2,4,6}:{(29,1),(31,1),(34,1),(52,1),(62,1),(65,1)}
        46:{1,2,4,6}:{(30,1),(32,1),(51,1),(53,1),(63,1),(66,1)}
        47:{2,3,5,6}:{(31,1),(33,1),(54,1),(62,1),(65,1),(104,1),(108,1),(152,1)}
        48:{1,3,5,6}:{(32,1),(33,1),(55,1),(63,1),(66,1),(105,1),(110,1),(155,1)}
        49:{3,4,6}:{(33,1),(56,1),(65,1),(66,1),(67,1)}
        50:{2,3,5}:{(34,1),(62,1),(69,1)}
        51:{1,2,4,5}:{(35,1),(46,1),(70,1),(88,1),(119,1),(138,1)}
        52:{1,2,4,7}:{(36,1),(38,1),(45,1),(71,1),(74,1)}
        53:{1,2,4,7}:{(37,1),(39,1),(46,1),(72,1),(75,1)}
        54:{2,3,5,7}:{(38,1),(40,1),(41,1),(47,1),(71,1),(74,1),(78,1)}
        55:{1,3,5,7}:{(39,1),(40,1),(42,1),(48,1),(72,1),(75,1),(79,1)}
        56:{3,4,7}:{(40,1),(49,1),(74,1),(75,1)}
        57:{1,2,3,6,7}:{(41,1),(42,1),(73,1),(77,1),(178,1),(181,1),(184,1),(216,1),(218,1)}
        58:{2,4,6,7}:{(41,1),(43,1),(74,1),(78,1),(127,1)}
        59:{1,4,6,7}:{(42,1),(43,1),(75,1),(79,1),(128,1)}
        60:{3,5,7}:{(43,1),(44,1),(78,1),(79,1),(80,1)}
        61:{4,5,6}:{(44,1),(80,1),(186,1)}
        62:{2,3,6}:{(45,1),(50,1),(71,1)}
        63:{1,3,6}:{(46,1),(70,1),(72,1)}
        64:{1,2,3,5,6}:{(47,1),(48,1),(73,1),(82,1),(84,1),(86,1),(131,1),(135,1),(138,1),(140,1),(178,1),(181,1),(184,1),(189,1),(192,1)}
        65:{2,4,6}:{(47,1),(49,1),(74,1),(87,1)}
        66:{1,4,6}:{(48,1),(49,1),(75,1),(88,1)}
        67:{3,4,5}:{(49,1),(87,1),(88,1),(140,1)}
        68:{1,2,3,5}:{(50,1),(82,1),(90,1),(135,1),(144,1)}
        69:{2,3,4}:{(50,1),(90,1)}
        70:{1,3,5}:{(51,1),(63,1),(93,1)}
        71:{2,3,7}:{(52,1),(62,1)}
        72:{1,3,7}:{(53,1),(63,1)}
        73:{1,2,3,5,7}:{(54,1),(55,1),(57,1),(64,1),(94,1),(96,1),(98,1),(103,1),(151,1),(154,1),(156,1),(210,1),(212,1)}
        74:{2,4,7}:{(54,1),(56,1),(65,1)}
        75:{1,4,7}:{(55,1),(56,1),(66,1)}
        76:{3,4,5,7}:{(56,1),(60,1),(67,1),(99,1),(100,1),(101,1),(156,1),(160,1)}
        77:{1,2,4,6,7}:{(57,1),(58,1),(59,1),(98,1),(102,1),(103,1),(157,1),(225,1),(227,1)}
        78:{2,5,7}:{(58,1),(60,1),(104,1)}
        79:{1,5,7}:{(59,1),(60,1),(105,1)}
        80:{3,5,6}:{(60,1),(61,1),(101,1),(104,1),(105,1)}
        81:{4,5,6,7}:{(61,1),(106,1),(208,1)}
        82:{1,2,3,6}:{(62,1),(68,1),(94,1),(107,1),(172,1)}
        83:{2,3,4,6}:{(62,1),(65,1),(69,1),(95,1),(107,1),(108,1),(111,1),(152,1)}
        84:{1,2,3,6}:{(63,1),(92,1),(96,1),(109,1),(197,1)}
        85:{1,3,4,6}:{(63,1),(66,1),(93,1),(97,1),(109,1),(110,1),(111,1),(155,1)}
        86:{1,2,4,6}:{(64,1),(65,1),(66,1),(98,1),(111,1),(112,1),(209,1),(211,1)}
        87:{2,4,5}:{(65,1),(67,1),(108,1)}
        88:{1,4,5}:{(66,1),(67,1),(110,1)}
        89:{3,4,5,6}:{(67,1),(101,1),(113,1),(114,1),(115,1),(170,1),(207,1)}
        90:{1,2,4}:{(68,1),(69,1),(116,1)}
        91:{2,3,4,5}:{(69,1),(108,1),(117,1),(118,1),(169,1)}
        92:{1,2,3,5}:{(70,1),(84,1),(119,1),(138,1),(174,1)}
        93:{1,3,4}:{(70,1),(119,1)}
        94:{1,2,3,7}:{(71,1),(82,1),(121,1),(196,1)}
        95:{2,3,4,7}:{(71,1),(74,1),(83,1),(121,1),(122,1),(125,1)}
        96:{1,2,3,7}:{(72,1),(84,1),(123,1),(214,1)}
        97:{1,3,4,7}:{(72,1),(75,1),(85,1),(123,1),(124,1),(125,1)}
        98:{1,2,4,7}:{(73,1),(74,1),(75,1),(86,1),(125,1),(222,1),(223,1)}
        99:{2,4,5,7}:{(74,1),(76,1),(78,1),(87,1),(122,1),(127,1)}
       100:{1,4,5,7}:{(75,1),(76,1),(79,1),(88,1),(124,1),(128,1)}
       101:{3,4,6}:{(76,1),(80,1),(127,1),(128,1),(184,1),(186,1)}
       102:{3,4,6,7}:{(77,1),(125,1),(130,1),(184,1),(186,1)}
       103:{1,2,5,7}:{(77,1),(78,1),(79,1),(130,1),(131,1),(229,1),(230,1)}
       104:{2,5,6}:{(78,1),(80,1),(127,1)}
       105:{1,5,6}:{(79,1),(80,1),(128,1)}
       106:{3,5,6,7}:{(80,1),(81,1),(129,1),(132,1),(133,1)}
       107:{1,2,4,6}:{(82,1),(83,1),(90,1),(121,1),(134,1),(135,1),(178,1)}
       108:{2,3,5}:{(83,1),(87,1),(135,1),(140,1)}
       109:{1,2,4,6}:{(84,1),(85,1),(119,1),(123,1),(137,1),(138,1),(181,1)}
       110:{1,3,5}:{(85,1),(88,1),(138,1),(140,1)}
       111:{3,4,6}:{(86,1),(125,1),(140,1),(184,1)}
       112:{1,2,4,5}:{(86,1),(87,1),(88,1),(135,1),(138,1),(140,1),(188,1),(191,1)}
       113:{2,4,5,6}:{(87,1),(89,1),(127,1),(136,1),(142,1)}
       114:{1,4,5,6}:{(88,1),(89,1),(128,1),(139,1),(143,1)}
       115:{3,4,5,7}:{(89,1),(129,1),(142,1),(143,1),(195,1),(221,1)}
       116:{1,3,4}:{(90,1),(144,1)}
       117:{1,2,4,5}:{(90,1),(91,1),(135,1),(144,1),(145,1),(188,1)}
       118:{2,3,4,6}:{(91,1),(136,1),(145,1),(146,1),(194,1)}
       119:{1,2,4}:{(92,1),(93,1),(147,1)}
       120:{1,3,4,5}:{(93,1),(110,1),(148,1),(149,1),(169,1)}
       121:{1,2,4,7}:{(94,1),(95,1),(107,1),(150,1),(151,1)}
       122:{2,3,5,7}:{(95,1),(99,1),(108,1),(151,1),(152,1),(156,1)}
       123:{1,2,4,7}:{(96,1),(97,1),(109,1),(153,1),(154,1)}
       124:{1,3,5,7}:{(97,1),(100,1),(110,1),(154,1),(155,1),(156,1)}
       125:{3,4,7}:{(98,1),(111,1),(156,1)}
       126:{1,2,4,5,7}:{(98,1),(99,1),(100,1),(103,1),(112,1),(151,1),(154,1),(156,1),(157,1),(160,1),(199,1),(202,1)}
       127:{2,4,6}:{(99,1),(101,1),(104,1),(152,1)}
       128:{1,4,6}:{(100,1),(101,1),(105,1),(155,1)}
       129:{3,4,6,7}:{(101,1),(106,1),(115,1),(158,1),(159,1),(206,1),(208,1)}
       130:{3,5,7}:{(102,1),(103,1),(160,1),(161,1)}
       131:{1,2,5,6}:{(103,1),(104,1),(105,1),(157,1),(161,1),(224,1),(226,1)}
       132:{2,5,6,7}:{(104,1),(106,1),(158,1)}
       133:{1,5,6,7}:{(105,1),(106,1),(159,1)}
       134:{1,3,4,6}:{(107,1),(111,1),(116,1),(150,1),(163,1),(172,1),(200,1),(209,1)}
       135:{1,2,5}:{(107,1),(108,1),(163,1)}
       136:{2,3,5,6}:{(108,1),(113,1),(118,1),(152,1),(164,1),(165,1),(170,1)}
       137:{2,3,4,6}:{(109,1),(111,1),(147,1),(153,1),(166,1),(197,1),(203,1),(211,1)}
       138:{1,2,5}:{(109,1),(110,1),(166,1)}
       139:{1,3,5,6}:{(110,1),(114,1),(149,1),(155,1),(167,1),(168,1),(170,1)}
       140:{3,5}:{(111,1),(112,1)}
       141:{1,2,4,5,6}:{(112,1),(113,1),(114,1),(157,1),(164,1),(167,1),(170,1),(171,1),(207,1),(209,1),(211,1),(224,1),(226,1)}
       142:{2,4,5,7}:{(113,1),(115,1),(158,1),(165,1)}
       143:{1,4,5,7}:{(114,1),(115,1),(159,1),(168,1)}
       144:{1,3,5}:{(116,1),(117,1),(172,1)}
       145:{1,2,4,6}:{(117,1),(118,1),(164,1),(172,1),(173,1),(209,1)}
       146:{2,3,4,7}:{(118,1),(165,1),(173,1),(213,1)}
       147:{2,3,4}:{(119,1),(174,1)}
       148:{1,2,4,5}:{(119,1),(120,1),(138,1),(174,1),(175,1),(191,1)}
       149:{1,3,4,6}:{(120,1),(139,1),(175,1),(176,1),(194,1)}
       150:{1,3,4,7}:{(121,1),(125,1),(134,1),(177,1),(196,1),(222,1)}
       151:{1,2,5,7}:{(121,1),(122,1),(135,1),(177,1),(178,1)}
       152:{2,3,6}:{(122,1),(127,1),(178,1),(184,1)}
       153:{2,3,4,7}:{(123,1),(125,1),(137,1),(180,1),(214,1),(223,1)}
       154:{1,2,5,7}:{(123,1),(124,1),(138,1),(180,1),(181,1)}
       155:{1,3,6}:{(124,1),(128,1),(181,1),(184,1)}
       156:{3,5,7}:{(125,1),(126,1),(140,1),(184,1)}
       157:{1,2,4,6}:{(126,1),(127,1),(128,1),(131,1),(178,1),(181,1),(184,1),(186,1),(215,1),(217,1)}
       158:{2,4,6,7}:{(127,1),(129,1),(132,1),(142,1),(179,1)}
       159:{1,4,6,7}:{(128,1),(129,1),(133,1),(143,1),(182,1)}
       160:{4,5,7}:{(130,1),(186,1)}
       161:{3,5,6}:{(130,1),(131,1),(184,1),(186,1)}
       162:{1,2,5,6,7}:{(131,1),(132,1),(133,1),(185,1),(187,1),(229,1),(230,1)}
       163:{1,3,5}:{(134,1),(135,1),(140,1),(188,1)}
       164:{1,2,5,6}:{(135,1),(136,1),(145,1),(178,1),(189,1),(190,1)}
       165:{2,3,5,7}:{(136,1),(142,1),(146,1),(179,1),(190,1),(195,1)}
       166:{2,3,5}:{(137,1),(138,1),(140,1),(191,1)}
       167:{1,2,5,6}:{(138,1),(139,1),(175,1),(181,1),(192,1),(193,1)}
       168:{1,3,5,7}:{(139,1),(143,1),(176,1),(182,1),(193,1),(195,1)}
       169:{3,4,5}:{(140,1),(188,1),(191,1),(194,1)}
       170:{3,5,6}:{(140,1),(141,1),(184,1),(194,1),(195,1)}
       171:{1,2,4,5,7}:{(141,1),(142,1),(143,1),(185,1),(190,1),(193,1),(195,1),(221,1),(222,1),(223,1),(229,1),(230,1)}
       172:{1,3,6}:{(144,1),(145,1),(196,1)}
       173:{1,2,4,7}:{(145,1),(146,1),(190,1),(196,1),(222,1)}
       174:{2,3,5}:{(147,1),(148,1),(197,1)}
       175:{1,2,4,6}:{(148,1),(149,1),(167,1),(197,1),(198,1),(211,1)}
       176:{1,3,4,7}:{(149,1),(168,1),(198,1),(213,1)}
       177:{1,3,5,7}:{(150,1),(151,1),(156,1),(163,1),(199,1),(200,1)}
       178:{1,2,6}:{(151,1),(152,1),(200,1)}
       179:{2,3,6,7}:{(152,1),(158,1),(165,1),(201,1),(206,1)}
       180:{2,3,5,7}:{(153,1),(154,1),(156,1),(166,1),(202,1),(203,1)}
       181:{1,2,6}:{(154,1),(155,1),(203,1)}
       182:{1,3,6,7}:{(155,1),(159,1),(168,1),(204,1),(206,1)}
       183:{3,4,5,7}:{(156,1),(160,1),(169,1),(199,1),(202,1),(205,1),(213,1),(228,1)}
       184:{3,6}:{(156,1),(157,1)}
       185:{1,2,4,6,7}:{(157,1),(158,1),(159,1),(162,1),(171,1),(201,1),(204,1),(206,1),(208,1),(225,1),(227,1)}
       186:{4,6}:{(160,1),(161,1)}
       187:{3,5,6,7}:{(161,1),(162,1),(206,1),(208,1),(228,1)}
       188:{1,4,5}:{(163,1),(169,1),(209,1)}
       189:{1,3,5,6}:{(163,1),(164,1),(170,1),(172,1),(200,1),(209,1),(210,1),(224,1)}
       190:{1,2,5,7}:{(164,1),(165,1),(173,1),(201,1),(210,1)}
       191:{2,4,5}:{(166,1),(169,1),(211,1)}
       192:{2,3,5,6}:{(166,1),(167,1),(170,1),(197,1),(203,1),(211,1),(212,1),(226,1)}
       193:{1,2,5,7}:{(167,1),(168,1),(198,1),(204,1),(212,1)}
       194:{3,4,6}:{(169,1),(170,1),(209,1),(211,1),(213,1)}
       195:{3,5,7}:{(170,1),(171,1),(206,1),(213,1)}
       196:{1,3,7}:{(172,1),(173,1)}
       197:{2,3,6}:{(174,1),(175,1),(214,1)}
       198:{1,2,4,7}:{(175,1),(176,1),(193,1),(214,1),(223,1)}
       199:{1,4,5,7}:{(177,1),(183,1),(188,1),(215,1),(222,1),(229,1)}
       200:{1,3,6}:{(177,1),(178,1),(184,1),(215,1)}
       201:{1,2,6,7}:{(178,1),(179,1),(190,1),(216,1)}
       202:{2,4,5,7}:{(180,1),(183,1),(191,1),(217,1),(223,1),(230,1)}
       203:{2,3,6}:{(180,1),(181,1),(184,1),(217,1)}
       204:{1,2,6,7}:{(181,1),(182,1),(193,1),(218,1)}
       205:{3,4,6}:{(183,1),(184,1),(186,1),(215,1),(217,1),(219,1)}
       206:{3,6,7}:{(184,1),(185,1),(195,1)}
       207:{4,5,6}:{(186,1),(219,1),(221,1)}
       208:{4,6,7}:{(186,1),(187,1),(221,1)}
       209:{1,4,6}:{(188,1),(189,1),(194,1),(222,1)}
       210:{1,3,5,7}:{(189,1),(190,1),(195,1),(196,1),(216,1),(222,1),(229,1)}
       211:{2,4,6}:{(191,1),(192,1),(194,1),(223,1)}
       212:{2,3,5,7}:{(192,1),(193,1),(195,1),(214,1),(218,1),(223,1),(230,1)}
       213:{3,4,7}:{(194,1),(195,1),(222,1),(223,1)}
       214:{2,3,7}:{(197,1),(198,1)}
       215:{1,4,6}:{(199,1),(200,1),(205,1),(224,1)}
       216:{1,3,6,7}:{(200,1),(201,1),(206,1),(210,1),(225,1)}
       217:{2,4,6}:{(202,1),(203,1),(205,1),(226,1)}
       218:{2,3,6,7}:{(203,1),(204,1),(206,1),(212,1),(227,1)}
       219:{3,5,6}:{(205,1),(207,1),(224,1),(226,1),(228,1)}
       220:{3,4,6,7}:{(205,1),(206,1),(208,1),(213,1),(225,1),(227,1),(228,1)}
       221:{4,5,7}:{(207,1),(208,1),(228,1)}
       222:{1,4,7}:{(209,1),(210,1),(213,1)}
       223:{2,4,7}:{(211,1),(212,1),(213,1)}
       224:{1,5,6}:{(215,1),(219,1),(229,1)}
       225:{1,4,6,7}:{(215,1),(216,1),(220,1),(222,1),(229,1)}
       226:{2,5,6}:{(217,1),(219,1),(230,1)}
       227:{2,4,6,7}:{(217,1),(218,1),(220,1),(223,1),(230,1)}
       228:{3,5,7}:{(219,1),(220,1),(221,1),(229,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(228,1)}
       230:{2,5,7}:{(226,1),(227,1),(228,1)}

 811 :  0:{1,2,6,7}:{(3,1),(4,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(41,1),(42,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(19,1),(23,1),(24,1),(25,1),(41,1),(42,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{1,2,5,7}:{(0,1),(1,1),(9,1),(10,1),(46,1),(47,1)}
        5:{3,5,6}:{(1,1),(9,1),(11,1),(12,1),(26,1),(31,1),(45,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(12,1),(32,1),(33,1),(34,1)}
        7:{3,5}:{(2,1),(12,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(17,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(17,1),(18,1)}
       10:{1,2,4,7}:{(4,1),(6,1),(17,1),(18,1),(38,1),(39,1),(40,1)}
       11:{4,6}:{(5,1),(17,1),(19,1)}
       12:{3,6}:{(6,1),(7,1),(18,1)}
       13:{3,4}:{(7,1),(23,1),(24,1),(44,1)}
       14:{1,3,5}:{(7,1),(21,1),(23,1),(25,1),(41,1),(44,1),(55,1)}
       15:{2,3,5}:{(7,1),(22,1),(24,1),(25,1),(42,1),(44,1),(55,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,7}:{(9,1),(11,1)}
       18:{3,7}:{(10,1),(12,1)}
       19:{4,5}:{(11,1),(31,1),(58,1)}
       20:{3,4,6}:{(11,1),(12,1),(13,1),(28,1),(31,1),(32,1),(33,1),(45,1),(50,1),(58,1),(61,1)}
       21:{1,3,6}:{(12,1),(14,1),(29,1),(32,1),(34,1),(50,1)}
       22:{2,3,6}:{(12,1),(15,1),(30,1),(33,1),(34,1),(50,1)}
       23:{1,4}:{(13,1),(14,1),(58,1)}
       24:{2,4}:{(13,1),(15,1),(58,1)}
       25:{1,2,5}:{(14,1),(15,1),(34,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(19,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,4,7}:{(17,1),(18,1),(20,1),(37,1),(38,1),(39,1),(54,1),(60,1)}
       29:{1,3,7}:{(18,1),(21,1),(38,1),(40,1),(54,1)}
       30:{2,3,7}:{(18,1),(22,1),(39,1),(40,1),(54,1)}
       31:{3,5}:{(19,1),(20,1),(41,1),(42,1),(62,1)}
       32:{1,4,6}:{(20,1),(21,1),(23,1),(38,1),(41,1),(51,1)}
       33:{2,4,6}:{(20,1),(22,1),(24,1),(39,1),(42,1),(52,1)}
       34:{1,2,6}:{(21,1),(22,1),(25,1),(40,1)}
       35:{1,2,4}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(31,1),(45,1),(46,1),(47,1)}
       38:{1,4,7}:{(28,1),(29,1),(32,1),(46,1)}
       39:{2,4,7}:{(28,1),(30,1),(33,1),(47,1)}
       40:{1,2,7}:{(29,1),(30,1),(34,1)}
       41:{1,5}:{(31,1),(32,1)}
       42:{2,5}:{(31,1),(33,1)}
       43:{1,2,4,6}:{(32,1),(33,1),(34,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       44:{3}:{(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(41,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(42,1),(52,1)}
       48:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(53,1),(54,1),(60,1)}
       49:{1,2,5}:{(41,1),(42,1),(43,1),(55,1),(62,1)}
       50:{3,6}:{(43,1),(44,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,7}:{(48,1),(50,1)}
       55:{3,5}:{(49,1),(50,1),(58,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(55,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 812 :   0:{2,4,5,6}:{(2,1),(3,1),(22,1),(82,1),(83,1)}
         1:{2,3,4,6}:{(5,1),(6,1),(7,1),(22,1),(36,1),(65,1),(78,1),(114,1),(130,1)}
         2:{3,5,6}:{(0,1),(8,1),(9,1),(11,1)}
         3:{2,4,5,7}:{(0,1),(11,1),(12,1),(43,1),(96,1),(97,1)}
         4:{3,4,5}:{(8,1),(13,1),(14,1),(52,1)}
         5:{2,3,5}:{(1,1),(14,1),(16,1),(52,1),(137,1),(153,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(19,1),(57,1),(59,1),(110,1)}
         7:{2,3,4,7}:{(1,1),(17,1),(19,1),(43,1),(93,1),(106,1),(138,1),(189,1)}
         8:{3,4,6}:{(2,1),(4,1),(21,1),(22,1),(23,1),(65,1)}
         9:{1,5,6}:{(2,1),(21,1),(25,1)}
        10:{2,3,5,6}:{(2,1),(5,1),(22,1),(24,1),(26,1),(36,1),(65,1),(82,1),(131,1)}
        11:{3,5,7}:{(2,1),(3,1),(23,1),(25,1),(27,1)}
        12:{2,4,6,7}:{(3,1),(27,1),(28,1),(74,1)}
        13:{1,4,5}:{(4,1),(21,1),(29,1)}
        14:{2,4,5}:{(4,1),(5,1),(22,1),(173,1)}
        15:{3,4,5,7}:{(4,1),(23,1),(31,1),(32,1),(33,1),(69,1),(79,1),(136,1),(163,1),(166,1),(173,1)}
        16:{1,2,5}:{(5,1),(6,1),(34,1),(133,1)}
        17:{2,3,5,7}:{(5,1),(7,1),(32,1),(35,1),(36,1),(79,1),(159,1),(176,1),(195,1)}
        18:{1,3,6}:{(6,1),(34,1),(37,1),(65,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(35,1),(37,1),(84,1),(200,1)}
        20:{1,3,4}:{(29,1),(38,1),(78,1)}
        21:{1,4,6}:{(8,1),(9,1),(13,1),(40,1),(42,1)}
        22:{2,4,6}:{(8,1),(10,1),(14,1),(43,1),(154,1)}
        23:{3,4,7}:{(8,1),(11,1),(42,1),(43,1),(93,1)}
        24:{1,2,5,6}:{(9,1),(10,1),(16,1),(41,1),(45,1),(46,1),(59,1),(137,1),(177,1)}
        25:{1,5,7}:{(9,1),(11,1),(42,1),(47,1)}
        26:{2,3,5,7}:{(10,1),(11,1),(43,1),(46,1),(48,1),(93,1),(96,1),(144,1)}
        27:{3,6,7}:{(11,1),(12,1),(47,1)}
        28:{2,5,6,7}:{(12,1),(49,1),(96,1),(148,1)}
        29:{1,3,5}:{(13,1),(20,1),(40,1),(50,1),(52,1)}
        30:{1,2,4,5}:{(13,1),(14,1),(16,1),(41,1),(50,1),(52,1),(57,1),(98,1),(102,1),(137,1)}
        31:{1,4,5,7}:{(13,1),(15,1),(42,1),(51,1),(54,1),(95,1),(113,1),(141,1)}
        32:{2,4,5,7}:{(14,1),(15,1),(17,1),(43,1),(55,1),(96,1),(158,1),(181,1)}
        33:{3,4,6}:{(15,1),(54,1),(55,1),(56,1),(107,1),(154,1)}
        34:{1,3,5}:{(16,1),(18,1),(52,1),(57,1)}
        35:{1,2,5,7}:{(16,1),(17,1),(19,1),(58,1),(59,1),(190,1),(204,1)}
        36:{2,3,6}:{(17,1),(55,1),(59,1),(107,1),(177,1)}
        37:{1,3,7}:{(18,1),(19,1),(93,1),(206,1)}
        38:{1,2,4}:{(20,1),(50,1),(60,1),(102,1)}
        39:{1,3,4,7}:{(20,1),(51,1),(61,1),(62,1),(106,1),(141,1),(180,1),(203,1)}
        40:{1,3,6}:{(21,1),(29,1),(63,1),(64,1),(65,1)}
        41:{1,2,4,6}:{(21,1),(22,1),(24,1),(30,1),(63,1),(65,1),(66,1),(70,1),(114,1)}
        42:{1,4,7}:{(21,1),(23,1),(25,1),(64,1)}
        43:{2,4,7}:{(22,1),(23,1),(26,1),(166,1)}
        44:{3,4,6,7}:{(23,1),(27,1),(33,1),(67,1),(68,1),(69,1),(74,1),(120,1),(125,1),(163,1),(166,1)}
        45:{1,3,5,6}:{(24,1),(34,1),(65,1),(70,1),(71,1),(85,1),(118,1),(131,1),(133,1),(164,1),(168,1)}
        46:{1,2,5,7}:{(24,1),(25,1),(26,1),(66,1),(71,1),(72,1),(159,1)}
        47:{1,6,7}:{(25,1),(27,1)}
        48:{2,3,6,7}:{(26,1),(27,1),(36,1),(68,1),(72,1),(120,1),(195,1)}
        49:{3,5,6,7}:{(27,1),(28,1),(69,1),(73,1),(74,1),(125,1)}
        50:{1,2,5}:{(29,1),(38,1),(63,1),(75,1)}
        51:{1,3,5,7}:{(29,1),(31,1),(39,1),(64,1),(76,1),(77,1),(79,1),(88,1),(208,1)}
        52:{3,5}:{(30,1),(65,1),(78,1)}
        53:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(66,1),(76,1),(79,1),(80,1),(84,1),(121,1),(123,1),(126,1),(133,1),(135,1),(159,1),(162,1),(166,1),(169,1),(173,1),(192,1),(208,1)}
        54:{1,4,6}:{(31,1),(33,1),(77,1),(81,1)}
        55:{2,4,6}:{(32,1),(33,1),(36,1),(82,1)}
        56:{3,5,6}:{(33,1),(69,1),(81,1),(82,1),(83,1)}
        57:{1,4}:{(34,1),(78,1)}
        58:{1,3,5,7}:{(34,1),(35,1),(37,1),(79,1),(84,1),(85,1),(133,1),(175,1),(194,1),(208,1)}
        59:{1,2,6}:{(35,1),(36,1),(85,1)}
        60:{2,3}:{(38,1)}
        61:{1,2,4,7}:{(38,1),(39,1),(76,1),(86,1),(87,1),(126,1)}
        62:{1,3,4,6}:{(39,1),(77,1),(87,1),(88,1),(129,1),(130,1),(171,1),(174,1),(198,1)}
        63:{1,2,6}:{(40,1),(50,1),(89,1),(90,1)}
        64:{1,3,7}:{(40,1),(42,1),(90,1),(93,1)}
        65:{3,6}:{(41,1),(52,1),(93,1)}
        66:{1,2,4,7}:{(41,1),(42,1),(43,1),(46,1),(90,1),(93,1),(99,1),(138,1)}
        67:{1,4,6,7}:{(42,1),(44,1),(47,1),(54,1),(91,1),(95,1),(141,1)}
        68:{2,4,6,7}:{(43,1),(44,1),(48,1),(55,1),(96,1),(148,1),(181,1)}
        69:{3,5,7}:{(44,1),(56,1),(95,1),(96,1),(97,1)}
        70:{1,4,6}:{(45,1),(57,1),(92,1),(98,1),(99,1),(154,1)}
        71:{1,3,5,7}:{(45,1),(46,1),(93,1),(99,1),(100,1),(142,1),(144,1),(147,1)}
        72:{1,2,6,7}:{(46,1),(47,1),(48,1),(59,1),(100,1),(177,1),(204,1)}
        73:{1,5,6,7}:{(47,1),(49,1),(95,1),(101,1)}
        74:{4,6,7}:{(49,1),(97,1)}
        75:{2,3,5}:{(50,1),(52,1),(60,1),(89,1),(102,1),(137,1)}
        76:{1,2,5,7}:{(50,1),(51,1),(61,1),(90,1),(103,1),(104,1),(112,1)}
        77:{1,3,6}:{(51,1),(54,1),(104,1),(107,1),(209,1)}
        78:{3,4}:{(52,1),(57,1),(102,1)}
        79:{3,5,7}:{(52,1),(53,1),(93,1),(106,1),(107,1),(153,1),(157,1),(180,1)}
        80:{1,2,4,6}:{(53,1),(54,1),(55,1),(59,1),(104,1),(107,1),(108,1),(110,1),(146,1),(149,1),(154,1),(177,1),(201,1),(209,1)}
        81:{1,5,6}:{(54,1),(56,1),(95,1)}
        82:{2,5,6}:{(55,1),(56,1),(96,1)}
        83:{4,5,6}:{(56,1),(97,1),(154,1)}
        84:{1,4,7}:{(57,1),(58,1),(106,1),(110,1),(188,1)}
        85:{1,3,6}:{(58,1),(59,1),(107,1),(110,1),(209,1)}
        86:{2,3,7}:{(60,1),(61,1),(111,1),(180,1)}
        87:{1,2,4,6}:{(61,1),(62,1),(104,1),(111,1),(112,1),(149,1),(156,1)}
        88:{1,3,5}:{(62,1),(112,1),(113,1),(153,1),(157,1),(205,1)}
        89:{2,3,6}:{(63,1),(65,1),(75,1),(114,1),(115,1)}
        90:{1,2,7}:{(63,1),(64,1),(115,1)}
        91:{1,3,6,7}:{(64,1),(67,1),(77,1),(116,1),(117,1),(120,1),(125,1)}
        92:{3,4,6}:{(65,1),(70,1),(78,1),(114,1),(118,1),(119,1),(164,1)}
        93:{3,7}:{(65,1),(66,1)}
        94:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(72,1),(80,1),(116,1),(120,1),(121,1),(124,1),(160,1),(162,1),(166,1)}
        95:{1,5,7}:{(67,1),(69,1),(81,1)}
        96:{2,5,7}:{(68,1),(69,1),(82,1)}
        97:{4,5,7}:{(69,1),(74,1),(83,1),(166,1)}
        98:{1,4,5}:{(70,1),(118,1),(133,1),(173,1)}
        99:{1,4,7}:{(70,1),(71,1),(119,1),(166,1)}
       100:{1,3,6,7}:{(71,1),(72,1),(85,1),(120,1),(124,1),(164,1),(194,1)}
       101:{1,4,6,7}:{(73,1),(74,1),(122,1),(125,1)}
       102:{2,4}:{(75,1),(78,1)}
       103:{2,3,5,7}:{(75,1),(76,1),(79,1),(86,1),(115,1),(126,1),(127,1),(134,1),(159,1),(169,1)}
       104:{1,2,6}:{(76,1),(77,1),(127,1)}
       105:{1,3,5,6}:{(77,1),(81,1),(88,1),(117,1),(128,1),(129,1),(131,1),(132,1),(171,1)}
       106:{3,4,7}:{(78,1),(79,1),(84,1),(126,1),(130,1),(166,1),(174,1)}
       107:{3,6}:{(79,1),(80,1)}
       108:{1,2,5,6}:{(80,1),(81,1),(82,1),(121,1),(131,1),(133,1),(168,1),(169,1),(191,1)}
       109:{1,4,5,6}:{(81,1),(83,1),(122,1),(129,1),(132,1)}
       110:{1,4,6}:{(84,1),(85,1),(130,1),(133,1)}
       111:{2,3,6}:{(86,1),(87,1),(134,1),(171,1)}
       112:{1,2,5}:{(87,1),(88,1),(134,1),(169,1)}
       113:{1,4,5}:{(88,1),(129,1),(136,1),(173,1)}
       114:{2,4,6}:{(89,1),(92,1),(102,1),(137,1),(138,1),(177,1)}
       115:{2,3,7}:{(89,1),(90,1),(93,1),(138,1)}
       116:{1,2,6,7}:{(90,1),(91,1),(104,1),(139,1),(140,1),(148,1),(209,1)}
       117:{1,3,5,7}:{(91,1),(95,1),(105,1),(140,1),(141,1),(144,1),(145,1),(180,1)}
       118:{3,5}:{(92,1),(98,1),(137,1)}
       119:{3,4,7}:{(92,1),(93,1),(99,1),(138,1),(142,1)}
       120:{3,6,7}:{(93,1),(94,1),(107,1),(144,1),(180,1)}
       121:{1,2,5,7}:{(94,1),(95,1),(96,1),(108,1),(144,1),(147,1),(178,1)}
       122:{1,4,5,7}:{(95,1),(97,1),(101,1),(109,1),(141,1),(145,1)}
       123:{1,4,5,7}:{(98,1),(99,1),(142,1),(146,1),(147,1),(183,1)}
       124:{1,4,6,7}:{(99,1),(100,1),(110,1),(143,1),(146,1),(147,1),(203,1),(209,1)}
       125:{3,6,7}:{(101,1),(145,1),(148,1)}
       126:{2,4,7}:{(102,1),(103,1),(106,1),(149,1),(156,1)}
       127:{2,3,6}:{(103,1),(104,1),(107,1),(149,1),(177,1)}
       128:{1,2,5,6}:{(104,1),(105,1),(112,1),(140,1),(150,1),(151,1),(155,1),(205,1),(209,1)}
       129:{1,4,6}:{(105,1),(113,1),(141,1),(152,1),(154,1)}
       130:{3,4,6}:{(106,1),(107,1),(110,1),(149,1),(153,1),(154,1)}
       131:{3,5,6}:{(107,1),(108,1),(144,1),(153,1),(154,1)}
       132:{3,5,6}:{(109,1),(145,1),(152,1),(155,1)}
       133:{1,5}:{(110,1),(153,1)}
       134:{2,3,5}:{(111,1),(112,1),(156,1),(157,1)}
       135:{1,2,4,5}:{(112,1),(113,1),(151,1),(156,1),(157,1),(158,1),(184,1),(188,1),(190,1),(205,1)}
       136:{3,4,5}:{(113,1),(152,1),(157,1),(158,1)}
       137:{2,5}:{(114,1),(118,1)}
       138:{2,4,7}:{(114,1),(115,1),(119,1),(159,1)}
       139:{2,3,6,7}:{(115,1),(116,1),(120,1),(127,1),(160,1),(161,1),(207,1)}
       140:{1,2,5,7}:{(116,1),(117,1),(128,1),(161,1),(162,1),(167,1),(208,1)}
       141:{1,4,7}:{(117,1),(129,1),(163,1),(166,1)}
       142:{3,5,7}:{(118,1),(119,1),(123,1),(159,1),(164,1)}
       143:{3,4,6,7}:{(119,1),(120,1),(124,1),(130,1),(160,1),(164,1),(165,1),(166,1),(193,1),(196,1),(207,1)}
       144:{3,5,7}:{(120,1),(121,1),(131,1),(166,1)}
       145:{3,5,7}:{(122,1),(125,1),(132,1),(163,1),(167,1)}
       146:{1,4,6}:{(123,1),(164,1),(168,1),(196,1)}
       147:{1,5,7}:{(124,1),(133,1),(165,1),(168,1)}
       148:{2,6,7}:{(125,1),(167,1)}
       149:{2,4,6}:{(126,1),(127,1),(130,1),(169,1)}
       150:{2,3,5,6}:{(127,1),(128,1),(131,1),(134,1),(161,1),(169,1),(170,1),(171,1),(191,1),(197,1),(207,1)}
       151:{1,2,4,6}:{(128,1),(129,1),(135,1),(162,1),(170,1),(171,1),(172,1),(198,1),(199,1)}
       152:{3,4,6}:{(129,1),(132,1),(136,1),(163,1),(171,1),(172,1)}
       153:{3,5}:{(130,1),(133,1),(169,1),(173,1)}
       154:{4,6}:{(131,1),(166,1),(173,1)}
       155:{2,5,6}:{(132,1),(167,1),(172,1)}
       156:{2,4}:{(134,1),(174,1)}
       157:{3,5}:{(135,1),(171,1),(174,1)}
       158:{2,4,5}:{(136,1),(172,1),(176,1)}
       159:{2,5,7}:{(137,1),(138,1),(142,1),(177,1)}
       160:{2,4,6,7}:{(138,1),(139,1),(143,1),(149,1),(177,1),(178,1),(179,1),(201,1)}
       161:{2,3,5,7}:{(139,1),(140,1),(144,1),(150,1),(178,1),(179,1),(180,1),(202,1)}
       162:{1,2,4,7}:{(140,1),(141,1),(151,1),(179,1),(180,1),(181,1),(203,1),(204,1)}
       163:{3,4,7}:{(141,1),(145,1),(152,1),(180,1),(181,1)}
       164:{3,6}:{(142,1),(146,1),(177,1)}
       165:{3,5,7}:{(143,1),(147,1),(153,1),(178,1),(182,1),(183,1)}
       166:{4,7}:{(144,1),(154,1)}
       167:{2,5,7}:{(145,1),(148,1),(155,1),(181,1)}
       168:{1,5,6}:{(146,1),(147,1),(182,1),(209,1)}
       169:{2,5}:{(149,1),(153,1)}
       170:{2,4,6}:{(150,1),(154,1),(156,1),(179,1),(184,1),(185,1)}
       171:{3,6}:{(151,1),(157,1),(180,1)}
       172:{2,4,6}:{(152,1),(155,1),(158,1),(181,1),(187,1)}
       173:{4,5}:{(153,1),(154,1)}
       174:{3,4}:{(156,1),(157,1),(188,1)}
       175:{1,3,5}:{(157,1),(186,1),(188,1),(190,1),(205,1),(206,1)}
       176:{2,3,5}:{(157,1),(158,1),(187,1),(189,1),(190,1)}
       177:{2,6}:{(159,1),(164,1)}
       178:{2,5,7}:{(160,1),(165,1),(169,1),(191,1)}
       179:{2,4,7}:{(161,1),(166,1),(170,1),(193,1)}
       180:{3,7}:{(162,1),(171,1)}
       181:{2,4,7}:{(163,1),(167,1),(172,1),(195,1)}
       182:{3,5,6}:{(164,1),(165,1),(168,1),(191,1),(196,1),(207,1)}
       183:{4,5,7}:{(165,1),(166,1),(173,1),(196,1)}
       184:{2,4,5}:{(169,1),(170,1),(173,1),(197,1)}
       185:{3,4,6}:{(170,1),(171,1),(174,1),(193,1),(197,1),(198,1),(207,1)}
       186:{1,3,6}:{(171,1),(175,1),(194,1),(198,1),(199,1)}
       187:{2,3,6}:{(171,1),(172,1),(176,1),(195,1),(199,1)}
       188:{1,4}:{(174,1),(175,1)}
       189:{2,3,4}:{(174,1),(176,1),(200,1)}
       190:{1,2,5}:{(175,1),(176,1),(199,1),(200,1)}
       191:{2,5,6}:{(177,1),(178,1),(182,1),(201,1)}
       192:{2,4,5,7}:{(178,1),(179,1),(183,1),(184,1),(201,1),(202,1)}
       193:{3,4,7}:{(179,1),(180,1),(185,1),(202,1),(203,1)}
       194:{1,3,7}:{(180,1),(186,1),(203,1),(204,1)}
       195:{2,3,7}:{(180,1),(181,1),(187,1),(204,1)}
       196:{4,6}:{(182,1),(183,1)}
       197:{3,5}:{(184,1),(185,1),(205,1)}
       198:{1,4,6}:{(185,1),(186,1),(188,1),(203,1),(205,1),(209,1)}
       199:{1,2,6}:{(186,1),(187,1),(190,1),(204,1)}
       200:{1,2,4}:{(188,1),(189,1),(190,1),(206,1)}
       201:{2,4,6}:{(191,1),(192,1),(196,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(197,1),(207,1),(208,1)}
       203:{1,4,7}:{(193,1),(194,1),(198,1),(208,1)}
       204:{1,2,7}:{(194,1),(195,1),(199,1)}
       205:{1,5}:{(197,1),(198,1)}
       206:{1,3}:{(200,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{1,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

 813 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(63,1),(70,1),(131,1),(176,1),(184,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(8,1),(36,1),(37,1),(50,1),(86,1),(101,1),(143,1),(154,1),(157,1)}
         2:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(13,1),(37,1),(150,1),(192,1),(199,1)}
         3:{1,2,4,7}:{(0,1),(9,1),(11,1),(12,1),(44,1),(196,1)}
         4:{2,3,4,6}:{(0,1),(10,1),(12,1),(13,1),(47,1),(94,1),(104,1),(106,1),(164,1)}
         5:{1,3,4,7}:{(14,1),(15,1),(16,1),(63,1),(111,1),(137,1),(169,1),(202,1)}
         6:{1,4,5,7}:{(1,1),(14,1),(19,1),(57,1),(60,1),(77,1),(111,1),(132,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(20,1),(28,1),(61,1),(70,1),(118,1),(170,1)}
         8:{3,4,6}:{(1,1),(19,1),(20,1),(21,1),(64,1),(126,1)}
         9:{1,2,5,7}:{(2,1),(3,1),(23,1),(24,1),(27,1),(177,1),(203,1)}
        10:{2,3,6}:{(2,1),(20,1),(24,1),(64,1),(206,1)}
        11:{1,3,7}:{(3,1),(26,1),(131,1),(205,1)}
        12:{1,2,4,6}:{(3,1),(4,1),(24,1),(26,1),(27,1),(71,1),(75,1)}
        13:{2,3,5}:{(4,1),(27,1),(28,1),(76,1),(125,1),(186,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(29,1),(30,1),(33,1),(37,1),(107,1),(161,1),(208,1)}
        15:{1,2,4,7}:{(5,1),(29,1),(31,1),(32,1),(80,1),(166,1)}
        16:{1,3,4,6}:{(5,1),(30,1),(32,1),(33,1),(83,1),(94,1),(146,1),(148,1),(194,1)}
        17:{3,4,6,7}:{(8,1),(34,1),(35,1),(36,1),(89,1),(90,1),(101,1),(143,1),(151,1),(152,1),(154,1)}
        18:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(29,1),(37,1),(38,1),(44,1),(49,1),(80,1),(85,1),(91,1),(100,1),(102,1),(142,1),(144,1),(154,1),(157,1),(159,1),(189,1),(199,1),(208,1)}
        19:{1,4,6}:{(6,1),(8,1),(30,1),(39,1)}
        20:{2,4,6}:{(7,1),(8,1),(10,1),(40,1)}
        21:{3,5,6}:{(8,1),(36,1),(39,1),(40,1),(41,1)}
        22:{2,3,6,7}:{(10,1),(35,1),(42,1),(43,1),(90,1),(152,1),(192,1)}
        23:{1,3,5,7}:{(9,1),(11,1),(37,1),(44,1),(45,1),(48,1),(102,1),(149,1),(191,1),(208,1)}
        24:{1,2,6}:{(9,1),(10,1),(45,1)}
        25:{2,3,5,6}:{(10,1),(13,1),(40,1),(43,1),(46,1),(47,1),(95,1),(97,1),(104,1)}
        26:{1,3,6}:{(11,1),(12,1),(48,1),(104,1)}
        27:{1,2,5}:{(12,1),(13,1),(48,1),(102,1)}
        28:{2,4,5}:{(13,1),(47,1),(50,1),(157,1)}
        29:{1,2,5,7}:{(14,1),(15,1),(52,1),(53,1),(56,1),(139,1),(185,1)}
        30:{1,3,6}:{(14,1),(19,1),(53,1),(64,1),(209,1)}
        31:{2,3,7}:{(15,1),(55,1),(169,1),(187,1)}
        32:{1,2,4,6}:{(15,1),(16,1),(53,1),(55,1),(56,1),(112,1),(116,1)}
        33:{1,3,5}:{(16,1),(56,1),(57,1),(117,1),(125,1),(204,1)}
        34:{1,4,6,7}:{(17,1),(19,1),(51,1),(60,1),(111,1),(132,1),(179,1)}
        35:{2,4,6,7}:{(17,1),(20,1),(22,1),(61,1),(70,1),(170,1),(178,1)}
        36:{3,5,7}:{(17,1),(21,1),(60,1),(61,1),(62,1)}
        37:{3,5,7}:{(18,1),(63,1),(64,1),(76,1),(117,1),(125,1),(131,1),(169,1)}
        38:{1,2,4,6}:{(18,1),(19,1),(20,1),(24,1),(53,1),(64,1),(65,1),(71,1),(112,1),(126,1),(182,1),(200,1),(206,1),(209,1)}
        39:{1,5,6}:{(19,1),(21,1),(60,1)}
        40:{2,5,6}:{(20,1),(21,1),(61,1)}
        41:{4,5,6}:{(21,1),(62,1),(126,1)}
        42:{1,2,6,7}:{(22,1),(24,1),(68,1),(69,1),(179,1),(203,1),(206,1)}
        43:{2,3,5,7}:{(22,1),(25,1),(61,1),(69,1),(70,1),(122,1),(124,1),(131,1)}
        44:{1,4,7}:{(23,1),(63,1),(71,1),(75,1),(175,1)}
        45:{1,3,6}:{(23,1),(24,1),(64,1),(71,1),(209,1)}
        46:{1,2,5,6}:{(24,1),(25,1),(27,1),(69,1),(72,1),(73,1),(128,1),(186,1),(206,1)}
        47:{2,4,6}:{(25,1),(28,1),(70,1),(74,1),(126,1)}
        48:{1,3,5}:{(26,1),(27,1),(75,1),(76,1)}
        49:{1,2,4,5}:{(27,1),(28,1),(73,1),(75,1),(76,1),(77,1),(133,1),(138,1),(139,1),(186,1)}
        50:{3,4,5}:{(28,1),(74,1),(76,1),(77,1)}
        51:{1,3,6,7}:{(30,1),(34,1),(78,1),(79,1),(90,1),(151,1),(161,1)}
        52:{2,3,5,7}:{(29,1),(31,1),(37,1),(80,1),(81,1),(84,1),(108,1),(144,1),(162,1),(199,1)}
        53:{1,2,6}:{(29,1),(30,1),(81,1)}
        54:{1,3,5,6}:{(30,1),(33,1),(39,1),(79,1),(82,1),(83,1),(95,1),(96,1),(146,1)}
        55:{2,3,6}:{(31,1),(32,1),(84,1),(146,1)}
        56:{1,2,5}:{(32,1),(33,1),(84,1),(144,1)}
        57:{1,4,5}:{(33,1),(83,1),(86,1),(157,1)}
        58:{3,5,6,7}:{(36,1),(87,1),(88,1),(89,1),(151,1),(152,1)}
        59:{1,2,4,6,7}:{(34,1),(35,1),(38,1),(42,1),(78,1),(90,1),(91,1),(98,1),(100,1),(140,1),(142,1),(154,1)}
        60:{1,5,7}:{(34,1),(36,1),(39,1)}
        61:{2,5,7}:{(35,1),(36,1),(40,1)}
        62:{4,5,7}:{(36,1),(41,1),(89,1),(154,1)}
        63:{3,4,7}:{(37,1),(44,1),(80,1),(94,1),(106,1),(148,1),(154,1)}
        64:{3,6}:{(37,1),(38,1)}
        65:{1,2,5,6}:{(38,1),(39,1),(40,1),(91,1),(95,1),(102,1),(144,1),(158,1),(188,1)}
        66:{1,4,5,6}:{(39,1),(41,1),(83,1),(92,1),(96,1)}
        67:{2,4,5,6}:{(40,1),(41,1),(47,1),(93,1),(97,1)}
        68:{1,3,6,7}:{(42,1),(45,1),(90,1),(98,1),(99,1),(191,1),(198,1)}
        69:{1,2,5,7}:{(42,1),(43,1),(46,1),(99,1),(100,1),(156,1),(199,1)}
        70:{2,4,7}:{(43,1),(47,1),(101,1),(154,1)}
        71:{1,4,6}:{(44,1),(45,1),(94,1),(102,1)}
        72:{1,3,5,6}:{(45,1),(46,1),(48,1),(95,1),(99,1),(102,1),(103,1),(104,1),(158,1),(163,1),(198,1)}
        73:{1,2,4,6}:{(46,1),(47,1),(49,1),(100,1),(103,1),(104,1),(105,1),(164,1),(165,1)}
        74:{3,4,6}:{(47,1),(50,1),(97,1),(101,1),(104,1),(105,1)}
        75:{1,4}:{(48,1),(106,1)}
        76:{3,5}:{(49,1),(104,1),(106,1)}
        77:{1,4,5}:{(50,1),(105,1),(107,1)}
        78:{1,2,6,7}:{(51,1),(53,1),(109,1),(110,1),(178,1),(185,1),(209,1)}
        79:{1,3,5,7}:{(51,1),(54,1),(60,1),(110,1),(111,1),(122,1),(123,1),(169,1)}
        80:{2,4,7}:{(52,1),(63,1),(112,1),(116,1),(138,1)}
        81:{2,3,6}:{(52,1),(53,1),(64,1),(112,1),(206,1)}
        82:{1,2,5,6}:{(53,1),(54,1),(56,1),(110,1),(113,1),(114,1),(127,1),(204,1),(209,1)}
        83:{1,4,6}:{(54,1),(57,1),(111,1),(115,1),(126,1)}
        84:{2,3,5}:{(55,1),(56,1),(116,1),(117,1)}
        85:{1,2,4,5}:{(56,1),(57,1),(114,1),(116,1),(117,1),(118,1),(171,1),(175,1),(177,1),(204,1)}
        86:{3,4,5}:{(57,1),(115,1),(117,1),(118,1)}
        87:{1,5,6,7}:{(58,1),(60,1),(119,1),(179,1)}
        88:{2,5,6,7}:{(58,1),(61,1),(120,1),(178,1)}
        89:{4,6,7}:{(58,1),(62,1)}
        90:{3,6,7}:{(59,1),(64,1),(122,1),(131,1),(169,1)}
        91:{1,2,5,7}:{(59,1),(60,1),(61,1),(65,1),(122,1),(129,1),(167,1)}
        92:{1,4,5,7}:{(60,1),(62,1),(66,1),(111,1),(119,1),(123,1)}
        93:{2,4,5,7}:{(61,1),(62,1),(67,1),(70,1),(120,1),(124,1)}
        94:{3,4,6}:{(63,1),(64,1),(71,1),(112,1),(125,1),(126,1)}
        95:{3,5,6}:{(64,1),(65,1),(122,1),(125,1),(126,1)}
        96:{3,5,6}:{(66,1),(115,1),(123,1),(127,1)}
        97:{3,5,6}:{(67,1),(74,1),(124,1),(128,1)}
        98:{1,4,6,7}:{(68,1),(71,1),(121,1),(129,1),(130,1),(182,1),(202,1),(209,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(72,1),(122,1),(129,1),(130,1),(131,1),(183,1)}
       100:{1,2,4,7}:{(69,1),(70,1),(73,1),(130,1),(131,1),(132,1),(184,1),(185,1)}
       101:{3,4,7}:{(70,1),(74,1),(124,1),(131,1),(132,1)}
       102:{1,5}:{(71,1),(125,1)}
       103:{1,4,6}:{(72,1),(75,1),(126,1),(130,1),(133,1),(134,1)}
       104:{3,6}:{(73,1),(76,1),(131,1)}
       105:{1,4,6}:{(74,1),(77,1),(128,1),(132,1),(135,1)}
       106:{3,4}:{(75,1),(76,1),(138,1)}
       107:{1,3,5}:{(76,1),(77,1),(135,1),(137,1),(139,1)}
       108:{2,3,5}:{(76,1),(136,1),(138,1),(139,1),(186,1),(187,1)}
       109:{2,3,6,7}:{(78,1),(81,1),(90,1),(140,1),(141,1),(162,1),(207,1)}
       110:{1,2,5,7}:{(78,1),(79,1),(82,1),(141,1),(142,1),(155,1),(208,1)}
       111:{1,4,7}:{(79,1),(83,1),(143,1),(154,1)}
       112:{2,4,6}:{(80,1),(81,1),(94,1),(144,1)}
       113:{2,3,5,6}:{(81,1),(82,1),(84,1),(95,1),(141,1),(144,1),(145,1),(146,1),(188,1),(193,1),(207,1)}
       114:{1,2,4,6}:{(82,1),(83,1),(85,1),(142,1),(145,1),(146,1),(147,1),(194,1),(195,1)}
       115:{3,4,6}:{(83,1),(86,1),(96,1),(143,1),(146,1),(147,1)}
       116:{2,4}:{(84,1),(148,1)}
       117:{3,5}:{(85,1),(146,1),(148,1)}
       118:{2,4,5}:{(86,1),(147,1),(150,1)}
       119:{1,4,6,7}:{(87,1),(89,1),(92,1),(151,1)}
       120:{2,4,6,7}:{(88,1),(89,1),(93,1),(152,1)}
       121:{3,4,6,7}:{(90,1),(94,1),(98,1),(140,1),(153,1),(154,1),(160,1),(190,1),(197,1),(198,1),(207,1)}
       122:{3,5,7}:{(90,1),(91,1),(95,1),(154,1)}
       123:{3,5,7}:{(92,1),(96,1),(143,1),(151,1),(155,1)}
       124:{3,5,7}:{(93,1),(97,1),(101,1),(152,1),(156,1)}
       125:{3,5}:{(94,1),(102,1),(144,1),(157,1)}
       126:{4,6}:{(95,1),(154,1),(157,1)}
       127:{2,5,6}:{(96,1),(147,1),(155,1)}
       128:{1,5,6}:{(97,1),(105,1),(156,1)}
       129:{1,5,7}:{(98,1),(102,1),(153,1),(158,1)}
       130:{1,4,7}:{(99,1),(103,1),(154,1),(160,1)}
       131:{3,7}:{(100,1),(104,1)}
       132:{1,4,7}:{(101,1),(105,1),(156,1),(161,1)}
       133:{1,4,5}:{(102,1),(103,1),(157,1),(163,1)}
       134:{3,4,6}:{(103,1),(104,1),(106,1),(160,1),(163,1),(164,1),(198,1)}
       135:{1,3,6}:{(104,1),(105,1),(107,1),(161,1),(165,1)}
       136:{2,3,6}:{(104,1),(108,1),(162,1),(164,1),(165,1)}
       137:{1,3,4}:{(106,1),(107,1),(166,1)}
       138:{2,4}:{(106,1),(108,1)}
       139:{1,2,5}:{(107,1),(108,1),(165,1),(166,1)}
       140:{2,4,6,7}:{(109,1),(112,1),(121,1),(167,1),(168,1),(184,1),(200,1),(206,1)}
       141:{2,3,5,7}:{(109,1),(110,1),(113,1),(122,1),(167,1),(168,1),(169,1),(201,1)}
       142:{1,2,4,7}:{(110,1),(111,1),(114,1),(168,1),(169,1),(170,1),(202,1),(203,1)}
       143:{3,4,7}:{(111,1),(115,1),(123,1),(169,1),(170,1)}
       144:{2,5}:{(112,1),(125,1)}
       145:{2,4,6}:{(113,1),(116,1),(126,1),(168,1),(171,1),(172,1)}
       146:{3,6}:{(114,1),(117,1),(169,1)}
       147:{2,4,6}:{(115,1),(118,1),(127,1),(170,1),(174,1)}
       148:{3,4}:{(116,1),(117,1),(175,1)}
       149:{1,3,5}:{(117,1),(173,1),(175,1),(177,1),(204,1),(205,1)}
       150:{2,3,5}:{(117,1),(118,1),(174,1),(176,1),(177,1)}
       151:{3,6,7}:{(119,1),(123,1),(178,1)}
       152:{3,6,7}:{(120,1),(124,1),(179,1)}
       153:{3,5,7}:{(121,1),(125,1),(129,1),(167,1),(180,1),(181,1)}
       154:{4,7}:{(122,1),(126,1)}
       155:{2,5,7}:{(123,1),(127,1),(170,1),(178,1)}
       156:{1,5,7}:{(124,1),(128,1),(132,1),(179,1)}
       157:{4,5}:{(125,1),(126,1)}
       158:{1,5,6}:{(129,1),(180,1),(182,1),(209,1)}
       159:{1,4,5,7}:{(129,1),(130,1),(133,1),(181,1),(182,1),(183,1)}
       160:{3,4,7}:{(130,1),(131,1),(134,1),(183,1),(184,1)}
       161:{1,3,7}:{(131,1),(132,1),(135,1),(185,1)}
       162:{2,3,7}:{(131,1),(136,1),(184,1),(185,1)}
       163:{3,5}:{(133,1),(134,1),(186,1)}
       164:{2,4,6}:{(134,1),(136,1),(138,1),(184,1),(186,1),(206,1)}
       165:{1,2,6}:{(135,1),(136,1),(139,1),(185,1)}
       166:{1,2,4}:{(137,1),(138,1),(139,1),(187,1)}
       167:{2,5,7}:{(140,1),(144,1),(153,1),(188,1)}
       168:{2,4,7}:{(141,1),(145,1),(154,1),(190,1)}
       169:{3,7}:{(142,1),(146,1)}
       170:{2,4,7}:{(143,1),(147,1),(155,1),(192,1)}
       171:{2,4,5}:{(144,1),(145,1),(157,1),(193,1)}
       172:{3,4,6}:{(145,1),(146,1),(148,1),(190,1),(193,1),(194,1),(207,1)}
       173:{1,3,6}:{(146,1),(149,1),(191,1),(194,1),(195,1)}
       174:{2,3,6}:{(146,1),(147,1),(150,1),(192,1),(195,1)}
       175:{1,4}:{(148,1),(149,1)}
       176:{2,3,4}:{(148,1),(150,1),(196,1)}
       177:{1,2,5}:{(149,1),(150,1),(195,1),(196,1)}
       178:{2,6,7}:{(151,1),(155,1)}
       179:{1,6,7}:{(152,1),(156,1)}
       180:{3,5,6}:{(153,1),(158,1),(188,1),(197,1),(198,1),(207,1)}
       181:{4,5,7}:{(153,1),(154,1),(157,1),(197,1)}
       182:{1,4,6}:{(158,1),(159,1),(197,1),(198,1)}
       183:{3,5,7}:{(159,1),(160,1),(163,1),(198,1),(199,1)}
       184:{2,4,7}:{(160,1),(162,1),(164,1),(199,1)}
       185:{1,2,7}:{(161,1),(162,1),(165,1)}
       186:{2,5}:{(163,1),(164,1)}
       187:{2,3}:{(166,1)}
       188:{2,5,6}:{(167,1),(180,1),(200,1),(206,1)}
       189:{2,4,5,7}:{(167,1),(168,1),(171,1),(181,1),(200,1),(201,1)}
       190:{3,4,7}:{(168,1),(169,1),(172,1),(201,1),(202,1)}
       191:{1,3,7}:{(169,1),(173,1),(202,1),(203,1)}
       192:{2,3,7}:{(169,1),(170,1),(174,1),(203,1)}
       193:{3,5}:{(171,1),(172,1),(204,1)}
       194:{1,4,6}:{(172,1),(173,1),(175,1),(202,1),(204,1),(209,1)}
       195:{1,2,6}:{(173,1),(174,1),(177,1),(203,1)}
       196:{1,2,4}:{(175,1),(176,1),(177,1),(205,1)}
       197:{4,6}:{(180,1),(181,1)}
       198:{3,6}:{(182,1),(183,1),(206,1)}
       199:{2,5,7}:{(183,1),(184,1),(186,1),(206,1)}
       200:{2,4,6}:{(188,1),(189,1),(197,1),(207,1)}
       201:{3,5,7}:{(189,1),(190,1),(193,1),(207,1),(208,1)}
       202:{1,4,7}:{(190,1),(191,1),(194,1),(208,1)}
       203:{1,2,7}:{(191,1),(192,1),(195,1)}
       204:{1,5}:{(193,1),(194,1)}
       205:{1,3}:{(196,1)}
       206:{2,6}:{(198,1),(199,1)}
       207:{3,6}:{(200,1),(201,1),(209,1)}
       208:{1,5,7}:{(201,1),(202,1),(204,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

 814 :  0:{2,3,4}:{(2,1),(3,1),(47,1)}
        1:{3,4,5}:{(6,1),(7,1),(8,1),(34,1),(73,1)}
        2:{2,3,5}:{(0,1),(8,1),(9,1),(10,1),(34,1)}
        3:{1,2,4}:{(0,1),(10,1),(11,1),(37,1)}
        4:{1,3,4}:{(12,1),(13,1),(47,1)}
        5:{4,5,6}:{(15,1),(16,1),(65,1),(83,1)}
        6:{3,4,6}:{(1,1),(16,1),(17,1),(18,1),(19,1),(46,1),(65,1)}
        7:{1,4,5}:{(1,1),(12,1),(18,1)}
        8:{2,4,5}:{(1,1),(2,1),(19,1)}
        9:{2,3,6}:{(2,1),(19,1),(21,1),(22,1),(46,1)}
       10:{1,2,5}:{(2,1),(3,1),(22,1),(23,1)}
       11:{1,3}:{(3,1)}
       12:{1,3,5}:{(4,1),(7,1),(24,1),(25,1),(34,1)}
       13:{1,2,4}:{(4,1),(25,1),(26,1),(52,1)}
       14:{5,6,7}:{(27,1),(81,1)}
       15:{4,5,7}:{(5,1),(27,1),(28,1),(72,1),(81,1)}
       16:{3,5,6}:{(5,1),(6,1),(28,1),(29,1),(30,1)}
       17:{3,4,7}:{(6,1),(28,1),(31,1),(32,1),(57,1),(72,1)}
       18:{1,4,6}:{(6,1),(7,1),(24,1),(29,1),(31,1)}
       19:{2,4,6}:{(6,1),(8,1),(9,1),(30,1),(32,1)}
       20:{1,2,4,5}:{(7,1),(8,1),(10,1),(25,1),(33,1),(34,1),(37,1),(52,1),(60,1),(70,1),(73,1)}
       21:{2,3,7}:{(9,1),(32,1),(35,1),(57,1)}
       22:{1,2,6}:{(9,1),(10,1),(35,1),(36,1)}
       23:{1,3,5}:{(10,1),(11,1),(34,1),(36,1),(37,1),(60,1)}
       24:{1,3,6}:{(12,1),(18,1),(38,1),(39,1),(46,1)}
       25:{1,2,5}:{(12,1),(13,1),(39,1),(40,1)}
       26:{2,3}:{(13,1)}
       27:{4,6,7}:{(14,1),(15,1),(41,1)}
       28:{3,5,7}:{(15,1),(16,1),(17,1),(41,1),(42,1),(43,1)}
       29:{1,5,6}:{(16,1),(18,1),(42,1)}
       30:{2,5,6}:{(16,1),(19,1),(43,1)}
       31:{1,4,7}:{(17,1),(18,1),(38,1),(42,1)}
       32:{2,4,7}:{(17,1),(19,1),(21,1),(43,1)}
       33:{1,2,4,6}:{(18,1),(19,1),(20,1),(22,1),(39,1),(44,1),(45,1),(46,1),(49,1),(62,1),(65,1)}
       34:{3,5}:{(20,1),(46,1),(47,1)}
       35:{1,2,7}:{(21,1),(22,1),(48,1)}
       36:{1,3,6}:{(22,1),(23,1),(46,1),(48,1),(49,1)}
       37:{1,4}:{(23,1),(47,1)}
       38:{1,3,7}:{(24,1),(31,1),(50,1),(57,1)}
       39:{1,2,6}:{(24,1),(25,1),(50,1),(51,1)}
       40:{2,3,5}:{(25,1),(26,1),(34,1),(51,1),(52,1),(70,1)}
       41:{3,6,7}:{(27,1),(28,1),(53,1),(54,1)}
       42:{1,5,7}:{(28,1),(29,1),(31,1),(53,1)}
       43:{2,5,7}:{(28,1),(30,1),(32,1),(54,1)}
       44:{1,2,5,6}:{(29,1),(30,1),(33,1),(55,1),(56,1),(60,1),(70,1),(75,1),(80,1)}
       45:{1,2,4,7}:{(31,1),(32,1),(33,1),(35,1),(50,1),(55,1),(57,1),(59,1),(69,1),(72,1)}
       46:{3,6}:{(33,1),(34,1),(57,1)}
       47:{3,4}:{(34,1),(37,1),(52,1)}
       48:{1,3,7}:{(35,1),(36,1),(57,1),(59,1)}
       49:{1,4,6}:{(36,1),(37,1),(58,1),(59,1),(60,1),(75,1)}
       50:{1,2,7}:{(38,1),(39,1),(61,1)}
       51:{2,3,6}:{(39,1),(40,1),(46,1),(61,1),(62,1)}
       52:{2,4}:{(40,1),(47,1)}
       53:{1,6,7}:{(41,1),(42,1)}
       54:{2,6,7}:{(41,1),(43,1)}
       55:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(63,1),(64,1),(68,1),(76,1)}
       56:{3,5,6}:{(44,1),(46,1),(64,1),(65,1),(67,1),(79,1),(83,1)}
       57:{3,7}:{(45,1),(46,1)}
       58:{3,4,6}:{(46,1),(47,1),(49,1),(62,1),(65,1),(66,1),(67,1),(79,1)}
       59:{1,4,7}:{(48,1),(49,1),(66,1),(68,1)}
       60:{1,5}:{(49,1),(67,1)}
       61:{2,3,7}:{(50,1),(51,1),(57,1),(69,1)}
       62:{2,4,6}:{(51,1),(52,1),(58,1),(69,1),(70,1),(80,1)}
       63:{1,2,6,7}:{(53,1),(54,1),(55,1),(71,1),(75,1),(80,1)}
       64:{3,5,7}:{(55,1),(56,1),(57,1),(71,1),(72,1),(81,1)}
       65:{4,6}:{(56,1),(72,1),(73,1)}
       66:{3,4,7}:{(57,1),(58,1),(59,1),(69,1),(72,1),(74,1)}
       67:{3,5}:{(58,1),(60,1),(70,1),(73,1)}
       68:{1,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{2,4,7}:{(61,1),(62,1),(66,1),(76,1)}
       70:{2,5}:{(62,1),(67,1)}
       71:{3,6,7}:{(63,1),(64,1),(77,1),(79,1)}
       72:{4,7}:{(64,1),(65,1)}
       73:{4,5}:{(65,1),(67,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(78,1),(79,1)}
       75:{1,6}:{(68,1),(79,1)}
       76:{2,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       78:{4,5,7}:{(72,1),(73,1),(74,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(82,1)}
       80:{2,6}:{(76,1),(79,1)}
       81:{5,7}:{(77,1),(83,1)}
       82:{4,6}:{(78,1),(79,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 815 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(54,1),(112,1)}
         1:{2,3,4,6}:{(2,1),(5,1),(6,1),(20,1),(23,1),(27,1),(54,1),(64,1)}
         2:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(36,1)}
         3:{1,2,3,5}:{(0,1),(8,1),(10,1),(34,1),(86,1),(91,1)}
         4:{1,2,3,7}:{(0,1),(9,1),(84,1),(140,1),(230,1)}
         5:{2,3,5}:{(1,1),(8,1),(13,1),(34,1),(95,1)}
         6:{2,3,4,7}:{(1,1),(9,1),(14,1),(39,1),(42,1),(84,1),(220,1)}
         7:{1,3,4,6}:{(2,1),(15,1),(16,1),(20,1),(49,1),(53,1),(54,1),(64,1)}
         8:{1,2,5}:{(2,1),(5,1),(15,1)}
         9:{1,2,4,7}:{(2,1),(4,1),(6,1),(16,1),(19,1),(227,1)}
        10:{1,2,4}:{(3,1),(20,1)}
        11:{1,2,3,5,7}:{(3,1),(4,1),(19,1),(21,1),(22,1),(59,1),(65,1),(117,1),(121,1),(171,1)}
        12:{2,3,5,6}:{(5,1),(17,1),(23,1),(24,1),(27,1),(47,1),(54,1),(71,1),(120,1)}
        13:{2,4,5}:{(5,1),(23,1),(25,1),(125,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(19,1),(26,1),(27,1),(59,1),(208,1),(225,1)}
        15:{1,3,5}:{(7,1),(8,1),(30,1),(34,1),(95,1)}
        16:{1,3,4,7}:{(7,1),(9,1),(31,1),(39,1),(77,1),(84,1),(219,1)}
        17:{1,2,5,6}:{(8,1),(12,1),(29,1),(32,1),(33,1),(36,1),(72,1),(132,1)}
        18:{1,2,4,5}:{(8,1),(10,1),(13,1),(30,1),(32,1),(34,1),(44,1),(79,1),(86,1)}
        19:{1,2,5,7}:{(8,1),(9,1),(14,1),(31,1),(36,1),(221,1),(229,1)}
        20:{3,4}:{(10,1),(34,1)}
        21:{1,2,4,7}:{(10,1),(11,1),(39,1),(40,1),(189,1)}
        22:{1,2,3,6}:{(11,1),(36,1),(40,1),(89,1),(144,1)}
        23:{2,4,6}:{(12,1),(13,1),(41,1),(42,1),(147,1)}
        24:{2,3,5,7}:{(12,1),(33,1),(42,1),(43,1),(73,1),(84,1),(98,1),(143,1)}
        25:{3,4,5}:{(13,1),(34,1),(41,1),(44,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(42,1),(45,1),(46,1),(98,1),(191,1),(215,1)}
        27:{2,3,6}:{(14,1),(36,1),(46,1),(89,1)}
        28:{2,4,5,6}:{(23,1),(47,1),(48,1),(71,1),(129,1)}
        29:{1,3,5,6}:{(15,1),(17,1),(49,1),(50,1),(53,1),(54,1),(104,1),(111,1),(120,1)}
        30:{1,4,5}:{(15,1),(49,1),(51,1),(125,1)}
        31:{1,3,5,7}:{(15,1),(16,1),(19,1),(52,1),(53,1),(59,1),(207,1),(224,1)}
        32:{1,2,4,6}:{(17,1),(18,1),(23,1),(49,1),(54,1),(55,1),(66,1),(106,1),(112,1)}
        33:{1,2,5,7}:{(17,1),(24,1),(50,1),(55,1),(56,1),(101,1),(157,1)}
        34:{3,5}:{(18,1),(20,1),(54,1)}
        35:{1,2,4,5,7}:{(18,1),(19,1),(21,1),(26,1),(52,1),(55,1),(59,1),(60,1),(65,1),(69,1),(109,1),(116,1),(117,1),(125,1),(167,1),(172,1),(200,1)}
        36:{1,2,6}:{(19,1),(27,1),(53,1)}
        37:{1,3,4}:{(20,1),(57,1),(61,1)}
        38:{2,3,4}:{(20,1),(58,1),(61,1)}
        39:{3,4,7}:{(20,1),(21,1),(59,1),(64,1),(167,1),(206,1)}
        40:{1,2,4,6}:{(21,1),(22,1),(64,1),(65,1)}
        41:{3,4,6}:{(23,1),(25,1),(47,1),(54,1),(66,1),(67,1)}
        42:{2,4,7}:{(23,1),(24,1),(67,1),(167,1)}
        43:{2,3,6,7}:{(24,1),(27,1),(56,1),(68,1),(102,1),(115,1),(225,1)}
        44:{1,4,5}:{(25,1),(57,1),(66,1)}
        45:{3,4,5,7}:{(25,1),(26,1),(59,1),(67,1),(69,1),(70,1),(125,1),(127,1),(167,1),(173,1),(201,1)}
        46:{2,4,6}:{(26,1),(27,1),(70,1),(71,1)}
        47:{3,5,6}:{(28,1),(41,1),(72,1),(73,1)}
        48:{2,4,5,7}:{(28,1),(42,1),(73,1),(74,1),(98,1),(153,1)}
        49:{1,4,6}:{(29,1),(30,1),(76,1),(77,1),(147,1)}
        50:{1,3,5,7}:{(29,1),(33,1),(77,1),(78,1),(84,1),(133,1),(137,1),(143,1)}
        51:{3,4,5}:{(30,1),(34,1),(76,1),(79,1)}
        52:{1,4,5,7}:{(30,1),(31,1),(77,1),(80,1),(81,1),(137,1),(192,1),(216,1)}
        53:{1,3,6}:{(31,1),(36,1),(81,1),(89,1)}
        54:{3,6}:{(32,1),(34,1),(84,1)}
        55:{1,2,4,7}:{(32,1),(33,1),(42,1),(77,1),(84,1),(96,1),(135,1),(140,1)}
        56:{1,2,6,7}:{(33,1),(36,1),(43,1),(78,1),(130,1),(178,1),(229,1)}
        57:{1,3,5}:{(34,1),(37,1),(44,1),(82,1),(86,1)}
        58:{2,3,5}:{(34,1),(38,1),(79,1),(83,1),(86,1)}
        59:{3,5,7}:{(34,1),(35,1),(39,1),(84,1),(89,1),(95,1),(190,1),(214,1)}
        60:{1,2,4,6}:{(35,1),(36,1),(46,1),(81,1),(89,1),(90,1),(99,1),(138,1),(144,1),(147,1)}
        61:{1,2,4}:{(37,1),(38,1),(86,1),(91,1)}
        62:{1,3,4,7}:{(37,1),(39,1),(87,1),(92,1),(93,1),(184,1),(214,1)}
        63:{2,3,4,7}:{(38,1),(39,1),(88,1),(92,1),(94,1),(185,1),(214,1)}
        64:{3,4,6}:{(39,1),(40,1),(89,1),(95,1),(147,1)}
        65:{1,2,5}:{(40,1),(95,1)}
        66:{1,4,6}:{(41,1),(44,1),(72,1),(82,1),(96,1)}
        67:{3,4,7}:{(41,1),(42,1),(73,1),(84,1),(96,1)}
        68:{2,4,6,7}:{(42,1),(43,1),(46,1),(97,1),(98,1),(210,1),(215,1)}
        69:{1,4,5,7}:{(44,1),(45,1),(87,1),(96,1),(99,1),(150,1),(152,1),(184,1)}
        70:{3,4,6}:{(45,1),(46,1),(89,1),(99,1),(100,1),(147,1)}
        71:{2,5,6}:{(46,1),(98,1),(100,1)}
        72:{1,5,6}:{(47,1),(66,1),(101,1)}
        73:{3,5,7}:{(47,1),(48,1),(67,1),(101,1),(102,1)}
        74:{2,4,6,7}:{(48,1),(102,1),(103,1),(156,1)}
        75:{1,4,5,6}:{(49,1),(104,1),(105,1),(111,1),(163,1)}
        76:{3,4,6}:{(49,1),(51,1),(54,1),(104,1),(106,1),(107,1)}
        77:{1,4,7}:{(49,1),(50,1),(107,1),(167,1)}
        78:{1,3,6,7}:{(50,1),(53,1),(56,1),(108,1),(115,1),(158,1),(224,1)}
        79:{2,4,5}:{(51,1),(58,1),(106,1)}
        80:{3,4,5,7}:{(51,1),(52,1),(59,1),(107,1),(109,1),(110,1),(125,1),(161,1),(167,1),(174,1),(202,1)}
        81:{1,4,6}:{(52,1),(53,1),(110,1),(111,1)}
        82:{1,3,6}:{(54,1),(57,1),(66,1),(112,1),(113,1)}
        83:{2,3,6}:{(54,1),(58,1),(106,1),(112,1),(114,1)}
        84:{3,7}:{(54,1),(55,1)}
        85:{1,2,4,6,7}:{(55,1),(56,1),(60,1),(68,1),(108,1),(115,1),(116,1),(126,1),(160,1),(164,1),(167,1),(200,1)}
        86:{1,2,5}:{(57,1),(58,1),(61,1),(112,1)}
        87:{1,3,5,7}:{(57,1),(59,1),(62,1),(69,1),(113,1),(117,1),(118,1),(123,1)}
        88:{2,3,5,7}:{(58,1),(59,1),(63,1),(109,1),(114,1),(117,1),(119,1),(124,1)}
        89:{3,6}:{(59,1),(60,1)}
        90:{1,2,5,6}:{(60,1),(65,1),(71,1),(111,1),(116,1),(120,1),(128,1),(162,1)}
        91:{1,2,3}:{(61,1)}
        92:{1,2,4,7}:{(61,1),(62,1),(63,1),(117,1),(121,1),(122,1)}
        93:{1,3,4,6}:{(62,1),(64,1),(118,1),(122,1),(123,1),(169,1),(203,1),(206,1)}
        94:{2,3,4,6}:{(63,1),(64,1),(119,1),(122,1),(124,1),(170,1),(203,1),(206,1)}
        95:{3,5}:{(64,1),(65,1),(125,1)}
        96:{1,4,7}:{(66,1),(67,1),(101,1),(113,1)}
        97:{3,4,6,7}:{(67,1),(68,1),(70,1),(102,1),(115,1),(126,1),(127,1),(156,1),(167,1),(195,1),(201,1)}
        98:{2,5,7}:{(68,1),(71,1),(127,1)}
        99:{1,4,6}:{(69,1),(70,1),(118,1),(128,1)}
       100:{3,5,6}:{(70,1),(71,1),(127,1),(128,1),(129,1)}
       101:{1,5,7}:{(72,1),(73,1),(96,1),(130,1)}
       102:{3,6,7}:{(73,1),(74,1),(130,1)}
       103:{2,5,6,7}:{(74,1),(98,1),(131,1),(210,1)}
       104:{3,5,6}:{(75,1),(76,1),(132,1),(133,1)}
       105:{1,4,5,7}:{(75,1),(77,1),(133,1),(134,1),(137,1),(181,1)}
       106:{2,4,6}:{(76,1),(79,1),(83,1),(132,1),(135,1)}
       107:{3,4,7}:{(76,1),(77,1),(84,1),(133,1),(135,1)}
       108:{1,4,6,7}:{(77,1),(78,1),(81,1),(136,1),(137,1),(216,1),(228,1)}
       109:{2,4,5,7}:{(79,1),(80,1),(88,1),(135,1),(138,1),(151,1),(180,1),(185,1)}
       110:{3,4,6}:{(80,1),(81,1),(89,1),(138,1),(139,1),(147,1)}
       111:{1,5,6}:{(81,1),(137,1),(139,1)}
       112:{1,2,6}:{(82,1),(83,1),(86,1),(140,1)}
       113:{1,3,7}:{(82,1),(84,1),(96,1),(140,1)}
       114:{2,3,7}:{(83,1),(84,1),(135,1),(140,1)}
       115:{3,6,7}:{(84,1),(85,1),(89,1),(143,1),(214,1)}
       116:{1,2,5,7}:{(85,1),(90,1),(98,1),(137,1),(143,1),(152,1),(180,1)}
       117:{1,2,5,7}:{(86,1),(87,1),(88,1),(92,1),(140,1),(144,1),(149,1)}
       118:{1,3,6}:{(87,1),(89,1),(99,1),(144,1)}
       119:{2,3,6}:{(88,1),(89,1),(138,1),(144,1)}
       120:{3,5,6}:{(89,1),(90,1),(95,1),(143,1),(147,1)}
       121:{1,2,3,7}:{(91,1),(92,1),(148,1),(214,1),(229,1)}
       122:{1,2,4,6}:{(92,1),(93,1),(94,1),(144,1),(148,1),(149,1),(189,1)}
       123:{1,3,5}:{(93,1),(95,1),(149,1),(150,1),(190,1)}
       124:{2,3,5}:{(94,1),(95,1),(149,1),(151,1),(190,1)}
       125:{4,5}:{(95,1),(147,1)}
       126:{1,4,6,7}:{(96,1),(97,1),(99,1),(130,1),(141,1),(152,1),(184,1)}
       127:{3,5,7}:{(97,1),(98,1),(100,1),(152,1),(153,1)}
       128:{1,5,6}:{(99,1),(100,1),(152,1)}
       129:{4,5,6}:{(100,1),(147,1),(153,1)}
       130:{1,6,7}:{(101,1),(102,1)}
       131:{3,5,6,7}:{(102,1),(103,1),(127,1),(155,1),(156,1),(195,1)}
       132:{2,5,6}:{(104,1),(106,1),(157,1)}
       133:{3,5,7}:{(104,1),(105,1),(107,1),(157,1),(158,1)}
       134:{1,4,6,7}:{(105,1),(158,1),(159,1),(197,1)}
       135:{2,4,7}:{(106,1),(107,1),(114,1),(157,1)}
       136:{3,4,6,7}:{(107,1),(108,1),(110,1),(115,1),(158,1),(160,1),(161,1),(167,1),(197,1),(202,1),(222,1)}
       137:{1,5,7}:{(108,1),(111,1),(161,1)}
       138:{2,4,6}:{(109,1),(110,1),(119,1),(162,1)}
       139:{3,5,6}:{(110,1),(111,1),(161,1),(162,1),(163,1)}
       140:{1,2,7}:{(112,1),(113,1),(114,1)}
       141:{1,3,6,7}:{(113,1),(115,1),(118,1),(126,1),(164,1),(165,1),(195,1)}
       142:{2,3,6,7}:{(114,1),(115,1),(119,1),(160,1),(164,1),(166,1),(222,1)}
       143:{3,5,7}:{(115,1),(116,1),(120,1),(167,1)}
       144:{1,2,6}:{(117,1),(118,1),(119,1)}
       145:{1,3,5,6}:{(118,1),(120,1),(123,1),(128,1),(165,1),(168,1),(169,1),(176,1),(203,1)}
       146:{2,3,5,6}:{(119,1),(120,1),(124,1),(162,1),(166,1),(168,1),(170,1),(199,1),(203,1)}
       147:{4,6}:{(120,1),(125,1),(167,1)}
       148:{1,2,3,6}:{(121,1),(122,1),(171,1),(203,1),(226,1)}
       149:{1,2,5}:{(122,1),(123,1),(124,1)}
       150:{1,4,5}:{(123,1),(125,1),(169,1),(173,1)}
       151:{2,4,5}:{(124,1),(125,1),(170,1),(174,1)}
       152:{1,5,7}:{(126,1),(127,1),(128,1)}
       153:{4,5,7}:{(127,1),(129,1),(156,1),(167,1)}
       154:{1,4,5,6}:{(128,1),(129,1),(169,1),(175,1),(176,1)}
       155:{1,5,6,7}:{(130,1),(131,1),(152,1),(177,1)}
       156:{4,6,7}:{(131,1),(153,1)}
       157:{2,5,7}:{(132,1),(133,1),(135,1),(178,1)}
       158:{3,6,7}:{(133,1),(134,1),(178,1)}
       159:{1,5,6,7}:{(134,1),(137,1),(179,1),(228,1)}
       160:{2,4,6,7}:{(135,1),(136,1),(138,1),(142,1),(178,1),(180,1),(185,1)}
       161:{3,5,7}:{(136,1),(137,1),(139,1),(180,1),(181,1)}
       162:{2,5,6}:{(138,1),(139,1),(180,1)}
       163:{4,5,6}:{(139,1),(147,1),(181,1)}
       164:{1,2,6,7}:{(140,1),(141,1),(142,1),(144,1),(183,1),(210,1),(228,1)}
       165:{1,3,5,7}:{(141,1),(143,1),(145,1),(152,1),(183,1),(184,1),(193,1),(214,1)}
       166:{2,3,5,7}:{(142,1),(143,1),(146,1),(180,1),(183,1),(185,1),(212,1),(214,1)}
       167:{4,7}:{(143,1),(147,1)}
       168:{1,2,5,6}:{(144,1),(145,1),(146,1),(149,1),(183,1),(186,1),(194,1),(213,1)}
       169:{1,4,6}:{(145,1),(147,1),(150,1),(184,1),(187,1)}
       170:{2,4,6}:{(146,1),(147,1),(151,1),(185,1),(188,1)}
       171:{1,2,3,5}:{(148,1),(149,1),(189,1),(190,1),(221,1),(230,1)}
       172:{1,2,4,5}:{(149,1),(150,1),(151,1),(186,1),(189,1),(190,1),(191,1),(192,1),(221,1)}
       173:{3,4,5}:{(150,1),(187,1),(190,1),(191,1)}
       174:{3,4,5}:{(151,1),(188,1),(190,1),(192,1)}
       175:{1,4,5,7}:{(152,1),(153,1),(154,1),(177,1),(184,1),(193,1)}
       176:{3,5,6}:{(154,1),(187,1),(193,1),(194,1)}
       177:{1,4,6,7}:{(155,1),(156,1),(175,1),(195,1)}
       178:{2,6,7}:{(157,1),(158,1)}
       179:{3,5,6,7}:{(158,1),(159,1),(161,1),(196,1),(197,1),(222,1)}
       180:{2,5,7}:{(160,1),(161,1),(162,1)}
       181:{4,5,7}:{(161,1),(163,1),(167,1),(197,1)}
       182:{2,4,5,6}:{(162,1),(163,1),(170,1),(198,1),(199,1)}
       183:{1,2,5,7}:{(164,1),(165,1),(166,1),(168,1),(200,1),(209,1),(223,1)}
       184:{1,4,7}:{(165,1),(167,1),(169,1),(201,1)}
       185:{2,4,7}:{(166,1),(167,1),(170,1),(202,1)}
       186:{1,2,4,6}:{(168,1),(169,1),(170,1),(172,1),(200,1),(203,1),(204,1),(205,1),(226,1)}
       187:{3,4,6}:{(169,1),(173,1),(176,1),(201,1),(203,1),(204,1)}
       188:{3,4,6}:{(170,1),(174,1),(199,1),(202,1),(203,1),(205,1)}
       189:{1,2,4}:{(171,1),(206,1)}
       190:{3,5}:{(172,1),(203,1),(206,1)}
       191:{2,4,5}:{(173,1),(204,1),(208,1)}
       192:{1,4,5}:{(174,1),(205,1),(207,1)}
       193:{3,5,7}:{(175,1),(176,1),(195,1),(201,1),(209,1)}
       194:{2,5,6}:{(176,1),(204,1),(209,1)}
       195:{3,6,7}:{(177,1),(193,1),(210,1)}
       196:{2,5,6,7}:{(178,1),(179,1),(180,1),(211,1)}
       197:{4,6,7}:{(179,1),(181,1)}
       198:{2,4,5,7}:{(180,1),(181,1),(182,1),(185,1),(211,1),(212,1)}
       199:{3,5,6}:{(182,1),(188,1),(212,1),(213,1)}
       200:{1,2,4,7}:{(183,1),(184,1),(185,1),(186,1),(214,1),(215,1),(216,1),(229,1)}
       201:{3,4,7}:{(184,1),(187,1),(193,1),(214,1),(215,1)}
       202:{3,4,7}:{(185,1),(188,1),(212,1),(214,1),(216,1)}
       203:{3,6}:{(186,1),(190,1),(214,1)}
       204:{2,4,6}:{(187,1),(191,1),(194,1),(215,1),(218,1)}
       205:{1,4,6}:{(188,1),(192,1),(213,1),(216,1),(217,1)}
       206:{3,4}:{(189,1),(190,1)}
       207:{1,3,5}:{(190,1),(192,1),(217,1),(219,1),(221,1)}
       208:{2,3,5}:{(190,1),(191,1),(218,1),(220,1),(221,1)}
       209:{2,5,7}:{(193,1),(194,1),(210,1),(215,1)}
       210:{2,6,7}:{(195,1),(209,1)}
       211:{2,4,6,7}:{(196,1),(197,1),(198,1),(222,1)}
       212:{3,5,7}:{(198,1),(199,1),(202,1),(222,1),(223,1)}
       213:{1,5,6}:{(199,1),(205,1),(223,1)}
       214:{3,7}:{(200,1),(203,1)}
       215:{2,4,7}:{(201,1),(204,1),(209,1),(225,1)}
       216:{1,4,7}:{(202,1),(205,1),(223,1),(224,1)}
       217:{1,3,6}:{(203,1),(205,1),(207,1),(224,1),(226,1)}
       218:{2,3,6}:{(203,1),(204,1),(208,1),(225,1),(226,1)}
       219:{1,3,4}:{(206,1),(207,1),(227,1)}
       220:{2,3,4}:{(206,1),(208,1),(227,1)}
       221:{1,2,5}:{(207,1),(208,1),(226,1),(227,1)}
       222:{3,6,7}:{(211,1),(212,1),(228,1)}
       223:{1,5,7}:{(212,1),(213,1),(216,1),(228,1)}
       224:{1,3,7}:{(214,1),(216,1),(217,1),(229,1)}
       225:{2,3,7}:{(214,1),(215,1),(218,1),(229,1)}
       226:{1,2,6}:{(217,1),(218,1),(221,1),(229,1)}
       227:{1,2,4}:{(219,1),(220,1),(221,1),(230,1)}
       228:{1,6,7}:{(222,1),(223,1)}
       229:{1,2,7}:{(224,1),(225,1),(226,1)}
       230:{1,2,3}:{(227,1)}

 816 :   0:{1,2,3,7}:{(4,1),(5,1),(158,1),(200,1),(210,1)}
         1:{2,3,4,7}:{(4,1),(6,1),(7,1),(25,1),(94,1),(139,1),(158,1)}
         2:{1,2,3,5,7}:{(0,1),(8,1),(10,1),(11,1),(16,1),(18,1),(41,1),(43,1),(46,1),(49,1)}
         3:{3,4,5,7}:{(12,1),(13,1),(14,1),(46,1),(54,1),(65,1),(106,1),(110,1),(129,1),(174,1),(178,1)}
         4:{1,2,4,7}:{(0,1),(1,1),(15,1),(16,1),(17,1),(173,1)}
         5:{1,2,3,6}:{(0,1),(17,1),(18,1),(125,1),(190,1)}
         6:{2,3,5,7}:{(1,1),(12,1),(16,1),(19,1),(20,1),(46,1),(172,1),(217,1)}
         7:{2,3,4,6}:{(1,1),(17,1),(19,1),(20,1),(47,1),(62,1),(64,1),(125,1)}
         8:{1,2,3,7}:{(21,1),(22,1),(162,1),(196,1),(226,1)}
         9:{1,3,4,7}:{(21,1),(23,1),(24,1),(25,1),(92,1),(140,1),(196,1)}
        10:{1,2,4,7}:{(2,1),(25,1),(27,1),(36,1),(70,1)}
        11:{1,2,3,6}:{(2,1),(27,1),(34,1),(68,1),(75,1)}
        12:{2,4,5,7}:{(3,1),(6,1),(28,1),(39,1),(79,1),(94,1),(142,1),(201,1)}
        13:{1,4,5,7}:{(3,1),(23,1),(29,1),(73,1),(81,1),(96,1),(140,1),(163,1)}
        14:{3,4,6}:{(3,1),(28,1),(29,1),(31,1),(75,1),(146,1)}
        15:{1,3,4,7}:{(4,1),(25,1),(32,1),(33,1),(138,1),(155,1),(158,1)}
        16:{1,2,5,7}:{(4,1),(6,1),(32,1),(34,1),(35,1),(199,1),(226,1)}
        17:{1,2,4,6}:{(4,1),(5,1),(7,1),(33,1),(34,1),(35,1),(36,1)}
        18:{1,2,3,5}:{(5,1),(35,1),(36,1),(91,1),(161,1),(162,1)}
        19:{2,3,6}:{(6,1),(28,1),(34,1),(75,1)}
        20:{2,3,5}:{(7,1),(35,1),(39,1),(76,1),(91,1)}
        21:{1,2,4,7}:{(8,1),(9,1),(40,1),(41,1),(42,1),(128,1)}
        22:{1,2,3,6}:{(8,1),(42,1),(43,1),(170,1),(218,1)}
        23:{1,3,5,7}:{(9,1),(13,1),(41,1),(44,1),(45,1),(46,1),(126,1),(188,1)}
        24:{1,3,4,6}:{(9,1),(42,1),(44,1),(45,1),(47,1),(103,1),(105,1),(170,1)}
        25:{3,4,7}:{(10,1),(46,1),(47,1),(62,1),(103,1),(178,1)}
        26:{1,2,4,5,7}:{(10,1),(12,1),(13,1),(16,1),(41,1),(46,1),(48,1),(49,1),(56,1),(61,1),(97,1),(102,1),(110,1),(111,1),(124,1),(169,1),(178,1)}
        27:{1,2,4,6}:{(10,1),(11,1),(47,1),(49,1)}
        28:{2,4,6}:{(12,1),(14,1),(19,1),(51,1)}
        29:{1,4,6}:{(13,1),(14,1),(44,1),(53,1)}
        30:{3,4,6,7}:{(14,1),(50,1),(52,1),(54,1),(108,1),(118,1),(129,1),(174,1),(178,1),(179,1),(181,1)}
        31:{3,5,6}:{(14,1),(51,1),(53,1),(54,1),(55,1)}
        32:{1,3,5,7}:{(15,1),(16,1),(46,1),(56,1),(57,1),(58,1),(171,1),(216,1)}
        33:{1,3,4,6}:{(15,1),(17,1),(47,1),(57,1),(58,1),(62,1),(122,1),(125,1)}
        34:{1,2,6}:{(16,1),(19,1),(57,1)}
        35:{1,2,5}:{(17,1),(20,1),(58,1)}
        36:{1,2,4}:{(18,1),(62,1)}
        37:{2,3,6,7}:{(19,1),(50,1),(59,1),(63,1),(108,1),(179,1),(217,1)}
        38:{2,3,5,6}:{(19,1),(20,1),(51,1),(60,1),(63,1),(64,1),(109,1),(114,1),(125,1)}
        39:{2,4,5}:{(20,1),(64,1),(65,1),(110,1)}
        40:{2,3,4,7}:{(21,1),(25,1),(66,1),(67,1),(93,1),(193,1),(196,1)}
        41:{1,2,5,7}:{(21,1),(23,1),(66,1),(68,1),(69,1),(161,1),(210,1)}
        42:{1,2,4,6}:{(21,1),(22,1),(24,1),(67,1),(68,1),(69,1),(70,1)}
        43:{1,2,3,5}:{(22,1),(69,1),(70,1),(137,1),(199,1),(200,1)}
        44:{1,3,6}:{(23,1),(29,1),(68,1),(75,1)}
        45:{1,3,5}:{(24,1),(69,1),(73,1),(76,1),(137,1)}
        46:{3,5,7}:{(25,1),(26,1),(75,1),(76,1),(91,1),(137,1),(158,1),(196,1)}
        47:{3,4,6}:{(25,1),(27,1),(75,1),(76,1),(146,1)}
        48:{1,2,4,6}:{(26,1),(28,1),(29,1),(34,1),(68,1),(75,1),(78,1),(85,1),(131,1),(146,1)}
        49:{1,2,5}:{(27,1),(76,1)}
        50:{2,4,6,7}:{(28,1),(30,1),(37,1),(79,1),(94,1),(201,1),(205,1)}
        51:{2,5,6}:{(28,1),(31,1),(79,1)}
        52:{1,4,6,7}:{(29,1),(30,1),(71,1),(81,1),(140,1),(163,1),(204,1)}
        53:{1,5,6}:{(29,1),(31,1),(81,1)}
        54:{3,5,7}:{(30,1),(31,1),(79,1),(81,1),(84,1)}
        55:{4,5,6}:{(31,1),(84,1),(146,1)}
        56:{1,4,5,7}:{(32,1),(74,1),(85,1),(88,1),(153,1),(155,1),(195,1),(225,1)}
        57:{1,3,6}:{(32,1),(34,1),(75,1),(85,1)}
        58:{1,3,5}:{(33,1),(35,1),(76,1),(88,1),(91,1)}
        59:{1,2,6,7}:{(34,1),(37,1),(86,1),(89,1),(204,1),(226,1),(227,1)}
        60:{1,2,5,6}:{(34,1),(35,1),(38,1),(87,1),(89,1),(90,1),(149,1),(208,1)}
        61:{1,2,4,5}:{(35,1),(36,1),(39,1),(88,1),(90,1),(91,1),(96,1),(157,1),(161,1)}
        62:{3,4}:{(36,1),(91,1)}
        63:{2,3,5,7}:{(37,1),(38,1),(79,1),(89,1),(94,1),(145,1),(148,1),(158,1)}
        64:{2,4,6}:{(38,1),(39,1),(94,1),(95,1),(146,1)}
        65:{3,4,5}:{(39,1),(91,1),(95,1),(96,1)}
        66:{2,3,5,7}:{(40,1),(41,1),(46,1),(97,1),(98,1),(99,1),(127,1),(189,1)}
        67:{2,3,4,6}:{(40,1),(42,1),(47,1),(98,1),(99,1),(103,1),(167,1),(170,1)}
        68:{1,2,6}:{(41,1),(44,1),(98,1)}
        69:{1,2,5}:{(42,1),(45,1),(99,1)}
        70:{1,2,4}:{(43,1),(103,1)}
        71:{1,3,6,7}:{(44,1),(52,1),(100,1),(104,1),(108,1),(181,1),(188,1)}
        72:{1,3,5,6}:{(44,1),(45,1),(53,1),(101,1),(104,1),(105,1),(109,1),(117,1),(170,1)}
        73:{1,4,5}:{(45,1),(105,1),(106,1),(110,1)}
        74:{3,4,5,7}:{(46,1),(56,1),(97,1),(107,1),(110,1),(123,1),(168,1),(176,1),(178,1),(186,1),(214,1)}
        75:{3,6}:{(46,1),(48,1)}
        76:{3,5}:{(47,1),(49,1),(110,1)}
        77:{1,2,4,6,7}:{(48,1),(50,1),(52,1),(59,1),(100,1),(108,1),(111,1),(119,1),(124,1),(164,1),(169,1),(178,1)}
        78:{1,2,5,6}:{(48,1),(49,1),(51,1),(53,1),(109,1),(111,1),(120,1),(165,1)}
        79:{2,5,7}:{(50,1),(51,1),(54,1)}
        80:{2,4,5,6}:{(51,1),(55,1),(64,1),(113,1),(114,1)}
        81:{1,5,7}:{(52,1),(53,1),(54,1)}
        82:{1,4,5,6}:{(53,1),(55,1),(105,1),(116,1),(117,1)}
        83:{3,5,6,7}:{(54,1),(112,1),(115,1),(118,1),(179,1),(181,1)}
        84:{4,5,7}:{(54,1),(55,1),(118,1),(178,1)}
        85:{1,4,6}:{(56,1),(57,1),(107,1),(120,1)}
        86:{1,3,6,7}:{(57,1),(59,1),(108,1),(119,1),(121,1),(216,1),(220,1)}
        87:{1,3,5,6}:{(57,1),(58,1),(60,1),(109,1),(120,1),(121,1),(122,1),(125,1),(185,1)}
        88:{1,4,5}:{(58,1),(110,1),(122,1),(123,1)}
        89:{1,2,5,7}:{(59,1),(60,1),(63,1),(121,1),(124,1),(180,1),(221,1)}
        90:{1,2,4,6}:{(60,1),(61,1),(64,1),(122,1),(124,1),(125,1),(130,1),(187,1),(190,1)}
        91:{3,5}:{(61,1),(62,1),(125,1)}
        92:{1,3,4}:{(62,1),(126,1),(128,1)}
        93:{2,3,4}:{(62,1),(127,1),(128,1)}
        94:{2,4,7}:{(63,1),(64,1),(129,1),(178,1)}
        95:{3,4,6}:{(64,1),(65,1),(114,1),(125,1),(129,1),(130,1)}
        96:{1,4,5}:{(65,1),(126,1),(130,1)}
        97:{2,4,5,7}:{(66,1),(74,1),(131,1),(134,1),(157,1),(191,1),(193,1),(209,1)}
        98:{2,3,6}:{(66,1),(68,1),(75,1),(131,1)}
        99:{2,3,5}:{(67,1),(69,1),(76,1),(134,1),(137,1)}
       100:{1,2,6,7}:{(68,1),(71,1),(132,1),(135,1),(205,1),(210,1),(230,1)}
       101:{1,2,5,6}:{(68,1),(69,1),(72,1),(133,1),(135,1),(136,1),(152,1),(224,1)}
       102:{1,2,4,5}:{(69,1),(70,1),(73,1),(134,1),(136,1),(137,1),(142,1),(195,1),(199,1)}
       103:{3,4}:{(70,1),(137,1)}
       104:{1,3,5,7}:{(71,1),(72,1),(81,1),(135,1),(140,1),(145,1),(151,1),(196,1)}
       105:{1,4,6}:{(72,1),(73,1),(140,1),(141,1),(146,1)}
       106:{3,4,5}:{(73,1),(137,1),(141,1),(142,1)}
       107:{3,4,6}:{(74,1),(75,1),(85,1),(131,1),(144,1),(146,1)}
       108:{3,6,7}:{(75,1),(77,1),(145,1),(158,1),(196,1)}
       109:{3,5,6}:{(75,1),(76,1),(78,1),(145,1),(146,1)}
       110:{4,5}:{(76,1),(146,1)}
       111:{1,2,5,7}:{(77,1),(78,1),(79,1),(81,1),(145,1),(153,1),(191,1)}
       112:{2,5,6,7}:{(79,1),(83,1),(147,1),(205,1)}
       113:{2,4,5,7}:{(79,1),(80,1),(84,1),(94,1),(147,1),(148,1)}
       114:{3,5,6}:{(80,1),(95,1),(148,1),(149,1)}
       115:{1,5,6,7}:{(81,1),(83,1),(150,1),(204,1)}
       116:{1,4,5,7}:{(81,1),(82,1),(84,1),(140,1),(150,1),(151,1)}
       117:{3,5,6}:{(82,1),(141,1),(151,1),(152,1)}
       118:{4,6,7}:{(83,1),(84,1)}
       119:{1,4,6,7}:{(85,1),(86,1),(143,1),(153,1),(155,1),(225,1),(230,1)}
       120:{1,5,6}:{(85,1),(144,1),(153,1)}
       121:{1,3,5,7}:{(86,1),(87,1),(89,1),(145,1),(153,1),(155,1),(158,1),(207,1)}
       122:{1,4,6}:{(87,1),(88,1),(146,1),(155,1),(156,1)}
       123:{3,4,5}:{(88,1),(91,1),(156,1),(157,1)}
       124:{1,2,4,7}:{(89,1),(90,1),(94,1),(155,1),(158,1),(163,1),(209,1),(210,1)}
       125:{3,6}:{(90,1),(91,1),(158,1)}
       126:{1,3,5}:{(91,1),(92,1),(96,1),(159,1),(161,1)}
       127:{2,3,5}:{(91,1),(93,1),(157,1),(160,1),(161,1)}
       128:{1,2,4}:{(92,1),(93,1),(161,1),(162,1)}
       129:{3,4,7}:{(94,1),(95,1),(148,1),(158,1),(163,1)}
       130:{1,4,6}:{(95,1),(96,1),(149,1),(159,1),(163,1)}
       131:{2,4,6}:{(97,1),(98,1),(107,1),(165,1)}
       132:{2,3,6,7}:{(98,1),(100,1),(108,1),(164,1),(166,1),(189,1),(228,1)}
       133:{2,3,5,6}:{(98,1),(99,1),(101,1),(109,1),(165,1),(166,1),(167,1),(170,1),(213,1)}
       134:{2,4,5}:{(99,1),(110,1),(167,1),(168,1)}
       135:{1,2,5,7}:{(100,1),(101,1),(104,1),(166,1),(169,1),(182,1),(229,1)}
       136:{1,2,4,6}:{(101,1),(102,1),(105,1),(167,1),(169,1),(170,1),(175,1),(215,1),(218,1)}
       137:{3,5}:{(102,1),(103,1),(170,1)}
       138:{1,3,4}:{(103,1),(171,1),(173,1)}
       139:{2,3,4}:{(103,1),(172,1),(173,1)}
       140:{1,4,7}:{(104,1),(105,1),(174,1),(178,1)}
       141:{3,4,6}:{(105,1),(106,1),(117,1),(170,1),(174,1),(175,1)}
       142:{2,4,5}:{(106,1),(172,1),(175,1)}
       143:{3,4,6,7}:{(107,1),(108,1),(119,1),(164,1),(176,1),(178,1),(186,1),(214,1),(219,1),(220,1),(228,1)}
       144:{3,5,6}:{(107,1),(120,1),(165,1),(176,1),(177,1)}
       145:{3,5,7}:{(108,1),(109,1),(111,1),(178,1)}
       146:{4,6}:{(109,1),(110,1),(178,1)}
       147:{2,4,6,7}:{(112,1),(113,1),(118,1),(179,1)}
       148:{3,5,7}:{(113,1),(114,1),(129,1),(179,1),(180,1)}
       149:{1,5,6}:{(114,1),(130,1),(180,1)}
       150:{1,4,6,7}:{(115,1),(116,1),(118,1),(181,1)}
       151:{3,5,7}:{(116,1),(117,1),(174,1),(181,1),(182,1)}
       152:{2,5,6}:{(117,1),(175,1),(182,1)}
       153:{1,5,7}:{(119,1),(120,1),(176,1)}
       154:{1,4,5,6}:{(120,1),(122,1),(177,1),(184,1),(185,1)}
       155:{1,4,7}:{(121,1),(122,1),(178,1),(186,1)}
       156:{3,4,6}:{(122,1),(123,1),(125,1),(185,1),(186,1),(187,1)}
       157:{2,4,5}:{(123,1),(127,1),(187,1)}
       158:{3,7}:{(124,1),(125,1)}
       159:{1,3,6}:{(125,1),(126,1),(130,1),(188,1),(190,1)}
       160:{2,3,6}:{(125,1),(127,1),(187,1),(189,1),(190,1)}
       161:{1,2,5}:{(126,1),(127,1),(128,1),(190,1)}
       162:{1,2,3}:{(128,1)}
       163:{1,4,7}:{(129,1),(130,1),(180,1),(188,1)}
       164:{2,4,6,7}:{(131,1),(132,1),(143,1),(191,1),(193,1),(209,1),(227,1)}
       165:{2,5,6}:{(131,1),(144,1),(191,1)}
       166:{2,3,5,7}:{(132,1),(133,1),(135,1),(145,1),(191,1),(193,1),(196,1),(223,1)}
       167:{2,4,6}:{(133,1),(134,1),(146,1),(193,1),(194,1)}
       168:{3,4,5}:{(134,1),(137,1),(194,1),(195,1)}
       169:{1,2,4,7}:{(135,1),(136,1),(140,1),(193,1),(196,1),(201,1),(225,1),(226,1)}
       170:{3,6}:{(136,1),(137,1),(196,1)}
       171:{1,3,5}:{(137,1),(138,1),(195,1),(197,1),(199,1)}
       172:{2,3,5}:{(137,1),(139,1),(142,1),(198,1),(199,1)}
       173:{1,2,4}:{(138,1),(139,1),(199,1),(200,1)}
       174:{3,4,7}:{(140,1),(141,1),(151,1),(196,1),(201,1)}
       175:{2,4,6}:{(141,1),(142,1),(152,1),(198,1),(201,1)}
       176:{3,5,7}:{(143,1),(144,1),(153,1),(191,1),(203,1)}
       177:{4,5,6}:{(144,1),(146,1),(203,1)}
       178:{4,7}:{(145,1),(146,1)}
       179:{3,6,7}:{(147,1),(148,1),(204,1)}
       180:{1,5,7}:{(148,1),(149,1),(163,1),(204,1)}
       181:{3,6,7}:{(150,1),(151,1),(205,1)}
       182:{2,5,7}:{(151,1),(152,1),(201,1),(205,1)}
       183:{1,5,6,7}:{(153,1),(202,1),(206,1),(230,1)}
       184:{1,4,5,7}:{(153,1),(154,1),(155,1),(203,1),(206,1),(207,1)}
       185:{3,5,6}:{(154,1),(156,1),(207,1),(208,1)}
       186:{3,4,7}:{(155,1),(156,1),(158,1),(207,1),(209,1)}
       187:{2,4,6}:{(156,1),(157,1),(160,1),(208,1),(209,1)}
       188:{1,3,7}:{(158,1),(159,1),(163,1),(210,1)}
       189:{2,3,7}:{(158,1),(160,1),(209,1),(210,1)}
       190:{1,2,6}:{(159,1),(160,1),(161,1),(210,1)}
       191:{2,5,7}:{(164,1),(165,1),(176,1)}
       192:{2,4,5,6}:{(165,1),(167,1),(177,1),(212,1),(213,1)}
       193:{2,4,7}:{(166,1),(167,1),(178,1),(214,1)}
       194:{3,4,6}:{(167,1),(168,1),(170,1),(213,1),(214,1),(215,1)}
       195:{1,4,5}:{(168,1),(171,1),(215,1)}
       196:{3,7}:{(169,1),(170,1)}
       197:{1,3,6}:{(170,1),(171,1),(215,1),(216,1),(218,1)}
       198:{2,3,6}:{(170,1),(172,1),(175,1),(217,1),(218,1)}
       199:{1,2,5}:{(171,1),(172,1),(173,1),(218,1)}
       200:{1,2,3}:{(173,1)}
       201:{2,4,7}:{(174,1),(175,1),(182,1),(217,1)}
       202:{3,5,6,7}:{(176,1),(183,1),(211,1),(219,1),(220,1),(228,1)}
       203:{4,5,7}:{(176,1),(177,1),(178,1),(219,1)}
       204:{1,6,7}:{(179,1),(180,1)}
       205:{2,6,7}:{(181,1),(182,1)}
       206:{1,4,6,7}:{(183,1),(184,1),(219,1),(220,1)}
       207:{3,5,7}:{(184,1),(185,1),(186,1),(220,1),(221,1)}
       208:{2,5,6}:{(185,1),(187,1),(221,1)}
       209:{2,4,7}:{(186,1),(187,1),(189,1),(221,1)}
       210:{1,2,7}:{(188,1),(189,1),(190,1)}
       211:{2,5,6,7}:{(191,1),(202,1),(222,1),(227,1)}
       212:{2,4,5,7}:{(191,1),(192,1),(193,1),(203,1),(222,1),(223,1)}
       213:{3,5,6}:{(192,1),(194,1),(223,1),(224,1)}
       214:{3,4,7}:{(193,1),(194,1),(196,1),(223,1),(225,1)}
       215:{1,4,6}:{(194,1),(195,1),(197,1),(224,1),(225,1)}
       216:{1,3,7}:{(196,1),(197,1),(225,1),(226,1)}
       217:{2,3,7}:{(196,1),(198,1),(201,1),(226,1)}
       218:{1,2,6}:{(197,1),(198,1),(199,1),(226,1)}
       219:{4,6,7}:{(202,1),(203,1)}
       220:{3,6,7}:{(206,1),(207,1),(227,1)}
       221:{2,5,7}:{(207,1),(208,1),(209,1),(227,1)}
       222:{2,4,6,7}:{(211,1),(212,1),(219,1),(228,1)}
       223:{3,5,7}:{(212,1),(213,1),(214,1),(228,1),(229,1)}
       224:{1,5,6}:{(213,1),(215,1),(229,1)}
       225:{1,4,7}:{(214,1),(215,1),(216,1),(229,1)}
       226:{1,2,7}:{(216,1),(217,1),(218,1)}
       227:{2,6,7}:{(220,1),(221,1)}
       228:{3,6,7}:{(222,1),(223,1),(230,1)}
       229:{1,5,7}:{(223,1),(224,1),(225,1),(230,1)}
       230:{1,6,7}:{(228,1),(229,1)}

 817 :   0:{1,3,5,7}:{(3,1),(4,1),(5,1),(23,1),(25,1),(29,1),(60,1)}
         1:{2,3,5,7}:{(3,1),(6,1),(7,1),(8,1),(25,1),(32,1),(60,1)}
         2:{2,4,5,7}:{(6,1),(8,1),(9,1),(22,1),(32,1),(52,1),(64,1)}
         3:{1,2,5,7}:{(0,1),(1,1),(12,1),(13,1),(18,1),(38,1),(44,1)}
         4:{1,4,7}:{(0,1),(14,1),(15,1),(74,1),(101,1)}
         5:{1,3,6}:{(0,1),(13,1),(15,1),(39,1),(43,1),(102,1)}
         6:{2,4,7}:{(1,1),(16,1),(17,1),(74,1),(88,1)}
         7:{2,3,6}:{(1,1),(13,1),(17,1),(19,1),(43,1),(103,1)}
         8:{3,5,7}:{(2,1),(16,1),(18,1),(19,1),(48,1)}
         9:{2,4,6}:{(2,1),(19,1),(20,1),(50,1)}
        10:{2,4,6,7}:{(9,1),(21,1),(22,1),(52,1)}
        11:{1,4,5,7}:{(4,1),(23,1),(24,1),(29,1),(54,1),(62,1),(80,1)}
        12:{1,2,4,7}:{(3,1),(4,1),(6,1),(25,1),(26,1),(27,1),(30,1),(57,1)}
        13:{1,2,6}:{(3,1),(5,1),(7,1),(33,1),(55,1),(104,1)}
        14:{3,4,7}:{(4,1),(23,1),(25,1),(27,1),(28,1),(80,1),(96,1)}
        15:{1,4,6}:{(4,1),(5,1),(28,1),(29,1),(97,1),(100,1)}
        16:{3,4,7}:{(6,1),(8,1),(25,1),(30,1),(31,1),(52,1),(78,1)}
        17:{2,4,6}:{(6,1),(7,1),(31,1),(32,1),(87,1),(99,1)}
        18:{1,5,7}:{(8,1),(30,1),(33,1),(63,1)}
        19:{3,6}:{(8,1),(9,1),(33,1)}
        20:{2,5,6}:{(9,1),(22,1),(32,1),(34,1),(87,1)}
        21:{3,6,7}:{(10,1),(19,1),(35,1),(36,1)}
        22:{2,5,7}:{(10,1),(20,1),(36,1),(88,1)}
        23:{3,5,7}:{(11,1),(14,1),(38,1),(39,1),(46,1)}
        24:{1,4,6}:{(11,1),(39,1),(40,1),(70,1)}
        25:{3,7}:{(12,1),(43,1)}
        26:{1,2,4,6}:{(12,1),(13,1),(15,1),(17,1),(43,1),(44,1),(45,1),(47,1),(71,1),(74,1),(91,1)}
        27:{2,4,7}:{(14,1),(38,1),(42,1),(45,1)}
        28:{3,4,6}:{(14,1),(15,1),(39,1),(43,1),(45,1),(46,1),(70,1),(74,1),(90,1),(93,1)}
        29:{1,5}:{(15,1),(46,1)}
        30:{1,4,7}:{(16,1),(18,1),(41,1),(47,1)}
        31:{3,4,6}:{(16,1),(17,1),(19,1),(43,1),(47,1),(48,1),(50,1),(74,1),(77,1),(92,1)}
        32:{2,5}:{(17,1),(48,1)}
        33:{1,6}:{(18,1),(19,1)}
        34:{3,5,6}:{(19,1),(20,1),(36,1),(48,1),(49,1),(50,1),(77,1)}
        35:{1,6,7}:{(21,1),(33,1),(51,1)}
        36:{3,5,7}:{(21,1),(22,1),(34,1),(51,1),(52,1),(78,1)}
        37:{1,4,6,7}:{(24,1),(53,1),(54,1),(80,1)}
        38:{2,5,7}:{(23,1),(27,1),(55,1),(61,1)}
        39:{3,6}:{(23,1),(24,1),(55,1)}
        40:{1,5,6}:{(24,1),(29,1),(54,1),(56,1),(97,1)}
        41:{1,3,7}:{(25,1),(30,1),(57,1),(58,1),(78,1)}
        42:{2,3,7}:{(25,1),(27,1),(57,1),(59,1),(96,1)}
        43:{3,6}:{(25,1),(26,1),(60,1),(98,1)}
        44:{1,2,5}:{(26,1),(29,1),(32,1),(60,1),(61,1),(63,1)}
        45:{2,4,6}:{(27,1),(28,1),(55,1),(59,1),(61,1),(84,1)}
        46:{3,5}:{(28,1),(29,1),(61,1),(62,1)}
        47:{1,4,6}:{(30,1),(31,1),(33,1),(58,1),(63,1),(83,1)}
        48:{3,5}:{(31,1),(32,1),(63,1),(64,1)}
        49:{1,5,6}:{(33,1),(34,1),(51,1),(63,1),(65,1)}
        50:{4,6}:{(34,1),(52,1),(64,1)}
        51:{1,5,7}:{(35,1),(36,1),(49,1),(66,1)}
        52:{4,7}:{(36,1),(50,1)}
        53:{3,6,7}:{(37,1),(39,1),(67,1),(68,1)}
        54:{1,5,7}:{(37,1),(40,1),(68,1),(101,1)}
        55:{2,6}:{(38,1),(39,1)}
        56:{3,5,6}:{(39,1),(40,1),(46,1),(68,1),(69,1),(70,1),(90,1)}
        57:{1,2,7}:{(41,1),(42,1),(71,1),(88,1),(101,1)}
        58:{1,3,6}:{(41,1),(43,1),(47,1),(71,1),(72,1),(77,1)}
        59:{2,3,6}:{(42,1),(43,1),(45,1),(71,1),(73,1),(90,1)}
        60:{3,5}:{(43,1),(44,1),(74,1)}
        61:{2,5}:{(45,1),(46,1)}
        62:{4,5}:{(46,1),(70,1),(74,1)}
        63:{1,5}:{(47,1),(48,1)}
        64:{4,5}:{(48,1),(50,1),(74,1)}
        65:{1,4,6}:{(49,1),(50,1),(66,1),(76,1),(77,1)}
        66:{1,4,7}:{(51,1),(52,1),(65,1),(78,1)}
        67:{2,6,7}:{(53,1),(55,1),(79,1)}
        68:{3,5,7}:{(53,1),(54,1),(56,1),(79,1),(80,1),(96,1)}
        69:{2,5,6}:{(55,1),(56,1),(61,1),(79,1),(81,1)}
        70:{4,6}:{(56,1),(62,1),(80,1)}
        71:{1,2,6}:{(57,1),(58,1),(59,1),(82,1),(87,1),(97,1)}
        72:{1,3,5}:{(58,1),(60,1),(63,1),(82,1),(83,1),(86,1),(98,1)}
        73:{2,3,5}:{(59,1),(60,1),(61,1),(82,1),(84,1),(85,1),(98,1)}
        74:{4}:{(60,1)}
        75:{2,4,5}:{(61,1),(62,1),(81,1),(84,1),(85,1)}
        76:{1,4,5}:{(63,1),(64,1),(65,1),(83,1),(86,1)}
        77:{3,6}:{(65,1),(78,1),(86,1),(87,1)}
        78:{3,7}:{(66,1),(77,1),(88,1)}
        79:{2,5,7}:{(67,1),(68,1),(69,1),(89,1)}
        80:{4,7}:{(68,1),(70,1)}
        81:{2,4,6}:{(69,1),(70,1),(75,1),(89,1),(90,1)}
        82:{1,2,5}:{(71,1),(72,1),(73,1),(91,1),(94,1),(95,1)}
        83:{1,4}:{(72,1),(74,1),(92,1)}
        84:{2,4}:{(73,1),(74,1),(93,1)}
        85:{3,5}:{(75,1),(90,1),(93,1),(94,1)}
        86:{3,5}:{(76,1),(77,1),(92,1),(95,1)}
        87:{2,6}:{(77,1),(88,1),(95,1)}
        88:{2,7}:{(78,1),(87,1)}
        89:{2,4,7}:{(79,1),(80,1),(81,1),(96,1)}
        90:{3,6}:{(81,1),(85,1),(96,1),(97,1)}
        91:{1,2,4}:{(82,1),(83,1),(84,1),(98,1),(99,1),(100,1),(104,1)}
        92:{3,4}:{(83,1),(86,1),(98,1),(99,1)}
        93:{3,4}:{(84,1),(85,1),(98,1),(100,1)}
        94:{1,5}:{(85,1),(97,1),(100,1)}
        95:{2,5}:{(86,1),(87,1),(99,1)}
        96:{3,7}:{(89,1),(90,1),(101,1)}
        97:{1,6}:{(90,1),(94,1),(101,1)}
        98:{3}:{(91,1)}
        99:{2,4}:{(92,1),(95,1),(103,1)}
       100:{1,4}:{(93,1),(94,1),(102,1)}
       101:{1,7}:{(96,1),(97,1)}
       102:{1,3}:{(98,1),(100,1),(104,1)}
       103:{2,3}:{(98,1),(99,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

 818 :   0:{1,2,3}:{(4,1)}
         1:{2,3,4}:{(4,1),(5,1),(18,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(8,1),(9,1),(14,1),(30,1),(33,1),(34,1)}
         3:{3,4,5}:{(10,1),(11,1),(12,1),(33,1),(66,1)}
         4:{1,2,4}:{(0,1),(1,1),(13,1),(14,1)}
         5:{2,3,5}:{(1,1),(10,1),(14,1),(15,1),(33,1)}
         6:{1,2,3}:{(16,1)}
         7:{1,3,4}:{(16,1),(17,1),(18,1)}
         8:{1,2,3,6}:{(2,1),(19,1),(20,1),(27,1),(47,1),(52,1)}
         9:{1,2,4}:{(2,1),(18,1)}
        10:{2,4,5}:{(3,1),(5,1),(22,1)}
        11:{1,4,5}:{(3,1),(17,1),(23,1)}
        12:{3,4,6}:{(3,1),(22,1),(23,1),(24,1),(25,1),(52,1),(81,1)}
        13:{1,3,4}:{(4,1),(18,1),(26,1)}
        14:{1,2,5}:{(4,1),(5,1),(26,1),(27,1)}
        15:{2,3,6}:{(5,1),(22,1),(27,1),(28,1),(52,1)}
        16:{1,2,4}:{(6,1),(7,1),(29,1),(30,1)}
        17:{1,3,5}:{(7,1),(11,1),(30,1),(31,1),(33,1)}
        18:{3,4}:{(9,1),(33,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(32,1),(34,1),(35,1),(71,1)}
        20:{1,2,3,7}:{(8,1),(35,1),(45,1),(64,1),(69,1)}
        21:{1,2,4,5}:{(9,1),(10,1),(11,1),(14,1),(30,1),(33,1),(34,1),(36,1),(43,1),(62,1),(66,1)}
        22:{2,4,6}:{(10,1),(12,1),(15,1),(37,1),(38,1)}
        23:{1,4,6}:{(11,1),(12,1),(31,1),(39,1),(40,1)}
        24:{3,5,6}:{(12,1),(37,1),(39,1),(41,1),(42,1)}
        25:{3,4,7}:{(12,1),(38,1),(40,1),(42,1),(69,1),(92,1)}
        26:{1,3,5}:{(13,1),(14,1),(33,1),(43,1),(44,1)}
        27:{1,2,6}:{(14,1),(15,1),(44,1),(45,1)}
        28:{2,3,7}:{(15,1),(38,1),(45,1),(69,1)}
        29:{2,3,4}:{(16,1),(18,1),(46,1)}
        30:{1,2,5}:{(16,1),(17,1),(46,1),(47,1)}
        31:{1,3,6}:{(17,1),(23,1),(47,1),(48,1),(52,1)}
        32:{3,4,6}:{(18,1),(19,1),(50,1),(51,1),(52,1),(81,1),(84,1)}
        33:{3,5}:{(18,1),(21,1),(52,1)}
        34:{1,2,5}:{(19,1),(50,1)}
        35:{1,2,4,7}:{(19,1),(20,1),(51,1),(54,1)}
        36:{1,2,4,6}:{(21,1),(22,1),(23,1),(27,1),(47,1),(52,1),(53,1),(55,1),(60,1),(77,1),(81,1)}
        37:{2,5,6}:{(22,1),(24,1),(56,1)}
        38:{2,4,7}:{(22,1),(25,1),(28,1),(56,1)}
        39:{1,5,6}:{(23,1),(24,1),(57,1)}
        40:{1,4,7}:{(23,1),(25,1),(48,1),(57,1)}
        41:{4,5,6}:{(24,1),(58,1),(81,1),(100,1)}
        42:{3,5,7}:{(24,1),(25,1),(56,1),(57,1),(58,1),(59,1)}
        43:{1,4,5}:{(26,1),(49,1),(60,1)}
        44:{1,3,6}:{(26,1),(27,1),(52,1),(60,1),(61,1)}
        45:{1,2,7}:{(27,1),(28,1),(61,1)}
        46:{2,3,5}:{(29,1),(30,1),(33,1),(62,1),(63,1)}
        47:{1,2,6}:{(30,1),(31,1),(63,1),(64,1)}
        48:{1,3,7}:{(31,1),(40,1),(64,1),(69,1)}
        49:{3,4,5}:{(33,1),(43,1),(62,1),(65,1),(66,1)}
        50:{3,5}:{(32,1),(34,1),(66,1)}
        51:{3,4,7}:{(32,1),(35,1),(68,1),(69,1),(92,1)}
        52:{3,6}:{(33,1),(36,1),(69,1)}
        53:{1,2,5,6}:{(34,1),(36,1),(37,1),(39,1),(67,1),(70,1),(71,1),(75,1),(88,1)}
        54:{1,2,5,7}:{(34,1),(35,1),(68,1),(71,1)}
        55:{1,2,4,7}:{(36,1),(38,1),(40,1),(45,1),(64,1),(69,1),(70,1),(76,1),(89,1),(92,1)}
        56:{2,5,7}:{(37,1),(38,1),(42,1),(72,1)}
        57:{1,5,7}:{(39,1),(40,1),(42,1),(73,1)}
        58:{4,5,7}:{(41,1),(42,1),(74,1),(92,1),(103,1)}
        59:{3,6,7}:{(42,1),(72,1),(73,1),(74,1)}
        60:{1,4,6}:{(43,1),(44,1),(65,1),(75,1),(76,1)}
        61:{1,3,7}:{(44,1),(45,1),(69,1),(76,1)}
        62:{2,4,5}:{(46,1),(49,1),(77,1)}
        63:{2,3,6}:{(46,1),(47,1),(52,1),(77,1),(78,1)}
        64:{1,2,7}:{(47,1),(48,1),(78,1)}
        65:{3,4,6}:{(49,1),(52,1),(60,1),(77,1),(79,1),(80,1),(81,1)}
        66:{4,5}:{(50,1),(81,1)}
        67:{3,5,6}:{(50,1),(52,1),(53,1),(81,1),(83,1),(84,1),(100,1)}
        68:{3,5,7}:{(50,1),(51,1),(54,1),(82,1),(84,1)}
        69:{3,7}:{(52,1),(55,1)}
        70:{1,2,5,7}:{(53,1),(55,1),(56,1),(57,1),(83,1),(85,1),(87,1),(96,1)}
        71:{1,2,6}:{(54,1),(84,1)}
        72:{2,6,7}:{(56,1),(59,1)}
        73:{1,6,7}:{(57,1),(59,1)}
        74:{4,6,7}:{(58,1),(59,1),(86,1)}
        75:{1,5,6}:{(60,1),(79,1),(87,1)}
        76:{1,4,7}:{(60,1),(61,1),(80,1),(87,1)}
        77:{2,4,6}:{(62,1),(63,1),(65,1),(88,1),(89,1)}
        78:{2,3,7}:{(63,1),(64,1),(69,1),(89,1)}
        79:{3,5,6}:{(65,1),(75,1),(88,1),(90,1),(91,1)}
        80:{3,4,7}:{(65,1),(69,1),(76,1),(89,1),(91,1),(92,1)}
        81:{4,6}:{(66,1),(67,1),(92,1)}
        82:{4,5,7}:{(66,1),(68,1),(92,1),(93,1),(103,1)}
        83:{3,5,7}:{(67,1),(69,1),(70,1),(92,1),(94,1),(103,1)}
        84:{3,6}:{(68,1),(71,1),(93,1)}
        85:{1,2,6,7}:{(70,1),(71,1),(72,1),(73,1),(94,1),(95,1),(101,1)}
        86:{5,6,7}:{(74,1),(103,1)}
        87:{1,5,7}:{(75,1),(76,1),(91,1),(95,1)}
        88:{2,5,6}:{(77,1),(79,1),(96,1)}
        89:{2,4,7}:{(77,1),(78,1),(80,1),(96,1)}
        90:{4,5,6}:{(79,1),(81,1),(97,1),(100,1)}
        91:{3,5,7}:{(79,1),(80,1),(87,1),(96,1),(97,1),(98,1)}
        92:{4,7}:{(81,1),(83,1)}
        93:{4,6}:{(82,1),(84,1),(100,1)}
        94:{3,6,7}:{(83,1),(84,1),(85,1),(99,1)}
        95:{1,6,7}:{(87,1),(98,1)}
        96:{2,5,7}:{(88,1),(89,1),(91,1),(101,1)}
        97:{4,5,7}:{(90,1),(91,1),(92,1),(102,1),(103,1)}
        98:{3,6,7}:{(91,1),(95,1),(101,1),(102,1)}
        99:{4,6,7}:{(92,1),(93,1),(94,1),(103,1)}
       100:{5,6}:{(93,1),(103,1)}
       101:{2,6,7}:{(96,1),(98,1)}
       102:{4,6,7}:{(97,1),(98,1),(104,1)}
       103:{5,7}:{(99,1),(100,1)}
       104:{5,6,7}:{(102,1),(103,1)}

 819 :   0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(25,1),(29,1),(31,1),(52,1),(58,1),(79,1),(86,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(38,1),(69,1),(96,1),(102,1)}
         2:{1,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(74,1),(101,1)}
         3:{1,3,5,6}:{(2,1),(8,1),(9,1),(27,1),(29,1)}
         4:{2,3,6,7}:{(1,1),(10,1),(29,1),(111,1),(115,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(114,1)}
         6:{1,4,5,7}:{(2,1),(9,1),(12,1),(79,1),(87,1)}
         7:{1,3,5,6,7}:{(3,1),(13,1),(14,1),(35,1),(37,1),(63,1),(123,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(40,1),(74,1)}
         9:{1,4,6}:{(3,1),(6,1),(18,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(125,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(45,1),(47,1),(74,1),(96,1),(103,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(49,1),(81,1),(83,1),(112,1)}
        14:{1,4,6,7}:{(7,1),(9,1),(22,1),(25,1),(79,1),(131,1)}
        15:{1,4,5,6}:{(9,1),(22,1),(27,1)}
        16:{2,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(27,1),(29,1),(30,1)}
        19:{2,4,7}:{(10,1),(28,1),(31,1),(132,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(111,1),(116,1)}
        21:{2,4,5,7}:{(12,1),(30,1),(33,1),(49,1),(80,1),(88,1)}
        22:{1,4,5,7}:{(14,1),(15,1),(35,1),(136,1)}
        23:{2,3,5,6,7}:{(13,1),(16,1),(36,1),(37,1),(64,1),(66,1),(98,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(36,1),(37,1),(38,1),(67,1),(69,1),(96,1),(121,1)}
        25:{3,4,6,7}:{(14,1),(18,1),(35,1),(37,1),(38,1),(62,1),(135,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(39,1),(40,1),(41,1),(65,1),(71,1),(72,1),(73,1),(74,1),(97,1),(103,1),(121,1),(136,1),(139,1)}
        27:{3,5,6}:{(15,1),(18,1),(35,1),(40,1)}
        28:{2,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{2,4,6}:{(18,1),(21,1),(40,1),(44,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(45,1),(126,1)}
        32:{1,3,5,7}:{(20,1),(43,1),(45,1),(47,1),(74,1),(77,1),(105,1)}
        33:{2,3,5,7}:{(20,1),(21,1),(44,1),(46,1),(47,1),(75,1)}
        34:{1,2,4,5,7}:{(22,1),(24,1),(26,1),(48,1),(49,1),(50,1),(79,1),(80,1),(81,1),(83,1)}
        35:{3,5,7}:{(22,1),(25,1),(27,1),(49,1),(138,1)}
        36:{2,4,6,7}:{(23,1),(28,1),(50,1),(51,1),(80,1),(109,1)}
        37:{3,6,7}:{(24,1),(29,1),(48,1),(111,1),(129,1)}
        38:{2,4,6,7}:{(25,1),(30,1),(49,1),(53,1),(80,1),(137,1)}
        39:{3,5,6}:{(26,1),(29,1),(48,1),(54,1),(57,1),(116,1),(129,1),(138,1)}
        40:{2,5,6}:{(27,1),(30,1),(49,1)}
        41:{2,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(58,1)}
        43:{1,3,6}:{(29,1),(32,1),(58,1),(60,1)}
        44:{2,3,6}:{(29,1),(30,1),(33,1),(60,1)}
        45:{1,4,7}:{(31,1),(32,1),(58,1),(117,1)}
        46:{2,3,4,7}:{(31,1),(33,1),(59,1),(61,1),(80,1),(111,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(37,1),(39,1),(62,1)}
        49:{2,5,7}:{(35,1),(38,1),(40,1),(139,1)}
        50:{2,4,5,7}:{(36,1),(41,1),(65,1),(66,1)}
        51:{3,4,6,7}:{(36,1),(37,1),(42,1),(62,1),(66,1),(67,1),(93,1)}
        52:{1,3,6,7}:{(37,1),(43,1),(63,1),(67,1),(69,1),(118,1)}
        53:{2,3,6,7}:{(37,1),(38,1),(44,1),(64,1),(69,1),(133,1)}
        54:{3,4,6}:{(39,1),(62,1),(70,1),(71,1),(72,1),(104,1),(126,1)}
        55:{1,3,5,6}:{(39,1),(43,1),(63,1),(71,1),(73,1),(74,1),(97,1),(101,1),(104,1),(105,1),(118,1)}
        56:{2,3,5,6}:{(39,1),(40,1),(44,1),(64,1),(72,1),(73,1),(75,1),(104,1),(125,1),(133,1),(139,1)}
        57:{3,5}:{(41,1),(42,1),(74,1)}
        58:{1,4,6}:{(42,1),(43,1),(45,1),(74,1)}
        59:{2,3,4,6}:{(42,1),(44,1),(46,1),(72,1),(75,1),(76,1),(104,1),(126,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(54,1),(79,1),(80,1),(111,1)}
        63:{1,3,5,7}:{(48,1),(52,1),(55,1),(79,1),(81,1),(83,1),(111,1)}
        64:{2,3,5,7}:{(48,1),(49,1),(53,1),(56,1),(80,1),(81,1),(111,1)}
        65:{2,4,5,6}:{(50,1),(82,1),(109,1)}
        66:{3,5,7}:{(50,1),(51,1),(57,1),(82,1),(83,1)}
        67:{1,4,6,7}:{(51,1),(52,1),(58,1),(79,1),(83,1),(108,1)}
        68:{2,3,4,6,7}:{(51,1),(53,1),(59,1),(80,1),(84,1),(85,1),(109,1),(111,1),(129,1),(130,1),(137,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(60,1),(81,1),(127,1)}
        70:{3,4,5}:{(54,1),(57,1),(87,1),(88,1),(116,1),(138,1)}
        71:{1,4,6}:{(54,1),(55,1),(79,1),(87,1),(117,1)}
        72:{2,4,6}:{(54,1),(56,1),(80,1),(88,1),(132,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(60,1),(81,1),(89,1),(90,1),(114,1),(127,1)}
        74:{1,5}:{(57,1),(58,1)}
        75:{2,3,5}:{(57,1),(59,1),(88,1),(90,1),(116,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{1,3,7}:{(61,1),(91,1),(111,1)}
        78:{3,4,5,7}:{(62,1),(66,1),(70,1),(93,1),(94,1),(95,1),(122,1)}
        79:{1,4,7}:{(62,1),(63,1),(71,1)}
        80:{2,4,7}:{(62,1),(64,1),(72,1)}
        81:{1,2,5,7}:{(63,1),(64,1),(69,1),(73,1),(96,1)}
        82:{3,5,6}:{(65,1),(66,1),(93,1),(97,1)}
        83:{1,5,7}:{(66,1),(67,1),(74,1),(97,1)}
        84:{2,3,5,7}:{(66,1),(68,1),(75,1),(95,1),(98,1),(99,1),(122,1),(139,1)}
        85:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(96,1),(99,1),(100,1),(121,1),(124,1)}
        86:{1,3,4,6}:{(71,1),(92,1),(101,1),(102,1),(104,1),(118,1),(126,1),(135,1)}
        87:{1,4,5}:{(70,1),(71,1),(74,1),(101,1)}
        88:{2,4,5}:{(70,1),(72,1),(75,1),(139,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(73,1),(96,1),(103,1),(104,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{1,3,6}:{(76,1),(77,1),(104,1),(105,1)}
        92:{1,3,4,7}:{(79,1),(86,1),(106,1),(107,1),(111,1),(130,1)}
        93:{3,4,6}:{(78,1),(82,1),(108,1),(109,1),(129,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(106,1),(108,1)}
        95:{2,4,5,7}:{(78,1),(80,1),(84,1),(88,1),(109,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(89,1),(111,1)}
        97:{1,5,6}:{(82,1),(83,1),(108,1)}
        98:{2,3,5,6}:{(82,1),(84,1),(109,1),(112,1),(129,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(85,1),(90,1),(112,1),(113,1)}
       100:{1,3,6,7}:{(85,1),(91,1),(111,1),(113,1),(129,1)}
       101:{1,3,5}:{(86,1),(87,1),(114,1),(116,1),(138,1)}
       102:{1,2,4,6}:{(86,1),(107,1),(114,1),(115,1),(127,1),(132,1),(137,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(89,1),(90,1),(114,1),(116,1),(117,1),(132,1)}
       104:{3,6}:{(89,1),(111,1),(116,1)}
       105:{1,3,5}:{(90,1),(91,1),(116,1),(117,1)}
       106:{1,3,5,7}:{(92,1),(94,1),(101,1),(118,1),(119,1),(122,1)}
       107:{1,2,4,7}:{(92,1),(102,1),(119,1),(120,1),(134,1)}
       108:{1,4,6}:{(93,1),(94,1),(97,1),(118,1)}
       109:{2,4,6}:{(93,1),(95,1),(98,1)}
       110:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(103,1),(119,1),(121,1),(122,1),(124,1),(134,1),(136,1),(139,1)}
       111:{3,7}:{(96,1),(104,1)}
       112:{1,2,5,6}:{(97,1),(98,1),(99,1),(121,1),(123,1),(139,1)}
       113:{1,3,5,7}:{(99,1),(100,1),(105,1),(122,1),(123,1),(124,1)}
       114:{1,2,5}:{(101,1),(102,1),(125,1),(139,1)}
       115:{2,3,6}:{(102,1),(104,1),(120,1),(125,1)}
       116:{3,5}:{(103,1),(104,1),(126,1)}
       117:{1,4}:{(105,1),(126,1)}
       118:{1,3,6}:{(106,1),(108,1),(127,1),(129,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(114,1),(127,1),(128,1)}
       120:{2,3,7}:{(107,1),(111,1),(115,1)}
       121:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1),(131,1),(137,1)}
       122:{3,5,7}:{(110,1),(111,1),(116,1),(129,1),(130,1),(138,1)}
       123:{1,3,5,6}:{(112,1),(113,1),(129,1),(131,1),(138,1)}
       124:{1,4,7}:{(113,1),(117,1),(130,1),(131,1)}
       125:{2,3,5}:{(114,1),(115,1),(116,1),(132,1)}
       126:{3,4}:{(116,1),(117,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{2,3,5,7}:{(119,1),(120,1),(122,1),(125,1),(133,1),(134,1),(139,1)}
       129:{3,6}:{(121,1),(122,1)}
       130:{3,4,7}:{(122,1),(124,1),(126,1),(134,1),(135,1)}
       131:{1,4,6}:{(123,1),(124,1),(135,1),(136,1)}
       132:{2,4}:{(125,1),(126,1)}
       133:{2,3,6}:{(127,1),(128,1),(129,1),(137,1)}
       134:{2,4,7}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,4,6}:{(129,1),(130,1),(131,1),(137,1),(138,1)}
       136:{1,4,5}:{(131,1),(138,1)}
       137:{2,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

 820 :   0:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(18,1),(42,1),(116,1)}
         1:{1,3,4,6,7}:{(4,1),(5,1),(9,1),(21,1),(31,1),(50,1),(55,1),(59,1),(87,1),(90,1),(100,1)}
         2:{1,2,5,6,7}:{(0,1),(7,1),(8,1),(20,1),(28,1),(61,1),(63,1),(101,1)}
         3:{1,4,6,7}:{(0,1),(6,1),(9,1),(21,1),(59,1),(127,1)}
         4:{1,2,4,6,7}:{(1,1),(12,1),(13,1),(19,1),(34,1),(38,1),(48,1),(81,1),(107,1)}
         5:{1,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(39,1),(103,1),(106,1)}
         6:{1,4,5,7}:{(3,1),(11,1),(16,1),(134,1)}
         7:{2,3,5,6,7}:{(2,1),(17,1),(18,1),(33,1),(43,1),(45,1),(83,1)}
         8:{1,2,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(18,1),(19,1),(34,1),(46,1),(48,1),(81,1),(114,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(18,1),(19,1),(35,1),(41,1),(133,1)}
        10:{1,3,5,6}:{(5,1),(20,1),(21,1),(23,1),(50,1)}
        11:{1,4,5,6}:{(6,1),(21,1),(23,1)}
        12:{2,3,6,7}:{(4,1),(24,1),(50,1),(100,1),(121,1)}
        13:{1,2,5,7}:{(4,1),(5,1),(20,1),(24,1),(28,1),(120,1)}
        14:{1,4,5,7}:{(5,1),(21,1),(26,1),(59,1),(91,1)}
        15:{1,2,4,5,7}:{(6,1),(8,1),(22,1),(27,1),(28,1),(29,1),(59,1),(60,1),(61,1),(63,1)}
        16:{3,5,7}:{(6,1),(9,1),(23,1),(28,1),(138,1)}
        17:{2,4,6,7}:{(7,1),(29,1),(30,1),(49,1),(60,1),(98,1)}
        18:{3,6,7}:{(8,1),(27,1),(50,1),(100,1),(125,1)}
        19:{2,4,6,7}:{(9,1),(28,1),(32,1),(51,1),(60,1),(137,1)}
        20:{1,2,5,6}:{(10,1),(13,1),(33,1),(34,1),(37,1),(103,1)}
        21:{1,4,6}:{(10,1),(14,1),(35,1)}
        22:{1,2,4,5,6}:{(11,1),(15,1),(34,1),(36,1),(37,1),(44,1),(66,1),(71,1),(72,1),(73,1),(82,1),(103,1),(108,1),(114,1),(134,1),(139,1)}
        23:{3,5,6}:{(11,1),(16,1),(35,1),(37,1)}
        24:{2,3,5,7}:{(12,1),(13,1),(33,1),(38,1),(39,1),(129,1)}
        25:{1,2,4,5,7}:{(13,1),(14,1),(34,1),(38,1),(39,1),(40,1),(66,1),(74,1),(76,1),(81,1),(103,1),(108,1)}
        26:{3,4,5,7}:{(14,1),(16,1),(35,1),(39,1),(40,1),(41,1),(70,1)}
        27:{3,5,7}:{(15,1),(18,1),(36,1),(41,1)}
        28:{2,5,7}:{(16,1),(19,1),(37,1),(139,1)}
        29:{2,4,5,7}:{(17,1),(44,1),(45,1),(66,1)}
        30:{3,4,6,7}:{(17,1),(18,1),(41,1),(45,1),(46,1),(67,1),(78,1)}
        31:{1,3,6,7}:{(18,1),(42,1),(46,1),(48,1),(68,1),(111,1)}
        32:{2,3,6,7}:{(18,1),(19,1),(43,1),(48,1),(69,1),(131,1)}
        33:{2,3,5,6}:{(20,1),(24,1),(49,1),(50,1),(86,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(25,1),(49,1),(50,1),(51,1),(87,1),(89,1)}
        35:{3,4,6}:{(21,1),(23,1),(26,1),(50,1),(51,1)}
        36:{3,5,6}:{(22,1),(27,1),(50,1),(52,1),(86,1),(122,1),(125,1),(138,1)}
        37:{2,5,6}:{(23,1),(28,1),(51,1)}
        38:{2,4,7}:{(24,1),(49,1),(55,1),(136,1)}
        39:{3,5,7}:{(25,1),(50,1),(55,1),(86,1),(100,1),(122,1)}
        40:{2,4,5,7}:{(26,1),(28,1),(51,1),(57,1),(60,1),(92,1)}
        41:{3,4,7}:{(27,1),(52,1),(59,1),(60,1),(100,1)}
        42:{1,3,5,7}:{(27,1),(31,1),(53,1),(59,1),(61,1),(63,1),(100,1)}
        43:{2,3,5,7}:{(27,1),(28,1),(32,1),(54,1),(60,1),(61,1),(100,1)}
        44:{2,4,5,6}:{(29,1),(62,1),(98,1)}
        45:{3,5,7}:{(29,1),(30,1),(62,1),(63,1),(86,1)}
        46:{1,4,6,7}:{(30,1),(31,1),(59,1),(63,1),(87,1),(97,1)}
        47:{2,3,4,6,7}:{(30,1),(32,1),(60,1),(64,1),(65,1),(88,1),(98,1),(100,1),(125,1),(126,1),(137,1)}
        48:{1,2,6,7}:{(31,1),(32,1),(61,1),(89,1),(123,1)}
        49:{2,4,6}:{(33,1),(38,1),(66,1),(67,1)}
        50:{3,6}:{(34,1),(39,1)}
        51:{2,4,6}:{(35,1),(37,1),(40,1),(69,1)}
        52:{3,4,6}:{(36,1),(41,1),(70,1),(71,1),(72,1),(109,1),(130,1)}
        53:{1,3,5,6}:{(36,1),(42,1),(68,1),(71,1),(73,1),(82,1),(103,1),(106,1),(109,1),(111,1),(128,1)}
        54:{2,3,5,6}:{(36,1),(37,1),(43,1),(69,1),(72,1),(73,1),(104,1),(109,1),(129,1),(131,1),(139,1)}
        55:{3,4,7}:{(38,1),(39,1),(67,1),(74,1),(130,1)}
        56:{1,3,5,7}:{(39,1),(68,1),(74,1),(76,1),(103,1),(110,1),(128,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(69,1),(75,1),(76,1),(104,1)}
        58:{3,4,5,7}:{(41,1),(45,1),(70,1),(78,1),(79,1),(80,1),(115,1)}
        59:{1,4,7}:{(41,1),(42,1),(71,1)}
        60:{2,4,7}:{(41,1),(43,1),(72,1)}
        61:{1,2,5,7}:{(42,1),(43,1),(48,1),(73,1),(81,1)}
        62:{3,5,6}:{(44,1),(45,1),(78,1),(82,1)}
        63:{1,5,7}:{(45,1),(46,1),(82,1),(103,1)}
        64:{2,3,5,7}:{(45,1),(47,1),(80,1),(83,1),(84,1),(104,1),(115,1),(139,1)}
        65:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(81,1),(84,1),(85,1),(105,1),(114,1),(117,1)}
        66:{2,4,5}:{(49,1),(86,1)}
        67:{3,4,6}:{(49,1),(50,1),(55,1),(86,1),(87,1)}
        68:{1,3,6}:{(50,1),(56,1),(87,1),(89,1)}
        69:{2,3,6}:{(50,1),(51,1),(57,1),(89,1)}
        70:{3,4,5}:{(52,1),(86,1),(91,1),(92,1),(122,1),(138,1)}
        71:{1,4,6}:{(52,1),(53,1),(59,1),(91,1),(135,1)}
        72:{2,4,6}:{(52,1),(54,1),(60,1),(92,1),(136,1)}
        73:{1,2,5,6}:{(53,1),(54,1),(61,1),(89,1),(93,1),(118,1),(120,1),(123,1)}
        74:{1,4,7}:{(55,1),(56,1),(87,1),(135,1)}
        75:{2,3,4,7}:{(55,1),(57,1),(60,1),(88,1),(94,1),(100,1)}
        76:{1,2,5,7}:{(56,1),(57,1),(89,1),(94,1),(118,1)}
        77:{1,3,4,7}:{(59,1),(90,1),(95,1),(96,1),(100,1),(126,1)}
        78:{3,4,6}:{(58,1),(62,1),(97,1),(98,1),(125,1)}
        79:{1,4,5,7}:{(58,1),(59,1),(63,1),(91,1),(95,1),(97,1)}
        80:{2,4,5,7}:{(58,1),(60,1),(64,1),(92,1),(98,1)}
        81:{1,2,4,7}:{(59,1),(60,1),(61,1),(93,1),(100,1)}
        82:{1,5,6}:{(62,1),(63,1),(97,1)}
        83:{2,3,5,6}:{(62,1),(64,1),(98,1),(101,1),(125,1)}
        84:{1,2,5,7}:{(63,1),(64,1),(65,1),(101,1),(102,1),(118,1)}
        85:{1,3,6,7}:{(65,1),(100,1),(102,1),(119,1),(125,1)}
        86:{3,5}:{(66,1),(67,1),(103,1)}
        87:{1,4,6}:{(67,1),(68,1),(74,1),(103,1)}
        88:{2,3,4,6}:{(67,1),(69,1),(72,1),(75,1),(104,1),(105,1),(109,1),(130,1)}
        89:{1,2,6}:{(68,1),(69,1),(76,1)}
        90:{1,3,4,6}:{(71,1),(77,1),(106,1),(107,1),(109,1),(111,1),(130,1),(133,1)}
        91:{1,4,5}:{(70,1),(71,1),(103,1),(106,1)}
        92:{2,4,5}:{(70,1),(72,1),(104,1),(139,1)}
        93:{1,2,4,6}:{(71,1),(72,1),(73,1),(81,1),(108,1),(109,1)}
        94:{1,2,4,7}:{(74,1),(75,1),(76,1),(105,1),(110,1)}
        95:{1,3,5,7}:{(77,1),(79,1),(106,1),(111,1),(112,1),(115,1)}
        96:{1,2,4,7}:{(77,1),(107,1),(112,1),(113,1),(132,1)}
        97:{1,4,6}:{(78,1),(79,1),(82,1),(111,1)}
        98:{2,4,6}:{(78,1),(80,1),(83,1)}
        99:{1,2,4,5,7}:{(79,1),(80,1),(81,1),(84,1),(108,1),(112,1),(114,1),(115,1),(117,1),(132,1),(134,1),(139,1)}
       100:{3,7}:{(81,1),(109,1)}
       101:{1,2,5,6}:{(82,1),(83,1),(84,1),(114,1),(116,1),(139,1)}
       102:{1,3,5,7}:{(84,1),(85,1),(115,1),(116,1),(117,1),(128,1)}
       103:{1,5}:{(86,1),(87,1)}
       104:{2,3,5}:{(86,1),(88,1),(92,1),(118,1),(122,1)}
       105:{1,2,4,6}:{(87,1),(88,1),(89,1),(94,1),(118,1),(119,1),(135,1)}
       106:{1,3,5}:{(90,1),(91,1),(120,1),(122,1),(138,1)}
       107:{1,2,4,6}:{(90,1),(96,1),(120,1),(121,1),(123,1),(136,1),(137,1)}
       108:{1,2,4,5}:{(91,1),(92,1),(93,1),(118,1),(120,1),(122,1),(135,1),(136,1)}
       109:{3,6}:{(93,1),(100,1),(122,1)}
       110:{1,3,7}:{(94,1),(100,1),(119,1)}
       111:{1,3,6}:{(95,1),(97,1),(123,1),(125,1)}
       112:{1,2,5,7}:{(95,1),(96,1),(120,1),(123,1),(124,1)}
       113:{2,3,7}:{(96,1),(100,1),(121,1)}
       114:{1,2,4,6}:{(97,1),(98,1),(99,1),(101,1),(123,1),(125,1),(127,1),(137,1)}
       115:{3,5,7}:{(99,1),(100,1),(122,1),(125,1),(126,1),(138,1)}
       116:{1,3,5,6}:{(101,1),(102,1),(125,1),(127,1),(138,1)}
       117:{1,4,7}:{(102,1),(126,1),(127,1),(135,1)}
       118:{1,2,5}:{(103,1),(104,1),(105,1),(128,1)}
       119:{1,3,6}:{(105,1),(109,1),(110,1),(128,1)}
       120:{1,2,5}:{(106,1),(107,1),(129,1),(139,1)}
       121:{2,3,6}:{(107,1),(109,1),(113,1),(129,1)}
       122:{3,5}:{(108,1),(109,1),(130,1)}
       123:{1,2,6}:{(111,1),(112,1),(131,1)}
       124:{2,3,5,7}:{(112,1),(113,1),(115,1),(129,1),(131,1),(132,1),(139,1)}
       125:{3,6}:{(114,1),(115,1)}
       126:{3,4,7}:{(115,1),(117,1),(130,1),(132,1),(133,1)}
       127:{1,4,6}:{(116,1),(117,1),(133,1),(134,1)}
       128:{1,3,5}:{(118,1),(119,1),(122,1),(135,1)}
       129:{2,3,5}:{(120,1),(121,1),(122,1),(136,1)}
       130:{3,4}:{(122,1),(135,1),(136,1)}
       131:{2,3,6}:{(123,1),(124,1),(125,1),(137,1)}
       132:{2,4,7}:{(124,1),(126,1),(136,1),(137,1)}
       133:{3,4,6}:{(125,1),(126,1),(127,1),(137,1),(138,1)}
       134:{1,4,5}:{(127,1),(138,1)}
       135:{1,4}:{(128,1),(130,1)}
       136:{2,4}:{(129,1),(130,1)}
       137:{2,4,6}:{(131,1),(132,1),(133,1),(139,1)}
       138:{3,5}:{(133,1),(134,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

 821 :  0:{2,3,4}:{(2,1),(3,1),(47,1)}
        1:{3,4,5}:{(6,1),(7,1),(8,1),(33,1),(71,1)}
        2:{2,3,5}:{(0,1),(8,1),(9,1),(10,1),(33,1)}
        3:{1,2,4}:{(0,1),(10,1),(11,1),(36,1)}
        4:{1,3,4}:{(12,1),(13,1),(47,1)}
        5:{4,5,6}:{(14,1),(15,1),(63,1),(83,1)}
        6:{3,4,6}:{(1,1),(14,1),(16,1),(17,1),(18,1),(45,1),(63,1)}
        7:{1,4,5}:{(1,1),(12,1),(16,1)}
        8:{2,4,5}:{(1,1),(2,1),(17,1)}
        9:{2,3,6}:{(2,1),(17,1),(20,1),(21,1),(45,1)}
       10:{1,2,5}:{(2,1),(3,1),(20,1),(22,1)}
       11:{1,3}:{(3,1)}
       12:{1,3,5}:{(4,1),(7,1),(23,1),(24,1),(33,1)}
       13:{1,2,4}:{(4,1),(24,1),(25,1),(52,1)}
       14:{3,5,6}:{(5,1),(6,1),(26,1),(27,1),(28,1)}
       15:{4,5,7}:{(5,1),(28,1),(29,1),(72,1),(82,1)}
       16:{1,4,6}:{(6,1),(7,1),(23,1),(26,1),(31,1)}
       17:{2,4,6}:{(6,1),(8,1),(9,1),(27,1),(32,1)}
       18:{3,4,7}:{(6,1),(28,1),(31,1),(32,1),(58,1),(72,1)}
       19:{1,2,4,5}:{(7,1),(8,1),(10,1),(24,1),(30,1),(33,1),(36,1),(52,1),(59,1),(69,1),(71,1)}
       20:{1,2,6}:{(9,1),(10,1),(34,1),(35,1)}
       21:{2,3,7}:{(9,1),(32,1),(35,1),(58,1)}
       22:{1,3,5}:{(10,1),(11,1),(33,1),(34,1),(36,1),(59,1)}
       23:{1,3,6}:{(12,1),(16,1),(37,1),(38,1),(45,1)}
       24:{1,2,5}:{(12,1),(13,1),(37,1),(39,1)}
       25:{2,3}:{(13,1)}
       26:{1,5,6}:{(14,1),(16,1),(41,1)}
       27:{2,5,6}:{(14,1),(17,1),(42,1)}
       28:{3,5,7}:{(14,1),(15,1),(18,1),(41,1),(42,1),(43,1)}
       29:{4,6,7}:{(15,1),(43,1),(44,1)}
       30:{1,2,4,6}:{(16,1),(17,1),(19,1),(20,1),(37,1),(40,1),(45,1),(46,1),(48,1),(61,1),(63,1)}
       31:{1,4,7}:{(16,1),(18,1),(38,1),(41,1)}
       32:{2,4,7}:{(17,1),(18,1),(21,1),(42,1)}
       33:{3,5}:{(19,1),(45,1),(47,1)}
       34:{1,3,6}:{(20,1),(22,1),(45,1),(48,1),(49,1)}
       35:{1,2,7}:{(20,1),(21,1),(49,1)}
       36:{1,4}:{(22,1),(47,1)}
       37:{1,2,6}:{(23,1),(24,1),(50,1),(51,1)}
       38:{1,3,7}:{(23,1),(31,1),(51,1),(58,1)}
       39:{2,3,5}:{(24,1),(25,1),(33,1),(50,1),(52,1),(69,1)}
       40:{1,2,5,6}:{(26,1),(27,1),(30,1),(53,1),(54,1),(59,1),(69,1),(75,1),(80,1)}
       41:{1,5,7}:{(26,1),(28,1),(31,1),(55,1)}
       42:{2,5,7}:{(27,1),(28,1),(32,1),(56,1)}
       43:{3,6,7}:{(28,1),(29,1),(55,1),(56,1)}
       44:{5,6,7}:{(29,1),(82,1)}
       45:{3,6}:{(30,1),(33,1),(58,1)}
       46:{1,2,4,7}:{(30,1),(31,1),(32,1),(35,1),(51,1),(54,1),(58,1),(60,1),(70,1),(72,1)}
       47:{3,4}:{(33,1),(36,1),(52,1)}
       48:{1,4,6}:{(34,1),(36,1),(57,1),(59,1),(60,1),(75,1)}
       49:{1,3,7}:{(34,1),(35,1),(58,1),(60,1)}
       50:{2,3,6}:{(37,1),(39,1),(45,1),(61,1),(62,1)}
       51:{1,2,7}:{(37,1),(38,1),(62,1)}
       52:{2,4}:{(39,1),(47,1)}
       53:{3,5,6}:{(40,1),(45,1),(63,1),(64,1),(66,1),(79,1),(83,1)}
       54:{1,2,5,7}:{(40,1),(41,1),(42,1),(46,1),(64,1),(65,1),(68,1),(76,1)}
       55:{1,6,7}:{(41,1),(43,1)}
       56:{2,6,7}:{(42,1),(43,1)}
       57:{3,4,6}:{(45,1),(47,1),(48,1),(61,1),(63,1),(66,1),(67,1),(79,1)}
       58:{3,7}:{(45,1),(46,1)}
       59:{1,5}:{(48,1),(66,1)}
       60:{1,4,7}:{(48,1),(49,1),(67,1),(68,1)}
       61:{2,4,6}:{(50,1),(52,1),(57,1),(69,1),(70,1),(80,1)}
       62:{2,3,7}:{(50,1),(51,1),(58,1),(70,1)}
       63:{4,6}:{(53,1),(71,1),(72,1)}
       64:{3,5,7}:{(53,1),(54,1),(58,1),(72,1),(73,1),(82,1)}
       65:{1,2,6,7}:{(54,1),(55,1),(56,1),(73,1),(75,1),(80,1)}
       66:{3,5}:{(57,1),(59,1),(69,1),(71,1)}
       67:{3,4,7}:{(57,1),(58,1),(60,1),(70,1),(72,1),(74,1)}
       68:{1,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{2,5}:{(61,1),(66,1)}
       70:{2,4,7}:{(61,1),(62,1),(67,1),(76,1)}
       71:{4,5}:{(63,1),(66,1)}
       72:{4,7}:{(63,1),(64,1)}
       73:{3,6,7}:{(64,1),(65,1),(78,1),(79,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(77,1),(79,1)}
       75:{1,6}:{(68,1),(79,1)}
       76:{2,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,5,7}:{(71,1),(72,1),(74,1),(81,1),(82,1)}
       78:{4,6,7}:{(72,1),(73,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(81,1)}
       80:{2,6}:{(76,1),(79,1)}
       81:{4,6}:{(77,1),(79,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 822 :   0:{1,3,4,5}:{(1,1),(2,1),(25,1),(63,1),(74,1)}
         1:{1,2,4,5}:{(0,1),(3,1),(4,1),(14,1),(44,1),(50,1)}
         2:{1,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(52,1)}
         3:{2,3,5}:{(1,1),(8,1),(9,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(33,1)}
         5:{1,3,5,6}:{(2,1),(10,1),(12,1),(13,1),(35,1),(63,1),(123,1)}
         6:{1,3,4,7}:{(2,1),(11,1),(13,1),(79,1)}
         7:{1,2,3,5}:{(3,1),(14,1),(15,1),(41,1),(44,1)}
         8:{2,3,4}:{(3,1),(14,1)}
         9:{2,3,6}:{(3,1),(4,1),(19,1)}
        10:{1,2,5,6}:{(4,1),(5,1),(18,1),(21,1),(44,1),(96,1)}
        11:{1,2,4,7}:{(4,1),(6,1),(19,1),(21,1),(53,1)}
        12:{1,4,5,6}:{(5,1),(22,1),(23,1),(90,1),(155,1)}
        13:{1,3,5,7}:{(5,1),(6,1),(21,1),(23,1),(24,1),(57,1)}
        14:{1,2,4}:{(7,1),(8,1),(25,1)}
        15:{1,2,3,6}:{(7,1),(9,1),(27,1),(29,1),(62,1)}
        16:{2,3,4,5}:{(8,1),(26,1),(30,1),(31,1),(121,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(27,1),(31,1),(32,1),(33,1),(69,1),(76,1)}
        18:{2,3,5,6}:{(9,1),(10,1),(31,1),(33,1),(34,1),(35,1),(76,1),(142,1)}
        19:{2,3,7}:{(9,1),(11,1)}
        20:{1,2,4,5,6}:{(10,1),(12,1),(33,1),(35,1),(36,1),(38,1),(67,1),(77,1),(81,1),(130,1),(142,1),(200,1),(201,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(13,1),(34,1),(37,1)}
        22:{3,4,5,6}:{(12,1),(35,1),(38,1),(39,1),(121,1),(183,1),(201,1)}
        23:{1,4,5,7}:{(12,1),(13,1),(39,1),(40,1)}
        24:{1,3,6,7}:{(13,1),(37,1),(40,1),(84,1),(123,1)}
        25:{1,3,4}:{(14,1),(41,1)}
        26:{1,2,4,5}:{(14,1),(16,1),(41,1),(43,1),(44,1),(90,1)}
        27:{1,2,4,6}:{(14,1),(15,1),(17,1),(42,1),(44,1),(45,1),(96,1)}
        28:{1,2,3,5,6}:{(15,1),(18,1),(44,1),(46,1),(47,1),(55,1),(88,1),(94,1),(96,1),(157,1),(160,1),(163,1),(164,1),(165,1),(215,1)}
        29:{1,2,3,7}:{(15,1),(19,1),(45,1),(89,1)}
        30:{2,3,4,6}:{(16,1),(43,1),(48,1),(49,1),(149,1)}
        31:{2,3,5}:{(17,1),(44,1),(50,1),(94,1)}
        32:{2,3,4,7}:{(17,1),(19,1),(45,1),(51,1),(53,1),(99,1)}
        33:{2,4,6}:{(18,1),(50,1),(52,1),(53,1)}
        34:{2,3,5,7}:{(18,1),(19,1),(21,1),(53,1),(54,1),(57,1),(112,1)}
        35:{3,5,6}:{(20,1),(52,1),(57,1),(94,1),(163,1)}
        36:{1,2,4,5,7}:{(20,1),(21,1),(23,1),(53,1),(57,1),(58,1),(59,1),(109,1),(112,1),(113,1),(175,1),(176,1)}
        37:{1,2,6,7}:{(21,1),(24,1),(54,1),(96,1)}
        38:{2,4,5,6}:{(22,1),(56,1),(59,1),(153,1),(208,1)}
        39:{3,4,5,7}:{(22,1),(23,1),(57,1),(59,1),(60,1),(176,1)}
        40:{1,4,6,7}:{(23,1),(24,1),(60,1),(61,1),(155,1)}
        41:{1,3,5}:{(25,1),(26,1),(62,1)}
        42:{1,3,4,6}:{(25,1),(27,1),(62,1),(63,1),(64,1),(69,1),(119,1),(123,1)}
        43:{1,2,4,6}:{(26,1),(30,1),(62,1),(65,1),(66,1),(119,1)}
        44:{1,2,5}:{(27,1),(31,1),(63,1)}
        45:{1,2,4,7}:{(27,1),(29,1),(32,1),(64,1),(68,1)}
        46:{1,2,4,6}:{(28,1),(33,1),(67,1),(69,1),(70,1),(77,1),(119,1),(178,1)}
        47:{1,2,3,5,7}:{(28,1),(29,1),(34,1),(68,1),(70,1),(71,1),(82,1),(120,1),(129,1),(135,1),(187,1),(191,1),(195,1)}
        48:{2,3,5,6}:{(30,1),(31,1),(65,1),(72,1),(73,1),(76,1),(124,1)}
        49:{2,3,4,7}:{(30,1),(66,1),(73,1),(179,1)}
        50:{2,4,5}:{(31,1),(33,1),(74,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(68,1),(75,1),(76,1),(129,1)}
        52:{3,4,6}:{(33,1),(35,1),(74,1),(77,1),(79,1)}
        53:{2,4,7}:{(33,1),(34,1),(79,1)}
        54:{2,3,6,7}:{(34,1),(37,1),(76,1),(80,1),(84,1)}
        55:{1,3,5,6}:{(35,1),(77,1),(81,1),(82,1),(127,1),(143,1),(192,1),(200,1)}
        56:{2,3,5,6}:{(35,1),(38,1),(78,1),(81,1),(83,1),(128,1),(193,1)}
        57:{3,5,7}:{(35,1),(36,1),(79,1),(84,1)}
        58:{1,2,4,6,7}:{(36,1),(37,1),(40,1),(80,1),(84,1),(85,1),(86,1),(130,1),(145,1),(147,1),(148,1)}
        59:{2,4,5,7}:{(38,1),(39,1),(83,1),(86,1)}
        60:{3,4,6,7}:{(39,1),(40,1),(84,1),(86,1),(87,1),(148,1),(183,1)}
        61:{1,5,6,7}:{(40,1),(87,1),(184,1)}
        62:{1,3,6}:{(41,1),(43,1),(89,1)}
        63:{1,3,5}:{(42,1),(44,1),(90,1),(94,1)}
        64:{1,3,4,7}:{(42,1),(45,1),(89,1),(91,1),(99,1),(150,1)}
        65:{1,2,5,6}:{(43,1),(44,1),(48,1),(88,1),(93,1),(96,1)}
        66:{1,2,4,7}:{(43,1),(49,1),(89,1),(93,1),(150,1)}
        67:{1,2,4,5}:{(44,1),(46,1),(50,1),(90,1),(94,1),(104,1),(153,1),(160,1)}
        68:{1,2,5,7}:{(44,1),(45,1),(51,1),(91,1),(96,1)}
        69:{3,4,6}:{(46,1),(94,1),(99,1),(163,1)}
        70:{1,2,4,7}:{(46,1),(47,1),(53,1),(99,1),(109,1),(150,1),(204,1)}
        71:{1,2,3,6,7}:{(47,1),(54,1),(96,1),(100,1),(114,1),(151,1),(163,1),(212,1),(215,1)}
        72:{2,4,5,6}:{(48,1),(50,1),(101,1),(102,1),(107,1)}
        73:{2,3,5,7}:{(48,1),(49,1),(93,1),(102,1),(103,1),(158,1)}
        74:{3,4,5}:{(50,1),(52,1),(94,1),(104,1)}
        75:{2,4,5,7}:{(50,1),(51,1),(53,1),(106,1),(107,1),(112,1)}
        76:{2,3,6}:{(51,1),(96,1),(107,1),(163,1)}
        77:{1,4,6}:{(52,1),(55,1),(104,1),(109,1)}
        78:{2,3,4,6}:{(52,1),(56,1),(105,1),(108,1),(110,1)}
        79:{3,4,7}:{(52,1),(53,1),(57,1),(109,1)}
        80:{2,4,6,7}:{(53,1),(54,1),(107,1),(111,1),(112,1)}
        81:{1,2,5,6}:{(55,1),(56,1),(108,1),(113,1),(160,1),(215,1)}
        82:{1,3,5,7}:{(55,1),(57,1),(109,1),(113,1),(114,1),(174,1),(175,1)}
        83:{2,3,5,7}:{(56,1),(57,1),(59,1),(110,1),(113,1),(115,1)}
        84:{3,6,7}:{(57,1),(58,1),(163,1)}
        85:{1,2,5,6,7}:{(58,1),(61,1),(112,1),(116,1),(117,1),(164,1),(175,1)}
        86:{2,4,6,7}:{(59,1),(60,1),(115,1),(117,1),(208,1)}
        87:{3,5,6,7}:{(60,1),(61,1),(117,1),(118,1),(209,1)}
        88:{1,3,5,6}:{(62,1),(63,1),(65,1),(119,1),(120,1),(123,1),(124,1),(184,1)}
        89:{1,3,7}:{(62,1),(66,1)}
        90:{1,4,5}:{(63,1),(119,1),(121,1)}
        91:{1,3,5,7}:{(63,1),(64,1),(68,1),(122,1),(123,1),(129,1)}
        92:{1,2,4,5,6}:{(65,1),(67,1),(72,1),(119,1),(124,1),(125,1),(130,1),(136,1),(178,1),(184,1),(185,1),(224,1),(225,1)}
        93:{1,2,5,7}:{(65,1),(66,1),(73,1),(120,1),(126,1)}
        94:{3,5}:{(67,1),(69,1)}
        95:{1,2,4,5,7}:{(67,1),(68,1),(70,1),(75,1),(122,1),(129,1),(130,1),(135,1),(140,1),(182,1),(191,1),(196,1)}
        96:{1,2,6}:{(68,1),(76,1),(123,1)}
        97:{1,3,4,6}:{(69,1),(77,1),(127,1),(131,1),(132,1),(143,1),(192,1),(199,1)}
        98:{2,3,4,6}:{(69,1),(128,1),(131,1),(133,1),(178,1),(193,1),(219,1),(223,1)}
        99:{3,4,7}:{(69,1),(70,1),(129,1)}
       100:{1,2,4,6,7}:{(70,1),(71,1),(80,1),(130,1),(134,1),(135,1),(145,1),(180,1),(221,1)}
       101:{3,4,5,6}:{(72,1),(74,1),(124,1),(136,1),(137,1),(141,1),(225,1)}
       102:{2,4,5,7}:{(72,1),(73,1),(137,1),(138,1)}
       103:{2,3,6,7}:{(73,1),(76,1),(126,1),(138,1),(188,1)}
       104:{1,4,5}:{(74,1),(77,1),(127,1)}
       105:{2,3,4,5}:{(74,1),(78,1),(128,1),(139,1),(223,1)}
       106:{3,4,5,7}:{(74,1),(75,1),(79,1),(129,1),(140,1),(141,1),(146,1),(196,1)}
       107:{2,4,6}:{(75,1),(76,1),(141,1),(142,1)}
       108:{1,2,4,6}:{(77,1),(78,1),(81,1),(139,1),(143,1),(144,1)}
       109:{1,4,7}:{(77,1),(79,1),(82,1)}
       110:{2,3,4,7}:{(78,1),(79,1),(83,1),(144,1)}
       111:{3,4,6,7}:{(79,1),(80,1),(84,1),(141,1),(145,1),(146,1),(148,1)}
       112:{2,5,7}:{(80,1),(142,1),(146,1)}
       113:{1,2,5,7}:{(81,1),(82,1),(83,1),(144,1),(147,1)}
       114:{1,3,6,7}:{(82,1),(84,1),(145,1),(147,1),(192,1)}
       115:{2,3,6,7}:{(83,1),(84,1),(86,1),(147,1),(193,1)}
       116:{3,5,6,7}:{(84,1),(85,1),(146,1),(148,1),(194,1)}
       117:{2,5,6,7}:{(86,1),(87,1),(224,1)}
       118:{4,5,6,7}:{(87,1),(148,1),(225,1)}
       119:{1,4,6}:{(88,1),(90,1),(149,1),(150,1)}
       120:{1,3,5,7}:{(88,1),(89,1),(93,1),(150,1),(151,1),(158,1),(206,1)}
       121:{3,4,5}:{(90,1),(94,1),(149,1),(153,1)}
       122:{1,4,5,7}:{(90,1),(91,1),(150,1),(154,1),(155,1),(206,1)}
       123:{1,3,6}:{(91,1),(96,1),(155,1),(163,1)}
       124:{3,5,6}:{(92,1),(94,1),(149,1),(158,1),(163,1)}
       125:{1,2,4,5,7}:{(92,1),(93,1),(102,1),(150,1),(158,1),(159,1),(168,1),(204,1),(206,1),(210,1),(229,1),(230,1)}
       126:{1,2,6,7}:{(93,1),(96,1),(103,1),(151,1)}
       127:{1,3,5}:{(94,1),(97,1),(104,1),(160,1)}
       128:{2,3,5}:{(94,1),(98,1),(153,1),(160,1)}
       129:{3,5,7}:{(94,1),(95,1),(99,1),(163,1)}
       130:{1,2,4,6}:{(95,1),(96,1),(107,1),(155,1),(163,1),(164,1),(172,1),(208,1),(215,1),(216,1)}
       131:{1,2,4,6}:{(97,1),(98,1),(160,1),(165,1),(166,1),(214,1),(215,1)}
       132:{1,3,4,7}:{(97,1),(99,1),(109,1),(161,1),(166,1),(174,1)}
       133:{2,3,4,7}:{(98,1),(99,1),(162,1),(166,1),(204,1),(228,1)}
       134:{3,4,6,7}:{(99,1),(100,1),(163,1),(167,1),(216,1)}
       135:{1,2,5,7}:{(100,1),(112,1),(164,1),(167,1),(175,1),(206,1),(229,1)}
       136:{1,4,5,6}:{(101,1),(104,1),(156,1),(168,1),(172,1)}
       137:{3,4,5,7}:{(101,1),(102,1),(158,1),(168,1),(169,1),(230,1)}
       138:{2,4,6,7}:{(102,1),(103,1),(107,1),(169,1),(170,1)}
       139:{1,2,4,5}:{(104,1),(105,1),(108,1),(160,1),(171,1),(214,1)}
       140:{1,4,5,7}:{(104,1),(106,1),(109,1),(161,1),(172,1),(175,1)}
       141:{3,4,6}:{(106,1),(107,1),(163,1),(172,1),(173,1),(216,1)}
       142:{2,5,6}:{(107,1),(112,1),(173,1)}
       143:{1,3,6}:{(108,1),(171,1),(174,1)}
       144:{1,2,4,7}:{(108,1),(109,1),(110,1),(113,1),(174,1)}
       145:{1,4,6,7}:{(109,1),(111,1),(114,1),(172,1),(175,1)}
       146:{3,5,7}:{(111,1),(112,1),(173,1),(175,1),(176,1)}
       147:{1,2,6,7}:{(113,1),(114,1),(115,1),(215,1)}
       148:{4,6,7}:{(116,1),(176,1),(216,1)}
       149:{3,4,6}:{(119,1),(121,1),(124,1),(178,1),(179,1)}
       150:{1,4,7}:{(119,1),(120,1),(179,1)}
       151:{1,3,6,7}:{(120,1),(123,1),(126,1),(180,1),(188,1)}
       152:{1,3,4,5}:{(121,1),(127,1),(177,1),(181,1),(199,1)}
       153:{2,4,5}:{(121,1),(128,1),(178,1)}
       154:{3,4,5,7}:{(121,1),(122,1),(129,1),(179,1),(182,1),(183,1),(196,1),(222,1)}
       155:{1,4,6}:{(122,1),(123,1),(183,1),(184,1)}
       156:{1,3,5,6}:{(124,1),(127,1),(136,1),(177,1),(185,1),(186,1),(192,1)}
       157:{2,3,5,6}:{(124,1),(128,1),(178,1),(185,1),(187,1),(193,1),(219,1),(224,1)}
       158:{3,5,7}:{(124,1),(125,1),(179,1),(188,1)}
       159:{1,2,4,6,7}:{(125,1),(126,1),(130,1),(138,1),(180,1),(188,1),(189,1),(197,1),(221,1),(226,1),(227,1)}
       160:{1,2,5}:{(127,1),(128,1),(131,1)}
       161:{1,3,5,7}:{(127,1),(129,1),(132,1),(140,1),(191,1),(192,1)}
       162:{2,3,5,7}:{(128,1),(129,1),(133,1),(182,1),(191,1),(193,1)}
       163:{3,6}:{(129,1),(130,1)}
       164:{1,2,5,6}:{(130,1),(135,1),(142,1),(184,1),(194,1),(200,1),(224,1)}
       165:{1,2,3,6}:{(131,1),(143,1),(190,1),(195,1),(219,1)}
       166:{1,2,4,7}:{(131,1),(132,1),(133,1),(191,1),(195,1)}
       167:{3,5,7}:{(134,1),(135,1),(194,1),(196,1)}
       168:{1,4,5,7}:{(136,1),(137,1),(186,1),(197,1)}
       169:{3,4,6,7}:{(137,1),(138,1),(141,1),(188,1),(197,1),(198,1),(227,1)}
       170:{2,5,6,7}:{(138,1),(142,1),(198,1)}
       171:{1,3,5}:{(139,1),(143,1),(199,1)}
       172:{1,4,6}:{(140,1),(141,1),(192,1),(200,1)}
       173:{3,5,6}:{(141,1),(142,1),(146,1),(200,1),(201,1)}
       174:{1,3,7}:{(143,1),(144,1)}
       175:{1,5,7}:{(145,1),(146,1),(200,1)}
       176:{4,5,7}:{(146,1),(148,1),(201,1)}
       177:{1,3,4,6}:{(149,1),(152,1),(156,1),(202,1),(203,1)}
       178:{2,4,6}:{(149,1),(153,1),(157,1),(204,1)}
       179:{3,4,7}:{(149,1),(150,1),(158,1),(204,1)}
       180:{1,4,6,7}:{(150,1),(151,1),(155,1),(205,1),(206,1)}
       181:{1,2,4,5}:{(152,1),(153,1),(160,1),(202,1),(207,1),(214,1)}
       182:{2,4,5,7}:{(153,1),(154,1),(162,1),(204,1),(208,1),(229,1)}
       183:{3,4,6}:{(154,1),(155,1),(163,1),(208,1),(209,1),(216,1)}
       184:{1,5,6}:{(155,1),(206,1),(209,1)}
       185:{1,2,5,6}:{(156,1),(157,1),(160,1),(202,1),(210,1),(215,1)}
       186:{1,3,5,7}:{(156,1),(158,1),(168,1),(203,1),(210,1),(211,1)}
       187:{2,3,5,7}:{(157,1),(158,1),(204,1),(210,1),(212,1),(228,1),(229,1)}
       188:{3,6,7}:{(158,1),(159,1),(163,1)}
       189:{1,2,5,6,7}:{(159,1),(164,1),(170,1),(206,1),(213,1),(217,1),(229,1)}
       190:{1,2,3,5}:{(160,1),(165,1),(171,1),(207,1),(214,1)}
       191:{1,2,5,7}:{(160,1),(161,1),(162,1),(166,1),(215,1)}
       192:{1,3,6}:{(161,1),(163,1),(172,1),(215,1)}
       193:{2,3,6}:{(162,1),(163,1),(208,1),(215,1)}
       194:{3,5,6}:{(163,1),(164,1),(167,1),(216,1)}
       195:{1,2,3,7}:{(165,1),(166,1),(174,1),(228,1)}
       196:{4,5,7}:{(167,1),(216,1)}
       197:{1,4,6,7}:{(168,1),(169,1),(172,1),(211,1),(217,1)}
       198:{3,5,6,7}:{(169,1),(170,1),(173,1),(217,1),(218,1)}
       199:{1,3,4}:{(171,1),(214,1)}
       200:{1,5,6}:{(172,1),(173,1),(175,1)}
       201:{4,5,6}:{(173,1),(176,1),(216,1)}
       202:{1,2,4,6}:{(177,1),(178,1),(181,1),(185,1),(219,1),(220,1)}
       203:{1,3,4,7}:{(177,1),(179,1),(186,1),(220,1)}
       204:{2,4,7}:{(178,1),(179,1),(187,1)}
       205:{3,4,6,7}:{(179,1),(180,1),(183,1),(188,1),(221,1),(222,1),(227,1)}
       206:{1,5,7}:{(180,1),(184,1),(222,1)}
       207:{2,3,5}:{(181,1),(219,1),(223,1)}
       208:{2,4,6}:{(182,1),(183,1),(193,1),(224,1)}
       209:{3,5,6}:{(183,1),(184,1),(222,1),(224,1),(225,1)}
       210:{1,2,5,7}:{(185,1),(186,1),(187,1),(220,1),(226,1)}
       211:{1,3,6,7}:{(186,1),(188,1),(192,1),(197,1),(226,1)}
       212:{2,3,6,7}:{(187,1),(188,1),(193,1),(221,1),(226,1)}
       213:{3,5,6,7}:{(188,1),(189,1),(194,1),(222,1),(227,1)}
       214:{1,2,4}:{(190,1),(199,1),(223,1)}
       215:{1,2,6}:{(191,1),(192,1),(193,1)}
       216:{4,6}:{(194,1),(196,1)}
       217:{1,5,6,7}:{(197,1),(198,1),(200,1)}
       218:{4,5,6,7}:{(198,1),(201,1),(227,1)}
       219:{2,3,6}:{(202,1),(207,1),(228,1)}
       220:{1,2,4,7}:{(202,1),(203,1),(204,1),(210,1),(228,1)}
       221:{2,4,6,7}:{(204,1),(205,1),(208,1),(212,1),(229,1)}
       222:{3,5,7}:{(205,1),(206,1),(209,1),(229,1),(230,1)}
       223:{2,3,4}:{(207,1),(214,1)}
       224:{2,5,6}:{(208,1),(209,1),(229,1)}
       225:{4,5,6}:{(209,1),(216,1),(230,1)}
       226:{1,2,6,7}:{(210,1),(211,1),(212,1),(215,1)}
       227:{4,6,7}:{(213,1),(216,1),(230,1)}
       228:{2,3,7}:{(219,1),(220,1)}
       229:{2,5,7}:{(221,1),(222,1),(224,1)}
       230:{4,5,7}:{(222,1),(225,1),(227,1)}

 823 :   0:{1,4,5,6}:{(3,1),(4,1),(26,1),(33,1),(85,1)}
         1:{1,3,4,6}:{(6,1),(7,1),(8,1),(26,1),(38,1),(77,1),(89,1),(128,1),(141,1)}
         2:{1,5,6,7}:{(9,1),(11,1),(97,1),(101,1)}
         3:{1,4,5,7}:{(0,1),(11,1),(12,1),(46,1),(48,1),(101,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(14,1)}
         5:{3,4,5}:{(10,1),(16,1),(17,1),(62,1)}
         6:{1,3,5}:{(1,1),(16,1),(19,1),(62,1),(151,1),(162,1)}
         7:{1,3,4,7}:{(1,1),(18,1),(20,1),(48,1),(104,1),(117,1),(150,1),(163,1)}
         8:{1,2,4,6}:{(1,1),(19,1),(20,1),(21,1),(63,1),(65,1),(118,1)}
         9:{3,5,6,7}:{(2,1),(23,1),(24,1),(28,1),(70,1),(73,1)}
        10:{3,4,6}:{(4,1),(5,1),(25,1),(26,1),(27,1),(77,1)}
        11:{1,4,6,7}:{(2,1),(3,1),(24,1),(28,1)}
        12:{3,5,7}:{(3,1),(4,1),(25,1),(28,1),(30,1)}
        13:{1,3,5,6}:{(4,1),(6,1),(26,1),(29,1),(31,1),(38,1),(77,1),(85,1),(140,1)}
        14:{2,5,6}:{(4,1),(27,1),(30,1)}
        15:{3,4,5,7}:{(5,1),(25,1),(34,1),(35,1),(36,1),(73,1),(88,1),(92,1),(123,1),(172,1),(180,1)}
        16:{1,4,5}:{(5,1),(6,1),(26,1),(180,1)}
        17:{2,4,5}:{(5,1),(27,1),(32,1)}
        18:{1,3,5,7}:{(6,1),(7,1),(35,1),(38,1),(39,1),(88,1),(143,1),(167,1),(171,1)}
        19:{1,2,5}:{(6,1),(8,1),(40,1),(142,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(39,1),(41,1),(91,1),(181,1)}
        21:{2,3,6}:{(8,1),(40,1),(41,1),(77,1)}
        22:{2,3,4}:{(32,1),(43,1),(89,1)}
        23:{2,5,6,7}:{(9,1),(44,1),(52,1),(102,1)}
        24:{4,6,7}:{(9,1),(46,1)}
        25:{3,4,7}:{(10,1),(12,1),(48,1),(49,1),(104,1)}
        26:{1,4,6}:{(10,1),(13,1),(16,1),(48,1),(161,1)}
        27:{2,4,6}:{(10,1),(14,1),(17,1),(45,1),(49,1)}
        28:{3,6,7}:{(11,1),(12,1),(52,1)}
        29:{1,3,5,7}:{(12,1),(13,1),(48,1),(51,1),(53,1),(101,1),(104,1),(152,1)}
        30:{2,5,7}:{(12,1),(14,1),(49,1),(52,1)}
        31:{1,2,5,6}:{(13,1),(14,1),(19,1),(50,1),(53,1),(54,1),(63,1),(151,1),(188,1)}
        32:{2,3,5}:{(17,1),(22,1),(45,1),(57,1),(62,1)}
        33:{4,5,6}:{(46,1),(58,1),(161,1)}
        34:{3,4,6}:{(15,1),(58,1),(59,1),(60,1),(116,1),(161,1)}
        35:{1,4,5,7}:{(15,1),(16,1),(18,1),(48,1),(59,1),(101,1),(119,1),(146,1)}
        36:{2,4,5,7}:{(15,1),(17,1),(49,1),(56,1),(60,1),(102,1),(120,1),(147,1)}
        37:{1,2,4,5}:{(16,1),(17,1),(19,1),(50,1),(57,1),(62,1),(65,1),(108,1),(114,1),(151,1)}
        38:{1,3,6}:{(18,1),(59,1),(63,1),(116,1),(188,1)}
        39:{1,2,5,7}:{(18,1),(19,1),(20,1),(63,1),(64,1),(164,1),(184,1)}
        40:{2,3,5}:{(19,1),(21,1),(62,1),(65,1)}
        41:{2,3,7}:{(20,1),(21,1),(104,1),(194,1)}
        42:{2,3,4,7}:{(22,1),(56,1),(66,1),(67,1),(117,1),(147,1),(185,1),(203,1)}
        43:{1,2,4}:{(22,1),(57,1),(68,1),(114,1)}
        44:{2,4,6,7}:{(23,1),(24,1),(69,1),(70,1)}
        45:{2,3,6}:{(27,1),(32,1),(71,1),(72,1),(77,1)}
        46:{4,5,7}:{(24,1),(33,1),(73,1),(172,1)}
        47:{3,4,6,7}:{(24,1),(25,1),(28,1),(34,1),(70,1),(73,1),(74,1),(75,1),(123,1),(130,1),(172,1)}
        48:{1,4,7}:{(25,1),(26,1),(29,1),(172,1)}
        49:{2,4,7}:{(25,1),(27,1),(30,1),(71,1)}
        50:{1,2,4,6}:{(26,1),(27,1),(31,1),(37,1),(72,1),(76,1),(77,1),(80,1),(128,1)}
        51:{1,3,6,7}:{(28,1),(29,1),(38,1),(74,1),(78,1),(130,1),(167,1)}
        52:{2,6,7}:{(28,1),(30,1)}
        53:{1,2,5,7}:{(29,1),(30,1),(31,1),(76,1),(78,1),(79,1),(171,1)}
        54:{2,3,5,6}:{(31,1),(40,1),(77,1),(79,1),(80,1),(90,1),(132,1),(140,1),(142,1),(174,1),(175,1)}
        55:{2,4,5,6}:{(33,1),(69,1),(81,1),(86,1),(136,1)}
        56:{2,3,5,7}:{(32,1),(36,1),(42,1),(71,1),(82,1),(83,1),(88,1),(93,1),(207,1)}
        57:{1,2,5}:{(32,1),(43,1),(72,1),(84,1)}
        58:{3,5,6}:{(33,1),(34,1),(73,1),(85,1),(86,1)}
        59:{1,4,6}:{(34,1),(35,1),(38,1),(85,1)}
        60:{2,4,6}:{(34,1),(36,1),(82,1),(86,1)}
        61:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(39,1),(76,1),(83,1),(87,1),(88,1),(91,1),(129,1),(134,1),(139,1),(142,1),(144,1),(168,1),(171,1),(172,1),(179,1),(180,1),(198,1),(207,1)}
        62:{3,5}:{(37,1),(77,1),(89,1)}
        63:{1,2,6}:{(38,1),(39,1),(90,1)}
        64:{2,3,5,7}:{(39,1),(40,1),(41,1),(88,1),(90,1),(91,1),(142,1),(182,1),(196,1),(207,1)}
        65:{2,4}:{(40,1),(89,1)}
        66:{2,3,4,6}:{(42,1),(82,1),(93,1),(94,1),(136,1),(141,1),(177,1),(183,1),(201,1)}
        67:{1,2,4,7}:{(42,1),(43,1),(83,1),(94,1),(95,1),(139,1)}
        68:{1,3}:{(43,1)}
        69:{2,4,5,7}:{(44,1),(46,1),(55,1),(96,1),(102,1),(147,1)}
        70:{3,6,7}:{(44,1),(96,1),(97,1)}
        71:{2,3,7}:{(45,1),(49,1),(99,1),(104,1)}
        72:{1,2,6}:{(45,1),(57,1),(99,1),(100,1)}
        73:{3,5,7}:{(46,1),(47,1),(58,1),(101,1),(102,1)}
        74:{1,4,6,7}:{(47,1),(48,1),(51,1),(59,1),(97,1),(101,1),(146,1)}
        75:{2,4,6,7}:{(47,1),(49,1),(52,1),(60,1),(98,1),(102,1),(147,1)}
        76:{1,2,4,7}:{(48,1),(49,1),(50,1),(53,1),(99,1),(104,1),(107,1),(150,1)}
        77:{3,6}:{(50,1),(62,1),(104,1)}
        78:{1,2,6,7}:{(51,1),(52,1),(53,1),(63,1),(106,1),(184,1),(188,1)}
        79:{2,3,5,7}:{(53,1),(54,1),(104,1),(106,1),(107,1),(152,1),(154,1),(155,1)}
        80:{2,4,6}:{(54,1),(65,1),(105,1),(107,1),(108,1),(161,1)}
        81:{3,5,6}:{(55,1),(96,1),(109,1),(110,1)}
        82:{2,3,6}:{(56,1),(60,1),(112,1),(116,1),(209,1)}
        83:{1,2,5,7}:{(56,1),(57,1),(67,1),(99,1),(112,1),(113,1),(121,1)}
        84:{1,3,5}:{(57,1),(62,1),(68,1),(100,1),(114,1),(151,1)}
        85:{1,5,6}:{(58,1),(59,1),(101,1)}
        86:{2,5,6}:{(58,1),(60,1),(102,1)}
        87:{1,2,4,6}:{(59,1),(60,1),(61,1),(63,1),(112,1),(115,1),(116,1),(118,1),(156,1),(160,1),(161,1),(188,1),(205,1),(209,1)}
        88:{3,5,7}:{(61,1),(62,1),(104,1),(116,1),(117,1),(162,1),(165,1),(185,1)}
        89:{3,4}:{(62,1),(65,1),(114,1)}
        90:{2,3,6}:{(63,1),(64,1),(116,1),(118,1),(209,1)}
        91:{2,4,7}:{(64,1),(65,1),(117,1),(118,1),(195,1)}
        92:{3,4,5}:{(109,1),(119,1),(120,1),(165,1)}
        93:{2,3,5}:{(66,1),(120,1),(121,1),(162,1),(165,1),(206,1)}
        94:{1,2,4,6}:{(66,1),(67,1),(112,1),(121,1),(122,1),(160,1),(166,1)}
        95:{1,3,7}:{(67,1),(68,1),(122,1),(185,1)}
        96:{3,5,7}:{(69,1),(70,1),(81,1),(123,1),(124,1)}
        97:{1,6,7}:{(70,1),(124,1)}
        98:{2,3,6,7}:{(70,1),(71,1),(75,1),(82,1),(125,1),(126,1),(130,1)}
        99:{1,2,7}:{(71,1),(72,1),(127,1)}
       100:{1,3,6}:{(72,1),(77,1),(84,1),(127,1),(128,1)}
       101:{1,5,7}:{(73,1),(74,1),(85,1)}
       102:{2,5,7}:{(73,1),(75,1),(86,1)}
       103:{1,2,4,6,7}:{(74,1),(75,1),(76,1),(78,1),(87,1),(126,1),(129,1),(130,1),(133,1),(168,1),(170,1),(172,1)}
       104:{3,7}:{(76,1),(77,1)}
       105:{3,4,6}:{(77,1),(80,1),(89,1),(128,1),(131,1),(132,1),(174,1)}
       106:{2,3,6,7}:{(78,1),(79,1),(90,1),(130,1),(133,1),(174,1),(196,1)}
       107:{2,4,7}:{(79,1),(80,1),(131,1),(172,1)}
       108:{2,4,5}:{(80,1),(132,1),(142,1),(180,1)}
       109:{3,4,6}:{(81,1),(92,1),(123,1),(135,1),(136,1),(177,1)}
       110:{1,5,6}:{(81,1),(124,1),(135,1)}
       111:{2,3,5,6}:{(81,1),(82,1),(86,1),(93,1),(125,1),(136,1),(137,1),(140,1),(177,1)}
       112:{1,2,6}:{(82,1),(83,1),(138,1)}
       113:{1,3,5,7}:{(83,1),(84,1),(88,1),(95,1),(127,1),(138,1),(139,1),(145,1),(171,1),(179,1)}
       114:{1,4}:{(84,1),(89,1)}
       115:{1,2,5,6}:{(85,1),(86,1),(87,1),(129,1),(140,1),(142,1),(175,1),(179,1),(199,1)}
       116:{3,6}:{(87,1),(88,1)}
       117:{3,4,7}:{(88,1),(89,1),(91,1),(139,1),(141,1),(172,1),(183,1)}
       118:{2,4,6}:{(90,1),(91,1),(141,1),(142,1)}
       119:{1,4,5}:{(92,1),(135,1),(143,1)}
       120:{2,4,5}:{(92,1),(93,1),(136,1),(180,1)}
       121:{1,2,5}:{(93,1),(94,1),(145,1),(179,1)}
       122:{1,3,6}:{(94,1),(95,1),(145,1),(177,1)}
       123:{3,4,7}:{(96,1),(109,1),(146,1),(147,1),(185,1)}
       124:{1,5,7}:{(96,1),(97,1),(110,1),(146,1)}
       125:{2,3,5,7}:{(96,1),(98,1),(102,1),(111,1),(147,1),(148,1),(152,1),(185,1)}
       126:{1,2,6,7}:{(97,1),(98,1),(99,1),(112,1),(148,1),(149,1),(209,1)}
       127:{1,3,7}:{(99,1),(100,1),(104,1),(150,1)}
       128:{1,4,6}:{(100,1),(105,1),(114,1),(150,1),(151,1),(188,1)}
       129:{1,2,5,7}:{(101,1),(102,1),(103,1),(115,1),(152,1),(155,1),(187,1)}
       130:{3,6,7}:{(103,1),(104,1),(116,1),(152,1),(185,1)}
       131:{3,4,7}:{(104,1),(105,1),(107,1),(150,1),(154,1)}
       132:{3,5}:{(105,1),(108,1),(151,1)}
       133:{2,4,6,7}:{(106,1),(107,1),(118,1),(153,1),(155,1),(156,1),(203,1),(209,1)}
       134:{2,4,5,7}:{(107,1),(108,1),(154,1),(155,1),(156,1),(189,1)}
       135:{1,4,6}:{(109,1),(110,1),(119,1),(146,1),(157,1)}
       136:{2,4,6}:{(109,1),(111,1),(120,1),(147,1),(161,1)}
       137:{1,2,5,6}:{(110,1),(111,1),(112,1),(121,1),(148,1),(158,1),(159,1),(206,1),(209,1)}
       138:{1,3,6}:{(112,1),(113,1),(116,1),(160,1),(188,1)}
       139:{1,4,7}:{(113,1),(114,1),(117,1),(160,1),(166,1)}
       140:{3,5,6}:{(115,1),(116,1),(152,1),(161,1),(162,1)}
       141:{3,4,6}:{(116,1),(117,1),(118,1),(160,1),(161,1),(162,1)}
       142:{2,5}:{(118,1),(162,1)}
       143:{1,3,5}:{(119,1),(157,1),(163,1),(164,1),(165,1)}
       144:{1,2,4,5}:{(119,1),(120,1),(121,1),(158,1),(164,1),(165,1),(166,1),(193,1),(195,1),(206,1)}
       145:{1,3,5}:{(121,1),(122,1),(165,1),(166,1)}
       146:{1,4,7}:{(123,1),(124,1),(135,1),(167,1)}
       147:{2,4,7}:{(123,1),(125,1),(136,1),(172,1)}
       148:{1,2,5,7}:{(124,1),(125,1),(126,1),(137,1),(168,1),(169,1),(207,1)}
       149:{1,3,6,7}:{(126,1),(127,1),(130,1),(138,1),(169,1),(170,1),(208,1)}
       150:{1,4,7}:{(127,1),(128,1),(131,1),(171,1)}
       151:{1,5}:{(128,1),(132,1)}
       152:{3,5,7}:{(129,1),(130,1),(140,1),(172,1)}
       153:{3,4,6,7}:{(130,1),(131,1),(133,1),(141,1),(170,1),(172,1),(173,1),(174,1),(197,1),(200,1),(208,1)}
       154:{3,5,7}:{(131,1),(132,1),(134,1),(171,1),(174,1)}
       155:{2,5,7}:{(133,1),(142,1),(173,1),(175,1)}
       156:{2,4,6}:{(134,1),(174,1),(175,1),(200,1)}
       157:{1,3,6}:{(135,1),(143,1),(167,1),(176,1),(177,1)}
       158:{1,2,4,6}:{(135,1),(136,1),(137,1),(144,1),(168,1),(176,1),(177,1),(178,1),(201,1)}
       159:{1,3,5,6}:{(137,1),(138,1),(140,1),(145,1),(169,1),(177,1),(178,1),(179,1),(199,1),(202,1),(208,1)}
       160:{1,4,6}:{(138,1),(139,1),(141,1),(179,1)}
       161:{4,6}:{(140,1),(172,1),(180,1)}
       162:{3,5}:{(141,1),(142,1),(179,1),(180,1)}
       163:{1,3,4}:{(143,1),(181,1),(183,1)}
       164:{1,2,5}:{(143,1),(176,1),(181,1),(182,1)}
       165:{3,5}:{(144,1),(177,1),(183,1)}
       166:{1,4}:{(145,1),(183,1)}
       167:{1,3,7}:{(146,1),(157,1),(184,1),(185,1)}
       168:{1,2,4,7}:{(146,1),(147,1),(148,1),(158,1),(184,1),(185,1),(186,1),(203,1)}
       169:{1,3,5,7}:{(148,1),(149,1),(152,1),(159,1),(185,1),(186,1),(187,1),(204,1)}
       170:{1,4,6,7}:{(149,1),(150,1),(153,1),(160,1),(186,1),(187,1),(188,1),(205,1)}
       171:{1,5,7}:{(150,1),(151,1),(154,1),(188,1)}
       172:{4,7}:{(152,1),(161,1)}
       173:{3,5,7}:{(153,1),(155,1),(162,1),(187,1),(189,1),(190,1)}
       174:{3,6}:{(154,1),(156,1),(188,1)}
       175:{2,5,6}:{(155,1),(156,1),(190,1),(209,1)}
       176:{1,2,6}:{(157,1),(164,1),(184,1),(191,1)}
       177:{3,6}:{(158,1),(165,1),(185,1)}
       178:{1,4,6}:{(159,1),(161,1),(166,1),(186,1),(192,1),(193,1)}
       179:{1,5}:{(160,1),(162,1)}
       180:{4,5}:{(161,1),(162,1)}
       181:{1,2,4}:{(163,1),(164,1),(194,1),(195,1)}
       182:{2,3,5}:{(164,1),(165,1),(191,1),(194,1),(195,1),(206,1)}
       183:{3,4}:{(165,1),(166,1),(195,1)}
       184:{1,2,7}:{(167,1),(176,1),(196,1)}
       185:{3,7}:{(168,1),(177,1)}
       186:{1,4,7}:{(169,1),(172,1),(178,1),(197,1)}
       187:{1,5,7}:{(170,1),(173,1),(179,1),(199,1)}
       188:{1,6}:{(171,1),(174,1)}
       189:{4,5,7}:{(172,1),(173,1),(180,1),(200,1)}
       190:{3,5,6}:{(173,1),(174,1),(175,1),(199,1),(200,1),(208,1)}
       191:{2,3,6}:{(176,1),(177,1),(182,1),(196,1),(201,1)}
       192:{3,4,6}:{(177,1),(178,1),(183,1),(197,1),(201,1),(202,1),(208,1)}
       193:{1,4,5}:{(178,1),(179,1),(180,1),(202,1)}
       194:{2,3}:{(181,1)}
       195:{2,4}:{(182,1),(183,1)}
       196:{2,3,7}:{(184,1),(185,1),(191,1),(203,1)}
       197:{3,4,7}:{(185,1),(186,1),(192,1),(203,1),(204,1)}
       198:{1,4,5,7}:{(186,1),(187,1),(189,1),(193,1),(204,1),(205,1)}
       199:{1,5,6}:{(187,1),(188,1),(190,1),(205,1)}
       200:{4,6}:{(189,1),(190,1)}
       201:{2,4,6}:{(191,1),(192,1),(195,1),(203,1),(206,1),(209,1)}
       202:{3,5}:{(192,1),(193,1),(206,1)}
       203:{2,4,7}:{(196,1),(197,1),(201,1),(207,1)}
       204:{3,5,7}:{(197,1),(198,1),(202,1),(207,1),(208,1)}
       205:{1,4,6}:{(198,1),(199,1),(200,1),(208,1)}
       206:{2,5}:{(201,1),(202,1)}
       207:{2,5,7}:{(203,1),(204,1),(206,1),(209,1)}
       208:{3,6}:{(204,1),(205,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

 824 :   0:{1,5,6,7}:{(2,1),(4,1),(79,1),(86,1)}
         1:{1,3,4,7}:{(6,1),(7,1),(8,1),(91,1),(92,1),(147,1),(154,1),(187,1)}
         2:{3,5,6,7}:{(0,1),(9,1),(10,1),(16,1),(50,1),(54,1)}
         3:{3,4,5,7}:{(12,1),(13,1),(14,1),(20,1),(54,1),(60,1),(61,1),(73,1),(108,1),(166,1),(168,1)}
         4:{1,4,6,7}:{(0,1),(10,1),(15,1),(16,1)}
         5:{1,4,5,6}:{(11,1),(15,1),(17,1),(57,1),(65,1)}
         6:{1,3,5,7}:{(1,1),(13,1),(18,1),(19,1),(21,1),(60,1),(131,1),(158,1),(200,1)}
         7:{1,3,4,6}:{(1,1),(18,1),(21,1),(22,1),(65,1),(120,1),(126,1),(130,1),(173,1)}
         8:{1,2,4,7}:{(1,1),(19,1),(22,1),(23,1),(69,1),(175,1)}
         9:{2,5,6,7}:{(2,1),(25,1),(36,1),(87,1)}
        10:{4,6,7}:{(2,1),(28,1)}
        11:{4,5,6}:{(28,1),(30,1),(144,1)}
        12:{3,4,6}:{(3,1),(30,1),(31,1),(32,1),(90,1),(144,1)}
        13:{1,4,5,7}:{(3,1),(6,1),(31,1),(42,1),(86,1),(92,1),(103,1),(134,1)}
        14:{2,4,5,7}:{(3,1),(27,1),(32,1),(43,1),(87,1),(93,1),(104,1),(135,1)}
        15:{1,4,5,7}:{(4,1),(5,1),(28,1),(34,1),(86,1),(92,1)}
        16:{3,6,7}:{(4,1),(34,1),(36,1)}
        17:{3,5,6}:{(5,1),(34,1),(37,1),(39,1)}
        18:{1,3,6}:{(6,1),(31,1),(40,1),(90,1),(206,1)}
        19:{1,2,5,7}:{(6,1),(8,1),(40,1),(41,1),(44,1),(155,1),(178,1)}
        20:{3,4,5}:{(37,1),(42,1),(43,1),(101,1)}
        21:{1,3,5}:{(7,1),(42,1),(44,1),(101,1),(145,1),(190,1)}
        22:{1,2,4,6}:{(7,1),(8,1),(40,1),(44,1),(45,1),(99,1),(102,1)}
        23:{2,3,7}:{(8,1),(45,1),(147,1),(191,1)}
        24:{2,3,4,7}:{(27,1),(46,1),(47,1),(48,1),(91,1),(135,1),(179,1),(202,1)}
        25:{2,4,6,7}:{(9,1),(10,1),(49,1),(50,1)}
        26:{2,4,5,6}:{(11,1),(49,1),(51,1),(58,1),(113,1)}
        27:{2,3,5,7}:{(14,1),(24,1),(52,1),(53,1),(60,1),(70,1),(74,1),(121,1),(207,1)}
        28:{4,5,7}:{(10,1),(11,1),(54,1),(166,1)}
        29:{3,4,6,7}:{(10,1),(12,1),(16,1),(50,1),(54,1),(55,1),(56,1),(61,1),(108,1),(118,1),(166,1)}
        30:{3,5,6}:{(11,1),(12,1),(54,1),(57,1),(58,1)}
        31:{1,4,6}:{(12,1),(13,1),(18,1),(57,1)}
        32:{2,4,6}:{(12,1),(14,1),(52,1),(58,1)}
        33:{1,2,4,5,7}:{(13,1),(14,1),(19,1),(53,1),(59,1),(60,1),(69,1),(71,1),(116,1),(117,1),(122,1),(128,1),(132,1),(159,1),(165,1),(166,1),(168,1),(171,1),(195,1),(200,1),(207,1)}
        34:{3,5,7}:{(15,1),(16,1),(17,1),(61,1),(63,1)}
        35:{1,3,6,7}:{(16,1),(18,1),(55,1),(62,1),(64,1),(118,1),(158,1)}
        36:{2,6,7}:{(16,1),(63,1)}
        37:{3,4,6}:{(17,1),(20,1),(61,1),(65,1),(66,1),(126,1)}
        38:{1,3,5,6}:{(17,1),(18,1),(21,1),(57,1),(62,1),(65,1),(67,1),(119,1),(126,1)}
        39:{2,5,6}:{(17,1),(63,1),(66,1)}
        40:{1,2,6}:{(18,1),(19,1),(68,1)}
        41:{2,3,5,7}:{(19,1),(23,1),(60,1),(68,1),(69,1),(72,1),(128,1),(176,1),(193,1),(207,1)}
        42:{1,4,5}:{(20,1),(21,1),(65,1),(168,1)}
        43:{2,4,5}:{(20,1),(66,1),(70,1)}
        44:{1,2,5}:{(21,1),(22,1),(72,1),(128,1)}
        45:{2,3,6}:{(22,1),(23,1),(72,1),(126,1)}
        46:{2,3,4,6}:{(24,1),(52,1),(74,1),(75,1),(113,1),(120,1),(163,1),(177,1),(197,1)}
        47:{1,2,4,7}:{(24,1),(53,1),(75,1),(76,1),(77,1),(116,1)}
        48:{2,3,4}:{(70,1),(77,1),(130,1)}
        49:{2,4,5,7}:{(25,1),(26,1),(28,1),(78,1),(87,1),(135,1)}
        50:{3,6,7}:{(25,1),(78,1),(79,1)}
        51:{3,5,6}:{(26,1),(78,1),(81,1),(82,1)}
        52:{2,3,6}:{(27,1),(32,1),(84,1),(90,1),(209,1)}
        53:{1,2,5,7}:{(27,1),(47,1),(84,1),(85,1),(100,1),(105,1),(146,1)}
        54:{3,5,7}:{(28,1),(29,1),(30,1),(86,1),(87,1)}
        55:{1,4,6,7}:{(29,1),(31,1),(35,1),(79,1),(86,1),(92,1),(134,1)}
        56:{2,4,6,7}:{(29,1),(32,1),(36,1),(80,1),(87,1),(93,1),(135,1)}
        57:{1,5,6}:{(30,1),(31,1),(86,1)}
        58:{2,5,6}:{(30,1),(32,1),(87,1)}
        59:{1,2,4,6}:{(31,1),(32,1),(33,1),(40,1),(84,1),(89,1),(90,1),(99,1),(141,1),(144,1),(189,1),(204,1),(206,1),(209,1)}
        60:{3,5,7}:{(33,1),(90,1),(91,1),(101,1),(145,1),(147,1),(156,1),(179,1)}
        61:{3,4,7}:{(34,1),(37,1),(92,1),(93,1),(147,1)}
        62:{1,3,5,7}:{(34,1),(35,1),(38,1),(86,1),(92,1),(94,1),(142,1),(147,1)}
        63:{2,5,7}:{(34,1),(36,1),(39,1),(93,1)}
        64:{1,2,6,7}:{(35,1),(36,1),(40,1),(94,1),(95,1),(178,1),(206,1)}
        65:{1,4,6}:{(37,1),(38,1),(42,1),(92,1),(144,1)}
        66:{2,4,6}:{(37,1),(39,1),(43,1),(93,1),(96,1)}
        67:{1,2,5,6}:{(38,1),(39,1),(40,1),(44,1),(94,1),(97,1),(98,1),(190,1),(206,1)}
        68:{2,3,6}:{(40,1),(41,1),(90,1),(99,1),(209,1)}
        69:{2,4,7}:{(41,1),(91,1),(99,1),(102,1),(192,1)}
        70:{2,3,5}:{(43,1),(48,1),(96,1),(100,1),(101,1)}
        71:{1,2,4,5}:{(42,1),(43,1),(44,1),(97,1),(100,1),(101,1),(102,1),(152,1),(153,1),(190,1)}
        72:{2,3,5}:{(44,1),(45,1),(101,1),(102,1)}
        73:{3,4,5}:{(81,1),(103,1),(104,1),(156,1)}
        74:{2,3,5}:{(46,1),(104,1),(105,1),(145,1),(156,1),(205,1)}
        75:{1,2,4,6}:{(46,1),(47,1),(84,1),(105,1),(106,1),(141,1),(157,1)}
        76:{1,3,7}:{(47,1),(106,1),(107,1),(179,1)}
        77:{1,2,4}:{(48,1),(100,1),(107,1),(153,1)}
        78:{3,5,7}:{(49,1),(50,1),(51,1),(108,1),(109,1)}
        79:{1,6,7}:{(50,1),(109,1)}
        80:{2,3,6,7}:{(50,1),(52,1),(56,1),(110,1),(111,1),(118,1),(121,1)}
        81:{3,4,6}:{(51,1),(73,1),(108,1),(112,1),(113,1),(163,1)}
        82:{1,5,6}:{(51,1),(109,1),(112,1)}
        83:{2,3,5,6}:{(51,1),(52,1),(58,1),(74,1),(110,1),(113,1),(114,1),(119,1),(163,1)}
        84:{1,2,6}:{(52,1),(53,1),(115,1)}
        85:{1,3,5,7}:{(53,1),(60,1),(76,1),(115,1),(116,1),(129,1),(133,1),(165,1),(169,1),(200,1)}
        86:{1,5,7}:{(54,1),(55,1),(57,1)}
        87:{2,5,7}:{(54,1),(56,1),(58,1)}
        88:{1,2,4,6,7}:{(55,1),(56,1),(59,1),(64,1),(111,1),(117,1),(118,1),(122,1),(124,1),(159,1),(161,1),(166,1)}
        89:{1,2,5,6}:{(57,1),(58,1),(59,1),(117,1),(119,1),(128,1),(165,1),(172,1),(196,1)}
        90:{3,6}:{(59,1),(60,1)}
        91:{3,4,7}:{(60,1),(69,1),(116,1),(120,1),(130,1),(166,1),(177,1)}
        92:{1,4,7}:{(61,1),(62,1),(65,1),(166,1)}
        93:{2,4,7}:{(61,1),(63,1),(66,1),(121,1)}
        94:{1,2,5,7}:{(62,1),(63,1),(64,1),(67,1),(122,1),(123,1),(200,1)}
        95:{2,3,6,7}:{(64,1),(68,1),(118,1),(123,1),(124,1),(193,1),(201,1)}
        96:{2,3,6}:{(66,1),(70,1),(121,1),(125,1),(126,1)}
        97:{1,2,4,6}:{(65,1),(66,1),(67,1),(71,1),(122,1),(125,1),(126,1),(127,1),(173,1)}
        98:{2,3,5,6}:{(67,1),(68,1),(72,1),(119,1),(123,1),(126,1),(127,1),(128,1),(172,1),(174,1),(201,1)}
        99:{2,4,6}:{(68,1),(69,1),(120,1),(128,1)}
       100:{1,2,5}:{(70,1),(77,1),(125,1),(129,1)}
       101:{3,5}:{(71,1),(126,1),(130,1)}
       102:{2,4}:{(72,1),(130,1)}
       103:{1,4,5}:{(73,1),(112,1),(131,1)}
       104:{2,4,5}:{(73,1),(74,1),(113,1),(168,1)}
       105:{1,2,5}:{(74,1),(75,1),(133,1),(165,1)}
       106:{1,3,6}:{(75,1),(76,1),(133,1),(163,1)}
       107:{1,3}:{(77,1)}
       108:{3,4,7}:{(78,1),(81,1),(134,1),(135,1),(179,1)}
       109:{1,5,7}:{(78,1),(79,1),(82,1),(134,1)}
       110:{2,3,5,7}:{(78,1),(80,1),(83,1),(87,1),(135,1),(136,1),(142,1),(179,1)}
       111:{1,2,6,7}:{(79,1),(80,1),(84,1),(136,1),(137,1),(146,1),(209,1)}
       112:{1,4,6}:{(81,1),(82,1),(103,1),(134,1),(138,1)}
       113:{2,4,6}:{(81,1),(83,1),(104,1),(135,1),(144,1)}
       114:{1,2,5,6}:{(82,1),(83,1),(84,1),(105,1),(136,1),(139,1),(140,1),(205,1),(209,1)}
       115:{1,3,6}:{(84,1),(85,1),(90,1),(141,1),(206,1)}
       116:{1,4,7}:{(85,1),(91,1),(141,1),(153,1),(157,1)}
       117:{1,2,5,7}:{(86,1),(87,1),(88,1),(89,1),(142,1),(149,1),(181,1)}
       118:{3,6,7}:{(88,1),(90,1),(142,1),(147,1),(179,1)}
       119:{3,5,6}:{(89,1),(90,1),(142,1),(144,1),(145,1)}
       120:{3,4,6}:{(90,1),(91,1),(99,1),(141,1),(144,1),(145,1)}
       121:{2,3,7}:{(93,1),(96,1),(146,1),(147,1)}
       122:{1,2,4,7}:{(92,1),(93,1),(94,1),(97,1),(146,1),(147,1),(148,1),(187,1)}
       123:{2,3,5,7}:{(94,1),(95,1),(98,1),(142,1),(147,1),(148,1),(149,1),(188,1)}
       124:{2,4,6,7}:{(95,1),(99,1),(143,1),(148,1),(149,1),(189,1),(202,1),(209,1)}
       125:{1,2,6}:{(96,1),(100,1),(146,1),(150,1)}
       126:{3,6}:{(97,1),(101,1),(147,1)}
       127:{2,4,6}:{(98,1),(102,1),(144,1),(148,1),(151,1),(152,1)}
       128:{2,5}:{(99,1),(145,1)}
       129:{1,3,5}:{(100,1),(101,1),(107,1),(150,1),(153,1),(190,1)}
       130:{3,4}:{(101,1),(102,1),(153,1)}
       131:{1,3,5}:{(103,1),(138,1),(154,1),(155,1),(156,1)}
       132:{1,2,4,5}:{(103,1),(104,1),(105,1),(139,1),(155,1),(156,1),(157,1),(184,1),(192,1),(205,1)}
       133:{1,3,5}:{(105,1),(106,1),(156,1),(157,1)}
       134:{1,4,7}:{(108,1),(109,1),(112,1),(158,1)}
       135:{2,4,7}:{(108,1),(110,1),(113,1),(166,1)}
       136:{1,2,5,7}:{(109,1),(110,1),(111,1),(114,1),(159,1),(160,1),(207,1)}
       137:{1,3,6,7}:{(111,1),(115,1),(118,1),(160,1),(161,1),(169,1),(208,1)}
       138:{1,3,6}:{(112,1),(131,1),(158,1),(162,1),(163,1)}
       139:{1,2,4,6}:{(112,1),(113,1),(114,1),(132,1),(159,1),(162,1),(163,1),(164,1),(197,1)}
       140:{1,3,5,6}:{(114,1),(115,1),(119,1),(133,1),(160,1),(163,1),(164,1),(165,1),(196,1),(198,1),(208,1)}
       141:{1,4,6}:{(115,1),(116,1),(120,1),(165,1)}
       142:{3,5,7}:{(117,1),(118,1),(119,1),(166,1)}
       143:{3,4,6,7}:{(118,1),(120,1),(124,1),(161,1),(166,1),(167,1),(170,1),(194,1),(199,1),(201,1),(208,1)}
       144:{4,6}:{(119,1),(166,1),(168,1)}
       145:{3,5}:{(120,1),(128,1),(165,1),(168,1)}
       146:{1,2,7}:{(121,1),(125,1),(169,1)}
       147:{3,7}:{(122,1),(126,1)}
       148:{2,4,7}:{(123,1),(127,1),(166,1),(170,1)}
       149:{2,5,7}:{(124,1),(128,1),(167,1),(172,1)}
       150:{1,3,6}:{(125,1),(126,1),(129,1),(169,1),(173,1)}
       151:{3,4,6}:{(126,1),(127,1),(130,1),(170,1),(173,1),(174,1),(201,1)}
       152:{2,4,5}:{(127,1),(128,1),(168,1),(174,1)}
       153:{1,4}:{(129,1),(130,1)}
       154:{1,3,4}:{(131,1),(175,1),(177,1)}
       155:{1,2,5}:{(131,1),(162,1),(175,1),(176,1)}
       156:{3,5}:{(132,1),(163,1),(177,1)}
       157:{1,4}:{(133,1),(177,1)}
       158:{1,3,7}:{(134,1),(138,1),(178,1),(179,1)}
       159:{1,2,4,7}:{(134,1),(135,1),(136,1),(139,1),(178,1),(179,1),(180,1),(202,1)}
       160:{1,3,5,7}:{(136,1),(137,1),(140,1),(142,1),(179,1),(180,1),(181,1),(203,1)}
       161:{1,4,6,7}:{(137,1),(141,1),(143,1),(180,1),(181,1),(187,1),(204,1),(206,1)}
       162:{1,2,6}:{(138,1),(155,1),(178,1),(182,1)}
       163:{3,6}:{(139,1),(156,1),(179,1)}
       164:{1,4,6}:{(140,1),(144,1),(157,1),(180,1),(183,1),(184,1)}
       165:{1,5}:{(141,1),(145,1)}
       166:{4,7}:{(142,1),(144,1)}
       167:{3,5,7}:{(143,1),(145,1),(149,1),(181,1),(185,1),(186,1)}
       168:{4,5}:{(144,1),(145,1)}
       169:{1,3,7}:{(146,1),(147,1),(150,1),(187,1)}
       170:{3,4,7}:{(147,1),(148,1),(151,1),(187,1),(188,1)}
       171:{2,4,5,7}:{(148,1),(149,1),(152,1),(185,1),(188,1),(189,1)}
       172:{2,5,6}:{(149,1),(186,1),(189,1),(209,1)}
       173:{1,4,6}:{(150,1),(151,1),(153,1),(187,1),(190,1),(206,1)}
       174:{3,5}:{(151,1),(152,1),(190,1)}
       175:{1,2,4}:{(154,1),(155,1),(191,1),(192,1)}
       176:{2,3,5}:{(155,1),(156,1),(182,1),(191,1),(192,1),(205,1)}
       177:{3,4}:{(156,1),(157,1),(192,1)}
       178:{1,2,7}:{(158,1),(162,1),(193,1)}
       179:{3,7}:{(159,1),(163,1)}
       180:{1,4,7}:{(160,1),(164,1),(166,1),(194,1)}
       181:{1,5,7}:{(161,1),(165,1),(167,1),(196,1)}
       182:{2,3,6}:{(162,1),(163,1),(176,1),(193,1),(197,1)}
       183:{3,4,6}:{(163,1),(164,1),(177,1),(194,1),(197,1),(198,1),(208,1)}
       184:{1,4,5}:{(164,1),(165,1),(168,1),(198,1)}
       185:{4,5,7}:{(166,1),(167,1),(168,1),(199,1)}
       186:{3,5,6}:{(167,1),(172,1),(196,1),(199,1),(201,1),(208,1)}
       187:{1,4,7}:{(169,1),(170,1),(173,1),(200,1)}
       188:{3,5,7}:{(170,1),(171,1),(174,1),(200,1),(201,1)}
       189:{2,4,6}:{(171,1),(172,1),(199,1),(201,1)}
       190:{1,5}:{(173,1),(174,1)}
       191:{2,3}:{(175,1)}
       192:{2,4}:{(176,1),(177,1)}
       193:{2,3,7}:{(178,1),(179,1),(182,1),(202,1)}
       194:{3,4,7}:{(179,1),(180,1),(183,1),(202,1),(203,1)}
       195:{1,4,5,7}:{(180,1),(181,1),(184,1),(185,1),(203,1),(204,1)}
       196:{1,5,6}:{(181,1),(186,1),(204,1),(206,1)}
       197:{2,4,6}:{(182,1),(183,1),(192,1),(202,1),(205,1),(209,1)}
       198:{3,5}:{(183,1),(184,1),(205,1)}
       199:{4,6}:{(185,1),(186,1)}
       200:{1,5,7}:{(187,1),(188,1),(190,1),(206,1)}
       201:{3,6}:{(188,1),(189,1),(206,1)}
       202:{2,4,7}:{(193,1),(194,1),(197,1),(207,1)}
       203:{3,5,7}:{(194,1),(195,1),(198,1),(207,1),(208,1)}
       204:{1,4,6}:{(195,1),(196,1),(199,1),(208,1)}
       205:{2,5}:{(197,1),(198,1)}
       206:{1,6}:{(200,1),(201,1)}
       207:{2,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       208:{3,6}:{(203,1),(204,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

 825 :   0:{1,3,4,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1),(51,1),(55,1),(83,1),(90,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(69,1),(100,1),(104,1)}
         2:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(37,1),(71,1),(101,1)}
         3:{2,3,6,7}:{(1,1),(8,1),(29,1),(113,1),(117,1)}
         4:{1,2,5,7}:{(1,1),(2,1),(8,1),(9,1),(53,1),(114,1)}
         5:{1,3,5,6}:{(2,1),(9,1),(11,1),(29,1),(32,1)}
         6:{1,4,5,7}:{(2,1),(11,1),(12,1),(83,1),(86,1)}
         7:{1,3,5,6,7}:{(5,1),(13,1),(14,1),(36,1),(37,1),(67,1),(120,1)}
         8:{2,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(18,1),(125,1)}
         9:{1,2,5,6}:{(4,1),(5,1),(15,1),(17,1),(47,1),(71,1)}
        10:{1,2,4,5,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(21,1),(39,1),(41,1),(46,1),(71,1),(100,1),(102,1)}
        11:{1,4,6}:{(5,1),(6,1),(20,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(66,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(9,1),(22,1),(23,1),(53,1),(80,1),(85,1),(108,1)}
        14:{1,4,6,7}:{(7,1),(11,1),(24,1),(25,1),(83,1),(129,1)}
        15:{2,3,5,6}:{(8,1),(9,1),(26,1),(29,1),(54,1)}
        16:{2,4,7}:{(8,1),(26,1),(27,1),(132,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(11,1),(26,1),(29,1),(33,1),(55,1),(61,1)}
        18:{3,5,7}:{(10,1),(27,1),(29,1),(54,1),(113,1),(115,1)}
        19:{1,4,5,6}:{(11,1),(24,1),(32,1)}
        20:{3,4,6}:{(11,1),(12,1),(29,1),(32,1),(33,1)}
        21:{2,4,5,7}:{(12,1),(31,1),(33,1),(53,1),(84,1),(87,1)}
        22:{2,3,5,6,7}:{(13,1),(15,1),(34,1),(36,1),(63,1),(68,1),(94,1)}
        23:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(38,1),(64,1),(69,1),(100,1),(119,1)}
        24:{1,4,5,7}:{(14,1),(19,1),(37,1),(135,1)}
        25:{3,4,6,7}:{(14,1),(20,1),(36,1),(37,1),(38,1),(66,1),(134,1)}
        26:{2,4,6}:{(15,1),(16,1),(39,1),(40,1)}
        27:{3,4,7}:{(16,1),(18,1),(40,1),(41,1),(126,1)}
        28:{1,2,4,5,6}:{(17,1),(19,1),(35,1),(39,1),(43,1),(47,1),(62,1),(71,1),(75,1),(76,1),(77,1),(93,1),(102,1),(119,1),(135,1),(139,1)}
        29:{3,6}:{(17,1),(18,1)}
        30:{1,3,5,7}:{(18,1),(41,1),(44,1),(46,1),(71,1),(74,1),(103,1)}
        31:{2,3,5,7}:{(18,1),(21,1),(42,1),(45,1),(46,1),(72,1)}
        32:{3,5,6}:{(19,1),(20,1),(37,1),(47,1)}
        33:{2,4,6}:{(20,1),(21,1),(45,1),(47,1)}
        34:{2,4,6,7}:{(22,1),(26,1),(48,1),(49,1),(84,1),(107,1)}
        35:{1,2,4,5,7}:{(23,1),(24,1),(28,1),(48,1),(50,1),(53,1),(80,1),(83,1),(84,1),(85,1)}
        36:{3,6,7}:{(23,1),(29,1),(50,1),(113,1),(128,1)}
        37:{3,5,7}:{(24,1),(25,1),(32,1),(53,1),(138,1)}
        38:{2,4,6,7}:{(25,1),(33,1),(52,1),(53,1),(84,1),(137,1)}
        39:{2,4,5}:{(26,1),(54,1)}
        40:{3,4,6}:{(26,1),(27,1),(29,1),(54,1),(55,1)}
        41:{1,4,7}:{(27,1),(30,1),(55,1),(116,1)}
        42:{2,3,4,7}:{(27,1),(31,1),(56,1),(57,1),(84,1),(113,1)}
        43:{3,5,6}:{(28,1),(29,1),(50,1),(54,1),(58,1),(115,1),(128,1),(138,1)}
        44:{1,3,6}:{(29,1),(30,1),(55,1),(61,1)}
        45:{2,3,6}:{(29,1),(31,1),(33,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(57,1),(61,1),(88,1)}
        47:{2,5,6}:{(32,1),(33,1),(53,1)}
        48:{2,4,5,7}:{(34,1),(39,1),(62,1),(63,1)}
        49:{3,4,6,7}:{(34,1),(36,1),(40,1),(63,1),(64,1),(66,1),(92,1)}
        50:{3,5,7}:{(35,1),(36,1),(43,1),(66,1)}
        51:{1,3,6,7}:{(36,1),(44,1),(64,1),(67,1),(69,1),(118,1)}
        52:{2,3,6,7}:{(36,1),(38,1),(45,1),(68,1),(69,1),(133,1)}
        53:{2,5,7}:{(37,1),(38,1),(47,1),(139,1)}
        54:{3,5}:{(39,1),(40,1),(71,1)}
        55:{1,4,6}:{(40,1),(41,1),(44,1),(71,1)}
        56:{2,3,4,6}:{(40,1),(42,1),(45,1),(72,1),(73,1),(76,1),(105,1),(126,1)}
        57:{1,2,4,7}:{(41,1),(42,1),(46,1),(73,1),(74,1)}
        58:{3,4,6}:{(43,1),(66,1),(70,1),(75,1),(76,1),(105,1),(126,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(67,1),(71,1),(75,1),(77,1),(93,1),(101,1),(103,1),(105,1),(118,1)}
        60:{2,3,5,6}:{(43,1),(45,1),(47,1),(68,1),(72,1),(76,1),(77,1),(105,1),(125,1),(133,1),(139,1)}
        61:{1,2,6}:{(44,1),(45,1),(46,1)}
        62:{2,4,5,6}:{(48,1),(78,1),(107,1)}
        63:{3,5,7}:{(48,1),(49,1),(54,1),(78,1),(80,1)}
        64:{1,4,6,7}:{(49,1),(51,1),(55,1),(80,1),(83,1),(106,1)}
        65:{2,3,4,6,7}:{(49,1),(52,1),(56,1),(81,1),(82,1),(84,1),(107,1),(113,1),(128,1),(131,1),(137,1)}
        66:{3,4,7}:{(50,1),(58,1),(83,1),(84,1),(113,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(59,1),(80,1),(83,1),(85,1),(113,1)}
        68:{2,3,5,7}:{(50,1),(52,1),(53,1),(60,1),(84,1),(85,1),(113,1)}
        69:{1,2,6,7}:{(51,1),(52,1),(61,1),(85,1),(127,1)}
        70:{3,4,5}:{(54,1),(58,1),(86,1),(87,1),(115,1),(138,1)}
        71:{1,5}:{(54,1),(55,1)}
        72:{2,3,5}:{(54,1),(56,1),(87,1),(88,1),(115,1)}
        73:{1,2,4,6}:{(55,1),(56,1),(57,1),(61,1),(88,1),(89,1),(116,1)}
        74:{1,3,7}:{(57,1),(89,1),(113,1)}
        75:{1,4,6}:{(58,1),(59,1),(83,1),(86,1),(116,1)}
        76:{2,4,6}:{(58,1),(60,1),(84,1),(87,1),(132,1)}
        77:{1,2,5,6}:{(59,1),(60,1),(61,1),(85,1),(88,1),(91,1),(114,1),(127,1)}
        78:{3,5,6}:{(62,1),(63,1),(92,1),(93,1)}
        79:{3,4,5,7}:{(63,1),(66,1),(70,1),(92,1),(95,1),(96,1),(122,1)}
        80:{1,5,7}:{(63,1),(64,1),(71,1),(93,1)}
        81:{2,3,5,7}:{(63,1),(65,1),(72,1),(94,1),(96,1),(97,1),(122,1),(139,1)}
        82:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(73,1),(97,1),(98,1),(100,1),(119,1),(123,1)}
        83:{1,4,7}:{(66,1),(67,1),(75,1)}
        84:{2,4,7}:{(66,1),(68,1),(76,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(77,1),(100,1)}
        86:{1,4,5}:{(70,1),(71,1),(75,1),(101,1)}
        87:{2,4,5}:{(70,1),(72,1),(76,1),(139,1)}
        88:{1,2,5}:{(71,1),(72,1),(73,1),(103,1)}
        89:{1,3,6}:{(73,1),(74,1),(103,1),(105,1)}
        90:{1,3,4,6}:{(75,1),(99,1),(101,1),(104,1),(105,1),(118,1),(126,1),(134,1)}
        91:{1,2,4,6}:{(75,1),(76,1),(77,1),(100,1),(102,1),(105,1)}
        92:{3,4,6}:{(78,1),(79,1),(106,1),(107,1),(128,1)}
        93:{1,5,6}:{(78,1),(80,1),(106,1)}
        94:{2,3,5,6}:{(78,1),(81,1),(107,1),(108,1),(128,1)}
        95:{1,4,5,7}:{(79,1),(80,1),(83,1),(86,1),(106,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(81,1),(84,1),(87,1),(107,1)}
        97:{1,2,5,7}:{(80,1),(81,1),(82,1),(88,1),(108,1),(111,1)}
        98:{1,3,6,7}:{(82,1),(89,1),(111,1),(113,1),(128,1)}
        99:{1,3,4,7}:{(83,1),(90,1),(109,1),(112,1),(113,1),(131,1)}
       100:{1,2,4,7}:{(83,1),(84,1),(85,1),(91,1),(113,1)}
       101:{1,3,5}:{(86,1),(90,1),(114,1),(115,1),(138,1)}
       102:{1,2,4,5}:{(86,1),(87,1),(88,1),(91,1),(114,1),(115,1),(116,1),(132,1)}
       103:{1,3,5}:{(88,1),(89,1),(115,1),(116,1)}
       104:{1,2,4,6}:{(90,1),(112,1),(114,1),(117,1),(127,1),(132,1),(137,1)}
       105:{3,6}:{(91,1),(113,1),(115,1)}
       106:{1,4,6}:{(92,1),(93,1),(95,1),(118,1)}
       107:{2,4,6}:{(92,1),(94,1),(96,1)}
       108:{1,2,5,6}:{(93,1),(94,1),(97,1),(119,1),(120,1),(139,1)}
       109:{1,3,5,7}:{(95,1),(99,1),(101,1),(118,1),(121,1),(122,1)}
       110:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(100,1),(102,1),(119,1),(121,1),(122,1),(123,1),(135,1),(136,1),(139,1)}
       111:{1,3,5,7}:{(97,1),(98,1),(103,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,7}:{(99,1),(104,1),(121,1),(124,1),(136,1)}
       113:{3,7}:{(100,1),(105,1)}
       114:{1,2,5}:{(101,1),(104,1),(125,1),(139,1)}
       115:{3,5}:{(102,1),(105,1),(126,1)}
       116:{1,4}:{(103,1),(126,1)}
       117:{2,3,6}:{(104,1),(105,1),(124,1),(125,1)}
       118:{1,3,6}:{(106,1),(109,1),(127,1),(128,1)}
       119:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(127,1),(128,1),(129,1),(137,1)}
       120:{1,3,5,6}:{(108,1),(111,1),(128,1),(129,1),(138,1)}
       121:{1,2,5,7}:{(109,1),(112,1),(114,1),(127,1),(130,1)}
       122:{3,5,7}:{(110,1),(113,1),(115,1),(128,1),(131,1),(138,1)}
       123:{1,4,7}:{(111,1),(116,1),(129,1),(131,1)}
       124:{2,3,7}:{(112,1),(113,1),(117,1)}
       125:{2,3,5}:{(114,1),(115,1),(117,1),(132,1)}
       126:{3,4}:{(115,1),(116,1),(132,1)}
       127:{1,2,6}:{(118,1),(121,1),(133,1)}
       128:{3,6}:{(119,1),(122,1)}
       129:{1,4,6}:{(120,1),(123,1),(134,1),(135,1)}
       130:{2,3,5,7}:{(121,1),(122,1),(124,1),(125,1),(133,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(126,1),(134,1),(136,1)}
       132:{2,4}:{(125,1),(126,1)}
       133:{2,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{3,4,6}:{(128,1),(129,1),(131,1),(137,1),(138,1)}
       135:{1,4,5}:{(129,1),(138,1)}
       136:{2,4,7}:{(130,1),(131,1),(132,1),(137,1)}
       137:{2,4,6}:{(133,1),(134,1),(136,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

 826 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(27,1),(28,1),(34,1),(37,1),(38,1),(39,1),(76,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(42,1),(43,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(25,1),(46,1),(47,1),(55,1),(59,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(31,1),(32,1),(34,1)}
         4:{3,4,6}:{(1,1),(8,1),(12,1),(37,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(12,1),(62,1),(63,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(37,1),(66,1),(67,1),(76,1)}
         7:{1,2,4,5,6}:{(3,1),(14,1),(15,1),(20,1),(42,1),(43,1),(45,1),(88,1),(89,1),(90,1)}
         8:{3,5}:{(3,1),(4,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(19,1),(20,1),(25,1),(51,1),(52,1),(55,1),(60,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(21,1),(22,1),(42,1),(56,1),(78,1),(85,1),(104,1)}
        11:{2,3,4,6}:{(4,1),(18,1),(21,1),(23,1),(43,1),(57,1),(78,1),(85,1),(104,1)}
        12:{3,4,7}:{(4,1),(5,1),(19,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(24,1),(25,1),(80,1),(81,1)}
        14:{3,5,6}:{(7,1),(8,1),(26,1),(29,1),(37,1)}
        15:{1,2,4,5,7}:{(7,1),(29,1),(30,1),(62,1),(63,1),(65,1),(95,1),(96,1),(97,1)}
        16:{3,4,5}:{(8,1),(26,1),(31,1),(32,1),(69,1)}
        17:{1,3,5}:{(8,1),(10,1),(31,1),(34,1),(69,1),(108,1)}
        18:{2,3,5}:{(8,1),(11,1),(32,1),(34,1),(69,1),(108,1)}
        19:{3,5,7}:{(8,1),(9,1),(12,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(37,1),(38,1),(71,1),(72,1),(76,1),(77,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(34,1),(39,1),(40,1),(74,1),(76,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(35,1),(40,1),(62,1),(93,1),(98,1)}
        23:{2,3,4,7}:{(11,1),(12,1),(36,1),(40,1),(63,1),(93,1),(98,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(41,1),(77,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(41,1),(95,1),(96,1)}
        26:{3,4,6}:{(14,1),(16,1),(42,1),(43,1),(44,1),(78,1)}
        27:{1,3,5,6}:{(14,1),(17,1),(42,1),(45,1),(46,1),(56,1),(78,1),(88,1),(105,1)}
        28:{2,3,5,6}:{(14,1),(18,1),(43,1),(45,1),(47,1),(57,1),(78,1),(89,1),(105,1)}
        29:{3,5,7}:{(14,1),(15,1),(44,1),(48,1)}
        30:{1,2,4,6,7}:{(15,1),(20,1),(48,1),(49,1),(80,1),(81,1),(83,1),(84,1)}
        31:{1,4,5}:{(16,1),(17,1),(42,1),(111,1)}
        32:{2,4,5}:{(16,1),(18,1),(43,1),(111,1)}
        33:{3,4,5,7}:{(16,1),(19,1),(44,1),(51,1),(52,1),(53,1),(60,1),(82,1),(86,1),(110,1),(111,1)}
        34:{1,2,5}:{(17,1),(18,1),(21,1)}
        35:{1,3,5,7}:{(17,1),(19,1),(22,1),(51,1),(55,1),(56,1),(86,1)}
        36:{2,3,5,7}:{(18,1),(19,1),(23,1),(52,1),(55,1),(57,1),(86,1)}
        37:{3,6}:{(19,1),(20,1)}
        38:{1,2,5,6}:{(20,1),(25,1),(58,1),(88,1),(89,1)}
        39:{1,2,3,6}:{(21,1),(54,1),(59,1),(78,1)}
        40:{1,2,4,7}:{(21,1),(22,1),(23,1),(55,1),(59,1)}
        41:{3,5,7}:{(24,1),(25,1),(58,1),(60,1)}
        42:{1,4,6}:{(26,1),(27,1),(31,1),(62,1),(109,1)}
        43:{2,4,6}:{(26,1),(28,1),(32,1),(63,1),(109,1)}
        44:{3,4,7}:{(26,1),(29,1),(62,1),(63,1),(93,1)}
        45:{1,2,5,6}:{(27,1),(28,1),(34,1),(61,1),(65,1),(76,1)}
        46:{1,3,5,7}:{(27,1),(29,1),(62,1),(65,1),(66,1),(93,1),(95,1),(107,1)}
        47:{2,3,5,7}:{(28,1),(29,1),(63,1),(65,1),(67,1),(93,1),(96,1),(107,1)}
        48:{3,6,7}:{(29,1),(30,1),(37,1)}
        49:{1,2,5,6,7}:{(30,1),(38,1),(68,1),(95,1),(96,1)}
        50:{1,2,4,5}:{(31,1),(32,1),(34,1),(61,1),(69,1),(74,1)}
        51:{1,4,5,7}:{(31,1),(33,1),(35,1),(62,1),(71,1),(95,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(36,1),(63,1),(72,1),(96,1)}
        53:{3,4,6}:{(33,1),(37,1),(71,1),(72,1),(73,1),(77,1),(99,1),(109,1)}
        54:{1,2,3,5}:{(34,1),(39,1),(69,1),(74,1)}
        55:{1,2,5,7}:{(34,1),(35,1),(36,1),(40,1),(76,1)}
        56:{1,3,6}:{(35,1),(37,1),(71,1),(76,1),(99,1)}
        57:{2,3,6}:{(36,1),(37,1),(72,1),(76,1),(99,1)}
        58:{3,5,6}:{(37,1),(38,1),(41,1),(77,1)}
        59:{1,2,3,7}:{(39,1),(40,1),(93,1)}
        60:{4,5,7}:{(41,1),(77,1)}
        61:{1,2,4,6}:{(42,1),(43,1),(45,1),(50,1),(78,1),(79,1)}
        62:{1,4,7}:{(42,1),(44,1),(46,1),(110,1)}
        63:{2,4,7}:{(43,1),(44,1),(47,1),(110,1)}
        64:{3,4,6,7}:{(44,1),(48,1),(53,1),(80,1),(81,1),(82,1),(84,1),(102,1),(110,1)}
        65:{1,2,5,7}:{(45,1),(46,1),(47,1),(79,1),(83,1)}
        66:{1,3,6,7}:{(46,1),(48,1),(56,1),(80,1),(83,1),(102,1)}
        67:{2,3,6,7}:{(47,1),(48,1),(57,1),(81,1),(83,1),(102,1)}
        68:{3,5,6,7}:{(48,1),(49,1),(58,1),(82,1),(84,1)}
        69:{3,5}:{(50,1),(78,1),(85,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(52,1),(55,1),(79,1),(86,1),(87,1),(91,1),(103,1),(106,1),(110,1),(111,1)}
        71:{1,4,6}:{(51,1),(53,1),(56,1),(88,1)}
        72:{2,4,6}:{(52,1),(53,1),(57,1),(89,1)}
        73:{3,5,6}:{(53,1),(82,1),(88,1),(89,1),(90,1)}
        74:{1,2,4}:{(54,1),(85,1)}
        75:{1,2,3,5,7}:{(54,1),(55,1),(59,1),(86,1),(91,1),(92,1),(106,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{4,6}:{(58,1),(60,1)}
        78:{3,6}:{(61,1),(69,1),(93,1)}
        79:{1,2,4,7}:{(61,1),(62,1),(63,1),(65,1),(93,1)}
        80:{1,4,6,7}:{(62,1),(64,1),(66,1),(71,1),(95,1)}
        81:{2,4,6,7}:{(63,1),(64,1),(67,1),(72,1),(96,1)}
        82:{3,5,7}:{(64,1),(73,1),(95,1),(96,1),(97,1)}
        83:{1,2,6,7}:{(65,1),(66,1),(67,1),(76,1)}
        84:{4,6,7}:{(68,1),(77,1),(97,1)}
        85:{3,4}:{(69,1),(74,1)}
        86:{3,5,7}:{(69,1),(70,1),(93,1),(98,1),(99,1),(108,1)}
        87:{1,2,4,6}:{(70,1),(71,1),(72,1),(76,1),(99,1),(100,1),(109,1)}
        88:{1,5,6}:{(71,1),(73,1),(95,1)}
        89:{2,5,6}:{(72,1),(73,1),(96,1)}
        90:{4,5,6}:{(73,1),(77,1),(97,1),(109,1)}
        91:{1,2,4,7}:{(74,1),(75,1),(98,1),(101,1)}
        92:{1,2,3,6}:{(75,1),(76,1),(99,1),(101,1)}
        93:{3,7}:{(78,1),(79,1)}
        94:{1,2,4,6,7}:{(79,1),(80,1),(81,1),(83,1),(87,1),(102,1),(103,1),(110,1)}
        95:{1,5,7}:{(80,1),(82,1),(88,1)}
        96:{2,5,7}:{(81,1),(82,1),(89,1)}
        97:{4,5,7}:{(82,1),(84,1),(90,1),(110,1)}
        98:{3,4,7}:{(85,1),(86,1),(91,1),(104,1),(110,1)}
        99:{3,6}:{(86,1),(87,1)}
       100:{1,2,5,6}:{(87,1),(88,1),(89,1),(103,1),(105,1),(106,1)}
       101:{1,2,4,6}:{(91,1),(92,1),(104,1),(106,1)}
       102:{3,6,7}:{(93,1),(94,1),(99,1),(107,1)}
       103:{1,2,5,7}:{(94,1),(95,1),(96,1),(100,1),(107,1)}
       104:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       105:{3,5,6}:{(99,1),(100,1),(107,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(108,1)}
       107:{3,5,7}:{(102,1),(103,1),(105,1),(110,1)}
       108:{3,5}:{(104,1),(106,1),(111,1)}
       109:{4,6}:{(105,1),(110,1),(111,1)}
       110:{4,7}:{(107,1),(109,1)}
       111:{4,5}:{(108,1),(109,1)}

 827 :   0:{1,2,3,6,7}:{(2,1),(3,1),(37,1),(71,1),(72,1),(76,1),(80,1),(104,1)}
         1:{1,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(37,1),(41,1),(45,1),(71,1),(95,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(6,1),(8,1),(22,1),(61,1),(64,1),(83,1),(88,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(23,1),(57,1),(62,1),(86,1),(87,1),(93,1)}
         4:{1,3,5,7}:{(1,1),(6,1),(9,1),(10,1),(23,1),(59,1),(63,1)}
         5:{2,3,4,6,7}:{(2,1),(11,1),(15,1),(33,1),(37,1),(42,1),(67,1),(72,1),(96,1),(104,1)}
         6:{1,2,5,7}:{(2,1),(4,1),(11,1),(12,1),(79,1),(81,1),(94,1)}
         7:{1,2,3,5,6}:{(3,1),(12,1),(14,1),(37,1),(40,1),(74,1),(75,1),(76,1),(79,1),(80,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(95,1),(96,1),(100,1)}
         9:{1,3,5,6}:{(4,1),(12,1),(17,1),(37,1),(46,1)}
        10:{1,4,5,7}:{(4,1),(17,1),(18,1),(77,1),(95,1)}
        11:{2,3,5,7}:{(5,1),(6,1),(19,1),(20,1),(23,1),(60,1),(82,1)}
        12:{1,2,5,6}:{(6,1),(9,1),(19,1),(22,1),(65,1),(84,1)}
        13:{1,2,4,5,7}:{(6,1),(8,1),(10,1),(20,1),(22,1),(23,1),(24,1),(31,1),(51,1),(57,1),(92,1),(101,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(89,1),(90,1)}
        15:{3,4,7}:{(8,1),(23,1),(25,1),(103,1)}
        16:{1,3,5,6,7}:{(9,1),(21,1),(28,1),(53,1),(63,1),(86,1)}
        17:{1,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(23,1),(30,1),(31,1),(58,1),(63,1),(85,1)}
        19:{2,3,5,6}:{(11,1),(12,1),(33,1),(37,1),(68,1)}
        20:{2,4,5,7}:{(11,1),(33,1),(34,1),(78,1),(96,1)}
        21:{1,2,5,6,7}:{(12,1),(16,1),(32,1),(35,1),(81,1),(94,1),(97,1)}
        22:{1,2,4,6}:{(12,1),(13,1),(17,1),(33,1),(37,1),(47,1),(69,1),(76,1)}
        23:{3,5,7}:{(13,1),(15,1),(37,1),(40,1),(99,1),(104,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(77,1),(78,1),(79,1)}
        25:{3,4,6}:{(14,1),(15,1),(37,1),(40,1)}
        26:{1,3,4,7}:{(15,1),(38,1),(41,1),(43,1),(95,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(39,1),(42,1),(43,1),(96,1),(104,1)}
        28:{1,4,6,7}:{(16,1),(17,1),(44,1),(45,1),(95,1)}
        29:{1,4,5,6}:{(17,1),(44,1),(46,1)}
        30:{3,4,6}:{(17,1),(18,1),(37,1),(46,1),(47,1)}
        31:{2,4,5,7}:{(18,1),(39,1),(47,1),(78,1),(81,1),(96,1)}
        32:{2,3,5,6,7}:{(19,1),(21,1),(48,1),(53,1),(82,1),(87,1)}
        33:{2,4,6}:{(19,1),(20,1),(50,1)}
        34:{3,4,5,7}:{(20,1),(23,1),(50,1),(51,1),(58,1),(82,1),(85,1)}
        35:{1,2,4,6,7}:{(21,1),(22,1),(28,1),(48,1),(52,1),(53,1),(64,1),(83,1),(88,1),(101,1)}
        36:{1,2,4,5,6}:{(22,1),(24,1),(29,1),(49,1),(52,1),(54,1),(65,1),(84,1),(89,1),(90,1),(91,1)}
        37:{3,6}:{(22,1),(23,1)}
        38:{1,3,5,7}:{(23,1),(26,1),(51,1),(55,1),(57,1),(59,1)}
        39:{2,3,5,7}:{(23,1),(27,1),(31,1),(56,1),(57,1),(60,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(55,1),(59,1),(61,1),(89,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(27,1),(56,1),(60,1),(61,1),(90,1),(102,1),(103,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(57,1),(61,1),(62,1)}
        44:{1,4,5,7}:{(28,1),(29,1),(63,1)}
        45:{3,4,6,7}:{(28,1),(30,1),(53,1),(63,1),(64,1),(85,1)}
        46:{3,5,6}:{(29,1),(30,1),(63,1),(65,1)}
        47:{2,4,6}:{(30,1),(31,1),(56,1),(65,1)}
        48:{2,4,6,7}:{(32,1),(33,1),(66,1),(67,1),(96,1)}
        49:{2,4,5,6}:{(33,1),(66,1),(68,1)}
        50:{3,4,6}:{(33,1),(34,1),(37,1),(68,1),(69,1)}
        51:{1,4,5,7}:{(34,1),(38,1),(69,1),(77,1),(94,1),(95,1)}
        52:{1,2,4,5,7}:{(35,1),(36,1),(44,1),(66,1),(70,1),(81,1),(94,1),(95,1),(96,1),(97,1)}
        53:{3,6,7}:{(35,1),(37,1),(70,1),(104,1)}
        54:{3,5,6}:{(36,1),(37,1),(40,1),(70,1),(73,1)}
        55:{1,3,6}:{(37,1),(38,1),(69,1),(76,1)}
        56:{2,3,6}:{(37,1),(39,1),(47,1),(76,1)}
        57:{1,2,5,7}:{(38,1),(39,1),(43,1),(76,1),(79,1)}
        58:{3,4,5}:{(40,1),(73,1),(77,1),(78,1),(99,1)}
        59:{1,3,5}:{(40,1),(41,1),(77,1),(79,1),(99,1)}
        60:{2,3,5}:{(40,1),(42,1),(78,1),(79,1),(99,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(43,1),(76,1),(79,1),(80,1),(100,1)}
        62:{1,2,3,7}:{(43,1),(80,1),(104,1)}
        63:{3,5,7}:{(44,1),(45,1),(46,1),(81,1)}
        64:{2,4,6,7}:{(45,1),(47,1),(72,1),(81,1),(96,1)}
        65:{2,5,6}:{(46,1),(47,1),(81,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(82,1)}
        67:{3,4,6,7}:{(48,1),(50,1),(53,1),(82,1),(83,1),(85,1)}
        68:{3,5,6}:{(49,1),(50,1),(82,1),(84,1)}
        69:{1,4,6}:{(50,1),(51,1),(55,1),(84,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{1,3,6,7}:{(53,1),(55,1),(83,1),(86,1),(88,1)}
        72:{2,3,6,7}:{(53,1),(56,1),(64,1),(87,1),(88,1)}
        73:{3,4,6}:{(54,1),(58,1),(85,1),(89,1),(90,1),(102,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(59,1),(84,1),(86,1),(89,1),(91,1),(102,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(60,1),(65,1),(87,1),(90,1),(91,1),(102,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{1,4,5}:{(58,1),(59,1),(89,1)}
        78:{2,4,5}:{(58,1),(60,1),(90,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(62,1),(93,1),(102,1)}
        81:{2,5,7}:{(63,1),(64,1),(65,1)}
        82:{3,5,7}:{(66,1),(67,1),(68,1),(94,1)}
        83:{1,4,6,7}:{(67,1),(69,1),(71,1),(94,1),(95,1)}
        84:{1,5,6}:{(68,1),(69,1),(94,1)}
        85:{3,4,7}:{(70,1),(73,1),(95,1),(96,1),(104,1)}
        86:{1,3,5,7}:{(70,1),(71,1),(74,1),(94,1),(95,1),(97,1),(104,1)}
        87:{2,3,5,7}:{(70,1),(72,1),(75,1),(81,1),(96,1),(97,1),(104,1)}
        88:{1,2,6,7}:{(71,1),(72,1),(76,1),(97,1)}
        89:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        90:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        91:{1,2,5,6}:{(74,1),(75,1),(76,1),(79,1),(97,1),(98,1)}
        92:{1,2,4,5}:{(77,1),(78,1),(79,1),(98,1),(99,1),(100,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(99,1),(100,1)}
        94:{1,5,7}:{(82,1),(83,1),(84,1)}
        95:{1,4,7}:{(85,1),(86,1),(89,1)}
        96:{2,4,7}:{(85,1),(87,1),(90,1)}
        97:{1,2,5,7}:{(86,1),(87,1),(88,1),(91,1),(101,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(92,1),(101,1),(102,1)}
        99:{3,5}:{(92,1),(102,1),(103,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       102:{3,6}:{(98,1),(99,1),(104,1)}
       103:{3,4}:{(99,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

 828 :   0:{1,3,4,6}:{(3,1),(4,1),(5,1),(7,1),(31,1),(34,1),(64,1),(76,1),(115,1)}
         1:{1,3,5,6}:{(4,1),(6,1),(7,1),(8,1),(9,1),(31,1),(34,1),(73,1),(120,1)}
         2:{1,4,5,6}:{(7,1),(9,1),(10,1),(73,1),(122,1)}
         3:{1,2,4,6}:{(0,1),(11,1),(12,1),(13,1),(43,1),(47,1),(91,1)}
         4:{1,3,5}:{(0,1),(12,1),(14,1),(45,1),(99,1),(138,1)}
         5:{1,3,4,7}:{(0,1),(13,1),(15,1),(20,1),(57,1),(90,1),(102,1),(205,1)}
         6:{1,2,5,6}:{(1,1),(12,1),(16,1),(17,1),(18,1),(22,1),(47,1),(99,1),(144,1)}
         7:{1,4,6}:{(1,1),(14,1),(19,1),(20,1),(142,1)}
         8:{1,3,5,7}:{(1,1),(18,1),(20,1),(21,1),(23,1),(57,1),(61,1),(108,1)}
         9:{3,5,6}:{(2,1),(19,1),(22,1),(23,1)}
        10:{1,4,5,7}:{(2,1),(20,1),(23,1),(24,1),(61,1),(110,1)}
        11:{2,3,6}:{(3,1),(25,1),(26,1),(34,1)}
        12:{1,2,5}:{(3,1),(4,1),(25,1),(116,1)}
        13:{1,2,4,7}:{(3,1),(5,1),(26,1),(28,1),(65,1),(208,1)}
        14:{1,4,5}:{(4,1),(7,1),(29,1),(157,1)}
        15:{1,3,5,7}:{(4,1),(5,1),(28,1),(30,1),(31,1),(69,1),(123,1),(191,1),(202,1)}
        16:{2,3,5,6}:{(6,1),(25,1),(32,1),(33,1),(34,1),(66,1),(74,1),(116,1),(120,1),(124,1),(125,1)}
        17:{1,2,4,6}:{(6,1),(7,1),(27,1),(32,1),(34,1),(35,1),(37,1),(76,1),(79,1)}
        18:{1,2,5,7}:{(6,1),(8,1),(33,1),(35,1),(36,1),(40,1),(123,1)}
        19:{3,4,6}:{(7,1),(9,1),(29,1),(34,1),(37,1),(38,1)}
        20:{1,4,7}:{(7,1),(8,1),(38,1),(131,1)}
        21:{1,3,6,7}:{(8,1),(31,1),(36,1),(39,1),(41,1),(82,1),(191,1)}
        22:{2,5,6}:{(9,1),(37,1),(40,1)}
        23:{3,5,7}:{(9,1),(10,1),(38,1),(40,1),(41,1)}
        24:{1,4,6,7}:{(10,1),(41,1),(42,1),(87,1)}
        25:{2,3,5}:{(11,1),(12,1),(43,1),(45,1)}
        26:{2,3,7}:{(11,1),(13,1),(57,1),(209,1)}
        27:{1,2,4,5}:{(12,1),(14,1),(17,1),(43,1),(45,1),(48,1),(51,1),(88,1),(92,1),(99,1)}
        28:{1,2,5,7}:{(12,1),(13,1),(15,1),(44,1),(47,1),(200,1),(207,1)}
        29:{3,4,5}:{(14,1),(19,1),(45,1),(48,1)}
        30:{1,4,5,7}:{(14,1),(15,1),(20,1),(49,1),(50,1),(61,1),(181,1),(196,1)}
        31:{1,3,6}:{(15,1),(47,1),(50,1),(95,1),(144,1)}
        32:{2,4,6}:{(16,1),(43,1),(51,1),(52,1),(53,1),(142,1)}
        33:{2,3,5,7}:{(16,1),(18,1),(53,1),(54,1),(57,1),(100,1),(104,1),(108,1)}
        34:{3,6}:{(17,1),(45,1),(57,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(20,1),(53,1),(57,1),(59,1),(102,1),(105,1)}
        36:{1,2,6,7}:{(18,1),(21,1),(47,1),(54,1),(62,1),(144,1),(200,1)}
        37:{2,4,6}:{(19,1),(22,1),(48,1),(56,1),(59,1)}
        38:{3,4,7}:{(19,1),(20,1),(23,1),(57,1),(59,1)}
        39:{1,4,6,7}:{(20,1),(21,1),(50,1),(60,1),(61,1),(152,1),(181,1)}
        40:{2,5,7}:{(22,1),(23,1),(59,1),(62,1)}
        41:{3,6,7}:{(23,1),(24,1),(62,1)}
        42:{1,5,6,7}:{(24,1),(61,1),(63,1),(152,1)}
        43:{2,4}:{(25,1),(64,1)}
        44:{2,3,5,7}:{(25,1),(26,1),(28,1),(65,1),(66,1),(69,1),(116,1),(190,1),(192,1),(203,1)}
        45:{3,5}:{(27,1),(34,1),(64,1)}
        46:{1,2,4,5,7}:{(27,1),(28,1),(30,1),(35,1),(65,1),(69,1),(70,1),(71,1),(75,1),(83,1),(113,1),(116,1),(117,1),(123,1),(131,1),(155,1),(157,1),(164,1),(165,1),(183,1),(190,1)}
        47:{1,2,6}:{(28,1),(31,1),(66,1)}
        48:{2,4,5}:{(29,1),(37,1),(68,1)}
        49:{3,4,5,7}:{(29,1),(30,1),(38,1),(69,1),(71,1),(72,1),(85,1),(131,1),(157,1),(167,1),(185,1)}
        50:{1,4,6}:{(30,1),(31,1),(72,1),(73,1)}
        51:{2,4,5}:{(32,1),(74,1),(116,1),(157,1)}
        52:{3,4,6}:{(32,1),(34,1),(64,1),(74,1),(76,1),(77,1),(124,1)}
        53:{2,4,7}:{(32,1),(33,1),(77,1),(131,1)}
        54:{2,3,6,7}:{(33,1),(36,1),(66,1),(78,1),(82,1),(124,1),(192,1)}
        55:{1,3,6}:{(34,1),(67,1),(76,1),(79,1),(80,1)}
        56:{2,3,6}:{(34,1),(37,1),(68,1),(79,1),(81,1)}
        57:{3,7}:{(34,1),(35,1)}
        58:{1,2,4,6,7}:{(35,1),(36,1),(39,1),(70,1),(78,1),(82,1),(83,1),(84,1),(126,1),(128,1),(131,1),(165,1)}
        59:{2,4,7}:{(37,1),(38,1),(40,1),(81,1)}
        60:{3,4,6,7}:{(38,1),(39,1),(41,1),(72,1),(82,1),(84,1),(85,1),(87,1),(131,1),(133,1),(167,1)}
        61:{1,5,7}:{(39,1),(73,1),(85,1)}
        62:{2,6,7}:{(40,1),(41,1)}
        63:{3,5,6,7}:{(41,1),(42,1),(85,1),(86,1),(87,1),(133,1)}
        64:{3,4}:{(43,1),(45,1),(88,1)}
        65:{2,4,7}:{(43,1),(44,1),(90,1),(91,1),(206,1)}
        66:{2,3,6}:{(44,1),(47,1),(91,1),(95,1),(199,1)}
        67:{1,3,5}:{(45,1),(55,1),(88,1),(92,1),(99,1),(134,1)}
        68:{2,3,5}:{(45,1),(48,1),(56,1),(89,1),(92,1)}
        69:{3,5,7}:{(45,1),(46,1),(57,1),(90,1),(95,1),(138,1),(179,1),(194,1)}
        70:{1,2,4,6}:{(46,1),(47,1),(50,1),(91,1),(95,1),(96,1),(97,1),(101,1),(136,1),(139,1),(142,1),(144,1),(177,1),(199,1)}
        71:{2,4,5,7}:{(48,1),(49,1),(59,1),(94,1),(97,1),(109,1),(150,1),(172,1)}
        72:{3,4,6}:{(49,1),(50,1),(95,1),(97,1),(98,1),(142,1)}
        73:{1,5,6}:{(50,1),(61,1),(98,1)}
        74:{3,5}:{(51,1),(52,1),(99,1)}
        75:{2,4,5,7}:{(51,1),(53,1),(100,1),(101,1),(104,1),(147,1)}
        76:{1,4,6}:{(52,1),(55,1),(88,1),(99,1),(102,1),(144,1)}
        77:{3,4,7}:{(52,1),(53,1),(57,1),(100,1),(102,1)}
        78:{2,4,6,7}:{(53,1),(54,1),(91,1),(101,1),(103,1),(104,1),(180,1),(199,1)}
        79:{1,2,6}:{(55,1),(56,1),(92,1),(105,1)}
        80:{1,3,7}:{(55,1),(57,1),(102,1),(105,1)}
        81:{2,3,7}:{(56,1),(57,1),(59,1),(105,1)}
        82:{3,6,7}:{(57,1),(58,1),(95,1),(108,1),(179,1)}
        83:{1,2,5,7}:{(58,1),(61,1),(96,1),(104,1),(108,1),(109,1),(146,1)}
        84:{2,4,6,7}:{(59,1),(60,1),(62,1),(97,1),(107,1),(109,1),(150,1)}
        85:{3,5,7}:{(60,1),(61,1),(98,1),(109,1),(110,1)}
        86:{2,5,6,7}:{(62,1),(63,1),(109,1),(111,1)}
        87:{4,6,7}:{(63,1),(110,1)}
        88:{1,4}:{(64,1),(67,1)}
        89:{2,3,4}:{(64,1),(68,1),(112,1)}
        90:{3,4,7}:{(64,1),(65,1),(69,1),(113,1),(115,1),(131,1),(201,1)}
        91:{2,4,6}:{(65,1),(66,1),(115,1),(116,1)}
        92:{1,2,5}:{(67,1),(68,1),(79,1),(112,1)}
        93:{1,3,5,7}:{(67,1),(69,1),(80,1),(113,1),(117,1),(118,1),(123,1),(153,1),(155,1),(182,1)}
        94:{2,3,5,7}:{(68,1),(69,1),(71,1),(81,1),(114,1),(117,1),(119,1),(156,1),(190,1)}
        95:{3,6}:{(69,1),(70,1)}
        96:{1,2,5,6}:{(70,1),(73,1),(83,1),(116,1),(120,1),(121,1),(125,1),(155,1),(162,1)}
        97:{2,4,6}:{(71,1),(72,1),(119,1),(121,1)}
        98:{3,5,6}:{(72,1),(73,1),(85,1),(121,1),(122,1)}
        99:{1,5}:{(74,1),(76,1)}
       100:{3,5,7}:{(74,1),(75,1),(77,1),(123,1),(124,1)}
       101:{2,4,6}:{(75,1),(124,1),(125,1),(163,1)}
       102:{1,4,7}:{(76,1),(77,1),(80,1),(123,1)}
       103:{3,4,6,7}:{(77,1),(78,1),(82,1),(115,1),(124,1),(126,1),(127,1),(131,1),(163,1),(166,1),(189,1)}
       104:{2,5,7}:{(78,1),(116,1),(125,1),(127,1)}
       105:{1,2,7}:{(79,1),(80,1),(81,1)}
       106:{1,3,6,7}:{(80,1),(82,1),(118,1),(126,1),(128,1),(129,1),(189,1)}
       107:{2,3,6,7}:{(81,1),(82,1),(84,1),(119,1),(128,1),(130,1),(133,1)}
       108:{3,5,7}:{(82,1),(83,1),(120,1),(131,1)}
       109:{2,5,7}:{(84,1),(85,1),(121,1)}
       110:{4,5,7}:{(85,1),(87,1),(122,1),(131,1)}
       111:{2,4,6,7}:{(86,1),(87,1),(132,1),(133,1)}
       112:{1,2,4}:{(88,1),(89,1),(92,1),(134,1)}
       113:{1,4,7}:{(88,1),(90,1),(93,1),(136,1),(193,1)}
       114:{2,3,4,7}:{(89,1),(90,1),(94,1),(135,1),(137,1),(150,1),(179,1),(180,1)}
       115:{3,4,6}:{(90,1),(91,1),(95,1),(136,1),(138,1),(142,1)}
       116:{2,5}:{(91,1),(138,1)}
       117:{1,2,5,7}:{(92,1),(93,1),(94,1),(105,1),(135,1),(139,1),(170,1)}
       118:{1,3,6}:{(93,1),(95,1),(136,1),(139,1),(144,1)}
       119:{2,3,6}:{(94,1),(95,1),(97,1),(139,1),(199,1)}
       120:{3,5,6}:{(95,1),(96,1),(108,1),(138,1),(142,1)}
       121:{2,5,6}:{(97,1),(98,1),(109,1)}
       122:{4,5,6}:{(98,1),(110,1),(142,1)}
       123:{1,5,7}:{(99,1),(100,1),(102,1),(144,1)}
       124:{3,6}:{(100,1),(101,1),(144,1)}
       125:{2,5,6}:{(101,1),(104,1),(145,1),(199,1)}
       126:{1,4,6,7}:{(102,1),(103,1),(106,1),(136,1),(144,1),(146,1),(149,1),(177,1)}
       127:{3,5,7}:{(103,1),(104,1),(138,1),(145,1),(146,1),(147,1)}
       128:{1,2,6,7}:{(105,1),(106,1),(107,1),(139,1),(148,1),(152,1),(199,1)}
       129:{1,3,5,7}:{(106,1),(108,1),(140,1),(146,1),(148,1),(149,1),(178,1),(179,1)}
       130:{2,3,5,7}:{(107,1),(108,1),(109,1),(141,1),(148,1),(150,1),(151,1),(179,1)}
       131:{4,7}:{(108,1),(142,1)}
       132:{2,4,5,7}:{(109,1),(110,1),(111,1),(143,1),(150,1),(151,1)}
       133:{3,6,7}:{(111,1),(151,1),(152,1)}
       134:{1,3}:{(112,1)}
       135:{1,2,4,7}:{(112,1),(113,1),(114,1),(117,1),(153,1),(154,1)}
       136:{1,4,6}:{(113,1),(115,1),(118,1),(155,1)}
       137:{2,3,4,6}:{(114,1),(115,1),(119,1),(154,1),(156,1),(160,1),(186,1),(187,1),(201,1)}
       138:{3,5}:{(115,1),(116,1),(155,1),(157,1)}
       139:{1,2,6}:{(117,1),(118,1),(119,1)}
       140:{1,3,5,6}:{(118,1),(120,1),(129,1),(155,1),(158,1),(159,1),(162,1),(182,1),(184,1),(186,1),(189,1)}
       141:{2,3,5,6}:{(119,1),(120,1),(121,1),(130,1),(156,1),(158,1),(160,1),(161,1),(186,1)}
       142:{4,6}:{(120,1),(131,1),(157,1)}
       143:{2,4,5,6}:{(121,1),(122,1),(132,1),(160,1),(161,1)}
       144:{1,6}:{(123,1),(124,1)}
       145:{3,5,6}:{(124,1),(125,1),(127,1),(162,1),(163,1),(189,1)}
       146:{1,5,7}:{(126,1),(127,1),(155,1),(162,1)}
       147:{4,5,7}:{(127,1),(131,1),(157,1),(163,1)}
       148:{1,2,5,7}:{(128,1),(129,1),(130,1),(158,1),(165,1),(168,1),(190,1)}
       149:{1,4,7}:{(129,1),(131,1),(159,1),(166,1)}
       150:{2,4,7}:{(130,1),(131,1),(160,1),(167,1)}
       151:{3,5,7}:{(132,1),(133,1),(161,1),(167,1),(168,1)}
       152:{1,6,7}:{(133,1),(168,1)}
       153:{1,3,7}:{(134,1),(135,1),(169,1),(179,1)}
       154:{1,2,4,6}:{(135,1),(136,1),(137,1),(139,1),(169,1),(170,1),(193,1)}
       155:{1,5}:{(136,1),(138,1)}
       156:{2,3,5}:{(137,1),(138,1),(170,1),(172,1),(194,1),(195,1)}
       157:{4,5}:{(138,1),(142,1)}
       158:{1,2,5,6}:{(139,1),(140,1),(141,1),(148,1),(170,1),(173,1),(176,1),(195,1),(199,1)}
       159:{1,4,6}:{(140,1),(142,1),(149,1),(171,1),(174,1),(193,1)}
       160:{2,4,6}:{(141,1),(142,1),(150,1),(172,1),(175,1)}
       161:{3,5,6}:{(143,1),(151,1),(175,1),(176,1)}
       162:{1,5,6}:{(144,1),(145,1),(146,1),(177,1)}
       163:{4,6}:{(145,1),(147,1)}
       164:{1,4,5,7}:{(146,1),(147,1),(149,1),(171,1),(177,1),(178,1)}
       165:{1,2,4,7}:{(148,1),(149,1),(150,1),(173,1),(179,1),(180,1),(181,1),(200,1)}
       166:{3,4,7}:{(149,1),(174,1),(178,1),(179,1),(180,1)}
       167:{3,4,7}:{(150,1),(151,1),(175,1),(179,1),(181,1)}
       168:{1,5,7}:{(151,1),(152,1),(176,1),(181,1)}
       169:{1,3,6}:{(153,1),(154,1),(182,1),(186,1)}
       170:{1,2,5}:{(154,1),(155,1),(156,1),(182,1)}
       171:{1,4,5}:{(155,1),(157,1),(159,1),(184,1)}
       172:{2,4,5}:{(156,1),(157,1),(160,1),(185,1)}
       173:{1,2,4,6}:{(158,1),(159,1),(160,1),(165,1),(183,1),(186,1),(187,1),(188,1),(204,1)}
       174:{3,4,6}:{(159,1),(166,1),(184,1),(186,1),(187,1),(189,1),(201,1)}
       175:{3,4,6}:{(160,1),(161,1),(167,1),(185,1),(186,1),(188,1)}
       176:{1,5,6}:{(161,1),(168,1),(188,1)}
       177:{1,4,6}:{(162,1),(163,1),(164,1),(189,1)}
       178:{3,5,7}:{(164,1),(166,1),(184,1),(189,1),(190,1)}
       179:{3,7}:{(165,1),(186,1)}
       180:{2,4,7}:{(166,1),(187,1),(190,1),(192,1)}
       181:{1,4,7}:{(167,1),(168,1),(188,1),(191,1)}
       182:{1,3,5}:{(169,1),(170,1),(193,1),(194,1)}
       183:{1,2,4,5}:{(170,1),(171,1),(172,1),(173,1),(193,1),(194,1),(195,1),(196,1),(206,1),(207,1)}
       184:{3,5}:{(171,1),(174,1),(195,1)}
       185:{3,4,5}:{(172,1),(175,1),(194,1),(196,1)}
       186:{3,6}:{(173,1),(179,1),(194,1)}
       187:{2,4,6}:{(174,1),(180,1),(195,1),(198,1),(199,1),(206,1)}
       188:{1,4,6}:{(175,1),(176,1),(181,1),(196,1),(197,1)}
       189:{3,6}:{(177,1),(178,1),(199,1)}
       190:{2,5,7}:{(178,1),(180,1),(195,1),(199,1)}
       191:{1,3,7}:{(179,1),(181,1),(197,1),(200,1)}
       192:{2,3,7}:{(179,1),(180,1),(198,1),(200,1)}
       193:{1,4}:{(182,1),(201,1)}
       194:{3,5}:{(183,1),(186,1),(201,1)}
       195:{2,5}:{(184,1),(187,1)}
       196:{1,4,5}:{(185,1),(188,1),(202,1)}
       197:{1,3,6}:{(186,1),(188,1),(191,1),(202,1),(204,1)}
       198:{2,3,6}:{(186,1),(187,1),(192,1),(203,1),(204,1)}
       199:{2,6}:{(189,1),(190,1)}
       200:{1,2,7}:{(191,1),(192,1),(204,1)}
       201:{3,4}:{(193,1),(194,1),(206,1)}
       202:{1,3,5}:{(194,1),(196,1),(197,1),(205,1),(207,1)}
       203:{2,3,5}:{(194,1),(195,1),(198,1),(206,1),(207,1),(209,1)}
       204:{1,2,6}:{(197,1),(198,1),(200,1),(207,1)}
       205:{1,3,4}:{(201,1),(202,1),(208,1)}
       206:{2,4}:{(201,1),(203,1)}
       207:{1,2,5}:{(202,1),(203,1),(204,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{2,3}:{(208,1)}

 829 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(22,1),(42,1),(51,1),(87,1),(102,1)}
         1:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(32,1),(36,1),(77,1)}
         2:{2,3,5}:{(0,1),(7,1),(9,1),(34,1),(110,1),(127,1)}
         3:{2,3,4,7}:{(0,1),(8,1),(10,1),(27,1),(67,1),(76,1),(113,1),(206,1)}
         4:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(14,1),(22,1),(42,1),(60,1),(107,1)}
         5:{2,4,5,6}:{(12,1),(14,1),(15,1),(60,1),(109,1)}
         6:{1,3,6}:{(1,1),(16,1),(17,1),(42,1)}
         7:{1,2,5}:{(1,1),(2,1),(16,1),(103,1)}
         8:{1,2,4,7}:{(1,1),(3,1),(17,1),(19,1),(52,1),(208,1)}
         9:{2,4,5}:{(2,1),(12,1),(20,1),(148,1)}
        10:{2,3,5,7}:{(2,1),(3,1),(19,1),(21,1),(22,1),(56,1),(133,1),(198,1),(201,1)}
        11:{1,2,5,6}:{(4,1),(7,1),(23,1),(24,1),(25,1),(29,1),(36,1),(110,1),(153,1)}
        12:{2,4,6}:{(4,1),(9,1),(26,1),(27,1),(131,1)}
        13:{2,3,5,7}:{(4,1),(25,1),(27,1),(28,1),(30,1),(67,1),(71,1),(119,1)}
        14:{3,5,6}:{(5,1),(26,1),(29,1),(30,1)}
        15:{2,4,5,7}:{(5,1),(27,1),(30,1),(31,1),(71,1),(121,1)}
        16:{1,3,5}:{(6,1),(7,1),(32,1),(34,1)}
        17:{1,3,7}:{(6,1),(8,1),(67,1),(209,1)}
        18:{1,2,4,5}:{(7,1),(9,1),(24,1),(32,1),(34,1),(37,1),(61,1),(75,1),(78,1),(110,1)}
        19:{1,2,5,7}:{(7,1),(8,1),(10,1),(33,1),(36,1),(204,1),(207,1)}
        20:{3,4,5}:{(9,1),(26,1),(34,1),(37,1)}
        21:{2,4,5,7}:{(9,1),(10,1),(27,1),(38,1),(39,1),(71,1),(187,1),(191,1)}
        22:{2,3,6}:{(10,1),(36,1),(39,1),(81,1),(153,1)}
        23:{1,3,5,6}:{(11,1),(16,1),(40,1),(41,1),(42,1),(53,1),(85,1),(103,1),(107,1),(134,1),(135,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(18,1),(40,1),(42,1),(43,1),(45,1),(87,1),(90,1)}
        25:{1,2,5,7}:{(11,1),(13,1),(41,1),(43,1),(44,1),(48,1),(133,1)}
        26:{3,4,6}:{(12,1),(14,1),(20,1),(42,1),(45,1),(46,1)}
        27:{2,4,7}:{(12,1),(13,1),(46,1),(141,1)}
        28:{2,3,6,7}:{(13,1),(22,1),(44,1),(47,1),(49,1),(93,1),(198,1)}
        29:{1,5,6}:{(14,1),(45,1),(48,1)}
        30:{3,5,7}:{(14,1),(15,1),(46,1),(48,1),(49,1)}
        31:{2,4,6,7}:{(15,1),(49,1),(50,1),(98,1)}
        32:{1,4}:{(16,1),(51,1)}
        33:{1,3,5,7}:{(16,1),(17,1),(19,1),(52,1),(53,1),(56,1),(103,1),(196,1),(197,1),(200,1)}
        34:{3,5}:{(18,1),(42,1),(51,1)}
        35:{1,2,4,5,7}:{(18,1),(19,1),(21,1),(43,1),(52,1),(56,1),(57,1),(58,1),(86,1),(94,1),(101,1),(103,1),(104,1),(133,1),(141,1),(147,1),(148,1),(172,1),(173,1),(178,1),(196,1)}
        36:{1,2,6}:{(19,1),(22,1),(53,1)}
        37:{1,4,5}:{(20,1),(45,1),(54,1)}
        38:{3,4,5,7}:{(20,1),(21,1),(46,1),(56,1),(58,1),(59,1),(96,1),(141,1),(148,1),(174,1),(179,1)}
        39:{2,4,6}:{(21,1),(22,1),(59,1),(60,1)}
        40:{1,4,6}:{(23,1),(32,1),(61,1),(62,1),(63,1),(131,1)}
        41:{1,3,5,7}:{(23,1),(25,1),(63,1),(64,1),(67,1),(111,1),(115,1),(119,1)}
        42:{3,6}:{(24,1),(34,1),(67,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(27,1),(63,1),(67,1),(69,1),(113,1),(116,1)}
        44:{1,2,6,7}:{(25,1),(28,1),(36,1),(64,1),(72,1),(153,1),(204,1)}
        45:{1,4,6}:{(26,1),(29,1),(37,1),(65,1),(69,1)}
        46:{3,4,7}:{(26,1),(27,1),(30,1),(67,1),(69,1)}
        47:{2,4,6,7}:{(27,1),(28,1),(39,1),(70,1),(71,1),(161,1),(187,1)}
        48:{1,5,7}:{(29,1),(30,1),(69,1),(72,1)}
        49:{3,6,7}:{(30,1),(31,1),(72,1)}
        50:{2,5,6,7}:{(31,1),(71,1),(73,1),(161,1)}
        51:{3,4}:{(32,1),(34,1),(75,1)}
        52:{1,4,7}:{(32,1),(33,1),(76,1),(77,1),(205,1)}
        53:{1,3,6}:{(33,1),(36,1),(77,1),(81,1),(203,1)}
        54:{1,3,5}:{(34,1),(37,1),(65,1),(74,1),(78,1)}
        55:{2,3,5}:{(34,1),(66,1),(75,1),(78,1),(110,1),(123,1)}
        56:{3,5,7}:{(34,1),(35,1),(67,1),(76,1),(81,1),(127,1),(186,1),(190,1)}
        57:{1,2,4,6}:{(35,1),(36,1),(39,1),(77,1),(81,1),(82,1),(83,1),(112,1),(126,1),(128,1),(131,1),(153,1),(184,1),(203,1)}
        58:{1,4,5,7}:{(37,1),(38,1),(69,1),(79,1),(83,1),(120,1),(158,1),(164,1)}
        59:{3,4,6}:{(38,1),(39,1),(81,1),(83,1),(84,1),(131,1)}
        60:{2,5,6}:{(39,1),(71,1),(84,1)}
        61:{1,4,5}:{(40,1),(85,1),(103,1),(148,1)}
        62:{3,4,6}:{(40,1),(42,1),(51,1),(85,1),(87,1),(88,1),(134,1)}
        63:{1,4,7}:{(40,1),(41,1),(88,1),(141,1)}
        64:{1,3,6,7}:{(41,1),(44,1),(53,1),(89,1),(93,1),(134,1),(197,1)}
        65:{1,3,6}:{(42,1),(45,1),(54,1),(90,1),(91,1)}
        66:{2,3,6}:{(42,1),(55,1),(87,1),(90,1),(92,1)}
        67:{3,7}:{(42,1),(43,1)}
        68:{1,2,4,6,7}:{(43,1),(44,1),(47,1),(57,1),(89,1),(93,1),(94,1),(95,1),(136,1),(138,1),(141,1),(173,1)}
        69:{1,4,7}:{(45,1),(46,1),(48,1),(91,1)}
        70:{3,4,6,7}:{(46,1),(47,1),(49,1),(59,1),(93,1),(95,1),(96,1),(98,1),(141,1),(143,1),(174,1)}
        71:{2,5,7}:{(47,1),(60,1),(96,1)}
        72:{1,6,7}:{(48,1),(49,1)}
        73:{3,5,6,7}:{(49,1),(50,1),(96,1),(97,1),(98,1),(143,1)}
        74:{1,3,4}:{(51,1),(54,1),(99,1)}
        75:{2,4}:{(51,1),(55,1)}
        76:{3,4,7}:{(51,1),(52,1),(56,1),(101,1),(102,1),(141,1),(199,1)}
        77:{1,4,6}:{(52,1),(53,1),(102,1),(103,1)}
        78:{1,2,5}:{(54,1),(55,1),(90,1),(99,1)}
        79:{1,3,5,7}:{(54,1),(56,1),(58,1),(91,1),(100,1),(104,1),(105,1),(146,1),(196,1)}
        80:{2,3,5,7}:{(55,1),(56,1),(92,1),(101,1),(104,1),(106,1),(133,1),(144,1),(147,1),(177,1)}
        81:{3,6}:{(56,1),(57,1)}
        82:{1,2,5,6}:{(57,1),(60,1),(94,1),(103,1),(107,1),(108,1),(135,1),(147,1),(170,1)}
        83:{1,4,6}:{(58,1),(59,1),(105,1),(108,1)}
        84:{3,5,6}:{(59,1),(60,1),(96,1),(108,1),(109,1)}
        85:{3,5}:{(61,1),(62,1),(110,1)}
        86:{1,4,5,7}:{(61,1),(63,1),(111,1),(112,1),(115,1),(156,1)}
        87:{2,4,6}:{(62,1),(66,1),(75,1),(110,1),(113,1),(153,1)}
        88:{3,4,7}:{(62,1),(63,1),(67,1),(111,1),(113,1)}
        89:{1,4,6,7}:{(63,1),(64,1),(77,1),(112,1),(114,1),(115,1),(188,1),(203,1)}
        90:{1,2,6}:{(65,1),(66,1),(78,1),(116,1)}
        91:{1,3,7}:{(65,1),(67,1),(69,1),(116,1)}
        92:{2,3,7}:{(66,1),(67,1),(113,1),(116,1)}
        93:{3,6,7}:{(67,1),(68,1),(81,1),(119,1),(186,1)}
        94:{1,2,5,7}:{(68,1),(71,1),(82,1),(115,1),(119,1),(120,1),(155,1)}
        95:{1,4,6,7}:{(69,1),(70,1),(72,1),(83,1),(117,1),(120,1),(158,1)}
        96:{3,5,7}:{(70,1),(71,1),(84,1),(120,1),(121,1)}
        97:{1,5,6,7}:{(72,1),(73,1),(120,1),(122,1)}
        98:{4,6,7}:{(73,1),(121,1)}
        99:{1,2,4}:{(74,1),(75,1),(78,1),(123,1)}
       100:{1,3,4,7}:{(74,1),(76,1),(79,1),(124,1),(125,1),(158,1),(186,1),(188,1)}
       101:{2,4,7}:{(75,1),(76,1),(80,1),(126,1),(189,1)}
       102:{3,4,6}:{(76,1),(77,1),(81,1),(126,1),(127,1),(131,1)}
       103:{1,5}:{(77,1),(127,1)}
       104:{1,2,5,7}:{(78,1),(79,1),(80,1),(116,1),(124,1),(128,1),(163,1)}
       105:{1,3,6}:{(79,1),(81,1),(83,1),(128,1),(203,1)}
       106:{2,3,6}:{(80,1),(81,1),(126,1),(128,1),(153,1)}
       107:{3,5,6}:{(81,1),(82,1),(119,1),(127,1),(131,1)}
       108:{1,5,6}:{(83,1),(84,1),(120,1)}
       109:{4,5,6}:{(84,1),(121,1),(131,1)}
       110:{2,5}:{(85,1),(87,1)}
       111:{3,5,7}:{(85,1),(86,1),(88,1),(133,1),(134,1)}
       112:{1,4,6}:{(86,1),(134,1),(135,1),(171,1)}
       113:{2,4,7}:{(87,1),(88,1),(92,1),(133,1)}
       114:{3,4,6,7}:{(88,1),(89,1),(93,1),(102,1),(134,1),(136,1),(137,1),(141,1),(171,1),(175,1),(195,1)}
       115:{1,5,7}:{(89,1),(103,1),(135,1),(137,1)}
       116:{1,2,7}:{(90,1),(91,1),(92,1)}
       117:{1,3,6,7}:{(91,1),(93,1),(95,1),(105,1),(138,1),(139,1),(143,1)}
       118:{2,3,6,7}:{(92,1),(93,1),(106,1),(136,1),(138,1),(140,1),(195,1)}
       119:{3,5,7}:{(93,1),(94,1),(107,1),(141,1)}
       120:{1,5,7}:{(95,1),(96,1),(108,1)}
       121:{4,5,7}:{(96,1),(98,1),(109,1),(141,1)}
       122:{1,4,6,7}:{(97,1),(98,1),(142,1),(143,1)}
       123:{2,3}:{(99,1)}
       124:{1,2,4,7}:{(99,1),(100,1),(101,1),(104,1),(144,1),(145,1)}
       125:{1,3,4,6}:{(100,1),(102,1),(105,1),(145,1),(146,1),(150,1),(181,1),(183,1),(199,1)}
       126:{2,4,6}:{(101,1),(102,1),(106,1),(147,1)}
       127:{3,5}:{(102,1),(103,1),(147,1),(148,1)}
       128:{1,2,6}:{(104,1),(105,1),(106,1)}
       129:{1,3,5,6}:{(105,1),(107,1),(108,1),(139,1),(146,1),(149,1),(150,1),(152,1),(181,1)}
       130:{2,3,5,6}:{(106,1),(107,1),(140,1),(147,1),(149,1),(151,1),(170,1),(177,1),(180,1),(181,1),(195,1)}
       131:{4,6}:{(107,1),(141,1),(148,1)}
       132:{1,4,5,6}:{(108,1),(109,1),(142,1),(150,1),(152,1)}
       133:{2,5,7}:{(110,1),(111,1),(113,1),(153,1)}
       134:{3,6}:{(111,1),(112,1),(153,1)}
       135:{1,5,6}:{(112,1),(115,1),(154,1),(203,1)}
       136:{2,4,6,7}:{(113,1),(114,1),(118,1),(126,1),(153,1),(155,1),(159,1),(184,1)}
       137:{3,5,7}:{(114,1),(115,1),(127,1),(154,1),(155,1),(156,1)}
       138:{1,2,6,7}:{(116,1),(117,1),(118,1),(128,1),(157,1),(161,1),(203,1)}
       139:{1,3,5,7}:{(117,1),(119,1),(120,1),(129,1),(157,1),(158,1),(160,1),(186,1)}
       140:{2,3,5,7}:{(118,1),(119,1),(130,1),(155,1),(157,1),(159,1),(185,1),(186,1)}
       141:{4,7}:{(119,1),(131,1)}
       142:{1,4,5,7}:{(120,1),(121,1),(122,1),(132,1),(158,1),(160,1)}
       143:{3,6,7}:{(122,1),(160,1),(161,1)}
       144:{2,3,7}:{(123,1),(124,1),(162,1),(186,1)}
       145:{1,2,4,6}:{(124,1),(125,1),(126,1),(128,1),(162,1),(163,1),(189,1)}
       146:{1,3,5}:{(125,1),(127,1),(163,1),(164,1),(190,1),(192,1)}
       147:{2,5}:{(126,1),(127,1)}
       148:{4,5}:{(127,1),(131,1)}
       149:{1,2,5,6}:{(128,1),(129,1),(130,1),(157,1),(163,1),(166,1),(169,1),(192,1),(203,1)}
       150:{1,4,6}:{(129,1),(131,1),(158,1),(164,1),(167,1)}
       151:{2,4,6}:{(130,1),(131,1),(159,1),(165,1),(168,1),(189,1)}
       152:{3,5,6}:{(132,1),(160,1),(167,1),(169,1)}
       153:{2,6}:{(133,1),(134,1)}
       154:{3,5,6}:{(134,1),(135,1),(137,1),(170,1),(171,1),(195,1)}
       155:{2,5,7}:{(136,1),(137,1),(147,1),(170,1)}
       156:{4,5,7}:{(137,1),(141,1),(148,1),(171,1)}
       157:{1,2,5,7}:{(138,1),(139,1),(140,1),(149,1),(173,1),(176,1),(196,1)}
       158:{1,4,7}:{(139,1),(141,1),(150,1),(174,1)}
       159:{2,4,7}:{(140,1),(141,1),(151,1),(175,1)}
       160:{3,5,7}:{(142,1),(143,1),(152,1),(174,1),(176,1)}
       161:{2,6,7}:{(143,1),(176,1)}
       162:{2,3,6}:{(144,1),(145,1),(177,1),(181,1)}
       163:{1,2,5}:{(145,1),(146,1),(147,1),(177,1)}
       164:{1,4,5}:{(146,1),(148,1),(150,1),(179,1)}
       165:{2,4,5}:{(147,1),(148,1),(151,1),(180,1)}
       166:{1,2,4,6}:{(149,1),(150,1),(151,1),(173,1),(178,1),(181,1),(182,1),(183,1),(202,1)}
       167:{3,4,6}:{(150,1),(152,1),(174,1),(179,1),(181,1),(182,1)}
       168:{3,4,6}:{(151,1),(175,1),(180,1),(181,1),(183,1),(195,1),(199,1)}
       169:{2,5,6}:{(152,1),(176,1),(182,1)}
       170:{2,5,6}:{(153,1),(154,1),(155,1),(184,1)}
       171:{4,6}:{(154,1),(156,1)}
       172:{2,4,5,7}:{(155,1),(156,1),(159,1),(165,1),(184,1),(185,1)}
       173:{1,2,4,7}:{(157,1),(158,1),(159,1),(166,1),(186,1),(187,1),(188,1),(204,1)}
       174:{3,4,7}:{(158,1),(160,1),(167,1),(186,1),(187,1)}
       175:{3,4,7}:{(159,1),(168,1),(185,1),(186,1),(188,1)}
       176:{2,5,7}:{(160,1),(161,1),(169,1),(187,1)}
       177:{2,3,5}:{(162,1),(163,1),(189,1),(190,1)}
       178:{1,2,4,5}:{(163,1),(164,1),(165,1),(166,1),(189,1),(190,1),(191,1),(192,1),(205,1),(207,1)}
       179:{3,4,5}:{(164,1),(167,1),(190,1),(191,1)}
       180:{3,5}:{(165,1),(168,1),(192,1)}
       181:{3,6}:{(166,1),(186,1),(190,1)}
       182:{2,4,6}:{(167,1),(169,1),(187,1),(191,1),(194,1)}
       183:{1,4,6}:{(168,1),(188,1),(192,1),(193,1),(203,1),(205,1)}
       184:{2,4,6}:{(170,1),(171,1),(172,1),(195,1)}
       185:{3,5,7}:{(172,1),(175,1),(180,1),(195,1),(196,1)}
       186:{3,7}:{(173,1),(181,1)}
       187:{2,4,7}:{(174,1),(176,1),(182,1),(198,1)}
       188:{1,4,7}:{(175,1),(183,1),(196,1),(197,1)}
       189:{2,4}:{(177,1),(199,1)}
       190:{3,5}:{(178,1),(181,1),(199,1)}
       191:{2,4,5}:{(179,1),(182,1),(201,1)}
       192:{1,5}:{(180,1),(183,1)}
       193:{1,3,6}:{(181,1),(183,1),(197,1),(200,1),(202,1)}
       194:{2,3,6}:{(181,1),(182,1),(198,1),(201,1),(202,1)}
       195:{3,6}:{(184,1),(185,1),(203,1)}
       196:{1,5,7}:{(185,1),(188,1),(192,1),(203,1)}
       197:{1,3,7}:{(186,1),(188,1),(193,1),(204,1)}
       198:{2,3,7}:{(186,1),(187,1),(194,1),(204,1)}
       199:{3,4}:{(189,1),(190,1),(205,1)}
       200:{1,3,5}:{(190,1),(192,1),(193,1),(205,1),(207,1),(209,1)}
       201:{2,3,5}:{(190,1),(191,1),(194,1),(206,1),(207,1)}
       202:{1,2,6}:{(193,1),(194,1),(204,1),(207,1)}
       203:{1,6}:{(195,1),(196,1)}
       204:{1,2,7}:{(197,1),(198,1),(202,1)}
       205:{1,4}:{(199,1),(200,1)}
       206:{2,3,4}:{(199,1),(201,1),(208,1)}
       207:{1,2,5}:{(200,1),(201,1),(202,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{1,3}:{(208,1)}

 830 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(59,1),(111,1)}
         1:{1,3,4,6}:{(3,1),(5,1),(6,1),(17,1),(24,1),(27,1),(59,1),(61,1)}
         2:{1,2,3,5}:{(0,1),(8,1),(10,1),(31,1),(34,1),(81,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(10,1),(11,1),(40,1)}
         4:{1,2,3,7}:{(0,1),(11,1),(90,1),(140,1),(220,1)}
         5:{1,3,5}:{(1,1),(10,1),(12,1),(34,1),(92,1)}
         6:{1,3,4,7}:{(1,1),(11,1),(14,1),(35,1),(45,1),(90,1),(187,1)}
         7:{2,3,4,6}:{(3,1),(15,1),(16,1),(17,1),(49,1),(52,1),(59,1),(61,1)}
         8:{1,2,4}:{(2,1),(17,1)}
         9:{1,2,3,5,7}:{(2,1),(4,1),(19,1),(20,1),(22,1),(54,1),(60,1),(64,1),(112,1),(114,1)}
        10:{1,2,5}:{(3,1),(5,1),(15,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(6,1),(16,1),(22,1),(206,1)}
        12:{1,4,5}:{(5,1),(23,1),(24,1),(123,1)}
        13:{1,3,5,6}:{(5,1),(21,1),(24,1),(26,1),(27,1),(59,1),(66,1),(73,1),(122,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(22,1),(25,1),(27,1),(60,1),(204,1),(226,1)}
        15:{2,3,5}:{(7,1),(10,1),(28,1),(34,1),(92,1)}
        16:{2,3,4,7}:{(7,1),(11,1),(30,1),(35,1),(78,1),(90,1),(188,1)}
        17:{3,4}:{(8,1),(34,1)}
        18:{1,2,4,5}:{(8,1),(10,1),(12,1),(28,1),(34,1),(36,1),(42,1),(75,1),(81,1)}
        19:{1,2,4,7}:{(8,1),(9,1),(35,1),(38,1),(143,1)}
        20:{1,2,3,6}:{(9,1),(38,1),(40,1),(91,1),(141,1)}
        21:{1,2,5,6}:{(10,1),(13,1),(29,1),(36,1),(39,1),(40,1),(95,1),(132,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(14,1),(30,1),(40,1),(219,1),(230,1)}
        23:{3,4,5}:{(12,1),(34,1),(42,1),(43,1)}
        24:{1,4,6}:{(12,1),(13,1),(43,1),(45,1),(151,1)}
        25:{1,4,5,7}:{(12,1),(14,1),(44,1),(45,1),(46,1),(102,1),(191,1),(221,1)}
        26:{1,3,5,7}:{(13,1),(39,1),(45,1),(47,1),(90,1),(96,1),(102,1),(150,1)}
        27:{1,3,6}:{(14,1),(40,1),(46,1),(91,1)}
        28:{2,4,5}:{(15,1),(48,1),(49,1),(123,1)}
        29:{2,3,5,6}:{(15,1),(21,1),(49,1),(51,1),(52,1),(59,1),(103,1),(110,1),(122,1)}
        30:{2,3,5,7}:{(15,1),(16,1),(22,1),(50,1),(52,1),(60,1),(205,1),(227,1)}
        31:{1,2,3}:{(53,1)}
        32:{2,3,4}:{(17,1),(53,1),(55,1)}
        33:{1,3,4}:{(17,1),(53,1),(57,1)}
        34:{3,5}:{(17,1),(18,1),(59,1)}
        35:{3,4,7}:{(17,1),(19,1),(60,1),(61,1),(167,1),(174,1)}
        36:{1,2,4,6}:{(18,1),(21,1),(24,1),(49,1),(59,1),(62,1),(68,1),(105,1),(111,1)}
        37:{1,2,4,5,7}:{(18,1),(19,1),(22,1),(25,1),(50,1),(60,1),(62,1),(63,1),(64,1),(69,1),(106,1),(112,1),(123,1),(124,1),(166,1),(174,1),(202,1)}
        38:{1,2,4,6}:{(19,1),(20,1),(61,1),(64,1)}
        39:{1,2,5,7}:{(21,1),(26,1),(51,1),(62,1),(65,1),(125,1),(157,1)}
        40:{1,2,6}:{(22,1),(27,1),(52,1)}
        41:{1,4,5,6}:{(24,1),(66,1),(67,1),(73,1),(131,1)}
        42:{2,4,5}:{(23,1),(55,1),(68,1)}
        43:{3,4,6}:{(23,1),(24,1),(59,1),(66,1),(68,1),(70,1)}
        44:{3,4,5,7}:{(23,1),(25,1),(60,1),(69,1),(70,1),(71,1),(123,1),(130,1),(170,1),(174,1),(207,1)}
        45:{1,4,7}:{(24,1),(26,1),(70,1),(174,1)}
        46:{1,4,6}:{(25,1),(27,1),(71,1),(73,1)}
        47:{1,3,6,7}:{(26,1),(27,1),(65,1),(72,1),(121,1),(126,1),(226,1)}
        48:{3,4,5}:{(28,1),(34,1),(75,1),(76,1)}
        49:{2,4,6}:{(28,1),(29,1),(76,1),(78,1),(151,1)}
        50:{2,4,5,7}:{(28,1),(30,1),(77,1),(78,1),(79,1),(139,1),(194,1),(222,1)}
        51:{2,3,5,7}:{(29,1),(39,1),(78,1),(80,1),(90,1),(133,1),(139,1),(150,1)}
        52:{2,3,6}:{(30,1),(40,1),(79,1),(91,1)}
        53:{1,2,4}:{(31,1),(32,1),(33,1),(81,1)}
        54:{1,2,3,7}:{(31,1),(82,1),(83,1),(216,1),(230,1)}
        55:{2,3,5}:{(32,1),(34,1),(42,1),(81,1),(84,1)}
        56:{2,3,4,7}:{(32,1),(35,1),(82,1),(85,1),(86,1),(189,1),(216,1)}
        57:{1,3,5}:{(33,1),(34,1),(75,1),(81,1),(87,1)}
        58:{1,3,4,7}:{(33,1),(35,1),(82,1),(88,1),(89,1),(192,1),(216,1)}
        59:{3,6}:{(34,1),(36,1),(90,1)}
        60:{3,5,7}:{(34,1),(35,1),(37,1),(90,1),(91,1),(92,1),(186,1),(216,1)}
        61:{3,4,6}:{(35,1),(38,1),(91,1),(92,1),(151,1)}
        62:{1,2,4,7}:{(36,1),(39,1),(45,1),(78,1),(90,1),(98,1),(135,1),(140,1)}
        63:{1,2,4,6}:{(37,1),(40,1),(46,1),(79,1),(91,1),(94,1),(99,1),(136,1),(141,1),(151,1)}
        64:{1,2,5}:{(38,1),(92,1)}
        65:{1,2,6,7}:{(39,1),(40,1),(47,1),(80,1),(152,1),(179,1),(230,1)}
        66:{3,5,6}:{(41,1),(43,1),(95,1),(96,1)}
        67:{1,4,5,7}:{(41,1),(45,1),(96,1),(97,1),(102,1),(156,1)}
        68:{2,4,6}:{(42,1),(43,1),(84,1),(95,1),(98,1)}
        69:{2,4,5,7}:{(42,1),(44,1),(85,1),(98,1),(99,1),(146,1),(154,1),(189,1)}
        70:{3,4,7}:{(43,1),(45,1),(90,1),(96,1),(98,1)}
        71:{3,4,6}:{(44,1),(46,1),(91,1),(99,1),(101,1),(151,1)}
        72:{1,4,6,7}:{(45,1),(46,1),(47,1),(100,1),(102,1),(221,1),(223,1)}
        73:{1,5,6}:{(46,1),(101,1),(102,1)}
        74:{2,4,5,6}:{(49,1),(103,1),(104,1),(110,1),(163,1)}
        75:{1,4,5}:{(48,1),(57,1),(105,1)}
        76:{3,4,6}:{(48,1),(49,1),(59,1),(103,1),(105,1),(107,1)}
        77:{3,4,5,7}:{(48,1),(50,1),(60,1),(106,1),(107,1),(108,1),(123,1),(162,1),(173,1),(174,1),(209,1)}
        78:{2,4,7}:{(49,1),(51,1),(107,1),(174,1)}
        79:{2,4,6}:{(50,1),(52,1),(108,1),(110,1)}
        80:{2,3,6,7}:{(51,1),(52,1),(65,1),(109,1),(121,1),(158,1),(227,1)}
        81:{1,2,5}:{(53,1),(55,1),(57,1),(111,1)}
        82:{1,2,4,7}:{(53,1),(54,1),(56,1),(58,1),(112,1),(113,1)}
        83:{1,2,3,6}:{(54,1),(113,1),(114,1),(203,1),(228,1)}
        84:{2,3,6}:{(55,1),(59,1),(68,1),(111,1),(115,1)}
        85:{2,3,5,7}:{(55,1),(56,1),(60,1),(69,1),(112,1),(115,1),(116,1),(117,1)}
        86:{2,3,4,6}:{(56,1),(61,1),(113,1),(116,1),(117,1),(167,1),(169,1),(203,1)}
        87:{1,3,6}:{(57,1),(59,1),(105,1),(111,1),(118,1)}
        88:{1,3,5,7}:{(57,1),(58,1),(60,1),(106,1),(112,1),(118,1),(119,1),(120,1)}
        89:{1,3,4,6}:{(58,1),(61,1),(113,1),(119,1),(120,1),(167,1),(172,1),(203,1)}
        90:{3,7}:{(59,1),(62,1)}
        91:{3,6}:{(60,1),(63,1)}
        92:{3,5}:{(61,1),(64,1),(123,1)}
        93:{1,2,4,6,7}:{(62,1),(63,1),(65,1),(72,1),(109,1),(121,1),(124,1),(128,1),(160,1),(164,1),(174,1),(202,1)}
        94:{1,2,5,6}:{(63,1),(64,1),(73,1),(110,1),(122,1),(124,1),(129,1),(161,1)}
        95:{2,5,6}:{(66,1),(68,1),(125,1)}
        96:{3,5,7}:{(66,1),(67,1),(70,1),(125,1),(126,1)}
        97:{1,4,6,7}:{(67,1),(126,1),(127,1),(176,1)}
        98:{2,4,7}:{(68,1),(70,1),(115,1),(125,1)}
        99:{2,4,6}:{(69,1),(71,1),(116,1),(129,1)}
       100:{3,4,6,7}:{(70,1),(71,1),(72,1),(121,1),(126,1),(128,1),(130,1),(174,1),(176,1),(207,1),(211,1)}
       101:{3,5,6}:{(71,1),(73,1),(129,1),(130,1),(131,1)}
       102:{1,5,7}:{(72,1),(73,1),(130,1)}
       103:{3,5,6}:{(74,1),(76,1),(132,1),(133,1)}
       104:{2,4,5,7}:{(74,1),(78,1),(133,1),(134,1),(139,1),(183,1)}
       105:{1,4,6}:{(75,1),(76,1),(87,1),(132,1),(135,1)}
       106:{1,4,5,7}:{(75,1),(77,1),(88,1),(135,1),(136,1),(149,1),(181,1),(192,1)}
       107:{3,4,7}:{(76,1),(78,1),(90,1),(133,1),(135,1)}
       108:{3,4,6}:{(77,1),(79,1),(91,1),(136,1),(138,1),(151,1)}
       109:{2,4,6,7}:{(78,1),(79,1),(80,1),(137,1),(139,1),(222,1),(229,1)}
       110:{2,5,6}:{(79,1),(138,1),(139,1)}
       111:{1,2,6}:{(81,1),(84,1),(87,1),(140,1)}
       112:{1,2,5,7}:{(81,1),(82,1),(85,1),(88,1),(140,1),(141,1),(142,1)}
       113:{1,2,4,6}:{(82,1),(83,1),(86,1),(89,1),(141,1),(142,1),(143,1)}
       114:{1,2,3,5}:{(83,1),(142,1),(143,1),(186,1),(219,1),(220,1)}
       115:{2,3,7}:{(84,1),(90,1),(98,1),(140,1)}
       116:{2,3,6}:{(85,1),(91,1),(99,1),(141,1)}
       117:{2,3,5}:{(86,1),(92,1),(142,1),(146,1),(186,1)}
       118:{1,3,7}:{(87,1),(90,1),(135,1),(140,1)}
       119:{1,3,6}:{(88,1),(91,1),(136,1),(141,1)}
       120:{1,3,5}:{(89,1),(92,1),(142,1),(149,1),(186,1)}
       121:{3,6,7}:{(90,1),(91,1),(93,1),(150,1),(216,1)}
       122:{3,5,6}:{(91,1),(92,1),(94,1),(150,1),(151,1)}
       123:{4,5}:{(92,1),(151,1)}
       124:{1,2,5,7}:{(93,1),(94,1),(102,1),(139,1),(150,1),(154,1),(181,1)}
       125:{2,5,7}:{(95,1),(96,1),(98,1),(152,1)}
       126:{3,6,7}:{(96,1),(97,1),(152,1)}
       127:{1,5,6,7}:{(97,1),(102,1),(153,1),(223,1)}
       128:{2,4,6,7}:{(98,1),(99,1),(100,1),(144,1),(152,1),(154,1),(189,1)}
       129:{2,5,6}:{(99,1),(101,1),(154,1)}
       130:{3,5,7}:{(100,1),(101,1),(102,1),(154,1),(156,1)}
       131:{4,5,6}:{(101,1),(151,1),(156,1)}
       132:{1,5,6}:{(103,1),(105,1),(157,1)}
       133:{3,5,7}:{(103,1),(104,1),(107,1),(157,1),(158,1)}
       134:{2,4,6,7}:{(104,1),(158,1),(159,1),(199,1)}
       135:{1,4,7}:{(105,1),(107,1),(118,1),(157,1)}
       136:{1,4,6}:{(106,1),(108,1),(119,1),(161,1)}
       137:{3,4,6,7}:{(107,1),(108,1),(109,1),(121,1),(158,1),(160,1),(162,1),(174,1),(199,1),(209,1),(224,1)}
       138:{3,5,6}:{(108,1),(110,1),(161,1),(162,1),(163,1)}
       139:{2,5,7}:{(109,1),(110,1),(162,1)}
       140:{1,2,7}:{(111,1),(115,1),(118,1)}
       141:{1,2,6}:{(112,1),(116,1),(119,1)}
       142:{1,2,5}:{(113,1),(117,1),(120,1)}
       143:{1,2,4}:{(114,1),(167,1)}
       144:{2,3,6,7}:{(115,1),(116,1),(121,1),(128,1),(164,1),(168,1),(211,1)}
       145:{2,3,5,6}:{(116,1),(117,1),(122,1),(129,1),(165,1),(168,1),(169,1),(178,1),(203,1)}
       146:{2,4,5}:{(117,1),(123,1),(169,1),(170,1)}
       147:{1,3,6,7}:{(118,1),(119,1),(121,1),(160,1),(164,1),(171,1),(224,1)}
       148:{1,3,5,6}:{(119,1),(120,1),(122,1),(161,1),(165,1),(171,1),(172,1),(201,1),(203,1)}
       149:{1,4,5}:{(120,1),(123,1),(172,1),(173,1)}
       150:{3,5,7}:{(121,1),(122,1),(124,1),(174,1)}
       151:{4,6}:{(122,1),(123,1),(174,1)}
       152:{2,6,7}:{(125,1),(126,1)}
       153:{3,5,6,7}:{(126,1),(127,1),(130,1),(175,1),(176,1),(211,1)}
       154:{2,5,7}:{(128,1),(129,1),(130,1)}
       155:{2,4,5,6}:{(129,1),(131,1),(169,1),(177,1),(178,1)}
       156:{4,5,7}:{(130,1),(131,1),(174,1),(176,1)}
       157:{1,5,7}:{(132,1),(133,1),(135,1),(179,1)}
       158:{3,6,7}:{(133,1),(134,1),(179,1)}
       159:{2,5,6,7}:{(134,1),(139,1),(180,1),(229,1)}
       160:{1,4,6,7}:{(135,1),(136,1),(137,1),(147,1),(179,1),(181,1),(192,1)}
       161:{1,5,6}:{(136,1),(138,1),(181,1)}
       162:{3,5,7}:{(137,1),(138,1),(139,1),(181,1),(183,1)}
       163:{4,5,6}:{(138,1),(151,1),(183,1)}
       164:{1,2,6,7}:{(140,1),(141,1),(144,1),(147,1),(184,1),(223,1),(229,1)}
       165:{1,2,5,6}:{(141,1),(142,1),(145,1),(148,1),(184,1),(185,1),(197,1),(215,1)}
       166:{1,2,4,5}:{(142,1),(143,1),(146,1),(149,1),(185,1),(186,1),(191,1),(194,1),(219,1)}
       167:{3,4}:{(143,1),(186,1)}
       168:{2,3,5,7}:{(144,1),(145,1),(150,1),(154,1),(184,1),(189,1),(196,1),(216,1)}
       169:{2,4,6}:{(145,1),(146,1),(151,1),(189,1),(190,1)}
       170:{3,4,5}:{(146,1),(186,1),(190,1),(191,1)}
       171:{1,3,5,7}:{(147,1),(148,1),(150,1),(181,1),(184,1),(192,1),(214,1),(216,1)}
       172:{1,4,6}:{(148,1),(149,1),(151,1),(192,1),(193,1)}
       173:{3,4,5}:{(149,1),(186,1),(193,1),(194,1)}
       174:{4,7}:{(150,1),(151,1)}
       175:{2,5,6,7}:{(152,1),(153,1),(154,1),(195,1)}
       176:{4,6,7}:{(153,1),(156,1)}
       177:{2,4,5,7}:{(154,1),(155,1),(156,1),(189,1),(195,1),(196,1)}
       178:{3,5,6}:{(155,1),(190,1),(196,1),(197,1)}
       179:{1,6,7}:{(157,1),(158,1)}
       180:{3,5,6,7}:{(158,1),(159,1),(162,1),(198,1),(199,1),(224,1)}
       181:{1,5,7}:{(160,1),(161,1),(162,1)}
       182:{1,4,5,6}:{(161,1),(163,1),(172,1),(200,1),(201,1)}
       183:{4,5,7}:{(162,1),(163,1),(174,1),(199,1)}
       184:{1,2,5,7}:{(164,1),(165,1),(168,1),(171,1),(202,1),(212,1),(225,1)}
       185:{1,2,4,6}:{(165,1),(166,1),(169,1),(172,1),(202,1),(203,1),(208,1),(210,1),(228,1)}
       186:{3,5}:{(166,1),(167,1),(203,1)}
       187:{1,3,4}:{(167,1),(204,1),(206,1)}
       188:{2,3,4}:{(167,1),(205,1),(206,1)}
       189:{2,4,7}:{(168,1),(169,1),(174,1),(207,1)}
       190:{3,4,6}:{(169,1),(170,1),(178,1),(203,1),(207,1),(208,1)}
       191:{1,4,5}:{(170,1),(204,1),(208,1)}
       192:{1,4,7}:{(171,1),(172,1),(174,1),(209,1)}
       193:{3,4,6}:{(172,1),(173,1),(201,1),(203,1),(209,1),(210,1)}
       194:{2,4,5}:{(173,1),(205,1),(210,1)}
       195:{2,4,6,7}:{(175,1),(176,1),(177,1),(211,1)}
       196:{3,5,7}:{(177,1),(178,1),(207,1),(211,1),(212,1)}
       197:{1,5,6}:{(178,1),(208,1),(212,1)}
       198:{1,5,6,7}:{(179,1),(180,1),(181,1),(213,1)}
       199:{4,6,7}:{(180,1),(183,1)}
       200:{1,4,5,7}:{(181,1),(182,1),(183,1),(192,1),(213,1),(214,1)}
       201:{3,5,6}:{(182,1),(193,1),(214,1),(215,1)}
       202:{1,2,4,7}:{(184,1),(185,1),(189,1),(192,1),(216,1),(221,1),(222,1),(230,1)}
       203:{3,6}:{(185,1),(186,1),(216,1)}
       204:{1,3,5}:{(186,1),(187,1),(191,1),(217,1),(219,1)}
       205:{2,3,5}:{(186,1),(188,1),(194,1),(218,1),(219,1)}
       206:{1,2,4}:{(187,1),(188,1),(219,1),(220,1)}
       207:{3,4,7}:{(189,1),(190,1),(196,1),(216,1),(221,1)}
       208:{1,4,6}:{(190,1),(191,1),(197,1),(217,1),(221,1)}
       209:{3,4,7}:{(192,1),(193,1),(214,1),(216,1),(222,1)}
       210:{2,4,6}:{(193,1),(194,1),(215,1),(218,1),(222,1)}
       211:{3,6,7}:{(195,1),(196,1),(223,1)}
       212:{1,5,7}:{(196,1),(197,1),(221,1),(223,1)}
       213:{1,4,6,7}:{(198,1),(199,1),(200,1),(224,1)}
       214:{3,5,7}:{(200,1),(201,1),(209,1),(224,1),(225,1)}
       215:{2,5,6}:{(201,1),(210,1),(225,1)}
       216:{3,7}:{(202,1),(203,1)}
       217:{1,3,6}:{(203,1),(204,1),(208,1),(226,1),(228,1)}
       218:{2,3,6}:{(203,1),(205,1),(210,1),(227,1),(228,1)}
       219:{1,2,5}:{(204,1),(205,1),(206,1),(228,1)}
       220:{1,2,3}:{(206,1)}
       221:{1,4,7}:{(207,1),(208,1),(212,1),(226,1)}
       222:{2,4,7}:{(209,1),(210,1),(225,1),(227,1)}
       223:{1,6,7}:{(211,1),(212,1)}
       224:{3,6,7}:{(213,1),(214,1),(229,1)}
       225:{2,5,7}:{(214,1),(215,1),(222,1),(229,1)}
       226:{1,3,7}:{(216,1),(217,1),(221,1),(230,1)}
       227:{2,3,7}:{(216,1),(218,1),(222,1),(230,1)}
       228:{1,2,6}:{(217,1),(218,1),(219,1),(230,1)}
       229:{2,6,7}:{(224,1),(225,1)}
       230:{1,2,7}:{(226,1),(227,1),(228,1)}

 831 :   0:{1,2,3,7}:{(3,1),(4,1),(129,1),(190,1),(220,1)}
         1:{1,3,4,7}:{(3,1),(5,1),(6,1),(18,1),(75,1),(129,1),(182,1)}
         2:{1,2,3,5,7}:{(0,1),(8,1),(9,1),(10,1),(12,1),(32,1),(35,1),(38,1),(85,1),(87,1)}
         3:{1,2,4,7}:{(0,1),(1,1),(7,1),(10,1),(11,1),(205,1)}
         4:{1,2,3,6}:{(0,1),(11,1),(12,1),(97,1),(164,1)}
         5:{1,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(15,1),(35,1),(203,1),(226,1)}
         6:{1,3,4,6}:{(1,1),(11,1),(14,1),(15,1),(36,1),(42,1),(48,1),(97,1)}
         7:{2,3,4,7}:{(3,1),(16,1),(17,1),(18,1),(115,1),(129,1),(183,1)}
         8:{1,2,4,7}:{(2,1),(18,1),(20,1),(23,1),(120,1)}
         9:{1,2,3,6}:{(2,1),(20,1),(21,1),(61,1),(118,1)}
        10:{1,2,5,7}:{(3,1),(5,1),(16,1),(21,1),(22,1),(219,1),(230,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(6,1),(17,1),(21,1),(22,1),(23,1)}
        12:{1,2,3,5}:{(4,1),(22,1),(23,1),(67,1),(132,1),(133,1)}
        13:{1,4,5,7}:{(5,1),(24,1),(25,1),(28,1),(73,1),(75,1),(186,1),(221,1)}
        14:{1,3,6}:{(5,1),(21,1),(25,1),(61,1)}
        15:{1,3,5}:{(6,1),(22,1),(28,1),(62,1),(67,1)}
        16:{2,3,5,7}:{(7,1),(10,1),(29,1),(30,1),(31,1),(35,1),(204,1),(227,1)}
        17:{2,3,4,6}:{(7,1),(11,1),(30,1),(31,1),(36,1),(42,1),(83,1),(97,1)}
        18:{3,4,7}:{(8,1),(35,1),(36,1),(42,1),(154,1),(161,1)}
        19:{1,2,4,5,7}:{(8,1),(10,1),(13,1),(29,1),(35,1),(37,1),(38,1),(41,1),(43,1),(78,1),(85,1),(94,1),(95,1),(96,1),(153,1),(161,1),(201,1)}
        20:{1,2,4,6}:{(8,1),(9,1),(36,1),(38,1)}
        21:{1,2,6}:{(10,1),(14,1),(30,1)}
        22:{1,2,5}:{(11,1),(15,1),(31,1)}
        23:{1,2,4}:{(12,1),(42,1)}
        24:{3,4,5,7}:{(13,1),(35,1),(43,1),(44,1),(49,1),(94,1),(103,1),(108,1),(157,1),(161,1),(206,1)}
        25:{1,4,6}:{(13,1),(14,1),(44,1),(46,1)}
        26:{1,3,6,7}:{(14,1),(39,1),(45,1),(47,1),(92,1),(169,1),(226,1)}
        27:{1,3,5,6}:{(14,1),(15,1),(40,1),(46,1),(47,1),(48,1),(93,1),(97,1),(107,1)}
        28:{1,4,5}:{(15,1),(48,1),(49,1),(94,1)}
        29:{2,4,5,7}:{(16,1),(50,1),(51,1),(54,1),(113,1),(115,1),(189,1),(222,1)}
        30:{2,3,6}:{(16,1),(21,1),(51,1),(61,1)}
        31:{2,3,5}:{(17,1),(22,1),(54,1),(62,1),(67,1)}
        32:{1,2,3,7}:{(55,1),(56,1),(133,1),(216,1),(230,1)}
        33:{2,3,4,7}:{(18,1),(55,1),(57,1),(58,1),(69,1),(184,1),(216,1)}
        34:{1,3,4,7}:{(18,1),(55,1),(59,1),(60,1),(68,1),(187,1),(216,1)}
        35:{3,5,7}:{(18,1),(19,1),(61,1),(62,1),(67,1),(129,1),(181,1),(216,1)}
        36:{3,4,6}:{(18,1),(20,1),(61,1),(62,1),(128,1)}
        37:{1,2,4,6}:{(19,1),(21,1),(25,1),(51,1),(61,1),(64,1),(70,1),(110,1),(118,1),(128,1)}
        38:{1,2,5}:{(20,1),(62,1)}
        39:{1,2,6,7}:{(21,1),(26,1),(52,1),(65,1),(194,1),(215,1),(230,1)}
        40:{1,2,5,6}:{(21,1),(22,1),(27,1),(53,1),(65,1),(66,1),(140,1),(177,1)}
        41:{1,2,4,5}:{(22,1),(23,1),(28,1),(54,1),(66,1),(67,1),(77,1),(117,1),(132,1)}
        42:{3,4}:{(23,1),(67,1)}
        43:{2,4,5,7}:{(24,1),(57,1),(70,1),(77,1),(123,1),(134,1),(141,1),(184,1)}
        44:{3,4,6}:{(24,1),(25,1),(61,1),(70,1),(72,1),(128,1)}
        45:{1,4,6,7}:{(25,1),(26,1),(71,1),(73,1),(75,1),(221,1),(223,1)}
        46:{1,5,6}:{(25,1),(72,1),(73,1)}
        47:{1,3,5,7}:{(26,1),(27,1),(65,1),(73,1),(75,1),(127,1),(129,1),(139,1)}
        48:{1,4,6}:{(27,1),(28,1),(75,1),(76,1),(128,1)}
        49:{3,4,5}:{(28,1),(67,1),(76,1),(77,1)}
        50:{3,4,5,7}:{(29,1),(35,1),(78,1),(79,1),(84,1),(94,1),(144,1),(149,1),(160,1),(161,1),(208,1)}
        51:{2,4,6}:{(29,1),(30,1),(79,1),(81,1)}
        52:{2,3,6,7}:{(30,1),(39,1),(80,1),(82,1),(92,1),(199,1),(227,1)}
        53:{2,3,5,6}:{(30,1),(31,1),(40,1),(81,1),(82,1),(83,1),(93,1),(97,1),(148,1)}
        54:{2,4,5}:{(31,1),(83,1),(84,1),(94,1)}
        55:{1,2,4,7}:{(32,1),(33,1),(34,1),(85,1),(86,1),(100,1)}
        56:{1,2,3,6}:{(32,1),(86,1),(87,1),(202,1),(228,1)}
        57:{2,3,5,7}:{(33,1),(35,1),(43,1),(85,1),(88,1),(89,1),(99,1),(163,1)}
        58:{2,3,4,6}:{(33,1),(36,1),(86,1),(88,1),(89,1),(154,1),(156,1),(202,1)}
        59:{1,3,5,7}:{(34,1),(35,1),(78,1),(85,1),(90,1),(91,1),(98,1),(162,1)}
        60:{1,3,4,6}:{(34,1),(36,1),(86,1),(90,1),(91,1),(154,1),(159,1),(202,1)}
        61:{3,6}:{(35,1),(37,1)}
        62:{3,5}:{(36,1),(38,1),(94,1)}
        63:{1,2,4,6,7}:{(37,1),(39,1),(45,1),(80,1),(92,1),(95,1),(96,1),(101,1),(142,1),(151,1),(161,1),(201,1)}
        64:{1,2,5,6}:{(37,1),(38,1),(46,1),(81,1),(93,1),(95,1),(102,1),(143,1)}
        65:{1,2,5,7}:{(39,1),(40,1),(47,1),(82,1),(96,1),(170,1),(200,1)}
        66:{1,2,4,6}:{(40,1),(41,1),(48,1),(83,1),(96,1),(97,1),(109,1),(150,1),(164,1)}
        67:{3,5}:{(41,1),(42,1),(97,1)}
        68:{1,3,4}:{(42,1),(98,1),(100,1)}
        69:{2,3,4}:{(42,1),(99,1),(100,1)}
        70:{2,4,6}:{(43,1),(44,1),(88,1),(102,1)}
        71:{3,4,6,7}:{(44,1),(45,1),(92,1),(101,1),(103,1),(108,1),(161,1),(168,1),(169,1),(206,1),(210,1)}
        72:{3,5,6}:{(44,1),(46,1),(102,1),(103,1),(104,1)}
        73:{1,5,7}:{(45,1),(46,1),(103,1)}
        74:{1,4,5,6}:{(46,1),(48,1),(104,1),(106,1),(107,1)}
        75:{1,4,7}:{(47,1),(48,1),(108,1),(161,1)}
        76:{3,4,6}:{(48,1),(49,1),(97,1),(107,1),(108,1),(109,1)}
        77:{2,4,5}:{(49,1),(99,1),(109,1)}
        78:{1,4,5,7}:{(50,1),(59,1),(110,1),(117,1),(126,1),(171,1),(178,1),(187,1)}
        79:{3,4,6}:{(50,1),(51,1),(61,1),(110,1),(112,1),(128,1)}
        80:{2,4,6,7}:{(51,1),(52,1),(111,1),(113,1),(115,1),(222,1),(229,1)}
        81:{2,5,6}:{(51,1),(112,1),(113,1)}
        82:{2,3,5,7}:{(52,1),(53,1),(65,1),(113,1),(115,1),(127,1),(129,1),(176,1)}
        83:{2,4,6}:{(53,1),(54,1),(115,1),(116,1),(128,1)}
        84:{3,4,5}:{(54,1),(67,1),(116,1),(117,1)}
        85:{1,2,5,7}:{(55,1),(57,1),(59,1),(118,1),(119,1),(132,1),(190,1)}
        86:{1,2,4,6}:{(55,1),(56,1),(58,1),(60,1),(118,1),(119,1),(120,1)}
        87:{1,2,3,5}:{(56,1),(119,1),(120,1),(181,1),(219,1),(220,1)}
        88:{2,3,6}:{(57,1),(61,1),(70,1),(118,1)}
        89:{2,3,5}:{(58,1),(62,1),(119,1),(123,1),(181,1)}
        90:{1,3,6}:{(59,1),(61,1),(110,1),(118,1)}
        91:{1,3,5}:{(60,1),(62,1),(119,1),(126,1),(181,1)}
        92:{3,6,7}:{(61,1),(63,1),(127,1),(129,1),(216,1)}
        93:{3,5,6}:{(61,1),(62,1),(64,1),(127,1),(128,1)}
        94:{4,5}:{(62,1),(128,1)}
        95:{1,2,5,7}:{(63,1),(64,1),(73,1),(113,1),(127,1),(134,1),(171,1)}
        96:{1,2,4,7}:{(65,1),(66,1),(75,1),(115,1),(129,1),(141,1),(178,1),(190,1)}
        97:{3,6}:{(66,1),(67,1),(129,1)}
        98:{1,3,5}:{(67,1),(68,1),(117,1),(130,1),(132,1)}
        99:{2,3,5}:{(67,1),(69,1),(77,1),(131,1),(132,1)}
       100:{1,2,4}:{(68,1),(69,1),(132,1),(133,1)}
       101:{2,4,6,7}:{(70,1),(71,1),(121,1),(134,1),(141,1),(184,1),(194,1)}
       102:{2,5,6}:{(70,1),(72,1),(134,1)}
       103:{3,5,7}:{(71,1),(72,1),(73,1),(134,1),(137,1)}
       104:{4,5,6}:{(72,1),(128,1),(137,1)}
       105:{1,5,6,7}:{(73,1),(136,1),(138,1),(223,1)}
       106:{1,4,5,7}:{(73,1),(74,1),(75,1),(137,1),(138,1),(139,1)}
       107:{3,5,6}:{(74,1),(76,1),(139,1),(140,1)}
       108:{3,4,7}:{(75,1),(76,1),(129,1),(139,1),(141,1)}
       109:{2,4,6}:{(76,1),(77,1),(131,1),(140,1),(141,1)}
       110:{1,4,6}:{(78,1),(79,1),(90,1),(143,1)}
       111:{3,4,6,7}:{(79,1),(80,1),(92,1),(142,1),(144,1),(149,1),(161,1),(198,1),(199,1),(208,1),(224,1)}
       112:{3,5,6}:{(79,1),(81,1),(143,1),(144,1),(145,1)}
       113:{2,5,7}:{(80,1),(81,1),(144,1)}
       114:{2,4,5,6}:{(81,1),(83,1),(145,1),(147,1),(148,1)}
       115:{2,4,7}:{(82,1),(83,1),(149,1),(161,1)}
       116:{3,4,6}:{(83,1),(84,1),(97,1),(148,1),(149,1),(150,1)}
       117:{1,4,5}:{(84,1),(98,1),(150,1)}
       118:{1,2,6}:{(85,1),(88,1),(90,1)}
       119:{1,2,5}:{(86,1),(89,1),(91,1)}
       120:{1,2,4}:{(87,1),(154,1)}
       121:{2,3,6,7}:{(88,1),(92,1),(101,1),(151,1),(155,1),(163,1),(210,1)}
       122:{2,3,5,6}:{(88,1),(89,1),(93,1),(102,1),(152,1),(155,1),(156,1),(167,1),(202,1)}
       123:{2,4,5}:{(89,1),(94,1),(156,1),(157,1)}
       124:{1,3,6,7}:{(90,1),(92,1),(142,1),(151,1),(158,1),(162,1),(224,1)}
       125:{1,3,5,6}:{(90,1),(91,1),(93,1),(143,1),(152,1),(158,1),(159,1),(197,1),(202,1)}
       126:{1,4,5}:{(91,1),(94,1),(159,1),(160,1)}
       127:{3,5,7}:{(92,1),(93,1),(95,1),(161,1)}
       128:{4,6}:{(93,1),(94,1),(161,1)}
       129:{3,7}:{(96,1),(97,1)}
       130:{1,3,6}:{(97,1),(98,1),(150,1),(162,1),(164,1)}
       131:{2,3,6}:{(97,1),(99,1),(109,1),(163,1),(164,1)}
       132:{1,2,5}:{(98,1),(99,1),(100,1),(164,1)}
       133:{1,2,3}:{(100,1)}
       134:{2,5,7}:{(101,1),(102,1),(103,1)}
       135:{2,4,5,6}:{(102,1),(104,1),(156,1),(166,1),(167,1)}
       136:{3,5,6,7}:{(103,1),(105,1),(165,1),(168,1),(169,1),(210,1)}
       137:{4,5,7}:{(103,1),(104,1),(161,1),(168,1)}
       138:{1,4,6,7}:{(105,1),(106,1),(168,1),(169,1)}
       139:{3,5,7}:{(106,1),(107,1),(108,1),(169,1),(170,1)}
       140:{2,5,6}:{(107,1),(109,1),(170,1)}
       141:{2,4,7}:{(108,1),(109,1),(163,1),(170,1)}
       142:{1,4,6,7}:{(110,1),(111,1),(124,1),(171,1),(178,1),(187,1),(215,1)}
       143:{1,5,6}:{(110,1),(112,1),(171,1)}
       144:{3,5,7}:{(111,1),(112,1),(113,1),(171,1),(174,1)}
       145:{4,5,6}:{(112,1),(128,1),(174,1)}
       146:{2,5,6,7}:{(113,1),(173,1),(175,1),(229,1)}
       147:{2,4,5,7}:{(113,1),(114,1),(115,1),(174,1),(175,1),(176,1)}
       148:{3,5,6}:{(114,1),(116,1),(176,1),(177,1)}
       149:{3,4,7}:{(115,1),(116,1),(129,1),(176,1),(178,1)}
       150:{1,4,6}:{(116,1),(117,1),(130,1),(177,1),(178,1)}
       151:{1,2,6,7}:{(118,1),(121,1),(124,1),(179,1),(190,1),(223,1),(229,1)}
       152:{1,2,5,6}:{(118,1),(119,1),(122,1),(125,1),(179,1),(180,1),(193,1),(214,1)}
       153:{1,2,4,5}:{(119,1),(120,1),(123,1),(126,1),(180,1),(181,1),(186,1),(189,1),(219,1)}
       154:{3,4}:{(120,1),(181,1)}
       155:{2,3,5,7}:{(121,1),(122,1),(127,1),(134,1),(179,1),(184,1),(192,1),(216,1)}
       156:{2,4,6}:{(122,1),(123,1),(128,1),(184,1),(185,1)}
       157:{3,4,5}:{(123,1),(181,1),(185,1),(186,1)}
       158:{1,3,5,7}:{(124,1),(125,1),(127,1),(171,1),(179,1),(187,1),(213,1),(216,1)}
       159:{1,4,6}:{(125,1),(126,1),(128,1),(187,1),(188,1)}
       160:{3,4,5}:{(126,1),(181,1),(188,1),(189,1)}
       161:{4,7}:{(127,1),(128,1)}
       162:{1,3,7}:{(129,1),(130,1),(178,1),(190,1)}
       163:{2,3,7}:{(129,1),(131,1),(141,1),(190,1)}
       164:{1,2,6}:{(130,1),(131,1),(132,1),(190,1)}
       165:{2,5,6,7}:{(134,1),(136,1),(191,1),(194,1)}
       166:{2,4,5,7}:{(134,1),(135,1),(137,1),(184,1),(191,1),(192,1)}
       167:{3,5,6}:{(135,1),(185,1),(192,1),(193,1)}
       168:{4,6,7}:{(136,1),(137,1)}
       169:{3,6,7}:{(138,1),(139,1),(194,1)}
       170:{2,5,7}:{(139,1),(140,1),(141,1),(194,1)}
       171:{1,5,7}:{(142,1),(143,1),(144,1)}
       172:{1,4,5,6}:{(143,1),(145,1),(159,1),(196,1),(197,1)}
       173:{3,5,6,7}:{(144,1),(146,1),(195,1),(198,1),(199,1),(224,1)}
       174:{4,5,7}:{(144,1),(145,1),(161,1),(198,1)}
       175:{2,4,6,7}:{(146,1),(147,1),(198,1),(199,1)}
       176:{3,5,7}:{(147,1),(148,1),(149,1),(199,1),(200,1)}
       177:{1,5,6}:{(148,1),(150,1),(200,1)}
       178:{1,4,7}:{(149,1),(150,1),(162,1),(200,1)}
       179:{1,2,5,7}:{(151,1),(152,1),(155,1),(158,1),(201,1),(211,1),(225,1)}
       180:{1,2,4,6}:{(152,1),(153,1),(156,1),(159,1),(201,1),(202,1),(207,1),(209,1),(228,1)}
       181:{3,5}:{(153,1),(154,1),(202,1)}
       182:{1,3,4}:{(154,1),(203,1),(205,1)}
       183:{2,3,4}:{(154,1),(204,1),(205,1)}
       184:{2,4,7}:{(155,1),(156,1),(161,1),(206,1)}
       185:{3,4,6}:{(156,1),(157,1),(167,1),(202,1),(206,1),(207,1)}
       186:{1,4,5}:{(157,1),(203,1),(207,1)}
       187:{1,4,7}:{(158,1),(159,1),(161,1),(208,1)}
       188:{3,4,6}:{(159,1),(160,1),(197,1),(202,1),(208,1),(209,1)}
       189:{2,4,5}:{(160,1),(204,1),(209,1)}
       190:{1,2,7}:{(162,1),(163,1),(164,1)}
       191:{2,4,6,7}:{(165,1),(166,1),(168,1),(210,1)}
       192:{3,5,7}:{(166,1),(167,1),(206,1),(210,1),(211,1)}
       193:{1,5,6}:{(167,1),(207,1),(211,1)}
       194:{2,6,7}:{(169,1),(170,1)}
       195:{1,5,6,7}:{(171,1),(173,1),(212,1),(215,1)}
       196:{1,4,5,7}:{(171,1),(172,1),(174,1),(187,1),(212,1),(213,1)}
       197:{3,5,6}:{(172,1),(188,1),(213,1),(214,1)}
       198:{4,6,7}:{(173,1),(174,1)}
       199:{3,6,7}:{(175,1),(176,1),(215,1)}
       200:{1,5,7}:{(176,1),(177,1),(178,1),(215,1)}
       201:{1,2,4,7}:{(179,1),(180,1),(184,1),(187,1),(216,1),(221,1),(222,1),(230,1)}
       202:{3,6}:{(180,1),(181,1),(216,1)}
       203:{1,3,5}:{(181,1),(182,1),(186,1),(217,1),(219,1)}
       204:{2,3,5}:{(181,1),(183,1),(189,1),(218,1),(219,1)}
       205:{1,2,4}:{(182,1),(183,1),(219,1),(220,1)}
       206:{3,4,7}:{(184,1),(185,1),(192,1),(216,1),(221,1)}
       207:{1,4,6}:{(185,1),(186,1),(193,1),(217,1),(221,1)}
       208:{3,4,7}:{(187,1),(188,1),(213,1),(216,1),(222,1)}
       209:{2,4,6}:{(188,1),(189,1),(214,1),(218,1),(222,1)}
       210:{3,6,7}:{(191,1),(192,1),(223,1)}
       211:{1,5,7}:{(192,1),(193,1),(221,1),(223,1)}
       212:{1,4,6,7}:{(195,1),(196,1),(198,1),(224,1)}
       213:{3,5,7}:{(196,1),(197,1),(208,1),(224,1),(225,1)}
       214:{2,5,6}:{(197,1),(209,1),(225,1)}
       215:{1,6,7}:{(199,1),(200,1)}
       216:{3,7}:{(201,1),(202,1)}
       217:{1,3,6}:{(202,1),(203,1),(207,1),(226,1),(228,1)}
       218:{2,3,6}:{(202,1),(204,1),(209,1),(227,1),(228,1)}
       219:{1,2,5}:{(203,1),(204,1),(205,1),(228,1)}
       220:{1,2,3}:{(205,1)}
       221:{1,4,7}:{(206,1),(207,1),(211,1),(226,1)}
       222:{2,4,7}:{(208,1),(209,1),(225,1),(227,1)}
       223:{1,6,7}:{(210,1),(211,1)}
       224:{3,6,7}:{(212,1),(213,1),(229,1)}
       225:{2,5,7}:{(213,1),(214,1),(222,1),(229,1)}
       226:{1,3,7}:{(216,1),(217,1),(221,1),(230,1)}
       227:{2,3,7}:{(216,1),(218,1),(222,1),(230,1)}
       228:{1,2,6}:{(217,1),(218,1),(219,1),(230,1)}
       229:{2,6,7}:{(224,1),(225,1)}
       230:{1,2,7}:{(226,1),(227,1),(228,1)}

 832 :   0:{1,2,3}:{(3,1)}
         1:{1,3,4}:{(3,1),(4,1),(12,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(7,1),(8,1),(22,1),(26,1),(28,1),(55,1)}
         3:{1,2,4}:{(0,1),(1,1),(5,1),(8,1)}
         4:{1,3,5}:{(1,1),(8,1),(9,1),(10,1),(26,1)}
         5:{2,3,4}:{(3,1),(11,1),(12,1)}
         6:{1,2,3,6}:{(2,1),(13,1),(14,1),(16,1),(43,1),(73,1)}
         7:{1,2,4}:{(2,1),(12,1)}
         8:{1,2,5}:{(3,1),(4,1),(11,1),(16,1)}
         9:{1,4,5}:{(4,1),(17,1),(18,1)}
        10:{1,3,6}:{(4,1),(16,1),(18,1),(19,1),(43,1)}
        11:{2,3,5}:{(5,1),(8,1),(20,1),(21,1),(26,1)}
        12:{3,4}:{(7,1),(26,1)}
        13:{1,2,3,7}:{(6,1),(27,1),(30,1),(61,1),(89,1)}
        14:{1,2,4,6}:{(6,1),(7,1),(25,1),(27,1),(28,1),(62,1)}
        15:{1,2,4,5}:{(7,1),(8,1),(9,1),(20,1),(26,1),(28,1),(29,1),(31,1),(51,1),(55,1),(58,1)}
        16:{1,2,6}:{(8,1),(10,1),(21,1),(30,1)}
        17:{3,4,5}:{(9,1),(26,1),(31,1),(32,1),(58,1)}
        18:{1,4,6}:{(9,1),(10,1),(32,1),(33,1),(34,1)}
        19:{1,3,7}:{(10,1),(30,1),(34,1),(61,1)}
        20:{2,4,5}:{(11,1),(35,1),(36,1)}
        21:{2,3,6}:{(11,1),(16,1),(36,1),(37,1),(43,1)}
        22:{1,2,3}:{(38,1)}
        23:{2,3,4}:{(12,1),(38,1),(39,1)}
        24:{1,3,4}:{(12,1),(38,1),(40,1)}
        25:{3,4,6}:{(12,1),(14,1),(41,1),(42,1),(43,1),(77,1),(78,1)}
        26:{3,5}:{(12,1),(15,1),(43,1)}
        27:{1,2,4,7}:{(13,1),(14,1),(41,1),(44,1)}
        28:{1,2,5}:{(14,1),(42,1)}
        29:{1,2,4,6}:{(15,1),(16,1),(18,1),(36,1),(43,1),(45,1),(46,1),(47,1),(69,1),(73,1),(77,1)}
        30:{1,2,7}:{(16,1),(19,1),(37,1)}
        31:{2,4,5}:{(17,1),(39,1),(47,1)}
        32:{3,4,6}:{(17,1),(18,1),(43,1),(47,1),(48,1),(49,1),(77,1)}
        33:{1,5,6}:{(18,1),(48,1),(50,1)}
        34:{1,4,7}:{(18,1),(19,1),(49,1),(50,1)}
        35:{3,4,5}:{(20,1),(26,1),(51,1),(52,1),(58,1)}
        36:{2,4,6}:{(20,1),(21,1),(52,1),(53,1),(54,1)}
        37:{2,3,7}:{(21,1),(30,1),(54,1),(61,1)}
        38:{1,2,4}:{(22,1),(23,1),(24,1),(55,1)}
        39:{2,3,5}:{(23,1),(26,1),(31,1),(55,1),(56,1)}
        40:{1,3,5}:{(24,1),(26,1),(51,1),(55,1),(57,1)}
        41:{3,4,7}:{(25,1),(27,1),(59,1),(61,1),(91,1)}
        42:{3,5}:{(25,1),(28,1),(58,1)}
        43:{3,6}:{(26,1),(29,1),(61,1)}
        44:{1,2,5,7}:{(27,1),(28,1),(59,1),(62,1)}
        45:{1,2,5,6}:{(28,1),(29,1),(33,1),(53,1),(60,1),(62,1),(63,1),(64,1),(84,1)}
        46:{1,2,4,7}:{(29,1),(30,1),(34,1),(54,1),(61,1),(63,1),(65,1),(85,1),(89,1),(91,1)}
        47:{2,4,6}:{(31,1),(32,1),(56,1),(64,1),(65,1)}
        48:{3,5,6}:{(32,1),(33,1),(64,1),(66,1),(67,1)}
        49:{3,4,7}:{(32,1),(34,1),(61,1),(65,1),(67,1),(91,1)}
        50:{1,5,7}:{(33,1),(34,1),(67,1),(68,1)}
        51:{1,4,5}:{(35,1),(40,1),(69,1)}
        52:{3,4,6}:{(35,1),(36,1),(43,1),(69,1),(70,1),(71,1),(77,1)}
        53:{2,5,6}:{(36,1),(70,1),(72,1)}
        54:{2,4,7}:{(36,1),(37,1),(71,1),(72,1)}
        55:{1,2,5}:{(38,1),(39,1),(40,1),(73,1)}
        56:{2,3,6}:{(39,1),(43,1),(47,1),(73,1),(74,1)}
        57:{1,3,6}:{(40,1),(43,1),(69,1),(73,1),(75,1)}
        58:{4,5}:{(42,1),(77,1)}
        59:{3,5,7}:{(41,1),(42,1),(44,1),(76,1),(78,1)}
        60:{3,5,6}:{(42,1),(43,1),(45,1),(77,1),(78,1),(79,1),(98,1)}
        61:{3,7}:{(43,1),(46,1)}
        62:{1,2,6}:{(44,1),(78,1)}
        63:{1,2,5,7}:{(45,1),(46,1),(50,1),(72,1),(79,1),(80,1),(81,1),(95,1)}
        64:{2,5,6}:{(47,1),(48,1),(81,1)}
        65:{2,4,7}:{(47,1),(49,1),(74,1),(81,1)}
        66:{4,5,6}:{(48,1),(77,1),(82,1),(98,1)}
        67:{3,5,7}:{(48,1),(49,1),(50,1),(81,1),(82,1),(83,1)}
        68:{1,6,7}:{(50,1),(83,1)}
        69:{1,4,6}:{(51,1),(52,1),(57,1),(84,1),(85,1)}
        70:{3,5,6}:{(52,1),(53,1),(84,1),(86,1),(87,1)}
        71:{3,4,7}:{(52,1),(54,1),(61,1),(85,1),(87,1),(91,1)}
        72:{2,5,7}:{(53,1),(54,1),(87,1),(88,1)}
        73:{1,2,6}:{(55,1),(56,1),(57,1),(89,1)}
        74:{2,3,7}:{(56,1),(61,1),(65,1),(89,1)}
        75:{1,3,7}:{(57,1),(61,1),(85,1),(89,1)}
        76:{4,5,7}:{(58,1),(59,1),(90,1),(91,1),(103,1)}
        77:{4,6}:{(58,1),(60,1),(91,1)}
        78:{3,6}:{(59,1),(62,1),(90,1)}
        79:{3,5,7}:{(60,1),(61,1),(63,1),(91,1),(92,1),(103,1)}
        80:{1,2,6,7}:{(62,1),(63,1),(68,1),(88,1),(92,1),(93,1),(101,1)}
        81:{2,5,7}:{(64,1),(65,1),(67,1),(93,1)}
        82:{4,5,7}:{(66,1),(67,1),(91,1),(94,1),(103,1)}
        83:{3,6,7}:{(67,1),(68,1),(93,1),(94,1)}
        84:{1,5,6}:{(69,1),(70,1),(95,1)}
        85:{1,4,7}:{(69,1),(71,1),(75,1),(95,1)}
        86:{4,5,6}:{(70,1),(77,1),(96,1),(98,1)}
        87:{3,5,7}:{(70,1),(71,1),(72,1),(95,1),(96,1),(97,1)}
        88:{2,6,7}:{(72,1),(97,1)}
        89:{1,2,7}:{(73,1),(74,1),(75,1)}
        90:{4,6}:{(76,1),(78,1),(98,1)}
        91:{4,7}:{(77,1),(79,1)}
        92:{3,6,7}:{(78,1),(79,1),(80,1),(99,1)}
        93:{2,6,7}:{(81,1),(83,1)}
        94:{4,6,7}:{(82,1),(83,1),(100,1)}
        95:{1,5,7}:{(84,1),(85,1),(87,1),(101,1)}
        96:{4,5,7}:{(86,1),(87,1),(91,1),(102,1),(103,1)}
        97:{3,6,7}:{(87,1),(88,1),(101,1),(102,1)}
        98:{5,6}:{(90,1),(103,1)}
        99:{4,6,7}:{(90,1),(91,1),(92,1),(103,1)}
       100:{5,6,7}:{(94,1),(103,1)}
       101:{1,6,7}:{(95,1),(97,1)}
       102:{4,6,7}:{(96,1),(97,1),(104,1)}
       103:{5,7}:{(98,1),(99,1)}
       104:{5,6,7}:{(102,1),(103,1)}

 833 :   0:{1,3,5,6,7}:{(1,1),(2,1),(9,1),(11,1),(31,1),(35,1),(99,1)}
         1:{1,2,5,6,7}:{(0,1),(3,1),(4,1),(23,1),(43,1),(51,1),(54,1),(80,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(49,1),(52,1),(117,1)}
         3:{2,3,5,6,7}:{(1,1),(7,1),(9,1),(26,1),(32,1),(60,1),(74,1)}
         4:{1,2,4,6,7}:{(1,1),(2,1),(7,1),(8,1),(9,1),(13,1),(27,1),(33,1),(71,1),(73,1),(98,1)}
         5:{1,4,5,7}:{(2,1),(10,1),(11,1),(129,1)}
         6:{3,4,6,7}:{(2,1),(9,1),(11,1),(13,1),(30,1),(34,1),(128,1)}
         7:{2,4,6,7}:{(3,1),(14,1),(15,1),(50,1),(79,1),(94,1)}
         8:{1,2,4,5,7}:{(4,1),(5,1),(14,1),(16,1),(17,1),(23,1),(43,1),(49,1),(50,1),(51,1)}
         9:{3,6,7}:{(4,1),(17,1),(91,1),(93,1),(116,1)}
        10:{1,4,5,6}:{(5,1),(20,1),(52,1)}
        11:{3,5,7}:{(5,1),(6,1),(20,1),(23,1),(136,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(22,1),(24,1),(49,1),(52,1),(86,1),(91,1),(93,1),(96,1),(125,1)}
        13:{2,4,6,7}:{(6,1),(19,1),(23,1),(50,1),(53,1),(135,1)}
        14:{2,4,5,7}:{(7,1),(25,1),(26,1),(113,1)}
        15:{3,4,6,7}:{(7,1),(9,1),(26,1),(27,1),(30,1),(58,1),(112,1)}
        16:{1,2,4,5,6}:{(8,1),(10,1),(25,1),(29,1),(36,1),(59,1),(66,1),(67,1),(68,1),(73,1),(98,1),(105,1),(113,1),(129,1),(134,1),(139,1)}
        17:{3,5,7}:{(8,1),(9,1),(29,1),(30,1)}
        18:{1,3,6,7}:{(9,1),(27,1),(31,1),(33,1),(97,1),(111,1)}
        19:{2,3,6,7}:{(9,1),(13,1),(32,1),(33,1),(72,1),(127,1)}
        20:{3,5,6}:{(10,1),(11,1),(34,1),(36,1)}
        21:{3,4,5,7}:{(11,1),(30,1),(34,1),(37,1),(38,1),(65,1),(76,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(35,1),(37,1),(39,1),(76,1),(103,1),(134,1)}
        23:{2,5,7}:{(11,1),(13,1),(36,1),(139,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(33,1),(39,1),(40,1),(71,1),(73,1),(77,1),(106,1)}
        25:{2,4,5,6}:{(14,1),(41,1),(79,1)}
        26:{3,5,7}:{(14,1),(15,1),(41,1),(43,1),(126,1)}
        27:{1,4,6,7}:{(15,1),(18,1),(43,1),(49,1),(78,1),(125,1)}
        28:{2,3,4,6,7}:{(15,1),(19,1),(44,1),(45,1),(50,1),(79,1),(87,1),(91,1),(116,1),(119,1),(135,1)}
        29:{3,5,6}:{(16,1),(17,1),(46,1),(93,1),(116,1),(122,1),(126,1),(136,1)}
        30:{3,4,7}:{(17,1),(46,1),(49,1),(50,1),(91,1)}
        31:{1,3,5,7}:{(17,1),(18,1),(43,1),(47,1),(49,1),(51,1),(91,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(23,1),(48,1),(50,1),(51,1),(91,1)}
        33:{1,2,6,7}:{(18,1),(19,1),(51,1),(92,1),(115,1)}
        34:{3,4,6}:{(20,1),(21,1),(52,1),(53,1),(93,1)}
        35:{1,3,5,6}:{(20,1),(22,1),(52,1),(54,1),(93,1)}
        36:{2,5,6}:{(20,1),(23,1),(53,1)}
        37:{1,4,5,7}:{(21,1),(22,1),(49,1),(52,1),(84,1)}
        38:{2,4,5,7}:{(21,1),(23,1),(50,1),(53,1),(55,1),(85,1)}
        39:{1,2,5,7}:{(22,1),(23,1),(24,1),(54,1),(57,1),(120,1)}
        40:{2,3,6,7}:{(24,1),(57,1),(91,1),(93,1),(123,1)}
        41:{3,5,6}:{(25,1),(26,1),(58,1),(59,1)}
        42:{3,4,5,7}:{(26,1),(30,1),(58,1),(61,1),(62,1),(65,1),(101,1)}
        43:{1,5,7}:{(26,1),(27,1),(59,1),(134,1)}
        44:{2,3,5,7}:{(26,1),(28,1),(60,1),(62,1),(63,1),(101,1),(104,1),(139,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(33,1),(63,1),(64,1),(71,1),(98,1),(102,1),(107,1)}
        46:{3,4,6}:{(29,1),(30,1),(65,1),(66,1),(67,1),(108,1),(133,1)}
        47:{1,3,5,6}:{(29,1),(31,1),(59,1),(66,1),(68,1),(97,1),(103,1),(108,1),(111,1),(132,1),(134,1)}
        48:{2,3,5,6}:{(29,1),(32,1),(36,1),(67,1),(68,1),(72,1),(104,1),(108,1),(127,1),(131,1),(139,1)}
        49:{1,4,7}:{(30,1),(31,1),(66,1)}
        50:{2,4,7}:{(30,1),(32,1),(67,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(68,1),(71,1)}
        52:{1,4,6}:{(34,1),(35,1),(37,1)}
        53:{2,4,6}:{(34,1),(36,1),(38,1),(72,1)}
        54:{1,2,5,6}:{(35,1),(36,1),(39,1),(73,1),(74,1),(134,1)}
        55:{2,3,5,7}:{(38,1),(70,1),(72,1),(75,1),(76,1),(104,1)}
        56:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(71,1),(73,1),(75,1),(76,1),(77,1),(105,1),(113,1),(114,1),(134,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(74,1),(76,1),(77,1),(131,1)}
        58:{3,4,6}:{(41,1),(42,1),(78,1),(79,1),(116,1)}
        59:{1,5,6}:{(41,1),(43,1),(78,1)}
        60:{2,3,5,6}:{(41,1),(44,1),(79,1),(80,1),(116,1)}
        61:{1,4,5,7}:{(42,1),(43,1),(49,1),(78,1),(81,1),(84,1)}
        62:{2,4,5,7}:{(42,1),(44,1),(50,1),(79,1),(85,1)}
        63:{1,2,5,7}:{(43,1),(44,1),(45,1),(80,1),(83,1),(121,1)}
        64:{1,3,6,7}:{(45,1),(83,1),(91,1),(116,1),(124,1)}
        65:{3,4,5}:{(46,1),(84,1),(85,1),(122,1),(126,1),(136,1)}
        66:{1,4,6}:{(46,1),(47,1),(49,1),(84,1),(138,1)}
        67:{2,4,6}:{(46,1),(48,1),(50,1),(85,1),(137,1)}
        68:{1,2,5,6}:{(47,1),(48,1),(51,1),(88,1),(92,1),(115,1),(120,1),(121,1)}
        69:{1,3,4,7}:{(49,1),(81,1),(86,1),(89,1),(91,1),(119,1)}
        70:{2,3,4,7}:{(50,1),(55,1),(87,1),(90,1),(91,1),(96,1)}
        71:{1,2,4,7}:{(49,1),(50,1),(51,1),(88,1),(91,1)}
        72:{2,3,6}:{(53,1),(55,1),(92,1),(93,1)}
        73:{1,2,4,6}:{(52,1),(53,1),(54,1),(56,1),(92,1),(93,1),(94,1),(125,1)}
        74:{2,3,5,6}:{(54,1),(57,1),(93,1),(94,1),(126,1)}
        75:{1,2,5,7}:{(55,1),(90,1),(92,1),(95,1),(121,1)}
        76:{3,5,7}:{(56,1),(91,1),(93,1),(96,1),(122,1),(126,1)}
        77:{2,4,7}:{(57,1),(94,1),(96,1),(137,1)}
        78:{1,4,6}:{(58,1),(59,1),(61,1),(97,1)}
        79:{2,4,6}:{(58,1),(60,1),(62,1)}
        80:{1,2,5,6}:{(59,1),(60,1),(63,1),(98,1),(99,1),(139,1)}
        81:{1,3,5,7}:{(61,1),(69,1),(97,1),(100,1),(101,1),(103,1)}
        82:{1,2,4,5,7}:{(61,1),(62,1),(63,1),(71,1),(98,1),(100,1),(101,1),(102,1),(105,1),(129,1),(130,1),(139,1)}
        83:{1,3,5,7}:{(63,1),(64,1),(99,1),(101,1),(102,1),(132,1)}
        84:{1,4,5}:{(65,1),(66,1),(103,1),(134,1)}
        85:{2,4,5}:{(65,1),(67,1),(104,1),(139,1)}
        86:{1,3,4,6}:{(66,1),(69,1),(97,1),(103,1),(106,1),(108,1),(128,1),(133,1)}
        87:{2,3,4,6}:{(67,1),(70,1),(72,1),(104,1),(107,1),(108,1),(112,1),(133,1)}
        88:{1,2,4,6}:{(66,1),(67,1),(68,1),(71,1),(105,1),(108,1)}
        89:{1,2,4,7}:{(69,1),(100,1),(106,1),(109,1),(130,1)}
        90:{1,2,4,7}:{(70,1),(75,1),(107,1),(110,1),(114,1)}
        91:{3,7}:{(71,1),(108,1)}
        92:{1,2,6}:{(72,1),(75,1),(111,1)}
        93:{3,6}:{(73,1),(76,1)}
        94:{2,4,6}:{(74,1),(77,1),(112,1),(113,1)}
        95:{1,3,5,7}:{(75,1),(76,1),(110,1),(111,1),(114,1),(132,1),(134,1)}
        96:{3,4,7}:{(76,1),(77,1),(112,1),(114,1),(133,1)}
        97:{1,3,6}:{(78,1),(81,1),(115,1),(116,1)}
        98:{1,2,4,6}:{(78,1),(79,1),(80,1),(82,1),(115,1),(116,1),(117,1),(135,1)}
        99:{1,3,5,6}:{(80,1),(83,1),(116,1),(117,1),(136,1)}
       100:{1,2,5,7}:{(81,1),(89,1),(115,1),(118,1),(120,1)}
       101:{3,5,7}:{(82,1),(91,1),(116,1),(119,1),(122,1),(136,1)}
       102:{1,4,7}:{(83,1),(117,1),(119,1),(138,1)}
       103:{1,3,5}:{(84,1),(86,1),(120,1),(122,1),(136,1)}
       104:{2,3,5}:{(85,1),(87,1),(121,1),(122,1),(126,1)}
       105:{1,2,4,5}:{(84,1),(85,1),(88,1),(120,1),(121,1),(122,1),(137,1),(138,1)}
       106:{1,2,4,6}:{(86,1),(89,1),(115,1),(120,1),(123,1),(135,1),(137,1)}
       107:{1,2,4,6}:{(87,1),(90,1),(92,1),(121,1),(124,1),(125,1),(138,1)}
       108:{3,6}:{(88,1),(91,1),(122,1)}
       109:{2,3,7}:{(89,1),(91,1),(123,1)}
       110:{1,3,7}:{(90,1),(91,1),(124,1)}
       111:{1,3,6}:{(92,1),(93,1),(95,1),(125,1)}
       112:{3,4,6}:{(93,1),(94,1),(96,1),(125,1),(126,1)}
       113:{2,4,5}:{(94,1),(126,1)}
       114:{1,4,7}:{(95,1),(96,1),(125,1),(138,1)}
       115:{1,2,6}:{(97,1),(100,1),(127,1)}
       116:{3,6}:{(98,1),(101,1)}
       117:{1,4,6}:{(99,1),(102,1),(128,1),(129,1)}
       118:{2,3,5,7}:{(100,1),(101,1),(109,1),(127,1),(130,1),(131,1),(139,1)}
       119:{3,4,7}:{(101,1),(102,1),(128,1),(130,1),(133,1)}
       120:{1,2,5}:{(103,1),(106,1),(131,1),(139,1)}
       121:{1,2,5}:{(104,1),(107,1),(132,1),(134,1)}
       122:{3,5}:{(105,1),(108,1),(133,1)}
       123:{2,3,6}:{(106,1),(108,1),(109,1),(131,1)}
       124:{1,3,6}:{(107,1),(108,1),(110,1),(132,1)}
       125:{1,4,6}:{(111,1),(112,1),(114,1),(134,1)}
       126:{3,5}:{(112,1),(113,1),(134,1)}
       127:{2,3,6}:{(115,1),(116,1),(118,1),(135,1)}
       128:{3,4,6}:{(116,1),(117,1),(119,1),(135,1),(136,1)}
       129:{1,4,5}:{(117,1),(136,1)}
       130:{2,4,7}:{(118,1),(119,1),(135,1),(137,1)}
       131:{2,3,5}:{(120,1),(122,1),(123,1),(137,1)}
       132:{1,3,5}:{(121,1),(122,1),(124,1),(138,1)}
       133:{3,4}:{(122,1),(137,1),(138,1)}
       134:{1,5}:{(125,1),(126,1)}
       135:{2,4,6}:{(127,1),(128,1),(130,1),(139,1)}
       136:{3,5}:{(128,1),(129,1),(139,1)}
       137:{2,4}:{(131,1),(133,1)}
       138:{1,4}:{(132,1),(133,1)}
       139:{2,5}:{(135,1),(136,1)}

 834 :   0:{2,4,5,7}:{(2,1),(3,1),(5,1),(14,1),(21,1),(37,1),(38,1)}
         1:{2,4,6,7}:{(3,1),(4,1),(5,1),(21,1)}
         2:{3,5,7}:{(0,1),(6,1),(7,1),(9,1),(26,1)}
         3:{2,4,6}:{(0,1),(9,1),(10,1),(30,1)}
         4:{3,6,7}:{(1,1),(9,1),(11,1),(12,1)}
         5:{2,5,7}:{(1,1),(10,1),(12,1),(53,1)}
         6:{3,4,7}:{(2,1),(13,1),(14,1),(15,1),(21,1),(34,1),(42,1)}
         7:{1,5,7}:{(2,1),(13,1),(17,1),(36,1)}
         8:{2,3,5,7}:{(2,1),(14,1),(16,1),(18,1),(34,1),(37,1),(60,1)}
         9:{3,6}:{(2,1),(3,1),(17,1)}
        10:{2,5,6}:{(3,1),(5,1),(19,1),(37,1),(64,1)}
        11:{1,6,7}:{(4,1),(17,1),(20,1)}
        12:{3,5,7}:{(4,1),(5,1),(19,1),(20,1),(21,1),(42,1)}
        13:{1,4,7}:{(6,1),(7,1),(22,1),(24,1)}
        14:{2,4,7}:{(6,1),(8,1),(25,1),(53,1),(72,1)}
        15:{3,4,6}:{(6,1),(9,1),(24,1),(25,1),(26,1),(30,1),(47,1),(52,1),(69,1),(72,1)}
        16:{1,2,5,7}:{(7,1),(8,1),(23,1),(27,1),(28,1),(48,1),(65,1)}
        17:{1,6}:{(7,1),(9,1)}
        18:{2,3,6}:{(8,1),(9,1),(25,1),(28,1),(47,1),(90,1)}
        19:{3,5,6}:{(9,1),(10,1),(12,1),(26,1),(29,1),(30,1),(52,1)}
        20:{1,5,7}:{(11,1),(12,1),(29,1),(31,1)}
        21:{4,7}:{(12,1),(30,1)}
        22:{1,3,7}:{(13,1),(32,1),(33,1),(34,1),(42,1)}
        23:{1,2,4,7}:{(13,1),(14,1),(16,1),(32,1),(34,1),(35,1),(39,1),(54,1)}
        24:{1,4,6}:{(13,1),(15,1),(17,1),(33,1),(36,1),(57,1)}
        25:{2,4,6}:{(14,1),(15,1),(18,1),(37,1),(64,1),(80,1)}
        26:{3,5}:{(15,1),(36,1),(37,1),(38,1)}
        27:{1,3,5,7}:{(16,1),(34,1),(39,1),(40,1),(58,1),(60,1),(63,1)}
        28:{1,2,6}:{(16,1),(17,1),(18,1),(40,1),(76,1),(97,1)}
        29:{1,5,6}:{(17,1),(19,1),(20,1),(36,1),(41,1)}
        30:{4,6}:{(19,1),(21,1),(38,1)}
        31:{1,4,7}:{(20,1),(21,1),(41,1),(42,1)}
        32:{1,2,7}:{(22,1),(43,1),(44,1),(53,1),(104,1)}
        33:{1,3,6}:{(22,1),(24,1),(44,1),(45,1),(47,1),(52,1)}
        34:{3,7}:{(23,1),(47,1)}
        35:{1,2,4,6}:{(23,1),(24,1),(25,1),(28,1),(44,1),(47,1),(48,1),(51,1),(66,1),(68,1),(72,1)}
        36:{1,5}:{(24,1),(26,1)}
        37:{2,5}:{(25,1),(26,1)}
        38:{4,5}:{(26,1),(30,1),(72,1)}
        39:{1,4,7}:{(27,1),(46,1),(51,1),(72,1),(104,1)}
        40:{1,3,6}:{(27,1),(28,1),(47,1),(51,1),(70,1),(89,1)}
        41:{1,4,6}:{(29,1),(30,1),(31,1),(49,1),(52,1)}
        42:{3,7}:{(31,1),(52,1),(53,1)}
        43:{2,3,7}:{(32,1),(34,1),(54,1),(55,1),(102,1)}
        44:{1,2,6}:{(32,1),(33,1),(55,1),(56,1),(64,1),(103,1)}
        45:{1,3,5}:{(33,1),(36,1),(56,1),(57,1),(60,1),(61,1),(79,1)}
        46:{3,4,7}:{(34,1),(39,1),(54,1),(58,1),(59,1),(98,1),(102,1)}
        47:{3,6}:{(34,1),(35,1),(60,1),(79,1)}
        48:{1,2,5}:{(35,1),(36,1),(37,1),(60,1),(63,1),(77,1)}
        49:{1,4,5}:{(36,1),(38,1),(41,1),(57,1),(61,1)}
        50:{1,4,5,7}:{(39,1),(58,1),(62,1),(63,1),(83,1),(84,1),(98,1)}
        51:{1,4,6}:{(39,1),(40,1),(59,1),(63,1),(96,1),(103,1)}
        52:{3,6}:{(41,1),(42,1),(61,1),(64,1)}
        53:{2,7}:{(42,1),(64,1)}
        54:{2,4,7}:{(43,1),(46,1),(65,1),(66,1)}
        55:{2,3,6}:{(43,1),(44,1),(47,1),(66,1),(67,1),(100,1)}
        56:{1,2,5}:{(44,1),(45,1),(67,1),(68,1),(73,1),(101,1)}
        57:{1,4}:{(45,1),(69,1),(72,1)}
        58:{3,5,7}:{(46,1),(50,1),(65,1),(70,1),(71,1)}
        59:{3,4,6}:{(46,1),(47,1),(51,1),(66,1),(70,1),(71,1),(72,1),(88,1),(92,1),(100,1)}
        60:{3,5}:{(47,1),(48,1),(72,1)}
        61:{3,5}:{(49,1),(52,1),(69,1),(73,1)}
        62:{1,4,6}:{(50,1),(70,1),(75,1),(92,1)}
        63:{1,5}:{(51,1),(71,1)}
        64:{2,6}:{(52,1),(53,1),(73,1)}
        65:{2,5,7}:{(54,1),(58,1),(76,1),(77,1)}
        66:{2,4,6}:{(54,1),(55,1),(59,1),(76,1),(77,1),(78,1)}
        67:{2,3,5}:{(55,1),(56,1),(60,1),(77,1),(78,1),(79,1),(95,1)}
        68:{1,2,4}:{(56,1),(57,1),(78,1),(79,1),(80,1),(96,1),(97,1)}
        69:{3,4}:{(57,1),(61,1),(79,1),(80,1)}
        70:{3,6}:{(58,1),(62,1),(76,1)}
        71:{3,5}:{(59,1),(63,1),(77,1),(83,1)}
        72:{4}:{(60,1)}
        73:{2,5}:{(61,1),(64,1),(80,1)}
        74:{1,4,6,7}:{(62,1),(81,1),(84,1),(98,1)}
        75:{1,5,6}:{(62,1),(63,1),(82,1),(84,1),(103,1)}
        76:{2,6}:{(65,1),(70,1)}
        77:{2,5}:{(66,1),(71,1)}
        78:{2,4}:{(67,1),(72,1),(88,1)}
        79:{3}:{(68,1)}
        80:{2,4}:{(69,1),(73,1),(90,1)}
        81:{3,6,7}:{(70,1),(74,1),(85,1),(91,1)}
        82:{3,5,6}:{(70,1),(71,1),(75,1),(86,1),(91,1),(92,1),(100,1)}
        83:{4,5}:{(71,1),(72,1),(92,1)}
        84:{1,5,7}:{(74,1),(75,1),(91,1),(104,1)}
        85:{2,6,7}:{(76,1),(81,1),(93,1)}
        86:{2,5,6}:{(76,1),(77,1),(82,1),(93,1),(94,1)}
        87:{2,4,5}:{(77,1),(78,1),(83,1),(94,1),(95,1)}
        88:{3,4}:{(78,1),(79,1),(95,1),(96,1)}
        89:{1,3}:{(79,1),(96,1),(97,1)}
        90:{2,3}:{(79,1),(80,1),(97,1)}
        91:{3,5,7}:{(81,1),(82,1),(84,1),(93,1),(98,1),(102,1)}
        92:{4,6}:{(82,1),(83,1),(98,1)}
        93:{2,5,7}:{(85,1),(86,1),(91,1),(99,1)}
        94:{2,4,6}:{(86,1),(87,1),(92,1),(99,1),(100,1)}
        95:{3,5}:{(87,1),(88,1),(100,1),(101,1)}
        96:{1,4}:{(88,1),(89,1),(101,1)}
        97:{1,2}:{(89,1),(90,1)}
        98:{4,7}:{(91,1),(92,1)}
        99:{2,4,7}:{(93,1),(94,1),(98,1),(102,1)}
       100:{3,6}:{(94,1),(95,1),(102,1),(103,1)}
       101:{1,5}:{(95,1),(96,1),(103,1)}
       102:{3,7}:{(99,1),(100,1),(104,1)}
       103:{1,6}:{(100,1),(101,1),(104,1)}
       104:{1,7}:{(102,1),(103,1)}

 835 :   0:{3,4,6,7}:{(3,1),(4,1),(5,1),(27,1),(28,1),(37,1),(68,1),(71,1),(72,1),(74,1),(125,1)}
         1:{1,3,6,7}:{(3,1),(6,1),(7,1),(28,1),(71,1),(122,1),(126,1)}
         2:{1,3,5,6}:{(7,1),(8,1),(9,1),(25,1),(33,1),(39,1),(69,1),(71,1),(79,1),(126,1),(160,1),(172,1)}
         3:{1,4,6,7}:{(0,1),(1,1),(13,1),(19,1),(46,1),(96,1),(100,1),(146,1)}
         4:{2,4,6,7}:{(0,1),(10,1),(14,1),(44,1),(47,1),(58,1),(99,1),(147,1)}
         5:{3,5,7}:{(0,1),(11,1),(13,1),(14,1),(15,1),(145,1)}
         6:{1,2,6,7}:{(1,1),(17,1),(18,1),(99,1),(144,1),(148,1),(151,1)}
         7:{1,3,5,7}:{(1,1),(2,1),(13,1),(18,1),(19,1),(49,1),(51,1),(57,1)}
         8:{1,2,5,6}:{(2,1),(18,1),(20,1),(21,1),(54,1),(99,1),(108,1),(113,1),(148,1),(151,1),(169,1)}
         9:{1,4,6}:{(2,1),(16,1),(19,1),(22,1),(97,1),(106,1),(174,1)}
        10:{2,3,6,7}:{(4,1),(23,1),(24,1),(28,1),(72,1),(85,1),(127,1)}
        11:{3,5,6}:{(5,1),(25,1),(26,1),(27,1),(71,1),(72,1)}
        12:{1,2,4,6,7}:{(3,1),(4,1),(6,1),(23,1),(28,1),(29,1),(34,1),(36,1),(65,1),(67,1),(70,1),(74,1),(162,1)}
        13:{1,5,7}:{(3,1),(5,1),(25,1),(160,1)}
        14:{2,5,7}:{(4,1),(5,1),(26,1),(161,1)}
        15:{4,5,7}:{(5,1),(27,1),(74,1),(124,1)}
        16:{1,4,5}:{(9,1),(33,1),(124,1),(160,1)}
        17:{2,3,6,7}:{(6,1),(28,1),(34,1),(35,1),(123,1),(127,1),(133,1)}
        18:{1,2,5,7}:{(6,1),(7,1),(8,1),(35,1),(36,1),(76,1),(134,1)}
        19:{1,4,7}:{(7,1),(9,1),(37,1),(74,1)}
        20:{2,3,5,6}:{(8,1),(35,1),(38,1),(39,1),(69,1),(80,1),(81,1),(86,1),(127,1),(133,1),(161,1),(172,1)}
        21:{1,2,4,6}:{(8,1),(9,1),(32,1),(36,1),(38,1),(39,1),(40,1),(87,1),(88,1),(132,1)}
        22:{3,4,6}:{(9,1),(33,1),(37,1),(39,1),(40,1),(71,1),(78,1)}
        23:{1,2,6,7}:{(10,1),(42,1),(43,1),(100,1),(112,1),(148,1),(168,1)}
        24:{2,3,5,7}:{(10,1),(14,1),(41,1),(43,1),(44,1),(49,1),(52,1),(95,1)}
        25:{1,5,6}:{(11,1),(13,1),(46,1),(100,1)}
        26:{2,5,6}:{(11,1),(14,1),(47,1),(99,1)}
        27:{4,6}:{(11,1),(15,1)}
        28:{3,6,7}:{(12,1),(49,1),(57,1),(95,1),(98,1),(170,1)}
        29:{1,2,5,7}:{(12,1),(13,1),(14,1),(45,1),(49,1),(55,1),(93,1),(169,1)}
        30:{1,4,5,7}:{(13,1),(15,1),(16,1),(19,1),(46,1),(51,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(44,1),(47,1),(52,1),(89,1)}
        32:{1,2,4,5}:{(16,1),(21,1),(53,1),(54,1),(59,1),(106,1),(107,1),(108,1),(113,1),(169,1),(174,1)}
        33:{3,5}:{(16,1),(22,1),(54,1)}
        34:{2,4,6,7}:{(17,1),(48,1),(55,1),(56,1),(109,1),(143,1),(147,1),(168,1)}
        35:{2,3,5,7}:{(17,1),(18,1),(20,1),(49,1),(55,1),(56,1),(57,1),(110,1)}
        36:{1,2,4,7}:{(18,1),(19,1),(21,1),(56,1),(57,1),(58,1),(111,1),(112,1)}
        37:{3,4,7}:{(19,1),(22,1),(51,1),(57,1),(58,1)}
        38:{2,4,6}:{(20,1),(56,1),(59,1),(60,1),(97,1),(107,1),(174,1)}
        39:{3,6}:{(21,1),(53,1),(57,1),(150,1)}
        40:{2,4,6}:{(22,1),(54,1),(58,1),(62,1),(99,1),(107,1)}
        41:{2,3,5,6}:{(24,1),(26,1),(63,1),(64,1),(69,1),(72,1),(115,1),(117,1),(127,1),(154,1),(161,1),(172,1)}
        42:{1,3,6,7}:{(23,1),(28,1),(65,1),(66,1),(84,1),(126,1),(158,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(63,1),(66,1),(67,1),(77,1),(159,1)}
        44:{2,4,7}:{(24,1),(64,1),(68,1),(74,1)}
        45:{1,2,5,6}:{(25,1),(26,1),(29,1),(69,1),(70,1),(81,1),(119,1),(160,1),(161,1)}
        46:{1,4,6}:{(25,1),(27,1),(30,1),(71,1)}
        47:{2,4,6}:{(26,1),(27,1),(31,1),(72,1)}
        48:{3,4,6,7}:{(28,1),(34,1),(65,1),(73,1),(74,1),(83,1),(121,1),(125,1),(128,1),(133,1),(158,1)}
        49:{3,5,7}:{(28,1),(29,1),(69,1),(74,1),(172,1)}
        50:{1,2,4,5,7}:{(29,1),(30,1),(31,1),(32,1),(36,1),(67,1),(70,1),(74,1),(75,1),(76,1),(77,1),(82,1),(114,1),(120,1),(124,1),(129,1),(130,1),(131,1),(134,1),(159,1),(160,1),(161,1)}
        51:{3,5,7}:{(30,1),(33,1),(37,1),(71,1),(76,1)}
        52:{3,5,7}:{(31,1),(68,1),(72,1),(77,1),(115,1)}
        53:{3,5}:{(32,1),(39,1),(78,1)}
        54:{2,5}:{(33,1),(40,1)}
        55:{2,5,7}:{(34,1),(73,1),(81,1),(161,1)}
        56:{2,4,7}:{(35,1),(38,1),(74,1),(83,1)}
        57:{3,7}:{(36,1),(39,1)}
        58:{2,4,7}:{(37,1),(40,1),(76,1),(85,1)}
        59:{2,4,5}:{(38,1),(86,1),(124,1),(161,1)}
        60:{3,4,6}:{(38,1),(39,1),(78,1),(83,1),(86,1),(87,1),(133,1)}
        61:{1,3,6}:{(39,1),(79,1),(84,1),(87,1),(88,1)}
        62:{2,3,6}:{(39,1),(40,1),(80,1),(85,1),(88,1)}
        63:{1,2,5,6}:{(41,1),(43,1),(90,1),(91,1),(100,1),(136,1),(148,1),(166,1),(167,1),(168,1),(169,1)}
        64:{2,4,6}:{(41,1),(44,1),(89,1),(92,1),(97,1),(165,1),(174,1)}
        65:{1,4,6,7}:{(42,1),(48,1),(93,1),(94,1),(111,1),(141,1),(146,1),(151,1)}
        66:{1,3,5,7}:{(42,1),(43,1),(49,1),(90,1),(93,1),(94,1),(95,1),(142,1)}
        67:{1,2,4,7}:{(43,1),(44,1),(91,1),(94,1),(95,1),(96,1),(143,1),(144,1)}
        68:{3,4,7}:{(44,1),(52,1),(92,1),(95,1),(96,1)}
        69:{3,5,6}:{(45,1),(49,1),(97,1),(98,1),(145,1)}
        70:{1,2,4,6}:{(45,1),(46,1),(47,1),(50,1),(97,1),(98,1),(99,1),(100,1),(109,1),(141,1),(146,1),(147,1),(148,1),(151,1),(168,1)}
        71:{3,6}:{(46,1),(51,1),(99,1)}
        72:{3,6}:{(47,1),(52,1),(100,1)}
        73:{3,5,7}:{(48,1),(55,1),(93,1),(101,1),(102,1),(145,1)}
        74:{4,7}:{(49,1),(97,1),(174,1)}
        75:{3,5,7}:{(50,1),(53,1),(57,1),(95,1),(98,1),(103,1),(135,1),(145,1)}
        76:{2,5,7}:{(51,1),(54,1),(58,1),(99,1)}
        77:{1,5,7}:{(52,1),(96,1),(100,1),(136,1)}
        78:{3,4}:{(53,1),(106,1),(107,1),(150,1),(174,1)}
        79:{1,3,5}:{(53,1),(61,1),(106,1),(108,1),(113,1),(150,1)}
        80:{2,3,5}:{(53,1),(54,1),(62,1),(107,1),(108,1),(150,1)}
        81:{2,5,6}:{(55,1),(101,1),(109,1),(168,1)}
        82:{2,4,5,7}:{(55,1),(56,1),(59,1),(102,1),(109,1),(110,1)}
        83:{3,4,7}:{(56,1),(57,1),(60,1),(110,1),(111,1)}
        84:{1,3,7}:{(57,1),(61,1),(111,1),(112,1)}
        85:{2,3,7}:{(57,1),(58,1),(62,1),(112,1)}
        86:{3,5}:{(59,1),(60,1),(113,1)}
        87:{1,4,6}:{(60,1),(61,1),(106,1),(111,1),(113,1),(151,1)}
        88:{1,2,6}:{(61,1),(62,1),(108,1),(112,1)}
        89:{2,4,5}:{(64,1),(115,1),(124,1),(161,1)}
        90:{1,3,5,6}:{(63,1),(66,1),(69,1),(116,1),(117,1),(119,1),(126,1),(153,1),(155,1),(158,1),(160,1),(172,1)}
        91:{1,2,4,6}:{(63,1),(64,1),(67,1),(114,1),(116,1),(117,1),(118,1),(156,1),(157,1),(171,1)}
        92:{3,4,6}:{(64,1),(68,1),(72,1),(115,1),(117,1),(118,1),(152,1)}
        93:{1,5,7}:{(65,1),(73,1),(119,1),(160,1)}
        94:{1,4,7}:{(66,1),(74,1),(116,1),(121,1)}
        95:{3,7}:{(67,1),(117,1)}
        96:{1,4,7}:{(68,1),(77,1),(118,1),(122,1)}
        97:{4,6}:{(69,1),(74,1),(124,1)}
        98:{3,6}:{(70,1),(75,1)}
        99:{2,6}:{(71,1),(76,1)}
       100:{1,6}:{(72,1),(77,1)}
       101:{3,5,6}:{(73,1),(81,1),(119,1),(128,1),(133,1),(158,1)}
       102:{4,5,7}:{(73,1),(74,1),(124,1),(128,1)}
       103:{3,4,7}:{(74,1),(75,1),(78,1),(125,1),(129,1),(130,1),(152,1),(163,1)}
       104:{1,3,5,7}:{(75,1),(77,1),(79,1),(84,1),(122,1),(126,1),(129,1),(131,1),(134,1),(153,1),(160,1),(163,1),(172,1)}
       105:{2,3,5,7}:{(75,1),(76,1),(80,1),(85,1),(123,1),(127,1),(130,1),(131,1),(154,1),(159,1),(161,1),(163,1),(172,1)}
       106:{1,4}:{(78,1),(79,1)}
       107:{2,4}:{(78,1),(80,1)}
       108:{1,2,5}:{(79,1),(80,1),(88,1),(132,1)}
       109:{2,4,6}:{(81,1),(82,1),(128,1),(133,1)}
       110:{3,5,7}:{(82,1),(83,1),(86,1),(133,1),(134,1)}
       111:{1,4,7}:{(83,1),(84,1),(87,1),(134,1)}
       112:{1,2,7}:{(84,1),(85,1),(88,1)}
       113:{1,5}:{(86,1),(87,1)}
       114:{1,2,4,5}:{(89,1),(91,1),(135,1),(136,1),(137,1),(164,1),(165,1),(166,1),(167,1),(169,1),(174,1)}
       115:{3,5}:{(89,1),(92,1),(136,1)}
       116:{1,4,6}:{(90,1),(94,1),(97,1),(137,1),(138,1),(164,1),(174,1)}
       117:{3,6}:{(91,1),(95,1),(135,1),(173,1)}
       118:{1,4,6}:{(92,1),(96,1),(100,1),(136,1),(139,1),(164,1)}
       119:{1,5,6}:{(93,1),(101,1),(141,1),(151,1)}
       120:{1,4,5,7}:{(93,1),(94,1),(102,1),(137,1),(141,1),(142,1)}
       121:{3,4,7}:{(94,1),(95,1),(138,1),(142,1),(143,1)}
       122:{1,3,7}:{(95,1),(96,1),(139,1),(144,1)}
       123:{2,3,7}:{(95,1),(140,1),(143,1),(144,1)}
       124:{4,5}:{(97,1),(145,1),(174,1)}
       125:{3,4,6}:{(97,1),(98,1),(103,1),(145,1),(146,1),(147,1),(170,1),(174,1)}
       126:{1,3,6}:{(98,1),(100,1),(104,1),(146,1),(148,1),(151,1),(170,1)}
       127:{2,3,6}:{(98,1),(99,1),(105,1),(147,1),(148,1),(168,1),(170,1)}
       128:{4,6}:{(101,1),(102,1)}
       129:{1,4,7}:{(103,1),(104,1),(106,1),(146,1),(164,1),(174,1)}
       130:{2,4,7}:{(103,1),(105,1),(107,1),(147,1),(165,1),(174,1)}
       131:{1,2,5,7}:{(104,1),(105,1),(108,1),(112,1),(144,1),(148,1),(149,1),(166,1),(169,1)}
       132:{1,2,4}:{(106,1),(107,1),(108,1),(150,1)}
       133:{3,6}:{(109,1),(110,1),(151,1)}
       134:{1,5,7}:{(110,1),(111,1),(113,1),(151,1)}
       135:{3,5}:{(114,1),(117,1),(152,1)}
       136:{1,5}:{(115,1),(118,1)}
       137:{1,4,5}:{(116,1),(124,1),(155,1),(160,1)}
       138:{3,4,6}:{(116,1),(117,1),(121,1),(152,1),(155,1),(156,1),(158,1)}
       139:{1,3,6}:{(117,1),(118,1),(122,1),(153,1),(157,1)}
       140:{2,3,6}:{(117,1),(123,1),(154,1),(156,1),(157,1)}
       141:{1,4,6}:{(119,1),(120,1),(128,1),(158,1)}
       142:{3,5,7}:{(120,1),(121,1),(155,1),(158,1),(159,1)}
       143:{2,4,7}:{(121,1),(123,1),(156,1),(159,1)}
       144:{1,2,7}:{(122,1),(123,1),(157,1)}
       145:{3,5}:{(124,1),(125,1),(160,1),(161,1)}
       146:{1,4,6}:{(125,1),(126,1),(129,1),(160,1)}
       147:{2,4,6}:{(125,1),(127,1),(130,1),(161,1)}
       148:{1,2,6}:{(126,1),(127,1),(131,1)}
       149:{1,2,4,7}:{(129,1),(130,1),(131,1),(132,1),(162,1),(163,1),(171,1)}
       150:{3}:{(132,1)}
       151:{1,6}:{(133,1),(134,1)}
       152:{3,4}:{(135,1),(164,1),(165,1),(173,1),(174,1)}
       153:{1,3,5}:{(135,1),(136,1),(139,1),(164,1),(166,1),(173,1)}
       154:{2,3,5}:{(135,1),(140,1),(165,1),(166,1),(167,1),(173,1)}
       155:{3,5}:{(137,1),(138,1),(167,1)}
       156:{2,4,6}:{(138,1),(140,1),(143,1),(165,1),(167,1),(168,1)}
       157:{1,2,6}:{(139,1),(140,1),(144,1),(166,1)}
       158:{3,6}:{(141,1),(142,1),(168,1)}
       159:{2,5,7}:{(142,1),(143,1),(167,1),(168,1)}
       160:{1,5}:{(145,1),(146,1)}
       161:{2,5}:{(145,1),(147,1)}
       162:{1,2,4,6}:{(146,1),(147,1),(148,1),(149,1),(169,1),(170,1),(174,1)}
       163:{3,7}:{(149,1),(150,1),(170,1),(173,1)}
       164:{1,4}:{(152,1),(153,1)}
       165:{2,4}:{(152,1),(154,1)}
       166:{1,2,5}:{(153,1),(154,1),(157,1),(171,1)}
       167:{2,5}:{(155,1),(156,1)}
       168:{2,6}:{(158,1),(159,1)}
       169:{1,2,5}:{(160,1),(161,1),(162,1),(172,1)}
       170:{3,6}:{(162,1),(163,1),(172,1)}
       171:{1,2,4}:{(164,1),(165,1),(166,1),(173,1)}
       172:{3,5}:{(169,1),(170,1),(174,1)}
       173:{3}:{(171,1)}
       174:{4}:{(172,1)}

 836 :   0:{1,2,4,5,6}:{(1,1),(2,1),(13,1),(14,1),(16,1),(38,1),(77,1),(78,1),(79,1),(80,1),(98,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(4,1),(7,1),(57,1),(90,1),(101,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(30,1),(31,1),(33,1),(69,1),(70,1),(71,1)}
         3:{1,3,4,6}:{(10,1),(11,1),(12,1),(13,1),(44,1),(48,1),(75,1),(96,1)}
         4:{3,4,6}:{(1,1),(9,1),(13,1),(14,1),(15,1),(48,1),(75,1)}
         5:{1,3,5,6}:{(1,1),(10,1),(13,1),(16,1),(17,1),(44,1),(48,1),(72,1),(78,1),(95,1),(97,1),(103,1)}
         6:{2,3,5,6}:{(1,1),(14,1),(16,1),(18,1),(37,1),(42,1),(48,1),(74,1),(79,1),(82,1),(97,1),(98,1)}
         7:{3,5,7}:{(1,1),(2,1),(15,1),(19,1)}
         8:{1,2,4,6,7}:{(2,1),(19,1),(20,1),(50,1),(51,1),(53,1),(54,1),(77,1)}
         9:{3,4,5}:{(4,1),(21,1),(22,1),(57,1),(101,1)}
        10:{1,3,5}:{(3,1),(21,1),(24,1),(57,1),(101,1)}
        11:{1,2,4,6}:{(3,1),(24,1),(26,1),(27,1),(62,1),(64,1),(92,1)}
        12:{1,3,4,7}:{(3,1),(25,1),(27,1),(30,1),(67,1),(89,1)}
        13:{1,4,6}:{(4,1),(5,1),(21,1),(30,1),(86,1),(102,1)}
        14:{2,4,6}:{(4,1),(6,1),(22,1),(31,1),(62,1),(102,1)}
        15:{3,4,7}:{(4,1),(7,1),(30,1),(31,1),(67,1)}
        16:{1,2,5,6}:{(5,1),(6,1),(24,1),(29,1),(33,1),(55,1),(64,1),(88,1)}
        17:{1,3,5,7}:{(5,1),(7,1),(30,1),(33,1),(34,1),(67,1),(69,1),(93,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(31,1),(33,1),(35,1),(67,1),(70,1),(93,1)}
        19:{3,6,7}:{(7,1),(8,1),(90,1)}
        20:{1,2,5,6,7}:{(8,1),(36,1),(69,1),(70,1),(91,1)}
        21:{1,4,5}:{(9,1),(10,1),(13,1),(103,1),(104,1)}
        22:{2,4,5}:{(9,1),(14,1),(37,1),(98,1),(104,1)}
        23:{3,4,5,7}:{(9,1),(15,1),(39,1),(40,1),(41,1),(52,1),(76,1),(99,1),(104,1)}
        24:{1,2,5}:{(10,1),(11,1),(42,1),(98,1)}
        25:{1,3,5,7}:{(10,1),(12,1),(39,1),(43,1),(44,1),(76,1)}
        26:{2,3,6}:{(11,1),(42,1),(45,1),(48,1)}
        27:{1,2,4,7}:{(11,1),(12,1),(43,1),(45,1),(81,1)}
        28:{2,3,4,6}:{(14,1),(37,1),(46,1),(47,1),(48,1),(74,1),(75,1),(96,1)}
        29:{1,2,4,6}:{(13,1),(14,1),(16,1),(38,1),(48,1),(49,1)}
        30:{1,4,7}:{(13,1),(15,1),(17,1),(99,1)}
        31:{2,4,7}:{(14,1),(15,1),(18,1),(99,1)}
        32:{3,4,6,7}:{(15,1),(19,1),(41,1),(50,1),(51,1),(52,1),(54,1),(84,1),(96,1),(99,1)}
        33:{1,2,5,7}:{(16,1),(17,1),(18,1),(49,1),(53,1)}
        34:{1,3,6,7}:{(17,1),(19,1),(44,1),(50,1),(53,1),(84,1),(95,1)}
        35:{2,3,6,7}:{(18,1),(19,1),(51,1),(53,1),(74,1),(82,1),(84,1)}
        36:{3,5,6,7}:{(19,1),(20,1),(52,1),(54,1),(97,1)}
        37:{2,3,5}:{(22,1),(28,1),(55,1),(57,1),(101,1)}
        38:{1,2,4,5}:{(21,1),(22,1),(24,1),(29,1),(55,1),(57,1),(62,1),(86,1)}
        39:{1,4,5,7}:{(21,1),(23,1),(25,1),(30,1),(59,1),(69,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(31,1),(56,1),(60,1),(70,1)}
        41:{3,4,6}:{(23,1),(59,1),(60,1),(61,1),(90,1),(102,1)}
        42:{2,3,5}:{(24,1),(26,1),(57,1),(62,1)}
        43:{1,2,5,7}:{(24,1),(25,1),(27,1),(63,1),(64,1)}
        44:{1,3,6}:{(25,1),(59,1),(64,1),(90,1)}
        45:{2,3,7}:{(26,1),(27,1),(67,1)}
        46:{1,2,4,6}:{(28,1),(55,1),(65,1),(66,1),(86,1),(88,1),(100,1)}
        47:{2,3,4,7}:{(28,1),(31,1),(56,1),(66,1),(67,1),(89,1)}
        48:{3,6}:{(29,1),(57,1),(67,1)}
        49:{1,2,4,7}:{(29,1),(30,1),(31,1),(33,1),(67,1)}
        50:{1,4,6,7}:{(30,1),(32,1),(34,1),(59,1),(69,1),(100,1)}
        51:{2,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1),(92,1)}
        52:{3,5,7}:{(32,1),(61,1),(69,1),(70,1),(71,1),(101,1)}
        53:{1,2,6,7}:{(33,1),(34,1),(35,1),(64,1),(88,1)}
        54:{4,6,7}:{(36,1),(71,1),(102,1)}
        55:{1,2,5}:{(37,1),(46,1),(72,1),(103,1)}
        56:{2,3,5,7}:{(37,1),(40,1),(47,1),(73,1),(74,1),(76,1)}
        57:{3,5}:{(38,1),(48,1),(75,1)}
        58:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(49,1),(73,1),(76,1),(77,1),(81,1),(85,1),(94,1),(98,1),(99,1),(103,1),(104,1)}
        59:{1,4,6}:{(39,1),(41,1),(44,1),(78,1)}
        60:{2,4,6}:{(40,1),(41,1),(74,1),(79,1)}
        61:{3,5,6}:{(41,1),(52,1),(78,1),(79,1),(80,1)}
        62:{2,4}:{(42,1),(75,1)}
        63:{2,3,5,7}:{(42,1),(43,1),(45,1),(76,1),(81,1),(82,1),(98,1)}
        64:{1,2,6}:{(43,1),(44,1),(82,1)}
        65:{1,3,6}:{(46,1),(48,1),(72,1),(83,1)}
        66:{1,2,4,7}:{(46,1),(47,1),(73,1),(83,1),(94,1)}
        67:{3,7}:{(48,1),(49,1)}
        68:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(53,1),(77,1),(84,1),(85,1),(99,1)}
        69:{1,5,7}:{(50,1),(52,1),(78,1),(103,1)}
        70:{2,5,7}:{(51,1),(52,1),(79,1),(98,1)}
        71:{4,5,7}:{(52,1),(54,1),(80,1),(99,1),(104,1)}
        72:{1,3,5}:{(55,1),(57,1),(65,1),(86,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(66,1),(87,1),(88,1)}
        74:{2,3,6}:{(56,1),(60,1),(88,1),(90,1)}
        75:{3,4}:{(57,1),(62,1),(86,1)}
        76:{3,5,7}:{(57,1),(58,1),(67,1),(89,1),(90,1),(101,1)}
        77:{1,2,4,6}:{(58,1),(59,1),(60,1),(64,1),(88,1),(90,1),(91,1),(92,1),(100,1),(102,1)}
        78:{1,5,6}:{(59,1),(61,1),(69,1)}
        79:{2,5,6}:{(60,1),(61,1),(70,1)}
        80:{4,5,6}:{(61,1),(71,1),(102,1)}
        81:{2,4,7}:{(62,1),(63,1),(89,1),(92,1)}
        82:{2,3,6}:{(63,1),(64,1),(90,1),(92,1)}
        83:{1,3,7}:{(65,1),(66,1),(67,1)}
        84:{3,6,7}:{(67,1),(68,1),(90,1),(93,1)}
        85:{1,2,5,7}:{(68,1),(69,1),(70,1),(91,1),(93,1)}
        86:{1,4}:{(72,1),(75,1)}
        87:{1,3,5,7}:{(72,1),(73,1),(76,1),(83,1),(94,1),(95,1),(103,1)}
        88:{1,2,6}:{(73,1),(74,1),(95,1)}
        89:{3,4,7}:{(75,1),(76,1),(81,1),(94,1),(96,1),(99,1)}
        90:{3,6}:{(76,1),(77,1)}
        91:{1,2,5,6}:{(77,1),(78,1),(79,1),(85,1),(97,1),(98,1),(103,1)}
        92:{2,4,6}:{(81,1),(82,1),(96,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(97,1),(99,1)}
        94:{1,4,7}:{(86,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(87,1),(88,1),(90,1),(100,1)}
        96:{3,4,6}:{(89,1),(90,1),(92,1),(100,1),(101,1),(102,1)}
        97:{3,5,6}:{(90,1),(91,1),(93,1),(101,1),(102,1)}
        98:{2,5}:{(92,1),(101,1)}
        99:{4,7}:{(93,1),(102,1)}
       100:{1,4,6}:{(94,1),(95,1),(96,1),(103,1)}
       101:{3,5}:{(96,1),(98,1),(103,1),(104,1)}
       102:{4,6}:{(97,1),(99,1),(104,1)}
       103:{1,5}:{(100,1),(101,1)}
       104:{4,5}:{(101,1),(102,1)}

 837 :   0:{1,4,5,6}:{(2,1),(3,1),(18,1),(43,1),(95,1)}
         1:{1,5,6,7}:{(5,1),(7,1),(77,1),(81,1)}
         2:{1,4,5,7}:{(0,1),(7,1),(8,1),(33,1),(35,1),(81,1)}
         3:{3,5,6}:{(0,1),(6,1),(8,1),(10,1)}
         4:{1,3,4,6}:{(12,1),(13,1),(14,1),(18,1),(48,1),(60,1),(99,1),(107,1),(148,1)}
         5:{3,5,6,7}:{(1,1),(15,1),(16,1),(20,1),(53,1),(56,1)}
         6:{3,4,6}:{(3,1),(11,1),(17,1),(18,1),(19,1),(60,1)}
         7:{1,4,6,7}:{(1,1),(2,1),(16,1),(20,1)}
         8:{3,5,7}:{(2,1),(3,1),(17,1),(20,1),(22,1)}
         9:{1,3,5,6}:{(3,1),(12,1),(18,1),(21,1),(23,1),(48,1),(60,1),(95,1),(147,1)}
        10:{2,5,6}:{(3,1),(19,1),(22,1)}
        11:{3,4,5}:{(6,1),(25,1),(26,1),(72,1)}
        12:{1,3,5}:{(4,1),(25,1),(28,1),(72,1),(132,1),(168,1)}
        13:{1,3,4,7}:{(4,1),(27,1),(29,1),(35,1),(84,1),(125,1),(131,1),(189,1)}
        14:{1,2,4,6}:{(4,1),(28,1),(29,1),(30,1),(73,1),(75,1),(126,1)}
        15:{2,5,6,7}:{(5,1),(31,1),(39,1),(82,1)}
        16:{4,6,7}:{(5,1),(33,1)}
        17:{3,4,7}:{(6,1),(8,1),(35,1),(36,1),(84,1)}
        18:{1,4,6}:{(6,1),(9,1),(25,1),(35,1),(167,1)}
        19:{2,4,6}:{(6,1),(10,1),(26,1),(32,1),(36,1)}
        20:{3,6,7}:{(7,1),(8,1),(39,1)}
        21:{1,3,5,7}:{(8,1),(9,1),(35,1),(38,1),(40,1),(81,1),(84,1),(133,1)}
        22:{2,5,7}:{(8,1),(10,1),(36,1),(39,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(28,1),(37,1),(40,1),(41,1),(73,1),(132,1),(173,1)}
        24:{3,4,5,7}:{(11,1),(17,1),(44,1),(45,1),(46,1),(56,1),(98,1),(102,1),(138,1),(155,1),(183,1)}
        25:{1,4,5}:{(11,1),(12,1),(18,1),(183,1)}
        26:{2,4,5}:{(11,1),(19,1),(42,1)}
        27:{1,3,5,7}:{(12,1),(13,1),(45,1),(48,1),(49,1),(98,1),(150,1),(154,1),(176,1)}
        28:{1,2,5}:{(12,1),(14,1),(50,1),(149,1)}
        29:{1,2,4,7}:{(13,1),(14,1),(49,1),(51,1),(101,1),(199,1)}
        30:{2,3,6}:{(14,1),(50,1),(51,1),(60,1)}
        31:{2,4,6,7}:{(15,1),(16,1),(52,1),(53,1)}
        32:{2,3,6}:{(19,1),(42,1),(54,1),(55,1),(60,1)}
        33:{4,5,7}:{(16,1),(43,1),(56,1),(155,1)}
        34:{3,4,6,7}:{(16,1),(17,1),(20,1),(44,1),(53,1),(56,1),(57,1),(58,1),(102,1),(109,1),(155,1)}
        35:{1,4,7}:{(17,1),(18,1),(21,1),(155,1)}
        36:{2,4,7}:{(17,1),(19,1),(22,1),(54,1)}
        37:{1,2,4,6}:{(18,1),(19,1),(23,1),(47,1),(55,1),(59,1),(60,1),(63,1),(107,1)}
        38:{1,3,6,7}:{(20,1),(21,1),(48,1),(57,1),(61,1),(109,1),(150,1)}
        39:{2,6,7}:{(20,1),(22,1)}
        40:{1,2,5,7}:{(21,1),(22,1),(23,1),(59,1),(61,1),(62,1),(154,1)}
        41:{2,3,5,6}:{(23,1),(50,1),(60,1),(62,1),(63,1),(100,1),(111,1),(147,1),(149,1),(157,1),(158,1)}
        42:{2,3,5}:{(26,1),(32,1),(64,1),(67,1),(72,1)}
        43:{4,5,6}:{(33,1),(68,1),(167,1)}
        44:{3,4,6}:{(24,1),(68,1),(69,1),(70,1),(124,1),(167,1)}
        45:{1,4,5,7}:{(24,1),(25,1),(27,1),(35,1),(69,1),(81,1),(127,1),(159,1)}
        46:{2,4,5,7}:{(24,1),(26,1),(36,1),(66,1),(70,1),(82,1),(128,1),(160,1)}
        47:{1,2,4,5}:{(25,1),(26,1),(28,1),(37,1),(67,1),(72,1),(75,1),(88,1),(122,1),(132,1)}
        48:{1,3,6}:{(27,1),(69,1),(73,1),(124,1),(173,1)}
        49:{1,2,5,7}:{(27,1),(28,1),(29,1),(73,1),(74,1),(169,1),(190,1)}
        50:{2,3,5}:{(28,1),(30,1),(72,1),(75,1)}
        51:{2,3,7}:{(29,1),(30,1),(84,1),(206,1)}
        52:{2,4,5,7}:{(31,1),(33,1),(65,1),(76,1),(82,1),(128,1)}
        53:{3,6,7}:{(31,1),(76,1),(77,1)}
        54:{2,3,7}:{(32,1),(36,1),(79,1),(84,1)}
        55:{1,2,6}:{(32,1),(67,1),(79,1),(80,1)}
        56:{3,5,7}:{(33,1),(34,1),(68,1),(81,1),(82,1)}
        57:{1,4,6,7}:{(34,1),(35,1),(38,1),(69,1),(77,1),(81,1),(127,1)}
        58:{2,4,6,7}:{(34,1),(36,1),(39,1),(70,1),(78,1),(82,1),(128,1)}
        59:{1,2,4,7}:{(35,1),(36,1),(37,1),(40,1),(79,1),(84,1),(87,1),(131,1)}
        60:{3,6}:{(37,1),(72,1),(84,1)}
        61:{1,2,6,7}:{(38,1),(39,1),(40,1),(73,1),(86,1),(169,1),(173,1)}
        62:{2,3,5,7}:{(40,1),(41,1),(84,1),(86,1),(87,1),(133,1),(135,1),(136,1)}
        63:{2,4,6}:{(41,1),(75,1),(85,1),(87,1),(88,1),(167,1)}
        64:{2,3,4}:{(42,1),(90,1),(99,1)}
        65:{2,4,5,6}:{(43,1),(52,1),(91,1),(96,1),(143,1)}
        66:{2,3,5,7}:{(42,1),(46,1),(54,1),(89,1),(92,1),(93,1),(98,1),(139,1),(204,1)}
        67:{1,2,5}:{(42,1),(55,1),(90,1),(94,1)}
        68:{3,5,6}:{(43,1),(44,1),(56,1),(95,1),(96,1)}
        69:{1,4,6}:{(44,1),(45,1),(48,1),(95,1)}
        70:{2,4,6}:{(44,1),(46,1),(92,1),(96,1)}
        71:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(49,1),(59,1),(93,1),(97,1),(98,1),(101,1),(108,1),(113,1),(146,1),(149,1),(151,1),(154,1),(155,1),(177,1),(182,1),(183,1),(186,1),(204,1)}
        72:{3,5}:{(47,1),(60,1),(99,1)}
        73:{1,2,6}:{(48,1),(49,1),(100,1)}
        74:{2,3,5,7}:{(49,1),(50,1),(51,1),(98,1),(100,1),(101,1),(149,1),(184,1),(200,1),(204,1)}
        75:{2,4}:{(50,1),(99,1)}
        76:{3,5,7}:{(52,1),(53,1),(91,1),(102,1),(103,1)}
        77:{1,6,7}:{(53,1),(103,1)}
        78:{2,3,6,7}:{(53,1),(54,1),(58,1),(92,1),(104,1),(105,1),(109,1)}
        79:{1,2,7}:{(54,1),(55,1),(106,1)}
        80:{1,3,6}:{(55,1),(60,1),(94,1),(106,1),(107,1)}
        81:{1,5,7}:{(56,1),(57,1),(95,1)}
        82:{2,5,7}:{(56,1),(58,1),(96,1)}
        83:{1,2,4,6,7}:{(57,1),(58,1),(59,1),(61,1),(97,1),(105,1),(108,1),(109,1),(112,1),(151,1),(153,1),(155,1)}
        84:{3,7}:{(59,1),(60,1)}
        85:{3,4,6}:{(60,1),(63,1),(99,1),(107,1),(110,1),(111,1),(157,1)}
        86:{2,3,6,7}:{(61,1),(62,1),(100,1),(109,1),(112,1),(157,1),(184,1)}
        87:{2,4,7}:{(62,1),(63,1),(110,1),(155,1)}
        88:{2,4,5}:{(63,1),(111,1),(149,1),(183,1)}
        89:{2,3,4,7}:{(64,1),(66,1),(114,1),(115,1),(125,1),(128,1),(170,1),(196,1)}
        90:{1,2,4}:{(64,1),(67,1),(116,1),(122,1)}
        91:{3,5,6}:{(65,1),(76,1),(117,1),(118,1)}
        92:{2,3,6}:{(66,1),(70,1),(120,1),(124,1),(209,1)}
        93:{1,2,5,7}:{(66,1),(67,1),(79,1),(115,1),(120,1),(121,1),(161,1)}
        94:{1,3,5}:{(67,1),(72,1),(80,1),(116,1),(122,1),(132,1)}
        95:{1,5,6}:{(68,1),(69,1),(81,1)}
        96:{2,5,6}:{(68,1),(70,1),(82,1)}
        97:{1,2,4,6}:{(69,1),(70,1),(71,1),(73,1),(120,1),(123,1),(124,1),(126,1),(137,1),(166,1),(167,1),(173,1),(198,1),(209,1)}
        98:{3,5,7}:{(71,1),(72,1),(84,1),(124,1),(125,1),(168,1),(170,1),(191,1)}
        99:{3,4}:{(72,1),(75,1),(122,1)}
       100:{2,3,6}:{(73,1),(74,1),(124,1),(126,1),(209,1)}
       101:{2,4,7}:{(74,1),(75,1),(125,1),(126,1),(207,1)}
       102:{3,4,7}:{(76,1),(117,1),(127,1),(128,1),(170,1)}
       103:{1,5,7}:{(76,1),(77,1),(118,1),(127,1)}
       104:{2,3,5,7}:{(76,1),(78,1),(82,1),(119,1),(128,1),(129,1),(133,1),(170,1)}
       105:{1,2,6,7}:{(77,1),(78,1),(79,1),(120,1),(129,1),(130,1),(209,1)}
       106:{1,3,7}:{(79,1),(80,1),(84,1),(131,1)}
       107:{1,4,6}:{(80,1),(85,1),(122,1),(131,1),(132,1),(173,1)}
       108:{1,2,5,7}:{(81,1),(82,1),(83,1),(123,1),(133,1),(136,1),(172,1)}
       109:{3,6,7}:{(83,1),(84,1),(124,1),(133,1),(170,1)}
       110:{3,4,7}:{(84,1),(85,1),(87,1),(131,1),(135,1)}
       111:{3,5}:{(85,1),(88,1),(132,1)}
       112:{2,4,6,7}:{(86,1),(87,1),(126,1),(134,1),(136,1),(137,1),(196,1),(209,1)}
       113:{2,4,5,7}:{(87,1),(88,1),(135,1),(136,1),(137,1),(174,1)}
       114:{2,3,4,6}:{(89,1),(92,1),(139,1),(140,1),(143,1),(148,1),(180,1),(201,1),(202,1)}
       115:{1,2,4,7}:{(89,1),(90,1),(93,1),(140,1),(141,1),(146,1)}
       116:{1,3}:{(90,1)}
       117:{3,4,6}:{(91,1),(102,1),(138,1),(142,1),(143,1),(180,1)}
       118:{1,5,6}:{(91,1),(103,1),(142,1)}
       119:{2,3,5,6}:{(91,1),(92,1),(96,1),(104,1),(139,1),(143,1),(144,1),(147,1),(180,1)}
       120:{1,2,6}:{(92,1),(93,1),(145,1)}
       121:{1,3,5,7}:{(93,1),(94,1),(98,1),(106,1),(141,1),(145,1),(146,1),(154,1),(178,1),(182,1)}
       122:{1,4}:{(94,1),(99,1)}
       123:{1,2,5,6}:{(95,1),(96,1),(97,1),(108,1),(147,1),(149,1),(158,1),(182,1),(187,1)}
       124:{3,6}:{(97,1),(98,1)}
       125:{3,4,7}:{(98,1),(99,1),(101,1),(146,1),(148,1),(155,1),(201,1)}
       126:{2,4,6}:{(100,1),(101,1),(148,1),(149,1)}
       127:{1,4,7}:{(102,1),(103,1),(142,1),(150,1)}
       128:{2,4,7}:{(102,1),(104,1),(143,1),(155,1)}
       129:{1,2,5,7}:{(103,1),(104,1),(105,1),(144,1),(151,1),(152,1),(204,1)}
       130:{1,3,6,7}:{(105,1),(106,1),(109,1),(145,1),(152,1),(153,1),(205,1)}
       131:{1,4,7}:{(106,1),(107,1),(110,1),(154,1)}
       132:{1,5}:{(107,1),(111,1)}
       133:{3,5,7}:{(108,1),(109,1),(147,1),(155,1)}
       134:{3,4,6,7}:{(109,1),(110,1),(112,1),(148,1),(153,1),(155,1),(156,1),(157,1),(185,1),(188,1),(205,1)}
       135:{3,5,7}:{(110,1),(111,1),(113,1),(154,1),(157,1)}
       136:{2,5,7}:{(112,1),(149,1),(156,1),(158,1)}
       137:{2,4,6}:{(113,1),(157,1),(158,1),(188,1)}
       138:{3,4,5}:{(117,1),(159,1),(160,1),(191,1)}
       139:{2,3,5}:{(114,1),(160,1),(161,1),(168,1),(191,1),(208,1)}
       140:{1,2,4,6}:{(114,1),(115,1),(120,1),(161,1),(162,1),(166,1),(192,1)}
       141:{1,3,7}:{(115,1),(116,1),(162,1),(170,1)}
       142:{1,4,6}:{(117,1),(118,1),(127,1),(159,1),(163,1)}
       143:{2,4,6}:{(117,1),(119,1),(128,1),(160,1),(167,1)}
       144:{1,2,5,6}:{(118,1),(119,1),(120,1),(129,1),(161,1),(164,1),(165,1),(208,1),(209,1)}
       145:{1,3,6}:{(120,1),(121,1),(124,1),(166,1),(173,1)}
       146:{1,4,7}:{(121,1),(122,1),(125,1),(166,1),(192,1)}
       147:{3,5,6}:{(123,1),(124,1),(133,1),(167,1),(168,1)}
       148:{3,4,6}:{(124,1),(125,1),(126,1),(166,1),(167,1),(168,1)}
       149:{2,5}:{(126,1),(168,1)}
       150:{1,3,7}:{(127,1),(163,1),(169,1),(170,1)}
       151:{1,2,4,7}:{(127,1),(128,1),(129,1),(164,1),(169,1),(170,1),(171,1),(196,1)}
       152:{1,3,5,7}:{(129,1),(130,1),(133,1),(165,1),(170,1),(171,1),(172,1),(197,1)}
       153:{1,4,6,7}:{(130,1),(131,1),(134,1),(166,1),(171,1),(172,1),(173,1),(198,1)}
       154:{1,5,7}:{(131,1),(132,1),(135,1),(173,1)}
       155:{4,7}:{(133,1),(167,1)}
       156:{3,5,7}:{(134,1),(136,1),(168,1),(172,1),(174,1),(175,1)}
       157:{3,6}:{(135,1),(137,1),(173,1)}
       158:{2,5,6}:{(136,1),(137,1),(175,1),(209,1)}
       159:{1,4,5}:{(138,1),(142,1),(176,1)}
       160:{2,4,5}:{(138,1),(139,1),(143,1),(183,1)}
       161:{1,2,5}:{(139,1),(140,1),(178,1),(182,1)}
       162:{1,3,6}:{(140,1),(141,1),(178,1),(180,1)}
       163:{1,3,6}:{(142,1),(150,1),(176,1),(179,1),(180,1)}
       164:{1,2,4,6}:{(142,1),(143,1),(144,1),(151,1),(177,1),(179,1),(180,1),(181,1),(202,1)}
       165:{1,3,5,6}:{(144,1),(145,1),(147,1),(152,1),(178,1),(180,1),(181,1),(182,1),(187,1),(203,1),(205,1)}
       166:{1,4,6}:{(145,1),(146,1),(148,1),(182,1)}
       167:{4,6}:{(147,1),(155,1),(183,1)}
       168:{3,5}:{(148,1),(149,1),(182,1),(183,1)}
       169:{1,2,7}:{(150,1),(179,1),(184,1)}
       170:{3,7}:{(151,1),(180,1)}
       171:{1,4,7}:{(152,1),(155,1),(181,1),(185,1)}
       172:{1,5,7}:{(153,1),(156,1),(182,1),(187,1)}
       173:{1,6}:{(154,1),(157,1)}
       174:{4,5,7}:{(155,1),(156,1),(183,1),(188,1)}
       175:{3,5,6}:{(156,1),(157,1),(158,1),(187,1),(188,1),(205,1)}
       176:{1,3,5}:{(159,1),(163,1),(189,1),(190,1),(191,1)}
       177:{1,2,4,5}:{(159,1),(160,1),(161,1),(164,1),(190,1),(191,1),(192,1),(195,1),(207,1),(208,1)}
       178:{1,3,5}:{(161,1),(162,1),(191,1),(192,1)}
       179:{1,2,6}:{(163,1),(169,1),(190,1),(193,1)}
       180:{3,6}:{(164,1),(170,1),(191,1)}
       181:{1,4,6}:{(165,1),(167,1),(171,1),(192,1),(194,1),(195,1)}
       182:{1,5}:{(166,1),(168,1)}
       183:{4,5}:{(167,1),(168,1)}
       184:{2,3,7}:{(169,1),(170,1),(193,1),(196,1)}
       185:{3,4,7}:{(170,1),(171,1),(194,1),(196,1),(197,1)}
       186:{1,4,5,7}:{(171,1),(172,1),(174,1),(195,1),(197,1),(198,1)}
       187:{1,5,6}:{(172,1),(173,1),(175,1),(198,1)}
       188:{4,6}:{(174,1),(175,1)}
       189:{1,3,4}:{(176,1),(199,1),(201,1)}
       190:{1,2,5}:{(176,1),(179,1),(199,1),(200,1)}
       191:{3,5}:{(177,1),(180,1),(201,1)}
       192:{1,4}:{(178,1),(201,1)}
       193:{2,3,6}:{(179,1),(180,1),(184,1),(200,1),(202,1)}
       194:{3,4,6}:{(180,1),(181,1),(185,1),(201,1),(202,1),(203,1),(205,1)}
       195:{1,4,5}:{(181,1),(182,1),(183,1),(203,1)}
       196:{2,4,7}:{(184,1),(185,1),(202,1),(204,1)}
       197:{3,5,7}:{(185,1),(186,1),(203,1),(204,1),(205,1)}
       198:{1,4,6}:{(186,1),(187,1),(188,1),(205,1)}
       199:{1,2,4}:{(189,1),(190,1),(206,1),(207,1)}
       200:{2,3,5}:{(190,1),(191,1),(193,1),(206,1),(207,1),(208,1)}
       201:{3,4}:{(191,1),(192,1),(207,1)}
       202:{2,4,6}:{(193,1),(194,1),(196,1),(207,1),(208,1),(209,1)}
       203:{3,5}:{(194,1),(195,1),(208,1)}
       204:{2,5,7}:{(196,1),(197,1),(208,1),(209,1)}
       205:{3,6}:{(197,1),(198,1),(209,1)}
       206:{2,3}:{(199,1)}
       207:{2,4}:{(200,1),(201,1)}
       208:{2,5}:{(202,1),(203,1)}
       209:{2,6}:{(204,1),(205,1)}

 838 :   0:{2,3,4,5,7}:{(1,1),(2,1),(9,1),(25,1),(64,1),(77,1),(82,1),(115,1),(121,1),(135,1)}
         1:{1,2,4,5,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(46,1),(53,1),(58,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(59,1),(142,1),(149,1),(162,1)}
         3:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(31,1),(73,1),(77,1),(131,1)}
         4:{1,3,5,7}:{(1,1),(10,1),(11,1),(37,1),(121,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(38,1)}
         6:{2,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(39,1),(64,1),(184,1)}
         7:{1,2,3,5,7}:{(4,1),(14,1),(15,1),(41,1),(46,1)}
         8:{1,2,4,6,7}:{(3,1),(5,1),(17,1),(18,1),(53,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(18,1),(19,1),(54,1),(160,1)}
        10:{1,3,4,7}:{(4,1),(14,1),(21,1),(53,1),(92,1)}
        11:{1,3,6}:{(4,1),(5,1),(149,1)}
        12:{1,2,5,6}:{(5,1),(6,1),(18,1),(22,1),(46,1)}
        13:{2,4,5,6}:{(6,1),(19,1),(24,1),(89,1),(142,1)}
        14:{1,2,4,7}:{(7,1),(10,1),(25,1),(28,1)}
        15:{1,2,3,6}:{(7,1),(11,1),(28,1),(63,1)}
        16:{2,3,5,6,7}:{(9,1),(30,1),(31,1),(71,1),(73,1),(114,1)}
        17:{1,3,6,7}:{(8,1),(11,1),(33,1),(73,1)}
        18:{1,2,5,7}:{(8,1),(9,1),(12,1),(33,1)}
        19:{2,4,5,7}:{(9,1),(13,1),(31,1),(35,1)}
        20:{1,3,4,5,7}:{(10,1),(27,1),(36,1),(37,1),(76,1),(80,1),(118,1),(121,1),(169,1),(170,1)}
        21:{1,3,4,6}:{(10,1),(11,1),(28,1),(37,1),(38,1),(70,1)}
        22:{1,3,5,6}:{(11,1),(12,1),(33,1),(37,1),(38,1),(39,1)}
        23:{1,2,4,5,6}:{(12,1),(13,1),(34,1),(38,1),(39,1),(40,1),(69,1),(84,1),(85,1),(120,1),(129,1),(184,1)}
        24:{3,4,5,6}:{(13,1),(35,1),(39,1),(40,1),(118,1),(168,1)}
        25:{2,3,4,7}:{(14,1),(41,1),(42,1),(92,1),(144,1)}
        26:{1,2,3,6,7}:{(15,1),(17,1),(43,1),(44,1),(87,1),(102,1),(149,1),(195,1),(197,1)}
        27:{1,2,4,5,7}:{(14,1),(20,1),(41,1),(45,1),(46,1),(89,1),(93,1),(144,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(21,1),(42,1),(46,1)}
        29:{1,2,3,5,6}:{(15,1),(22,1),(44,1),(46,1),(47,1),(61,1),(88,1),(90,1),(95,1),(149,1),(154,1),(156,1),(157,1),(197,1)}
        30:{1,2,5,6,7}:{(16,1),(18,1),(49,1),(50,1),(90,1),(98,1),(160,1)}
        31:{2,4,6,7}:{(16,1),(19,1),(51,1),(142,1)}
        32:{1,3,4,6,7}:{(17,1),(21,1),(43,1),(52,1),(53,1),(92,1),(100,1),(104,1),(149,1)}
        33:{1,3,5,7}:{(17,1),(18,1),(22,1),(53,1),(54,1)}
        34:{1,2,4,5,7}:{(18,1),(19,1),(23,1),(50,1),(53,1),(54,1),(55,1),(99,1),(107,1),(108,1),(160,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(51,1),(54,1),(55,1)}
        36:{1,3,4,6}:{(20,1),(45,1),(57,1),(104,1),(145,1),(149,1),(190,1)}
        37:{1,3,5}:{(21,1),(46,1),(58,1),(95,1)}
        38:{1,4,6}:{(22,1),(53,1),(58,1),(59,1)}
        39:{3,5,6}:{(23,1),(54,1),(59,1),(95,1),(149,1)}
        40:{1,4,5,6}:{(24,1),(55,1),(60,1),(146,1),(190,1)}
        41:{2,3,5,7}:{(25,1),(27,1),(63,1),(64,1),(121,1)}
        42:{2,3,4,6}:{(25,1),(28,1),(63,1),(64,1),(70,1),(117,1)}
        43:{1,2,4,6,7}:{(26,1),(28,1),(32,1),(62,1),(65,1),(66,1),(120,1),(131,1),(203,1)}
        44:{1,2,3,5,7}:{(26,1),(29,1),(33,1),(65,1),(66,1),(79,1),(116,1),(121,1),(177,1),(178,1),(179,1)}
        45:{1,2,4,6}:{(27,1),(36,1),(63,1),(68,1),(117,1)}
        46:{1,2,5}:{(28,1),(37,1),(64,1)}
        47:{1,2,4,6}:{(29,1),(38,1),(66,1),(69,1),(70,1),(84,1),(117,1),(171,1)}
        48:{2,4,5,6,7}:{(31,1),(71,1),(166,1)}
        49:{1,3,5,6,7}:{(30,1),(33,1),(72,1),(73,1),(75,1),(130,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(34,1),(72,1),(73,1),(74,1),(120,1),(131,1),(132,1)}
        51:{3,4,6,7}:{(31,1),(35,1),(71,1),(73,1),(74,1),(168,1)}
        52:{1,3,5,7}:{(32,1),(37,1),(65,1),(75,1),(76,1),(121,1),(130,1)}
        53:{1,4,7}:{(33,1),(38,1),(77,1)}
        54:{3,5,7}:{(34,1),(39,1),(73,1),(77,1)}
        55:{1,4,5,7}:{(35,1),(40,1),(74,1),(78,1)}
        56:{1,3,4,6,7}:{(36,1),(67,1),(80,1),(133,1),(170,1),(174,1),(203,1)}
        57:{1,3,5,6}:{(36,1),(37,1),(68,1),(80,1),(81,1),(125,1),(202,1)}
        58:{1,4,5}:{(37,1),(38,1),(82,1)}
        59:{3,4,6}:{(38,1),(39,1),(77,1),(82,1),(84,1)}
        60:{1,3,5,6}:{(39,1),(40,1),(78,1),(83,1),(85,1),(126,1),(175,1)}
        61:{2,3,5,6}:{(39,1),(79,1),(84,1),(85,1),(127,1),(140,1),(176,1),(184,1)}
        62:{2,3,4,6,7}:{(42,1),(43,1),(86,1),(87,1),(92,1),(142,1),(144,1),(149,1),(189,1)}
        63:{2,3,6}:{(41,1),(45,1),(149,1)}
        64:{2,3,5}:{(42,1),(46,1),(89,1),(95,1)}
        65:{1,2,5,7}:{(43,1),(46,1),(52,1),(86,1),(90,1),(160,1),(208,1)}
        66:{1,2,4,7}:{(44,1),(47,1),(53,1),(92,1),(107,1),(144,1),(191,1)}
        67:{1,2,4,6,7}:{(45,1),(56,1),(87,1),(93,1),(144,1)}
        68:{1,2,5,6}:{(45,1),(46,1),(57,1),(88,1),(93,1)}
        69:{1,2,4,5}:{(46,1),(47,1),(58,1),(89,1),(95,1),(112,1),(146,1),(156,1)}
        70:{3,4,6}:{(47,1),(92,1),(95,1),(149,1)}
        71:{3,5,6,7}:{(48,1),(51,1),(98,1),(188,1)}
        72:{1,4,6,7}:{(49,1),(53,1),(99,1),(100,1),(104,1)}
        73:{3,6,7}:{(50,1),(54,1),(149,1)}
        74:{1,4,6,7}:{(51,1),(55,1),(98,1),(101,1),(190,1)}
        75:{1,3,5,6}:{(52,1),(90,1),(104,1),(149,1),(159,1)}
        76:{1,4,5,7}:{(52,1),(53,1),(58,1),(104,1),(105,1)}
        77:{3,4,7}:{(53,1),(54,1),(59,1),(107,1)}
        78:{1,3,5,7}:{(54,1),(55,1),(60,1),(101,1),(106,1),(108,1)}
        79:{2,3,5,7}:{(54,1),(61,1),(102,1),(107,1),(108,1),(160,1),(163,1)}
        80:{1,3,5,7}:{(56,1),(57,1),(93,1),(109,1),(153,1),(208,1)}
        81:{1,4,5,6}:{(57,1),(58,1),(104,1),(109,1),(110,1)}
        82:{3,4,5}:{(58,1),(59,1),(95,1),(112,1)}
        83:{1,3,4,6}:{(59,1),(60,1),(106,1),(111,1),(113,1)}
        84:{2,4,6}:{(59,1),(61,1),(107,1),(112,1)}
        85:{1,2,5,6}:{(60,1),(61,1),(108,1),(113,1),(156,1),(197,1)}
        86:{2,3,5,7}:{(62,1),(64,1),(65,1),(114,1),(115,1),(121,1),(201,1)}
        87:{2,3,6,7}:{(63,1),(67,1),(116,1),(174,1)}
        88:{2,3,5,6}:{(63,1),(64,1),(68,1),(116,1),(117,1),(125,1)}
        89:{2,4,5}:{(64,1),(117,1),(118,1)}
        90:{1,2,5,6}:{(65,1),(75,1),(114,1),(120,1),(184,1),(202,1)}
        91:{1,2,4,5,7}:{(65,1),(66,1),(69,1),(76,1),(115,1),(120,1),(121,1),(135,1),(169,1),(177,1)}
        92:{3,4,7}:{(66,1),(70,1),(121,1)}
        93:{1,2,5,7}:{(67,1),(68,1),(80,1),(116,1)}
        94:{1,2,4,5,6}:{(68,1),(69,1),(81,1),(117,1),(120,1),(124,1),(125,1),(138,1),(166,1),(171,1),(181,1),(202,1)}
        95:{3,5}:{(69,1),(70,1)}
        96:{1,3,4,6}:{(70,1),(122,1),(126,1),(128,1),(171,1),(175,1),(205,1),(206,1)}
        97:{2,3,4,6}:{(70,1),(84,1),(123,1),(127,1),(128,1),(140,1),(176,1),(186,1)}
        98:{1,5,6,7}:{(71,1),(74,1),(202,1)}
        99:{1,4,5,7}:{(72,1),(129,1),(130,1)}
       100:{3,4,6,7}:{(72,1),(73,1),(77,1),(130,1),(131,1),(134,1)}
       101:{1,3,6,7}:{(73,1),(74,1),(78,1),(132,1),(175,1)}
       102:{2,3,6,7}:{(73,1),(79,1),(131,1),(132,1),(176,1)}
       103:{1,3,5,6,7}:{(75,1),(80,1),(119,1),(133,1),(174,1),(183,1)}
       104:{1,4,6}:{(75,1),(76,1),(134,1)}
       105:{3,4,5,7}:{(76,1),(77,1),(82,1),(121,1),(130,1),(134,1),(135,1)}
       106:{1,3,4,7}:{(77,1),(78,1),(83,1),(136,1)}
       107:{2,4,7}:{(77,1),(79,1),(84,1)}
       108:{1,2,5,7}:{(78,1),(79,1),(85,1),(132,1),(136,1)}
       109:{1,4,5,7}:{(80,1),(81,1),(133,1),(137,1)}
       110:{3,4,5,6}:{(81,1),(82,1),(125,1),(134,1),(137,1),(138,1)}
       111:{1,3,4,5}:{(82,1),(83,1),(126,1),(139,1),(206,1)}
       112:{2,4,5}:{(82,1),(84,1),(127,1)}
       113:{1,2,4,6}:{(83,1),(84,1),(85,1),(136,1),(139,1),(140,1)}
       114:{2,3,5,6}:{(86,1),(90,1),(142,1),(149,1),(188,1)}
       115:{2,4,5,7}:{(86,1),(89,1),(142,1),(143,1),(144,1)}
       116:{2,3,5,7}:{(87,1),(88,1),(93,1),(144,1),(153,1)}
       117:{2,4,6}:{(88,1),(89,1),(144,1),(145,1)}
       118:{3,4,5}:{(89,1),(95,1),(145,1),(146,1)}
       119:{1,2,5,6,7}:{(90,1),(93,1),(103,1),(141,1),(148,1),(200,1),(208,1)}
       120:{1,2,4,6}:{(90,1),(91,1),(104,1),(142,1),(149,1),(162,1),(190,1),(197,1)}
       121:{3,5,7}:{(91,1),(92,1),(95,1),(149,1)}
       122:{1,3,4,7}:{(92,1),(96,1),(150,1),(152,1),(191,1),(209,1)}
       123:{2,3,4,7}:{(92,1),(97,1),(107,1),(151,1),(152,1),(163,1)}
       124:{1,2,4,5,7}:{(93,1),(94,1),(109,1),(144,1),(148,1),(153,1),(164,1),(187,1),(191,1),(198,1),(208,1)}
       125:{3,5,6}:{(94,1),(95,1),(145,1),(149,1),(153,1)}
       126:{1,3,5}:{(95,1),(96,1),(146,1),(156,1)}
       127:{2,3,5}:{(95,1),(97,1),(112,1),(156,1)}
       128:{1,2,4,6}:{(96,1),(97,1),(152,1),(156,1),(157,1),(197,1),(199,1)}
       129:{1,4,5,6}:{(99,1),(104,1),(159,1)}
       130:{3,5,7}:{(99,1),(100,1),(159,1),(160,1)}
       131:{2,4,6,7}:{(100,1),(102,1),(107,1),(160,1),(162,1)}
       132:{1,2,6,7}:{(101,1),(102,1),(108,1),(197,1)}
       133:{1,4,6,7}:{(103,1),(104,1),(109,1),(161,1)}
       134:{3,4,6}:{(104,1),(105,1),(149,1),(159,1),(162,1)}
       135:{2,4,5,7}:{(105,1),(107,1),(112,1),(151,1),(160,1),(162,1)}
       136:{1,2,4,7}:{(106,1),(107,1),(108,1),(113,1),(163,1)}
       137:{3,4,5,7}:{(109,1),(110,1),(153,1),(161,1),(164,1)}
       138:{2,4,5,6}:{(110,1),(112,1),(155,1),(162,1),(164,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(113,1),(156,1),(165,1),(199,1)}
       140:{2,3,6}:{(113,1),(163,1),(165,1)}
       141:{2,3,5,6,7}:{(114,1),(116,1),(119,1),(167,1),(174,1),(201,1)}
       142:{2,4,6}:{(114,1),(115,1),(168,1)}
       143:{3,4,5,7}:{(115,1),(118,1),(121,1),(168,1),(169,1),(170,1),(201,1)}
       144:{2,4,7}:{(116,1),(117,1),(170,1)}
       145:{3,4,6}:{(117,1),(118,1),(125,1),(170,1),(171,1)}
       146:{1,4,5}:{(118,1),(126,1),(171,1)}
       147:{2,3,4,5}:{(118,1),(127,1),(172,1),(173,1),(186,1)}
       148:{1,2,4,6,7}:{(119,1),(120,1),(124,1),(133,1),(167,1),(174,1),(185,1),(203,1),(207,1)}
       149:{3,6}:{(120,1),(121,1)}
       150:{1,3,5,7}:{(121,1),(122,1),(126,1),(169,1),(175,1),(177,1)}
       151:{2,3,5,7}:{(121,1),(123,1),(127,1),(135,1),(176,1),(177,1)}
       152:{1,2,4,7}:{(122,1),(123,1),(128,1),(177,1),(178,1)}
       153:{3,5,7}:{(124,1),(125,1),(170,1),(174,1)}
       154:{1,3,5,6}:{(125,1),(126,1),(171,1),(175,1),(179,1),(181,1),(202,1),(205,1)}
       155:{2,3,5,6}:{(125,1),(127,1),(138,1),(172,1),(176,1),(180,1),(181,1)}
       156:{1,2,5}:{(126,1),(127,1),(128,1)}
       157:{1,2,3,6}:{(128,1),(140,1),(178,1),(182,1),(205,1)}
       158:{1,4,5,6,7}:{(129,1),(133,1),(183,1)}
       159:{3,5,6}:{(129,1),(130,1),(134,1),(184,1)}
       160:{2,5,7}:{(130,1),(131,1),(184,1)}
       161:{3,4,6,7}:{(133,1),(134,1),(137,1),(174,1),(183,1),(185,1)}
       162:{2,4,6}:{(134,1),(135,1),(176,1),(184,1)}
       163:{2,3,7}:{(136,1),(140,1)}
       164:{2,4,5,7}:{(137,1),(138,1),(180,1),(185,1)}
       165:{2,3,5}:{(139,1),(140,1),(186,1)}
       166:{2,4,5,6}:{(142,1),(187,1),(188,1)}
       167:{2,4,6,7}:{(141,1),(142,1),(144,1),(187,1),(189,1)}
       168:{3,4,6}:{(142,1),(143,1),(149,1),(188,1),(190,1)}
       169:{1,4,5,7}:{(143,1),(146,1),(150,1),(190,1),(191,1),(208,1)}
       170:{3,4,7}:{(144,1),(145,1),(153,1),(191,1)}
       171:{1,4,6}:{(145,1),(146,1),(154,1),(191,1)}
       172:{2,3,4,6}:{(145,1),(147,1),(155,1),(192,1),(193,1)}
       173:{1,2,4,5}:{(146,1),(147,1),(156,1),(193,1),(194,1),(199,1)}
       174:{3,6,7}:{(148,1),(149,1),(153,1)}
       175:{1,3,6}:{(149,1),(150,1),(190,1),(197,1)}
       176:{2,3,6}:{(149,1),(151,1),(162,1),(197,1)}
       177:{1,2,5,7}:{(150,1),(151,1),(152,1),(156,1),(197,1)}
       178:{1,2,3,7}:{(152,1),(157,1),(163,1),(209,1)}
       179:{1,3,5,7}:{(153,1),(154,1),(191,1),(195,1),(198,1),(208,1),(209,1)}
       180:{2,3,5,7}:{(153,1),(155,1),(164,1),(192,1),(196,1),(198,1)}
       181:{1,2,5,6}:{(154,1),(155,1),(156,1),(193,1),(197,1),(198,1)}
       182:{1,2,3,5}:{(156,1),(157,1),(165,1),(194,1),(199,1)}
       183:{3,5,6,7}:{(158,1),(159,1),(161,1),(200,1)}
       184:{2,5,6}:{(159,1),(160,1),(162,1)}
       185:{2,4,6,7}:{(161,1),(162,1),(164,1),(196,1),(200,1)}
       186:{2,3,4}:{(165,1),(199,1)}
       187:{2,4,5,7}:{(166,1),(167,1),(201,1)}
       188:{3,5,6}:{(166,1),(168,1),(201,1),(202,1)}
       189:{3,4,6,7}:{(167,1),(168,1),(170,1),(174,1),(201,1),(203,1)}
       190:{1,4,6}:{(168,1),(169,1),(175,1),(202,1)}
       191:{1,4,7}:{(170,1),(171,1),(179,1)}
       192:{2,3,4,7}:{(170,1),(172,1),(180,1),(204,1)}
       193:{1,2,4,6}:{(171,1),(172,1),(173,1),(181,1),(204,1),(205,1)}
       194:{1,3,5}:{(173,1),(205,1),(206,1)}
       195:{1,3,6,7}:{(174,1),(175,1),(179,1),(203,1),(207,1)}
       196:{2,3,6,7}:{(174,1),(176,1),(180,1),(185,1),(207,1)}
       197:{1,2,6}:{(175,1),(176,1),(177,1)}
       198:{1,2,5,7}:{(179,1),(180,1),(181,1),(204,1),(207,1)}
       199:{1,2,4}:{(182,1),(186,1),(206,1)}
       200:{2,5,6,7}:{(183,1),(184,1),(185,1)}
       201:{3,5,7}:{(187,1),(188,1),(189,1),(208,1)}
       202:{1,5,6}:{(188,1),(190,1),(208,1)}
       203:{1,4,6,7}:{(189,1),(190,1),(191,1),(195,1),(208,1)}
       204:{1,2,4,7}:{(191,1),(192,1),(193,1),(198,1),(209,1)}
       205:{1,3,6}:{(193,1),(194,1),(209,1)}
       206:{1,3,4}:{(194,1),(199,1)}
       207:{1,2,6,7}:{(195,1),(196,1),(197,1),(198,1)}
       208:{1,5,7}:{(201,1),(202,1),(203,1)}
       209:{1,3,7}:{(204,1),(205,1)}

 839 :   0:{2,3,4,5}:{(1,1),(2,1),(31,1),(76,1),(93,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(67,1)}
         2:{1,2,4,5}:{(0,1),(6,1),(7,1),(18,1),(58,1),(70,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(11,1),(43,1),(128,1),(186,1),(202,1)}
         4:{2,3,5,6}:{(1,1),(11,1),(12,1),(13,1),(43,1),(76,1),(131,1)}
         5:{2,3,4,7}:{(1,1),(12,1),(14,1),(92,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(13,1),(14,1),(15,1),(46,1)}
         7:{1,3,5}:{(2,1),(15,1),(16,1)}
         8:{1,2,3,5}:{(7,1),(17,1),(18,1),(52,1),(58,1)}
         9:{3,4,5,7}:{(3,1),(21,1),(22,1),(23,1),(66,1),(177,1)}
        10:{1,4,5,6}:{(3,1),(19,1),(22,1),(157,1),(207,1)}
        11:{2,4,5,6}:{(3,1),(4,1),(23,1),(100,1),(160,1)}
        12:{2,3,5,7}:{(4,1),(5,1),(23,1),(25,1),(26,1),(66,1)}
        13:{1,2,5,6}:{(4,1),(6,1),(26,1),(27,1),(58,1),(113,1)}
        14:{1,2,4,7}:{(5,1),(6,1),(26,1),(28,1),(69,1)}
        15:{1,3,6}:{(6,1),(7,1),(28,1)}
        16:{1,3,4}:{(7,1),(18,1)}
        17:{1,2,3,6}:{(8,1),(15,1),(34,1),(35,1),(77,1)}
        18:{1,2,4}:{(8,1),(16,1),(31,1)}
        19:{1,3,5,6}:{(10,1),(32,1),(37,1),(38,1),(43,1),(138,1),(194,1)}
        20:{4,5,6,7}:{(39,1),(149,1),(224,1)}
        21:{3,4,6,7}:{(9,1),(39,1),(40,1),(41,1),(91,1),(149,1),(186,1)}
        22:{1,4,5,7}:{(9,1),(10,1),(37,1),(40,1)}
        23:{2,4,5,7}:{(9,1),(11,1),(12,1),(41,1)}
        24:{1,2,4,5,6}:{(10,1),(11,1),(13,1),(38,1),(42,1),(43,1),(46,1),(83,1),(89,1),(143,1),(153,1),(200,1),(202,1)}
        25:{2,3,6,7}:{(12,1),(41,1),(44,1),(91,1),(131,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(14,1),(44,1),(45,1)}
        27:{1,3,5,6}:{(13,1),(15,1),(43,1),(45,1),(46,1),(48,1),(97,1),(153,1)}
        28:{1,3,7}:{(14,1),(15,1)}
        29:{1,3,4,6}:{(15,1),(16,1),(35,1),(46,1),(47,1),(48,1),(80,1),(97,1)}
        30:{1,3,4,5}:{(16,1),(36,1),(48,1),(49,1),(128,1)}
        31:{2,3,4}:{(18,1),(52,1)}
        32:{1,3,4,6}:{(19,1),(50,1),(53,1),(54,1),(67,1)}
        33:{1,2,3,5,6}:{(17,1),(27,1),(55,1),(56,1),(58,1),(62,1),(102,1),(104,1),(109,1),(113,1),(164,1),(168,1),(170,1),(172,1),(212,1)}
        34:{1,2,3,7}:{(17,1),(28,1),(57,1),(103,1)}
        35:{1,2,4,6}:{(17,1),(18,1),(29,1),(51,1),(57,1),(58,1),(113,1)}
        36:{1,2,4,5}:{(18,1),(30,1),(52,1),(58,1),(59,1),(100,1)}
        37:{1,3,5,7}:{(19,1),(22,1),(53,1),(60,1),(61,1),(66,1)}
        38:{1,2,5,6}:{(19,1),(54,1),(61,1),(62,1),(164,1),(212,1)}
        39:{3,5,6,7}:{(20,1),(21,1),(63,1),(64,1),(209,1)}
        40:{1,4,6,7}:{(21,1),(22,1),(60,1),(63,1),(207,1)}
        41:{2,4,6,7}:{(21,1),(23,1),(25,1),(64,1),(160,1)}
        42:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(26,1),(61,1),(65,1),(66,1),(69,1),(116,1),(122,1),(174,1),(177,1)}
        43:{3,5,6}:{(24,1),(66,1),(67,1),(109,1),(170,1)}
        44:{1,2,6,7}:{(25,1),(26,1),(68,1),(113,1)}
        45:{1,3,5,7}:{(26,1),(27,1),(28,1),(66,1),(68,1),(69,1),(122,1)}
        46:{1,4,6}:{(27,1),(67,1),(69,1),(70,1)}
        47:{1,3,4,7}:{(28,1),(29,1),(57,1),(69,1),(71,1),(108,1)}
        48:{1,3,5}:{(29,1),(58,1),(70,1),(109,1)}
        49:{1,3,4,6}:{(30,1),(59,1),(72,1),(73,1),(159,1)}
        50:{1,3,4,5}:{(32,1),(74,1),(93,1),(138,1),(181,1)}
        51:{2,3,4,6}:{(31,1),(35,1),(75,1),(76,1),(77,1),(80,1),(130,1),(131,1)}
        52:{2,3,5}:{(31,1),(36,1),(77,1)}
        53:{1,3,4,7}:{(32,1),(37,1),(78,1),(92,1)}
        54:{1,2,4,6}:{(32,1),(38,1),(74,1),(78,1),(79,1),(89,1)}
        55:{1,2,3,5,7}:{(33,1),(34,1),(45,1),(81,1),(82,1),(84,1),(88,1),(132,1),(133,1),(140,1),(142,1),(190,1),(195,1)}
        56:{1,2,4,6}:{(33,1),(46,1),(80,1),(82,1),(83,1),(89,1),(130,1),(185,1)}
        57:{1,2,4,7}:{(34,1),(35,1),(47,1),(75,1),(84,1)}
        58:{1,2,5}:{(35,1),(48,1),(76,1)}
        59:{1,2,4,6}:{(36,1),(49,1),(77,1),(85,1),(86,1),(130,1)}
        60:{1,3,6,7}:{(37,1),(40,1),(87,1),(91,1),(194,1)}
        61:{1,2,5,7}:{(37,1),(38,1),(78,1),(87,1),(88,1)}
        62:{2,3,5,6}:{(38,1),(43,1),(79,1),(88,1),(89,1),(136,1),(192,1),(200,1)}
        63:{1,5,6,7}:{(39,1),(40,1),(222,1)}
        64:{2,5,6,7}:{(39,1),(41,1),(188,1)}
        65:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(44,1),(87,1),(90,1),(91,1),(94,1),(143,1),(146,1),(149,1)}
        66:{3,5,7}:{(42,1),(43,1),(91,1),(92,1)}
        67:{3,4,6}:{(43,1),(46,1),(89,1),(92,1),(93,1)}
        68:{1,3,6,7}:{(44,1),(45,1),(91,1),(94,1),(97,1)}
        69:{1,4,7}:{(45,1),(46,1),(92,1)}
        70:{1,4,5}:{(46,1),(48,1),(93,1)}
        71:{1,3,5,7}:{(47,1),(48,1),(84,1),(95,1),(97,1),(140,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(85,1),(96,1),(97,1),(98,1),(141,1)}
        73:{1,3,4,7}:{(49,1),(86,1),(98,1),(187,1)}
        74:{1,2,4,5}:{(50,1),(54,1),(99,1),(117,1),(155,1),(164,1)}
        75:{2,3,4,7}:{(51,1),(57,1),(101,1),(103,1),(108,1),(161,1)}
        76:{2,3,5}:{(51,1),(58,1),(100,1),(109,1)}
        77:{2,3,6}:{(52,1),(59,1),(103,1)}
        78:{1,2,4,7}:{(53,1),(54,1),(61,1),(105,1),(116,1)}
        79:{2,3,6}:{(54,1),(99,1),(105,1)}
        80:{3,4,6}:{(56,1),(108,1),(109,1),(170,1)}
        81:{1,2,3,6,7}:{(55,1),(68,1),(110,1),(113,1),(115,1),(162,1),(170,1),(212,1),(215,1)}
        82:{1,2,4,7}:{(55,1),(56,1),(69,1),(108,1),(116,1),(161,1),(208,1)}
        83:{1,2,4,5}:{(56,1),(58,1),(70,1),(100,1),(109,1),(117,1),(157,1),(164,1)}
        84:{1,2,5,7}:{(57,1),(58,1),(71,1),(101,1),(113,1)}
        85:{1,2,5,6}:{(58,1),(59,1),(72,1),(102,1),(113,1),(114,1)}
        86:{1,2,4,7}:{(59,1),(73,1),(103,1),(114,1),(161,1)}
        87:{1,2,6,7}:{(60,1),(61,1),(115,1),(212,1)}
        88:{2,3,5,7}:{(61,1),(62,1),(66,1),(105,1),(115,1),(116,1),(174,1)}
        89:{2,4,6}:{(62,1),(67,1),(116,1),(117,1)}
        90:{1,2,5,6,7}:{(63,1),(64,1),(65,1),(118,1),(122,1),(172,1),(174,1)}
        91:{3,6,7}:{(65,1),(66,1),(170,1)}
        92:{3,4,7}:{(66,1),(67,1),(69,1),(116,1)}
        93:{3,4,5}:{(67,1),(70,1),(109,1),(117,1)}
        94:{1,4,6,7}:{(68,1),(69,1),(119,1),(122,1),(123,1)}
        95:{1,4,5,7}:{(69,1),(70,1),(71,1),(120,1),(122,1),(123,1)}
        96:{1,4,5,6}:{(70,1),(72,1),(121,1),(123,1),(124,1)}
        97:{1,3,6}:{(71,1),(113,1),(123,1),(170,1)}
        98:{1,3,5,7}:{(72,1),(73,1),(114,1),(124,1),(125,1),(171,1)}
        99:{2,3,5}:{(74,1),(79,1),(127,1)}
       100:{2,4,5}:{(76,1),(128,1),(130,1)}
       101:{2,3,5,7}:{(75,1),(76,1),(84,1),(129,1),(131,1),(140,1)}
       102:{2,3,5,6}:{(76,1),(77,1),(85,1),(130,1),(131,1),(132,1),(141,1),(188,1)}
       103:{2,3,7}:{(77,1),(86,1)}
       104:{1,2,3,6}:{(79,1),(126,1),(133,1),(134,1),(220,1)}
       105:{2,3,7}:{(78,1),(79,1)}
       106:{2,3,4,6}:{(79,1),(80,1),(89,1),(127,1),(134,1),(135,1),(136,1),(192,1)}
       107:{1,3,4,6}:{(80,1),(134,1),(137,1),(138,1),(181,1),(185,1),(194,1),(220,1)}
       108:{3,4,7}:{(80,1),(82,1),(140,1)}
       109:{3,5}:{(80,1),(83,1)}
       110:{1,2,4,6,7}:{(81,1),(82,1),(94,1),(139,1),(142,1),(143,1),(146,1),(189,1),(223,1)}
       111:{1,2,4,5,7}:{(82,1),(83,1),(84,1),(95,1),(129,1),(140,1),(142,1),(143,1),(147,1),(184,1),(190,1),(196,1)}
       112:{1,2,4,5,6}:{(83,1),(85,1),(96,1),(130,1),(141,1),(143,1),(144,1),(148,1),(185,1),(188,1),(191,1),(222,1),(224,1)}
       113:{1,2,6}:{(84,1),(97,1),(131,1)}
       114:{1,2,5,7}:{(85,1),(86,1),(98,1),(132,1),(145,1)}
       115:{2,3,6,7}:{(87,1),(88,1),(91,1),(146,1),(192,1)}
       116:{2,4,7}:{(88,1),(89,1),(92,1)}
       117:{2,4,5}:{(89,1),(93,1),(136,1)}
       118:{3,5,6,7}:{(90,1),(91,1),(149,1),(150,1),(197,1)}
       119:{3,4,6,7}:{(91,1),(92,1),(94,1),(146,1),(149,1),(150,1),(151,1)}
       120:{3,4,5,7}:{(92,1),(93,1),(95,1),(140,1),(147,1),(150,1),(151,1),(196,1)}
       121:{3,4,5,6}:{(93,1),(96,1),(141,1),(148,1),(151,1),(152,1),(224,1)}
       122:{1,5,7}:{(94,1),(150,1),(153,1)}
       123:{1,4,6}:{(95,1),(97,1),(151,1),(153,1)}
       124:{1,4,5,7}:{(96,1),(98,1),(152,1),(154,1)}
       125:{1,3,6,7}:{(97,1),(98,1),(145,1),(154,1),(198,1)}
       126:{1,2,3,5}:{(99,1),(104,1),(155,1),(164,1),(204,1)}
       127:{2,3,4}:{(99,1),(155,1)}
       128:{3,4,5}:{(100,1),(109,1),(157,1),(159,1)}
       129:{2,4,5,7}:{(100,1),(101,1),(158,1),(160,1),(161,1),(211,1)}
       130:{2,4,6}:{(100,1),(102,1),(159,1),(161,1)}
       131:{2,3,6}:{(101,1),(113,1),(160,1),(170,1)}
       132:{2,3,5,7}:{(102,1),(103,1),(114,1),(161,1),(162,1),(171,1),(211,1)}
       133:{1,2,3,7}:{(104,1),(105,1),(163,1),(228,1)}
       134:{1,2,4,6}:{(104,1),(106,1),(107,1),(155,1),(163,1),(164,1),(212,1)}
       135:{2,3,4,7}:{(105,1),(106,1),(108,1),(116,1),(163,1),(165,1)}
       136:{2,3,5}:{(106,1),(109,1),(117,1),(164,1)}
       137:{1,3,4,7}:{(107,1),(108,1),(163,1),(167,1),(208,1),(228,1)}
       138:{1,3,5}:{(107,1),(109,1),(157,1),(164,1)}
       139:{3,4,6,7}:{(108,1),(110,1),(169,1),(170,1),(216,1)}
       140:{3,5,7}:{(108,1),(109,1),(111,1),(170,1)}
       141:{3,5,6}:{(109,1),(112,1),(159,1),(170,1),(171,1)}
       142:{1,2,5,7}:{(110,1),(122,1),(169,1),(172,1),(174,1),(211,1),(229,1)}
       143:{1,2,4,6}:{(111,1),(113,1),(123,1),(160,1),(170,1),(172,1),(175,1),(207,1),(212,1),(216,1)}
       144:{1,2,4,5,7}:{(112,1),(114,1),(124,1),(161,1),(171,1),(173,1),(176,1),(208,1),(211,1),(213,1),(229,1),(230,1)}
       145:{1,2,6,7}:{(113,1),(114,1),(125,1),(162,1)}
       146:{2,4,6,7}:{(115,1),(116,1),(119,1),(174,1),(175,1)}
       147:{2,4,5,7}:{(116,1),(117,1),(120,1),(165,1),(174,1),(175,1)}
       148:{2,4,5,6}:{(117,1),(121,1),(166,1),(175,1),(176,1)}
       149:{4,6,7}:{(118,1),(177,1),(216,1)}
       150:{3,5,7}:{(119,1),(122,1),(174,1),(177,1),(178,1)}
       151:{3,4,6}:{(120,1),(123,1),(170,1),(175,1),(178,1),(216,1)}
       152:{3,4,5,7}:{(121,1),(124,1),(171,1),(176,1),(179,1),(230,1)}
       153:{1,5,6}:{(122,1),(123,1),(178,1)}
       154:{1,4,6,7}:{(123,1),(124,1),(125,1),(179,1),(180,1)}
       155:{1,2,4}:{(126,1),(127,1),(181,1)}
       156:{2,3,4,5}:{(127,1),(128,1),(136,1),(182,1),(183,1)}
       157:{1,4,5}:{(128,1),(138,1),(185,1)}
       158:{3,4,5,7}:{(128,1),(129,1),(140,1),(184,1),(186,1),(187,1),(196,1),(225,1)}
       159:{3,4,6}:{(128,1),(130,1),(141,1),(185,1),(187,1)}
       160:{2,4,6}:{(129,1),(131,1),(186,1),(188,1)}
       161:{2,4,7}:{(130,1),(132,1),(187,1)}
       162:{2,3,6,7}:{(131,1),(132,1),(145,1),(189,1),(198,1)}
       163:{1,2,4,7}:{(133,1),(134,1),(135,1),(137,1),(190,1)}
       164:{1,2,5}:{(134,1),(136,1),(138,1)}
       165:{2,3,5,7}:{(135,1),(136,1),(140,1),(147,1),(190,1),(192,1)}
       166:{2,3,5,6}:{(136,1),(141,1),(148,1),(183,1),(191,1),(192,1),(193,1)}
       167:{1,3,5,7}:{(137,1),(138,1),(140,1),(184,1),(190,1),(194,1)}
       168:{1,3,5,6}:{(138,1),(141,1),(185,1),(191,1),(194,1),(195,1),(220,1),(222,1)}
       169:{3,5,7}:{(139,1),(142,1),(196,1),(197,1)}
       170:{3,6}:{(140,1),(143,1)}
       171:{3,5,7}:{(141,1),(144,1),(187,1),(198,1)}
       172:{1,2,5,6}:{(142,1),(143,1),(153,1),(188,1),(197,1),(200,1),(222,1)}
       173:{1,2,4,6,7}:{(143,1),(144,1),(145,1),(154,1),(189,1),(198,1),(199,1),(201,1),(223,1),(226,1),(227,1)}
       174:{2,5,7}:{(146,1),(150,1),(200,1)}
       175:{2,4,6}:{(147,1),(151,1),(192,1),(200,1)}
       176:{2,4,5,7}:{(148,1),(152,1),(193,1),(201,1)}
       177:{4,5,7}:{(149,1),(150,1),(202,1)}
       178:{3,5,6}:{(150,1),(151,1),(153,1),(200,1),(202,1)}
       179:{3,4,6,7}:{(151,1),(152,1),(154,1),(198,1),(201,1),(203,1),(227,1)}
       180:{1,5,6,7}:{(153,1),(154,1),(203,1)}
       181:{1,3,4}:{(155,1),(204,1)}
       182:{1,2,4,5}:{(155,1),(156,1),(157,1),(164,1),(204,1),(205,1)}
       183:{2,3,4,6}:{(156,1),(159,1),(166,1),(205,1),(206,1)}
       184:{1,4,5,7}:{(157,1),(158,1),(167,1),(207,1),(208,1),(229,1)}
       185:{1,4,6}:{(157,1),(159,1),(168,1),(208,1)}
       186:{3,4,6}:{(158,1),(160,1),(170,1),(207,1),(209,1),(216,1)}
       187:{3,4,7}:{(159,1),(161,1),(171,1),(208,1)}
       188:{2,5,6}:{(160,1),(209,1),(211,1)}
       189:{2,4,6,7}:{(160,1),(161,1),(162,1),(210,1),(211,1)}
       190:{1,2,5,7}:{(163,1),(164,1),(165,1),(167,1),(212,1)}
       191:{1,2,5,6}:{(164,1),(166,1),(168,1),(205,1),(212,1),(213,1)}
       192:{2,3,6}:{(165,1),(170,1),(175,1),(212,1)}
       193:{2,3,5,7}:{(166,1),(171,1),(176,1),(206,1),(213,1),(214,1)}
       194:{1,3,6}:{(167,1),(170,1),(207,1),(212,1)}
       195:{1,3,5,7}:{(168,1),(171,1),(208,1),(213,1),(215,1),(228,1),(229,1)}
       196:{4,5,7}:{(169,1),(216,1)}
       197:{3,5,6}:{(169,1),(170,1),(172,1),(216,1)}
       198:{3,6,7}:{(170,1),(171,1),(173,1)}
       199:{1,2,5,6,7}:{(172,1),(173,1),(180,1),(211,1),(217,1),(218,1),(229,1)}
       200:{2,5,6}:{(174,1),(175,1),(178,1)}
       201:{2,4,6,7}:{(175,1),(176,1),(179,1),(214,1),(218,1)}
       202:{4,5,6}:{(177,1),(178,1),(216,1)}
       203:{3,5,6,7}:{(178,1),(179,1),(180,1),(218,1),(219,1)}
       204:{1,3,5}:{(181,1),(182,1),(220,1)}
       205:{1,2,4,6}:{(182,1),(183,1),(185,1),(191,1),(220,1),(221,1)}
       206:{2,3,4,7}:{(183,1),(187,1),(193,1),(221,1)}
       207:{1,4,6}:{(184,1),(186,1),(194,1),(222,1)}
       208:{1,4,7}:{(185,1),(187,1),(195,1)}
       209:{3,5,6}:{(186,1),(188,1),(222,1),(224,1),(225,1)}
       210:{3,4,6,7}:{(186,1),(187,1),(189,1),(198,1),(223,1),(225,1),(227,1)}
       211:{2,5,7}:{(188,1),(189,1),(225,1)}
       212:{1,2,6}:{(190,1),(192,1),(194,1)}
       213:{1,2,5,7}:{(191,1),(193,1),(195,1),(221,1),(226,1)}
       214:{2,3,6,7}:{(192,1),(193,1),(198,1),(201,1),(226,1)}
       215:{1,3,6,7}:{(194,1),(195,1),(198,1),(223,1),(226,1)}
       216:{4,6}:{(196,1),(197,1)}
       217:{3,5,6,7}:{(197,1),(198,1),(199,1),(225,1),(227,1)}
       218:{2,5,6,7}:{(200,1),(201,1),(203,1)}
       219:{4,5,6,7}:{(202,1),(203,1),(227,1)}
       220:{1,3,6}:{(204,1),(205,1),(228,1)}
       221:{1,2,4,7}:{(205,1),(206,1),(208,1),(213,1),(228,1)}
       222:{1,5,6}:{(207,1),(209,1),(229,1)}
       223:{1,4,6,7}:{(207,1),(208,1),(210,1),(215,1),(229,1)}
       224:{4,5,6}:{(209,1),(216,1),(230,1)}
       225:{3,5,7}:{(209,1),(210,1),(211,1),(229,1),(230,1)}
       226:{1,2,6,7}:{(212,1),(213,1),(214,1),(215,1)}
       227:{4,6,7}:{(216,1),(217,1),(230,1)}
       228:{1,3,7}:{(220,1),(221,1)}
       229:{1,5,7}:{(222,1),(223,1),(225,1)}
       230:{4,5,7}:{(224,1),(225,1),(227,1)}

 840 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(21,1),(160,1),(172,1),(208,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(60,1),(68,1),(115,1)}
         2:{1,4,5,6}:{(0,1),(7,1),(10,1),(181,1),(217,1)}
         3:{2,4,5,6}:{(0,1),(8,1),(11,1),(144,1),(198,1)}
         4:{3,4,5,7}:{(0,1),(10,1),(11,1),(12,1),(40,1),(143,1)}
         5:{2,3,4,6}:{(1,1),(8,1),(13,1),(14,1),(39,1)}
         6:{1,2,4,5}:{(1,1),(13,1),(15,1),(48,1),(80,1),(88,1)}
         7:{1,3,5,6}:{(2,1),(16,1),(17,1),(18,1),(21,1),(154,1),(205,1)}
         8:{2,3,5,6}:{(3,1),(5,1),(19,1),(20,1),(21,1),(115,1),(176,1)}
         9:{1,2,4,5,6}:{(2,1),(3,1),(17,1),(19,1),(21,1),(22,1),(54,1),(57,1),(102,1),(165,1),(168,1),(170,1),(172,1)}
        10:{1,4,5,7}:{(2,1),(4,1),(18,1),(23,1)}
        11:{2,4,5,7}:{(3,1),(4,1),(20,1),(24,1)}
        12:{3,4,6,7}:{(4,1),(23,1),(24,1),(25,1),(62,1),(114,1),(208,1)}
        13:{1,2,4,6}:{(5,1),(6,1),(19,1),(26,1),(27,1),(57,1)}
        14:{2,3,4,7}:{(5,1),(20,1),(27,1),(61,1)}
        15:{1,3,5}:{(6,1),(26,1),(29,1)}
        16:{1,3,4,6}:{(7,1),(30,1),(31,1),(32,1),(39,1)}
        17:{1,2,5,6}:{(7,1),(31,1),(33,1),(34,1),(126,1),(185,1)}
        18:{1,3,5,7}:{(7,1),(10,1),(32,1),(34,1),(35,1),(40,1)}
        19:{1,2,5,6}:{(8,1),(13,1),(36,1),(37,1),(88,1),(148,1)}
        20:{2,3,5,7}:{(8,1),(11,1),(14,1),(37,1),(38,1),(40,1)}
        21:{3,5,6}:{(9,1),(39,1),(40,1),(130,1),(190,1)}
        22:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(34,1),(37,1),(40,1),(41,1),(78,1),(81,1),(137,1),(140,1),(143,1)}
        23:{1,4,6,7}:{(10,1),(12,1),(35,1),(42,1),(217,1)}
        24:{2,4,6,7}:{(11,1),(12,1),(38,1),(43,1),(198,1)}
        25:{3,5,6,7}:{(12,1),(42,1),(43,1),(44,1),(220,1)}
        26:{1,3,6}:{(13,1),(15,1),(47,1)}
        27:{1,2,4,7}:{(13,1),(14,1),(37,1),(47,1),(81,1)}
        28:{1,2,3,5}:{(15,1),(45,1),(48,1),(88,1),(92,1)}
        29:{1,3,4}:{(15,1),(48,1)}
        30:{1,3,4,5}:{(16,1),(50,1),(60,1),(151,1),(154,1)}
        31:{1,2,4,6}:{(16,1),(17,1),(50,1),(51,1),(52,1),(54,1)}
        32:{1,3,4,7}:{(16,1),(18,1),(52,1),(61,1)}
        33:{2,3,5,6}:{(17,1),(21,1),(51,1),(54,1),(55,1),(99,1),(159,1),(168,1)}
        34:{1,2,5,7}:{(17,1),(18,1),(52,1),(55,1),(56,1)}
        35:{1,3,6,7}:{(18,1),(23,1),(56,1),(62,1),(205,1)}
        36:{1,3,5,6}:{(19,1),(21,1),(26,1),(57,1),(58,1),(66,1),(120,1),(170,1)}
        37:{1,2,5,7}:{(19,1),(20,1),(27,1),(58,1),(59,1)}
        38:{2,3,6,7}:{(20,1),(24,1),(59,1),(62,1),(176,1)}
        39:{3,4,6}:{(21,1),(54,1),(57,1),(60,1),(61,1)}
        40:{3,5,7}:{(21,1),(22,1),(61,1),(62,1)}
        41:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(56,1),(59,1),(62,1),(63,1),(107,1),(110,1),(114,1),(165,1)}
        42:{1,5,6,7}:{(23,1),(25,1),(225,1)}
        43:{2,5,6,7}:{(24,1),(25,1),(214,1)}
        44:{4,5,6,7}:{(25,1),(114,1),(227,1)}
        45:{1,2,3,6}:{(26,1),(28,1),(64,1),(65,1),(121,1)}
        46:{1,3,4,6}:{(26,1),(29,1),(57,1),(64,1),(66,1),(67,1),(101,1),(120,1)}
        47:{1,3,7}:{(26,1),(27,1)}
        48:{1,2,4}:{(28,1),(29,1),(68,1)}
        49:{1,3,4,5}:{(29,1),(66,1),(69,1),(70,1),(160,1)}
        50:{1,2,4,5}:{(30,1),(31,1),(71,1),(77,1),(123,1),(126,1)}
        51:{2,3,6}:{(31,1),(71,1),(74,1)}
        52:{1,2,4,7}:{(31,1),(32,1),(34,1),(74,1),(78,1)}
        53:{1,2,3,5,6}:{(33,1),(36,1),(45,1),(72,1),(75,1),(76,1),(88,1),(126,1),(130,1),(145,1),(148,1),(182,1),(185,1),(190,1),(193,1)}
        54:{2,4,6}:{(33,1),(39,1),(77,1),(78,1)}
        55:{2,3,5,7}:{(33,1),(34,1),(40,1),(74,1),(78,1),(79,1),(137,1)}
        56:{1,2,6,7}:{(34,1),(35,1),(79,1),(185,1)}
        57:{1,4,6}:{(36,1),(39,1),(80,1),(81,1)}
        58:{1,3,5,7}:{(36,1),(37,1),(40,1),(47,1),(81,1),(82,1),(140,1)}
        59:{1,2,6,7}:{(37,1),(38,1),(82,1),(148,1)}
        60:{3,4,5}:{(39,1),(77,1),(80,1),(130,1)}
        61:{3,4,7}:{(39,1),(40,1),(78,1),(81,1)}
        62:{3,6,7}:{(40,1),(41,1),(190,1)}
        63:{1,2,5,6,7}:{(41,1),(42,1),(43,1),(86,1),(137,1),(140,1),(193,1)}
        64:{1,2,4,6}:{(45,1),(46,1),(48,1),(87,1),(88,1),(89,1),(148,1)}
        65:{1,2,3,7}:{(45,1),(47,1),(89,1),(150,1)}
        66:{1,3,5}:{(46,1),(80,1),(88,1),(130,1)}
        67:{1,3,4,7}:{(46,1),(47,1),(81,1),(89,1),(91,1),(131,1)}
        68:{2,3,4}:{(48,1),(92,1)}
        69:{1,2,4,5}:{(48,1),(49,1),(88,1),(92,1),(93,1),(144,1)}
        70:{1,3,4,6}:{(49,1),(90,1),(93,1),(94,1),(187,1)}
        71:{2,3,5}:{(50,1),(51,1),(96,1)}
        72:{1,2,3,6}:{(51,1),(95,1),(97,1),(98,1),(200,1)}
        73:{2,3,4,6}:{(51,1),(54,1),(96,1),(97,1),(99,1),(100,1),(101,1),(159,1)}
        74:{2,3,7}:{(51,1),(52,1)}
        75:{1,2,4,6}:{(53,1),(54,1),(57,1),(101,1),(102,1),(103,1),(173,1),(202,1)}
        76:{1,2,3,5,7}:{(53,1),(55,1),(58,1),(65,1),(98,1),(103,1),(104,1),(118,1),(157,1),(162,1),(166,1),(175,1),(204,1)}
        77:{2,4,5}:{(54,1),(60,1),(99,1)}
        78:{2,4,7}:{(54,1),(55,1),(61,1)}
        79:{2,3,6,7}:{(55,1),(56,1),(62,1),(107,1),(159,1)}
        80:{1,4,5}:{(57,1),(60,1),(66,1)}
        81:{1,4,7}:{(57,1),(58,1),(61,1)}
        82:{1,3,6,7}:{(58,1),(59,1),(62,1),(110,1),(120,1)}
        83:{3,4,5,6}:{(60,1),(105,1),(108,1),(111,1),(112,1),(161,1),(227,1)}
        84:{3,4,5,7}:{(60,1),(61,1),(106,1),(109,1),(112,1),(113,1),(162,1),(211,1)}
        85:{3,4,6,7}:{(61,1),(62,1),(107,1),(110,1),(112,1),(113,1),(114,1)}
        86:{3,5,6,7}:{(62,1),(63,1),(113,1),(114,1),(210,1)}
        87:{2,3,4,6}:{(64,1),(68,1),(101,1),(115,1),(116,1),(121,1),(173,1),(176,1)}
        88:{1,2,5}:{(64,1),(66,1),(115,1)}
        89:{1,2,4,7}:{(64,1),(65,1),(67,1),(116,1),(118,1)}
        90:{1,3,5,6}:{(66,1),(70,1),(108,1),(117,1),(119,1),(120,1),(161,1)}
        91:{1,3,5,7}:{(66,1),(67,1),(109,1),(118,1),(120,1),(162,1)}
        92:{2,3,5}:{(68,1),(69,1),(121,1)}
        93:{1,2,4,6}:{(69,1),(70,1),(117,1),(121,1),(122,1),(173,1)}
        94:{1,3,4,7}:{(70,1),(119,1),(122,1),(207,1)}
        95:{1,2,3,5}:{(71,1),(72,1),(123,1),(126,1),(178,1)}
        96:{2,3,4}:{(71,1),(123,1)}
        97:{1,2,4,6}:{(72,1),(73,1),(123,1),(125,1),(126,1),(127,1),(185,1)}
        98:{1,2,3,7}:{(72,1),(74,1),(127,1),(215,1)}
        99:{2,3,5}:{(73,1),(77,1),(126,1),(130,1)}
       100:{2,3,4,7}:{(73,1),(74,1),(78,1),(127,1),(129,1),(131,1)}
       101:{3,4,6}:{(75,1),(130,1),(131,1),(190,1)}
       102:{1,2,4,5}:{(75,1),(77,1),(80,1),(88,1),(126,1),(130,1),(144,1),(181,1)}
       103:{1,2,4,7}:{(75,1),(76,1),(78,1),(81,1),(131,1),(197,1),(216,1)}
       104:{1,2,3,6,7}:{(76,1),(79,1),(82,1),(134,1),(148,1),(185,1),(190,1),(199,1),(218,1)}
       105:{2,4,5,6}:{(77,1),(83,1),(128,1),(135,1),(136,1)}
       106:{2,4,5,7}:{(77,1),(78,1),(84,1),(129,1),(136,1),(137,1)}
       107:{2,4,6,7}:{(78,1),(79,1),(85,1),(136,1),(137,1)}
       108:{1,4,5,6}:{(80,1),(83,1),(90,1),(138,1),(139,1)}
       109:{1,4,5,7}:{(80,1),(81,1),(84,1),(91,1),(139,1),(140,1)}
       110:{1,4,6,7}:{(81,1),(82,1),(85,1),(139,1),(140,1)}
       111:{3,4,5,7}:{(83,1),(135,1),(138,1),(141,1),(189,1),(230,1)}
       112:{3,4,6}:{(84,1),(136,1),(139,1),(142,1),(190,1),(222,1)}
       113:{3,5,7}:{(85,1),(137,1),(140,1),(142,1),(143,1)}
       114:{4,6,7}:{(86,1),(143,1),(222,1)}
       115:{2,3,5}:{(87,1),(88,1),(130,1),(144,1)}
       116:{2,3,4,7}:{(87,1),(89,1),(131,1),(146,1),(150,1),(197,1)}
       117:{1,2,5,6}:{(88,1),(90,1),(93,1),(145,1),(147,1),(148,1)}
       118:{1,2,5,7}:{(88,1),(89,1),(91,1),(146,1),(148,1)}
       119:{1,3,5,7}:{(90,1),(94,1),(138,1),(147,1),(149,1),(189,1)}
       120:{1,3,6}:{(91,1),(139,1),(148,1),(190,1)}
       121:{2,3,6}:{(92,1),(93,1),(150,1)}
       122:{1,2,4,7}:{(93,1),(94,1),(147,1),(150,1),(197,1)}
       123:{1,2,4}:{(95,1),(96,1),(151,1)}
       124:{2,3,4,5}:{(96,1),(99,1),(152,1),(153,1),(160,1)}
       125:{1,3,4,6}:{(97,1),(101,1),(151,1),(154,1),(155,1),(200,1),(202,1),(205,1)}
       126:{1,2,5}:{(97,1),(99,1),(154,1)}
       127:{1,2,4,7}:{(97,1),(98,1),(100,1),(155,1),(157,1)}
       128:{2,3,5,6}:{(99,1),(105,1),(153,1),(156,1),(158,1),(159,1),(161,1)}
       129:{2,3,5,7}:{(99,1),(100,1),(106,1),(157,1),(159,1),(162,1)}
       130:{3,5}:{(101,1),(102,1)}
       131:{3,4,7}:{(101,1),(103,1),(162,1)}
       132:{1,2,4,5,6}:{(102,1),(105,1),(108,1),(117,1),(156,1),(161,1),(164,1),(165,1),(173,1),(202,1),(214,1),(225,1),(227,1)}
       133:{1,2,4,5,7}:{(102,1),(103,1),(106,1),(109,1),(118,1),(157,1),(162,1),(165,1),(166,1),(174,1),(203,1),(211,1)}
       134:{1,2,4,6,7}:{(103,1),(104,1),(107,1),(110,1),(163,1),(165,1),(166,1),(213,1),(224,1)}
       135:{2,4,5,7}:{(105,1),(111,1),(158,1),(167,1)}
       136:{2,4,6}:{(106,1),(112,1),(159,1),(168,1)}
       137:{2,5,7}:{(107,1),(113,1),(168,1)}
       138:{1,4,5,7}:{(108,1),(111,1),(119,1),(169,1)}
       139:{1,4,6}:{(109,1),(112,1),(120,1),(170,1)}
       140:{1,5,7}:{(110,1),(113,1),(170,1)}
       141:{3,4,6,7}:{(111,1),(112,1),(167,1),(169,1),(171,1),(209,1),(228,1)}
       142:{3,5,6}:{(112,1),(113,1),(168,1),(170,1),(172,1)}
       143:{4,5,7}:{(113,1),(114,1),(172,1)}
       144:{2,4,5}:{(115,1),(160,1),(173,1)}
       145:{2,3,5,6}:{(115,1),(117,1),(121,1),(161,1),(173,1),(175,1),(176,1),(214,1)}
       146:{2,3,5,7}:{(115,1),(116,1),(118,1),(162,1),(174,1),(176,1)}
       147:{1,2,5,7}:{(117,1),(119,1),(122,1),(175,1),(177,1)}
       148:{1,2,6}:{(118,1),(120,1),(176,1)}
       149:{1,3,6,7}:{(119,1),(120,1),(169,1),(177,1),(209,1)}
       150:{2,3,7}:{(121,1),(122,1)}
       151:{1,3,4}:{(123,1),(178,1)}
       152:{1,2,4,5}:{(123,1),(124,1),(126,1),(178,1),(179,1),(181,1)}
       153:{2,3,4,6}:{(124,1),(128,1),(179,1),(180,1),(187,1)}
       154:{1,3,5}:{(125,1),(126,1),(130,1),(181,1)}
       155:{1,3,4,7}:{(125,1),(127,1),(131,1),(183,1),(215,1),(216,1)}
       156:{1,2,5,6}:{(126,1),(128,1),(179,1),(182,1),(184,1),(185,1)}
       157:{1,2,5,7}:{(126,1),(127,1),(129,1),(183,1),(185,1)}
       158:{2,3,5,7}:{(128,1),(135,1),(180,1),(184,1),(186,1),(189,1)}
       159:{2,3,6}:{(129,1),(136,1),(185,1),(190,1)}
       160:{3,4,5}:{(130,1),(144,1),(181,1),(187,1)}
       161:{3,5,6}:{(130,1),(132,1),(187,1),(189,1),(190,1)}
       162:{3,5,7}:{(130,1),(131,1),(133,1),(190,1)}
       163:{3,4,6,7}:{(131,1),(134,1),(190,1),(191,1),(222,1)}
       164:{1,2,4,5,7}:{(132,1),(135,1),(138,1),(147,1),(184,1),(189,1),(192,1),(197,1),(216,1),(223,1),(229,1),(230,1)}
       165:{1,2,4,6}:{(133,1),(136,1),(139,1),(148,1),(185,1),(190,1),(193,1),(198,1),(217,1),(222,1)}
       166:{1,2,5,7}:{(134,1),(137,1),(140,1),(191,1),(193,1),(223,1),(229,1)}
       167:{2,4,6,7}:{(135,1),(136,1),(141,1),(186,1),(194,1)}
       168:{2,5,6}:{(136,1),(137,1),(142,1)}
       169:{1,4,6,7}:{(138,1),(139,1),(141,1),(149,1),(195,1)}
       170:{1,5,6}:{(139,1),(140,1),(142,1)}
       171:{3,5,6,7}:{(141,1),(142,1),(194,1),(195,1),(196,1)}
       172:{4,5,6}:{(142,1),(143,1),(222,1)}
       173:{2,4,6}:{(144,1),(145,1),(187,1),(197,1)}
       174:{2,4,5,7}:{(144,1),(146,1),(188,1),(197,1),(198,1),(223,1)}
       175:{2,3,5,7}:{(145,1),(147,1),(150,1),(189,1),(197,1),(199,1),(223,1)}
       176:{2,3,6}:{(146,1),(148,1),(190,1),(198,1)}
       177:{1,2,6,7}:{(147,1),(148,1),(149,1),(199,1)}
       178:{1,3,5}:{(151,1),(152,1),(200,1)}
       179:{1,2,4,6}:{(152,1),(153,1),(156,1),(200,1),(201,1),(202,1)}
       180:{2,3,4,7}:{(153,1),(158,1),(201,1),(207,1)}
       181:{1,4,5}:{(154,1),(160,1),(202,1)}
       182:{1,3,5,6}:{(154,1),(156,1),(161,1),(200,1),(202,1),(204,1),(205,1),(225,1)}
       183:{1,3,5,7}:{(154,1),(155,1),(157,1),(162,1),(203,1),(205,1)}
       184:{1,2,5,7}:{(156,1),(158,1),(201,1),(204,1),(206,1)}
       185:{1,2,6}:{(157,1),(159,1),(205,1)}
       186:{2,3,6,7}:{(158,1),(159,1),(167,1),(206,1),(209,1)}
       187:{3,4,6}:{(160,1),(161,1),(173,1),(202,1),(207,1)}
       188:{3,4,5,7}:{(160,1),(162,1),(174,1),(203,1),(207,1),(208,1),(211,1),(226,1)}
       189:{3,5,7}:{(161,1),(164,1),(207,1),(209,1)}
       190:{3,6}:{(162,1),(165,1)}
       191:{3,5,7}:{(163,1),(166,1),(210,1),(211,1)}
       192:{1,2,4,6,7}:{(164,1),(165,1),(167,1),(169,1),(177,1),(206,1),(209,1),(212,1),(213,1),(224,1),(228,1)}
       193:{1,2,5,6}:{(165,1),(166,1),(168,1),(170,1),(210,1),(214,1),(225,1)}
       194:{2,5,6,7}:{(167,1),(168,1),(171,1)}
       195:{1,5,6,7}:{(169,1),(170,1),(171,1)}
       196:{4,5,6,7}:{(171,1),(172,1),(228,1)}
       197:{2,4,7}:{(173,1),(175,1),(207,1)}
       198:{2,4,6}:{(174,1),(176,1),(208,1),(214,1)}
       199:{2,3,6,7}:{(175,1),(176,1),(177,1),(209,1),(213,1)}
       200:{1,3,6}:{(178,1),(179,1),(215,1)}
       201:{1,2,4,7}:{(179,1),(180,1),(184,1),(215,1),(216,1)}
       202:{1,4,6}:{(181,1),(182,1),(187,1),(216,1)}
       203:{1,4,5,7}:{(181,1),(183,1),(188,1),(216,1),(217,1),(229,1)}
       204:{1,3,5,7}:{(182,1),(184,1),(189,1),(215,1),(216,1),(218,1),(229,1)}
       205:{1,3,6}:{(183,1),(185,1),(190,1),(217,1)}
       206:{1,2,6,7}:{(184,1),(185,1),(186,1),(218,1)}
       207:{3,4,7}:{(187,1),(189,1),(197,1),(216,1)}
       208:{3,4,6}:{(188,1),(190,1),(198,1),(217,1),(220,1),(222,1)}
       209:{3,6,7}:{(189,1),(190,1),(192,1)}
       210:{3,5,6}:{(190,1),(191,1),(193,1),(222,1)}
       211:{4,5,7}:{(191,1),(222,1)}
       212:{1,2,5,6,7}:{(192,1),(193,1),(194,1),(195,1),(221,1),(223,1),(229,1)}
       213:{2,4,6,7}:{(197,1),(198,1),(199,1),(219,1),(223,1)}
       214:{2,5,6}:{(198,1),(220,1),(223,1)}
       215:{1,3,7}:{(200,1),(201,1)}
       216:{1,4,7}:{(202,1),(204,1),(207,1)}
       217:{1,4,6}:{(203,1),(205,1),(208,1),(225,1)}
       218:{1,3,6,7}:{(204,1),(205,1),(206,1),(209,1),(224,1)}
       219:{3,4,6,7}:{(207,1),(208,1),(209,1),(213,1),(224,1),(226,1),(228,1)}
       220:{3,5,6}:{(208,1),(214,1),(225,1),(226,1),(227,1)}
       221:{3,5,6,7}:{(209,1),(210,1),(212,1),(226,1),(228,1)}
       222:{4,6}:{(210,1),(211,1)}
       223:{2,5,7}:{(213,1),(214,1),(226,1)}
       224:{1,4,6,7}:{(216,1),(217,1),(218,1),(219,1),(229,1)}
       225:{1,5,6}:{(217,1),(220,1),(229,1)}
       226:{3,5,7}:{(219,1),(220,1),(223,1),(229,1),(230,1)}
       227:{4,5,6}:{(220,1),(222,1),(230,1)}
       228:{4,6,7}:{(221,1),(222,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(226,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

 841 :   0:{1,3,5,6}:{(2,1),(3,1),(4,1),(18,1),(22,1),(50,1),(55,1),(56,1),(94,1),(96,1),(125,1),(150,1)}
         1:{2,3,5,6}:{(2,1),(5,1),(6,1),(20,1),(22,1),(51,1),(58,1),(59,1),(95,1),(96,1),(126,1),(150,1)}
         2:{1,2,5,6}:{(0,1),(1,1),(9,1),(10,1),(33,1),(36,1),(72,1),(77,1),(79,1),(112,1),(139,1)}
         3:{1,4,6}:{(0,1),(7,1),(11,1),(12,1),(69,1),(115,1),(159,1)}
         4:{1,3,5,7}:{(0,1),(10,1),(12,1),(13,1),(34,1),(41,1),(45,1),(84,1)}
         5:{2,4,6}:{(1,1),(8,1),(14,1),(15,1),(70,1),(115,1),(159,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(15,1),(16,1),(37,1),(41,1),(48,1),(84,1)}
         7:{1,4,5}:{(3,1),(18,1),(125,1),(127,1)}
         8:{2,4,5}:{(5,1),(20,1),(126,1),(127,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(5,1),(17,1),(22,1),(23,1),(25,1),(28,1),(60,1),(89,1)}
        10:{1,2,5,7}:{(2,1),(4,1),(6,1),(23,1),(24,1),(54,1),(57,1)}
        11:{3,4,6}:{(3,1),(18,1),(22,1),(25,1),(26,1),(49,1),(55,1)}
        12:{1,4,7}:{(3,1),(4,1),(26,1),(104,1)}
        13:{1,3,6,7}:{(4,1),(24,1),(27,1),(55,1),(63,1),(94,1),(157,1)}
        14:{3,4,6}:{(5,1),(20,1),(22,1),(28,1),(29,1),(49,1),(58,1)}
        15:{2,4,7}:{(5,1),(6,1),(29,1),(104,1)}
        16:{2,3,6,7}:{(6,1),(24,1),(30,1),(58,1),(63,1),(95,1),(158,1)}
        17:{1,2,4,5}:{(7,1),(8,1),(9,1),(31,1),(33,1),(36,1),(69,1),(70,1),(72,1),(139,1),(159,1)}
        18:{3,5}:{(7,1),(11,1),(33,1)}
        19:{1,4,5,7}:{(7,1),(12,1),(34,1),(35,1),(45,1),(86,1)}
        20:{3,5}:{(8,1),(14,1),(36,1)}
        21:{2,4,5,7}:{(8,1),(15,1),(37,1),(38,1),(48,1),(88,1)}
        22:{3,6}:{(9,1),(31,1),(41,1),(107,1)}
        23:{1,2,4,7}:{(9,1),(10,1),(12,1),(15,1),(41,1),(43,1),(46,1),(81,1)}
        24:{1,2,6,7}:{(10,1),(13,1),(16,1),(77,1),(79,1),(112,1),(165,1)}
        25:{2,4,6}:{(11,1),(33,1),(40,1),(43,1),(70,1),(77,1)}
        26:{3,4,7}:{(11,1),(12,1),(34,1),(41,1),(43,1)}
        27:{1,4,6,7}:{(12,1),(13,1),(35,1),(44,1),(45,1),(109,1),(145,1),(149,1)}
        28:{1,4,6}:{(14,1),(36,1),(39,1),(46,1),(69,1),(79,1)}
        29:{3,4,7}:{(14,1),(15,1),(37,1),(41,1),(46,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(38,1),(47,1),(48,1),(110,1),(146,1),(148,1)}
        31:{3,5}:{(17,1),(22,1),(49,1)}
        32:{1,2,4,5,7}:{(17,1),(19,1),(21,1),(23,1),(52,1),(53,1),(54,1),(57,1),(64,1),(90,1),(91,1),(93,1),(104,1),(105,1),(106,1),(125,1),(126,1),(127,1),(133,1),(136,1),(137,1),(151,1)}
        33:{2,5}:{(18,1),(25,1)}
        34:{3,5,7}:{(18,1),(19,1),(26,1),(54,1),(55,1)}
        35:{1,4,6}:{(19,1),(55,1),(56,1),(98,1)}
        36:{1,5}:{(20,1),(28,1)}
        37:{3,5,7}:{(20,1),(21,1),(29,1),(57,1),(58,1)}
        38:{2,4,6}:{(21,1),(58,1),(59,1),(100,1)}
        39:{1,3,6}:{(22,1),(28,1),(50,1),(60,1),(61,1)}
        40:{2,3,6}:{(22,1),(25,1),(51,1),(60,1),(62,1)}
        41:{3,7}:{(22,1),(23,1)}
        42:{1,2,4,6,7}:{(23,1),(24,1),(27,1),(30,1),(53,1),(63,1),(64,1),(65,1),(67,1),(101,1),(104,1),(124,1),(133,1)}
        43:{2,4,7}:{(25,1),(26,1),(54,1),(62,1)}
        44:{3,4,6,7}:{(26,1),(27,1),(55,1),(63,1),(65,1),(66,1),(92,1),(98,1),(104,1),(131,1),(135,1)}
        45:{1,5,7}:{(27,1),(56,1),(66,1),(125,1)}
        46:{1,4,7}:{(28,1),(29,1),(57,1),(61,1)}
        47:{3,4,6,7}:{(29,1),(30,1),(58,1),(63,1),(67,1),(68,1),(92,1),(100,1),(104,1),(132,1),(134,1)}
        48:{2,5,7}:{(30,1),(59,1),(68,1),(126,1)}
        49:{3,4}:{(31,1),(69,1),(70,1),(107,1),(159,1)}
        50:{1,3,5}:{(31,1),(36,1),(39,1),(69,1),(72,1),(107,1)}
        51:{2,3,5}:{(31,1),(33,1),(40,1),(70,1),(72,1),(107,1)}
        52:{3,5,7}:{(31,1),(32,1),(41,1),(71,1),(75,1),(111,1),(147,1),(160,1)}
        53:{1,2,4,6}:{(32,1),(35,1),(38,1),(75,1),(76,1),(77,1),(79,1),(109,1),(110,1),(112,1),(115,1),(116,1),(117,1),(145,1),(146,1)}
        54:{2,5,7}:{(33,1),(34,1),(43,1),(77,1)}
        55:{3,6}:{(34,1),(35,1),(77,1)}
        56:{1,5,6}:{(35,1),(45,1),(78,1),(145,1)}
        57:{1,5,7}:{(36,1),(37,1),(46,1),(79,1)}
        58:{3,6}:{(37,1),(38,1),(79,1)}
        59:{2,5,6}:{(38,1),(48,1),(80,1),(146,1)}
        60:{1,2,6}:{(39,1),(40,1),(72,1),(81,1)}
        61:{1,3,7}:{(39,1),(41,1),(46,1),(81,1)}
        62:{2,3,7}:{(40,1),(41,1),(43,1),(81,1)}
        63:{3,6,7}:{(41,1),(42,1),(75,1),(84,1),(138,1),(147,1)}
        64:{1,2,5,7}:{(42,1),(45,1),(48,1),(76,1),(84,1),(85,1),(87,1),(139,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(77,1),(83,1),(85,1),(110,1),(116,1),(120,1)}
        66:{3,5,7}:{(44,1),(45,1),(78,1),(85,1),(86,1),(111,1)}
        67:{1,4,6,7}:{(46,1),(47,1),(79,1),(82,1),(87,1),(109,1),(117,1),(119,1)}
        68:{3,5,7}:{(47,1),(48,1),(80,1),(87,1),(88,1),(111,1)}
        69:{1,4}:{(49,1),(50,1)}
        70:{2,4}:{(49,1),(51,1)}
        71:{3,4,7}:{(49,1),(52,1),(90,1),(91,1),(92,1),(104,1),(123,1),(166,1)}
        72:{1,2,5}:{(50,1),(51,1),(60,1),(89,1)}
        73:{1,3,5,7}:{(50,1),(52,1),(57,1),(61,1),(90,1),(93,1),(94,1),(123,1),(125,1),(136,1),(150,1),(157,1),(167,1)}
        74:{2,3,5,7}:{(51,1),(52,1),(54,1),(62,1),(91,1),(93,1),(95,1),(123,1),(126,1),(137,1),(150,1),(158,1),(168,1)}
        75:{3,6}:{(52,1),(53,1)}
        76:{1,2,5,6}:{(53,1),(56,1),(59,1),(64,1),(96,1),(97,1),(99,1),(125,1),(126,1)}
        77:{2,6}:{(54,1),(55,1)}
        78:{3,5,6}:{(55,1),(56,1),(66,1),(97,1),(98,1),(131,1)}
        79:{1,6}:{(57,1),(58,1)}
        80:{3,5,6}:{(58,1),(59,1),(68,1),(99,1),(100,1),(132,1)}
        81:{1,2,7}:{(60,1),(61,1),(62,1)}
        82:{1,3,6,7}:{(61,1),(63,1),(67,1),(94,1),(101,1),(102,1),(132,1)}
        83:{2,3,6,7}:{(62,1),(63,1),(65,1),(95,1),(101,1),(103,1),(131,1)}
        84:{3,5,7}:{(63,1),(64,1),(96,1),(104,1),(150,1)}
        85:{2,5,7}:{(65,1),(66,1),(97,1),(126,1)}
        86:{4,5,7}:{(66,1),(98,1),(104,1),(127,1)}
        87:{1,5,7}:{(67,1),(68,1),(99,1),(125,1)}
        88:{4,5,7}:{(68,1),(100,1),(104,1),(127,1)}
        89:{1,2,4}:{(69,1),(70,1),(72,1),(107,1)}
        90:{1,4,7}:{(69,1),(71,1),(73,1),(109,1),(159,1),(170,1)}
        91:{2,4,7}:{(70,1),(71,1),(74,1),(110,1),(159,1),(171,1)}
        92:{3,4,6}:{(71,1),(75,1),(109,1),(110,1),(111,1),(115,1),(138,1),(159,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(81,1),(108,1),(112,1),(139,1),(165,1),(172,1)}
        94:{1,3,6}:{(73,1),(75,1),(79,1),(109,1),(112,1),(138,1),(145,1)}
        95:{2,3,6}:{(74,1),(75,1),(77,1),(110,1),(112,1),(138,1),(146,1)}
        96:{3,5,6}:{(75,1),(76,1),(84,1),(111,1),(115,1)}
        97:{2,5,6}:{(77,1),(78,1),(85,1),(116,1)}
        98:{4,6}:{(78,1),(86,1)}
        99:{1,5,6}:{(79,1),(80,1),(87,1),(117,1)}
       100:{4,6}:{(80,1),(88,1)}
       101:{1,2,6,7}:{(81,1),(82,1),(83,1),(112,1),(118,1),(145,1),(146,1)}
       102:{1,3,5,7}:{(82,1),(84,1),(87,1),(113,1),(118,1),(119,1),(122,1),(147,1)}
       103:{2,3,5,7}:{(83,1),(84,1),(85,1),(114,1),(118,1),(120,1),(121,1),(147,1)}
       104:{4,7}:{(84,1),(115,1),(159,1)}
       105:{2,4,5,7}:{(85,1),(86,1),(116,1),(120,1),(121,1),(141,1)}
       106:{1,4,5,7}:{(87,1),(88,1),(117,1),(119,1),(122,1),(140,1)}
       107:{3}:{(89,1)}
       108:{1,2,4,7}:{(89,1),(90,1),(91,1),(93,1),(123,1),(124,1),(173,1)}
       109:{1,4,6}:{(90,1),(92,1),(94,1),(125,1)}
       110:{2,4,6}:{(91,1),(92,1),(95,1),(126,1)}
       111:{3,5}:{(92,1),(125,1),(126,1),(127,1)}
       112:{1,2,6}:{(93,1),(94,1),(95,1)}
       113:{1,3,5,6}:{(94,1),(96,1),(99,1),(102,1),(125,1),(128,1),(129,1),(132,1),(150,1),(152,1),(154,1),(167,1)}
       114:{2,3,5,6}:{(95,1),(96,1),(97,1),(103,1),(126,1),(128,1),(130,1),(131,1),(150,1),(153,1),(154,1),(168,1)}
       115:{4,6}:{(96,1),(104,1),(127,1)}
       116:{2,4,6}:{(97,1),(98,1),(105,1),(131,1)}
       117:{1,4,6}:{(99,1),(100,1),(106,1),(132,1)}
       118:{1,2,5,7}:{(101,1),(102,1),(103,1),(128,1),(133,1),(136,1),(137,1)}
       119:{1,4,7}:{(102,1),(104,1),(129,1),(134,1)}
       120:{2,4,7}:{(103,1),(104,1),(130,1),(135,1)}
       121:{3,5,7}:{(105,1),(131,1),(135,1),(136,1),(153,1)}
       122:{3,5,7}:{(106,1),(132,1),(134,1),(137,1),(152,1)}
       123:{3,7}:{(107,1),(108,1),(138,1),(174,1)}
       124:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(138,1),(139,1),(159,1)}
       125:{1,5}:{(109,1),(111,1)}
       126:{2,5}:{(110,1),(111,1)}
       127:{4,5}:{(111,1),(115,1),(159,1)}
       128:{1,2,5,6}:{(112,1),(113,1),(114,1),(118,1),(139,1),(142,1),(145,1),(146,1),(161,1),(162,1),(172,1)}
       129:{1,4,6}:{(113,1),(115,1),(119,1),(140,1),(143,1),(159,1),(170,1)}
       130:{2,4,6}:{(114,1),(115,1),(120,1),(141,1),(144,1),(159,1),(171,1)}
       131:{3,6}:{(116,1),(121,1),(145,1)}
       132:{3,6}:{(117,1),(122,1),(146,1)}
       133:{1,2,4,7}:{(118,1),(119,1),(120,1),(142,1),(147,1),(148,1),(149,1),(165,1)}
       134:{3,4,7}:{(119,1),(122,1),(143,1),(147,1),(148,1)}
       135:{3,4,7}:{(120,1),(121,1),(144,1),(147,1),(149,1)}
       136:{1,5,7}:{(121,1),(145,1),(149,1),(162,1)}
       137:{2,5,7}:{(122,1),(146,1),(148,1),(161,1)}
       138:{3,6}:{(123,1),(124,1),(150,1)}
       139:{1,2,5}:{(124,1),(125,1),(126,1),(150,1)}
       140:{1,4,5}:{(125,1),(127,1),(129,1),(152,1)}
       141:{2,4,5}:{(126,1),(127,1),(130,1),(153,1)}
       142:{1,2,4,6}:{(128,1),(129,1),(130,1),(133,1),(151,1),(154,1),(155,1),(156,1),(169,1),(173,1)}
       143:{3,4,6}:{(129,1),(132,1),(134,1),(152,1),(154,1),(155,1),(166,1)}
       144:{3,4,6}:{(130,1),(131,1),(135,1),(153,1),(154,1),(156,1),(166,1)}
       145:{1,6}:{(131,1),(136,1)}
       146:{2,6}:{(132,1),(137,1)}
       147:{3,7}:{(133,1),(154,1)}
       148:{2,4,7}:{(134,1),(137,1),(155,1),(158,1)}
       149:{1,4,7}:{(135,1),(136,1),(156,1),(157,1)}
       150:{3,5}:{(138,1),(139,1),(159,1)}
       151:{1,2,4,5}:{(139,1),(140,1),(141,1),(142,1),(159,1),(160,1),(161,1),(162,1),(170,1),(171,1),(172,1)}
       152:{3,5}:{(140,1),(143,1),(161,1)}
       153:{3,5}:{(141,1),(144,1),(162,1)}
       154:{3,6}:{(142,1),(147,1),(160,1),(174,1)}
       155:{2,4,6}:{(143,1),(146,1),(148,1),(161,1),(164,1),(171,1)}
       156:{1,4,6}:{(144,1),(145,1),(149,1),(162,1),(163,1),(170,1)}
       157:{1,3,7}:{(147,1),(149,1),(163,1),(165,1)}
       158:{2,3,7}:{(147,1),(148,1),(164,1),(165,1)}
       159:{4}:{(150,1)}
       160:{3,5}:{(151,1),(154,1),(166,1)}
       161:{2,5}:{(152,1),(155,1)}
       162:{1,5}:{(153,1),(156,1)}
       163:{1,3,6}:{(154,1),(156,1),(157,1),(167,1),(169,1)}
       164:{2,3,6}:{(154,1),(155,1),(158,1),(168,1),(169,1)}
       165:{1,2,7}:{(157,1),(158,1),(169,1)}
       166:{3,4}:{(159,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(160,1),(162,1),(163,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(160,1),(161,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(163,1),(164,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

 842 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(14,1),(18,1),(34,1),(38,1),(72,1),(73,1),(74,1),(102,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(62,1),(63,1),(87,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(27,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(57,1),(88,1),(101,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(15,1),(43,1),(95,1)}
         5:{3,4,6}:{(3,1),(10,1),(12,1),(13,1),(14,1),(47,1),(76,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(44,1),(45,1),(48,1),(74,1)}
         7:{3,5,7}:{(2,1),(3,1),(12,1),(15,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(16,1),(18,1),(32,1),(47,1),(66,1),(71,1),(72,1),(93,1),(95,1),(103,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(33,1),(47,1),(68,1),(69,1),(73,1),(91,1),(95,1),(102,1)}
        10:{3,4,5}:{(5,1),(20,1),(21,1),(57,1),(101,1)}
        11:{4,6,7}:{(4,1),(24,1),(100,1)}
        12:{3,4,7}:{(5,1),(7,1),(26,1),(27,1),(65,1)}
        13:{1,4,6}:{(5,1),(8,1),(20,1),(26,1),(86,1),(100,1)}
        14:{2,4,6}:{(5,1),(9,1),(21,1),(27,1),(83,1),(100,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(26,1),(29,1),(31,1),(62,1),(65,1),(90,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(27,1),(30,1),(31,1),(63,1),(65,1),(90,1)}
        18:{1,2,5,6}:{(8,1),(9,1),(28,1),(31,1),(50,1),(52,1),(81,1),(84,1)}
        19:{3,4,5,7}:{(10,1),(12,1),(35,1),(36,1),(37,1),(43,1),(75,1),(97,1),(104,1)}
        20:{1,4,5}:{(10,1),(13,1),(32,1),(103,1),(104,1)}
        21:{2,4,5}:{(10,1),(14,1),(33,1),(102,1),(104,1)}
        22:{1,3,4,6}:{(13,1),(32,1),(39,1),(40,1),(47,1),(66,1),(76,1),(96,1)}
        23:{2,3,4,6}:{(14,1),(33,1),(41,1),(42,1),(47,1),(69,1),(76,1),(96,1)}
        24:{4,5,7}:{(11,1),(34,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(15,1),(35,1),(43,1),(44,1),(45,1),(80,1),(96,1),(97,1)}
        26:{1,4,7}:{(12,1),(13,1),(16,1),(97,1)}
        27:{2,4,7}:{(12,1),(14,1),(17,1),(97,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(18,1),(38,1),(46,1),(47,1)}
        29:{1,3,6,7}:{(15,1),(16,1),(44,1),(48,1),(66,1),(80,1),(93,1)}
        30:{2,3,6,7}:{(15,1),(17,1),(45,1),(48,1),(69,1),(80,1),(91,1)}
        31:{1,2,5,7}:{(16,1),(17,1),(18,1),(46,1),(48,1)}
        32:{1,3,5}:{(20,1),(22,1),(50,1),(57,1),(101,1)}
        33:{2,3,5}:{(21,1),(23,1),(52,1),(57,1),(101,1)}
        34:{4,5,6}:{(24,1),(53,1),(100,1)}
        35:{3,4,6}:{(19,1),(53,1),(54,1),(55,1),(88,1),(100,1)}
        36:{1,4,5,7}:{(19,1),(20,1),(26,1),(49,1),(54,1),(62,1)}
        37:{2,4,5,7}:{(19,1),(21,1),(27,1),(51,1),(55,1),(63,1)}
        38:{1,2,4,5}:{(20,1),(21,1),(28,1),(50,1),(52,1),(57,1),(83,1),(86,1)}
        39:{1,3,4,7}:{(22,1),(26,1),(49,1),(58,1),(65,1),(89,1)}
        40:{1,2,4,6}:{(22,1),(50,1),(58,1),(59,1),(81,1),(83,1),(98,1)}
        41:{2,3,4,7}:{(23,1),(27,1),(51,1),(60,1),(65,1),(89,1)}
        42:{1,2,4,6}:{(23,1),(52,1),(60,1),(61,1),(84,1),(86,1),(99,1)}
        43:{3,5,7}:{(24,1),(25,1),(53,1),(62,1),(63,1),(101,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(54,1),(62,1),(99,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(55,1),(63,1),(98,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(28,1),(31,1),(65,1)}
        47:{3,6}:{(28,1),(57,1),(65,1)}
        48:{1,2,6,7}:{(29,1),(30,1),(31,1),(81,1),(84,1)}
        49:{1,3,5,7}:{(32,1),(36,1),(39,1),(66,1),(67,1),(75,1)}
        50:{1,2,5}:{(32,1),(40,1),(68,1),(102,1)}
        51:{2,3,5,7}:{(33,1),(37,1),(41,1),(69,1),(70,1),(75,1)}
        52:{1,2,5}:{(33,1),(42,1),(71,1),(103,1)}
        53:{3,5,6}:{(34,1),(35,1),(43,1),(72,1),(73,1)}
        54:{1,4,6}:{(35,1),(36,1),(66,1),(72,1)}
        55:{2,4,6}:{(35,1),(37,1),(69,1),(73,1)}
        56:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(46,1),(67,1),(70,1),(74,1),(75,1),(79,1),(92,1),(94,1),(97,1),(102,1),(103,1),(104,1)}
        57:{3,5}:{(38,1),(47,1),(76,1)}
        58:{1,2,4,7}:{(39,1),(40,1),(67,1),(77,1),(92,1)}
        59:{2,3,6}:{(40,1),(47,1),(68,1),(77,1)}
        60:{1,2,4,7}:{(41,1),(42,1),(70,1),(78,1),(94,1)}
        61:{1,3,6}:{(42,1),(47,1),(71,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(72,1),(103,1)}
        63:{2,5,7}:{(43,1),(45,1),(73,1),(102,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(48,1),(74,1),(79,1),(80,1),(97,1)}
        65:{3,7}:{(46,1),(47,1)}
        66:{1,3,6}:{(49,1),(54,1),(81,1),(88,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(58,1),(81,1),(82,1)}
        68:{2,3,5}:{(50,1),(57,1),(59,1),(83,1)}
        69:{2,3,6}:{(51,1),(55,1),(84,1),(88,1)}
        70:{1,2,5,7}:{(51,1),(52,1),(60,1),(84,1),(85,1)}
        71:{1,3,5}:{(52,1),(57,1),(61,1),(86,1)}
        72:{1,5,6}:{(53,1),(54,1),(62,1)}
        73:{2,5,6}:{(53,1),(55,1),(63,1)}
        74:{1,2,4,6}:{(54,1),(55,1),(56,1),(81,1),(84,1),(87,1),(88,1),(98,1),(99,1),(100,1)}
        75:{3,5,7}:{(56,1),(57,1),(65,1),(88,1),(89,1),(101,1)}
        76:{3,4}:{(57,1),(83,1),(86,1)}
        77:{2,3,7}:{(58,1),(59,1),(65,1)}
        78:{1,3,7}:{(60,1),(61,1),(65,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(87,1),(90,1)}
        80:{3,6,7}:{(64,1),(65,1),(88,1),(90,1)}
        81:{1,2,6}:{(66,1),(67,1),(91,1)}
        82:{2,3,5,7}:{(67,1),(68,1),(75,1),(77,1),(91,1),(92,1),(102,1)}
        83:{2,4}:{(68,1),(76,1)}
        84:{1,2,6}:{(69,1),(70,1),(93,1)}
        85:{1,3,5,7}:{(70,1),(71,1),(75,1),(78,1),(93,1),(94,1),(103,1)}
        86:{1,4}:{(71,1),(76,1)}
        87:{1,2,5,6}:{(72,1),(73,1),(74,1),(79,1),(95,1),(102,1),(103,1)}
        88:{3,6}:{(74,1),(75,1)}
        89:{3,4,7}:{(75,1),(76,1),(92,1),(94,1),(96,1),(97,1)}
        90:{3,5,7}:{(79,1),(80,1),(95,1),(97,1)}
        91:{2,3,6}:{(81,1),(82,1),(88,1),(98,1)}
        92:{2,4,7}:{(82,1),(83,1),(89,1),(98,1)}
        93:{1,3,6}:{(84,1),(85,1),(88,1),(99,1)}
        94:{1,4,7}:{(85,1),(86,1),(89,1),(99,1)}
        95:{3,5,6}:{(87,1),(88,1),(90,1),(100,1),(101,1)}
        96:{3,4,6}:{(88,1),(89,1),(98,1),(99,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(100,1)}
        98:{2,4,6}:{(91,1),(92,1),(96,1),(102,1)}
        99:{1,4,6}:{(93,1),(94,1),(96,1),(103,1)}
       100:{4,6}:{(95,1),(97,1),(104,1)}
       101:{3,5}:{(96,1),(102,1),(103,1),(104,1)}
       102:{2,5}:{(98,1),(101,1)}
       103:{1,5}:{(99,1),(101,1)}
       104:{4,5}:{(100,1),(101,1)}

 843 :   0:{1,2,5,6,7}:{(1,1),(2,1),(30,1),(31,1),(59,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(17,1),(75,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(19,1),(24,1),(74,1)}
         3:{1,2,4,5,6}:{(5,1),(7,1),(16,1),(25,1),(26,1),(27,1),(42,1),(43,1),(50,1),(74,1),(97,1),(103,1),(104,1)}
         4:{4,6,7}:{(1,1),(8,1),(88,1)}
         5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(10,1),(30,1),(31,1),(35,1),(36,1),(37,1)}
         6:{3,6,7}:{(2,1),(10,1),(87,1)}
         7:{3,5,6}:{(3,1),(10,1),(13,1),(66,1),(87,1),(102,1)}
         8:{4,5,7}:{(4,1),(16,1),(17,1),(79,1),(97,1)}
         9:{3,4,6,7}:{(4,1),(6,1),(17,1),(18,1),(19,1),(21,1),(41,1),(47,1),(79,1),(96,1)}
        10:{3,5,7}:{(5,1),(6,1),(7,1),(21,1)}
        11:{1,3,6,7}:{(6,1),(18,1),(22,1),(24,1),(47,1),(72,1),(95,1)}
        12:{2,3,6,7}:{(6,1),(19,1),(23,1),(24,1),(47,1),(73,1),(94,1)}
        13:{3,4,6}:{(7,1),(20,1),(21,1),(25,1),(26,1),(56,1),(82,1)}
        14:{1,3,5,6}:{(7,1),(22,1),(25,1),(27,1),(42,1),(48,1),(56,1),(72,1),(75,1),(81,1),(95,1),(104,1)}
        15:{2,3,5,6}:{(7,1),(23,1),(26,1),(27,1),(43,1),(49,1),(56,1),(73,1),(75,1),(80,1),(94,1),(103,1)}
        16:{4,5,6}:{(8,1),(28,1),(88,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(30,1),(31,1),(102,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(30,1),(35,1),(57,1),(101,1)}
        19:{2,4,6,7}:{(9,1),(12,1),(31,1),(36,1),(58,1),(100,1)}
        20:{3,4,5}:{(13,1),(33,1),(34,1),(66,1),(102,1)}
        21:{3,4,7}:{(10,1),(13,1),(35,1),(36,1),(69,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(30,1),(35,1),(37,1),(63,1),(69,1)}
        23:{2,3,5,7}:{(10,1),(12,1),(15,1),(31,1),(36,1),(37,1),(63,1),(69,1)}
        24:{1,2,6,7}:{(11,1),(12,1),(37,1),(85,1),(86,1)}
        25:{1,4,6}:{(13,1),(14,1),(33,1),(35,1),(88,1),(93,1)}
        26:{2,4,6}:{(13,1),(15,1),(34,1),(36,1),(88,1),(92,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(37,1),(40,1),(64,1),(65,1),(85,1),(86,1)}
        28:{3,5,6}:{(16,1),(17,1),(41,1),(42,1),(43,1)}
        29:{3,4,5,7}:{(17,1),(20,1),(21,1),(41,1),(44,1),(45,1),(78,1),(79,1),(97,1)}
        30:{1,5,7}:{(17,1),(18,1),(42,1),(104,1)}
        31:{2,5,7}:{(17,1),(19,1),(43,1),(103,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(24,1),(46,1),(47,1),(53,1),(74,1),(79,1)}
        33:{1,4,5}:{(20,1),(25,1),(48,1),(97,1),(104,1)}
        34:{2,4,5}:{(20,1),(26,1),(49,1),(97,1),(103,1)}
        35:{1,4,7}:{(21,1),(22,1),(25,1),(79,1)}
        36:{2,4,7}:{(21,1),(23,1),(26,1),(79,1)}
        37:{1,2,5,7}:{(22,1),(23,1),(24,1),(27,1),(53,1)}
        38:{1,3,4,6}:{(25,1),(48,1),(51,1),(54,1),(56,1),(72,1),(82,1),(96,1)}
        39:{2,3,4,6}:{(26,1),(49,1),(52,1),(55,1),(56,1),(73,1),(82,1),(96,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(50,1),(53,1),(56,1)}
        41:{3,4,6}:{(28,1),(29,1),(57,1),(58,1),(87,1),(88,1)}
        42:{1,5,6}:{(28,1),(30,1),(57,1)}
        43:{2,5,6}:{(28,1),(31,1),(58,1)}
        44:{1,4,5,7}:{(29,1),(30,1),(33,1),(35,1),(57,1),(60,1)}
        45:{2,4,5,7}:{(29,1),(31,1),(34,1),(36,1),(58,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(32,1),(59,1),(63,1)}
        47:{3,6,7}:{(32,1),(63,1),(69,1),(87,1)}
        48:{1,3,5}:{(33,1),(38,1),(64,1),(66,1),(102,1)}
        49:{2,3,5}:{(34,1),(39,1),(65,1),(66,1),(102,1)}
        50:{1,2,4,5}:{(33,1),(34,1),(40,1),(64,1),(65,1),(66,1),(92,1),(93,1)}
        51:{1,3,4,7}:{(35,1),(38,1),(60,1),(67,1),(69,1),(91,1)}
        52:{2,3,4,7}:{(36,1),(39,1),(61,1),(68,1),(69,1),(91,1)}
        53:{1,2,4,7}:{(35,1),(36,1),(37,1),(40,1),(69,1)}
        54:{1,2,4,6}:{(38,1),(64,1),(67,1),(70,1),(85,1),(92,1),(100,1)}
        55:{1,2,4,6}:{(39,1),(65,1),(68,1),(71,1),(86,1),(93,1),(101,1)}
        56:{3,6}:{(40,1),(66,1),(69,1)}
        57:{1,4,6}:{(41,1),(42,1),(44,1),(72,1)}
        58:{2,4,6}:{(41,1),(43,1),(45,1),(73,1)}
        59:{1,2,5,6}:{(42,1),(43,1),(46,1),(74,1),(75,1),(103,1),(104,1)}
        60:{1,3,5,7}:{(44,1),(48,1),(51,1),(72,1),(76,1),(78,1)}
        61:{2,3,5,7}:{(45,1),(49,1),(52,1),(73,1),(77,1),(78,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(53,1),(74,1),(76,1),(77,1),(78,1),(79,1),(97,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5,7}:{(46,1),(47,1),(75,1),(79,1)}
        64:{1,2,5}:{(48,1),(54,1),(80,1),(103,1)}
        65:{1,2,5}:{(49,1),(55,1),(81,1),(104,1)}
        66:{3,5}:{(50,1),(56,1),(82,1)}
        67:{1,2,4,7}:{(51,1),(54,1),(76,1),(83,1),(98,1)}
        68:{1,2,4,7}:{(52,1),(55,1),(77,1),(84,1),(99,1)}
        69:{3,7}:{(53,1),(56,1)}
        70:{2,3,6}:{(54,1),(56,1),(80,1),(83,1)}
        71:{1,3,6}:{(55,1),(56,1),(81,1),(84,1)}
        72:{1,3,6}:{(57,1),(60,1),(85,1),(87,1)}
        73:{2,3,6}:{(58,1),(61,1),(86,1),(87,1)}
        74:{1,2,4,6}:{(57,1),(58,1),(59,1),(62,1),(85,1),(86,1),(87,1),(88,1),(100,1),(101,1)}
        75:{3,5,6}:{(59,1),(63,1),(87,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(60,1),(64,1),(67,1),(85,1),(89,1)}
        77:{1,2,5,7}:{(61,1),(65,1),(68,1),(86,1),(90,1)}
        78:{3,5,7}:{(62,1),(66,1),(69,1),(87,1),(91,1),(102,1)}
        79:{4,7}:{(63,1),(88,1)}
        80:{2,3,5}:{(64,1),(66,1),(70,1),(92,1)}
        81:{1,3,5}:{(65,1),(66,1),(71,1),(93,1)}
        82:{3,4}:{(66,1),(92,1),(93,1)}
        83:{2,3,7}:{(67,1),(69,1),(70,1)}
        84:{1,3,7}:{(68,1),(69,1),(71,1)}
        85:{1,2,6}:{(72,1),(76,1),(94,1)}
        86:{1,2,6}:{(73,1),(77,1),(95,1)}
        87:{3,6}:{(74,1),(78,1)}
        88:{4,6}:{(75,1),(79,1),(97,1)}
        89:{2,3,5,7}:{(76,1),(78,1),(80,1),(83,1),(94,1),(98,1),(103,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(81,1),(84,1),(95,1),(99,1),(104,1)}
        91:{3,4,7}:{(78,1),(79,1),(82,1),(96,1),(98,1),(99,1)}
        92:{2,4}:{(80,1),(82,1)}
        93:{1,4}:{(81,1),(82,1)}
        94:{2,3,6}:{(85,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(86,1),(87,1),(90,1),(101,1)}
        96:{3,4,6}:{(87,1),(88,1),(91,1),(100,1),(101,1),(102,1)}
        97:{4,5}:{(88,1),(102,1)}
        98:{2,4,7}:{(89,1),(91,1),(92,1),(100,1)}
        99:{1,4,7}:{(90,1),(91,1),(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(96,1),(98,1),(103,1)}
       101:{1,4,6}:{(95,1),(96,1),(99,1),(104,1)}
       102:{3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{1,5}:{(101,1),(102,1)}

 844 :   0:{1,2,4,5,6}:{(1,1),(2,1),(9,1),(10,1),(12,1),(36,1),(75,1),(76,1),(77,1),(78,1),(102,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(55,1),(88,1),(100,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(24,1),(26,1),(62,1),(63,1),(64,1)}
         3:{3,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(40,1),(73,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(12,1),(13,1),(33,1),(40,1),(65,1),(71,1),(76,1),(92,1),(96,1),(102,1)}
         5:{2,3,5,6}:{(1,1),(10,1),(12,1),(14,1),(30,1),(40,1),(67,1),(69,1),(77,1),(94,1),(96,1),(103,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(15,1)}
         7:{1,2,4,6,7}:{(2,1),(15,1),(16,1),(42,1),(43,1),(45,1),(46,1),(75,1)}
         8:{3,4,5}:{(3,1),(19,1),(20,1),(55,1),(100,1)}
         9:{1,4,6}:{(3,1),(4,1),(19,1),(23,1),(81,1),(101,1)}
        10:{2,4,6}:{(3,1),(5,1),(20,1),(24,1),(84,1),(101,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(24,1),(60,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(22,1),(26,1),(47,1),(51,1),(83,1),(86,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(23,1),(26,1),(27,1),(60,1),(62,1),(90,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(24,1),(26,1),(28,1),(60,1),(63,1),(90,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,2,5,6,7}:{(7,1),(29,1),(62,1),(63,1),(89,1)}
        17:{2,3,4,6}:{(10,1),(30,1),(31,1),(32,1),(40,1),(67,1),(73,1),(95,1)}
        18:{1,3,4,6}:{(9,1),(33,1),(34,1),(35,1),(40,1),(71,1),(73,1),(95,1)}
        19:{1,4,5}:{(8,1),(9,1),(33,1),(102,1),(104,1)}
        20:{2,4,5}:{(8,1),(10,1),(30,1),(103,1),(104,1)}
        21:{3,4,5,7}:{(8,1),(11,1),(37,1),(38,1),(39,1),(44,1),(74,1),(97,1),(104,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(12,1),(36,1),(40,1),(41,1)}
        23:{1,4,7}:{(9,1),(11,1),(13,1),(97,1)}
        24:{2,4,7}:{(10,1),(11,1),(14,1),(97,1)}
        25:{3,4,6,7}:{(11,1),(15,1),(39,1),(42,1),(43,1),(44,1),(46,1),(79,1),(95,1),(97,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(14,1),(41,1),(45,1)}
        27:{1,3,6,7}:{(13,1),(15,1),(42,1),(45,1),(71,1),(79,1),(92,1)}
        28:{2,3,6,7}:{(14,1),(15,1),(43,1),(45,1),(67,1),(79,1),(94,1)}
        29:{3,5,6,7}:{(15,1),(16,1),(44,1),(46,1),(96,1)}
        30:{2,3,5}:{(17,1),(20,1),(47,1),(55,1),(100,1)}
        31:{1,2,4,6}:{(17,1),(47,1),(49,1),(50,1),(81,1),(83,1),(98,1)}
        32:{2,3,4,7}:{(17,1),(24,1),(48,1),(50,1),(60,1),(87,1)}
        33:{1,3,5}:{(18,1),(19,1),(51,1),(55,1),(100,1)}
        34:{1,2,4,6}:{(18,1),(51,1),(53,1),(54,1),(84,1),(86,1),(99,1)}
        35:{1,3,4,7}:{(18,1),(23,1),(52,1),(54,1),(60,1),(87,1)}
        36:{1,2,4,5}:{(19,1),(20,1),(22,1),(47,1),(51,1),(55,1),(81,1),(84,1)}
        37:{1,4,5,7}:{(19,1),(21,1),(23,1),(52,1),(57,1),(62,1)}
        38:{2,4,5,7}:{(20,1),(21,1),(24,1),(48,1),(58,1),(63,1)}
        39:{3,4,6}:{(21,1),(57,1),(58,1),(59,1),(88,1),(101,1)}
        40:{3,6}:{(22,1),(55,1),(60,1)}
        41:{1,2,4,7}:{(22,1),(23,1),(24,1),(26,1),(60,1)}
        42:{1,4,6,7}:{(23,1),(25,1),(27,1),(57,1),(62,1),(98,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(28,1),(58,1),(63,1),(99,1)}
        44:{3,5,7}:{(25,1),(59,1),(62,1),(63,1),(64,1),(100,1)}
        45:{1,2,6,7}:{(26,1),(27,1),(28,1),(83,1),(86,1)}
        46:{4,6,7}:{(29,1),(64,1),(101,1)}
        47:{1,2,5}:{(30,1),(31,1),(65,1),(102,1)}
        48:{2,3,5,7}:{(30,1),(32,1),(38,1),(66,1),(67,1),(74,1)}
        49:{1,3,6}:{(31,1),(40,1),(65,1),(68,1)}
        50:{1,2,4,7}:{(31,1),(32,1),(66,1),(68,1),(91,1)}
        51:{1,2,5}:{(33,1),(34,1),(69,1),(103,1)}
        52:{1,3,5,7}:{(33,1),(35,1),(37,1),(70,1),(71,1),(74,1)}
        53:{2,3,6}:{(34,1),(40,1),(69,1),(72,1)}
        54:{1,2,4,7}:{(34,1),(35,1),(70,1),(72,1),(93,1)}
        55:{3,5}:{(36,1),(40,1),(73,1)}
        56:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(41,1),(66,1),(70,1),(74,1),(75,1),(80,1),(91,1),(93,1),(97,1),(102,1),(103,1),(104,1)}
        57:{1,4,6}:{(37,1),(39,1),(71,1),(76,1)}
        58:{2,4,6}:{(38,1),(39,1),(67,1),(77,1)}
        59:{3,5,6}:{(39,1),(44,1),(76,1),(77,1),(78,1)}
        60:{3,7}:{(40,1),(41,1)}
        61:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(45,1),(75,1),(79,1),(80,1),(97,1)}
        62:{1,5,7}:{(42,1),(44,1),(76,1),(102,1)}
        63:{2,5,7}:{(43,1),(44,1),(77,1),(103,1)}
        64:{4,5,7}:{(44,1),(46,1),(78,1),(97,1),(104,1)}
        65:{1,3,5}:{(47,1),(49,1),(55,1),(81,1)}
        66:{1,2,5,7}:{(47,1),(48,1),(50,1),(82,1),(83,1)}
        67:{2,3,6}:{(48,1),(58,1),(83,1),(88,1)}
        68:{1,3,7}:{(49,1),(50,1),(60,1)}
        69:{2,3,5}:{(51,1),(53,1),(55,1),(84,1)}
        70:{1,2,5,7}:{(51,1),(52,1),(54,1),(85,1),(86,1)}
        71:{1,3,6}:{(52,1),(57,1),(86,1),(88,1)}
        72:{2,3,7}:{(53,1),(54,1),(60,1)}
        73:{3,4}:{(55,1),(81,1),(84,1)}
        74:{3,5,7}:{(55,1),(56,1),(60,1),(87,1),(88,1),(100,1)}
        75:{1,2,4,6}:{(56,1),(57,1),(58,1),(83,1),(86,1),(88,1),(89,1),(98,1),(99,1),(101,1)}
        76:{1,5,6}:{(57,1),(59,1),(62,1)}
        77:{2,5,6}:{(58,1),(59,1),(63,1)}
        78:{4,5,6}:{(59,1),(64,1),(101,1)}
        79:{3,6,7}:{(60,1),(61,1),(88,1),(90,1)}
        80:{1,2,5,7}:{(61,1),(62,1),(63,1),(89,1),(90,1)}
        81:{1,4}:{(65,1),(73,1)}
        82:{1,3,5,7}:{(65,1),(66,1),(68,1),(74,1),(91,1),(92,1),(102,1)}
        83:{1,2,6}:{(66,1),(67,1),(92,1)}
        84:{2,4}:{(69,1),(73,1)}
        85:{2,3,5,7}:{(69,1),(70,1),(72,1),(74,1),(93,1),(94,1),(103,1)}
        86:{1,2,6}:{(70,1),(71,1),(94,1)}
        87:{3,4,7}:{(73,1),(74,1),(91,1),(93,1),(95,1),(97,1)}
        88:{3,6}:{(74,1),(75,1)}
        89:{1,2,5,6}:{(75,1),(76,1),(77,1),(80,1),(96,1),(102,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{1,4,7}:{(81,1),(82,1),(87,1),(98,1)}
        92:{1,3,6}:{(82,1),(83,1),(88,1),(98,1)}
        93:{2,4,7}:{(84,1),(85,1),(87,1),(99,1)}
        94:{2,3,6}:{(85,1),(86,1),(88,1),(99,1)}
        95:{3,4,6}:{(87,1),(88,1),(98,1),(99,1),(100,1),(101,1)}
        96:{3,5,6}:{(88,1),(89,1),(90,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{1,4,6}:{(91,1),(92,1),(95,1),(102,1)}
        99:{2,4,6}:{(93,1),(94,1),(95,1),(103,1)}
       100:{3,5}:{(95,1),(102,1),(103,1),(104,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{1,5}:{(98,1),(100,1)}
       103:{2,5}:{(99,1),(100,1)}
       104:{4,5}:{(100,1),(101,1)}

 845 :   0:{3,4,5,6}:{(1,1),(2,1),(3,1),(22,1),(151,1),(162,1),(204,1)}
         1:{3,4,5,7}:{(0,1),(7,1),(8,1),(9,1),(38,1),(130,1)}
         2:{1,4,5,6}:{(0,1),(4,1),(8,1),(169,1),(211,1)}
         3:{2,4,5,6}:{(0,1),(5,1),(9,1),(175,1),(214,1)}
         4:{1,3,5,6}:{(2,1),(12,1),(14,1),(15,1),(22,1),(140,1),(196,1)}
         5:{2,3,5,6}:{(3,1),(13,1),(16,1),(17,1),(22,1),(146,1),(201,1)}
         6:{4,5,6,7}:{(18,1),(100,1),(225,1)}
         7:{3,4,6,7}:{(1,1),(18,1),(19,1),(20,1),(54,1),(100,1),(204,1)}
         8:{1,4,5,7}:{(1,1),(2,1),(14,1),(19,1)}
         9:{2,4,5,7}:{(1,1),(3,1),(16,1),(20,1)}
        10:{1,2,4,5,6}:{(2,1),(3,1),(15,1),(17,1),(21,1),(22,1),(49,1),(52,1),(93,1),(156,1),(158,1),(160,1),(162,1)}
        11:{2,3,4,5}:{(13,1),(23,1),(56,1),(104,1),(146,1)}
        12:{1,3,4,6}:{(4,1),(24,1),(25,1),(26,1),(39,1)}
        13:{2,3,4,6}:{(5,1),(11,1),(27,1),(28,1),(39,1)}
        14:{1,3,5,7}:{(4,1),(8,1),(25,1),(29,1),(30,1),(38,1)}
        15:{1,2,5,6}:{(4,1),(26,1),(30,1),(31,1),(111,1),(172,1)}
        16:{2,3,5,7}:{(5,1),(9,1),(27,1),(32,1),(33,1),(38,1)}
        17:{1,2,5,6}:{(5,1),(28,1),(33,1),(34,1),(116,1),(178,1)}
        18:{3,5,6,7}:{(6,1),(7,1),(35,1),(36,1),(217,1)}
        19:{1,4,6,7}:{(7,1),(8,1),(29,1),(35,1),(211,1)}
        20:{2,4,6,7}:{(7,1),(9,1),(32,1),(36,1),(214,1)}
        21:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(30,1),(33,1),(37,1),(38,1),(69,1),(72,1),(124,1),(127,1),(130,1)}
        22:{3,5,6}:{(10,1),(38,1),(39,1),(120,1),(184,1)}
        23:{1,2,4,5}:{(11,1),(28,1),(40,1),(73,1),(78,1),(116,1)}
        24:{1,3,4,5}:{(12,1),(41,1),(56,1),(136,1),(140,1)}
        25:{1,3,4,7}:{(12,1),(14,1),(42,1),(55,1)}
        26:{1,2,4,6}:{(12,1),(15,1),(41,1),(42,1),(43,1),(49,1)}
        27:{2,3,4,7}:{(13,1),(16,1),(44,1),(55,1)}
        28:{1,2,4,6}:{(13,1),(17,1),(23,1),(44,1),(45,1),(52,1)}
        29:{1,3,6,7}:{(14,1),(19,1),(47,1),(54,1),(196,1)}
        30:{1,2,5,7}:{(14,1),(15,1),(42,1),(47,1),(48,1)}
        31:{2,3,5,6}:{(15,1),(22,1),(43,1),(48,1),(49,1),(85,1),(143,1),(158,1)}
        32:{2,3,6,7}:{(16,1),(20,1),(50,1),(54,1),(201,1)}
        33:{1,2,5,7}:{(16,1),(17,1),(44,1),(50,1),(51,1)}
        34:{1,3,5,6}:{(17,1),(22,1),(45,1),(51,1),(52,1),(89,1),(149,1),(160,1)}
        35:{1,5,6,7}:{(18,1),(19,1),(221,1)}
        36:{2,5,6,7}:{(18,1),(20,1),(223,1)}
        37:{1,2,4,6,7}:{(19,1),(20,1),(21,1),(47,1),(50,1),(53,1),(54,1),(94,1),(97,1),(100,1),(156,1)}
        38:{3,5,7}:{(21,1),(22,1),(54,1),(55,1)}
        39:{3,4,6}:{(22,1),(49,1),(52,1),(55,1),(56,1)}
        40:{1,3,5}:{(23,1),(45,1),(58,1)}
        41:{1,2,4,5}:{(24,1),(26,1),(59,1),(70,1),(107,1),(111,1)}
        42:{1,2,4,7}:{(25,1),(26,1),(30,1),(61,1),(69,1)}
        43:{2,3,6}:{(26,1),(59,1),(61,1)}
        44:{1,2,4,7}:{(27,1),(28,1),(33,1),(64,1),(72,1)}
        45:{1,3,6}:{(28,1),(40,1),(64,1)}
        46:{1,2,3,5,6}:{(31,1),(34,1),(60,1),(63,1),(66,1),(67,1),(111,1),(116,1),(120,1),(171,1),(172,1),(177,1),(178,1),(184,1),(186,1)}
        47:{1,2,6,7}:{(29,1),(30,1),(68,1),(172,1)}
        48:{2,3,5,7}:{(30,1),(31,1),(38,1),(61,1),(68,1),(69,1),(124,1)}
        49:{2,4,6}:{(31,1),(39,1),(69,1),(70,1)}
        50:{1,2,6,7}:{(32,1),(33,1),(71,1),(178,1)}
        51:{1,3,5,7}:{(33,1),(34,1),(38,1),(64,1),(71,1),(72,1),(127,1)}
        52:{1,4,6}:{(34,1),(39,1),(72,1),(73,1)}
        53:{1,2,5,6,7}:{(35,1),(36,1),(37,1),(74,1),(124,1),(127,1),(186,1)}
        54:{3,6,7}:{(37,1),(38,1),(184,1)}
        55:{3,4,7}:{(38,1),(39,1),(69,1),(72,1)}
        56:{3,4,5}:{(39,1),(70,1),(73,1),(120,1)}
        57:{1,2,3,5}:{(40,1),(63,1),(78,1),(116,1),(133,1)}
        58:{1,3,4}:{(40,1),(78,1)}
        59:{2,3,5}:{(41,1),(43,1),(81,1)}
        60:{1,2,3,6}:{(43,1),(80,1),(82,1),(83,1),(192,1)}
        61:{2,3,7}:{(42,1),(43,1)}
        62:{2,3,4,6}:{(43,1),(49,1),(81,1),(83,1),(84,1),(85,1),(90,1),(143,1)}
        63:{1,2,3,6}:{(45,1),(57,1),(86,1),(87,1),(164,1)}
        64:{1,3,7}:{(44,1),(45,1)}
        65:{1,3,4,6}:{(45,1),(52,1),(58,1),(87,1),(88,1),(89,1),(90,1),(149,1)}
        66:{1,2,3,5,7}:{(46,1),(48,1),(51,1),(82,1),(86,1),(91,1),(92,1),(141,1),(147,1),(153,1),(155,1),(197,1),(202,1)}
        67:{1,2,4,6}:{(46,1),(49,1),(52,1),(90,1),(92,1),(93,1),(195,1),(200,1)}
        68:{2,3,6,7}:{(47,1),(48,1),(54,1),(94,1),(143,1)}
        69:{2,4,7}:{(48,1),(49,1),(55,1)}
        70:{2,4,5}:{(49,1),(56,1),(85,1)}
        71:{1,3,6,7}:{(50,1),(51,1),(54,1),(97,1),(149,1)}
        72:{1,4,7}:{(51,1),(52,1),(55,1)}
        73:{1,4,5}:{(52,1),(56,1),(89,1)}
        74:{3,5,6,7}:{(53,1),(54,1),(100,1),(101,1),(207,1)}
        75:{3,4,6,7}:{(54,1),(55,1),(94,1),(97,1),(100,1),(101,1),(102,1)}
        76:{3,4,5,7}:{(55,1),(56,1),(95,1),(98,1),(101,1),(102,1),(153,1),(206,1)}
        77:{3,4,5,6}:{(56,1),(96,1),(99,1),(102,1),(103,1),(154,1),(225,1)}
        78:{1,2,4}:{(57,1),(58,1),(104,1)}
        79:{1,3,4,5}:{(58,1),(89,1),(105,1),(106,1),(151,1)}
        80:{1,2,3,5}:{(59,1),(60,1),(107,1),(111,1),(166,1)}
        81:{2,3,4}:{(59,1),(107,1)}
        82:{1,2,3,7}:{(60,1),(61,1),(110,1),(210,1)}
        83:{1,2,4,6}:{(60,1),(62,1),(107,1),(109,1),(110,1),(111,1),(172,1)}
        84:{2,3,4,7}:{(61,1),(62,1),(69,1),(110,1),(112,1),(119,1)}
        85:{2,3,5}:{(62,1),(70,1),(111,1),(120,1)}
        86:{1,2,3,7}:{(63,1),(64,1),(115,1),(191,1)}
        87:{1,2,4,6}:{(63,1),(65,1),(78,1),(114,1),(115,1),(116,1),(178,1)}
        88:{1,3,4,7}:{(64,1),(65,1),(72,1),(115,1),(117,1),(119,1)}
        89:{1,3,5}:{(65,1),(73,1),(116,1),(120,1)}
        90:{3,4,6}:{(67,1),(119,1),(120,1),(184,1)}
        91:{1,2,3,6,7}:{(66,1),(68,1),(71,1),(121,1),(172,1),(178,1),(184,1),(213,1),(216,1)}
        92:{1,2,4,7}:{(66,1),(67,1),(69,1),(72,1),(119,1),(212,1),(215,1)}
        93:{1,2,4,5}:{(67,1),(70,1),(73,1),(111,1),(116,1),(120,1),(169,1),(175,1)}
        94:{2,4,6,7}:{(68,1),(69,1),(75,1),(124,1),(125,1)}
        95:{2,4,5,7}:{(69,1),(70,1),(76,1),(112,1),(124,1),(125,1)}
        96:{2,4,5,6}:{(70,1),(77,1),(113,1),(125,1),(126,1)}
        97:{1,4,6,7}:{(71,1),(72,1),(75,1),(127,1),(128,1)}
        98:{1,4,5,7}:{(72,1),(73,1),(76,1),(117,1),(127,1),(128,1)}
        99:{1,4,5,6}:{(73,1),(77,1),(118,1),(128,1),(129,1)}
       100:{4,6,7}:{(74,1),(130,1),(219,1)}
       101:{3,5,7}:{(75,1),(124,1),(127,1),(130,1),(131,1)}
       102:{3,4,6}:{(76,1),(125,1),(128,1),(131,1),(184,1),(219,1)}
       103:{3,4,5,7}:{(77,1),(126,1),(129,1),(132,1),(185,1),(230,1)}
       104:{2,3,4}:{(78,1),(133,1)}
       105:{1,2,4,5}:{(78,1),(79,1),(116,1),(133,1),(134,1),(175,1)}
       106:{1,3,4,6}:{(79,1),(118,1),(134,1),(135,1),(182,1)}
       107:{1,2,4}:{(80,1),(81,1),(136,1)}
       108:{2,3,4,5}:{(81,1),(85,1),(137,1),(138,1),(151,1)}
       109:{1,3,4,6}:{(83,1),(90,1),(136,1),(139,1),(140,1),(192,1),(195,1),(196,1)}
       110:{1,2,4,7}:{(82,1),(83,1),(84,1),(139,1),(141,1)}
       111:{1,2,5}:{(83,1),(85,1),(140,1)}
       112:{2,3,5,7}:{(84,1),(85,1),(95,1),(141,1),(143,1),(153,1)}
       113:{2,3,5,6}:{(85,1),(96,1),(138,1),(142,1),(143,1),(144,1),(154,1)}
       114:{2,3,4,6}:{(87,1),(90,1),(104,1),(145,1),(146,1),(164,1),(200,1),(201,1)}
       115:{1,2,4,7}:{(86,1),(87,1),(88,1),(145,1),(147,1)}
       116:{1,2,5}:{(87,1),(89,1),(146,1)}
       117:{1,3,5,7}:{(88,1),(89,1),(98,1),(147,1),(149,1),(153,1)}
       118:{1,3,5,6}:{(89,1),(99,1),(106,1),(148,1),(149,1),(150,1),(154,1)}
       119:{3,4,7}:{(90,1),(92,1),(153,1)}
       120:{3,5}:{(90,1),(93,1)}
       121:{1,2,4,6,7}:{(91,1),(92,1),(94,1),(97,1),(152,1),(155,1),(156,1),(222,1),(224,1)}
       122:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(98,1),(141,1),(147,1),(153,1),(155,1),(156,1),(194,1),(199,1),(206,1)}
       123:{1,2,4,5,6}:{(93,1),(96,1),(99,1),(142,1),(148,1),(154,1),(156,1),(157,1),(195,1),(200,1),(221,1),(223,1),(225,1)}
       124:{2,5,7}:{(94,1),(101,1),(158,1)}
       125:{2,4,6}:{(95,1),(102,1),(143,1),(158,1)}
       126:{2,4,5,7}:{(96,1),(103,1),(144,1),(159,1)}
       127:{1,5,7}:{(97,1),(101,1),(160,1)}
       128:{1,4,6}:{(98,1),(102,1),(149,1),(160,1)}
       129:{1,4,5,7}:{(99,1),(103,1),(150,1),(161,1)}
       130:{4,5,7}:{(100,1),(101,1),(162,1)}
       131:{3,5,6}:{(101,1),(102,1),(158,1),(160,1),(162,1)}
       132:{3,4,6,7}:{(102,1),(103,1),(159,1),(161,1),(163,1),(208,1),(227,1)}
       133:{2,3,5}:{(104,1),(105,1),(164,1)}
       134:{1,2,4,6}:{(105,1),(106,1),(148,1),(164,1),(165,1),(200,1)}
       135:{1,3,4,7}:{(106,1),(150,1),(165,1),(205,1)}
       136:{1,3,4}:{(107,1),(166,1)}
       137:{1,2,4,5}:{(107,1),(108,1),(111,1),(166,1),(167,1),(169,1)}
       138:{2,3,4,6}:{(108,1),(113,1),(167,1),(168,1),(182,1)}
       139:{1,3,4,7}:{(109,1),(110,1),(119,1),(170,1),(210,1),(212,1)}
       140:{1,3,5}:{(109,1),(111,1),(120,1),(169,1)}
       141:{1,2,5,7}:{(110,1),(111,1),(112,1),(170,1),(172,1)}
       142:{1,2,5,6}:{(111,1),(113,1),(167,1),(171,1),(172,1),(173,1)}
       143:{2,3,6}:{(112,1),(125,1),(172,1),(184,1)}
       144:{2,3,5,7}:{(113,1),(126,1),(168,1),(173,1),(174,1),(185,1)}
       145:{2,3,4,7}:{(114,1),(115,1),(119,1),(176,1),(191,1),(215,1)}
       146:{2,3,5}:{(114,1),(116,1),(120,1),(175,1)}
       147:{1,2,5,7}:{(115,1),(116,1),(117,1),(176,1),(178,1)}
       148:{1,2,5,6}:{(116,1),(118,1),(134,1),(177,1),(178,1),(179,1)}
       149:{1,3,6}:{(117,1),(128,1),(178,1),(184,1)}
       150:{1,3,5,7}:{(118,1),(129,1),(135,1),(179,1),(180,1),(185,1)}
       151:{3,4,5}:{(120,1),(169,1),(175,1),(182,1)}
       152:{3,4,6,7}:{(119,1),(121,1),(183,1),(184,1),(219,1)}
       153:{3,5,7}:{(119,1),(120,1),(122,1),(184,1)}
       154:{3,5,6}:{(120,1),(123,1),(182,1),(184,1),(185,1)}
       155:{1,2,5,7}:{(121,1),(124,1),(127,1),(183,1),(186,1),(228,1),(229,1)}
       156:{1,2,4,6}:{(122,1),(125,1),(128,1),(172,1),(178,1),(184,1),(186,1),(211,1),(214,1),(219,1)}
       157:{1,2,4,5,7}:{(123,1),(126,1),(129,1),(173,1),(179,1),(185,1),(187,1),(212,1),(215,1),(228,1),(229,1),(230,1)}
       158:{2,5,6}:{(124,1),(125,1),(131,1)}
       159:{2,4,6,7}:{(125,1),(126,1),(132,1),(174,1),(188,1)}
       160:{1,5,6}:{(127,1),(128,1),(131,1)}
       161:{1,4,6,7}:{(128,1),(129,1),(132,1),(180,1),(189,1)}
       162:{4,5,6}:{(130,1),(131,1),(219,1)}
       163:{3,5,6,7}:{(131,1),(132,1),(188,1),(189,1),(190,1)}
       164:{2,3,6}:{(133,1),(134,1),(191,1)}
       165:{1,2,4,7}:{(134,1),(135,1),(179,1),(191,1),(215,1)}
       166:{1,3,5}:{(136,1),(137,1),(192,1)}
       167:{1,2,4,6}:{(137,1),(138,1),(142,1),(192,1),(193,1),(195,1)}
       168:{2,3,4,7}:{(138,1),(144,1),(193,1),(205,1)}
       169:{1,4,5}:{(140,1),(151,1),(195,1)}
       170:{1,3,5,7}:{(139,1),(140,1),(141,1),(153,1),(194,1),(196,1)}
       171:{1,3,5,6}:{(140,1),(142,1),(154,1),(192,1),(195,1),(196,1),(197,1),(221,1)}
       172:{1,2,6}:{(141,1),(143,1),(196,1)}
       173:{1,2,5,7}:{(142,1),(144,1),(193,1),(197,1),(198,1)}
       174:{2,3,6,7}:{(143,1),(144,1),(159,1),(198,1),(208,1)}
       175:{2,4,5}:{(146,1),(151,1),(200,1)}
       176:{2,3,5,7}:{(145,1),(146,1),(147,1),(153,1),(199,1),(201,1)}
       177:{2,3,5,6}:{(146,1),(148,1),(154,1),(164,1),(200,1),(201,1),(202,1),(223,1)}
       178:{1,2,6}:{(147,1),(149,1),(201,1)}
       179:{1,2,5,7}:{(148,1),(150,1),(165,1),(202,1),(203,1)}
       180:{1,3,6,7}:{(149,1),(150,1),(161,1),(203,1),(208,1)}
       181:{3,4,5,7}:{(151,1),(153,1),(194,1),(199,1),(204,1),(205,1),(206,1),(226,1)}
       182:{3,4,6}:{(151,1),(154,1),(195,1),(200,1),(205,1)}
       183:{3,5,7}:{(152,1),(155,1),(206,1),(207,1)}
       184:{3,6}:{(153,1),(156,1)}
       185:{3,5,7}:{(154,1),(157,1),(205,1),(208,1)}
       186:{1,2,5,6}:{(155,1),(156,1),(158,1),(160,1),(207,1),(221,1),(223,1)}
       187:{1,2,4,6,7}:{(156,1),(157,1),(159,1),(161,1),(198,1),(203,1),(208,1),(209,1),(222,1),(224,1),(227,1)}
       188:{2,5,6,7}:{(158,1),(159,1),(163,1)}
       189:{1,5,6,7}:{(160,1),(161,1),(163,1)}
       190:{4,5,6,7}:{(162,1),(163,1),(227,1)}
       191:{2,3,7}:{(164,1),(165,1)}
       192:{1,3,6}:{(166,1),(167,1),(210,1)}
       193:{1,2,4,7}:{(167,1),(168,1),(173,1),(210,1),(212,1)}
       194:{1,4,5,7}:{(169,1),(170,1),(181,1),(211,1),(212,1),(228,1)}
       195:{1,4,6}:{(169,1),(171,1),(182,1),(212,1)}
       196:{1,3,6}:{(170,1),(172,1),(184,1),(211,1)}
       197:{1,3,5,7}:{(171,1),(173,1),(185,1),(210,1),(212,1),(213,1),(228,1)}
       198:{1,2,6,7}:{(172,1),(173,1),(174,1),(213,1)}
       199:{2,4,5,7}:{(175,1),(176,1),(181,1),(214,1),(215,1),(229,1)}
       200:{2,4,6}:{(175,1),(177,1),(182,1),(215,1)}
       201:{2,3,6}:{(176,1),(178,1),(184,1),(214,1)}
       202:{2,3,5,7}:{(177,1),(179,1),(185,1),(191,1),(215,1),(216,1),(229,1)}
       203:{1,2,6,7}:{(178,1),(179,1),(180,1),(216,1)}
       204:{3,4,6}:{(181,1),(184,1),(211,1),(214,1),(217,1),(219,1)}
       205:{3,4,7}:{(182,1),(185,1),(212,1),(215,1)}
       206:{4,5,7}:{(183,1),(219,1)}
       207:{3,5,6}:{(183,1),(184,1),(186,1),(219,1)}
       208:{3,6,7}:{(184,1),(185,1),(187,1)}
       209:{1,2,5,6,7}:{(186,1),(187,1),(188,1),(189,1),(220,1),(228,1),(229,1)}
       210:{1,3,7}:{(192,1),(193,1)}
       211:{1,4,6}:{(194,1),(196,1),(204,1),(221,1)}
       212:{1,4,7}:{(195,1),(197,1),(205,1)}
       213:{1,3,6,7}:{(196,1),(197,1),(198,1),(208,1),(222,1)}
       214:{2,4,6}:{(199,1),(201,1),(204,1),(223,1)}
       215:{2,4,7}:{(200,1),(202,1),(205,1)}
       216:{2,3,6,7}:{(201,1),(202,1),(203,1),(208,1),(224,1)}
       217:{3,5,6}:{(204,1),(221,1),(223,1),(225,1),(226,1)}
       218:{3,4,6,7}:{(204,1),(205,1),(208,1),(222,1),(224,1),(226,1),(227,1)}
       219:{4,6}:{(206,1),(207,1)}
       220:{3,5,6,7}:{(207,1),(208,1),(209,1),(226,1),(227,1)}
       221:{1,5,6}:{(211,1),(217,1),(228,1)}
       222:{1,4,6,7}:{(211,1),(212,1),(213,1),(218,1),(228,1)}
       223:{2,5,6}:{(214,1),(217,1),(229,1)}
       224:{2,4,6,7}:{(214,1),(215,1),(216,1),(218,1),(229,1)}
       225:{4,5,6}:{(217,1),(219,1),(230,1)}
       226:{3,5,7}:{(217,1),(218,1),(228,1),(229,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(226,1)}
       229:{2,5,7}:{(223,1),(224,1),(226,1)}
       230:{4,5,7}:{(225,1),(226,1),(227,1)}

 846 :   0:{4,5,6,7}:{(1,1),(28,1),(207,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(4,1),(219,1)}
         2:{3,4,6,7}:{(1,1),(6,1),(7,1),(8,1),(27,1),(28,1),(205,1)}
         3:{1,5,6,7}:{(1,1),(7,1),(224,1)}
         4:{2,5,6,7}:{(1,1),(8,1),(226,1)}
         5:{3,4,5,6}:{(6,1),(10,1),(11,1),(33,1),(61,1),(169,1),(205,1)}
         6:{3,4,5,7}:{(2,1),(5,1),(12,1),(13,1),(40,1),(44,1)}
         7:{1,4,6,7}:{(2,1),(3,1),(12,1),(14,1),(215,1)}
         8:{2,4,6,7}:{(2,1),(4,1),(13,1),(15,1),(217,1)}
         9:{1,2,5,6,7}:{(3,1),(4,1),(16,1),(17,1),(78,1),(79,1),(131,1)}
        10:{1,4,5,6}:{(5,1),(12,1),(18,1),(188,1),(215,1)}
        11:{2,4,5,6}:{(5,1),(13,1),(19,1),(191,1),(217,1)}
        12:{1,4,5,7}:{(6,1),(7,1),(10,1),(22,1)}
        13:{2,4,5,7}:{(6,1),(8,1),(11,1),(23,1)}
        14:{1,3,6,7}:{(7,1),(22,1),(25,1),(27,1),(200,1)}
        15:{2,3,6,7}:{(8,1),(23,1),(26,1),(27,1),(203,1)}
        16:{1,2,4,6,7}:{(7,1),(8,1),(9,1),(24,1),(25,1),(26,1),(27,1),(28,1),(58,1),(59,1),(157,1)}
        17:{3,5,6,7}:{(9,1),(27,1),(28,1),(60,1),(161,1)}
        18:{1,3,5,6}:{(10,1),(22,1),(29,1),(31,1),(33,1),(163,1),(200,1)}
        19:{2,3,5,6}:{(11,1),(23,1),(30,1),(32,1),(33,1),(166,1),(203,1)}
        20:{1,2,4,5,6}:{(10,1),(11,1),(24,1),(31,1),(32,1),(33,1),(61,1),(65,1),(66,1),(104,1),(105,1),(112,1),(157,1)}
        21:{2,3,4,5}:{(30,1),(34,1),(67,1),(116,1),(166,1)}
        22:{1,3,5,7}:{(12,1),(14,1),(18,1),(36,1),(38,1),(40,1)}
        23:{2,3,5,7}:{(13,1),(15,1),(19,1),(37,1),(39,1),(40,1)}
        24:{1,2,4,5,7}:{(12,1),(13,1),(16,1),(20,1),(38,1),(39,1),(40,1),(44,1),(74,1),(75,1),(78,1),(79,1)}
        25:{1,2,6,7}:{(14,1),(38,1),(41,1),(178,1)}
        26:{1,2,6,7}:{(15,1),(39,1),(42,1),(181,1)}
        27:{3,6,7}:{(16,1),(40,1),(184,1)}
        28:{4,6,7}:{(17,1),(44,1),(186,1)}
        29:{1,3,4,6}:{(18,1),(35,1),(36,1),(45,1),(49,1)}
        30:{2,3,4,6}:{(19,1),(21,1),(37,1),(46,1),(49,1)}
        31:{1,2,5,6}:{(18,1),(38,1),(45,1),(47,1),(135,1),(178,1)}
        32:{1,2,5,6}:{(19,1),(39,1),(46,1),(48,1),(138,1),(181,1)}
        33:{3,5,6}:{(20,1),(40,1),(49,1),(140,1),(184,1)}
        34:{1,2,4,5}:{(21,1),(46,1),(50,1),(88,1),(90,1),(138,1)}
        35:{1,3,4,5}:{(29,1),(51,1),(67,1),(147,1),(163,1)}
        36:{1,3,4,7}:{(22,1),(29,1),(52,1),(56,1)}
        37:{2,3,4,7}:{(23,1),(30,1),(53,1),(56,1)}
        38:{1,2,5,7}:{(22,1),(25,1),(31,1),(52,1),(54,1)}
        39:{1,2,5,7}:{(23,1),(26,1),(32,1),(53,1),(55,1)}
        40:{3,5,7}:{(24,1),(27,1),(33,1),(56,1)}
        41:{2,3,6,7}:{(25,1),(27,1),(54,1),(58,1),(152,1)}
        42:{1,3,6,7}:{(26,1),(27,1),(55,1),(59,1),(155,1)}
        43:{3,4,6,7}:{(27,1),(28,1),(56,1),(58,1),(59,1),(60,1),(101,1)}
        44:{4,5,7}:{(28,1),(60,1),(61,1)}
        45:{1,2,4,6}:{(29,1),(31,1),(51,1),(52,1),(62,1),(65,1)}
        46:{1,2,4,6}:{(30,1),(32,1),(34,1),(53,1),(63,1),(66,1)}
        47:{2,3,5,6}:{(31,1),(33,1),(54,1),(62,1),(65,1),(104,1),(108,1),(152,1)}
        48:{1,3,5,6}:{(32,1),(33,1),(55,1),(63,1),(66,1),(105,1),(110,1),(155,1)}
        49:{3,4,6}:{(33,1),(56,1),(65,1),(66,1),(67,1)}
        50:{1,3,5}:{(34,1),(63,1),(69,1)}
        51:{1,2,4,5}:{(35,1),(45,1),(70,1),(87,1),(119,1),(135,1)}
        52:{1,2,4,7}:{(36,1),(38,1),(45,1),(71,1),(74,1)}
        53:{1,2,4,7}:{(37,1),(39,1),(46,1),(72,1),(75,1)}
        54:{2,3,5,7}:{(38,1),(40,1),(41,1),(47,1),(71,1),(74,1),(78,1)}
        55:{1,3,5,7}:{(39,1),(40,1),(42,1),(48,1),(72,1),(75,1),(79,1)}
        56:{3,4,7}:{(40,1),(49,1),(74,1),(75,1)}
        57:{1,2,3,6,7}:{(41,1),(42,1),(73,1),(77,1),(178,1),(181,1),(184,1),(216,1),(218,1)}
        58:{2,4,6,7}:{(41,1),(43,1),(74,1),(78,1),(127,1)}
        59:{1,4,6,7}:{(42,1),(43,1),(75,1),(79,1),(128,1)}
        60:{3,5,7}:{(43,1),(44,1),(78,1),(79,1),(80,1)}
        61:{4,5,6}:{(44,1),(80,1),(186,1)}
        62:{2,3,6}:{(45,1),(70,1),(71,1)}
        63:{1,3,6}:{(46,1),(50,1),(72,1)}
        64:{1,2,3,5,6}:{(47,1),(48,1),(73,1),(82,1),(84,1),(86,1),(131,1),(135,1),(138,1),(140,1),(178,1),(181,1),(184,1),(189,1),(192,1)}
        65:{2,4,6}:{(47,1),(49,1),(74,1),(87,1)}
        66:{1,4,6}:{(48,1),(49,1),(75,1),(88,1)}
        67:{3,4,5}:{(49,1),(87,1),(88,1),(140,1)}
        68:{1,2,3,5}:{(50,1),(84,1),(90,1),(138,1),(144,1)}
        69:{1,3,4}:{(50,1),(90,1)}
        70:{2,3,5}:{(51,1),(62,1),(93,1)}
        71:{2,3,7}:{(52,1),(62,1)}
        72:{1,3,7}:{(53,1),(63,1)}
        73:{1,2,3,5,7}:{(54,1),(55,1),(57,1),(64,1),(94,1),(96,1),(98,1),(103,1),(151,1),(154,1),(156,1),(210,1),(212,1)}
        74:{2,4,7}:{(54,1),(56,1),(65,1)}
        75:{1,4,7}:{(55,1),(56,1),(66,1)}
        76:{3,4,5,7}:{(56,1),(60,1),(67,1),(99,1),(100,1),(101,1),(156,1),(160,1)}
        77:{1,2,4,6,7}:{(57,1),(58,1),(59,1),(98,1),(102,1),(103,1),(157,1),(225,1),(227,1)}
        78:{2,5,7}:{(58,1),(60,1),(104,1)}
        79:{1,5,7}:{(59,1),(60,1),(105,1)}
        80:{3,5,6}:{(60,1),(61,1),(101,1),(104,1),(105,1)}
        81:{4,5,6,7}:{(61,1),(106,1),(208,1)}
        82:{1,2,3,6}:{(62,1),(92,1),(94,1),(107,1),(197,1)}
        83:{2,3,4,6}:{(62,1),(65,1),(93,1),(95,1),(107,1),(108,1),(111,1),(152,1)}
        84:{1,2,3,6}:{(63,1),(68,1),(96,1),(109,1),(172,1)}
        85:{1,3,4,6}:{(63,1),(66,1),(69,1),(97,1),(109,1),(110,1),(111,1),(155,1)}
        86:{1,2,4,6}:{(64,1),(65,1),(66,1),(98,1),(111,1),(112,1),(209,1),(211,1)}
        87:{2,4,5}:{(65,1),(67,1),(108,1)}
        88:{1,4,5}:{(66,1),(67,1),(110,1)}
        89:{3,4,5,6}:{(67,1),(101,1),(113,1),(114,1),(115,1),(170,1),(207,1)}
        90:{1,2,4}:{(68,1),(69,1),(116,1)}
        91:{1,3,4,5}:{(69,1),(110,1),(117,1),(118,1),(169,1)}
        92:{1,2,3,5}:{(70,1),(82,1),(119,1),(135,1),(174,1)}
        93:{2,3,4}:{(70,1),(119,1)}
        94:{1,2,3,7}:{(71,1),(82,1),(121,1),(214,1)}
        95:{2,3,4,7}:{(71,1),(74,1),(83,1),(121,1),(122,1),(125,1)}
        96:{1,2,3,7}:{(72,1),(84,1),(123,1),(196,1)}
        97:{1,3,4,7}:{(72,1),(75,1),(85,1),(123,1),(124,1),(125,1)}
        98:{1,2,4,7}:{(73,1),(74,1),(75,1),(86,1),(125,1),(222,1),(223,1)}
        99:{2,4,5,7}:{(74,1),(76,1),(78,1),(87,1),(122,1),(127,1)}
       100:{1,4,5,7}:{(75,1),(76,1),(79,1),(88,1),(124,1),(128,1)}
       101:{3,4,6}:{(76,1),(80,1),(127,1),(128,1),(184,1),(186,1)}
       102:{3,4,6,7}:{(77,1),(125,1),(130,1),(184,1),(186,1)}
       103:{1,2,5,7}:{(77,1),(78,1),(79,1),(130,1),(131,1),(229,1),(230,1)}
       104:{2,5,6}:{(78,1),(80,1),(127,1)}
       105:{1,5,6}:{(79,1),(80,1),(128,1)}
       106:{3,5,6,7}:{(80,1),(81,1),(129,1),(132,1),(133,1)}
       107:{1,2,4,6}:{(82,1),(83,1),(119,1),(121,1),(134,1),(135,1),(178,1)}
       108:{2,3,5}:{(83,1),(87,1),(135,1),(140,1)}
       109:{1,2,4,6}:{(84,1),(85,1),(90,1),(123,1),(137,1),(138,1),(181,1)}
       110:{1,3,5}:{(85,1),(88,1),(138,1),(140,1)}
       111:{3,4,6}:{(86,1),(125,1),(140,1),(184,1)}
       112:{1,2,4,5}:{(86,1),(87,1),(88,1),(135,1),(138,1),(140,1),(188,1),(191,1)}
       113:{2,4,5,6}:{(87,1),(89,1),(127,1),(136,1),(142,1)}
       114:{1,4,5,6}:{(88,1),(89,1),(128,1),(139,1),(143,1)}
       115:{3,4,5,7}:{(89,1),(129,1),(142,1),(143,1),(195,1),(221,1)}
       116:{2,3,4}:{(90,1),(144,1)}
       117:{1,2,4,5}:{(90,1),(91,1),(138,1),(144,1),(145,1),(191,1)}
       118:{1,3,4,6}:{(91,1),(139,1),(145,1),(146,1),(194,1)}
       119:{1,2,4}:{(92,1),(93,1),(147,1)}
       120:{2,3,4,5}:{(93,1),(108,1),(148,1),(149,1),(169,1)}
       121:{1,2,4,7}:{(94,1),(95,1),(107,1),(150,1),(151,1)}
       122:{2,3,5,7}:{(95,1),(99,1),(108,1),(151,1),(152,1),(156,1)}
       123:{1,2,4,7}:{(96,1),(97,1),(109,1),(153,1),(154,1)}
       124:{1,3,5,7}:{(97,1),(100,1),(110,1),(154,1),(155,1),(156,1)}
       125:{3,4,7}:{(98,1),(111,1),(156,1)}
       126:{1,2,4,5,7}:{(98,1),(99,1),(100,1),(103,1),(112,1),(151,1),(154,1),(156,1),(157,1),(160,1),(199,1),(202,1)}
       127:{2,4,6}:{(99,1),(101,1),(104,1),(152,1)}
       128:{1,4,6}:{(100,1),(101,1),(105,1),(155,1)}
       129:{3,4,6,7}:{(101,1),(106,1),(115,1),(158,1),(159,1),(206,1),(208,1)}
       130:{3,5,7}:{(102,1),(103,1),(160,1),(161,1)}
       131:{1,2,5,6}:{(103,1),(104,1),(105,1),(157,1),(161,1),(224,1),(226,1)}
       132:{2,5,6,7}:{(104,1),(106,1),(158,1)}
       133:{1,5,6,7}:{(105,1),(106,1),(159,1)}
       134:{1,3,4,6}:{(107,1),(111,1),(147,1),(150,1),(163,1),(197,1),(200,1),(209,1)}
       135:{1,2,5}:{(107,1),(108,1),(163,1)}
       136:{2,3,5,6}:{(108,1),(113,1),(149,1),(152,1),(164,1),(165,1),(170,1)}
       137:{2,3,4,6}:{(109,1),(111,1),(116,1),(153,1),(166,1),(172,1),(203,1),(211,1)}
       138:{1,2,5}:{(109,1),(110,1),(166,1)}
       139:{1,3,5,6}:{(110,1),(114,1),(118,1),(155,1),(167,1),(168,1),(170,1)}
       140:{3,5}:{(111,1),(112,1)}
       141:{1,2,4,5,6}:{(112,1),(113,1),(114,1),(157,1),(164,1),(167,1),(170,1),(171,1),(207,1),(209,1),(211,1),(224,1),(226,1)}
       142:{2,4,5,7}:{(113,1),(115,1),(158,1),(165,1)}
       143:{1,4,5,7}:{(114,1),(115,1),(159,1),(168,1)}
       144:{2,3,5}:{(116,1),(117,1),(172,1)}
       145:{1,2,4,6}:{(117,1),(118,1),(167,1),(172,1),(173,1),(211,1)}
       146:{1,3,4,7}:{(118,1),(168,1),(173,1),(213,1)}
       147:{1,3,4}:{(119,1),(174,1)}
       148:{1,2,4,5}:{(119,1),(120,1),(135,1),(174,1),(175,1),(188,1)}
       149:{2,3,4,6}:{(120,1),(136,1),(175,1),(176,1),(194,1)}
       150:{1,3,4,7}:{(121,1),(125,1),(134,1),(177,1),(214,1),(222,1)}
       151:{1,2,5,7}:{(121,1),(122,1),(135,1),(177,1),(178,1)}
       152:{2,3,6}:{(122,1),(127,1),(178,1),(184,1)}
       153:{2,3,4,7}:{(123,1),(125,1),(137,1),(180,1),(196,1),(223,1)}
       154:{1,2,5,7}:{(123,1),(124,1),(138,1),(180,1),(181,1)}
       155:{1,3,6}:{(124,1),(128,1),(181,1),(184,1)}
       156:{3,5,7}:{(125,1),(126,1),(140,1),(184,1)}
       157:{1,2,4,6}:{(126,1),(127,1),(128,1),(131,1),(178,1),(181,1),(184,1),(186,1),(215,1),(217,1)}
       158:{2,4,6,7}:{(127,1),(129,1),(132,1),(142,1),(179,1)}
       159:{1,4,6,7}:{(128,1),(129,1),(133,1),(143,1),(182,1)}
       160:{4,5,7}:{(130,1),(186,1)}
       161:{3,5,6}:{(130,1),(131,1),(184,1),(186,1)}
       162:{1,2,5,6,7}:{(131,1),(132,1),(133,1),(185,1),(187,1),(229,1),(230,1)}
       163:{1,3,5}:{(134,1),(135,1),(140,1),(188,1)}
       164:{1,2,5,6}:{(135,1),(136,1),(175,1),(178,1),(189,1),(190,1)}
       165:{2,3,5,7}:{(136,1),(142,1),(176,1),(179,1),(190,1),(195,1)}
       166:{2,3,5}:{(137,1),(138,1),(140,1),(191,1)}
       167:{1,2,5,6}:{(138,1),(139,1),(145,1),(181,1),(192,1),(193,1)}
       168:{1,3,5,7}:{(139,1),(143,1),(146,1),(182,1),(193,1),(195,1)}
       169:{3,4,5}:{(140,1),(188,1),(191,1),(194,1)}
       170:{3,5,6}:{(140,1),(141,1),(184,1),(194,1),(195,1)}
       171:{1,2,4,5,7}:{(141,1),(142,1),(143,1),(185,1),(190,1),(193,1),(195,1),(221,1),(222,1),(223,1),(229,1),(230,1)}
       172:{2,3,6}:{(144,1),(145,1),(196,1)}
       173:{1,2,4,7}:{(145,1),(146,1),(193,1),(196,1),(223,1)}
       174:{1,3,5}:{(147,1),(148,1),(197,1)}
       175:{1,2,4,6}:{(148,1),(149,1),(164,1),(197,1),(198,1),(209,1)}
       176:{2,3,4,7}:{(149,1),(165,1),(198,1),(213,1)}
       177:{1,3,5,7}:{(150,1),(151,1),(156,1),(163,1),(199,1),(200,1)}
       178:{1,2,6}:{(151,1),(152,1),(200,1)}
       179:{2,3,6,7}:{(152,1),(158,1),(165,1),(201,1),(206,1)}
       180:{2,3,5,7}:{(153,1),(154,1),(156,1),(166,1),(202,1),(203,1)}
       181:{1,2,6}:{(154,1),(155,1),(203,1)}
       182:{1,3,6,7}:{(155,1),(159,1),(168,1),(204,1),(206,1)}
       183:{3,4,5,7}:{(156,1),(160,1),(169,1),(199,1),(202,1),(205,1),(213,1),(228,1)}
       184:{3,6}:{(156,1),(157,1)}
       185:{1,2,4,6,7}:{(157,1),(158,1),(159,1),(162,1),(171,1),(201,1),(204,1),(206,1),(208,1),(225,1),(227,1)}
       186:{4,6}:{(160,1),(161,1)}
       187:{3,5,6,7}:{(161,1),(162,1),(206,1),(208,1),(228,1)}
       188:{1,4,5}:{(163,1),(169,1),(209,1)}
       189:{1,3,5,6}:{(163,1),(164,1),(170,1),(197,1),(200,1),(209,1),(210,1),(224,1)}
       190:{1,2,5,7}:{(164,1),(165,1),(198,1),(201,1),(210,1)}
       191:{2,4,5}:{(166,1),(169,1),(211,1)}
       192:{2,3,5,6}:{(166,1),(167,1),(170,1),(172,1),(203,1),(211,1),(212,1),(226,1)}
       193:{1,2,5,7}:{(167,1),(168,1),(173,1),(204,1),(212,1)}
       194:{3,4,6}:{(169,1),(170,1),(209,1),(211,1),(213,1)}
       195:{3,5,7}:{(170,1),(171,1),(206,1),(213,1)}
       196:{2,3,7}:{(172,1),(173,1)}
       197:{1,3,6}:{(174,1),(175,1),(214,1)}
       198:{1,2,4,7}:{(175,1),(176,1),(190,1),(214,1),(222,1)}
       199:{1,4,5,7}:{(177,1),(183,1),(188,1),(215,1),(222,1),(229,1)}
       200:{1,3,6}:{(177,1),(178,1),(184,1),(215,1)}
       201:{1,2,6,7}:{(178,1),(179,1),(190,1),(216,1)}
       202:{2,4,5,7}:{(180,1),(183,1),(191,1),(217,1),(223,1),(230,1)}
       203:{2,3,6}:{(180,1),(181,1),(184,1),(217,1)}
       204:{1,2,6,7}:{(181,1),(182,1),(193,1),(218,1)}
       205:{3,4,6}:{(183,1),(184,1),(186,1),(215,1),(217,1),(219,1)}
       206:{3,6,7}:{(184,1),(185,1),(195,1)}
       207:{4,5,6}:{(186,1),(219,1),(221,1)}
       208:{4,6,7}:{(186,1),(187,1),(221,1)}
       209:{1,4,6}:{(188,1),(189,1),(194,1),(222,1)}
       210:{1,3,5,7}:{(189,1),(190,1),(195,1),(214,1),(216,1),(222,1),(229,1)}
       211:{2,4,6}:{(191,1),(192,1),(194,1),(223,1)}
       212:{2,3,5,7}:{(192,1),(193,1),(195,1),(196,1),(218,1),(223,1),(230,1)}
       213:{3,4,7}:{(194,1),(195,1),(222,1),(223,1)}
       214:{1,3,7}:{(197,1),(198,1)}
       215:{1,4,6}:{(199,1),(200,1),(205,1),(224,1)}
       216:{1,3,6,7}:{(200,1),(201,1),(206,1),(210,1),(225,1)}
       217:{2,4,6}:{(202,1),(203,1),(205,1),(226,1)}
       218:{2,3,6,7}:{(203,1),(204,1),(206,1),(212,1),(227,1)}
       219:{3,5,6}:{(205,1),(207,1),(224,1),(226,1),(228,1)}
       220:{3,4,6,7}:{(205,1),(206,1),(208,1),(213,1),(225,1),(227,1),(228,1)}
       221:{4,5,7}:{(207,1),(208,1),(228,1)}
       222:{1,4,7}:{(209,1),(210,1),(213,1)}
       223:{2,4,7}:{(211,1),(212,1),(213,1)}
       224:{1,5,6}:{(215,1),(219,1),(229,1)}
       225:{1,4,6,7}:{(215,1),(216,1),(220,1),(222,1),(229,1)}
       226:{2,5,6}:{(217,1),(219,1),(230,1)}
       227:{2,4,6,7}:{(217,1),(218,1),(220,1),(223,1),(230,1)}
       228:{3,5,7}:{(219,1),(220,1),(221,1),(229,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(228,1)}
       230:{2,5,7}:{(226,1),(227,1),(228,1)}

 847 :  0:{1,2,6,7}:{(3,1),(4,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(41,1),(42,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(19,1),(23,1),(24,1),(25,1),(41,1),(42,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{1,2,5,7}:{(0,1),(1,1),(9,1),(10,1),(46,1),(47,1)}
        5:{3,5,6}:{(1,1),(9,1),(11,1),(12,1),(26,1),(31,1),(45,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(12,1),(32,1),(33,1),(34,1)}
        7:{3,5}:{(2,1),(12,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(17,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(17,1),(18,1)}
       10:{1,2,4,7}:{(4,1),(6,1),(17,1),(18,1),(38,1),(39,1),(40,1)}
       11:{4,6}:{(5,1),(17,1),(19,1)}
       12:{3,6}:{(6,1),(7,1),(18,1)}
       13:{3,4}:{(7,1),(23,1),(24,1),(44,1)}
       14:{1,3,5}:{(7,1),(21,1),(23,1),(25,1),(41,1),(44,1),(55,1)}
       15:{2,3,5}:{(7,1),(22,1),(24,1),(25,1),(42,1),(44,1),(55,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,7}:{(9,1),(11,1)}
       18:{3,7}:{(10,1),(12,1)}
       19:{4,5}:{(11,1),(31,1),(58,1)}
       20:{3,4,6}:{(11,1),(12,1),(13,1),(28,1),(31,1),(32,1),(33,1),(45,1),(50,1),(58,1),(61,1)}
       21:{1,3,6}:{(12,1),(14,1),(29,1),(32,1),(34,1),(50,1)}
       22:{2,3,6}:{(12,1),(15,1),(30,1),(33,1),(34,1),(50,1)}
       23:{1,4}:{(13,1),(14,1),(58,1)}
       24:{2,4}:{(13,1),(15,1),(58,1)}
       25:{1,2,5}:{(14,1),(15,1),(34,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(19,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,4,7}:{(17,1),(18,1),(20,1),(37,1),(38,1),(39,1),(54,1),(60,1)}
       29:{1,3,7}:{(18,1),(21,1),(38,1),(40,1),(54,1)}
       30:{2,3,7}:{(18,1),(22,1),(39,1),(40,1),(54,1)}
       31:{3,5}:{(19,1),(20,1),(41,1),(42,1),(62,1)}
       32:{1,4,6}:{(20,1),(21,1),(23,1),(38,1),(41,1),(51,1)}
       33:{2,4,6}:{(20,1),(22,1),(24,1),(39,1),(42,1),(52,1)}
       34:{1,2,6}:{(21,1),(22,1),(25,1),(40,1)}
       35:{1,2,4}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(31,1),(45,1),(46,1),(47,1)}
       38:{1,4,7}:{(28,1),(29,1),(32,1),(46,1)}
       39:{2,4,7}:{(28,1),(30,1),(33,1),(47,1)}
       40:{1,2,7}:{(29,1),(30,1),(34,1)}
       41:{1,5}:{(31,1),(32,1)}
       42:{2,5}:{(31,1),(33,1)}
       43:{1,2,4,6}:{(32,1),(33,1),(34,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       44:{3}:{(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(41,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(42,1),(52,1)}
       48:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(53,1),(54,1),(60,1)}
       49:{1,2,5}:{(41,1),(42,1),(43,1),(55,1),(62,1)}
       50:{3,6}:{(43,1),(44,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,7}:{(48,1),(50,1)}
       55:{3,5}:{(49,1),(50,1),(58,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(55,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 848 :   0:{1,4,5,6}:{(2,1),(3,1),(21,1),(81,1),(83,1)}
         1:{1,3,4,6}:{(5,1),(6,1),(7,1),(21,1),(36,1),(65,1),(78,1),(114,1),(130,1)}
         2:{3,5,6}:{(0,1),(8,1),(10,1),(11,1)}
         3:{1,4,5,7}:{(0,1),(11,1),(12,1),(42,1),(95,1),(97,1)}
         4:{3,4,5}:{(8,1),(13,1),(14,1),(52,1)}
         5:{1,3,5}:{(1,1),(13,1),(16,1),(52,1),(137,1),(153,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(19,1),(57,1),(59,1),(110,1)}
         7:{1,3,4,7}:{(1,1),(17,1),(19,1),(42,1),(93,1),(106,1),(138,1),(188,1)}
         8:{3,4,6}:{(2,1),(4,1),(21,1),(22,1),(23,1),(65,1)}
         9:{1,3,5,6}:{(2,1),(5,1),(21,1),(24,1),(25,1),(36,1),(65,1),(81,1),(131,1)}
        10:{2,5,6}:{(2,1),(22,1),(26,1)}
        11:{3,5,7}:{(2,1),(3,1),(23,1),(26,1),(27,1)}
        12:{1,4,6,7}:{(3,1),(27,1),(28,1),(74,1)}
        13:{1,4,5}:{(4,1),(5,1),(21,1),(173,1)}
        14:{2,4,5}:{(4,1),(22,1),(29,1)}
        15:{3,4,5,7}:{(4,1),(23,1),(31,1),(32,1),(33,1),(69,1),(79,1),(136,1),(163,1),(166,1),(173,1)}
        16:{1,2,5}:{(5,1),(6,1),(34,1),(133,1)}
        17:{1,3,5,7}:{(5,1),(7,1),(31,1),(35,1),(36,1),(79,1),(159,1),(175,1),(194,1)}
        18:{2,3,6}:{(6,1),(34,1),(37,1),(65,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(35,1),(37,1),(84,1),(200,1)}
        20:{2,3,4}:{(29,1),(38,1),(78,1)}
        21:{1,4,6}:{(8,1),(9,1),(13,1),(42,1),(154,1)}
        22:{2,4,6}:{(8,1),(10,1),(14,1),(40,1),(43,1)}
        23:{3,4,7}:{(8,1),(11,1),(42,1),(43,1),(93,1)}
        24:{1,2,5,6}:{(9,1),(10,1),(16,1),(41,1),(45,1),(46,1),(59,1),(137,1),(177,1)}
        25:{1,3,5,7}:{(9,1),(11,1),(42,1),(46,1),(47,1),(93,1),(95,1),(144,1)}
        26:{2,5,7}:{(10,1),(11,1),(43,1),(48,1)}
        27:{3,6,7}:{(11,1),(12,1),(48,1)}
        28:{1,5,6,7}:{(12,1),(49,1),(95,1),(148,1)}
        29:{2,3,5}:{(14,1),(20,1),(40,1),(50,1),(52,1)}
        30:{1,2,4,5}:{(13,1),(14,1),(16,1),(41,1),(50,1),(52,1),(57,1),(98,1),(102,1),(137,1)}
        31:{1,4,5,7}:{(13,1),(15,1),(17,1),(42,1),(54,1),(95,1),(158,1),(181,1)}
        32:{2,4,5,7}:{(14,1),(15,1),(43,1),(51,1),(55,1),(96,1),(113,1),(141,1)}
        33:{3,4,6}:{(15,1),(54,1),(55,1),(56,1),(107,1),(154,1)}
        34:{2,3,5}:{(16,1),(18,1),(52,1),(57,1)}
        35:{1,2,5,7}:{(16,1),(17,1),(19,1),(58,1),(59,1),(190,1),(204,1)}
        36:{1,3,6}:{(17,1),(54,1),(59,1),(107,1),(177,1)}
        37:{2,3,7}:{(18,1),(19,1),(93,1),(206,1)}
        38:{1,2,4}:{(20,1),(50,1),(60,1),(102,1)}
        39:{2,3,4,7}:{(20,1),(51,1),(61,1),(62,1),(106,1),(141,1),(180,1),(203,1)}
        40:{2,3,6}:{(22,1),(29,1),(63,1),(64,1),(65,1)}
        41:{1,2,4,6}:{(21,1),(22,1),(24,1),(30,1),(63,1),(65,1),(66,1),(70,1),(114,1)}
        42:{1,4,7}:{(21,1),(23,1),(25,1),(166,1)}
        43:{2,4,7}:{(22,1),(23,1),(26,1),(64,1)}
        44:{3,4,6,7}:{(23,1),(27,1),(33,1),(67,1),(68,1),(69,1),(74,1),(120,1),(125,1),(163,1),(166,1)}
        45:{2,3,5,6}:{(24,1),(34,1),(65,1),(70,1),(71,1),(85,1),(118,1),(131,1),(133,1),(164,1),(168,1)}
        46:{1,2,5,7}:{(24,1),(25,1),(26,1),(66,1),(71,1),(72,1),(159,1)}
        47:{1,3,6,7}:{(25,1),(27,1),(36,1),(67,1),(72,1),(120,1),(194,1)}
        48:{2,6,7}:{(26,1),(27,1)}
        49:{3,5,6,7}:{(27,1),(28,1),(69,1),(73,1),(74,1),(125,1)}
        50:{1,2,5}:{(29,1),(38,1),(63,1),(75,1)}
        51:{2,3,5,7}:{(29,1),(32,1),(39,1),(64,1),(76,1),(77,1),(79,1),(88,1),(208,1)}
        52:{3,5}:{(30,1),(65,1),(78,1)}
        53:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(66,1),(76,1),(79,1),(80,1),(84,1),(121,1),(123,1),(126,1),(133,1),(135,1),(159,1),(162,1),(166,1),(169,1),(173,1),(192,1),(208,1)}
        54:{1,4,6}:{(31,1),(33,1),(36,1),(81,1)}
        55:{2,4,6}:{(32,1),(33,1),(77,1),(82,1)}
        56:{3,5,6}:{(33,1),(69,1),(81,1),(82,1),(83,1)}
        57:{2,4}:{(34,1),(78,1)}
        58:{2,3,5,7}:{(34,1),(35,1),(37,1),(79,1),(84,1),(85,1),(133,1),(176,1),(195,1),(208,1)}
        59:{1,2,6}:{(35,1),(36,1),(85,1)}
        60:{1,3}:{(38,1)}
        61:{1,2,4,7}:{(38,1),(39,1),(76,1),(86,1),(87,1),(126,1)}
        62:{2,3,4,6}:{(39,1),(77,1),(87,1),(88,1),(129,1),(130,1),(171,1),(174,1),(198,1)}
        63:{1,2,6}:{(40,1),(50,1),(89,1),(90,1)}
        64:{2,3,7}:{(40,1),(43,1),(90,1),(93,1)}
        65:{3,6}:{(41,1),(52,1),(93,1)}
        66:{1,2,4,7}:{(41,1),(42,1),(43,1),(46,1),(90,1),(93,1),(99,1),(138,1)}
        67:{1,4,6,7}:{(42,1),(44,1),(47,1),(54,1),(95,1),(148,1),(181,1)}
        68:{2,4,6,7}:{(43,1),(44,1),(48,1),(55,1),(91,1),(96,1),(141,1)}
        69:{3,5,7}:{(44,1),(56,1),(95,1),(96,1),(97,1)}
        70:{2,4,6}:{(45,1),(57,1),(92,1),(98,1),(99,1),(154,1)}
        71:{2,3,5,7}:{(45,1),(46,1),(93,1),(99,1),(100,1),(142,1),(144,1),(147,1)}
        72:{1,2,6,7}:{(46,1),(47,1),(48,1),(59,1),(100,1),(177,1),(204,1)}
        73:{2,5,6,7}:{(48,1),(49,1),(96,1),(101,1)}
        74:{4,6,7}:{(49,1),(97,1)}
        75:{1,3,5}:{(50,1),(52,1),(60,1),(89,1),(102,1),(137,1)}
        76:{1,2,5,7}:{(50,1),(51,1),(61,1),(90,1),(103,1),(104,1),(112,1)}
        77:{2,3,6}:{(51,1),(55,1),(104,1),(107,1),(209,1)}
        78:{3,4}:{(52,1),(57,1),(102,1)}
        79:{3,5,7}:{(52,1),(53,1),(93,1),(106,1),(107,1),(153,1),(157,1),(180,1)}
        80:{1,2,4,6}:{(53,1),(54,1),(55,1),(59,1),(104,1),(107,1),(108,1),(110,1),(146,1),(149,1),(154,1),(177,1),(201,1),(209,1)}
        81:{1,5,6}:{(54,1),(56,1),(95,1)}
        82:{2,5,6}:{(55,1),(56,1),(96,1)}
        83:{4,5,6}:{(56,1),(97,1),(154,1)}
        84:{2,4,7}:{(57,1),(58,1),(106,1),(110,1),(189,1)}
        85:{2,3,6}:{(58,1),(59,1),(107,1),(110,1),(209,1)}
        86:{1,3,7}:{(60,1),(61,1),(111,1),(180,1)}
        87:{1,2,4,6}:{(61,1),(62,1),(104,1),(111,1),(112,1),(149,1),(156,1)}
        88:{2,3,5}:{(62,1),(112,1),(113,1),(153,1),(157,1),(205,1)}
        89:{1,3,6}:{(63,1),(65,1),(75,1),(114,1),(115,1)}
        90:{1,2,7}:{(63,1),(64,1),(115,1)}
        91:{2,3,6,7}:{(64,1),(68,1),(77,1),(116,1),(117,1),(120,1),(125,1)}
        92:{3,4,6}:{(65,1),(70,1),(78,1),(114,1),(118,1),(119,1),(164,1)}
        93:{3,7}:{(65,1),(66,1)}
        94:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(72,1),(80,1),(116,1),(120,1),(121,1),(124,1),(160,1),(162,1),(166,1)}
        95:{1,5,7}:{(67,1),(69,1),(81,1)}
        96:{2,5,7}:{(68,1),(69,1),(82,1)}
        97:{4,5,7}:{(69,1),(74,1),(83,1),(166,1)}
        98:{2,4,5}:{(70,1),(118,1),(133,1),(173,1)}
        99:{2,4,7}:{(70,1),(71,1),(119,1),(166,1)}
       100:{2,3,6,7}:{(71,1),(72,1),(85,1),(120,1),(124,1),(164,1),(195,1)}
       101:{2,4,6,7}:{(73,1),(74,1),(122,1),(125,1)}
       102:{1,4}:{(75,1),(78,1)}
       103:{1,3,5,7}:{(75,1),(76,1),(79,1),(86,1),(115,1),(126,1),(127,1),(134,1),(159,1),(169,1)}
       104:{1,2,6}:{(76,1),(77,1),(127,1)}
       105:{2,3,5,6}:{(77,1),(82,1),(88,1),(117,1),(128,1),(129,1),(131,1),(132,1),(171,1)}
       106:{3,4,7}:{(78,1),(79,1),(84,1),(126,1),(130,1),(166,1),(174,1)}
       107:{3,6}:{(79,1),(80,1)}
       108:{1,2,5,6}:{(80,1),(81,1),(82,1),(121,1),(131,1),(133,1),(168,1),(169,1),(191,1)}
       109:{2,4,5,6}:{(82,1),(83,1),(122,1),(129,1),(132,1)}
       110:{2,4,6}:{(84,1),(85,1),(130,1),(133,1)}
       111:{1,3,6}:{(86,1),(87,1),(134,1),(171,1)}
       112:{1,2,5}:{(87,1),(88,1),(134,1),(169,1)}
       113:{2,4,5}:{(88,1),(129,1),(136,1),(173,1)}
       114:{1,4,6}:{(89,1),(92,1),(102,1),(137,1),(138,1),(177,1)}
       115:{1,3,7}:{(89,1),(90,1),(93,1),(138,1)}
       116:{1,2,6,7}:{(90,1),(91,1),(104,1),(139,1),(140,1),(148,1),(209,1)}
       117:{2,3,5,7}:{(91,1),(96,1),(105,1),(140,1),(141,1),(144,1),(145,1),(180,1)}
       118:{3,5}:{(92,1),(98,1),(137,1)}
       119:{3,4,7}:{(92,1),(93,1),(99,1),(138,1),(142,1)}
       120:{3,6,7}:{(93,1),(94,1),(107,1),(144,1),(180,1)}
       121:{1,2,5,7}:{(94,1),(95,1),(96,1),(108,1),(144,1),(147,1),(178,1)}
       122:{2,4,5,7}:{(96,1),(97,1),(101,1),(109,1),(141,1),(145,1)}
       123:{2,4,5,7}:{(98,1),(99,1),(142,1),(146,1),(147,1),(183,1)}
       124:{2,4,6,7}:{(99,1),(100,1),(110,1),(143,1),(146,1),(147,1),(203,1),(209,1)}
       125:{3,6,7}:{(101,1),(145,1),(148,1)}
       126:{1,4,7}:{(102,1),(103,1),(106,1),(149,1),(156,1)}
       127:{1,3,6}:{(103,1),(104,1),(107,1),(149,1),(177,1)}
       128:{1,2,5,6}:{(104,1),(105,1),(112,1),(140,1),(150,1),(151,1),(155,1),(205,1),(209,1)}
       129:{2,4,6}:{(105,1),(113,1),(141,1),(152,1),(154,1)}
       130:{3,4,6}:{(106,1),(107,1),(110,1),(149,1),(153,1),(154,1)}
       131:{3,5,6}:{(107,1),(108,1),(144,1),(153,1),(154,1)}
       132:{3,5,6}:{(109,1),(145,1),(152,1),(155,1)}
       133:{2,5}:{(110,1),(153,1)}
       134:{1,3,5}:{(111,1),(112,1),(156,1),(157,1)}
       135:{1,2,4,5}:{(112,1),(113,1),(151,1),(156,1),(157,1),(158,1),(184,1),(189,1),(190,1),(205,1)}
       136:{3,4,5}:{(113,1),(152,1),(157,1),(158,1)}
       137:{1,5}:{(114,1),(118,1)}
       138:{1,4,7}:{(114,1),(115,1),(119,1),(159,1)}
       139:{1,3,6,7}:{(115,1),(116,1),(120,1),(127,1),(160,1),(161,1),(207,1)}
       140:{1,2,5,7}:{(116,1),(117,1),(128,1),(161,1),(162,1),(167,1),(208,1)}
       141:{2,4,7}:{(117,1),(129,1),(163,1),(166,1)}
       142:{3,5,7}:{(118,1),(119,1),(123,1),(159,1),(164,1)}
       143:{3,4,6,7}:{(119,1),(120,1),(124,1),(130,1),(160,1),(164,1),(165,1),(166,1),(193,1),(196,1),(207,1)}
       144:{3,5,7}:{(120,1),(121,1),(131,1),(166,1)}
       145:{3,5,7}:{(122,1),(125,1),(132,1),(163,1),(167,1)}
       146:{2,4,6}:{(123,1),(164,1),(168,1),(196,1)}
       147:{2,5,7}:{(124,1),(133,1),(165,1),(168,1)}
       148:{1,6,7}:{(125,1),(167,1)}
       149:{1,4,6}:{(126,1),(127,1),(130,1),(169,1)}
       150:{1,3,5,6}:{(127,1),(128,1),(131,1),(134,1),(161,1),(169,1),(170,1),(171,1),(191,1),(197,1),(207,1)}
       151:{1,2,4,6}:{(128,1),(129,1),(135,1),(162,1),(170,1),(171,1),(172,1),(198,1),(199,1)}
       152:{3,4,6}:{(129,1),(132,1),(136,1),(163,1),(171,1),(172,1)}
       153:{3,5}:{(130,1),(133,1),(169,1),(173,1)}
       154:{4,6}:{(131,1),(166,1),(173,1)}
       155:{1,5,6}:{(132,1),(167,1),(172,1)}
       156:{1,4}:{(134,1),(174,1)}
       157:{3,5}:{(135,1),(171,1),(174,1)}
       158:{1,4,5}:{(136,1),(172,1),(175,1)}
       159:{1,5,7}:{(137,1),(138,1),(142,1),(177,1)}
       160:{1,4,6,7}:{(138,1),(139,1),(143,1),(149,1),(177,1),(178,1),(179,1),(201,1)}
       161:{1,3,5,7}:{(139,1),(140,1),(144,1),(150,1),(178,1),(179,1),(180,1),(202,1)}
       162:{1,2,4,7}:{(140,1),(141,1),(151,1),(179,1),(180,1),(181,1),(203,1),(204,1)}
       163:{3,4,7}:{(141,1),(145,1),(152,1),(180,1),(181,1)}
       164:{3,6}:{(142,1),(146,1),(177,1)}
       165:{3,5,7}:{(143,1),(147,1),(153,1),(178,1),(182,1),(183,1)}
       166:{4,7}:{(144,1),(154,1)}
       167:{1,5,7}:{(145,1),(148,1),(155,1),(181,1)}
       168:{2,5,6}:{(146,1),(147,1),(182,1),(209,1)}
       169:{1,5}:{(149,1),(153,1)}
       170:{1,4,6}:{(150,1),(154,1),(156,1),(179,1),(184,1),(185,1)}
       171:{3,6}:{(151,1),(157,1),(180,1)}
       172:{1,4,6}:{(152,1),(155,1),(158,1),(181,1),(186,1)}
       173:{4,5}:{(153,1),(154,1)}
       174:{3,4}:{(156,1),(157,1),(189,1)}
       175:{1,3,5}:{(157,1),(158,1),(186,1),(188,1),(190,1)}
       176:{2,3,5}:{(157,1),(187,1),(189,1),(190,1),(205,1),(206,1)}
       177:{1,6}:{(159,1),(164,1)}
       178:{1,5,7}:{(160,1),(165,1),(169,1),(191,1)}
       179:{1,4,7}:{(161,1),(166,1),(170,1),(193,1)}
       180:{3,7}:{(162,1),(171,1)}
       181:{1,4,7}:{(163,1),(167,1),(172,1),(194,1)}
       182:{3,5,6}:{(164,1),(165,1),(168,1),(191,1),(196,1),(207,1)}
       183:{4,5,7}:{(165,1),(166,1),(173,1),(196,1)}
       184:{1,4,5}:{(169,1),(170,1),(173,1),(197,1)}
       185:{3,4,6}:{(170,1),(171,1),(174,1),(193,1),(197,1),(198,1),(207,1)}
       186:{1,3,6}:{(171,1),(172,1),(175,1),(194,1),(199,1)}
       187:{2,3,6}:{(171,1),(176,1),(195,1),(198,1),(199,1)}
       188:{1,3,4}:{(174,1),(175,1),(200,1)}
       189:{2,4}:{(174,1),(176,1)}
       190:{1,2,5}:{(175,1),(176,1),(199,1),(200,1)}
       191:{1,5,6}:{(177,1),(178,1),(182,1),(201,1)}
       192:{1,4,5,7}:{(178,1),(179,1),(183,1),(184,1),(201,1),(202,1)}
       193:{3,4,7}:{(179,1),(180,1),(185,1),(202,1),(203,1)}
       194:{1,3,7}:{(180,1),(181,1),(186,1),(204,1)}
       195:{2,3,7}:{(180,1),(187,1),(203,1),(204,1)}
       196:{4,6}:{(182,1),(183,1)}
       197:{3,5}:{(184,1),(185,1),(205,1)}
       198:{2,4,6}:{(185,1),(187,1),(189,1),(203,1),(205,1),(209,1)}
       199:{1,2,6}:{(186,1),(187,1),(190,1),(204,1)}
       200:{1,2,4}:{(188,1),(189,1),(190,1),(206,1)}
       201:{1,4,6}:{(191,1),(192,1),(196,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(197,1),(207,1),(208,1)}
       203:{2,4,7}:{(193,1),(195,1),(198,1),(208,1)}
       204:{1,2,7}:{(194,1),(195,1),(199,1)}
       205:{2,5}:{(197,1),(198,1)}
       206:{2,3}:{(200,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{2,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

 849 :   0:{1,3,4,7}:{(2,1),(3,1),(4,1),(63,1),(70,1),(131,1),(175,1),(184,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(8,1),(36,1),(37,1),(50,1),(86,1),(101,1),(143,1),(154,1),(157,1)}
         2:{1,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(13,1),(37,1),(149,1),(191,1),(199,1)}
         3:{1,2,4,7}:{(0,1),(9,1),(11,1),(12,1),(44,1),(196,1)}
         4:{1,3,4,6}:{(0,1),(10,1),(12,1),(13,1),(47,1),(94,1),(104,1),(106,1),(164,1)}
         5:{2,3,4,7}:{(14,1),(15,1),(16,1),(63,1),(111,1),(138,1),(169,1),(202,1)}
         6:{1,4,5,7}:{(1,1),(2,1),(19,1),(28,1),(60,1),(70,1),(118,1),(170,1)}
         7:{2,4,5,7}:{(1,1),(14,1),(20,1),(57,1),(61,1),(77,1),(111,1),(132,1)}
         8:{3,4,6}:{(1,1),(19,1),(20,1),(21,1),(64,1),(126,1)}
         9:{1,2,5,7}:{(2,1),(3,1),(23,1),(24,1),(27,1),(177,1),(203,1)}
        10:{1,3,6}:{(2,1),(19,1),(24,1),(64,1),(206,1)}
        11:{2,3,7}:{(3,1),(26,1),(131,1),(205,1)}
        12:{1,2,4,6}:{(3,1),(4,1),(24,1),(26,1),(27,1),(71,1),(75,1)}
        13:{1,3,5}:{(4,1),(27,1),(28,1),(76,1),(125,1),(186,1)}
        14:{2,3,5,7}:{(5,1),(7,1),(29,1),(30,1),(33,1),(37,1),(108,1),(162,1),(208,1)}
        15:{1,2,4,7}:{(5,1),(29,1),(31,1),(32,1),(80,1),(166,1)}
        16:{2,3,4,6}:{(5,1),(30,1),(32,1),(33,1),(83,1),(94,1),(146,1),(148,1),(194,1)}
        17:{3,4,6,7}:{(8,1),(34,1),(35,1),(36,1),(89,1),(90,1),(101,1),(143,1),(151,1),(152,1),(154,1)}
        18:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(29,1),(37,1),(38,1),(44,1),(49,1),(80,1),(85,1),(91,1),(100,1),(102,1),(142,1),(144,1),(154,1),(157,1),(159,1),(189,1),(199,1),(208,1)}
        19:{1,4,6}:{(6,1),(8,1),(10,1),(39,1)}
        20:{2,4,6}:{(7,1),(8,1),(30,1),(40,1)}
        21:{3,5,6}:{(8,1),(36,1),(39,1),(40,1),(41,1)}
        22:{1,3,6,7}:{(10,1),(34,1),(42,1),(43,1),(90,1),(151,1),(191,1)}
        23:{2,3,5,7}:{(9,1),(11,1),(37,1),(44,1),(45,1),(48,1),(102,1),(150,1),(192,1),(208,1)}
        24:{1,2,6}:{(9,1),(10,1),(45,1)}
        25:{1,3,5,6}:{(10,1),(13,1),(39,1),(43,1),(46,1),(47,1),(95,1),(96,1),(104,1)}
        26:{2,3,6}:{(11,1),(12,1),(48,1),(104,1)}
        27:{1,2,5}:{(12,1),(13,1),(48,1),(102,1)}
        28:{1,4,5}:{(13,1),(47,1),(50,1),(157,1)}
        29:{1,2,5,7}:{(14,1),(15,1),(52,1),(53,1),(56,1),(139,1),(185,1)}
        30:{2,3,6}:{(14,1),(20,1),(53,1),(64,1),(209,1)}
        31:{1,3,7}:{(15,1),(55,1),(169,1),(187,1)}
        32:{1,2,4,6}:{(15,1),(16,1),(53,1),(55,1),(56,1),(112,1),(116,1)}
        33:{2,3,5}:{(16,1),(56,1),(57,1),(117,1),(125,1),(204,1)}
        34:{1,4,6,7}:{(17,1),(19,1),(22,1),(60,1),(70,1),(170,1),(179,1)}
        35:{2,4,6,7}:{(17,1),(20,1),(51,1),(61,1),(111,1),(132,1),(178,1)}
        36:{3,5,7}:{(17,1),(21,1),(60,1),(61,1),(62,1)}
        37:{3,5,7}:{(18,1),(63,1),(64,1),(76,1),(117,1),(125,1),(131,1),(169,1)}
        38:{1,2,4,6}:{(18,1),(19,1),(20,1),(24,1),(53,1),(64,1),(65,1),(71,1),(112,1),(126,1),(182,1),(200,1),(206,1),(209,1)}
        39:{1,5,6}:{(19,1),(21,1),(60,1)}
        40:{2,5,6}:{(20,1),(21,1),(61,1)}
        41:{4,5,6}:{(21,1),(62,1),(126,1)}
        42:{1,2,6,7}:{(22,1),(24,1),(68,1),(69,1),(178,1),(203,1),(206,1)}
        43:{1,3,5,7}:{(22,1),(25,1),(60,1),(69,1),(70,1),(122,1),(123,1),(131,1)}
        44:{2,4,7}:{(23,1),(63,1),(71,1),(75,1),(176,1)}
        45:{2,3,6}:{(23,1),(24,1),(64,1),(71,1),(209,1)}
        46:{1,2,5,6}:{(24,1),(25,1),(27,1),(69,1),(72,1),(73,1),(127,1),(186,1),(206,1)}
        47:{1,4,6}:{(25,1),(28,1),(70,1),(74,1),(126,1)}
        48:{2,3,5}:{(26,1),(27,1),(75,1),(76,1)}
        49:{1,2,4,5}:{(27,1),(28,1),(73,1),(75,1),(76,1),(77,1),(133,1),(137,1),(139,1),(186,1)}
        50:{3,4,5}:{(28,1),(74,1),(76,1),(77,1)}
        51:{2,3,6,7}:{(30,1),(35,1),(78,1),(79,1),(90,1),(152,1),(162,1)}
        52:{1,3,5,7}:{(29,1),(31,1),(37,1),(80,1),(81,1),(84,1),(107,1),(144,1),(161,1),(199,1)}
        53:{1,2,6}:{(29,1),(30,1),(81,1)}
        54:{2,3,5,6}:{(30,1),(33,1),(40,1),(79,1),(82,1),(83,1),(95,1),(97,1),(146,1)}
        55:{1,3,6}:{(31,1),(32,1),(84,1),(146,1)}
        56:{1,2,5}:{(32,1),(33,1),(84,1),(144,1)}
        57:{2,4,5}:{(33,1),(83,1),(86,1),(157,1)}
        58:{3,5,6,7}:{(36,1),(87,1),(88,1),(89,1),(151,1),(152,1)}
        59:{1,2,4,6,7}:{(34,1),(35,1),(38,1),(42,1),(78,1),(90,1),(91,1),(98,1),(100,1),(140,1),(142,1),(154,1)}
        60:{1,5,7}:{(34,1),(36,1),(39,1)}
        61:{2,5,7}:{(35,1),(36,1),(40,1)}
        62:{4,5,7}:{(36,1),(41,1),(89,1),(154,1)}
        63:{3,4,7}:{(37,1),(44,1),(80,1),(94,1),(106,1),(148,1),(154,1)}
        64:{3,6}:{(37,1),(38,1)}
        65:{1,2,5,6}:{(38,1),(39,1),(40,1),(91,1),(95,1),(102,1),(144,1),(158,1),(188,1)}
        66:{1,4,5,6}:{(39,1),(41,1),(47,1),(92,1),(96,1)}
        67:{2,4,5,6}:{(40,1),(41,1),(83,1),(93,1),(97,1)}
        68:{2,3,6,7}:{(42,1),(45,1),(90,1),(98,1),(99,1),(192,1),(198,1)}
        69:{1,2,5,7}:{(42,1),(43,1),(46,1),(99,1),(100,1),(155,1),(199,1)}
        70:{1,4,7}:{(43,1),(47,1),(101,1),(154,1)}
        71:{2,4,6}:{(44,1),(45,1),(94,1),(102,1)}
        72:{2,3,5,6}:{(45,1),(46,1),(48,1),(95,1),(99,1),(102,1),(103,1),(104,1),(158,1),(163,1),(198,1)}
        73:{1,2,4,6}:{(46,1),(47,1),(49,1),(100,1),(103,1),(104,1),(105,1),(164,1),(165,1)}
        74:{3,4,6}:{(47,1),(50,1),(96,1),(101,1),(104,1),(105,1)}
        75:{2,4}:{(48,1),(106,1)}
        76:{3,5}:{(49,1),(104,1),(106,1)}
        77:{2,4,5}:{(50,1),(105,1),(108,1)}
        78:{1,2,6,7}:{(51,1),(53,1),(109,1),(110,1),(179,1),(185,1),(209,1)}
        79:{2,3,5,7}:{(51,1),(54,1),(61,1),(110,1),(111,1),(122,1),(124,1),(169,1)}
        80:{1,4,7}:{(52,1),(63,1),(112,1),(116,1),(137,1)}
        81:{1,3,6}:{(52,1),(53,1),(64,1),(112,1),(206,1)}
        82:{1,2,5,6}:{(53,1),(54,1),(56,1),(110,1),(113,1),(114,1),(128,1),(204,1),(209,1)}
        83:{2,4,6}:{(54,1),(57,1),(111,1),(115,1),(126,1)}
        84:{1,3,5}:{(55,1),(56,1),(116,1),(117,1)}
        85:{1,2,4,5}:{(56,1),(57,1),(114,1),(116,1),(117,1),(118,1),(171,1),(176,1),(177,1),(204,1)}
        86:{3,4,5}:{(57,1),(115,1),(117,1),(118,1)}
        87:{1,5,6,7}:{(58,1),(60,1),(119,1),(179,1)}
        88:{2,5,6,7}:{(58,1),(61,1),(120,1),(178,1)}
        89:{4,6,7}:{(58,1),(62,1)}
        90:{3,6,7}:{(59,1),(64,1),(122,1),(131,1),(169,1)}
        91:{1,2,5,7}:{(59,1),(60,1),(61,1),(65,1),(122,1),(129,1),(167,1)}
        92:{1,4,5,7}:{(60,1),(62,1),(66,1),(70,1),(119,1),(123,1)}
        93:{2,4,5,7}:{(61,1),(62,1),(67,1),(111,1),(120,1),(124,1)}
        94:{3,4,6}:{(63,1),(64,1),(71,1),(112,1),(125,1),(126,1)}
        95:{3,5,6}:{(64,1),(65,1),(122,1),(125,1),(126,1)}
        96:{3,5,6}:{(66,1),(74,1),(123,1),(127,1)}
        97:{3,5,6}:{(67,1),(115,1),(124,1),(128,1)}
        98:{2,4,6,7}:{(68,1),(71,1),(121,1),(129,1),(130,1),(182,1),(202,1),(209,1)}
        99:{2,3,5,7}:{(68,1),(69,1),(72,1),(122,1),(129,1),(130,1),(131,1),(183,1)}
       100:{1,2,4,7}:{(69,1),(70,1),(73,1),(130,1),(131,1),(132,1),(184,1),(185,1)}
       101:{3,4,7}:{(70,1),(74,1),(123,1),(131,1),(132,1)}
       102:{2,5}:{(71,1),(125,1)}
       103:{2,4,6}:{(72,1),(75,1),(126,1),(130,1),(133,1),(134,1)}
       104:{3,6}:{(73,1),(76,1),(131,1)}
       105:{2,4,6}:{(74,1),(77,1),(127,1),(132,1),(136,1)}
       106:{3,4}:{(75,1),(76,1),(137,1)}
       107:{1,3,5}:{(76,1),(135,1),(137,1),(139,1),(186,1),(187,1)}
       108:{2,3,5}:{(76,1),(77,1),(136,1),(138,1),(139,1)}
       109:{1,3,6,7}:{(78,1),(81,1),(90,1),(140,1),(141,1),(161,1),(207,1)}
       110:{1,2,5,7}:{(78,1),(79,1),(82,1),(141,1),(142,1),(156,1),(208,1)}
       111:{2,4,7}:{(79,1),(83,1),(143,1),(154,1)}
       112:{1,4,6}:{(80,1),(81,1),(94,1),(144,1)}
       113:{1,3,5,6}:{(81,1),(82,1),(84,1),(95,1),(141,1),(144,1),(145,1),(146,1),(188,1),(193,1),(207,1)}
       114:{1,2,4,6}:{(82,1),(83,1),(85,1),(142,1),(145,1),(146,1),(147,1),(194,1),(195,1)}
       115:{3,4,6}:{(83,1),(86,1),(97,1),(143,1),(146,1),(147,1)}
       116:{1,4}:{(84,1),(148,1)}
       117:{3,5}:{(85,1),(146,1),(148,1)}
       118:{1,4,5}:{(86,1),(147,1),(149,1)}
       119:{1,4,6,7}:{(87,1),(89,1),(92,1),(151,1)}
       120:{2,4,6,7}:{(88,1),(89,1),(93,1),(152,1)}
       121:{3,4,6,7}:{(90,1),(94,1),(98,1),(140,1),(153,1),(154,1),(160,1),(190,1),(197,1),(198,1),(207,1)}
       122:{3,5,7}:{(90,1),(91,1),(95,1),(154,1)}
       123:{3,5,7}:{(92,1),(96,1),(101,1),(151,1),(155,1)}
       124:{3,5,7}:{(93,1),(97,1),(143,1),(152,1),(156,1)}
       125:{3,5}:{(94,1),(102,1),(144,1),(157,1)}
       126:{4,6}:{(95,1),(154,1),(157,1)}
       127:{2,5,6}:{(96,1),(105,1),(155,1)}
       128:{1,5,6}:{(97,1),(147,1),(156,1)}
       129:{2,5,7}:{(98,1),(102,1),(153,1),(158,1)}
       130:{2,4,7}:{(99,1),(103,1),(154,1),(160,1)}
       131:{3,7}:{(100,1),(104,1)}
       132:{2,4,7}:{(101,1),(105,1),(155,1),(162,1)}
       133:{2,4,5}:{(102,1),(103,1),(157,1),(163,1)}
       134:{3,4,6}:{(103,1),(104,1),(106,1),(160,1),(163,1),(164,1),(198,1)}
       135:{1,3,6}:{(104,1),(107,1),(161,1),(164,1),(165,1)}
       136:{2,3,6}:{(104,1),(105,1),(108,1),(162,1),(165,1)}
       137:{1,4}:{(106,1),(107,1)}
       138:{2,3,4}:{(106,1),(108,1),(166,1)}
       139:{1,2,5}:{(107,1),(108,1),(165,1),(166,1)}
       140:{1,4,6,7}:{(109,1),(112,1),(121,1),(167,1),(168,1),(184,1),(200,1),(206,1)}
       141:{1,3,5,7}:{(109,1),(110,1),(113,1),(122,1),(167,1),(168,1),(169,1),(201,1)}
       142:{1,2,4,7}:{(110,1),(111,1),(114,1),(168,1),(169,1),(170,1),(202,1),(203,1)}
       143:{3,4,7}:{(111,1),(115,1),(124,1),(169,1),(170,1)}
       144:{1,5}:{(112,1),(125,1)}
       145:{1,4,6}:{(113,1),(116,1),(126,1),(168,1),(171,1),(172,1)}
       146:{3,6}:{(114,1),(117,1),(169,1)}
       147:{1,4,6}:{(115,1),(118,1),(128,1),(170,1),(173,1)}
       148:{3,4}:{(116,1),(117,1),(176,1)}
       149:{1,3,5}:{(117,1),(118,1),(173,1),(175,1),(177,1)}
       150:{2,3,5}:{(117,1),(174,1),(176,1),(177,1),(204,1),(205,1)}
       151:{3,6,7}:{(119,1),(123,1),(178,1)}
       152:{3,6,7}:{(120,1),(124,1),(179,1)}
       153:{3,5,7}:{(121,1),(125,1),(129,1),(167,1),(180,1),(181,1)}
       154:{4,7}:{(122,1),(126,1)}
       155:{2,5,7}:{(123,1),(127,1),(132,1),(178,1)}
       156:{1,5,7}:{(124,1),(128,1),(170,1),(179,1)}
       157:{4,5}:{(125,1),(126,1)}
       158:{2,5,6}:{(129,1),(180,1),(182,1),(209,1)}
       159:{2,4,5,7}:{(129,1),(130,1),(133,1),(181,1),(182,1),(183,1)}
       160:{3,4,7}:{(130,1),(131,1),(134,1),(183,1),(184,1)}
       161:{1,3,7}:{(131,1),(135,1),(184,1),(185,1)}
       162:{2,3,7}:{(131,1),(132,1),(136,1),(185,1)}
       163:{3,5}:{(133,1),(134,1),(186,1)}
       164:{1,4,6}:{(134,1),(135,1),(137,1),(184,1),(186,1),(206,1)}
       165:{1,2,6}:{(135,1),(136,1),(139,1),(185,1)}
       166:{1,2,4}:{(137,1),(138,1),(139,1),(187,1)}
       167:{1,5,7}:{(140,1),(144,1),(153,1),(188,1)}
       168:{1,4,7}:{(141,1),(145,1),(154,1),(190,1)}
       169:{3,7}:{(142,1),(146,1)}
       170:{1,4,7}:{(143,1),(147,1),(156,1),(191,1)}
       171:{1,4,5}:{(144,1),(145,1),(157,1),(193,1)}
       172:{3,4,6}:{(145,1),(146,1),(148,1),(190,1),(193,1),(194,1),(207,1)}
       173:{1,3,6}:{(146,1),(147,1),(149,1),(191,1),(195,1)}
       174:{2,3,6}:{(146,1),(150,1),(192,1),(194,1),(195,1)}
       175:{1,3,4}:{(148,1),(149,1),(196,1)}
       176:{2,4}:{(148,1),(150,1)}
       177:{1,2,5}:{(149,1),(150,1),(195,1),(196,1)}
       178:{2,6,7}:{(151,1),(155,1)}
       179:{1,6,7}:{(152,1),(156,1)}
       180:{3,5,6}:{(153,1),(158,1),(188,1),(197,1),(198,1),(207,1)}
       181:{4,5,7}:{(153,1),(154,1),(157,1),(197,1)}
       182:{2,4,6}:{(158,1),(159,1),(197,1),(198,1)}
       183:{3,5,7}:{(159,1),(160,1),(163,1),(198,1),(199,1)}
       184:{1,4,7}:{(160,1),(161,1),(164,1),(199,1)}
       185:{1,2,7}:{(161,1),(162,1),(165,1)}
       186:{1,5}:{(163,1),(164,1)}
       187:{1,3}:{(166,1)}
       188:{1,5,6}:{(167,1),(180,1),(200,1),(206,1)}
       189:{1,4,5,7}:{(167,1),(168,1),(171,1),(181,1),(200,1),(201,1)}
       190:{3,4,7}:{(168,1),(169,1),(172,1),(201,1),(202,1)}
       191:{1,3,7}:{(169,1),(170,1),(173,1),(203,1)}
       192:{2,3,7}:{(169,1),(174,1),(202,1),(203,1)}
       193:{3,5}:{(171,1),(172,1),(204,1)}
       194:{2,4,6}:{(172,1),(174,1),(176,1),(202,1),(204,1),(209,1)}
       195:{1,2,6}:{(173,1),(174,1),(177,1),(203,1)}
       196:{1,2,4}:{(175,1),(176,1),(177,1),(205,1)}
       197:{4,6}:{(180,1),(181,1)}
       198:{3,6}:{(182,1),(183,1),(206,1)}
       199:{1,5,7}:{(183,1),(184,1),(186,1),(206,1)}
       200:{1,4,6}:{(188,1),(189,1),(197,1),(207,1)}
       201:{3,5,7}:{(189,1),(190,1),(193,1),(207,1),(208,1)}
       202:{2,4,7}:{(190,1),(192,1),(194,1),(208,1)}
       203:{1,2,7}:{(191,1),(192,1),(195,1)}
       204:{2,5}:{(193,1),(194,1)}
       205:{2,3}:{(196,1)}
       206:{1,6}:{(198,1),(199,1)}
       207:{3,6}:{(200,1),(201,1),(209,1)}
       208:{2,5,7}:{(201,1),(202,1),(204,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

 850 :  0:{1,3,4}:{(2,1),(3,1),(47,1)}
        1:{3,4,5}:{(6,1),(7,1),(8,1),(34,1),(73,1)}
        2:{1,3,5}:{(0,1),(7,1),(9,1),(10,1),(34,1)}
        3:{1,2,4}:{(0,1),(10,1),(11,1),(37,1)}
        4:{2,3,4}:{(12,1),(13,1),(47,1)}
        5:{4,5,6}:{(15,1),(16,1),(65,1),(83,1)}
        6:{3,4,6}:{(1,1),(16,1),(17,1),(18,1),(19,1),(46,1),(65,1)}
        7:{1,4,5}:{(1,1),(2,1),(18,1)}
        8:{2,4,5}:{(1,1),(12,1),(19,1)}
        9:{1,3,6}:{(2,1),(18,1),(21,1),(22,1),(46,1)}
       10:{1,2,5}:{(2,1),(3,1),(22,1),(23,1)}
       11:{2,3}:{(3,1)}
       12:{2,3,5}:{(4,1),(8,1),(24,1),(25,1),(34,1)}
       13:{1,2,4}:{(4,1),(25,1),(26,1),(52,1)}
       14:{5,6,7}:{(27,1),(81,1)}
       15:{4,5,7}:{(5,1),(27,1),(28,1),(72,1),(81,1)}
       16:{3,5,6}:{(5,1),(6,1),(28,1),(29,1),(30,1)}
       17:{3,4,7}:{(6,1),(28,1),(31,1),(32,1),(57,1),(72,1)}
       18:{1,4,6}:{(6,1),(7,1),(9,1),(29,1),(31,1)}
       19:{2,4,6}:{(6,1),(8,1),(24,1),(30,1),(32,1)}
       20:{1,2,4,5}:{(7,1),(8,1),(10,1),(25,1),(33,1),(34,1),(37,1),(52,1),(60,1),(70,1),(73,1)}
       21:{1,3,7}:{(9,1),(31,1),(35,1),(57,1)}
       22:{1,2,6}:{(9,1),(10,1),(35,1),(36,1)}
       23:{2,3,5}:{(10,1),(11,1),(34,1),(36,1),(37,1),(60,1)}
       24:{2,3,6}:{(12,1),(19,1),(38,1),(39,1),(46,1)}
       25:{1,2,5}:{(12,1),(13,1),(39,1),(40,1)}
       26:{1,3}:{(13,1)}
       27:{4,6,7}:{(14,1),(15,1),(41,1)}
       28:{3,5,7}:{(15,1),(16,1),(17,1),(41,1),(42,1),(43,1)}
       29:{1,5,6}:{(16,1),(18,1),(42,1)}
       30:{2,5,6}:{(16,1),(19,1),(43,1)}
       31:{1,4,7}:{(17,1),(18,1),(21,1),(42,1)}
       32:{2,4,7}:{(17,1),(19,1),(38,1),(43,1)}
       33:{1,2,4,6}:{(18,1),(19,1),(20,1),(22,1),(39,1),(44,1),(45,1),(46,1),(49,1),(62,1),(65,1)}
       34:{3,5}:{(20,1),(46,1),(47,1)}
       35:{1,2,7}:{(21,1),(22,1),(48,1)}
       36:{2,3,6}:{(22,1),(23,1),(46,1),(48,1),(49,1)}
       37:{2,4}:{(23,1),(47,1)}
       38:{2,3,7}:{(24,1),(32,1),(50,1),(57,1)}
       39:{1,2,6}:{(24,1),(25,1),(50,1),(51,1)}
       40:{1,3,5}:{(25,1),(26,1),(34,1),(51,1),(52,1),(70,1)}
       41:{3,6,7}:{(27,1),(28,1),(53,1),(54,1)}
       42:{1,5,7}:{(28,1),(29,1),(31,1),(53,1)}
       43:{2,5,7}:{(28,1),(30,1),(32,1),(54,1)}
       44:{1,2,5,6}:{(29,1),(30,1),(33,1),(55,1),(56,1),(60,1),(70,1),(75,1),(80,1)}
       45:{1,2,4,7}:{(31,1),(32,1),(33,1),(35,1),(50,1),(55,1),(57,1),(59,1),(69,1),(72,1)}
       46:{3,6}:{(33,1),(34,1),(57,1)}
       47:{3,4}:{(34,1),(37,1),(52,1)}
       48:{2,3,7}:{(35,1),(36,1),(57,1),(59,1)}
       49:{2,4,6}:{(36,1),(37,1),(58,1),(59,1),(60,1),(75,1)}
       50:{1,2,7}:{(38,1),(39,1),(61,1)}
       51:{1,3,6}:{(39,1),(40,1),(46,1),(61,1),(62,1)}
       52:{1,4}:{(40,1),(47,1)}
       53:{1,6,7}:{(41,1),(42,1)}
       54:{2,6,7}:{(41,1),(43,1)}
       55:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(63,1),(64,1),(68,1),(76,1)}
       56:{3,5,6}:{(44,1),(46,1),(64,1),(65,1),(67,1),(79,1),(83,1)}
       57:{3,7}:{(45,1),(46,1)}
       58:{3,4,6}:{(46,1),(47,1),(49,1),(62,1),(65,1),(66,1),(67,1),(79,1)}
       59:{2,4,7}:{(48,1),(49,1),(66,1),(68,1)}
       60:{2,5}:{(49,1),(67,1)}
       61:{1,3,7}:{(50,1),(51,1),(57,1),(69,1)}
       62:{1,4,6}:{(51,1),(52,1),(58,1),(69,1),(70,1),(80,1)}
       63:{1,2,6,7}:{(53,1),(54,1),(55,1),(71,1),(75,1),(80,1)}
       64:{3,5,7}:{(55,1),(56,1),(57,1),(71,1),(72,1),(81,1)}
       65:{4,6}:{(56,1),(72,1),(73,1)}
       66:{3,4,7}:{(57,1),(58,1),(59,1),(69,1),(72,1),(74,1)}
       67:{3,5}:{(58,1),(60,1),(70,1),(73,1)}
       68:{2,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{1,4,7}:{(61,1),(62,1),(66,1),(76,1)}
       70:{1,5}:{(62,1),(67,1)}
       71:{3,6,7}:{(63,1),(64,1),(77,1),(79,1)}
       72:{4,7}:{(64,1),(65,1)}
       73:{4,5}:{(65,1),(67,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(78,1),(79,1)}
       75:{2,6}:{(68,1),(79,1)}
       76:{1,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       78:{4,5,7}:{(72,1),(73,1),(74,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(82,1)}
       80:{1,6}:{(76,1),(79,1)}
       81:{5,7}:{(77,1),(83,1)}
       82:{4,6}:{(78,1),(79,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 851 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(54,1),(112,1)}
         1:{1,3,4,6}:{(2,1),(5,1),(6,1),(20,1),(23,1),(27,1),(54,1),(64,1)}
         2:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(36,1)}
         3:{1,2,3,5}:{(0,1),(8,1),(10,1),(34,1),(86,1),(91,1)}
         4:{1,2,3,7}:{(0,1),(9,1),(84,1),(140,1),(230,1)}
         5:{1,3,5}:{(1,1),(8,1),(13,1),(34,1),(95,1)}
         6:{1,3,4,7}:{(1,1),(9,1),(14,1),(39,1),(42,1),(84,1),(219,1)}
         7:{2,3,4,6}:{(2,1),(15,1),(16,1),(20,1),(49,1),(53,1),(54,1),(64,1)}
         8:{1,2,5}:{(2,1),(5,1),(15,1)}
         9:{1,2,4,7}:{(2,1),(4,1),(6,1),(16,1),(19,1),(227,1)}
        10:{1,2,4}:{(3,1),(20,1)}
        11:{1,2,3,5,7}:{(3,1),(4,1),(19,1),(21,1),(22,1),(59,1),(65,1),(117,1),(121,1),(171,1)}
        12:{1,3,5,6}:{(5,1),(17,1),(23,1),(24,1),(27,1),(47,1),(54,1),(71,1),(120,1)}
        13:{1,4,5}:{(5,1),(23,1),(25,1),(125,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(19,1),(26,1),(27,1),(59,1),(207,1),(224,1)}
        15:{2,3,5}:{(7,1),(8,1),(30,1),(34,1),(95,1)}
        16:{2,3,4,7}:{(7,1),(9,1),(31,1),(39,1),(77,1),(84,1),(220,1)}
        17:{1,2,5,6}:{(8,1),(12,1),(29,1),(32,1),(33,1),(36,1),(72,1),(132,1)}
        18:{1,2,4,5}:{(8,1),(10,1),(13,1),(30,1),(32,1),(34,1),(44,1),(79,1),(86,1)}
        19:{1,2,5,7}:{(8,1),(9,1),(14,1),(31,1),(36,1),(221,1),(229,1)}
        20:{3,4}:{(10,1),(34,1)}
        21:{1,2,4,7}:{(10,1),(11,1),(39,1),(40,1),(189,1)}
        22:{1,2,3,6}:{(11,1),(36,1),(40,1),(89,1),(144,1)}
        23:{1,4,6}:{(12,1),(13,1),(41,1),(42,1),(147,1)}
        24:{1,3,5,7}:{(12,1),(33,1),(42,1),(43,1),(73,1),(84,1),(98,1),(143,1)}
        25:{3,4,5}:{(13,1),(34,1),(41,1),(44,1)}
        26:{1,4,5,7}:{(13,1),(14,1),(42,1),(45,1),(46,1),(98,1),(192,1),(216,1)}
        27:{1,3,6}:{(14,1),(36,1),(46,1),(89,1)}
        28:{1,4,5,6}:{(23,1),(47,1),(48,1),(71,1),(129,1)}
        29:{2,3,5,6}:{(15,1),(17,1),(49,1),(50,1),(53,1),(54,1),(104,1),(111,1),(120,1)}
        30:{2,4,5}:{(15,1),(49,1),(51,1),(125,1)}
        31:{2,3,5,7}:{(15,1),(16,1),(19,1),(52,1),(53,1),(59,1),(208,1),(225,1)}
        32:{1,2,4,6}:{(17,1),(18,1),(23,1),(49,1),(54,1),(55,1),(66,1),(106,1),(112,1)}
        33:{1,2,5,7}:{(17,1),(24,1),(50,1),(55,1),(56,1),(101,1),(157,1)}
        34:{3,5}:{(18,1),(20,1),(54,1)}
        35:{1,2,4,5,7}:{(18,1),(19,1),(21,1),(26,1),(52,1),(55,1),(59,1),(60,1),(65,1),(69,1),(109,1),(116,1),(117,1),(125,1),(167,1),(172,1),(200,1)}
        36:{1,2,6}:{(19,1),(27,1),(53,1)}
        37:{1,3,4}:{(20,1),(57,1),(61,1)}
        38:{2,3,4}:{(20,1),(58,1),(61,1)}
        39:{3,4,7}:{(20,1),(21,1),(59,1),(64,1),(167,1),(206,1)}
        40:{1,2,4,6}:{(21,1),(22,1),(64,1),(65,1)}
        41:{3,4,6}:{(23,1),(25,1),(47,1),(54,1),(66,1),(67,1)}
        42:{1,4,7}:{(23,1),(24,1),(67,1),(167,1)}
        43:{1,3,6,7}:{(24,1),(27,1),(56,1),(68,1),(102,1),(115,1),(224,1)}
        44:{2,4,5}:{(25,1),(58,1),(66,1)}
        45:{3,4,5,7}:{(25,1),(26,1),(59,1),(67,1),(69,1),(70,1),(125,1),(127,1),(167,1),(174,1),(202,1)}
        46:{1,4,6}:{(26,1),(27,1),(70,1),(71,1)}
        47:{3,5,6}:{(28,1),(41,1),(72,1),(73,1)}
        48:{1,4,5,7}:{(28,1),(42,1),(73,1),(74,1),(98,1),(153,1)}
        49:{2,4,6}:{(29,1),(30,1),(76,1),(77,1),(147,1)}
        50:{2,3,5,7}:{(29,1),(33,1),(77,1),(78,1),(84,1),(133,1),(137,1),(143,1)}
        51:{3,4,5}:{(30,1),(34,1),(76,1),(79,1)}
        52:{2,4,5,7}:{(30,1),(31,1),(77,1),(80,1),(81,1),(137,1),(191,1),(215,1)}
        53:{2,3,6}:{(31,1),(36,1),(81,1),(89,1)}
        54:{3,6}:{(32,1),(34,1),(84,1)}
        55:{1,2,4,7}:{(32,1),(33,1),(42,1),(77,1),(84,1),(96,1),(135,1),(140,1)}
        56:{1,2,6,7}:{(33,1),(36,1),(43,1),(78,1),(130,1),(178,1),(229,1)}
        57:{1,3,5}:{(34,1),(37,1),(79,1),(82,1),(86,1)}
        58:{2,3,5}:{(34,1),(38,1),(44,1),(83,1),(86,1)}
        59:{3,5,7}:{(34,1),(35,1),(39,1),(84,1),(89,1),(95,1),(190,1),(214,1)}
        60:{1,2,4,6}:{(35,1),(36,1),(46,1),(81,1),(89,1),(90,1),(99,1),(138,1),(144,1),(147,1)}
        61:{1,2,4}:{(37,1),(38,1),(86,1),(91,1)}
        62:{1,3,4,7}:{(37,1),(39,1),(87,1),(92,1),(93,1),(184,1),(214,1)}
        63:{2,3,4,7}:{(38,1),(39,1),(88,1),(92,1),(94,1),(185,1),(214,1)}
        64:{3,4,6}:{(39,1),(40,1),(89,1),(95,1),(147,1)}
        65:{1,2,5}:{(40,1),(95,1)}
        66:{2,4,6}:{(41,1),(44,1),(72,1),(83,1),(96,1)}
        67:{3,4,7}:{(41,1),(42,1),(73,1),(84,1),(96,1)}
        68:{1,4,6,7}:{(42,1),(43,1),(46,1),(97,1),(98,1),(210,1),(216,1)}
        69:{2,4,5,7}:{(44,1),(45,1),(88,1),(96,1),(99,1),(151,1),(152,1),(185,1)}
        70:{3,4,6}:{(45,1),(46,1),(89,1),(99,1),(100,1),(147,1)}
        71:{1,5,6}:{(46,1),(98,1),(100,1)}
        72:{2,5,6}:{(47,1),(66,1),(101,1)}
        73:{3,5,7}:{(47,1),(48,1),(67,1),(101,1),(102,1)}
        74:{1,4,6,7}:{(48,1),(102,1),(103,1),(156,1)}
        75:{2,4,5,6}:{(49,1),(104,1),(105,1),(111,1),(163,1)}
        76:{3,4,6}:{(49,1),(51,1),(54,1),(104,1),(106,1),(107,1)}
        77:{2,4,7}:{(49,1),(50,1),(107,1),(167,1)}
        78:{2,3,6,7}:{(50,1),(53,1),(56,1),(108,1),(115,1),(158,1),(225,1)}
        79:{1,4,5}:{(51,1),(57,1),(106,1)}
        80:{3,4,5,7}:{(51,1),(52,1),(59,1),(107,1),(109,1),(110,1),(125,1),(161,1),(167,1),(173,1),(201,1)}
        81:{2,4,6}:{(52,1),(53,1),(110,1),(111,1)}
        82:{1,3,6}:{(54,1),(57,1),(106,1),(112,1),(113,1)}
        83:{2,3,6}:{(54,1),(58,1),(66,1),(112,1),(114,1)}
        84:{3,7}:{(54,1),(55,1)}
        85:{1,2,4,6,7}:{(55,1),(56,1),(60,1),(68,1),(108,1),(115,1),(116,1),(126,1),(160,1),(164,1),(167,1),(200,1)}
        86:{1,2,5}:{(57,1),(58,1),(61,1),(112,1)}
        87:{1,3,5,7}:{(57,1),(59,1),(62,1),(109,1),(113,1),(117,1),(118,1),(123,1)}
        88:{2,3,5,7}:{(58,1),(59,1),(63,1),(69,1),(114,1),(117,1),(119,1),(124,1)}
        89:{3,6}:{(59,1),(60,1)}
        90:{1,2,5,6}:{(60,1),(65,1),(71,1),(111,1),(116,1),(120,1),(128,1),(162,1)}
        91:{1,2,3}:{(61,1)}
        92:{1,2,4,7}:{(61,1),(62,1),(63,1),(117,1),(121,1),(122,1)}
        93:{1,3,4,6}:{(62,1),(64,1),(118,1),(122,1),(123,1),(169,1),(203,1),(206,1)}
        94:{2,3,4,6}:{(63,1),(64,1),(119,1),(122,1),(124,1),(170,1),(203,1),(206,1)}
        95:{3,5}:{(64,1),(65,1),(125,1)}
        96:{2,4,7}:{(66,1),(67,1),(101,1),(114,1)}
        97:{3,4,6,7}:{(67,1),(68,1),(70,1),(102,1),(115,1),(126,1),(127,1),(156,1),(167,1),(195,1),(202,1)}
        98:{1,5,7}:{(68,1),(71,1),(127,1)}
        99:{2,4,6}:{(69,1),(70,1),(119,1),(128,1)}
       100:{3,5,6}:{(70,1),(71,1),(127,1),(128,1),(129,1)}
       101:{2,5,7}:{(72,1),(73,1),(96,1),(130,1)}
       102:{3,6,7}:{(73,1),(74,1),(130,1)}
       103:{1,5,6,7}:{(74,1),(98,1),(131,1),(210,1)}
       104:{3,5,6}:{(75,1),(76,1),(132,1),(133,1)}
       105:{2,4,5,7}:{(75,1),(77,1),(133,1),(134,1),(137,1),(181,1)}
       106:{1,4,6}:{(76,1),(79,1),(82,1),(132,1),(135,1)}
       107:{3,4,7}:{(76,1),(77,1),(84,1),(133,1),(135,1)}
       108:{2,4,6,7}:{(77,1),(78,1),(81,1),(136,1),(137,1),(215,1),(228,1)}
       109:{1,4,5,7}:{(79,1),(80,1),(87,1),(135,1),(138,1),(150,1),(180,1),(184,1)}
       110:{3,4,6}:{(80,1),(81,1),(89,1),(138,1),(139,1),(147,1)}
       111:{2,5,6}:{(81,1),(137,1),(139,1)}
       112:{1,2,6}:{(82,1),(83,1),(86,1),(140,1)}
       113:{1,3,7}:{(82,1),(84,1),(135,1),(140,1)}
       114:{2,3,7}:{(83,1),(84,1),(96,1),(140,1)}
       115:{3,6,7}:{(84,1),(85,1),(89,1),(143,1),(214,1)}
       116:{1,2,5,7}:{(85,1),(90,1),(98,1),(137,1),(143,1),(152,1),(180,1)}
       117:{1,2,5,7}:{(86,1),(87,1),(88,1),(92,1),(140,1),(144,1),(149,1)}
       118:{1,3,6}:{(87,1),(89,1),(138,1),(144,1)}
       119:{2,3,6}:{(88,1),(89,1),(99,1),(144,1)}
       120:{3,5,6}:{(89,1),(90,1),(95,1),(143,1),(147,1)}
       121:{1,2,3,7}:{(91,1),(92,1),(148,1),(214,1),(229,1)}
       122:{1,2,4,6}:{(92,1),(93,1),(94,1),(144,1),(148,1),(149,1),(189,1)}
       123:{1,3,5}:{(93,1),(95,1),(149,1),(150,1),(190,1)}
       124:{2,3,5}:{(94,1),(95,1),(149,1),(151,1),(190,1)}
       125:{4,5}:{(95,1),(147,1)}
       126:{2,4,6,7}:{(96,1),(97,1),(99,1),(130,1),(142,1),(152,1),(185,1)}
       127:{3,5,7}:{(97,1),(98,1),(100,1),(152,1),(153,1)}
       128:{2,5,6}:{(99,1),(100,1),(152,1)}
       129:{4,5,6}:{(100,1),(147,1),(153,1)}
       130:{2,6,7}:{(101,1),(102,1)}
       131:{3,5,6,7}:{(102,1),(103,1),(127,1),(155,1),(156,1),(195,1)}
       132:{1,5,6}:{(104,1),(106,1),(157,1)}
       133:{3,5,7}:{(104,1),(105,1),(107,1),(157,1),(158,1)}
       134:{2,4,6,7}:{(105,1),(158,1),(159,1),(197,1)}
       135:{1,4,7}:{(106,1),(107,1),(113,1),(157,1)}
       136:{3,4,6,7}:{(107,1),(108,1),(110,1),(115,1),(158,1),(160,1),(161,1),(167,1),(197,1),(201,1),(222,1)}
       137:{2,5,7}:{(108,1),(111,1),(161,1)}
       138:{1,4,6}:{(109,1),(110,1),(118,1),(162,1)}
       139:{3,5,6}:{(110,1),(111,1),(161,1),(162,1),(163,1)}
       140:{1,2,7}:{(112,1),(113,1),(114,1)}
       141:{1,3,6,7}:{(113,1),(115,1),(118,1),(160,1),(164,1),(165,1),(222,1)}
       142:{2,3,6,7}:{(114,1),(115,1),(119,1),(126,1),(164,1),(166,1),(195,1)}
       143:{3,5,7}:{(115,1),(116,1),(120,1),(167,1)}
       144:{1,2,6}:{(117,1),(118,1),(119,1)}
       145:{1,3,5,6}:{(118,1),(120,1),(123,1),(162,1),(165,1),(168,1),(169,1),(199,1),(203,1)}
       146:{2,3,5,6}:{(119,1),(120,1),(124,1),(128,1),(166,1),(168,1),(170,1),(176,1),(203,1)}
       147:{4,6}:{(120,1),(125,1),(167,1)}
       148:{1,2,3,6}:{(121,1),(122,1),(171,1),(203,1),(226,1)}
       149:{1,2,5}:{(122,1),(123,1),(124,1)}
       150:{1,4,5}:{(123,1),(125,1),(169,1),(173,1)}
       151:{2,4,5}:{(124,1),(125,1),(170,1),(174,1)}
       152:{2,5,7}:{(126,1),(127,1),(128,1)}
       153:{4,5,7}:{(127,1),(129,1),(156,1),(167,1)}
       154:{2,4,5,6}:{(128,1),(129,1),(170,1),(175,1),(176,1)}
       155:{2,5,6,7}:{(130,1),(131,1),(152,1),(177,1)}
       156:{4,6,7}:{(131,1),(153,1)}
       157:{1,5,7}:{(132,1),(133,1),(135,1),(178,1)}
       158:{3,6,7}:{(133,1),(134,1),(178,1)}
       159:{2,5,6,7}:{(134,1),(137,1),(179,1),(228,1)}
       160:{1,4,6,7}:{(135,1),(136,1),(138,1),(141,1),(178,1),(180,1),(184,1)}
       161:{3,5,7}:{(136,1),(137,1),(139,1),(180,1),(181,1)}
       162:{1,5,6}:{(138,1),(139,1),(180,1)}
       163:{4,5,6}:{(139,1),(147,1),(181,1)}
       164:{1,2,6,7}:{(140,1),(141,1),(142,1),(144,1),(183,1),(210,1),(228,1)}
       165:{1,3,5,7}:{(141,1),(143,1),(145,1),(180,1),(183,1),(184,1),(212,1),(214,1)}
       166:{2,3,5,7}:{(142,1),(143,1),(146,1),(152,1),(183,1),(185,1),(193,1),(214,1)}
       167:{4,7}:{(143,1),(147,1)}
       168:{1,2,5,6}:{(144,1),(145,1),(146,1),(149,1),(183,1),(186,1),(194,1),(213,1)}
       169:{1,4,6}:{(145,1),(147,1),(150,1),(184,1),(187,1)}
       170:{2,4,6}:{(146,1),(147,1),(151,1),(185,1),(188,1)}
       171:{1,2,3,5}:{(148,1),(149,1),(189,1),(190,1),(221,1),(230,1)}
       172:{1,2,4,5}:{(149,1),(150,1),(151,1),(186,1),(189,1),(190,1),(191,1),(192,1),(221,1)}
       173:{3,4,5}:{(150,1),(187,1),(190,1),(191,1)}
       174:{3,4,5}:{(151,1),(188,1),(190,1),(192,1)}
       175:{2,4,5,7}:{(152,1),(153,1),(154,1),(177,1),(185,1),(193,1)}
       176:{3,5,6}:{(154,1),(188,1),(193,1),(194,1)}
       177:{2,4,6,7}:{(155,1),(156,1),(175,1),(195,1)}
       178:{1,6,7}:{(157,1),(158,1)}
       179:{3,5,6,7}:{(158,1),(159,1),(161,1),(196,1),(197,1),(222,1)}
       180:{1,5,7}:{(160,1),(161,1),(162,1)}
       181:{4,5,7}:{(161,1),(163,1),(167,1),(197,1)}
       182:{1,4,5,6}:{(162,1),(163,1),(169,1),(198,1),(199,1)}
       183:{1,2,5,7}:{(164,1),(165,1),(166,1),(168,1),(200,1),(209,1),(223,1)}
       184:{1,4,7}:{(165,1),(167,1),(169,1),(201,1)}
       185:{2,4,7}:{(166,1),(167,1),(170,1),(202,1)}
       186:{1,2,4,6}:{(168,1),(169,1),(170,1),(172,1),(200,1),(203,1),(204,1),(205,1),(226,1)}
       187:{3,4,6}:{(169,1),(173,1),(199,1),(201,1),(203,1),(204,1)}
       188:{3,4,6}:{(170,1),(174,1),(176,1),(202,1),(203,1),(205,1)}
       189:{1,2,4}:{(171,1),(206,1)}
       190:{3,5}:{(172,1),(203,1),(206,1)}
       191:{2,4,5}:{(173,1),(204,1),(208,1)}
       192:{1,4,5}:{(174,1),(205,1),(207,1)}
       193:{3,5,7}:{(175,1),(176,1),(195,1),(202,1),(209,1)}
       194:{1,5,6}:{(176,1),(205,1),(209,1)}
       195:{3,6,7}:{(177,1),(193,1),(210,1)}
       196:{1,5,6,7}:{(178,1),(179,1),(180,1),(211,1)}
       197:{4,6,7}:{(179,1),(181,1)}
       198:{1,4,5,7}:{(180,1),(181,1),(182,1),(184,1),(211,1),(212,1)}
       199:{3,5,6}:{(182,1),(187,1),(212,1),(213,1)}
       200:{1,2,4,7}:{(183,1),(184,1),(185,1),(186,1),(214,1),(215,1),(216,1),(229,1)}
       201:{3,4,7}:{(184,1),(187,1),(212,1),(214,1),(215,1)}
       202:{3,4,7}:{(185,1),(188,1),(193,1),(214,1),(216,1)}
       203:{3,6}:{(186,1),(190,1),(214,1)}
       204:{2,4,6}:{(187,1),(191,1),(213,1),(215,1),(218,1)}
       205:{1,4,6}:{(188,1),(192,1),(194,1),(216,1),(217,1)}
       206:{3,4}:{(189,1),(190,1)}
       207:{1,3,5}:{(190,1),(192,1),(217,1),(219,1),(221,1)}
       208:{2,3,5}:{(190,1),(191,1),(218,1),(220,1),(221,1)}
       209:{1,5,7}:{(193,1),(194,1),(210,1),(216,1)}
       210:{1,6,7}:{(195,1),(209,1)}
       211:{1,4,6,7}:{(196,1),(197,1),(198,1),(222,1)}
       212:{3,5,7}:{(198,1),(199,1),(201,1),(222,1),(223,1)}
       213:{2,5,6}:{(199,1),(204,1),(223,1)}
       214:{3,7}:{(200,1),(203,1)}
       215:{2,4,7}:{(201,1),(204,1),(223,1),(225,1)}
       216:{1,4,7}:{(202,1),(205,1),(209,1),(224,1)}
       217:{1,3,6}:{(203,1),(205,1),(207,1),(224,1),(226,1)}
       218:{2,3,6}:{(203,1),(204,1),(208,1),(225,1),(226,1)}
       219:{1,3,4}:{(206,1),(207,1),(227,1)}
       220:{2,3,4}:{(206,1),(208,1),(227,1)}
       221:{1,2,5}:{(207,1),(208,1),(226,1),(227,1)}
       222:{3,6,7}:{(211,1),(212,1),(228,1)}
       223:{2,5,7}:{(212,1),(213,1),(215,1),(228,1)}
       224:{1,3,7}:{(214,1),(216,1),(217,1),(229,1)}
       225:{2,3,7}:{(214,1),(215,1),(218,1),(229,1)}
       226:{1,2,6}:{(217,1),(218,1),(221,1),(229,1)}
       227:{1,2,4}:{(219,1),(220,1),(221,1),(230,1)}
       228:{2,6,7}:{(222,1),(223,1)}
       229:{1,2,7}:{(224,1),(225,1),(226,1)}
       230:{1,2,3}:{(227,1)}

 852 :   0:{1,2,3,7}:{(4,1),(5,1),(158,1),(200,1),(210,1)}
         1:{1,3,4,7}:{(4,1),(6,1),(7,1),(25,1),(94,1),(138,1),(158,1)}
         2:{1,2,3,5,7}:{(0,1),(8,1),(10,1),(11,1),(16,1),(18,1),(41,1),(43,1),(46,1),(49,1)}
         3:{3,4,5,7}:{(12,1),(13,1),(14,1),(46,1),(54,1),(65,1),(106,1),(110,1),(129,1),(174,1),(178,1)}
         4:{1,2,4,7}:{(0,1),(1,1),(15,1),(16,1),(17,1),(173,1)}
         5:{1,2,3,6}:{(0,1),(17,1),(18,1),(125,1),(190,1)}
         6:{1,3,5,7}:{(1,1),(13,1),(16,1),(19,1),(20,1),(46,1),(171,1),(216,1)}
         7:{1,3,4,6}:{(1,1),(17,1),(19,1),(20,1),(47,1),(62,1),(64,1),(125,1)}
         8:{1,2,3,7}:{(21,1),(22,1),(162,1),(196,1),(226,1)}
         9:{2,3,4,7}:{(21,1),(23,1),(24,1),(25,1),(93,1),(140,1),(196,1)}
        10:{1,2,4,7}:{(2,1),(25,1),(27,1),(36,1),(70,1)}
        11:{1,2,3,6}:{(2,1),(27,1),(34,1),(68,1),(75,1)}
        12:{2,4,5,7}:{(3,1),(23,1),(28,1),(73,1),(79,1),(96,1),(140,1),(163,1)}
        13:{1,4,5,7}:{(3,1),(6,1),(29,1),(39,1),(81,1),(94,1),(142,1),(201,1)}
        14:{3,4,6}:{(3,1),(28,1),(29,1),(31,1),(75,1),(146,1)}
        15:{2,3,4,7}:{(4,1),(25,1),(32,1),(33,1),(139,1),(155,1),(158,1)}
        16:{1,2,5,7}:{(4,1),(6,1),(32,1),(34,1),(35,1),(199,1),(226,1)}
        17:{1,2,4,6}:{(4,1),(5,1),(7,1),(33,1),(34,1),(35,1),(36,1)}
        18:{1,2,3,5}:{(5,1),(35,1),(36,1),(91,1),(161,1),(162,1)}
        19:{1,3,6}:{(6,1),(29,1),(34,1),(75,1)}
        20:{1,3,5}:{(7,1),(35,1),(39,1),(76,1),(91,1)}
        21:{1,2,4,7}:{(8,1),(9,1),(40,1),(41,1),(42,1),(128,1)}
        22:{1,2,3,6}:{(8,1),(42,1),(43,1),(170,1),(218,1)}
        23:{2,3,5,7}:{(9,1),(12,1),(41,1),(44,1),(45,1),(46,1),(127,1),(189,1)}
        24:{2,3,4,6}:{(9,1),(42,1),(44,1),(45,1),(47,1),(103,1),(105,1),(170,1)}
        25:{3,4,7}:{(10,1),(46,1),(47,1),(62,1),(103,1),(178,1)}
        26:{1,2,4,5,7}:{(10,1),(12,1),(13,1),(16,1),(41,1),(46,1),(48,1),(49,1),(56,1),(61,1),(97,1),(102,1),(110,1),(111,1),(124,1),(169,1),(178,1)}
        27:{1,2,4,6}:{(10,1),(11,1),(47,1),(49,1)}
        28:{2,4,6}:{(12,1),(14,1),(44,1),(51,1)}
        29:{1,4,6}:{(13,1),(14,1),(19,1),(53,1)}
        30:{3,4,6,7}:{(14,1),(50,1),(52,1),(54,1),(108,1),(118,1),(129,1),(174,1),(178,1),(179,1),(181,1)}
        31:{3,5,6}:{(14,1),(51,1),(53,1),(54,1),(55,1)}
        32:{2,3,5,7}:{(15,1),(16,1),(46,1),(56,1),(57,1),(58,1),(172,1),(217,1)}
        33:{2,3,4,6}:{(15,1),(17,1),(47,1),(57,1),(58,1),(62,1),(122,1),(125,1)}
        34:{1,2,6}:{(16,1),(19,1),(57,1)}
        35:{1,2,5}:{(17,1),(20,1),(58,1)}
        36:{1,2,4}:{(18,1),(62,1)}
        37:{1,3,6,7}:{(19,1),(52,1),(59,1),(63,1),(108,1),(181,1),(216,1)}
        38:{1,3,5,6}:{(19,1),(20,1),(53,1),(60,1),(63,1),(64,1),(109,1),(117,1),(125,1)}
        39:{1,4,5}:{(20,1),(64,1),(65,1),(110,1)}
        40:{1,3,4,7}:{(21,1),(25,1),(66,1),(67,1),(92,1),(193,1),(196,1)}
        41:{1,2,5,7}:{(21,1),(23,1),(66,1),(68,1),(69,1),(161,1),(210,1)}
        42:{1,2,4,6}:{(21,1),(22,1),(24,1),(67,1),(68,1),(69,1),(70,1)}
        43:{1,2,3,5}:{(22,1),(69,1),(70,1),(137,1),(199,1),(200,1)}
        44:{2,3,6}:{(23,1),(28,1),(68,1),(75,1)}
        45:{2,3,5}:{(24,1),(69,1),(73,1),(76,1),(137,1)}
        46:{3,5,7}:{(25,1),(26,1),(75,1),(76,1),(91,1),(137,1),(158,1),(196,1)}
        47:{3,4,6}:{(25,1),(27,1),(75,1),(76,1),(146,1)}
        48:{1,2,4,6}:{(26,1),(28,1),(29,1),(34,1),(68,1),(75,1),(78,1),(85,1),(131,1),(146,1)}
        49:{1,2,5}:{(27,1),(76,1)}
        50:{2,4,6,7}:{(28,1),(30,1),(71,1),(79,1),(140,1),(163,1),(205,1)}
        51:{2,5,6}:{(28,1),(31,1),(79,1)}
        52:{1,4,6,7}:{(29,1),(30,1),(37,1),(81,1),(94,1),(201,1),(204,1)}
        53:{1,5,6}:{(29,1),(31,1),(81,1)}
        54:{3,5,7}:{(30,1),(31,1),(79,1),(81,1),(84,1)}
        55:{4,5,6}:{(31,1),(84,1),(146,1)}
        56:{2,4,5,7}:{(32,1),(74,1),(85,1),(88,1),(153,1),(155,1),(195,1),(225,1)}
        57:{2,3,6}:{(32,1),(34,1),(75,1),(85,1)}
        58:{2,3,5}:{(33,1),(35,1),(76,1),(88,1),(91,1)}
        59:{1,2,6,7}:{(34,1),(37,1),(86,1),(89,1),(205,1),(226,1),(227,1)}
        60:{1,2,5,6}:{(34,1),(35,1),(38,1),(87,1),(89,1),(90,1),(152,1),(208,1)}
        61:{1,2,4,5}:{(35,1),(36,1),(39,1),(88,1),(90,1),(91,1),(96,1),(157,1),(161,1)}
        62:{3,4}:{(36,1),(91,1)}
        63:{1,3,5,7}:{(37,1),(38,1),(81,1),(89,1),(94,1),(145,1),(151,1),(158,1)}
        64:{1,4,6}:{(38,1),(39,1),(94,1),(95,1),(146,1)}
        65:{3,4,5}:{(39,1),(91,1),(95,1),(96,1)}
        66:{1,3,5,7}:{(40,1),(41,1),(46,1),(97,1),(98,1),(99,1),(126,1),(188,1)}
        67:{1,3,4,6}:{(40,1),(42,1),(47,1),(98,1),(99,1),(103,1),(167,1),(170,1)}
        68:{1,2,6}:{(41,1),(44,1),(98,1)}
        69:{1,2,5}:{(42,1),(45,1),(99,1)}
        70:{1,2,4}:{(43,1),(103,1)}
        71:{2,3,6,7}:{(44,1),(50,1),(100,1),(104,1),(108,1),(179,1),(189,1)}
        72:{2,3,5,6}:{(44,1),(45,1),(51,1),(101,1),(104,1),(105,1),(109,1),(114,1),(170,1)}
        73:{2,4,5}:{(45,1),(105,1),(106,1),(110,1)}
        74:{3,4,5,7}:{(46,1),(56,1),(97,1),(107,1),(110,1),(123,1),(168,1),(176,1),(178,1),(186,1),(214,1)}
        75:{3,6}:{(46,1),(48,1)}
        76:{3,5}:{(47,1),(49,1),(110,1)}
        77:{1,2,4,6,7}:{(48,1),(50,1),(52,1),(59,1),(100,1),(108,1),(111,1),(119,1),(124,1),(164,1),(169,1),(178,1)}
        78:{1,2,5,6}:{(48,1),(49,1),(51,1),(53,1),(109,1),(111,1),(120,1),(165,1)}
        79:{2,5,7}:{(50,1),(51,1),(54,1)}
        80:{2,4,5,6}:{(51,1),(55,1),(105,1),(113,1),(114,1)}
        81:{1,5,7}:{(52,1),(53,1),(54,1)}
        82:{1,4,5,6}:{(53,1),(55,1),(64,1),(116,1),(117,1)}
        83:{3,5,6,7}:{(54,1),(112,1),(115,1),(118,1),(179,1),(181,1)}
        84:{4,5,7}:{(54,1),(55,1),(118,1),(178,1)}
        85:{2,4,6}:{(56,1),(57,1),(107,1),(120,1)}
        86:{2,3,6,7}:{(57,1),(59,1),(108,1),(119,1),(121,1),(217,1),(220,1)}
        87:{2,3,5,6}:{(57,1),(58,1),(60,1),(109,1),(120,1),(121,1),(122,1),(125,1),(185,1)}
        88:{2,4,5}:{(58,1),(110,1),(122,1),(123,1)}
        89:{1,2,5,7}:{(59,1),(60,1),(63,1),(121,1),(124,1),(182,1),(221,1)}
        90:{1,2,4,6}:{(60,1),(61,1),(64,1),(122,1),(124,1),(125,1),(130,1),(187,1),(190,1)}
        91:{3,5}:{(61,1),(62,1),(125,1)}
        92:{1,3,4}:{(62,1),(126,1),(128,1)}
        93:{2,3,4}:{(62,1),(127,1),(128,1)}
        94:{1,4,7}:{(63,1),(64,1),(129,1),(178,1)}
        95:{3,4,6}:{(64,1),(65,1),(117,1),(125,1),(129,1),(130,1)}
        96:{2,4,5}:{(65,1),(127,1),(130,1)}
        97:{1,4,5,7}:{(66,1),(74,1),(131,1),(134,1),(157,1),(191,1),(193,1),(209,1)}
        98:{1,3,6}:{(66,1),(68,1),(75,1),(131,1)}
        99:{1,3,5}:{(67,1),(69,1),(76,1),(134,1),(137,1)}
       100:{1,2,6,7}:{(68,1),(71,1),(132,1),(135,1),(204,1),(210,1),(230,1)}
       101:{1,2,5,6}:{(68,1),(69,1),(72,1),(133,1),(135,1),(136,1),(149,1),(224,1)}
       102:{1,2,4,5}:{(69,1),(70,1),(73,1),(134,1),(136,1),(137,1),(142,1),(195,1),(199,1)}
       103:{3,4}:{(70,1),(137,1)}
       104:{2,3,5,7}:{(71,1),(72,1),(79,1),(135,1),(140,1),(145,1),(148,1),(196,1)}
       105:{2,4,6}:{(72,1),(73,1),(140,1),(141,1),(146,1)}
       106:{3,4,5}:{(73,1),(137,1),(141,1),(142,1)}
       107:{3,4,6}:{(74,1),(75,1),(85,1),(131,1),(144,1),(146,1)}
       108:{3,6,7}:{(75,1),(77,1),(145,1),(158,1),(196,1)}
       109:{3,5,6}:{(75,1),(76,1),(78,1),(145,1),(146,1)}
       110:{4,5}:{(76,1),(146,1)}
       111:{1,2,5,7}:{(77,1),(78,1),(79,1),(81,1),(145,1),(153,1),(191,1)}
       112:{2,5,6,7}:{(79,1),(83,1),(147,1),(205,1)}
       113:{2,4,5,7}:{(79,1),(80,1),(84,1),(140,1),(147,1),(148,1)}
       114:{3,5,6}:{(80,1),(141,1),(148,1),(149,1)}
       115:{1,5,6,7}:{(81,1),(83,1),(150,1),(204,1)}
       116:{1,4,5,7}:{(81,1),(82,1),(84,1),(94,1),(150,1),(151,1)}
       117:{3,5,6}:{(82,1),(95,1),(151,1),(152,1)}
       118:{4,6,7}:{(83,1),(84,1)}
       119:{2,4,6,7}:{(85,1),(86,1),(143,1),(153,1),(155,1),(225,1),(230,1)}
       120:{2,5,6}:{(85,1),(144,1),(153,1)}
       121:{2,3,5,7}:{(86,1),(87,1),(89,1),(145,1),(153,1),(155,1),(158,1),(207,1)}
       122:{2,4,6}:{(87,1),(88,1),(146,1),(155,1),(156,1)}
       123:{3,4,5}:{(88,1),(91,1),(156,1),(157,1)}
       124:{1,2,4,7}:{(89,1),(90,1),(94,1),(155,1),(158,1),(163,1),(209,1),(210,1)}
       125:{3,6}:{(90,1),(91,1),(158,1)}
       126:{1,3,5}:{(91,1),(92,1),(157,1),(159,1),(161,1)}
       127:{2,3,5}:{(91,1),(93,1),(96,1),(160,1),(161,1)}
       128:{1,2,4}:{(92,1),(93,1),(161,1),(162,1)}
       129:{3,4,7}:{(94,1),(95,1),(151,1),(158,1),(163,1)}
       130:{2,4,6}:{(95,1),(96,1),(152,1),(160,1),(163,1)}
       131:{1,4,6}:{(97,1),(98,1),(107,1),(165,1)}
       132:{1,3,6,7}:{(98,1),(100,1),(108,1),(164,1),(166,1),(188,1),(228,1)}
       133:{1,3,5,6}:{(98,1),(99,1),(101,1),(109,1),(165,1),(166,1),(167,1),(170,1),(213,1)}
       134:{1,4,5}:{(99,1),(110,1),(167,1),(168,1)}
       135:{1,2,5,7}:{(100,1),(101,1),(104,1),(166,1),(169,1),(180,1),(229,1)}
       136:{1,2,4,6}:{(101,1),(102,1),(105,1),(167,1),(169,1),(170,1),(175,1),(215,1),(218,1)}
       137:{3,5}:{(102,1),(103,1),(170,1)}
       138:{1,3,4}:{(103,1),(171,1),(173,1)}
       139:{2,3,4}:{(103,1),(172,1),(173,1)}
       140:{2,4,7}:{(104,1),(105,1),(174,1),(178,1)}
       141:{3,4,6}:{(105,1),(106,1),(114,1),(170,1),(174,1),(175,1)}
       142:{1,4,5}:{(106,1),(171,1),(175,1)}
       143:{3,4,6,7}:{(107,1),(108,1),(119,1),(164,1),(176,1),(178,1),(186,1),(214,1),(219,1),(220,1),(228,1)}
       144:{3,5,6}:{(107,1),(120,1),(165,1),(176,1),(177,1)}
       145:{3,5,7}:{(108,1),(109,1),(111,1),(178,1)}
       146:{4,6}:{(109,1),(110,1),(178,1)}
       147:{2,4,6,7}:{(112,1),(113,1),(118,1),(179,1)}
       148:{3,5,7}:{(113,1),(114,1),(174,1),(179,1),(180,1)}
       149:{1,5,6}:{(114,1),(175,1),(180,1)}
       150:{1,4,6,7}:{(115,1),(116,1),(118,1),(181,1)}
       151:{3,5,7}:{(116,1),(117,1),(129,1),(181,1),(182,1)}
       152:{2,5,6}:{(117,1),(130,1),(182,1)}
       153:{2,5,7}:{(119,1),(120,1),(176,1)}
       154:{2,4,5,6}:{(120,1),(122,1),(177,1),(184,1),(185,1)}
       155:{2,4,7}:{(121,1),(122,1),(178,1),(186,1)}
       156:{3,4,6}:{(122,1),(123,1),(125,1),(185,1),(186,1),(187,1)}
       157:{1,4,5}:{(123,1),(126,1),(187,1)}
       158:{3,7}:{(124,1),(125,1)}
       159:{1,3,6}:{(125,1),(126,1),(187,1),(188,1),(190,1)}
       160:{2,3,6}:{(125,1),(127,1),(130,1),(189,1),(190,1)}
       161:{1,2,5}:{(126,1),(127,1),(128,1),(190,1)}
       162:{1,2,3}:{(128,1)}
       163:{2,4,7}:{(129,1),(130,1),(182,1),(189,1)}
       164:{1,4,6,7}:{(131,1),(132,1),(143,1),(191,1),(193,1),(209,1),(227,1)}
       165:{1,5,6}:{(131,1),(144,1),(191,1)}
       166:{1,3,5,7}:{(132,1),(133,1),(135,1),(145,1),(191,1),(193,1),(196,1),(223,1)}
       167:{1,4,6}:{(133,1),(134,1),(146,1),(193,1),(194,1)}
       168:{3,4,5}:{(134,1),(137,1),(194,1),(195,1)}
       169:{1,2,4,7}:{(135,1),(136,1),(140,1),(193,1),(196,1),(201,1),(225,1),(226,1)}
       170:{3,6}:{(136,1),(137,1),(196,1)}
       171:{1,3,5}:{(137,1),(138,1),(142,1),(197,1),(199,1)}
       172:{2,3,5}:{(137,1),(139,1),(195,1),(198,1),(199,1)}
       173:{1,2,4}:{(138,1),(139,1),(199,1),(200,1)}
       174:{3,4,7}:{(140,1),(141,1),(148,1),(196,1),(201,1)}
       175:{1,4,6}:{(141,1),(142,1),(149,1),(197,1),(201,1)}
       176:{3,5,7}:{(143,1),(144,1),(153,1),(191,1),(203,1)}
       177:{4,5,6}:{(144,1),(146,1),(203,1)}
       178:{4,7}:{(145,1),(146,1)}
       179:{3,6,7}:{(147,1),(148,1),(204,1)}
       180:{1,5,7}:{(148,1),(149,1),(201,1),(204,1)}
       181:{3,6,7}:{(150,1),(151,1),(205,1)}
       182:{2,5,7}:{(151,1),(152,1),(163,1),(205,1)}
       183:{2,5,6,7}:{(153,1),(202,1),(206,1),(230,1)}
       184:{2,4,5,7}:{(153,1),(154,1),(155,1),(203,1),(206,1),(207,1)}
       185:{3,5,6}:{(154,1),(156,1),(207,1),(208,1)}
       186:{3,4,7}:{(155,1),(156,1),(158,1),(207,1),(209,1)}
       187:{1,4,6}:{(156,1),(157,1),(159,1),(208,1),(209,1)}
       188:{1,3,7}:{(158,1),(159,1),(209,1),(210,1)}
       189:{2,3,7}:{(158,1),(160,1),(163,1),(210,1)}
       190:{1,2,6}:{(159,1),(160,1),(161,1),(210,1)}
       191:{1,5,7}:{(164,1),(165,1),(176,1)}
       192:{1,4,5,6}:{(165,1),(167,1),(177,1),(212,1),(213,1)}
       193:{1,4,7}:{(166,1),(167,1),(178,1),(214,1)}
       194:{3,4,6}:{(167,1),(168,1),(170,1),(213,1),(214,1),(215,1)}
       195:{2,4,5}:{(168,1),(172,1),(215,1)}
       196:{3,7}:{(169,1),(170,1)}
       197:{1,3,6}:{(170,1),(171,1),(175,1),(216,1),(218,1)}
       198:{2,3,6}:{(170,1),(172,1),(215,1),(217,1),(218,1)}
       199:{1,2,5}:{(171,1),(172,1),(173,1),(218,1)}
       200:{1,2,3}:{(173,1)}
       201:{1,4,7}:{(174,1),(175,1),(180,1),(216,1)}
       202:{3,5,6,7}:{(176,1),(183,1),(211,1),(219,1),(220,1),(228,1)}
       203:{4,5,7}:{(176,1),(177,1),(178,1),(219,1)}
       204:{1,6,7}:{(179,1),(180,1)}
       205:{2,6,7}:{(181,1),(182,1)}
       206:{2,4,6,7}:{(183,1),(184,1),(219,1),(220,1)}
       207:{3,5,7}:{(184,1),(185,1),(186,1),(220,1),(221,1)}
       208:{1,5,6}:{(185,1),(187,1),(221,1)}
       209:{1,4,7}:{(186,1),(187,1),(188,1),(221,1)}
       210:{1,2,7}:{(188,1),(189,1),(190,1)}
       211:{1,5,6,7}:{(191,1),(202,1),(222,1),(227,1)}
       212:{1,4,5,7}:{(191,1),(192,1),(193,1),(203,1),(222,1),(223,1)}
       213:{3,5,6}:{(192,1),(194,1),(223,1),(224,1)}
       214:{3,4,7}:{(193,1),(194,1),(196,1),(223,1),(225,1)}
       215:{2,4,6}:{(194,1),(195,1),(198,1),(224,1),(225,1)}
       216:{1,3,7}:{(196,1),(197,1),(201,1),(226,1)}
       217:{2,3,7}:{(196,1),(198,1),(225,1),(226,1)}
       218:{1,2,6}:{(197,1),(198,1),(199,1),(226,1)}
       219:{4,6,7}:{(202,1),(203,1)}
       220:{3,6,7}:{(206,1),(207,1),(227,1)}
       221:{1,5,7}:{(207,1),(208,1),(209,1),(227,1)}
       222:{1,4,6,7}:{(211,1),(212,1),(219,1),(228,1)}
       223:{3,5,7}:{(212,1),(213,1),(214,1),(228,1),(229,1)}
       224:{2,5,6}:{(213,1),(215,1),(229,1)}
       225:{2,4,7}:{(214,1),(215,1),(217,1),(229,1)}
       226:{1,2,7}:{(216,1),(217,1),(218,1)}
       227:{1,6,7}:{(220,1),(221,1)}
       228:{3,6,7}:{(222,1),(223,1),(230,1)}
       229:{2,5,7}:{(223,1),(224,1),(225,1),(230,1)}
       230:{2,6,7}:{(228,1),(229,1)}

 853 :   0:{1,3,5,7}:{(3,1),(4,1),(5,1),(8,1),(25,1),(29,1),(60,1)}
         1:{2,3,5,7}:{(3,1),(6,1),(7,1),(23,1),(25,1),(32,1),(60,1)}
         2:{1,4,5,7}:{(4,1),(8,1),(9,1),(22,1),(29,1),(52,1),(62,1)}
         3:{1,2,5,7}:{(0,1),(1,1),(12,1),(13,1),(18,1),(38,1),(44,1)}
         4:{1,4,7}:{(0,1),(14,1),(15,1),(74,1),(88,1)}
         5:{1,3,6}:{(0,1),(13,1),(15,1),(19,1),(43,1),(102,1)}
         6:{2,4,7}:{(1,1),(16,1),(17,1),(74,1),(101,1)}
         7:{2,3,6}:{(1,1),(13,1),(17,1),(39,1),(43,1),(103,1)}
         8:{3,5,7}:{(2,1),(14,1),(18,1),(19,1),(46,1)}
         9:{1,4,6}:{(2,1),(19,1),(20,1),(50,1)}
        10:{1,4,6,7}:{(9,1),(21,1),(22,1),(52,1)}
        11:{2,4,5,7}:{(6,1),(23,1),(24,1),(32,1),(54,1),(64,1),(80,1)}
        12:{1,2,4,7}:{(3,1),(4,1),(6,1),(25,1),(26,1),(27,1),(30,1),(57,1)}
        13:{1,2,6}:{(3,1),(5,1),(7,1),(33,1),(55,1),(104,1)}
        14:{3,4,7}:{(4,1),(8,1),(25,1),(27,1),(28,1),(52,1),(78,1)}
        15:{1,4,6}:{(4,1),(5,1),(28,1),(29,1),(87,1),(100,1)}
        16:{3,4,7}:{(6,1),(23,1),(25,1),(30,1),(31,1),(80,1),(96,1)}
        17:{2,4,6}:{(6,1),(7,1),(31,1),(32,1),(97,1),(99,1)}
        18:{2,5,7}:{(8,1),(27,1),(33,1),(61,1)}
        19:{3,6}:{(8,1),(9,1),(33,1)}
        20:{1,5,6}:{(9,1),(22,1),(29,1),(34,1),(87,1)}
        21:{3,6,7}:{(10,1),(19,1),(35,1),(36,1)}
        22:{1,5,7}:{(10,1),(20,1),(36,1),(88,1)}
        23:{3,5,7}:{(11,1),(16,1),(38,1),(39,1),(48,1)}
        24:{2,4,6}:{(11,1),(39,1),(40,1),(70,1)}
        25:{3,7}:{(12,1),(43,1)}
        26:{1,2,4,6}:{(12,1),(13,1),(15,1),(17,1),(43,1),(44,1),(45,1),(47,1),(71,1),(74,1),(91,1)}
        27:{2,4,7}:{(14,1),(18,1),(42,1),(45,1)}
        28:{3,4,6}:{(14,1),(15,1),(19,1),(43,1),(45,1),(46,1),(50,1),(74,1),(77,1),(93,1)}
        29:{1,5}:{(15,1),(46,1)}
        30:{1,4,7}:{(16,1),(38,1),(41,1),(47,1)}
        31:{3,4,6}:{(16,1),(17,1),(39,1),(43,1),(47,1),(48,1),(70,1),(74,1),(90,1),(92,1)}
        32:{2,5}:{(17,1),(48,1)}
        33:{2,6}:{(18,1),(19,1)}
        34:{3,5,6}:{(19,1),(20,1),(36,1),(46,1),(49,1),(50,1),(77,1)}
        35:{2,6,7}:{(21,1),(33,1),(51,1)}
        36:{3,5,7}:{(21,1),(22,1),(34,1),(51,1),(52,1),(78,1)}
        37:{2,4,6,7}:{(24,1),(53,1),(54,1),(80,1)}
        38:{1,5,7}:{(23,1),(30,1),(55,1),(63,1)}
        39:{3,6}:{(23,1),(24,1),(55,1)}
        40:{2,5,6}:{(24,1),(32,1),(54,1),(56,1),(97,1)}
        41:{1,3,7}:{(25,1),(30,1),(57,1),(58,1),(96,1)}
        42:{2,3,7}:{(25,1),(27,1),(57,1),(59,1),(78,1)}
        43:{3,6}:{(25,1),(26,1),(60,1),(98,1)}
        44:{1,2,5}:{(26,1),(29,1),(32,1),(60,1),(61,1),(63,1)}
        45:{2,4,6}:{(27,1),(28,1),(33,1),(59,1),(61,1),(84,1)}
        46:{3,5}:{(28,1),(29,1),(61,1),(62,1)}
        47:{1,4,6}:{(30,1),(31,1),(55,1),(58,1),(63,1),(83,1)}
        48:{3,5}:{(31,1),(32,1),(63,1),(64,1)}
        49:{2,5,6}:{(33,1),(34,1),(51,1),(61,1),(65,1)}
        50:{4,6}:{(34,1),(52,1),(62,1)}
        51:{2,5,7}:{(35,1),(36,1),(49,1),(66,1)}
        52:{4,7}:{(36,1),(50,1)}
        53:{3,6,7}:{(37,1),(39,1),(67,1),(68,1)}
        54:{2,5,7}:{(37,1),(40,1),(68,1),(101,1)}
        55:{1,6}:{(38,1),(39,1)}
        56:{3,5,6}:{(39,1),(40,1),(48,1),(68,1),(69,1),(70,1),(90,1)}
        57:{1,2,7}:{(41,1),(42,1),(71,1),(88,1),(101,1)}
        58:{1,3,6}:{(41,1),(43,1),(47,1),(71,1),(72,1),(90,1)}
        59:{2,3,6}:{(42,1),(43,1),(45,1),(71,1),(73,1),(77,1)}
        60:{3,5}:{(43,1),(44,1),(74,1)}
        61:{2,5}:{(45,1),(46,1)}
        62:{4,5}:{(46,1),(50,1),(74,1)}
        63:{1,5}:{(47,1),(48,1)}
        64:{4,5}:{(48,1),(70,1),(74,1)}
        65:{2,4,6}:{(49,1),(50,1),(66,1),(75,1),(77,1)}
        66:{2,4,7}:{(51,1),(52,1),(65,1),(78,1)}
        67:{1,6,7}:{(53,1),(55,1),(79,1)}
        68:{3,5,7}:{(53,1),(54,1),(56,1),(79,1),(80,1),(96,1)}
        69:{1,5,6}:{(55,1),(56,1),(63,1),(79,1),(81,1)}
        70:{4,6}:{(56,1),(64,1),(80,1)}
        71:{1,2,6}:{(57,1),(58,1),(59,1),(82,1),(87,1),(97,1)}
        72:{1,3,5}:{(58,1),(60,1),(63,1),(82,1),(83,1),(86,1),(98,1)}
        73:{2,3,5}:{(59,1),(60,1),(61,1),(82,1),(84,1),(85,1),(98,1)}
        74:{4}:{(60,1)}
        75:{2,4,5}:{(61,1),(62,1),(65,1),(84,1),(85,1)}
        76:{1,4,5}:{(63,1),(64,1),(81,1),(83,1),(86,1)}
        77:{3,6}:{(65,1),(78,1),(85,1),(87,1)}
        78:{3,7}:{(66,1),(77,1),(88,1)}
        79:{1,5,7}:{(67,1),(68,1),(69,1),(89,1)}
        80:{4,7}:{(68,1),(70,1)}
        81:{1,4,6}:{(69,1),(70,1),(76,1),(89,1),(90,1)}
        82:{1,2,5}:{(71,1),(72,1),(73,1),(91,1),(94,1),(95,1)}
        83:{1,4}:{(72,1),(74,1),(92,1)}
        84:{2,4}:{(73,1),(74,1),(93,1)}
        85:{3,5}:{(75,1),(77,1),(93,1),(94,1)}
        86:{3,5}:{(76,1),(90,1),(92,1),(95,1)}
        87:{1,6}:{(77,1),(88,1),(94,1)}
        88:{1,7}:{(78,1),(87,1)}
        89:{1,4,7}:{(79,1),(80,1),(81,1),(96,1)}
        90:{3,6}:{(81,1),(86,1),(96,1),(97,1)}
        91:{1,2,4}:{(82,1),(83,1),(84,1),(98,1),(99,1),(100,1),(104,1)}
        92:{3,4}:{(83,1),(86,1),(98,1),(99,1)}
        93:{3,4}:{(84,1),(85,1),(98,1),(100,1)}
        94:{1,5}:{(85,1),(87,1),(100,1)}
        95:{2,5}:{(86,1),(97,1),(99,1)}
        96:{3,7}:{(89,1),(90,1),(101,1)}
        97:{2,6}:{(90,1),(95,1),(101,1)}
        98:{3}:{(91,1)}
        99:{2,4}:{(92,1),(95,1),(103,1)}
       100:{1,4}:{(93,1),(94,1),(102,1)}
       101:{2,7}:{(96,1),(97,1)}
       102:{1,3}:{(98,1),(100,1),(104,1)}
       103:{2,3}:{(98,1),(99,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

 854 :   0:{1,2,3}:{(4,1)}
         1:{1,3,4}:{(4,1),(5,1),(18,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(8,1),(9,1),(14,1),(30,1),(33,1),(34,1)}
         3:{3,4,5}:{(10,1),(11,1),(12,1),(33,1),(66,1)}
         4:{1,2,4}:{(0,1),(1,1),(13,1),(14,1)}
         5:{1,3,5}:{(1,1),(11,1),(14,1),(15,1),(33,1)}
         6:{1,2,3}:{(16,1)}
         7:{2,3,4}:{(16,1),(17,1),(18,1)}
         8:{1,2,3,6}:{(2,1),(19,1),(20,1),(27,1),(47,1),(52,1)}
         9:{1,2,4}:{(2,1),(18,1)}
        10:{2,4,5}:{(3,1),(17,1),(22,1)}
        11:{1,4,5}:{(3,1),(5,1),(23,1)}
        12:{3,4,6}:{(3,1),(22,1),(23,1),(24,1),(25,1),(52,1),(81,1)}
        13:{2,3,4}:{(4,1),(18,1),(26,1)}
        14:{1,2,5}:{(4,1),(5,1),(26,1),(27,1)}
        15:{1,3,6}:{(5,1),(23,1),(27,1),(28,1),(52,1)}
        16:{1,2,4}:{(6,1),(7,1),(29,1),(30,1)}
        17:{2,3,5}:{(7,1),(10,1),(30,1),(31,1),(33,1)}
        18:{3,4}:{(9,1),(33,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(32,1),(34,1),(35,1),(71,1)}
        20:{1,2,3,7}:{(8,1),(35,1),(45,1),(64,1),(69,1)}
        21:{1,2,4,5}:{(9,1),(10,1),(11,1),(14,1),(30,1),(33,1),(34,1),(36,1),(43,1),(62,1),(66,1)}
        22:{2,4,6}:{(10,1),(12,1),(31,1),(37,1),(38,1)}
        23:{1,4,6}:{(11,1),(12,1),(15,1),(39,1),(40,1)}
        24:{3,5,6}:{(12,1),(37,1),(39,1),(41,1),(42,1)}
        25:{3,4,7}:{(12,1),(38,1),(40,1),(42,1),(69,1),(92,1)}
        26:{2,3,5}:{(13,1),(14,1),(33,1),(43,1),(44,1)}
        27:{1,2,6}:{(14,1),(15,1),(44,1),(45,1)}
        28:{1,3,7}:{(15,1),(40,1),(45,1),(69,1)}
        29:{1,3,4}:{(16,1),(18,1),(46,1)}
        30:{1,2,5}:{(16,1),(17,1),(46,1),(47,1)}
        31:{2,3,6}:{(17,1),(22,1),(47,1),(48,1),(52,1)}
        32:{3,4,6}:{(18,1),(19,1),(50,1),(51,1),(52,1),(81,1),(84,1)}
        33:{3,5}:{(18,1),(21,1),(52,1)}
        34:{1,2,5}:{(19,1),(50,1)}
        35:{1,2,4,7}:{(19,1),(20,1),(51,1),(54,1)}
        36:{1,2,4,6}:{(21,1),(22,1),(23,1),(27,1),(47,1),(52,1),(53,1),(55,1),(60,1),(77,1),(81,1)}
        37:{2,5,6}:{(22,1),(24,1),(56,1)}
        38:{2,4,7}:{(22,1),(25,1),(48,1),(56,1)}
        39:{1,5,6}:{(23,1),(24,1),(57,1)}
        40:{1,4,7}:{(23,1),(25,1),(28,1),(57,1)}
        41:{4,5,6}:{(24,1),(58,1),(81,1),(100,1)}
        42:{3,5,7}:{(24,1),(25,1),(56,1),(57,1),(58,1),(59,1)}
        43:{2,4,5}:{(26,1),(49,1),(60,1)}
        44:{2,3,6}:{(26,1),(27,1),(52,1),(60,1),(61,1)}
        45:{1,2,7}:{(27,1),(28,1),(61,1)}
        46:{1,3,5}:{(29,1),(30,1),(33,1),(62,1),(63,1)}
        47:{1,2,6}:{(30,1),(31,1),(63,1),(64,1)}
        48:{2,3,7}:{(31,1),(38,1),(64,1),(69,1)}
        49:{3,4,5}:{(33,1),(43,1),(62,1),(65,1),(66,1)}
        50:{3,5}:{(32,1),(34,1),(66,1)}
        51:{3,4,7}:{(32,1),(35,1),(68,1),(69,1),(92,1)}
        52:{3,6}:{(33,1),(36,1),(69,1)}
        53:{1,2,5,6}:{(34,1),(36,1),(37,1),(39,1),(67,1),(70,1),(71,1),(75,1),(88,1)}
        54:{1,2,5,7}:{(34,1),(35,1),(68,1),(71,1)}
        55:{1,2,4,7}:{(36,1),(38,1),(40,1),(45,1),(64,1),(69,1),(70,1),(76,1),(89,1),(92,1)}
        56:{2,5,7}:{(37,1),(38,1),(42,1),(72,1)}
        57:{1,5,7}:{(39,1),(40,1),(42,1),(73,1)}
        58:{4,5,7}:{(41,1),(42,1),(74,1),(92,1),(103,1)}
        59:{3,6,7}:{(42,1),(72,1),(73,1),(74,1)}
        60:{2,4,6}:{(43,1),(44,1),(65,1),(75,1),(76,1)}
        61:{2,3,7}:{(44,1),(45,1),(69,1),(76,1)}
        62:{1,4,5}:{(46,1),(49,1),(77,1)}
        63:{1,3,6}:{(46,1),(47,1),(52,1),(77,1),(78,1)}
        64:{1,2,7}:{(47,1),(48,1),(78,1)}
        65:{3,4,6}:{(49,1),(52,1),(60,1),(77,1),(79,1),(80,1),(81,1)}
        66:{4,5}:{(50,1),(81,1)}
        67:{3,5,6}:{(50,1),(52,1),(53,1),(81,1),(83,1),(84,1),(100,1)}
        68:{3,5,7}:{(50,1),(51,1),(54,1),(82,1),(84,1)}
        69:{3,7}:{(52,1),(55,1)}
        70:{1,2,5,7}:{(53,1),(55,1),(56,1),(57,1),(83,1),(85,1),(87,1),(96,1)}
        71:{1,2,6}:{(54,1),(84,1)}
        72:{2,6,7}:{(56,1),(59,1)}
        73:{1,6,7}:{(57,1),(59,1)}
        74:{4,6,7}:{(58,1),(59,1),(86,1)}
        75:{2,5,6}:{(60,1),(79,1),(87,1)}
        76:{2,4,7}:{(60,1),(61,1),(80,1),(87,1)}
        77:{1,4,6}:{(62,1),(63,1),(65,1),(88,1),(89,1)}
        78:{1,3,7}:{(63,1),(64,1),(69,1),(89,1)}
        79:{3,5,6}:{(65,1),(75,1),(88,1),(90,1),(91,1)}
        80:{3,4,7}:{(65,1),(69,1),(76,1),(89,1),(91,1),(92,1)}
        81:{4,6}:{(66,1),(67,1),(92,1)}
        82:{4,5,7}:{(66,1),(68,1),(92,1),(93,1),(103,1)}
        83:{3,5,7}:{(67,1),(69,1),(70,1),(92,1),(94,1),(103,1)}
        84:{3,6}:{(68,1),(71,1),(93,1)}
        85:{1,2,6,7}:{(70,1),(71,1),(72,1),(73,1),(94,1),(95,1),(101,1)}
        86:{5,6,7}:{(74,1),(103,1)}
        87:{2,5,7}:{(75,1),(76,1),(91,1),(95,1)}
        88:{1,5,6}:{(77,1),(79,1),(96,1)}
        89:{1,4,7}:{(77,1),(78,1),(80,1),(96,1)}
        90:{4,5,6}:{(79,1),(81,1),(97,1),(100,1)}
        91:{3,5,7}:{(79,1),(80,1),(87,1),(96,1),(97,1),(98,1)}
        92:{4,7}:{(81,1),(83,1)}
        93:{4,6}:{(82,1),(84,1),(100,1)}
        94:{3,6,7}:{(83,1),(84,1),(85,1),(99,1)}
        95:{2,6,7}:{(87,1),(98,1)}
        96:{1,5,7}:{(88,1),(89,1),(91,1),(101,1)}
        97:{4,5,7}:{(90,1),(91,1),(92,1),(102,1),(103,1)}
        98:{3,6,7}:{(91,1),(95,1),(101,1),(102,1)}
        99:{4,6,7}:{(92,1),(93,1),(94,1),(103,1)}
       100:{5,6}:{(93,1),(103,1)}
       101:{1,6,7}:{(96,1),(98,1)}
       102:{4,6,7}:{(97,1),(98,1),(104,1)}
       103:{5,7}:{(99,1),(100,1)}
       104:{5,6,7}:{(102,1),(103,1)}

 855 :   0:{2,3,4,6,7}:{(1,1),(2,1),(9,1),(25,1),(29,1),(31,1),(53,1),(59,1),(80,1),(86,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(38,1),(69,1),(96,1),(102,1)}
         2:{2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(75,1),(101,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(9,1),(27,1),(29,1)}
         4:{1,3,6,7}:{(1,1),(10,1),(29,1),(111,1),(115,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(114,1)}
         6:{2,4,5,7}:{(2,1),(9,1),(12,1),(80,1),(88,1)}
         7:{2,3,5,6,7}:{(3,1),(13,1),(14,1),(35,1),(37,1),(64,1),(123,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(40,1),(75,1)}
         9:{2,4,6}:{(3,1),(6,1),(18,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(125,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(46,1),(47,1),(75,1),(96,1),(103,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(49,1),(81,1),(84,1),(112,1)}
        14:{2,4,6,7}:{(7,1),(9,1),(22,1),(25,1),(80,1),(131,1)}
        15:{2,4,5,6}:{(9,1),(22,1),(27,1)}
        16:{1,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(59,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(27,1),(29,1),(30,1)}
        19:{1,4,7}:{(10,1),(28,1),(31,1),(132,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(111,1),(116,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(32,1),(49,1),(79,1),(87,1)}
        22:{2,4,5,7}:{(14,1),(15,1),(35,1),(136,1)}
        23:{1,3,5,6,7}:{(13,1),(16,1),(36,1),(37,1),(63,1),(66,1),(97,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(36,1),(37,1),(38,1),(68,1),(69,1),(96,1),(121,1)}
        25:{3,4,6,7}:{(14,1),(18,1),(35,1),(37,1),(38,1),(62,1),(135,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(39,1),(40,1),(41,1),(65,1),(71,1),(72,1),(73,1),(75,1),(98,1),(103,1),(121,1),(136,1),(139,1)}
        27:{3,5,6}:{(15,1),(18,1),(35,1),(40,1)}
        28:{1,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{1,4,6}:{(18,1),(21,1),(40,1),(43,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(46,1),(126,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(47,1),(74,1)}
        33:{2,3,5,7}:{(20,1),(44,1),(46,1),(47,1),(75,1),(77,1),(105,1)}
        34:{1,2,4,5,7}:{(22,1),(24,1),(26,1),(48,1),(49,1),(50,1),(79,1),(80,1),(81,1),(84,1)}
        35:{3,5,7}:{(22,1),(25,1),(27,1),(49,1),(138,1)}
        36:{1,4,6,7}:{(23,1),(28,1),(50,1),(51,1),(79,1),(108,1)}
        37:{3,6,7}:{(24,1),(29,1),(48,1),(111,1),(129,1)}
        38:{1,4,6,7}:{(25,1),(30,1),(49,1),(52,1),(79,1),(137,1)}
        39:{3,5,6}:{(26,1),(29,1),(48,1),(54,1),(57,1),(116,1),(129,1),(138,1)}
        40:{1,5,6}:{(27,1),(30,1),(49,1)}
        41:{1,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(59,1)}
        43:{1,3,6}:{(29,1),(30,1),(32,1),(60,1)}
        44:{2,3,6}:{(29,1),(33,1),(59,1),(60,1)}
        45:{1,3,4,7}:{(31,1),(32,1),(58,1),(61,1),(79,1),(111,1)}
        46:{2,4,7}:{(31,1),(33,1),(59,1),(117,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(37,1),(39,1),(62,1)}
        49:{1,5,7}:{(35,1),(38,1),(40,1),(139,1)}
        50:{1,4,5,7}:{(36,1),(41,1),(65,1),(66,1)}
        51:{3,4,6,7}:{(36,1),(37,1),(42,1),(62,1),(66,1),(68,1),(93,1)}
        52:{1,3,6,7}:{(37,1),(38,1),(43,1),(63,1),(69,1),(133,1)}
        53:{2,3,6,7}:{(37,1),(44,1),(64,1),(68,1),(69,1),(118,1)}
        54:{3,4,6}:{(39,1),(62,1),(70,1),(71,1),(72,1),(104,1),(126,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(63,1),(71,1),(73,1),(74,1),(104,1),(125,1),(133,1),(139,1)}
        56:{2,3,5,6}:{(39,1),(44,1),(64,1),(72,1),(73,1),(75,1),(98,1),(101,1),(104,1),(105,1),(118,1)}
        57:{3,5}:{(41,1),(42,1),(75,1)}
        58:{1,3,4,6}:{(42,1),(43,1),(45,1),(71,1),(74,1),(76,1),(104,1),(126,1)}
        59:{2,4,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(54,1),(79,1),(80,1),(111,1)}
        63:{1,3,5,7}:{(48,1),(49,1),(52,1),(55,1),(79,1),(81,1),(111,1)}
        64:{2,3,5,7}:{(48,1),(53,1),(56,1),(80,1),(81,1),(84,1),(111,1)}
        65:{1,4,5,6}:{(50,1),(82,1),(108,1)}
        66:{3,5,7}:{(50,1),(51,1),(57,1),(82,1),(84,1)}
        67:{1,3,4,6,7}:{(51,1),(52,1),(58,1),(79,1),(83,1),(85,1),(108,1),(111,1),(129,1),(130,1),(137,1)}
        68:{2,4,6,7}:{(51,1),(53,1),(59,1),(80,1),(84,1),(109,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(60,1),(81,1),(127,1)}
        70:{3,4,5}:{(54,1),(57,1),(87,1),(88,1),(116,1),(138,1)}
        71:{1,4,6}:{(54,1),(55,1),(79,1),(87,1),(132,1)}
        72:{2,4,6}:{(54,1),(56,1),(80,1),(88,1),(117,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(60,1),(81,1),(89,1),(90,1),(114,1),(127,1)}
        74:{1,3,5}:{(57,1),(58,1),(87,1),(90,1),(116,1)}
        75:{2,5}:{(57,1),(59,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{2,3,7}:{(61,1),(91,1),(111,1)}
        78:{3,4,5,7}:{(62,1),(66,1),(70,1),(93,1),(94,1),(95,1),(122,1)}
        79:{1,4,7}:{(62,1),(63,1),(71,1)}
        80:{2,4,7}:{(62,1),(64,1),(72,1)}
        81:{1,2,5,7}:{(63,1),(64,1),(69,1),(73,1),(96,1)}
        82:{3,5,6}:{(65,1),(66,1),(93,1),(98,1)}
        83:{1,3,5,7}:{(66,1),(67,1),(74,1),(94,1),(97,1),(99,1),(122,1),(139,1)}
        84:{2,5,7}:{(66,1),(68,1),(75,1),(98,1)}
        85:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(96,1),(99,1),(100,1),(121,1),(124,1)}
        86:{2,3,4,6}:{(72,1),(92,1),(101,1),(102,1),(104,1),(118,1),(126,1),(135,1)}
        87:{1,4,5}:{(70,1),(71,1),(74,1),(139,1)}
        88:{2,4,5}:{(70,1),(72,1),(75,1),(101,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(73,1),(96,1),(103,1),(104,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{2,3,6}:{(76,1),(77,1),(104,1),(105,1)}
        92:{2,3,4,7}:{(80,1),(86,1),(106,1),(107,1),(111,1),(130,1)}
        93:{3,4,6}:{(78,1),(82,1),(108,1),(109,1),(129,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(108,1)}
        95:{2,4,5,7}:{(78,1),(80,1),(84,1),(88,1),(106,1),(109,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(89,1),(111,1)}
        97:{1,3,5,6}:{(82,1),(83,1),(108,1),(112,1),(129,1)}
        98:{2,5,6}:{(82,1),(84,1),(109,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(85,1),(90,1),(112,1),(113,1)}
       100:{2,3,6,7}:{(85,1),(91,1),(111,1),(113,1),(129,1)}
       101:{2,3,5}:{(86,1),(88,1),(114,1),(116,1),(138,1)}
       102:{1,2,4,6}:{(86,1),(107,1),(114,1),(115,1),(127,1),(132,1),(137,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(89,1),(90,1),(114,1),(116,1),(117,1),(132,1)}
       104:{3,6}:{(89,1),(111,1),(116,1)}
       105:{2,3,5}:{(90,1),(91,1),(116,1),(117,1)}
       106:{2,3,5,7}:{(92,1),(95,1),(101,1),(118,1),(119,1),(122,1)}
       107:{1,2,4,7}:{(92,1),(102,1),(119,1),(120,1),(134,1)}
       108:{1,4,6}:{(93,1),(94,1),(97,1)}
       109:{2,4,6}:{(93,1),(95,1),(98,1),(118,1)}
       110:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(103,1),(119,1),(121,1),(122,1),(124,1),(134,1),(136,1),(139,1)}
       111:{3,7}:{(96,1),(104,1)}
       112:{1,2,5,6}:{(97,1),(98,1),(99,1),(121,1),(123,1),(139,1)}
       113:{2,3,5,7}:{(99,1),(100,1),(105,1),(122,1),(123,1),(124,1)}
       114:{1,2,5}:{(101,1),(102,1),(125,1),(139,1)}
       115:{1,3,6}:{(102,1),(104,1),(120,1),(125,1)}
       116:{3,5}:{(103,1),(104,1),(126,1)}
       117:{2,4}:{(105,1),(126,1)}
       118:{2,3,6}:{(106,1),(109,1),(127,1),(129,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(114,1),(127,1),(128,1)}
       120:{1,3,7}:{(107,1),(111,1),(115,1)}
       121:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1),(131,1),(137,1)}
       122:{3,5,7}:{(110,1),(111,1),(116,1),(129,1),(130,1),(138,1)}
       123:{2,3,5,6}:{(112,1),(113,1),(129,1),(131,1),(138,1)}
       124:{2,4,7}:{(113,1),(117,1),(130,1),(131,1)}
       125:{1,3,5}:{(114,1),(115,1),(116,1),(132,1)}
       126:{3,4}:{(116,1),(117,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{1,3,5,7}:{(119,1),(120,1),(122,1),(125,1),(133,1),(134,1),(139,1)}
       129:{3,6}:{(121,1),(122,1)}
       130:{3,4,7}:{(122,1),(124,1),(126,1),(134,1),(135,1)}
       131:{2,4,6}:{(123,1),(124,1),(135,1),(136,1)}
       132:{1,4}:{(125,1),(126,1)}
       133:{1,3,6}:{(127,1),(128,1),(129,1),(137,1)}
       134:{1,4,7}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,4,6}:{(129,1),(130,1),(131,1),(137,1),(138,1)}
       136:{2,4,5}:{(131,1),(138,1)}
       137:{1,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

 856 :   0:{2,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(18,1),(43,1),(116,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(21,1),(32,1),(50,1),(55,1),(60,1),(86,1),(89,1),(100,1)}
         2:{1,2,5,6,7}:{(0,1),(7,1),(8,1),(20,1),(28,1),(61,1),(64,1),(101,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(9,1),(21,1),(60,1),(127,1)}
         4:{1,2,4,6,7}:{(1,1),(12,1),(13,1),(19,1),(34,1),(38,1),(48,1),(81,1),(104,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(39,1),(103,1),(106,1)}
         6:{2,4,5,7}:{(3,1),(11,1),(16,1),(134,1)}
         7:{1,3,5,6,7}:{(2,1),(17,1),(18,1),(33,1),(42,1),(45,1),(82,1)}
         8:{1,2,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(18,1),(19,1),(34,1),(47,1),(48,1),(81,1),(114,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(18,1),(19,1),(35,1),(41,1),(133,1)}
        10:{2,3,5,6}:{(5,1),(20,1),(21,1),(23,1),(50,1)}
        11:{2,4,5,6}:{(6,1),(21,1),(23,1)}
        12:{1,3,6,7}:{(4,1),(24,1),(50,1),(100,1),(119,1)}
        13:{1,2,5,7}:{(4,1),(5,1),(20,1),(24,1),(28,1),(118,1)}
        14:{2,4,5,7}:{(5,1),(21,1),(26,1),(60,1),(92,1)}
        15:{1,2,4,5,7}:{(6,1),(8,1),(22,1),(27,1),(28,1),(29,1),(59,1),(60,1),(61,1),(64,1)}
        16:{3,5,7}:{(6,1),(9,1),(23,1),(28,1),(138,1)}
        17:{1,4,6,7}:{(7,1),(29,1),(30,1),(49,1),(59,1),(97,1)}
        18:{3,6,7}:{(8,1),(27,1),(50,1),(100,1),(125,1)}
        19:{1,4,6,7}:{(9,1),(28,1),(31,1),(51,1),(59,1),(137,1)}
        20:{1,2,5,6}:{(10,1),(13,1),(33,1),(34,1),(37,1),(106,1)}
        21:{2,4,6}:{(10,1),(14,1),(35,1)}
        22:{1,2,4,5,6}:{(11,1),(15,1),(34,1),(36,1),(37,1),(44,1),(66,1),(71,1),(72,1),(73,1),(83,1),(106,1),(108,1),(114,1),(134,1),(139,1)}
        23:{3,5,6}:{(11,1),(16,1),(35,1),(37,1)}
        24:{1,3,5,7}:{(12,1),(13,1),(33,1),(38,1),(39,1),(128,1)}
        25:{1,2,4,5,7}:{(13,1),(14,1),(34,1),(38,1),(39,1),(40,1),(66,1),(76,1),(77,1),(81,1),(106,1),(108,1)}
        26:{3,4,5,7}:{(14,1),(16,1),(35,1),(39,1),(40,1),(41,1),(70,1)}
        27:{3,5,7}:{(15,1),(18,1),(36,1),(41,1)}
        28:{1,5,7}:{(16,1),(19,1),(37,1),(139,1)}
        29:{1,4,5,7}:{(17,1),(44,1),(45,1),(66,1)}
        30:{3,4,6,7}:{(17,1),(18,1),(41,1),(45,1),(47,1),(67,1),(78,1)}
        31:{1,3,6,7}:{(18,1),(19,1),(42,1),(48,1),(68,1),(131,1)}
        32:{2,3,6,7}:{(18,1),(43,1),(47,1),(48,1),(69,1),(110,1)}
        33:{1,3,5,6}:{(20,1),(24,1),(49,1),(50,1),(87,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(25,1),(49,1),(50,1),(51,1),(89,1),(90,1)}
        35:{3,4,6}:{(21,1),(23,1),(26,1),(50,1),(51,1)}
        36:{3,5,6}:{(22,1),(27,1),(50,1),(52,1),(87,1),(122,1),(125,1),(138,1)}
        37:{1,5,6}:{(23,1),(28,1),(51,1)}
        38:{1,4,7}:{(24,1),(49,1),(55,1),(135,1)}
        39:{3,5,7}:{(25,1),(50,1),(55,1),(87,1),(100,1),(122,1)}
        40:{1,4,5,7}:{(26,1),(28,1),(51,1),(56,1),(59,1),(91,1)}
        41:{3,4,7}:{(27,1),(52,1),(59,1),(60,1),(100,1)}
        42:{1,3,5,7}:{(27,1),(28,1),(31,1),(53,1),(59,1),(61,1),(100,1)}
        43:{2,3,5,7}:{(27,1),(32,1),(54,1),(60,1),(61,1),(64,1),(100,1)}
        44:{1,4,5,6}:{(29,1),(62,1),(97,1)}
        45:{3,5,7}:{(29,1),(30,1),(62,1),(64,1),(87,1)}
        46:{1,3,4,6,7}:{(30,1),(31,1),(59,1),(63,1),(65,1),(88,1),(97,1),(100,1),(125,1),(126,1),(137,1)}
        47:{2,4,6,7}:{(30,1),(32,1),(60,1),(64,1),(89,1),(98,1)}
        48:{1,2,6,7}:{(31,1),(32,1),(61,1),(90,1),(123,1)}
        49:{1,4,6}:{(33,1),(38,1),(66,1),(67,1)}
        50:{3,6}:{(34,1),(39,1)}
        51:{1,4,6}:{(35,1),(37,1),(40,1),(68,1)}
        52:{3,4,6}:{(36,1),(41,1),(70,1),(71,1),(72,1),(109,1),(130,1)}
        53:{1,3,5,6}:{(36,1),(37,1),(42,1),(68,1),(71,1),(73,1),(105,1),(109,1),(128,1),(131,1),(139,1)}
        54:{2,3,5,6}:{(36,1),(43,1),(69,1),(72,1),(73,1),(83,1),(103,1),(106,1),(109,1),(110,1),(129,1)}
        55:{3,4,7}:{(38,1),(39,1),(67,1),(76,1),(130,1)}
        56:{1,3,5,7}:{(39,1),(40,1),(68,1),(75,1),(77,1),(105,1)}
        57:{2,3,5,7}:{(39,1),(69,1),(76,1),(77,1),(106,1),(113,1),(129,1)}
        58:{3,4,5,7}:{(41,1),(45,1),(70,1),(78,1),(79,1),(80,1),(115,1)}
        59:{1,4,7}:{(41,1),(42,1),(71,1)}
        60:{2,4,7}:{(41,1),(43,1),(72,1)}
        61:{1,2,5,7}:{(42,1),(43,1),(48,1),(73,1),(81,1)}
        62:{3,5,6}:{(44,1),(45,1),(78,1),(83,1)}
        63:{1,3,5,7}:{(45,1),(46,1),(79,1),(82,1),(84,1),(105,1),(115,1),(139,1)}
        64:{2,5,7}:{(45,1),(47,1),(83,1),(106,1)}
        65:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(81,1),(84,1),(85,1),(107,1),(114,1),(117,1)}
        66:{1,4,5}:{(49,1),(87,1)}
        67:{3,4,6}:{(49,1),(50,1),(55,1),(87,1),(89,1)}
        68:{1,3,6}:{(50,1),(51,1),(56,1),(90,1)}
        69:{2,3,6}:{(50,1),(57,1),(89,1),(90,1)}
        70:{3,4,5}:{(52,1),(87,1),(91,1),(92,1),(122,1),(138,1)}
        71:{1,4,6}:{(52,1),(53,1),(59,1),(91,1),(135,1)}
        72:{2,4,6}:{(52,1),(54,1),(60,1),(92,1),(136,1)}
        73:{1,2,5,6}:{(53,1),(54,1),(61,1),(90,1),(93,1),(118,1),(120,1),(123,1)}
        74:{2,3,4,7}:{(60,1),(86,1),(94,1),(95,1),(100,1),(126,1)}
        75:{1,3,4,7}:{(55,1),(56,1),(59,1),(88,1),(96,1),(100,1)}
        76:{2,4,7}:{(55,1),(57,1),(89,1),(136,1)}
        77:{1,2,5,7}:{(56,1),(57,1),(90,1),(96,1),(120,1)}
        78:{3,4,6}:{(58,1),(62,1),(97,1),(98,1),(125,1)}
        79:{1,4,5,7}:{(58,1),(59,1),(63,1),(91,1),(97,1)}
        80:{2,4,5,7}:{(58,1),(60,1),(64,1),(92,1),(94,1),(98,1)}
        81:{1,2,4,7}:{(59,1),(60,1),(61,1),(93,1),(100,1)}
        82:{1,3,5,6}:{(62,1),(63,1),(97,1),(101,1),(125,1)}
        83:{2,5,6}:{(62,1),(64,1),(98,1)}
        84:{1,2,5,7}:{(63,1),(64,1),(65,1),(101,1),(102,1),(120,1)}
        85:{2,3,6,7}:{(65,1),(100,1),(102,1),(121,1),(125,1)}
        86:{2,3,4,6}:{(72,1),(74,1),(103,1),(104,1),(109,1),(110,1),(130,1),(133,1)}
        87:{3,5}:{(66,1),(67,1),(106,1)}
        88:{1,3,4,6}:{(67,1),(68,1),(71,1),(75,1),(105,1),(107,1),(109,1),(130,1)}
        89:{2,4,6}:{(67,1),(69,1),(76,1),(106,1)}
        90:{1,2,6}:{(68,1),(69,1),(77,1)}
        91:{1,4,5}:{(70,1),(71,1),(105,1),(139,1)}
        92:{2,4,5}:{(70,1),(72,1),(103,1),(106,1)}
        93:{1,2,4,6}:{(71,1),(72,1),(73,1),(81,1),(108,1),(109,1)}
        94:{2,3,5,7}:{(74,1),(80,1),(103,1),(110,1),(111,1),(115,1)}
        95:{1,2,4,7}:{(74,1),(104,1),(111,1),(112,1),(132,1)}
        96:{1,2,4,7}:{(75,1),(76,1),(77,1),(107,1),(113,1)}
        97:{1,4,6}:{(78,1),(79,1),(82,1)}
        98:{2,4,6}:{(78,1),(80,1),(83,1),(110,1)}
        99:{1,2,4,5,7}:{(79,1),(80,1),(81,1),(84,1),(108,1),(111,1),(114,1),(115,1),(117,1),(132,1),(134,1),(139,1)}
       100:{3,7}:{(81,1),(109,1)}
       101:{1,2,5,6}:{(82,1),(83,1),(84,1),(114,1),(116,1),(139,1)}
       102:{2,3,5,7}:{(84,1),(85,1),(115,1),(116,1),(117,1),(129,1)}
       103:{2,3,5}:{(86,1),(92,1),(118,1),(122,1),(138,1)}
       104:{1,2,4,6}:{(86,1),(95,1),(118,1),(119,1),(123,1),(135,1),(137,1)}
       105:{1,3,5}:{(87,1),(88,1),(91,1),(120,1),(122,1)}
       106:{2,5}:{(87,1),(89,1)}
       107:{1,2,4,6}:{(88,1),(89,1),(90,1),(96,1),(120,1),(121,1),(136,1)}
       108:{1,2,4,5}:{(91,1),(92,1),(93,1),(118,1),(120,1),(122,1),(135,1),(136,1)}
       109:{3,6}:{(93,1),(100,1),(122,1)}
       110:{2,3,6}:{(94,1),(98,1),(123,1),(125,1)}
       111:{1,2,5,7}:{(94,1),(95,1),(118,1),(123,1),(124,1)}
       112:{1,3,7}:{(95,1),(100,1),(119,1)}
       113:{2,3,7}:{(96,1),(100,1),(121,1)}
       114:{1,2,4,6}:{(97,1),(98,1),(99,1),(101,1),(123,1),(125,1),(127,1),(137,1)}
       115:{3,5,7}:{(99,1),(100,1),(122,1),(125,1),(126,1),(138,1)}
       116:{2,3,5,6}:{(101,1),(102,1),(125,1),(127,1),(138,1)}
       117:{2,4,7}:{(102,1),(126,1),(127,1),(136,1)}
       118:{1,2,5}:{(103,1),(104,1),(128,1),(139,1)}
       119:{1,3,6}:{(104,1),(109,1),(112,1),(128,1)}
       120:{1,2,5}:{(105,1),(106,1),(107,1),(129,1)}
       121:{2,3,6}:{(107,1),(109,1),(113,1),(129,1)}
       122:{3,5}:{(108,1),(109,1),(130,1)}
       123:{1,2,6}:{(110,1),(111,1),(131,1)}
       124:{1,3,5,7}:{(111,1),(112,1),(115,1),(128,1),(131,1),(132,1),(139,1)}
       125:{3,6}:{(114,1),(115,1)}
       126:{3,4,7}:{(115,1),(117,1),(130,1),(132,1),(133,1)}
       127:{2,4,6}:{(116,1),(117,1),(133,1),(134,1)}
       128:{1,3,5}:{(118,1),(119,1),(122,1),(135,1)}
       129:{2,3,5}:{(120,1),(121,1),(122,1),(136,1)}
       130:{3,4}:{(122,1),(135,1),(136,1)}
       131:{1,3,6}:{(123,1),(124,1),(125,1),(137,1)}
       132:{1,4,7}:{(124,1),(126,1),(135,1),(137,1)}
       133:{3,4,6}:{(125,1),(126,1),(127,1),(137,1),(138,1)}
       134:{2,4,5}:{(127,1),(138,1)}
       135:{1,4}:{(128,1),(130,1)}
       136:{2,4}:{(129,1),(130,1)}
       137:{1,4,6}:{(131,1),(132,1),(133,1),(139,1)}
       138:{3,5}:{(133,1),(134,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

 857 :  0:{1,3,4}:{(2,1),(3,1),(47,1)}
        1:{3,4,5}:{(6,1),(7,1),(8,1),(33,1),(71,1)}
        2:{1,3,5}:{(0,1),(7,1),(9,1),(10,1),(33,1)}
        3:{1,2,4}:{(0,1),(10,1),(11,1),(36,1)}
        4:{2,3,4}:{(12,1),(13,1),(47,1)}
        5:{4,5,6}:{(14,1),(15,1),(63,1),(83,1)}
        6:{3,4,6}:{(1,1),(14,1),(16,1),(17,1),(18,1),(45,1),(63,1)}
        7:{1,4,5}:{(1,1),(2,1),(16,1)}
        8:{2,4,5}:{(1,1),(12,1),(17,1)}
        9:{1,3,6}:{(2,1),(16,1),(20,1),(21,1),(45,1)}
       10:{1,2,5}:{(2,1),(3,1),(20,1),(22,1)}
       11:{2,3}:{(3,1)}
       12:{2,3,5}:{(4,1),(8,1),(23,1),(24,1),(33,1)}
       13:{1,2,4}:{(4,1),(24,1),(25,1),(52,1)}
       14:{3,5,6}:{(5,1),(6,1),(26,1),(27,1),(28,1)}
       15:{4,5,7}:{(5,1),(28,1),(29,1),(72,1),(82,1)}
       16:{1,4,6}:{(6,1),(7,1),(9,1),(26,1),(31,1)}
       17:{2,4,6}:{(6,1),(8,1),(23,1),(27,1),(32,1)}
       18:{3,4,7}:{(6,1),(28,1),(31,1),(32,1),(58,1),(72,1)}
       19:{1,2,4,5}:{(7,1),(8,1),(10,1),(24,1),(30,1),(33,1),(36,1),(52,1),(59,1),(69,1),(71,1)}
       20:{1,2,6}:{(9,1),(10,1),(34,1),(35,1)}
       21:{1,3,7}:{(9,1),(31,1),(35,1),(58,1)}
       22:{2,3,5}:{(10,1),(11,1),(33,1),(34,1),(36,1),(59,1)}
       23:{2,3,6}:{(12,1),(17,1),(37,1),(38,1),(45,1)}
       24:{1,2,5}:{(12,1),(13,1),(37,1),(39,1)}
       25:{1,3}:{(13,1)}
       26:{1,5,6}:{(14,1),(16,1),(41,1)}
       27:{2,5,6}:{(14,1),(17,1),(42,1)}
       28:{3,5,7}:{(14,1),(15,1),(18,1),(41,1),(42,1),(43,1)}
       29:{4,6,7}:{(15,1),(43,1),(44,1)}
       30:{1,2,4,6}:{(16,1),(17,1),(19,1),(20,1),(37,1),(40,1),(45,1),(46,1),(48,1),(61,1),(63,1)}
       31:{1,4,7}:{(16,1),(18,1),(21,1),(41,1)}
       32:{2,4,7}:{(17,1),(18,1),(38,1),(42,1)}
       33:{3,5}:{(19,1),(45,1),(47,1)}
       34:{2,3,6}:{(20,1),(22,1),(45,1),(48,1),(49,1)}
       35:{1,2,7}:{(20,1),(21,1),(49,1)}
       36:{2,4}:{(22,1),(47,1)}
       37:{1,2,6}:{(23,1),(24,1),(50,1),(51,1)}
       38:{2,3,7}:{(23,1),(32,1),(51,1),(58,1)}
       39:{1,3,5}:{(24,1),(25,1),(33,1),(50,1),(52,1),(69,1)}
       40:{1,2,5,6}:{(26,1),(27,1),(30,1),(53,1),(54,1),(59,1),(69,1),(75,1),(80,1)}
       41:{1,5,7}:{(26,1),(28,1),(31,1),(55,1)}
       42:{2,5,7}:{(27,1),(28,1),(32,1),(56,1)}
       43:{3,6,7}:{(28,1),(29,1),(55,1),(56,1)}
       44:{5,6,7}:{(29,1),(82,1)}
       45:{3,6}:{(30,1),(33,1),(58,1)}
       46:{1,2,4,7}:{(30,1),(31,1),(32,1),(35,1),(51,1),(54,1),(58,1),(60,1),(70,1),(72,1)}
       47:{3,4}:{(33,1),(36,1),(52,1)}
       48:{2,4,6}:{(34,1),(36,1),(57,1),(59,1),(60,1),(75,1)}
       49:{2,3,7}:{(34,1),(35,1),(58,1),(60,1)}
       50:{1,3,6}:{(37,1),(39,1),(45,1),(61,1),(62,1)}
       51:{1,2,7}:{(37,1),(38,1),(62,1)}
       52:{1,4}:{(39,1),(47,1)}
       53:{3,5,6}:{(40,1),(45,1),(63,1),(64,1),(66,1),(79,1),(83,1)}
       54:{1,2,5,7}:{(40,1),(41,1),(42,1),(46,1),(64,1),(65,1),(68,1),(76,1)}
       55:{1,6,7}:{(41,1),(43,1)}
       56:{2,6,7}:{(42,1),(43,1)}
       57:{3,4,6}:{(45,1),(47,1),(48,1),(61,1),(63,1),(66,1),(67,1),(79,1)}
       58:{3,7}:{(45,1),(46,1)}
       59:{2,5}:{(48,1),(66,1)}
       60:{2,4,7}:{(48,1),(49,1),(67,1),(68,1)}
       61:{1,4,6}:{(50,1),(52,1),(57,1),(69,1),(70,1),(80,1)}
       62:{1,3,7}:{(50,1),(51,1),(58,1),(70,1)}
       63:{4,6}:{(53,1),(71,1),(72,1)}
       64:{3,5,7}:{(53,1),(54,1),(58,1),(72,1),(73,1),(82,1)}
       65:{1,2,6,7}:{(54,1),(55,1),(56,1),(73,1),(75,1),(80,1)}
       66:{3,5}:{(57,1),(59,1),(69,1),(71,1)}
       67:{3,4,7}:{(57,1),(58,1),(60,1),(70,1),(72,1),(74,1)}
       68:{2,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{1,5}:{(61,1),(66,1)}
       70:{1,4,7}:{(61,1),(62,1),(67,1),(76,1)}
       71:{4,5}:{(63,1),(66,1)}
       72:{4,7}:{(63,1),(64,1)}
       73:{3,6,7}:{(64,1),(65,1),(78,1),(79,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(77,1),(79,1)}
       75:{2,6}:{(68,1),(79,1)}
       76:{1,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,5,7}:{(71,1),(72,1),(74,1),(81,1),(82,1)}
       78:{4,6,7}:{(72,1),(73,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(81,1)}
       80:{1,6}:{(76,1),(79,1)}
       81:{4,6}:{(77,1),(79,1),(83,1)}
       82:{5,7}:{(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 858 :  0:{1,2,6,7}:{(3,1),(5,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(38,1),(39,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(17,1),(20,1),(21,1),(25,1),(38,1),(39,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{3,5,6}:{(1,1),(9,1),(10,1),(13,1),(26,1),(28,1),(45,1)}
        5:{1,2,5,7}:{(0,1),(1,1),(9,1),(12,1),(46,1),(47,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(30,1),(31,1),(35,1)}
        7:{3,5}:{(2,1),(11,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(18,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(18,1),(22,1)}
       10:{4,6}:{(4,1),(17,1),(18,1)}
       11:{3,4}:{(7,1),(20,1),(21,1),(43,1)}
       12:{1,2,4,7}:{(5,1),(6,1),(18,1),(22,1),(40,1),(41,1),(44,1)}
       13:{3,6}:{(6,1),(7,1),(22,1)}
       14:{1,3,5}:{(7,1),(20,1),(23,1),(25,1),(38,1),(43,1),(54,1)}
       15:{2,3,5}:{(7,1),(21,1),(24,1),(25,1),(39,1),(43,1),(54,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,5}:{(10,1),(28,1),(58,1)}
       18:{4,7}:{(9,1),(10,1)}
       19:{3,4,6}:{(10,1),(11,1),(13,1),(28,1),(29,1),(30,1),(31,1),(45,1),(50,1),(58,1),(61,1)}
       20:{1,4}:{(11,1),(14,1),(58,1)}
       21:{2,4}:{(11,1),(15,1),(58,1)}
       22:{3,7}:{(12,1),(13,1)}
       23:{1,3,6}:{(13,1),(14,1),(30,1),(33,1),(35,1),(50,1)}
       24:{2,3,6}:{(13,1),(15,1),(31,1),(34,1),(35,1),(50,1)}
       25:{1,2,5}:{(14,1),(15,1),(32,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(18,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,5}:{(17,1),(19,1),(38,1),(39,1),(62,1)}
       29:{3,4,7}:{(18,1),(19,1),(22,1),(37,1),(40,1),(41,1),(55,1),(60,1)}
       30:{1,4,6}:{(19,1),(20,1),(23,1),(38,1),(40,1),(51,1)}
       31:{2,4,6}:{(19,1),(21,1),(24,1),(39,1),(41,1),(52,1)}
       32:{1,2,4}:{(20,1),(21,1),(25,1),(43,1)}
       33:{1,3,7}:{(22,1),(23,1),(40,1),(44,1),(55,1)}
       34:{2,3,7}:{(22,1),(24,1),(41,1),(44,1),(55,1)}
       35:{1,2,6}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(45,1),(46,1),(47,1)}
       38:{1,5}:{(28,1),(30,1)}
       39:{2,5}:{(28,1),(31,1)}
       40:{1,4,7}:{(29,1),(30,1),(33,1),(46,1)}
       41:{2,4,7}:{(29,1),(31,1),(34,1),(47,1)}
       42:{1,2,4,6}:{(30,1),(31,1),(32,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       43:{3}:{(32,1)}
       44:{1,2,7}:{(33,1),(34,1),(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(40,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(41,1),(52,1)}
       48:{1,2,5}:{(38,1),(39,1),(42,1),(54,1),(62,1)}
       49:{1,2,4,7}:{(40,1),(41,1),(42,1),(44,1),(53,1),(55,1),(60,1)}
       50:{3,6}:{(42,1),(43,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,5}:{(48,1),(50,1),(58,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(54,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 859 :   0:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(13,1),(14,1),(35,1),(36,1),(37,1),(41,1),(65,1),(66,1),(68,1),(71,1),(99,1),(100,1)}
         1:{3,5,7}:{(0,1),(3,1),(7,1),(22,1),(85,1),(88,1)}
         2:{1,2,4,6}:{(0,1),(7,1),(8,1),(20,1),(21,1),(26,1),(29,1),(78,1),(79,1),(109,1),(110,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(11,1),(33,1),(41,1),(101,1)}
         4:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(30,1),(31,1),(38,1),(41,1),(71,1),(134,1)}
         5:{1,3,5,7}:{(1,1),(9,1),(14,1),(15,1),(33,1),(35,1),(67,1),(100,1),(102,1),(104,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(14,1),(16,1),(33,1),(36,1),(67,1),(99,1),(103,1),(105,1)}
         7:{3,6}:{(1,1),(2,1)}
         8:{1,2,5,6}:{(2,1),(13,1),(17,1),(35,1),(36,1),(60,1),(61,1)}
         9:{1,4,7}:{(3,1),(5,1),(20,1),(84,1),(114,1)}
        10:{2,4,7}:{(3,1),(6,1),(21,1),(84,1),(115,1)}
        11:{3,4,6}:{(3,1),(7,1),(20,1),(21,1),(22,1),(29,1),(50,1),(84,1)}
        12:{3,6,7}:{(4,1),(7,1),(25,1),(88,1),(137,1)}
        13:{1,2,5,7}:{(4,1),(8,1),(25,1),(47,1),(48,1),(136,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(19,1),(26,1),(51,1),(116,1),(117,1)}
        15:{1,3,6}:{(5,1),(7,1),(20,1),(26,1),(50,1),(110,1)}
        16:{2,3,6}:{(6,1),(7,1),(21,1),(26,1),(50,1),(109,1)}
        17:{3,5,6}:{(7,1),(8,1),(22,1),(25,1),(29,1)}
        18:{3,4,6,7}:{(11,1),(12,1),(30,1),(31,1),(32,1),(41,1),(62,1),(63,1),(72,1),(73,1),(95,1),(96,1),(97,1),(119,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(14,1),(33,1),(34,1),(125,1)}
        20:{1,4,6}:{(9,1),(11,1),(15,1),(35,1)}
        21:{2,4,6}:{(10,1),(11,1),(16,1),(36,1)}
        22:{3,5}:{(11,1),(35,1),(36,1),(37,1)}
        23:{1,3,6,7}:{(12,1),(15,1),(30,1),(38,1),(39,1),(63,1),(95,1),(104,1),(120,1)}
        24:{2,3,6,7}:{(12,1),(16,1),(31,1),(38,1),(40,1),(63,1),(96,1),(105,1),(121,1)}
        25:{3,5,7}:{(12,1),(13,1),(17,1),(41,1),(138,1)}
        26:{1,2,6}:{(14,1),(15,1),(16,1)}
        27:{1,3,5,6}:{(15,1),(17,1),(35,1),(39,1),(42,1),(43,1),(60,1),(67,1),(69,1),(74,1),(93,1),(95,1),(102,1),(120,1),(132,1),(138,1)}
        28:{2,3,5,6}:{(16,1),(17,1),(36,1),(40,1),(42,1),(44,1),(61,1),(67,1),(70,1),(74,1),(93,1),(96,1),(103,1),(121,1),(133,1),(138,1)}
        29:{4,6}:{(17,1),(37,1),(41,1)}
        30:{1,4,6,7}:{(18,1),(20,1),(23,1),(47,1),(55,1),(78,1),(90,1),(110,1),(127,1)}
        31:{2,4,6,7}:{(18,1),(21,1),(24,1),(48,1),(56,1),(79,1),(89,1),(109,1),(128,1)}
        32:{3,5,7}:{(18,1),(22,1),(45,1),(47,1),(48,1),(49,1),(126,1)}
        33:{3,7}:{(19,1),(50,1),(131,1)}
        34:{1,2,4,6}:{(19,1),(20,1),(21,1),(26,1),(50,1),(51,1),(84,1)}
        35:{1,5}:{(20,1),(22,1)}
        36:{2,5}:{(21,1),(22,1)}
        37:{4,5}:{(22,1),(29,1),(84,1)}
        38:{1,2,6,7}:{(23,1),(24,1),(26,1),(54,1),(109,1),(110,1),(117,1),(129,1)}
        39:{1,3,5,7}:{(23,1),(25,1),(27,1),(47,1),(54,1),(55,1),(80,1),(82,1),(88,1)}
        40:{2,3,5,7}:{(24,1),(25,1),(28,1),(48,1),(54,1),(56,1),(80,1),(83,1),(88,1)}
        41:{4,7}:{(25,1),(29,1),(139,1)}
        42:{1,2,5,6}:{(26,1),(27,1),(28,1),(51,1),(54,1),(57,1),(86,1),(87,1),(109,1),(110,1),(116,1),(129,1),(136,1)}
        43:{1,4,6}:{(27,1),(29,1),(52,1),(55,1),(58,1),(84,1),(107,1),(114,1),(139,1)}
        44:{2,4,6}:{(28,1),(29,1),(53,1),(56,1),(59,1),(84,1),(107,1),(115,1),(139,1)}
        45:{3,5,6}:{(32,1),(60,1),(61,1),(62,1),(95,1),(96,1)}
        46:{1,2,4,6,7}:{(30,1),(31,1),(34,1),(38,1),(63,1),(64,1),(71,1),(94,1),(97,1)}
        47:{1,5,7}:{(30,1),(32,1),(35,1),(60,1),(132,1)}
        48:{2,5,7}:{(31,1),(32,1),(36,1),(61,1),(133,1)}
        49:{4,5,7}:{(32,1),(37,1),(41,1),(62,1),(97,1),(118,1)}
        50:{3,6}:{(33,1),(34,1),(67,1)}
        51:{1,2,5}:{(34,1),(35,1),(36,1),(67,1)}
        52:{1,4,5}:{(35,1),(37,1),(43,1),(69,1),(118,1),(132,1)}
        53:{2,4,5}:{(36,1),(37,1),(44,1),(70,1),(118,1),(133,1)}
        54:{1,2,5,7}:{(38,1),(39,1),(40,1),(42,1),(71,1),(99,1),(100,1)}
        55:{1,4,7}:{(39,1),(41,1),(43,1),(72,1),(97,1)}
        56:{2,4,7}:{(40,1),(41,1),(44,1),(73,1),(97,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(44,1),(68,1),(71,1),(74,1),(75,1),(76,1),(106,1),(125,1)}
        58:{3,4,6}:{(43,1),(69,1),(72,1),(74,1),(75,1),(95,1),(101,1)}
        59:{3,4,6}:{(44,1),(70,1),(73,1),(74,1),(76,1),(96,1),(101,1)}
        60:{1,5,6}:{(45,1),(47,1),(78,1),(110,1)}
        61:{2,5,6}:{(45,1),(48,1),(79,1),(109,1)}
        62:{4,6}:{(45,1),(49,1)}
        63:{3,6,7}:{(46,1),(50,1),(80,1),(88,1),(108,1)}
        64:{1,2,5,7}:{(46,1),(47,1),(48,1),(51,1),(77,1),(80,1)}
        65:{1,4,5,7}:{(47,1),(49,1),(52,1),(55,1),(78,1),(82,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(53,1),(56,1),(79,1),(83,1)}
        67:{3,5}:{(50,1),(51,1),(84,1)}
        68:{1,2,4,5}:{(51,1),(52,1),(53,1),(57,1),(84,1),(85,1),(86,1),(87,1),(114,1),(115,1),(116,1),(136,1),(139,1)}
        69:{3,5}:{(52,1),(58,1),(86,1)}
        70:{3,5}:{(53,1),(59,1),(87,1)}
        71:{1,2,4,7}:{(54,1),(55,1),(56,1),(57,1),(88,1),(89,1),(90,1),(117,1)}
        72:{3,4,7}:{(55,1),(58,1),(82,1),(88,1),(89,1)}
        73:{3,4,7}:{(56,1),(59,1),(83,1),(88,1),(90,1)}
        74:{3,6}:{(57,1),(85,1),(88,1),(131,1)}
        75:{2,4,6}:{(58,1),(86,1),(89,1),(92,1),(109,1),(115,1)}
        76:{1,4,6}:{(59,1),(87,1),(90,1),(91,1),(110,1),(114,1)}
        77:{1,2,5,6}:{(60,1),(61,1),(64,1),(93,1),(94,1),(132,1),(133,1)}
        78:{1,4,6}:{(60,1),(62,1),(65,1),(95,1)}
        79:{2,4,6}:{(61,1),(62,1),(66,1),(96,1)}
        80:{3,5,7}:{(63,1),(64,1),(67,1),(93,1),(97,1)}
        81:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(68,1),(71,1),(94,1),(97,1),(98,1),(99,1),(100,1),(118,1),(122,1),(123,1),(124,1),(132,1),(133,1)}
        82:{3,5,7}:{(65,1),(69,1),(72,1),(95,1),(99,1)}
        83:{3,5,7}:{(66,1),(70,1),(73,1),(96,1),(100,1)}
        84:{4}:{(67,1)}
        85:{3,5}:{(68,1),(74,1),(101,1)}
        86:{2,5}:{(69,1),(75,1)}
        87:{1,5}:{(70,1),(76,1)}
        88:{3,7}:{(71,1),(74,1)}
        89:{2,4,7}:{(72,1),(75,1),(99,1),(105,1)}
        90:{1,4,7}:{(73,1),(76,1),(100,1),(104,1)}
        91:{1,3,6}:{(74,1),(76,1),(102,1),(104,1),(106,1)}
        92:{2,3,6}:{(74,1),(75,1),(103,1),(105,1),(106,1)}
        93:{3,5,6}:{(77,1),(80,1),(107,1),(108,1),(126,1)}
        94:{1,2,4,6}:{(77,1),(78,1),(79,1),(81,1),(107,1),(108,1),(109,1),(110,1),(127,1),(128,1),(129,1)}
        95:{3,6}:{(78,1),(82,1),(109,1)}
        96:{3,6}:{(79,1),(83,1),(110,1)}
        97:{4,7}:{(80,1),(84,1),(107,1)}
        98:{3,5,7}:{(81,1),(85,1),(88,1),(108,1),(111,1),(126,1)}
        99:{2,5,7}:{(82,1),(86,1),(89,1),(109,1)}
       100:{1,5,7}:{(83,1),(87,1),(90,1),(110,1)}
       101:{3,4}:{(84,1),(85,1),(114,1),(115,1),(131,1),(139,1)}
       102:{1,3,5}:{(85,1),(87,1),(91,1),(114,1),(116,1),(131,1)}
       103:{2,3,5}:{(85,1),(86,1),(92,1),(115,1),(116,1),(131,1)}
       104:{1,3,7}:{(88,1),(90,1),(91,1),(117,1)}
       105:{2,3,7}:{(88,1),(89,1),(92,1),(117,1)}
       106:{1,2,6}:{(91,1),(92,1),(116,1),(117,1)}
       107:{4,6}:{(93,1),(97,1),(118,1)}
       108:{3,6}:{(94,1),(98,1)}
       109:{2,6}:{(95,1),(99,1)}
       110:{1,6}:{(96,1),(100,1)}
       111:{3,4,7}:{(97,1),(98,1),(101,1),(119,1),(122,1),(123,1),(135,1)}
       112:{1,3,5,7}:{(98,1),(100,1),(102,1),(104,1),(120,1),(122,1),(124,1),(132,1),(135,1),(138,1)}
       113:{2,3,5,7}:{(98,1),(99,1),(103,1),(105,1),(121,1),(123,1),(124,1),(133,1),(135,1),(138,1)}
       114:{1,4}:{(101,1),(102,1)}
       115:{2,4}:{(101,1),(103,1)}
       116:{1,2,5}:{(102,1),(103,1),(106,1),(125,1)}
       117:{1,2,7}:{(104,1),(105,1),(106,1)}
       118:{4,5}:{(107,1),(126,1),(139,1)}
       119:{3,4,6}:{(107,1),(108,1),(111,1),(126,1),(127,1),(128,1),(137,1),(139,1)}
       120:{1,3,6}:{(108,1),(110,1),(112,1),(127,1),(129,1),(137,1)}
       121:{2,3,6}:{(108,1),(109,1),(113,1),(128,1),(129,1),(137,1)}
       122:{1,4,7}:{(111,1),(112,1),(114,1),(127,1),(139,1)}
       123:{2,4,7}:{(111,1),(113,1),(115,1),(128,1),(139,1)}
       124:{1,2,5,7}:{(112,1),(113,1),(116,1),(117,1),(129,1),(130,1),(136,1)}
       125:{1,2,4}:{(114,1),(115,1),(116,1),(131,1)}
       126:{3,5}:{(118,1),(119,1),(132,1),(133,1)}
       127:{1,4,6}:{(119,1),(120,1),(122,1),(132,1)}
       128:{2,4,6}:{(119,1),(121,1),(123,1),(133,1)}
       129:{1,2,6}:{(120,1),(121,1),(124,1)}
       130:{1,2,4,7}:{(122,1),(123,1),(124,1),(125,1),(134,1),(135,1)}
       131:{3}:{(125,1)}
       132:{1,5}:{(126,1),(127,1)}
       133:{2,5}:{(126,1),(128,1)}
       134:{1,2,4,6}:{(127,1),(128,1),(129,1),(130,1),(136,1),(137,1),(139,1)}
       135:{3,7}:{(130,1),(131,1),(137,1)}
       136:{1,2,5}:{(132,1),(133,1),(134,1),(138,1)}
       137:{3,6}:{(134,1),(135,1),(138,1)}
       138:{3,5}:{(136,1),(137,1),(139,1)}
       139:{4}:{(138,1)}

 860 :   0:{1,4,5,6}:{(2,1),(3,1),(20,1),(78,1),(80,1)}
         1:{1,3,4,6}:{(5,1),(6,1),(7,1),(20,1),(35,1),(60,1),(75,1),(108,1),(127,1)}
         2:{3,5,6}:{(0,1),(8,1),(10,1),(11,1)}
         3:{1,4,5,7}:{(0,1),(11,1),(12,1),(39,1),(89,1),(91,1)}
         4:{3,4,5}:{(8,1),(13,1),(14,1),(50,1)}
         5:{1,3,5}:{(1,1),(13,1),(16,1),(50,1),(131,1),(150,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(19,1),(55,1),(57,1),(107,1)}
         7:{1,3,4,7}:{(1,1),(17,1),(19,1),(39,1),(87,1),(103,1),(132,1),(201,1)}
         8:{3,4,6}:{(2,1),(4,1),(20,1),(21,1),(22,1),(60,1)}
         9:{1,3,5,6}:{(2,1),(5,1),(20,1),(23,1),(24,1),(35,1),(60,1),(78,1),(128,1)}
        10:{2,5,6}:{(2,1),(21,1),(25,1)}
        11:{3,5,7}:{(2,1),(3,1),(22,1),(25,1),(26,1)}
        12:{1,4,6,7}:{(3,1),(26,1),(27,1),(69,1)}
        13:{1,4,5}:{(4,1),(5,1),(20,1),(170,1)}
        14:{2,4,5}:{(4,1),(21,1),(28,1)}
        15:{3,4,5,7}:{(4,1),(22,1),(30,1),(31,1),(32,1),(64,1),(76,1),(157,1),(160,1),(165,1),(170,1)}
        16:{1,2,5}:{(5,1),(6,1),(33,1),(130,1)}
        17:{1,3,5,7}:{(5,1),(7,1),(30,1),(34,1),(35,1),(76,1),(153,1),(188,1),(192,1)}
        18:{2,3,6}:{(6,1),(33,1),(36,1),(60,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(34,1),(36,1),(81,1),(207,1)}
        20:{1,4,6}:{(8,1),(9,1),(13,1),(39,1),(151,1)}
        21:{2,4,6}:{(8,1),(10,1),(14,1),(37,1),(40,1)}
        22:{3,4,7}:{(8,1),(11,1),(39,1),(40,1),(87,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(16,1),(38,1),(42,1),(43,1),(57,1),(131,1),(171,1)}
        24:{1,3,5,7}:{(9,1),(11,1),(39,1),(43,1),(44,1),(87,1),(89,1),(138,1)}
        25:{2,5,7}:{(10,1),(11,1),(40,1),(45,1)}
        26:{3,6,7}:{(11,1),(12,1),(45,1)}
        27:{1,5,6,7}:{(12,1),(46,1),(89,1),(142,1)}
        28:{2,3,5}:{(14,1),(37,1),(47,1),(48,1),(50,1)}
        29:{1,2,4,5}:{(13,1),(14,1),(16,1),(38,1),(48,1),(50,1),(55,1),(92,1),(99,1),(131,1)}
        30:{1,4,5,7}:{(13,1),(15,1),(17,1),(39,1),(52,1),(89,1),(175,1),(180,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(40,1),(49,1),(53,1),(90,1),(135,1),(145,1)}
        32:{3,4,6}:{(15,1),(52,1),(53,1),(54,1),(104,1),(151,1)}
        33:{2,3,5}:{(16,1),(18,1),(50,1),(55,1)}
        34:{1,2,5,7}:{(16,1),(17,1),(19,1),(56,1),(57,1),(200,1),(203,1)}
        35:{1,3,6}:{(17,1),(52,1),(57,1),(104,1),(171,1)}
        36:{2,3,7}:{(18,1),(19,1),(87,1),(209,1)}
        37:{2,3,6}:{(21,1),(28,1),(58,1),(59,1),(60,1)}
        38:{1,2,4,6}:{(20,1),(21,1),(23,1),(29,1),(58,1),(60,1),(61,1),(65,1),(108,1)}
        39:{1,4,7}:{(20,1),(22,1),(24,1),(160,1)}
        40:{2,4,7}:{(21,1),(22,1),(25,1),(59,1)}
        41:{3,4,6,7}:{(22,1),(26,1),(32,1),(62,1),(63,1),(64,1),(69,1),(114,1),(119,1),(157,1),(160,1)}
        42:{2,3,5,6}:{(23,1),(33,1),(60,1),(65,1),(66,1),(82,1),(112,1),(128,1),(130,1),(158,1),(162,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(25,1),(61,1),(66,1),(67,1),(153,1)}
        44:{1,3,6,7}:{(24,1),(26,1),(35,1),(62,1),(67,1),(114,1),(188,1)}
        45:{2,6,7}:{(25,1),(26,1)}
        46:{3,5,6,7}:{(26,1),(27,1),(64,1),(68,1),(69,1),(119,1)}
        47:{2,3,4}:{(28,1),(70,1),(75,1)}
        48:{1,2,5}:{(28,1),(58,1),(70,1),(72,1)}
        49:{2,3,5,7}:{(28,1),(31,1),(59,1),(71,1),(73,1),(74,1),(76,1),(122,1),(206,1)}
        50:{3,5}:{(29,1),(60,1),(75,1)}
        51:{1,2,4,5,7}:{(29,1),(30,1),(31,1),(34,1),(61,1),(73,1),(76,1),(77,1),(81,1),(115,1),(117,1),(123,1),(130,1),(153,1),(156,1),(160,1),(164,1),(166,1),(170,1),(186,1),(206,1)}
        52:{1,4,6}:{(30,1),(32,1),(35,1),(78,1)}
        53:{2,4,6}:{(31,1),(32,1),(74,1),(79,1)}
        54:{3,5,6}:{(32,1),(64,1),(78,1),(79,1),(80,1)}
        55:{2,4}:{(33,1),(75,1)}
        56:{2,3,5,7}:{(33,1),(34,1),(36,1),(76,1),(81,1),(82,1),(130,1),(189,1),(193,1),(206,1)}
        57:{1,2,6}:{(34,1),(35,1),(82,1)}
        58:{1,2,6}:{(37,1),(48,1),(83,1),(84,1)}
        59:{2,3,7}:{(37,1),(40,1),(84,1),(87,1)}
        60:{3,6}:{(38,1),(50,1),(87,1)}
        61:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(84,1),(87,1),(93,1),(132,1)}
        62:{1,4,6,7}:{(39,1),(41,1),(44,1),(52,1),(89,1),(142,1),(175,1)}
        63:{2,4,6,7}:{(40,1),(41,1),(45,1),(53,1),(85,1),(90,1),(135,1)}
        64:{3,5,7}:{(41,1),(54,1),(89,1),(90,1),(91,1)}
        65:{2,4,6}:{(42,1),(55,1),(86,1),(92,1),(93,1),(151,1)}
        66:{2,3,5,7}:{(42,1),(43,1),(87,1),(93,1),(94,1),(136,1),(138,1),(141,1)}
        67:{1,2,6,7}:{(43,1),(44,1),(45,1),(57,1),(94,1),(171,1),(200,1)}
        68:{2,5,6,7}:{(45,1),(46,1),(90,1),(95,1)}
        69:{4,6,7}:{(46,1),(91,1)}
        70:{1,2,4}:{(47,1),(48,1),(96,1),(99,1)}
        71:{2,3,4,7}:{(47,1),(49,1),(97,1),(98,1),(103,1),(135,1),(174,1),(199,1)}
        72:{1,3,5}:{(48,1),(50,1),(83,1),(96,1),(99,1),(131,1)}
        73:{1,2,5,7}:{(48,1),(49,1),(84,1),(97,1),(100,1),(101,1),(144,1)}
        74:{2,3,6}:{(49,1),(53,1),(101,1),(104,1),(208,1)}
        75:{3,4}:{(50,1),(55,1),(99,1)}
        76:{3,5,7}:{(50,1),(51,1),(87,1),(103,1),(104,1),(150,1),(174,1),(179,1)}
        77:{1,2,4,6}:{(51,1),(52,1),(53,1),(57,1),(101,1),(104,1),(105,1),(107,1),(140,1),(146,1),(151,1),(171,1),(197,1),(208,1)}
        78:{1,5,6}:{(52,1),(54,1),(89,1)}
        79:{2,5,6}:{(53,1),(54,1),(90,1)}
        80:{4,5,6}:{(54,1),(91,1),(151,1)}
        81:{2,4,7}:{(55,1),(56,1),(103,1),(107,1),(202,1)}
        82:{2,3,6}:{(56,1),(57,1),(104,1),(107,1),(208,1)}
        83:{1,3,6}:{(58,1),(60,1),(72,1),(108,1),(109,1)}
        84:{1,2,7}:{(58,1),(59,1),(109,1)}
        85:{2,3,6,7}:{(59,1),(63,1),(74,1),(110,1),(111,1),(114,1),(119,1)}
        86:{3,4,6}:{(60,1),(65,1),(75,1),(108,1),(112,1),(113,1),(158,1)}
        87:{3,7}:{(60,1),(61,1)}
        88:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(67,1),(77,1),(110,1),(114,1),(115,1),(118,1),(154,1),(156,1),(160,1)}
        89:{1,5,7}:{(62,1),(64,1),(78,1)}
        90:{2,5,7}:{(63,1),(64,1),(79,1)}
        91:{4,5,7}:{(64,1),(69,1),(80,1),(160,1)}
        92:{2,4,5}:{(65,1),(112,1),(130,1),(170,1)}
        93:{2,4,7}:{(65,1),(66,1),(113,1),(160,1)}
        94:{2,3,6,7}:{(66,1),(67,1),(82,1),(114,1),(118,1),(158,1),(189,1)}
        95:{2,4,6,7}:{(68,1),(69,1),(116,1),(119,1)}
        96:{1,3}:{(70,1)}
        97:{1,2,4,7}:{(70,1),(71,1),(73,1),(120,1),(121,1),(123,1)}
        98:{2,3,4,6}:{(71,1),(74,1),(121,1),(122,1),(126,1),(127,1),(168,1),(191,1),(195,1)}
        99:{1,4}:{(72,1),(75,1)}
       100:{1,3,5,7}:{(72,1),(73,1),(76,1),(109,1),(120,1),(123,1),(124,1),(153,1),(163,1),(166,1)}
       101:{1,2,6}:{(73,1),(74,1),(124,1)}
       102:{2,3,5,6}:{(74,1),(79,1),(111,1),(122,1),(125,1),(126,1),(128,1),(129,1),(168,1)}
       103:{3,4,7}:{(75,1),(76,1),(81,1),(123,1),(127,1),(160,1),(191,1)}
       104:{3,6}:{(76,1),(77,1)}
       105:{1,2,5,6}:{(77,1),(78,1),(79,1),(115,1),(128,1),(130,1),(162,1),(166,1),(185,1)}
       106:{2,4,5,6}:{(79,1),(80,1),(116,1),(126,1),(129,1)}
       107:{2,4,6}:{(81,1),(82,1),(127,1),(130,1)}
       108:{1,4,6}:{(83,1),(86,1),(99,1),(131,1),(132,1),(171,1)}
       109:{1,3,7}:{(83,1),(84,1),(87,1),(132,1)}
       110:{1,2,6,7}:{(84,1),(85,1),(101,1),(133,1),(134,1),(142,1),(208,1)}
       111:{2,3,5,7}:{(85,1),(90,1),(102,1),(134,1),(135,1),(138,1),(139,1),(174,1)}
       112:{3,5}:{(86,1),(92,1),(131,1)}
       113:{3,4,7}:{(86,1),(87,1),(93,1),(132,1),(136,1)}
       114:{3,6,7}:{(87,1),(88,1),(104,1),(138,1),(174,1)}
       115:{1,2,5,7}:{(88,1),(89,1),(90,1),(105,1),(138,1),(141,1),(172,1)}
       116:{2,4,5,7}:{(90,1),(91,1),(95,1),(106,1),(135,1),(139,1)}
       117:{2,4,5,7}:{(92,1),(93,1),(136,1),(140,1),(141,1),(177,1)}
       118:{2,4,6,7}:{(93,1),(94,1),(107,1),(137,1),(140,1),(141,1),(199,1),(208,1)}
       119:{3,6,7}:{(95,1),(139,1),(142,1)}
       120:{1,3,7}:{(96,1),(97,1),(143,1),(174,1)}
       121:{1,2,4,6}:{(97,1),(98,1),(101,1),(143,1),(144,1),(146,1),(178,1)}
       122:{2,3,5}:{(98,1),(144,1),(145,1),(150,1),(179,1),(204,1)}
       123:{1,4,7}:{(99,1),(100,1),(103,1),(146,1),(178,1)}
       124:{1,3,6}:{(100,1),(101,1),(104,1),(146,1),(171,1)}
       125:{1,2,5,6}:{(101,1),(102,1),(134,1),(144,1),(147,1),(148,1),(152,1),(204,1),(208,1)}
       126:{2,4,6}:{(102,1),(135,1),(145,1),(149,1),(151,1)}
       127:{3,4,6}:{(103,1),(104,1),(107,1),(146,1),(150,1),(151,1)}
       128:{3,5,6}:{(104,1),(105,1),(138,1),(150,1),(151,1)}
       129:{3,5,6}:{(106,1),(139,1),(149,1),(152,1)}
       130:{2,5}:{(107,1),(150,1)}
       131:{1,5}:{(108,1),(112,1)}
       132:{1,4,7}:{(108,1),(109,1),(113,1),(153,1)}
       133:{1,3,6,7}:{(109,1),(110,1),(114,1),(124,1),(154,1),(155,1),(205,1)}
       134:{1,2,5,7}:{(110,1),(111,1),(125,1),(155,1),(156,1),(161,1),(206,1)}
       135:{2,4,7}:{(111,1),(126,1),(157,1),(160,1)}
       136:{3,5,7}:{(112,1),(113,1),(117,1),(153,1),(158,1)}
       137:{3,4,6,7}:{(113,1),(114,1),(118,1),(127,1),(154,1),(158,1),(159,1),(160,1),(187,1),(190,1),(205,1)}
       138:{3,5,7}:{(114,1),(115,1),(128,1),(160,1)}
       139:{3,5,7}:{(116,1),(119,1),(129,1),(157,1),(161,1)}
       140:{2,4,6}:{(117,1),(158,1),(162,1),(190,1)}
       141:{2,5,7}:{(118,1),(130,1),(159,1),(162,1)}
       142:{1,6,7}:{(119,1),(161,1)}
       143:{1,3,6}:{(120,1),(121,1),(163,1),(168,1)}
       144:{1,2,5}:{(121,1),(122,1),(163,1),(166,1)}
       145:{2,4,5}:{(122,1),(126,1),(165,1),(170,1)}
       146:{1,4,6}:{(123,1),(124,1),(127,1),(166,1)}
       147:{1,3,5,6}:{(124,1),(125,1),(128,1),(155,1),(163,1),(166,1),(167,1),(168,1),(185,1),(194,1),(205,1)}
       148:{1,2,4,6}:{(125,1),(126,1),(156,1),(164,1),(167,1),(168,1),(169,1),(195,1),(196,1)}
       149:{3,4,6}:{(126,1),(129,1),(157,1),(165,1),(168,1),(169,1)}
       150:{3,5}:{(127,1),(130,1),(166,1),(170,1)}
       151:{4,6}:{(128,1),(160,1),(170,1)}
       152:{1,5,6}:{(129,1),(161,1),(169,1)}
       153:{1,5,7}:{(131,1),(132,1),(136,1),(171,1)}
       154:{1,4,6,7}:{(132,1),(133,1),(137,1),(146,1),(171,1),(172,1),(173,1),(197,1)}
       155:{1,3,5,7}:{(133,1),(134,1),(138,1),(147,1),(172,1),(173,1),(174,1),(198,1)}
       156:{1,2,4,7}:{(134,1),(135,1),(148,1),(173,1),(174,1),(175,1),(199,1),(200,1)}
       157:{3,4,7}:{(135,1),(139,1),(149,1),(174,1),(175,1)}
       158:{3,6}:{(136,1),(140,1),(171,1)}
       159:{3,5,7}:{(137,1),(141,1),(150,1),(172,1),(176,1),(177,1)}
       160:{4,7}:{(138,1),(151,1)}
       161:{1,5,7}:{(139,1),(142,1),(152,1),(175,1)}
       162:{2,5,6}:{(140,1),(141,1),(176,1),(208,1)}
       163:{1,3,5}:{(143,1),(144,1),(178,1),(179,1)}
       164:{1,2,4,5}:{(144,1),(145,1),(148,1),(178,1),(179,1),(180,1),(181,1),(202,1),(203,1),(204,1)}
       165:{3,4,5}:{(145,1),(149,1),(179,1),(180,1)}
       166:{1,5}:{(146,1),(150,1)}
       167:{1,4,6}:{(147,1),(151,1),(173,1),(178,1),(181,1),(182,1)}
       168:{3,6}:{(148,1),(174,1),(179,1)}
       169:{1,4,6}:{(149,1),(152,1),(175,1),(180,1),(183,1)}
       170:{4,5}:{(150,1),(151,1)}
       171:{1,6}:{(153,1),(158,1)}
       172:{1,5,7}:{(154,1),(159,1),(166,1),(185,1)}
       173:{1,4,7}:{(155,1),(160,1),(167,1),(187,1)}
       174:{3,7}:{(156,1),(168,1)}
       175:{1,4,7}:{(157,1),(161,1),(169,1),(188,1)}
       176:{3,5,6}:{(158,1),(159,1),(162,1),(185,1),(190,1),(205,1)}
       177:{4,5,7}:{(159,1),(160,1),(170,1),(190,1)}
       178:{1,4}:{(163,1),(191,1)}
       179:{3,5}:{(164,1),(168,1),(191,1)}
       180:{1,4,5}:{(165,1),(169,1),(192,1)}
       181:{1,4,5}:{(166,1),(167,1),(170,1),(194,1)}
       182:{3,4,6}:{(167,1),(168,1),(187,1),(191,1),(194,1),(195,1),(205,1)}
       183:{1,3,6}:{(168,1),(169,1),(188,1),(192,1),(196,1)}
       184:{2,3,6}:{(168,1),(189,1),(193,1),(195,1),(196,1)}
       185:{1,5,6}:{(171,1),(172,1),(176,1),(197,1)}
       186:{1,4,5,7}:{(172,1),(173,1),(177,1),(181,1),(197,1),(198,1)}
       187:{3,4,7}:{(173,1),(174,1),(182,1),(198,1),(199,1)}
       188:{1,3,7}:{(174,1),(175,1),(183,1),(200,1)}
       189:{2,3,7}:{(174,1),(184,1),(199,1),(200,1)}
       190:{4,6}:{(176,1),(177,1)}
       191:{3,4}:{(178,1),(179,1),(202,1)}
       192:{1,3,5}:{(179,1),(180,1),(183,1),(201,1),(203,1)}
       193:{2,3,5}:{(179,1),(184,1),(202,1),(203,1),(204,1),(209,1)}
       194:{3,5}:{(181,1),(182,1),(204,1)}
       195:{2,4,6}:{(182,1),(184,1),(199,1),(202,1),(204,1),(208,1)}
       196:{1,2,6}:{(183,1),(184,1),(200,1),(203,1)}
       197:{1,4,6}:{(185,1),(186,1),(190,1),(205,1)}
       198:{3,5,7}:{(186,1),(187,1),(194,1),(205,1),(206,1)}
       199:{2,4,7}:{(187,1),(189,1),(195,1),(206,1)}
       200:{1,2,7}:{(188,1),(189,1),(196,1)}
       201:{1,3,4}:{(191,1),(192,1),(207,1)}
       202:{2,4}:{(191,1),(193,1)}
       203:{1,2,5}:{(192,1),(193,1),(196,1),(207,1)}
       204:{2,5}:{(194,1),(195,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{2,5,7}:{(198,1),(199,1),(204,1),(208,1)}
       207:{1,2,4}:{(201,1),(202,1),(203,1),(209,1)}
       208:{2,6}:{(205,1),(206,1)}
       209:{2,3}:{(207,1)}

 861 :   0:{2,4,5,6}:{(2,1),(3,1),(21,1),(79,1),(80,1)}
         1:{2,3,4,6}:{(5,1),(6,1),(7,1),(21,1),(35,1),(60,1),(75,1),(108,1),(127,1)}
         2:{3,5,6}:{(0,1),(8,1),(9,1),(11,1)}
         3:{2,4,5,7}:{(0,1),(11,1),(12,1),(40,1),(90,1),(91,1)}
         4:{3,4,5}:{(8,1),(13,1),(14,1),(50,1)}
         5:{2,3,5}:{(1,1),(14,1),(16,1),(50,1),(131,1),(150,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(19,1),(55,1),(57,1),(107,1)}
         7:{2,3,4,7}:{(1,1),(17,1),(19,1),(40,1),(87,1),(103,1),(132,1),(202,1)}
         8:{3,4,6}:{(2,1),(4,1),(20,1),(21,1),(22,1),(60,1)}
         9:{1,5,6}:{(2,1),(20,1),(24,1)}
        10:{2,3,5,6}:{(2,1),(5,1),(21,1),(23,1),(25,1),(35,1),(60,1),(79,1),(128,1)}
        11:{3,5,7}:{(2,1),(3,1),(22,1),(24,1),(26,1)}
        12:{2,4,6,7}:{(3,1),(26,1),(27,1),(69,1)}
        13:{1,4,5}:{(4,1),(20,1),(28,1)}
        14:{2,4,5}:{(4,1),(5,1),(21,1),(170,1)}
        15:{3,4,5,7}:{(4,1),(22,1),(30,1),(31,1),(32,1),(64,1),(76,1),(157,1),(160,1),(165,1),(170,1)}
        16:{1,2,5}:{(5,1),(6,1),(33,1),(130,1)}
        17:{2,3,5,7}:{(5,1),(7,1),(31,1),(34,1),(35,1),(76,1),(153,1),(189,1),(193,1)}
        18:{1,3,6}:{(6,1),(33,1),(36,1),(60,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(34,1),(36,1),(81,1),(207,1)}
        20:{1,4,6}:{(8,1),(9,1),(13,1),(37,1),(39,1)}
        21:{2,4,6}:{(8,1),(10,1),(14,1),(40,1),(151,1)}
        22:{3,4,7}:{(8,1),(11,1),(39,1),(40,1),(87,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(16,1),(38,1),(42,1),(43,1),(57,1),(131,1),(171,1)}
        24:{1,5,7}:{(9,1),(11,1),(39,1),(44,1)}
        25:{2,3,5,7}:{(10,1),(11,1),(40,1),(43,1),(45,1),(87,1),(90,1),(138,1)}
        26:{3,6,7}:{(11,1),(12,1),(44,1)}
        27:{2,5,6,7}:{(12,1),(46,1),(90,1),(142,1)}
        28:{1,3,5}:{(13,1),(37,1),(47,1),(48,1),(50,1)}
        29:{1,2,4,5}:{(13,1),(14,1),(16,1),(38,1),(48,1),(50,1),(55,1),(92,1),(99,1),(131,1)}
        30:{1,4,5,7}:{(13,1),(15,1),(39,1),(49,1),(52,1),(89,1),(135,1),(145,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(17,1),(40,1),(53,1),(90,1),(175,1),(180,1)}
        32:{3,4,6}:{(15,1),(52,1),(53,1),(54,1),(104,1),(151,1)}
        33:{1,3,5}:{(16,1),(18,1),(50,1),(55,1)}
        34:{1,2,5,7}:{(16,1),(17,1),(19,1),(56,1),(57,1),(200,1),(203,1)}
        35:{2,3,6}:{(17,1),(53,1),(57,1),(104,1),(171,1)}
        36:{1,3,7}:{(18,1),(19,1),(87,1),(209,1)}
        37:{1,3,6}:{(20,1),(28,1),(58,1),(59,1),(60,1)}
        38:{1,2,4,6}:{(20,1),(21,1),(23,1),(29,1),(58,1),(60,1),(61,1),(65,1),(108,1)}
        39:{1,4,7}:{(20,1),(22,1),(24,1),(59,1)}
        40:{2,4,7}:{(21,1),(22,1),(25,1),(160,1)}
        41:{3,4,6,7}:{(22,1),(26,1),(32,1),(62,1),(63,1),(64,1),(69,1),(114,1),(119,1),(157,1),(160,1)}
        42:{1,3,5,6}:{(23,1),(33,1),(60,1),(65,1),(66,1),(82,1),(112,1),(128,1),(130,1),(158,1),(162,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(25,1),(61,1),(66,1),(67,1),(153,1)}
        44:{1,6,7}:{(24,1),(26,1)}
        45:{2,3,6,7}:{(25,1),(26,1),(35,1),(63,1),(67,1),(114,1),(189,1)}
        46:{3,5,6,7}:{(26,1),(27,1),(64,1),(68,1),(69,1),(119,1)}
        47:{1,3,4}:{(28,1),(70,1),(75,1)}
        48:{1,2,5}:{(28,1),(58,1),(70,1),(72,1)}
        49:{1,3,5,7}:{(28,1),(30,1),(59,1),(71,1),(73,1),(74,1),(76,1),(122,1),(206,1)}
        50:{3,5}:{(29,1),(60,1),(75,1)}
        51:{1,2,4,5,7}:{(29,1),(30,1),(31,1),(34,1),(61,1),(73,1),(76,1),(77,1),(81,1),(115,1),(117,1),(123,1),(130,1),(153,1),(156,1),(160,1),(164,1),(166,1),(170,1),(186,1),(206,1)}
        52:{1,4,6}:{(30,1),(32,1),(74,1),(78,1)}
        53:{2,4,6}:{(31,1),(32,1),(35,1),(79,1)}
        54:{3,5,6}:{(32,1),(64,1),(78,1),(79,1),(80,1)}
        55:{1,4}:{(33,1),(75,1)}
        56:{1,3,5,7}:{(33,1),(34,1),(36,1),(76,1),(81,1),(82,1),(130,1),(188,1),(192,1),(206,1)}
        57:{1,2,6}:{(34,1),(35,1),(82,1)}
        58:{1,2,6}:{(37,1),(48,1),(83,1),(84,1)}
        59:{1,3,7}:{(37,1),(39,1),(84,1),(87,1)}
        60:{3,6}:{(38,1),(50,1),(87,1)}
        61:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(84,1),(87,1),(93,1),(132,1)}
        62:{1,4,6,7}:{(39,1),(41,1),(44,1),(52,1),(85,1),(89,1),(135,1)}
        63:{2,4,6,7}:{(40,1),(41,1),(45,1),(53,1),(90,1),(142,1),(175,1)}
        64:{3,5,7}:{(41,1),(54,1),(89,1),(90,1),(91,1)}
        65:{1,4,6}:{(42,1),(55,1),(86,1),(92,1),(93,1),(151,1)}
        66:{1,3,5,7}:{(42,1),(43,1),(87,1),(93,1),(94,1),(136,1),(138,1),(141,1)}
        67:{1,2,6,7}:{(43,1),(44,1),(45,1),(57,1),(94,1),(171,1),(200,1)}
        68:{1,5,6,7}:{(44,1),(46,1),(89,1),(95,1)}
        69:{4,6,7}:{(46,1),(91,1)}
        70:{1,2,4}:{(47,1),(48,1),(96,1),(99,1)}
        71:{1,3,4,7}:{(47,1),(49,1),(97,1),(98,1),(103,1),(135,1),(174,1),(199,1)}
        72:{2,3,5}:{(48,1),(50,1),(83,1),(96,1),(99,1),(131,1)}
        73:{1,2,5,7}:{(48,1),(49,1),(84,1),(97,1),(100,1),(101,1),(144,1)}
        74:{1,3,6}:{(49,1),(52,1),(101,1),(104,1),(208,1)}
        75:{3,4}:{(50,1),(55,1),(99,1)}
        76:{3,5,7}:{(50,1),(51,1),(87,1),(103,1),(104,1),(150,1),(174,1),(179,1)}
        77:{1,2,4,6}:{(51,1),(52,1),(53,1),(57,1),(101,1),(104,1),(105,1),(107,1),(140,1),(146,1),(151,1),(171,1),(197,1),(208,1)}
        78:{1,5,6}:{(52,1),(54,1),(89,1)}
        79:{2,5,6}:{(53,1),(54,1),(90,1)}
        80:{4,5,6}:{(54,1),(91,1),(151,1)}
        81:{1,4,7}:{(55,1),(56,1),(103,1),(107,1),(201,1)}
        82:{1,3,6}:{(56,1),(57,1),(104,1),(107,1),(208,1)}
        83:{2,3,6}:{(58,1),(60,1),(72,1),(108,1),(109,1)}
        84:{1,2,7}:{(58,1),(59,1),(109,1)}
        85:{1,3,6,7}:{(59,1),(62,1),(74,1),(110,1),(111,1),(114,1),(119,1)}
        86:{3,4,6}:{(60,1),(65,1),(75,1),(108,1),(112,1),(113,1),(158,1)}
        87:{3,7}:{(60,1),(61,1)}
        88:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(67,1),(77,1),(110,1),(114,1),(115,1),(118,1),(154,1),(156,1),(160,1)}
        89:{1,5,7}:{(62,1),(64,1),(78,1)}
        90:{2,5,7}:{(63,1),(64,1),(79,1)}
        91:{4,5,7}:{(64,1),(69,1),(80,1),(160,1)}
        92:{1,4,5}:{(65,1),(112,1),(130,1),(170,1)}
        93:{1,4,7}:{(65,1),(66,1),(113,1),(160,1)}
        94:{1,3,6,7}:{(66,1),(67,1),(82,1),(114,1),(118,1),(158,1),(188,1)}
        95:{1,4,6,7}:{(68,1),(69,1),(116,1),(119,1)}
        96:{2,3}:{(70,1)}
        97:{1,2,4,7}:{(70,1),(71,1),(73,1),(120,1),(121,1),(123,1)}
        98:{1,3,4,6}:{(71,1),(74,1),(121,1),(122,1),(126,1),(127,1),(168,1),(191,1),(195,1)}
        99:{2,4}:{(72,1),(75,1)}
       100:{2,3,5,7}:{(72,1),(73,1),(76,1),(109,1),(120,1),(123,1),(124,1),(153,1),(163,1),(166,1)}
       101:{1,2,6}:{(73,1),(74,1),(124,1)}
       102:{1,3,5,6}:{(74,1),(78,1),(111,1),(122,1),(125,1),(126,1),(128,1),(129,1),(168,1)}
       103:{3,4,7}:{(75,1),(76,1),(81,1),(123,1),(127,1),(160,1),(191,1)}
       104:{3,6}:{(76,1),(77,1)}
       105:{1,2,5,6}:{(77,1),(78,1),(79,1),(115,1),(128,1),(130,1),(162,1),(166,1),(185,1)}
       106:{1,4,5,6}:{(78,1),(80,1),(116,1),(126,1),(129,1)}
       107:{1,4,6}:{(81,1),(82,1),(127,1),(130,1)}
       108:{2,4,6}:{(83,1),(86,1),(99,1),(131,1),(132,1),(171,1)}
       109:{2,3,7}:{(83,1),(84,1),(87,1),(132,1)}
       110:{1,2,6,7}:{(84,1),(85,1),(101,1),(133,1),(134,1),(142,1),(208,1)}
       111:{1,3,5,7}:{(85,1),(89,1),(102,1),(134,1),(135,1),(138,1),(139,1),(174,1)}
       112:{3,5}:{(86,1),(92,1),(131,1)}
       113:{3,4,7}:{(86,1),(87,1),(93,1),(132,1),(136,1)}
       114:{3,6,7}:{(87,1),(88,1),(104,1),(138,1),(174,1)}
       115:{1,2,5,7}:{(88,1),(89,1),(90,1),(105,1),(138,1),(141,1),(172,1)}
       116:{1,4,5,7}:{(89,1),(91,1),(95,1),(106,1),(135,1),(139,1)}
       117:{1,4,5,7}:{(92,1),(93,1),(136,1),(140,1),(141,1),(177,1)}
       118:{1,4,6,7}:{(93,1),(94,1),(107,1),(137,1),(140,1),(141,1),(199,1),(208,1)}
       119:{3,6,7}:{(95,1),(139,1),(142,1)}
       120:{2,3,7}:{(96,1),(97,1),(143,1),(174,1)}
       121:{1,2,4,6}:{(97,1),(98,1),(101,1),(143,1),(144,1),(146,1),(178,1)}
       122:{1,3,5}:{(98,1),(144,1),(145,1),(150,1),(179,1),(204,1)}
       123:{2,4,7}:{(99,1),(100,1),(103,1),(146,1),(178,1)}
       124:{2,3,6}:{(100,1),(101,1),(104,1),(146,1),(171,1)}
       125:{1,2,5,6}:{(101,1),(102,1),(134,1),(144,1),(147,1),(148,1),(152,1),(204,1),(208,1)}
       126:{1,4,6}:{(102,1),(135,1),(145,1),(149,1),(151,1)}
       127:{3,4,6}:{(103,1),(104,1),(107,1),(146,1),(150,1),(151,1)}
       128:{3,5,6}:{(104,1),(105,1),(138,1),(150,1),(151,1)}
       129:{3,5,6}:{(106,1),(139,1),(149,1),(152,1)}
       130:{1,5}:{(107,1),(150,1)}
       131:{2,5}:{(108,1),(112,1)}
       132:{2,4,7}:{(108,1),(109,1),(113,1),(153,1)}
       133:{2,3,6,7}:{(109,1),(110,1),(114,1),(124,1),(154,1),(155,1),(205,1)}
       134:{1,2,5,7}:{(110,1),(111,1),(125,1),(155,1),(156,1),(161,1),(206,1)}
       135:{1,4,7}:{(111,1),(126,1),(157,1),(160,1)}
       136:{3,5,7}:{(112,1),(113,1),(117,1),(153,1),(158,1)}
       137:{3,4,6,7}:{(113,1),(114,1),(118,1),(127,1),(154,1),(158,1),(159,1),(160,1),(187,1),(190,1),(205,1)}
       138:{3,5,7}:{(114,1),(115,1),(128,1),(160,1)}
       139:{3,5,7}:{(116,1),(119,1),(129,1),(157,1),(161,1)}
       140:{1,4,6}:{(117,1),(158,1),(162,1),(190,1)}
       141:{1,5,7}:{(118,1),(130,1),(159,1),(162,1)}
       142:{2,6,7}:{(119,1),(161,1)}
       143:{2,3,6}:{(120,1),(121,1),(163,1),(168,1)}
       144:{1,2,5}:{(121,1),(122,1),(163,1),(166,1)}
       145:{1,4,5}:{(122,1),(126,1),(165,1),(170,1)}
       146:{2,4,6}:{(123,1),(124,1),(127,1),(166,1)}
       147:{2,3,5,6}:{(124,1),(125,1),(128,1),(155,1),(163,1),(166,1),(167,1),(168,1),(185,1),(194,1),(205,1)}
       148:{1,2,4,6}:{(125,1),(126,1),(156,1),(164,1),(167,1),(168,1),(169,1),(195,1),(196,1)}
       149:{3,4,6}:{(126,1),(129,1),(157,1),(165,1),(168,1),(169,1)}
       150:{3,5}:{(127,1),(130,1),(166,1),(170,1)}
       151:{4,6}:{(128,1),(160,1),(170,1)}
       152:{2,5,6}:{(129,1),(161,1),(169,1)}
       153:{2,5,7}:{(131,1),(132,1),(136,1),(171,1)}
       154:{2,4,6,7}:{(132,1),(133,1),(137,1),(146,1),(171,1),(172,1),(173,1),(197,1)}
       155:{2,3,5,7}:{(133,1),(134,1),(138,1),(147,1),(172,1),(173,1),(174,1),(198,1)}
       156:{1,2,4,7}:{(134,1),(135,1),(148,1),(173,1),(174,1),(175,1),(199,1),(200,1)}
       157:{3,4,7}:{(135,1),(139,1),(149,1),(174,1),(175,1)}
       158:{3,6}:{(136,1),(140,1),(171,1)}
       159:{3,5,7}:{(137,1),(141,1),(150,1),(172,1),(176,1),(177,1)}
       160:{4,7}:{(138,1),(151,1)}
       161:{2,5,7}:{(139,1),(142,1),(152,1),(175,1)}
       162:{1,5,6}:{(140,1),(141,1),(176,1),(208,1)}
       163:{2,3,5}:{(143,1),(144,1),(178,1),(179,1)}
       164:{1,2,4,5}:{(144,1),(145,1),(148,1),(178,1),(179,1),(180,1),(181,1),(201,1),(203,1),(204,1)}
       165:{3,4,5}:{(145,1),(149,1),(179,1),(180,1)}
       166:{2,5}:{(146,1),(150,1)}
       167:{2,4,6}:{(147,1),(151,1),(173,1),(178,1),(181,1),(182,1)}
       168:{3,6}:{(148,1),(174,1),(179,1)}
       169:{2,4,6}:{(149,1),(152,1),(175,1),(180,1),(184,1)}
       170:{4,5}:{(150,1),(151,1)}
       171:{2,6}:{(153,1),(158,1)}
       172:{2,5,7}:{(154,1),(159,1),(166,1),(185,1)}
       173:{2,4,7}:{(155,1),(160,1),(167,1),(187,1)}
       174:{3,7}:{(156,1),(168,1)}
       175:{2,4,7}:{(157,1),(161,1),(169,1),(189,1)}
       176:{3,5,6}:{(158,1),(159,1),(162,1),(185,1),(190,1),(205,1)}
       177:{4,5,7}:{(159,1),(160,1),(170,1),(190,1)}
       178:{2,4}:{(163,1),(191,1)}
       179:{3,5}:{(164,1),(168,1),(191,1)}
       180:{2,4,5}:{(165,1),(169,1),(193,1)}
       181:{2,4,5}:{(166,1),(167,1),(170,1),(194,1)}
       182:{3,4,6}:{(167,1),(168,1),(187,1),(191,1),(194,1),(195,1),(205,1)}
       183:{1,3,6}:{(168,1),(188,1),(192,1),(195,1),(196,1)}
       184:{2,3,6}:{(168,1),(169,1),(189,1),(193,1),(196,1)}
       185:{2,5,6}:{(171,1),(172,1),(176,1),(197,1)}
       186:{2,4,5,7}:{(172,1),(173,1),(177,1),(181,1),(197,1),(198,1)}
       187:{3,4,7}:{(173,1),(174,1),(182,1),(198,1),(199,1)}
       188:{1,3,7}:{(174,1),(183,1),(199,1),(200,1)}
       189:{2,3,7}:{(174,1),(175,1),(184,1),(200,1)}
       190:{4,6}:{(176,1),(177,1)}
       191:{3,4}:{(178,1),(179,1),(201,1)}
       192:{1,3,5}:{(179,1),(183,1),(201,1),(203,1),(204,1),(209,1)}
       193:{2,3,5}:{(179,1),(180,1),(184,1),(202,1),(203,1)}
       194:{3,5}:{(181,1),(182,1),(204,1)}
       195:{1,4,6}:{(182,1),(183,1),(199,1),(201,1),(204,1),(208,1)}
       196:{1,2,6}:{(183,1),(184,1),(200,1),(203,1)}
       197:{2,4,6}:{(185,1),(186,1),(190,1),(205,1)}
       198:{3,5,7}:{(186,1),(187,1),(194,1),(205,1),(206,1)}
       199:{1,4,7}:{(187,1),(188,1),(195,1),(206,1)}
       200:{1,2,7}:{(188,1),(189,1),(196,1)}
       201:{1,4}:{(191,1),(192,1)}
       202:{2,3,4}:{(191,1),(193,1),(207,1)}
       203:{1,2,5}:{(192,1),(193,1),(196,1),(207,1)}
       204:{1,5}:{(194,1),(195,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{1,5,7}:{(198,1),(199,1),(204,1),(208,1)}
       207:{1,2,4}:{(201,1),(202,1),(203,1),(209,1)}
       208:{1,6}:{(205,1),(206,1)}
       209:{1,3}:{(207,1)}

 862 :   0:{3,5,6,7}:{(2,1),(3,1),(4,1),(28,1),(33,1),(37,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(8,1),(37,1),(43,1),(44,1),(48,1),(82,1),(91,1),(154,1),(156,1)}
         2:{1,5,6,7}:{(0,1),(11,1),(61,1),(68,1)}
         3:{2,5,6,7}:{(0,1),(14,1),(54,1),(69,1)}
         4:{4,6,7}:{(0,1),(17,1)}
         5:{4,5,6}:{(17,1),(19,1),(128,1)}
         6:{3,4,6}:{(1,1),(19,1),(20,1),(21,1),(72,1),(128,1)}
         7:{1,4,5,7}:{(1,1),(13,1),(20,1),(68,1),(74,1),(78,1),(110,1),(118,1)}
         8:{2,4,5,7}:{(1,1),(16,1),(21,1),(69,1),(75,1),(79,1),(111,1),(119,1)}
         9:{1,3,4,7}:{(13,1),(23,1),(24,1),(73,1),(110,1),(130,1),(164,1),(196,1)}
        10:{2,3,4,7}:{(16,1),(25,1),(26,1),(73,1),(119,1),(131,1),(171,1),(200,1)}
        11:{1,4,6,7}:{(2,1),(4,1),(27,1),(28,1)}
        12:{1,4,5,6}:{(5,1),(27,1),(29,1),(40,1),(86,1)}
        13:{1,3,5,7}:{(7,1),(9,1),(30,1),(31,1),(43,1),(45,1),(107,1),(146,1),(204,1)}
        14:{2,4,6,7}:{(3,1),(4,1),(32,1),(33,1)}
        15:{2,4,5,6}:{(5,1),(32,1),(34,1),(41,1),(96,1)}
        16:{2,3,5,7}:{(8,1),(10,1),(35,1),(36,1),(43,1),(49,1),(104,1),(138,1),(206,1)}
        17:{4,5,7}:{(4,1),(5,1),(37,1),(154,1)}
        18:{3,4,6,7}:{(4,1),(6,1),(28,1),(33,1),(37,1),(38,1),(39,1),(82,1),(91,1),(101,1),(154,1)}
        19:{3,5,6}:{(5,1),(6,1),(37,1),(40,1),(41,1)}
        20:{1,4,6}:{(6,1),(7,1),(30,1),(40,1)}
        21:{2,4,6}:{(6,1),(8,1),(35,1),(41,1)}
        22:{1,2,4,5,7}:{(7,1),(8,1),(31,1),(36,1),(42,1),(43,1),(90,1),(99,1),(100,1),(105,1),(108,1),(139,1),(145,1),(147,1),(153,1),(154,1),(156,1),(185,1),(191,1),(204,1),(206,1)}
        23:{1,3,4,6}:{(9,1),(30,1),(45,1),(46,1),(86,1),(103,1),(143,1),(160,1),(187,1)}
        24:{1,2,4,7}:{(9,1),(31,1),(46,1),(47,1),(90,1),(157,1)}
        25:{2,3,4,6}:{(10,1),(35,1),(49,1),(50,1),(96,1),(103,1),(151,1),(162,1),(193,1)}
        26:{1,2,4,7}:{(10,1),(36,1),(50,1),(51,1),(99,1),(158,1)}
        27:{1,4,5,7}:{(11,1),(12,1),(17,1),(52,1),(68,1),(110,1)}
        28:{3,6,7}:{(11,1),(52,1),(54,1)}
        29:{3,5,6}:{(12,1),(52,1),(55,1),(57,1)}
        30:{1,3,6}:{(13,1),(20,1),(58,1),(72,1),(208,1)}
        31:{1,2,5,7}:{(13,1),(24,1),(58,1),(59,1),(76,1),(135,1),(170,1)}
        32:{2,4,5,7}:{(14,1),(15,1),(17,1),(60,1),(69,1),(119,1)}
        33:{3,6,7}:{(14,1),(60,1),(61,1)}
        34:{3,5,6}:{(15,1),(60,1),(63,1),(64,1)}
        35:{2,3,6}:{(16,1),(21,1),(66,1),(72,1),(209,1)}
        36:{1,2,5,7}:{(16,1),(26,1),(66,1),(67,1),(80,1),(132,1),(163,1)}
        37:{3,5,7}:{(17,1),(18,1),(19,1),(68,1),(69,1)}
        38:{1,4,6,7}:{(18,1),(20,1),(53,1),(61,1),(68,1),(110,1),(118,1)}
        39:{2,4,6,7}:{(18,1),(21,1),(54,1),(62,1),(69,1),(111,1),(119,1)}
        40:{1,5,6}:{(19,1),(20,1),(68,1)}
        41:{2,5,6}:{(19,1),(21,1),(69,1)}
        42:{1,2,4,6}:{(20,1),(21,1),(22,1),(58,1),(66,1),(71,1),(72,1),(117,1),(125,1),(128,1),(198,1),(202,1),(208,1),(209,1)}
        43:{3,5,7}:{(22,1),(72,1),(73,1),(129,1),(133,1),(136,1),(164,1),(171,1)}
        44:{3,4,5}:{(55,1),(74,1),(75,1),(133,1)}
        45:{1,3,5}:{(23,1),(74,1),(76,1),(129,1),(133,1),(199,1)}
        46:{1,2,4,6}:{(23,1),(24,1),(58,1),(76,1),(77,1),(117,1),(134,1)}
        47:{2,3,7}:{(24,1),(77,1),(164,1),(179,1)}
        48:{3,4,5}:{(63,1),(78,1),(79,1),(136,1)}
        49:{2,3,5}:{(25,1),(79,1),(80,1),(129,1),(136,1),(203,1)}
        50:{1,2,4,6}:{(25,1),(26,1),(66,1),(80,1),(81,1),(125,1),(137,1)}
        51:{1,3,7}:{(26,1),(81,1),(171,1),(180,1)}
        52:{3,5,7}:{(27,1),(28,1),(29,1),(82,1),(84,1)}
        53:{1,3,6,7}:{(28,1),(30,1),(38,1),(83,1),(85,1),(101,1),(146,1)}
        54:{2,6,7}:{(28,1),(84,1)}
        55:{3,4,6}:{(29,1),(44,1),(82,1),(86,1),(87,1),(143,1)}
        56:{1,3,5,6}:{(29,1),(30,1),(40,1),(45,1),(83,1),(86,1),(88,1),(102,1),(143,1)}
        57:{2,5,6}:{(29,1),(84,1),(87,1)}
        58:{1,2,6}:{(30,1),(31,1),(89,1)}
        59:{2,3,5,7}:{(31,1),(43,1),(47,1),(89,1),(90,1),(106,1),(145,1),(161,1),(189,1),(206,1)}
        60:{3,5,7}:{(32,1),(33,1),(34,1),(91,1),(92,1)}
        61:{1,6,7}:{(33,1),(92,1)}
        62:{2,3,6,7}:{(33,1),(35,1),(39,1),(93,1),(94,1),(101,1),(138,1)}
        63:{3,4,6}:{(34,1),(48,1),(91,1),(95,1),(96,1),(151,1)}
        64:{1,5,6}:{(34,1),(92,1),(95,1)}
        65:{2,3,5,6}:{(34,1),(35,1),(41,1),(49,1),(93,1),(96,1),(97,1),(102,1),(151,1)}
        66:{1,2,6}:{(35,1),(36,1),(98,1)}
        67:{1,3,5,7}:{(36,1),(43,1),(51,1),(98,1),(99,1),(109,1),(153,1),(159,1),(183,1),(204,1)}
        68:{1,5,7}:{(37,1),(38,1),(40,1)}
        69:{2,5,7}:{(37,1),(39,1),(41,1)}
        70:{1,2,4,6,7}:{(38,1),(39,1),(42,1),(85,1),(94,1),(100,1),(101,1),(139,1),(141,1),(147,1),(149,1),(154,1)}
        71:{1,2,5,6}:{(40,1),(41,1),(42,1),(100,1),(102,1),(145,1),(153,1),(186,1),(192,1)}
        72:{3,6}:{(42,1),(43,1)}
        73:{3,4,7}:{(43,1),(90,1),(99,1),(103,1),(154,1),(160,1),(162,1)}
        74:{1,4,5}:{(44,1),(45,1),(86,1),(156,1)}
        75:{2,4,5}:{(44,1),(87,1),(104,1)}
        76:{1,2,5}:{(45,1),(46,1),(106,1),(145,1)}
        77:{2,3,6}:{(46,1),(47,1),(106,1),(143,1)}
        78:{1,4,5}:{(48,1),(95,1),(107,1)}
        79:{2,4,5}:{(48,1),(49,1),(96,1),(156,1)}
        80:{1,2,5}:{(49,1),(50,1),(109,1),(153,1)}
        81:{1,3,6}:{(50,1),(51,1),(109,1),(151,1)}
        82:{3,4,7}:{(52,1),(55,1),(110,1),(111,1),(164,1)}
        83:{1,3,5,7}:{(52,1),(53,1),(56,1),(68,1),(110,1),(112,1),(126,1),(164,1)}
        84:{2,5,7}:{(52,1),(54,1),(57,1),(111,1)}
        85:{1,2,6,7}:{(53,1),(54,1),(58,1),(112,1),(113,1),(170,1),(208,1)}
        86:{1,4,6}:{(55,1),(56,1),(74,1),(110,1),(128,1)}
        87:{2,4,6}:{(55,1),(57,1),(75,1),(111,1),(114,1)}
        88:{1,2,5,6}:{(56,1),(57,1),(58,1),(76,1),(112,1),(115,1),(116,1),(199,1),(208,1)}
        89:{2,3,6}:{(58,1),(59,1),(72,1),(117,1),(209,1)}
        90:{2,4,7}:{(59,1),(73,1),(117,1),(134,1),(182,1)}
        91:{3,4,7}:{(60,1),(63,1),(118,1),(119,1),(171,1)}
        92:{1,5,7}:{(60,1),(61,1),(64,1),(118,1)}
        93:{2,3,5,7}:{(60,1),(62,1),(65,1),(69,1),(119,1),(120,1),(126,1),(171,1)}
        94:{1,2,6,7}:{(61,1),(62,1),(66,1),(120,1),(121,1),(163,1),(209,1)}
        95:{1,4,6}:{(63,1),(64,1),(78,1),(118,1),(122,1)}
        96:{2,4,6}:{(63,1),(65,1),(79,1),(119,1),(128,1)}
        97:{1,2,5,6}:{(64,1),(65,1),(66,1),(80,1),(120,1),(123,1),(124,1),(203,1),(209,1)}
        98:{1,3,6}:{(66,1),(67,1),(72,1),(125,1),(208,1)}
        99:{1,4,7}:{(67,1),(73,1),(125,1),(137,1),(181,1)}
       100:{1,2,5,7}:{(68,1),(69,1),(70,1),(71,1),(126,1),(166,1),(173,1)}
       101:{3,6,7}:{(70,1),(72,1),(126,1),(164,1),(171,1)}
       102:{3,5,6}:{(71,1),(72,1),(126,1),(128,1),(129,1)}
       103:{3,4,6}:{(72,1),(73,1),(117,1),(125,1),(128,1),(129,1)}
       104:{2,3,5}:{(75,1),(114,1),(131,1),(132,1),(133,1)}
       105:{1,2,4,5}:{(74,1),(75,1),(76,1),(115,1),(132,1),(133,1),(134,1),(169,1),(181,1),(199,1)}
       106:{2,3,5}:{(76,1),(77,1),(133,1),(134,1)}
       107:{1,3,5}:{(78,1),(122,1),(130,1),(135,1),(136,1)}
       108:{1,2,4,5}:{(78,1),(79,1),(80,1),(123,1),(135,1),(136,1),(137,1),(176,1),(182,1),(203,1)}
       109:{1,3,5}:{(80,1),(81,1),(136,1),(137,1)}
       110:{1,4,7}:{(82,1),(83,1),(86,1),(154,1)}
       111:{2,4,7}:{(82,1),(84,1),(87,1),(138,1)}
       112:{1,2,5,7}:{(83,1),(84,1),(85,1),(88,1),(139,1),(140,1),(204,1)}
       113:{2,3,6,7}:{(85,1),(89,1),(101,1),(140,1),(141,1),(189,1),(205,1)}
       114:{2,3,6}:{(87,1),(104,1),(138,1),(142,1),(143,1)}
       115:{1,2,4,6}:{(86,1),(87,1),(88,1),(105,1),(139,1),(142,1),(143,1),(144,1),(187,1)}
       116:{2,3,5,6}:{(88,1),(89,1),(102,1),(106,1),(140,1),(143,1),(144,1),(145,1),(186,1),(188,1),(205,1)}
       117:{2,4,6}:{(89,1),(90,1),(103,1),(145,1)}
       118:{1,4,7}:{(91,1),(92,1),(95,1),(146,1)}
       119:{2,4,7}:{(91,1),(93,1),(96,1),(154,1)}
       120:{1,2,5,7}:{(92,1),(93,1),(94,1),(97,1),(147,1),(148,1),(206,1)}
       121:{1,3,6,7}:{(94,1),(98,1),(101,1),(148,1),(149,1),(183,1),(207,1)}
       122:{1,3,6}:{(95,1),(107,1),(146,1),(150,1),(151,1)}
       123:{1,2,4,6}:{(95,1),(96,1),(97,1),(108,1),(147,1),(150,1),(151,1),(152,1),(193,1)}
       124:{1,3,5,6}:{(97,1),(98,1),(102,1),(109,1),(148,1),(151,1),(152,1),(153,1),(192,1),(194,1),(207,1)}
       125:{1,4,6}:{(98,1),(99,1),(103,1),(153,1)}
       126:{3,5,7}:{(100,1),(101,1),(102,1),(154,1)}
       127:{3,4,6,7}:{(101,1),(103,1),(141,1),(149,1),(154,1),(155,1),(184,1),(190,1),(195,1),(205,1),(207,1)}
       128:{4,6}:{(102,1),(154,1),(156,1)}
       129:{3,5}:{(103,1),(145,1),(153,1),(156,1)}
       130:{1,3,4}:{(107,1),(157,1),(162,1)}
       131:{2,3,4}:{(104,1),(158,1),(160,1)}
       132:{1,2,5}:{(104,1),(142,1),(158,1),(159,1)}
       133:{3,5}:{(105,1),(143,1),(160,1)}
       134:{2,4}:{(106,1),(160,1)}
       135:{1,2,5}:{(107,1),(150,1),(157,1),(161,1)}
       136:{3,5}:{(108,1),(151,1),(162,1)}
       137:{1,4}:{(109,1),(162,1)}
       138:{2,3,7}:{(111,1),(114,1),(163,1),(164,1)}
       139:{1,2,4,7}:{(110,1),(111,1),(112,1),(115,1),(163,1),(164,1),(165,1),(196,1)}
       140:{2,3,5,7}:{(112,1),(113,1),(116,1),(126,1),(164,1),(165,1),(166,1),(197,1)}
       141:{2,4,6,7}:{(113,1),(117,1),(127,1),(165,1),(166,1),(198,1),(200,1),(209,1)}
       142:{1,2,6}:{(114,1),(132,1),(163,1),(167,1)}
       143:{3,6}:{(115,1),(133,1),(164,1)}
       144:{2,4,6}:{(116,1),(128,1),(134,1),(165,1),(168,1),(169,1)}
       145:{2,5}:{(117,1),(129,1)}
       146:{1,3,7}:{(118,1),(122,1),(170,1),(171,1)}
       147:{1,2,4,7}:{(118,1),(119,1),(120,1),(123,1),(170,1),(171,1),(172,1),(200,1)}
       148:{1,3,5,7}:{(120,1),(121,1),(124,1),(126,1),(171,1),(172,1),(173,1),(201,1)}
       149:{1,4,6,7}:{(121,1),(125,1),(127,1),(172,1),(173,1),(196,1),(202,1),(208,1)}
       150:{1,2,6}:{(122,1),(135,1),(170,1),(174,1)}
       151:{3,6}:{(123,1),(136,1),(171,1)}
       152:{1,4,6}:{(124,1),(128,1),(137,1),(172,1),(175,1),(176,1)}
       153:{1,5}:{(125,1),(129,1)}
       154:{4,7}:{(126,1),(128,1)}
       155:{3,5,7}:{(127,1),(129,1),(166,1),(173,1),(177,1),(178,1)}
       156:{4,5}:{(128,1),(129,1)}
       157:{1,2,4}:{(130,1),(135,1),(179,1),(182,1)}
       158:{1,2,4}:{(131,1),(132,1),(180,1),(181,1)}
       159:{1,3,5}:{(132,1),(133,1),(167,1),(180,1),(181,1),(199,1)}
       160:{3,4}:{(133,1),(134,1),(181,1)}
       161:{2,3,5}:{(135,1),(136,1),(174,1),(179,1),(182,1),(203,1)}
       162:{3,4}:{(136,1),(137,1),(182,1)}
       163:{1,2,7}:{(138,1),(142,1),(183,1)}
       164:{3,7}:{(139,1),(143,1)}
       165:{2,4,7}:{(140,1),(144,1),(154,1),(184,1)}
       166:{2,5,7}:{(141,1),(145,1),(155,1),(186,1)}
       167:{1,3,6}:{(142,1),(143,1),(159,1),(183,1),(187,1)}
       168:{3,4,6}:{(143,1),(144,1),(160,1),(184,1),(187,1),(188,1),(205,1)}
       169:{2,4,5}:{(144,1),(145,1),(156,1),(188,1)}
       170:{1,2,7}:{(146,1),(150,1),(189,1)}
       171:{3,7}:{(147,1),(151,1)}
       172:{1,4,7}:{(148,1),(152,1),(154,1),(190,1)}
       173:{1,5,7}:{(149,1),(153,1),(155,1),(192,1)}
       174:{2,3,6}:{(150,1),(151,1),(161,1),(189,1),(193,1)}
       175:{3,4,6}:{(151,1),(152,1),(162,1),(190,1),(193,1),(194,1),(207,1)}
       176:{1,4,5}:{(152,1),(153,1),(156,1),(194,1)}
       177:{4,5,7}:{(154,1),(155,1),(156,1),(195,1)}
       178:{3,5,6}:{(155,1),(186,1),(192,1),(195,1),(205,1),(207,1)}
       179:{2,3}:{(157,1)}
       180:{1,3}:{(158,1)}
       181:{1,4}:{(159,1),(160,1)}
       182:{2,4}:{(161,1),(162,1)}
       183:{1,3,7}:{(163,1),(164,1),(167,1),(196,1)}
       184:{3,4,7}:{(164,1),(165,1),(168,1),(196,1),(197,1)}
       185:{2,4,5,7}:{(165,1),(166,1),(169,1),(177,1),(197,1),(198,1)}
       186:{2,5,6}:{(166,1),(178,1),(198,1),(209,1)}
       187:{1,4,6}:{(167,1),(168,1),(181,1),(196,1),(199,1),(208,1)}
       188:{3,5}:{(168,1),(169,1),(199,1)}
       189:{2,3,7}:{(170,1),(171,1),(174,1),(200,1)}
       190:{3,4,7}:{(171,1),(172,1),(175,1),(200,1),(201,1)}
       191:{1,4,5,7}:{(172,1),(173,1),(176,1),(177,1),(201,1),(202,1)}
       192:{1,5,6}:{(173,1),(178,1),(202,1),(208,1)}
       193:{2,4,6}:{(174,1),(175,1),(182,1),(200,1),(203,1),(209,1)}
       194:{3,5}:{(175,1),(176,1),(203,1)}
       195:{4,6}:{(177,1),(178,1)}
       196:{1,4,7}:{(183,1),(184,1),(187,1),(204,1)}
       197:{3,5,7}:{(184,1),(185,1),(188,1),(204,1),(205,1)}
       198:{2,4,6}:{(185,1),(186,1),(195,1),(205,1)}
       199:{1,5}:{(187,1),(188,1)}
       200:{2,4,7}:{(189,1),(190,1),(193,1),(206,1)}
       201:{3,5,7}:{(190,1),(191,1),(194,1),(206,1),(207,1)}
       202:{1,4,6}:{(191,1),(192,1),(195,1),(207,1)}
       203:{2,5}:{(193,1),(194,1)}
       204:{1,5,7}:{(196,1),(197,1),(199,1),(208,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{2,5,7}:{(200,1),(201,1),(203,1),(209,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{1,6}:{(204,1),(205,1)}
       209:{2,6}:{(206,1),(207,1)}

 863 :  0:{1,2,5,6}:{(2,1),(3,1),(4,1),(34,1),(35,1),(53,1),(54,1)}
        1:{1,2,4,5}:{(3,1),(5,1),(14,1),(21,1),(22,1),(23,1),(34,1),(35,1)}
        2:{3,5,6}:{(0,1),(6,1),(7,1),(8,1),(24,1),(47,1),(48,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(6,1),(8,1),(9,1),(26,1),(27,1),(30,1)}
        4:{1,2,5,7}:{(0,1),(7,1),(9,1),(10,1),(45,1),(46,1)}
        5:{3,5}:{(1,1),(8,1),(11,1)}
        6:{4,6}:{(2,1),(14,1),(16,1)}
        7:{3,5,7}:{(2,1),(4,1),(16,1),(17,1),(20,1),(41,1)}
        8:{3,6}:{(3,1),(5,1),(20,1)}
        9:{1,2,4,7}:{(3,1),(4,1),(16,1),(20,1),(39,1),(40,1),(42,1)}
       10:{1,2,6,7}:{(4,1),(17,1),(53,1),(54,1)}
       11:{3,4}:{(5,1),(21,1),(22,1),(43,1)}
       12:{1,3,5}:{(5,1),(18,1),(21,1),(23,1),(34,1),(43,1),(51,1)}
       13:{2,3,5}:{(5,1),(19,1),(22,1),(23,1),(35,1),(43,1),(51,1)}
       14:{4,5}:{(6,1),(24,1),(56,1)}
       15:{3,4,6}:{(6,1),(8,1),(11,1),(24,1),(26,1),(27,1),(28,1),(47,1),(49,1),(56,1),(61,1)}
       16:{4,7}:{(6,1),(7,1)}
       17:{3,6,7}:{(7,1),(10,1),(29,1),(47,1)}
       18:{1,3,6}:{(8,1),(12,1),(26,1),(30,1),(31,1),(49,1)}
       19:{2,3,6}:{(8,1),(13,1),(27,1),(30,1),(32,1),(49,1)}
       20:{3,7}:{(8,1),(9,1)}
       21:{1,4}:{(11,1),(12,1),(56,1)}
       22:{2,4}:{(11,1),(13,1),(56,1)}
       23:{1,2,5}:{(12,1),(13,1),(30,1),(33,1)}
       24:{3,5}:{(14,1),(15,1),(34,1),(35,1),(62,1)}
       25:{4,5,7}:{(14,1),(16,1),(36,1),(37,1),(41,1),(59,1),(62,1)}
       26:{1,4,6}:{(15,1),(18,1),(21,1),(34,1),(39,1),(53,1)}
       27:{2,4,6}:{(15,1),(19,1),(22,1),(35,1),(40,1),(54,1)}
       28:{3,4,7}:{(15,1),(16,1),(20,1),(36,1),(39,1),(40,1),(55,1),(59,1)}
       29:{4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
       30:{1,2,6}:{(18,1),(19,1),(23,1),(42,1)}
       31:{1,3,7}:{(18,1),(20,1),(39,1),(42,1),(55,1)}
       32:{2,3,7}:{(19,1),(20,1),(40,1),(42,1),(55,1)}
       33:{1,2,4}:{(21,1),(22,1),(23,1),(43,1)}
       34:{1,5}:{(24,1),(26,1)}
       35:{2,5}:{(24,1),(27,1)}
       36:{3,5,7}:{(24,1),(25,1),(28,1),(45,1),(46,1),(47,1)}
       37:{4,6}:{(25,1),(47,1),(48,1)}
       38:{1,2,4,6}:{(26,1),(27,1),(30,1),(33,1),(44,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       39:{1,4,7}:{(26,1),(28,1),(31,1),(45,1)}
       40:{2,4,7}:{(27,1),(28,1),(32,1),(46,1)}
       41:{5,7}:{(29,1),(48,1)}
       42:{1,2,7}:{(30,1),(31,1),(32,1)}
       43:{3}:{(33,1)}
       44:{1,2,5}:{(34,1),(35,1),(38,1),(51,1),(62,1)}
       45:{1,5,7}:{(34,1),(36,1),(39,1),(53,1)}
       46:{2,5,7}:{(35,1),(36,1),(40,1),(54,1)}
       47:{3,6}:{(36,1),(37,1),(53,1),(54,1)}
       48:{5,6}:{(37,1),(41,1),(62,1)}
       49:{3,6}:{(38,1),(43,1),(51,1),(55,1)}
       50:{1,2,4,7}:{(38,1),(39,1),(40,1),(42,1),(52,1),(55,1),(59,1)}
       51:{3,5}:{(44,1),(49,1),(56,1)}
       52:{1,2,5,7}:{(44,1),(45,1),(46,1),(50,1),(57,1),(58,1)}
       53:{1,6}:{(45,1),(47,1)}
       54:{2,6}:{(46,1),(47,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{4}:{(51,1)}
       57:{3,5,7}:{(51,1),(52,1),(55,1),(59,1),(60,1),(62,1)}
       58:{1,2,6}:{(52,1),(53,1),(54,1),(60,1)}
       59:{4,7}:{(56,1),(57,1),(61,1)}
       60:{3,6}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 864 :   0:{3,4,5,7}:{(1,1),(2,1),(3,1),(20,1),(28,1),(88,1),(91,1),(125,1),(129,1),(131,1),(142,1)}
         1:{1,4,5,7}:{(0,1),(8,1),(11,1),(42,1),(60,1),(94,1),(121,1),(156,1)}
         2:{2,4,5,7}:{(0,1),(9,1),(12,1),(43,1),(63,1),(97,1),(118,1),(152,1)}
         3:{3,4,6}:{(0,1),(11,1),(12,1),(13,1),(54,1),(113,1)}
         4:{1,3,4,7}:{(8,1),(14,1),(15,1),(53,1),(94,1),(151,1),(170,1),(194,1)}
         5:{2,3,4,7}:{(9,1),(16,1),(17,1),(53,1),(97,1),(155,1),(168,1),(198,1)}
         6:{3,4,6,7}:{(3,1),(18,1),(19,1),(20,1),(23,1),(68,1),(72,1),(73,1),(125,1),(129,1),(131,1)}
         7:{3,5,6,7}:{(20,1),(21,1),(22,1),(23,1),(72,1),(73,1)}
         8:{1,3,5,7}:{(1,1),(4,1),(24,1),(25,1),(28,1),(35,1),(147,1),(181,1),(205,1)}
         9:{2,3,5,7}:{(2,1),(5,1),(26,1),(27,1),(28,1),(38,1),(145,1),(177,1),(207,1)}
        10:{1,2,4,5,7}:{(1,1),(2,1),(24,1),(26,1),(28,1),(29,1),(69,1),(74,1),(78,1),(87,1),(90,1),(124,1),(128,1),(131,1),(134,1),(138,1),(142,1),(174,1),(179,1),(205,1),(207,1)}
        11:{1,4,6}:{(1,1),(3,1),(25,1),(30,1)}
        12:{2,4,6}:{(2,1),(3,1),(27,1),(31,1)}
        13:{3,5,6}:{(3,1),(20,1),(30,1),(31,1),(32,1)}
        14:{1,2,4,7}:{(4,1),(24,1),(33,1),(34,1),(74,1),(191,1)}
        15:{1,3,4,6}:{(4,1),(25,1),(34,1),(35,1),(77,1),(82,1),(136,1),(143,1),(185,1)}
        16:{1,2,4,7}:{(5,1),(26,1),(36,1),(37,1),(78,1),(190,1)}
        17:{2,3,4,6}:{(5,1),(27,1),(37,1),(38,1),(81,1),(82,1),(140,1),(146,1),(188,1)}
        18:{1,4,6,7}:{(6,1),(11,1),(39,1),(42,1),(94,1),(103,1),(156,1)}
        19:{2,4,6,7}:{(6,1),(12,1),(40,1),(43,1),(97,1),(102,1),(152,1)}
        20:{3,5,7}:{(6,1),(13,1),(42,1),(43,1),(44,1)}
        21:{1,5,6,7}:{(7,1),(42,1),(45,1),(103,1)}
        22:{2,5,6,7}:{(7,1),(43,1),(46,1),(102,1)}
        23:{4,6,7}:{(7,1),(44,1)}
        24:{1,2,5,7}:{(8,1),(14,1),(47,1),(48,1),(59,1),(172,1),(199,1)}
        25:{1,3,6}:{(8,1),(11,1),(48,1),(54,1),(208,1)}
        26:{1,2,5,7}:{(9,1),(16,1),(50,1),(51,1),(62,1),(169,1),(195,1)}
        27:{2,3,6}:{(9,1),(12,1),(51,1),(54,1),(209,1)}
        28:{3,5,7}:{(10,1),(53,1),(54,1),(112,1),(117,1),(120,1),(151,1),(155,1)}
        29:{1,2,4,6}:{(10,1),(11,1),(12,1),(48,1),(51,1),(54,1),(55,1),(104,1),(108,1),(113,1),(192,1),(196,1),(208,1),(209,1)}
        30:{1,5,6}:{(11,1),(13,1),(42,1)}
        31:{2,5,6}:{(12,1),(13,1),(43,1)}
        32:{4,5,6}:{(13,1),(44,1),(113,1)}
        33:{2,3,7}:{(14,1),(58,1),(151,1),(203,1)}
        34:{1,2,4,6}:{(14,1),(15,1),(48,1),(58,1),(59,1),(104,1),(116,1)}
        35:{1,3,5}:{(15,1),(59,1),(60,1),(112,1),(117,1),(200,1)}
        36:{1,3,7}:{(16,1),(61,1),(155,1),(202,1)}
        37:{1,2,4,6}:{(16,1),(17,1),(51,1),(61,1),(62,1),(108,1),(119,1)}
        38:{2,3,5}:{(17,1),(62,1),(63,1),(112,1),(120,1),(201,1)}
        39:{1,3,6,7}:{(18,1),(25,1),(64,1),(65,1),(68,1),(72,1),(181,1)}
        40:{2,3,6,7}:{(19,1),(27,1),(66,1),(67,1),(68,1),(73,1),(177,1)}
        41:{1,2,4,6,7}:{(18,1),(19,1),(29,1),(64,1),(66,1),(68,1),(69,1),(122,1),(124,1),(126,1),(128,1),(131,1)}
        42:{1,5,7}:{(18,1),(20,1),(30,1)}
        43:{2,5,7}:{(19,1),(20,1),(31,1)}
        44:{4,5,7}:{(20,1),(23,1),(32,1),(131,1)}
        45:{1,4,6,7}:{(21,1),(23,1),(70,1),(72,1)}
        46:{2,4,6,7}:{(22,1),(23,1),(71,1),(73,1)}
        47:{2,3,5,7}:{(24,1),(28,1),(33,1),(74,1),(75,1),(86,1),(134,1),(148,1),(182,1),(207,1)}
        48:{1,2,6}:{(24,1),(25,1),(75,1)}
        49:{1,3,5,6}:{(25,1),(30,1),(35,1),(65,1),(76,1),(77,1),(83,1),(84,1),(136,1)}
        50:{1,3,5,7}:{(26,1),(28,1),(36,1),(78,1),(79,1),(89,1),(138,1),(144,1),(176,1),(205,1)}
        51:{1,2,6}:{(26,1),(27,1),(79,1)}
        52:{2,3,5,6}:{(27,1),(31,1),(38,1),(67,1),(80,1),(81,1),(83,1),(85,1),(140,1)}
        53:{3,4,7}:{(28,1),(74,1),(78,1),(82,1),(131,1),(143,1),(146,1)}
        54:{3,6}:{(28,1),(29,1)}
        55:{1,2,5,6}:{(29,1),(30,1),(31,1),(69,1),(83,1),(134,1),(138,1),(173,1),(178,1)}
        56:{1,4,5,6}:{(30,1),(32,1),(70,1),(77,1),(84,1)}
        57:{2,4,5,6}:{(31,1),(32,1),(71,1),(81,1),(85,1)}
        58:{2,3,6}:{(33,1),(34,1),(86,1),(136,1)}
        59:{1,2,5}:{(34,1),(35,1),(86,1),(134,1)}
        60:{1,4,5}:{(35,1),(77,1),(88,1),(142,1)}
        61:{1,3,6}:{(36,1),(37,1),(89,1),(140,1)}
        62:{1,2,5}:{(37,1),(38,1),(89,1),(138,1)}
        63:{2,4,5}:{(38,1),(81,1),(91,1),(142,1)}
        64:{1,2,6,7}:{(39,1),(48,1),(92,1),(93,1),(102,1),(199,1),(208,1)}
        65:{1,3,5,7}:{(39,1),(42,1),(49,1),(93,1),(94,1),(99,1),(100,1),(151,1)}
        66:{1,2,6,7}:{(40,1),(51,1),(95,1),(96,1),(103,1),(195,1),(209,1)}
        67:{2,3,5,7}:{(40,1),(43,1),(52,1),(96,1),(97,1),(99,1),(101,1),(155,1)}
        68:{3,6,7}:{(41,1),(54,1),(99,1),(151,1),(155,1)}
        69:{1,2,5,7}:{(41,1),(42,1),(43,1),(55,1),(99,1),(149,1),(153,1)}
        70:{1,4,5,7}:{(42,1),(44,1),(45,1),(56,1),(94,1),(100,1)}
        71:{2,4,5,7}:{(43,1),(44,1),(46,1),(57,1),(97,1),(101,1)}
        72:{3,6,7}:{(45,1),(100,1),(102,1)}
        73:{3,6,7}:{(46,1),(101,1),(103,1)}
        74:{2,4,7}:{(47,1),(53,1),(104,1),(116,1),(171,1)}
        75:{2,3,6}:{(47,1),(48,1),(54,1),(104,1),(209,1)}
        76:{1,2,5,6}:{(48,1),(49,1),(59,1),(93,1),(105,1),(106,1),(114,1),(200,1),(208,1)}
        77:{1,4,6}:{(49,1),(60,1),(94,1),(107,1),(113,1)}
        78:{1,4,7}:{(50,1),(53,1),(108,1),(119,1),(167,1)}
        79:{1,3,6}:{(50,1),(51,1),(54,1),(108,1),(208,1)}
        80:{1,2,5,6}:{(51,1),(52,1),(62,1),(96,1),(109,1),(110,1),(115,1),(201,1),(209,1)}
        81:{2,4,6}:{(52,1),(63,1),(97,1),(111,1),(113,1)}
        82:{3,4,6}:{(53,1),(54,1),(104,1),(108,1),(112,1),(113,1)}
        83:{3,5,6}:{(54,1),(55,1),(99,1),(112,1),(113,1)}
        84:{3,5,6}:{(56,1),(100,1),(107,1),(114,1)}
        85:{3,5,6}:{(57,1),(101,1),(111,1),(115,1)}
        86:{2,3,5}:{(58,1),(59,1),(116,1),(117,1)}
        87:{1,2,4,5}:{(59,1),(60,1),(106,1),(116,1),(117,1),(118,1),(159,1),(167,1),(169,1),(200,1)}
        88:{3,4,5}:{(60,1),(107,1),(117,1),(118,1)}
        89:{1,3,5}:{(61,1),(62,1),(119,1),(120,1)}
        90:{1,2,4,5}:{(62,1),(63,1),(110,1),(119,1),(120,1),(121,1),(163,1),(171,1),(172,1),(201,1)}
        91:{3,4,5}:{(63,1),(111,1),(120,1),(121,1)}
        92:{2,3,6,7}:{(64,1),(68,1),(75,1),(122,1),(123,1),(182,1),(204,1)}
        93:{1,2,5,7}:{(64,1),(65,1),(76,1),(123,1),(124,1),(132,1),(205,1)}
        94:{1,4,7}:{(65,1),(77,1),(125,1),(131,1)}
        95:{1,3,6,7}:{(66,1),(68,1),(79,1),(126,1),(127,1),(176,1),(206,1)}
        96:{1,2,5,7}:{(66,1),(67,1),(80,1),(127,1),(128,1),(133,1),(207,1)}
        97:{2,4,7}:{(67,1),(81,1),(129,1),(131,1)}
        98:{3,4,6,7}:{(68,1),(82,1),(122,1),(126,1),(130,1),(131,1),(175,1),(180,1),(183,1),(204,1),(206,1)}
        99:{3,5,7}:{(68,1),(69,1),(83,1),(131,1)}
       100:{3,5,7}:{(70,1),(72,1),(84,1),(125,1),(132,1)}
       101:{3,5,7}:{(71,1),(73,1),(85,1),(129,1),(133,1)}
       102:{2,6,7}:{(72,1),(132,1)}
       103:{1,6,7}:{(73,1),(133,1)}
       104:{2,4,6}:{(74,1),(75,1),(82,1),(134,1)}
       105:{2,3,5,6}:{(75,1),(76,1),(83,1),(86,1),(123,1),(134,1),(135,1),(136,1),(173,1),(184,1),(204,1)}
       106:{1,2,4,6}:{(76,1),(77,1),(87,1),(124,1),(135,1),(136,1),(137,1),(185,1),(186,1)}
       107:{3,4,6}:{(77,1),(84,1),(88,1),(125,1),(136,1),(137,1)}
       108:{1,4,6}:{(78,1),(79,1),(82,1),(138,1)}
       109:{1,3,5,6}:{(79,1),(80,1),(83,1),(89,1),(127,1),(138,1),(139,1),(140,1),(178,1),(187,1),(206,1)}
       110:{1,2,4,6}:{(80,1),(81,1),(90,1),(128,1),(139,1),(140,1),(141,1),(188,1),(189,1)}
       111:{3,4,6}:{(81,1),(85,1),(91,1),(129,1),(140,1),(141,1)}
       112:{3,5}:{(82,1),(134,1),(138,1),(142,1)}
       113:{4,6}:{(83,1),(131,1),(142,1)}
       114:{2,5,6}:{(84,1),(132,1),(137,1)}
       115:{1,5,6}:{(85,1),(133,1),(141,1)}
       116:{2,4}:{(86,1),(143,1)}
       117:{3,5}:{(87,1),(136,1),(143,1)}
       118:{2,4,5}:{(88,1),(137,1),(145,1)}
       119:{1,4}:{(89,1),(146,1)}
       120:{3,5}:{(90,1),(140,1),(146,1)}
       121:{1,4,5}:{(91,1),(141,1),(147,1)}
       122:{2,4,6,7}:{(92,1),(98,1),(104,1),(149,1),(150,1),(192,1),(198,1),(209,1)}
       123:{2,3,5,7}:{(92,1),(93,1),(99,1),(105,1),(149,1),(150,1),(151,1),(193,1)}
       124:{1,2,4,7}:{(93,1),(94,1),(106,1),(150,1),(151,1),(152,1),(194,1),(195,1)}
       125:{3,4,7}:{(94,1),(100,1),(107,1),(151,1),(152,1)}
       126:{1,4,6,7}:{(95,1),(98,1),(108,1),(153,1),(154,1),(194,1),(196,1),(208,1)}
       127:{1,3,5,7}:{(95,1),(96,1),(99,1),(109,1),(153,1),(154,1),(155,1),(197,1)}
       128:{1,2,4,7}:{(96,1),(97,1),(110,1),(154,1),(155,1),(156,1),(198,1),(199,1)}
       129:{3,4,7}:{(97,1),(101,1),(111,1),(155,1),(156,1)}
       130:{3,5,7}:{(98,1),(112,1),(149,1),(153,1),(157,1),(158,1)}
       131:{4,7}:{(99,1),(113,1)}
       132:{2,5,7}:{(100,1),(102,1),(114,1),(152,1)}
       133:{1,5,7}:{(101,1),(103,1),(115,1),(156,1)}
       134:{2,5}:{(104,1),(112,1)}
       135:{2,4,6}:{(105,1),(113,1),(116,1),(150,1),(159,1),(160,1)}
       136:{3,6}:{(106,1),(117,1),(151,1)}
       137:{2,4,6}:{(107,1),(114,1),(118,1),(152,1),(162,1)}
       138:{1,5}:{(108,1),(112,1)}
       139:{1,4,6}:{(109,1),(113,1),(119,1),(154,1),(163,1),(164,1)}
       140:{3,6}:{(110,1),(120,1),(155,1)}
       141:{1,4,6}:{(111,1),(115,1),(121,1),(156,1),(165,1)}
       142:{4,5}:{(112,1),(113,1)}
       143:{3,4}:{(116,1),(117,1),(167,1)}
       144:{1,3,5}:{(117,1),(161,1),(167,1),(169,1),(200,1),(202,1)}
       145:{2,3,5}:{(117,1),(118,1),(162,1),(168,1),(169,1)}
       146:{3,4}:{(119,1),(120,1),(171,1)}
       147:{1,3,5}:{(120,1),(121,1),(165,1),(170,1),(172,1)}
       148:{2,3,5}:{(120,1),(166,1),(171,1),(172,1),(201,1),(203,1)}
       149:{2,5,7}:{(122,1),(130,1),(134,1),(173,1)}
       150:{2,4,7}:{(123,1),(131,1),(135,1),(175,1)}
       151:{3,7}:{(124,1),(136,1)}
       152:{2,4,7}:{(125,1),(132,1),(137,1),(177,1)}
       153:{1,5,7}:{(126,1),(130,1),(138,1),(178,1)}
       154:{1,4,7}:{(127,1),(131,1),(139,1),(180,1)}
       155:{3,7}:{(128,1),(140,1)}
       156:{1,4,7}:{(129,1),(133,1),(141,1),(181,1)}
       157:{3,5,6}:{(130,1),(173,1),(178,1),(183,1),(204,1),(206,1)}
       158:{4,5,7}:{(130,1),(131,1),(142,1),(183,1)}
       159:{2,4,5}:{(134,1),(135,1),(142,1),(184,1)}
       160:{3,4,6}:{(135,1),(136,1),(143,1),(175,1),(184,1),(185,1),(204,1)}
       161:{1,3,6}:{(136,1),(144,1),(176,1),(185,1),(186,1)}
       162:{2,3,6}:{(136,1),(137,1),(145,1),(177,1),(186,1)}
       163:{1,4,5}:{(138,1),(139,1),(142,1),(187,1)}
       164:{3,4,6}:{(139,1),(140,1),(146,1),(180,1),(187,1),(188,1),(206,1)}
       165:{1,3,6}:{(140,1),(141,1),(147,1),(181,1),(189,1)}
       166:{2,3,6}:{(140,1),(148,1),(182,1),(188,1),(189,1)}
       167:{1,4}:{(143,1),(144,1)}
       168:{2,3,4}:{(143,1),(145,1),(190,1)}
       169:{1,2,5}:{(144,1),(145,1),(186,1),(190,1)}
       170:{1,3,4}:{(146,1),(147,1),(191,1)}
       171:{2,4}:{(146,1),(148,1)}
       172:{1,2,5}:{(147,1),(148,1),(189,1),(191,1)}
       173:{2,5,6}:{(149,1),(157,1),(192,1),(209,1)}
       174:{2,4,5,7}:{(149,1),(150,1),(158,1),(159,1),(192,1),(193,1)}
       175:{3,4,7}:{(150,1),(151,1),(160,1),(193,1),(194,1)}
       176:{1,3,7}:{(151,1),(161,1),(194,1),(195,1)}
       177:{2,3,7}:{(151,1),(152,1),(162,1),(195,1)}
       178:{1,5,6}:{(153,1),(157,1),(196,1),(208,1)}
       179:{1,4,5,7}:{(153,1),(154,1),(158,1),(163,1),(196,1),(197,1)}
       180:{3,4,7}:{(154,1),(155,1),(164,1),(197,1),(198,1)}
       181:{1,3,7}:{(155,1),(156,1),(165,1),(199,1)}
       182:{2,3,7}:{(155,1),(166,1),(198,1),(199,1)}
       183:{4,6}:{(157,1),(158,1)}
       184:{3,5}:{(159,1),(160,1),(200,1)}
       185:{1,4,6}:{(160,1),(161,1),(167,1),(194,1),(200,1),(208,1)}
       186:{1,2,6}:{(161,1),(162,1),(169,1),(195,1)}
       187:{3,5}:{(163,1),(164,1),(201,1)}
       188:{2,4,6}:{(164,1),(166,1),(171,1),(198,1),(201,1),(209,1)}
       189:{1,2,6}:{(165,1),(166,1),(172,1),(199,1)}
       190:{1,2,4}:{(167,1),(168,1),(169,1),(202,1)}
       191:{1,2,4}:{(170,1),(171,1),(172,1),(203,1)}
       192:{2,4,6}:{(173,1),(174,1),(183,1),(204,1)}
       193:{3,5,7}:{(174,1),(175,1),(184,1),(204,1),(205,1)}
       194:{1,4,7}:{(175,1),(176,1),(185,1),(205,1)}
       195:{1,2,7}:{(176,1),(177,1),(186,1)}
       196:{1,4,6}:{(178,1),(179,1),(183,1),(206,1)}
       197:{3,5,7}:{(179,1),(180,1),(187,1),(206,1),(207,1)}
       198:{2,4,7}:{(180,1),(182,1),(188,1),(207,1)}
       199:{1,2,7}:{(181,1),(182,1),(189,1)}
       200:{1,5}:{(184,1),(185,1)}
       201:{2,5}:{(187,1),(188,1)}
       202:{1,3}:{(190,1)}
       203:{2,3}:{(191,1)}
       204:{3,6}:{(192,1),(193,1),(208,1)}
       205:{1,5,7}:{(193,1),(194,1),(200,1),(208,1)}
       206:{3,6}:{(196,1),(197,1),(209,1)}
       207:{2,5,7}:{(197,1),(198,1),(201,1),(209,1)}
       208:{1,6}:{(204,1),(205,1)}
       209:{2,6}:{(206,1),(207,1)}

 865 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(70,1),(71,1),(78,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(14,1),(35,1),(36,1),(41,1),(44,1),(46,1),(78,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(24,1),(82,1),(83,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(52,1),(53,1),(62,1),(64,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(49,1),(50,1)}
         5:{3,4,6,7}:{(2,1),(11,1),(15,1),(37,1),(41,1)}
         6:{1,2,5,7}:{(2,1),(11,1),(12,1),(94,1),(95,1)}
         7:{1,2,4,5}:{(4,1),(14,1),(39,1),(40,1),(44,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(15,1),(67,1),(68,1)}
         9:{3,4,6}:{(4,1),(14,1),(15,1),(41,1)}
        10:{1,2,4,5,6}:{(7,1),(19,1),(20,1),(24,1),(49,1),(50,1),(54,1),(55,1),(87,1),(88,1)}
        11:{3,5,7}:{(5,1),(6,1),(21,1),(22,1)}
        12:{1,2,5,6}:{(6,1),(21,1),(24,1),(87,1),(88,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(22,1),(24,1),(25,1),(57,1),(58,1),(62,1)}
        14:{3,5}:{(7,1),(9,1)}
        15:{3,4,7}:{(8,1),(9,1),(25,1)}
        16:{1,3,4,6}:{(9,1),(26,1),(28,1),(30,1),(49,1),(60,1),(85,1),(91,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(29,1),(30,1),(50,1),(61,1),(85,1),(91,1),(105,1)}
        18:{1,2,5,6,7}:{(12,1),(31,1),(33,1),(94,1),(95,1)}
        19:{1,2,4,5,7}:{(10,1),(33,1),(34,1),(65,1),(67,1),(68,1),(72,1),(94,1),(95,1)}
        20:{3,5,6}:{(10,1),(14,1),(32,1),(34,1),(41,1)}
        21:{3,5,6}:{(11,1),(12,1),(37,1),(41,1)}
        22:{4,5,7}:{(11,1),(37,1)}
        23:{3,4,5}:{(14,1),(32,1),(39,1),(40,1),(77,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(37,1),(41,1),(74,1),(75,1),(78,1)}
        25:{3,5,7}:{(13,1),(14,1),(15,1),(41,1)}
        26:{1,3,5}:{(14,1),(16,1),(39,1),(44,1),(77,1),(109,1)}
        27:{2,3,5}:{(14,1),(17,1),(40,1),(44,1),(77,1),(109,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(42,1),(45,1),(67,1),(97,1),(100,1)}
        29:{2,3,4,7}:{(15,1),(17,1),(43,1),(45,1),(68,1),(97,1),(100,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(44,1),(45,1),(46,1),(78,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(47,1),(51,1),(81,1)}
        32:{3,4,6}:{(20,1),(23,1),(48,1),(49,1),(50,1),(85,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(24,1),(47,1),(51,1),(82,1),(83,1),(86,1)}
        34:{3,5,7}:{(19,1),(20,1),(48,1),(51,1)}
        35:{1,3,5,6}:{(20,1),(26,1),(49,1),(52,1),(54,1),(60,1),(85,1),(87,1),(104,1)}
        36:{2,3,5,6}:{(20,1),(27,1),(50,1),(53,1),(54,1),(61,1),(85,1),(88,1),(104,1)}
        37:{4,6}:{(21,1),(22,1)}
        38:{3,4,5,7}:{(22,1),(23,1),(25,1),(48,1),(56,1),(57,1),(58,1),(81,1),(90,1),(110,1),(111,1)}
        39:{1,4,5}:{(23,1),(26,1),(49,1),(111,1)}
        40:{2,4,5}:{(23,1),(27,1),(50,1),(111,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(28,1),(57,1),(60,1),(62,1),(90,1)}
        43:{2,3,5,7}:{(25,1),(27,1),(29,1),(58,1),(61,1),(62,1),(90,1)}
        44:{1,2,5}:{(26,1),(27,1),(30,1)}
        45:{1,2,4,7}:{(28,1),(29,1),(30,1),(62,1),(64,1)}
        46:{1,2,3,6}:{(30,1),(63,1),(64,1),(85,1)}
        47:{4,6,7}:{(31,1),(37,1),(65,1)}
        48:{3,4,7}:{(32,1),(34,1),(67,1),(68,1),(97,1)}
        49:{1,4,6}:{(32,1),(35,1),(39,1),(67,1),(108,1)}
        50:{2,4,6}:{(32,1),(36,1),(40,1),(68,1),(108,1)}
        51:{3,6,7}:{(33,1),(34,1),(41,1)}
        52:{1,3,5,7}:{(34,1),(35,1),(67,1),(70,1),(72,1),(94,1),(97,1),(107,1)}
        53:{2,3,5,7}:{(34,1),(36,1),(68,1),(71,1),(72,1),(95,1),(97,1),(107,1)}
        54:{1,2,5,6}:{(35,1),(36,1),(44,1),(69,1),(72,1),(78,1)}
        55:{4,5,6}:{(37,1),(65,1),(73,1),(108,1)}
        56:{3,4,6}:{(37,1),(38,1),(41,1),(73,1),(74,1),(75,1),(99,1),(108,1)}
        57:{1,4,5,7}:{(38,1),(39,1),(42,1),(67,1),(74,1),(94,1)}
        58:{2,4,5,7}:{(38,1),(40,1),(43,1),(68,1),(75,1),(95,1)}
        59:{1,2,4,5}:{(39,1),(40,1),(44,1),(69,1),(77,1),(80,1)}
        60:{1,3,6}:{(41,1),(42,1),(74,1),(78,1),(99,1)}
        61:{2,3,6}:{(41,1),(43,1),(75,1),(78,1),(99,1)}
        62:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(78,1)}
        63:{1,2,3,5}:{(44,1),(46,1),(77,1),(80,1)}
        64:{1,2,3,7}:{(45,1),(46,1),(97,1)}
        65:{4,5,7}:{(47,1),(55,1),(81,1),(110,1)}
        66:{3,4,6,7}:{(47,1),(48,1),(51,1),(56,1),(81,1),(82,1),(83,1),(103,1),(110,1)}
        67:{1,4,7}:{(48,1),(49,1),(52,1),(110,1)}
        68:{2,4,7}:{(48,1),(50,1),(53,1),(110,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(54,1),(59,1),(84,1),(85,1)}
        70:{1,3,6,7}:{(51,1),(52,1),(60,1),(82,1),(86,1),(103,1)}
        71:{2,3,6,7}:{(51,1),(53,1),(61,1),(83,1),(86,1),(103,1)}
        72:{1,2,5,7}:{(52,1),(53,1),(54,1),(84,1),(86,1)}
        73:{3,5,6}:{(55,1),(56,1),(81,1),(87,1),(88,1)}
        74:{1,4,6}:{(56,1),(57,1),(60,1),(87,1)}
        75:{2,4,6}:{(56,1),(58,1),(61,1),(88,1)}
        76:{1,2,4,5,7}:{(57,1),(58,1),(59,1),(62,1),(84,1),(89,1),(90,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        77:{3,5}:{(59,1),(85,1),(91,1)}
        78:{1,2,6}:{(60,1),(61,1),(62,1)}
        79:{1,2,3,5,7}:{(62,1),(63,1),(64,1),(90,1),(92,1),(93,1),(106,1)}
        80:{1,2,4}:{(63,1),(91,1)}
        81:{3,5,7}:{(65,1),(66,1),(73,1),(94,1),(95,1)}
        82:{1,4,6,7}:{(66,1),(67,1),(70,1),(74,1),(94,1)}
        83:{2,4,6,7}:{(66,1),(68,1),(71,1),(75,1),(95,1)}
        84:{1,2,4,7}:{(67,1),(68,1),(69,1),(72,1),(97,1)}
        85:{3,6}:{(69,1),(77,1),(97,1)}
        86:{1,2,6,7}:{(70,1),(71,1),(72,1),(78,1)}
        87:{1,5,6}:{(73,1),(74,1),(94,1)}
        88:{2,5,6}:{(73,1),(75,1),(95,1)}
        89:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(98,1),(99,1),(108,1)}
        90:{3,5,7}:{(76,1),(77,1),(97,1),(99,1),(100,1),(109,1)}
        91:{3,4}:{(77,1),(80,1)}
        92:{1,2,3,6}:{(78,1),(79,1),(99,1),(101,1)}
        93:{1,2,4,7}:{(79,1),(80,1),(100,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(87,1)}
        95:{2,5,7}:{(81,1),(83,1),(88,1)}
        96:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(86,1),(89,1),(102,1),(103,1),(110,1)}
        97:{3,7}:{(84,1),(85,1)}
        98:{1,2,5,6}:{(87,1),(88,1),(89,1),(102,1),(104,1),(106,1)}
        99:{3,6}:{(89,1),(90,1)}
       100:{3,4,7}:{(90,1),(91,1),(93,1),(105,1),(110,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(98,1),(107,1)}
       103:{3,6,7}:{(96,1),(97,1),(99,1),(107,1)}
       104:{3,5,6}:{(98,1),(99,1),(107,1),(108,1),(109,1)}
       105:{3,4,6}:{(99,1),(100,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(104,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

 866 :   0:{1,3,5,6,7}:{(2,1),(3,1),(11,1),(13,1),(36,1),(40,1),(86,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(11,1),(17,1),(37,1),(48,1),(80,1)}
         2:{1,2,5,6,7}:{(0,1),(1,1),(5,1),(27,1),(31,1),(58,1),(61,1),(67,1)}
         3:{1,4,6,7}:{(0,1),(6,1),(7,1),(56,1),(59,1),(105,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(9,1),(57,1),(66,1),(100,1)}
         5:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(10,1),(11,1),(15,1),(18,1),(38,1),(77,1),(79,1),(85,1)}
         6:{1,4,5,7}:{(3,1),(12,1),(13,1),(122,1)}
         7:{3,4,6,7}:{(3,1),(11,1),(13,1),(15,1),(35,1),(39,1),(121,1)}
         8:{2,4,5,7}:{(4,1),(16,1),(17,1),(118,1)}
         9:{3,4,6,7}:{(4,1),(11,1),(17,1),(18,1),(35,1),(46,1),(117,1)}
        10:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(20,1),(21,1),(27,1),(31,1),(56,1),(57,1),(58,1)}
        11:{3,6,7}:{(5,1),(21,1),(97,1),(99,1),(104,1)}
        12:{1,4,5,6}:{(6,1),(24,1),(59,1)}
        13:{3,5,7}:{(6,1),(7,1),(24,1),(27,1),(132,1)}
        14:{1,3,4,6,7}:{(7,1),(22,1),(26,1),(28,1),(56,1),(59,1),(92,1),(97,1),(99,1),(102,1),(129,1)}
        15:{2,4,6,7}:{(7,1),(23,1),(27,1),(57,1),(60,1),(131,1)}
        16:{2,4,5,6}:{(8,1),(29,1),(66,1)}
        17:{3,5,7}:{(8,1),(9,1),(29,1),(31,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(22,1),(31,1),(56,1),(65,1),(129,1)}
        19:{2,3,4,6,7}:{(9,1),(23,1),(32,1),(33,1),(57,1),(66,1),(93,1),(97,1),(104,1),(107,1),(131,1)}
        20:{1,2,4,5,6}:{(10,1),(12,1),(16,1),(34,1),(41,1),(47,1),(72,1),(73,1),(74,1),(79,1),(85,1),(110,1),(118,1),(122,1),(136,1),(137,1)}
        21:{3,5,7}:{(10,1),(11,1),(34,1),(35,1)}
        22:{1,3,6,7}:{(11,1),(18,1),(36,1),(38,1),(84,1),(116,1)}
        23:{2,3,6,7}:{(11,1),(15,1),(37,1),(38,1),(78,1),(120,1)}
        24:{3,5,6}:{(12,1),(13,1),(39,1),(41,1)}
        25:{3,4,5,7}:{(13,1),(35,1),(39,1),(42,1),(43,1),(71,1),(82,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(40,1),(42,1),(44,1),(82,1),(108,1),(136,1)}
        27:{2,5,7}:{(13,1),(15,1),(41,1),(137,1)}
        28:{1,2,4,6,7}:{(14,1),(15,1),(38,1),(44,1),(45,1),(77,1),(79,1),(83,1),(111,1)}
        29:{3,5,6}:{(16,1),(17,1),(46,1),(47,1)}
        30:{3,4,5,7}:{(17,1),(35,1),(46,1),(49,1),(50,1),(71,1),(88,1)}
        31:{1,5,7}:{(17,1),(18,1),(47,1),(136,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(48,1),(50,1),(51,1),(88,1),(109,1),(137,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(38,1),(51,1),(52,1),(77,1),(85,1),(89,1),(112,1)}
        34:{3,5,6}:{(20,1),(21,1),(53,1),(99,1),(104,1),(126,1),(130,1),(132,1)}
        35:{3,4,7}:{(21,1),(53,1),(56,1),(57,1),(97,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(31,1),(54,1),(56,1),(58,1),(97,1)}
        37:{2,3,5,7}:{(21,1),(23,1),(27,1),(55,1),(57,1),(58,1),(97,1)}
        38:{1,2,6,7}:{(22,1),(23,1),(58,1),(98,1),(103,1)}
        39:{3,4,6}:{(24,1),(25,1),(59,1),(60,1),(99,1)}
        40:{1,3,5,6}:{(24,1),(26,1),(59,1),(61,1),(99,1)}
        41:{2,5,6}:{(24,1),(27,1),(60,1)}
        42:{1,4,5,7}:{(25,1),(26,1),(56,1),(59,1),(90,1)}
        43:{2,4,5,7}:{(25,1),(27,1),(57,1),(60,1),(62,1),(91,1)}
        44:{1,2,5,7}:{(26,1),(27,1),(28,1),(61,1),(64,1),(124,1)}
        45:{2,3,6,7}:{(28,1),(64,1),(97,1),(99,1),(127,1)}
        46:{3,4,6}:{(29,1),(30,1),(65,1),(66,1),(104,1)}
        47:{1,5,6}:{(29,1),(31,1),(65,1)}
        48:{2,3,5,6}:{(29,1),(32,1),(66,1),(67,1),(104,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(56,1),(65,1),(68,1),(90,1)}
        50:{2,4,5,7}:{(30,1),(32,1),(57,1),(66,1),(91,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(67,1),(70,1),(125,1)}
        52:{1,3,6,7}:{(33,1),(70,1),(97,1),(104,1),(128,1)}
        53:{3,4,6}:{(34,1),(35,1),(71,1),(72,1),(73,1),(113,1),(135,1)}
        54:{1,3,5,6}:{(34,1),(36,1),(47,1),(72,1),(74,1),(84,1),(108,1),(113,1),(116,1),(134,1),(136,1)}
        55:{2,3,5,6}:{(34,1),(37,1),(41,1),(73,1),(74,1),(78,1),(109,1),(113,1),(120,1),(133,1),(137,1)}
        56:{1,4,7}:{(35,1),(36,1),(72,1)}
        57:{2,4,7}:{(35,1),(37,1),(73,1)}
        58:{1,2,5,7}:{(36,1),(37,1),(38,1),(74,1),(77,1)}
        59:{1,4,6}:{(39,1),(40,1),(42,1)}
        60:{2,4,6}:{(39,1),(41,1),(43,1),(78,1)}
        61:{1,2,5,6}:{(40,1),(41,1),(44,1),(79,1),(80,1),(136,1)}
        62:{2,3,5,7}:{(43,1),(76,1),(78,1),(81,1),(82,1),(109,1)}
        63:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(77,1),(79,1),(81,1),(82,1),(83,1),(110,1),(118,1),(119,1),(136,1)}
        64:{2,3,5,7}:{(44,1),(45,1),(80,1),(82,1),(83,1),(133,1)}
        65:{1,4,6}:{(46,1),(47,1),(49,1),(84,1)}
        66:{2,4,6}:{(46,1),(48,1),(50,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(51,1),(85,1),(86,1),(137,1)}
        68:{1,3,5,7}:{(49,1),(75,1),(84,1),(87,1),(88,1),(108,1)}
        69:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(77,1),(85,1),(87,1),(88,1),(89,1),(110,1),(122,1),(123,1),(137,1)}
        70:{1,3,5,7}:{(51,1),(52,1),(86,1),(88,1),(89,1),(134,1)}
        71:{3,4,5}:{(53,1),(90,1),(91,1),(126,1),(130,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(56,1),(90,1),(139,1)}
        73:{2,4,6}:{(53,1),(55,1),(57,1),(91,1),(138,1)}
        74:{1,2,5,6}:{(54,1),(55,1),(58,1),(94,1),(98,1),(103,1),(124,1),(125,1)}
        75:{1,3,4,7}:{(56,1),(68,1),(92,1),(95,1),(97,1),(107,1)}
        76:{2,3,4,7}:{(57,1),(62,1),(93,1),(96,1),(97,1),(102,1)}
        77:{1,2,4,7}:{(56,1),(57,1),(58,1),(94,1),(97,1)}
        78:{2,3,6}:{(60,1),(62,1),(98,1),(99,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(63,1),(98,1),(99,1),(100,1),(129,1)}
        80:{2,3,5,6}:{(61,1),(64,1),(99,1),(100,1),(130,1)}
        81:{1,2,5,7}:{(62,1),(96,1),(98,1),(101,1),(125,1)}
        82:{3,5,7}:{(63,1),(97,1),(99,1),(102,1),(126,1),(130,1)}
        83:{2,4,7}:{(64,1),(100,1),(102,1),(138,1)}
        84:{1,3,6}:{(65,1),(68,1),(103,1),(104,1)}
        85:{1,2,4,6}:{(65,1),(66,1),(67,1),(69,1),(103,1),(104,1),(105,1),(131,1)}
        86:{1,3,5,6}:{(67,1),(70,1),(104,1),(105,1),(132,1)}
        87:{1,2,5,7}:{(68,1),(95,1),(103,1),(106,1),(124,1)}
        88:{3,5,7}:{(69,1),(97,1),(104,1),(107,1),(126,1),(132,1)}
        89:{1,4,7}:{(70,1),(105,1),(107,1),(139,1)}
        90:{1,4,5}:{(71,1),(72,1),(108,1),(136,1)}
        91:{2,4,5}:{(71,1),(73,1),(109,1),(137,1)}
        92:{1,3,4,6}:{(72,1),(75,1),(84,1),(108,1),(111,1),(113,1),(121,1),(135,1)}
        93:{2,3,4,6}:{(73,1),(76,1),(78,1),(109,1),(112,1),(113,1),(117,1),(135,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(77,1),(110,1),(113,1)}
        95:{1,2,4,7}:{(75,1),(87,1),(111,1),(114,1),(123,1)}
        96:{1,2,4,7}:{(76,1),(81,1),(112,1),(115,1),(119,1)}
        97:{3,7}:{(77,1),(113,1)}
        98:{1,2,6}:{(78,1),(81,1),(116,1)}
        99:{3,6}:{(79,1),(82,1)}
       100:{2,4,6}:{(80,1),(83,1),(117,1),(118,1)}
       101:{1,3,5,7}:{(81,1),(82,1),(115,1),(116,1),(119,1),(134,1),(136,1)}
       102:{3,4,7}:{(82,1),(83,1),(117,1),(119,1),(135,1)}
       103:{1,2,6}:{(84,1),(87,1),(120,1)}
       104:{3,6}:{(85,1),(88,1)}
       105:{1,4,6}:{(86,1),(89,1),(121,1),(122,1)}
       106:{2,3,5,7}:{(87,1),(88,1),(114,1),(120,1),(123,1),(133,1),(137,1)}
       107:{3,4,7}:{(88,1),(89,1),(121,1),(123,1),(135,1)}
       108:{1,3,5}:{(90,1),(92,1),(124,1),(126,1),(132,1)}
       109:{2,3,5}:{(91,1),(93,1),(125,1),(126,1),(130,1)}
       110:{1,2,4,5}:{(90,1),(91,1),(94,1),(124,1),(125,1),(126,1),(138,1),(139,1)}
       111:{1,2,4,6}:{(92,1),(95,1),(103,1),(124,1),(127,1),(131,1),(138,1)}
       112:{1,2,4,6}:{(93,1),(96,1),(98,1),(125,1),(128,1),(129,1),(139,1)}
       113:{3,6}:{(94,1),(97,1),(126,1)}
       114:{2,3,7}:{(95,1),(97,1),(127,1)}
       115:{1,3,7}:{(96,1),(97,1),(128,1)}
       116:{1,3,6}:{(98,1),(99,1),(101,1),(129,1)}
       117:{3,4,6}:{(99,1),(100,1),(102,1),(129,1),(130,1)}
       118:{2,4,5}:{(100,1),(130,1)}
       119:{1,4,7}:{(101,1),(102,1),(129,1),(139,1)}
       120:{2,3,6}:{(103,1),(104,1),(106,1),(131,1)}
       121:{3,4,6}:{(104,1),(105,1),(107,1),(131,1),(132,1)}
       122:{1,4,5}:{(105,1),(132,1)}
       123:{2,4,7}:{(106,1),(107,1),(131,1),(138,1)}
       124:{1,2,5}:{(108,1),(111,1),(133,1),(137,1)}
       125:{1,2,5}:{(109,1),(112,1),(134,1),(136,1)}
       126:{3,5}:{(110,1),(113,1),(135,1)}
       127:{2,3,6}:{(111,1),(113,1),(114,1),(133,1)}
       128:{1,3,6}:{(112,1),(113,1),(115,1),(134,1)}
       129:{1,4,6}:{(116,1),(117,1),(119,1),(136,1)}
       130:{3,5}:{(117,1),(118,1),(136,1)}
       131:{2,4,6}:{(120,1),(121,1),(123,1),(137,1)}
       132:{3,5}:{(121,1),(122,1),(137,1)}
       133:{2,3,5}:{(124,1),(126,1),(127,1),(138,1)}
       134:{1,3,5}:{(125,1),(126,1),(128,1),(139,1)}
       135:{3,4}:{(126,1),(138,1),(139,1)}
       136:{1,5}:{(129,1),(130,1)}
       137:{2,5}:{(131,1),(132,1)}
       138:{2,4}:{(133,1),(135,1)}
       139:{1,4}:{(134,1),(135,1)}

 867 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(30,1),(31,1),(34,1),(37,1),(38,1),(39,1),(76,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(42,1),(43,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(25,1),(50,1),(51,1),(55,1),(59,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(27,1),(28,1),(34,1)}
         4:{3,4,6}:{(1,1),(8,1),(12,1),(37,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(12,1),(62,1),(63,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(37,1),(71,1),(72,1),(76,1)}
         7:{1,2,4,5,6}:{(3,1),(15,1),(16,1),(20,1),(42,1),(43,1),(49,1),(86,1),(87,1),(88,1)}
         8:{3,5}:{(3,1),(4,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(19,1),(20,1),(25,1),(46,1),(47,1),(55,1),(60,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(21,1),(22,1),(42,1),(56,1),(78,1),(83,1),(104,1)}
        11:{2,3,4,6}:{(4,1),(18,1),(21,1),(23,1),(43,1),(57,1),(78,1),(83,1),(104,1)}
        12:{3,4,7}:{(4,1),(5,1),(19,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(24,1),(25,1),(80,1),(81,1)}
        14:{3,4,5}:{(8,1),(26,1),(27,1),(28,1),(65,1)}
        15:{3,5,6}:{(7,1),(8,1),(26,1),(32,1),(37,1)}
        16:{1,2,4,5,7}:{(7,1),(32,1),(33,1),(62,1),(63,1),(70,1),(95,1),(96,1),(97,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(34,1),(65,1),(108,1)}
        18:{2,3,5}:{(8,1),(11,1),(28,1),(34,1),(65,1),(108,1)}
        19:{3,5,7}:{(8,1),(9,1),(12,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(37,1),(38,1),(67,1),(68,1),(76,1),(77,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(34,1),(39,1),(40,1),(74,1),(76,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(35,1),(40,1),(62,1),(93,1),(98,1)}
        23:{2,3,4,7}:{(11,1),(12,1),(36,1),(40,1),(63,1),(93,1),(98,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(41,1),(77,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(41,1),(95,1),(96,1)}
        26:{3,4,6}:{(14,1),(15,1),(42,1),(43,1),(44,1),(78,1)}
        27:{1,4,5}:{(14,1),(17,1),(42,1),(111,1)}
        28:{2,4,5}:{(14,1),(18,1),(43,1),(111,1)}
        29:{3,4,5,7}:{(14,1),(19,1),(44,1),(46,1),(47,1),(48,1),(60,1),(82,1),(84,1),(110,1),(111,1)}
        30:{1,3,5,6}:{(15,1),(17,1),(42,1),(49,1),(50,1),(56,1),(78,1),(86,1),(105,1)}
        31:{2,3,5,6}:{(15,1),(18,1),(43,1),(49,1),(51,1),(57,1),(78,1),(87,1),(105,1)}
        32:{3,5,7}:{(15,1),(16,1),(44,1),(52,1)}
        33:{1,2,4,6,7}:{(16,1),(20,1),(52,1),(53,1),(80,1),(81,1),(89,1),(90,1)}
        34:{1,2,5}:{(17,1),(18,1),(21,1)}
        35:{1,3,5,7}:{(17,1),(19,1),(22,1),(46,1),(55,1),(56,1),(84,1)}
        36:{2,3,5,7}:{(18,1),(19,1),(23,1),(47,1),(55,1),(57,1),(84,1)}
        37:{3,6}:{(19,1),(20,1)}
        38:{1,2,5,6}:{(20,1),(25,1),(58,1),(86,1),(87,1)}
        39:{1,2,3,6}:{(21,1),(54,1),(59,1),(78,1)}
        40:{1,2,4,7}:{(21,1),(22,1),(23,1),(55,1),(59,1)}
        41:{3,5,7}:{(24,1),(25,1),(58,1),(60,1)}
        42:{1,4,6}:{(26,1),(27,1),(30,1),(62,1),(109,1)}
        43:{2,4,6}:{(26,1),(28,1),(31,1),(63,1),(109,1)}
        44:{3,4,7}:{(26,1),(32,1),(62,1),(63,1),(93,1)}
        45:{1,2,4,5}:{(27,1),(28,1),(34,1),(61,1),(65,1),(74,1)}
        46:{1,4,5,7}:{(27,1),(29,1),(35,1),(62,1),(67,1),(95,1)}
        47:{2,4,5,7}:{(28,1),(29,1),(36,1),(63,1),(68,1),(96,1)}
        48:{3,4,6}:{(29,1),(37,1),(67,1),(68,1),(69,1),(77,1),(99,1),(109,1)}
        49:{1,2,5,6}:{(30,1),(31,1),(34,1),(61,1),(70,1),(76,1)}
        50:{1,3,5,7}:{(30,1),(32,1),(62,1),(70,1),(71,1),(93,1),(95,1),(107,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(63,1),(70,1),(72,1),(93,1),(96,1),(107,1)}
        52:{3,6,7}:{(32,1),(33,1),(37,1)}
        53:{1,2,5,6,7}:{(33,1),(38,1),(73,1),(95,1),(96,1)}
        54:{1,2,3,5}:{(34,1),(39,1),(65,1),(74,1)}
        55:{1,2,5,7}:{(34,1),(35,1),(36,1),(40,1),(76,1)}
        56:{1,3,6}:{(35,1),(37,1),(67,1),(76,1),(99,1)}
        57:{2,3,6}:{(36,1),(37,1),(68,1),(76,1),(99,1)}
        58:{3,5,6}:{(37,1),(38,1),(41,1),(77,1)}
        59:{1,2,3,7}:{(39,1),(40,1),(93,1)}
        60:{4,5,7}:{(41,1),(77,1)}
        61:{1,2,4,6}:{(42,1),(43,1),(45,1),(49,1),(78,1),(79,1)}
        62:{1,4,7}:{(42,1),(44,1),(50,1),(110,1)}
        63:{2,4,7}:{(43,1),(44,1),(51,1),(110,1)}
        64:{3,4,6,7}:{(44,1),(48,1),(52,1),(80,1),(81,1),(82,1),(90,1),(102,1),(110,1)}
        65:{3,5}:{(45,1),(78,1),(83,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(55,1),(79,1),(84,1),(85,1),(91,1),(103,1),(106,1),(110,1),(111,1)}
        67:{1,4,6}:{(46,1),(48,1),(56,1),(86,1)}
        68:{2,4,6}:{(47,1),(48,1),(57,1),(87,1)}
        69:{3,5,6}:{(48,1),(82,1),(86,1),(87,1),(88,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(89,1)}
        71:{1,3,6,7}:{(50,1),(52,1),(56,1),(80,1),(89,1),(102,1)}
        72:{2,3,6,7}:{(51,1),(52,1),(57,1),(81,1),(89,1),(102,1)}
        73:{3,5,6,7}:{(52,1),(53,1),(58,1),(82,1),(90,1)}
        74:{1,2,4}:{(54,1),(83,1)}
        75:{1,2,3,5,7}:{(54,1),(55,1),(59,1),(84,1),(91,1),(92,1),(106,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{4,6}:{(58,1),(60,1)}
        78:{3,6}:{(61,1),(65,1),(93,1)}
        79:{1,2,4,7}:{(61,1),(62,1),(63,1),(70,1),(93,1)}
        80:{1,4,6,7}:{(62,1),(64,1),(67,1),(71,1),(95,1)}
        81:{2,4,6,7}:{(63,1),(64,1),(68,1),(72,1),(96,1)}
        82:{3,5,7}:{(64,1),(69,1),(95,1),(96,1),(97,1)}
        83:{3,4}:{(65,1),(74,1)}
        84:{3,5,7}:{(65,1),(66,1),(93,1),(98,1),(99,1),(108,1)}
        85:{1,2,4,6}:{(66,1),(67,1),(68,1),(76,1),(99,1),(100,1),(109,1)}
        86:{1,5,6}:{(67,1),(69,1),(95,1)}
        87:{2,5,6}:{(68,1),(69,1),(96,1)}
        88:{4,5,6}:{(69,1),(77,1),(97,1),(109,1)}
        89:{1,2,6,7}:{(70,1),(71,1),(72,1),(76,1)}
        90:{4,6,7}:{(73,1),(77,1),(97,1)}
        91:{1,2,4,7}:{(74,1),(75,1),(98,1),(101,1)}
        92:{1,2,3,6}:{(75,1),(76,1),(99,1),(101,1)}
        93:{3,7}:{(78,1),(79,1)}
        94:{1,2,4,6,7}:{(79,1),(80,1),(81,1),(85,1),(89,1),(102,1),(103,1),(110,1)}
        95:{1,5,7}:{(80,1),(82,1),(86,1)}
        96:{2,5,7}:{(81,1),(82,1),(87,1)}
        97:{4,5,7}:{(82,1),(88,1),(90,1),(110,1)}
        98:{3,4,7}:{(83,1),(84,1),(91,1),(104,1),(110,1)}
        99:{3,6}:{(84,1),(85,1)}
       100:{1,2,5,6}:{(85,1),(86,1),(87,1),(103,1),(105,1),(106,1)}
       101:{1,2,4,6}:{(91,1),(92,1),(104,1),(106,1)}
       102:{3,6,7}:{(93,1),(94,1),(99,1),(107,1)}
       103:{1,2,5,7}:{(94,1),(95,1),(96,1),(100,1),(107,1)}
       104:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       105:{3,5,6}:{(99,1),(100,1),(107,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(108,1)}
       107:{3,5,7}:{(102,1),(103,1),(105,1),(110,1)}
       108:{3,5}:{(104,1),(106,1),(111,1)}
       109:{4,6}:{(105,1),(110,1),(111,1)}
       110:{4,7}:{(107,1),(109,1)}
       111:{4,5}:{(108,1),(109,1)}

 868 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(9,1),(12,1),(30,1),(32,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(50,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(21,1),(48,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(72,1),(79,1)}
         4:{1,2,4,5,7}:{(1,1),(9,1),(11,1),(12,1),(27,1),(28,1),(30,1),(39,1),(40,1),(71,1),(79,1),(112,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1)}
         6:{1,2,3,7}:{(15,1),(16,1),(129,1),(133,1),(146,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(17,1),(18,1),(41,1),(94,1),(95,1),(129,1)}
         8:{1,3,4,7}:{(3,1),(15,1),(19,1),(20,1),(41,1),(93,1),(98,1),(129,1)}
         9:{3,5,7}:{(3,1),(4,1),(21,1),(22,1),(92,1),(129,1)}
        10:{3,4,6}:{(3,1),(5,1),(21,1),(22,1),(58,1)}
        11:{1,2,4,6}:{(4,1),(21,1),(24,1),(44,1),(45,1),(48,1),(58,1)}
        12:{1,2,5}:{(5,1),(22,1)}
        13:{1,2,3,5,7}:{(6,1),(25,1),(26,1),(30,1),(32,1),(59,1),(62,1)}
        14:{3,4,5,7}:{(9,1),(27,1),(28,1),(29,1),(39,1),(59,1),(67,1),(75,1),(78,1),(79,1),(103,1),(117,1),(119,1),(136,1)}
        15:{1,2,4,7}:{(6,1),(7,1),(8,1),(30,1),(31,1),(116,1)}
        16:{1,2,3,6}:{(6,1),(31,1),(32,1),(113,1),(143,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(27,1),(30,1),(33,1),(34,1),(59,1),(115,1),(142,1)}
        18:{2,3,4,6}:{(7,1),(10,1),(31,1),(33,1),(34,1),(60,1),(72,1),(74,1),(113,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(28,1),(30,1),(35,1),(36,1),(59,1),(114,1),(141,1)}
        20:{1,3,4,6}:{(8,1),(10,1),(31,1),(35,1),(36,1),(60,1),(72,1),(77,1),(113,1)}
        21:{3,6}:{(9,1),(11,1)}
        22:{3,5}:{(10,1),(12,1),(39,1)}
        23:{1,2,4,6,7}:{(11,1),(37,1),(40,1),(63,1),(65,1),(69,1),(79,1),(112,1)}
        24:{1,2,5,6}:{(11,1),(12,1),(38,1),(40,1),(64,1),(66,1)}
        25:{1,2,4,7}:{(13,1),(41,1),(43,1),(50,1)}
        26:{1,2,3,6}:{(13,1),(43,1),(48,1),(80,1)}
        27:{2,4,5,7}:{(14,1),(17,1),(44,1),(53,1),(84,1),(95,1),(100,1),(135,1)}
        28:{1,4,5,7}:{(14,1),(19,1),(45,1),(56,1),(86,1),(97,1),(98,1),(134,1)}
        29:{3,4,6}:{(14,1),(21,1),(44,1),(45,1),(47,1),(58,1),(80,1),(122,1)}
        30:{1,2,5,7}:{(15,1),(17,1),(19,1),(48,1),(49,1),(132,1),(146,1)}
        31:{1,2,4,6}:{(15,1),(16,1),(18,1),(20,1),(48,1),(49,1),(50,1)}
        32:{1,2,3,5}:{(16,1),(49,1),(50,1),(92,1),(132,1),(133,1)}
        33:{2,3,6}:{(17,1),(21,1),(44,1),(48,1),(80,1)}
        34:{2,3,5}:{(18,1),(22,1),(49,1),(53,1),(81,1),(92,1)}
        35:{1,3,6}:{(19,1),(21,1),(45,1),(48,1),(80,1)}
        36:{1,3,5}:{(20,1),(22,1),(49,1),(56,1),(81,1),(92,1)}
        37:{3,6,7}:{(21,1),(23,1),(57,1),(129,1)}
        38:{3,5,6}:{(21,1),(22,1),(24,1),(57,1),(58,1)}
        39:{4,5}:{(22,1),(58,1)}
        40:{1,2,5,7}:{(23,1),(24,1),(57,1),(84,1),(86,1)}
        41:{3,4,7}:{(25,1),(59,1),(60,1),(72,1),(136,1)}
        42:{1,2,4,5,7}:{(25,1),(27,1),(28,1),(30,1),(59,1),(61,1),(62,1),(71,1),(103,1),(104,1),(112,1),(136,1)}
        43:{1,2,4,6}:{(25,1),(26,1),(60,1),(62,1)}
        44:{2,4,6}:{(27,1),(29,1),(33,1),(64,1)}
        45:{1,4,6}:{(28,1),(29,1),(35,1),(66,1)}
        46:{3,4,6,7}:{(29,1),(37,1),(63,1),(65,1),(67,1),(79,1),(101,1),(111,1),(117,1),(119,1),(136,1),(137,1),(139,1)}
        47:{3,5,6}:{(29,1),(64,1),(66,1),(67,1),(68,1)}
        48:{1,2,6}:{(30,1),(33,1),(35,1)}
        49:{1,2,5}:{(31,1),(34,1),(36,1)}
        50:{1,2,4}:{(32,1),(72,1)}
        51:{2,3,6,7}:{(33,1),(37,1),(63,1),(69,1),(73,1),(101,1),(137,1),(142,1)}
        52:{2,3,5,6}:{(33,1),(34,1),(38,1),(64,1),(70,1),(73,1),(74,1),(102,1),(107,1),(113,1)}
        53:{2,4,5}:{(34,1),(39,1),(74,1),(75,1),(103,1)}
        54:{1,3,6,7}:{(35,1),(37,1),(65,1),(69,1),(76,1),(101,1),(139,1),(141,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(38,1),(66,1),(70,1),(76,1),(77,1),(102,1),(110,1),(113,1)}
        56:{1,4,5}:{(36,1),(39,1),(77,1),(78,1),(103,1)}
        57:{3,5,7}:{(37,1),(38,1),(40,1),(79,1)}
        58:{4,6}:{(38,1),(39,1),(79,1)}
        59:{3,5,7}:{(41,1),(42,1),(80,1),(81,1),(92,1),(129,1)}
        60:{3,4,6}:{(41,1),(43,1),(80,1),(81,1),(122,1)}
        61:{1,2,4,6}:{(42,1),(44,1),(45,1),(48,1),(80,1),(83,1),(122,1)}
        62:{1,2,5}:{(43,1),(81,1)}
        63:{2,4,6,7}:{(44,1),(46,1),(51,1),(84,1),(95,1),(135,1),(145,1)}
        64:{2,5,6}:{(44,1),(47,1),(84,1)}
        65:{1,4,6,7}:{(45,1),(46,1),(54,1),(86,1),(98,1),(134,1),(144,1)}
        66:{1,5,6}:{(45,1),(47,1),(86,1)}
        67:{3,5,7}:{(46,1),(47,1),(84,1),(86,1),(89,1)}
        68:{4,5,6}:{(47,1),(58,1),(89,1),(122,1)}
        69:{1,2,6,7}:{(48,1),(51,1),(54,1),(90,1),(144,1),(145,1),(146,1)}
        70:{1,2,5,6}:{(48,1),(49,1),(52,1),(55,1),(90,1),(91,1),(125,1),(128,1)}
        71:{1,2,4,5}:{(49,1),(50,1),(53,1),(56,1),(91,1),(92,1),(97,1),(100,1),(132,1)}
        72:{3,4}:{(50,1),(92,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(57,1),(84,1),(90,1),(95,1),(121,1),(124,1),(129,1)}
        74:{2,4,6}:{(52,1),(53,1),(58,1),(95,1),(96,1),(122,1)}
        75:{3,4,5}:{(53,1),(92,1),(96,1),(97,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(57,1),(86,1),(90,1),(98,1),(121,1),(127,1),(129,1)}
        77:{1,4,6}:{(55,1),(56,1),(58,1),(98,1),(99,1),(122,1)}
        78:{3,4,5}:{(56,1),(92,1),(99,1),(100,1)}
        79:{4,7}:{(57,1),(58,1)}
        80:{3,6}:{(59,1),(61,1)}
        81:{3,5}:{(60,1),(62,1),(103,1)}
        82:{1,2,4,6,7}:{(61,1),(63,1),(65,1),(69,1),(101,1),(104,1),(112,1),(136,1)}
        83:{1,2,5,6}:{(61,1),(62,1),(64,1),(66,1),(102,1),(104,1)}
        84:{2,5,7}:{(63,1),(64,1),(67,1)}
        85:{2,4,5,6}:{(64,1),(68,1),(74,1),(106,1),(107,1)}
        86:{1,5,7}:{(65,1),(66,1),(67,1)}
        87:{1,4,5,6}:{(66,1),(68,1),(77,1),(109,1),(110,1)}
        88:{3,5,6,7}:{(67,1),(105,1),(108,1),(111,1),(137,1),(139,1)}
        89:{4,5,7}:{(67,1),(68,1),(79,1),(111,1),(136,1)}
        90:{1,2,5,7}:{(69,1),(70,1),(73,1),(76,1),(112,1),(138,1),(140,1)}
        91:{1,2,4,6}:{(70,1),(71,1),(74,1),(77,1),(112,1),(113,1),(118,1),(120,1),(143,1)}
        92:{3,5}:{(71,1),(72,1),(113,1)}
        93:{1,3,4}:{(72,1),(114,1),(116,1)}
        94:{2,3,4}:{(72,1),(115,1),(116,1)}
        95:{2,4,7}:{(73,1),(74,1),(79,1),(117,1),(136,1)}
        96:{3,4,6}:{(74,1),(75,1),(107,1),(113,1),(117,1),(118,1)}
        97:{1,4,5}:{(75,1),(114,1),(118,1)}
        98:{1,4,7}:{(76,1),(77,1),(79,1),(119,1),(136,1)}
        99:{3,4,6}:{(77,1),(78,1),(110,1),(113,1),(119,1),(120,1)}
       100:{2,4,5}:{(78,1),(115,1),(120,1)}
       101:{3,6,7}:{(80,1),(82,1),(121,1),(129,1)}
       102:{3,5,6}:{(80,1),(81,1),(83,1),(121,1),(122,1)}
       103:{4,5}:{(81,1),(122,1)}
       104:{1,2,5,7}:{(82,1),(83,1),(84,1),(86,1),(121,1)}
       105:{2,5,6,7}:{(84,1),(88,1),(123,1),(145,1)}
       106:{2,4,5,7}:{(84,1),(85,1),(89,1),(95,1),(123,1),(124,1)}
       107:{3,5,6}:{(85,1),(96,1),(124,1),(125,1)}
       108:{1,5,6,7}:{(86,1),(88,1),(126,1),(144,1)}
       109:{1,4,5,7}:{(86,1),(87,1),(89,1),(98,1),(126,1),(127,1)}
       110:{3,5,6}:{(87,1),(99,1),(127,1),(128,1)}
       111:{4,6,7}:{(88,1),(89,1)}
       112:{1,2,4,7}:{(90,1),(91,1),(95,1),(98,1),(129,1),(134,1),(135,1),(146,1)}
       113:{3,6}:{(91,1),(92,1),(129,1)}
       114:{1,3,5}:{(92,1),(93,1),(97,1),(130,1),(132,1)}
       115:{2,3,5}:{(92,1),(94,1),(100,1),(131,1),(132,1)}
       116:{1,2,4}:{(93,1),(94,1),(132,1),(133,1)}
       117:{3,4,7}:{(95,1),(96,1),(124,1),(129,1),(134,1)}
       118:{1,4,6}:{(96,1),(97,1),(125,1),(130,1),(134,1)}
       119:{3,4,7}:{(98,1),(99,1),(127,1),(129,1),(135,1)}
       120:{2,4,6}:{(99,1),(100,1),(128,1),(131,1),(135,1)}
       121:{3,5,7}:{(101,1),(102,1),(104,1),(136,1)}
       122:{4,6}:{(102,1),(103,1),(136,1)}
       123:{2,4,6,7}:{(105,1),(106,1),(111,1),(137,1)}
       124:{3,5,7}:{(106,1),(107,1),(117,1),(137,1),(138,1)}
       125:{1,5,6}:{(107,1),(118,1),(138,1)}
       126:{1,4,6,7}:{(108,1),(109,1),(111,1),(139,1)}
       127:{3,5,7}:{(109,1),(110,1),(119,1),(139,1),(140,1)}
       128:{2,5,6}:{(110,1),(120,1),(140,1)}
       129:{3,7}:{(112,1),(113,1)}
       130:{1,3,6}:{(113,1),(114,1),(118,1),(141,1),(143,1)}
       131:{2,3,6}:{(113,1),(115,1),(120,1),(142,1),(143,1)}
       132:{1,2,5}:{(114,1),(115,1),(116,1),(143,1)}
       133:{1,2,3}:{(116,1)}
       134:{1,4,7}:{(117,1),(118,1),(138,1),(141,1)}
       135:{2,4,7}:{(119,1),(120,1),(140,1),(142,1)}
       136:{4,7}:{(121,1),(122,1)}
       137:{3,6,7}:{(123,1),(124,1),(144,1)}
       138:{1,5,7}:{(124,1),(125,1),(134,1),(144,1)}
       139:{3,6,7}:{(126,1),(127,1),(145,1)}
       140:{2,5,7}:{(127,1),(128,1),(135,1),(145,1)}
       141:{1,3,7}:{(129,1),(130,1),(134,1),(146,1)}
       142:{2,3,7}:{(129,1),(131,1),(135,1),(146,1)}
       143:{1,2,6}:{(130,1),(131,1),(132,1),(146,1)}
       144:{1,6,7}:{(137,1),(138,1)}
       145:{2,6,7}:{(139,1),(140,1)}
       146:{1,2,7}:{(141,1),(142,1),(143,1)}

 869 :   0:{1,2,3,5}:{(1,1),(2,1),(7,1),(11,1),(13,1),(31,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(22,1),(48,1)}
         2:{1,2,4}:{(0,1),(3,1)}
         3:{3,4}:{(2,1),(11,1)}
         4:{1,2,3,7}:{(1,1),(12,1),(37,1),(67,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1),(38,1)}
         6:{1,2,4,5}:{(2,1),(11,1),(13,1),(14,1),(28,1),(29,1),(31,1),(34,1)}
         7:{1,2,3}:{(17,1)}
         8:{2,3,4}:{(3,1),(17,1),(18,1),(40,1)}
         9:{1,3,4}:{(3,1),(17,1),(19,1),(40,1)}
        10:{3,4,6}:{(3,1),(5,1),(20,1),(21,1),(22,1),(52,1),(53,1)}
        11:{3,5}:{(3,1),(6,1),(22,1)}
        12:{1,2,4,7}:{(4,1),(5,1),(20,1),(23,1)}
        13:{1,2,5}:{(5,1),(21,1)}
        14:{1,2,4,6}:{(6,1),(22,1),(24,1),(25,1),(44,1),(45,1),(48,1),(52,1)}
        15:{1,2,3,5}:{(7,1),(26,1),(27,1),(31,1),(57,1),(59,1)}
        16:{3,4,5}:{(11,1),(28,1),(29,1),(30,1),(34,1),(57,1),(83,1)}
        17:{1,2,4}:{(7,1),(8,1),(9,1),(31,1)}
        18:{2,3,5}:{(8,1),(11,1),(28,1),(31,1),(32,1),(57,1)}
        19:{1,3,5}:{(9,1),(11,1),(29,1),(31,1),(33,1),(57,1)}
        20:{3,4,7}:{(10,1),(12,1),(35,1),(37,1),(69,1)}
        21:{3,5}:{(10,1),(13,1),(34,1)}
        22:{3,6}:{(11,1),(14,1),(37,1)}
        23:{1,2,5,7}:{(12,1),(13,1),(35,1),(38,1)}
        24:{1,2,5,6}:{(13,1),(14,1),(36,1),(38,1),(39,1),(61,1),(63,1)}
        25:{1,2,4,7}:{(14,1),(37,1),(39,1),(62,1),(64,1),(67,1),(69,1)}
        26:{1,2,3,6}:{(15,1),(41,1),(42,1),(48,1),(73,1)}
        27:{1,2,4}:{(15,1),(40,1)}
        28:{2,4,5}:{(16,1),(18,1),(44,1)}
        29:{1,4,5}:{(16,1),(19,1),(45,1)}
        30:{3,4,6}:{(16,1),(22,1),(44,1),(45,1),(46,1),(47,1),(52,1),(73,1),(94,1)}
        31:{1,2,5}:{(17,1),(18,1),(19,1),(48,1)}
        32:{2,3,6}:{(18,1),(22,1),(44,1),(48,1),(49,1),(73,1)}
        33:{1,3,6}:{(19,1),(22,1),(45,1),(48,1),(50,1),(73,1)}
        34:{4,5}:{(21,1),(52,1)}
        35:{3,5,7}:{(20,1),(21,1),(23,1),(51,1),(53,1)}
        36:{3,5,6}:{(21,1),(22,1),(24,1),(52,1),(53,1),(54,1),(81,1)}
        37:{3,7}:{(22,1),(25,1)}
        38:{1,2,6}:{(23,1),(53,1)}
        39:{1,2,5,7}:{(24,1),(25,1),(54,1),(55,1),(77,1),(78,1)}
        40:{3,4}:{(27,1),(57,1)}
        41:{1,2,3,7}:{(26,1),(58,1),(67,1),(86,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(56,1),(58,1),(59,1),(87,1)}
        43:{1,2,4,5}:{(27,1),(28,1),(29,1),(31,1),(57,1),(59,1),(60,1),(83,1)}
        44:{2,4,6}:{(28,1),(30,1),(32,1),(61,1),(62,1)}
        45:{1,4,6}:{(29,1),(30,1),(33,1),(63,1),(64,1)}
        46:{3,5,6}:{(30,1),(61,1),(63,1),(65,1),(66,1)}
        47:{3,4,7}:{(30,1),(37,1),(62,1),(64,1),(66,1),(69,1),(86,1),(100,1)}
        48:{1,2,6}:{(31,1),(32,1),(33,1),(67,1)}
        49:{2,3,7}:{(32,1),(37,1),(62,1),(67,1),(86,1)}
        50:{1,3,7}:{(33,1),(37,1),(64,1),(67,1),(86,1)}
        51:{4,5,7}:{(34,1),(35,1),(68,1),(69,1),(92,1)}
        52:{4,6}:{(34,1),(36,1),(69,1)}
        53:{3,6}:{(35,1),(38,1),(68,1)}
        54:{3,5,7}:{(36,1),(37,1),(39,1),(69,1),(70,1),(92,1)}
        55:{1,2,6,7}:{(38,1),(39,1),(70,1),(89,1),(90,1)}
        56:{3,4,6}:{(40,1),(42,1),(71,1),(72,1),(73,1),(94,1),(95,1)}
        57:{3,5}:{(40,1),(43,1),(73,1)}
        58:{1,2,4,7}:{(41,1),(42,1),(71,1),(74,1)}
        59:{1,2,5}:{(42,1),(72,1)}
        60:{1,2,4,6}:{(43,1),(44,1),(45,1),(48,1),(73,1),(75,1),(76,1),(94,1)}
        61:{2,5,6}:{(44,1),(46,1),(77,1)}
        62:{2,4,7}:{(44,1),(47,1),(49,1),(77,1)}
        63:{1,5,6}:{(45,1),(46,1),(78,1)}
        64:{1,4,7}:{(45,1),(47,1),(50,1),(78,1)}
        65:{4,5,6}:{(46,1),(52,1),(79,1),(81,1),(94,1),(102,1)}
        66:{3,5,7}:{(46,1),(47,1),(77,1),(78,1),(79,1),(80,1)}
        67:{1,2,7}:{(48,1),(49,1),(50,1)}
        68:{4,6}:{(51,1),(53,1),(81,1)}
        69:{4,7}:{(52,1),(54,1)}
        70:{3,6,7}:{(53,1),(54,1),(55,1),(82,1)}
        71:{3,4,7}:{(56,1),(58,1),(84,1),(86,1),(100,1)}
        72:{3,5}:{(56,1),(59,1),(83,1)}
        73:{3,6}:{(57,1),(60,1),(86,1)}
        74:{1,2,5,7}:{(58,1),(59,1),(84,1),(87,1)}
        75:{1,2,5,6}:{(59,1),(60,1),(61,1),(63,1),(85,1),(87,1),(88,1)}
        76:{1,2,4,7}:{(60,1),(62,1),(64,1),(67,1),(86,1),(88,1),(100,1)}
        77:{2,5,7}:{(61,1),(62,1),(66,1),(89,1)}
        78:{1,5,7}:{(63,1),(64,1),(66,1),(90,1)}
        79:{4,5,7}:{(65,1),(66,1),(69,1),(91,1),(92,1),(100,1),(104,1)}
        80:{3,6,7}:{(66,1),(89,1),(90,1),(91,1)}
        81:{5,6}:{(68,1),(92,1)}
        82:{4,6,7}:{(68,1),(69,1),(70,1),(92,1)}
        83:{4,5}:{(72,1),(94,1)}
        84:{3,5,7}:{(71,1),(72,1),(74,1),(93,1),(95,1)}
        85:{3,5,6}:{(72,1),(73,1),(75,1),(94,1),(95,1),(96,1),(102,1)}
        86:{3,7}:{(73,1),(76,1)}
        87:{1,2,6}:{(74,1),(95,1)}
        88:{1,2,5,7}:{(75,1),(76,1),(77,1),(78,1),(96,1),(97,1)}
        89:{2,6,7}:{(77,1),(80,1)}
        90:{1,6,7}:{(78,1),(80,1)}
        91:{4,6,7}:{(79,1),(80,1),(98,1)}
        92:{5,7}:{(81,1),(82,1)}
        93:{4,5,7}:{(83,1),(84,1),(99,1),(100,1),(104,1)}
        94:{4,6}:{(83,1),(85,1),(100,1)}
        95:{3,6}:{(84,1),(87,1),(99,1)}
        96:{3,5,7}:{(85,1),(86,1),(88,1),(100,1),(101,1),(104,1)}
        97:{1,2,6,7}:{(87,1),(88,1),(89,1),(90,1),(101,1)}
        98:{5,6,7}:{(91,1),(92,1),(104,1)}
        99:{4,6}:{(93,1),(95,1),(102,1)}
       100:{4,7}:{(94,1),(96,1)}
       101:{3,6,7}:{(95,1),(96,1),(97,1),(103,1)}
       102:{5,6}:{(99,1),(104,1)}
       103:{4,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 870 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(11,1),(27,1),(31,1),(70,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(91,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(45,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(11,1),(22,1),(23,1),(26,1),(27,1),(35,1),(64,1),(71,1),(106,1)}
         4:{3,4,7}:{(1,1),(6,1),(10,1),(64,1),(113,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1)}
         6:{3,5,7}:{(3,1),(4,1),(16,1),(21,1),(92,1),(125,1)}
         7:{1,2,4,6}:{(3,1),(16,1),(17,1),(38,1),(39,1),(45,1),(48,1)}
         8:{1,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(79,1),(85,1),(125,1),(130,1)}
         9:{2,3,4,7}:{(4,1),(15,1),(18,1),(20,1),(79,1),(86,1),(125,1),(131,1)}
        10:{3,4,6}:{(4,1),(5,1),(16,1),(21,1),(48,1)}
        11:{1,2,5}:{(5,1),(21,1)}
        12:{3,4,5,7}:{(6,1),(22,1),(23,1),(24,1),(35,1),(55,1),(56,1),(64,1),(72,1),(73,1),(107,1),(108,1),(135,1),(138,1)}
        13:{1,2,4,6,7}:{(7,1),(25,1),(26,1),(53,1),(54,1),(61,1),(64,1),(106,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(22,1),(27,1),(28,1),(33,1),(56,1),(114,1),(139,1)}
        15:{2,3,5,7}:{(6,1),(9,1),(23,1),(27,1),(29,1),(34,1),(56,1),(115,1),(140,1)}
        16:{3,6}:{(6,1),(7,1)}
        17:{1,2,5,6}:{(7,1),(11,1),(26,1),(30,1),(58,1),(59,1)}
        18:{1,2,4,7}:{(8,1),(9,1),(27,1),(31,1),(32,1),(142,1)}
        19:{1,3,4,6}:{(8,1),(10,1),(28,1),(32,1),(33,1),(68,1),(102,1),(110,1),(113,1)}
        20:{2,3,4,6}:{(9,1),(10,1),(29,1),(32,1),(34,1),(69,1),(102,1),(110,1),(113,1)}
        21:{3,5}:{(10,1),(11,1),(35,1)}
        22:{1,4,5,7}:{(12,1),(14,1),(38,1),(51,1),(76,1),(85,1),(94,1),(127,1)}
        23:{2,4,5,7}:{(12,1),(15,1),(39,1),(52,1),(77,1),(86,1),(93,1),(126,1)}
        24:{3,4,6}:{(12,1),(16,1),(38,1),(39,1),(40,1),(48,1),(80,1),(122,1)}
        25:{3,6,7}:{(13,1),(16,1),(43,1),(125,1)}
        26:{1,2,5,7}:{(13,1),(17,1),(43,1),(76,1),(77,1)}
        27:{1,2,5,7}:{(14,1),(15,1),(18,1),(45,1),(50,1),(132,1),(145,1)}
        28:{1,3,6}:{(14,1),(16,1),(38,1),(45,1),(80,1)}
        29:{2,3,6}:{(15,1),(16,1),(39,1),(45,1),(80,1)}
        30:{3,5,6}:{(16,1),(17,1),(21,1),(43,1),(48,1)}
        31:{1,2,3,7}:{(18,1),(49,1),(125,1),(145,1),(146,1)}
        32:{1,2,4,6}:{(18,1),(19,1),(20,1),(45,1),(49,1),(50,1),(91,1)}
        33:{1,3,5}:{(19,1),(21,1),(50,1),(51,1),(92,1),(121,1)}
        34:{2,3,5}:{(20,1),(21,1),(50,1),(52,1),(92,1),(121,1)}
        35:{4,5}:{(21,1),(48,1)}
        36:{3,4,6,7}:{(24,1),(25,1),(53,1),(54,1),(55,1),(64,1),(97,1),(98,1),(107,1),(108,1),(133,1),(134,1),(135,1)}
        37:{1,2,4,5,7}:{(22,1),(23,1),(27,1),(56,1),(57,1),(65,1),(71,1),(99,1),(106,1),(109,1),(135,1),(138,1)}
        38:{1,4,6}:{(22,1),(24,1),(28,1),(58,1)}
        39:{2,4,6}:{(23,1),(24,1),(29,1),(59,1)}
        40:{3,5,6}:{(24,1),(55,1),(58,1),(59,1),(60,1)}
        41:{1,3,6,7}:{(25,1),(28,1),(53,1),(61,1),(62,1),(98,1),(133,1),(139,1)}
        42:{2,3,6,7}:{(25,1),(29,1),(54,1),(61,1),(63,1),(98,1),(134,1),(140,1)}
        43:{3,5,7}:{(25,1),(26,1),(30,1),(64,1)}
        44:{1,2,3,5,7}:{(27,1),(31,1),(56,1),(65,1),(66,1),(70,1),(109,1)}
        45:{1,2,6}:{(27,1),(28,1),(29,1)}
        46:{1,3,5,6}:{(28,1),(30,1),(33,1),(58,1),(62,1),(67,1),(68,1),(103,1),(104,1),(110,1)}
        47:{2,3,5,6}:{(29,1),(30,1),(34,1),(59,1),(63,1),(67,1),(69,1),(103,1),(105,1),(110,1)}
        48:{4,6}:{(30,1),(35,1),(64,1)}
        49:{1,2,3,6}:{(31,1),(32,1),(70,1),(110,1),(141,1)}
        50:{1,2,5}:{(32,1),(33,1),(34,1)}
        51:{1,4,5}:{(33,1),(35,1),(68,1),(72,1),(138,1)}
        52:{2,4,5}:{(34,1),(35,1),(69,1),(73,1),(138,1)}
        53:{1,4,6,7}:{(36,1),(38,1),(41,1),(76,1),(85,1),(127,1),(144,1)}
        54:{2,4,6,7}:{(36,1),(39,1),(42,1),(77,1),(86,1),(126,1),(143,1)}
        55:{3,5,7}:{(36,1),(40,1),(76,1),(77,1),(78,1)}
        56:{3,5,7}:{(37,1),(79,1),(80,1),(92,1),(121,1),(125,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(39,1),(45,1),(80,1),(81,1),(122,1)}
        58:{1,5,6}:{(38,1),(40,1),(76,1)}
        59:{2,5,6}:{(39,1),(40,1),(77,1)}
        60:{4,5,6}:{(40,1),(48,1),(78,1),(122,1)}
        61:{1,2,6,7}:{(41,1),(42,1),(45,1),(84,1),(143,1),(144,1),(145,1)}
        62:{1,3,5,7}:{(41,1),(43,1),(46,1),(76,1),(84,1),(85,1),(118,1),(119,1),(125,1)}
        63:{2,3,5,7}:{(42,1),(43,1),(47,1),(77,1),(84,1),(86,1),(118,1),(120,1),(125,1)}
        64:{4,7}:{(43,1),(48,1)}
        65:{1,2,4,7}:{(44,1),(79,1),(87,1),(91,1)}
        66:{1,2,3,6}:{(44,1),(45,1),(80,1),(87,1)}
        67:{1,2,5,6}:{(45,1),(46,1),(47,1),(50,1),(84,1),(88,1),(123,1),(124,1)}
        68:{1,4,6}:{(46,1),(48,1),(51,1),(85,1),(89,1),(122,1)}
        69:{2,4,6}:{(47,1),(48,1),(52,1),(86,1),(90,1),(122,1)}
        70:{1,2,3,5}:{(49,1),(50,1),(91,1),(92,1),(132,1),(146,1)}
        71:{1,2,4,5}:{(50,1),(51,1),(52,1),(88,1),(91,1),(92,1),(93,1),(94,1),(132,1)}
        72:{3,4,5}:{(51,1),(89,1),(92,1),(93,1)}
        73:{3,4,5}:{(52,1),(90,1),(92,1),(94,1)}
        74:{3,5,6,7}:{(55,1),(95,1),(96,1),(97,1),(133,1),(134,1)}
        75:{1,2,4,6,7}:{(53,1),(54,1),(57,1),(61,1),(98,1),(99,1),(106,1),(135,1)}
        76:{1,5,7}:{(53,1),(55,1),(58,1)}
        77:{2,5,7}:{(54,1),(55,1),(59,1)}
        78:{4,5,7}:{(55,1),(60,1),(64,1),(97,1),(135,1)}
        79:{3,4,7}:{(56,1),(65,1),(102,1),(113,1),(135,1)}
        80:{3,6}:{(56,1),(57,1)}
        81:{1,2,5,6}:{(57,1),(58,1),(59,1),(99,1),(103,1),(109,1)}
        82:{1,4,5,6}:{(58,1),(60,1),(68,1),(100,1),(104,1)}
        83:{2,4,5,6}:{(59,1),(60,1),(69,1),(101,1),(105,1)}
        84:{1,2,5,7}:{(61,1),(62,1),(63,1),(67,1),(106,1),(136,1),(137,1)}
        85:{1,4,7}:{(62,1),(64,1),(68,1),(107,1),(135,1)}
        86:{2,4,7}:{(63,1),(64,1),(69,1),(108,1),(135,1)}
        87:{1,2,4,6}:{(65,1),(66,1),(102,1),(109,1)}
        88:{1,2,4,6}:{(67,1),(68,1),(69,1),(71,1),(106,1),(110,1),(111,1),(112,1),(141,1)}
        89:{3,4,6}:{(68,1),(72,1),(104,1),(107,1),(110,1),(111,1)}
        90:{3,4,6}:{(69,1),(73,1),(105,1),(108,1),(110,1),(112,1)}
        91:{1,2,4}:{(70,1),(113,1)}
        92:{3,5}:{(71,1),(110,1),(113,1)}
        93:{2,4,5}:{(72,1),(111,1),(115,1)}
        94:{1,4,5}:{(73,1),(112,1),(114,1)}
        95:{1,5,6,7}:{(74,1),(76,1),(116,1),(144,1)}
        96:{2,5,6,7}:{(74,1),(77,1),(117,1),(143,1)}
        97:{4,6,7}:{(74,1),(78,1)}
        98:{3,6,7}:{(75,1),(80,1),(118,1),(125,1)}
        99:{1,2,5,7}:{(75,1),(76,1),(77,1),(81,1),(118,1)}
       100:{1,4,5,7}:{(76,1),(78,1),(82,1),(85,1),(116,1),(119,1)}
       101:{2,4,5,7}:{(77,1),(78,1),(83,1),(86,1),(117,1),(120,1)}
       102:{3,4,6}:{(79,1),(80,1),(87,1),(121,1),(122,1)}
       103:{3,5,6}:{(80,1),(81,1),(118,1),(121,1),(122,1)}
       104:{3,5,6}:{(82,1),(89,1),(119,1),(123,1)}
       105:{3,5,6}:{(83,1),(90,1),(120,1),(124,1)}
       106:{1,2,4,7}:{(84,1),(85,1),(86,1),(88,1),(125,1),(126,1),(127,1),(145,1)}
       107:{3,4,7}:{(85,1),(89,1),(119,1),(125,1),(126,1)}
       108:{3,4,7}:{(86,1),(90,1),(120,1),(125,1),(127,1)}
       109:{1,2,5}:{(87,1),(121,1)}
       110:{3,6}:{(88,1),(92,1),(125,1)}
       111:{2,4,6}:{(89,1),(93,1),(123,1),(126,1),(129,1)}
       112:{1,4,6}:{(90,1),(94,1),(124,1),(127,1),(128,1)}
       113:{3,4}:{(91,1),(92,1)}
       114:{1,3,5}:{(92,1),(94,1),(128,1),(130,1),(132,1)}
       115:{2,3,5}:{(92,1),(93,1),(129,1),(131,1),(132,1)}
       116:{1,4,6,7}:{(95,1),(97,1),(100,1),(133,1)}
       117:{2,4,6,7}:{(96,1),(97,1),(101,1),(134,1)}
       118:{3,5,7}:{(98,1),(99,1),(103,1),(135,1)}
       119:{3,5,7}:{(100,1),(104,1),(107,1),(133,1),(136,1)}
       120:{3,5,7}:{(101,1),(105,1),(108,1),(134,1),(137,1)}
       121:{3,5}:{(102,1),(109,1),(138,1)}
       122:{4,6}:{(103,1),(135,1),(138,1)}
       123:{2,5,6}:{(104,1),(111,1),(136,1)}
       124:{1,5,6}:{(105,1),(112,1),(137,1)}
       125:{3,7}:{(106,1),(110,1)}
       126:{2,4,7}:{(107,1),(111,1),(136,1),(140,1)}
       127:{1,4,7}:{(108,1),(112,1),(137,1),(139,1)}
       128:{1,3,6}:{(110,1),(112,1),(114,1),(139,1),(141,1)}
       129:{2,3,6}:{(110,1),(111,1),(115,1),(140,1),(141,1)}
       130:{1,3,4}:{(113,1),(114,1),(142,1)}
       131:{2,3,4}:{(113,1),(115,1),(142,1)}
       132:{1,2,5}:{(114,1),(115,1),(141,1),(142,1)}
       133:{3,6,7}:{(116,1),(119,1),(143,1)}
       134:{3,6,7}:{(117,1),(120,1),(144,1)}
       135:{4,7}:{(118,1),(122,1)}
       136:{2,5,7}:{(119,1),(123,1),(126,1),(143,1)}
       137:{1,5,7}:{(120,1),(124,1),(127,1),(144,1)}
       138:{4,5}:{(121,1),(122,1)}
       139:{1,3,7}:{(125,1),(127,1),(128,1),(145,1)}
       140:{2,3,7}:{(125,1),(126,1),(129,1),(145,1)}
       141:{1,2,6}:{(128,1),(129,1),(132,1),(145,1)}
       142:{1,2,4}:{(130,1),(131,1),(132,1),(146,1)}
       143:{2,6,7}:{(133,1),(136,1)}
       144:{1,6,7}:{(134,1),(137,1)}
       145:{1,2,7}:{(139,1),(140,1),(141,1)}
       146:{1,2,3}:{(142,1)}

 871 :   0:{1,2,3,6,7}:{(1,1),(2,1),(26,1),(56,1),(57,1),(61,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(6,1),(15,1),(68,1),(69,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(43,1),(48,1),(75,1),(76,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(11,1),(22,1),(26,1)}
         4:{1,2,5,7}:{(1,1),(7,1),(8,1),(85,1),(86,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(10,1),(26,1),(29,1),(59,1),(60,1),(61,1),(65,1),(66,1)}
         6:{1,2,4,7}:{(2,1),(10,1),(11,1),(91,1),(92,1)}
         7:{3,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{1,2,5,6}:{(4,1),(12,1),(15,1),(70,1),(71,1)}
         9:{1,2,4,5,7}:{(4,1),(6,1),(13,1),(15,1),(16,1),(17,1),(36,1),(37,1),(43,1)}
        10:{1,2,4,6}:{(5,1),(6,1),(17,1),(18,1),(78,1),(79,1)}
        11:{3,4,7}:{(6,1),(16,1),(18,1)}
        12:{3,5,6}:{(7,1),(8,1),(22,1),(26,1)}
        13:{4,5,7}:{(7,1),(22,1)}
        14:{1,2,5,6,7}:{(8,1),(21,1),(24,1),(85,1),(86,1)}
        15:{1,2,4,6}:{(8,1),(9,1),(22,1),(26,1),(52,1),(53,1),(61,1)}
        16:{3,5,7}:{(9,1),(11,1),(26,1),(29,1)}
        17:{1,2,4,5}:{(10,1),(29,1),(63,1),(64,1),(65,1)}
        18:{3,4,6}:{(10,1),(11,1),(26,1),(29,1)}
        19:{1,3,4,7}:{(11,1),(27,1),(30,1),(32,1),(90,1),(91,1),(109,1)}
        20:{2,3,4,7}:{(11,1),(28,1),(31,1),(32,1),(90,1),(92,1),(109,1)}
        21:{3,5,6,7}:{(12,1),(14,1),(33,1),(39,1),(67,1)}
        22:{4,6}:{(12,1),(13,1)}
        23:{3,4,5,7}:{(13,1),(16,1),(35,1),(36,1),(37,1),(44,1),(67,1),(73,1),(74,1),(110,1),(111,1)}
        24:{1,2,4,6,7}:{(14,1),(15,1),(33,1),(38,1),(39,1),(68,1),(69,1),(77,1)}
        25:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(38,1),(40,1),(70,1),(71,1),(78,1),(79,1),(80,1)}
        26:{3,6}:{(15,1),(16,1)}
        27:{1,3,5,7}:{(16,1),(19,1),(36,1),(41,1),(43,1),(45,1),(73,1)}
        28:{2,3,5,7}:{(16,1),(20,1),(37,1),(42,1),(43,1),(46,1),(73,1)}
        29:{3,5}:{(17,1),(18,1)}
        30:{1,3,4,6}:{(18,1),(19,1),(41,1),(45,1),(47,1),(78,1),(101,1),(103,1),(105,1)}
        31:{2,3,4,6}:{(18,1),(20,1),(42,1),(46,1),(47,1),(79,1),(101,1),(103,1),(105,1)}
        32:{1,2,4,7}:{(19,1),(20,1),(43,1),(47,1),(48,1)}
        33:{4,6,7}:{(21,1),(22,1),(49,1)}
        34:{4,5,6}:{(22,1),(49,1),(51,1),(107,1)}
        35:{3,4,6}:{(22,1),(23,1),(26,1),(51,1),(52,1),(53,1),(89,1),(107,1)}
        36:{1,4,5,7}:{(23,1),(27,1),(52,1),(63,1),(85,1),(91,1)}
        37:{2,4,5,7}:{(23,1),(28,1),(53,1),(64,1),(86,1),(92,1)}
        38:{1,2,4,5,7}:{(24,1),(25,1),(49,1),(55,1),(85,1),(86,1),(91,1),(92,1),(93,1)}
        39:{3,6,7}:{(24,1),(26,1),(55,1)}
        40:{3,5,6}:{(25,1),(26,1),(29,1),(55,1),(58,1)}
        41:{1,3,6}:{(26,1),(27,1),(52,1),(61,1),(89,1)}
        42:{2,3,6}:{(26,1),(28,1),(53,1),(61,1),(89,1)}
        43:{1,2,5,7}:{(27,1),(28,1),(32,1),(61,1),(65,1)}
        44:{3,4,5}:{(29,1),(58,1),(63,1),(64,1),(96,1)}
        45:{1,3,5}:{(29,1),(30,1),(63,1),(65,1),(96,1),(108,1)}
        46:{2,3,5}:{(29,1),(31,1),(64,1),(65,1),(96,1),(108,1)}
        47:{1,2,4,6}:{(30,1),(31,1),(32,1),(61,1),(65,1),(66,1),(97,1)}
        48:{1,2,3,7}:{(32,1),(66,1),(109,1)}
        49:{4,5,7}:{(33,1),(34,1),(67,1),(110,1)}
        50:{3,4,6,7}:{(33,1),(35,1),(39,1),(67,1),(68,1),(69,1),(74,1),(99,1),(110,1)}
        51:{3,5,6}:{(34,1),(35,1),(67,1),(70,1),(71,1)}
        52:{1,4,6}:{(35,1),(36,1),(41,1),(70,1)}
        53:{2,4,6}:{(35,1),(37,1),(42,1),(71,1)}
        54:{1,2,4,5,7}:{(36,1),(37,1),(43,1),(72,1),(73,1),(82,1),(83,1),(98,1),(102,1),(104,1),(110,1),(111,1)}
        55:{3,5,7}:{(38,1),(39,1),(40,1),(74,1)}
        56:{1,3,6,7}:{(39,1),(41,1),(68,1),(75,1),(77,1),(99,1)}
        57:{2,3,6,7}:{(39,1),(42,1),(69,1),(76,1),(77,1),(99,1)}
        58:{3,4,6}:{(40,1),(44,1),(74,1),(78,1),(79,1),(103,1)}
        59:{1,3,5,6}:{(40,1),(41,1),(45,1),(70,1),(75,1),(78,1),(80,1),(100,1),(103,1)}
        60:{2,3,5,6}:{(40,1),(42,1),(46,1),(71,1),(76,1),(79,1),(80,1),(100,1),(103,1)}
        61:{1,2,6}:{(41,1),(42,1),(43,1)}
        62:{1,2,3,5,7}:{(43,1),(48,1),(73,1),(81,1),(82,1),(84,1),(104,1)}
        63:{1,4,5}:{(44,1),(45,1),(78,1),(111,1)}
        64:{2,4,5}:{(44,1),(46,1),(79,1),(111,1)}
        65:{1,2,5}:{(45,1),(46,1),(47,1)}
        66:{1,2,3,6}:{(47,1),(48,1),(84,1),(103,1)}
        67:{3,5,7}:{(49,1),(50,1),(51,1),(85,1),(86,1)}
        68:{1,4,6,7}:{(50,1),(52,1),(56,1),(85,1),(91,1)}
        69:{2,4,6,7}:{(50,1),(53,1),(57,1),(86,1),(92,1)}
        70:{1,5,6}:{(51,1),(52,1),(85,1)}
        71:{2,5,6}:{(51,1),(53,1),(86,1)}
        72:{1,2,4,6}:{(52,1),(53,1),(54,1),(61,1),(88,1),(89,1),(107,1)}
        73:{3,5,7}:{(54,1),(89,1),(90,1),(96,1),(108,1),(109,1)}
        74:{3,4,7}:{(55,1),(58,1),(91,1),(92,1),(109,1)}
        75:{1,3,5,7}:{(55,1),(56,1),(59,1),(85,1),(91,1),(93,1),(106,1),(109,1)}
        76:{2,3,5,7}:{(55,1),(57,1),(60,1),(86,1),(92,1),(93,1),(106,1),(109,1)}
        77:{1,2,6,7}:{(56,1),(57,1),(61,1),(93,1)}
        78:{1,4,6}:{(58,1),(59,1),(63,1),(91,1),(107,1)}
        79:{2,4,6}:{(58,1),(60,1),(64,1),(92,1),(107,1)}
        80:{1,2,5,6}:{(59,1),(60,1),(61,1),(65,1),(93,1),(94,1)}
        81:{1,2,3,6}:{(61,1),(62,1),(89,1),(95,1)}
        82:{1,2,4,7}:{(62,1),(90,1),(95,1),(97,1)}
        83:{1,2,4,5}:{(63,1),(64,1),(65,1),(94,1),(96,1),(97,1)}
        84:{1,2,3,5}:{(65,1),(66,1),(96,1),(97,1)}
        85:{1,5,7}:{(67,1),(68,1),(70,1)}
        86:{2,5,7}:{(67,1),(69,1),(71,1)}
        87:{1,2,4,6,7}:{(68,1),(69,1),(72,1),(77,1),(98,1),(99,1),(102,1),(110,1)}
        88:{1,2,5,6}:{(70,1),(71,1),(72,1),(98,1),(100,1),(104,1)}
        89:{3,6}:{(72,1),(73,1)}
        90:{3,4,7}:{(73,1),(82,1),(101,1),(105,1),(110,1)}
        91:{1,4,7}:{(74,1),(75,1),(78,1),(110,1)}
        92:{2,4,7}:{(74,1),(76,1),(79,1),(110,1)}
        93:{1,2,5,7}:{(75,1),(76,1),(77,1),(80,1),(102,1)}
        94:{1,2,4,6}:{(78,1),(79,1),(80,1),(83,1),(102,1),(103,1)}
        95:{1,2,4,6}:{(81,1),(82,1),(101,1),(104,1)}
        96:{3,5}:{(83,1),(103,1),(105,1)}
        97:{1,2,4}:{(84,1),(105,1)}
        98:{1,2,5,7}:{(85,1),(86,1),(87,1),(88,1),(106,1)}
        99:{3,6,7}:{(87,1),(89,1),(106,1),(109,1)}
       100:{3,5,6}:{(88,1),(89,1),(106,1),(107,1),(108,1)}
       101:{3,4,6}:{(89,1),(90,1),(95,1),(107,1),(108,1)}
       102:{1,2,4,7}:{(91,1),(92,1),(93,1),(94,1),(109,1)}
       103:{3,6}:{(94,1),(96,1),(109,1)}
       104:{1,2,5}:{(95,1),(108,1)}
       105:{3,4}:{(96,1),(97,1)}
       106:{3,5,7}:{(98,1),(99,1),(100,1),(110,1)}
       107:{4,6}:{(100,1),(110,1),(111,1)}
       108:{3,5}:{(101,1),(104,1),(111,1)}
       109:{3,7}:{(102,1),(103,1)}
       110:{4,7}:{(106,1),(107,1)}
       111:{4,5}:{(107,1),(108,1)}

 872 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(33,1),(60,1)}
         1:{1,2,3,5}:{(0,1),(5,1),(7,1),(17,1),(20,1),(45,1)}
         2:{1,2,3,7}:{(0,1),(6,1),(48,1),(75,1)}
         3:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(22,1)}
         4:{3,4,6}:{(3,1),(8,1),(9,1),(10,1),(27,1),(28,1),(33,1)}
         5:{1,2,4}:{(1,1),(10,1)}
         6:{1,2,4,7}:{(2,1),(3,1),(8,1),(12,1)}
         7:{1,2,5}:{(3,1),(9,1)}
         8:{3,4,7}:{(4,1),(6,1),(15,1),(43,1),(48,1)}
         9:{3,5}:{(4,1),(7,1),(14,1)}
        10:{3,4}:{(5,1),(20,1)}
        11:{1,2,4,5}:{(5,1),(7,1),(14,1),(20,1),(21,1),(39,1),(40,1),(45,1)}
        12:{1,2,5,7}:{(6,1),(7,1),(15,1),(22,1)}
        13:{1,2,5,6}:{(7,1),(16,1),(21,1),(22,1),(23,1),(66,1),(67,1)}
        14:{4,5}:{(9,1),(27,1)}
        15:{3,5,7}:{(8,1),(9,1),(12,1),(26,1),(28,1)}
        16:{3,5,6}:{(9,1),(13,1),(27,1),(28,1),(29,1),(33,1),(58,1)}
        17:{1,2,3}:{(30,1)}
        18:{2,3,4}:{(10,1),(30,1),(31,1),(53,1)}
        19:{1,3,4}:{(10,1),(30,1),(32,1),(53,1)}
        20:{3,5}:{(10,1),(11,1),(33,1)}
        21:{1,2,4,6}:{(11,1),(13,1),(27,1),(33,1),(34,1),(55,1),(56,1),(60,1)}
        22:{1,2,6}:{(12,1),(28,1)}
        23:{1,2,5,7}:{(13,1),(29,1),(34,1),(35,1),(80,1),(81,1)}
        24:{1,2,3,5}:{(17,1),(36,1),(38,1),(45,1),(65,1),(70,1)}
        25:{3,4,5}:{(14,1),(20,1),(39,1),(40,1),(41,1),(70,1),(86,1)}
        26:{4,5,7}:{(14,1),(15,1),(42,1),(43,1),(74,1)}
        27:{4,6}:{(14,1),(16,1),(43,1)}
        28:{3,6}:{(15,1),(22,1),(42,1)}
        29:{3,5,7}:{(16,1),(23,1),(43,1),(44,1),(48,1),(74,1)}
        30:{1,2,4}:{(17,1),(18,1),(19,1),(45,1)}
        31:{2,3,5}:{(18,1),(20,1),(39,1),(45,1),(46,1),(70,1)}
        32:{1,3,5}:{(19,1),(20,1),(40,1),(45,1),(47,1),(70,1)}
        33:{3,6}:{(20,1),(21,1),(48,1)}
        34:{1,2,4,7}:{(21,1),(23,1),(43,1),(48,1),(72,1),(73,1),(75,1)}
        35:{1,2,6,7}:{(22,1),(23,1),(44,1),(91,1),(92,1)}
        36:{1,2,3,6}:{(24,1),(49,1),(50,1),(60,1),(84,1)}
        37:{4,5,6}:{(27,1),(51,1),(52,1),(58,1),(95,1),(102,1)}
        38:{1,2,4}:{(24,1),(53,1)}
        39:{2,4,5}:{(25,1),(31,1),(55,1)}
        40:{1,4,5}:{(25,1),(32,1),(56,1)}
        41:{3,4,6}:{(25,1),(27,1),(33,1),(51,1),(55,1),(56,1),(57,1),(84,1),(95,1)}
        42:{4,6}:{(26,1),(28,1),(58,1)}
        43:{4,7}:{(27,1),(29,1)}
        44:{3,6,7}:{(28,1),(29,1),(35,1),(59,1)}
        45:{1,2,5}:{(30,1),(31,1),(32,1),(60,1)}
        46:{2,3,6}:{(31,1),(33,1),(55,1),(60,1),(61,1),(84,1)}
        47:{1,3,6}:{(32,1),(33,1),(56,1),(60,1),(62,1),(84,1)}
        48:{3,7}:{(33,1),(34,1)}
        49:{1,2,3,7}:{(36,1),(64,1),(75,1),(93,1)}
        50:{1,2,4,6}:{(36,1),(38,1),(63,1),(64,1),(65,1),(89,1)}
        51:{3,5,6}:{(37,1),(41,1),(66,1),(67,1),(68,1)}
        52:{4,5,7}:{(37,1),(43,1),(68,1),(69,1),(74,1),(100,1),(104,1)}
        53:{3,4}:{(38,1),(70,1)}
        54:{1,2,4,5}:{(38,1),(39,1),(40,1),(45,1),(65,1),(70,1),(71,1),(86,1)}
        55:{2,4,6}:{(39,1),(41,1),(46,1),(66,1),(72,1)}
        56:{1,4,6}:{(40,1),(41,1),(47,1),(67,1),(73,1)}
        57:{3,4,7}:{(41,1),(43,1),(48,1),(68,1),(72,1),(73,1),(93,1),(100,1)}
        58:{5,6}:{(42,1),(74,1)}
        59:{4,6,7}:{(42,1),(43,1),(44,1),(74,1)}
        60:{1,2,6}:{(45,1),(46,1),(47,1),(75,1)}
        61:{2,3,7}:{(46,1),(48,1),(72,1),(75,1),(93,1)}
        62:{1,3,7}:{(47,1),(48,1),(73,1),(75,1),(93,1)}
        63:{3,4,6}:{(50,1),(53,1),(76,1),(77,1),(84,1),(95,1),(96,1)}
        64:{1,2,4,7}:{(49,1),(50,1),(76,1),(78,1)}
        65:{1,2,5}:{(50,1),(77,1)}
        66:{2,5,6}:{(51,1),(55,1),(80,1)}
        67:{1,5,6}:{(51,1),(56,1),(81,1)}
        68:{3,5,7}:{(51,1),(52,1),(57,1),(80,1),(81,1),(82,1)}
        69:{4,6,7}:{(52,1),(82,1),(83,1)}
        70:{3,5}:{(53,1),(54,1),(84,1)}
        71:{1,2,4,6}:{(54,1),(55,1),(56,1),(60,1),(79,1),(84,1),(85,1),(95,1)}
        72:{2,4,7}:{(55,1),(57,1),(61,1),(80,1)}
        73:{1,4,7}:{(56,1),(57,1),(62,1),(81,1)}
        74:{5,7}:{(58,1),(59,1)}
        75:{1,2,7}:{(60,1),(61,1),(62,1)}
        76:{3,4,7}:{(63,1),(64,1),(87,1),(93,1),(100,1)}
        77:{3,5}:{(63,1),(65,1),(86,1)}
        78:{1,2,5,7}:{(64,1),(65,1),(87,1),(89,1)}
        79:{1,2,5,6}:{(65,1),(66,1),(67,1),(71,1),(88,1),(89,1),(90,1)}
        80:{2,5,7}:{(66,1),(68,1),(72,1),(91,1)}
        81:{1,5,7}:{(67,1),(68,1),(73,1),(92,1)}
        82:{3,6,7}:{(68,1),(69,1),(91,1),(92,1)}
        83:{5,6,7}:{(69,1),(74,1),(104,1)}
        84:{3,6}:{(70,1),(71,1),(93,1)}
        85:{1,2,4,7}:{(71,1),(72,1),(73,1),(75,1),(90,1),(93,1),(100,1)}
        86:{4,5}:{(77,1),(95,1)}
        87:{3,5,7}:{(76,1),(77,1),(78,1),(94,1),(96,1)}
        88:{3,5,6}:{(77,1),(79,1),(84,1),(95,1),(96,1),(97,1),(102,1)}
        89:{1,2,6}:{(78,1),(96,1)}
        90:{1,2,5,7}:{(79,1),(80,1),(81,1),(85,1),(97,1),(98,1)}
        91:{2,6,7}:{(80,1),(82,1)}
        92:{1,6,7}:{(81,1),(82,1)}
        93:{3,7}:{(84,1),(85,1)}
        94:{4,5,7}:{(86,1),(87,1),(99,1),(100,1),(104,1)}
        95:{4,6}:{(86,1),(88,1),(100,1)}
        96:{3,6}:{(87,1),(89,1),(99,1)}
        97:{3,5,7}:{(88,1),(90,1),(93,1),(100,1),(101,1),(104,1)}
        98:{1,2,6,7}:{(89,1),(90,1),(91,1),(92,1),(101,1)}
        99:{4,6}:{(94,1),(96,1),(102,1)}
       100:{4,7}:{(95,1),(97,1)}
       101:{3,6,7}:{(96,1),(97,1),(98,1),(103,1)}
       102:{5,6}:{(99,1),(104,1)}
       103:{4,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 873 :   0:{1,2,3,7}:{(1,1),(2,1),(51,1),(76,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(38,1),(62,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(5,1),(6,1)}
         3:{3,4,7}:{(2,1),(7,1),(8,1),(47,1),(51,1)}
         4:{1,2,3,5}:{(1,1),(9,1),(10,1),(23,1),(26,1),(48,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(10,1),(11,1)}
         6:{1,2,5,7}:{(2,1),(8,1),(10,1),(11,1)}
         7:{3,4,6}:{(3,1),(5,1),(13,1),(14,1),(15,1),(33,1),(38,1)}
         8:{3,5,7}:{(3,1),(6,1),(12,1),(13,1),(14,1)}
         9:{1,2,4}:{(4,1),(15,1)}
        10:{1,2,5}:{(5,1),(13,1)}
        11:{1,2,6}:{(6,1),(14,1)}
        12:{4,5,7}:{(8,1),(19,1),(20,1),(42,1),(47,1)}
        13:{3,5}:{(7,1),(10,1),(20,1)}
        14:{3,6}:{(8,1),(11,1),(19,1)}
        15:{3,4}:{(9,1),(26,1)}
        16:{1,2,4,5}:{(9,1),(10,1),(20,1),(26,1),(27,1),(44,1),(45,1),(48,1)}
        17:{1,2,5,6}:{(10,1),(11,1),(21,1),(27,1),(28,1),(69,1),(70,1)}
        18:{1,2,6,7}:{(11,1),(22,1),(28,1),(88,1),(89,1)}
        19:{4,6}:{(12,1),(14,1),(29,1)}
        20:{4,5}:{(13,1),(33,1)}
        21:{3,5,6}:{(13,1),(14,1),(17,1),(29,1),(33,1),(34,1),(38,1)}
        22:{3,6,7}:{(14,1),(18,1),(30,1),(34,1)}
        23:{1,2,3}:{(35,1)}
        24:{2,3,4}:{(15,1),(35,1),(36,1),(57,1)}
        25:{1,3,4}:{(15,1),(35,1),(37,1),(57,1)}
        26:{3,5}:{(15,1),(16,1),(38,1)}
        27:{1,2,4,6}:{(16,1),(17,1),(33,1),(38,1),(39,1),(59,1),(60,1),(62,1)}
        28:{1,2,5,7}:{(17,1),(18,1),(34,1),(39,1),(82,1),(83,1)}
        29:{5,6}:{(19,1),(42,1)}
        30:{4,6,7}:{(19,1),(22,1),(42,1),(47,1)}
        31:{1,2,3,5}:{(23,1),(40,1),(43,1),(48,1),(68,1),(72,1)}
        32:{3,4,5}:{(20,1),(26,1),(44,1),(45,1),(46,1),(72,1),(90,1)}
        33:{4,6}:{(20,1),(21,1),(47,1)}
        34:{3,5,7}:{(21,1),(22,1),(28,1),(42,1),(47,1),(51,1)}
        35:{1,2,4}:{(23,1),(24,1),(25,1),(48,1)}
        36:{2,3,5}:{(24,1),(26,1),(44,1),(48,1),(49,1),(72,1)}
        37:{1,3,5}:{(25,1),(26,1),(45,1),(48,1),(50,1),(72,1)}
        38:{3,6}:{(26,1),(27,1),(51,1)}
        39:{1,2,4,7}:{(27,1),(28,1),(47,1),(51,1),(74,1),(75,1),(76,1)}
        40:{1,2,3,6}:{(31,1),(52,1),(54,1),(62,1),(84,1)}
        41:{4,5,6}:{(29,1),(33,1),(55,1),(56,1),(97,1),(102,1)}
        42:{5,7}:{(29,1),(30,1)}
        43:{1,2,4}:{(31,1),(57,1)}
        44:{2,4,5}:{(32,1),(36,1),(59,1)}
        45:{1,4,5}:{(32,1),(37,1),(60,1)}
        46:{3,4,6}:{(32,1),(33,1),(38,1),(55,1),(59,1),(60,1),(61,1),(84,1),(97,1)}
        47:{4,7}:{(33,1),(34,1)}
        48:{1,2,5}:{(35,1),(36,1),(37,1),(62,1)}
        49:{2,3,6}:{(36,1),(38,1),(59,1),(62,1),(63,1),(84,1)}
        50:{1,3,6}:{(37,1),(38,1),(60,1),(62,1),(64,1),(84,1)}
        51:{3,7}:{(38,1),(39,1)}
        52:{1,2,3,7}:{(40,1),(65,1),(76,1),(93,1)}
        53:{5,6,7}:{(42,1),(66,1),(104,1)}
        54:{1,2,4,6}:{(40,1),(43,1),(65,1),(67,1),(68,1),(87,1)}
        55:{3,5,6}:{(41,1),(46,1),(69,1),(70,1),(71,1)}
        56:{4,5,7}:{(41,1),(42,1),(47,1),(66,1),(71,1),(101,1),(104,1)}
        57:{3,4}:{(43,1),(72,1)}
        58:{1,2,4,5}:{(43,1),(44,1),(45,1),(48,1),(68,1),(72,1),(73,1),(90,1)}
        59:{2,4,6}:{(44,1),(46,1),(49,1),(69,1),(74,1)}
        60:{1,4,6}:{(45,1),(46,1),(50,1),(70,1),(75,1)}
        61:{3,4,7}:{(46,1),(47,1),(51,1),(71,1),(74,1),(75,1),(93,1),(101,1)}
        62:{1,2,6}:{(48,1),(49,1),(50,1),(76,1)}
        63:{2,3,7}:{(49,1),(51,1),(74,1),(76,1),(93,1)}
        64:{1,3,7}:{(50,1),(51,1),(75,1),(76,1),(93,1)}
        65:{1,2,4,7}:{(52,1),(54,1),(77,1),(78,1)}
        66:{4,6,7}:{(53,1),(56,1),(79,1)}
        67:{3,4,6}:{(54,1),(57,1),(77,1),(80,1),(84,1),(95,1),(97,1)}
        68:{1,2,5}:{(54,1),(80,1)}
        69:{2,5,6}:{(55,1),(59,1),(82,1)}
        70:{1,5,6}:{(55,1),(60,1),(83,1)}
        71:{3,5,7}:{(55,1),(56,1),(61,1),(79,1),(82,1),(83,1)}
        72:{3,5}:{(57,1),(58,1),(84,1)}
        73:{1,2,4,6}:{(58,1),(59,1),(60,1),(62,1),(81,1),(84,1),(85,1),(97,1)}
        74:{2,4,7}:{(59,1),(61,1),(63,1),(82,1)}
        75:{1,4,7}:{(60,1),(61,1),(64,1),(83,1)}
        76:{1,2,7}:{(62,1),(63,1),(64,1)}
        77:{3,4,7}:{(65,1),(67,1),(86,1),(93,1),(101,1)}
        78:{1,2,5,7}:{(65,1),(68,1),(86,1),(87,1)}
        79:{3,6,7}:{(66,1),(71,1),(88,1),(89,1)}
        80:{3,5}:{(67,1),(68,1),(90,1)}
        81:{1,2,5,6}:{(68,1),(69,1),(70,1),(73,1),(87,1),(91,1),(92,1)}
        82:{2,5,7}:{(69,1),(71,1),(74,1),(88,1)}
        83:{1,5,7}:{(70,1),(71,1),(75,1),(89,1)}
        84:{3,6}:{(72,1),(73,1),(93,1)}
        85:{1,2,4,7}:{(73,1),(74,1),(75,1),(76,1),(92,1),(93,1),(101,1)}
        86:{3,5,7}:{(77,1),(78,1),(80,1),(94,1),(95,1)}
        87:{1,2,6}:{(78,1),(95,1)}
        88:{2,6,7}:{(79,1),(82,1)}
        89:{1,6,7}:{(79,1),(83,1)}
        90:{4,5}:{(80,1),(97,1)}
        91:{3,5,6}:{(80,1),(81,1),(84,1),(95,1),(97,1),(98,1),(102,1)}
        92:{1,2,5,7}:{(81,1),(82,1),(83,1),(85,1),(96,1),(98,1)}
        93:{3,7}:{(84,1),(85,1)}
        94:{4,5,7}:{(86,1),(90,1),(99,1),(101,1),(104,1)}
        95:{3,6}:{(86,1),(87,1),(99,1)}
        96:{1,2,6,7}:{(87,1),(88,1),(89,1),(92,1),(100,1)}
        97:{4,6}:{(90,1),(91,1),(101,1)}
        98:{3,5,7}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        99:{4,6}:{(94,1),(95,1),(102,1)}
       100:{3,6,7}:{(95,1),(96,1),(98,1),(103,1)}
       101:{4,7}:{(97,1),(98,1)}
       102:{5,6}:{(99,1),(104,1)}
       103:{4,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 874 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(20,1),(42,1),(48,1),(87,1),(100,1)}
         1:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(29,1),(33,1),(75,1)}
         2:{2,3,5}:{(0,1),(6,1),(8,1),(31,1),(110,1),(126,1)}
         3:{2,3,4,7}:{(0,1),(7,1),(9,1),(27,1),(67,1),(74,1),(113,1),(206,1)}
         4:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(20,1),(21,1),(42,1),(57,1),(105,1)}
         5:{1,3,6}:{(1,1),(14,1),(15,1),(42,1)}
         6:{1,2,5}:{(1,1),(2,1),(14,1),(101,1)}
         7:{1,2,4,7}:{(1,1),(3,1),(15,1),(17,1),(49,1),(208,1)}
         8:{2,4,5}:{(2,1),(12,1),(18,1),(147,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(17,1),(19,1),(20,1),(53,1),(133,1),(198,1),(201,1)}
        10:{2,4,5,6}:{(12,1),(21,1),(22,1),(57,1),(107,1)}
        11:{1,2,5,6}:{(4,1),(6,1),(23,1),(24,1),(25,1),(33,1),(37,1),(110,1),(153,1)}
        12:{2,4,6}:{(4,1),(8,1),(26,1),(27,1),(130,1)}
        13:{2,3,5,7}:{(4,1),(25,1),(27,1),(28,1),(38,1),(67,1),(71,1),(119,1)}
        14:{1,3,5}:{(5,1),(6,1),(29,1),(31,1)}
        15:{1,3,7}:{(5,1),(7,1),(67,1),(209,1)}
        16:{1,2,4,5}:{(6,1),(8,1),(24,1),(29,1),(31,1),(34,1),(61,1),(73,1),(76,1),(110,1)}
        17:{1,2,5,7}:{(6,1),(7,1),(9,1),(30,1),(33,1),(204,1),(207,1)}
        18:{3,4,5}:{(8,1),(26,1),(31,1),(34,1)}
        19:{2,4,5,7}:{(8,1),(9,1),(27,1),(35,1),(36,1),(71,1),(187,1),(191,1)}
        20:{2,3,6}:{(9,1),(33,1),(36,1),(79,1),(153,1)}
        21:{3,5,6}:{(10,1),(26,1),(37,1),(38,1)}
        22:{2,4,5,7}:{(10,1),(27,1),(38,1),(39,1),(71,1),(121,1)}
        23:{1,3,5,6}:{(11,1),(14,1),(40,1),(41,1),(42,1),(50,1),(85,1),(101,1),(105,1),(134,1),(135,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(16,1),(40,1),(42,1),(43,1),(45,1),(87,1),(90,1)}
        25:{1,2,5,7}:{(11,1),(13,1),(41,1),(43,1),(44,1),(58,1),(133,1)}
        26:{3,4,6}:{(12,1),(18,1),(21,1),(42,1),(45,1),(46,1)}
        27:{2,4,7}:{(12,1),(13,1),(46,1),(141,1)}
        28:{2,3,6,7}:{(13,1),(20,1),(44,1),(47,1),(59,1),(93,1),(198,1)}
        29:{1,4}:{(14,1),(48,1)}
        30:{1,3,5,7}:{(14,1),(15,1),(17,1),(49,1),(50,1),(53,1),(101,1),(196,1),(197,1),(200,1)}
        31:{3,5}:{(16,1),(42,1),(48,1)}
        32:{1,2,4,5,7}:{(16,1),(17,1),(19,1),(43,1),(49,1),(53,1),(54,1),(55,1),(86,1),(94,1),(99,1),(101,1),(102,1),(133,1),(141,1),(146,1),(147,1),(172,1),(173,1),(178,1),(196,1)}
        33:{1,2,6}:{(17,1),(20,1),(50,1)}
        34:{1,4,5}:{(18,1),(45,1),(51,1)}
        35:{3,4,5,7}:{(18,1),(19,1),(46,1),(53,1),(55,1),(56,1),(96,1),(141,1),(147,1),(174,1),(179,1)}
        36:{2,4,6}:{(19,1),(20,1),(56,1),(57,1)}
        37:{1,5,6}:{(21,1),(45,1),(58,1)}
        38:{3,5,7}:{(21,1),(22,1),(46,1),(58,1),(59,1)}
        39:{2,4,6,7}:{(22,1),(59,1),(60,1),(109,1)}
        40:{1,4,6}:{(23,1),(29,1),(61,1),(62,1),(63,1),(130,1)}
        41:{1,3,5,7}:{(23,1),(25,1),(63,1),(64,1),(67,1),(111,1),(115,1),(119,1)}
        42:{3,6}:{(24,1),(31,1),(67,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(27,1),(63,1),(67,1),(69,1),(113,1),(116,1)}
        44:{1,2,6,7}:{(25,1),(28,1),(33,1),(64,1),(83,1),(153,1),(204,1)}
        45:{1,4,6}:{(26,1),(34,1),(37,1),(65,1),(69,1)}
        46:{3,4,7}:{(26,1),(27,1),(38,1),(67,1),(69,1)}
        47:{2,4,6,7}:{(27,1),(28,1),(36,1),(70,1),(71,1),(169,1),(187,1)}
        48:{3,4}:{(29,1),(31,1),(73,1)}
        49:{1,4,7}:{(29,1),(30,1),(74,1),(75,1),(205,1)}
        50:{1,3,6}:{(30,1),(33,1),(75,1),(79,1),(203,1)}
        51:{1,3,5}:{(31,1),(34,1),(65,1),(72,1),(76,1)}
        52:{2,3,5}:{(31,1),(66,1),(73,1),(76,1),(110,1),(122,1)}
        53:{3,5,7}:{(31,1),(32,1),(67,1),(74,1),(79,1),(126,1),(186,1),(190,1)}
        54:{1,2,4,6}:{(32,1),(33,1),(36,1),(75,1),(79,1),(80,1),(81,1),(112,1),(125,1),(127,1),(130,1),(153,1),(184,1),(203,1)}
        55:{1,4,5,7}:{(34,1),(35,1),(69,1),(77,1),(81,1),(120,1),(158,1),(163,1)}
        56:{3,4,6}:{(35,1),(36,1),(79,1),(81,1),(82,1),(130,1)}
        57:{2,5,6}:{(36,1),(71,1),(82,1)}
        58:{1,5,7}:{(37,1),(38,1),(69,1),(83,1)}
        59:{3,6,7}:{(38,1),(39,1),(83,1)}
        60:{2,5,6,7}:{(39,1),(71,1),(84,1),(169,1)}
        61:{1,4,5}:{(40,1),(85,1),(101,1),(147,1)}
        62:{3,4,6}:{(40,1),(42,1),(48,1),(85,1),(87,1),(88,1),(134,1)}
        63:{1,4,7}:{(40,1),(41,1),(88,1),(141,1)}
        64:{1,3,6,7}:{(41,1),(44,1),(50,1),(89,1),(93,1),(134,1),(197,1)}
        65:{1,3,6}:{(42,1),(45,1),(51,1),(90,1),(91,1)}
        66:{2,3,6}:{(42,1),(52,1),(87,1),(90,1),(92,1)}
        67:{3,7}:{(42,1),(43,1)}
        68:{1,2,4,6,7}:{(43,1),(44,1),(47,1),(54,1),(89,1),(93,1),(94,1),(95,1),(136,1),(138,1),(141,1),(173,1)}
        69:{1,4,7}:{(45,1),(46,1),(58,1),(91,1)}
        70:{3,4,6,7}:{(46,1),(47,1),(56,1),(59,1),(93,1),(95,1),(96,1),(109,1),(141,1),(152,1),(174,1)}
        71:{2,5,7}:{(47,1),(57,1),(96,1)}
        72:{1,3,4}:{(48,1),(51,1),(97,1)}
        73:{2,4}:{(48,1),(52,1)}
        74:{3,4,7}:{(48,1),(49,1),(53,1),(99,1),(100,1),(141,1),(199,1)}
        75:{1,4,6}:{(49,1),(50,1),(100,1),(101,1)}
        76:{1,2,5}:{(51,1),(52,1),(90,1),(97,1)}
        77:{1,3,5,7}:{(51,1),(53,1),(55,1),(91,1),(98,1),(102,1),(103,1),(145,1),(196,1)}
        78:{2,3,5,7}:{(52,1),(53,1),(92,1),(99,1),(102,1),(104,1),(133,1),(143,1),(146,1),(177,1)}
        79:{3,6}:{(53,1),(54,1)}
        80:{1,2,5,6}:{(54,1),(57,1),(94,1),(101,1),(105,1),(106,1),(135,1),(146,1),(170,1)}
        81:{1,4,6}:{(55,1),(56,1),(103,1),(106,1)}
        82:{3,5,6}:{(56,1),(57,1),(96,1),(106,1),(107,1)}
        83:{1,6,7}:{(58,1),(59,1)}
        84:{3,5,6,7}:{(59,1),(60,1),(96,1),(108,1),(109,1),(152,1)}
        85:{3,5}:{(61,1),(62,1),(110,1)}
        86:{1,4,5,7}:{(61,1),(63,1),(111,1),(112,1),(115,1),(156,1)}
        87:{2,4,6}:{(62,1),(66,1),(73,1),(110,1),(113,1),(153,1)}
        88:{3,4,7}:{(62,1),(63,1),(67,1),(111,1),(113,1)}
        89:{1,4,6,7}:{(63,1),(64,1),(75,1),(112,1),(114,1),(115,1),(188,1),(203,1)}
        90:{1,2,6}:{(65,1),(66,1),(76,1),(116,1)}
        91:{1,3,7}:{(65,1),(67,1),(69,1),(116,1)}
        92:{2,3,7}:{(66,1),(67,1),(113,1),(116,1)}
        93:{3,6,7}:{(67,1),(68,1),(79,1),(119,1),(186,1)}
        94:{1,2,5,7}:{(68,1),(71,1),(80,1),(115,1),(119,1),(120,1),(155,1)}
        95:{1,4,6,7}:{(69,1),(70,1),(81,1),(83,1),(117,1),(120,1),(158,1)}
        96:{3,5,7}:{(70,1),(71,1),(82,1),(120,1),(121,1)}
        97:{1,2,4}:{(72,1),(73,1),(76,1),(122,1)}
        98:{1,3,4,7}:{(72,1),(74,1),(77,1),(123,1),(124,1),(158,1),(186,1),(188,1)}
        99:{2,4,7}:{(73,1),(74,1),(78,1),(125,1),(189,1)}
       100:{3,4,6}:{(74,1),(75,1),(79,1),(125,1),(126,1),(130,1)}
       101:{1,5}:{(75,1),(126,1)}
       102:{1,2,5,7}:{(76,1),(77,1),(78,1),(116,1),(123,1),(127,1),(162,1)}
       103:{1,3,6}:{(77,1),(79,1),(81,1),(127,1),(203,1)}
       104:{2,3,6}:{(78,1),(79,1),(125,1),(127,1),(153,1)}
       105:{3,5,6}:{(79,1),(80,1),(119,1),(126,1),(130,1)}
       106:{1,5,6}:{(81,1),(82,1),(120,1)}
       107:{4,5,6}:{(82,1),(121,1),(130,1)}
       108:{1,5,6,7}:{(83,1),(84,1),(120,1),(132,1)}
       109:{4,6,7}:{(84,1),(121,1)}
       110:{2,5}:{(85,1),(87,1)}
       111:{3,5,7}:{(85,1),(86,1),(88,1),(133,1),(134,1)}
       112:{1,4,6}:{(86,1),(134,1),(135,1),(171,1)}
       113:{2,4,7}:{(87,1),(88,1),(92,1),(133,1)}
       114:{3,4,6,7}:{(88,1),(89,1),(93,1),(100,1),(134,1),(136,1),(137,1),(141,1),(171,1),(175,1),(195,1)}
       115:{1,5,7}:{(89,1),(101,1),(135,1),(137,1)}
       116:{1,2,7}:{(90,1),(91,1),(92,1)}
       117:{1,3,6,7}:{(91,1),(93,1),(95,1),(103,1),(138,1),(139,1),(152,1)}
       118:{2,3,6,7}:{(92,1),(93,1),(104,1),(136,1),(138,1),(140,1),(195,1)}
       119:{3,5,7}:{(93,1),(94,1),(105,1),(141,1)}
       120:{1,5,7}:{(95,1),(96,1),(106,1)}
       121:{4,5,7}:{(96,1),(107,1),(109,1),(141,1)}
       122:{2,3}:{(97,1)}
       123:{1,2,4,7}:{(97,1),(98,1),(99,1),(102,1),(143,1),(144,1)}
       124:{1,3,4,6}:{(98,1),(100,1),(103,1),(144,1),(145,1),(149,1),(181,1),(183,1),(199,1)}
       125:{2,4,6}:{(99,1),(100,1),(104,1),(146,1)}
       126:{3,5}:{(100,1),(101,1),(146,1),(147,1)}
       127:{1,2,6}:{(102,1),(103,1),(104,1)}
       128:{1,3,5,6}:{(103,1),(105,1),(106,1),(139,1),(145,1),(148,1),(149,1),(151,1),(181,1)}
       129:{2,3,5,6}:{(104,1),(105,1),(140,1),(146,1),(148,1),(150,1),(170,1),(177,1),(180,1),(181,1),(195,1)}
       130:{4,6}:{(105,1),(141,1),(147,1)}
       131:{1,4,5,6}:{(106,1),(107,1),(142,1),(149,1),(151,1)}
       132:{1,4,6,7}:{(108,1),(109,1),(142,1),(152,1)}
       133:{2,5,7}:{(110,1),(111,1),(113,1),(153,1)}
       134:{3,6}:{(111,1),(112,1),(153,1)}
       135:{1,5,6}:{(112,1),(115,1),(154,1),(203,1)}
       136:{2,4,6,7}:{(113,1),(114,1),(118,1),(125,1),(153,1),(155,1),(159,1),(184,1)}
       137:{3,5,7}:{(114,1),(115,1),(126,1),(154,1),(155,1),(156,1)}
       138:{1,2,6,7}:{(116,1),(117,1),(118,1),(127,1),(157,1),(169,1),(203,1)}
       139:{1,3,5,7}:{(117,1),(119,1),(120,1),(128,1),(157,1),(158,1),(160,1),(186,1)}
       140:{2,3,5,7}:{(118,1),(119,1),(129,1),(155,1),(157,1),(159,1),(185,1),(186,1)}
       141:{4,7}:{(119,1),(130,1)}
       142:{1,4,5,7}:{(120,1),(121,1),(131,1),(132,1),(158,1),(160,1)}
       143:{2,3,7}:{(122,1),(123,1),(161,1),(186,1)}
       144:{1,2,4,6}:{(123,1),(124,1),(125,1),(127,1),(161,1),(162,1),(189,1)}
       145:{1,3,5}:{(124,1),(126,1),(162,1),(163,1),(190,1),(192,1)}
       146:{2,5}:{(125,1),(126,1)}
       147:{4,5}:{(126,1),(130,1)}
       148:{1,2,5,6}:{(127,1),(128,1),(129,1),(157,1),(162,1),(165,1),(168,1),(192,1),(203,1)}
       149:{1,4,6}:{(128,1),(130,1),(158,1),(163,1),(166,1)}
       150:{2,4,6}:{(129,1),(130,1),(159,1),(164,1),(167,1),(189,1)}
       151:{3,5,6}:{(131,1),(160,1),(166,1),(168,1)}
       152:{3,6,7}:{(132,1),(160,1),(169,1)}
       153:{2,6}:{(133,1),(134,1)}
       154:{3,5,6}:{(134,1),(135,1),(137,1),(170,1),(171,1),(195,1)}
       155:{2,5,7}:{(136,1),(137,1),(146,1),(170,1)}
       156:{4,5,7}:{(137,1),(141,1),(147,1),(171,1)}
       157:{1,2,5,7}:{(138,1),(139,1),(140,1),(148,1),(173,1),(176,1),(196,1)}
       158:{1,4,7}:{(139,1),(141,1),(149,1),(174,1)}
       159:{2,4,7}:{(140,1),(141,1),(150,1),(175,1)}
       160:{3,5,7}:{(142,1),(151,1),(152,1),(174,1),(176,1)}
       161:{2,3,6}:{(143,1),(144,1),(177,1),(181,1)}
       162:{1,2,5}:{(144,1),(145,1),(146,1),(177,1)}
       163:{1,4,5}:{(145,1),(147,1),(149,1),(179,1)}
       164:{2,4,5}:{(146,1),(147,1),(150,1),(180,1)}
       165:{1,2,4,6}:{(148,1),(149,1),(150,1),(173,1),(178,1),(181,1),(182,1),(183,1),(202,1)}
       166:{3,4,6}:{(149,1),(151,1),(174,1),(179,1),(181,1),(182,1)}
       167:{3,4,6}:{(150,1),(175,1),(180,1),(181,1),(183,1),(195,1),(199,1)}
       168:{2,5,6}:{(151,1),(176,1),(182,1)}
       169:{2,6,7}:{(152,1),(176,1)}
       170:{2,5,6}:{(153,1),(154,1),(155,1),(184,1)}
       171:{4,6}:{(154,1),(156,1)}
       172:{2,4,5,7}:{(155,1),(156,1),(159,1),(164,1),(184,1),(185,1)}
       173:{1,2,4,7}:{(157,1),(158,1),(159,1),(165,1),(186,1),(187,1),(188,1),(204,1)}
       174:{3,4,7}:{(158,1),(160,1),(166,1),(186,1),(187,1)}
       175:{3,4,7}:{(159,1),(167,1),(185,1),(186,1),(188,1)}
       176:{2,5,7}:{(160,1),(168,1),(169,1),(187,1)}
       177:{2,3,5}:{(161,1),(162,1),(189,1),(190,1)}
       178:{1,2,4,5}:{(162,1),(163,1),(164,1),(165,1),(189,1),(190,1),(191,1),(192,1),(205,1),(207,1)}
       179:{3,4,5}:{(163,1),(166,1),(190,1),(191,1)}
       180:{3,5}:{(164,1),(167,1),(192,1)}
       181:{3,6}:{(165,1),(186,1),(190,1)}
       182:{2,4,6}:{(166,1),(168,1),(187,1),(191,1),(194,1)}
       183:{1,4,6}:{(167,1),(188,1),(192,1),(193,1),(203,1),(205,1)}
       184:{2,4,6}:{(170,1),(171,1),(172,1),(195,1)}
       185:{3,5,7}:{(172,1),(175,1),(180,1),(195,1),(196,1)}
       186:{3,7}:{(173,1),(181,1)}
       187:{2,4,7}:{(174,1),(176,1),(182,1),(198,1)}
       188:{1,4,7}:{(175,1),(183,1),(196,1),(197,1)}
       189:{2,4}:{(177,1),(199,1)}
       190:{3,5}:{(178,1),(181,1),(199,1)}
       191:{2,4,5}:{(179,1),(182,1),(201,1)}
       192:{1,5}:{(180,1),(183,1)}
       193:{1,3,6}:{(181,1),(183,1),(197,1),(200,1),(202,1)}
       194:{2,3,6}:{(181,1),(182,1),(198,1),(201,1),(202,1)}
       195:{3,6}:{(184,1),(185,1),(203,1)}
       196:{1,5,7}:{(185,1),(188,1),(192,1),(203,1)}
       197:{1,3,7}:{(186,1),(188,1),(193,1),(204,1)}
       198:{2,3,7}:{(186,1),(187,1),(194,1),(204,1)}
       199:{3,4}:{(189,1),(190,1),(205,1)}
       200:{1,3,5}:{(190,1),(192,1),(193,1),(205,1),(207,1),(209,1)}
       201:{2,3,5}:{(190,1),(191,1),(194,1),(206,1),(207,1)}
       202:{1,2,6}:{(193,1),(194,1),(204,1),(207,1)}
       203:{1,6}:{(195,1),(196,1)}
       204:{1,2,7}:{(197,1),(198,1),(202,1)}
       205:{1,4}:{(199,1),(200,1)}
       206:{2,3,4}:{(199,1),(201,1),(208,1)}
       207:{1,2,5}:{(200,1),(201,1),(202,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{1,3}:{(208,1)}

 875 :   0:{1,3,4,6,7}:{(1,1),(2,1),(13,1),(18,1),(32,1),(34,1),(42,1),(63,1),(75,1),(99,1),(108,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(20,1),(21,1),(30,1),(61,1),(94,1),(112,1)}
         2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(29,1),(79,1),(109,1)}
         3:{1,3,5,6,7}:{(6,1),(8,1),(9,1),(28,1),(29,1),(59,1),(116,1)}
         4:{2,3,6,7}:{(1,1),(10,1),(34,1),(108,1),(124,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(10,1),(11,1),(44,1),(121,1)}
         6:{1,3,5,6}:{(2,1),(11,1),(13,1),(34,1),(37,1)}
         7:{1,4,5,7}:{(2,1),(13,1),(14,1),(75,1),(95,1)}
         8:{1,2,5,6,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(72,1),(77,1),(103,1)}
         9:{1,4,6,7}:{(3,1),(13,1),(17,1),(18,1),(75,1),(127,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(19,1),(20,1),(22,1),(130,1)}
        11:{1,2,5,6}:{(5,1),(6,1),(19,1),(21,1),(53,1),(79,1)}
        12:{1,2,4,5,7}:{(5,1),(7,1),(20,1),(21,1),(22,1),(25,1),(45,1),(47,1),(52,1),(79,1),(94,1),(110,1)}
        13:{1,4,6}:{(6,1),(7,1),(24,1)}
        14:{3,4,5,7}:{(7,1),(22,1),(24,1),(25,1),(29,1),(58,1),(78,1)}
        15:{2,3,5,6,7}:{(8,1),(19,1),(26,1),(28,1),(55,1),(60,1),(88,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(21,1),(26,1),(27,1),(28,1),(30,1),(56,1),(61,1),(94,1),(115,1)}
        17:{1,4,5,7}:{(9,1),(23,1),(29,1),(134,1)}
        18:{3,4,6,7}:{(9,1),(24,1),(28,1),(29,1),(30,1),(58,1),(133,1)}
        19:{2,3,5,6}:{(10,1),(11,1),(31,1),(34,1),(62,1)}
        20:{2,4,7}:{(10,1),(31,1),(32,1),(136,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(13,1),(31,1),(34,1),(38,1),(63,1),(69,1)}
        22:{3,5,7}:{(12,1),(32,1),(34,1),(62,1),(108,1),(122,1)}
        23:{1,4,5,6}:{(13,1),(17,1),(37,1)}
        24:{3,4,6}:{(13,1),(14,1),(34,1),(37,1),(38,1)}
        25:{2,4,5,7}:{(14,1),(36,1),(38,1),(44,1),(76,1),(96,1)}
        26:{2,4,6,7}:{(15,1),(31,1),(39,1),(40,1),(76,1),(102,1)}
        27:{1,2,4,5,7}:{(16,1),(17,1),(33,1),(39,1),(41,1),(44,1),(72,1),(75,1),(76,1),(77,1)}
        28:{3,6,7}:{(16,1),(34,1),(41,1),(108,1),(126,1)}
        29:{3,5,7}:{(17,1),(18,1),(37,1),(44,1),(138,1)}
        30:{2,4,6,7}:{(18,1),(38,1),(43,1),(44,1),(76,1),(137,1)}
        31:{2,4,6}:{(19,1),(20,1),(45,1),(46,1)}
        32:{3,4,7}:{(20,1),(22,1),(46,1),(47,1),(131,1)}
        33:{1,2,4,5,6}:{(21,1),(23,1),(27,1),(45,1),(49,1),(53,1),(54,1),(79,1),(83,1),(84,1),(85,1),(87,1),(110,1),(115,1),(134,1),(139,1)}
        34:{3,6}:{(21,1),(22,1)}
        35:{1,3,5,7}:{(22,1),(47,1),(50,1),(52,1),(79,1),(82,1),(111,1)}
        36:{2,3,5,7}:{(22,1),(25,1),(48,1),(51,1),(52,1),(80,1)}
        37:{3,5,6}:{(23,1),(24,1),(29,1),(53,1)}
        38:{2,4,6}:{(24,1),(25,1),(51,1),(53,1)}
        39:{2,4,5,7}:{(26,1),(45,1),(54,1),(55,1)}
        40:{3,4,6,7}:{(26,1),(28,1),(46,1),(55,1),(56,1),(58,1),(86,1)}
        41:{3,5,7}:{(27,1),(28,1),(49,1),(58,1)}
        42:{1,3,6,7}:{(28,1),(50,1),(56,1),(59,1),(61,1),(114,1)}
        43:{2,3,6,7}:{(28,1),(30,1),(51,1),(60,1),(61,1),(132,1)}
        44:{2,5,7}:{(29,1),(30,1),(53,1),(139,1)}
        45:{2,4,5}:{(31,1),(62,1)}
        46:{3,4,6}:{(31,1),(32,1),(34,1),(62,1),(63,1)}
        47:{1,4,7}:{(32,1),(35,1),(63,1),(123,1)}
        48:{2,3,4,7}:{(32,1),(36,1),(64,1),(65,1),(76,1),(108,1)}
        49:{3,5,6}:{(33,1),(34,1),(41,1),(62,1),(66,1),(122,1),(126,1),(138,1)}
        50:{1,3,6}:{(34,1),(35,1),(63,1),(69,1)}
        51:{2,3,6}:{(34,1),(36,1),(38,1),(69,1)}
        52:{1,2,5,7}:{(35,1),(36,1),(65,1),(69,1),(97,1)}
        53:{2,5,6}:{(37,1),(38,1),(44,1)}
        54:{2,4,5,6}:{(39,1),(70,1),(102,1)}
        55:{3,5,7}:{(39,1),(40,1),(62,1),(70,1),(72,1)}
        56:{1,4,6,7}:{(40,1),(42,1),(63,1),(72,1),(75,1),(101,1)}
        57:{2,3,4,6,7}:{(40,1),(43,1),(64,1),(73,1),(74,1),(76,1),(102,1),(108,1),(126,1),(129,1),(137,1)}
        58:{3,4,7}:{(41,1),(66,1),(75,1),(76,1),(108,1)}
        59:{1,3,5,7}:{(41,1),(42,1),(67,1),(72,1),(75,1),(77,1),(108,1)}
        60:{2,3,5,7}:{(41,1),(43,1),(44,1),(68,1),(76,1),(77,1),(108,1)}
        61:{1,2,6,7}:{(42,1),(43,1),(69,1),(77,1),(125,1)}
        62:{3,5}:{(45,1),(46,1),(79,1)}
        63:{1,4,6}:{(46,1),(47,1),(50,1),(79,1)}
        64:{2,3,4,6}:{(46,1),(48,1),(51,1),(80,1),(81,1),(84,1),(113,1),(131,1)}
        65:{1,2,4,7}:{(47,1),(48,1),(52,1),(81,1),(82,1)}
        66:{3,4,6}:{(49,1),(58,1),(78,1),(83,1),(84,1),(113,1),(131,1)}
        67:{1,3,5,6}:{(49,1),(50,1),(59,1),(79,1),(83,1),(85,1),(87,1),(109,1),(111,1),(113,1),(114,1)}
        68:{2,3,5,6}:{(49,1),(51,1),(53,1),(60,1),(80,1),(84,1),(85,1),(113,1),(130,1),(132,1),(139,1)}
        69:{1,2,6}:{(50,1),(51,1),(52,1)}
        70:{3,5,6}:{(54,1),(55,1),(86,1),(87,1)}
        71:{3,4,5,7}:{(55,1),(58,1),(78,1),(86,1),(89,1),(90,1),(118,1)}
        72:{1,5,7}:{(55,1),(56,1),(79,1),(87,1)}
        73:{2,3,5,7}:{(55,1),(57,1),(80,1),(88,1),(90,1),(91,1),(118,1),(139,1)}
        74:{1,2,4,6,7}:{(56,1),(57,1),(61,1),(81,1),(91,1),(92,1),(94,1),(115,1),(119,1)}
        75:{1,4,7}:{(58,1),(59,1),(83,1)}
        76:{2,4,7}:{(58,1),(60,1),(84,1)}
        77:{1,2,5,7}:{(59,1),(60,1),(61,1),(85,1),(94,1)}
        78:{3,4,5}:{(62,1),(66,1),(95,1),(96,1),(122,1),(138,1)}
        79:{1,5}:{(62,1),(63,1)}
        80:{2,3,5}:{(62,1),(64,1),(96,1),(97,1),(122,1)}
        81:{1,2,4,6}:{(63,1),(64,1),(65,1),(69,1),(97,1),(98,1),(123,1)}
        82:{1,3,7}:{(65,1),(98,1),(108,1)}
        83:{1,4,6}:{(66,1),(67,1),(75,1),(95,1),(123,1)}
        84:{2,4,6}:{(66,1),(68,1),(76,1),(96,1),(136,1)}
        85:{1,2,5,6}:{(67,1),(68,1),(69,1),(77,1),(97,1),(100,1),(121,1),(125,1)}
        86:{3,4,6}:{(70,1),(71,1),(101,1),(102,1),(126,1)}
        87:{1,5,6}:{(70,1),(72,1),(101,1)}
        88:{2,3,5,6}:{(70,1),(73,1),(102,1),(103,1),(126,1)}
        89:{1,4,5,7}:{(71,1),(72,1),(75,1),(95,1),(101,1),(104,1)}
        90:{2,4,5,7}:{(71,1),(73,1),(76,1),(96,1),(102,1)}
        91:{1,2,5,7}:{(72,1),(73,1),(74,1),(97,1),(103,1),(106,1)}
        92:{1,3,6,7}:{(74,1),(98,1),(106,1),(108,1),(126,1)}
        93:{1,3,4,7}:{(75,1),(99,1),(104,1),(107,1),(108,1),(129,1)}
        94:{1,2,4,7}:{(75,1),(76,1),(77,1),(100,1),(108,1)}
        95:{1,4,5}:{(78,1),(79,1),(83,1),(109,1)}
        96:{2,4,5}:{(78,1),(80,1),(84,1),(139,1)}
        97:{1,2,5}:{(79,1),(80,1),(81,1),(111,1)}
        98:{1,3,6}:{(81,1),(82,1),(111,1),(113,1)}
        99:{1,3,4,6}:{(83,1),(93,1),(109,1),(112,1),(113,1),(114,1),(131,1),(133,1)}
       100:{1,2,4,6}:{(83,1),(84,1),(85,1),(94,1),(110,1),(113,1)}
       101:{1,4,6}:{(86,1),(87,1),(89,1),(114,1)}
       102:{2,4,6}:{(86,1),(88,1),(90,1)}
       103:{1,2,5,6}:{(87,1),(88,1),(91,1),(115,1),(116,1),(139,1)}
       104:{1,3,5,7}:{(89,1),(93,1),(109,1),(114,1),(117,1),(118,1)}
       105:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(110,1),(115,1),(117,1),(118,1),(119,1),(134,1),(135,1),(139,1)}
       106:{1,3,5,7}:{(91,1),(92,1),(111,1),(116,1),(118,1),(119,1)}
       107:{1,2,4,7}:{(93,1),(112,1),(117,1),(120,1),(135,1)}
       108:{3,7}:{(94,1),(113,1)}
       109:{1,3,5}:{(95,1),(99,1),(121,1),(122,1),(138,1)}
       110:{1,2,4,5}:{(95,1),(96,1),(97,1),(100,1),(121,1),(122,1),(123,1),(136,1)}
       111:{1,3,5}:{(97,1),(98,1),(122,1),(123,1)}
       112:{1,2,4,6}:{(99,1),(107,1),(121,1),(124,1),(125,1),(136,1),(137,1)}
       113:{3,6}:{(100,1),(108,1),(122,1)}
       114:{1,3,6}:{(101,1),(104,1),(125,1),(126,1)}
       115:{1,2,4,6}:{(101,1),(102,1),(103,1),(105,1),(125,1),(126,1),(127,1),(137,1)}
       116:{1,3,5,6}:{(103,1),(106,1),(126,1),(127,1),(138,1)}
       117:{1,2,5,7}:{(104,1),(107,1),(121,1),(125,1),(128,1)}
       118:{3,5,7}:{(105,1),(108,1),(122,1),(126,1),(129,1),(138,1)}
       119:{1,4,7}:{(106,1),(123,1),(127,1),(129,1)}
       120:{2,3,7}:{(107,1),(108,1),(124,1)}
       121:{1,2,5}:{(109,1),(112,1),(130,1),(139,1)}
       122:{3,5}:{(110,1),(113,1),(131,1)}
       123:{1,4}:{(111,1),(131,1)}
       124:{2,3,6}:{(112,1),(113,1),(120,1),(130,1)}
       125:{1,2,6}:{(114,1),(117,1),(132,1)}
       126:{3,6}:{(115,1),(118,1)}
       127:{1,4,6}:{(116,1),(119,1),(133,1),(134,1)}
       128:{2,3,5,7}:{(117,1),(118,1),(120,1),(130,1),(132,1),(135,1),(139,1)}
       129:{3,4,7}:{(118,1),(119,1),(131,1),(133,1),(135,1)}
       130:{2,3,5}:{(121,1),(122,1),(124,1),(136,1)}
       131:{3,4}:{(122,1),(123,1),(136,1)}
       132:{2,3,6}:{(125,1),(126,1),(128,1),(137,1)}
       133:{3,4,6}:{(126,1),(127,1),(129,1),(137,1),(138,1)}
       134:{1,4,5}:{(127,1),(138,1)}
       135:{2,4,7}:{(128,1),(129,1),(136,1),(137,1)}
       136:{2,4}:{(130,1),(131,1)}
       137:{2,4,6}:{(132,1),(133,1),(135,1),(139,1)}
       138:{3,5}:{(133,1),(134,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

 876 :   0:{2,3,5,7}:{(3,1),(4,1),(5,1),(6,1),(22,1),(26,1),(51,1)}
         1:{2,4,5,7}:{(4,1),(6,1),(7,1),(9,1),(26,1),(30,1),(53,1)}
         2:{2,4,6,7}:{(7,1),(8,1),(9,1),(30,1)}
         3:{1,2,5,7}:{(0,1),(10,1),(11,1),(12,1),(15,1),(37,1),(57,1)}
         4:{2,4,7}:{(0,1),(13,1),(14,1),(65,1),(68,1)}
         5:{2,3,6}:{(0,1),(12,1),(14,1),(16,1),(36,1),(100,1)}
         6:{3,5,7}:{(1,1),(13,1),(15,1),(16,1),(39,1)}
         7:{2,4,6}:{(1,1),(16,1),(17,1),(41,1)}
         8:{3,6,7}:{(2,1),(16,1),(18,1),(19,1)}
         9:{2,5,7}:{(2,1),(17,1),(19,1),(68,1)}
        10:{1,3,5,7}:{(3,1),(20,1),(21,1),(22,1),(43,1),(47,1),(51,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(20,1),(22,1),(23,1),(24,1),(45,1),(48,1)}
        12:{1,2,6}:{(3,1),(5,1),(21,1),(27,1),(71,1),(103,1)}
        13:{3,4,7}:{(4,1),(6,1),(22,1),(24,1),(25,1),(30,1),(55,1)}
        14:{2,4,6}:{(4,1),(5,1),(25,1),(26,1),(79,1),(94,1)}
        15:{1,5,7}:{(6,1),(24,1),(27,1),(52,1)}
        16:{3,6}:{(6,1),(7,1),(27,1)}
        17:{2,5,6}:{(7,1),(9,1),(26,1),(28,1),(79,1)}
        18:{1,6,7}:{(8,1),(27,1),(29,1)}
        19:{3,5,7}:{(8,1),(9,1),(28,1),(29,1),(30,1),(55,1)}
        20:{1,4,7}:{(10,1),(32,1),(33,1),(65,1),(104,1)}
        21:{1,3,6}:{(10,1),(12,1),(33,1),(36,1),(58,1),(99,1)}
        22:{3,7}:{(11,1),(36,1)}
        23:{1,2,4,6}:{(11,1),(12,1),(14,1),(33,1),(36,1),(37,1),(38,1),(60,1),(62,1),(65,1),(85,1)}
        24:{1,4,7}:{(13,1),(15,1),(34,1),(38,1)}
        25:{3,4,6}:{(13,1),(14,1),(16,1),(36,1),(38,1),(39,1),(41,1),(65,1),(67,1),(86,1)}
        26:{2,5}:{(14,1),(39,1)}
        27:{1,6}:{(15,1),(16,1)}
        28:{3,5,6}:{(16,1),(17,1),(19,1),(39,1),(40,1),(41,1),(67,1)}
        29:{1,5,7}:{(18,1),(19,1),(40,1),(42,1)}
        30:{4,7}:{(19,1),(41,1)}
        31:{1,4,5,7}:{(20,1),(43,1),(44,1),(47,1),(70,1),(74,1),(90,1)}
        32:{3,4,7}:{(20,1),(22,1),(43,1),(45,1),(46,1),(90,1),(101,1)}
        33:{1,4,6}:{(20,1),(21,1),(46,1),(47,1),(95,1),(102,1)}
        34:{1,3,7}:{(22,1),(24,1),(48,1),(49,1),(55,1)}
        35:{2,3,7}:{(22,1),(45,1),(48,1),(50,1),(101,1)}
        36:{3,6}:{(22,1),(23,1),(51,1),(93,1)}
        37:{1,2,5}:{(23,1),(26,1),(47,1),(51,1),(52,1),(73,1)}
        38:{1,4,6}:{(24,1),(25,1),(27,1),(49,1),(52,1),(76,1)}
        39:{3,5}:{(25,1),(26,1),(52,1),(53,1)}
        40:{1,5,6}:{(27,1),(28,1),(29,1),(52,1),(54,1)}
        41:{4,6}:{(28,1),(30,1),(53,1)}
        42:{1,4,7}:{(29,1),(30,1),(54,1),(55,1)}
        43:{3,5,7}:{(31,1),(32,1),(57,1),(58,1),(61,1)}
        44:{1,4,6}:{(31,1),(58,1),(59,1),(83,1)}
        45:{2,4,7}:{(32,1),(35,1),(57,1),(60,1)}
        46:{3,4,6}:{(32,1),(33,1),(36,1),(58,1),(60,1),(61,1),(65,1),(83,1),(87,1),(97,1)}
        47:{1,5}:{(33,1),(61,1)}
        48:{1,2,7}:{(34,1),(35,1),(62,1),(68,1),(104,1)}
        49:{1,3,6}:{(34,1),(36,1),(38,1),(62,1),(63,1),(67,1)}
        50:{2,3,6}:{(35,1),(36,1),(60,1),(62,1),(64,1),(97,1)}
        51:{3,5}:{(36,1),(37,1),(65,1)}
        52:{1,5}:{(38,1),(39,1)}
        53:{4,5}:{(39,1),(41,1),(65,1)}
        54:{1,4,6}:{(40,1),(41,1),(42,1),(66,1),(67,1)}
        55:{3,7}:{(42,1),(67,1),(68,1)}
        56:{1,4,6,7}:{(44,1),(69,1),(70,1),(90,1)}
        57:{2,5,7}:{(43,1),(45,1),(71,1),(73,1)}
        58:{3,6}:{(43,1),(44,1),(71,1)}
        59:{1,5,6}:{(44,1),(47,1),(70,1),(72,1),(102,1)}
        60:{2,4,6}:{(45,1),(46,1),(50,1),(71,1),(73,1),(77,1)}
        61:{3,5}:{(46,1),(47,1),(73,1),(74,1)}
        62:{1,2,6}:{(48,1),(49,1),(50,1),(75,1),(79,1),(102,1)}
        63:{1,3,5}:{(49,1),(51,1),(52,1),(75,1),(76,1),(78,1),(93,1)}
        64:{2,3,5}:{(50,1),(51,1),(73,1),(75,1),(77,1),(92,1),(93,1)}
        65:{4}:{(51,1)}
        66:{1,4,5}:{(52,1),(53,1),(54,1),(76,1),(78,1)}
        67:{3,6}:{(54,1),(55,1),(78,1),(79,1)}
        68:{2,7}:{(55,1),(79,1)}
        69:{3,6,7}:{(56,1),(58,1),(80,1),(81,1)}
        70:{1,5,7}:{(56,1),(59,1),(81,1),(104,1)}
        71:{2,6}:{(57,1),(58,1)}
        72:{3,5,6}:{(58,1),(59,1),(61,1),(81,1),(82,1),(83,1),(97,1)}
        73:{2,5}:{(60,1),(61,1)}
        74:{4,5}:{(61,1),(65,1),(83,1)}
        75:{1,2,5}:{(62,1),(63,1),(64,1),(85,1),(88,1),(98,1)}
        76:{1,4}:{(63,1),(65,1),(86,1)}
        77:{2,4}:{(64,1),(65,1),(87,1)}
        78:{3,5}:{(66,1),(67,1),(86,1),(88,1)}
        79:{2,6}:{(67,1),(68,1),(88,1)}
        80:{2,6,7}:{(69,1),(71,1),(89,1)}
        81:{3,5,7}:{(69,1),(70,1),(72,1),(89,1),(90,1),(101,1)}
        82:{2,5,6}:{(71,1),(72,1),(73,1),(89,1),(91,1)}
        83:{4,6}:{(72,1),(74,1),(90,1)}
        84:{2,4,5}:{(73,1),(74,1),(77,1),(91,1),(92,1)}
        85:{1,2,4}:{(75,1),(76,1),(77,1),(93,1),(94,1),(95,1),(103,1)}
        86:{3,4}:{(76,1),(78,1),(93,1),(94,1)}
        87:{3,4}:{(77,1),(92,1),(93,1),(95,1)}
        88:{2,5}:{(78,1),(79,1),(94,1)}
        89:{2,5,7}:{(80,1),(81,1),(82,1),(96,1)}
        90:{4,7}:{(81,1),(83,1)}
        91:{2,4,6}:{(82,1),(83,1),(84,1),(96,1),(97,1)}
        92:{3,5}:{(84,1),(87,1),(97,1),(98,1)}
        93:{3}:{(85,1)}
        94:{2,4}:{(86,1),(88,1),(100,1)}
        95:{1,4}:{(87,1),(98,1),(99,1)}
        96:{2,4,7}:{(89,1),(90,1),(91,1),(101,1)}
        97:{3,6}:{(91,1),(92,1),(101,1),(102,1)}
        98:{1,5}:{(92,1),(95,1),(102,1)}
        99:{1,3}:{(93,1),(95,1),(103,1)}
       100:{2,3}:{(93,1),(94,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{1,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{1,7}:{(101,1),(102,1)}

 877 :   0:{1,3,5,6,7}:{(1,1),(2,1),(10,1),(11,1),(27,1),(34,1),(108,1)}
         1:{1,2,5,6,7}:{(0,1),(3,1),(4,1),(23,1),(46,1),(49,1),(54,1),(88,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(44,1),(52,1),(124,1)}
         3:{2,3,5,6,7}:{(1,1),(8,1),(10,1),(30,1),(35,1),(64,1),(67,1)}
         4:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(10,1),(13,1),(31,1),(36,1),(63,1),(74,1),(107,1)}
         5:{1,4,5,7}:{(2,1),(7,1),(11,1),(133,1)}
         6:{3,4,6,7}:{(2,1),(10,1),(11,1),(13,1),(26,1),(33,1),(132,1)}
         7:{1,4,5,6}:{(5,1),(15,1),(44,1)}
         8:{2,4,6,7}:{(3,1),(16,1),(17,1),(53,1),(85,1),(87,1)}
         9:{1,2,4,5,7}:{(4,1),(5,1),(14,1),(16,1),(18,1),(23,1),(49,1),(52,1),(53,1),(54,1)}
        10:{3,6,7}:{(4,1),(18,1),(84,1),(94,1),(123,1)}
        11:{3,5,7}:{(5,1),(6,1),(15,1),(23,1),(138,1)}
        12:{1,3,4,6,7}:{(6,1),(19,1),(22,1),(24,1),(44,1),(52,1),(80,1),(84,1),(94,1),(96,1),(120,1)}
        13:{2,4,6,7}:{(6,1),(20,1),(23,1),(45,1),(53,1),(137,1)}
        14:{1,2,4,5,6}:{(7,1),(9,1),(25,1),(28,1),(29,1),(59,1),(60,1),(61,1),(63,1),(66,1),(99,1),(105,1),(107,1),(130,1),(133,1),(139,1)}
        15:{3,5,6}:{(7,1),(11,1),(26,1),(28,1)}
        16:{2,4,5,7}:{(8,1),(29,1),(30,1),(105,1)}
        17:{3,4,6,7}:{(8,1),(10,1),(30,1),(31,1),(33,1),(65,1),(104,1)}
        18:{3,5,7}:{(9,1),(10,1),(25,1),(33,1)}
        19:{1,3,6,7}:{(10,1),(31,1),(34,1),(36,1),(103,1),(106,1)}
        20:{2,3,6,7}:{(10,1),(13,1),(35,1),(36,1),(62,1),(131,1)}
        21:{3,4,5,7}:{(11,1),(26,1),(33,1),(37,1),(38,1),(58,1),(76,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(27,1),(37,1),(39,1),(76,1),(97,1),(130,1)}
        23:{2,5,7}:{(11,1),(13,1),(28,1),(139,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(36,1),(39,1),(40,1),(63,1),(74,1),(77,1),(100,1)}
        25:{3,5,6}:{(14,1),(18,1),(41,1),(84,1),(117,1),(121,1),(123,1),(138,1)}
        26:{3,4,6}:{(15,1),(21,1),(44,1),(45,1),(84,1)}
        27:{1,3,5,6}:{(15,1),(22,1),(44,1),(46,1),(84,1)}
        28:{2,5,6}:{(15,1),(23,1),(45,1)}
        29:{2,4,5,6}:{(16,1),(47,1),(87,1)}
        30:{3,5,7}:{(16,1),(17,1),(47,1),(49,1),(121,1)}
        31:{1,4,6,7}:{(17,1),(19,1),(49,1),(52,1),(86,1),(120,1)}
        32:{2,3,4,6,7}:{(17,1),(20,1),(50,1),(51,1),(53,1),(81,1),(87,1),(94,1),(123,1),(126,1),(137,1)}
        33:{3,4,7}:{(18,1),(41,1),(52,1),(53,1),(94,1)}
        34:{1,3,5,7}:{(18,1),(19,1),(42,1),(49,1),(52,1),(54,1),(94,1)}
        35:{2,3,5,7}:{(18,1),(20,1),(23,1),(43,1),(53,1),(54,1),(94,1)}
        36:{1,2,6,7}:{(19,1),(20,1),(54,1),(83,1),(122,1)}
        37:{1,4,5,7}:{(21,1),(22,1),(44,1),(52,1),(78,1)}
        38:{2,4,5,7}:{(21,1),(23,1),(45,1),(53,1),(55,1),(79,1)}
        39:{1,2,5,7}:{(22,1),(23,1),(24,1),(46,1),(57,1),(115,1)}
        40:{2,3,6,7}:{(24,1),(57,1),(84,1),(94,1),(118,1)}
        41:{3,4,6}:{(25,1),(33,1),(58,1),(59,1),(60,1),(102,1),(129,1)}
        42:{1,3,5,6}:{(25,1),(34,1),(59,1),(61,1),(66,1),(97,1),(102,1),(103,1),(106,1),(128,1),(130,1)}
        43:{2,3,5,6}:{(25,1),(28,1),(35,1),(60,1),(61,1),(62,1),(98,1),(102,1),(127,1),(131,1),(139,1)}
        44:{1,4,6}:{(26,1),(27,1),(37,1)}
        45:{2,4,6}:{(26,1),(28,1),(38,1),(62,1)}
        46:{1,2,5,6}:{(27,1),(28,1),(39,1),(63,1),(64,1),(130,1)}
        47:{3,5,6}:{(29,1),(30,1),(65,1),(66,1)}
        48:{3,4,5,7}:{(30,1),(33,1),(58,1),(65,1),(68,1),(69,1),(110,1)}
        49:{1,5,7}:{(30,1),(31,1),(66,1),(130,1)}
        50:{2,3,5,7}:{(30,1),(32,1),(67,1),(69,1),(70,1),(98,1),(110,1),(139,1)}
        51:{1,2,4,6,7}:{(31,1),(32,1),(36,1),(70,1),(71,1),(74,1),(101,1),(107,1),(111,1)}
        52:{1,4,7}:{(33,1),(34,1),(59,1)}
        53:{2,4,7}:{(33,1),(35,1),(60,1)}
        54:{1,2,5,7}:{(34,1),(35,1),(36,1),(61,1),(74,1)}
        55:{2,3,5,7}:{(38,1),(62,1),(73,1),(75,1),(76,1),(98,1)}
        56:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(63,1),(74,1),(75,1),(76,1),(77,1),(99,1),(105,1),(114,1),(130,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(64,1),(76,1),(77,1),(127,1)}
        58:{3,4,5}:{(41,1),(78,1),(79,1),(117,1),(121,1),(138,1)}
        59:{1,4,6}:{(41,1),(42,1),(52,1),(78,1),(136,1)}
        60:{2,4,6}:{(41,1),(43,1),(53,1),(79,1),(135,1)}
        61:{1,2,5,6}:{(42,1),(43,1),(54,1),(82,1),(83,1),(115,1),(116,1),(122,1)}
        62:{2,3,6}:{(45,1),(55,1),(83,1),(84,1)}
        63:{1,2,4,6}:{(44,1),(45,1),(46,1),(56,1),(83,1),(84,1),(85,1),(120,1)}
        64:{2,3,5,6}:{(46,1),(57,1),(84,1),(85,1),(121,1)}
        65:{3,4,6}:{(47,1),(48,1),(86,1),(87,1),(123,1)}
        66:{1,5,6}:{(47,1),(49,1),(86,1)}
        67:{2,3,5,6}:{(47,1),(50,1),(87,1),(88,1),(123,1)}
        68:{1,4,5,7}:{(48,1),(49,1),(52,1),(78,1),(86,1),(89,1)}
        69:{2,4,5,7}:{(48,1),(50,1),(53,1),(79,1),(87,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(51,1),(88,1),(91,1),(116,1)}
        71:{1,3,6,7}:{(51,1),(91,1),(94,1),(119,1),(123,1)}
        72:{1,3,4,7}:{(52,1),(80,1),(89,1),(92,1),(94,1),(126,1)}
        73:{2,3,4,7}:{(53,1),(55,1),(81,1),(93,1),(94,1),(96,1)}
        74:{1,2,4,7}:{(52,1),(53,1),(54,1),(82,1),(94,1)}
        75:{1,2,5,7}:{(55,1),(83,1),(93,1),(95,1),(116,1)}
        76:{3,5,7}:{(56,1),(84,1),(94,1),(96,1),(117,1),(121,1)}
        77:{2,4,7}:{(57,1),(85,1),(96,1),(135,1)}
        78:{1,4,5}:{(58,1),(59,1),(97,1),(130,1)}
        79:{2,4,5}:{(58,1),(60,1),(98,1),(139,1)}
        80:{1,3,4,6}:{(59,1),(72,1),(97,1),(100,1),(102,1),(106,1),(129,1),(132,1)}
        81:{2,3,4,6}:{(60,1),(62,1),(73,1),(98,1),(101,1),(102,1),(104,1),(129,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(61,1),(74,1),(99,1),(102,1)}
        83:{1,2,6}:{(62,1),(75,1),(103,1)}
        84:{3,6}:{(63,1),(76,1)}
        85:{2,4,6}:{(64,1),(77,1),(104,1),(105,1)}
        86:{1,4,6}:{(65,1),(66,1),(68,1),(106,1)}
        87:{2,4,6}:{(65,1),(67,1),(69,1)}
        88:{1,2,5,6}:{(66,1),(67,1),(70,1),(107,1),(108,1),(139,1)}
        89:{1,3,5,7}:{(68,1),(72,1),(97,1),(106,1),(109,1),(110,1)}
        90:{1,2,4,5,7}:{(68,1),(69,1),(70,1),(74,1),(99,1),(107,1),(109,1),(110,1),(111,1),(133,1),(134,1),(139,1)}
        91:{1,3,5,7}:{(70,1),(71,1),(108,1),(110,1),(111,1),(128,1)}
        92:{1,2,4,7}:{(72,1),(100,1),(109,1),(112,1),(134,1)}
        93:{1,2,4,7}:{(73,1),(75,1),(101,1),(113,1),(114,1)}
        94:{3,7}:{(74,1),(102,1)}
        95:{1,3,5,7}:{(75,1),(76,1),(103,1),(113,1),(114,1),(128,1),(130,1)}
        96:{3,4,7}:{(76,1),(77,1),(104,1),(114,1),(129,1)}
        97:{1,3,5}:{(78,1),(80,1),(115,1),(117,1),(138,1)}
        98:{2,3,5}:{(79,1),(81,1),(116,1),(117,1),(121,1)}
        99:{1,2,4,5}:{(78,1),(79,1),(82,1),(115,1),(116,1),(117,1),(135,1),(136,1)}
       100:{1,2,4,6}:{(80,1),(92,1),(115,1),(118,1),(122,1),(135,1),(137,1)}
       101:{1,2,4,6}:{(81,1),(83,1),(93,1),(116,1),(119,1),(120,1),(136,1)}
       102:{3,6}:{(82,1),(94,1),(117,1)}
       103:{1,3,6}:{(83,1),(84,1),(95,1),(120,1)}
       104:{3,4,6}:{(84,1),(85,1),(96,1),(120,1),(121,1)}
       105:{2,4,5}:{(85,1),(121,1)}
       106:{1,3,6}:{(86,1),(89,1),(122,1),(123,1)}
       107:{1,2,4,6}:{(86,1),(87,1),(88,1),(90,1),(122,1),(123,1),(124,1),(137,1)}
       108:{1,3,5,6}:{(88,1),(91,1),(123,1),(124,1),(138,1)}
       109:{1,2,5,7}:{(89,1),(92,1),(115,1),(122,1),(125,1)}
       110:{3,5,7}:{(90,1),(94,1),(117,1),(123,1),(126,1),(138,1)}
       111:{1,4,7}:{(91,1),(124,1),(126,1),(136,1)}
       112:{2,3,7}:{(92,1),(94,1),(118,1)}
       113:{1,3,7}:{(93,1),(94,1),(119,1)}
       114:{1,4,7}:{(95,1),(96,1),(120,1),(136,1)}
       115:{1,2,5}:{(97,1),(100,1),(127,1),(139,1)}
       116:{1,2,5}:{(98,1),(101,1),(128,1),(130,1)}
       117:{3,5}:{(99,1),(102,1),(129,1)}
       118:{2,3,6}:{(100,1),(102,1),(112,1),(127,1)}
       119:{1,3,6}:{(101,1),(102,1),(113,1),(128,1)}
       120:{1,4,6}:{(103,1),(104,1),(114,1),(130,1)}
       121:{3,5}:{(104,1),(105,1),(130,1)}
       122:{1,2,6}:{(106,1),(109,1),(131,1)}
       123:{3,6}:{(107,1),(110,1)}
       124:{1,4,6}:{(108,1),(111,1),(132,1),(133,1)}
       125:{2,3,5,7}:{(109,1),(110,1),(112,1),(127,1),(131,1),(134,1),(139,1)}
       126:{3,4,7}:{(110,1),(111,1),(129,1),(132,1),(134,1)}
       127:{2,3,5}:{(115,1),(117,1),(118,1),(135,1)}
       128:{1,3,5}:{(116,1),(117,1),(119,1),(136,1)}
       129:{3,4}:{(117,1),(135,1),(136,1)}
       130:{1,5}:{(120,1),(121,1)}
       131:{2,3,6}:{(122,1),(123,1),(125,1),(137,1)}
       132:{3,4,6}:{(123,1),(124,1),(126,1),(137,1),(138,1)}
       133:{1,4,5}:{(124,1),(138,1)}
       134:{2,4,7}:{(125,1),(126,1),(135,1),(137,1)}
       135:{2,4}:{(127,1),(129,1)}
       136:{1,4}:{(128,1),(129,1)}
       137:{2,4,6}:{(131,1),(132,1),(134,1),(139,1)}
       138:{3,5}:{(132,1),(133,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

 878 :   0:{1,4,5,6,7}:{(1,1),(6,1),(177,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(4,1),(193,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(175,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(18,1),(23,1),(133,1)}
         4:{2,5,6,7}:{(1,1),(7,1),(203,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(156,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(13,1),(191,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(15,1),(30,1),(66,1),(108,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(41,1),(167,1),(175,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(21,1),(23,1),(37,1),(46,1),(49,1)}
        13:{2,3,6,7}:{(7,1),(19,1),(22,1),(23,1),(173,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(22,1),(23,1),(24,1),(49,1),(129,1)}
        15:{2,3,5,6,7}:{(8,1),(23,1),(24,1),(44,1),(50,1),(86,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(25,1),(156,1),(182,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(26,1),(185,1),(191,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(25,1),(30,1),(32,1),(66,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(26,1),(29,1),(31,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(32,1),(36,1),(61,1),(62,1),(66,1)}
        21:{1,2,4,6,7}:{(12,1),(30,1),(33,1),(53,1),(61,1)}
        22:{1,2,6,7}:{(13,1),(31,1),(34,1),(151,1)}
        23:{3,6,7}:{(14,1),(32,1),(154,1)}
        24:{2,4,6,7}:{(15,1),(35,1),(36,1),(61,1),(104,1)}
        25:{1,3,5,6}:{(16,1),(18,1),(37,1),(39,1),(41,1),(87,1),(161,1)}
        26:{2,3,5,6}:{(17,1),(19,1),(38,1),(40,1),(41,1),(164,1),(173,1)}
        27:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(39,1),(40,1),(41,1),(51,1),(73,1),(74,1),(87,1),(118,1),(129,1)}
        28:{1,3,4,5,7}:{(18,1),(37,1),(42,1),(46,1),(75,1),(82,1),(122,1),(128,1),(132,1),(161,1)}
        29:{2,3,4,7}:{(19,1),(38,1),(43,1),(46,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(39,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(40,1),(43,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(41,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(70,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(49,1),(127,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(49,1),(50,1),(83,1)}
        36:{2,4,5,7}:{(24,1),(50,1),(51,1)}
        37:{1,3,4,6}:{(25,1),(28,1),(53,1),(57,1),(105,1),(154,1),(156,1)}
        38:{2,3,4,6}:{(26,1),(29,1),(52,1),(54,1),(57,1)}
        39:{1,2,5,6}:{(25,1),(30,1),(53,1),(55,1),(138,1)}
        40:{1,2,5,6}:{(26,1),(31,1),(54,1),(56,1),(141,1),(151,1)}
        41:{3,5,6}:{(27,1),(32,1),(57,1),(143,1),(154,1)}
        42:{1,2,4,5,7}:{(28,1),(30,1),(53,1),(58,1),(61,1),(95,1),(98,1),(138,1)}
        43:{1,2,4,7}:{(29,1),(31,1),(54,1),(59,1),(62,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(55,1),(61,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(56,1),(59,1),(62,1),(66,1)}
        46:{3,4,7}:{(32,1),(57,1),(61,1),(62,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(60,1),(64,1),(90,1),(151,1),(154,1),(190,1),(192,1)}
        48:{2,3,4,6,7}:{(33,1),(35,1),(61,1),(64,1),(65,1),(91,1),(102,1),(104,1),(154,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(62,1),(66,1),(105,1)}
        50:{3,5,7}:{(35,1),(36,1),(66,1),(67,1)}
        51:{2,4,5,6}:{(36,1),(67,1),(104,1)}
        52:{2,3,4,5}:{(38,1),(69,1),(75,1),(158,1),(164,1)}
        53:{1,2,4,6}:{(37,1),(39,1),(42,1),(70,1),(73,1)}
        54:{1,2,4,6}:{(38,1),(40,1),(43,1),(69,1),(71,1),(74,1)}
        55:{2,3,5,6}:{(39,1),(41,1),(44,1),(70,1),(73,1),(114,1)}
        56:{1,3,5,6}:{(40,1),(41,1),(45,1),(71,1),(74,1),(87,1),(116,1),(127,1)}
        57:{3,4,6}:{(41,1),(46,1),(73,1),(74,1),(75,1)}
        58:{2,3,5,7}:{(42,1),(70,1),(77,1),(114,1),(128,1)}
        59:{1,3,7}:{(43,1),(71,1)}
        60:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(72,1),(78,1),(80,1),(85,1),(126,1),(128,1),(199,1),(201,1)}
        61:{2,4,7}:{(44,1),(46,1),(73,1)}
        62:{1,4,7}:{(45,1),(46,1),(74,1)}
        63:{3,4,5,7}:{(46,1),(50,1),(75,1),(81,1),(82,1),(83,1),(128,1)}
        64:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(80,1),(84,1),(85,1),(113,1),(129,1),(204,1)}
        65:{2,3,5,7}:{(48,1),(50,1),(81,1),(85,1),(86,1),(114,1),(128,1)}
        66:{1,5,7}:{(49,1),(50,1),(87,1)}
        67:{3,5,6}:{(50,1),(51,1),(83,1),(87,1)}
        68:{2,4,5,6,7}:{(51,1),(88,1),(130,1)}
        69:{1,2,4,5}:{(52,1),(54,1),(89,1),(96,1),(135,1),(141,1)}
        70:{2,3,6}:{(53,1),(58,1),(154,1)}
        71:{1,3,6}:{(54,1),(59,1),(89,1)}
        72:{1,2,3,5,6}:{(55,1),(56,1),(60,1),(90,1),(92,1),(94,1),(108,1),(138,1),(141,1),(143,1),(151,1),(154,1),(183,1),(186,1)}
        73:{2,4,6}:{(55,1),(57,1),(61,1),(95,1)}
        74:{1,4,6}:{(56,1),(57,1),(62,1),(96,1)}
        75:{3,4,5}:{(57,1),(95,1),(96,1),(143,1)}
        76:{1,2,3,5,7}:{(58,1),(90,1),(98,1),(138,1),(147,1)}
        77:{2,3,4,7}:{(58,1),(61,1),(91,1),(98,1),(102,1)}
        78:{1,2,3,7}:{(59,1),(92,1),(100,1),(206,1)}
        79:{1,3,4,7}:{(59,1),(62,1),(93,1),(100,1),(101,1),(102,1)}
        80:{1,2,4,7}:{(60,1),(61,1),(62,1),(94,1),(102,1),(207,1),(208,1)}
        81:{2,4,5,7}:{(61,1),(63,1),(65,1),(95,1),(104,1)}
        82:{1,4,5,7}:{(62,1),(63,1),(66,1),(96,1),(101,1),(105,1)}
        83:{3,4,6}:{(63,1),(67,1),(104,1),(105,1),(154,1)}
        84:{1,3,4,6,7}:{(64,1),(102,1),(107,1),(137,1),(154,1),(156,1),(190,1),(194,1),(207,1)}
        85:{1,2,5,7}:{(64,1),(65,1),(66,1),(107,1),(108,1),(138,1),(209,1)}
        86:{2,3,5,6}:{(65,1),(67,1),(104,1),(108,1),(154,1)}
        87:{1,5,6}:{(66,1),(67,1),(105,1)}
        88:{3,5,6,7}:{(67,1),(68,1),(106,1),(110,1)}
        89:{1,3,5}:{(69,1),(71,1),(112,1)}
        90:{1,2,3,6}:{(70,1),(76,1),(113,1),(170,1)}
        91:{2,3,4,6}:{(70,1),(73,1),(77,1),(113,1),(114,1),(117,1)}
        92:{1,2,3,6}:{(71,1),(78,1),(111,1),(115,1),(196,1)}
        93:{1,3,4,6}:{(71,1),(74,1),(79,1),(112,1),(115,1),(116,1),(117,1),(127,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(80,1),(117,1),(118,1),(198,1),(200,1)}
        95:{2,4,5}:{(73,1),(75,1),(114,1)}
        96:{1,4,5}:{(74,1),(75,1),(116,1)}
        97:{3,4,5,6}:{(75,1),(83,1),(119,1),(120,1),(121,1),(168,1)}
        98:{1,2,4,7}:{(76,1),(77,1),(113,1),(122,1)}
        99:{2,3,4,5,7}:{(77,1),(81,1),(114,1),(123,1),(124,1),(128,1),(163,1),(167,1),(172,1),(202,1)}
       100:{1,2,4,7}:{(78,1),(79,1),(115,1),(125,1),(126,1)}
       101:{1,3,5,7}:{(79,1),(82,1),(116,1),(126,1),(127,1),(128,1)}
       102:{3,4,7}:{(80,1),(117,1),(128,1)}
       103:{1,2,4,5,7}:{(80,1),(81,1),(82,1),(85,1),(118,1),(126,1),(128,1),(129,1),(132,1),(172,1)}
       104:{2,4,6}:{(81,1),(83,1),(86,1)}
       105:{1,4,6}:{(82,1),(83,1),(87,1),(127,1)}
       106:{3,4,6,7}:{(83,1),(88,1),(121,1),(130,1),(131,1),(176,1)}
       107:{1,3,5,7}:{(84,1),(85,1),(128,1),(132,1),(133,1),(161,1),(205,1)}
       108:{1,2,5,6}:{(85,1),(86,1),(87,1),(129,1),(133,1),(203,1)}
       109:{2,3,5,6,7}:{(86,1),(88,1),(130,1),(134,1),(163,1),(176,1)}
       110:{1,5,6,7}:{(87,1),(88,1),(131,1)}
       111:{1,2,3,5}:{(89,1),(92,1),(135,1),(141,1),(179,1)}
       112:{1,3,4}:{(89,1),(135,1)}
       113:{1,2,4,6}:{(90,1),(91,1),(98,1),(137,1),(138,1)}
       114:{2,3,5}:{(91,1),(95,1),(138,1),(143,1)}
       115:{1,2,4,6}:{(92,1),(93,1),(100,1),(135,1),(140,1),(141,1),(151,1)}
       116:{1,3,5}:{(93,1),(96,1),(141,1),(143,1)}
       117:{3,4,6}:{(94,1),(102,1),(143,1),(154,1)}
       118:{1,2,4,5}:{(94,1),(95,1),(96,1),(138,1),(141,1),(143,1),(182,1),(185,1)}
       119:{2,4,5,6}:{(95,1),(97,1),(104,1),(139,1),(145,1)}
       120:{1,4,5,6}:{(96,1),(97,1),(105,1),(142,1),(146,1)}
       121:{3,4,5,7}:{(97,1),(106,1),(145,1),(146,1),(189,1)}
       122:{1,3,4,7}:{(98,1),(102,1),(137,1),(147,1),(207,1)}
       123:{1,2,4,5,7}:{(98,1),(99,1),(138,1),(147,1),(148,1),(182,1),(184,1),(207,1)}
       124:{2,3,4,6}:{(99,1),(104,1),(139,1),(148,1),(154,1),(188,1),(191,1)}
       125:{2,3,4,7}:{(100,1),(102,1),(140,1),(150,1),(206,1),(208,1)}
       126:{1,2,5,7}:{(100,1),(101,1),(141,1),(150,1),(151,1)}
       127:{1,3,6}:{(101,1),(105,1),(151,1),(154,1)}
       128:{3,5,7}:{(102,1),(103,1),(143,1),(154,1)}
       129:{1,2,4,6}:{(103,1),(104,1),(105,1),(108,1),(151,1),(154,1),(156,1),(191,1)}
       130:{2,4,6,7}:{(104,1),(106,1),(109,1),(145,1)}
       131:{1,4,6,7}:{(105,1),(106,1),(110,1),(146,1),(152,1)}
       132:{1,4,5,7}:{(107,1),(153,1),(156,1),(182,1),(207,1)}
       133:{1,3,5,6}:{(107,1),(108,1),(154,1),(156,1),(193,1)}
       134:{1,2,5,6,7}:{(108,1),(109,1),(110,1),(155,1),(157,1),(184,1),(209,1)}
       135:{1,2,4}:{(111,1),(112,1),(158,1)}
       136:{1,3,4,5}:{(112,1),(116,1),(159,1),(160,1),(167,1)}
       137:{1,3,4,6}:{(113,1),(117,1),(122,1),(161,1),(170,1),(198,1)}
       138:{1,2,5}:{(113,1),(114,1),(161,1)}
       139:{2,3,5,6}:{(114,1),(119,1),(124,1),(162,1),(163,1),(168,1),(203,1)}
       140:{2,3,4,6}:{(115,1),(117,1),(125,1),(158,1),(164,1),(173,1),(196,1),(200,1)}
       141:{1,2,5}:{(115,1),(116,1),(164,1)}
       142:{1,3,5,6}:{(116,1),(120,1),(127,1),(160,1),(165,1),(166,1),(168,1)}
       143:{3,5}:{(117,1),(118,1)}
       144:{1,2,4,5,6}:{(118,1),(119,1),(120,1),(129,1),(162,1),(165,1),(168,1),(169,1),(177,1),(198,1),(200,1),(203,1)}
       145:{2,4,5,7}:{(119,1),(121,1),(130,1),(163,1)}
       146:{1,4,5,7}:{(120,1),(121,1),(131,1),(166,1)}
       147:{1,3,5,7}:{(122,1),(123,1),(128,1),(161,1),(170,1)}
       148:{1,2,4,6}:{(123,1),(124,1),(162,1),(170,1),(198,1)}
       149:{2,3,4,6,7}:{(124,1),(130,1),(163,1),(171,1),(176,1),(202,1),(204,1)}
       150:{2,3,5,7}:{(125,1),(126,1),(128,1),(164,1),(172,1),(173,1)}
       151:{1,2,6}:{(126,1),(127,1),(173,1)}
       152:{1,3,6,7}:{(127,1),(131,1),(166,1),(174,1),(176,1)}
       153:{3,4,5,7}:{(128,1),(132,1),(167,1),(172,1),(175,1),(202,1),(205,1)}
       154:{3,6}:{(128,1),(129,1)}
       155:{1,2,4,6,7}:{(129,1),(130,1),(131,1),(134,1),(169,1),(174,1),(176,1),(178,1),(204,1)}
       156:{1,4,6}:{(132,1),(133,1),(175,1)}
       157:{1,3,5,6,7}:{(133,1),(134,1),(176,1),(178,1),(199,1),(205,1)}
       158:{2,3,4}:{(135,1),(179,1)}
       159:{1,2,4,5}:{(135,1),(136,1),(141,1),(179,1),(180,1),(185,1)}
       160:{1,3,4,6}:{(136,1),(142,1),(180,1),(181,1),(188,1)}
       161:{1,3,5}:{(137,1),(138,1),(143,1),(182,1)}
       162:{1,2,5,6}:{(138,1),(139,1),(148,1),(183,1),(184,1)}
       163:{2,3,5,7}:{(139,1),(145,1),(149,1),(184,1),(189,1),(209,1)}
       164:{2,3,5}:{(140,1),(141,1),(143,1),(185,1)}
       165:{1,2,5,6}:{(141,1),(142,1),(151,1),(180,1),(186,1),(187,1)}
       166:{1,3,5,7}:{(142,1),(146,1),(152,1),(181,1),(187,1),(189,1)}
       167:{3,4,5}:{(143,1),(182,1),(185,1),(188,1)}
       168:{3,5,6}:{(143,1),(144,1),(154,1),(188,1),(189,1)}
       169:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(155,1),(184,1),(187,1),(189,1),(195,1),(207,1),(208,1),(209,1)}
       170:{1,3,6}:{(147,1),(148,1),(154,1)}
       171:{1,2,4,6,7}:{(148,1),(149,1),(184,1),(190,1),(207,1)}
       172:{2,4,5,7}:{(150,1),(153,1),(185,1),(191,1),(208,1),(209,1)}
       173:{2,3,6}:{(150,1),(151,1),(154,1),(191,1)}
       174:{1,2,6,7}:{(151,1),(152,1),(187,1),(192,1)}
       175:{3,4,6}:{(153,1),(154,1),(156,1),(191,1),(193,1)}
       176:{3,6,7}:{(154,1),(155,1),(189,1)}
       177:{1,4,5,6}:{(156,1),(193,1),(195,1)}
       178:{1,4,6,7}:{(156,1),(157,1),(194,1),(195,1),(207,1)}
       179:{2,3,5}:{(158,1),(159,1),(196,1)}
       180:{1,2,4,6}:{(159,1),(160,1),(165,1),(196,1),(197,1),(200,1)}
       181:{1,3,4,7}:{(160,1),(166,1),(197,1),(202,1)}
       182:{1,4,5}:{(161,1),(167,1),(198,1)}
       183:{1,3,5,6}:{(161,1),(162,1),(168,1),(170,1),(198,1),(199,1)}
       184:{1,2,5,7}:{(162,1),(163,1),(171,1),(199,1)}
       185:{2,4,5}:{(164,1),(167,1),(200,1)}
       186:{2,3,5,6}:{(164,1),(165,1),(168,1),(173,1),(196,1),(200,1),(201,1),(203,1)}
       187:{1,2,5,7}:{(165,1),(166,1),(174,1),(197,1),(201,1)}
       188:{3,4,6}:{(167,1),(168,1),(198,1),(200,1),(202,1)}
       189:{3,5,7}:{(168,1),(169,1),(176,1),(202,1)}
       190:{1,3,6,7}:{(170,1),(171,1),(176,1),(199,1)}
       191:{2,4,6}:{(172,1),(173,1),(175,1),(203,1)}
       192:{2,3,6,7}:{(173,1),(174,1),(176,1),(201,1),(204,1)}
       193:{3,5,6}:{(175,1),(177,1),(203,1),(205,1)}
       194:{3,4,6,7}:{(175,1),(176,1),(178,1),(202,1),(204,1),(205,1)}
       195:{1,4,5,7}:{(177,1),(178,1),(205,1)}
       196:{2,3,6}:{(179,1),(180,1),(206,1)}
       197:{1,2,4,7}:{(180,1),(181,1),(187,1),(206,1),(208,1)}
       198:{1,4,6}:{(182,1),(183,1),(188,1),(207,1)}
       199:{1,3,5,7}:{(183,1),(184,1),(189,1),(190,1),(207,1)}
       200:{2,4,6}:{(185,1),(186,1),(188,1),(208,1)}
       201:{2,3,5,7}:{(186,1),(187,1),(189,1),(192,1),(206,1),(208,1),(209,1)}
       202:{3,4,7}:{(188,1),(189,1),(207,1),(208,1)}
       203:{2,5,6}:{(191,1),(193,1),(209,1)}
       204:{2,4,6,7}:{(191,1),(192,1),(194,1),(208,1),(209,1)}
       205:{3,5,7}:{(193,1),(194,1),(195,1),(209,1)}
       206:{2,3,7}:{(196,1),(197,1)}
       207:{1,4,7}:{(198,1),(199,1),(202,1)}
       208:{2,4,7}:{(200,1),(201,1),(202,1)}
       209:{2,5,7}:{(203,1),(204,1),(205,1)}

 879 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(20,1),(42,1),(48,1),(87,1),(100,1)}
         1:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(29,1),(33,1),(75,1)}
         2:{1,3,5}:{(0,1),(6,1),(8,1),(31,1),(110,1),(126,1)}
         3:{1,3,4,7}:{(0,1),(7,1),(9,1),(27,1),(67,1),(74,1),(113,1),(205,1)}
         4:{1,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(20,1),(21,1),(42,1),(57,1),(105,1)}
         5:{2,3,6}:{(1,1),(14,1),(15,1),(42,1)}
         6:{1,2,5}:{(1,1),(2,1),(14,1),(101,1)}
         7:{1,2,4,7}:{(1,1),(3,1),(15,1),(17,1),(49,1),(208,1)}
         8:{1,4,5}:{(2,1),(12,1),(18,1),(147,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(17,1),(19,1),(20,1),(53,1),(133,1),(197,1),(200,1)}
        10:{1,4,5,6}:{(12,1),(21,1),(22,1),(57,1),(107,1)}
        11:{1,2,5,6}:{(4,1),(6,1),(23,1),(24,1),(25,1),(33,1),(37,1),(110,1),(153,1)}
        12:{1,4,6}:{(4,1),(8,1),(26,1),(27,1),(130,1)}
        13:{1,3,5,7}:{(4,1),(25,1),(27,1),(28,1),(38,1),(67,1),(71,1),(119,1)}
        14:{2,3,5}:{(5,1),(6,1),(29,1),(31,1)}
        15:{2,3,7}:{(5,1),(7,1),(67,1),(209,1)}
        16:{1,2,4,5}:{(6,1),(8,1),(24,1),(29,1),(31,1),(34,1),(61,1),(72,1),(76,1),(110,1)}
        17:{1,2,5,7}:{(6,1),(7,1),(9,1),(30,1),(33,1),(204,1),(207,1)}
        18:{3,4,5}:{(8,1),(26,1),(31,1),(34,1)}
        19:{1,4,5,7}:{(8,1),(9,1),(27,1),(35,1),(36,1),(71,1),(188,1),(192,1)}
        20:{1,3,6}:{(9,1),(33,1),(36,1),(79,1),(153,1)}
        21:{3,5,6}:{(10,1),(26,1),(37,1),(38,1)}
        22:{1,4,5,7}:{(10,1),(27,1),(38,1),(39,1),(71,1),(121,1)}
        23:{2,3,5,6}:{(11,1),(14,1),(40,1),(41,1),(42,1),(50,1),(85,1),(101,1),(105,1),(134,1),(135,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(16,1),(40,1),(42,1),(43,1),(45,1),(87,1),(90,1)}
        25:{1,2,5,7}:{(11,1),(13,1),(41,1),(43,1),(44,1),(58,1),(133,1)}
        26:{3,4,6}:{(12,1),(18,1),(21,1),(42,1),(45,1),(46,1)}
        27:{1,4,7}:{(12,1),(13,1),(46,1),(141,1)}
        28:{1,3,6,7}:{(13,1),(20,1),(44,1),(47,1),(59,1),(93,1),(197,1)}
        29:{2,4}:{(14,1),(48,1)}
        30:{2,3,5,7}:{(14,1),(15,1),(17,1),(49,1),(50,1),(53,1),(101,1),(196,1),(198,1),(201,1)}
        31:{3,5}:{(16,1),(42,1),(48,1)}
        32:{1,2,4,5,7}:{(16,1),(17,1),(19,1),(43,1),(49,1),(53,1),(54,1),(55,1),(86,1),(94,1),(98,1),(101,1),(102,1),(133,1),(141,1),(145,1),(147,1),(172,1),(173,1),(178,1),(196,1)}
        33:{1,2,6}:{(17,1),(20,1),(50,1)}
        34:{2,4,5}:{(18,1),(45,1),(52,1)}
        35:{3,4,5,7}:{(18,1),(19,1),(46,1),(53,1),(55,1),(56,1),(96,1),(141,1),(147,1),(175,1),(180,1)}
        36:{1,4,6}:{(19,1),(20,1),(56,1),(57,1)}
        37:{2,5,6}:{(21,1),(45,1),(58,1)}
        38:{3,5,7}:{(21,1),(22,1),(46,1),(58,1),(59,1)}
        39:{1,4,6,7}:{(22,1),(59,1),(60,1),(109,1)}
        40:{2,4,6}:{(23,1),(29,1),(61,1),(62,1),(63,1),(130,1)}
        41:{2,3,5,7}:{(23,1),(25,1),(63,1),(64,1),(67,1),(111,1),(115,1),(119,1)}
        42:{3,6}:{(24,1),(31,1),(67,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(27,1),(63,1),(67,1),(69,1),(113,1),(116,1)}
        44:{1,2,6,7}:{(25,1),(28,1),(33,1),(64,1),(83,1),(153,1),(204,1)}
        45:{2,4,6}:{(26,1),(34,1),(37,1),(66,1),(69,1)}
        46:{3,4,7}:{(26,1),(27,1),(38,1),(67,1),(69,1)}
        47:{1,4,6,7}:{(27,1),(28,1),(36,1),(70,1),(71,1),(169,1),(188,1)}
        48:{3,4}:{(29,1),(31,1),(72,1)}
        49:{2,4,7}:{(29,1),(30,1),(74,1),(75,1),(206,1)}
        50:{2,3,6}:{(30,1),(33,1),(75,1),(79,1),(203,1)}
        51:{1,3,5}:{(31,1),(65,1),(72,1),(76,1),(110,1),(122,1)}
        52:{2,3,5}:{(31,1),(34,1),(66,1),(73,1),(76,1)}
        53:{3,5,7}:{(31,1),(32,1),(67,1),(74,1),(79,1),(126,1),(186,1),(190,1)}
        54:{1,2,4,6}:{(32,1),(33,1),(36,1),(75,1),(79,1),(80,1),(81,1),(112,1),(124,1),(127,1),(130,1),(153,1),(184,1),(203,1)}
        55:{2,4,5,7}:{(34,1),(35,1),(69,1),(78,1),(81,1),(120,1),(159,1),(164,1)}
        56:{3,4,6}:{(35,1),(36,1),(79,1),(81,1),(82,1),(130,1)}
        57:{1,5,6}:{(36,1),(71,1),(82,1)}
        58:{2,5,7}:{(37,1),(38,1),(69,1),(83,1)}
        59:{3,6,7}:{(38,1),(39,1),(83,1)}
        60:{1,5,6,7}:{(39,1),(71,1),(84,1),(169,1)}
        61:{2,4,5}:{(40,1),(85,1),(101,1),(147,1)}
        62:{3,4,6}:{(40,1),(42,1),(48,1),(85,1),(87,1),(88,1),(134,1)}
        63:{2,4,7}:{(40,1),(41,1),(88,1),(141,1)}
        64:{2,3,6,7}:{(41,1),(44,1),(50,1),(89,1),(93,1),(134,1),(198,1)}
        65:{1,3,6}:{(42,1),(51,1),(87,1),(90,1),(91,1)}
        66:{2,3,6}:{(42,1),(45,1),(52,1),(90,1),(92,1)}
        67:{3,7}:{(42,1),(43,1)}
        68:{1,2,4,6,7}:{(43,1),(44,1),(47,1),(54,1),(89,1),(93,1),(94,1),(95,1),(136,1),(138,1),(141,1),(173,1)}
        69:{2,4,7}:{(45,1),(46,1),(58,1),(92,1)}
        70:{3,4,6,7}:{(46,1),(47,1),(56,1),(59,1),(93,1),(95,1),(96,1),(109,1),(141,1),(152,1),(175,1)}
        71:{1,5,7}:{(47,1),(57,1),(96,1)}
        72:{1,4}:{(48,1),(51,1)}
        73:{2,3,4}:{(48,1),(52,1),(97,1)}
        74:{3,4,7}:{(48,1),(49,1),(53,1),(98,1),(100,1),(141,1),(199,1)}
        75:{2,4,6}:{(49,1),(50,1),(100,1),(101,1)}
        76:{1,2,5}:{(51,1),(52,1),(90,1),(97,1)}
        77:{1,3,5,7}:{(51,1),(53,1),(91,1),(98,1),(102,1),(103,1),(133,1),(143,1),(145,1),(177,1)}
        78:{2,3,5,7}:{(52,1),(53,1),(55,1),(92,1),(99,1),(102,1),(104,1),(146,1),(196,1)}
        79:{3,6}:{(53,1),(54,1)}
        80:{1,2,5,6}:{(54,1),(57,1),(94,1),(101,1),(105,1),(106,1),(135,1),(145,1),(170,1)}
        81:{2,4,6}:{(55,1),(56,1),(104,1),(106,1)}
        82:{3,5,6}:{(56,1),(57,1),(96,1),(106,1),(107,1)}
        83:{2,6,7}:{(58,1),(59,1)}
        84:{3,5,6,7}:{(59,1),(60,1),(96,1),(108,1),(109,1),(152,1)}
        85:{3,5}:{(61,1),(62,1),(110,1)}
        86:{2,4,5,7}:{(61,1),(63,1),(111,1),(112,1),(115,1),(156,1)}
        87:{1,4,6}:{(62,1),(65,1),(72,1),(110,1),(113,1),(153,1)}
        88:{3,4,7}:{(62,1),(63,1),(67,1),(111,1),(113,1)}
        89:{2,4,6,7}:{(63,1),(64,1),(75,1),(112,1),(114,1),(115,1),(187,1),(203,1)}
        90:{1,2,6}:{(65,1),(66,1),(76,1),(116,1)}
        91:{1,3,7}:{(65,1),(67,1),(113,1),(116,1)}
        92:{2,3,7}:{(66,1),(67,1),(69,1),(116,1)}
        93:{3,6,7}:{(67,1),(68,1),(79,1),(119,1),(186,1)}
        94:{1,2,5,7}:{(68,1),(71,1),(80,1),(115,1),(119,1),(120,1),(155,1)}
        95:{2,4,6,7}:{(69,1),(70,1),(81,1),(83,1),(118,1),(120,1),(159,1)}
        96:{3,5,7}:{(70,1),(71,1),(82,1),(120,1),(121,1)}
        97:{1,2,4}:{(72,1),(73,1),(76,1),(122,1)}
        98:{1,4,7}:{(72,1),(74,1),(77,1),(124,1),(189,1)}
        99:{2,3,4,7}:{(73,1),(74,1),(78,1),(123,1),(125,1),(159,1),(186,1),(187,1)}
       100:{3,4,6}:{(74,1),(75,1),(79,1),(124,1),(126,1),(130,1)}
       101:{2,5}:{(75,1),(126,1)}
       102:{1,2,5,7}:{(76,1),(77,1),(78,1),(116,1),(123,1),(127,1),(162,1)}
       103:{1,3,6}:{(77,1),(79,1),(124,1),(127,1),(153,1)}
       104:{2,3,6}:{(78,1),(79,1),(81,1),(127,1),(203,1)}
       105:{3,5,6}:{(79,1),(80,1),(119,1),(126,1),(130,1)}
       106:{2,5,6}:{(81,1),(82,1),(120,1)}
       107:{4,5,6}:{(82,1),(121,1),(130,1)}
       108:{2,5,6,7}:{(83,1),(84,1),(120,1),(132,1)}
       109:{4,6,7}:{(84,1),(121,1)}
       110:{1,5}:{(85,1),(87,1)}
       111:{3,5,7}:{(85,1),(86,1),(88,1),(133,1),(134,1)}
       112:{2,4,6}:{(86,1),(134,1),(135,1),(171,1)}
       113:{1,4,7}:{(87,1),(88,1),(91,1),(133,1)}
       114:{3,4,6,7}:{(88,1),(89,1),(93,1),(100,1),(134,1),(136,1),(137,1),(141,1),(171,1),(174,1),(195,1)}
       115:{2,5,7}:{(89,1),(101,1),(135,1),(137,1)}
       116:{1,2,7}:{(90,1),(91,1),(92,1)}
       117:{1,3,6,7}:{(91,1),(93,1),(103,1),(136,1),(138,1),(139,1),(195,1)}
       118:{2,3,6,7}:{(92,1),(93,1),(95,1),(104,1),(138,1),(140,1),(152,1)}
       119:{3,5,7}:{(93,1),(94,1),(105,1),(141,1)}
       120:{2,5,7}:{(95,1),(96,1),(106,1)}
       121:{4,5,7}:{(96,1),(107,1),(109,1),(141,1)}
       122:{1,3}:{(97,1)}
       123:{1,2,4,7}:{(97,1),(98,1),(99,1),(102,1),(143,1),(144,1)}
       124:{1,4,6}:{(98,1),(100,1),(103,1),(145,1)}
       125:{2,3,4,6}:{(99,1),(100,1),(104,1),(144,1),(146,1),(150,1),(181,1),(182,1),(199,1)}
       126:{3,5}:{(100,1),(101,1),(145,1),(147,1)}
       127:{1,2,6}:{(102,1),(103,1),(104,1)}
       128:{1,3,5,6}:{(103,1),(105,1),(139,1),(145,1),(148,1),(149,1),(170,1),(177,1),(179,1),(181,1),(195,1)}
       129:{2,3,5,6}:{(104,1),(105,1),(106,1),(140,1),(146,1),(148,1),(150,1),(151,1),(181,1)}
       130:{4,6}:{(105,1),(141,1),(147,1)}
       131:{2,4,5,6}:{(106,1),(107,1),(142,1),(150,1),(151,1)}
       132:{2,4,6,7}:{(108,1),(109,1),(142,1),(152,1)}
       133:{1,5,7}:{(110,1),(111,1),(113,1),(153,1)}
       134:{3,6}:{(111,1),(112,1),(153,1)}
       135:{2,5,6}:{(112,1),(115,1),(154,1),(203,1)}
       136:{1,4,6,7}:{(113,1),(114,1),(117,1),(124,1),(153,1),(155,1),(158,1),(184,1)}
       137:{3,5,7}:{(114,1),(115,1),(126,1),(154,1),(155,1),(156,1)}
       138:{1,2,6,7}:{(116,1),(117,1),(118,1),(127,1),(157,1),(169,1),(203,1)}
       139:{1,3,5,7}:{(117,1),(119,1),(128,1),(155,1),(157,1),(158,1),(185,1),(186,1)}
       140:{2,3,5,7}:{(118,1),(119,1),(120,1),(129,1),(157,1),(159,1),(160,1),(186,1)}
       141:{4,7}:{(119,1),(130,1)}
       142:{2,4,5,7}:{(120,1),(121,1),(131,1),(132,1),(159,1),(160,1)}
       143:{1,3,7}:{(122,1),(123,1),(161,1),(186,1)}
       144:{1,2,4,6}:{(123,1),(124,1),(125,1),(127,1),(161,1),(162,1),(189,1)}
       145:{1,5}:{(124,1),(126,1)}
       146:{2,3,5}:{(125,1),(126,1),(162,1),(164,1),(190,1),(191,1)}
       147:{4,5}:{(126,1),(130,1)}
       148:{1,2,5,6}:{(127,1),(128,1),(129,1),(157,1),(162,1),(165,1),(168,1),(191,1),(203,1)}
       149:{1,4,6}:{(128,1),(130,1),(158,1),(163,1),(166,1),(189,1)}
       150:{2,4,6}:{(129,1),(130,1),(159,1),(164,1),(167,1)}
       151:{3,5,6}:{(131,1),(160,1),(167,1),(168,1)}
       152:{3,6,7}:{(132,1),(160,1),(169,1)}
       153:{1,6}:{(133,1),(134,1)}
       154:{3,5,6}:{(134,1),(135,1),(137,1),(170,1),(171,1),(195,1)}
       155:{1,5,7}:{(136,1),(137,1),(145,1),(170,1)}
       156:{4,5,7}:{(137,1),(141,1),(147,1),(171,1)}
       157:{1,2,5,7}:{(138,1),(139,1),(140,1),(148,1),(173,1),(176,1),(196,1)}
       158:{1,4,7}:{(139,1),(141,1),(149,1),(174,1)}
       159:{2,4,7}:{(140,1),(141,1),(150,1),(175,1)}
       160:{3,5,7}:{(142,1),(151,1),(152,1),(175,1),(176,1)}
       161:{1,3,6}:{(143,1),(144,1),(177,1),(181,1)}
       162:{1,2,5}:{(144,1),(145,1),(146,1),(177,1)}
       163:{1,4,5}:{(145,1),(147,1),(149,1),(179,1)}
       164:{2,4,5}:{(146,1),(147,1),(150,1),(180,1)}
       165:{1,2,4,6}:{(148,1),(149,1),(150,1),(173,1),(178,1),(181,1),(182,1),(183,1),(202,1)}
       166:{3,4,6}:{(149,1),(174,1),(179,1),(181,1),(182,1),(195,1),(199,1)}
       167:{3,4,6}:{(150,1),(151,1),(175,1),(180,1),(181,1),(183,1)}
       168:{1,5,6}:{(151,1),(176,1),(183,1)}
       169:{1,6,7}:{(152,1),(176,1)}
       170:{1,5,6}:{(153,1),(154,1),(155,1),(184,1)}
       171:{4,6}:{(154,1),(156,1)}
       172:{1,4,5,7}:{(155,1),(156,1),(158,1),(163,1),(184,1),(185,1)}
       173:{1,2,4,7}:{(157,1),(158,1),(159,1),(165,1),(186,1),(187,1),(188,1),(204,1)}
       174:{3,4,7}:{(158,1),(166,1),(185,1),(186,1),(187,1)}
       175:{3,4,7}:{(159,1),(160,1),(167,1),(186,1),(188,1)}
       176:{1,5,7}:{(160,1),(168,1),(169,1),(188,1)}
       177:{1,3,5}:{(161,1),(162,1),(189,1),(190,1)}
       178:{1,2,4,5}:{(162,1),(163,1),(164,1),(165,1),(189,1),(190,1),(191,1),(192,1),(206,1),(207,1)}
       179:{3,5}:{(163,1),(166,1),(191,1)}
       180:{3,4,5}:{(164,1),(167,1),(190,1),(192,1)}
       181:{3,6}:{(165,1),(186,1),(190,1)}
       182:{2,4,6}:{(166,1),(187,1),(191,1),(194,1),(203,1),(206,1)}
       183:{1,4,6}:{(167,1),(168,1),(188,1),(192,1),(193,1)}
       184:{1,4,6}:{(170,1),(171,1),(172,1),(195,1)}
       185:{3,5,7}:{(172,1),(174,1),(179,1),(195,1),(196,1)}
       186:{3,7}:{(173,1),(181,1)}
       187:{2,4,7}:{(174,1),(182,1),(196,1),(198,1)}
       188:{1,4,7}:{(175,1),(176,1),(183,1),(197,1)}
       189:{1,4}:{(177,1),(199,1)}
       190:{3,5}:{(178,1),(181,1),(199,1)}
       191:{2,5}:{(179,1),(182,1)}
       192:{1,4,5}:{(180,1),(183,1),(200,1)}
       193:{1,3,6}:{(181,1),(183,1),(197,1),(200,1),(202,1)}
       194:{2,3,6}:{(181,1),(182,1),(198,1),(201,1),(202,1)}
       195:{3,6}:{(184,1),(185,1),(203,1)}
       196:{2,5,7}:{(185,1),(187,1),(191,1),(203,1)}
       197:{1,3,7}:{(186,1),(188,1),(193,1),(204,1)}
       198:{2,3,7}:{(186,1),(187,1),(194,1),(204,1)}
       199:{3,4}:{(189,1),(190,1),(206,1)}
       200:{1,3,5}:{(190,1),(192,1),(193,1),(205,1),(207,1)}
       201:{2,3,5}:{(190,1),(191,1),(194,1),(206,1),(207,1),(209,1)}
       202:{1,2,6}:{(193,1),(194,1),(204,1),(207,1)}
       203:{2,6}:{(195,1),(196,1)}
       204:{1,2,7}:{(197,1),(198,1),(202,1)}
       205:{1,3,4}:{(199,1),(200,1),(208,1)}
       206:{2,4}:{(199,1),(201,1)}
       207:{1,2,5}:{(200,1),(201,1),(202,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{2,3}:{(208,1)}

 880 :   0:{1,3,5,7}:{(3,1),(4,1),(5,1),(6,1),(22,1),(26,1),(51,1)}
         1:{1,4,5,7}:{(4,1),(6,1),(7,1),(9,1),(26,1),(30,1),(53,1)}
         2:{1,4,6,7}:{(7,1),(8,1),(9,1),(30,1)}
         3:{1,2,5,7}:{(0,1),(10,1),(11,1),(12,1),(15,1),(37,1),(57,1)}
         4:{1,4,7}:{(0,1),(13,1),(14,1),(65,1),(68,1)}
         5:{1,3,6}:{(0,1),(12,1),(14,1),(16,1),(36,1),(99,1)}
         6:{3,5,7}:{(1,1),(13,1),(15,1),(16,1),(39,1)}
         7:{1,4,6}:{(1,1),(16,1),(17,1),(41,1)}
         8:{3,6,7}:{(2,1),(16,1),(18,1),(19,1)}
         9:{1,5,7}:{(2,1),(17,1),(19,1),(68,1)}
        10:{2,3,5,7}:{(3,1),(20,1),(21,1),(22,1),(43,1),(47,1),(51,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(20,1),(22,1),(23,1),(24,1),(45,1),(48,1)}
        12:{1,2,6}:{(3,1),(5,1),(21,1),(27,1),(71,1),(103,1)}
        13:{3,4,7}:{(4,1),(6,1),(22,1),(24,1),(25,1),(30,1),(55,1)}
        14:{1,4,6}:{(4,1),(5,1),(25,1),(26,1),(79,1),(95,1)}
        15:{2,5,7}:{(6,1),(24,1),(27,1),(52,1)}
        16:{3,6}:{(6,1),(7,1),(27,1)}
        17:{1,5,6}:{(7,1),(9,1),(26,1),(28,1),(79,1)}
        18:{2,6,7}:{(8,1),(27,1),(29,1)}
        19:{3,5,7}:{(8,1),(9,1),(28,1),(29,1),(30,1),(55,1)}
        20:{2,4,7}:{(10,1),(32,1),(33,1),(65,1),(104,1)}
        21:{2,3,6}:{(10,1),(12,1),(33,1),(36,1),(58,1),(100,1)}
        22:{3,7}:{(11,1),(36,1)}
        23:{1,2,4,6}:{(11,1),(12,1),(14,1),(33,1),(36,1),(37,1),(38,1),(60,1),(62,1),(65,1),(85,1)}
        24:{2,4,7}:{(13,1),(15,1),(35,1),(38,1)}
        25:{3,4,6}:{(13,1),(14,1),(16,1),(36,1),(38,1),(39,1),(41,1),(65,1),(67,1),(87,1)}
        26:{1,5}:{(14,1),(39,1)}
        27:{2,6}:{(15,1),(16,1)}
        28:{3,5,6}:{(16,1),(17,1),(19,1),(39,1),(40,1),(41,1),(67,1)}
        29:{2,5,7}:{(18,1),(19,1),(40,1),(42,1)}
        30:{4,7}:{(19,1),(41,1)}
        31:{2,4,5,7}:{(20,1),(43,1),(44,1),(47,1),(70,1),(74,1),(90,1)}
        32:{3,4,7}:{(20,1),(22,1),(43,1),(45,1),(46,1),(90,1),(101,1)}
        33:{2,4,6}:{(20,1),(21,1),(46,1),(47,1),(94,1),(102,1)}
        34:{1,3,7}:{(22,1),(45,1),(48,1),(49,1),(101,1)}
        35:{2,3,7}:{(22,1),(24,1),(48,1),(50,1),(55,1)}
        36:{3,6}:{(22,1),(23,1),(51,1),(93,1)}
        37:{1,2,5}:{(23,1),(26,1),(47,1),(51,1),(52,1),(73,1)}
        38:{2,4,6}:{(24,1),(25,1),(27,1),(50,1),(52,1),(77,1)}
        39:{3,5}:{(25,1),(26,1),(52,1),(53,1)}
        40:{2,5,6}:{(27,1),(28,1),(29,1),(52,1),(54,1)}
        41:{4,6}:{(28,1),(30,1),(53,1)}
        42:{2,4,7}:{(29,1),(30,1),(54,1),(55,1)}
        43:{3,5,7}:{(31,1),(32,1),(57,1),(58,1),(61,1)}
        44:{2,4,6}:{(31,1),(58,1),(59,1),(83,1)}
        45:{1,4,7}:{(32,1),(34,1),(57,1),(60,1)}
        46:{3,4,6}:{(32,1),(33,1),(36,1),(58,1),(60,1),(61,1),(65,1),(83,1),(86,1),(97,1)}
        47:{2,5}:{(33,1),(61,1)}
        48:{1,2,7}:{(34,1),(35,1),(62,1),(68,1),(104,1)}
        49:{1,3,6}:{(34,1),(36,1),(60,1),(62,1),(63,1),(97,1)}
        50:{2,3,6}:{(35,1),(36,1),(38,1),(62,1),(64,1),(67,1)}
        51:{3,5}:{(36,1),(37,1),(65,1)}
        52:{2,5}:{(38,1),(39,1)}
        53:{4,5}:{(39,1),(41,1),(65,1)}
        54:{2,4,6}:{(40,1),(41,1),(42,1),(66,1),(67,1)}
        55:{3,7}:{(42,1),(67,1),(68,1)}
        56:{2,4,6,7}:{(44,1),(69,1),(70,1),(90,1)}
        57:{1,5,7}:{(43,1),(45,1),(71,1),(73,1)}
        58:{3,6}:{(43,1),(44,1),(71,1)}
        59:{2,5,6}:{(44,1),(47,1),(70,1),(72,1),(102,1)}
        60:{1,4,6}:{(45,1),(46,1),(49,1),(71,1),(73,1),(76,1)}
        61:{3,5}:{(46,1),(47,1),(73,1),(74,1)}
        62:{1,2,6}:{(48,1),(49,1),(50,1),(75,1),(79,1),(102,1)}
        63:{1,3,5}:{(49,1),(51,1),(73,1),(75,1),(76,1),(92,1),(93,1)}
        64:{2,3,5}:{(50,1),(51,1),(52,1),(75,1),(77,1),(78,1),(93,1)}
        65:{4}:{(51,1)}
        66:{2,4,5}:{(52,1),(53,1),(54,1),(77,1),(78,1)}
        67:{3,6}:{(54,1),(55,1),(78,1),(79,1)}
        68:{1,7}:{(55,1),(79,1)}
        69:{3,6,7}:{(56,1),(58,1),(80,1),(81,1)}
        70:{2,5,7}:{(56,1),(59,1),(81,1),(104,1)}
        71:{1,6}:{(57,1),(58,1)}
        72:{3,5,6}:{(58,1),(59,1),(61,1),(81,1),(82,1),(83,1),(97,1)}
        73:{1,5}:{(60,1),(61,1)}
        74:{4,5}:{(61,1),(65,1),(83,1)}
        75:{1,2,5}:{(62,1),(63,1),(64,1),(85,1),(88,1),(98,1)}
        76:{1,4}:{(63,1),(65,1),(86,1)}
        77:{2,4}:{(64,1),(65,1),(87,1)}
        78:{3,5}:{(66,1),(67,1),(87,1),(88,1)}
        79:{1,6}:{(67,1),(68,1),(88,1)}
        80:{1,6,7}:{(69,1),(71,1),(89,1)}
        81:{3,5,7}:{(69,1),(70,1),(72,1),(89,1),(90,1),(101,1)}
        82:{1,5,6}:{(71,1),(72,1),(73,1),(89,1),(91,1)}
        83:{4,6}:{(72,1),(74,1),(90,1)}
        84:{1,4,5}:{(73,1),(74,1),(76,1),(91,1),(92,1)}
        85:{1,2,4}:{(75,1),(76,1),(77,1),(93,1),(94,1),(95,1),(103,1)}
        86:{3,4}:{(76,1),(92,1),(93,1),(94,1)}
        87:{3,4}:{(77,1),(78,1),(93,1),(95,1)}
        88:{1,5}:{(78,1),(79,1),(95,1)}
        89:{1,5,7}:{(80,1),(81,1),(82,1),(96,1)}
        90:{4,7}:{(81,1),(83,1)}
        91:{1,4,6}:{(82,1),(83,1),(84,1),(96,1),(97,1)}
        92:{3,5}:{(84,1),(86,1),(97,1),(98,1)}
        93:{3}:{(85,1)}
        94:{2,4}:{(86,1),(98,1),(100,1)}
        95:{1,4}:{(87,1),(88,1),(99,1)}
        96:{1,4,7}:{(89,1),(90,1),(91,1),(101,1)}
        97:{3,6}:{(91,1),(92,1),(101,1),(102,1)}
        98:{2,5}:{(92,1),(94,1),(102,1)}
        99:{1,3}:{(93,1),(95,1),(103,1)}
       100:{2,3}:{(93,1),(94,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{2,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{2,7}:{(101,1),(102,1)}

 881 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(18,1),(32,1),(34,1),(43,1),(64,1),(76,1),(99,1),(108,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(20,1),(21,1),(30,1),(61,1),(94,1),(112,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(29,1),(80,1),(109,1)}
         3:{2,3,5,6,7}:{(6,1),(8,1),(9,1),(28,1),(29,1),(60,1),(116,1)}
         4:{1,3,6,7}:{(1,1),(10,1),(34,1),(108,1),(124,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(10,1),(11,1),(44,1),(121,1)}
         6:{2,3,5,6}:{(2,1),(11,1),(13,1),(34,1),(37,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(14,1),(76,1),(96,1)}
         8:{1,2,5,6,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(73,1),(77,1),(103,1)}
         9:{2,4,6,7}:{(3,1),(13,1),(17,1),(18,1),(76,1),(127,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(19,1),(20,1),(22,1),(130,1)}
        11:{1,2,5,6}:{(5,1),(6,1),(19,1),(21,1),(53,1),(80,1)}
        12:{1,2,4,5,7}:{(5,1),(7,1),(20,1),(21,1),(22,1),(25,1),(45,1),(48,1),(52,1),(80,1),(94,1),(110,1)}
        13:{2,4,6}:{(6,1),(7,1),(24,1)}
        14:{3,4,5,7}:{(7,1),(22,1),(24,1),(25,1),(29,1),(58,1),(78,1)}
        15:{1,3,5,6,7}:{(8,1),(19,1),(26,1),(28,1),(55,1),(59,1),(87,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(21,1),(26,1),(27,1),(28,1),(30,1),(57,1),(61,1),(94,1),(115,1)}
        17:{2,4,5,7}:{(9,1),(23,1),(29,1),(134,1)}
        18:{3,4,6,7}:{(9,1),(24,1),(28,1),(29,1),(30,1),(58,1),(133,1)}
        19:{1,3,5,6}:{(10,1),(11,1),(31,1),(34,1),(62,1)}
        20:{1,4,7}:{(10,1),(31,1),(32,1),(136,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(13,1),(31,1),(34,1),(38,1),(64,1),(69,1)}
        22:{3,5,7}:{(12,1),(32,1),(34,1),(62,1),(108,1),(122,1)}
        23:{2,4,5,6}:{(13,1),(17,1),(37,1)}
        24:{3,4,6}:{(13,1),(14,1),(34,1),(37,1),(38,1)}
        25:{1,4,5,7}:{(14,1),(35,1),(38,1),(44,1),(75,1),(95,1)}
        26:{1,4,6,7}:{(15,1),(31,1),(39,1),(40,1),(75,1),(101,1)}
        27:{1,2,4,5,7}:{(16,1),(17,1),(33,1),(39,1),(41,1),(44,1),(73,1),(75,1),(76,1),(77,1)}
        28:{3,6,7}:{(16,1),(34,1),(41,1),(108,1),(126,1)}
        29:{3,5,7}:{(17,1),(18,1),(37,1),(44,1),(138,1)}
        30:{1,4,6,7}:{(18,1),(38,1),(42,1),(44,1),(75,1),(137,1)}
        31:{1,4,6}:{(19,1),(20,1),(45,1),(46,1)}
        32:{3,4,7}:{(20,1),(22,1),(46,1),(48,1),(131,1)}
        33:{1,2,4,5,6}:{(21,1),(23,1),(27,1),(45,1),(49,1),(53,1),(54,1),(80,1),(83,1),(84,1),(85,1),(88,1),(110,1),(115,1),(134,1),(139,1)}
        34:{3,6}:{(21,1),(22,1)}
        35:{1,3,5,7}:{(22,1),(25,1),(47,1),(50,1),(52,1),(79,1)}
        36:{2,3,5,7}:{(22,1),(48,1),(51,1),(52,1),(80,1),(82,1),(111,1)}
        37:{3,5,6}:{(23,1),(24,1),(29,1),(53,1)}
        38:{1,4,6}:{(24,1),(25,1),(50,1),(53,1)}
        39:{1,4,5,7}:{(26,1),(45,1),(54,1),(55,1)}
        40:{3,4,6,7}:{(26,1),(28,1),(46,1),(55,1),(57,1),(58,1),(86,1)}
        41:{3,5,7}:{(27,1),(28,1),(49,1),(58,1)}
        42:{1,3,6,7}:{(28,1),(30,1),(50,1),(59,1),(61,1),(132,1)}
        43:{2,3,6,7}:{(28,1),(51,1),(57,1),(60,1),(61,1),(114,1)}
        44:{1,5,7}:{(29,1),(30,1),(53,1),(139,1)}
        45:{1,4,5}:{(31,1),(62,1)}
        46:{3,4,6}:{(31,1),(32,1),(34,1),(62,1),(64,1)}
        47:{1,3,4,7}:{(32,1),(35,1),(63,1),(65,1),(75,1),(108,1)}
        48:{2,4,7}:{(32,1),(36,1),(64,1),(123,1)}
        49:{3,5,6}:{(33,1),(34,1),(41,1),(62,1),(66,1),(122,1),(126,1),(138,1)}
        50:{1,3,6}:{(34,1),(35,1),(38,1),(69,1)}
        51:{2,3,6}:{(34,1),(36,1),(64,1),(69,1)}
        52:{1,2,5,7}:{(35,1),(36,1),(65,1),(69,1),(97,1)}
        53:{1,5,6}:{(37,1),(38,1),(44,1)}
        54:{1,4,5,6}:{(39,1),(70,1),(101,1)}
        55:{3,5,7}:{(39,1),(40,1),(62,1),(70,1),(73,1)}
        56:{1,3,4,6,7}:{(40,1),(42,1),(63,1),(72,1),(74,1),(75,1),(101,1),(108,1),(126,1),(129,1),(137,1)}
        57:{2,4,6,7}:{(40,1),(43,1),(64,1),(73,1),(76,1),(102,1)}
        58:{3,4,7}:{(41,1),(66,1),(75,1),(76,1),(108,1)}
        59:{1,3,5,7}:{(41,1),(42,1),(44,1),(67,1),(75,1),(77,1),(108,1)}
        60:{2,3,5,7}:{(41,1),(43,1),(68,1),(73,1),(76,1),(77,1),(108,1)}
        61:{1,2,6,7}:{(42,1),(43,1),(69,1),(77,1),(125,1)}
        62:{3,5}:{(45,1),(46,1),(80,1)}
        63:{1,3,4,6}:{(46,1),(47,1),(50,1),(79,1),(81,1),(83,1),(113,1),(131,1)}
        64:{2,4,6}:{(46,1),(48,1),(51,1),(80,1)}
        65:{1,2,4,7}:{(47,1),(48,1),(52,1),(81,1),(82,1)}
        66:{3,4,6}:{(49,1),(58,1),(78,1),(83,1),(84,1),(113,1),(131,1)}
        67:{1,3,5,6}:{(49,1),(50,1),(53,1),(59,1),(79,1),(83,1),(85,1),(113,1),(130,1),(132,1),(139,1)}
        68:{2,3,5,6}:{(49,1),(51,1),(60,1),(80,1),(84,1),(85,1),(88,1),(109,1),(111,1),(113,1),(114,1)}
        69:{1,2,6}:{(50,1),(51,1),(52,1)}
        70:{3,5,6}:{(54,1),(55,1),(86,1),(88,1)}
        71:{3,4,5,7}:{(55,1),(58,1),(78,1),(86,1),(89,1),(90,1),(118,1)}
        72:{1,3,5,7}:{(55,1),(56,1),(79,1),(87,1),(89,1),(91,1),(118,1),(139,1)}
        73:{2,5,7}:{(55,1),(57,1),(80,1),(88,1)}
        74:{1,2,4,6,7}:{(56,1),(57,1),(61,1),(81,1),(91,1),(92,1),(94,1),(115,1),(119,1)}
        75:{1,4,7}:{(58,1),(59,1),(83,1)}
        76:{2,4,7}:{(58,1),(60,1),(84,1)}
        77:{1,2,5,7}:{(59,1),(60,1),(61,1),(85,1),(94,1)}
        78:{3,4,5}:{(62,1),(66,1),(95,1),(96,1),(122,1),(138,1)}
        79:{1,3,5}:{(62,1),(63,1),(95,1),(97,1),(122,1)}
        80:{2,5}:{(62,1),(64,1)}
        81:{1,2,4,6}:{(63,1),(64,1),(65,1),(69,1),(97,1),(98,1),(123,1)}
        82:{2,3,7}:{(65,1),(98,1),(108,1)}
        83:{1,4,6}:{(66,1),(67,1),(75,1),(95,1),(136,1)}
        84:{2,4,6}:{(66,1),(68,1),(76,1),(96,1),(123,1)}
        85:{1,2,5,6}:{(67,1),(68,1),(69,1),(77,1),(97,1),(100,1),(121,1),(125,1)}
        86:{3,4,6}:{(70,1),(71,1),(101,1),(102,1),(126,1)}
        87:{1,3,5,6}:{(70,1),(72,1),(101,1),(103,1),(126,1)}
        88:{2,5,6}:{(70,1),(73,1),(102,1)}
        89:{1,4,5,7}:{(71,1),(72,1),(75,1),(95,1),(101,1)}
        90:{2,4,5,7}:{(71,1),(73,1),(76,1),(96,1),(102,1),(104,1)}
        91:{1,2,5,7}:{(72,1),(73,1),(74,1),(97,1),(103,1),(106,1)}
        92:{2,3,6,7}:{(74,1),(98,1),(106,1),(108,1),(126,1)}
        93:{2,3,4,7}:{(76,1),(99,1),(104,1),(107,1),(108,1),(129,1)}
        94:{1,2,4,7}:{(75,1),(76,1),(77,1),(100,1),(108,1)}
        95:{1,4,5}:{(78,1),(79,1),(83,1),(139,1)}
        96:{2,4,5}:{(78,1),(80,1),(84,1),(109,1)}
        97:{1,2,5}:{(79,1),(80,1),(81,1),(111,1)}
        98:{2,3,6}:{(81,1),(82,1),(111,1),(113,1)}
        99:{2,3,4,6}:{(84,1),(93,1),(109,1),(112,1),(113,1),(114,1),(131,1),(133,1)}
       100:{1,2,4,6}:{(83,1),(84,1),(85,1),(94,1),(110,1),(113,1)}
       101:{1,4,6}:{(86,1),(87,1),(89,1)}
       102:{2,4,6}:{(86,1),(88,1),(90,1),(114,1)}
       103:{1,2,5,6}:{(87,1),(88,1),(91,1),(115,1),(116,1),(139,1)}
       104:{2,3,5,7}:{(90,1),(93,1),(109,1),(114,1),(117,1),(118,1)}
       105:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(110,1),(115,1),(117,1),(118,1),(119,1),(134,1),(135,1),(139,1)}
       106:{2,3,5,7}:{(91,1),(92,1),(111,1),(116,1),(118,1),(119,1)}
       107:{1,2,4,7}:{(93,1),(112,1),(117,1),(120,1),(135,1)}
       108:{3,7}:{(94,1),(113,1)}
       109:{2,3,5}:{(96,1),(99,1),(121,1),(122,1),(138,1)}
       110:{1,2,4,5}:{(95,1),(96,1),(97,1),(100,1),(121,1),(122,1),(123,1),(136,1)}
       111:{2,3,5}:{(97,1),(98,1),(122,1),(123,1)}
       112:{1,2,4,6}:{(99,1),(107,1),(121,1),(124,1),(125,1),(136,1),(137,1)}
       113:{3,6}:{(100,1),(108,1),(122,1)}
       114:{2,3,6}:{(102,1),(104,1),(125,1),(126,1)}
       115:{1,2,4,6}:{(101,1),(102,1),(103,1),(105,1),(125,1),(126,1),(127,1),(137,1)}
       116:{2,3,5,6}:{(103,1),(106,1),(126,1),(127,1),(138,1)}
       117:{1,2,5,7}:{(104,1),(107,1),(121,1),(125,1),(128,1)}
       118:{3,5,7}:{(105,1),(108,1),(122,1),(126,1),(129,1),(138,1)}
       119:{2,4,7}:{(106,1),(123,1),(127,1),(129,1)}
       120:{1,3,7}:{(107,1),(108,1),(124,1)}
       121:{1,2,5}:{(109,1),(112,1),(130,1),(139,1)}
       122:{3,5}:{(110,1),(113,1),(131,1)}
       123:{2,4}:{(111,1),(131,1)}
       124:{1,3,6}:{(112,1),(113,1),(120,1),(130,1)}
       125:{1,2,6}:{(114,1),(117,1),(132,1)}
       126:{3,6}:{(115,1),(118,1)}
       127:{2,4,6}:{(116,1),(119,1),(133,1),(134,1)}
       128:{1,3,5,7}:{(117,1),(118,1),(120,1),(130,1),(132,1),(135,1),(139,1)}
       129:{3,4,7}:{(118,1),(119,1),(131,1),(133,1),(135,1)}
       130:{1,3,5}:{(121,1),(122,1),(124,1),(136,1)}
       131:{3,4}:{(122,1),(123,1),(136,1)}
       132:{1,3,6}:{(125,1),(126,1),(128,1),(137,1)}
       133:{3,4,6}:{(126,1),(127,1),(129,1),(137,1),(138,1)}
       134:{2,4,5}:{(127,1),(138,1)}
       135:{1,4,7}:{(128,1),(129,1),(136,1),(137,1)}
       136:{1,4}:{(130,1),(131,1)}
       137:{1,4,6}:{(132,1),(133,1),(135,1),(139,1)}
       138:{3,5}:{(133,1),(134,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

 882 :   0:{2,3,5,6,7}:{(1,1),(2,1),(10,1),(11,1),(28,1),(35,1),(108,1)}
         1:{1,2,5,6,7}:{(0,1),(3,1),(4,1),(22,1),(46,1),(50,1),(54,1),(88,1)}
         2:{2,4,6,7}:{(0,1),(5,1),(6,1),(45,1),(53,1),(124,1)}
         3:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(30,1),(34,1),(64,1),(66,1)}
         4:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(10,1),(12,1),(32,1),(36,1),(63,1),(74,1),(107,1)}
         5:{2,4,5,7}:{(2,1),(7,1),(11,1),(133,1)}
         6:{3,4,6,7}:{(2,1),(10,1),(11,1),(12,1),(26,1),(33,1),(132,1)}
         7:{2,4,5,6}:{(5,1),(15,1),(45,1)}
         8:{1,4,6,7}:{(3,1),(16,1),(17,1),(52,1),(85,1),(86,1)}
         9:{1,2,4,5,7}:{(4,1),(5,1),(14,1),(16,1),(18,1),(22,1),(50,1),(52,1),(53,1),(54,1)}
        10:{3,6,7}:{(4,1),(18,1),(84,1),(94,1),(123,1)}
        11:{3,5,7}:{(5,1),(6,1),(15,1),(22,1),(138,1)}
        12:{1,4,6,7}:{(6,1),(19,1),(22,1),(44,1),(52,1),(137,1)}
        13:{2,3,4,6,7}:{(6,1),(20,1),(23,1),(24,1),(45,1),(53,1),(81,1),(84,1),(94,1),(96,1),(120,1)}
        14:{1,2,4,5,6}:{(7,1),(9,1),(25,1),(27,1),(29,1),(59,1),(60,1),(61,1),(63,1),(67,1),(99,1),(105,1),(107,1),(130,1),(133,1),(139,1)}
        15:{3,5,6}:{(7,1),(11,1),(26,1),(27,1)}
        16:{1,4,5,7}:{(8,1),(29,1),(30,1),(105,1)}
        17:{3,4,6,7}:{(8,1),(10,1),(30,1),(32,1),(33,1),(65,1),(104,1)}
        18:{3,5,7}:{(9,1),(10,1),(25,1),(33,1)}
        19:{1,3,6,7}:{(10,1),(12,1),(34,1),(36,1),(62,1),(131,1)}
        20:{2,3,6,7}:{(10,1),(32,1),(35,1),(36,1),(103,1),(106,1)}
        21:{3,4,5,7}:{(11,1),(26,1),(33,1),(37,1),(38,1),(58,1),(76,1)}
        22:{1,5,7}:{(11,1),(12,1),(27,1),(139,1)}
        23:{2,3,5,7}:{(11,1),(13,1),(28,1),(38,1),(39,1),(76,1),(98,1),(130,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(36,1),(39,1),(40,1),(63,1),(74,1),(77,1),(101,1)}
        25:{3,5,6}:{(14,1),(18,1),(41,1),(84,1),(117,1),(121,1),(123,1),(138,1)}
        26:{3,4,6}:{(15,1),(21,1),(44,1),(45,1),(84,1)}
        27:{1,5,6}:{(15,1),(22,1),(44,1)}
        28:{2,3,5,6}:{(15,1),(23,1),(45,1),(46,1),(84,1)}
        29:{1,4,5,6}:{(16,1),(47,1),(86,1)}
        30:{3,5,7}:{(16,1),(17,1),(47,1),(50,1),(121,1)}
        31:{1,3,4,6,7}:{(17,1),(19,1),(49,1),(51,1),(52,1),(80,1),(86,1),(94,1),(123,1),(126,1),(137,1)}
        32:{2,4,6,7}:{(17,1),(20,1),(50,1),(53,1),(87,1),(120,1)}
        33:{3,4,7}:{(18,1),(41,1),(52,1),(53,1),(94,1)}
        34:{1,3,5,7}:{(18,1),(19,1),(22,1),(42,1),(52,1),(54,1),(94,1)}
        35:{2,3,5,7}:{(18,1),(20,1),(43,1),(50,1),(53,1),(54,1),(94,1)}
        36:{1,2,6,7}:{(19,1),(20,1),(54,1),(83,1),(122,1)}
        37:{1,4,5,7}:{(21,1),(22,1),(44,1),(52,1),(55,1),(78,1)}
        38:{2,4,5,7}:{(21,1),(23,1),(45,1),(53,1),(79,1)}
        39:{1,2,5,7}:{(22,1),(23,1),(24,1),(46,1),(57,1),(116,1)}
        40:{1,3,6,7}:{(24,1),(57,1),(84,1),(94,1),(119,1)}
        41:{3,4,6}:{(25,1),(33,1),(58,1),(59,1),(60,1),(102,1),(129,1)}
        42:{1,3,5,6}:{(25,1),(27,1),(34,1),(59,1),(61,1),(62,1),(97,1),(102,1),(128,1),(131,1),(139,1)}
        43:{2,3,5,6}:{(25,1),(35,1),(60,1),(61,1),(67,1),(98,1),(102,1),(103,1),(106,1),(127,1),(130,1)}
        44:{1,4,6}:{(26,1),(27,1),(37,1),(62,1)}
        45:{2,4,6}:{(26,1),(28,1),(38,1)}
        46:{1,2,5,6}:{(27,1),(28,1),(39,1),(63,1),(64,1),(130,1)}
        47:{3,5,6}:{(29,1),(30,1),(65,1),(67,1)}
        48:{3,4,5,7}:{(30,1),(33,1),(58,1),(65,1),(68,1),(69,1),(110,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(66,1),(68,1),(70,1),(97,1),(110,1),(139,1)}
        50:{2,5,7}:{(30,1),(32,1),(67,1),(130,1)}
        51:{1,2,4,6,7}:{(31,1),(32,1),(36,1),(70,1),(71,1),(74,1),(100,1),(107,1),(111,1)}
        52:{1,4,7}:{(33,1),(34,1),(59,1)}
        53:{2,4,7}:{(33,1),(35,1),(60,1)}
        54:{1,2,5,7}:{(34,1),(35,1),(36,1),(61,1),(74,1)}
        55:{1,3,5,7}:{(37,1),(62,1),(72,1),(75,1),(76,1),(97,1)}
        56:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(63,1),(74,1),(75,1),(76,1),(77,1),(99,1),(105,1),(114,1),(130,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(64,1),(76,1),(77,1),(128,1)}
        58:{3,4,5}:{(41,1),(78,1),(79,1),(117,1),(121,1),(138,1)}
        59:{1,4,6}:{(41,1),(42,1),(52,1),(78,1),(136,1)}
        60:{2,4,6}:{(41,1),(43,1),(53,1),(79,1),(135,1)}
        61:{1,2,5,6}:{(42,1),(43,1),(54,1),(82,1),(83,1),(115,1),(116,1),(122,1)}
        62:{1,3,6}:{(44,1),(55,1),(83,1),(84,1)}
        63:{1,2,4,6}:{(44,1),(45,1),(46,1),(56,1),(83,1),(84,1),(85,1),(120,1)}
        64:{1,3,5,6}:{(46,1),(57,1),(84,1),(85,1),(121,1)}
        65:{3,4,6}:{(47,1),(48,1),(86,1),(87,1),(123,1)}
        66:{1,3,5,6}:{(47,1),(49,1),(86,1),(88,1),(123,1)}
        67:{2,5,6}:{(47,1),(50,1),(87,1)}
        68:{1,4,5,7}:{(48,1),(49,1),(52,1),(78,1),(86,1)}
        69:{2,4,5,7}:{(48,1),(50,1),(53,1),(79,1),(87,1),(89,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(51,1),(88,1),(91,1),(115,1)}
        71:{2,3,6,7}:{(51,1),(91,1),(94,1),(118,1),(123,1)}
        72:{1,3,4,7}:{(52,1),(55,1),(80,1),(92,1),(94,1),(96,1)}
        73:{2,3,4,7}:{(53,1),(81,1),(89,1),(93,1),(94,1),(126,1)}
        74:{1,2,4,7}:{(52,1),(53,1),(54,1),(82,1),(94,1)}
        75:{1,2,5,7}:{(55,1),(83,1),(92,1),(95,1),(115,1)}
        76:{3,5,7}:{(56,1),(84,1),(94,1),(96,1),(117,1),(121,1)}
        77:{1,4,7}:{(57,1),(85,1),(96,1),(136,1)}
        78:{1,4,5}:{(58,1),(59,1),(97,1),(139,1)}
        79:{2,4,5}:{(58,1),(60,1),(98,1),(130,1)}
        80:{1,3,4,6}:{(59,1),(62,1),(72,1),(97,1),(100,1),(102,1),(104,1),(129,1)}
        81:{2,3,4,6}:{(60,1),(73,1),(98,1),(101,1),(102,1),(106,1),(129,1),(132,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(61,1),(74,1),(99,1),(102,1)}
        83:{1,2,6}:{(62,1),(75,1),(103,1)}
        84:{3,6}:{(63,1),(76,1)}
        85:{1,4,6}:{(64,1),(77,1),(104,1),(105,1)}
        86:{1,4,6}:{(65,1),(66,1),(68,1)}
        87:{2,4,6}:{(65,1),(67,1),(69,1),(106,1)}
        88:{1,2,5,6}:{(66,1),(67,1),(70,1),(107,1),(108,1),(139,1)}
        89:{2,3,5,7}:{(69,1),(73,1),(98,1),(106,1),(109,1),(110,1)}
        90:{1,2,4,5,7}:{(68,1),(69,1),(70,1),(74,1),(99,1),(107,1),(109,1),(110,1),(111,1),(133,1),(134,1),(139,1)}
        91:{2,3,5,7}:{(70,1),(71,1),(108,1),(110,1),(111,1),(127,1)}
        92:{1,2,4,7}:{(72,1),(75,1),(100,1),(112,1),(114,1)}
        93:{1,2,4,7}:{(73,1),(101,1),(109,1),(113,1),(134,1)}
        94:{3,7}:{(74,1),(102,1)}
        95:{2,3,5,7}:{(75,1),(76,1),(103,1),(112,1),(114,1),(127,1),(130,1)}
        96:{3,4,7}:{(76,1),(77,1),(104,1),(114,1),(129,1)}
        97:{1,3,5}:{(78,1),(80,1),(115,1),(117,1),(121,1)}
        98:{2,3,5}:{(79,1),(81,1),(116,1),(117,1),(138,1)}
        99:{1,2,4,5}:{(78,1),(79,1),(82,1),(115,1),(116,1),(117,1),(135,1),(136,1)}
       100:{1,2,4,6}:{(80,1),(83,1),(92,1),(115,1),(118,1),(120,1),(135,1)}
       101:{1,2,4,6}:{(81,1),(93,1),(116,1),(119,1),(122,1),(136,1),(137,1)}
       102:{3,6}:{(82,1),(94,1),(117,1)}
       103:{2,3,6}:{(83,1),(84,1),(95,1),(120,1)}
       104:{3,4,6}:{(84,1),(85,1),(96,1),(120,1),(121,1)}
       105:{1,4,5}:{(85,1),(121,1)}
       106:{2,3,6}:{(87,1),(89,1),(122,1),(123,1)}
       107:{1,2,4,6}:{(86,1),(87,1),(88,1),(90,1),(122,1),(123,1),(124,1),(137,1)}
       108:{2,3,5,6}:{(88,1),(91,1),(123,1),(124,1),(138,1)}
       109:{1,2,5,7}:{(89,1),(93,1),(116,1),(122,1),(125,1)}
       110:{3,5,7}:{(90,1),(94,1),(117,1),(123,1),(126,1),(138,1)}
       111:{2,4,7}:{(91,1),(124,1),(126,1),(135,1)}
       112:{2,3,7}:{(92,1),(94,1),(118,1)}
       113:{1,3,7}:{(93,1),(94,1),(119,1)}
       114:{2,4,7}:{(95,1),(96,1),(120,1),(135,1)}
       115:{1,2,5}:{(97,1),(100,1),(127,1),(130,1)}
       116:{1,2,5}:{(98,1),(101,1),(128,1),(139,1)}
       117:{3,5}:{(99,1),(102,1),(129,1)}
       118:{2,3,6}:{(100,1),(102,1),(112,1),(127,1)}
       119:{1,3,6}:{(101,1),(102,1),(113,1),(128,1)}
       120:{2,4,6}:{(103,1),(104,1),(114,1),(130,1)}
       121:{3,5}:{(104,1),(105,1),(130,1)}
       122:{1,2,6}:{(106,1),(109,1),(131,1)}
       123:{3,6}:{(107,1),(110,1)}
       124:{2,4,6}:{(108,1),(111,1),(132,1),(133,1)}
       125:{1,3,5,7}:{(109,1),(110,1),(113,1),(128,1),(131,1),(134,1),(139,1)}
       126:{3,4,7}:{(110,1),(111,1),(129,1),(132,1),(134,1)}
       127:{2,3,5}:{(115,1),(117,1),(118,1),(135,1)}
       128:{1,3,5}:{(116,1),(117,1),(119,1),(136,1)}
       129:{3,4}:{(117,1),(135,1),(136,1)}
       130:{2,5}:{(120,1),(121,1)}
       131:{1,3,6}:{(122,1),(123,1),(125,1),(137,1)}
       132:{3,4,6}:{(123,1),(124,1),(126,1),(137,1),(138,1)}
       133:{2,4,5}:{(124,1),(138,1)}
       134:{1,4,7}:{(125,1),(126,1),(136,1),(137,1)}
       135:{2,4}:{(127,1),(129,1)}
       136:{1,4}:{(128,1),(129,1)}
       137:{1,4,6}:{(131,1),(132,1),(134,1),(139,1)}
       138:{3,5}:{(132,1),(133,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

 883 :   0:{2,4,5,6,7}:{(1,1),(7,1),(177,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(193,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(175,1)}
         3:{1,5,6,7}:{(1,1),(6,1),(203,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(19,1),(23,1),(133,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(12,1),(190,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(156,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(15,1),(31,1),(65,1),(108,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(41,1),(167,1),(175,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,6,7}:{(6,1),(18,1),(21,1),(23,1),(171,1)}
        13:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(23,1),(38,1),(46,1),(48,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(21,1),(23,1),(24,1),(48,1),(129,1)}
        15:{1,3,5,6,7}:{(8,1),(23,1),(24,1),(45,1),(50,1),(87,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(25,1),(182,1),(190,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(26,1),(156,1),(185,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(25,1),(28,1),(30,1),(32,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(26,1),(31,1),(32,1),(65,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(32,1),(36,1),(61,1),(62,1),(65,1)}
        21:{1,2,6,7}:{(12,1),(30,1),(33,1),(148,1)}
        22:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(54,1),(62,1)}
        23:{3,6,7}:{(14,1),(32,1),(154,1)}
        24:{1,4,6,7}:{(15,1),(35,1),(36,1),(62,1),(105,1)}
        25:{1,3,5,6}:{(16,1),(18,1),(37,1),(39,1),(41,1),(161,1),(171,1)}
        26:{2,3,5,6}:{(17,1),(19,1),(38,1),(40,1),(41,1),(86,1),(164,1)}
        27:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(39,1),(40,1),(41,1),(51,1),(73,1),(74,1),(86,1),(118,1),(129,1)}
        28:{1,3,4,7}:{(18,1),(37,1),(42,1),(46,1)}
        29:{2,3,4,5,7}:{(19,1),(38,1),(43,1),(46,1),(75,1),(81,1),(125,1),(128,1),(132,1),(164,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(39,1),(42,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(40,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(41,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(48,1),(124,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(71,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(48,1),(50,1),(83,1)}
        36:{1,4,5,7}:{(24,1),(50,1),(51,1)}
        37:{1,3,4,6}:{(25,1),(28,1),(52,1),(53,1),(57,1)}
        38:{2,3,4,6}:{(26,1),(29,1),(54,1),(57,1),(104,1),(154,1),(156,1)}
        39:{1,2,5,6}:{(25,1),(30,1),(53,1),(55,1),(138,1),(148,1)}
        40:{1,2,5,6}:{(26,1),(31,1),(54,1),(56,1),(141,1)}
        41:{3,5,6}:{(27,1),(32,1),(57,1),(143,1),(154,1)}
        42:{1,2,4,7}:{(28,1),(30,1),(53,1),(58,1),(61,1)}
        43:{1,2,4,5,7}:{(29,1),(31,1),(54,1),(59,1),(62,1),(96,1),(100,1),(141,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(55,1),(58,1),(61,1),(65,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(56,1),(62,1)}
        46:{3,4,7}:{(32,1),(57,1),(61,1),(62,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(60,1),(64,1),(92,1),(148,1),(154,1),(191,1),(192,1)}
        48:{2,4,6,7}:{(33,1),(35,1),(61,1),(65,1),(104,1)}
        49:{1,3,4,6,7}:{(34,1),(35,1),(62,1),(64,1),(66,1),(93,1),(102,1),(105,1),(154,1)}
        50:{3,5,7}:{(35,1),(36,1),(65,1),(67,1)}
        51:{1,4,5,6}:{(36,1),(67,1),(105,1)}
        52:{1,3,4,5}:{(37,1),(69,1),(75,1),(158,1),(161,1)}
        53:{1,2,4,6}:{(37,1),(39,1),(42,1),(69,1),(70,1),(73,1)}
        54:{1,2,4,6}:{(38,1),(40,1),(43,1),(71,1),(74,1)}
        55:{2,3,5,6}:{(39,1),(41,1),(44,1),(70,1),(73,1),(86,1),(114,1),(124,1)}
        56:{1,3,5,6}:{(40,1),(41,1),(45,1),(71,1),(74,1),(116,1)}
        57:{3,4,6}:{(41,1),(46,1),(73,1),(74,1),(75,1)}
        58:{2,3,7}:{(42,1),(70,1)}
        59:{1,3,5,7}:{(43,1),(71,1),(79,1),(116,1),(128,1)}
        60:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(72,1),(76,1),(80,1),(85,1),(123,1),(128,1),(199,1),(201,1)}
        61:{2,4,7}:{(44,1),(46,1),(73,1)}
        62:{1,4,7}:{(45,1),(46,1),(74,1)}
        63:{3,4,5,7}:{(46,1),(50,1),(75,1),(81,1),(82,1),(83,1),(128,1)}
        64:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(80,1),(84,1),(85,1),(115,1),(129,1),(204,1)}
        65:{2,5,7}:{(48,1),(50,1),(86,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(82,1),(85,1),(87,1),(116,1),(128,1)}
        67:{3,5,6}:{(50,1),(51,1),(83,1),(86,1)}
        68:{1,4,5,6,7}:{(51,1),(88,1),(131,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(89,1),(95,1),(135,1),(138,1)}
        70:{2,3,6}:{(53,1),(58,1),(89,1)}
        71:{1,3,6}:{(54,1),(59,1),(154,1)}
        72:{1,2,3,5,6}:{(55,1),(56,1),(60,1),(90,1),(92,1),(94,1),(108,1),(138,1),(141,1),(143,1),(148,1),(154,1),(183,1),(186,1)}
        73:{2,4,6}:{(55,1),(57,1),(61,1),(95,1)}
        74:{1,4,6}:{(56,1),(57,1),(62,1),(96,1)}
        75:{3,4,5}:{(57,1),(95,1),(96,1),(143,1)}
        76:{1,2,3,7}:{(58,1),(90,1),(98,1),(206,1)}
        77:{2,3,4,7}:{(58,1),(61,1),(91,1),(98,1),(99,1),(102,1)}
        78:{1,2,3,5,7}:{(59,1),(92,1),(100,1),(141,1),(150,1)}
        79:{1,3,4,7}:{(59,1),(62,1),(93,1),(100,1),(102,1)}
        80:{1,2,4,7}:{(60,1),(61,1),(62,1),(94,1),(102,1),(207,1),(208,1)}
        81:{2,4,5,7}:{(61,1),(63,1),(65,1),(95,1),(99,1),(104,1)}
        82:{1,4,5,7}:{(62,1),(63,1),(66,1),(96,1),(105,1)}
        83:{3,4,6}:{(63,1),(67,1),(104,1),(105,1),(154,1)}
        84:{2,3,4,6,7}:{(64,1),(102,1),(107,1),(140,1),(154,1),(156,1),(192,1),(194,1),(208,1)}
        85:{1,2,5,7}:{(64,1),(65,1),(66,1),(107,1),(108,1),(141,1),(209,1)}
        86:{2,5,6}:{(65,1),(67,1),(104,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(105,1),(108,1),(154,1)}
        88:{3,5,6,7}:{(67,1),(68,1),(106,1),(109,1)}
        89:{2,3,5}:{(69,1),(70,1),(112,1)}
        90:{1,2,3,6}:{(70,1),(76,1),(111,1),(113,1),(196,1)}
        91:{2,3,4,6}:{(70,1),(73,1),(77,1),(112,1),(113,1),(114,1),(117,1),(124,1)}
        92:{1,2,3,6}:{(71,1),(78,1),(115,1),(173,1)}
        93:{1,3,4,6}:{(71,1),(74,1),(79,1),(115,1),(116,1),(117,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(80,1),(117,1),(118,1),(198,1),(200,1)}
        95:{2,4,5}:{(73,1),(75,1),(114,1)}
        96:{1,4,5}:{(74,1),(75,1),(116,1)}
        97:{3,4,5,6}:{(75,1),(83,1),(119,1),(120,1),(121,1),(168,1)}
        98:{1,2,4,7}:{(76,1),(77,1),(113,1),(122,1),(123,1)}
        99:{2,3,5,7}:{(77,1),(81,1),(114,1),(123,1),(124,1),(128,1)}
       100:{1,2,4,7}:{(78,1),(79,1),(115,1),(125,1)}
       101:{1,3,4,5,7}:{(79,1),(82,1),(116,1),(126,1),(127,1),(128,1),(166,1),(167,1),(170,1),(202,1)}
       102:{3,4,7}:{(80,1),(117,1),(128,1)}
       103:{1,2,4,5,7}:{(80,1),(81,1),(82,1),(85,1),(118,1),(123,1),(128,1),(129,1),(132,1),(170,1)}
       104:{2,4,6}:{(81,1),(83,1),(86,1),(124,1)}
       105:{1,4,6}:{(82,1),(83,1),(87,1)}
       106:{3,4,6,7}:{(83,1),(88,1),(121,1),(130,1),(131,1),(176,1)}
       107:{2,3,5,7}:{(84,1),(85,1),(128,1),(132,1),(133,1),(164,1),(205,1)}
       108:{1,2,5,6}:{(85,1),(86,1),(87,1),(129,1),(133,1),(203,1)}
       109:{2,5,6,7}:{(86,1),(88,1),(130,1)}
       110:{1,3,5,6,7}:{(87,1),(88,1),(131,1),(134,1),(166,1),(176,1)}
       111:{1,2,3,5}:{(89,1),(90,1),(135,1),(138,1),(179,1)}
       112:{2,3,4}:{(89,1),(135,1)}
       113:{1,2,4,6}:{(90,1),(91,1),(98,1),(135,1),(137,1),(138,1),(148,1)}
       114:{2,3,5}:{(91,1),(95,1),(138,1),(143,1)}
       115:{1,2,4,6}:{(92,1),(93,1),(100,1),(140,1),(141,1)}
       116:{1,3,5}:{(93,1),(96,1),(141,1),(143,1)}
       117:{3,4,6}:{(94,1),(102,1),(143,1),(154,1)}
       118:{1,2,4,5}:{(94,1),(95,1),(96,1),(138,1),(141,1),(143,1),(182,1),(185,1)}
       119:{2,4,5,6}:{(95,1),(97,1),(104,1),(139,1),(145,1)}
       120:{1,4,5,6}:{(96,1),(97,1),(105,1),(142,1),(146,1)}
       121:{3,4,5,7}:{(97,1),(106,1),(145,1),(146,1),(189,1)}
       122:{1,3,4,7}:{(98,1),(102,1),(137,1),(147,1),(206,1),(207,1)}
       123:{1,2,5,7}:{(98,1),(99,1),(138,1),(147,1),(148,1)}
       124:{2,3,6}:{(99,1),(104,1),(148,1),(154,1)}
       125:{2,3,4,7}:{(100,1),(102,1),(140,1),(150,1),(208,1)}
       126:{1,2,4,5,7}:{(100,1),(101,1),(141,1),(150,1),(151,1),(185,1),(187,1),(208,1)}
       127:{1,3,4,6}:{(101,1),(105,1),(142,1),(151,1),(154,1),(188,1),(190,1)}
       128:{3,5,7}:{(102,1),(103,1),(143,1),(154,1)}
       129:{1,2,4,6}:{(103,1),(104,1),(105,1),(108,1),(148,1),(154,1),(156,1),(190,1)}
       130:{2,4,6,7}:{(104,1),(106,1),(109,1),(145,1),(149,1)}
       131:{1,4,6,7}:{(105,1),(106,1),(110,1),(146,1)}
       132:{2,4,5,7}:{(107,1),(153,1),(156,1),(185,1),(208,1)}
       133:{2,3,5,6}:{(107,1),(108,1),(154,1),(156,1),(193,1)}
       134:{1,2,5,6,7}:{(108,1),(109,1),(110,1),(155,1),(157,1),(187,1),(209,1)}
       135:{1,2,4}:{(111,1),(112,1),(158,1)}
       136:{2,3,4,5}:{(112,1),(114,1),(159,1),(160,1),(167,1)}
       137:{1,3,4,6}:{(113,1),(117,1),(122,1),(158,1),(161,1),(171,1),(196,1),(198,1)}
       138:{1,2,5}:{(113,1),(114,1),(161,1)}
       139:{2,3,5,6}:{(114,1),(119,1),(124,1),(160,1),(162,1),(163,1),(168,1)}
       140:{2,3,4,6}:{(115,1),(117,1),(125,1),(164,1),(173,1),(200,1)}
       141:{1,2,5}:{(115,1),(116,1),(164,1)}
       142:{1,3,5,6}:{(116,1),(120,1),(127,1),(165,1),(166,1),(168,1),(203,1)}
       143:{3,5}:{(117,1),(118,1)}
       144:{1,2,4,5,6}:{(118,1),(119,1),(120,1),(129,1),(162,1),(165,1),(168,1),(169,1),(177,1),(198,1),(200,1),(203,1)}
       145:{2,4,5,7}:{(119,1),(121,1),(130,1),(163,1)}
       146:{1,4,5,7}:{(120,1),(121,1),(131,1),(166,1)}
       147:{1,3,5,7}:{(122,1),(123,1),(128,1),(161,1),(170,1),(171,1)}
       148:{1,2,6}:{(123,1),(124,1),(171,1)}
       149:{2,3,6,7}:{(124,1),(130,1),(163,1),(172,1),(176,1)}
       150:{2,3,5,7}:{(125,1),(126,1),(128,1),(164,1),(173,1)}
       151:{1,2,4,6}:{(126,1),(127,1),(165,1),(173,1),(200,1)}
       152:{1,3,4,6,7}:{(127,1),(131,1),(166,1),(174,1),(176,1),(202,1),(204,1)}
       153:{3,4,5,7}:{(128,1),(132,1),(167,1),(170,1),(175,1),(202,1),(205,1)}
       154:{3,6}:{(128,1),(129,1)}
       155:{1,2,4,6,7}:{(129,1),(130,1),(131,1),(134,1),(169,1),(172,1),(176,1),(178,1),(204,1)}
       156:{2,4,6}:{(132,1),(133,1),(175,1)}
       157:{2,3,5,6,7}:{(133,1),(134,1),(176,1),(178,1),(201,1),(205,1)}
       158:{1,3,4}:{(135,1),(179,1)}
       159:{1,2,4,5}:{(135,1),(136,1),(138,1),(179,1),(180,1),(182,1)}
       160:{2,3,4,6}:{(136,1),(139,1),(180,1),(181,1),(188,1)}
       161:{1,3,5}:{(137,1),(138,1),(143,1),(182,1)}
       162:{1,2,5,6}:{(138,1),(139,1),(148,1),(180,1),(183,1),(184,1)}
       163:{2,3,5,7}:{(139,1),(145,1),(149,1),(181,1),(184,1),(189,1)}
       164:{2,3,5}:{(140,1),(141,1),(143,1),(185,1)}
       165:{1,2,5,6}:{(141,1),(142,1),(151,1),(186,1),(187,1)}
       166:{1,3,5,7}:{(142,1),(146,1),(152,1),(187,1),(189,1),(209,1)}
       167:{3,4,5}:{(143,1),(182,1),(185,1),(188,1)}
       168:{3,5,6}:{(143,1),(144,1),(154,1),(188,1),(189,1)}
       169:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(155,1),(184,1),(187,1),(189,1),(195,1),(207,1),(208,1),(209,1)}
       170:{1,4,5,7}:{(147,1),(153,1),(182,1),(190,1),(207,1),(209,1)}
       171:{1,3,6}:{(147,1),(148,1),(154,1),(190,1)}
       172:{1,2,6,7}:{(148,1),(149,1),(184,1),(191,1)}
       173:{2,3,6}:{(150,1),(151,1),(154,1)}
       174:{1,2,4,6,7}:{(151,1),(152,1),(187,1),(192,1),(208,1)}
       175:{3,4,6}:{(153,1),(154,1),(156,1),(190,1),(193,1)}
       176:{3,6,7}:{(154,1),(155,1),(189,1)}
       177:{2,4,5,6}:{(156,1),(193,1),(195,1)}
       178:{2,4,6,7}:{(156,1),(157,1),(194,1),(195,1),(208,1)}
       179:{1,3,5}:{(158,1),(159,1),(196,1)}
       180:{1,2,4,6}:{(159,1),(160,1),(162,1),(196,1),(197,1),(198,1)}
       181:{2,3,4,7}:{(160,1),(163,1),(197,1),(202,1)}
       182:{1,4,5}:{(161,1),(167,1),(198,1)}
       183:{1,3,5,6}:{(161,1),(162,1),(168,1),(171,1),(196,1),(198,1),(199,1),(203,1)}
       184:{1,2,5,7}:{(162,1),(163,1),(172,1),(197,1),(199,1)}
       185:{2,4,5}:{(164,1),(167,1),(200,1)}
       186:{2,3,5,6}:{(164,1),(165,1),(168,1),(173,1),(200,1),(201,1)}
       187:{1,2,5,7}:{(165,1),(166,1),(174,1),(201,1)}
       188:{3,4,6}:{(167,1),(168,1),(198,1),(200,1),(202,1)}
       189:{3,5,7}:{(168,1),(169,1),(176,1),(202,1)}
       190:{1,4,6}:{(170,1),(171,1),(175,1),(203,1)}
       191:{1,3,6,7}:{(171,1),(172,1),(176,1),(199,1),(204,1)}
       192:{2,3,6,7}:{(173,1),(174,1),(176,1),(201,1)}
       193:{3,5,6}:{(175,1),(177,1),(203,1),(205,1)}
       194:{3,4,6,7}:{(175,1),(176,1),(178,1),(202,1),(204,1),(205,1)}
       195:{2,4,5,7}:{(177,1),(178,1),(205,1)}
       196:{1,3,6}:{(179,1),(180,1),(206,1)}
       197:{1,2,4,7}:{(180,1),(181,1),(184,1),(206,1),(207,1)}
       198:{1,4,6}:{(182,1),(183,1),(188,1),(207,1)}
       199:{1,3,5,7}:{(183,1),(184,1),(189,1),(191,1),(206,1),(207,1),(209,1)}
       200:{2,4,6}:{(185,1),(186,1),(188,1),(208,1)}
       201:{2,3,5,7}:{(186,1),(187,1),(189,1),(192,1),(208,1)}
       202:{3,4,7}:{(188,1),(189,1),(207,1),(208,1)}
       203:{1,5,6}:{(190,1),(193,1),(209,1)}
       204:{1,4,6,7}:{(190,1),(191,1),(194,1),(207,1),(209,1)}
       205:{3,5,7}:{(193,1),(194,1),(195,1),(209,1)}
       206:{1,3,7}:{(196,1),(197,1)}
       207:{1,4,7}:{(198,1),(199,1),(202,1)}
       208:{2,4,7}:{(200,1),(201,1),(202,1)}
       209:{1,5,7}:{(203,1),(204,1),(205,1)}

 884 :   0:{3,4,5,7}:{(3,1),(4,1),(5,1),(29,1),(30,1),(67,1),(76,1),(121,1),(132,1),(143,1),(146,1)}
         1:{2,3,4,7}:{(6,1),(7,1),(8,1),(54,1),(90,1),(149,1),(167,1),(194,1)}
         2:{1,3,4,7}:{(9,1),(10,1),(11,1),(54,1),(100,1),(155,1),(160,1),(200,1)}
         3:{1,4,5,7}:{(0,1),(9,1),(14,1),(48,1),(51,1),(97,1),(100,1),(150,1)}
         4:{2,4,5,7}:{(0,1),(6,1),(15,1),(41,1),(52,1),(90,1),(107,1),(161,1)}
         5:{3,4,6}:{(0,1),(14,1),(15,1),(16,1),(55,1),(115,1)}
         6:{2,3,5,7}:{(1,1),(4,1),(17,1),(18,1),(21,1),(30,1),(139,1),(186,1),(205,1)}
         7:{1,2,4,7}:{(1,1),(17,1),(19,1),(20,1),(61,1),(190,1)}
         8:{2,3,4,6}:{(1,1),(18,1),(20,1),(21,1),(64,1),(84,1),(124,1),(126,1),(179,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(22,1),(23,1),(26,1),(30,1),(127,1),(176,1),(207,1)}
        10:{1,2,4,7}:{(2,1),(22,1),(24,1),(25,1),(70,1),(181,1)}
        11:{1,3,4,6}:{(2,1),(23,1),(25,1),(26,1),(73,1),(84,1),(135,1),(137,1),(188,1)}
        12:{3,4,6,7}:{(5,1),(27,1),(28,1),(29,1),(79,1),(80,1),(121,1),(132,1),(140,1),(141,1),(143,1)}
        13:{1,2,4,5,7}:{(3,1),(4,1),(17,1),(22,1),(30,1),(31,1),(61,1),(66,1),(70,1),(75,1),(81,1),(120,1),(122,1),(131,1),(133,1),(143,1),(146,1),(174,1),(183,1),(205,1),(207,1)}
        14:{1,4,6}:{(3,1),(5,1),(23,1),(32,1)}
        15:{2,4,6}:{(4,1),(5,1),(18,1),(33,1)}
        16:{3,5,6}:{(5,1),(29,1),(32,1),(33,1),(34,1)}
        17:{1,2,5,7}:{(6,1),(7,1),(36,1),(37,1),(40,1),(168,1),(201,1)}
        18:{2,3,6}:{(6,1),(15,1),(37,1),(55,1),(208,1)}
        19:{1,3,7}:{(7,1),(39,1),(149,1),(203,1)}
        20:{1,2,4,6}:{(7,1),(8,1),(37,1),(39,1),(40,1),(91,1),(95,1)}
        21:{2,3,5}:{(8,1),(40,1),(41,1),(96,1),(114,1),(196,1)}
        22:{1,2,5,7}:{(9,1),(10,1),(43,1),(44,1),(47,1),(157,1),(195,1)}
        23:{1,3,6}:{(9,1),(14,1),(44,1),(55,1),(209,1)}
        24:{2,3,7}:{(10,1),(46,1),(160,1),(197,1)}
        25:{1,2,4,6}:{(10,1),(11,1),(44,1),(46,1),(47,1),(101,1),(105,1)}
        26:{1,3,5}:{(11,1),(47,1),(48,1),(106,1),(114,1),(202,1)}
        27:{1,4,6,7}:{(12,1),(14,1),(42,1),(51,1),(100,1),(150,1),(170,1)}
        28:{2,4,6,7}:{(12,1),(15,1),(35,1),(52,1),(90,1),(161,1),(169,1)}
        29:{3,5,7}:{(12,1),(16,1),(51,1),(52,1),(53,1)}
        30:{3,5,7}:{(13,1),(54,1),(55,1),(96,1),(106,1),(114,1),(149,1),(160,1)}
        31:{1,2,4,6}:{(13,1),(14,1),(15,1),(37,1),(44,1),(55,1),(56,1),(91,1),(101,1),(115,1),(192,1),(198,1),(208,1),(209,1)}
        32:{1,5,6}:{(14,1),(16,1),(51,1)}
        33:{2,5,6}:{(15,1),(16,1),(52,1)}
        34:{4,5,6}:{(16,1),(53,1),(115,1)}
        35:{2,3,6,7}:{(18,1),(28,1),(59,1),(60,1),(80,1),(141,1),(186,1)}
        36:{1,3,5,7}:{(17,1),(19,1),(30,1),(61,1),(62,1),(65,1),(122,1),(138,1),(185,1),(207,1)}
        37:{1,2,6}:{(17,1),(18,1),(62,1)}
        38:{2,3,5,6}:{(18,1),(21,1),(33,1),(60,1),(63,1),(64,1),(85,1),(87,1),(124,1)}
        39:{1,3,6}:{(19,1),(20,1),(65,1),(124,1)}
        40:{1,2,5}:{(20,1),(21,1),(65,1),(122,1)}
        41:{2,4,5}:{(21,1),(64,1),(67,1),(146,1)}
        42:{1,3,6,7}:{(23,1),(27,1),(68,1),(69,1),(80,1),(140,1),(176,1)}
        43:{2,3,5,7}:{(22,1),(24,1),(30,1),(70,1),(71,1),(74,1),(128,1),(133,1),(177,1),(205,1)}
        44:{1,2,6}:{(22,1),(23,1),(71,1)}
        45:{1,3,5,6}:{(23,1),(26,1),(32,1),(69,1),(72,1),(73,1),(85,1),(86,1),(135,1)}
        46:{2,3,6}:{(24,1),(25,1),(74,1),(135,1)}
        47:{1,2,5}:{(25,1),(26,1),(74,1),(133,1)}
        48:{1,4,5}:{(26,1),(73,1),(76,1),(146,1)}
        49:{3,5,6,7}:{(29,1),(77,1),(78,1),(79,1),(140,1),(141,1)}
        50:{1,2,4,6,7}:{(27,1),(28,1),(31,1),(59,1),(68,1),(80,1),(81,1),(118,1),(120,1),(129,1),(131,1),(143,1)}
        51:{1,5,7}:{(27,1),(29,1),(32,1)}
        52:{2,5,7}:{(28,1),(29,1),(33,1)}
        53:{4,5,7}:{(29,1),(34,1),(79,1),(143,1)}
        54:{3,4,7}:{(30,1),(61,1),(70,1),(84,1),(126,1),(137,1),(143,1)}
        55:{3,6}:{(30,1),(31,1)}
        56:{1,2,5,6}:{(31,1),(32,1),(33,1),(81,1),(85,1),(122,1),(133,1),(173,1),(182,1)}
        57:{1,4,5,6}:{(32,1),(34,1),(73,1),(82,1),(86,1)}
        58:{2,4,5,6}:{(33,1),(34,1),(64,1),(83,1),(87,1)}
        59:{1,2,6,7}:{(35,1),(37,1),(88,1),(89,1),(170,1),(201,1),(208,1)}
        60:{2,3,5,7}:{(35,1),(38,1),(52,1),(89,1),(90,1),(111,1),(113,1),(149,1)}
        61:{1,4,7}:{(36,1),(54,1),(91,1),(95,1),(166,1)}
        62:{1,3,6}:{(36,1),(37,1),(55,1),(91,1),(209,1)}
        63:{1,2,5,6}:{(37,1),(38,1),(40,1),(89,1),(92,1),(93,1),(117,1),(196,1),(208,1)}
        64:{2,4,6}:{(38,1),(41,1),(90,1),(94,1),(115,1)}
        65:{1,3,5}:{(39,1),(40,1),(95,1),(96,1)}
        66:{1,2,4,5}:{(40,1),(41,1),(93,1),(95,1),(96,1),(97,1),(151,1),(156,1),(157,1),(196,1)}
        67:{3,4,5}:{(41,1),(94,1),(96,1),(97,1)}
        68:{1,2,6,7}:{(42,1),(44,1),(98,1),(99,1),(169,1),(195,1),(209,1)}
        69:{1,3,5,7}:{(42,1),(45,1),(51,1),(99,1),(100,1),(111,1),(112,1),(160,1)}
        70:{2,4,7}:{(43,1),(54,1),(101,1),(105,1),(156,1)}
        71:{2,3,6}:{(43,1),(44,1),(55,1),(101,1),(208,1)}
        72:{1,2,5,6}:{(44,1),(45,1),(47,1),(99,1),(102,1),(103,1),(116,1),(202,1),(209,1)}
        73:{1,4,6}:{(45,1),(48,1),(100,1),(104,1),(115,1)}
        74:{2,3,5}:{(46,1),(47,1),(105,1),(106,1)}
        75:{1,2,4,5}:{(47,1),(48,1),(103,1),(105,1),(106,1),(107,1),(162,1),(166,1),(168,1),(202,1)}
        76:{3,4,5}:{(48,1),(104,1),(106,1),(107,1)}
        77:{1,5,6,7}:{(49,1),(51,1),(108,1),(170,1)}
        78:{2,5,6,7}:{(49,1),(52,1),(109,1),(169,1)}
        79:{4,6,7}:{(49,1),(53,1)}
        80:{3,6,7}:{(50,1),(55,1),(111,1),(149,1),(160,1)}
        81:{1,2,5,7}:{(50,1),(51,1),(52,1),(56,1),(111,1),(147,1),(158,1)}
        82:{1,4,5,7}:{(51,1),(53,1),(57,1),(100,1),(108,1),(112,1)}
        83:{2,4,5,7}:{(52,1),(53,1),(58,1),(90,1),(109,1),(113,1)}
        84:{3,4,6}:{(54,1),(55,1),(91,1),(101,1),(114,1),(115,1)}
        85:{3,5,6}:{(55,1),(56,1),(111,1),(114,1),(115,1)}
        86:{3,5,6}:{(57,1),(104,1),(112,1),(116,1)}
        87:{3,5,6}:{(58,1),(94,1),(113,1),(117,1)}
        88:{1,3,6,7}:{(59,1),(62,1),(80,1),(118,1),(119,1),(185,1),(204,1)}
        89:{1,2,5,7}:{(59,1),(60,1),(63,1),(119,1),(120,1),(145,1),(205,1)}
        90:{2,4,7}:{(60,1),(64,1),(121,1),(143,1)}
        91:{1,4,6}:{(61,1),(62,1),(84,1),(122,1)}
        92:{1,3,5,6}:{(62,1),(63,1),(65,1),(85,1),(119,1),(122,1),(123,1),(124,1),(173,1),(178,1),(204,1)}
        93:{1,2,4,6}:{(63,1),(64,1),(66,1),(120,1),(123,1),(124,1),(125,1),(179,1),(180,1)}
        94:{3,4,6}:{(64,1),(67,1),(87,1),(121,1),(124,1),(125,1)}
        95:{1,4}:{(65,1),(126,1)}
        96:{3,5}:{(66,1),(124,1),(126,1)}
        97:{1,4,5}:{(67,1),(125,1),(127,1)}
        98:{2,3,6,7}:{(68,1),(71,1),(80,1),(129,1),(130,1),(177,1),(206,1)}
        99:{1,2,5,7}:{(68,1),(69,1),(72,1),(130,1),(131,1),(144,1),(207,1)}
       100:{1,4,7}:{(69,1),(73,1),(132,1),(143,1)}
       101:{2,4,6}:{(70,1),(71,1),(84,1),(133,1)}
       102:{2,3,5,6}:{(71,1),(72,1),(74,1),(85,1),(130,1),(133,1),(134,1),(135,1),(182,1),(187,1),(206,1)}
       103:{1,2,4,6}:{(72,1),(73,1),(75,1),(131,1),(134,1),(135,1),(136,1),(188,1),(189,1)}
       104:{3,4,6}:{(73,1),(76,1),(86,1),(132,1),(135,1),(136,1)}
       105:{2,4}:{(74,1),(137,1)}
       106:{3,5}:{(75,1),(135,1),(137,1)}
       107:{2,4,5}:{(76,1),(136,1),(139,1)}
       108:{1,4,6,7}:{(77,1),(79,1),(82,1),(140,1)}
       109:{2,4,6,7}:{(78,1),(79,1),(83,1),(141,1)}
       110:{3,4,6,7}:{(80,1),(84,1),(118,1),(129,1),(142,1),(143,1),(175,1),(184,1),(191,1),(204,1),(206,1)}
       111:{3,5,7}:{(80,1),(81,1),(85,1),(143,1)}
       112:{3,5,7}:{(82,1),(86,1),(132,1),(140,1),(144,1)}
       113:{3,5,7}:{(83,1),(87,1),(121,1),(141,1),(145,1)}
       114:{3,5}:{(84,1),(122,1),(133,1),(146,1)}
       115:{4,6}:{(85,1),(143,1),(146,1)}
       116:{2,5,6}:{(86,1),(136,1),(144,1)}
       117:{1,5,6}:{(87,1),(125,1),(145,1)}
       118:{1,4,6,7}:{(88,1),(91,1),(110,1),(147,1),(148,1),(192,1),(200,1),(209,1)}
       119:{1,3,5,7}:{(88,1),(89,1),(92,1),(111,1),(147,1),(148,1),(149,1),(193,1)}
       120:{1,2,4,7}:{(89,1),(90,1),(93,1),(148,1),(149,1),(150,1),(194,1),(195,1)}
       121:{3,4,7}:{(90,1),(94,1),(113,1),(149,1),(150,1)}
       122:{1,5}:{(91,1),(114,1)}
       123:{1,4,6}:{(92,1),(95,1),(115,1),(148,1),(151,1),(152,1)}
       124:{3,6}:{(93,1),(96,1),(149,1)}
       125:{1,4,6}:{(94,1),(97,1),(117,1),(150,1),(153,1)}
       126:{3,4}:{(95,1),(96,1),(156,1)}
       127:{1,3,5}:{(96,1),(97,1),(153,1),(155,1),(157,1)}
       128:{2,3,5}:{(96,1),(154,1),(156,1),(157,1),(196,1),(197,1)}
       129:{2,4,6,7}:{(98,1),(101,1),(110,1),(158,1),(159,1),(194,1),(198,1),(208,1)}
       130:{2,3,5,7}:{(98,1),(99,1),(102,1),(111,1),(158,1),(159,1),(160,1),(199,1)}
       131:{1,2,4,7}:{(99,1),(100,1),(103,1),(159,1),(160,1),(161,1),(200,1),(201,1)}
       132:{3,4,7}:{(100,1),(104,1),(112,1),(160,1),(161,1)}
       133:{2,5}:{(101,1),(114,1)}
       134:{2,4,6}:{(102,1),(105,1),(115,1),(159,1),(162,1),(163,1)}
       135:{3,6}:{(103,1),(106,1),(160,1)}
       136:{2,4,6}:{(104,1),(107,1),(116,1),(161,1),(165,1)}
       137:{3,4}:{(105,1),(106,1),(166,1)}
       138:{1,3,5}:{(106,1),(164,1),(166,1),(168,1),(202,1),(203,1)}
       139:{2,3,5}:{(106,1),(107,1),(165,1),(167,1),(168,1)}
       140:{3,6,7}:{(108,1),(112,1),(169,1)}
       141:{3,6,7}:{(109,1),(113,1),(170,1)}
       142:{3,5,7}:{(110,1),(114,1),(147,1),(158,1),(171,1),(172,1)}
       143:{4,7}:{(111,1),(115,1)}
       144:{2,5,7}:{(112,1),(116,1),(161,1),(169,1)}
       145:{1,5,7}:{(113,1),(117,1),(150,1),(170,1)}
       146:{4,5}:{(114,1),(115,1)}
       147:{1,5,7}:{(118,1),(122,1),(142,1),(173,1)}
       148:{1,4,7}:{(119,1),(123,1),(143,1),(175,1)}
       149:{3,7}:{(120,1),(124,1)}
       150:{1,4,7}:{(121,1),(125,1),(145,1),(176,1)}
       151:{1,4,5}:{(122,1),(123,1),(146,1),(178,1)}
       152:{3,4,6}:{(123,1),(124,1),(126,1),(175,1),(178,1),(179,1),(204,1)}
       153:{1,3,6}:{(124,1),(125,1),(127,1),(176,1),(180,1)}
       154:{2,3,6}:{(124,1),(128,1),(177,1),(179,1),(180,1)}
       155:{1,3,4}:{(126,1),(127,1),(181,1)}
       156:{2,4}:{(126,1),(128,1)}
       157:{1,2,5}:{(127,1),(128,1),(180,1),(181,1)}
       158:{2,5,7}:{(129,1),(133,1),(142,1),(182,1)}
       159:{2,4,7}:{(130,1),(134,1),(143,1),(184,1)}
       160:{3,7}:{(131,1),(135,1)}
       161:{2,4,7}:{(132,1),(136,1),(144,1),(186,1)}
       162:{2,4,5}:{(133,1),(134,1),(146,1),(187,1)}
       163:{3,4,6}:{(134,1),(135,1),(137,1),(184,1),(187,1),(188,1),(206,1)}
       164:{1,3,6}:{(135,1),(138,1),(185,1),(188,1),(189,1)}
       165:{2,3,6}:{(135,1),(136,1),(139,1),(186,1),(189,1)}
       166:{1,4}:{(137,1),(138,1)}
       167:{2,3,4}:{(137,1),(139,1),(190,1)}
       168:{1,2,5}:{(138,1),(139,1),(189,1),(190,1)}
       169:{2,6,7}:{(140,1),(144,1)}
       170:{1,6,7}:{(141,1),(145,1)}
       171:{3,5,6}:{(142,1),(173,1),(182,1),(191,1),(204,1),(206,1)}
       172:{4,5,7}:{(142,1),(143,1),(146,1),(191,1)}
       173:{1,5,6}:{(147,1),(171,1),(192,1),(209,1)}
       174:{1,4,5,7}:{(147,1),(148,1),(151,1),(172,1),(192,1),(193,1)}
       175:{3,4,7}:{(148,1),(149,1),(152,1),(193,1),(194,1)}
       176:{1,3,7}:{(149,1),(150,1),(153,1),(195,1)}
       177:{2,3,7}:{(149,1),(154,1),(194,1),(195,1)}
       178:{3,5}:{(151,1),(152,1),(196,1)}
       179:{2,4,6}:{(152,1),(154,1),(156,1),(194,1),(196,1),(208,1)}
       180:{1,2,6}:{(153,1),(154,1),(157,1),(195,1)}
       181:{1,2,4}:{(155,1),(156,1),(157,1),(197,1)}
       182:{2,5,6}:{(158,1),(171,1),(198,1),(208,1)}
       183:{2,4,5,7}:{(158,1),(159,1),(162,1),(172,1),(198,1),(199,1)}
       184:{3,4,7}:{(159,1),(160,1),(163,1),(199,1),(200,1)}
       185:{1,3,7}:{(160,1),(164,1),(200,1),(201,1)}
       186:{2,3,7}:{(160,1),(161,1),(165,1),(201,1)}
       187:{3,5}:{(162,1),(163,1),(202,1)}
       188:{1,4,6}:{(163,1),(164,1),(166,1),(200,1),(202,1),(209,1)}
       189:{1,2,6}:{(164,1),(165,1),(168,1),(201,1)}
       190:{1,2,4}:{(166,1),(167,1),(168,1),(203,1)}
       191:{4,6}:{(171,1),(172,1)}
       192:{1,4,6}:{(173,1),(174,1),(191,1),(204,1)}
       193:{3,5,7}:{(174,1),(175,1),(178,1),(204,1),(205,1)}
       194:{2,4,7}:{(175,1),(177,1),(179,1),(205,1)}
       195:{1,2,7}:{(176,1),(177,1),(180,1)}
       196:{2,5}:{(178,1),(179,1)}
       197:{2,3}:{(181,1)}
       198:{2,4,6}:{(182,1),(183,1),(191,1),(206,1)}
       199:{3,5,7}:{(183,1),(184,1),(187,1),(206,1),(207,1)}
       200:{1,4,7}:{(184,1),(185,1),(188,1),(207,1)}
       201:{1,2,7}:{(185,1),(186,1),(189,1)}
       202:{1,5}:{(187,1),(188,1)}
       203:{1,3}:{(190,1)}
       204:{3,6}:{(192,1),(193,1),(208,1)}
       205:{2,5,7}:{(193,1),(194,1),(196,1),(208,1)}
       206:{3,6}:{(198,1),(199,1),(209,1)}
       207:{1,5,7}:{(199,1),(200,1),(202,1),(209,1)}
       208:{2,6}:{(204,1),(205,1)}
       209:{1,6}:{(206,1),(207,1)}

 885 :  0:{3,4,5}:{(4,1),(5,1),(6,1),(31,1),(72,1)}
        1:{2,3,4}:{(7,1),(8,1),(44,1)}
        2:{1,3,4}:{(9,1),(10,1),(44,1)}
        3:{4,5,6}:{(12,1),(13,1),(63,1),(83,1)}
        4:{3,4,6}:{(0,1),(13,1),(14,1),(15,1),(16,1),(43,1),(63,1)}
        5:{1,4,5}:{(0,1),(9,1),(15,1)}
        6:{2,4,5}:{(0,1),(7,1),(16,1)}
        7:{2,3,5}:{(1,1),(6,1),(18,1),(19,1),(31,1)}
        8:{1,2,4}:{(1,1),(19,1),(20,1),(47,1)}
        9:{1,3,5}:{(2,1),(5,1),(21,1),(22,1),(31,1)}
       10:{1,2,4}:{(2,1),(22,1),(23,1),(50,1)}
       11:{5,6,7}:{(24,1),(81,1)}
       12:{4,5,7}:{(3,1),(24,1),(25,1),(71,1),(81,1)}
       13:{3,5,6}:{(3,1),(4,1),(25,1),(26,1),(27,1)}
       14:{3,4,7}:{(4,1),(25,1),(28,1),(29,1),(55,1),(71,1)}
       15:{1,4,6}:{(4,1),(5,1),(21,1),(26,1),(28,1)}
       16:{2,4,6}:{(4,1),(6,1),(18,1),(27,1),(29,1)}
       17:{1,2,4,5}:{(5,1),(6,1),(19,1),(22,1),(30,1),(31,1),(47,1),(50,1),(67,1),(69,1),(72,1)}
       18:{2,3,6}:{(7,1),(16,1),(32,1),(33,1),(43,1)}
       19:{1,2,5}:{(7,1),(8,1),(33,1),(34,1)}
       20:{1,3}:{(8,1)}
       21:{1,3,6}:{(9,1),(15,1),(35,1),(36,1),(43,1)}
       22:{1,2,5}:{(9,1),(10,1),(36,1),(37,1)}
       23:{2,3}:{(10,1)}
       24:{4,6,7}:{(11,1),(12,1),(38,1)}
       25:{3,5,7}:{(12,1),(13,1),(14,1),(38,1),(39,1),(40,1)}
       26:{1,5,6}:{(13,1),(15,1),(39,1)}
       27:{2,5,6}:{(13,1),(16,1),(40,1)}
       28:{1,4,7}:{(14,1),(15,1),(35,1),(39,1)}
       29:{2,4,7}:{(14,1),(16,1),(32,1),(40,1)}
       30:{1,2,4,6}:{(15,1),(16,1),(17,1),(33,1),(36,1),(41,1),(42,1),(43,1),(58,1),(60,1),(63,1)}
       31:{3,5}:{(17,1),(43,1),(44,1)}
       32:{2,3,7}:{(18,1),(29,1),(45,1),(55,1)}
       33:{1,2,6}:{(18,1),(19,1),(45,1),(46,1)}
       34:{1,3,5}:{(19,1),(20,1),(31,1),(46,1),(47,1),(67,1)}
       35:{1,3,7}:{(21,1),(28,1),(48,1),(55,1)}
       36:{1,2,6}:{(21,1),(22,1),(48,1),(49,1)}
       37:{2,3,5}:{(22,1),(23,1),(31,1),(49,1),(50,1),(69,1)}
       38:{3,6,7}:{(24,1),(25,1),(51,1),(52,1)}
       39:{1,5,7}:{(25,1),(26,1),(28,1),(51,1)}
       40:{2,5,7}:{(25,1),(27,1),(29,1),(52,1)}
       41:{1,2,5,6}:{(26,1),(27,1),(30,1),(53,1),(54,1),(67,1),(69,1),(79,1),(80,1)}
       42:{1,2,4,7}:{(28,1),(29,1),(30,1),(45,1),(48,1),(53,1),(55,1),(66,1),(68,1),(71,1)}
       43:{3,6}:{(30,1),(31,1),(55,1)}
       44:{3,4}:{(31,1),(47,1),(50,1)}
       45:{1,2,7}:{(32,1),(33,1),(57,1)}
       46:{1,3,6}:{(33,1),(34,1),(43,1),(57,1),(58,1)}
       47:{1,4}:{(34,1),(44,1)}
       48:{1,2,7}:{(35,1),(36,1),(59,1)}
       49:{2,3,6}:{(36,1),(37,1),(43,1),(59,1),(60,1)}
       50:{2,4}:{(37,1),(44,1)}
       51:{1,6,7}:{(38,1),(39,1)}
       52:{2,6,7}:{(38,1),(40,1)}
       53:{1,2,5,7}:{(39,1),(40,1),(41,1),(42,1),(61,1),(62,1),(74,1),(75,1)}
       54:{3,5,6}:{(41,1),(43,1),(62,1),(63,1),(65,1),(78,1),(83,1)}
       55:{3,7}:{(42,1),(43,1)}
       56:{3,4,6}:{(43,1),(44,1),(58,1),(60,1),(63,1),(64,1),(65,1),(78,1)}
       57:{1,3,7}:{(45,1),(46,1),(55,1),(66,1)}
       58:{1,4,6}:{(46,1),(47,1),(56,1),(66,1),(67,1),(79,1)}
       59:{2,3,7}:{(48,1),(49,1),(55,1),(68,1)}
       60:{2,4,6}:{(49,1),(50,1),(56,1),(68,1),(69,1),(80,1)}
       61:{1,2,6,7}:{(51,1),(52,1),(53,1),(70,1),(79,1),(80,1)}
       62:{3,5,7}:{(53,1),(54,1),(55,1),(70,1),(71,1),(81,1)}
       63:{4,6}:{(54,1),(71,1),(72,1)}
       64:{3,4,7}:{(55,1),(56,1),(66,1),(68,1),(71,1),(73,1)}
       65:{3,5}:{(56,1),(67,1),(69,1),(72,1)}
       66:{1,4,7}:{(57,1),(58,1),(64,1),(74,1)}
       67:{1,5}:{(58,1),(65,1)}
       68:{2,4,7}:{(59,1),(60,1),(64,1),(75,1)}
       69:{2,5}:{(60,1),(65,1)}
       70:{3,6,7}:{(61,1),(62,1),(76,1),(78,1)}
       71:{4,7}:{(62,1),(63,1)}
       72:{4,5}:{(63,1),(65,1)}
       73:{3,5,7}:{(64,1),(65,1),(74,1),(75,1),(77,1),(78,1)}
       74:{1,5,7}:{(66,1),(67,1),(73,1),(79,1)}
       75:{2,5,7}:{(68,1),(69,1),(73,1),(80,1)}
       76:{4,6,7}:{(70,1),(71,1),(81,1),(82,1)}
       77:{4,5,7}:{(71,1),(72,1),(73,1),(81,1),(82,1)}
       78:{3,6}:{(73,1),(79,1),(80,1),(82,1)}
       79:{1,6}:{(74,1),(78,1)}
       80:{2,6}:{(75,1),(78,1)}
       81:{5,7}:{(76,1),(83,1)}
       82:{4,6}:{(77,1),(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 886 :   0:{1,2,3,5,7}:{(2,1),(4,1),(6,1),(7,1),(27,1),(29,1),(33,1),(35,1),(38,1),(41,1)}
         1:{3,4,5,7}:{(8,1),(9,1),(10,1),(38,1),(46,1),(84,1),(94,1),(98,1),(151,1),(163,1),(167,1)}
         2:{1,2,3,7}:{(11,1),(12,1),(177,1),(192,1),(219,1)}
         3:{2,3,4,7}:{(11,1),(13,1),(14,1),(19,1),(116,1),(127,1),(177,1)}
         4:{1,2,3,7}:{(15,1),(16,1),(181,1),(188,1),(224,1)}
         5:{1,3,4,7}:{(15,1),(17,1),(18,1),(19,1),(114,1),(128,1),(188,1)}
         6:{1,2,4,7}:{(0,1),(19,1),(21,1),(52,1),(60,1)}
         7:{1,2,3,6}:{(0,1),(21,1),(50,1),(58,1),(65,1)}
         8:{2,4,5,7}:{(1,1),(13,1),(22,1),(55,1),(69,1),(116,1),(130,1),(193,1)}
         9:{1,4,5,7}:{(1,1),(17,1),(23,1),(63,1),(71,1),(118,1),(128,1),(182,1)}
        10:{3,4,6}:{(1,1),(22,1),(23,1),(25,1),(65,1),(134,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(26,1),(27,1),(28,1),(162,1)}
        12:{1,2,3,6}:{(2,1),(28,1),(29,1),(147,1),(205,1)}
        13:{2,3,5,7}:{(3,1),(8,1),(27,1),(30,1),(31,1),(38,1),(161,1),(212,1)}
        14:{2,3,4,6}:{(3,1),(28,1),(30,1),(31,1),(39,1),(81,1),(83,1),(147,1)}
        15:{1,2,4,7}:{(4,1),(5,1),(32,1),(33,1),(34,1),(150,1)}
        16:{1,2,3,6}:{(4,1),(34,1),(35,1),(159,1),(213,1)}
        17:{1,3,5,7}:{(5,1),(9,1),(33,1),(36,1),(37,1),(38,1),(148,1),(203,1)}
        18:{1,3,4,6}:{(5,1),(34,1),(36,1),(37,1),(39,1),(91,1),(93,1),(159,1)}
        19:{3,4,7}:{(6,1),(38,1),(39,1),(81,1),(91,1),(167,1)}
        20:{1,2,4,5,7}:{(6,1),(8,1),(9,1),(27,1),(33,1),(38,1),(40,1),(41,1),(75,1),(80,1),(85,1),(90,1),(98,1),(99,1),(146,1),(158,1),(167,1)}
        21:{1,2,4,6}:{(6,1),(7,1),(39,1),(41,1)}
        22:{2,4,6}:{(8,1),(10,1),(30,1),(43,1)}
        23:{1,4,6}:{(9,1),(10,1),(36,1),(45,1)}
        24:{3,4,6,7}:{(10,1),(42,1),(44,1),(46,1),(96,1),(106,1),(151,1),(163,1),(167,1),(168,1),(170,1)}
        25:{3,5,6}:{(10,1),(43,1),(45,1),(46,1),(47,1)}
        26:{1,3,4,7}:{(11,1),(19,1),(48,1),(49,1),(126,1),(174,1),(177,1)}
        27:{1,2,5,7}:{(11,1),(13,1),(48,1),(50,1),(51,1),(191,1),(224,1)}
        28:{1,2,4,6}:{(11,1),(12,1),(14,1),(49,1),(50,1),(51,1),(52,1)}
        29:{1,2,3,5}:{(12,1),(51,1),(52,1),(113,1),(180,1),(181,1)}
        30:{2,3,6}:{(13,1),(22,1),(50,1),(65,1)}
        31:{2,3,5}:{(14,1),(51,1),(55,1),(66,1),(113,1)}
        32:{2,3,4,7}:{(15,1),(19,1),(56,1),(57,1),(115,1),(185,1),(188,1)}
        33:{1,2,5,7}:{(15,1),(17,1),(56,1),(58,1),(59,1),(180,1),(219,1)}
        34:{1,2,4,6}:{(15,1),(16,1),(18,1),(57,1),(58,1),(59,1),(60,1)}
        35:{1,2,3,5}:{(16,1),(59,1),(60,1),(125,1),(191,1),(192,1)}
        36:{1,3,6}:{(17,1),(23,1),(58,1),(65,1)}
        37:{1,3,5}:{(18,1),(59,1),(63,1),(66,1),(125,1)}
        38:{3,5,7}:{(19,1),(20,1),(65,1),(66,1),(113,1),(125,1),(177,1),(188,1)}
        39:{3,4,6}:{(19,1),(21,1),(65,1),(66,1),(134,1)}
        40:{1,2,4,6}:{(20,1),(22,1),(23,1),(50,1),(58,1),(65,1),(68,1),(107,1),(119,1),(134,1)}
        41:{1,2,5}:{(21,1),(66,1)}
        42:{2,4,6,7}:{(22,1),(24,1),(53,1),(69,1),(116,1),(193,1),(197,1)}
        43:{2,5,6}:{(22,1),(25,1),(69,1)}
        44:{1,4,6,7}:{(23,1),(24,1),(61,1),(71,1),(128,1),(182,1),(196,1)}
        45:{1,5,6}:{(23,1),(25,1),(71,1)}
        46:{3,5,7}:{(24,1),(25,1),(69,1),(71,1),(74,1)}
        47:{4,5,6}:{(25,1),(74,1),(134,1)}
        48:{1,3,5,7}:{(26,1),(27,1),(38,1),(75,1),(76,1),(77,1),(160,1),(211,1)}
        49:{1,3,4,6}:{(26,1),(28,1),(39,1),(76,1),(77,1),(81,1),(144,1),(147,1)}
        50:{1,2,6}:{(27,1),(30,1),(76,1)}
        51:{1,2,5}:{(28,1),(31,1),(77,1)}
        52:{1,2,4}:{(29,1),(81,1)}
        53:{2,3,6,7}:{(30,1),(42,1),(78,1),(82,1),(96,1),(168,1),(212,1)}
        54:{2,3,5,6}:{(30,1),(31,1),(43,1),(79,1),(82,1),(83,1),(97,1),(102,1),(147,1)}
        55:{2,4,5}:{(31,1),(83,1),(84,1),(98,1)}
        56:{2,3,5,7}:{(32,1),(33,1),(38,1),(85,1),(86,1),(87,1),(149,1),(204,1)}
        57:{2,3,4,6}:{(32,1),(34,1),(39,1),(86,1),(87,1),(91,1),(156,1),(159,1)}
        58:{1,2,6}:{(33,1),(36,1),(86,1)}
        59:{1,2,5}:{(34,1),(37,1),(87,1)}
        60:{1,2,4}:{(35,1),(91,1)}
        61:{1,3,6,7}:{(36,1),(44,1),(88,1),(92,1),(96,1),(170,1),(203,1)}
        62:{1,3,5,6}:{(36,1),(37,1),(45,1),(89,1),(92,1),(93,1),(97,1),(105,1),(159,1)}
        63:{1,4,5}:{(37,1),(93,1),(94,1),(98,1)}
        64:{3,4,5,7}:{(38,1),(75,1),(85,1),(95,1),(98,1),(145,1),(157,1),(165,1),(167,1),(201,1),(209,1)}
        65:{3,6}:{(38,1),(40,1)}
        66:{3,5}:{(39,1),(41,1),(98,1)}
        67:{1,2,4,6,7}:{(40,1),(42,1),(44,1),(78,1),(88,1),(96,1),(99,1),(141,1),(146,1),(153,1),(158,1),(167,1)}
        68:{1,2,5,6}:{(40,1),(41,1),(43,1),(45,1),(97,1),(99,1),(142,1),(154,1)}
        69:{2,5,7}:{(42,1),(43,1),(46,1)}
        70:{2,4,5,6}:{(43,1),(47,1),(83,1),(101,1),(102,1)}
        71:{1,5,7}:{(44,1),(45,1),(46,1)}
        72:{1,4,5,6}:{(45,1),(47,1),(93,1),(104,1),(105,1)}
        73:{3,5,6,7}:{(46,1),(100,1),(103,1),(106,1),(168,1),(170,1)}
        74:{4,5,7}:{(46,1),(47,1),(106,1),(167,1)}
        75:{1,4,5,7}:{(48,1),(64,1),(107,1),(110,1),(172,1),(174,1),(187,1),(223,1)}
        76:{1,3,6}:{(48,1),(50,1),(65,1),(107,1)}
        77:{1,3,5}:{(49,1),(51,1),(66,1),(110,1),(113,1)}
        78:{1,2,6,7}:{(50,1),(53,1),(108,1),(111,1),(196,1),(224,1),(229,1)}
        79:{1,2,5,6}:{(50,1),(51,1),(54,1),(109,1),(111,1),(112,1),(137,1),(217,1)}
        80:{1,2,4,5}:{(51,1),(52,1),(55,1),(110,1),(112,1),(113,1),(118,1),(176,1),(180,1)}
        81:{3,4}:{(52,1),(113,1)}
        82:{2,3,5,7}:{(53,1),(54,1),(69,1),(111,1),(116,1),(133,1),(136,1),(177,1)}
        83:{2,4,6}:{(54,1),(55,1),(116,1),(117,1),(134,1)}
        84:{3,4,5}:{(55,1),(113,1),(117,1),(118,1)}
        85:{2,4,5,7}:{(56,1),(64,1),(119,1),(122,1),(176,1),(183,1),(185,1),(218,1)}
        86:{2,3,6}:{(56,1),(58,1),(65,1),(119,1)}
        87:{2,3,5}:{(57,1),(59,1),(66,1),(122,1),(125,1)}
        88:{1,2,6,7}:{(58,1),(61,1),(120,1),(123,1),(197,1),(219,1),(230,1)}
        89:{1,2,5,6}:{(58,1),(59,1),(62,1),(121,1),(123,1),(124,1),(140,1),(222,1)}
        90:{1,2,4,5}:{(59,1),(60,1),(63,1),(122,1),(124,1),(125,1),(130,1),(187,1),(191,1)}
        91:{3,4}:{(60,1),(125,1)}
        92:{1,3,5,7}:{(61,1),(62,1),(71,1),(123,1),(128,1),(133,1),(139,1),(188,1)}
        93:{1,4,6}:{(62,1),(63,1),(128,1),(129,1),(134,1)}
        94:{3,4,5}:{(63,1),(125,1),(129,1),(130,1)}
        95:{3,4,6}:{(64,1),(65,1),(107,1),(119,1),(132,1),(134,1)}
        96:{3,6,7}:{(65,1),(67,1),(133,1),(177,1),(188,1)}
        97:{3,5,6}:{(65,1),(66,1),(68,1),(133,1),(134,1)}
        98:{4,5}:{(66,1),(134,1)}
        99:{1,2,5,7}:{(67,1),(68,1),(69,1),(71,1),(133,1),(172,1),(183,1)}
       100:{2,5,6,7}:{(69,1),(73,1),(135,1),(197,1)}
       101:{2,4,5,7}:{(69,1),(70,1),(74,1),(116,1),(135,1),(136,1)}
       102:{3,5,6}:{(70,1),(117,1),(136,1),(137,1)}
       103:{1,5,6,7}:{(71,1),(73,1),(138,1),(196,1)}
       104:{1,4,5,7}:{(71,1),(72,1),(74,1),(128,1),(138,1),(139,1)}
       105:{3,5,6}:{(72,1),(129,1),(139,1),(140,1)}
       106:{4,6,7}:{(73,1),(74,1)}
       107:{1,4,6}:{(75,1),(76,1),(95,1),(142,1)}
       108:{1,3,6,7}:{(76,1),(78,1),(96,1),(141,1),(143,1),(211,1),(225,1)}
       109:{1,3,5,6}:{(76,1),(77,1),(79,1),(97,1),(142,1),(143,1),(144,1),(147,1),(200,1)}
       110:{1,4,5}:{(77,1),(98,1),(144,1),(145,1)}
       111:{1,2,5,7}:{(78,1),(79,1),(82,1),(143,1),(146,1),(169,1),(226,1)}
       112:{1,2,4,6}:{(79,1),(80,1),(83,1),(144,1),(146,1),(147,1),(152,1),(202,1),(205,1)}
       113:{3,5}:{(80,1),(81,1),(147,1)}
       114:{1,3,4}:{(81,1),(148,1),(150,1)}
       115:{2,3,4}:{(81,1),(149,1),(150,1)}
       116:{2,4,7}:{(82,1),(83,1),(151,1),(167,1)}
       117:{3,4,6}:{(83,1),(84,1),(102,1),(147,1),(151,1),(152,1)}
       118:{1,4,5}:{(84,1),(148,1),(152,1)}
       119:{2,4,6}:{(85,1),(86,1),(95,1),(154,1)}
       120:{2,3,6,7}:{(86,1),(88,1),(96,1),(153,1),(155,1),(204,1),(227,1)}
       121:{2,3,5,6}:{(86,1),(87,1),(89,1),(97,1),(154,1),(155,1),(156,1),(159,1),(208,1)}
       122:{2,4,5}:{(87,1),(98,1),(156,1),(157,1)}
       123:{1,2,5,7}:{(88,1),(89,1),(92,1),(155,1),(158,1),(171,1),(228,1)}
       124:{1,2,4,6}:{(89,1),(90,1),(93,1),(156,1),(158,1),(159,1),(164,1),(210,1),(213,1)}
       125:{3,5}:{(90,1),(91,1),(159,1)}
       126:{1,3,4}:{(91,1),(160,1),(162,1)}
       127:{2,3,4}:{(91,1),(161,1),(162,1)}
       128:{1,4,7}:{(92,1),(93,1),(163,1),(167,1)}
       129:{3,4,6}:{(93,1),(94,1),(105,1),(159,1),(163,1),(164,1)}
       130:{2,4,5}:{(94,1),(161,1),(164,1)}
       131:{3,4,6,7}:{(95,1),(96,1),(141,1),(153,1),(165,1),(167,1),(201,1),(209,1),(214,1),(225,1),(227,1)}
       132:{3,5,6}:{(95,1),(142,1),(154,1),(165,1),(166,1)}
       133:{3,5,7}:{(96,1),(97,1),(99,1),(167,1)}
       134:{4,6}:{(97,1),(98,1),(167,1)}
       135:{2,4,6,7}:{(100,1),(101,1),(106,1),(168,1)}
       136:{3,5,7}:{(101,1),(102,1),(151,1),(168,1),(169,1)}
       137:{1,5,6}:{(102,1),(152,1),(169,1)}
       138:{1,4,6,7}:{(103,1),(104,1),(106,1),(170,1)}
       139:{3,5,7}:{(104,1),(105,1),(163,1),(170,1),(171,1)}
       140:{2,5,6}:{(105,1),(164,1),(171,1)}
       141:{1,4,6,7}:{(107,1),(108,1),(131,1),(172,1),(174,1),(223,1),(230,1)}
       142:{1,5,6}:{(107,1),(132,1),(172,1)}
       143:{1,3,5,7}:{(108,1),(109,1),(111,1),(133,1),(172,1),(174,1),(177,1),(216,1)}
       144:{1,4,6}:{(109,1),(110,1),(134,1),(174,1),(175,1)}
       145:{3,4,5}:{(110,1),(113,1),(175,1),(176,1)}
       146:{1,2,4,7}:{(111,1),(112,1),(116,1),(174,1),(177,1),(182,1),(218,1),(219,1)}
       147:{3,6}:{(112,1),(113,1),(177,1)}
       148:{1,3,5}:{(113,1),(114,1),(118,1),(178,1),(180,1)}
       149:{2,3,5}:{(113,1),(115,1),(176,1),(179,1),(180,1)}
       150:{1,2,4}:{(114,1),(115,1),(180,1),(181,1)}
       151:{3,4,7}:{(116,1),(117,1),(136,1),(177,1),(182,1)}
       152:{1,4,6}:{(117,1),(118,1),(137,1),(178,1),(182,1)}
       153:{2,4,6,7}:{(119,1),(120,1),(131,1),(183,1),(185,1),(218,1),(229,1)}
       154:{2,5,6}:{(119,1),(132,1),(183,1)}
       155:{2,3,5,7}:{(120,1),(121,1),(123,1),(133,1),(183,1),(185,1),(188,1),(221,1)}
       156:{2,4,6}:{(121,1),(122,1),(134,1),(185,1),(186,1)}
       157:{3,4,5}:{(122,1),(125,1),(186,1),(187,1)}
       158:{1,2,4,7}:{(123,1),(124,1),(128,1),(185,1),(188,1),(193,1),(223,1),(224,1)}
       159:{3,6}:{(124,1),(125,1),(188,1)}
       160:{1,3,5}:{(125,1),(126,1),(187,1),(189,1),(191,1)}
       161:{2,3,5}:{(125,1),(127,1),(130,1),(190,1),(191,1)}
       162:{1,2,4}:{(126,1),(127,1),(191,1),(192,1)}
       163:{3,4,7}:{(128,1),(129,1),(139,1),(188,1),(193,1)}
       164:{2,4,6}:{(129,1),(130,1),(140,1),(190,1),(193,1)}
       165:{3,5,7}:{(131,1),(132,1),(172,1),(183,1),(195,1)}
       166:{4,5,6}:{(132,1),(134,1),(195,1)}
       167:{4,7}:{(133,1),(134,1)}
       168:{3,6,7}:{(135,1),(136,1),(196,1)}
       169:{1,5,7}:{(136,1),(137,1),(182,1),(196,1)}
       170:{3,6,7}:{(138,1),(139,1),(197,1)}
       171:{2,5,7}:{(139,1),(140,1),(193,1),(197,1)}
       172:{1,5,7}:{(141,1),(142,1),(165,1)}
       173:{1,4,5,6}:{(142,1),(144,1),(166,1),(199,1),(200,1)}
       174:{1,4,7}:{(143,1),(144,1),(167,1),(201,1)}
       175:{3,4,6}:{(144,1),(145,1),(147,1),(200,1),(201,1),(202,1)}
       176:{2,4,5}:{(145,1),(149,1),(202,1)}
       177:{3,7}:{(146,1),(147,1)}
       178:{1,3,6}:{(147,1),(148,1),(152,1),(203,1),(205,1)}
       179:{2,3,6}:{(147,1),(149,1),(202,1),(204,1),(205,1)}
       180:{1,2,5}:{(148,1),(149,1),(150,1),(205,1)}
       181:{1,2,3}:{(150,1)}
       182:{1,4,7}:{(151,1),(152,1),(169,1),(203,1)}
       183:{2,5,7}:{(153,1),(154,1),(165,1)}
       184:{2,4,5,6}:{(154,1),(156,1),(166,1),(207,1),(208,1)}
       185:{2,4,7}:{(155,1),(156,1),(167,1),(209,1)}
       186:{3,4,6}:{(156,1),(157,1),(159,1),(208,1),(209,1),(210,1)}
       187:{1,4,5}:{(157,1),(160,1),(210,1)}
       188:{3,7}:{(158,1),(159,1)}
       189:{1,3,6}:{(159,1),(160,1),(210,1),(211,1),(213,1)}
       190:{2,3,6}:{(159,1),(161,1),(164,1),(212,1),(213,1)}
       191:{1,2,5}:{(160,1),(161,1),(162,1),(213,1)}
       192:{1,2,3}:{(162,1)}
       193:{2,4,7}:{(163,1),(164,1),(171,1),(212,1)}
       194:{3,5,6,7}:{(165,1),(198,1),(206,1),(214,1),(225,1),(227,1)}
       195:{4,5,7}:{(165,1),(166,1),(167,1),(214,1)}
       196:{1,6,7}:{(168,1),(169,1)}
       197:{2,6,7}:{(170,1),(171,1)}
       198:{1,5,6,7}:{(172,1),(194,1),(215,1),(230,1)}
       199:{1,4,5,7}:{(172,1),(173,1),(174,1),(195,1),(215,1),(216,1)}
       200:{3,5,6}:{(173,1),(175,1),(216,1),(217,1)}
       201:{3,4,7}:{(174,1),(175,1),(177,1),(216,1),(218,1)}
       202:{2,4,6}:{(175,1),(176,1),(179,1),(217,1),(218,1)}
       203:{1,3,7}:{(177,1),(178,1),(182,1),(219,1)}
       204:{2,3,7}:{(177,1),(179,1),(218,1),(219,1)}
       205:{1,2,6}:{(178,1),(179,1),(180,1),(219,1)}
       206:{2,5,6,7}:{(183,1),(194,1),(220,1),(229,1)}
       207:{2,4,5,7}:{(183,1),(184,1),(185,1),(195,1),(220,1),(221,1)}
       208:{3,5,6}:{(184,1),(186,1),(221,1),(222,1)}
       209:{3,4,7}:{(185,1),(186,1),(188,1),(221,1),(223,1)}
       210:{1,4,6}:{(186,1),(187,1),(189,1),(222,1),(223,1)}
       211:{1,3,7}:{(188,1),(189,1),(223,1),(224,1)}
       212:{2,3,7}:{(188,1),(190,1),(193,1),(224,1)}
       213:{1,2,6}:{(189,1),(190,1),(191,1),(224,1)}
       214:{4,6,7}:{(194,1),(195,1)}
       215:{1,4,6,7}:{(198,1),(199,1),(214,1),(225,1)}
       216:{3,5,7}:{(199,1),(200,1),(201,1),(225,1),(226,1)}
       217:{2,5,6}:{(200,1),(202,1),(226,1)}
       218:{2,4,7}:{(201,1),(202,1),(204,1),(226,1)}
       219:{1,2,7}:{(203,1),(204,1),(205,1)}
       220:{2,4,6,7}:{(206,1),(207,1),(214,1),(227,1)}
       221:{3,5,7}:{(207,1),(208,1),(209,1),(227,1),(228,1)}
       222:{1,5,6}:{(208,1),(210,1),(228,1)}
       223:{1,4,7}:{(209,1),(210,1),(211,1),(228,1)}
       224:{1,2,7}:{(211,1),(212,1),(213,1)}
       225:{3,6,7}:{(215,1),(216,1),(229,1)}
       226:{2,5,7}:{(216,1),(217,1),(218,1),(229,1)}
       227:{3,6,7}:{(220,1),(221,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(223,1),(230,1)}
       229:{2,6,7}:{(225,1),(226,1)}
       230:{1,6,7}:{(227,1),(228,1)}

 887 :   0:{1,2,3,5}:{(2,1),(4,1),(6,1),(7,1),(24,1),(27,1),(30,1),(31,1)}
         1:{3,4,5}:{(8,1),(9,1),(10,1),(30,1),(64,1)}
         2:{1,2,3}:{(11,1)}
         3:{2,3,4}:{(11,1),(12,1),(15,1)}
         4:{1,2,3}:{(13,1)}
         5:{1,3,4}:{(13,1),(14,1),(15,1)}
         6:{1,2,3,6}:{(0,1),(16,1),(17,1),(41,1),(44,1),(49,1)}
         7:{1,2,4}:{(0,1),(15,1)}
         8:{2,4,5}:{(1,1),(12,1),(19,1)}
         9:{1,4,5}:{(1,1),(14,1),(20,1)}
        10:{3,4,6}:{(1,1),(19,1),(20,1),(21,1),(22,1),(49,1),(79,1)}
        11:{1,2,4}:{(2,1),(3,1),(23,1),(24,1)}
        12:{2,3,5}:{(3,1),(8,1),(24,1),(25,1),(30,1)}
        13:{1,2,4}:{(4,1),(5,1),(26,1),(27,1)}
        14:{1,3,5}:{(5,1),(9,1),(27,1),(28,1),(30,1)}
        15:{3,4}:{(7,1),(30,1)}
        16:{1,2,4,6}:{(6,1),(7,1),(29,1),(31,1),(32,1),(69,1)}
        17:{1,2,3,7}:{(6,1),(32,1),(59,1),(62,1),(67,1)}
        18:{1,2,4,5}:{(7,1),(8,1),(9,1),(24,1),(27,1),(30,1),(31,1),(33,1),(57,1),(60,1),(64,1)}
        19:{2,4,6}:{(8,1),(10,1),(25,1),(34,1),(35,1)}
        20:{1,4,6}:{(9,1),(10,1),(28,1),(36,1),(37,1)}
        21:{3,5,6}:{(10,1),(34,1),(36,1),(38,1),(39,1)}
        22:{3,4,7}:{(10,1),(35,1),(37,1),(39,1),(67,1),(91,1)}
        23:{1,3,4}:{(11,1),(15,1),(40,1)}
        24:{1,2,5}:{(11,1),(12,1),(40,1),(41,1)}
        25:{2,3,6}:{(12,1),(19,1),(41,1),(42,1),(49,1)}
        26:{2,3,4}:{(13,1),(15,1),(43,1)}
        27:{1,2,5}:{(13,1),(14,1),(43,1),(44,1)}
        28:{1,3,6}:{(14,1),(20,1),(44,1),(45,1),(49,1)}
        29:{3,4,6}:{(15,1),(16,1),(47,1),(48,1),(49,1),(79,1),(82,1)}
        30:{3,5}:{(15,1),(18,1),(49,1)}
        31:{1,2,5}:{(16,1),(47,1)}
        32:{1,2,4,7}:{(16,1),(17,1),(48,1),(51,1)}
        33:{1,2,4,6}:{(18,1),(19,1),(20,1),(41,1),(44,1),(49,1),(50,1),(52,1),(73,1),(75,1),(79,1)}
        34:{2,5,6}:{(19,1),(21,1),(53,1)}
        35:{2,4,7}:{(19,1),(22,1),(42,1),(53,1)}
        36:{1,5,6}:{(20,1),(21,1),(54,1)}
        37:{1,4,7}:{(20,1),(22,1),(45,1),(54,1)}
        38:{4,5,6}:{(21,1),(55,1),(79,1),(99,1)}
        39:{3,5,7}:{(21,1),(22,1),(53,1),(54,1),(55,1),(56,1)}
        40:{1,3,5}:{(23,1),(24,1),(30,1),(57,1),(58,1)}
        41:{1,2,6}:{(24,1),(25,1),(58,1),(59,1)}
        42:{2,3,7}:{(25,1),(35,1),(59,1),(67,1)}
        43:{2,3,5}:{(26,1),(27,1),(30,1),(60,1),(61,1)}
        44:{1,2,6}:{(27,1),(28,1),(61,1),(62,1)}
        45:{1,3,7}:{(28,1),(37,1),(62,1),(67,1)}
        46:{3,4,5}:{(30,1),(57,1),(60,1),(63,1),(64,1)}
        47:{3,5}:{(29,1),(31,1),(64,1)}
        48:{3,4,7}:{(29,1),(32,1),(66,1),(67,1),(91,1)}
        49:{3,6}:{(30,1),(33,1),(67,1)}
        50:{1,2,5,6}:{(31,1),(33,1),(34,1),(36,1),(65,1),(68,1),(69,1),(85,1),(87,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(66,1),(69,1)}
        52:{1,2,4,7}:{(33,1),(35,1),(37,1),(59,1),(62,1),(67,1),(68,1),(86,1),(88,1),(91,1)}
        53:{2,5,7}:{(34,1),(35,1),(39,1),(70,1)}
        54:{1,5,7}:{(36,1),(37,1),(39,1),(71,1)}
        55:{4,5,7}:{(38,1),(39,1),(72,1),(91,1),(103,1)}
        56:{3,6,7}:{(39,1),(70,1),(71,1),(72,1)}
        57:{1,4,5}:{(40,1),(46,1),(73,1)}
        58:{1,3,6}:{(40,1),(41,1),(49,1),(73,1),(74,1)}
        59:{1,2,7}:{(41,1),(42,1),(74,1)}
        60:{2,4,5}:{(43,1),(46,1),(75,1)}
        61:{2,3,6}:{(43,1),(44,1),(49,1),(75,1),(76,1)}
        62:{1,2,7}:{(44,1),(45,1),(76,1)}
        63:{3,4,6}:{(46,1),(49,1),(73,1),(75,1),(77,1),(78,1),(79,1)}
        64:{4,5}:{(47,1),(79,1)}
        65:{3,5,6}:{(47,1),(49,1),(50,1),(79,1),(81,1),(82,1),(99,1)}
        66:{3,5,7}:{(47,1),(48,1),(51,1),(80,1),(82,1)}
        67:{3,7}:{(49,1),(52,1)}
        68:{1,2,5,7}:{(50,1),(52,1),(53,1),(54,1),(81,1),(83,1),(94,1),(95,1)}
        69:{1,2,6}:{(51,1),(82,1)}
        70:{2,6,7}:{(53,1),(56,1)}
        71:{1,6,7}:{(54,1),(56,1)}
        72:{4,6,7}:{(55,1),(56,1),(84,1)}
        73:{1,4,6}:{(57,1),(58,1),(63,1),(85,1),(86,1)}
        74:{1,3,7}:{(58,1),(59,1),(67,1),(86,1)}
        75:{2,4,6}:{(60,1),(61,1),(63,1),(87,1),(88,1)}
        76:{2,3,7}:{(61,1),(62,1),(67,1),(88,1)}
        77:{3,5,6}:{(63,1),(85,1),(87,1),(89,1),(90,1)}
        78:{3,4,7}:{(63,1),(67,1),(86,1),(88,1),(90,1),(91,1)}
        79:{4,6}:{(64,1),(65,1),(91,1)}
        80:{4,5,7}:{(64,1),(66,1),(91,1),(92,1),(103,1)}
        81:{3,5,7}:{(65,1),(67,1),(68,1),(91,1),(93,1),(103,1)}
        82:{3,6}:{(66,1),(69,1),(92,1)}
        83:{1,2,6,7}:{(68,1),(69,1),(70,1),(71,1),(93,1),(100,1),(101,1)}
        84:{5,6,7}:{(72,1),(103,1)}
        85:{1,5,6}:{(73,1),(77,1),(94,1)}
        86:{1,4,7}:{(73,1),(74,1),(78,1),(94,1)}
        87:{2,5,6}:{(75,1),(77,1),(95,1)}
        88:{2,4,7}:{(75,1),(76,1),(78,1),(95,1)}
        89:{4,5,6}:{(77,1),(79,1),(96,1),(99,1)}
        90:{3,5,7}:{(77,1),(78,1),(94,1),(95,1),(96,1),(97,1)}
        91:{4,7}:{(79,1),(81,1)}
        92:{4,6}:{(80,1),(82,1),(99,1)}
        93:{3,6,7}:{(81,1),(82,1),(83,1),(98,1)}
        94:{1,5,7}:{(85,1),(86,1),(90,1),(100,1)}
        95:{2,5,7}:{(87,1),(88,1),(90,1),(101,1)}
        96:{4,5,7}:{(89,1),(90,1),(91,1),(102,1),(103,1)}
        97:{3,6,7}:{(90,1),(100,1),(101,1),(102,1)}
        98:{4,6,7}:{(91,1),(92,1),(93,1),(103,1)}
        99:{5,6}:{(92,1),(103,1)}
       100:{1,6,7}:{(94,1),(97,1)}
       101:{2,6,7}:{(95,1),(97,1)}
       102:{4,6,7}:{(96,1),(97,1),(104,1)}
       103:{5,7}:{(98,1),(99,1)}
       104:{5,6,7}:{(102,1),(103,1)}

 888 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(14,1),(18,1),(38,1),(42,1),(74,1),(75,1),(76,1),(102,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(62,1),(63,1),(87,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(27,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(61,1),(88,1),(101,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(15,1),(43,1),(95,1)}
         5:{3,4,6}:{(3,1),(10,1),(12,1),(13,1),(14,1),(47,1),(78,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(44,1),(45,1),(48,1),(76,1)}
         7:{3,5,7}:{(2,1),(3,1),(12,1),(15,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(16,1),(18,1),(35,1),(47,1),(68,1),(70,1),(74,1),(91,1),(95,1),(102,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(32,1),(47,1),(66,1),(72,1),(75,1),(93,1),(95,1),(103,1)}
        10:{3,4,5}:{(5,1),(22,1),(23,1),(61,1),(101,1)}
        11:{4,6,7}:{(4,1),(24,1),(100,1)}
        12:{3,4,7}:{(5,1),(7,1),(26,1),(27,1),(65,1)}
        13:{1,4,6}:{(5,1),(8,1),(22,1),(26,1),(83,1),(100,1)}
        14:{2,4,6}:{(5,1),(9,1),(23,1),(27,1),(86,1),(100,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(26,1),(29,1),(31,1),(62,1),(65,1),(90,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(27,1),(30,1),(31,1),(63,1),(65,1),(90,1)}
        18:{1,2,5,6}:{(8,1),(9,1),(28,1),(31,1),(50,1),(54,1),(81,1),(84,1)}
        19:{2,3,4,6}:{(14,1),(32,1),(33,1),(34,1),(47,1),(66,1),(78,1),(96,1)}
        20:{1,3,4,6}:{(13,1),(35,1),(36,1),(37,1),(47,1),(70,1),(78,1),(96,1)}
        21:{3,4,5,7}:{(10,1),(12,1),(39,1),(40,1),(41,1),(43,1),(77,1),(97,1),(104,1)}
        22:{1,4,5}:{(10,1),(13,1),(35,1),(102,1),(104,1)}
        23:{2,4,5}:{(10,1),(14,1),(32,1),(103,1),(104,1)}
        24:{4,5,7}:{(11,1),(38,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(15,1),(39,1),(43,1),(44,1),(45,1),(80,1),(96,1),(97,1)}
        26:{1,4,7}:{(12,1),(13,1),(16,1),(97,1)}
        27:{2,4,7}:{(12,1),(14,1),(17,1),(97,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(18,1),(42,1),(46,1),(47,1)}
        29:{1,3,6,7}:{(15,1),(16,1),(44,1),(48,1),(70,1),(80,1),(91,1)}
        30:{2,3,6,7}:{(15,1),(17,1),(45,1),(48,1),(66,1),(80,1),(93,1)}
        31:{1,2,5,7}:{(16,1),(17,1),(18,1),(46,1),(48,1)}
        32:{2,3,5}:{(19,1),(23,1),(50,1),(61,1),(101,1)}
        33:{2,3,4,7}:{(19,1),(27,1),(49,1),(51,1),(65,1),(89,1)}
        34:{1,2,4,6}:{(19,1),(50,1),(51,1),(52,1),(81,1),(83,1),(98,1)}
        35:{1,3,5}:{(20,1),(22,1),(54,1),(61,1),(101,1)}
        36:{1,3,4,7}:{(20,1),(26,1),(53,1),(55,1),(65,1),(89,1)}
        37:{1,2,4,6}:{(20,1),(54,1),(55,1),(56,1),(84,1),(86,1),(99,1)}
        38:{4,5,6}:{(24,1),(57,1),(100,1)}
        39:{3,4,6}:{(21,1),(57,1),(58,1),(59,1),(88,1),(100,1)}
        40:{1,4,5,7}:{(21,1),(22,1),(26,1),(53,1),(58,1),(62,1)}
        41:{2,4,5,7}:{(21,1),(23,1),(27,1),(49,1),(59,1),(63,1)}
        42:{1,2,4,5}:{(22,1),(23,1),(28,1),(50,1),(54,1),(61,1),(83,1),(86,1)}
        43:{3,5,7}:{(24,1),(25,1),(57,1),(62,1),(63,1),(101,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(58,1),(62,1),(98,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(59,1),(63,1),(99,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(28,1),(31,1),(65,1)}
        47:{3,6}:{(28,1),(61,1),(65,1)}
        48:{1,2,6,7}:{(29,1),(30,1),(31,1),(81,1),(84,1)}
        49:{2,3,5,7}:{(32,1),(33,1),(41,1),(66,1),(67,1),(77,1)}
        50:{1,2,5}:{(32,1),(34,1),(68,1),(102,1)}
        51:{1,2,4,7}:{(33,1),(34,1),(67,1),(69,1),(92,1)}
        52:{1,3,6}:{(34,1),(47,1),(68,1),(69,1)}
        53:{1,3,5,7}:{(35,1),(36,1),(40,1),(70,1),(71,1),(77,1)}
        54:{1,2,5}:{(35,1),(37,1),(72,1),(103,1)}
        55:{1,2,4,7}:{(36,1),(37,1),(71,1),(73,1),(94,1)}
        56:{2,3,6}:{(37,1),(47,1),(72,1),(73,1)}
        57:{3,5,6}:{(38,1),(39,1),(43,1),(74,1),(75,1)}
        58:{1,4,6}:{(39,1),(40,1),(70,1),(74,1)}
        59:{2,4,6}:{(39,1),(41,1),(66,1),(75,1)}
        60:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(46,1),(67,1),(71,1),(76,1),(77,1),(79,1),(92,1),(94,1),(97,1),(102,1),(103,1),(104,1)}
        61:{3,5}:{(42,1),(47,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(74,1),(102,1)}
        63:{2,5,7}:{(43,1),(45,1),(75,1),(103,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(48,1),(76,1),(79,1),(80,1),(97,1)}
        65:{3,7}:{(46,1),(47,1)}
        66:{2,3,6}:{(49,1),(59,1),(81,1),(88,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(51,1),(81,1),(82,1)}
        68:{1,3,5}:{(50,1),(52,1),(61,1),(83,1)}
        69:{1,3,7}:{(51,1),(52,1),(65,1)}
        70:{1,3,6}:{(53,1),(58,1),(84,1),(88,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(55,1),(84,1),(85,1)}
        72:{2,3,5}:{(54,1),(56,1),(61,1),(86,1)}
        73:{2,3,7}:{(55,1),(56,1),(65,1)}
        74:{1,5,6}:{(57,1),(58,1),(62,1)}
        75:{2,5,6}:{(57,1),(59,1),(63,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(81,1),(84,1),(87,1),(88,1),(98,1),(99,1),(100,1)}
        77:{3,5,7}:{(60,1),(61,1),(65,1),(88,1),(89,1),(101,1)}
        78:{3,4}:{(61,1),(83,1),(86,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(87,1),(90,1)}
        80:{3,6,7}:{(64,1),(65,1),(88,1),(90,1)}
        81:{1,2,6}:{(66,1),(67,1),(91,1)}
        82:{1,3,5,7}:{(67,1),(68,1),(69,1),(77,1),(91,1),(92,1),(102,1)}
        83:{1,4}:{(68,1),(78,1)}
        84:{1,2,6}:{(70,1),(71,1),(93,1)}
        85:{2,3,5,7}:{(71,1),(72,1),(73,1),(77,1),(93,1),(94,1),(103,1)}
        86:{2,4}:{(72,1),(78,1)}
        87:{1,2,5,6}:{(74,1),(75,1),(76,1),(79,1),(95,1),(102,1),(103,1)}
        88:{3,6}:{(76,1),(77,1)}
        89:{3,4,7}:{(77,1),(78,1),(92,1),(94,1),(96,1),(97,1)}
        90:{3,5,7}:{(79,1),(80,1),(95,1),(97,1)}
        91:{1,3,6}:{(81,1),(82,1),(88,1),(98,1)}
        92:{1,4,7}:{(82,1),(83,1),(89,1),(98,1)}
        93:{2,3,6}:{(84,1),(85,1),(88,1),(99,1)}
        94:{2,4,7}:{(85,1),(86,1),(89,1),(99,1)}
        95:{3,5,6}:{(87,1),(88,1),(90,1),(100,1),(101,1)}
        96:{3,4,6}:{(88,1),(89,1),(98,1),(99,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(100,1)}
        98:{1,4,6}:{(91,1),(92,1),(96,1),(102,1)}
        99:{2,4,6}:{(93,1),(94,1),(96,1),(103,1)}
       100:{4,6}:{(95,1),(97,1),(104,1)}
       101:{3,5}:{(96,1),(102,1),(103,1),(104,1)}
       102:{1,5}:{(98,1),(101,1)}
       103:{2,5}:{(99,1),(101,1)}
       104:{4,5}:{(100,1),(101,1)}

 889 :   0:{4,5,6,7}:{(2,1),(50,1),(225,1)}
         1:{3,4,5,6}:{(3,1),(4,1),(5,1),(24,1),(94,1),(159,1),(206,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(7,1),(8,1),(219,1)}
         3:{3,4,5,7}:{(1,1),(6,1),(9,1),(10,1),(37,1),(69,1)}
         4:{1,4,5,6}:{(1,1),(9,1),(11,1),(171,1),(211,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(12,1),(177,1),(214,1)}
         6:{3,4,6,7}:{(2,1),(3,1),(16,1),(17,1),(49,1),(50,1),(206,1)}
         7:{1,5,6,7}:{(2,1),(16,1),(221,1)}
         8:{2,5,6,7}:{(2,1),(17,1),(223,1)}
         9:{1,4,5,7}:{(3,1),(4,1),(16,1),(19,1)}
        10:{2,4,5,7}:{(3,1),(5,1),(17,1),(20,1)}
        11:{1,3,5,6}:{(4,1),(14,1),(19,1),(22,1),(24,1),(141,1),(194,1)}
        12:{2,3,5,6}:{(5,1),(15,1),(20,1),(23,1),(24,1),(147,1),(199,1)}
        13:{1,2,4,5,6}:{(4,1),(5,1),(21,1),(22,1),(23,1),(24,1),(55,1),(56,1),(94,1),(100,1),(152,1),(153,1),(156,1)}
        14:{1,3,4,6}:{(11,1),(25,1),(27,1),(28,1),(40,1)}
        15:{2,3,4,6}:{(12,1),(26,1),(29,1),(30,1),(40,1)}
        16:{1,4,6,7}:{(6,1),(7,1),(9,1),(31,1),(211,1)}
        17:{2,4,6,7}:{(6,1),(8,1),(10,1),(32,1),(214,1)}
        18:{1,2,5,6,7}:{(7,1),(8,1),(33,1),(34,1),(119,1),(120,1),(181,1)}
        19:{1,3,5,7}:{(9,1),(11,1),(27,1),(31,1),(35,1),(37,1)}
        20:{2,3,5,7}:{(10,1),(12,1),(29,1),(32,1),(36,1),(37,1)}
        21:{1,2,4,5,7}:{(9,1),(10,1),(13,1),(33,1),(35,1),(36,1),(37,1),(69,1),(71,1),(72,1),(119,1),(120,1)}
        22:{1,2,5,6}:{(11,1),(28,1),(35,1),(38,1),(111,1),(169,1)}
        23:{1,2,5,6}:{(12,1),(30,1),(36,1),(39,1),(116,1),(175,1)}
        24:{3,5,6}:{(13,1),(37,1),(40,1),(128,1),(185,1)}
        25:{1,3,4,5}:{(14,1),(41,1),(57,1),(132,1),(141,1)}
        26:{2,3,4,5}:{(15,1),(42,1),(57,1),(135,1),(147,1)}
        27:{1,3,4,7}:{(14,1),(19,1),(43,1),(53,1)}
        28:{1,2,4,6}:{(14,1),(22,1),(41,1),(43,1),(44,1),(55,1)}
        29:{2,3,4,7}:{(15,1),(20,1),(45,1),(53,1)}
        30:{1,2,4,6}:{(15,1),(23,1),(42,1),(45,1),(46,1),(56,1)}
        31:{1,3,6,7}:{(16,1),(19,1),(47,1),(49,1),(194,1)}
        32:{2,3,6,7}:{(17,1),(20,1),(48,1),(49,1),(199,1)}
        33:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(21,1),(47,1),(48,1),(49,1),(50,1),(91,1),(92,1),(156,1)}
        34:{3,5,6,7}:{(18,1),(49,1),(50,1),(93,1),(204,1)}
        35:{1,2,5,7}:{(19,1),(22,1),(43,1),(47,1),(51,1)}
        36:{1,2,5,7}:{(20,1),(23,1),(45,1),(48,1),(52,1)}
        37:{3,5,7}:{(21,1),(24,1),(49,1),(53,1)}
        38:{2,3,5,6}:{(22,1),(24,1),(44,1),(51,1),(55,1),(85,1),(140,1),(152,1)}
        39:{1,3,5,6}:{(23,1),(24,1),(46,1),(52,1),(56,1),(89,1),(146,1),(153,1)}
        40:{3,4,6}:{(24,1),(53,1),(55,1),(56,1),(57,1)}
        41:{1,2,4,5}:{(25,1),(28,1),(58,1),(75,1),(104,1),(111,1)}
        42:{1,2,4,5}:{(26,1),(30,1),(59,1),(76,1),(106,1),(116,1)}
        43:{1,2,4,7}:{(27,1),(28,1),(35,1),(60,1),(71,1)}
        44:{2,3,6}:{(28,1),(58,1),(60,1)}
        45:{1,2,4,7}:{(29,1),(30,1),(36,1),(63,1),(72,1)}
        46:{1,3,6}:{(30,1),(59,1),(63,1)}
        47:{1,2,6,7}:{(31,1),(35,1),(66,1),(169,1)}
        48:{1,2,6,7}:{(32,1),(36,1),(67,1),(175,1)}
        49:{3,6,7}:{(33,1),(37,1),(185,1)}
        50:{4,6,7}:{(34,1),(69,1),(217,1)}
        51:{2,3,5,7}:{(35,1),(37,1),(38,1),(60,1),(66,1),(71,1),(119,1)}
        52:{1,3,5,7}:{(36,1),(37,1),(39,1),(63,1),(67,1),(72,1),(120,1)}
        53:{3,4,7}:{(37,1),(40,1),(71,1),(72,1)}
        54:{1,2,3,5,6}:{(38,1),(39,1),(61,1),(64,1),(70,1),(74,1),(111,1),(116,1),(128,1),(169,1),(172,1),(175,1),(178,1),(181,1),(185,1)}
        55:{2,4,6}:{(38,1),(40,1),(71,1),(75,1)}
        56:{1,4,6}:{(39,1),(40,1),(72,1),(76,1)}
        57:{3,4,5}:{(40,1),(75,1),(76,1),(128,1)}
        58:{2,3,5}:{(41,1),(44,1),(79,1)}
        59:{1,3,5}:{(42,1),(46,1),(81,1)}
        60:{2,3,7}:{(43,1),(44,1)}
        61:{1,2,3,6}:{(44,1),(78,1),(82,1),(84,1),(189,1)}
        62:{2,3,4,6}:{(44,1),(55,1),(79,1),(83,1),(84,1),(85,1),(99,1),(140,1)}
        63:{1,3,7}:{(45,1),(46,1)}
        64:{1,2,3,6}:{(46,1),(80,1),(86,1),(88,1),(191,1)}
        65:{1,3,4,6}:{(46,1),(56,1),(81,1),(87,1),(88,1),(89,1),(99,1),(146,1)}
        66:{2,3,6,7}:{(47,1),(49,1),(51,1),(91,1),(140,1)}
        67:{1,3,6,7}:{(48,1),(49,1),(52,1),(92,1),(146,1)}
        68:{3,4,6,7}:{(49,1),(50,1),(53,1),(91,1),(92,1),(93,1),(98,1)}
        69:{4,5,7}:{(50,1),(93,1),(94,1)}
        70:{1,2,3,5,7}:{(51,1),(52,1),(54,1),(82,1),(86,1),(90,1),(95,1),(139,1),(145,1),(151,1),(155,1),(197,1),(202,1)}
        71:{2,4,7}:{(51,1),(53,1),(55,1)}
        72:{1,4,7}:{(52,1),(53,1),(56,1)}
        73:{3,4,5,7}:{(53,1),(57,1),(93,1),(96,1),(97,1),(98,1),(155,1),(203,1)}
        74:{1,2,4,6}:{(54,1),(55,1),(56,1),(95,1),(99,1),(100,1),(196,1),(201,1)}
        75:{2,4,5}:{(55,1),(57,1),(85,1)}
        76:{1,4,5}:{(56,1),(57,1),(89,1)}
        77:{3,4,5,6}:{(57,1),(98,1),(101,1),(102,1),(103,1),(160,1),(225,1)}
        78:{1,2,3,5}:{(58,1),(61,1),(104,1),(111,1),(162,1)}
        79:{2,3,4}:{(58,1),(104,1)}
        80:{1,2,3,5}:{(59,1),(64,1),(106,1),(116,1),(165,1)}
        81:{1,3,4}:{(59,1),(106,1)}
        82:{1,2,3,7}:{(60,1),(61,1),(108,1),(209,1)}
        83:{2,3,4,7}:{(60,1),(62,1),(71,1),(108,1),(109,1),(123,1)}
        84:{1,2,4,6}:{(61,1),(62,1),(104,1),(108,1),(110,1),(111,1),(169,1)}
        85:{2,3,5}:{(62,1),(75,1),(111,1),(128,1)}
        86:{1,2,3,7}:{(63,1),(64,1),(113,1),(210,1)}
        87:{1,3,4,7}:{(63,1),(65,1),(72,1),(113,1),(114,1),(123,1)}
        88:{1,2,4,6}:{(64,1),(65,1),(106,1),(113,1),(115,1),(116,1),(175,1)}
        89:{1,3,5}:{(65,1),(76,1),(116,1),(128,1)}
        90:{1,2,3,6,7}:{(66,1),(67,1),(70,1),(118,1),(169,1),(175,1),(185,1),(212,1),(215,1)}
        91:{2,4,6,7}:{(66,1),(68,1),(71,1),(119,1),(125,1)}
        92:{1,4,6,7}:{(67,1),(68,1),(72,1),(120,1),(126,1)}
        93:{3,5,7}:{(68,1),(69,1),(119,1),(120,1),(121,1)}
        94:{4,5,6}:{(69,1),(121,1),(217,1)}
        95:{1,2,4,7}:{(70,1),(71,1),(72,1),(74,1),(123,1),(213,1),(216,1)}
        96:{2,4,5,7}:{(71,1),(73,1),(75,1),(109,1),(119,1),(125,1)}
        97:{1,4,5,7}:{(72,1),(73,1),(76,1),(114,1),(120,1),(126,1)}
        98:{3,4,6}:{(73,1),(121,1),(125,1),(126,1),(185,1),(217,1)}
        99:{3,4,6}:{(74,1),(123,1),(128,1),(185,1)}
       100:{1,2,4,5}:{(74,1),(75,1),(76,1),(111,1),(116,1),(128,1),(171,1),(177,1)}
       101:{2,4,5,6}:{(75,1),(77,1),(112,1),(125,1),(130,1)}
       102:{1,4,5,6}:{(76,1),(77,1),(117,1),(126,1),(131,1)}
       103:{3,4,5,7}:{(77,1),(127,1),(130,1),(131,1),(188,1),(230,1)}
       104:{1,2,4}:{(78,1),(79,1),(132,1)}
       105:{2,3,4,5}:{(79,1),(85,1),(133,1),(134,1),(159,1)}
       106:{1,2,4}:{(80,1),(81,1),(135,1)}
       107:{1,3,4,5}:{(81,1),(89,1),(136,1),(137,1),(159,1)}
       108:{1,2,4,7}:{(82,1),(83,1),(84,1),(138,1),(139,1)}
       109:{2,3,5,7}:{(83,1),(85,1),(96,1),(139,1),(140,1),(155,1)}
       110:{1,3,4,6}:{(84,1),(99,1),(132,1),(138,1),(141,1),(189,1),(194,1),(196,1)}
       111:{1,2,5}:{(84,1),(85,1),(141,1)}
       112:{2,3,5,6}:{(85,1),(101,1),(134,1),(140,1),(142,1),(143,1),(160,1)}
       113:{1,2,4,7}:{(86,1),(87,1),(88,1),(144,1),(145,1)}
       114:{1,3,5,7}:{(87,1),(89,1),(97,1),(145,1),(146,1),(155,1)}
       115:{2,3,4,6}:{(88,1),(99,1),(135,1),(144,1),(147,1),(191,1),(199,1),(201,1)}
       116:{1,2,5}:{(88,1),(89,1),(147,1)}
       117:{1,3,5,6}:{(89,1),(102,1),(137,1),(146,1),(148,1),(149,1),(160,1)}
       118:{1,2,4,6,7}:{(90,1),(91,1),(92,1),(95,1),(150,1),(151,1),(156,1),(222,1),(224,1)}
       119:{2,5,7}:{(91,1),(93,1),(152,1)}
       120:{1,5,7}:{(92,1),(93,1),(153,1)}
       121:{3,5,6}:{(93,1),(94,1),(98,1),(152,1),(153,1)}
       122:{4,5,6,7}:{(94,1),(154,1),(226,1)}
       123:{3,4,7}:{(95,1),(99,1),(155,1)}
       124:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(100,1),(139,1),(145,1),(151,1),(155,1),(156,1),(193,1),(198,1),(203,1)}
       125:{2,4,6}:{(96,1),(98,1),(140,1),(152,1)}
       126:{1,4,6}:{(97,1),(98,1),(146,1),(153,1)}
       127:{3,4,6,7}:{(98,1),(103,1),(154,1),(157,1),(158,1),(207,1),(226,1)}
       128:{3,5}:{(99,1),(100,1)}
       129:{1,2,4,5,6}:{(100,1),(101,1),(102,1),(142,1),(148,1),(156,1),(160,1),(161,1),(196,1),(201,1),(221,1),(223,1),(225,1)}
       130:{2,4,5,7}:{(101,1),(103,1),(143,1),(157,1)}
       131:{1,4,5,7}:{(102,1),(103,1),(149,1),(158,1)}
       132:{1,3,4}:{(104,1),(162,1)}
       133:{1,2,4,5}:{(104,1),(105,1),(111,1),(162,1),(163,1),(171,1)}
       134:{2,3,4,6}:{(105,1),(112,1),(163,1),(164,1),(187,1)}
       135:{2,3,4}:{(106,1),(165,1)}
       136:{1,2,4,5}:{(106,1),(107,1),(116,1),(165,1),(166,1),(177,1)}
       137:{1,3,4,6}:{(107,1),(117,1),(166,1),(167,1),(187,1)}
       138:{1,3,4,7}:{(108,1),(110,1),(123,1),(168,1),(209,1),(213,1)}
       139:{1,2,5,7}:{(108,1),(109,1),(111,1),(168,1),(169,1)}
       140:{2,3,6}:{(109,1),(125,1),(169,1),(185,1)}
       141:{1,3,5}:{(110,1),(111,1),(128,1),(171,1)}
       142:{1,2,5,6}:{(111,1),(112,1),(163,1),(169,1),(172,1),(173,1)}
       143:{2,3,5,7}:{(112,1),(130,1),(164,1),(170,1),(173,1),(188,1)}
       144:{2,3,4,7}:{(113,1),(115,1),(123,1),(174,1),(210,1),(216,1)}
       145:{1,2,5,7}:{(113,1),(114,1),(116,1),(174,1),(175,1)}
       146:{1,3,6}:{(114,1),(126,1),(175,1),(185,1)}
       147:{2,3,5}:{(115,1),(116,1),(128,1),(177,1)}
       148:{1,2,5,6}:{(116,1),(117,1),(166,1),(175,1),(178,1),(179,1)}
       149:{1,3,5,7}:{(117,1),(131,1),(167,1),(176,1),(179,1),(188,1)}
       150:{3,4,6,7}:{(118,1),(123,1),(180,1),(185,1),(217,1)}
       151:{1,2,5,7}:{(118,1),(119,1),(120,1),(180,1),(181,1),(228,1),(229,1)}
       152:{2,5,6}:{(119,1),(121,1),(125,1)}
       153:{1,5,6}:{(120,1),(121,1),(126,1)}
       154:{3,5,6,7}:{(121,1),(122,1),(127,1),(182,1),(183,1)}
       155:{3,5,7}:{(123,1),(124,1),(128,1),(185,1)}
       156:{1,2,4,6}:{(124,1),(125,1),(126,1),(169,1),(175,1),(181,1),(185,1),(211,1),(214,1),(217,1)}
       157:{2,4,6,7}:{(125,1),(127,1),(130,1),(170,1),(182,1)}
       158:{1,4,6,7}:{(126,1),(127,1),(131,1),(176,1),(183,1)}
       159:{3,4,5}:{(128,1),(171,1),(177,1),(187,1)}
       160:{3,5,6}:{(128,1),(129,1),(185,1),(187,1),(188,1)}
       161:{1,2,4,5,7}:{(129,1),(130,1),(131,1),(173,1),(179,1),(186,1),(188,1),(213,1),(216,1),(228,1),(229,1),(230,1)}
       162:{1,3,5}:{(132,1),(133,1),(189,1)}
       163:{1,2,4,6}:{(133,1),(134,1),(142,1),(189,1),(190,1),(196,1)}
       164:{2,3,4,7}:{(134,1),(143,1),(190,1),(208,1)}
       165:{2,3,5}:{(135,1),(136,1),(191,1)}
       166:{1,2,4,6}:{(136,1),(137,1),(148,1),(191,1),(192,1),(201,1)}
       167:{1,3,4,7}:{(137,1),(149,1),(192,1),(208,1)}
       168:{1,3,5,7}:{(138,1),(139,1),(141,1),(155,1),(193,1),(194,1)}
       169:{1,2,6}:{(139,1),(140,1),(194,1)}
       170:{2,3,6,7}:{(140,1),(143,1),(157,1),(195,1),(207,1)}
       171:{1,4,5}:{(141,1),(159,1),(196,1)}
       172:{1,3,5,6}:{(141,1),(142,1),(160,1),(189,1),(194,1),(196,1),(197,1),(221,1)}
       173:{1,2,5,7}:{(142,1),(143,1),(190,1),(195,1),(197,1)}
       174:{2,3,5,7}:{(144,1),(145,1),(147,1),(155,1),(198,1),(199,1)}
       175:{1,2,6}:{(145,1),(146,1),(199,1)}
       176:{1,3,6,7}:{(146,1),(149,1),(158,1),(200,1),(207,1)}
       177:{2,4,5}:{(147,1),(159,1),(201,1)}
       178:{2,3,5,6}:{(147,1),(148,1),(160,1),(191,1),(199,1),(201,1),(202,1),(223,1)}
       179:{1,2,5,7}:{(148,1),(149,1),(192,1),(200,1),(202,1)}
       180:{3,5,7}:{(150,1),(151,1),(203,1),(204,1)}
       181:{1,2,5,6}:{(151,1),(152,1),(153,1),(156,1),(204,1),(221,1),(223,1)}
       182:{2,5,6,7}:{(152,1),(154,1),(157,1)}
       183:{1,5,6,7}:{(153,1),(154,1),(158,1)}
       184:{3,4,5,7}:{(155,1),(159,1),(193,1),(198,1),(203,1),(206,1),(208,1),(227,1)}
       185:{3,6}:{(155,1),(156,1)}
       186:{1,2,4,6,7}:{(156,1),(157,1),(158,1),(161,1),(195,1),(200,1),(205,1),(207,1),(222,1),(224,1),(226,1)}
       187:{3,4,6}:{(159,1),(160,1),(196,1),(201,1),(208,1)}
       188:{3,5,7}:{(160,1),(161,1),(207,1),(208,1)}
       189:{1,3,6}:{(162,1),(163,1),(209,1)}
       190:{1,2,4,7}:{(163,1),(164,1),(173,1),(209,1),(213,1)}
       191:{2,3,6}:{(165,1),(166,1),(210,1)}
       192:{1,2,4,7}:{(166,1),(167,1),(179,1),(210,1),(216,1)}
       193:{1,4,5,7}:{(168,1),(171,1),(184,1),(211,1),(213,1),(228,1)}
       194:{1,3,6}:{(168,1),(169,1),(185,1),(211,1)}
       195:{1,2,6,7}:{(169,1),(170,1),(173,1),(212,1)}
       196:{1,4,6}:{(171,1),(172,1),(187,1),(213,1)}
       197:{1,3,5,7}:{(172,1),(173,1),(188,1),(209,1),(212,1),(213,1),(228,1)}
       198:{2,4,5,7}:{(174,1),(177,1),(184,1),(214,1),(216,1),(229,1)}
       199:{2,3,6}:{(174,1),(175,1),(185,1),(214,1)}
       200:{1,2,6,7}:{(175,1),(176,1),(179,1),(215,1)}
       201:{2,4,6}:{(177,1),(178,1),(187,1),(216,1)}
       202:{2,3,5,7}:{(178,1),(179,1),(188,1),(210,1),(215,1),(216,1),(229,1)}
       203:{4,5,7}:{(180,1),(217,1)}
       204:{3,5,6}:{(180,1),(181,1),(185,1),(217,1)}
       205:{1,2,5,6,7}:{(181,1),(182,1),(183,1),(186,1),(218,1),(228,1),(229,1)}
       206:{3,4,6}:{(184,1),(185,1),(211,1),(214,1),(217,1),(219,1)}
       207:{3,6,7}:{(185,1),(186,1),(188,1)}
       208:{3,4,7}:{(187,1),(188,1),(213,1),(216,1)}
       209:{1,3,7}:{(189,1),(190,1)}
       210:{2,3,7}:{(191,1),(192,1)}
       211:{1,4,6}:{(193,1),(194,1),(206,1),(221,1)}
       212:{1,3,6,7}:{(194,1),(195,1),(197,1),(207,1),(222,1)}
       213:{1,4,7}:{(196,1),(197,1),(208,1)}
       214:{2,4,6}:{(198,1),(199,1),(206,1),(223,1)}
       215:{2,3,6,7}:{(199,1),(200,1),(202,1),(207,1),(224,1)}
       216:{2,4,7}:{(201,1),(202,1),(208,1)}
       217:{4,6}:{(203,1),(204,1)}
       218:{3,5,6,7}:{(204,1),(205,1),(207,1),(226,1),(227,1)}
       219:{3,5,6}:{(206,1),(221,1),(223,1),(225,1),(227,1)}
       220:{3,4,6,7}:{(206,1),(207,1),(208,1),(222,1),(224,1),(226,1),(227,1)}
       221:{1,5,6}:{(211,1),(219,1),(228,1)}
       222:{1,4,6,7}:{(211,1),(212,1),(213,1),(220,1),(228,1)}
       223:{2,5,6}:{(214,1),(219,1),(229,1)}
       224:{2,4,6,7}:{(214,1),(215,1),(216,1),(220,1),(229,1)}
       225:{4,5,6}:{(217,1),(219,1),(230,1)}
       226:{4,6,7}:{(217,1),(218,1),(230,1)}
       227:{3,5,7}:{(219,1),(220,1),(228,1),(229,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(227,1)}
       229:{2,5,7}:{(223,1),(224,1),(227,1)}
       230:{4,5,7}:{(225,1),(226,1),(227,1)}

 890 :   0:{1,2,5,6,7}:{(1,1),(2,1),(30,1),(31,1),(59,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(17,1),(75,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(19,1),(23,1),(74,1)}
         3:{1,2,4,5,6}:{(5,1),(7,1),(16,1),(25,1),(26,1),(27,1),(42,1),(43,1),(53,1),(74,1),(97,1),(103,1),(104,1)}
         4:{4,6,7}:{(1,1),(8,1),(88,1)}
         5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(10,1),(30,1),(31,1),(33,1),(34,1),(35,1)}
         6:{3,6,7}:{(2,1),(10,1),(87,1)}
         7:{3,5,6}:{(3,1),(10,1),(13,1),(69,1),(87,1),(102,1)}
         8:{4,5,7}:{(4,1),(16,1),(17,1),(79,1),(97,1)}
         9:{3,4,6,7}:{(4,1),(6,1),(17,1),(18,1),(19,1),(20,1),(41,1),(47,1),(79,1),(96,1)}
        10:{3,5,7}:{(5,1),(6,1),(7,1),(20,1)}
        11:{1,3,6,7}:{(6,1),(18,1),(21,1),(23,1),(47,1),(72,1),(95,1)}
        12:{2,3,6,7}:{(6,1),(19,1),(22,1),(23,1),(47,1),(73,1),(94,1)}
        13:{3,4,6}:{(7,1),(20,1),(24,1),(25,1),(26,1),(56,1),(84,1)}
        14:{1,3,5,6}:{(7,1),(21,1),(25,1),(27,1),(42,1),(51,1),(56,1),(72,1),(75,1),(83,1),(95,1),(104,1)}
        15:{2,3,5,6}:{(7,1),(22,1),(26,1),(27,1),(43,1),(52,1),(56,1),(73,1),(75,1),(82,1),(94,1),(103,1)}
        16:{4,5,6}:{(8,1),(28,1),(88,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(30,1),(31,1),(102,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(30,1),(33,1),(57,1),(101,1)}
        19:{2,4,6,7}:{(9,1),(12,1),(31,1),(34,1),(58,1),(100,1)}
        20:{3,4,7}:{(10,1),(13,1),(33,1),(34,1),(66,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(14,1),(30,1),(33,1),(35,1),(63,1),(66,1)}
        22:{2,3,5,7}:{(10,1),(12,1),(15,1),(31,1),(34,1),(35,1),(63,1),(66,1)}
        23:{1,2,6,7}:{(11,1),(12,1),(35,1),(85,1),(86,1)}
        24:{3,4,5}:{(13,1),(36,1),(37,1),(69,1),(102,1)}
        25:{1,4,6}:{(13,1),(14,1),(33,1),(36,1),(88,1),(93,1)}
        26:{2,4,6}:{(13,1),(15,1),(34,1),(37,1),(88,1),(92,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(35,1),(40,1),(67,1),(68,1),(85,1),(86,1)}
        28:{3,5,6}:{(16,1),(17,1),(41,1),(42,1),(43,1)}
        29:{3,4,5,7}:{(17,1),(20,1),(24,1),(41,1),(44,1),(45,1),(78,1),(79,1),(97,1)}
        30:{1,5,7}:{(17,1),(18,1),(42,1),(104,1)}
        31:{2,5,7}:{(17,1),(19,1),(43,1),(103,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(23,1),(46,1),(47,1),(50,1),(74,1),(79,1)}
        33:{1,4,7}:{(20,1),(21,1),(25,1),(79,1)}
        34:{2,4,7}:{(20,1),(22,1),(26,1),(79,1)}
        35:{1,2,5,7}:{(21,1),(22,1),(23,1),(27,1),(50,1)}
        36:{1,4,5}:{(24,1),(25,1),(51,1),(97,1),(104,1)}
        37:{2,4,5}:{(24,1),(26,1),(52,1),(97,1),(103,1)}
        38:{1,3,4,6}:{(25,1),(48,1),(51,1),(54,1),(56,1),(72,1),(84,1),(96,1)}
        39:{2,3,4,6}:{(26,1),(49,1),(52,1),(55,1),(56,1),(73,1),(84,1),(96,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(50,1),(53,1),(56,1)}
        41:{3,4,6}:{(28,1),(29,1),(57,1),(58,1),(87,1),(88,1)}
        42:{1,5,6}:{(28,1),(30,1),(57,1)}
        43:{2,5,6}:{(28,1),(31,1),(58,1)}
        44:{1,4,5,7}:{(29,1),(30,1),(33,1),(36,1),(57,1),(60,1)}
        45:{2,4,5,7}:{(29,1),(31,1),(34,1),(37,1),(58,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(32,1),(59,1),(63,1)}
        47:{3,6,7}:{(32,1),(63,1),(66,1),(87,1)}
        48:{1,3,4,7}:{(33,1),(38,1),(60,1),(64,1),(66,1),(91,1)}
        49:{2,3,4,7}:{(34,1),(39,1),(61,1),(65,1),(66,1),(91,1)}
        50:{1,2,4,7}:{(33,1),(34,1),(35,1),(40,1),(66,1)}
        51:{1,3,5}:{(36,1),(38,1),(67,1),(69,1),(102,1)}
        52:{2,3,5}:{(37,1),(39,1),(68,1),(69,1),(102,1)}
        53:{1,2,4,5}:{(36,1),(37,1),(40,1),(67,1),(68,1),(69,1),(92,1),(93,1)}
        54:{1,2,4,6}:{(38,1),(64,1),(67,1),(70,1),(85,1),(92,1),(100,1)}
        55:{1,2,4,6}:{(39,1),(65,1),(68,1),(71,1),(86,1),(93,1),(101,1)}
        56:{3,6}:{(40,1),(66,1),(69,1)}
        57:{1,4,6}:{(41,1),(42,1),(44,1),(72,1)}
        58:{2,4,6}:{(41,1),(43,1),(45,1),(73,1)}
        59:{1,2,5,6}:{(42,1),(43,1),(46,1),(74,1),(75,1),(103,1),(104,1)}
        60:{1,3,5,7}:{(44,1),(48,1),(51,1),(72,1),(76,1),(78,1)}
        61:{2,3,5,7}:{(45,1),(49,1),(52,1),(73,1),(77,1),(78,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(53,1),(74,1),(76,1),(77,1),(78,1),(79,1),(97,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5,7}:{(46,1),(47,1),(75,1),(79,1)}
        64:{1,2,4,7}:{(48,1),(54,1),(76,1),(80,1),(98,1)}
        65:{1,2,4,7}:{(49,1),(55,1),(77,1),(81,1),(99,1)}
        66:{3,7}:{(50,1),(56,1)}
        67:{1,2,5}:{(51,1),(54,1),(82,1),(103,1)}
        68:{1,2,5}:{(52,1),(55,1),(83,1),(104,1)}
        69:{3,5}:{(53,1),(56,1),(84,1)}
        70:{2,3,6}:{(54,1),(56,1),(80,1),(82,1)}
        71:{1,3,6}:{(55,1),(56,1),(81,1),(83,1)}
        72:{1,3,6}:{(57,1),(60,1),(85,1),(87,1)}
        73:{2,3,6}:{(58,1),(61,1),(86,1),(87,1)}
        74:{1,2,4,6}:{(57,1),(58,1),(59,1),(62,1),(85,1),(86,1),(87,1),(88,1),(100,1),(101,1)}
        75:{3,5,6}:{(59,1),(63,1),(87,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(60,1),(64,1),(67,1),(85,1),(89,1)}
        77:{1,2,5,7}:{(61,1),(65,1),(68,1),(86,1),(90,1)}
        78:{3,5,7}:{(62,1),(66,1),(69,1),(87,1),(91,1),(102,1)}
        79:{4,7}:{(63,1),(88,1)}
        80:{2,3,7}:{(64,1),(66,1),(70,1)}
        81:{1,3,7}:{(65,1),(66,1),(71,1)}
        82:{2,3,5}:{(67,1),(69,1),(70,1),(92,1)}
        83:{1,3,5}:{(68,1),(69,1),(71,1),(93,1)}
        84:{3,4}:{(69,1),(92,1),(93,1)}
        85:{1,2,6}:{(72,1),(76,1),(94,1)}
        86:{1,2,6}:{(73,1),(77,1),(95,1)}
        87:{3,6}:{(74,1),(78,1)}
        88:{4,6}:{(75,1),(79,1),(97,1)}
        89:{2,3,5,7}:{(76,1),(78,1),(80,1),(82,1),(94,1),(98,1),(103,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(81,1),(83,1),(95,1),(99,1),(104,1)}
        91:{3,4,7}:{(78,1),(79,1),(84,1),(96,1),(98,1),(99,1)}
        92:{2,4}:{(82,1),(84,1)}
        93:{1,4}:{(83,1),(84,1)}
        94:{2,3,6}:{(85,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(86,1),(87,1),(90,1),(101,1)}
        96:{3,4,6}:{(87,1),(88,1),(91,1),(100,1),(101,1),(102,1)}
        97:{4,5}:{(88,1),(102,1)}
        98:{2,4,7}:{(89,1),(91,1),(92,1),(100,1)}
        99:{1,4,7}:{(90,1),(91,1),(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(96,1),(98,1),(103,1)}
       101:{1,4,6}:{(95,1),(96,1),(99,1),(104,1)}
       102:{3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{1,5}:{(101,1),(102,1)}

 891 :  0:{3,4,5}:{(4,1),(5,1),(6,1),(30,1),(70,1)}
        1:{2,3,4}:{(7,1),(8,1),(44,1)}
        2:{1,3,4}:{(9,1),(10,1),(44,1)}
        3:{4,5,6}:{(11,1),(12,1),(61,1),(83,1)}
        4:{3,4,6}:{(0,1),(11,1),(13,1),(14,1),(15,1),(42,1),(61,1)}
        5:{1,4,5}:{(0,1),(9,1),(13,1)}
        6:{2,4,5}:{(0,1),(7,1),(14,1)}
        7:{2,3,5}:{(1,1),(6,1),(17,1),(18,1),(30,1)}
        8:{1,2,4}:{(1,1),(18,1),(19,1),(47,1)}
        9:{1,3,5}:{(2,1),(5,1),(20,1),(21,1),(30,1)}
       10:{1,2,4}:{(2,1),(21,1),(22,1),(50,1)}
       11:{3,5,6}:{(3,1),(4,1),(23,1),(24,1),(25,1)}
       12:{4,5,7}:{(3,1),(25,1),(26,1),(71,1),(82,1)}
       13:{1,4,6}:{(4,1),(5,1),(20,1),(23,1),(28,1)}
       14:{2,4,6}:{(4,1),(6,1),(17,1),(24,1),(29,1)}
       15:{3,4,7}:{(4,1),(25,1),(28,1),(29,1),(56,1),(71,1)}
       16:{1,2,4,5}:{(5,1),(6,1),(18,1),(21,1),(27,1),(30,1),(47,1),(50,1),(66,1),(68,1),(70,1)}
       17:{2,3,6}:{(7,1),(14,1),(31,1),(32,1),(42,1)}
       18:{1,2,5}:{(7,1),(8,1),(31,1),(33,1)}
       19:{1,3}:{(8,1)}
       20:{1,3,6}:{(9,1),(13,1),(34,1),(35,1),(42,1)}
       21:{1,2,5}:{(9,1),(10,1),(34,1),(36,1)}
       22:{2,3}:{(10,1)}
       23:{1,5,6}:{(11,1),(13,1),(38,1)}
       24:{2,5,6}:{(11,1),(14,1),(39,1)}
       25:{3,5,7}:{(11,1),(12,1),(15,1),(38,1),(39,1),(40,1)}
       26:{4,6,7}:{(12,1),(40,1),(41,1)}
       27:{1,2,4,6}:{(13,1),(14,1),(16,1),(31,1),(34,1),(37,1),(42,1),(43,1),(57,1),(59,1),(61,1)}
       28:{1,4,7}:{(13,1),(15,1),(35,1),(38,1)}
       29:{2,4,7}:{(14,1),(15,1),(32,1),(39,1)}
       30:{3,5}:{(16,1),(42,1),(44,1)}
       31:{1,2,6}:{(17,1),(18,1),(45,1),(46,1)}
       32:{2,3,7}:{(17,1),(29,1),(46,1),(56,1)}
       33:{1,3,5}:{(18,1),(19,1),(30,1),(45,1),(47,1),(66,1)}
       34:{1,2,6}:{(20,1),(21,1),(48,1),(49,1)}
       35:{1,3,7}:{(20,1),(28,1),(49,1),(56,1)}
       36:{2,3,5}:{(21,1),(22,1),(30,1),(48,1),(50,1),(68,1)}
       37:{1,2,5,6}:{(23,1),(24,1),(27,1),(51,1),(52,1),(66,1),(68,1),(79,1),(80,1)}
       38:{1,5,7}:{(23,1),(25,1),(28,1),(53,1)}
       39:{2,5,7}:{(24,1),(25,1),(29,1),(54,1)}
       40:{3,6,7}:{(25,1),(26,1),(53,1),(54,1)}
       41:{5,6,7}:{(26,1),(82,1)}
       42:{3,6}:{(27,1),(30,1),(56,1)}
       43:{1,2,4,7}:{(27,1),(28,1),(29,1),(46,1),(49,1),(52,1),(56,1),(67,1),(69,1),(71,1)}
       44:{3,4}:{(30,1),(47,1),(50,1)}
       45:{1,3,6}:{(31,1),(33,1),(42,1),(57,1),(58,1)}
       46:{1,2,7}:{(31,1),(32,1),(58,1)}
       47:{1,4}:{(33,1),(44,1)}
       48:{2,3,6}:{(34,1),(36,1),(42,1),(59,1),(60,1)}
       49:{1,2,7}:{(34,1),(35,1),(60,1)}
       50:{2,4}:{(36,1),(44,1)}
       51:{3,5,6}:{(37,1),(42,1),(61,1),(62,1),(64,1),(78,1),(83,1)}
       52:{1,2,5,7}:{(37,1),(38,1),(39,1),(43,1),(62,1),(63,1),(74,1),(75,1)}
       53:{1,6,7}:{(38,1),(40,1)}
       54:{2,6,7}:{(39,1),(40,1)}
       55:{3,4,6}:{(42,1),(44,1),(57,1),(59,1),(61,1),(64,1),(65,1),(78,1)}
       56:{3,7}:{(42,1),(43,1)}
       57:{1,4,6}:{(45,1),(47,1),(55,1),(66,1),(67,1),(79,1)}
       58:{1,3,7}:{(45,1),(46,1),(56,1),(67,1)}
       59:{2,4,6}:{(48,1),(50,1),(55,1),(68,1),(69,1),(80,1)}
       60:{2,3,7}:{(48,1),(49,1),(56,1),(69,1)}
       61:{4,6}:{(51,1),(70,1),(71,1)}
       62:{3,5,7}:{(51,1),(52,1),(56,1),(71,1),(72,1),(82,1)}
       63:{1,2,6,7}:{(52,1),(53,1),(54,1),(72,1),(79,1),(80,1)}
       64:{3,5}:{(55,1),(66,1),(68,1),(70,1)}
       65:{3,4,7}:{(55,1),(56,1),(67,1),(69,1),(71,1),(73,1)}
       66:{1,5}:{(57,1),(64,1)}
       67:{1,4,7}:{(57,1),(58,1),(65,1),(74,1)}
       68:{2,5}:{(59,1),(64,1)}
       69:{2,4,7}:{(59,1),(60,1),(65,1),(75,1)}
       70:{4,5}:{(61,1),(64,1)}
       71:{4,7}:{(61,1),(62,1)}
       72:{3,6,7}:{(62,1),(63,1),(77,1),(78,1)}
       73:{3,5,7}:{(64,1),(65,1),(74,1),(75,1),(76,1),(78,1)}
       74:{1,5,7}:{(66,1),(67,1),(73,1),(79,1)}
       75:{2,5,7}:{(68,1),(69,1),(73,1),(80,1)}
       76:{4,5,7}:{(70,1),(71,1),(73,1),(81,1),(82,1)}
       77:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       78:{3,6}:{(73,1),(79,1),(80,1),(81,1)}
       79:{1,6}:{(74,1),(78,1)}
       80:{2,6}:{(75,1),(78,1)}
       81:{4,6}:{(76,1),(78,1),(83,1)}
       82:{5,7}:{(77,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 892 :  0:{4,5,6}:{(2,1),(3,1),(48,1),(81,1)}
        1:{5,6,7}:{(6,1),(76,1)}
        2:{4,5,7}:{(0,1),(6,1),(7,1),(59,1),(76,1)}
        3:{3,5,6}:{(0,1),(5,1),(7,1),(8,1),(9,1)}
        4:{3,4,5}:{(5,1),(10,1),(11,1),(37,1),(60,1)}
        5:{3,4,6}:{(3,1),(4,1),(14,1),(15,1),(16,1),(45,1),(48,1)}
        6:{4,6,7}:{(1,1),(2,1),(17,1)}
        7:{3,5,7}:{(2,1),(3,1),(14,1),(17,1),(18,1),(19,1)}
        8:{1,5,6}:{(3,1),(15,1),(18,1)}
        9:{2,5,6}:{(3,1),(16,1),(19,1)}
       10:{1,4,5}:{(4,1),(15,1),(21,1)}
       11:{2,4,5}:{(4,1),(16,1),(22,1)}
       12:{1,3,4}:{(21,1),(24,1),(51,1)}
       13:{2,3,4}:{(22,1),(25,1),(51,1)}
       14:{3,4,7}:{(5,1),(7,1),(28,1),(29,1),(56,1),(59,1)}
       15:{1,4,6}:{(5,1),(8,1),(10,1),(26,1),(28,1)}
       16:{2,4,6}:{(5,1),(9,1),(11,1),(27,1),(29,1)}
       17:{3,6,7}:{(6,1),(7,1),(31,1),(32,1)}
       18:{1,5,7}:{(7,1),(8,1),(28,1),(31,1)}
       19:{2,5,7}:{(7,1),(9,1),(29,1),(32,1)}
       20:{1,2,5,6}:{(8,1),(9,1),(30,1),(33,1),(34,1),(72,1),(74,1),(82,1),(83,1)}
       21:{1,3,5}:{(10,1),(12,1),(26,1),(35,1),(37,1)}
       22:{2,3,5}:{(11,1),(13,1),(27,1),(36,1),(37,1)}
       23:{1,2,4,5}:{(10,1),(11,1),(30,1),(35,1),(36,1),(37,1),(60,1),(61,1),(62,1),(72,1),(74,1)}
       24:{1,2,4}:{(12,1),(35,1),(38,1),(61,1)}
       25:{1,2,4}:{(13,1),(36,1),(39,1),(62,1)}
       26:{1,3,6}:{(15,1),(21,1),(40,1),(41,1),(45,1)}
       27:{2,3,6}:{(16,1),(22,1),(42,1),(43,1),(45,1)}
       28:{1,4,7}:{(14,1),(15,1),(18,1),(40,1)}
       29:{2,4,7}:{(14,1),(16,1),(19,1),(42,1)}
       30:{1,2,4,6}:{(15,1),(16,1),(20,1),(23,1),(41,1),(43,1),(44,1),(45,1),(48,1),(64,1),(66,1)}
       31:{1,6,7}:{(17,1),(18,1)}
       32:{2,6,7}:{(17,1),(19,1)}
       33:{1,2,5,7}:{(18,1),(19,1),(20,1),(44,1),(46,1),(47,1),(78,1),(79,1)}
       34:{3,5,6}:{(20,1),(45,1),(47,1),(48,1),(68,1),(80,1),(81,1)}
       35:{1,2,5}:{(21,1),(24,1),(41,1),(49,1)}
       36:{1,2,5}:{(22,1),(25,1),(43,1),(50,1)}
       37:{3,5}:{(23,1),(45,1),(51,1)}
       38:{2,3}:{(24,1)}
       39:{1,3}:{(25,1)}
       40:{1,3,7}:{(26,1),(28,1),(52,1),(56,1)}
       41:{1,2,6}:{(26,1),(35,1),(52,1),(53,1)}
       42:{2,3,7}:{(27,1),(29,1),(54,1),(56,1)}
       43:{1,2,6}:{(27,1),(36,1),(54,1),(55,1)}
       44:{1,2,4,7}:{(28,1),(29,1),(30,1),(33,1),(52,1),(54,1),(56,1),(59,1),(71,1),(73,1)}
       45:{3,6}:{(30,1),(37,1),(56,1)}
       46:{1,2,6,7}:{(31,1),(32,1),(33,1),(58,1),(82,1),(83,1)}
       47:{3,5,7}:{(33,1),(34,1),(56,1),(58,1),(59,1),(76,1)}
       48:{4,6}:{(34,1),(59,1),(60,1)}
       49:{2,3,5}:{(35,1),(37,1),(38,1),(53,1),(61,1),(72,1)}
       50:{1,3,5}:{(36,1),(37,1),(39,1),(55,1),(62,1),(74,1)}
       51:{3,4}:{(37,1),(61,1),(62,1)}
       52:{1,2,7}:{(40,1),(41,1),(63,1)}
       53:{2,3,6}:{(41,1),(45,1),(49,1),(63,1),(64,1)}
       54:{1,2,7}:{(42,1),(43,1),(65,1)}
       55:{1,3,6}:{(43,1),(45,1),(50,1),(65,1),(66,1)}
       56:{3,7}:{(44,1),(45,1)}
       57:{3,4,6}:{(45,1),(48,1),(51,1),(64,1),(66,1),(67,1),(68,1),(80,1)}
       58:{3,6,7}:{(46,1),(47,1),(69,1),(80,1)}
       59:{4,7}:{(47,1),(48,1)}
       60:{4,5}:{(48,1),(68,1)}
       61:{2,4}:{(49,1),(51,1)}
       62:{1,4}:{(50,1),(51,1)}
       63:{2,3,7}:{(52,1),(53,1),(56,1),(71,1)}
       64:{2,4,6}:{(53,1),(57,1),(61,1),(71,1),(72,1),(82,1)}
       65:{1,3,7}:{(54,1),(55,1),(56,1),(73,1)}
       66:{1,4,6}:{(55,1),(57,1),(62,1),(73,1),(74,1),(83,1)}
       67:{3,4,7}:{(56,1),(57,1),(59,1),(71,1),(73,1),(75,1)}
       68:{3,5}:{(57,1),(60,1),(72,1),(74,1)}
       69:{4,6,7}:{(58,1),(59,1),(76,1),(77,1)}
       70:{4,5,7}:{(59,1),(60,1),(75,1),(76,1),(77,1)}
       71:{2,4,7}:{(63,1),(64,1),(67,1),(78,1)}
       72:{2,5}:{(64,1),(68,1)}
       73:{1,4,7}:{(65,1),(66,1),(67,1),(79,1)}
       74:{1,5}:{(66,1),(68,1)}
       75:{3,5,7}:{(67,1),(68,1),(70,1),(78,1),(79,1),(80,1)}
       76:{5,7}:{(69,1),(81,1)}
       77:{4,6}:{(70,1),(80,1),(81,1)}
       78:{2,5,7}:{(71,1),(72,1),(75,1),(82,1)}
       79:{1,5,7}:{(73,1),(74,1),(75,1),(83,1)}
       80:{3,6}:{(75,1),(77,1),(82,1),(83,1)}
       81:{5,6}:{(76,1),(77,1)}
       82:{2,6}:{(78,1),(80,1)}
       83:{1,6}:{(79,1),(80,1)}

 893 :  0:{5,6,7}:{(1,1),(58,1)}
        1:{4,6,7}:{(0,1),(3,1),(4,1)}
        2:{4,5,6}:{(3,1),(5,1),(50,1),(69,1)}
        3:{4,5,7}:{(1,1),(2,1),(7,1),(57,1),(58,1)}
        4:{3,6,7}:{(1,1),(7,1),(8,1),(9,1)}
        5:{3,5,6}:{(2,1),(7,1),(10,1),(11,1),(12,1)}
        6:{3,4,5}:{(10,1),(13,1),(14,1),(39,1),(62,1)}
        7:{3,5,7}:{(3,1),(4,1),(5,1),(17,1),(18,1),(19,1)}
        8:{1,6,7}:{(4,1),(18,1)}
        9:{2,6,7}:{(4,1),(19,1)}
       10:{3,4,6}:{(5,1),(6,1),(17,1),(21,1),(22,1),(49,1),(50,1)}
       11:{1,5,6}:{(5,1),(18,1),(21,1)}
       12:{2,5,6}:{(5,1),(19,1),(22,1)}
       13:{1,4,5}:{(6,1),(21,1),(24,1)}
       14:{2,4,5}:{(6,1),(22,1),(25,1)}
       15:{1,3,4}:{(24,1),(27,1),(53,1)}
       16:{2,3,4}:{(25,1),(28,1),(53,1)}
       17:{3,4,7}:{(7,1),(10,1),(29,1),(30,1),(56,1),(57,1)}
       18:{1,5,7}:{(7,1),(8,1),(11,1),(29,1)}
       19:{2,5,7}:{(7,1),(9,1),(12,1),(30,1)}
       20:{1,2,6,7}:{(8,1),(9,1),(31,1),(32,1),(82,1),(83,1)}
       21:{1,4,6}:{(10,1),(11,1),(13,1),(29,1),(33,1)}
       22:{2,4,6}:{(10,1),(12,1),(14,1),(30,1),(34,1)}
       23:{1,2,5,6}:{(11,1),(12,1),(31,1),(35,1),(36,1),(77,1),(78,1),(82,1),(83,1)}
       24:{1,3,5}:{(13,1),(15,1),(33,1),(37,1),(39,1)}
       25:{2,3,5}:{(14,1),(16,1),(34,1),(38,1),(39,1)}
       26:{1,2,4,5}:{(13,1),(14,1),(35,1),(37,1),(38,1),(39,1),(62,1),(63,1),(64,1),(77,1),(78,1)}
       27:{1,2,4}:{(15,1),(37,1),(40,1),(63,1)}
       28:{1,2,4}:{(16,1),(38,1),(41,1),(64,1)}
       29:{1,4,7}:{(17,1),(18,1),(21,1),(42,1)}
       30:{2,4,7}:{(17,1),(19,1),(22,1),(43,1)}
       31:{1,2,5,7}:{(18,1),(19,1),(20,1),(23,1),(44,1),(45,1),(79,1),(80,1)}
       32:{3,6,7}:{(20,1),(45,1),(46,1),(81,1)}
       33:{1,3,6}:{(21,1),(24,1),(42,1),(47,1),(49,1)}
       34:{2,3,6}:{(22,1),(25,1),(43,1),(48,1),(49,1)}
       35:{1,2,4,6}:{(21,1),(22,1),(23,1),(26,1),(44,1),(47,1),(48,1),(49,1),(50,1),(70,1),(71,1)}
       36:{3,5,6}:{(23,1),(45,1),(49,1),(50,1),(69,1),(72,1),(81,1)}
       37:{1,2,5}:{(24,1),(27,1),(47,1),(51,1)}
       38:{1,2,5}:{(25,1),(28,1),(48,1),(52,1)}
       39:{3,5}:{(26,1),(49,1),(53,1)}
       40:{2,3}:{(27,1)}
       41:{1,3}:{(28,1)}
       42:{1,3,7}:{(29,1),(33,1),(54,1),(56,1)}
       43:{2,3,7}:{(30,1),(34,1),(55,1),(56,1)}
       44:{1,2,4,7}:{(29,1),(30,1),(31,1),(35,1),(54,1),(55,1),(56,1),(57,1),(73,1),(74,1)}
       45:{3,5,7}:{(31,1),(32,1),(36,1),(56,1),(57,1),(58,1)}
       46:{4,6,7}:{(32,1),(57,1),(58,1),(76,1)}
       47:{1,2,6}:{(33,1),(37,1),(54,1),(59,1)}
       48:{1,2,6}:{(34,1),(38,1),(55,1),(60,1)}
       49:{3,6}:{(35,1),(39,1),(56,1)}
       50:{4,6}:{(36,1),(57,1),(62,1)}
       51:{2,3,5}:{(37,1),(39,1),(40,1),(59,1),(63,1),(77,1)}
       52:{1,3,5}:{(38,1),(39,1),(41,1),(60,1),(64,1),(78,1)}
       53:{3,4}:{(39,1),(63,1),(64,1)}
       54:{1,2,7}:{(42,1),(47,1),(65,1)}
       55:{1,2,7}:{(43,1),(48,1),(66,1)}
       56:{3,7}:{(44,1),(49,1)}
       57:{4,7}:{(45,1),(50,1)}
       58:{5,7}:{(46,1),(69,1)}
       59:{2,3,6}:{(47,1),(49,1),(51,1),(65,1),(70,1)}
       60:{1,3,6}:{(48,1),(49,1),(52,1),(66,1),(71,1)}
       61:{3,4,6}:{(49,1),(50,1),(53,1),(67,1),(70,1),(71,1),(72,1),(81,1)}
       62:{4,5}:{(50,1),(72,1)}
       63:{2,4}:{(51,1),(53,1)}
       64:{1,4}:{(52,1),(53,1)}
       65:{2,3,7}:{(54,1),(56,1),(59,1),(73,1)}
       66:{1,3,7}:{(55,1),(56,1),(60,1),(74,1)}
       67:{3,4,7}:{(56,1),(57,1),(61,1),(73,1),(74,1),(75,1)}
       68:{4,5,7}:{(57,1),(58,1),(62,1),(75,1),(76,1)}
       69:{5,6}:{(58,1),(76,1)}
       70:{2,4,6}:{(59,1),(61,1),(63,1),(73,1),(77,1),(82,1)}
       71:{1,4,6}:{(60,1),(61,1),(64,1),(74,1),(78,1),(83,1)}
       72:{3,5}:{(61,1),(62,1),(77,1),(78,1)}
       73:{2,4,7}:{(65,1),(67,1),(70,1),(79,1)}
       74:{1,4,7}:{(66,1),(67,1),(71,1),(80,1)}
       75:{3,5,7}:{(67,1),(68,1),(72,1),(79,1),(80,1),(81,1)}
       76:{4,6}:{(68,1),(69,1),(81,1)}
       77:{2,5}:{(70,1),(72,1)}
       78:{1,5}:{(71,1),(72,1)}
       79:{2,5,7}:{(73,1),(75,1),(77,1),(82,1)}
       80:{1,5,7}:{(74,1),(75,1),(78,1),(83,1)}
       81:{3,6}:{(75,1),(76,1),(82,1),(83,1)}
       82:{2,6}:{(79,1),(81,1)}
       83:{1,6}:{(80,1),(81,1)}

 894 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(33,1),(60,1)}
         1:{1,2,3,5}:{(0,1),(5,1),(6,1),(17,1),(20,1),(45,1)}
         2:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(23,1)}
         3:{1,2,3,7}:{(0,1),(7,1),(48,1),(75,1)}
         4:{3,4,6}:{(2,1),(8,1),(9,1),(10,1),(26,1),(29,1),(33,1)}
         5:{1,2,4}:{(1,1),(10,1)}
         6:{1,2,5}:{(2,1),(8,1)}
         7:{1,2,4,7}:{(2,1),(3,1),(9,1),(13,1)}
         8:{3,5}:{(4,1),(6,1),(14,1)}
         9:{3,4,7}:{(4,1),(7,1),(16,1),(42,1),(48,1)}
        10:{3,4}:{(5,1),(20,1)}
        11:{1,2,4,5}:{(5,1),(6,1),(14,1),(20,1),(21,1),(39,1),(40,1),(45,1)}
        12:{1,2,5,6}:{(6,1),(15,1),(21,1),(22,1),(23,1),(66,1),(67,1)}
        13:{1,2,5,7}:{(6,1),(7,1),(16,1),(23,1)}
        14:{4,5}:{(8,1),(26,1)}
        15:{3,5,6}:{(8,1),(12,1),(26,1),(28,1),(29,1),(33,1),(59,1)}
        16:{3,5,7}:{(8,1),(9,1),(13,1),(27,1),(29,1)}
        17:{1,2,3}:{(30,1)}
        18:{2,3,4}:{(10,1),(30,1),(31,1),(53,1)}
        19:{1,3,4}:{(10,1),(30,1),(32,1),(53,1)}
        20:{3,5}:{(10,1),(11,1),(33,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(26,1),(33,1),(34,1),(55,1),(56,1),(60,1)}
        22:{1,2,5,7}:{(12,1),(28,1),(34,1),(35,1),(80,1),(81,1)}
        23:{1,2,6}:{(13,1),(29,1)}
        24:{1,2,3,5}:{(17,1),(36,1),(38,1),(45,1),(64,1),(70,1)}
        25:{3,4,5}:{(14,1),(20,1),(39,1),(40,1),(41,1),(70,1),(86,1)}
        26:{4,6}:{(14,1),(15,1),(42,1)}
        27:{4,5,7}:{(14,1),(16,1),(42,1),(43,1),(74,1)}
        28:{3,5,7}:{(15,1),(22,1),(42,1),(44,1),(48,1),(74,1)}
        29:{3,6}:{(16,1),(23,1),(43,1)}
        30:{1,2,4}:{(17,1),(18,1),(19,1),(45,1)}
        31:{2,3,5}:{(18,1),(20,1),(39,1),(45,1),(46,1),(70,1)}
        32:{1,3,5}:{(19,1),(20,1),(40,1),(45,1),(47,1),(70,1)}
        33:{3,6}:{(20,1),(21,1),(48,1)}
        34:{1,2,4,7}:{(21,1),(22,1),(42,1),(48,1),(72,1),(73,1),(75,1)}
        35:{1,2,6,7}:{(22,1),(23,1),(44,1),(91,1),(92,1)}
        36:{1,2,3,6}:{(24,1),(49,1),(50,1),(60,1),(84,1)}
        37:{4,5,6}:{(26,1),(51,1),(52,1),(59,1),(94,1),(103,1)}
        38:{1,2,4}:{(24,1),(53,1)}
        39:{2,4,5}:{(25,1),(31,1),(55,1)}
        40:{1,4,5}:{(25,1),(32,1),(56,1)}
        41:{3,4,6}:{(25,1),(26,1),(33,1),(51,1),(55,1),(56,1),(57,1),(84,1),(94,1)}
        42:{4,7}:{(26,1),(28,1)}
        43:{4,6}:{(27,1),(29,1),(59,1)}
        44:{3,6,7}:{(28,1),(29,1),(35,1),(58,1)}
        45:{1,2,5}:{(30,1),(31,1),(32,1),(60,1)}
        46:{2,3,6}:{(31,1),(33,1),(55,1),(60,1),(61,1),(84,1)}
        47:{1,3,6}:{(32,1),(33,1),(56,1),(60,1),(62,1),(84,1)}
        48:{3,7}:{(33,1),(34,1)}
        49:{1,2,4,6}:{(36,1),(38,1),(63,1),(64,1),(65,1),(90,1)}
        50:{1,2,3,7}:{(36,1),(65,1),(75,1),(93,1)}
        51:{3,5,6}:{(37,1),(41,1),(66,1),(67,1),(68,1)}
        52:{4,5,7}:{(37,1),(42,1),(68,1),(69,1),(74,1),(99,1),(104,1)}
        53:{3,4}:{(38,1),(70,1)}
        54:{1,2,4,5}:{(38,1),(39,1),(40,1),(45,1),(64,1),(70,1),(71,1),(86,1)}
        55:{2,4,6}:{(39,1),(41,1),(46,1),(66,1),(72,1)}
        56:{1,4,6}:{(40,1),(41,1),(47,1),(67,1),(73,1)}
        57:{3,4,7}:{(41,1),(42,1),(48,1),(68,1),(72,1),(73,1),(93,1),(99,1)}
        58:{4,6,7}:{(42,1),(43,1),(44,1),(74,1)}
        59:{5,6}:{(43,1),(74,1)}
        60:{1,2,6}:{(45,1),(46,1),(47,1),(75,1)}
        61:{2,3,7}:{(46,1),(48,1),(72,1),(75,1),(93,1)}
        62:{1,3,7}:{(47,1),(48,1),(73,1),(75,1),(93,1)}
        63:{3,4,6}:{(49,1),(53,1),(76,1),(77,1),(84,1),(94,1),(97,1)}
        64:{1,2,5}:{(49,1),(76,1)}
        65:{1,2,4,7}:{(49,1),(50,1),(77,1),(79,1)}
        66:{2,5,6}:{(51,1),(55,1),(80,1)}
        67:{1,5,6}:{(51,1),(56,1),(81,1)}
        68:{3,5,7}:{(51,1),(52,1),(57,1),(80,1),(81,1),(82,1)}
        69:{4,6,7}:{(52,1),(82,1),(83,1)}
        70:{3,5}:{(53,1),(54,1),(84,1)}
        71:{1,2,4,6}:{(54,1),(55,1),(56,1),(60,1),(78,1),(84,1),(85,1),(94,1)}
        72:{2,4,7}:{(55,1),(57,1),(61,1),(80,1)}
        73:{1,4,7}:{(56,1),(57,1),(62,1),(81,1)}
        74:{5,7}:{(58,1),(59,1)}
        75:{1,2,7}:{(60,1),(61,1),(62,1)}
        76:{3,5}:{(63,1),(64,1),(86,1)}
        77:{3,4,7}:{(63,1),(65,1),(88,1),(93,1),(99,1)}
        78:{1,2,5,6}:{(64,1),(66,1),(67,1),(71,1),(87,1),(89,1),(90,1)}
        79:{1,2,5,7}:{(64,1),(65,1),(88,1),(90,1)}
        80:{2,5,7}:{(66,1),(68,1),(72,1),(91,1)}
        81:{1,5,7}:{(67,1),(68,1),(73,1),(92,1)}
        82:{3,6,7}:{(68,1),(69,1),(91,1),(92,1)}
        83:{5,6,7}:{(69,1),(74,1),(104,1)}
        84:{3,6}:{(70,1),(71,1),(93,1)}
        85:{1,2,4,7}:{(71,1),(72,1),(73,1),(75,1),(89,1),(93,1),(99,1)}
        86:{4,5}:{(76,1),(94,1)}
        87:{3,5,6}:{(76,1),(78,1),(84,1),(94,1),(96,1),(97,1),(103,1)}
        88:{3,5,7}:{(76,1),(77,1),(79,1),(95,1),(97,1)}
        89:{1,2,5,7}:{(78,1),(80,1),(81,1),(85,1),(96,1),(98,1)}
        90:{1,2,6}:{(79,1),(97,1)}
        91:{2,6,7}:{(80,1),(82,1)}
        92:{1,6,7}:{(81,1),(82,1)}
        93:{3,7}:{(84,1),(85,1)}
        94:{4,6}:{(86,1),(87,1),(99,1)}
        95:{4,5,7}:{(86,1),(88,1),(99,1),(100,1),(104,1)}
        96:{3,5,7}:{(87,1),(89,1),(93,1),(99,1),(101,1),(104,1)}
        97:{3,6}:{(88,1),(90,1),(100,1)}
        98:{1,2,6,7}:{(89,1),(90,1),(91,1),(92,1),(101,1)}
        99:{4,7}:{(94,1),(96,1)}
       100:{4,6}:{(95,1),(97,1),(103,1)}
       101:{3,6,7}:{(96,1),(97,1),(98,1),(102,1)}
       102:{4,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       103:{5,6}:{(100,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

 895 :   0:{1,2,3,7}:{(1,1),(2,1),(44,1),(68,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(4,1),(5,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(34,1),(58,1)}
         3:{3,4,7}:{(1,1),(7,1),(8,1),(40,1),(44,1)}
         4:{1,2,5,7}:{(1,1),(7,1),(9,1),(10,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(9,1),(10,1),(11,1)}
         6:{1,2,3,5}:{(2,1),(10,1),(11,1),(25,1),(47,1),(48,1)}
         7:{3,5,7}:{(3,1),(4,1),(12,1),(13,1),(14,1)}
         8:{3,4,6}:{(3,1),(5,1),(13,1),(14,1),(18,1),(31,1),(34,1)}
         9:{1,2,6}:{(4,1),(13,1)}
        10:{1,2,5}:{(5,1),(14,1)}
        11:{1,2,4}:{(6,1),(18,1)}
        12:{4,5,7}:{(7,1),(19,1),(22,1),(38,1),(40,1)}
        13:{3,6}:{(7,1),(9,1),(19,1)}
        14:{3,5}:{(8,1),(10,1),(22,1)}
        15:{1,2,6,7}:{(9,1),(20,1),(23,1),(80,1),(81,1)}
        16:{1,2,5,6}:{(9,1),(10,1),(21,1),(23,1),(24,1),(62,1),(63,1)}
        17:{1,2,4,5}:{(10,1),(11,1),(22,1),(24,1),(25,1),(42,1),(43,1),(47,1)}
        18:{3,4}:{(11,1),(25,1)}
        19:{4,6}:{(12,1),(13,1),(29,1)}
        20:{3,6,7}:{(13,1),(15,1),(28,1),(30,1)}
        21:{3,5,6}:{(13,1),(14,1),(16,1),(29,1),(30,1),(31,1),(34,1)}
        22:{4,5}:{(14,1),(31,1)}
        23:{1,2,5,7}:{(15,1),(16,1),(30,1),(33,1),(72,1),(73,1)}
        24:{1,2,4,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(53,1),(54,1),(58,1)}
        25:{3,5}:{(17,1),(18,1),(34,1)}
        26:{1,3,4}:{(18,1),(35,1),(37,1),(77,1)}
        27:{2,3,4}:{(18,1),(36,1),(37,1),(77,1)}
        28:{4,6,7}:{(19,1),(20,1),(38,1),(40,1)}
        29:{5,6}:{(19,1),(38,1)}
        30:{3,5,7}:{(20,1),(21,1),(23,1),(38,1),(40,1),(44,1)}
        31:{4,6}:{(21,1),(22,1),(40,1)}
        32:{3,4,5}:{(22,1),(25,1),(41,1),(42,1),(43,1),(67,1),(96,1)}
        33:{1,2,4,7}:{(23,1),(24,1),(40,1),(44,1),(64,1),(65,1),(68,1)}
        34:{3,6}:{(24,1),(25,1),(44,1)}
        35:{1,3,5}:{(25,1),(26,1),(42,1),(45,1),(47,1),(67,1)}
        36:{2,3,5}:{(25,1),(27,1),(43,1),(46,1),(47,1),(67,1)}
        37:{1,2,4}:{(26,1),(27,1),(47,1),(48,1)}
        38:{5,7}:{(28,1),(29,1)}
        39:{4,5,6}:{(29,1),(31,1),(50,1),(51,1),(90,1),(104,1)}
        40:{4,7}:{(30,1),(31,1)}
        41:{3,4,6}:{(31,1),(32,1),(34,1),(51,1),(52,1),(53,1),(54,1),(76,1),(90,1)}
        42:{1,4,5}:{(32,1),(35,1),(53,1)}
        43:{2,4,5}:{(32,1),(36,1),(54,1)}
        44:{3,7}:{(33,1),(34,1)}
        45:{1,3,6}:{(34,1),(35,1),(53,1),(56,1),(58,1),(76,1)}
        46:{2,3,6}:{(34,1),(36,1),(54,1),(57,1),(58,1),(76,1)}
        47:{1,2,5}:{(35,1),(36,1),(37,1),(58,1)}
        48:{1,2,3}:{(37,1)}
        49:{5,6,7}:{(38,1),(60,1),(102,1)}
        50:{4,5,7}:{(38,1),(39,1),(40,1),(60,1),(61,1),(95,1),(102,1)}
        51:{3,5,6}:{(39,1),(41,1),(61,1),(62,1),(63,1)}
        52:{3,4,7}:{(40,1),(41,1),(44,1),(61,1),(64,1),(65,1),(84,1),(95,1)}
        53:{1,4,6}:{(41,1),(42,1),(45,1),(62,1),(64,1)}
        54:{2,4,6}:{(41,1),(43,1),(46,1),(63,1),(65,1)}
        55:{1,2,4,5}:{(42,1),(43,1),(47,1),(66,1),(67,1),(70,1),(87,1),(96,1)}
        56:{1,3,7}:{(44,1),(45,1),(64,1),(68,1),(84,1)}
        57:{2,3,7}:{(44,1),(46,1),(65,1),(68,1),(84,1)}
        58:{1,2,6}:{(45,1),(46,1),(47,1),(68,1)}
        59:{1,2,3,5}:{(47,1),(48,1),(67,1),(69,1),(70,1),(87,1)}
        60:{4,6,7}:{(49,1),(50,1),(71,1)}
        61:{3,5,7}:{(50,1),(51,1),(52,1),(71,1),(72,1),(73,1)}
        62:{1,5,6}:{(51,1),(53,1),(72,1)}
        63:{2,5,6}:{(51,1),(54,1),(73,1)}
        64:{1,4,7}:{(52,1),(53,1),(56,1),(72,1)}
        65:{2,4,7}:{(52,1),(54,1),(57,1),(73,1)}
        66:{1,2,4,6}:{(53,1),(54,1),(55,1),(58,1),(74,1),(75,1),(76,1),(90,1)}
        67:{3,5}:{(55,1),(76,1),(77,1)}
        68:{1,2,7}:{(56,1),(57,1),(58,1)}
        69:{1,2,3,6}:{(58,1),(59,1),(76,1),(78,1),(79,1)}
        70:{1,2,4}:{(59,1),(77,1)}
        71:{3,6,7}:{(60,1),(61,1),(80,1),(81,1)}
        72:{1,5,7}:{(61,1),(62,1),(64,1),(80,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1),(81,1)}
        74:{1,2,5,6}:{(62,1),(63,1),(66,1),(82,1),(83,1),(87,1),(98,1)}
        75:{1,2,4,7}:{(64,1),(65,1),(66,1),(68,1),(82,1),(84,1),(95,1)}
        76:{3,6}:{(66,1),(67,1),(84,1)}
        77:{3,4}:{(67,1),(70,1)}
        78:{1,2,3,7}:{(68,1),(69,1),(84,1),(86,1)}
        79:{1,2,4,6}:{(69,1),(70,1),(85,1),(86,1),(87,1),(98,1)}
        80:{1,6,7}:{(71,1),(72,1)}
        81:{2,6,7}:{(71,1),(73,1)}
        82:{1,2,5,7}:{(72,1),(73,1),(74,1),(75,1),(88,1),(89,1)}
        83:{3,5,6}:{(74,1),(76,1),(89,1),(90,1),(92,1),(101,1),(104,1)}
        84:{3,7}:{(75,1),(76,1)}
        85:{3,4,6}:{(76,1),(77,1),(79,1),(90,1),(91,1),(92,1),(101,1)}
        86:{1,2,4,7}:{(78,1),(79,1),(91,1),(93,1)}
        87:{1,2,5}:{(79,1),(92,1)}
        88:{1,2,6,7}:{(80,1),(81,1),(82,1),(94,1),(98,1)}
        89:{3,5,7}:{(82,1),(83,1),(84,1),(94,1),(95,1),(102,1)}
        90:{4,6}:{(83,1),(95,1),(96,1)}
        91:{3,4,7}:{(84,1),(85,1),(86,1),(95,1),(97,1)}
        92:{3,5}:{(85,1),(87,1),(96,1)}
        93:{1,2,5,7}:{(86,1),(87,1),(97,1),(98,1)}
        94:{3,6,7}:{(88,1),(89,1),(99,1),(101,1)}
        95:{4,7}:{(89,1),(90,1)}
        96:{4,5}:{(90,1),(92,1)}
        97:{3,5,7}:{(91,1),(92,1),(93,1),(100,1),(101,1)}
        98:{1,2,6}:{(93,1),(101,1)}
        99:{4,6,7}:{(94,1),(95,1),(102,1),(103,1)}
       100:{4,5,7}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{5,7}:{(99,1),(104,1)}
       103:{4,6}:{(100,1),(101,1),(104,1)}
       104:{5,6}:{(102,1),(103,1)}

 896 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(2,1),(3,1)}
        2:{3,4}:{(1,1),(4,1)}
        3:{1,2,5}:{(1,1),(4,1),(5,1)}
        4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
        5:{1,2,6}:{(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:{1,2,7}:{(5,1),(10,1)}
        9:{4,6}:{(6,1),(7,1),(11,1),(12,1)}
       10:{3,7}:{(7,1),(8,1),(12,1)}
       11:{5,6}:{(9,1),(13,1)}
       12:{4,7}:{(9,1),(10,1),(13,1)}
       13:{5,7}:{(11,1),(12,1),(14,1)}
       14:{6,7}:{(13,1)}

 897 :  0:{4,5,6}:{(2,1),(3,1),(49,1),(81,1)}
        1:{3,4,5}:{(6,1),(7,1),(8,1),(35,1),(60,1)}
        2:{3,5,6}:{(0,1),(6,1),(9,1),(10,1),(11,1)}
        3:{4,5,7}:{(0,1),(11,1),(12,1),(61,1),(77,1)}
        4:{2,3,4}:{(13,1),(14,1),(48,1)}
        5:{1,3,4}:{(15,1),(16,1),(48,1)}
        6:{3,4,6}:{(1,1),(2,1),(17,1),(18,1),(19,1),(46,1),(49,1)}
        7:{1,4,5}:{(1,1),(15,1),(17,1)}
        8:{2,4,5}:{(1,1),(13,1),(18,1)}
        9:{1,5,6}:{(2,1),(17,1),(22,1)}
       10:{2,5,6}:{(2,1),(18,1),(23,1)}
       11:{3,5,7}:{(2,1),(3,1),(19,1),(22,1),(23,1),(24,1)}
       12:{4,6,7}:{(3,1),(24,1),(25,1)}
       13:{2,3,5}:{(4,1),(8,1),(26,1),(27,1),(35,1)}
       14:{1,2,4}:{(4,1),(27,1),(28,1),(54,1)}
       15:{1,3,5}:{(5,1),(7,1),(29,1),(30,1),(35,1)}
       16:{1,2,4}:{(5,1),(30,1),(31,1),(57,1)}
       17:{1,4,6}:{(6,1),(7,1),(9,1),(29,1),(33,1)}
       18:{2,4,6}:{(6,1),(8,1),(10,1),(26,1),(34,1)}
       19:{3,4,7}:{(6,1),(11,1),(33,1),(34,1),(59,1),(61,1)}
       20:{1,2,4,5}:{(7,1),(8,1),(27,1),(30,1),(32,1),(35,1),(54,1),(57,1),(60,1),(71,1),(73,1)}
       21:{1,2,5,6}:{(9,1),(10,1),(32,1),(36,1),(37,1),(71,1),(73,1),(82,1),(83,1)}
       22:{1,5,7}:{(9,1),(11,1),(33,1),(38,1)}
       23:{2,5,7}:{(10,1),(11,1),(34,1),(39,1)}
       24:{3,6,7}:{(11,1),(12,1),(38,1),(39,1)}
       25:{5,6,7}:{(12,1),(77,1)}
       26:{2,3,6}:{(13,1),(18,1),(40,1),(41,1),(46,1)}
       27:{1,2,5}:{(13,1),(14,1),(40,1),(42,1)}
       28:{1,3}:{(14,1)}
       29:{1,3,6}:{(15,1),(17,1),(43,1),(44,1),(46,1)}
       30:{1,2,5}:{(15,1),(16,1),(43,1),(45,1)}
       31:{2,3}:{(16,1)}
       32:{1,2,4,6}:{(17,1),(18,1),(20,1),(21,1),(40,1),(43,1),(46,1),(47,1),(49,1),(63,1),(65,1)}
       33:{1,4,7}:{(17,1),(19,1),(22,1),(44,1)}
       34:{2,4,7}:{(18,1),(19,1),(23,1),(41,1)}
       35:{3,5}:{(20,1),(46,1),(48,1)}
       36:{3,5,6}:{(21,1),(46,1),(49,1),(50,1),(67,1),(80,1),(81,1)}
       37:{1,2,5,7}:{(21,1),(22,1),(23,1),(47,1),(50,1),(51,1),(78,1),(79,1)}
       38:{1,6,7}:{(22,1),(24,1)}
       39:{2,6,7}:{(23,1),(24,1)}
       40:{1,2,6}:{(26,1),(27,1),(52,1),(53,1)}
       41:{2,3,7}:{(26,1),(34,1),(53,1),(59,1)}
       42:{1,3,5}:{(27,1),(28,1),(35,1),(52,1),(54,1),(71,1)}
       43:{1,2,6}:{(29,1),(30,1),(55,1),(56,1)}
       44:{1,3,7}:{(29,1),(33,1),(56,1),(59,1)}
       45:{2,3,5}:{(30,1),(31,1),(35,1),(55,1),(57,1),(73,1)}
       46:{3,6}:{(32,1),(35,1),(59,1)}
       47:{1,2,4,7}:{(32,1),(33,1),(34,1),(37,1),(53,1),(56,1),(59,1),(61,1),(72,1),(74,1)}
       48:{3,4}:{(35,1),(54,1),(57,1)}
       49:{4,6}:{(36,1),(60,1),(61,1)}
       50:{3,5,7}:{(36,1),(37,1),(59,1),(61,1),(62,1),(77,1)}
       51:{1,2,6,7}:{(37,1),(38,1),(39,1),(62,1),(82,1),(83,1)}
       52:{1,3,6}:{(40,1),(42,1),(46,1),(63,1),(64,1)}
       53:{1,2,7}:{(40,1),(41,1),(64,1)}
       54:{1,4}:{(42,1),(48,1)}
       55:{2,3,6}:{(43,1),(45,1),(46,1),(65,1),(66,1)}
       56:{1,2,7}:{(43,1),(44,1),(66,1)}
       57:{2,4}:{(45,1),(48,1)}
       58:{3,4,6}:{(46,1),(48,1),(49,1),(63,1),(65,1),(67,1),(68,1),(80,1)}
       59:{3,7}:{(46,1),(47,1)}
       60:{4,5}:{(49,1),(67,1)}
       61:{4,7}:{(49,1),(50,1)}
       62:{3,6,7}:{(50,1),(51,1),(70,1),(80,1)}
       63:{1,4,6}:{(52,1),(54,1),(58,1),(71,1),(72,1),(82,1)}
       64:{1,3,7}:{(52,1),(53,1),(59,1),(72,1)}
       65:{2,4,6}:{(55,1),(57,1),(58,1),(73,1),(74,1),(83,1)}
       66:{2,3,7}:{(55,1),(56,1),(59,1),(74,1)}
       67:{3,5}:{(58,1),(60,1),(71,1),(73,1)}
       68:{3,4,7}:{(58,1),(59,1),(61,1),(72,1),(74,1),(75,1)}
       69:{4,5,7}:{(60,1),(61,1),(75,1),(76,1),(77,1)}
       70:{4,6,7}:{(61,1),(62,1),(76,1),(77,1)}
       71:{1,5}:{(63,1),(67,1)}
       72:{1,4,7}:{(63,1),(64,1),(68,1),(78,1)}
       73:{2,5}:{(65,1),(67,1)}
       74:{2,4,7}:{(65,1),(66,1),(68,1),(79,1)}
       75:{3,5,7}:{(67,1),(68,1),(69,1),(78,1),(79,1),(80,1)}
       76:{4,6}:{(69,1),(80,1),(81,1)}
       77:{5,7}:{(70,1),(81,1)}
       78:{1,5,7}:{(71,1),(72,1),(75,1),(82,1)}
       79:{2,5,7}:{(73,1),(74,1),(75,1),(83,1)}
       80:{3,6}:{(75,1),(76,1),(82,1),(83,1)}
       81:{5,6}:{(76,1),(77,1)}
       82:{1,6}:{(78,1),(80,1)}
       83:{2,6}:{(79,1),(80,1)}

 898 :   0:{1,2,5,6,7}:{(1,1),(2,1),(29,1),(30,1),(59,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(5,1),(17,1),(75,1)}
         2:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(5,1),(18,1),(19,1),(20,1),(73,1)}
         3:{1,2,4,5,7}:{(2,1),(6,1),(7,1),(8,1),(25,1),(26,1),(27,1),(29,1),(30,1)}
         4:{4,6,7}:{(1,1),(8,1),(88,1)}
         5:{3,6,7}:{(2,1),(7,1),(86,1)}
         6:{1,2,4,5,6}:{(3,1),(12,1),(16,1),(33,1),(34,1),(35,1),(42,1),(43,1),(65,1),(73,1),(97,1),(103,1),(104,1)}
         7:{3,5,7}:{(3,1),(5,1),(12,1),(13,1)}
         8:{4,5,7}:{(4,1),(16,1),(17,1),(76,1),(97,1)}
         9:{3,4,6,7}:{(4,1),(5,1),(13,1),(17,1),(18,1),(19,1),(38,1),(45,1),(76,1),(96,1)}
        10:{1,3,6,7}:{(5,1),(14,1),(18,1),(20,1),(45,1),(70,1),(92,1)}
        11:{2,3,6,7}:{(5,1),(15,1),(19,1),(20,1),(45,1),(67,1),(94,1)}
        12:{3,5,6}:{(6,1),(7,1),(21,1),(81,1),(86,1),(102,1)}
        13:{3,4,7}:{(7,1),(21,1),(25,1),(26,1),(58,1)}
        14:{1,3,5,7}:{(7,1),(10,1),(22,1),(25,1),(27,1),(29,1),(58,1),(60,1)}
        15:{2,3,5,7}:{(7,1),(11,1),(23,1),(26,1),(27,1),(30,1),(58,1),(60,1)}
        16:{4,5,6}:{(8,1),(28,1),(88,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(29,1),(30,1),(102,1)}
        18:{1,4,6,7}:{(9,1),(10,1),(25,1),(29,1),(55,1),(100,1)}
        19:{2,4,6,7}:{(9,1),(11,1),(26,1),(30,1),(56,1),(101,1)}
        20:{1,2,6,7}:{(10,1),(11,1),(27,1),(82,1),(84,1)}
        21:{3,4,6}:{(12,1),(13,1),(32,1),(33,1),(34,1),(66,1),(91,1)}
        22:{1,3,5,6}:{(12,1),(14,1),(33,1),(35,1),(42,1),(63,1),(66,1),(70,1),(75,1),(89,1),(92,1),(103,1)}
        23:{2,3,5,6}:{(12,1),(15,1),(34,1),(35,1),(43,1),(61,1),(66,1),(67,1),(75,1),(90,1),(94,1),(104,1)}
        24:{3,4,5,7}:{(13,1),(17,1),(32,1),(38,1),(39,1),(40,1),(74,1),(76,1),(97,1)}
        25:{1,4,7}:{(13,1),(14,1),(33,1),(76,1)}
        26:{2,4,7}:{(13,1),(15,1),(34,1),(76,1)}
        27:{1,2,5,7}:{(14,1),(15,1),(20,1),(35,1),(41,1)}
        28:{3,5,6}:{(16,1),(17,1),(38,1),(42,1),(43,1)}
        29:{1,5,7}:{(17,1),(18,1),(42,1),(103,1)}
        30:{2,5,7}:{(17,1),(19,1),(43,1),(104,1)}
        31:{1,2,4,6,7}:{(18,1),(19,1),(20,1),(41,1),(44,1),(45,1),(73,1),(76,1)}
        32:{3,4,5}:{(21,1),(48,1),(49,1),(81,1),(102,1)}
        33:{1,4,6}:{(21,1),(22,1),(25,1),(48,1),(88,1),(98,1)}
        34:{2,4,6}:{(21,1),(23,1),(26,1),(49,1),(88,1),(99,1)}
        35:{1,2,5,6}:{(22,1),(23,1),(27,1),(50,1),(77,1),(79,1),(82,1),(84,1)}
        36:{2,3,4,7}:{(26,1),(46,1),(51,1),(52,1),(58,1),(87,1)}
        37:{1,3,4,7}:{(25,1),(47,1),(53,1),(54,1),(58,1),(87,1)}
        38:{3,4,6}:{(24,1),(28,1),(55,1),(56,1),(86,1),(88,1)}
        39:{1,4,5,7}:{(24,1),(25,1),(29,1),(48,1),(53,1),(55,1)}
        40:{2,4,5,7}:{(24,1),(26,1),(30,1),(49,1),(51,1),(56,1)}
        41:{1,2,4,7}:{(25,1),(26,1),(27,1),(50,1),(58,1)}
        42:{1,5,6}:{(28,1),(29,1),(55,1)}
        43:{2,5,6}:{(28,1),(30,1),(56,1)}
        44:{1,2,5,7}:{(29,1),(30,1),(31,1),(59,1),(60,1)}
        45:{3,6,7}:{(31,1),(58,1),(60,1),(86,1)}
        46:{2,3,4,6}:{(34,1),(36,1),(61,1),(62,1),(66,1),(67,1),(91,1),(96,1)}
        47:{1,3,4,6}:{(33,1),(37,1),(63,1),(64,1),(66,1),(70,1),(91,1),(96,1)}
        48:{1,4,5}:{(32,1),(33,1),(63,1),(97,1),(103,1)}
        49:{2,4,5}:{(32,1),(34,1),(61,1),(97,1),(104,1)}
        50:{1,2,4,6}:{(33,1),(34,1),(35,1),(41,1),(65,1),(66,1)}
        51:{2,3,5,7}:{(36,1),(40,1),(61,1),(67,1),(68,1),(74,1)}
        52:{1,2,4,7}:{(36,1),(62,1),(68,1),(69,1),(93,1)}
        53:{1,3,5,7}:{(37,1),(39,1),(63,1),(70,1),(71,1),(74,1)}
        54:{1,2,4,7}:{(37,1),(64,1),(71,1),(72,1),(95,1)}
        55:{1,4,6}:{(38,1),(39,1),(42,1),(70,1)}
        56:{2,4,6}:{(38,1),(40,1),(43,1),(67,1)}
        57:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(44,1),(65,1),(68,1),(71,1),(73,1),(74,1),(76,1),(93,1),(95,1),(97,1),(103,1),(104,1)}
        58:{3,7}:{(41,1),(66,1)}
        59:{1,2,5,6}:{(42,1),(43,1),(44,1),(73,1),(75,1),(103,1),(104,1)}
        60:{3,5,7}:{(44,1),(45,1),(75,1),(76,1)}
        61:{2,3,5}:{(46,1),(49,1),(77,1),(81,1),(102,1)}
        62:{1,2,4,6}:{(46,1),(52,1),(77,1),(78,1),(82,1),(98,1),(100,1)}
        63:{1,3,5}:{(47,1),(48,1),(79,1),(81,1),(102,1)}
        64:{1,2,4,6}:{(47,1),(54,1),(79,1),(80,1),(84,1),(99,1),(101,1)}
        65:{1,2,4,5}:{(48,1),(49,1),(50,1),(77,1),(79,1),(81,1),(98,1),(99,1)}
        66:{3,6}:{(50,1),(58,1),(81,1)}
        67:{2,3,6}:{(51,1),(56,1),(82,1),(86,1)}
        68:{1,2,5,7}:{(51,1),(52,1),(77,1),(82,1),(83,1)}
        69:{1,3,7}:{(52,1),(58,1),(78,1)}
        70:{1,3,6}:{(53,1),(55,1),(84,1),(86,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(79,1),(84,1),(85,1)}
        72:{2,3,7}:{(54,1),(58,1),(80,1)}
        73:{1,2,4,6}:{(55,1),(56,1),(57,1),(59,1),(82,1),(84,1),(86,1),(88,1),(100,1),(101,1)}
        74:{3,5,7}:{(57,1),(58,1),(81,1),(86,1),(87,1),(102,1)}
        75:{3,5,6}:{(59,1),(60,1),(86,1),(88,1),(102,1)}
        76:{4,7}:{(60,1),(88,1)}
        77:{1,2,5}:{(61,1),(62,1),(89,1),(103,1)}
        78:{1,3,6}:{(62,1),(66,1),(69,1),(89,1)}
        79:{1,2,5}:{(63,1),(64,1),(90,1),(104,1)}
        80:{2,3,6}:{(64,1),(66,1),(72,1),(90,1)}
        81:{3,5}:{(65,1),(66,1),(91,1)}
        82:{1,2,6}:{(67,1),(68,1),(92,1)}
        83:{1,3,5,7}:{(68,1),(69,1),(74,1),(89,1),(92,1),(93,1),(103,1)}
        84:{1,2,6}:{(70,1),(71,1),(94,1)}
        85:{2,3,5,7}:{(71,1),(72,1),(74,1),(90,1),(94,1),(95,1),(104,1)}
        86:{3,6}:{(73,1),(74,1)}
        87:{3,4,7}:{(74,1),(76,1),(91,1),(93,1),(95,1),(96,1)}
        88:{4,6}:{(75,1),(76,1),(97,1)}
        89:{1,3,5}:{(77,1),(78,1),(81,1),(98,1)}
        90:{2,3,5}:{(79,1),(80,1),(81,1),(99,1)}
        91:{3,4}:{(81,1),(98,1),(99,1)}
        92:{1,3,6}:{(82,1),(83,1),(86,1),(100,1)}
        93:{1,4,7}:{(83,1),(87,1),(98,1),(100,1)}
        94:{2,3,6}:{(84,1),(85,1),(86,1),(101,1)}
        95:{2,4,7}:{(85,1),(87,1),(99,1),(101,1)}
        96:{3,4,6}:{(86,1),(87,1),(88,1),(100,1),(101,1),(102,1)}
        97:{4,5}:{(88,1),(102,1)}
        98:{1,4}:{(89,1),(91,1)}
        99:{2,4}:{(90,1),(91,1)}
       100:{1,4,6}:{(92,1),(93,1),(96,1),(103,1)}
       101:{2,4,6}:{(94,1),(95,1),(96,1),(104,1)}
       102:{3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{1,5}:{(100,1),(102,1)}
       104:{2,5}:{(101,1),(102,1)}

 899 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(2,1),(3,1)}
        2:{3,4}:{(1,1),(4,1)}
        3:{1,2,5}:{(1,1),(4,1),(5,1)}
        4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
        5:{1,2,6}:{(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:{1,2,7}:{(5,1),(10,1)}
        9:{4,6}:{(6,1),(7,1),(11,1),(12,1)}
       10:{3,7}:{(7,1),(8,1),(12,1)}
       11:{5,6}:{(9,1),(13,1)}
       12:{4,7}:{(9,1),(10,1),(13,1)}
       13:{5,7}:{(11,1),(12,1),(14,1)}
       14:{6,7}:{(13,1)}

 900 :   0:{1,2,3,4,6}:{(1,1),(2,1),(6,1),(10,1),(48,1),(51,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(13,1),(63,1)}
         3:{1,2,3,5,6}:{(1,1),(6,1),(7,1),(10,1),(19,1),(27,1),(43,1),(48,1)}
         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)}
         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),(37,1),(58,1),(63,1)}
         8:{3,4,5}:{(4,1),(12,1)}
         9:{1,2,4,5,7}:{(4,1),(5,1),(13,1),(17,1),(18,1),(37,1)}
        10:{1,2,3,6}:{(5,1),(18,1)}
        11:{1,2,4,5,6}:{(6,1),(19,1),(20,1),(27,1),(40,1),(41,1),(43,1),(52,1)}
        12:{3,4,6}:{(6,1),(8,1),(19,1),(23,1)}
        13:{1,2,4,7}:{(6,1),(7,1),(23,1)}
        14:{1,2,3,6,7}:{(7,1),(10,1),(24,1),(46,1),(72,1)}
        15:{1,3,4,5}:{(8,1),(21,1),(25,1),(86,1)}
        16:{2,3,4,5}:{(8,1),(22,1),(25,1),(86,1)}
        17:{3,4,5,7}:{(8,1),(9,1),(23,1),(26,1),(50,1)}
        18:{1,2,4,6}:{(9,1),(10,1),(26,1),(27,1)}
        19:{3,5,6}:{(11,1),(12,1),(31,1)}
        20:{1,2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(37,1),(54,1),(55,1),(58,1),(64,1)}
        21:{1,3,4,6}:{(12,1),(15,1),(29,1),(33,1),(34,1),(76,1)}
        22:{2,3,4,6}:{(12,1),(16,1),(30,1),(33,1),(35,1),(76,1)}
        23:{3,4,7}:{(12,1),(13,1),(31,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(18,1),(36,1),(37,1)}
        25:{1,2,4,5}:{(15,1),(16,1),(33,1),(38,1)}
        26:{3,4,6}:{(17,1),(18,1),(39,1)}
        27:{1,2,5,6}:{(18,1),(37,1),(39,1)}
        28:{3,4,5,6}:{(19,1),(40,1),(41,1),(42,1),(52,1),(65,1),(104,1)}
        29:{1,3,5,6}:{(19,1),(21,1),(40,1),(43,1),(44,1),(65,1)}
        30:{2,3,5,6}:{(19,1),(22,1),(41,1),(43,1),(45,1),(65,1)}
        31:{3,5,7}:{(19,1),(20,1),(23,1),(46,1)}
        32:{1,2,4,6,7}:{(20,1),(46,1),(47,1),(67,1),(68,1),(72,1),(73,1)}
        33:{1,2,4,6}:{(21,1),(22,1),(25,1),(43,1),(48,1),(49,1)}
        34:{1,3,4,7}:{(21,1),(23,1),(44,1),(49,1),(87,1)}
        35:{2,3,4,7}:{(22,1),(23,1),(45,1),(49,1),(87,1)}
        36:{3,4,6,7}:{(23,1),(24,1),(26,1),(46,1),(50,1),(73,1)}
        37:{1,2,5,7}:{(24,1),(27,1),(50,1)}
        38:{1,2,3,5}:{(25,1),(48,1),(51,1)}
        39:{3,5,6}:{(26,1),(27,1),(50,1),(52,1)}
        40:{1,4,5,6}:{(28,1),(29,1),(54,1)}
        41:{2,4,5,6}:{(28,1),(30,1),(55,1)}
        42:{3,4,5,7}:{(28,1),(31,1),(54,1),(55,1),(56,1),(64,1),(77,1),(103,1)}
        43:{1,2,5,6}:{(29,1),(30,1),(33,1),(58,1)}
        44:{1,3,5,7}:{(29,1),(31,1),(34,1),(54,1),(58,1),(59,1),(77,1)}
        45:{2,3,5,7}:{(30,1),(31,1),(35,1),(55,1),(58,1),(60,1),(77,1)}
        46:{3,6,7}:{(31,1),(32,1)}
        47:{1,2,5,6,7}:{(32,1),(37,1),(61,1),(79,1),(80,1)}
        48:{1,2,3,6}:{(33,1),(38,1),(63,1)}
        49:{1,2,4,7}:{(33,1),(34,1),(35,1),(58,1),(63,1)}
        50:{3,5,7}:{(36,1),(37,1),(39,1),(64,1)}
        51:{1,2,3,4}:{(38,1)}
        52:{4,5,6}:{(39,1),(64,1)}
        53:{1,2,4,5,6}:{(40,1),(41,1),(43,1),(65,1),(66,1),(70,1),(101,1),(104,1)}
        54:{1,4,5,7}:{(40,1),(42,1),(44,1),(67,1)}
        55:{2,4,5,7}:{(41,1),(42,1),(45,1),(68,1)}
        56:{3,4,6,7}:{(42,1),(46,1),(67,1),(68,1),(69,1),(73,1),(88,1),(100,1)}
        57:{1,2,3,5,6}:{(43,1),(48,1),(65,1),(70,1),(71,1),(74,1),(92,1),(101,1)}
        58:{1,2,5,7}:{(43,1),(44,1),(45,1),(49,1),(72,1)}
        59:{1,3,6,7}:{(44,1),(46,1),(67,1),(72,1),(88,1)}
        60:{2,3,6,7}:{(45,1),(46,1),(68,1),(72,1),(88,1)}
        61:{3,5,6,7}:{(46,1),(47,1),(50,1),(73,1)}
        62:{1,2,3,4,6}:{(48,1),(51,1),(70,1),(74,1),(75,1),(92,1)}
        63:{1,2,3,7}:{(48,1),(49,1)}
        64:{4,5,7}:{(50,1),(52,1),(73,1)}
        65:{3,5,6}:{(53,1),(76,1),(77,1)}
        66:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(58,1),(77,1),(78,1),(83,1),(97,1),(103,1)}
        67:{1,4,6,7}:{(54,1),(56,1),(59,1),(79,1)}
        68:{2,4,6,7}:{(55,1),(56,1),(60,1),(80,1)}
        69:{3,5,6,7}:{(56,1),(79,1),(80,1),(81,1)}
        70:{1,2,4,6}:{(57,1),(76,1),(82,1),(83,1)}
        71:{1,2,3,5,7}:{(57,1),(58,1),(63,1),(77,1),(83,1),(84,1),(97,1)}
        72:{1,2,6,7}:{(58,1),(59,1),(60,1)}
        73:{4,6,7}:{(61,1),(64,1)}
        74:{1,2,3,5}:{(62,1),(82,1)}
        75:{1,2,3,4,7}:{(62,1),(63,1),(83,1),(85,1)}
        76:{3,4,6}:{(65,1),(70,1),(86,1),(87,1)}
        77:{3,5,7}:{(65,1),(66,1),(87,1),(88,1)}
        78:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(72,1),(88,1),(89,1),(100,1)}
        79:{1,5,6,7}:{(67,1),(69,1)}
        80:{2,5,6,7}:{(68,1),(69,1)}
        81:{4,5,6,7}:{(69,1),(73,1),(100,1)}
        82:{1,2,4,5}:{(70,1),(74,1),(86,1)}
        83:{1,2,4,7}:{(70,1),(71,1),(87,1)}
        84:{1,2,3,6,7}:{(71,1),(72,1),(88,1),(91,1),(92,1)}
        85:{1,2,3,5,7}:{(74,1),(75,1),(90,1),(92,1)}
        86:{3,4,5}:{(76,1),(82,1)}
        87:{3,4,7}:{(76,1),(77,1),(83,1)}
        88:{3,6,7}:{(77,1),(78,1)}
        89:{1,2,5,6,7}:{(78,1),(79,1),(80,1),(95,1),(97,1)}
        90:{1,2,4,5,7}:{(82,1),(83,1),(85,1),(93,1),(96,1),(97,1)}
        91:{1,2,4,6,7}:{(83,1),(84,1),(94,1),(96,1),(97,1)}
        92:{1,2,3,6}:{(85,1),(96,1)}
        93:{3,4,5,7}:{(86,1),(87,1),(90,1),(98,1),(99,1)}
        94:{3,4,6,7}:{(87,1),(88,1),(91,1),(98,1),(99,1),(100,1)}
        95:{3,5,6,7}:{(88,1),(89,1),(99,1),(100,1)}
        96:{1,2,4,6}:{(90,1),(92,1),(98,1),(101,1)}
        97:{1,2,5,7}:{(91,1),(99,1),(101,1)}
        98:{3,4,6}:{(93,1),(96,1),(102,1)}
        99:{3,5,7}:{(94,1),(97,1),(102,1),(103,1)}
       100:{4,6,7}:{(95,1),(103,1)}
       101:{1,2,5,6}:{(96,1),(97,1),(102,1)}
       102:{3,5,6}:{(98,1),(99,1),(101,1),(104,1)}
       103:{4,5,7}:{(99,1),(100,1),(104,1)}
       104:{4,5,6}:{(102,1),(103,1)}

 901 :   0:{1,2,3,4,7}:{(1,1),(2,1),(21,1),(65,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1)}
         2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(15,1),(54,1),(55,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(21,1)}
         4:{1,2,3,6}:{(1,1),(7,1)}
         5:{1,2,3,5}:{(2,1),(10,1)}
         6:{3,4,5,7}:{(3,1),(11,1),(16,1),(25,1),(30,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(11,1),(13,1)}
         8:{1,2,3,6,7}:{(4,1),(12,1),(14,1),(49,1),(72,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(15,1),(29,1),(52,1),(54,1)}
        10:{1,2,4,5}:{(5,1),(15,1),(16,1)}
        11:{3,4,6}:{(6,1),(7,1),(18,1)}
        12:{1,2,4,6,7}:{(7,1),(8,1),(17,1),(19,1),(21,1)}
        13:{1,2,5,6}:{(7,1),(18,1),(19,1)}
        14:{1,2,3,5,7}:{(8,1),(9,1),(19,1),(21,1),(38,1),(63,1),(65,1)}
        15:{1,2,4,6}:{(9,1),(10,1),(21,1),(22,1)}
        16:{3,4,5}:{(10,1),(22,1)}
        17:{3,4,6,7}:{(11,1),(12,1),(25,1),(30,1),(45,1),(49,1)}
        18:{3,5,6}:{(11,1),(13,1),(25,1),(26,1)}
        19:{1,2,5,7}:{(12,1),(13,1),(25,1)}
        20:{1,2,4,5,6}:{(13,1),(15,1),(26,1),(28,1),(29,1),(47,1),(48,1),(52,1)}
        21:{1,2,4,7}:{(14,1),(15,1),(30,1)}
        22:{3,4,6}:{(15,1),(16,1),(29,1),(30,1)}
        23:{1,3,4,5}:{(16,1),(31,1),(33,1),(89,1)}
        24:{2,3,4,5}:{(16,1),(32,1),(33,1),(89,1)}
        25:{3,5,7}:{(17,1),(18,1),(19,1),(35,1)}
        26:{4,5,6}:{(18,1),(35,1)}
        27:{1,2,5,6,7}:{(19,1),(34,1),(37,1),(77,1),(78,1)}
        28:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(35,1),(37,1),(38,1),(58,1),(59,1),(63,1)}
        29:{3,5,6}:{(20,1),(22,1),(38,1)}
        30:{3,4,7}:{(21,1),(22,1),(38,1)}
        31:{1,3,4,6}:{(22,1),(23,1),(39,1),(41,1),(43,1),(81,1)}
        32:{2,3,4,6}:{(22,1),(24,1),(40,1),(42,1),(43,1),(81,1)}
        33:{1,2,4,5}:{(23,1),(24,1),(43,1),(44,1)}
        34:{3,5,6,7}:{(25,1),(27,1),(45,1),(49,1)}
        35:{4,5,7}:{(25,1),(26,1),(45,1)}
        36:{3,4,5,6}:{(26,1),(29,1),(46,1),(47,1),(48,1),(71,1),(104,1)}
        37:{1,2,4,6,7}:{(27,1),(28,1),(45,1),(49,1),(68,1),(69,1),(72,1)}
        38:{3,5,7}:{(28,1),(29,1),(30,1),(49,1)}
        39:{1,3,5,6}:{(29,1),(31,1),(47,1),(50,1),(52,1),(71,1)}
        40:{2,3,5,6}:{(29,1),(32,1),(48,1),(51,1),(52,1),(71,1)}
        41:{1,3,4,7}:{(30,1),(31,1),(50,1),(53,1),(88,1)}
        42:{2,3,4,7}:{(30,1),(32,1),(51,1),(53,1),(88,1)}
        43:{1,2,4,6}:{(31,1),(32,1),(33,1),(52,1),(53,1),(54,1)}
        44:{1,2,3,5}:{(33,1),(54,1),(55,1)}
        45:{4,6,7}:{(34,1),(35,1)}
        46:{3,4,5,7}:{(35,1),(36,1),(38,1),(57,1),(58,1),(59,1),(80,1),(102,1)}
        47:{1,4,5,6}:{(36,1),(39,1),(58,1)}
        48:{2,4,5,6}:{(36,1),(40,1),(59,1)}
        49:{3,6,7}:{(37,1),(38,1)}
        50:{1,3,5,7}:{(38,1),(39,1),(41,1),(58,1),(61,1),(63,1),(80,1)}
        51:{2,3,5,7}:{(38,1),(40,1),(42,1),(59,1),(62,1),(63,1),(80,1)}
        52:{1,2,5,6}:{(39,1),(40,1),(43,1),(63,1)}
        53:{1,2,4,7}:{(41,1),(42,1),(43,1),(63,1),(65,1)}
        54:{1,2,3,6}:{(43,1),(44,1),(65,1)}
        55:{1,2,3,4}:{(44,1)}
        56:{4,5,6,7}:{(45,1),(67,1),(98,1)}
        57:{3,4,6,7}:{(45,1),(46,1),(49,1),(67,1),(68,1),(69,1),(87,1),(98,1)}
        58:{1,4,5,7}:{(46,1),(47,1),(50,1),(68,1)}
        59:{2,4,5,7}:{(46,1),(48,1),(51,1),(69,1)}
        60:{1,2,4,5,6}:{(47,1),(48,1),(52,1),(70,1),(71,1),(74,1),(101,1),(104,1)}
        61:{1,3,6,7}:{(49,1),(50,1),(68,1),(72,1),(87,1)}
        62:{2,3,6,7}:{(49,1),(51,1),(69,1),(72,1),(87,1)}
        63:{1,2,5,7}:{(50,1),(51,1),(52,1),(53,1),(72,1)}
        64:{1,2,3,5,6}:{(52,1),(54,1),(71,1),(73,1),(74,1),(76,1),(92,1),(101,1)}
        65:{1,2,3,7}:{(53,1),(54,1)}
        66:{1,2,3,4,6}:{(54,1),(55,1),(74,1),(75,1),(76,1),(92,1)}
        67:{3,5,6,7}:{(56,1),(57,1),(77,1),(78,1)}
        68:{1,4,6,7}:{(57,1),(58,1),(61,1),(77,1)}
        69:{2,4,6,7}:{(57,1),(59,1),(62,1),(78,1)}
        70:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(63,1),(79,1),(80,1),(83,1),(96,1),(102,1)}
        71:{3,5,6}:{(60,1),(80,1),(81,1)}
        72:{1,2,6,7}:{(61,1),(62,1),(63,1)}
        73:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(80,1),(82,1),(83,1),(96,1)}
        74:{1,2,4,6}:{(64,1),(81,1),(83,1),(84,1)}
        75:{1,2,3,4,7}:{(65,1),(66,1),(83,1),(85,1)}
        76:{1,2,3,5}:{(66,1),(84,1)}
        77:{1,5,6,7}:{(67,1),(68,1)}
        78:{2,5,6,7}:{(67,1),(69,1)}
        79:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(72,1),(86,1),(87,1),(98,1)}
        80:{3,5,7}:{(70,1),(71,1),(87,1),(88,1)}
        81:{3,4,6}:{(71,1),(74,1),(88,1),(89,1)}
        82:{1,2,3,6,7}:{(72,1),(73,1),(87,1),(90,1),(92,1)}
        83:{1,2,4,7}:{(73,1),(74,1),(88,1)}
        84:{1,2,4,5}:{(74,1),(76,1),(89,1)}
        85:{1,2,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,2,5,6,7}:{(77,1),(78,1),(79,1),(93,1),(96,1)}
        87:{3,6,7}:{(79,1),(80,1)}
        88:{3,4,7}:{(80,1),(81,1),(83,1)}
        89:{3,4,5}:{(81,1),(84,1)}
        90:{1,2,4,6,7}:{(82,1),(83,1),(94,1),(96,1),(97,1)}
        91:{1,2,4,5,7}:{(83,1),(84,1),(85,1),(95,1),(96,1),(97,1)}
        92:{1,2,3,6}:{(85,1),(97,1)}
        93:{3,5,6,7}:{(86,1),(87,1),(98,1),(99,1)}
        94:{3,4,6,7}:{(87,1),(88,1),(90,1),(98,1),(99,1),(100,1)}
        95:{3,4,5,7}:{(88,1),(89,1),(91,1),(99,1),(100,1)}
        96:{1,2,5,7}:{(90,1),(99,1),(101,1)}
        97:{1,2,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{4,6,7}:{(93,1),(102,1)}
        99:{3,5,7}:{(94,1),(96,1),(102,1),(103,1)}
       100:{3,4,6}:{(95,1),(97,1),(103,1)}
       101:{1,2,5,6}:{(96,1),(97,1),(103,1)}
       102:{4,5,7}:{(98,1),(99,1),(104,1)}
       103:{3,5,6}:{(99,1),(100,1),(101,1),(104,1)}
       104:{4,5,6}:{(102,1),(103,1)}

 902 :   0:{1,3,4,5}:{(2,1),(3,1),(21,1),(58,1),(101,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(15,1),(48,1),(115,1)}
         2:{1,2,4,5}:{(0,1),(6,1),(7,1),(27,1),(68,1),(72,1)}
         3:{1,3,4,6}:{(0,1),(7,1),(8,1),(9,1),(74,1)}
         4:{1,2,4,5}:{(1,1),(10,1),(11,1),(27,1),(68,1),(84,1)}
         5:{2,3,4,6}:{(1,1),(11,1),(12,1),(13,1),(86,1)}
         6:{2,3,5}:{(2,1),(15,1),(16,1)}
         7:{1,2,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1),(50,1)}
         8:{1,3,5,6}:{(3,1),(17,1),(19,1),(20,1),(52,1),(58,1),(117,1)}
         9:{1,3,4,7}:{(3,1),(18,1),(20,1),(106,1)}
        10:{1,3,5}:{(4,1),(21,1),(22,1)}
        11:{1,2,4,6}:{(4,1),(5,1),(22,1),(23,1),(24,1),(60,1)}
        12:{2,3,5,6}:{(5,1),(23,1),(25,1),(26,1),(48,1),(62,1),(103,1)}
        13:{2,3,4,7}:{(5,1),(24,1),(26,1),(120,1)}
        14:{1,2,3,5}:{(6,1),(10,1),(27,1),(28,1),(68,1)}
        15:{2,3,4}:{(6,1),(27,1)}
        16:{2,3,6}:{(6,1),(7,1),(31,1)}
        17:{1,2,5,6}:{(7,1),(8,1),(30,1),(33,1),(68,1),(131,1)}
        18:{1,2,4,7}:{(7,1),(9,1),(31,1),(33,1),(75,1)}
        19:{1,4,5,6}:{(8,1),(34,1),(35,1),(84,1),(154,1)}
        20:{1,3,5,7}:{(8,1),(9,1),(33,1),(35,1),(36,1),(79,1)}
        21:{1,3,4}:{(10,1),(27,1)}
        22:{1,3,6}:{(10,1),(11,1),(39,1)}
        23:{1,2,5,6}:{(11,1),(12,1),(38,1),(41,1),(68,1),(131,1)}
        24:{1,2,4,7}:{(11,1),(13,1),(39,1),(41,1),(87,1)}
        25:{2,4,5,6}:{(12,1),(42,1),(43,1),(72,1),(139,1)}
        26:{2,3,5,7}:{(12,1),(13,1),(41,1),(43,1),(44,1),(91,1)}
        27:{1,2,4}:{(14,1),(15,1),(21,1)}
        28:{1,2,3,6}:{(14,1),(16,1),(22,1),(45,1),(47,1)}
        29:{2,3,4,6}:{(15,1),(16,1),(45,1),(48,1),(49,1),(50,1),(98,1),(103,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(48,1),(50,1),(51,1),(52,1),(103,1),(178,1)}
        31:{2,3,7}:{(16,1),(18,1)}
        32:{1,2,4,5,6}:{(17,1),(19,1),(50,1),(52,1),(53,1),(55,1),(96,1),(104,1),(108,1),(169,1),(178,1),(223,1),(224,1)}
        33:{1,2,5,7}:{(17,1),(18,1),(20,1),(51,1),(54,1)}
        34:{3,4,5,6}:{(19,1),(52,1),(55,1),(56,1),(115,1),(187,1),(224,1)}
        35:{1,4,5,7}:{(19,1),(20,1),(56,1),(57,1)}
        36:{1,3,6,7}:{(20,1),(54,1),(57,1),(111,1),(117,1)}
        37:{1,3,4,6}:{(21,1),(22,1),(45,1),(58,1),(59,1),(60,1),(98,1),(117,1)}
        38:{1,3,5,6}:{(22,1),(23,1),(58,1),(60,1),(61,1),(62,1),(117,1),(188,1)}
        39:{1,3,7}:{(22,1),(24,1)}
        40:{1,2,4,5,6}:{(23,1),(25,1),(60,1),(62,1),(63,1),(65,1),(96,1),(119,1),(122,1),(169,1),(188,1),(226,1),(227,1)}
        41:{1,2,5,7}:{(23,1),(24,1),(26,1),(61,1),(64,1)}
        42:{3,4,5,6}:{(25,1),(62,1),(65,1),(66,1),(101,1),(177,1),(227,1)}
        43:{2,4,5,7}:{(25,1),(26,1),(66,1),(67,1)}
        44:{2,3,6,7}:{(26,1),(64,1),(67,1),(103,1),(125,1)}
        45:{1,2,4,6}:{(27,1),(28,1),(29,1),(37,1),(68,1),(69,1),(131,1)}
        46:{1,2,3,5,6}:{(28,1),(30,1),(38,1),(68,1),(70,1),(71,1),(77,1),(90,1),(129,1),(131,1),(195,1),(198,1),(199,1),(200,1),(229,1)}
        47:{1,2,3,7}:{(28,1),(31,1),(39,1),(69,1)}
        48:{2,3,5}:{(29,1),(68,1),(72,1),(129,1)}
        49:{2,3,4,7}:{(29,1),(31,1),(69,1),(73,1),(75,1),(134,1)}
        50:{2,4,6}:{(30,1),(72,1),(74,1),(75,1)}
        51:{2,3,5,7}:{(30,1),(31,1),(33,1),(75,1),(76,1),(79,1),(144,1)}
        52:{3,5,6}:{(32,1),(74,1),(79,1),(129,1),(198,1)}
        53:{1,2,4,5,7}:{(32,1),(33,1),(35,1),(75,1),(79,1),(80,1),(81,1),(141,1),(144,1),(145,1),(207,1),(208,1)}
        54:{1,2,6,7}:{(33,1),(36,1),(76,1),(131,1)}
        55:{2,4,5,6}:{(34,1),(78,1),(81,1),(152,1),(210,1)}
        56:{3,4,5,7}:{(34,1),(35,1),(79,1),(81,1),(82,1),(208,1)}
        57:{1,4,6,7}:{(35,1),(36,1),(82,1),(83,1),(154,1)}
        58:{1,3,5}:{(37,1),(68,1),(84,1),(129,1)}
        59:{1,3,4,7}:{(37,1),(39,1),(69,1),(85,1),(87,1),(134,1)}
        60:{1,4,6}:{(38,1),(84,1),(86,1),(87,1)}
        61:{1,3,5,7}:{(38,1),(39,1),(41,1),(87,1),(88,1),(91,1),(159,1)}
        62:{3,5,6}:{(40,1),(86,1),(91,1),(129,1),(198,1)}
        63:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(87,1),(91,1),(92,1),(93,1),(157,1),(159,1),(160,1),(213,1),(214,1)}
        64:{1,2,6,7}:{(41,1),(44,1),(88,1),(131,1)}
        65:{1,4,5,6}:{(42,1),(89,1),(93,1),(136,1),(204,1)}
        66:{3,4,5,7}:{(42,1),(43,1),(91,1),(93,1),(94,1),(214,1)}
        67:{2,4,6,7}:{(43,1),(44,1),(94,1),(95,1),(139,1)}
        68:{1,2,5}:{(45,1),(48,1),(58,1)}
        69:{1,2,4,7}:{(45,1),(47,1),(49,1),(59,1),(97,1)}
        70:{1,2,4,6}:{(46,1),(50,1),(60,1),(96,1),(98,1),(99,1),(104,1),(119,1)}
        71:{1,2,3,5,7}:{(46,1),(47,1),(51,1),(61,1),(97,1),(99,1),(100,1),(109,1),(124,1),(168,1),(174,1),(216,1),(220,1)}
        72:{2,4,5}:{(48,1),(50,1),(101,1)}
        73:{2,3,5,7}:{(48,1),(49,1),(97,1),(102,1),(103,1),(168,1)}
        74:{3,4,6}:{(50,1),(52,1),(101,1),(104,1),(106,1)}
        75:{2,4,7}:{(50,1),(51,1),(106,1)}
        76:{2,3,6,7}:{(51,1),(54,1),(103,1),(107,1),(111,1)}
        77:{1,3,5,6}:{(52,1),(104,1),(108,1),(109,1),(166,1),(179,1),(217,1),(223,1)}
        78:{2,3,5,6}:{(52,1),(55,1),(105,1),(108,1),(110,1),(167,1),(218,1)}
        79:{3,5,7}:{(52,1),(53,1),(106,1),(111,1)}
        80:{1,2,4,6,7}:{(53,1),(54,1),(57,1),(107,1),(111,1),(112,1),(113,1),(169,1),(181,1),(183,1),(184,1)}
        81:{2,4,5,7}:{(55,1),(56,1),(110,1),(113,1)}
        82:{3,4,6,7}:{(56,1),(57,1),(111,1),(113,1),(114,1),(184,1),(187,1)}
        83:{1,5,6,7}:{(57,1),(114,1),(188,1)}
        84:{1,4,5}:{(58,1),(60,1),(115,1)}
        85:{1,3,5,7}:{(58,1),(59,1),(97,1),(116,1),(117,1),(168,1)}
        86:{3,4,6}:{(60,1),(62,1),(115,1),(119,1),(120,1)}
        87:{1,4,7}:{(60,1),(61,1),(120,1)}
        88:{1,3,6,7}:{(61,1),(64,1),(117,1),(121,1),(125,1)}
        89:{1,3,5,6}:{(62,1),(65,1),(118,1),(122,1),(123,1),(166,1),(217,1)}
        90:{2,3,5,6}:{(62,1),(119,1),(122,1),(124,1),(167,1),(189,1),(218,1),(226,1)}
        91:{3,5,7}:{(62,1),(63,1),(120,1),(125,1)}
        92:{1,2,4,6,7}:{(63,1),(64,1),(67,1),(121,1),(125,1),(126,1),(127,1),(169,1),(191,1),(193,1),(194,1)}
        93:{1,4,5,7}:{(65,1),(66,1),(123,1),(127,1)}
        94:{3,4,6,7}:{(66,1),(67,1),(125,1),(127,1),(128,1),(177,1),(194,1)}
        95:{2,5,6,7}:{(67,1),(128,1),(178,1)}
        96:{1,2,4,5}:{(68,1),(70,1),(72,1),(84,1),(129,1),(136,1),(152,1),(195,1)}
        97:{1,2,5,7}:{(68,1),(69,1),(73,1),(85,1),(131,1)}
        98:{3,4,6}:{(70,1),(129,1),(134,1),(198,1)}
        99:{1,2,4,7}:{(70,1),(71,1),(75,1),(87,1),(134,1),(141,1),(157,1)}
       100:{1,2,3,6,7}:{(71,1),(76,1),(88,1),(131,1),(135,1),(146,1),(162,1),(198,1),(229,1)}
       101:{3,4,5}:{(72,1),(74,1),(129,1),(136,1)}
       102:{2,4,5,7}:{(72,1),(73,1),(75,1),(138,1),(139,1),(144,1)}
       103:{2,3,6}:{(73,1),(131,1),(139,1),(198,1)}
       104:{1,4,6}:{(74,1),(77,1),(136,1),(141,1)}
       105:{2,3,4,6}:{(74,1),(78,1),(137,1),(140,1),(142,1)}
       106:{3,4,7}:{(74,1),(75,1),(79,1),(141,1)}
       107:{2,4,6,7}:{(75,1),(76,1),(139,1),(143,1),(144,1)}
       108:{1,2,5,6}:{(77,1),(78,1),(140,1),(145,1),(195,1),(229,1)}
       109:{1,3,5,7}:{(77,1),(79,1),(141,1),(145,1),(146,1),(206,1),(207,1)}
       110:{2,3,5,7}:{(78,1),(79,1),(81,1),(142,1),(145,1),(147,1)}
       111:{3,6,7}:{(79,1),(80,1),(198,1)}
       112:{1,2,5,6,7}:{(80,1),(83,1),(144,1),(148,1),(149,1),(199,1),(207,1)}
       113:{2,4,6,7}:{(81,1),(82,1),(147,1),(149,1),(210,1)}
       114:{3,5,6,7}:{(82,1),(83,1),(149,1),(150,1),(211,1)}
       115:{3,4,5}:{(84,1),(86,1),(129,1),(152,1)}
       116:{1,4,5,7}:{(84,1),(85,1),(87,1),(153,1),(154,1),(159,1)}
       117:{1,3,6}:{(85,1),(131,1),(154,1),(198,1)}
       118:{1,3,4,6}:{(86,1),(89,1),(151,1),(155,1),(156,1)}
       119:{2,4,6}:{(86,1),(90,1),(152,1),(157,1)}
       120:{3,4,7}:{(86,1),(87,1),(91,1),(157,1)}
       121:{1,4,6,7}:{(87,1),(88,1),(154,1),(158,1),(159,1)}
       122:{1,2,5,6}:{(89,1),(90,1),(155,1),(160,1),(195,1),(229,1)}
       123:{1,3,5,7}:{(89,1),(91,1),(93,1),(156,1),(160,1),(161,1)}
       124:{2,3,5,7}:{(90,1),(91,1),(157,1),(160,1),(162,1),(212,1),(213,1)}
       125:{3,6,7}:{(91,1),(92,1),(198,1)}
       126:{1,2,5,6,7}:{(92,1),(95,1),(159,1),(163,1),(164,1),(199,1),(213,1)}
       127:{1,4,6,7}:{(93,1),(94,1),(161,1),(164,1),(204,1)}
       128:{3,5,6,7}:{(94,1),(95,1),(164,1),(165,1),(205,1)}
       129:{3,5}:{(96,1),(98,1)}
       130:{1,2,4,5,7}:{(96,1),(97,1),(99,1),(102,1),(116,1),(168,1),(169,1),(174,1),(176,1),(186,1),(216,1),(221,1)}
       131:{1,2,6}:{(97,1),(103,1),(117,1)}
       132:{1,3,4,6}:{(98,1),(104,1),(166,1),(170,1),(171,1),(179,1),(217,1),(222,1)}
       133:{2,3,4,6}:{(98,1),(119,1),(167,1),(170,1),(172,1),(189,1),(218,1),(225,1)}
       134:{3,4,7}:{(98,1),(99,1),(168,1)}
       135:{1,2,4,6,7}:{(99,1),(100,1),(107,1),(121,1),(169,1),(173,1),(174,1),(181,1),(191,1)}
       136:{1,4,5}:{(101,1),(104,1),(166,1)}
       137:{2,3,4,5}:{(101,1),(105,1),(167,1),(175,1),(225,1)}
       138:{3,4,5,7}:{(101,1),(102,1),(106,1),(168,1),(176,1),(177,1),(182,1),(221,1)}
       139:{2,4,6}:{(102,1),(103,1),(177,1),(178,1)}
       140:{1,2,4,6}:{(104,1),(105,1),(108,1),(175,1),(179,1),(180,1)}
       141:{1,4,7}:{(104,1),(106,1),(109,1)}
       142:{2,3,4,7}:{(105,1),(106,1),(110,1),(180,1)}
       143:{3,4,6,7}:{(106,1),(107,1),(111,1),(177,1),(181,1),(182,1),(184,1)}
       144:{2,5,7}:{(107,1),(178,1),(182,1)}
       145:{1,2,5,7}:{(108,1),(109,1),(110,1),(180,1),(183,1)}
       146:{1,3,6,7}:{(109,1),(111,1),(181,1),(183,1),(217,1)}
       147:{2,3,6,7}:{(110,1),(111,1),(113,1),(183,1),(218,1)}
       148:{3,5,6,7}:{(111,1),(112,1),(182,1),(184,1),(219,1)}
       149:{2,5,6,7}:{(113,1),(114,1),(226,1)}
       150:{4,5,6,7}:{(114,1),(184,1),(227,1)}
       151:{1,3,4,5}:{(115,1),(118,1),(166,1),(185,1),(222,1)}
       152:{2,4,5}:{(115,1),(119,1),(167,1)}
       153:{3,4,5,7}:{(115,1),(116,1),(120,1),(168,1),(186,1),(187,1),(192,1),(221,1)}
       154:{1,4,6}:{(116,1),(117,1),(187,1),(188,1)}
       155:{1,2,4,6}:{(118,1),(119,1),(122,1),(185,1),(189,1),(190,1)}
       156:{1,3,4,7}:{(118,1),(120,1),(123,1),(190,1)}
       157:{2,4,7}:{(119,1),(120,1),(124,1)}
       158:{3,4,6,7}:{(120,1),(121,1),(125,1),(187,1),(191,1),(192,1),(194,1)}
       159:{1,5,7}:{(121,1),(188,1),(192,1)}
       160:{1,2,5,7}:{(122,1),(123,1),(124,1),(190,1),(193,1)}
       161:{1,3,6,7}:{(123,1),(125,1),(127,1),(193,1),(217,1)}
       162:{2,3,6,7}:{(124,1),(125,1),(191,1),(193,1),(218,1)}
       163:{3,5,6,7}:{(125,1),(126,1),(192,1),(194,1),(219,1)}
       164:{1,5,6,7}:{(127,1),(128,1),(223,1)}
       165:{4,5,6,7}:{(128,1),(194,1),(224,1)}
       166:{1,3,5}:{(129,1),(132,1),(136,1),(195,1)}
       167:{2,3,5}:{(129,1),(133,1),(152,1),(195,1)}
       168:{3,5,7}:{(129,1),(130,1),(134,1),(198,1)}
       169:{1,2,4,6}:{(130,1),(131,1),(139,1),(154,1),(198,1),(199,1),(204,1),(210,1),(229,1),(230,1)}
       170:{1,2,4,6}:{(132,1),(133,1),(195,1),(200,1),(201,1),(228,1),(229,1)}
       171:{1,3,4,7}:{(132,1),(134,1),(141,1),(196,1),(201,1),(206,1)}
       172:{2,3,4,7}:{(133,1),(134,1),(157,1),(197,1),(201,1),(212,1)}
       173:{3,4,6,7}:{(134,1),(135,1),(198,1),(202,1),(230,1)}
       174:{1,2,5,7}:{(135,1),(144,1),(159,1),(199,1),(202,1),(207,1),(213,1)}
       175:{1,2,4,5}:{(136,1),(137,1),(140,1),(195,1),(203,1),(228,1)}
       176:{1,4,5,7}:{(136,1),(138,1),(141,1),(196,1),(204,1),(207,1)}
       177:{3,4,6}:{(138,1),(139,1),(198,1),(204,1),(205,1),(230,1)}
       178:{2,5,6}:{(139,1),(144,1),(205,1)}
       179:{1,3,6}:{(140,1),(203,1),(206,1)}
       180:{1,2,4,7}:{(140,1),(141,1),(142,1),(145,1),(206,1)}
       181:{1,4,6,7}:{(141,1),(143,1),(146,1),(204,1),(207,1)}
       182:{3,5,7}:{(143,1),(144,1),(205,1),(207,1),(208,1)}
       183:{1,2,6,7}:{(145,1),(146,1),(147,1),(229,1)}
       184:{4,6,7}:{(148,1),(208,1),(230,1)}
       185:{1,2,4,5}:{(151,1),(152,1),(155,1),(195,1),(209,1),(228,1)}
       186:{2,4,5,7}:{(152,1),(153,1),(157,1),(197,1),(210,1),(213,1)}
       187:{3,4,6}:{(153,1),(154,1),(198,1),(210,1),(211,1),(230,1)}
       188:{1,5,6}:{(154,1),(159,1),(211,1)}
       189:{2,3,6}:{(155,1),(209,1),(212,1)}
       190:{1,2,4,7}:{(155,1),(156,1),(157,1),(160,1),(212,1)}
       191:{2,4,6,7}:{(157,1),(158,1),(162,1),(210,1),(213,1)}
       192:{3,5,7}:{(158,1),(159,1),(211,1),(213,1),(214,1)}
       193:{1,2,6,7}:{(160,1),(161,1),(162,1),(229,1)}
       194:{4,6,7}:{(163,1),(214,1),(230,1)}
       195:{1,2,5}:{(166,1),(167,1),(170,1)}
       196:{1,3,5,7}:{(166,1),(168,1),(171,1),(176,1),(216,1),(217,1)}
       197:{2,3,5,7}:{(167,1),(168,1),(172,1),(186,1),(216,1),(218,1)}
       198:{3,6}:{(168,1),(169,1)}
       199:{1,2,5,6}:{(169,1),(174,1),(178,1),(188,1),(219,1),(223,1),(226,1)}
       200:{1,2,3,6}:{(170,1),(179,1),(189,1),(215,1),(220,1)}
       201:{1,2,4,7}:{(170,1),(171,1),(172,1),(216,1),(220,1)}
       202:{3,5,7}:{(173,1),(174,1),(219,1),(221,1)}
       203:{1,3,5}:{(175,1),(179,1),(222,1)}
       204:{1,4,6}:{(176,1),(177,1),(217,1),(223,1)}
       205:{3,5,6}:{(177,1),(178,1),(182,1),(223,1),(224,1)}
       206:{1,3,7}:{(179,1),(180,1)}
       207:{1,5,7}:{(181,1),(182,1),(223,1)}
       208:{4,5,7}:{(182,1),(184,1),(224,1)}
       209:{2,3,5}:{(185,1),(189,1),(225,1)}
       210:{2,4,6}:{(186,1),(187,1),(218,1),(226,1)}
       211:{3,5,6}:{(187,1),(188,1),(192,1),(226,1),(227,1)}
       212:{2,3,7}:{(189,1),(190,1)}
       213:{2,5,7}:{(191,1),(192,1),(226,1)}
       214:{4,5,7}:{(192,1),(194,1),(227,1)}
       215:{1,2,3,5}:{(195,1),(200,1),(203,1),(209,1),(228,1)}
       216:{1,2,5,7}:{(195,1),(196,1),(197,1),(201,1),(229,1)}
       217:{1,3,6}:{(196,1),(198,1),(204,1),(229,1)}
       218:{2,3,6}:{(197,1),(198,1),(210,1),(229,1)}
       219:{3,5,6}:{(198,1),(199,1),(202,1),(230,1)}
       220:{1,2,3,7}:{(200,1),(201,1),(206,1),(212,1)}
       221:{4,5,7}:{(202,1),(230,1)}
       222:{1,3,4}:{(203,1),(228,1)}
       223:{1,5,6}:{(204,1),(205,1),(207,1)}
       224:{4,5,6}:{(205,1),(208,1),(230,1)}
       225:{2,3,4}:{(209,1),(228,1)}
       226:{2,5,6}:{(210,1),(211,1),(213,1)}
       227:{4,5,6}:{(211,1),(214,1),(230,1)}
       228:{1,2,4}:{(215,1),(222,1),(225,1)}
       229:{1,2,6}:{(216,1),(217,1),(218,1)}
       230:{4,6}:{(219,1),(221,1)}

 903 :  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:{3,4,5}:{(2,1),(7,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
        6:{1,2,3,7}:{(3,1),(9,1)}
        7:{3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,5,6}:{(5,1),(10,1),(12,1)}
        9:{1,2,4,7}:{(5,1),(6,1),(11,1),(12,1)}
       10:{3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{3,4,7}:{(7,1),(9,1),(14,1)}
       12:{1,2,5,7}:{(8,1),(9,1),(14,1),(15,1)}
       13:{4,5,6}:{(10,1),(16,1)}
       14:{3,5,7}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
       15:{1,2,6,7}:{(12,1),(17,1)}
       16:{4,5,7}:{(13,1),(14,1),(18,1)}
       17:{3,6,7}:{(14,1),(15,1),(18,1)}
       18:{4,6,7}:{(16,1),(17,1),(19,1)}
       19:{5,6,7}:{(18,1)}

 904 :   0:{1,3,4,6,7}:{(2,1),(3,1),(16,1),(35,1),(39,1),(41,1),(65,1),(70,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(18,1),(37,1),(39,1),(41,1),(66,1),(71,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(6,1),(24,1),(25,1),(51,1),(53,1),(80,1),(84,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(26,1),(50,1),(82,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(9,1),(10,1),(26,1),(52,1),(83,1)}
         5:{1,2,3,6,7}:{(2,1),(13,1),(41,1),(65,1),(66,1),(76,1),(95,1),(101,1)}
         6:{1,2,5,7}:{(2,1),(3,1),(4,1),(14,1),(67,1),(68,1),(94,1)}
         7:{1,3,5,6}:{(3,1),(14,1),(16,1),(41,1),(44,1)}
         8:{1,4,5,7}:{(3,1),(16,1),(17,1),(89,1),(92,1)}
         9:{2,3,5,6}:{(4,1),(14,1),(18,1),(41,1),(46,1)}
        10:{2,4,5,7}:{(4,1),(18,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(7,1),(20,1),(21,1),(49,1),(50,1),(78,1)}
        12:{2,3,5,6,7}:{(9,1),(20,1),(22,1),(49,1),(52,1),(79,1)}
        13:{1,2,3,5,7}:{(5,1),(6,1),(23,1),(24,1),(26,1),(61,1),(78,1),(79,1),(85,1),(99,1)}
        14:{1,2,5,6}:{(6,1),(7,1),(9,1),(25,1),(62,1),(63,1)}
        15:{1,2,4,5,7}:{(6,1),(8,1),(10,1),(24,1),(25,1),(26,1),(29,1),(32,1),(54,1),(61,1),(97,1),(98,1)}
        16:{1,4,6}:{(7,1),(8,1),(28,1)}
        17:{3,4,5,7}:{(8,1),(26,1),(28,1),(29,1),(50,1),(77,1),(81,1)}
        18:{2,4,6}:{(9,1),(10,1),(31,1)}
        19:{3,4,5,7}:{(10,1),(26,1),(31,1),(32,1),(52,1),(77,1),(81,1)}
        20:{1,2,5,6,7}:{(11,1),(12,1),(14,1),(33,1),(67,1),(68,1),(91,1)}
        21:{1,4,6,7}:{(11,1),(16,1),(34,1),(35,1),(89,1)}
        22:{2,4,6,7}:{(12,1),(18,1),(36,1),(37,1),(90,1)}
        23:{1,2,3,5,6}:{(13,1),(14,1),(38,1),(41,1),(69,1),(74,1),(75,1),(76,1),(94,1),(95,1)}
        24:{1,2,4,7}:{(13,1),(38,1),(39,1),(89,1),(90,1),(103,1)}
        25:{1,2,4,6}:{(14,1),(15,1),(16,1),(18,1),(41,1),(45,1),(47,1),(76,1)}
        26:{3,5,7}:{(15,1),(39,1),(41,1),(69,1),(101,1),(102,1)}
        27:{1,4,5,6}:{(16,1),(34,1),(44,1)}
        28:{3,4,6}:{(16,1),(17,1),(41,1),(44,1),(45,1)}
        29:{2,4,5,7}:{(17,1),(43,1),(45,1),(67,1),(90,1),(93,1)}
        30:{2,4,5,6}:{(18,1),(36,1),(46,1)}
        31:{3,4,6}:{(18,1),(19,1),(41,1),(46,1),(47,1)}
        32:{1,4,5,7}:{(19,1),(42,1),(47,1),(68,1),(89,1),(92,1)}
        33:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(25,1),(48,1),(49,1),(51,1),(53,1),(80,1),(97,1)}
        34:{1,4,5,7}:{(21,1),(27,1),(50,1)}
        35:{3,4,6,7}:{(21,1),(28,1),(49,1),(50,1),(51,1),(77,1)}
        36:{2,4,5,7}:{(22,1),(30,1),(52,1)}
        37:{3,4,6,7}:{(22,1),(31,1),(49,1),(52,1),(53,1),(77,1)}
        38:{1,2,4,6}:{(23,1),(24,1),(54,1),(55,1),(86,1),(87,1)}
        39:{3,4,7}:{(24,1),(26,1),(55,1),(104,1)}
        40:{1,2,4,5,6}:{(25,1),(27,1),(30,1),(48,1),(54,1),(58,1),(62,1),(63,1),(86,1),(87,1),(88,1)}
        41:{3,6}:{(25,1),(26,1)}
        42:{1,3,5,7}:{(26,1),(32,1),(56,1),(59,1),(61,1),(82,1)}
        43:{2,3,5,7}:{(26,1),(29,1),(57,1),(60,1),(61,1),(83,1)}
        44:{3,5,6}:{(27,1),(28,1),(50,1),(62,1)}
        45:{2,4,6}:{(28,1),(29,1),(60,1),(62,1)}
        46:{3,5,6}:{(30,1),(31,1),(52,1),(63,1)}
        47:{1,4,6}:{(31,1),(32,1),(59,1),(63,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(64,1),(67,1),(68,1),(89,1),(90,1),(91,1)}
        49:{3,6,7}:{(33,1),(41,1),(64,1),(101,1)}
        50:{3,5,7}:{(34,1),(35,1),(44,1),(67,1)}
        51:{2,4,6,7}:{(35,1),(45,1),(66,1),(67,1),(90,1)}
        52:{3,5,7}:{(36,1),(37,1),(46,1),(68,1)}
        53:{1,4,6,7}:{(37,1),(47,1),(65,1),(68,1),(89,1)}
        54:{1,2,4,5}:{(38,1),(69,1),(92,1),(93,1),(94,1)}
        55:{3,4,6}:{(38,1),(39,1),(41,1),(69,1)}
        56:{1,3,4,7}:{(39,1),(42,1),(70,1),(72,1),(89,1),(101,1)}
        57:{2,3,4,7}:{(39,1),(43,1),(71,1),(72,1),(90,1),(101,1)}
        58:{3,5,6}:{(40,1),(41,1),(64,1),(69,1),(73,1)}
        59:{1,3,6}:{(41,1),(42,1),(47,1),(76,1)}
        60:{2,3,6}:{(41,1),(43,1),(45,1),(76,1)}
        61:{1,2,5,7}:{(42,1),(43,1),(72,1),(76,1),(94,1)}
        62:{2,5,6}:{(44,1),(45,1),(67,1)}
        63:{1,5,6}:{(46,1),(47,1),(68,1)}
        64:{3,5,7}:{(48,1),(49,1),(58,1),(77,1)}
        65:{1,3,6,7}:{(49,1),(53,1),(59,1),(78,1),(80,1)}
        66:{2,3,6,7}:{(49,1),(51,1),(60,1),(79,1),(80,1)}
        67:{2,5,7}:{(50,1),(51,1),(62,1)}
        68:{1,5,7}:{(52,1),(53,1),(63,1)}
        69:{3,5}:{(54,1),(55,1)}
        70:{1,3,4,6}:{(55,1),(56,1),(59,1),(82,1),(84,1),(86,1),(100,1),(104,1)}
        71:{2,3,4,6}:{(55,1),(57,1),(60,1),(83,1),(84,1),(87,1),(100,1),(104,1)}
        72:{1,2,4,7}:{(56,1),(57,1),(61,1),(84,1),(85,1)}
        73:{3,4,6}:{(58,1),(77,1),(81,1),(86,1),(87,1),(100,1)}
        74:{1,3,5,6}:{(58,1),(59,1),(63,1),(78,1),(82,1),(86,1),(88,1),(100,1)}
        75:{2,3,5,6}:{(58,1),(60,1),(62,1),(79,1),(83,1),(87,1),(88,1),(100,1)}
        76:{1,2,6}:{(59,1),(60,1),(61,1)}
        77:{3,4,7}:{(64,1),(73,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(65,1),(68,1),(74,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(66,1),(67,1),(75,1),(90,1),(91,1),(101,1)}
        80:{1,2,6,7}:{(65,1),(66,1),(76,1),(91,1)}
        81:{3,4,5}:{(69,1),(73,1),(92,1),(93,1),(102,1)}
        82:{1,3,5}:{(69,1),(70,1),(92,1),(94,1),(102,1)}
        83:{2,3,5}:{(69,1),(71,1),(93,1),(94,1),(102,1)}
        84:{1,2,4,6}:{(70,1),(71,1),(72,1),(76,1),(94,1),(95,1),(103,1)}
        85:{1,2,3,7}:{(72,1),(95,1),(101,1)}
        86:{1,4,6}:{(73,1),(74,1),(89,1),(92,1)}
        87:{2,4,6}:{(73,1),(75,1),(90,1),(93,1)}
        88:{1,2,5,6}:{(74,1),(75,1),(76,1),(91,1),(94,1),(96,1)}
        89:{1,4,7}:{(77,1),(78,1),(86,1)}
        90:{2,4,7}:{(77,1),(79,1),(87,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(80,1),(88,1),(97,1)}
        92:{1,4,5}:{(81,1),(82,1),(86,1)}
        93:{2,4,5}:{(81,1),(83,1),(87,1)}
        94:{1,2,5}:{(82,1),(83,1),(84,1)}
        95:{1,2,3,6}:{(84,1),(85,1),(99,1),(100,1)}
        96:{1,2,4,6}:{(86,1),(87,1),(88,1),(97,1),(98,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(96,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(96,1),(102,1),(103,1)}
        99:{1,2,3,5}:{(94,1),(95,1),(102,1),(103,1)}
       100:{3,6}:{(96,1),(101,1),(102,1)}
       101:{3,7}:{(97,1),(100,1)}
       102:{3,5}:{(98,1),(100,1),(104,1)}
       103:{1,2,4}:{(99,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

 905 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(27,1),(28,1),(34,1),(37,1),(38,1),(39,1),(76,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(42,1),(43,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(25,1),(46,1),(47,1),(55,1),(59,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(31,1),(32,1),(34,1)}
         4:{3,4,6}:{(1,1),(8,1),(12,1),(37,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(12,1),(62,1),(63,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(37,1),(66,1),(67,1),(76,1)}
         7:{1,2,4,5,6}:{(3,1),(14,1),(15,1),(20,1),(42,1),(43,1),(45,1),(88,1),(89,1),(90,1)}
         8:{3,5}:{(3,1),(4,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(19,1),(20,1),(25,1),(51,1),(52,1),(55,1),(60,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(21,1),(22,1),(42,1),(56,1),(78,1),(85,1),(104,1)}
        11:{2,3,4,6}:{(4,1),(18,1),(21,1),(23,1),(43,1),(57,1),(78,1),(85,1),(104,1)}
        12:{3,4,7}:{(4,1),(5,1),(19,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(24,1),(25,1),(80,1),(81,1)}
        14:{3,5,6}:{(7,1),(8,1),(26,1),(29,1),(37,1)}
        15:{1,2,4,5,7}:{(7,1),(29,1),(30,1),(62,1),(63,1),(65,1),(95,1),(96,1),(97,1)}
        16:{3,4,5}:{(8,1),(26,1),(31,1),(32,1),(69,1)}
        17:{1,3,5}:{(8,1),(10,1),(31,1),(34,1),(69,1),(108,1)}
        18:{2,3,5}:{(8,1),(11,1),(32,1),(34,1),(69,1),(108,1)}
        19:{3,5,7}:{(8,1),(9,1),(12,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(37,1),(38,1),(71,1),(72,1),(76,1),(77,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(34,1),(39,1),(40,1),(74,1),(76,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(35,1),(40,1),(62,1),(93,1),(98,1)}
        23:{2,3,4,7}:{(11,1),(12,1),(36,1),(40,1),(63,1),(93,1),(98,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(41,1),(77,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(41,1),(95,1),(96,1)}
        26:{3,4,6}:{(14,1),(16,1),(42,1),(43,1),(44,1),(78,1)}
        27:{1,3,5,6}:{(14,1),(17,1),(42,1),(45,1),(46,1),(56,1),(78,1),(88,1),(105,1)}
        28:{2,3,5,6}:{(14,1),(18,1),(43,1),(45,1),(47,1),(57,1),(78,1),(89,1),(105,1)}
        29:{3,5,7}:{(14,1),(15,1),(44,1),(48,1)}
        30:{1,2,4,6,7}:{(15,1),(20,1),(48,1),(49,1),(80,1),(81,1),(83,1),(84,1)}
        31:{1,4,5}:{(16,1),(17,1),(42,1),(111,1)}
        32:{2,4,5}:{(16,1),(18,1),(43,1),(111,1)}
        33:{3,4,5,7}:{(16,1),(19,1),(44,1),(51,1),(52,1),(53,1),(60,1),(82,1),(86,1),(110,1),(111,1)}
        34:{1,2,5}:{(17,1),(18,1),(21,1)}
        35:{1,3,5,7}:{(17,1),(19,1),(22,1),(51,1),(55,1),(56,1),(86,1)}
        36:{2,3,5,7}:{(18,1),(19,1),(23,1),(52,1),(55,1),(57,1),(86,1)}
        37:{3,6}:{(19,1),(20,1)}
        38:{1,2,5,6}:{(20,1),(25,1),(58,1),(88,1),(89,1)}
        39:{1,2,3,6}:{(21,1),(54,1),(59,1),(78,1)}
        40:{1,2,4,7}:{(21,1),(22,1),(23,1),(55,1),(59,1)}
        41:{3,5,7}:{(24,1),(25,1),(58,1),(60,1)}
        42:{1,4,6}:{(26,1),(27,1),(31,1),(62,1),(109,1)}
        43:{2,4,6}:{(26,1),(28,1),(32,1),(63,1),(109,1)}
        44:{3,4,7}:{(26,1),(29,1),(62,1),(63,1),(93,1)}
        45:{1,2,5,6}:{(27,1),(28,1),(34,1),(61,1),(65,1),(76,1)}
        46:{1,3,5,7}:{(27,1),(29,1),(62,1),(65,1),(66,1),(93,1),(95,1),(107,1)}
        47:{2,3,5,7}:{(28,1),(29,1),(63,1),(65,1),(67,1),(93,1),(96,1),(107,1)}
        48:{3,6,7}:{(29,1),(30,1),(37,1)}
        49:{1,2,5,6,7}:{(30,1),(38,1),(68,1),(95,1),(96,1)}
        50:{1,2,4,5}:{(31,1),(32,1),(34,1),(61,1),(69,1),(74,1)}
        51:{1,4,5,7}:{(31,1),(33,1),(35,1),(62,1),(71,1),(95,1)}
        52:{2,4,5,7}:{(32,1),(33,1),(36,1),(63,1),(72,1),(96,1)}
        53:{3,4,6}:{(33,1),(37,1),(71,1),(72,1),(73,1),(77,1),(99,1),(109,1)}
        54:{1,2,3,5}:{(34,1),(39,1),(69,1),(74,1)}
        55:{1,2,5,7}:{(34,1),(35,1),(36,1),(40,1),(76,1)}
        56:{1,3,6}:{(35,1),(37,1),(71,1),(76,1),(99,1)}
        57:{2,3,6}:{(36,1),(37,1),(72,1),(76,1),(99,1)}
        58:{3,5,6}:{(37,1),(38,1),(41,1),(77,1)}
        59:{1,2,3,7}:{(39,1),(40,1),(93,1)}
        60:{4,5,7}:{(41,1),(77,1)}
        61:{1,2,4,6}:{(42,1),(43,1),(45,1),(50,1),(78,1),(79,1)}
        62:{1,4,7}:{(42,1),(44,1),(46,1),(110,1)}
        63:{2,4,7}:{(43,1),(44,1),(47,1),(110,1)}
        64:{3,4,6,7}:{(44,1),(48,1),(53,1),(80,1),(81,1),(82,1),(84,1),(102,1),(110,1)}
        65:{1,2,5,7}:{(45,1),(46,1),(47,1),(79,1),(83,1)}
        66:{1,3,6,7}:{(46,1),(48,1),(56,1),(80,1),(83,1),(102,1)}
        67:{2,3,6,7}:{(47,1),(48,1),(57,1),(81,1),(83,1),(102,1)}
        68:{3,5,6,7}:{(48,1),(49,1),(58,1),(82,1),(84,1)}
        69:{3,5}:{(50,1),(78,1),(85,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(52,1),(55,1),(79,1),(86,1),(87,1),(91,1),(103,1),(106,1),(110,1),(111,1)}
        71:{1,4,6}:{(51,1),(53,1),(56,1),(88,1)}
        72:{2,4,6}:{(52,1),(53,1),(57,1),(89,1)}
        73:{3,5,6}:{(53,1),(82,1),(88,1),(89,1),(90,1)}
        74:{1,2,4}:{(54,1),(85,1)}
        75:{1,2,3,5,7}:{(54,1),(55,1),(59,1),(86,1),(91,1),(92,1),(106,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{4,6}:{(58,1),(60,1)}
        78:{3,6}:{(61,1),(69,1),(93,1)}
        79:{1,2,4,7}:{(61,1),(62,1),(63,1),(65,1),(93,1)}
        80:{1,4,6,7}:{(62,1),(64,1),(66,1),(71,1),(95,1)}
        81:{2,4,6,7}:{(63,1),(64,1),(67,1),(72,1),(96,1)}
        82:{3,5,7}:{(64,1),(73,1),(95,1),(96,1),(97,1)}
        83:{1,2,6,7}:{(65,1),(66,1),(67,1),(76,1)}
        84:{4,6,7}:{(68,1),(77,1),(97,1)}
        85:{3,4}:{(69,1),(74,1)}
        86:{3,5,7}:{(69,1),(70,1),(93,1),(98,1),(99,1),(108,1)}
        87:{1,2,4,6}:{(70,1),(71,1),(72,1),(76,1),(99,1),(100,1),(109,1)}
        88:{1,5,6}:{(71,1),(73,1),(95,1)}
        89:{2,5,6}:{(72,1),(73,1),(96,1)}
        90:{4,5,6}:{(73,1),(77,1),(97,1),(109,1)}
        91:{1,2,4,7}:{(74,1),(75,1),(98,1),(101,1)}
        92:{1,2,3,6}:{(75,1),(76,1),(99,1),(101,1)}
        93:{3,7}:{(78,1),(79,1)}
        94:{1,2,4,6,7}:{(79,1),(80,1),(81,1),(83,1),(87,1),(102,1),(103,1),(110,1)}
        95:{1,5,7}:{(80,1),(82,1),(88,1)}
        96:{2,5,7}:{(81,1),(82,1),(89,1)}
        97:{4,5,7}:{(82,1),(84,1),(90,1),(110,1)}
        98:{3,4,7}:{(85,1),(86,1),(91,1),(104,1),(110,1)}
        99:{3,6}:{(86,1),(87,1)}
       100:{1,2,5,6}:{(87,1),(88,1),(89,1),(103,1),(105,1),(106,1)}
       101:{1,2,4,6}:{(91,1),(92,1),(104,1),(106,1)}
       102:{3,6,7}:{(93,1),(94,1),(99,1),(107,1)}
       103:{1,2,5,7}:{(94,1),(95,1),(96,1),(100,1),(107,1)}
       104:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       105:{3,5,6}:{(99,1),(100,1),(107,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(108,1)}
       107:{3,5,7}:{(102,1),(103,1),(105,1),(110,1)}
       108:{3,5}:{(104,1),(106,1),(111,1)}
       109:{4,6}:{(105,1),(110,1),(111,1)}
       110:{4,7}:{(107,1),(109,1)}
       111:{4,5}:{(108,1),(109,1)}

 906 :   0:{1,2,3,6,7}:{(3,1),(4,1),(41,1),(74,1),(75,1),(79,1),(83,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(41,1),(46,1),(49,1),(75,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(45,1),(53,1),(74,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(7,1),(9,1),(25,1),(65,1),(68,1),(71,1),(89,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(26,1),(61,1),(66,1),(87,1),(88,1),(94,1)}
         5:{2,3,5,7}:{(1,1),(7,1),(10,1),(11,1),(26,1),(64,1),(67,1)}
         6:{1,3,5,7}:{(2,1),(7,1),(12,1),(13,1),(26,1),(63,1),(70,1)}
         7:{1,2,5,7}:{(3,1),(5,1),(6,1),(14,1),(82,1),(84,1),(85,1)}
         8:{1,2,3,5,6}:{(4,1),(14,1),(16,1),(41,1),(44,1),(77,1),(78,1),(79,1),(82,1),(83,1)}
         9:{1,2,4,7}:{(4,1),(16,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(14,1),(19,1),(41,1),(50,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(81,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(14,1),(22,1),(41,1),(54,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(80,1),(95,1)}
        14:{1,2,5,6}:{(7,1),(10,1),(12,1),(25,1),(69,1),(72,1)}
        15:{1,2,4,5,7}:{(7,1),(9,1),(11,1),(13,1),(25,1),(26,1),(27,1),(34,1),(38,1),(61,1),(93,1),(101,1)}
        16:{1,2,4,6}:{(8,1),(9,1),(27,1),(28,1),(90,1),(91,1)}
        17:{3,4,7}:{(9,1),(26,1),(28,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(24,1),(31,1),(57,1),(67,1),(88,1)}
        19:{2,4,6}:{(10,1),(11,1),(33,1)}
        20:{3,4,5,7}:{(11,1),(26,1),(33,1),(34,1),(62,1),(67,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(24,1),(35,1),(57,1),(70,1),(87,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(26,1),(37,1),(38,1),(62,1),(70,1),(86,1)}
        24:{1,2,5,6,7}:{(14,1),(18,1),(21,1),(39,1),(84,1),(85,1),(97,1)}
        25:{1,2,4,6}:{(14,1),(15,1),(19,1),(22,1),(41,1),(51,1),(55,1),(79,1)}
        26:{3,5,7}:{(15,1),(17,1),(41,1),(44,1),(99,1),(104,1)}
        27:{1,2,4,5}:{(16,1),(44,1),(80,1),(81,1),(82,1)}
        28:{3,4,6}:{(16,1),(17,1),(41,1),(44,1)}
        29:{1,3,4,7}:{(17,1),(42,1),(45,1),(47,1),(95,1),(104,1)}
        30:{2,3,4,7}:{(17,1),(43,1),(46,1),(47,1),(96,1),(104,1)}
        31:{2,4,6,7}:{(18,1),(19,1),(48,1),(49,1),(96,1)}
        32:{2,4,5,6}:{(19,1),(48,1),(50,1)}
        33:{3,4,6}:{(19,1),(20,1),(41,1),(50,1),(51,1)}
        34:{1,4,5,7}:{(20,1),(42,1),(51,1),(80,1),(84,1),(95,1)}
        35:{1,4,6,7}:{(21,1),(22,1),(52,1),(53,1),(95,1)}
        36:{1,4,5,6}:{(22,1),(52,1),(54,1)}
        37:{3,4,6}:{(22,1),(23,1),(41,1),(54,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(43,1),(55,1),(81,1),(85,1),(96,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(31,1),(35,1),(56,1),(57,1),(68,1),(71,1),(89,1),(101,1)}
        40:{1,2,4,5,6}:{(25,1),(27,1),(32,1),(36,1),(56,1),(58,1),(69,1),(72,1),(90,1),(91,1),(92,1)}
        41:{3,6}:{(25,1),(26,1)}
        42:{1,3,5,7}:{(26,1),(29,1),(34,1),(59,1),(61,1),(63,1)}
        43:{2,3,5,7}:{(26,1),(30,1),(38,1),(60,1),(61,1),(64,1)}
        44:{3,5}:{(27,1),(28,1)}
        45:{1,3,4,6}:{(28,1),(29,1),(59,1),(63,1),(65,1),(90,1),(102,1),(103,1)}
        46:{2,3,4,6}:{(28,1),(30,1),(60,1),(64,1),(65,1),(91,1),(102,1),(103,1)}
        47:{1,2,4,7}:{(29,1),(30,1),(61,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(31,1),(32,1),(67,1)}
        49:{3,4,6,7}:{(31,1),(33,1),(57,1),(67,1),(68,1),(86,1)}
        50:{3,5,6}:{(32,1),(33,1),(67,1),(69,1)}
        51:{1,4,6}:{(33,1),(34,1),(59,1),(69,1)}
        52:{1,4,5,7}:{(35,1),(36,1),(70,1)}
        53:{3,4,6,7}:{(35,1),(37,1),(57,1),(70,1),(71,1),(86,1)}
        54:{3,5,6}:{(36,1),(37,1),(70,1),(72,1)}
        55:{2,4,6}:{(37,1),(38,1),(60,1),(72,1)}
        56:{1,2,4,5,7}:{(39,1),(40,1),(48,1),(52,1),(73,1),(84,1),(85,1),(95,1),(96,1),(97,1)}
        57:{3,6,7}:{(39,1),(41,1),(73,1),(104,1)}
        58:{3,5,6}:{(40,1),(41,1),(44,1),(73,1),(76,1)}
        59:{1,3,6}:{(41,1),(42,1),(51,1),(79,1)}
        60:{2,3,6}:{(41,1),(43,1),(55,1),(79,1)}
        61:{1,2,5,7}:{(42,1),(43,1),(47,1),(79,1),(82,1)}
        62:{3,4,5}:{(44,1),(76,1),(80,1),(81,1),(99,1)}
        63:{1,3,5}:{(44,1),(45,1),(80,1),(82,1),(99,1)}
        64:{2,3,5}:{(44,1),(46,1),(81,1),(82,1),(99,1)}
        65:{1,2,4,6}:{(45,1),(46,1),(47,1),(79,1),(82,1),(83,1),(100,1)}
        66:{1,2,3,7}:{(47,1),(83,1),(104,1)}
        67:{3,5,7}:{(48,1),(49,1),(50,1),(84,1)}
        68:{1,4,6,7}:{(49,1),(51,1),(74,1),(84,1),(95,1)}
        69:{1,5,6}:{(50,1),(51,1),(84,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{2,4,6,7}:{(53,1),(55,1),(75,1),(85,1),(96,1)}
        72:{2,5,6}:{(54,1),(55,1),(85,1)}
        73:{3,5,7}:{(56,1),(57,1),(58,1),(86,1)}
        74:{1,3,6,7}:{(57,1),(59,1),(68,1),(87,1),(89,1)}
        75:{2,3,6,7}:{(57,1),(60,1),(71,1),(88,1),(89,1)}
        76:{3,4,6}:{(58,1),(62,1),(86,1),(90,1),(91,1),(102,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(69,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(64,1),(72,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,6}:{(59,1),(60,1),(61,1)}
        80:{1,4,5}:{(62,1),(63,1),(90,1)}
        81:{2,4,5}:{(62,1),(64,1),(91,1)}
        82:{1,2,5}:{(63,1),(64,1),(65,1)}
        83:{1,2,3,6}:{(65,1),(66,1),(94,1),(102,1)}
        84:{1,5,7}:{(67,1),(68,1),(69,1)}
        85:{2,5,7}:{(70,1),(71,1),(72,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,3,5,7}:{(73,1),(74,1),(77,1),(84,1),(95,1),(97,1),(104,1)}
        88:{2,3,5,7}:{(73,1),(75,1),(78,1),(85,1),(96,1),(97,1),(104,1)}
        89:{1,2,6,7}:{(74,1),(75,1),(79,1),(97,1)}
        90:{1,4,6}:{(76,1),(77,1),(80,1),(95,1)}
        91:{2,4,6}:{(76,1),(78,1),(81,1),(96,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(82,1),(97,1),(98,1)}
        93:{1,2,4,5}:{(80,1),(81,1),(82,1),(98,1),(99,1),(100,1)}
        94:{1,2,3,5}:{(82,1),(83,1),(99,1),(100,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,5,7}:{(87,1),(88,1),(89,1),(92,1),(101,1)}
        98:{1,2,4,6}:{(90,1),(91,1),(92,1),(93,1),(101,1),(102,1)}
        99:{3,5}:{(93,1),(102,1),(103,1)}
       100:{1,2,4}:{(94,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       102:{3,6}:{(98,1),(99,1),(104,1)}
       103:{3,4}:{(99,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

 907 :   0:{1,3,4,6}:{(3,1),(4,1),(5,1),(7,1),(31,1),(34,1),(64,1),(76,1),(115,1)}
         1:{1,3,5,6}:{(4,1),(6,1),(7,1),(8,1),(9,1),(31,1),(34,1),(73,1),(120,1)}
         2:{1,4,5,6}:{(7,1),(9,1),(10,1),(73,1),(122,1)}
         3:{1,2,4,6}:{(0,1),(11,1),(12,1),(13,1),(43,1),(47,1),(91,1)}
         4:{1,3,5}:{(0,1),(12,1),(14,1),(45,1),(99,1),(138,1)}
         5:{1,3,4,7}:{(0,1),(13,1),(15,1),(20,1),(57,1),(90,1),(102,1),(205,1)}
         6:{1,2,5,6}:{(1,1),(12,1),(16,1),(17,1),(18,1),(22,1),(47,1),(99,1),(144,1)}
         7:{1,4,6}:{(1,1),(14,1),(19,1),(20,1),(142,1)}
         8:{1,3,5,7}:{(1,1),(18,1),(20,1),(21,1),(23,1),(57,1),(61,1),(108,1)}
         9:{3,5,6}:{(2,1),(19,1),(22,1),(23,1)}
        10:{1,4,5,7}:{(2,1),(20,1),(23,1),(24,1),(61,1),(110,1)}
        11:{2,3,6}:{(3,1),(25,1),(26,1),(34,1)}
        12:{1,2,5}:{(3,1),(4,1),(25,1),(116,1)}
        13:{1,2,4,7}:{(3,1),(5,1),(26,1),(28,1),(65,1),(208,1)}
        14:{1,4,5}:{(4,1),(7,1),(29,1),(157,1)}
        15:{1,3,5,7}:{(4,1),(5,1),(28,1),(30,1),(31,1),(69,1),(123,1),(191,1),(202,1)}
        16:{2,3,5,6}:{(6,1),(25,1),(32,1),(33,1),(34,1),(66,1),(74,1),(116,1),(120,1),(124,1),(125,1)}
        17:{1,2,4,6}:{(6,1),(7,1),(27,1),(32,1),(34,1),(35,1),(37,1),(76,1),(79,1)}
        18:{1,2,5,7}:{(6,1),(8,1),(33,1),(35,1),(36,1),(40,1),(123,1)}
        19:{3,4,6}:{(7,1),(9,1),(29,1),(34,1),(37,1),(38,1)}
        20:{1,4,7}:{(7,1),(8,1),(38,1),(131,1)}
        21:{1,3,6,7}:{(8,1),(31,1),(36,1),(39,1),(41,1),(82,1),(191,1)}
        22:{2,5,6}:{(9,1),(37,1),(40,1)}
        23:{3,5,7}:{(9,1),(10,1),(38,1),(40,1),(41,1)}
        24:{1,4,6,7}:{(10,1),(41,1),(42,1),(87,1)}
        25:{2,3,5}:{(11,1),(12,1),(43,1),(45,1)}
        26:{2,3,7}:{(11,1),(13,1),(57,1),(209,1)}
        27:{1,2,4,5}:{(12,1),(14,1),(17,1),(43,1),(45,1),(48,1),(51,1),(88,1),(92,1),(99,1)}
        28:{1,2,5,7}:{(12,1),(13,1),(15,1),(44,1),(47,1),(200,1),(207,1)}
        29:{3,4,5}:{(14,1),(19,1),(45,1),(48,1)}
        30:{1,4,5,7}:{(14,1),(15,1),(20,1),(49,1),(50,1),(61,1),(181,1),(196,1)}
        31:{1,3,6}:{(15,1),(47,1),(50,1),(95,1),(144,1)}
        32:{2,4,6}:{(16,1),(43,1),(51,1),(52,1),(53,1),(142,1)}
        33:{2,3,5,7}:{(16,1),(18,1),(53,1),(54,1),(57,1),(100,1),(104,1),(108,1)}
        34:{3,6}:{(17,1),(45,1),(57,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(20,1),(53,1),(57,1),(59,1),(102,1),(105,1)}
        36:{1,2,6,7}:{(18,1),(21,1),(47,1),(54,1),(62,1),(144,1),(200,1)}
        37:{2,4,6}:{(19,1),(22,1),(48,1),(56,1),(59,1)}
        38:{3,4,7}:{(19,1),(20,1),(23,1),(57,1),(59,1)}
        39:{1,4,6,7}:{(20,1),(21,1),(50,1),(60,1),(61,1),(152,1),(181,1)}
        40:{2,5,7}:{(22,1),(23,1),(59,1),(62,1)}
        41:{3,6,7}:{(23,1),(24,1),(62,1)}
        42:{1,5,6,7}:{(24,1),(61,1),(63,1),(152,1)}
        43:{2,4}:{(25,1),(64,1)}
        44:{2,3,5,7}:{(25,1),(26,1),(28,1),(65,1),(66,1),(69,1),(116,1),(190,1),(192,1),(203,1)}
        45:{3,5}:{(27,1),(34,1),(64,1)}
        46:{1,2,4,5,7}:{(27,1),(28,1),(30,1),(35,1),(65,1),(69,1),(70,1),(71,1),(75,1),(83,1),(113,1),(116,1),(117,1),(123,1),(131,1),(155,1),(157,1),(164,1),(165,1),(183,1),(190,1)}
        47:{1,2,6}:{(28,1),(31,1),(66,1)}
        48:{2,4,5}:{(29,1),(37,1),(68,1)}
        49:{3,4,5,7}:{(29,1),(30,1),(38,1),(69,1),(71,1),(72,1),(85,1),(131,1),(157,1),(167,1),(185,1)}
        50:{1,4,6}:{(30,1),(31,1),(72,1),(73,1)}
        51:{2,4,5}:{(32,1),(74,1),(116,1),(157,1)}
        52:{3,4,6}:{(32,1),(34,1),(64,1),(74,1),(76,1),(77,1),(124,1)}
        53:{2,4,7}:{(32,1),(33,1),(77,1),(131,1)}
        54:{2,3,6,7}:{(33,1),(36,1),(66,1),(78,1),(82,1),(124,1),(192,1)}
        55:{1,3,6}:{(34,1),(67,1),(76,1),(79,1),(80,1)}
        56:{2,3,6}:{(34,1),(37,1),(68,1),(79,1),(81,1)}
        57:{3,7}:{(34,1),(35,1)}
        58:{1,2,4,6,7}:{(35,1),(36,1),(39,1),(70,1),(78,1),(82,1),(83,1),(84,1),(126,1),(128,1),(131,1),(165,1)}
        59:{2,4,7}:{(37,1),(38,1),(40,1),(81,1)}
        60:{3,4,6,7}:{(38,1),(39,1),(41,1),(72,1),(82,1),(84,1),(85,1),(87,1),(131,1),(133,1),(167,1)}
        61:{1,5,7}:{(39,1),(73,1),(85,1)}
        62:{2,6,7}:{(40,1),(41,1)}
        63:{3,5,6,7}:{(41,1),(42,1),(85,1),(86,1),(87,1),(133,1)}
        64:{3,4}:{(43,1),(45,1),(88,1)}
        65:{2,4,7}:{(43,1),(44,1),(90,1),(91,1),(206,1)}
        66:{2,3,6}:{(44,1),(47,1),(91,1),(95,1),(199,1)}
        67:{1,3,5}:{(45,1),(55,1),(88,1),(92,1),(99,1),(134,1)}
        68:{2,3,5}:{(45,1),(48,1),(56,1),(89,1),(92,1)}
        69:{3,5,7}:{(45,1),(46,1),(57,1),(90,1),(95,1),(138,1),(179,1),(194,1)}
        70:{1,2,4,6}:{(46,1),(47,1),(50,1),(91,1),(95,1),(96,1),(97,1),(101,1),(136,1),(139,1),(142,1),(144,1),(177,1),(199,1)}
        71:{2,4,5,7}:{(48,1),(49,1),(59,1),(94,1),(97,1),(109,1),(150,1),(172,1)}
        72:{3,4,6}:{(49,1),(50,1),(95,1),(97,1),(98,1),(142,1)}
        73:{1,5,6}:{(50,1),(61,1),(98,1)}
        74:{3,5}:{(51,1),(52,1),(99,1)}
        75:{2,4,5,7}:{(51,1),(53,1),(100,1),(101,1),(104,1),(147,1)}
        76:{1,4,6}:{(52,1),(55,1),(88,1),(99,1),(102,1),(144,1)}
        77:{3,4,7}:{(52,1),(53,1),(57,1),(100,1),(102,1)}
        78:{2,4,6,7}:{(53,1),(54,1),(91,1),(101,1),(103,1),(104,1),(180,1),(199,1)}
        79:{1,2,6}:{(55,1),(56,1),(92,1),(105,1)}
        80:{1,3,7}:{(55,1),(57,1),(102,1),(105,1)}
        81:{2,3,7}:{(56,1),(57,1),(59,1),(105,1)}
        82:{3,6,7}:{(57,1),(58,1),(95,1),(108,1),(179,1)}
        83:{1,2,5,7}:{(58,1),(61,1),(96,1),(104,1),(108,1),(109,1),(146,1)}
        84:{2,4,6,7}:{(59,1),(60,1),(62,1),(97,1),(107,1),(109,1),(150,1)}
        85:{3,5,7}:{(60,1),(61,1),(98,1),(109,1),(110,1)}
        86:{2,5,6,7}:{(62,1),(63,1),(109,1),(111,1)}
        87:{4,6,7}:{(63,1),(110,1)}
        88:{1,4}:{(64,1),(67,1)}
        89:{2,3,4}:{(64,1),(68,1),(112,1)}
        90:{3,4,7}:{(64,1),(65,1),(69,1),(113,1),(115,1),(131,1),(201,1)}
        91:{2,4,6}:{(65,1),(66,1),(115,1),(116,1)}
        92:{1,2,5}:{(67,1),(68,1),(79,1),(112,1)}
        93:{1,3,5,7}:{(67,1),(69,1),(80,1),(113,1),(117,1),(118,1),(123,1),(153,1),(155,1),(182,1)}
        94:{2,3,5,7}:{(68,1),(69,1),(71,1),(81,1),(114,1),(117,1),(119,1),(156,1),(190,1)}
        95:{3,6}:{(69,1),(70,1)}
        96:{1,2,5,6}:{(70,1),(73,1),(83,1),(116,1),(120,1),(121,1),(125,1),(155,1),(162,1)}
        97:{2,4,6}:{(71,1),(72,1),(119,1),(121,1)}
        98:{3,5,6}:{(72,1),(73,1),(85,1),(121,1),(122,1)}
        99:{1,5}:{(74,1),(76,1)}
       100:{3,5,7}:{(74,1),(75,1),(77,1),(123,1),(124,1)}
       101:{2,4,6}:{(75,1),(124,1),(125,1),(163,1)}
       102:{1,4,7}:{(76,1),(77,1),(80,1),(123,1)}
       103:{3,4,6,7}:{(77,1),(78,1),(82,1),(115,1),(124,1),(126,1),(127,1),(131,1),(163,1),(166,1),(189,1)}
       104:{2,5,7}:{(78,1),(116,1),(125,1),(127,1)}
       105:{1,2,7}:{(79,1),(80,1),(81,1)}
       106:{1,3,6,7}:{(80,1),(82,1),(118,1),(126,1),(128,1),(129,1),(189,1)}
       107:{2,3,6,7}:{(81,1),(82,1),(84,1),(119,1),(128,1),(130,1),(133,1)}
       108:{3,5,7}:{(82,1),(83,1),(120,1),(131,1)}
       109:{2,5,7}:{(84,1),(85,1),(121,1)}
       110:{4,5,7}:{(85,1),(87,1),(122,1),(131,1)}
       111:{2,4,6,7}:{(86,1),(87,1),(132,1),(133,1)}
       112:{1,2,4}:{(88,1),(89,1),(92,1),(134,1)}
       113:{1,4,7}:{(88,1),(90,1),(93,1),(136,1),(193,1)}
       114:{2,3,4,7}:{(89,1),(90,1),(94,1),(135,1),(137,1),(150,1),(179,1),(180,1)}
       115:{3,4,6}:{(90,1),(91,1),(95,1),(136,1),(138,1),(142,1)}
       116:{2,5}:{(91,1),(138,1)}
       117:{1,2,5,7}:{(92,1),(93,1),(94,1),(105,1),(135,1),(139,1),(170,1)}
       118:{1,3,6}:{(93,1),(95,1),(136,1),(139,1),(144,1)}
       119:{2,3,6}:{(94,1),(95,1),(97,1),(139,1),(199,1)}
       120:{3,5,6}:{(95,1),(96,1),(108,1),(138,1),(142,1)}
       121:{2,5,6}:{(97,1),(98,1),(109,1)}
       122:{4,5,6}:{(98,1),(110,1),(142,1)}
       123:{1,5,7}:{(99,1),(100,1),(102,1),(144,1)}
       124:{3,6}:{(100,1),(101,1),(144,1)}
       125:{2,5,6}:{(101,1),(104,1),(145,1),(199,1)}
       126:{1,4,6,7}:{(102,1),(103,1),(106,1),(136,1),(144,1),(146,1),(149,1),(177,1)}
       127:{3,5,7}:{(103,1),(104,1),(138,1),(145,1),(146,1),(147,1)}
       128:{1,2,6,7}:{(105,1),(106,1),(107,1),(139,1),(148,1),(152,1),(199,1)}
       129:{1,3,5,7}:{(106,1),(108,1),(140,1),(146,1),(148,1),(149,1),(178,1),(179,1)}
       130:{2,3,5,7}:{(107,1),(108,1),(109,1),(141,1),(148,1),(150,1),(151,1),(179,1)}
       131:{4,7}:{(108,1),(142,1)}
       132:{2,4,5,7}:{(109,1),(110,1),(111,1),(143,1),(150,1),(151,1)}
       133:{3,6,7}:{(111,1),(151,1),(152,1)}
       134:{1,3}:{(112,1)}
       135:{1,2,4,7}:{(112,1),(113,1),(114,1),(117,1),(153,1),(154,1)}
       136:{1,4,6}:{(113,1),(115,1),(118,1),(155,1)}
       137:{2,3,4,6}:{(114,1),(115,1),(119,1),(154,1),(156,1),(160,1),(186,1),(187,1),(201,1)}
       138:{3,5}:{(115,1),(116,1),(155,1),(157,1)}
       139:{1,2,6}:{(117,1),(118,1),(119,1)}
       140:{1,3,5,6}:{(118,1),(120,1),(129,1),(155,1),(158,1),(159,1),(162,1),(182,1),(184,1),(186,1),(189,1)}
       141:{2,3,5,6}:{(119,1),(120,1),(121,1),(130,1),(156,1),(158,1),(160,1),(161,1),(186,1)}
       142:{4,6}:{(120,1),(131,1),(157,1)}
       143:{2,4,5,6}:{(121,1),(122,1),(132,1),(160,1),(161,1)}
       144:{1,6}:{(123,1),(124,1)}
       145:{3,5,6}:{(124,1),(125,1),(127,1),(162,1),(163,1),(189,1)}
       146:{1,5,7}:{(126,1),(127,1),(155,1),(162,1)}
       147:{4,5,7}:{(127,1),(131,1),(157,1),(163,1)}
       148:{1,2,5,7}:{(128,1),(129,1),(130,1),(158,1),(165,1),(168,1),(190,1)}
       149:{1,4,7}:{(129,1),(131,1),(159,1),(166,1)}
       150:{2,4,7}:{(130,1),(131,1),(160,1),(167,1)}
       151:{3,5,7}:{(132,1),(133,1),(161,1),(167,1),(168,1)}
       152:{1,6,7}:{(133,1),(168,1)}
       153:{1,3,7}:{(134,1),(135,1),(169,1),(179,1)}
       154:{1,2,4,6}:{(135,1),(136,1),(137,1),(139,1),(169,1),(170,1),(193,1)}
       155:{1,5}:{(136,1),(138,1)}
       156:{2,3,5}:{(137,1),(138,1),(170,1),(172,1),(194,1),(195,1)}
       157:{4,5}:{(138,1),(142,1)}
       158:{1,2,5,6}:{(139,1),(140,1),(141,1),(148,1),(170,1),(173,1),(176,1),(195,1),(199,1)}
       159:{1,4,6}:{(140,1),(142,1),(149,1),(171,1),(174,1),(193,1)}
       160:{2,4,6}:{(141,1),(142,1),(150,1),(172,1),(175,1)}
       161:{3,5,6}:{(143,1),(151,1),(175,1),(176,1)}
       162:{1,5,6}:{(144,1),(145,1),(146,1),(177,1)}
       163:{4,6}:{(145,1),(147,1)}
       164:{1,4,5,7}:{(146,1),(147,1),(149,1),(171,1),(177,1),(178,1)}
       165:{1,2,4,7}:{(148,1),(149,1),(150,1),(173,1),(179,1),(180,1),(181,1),(200,1)}
       166:{3,4,7}:{(149,1),(174,1),(178,1),(179,1),(180,1)}
       167:{3,4,7}:{(150,1),(151,1),(175,1),(179,1),(181,1)}
       168:{1,5,7}:{(151,1),(152,1),(176,1),(181,1)}
       169:{1,3,6}:{(153,1),(154,1),(182,1),(186,1)}
       170:{1,2,5}:{(154,1),(155,1),(156,1),(182,1)}
       171:{1,4,5}:{(155,1),(157,1),(159,1),(184,1)}
       172:{2,4,5}:{(156,1),(157,1),(160,1),(185,1)}
       173:{1,2,4,6}:{(158,1),(159,1),(160,1),(165,1),(183,1),(186,1),(187,1),(188,1),(204,1)}
       174:{3,4,6}:{(159,1),(166,1),(184,1),(186,1),(187,1),(189,1),(201,1)}
       175:{3,4,6}:{(160,1),(161,1),(167,1),(185,1),(186,1),(188,1)}
       176:{1,5,6}:{(161,1),(168,1),(188,1)}
       177:{1,4,6}:{(162,1),(163,1),(164,1),(189,1)}
       178:{3,5,7}:{(164,1),(166,1),(184,1),(189,1),(190,1)}
       179:{3,7}:{(165,1),(186,1)}
       180:{2,4,7}:{(166,1),(187,1),(190,1),(192,1)}
       181:{1,4,7}:{(167,1),(168,1),(188,1),(191,1)}
       182:{1,3,5}:{(169,1),(170,1),(193,1),(194,1)}
       183:{1,2,4,5}:{(170,1),(171,1),(172,1),(173,1),(193,1),(194,1),(195,1),(196,1),(206,1),(207,1)}
       184:{3,5}:{(171,1),(174,1),(195,1)}
       185:{3,4,5}:{(172,1),(175,1),(194,1),(196,1)}
       186:{3,6}:{(173,1),(179,1),(194,1)}
       187:{2,4,6}:{(174,1),(180,1),(195,1),(198,1),(199,1),(206,1)}
       188:{1,4,6}:{(175,1),(176,1),(181,1),(196,1),(197,1)}
       189:{3,6}:{(177,1),(178,1),(199,1)}
       190:{2,5,7}:{(178,1),(180,1),(195,1),(199,1)}
       191:{1,3,7}:{(179,1),(181,1),(197,1),(200,1)}
       192:{2,3,7}:{(179,1),(180,1),(198,1),(200,1)}
       193:{1,4}:{(182,1),(201,1)}
       194:{3,5}:{(183,1),(186,1),(201,1)}
       195:{2,5}:{(184,1),(187,1)}
       196:{1,4,5}:{(185,1),(188,1),(202,1)}
       197:{1,3,6}:{(186,1),(188,1),(191,1),(202,1),(204,1)}
       198:{2,3,6}:{(186,1),(187,1),(192,1),(203,1),(204,1)}
       199:{2,6}:{(189,1),(190,1)}
       200:{1,2,7}:{(191,1),(192,1),(204,1)}
       201:{3,4}:{(193,1),(194,1),(206,1)}
       202:{1,3,5}:{(194,1),(196,1),(197,1),(205,1),(207,1)}
       203:{2,3,5}:{(194,1),(195,1),(198,1),(206,1),(207,1),(209,1)}
       204:{1,2,6}:{(197,1),(198,1),(200,1),(207,1)}
       205:{1,3,4}:{(201,1),(202,1),(208,1)}
       206:{2,4}:{(201,1),(203,1)}
       207:{1,2,5}:{(202,1),(203,1),(204,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{2,3}:{(208,1)}

 908 :   0:{2,3,4,6}:{(3,1),(4,1),(5,1),(7,1),(31,1),(34,1),(64,1),(76,1),(115,1)}
         1:{2,3,5,6}:{(4,1),(6,1),(7,1),(8,1),(9,1),(31,1),(34,1),(73,1),(120,1)}
         2:{2,4,5,6}:{(7,1),(9,1),(10,1),(73,1),(122,1)}
         3:{1,2,4,6}:{(0,1),(11,1),(12,1),(13,1),(43,1),(47,1),(91,1)}
         4:{2,3,5}:{(0,1),(12,1),(14,1),(45,1),(99,1),(138,1)}
         5:{2,3,4,7}:{(0,1),(13,1),(15,1),(20,1),(57,1),(90,1),(102,1),(206,1)}
         6:{1,2,5,6}:{(1,1),(12,1),(16,1),(17,1),(18,1),(22,1),(47,1),(99,1),(144,1)}
         7:{2,4,6}:{(1,1),(14,1),(19,1),(20,1),(142,1)}
         8:{2,3,5,7}:{(1,1),(18,1),(20,1),(21,1),(23,1),(57,1),(61,1),(108,1)}
         9:{3,5,6}:{(2,1),(19,1),(22,1),(23,1)}
        10:{2,4,5,7}:{(2,1),(20,1),(23,1),(24,1),(61,1),(110,1)}
        11:{1,3,6}:{(3,1),(25,1),(26,1),(34,1)}
        12:{1,2,5}:{(3,1),(4,1),(25,1),(116,1)}
        13:{1,2,4,7}:{(3,1),(5,1),(26,1),(28,1),(65,1),(208,1)}
        14:{2,4,5}:{(4,1),(7,1),(29,1),(157,1)}
        15:{2,3,5,7}:{(4,1),(5,1),(28,1),(30,1),(31,1),(69,1),(123,1),(192,1),(203,1)}
        16:{1,3,5,6}:{(6,1),(25,1),(32,1),(33,1),(34,1),(66,1),(74,1),(116,1),(120,1),(124,1),(125,1)}
        17:{1,2,4,6}:{(6,1),(7,1),(27,1),(32,1),(34,1),(35,1),(37,1),(76,1),(79,1)}
        18:{1,2,5,7}:{(6,1),(8,1),(33,1),(35,1),(36,1),(40,1),(123,1)}
        19:{3,4,6}:{(7,1),(9,1),(29,1),(34,1),(37,1),(38,1)}
        20:{2,4,7}:{(7,1),(8,1),(38,1),(131,1)}
        21:{2,3,6,7}:{(8,1),(31,1),(36,1),(39,1),(41,1),(82,1),(192,1)}
        22:{1,5,6}:{(9,1),(37,1),(40,1)}
        23:{3,5,7}:{(9,1),(10,1),(38,1),(40,1),(41,1)}
        24:{2,4,6,7}:{(10,1),(41,1),(42,1),(87,1)}
        25:{1,3,5}:{(11,1),(12,1),(43,1),(45,1)}
        26:{1,3,7}:{(11,1),(13,1),(57,1),(209,1)}
        27:{1,2,4,5}:{(12,1),(14,1),(17,1),(43,1),(45,1),(48,1),(51,1),(89,1),(92,1),(99,1)}
        28:{1,2,5,7}:{(12,1),(13,1),(15,1),(44,1),(47,1),(200,1),(207,1)}
        29:{3,4,5}:{(14,1),(19,1),(45,1),(48,1)}
        30:{2,4,5,7}:{(14,1),(15,1),(20,1),(49,1),(50,1),(61,1),(180,1),(195,1)}
        31:{2,3,6}:{(15,1),(47,1),(50,1),(95,1),(144,1)}
        32:{1,4,6}:{(16,1),(43,1),(51,1),(52,1),(53,1),(142,1)}
        33:{1,3,5,7}:{(16,1),(18,1),(53,1),(54,1),(57,1),(100,1),(104,1),(108,1)}
        34:{3,6}:{(17,1),(45,1),(57,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(20,1),(53,1),(57,1),(59,1),(102,1),(105,1)}
        36:{1,2,6,7}:{(18,1),(21,1),(47,1),(54,1),(62,1),(144,1),(200,1)}
        37:{1,4,6}:{(19,1),(22,1),(48,1),(55,1),(59,1)}
        38:{3,4,7}:{(19,1),(20,1),(23,1),(57,1),(59,1)}
        39:{2,4,6,7}:{(20,1),(21,1),(50,1),(60,1),(61,1),(152,1),(180,1)}
        40:{1,5,7}:{(22,1),(23,1),(59,1),(62,1)}
        41:{3,6,7}:{(23,1),(24,1),(62,1)}
        42:{2,5,6,7}:{(24,1),(61,1),(63,1),(152,1)}
        43:{1,4}:{(25,1),(64,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(28,1),(65,1),(66,1),(69,1),(116,1),(190,1),(191,1),(202,1)}
        45:{3,5}:{(27,1),(34,1),(64,1)}
        46:{1,2,4,5,7}:{(27,1),(28,1),(30,1),(35,1),(65,1),(69,1),(70,1),(71,1),(75,1),(83,1),(114,1),(116,1),(117,1),(123,1),(131,1),(156,1),(157,1),(164,1),(165,1),(183,1),(190,1)}
        47:{1,2,6}:{(28,1),(31,1),(66,1)}
        48:{1,4,5}:{(29,1),(37,1),(67,1)}
        49:{3,4,5,7}:{(29,1),(30,1),(38,1),(69,1),(71,1),(72,1),(85,1),(131,1),(157,1),(166,1),(184,1)}
        50:{2,4,6}:{(30,1),(31,1),(72,1),(73,1)}
        51:{1,4,5}:{(32,1),(74,1),(116,1),(157,1)}
        52:{3,4,6}:{(32,1),(34,1),(64,1),(74,1),(76,1),(77,1),(124,1)}
        53:{1,4,7}:{(32,1),(33,1),(77,1),(131,1)}
        54:{1,3,6,7}:{(33,1),(36,1),(66,1),(78,1),(82,1),(124,1),(191,1)}
        55:{1,3,6}:{(34,1),(37,1),(67,1),(79,1),(80,1)}
        56:{2,3,6}:{(34,1),(68,1),(76,1),(79,1),(81,1)}
        57:{3,7}:{(34,1),(35,1)}
        58:{1,2,4,6,7}:{(35,1),(36,1),(39,1),(70,1),(78,1),(82,1),(83,1),(84,1),(126,1),(128,1),(131,1),(165,1)}
        59:{1,4,7}:{(37,1),(38,1),(40,1),(80,1)}
        60:{3,4,6,7}:{(38,1),(39,1),(41,1),(72,1),(82,1),(84,1),(85,1),(87,1),(131,1),(133,1),(166,1)}
        61:{2,5,7}:{(39,1),(73,1),(85,1)}
        62:{1,6,7}:{(40,1),(41,1)}
        63:{3,5,6,7}:{(41,1),(42,1),(85,1),(86,1),(87,1),(133,1)}
        64:{3,4}:{(43,1),(45,1),(89,1)}
        65:{1,4,7}:{(43,1),(44,1),(90,1),(91,1),(205,1)}
        66:{1,3,6}:{(44,1),(47,1),(91,1),(95,1),(199,1)}
        67:{1,3,5}:{(45,1),(48,1),(55,1),(88,1),(92,1)}
        68:{2,3,5}:{(45,1),(56,1),(89,1),(92,1),(99,1),(134,1)}
        69:{3,5,7}:{(45,1),(46,1),(57,1),(90,1),(95,1),(138,1),(179,1),(194,1)}
        70:{1,2,4,6}:{(46,1),(47,1),(50,1),(91,1),(95,1),(96,1),(97,1),(101,1),(137,1),(139,1),(142,1),(144,1),(177,1),(199,1)}
        71:{1,4,5,7}:{(48,1),(49,1),(59,1),(93,1),(97,1),(109,1),(149,1),(171,1)}
        72:{3,4,6}:{(49,1),(50,1),(95,1),(97,1),(98,1),(142,1)}
        73:{2,5,6}:{(50,1),(61,1),(98,1)}
        74:{3,5}:{(51,1),(52,1),(99,1)}
        75:{1,4,5,7}:{(51,1),(53,1),(100,1),(101,1),(104,1),(147,1)}
        76:{2,4,6}:{(52,1),(56,1),(89,1),(99,1),(102,1),(144,1)}
        77:{3,4,7}:{(52,1),(53,1),(57,1),(100,1),(102,1)}
        78:{1,4,6,7}:{(53,1),(54,1),(91,1),(101,1),(103,1),(104,1),(181,1),(199,1)}
        79:{1,2,6}:{(55,1),(56,1),(92,1),(105,1)}
        80:{1,3,7}:{(55,1),(57,1),(59,1),(105,1)}
        81:{2,3,7}:{(56,1),(57,1),(102,1),(105,1)}
        82:{3,6,7}:{(57,1),(58,1),(95,1),(108,1),(179,1)}
        83:{1,2,5,7}:{(58,1),(61,1),(96,1),(104,1),(108,1),(109,1),(146,1)}
        84:{1,4,6,7}:{(59,1),(60,1),(62,1),(97,1),(106,1),(109,1),(149,1)}
        85:{3,5,7}:{(60,1),(61,1),(98,1),(109,1),(110,1)}
        86:{1,5,6,7}:{(62,1),(63,1),(109,1),(111,1)}
        87:{4,6,7}:{(63,1),(110,1)}
        88:{1,3,4}:{(64,1),(67,1),(112,1)}
        89:{2,4}:{(64,1),(68,1)}
        90:{3,4,7}:{(64,1),(65,1),(69,1),(114,1),(115,1),(131,1),(201,1)}
        91:{1,4,6}:{(65,1),(66,1),(115,1),(116,1)}
        92:{1,2,5}:{(67,1),(68,1),(79,1),(112,1)}
        93:{1,3,5,7}:{(67,1),(69,1),(71,1),(80,1),(113,1),(117,1),(118,1),(155,1),(190,1)}
        94:{2,3,5,7}:{(68,1),(69,1),(81,1),(114,1),(117,1),(119,1),(123,1),(153,1),(156,1),(182,1)}
        95:{3,6}:{(69,1),(70,1)}
        96:{1,2,5,6}:{(70,1),(73,1),(83,1),(116,1),(120,1),(121,1),(125,1),(156,1),(162,1)}
        97:{1,4,6}:{(71,1),(72,1),(118,1),(121,1)}
        98:{3,5,6}:{(72,1),(73,1),(85,1),(121,1),(122,1)}
        99:{2,5}:{(74,1),(76,1)}
       100:{3,5,7}:{(74,1),(75,1),(77,1),(123,1),(124,1)}
       101:{1,4,6}:{(75,1),(124,1),(125,1),(163,1)}
       102:{2,4,7}:{(76,1),(77,1),(81,1),(123,1)}
       103:{3,4,6,7}:{(77,1),(78,1),(82,1),(115,1),(124,1),(126,1),(127,1),(131,1),(163,1),(167,1),(189,1)}
       104:{1,5,7}:{(78,1),(116,1),(125,1),(127,1)}
       105:{1,2,7}:{(79,1),(80,1),(81,1)}
       106:{1,3,6,7}:{(80,1),(82,1),(84,1),(118,1),(128,1),(129,1),(133,1)}
       107:{2,3,6,7}:{(81,1),(82,1),(119,1),(126,1),(128,1),(130,1),(189,1)}
       108:{3,5,7}:{(82,1),(83,1),(120,1),(131,1)}
       109:{1,5,7}:{(84,1),(85,1),(121,1)}
       110:{4,5,7}:{(85,1),(87,1),(122,1),(131,1)}
       111:{1,4,6,7}:{(86,1),(87,1),(132,1),(133,1)}
       112:{1,2,4}:{(88,1),(89,1),(92,1),(134,1)}
       113:{1,3,4,7}:{(88,1),(90,1),(93,1),(135,1),(136,1),(149,1),(179,1),(181,1)}
       114:{2,4,7}:{(89,1),(90,1),(94,1),(137,1),(193,1)}
       115:{3,4,6}:{(90,1),(91,1),(95,1),(137,1),(138,1),(142,1)}
       116:{1,5}:{(91,1),(138,1)}
       117:{1,2,5,7}:{(92,1),(93,1),(94,1),(105,1),(135,1),(139,1),(170,1)}
       118:{1,3,6}:{(93,1),(95,1),(97,1),(139,1),(199,1)}
       119:{2,3,6}:{(94,1),(95,1),(137,1),(139,1),(144,1)}
       120:{3,5,6}:{(95,1),(96,1),(108,1),(138,1),(142,1)}
       121:{1,5,6}:{(97,1),(98,1),(109,1)}
       122:{4,5,6}:{(98,1),(110,1),(142,1)}
       123:{2,5,7}:{(99,1),(100,1),(102,1),(144,1)}
       124:{3,6}:{(100,1),(101,1),(144,1)}
       125:{1,5,6}:{(101,1),(104,1),(145,1),(199,1)}
       126:{2,4,6,7}:{(102,1),(103,1),(107,1),(137,1),(144,1),(146,1),(150,1),(177,1)}
       127:{3,5,7}:{(103,1),(104,1),(138,1),(145,1),(146,1),(147,1)}
       128:{1,2,6,7}:{(105,1),(106,1),(107,1),(139,1),(148,1),(152,1),(199,1)}
       129:{1,3,5,7}:{(106,1),(108,1),(109,1),(140,1),(148,1),(149,1),(151,1),(179,1)}
       130:{2,3,5,7}:{(107,1),(108,1),(141,1),(146,1),(148,1),(150,1),(178,1),(179,1)}
       131:{4,7}:{(108,1),(142,1)}
       132:{1,4,5,7}:{(109,1),(110,1),(111,1),(143,1),(149,1),(151,1)}
       133:{3,6,7}:{(111,1),(151,1),(152,1)}
       134:{2,3}:{(112,1)}
       135:{1,2,4,7}:{(112,1),(113,1),(114,1),(117,1),(153,1),(154,1)}
       136:{1,3,4,6}:{(113,1),(115,1),(118,1),(154,1),(155,1),(159,1),(186,1),(188,1),(201,1)}
       137:{2,4,6}:{(114,1),(115,1),(119,1),(156,1)}
       138:{3,5}:{(115,1),(116,1),(156,1),(157,1)}
       139:{1,2,6}:{(117,1),(118,1),(119,1)}
       140:{1,3,5,6}:{(118,1),(120,1),(121,1),(129,1),(155,1),(158,1),(159,1),(161,1),(186,1)}
       141:{2,3,5,6}:{(119,1),(120,1),(130,1),(156,1),(158,1),(160,1),(162,1),(182,1),(185,1),(186,1),(189,1)}
       142:{4,6}:{(120,1),(131,1),(157,1)}
       143:{1,4,5,6}:{(121,1),(122,1),(132,1),(159,1),(161,1)}
       144:{2,6}:{(123,1),(124,1)}
       145:{3,5,6}:{(124,1),(125,1),(127,1),(162,1),(163,1),(189,1)}
       146:{2,5,7}:{(126,1),(127,1),(156,1),(162,1)}
       147:{4,5,7}:{(127,1),(131,1),(157,1),(163,1)}
       148:{1,2,5,7}:{(128,1),(129,1),(130,1),(158,1),(165,1),(168,1),(190,1)}
       149:{1,4,7}:{(129,1),(131,1),(159,1),(166,1)}
       150:{2,4,7}:{(130,1),(131,1),(160,1),(167,1)}
       151:{3,5,7}:{(132,1),(133,1),(161,1),(166,1),(168,1)}
       152:{2,6,7}:{(133,1),(168,1)}
       153:{2,3,7}:{(134,1),(135,1),(169,1),(179,1)}
       154:{1,2,4,6}:{(135,1),(136,1),(137,1),(139,1),(169,1),(170,1),(193,1)}
       155:{1,3,5}:{(136,1),(138,1),(170,1),(171,1),(194,1),(196,1)}
       156:{2,5}:{(137,1),(138,1)}
       157:{4,5}:{(138,1),(142,1)}
       158:{1,2,5,6}:{(139,1),(140,1),(141,1),(148,1),(170,1),(173,1),(176,1),(196,1),(199,1)}
       159:{1,4,6}:{(140,1),(142,1),(149,1),(171,1),(174,1)}
       160:{2,4,6}:{(141,1),(142,1),(150,1),(172,1),(175,1),(193,1)}
       161:{3,5,6}:{(143,1),(151,1),(174,1),(176,1)}
       162:{2,5,6}:{(144,1),(145,1),(146,1),(177,1)}
       163:{4,6}:{(145,1),(147,1)}
       164:{2,4,5,7}:{(146,1),(147,1),(150,1),(172,1),(177,1),(178,1)}
       165:{1,2,4,7}:{(148,1),(149,1),(150,1),(173,1),(179,1),(180,1),(181,1),(200,1)}
       166:{3,4,7}:{(149,1),(151,1),(174,1),(179,1),(180,1)}
       167:{3,4,7}:{(150,1),(175,1),(178,1),(179,1),(181,1)}
       168:{2,5,7}:{(151,1),(152,1),(176,1),(180,1)}
       169:{2,3,6}:{(153,1),(154,1),(182,1),(186,1)}
       170:{1,2,5}:{(154,1),(155,1),(156,1),(182,1)}
       171:{1,4,5}:{(155,1),(157,1),(159,1),(184,1)}
       172:{2,4,5}:{(156,1),(157,1),(160,1),(185,1)}
       173:{1,2,4,6}:{(158,1),(159,1),(160,1),(165,1),(183,1),(186,1),(187,1),(188,1),(204,1)}
       174:{3,4,6}:{(159,1),(161,1),(166,1),(184,1),(186,1),(187,1)}
       175:{3,4,6}:{(160,1),(167,1),(185,1),(186,1),(188,1),(189,1),(201,1)}
       176:{2,5,6}:{(161,1),(168,1),(187,1)}
       177:{2,4,6}:{(162,1),(163,1),(164,1),(189,1)}
       178:{3,5,7}:{(164,1),(167,1),(185,1),(189,1),(190,1)}
       179:{3,7}:{(165,1),(186,1)}
       180:{2,4,7}:{(166,1),(168,1),(187,1),(192,1)}
       181:{1,4,7}:{(167,1),(188,1),(190,1),(191,1)}
       182:{2,3,5}:{(169,1),(170,1),(193,1),(194,1)}
       183:{1,2,4,5}:{(170,1),(171,1),(172,1),(173,1),(193,1),(194,1),(195,1),(196,1),(205,1),(207,1)}
       184:{3,4,5}:{(171,1),(174,1),(194,1),(195,1)}
       185:{3,5}:{(172,1),(175,1),(196,1)}
       186:{3,6}:{(173,1),(179,1),(194,1)}
       187:{2,4,6}:{(174,1),(176,1),(180,1),(195,1),(198,1)}
       188:{1,4,6}:{(175,1),(181,1),(196,1),(197,1),(199,1),(205,1)}
       189:{3,6}:{(177,1),(178,1),(199,1)}
       190:{1,5,7}:{(178,1),(181,1),(196,1),(199,1)}
       191:{1,3,7}:{(179,1),(181,1),(197,1),(200,1)}
       192:{2,3,7}:{(179,1),(180,1),(198,1),(200,1)}
       193:{2,4}:{(182,1),(201,1)}
       194:{3,5}:{(183,1),(186,1),(201,1)}
       195:{2,4,5}:{(184,1),(187,1),(203,1)}
       196:{1,5}:{(185,1),(188,1)}
       197:{1,3,6}:{(186,1),(188,1),(191,1),(202,1),(204,1)}
       198:{2,3,6}:{(186,1),(187,1),(192,1),(203,1),(204,1)}
       199:{1,6}:{(189,1),(190,1)}
       200:{1,2,7}:{(191,1),(192,1),(204,1)}
       201:{3,4}:{(193,1),(194,1),(205,1)}
       202:{1,3,5}:{(194,1),(196,1),(197,1),(205,1),(207,1),(209,1)}
       203:{2,3,5}:{(194,1),(195,1),(198,1),(206,1),(207,1)}
       204:{1,2,6}:{(197,1),(198,1),(200,1),(207,1)}
       205:{1,4}:{(201,1),(202,1)}
       206:{2,3,4}:{(201,1),(203,1),(208,1)}
       207:{1,2,5}:{(202,1),(203,1),(204,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{1,3}:{(208,1)}

 909 :   0:{1,2,3,6}:{(3,1),(4,1),(5,1),(66,1),(119,1)}
         1:{2,3,4,6}:{(4,1),(6,1),(7,1),(20,1),(27,1),(30,1),(66,1),(68,1)}
         2:{1,3,4,6}:{(4,1),(8,1),(9,1),(20,1),(32,1),(35,1),(66,1),(68,1)}
         3:{1,2,3,5}:{(0,1),(10,1),(12,1),(36,1),(39,1),(89,1)}
         4:{1,2,4,6}:{(0,1),(1,1),(2,1),(10,1),(12,1),(13,1),(45,1)}
         5:{1,2,3,7}:{(0,1),(13,1),(98,1),(147,1),(222,1)}
         6:{2,3,5}:{(1,1),(12,1),(14,1),(39,1),(100,1)}
         7:{2,3,4,7}:{(1,1),(13,1),(16,1),(40,1),(50,1),(98,1),(192,1)}
         8:{1,3,5}:{(2,1),(12,1),(17,1),(39,1),(100,1)}
         9:{1,3,4,7}:{(2,1),(13,1),(19,1),(40,1),(57,1),(98,1),(191,1)}
        10:{1,2,4}:{(3,1),(20,1)}
        11:{1,2,3,5,7}:{(3,1),(5,1),(22,1),(23,1),(25,1),(61,1),(67,1),(71,1),(120,1),(122,1)}
        12:{1,2,5}:{(4,1),(6,1),(8,1)}
        13:{1,2,4,7}:{(4,1),(5,1),(7,1),(9,1),(25,1),(209,1)}
        14:{2,4,5}:{(6,1),(26,1),(27,1),(131,1)}
        15:{2,3,5,6}:{(6,1),(24,1),(27,1),(29,1),(30,1),(66,1),(73,1),(80,1),(130,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(25,1),(28,1),(30,1),(67,1),(208,1),(228,1)}
        17:{1,4,5}:{(8,1),(31,1),(32,1),(131,1)}
        18:{1,3,5,6}:{(8,1),(24,1),(32,1),(34,1),(35,1),(66,1),(81,1),(88,1),(130,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(25,1),(33,1),(35,1),(67,1),(207,1),(227,1)}
        20:{3,4}:{(10,1),(39,1)}
        21:{1,2,4,5}:{(10,1),(12,1),(14,1),(17,1),(39,1),(41,1),(47,1),(54,1),(89,1)}
        22:{1,2,4,7}:{(10,1),(11,1),(40,1),(43,1),(150,1)}
        23:{1,2,3,6}:{(11,1),(43,1),(45,1),(99,1),(148,1)}
        24:{1,2,5,6}:{(12,1),(15,1),(18,1),(41,1),(44,1),(45,1),(103,1),(111,1)}
        25:{1,2,5,7}:{(12,1),(13,1),(16,1),(19,1),(45,1),(221,1),(230,1)}
        26:{3,4,5}:{(14,1),(39,1),(47,1),(48,1)}
        27:{2,4,6}:{(14,1),(15,1),(48,1),(50,1),(158,1)}
        28:{2,4,5,7}:{(14,1),(16,1),(49,1),(50,1),(51,1),(110,1),(198,1),(224,1)}
        29:{2,3,5,7}:{(15,1),(44,1),(50,1),(52,1),(98,1),(104,1),(110,1),(157,1)}
        30:{2,3,6}:{(16,1),(45,1),(51,1),(99,1)}
        31:{3,4,5}:{(17,1),(39,1),(54,1),(55,1)}
        32:{1,4,6}:{(17,1),(18,1),(55,1),(57,1),(158,1)}
        33:{1,4,5,7}:{(17,1),(19,1),(56,1),(57,1),(58,1),(118,1),(195,1),(223,1)}
        34:{1,3,5,7}:{(18,1),(44,1),(57,1),(59,1),(98,1),(112,1),(118,1),(157,1)}
        35:{1,3,6}:{(19,1),(45,1),(58,1),(99,1)}
        36:{1,2,3}:{(60,1)}
        37:{2,3,4}:{(20,1),(60,1),(62,1)}
        38:{1,3,4}:{(20,1),(60,1),(64,1)}
        39:{3,5}:{(20,1),(21,1),(66,1)}
        40:{3,4,7}:{(20,1),(22,1),(67,1),(68,1),(172,1),(179,1)}
        41:{1,2,4,6}:{(21,1),(24,1),(27,1),(32,1),(66,1),(69,1),(75,1),(83,1),(119,1)}
        42:{1,2,4,5,7}:{(21,1),(22,1),(25,1),(28,1),(33,1),(67,1),(69,1),(70,1),(71,1),(76,1),(84,1),(120,1),(131,1),(132,1),(171,1),(179,1),(205,1)}
        43:{1,2,4,6}:{(22,1),(23,1),(68,1),(71,1)}
        44:{1,2,5,7}:{(24,1),(29,1),(34,1),(69,1),(72,1),(133,1),(140,1)}
        45:{1,2,6}:{(25,1),(30,1),(35,1)}
        46:{2,4,5,6}:{(27,1),(73,1),(74,1),(80,1),(139,1)}
        47:{1,4,5}:{(26,1),(64,1),(75,1)}
        48:{3,4,6}:{(26,1),(27,1),(66,1),(73,1),(75,1),(77,1)}
        49:{3,4,5,7}:{(26,1),(28,1),(67,1),(76,1),(77,1),(78,1),(131,1),(138,1),(178,1),(179,1),(212,1)}
        50:{2,4,7}:{(27,1),(29,1),(77,1),(179,1)}
        51:{2,4,6}:{(28,1),(30,1),(78,1),(80,1)}
        52:{2,3,6,7}:{(29,1),(30,1),(72,1),(79,1),(129,1),(134,1),(228,1)}
        53:{1,4,5,6}:{(32,1),(81,1),(82,1),(88,1),(146,1)}
        54:{2,4,5}:{(31,1),(62,1),(83,1)}
        55:{3,4,6}:{(31,1),(32,1),(66,1),(81,1),(83,1),(85,1)}
        56:{3,4,5,7}:{(31,1),(33,1),(67,1),(84,1),(85,1),(86,1),(131,1),(145,1),(175,1),(179,1),(210,1)}
        57:{1,4,7}:{(32,1),(34,1),(85,1),(179,1)}
        58:{1,4,6}:{(33,1),(35,1),(86,1),(88,1)}
        59:{1,3,6,7}:{(34,1),(35,1),(72,1),(87,1),(129,1),(141,1),(227,1)}
        60:{1,2,4}:{(36,1),(37,1),(38,1),(89,1)}
        61:{1,2,3,7}:{(36,1),(90,1),(91,1),(218,1),(230,1)}
        62:{2,3,5}:{(37,1),(39,1),(54,1),(89,1),(92,1)}
        63:{2,3,4,7}:{(37,1),(40,1),(90,1),(93,1),(94,1),(193,1),(218,1)}
        64:{1,3,5}:{(38,1),(39,1),(47,1),(89,1),(95,1)}
        65:{1,3,4,7}:{(38,1),(40,1),(90,1),(96,1),(97,1),(196,1),(218,1)}
        66:{3,6}:{(39,1),(41,1),(98,1)}
        67:{3,5,7}:{(39,1),(40,1),(42,1),(98,1),(99,1),(100,1),(190,1),(218,1)}
        68:{3,4,6}:{(40,1),(43,1),(99,1),(100,1),(158,1)}
        69:{1,2,4,7}:{(41,1),(44,1),(50,1),(57,1),(98,1),(106,1),(114,1),(147,1)}
        70:{1,2,4,6}:{(42,1),(45,1),(51,1),(58,1),(99,1),(102,1),(107,1),(115,1),(148,1),(158,1)}
        71:{1,2,5}:{(43,1),(100,1)}
        72:{1,2,6,7}:{(44,1),(45,1),(52,1),(59,1),(159,1),(164,1),(230,1)}
        73:{3,5,6}:{(46,1),(48,1),(103,1),(104,1)}
        74:{2,4,5,7}:{(46,1),(50,1),(104,1),(105,1),(110,1),(163,1)}
        75:{1,4,6}:{(47,1),(48,1),(95,1),(103,1),(106,1)}
        76:{1,4,5,7}:{(47,1),(49,1),(96,1),(106,1),(107,1),(156,1),(161,1),(196,1)}
        77:{3,4,7}:{(48,1),(50,1),(98,1),(104,1),(106,1)}
        78:{3,4,6}:{(49,1),(51,1),(99,1),(107,1),(109,1),(158,1)}
        79:{2,4,6,7}:{(50,1),(51,1),(52,1),(108,1),(110,1),(224,1),(225,1)}
        80:{2,5,6}:{(51,1),(109,1),(110,1)}
        81:{3,5,6}:{(53,1),(55,1),(111,1),(112,1)}
        82:{1,4,5,7}:{(53,1),(57,1),(112,1),(113,1),(118,1),(168,1)}
        83:{2,4,6}:{(54,1),(55,1),(92,1),(111,1),(114,1)}
        84:{2,4,5,7}:{(54,1),(56,1),(93,1),(114,1),(115,1),(153,1),(166,1),(193,1)}
        85:{3,4,7}:{(55,1),(57,1),(98,1),(112,1),(114,1)}
        86:{3,4,6}:{(56,1),(58,1),(99,1),(115,1),(117,1),(158,1)}
        87:{1,4,6,7}:{(57,1),(58,1),(59,1),(116,1),(118,1),(223,1),(226,1)}
        88:{1,5,6}:{(58,1),(117,1),(118,1)}
        89:{1,2,5}:{(60,1),(62,1),(64,1),(119,1)}
        90:{1,2,4,7}:{(60,1),(61,1),(63,1),(65,1),(120,1),(121,1)}
        91:{1,2,3,6}:{(61,1),(121,1),(122,1),(206,1),(229,1)}
        92:{2,3,6}:{(62,1),(66,1),(83,1),(119,1),(123,1)}
        93:{2,3,5,7}:{(62,1),(63,1),(67,1),(84,1),(120,1),(123,1),(124,1),(125,1)}
        94:{2,3,4,6}:{(63,1),(68,1),(121,1),(124,1),(125,1),(172,1),(174,1),(206,1)}
        95:{1,3,6}:{(64,1),(66,1),(75,1),(119,1),(126,1)}
        96:{1,3,5,7}:{(64,1),(65,1),(67,1),(76,1),(120,1),(126,1),(127,1),(128,1)}
        97:{1,3,4,6}:{(65,1),(68,1),(121,1),(127,1),(128,1),(172,1),(177,1),(206,1)}
        98:{3,7}:{(66,1),(69,1)}
        99:{3,6}:{(67,1),(70,1)}
       100:{3,5}:{(68,1),(71,1),(131,1)}
       101:{1,2,4,6,7}:{(69,1),(70,1),(72,1),(79,1),(87,1),(129,1),(132,1),(136,1),(143,1),(169,1),(179,1),(205,1)}
       102:{1,2,5,6}:{(70,1),(71,1),(80,1),(88,1),(130,1),(132,1),(137,1),(144,1)}
       103:{1,5,6}:{(73,1),(75,1),(133,1)}
       104:{3,5,7}:{(73,1),(74,1),(77,1),(133,1),(134,1)}
       105:{2,4,6,7}:{(74,1),(134,1),(135,1),(181,1)}
       106:{1,4,7}:{(75,1),(77,1),(126,1),(133,1)}
       107:{1,4,6}:{(76,1),(78,1),(127,1),(137,1)}
       108:{3,4,6,7}:{(77,1),(78,1),(79,1),(129,1),(134,1),(136,1),(138,1),(179,1),(181,1),(212,1),(214,1)}
       109:{3,5,6}:{(78,1),(80,1),(137,1),(138,1),(139,1)}
       110:{2,5,7}:{(79,1),(80,1),(138,1)}
       111:{2,5,6}:{(81,1),(83,1),(140,1)}
       112:{3,5,7}:{(81,1),(82,1),(85,1),(140,1),(141,1)}
       113:{1,4,6,7}:{(82,1),(141,1),(142,1),(185,1)}
       114:{2,4,7}:{(83,1),(85,1),(123,1),(140,1)}
       115:{2,4,6}:{(84,1),(86,1),(124,1),(144,1)}
       116:{3,4,6,7}:{(85,1),(86,1),(87,1),(129,1),(141,1),(143,1),(145,1),(179,1),(185,1),(210,1),(216,1)}
       117:{3,5,6}:{(86,1),(88,1),(144,1),(145,1),(146,1)}
       118:{1,5,7}:{(87,1),(88,1),(145,1)}
       119:{1,2,6}:{(89,1),(92,1),(95,1),(147,1)}
       120:{1,2,5,7}:{(89,1),(90,1),(93,1),(96,1),(147,1),(148,1),(149,1)}
       121:{1,2,4,6}:{(90,1),(91,1),(94,1),(97,1),(148,1),(149,1),(150,1)}
       122:{1,2,3,5}:{(91,1),(149,1),(150,1),(190,1),(221,1),(222,1)}
       123:{2,3,7}:{(92,1),(98,1),(114,1),(147,1)}
       124:{2,3,6}:{(93,1),(99,1),(115,1),(148,1)}
       125:{2,3,5}:{(94,1),(100,1),(149,1),(153,1),(190,1)}
       126:{1,3,7}:{(95,1),(98,1),(106,1),(147,1)}
       127:{1,3,6}:{(96,1),(99,1),(107,1),(148,1)}
       128:{1,3,5}:{(97,1),(100,1),(149,1),(156,1),(190,1)}
       129:{3,6,7}:{(98,1),(99,1),(101,1),(157,1),(218,1)}
       130:{3,5,6}:{(99,1),(100,1),(102,1),(157,1),(158,1)}
       131:{4,5}:{(100,1),(158,1)}
       132:{1,2,5,7}:{(101,1),(102,1),(110,1),(118,1),(157,1),(161,1),(166,1)}
       133:{1,5,7}:{(103,1),(104,1),(106,1),(159,1)}
       134:{3,6,7}:{(104,1),(105,1),(159,1)}
       135:{2,5,6,7}:{(105,1),(110,1),(160,1),(225,1)}
       136:{1,4,6,7}:{(106,1),(107,1),(108,1),(154,1),(159,1),(161,1),(196,1)}
       137:{1,5,6}:{(107,1),(109,1),(161,1)}
       138:{3,5,7}:{(108,1),(109,1),(110,1),(161,1),(163,1)}
       139:{4,5,6}:{(109,1),(158,1),(163,1)}
       140:{2,5,7}:{(111,1),(112,1),(114,1),(164,1)}
       141:{3,6,7}:{(112,1),(113,1),(164,1)}
       142:{1,5,6,7}:{(113,1),(118,1),(165,1),(226,1)}
       143:{2,4,6,7}:{(114,1),(115,1),(116,1),(151,1),(164,1),(166,1),(193,1)}
       144:{2,5,6}:{(115,1),(117,1),(166,1)}
       145:{3,5,7}:{(116,1),(117,1),(118,1),(166,1),(168,1)}
       146:{4,5,6}:{(117,1),(158,1),(168,1)}
       147:{1,2,7}:{(119,1),(123,1),(126,1)}
       148:{1,2,6}:{(120,1),(124,1),(127,1)}
       149:{1,2,5}:{(121,1),(125,1),(128,1)}
       150:{1,2,4}:{(122,1),(172,1)}
       151:{2,3,6,7}:{(123,1),(124,1),(129,1),(143,1),(169,1),(173,1),(216,1)}
       152:{2,3,5,6}:{(124,1),(125,1),(130,1),(144,1),(170,1),(173,1),(174,1),(187,1),(206,1)}
       153:{2,4,5}:{(125,1),(131,1),(174,1),(175,1)}
       154:{1,3,6,7}:{(126,1),(127,1),(129,1),(136,1),(169,1),(176,1),(214,1)}
       155:{1,3,5,6}:{(127,1),(128,1),(130,1),(137,1),(170,1),(176,1),(177,1),(183,1),(206,1)}
       156:{1,4,5}:{(128,1),(131,1),(177,1),(178,1)}
       157:{3,5,7}:{(129,1),(130,1),(132,1),(179,1)}
       158:{4,6}:{(130,1),(131,1),(179,1)}
       159:{1,6,7}:{(133,1),(134,1)}
       160:{3,5,6,7}:{(134,1),(135,1),(138,1),(180,1),(181,1),(214,1)}
       161:{1,5,7}:{(136,1),(137,1),(138,1)}
       162:{1,4,5,6}:{(137,1),(139,1),(177,1),(182,1),(183,1)}
       163:{4,5,7}:{(138,1),(139,1),(179,1),(181,1)}
       164:{2,6,7}:{(140,1),(141,1)}
       165:{3,5,6,7}:{(141,1),(142,1),(145,1),(184,1),(185,1),(216,1)}
       166:{2,5,7}:{(143,1),(144,1),(145,1)}
       167:{2,4,5,6}:{(144,1),(146,1),(174,1),(186,1),(187,1)}
       168:{4,5,7}:{(145,1),(146,1),(179,1),(185,1)}
       169:{1,2,6,7}:{(147,1),(148,1),(151,1),(154,1),(188,1),(225,1),(226,1)}
       170:{1,2,5,6}:{(148,1),(149,1),(152,1),(155,1),(188,1),(189,1),(201,1),(204,1)}
       171:{1,2,4,5}:{(149,1),(150,1),(153,1),(156,1),(189,1),(190,1),(195,1),(198,1),(221,1)}
       172:{3,4}:{(150,1),(190,1)}
       173:{2,3,5,7}:{(151,1),(152,1),(157,1),(166,1),(188,1),(193,1),(203,1),(218,1)}
       174:{2,4,6}:{(152,1),(153,1),(158,1),(193,1),(194,1)}
       175:{3,4,5}:{(153,1),(190,1),(194,1),(195,1)}
       176:{1,3,5,7}:{(154,1),(155,1),(157,1),(161,1),(188,1),(196,1),(200,1),(218,1)}
       177:{1,4,6}:{(155,1),(156,1),(158,1),(196,1),(197,1)}
       178:{3,4,5}:{(156,1),(190,1),(197,1),(198,1)}
       179:{4,7}:{(157,1),(158,1)}
       180:{1,5,6,7}:{(159,1),(160,1),(161,1),(199,1)}
       181:{4,6,7}:{(160,1),(163,1)}
       182:{1,4,5,7}:{(161,1),(162,1),(163,1),(196,1),(199,1),(200,1)}
       183:{3,5,6}:{(162,1),(197,1),(200,1),(201,1)}
       184:{2,5,6,7}:{(164,1),(165,1),(166,1),(202,1)}
       185:{4,6,7}:{(165,1),(168,1)}
       186:{2,4,5,7}:{(166,1),(167,1),(168,1),(193,1),(202,1),(203,1)}
       187:{3,5,6}:{(167,1),(194,1),(203,1),(204,1)}
       188:{1,2,5,7}:{(169,1),(170,1),(173,1),(176,1),(205,1),(215,1),(217,1)}
       189:{1,2,4,6}:{(170,1),(171,1),(174,1),(177,1),(205,1),(206,1),(211,1),(213,1),(229,1)}
       190:{3,5}:{(171,1),(172,1),(206,1)}
       191:{1,3,4}:{(172,1),(207,1),(209,1)}
       192:{2,3,4}:{(172,1),(208,1),(209,1)}
       193:{2,4,7}:{(173,1),(174,1),(179,1),(210,1)}
       194:{3,4,6}:{(174,1),(175,1),(187,1),(206,1),(210,1),(211,1)}
       195:{1,4,5}:{(175,1),(207,1),(211,1)}
       196:{1,4,7}:{(176,1),(177,1),(179,1),(212,1)}
       197:{3,4,6}:{(177,1),(178,1),(183,1),(206,1),(212,1),(213,1)}
       198:{2,4,5}:{(178,1),(208,1),(213,1)}
       199:{1,4,6,7}:{(180,1),(181,1),(182,1),(214,1)}
       200:{3,5,7}:{(182,1),(183,1),(212,1),(214,1),(215,1)}
       201:{2,5,6}:{(183,1),(213,1),(215,1)}
       202:{2,4,6,7}:{(184,1),(185,1),(186,1),(216,1)}
       203:{3,5,7}:{(186,1),(187,1),(210,1),(216,1),(217,1)}
       204:{1,5,6}:{(187,1),(211,1),(217,1)}
       205:{1,2,4,7}:{(188,1),(189,1),(193,1),(196,1),(218,1),(223,1),(224,1),(230,1)}
       206:{3,6}:{(189,1),(190,1),(218,1)}
       207:{1,3,5}:{(190,1),(191,1),(195,1),(219,1),(221,1)}
       208:{2,3,5}:{(190,1),(192,1),(198,1),(220,1),(221,1)}
       209:{1,2,4}:{(191,1),(192,1),(221,1),(222,1)}
       210:{3,4,7}:{(193,1),(194,1),(203,1),(218,1),(223,1)}
       211:{1,4,6}:{(194,1),(195,1),(204,1),(219,1),(223,1)}
       212:{3,4,7}:{(196,1),(197,1),(200,1),(218,1),(224,1)}
       213:{2,4,6}:{(197,1),(198,1),(201,1),(220,1),(224,1)}
       214:{3,6,7}:{(199,1),(200,1),(225,1)}
       215:{2,5,7}:{(200,1),(201,1),(224,1),(225,1)}
       216:{3,6,7}:{(202,1),(203,1),(226,1)}
       217:{1,5,7}:{(203,1),(204,1),(223,1),(226,1)}
       218:{3,7}:{(205,1),(206,1)}
       219:{1,3,6}:{(206,1),(207,1),(211,1),(227,1),(229,1)}
       220:{2,3,6}:{(206,1),(208,1),(213,1),(228,1),(229,1)}
       221:{1,2,5}:{(207,1),(208,1),(209,1),(229,1)}
       222:{1,2,3}:{(209,1)}
       223:{1,4,7}:{(210,1),(211,1),(217,1),(227,1)}
       224:{2,4,7}:{(212,1),(213,1),(215,1),(228,1)}
       225:{2,6,7}:{(214,1),(215,1)}
       226:{1,6,7}:{(216,1),(217,1)}
       227:{1,3,7}:{(218,1),(219,1),(223,1),(230,1)}
       228:{2,3,7}:{(218,1),(220,1),(224,1),(230,1)}
       229:{1,2,6}:{(219,1),(220,1),(221,1),(230,1)}
       230:{1,2,7}:{(227,1),(228,1),(229,1)}

 910 :   0:{1,2,3,7}:{(4,1),(5,1),(138,1),(196,1),(222,1)}
         1:{2,3,4,7}:{(4,1),(6,1),(7,1),(21,1),(82,1),(138,1),(189,1)}
         2:{1,3,4,7}:{(4,1),(8,1),(9,1),(21,1),(90,1),(138,1),(188,1)}
         3:{1,2,3,5,7}:{(0,1),(10,1),(11,1),(12,1),(14,1),(37,1),(40,1),(43,1),(93,1),(95,1)}
         4:{1,2,4,7}:{(0,1),(1,1),(2,1),(12,1),(13,1),(209,1)}
         5:{1,2,3,6}:{(0,1),(13,1),(14,1),(105,1),(172,1)}
         6:{2,3,5,7}:{(1,1),(12,1),(15,1),(16,1),(17,1),(40,1),(208,1),(228,1)}
         7:{2,3,4,6}:{(1,1),(13,1),(16,1),(17,1),(41,1),(47,1),(53,1),(105,1)}
         8:{1,3,5,7}:{(2,1),(12,1),(18,1),(19,1),(20,1),(40,1),(207,1),(227,1)}
         9:{1,3,4,6}:{(2,1),(13,1),(19,1),(20,1),(41,1),(47,1),(60,1),(105,1)}
        10:{1,2,4,7}:{(3,1),(21,1),(23,1),(26,1),(129,1)}
        11:{1,2,3,6}:{(3,1),(23,1),(24,1),(68,1),(127,1)}
        12:{1,2,5,7}:{(4,1),(6,1),(8,1),(24,1),(25,1),(221,1),(230,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(7,1),(9,1),(24,1),(25,1),(26,1)}
        14:{1,2,3,5}:{(5,1),(25,1),(26,1),(74,1),(141,1),(142,1)}
        15:{2,4,5,7}:{(6,1),(27,1),(28,1),(31,1),(80,1),(82,1),(195,1),(224,1)}
        16:{2,3,6}:{(6,1),(24,1),(28,1),(68,1)}
        17:{2,3,5}:{(7,1),(25,1),(31,1),(69,1),(74,1)}
        18:{1,4,5,7}:{(8,1),(32,1),(33,1),(36,1),(88,1),(90,1),(192,1),(223,1)}
        19:{1,3,6}:{(8,1),(24,1),(33,1),(68,1)}
        20:{1,3,5}:{(9,1),(25,1),(36,1),(69,1),(74,1)}
        21:{3,4,7}:{(10,1),(40,1),(41,1),(47,1),(162,1),(169,1)}
        22:{1,2,4,5,7}:{(10,1),(12,1),(15,1),(18,1),(40,1),(42,1),(43,1),(46,1),(48,1),(55,1),(93,1),(102,1),(103,1),(104,1),(161,1),(169,1),(205,1)}
        23:{1,2,4,6}:{(10,1),(11,1),(41,1),(43,1)}
        24:{1,2,6}:{(12,1),(16,1),(19,1)}
        25:{1,2,5}:{(13,1),(17,1),(20,1)}
        26:{1,2,4}:{(14,1),(47,1)}
        27:{3,4,5,7}:{(15,1),(40,1),(48,1),(49,1),(54,1),(102,1),(111,1),(116,1),(168,1),(169,1),(212,1)}
        28:{2,4,6}:{(15,1),(16,1),(49,1),(51,1)}
        29:{2,3,6,7}:{(16,1),(44,1),(50,1),(52,1),(100,1),(177,1),(228,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(45,1),(51,1),(52,1),(53,1),(101,1),(105,1),(115,1)}
        31:{2,4,5}:{(17,1),(53,1),(54,1),(102,1)}
        32:{3,4,5,7}:{(18,1),(40,1),(55,1),(56,1),(61,1),(102,1),(120,1),(125,1),(165,1),(169,1),(210,1)}
        33:{1,4,6}:{(18,1),(19,1),(56,1),(58,1)}
        34:{1,3,6,7}:{(19,1),(44,1),(57,1),(59,1),(100,1),(183,1),(227,1)}
        35:{1,3,5,6}:{(19,1),(20,1),(45,1),(58,1),(59,1),(60,1),(101,1),(105,1),(124,1)}
        36:{1,4,5}:{(20,1),(60,1),(61,1),(102,1)}
        37:{1,2,3,7}:{(62,1),(63,1),(142,1),(218,1),(230,1)}
        38:{2,3,4,7}:{(21,1),(62,1),(64,1),(65,1),(76,1),(190,1),(218,1)}
        39:{1,3,4,7}:{(21,1),(62,1),(66,1),(67,1),(75,1),(193,1),(218,1)}
        40:{3,5,7}:{(21,1),(22,1),(68,1),(69,1),(74,1),(138,1),(187,1),(218,1)}
        41:{3,4,6}:{(21,1),(23,1),(68,1),(69,1),(137,1)}
        42:{1,2,4,6}:{(22,1),(24,1),(28,1),(33,1),(68,1),(71,1),(77,1),(85,1),(127,1),(137,1)}
        43:{1,2,5}:{(23,1),(69,1)}
        44:{1,2,6,7}:{(24,1),(29,1),(34,1),(72,1),(200,1),(204,1),(230,1)}
        45:{1,2,5,6}:{(24,1),(25,1),(30,1),(35,1),(72,1),(73,1),(149,1),(157,1)}
        46:{1,2,4,5}:{(25,1),(26,1),(31,1),(36,1),(73,1),(74,1),(84,1),(92,1),(141,1)}
        47:{3,4}:{(26,1),(74,1)}
        48:{1,4,5,7}:{(27,1),(66,1),(77,1),(84,1),(135,1),(143,1),(150,1),(193,1)}
        49:{3,4,6}:{(27,1),(28,1),(68,1),(77,1),(79,1),(137,1)}
        50:{2,4,6,7}:{(28,1),(29,1),(78,1),(80,1),(82,1),(224,1),(225,1)}
        51:{2,5,6}:{(28,1),(79,1),(80,1)}
        52:{2,3,5,7}:{(29,1),(30,1),(72,1),(80,1),(82,1),(136,1),(138,1),(148,1)}
        53:{2,4,6}:{(30,1),(31,1),(82,1),(83,1),(137,1)}
        54:{3,4,5}:{(31,1),(74,1),(83,1),(84,1)}
        55:{2,4,5,7}:{(32,1),(64,1),(85,1),(92,1),(132,1),(151,1),(158,1),(190,1)}
        56:{3,4,6}:{(32,1),(33,1),(68,1),(85,1),(87,1),(137,1)}
        57:{1,4,6,7}:{(33,1),(34,1),(86,1),(88,1),(90,1),(223,1),(226,1)}
        58:{1,5,6}:{(33,1),(87,1),(88,1)}
        59:{1,3,5,7}:{(34,1),(35,1),(72,1),(88,1),(90,1),(136,1),(138,1),(156,1)}
        60:{1,4,6}:{(35,1),(36,1),(90,1),(91,1),(137,1)}
        61:{3,4,5}:{(36,1),(74,1),(91,1),(92,1)}
        62:{1,2,4,7}:{(37,1),(38,1),(39,1),(93,1),(94,1),(108,1)}
        63:{1,2,3,6}:{(37,1),(94,1),(95,1),(206,1),(229,1)}
        64:{2,3,5,7}:{(38,1),(40,1),(55,1),(93,1),(96,1),(97,1),(107,1),(171,1)}
        65:{2,3,4,6}:{(38,1),(41,1),(94,1),(96,1),(97,1),(162,1),(164,1),(206,1)}
        66:{1,3,5,7}:{(39,1),(40,1),(48,1),(93,1),(98,1),(99,1),(106,1),(170,1)}
        67:{1,3,4,6}:{(39,1),(41,1),(94,1),(98,1),(99,1),(162,1),(167,1),(206,1)}
        68:{3,6}:{(40,1),(42,1)}
        69:{3,5}:{(41,1),(43,1),(102,1)}
        70:{1,2,4,6,7}:{(42,1),(44,1),(50,1),(57,1),(100,1),(103,1),(104,1),(109,1),(118,1),(159,1),(169,1),(205,1)}
        71:{1,2,5,6}:{(42,1),(43,1),(51,1),(58,1),(101,1),(103,1),(110,1),(119,1)}
        72:{1,2,5,7}:{(44,1),(45,1),(52,1),(59,1),(104,1),(178,1),(184,1)}
        73:{1,2,4,6}:{(45,1),(46,1),(53,1),(60,1),(104,1),(105,1),(117,1),(126,1),(172,1)}
        74:{3,5}:{(46,1),(47,1),(105,1)}
        75:{1,3,4}:{(47,1),(106,1),(108,1)}
        76:{2,3,4}:{(47,1),(107,1),(108,1)}
        77:{1,4,6}:{(48,1),(49,1),(98,1),(110,1)}
        78:{3,4,6,7}:{(49,1),(50,1),(100,1),(109,1),(111,1),(116,1),(169,1),(176,1),(177,1),(212,1),(214,1)}
        79:{3,5,6}:{(49,1),(51,1),(110,1),(111,1),(112,1)}
        80:{2,5,7}:{(50,1),(51,1),(111,1)}
        81:{2,4,5,6}:{(51,1),(53,1),(112,1),(114,1),(115,1)}
        82:{2,4,7}:{(52,1),(53,1),(116,1),(169,1)}
        83:{3,4,6}:{(53,1),(54,1),(105,1),(115,1),(116,1),(117,1)}
        84:{1,4,5}:{(54,1),(106,1),(117,1)}
        85:{2,4,6}:{(55,1),(56,1),(96,1),(119,1)}
        86:{3,4,6,7}:{(56,1),(57,1),(100,1),(118,1),(120,1),(125,1),(169,1),(182,1),(183,1),(210,1),(216,1)}
        87:{3,5,6}:{(56,1),(58,1),(119,1),(120,1),(121,1)}
        88:{1,5,7}:{(57,1),(58,1),(120,1)}
        89:{1,4,5,6}:{(58,1),(60,1),(121,1),(123,1),(124,1)}
        90:{1,4,7}:{(59,1),(60,1),(125,1),(169,1)}
        91:{3,4,6}:{(60,1),(61,1),(105,1),(124,1),(125,1),(126,1)}
        92:{2,4,5}:{(61,1),(107,1),(126,1)}
        93:{1,2,5,7}:{(62,1),(64,1),(66,1),(127,1),(128,1),(141,1),(196,1)}
        94:{1,2,4,6}:{(62,1),(63,1),(65,1),(67,1),(127,1),(128,1),(129,1)}
        95:{1,2,3,5}:{(63,1),(128,1),(129,1),(187,1),(221,1),(222,1)}
        96:{2,3,6}:{(64,1),(68,1),(85,1),(127,1)}
        97:{2,3,5}:{(65,1),(69,1),(128,1),(132,1),(187,1)}
        98:{1,3,6}:{(66,1),(68,1),(77,1),(127,1)}
        99:{1,3,5}:{(67,1),(69,1),(128,1),(135,1),(187,1)}
       100:{3,6,7}:{(68,1),(70,1),(136,1),(138,1),(218,1)}
       101:{3,5,6}:{(68,1),(69,1),(71,1),(136,1),(137,1)}
       102:{4,5}:{(69,1),(137,1)}
       103:{1,2,5,7}:{(70,1),(71,1),(80,1),(88,1),(136,1),(143,1),(151,1)}
       104:{1,2,4,7}:{(72,1),(73,1),(82,1),(90,1),(138,1),(150,1),(158,1),(196,1)}
       105:{3,6}:{(73,1),(74,1),(138,1)}
       106:{1,3,5}:{(74,1),(75,1),(84,1),(139,1),(141,1)}
       107:{2,3,5}:{(74,1),(76,1),(92,1),(140,1),(141,1)}
       108:{1,2,4}:{(75,1),(76,1),(141,1),(142,1)}
       109:{1,4,6,7}:{(77,1),(78,1),(133,1),(143,1),(150,1),(193,1),(200,1)}
       110:{1,5,6}:{(77,1),(79,1),(143,1)}
       111:{3,5,7}:{(78,1),(79,1),(80,1),(143,1),(146,1)}
       112:{4,5,6}:{(79,1),(137,1),(146,1)}
       113:{2,5,6,7}:{(80,1),(145,1),(147,1),(225,1)}
       114:{2,4,5,7}:{(80,1),(81,1),(82,1),(146,1),(147,1),(148,1)}
       115:{3,5,6}:{(81,1),(83,1),(148,1),(149,1)}
       116:{3,4,7}:{(82,1),(83,1),(138,1),(148,1),(150,1)}
       117:{1,4,6}:{(83,1),(84,1),(139,1),(149,1),(150,1)}
       118:{2,4,6,7}:{(85,1),(86,1),(130,1),(151,1),(158,1),(190,1),(204,1)}
       119:{2,5,6}:{(85,1),(87,1),(151,1)}
       120:{3,5,7}:{(86,1),(87,1),(88,1),(151,1),(154,1)}
       121:{4,5,6}:{(87,1),(137,1),(154,1)}
       122:{1,5,6,7}:{(88,1),(153,1),(155,1),(226,1)}
       123:{1,4,5,7}:{(88,1),(89,1),(90,1),(154,1),(155,1),(156,1)}
       124:{3,5,6}:{(89,1),(91,1),(156,1),(157,1)}
       125:{3,4,7}:{(90,1),(91,1),(138,1),(156,1),(158,1)}
       126:{2,4,6}:{(91,1),(92,1),(140,1),(157,1),(158,1)}
       127:{1,2,6}:{(93,1),(96,1),(98,1)}
       128:{1,2,5}:{(94,1),(97,1),(99,1)}
       129:{1,2,4}:{(95,1),(162,1)}
       130:{2,3,6,7}:{(96,1),(100,1),(118,1),(159,1),(163,1),(171,1),(216,1)}
       131:{2,3,5,6}:{(96,1),(97,1),(101,1),(119,1),(160,1),(163,1),(164,1),(181,1),(206,1)}
       132:{2,4,5}:{(97,1),(102,1),(164,1),(165,1)}
       133:{1,3,6,7}:{(98,1),(100,1),(109,1),(159,1),(166,1),(170,1),(214,1)}
       134:{1,3,5,6}:{(98,1),(99,1),(101,1),(110,1),(160,1),(166,1),(167,1),(175,1),(206,1)}
       135:{1,4,5}:{(99,1),(102,1),(167,1),(168,1)}
       136:{3,5,7}:{(100,1),(101,1),(103,1),(169,1)}
       137:{4,6}:{(101,1),(102,1),(169,1)}
       138:{3,7}:{(104,1),(105,1)}
       139:{1,3,6}:{(105,1),(106,1),(117,1),(170,1),(172,1)}
       140:{2,3,6}:{(105,1),(107,1),(126,1),(171,1),(172,1)}
       141:{1,2,5}:{(106,1),(107,1),(108,1),(172,1)}
       142:{1,2,3}:{(108,1)}
       143:{1,5,7}:{(109,1),(110,1),(111,1)}
       144:{1,4,5,6}:{(110,1),(112,1),(167,1),(174,1),(175,1)}
       145:{3,5,6,7}:{(111,1),(113,1),(173,1),(176,1),(177,1),(214,1)}
       146:{4,5,7}:{(111,1),(112,1),(169,1),(176,1)}
       147:{2,4,6,7}:{(113,1),(114,1),(176,1),(177,1)}
       148:{3,5,7}:{(114,1),(115,1),(116,1),(177,1),(178,1)}
       149:{1,5,6}:{(115,1),(117,1),(178,1)}
       150:{1,4,7}:{(116,1),(117,1),(170,1),(178,1)}
       151:{2,5,7}:{(118,1),(119,1),(120,1)}
       152:{2,4,5,6}:{(119,1),(121,1),(164,1),(180,1),(181,1)}
       153:{3,5,6,7}:{(120,1),(122,1),(179,1),(182,1),(183,1),(216,1)}
       154:{4,5,7}:{(120,1),(121,1),(169,1),(182,1)}
       155:{1,4,6,7}:{(122,1),(123,1),(182,1),(183,1)}
       156:{3,5,7}:{(123,1),(124,1),(125,1),(183,1),(184,1)}
       157:{2,5,6}:{(124,1),(126,1),(184,1)}
       158:{2,4,7}:{(125,1),(126,1),(171,1),(184,1)}
       159:{1,2,6,7}:{(127,1),(130,1),(133,1),(185,1),(196,1),(225,1),(226,1)}
       160:{1,2,5,6}:{(127,1),(128,1),(131,1),(134,1),(185,1),(186,1),(199,1),(203,1)}
       161:{1,2,4,5}:{(128,1),(129,1),(132,1),(135,1),(186,1),(187,1),(192,1),(195,1),(221,1)}
       162:{3,4}:{(129,1),(187,1)}
       163:{2,3,5,7}:{(130,1),(131,1),(136,1),(151,1),(185,1),(190,1),(202,1),(218,1)}
       164:{2,4,6}:{(131,1),(132,1),(137,1),(190,1),(191,1)}
       165:{3,4,5}:{(132,1),(187,1),(191,1),(192,1)}
       166:{1,3,5,7}:{(133,1),(134,1),(136,1),(143,1),(185,1),(193,1),(198,1),(218,1)}
       167:{1,4,6}:{(134,1),(135,1),(137,1),(193,1),(194,1)}
       168:{3,4,5}:{(135,1),(187,1),(194,1),(195,1)}
       169:{4,7}:{(136,1),(137,1)}
       170:{1,3,7}:{(138,1),(139,1),(150,1),(196,1)}
       171:{2,3,7}:{(138,1),(140,1),(158,1),(196,1)}
       172:{1,2,6}:{(139,1),(140,1),(141,1),(196,1)}
       173:{1,5,6,7}:{(143,1),(145,1),(197,1),(200,1)}
       174:{1,4,5,7}:{(143,1),(144,1),(146,1),(193,1),(197,1),(198,1)}
       175:{3,5,6}:{(144,1),(194,1),(198,1),(199,1)}
       176:{4,6,7}:{(145,1),(146,1)}
       177:{3,6,7}:{(147,1),(148,1),(200,1)}
       178:{1,5,7}:{(148,1),(149,1),(150,1),(200,1)}
       179:{2,5,6,7}:{(151,1),(153,1),(201,1),(204,1)}
       180:{2,4,5,7}:{(151,1),(152,1),(154,1),(190,1),(201,1),(202,1)}
       181:{3,5,6}:{(152,1),(191,1),(202,1),(203,1)}
       182:{4,6,7}:{(153,1),(154,1)}
       183:{3,6,7}:{(155,1),(156,1),(204,1)}
       184:{2,5,7}:{(156,1),(157,1),(158,1),(204,1)}
       185:{1,2,5,7}:{(159,1),(160,1),(163,1),(166,1),(205,1),(215,1),(217,1)}
       186:{1,2,4,6}:{(160,1),(161,1),(164,1),(167,1),(205,1),(206,1),(211,1),(213,1),(229,1)}
       187:{3,5}:{(161,1),(162,1),(206,1)}
       188:{1,3,4}:{(162,1),(207,1),(209,1)}
       189:{2,3,4}:{(162,1),(208,1),(209,1)}
       190:{2,4,7}:{(163,1),(164,1),(169,1),(210,1)}
       191:{3,4,6}:{(164,1),(165,1),(181,1),(206,1),(210,1),(211,1)}
       192:{1,4,5}:{(165,1),(207,1),(211,1)}
       193:{1,4,7}:{(166,1),(167,1),(169,1),(212,1)}
       194:{3,4,6}:{(167,1),(168,1),(175,1),(206,1),(212,1),(213,1)}
       195:{2,4,5}:{(168,1),(208,1),(213,1)}
       196:{1,2,7}:{(170,1),(171,1),(172,1)}
       197:{1,4,6,7}:{(173,1),(174,1),(176,1),(214,1)}
       198:{3,5,7}:{(174,1),(175,1),(212,1),(214,1),(215,1)}
       199:{2,5,6}:{(175,1),(213,1),(215,1)}
       200:{1,6,7}:{(177,1),(178,1)}
       201:{2,4,6,7}:{(179,1),(180,1),(182,1),(216,1)}
       202:{3,5,7}:{(180,1),(181,1),(210,1),(216,1),(217,1)}
       203:{1,5,6}:{(181,1),(211,1),(217,1)}
       204:{2,6,7}:{(183,1),(184,1)}
       205:{1,2,4,7}:{(185,1),(186,1),(190,1),(193,1),(218,1),(223,1),(224,1),(230,1)}
       206:{3,6}:{(186,1),(187,1),(218,1)}
       207:{1,3,5}:{(187,1),(188,1),(192,1),(219,1),(221,1)}
       208:{2,3,5}:{(187,1),(189,1),(195,1),(220,1),(221,1)}
       209:{1,2,4}:{(188,1),(189,1),(221,1),(222,1)}
       210:{3,4,7}:{(190,1),(191,1),(202,1),(218,1),(223,1)}
       211:{1,4,6}:{(191,1),(192,1),(203,1),(219,1),(223,1)}
       212:{3,4,7}:{(193,1),(194,1),(198,1),(218,1),(224,1)}
       213:{2,4,6}:{(194,1),(195,1),(199,1),(220,1),(224,1)}
       214:{3,6,7}:{(197,1),(198,1),(225,1)}
       215:{2,5,7}:{(198,1),(199,1),(224,1),(225,1)}
       216:{3,6,7}:{(201,1),(202,1),(226,1)}
       217:{1,5,7}:{(202,1),(203,1),(223,1),(226,1)}
       218:{3,7}:{(205,1),(206,1)}
       219:{1,3,6}:{(206,1),(207,1),(211,1),(227,1),(229,1)}
       220:{2,3,6}:{(206,1),(208,1),(213,1),(228,1),(229,1)}
       221:{1,2,5}:{(207,1),(208,1),(209,1),(229,1)}
       222:{1,2,3}:{(209,1)}
       223:{1,4,7}:{(210,1),(211,1),(217,1),(227,1)}
       224:{2,4,7}:{(212,1),(213,1),(215,1),(228,1)}
       225:{2,6,7}:{(214,1),(215,1)}
       226:{1,6,7}:{(216,1),(217,1)}
       227:{1,3,7}:{(218,1),(219,1),(223,1),(230,1)}
       228:{2,3,7}:{(218,1),(220,1),(224,1),(230,1)}
       229:{1,2,6}:{(219,1),(220,1),(221,1),(230,1)}
       230:{1,2,7}:{(227,1),(228,1),(229,1)}

 911 :   0:{1,2,3}:{(4,1)}
         1:{2,3,4}:{(4,1),(5,1),(14,1)}
         2:{1,3,4}:{(4,1),(6,1),(14,1)}
         3:{1,2,3,5}:{(0,1),(7,1),(8,1),(9,1),(25,1),(29,1),(31,1),(59,1)}
         4:{1,2,4}:{(0,1),(1,1),(2,1),(9,1)}
         5:{2,3,5}:{(1,1),(9,1),(10,1),(11,1),(29,1)}
         6:{1,3,5}:{(2,1),(9,1),(12,1),(13,1),(29,1)}
         7:{1,2,3,6}:{(3,1),(15,1),(16,1),(18,1),(47,1),(78,1)}
         8:{1,2,4}:{(3,1),(14,1)}
         9:{1,2,5}:{(4,1),(5,1),(6,1),(18,1)}
        10:{2,4,5}:{(5,1),(19,1),(20,1)}
        11:{2,3,6}:{(5,1),(18,1),(20,1),(21,1),(47,1)}
        12:{1,4,5}:{(6,1),(22,1),(23,1)}
        13:{1,3,6}:{(6,1),(18,1),(23,1),(24,1),(47,1)}
        14:{3,4}:{(8,1),(29,1)}
        15:{1,2,3,7}:{(7,1),(30,1),(33,1),(65,1),(92,1)}
        16:{1,2,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(66,1)}
        17:{1,2,4,5}:{(8,1),(9,1),(10,1),(12,1),(29,1),(31,1),(32,1),(34,1),(38,1),(59,1),(62,1)}
        18:{1,2,6}:{(9,1),(11,1),(13,1),(33,1)}
        19:{3,4,5}:{(10,1),(29,1),(34,1),(35,1),(62,1)}
        20:{2,4,6}:{(10,1),(11,1),(35,1),(36,1),(37,1)}
        21:{2,3,7}:{(11,1),(33,1),(37,1),(65,1)}
        22:{3,4,5}:{(12,1),(29,1),(38,1),(39,1),(62,1)}
        23:{1,4,6}:{(12,1),(13,1),(39,1),(40,1),(41,1)}
        24:{1,3,7}:{(13,1),(33,1),(41,1),(65,1)}
        25:{1,2,3}:{(42,1)}
        26:{2,3,4}:{(14,1),(42,1),(43,1)}
        27:{1,3,4}:{(14,1),(42,1),(44,1)}
        28:{3,4,6}:{(14,1),(16,1),(45,1),(46,1),(47,1),(82,1),(83,1)}
        29:{3,5}:{(14,1),(17,1),(47,1)}
        30:{1,2,4,7}:{(15,1),(16,1),(45,1),(48,1)}
        31:{1,2,5}:{(16,1),(46,1)}
        32:{1,2,4,6}:{(17,1),(18,1),(20,1),(23,1),(47,1),(49,1),(50,1),(51,1),(55,1),(78,1),(82,1)}
        33:{1,2,7}:{(18,1),(21,1),(24,1)}
        34:{1,4,5}:{(19,1),(44,1),(51,1)}
        35:{3,4,6}:{(19,1),(20,1),(47,1),(51,1),(52,1),(53,1),(82,1)}
        36:{2,5,6}:{(20,1),(52,1),(54,1)}
        37:{2,4,7}:{(20,1),(21,1),(53,1),(54,1)}
        38:{2,4,5}:{(22,1),(43,1),(55,1)}
        39:{3,4,6}:{(22,1),(23,1),(47,1),(55,1),(56,1),(57,1),(82,1)}
        40:{1,5,6}:{(23,1),(56,1),(58,1)}
        41:{1,4,7}:{(23,1),(24,1),(57,1),(58,1)}
        42:{1,2,4}:{(25,1),(26,1),(27,1),(59,1)}
        43:{2,3,5}:{(26,1),(29,1),(38,1),(59,1),(60,1)}
        44:{1,3,5}:{(27,1),(29,1),(34,1),(59,1),(61,1)}
        45:{3,4,7}:{(28,1),(30,1),(63,1),(65,1),(94,1)}
        46:{3,5}:{(28,1),(31,1),(62,1)}
        47:{3,6}:{(29,1),(32,1),(65,1)}
        48:{1,2,5,7}:{(30,1),(31,1),(63,1),(66,1)}
        49:{1,2,5,6}:{(31,1),(32,1),(36,1),(40,1),(64,1),(66,1),(67,1),(68,1),(73,1)}
        50:{1,2,4,7}:{(32,1),(33,1),(37,1),(41,1),(65,1),(67,1),(69,1),(74,1),(92,1),(94,1)}
        51:{1,4,6}:{(34,1),(35,1),(61,1),(68,1),(69,1)}
        52:{3,5,6}:{(35,1),(36,1),(68,1),(70,1),(71,1)}
        53:{3,4,7}:{(35,1),(37,1),(65,1),(69,1),(71,1),(94,1)}
        54:{2,5,7}:{(36,1),(37,1),(71,1),(72,1)}
        55:{2,4,6}:{(38,1),(39,1),(60,1),(73,1),(74,1)}
        56:{3,5,6}:{(39,1),(40,1),(73,1),(75,1),(76,1)}
        57:{3,4,7}:{(39,1),(41,1),(65,1),(74,1),(76,1),(94,1)}
        58:{1,5,7}:{(40,1),(41,1),(76,1),(77,1)}
        59:{1,2,5}:{(42,1),(43,1),(44,1),(78,1)}
        60:{2,3,6}:{(43,1),(47,1),(55,1),(78,1),(79,1)}
        61:{1,3,6}:{(44,1),(47,1),(51,1),(78,1),(80,1)}
        62:{4,5}:{(46,1),(82,1)}
        63:{3,5,7}:{(45,1),(46,1),(48,1),(81,1),(83,1)}
        64:{3,5,6}:{(46,1),(47,1),(49,1),(82,1),(83,1),(84,1),(100,1)}
        65:{3,7}:{(47,1),(50,1)}
        66:{1,2,6}:{(48,1),(83,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(54,1),(58,1),(84,1),(85,1),(86,1),(89,1)}
        68:{1,5,6}:{(51,1),(52,1),(86,1)}
        69:{1,4,7}:{(51,1),(53,1),(80,1),(86,1)}
        70:{4,5,6}:{(52,1),(82,1),(87,1),(100,1)}
        71:{3,5,7}:{(52,1),(53,1),(54,1),(86,1),(87,1),(88,1)}
        72:{2,6,7}:{(54,1),(88,1)}
        73:{2,5,6}:{(55,1),(56,1),(89,1)}
        74:{2,4,7}:{(55,1),(57,1),(79,1),(89,1)}
        75:{4,5,6}:{(56,1),(82,1),(90,1),(100,1)}
        76:{3,5,7}:{(56,1),(57,1),(58,1),(89,1),(90,1),(91,1)}
        77:{1,6,7}:{(58,1),(91,1)}
        78:{1,2,6}:{(59,1),(60,1),(61,1),(92,1)}
        79:{2,3,7}:{(60,1),(65,1),(74,1),(92,1)}
        80:{1,3,7}:{(61,1),(65,1),(69,1),(92,1)}
        81:{4,5,7}:{(62,1),(63,1),(93,1),(94,1),(104,1)}
        82:{4,6}:{(62,1),(64,1),(94,1)}
        83:{3,6}:{(63,1),(66,1),(93,1)}
        84:{3,5,7}:{(64,1),(65,1),(67,1),(94,1),(95,1),(104,1)}
        85:{1,2,6,7}:{(66,1),(67,1),(72,1),(77,1),(95,1),(96,1),(98,1)}
        86:{1,5,7}:{(68,1),(69,1),(71,1),(96,1)}
        87:{4,5,7}:{(70,1),(71,1),(94,1),(97,1),(104,1)}
        88:{3,6,7}:{(71,1),(72,1),(96,1),(97,1)}
        89:{2,5,7}:{(73,1),(74,1),(76,1),(98,1)}
        90:{4,5,7}:{(75,1),(76,1),(94,1),(99,1),(104,1)}
        91:{3,6,7}:{(76,1),(77,1),(98,1),(99,1)}
        92:{1,2,7}:{(78,1),(79,1),(80,1)}
        93:{4,6}:{(81,1),(83,1),(100,1)}
        94:{4,7}:{(82,1),(84,1)}
        95:{3,6,7}:{(83,1),(84,1),(85,1),(101,1)}
        96:{1,6,7}:{(86,1),(88,1)}
        97:{4,6,7}:{(87,1),(88,1),(102,1)}
        98:{2,6,7}:{(89,1),(91,1)}
        99:{4,6,7}:{(90,1),(91,1),(103,1)}
       100:{5,6}:{(93,1),(104,1)}
       101:{4,6,7}:{(93,1),(94,1),(95,1),(104,1)}
       102:{5,6,7}:{(97,1),(104,1)}
       103:{5,6,7}:{(99,1),(104,1)}
       104:{5,7}:{(100,1),(101,1)}

 912 :   0:{1,2,4,5,6}:{(1,1),(2,1),(13,1),(14,1),(16,1),(38,1),(77,1),(78,1),(79,1),(80,1),(98,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(4,1),(7,1),(57,1),(90,1),(101,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(30,1),(31,1),(33,1),(69,1),(70,1),(71,1)}
         3:{2,3,4,6}:{(10,1),(11,1),(12,1),(14,1),(44,1),(48,1),(75,1),(96,1)}
         4:{3,4,6}:{(1,1),(9,1),(13,1),(14,1),(15,1),(48,1),(75,1)}
         5:{1,3,5,6}:{(1,1),(13,1),(16,1),(17,1),(37,1),(42,1),(48,1),(74,1),(78,1),(82,1),(97,1),(98,1)}
         6:{2,3,5,6}:{(1,1),(10,1),(14,1),(16,1),(18,1),(44,1),(48,1),(72,1),(79,1),(95,1),(97,1),(103,1)}
         7:{3,5,7}:{(1,1),(2,1),(15,1),(19,1)}
         8:{1,2,4,6,7}:{(2,1),(19,1),(20,1),(50,1),(51,1),(53,1),(54,1),(77,1)}
         9:{3,4,5}:{(4,1),(21,1),(22,1),(57,1),(101,1)}
        10:{2,3,5}:{(3,1),(22,1),(24,1),(57,1),(101,1)}
        11:{1,2,4,6}:{(3,1),(24,1),(26,1),(27,1),(62,1),(64,1),(92,1)}
        12:{2,3,4,7}:{(3,1),(25,1),(27,1),(31,1),(67,1),(89,1)}
        13:{1,4,6}:{(4,1),(5,1),(21,1),(30,1),(62,1),(102,1)}
        14:{2,4,6}:{(4,1),(6,1),(22,1),(31,1),(86,1),(102,1)}
        15:{3,4,7}:{(4,1),(7,1),(30,1),(31,1),(67,1)}
        16:{1,2,5,6}:{(5,1),(6,1),(24,1),(29,1),(33,1),(55,1),(64,1),(88,1)}
        17:{1,3,5,7}:{(5,1),(7,1),(30,1),(33,1),(34,1),(67,1),(69,1),(93,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(31,1),(33,1),(35,1),(67,1),(70,1),(93,1)}
        19:{3,6,7}:{(7,1),(8,1),(90,1)}
        20:{1,2,5,6,7}:{(8,1),(36,1),(69,1),(70,1),(91,1)}
        21:{1,4,5}:{(9,1),(13,1),(37,1),(98,1),(104,1)}
        22:{2,4,5}:{(9,1),(10,1),(14,1),(103,1),(104,1)}
        23:{3,4,5,7}:{(9,1),(15,1),(39,1),(40,1),(41,1),(52,1),(76,1),(99,1),(104,1)}
        24:{1,2,5}:{(10,1),(11,1),(42,1),(98,1)}
        25:{2,3,5,7}:{(10,1),(12,1),(40,1),(43,1),(44,1),(76,1)}
        26:{1,3,6}:{(11,1),(42,1),(45,1),(48,1)}
        27:{1,2,4,7}:{(11,1),(12,1),(43,1),(45,1),(81,1)}
        28:{1,3,4,6}:{(13,1),(37,1),(46,1),(47,1),(48,1),(74,1),(75,1),(96,1)}
        29:{1,2,4,6}:{(13,1),(14,1),(16,1),(38,1),(48,1),(49,1)}
        30:{1,4,7}:{(13,1),(15,1),(17,1),(99,1)}
        31:{2,4,7}:{(14,1),(15,1),(18,1),(99,1)}
        32:{3,4,6,7}:{(15,1),(19,1),(41,1),(50,1),(51,1),(52,1),(54,1),(84,1),(96,1),(99,1)}
        33:{1,2,5,7}:{(16,1),(17,1),(18,1),(49,1),(53,1)}
        34:{1,3,6,7}:{(17,1),(19,1),(50,1),(53,1),(74,1),(82,1),(84,1)}
        35:{2,3,6,7}:{(18,1),(19,1),(44,1),(51,1),(53,1),(84,1),(95,1)}
        36:{3,5,6,7}:{(19,1),(20,1),(52,1),(54,1),(97,1)}
        37:{1,3,5}:{(21,1),(28,1),(55,1),(57,1),(101,1)}
        38:{1,2,4,5}:{(21,1),(22,1),(24,1),(29,1),(55,1),(57,1),(62,1),(86,1)}
        39:{1,4,5,7}:{(21,1),(23,1),(30,1),(56,1),(59,1),(69,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(25,1),(31,1),(60,1),(70,1)}
        41:{3,4,6}:{(23,1),(59,1),(60,1),(61,1),(90,1),(102,1)}
        42:{1,3,5}:{(24,1),(26,1),(57,1),(62,1)}
        43:{1,2,5,7}:{(24,1),(25,1),(27,1),(63,1),(64,1)}
        44:{2,3,6}:{(25,1),(60,1),(64,1),(90,1)}
        45:{1,3,7}:{(26,1),(27,1),(67,1)}
        46:{1,2,4,6}:{(28,1),(55,1),(65,1),(66,1),(86,1),(88,1),(100,1)}
        47:{1,3,4,7}:{(28,1),(30,1),(56,1),(66,1),(67,1),(89,1)}
        48:{3,6}:{(29,1),(57,1),(67,1)}
        49:{1,2,4,7}:{(29,1),(30,1),(31,1),(33,1),(67,1)}
        50:{1,4,6,7}:{(30,1),(32,1),(34,1),(59,1),(69,1),(92,1)}
        51:{2,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1),(100,1)}
        52:{3,5,7}:{(32,1),(61,1),(69,1),(70,1),(71,1),(101,1)}
        53:{1,2,6,7}:{(33,1),(34,1),(35,1),(64,1),(88,1)}
        54:{4,6,7}:{(36,1),(71,1),(102,1)}
        55:{1,2,5}:{(37,1),(46,1),(72,1),(103,1)}
        56:{1,3,5,7}:{(37,1),(39,1),(47,1),(73,1),(74,1),(76,1)}
        57:{3,5}:{(38,1),(48,1),(75,1)}
        58:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(49,1),(73,1),(76,1),(77,1),(81,1),(85,1),(94,1),(98,1),(99,1),(103,1),(104,1)}
        59:{1,4,6}:{(39,1),(41,1),(74,1),(78,1)}
        60:{2,4,6}:{(40,1),(41,1),(44,1),(79,1)}
        61:{3,5,6}:{(41,1),(52,1),(78,1),(79,1),(80,1)}
        62:{1,4}:{(42,1),(75,1)}
        63:{1,3,5,7}:{(42,1),(43,1),(45,1),(76,1),(81,1),(82,1),(98,1)}
        64:{1,2,6}:{(43,1),(44,1),(82,1)}
        65:{2,3,6}:{(46,1),(48,1),(72,1),(83,1)}
        66:{1,2,4,7}:{(46,1),(47,1),(73,1),(83,1),(94,1)}
        67:{3,7}:{(48,1),(49,1)}
        68:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(53,1),(77,1),(84,1),(85,1),(99,1)}
        69:{1,5,7}:{(50,1),(52,1),(78,1),(98,1)}
        70:{2,5,7}:{(51,1),(52,1),(79,1),(103,1)}
        71:{4,5,7}:{(52,1),(54,1),(80,1),(99,1),(104,1)}
        72:{2,3,5}:{(55,1),(57,1),(65,1),(86,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(66,1),(87,1),(88,1)}
        74:{1,3,6}:{(56,1),(59,1),(88,1),(90,1)}
        75:{3,4}:{(57,1),(62,1),(86,1)}
        76:{3,5,7}:{(57,1),(58,1),(67,1),(89,1),(90,1),(101,1)}
        77:{1,2,4,6}:{(58,1),(59,1),(60,1),(64,1),(88,1),(90,1),(91,1),(92,1),(100,1),(102,1)}
        78:{1,5,6}:{(59,1),(61,1),(69,1)}
        79:{2,5,6}:{(60,1),(61,1),(70,1)}
        80:{4,5,6}:{(61,1),(71,1),(102,1)}
        81:{1,4,7}:{(62,1),(63,1),(89,1),(92,1)}
        82:{1,3,6}:{(63,1),(64,1),(90,1),(92,1)}
        83:{2,3,7}:{(65,1),(66,1),(67,1)}
        84:{3,6,7}:{(67,1),(68,1),(90,1),(93,1)}
        85:{1,2,5,7}:{(68,1),(69,1),(70,1),(91,1),(93,1)}
        86:{2,4}:{(72,1),(75,1)}
        87:{2,3,5,7}:{(72,1),(73,1),(76,1),(83,1),(94,1),(95,1),(103,1)}
        88:{1,2,6}:{(73,1),(74,1),(95,1)}
        89:{3,4,7}:{(75,1),(76,1),(81,1),(94,1),(96,1),(99,1)}
        90:{3,6}:{(76,1),(77,1)}
        91:{1,2,5,6}:{(77,1),(78,1),(79,1),(85,1),(97,1),(98,1),(103,1)}
        92:{1,4,6}:{(81,1),(82,1),(96,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(97,1),(99,1)}
        94:{2,4,7}:{(86,1),(87,1),(89,1),(100,1)}
        95:{2,3,6}:{(87,1),(88,1),(90,1),(100,1)}
        96:{3,4,6}:{(89,1),(90,1),(92,1),(100,1),(101,1),(102,1)}
        97:{3,5,6}:{(90,1),(91,1),(93,1),(101,1),(102,1)}
        98:{1,5}:{(92,1),(101,1)}
        99:{4,7}:{(93,1),(102,1)}
       100:{2,4,6}:{(94,1),(95,1),(96,1),(103,1)}
       101:{3,5}:{(96,1),(98,1),(103,1),(104,1)}
       102:{4,6}:{(97,1),(99,1),(104,1)}
       103:{2,5}:{(100,1),(101,1)}
       104:{4,5}:{(101,1),(102,1)}

 913 :   0:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(25,1),(64,1),(77,1),(82,1),(115,1),(121,1),(135,1)}
         1:{1,2,4,5,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(46,1),(53,1),(58,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(6,1),(59,1),(142,1),(149,1),(162,1)}
         3:{1,3,4,6,7}:{(2,1),(8,1),(9,1),(31,1),(73,1),(77,1),(131,1)}
         4:{2,3,5,7}:{(1,1),(10,1),(11,1),(37,1),(121,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(38,1)}
         6:{1,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(39,1),(64,1),(184,1)}
         7:{1,2,3,5,7}:{(4,1),(14,1),(15,1),(41,1),(46,1)}
         8:{1,2,4,6,7}:{(3,1),(5,1),(17,1),(18,1),(53,1)}
         9:{1,3,5,7}:{(3,1),(6,1),(18,1),(19,1),(54,1),(160,1)}
        10:{2,3,4,7}:{(4,1),(14,1),(21,1),(53,1),(92,1)}
        11:{2,3,6}:{(4,1),(5,1),(149,1)}
        12:{1,2,5,6}:{(5,1),(6,1),(18,1),(22,1),(46,1)}
        13:{1,4,5,6}:{(6,1),(19,1),(24,1),(89,1),(142,1)}
        14:{1,2,4,7}:{(7,1),(10,1),(25,1),(28,1)}
        15:{1,2,3,6}:{(7,1),(11,1),(28,1),(63,1)}
        16:{1,3,5,6,7}:{(9,1),(30,1),(31,1),(71,1),(73,1),(114,1)}
        17:{2,3,6,7}:{(8,1),(11,1),(33,1),(73,1)}
        18:{1,2,5,7}:{(8,1),(9,1),(12,1),(33,1)}
        19:{1,4,5,7}:{(9,1),(13,1),(31,1),(35,1)}
        20:{2,3,4,5,7}:{(10,1),(27,1),(36,1),(37,1),(76,1),(80,1),(118,1),(121,1),(169,1),(170,1)}
        21:{2,3,4,6}:{(10,1),(11,1),(28,1),(37,1),(38,1),(70,1)}
        22:{2,3,5,6}:{(11,1),(12,1),(33,1),(37,1),(38,1),(39,1)}
        23:{1,2,4,5,6}:{(12,1),(13,1),(34,1),(38,1),(39,1),(40,1),(69,1),(83,1),(85,1),(120,1),(129,1),(184,1)}
        24:{3,4,5,6}:{(13,1),(35,1),(39,1),(40,1),(118,1),(168,1)}
        25:{1,3,4,7}:{(14,1),(41,1),(42,1),(92,1),(144,1)}
        26:{1,2,3,6,7}:{(15,1),(17,1),(43,1),(44,1),(87,1),(101,1),(149,1),(196,1),(197,1)}
        27:{1,2,4,5,7}:{(14,1),(20,1),(41,1),(45,1),(46,1),(89,1),(93,1),(144,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(21,1),(42,1),(46,1)}
        29:{1,2,3,5,6}:{(15,1),(22,1),(44,1),(46,1),(47,1),(60,1),(88,1),(90,1),(95,1),(149,1),(155,1),(156,1),(157,1),(197,1)}
        30:{1,2,5,6,7}:{(16,1),(18,1),(49,1),(50,1),(90,1),(98,1),(160,1)}
        31:{1,4,6,7}:{(16,1),(19,1),(51,1),(142,1)}
        32:{2,3,4,6,7}:{(17,1),(21,1),(43,1),(52,1),(53,1),(92,1),(100,1),(104,1),(149,1)}
        33:{2,3,5,7}:{(17,1),(18,1),(22,1),(53,1),(54,1)}
        34:{1,2,4,5,7}:{(18,1),(19,1),(23,1),(50,1),(53,1),(54,1),(55,1),(99,1),(106,1),(108,1),(160,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(51,1),(54,1),(55,1)}
        36:{2,3,4,6}:{(20,1),(45,1),(57,1),(104,1),(145,1),(149,1),(190,1)}
        37:{2,3,5}:{(21,1),(46,1),(58,1),(95,1)}
        38:{2,4,6}:{(22,1),(53,1),(58,1),(59,1)}
        39:{3,5,6}:{(23,1),(54,1),(59,1),(95,1),(149,1)}
        40:{2,4,5,6}:{(24,1),(55,1),(61,1),(147,1),(190,1)}
        41:{1,3,5,7}:{(25,1),(27,1),(63,1),(64,1),(121,1)}
        42:{1,3,4,6}:{(25,1),(28,1),(63,1),(64,1),(70,1),(117,1)}
        43:{1,2,4,6,7}:{(26,1),(28,1),(32,1),(62,1),(65,1),(66,1),(120,1),(131,1),(203,1)}
        44:{1,2,3,5,7}:{(26,1),(29,1),(33,1),(65,1),(66,1),(78,1),(116,1),(121,1),(177,1),(178,1),(180,1)}
        45:{1,2,4,6}:{(27,1),(36,1),(63,1),(68,1),(117,1)}
        46:{1,2,5}:{(28,1),(37,1),(64,1)}
        47:{1,2,4,6}:{(29,1),(38,1),(66,1),(69,1),(70,1),(83,1),(117,1),(172,1)}
        48:{1,4,5,6,7}:{(31,1),(71,1),(166,1)}
        49:{2,3,5,6,7}:{(30,1),(33,1),(72,1),(73,1),(75,1),(130,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(34,1),(72,1),(73,1),(74,1),(120,1),(131,1),(132,1)}
        51:{3,4,6,7}:{(31,1),(35,1),(71,1),(73,1),(74,1),(168,1)}
        52:{2,3,5,7}:{(32,1),(37,1),(65,1),(75,1),(76,1),(121,1),(130,1)}
        53:{2,4,7}:{(33,1),(38,1),(77,1)}
        54:{3,5,7}:{(34,1),(39,1),(73,1),(77,1)}
        55:{2,4,5,7}:{(35,1),(40,1),(74,1),(79,1)}
        56:{2,3,4,6,7}:{(36,1),(67,1),(80,1),(133,1),(170,1),(174,1),(203,1)}
        57:{2,3,5,6}:{(36,1),(37,1),(68,1),(80,1),(81,1),(125,1),(202,1)}
        58:{2,4,5}:{(37,1),(38,1),(82,1)}
        59:{3,4,6}:{(38,1),(39,1),(77,1),(82,1),(83,1)}
        60:{1,3,5,6}:{(39,1),(78,1),(83,1),(85,1),(126,1),(140,1),(175,1),(184,1)}
        61:{2,3,5,6}:{(39,1),(40,1),(79,1),(84,1),(85,1),(127,1),(176,1)}
        62:{1,3,4,6,7}:{(42,1),(43,1),(86,1),(87,1),(92,1),(142,1),(144,1),(149,1),(189,1)}
        63:{1,3,6}:{(41,1),(45,1),(149,1)}
        64:{1,3,5}:{(42,1),(46,1),(89,1),(95,1)}
        65:{1,2,5,7}:{(43,1),(46,1),(52,1),(86,1),(90,1),(160,1),(208,1)}
        66:{1,2,4,7}:{(44,1),(47,1),(53,1),(92,1),(106,1),(144,1),(192,1)}
        67:{1,2,4,6,7}:{(45,1),(56,1),(87,1),(93,1),(144,1)}
        68:{1,2,5,6}:{(45,1),(46,1),(57,1),(88,1),(93,1)}
        69:{1,2,4,5}:{(46,1),(47,1),(58,1),(89,1),(95,1),(111,1),(147,1),(156,1)}
        70:{3,4,6}:{(47,1),(92,1),(95,1),(149,1)}
        71:{3,5,6,7}:{(48,1),(51,1),(98,1),(188,1)}
        72:{2,4,6,7}:{(49,1),(53,1),(99,1),(100,1),(104,1)}
        73:{3,6,7}:{(50,1),(54,1),(149,1)}
        74:{2,4,6,7}:{(51,1),(55,1),(98,1),(102,1),(190,1)}
        75:{2,3,5,6}:{(52,1),(90,1),(104,1),(149,1),(159,1)}
        76:{2,4,5,7}:{(52,1),(53,1),(58,1),(104,1),(105,1)}
        77:{3,4,7}:{(53,1),(54,1),(59,1),(106,1)}
        78:{1,3,5,7}:{(54,1),(60,1),(101,1),(106,1),(108,1),(160,1),(163,1)}
        79:{2,3,5,7}:{(54,1),(55,1),(61,1),(102,1),(107,1),(108,1)}
        80:{2,3,5,7}:{(56,1),(57,1),(93,1),(109,1),(153,1),(208,1)}
        81:{2,4,5,6}:{(57,1),(58,1),(104,1),(109,1),(110,1)}
        82:{3,4,5}:{(58,1),(59,1),(95,1),(111,1)}
        83:{1,4,6}:{(59,1),(60,1),(106,1),(111,1)}
        84:{2,3,4,6}:{(59,1),(61,1),(107,1),(112,1),(113,1)}
        85:{1,2,5,6}:{(60,1),(61,1),(108,1),(113,1),(156,1),(197,1)}
        86:{1,3,5,7}:{(62,1),(64,1),(65,1),(114,1),(115,1),(121,1),(201,1)}
        87:{1,3,6,7}:{(63,1),(67,1),(116,1),(174,1)}
        88:{1,3,5,6}:{(63,1),(64,1),(68,1),(116,1),(117,1),(125,1)}
        89:{1,4,5}:{(64,1),(117,1),(118,1)}
        90:{1,2,5,6}:{(65,1),(75,1),(114,1),(120,1),(184,1),(202,1)}
        91:{1,2,4,5,7}:{(65,1),(66,1),(69,1),(76,1),(115,1),(120,1),(121,1),(135,1),(169,1),(177,1)}
        92:{3,4,7}:{(66,1),(70,1),(121,1)}
        93:{1,2,5,7}:{(67,1),(68,1),(80,1),(116,1)}
        94:{1,2,4,5,6}:{(68,1),(69,1),(81,1),(117,1),(120,1),(124,1),(125,1),(138,1),(166,1),(172,1),(181,1),(202,1)}
        95:{3,5}:{(69,1),(70,1)}
        96:{1,3,4,6}:{(70,1),(83,1),(122,1),(126,1),(128,1),(140,1),(175,1),(186,1)}
        97:{2,3,4,6}:{(70,1),(123,1),(127,1),(128,1),(172,1),(176,1),(205,1),(206,1)}
        98:{2,5,6,7}:{(71,1),(74,1),(202,1)}
        99:{2,4,5,7}:{(72,1),(129,1),(130,1)}
       100:{3,4,6,7}:{(72,1),(73,1),(77,1),(130,1),(131,1),(134,1)}
       101:{1,3,6,7}:{(73,1),(78,1),(131,1),(132,1),(175,1)}
       102:{2,3,6,7}:{(73,1),(74,1),(79,1),(132,1),(176,1)}
       103:{2,3,5,6,7}:{(75,1),(80,1),(119,1),(133,1),(174,1),(183,1)}
       104:{2,4,6}:{(75,1),(76,1),(134,1)}
       105:{3,4,5,7}:{(76,1),(77,1),(82,1),(121,1),(130,1),(134,1),(135,1)}
       106:{1,4,7}:{(77,1),(78,1),(83,1)}
       107:{2,3,4,7}:{(77,1),(79,1),(84,1),(136,1)}
       108:{1,2,5,7}:{(78,1),(79,1),(85,1),(132,1),(136,1)}
       109:{2,4,5,7}:{(80,1),(81,1),(133,1),(137,1)}
       110:{3,4,5,6}:{(81,1),(82,1),(125,1),(134,1),(137,1),(138,1)}
       111:{1,4,5}:{(82,1),(83,1),(126,1)}
       112:{2,3,4,5}:{(82,1),(84,1),(127,1),(139,1),(206,1)}
       113:{1,2,4,6}:{(83,1),(84,1),(85,1),(136,1),(139,1),(140,1)}
       114:{1,3,5,6}:{(86,1),(90,1),(142,1),(149,1),(188,1)}
       115:{1,4,5,7}:{(86,1),(89,1),(142,1),(143,1),(144,1)}
       116:{1,3,5,7}:{(87,1),(88,1),(93,1),(144,1),(153,1)}
       117:{1,4,6}:{(88,1),(89,1),(144,1),(145,1)}
       118:{3,4,5}:{(89,1),(95,1),(145,1),(147,1)}
       119:{1,2,5,6,7}:{(90,1),(93,1),(103,1),(141,1),(148,1),(200,1),(208,1)}
       120:{1,2,4,6}:{(90,1),(91,1),(104,1),(142,1),(149,1),(162,1),(190,1),(197,1)}
       121:{3,5,7}:{(91,1),(92,1),(95,1),(149,1)}
       122:{1,3,4,7}:{(92,1),(96,1),(106,1),(150,1),(152,1),(163,1)}
       123:{2,3,4,7}:{(92,1),(97,1),(151,1),(152,1),(192,1),(209,1)}
       124:{1,2,4,5,7}:{(93,1),(94,1),(109,1),(144,1),(148,1),(153,1),(164,1),(187,1),(192,1),(198,1),(208,1)}
       125:{3,5,6}:{(94,1),(95,1),(145,1),(149,1),(153,1)}
       126:{1,3,5}:{(95,1),(96,1),(111,1),(156,1)}
       127:{2,3,5}:{(95,1),(97,1),(147,1),(156,1)}
       128:{1,2,4,6}:{(96,1),(97,1),(152,1),(156,1),(157,1),(197,1),(199,1)}
       129:{2,4,5,6}:{(99,1),(104,1),(159,1)}
       130:{3,5,7}:{(99,1),(100,1),(159,1),(160,1)}
       131:{1,4,6,7}:{(100,1),(101,1),(106,1),(160,1),(162,1)}
       132:{1,2,6,7}:{(101,1),(102,1),(108,1),(197,1)}
       133:{2,4,6,7}:{(103,1),(104,1),(109,1),(161,1)}
       134:{3,4,6}:{(104,1),(105,1),(149,1),(159,1),(162,1)}
       135:{1,4,5,7}:{(105,1),(106,1),(111,1),(150,1),(160,1),(162,1)}
       136:{1,2,4,7}:{(106,1),(107,1),(108,1),(113,1),(163,1)}
       137:{3,4,5,7}:{(109,1),(110,1),(153,1),(161,1),(164,1)}
       138:{1,4,5,6}:{(110,1),(111,1),(154,1),(162,1),(164,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(113,1),(156,1),(165,1),(199,1)}
       140:{1,3,6}:{(113,1),(163,1),(165,1)}
       141:{1,3,5,6,7}:{(114,1),(116,1),(119,1),(167,1),(174,1),(201,1)}
       142:{1,4,6}:{(114,1),(115,1),(168,1)}
       143:{3,4,5,7}:{(115,1),(118,1),(121,1),(168,1),(169,1),(170,1),(201,1)}
       144:{1,4,7}:{(116,1),(117,1),(170,1)}
       145:{3,4,6}:{(117,1),(118,1),(125,1),(170,1),(172,1)}
       146:{1,3,4,5}:{(118,1),(126,1),(171,1),(173,1),(186,1)}
       147:{2,4,5}:{(118,1),(127,1),(172,1)}
       148:{1,2,4,6,7}:{(119,1),(120,1),(124,1),(133,1),(167,1),(174,1),(185,1),(203,1),(207,1)}
       149:{3,6}:{(120,1),(121,1)}
       150:{1,3,5,7}:{(121,1),(122,1),(126,1),(135,1),(175,1),(177,1)}
       151:{2,3,5,7}:{(121,1),(123,1),(127,1),(169,1),(176,1),(177,1)}
       152:{1,2,4,7}:{(122,1),(123,1),(128,1),(177,1),(178,1)}
       153:{3,5,7}:{(124,1),(125,1),(170,1),(174,1)}
       154:{1,3,5,6}:{(125,1),(126,1),(138,1),(171,1),(175,1),(179,1),(181,1)}
       155:{2,3,5,6}:{(125,1),(127,1),(172,1),(176,1),(180,1),(181,1),(202,1),(205,1)}
       156:{1,2,5}:{(126,1),(127,1),(128,1)}
       157:{1,2,3,6}:{(128,1),(140,1),(178,1),(182,1),(205,1)}
       158:{2,4,5,6,7}:{(129,1),(133,1),(183,1)}
       159:{3,5,6}:{(129,1),(130,1),(134,1),(184,1)}
       160:{1,5,7}:{(130,1),(131,1),(184,1)}
       161:{3,4,6,7}:{(133,1),(134,1),(137,1),(174,1),(183,1),(185,1)}
       162:{1,4,6}:{(134,1),(135,1),(175,1),(184,1)}
       163:{1,3,7}:{(136,1),(140,1)}
       164:{1,4,5,7}:{(137,1),(138,1),(179,1),(185,1)}
       165:{1,3,5}:{(139,1),(140,1),(186,1)}
       166:{1,4,5,6}:{(142,1),(187,1),(188,1)}
       167:{1,4,6,7}:{(141,1),(142,1),(144,1),(187,1),(189,1)}
       168:{3,4,6}:{(142,1),(143,1),(149,1),(188,1),(190,1)}
       169:{2,4,5,7}:{(143,1),(147,1),(151,1),(190,1),(192,1),(208,1)}
       170:{3,4,7}:{(144,1),(145,1),(153,1),(192,1)}
       171:{1,3,4,6}:{(145,1),(146,1),(154,1),(191,1),(193,1)}
       172:{2,4,6}:{(145,1),(147,1),(155,1),(192,1)}
       173:{1,2,4,5}:{(146,1),(147,1),(156,1),(193,1),(194,1),(199,1)}
       174:{3,6,7}:{(148,1),(149,1),(153,1)}
       175:{1,3,6}:{(149,1),(150,1),(162,1),(197,1)}
       176:{2,3,6}:{(149,1),(151,1),(190,1),(197,1)}
       177:{1,2,5,7}:{(150,1),(151,1),(152,1),(156,1),(197,1)}
       178:{1,2,3,7}:{(152,1),(157,1),(163,1),(209,1)}
       179:{1,3,5,7}:{(153,1),(154,1),(164,1),(191,1),(195,1),(198,1)}
       180:{2,3,5,7}:{(153,1),(155,1),(192,1),(196,1),(198,1),(208,1),(209,1)}
       181:{1,2,5,6}:{(154,1),(155,1),(156,1),(193,1),(197,1),(198,1)}
       182:{1,2,3,5}:{(156,1),(157,1),(165,1),(194,1),(199,1)}
       183:{3,5,6,7}:{(158,1),(159,1),(161,1),(200,1)}
       184:{1,5,6}:{(159,1),(160,1),(162,1)}
       185:{1,4,6,7}:{(161,1),(162,1),(164,1),(195,1),(200,1)}
       186:{1,3,4}:{(165,1),(199,1)}
       187:{1,4,5,7}:{(166,1),(167,1),(201,1)}
       188:{3,5,6}:{(166,1),(168,1),(201,1),(202,1)}
       189:{3,4,6,7}:{(167,1),(168,1),(170,1),(174,1),(201,1),(203,1)}
       190:{2,4,6}:{(168,1),(169,1),(176,1),(202,1)}
       191:{1,3,4,7}:{(170,1),(171,1),(179,1),(204,1)}
       192:{2,4,7}:{(170,1),(172,1),(180,1)}
       193:{1,2,4,6}:{(171,1),(172,1),(173,1),(181,1),(204,1),(205,1)}
       194:{2,3,5}:{(173,1),(205,1),(206,1)}
       195:{1,3,6,7}:{(174,1),(175,1),(179,1),(185,1),(207,1)}
       196:{2,3,6,7}:{(174,1),(176,1),(180,1),(203,1),(207,1)}
       197:{1,2,6}:{(175,1),(176,1),(177,1)}
       198:{1,2,5,7}:{(179,1),(180,1),(181,1),(204,1),(207,1)}
       199:{1,2,4}:{(182,1),(186,1),(206,1)}
       200:{1,5,6,7}:{(183,1),(184,1),(185,1)}
       201:{3,5,7}:{(187,1),(188,1),(189,1),(208,1)}
       202:{2,5,6}:{(188,1),(190,1),(208,1)}
       203:{2,4,6,7}:{(189,1),(190,1),(192,1),(196,1),(208,1)}
       204:{1,2,4,7}:{(191,1),(192,1),(193,1),(198,1),(209,1)}
       205:{2,3,6}:{(193,1),(194,1),(209,1)}
       206:{2,3,4}:{(194,1),(199,1)}
       207:{1,2,6,7}:{(195,1),(196,1),(197,1),(198,1)}
       208:{2,5,7}:{(201,1),(202,1),(203,1)}
       209:{2,3,7}:{(204,1),(205,1)}

 914 :   0:{1,3,4,5}:{(1,1),(2,1),(31,1),(76,1),(93,1)}
         1:{1,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(67,1)}
         2:{1,2,4,5}:{(0,1),(6,1),(7,1),(18,1),(58,1),(70,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(11,1),(43,1),(128,1),(186,1),(202,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(12,1),(13,1),(43,1),(76,1),(131,1)}
         5:{1,3,4,7}:{(1,1),(12,1),(14,1),(92,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(13,1),(14,1),(15,1),(46,1)}
         7:{2,3,5}:{(2,1),(15,1),(16,1)}
         8:{1,2,3,5}:{(7,1),(17,1),(18,1),(52,1),(58,1)}
         9:{3,4,5,7}:{(3,1),(21,1),(22,1),(23,1),(66,1),(177,1)}
        10:{1,4,5,6}:{(3,1),(4,1),(22,1),(100,1),(160,1)}
        11:{2,4,5,6}:{(3,1),(19,1),(23,1),(156,1),(206,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(22,1),(25,1),(26,1),(66,1)}
        13:{1,2,5,6}:{(4,1),(6,1),(26,1),(27,1),(58,1),(113,1)}
        14:{1,2,4,7}:{(5,1),(6,1),(26,1),(28,1),(69,1)}
        15:{2,3,6}:{(6,1),(7,1),(28,1)}
        16:{2,3,4}:{(7,1),(18,1)}
        17:{1,2,3,6}:{(8,1),(15,1),(34,1),(35,1),(77,1)}
        18:{1,2,4}:{(8,1),(16,1),(31,1)}
        19:{2,3,5,6}:{(11,1),(32,1),(37,1),(38,1),(43,1),(136,1),(192,1)}
        20:{4,5,6,7}:{(39,1),(149,1),(224,1)}
        21:{3,4,6,7}:{(9,1),(39,1),(40,1),(41,1),(91,1),(149,1),(186,1)}
        22:{1,4,5,7}:{(9,1),(10,1),(12,1),(40,1)}
        23:{2,4,5,7}:{(9,1),(11,1),(37,1),(41,1)}
        24:{1,2,4,5,6}:{(10,1),(11,1),(13,1),(38,1),(42,1),(43,1),(46,1),(83,1),(89,1),(143,1),(153,1),(200,1),(202,1)}
        25:{1,3,6,7}:{(12,1),(40,1),(44,1),(91,1),(131,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(14,1),(44,1),(45,1)}
        27:{2,3,5,6}:{(13,1),(15,1),(43,1),(45,1),(46,1),(48,1),(97,1),(153,1)}
        28:{2,3,7}:{(14,1),(15,1)}
        29:{2,3,4,6}:{(15,1),(16,1),(35,1),(46,1),(47,1),(48,1),(80,1),(97,1)}
        30:{2,3,4,5}:{(16,1),(36,1),(48,1),(49,1),(128,1)}
        31:{1,3,4}:{(18,1),(52,1)}
        32:{2,3,4,6}:{(19,1),(50,1),(53,1),(54,1),(67,1)}
        33:{1,2,3,5,6}:{(17,1),(27,1),(55,1),(56,1),(58,1),(62,1),(102,1),(104,1),(109,1),(113,1),(164,1),(166,1),(170,1),(172,1),(212,1)}
        34:{1,2,3,7}:{(17,1),(28,1),(57,1),(103,1)}
        35:{1,2,4,6}:{(17,1),(18,1),(29,1),(51,1),(57,1),(58,1),(113,1)}
        36:{1,2,4,5}:{(18,1),(30,1),(52,1),(58,1),(59,1),(100,1)}
        37:{2,3,5,7}:{(19,1),(23,1),(53,1),(60,1),(61,1),(66,1)}
        38:{1,2,5,6}:{(19,1),(54,1),(61,1),(62,1),(164,1),(212,1)}
        39:{3,5,6,7}:{(20,1),(21,1),(63,1),(64,1),(209,1)}
        40:{1,4,6,7}:{(21,1),(22,1),(25,1),(63,1),(160,1)}
        41:{2,4,6,7}:{(21,1),(23,1),(60,1),(64,1),(206,1)}
        42:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(26,1),(61,1),(65,1),(66,1),(69,1),(116,1),(122,1),(174,1),(177,1)}
        43:{3,5,6}:{(24,1),(66,1),(67,1),(109,1),(170,1)}
        44:{1,2,6,7}:{(25,1),(26,1),(68,1),(113,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(28,1),(66,1),(68,1),(69,1),(122,1)}
        46:{2,4,6}:{(27,1),(67,1),(69,1),(70,1)}
        47:{2,3,4,7}:{(28,1),(29,1),(57,1),(69,1),(71,1),(108,1)}
        48:{2,3,5}:{(29,1),(58,1),(70,1),(109,1)}
        49:{2,3,4,6}:{(30,1),(59,1),(72,1),(73,1),(159,1)}
        50:{2,3,4,5}:{(32,1),(74,1),(93,1),(136,1),(181,1)}
        51:{1,3,4,6}:{(31,1),(35,1),(75,1),(76,1),(77,1),(80,1),(130,1),(131,1)}
        52:{1,3,5}:{(31,1),(36,1),(77,1)}
        53:{2,3,4,7}:{(32,1),(37,1),(78,1),(92,1)}
        54:{1,2,4,6}:{(32,1),(38,1),(74,1),(78,1),(79,1),(89,1)}
        55:{1,2,3,5,7}:{(33,1),(34,1),(45,1),(81,1),(82,1),(84,1),(88,1),(132,1),(133,1),(140,1),(142,1),(190,1),(193,1)}
        56:{1,2,4,6}:{(33,1),(46,1),(80,1),(82,1),(83,1),(89,1),(130,1),(184,1)}
        57:{1,2,4,7}:{(34,1),(35,1),(47,1),(75,1),(84,1)}
        58:{1,2,5}:{(35,1),(48,1),(76,1)}
        59:{1,2,4,6}:{(36,1),(49,1),(77,1),(85,1),(86,1),(130,1)}
        60:{2,3,6,7}:{(37,1),(41,1),(87,1),(91,1),(192,1)}
        61:{1,2,5,7}:{(37,1),(38,1),(78,1),(87,1),(88,1)}
        62:{1,3,5,6}:{(38,1),(43,1),(79,1),(88,1),(89,1),(138,1),(194,1),(200,1)}
        63:{1,5,6,7}:{(39,1),(40,1),(188,1)}
        64:{2,5,6,7}:{(39,1),(41,1),(222,1)}
        65:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(44,1),(87,1),(90,1),(91,1),(94,1),(143,1),(146,1),(149,1)}
        66:{3,5,7}:{(42,1),(43,1),(91,1),(92,1)}
        67:{3,4,6}:{(43,1),(46,1),(89,1),(92,1),(93,1)}
        68:{2,3,6,7}:{(44,1),(45,1),(91,1),(94,1),(97,1)}
        69:{2,4,7}:{(45,1),(46,1),(92,1)}
        70:{2,4,5}:{(46,1),(48,1),(93,1)}
        71:{2,3,5,7}:{(47,1),(48,1),(84,1),(95,1),(97,1),(140,1)}
        72:{2,3,5,6}:{(48,1),(49,1),(85,1),(96,1),(97,1),(98,1),(141,1)}
        73:{2,3,4,7}:{(49,1),(86,1),(98,1),(187,1)}
        74:{1,2,4,5}:{(50,1),(54,1),(99,1),(117,1),(155,1),(164,1)}
        75:{1,3,4,7}:{(51,1),(57,1),(101,1),(103,1),(108,1),(161,1)}
        76:{1,3,5}:{(51,1),(58,1),(100,1),(109,1)}
        77:{1,3,6}:{(52,1),(59,1),(103,1)}
        78:{1,2,4,7}:{(53,1),(54,1),(61,1),(106,1),(116,1)}
        79:{1,3,6}:{(54,1),(99,1),(106,1)}
        80:{3,4,6}:{(56,1),(108,1),(109,1),(170,1)}
        81:{1,2,3,6,7}:{(55,1),(68,1),(110,1),(113,1),(115,1),(162,1),(170,1),(212,1),(214,1)}
        82:{1,2,4,7}:{(55,1),(56,1),(69,1),(108,1),(116,1),(161,1),(207,1)}
        83:{1,2,4,5}:{(56,1),(58,1),(70,1),(100,1),(109,1),(117,1),(156,1),(164,1)}
        84:{1,2,5,7}:{(57,1),(58,1),(71,1),(101,1),(113,1)}
        85:{1,2,5,6}:{(58,1),(59,1),(72,1),(102,1),(113,1),(114,1)}
        86:{1,2,4,7}:{(59,1),(73,1),(103,1),(114,1),(161,1)}
        87:{1,2,6,7}:{(60,1),(61,1),(115,1),(212,1)}
        88:{1,3,5,7}:{(61,1),(62,1),(66,1),(106,1),(115,1),(116,1),(174,1)}
        89:{1,4,6}:{(62,1),(67,1),(116,1),(117,1)}
        90:{1,2,5,6,7}:{(63,1),(64,1),(65,1),(118,1),(122,1),(172,1),(174,1)}
        91:{3,6,7}:{(65,1),(66,1),(170,1)}
        92:{3,4,7}:{(66,1),(67,1),(69,1),(116,1)}
        93:{3,4,5}:{(67,1),(70,1),(109,1),(117,1)}
        94:{2,4,6,7}:{(68,1),(69,1),(119,1),(122,1),(123,1)}
        95:{2,4,5,7}:{(69,1),(70,1),(71,1),(120,1),(122,1),(123,1)}
        96:{2,4,5,6}:{(70,1),(72,1),(121,1),(123,1),(124,1)}
        97:{2,3,6}:{(71,1),(113,1),(123,1),(170,1)}
        98:{2,3,5,7}:{(72,1),(73,1),(114,1),(124,1),(125,1),(171,1)}
        99:{1,3,5}:{(74,1),(79,1),(127,1)}
       100:{1,4,5}:{(76,1),(128,1),(130,1)}
       101:{1,3,5,7}:{(75,1),(76,1),(84,1),(129,1),(131,1),(140,1)}
       102:{1,3,5,6}:{(76,1),(77,1),(85,1),(130,1),(131,1),(132,1),(141,1),(188,1)}
       103:{1,3,7}:{(77,1),(86,1)}
       104:{1,2,3,6}:{(79,1),(126,1),(133,1),(134,1),(220,1)}
       105:{2,3,4,6}:{(80,1),(134,1),(135,1),(136,1),(181,1),(184,1),(192,1),(220,1)}
       106:{1,3,7}:{(78,1),(79,1)}
       107:{1,3,4,6}:{(79,1),(80,1),(89,1),(127,1),(134,1),(137,1),(138,1),(194,1)}
       108:{3,4,7}:{(80,1),(82,1),(140,1)}
       109:{3,5}:{(80,1),(83,1)}
       110:{1,2,4,6,7}:{(81,1),(82,1),(94,1),(139,1),(142,1),(143,1),(146,1),(189,1),(223,1)}
       111:{1,2,4,5,7}:{(82,1),(83,1),(84,1),(95,1),(129,1),(140,1),(142,1),(143,1),(147,1),(183,1),(190,1),(196,1)}
       112:{1,2,4,5,6}:{(83,1),(85,1),(96,1),(130,1),(141,1),(143,1),(144,1),(148,1),(184,1),(188,1),(191,1),(222,1),(224,1)}
       113:{1,2,6}:{(84,1),(97,1),(131,1)}
       114:{1,2,5,7}:{(85,1),(86,1),(98,1),(132,1),(145,1)}
       115:{1,3,6,7}:{(87,1),(88,1),(91,1),(146,1),(194,1)}
       116:{1,4,7}:{(88,1),(89,1),(92,1)}
       117:{1,4,5}:{(89,1),(93,1),(138,1)}
       118:{3,5,6,7}:{(90,1),(91,1),(149,1),(150,1),(197,1)}
       119:{3,4,6,7}:{(91,1),(92,1),(94,1),(146,1),(149,1),(150,1),(151,1)}
       120:{3,4,5,7}:{(92,1),(93,1),(95,1),(140,1),(147,1),(150,1),(151,1),(196,1)}
       121:{3,4,5,6}:{(93,1),(96,1),(141,1),(148,1),(151,1),(152,1),(224,1)}
       122:{2,5,7}:{(94,1),(150,1),(153,1)}
       123:{2,4,6}:{(95,1),(97,1),(151,1),(153,1)}
       124:{2,4,5,7}:{(96,1),(98,1),(152,1),(154,1)}
       125:{2,3,6,7}:{(97,1),(98,1),(145,1),(154,1),(198,1)}
       126:{1,2,3,5}:{(99,1),(104,1),(155,1),(164,1),(204,1)}
       127:{1,3,4}:{(99,1),(155,1)}
       128:{3,4,5}:{(100,1),(109,1),(156,1),(159,1)}
       129:{1,4,5,7}:{(100,1),(101,1),(158,1),(160,1),(161,1),(211,1)}
       130:{1,4,6}:{(100,1),(102,1),(159,1),(161,1)}
       131:{1,3,6}:{(101,1),(113,1),(160,1),(170,1)}
       132:{1,3,5,7}:{(102,1),(103,1),(114,1),(161,1),(162,1),(171,1),(211,1)}
       133:{1,2,3,7}:{(104,1),(106,1),(163,1),(228,1)}
       134:{1,2,4,6}:{(104,1),(105,1),(107,1),(155,1),(163,1),(164,1),(212,1)}
       135:{2,3,4,7}:{(105,1),(108,1),(163,1),(165,1),(207,1),(228,1)}
       136:{2,3,5}:{(105,1),(109,1),(156,1),(164,1)}
       137:{1,3,4,7}:{(106,1),(107,1),(108,1),(116,1),(163,1),(167,1)}
       138:{1,3,5}:{(107,1),(109,1),(117,1),(164,1)}
       139:{3,4,6,7}:{(108,1),(110,1),(169,1),(170,1),(216,1)}
       140:{3,5,7}:{(108,1),(109,1),(111,1),(170,1)}
       141:{3,5,6}:{(109,1),(112,1),(159,1),(170,1),(171,1)}
       142:{1,2,5,7}:{(110,1),(122,1),(169,1),(172,1),(174,1),(211,1),(229,1)}
       143:{1,2,4,6}:{(111,1),(113,1),(123,1),(160,1),(170,1),(172,1),(175,1),(206,1),(212,1),(216,1)}
       144:{1,2,4,5,7}:{(112,1),(114,1),(124,1),(161,1),(171,1),(173,1),(176,1),(207,1),(211,1),(213,1),(229,1),(230,1)}
       145:{1,2,6,7}:{(113,1),(114,1),(125,1),(162,1)}
       146:{1,4,6,7}:{(115,1),(116,1),(119,1),(174,1),(175,1)}
       147:{1,4,5,7}:{(116,1),(117,1),(120,1),(167,1),(174,1),(175,1)}
       148:{1,4,5,6}:{(117,1),(121,1),(168,1),(175,1),(176,1)}
       149:{4,6,7}:{(118,1),(177,1),(216,1)}
       150:{3,5,7}:{(119,1),(122,1),(174,1),(177,1),(178,1)}
       151:{3,4,6}:{(120,1),(123,1),(170,1),(175,1),(178,1),(216,1)}
       152:{3,4,5,7}:{(121,1),(124,1),(171,1),(176,1),(179,1),(230,1)}
       153:{2,5,6}:{(122,1),(123,1),(178,1)}
       154:{2,4,6,7}:{(123,1),(124,1),(125,1),(179,1),(180,1)}
       155:{1,2,4}:{(126,1),(127,1),(181,1)}
       156:{2,4,5}:{(128,1),(136,1),(184,1)}
       157:{1,3,4,5}:{(127,1),(128,1),(138,1),(182,1),(185,1)}
       158:{3,4,5,7}:{(128,1),(129,1),(140,1),(183,1),(186,1),(187,1),(196,1),(225,1)}
       159:{3,4,6}:{(128,1),(130,1),(141,1),(184,1),(187,1)}
       160:{1,4,6}:{(129,1),(131,1),(186,1),(188,1)}
       161:{1,4,7}:{(130,1),(132,1),(187,1)}
       162:{1,3,6,7}:{(131,1),(132,1),(145,1),(189,1),(198,1)}
       163:{1,2,4,7}:{(133,1),(134,1),(135,1),(137,1),(190,1)}
       164:{1,2,5}:{(134,1),(136,1),(138,1)}
       165:{2,3,5,7}:{(135,1),(136,1),(140,1),(183,1),(190,1),(192,1)}
       166:{2,3,5,6}:{(136,1),(141,1),(184,1),(191,1),(192,1),(193,1),(220,1),(222,1)}
       167:{1,3,5,7}:{(137,1),(138,1),(140,1),(147,1),(190,1),(194,1)}
       168:{1,3,5,6}:{(138,1),(141,1),(148,1),(185,1),(191,1),(194,1),(195,1)}
       169:{3,5,7}:{(139,1),(142,1),(196,1),(197,1)}
       170:{3,6}:{(140,1),(143,1)}
       171:{3,5,7}:{(141,1),(144,1),(187,1),(198,1)}
       172:{1,2,5,6}:{(142,1),(143,1),(153,1),(188,1),(197,1),(200,1),(222,1)}
       173:{1,2,4,6,7}:{(143,1),(144,1),(145,1),(154,1),(189,1),(198,1),(199,1),(201,1),(223,1),(226,1),(227,1)}
       174:{1,5,7}:{(146,1),(150,1),(200,1)}
       175:{1,4,6}:{(147,1),(151,1),(194,1),(200,1)}
       176:{1,4,5,7}:{(148,1),(152,1),(195,1),(201,1)}
       177:{4,5,7}:{(149,1),(150,1),(202,1)}
       178:{3,5,6}:{(150,1),(151,1),(153,1),(200,1),(202,1)}
       179:{3,4,6,7}:{(151,1),(152,1),(154,1),(198,1),(201,1),(203,1),(227,1)}
       180:{2,5,6,7}:{(153,1),(154,1),(203,1)}
       181:{2,3,4}:{(155,1),(204,1)}
       182:{1,2,4,5}:{(155,1),(156,1),(157,1),(164,1),(204,1),(205,1)}
       183:{2,4,5,7}:{(156,1),(158,1),(165,1),(206,1),(207,1),(229,1)}
       184:{2,4,6}:{(156,1),(159,1),(166,1),(207,1)}
       185:{1,3,4,6}:{(157,1),(159,1),(168,1),(205,1),(208,1)}
       186:{3,4,6}:{(158,1),(160,1),(170,1),(206,1),(209,1),(216,1)}
       187:{3,4,7}:{(159,1),(161,1),(171,1),(207,1)}
       188:{1,5,6}:{(160,1),(209,1),(211,1)}
       189:{1,4,6,7}:{(160,1),(161,1),(162,1),(210,1),(211,1)}
       190:{1,2,5,7}:{(163,1),(164,1),(165,1),(167,1),(212,1)}
       191:{1,2,5,6}:{(164,1),(166,1),(168,1),(205,1),(212,1),(213,1)}
       192:{2,3,6}:{(165,1),(170,1),(206,1),(212,1)}
       193:{2,3,5,7}:{(166,1),(171,1),(207,1),(213,1),(214,1),(228,1),(229,1)}
       194:{1,3,6}:{(167,1),(170,1),(175,1),(212,1)}
       195:{1,3,5,7}:{(168,1),(171,1),(176,1),(208,1),(213,1),(215,1)}
       196:{4,5,7}:{(169,1),(216,1)}
       197:{3,5,6}:{(169,1),(170,1),(172,1),(216,1)}
       198:{3,6,7}:{(170,1),(171,1),(173,1)}
       199:{1,2,5,6,7}:{(172,1),(173,1),(180,1),(211,1),(217,1),(218,1),(229,1)}
       200:{1,5,6}:{(174,1),(175,1),(178,1)}
       201:{1,4,6,7}:{(175,1),(176,1),(179,1),(215,1),(218,1)}
       202:{4,5,6}:{(177,1),(178,1),(216,1)}
       203:{3,5,6,7}:{(178,1),(179,1),(180,1),(218,1),(219,1)}
       204:{2,3,5}:{(181,1),(182,1),(220,1)}
       205:{1,2,4,6}:{(182,1),(184,1),(185,1),(191,1),(220,1),(221,1)}
       206:{2,4,6}:{(183,1),(186,1),(192,1),(222,1)}
       207:{2,4,7}:{(184,1),(187,1),(193,1)}
       208:{1,3,4,7}:{(185,1),(187,1),(195,1),(221,1)}
       209:{3,5,6}:{(186,1),(188,1),(222,1),(224,1),(225,1)}
       210:{3,4,6,7}:{(186,1),(187,1),(189,1),(198,1),(223,1),(225,1),(227,1)}
       211:{1,5,7}:{(188,1),(189,1),(225,1)}
       212:{1,2,6}:{(190,1),(192,1),(194,1)}
       213:{1,2,5,7}:{(191,1),(193,1),(195,1),(221,1),(226,1)}
       214:{2,3,6,7}:{(192,1),(193,1),(198,1),(223,1),(226,1)}
       215:{1,3,6,7}:{(194,1),(195,1),(198,1),(201,1),(226,1)}
       216:{4,6}:{(196,1),(197,1)}
       217:{3,5,6,7}:{(197,1),(198,1),(199,1),(225,1),(227,1)}
       218:{1,5,6,7}:{(200,1),(201,1),(203,1)}
       219:{4,5,6,7}:{(202,1),(203,1),(227,1)}
       220:{2,3,6}:{(204,1),(205,1),(228,1)}
       221:{1,2,4,7}:{(205,1),(207,1),(208,1),(213,1),(228,1)}
       222:{2,5,6}:{(206,1),(209,1),(229,1)}
       223:{2,4,6,7}:{(206,1),(207,1),(210,1),(214,1),(229,1)}
       224:{4,5,6}:{(209,1),(216,1),(230,1)}
       225:{3,5,7}:{(209,1),(210,1),(211,1),(229,1),(230,1)}
       226:{1,2,6,7}:{(212,1),(213,1),(214,1),(215,1)}
       227:{4,6,7}:{(216,1),(217,1),(230,1)}
       228:{2,3,7}:{(220,1),(221,1)}
       229:{2,5,7}:{(222,1),(223,1),(225,1)}
       230:{4,5,7}:{(224,1),(225,1),(227,1)}

 915 :   0:{2,4,5,6}:{(2,1),(3,1),(19,1),(43,1),(96,1)}
         1:{2,5,6,7}:{(5,1),(7,1),(78,1),(82,1)}
         2:{2,4,5,7}:{(0,1),(7,1),(8,1),(33,1),(36,1),(82,1)}
         3:{3,5,6}:{(0,1),(6,1),(8,1),(9,1)}
         4:{2,3,4,6}:{(12,1),(13,1),(14,1),(19,1),(48,1),(60,1),(99,1),(107,1),(148,1)}
         5:{3,5,6,7}:{(1,1),(15,1),(16,1),(20,1),(53,1),(56,1)}
         6:{3,4,6}:{(3,1),(11,1),(17,1),(18,1),(19,1),(60,1)}
         7:{2,4,6,7}:{(1,1),(2,1),(16,1),(20,1)}
         8:{3,5,7}:{(2,1),(3,1),(17,1),(20,1),(21,1)}
         9:{1,5,6}:{(3,1),(18,1),(21,1)}
        10:{2,3,5,6}:{(3,1),(12,1),(19,1),(22,1),(23,1),(48,1),(60,1),(96,1),(147,1)}
        11:{3,4,5}:{(6,1),(25,1),(26,1),(72,1)}
        12:{2,3,5}:{(4,1),(26,1),(28,1),(72,1),(132,1),(168,1)}
        13:{2,3,4,7}:{(4,1),(27,1),(29,1),(36,1),(84,1),(125,1),(131,1),(189,1)}
        14:{1,2,4,6}:{(4,1),(28,1),(29,1),(30,1),(73,1),(75,1),(126,1)}
        15:{1,5,6,7}:{(5,1),(31,1),(38,1),(81,1)}
        16:{4,6,7}:{(5,1),(33,1)}
        17:{3,4,7}:{(6,1),(8,1),(35,1),(36,1),(84,1)}
        18:{1,4,6}:{(6,1),(9,1),(25,1),(32,1),(35,1)}
        19:{2,4,6}:{(6,1),(10,1),(26,1),(36,1),(167,1)}
        20:{3,6,7}:{(7,1),(8,1),(38,1)}
        21:{1,5,7}:{(8,1),(9,1),(35,1),(38,1)}
        22:{2,3,5,7}:{(8,1),(10,1),(36,1),(39,1),(40,1),(82,1),(84,1),(133,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(28,1),(37,1),(40,1),(41,1),(73,1),(132,1),(173,1)}
        24:{3,4,5,7}:{(11,1),(17,1),(44,1),(45,1),(46,1),(56,1),(98,1),(102,1),(138,1),(155,1),(183,1)}
        25:{1,4,5}:{(11,1),(18,1),(42,1)}
        26:{2,4,5}:{(11,1),(12,1),(19,1),(183,1)}
        27:{2,3,5,7}:{(12,1),(13,1),(46,1),(48,1),(49,1),(98,1),(150,1),(154,1),(176,1)}
        28:{1,2,5}:{(12,1),(14,1),(50,1),(149,1)}
        29:{1,2,4,7}:{(13,1),(14,1),(49,1),(51,1),(101,1),(199,1)}
        30:{1,3,6}:{(14,1),(50,1),(51,1),(60,1)}
        31:{1,4,6,7}:{(15,1),(16,1),(52,1),(53,1)}
        32:{1,3,6}:{(18,1),(42,1),(54,1),(55,1),(60,1)}
        33:{4,5,7}:{(16,1),(43,1),(56,1),(155,1)}
        34:{3,4,6,7}:{(16,1),(17,1),(20,1),(44,1),(53,1),(56,1),(57,1),(58,1),(102,1),(109,1),(155,1)}
        35:{1,4,7}:{(17,1),(18,1),(21,1),(54,1)}
        36:{2,4,7}:{(17,1),(19,1),(22,1),(155,1)}
        37:{1,2,4,6}:{(18,1),(19,1),(23,1),(47,1),(55,1),(59,1),(60,1),(63,1),(107,1)}
        38:{1,6,7}:{(20,1),(21,1)}
        39:{2,3,6,7}:{(20,1),(22,1),(48,1),(58,1),(61,1),(109,1),(150,1)}
        40:{1,2,5,7}:{(21,1),(22,1),(23,1),(59,1),(61,1),(62,1),(154,1)}
        41:{1,3,5,6}:{(23,1),(50,1),(60,1),(62,1),(63,1),(100,1),(111,1),(147,1),(149,1),(157,1),(158,1)}
        42:{1,3,5}:{(25,1),(32,1),(64,1),(67,1),(72,1)}
        43:{4,5,6}:{(33,1),(68,1),(167,1)}
        44:{3,4,6}:{(24,1),(68,1),(69,1),(70,1),(124,1),(167,1)}
        45:{1,4,5,7}:{(24,1),(25,1),(35,1),(66,1),(69,1),(81,1),(127,1),(159,1)}
        46:{2,4,5,7}:{(24,1),(26,1),(27,1),(36,1),(70,1),(82,1),(128,1),(160,1)}
        47:{1,2,4,5}:{(25,1),(26,1),(28,1),(37,1),(67,1),(72,1),(75,1),(88,1),(122,1),(132,1)}
        48:{2,3,6}:{(27,1),(70,1),(73,1),(124,1),(173,1)}
        49:{1,2,5,7}:{(27,1),(28,1),(29,1),(73,1),(74,1),(169,1),(190,1)}
        50:{1,3,5}:{(28,1),(30,1),(72,1),(75,1)}
        51:{1,3,7}:{(29,1),(30,1),(84,1),(206,1)}
        52:{1,4,5,7}:{(31,1),(33,1),(65,1),(76,1),(81,1),(127,1)}
        53:{3,6,7}:{(31,1),(76,1),(78,1)}
        54:{1,3,7}:{(32,1),(35,1),(79,1),(84,1)}
        55:{1,2,6}:{(32,1),(67,1),(79,1),(80,1)}
        56:{3,5,7}:{(33,1),(34,1),(68,1),(81,1),(82,1)}
        57:{1,4,6,7}:{(34,1),(35,1),(38,1),(69,1),(77,1),(81,1),(127,1)}
        58:{2,4,6,7}:{(34,1),(36,1),(39,1),(70,1),(78,1),(82,1),(128,1)}
        59:{1,2,4,7}:{(35,1),(36,1),(37,1),(40,1),(79,1),(84,1),(87,1),(131,1)}
        60:{3,6}:{(37,1),(72,1),(84,1)}
        61:{1,2,6,7}:{(38,1),(39,1),(40,1),(73,1),(86,1),(169,1),(173,1)}
        62:{1,3,5,7}:{(40,1),(41,1),(84,1),(86,1),(87,1),(133,1),(135,1),(136,1)}
        63:{1,4,6}:{(41,1),(75,1),(85,1),(87,1),(88,1),(167,1)}
        64:{1,3,4}:{(42,1),(90,1),(99,1)}
        65:{1,4,5,6}:{(43,1),(52,1),(91,1),(95,1),(142,1)}
        66:{1,3,5,7}:{(42,1),(45,1),(54,1),(89,1),(92,1),(93,1),(98,1),(139,1),(204,1)}
        67:{1,2,5}:{(42,1),(55,1),(90,1),(94,1)}
        68:{3,5,6}:{(43,1),(44,1),(56,1),(95,1),(96,1)}
        69:{1,4,6}:{(44,1),(45,1),(92,1),(95,1)}
        70:{2,4,6}:{(44,1),(46,1),(48,1),(96,1)}
        71:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(49,1),(59,1),(93,1),(97,1),(98,1),(101,1),(108,1),(113,1),(146,1),(149,1),(151,1),(154,1),(155,1),(177,1),(182,1),(183,1),(186,1),(204,1)}
        72:{3,5}:{(47,1),(60,1),(99,1)}
        73:{1,2,6}:{(48,1),(49,1),(100,1)}
        74:{1,3,5,7}:{(49,1),(50,1),(51,1),(98,1),(100,1),(101,1),(149,1),(184,1),(200,1),(204,1)}
        75:{1,4}:{(50,1),(99,1)}
        76:{3,5,7}:{(52,1),(53,1),(91,1),(102,1),(104,1)}
        77:{1,3,6,7}:{(53,1),(54,1),(57,1),(92,1),(103,1),(105,1),(109,1)}
        78:{2,6,7}:{(53,1),(104,1)}
        79:{1,2,7}:{(54,1),(55,1),(106,1)}
        80:{2,3,6}:{(55,1),(60,1),(94,1),(106,1),(107,1)}
        81:{1,5,7}:{(56,1),(57,1),(95,1)}
        82:{2,5,7}:{(56,1),(58,1),(96,1)}
        83:{1,2,4,6,7}:{(57,1),(58,1),(59,1),(61,1),(97,1),(105,1),(108,1),(109,1),(112,1),(151,1),(153,1),(155,1)}
        84:{3,7}:{(59,1),(60,1)}
        85:{3,4,6}:{(60,1),(63,1),(99,1),(107,1),(110,1),(111,1),(157,1)}
        86:{1,3,6,7}:{(61,1),(62,1),(100,1),(109,1),(112,1),(157,1),(184,1)}
        87:{1,4,7}:{(62,1),(63,1),(110,1),(155,1)}
        88:{1,4,5}:{(63,1),(111,1),(149,1),(183,1)}
        89:{1,3,4,7}:{(64,1),(66,1),(114,1),(115,1),(125,1),(127,1),(170,1),(196,1)}
        90:{1,2,4}:{(64,1),(67,1),(116,1),(122,1)}
        91:{3,5,6}:{(65,1),(76,1),(117,1),(119,1)}
        92:{1,3,6}:{(66,1),(69,1),(120,1),(124,1),(209,1)}
        93:{1,2,5,7}:{(66,1),(67,1),(79,1),(115,1),(120,1),(121,1),(161,1)}
        94:{2,3,5}:{(67,1),(72,1),(80,1),(116,1),(122,1),(132,1)}
        95:{1,5,6}:{(68,1),(69,1),(81,1)}
        96:{2,5,6}:{(68,1),(70,1),(82,1)}
        97:{1,2,4,6}:{(69,1),(70,1),(71,1),(73,1),(120,1),(123,1),(124,1),(126,1),(137,1),(166,1),(167,1),(173,1),(198,1),(209,1)}
        98:{3,5,7}:{(71,1),(72,1),(84,1),(124,1),(125,1),(168,1),(170,1),(191,1)}
        99:{3,4}:{(72,1),(75,1),(122,1)}
       100:{1,3,6}:{(73,1),(74,1),(124,1),(126,1),(209,1)}
       101:{1,4,7}:{(74,1),(75,1),(125,1),(126,1),(207,1)}
       102:{3,4,7}:{(76,1),(117,1),(127,1),(128,1),(170,1)}
       103:{1,3,5,7}:{(76,1),(77,1),(81,1),(118,1),(127,1),(129,1),(133,1),(170,1)}
       104:{2,5,7}:{(76,1),(78,1),(119,1),(128,1)}
       105:{1,2,6,7}:{(77,1),(78,1),(79,1),(120,1),(129,1),(130,1),(209,1)}
       106:{2,3,7}:{(79,1),(80,1),(84,1),(131,1)}
       107:{2,4,6}:{(80,1),(85,1),(122,1),(131,1),(132,1),(173,1)}
       108:{1,2,5,7}:{(81,1),(82,1),(83,1),(123,1),(133,1),(136,1),(172,1)}
       109:{3,6,7}:{(83,1),(84,1),(124,1),(133,1),(170,1)}
       110:{3,4,7}:{(84,1),(85,1),(87,1),(131,1),(135,1)}
       111:{3,5}:{(85,1),(88,1),(132,1)}
       112:{1,4,6,7}:{(86,1),(87,1),(126,1),(134,1),(136,1),(137,1),(196,1),(209,1)}
       113:{1,4,5,7}:{(87,1),(88,1),(135,1),(136,1),(137,1),(174,1)}
       114:{1,3,4,6}:{(89,1),(92,1),(139,1),(140,1),(142,1),(148,1),(180,1),(201,1),(202,1)}
       115:{1,2,4,7}:{(89,1),(90,1),(93,1),(140,1),(141,1),(146,1)}
       116:{2,3}:{(90,1)}
       117:{3,4,6}:{(91,1),(102,1),(138,1),(142,1),(143,1),(180,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(95,1),(103,1),(139,1),(142,1),(144,1),(147,1),(180,1)}
       119:{2,5,6}:{(91,1),(104,1),(143,1)}
       120:{1,2,6}:{(92,1),(93,1),(145,1)}
       121:{2,3,5,7}:{(93,1),(94,1),(98,1),(106,1),(141,1),(145,1),(146,1),(154,1),(178,1),(182,1)}
       122:{2,4}:{(94,1),(99,1)}
       123:{1,2,5,6}:{(95,1),(96,1),(97,1),(108,1),(147,1),(149,1),(158,1),(182,1),(187,1)}
       124:{3,6}:{(97,1),(98,1)}
       125:{3,4,7}:{(98,1),(99,1),(101,1),(146,1),(148,1),(155,1),(201,1)}
       126:{1,4,6}:{(100,1),(101,1),(148,1),(149,1)}
       127:{1,4,7}:{(102,1),(103,1),(142,1),(155,1)}
       128:{2,4,7}:{(102,1),(104,1),(143,1),(150,1)}
       129:{1,2,5,7}:{(103,1),(104,1),(105,1),(144,1),(151,1),(152,1),(204,1)}
       130:{2,3,6,7}:{(105,1),(106,1),(109,1),(145,1),(152,1),(153,1),(205,1)}
       131:{2,4,7}:{(106,1),(107,1),(110,1),(154,1)}
       132:{2,5}:{(107,1),(111,1)}
       133:{3,5,7}:{(108,1),(109,1),(147,1),(155,1)}
       134:{3,4,6,7}:{(109,1),(110,1),(112,1),(148,1),(153,1),(155,1),(156,1),(157,1),(185,1),(188,1),(205,1)}
       135:{3,5,7}:{(110,1),(111,1),(113,1),(154,1),(157,1)}
       136:{1,5,7}:{(112,1),(149,1),(156,1),(158,1)}
       137:{1,4,6}:{(113,1),(157,1),(158,1),(188,1)}
       138:{3,4,5}:{(117,1),(159,1),(160,1),(191,1)}
       139:{1,3,5}:{(114,1),(159,1),(161,1),(168,1),(191,1),(208,1)}
       140:{1,2,4,6}:{(114,1),(115,1),(120,1),(161,1),(162,1),(166,1),(192,1)}
       141:{2,3,7}:{(115,1),(116,1),(162,1),(170,1)}
       142:{1,4,6}:{(117,1),(118,1),(127,1),(159,1),(167,1)}
       143:{2,4,6}:{(117,1),(119,1),(128,1),(160,1),(163,1)}
       144:{1,2,5,6}:{(118,1),(119,1),(120,1),(129,1),(161,1),(164,1),(165,1),(208,1),(209,1)}
       145:{2,3,6}:{(120,1),(121,1),(124,1),(166,1),(173,1)}
       146:{2,4,7}:{(121,1),(122,1),(125,1),(166,1),(192,1)}
       147:{3,5,6}:{(123,1),(124,1),(133,1),(167,1),(168,1)}
       148:{3,4,6}:{(124,1),(125,1),(126,1),(166,1),(167,1),(168,1)}
       149:{1,5}:{(126,1),(168,1)}
       150:{2,3,7}:{(128,1),(163,1),(169,1),(170,1)}
       151:{1,2,4,7}:{(127,1),(128,1),(129,1),(164,1),(169,1),(170,1),(171,1),(196,1)}
       152:{2,3,5,7}:{(129,1),(130,1),(133,1),(165,1),(170,1),(171,1),(172,1),(197,1)}
       153:{2,4,6,7}:{(130,1),(131,1),(134,1),(166,1),(171,1),(172,1),(173,1),(198,1)}
       154:{2,5,7}:{(131,1),(132,1),(135,1),(173,1)}
       155:{4,7}:{(133,1),(167,1)}
       156:{3,5,7}:{(134,1),(136,1),(168,1),(172,1),(174,1),(175,1)}
       157:{3,6}:{(135,1),(137,1),(173,1)}
       158:{1,5,6}:{(136,1),(137,1),(175,1),(209,1)}
       159:{1,4,5}:{(138,1),(139,1),(142,1),(183,1)}
       160:{2,4,5}:{(138,1),(143,1),(176,1)}
       161:{1,2,5}:{(139,1),(140,1),(178,1),(182,1)}
       162:{2,3,6}:{(140,1),(141,1),(178,1),(180,1)}
       163:{2,3,6}:{(143,1),(150,1),(176,1),(179,1),(180,1)}
       164:{1,2,4,6}:{(142,1),(143,1),(144,1),(151,1),(177,1),(179,1),(180,1),(181,1),(202,1)}
       165:{2,3,5,6}:{(144,1),(145,1),(147,1),(152,1),(178,1),(180,1),(181,1),(182,1),(187,1),(203,1),(205,1)}
       166:{2,4,6}:{(145,1),(146,1),(148,1),(182,1)}
       167:{4,6}:{(147,1),(155,1),(183,1)}
       168:{3,5}:{(148,1),(149,1),(182,1),(183,1)}
       169:{1,2,7}:{(150,1),(179,1),(184,1)}
       170:{3,7}:{(151,1),(180,1)}
       171:{2,4,7}:{(152,1),(155,1),(181,1),(185,1)}
       172:{2,5,7}:{(153,1),(156,1),(182,1),(187,1)}
       173:{2,6}:{(154,1),(157,1)}
       174:{4,5,7}:{(155,1),(156,1),(183,1),(188,1)}
       175:{3,5,6}:{(156,1),(157,1),(158,1),(187,1),(188,1),(205,1)}
       176:{2,3,5}:{(160,1),(163,1),(189,1),(190,1),(191,1)}
       177:{1,2,4,5}:{(159,1),(160,1),(161,1),(164,1),(190,1),(191,1),(192,1),(195,1),(207,1),(208,1)}
       178:{2,3,5}:{(161,1),(162,1),(191,1),(192,1)}
       179:{1,2,6}:{(163,1),(169,1),(190,1),(193,1)}
       180:{3,6}:{(164,1),(170,1),(191,1)}
       181:{2,4,6}:{(165,1),(167,1),(171,1),(192,1),(194,1),(195,1)}
       182:{2,5}:{(166,1),(168,1)}
       183:{4,5}:{(167,1),(168,1)}
       184:{1,3,7}:{(169,1),(170,1),(193,1),(196,1)}
       185:{3,4,7}:{(170,1),(171,1),(194,1),(196,1),(197,1)}
       186:{2,4,5,7}:{(171,1),(172,1),(174,1),(195,1),(197,1),(198,1)}
       187:{2,5,6}:{(172,1),(173,1),(175,1),(198,1)}
       188:{4,6}:{(174,1),(175,1)}
       189:{2,3,4}:{(176,1),(199,1),(201,1)}
       190:{1,2,5}:{(176,1),(179,1),(199,1),(200,1)}
       191:{3,5}:{(177,1),(180,1),(201,1)}
       192:{2,4}:{(178,1),(201,1)}
       193:{1,3,6}:{(179,1),(180,1),(184,1),(200,1),(202,1)}
       194:{3,4,6}:{(180,1),(181,1),(185,1),(201,1),(202,1),(203,1),(205,1)}
       195:{2,4,5}:{(181,1),(182,1),(183,1),(203,1)}
       196:{1,4,7}:{(184,1),(185,1),(202,1),(204,1)}
       197:{3,5,7}:{(185,1),(186,1),(203,1),(204,1),(205,1)}
       198:{2,4,6}:{(186,1),(187,1),(188,1),(205,1)}
       199:{1,2,4}:{(189,1),(190,1),(206,1),(207,1)}
       200:{1,3,5}:{(190,1),(191,1),(193,1),(206,1),(207,1),(208,1)}
       201:{3,4}:{(191,1),(192,1),(207,1)}
       202:{1,4,6}:{(193,1),(194,1),(196,1),(207,1),(208,1),(209,1)}
       203:{3,5}:{(194,1),(195,1),(208,1)}
       204:{1,5,7}:{(196,1),(197,1),(208,1),(209,1)}
       205:{3,6}:{(197,1),(198,1),(209,1)}
       206:{1,3}:{(199,1)}
       207:{1,4}:{(200,1),(201,1)}
       208:{1,5}:{(202,1),(203,1)}
       209:{1,6}:{(204,1),(205,1)}

 916 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(21,1),(160,1),(172,1),(208,1)}
         1:{1,3,4,5}:{(5,1),(6,1),(60,1),(68,1),(115,1)}
         2:{1,4,5,6}:{(0,1),(7,1),(10,1),(144,1),(198,1)}
         3:{2,4,5,6}:{(0,1),(8,1),(11,1),(181,1),(217,1)}
         4:{3,4,5,7}:{(0,1),(10,1),(11,1),(12,1),(40,1),(143,1)}
         5:{1,3,4,6}:{(1,1),(7,1),(13,1),(14,1),(39,1)}
         6:{1,2,4,5}:{(1,1),(13,1),(15,1),(48,1),(77,1),(88,1)}
         7:{1,3,5,6}:{(2,1),(5,1),(17,1),(18,1),(21,1),(115,1),(176,1)}
         8:{2,3,5,6}:{(3,1),(16,1),(19,1),(20,1),(21,1),(154,1),(205,1)}
         9:{1,2,4,5,6}:{(2,1),(3,1),(17,1),(19,1),(21,1),(22,1),(54,1),(57,1),(102,1),(165,1),(168,1),(170,1),(172,1)}
        10:{1,4,5,7}:{(2,1),(4,1),(18,1),(23,1)}
        11:{2,4,5,7}:{(3,1),(4,1),(20,1),(24,1)}
        12:{3,4,6,7}:{(4,1),(23,1),(24,1),(25,1),(62,1),(114,1),(208,1)}
        13:{1,2,4,6}:{(5,1),(6,1),(17,1),(26,1),(27,1),(54,1)}
        14:{1,3,4,7}:{(5,1),(18,1),(27,1),(61,1)}
        15:{2,3,5}:{(6,1),(26,1),(29,1)}
        16:{2,3,4,6}:{(8,1),(30,1),(31,1),(32,1),(39,1)}
        17:{1,2,5,6}:{(7,1),(13,1),(33,1),(34,1),(88,1),(148,1)}
        18:{1,3,5,7}:{(7,1),(10,1),(14,1),(34,1),(35,1),(40,1)}
        19:{1,2,5,6}:{(8,1),(31,1),(36,1),(37,1),(126,1),(185,1)}
        20:{2,3,5,7}:{(8,1),(11,1),(32,1),(37,1),(38,1),(40,1)}
        21:{3,5,6}:{(9,1),(39,1),(40,1),(130,1),(190,1)}
        22:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(34,1),(37,1),(40,1),(41,1),(78,1),(81,1),(137,1),(140,1),(143,1)}
        23:{1,4,6,7}:{(10,1),(12,1),(35,1),(42,1),(198,1)}
        24:{2,4,6,7}:{(11,1),(12,1),(38,1),(43,1),(217,1)}
        25:{3,5,6,7}:{(12,1),(42,1),(43,1),(44,1),(220,1)}
        26:{2,3,6}:{(13,1),(15,1),(47,1)}
        27:{1,2,4,7}:{(13,1),(14,1),(34,1),(47,1),(78,1)}
        28:{1,2,3,5}:{(15,1),(45,1),(48,1),(88,1),(92,1)}
        29:{2,3,4}:{(15,1),(48,1)}
        30:{2,3,4,5}:{(16,1),(50,1),(60,1),(151,1),(154,1)}
        31:{1,2,4,6}:{(16,1),(19,1),(50,1),(51,1),(52,1),(57,1)}
        32:{2,3,4,7}:{(16,1),(20,1),(52,1),(61,1)}
        33:{2,3,5,6}:{(17,1),(21,1),(26,1),(54,1),(55,1),(66,1),(120,1),(168,1)}
        34:{1,2,5,7}:{(17,1),(18,1),(27,1),(55,1),(56,1)}
        35:{1,3,6,7}:{(18,1),(23,1),(56,1),(62,1),(176,1)}
        36:{1,3,5,6}:{(19,1),(21,1),(51,1),(57,1),(58,1),(99,1),(159,1),(170,1)}
        37:{1,2,5,7}:{(19,1),(20,1),(52,1),(58,1),(59,1)}
        38:{2,3,6,7}:{(20,1),(24,1),(59,1),(62,1),(205,1)}
        39:{3,4,6}:{(21,1),(54,1),(57,1),(60,1),(61,1)}
        40:{3,5,7}:{(21,1),(22,1),(61,1),(62,1)}
        41:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(56,1),(59,1),(62,1),(63,1),(107,1),(110,1),(114,1),(165,1)}
        42:{1,5,6,7}:{(23,1),(25,1),(214,1)}
        43:{2,5,6,7}:{(24,1),(25,1),(225,1)}
        44:{4,5,6,7}:{(25,1),(114,1),(227,1)}
        45:{1,2,3,6}:{(26,1),(28,1),(64,1),(65,1),(121,1)}
        46:{2,3,4,6}:{(26,1),(29,1),(54,1),(64,1),(66,1),(67,1),(101,1),(120,1)}
        47:{2,3,7}:{(26,1),(27,1)}
        48:{1,2,4}:{(28,1),(29,1),(68,1)}
        49:{2,3,4,5}:{(29,1),(66,1),(69,1),(70,1),(160,1)}
        50:{1,2,4,5}:{(30,1),(31,1),(71,1),(80,1),(123,1),(126,1)}
        51:{1,3,6}:{(31,1),(71,1),(74,1)}
        52:{1,2,4,7}:{(31,1),(32,1),(37,1),(74,1),(81,1)}
        53:{1,2,3,5,6}:{(33,1),(36,1),(45,1),(72,1),(75,1),(76,1),(88,1),(126,1),(130,1),(145,1),(148,1),(182,1),(185,1),(190,1),(193,1)}
        54:{2,4,6}:{(33,1),(39,1),(77,1),(78,1)}
        55:{2,3,5,7}:{(33,1),(34,1),(40,1),(47,1),(78,1),(79,1),(137,1)}
        56:{1,2,6,7}:{(34,1),(35,1),(79,1),(148,1)}
        57:{1,4,6}:{(36,1),(39,1),(80,1),(81,1)}
        58:{1,3,5,7}:{(36,1),(37,1),(40,1),(74,1),(81,1),(82,1),(140,1)}
        59:{1,2,6,7}:{(37,1),(38,1),(82,1),(185,1)}
        60:{3,4,5}:{(39,1),(77,1),(80,1),(130,1)}
        61:{3,4,7}:{(39,1),(40,1),(78,1),(81,1)}
        62:{3,6,7}:{(40,1),(41,1),(190,1)}
        63:{1,2,5,6,7}:{(41,1),(42,1),(43,1),(86,1),(137,1),(140,1),(193,1)}
        64:{1,2,4,6}:{(45,1),(46,1),(48,1),(87,1),(88,1),(89,1),(148,1)}
        65:{1,2,3,7}:{(45,1),(47,1),(89,1),(150,1)}
        66:{2,3,5}:{(46,1),(77,1),(88,1),(130,1)}
        67:{2,3,4,7}:{(46,1),(47,1),(78,1),(89,1),(91,1),(131,1)}
        68:{1,3,4}:{(48,1),(92,1)}
        69:{1,2,4,5}:{(48,1),(49,1),(88,1),(92,1),(93,1),(144,1)}
        70:{2,3,4,6}:{(49,1),(90,1),(93,1),(94,1),(187,1)}
        71:{1,3,5}:{(50,1),(51,1),(96,1)}
        72:{1,2,3,6}:{(51,1),(95,1),(97,1),(98,1),(200,1)}
        73:{1,3,4,6}:{(51,1),(57,1),(96,1),(97,1),(99,1),(100,1),(101,1),(159,1)}
        74:{1,3,7}:{(51,1),(52,1)}
        75:{1,2,4,6}:{(53,1),(54,1),(57,1),(101,1),(102,1),(103,1),(173,1),(202,1)}
        76:{1,2,3,5,7}:{(53,1),(55,1),(58,1),(65,1),(98,1),(103,1),(104,1),(118,1),(157,1),(162,1),(166,1),(175,1),(204,1)}
        77:{2,4,5}:{(54,1),(60,1),(66,1)}
        78:{2,4,7}:{(54,1),(55,1),(61,1)}
        79:{2,3,6,7}:{(55,1),(56,1),(62,1),(107,1),(120,1)}
        80:{1,4,5}:{(57,1),(60,1),(99,1)}
        81:{1,4,7}:{(57,1),(58,1),(61,1)}
        82:{1,3,6,7}:{(58,1),(59,1),(62,1),(110,1),(159,1)}
        83:{3,4,5,6}:{(60,1),(105,1),(108,1),(111,1),(112,1),(161,1),(227,1)}
        84:{3,4,5,7}:{(60,1),(61,1),(106,1),(109,1),(112,1),(113,1),(162,1),(211,1)}
        85:{3,4,6,7}:{(61,1),(62,1),(107,1),(110,1),(112,1),(113,1),(114,1)}
        86:{3,5,6,7}:{(62,1),(63,1),(113,1),(114,1),(210,1)}
        87:{1,3,4,6}:{(64,1),(68,1),(101,1),(115,1),(116,1),(121,1),(173,1),(176,1)}
        88:{1,2,5}:{(64,1),(66,1),(115,1)}
        89:{1,2,4,7}:{(64,1),(65,1),(67,1),(116,1),(118,1)}
        90:{2,3,5,6}:{(66,1),(70,1),(105,1),(117,1),(119,1),(120,1),(161,1)}
        91:{2,3,5,7}:{(66,1),(67,1),(106,1),(118,1),(120,1),(162,1)}
        92:{1,3,5}:{(68,1),(69,1),(121,1)}
        93:{1,2,4,6}:{(69,1),(70,1),(117,1),(121,1),(122,1),(173,1)}
        94:{2,3,4,7}:{(70,1),(119,1),(122,1),(207,1)}
        95:{1,2,3,5}:{(71,1),(72,1),(123,1),(126,1),(178,1)}
        96:{1,3,4}:{(71,1),(123,1)}
        97:{1,2,4,6}:{(72,1),(73,1),(123,1),(125,1),(126,1),(127,1),(185,1)}
        98:{1,2,3,7}:{(72,1),(74,1),(127,1),(215,1)}
        99:{1,3,5}:{(73,1),(80,1),(126,1),(130,1)}
       100:{1,3,4,7}:{(73,1),(74,1),(81,1),(127,1),(129,1),(131,1)}
       101:{3,4,6}:{(75,1),(130,1),(131,1),(190,1)}
       102:{1,2,4,5}:{(75,1),(77,1),(80,1),(88,1),(126,1),(130,1),(144,1),(181,1)}
       103:{1,2,4,7}:{(75,1),(76,1),(78,1),(81,1),(131,1),(197,1),(216,1)}
       104:{1,2,3,6,7}:{(76,1),(79,1),(82,1),(134,1),(148,1),(185,1),(190,1),(199,1),(218,1)}
       105:{2,4,5,6}:{(77,1),(83,1),(90,1),(135,1),(136,1)}
       106:{2,4,5,7}:{(77,1),(78,1),(84,1),(91,1),(136,1),(137,1)}
       107:{2,4,6,7}:{(78,1),(79,1),(85,1),(136,1),(137,1)}
       108:{1,4,5,6}:{(80,1),(83,1),(128,1),(138,1),(139,1)}
       109:{1,4,5,7}:{(80,1),(81,1),(84,1),(129,1),(139,1),(140,1)}
       110:{1,4,6,7}:{(81,1),(82,1),(85,1),(139,1),(140,1)}
       111:{3,4,5,7}:{(83,1),(135,1),(138,1),(141,1),(189,1),(230,1)}
       112:{3,4,6}:{(84,1),(136,1),(139,1),(142,1),(190,1),(222,1)}
       113:{3,5,7}:{(85,1),(137,1),(140,1),(142,1),(143,1)}
       114:{4,6,7}:{(86,1),(143,1),(222,1)}
       115:{1,3,5}:{(87,1),(88,1),(130,1),(144,1)}
       116:{1,3,4,7}:{(87,1),(89,1),(131,1),(146,1),(150,1),(197,1)}
       117:{1,2,5,6}:{(88,1),(90,1),(93,1),(145,1),(147,1),(148,1)}
       118:{1,2,5,7}:{(88,1),(89,1),(91,1),(146,1),(148,1)}
       119:{2,3,5,7}:{(90,1),(94,1),(135,1),(147,1),(149,1),(189,1)}
       120:{2,3,6}:{(91,1),(136,1),(148,1),(190,1)}
       121:{1,3,6}:{(92,1),(93,1),(150,1)}
       122:{1,2,4,7}:{(93,1),(94,1),(147,1),(150,1),(197,1)}
       123:{1,2,4}:{(95,1),(96,1),(151,1)}
       124:{1,3,4,5}:{(96,1),(99,1),(152,1),(153,1),(160,1)}
       125:{2,3,4,6}:{(97,1),(101,1),(151,1),(154,1),(155,1),(200,1),(202,1),(205,1)}
       126:{1,2,5}:{(97,1),(99,1),(154,1)}
       127:{1,2,4,7}:{(97,1),(98,1),(100,1),(155,1),(157,1)}
       128:{1,3,5,6}:{(99,1),(108,1),(153,1),(156,1),(158,1),(159,1),(161,1)}
       129:{1,3,5,7}:{(99,1),(100,1),(109,1),(157,1),(159,1),(162,1)}
       130:{3,5}:{(101,1),(102,1)}
       131:{3,4,7}:{(101,1),(103,1),(162,1)}
       132:{1,2,4,5,6}:{(102,1),(105,1),(108,1),(117,1),(156,1),(161,1),(164,1),(165,1),(173,1),(202,1),(214,1),(225,1),(227,1)}
       133:{1,2,4,5,7}:{(102,1),(103,1),(106,1),(109,1),(118,1),(157,1),(162,1),(165,1),(166,1),(174,1),(203,1),(211,1)}
       134:{1,2,4,6,7}:{(103,1),(104,1),(107,1),(110,1),(163,1),(165,1),(166,1),(213,1),(224,1)}
       135:{2,4,5,7}:{(105,1),(111,1),(119,1),(167,1)}
       136:{2,4,6}:{(106,1),(112,1),(120,1),(168,1)}
       137:{2,5,7}:{(107,1),(113,1),(168,1)}
       138:{1,4,5,7}:{(108,1),(111,1),(158,1),(169,1)}
       139:{1,4,6}:{(109,1),(112,1),(159,1),(170,1)}
       140:{1,5,7}:{(110,1),(113,1),(170,1)}
       141:{3,4,6,7}:{(111,1),(112,1),(167,1),(169,1),(171,1),(209,1),(228,1)}
       142:{3,5,6}:{(112,1),(113,1),(168,1),(170,1),(172,1)}
       143:{4,5,7}:{(113,1),(114,1),(172,1)}
       144:{1,4,5}:{(115,1),(160,1),(173,1)}
       145:{1,3,5,6}:{(115,1),(117,1),(121,1),(161,1),(173,1),(175,1),(176,1),(214,1)}
       146:{1,3,5,7}:{(115,1),(116,1),(118,1),(162,1),(174,1),(176,1)}
       147:{1,2,5,7}:{(117,1),(119,1),(122,1),(175,1),(177,1)}
       148:{1,2,6}:{(118,1),(120,1),(176,1)}
       149:{2,3,6,7}:{(119,1),(120,1),(167,1),(177,1),(209,1)}
       150:{1,3,7}:{(121,1),(122,1)}
       151:{2,3,4}:{(123,1),(178,1)}
       152:{1,2,4,5}:{(123,1),(124,1),(126,1),(178,1),(179,1),(181,1)}
       153:{1,3,4,6}:{(124,1),(128,1),(179,1),(180,1),(187,1)}
       154:{2,3,5}:{(125,1),(126,1),(130,1),(181,1)}
       155:{2,3,4,7}:{(125,1),(127,1),(131,1),(183,1),(215,1),(216,1)}
       156:{1,2,5,6}:{(126,1),(128,1),(179,1),(182,1),(184,1),(185,1)}
       157:{1,2,5,7}:{(126,1),(127,1),(129,1),(183,1),(185,1)}
       158:{1,3,5,7}:{(128,1),(138,1),(180,1),(184,1),(186,1),(189,1)}
       159:{1,3,6}:{(129,1),(139,1),(185,1),(190,1)}
       160:{3,4,5}:{(130,1),(144,1),(181,1),(187,1)}
       161:{3,5,6}:{(130,1),(132,1),(187,1),(189,1),(190,1)}
       162:{3,5,7}:{(130,1),(131,1),(133,1),(190,1)}
       163:{3,4,6,7}:{(131,1),(134,1),(190,1),(191,1),(222,1)}
       164:{1,2,4,5,7}:{(132,1),(135,1),(138,1),(147,1),(184,1),(189,1),(192,1),(197,1),(216,1),(223,1),(229,1),(230,1)}
       165:{1,2,4,6}:{(133,1),(136,1),(139,1),(148,1),(185,1),(190,1),(193,1),(198,1),(217,1),(222,1)}
       166:{1,2,5,7}:{(134,1),(137,1),(140,1),(191,1),(193,1),(223,1),(229,1)}
       167:{2,4,6,7}:{(135,1),(136,1),(141,1),(149,1),(194,1)}
       168:{2,5,6}:{(136,1),(137,1),(142,1)}
       169:{1,4,6,7}:{(138,1),(139,1),(141,1),(186,1),(195,1)}
       170:{1,5,6}:{(139,1),(140,1),(142,1)}
       171:{3,5,6,7}:{(141,1),(142,1),(194,1),(195,1),(196,1)}
       172:{4,5,6}:{(142,1),(143,1),(222,1)}
       173:{1,4,6}:{(144,1),(145,1),(187,1),(197,1)}
       174:{1,4,5,7}:{(144,1),(146,1),(188,1),(197,1),(198,1),(223,1)}
       175:{1,3,5,7}:{(145,1),(147,1),(150,1),(189,1),(197,1),(199,1),(223,1)}
       176:{1,3,6}:{(146,1),(148,1),(190,1),(198,1)}
       177:{1,2,6,7}:{(147,1),(148,1),(149,1),(199,1)}
       178:{2,3,5}:{(151,1),(152,1),(200,1)}
       179:{1,2,4,6}:{(152,1),(153,1),(156,1),(200,1),(201,1),(202,1)}
       180:{1,3,4,7}:{(153,1),(158,1),(201,1),(207,1)}
       181:{2,4,5}:{(154,1),(160,1),(202,1)}
       182:{2,3,5,6}:{(154,1),(156,1),(161,1),(200,1),(202,1),(204,1),(205,1),(225,1)}
       183:{2,3,5,7}:{(154,1),(155,1),(157,1),(162,1),(203,1),(205,1)}
       184:{1,2,5,7}:{(156,1),(158,1),(201,1),(204,1),(206,1)}
       185:{1,2,6}:{(157,1),(159,1),(205,1)}
       186:{1,3,6,7}:{(158,1),(159,1),(169,1),(206,1),(209,1)}
       187:{3,4,6}:{(160,1),(161,1),(173,1),(202,1),(207,1)}
       188:{3,4,5,7}:{(160,1),(162,1),(174,1),(203,1),(207,1),(208,1),(211,1),(226,1)}
       189:{3,5,7}:{(161,1),(164,1),(207,1),(209,1)}
       190:{3,6}:{(162,1),(165,1)}
       191:{3,5,7}:{(163,1),(166,1),(210,1),(211,1)}
       192:{1,2,4,6,7}:{(164,1),(165,1),(167,1),(169,1),(177,1),(206,1),(209,1),(212,1),(213,1),(224,1),(228,1)}
       193:{1,2,5,6}:{(165,1),(166,1),(168,1),(170,1),(210,1),(214,1),(225,1)}
       194:{2,5,6,7}:{(167,1),(168,1),(171,1)}
       195:{1,5,6,7}:{(169,1),(170,1),(171,1)}
       196:{4,5,6,7}:{(171,1),(172,1),(228,1)}
       197:{1,4,7}:{(173,1),(175,1),(207,1)}
       198:{1,4,6}:{(174,1),(176,1),(208,1),(214,1)}
       199:{1,3,6,7}:{(175,1),(176,1),(177,1),(209,1),(213,1)}
       200:{2,3,6}:{(178,1),(179,1),(215,1)}
       201:{1,2,4,7}:{(179,1),(180,1),(184,1),(215,1),(216,1)}
       202:{2,4,6}:{(181,1),(182,1),(187,1),(216,1)}
       203:{2,4,5,7}:{(181,1),(183,1),(188,1),(216,1),(217,1),(229,1)}
       204:{2,3,5,7}:{(182,1),(184,1),(189,1),(215,1),(216,1),(218,1),(229,1)}
       205:{2,3,6}:{(183,1),(185,1),(190,1),(217,1)}
       206:{1,2,6,7}:{(184,1),(185,1),(186,1),(218,1)}
       207:{3,4,7}:{(187,1),(189,1),(197,1),(216,1)}
       208:{3,4,6}:{(188,1),(190,1),(198,1),(217,1),(220,1),(222,1)}
       209:{3,6,7}:{(189,1),(190,1),(192,1)}
       210:{3,5,6}:{(190,1),(191,1),(193,1),(222,1)}
       211:{4,5,7}:{(191,1),(222,1)}
       212:{1,2,5,6,7}:{(192,1),(193,1),(194,1),(195,1),(221,1),(223,1),(229,1)}
       213:{1,4,6,7}:{(197,1),(198,1),(199,1),(219,1),(223,1)}
       214:{1,5,6}:{(198,1),(220,1),(223,1)}
       215:{2,3,7}:{(200,1),(201,1)}
       216:{2,4,7}:{(202,1),(204,1),(207,1)}
       217:{2,4,6}:{(203,1),(205,1),(208,1),(225,1)}
       218:{2,3,6,7}:{(204,1),(205,1),(206,1),(209,1),(224,1)}
       219:{3,4,6,7}:{(207,1),(208,1),(209,1),(213,1),(224,1),(226,1),(228,1)}
       220:{3,5,6}:{(208,1),(214,1),(225,1),(226,1),(227,1)}
       221:{3,5,6,7}:{(209,1),(210,1),(212,1),(226,1),(228,1)}
       222:{4,6}:{(210,1),(211,1)}
       223:{1,5,7}:{(213,1),(214,1),(226,1)}
       224:{2,4,6,7}:{(216,1),(217,1),(218,1),(219,1),(229,1)}
       225:{2,5,6}:{(217,1),(220,1),(229,1)}
       226:{3,5,7}:{(219,1),(220,1),(223,1),(229,1),(230,1)}
       227:{4,5,6}:{(220,1),(222,1),(230,1)}
       228:{4,6,7}:{(221,1),(222,1),(230,1)}
       229:{2,5,7}:{(224,1),(225,1),(226,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

 917 :   0:{1,2,4,5,6}:{(1,1),(2,1),(13,1),(14,1),(16,1),(38,1),(77,1),(78,1),(79,1),(80,1),(98,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(4,1),(7,1),(57,1),(90,1),(101,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(30,1),(31,1),(33,1),(69,1),(70,1),(71,1)}
         3:{1,3,4,6}:{(10,1),(11,1),(12,1),(13,1),(44,1),(48,1),(75,1),(96,1)}
         4:{3,4,6}:{(1,1),(9,1),(13,1),(14,1),(15,1),(48,1),(75,1)}
         5:{1,3,5,6}:{(1,1),(10,1),(13,1),(16,1),(17,1),(44,1),(48,1),(72,1),(78,1),(95,1),(97,1),(103,1)}
         6:{2,3,5,6}:{(1,1),(14,1),(16,1),(18,1),(37,1),(42,1),(48,1),(74,1),(79,1),(82,1),(97,1),(98,1)}
         7:{3,5,7}:{(1,1),(2,1),(15,1),(19,1)}
         8:{1,2,4,6,7}:{(2,1),(19,1),(20,1),(50,1),(51,1),(53,1),(54,1),(77,1)}
         9:{3,4,5}:{(4,1),(21,1),(22,1),(57,1),(101,1)}
        10:{1,3,5}:{(3,1),(21,1),(24,1),(57,1),(101,1)}
        11:{1,2,4,6}:{(3,1),(24,1),(26,1),(27,1),(62,1),(64,1),(92,1)}
        12:{1,3,4,7}:{(3,1),(25,1),(27,1),(30,1),(67,1),(89,1)}
        13:{1,4,6}:{(4,1),(5,1),(21,1),(30,1),(86,1),(102,1)}
        14:{2,4,6}:{(4,1),(6,1),(22,1),(31,1),(62,1),(102,1)}
        15:{3,4,7}:{(4,1),(7,1),(30,1),(31,1),(67,1)}
        16:{1,2,5,6}:{(5,1),(6,1),(24,1),(29,1),(33,1),(55,1),(64,1),(88,1)}
        17:{1,3,5,7}:{(5,1),(7,1),(30,1),(33,1),(34,1),(67,1),(69,1),(93,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(31,1),(33,1),(35,1),(67,1),(70,1),(93,1)}
        19:{3,6,7}:{(7,1),(8,1),(90,1)}
        20:{1,2,5,6,7}:{(8,1),(36,1),(69,1),(70,1),(91,1)}
        21:{1,4,5}:{(9,1),(10,1),(13,1),(103,1),(104,1)}
        22:{2,4,5}:{(9,1),(14,1),(37,1),(98,1),(104,1)}
        23:{3,4,5,7}:{(9,1),(15,1),(39,1),(40,1),(41,1),(52,1),(76,1),(99,1),(104,1)}
        24:{1,2,5}:{(10,1),(11,1),(42,1),(98,1)}
        25:{1,3,5,7}:{(10,1),(12,1),(39,1),(43,1),(44,1),(76,1)}
        26:{2,3,6}:{(11,1),(42,1),(45,1),(48,1)}
        27:{1,2,4,7}:{(11,1),(12,1),(43,1),(45,1),(81,1)}
        28:{2,3,4,6}:{(14,1),(37,1),(46,1),(47,1),(48,1),(74,1),(75,1),(96,1)}
        29:{1,2,4,6}:{(13,1),(14,1),(16,1),(38,1),(48,1),(49,1)}
        30:{1,4,7}:{(13,1),(15,1),(17,1),(99,1)}
        31:{2,4,7}:{(14,1),(15,1),(18,1),(99,1)}
        32:{3,4,6,7}:{(15,1),(19,1),(41,1),(50,1),(51,1),(52,1),(54,1),(84,1),(96,1),(99,1)}
        33:{1,2,5,7}:{(16,1),(17,1),(18,1),(49,1),(53,1)}
        34:{1,3,6,7}:{(17,1),(19,1),(44,1),(50,1),(53,1),(84,1),(95,1)}
        35:{2,3,6,7}:{(18,1),(19,1),(51,1),(53,1),(74,1),(82,1),(84,1)}
        36:{3,5,6,7}:{(19,1),(20,1),(52,1),(54,1),(97,1)}
        37:{2,3,5}:{(22,1),(28,1),(55,1),(57,1),(101,1)}
        38:{1,2,4,5}:{(21,1),(22,1),(24,1),(29,1),(55,1),(57,1),(62,1),(86,1)}
        39:{1,4,5,7}:{(21,1),(23,1),(25,1),(30,1),(59,1),(69,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(31,1),(56,1),(60,1),(70,1)}
        41:{3,4,6}:{(23,1),(59,1),(60,1),(61,1),(90,1),(102,1)}
        42:{2,3,5}:{(24,1),(26,1),(57,1),(62,1)}
        43:{1,2,5,7}:{(24,1),(25,1),(27,1),(63,1),(64,1)}
        44:{1,3,6}:{(25,1),(59,1),(64,1),(90,1)}
        45:{2,3,7}:{(26,1),(27,1),(67,1)}
        46:{1,2,4,6}:{(28,1),(55,1),(65,1),(66,1),(86,1),(88,1),(100,1)}
        47:{2,3,4,7}:{(28,1),(31,1),(56,1),(66,1),(67,1),(89,1)}
        48:{3,6}:{(29,1),(57,1),(67,1)}
        49:{1,2,4,7}:{(29,1),(30,1),(31,1),(33,1),(67,1)}
        50:{1,4,6,7}:{(30,1),(32,1),(34,1),(59,1),(69,1),(100,1)}
        51:{2,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1),(92,1)}
        52:{3,5,7}:{(32,1),(61,1),(69,1),(70,1),(71,1),(101,1)}
        53:{1,2,6,7}:{(33,1),(34,1),(35,1),(64,1),(88,1)}
        54:{4,6,7}:{(36,1),(71,1),(102,1)}
        55:{1,2,5}:{(37,1),(46,1),(72,1),(103,1)}
        56:{2,3,5,7}:{(37,1),(40,1),(47,1),(73,1),(74,1),(76,1)}
        57:{3,5}:{(38,1),(48,1),(75,1)}
        58:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(49,1),(73,1),(76,1),(77,1),(81,1),(85,1),(94,1),(98,1),(99,1),(103,1),(104,1)}
        59:{1,4,6}:{(39,1),(41,1),(44,1),(78,1)}
        60:{2,4,6}:{(40,1),(41,1),(74,1),(79,1)}
        61:{3,5,6}:{(41,1),(52,1),(78,1),(79,1),(80,1)}
        62:{2,4}:{(42,1),(75,1)}
        63:{2,3,5,7}:{(42,1),(43,1),(45,1),(76,1),(81,1),(82,1),(98,1)}
        64:{1,2,6}:{(43,1),(44,1),(82,1)}
        65:{1,3,6}:{(46,1),(48,1),(72,1),(83,1)}
        66:{1,2,4,7}:{(46,1),(47,1),(73,1),(83,1),(94,1)}
        67:{3,7}:{(48,1),(49,1)}
        68:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(53,1),(77,1),(84,1),(85,1),(99,1)}
        69:{1,5,7}:{(50,1),(52,1),(78,1),(103,1)}
        70:{2,5,7}:{(51,1),(52,1),(79,1),(98,1)}
        71:{4,5,7}:{(52,1),(54,1),(80,1),(99,1),(104,1)}
        72:{1,3,5}:{(55,1),(57,1),(65,1),(86,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(66,1),(87,1),(88,1)}
        74:{2,3,6}:{(56,1),(60,1),(88,1),(90,1)}
        75:{3,4}:{(57,1),(62,1),(86,1)}
        76:{3,5,7}:{(57,1),(58,1),(67,1),(89,1),(90,1),(101,1)}
        77:{1,2,4,6}:{(58,1),(59,1),(60,1),(64,1),(88,1),(90,1),(91,1),(92,1),(100,1),(102,1)}
        78:{1,5,6}:{(59,1),(61,1),(69,1)}
        79:{2,5,6}:{(60,1),(61,1),(70,1)}
        80:{4,5,6}:{(61,1),(71,1),(102,1)}
        81:{2,4,7}:{(62,1),(63,1),(89,1),(92,1)}
        82:{2,3,6}:{(63,1),(64,1),(90,1),(92,1)}
        83:{1,3,7}:{(65,1),(66,1),(67,1)}
        84:{3,6,7}:{(67,1),(68,1),(90,1),(93,1)}
        85:{1,2,5,7}:{(68,1),(69,1),(70,1),(91,1),(93,1)}
        86:{1,4}:{(72,1),(75,1)}
        87:{1,3,5,7}:{(72,1),(73,1),(76,1),(83,1),(94,1),(95,1),(103,1)}
        88:{1,2,6}:{(73,1),(74,1),(95,1)}
        89:{3,4,7}:{(75,1),(76,1),(81,1),(94,1),(96,1),(99,1)}
        90:{3,6}:{(76,1),(77,1)}
        91:{1,2,5,6}:{(77,1),(78,1),(79,1),(85,1),(97,1),(98,1),(103,1)}
        92:{2,4,6}:{(81,1),(82,1),(96,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(97,1),(99,1)}
        94:{1,4,7}:{(86,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(87,1),(88,1),(90,1),(100,1)}
        96:{3,4,6}:{(89,1),(90,1),(92,1),(100,1),(101,1),(102,1)}
        97:{3,5,6}:{(90,1),(91,1),(93,1),(101,1),(102,1)}
        98:{2,5}:{(92,1),(101,1)}
        99:{4,7}:{(93,1),(102,1)}
       100:{1,4,6}:{(94,1),(95,1),(96,1),(103,1)}
       101:{3,5}:{(96,1),(98,1),(103,1),(104,1)}
       102:{4,6}:{(97,1),(99,1),(104,1)}
       103:{1,5}:{(100,1),(101,1)}
       104:{4,5}:{(101,1),(102,1)}

 918 :   0:{1,4,5,6}:{(2,1),(3,1),(18,1),(43,1),(95,1)}
         1:{1,5,6,7}:{(5,1),(7,1),(77,1),(81,1)}
         2:{1,4,5,7}:{(0,1),(7,1),(8,1),(33,1),(35,1),(81,1)}
         3:{3,5,6}:{(0,1),(6,1),(8,1),(10,1)}
         4:{1,3,4,6}:{(12,1),(13,1),(14,1),(18,1),(48,1),(60,1),(99,1),(107,1),(148,1)}
         5:{3,5,6,7}:{(1,1),(15,1),(16,1),(20,1),(53,1),(56,1)}
         6:{3,4,6}:{(3,1),(11,1),(17,1),(18,1),(19,1),(60,1)}
         7:{1,4,6,7}:{(1,1),(2,1),(16,1),(20,1)}
         8:{3,5,7}:{(2,1),(3,1),(17,1),(20,1),(22,1)}
         9:{1,3,5,6}:{(3,1),(12,1),(18,1),(21,1),(23,1),(48,1),(60,1),(95,1),(147,1)}
        10:{2,5,6}:{(3,1),(19,1),(22,1)}
        11:{3,4,5}:{(6,1),(25,1),(26,1),(72,1)}
        12:{1,3,5}:{(4,1),(25,1),(28,1),(72,1),(132,1),(168,1)}
        13:{1,3,4,7}:{(4,1),(27,1),(29,1),(35,1),(84,1),(125,1),(131,1),(189,1)}
        14:{1,2,4,6}:{(4,1),(28,1),(29,1),(30,1),(73,1),(75,1),(126,1)}
        15:{2,5,6,7}:{(5,1),(31,1),(39,1),(82,1)}
        16:{4,6,7}:{(5,1),(33,1)}
        17:{3,4,7}:{(6,1),(8,1),(35,1),(36,1),(84,1)}
        18:{1,4,6}:{(6,1),(9,1),(25,1),(35,1),(167,1)}
        19:{2,4,6}:{(6,1),(10,1),(26,1),(32,1),(36,1)}
        20:{3,6,7}:{(7,1),(8,1),(39,1)}
        21:{1,3,5,7}:{(8,1),(9,1),(35,1),(38,1),(40,1),(81,1),(84,1),(133,1)}
        22:{2,5,7}:{(8,1),(10,1),(36,1),(39,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(28,1),(37,1),(40,1),(41,1),(73,1),(132,1),(173,1)}
        24:{3,4,5,7}:{(11,1),(17,1),(44,1),(45,1),(46,1),(56,1),(98,1),(102,1),(138,1),(155,1),(183,1)}
        25:{1,4,5}:{(11,1),(12,1),(18,1),(183,1)}
        26:{2,4,5}:{(11,1),(19,1),(42,1)}
        27:{1,3,5,7}:{(12,1),(13,1),(45,1),(48,1),(49,1),(98,1),(150,1),(154,1),(176,1)}
        28:{1,2,5}:{(12,1),(14,1),(50,1),(149,1)}
        29:{1,2,4,7}:{(13,1),(14,1),(49,1),(51,1),(101,1),(199,1)}
        30:{2,3,6}:{(14,1),(50,1),(51,1),(60,1)}
        31:{2,4,6,7}:{(15,1),(16,1),(52,1),(53,1)}
        32:{2,3,6}:{(19,1),(42,1),(54,1),(55,1),(60,1)}
        33:{4,5,7}:{(16,1),(43,1),(56,1),(155,1)}
        34:{3,4,6,7}:{(16,1),(17,1),(20,1),(44,1),(53,1),(56,1),(57,1),(58,1),(102,1),(109,1),(155,1)}
        35:{1,4,7}:{(17,1),(18,1),(21,1),(155,1)}
        36:{2,4,7}:{(17,1),(19,1),(22,1),(54,1)}
        37:{1,2,4,6}:{(18,1),(19,1),(23,1),(47,1),(55,1),(59,1),(60,1),(63,1),(107,1)}
        38:{1,3,6,7}:{(20,1),(21,1),(48,1),(57,1),(61,1),(109,1),(150,1)}
        39:{2,6,7}:{(20,1),(22,1)}
        40:{1,2,5,7}:{(21,1),(22,1),(23,1),(59,1),(61,1),(62,1),(154,1)}
        41:{2,3,5,6}:{(23,1),(50,1),(60,1),(62,1),(63,1),(100,1),(111,1),(147,1),(149,1),(157,1),(158,1)}
        42:{2,3,5}:{(26,1),(32,1),(64,1),(67,1),(72,1)}
        43:{4,5,6}:{(33,1),(68,1),(167,1)}
        44:{3,4,6}:{(24,1),(68,1),(69,1),(70,1),(124,1),(167,1)}
        45:{1,4,5,7}:{(24,1),(25,1),(27,1),(35,1),(69,1),(81,1),(127,1),(159,1)}
        46:{2,4,5,7}:{(24,1),(26,1),(36,1),(66,1),(70,1),(82,1),(128,1),(160,1)}
        47:{1,2,4,5}:{(25,1),(26,1),(28,1),(37,1),(67,1),(72,1),(75,1),(88,1),(122,1),(132,1)}
        48:{1,3,6}:{(27,1),(69,1),(73,1),(124,1),(173,1)}
        49:{1,2,5,7}:{(27,1),(28,1),(29,1),(73,1),(74,1),(169,1),(190,1)}
        50:{2,3,5}:{(28,1),(30,1),(72,1),(75,1)}
        51:{2,3,7}:{(29,1),(30,1),(84,1),(206,1)}
        52:{2,4,5,7}:{(31,1),(33,1),(65,1),(76,1),(82,1),(128,1)}
        53:{3,6,7}:{(31,1),(76,1),(77,1)}
        54:{2,3,7}:{(32,1),(36,1),(79,1),(84,1)}
        55:{1,2,6}:{(32,1),(67,1),(79,1),(80,1)}
        56:{3,5,7}:{(33,1),(34,1),(68,1),(81,1),(82,1)}
        57:{1,4,6,7}:{(34,1),(35,1),(38,1),(69,1),(77,1),(81,1),(127,1)}
        58:{2,4,6,7}:{(34,1),(36,1),(39,1),(70,1),(78,1),(82,1),(128,1)}
        59:{1,2,4,7}:{(35,1),(36,1),(37,1),(40,1),(79,1),(84,1),(87,1),(131,1)}
        60:{3,6}:{(37,1),(72,1),(84,1)}
        61:{1,2,6,7}:{(38,1),(39,1),(40,1),(73,1),(86,1),(169,1),(173,1)}
        62:{2,3,5,7}:{(40,1),(41,1),(84,1),(86,1),(87,1),(133,1),(135,1),(136,1)}
        63:{2,4,6}:{(41,1),(75,1),(85,1),(87,1),(88,1),(167,1)}
        64:{2,3,4}:{(42,1),(90,1),(99,1)}
        65:{2,4,5,6}:{(43,1),(52,1),(91,1),(96,1),(143,1)}
        66:{2,3,5,7}:{(42,1),(46,1),(54,1),(89,1),(92,1),(93,1),(98,1),(139,1),(204,1)}
        67:{1,2,5}:{(42,1),(55,1),(90,1),(94,1)}
        68:{3,5,6}:{(43,1),(44,1),(56,1),(95,1),(96,1)}
        69:{1,4,6}:{(44,1),(45,1),(48,1),(95,1)}
        70:{2,4,6}:{(44,1),(46,1),(92,1),(96,1)}
        71:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(49,1),(59,1),(93,1),(97,1),(98,1),(101,1),(108,1),(113,1),(146,1),(149,1),(151,1),(154,1),(155,1),(177,1),(182,1),(183,1),(186,1),(204,1)}
        72:{3,5}:{(47,1),(60,1),(99,1)}
        73:{1,2,6}:{(48,1),(49,1),(100,1)}
        74:{2,3,5,7}:{(49,1),(50,1),(51,1),(98,1),(100,1),(101,1),(149,1),(184,1),(200,1),(204,1)}
        75:{2,4}:{(50,1),(99,1)}
        76:{3,5,7}:{(52,1),(53,1),(91,1),(102,1),(103,1)}
        77:{1,6,7}:{(53,1),(103,1)}
        78:{2,3,6,7}:{(53,1),(54,1),(58,1),(92,1),(104,1),(105,1),(109,1)}
        79:{1,2,7}:{(54,1),(55,1),(106,1)}
        80:{1,3,6}:{(55,1),(60,1),(94,1),(106,1),(107,1)}
        81:{1,5,7}:{(56,1),(57,1),(95,1)}
        82:{2,5,7}:{(56,1),(58,1),(96,1)}
        83:{1,2,4,6,7}:{(57,1),(58,1),(59,1),(61,1),(97,1),(105,1),(108,1),(109,1),(112,1),(151,1),(153,1),(155,1)}
        84:{3,7}:{(59,1),(60,1)}
        85:{3,4,6}:{(60,1),(63,1),(99,1),(107,1),(110,1),(111,1),(157,1)}
        86:{2,3,6,7}:{(61,1),(62,1),(100,1),(109,1),(112,1),(157,1),(184,1)}
        87:{2,4,7}:{(62,1),(63,1),(110,1),(155,1)}
        88:{2,4,5}:{(63,1),(111,1),(149,1),(183,1)}
        89:{2,3,4,7}:{(64,1),(66,1),(114,1),(115,1),(125,1),(128,1),(170,1),(196,1)}
        90:{1,2,4}:{(64,1),(67,1),(116,1),(122,1)}
        91:{3,5,6}:{(65,1),(76,1),(117,1),(118,1)}
        92:{2,3,6}:{(66,1),(70,1),(120,1),(124,1),(209,1)}
        93:{1,2,5,7}:{(66,1),(67,1),(79,1),(115,1),(120,1),(121,1),(161,1)}
        94:{1,3,5}:{(67,1),(72,1),(80,1),(116,1),(122,1),(132,1)}
        95:{1,5,6}:{(68,1),(69,1),(81,1)}
        96:{2,5,6}:{(68,1),(70,1),(82,1)}
        97:{1,2,4,6}:{(69,1),(70,1),(71,1),(73,1),(120,1),(123,1),(124,1),(126,1),(137,1),(166,1),(167,1),(173,1),(198,1),(209,1)}
        98:{3,5,7}:{(71,1),(72,1),(84,1),(124,1),(125,1),(168,1),(170,1),(191,1)}
        99:{3,4}:{(72,1),(75,1),(122,1)}
       100:{2,3,6}:{(73,1),(74,1),(124,1),(126,1),(209,1)}
       101:{2,4,7}:{(74,1),(75,1),(125,1),(126,1),(207,1)}
       102:{3,4,7}:{(76,1),(117,1),(127,1),(128,1),(170,1)}
       103:{1,5,7}:{(76,1),(77,1),(118,1),(127,1)}
       104:{2,3,5,7}:{(76,1),(78,1),(82,1),(119,1),(128,1),(129,1),(133,1),(170,1)}
       105:{1,2,6,7}:{(77,1),(78,1),(79,1),(120,1),(129,1),(130,1),(209,1)}
       106:{1,3,7}:{(79,1),(80,1),(84,1),(131,1)}
       107:{1,4,6}:{(80,1),(85,1),(122,1),(131,1),(132,1),(173,1)}
       108:{1,2,5,7}:{(81,1),(82,1),(83,1),(123,1),(133,1),(136,1),(172,1)}
       109:{3,6,7}:{(83,1),(84,1),(124,1),(133,1),(170,1)}
       110:{3,4,7}:{(84,1),(85,1),(87,1),(131,1),(135,1)}
       111:{3,5}:{(85,1),(88,1),(132,1)}
       112:{2,4,6,7}:{(86,1),(87,1),(126,1),(134,1),(136,1),(137,1),(196,1),(209,1)}
       113:{2,4,5,7}:{(87,1),(88,1),(135,1),(136,1),(137,1),(174,1)}
       114:{2,3,4,6}:{(89,1),(92,1),(139,1),(140,1),(143,1),(148,1),(180,1),(201,1),(202,1)}
       115:{1,2,4,7}:{(89,1),(90,1),(93,1),(140,1),(141,1),(146,1)}
       116:{1,3}:{(90,1)}
       117:{3,4,6}:{(91,1),(102,1),(138,1),(142,1),(143,1),(180,1)}
       118:{1,5,6}:{(91,1),(103,1),(142,1)}
       119:{2,3,5,6}:{(91,1),(92,1),(96,1),(104,1),(139,1),(143,1),(144,1),(147,1),(180,1)}
       120:{1,2,6}:{(92,1),(93,1),(145,1)}
       121:{1,3,5,7}:{(93,1),(94,1),(98,1),(106,1),(141,1),(145,1),(146,1),(154,1),(178,1),(182,1)}
       122:{1,4}:{(94,1),(99,1)}
       123:{1,2,5,6}:{(95,1),(96,1),(97,1),(108,1),(147,1),(149,1),(158,1),(182,1),(187,1)}
       124:{3,6}:{(97,1),(98,1)}
       125:{3,4,7}:{(98,1),(99,1),(101,1),(146,1),(148,1),(155,1),(201,1)}
       126:{2,4,6}:{(100,1),(101,1),(148,1),(149,1)}
       127:{1,4,7}:{(102,1),(103,1),(142,1),(150,1)}
       128:{2,4,7}:{(102,1),(104,1),(143,1),(155,1)}
       129:{1,2,5,7}:{(103,1),(104,1),(105,1),(144,1),(151,1),(152,1),(204,1)}
       130:{1,3,6,7}:{(105,1),(106,1),(109,1),(145,1),(152,1),(153,1),(205,1)}
       131:{1,4,7}:{(106,1),(107,1),(110,1),(154,1)}
       132:{1,5}:{(107,1),(111,1)}
       133:{3,5,7}:{(108,1),(109,1),(147,1),(155,1)}
       134:{3,4,6,7}:{(109,1),(110,1),(112,1),(148,1),(153,1),(155,1),(156,1),(157,1),(185,1),(188,1),(205,1)}
       135:{3,5,7}:{(110,1),(111,1),(113,1),(154,1),(157,1)}
       136:{2,5,7}:{(112,1),(149,1),(156,1),(158,1)}
       137:{2,4,6}:{(113,1),(157,1),(158,1),(188,1)}
       138:{3,4,5}:{(117,1),(159,1),(160,1),(191,1)}
       139:{2,3,5}:{(114,1),(160,1),(161,1),(168,1),(191,1),(208,1)}
       140:{1,2,4,6}:{(114,1),(115,1),(120,1),(161,1),(162,1),(166,1),(192,1)}
       141:{1,3,7}:{(115,1),(116,1),(162,1),(170,1)}
       142:{1,4,6}:{(117,1),(118,1),(127,1),(159,1),(163,1)}
       143:{2,4,6}:{(117,1),(119,1),(128,1),(160,1),(167,1)}
       144:{1,2,5,6}:{(118,1),(119,1),(120,1),(129,1),(161,1),(164,1),(165,1),(208,1),(209,1)}
       145:{1,3,6}:{(120,1),(121,1),(124,1),(166,1),(173,1)}
       146:{1,4,7}:{(121,1),(122,1),(125,1),(166,1),(192,1)}
       147:{3,5,6}:{(123,1),(124,1),(133,1),(167,1),(168,1)}
       148:{3,4,6}:{(124,1),(125,1),(126,1),(166,1),(167,1),(168,1)}
       149:{2,5}:{(126,1),(168,1)}
       150:{1,3,7}:{(127,1),(163,1),(169,1),(170,1)}
       151:{1,2,4,7}:{(127,1),(128,1),(129,1),(164,1),(169,1),(170,1),(171,1),(196,1)}
       152:{1,3,5,7}:{(129,1),(130,1),(133,1),(165,1),(170,1),(171,1),(172,1),(197,1)}
       153:{1,4,6,7}:{(130,1),(131,1),(134,1),(166,1),(171,1),(172,1),(173,1),(198,1)}
       154:{1,5,7}:{(131,1),(132,1),(135,1),(173,1)}
       155:{4,7}:{(133,1),(167,1)}
       156:{3,5,7}:{(134,1),(136,1),(168,1),(172,1),(174,1),(175,1)}
       157:{3,6}:{(135,1),(137,1),(173,1)}
       158:{2,5,6}:{(136,1),(137,1),(175,1),(209,1)}
       159:{1,4,5}:{(138,1),(142,1),(176,1)}
       160:{2,4,5}:{(138,1),(139,1),(143,1),(183,1)}
       161:{1,2,5}:{(139,1),(140,1),(178,1),(182,1)}
       162:{1,3,6}:{(140,1),(141,1),(178,1),(180,1)}
       163:{1,3,6}:{(142,1),(150,1),(176,1),(179,1),(180,1)}
       164:{1,2,4,6}:{(142,1),(143,1),(144,1),(151,1),(177,1),(179,1),(180,1),(181,1),(202,1)}
       165:{1,3,5,6}:{(144,1),(145,1),(147,1),(152,1),(178,1),(180,1),(181,1),(182,1),(187,1),(203,1),(205,1)}
       166:{1,4,6}:{(145,1),(146,1),(148,1),(182,1)}
       167:{4,6}:{(147,1),(155,1),(183,1)}
       168:{3,5}:{(148,1),(149,1),(182,1),(183,1)}
       169:{1,2,7}:{(150,1),(179,1),(184,1)}
       170:{3,7}:{(151,1),(180,1)}
       171:{1,4,7}:{(152,1),(155,1),(181,1),(185,1)}
       172:{1,5,7}:{(153,1),(156,1),(182,1),(187,1)}
       173:{1,6}:{(154,1),(157,1)}
       174:{4,5,7}:{(155,1),(156,1),(183,1),(188,1)}
       175:{3,5,6}:{(156,1),(157,1),(158,1),(187,1),(188,1),(205,1)}
       176:{1,3,5}:{(159,1),(163,1),(189,1),(190,1),(191,1)}
       177:{1,2,4,5}:{(159,1),(160,1),(161,1),(164,1),(190,1),(191,1),(192,1),(195,1),(207,1),(208,1)}
       178:{1,3,5}:{(161,1),(162,1),(191,1),(192,1)}
       179:{1,2,6}:{(163,1),(169,1),(190,1),(193,1)}
       180:{3,6}:{(164,1),(170,1),(191,1)}
       181:{1,4,6}:{(165,1),(167,1),(171,1),(192,1),(194,1),(195,1)}
       182:{1,5}:{(166,1),(168,1)}
       183:{4,5}:{(167,1),(168,1)}
       184:{2,3,7}:{(169,1),(170,1),(193,1),(196,1)}
       185:{3,4,7}:{(170,1),(171,1),(194,1),(196,1),(197,1)}
       186:{1,4,5,7}:{(171,1),(172,1),(174,1),(195,1),(197,1),(198,1)}
       187:{1,5,6}:{(172,1),(173,1),(175,1),(198,1)}
       188:{4,6}:{(174,1),(175,1)}
       189:{1,3,4}:{(176,1),(199,1),(201,1)}
       190:{1,2,5}:{(176,1),(179,1),(199,1),(200,1)}
       191:{3,5}:{(177,1),(180,1),(201,1)}
       192:{1,4}:{(178,1),(201,1)}
       193:{2,3,6}:{(179,1),(180,1),(184,1),(200,1),(202,1)}
       194:{3,4,6}:{(180,1),(181,1),(185,1),(201,1),(202,1),(203,1),(205,1)}
       195:{1,4,5}:{(181,1),(182,1),(183,1),(203,1)}
       196:{2,4,7}:{(184,1),(185,1),(202,1),(204,1)}
       197:{3,5,7}:{(185,1),(186,1),(203,1),(204,1),(205,1)}
       198:{1,4,6}:{(186,1),(187,1),(188,1),(205,1)}
       199:{1,2,4}:{(189,1),(190,1),(206,1),(207,1)}
       200:{2,3,5}:{(190,1),(191,1),(193,1),(206,1),(207,1),(208,1)}
       201:{3,4}:{(191,1),(192,1),(207,1)}
       202:{2,4,6}:{(193,1),(194,1),(196,1),(207,1),(208,1),(209,1)}
       203:{3,5}:{(194,1),(195,1),(208,1)}
       204:{2,5,7}:{(196,1),(197,1),(208,1),(209,1)}
       205:{3,6}:{(197,1),(198,1),(209,1)}
       206:{2,3}:{(199,1)}
       207:{2,4}:{(200,1),(201,1)}
       208:{2,5}:{(202,1),(203,1)}
       209:{2,6}:{(204,1),(205,1)}

 919 :   0:{2,3,4,5,7}:{(1,1),(2,1),(9,1),(25,1),(64,1),(77,1),(82,1),(115,1),(121,1),(135,1)}
         1:{1,2,4,5,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(46,1),(53,1),(58,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(59,1),(142,1),(149,1),(162,1)}
         3:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(31,1),(73,1),(77,1),(131,1)}
         4:{1,3,5,7}:{(1,1),(10,1),(11,1),(37,1),(121,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(38,1)}
         6:{2,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(39,1),(64,1),(184,1)}
         7:{1,2,3,5,7}:{(4,1),(14,1),(15,1),(41,1),(46,1)}
         8:{1,2,4,6,7}:{(3,1),(5,1),(17,1),(18,1),(53,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(18,1),(19,1),(54,1),(160,1)}
        10:{1,3,4,7}:{(4,1),(14,1),(21,1),(53,1),(92,1)}
        11:{1,3,6}:{(4,1),(5,1),(149,1)}
        12:{1,2,5,6}:{(5,1),(6,1),(18,1),(22,1),(46,1)}
        13:{2,4,5,6}:{(6,1),(19,1),(24,1),(89,1),(142,1)}
        14:{1,2,4,7}:{(7,1),(10,1),(25,1),(28,1)}
        15:{1,2,3,6}:{(7,1),(11,1),(28,1),(63,1)}
        16:{2,3,5,6,7}:{(9,1),(30,1),(31,1),(71,1),(73,1),(114,1)}
        17:{1,3,6,7}:{(8,1),(11,1),(33,1),(73,1)}
        18:{1,2,5,7}:{(8,1),(9,1),(12,1),(33,1)}
        19:{2,4,5,7}:{(9,1),(13,1),(31,1),(35,1)}
        20:{1,3,4,5,7}:{(10,1),(27,1),(36,1),(37,1),(76,1),(80,1),(118,1),(121,1),(169,1),(170,1)}
        21:{1,3,4,6}:{(10,1),(11,1),(28,1),(37,1),(38,1),(70,1)}
        22:{1,3,5,6}:{(11,1),(12,1),(33,1),(37,1),(38,1),(39,1)}
        23:{1,2,4,5,6}:{(12,1),(13,1),(34,1),(38,1),(39,1),(40,1),(69,1),(84,1),(85,1),(120,1),(129,1),(184,1)}
        24:{3,4,5,6}:{(13,1),(35,1),(39,1),(40,1),(118,1),(168,1)}
        25:{2,3,4,7}:{(14,1),(41,1),(42,1),(92,1),(144,1)}
        26:{1,2,3,6,7}:{(15,1),(17,1),(43,1),(44,1),(87,1),(102,1),(149,1),(195,1),(197,1)}
        27:{1,2,4,5,7}:{(14,1),(20,1),(41,1),(45,1),(46,1),(89,1),(93,1),(144,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(21,1),(42,1),(46,1)}
        29:{1,2,3,5,6}:{(15,1),(22,1),(44,1),(46,1),(47,1),(61,1),(88,1),(90,1),(95,1),(149,1),(154,1),(156,1),(157,1),(197,1)}
        30:{1,2,5,6,7}:{(16,1),(18,1),(49,1),(50,1),(90,1),(98,1),(160,1)}
        31:{2,4,6,7}:{(16,1),(19,1),(51,1),(142,1)}
        32:{1,3,4,6,7}:{(17,1),(21,1),(43,1),(52,1),(53,1),(92,1),(100,1),(104,1),(149,1)}
        33:{1,3,5,7}:{(17,1),(18,1),(22,1),(53,1),(54,1)}
        34:{1,2,4,5,7}:{(18,1),(19,1),(23,1),(50,1),(53,1),(54,1),(55,1),(99,1),(107,1),(108,1),(160,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(51,1),(54,1),(55,1)}
        36:{1,3,4,6}:{(20,1),(45,1),(57,1),(104,1),(145,1),(149,1),(190,1)}
        37:{1,3,5}:{(21,1),(46,1),(58,1),(95,1)}
        38:{1,4,6}:{(22,1),(53,1),(58,1),(59,1)}
        39:{3,5,6}:{(23,1),(54,1),(59,1),(95,1),(149,1)}
        40:{1,4,5,6}:{(24,1),(55,1),(60,1),(146,1),(190,1)}
        41:{2,3,5,7}:{(25,1),(27,1),(63,1),(64,1),(121,1)}
        42:{2,3,4,6}:{(25,1),(28,1),(63,1),(64,1),(70,1),(117,1)}
        43:{1,2,4,6,7}:{(26,1),(28,1),(32,1),(62,1),(65,1),(66,1),(120,1),(131,1),(203,1)}
        44:{1,2,3,5,7}:{(26,1),(29,1),(33,1),(65,1),(66,1),(79,1),(116,1),(121,1),(177,1),(178,1),(179,1)}
        45:{1,2,4,6}:{(27,1),(36,1),(63,1),(68,1),(117,1)}
        46:{1,2,5}:{(28,1),(37,1),(64,1)}
        47:{1,2,4,6}:{(29,1),(38,1),(66,1),(69,1),(70,1),(84,1),(117,1),(171,1)}
        48:{2,4,5,6,7}:{(31,1),(71,1),(166,1)}
        49:{1,3,5,6,7}:{(30,1),(33,1),(72,1),(73,1),(75,1),(130,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(34,1),(72,1),(73,1),(74,1),(120,1),(131,1),(132,1)}
        51:{3,4,6,7}:{(31,1),(35,1),(71,1),(73,1),(74,1),(168,1)}
        52:{1,3,5,7}:{(32,1),(37,1),(65,1),(75,1),(76,1),(121,1),(130,1)}
        53:{1,4,7}:{(33,1),(38,1),(77,1)}
        54:{3,5,7}:{(34,1),(39,1),(73,1),(77,1)}
        55:{1,4,5,7}:{(35,1),(40,1),(74,1),(78,1)}
        56:{1,3,4,6,7}:{(36,1),(67,1),(80,1),(133,1),(170,1),(174,1),(203,1)}
        57:{1,3,5,6}:{(36,1),(37,1),(68,1),(80,1),(81,1),(125,1),(202,1)}
        58:{1,4,5}:{(37,1),(38,1),(82,1)}
        59:{3,4,6}:{(38,1),(39,1),(77,1),(82,1),(84,1)}
        60:{1,3,5,6}:{(39,1),(40,1),(78,1),(83,1),(85,1),(126,1),(175,1)}
        61:{2,3,5,6}:{(39,1),(79,1),(84,1),(85,1),(127,1),(140,1),(176,1),(184,1)}
        62:{2,3,4,6,7}:{(42,1),(43,1),(86,1),(87,1),(92,1),(142,1),(144,1),(149,1),(189,1)}
        63:{2,3,6}:{(41,1),(45,1),(149,1)}
        64:{2,3,5}:{(42,1),(46,1),(89,1),(95,1)}
        65:{1,2,5,7}:{(43,1),(46,1),(52,1),(86,1),(90,1),(160,1),(208,1)}
        66:{1,2,4,7}:{(44,1),(47,1),(53,1),(92,1),(107,1),(144,1),(191,1)}
        67:{1,2,4,6,7}:{(45,1),(56,1),(87,1),(93,1),(144,1)}
        68:{1,2,5,6}:{(45,1),(46,1),(57,1),(88,1),(93,1)}
        69:{1,2,4,5}:{(46,1),(47,1),(58,1),(89,1),(95,1),(112,1),(146,1),(156,1)}
        70:{3,4,6}:{(47,1),(92,1),(95,1),(149,1)}
        71:{3,5,6,7}:{(48,1),(51,1),(98,1),(188,1)}
        72:{1,4,6,7}:{(49,1),(53,1),(99,1),(100,1),(104,1)}
        73:{3,6,7}:{(50,1),(54,1),(149,1)}
        74:{1,4,6,7}:{(51,1),(55,1),(98,1),(101,1),(190,1)}
        75:{1,3,5,6}:{(52,1),(90,1),(104,1),(149,1),(159,1)}
        76:{1,4,5,7}:{(52,1),(53,1),(58,1),(104,1),(105,1)}
        77:{3,4,7}:{(53,1),(54,1),(59,1),(107,1)}
        78:{1,3,5,7}:{(54,1),(55,1),(60,1),(101,1),(106,1),(108,1)}
        79:{2,3,5,7}:{(54,1),(61,1),(102,1),(107,1),(108,1),(160,1),(163,1)}
        80:{1,3,5,7}:{(56,1),(57,1),(93,1),(109,1),(153,1),(208,1)}
        81:{1,4,5,6}:{(57,1),(58,1),(104,1),(109,1),(110,1)}
        82:{3,4,5}:{(58,1),(59,1),(95,1),(112,1)}
        83:{1,3,4,6}:{(59,1),(60,1),(106,1),(111,1),(113,1)}
        84:{2,4,6}:{(59,1),(61,1),(107,1),(112,1)}
        85:{1,2,5,6}:{(60,1),(61,1),(108,1),(113,1),(156,1),(197,1)}
        86:{2,3,5,7}:{(62,1),(64,1),(65,1),(114,1),(115,1),(121,1),(201,1)}
        87:{2,3,6,7}:{(63,1),(67,1),(116,1),(174,1)}
        88:{2,3,5,6}:{(63,1),(64,1),(68,1),(116,1),(117,1),(125,1)}
        89:{2,4,5}:{(64,1),(117,1),(118,1)}
        90:{1,2,5,6}:{(65,1),(75,1),(114,1),(120,1),(184,1),(202,1)}
        91:{1,2,4,5,7}:{(65,1),(66,1),(69,1),(76,1),(115,1),(120,1),(121,1),(135,1),(169,1),(177,1)}
        92:{3,4,7}:{(66,1),(70,1),(121,1)}
        93:{1,2,5,7}:{(67,1),(68,1),(80,1),(116,1)}
        94:{1,2,4,5,6}:{(68,1),(69,1),(81,1),(117,1),(120,1),(124,1),(125,1),(138,1),(166,1),(171,1),(181,1),(202,1)}
        95:{3,5}:{(69,1),(70,1)}
        96:{1,3,4,6}:{(70,1),(122,1),(126,1),(128,1),(171,1),(175,1),(205,1),(206,1)}
        97:{2,3,4,6}:{(70,1),(84,1),(123,1),(127,1),(128,1),(140,1),(176,1),(186,1)}
        98:{1,5,6,7}:{(71,1),(74,1),(202,1)}
        99:{1,4,5,7}:{(72,1),(129,1),(130,1)}
       100:{3,4,6,7}:{(72,1),(73,1),(77,1),(130,1),(131,1),(134,1)}
       101:{1,3,6,7}:{(73,1),(74,1),(78,1),(132,1),(175,1)}
       102:{2,3,6,7}:{(73,1),(79,1),(131,1),(132,1),(176,1)}
       103:{1,3,5,6,7}:{(75,1),(80,1),(119,1),(133,1),(174,1),(183,1)}
       104:{1,4,6}:{(75,1),(76,1),(134,1)}
       105:{3,4,5,7}:{(76,1),(77,1),(82,1),(121,1),(130,1),(134,1),(135,1)}
       106:{1,3,4,7}:{(77,1),(78,1),(83,1),(136,1)}
       107:{2,4,7}:{(77,1),(79,1),(84,1)}
       108:{1,2,5,7}:{(78,1),(79,1),(85,1),(132,1),(136,1)}
       109:{1,4,5,7}:{(80,1),(81,1),(133,1),(137,1)}
       110:{3,4,5,6}:{(81,1),(82,1),(125,1),(134,1),(137,1),(138,1)}
       111:{1,3,4,5}:{(82,1),(83,1),(126,1),(139,1),(206,1)}
       112:{2,4,5}:{(82,1),(84,1),(127,1)}
       113:{1,2,4,6}:{(83,1),(84,1),(85,1),(136,1),(139,1),(140,1)}
       114:{2,3,5,6}:{(86,1),(90,1),(142,1),(149,1),(188,1)}
       115:{2,4,5,7}:{(86,1),(89,1),(142,1),(143,1),(144,1)}
       116:{2,3,5,7}:{(87,1),(88,1),(93,1),(144,1),(153,1)}
       117:{2,4,6}:{(88,1),(89,1),(144,1),(145,1)}
       118:{3,4,5}:{(89,1),(95,1),(145,1),(146,1)}
       119:{1,2,5,6,7}:{(90,1),(93,1),(103,1),(141,1),(148,1),(200,1),(208,1)}
       120:{1,2,4,6}:{(90,1),(91,1),(104,1),(142,1),(149,1),(162,1),(190,1),(197,1)}
       121:{3,5,7}:{(91,1),(92,1),(95,1),(149,1)}
       122:{1,3,4,7}:{(92,1),(96,1),(150,1),(152,1),(191,1),(209,1)}
       123:{2,3,4,7}:{(92,1),(97,1),(107,1),(151,1),(152,1),(163,1)}
       124:{1,2,4,5,7}:{(93,1),(94,1),(109,1),(144,1),(148,1),(153,1),(164,1),(187,1),(191,1),(198,1),(208,1)}
       125:{3,5,6}:{(94,1),(95,1),(145,1),(149,1),(153,1)}
       126:{1,3,5}:{(95,1),(96,1),(146,1),(156,1)}
       127:{2,3,5}:{(95,1),(97,1),(112,1),(156,1)}
       128:{1,2,4,6}:{(96,1),(97,1),(152,1),(156,1),(157,1),(197,1),(199,1)}
       129:{1,4,5,6}:{(99,1),(104,1),(159,1)}
       130:{3,5,7}:{(99,1),(100,1),(159,1),(160,1)}
       131:{2,4,6,7}:{(100,1),(102,1),(107,1),(160,1),(162,1)}
       132:{1,2,6,7}:{(101,1),(102,1),(108,1),(197,1)}
       133:{1,4,6,7}:{(103,1),(104,1),(109,1),(161,1)}
       134:{3,4,6}:{(104,1),(105,1),(149,1),(159,1),(162,1)}
       135:{2,4,5,7}:{(105,1),(107,1),(112,1),(151,1),(160,1),(162,1)}
       136:{1,2,4,7}:{(106,1),(107,1),(108,1),(113,1),(163,1)}
       137:{3,4,5,7}:{(109,1),(110,1),(153,1),(161,1),(164,1)}
       138:{2,4,5,6}:{(110,1),(112,1),(155,1),(162,1),(164,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(113,1),(156,1),(165,1),(199,1)}
       140:{2,3,6}:{(113,1),(163,1),(165,1)}
       141:{2,3,5,6,7}:{(114,1),(116,1),(119,1),(167,1),(174,1),(201,1)}
       142:{2,4,6}:{(114,1),(115,1),(168,1)}
       143:{3,4,5,7}:{(115,1),(118,1),(121,1),(168,1),(169,1),(170,1),(201,1)}
       144:{2,4,7}:{(116,1),(117,1),(170,1)}
       145:{3,4,6}:{(117,1),(118,1),(125,1),(170,1),(171,1)}
       146:{1,4,5}:{(118,1),(126,1),(171,1)}
       147:{2,3,4,5}:{(118,1),(127,1),(172,1),(173,1),(186,1)}
       148:{1,2,4,6,7}:{(119,1),(120,1),(124,1),(133,1),(167,1),(174,1),(185,1),(203,1),(207,1)}
       149:{3,6}:{(120,1),(121,1)}
       150:{1,3,5,7}:{(121,1),(122,1),(126,1),(169,1),(175,1),(177,1)}
       151:{2,3,5,7}:{(121,1),(123,1),(127,1),(135,1),(176,1),(177,1)}
       152:{1,2,4,7}:{(122,1),(123,1),(128,1),(177,1),(178,1)}
       153:{3,5,7}:{(124,1),(125,1),(170,1),(174,1)}
       154:{1,3,5,6}:{(125,1),(126,1),(171,1),(175,1),(179,1),(181,1),(202,1),(205,1)}
       155:{2,3,5,6}:{(125,1),(127,1),(138,1),(172,1),(176,1),(180,1),(181,1)}
       156:{1,2,5}:{(126,1),(127,1),(128,1)}
       157:{1,2,3,6}:{(128,1),(140,1),(178,1),(182,1),(205,1)}
       158:{1,4,5,6,7}:{(129,1),(133,1),(183,1)}
       159:{3,5,6}:{(129,1),(130,1),(134,1),(184,1)}
       160:{2,5,7}:{(130,1),(131,1),(184,1)}
       161:{3,4,6,7}:{(133,1),(134,1),(137,1),(174,1),(183,1),(185,1)}
       162:{2,4,6}:{(134,1),(135,1),(176,1),(184,1)}
       163:{2,3,7}:{(136,1),(140,1)}
       164:{2,4,5,7}:{(137,1),(138,1),(180,1),(185,1)}
       165:{2,3,5}:{(139,1),(140,1),(186,1)}
       166:{2,4,5,6}:{(142,1),(187,1),(188,1)}
       167:{2,4,6,7}:{(141,1),(142,1),(144,1),(187,1),(189,1)}
       168:{3,4,6}:{(142,1),(143,1),(149,1),(188,1),(190,1)}
       169:{1,4,5,7}:{(143,1),(146,1),(150,1),(190,1),(191,1),(208,1)}
       170:{3,4,7}:{(144,1),(145,1),(153,1),(191,1)}
       171:{1,4,6}:{(145,1),(146,1),(154,1),(191,1)}
       172:{2,3,4,6}:{(145,1),(147,1),(155,1),(192,1),(193,1)}
       173:{1,2,4,5}:{(146,1),(147,1),(156,1),(193,1),(194,1),(199,1)}
       174:{3,6,7}:{(148,1),(149,1),(153,1)}
       175:{1,3,6}:{(149,1),(150,1),(190,1),(197,1)}
       176:{2,3,6}:{(149,1),(151,1),(162,1),(197,1)}
       177:{1,2,5,7}:{(150,1),(151,1),(152,1),(156,1),(197,1)}
       178:{1,2,3,7}:{(152,1),(157,1),(163,1),(209,1)}
       179:{1,3,5,7}:{(153,1),(154,1),(191,1),(195,1),(198,1),(208,1),(209,1)}
       180:{2,3,5,7}:{(153,1),(155,1),(164,1),(192,1),(196,1),(198,1)}
       181:{1,2,5,6}:{(154,1),(155,1),(156,1),(193,1),(197,1),(198,1)}
       182:{1,2,3,5}:{(156,1),(157,1),(165,1),(194,1),(199,1)}
       183:{3,5,6,7}:{(158,1),(159,1),(161,1),(200,1)}
       184:{2,5,6}:{(159,1),(160,1),(162,1)}
       185:{2,4,6,7}:{(161,1),(162,1),(164,1),(196,1),(200,1)}
       186:{2,3,4}:{(165,1),(199,1)}
       187:{2,4,5,7}:{(166,1),(167,1),(201,1)}
       188:{3,5,6}:{(166,1),(168,1),(201,1),(202,1)}
       189:{3,4,6,7}:{(167,1),(168,1),(170,1),(174,1),(201,1),(203,1)}
       190:{1,4,6}:{(168,1),(169,1),(175,1),(202,1)}
       191:{1,4,7}:{(170,1),(171,1),(179,1)}
       192:{2,3,4,7}:{(170,1),(172,1),(180,1),(204,1)}
       193:{1,2,4,6}:{(171,1),(172,1),(173,1),(181,1),(204,1),(205,1)}
       194:{1,3,5}:{(173,1),(205,1),(206,1)}
       195:{1,3,6,7}:{(174,1),(175,1),(179,1),(203,1),(207,1)}
       196:{2,3,6,7}:{(174,1),(176,1),(180,1),(185,1),(207,1)}
       197:{1,2,6}:{(175,1),(176,1),(177,1)}
       198:{1,2,5,7}:{(179,1),(180,1),(181,1),(204,1),(207,1)}
       199:{1,2,4}:{(182,1),(186,1),(206,1)}
       200:{2,5,6,7}:{(183,1),(184,1),(185,1)}
       201:{3,5,7}:{(187,1),(188,1),(189,1),(208,1)}
       202:{1,5,6}:{(188,1),(190,1),(208,1)}
       203:{1,4,6,7}:{(189,1),(190,1),(191,1),(195,1),(208,1)}
       204:{1,2,4,7}:{(191,1),(192,1),(193,1),(198,1),(209,1)}
       205:{1,3,6}:{(193,1),(194,1),(209,1)}
       206:{1,3,4}:{(194,1),(199,1)}
       207:{1,2,6,7}:{(195,1),(196,1),(197,1),(198,1)}
       208:{1,5,7}:{(201,1),(202,1),(203,1)}
       209:{1,3,7}:{(204,1),(205,1)}

 920 :   0:{2,3,4,5}:{(1,1),(2,1),(31,1),(76,1),(93,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(67,1)}
         2:{1,2,4,5}:{(0,1),(6,1),(7,1),(18,1),(58,1),(70,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(11,1),(43,1),(128,1),(186,1),(202,1)}
         4:{2,3,5,6}:{(1,1),(11,1),(12,1),(13,1),(43,1),(76,1),(131,1)}
         5:{2,3,4,7}:{(1,1),(12,1),(14,1),(92,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(13,1),(14,1),(15,1),(46,1)}
         7:{1,3,5}:{(2,1),(15,1),(16,1)}
         8:{1,2,3,5}:{(7,1),(17,1),(18,1),(52,1),(58,1)}
         9:{3,4,5,7}:{(3,1),(21,1),(22,1),(23,1),(66,1),(177,1)}
        10:{1,4,5,6}:{(3,1),(19,1),(22,1),(157,1),(207,1)}
        11:{2,4,5,6}:{(3,1),(4,1),(23,1),(100,1),(160,1)}
        12:{2,3,5,7}:{(4,1),(5,1),(23,1),(25,1),(26,1),(66,1)}
        13:{1,2,5,6}:{(4,1),(6,1),(26,1),(27,1),(58,1),(113,1)}
        14:{1,2,4,7}:{(5,1),(6,1),(26,1),(28,1),(69,1)}
        15:{1,3,6}:{(6,1),(7,1),(28,1)}
        16:{1,3,4}:{(7,1),(18,1)}
        17:{1,2,3,6}:{(8,1),(15,1),(34,1),(35,1),(77,1)}
        18:{1,2,4}:{(8,1),(16,1),(31,1)}
        19:{1,3,5,6}:{(10,1),(32,1),(37,1),(38,1),(43,1),(138,1),(194,1)}
        20:{4,5,6,7}:{(39,1),(149,1),(224,1)}
        21:{3,4,6,7}:{(9,1),(39,1),(40,1),(41,1),(91,1),(149,1),(186,1)}
        22:{1,4,5,7}:{(9,1),(10,1),(37,1),(40,1)}
        23:{2,4,5,7}:{(9,1),(11,1),(12,1),(41,1)}
        24:{1,2,4,5,6}:{(10,1),(11,1),(13,1),(38,1),(42,1),(43,1),(46,1),(83,1),(89,1),(143,1),(153,1),(200,1),(202,1)}
        25:{2,3,6,7}:{(12,1),(41,1),(44,1),(91,1),(131,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(14,1),(44,1),(45,1)}
        27:{1,3,5,6}:{(13,1),(15,1),(43,1),(45,1),(46,1),(48,1),(97,1),(153,1)}
        28:{1,3,7}:{(14,1),(15,1)}
        29:{1,3,4,6}:{(15,1),(16,1),(35,1),(46,1),(47,1),(48,1),(80,1),(97,1)}
        30:{1,3,4,5}:{(16,1),(36,1),(48,1),(49,1),(128,1)}
        31:{2,3,4}:{(18,1),(52,1)}
        32:{1,3,4,6}:{(19,1),(50,1),(53,1),(54,1),(67,1)}
        33:{1,2,3,5,6}:{(17,1),(27,1),(55,1),(56,1),(58,1),(62,1),(102,1),(104,1),(109,1),(113,1),(164,1),(168,1),(170,1),(172,1),(212,1)}
        34:{1,2,3,7}:{(17,1),(28,1),(57,1),(103,1)}
        35:{1,2,4,6}:{(17,1),(18,1),(29,1),(51,1),(57,1),(58,1),(113,1)}
        36:{1,2,4,5}:{(18,1),(30,1),(52,1),(58,1),(59,1),(100,1)}
        37:{1,3,5,7}:{(19,1),(22,1),(53,1),(60,1),(61,1),(66,1)}
        38:{1,2,5,6}:{(19,1),(54,1),(61,1),(62,1),(164,1),(212,1)}
        39:{3,5,6,7}:{(20,1),(21,1),(63,1),(64,1),(209,1)}
        40:{1,4,6,7}:{(21,1),(22,1),(60,1),(63,1),(207,1)}
        41:{2,4,6,7}:{(21,1),(23,1),(25,1),(64,1),(160,1)}
        42:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(26,1),(61,1),(65,1),(66,1),(69,1),(116,1),(122,1),(174,1),(177,1)}
        43:{3,5,6}:{(24,1),(66,1),(67,1),(109,1),(170,1)}
        44:{1,2,6,7}:{(25,1),(26,1),(68,1),(113,1)}
        45:{1,3,5,7}:{(26,1),(27,1),(28,1),(66,1),(68,1),(69,1),(122,1)}
        46:{1,4,6}:{(27,1),(67,1),(69,1),(70,1)}
        47:{1,3,4,7}:{(28,1),(29,1),(57,1),(69,1),(71,1),(108,1)}
        48:{1,3,5}:{(29,1),(58,1),(70,1),(109,1)}
        49:{1,3,4,6}:{(30,1),(59,1),(72,1),(73,1),(159,1)}
        50:{1,3,4,5}:{(32,1),(74,1),(93,1),(138,1),(181,1)}
        51:{2,3,4,6}:{(31,1),(35,1),(75,1),(76,1),(77,1),(80,1),(130,1),(131,1)}
        52:{2,3,5}:{(31,1),(36,1),(77,1)}
        53:{1,3,4,7}:{(32,1),(37,1),(78,1),(92,1)}
        54:{1,2,4,6}:{(32,1),(38,1),(74,1),(78,1),(79,1),(89,1)}
        55:{1,2,3,5,7}:{(33,1),(34,1),(45,1),(81,1),(82,1),(84,1),(88,1),(132,1),(133,1),(140,1),(142,1),(190,1),(195,1)}
        56:{1,2,4,6}:{(33,1),(46,1),(80,1),(82,1),(83,1),(89,1),(130,1),(185,1)}
        57:{1,2,4,7}:{(34,1),(35,1),(47,1),(75,1),(84,1)}
        58:{1,2,5}:{(35,1),(48,1),(76,1)}
        59:{1,2,4,6}:{(36,1),(49,1),(77,1),(85,1),(86,1),(130,1)}
        60:{1,3,6,7}:{(37,1),(40,1),(87,1),(91,1),(194,1)}
        61:{1,2,5,7}:{(37,1),(38,1),(78,1),(87,1),(88,1)}
        62:{2,3,5,6}:{(38,1),(43,1),(79,1),(88,1),(89,1),(136,1),(192,1),(200,1)}
        63:{1,5,6,7}:{(39,1),(40,1),(222,1)}
        64:{2,5,6,7}:{(39,1),(41,1),(188,1)}
        65:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(44,1),(87,1),(90,1),(91,1),(94,1),(143,1),(146,1),(149,1)}
        66:{3,5,7}:{(42,1),(43,1),(91,1),(92,1)}
        67:{3,4,6}:{(43,1),(46,1),(89,1),(92,1),(93,1)}
        68:{1,3,6,7}:{(44,1),(45,1),(91,1),(94,1),(97,1)}
        69:{1,4,7}:{(45,1),(46,1),(92,1)}
        70:{1,4,5}:{(46,1),(48,1),(93,1)}
        71:{1,3,5,7}:{(47,1),(48,1),(84,1),(95,1),(97,1),(140,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(85,1),(96,1),(97,1),(98,1),(141,1)}
        73:{1,3,4,7}:{(49,1),(86,1),(98,1),(187,1)}
        74:{1,2,4,5}:{(50,1),(54,1),(99,1),(117,1),(155,1),(164,1)}
        75:{2,3,4,7}:{(51,1),(57,1),(101,1),(103,1),(108,1),(161,1)}
        76:{2,3,5}:{(51,1),(58,1),(100,1),(109,1)}
        77:{2,3,6}:{(52,1),(59,1),(103,1)}
        78:{1,2,4,7}:{(53,1),(54,1),(61,1),(105,1),(116,1)}
        79:{2,3,6}:{(54,1),(99,1),(105,1)}
        80:{3,4,6}:{(56,1),(108,1),(109,1),(170,1)}
        81:{1,2,3,6,7}:{(55,1),(68,1),(110,1),(113,1),(115,1),(162,1),(170,1),(212,1),(215,1)}
        82:{1,2,4,7}:{(55,1),(56,1),(69,1),(108,1),(116,1),(161,1),(208,1)}
        83:{1,2,4,5}:{(56,1),(58,1),(70,1),(100,1),(109,1),(117,1),(157,1),(164,1)}
        84:{1,2,5,7}:{(57,1),(58,1),(71,1),(101,1),(113,1)}
        85:{1,2,5,6}:{(58,1),(59,1),(72,1),(102,1),(113,1),(114,1)}
        86:{1,2,4,7}:{(59,1),(73,1),(103,1),(114,1),(161,1)}
        87:{1,2,6,7}:{(60,1),(61,1),(115,1),(212,1)}
        88:{2,3,5,7}:{(61,1),(62,1),(66,1),(105,1),(115,1),(116,1),(174,1)}
        89:{2,4,6}:{(62,1),(67,1),(116,1),(117,1)}
        90:{1,2,5,6,7}:{(63,1),(64,1),(65,1),(118,1),(122,1),(172,1),(174,1)}
        91:{3,6,7}:{(65,1),(66,1),(170,1)}
        92:{3,4,7}:{(66,1),(67,1),(69,1),(116,1)}
        93:{3,4,5}:{(67,1),(70,1),(109,1),(117,1)}
        94:{1,4,6,7}:{(68,1),(69,1),(119,1),(122,1),(123,1)}
        95:{1,4,5,7}:{(69,1),(70,1),(71,1),(120,1),(122,1),(123,1)}
        96:{1,4,5,6}:{(70,1),(72,1),(121,1),(123,1),(124,1)}
        97:{1,3,6}:{(71,1),(113,1),(123,1),(170,1)}
        98:{1,3,5,7}:{(72,1),(73,1),(114,1),(124,1),(125,1),(171,1)}
        99:{2,3,5}:{(74,1),(79,1),(127,1)}
       100:{2,4,5}:{(76,1),(128,1),(130,1)}
       101:{2,3,5,7}:{(75,1),(76,1),(84,1),(129,1),(131,1),(140,1)}
       102:{2,3,5,6}:{(76,1),(77,1),(85,1),(130,1),(131,1),(132,1),(141,1),(188,1)}
       103:{2,3,7}:{(77,1),(86,1)}
       104:{1,2,3,6}:{(79,1),(126,1),(133,1),(134,1),(220,1)}
       105:{2,3,7}:{(78,1),(79,1)}
       106:{2,3,4,6}:{(79,1),(80,1),(89,1),(127,1),(134,1),(135,1),(136,1),(192,1)}
       107:{1,3,4,6}:{(80,1),(134,1),(137,1),(138,1),(181,1),(185,1),(194,1),(220,1)}
       108:{3,4,7}:{(80,1),(82,1),(140,1)}
       109:{3,5}:{(80,1),(83,1)}
       110:{1,2,4,6,7}:{(81,1),(82,1),(94,1),(139,1),(142,1),(143,1),(146,1),(189,1),(223,1)}
       111:{1,2,4,5,7}:{(82,1),(83,1),(84,1),(95,1),(129,1),(140,1),(142,1),(143,1),(147,1),(184,1),(190,1),(196,1)}
       112:{1,2,4,5,6}:{(83,1),(85,1),(96,1),(130,1),(141,1),(143,1),(144,1),(148,1),(185,1),(188,1),(191,1),(222,1),(224,1)}
       113:{1,2,6}:{(84,1),(97,1),(131,1)}
       114:{1,2,5,7}:{(85,1),(86,1),(98,1),(132,1),(145,1)}
       115:{2,3,6,7}:{(87,1),(88,1),(91,1),(146,1),(192,1)}
       116:{2,4,7}:{(88,1),(89,1),(92,1)}
       117:{2,4,5}:{(89,1),(93,1),(136,1)}
       118:{3,5,6,7}:{(90,1),(91,1),(149,1),(150,1),(197,1)}
       119:{3,4,6,7}:{(91,1),(92,1),(94,1),(146,1),(149,1),(150,1),(151,1)}
       120:{3,4,5,7}:{(92,1),(93,1),(95,1),(140,1),(147,1),(150,1),(151,1),(196,1)}
       121:{3,4,5,6}:{(93,1),(96,1),(141,1),(148,1),(151,1),(152,1),(224,1)}
       122:{1,5,7}:{(94,1),(150,1),(153,1)}
       123:{1,4,6}:{(95,1),(97,1),(151,1),(153,1)}
       124:{1,4,5,7}:{(96,1),(98,1),(152,1),(154,1)}
       125:{1,3,6,7}:{(97,1),(98,1),(145,1),(154,1),(198,1)}
       126:{1,2,3,5}:{(99,1),(104,1),(155,1),(164,1),(204,1)}
       127:{2,3,4}:{(99,1),(155,1)}
       128:{3,4,5}:{(100,1),(109,1),(157,1),(159,1)}
       129:{2,4,5,7}:{(100,1),(101,1),(158,1),(160,1),(161,1),(211,1)}
       130:{2,4,6}:{(100,1),(102,1),(159,1),(161,1)}
       131:{2,3,6}:{(101,1),(113,1),(160,1),(170,1)}
       132:{2,3,5,7}:{(102,1),(103,1),(114,1),(161,1),(162,1),(171,1),(211,1)}
       133:{1,2,3,7}:{(104,1),(105,1),(163,1),(228,1)}
       134:{1,2,4,6}:{(104,1),(106,1),(107,1),(155,1),(163,1),(164,1),(212,1)}
       135:{2,3,4,7}:{(105,1),(106,1),(108,1),(116,1),(163,1),(165,1)}
       136:{2,3,5}:{(106,1),(109,1),(117,1),(164,1)}
       137:{1,3,4,7}:{(107,1),(108,1),(163,1),(167,1),(208,1),(228,1)}
       138:{1,3,5}:{(107,1),(109,1),(157,1),(164,1)}
       139:{3,4,6,7}:{(108,1),(110,1),(169,1),(170,1),(216,1)}
       140:{3,5,7}:{(108,1),(109,1),(111,1),(170,1)}
       141:{3,5,6}:{(109,1),(112,1),(159,1),(170,1),(171,1)}
       142:{1,2,5,7}:{(110,1),(122,1),(169,1),(172,1),(174,1),(211,1),(229,1)}
       143:{1,2,4,6}:{(111,1),(113,1),(123,1),(160,1),(170,1),(172,1),(175,1),(207,1),(212,1),(216,1)}
       144:{1,2,4,5,7}:{(112,1),(114,1),(124,1),(161,1),(171,1),(173,1),(176,1),(208,1),(211,1),(213,1),(229,1),(230,1)}
       145:{1,2,6,7}:{(113,1),(114,1),(125,1),(162,1)}
       146:{2,4,6,7}:{(115,1),(116,1),(119,1),(174,1),(175,1)}
       147:{2,4,5,7}:{(116,1),(117,1),(120,1),(165,1),(174,1),(175,1)}
       148:{2,4,5,6}:{(117,1),(121,1),(166,1),(175,1),(176,1)}
       149:{4,6,7}:{(118,1),(177,1),(216,1)}
       150:{3,5,7}:{(119,1),(122,1),(174,1),(177,1),(178,1)}
       151:{3,4,6}:{(120,1),(123,1),(170,1),(175,1),(178,1),(216,1)}
       152:{3,4,5,7}:{(121,1),(124,1),(171,1),(176,1),(179,1),(230,1)}
       153:{1,5,6}:{(122,1),(123,1),(178,1)}
       154:{1,4,6,7}:{(123,1),(124,1),(125,1),(179,1),(180,1)}
       155:{1,2,4}:{(126,1),(127,1),(181,1)}
       156:{2,3,4,5}:{(127,1),(128,1),(136,1),(182,1),(183,1)}
       157:{1,4,5}:{(128,1),(138,1),(185,1)}
       158:{3,4,5,7}:{(128,1),(129,1),(140,1),(184,1),(186,1),(187,1),(196,1),(225,1)}
       159:{3,4,6}:{(128,1),(130,1),(141,1),(185,1),(187,1)}
       160:{2,4,6}:{(129,1),(131,1),(186,1),(188,1)}
       161:{2,4,7}:{(130,1),(132,1),(187,1)}
       162:{2,3,6,7}:{(131,1),(132,1),(145,1),(189,1),(198,1)}
       163:{1,2,4,7}:{(133,1),(134,1),(135,1),(137,1),(190,1)}
       164:{1,2,5}:{(134,1),(136,1),(138,1)}
       165:{2,3,5,7}:{(135,1),(136,1),(140,1),(147,1),(190,1),(192,1)}
       166:{2,3,5,6}:{(136,1),(141,1),(148,1),(183,1),(191,1),(192,1),(193,1)}
       167:{1,3,5,7}:{(137,1),(138,1),(140,1),(184,1),(190,1),(194,1)}
       168:{1,3,5,6}:{(138,1),(141,1),(185,1),(191,1),(194,1),(195,1),(220,1),(222,1)}
       169:{3,5,7}:{(139,1),(142,1),(196,1),(197,1)}
       170:{3,6}:{(140,1),(143,1)}
       171:{3,5,7}:{(141,1),(144,1),(187,1),(198,1)}
       172:{1,2,5,6}:{(142,1),(143,1),(153,1),(188,1),(197,1),(200,1),(222,1)}
       173:{1,2,4,6,7}:{(143,1),(144,1),(145,1),(154,1),(189,1),(198,1),(199,1),(201,1),(223,1),(226,1),(227,1)}
       174:{2,5,7}:{(146,1),(150,1),(200,1)}
       175:{2,4,6}:{(147,1),(151,1),(192,1),(200,1)}
       176:{2,4,5,7}:{(148,1),(152,1),(193,1),(201,1)}
       177:{4,5,7}:{(149,1),(150,1),(202,1)}
       178:{3,5,6}:{(150,1),(151,1),(153,1),(200,1),(202,1)}
       179:{3,4,6,7}:{(151,1),(152,1),(154,1),(198,1),(201,1),(203,1),(227,1)}
       180:{1,5,6,7}:{(153,1),(154,1),(203,1)}
       181:{1,3,4}:{(155,1),(204,1)}
       182:{1,2,4,5}:{(155,1),(156,1),(157,1),(164,1),(204,1),(205,1)}
       183:{2,3,4,6}:{(156,1),(159,1),(166,1),(205,1),(206,1)}
       184:{1,4,5,7}:{(157,1),(158,1),(167,1),(207,1),(208,1),(229,1)}
       185:{1,4,6}:{(157,1),(159,1),(168,1),(208,1)}
       186:{3,4,6}:{(158,1),(160,1),(170,1),(207,1),(209,1),(216,1)}
       187:{3,4,7}:{(159,1),(161,1),(171,1),(208,1)}
       188:{2,5,6}:{(160,1),(209,1),(211,1)}
       189:{2,4,6,7}:{(160,1),(161,1),(162,1),(210,1),(211,1)}
       190:{1,2,5,7}:{(163,1),(164,1),(165,1),(167,1),(212,1)}
       191:{1,2,5,6}:{(164,1),(166,1),(168,1),(205,1),(212,1),(213,1)}
       192:{2,3,6}:{(165,1),(170,1),(175,1),(212,1)}
       193:{2,3,5,7}:{(166,1),(171,1),(176,1),(206,1),(213,1),(214,1)}
       194:{1,3,6}:{(167,1),(170,1),(207,1),(212,1)}
       195:{1,3,5,7}:{(168,1),(171,1),(208,1),(213,1),(215,1),(228,1),(229,1)}
       196:{4,5,7}:{(169,1),(216,1)}
       197:{3,5,6}:{(169,1),(170,1),(172,1),(216,1)}
       198:{3,6,7}:{(170,1),(171,1),(173,1)}
       199:{1,2,5,6,7}:{(172,1),(173,1),(180,1),(211,1),(217,1),(218,1),(229,1)}
       200:{2,5,6}:{(174,1),(175,1),(178,1)}
       201:{2,4,6,7}:{(175,1),(176,1),(179,1),(214,1),(218,1)}
       202:{4,5,6}:{(177,1),(178,1),(216,1)}
       203:{3,5,6,7}:{(178,1),(179,1),(180,1),(218,1),(219,1)}
       204:{1,3,5}:{(181,1),(182,1),(220,1)}
       205:{1,2,4,6}:{(182,1),(183,1),(185,1),(191,1),(220,1),(221,1)}
       206:{2,3,4,7}:{(183,1),(187,1),(193,1),(221,1)}
       207:{1,4,6}:{(184,1),(186,1),(194,1),(222,1)}
       208:{1,4,7}:{(185,1),(187,1),(195,1)}
       209:{3,5,6}:{(186,1),(188,1),(222,1),(224,1),(225,1)}
       210:{3,4,6,7}:{(186,1),(187,1),(189,1),(198,1),(223,1),(225,1),(227,1)}
       211:{2,5,7}:{(188,1),(189,1),(225,1)}
       212:{1,2,6}:{(190,1),(192,1),(194,1)}
       213:{1,2,5,7}:{(191,1),(193,1),(195,1),(221,1),(226,1)}
       214:{2,3,6,7}:{(192,1),(193,1),(198,1),(201,1),(226,1)}
       215:{1,3,6,7}:{(194,1),(195,1),(198,1),(223,1),(226,1)}
       216:{4,6}:{(196,1),(197,1)}
       217:{3,5,6,7}:{(197,1),(198,1),(199,1),(225,1),(227,1)}
       218:{2,5,6,7}:{(200,1),(201,1),(203,1)}
       219:{4,5,6,7}:{(202,1),(203,1),(227,1)}
       220:{1,3,6}:{(204,1),(205,1),(228,1)}
       221:{1,2,4,7}:{(205,1),(206,1),(208,1),(213,1),(228,1)}
       222:{1,5,6}:{(207,1),(209,1),(229,1)}
       223:{1,4,6,7}:{(207,1),(208,1),(210,1),(215,1),(229,1)}
       224:{4,5,6}:{(209,1),(216,1),(230,1)}
       225:{3,5,7}:{(209,1),(210,1),(211,1),(229,1),(230,1)}
       226:{1,2,6,7}:{(212,1),(213,1),(214,1),(215,1)}
       227:{4,6,7}:{(216,1),(217,1),(230,1)}
       228:{1,3,7}:{(220,1),(221,1)}
       229:{1,5,7}:{(222,1),(223,1),(225,1)}
       230:{4,5,7}:{(224,1),(225,1),(227,1)}

 921 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(21,1),(160,1),(172,1),(208,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(60,1),(68,1),(115,1)}
         2:{1,4,5,6}:{(0,1),(7,1),(10,1),(181,1),(217,1)}
         3:{2,4,5,6}:{(0,1),(8,1),(11,1),(144,1),(198,1)}
         4:{3,4,5,7}:{(0,1),(10,1),(11,1),(12,1),(40,1),(143,1)}
         5:{2,3,4,6}:{(1,1),(8,1),(13,1),(14,1),(39,1)}
         6:{1,2,4,5}:{(1,1),(13,1),(15,1),(48,1),(80,1),(88,1)}
         7:{1,3,5,6}:{(2,1),(16,1),(17,1),(18,1),(21,1),(154,1),(205,1)}
         8:{2,3,5,6}:{(3,1),(5,1),(19,1),(20,1),(21,1),(115,1),(176,1)}
         9:{1,2,4,5,6}:{(2,1),(3,1),(17,1),(19,1),(21,1),(22,1),(54,1),(57,1),(102,1),(165,1),(168,1),(170,1),(172,1)}
        10:{1,4,5,7}:{(2,1),(4,1),(18,1),(23,1)}
        11:{2,4,5,7}:{(3,1),(4,1),(20,1),(24,1)}
        12:{3,4,6,7}:{(4,1),(23,1),(24,1),(25,1),(62,1),(114,1),(208,1)}
        13:{1,2,4,6}:{(5,1),(6,1),(19,1),(26,1),(27,1),(57,1)}
        14:{2,3,4,7}:{(5,1),(20,1),(27,1),(61,1)}
        15:{1,3,5}:{(6,1),(26,1),(29,1)}
        16:{1,3,4,6}:{(7,1),(30,1),(31,1),(32,1),(39,1)}
        17:{1,2,5,6}:{(7,1),(31,1),(33,1),(34,1),(126,1),(185,1)}
        18:{1,3,5,7}:{(7,1),(10,1),(32,1),(34,1),(35,1),(40,1)}
        19:{1,2,5,6}:{(8,1),(13,1),(36,1),(37,1),(88,1),(148,1)}
        20:{2,3,5,7}:{(8,1),(11,1),(14,1),(37,1),(38,1),(40,1)}
        21:{3,5,6}:{(9,1),(39,1),(40,1),(130,1),(190,1)}
        22:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(34,1),(37,1),(40,1),(41,1),(78,1),(81,1),(137,1),(140,1),(143,1)}
        23:{1,4,6,7}:{(10,1),(12,1),(35,1),(42,1),(217,1)}
        24:{2,4,6,7}:{(11,1),(12,1),(38,1),(43,1),(198,1)}
        25:{3,5,6,7}:{(12,1),(42,1),(43,1),(44,1),(220,1)}
        26:{1,3,6}:{(13,1),(15,1),(47,1)}
        27:{1,2,4,7}:{(13,1),(14,1),(37,1),(47,1),(81,1)}
        28:{1,2,3,5}:{(15,1),(45,1),(48,1),(88,1),(92,1)}
        29:{1,3,4}:{(15,1),(48,1)}
        30:{1,3,4,5}:{(16,1),(50,1),(60,1),(151,1),(154,1)}
        31:{1,2,4,6}:{(16,1),(17,1),(50,1),(51,1),(52,1),(54,1)}
        32:{1,3,4,7}:{(16,1),(18,1),(52,1),(61,1)}
        33:{2,3,5,6}:{(17,1),(21,1),(51,1),(54,1),(55,1),(99,1),(159,1),(168,1)}
        34:{1,2,5,7}:{(17,1),(18,1),(52,1),(55,1),(56,1)}
        35:{1,3,6,7}:{(18,1),(23,1),(56,1),(62,1),(205,1)}
        36:{1,3,5,6}:{(19,1),(21,1),(26,1),(57,1),(58,1),(66,1),(120,1),(170,1)}
        37:{1,2,5,7}:{(19,1),(20,1),(27,1),(58,1),(59,1)}
        38:{2,3,6,7}:{(20,1),(24,1),(59,1),(62,1),(176,1)}
        39:{3,4,6}:{(21,1),(54,1),(57,1),(60,1),(61,1)}
        40:{3,5,7}:{(21,1),(22,1),(61,1),(62,1)}
        41:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(56,1),(59,1),(62,1),(63,1),(107,1),(110,1),(114,1),(165,1)}
        42:{1,5,6,7}:{(23,1),(25,1),(225,1)}
        43:{2,5,6,7}:{(24,1),(25,1),(214,1)}
        44:{4,5,6,7}:{(25,1),(114,1),(227,1)}
        45:{1,2,3,6}:{(26,1),(28,1),(64,1),(65,1),(121,1)}
        46:{1,3,4,6}:{(26,1),(29,1),(57,1),(64,1),(66,1),(67,1),(101,1),(120,1)}
        47:{1,3,7}:{(26,1),(27,1)}
        48:{1,2,4}:{(28,1),(29,1),(68,1)}
        49:{1,3,4,5}:{(29,1),(66,1),(69,1),(70,1),(160,1)}
        50:{1,2,4,5}:{(30,1),(31,1),(71,1),(77,1),(123,1),(126,1)}
        51:{2,3,6}:{(31,1),(71,1),(74,1)}
        52:{1,2,4,7}:{(31,1),(32,1),(34,1),(74,1),(78,1)}
        53:{1,2,3,5,6}:{(33,1),(36,1),(45,1),(72,1),(75,1),(76,1),(88,1),(126,1),(130,1),(145,1),(148,1),(182,1),(185,1),(190,1),(193,1)}
        54:{2,4,6}:{(33,1),(39,1),(77,1),(78,1)}
        55:{2,3,5,7}:{(33,1),(34,1),(40,1),(74,1),(78,1),(79,1),(137,1)}
        56:{1,2,6,7}:{(34,1),(35,1),(79,1),(185,1)}
        57:{1,4,6}:{(36,1),(39,1),(80,1),(81,1)}
        58:{1,3,5,7}:{(36,1),(37,1),(40,1),(47,1),(81,1),(82,1),(140,1)}
        59:{1,2,6,7}:{(37,1),(38,1),(82,1),(148,1)}
        60:{3,4,5}:{(39,1),(77,1),(80,1),(130,1)}
        61:{3,4,7}:{(39,1),(40,1),(78,1),(81,1)}
        62:{3,6,7}:{(40,1),(41,1),(190,1)}
        63:{1,2,5,6,7}:{(41,1),(42,1),(43,1),(86,1),(137,1),(140,1),(193,1)}
        64:{1,2,4,6}:{(45,1),(46,1),(48,1),(87,1),(88,1),(89,1),(148,1)}
        65:{1,2,3,7}:{(45,1),(47,1),(89,1),(150,1)}
        66:{1,3,5}:{(46,1),(80,1),(88,1),(130,1)}
        67:{1,3,4,7}:{(46,1),(47,1),(81,1),(89,1),(91,1),(131,1)}
        68:{2,3,4}:{(48,1),(92,1)}
        69:{1,2,4,5}:{(48,1),(49,1),(88,1),(92,1),(93,1),(144,1)}
        70:{1,3,4,6}:{(49,1),(90,1),(93,1),(94,1),(187,1)}
        71:{2,3,5}:{(50,1),(51,1),(96,1)}
        72:{1,2,3,6}:{(51,1),(95,1),(97,1),(98,1),(200,1)}
        73:{2,3,4,6}:{(51,1),(54,1),(96,1),(97,1),(99,1),(100,1),(101,1),(159,1)}
        74:{2,3,7}:{(51,1),(52,1)}
        75:{1,2,4,6}:{(53,1),(54,1),(57,1),(101,1),(102,1),(103,1),(173,1),(202,1)}
        76:{1,2,3,5,7}:{(53,1),(55,1),(58,1),(65,1),(98,1),(103,1),(104,1),(118,1),(157,1),(162,1),(166,1),(175,1),(204,1)}
        77:{2,4,5}:{(54,1),(60,1),(99,1)}
        78:{2,4,7}:{(54,1),(55,1),(61,1)}
        79:{2,3,6,7}:{(55,1),(56,1),(62,1),(107,1),(159,1)}
        80:{1,4,5}:{(57,1),(60,1),(66,1)}
        81:{1,4,7}:{(57,1),(58,1),(61,1)}
        82:{1,3,6,7}:{(58,1),(59,1),(62,1),(110,1),(120,1)}
        83:{3,4,5,6}:{(60,1),(105,1),(108,1),(111,1),(112,1),(161,1),(227,1)}
        84:{3,4,5,7}:{(60,1),(61,1),(106,1),(109,1),(112,1),(113,1),(162,1),(211,1)}
        85:{3,4,6,7}:{(61,1),(62,1),(107,1),(110,1),(112,1),(113,1),(114,1)}
        86:{3,5,6,7}:{(62,1),(63,1),(113,1),(114,1),(210,1)}
        87:{2,3,4,6}:{(64,1),(68,1),(101,1),(115,1),(116,1),(121,1),(173,1),(176,1)}
        88:{1,2,5}:{(64,1),(66,1),(115,1)}
        89:{1,2,4,7}:{(64,1),(65,1),(67,1),(116,1),(118,1)}
        90:{1,3,5,6}:{(66,1),(70,1),(108,1),(117,1),(119,1),(120,1),(161,1)}
        91:{1,3,5,7}:{(66,1),(67,1),(109,1),(118,1),(120,1),(162,1)}
        92:{2,3,5}:{(68,1),(69,1),(121,1)}
        93:{1,2,4,6}:{(69,1),(70,1),(117,1),(121,1),(122,1),(173,1)}
        94:{1,3,4,7}:{(70,1),(119,1),(122,1),(207,1)}
        95:{1,2,3,5}:{(71,1),(72,1),(123,1),(126,1),(178,1)}
        96:{2,3,4}:{(71,1),(123,1)}
        97:{1,2,4,6}:{(72,1),(73,1),(123,1),(125,1),(126,1),(127,1),(185,1)}
        98:{1,2,3,7}:{(72,1),(74,1),(127,1),(215,1)}
        99:{2,3,5}:{(73,1),(77,1),(126,1),(130,1)}
       100:{2,3,4,7}:{(73,1),(74,1),(78,1),(127,1),(129,1),(131,1)}
       101:{3,4,6}:{(75,1),(130,1),(131,1),(190,1)}
       102:{1,2,4,5}:{(75,1),(77,1),(80,1),(88,1),(126,1),(130,1),(144,1),(181,1)}
       103:{1,2,4,7}:{(75,1),(76,1),(78,1),(81,1),(131,1),(197,1),(216,1)}
       104:{1,2,3,6,7}:{(76,1),(79,1),(82,1),(134,1),(148,1),(185,1),(190,1),(199,1),(218,1)}
       105:{2,4,5,6}:{(77,1),(83,1),(128,1),(135,1),(136,1)}
       106:{2,4,5,7}:{(77,1),(78,1),(84,1),(129,1),(136,1),(137,1)}
       107:{2,4,6,7}:{(78,1),(79,1),(85,1),(136,1),(137,1)}
       108:{1,4,5,6}:{(80,1),(83,1),(90,1),(138,1),(139,1)}
       109:{1,4,5,7}:{(80,1),(81,1),(84,1),(91,1),(139,1),(140,1)}
       110:{1,4,6,7}:{(81,1),(82,1),(85,1),(139,1),(140,1)}
       111:{3,4,5,7}:{(83,1),(135,1),(138,1),(141,1),(189,1),(230,1)}
       112:{3,4,6}:{(84,1),(136,1),(139,1),(142,1),(190,1),(222,1)}
       113:{3,5,7}:{(85,1),(137,1),(140,1),(142,1),(143,1)}
       114:{4,6,7}:{(86,1),(143,1),(222,1)}
       115:{2,3,5}:{(87,1),(88,1),(130,1),(144,1)}
       116:{2,3,4,7}:{(87,1),(89,1),(131,1),(146,1),(150,1),(197,1)}
       117:{1,2,5,6}:{(88,1),(90,1),(93,1),(145,1),(147,1),(148,1)}
       118:{1,2,5,7}:{(88,1),(89,1),(91,1),(146,1),(148,1)}
       119:{1,3,5,7}:{(90,1),(94,1),(138,1),(147,1),(149,1),(189,1)}
       120:{1,3,6}:{(91,1),(139,1),(148,1),(190,1)}
       121:{2,3,6}:{(92,1),(93,1),(150,1)}
       122:{1,2,4,7}:{(93,1),(94,1),(147,1),(150,1),(197,1)}
       123:{1,2,4}:{(95,1),(96,1),(151,1)}
       124:{2,3,4,5}:{(96,1),(99,1),(152,1),(153,1),(160,1)}
       125:{1,3,4,6}:{(97,1),(101,1),(151,1),(154,1),(155,1),(200,1),(202,1),(205,1)}
       126:{1,2,5}:{(97,1),(99,1),(154,1)}
       127:{1,2,4,7}:{(97,1),(98,1),(100,1),(155,1),(157,1)}
       128:{2,3,5,6}:{(99,1),(105,1),(153,1),(156,1),(158,1),(159,1),(161,1)}
       129:{2,3,5,7}:{(99,1),(100,1),(106,1),(157,1),(159,1),(162,1)}
       130:{3,5}:{(101,1),(102,1)}
       131:{3,4,7}:{(101,1),(103,1),(162,1)}
       132:{1,2,4,5,6}:{(102,1),(105,1),(108,1),(117,1),(156,1),(161,1),(164,1),(165,1),(173,1),(202,1),(214,1),(225,1),(227,1)}
       133:{1,2,4,5,7}:{(102,1),(103,1),(106,1),(109,1),(118,1),(157,1),(162,1),(165,1),(166,1),(174,1),(203,1),(211,1)}
       134:{1,2,4,6,7}:{(103,1),(104,1),(107,1),(110,1),(163,1),(165,1),(166,1),(213,1),(224,1)}
       135:{2,4,5,7}:{(105,1),(111,1),(158,1),(167,1)}
       136:{2,4,6}:{(106,1),(112,1),(159,1),(168,1)}
       137:{2,5,7}:{(107,1),(113,1),(168,1)}
       138:{1,4,5,7}:{(108,1),(111,1),(119,1),(169,1)}
       139:{1,4,6}:{(109,1),(112,1),(120,1),(170,1)}
       140:{1,5,7}:{(110,1),(113,1),(170,1)}
       141:{3,4,6,7}:{(111,1),(112,1),(167,1),(169,1),(171,1),(209,1),(228,1)}
       142:{3,5,6}:{(112,1),(113,1),(168,1),(170,1),(172,1)}
       143:{4,5,7}:{(113,1),(114,1),(172,1)}
       144:{2,4,5}:{(115,1),(160,1),(173,1)}
       145:{2,3,5,6}:{(115,1),(117,1),(121,1),(161,1),(173,1),(175,1),(176,1),(214,1)}
       146:{2,3,5,7}:{(115,1),(116,1),(118,1),(162,1),(174,1),(176,1)}
       147:{1,2,5,7}:{(117,1),(119,1),(122,1),(175,1),(177,1)}
       148:{1,2,6}:{(118,1),(120,1),(176,1)}
       149:{1,3,6,7}:{(119,1),(120,1),(169,1),(177,1),(209,1)}
       150:{2,3,7}:{(121,1),(122,1)}
       151:{1,3,4}:{(123,1),(178,1)}
       152:{1,2,4,5}:{(123,1),(124,1),(126,1),(178,1),(179,1),(181,1)}
       153:{2,3,4,6}:{(124,1),(128,1),(179,1),(180,1),(187,1)}
       154:{1,3,5}:{(125,1),(126,1),(130,1),(181,1)}
       155:{1,3,4,7}:{(125,1),(127,1),(131,1),(183,1),(215,1),(216,1)}
       156:{1,2,5,6}:{(126,1),(128,1),(179,1),(182,1),(184,1),(185,1)}
       157:{1,2,5,7}:{(126,1),(127,1),(129,1),(183,1),(185,1)}
       158:{2,3,5,7}:{(128,1),(135,1),(180,1),(184,1),(186,1),(189,1)}
       159:{2,3,6}:{(129,1),(136,1),(185,1),(190,1)}
       160:{3,4,5}:{(130,1),(144,1),(181,1),(187,1)}
       161:{3,5,6}:{(130,1),(132,1),(187,1),(189,1),(190,1)}
       162:{3,5,7}:{(130,1),(131,1),(133,1),(190,1)}
       163:{3,4,6,7}:{(131,1),(134,1),(190,1),(191,1),(222,1)}
       164:{1,2,4,5,7}:{(132,1),(135,1),(138,1),(147,1),(184,1),(189,1),(192,1),(197,1),(216,1),(223,1),(229,1),(230,1)}
       165:{1,2,4,6}:{(133,1),(136,1),(139,1),(148,1),(185,1),(190,1),(193,1),(198,1),(217,1),(222,1)}
       166:{1,2,5,7}:{(134,1),(137,1),(140,1),(191,1),(193,1),(223,1),(229,1)}
       167:{2,4,6,7}:{(135,1),(136,1),(141,1),(186,1),(194,1)}
       168:{2,5,6}:{(136,1),(137,1),(142,1)}
       169:{1,4,6,7}:{(138,1),(139,1),(141,1),(149,1),(195,1)}
       170:{1,5,6}:{(139,1),(140,1),(142,1)}
       171:{3,5,6,7}:{(141,1),(142,1),(194,1),(195,1),(196,1)}
       172:{4,5,6}:{(142,1),(143,1),(222,1)}
       173:{2,4,6}:{(144,1),(145,1),(187,1),(197,1)}
       174:{2,4,5,7}:{(144,1),(146,1),(188,1),(197,1),(198,1),(223,1)}
       175:{2,3,5,7}:{(145,1),(147,1),(150,1),(189,1),(197,1),(199,1),(223,1)}
       176:{2,3,6}:{(146,1),(148,1),(190,1),(198,1)}
       177:{1,2,6,7}:{(147,1),(148,1),(149,1),(199,1)}
       178:{1,3,5}:{(151,1),(152,1),(200,1)}
       179:{1,2,4,6}:{(152,1),(153,1),(156,1),(200,1),(201,1),(202,1)}
       180:{2,3,4,7}:{(153,1),(158,1),(201,1),(207,1)}
       181:{1,4,5}:{(154,1),(160,1),(202,1)}
       182:{1,3,5,6}:{(154,1),(156,1),(161,1),(200,1),(202,1),(204,1),(205,1),(225,1)}
       183:{1,3,5,7}:{(154,1),(155,1),(157,1),(162,1),(203,1),(205,1)}
       184:{1,2,5,7}:{(156,1),(158,1),(201,1),(204,1),(206,1)}
       185:{1,2,6}:{(157,1),(159,1),(205,1)}
       186:{2,3,6,7}:{(158,1),(159,1),(167,1),(206,1),(209,1)}
       187:{3,4,6}:{(160,1),(161,1),(173,1),(202,1),(207,1)}
       188:{3,4,5,7}:{(160,1),(162,1),(174,1),(203,1),(207,1),(208,1),(211,1),(226,1)}
       189:{3,5,7}:{(161,1),(164,1),(207,1),(209,1)}
       190:{3,6}:{(162,1),(165,1)}
       191:{3,5,7}:{(163,1),(166,1),(210,1),(211,1)}
       192:{1,2,4,6,7}:{(164,1),(165,1),(167,1),(169,1),(177,1),(206,1),(209,1),(212,1),(213,1),(224,1),(228,1)}
       193:{1,2,5,6}:{(165,1),(166,1),(168,1),(170,1),(210,1),(214,1),(225,1)}
       194:{2,5,6,7}:{(167,1),(168,1),(171,1)}
       195:{1,5,6,7}:{(169,1),(170,1),(171,1)}
       196:{4,5,6,7}:{(171,1),(172,1),(228,1)}
       197:{2,4,7}:{(173,1),(175,1),(207,1)}
       198:{2,4,6}:{(174,1),(176,1),(208,1),(214,1)}
       199:{2,3,6,7}:{(175,1),(176,1),(177,1),(209,1),(213,1)}
       200:{1,3,6}:{(178,1),(179,1),(215,1)}
       201:{1,2,4,7}:{(179,1),(180,1),(184,1),(215,1),(216,1)}
       202:{1,4,6}:{(181,1),(182,1),(187,1),(216,1)}
       203:{1,4,5,7}:{(181,1),(183,1),(188,1),(216,1),(217,1),(229,1)}
       204:{1,3,5,7}:{(182,1),(184,1),(189,1),(215,1),(216,1),(218,1),(229,1)}
       205:{1,3,6}:{(183,1),(185,1),(190,1),(217,1)}
       206:{1,2,6,7}:{(184,1),(185,1),(186,1),(218,1)}
       207:{3,4,7}:{(187,1),(189,1),(197,1),(216,1)}
       208:{3,4,6}:{(188,1),(190,1),(198,1),(217,1),(220,1),(222,1)}
       209:{3,6,7}:{(189,1),(190,1),(192,1)}
       210:{3,5,6}:{(190,1),(191,1),(193,1),(222,1)}
       211:{4,5,7}:{(191,1),(222,1)}
       212:{1,2,5,6,7}:{(192,1),(193,1),(194,1),(195,1),(221,1),(223,1),(229,1)}
       213:{2,4,6,7}:{(197,1),(198,1),(199,1),(219,1),(223,1)}
       214:{2,5,6}:{(198,1),(220,1),(223,1)}
       215:{1,3,7}:{(200,1),(201,1)}
       216:{1,4,7}:{(202,1),(204,1),(207,1)}
       217:{1,4,6}:{(203,1),(205,1),(208,1),(225,1)}
       218:{1,3,6,7}:{(204,1),(205,1),(206,1),(209,1),(224,1)}
       219:{3,4,6,7}:{(207,1),(208,1),(209,1),(213,1),(224,1),(226,1),(228,1)}
       220:{3,5,6}:{(208,1),(214,1),(225,1),(226,1),(227,1)}
       221:{3,5,6,7}:{(209,1),(210,1),(212,1),(226,1),(228,1)}
       222:{4,6}:{(210,1),(211,1)}
       223:{2,5,7}:{(213,1),(214,1),(226,1)}
       224:{1,4,6,7}:{(216,1),(217,1),(218,1),(219,1),(229,1)}
       225:{1,5,6}:{(217,1),(220,1),(229,1)}
       226:{3,5,7}:{(219,1),(220,1),(223,1),(229,1),(230,1)}
       227:{4,5,6}:{(220,1),(222,1),(230,1)}
       228:{4,6,7}:{(221,1),(222,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(226,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

 922 :   0:{1,3,5,6}:{(2,1),(3,1),(4,1),(18,1),(22,1),(50,1),(55,1),(56,1),(94,1),(96,1),(125,1),(150,1)}
         1:{2,3,5,6}:{(2,1),(5,1),(6,1),(20,1),(22,1),(51,1),(58,1),(59,1),(95,1),(96,1),(126,1),(150,1)}
         2:{1,2,5,6}:{(0,1),(1,1),(9,1),(10,1),(33,1),(36,1),(72,1),(77,1),(79,1),(112,1),(139,1)}
         3:{1,4,6}:{(0,1),(7,1),(11,1),(12,1),(69,1),(115,1),(159,1)}
         4:{1,3,5,7}:{(0,1),(10,1),(12,1),(13,1),(34,1),(41,1),(45,1),(84,1)}
         5:{2,4,6}:{(1,1),(8,1),(14,1),(15,1),(70,1),(115,1),(159,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(15,1),(16,1),(37,1),(41,1),(48,1),(84,1)}
         7:{1,4,5}:{(3,1),(18,1),(125,1),(127,1)}
         8:{2,4,5}:{(5,1),(20,1),(126,1),(127,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(5,1),(17,1),(22,1),(23,1),(25,1),(28,1),(60,1),(89,1)}
        10:{1,2,5,7}:{(2,1),(4,1),(6,1),(23,1),(24,1),(54,1),(57,1)}
        11:{3,4,6}:{(3,1),(18,1),(22,1),(25,1),(26,1),(49,1),(55,1)}
        12:{1,4,7}:{(3,1),(4,1),(26,1),(104,1)}
        13:{1,3,6,7}:{(4,1),(24,1),(27,1),(55,1),(63,1),(94,1),(157,1)}
        14:{3,4,6}:{(5,1),(20,1),(22,1),(28,1),(29,1),(49,1),(58,1)}
        15:{2,4,7}:{(5,1),(6,1),(29,1),(104,1)}
        16:{2,3,6,7}:{(6,1),(24,1),(30,1),(58,1),(63,1),(95,1),(158,1)}
        17:{1,2,4,5}:{(7,1),(8,1),(9,1),(31,1),(33,1),(36,1),(69,1),(70,1),(72,1),(139,1),(159,1)}
        18:{3,5}:{(7,1),(11,1),(33,1)}
        19:{1,4,5,7}:{(7,1),(12,1),(34,1),(35,1),(45,1),(86,1)}
        20:{3,5}:{(8,1),(14,1),(36,1)}
        21:{2,4,5,7}:{(8,1),(15,1),(37,1),(38,1),(48,1),(88,1)}
        22:{3,6}:{(9,1),(31,1),(41,1),(107,1)}
        23:{1,2,4,7}:{(9,1),(10,1),(12,1),(15,1),(41,1),(43,1),(46,1),(81,1)}
        24:{1,2,6,7}:{(10,1),(13,1),(16,1),(77,1),(79,1),(112,1),(165,1)}
        25:{2,4,6}:{(11,1),(33,1),(40,1),(43,1),(70,1),(77,1)}
        26:{3,4,7}:{(11,1),(12,1),(34,1),(41,1),(43,1)}
        27:{1,4,6,7}:{(12,1),(13,1),(35,1),(44,1),(45,1),(109,1),(145,1),(149,1)}
        28:{1,4,6}:{(14,1),(36,1),(39,1),(46,1),(69,1),(79,1)}
        29:{3,4,7}:{(14,1),(15,1),(37,1),(41,1),(46,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(38,1),(47,1),(48,1),(110,1),(146,1),(148,1)}
        31:{3,5}:{(17,1),(22,1),(49,1)}
        32:{1,2,4,5,7}:{(17,1),(19,1),(21,1),(23,1),(52,1),(53,1),(54,1),(57,1),(64,1),(90,1),(91,1),(93,1),(104,1),(105,1),(106,1),(125,1),(126,1),(127,1),(133,1),(136,1),(137,1),(151,1)}
        33:{2,5}:{(18,1),(25,1)}
        34:{3,5,7}:{(18,1),(19,1),(26,1),(54,1),(55,1)}
        35:{1,4,6}:{(19,1),(55,1),(56,1),(98,1)}
        36:{1,5}:{(20,1),(28,1)}
        37:{3,5,7}:{(20,1),(21,1),(29,1),(57,1),(58,1)}
        38:{2,4,6}:{(21,1),(58,1),(59,1),(100,1)}
        39:{1,3,6}:{(22,1),(28,1),(50,1),(60,1),(61,1)}
        40:{2,3,6}:{(22,1),(25,1),(51,1),(60,1),(62,1)}
        41:{3,7}:{(22,1),(23,1)}
        42:{1,2,4,6,7}:{(23,1),(24,1),(27,1),(30,1),(53,1),(63,1),(64,1),(65,1),(67,1),(101,1),(104,1),(124,1),(133,1)}
        43:{2,4,7}:{(25,1),(26,1),(54,1),(62,1)}
        44:{3,4,6,7}:{(26,1),(27,1),(55,1),(63,1),(65,1),(66,1),(92,1),(98,1),(104,1),(131,1),(135,1)}
        45:{1,5,7}:{(27,1),(56,1),(66,1),(125,1)}
        46:{1,4,7}:{(28,1),(29,1),(57,1),(61,1)}
        47:{3,4,6,7}:{(29,1),(30,1),(58,1),(63,1),(67,1),(68,1),(92,1),(100,1),(104,1),(132,1),(134,1)}
        48:{2,5,7}:{(30,1),(59,1),(68,1),(126,1)}
        49:{3,4}:{(31,1),(69,1),(70,1),(107,1),(159,1)}
        50:{1,3,5}:{(31,1),(36,1),(39,1),(69,1),(72,1),(107,1)}
        51:{2,3,5}:{(31,1),(33,1),(40,1),(70,1),(72,1),(107,1)}
        52:{3,5,7}:{(31,1),(32,1),(41,1),(71,1),(75,1),(111,1),(147,1),(160,1)}
        53:{1,2,4,6}:{(32,1),(35,1),(38,1),(75,1),(76,1),(77,1),(79,1),(109,1),(110,1),(112,1),(115,1),(116,1),(117,1),(145,1),(146,1)}
        54:{2,5,7}:{(33,1),(34,1),(43,1),(77,1)}
        55:{3,6}:{(34,1),(35,1),(77,1)}
        56:{1,5,6}:{(35,1),(45,1),(78,1),(145,1)}
        57:{1,5,7}:{(36,1),(37,1),(46,1),(79,1)}
        58:{3,6}:{(37,1),(38,1),(79,1)}
        59:{2,5,6}:{(38,1),(48,1),(80,1),(146,1)}
        60:{1,2,6}:{(39,1),(40,1),(72,1),(81,1)}
        61:{1,3,7}:{(39,1),(41,1),(46,1),(81,1)}
        62:{2,3,7}:{(40,1),(41,1),(43,1),(81,1)}
        63:{3,6,7}:{(41,1),(42,1),(75,1),(84,1),(138,1),(147,1)}
        64:{1,2,5,7}:{(42,1),(45,1),(48,1),(76,1),(84,1),(85,1),(87,1),(139,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(77,1),(83,1),(85,1),(110,1),(116,1),(120,1)}
        66:{3,5,7}:{(44,1),(45,1),(78,1),(85,1),(86,1),(111,1)}
        67:{1,4,6,7}:{(46,1),(47,1),(79,1),(82,1),(87,1),(109,1),(117,1),(119,1)}
        68:{3,5,7}:{(47,1),(48,1),(80,1),(87,1),(88,1),(111,1)}
        69:{1,4}:{(49,1),(50,1)}
        70:{2,4}:{(49,1),(51,1)}
        71:{3,4,7}:{(49,1),(52,1),(90,1),(91,1),(92,1),(104,1),(123,1),(166,1)}
        72:{1,2,5}:{(50,1),(51,1),(60,1),(89,1)}
        73:{1,3,5,7}:{(50,1),(52,1),(57,1),(61,1),(90,1),(93,1),(94,1),(123,1),(125,1),(136,1),(150,1),(157,1),(167,1)}
        74:{2,3,5,7}:{(51,1),(52,1),(54,1),(62,1),(91,1),(93,1),(95,1),(123,1),(126,1),(137,1),(150,1),(158,1),(168,1)}
        75:{3,6}:{(52,1),(53,1)}
        76:{1,2,5,6}:{(53,1),(56,1),(59,1),(64,1),(96,1),(97,1),(99,1),(125,1),(126,1)}
        77:{2,6}:{(54,1),(55,1)}
        78:{3,5,6}:{(55,1),(56,1),(66,1),(97,1),(98,1),(131,1)}
        79:{1,6}:{(57,1),(58,1)}
        80:{3,5,6}:{(58,1),(59,1),(68,1),(99,1),(100,1),(132,1)}
        81:{1,2,7}:{(60,1),(61,1),(62,1)}
        82:{1,3,6,7}:{(61,1),(63,1),(67,1),(94,1),(101,1),(102,1),(132,1)}
        83:{2,3,6,7}:{(62,1),(63,1),(65,1),(95,1),(101,1),(103,1),(131,1)}
        84:{3,5,7}:{(63,1),(64,1),(96,1),(104,1),(150,1)}
        85:{2,5,7}:{(65,1),(66,1),(97,1),(126,1)}
        86:{4,5,7}:{(66,1),(98,1),(104,1),(127,1)}
        87:{1,5,7}:{(67,1),(68,1),(99,1),(125,1)}
        88:{4,5,7}:{(68,1),(100,1),(104,1),(127,1)}
        89:{1,2,4}:{(69,1),(70,1),(72,1),(107,1)}
        90:{1,4,7}:{(69,1),(71,1),(73,1),(109,1),(159,1),(170,1)}
        91:{2,4,7}:{(70,1),(71,1),(74,1),(110,1),(159,1),(171,1)}
        92:{3,4,6}:{(71,1),(75,1),(109,1),(110,1),(111,1),(115,1),(138,1),(159,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(81,1),(108,1),(112,1),(139,1),(165,1),(172,1)}
        94:{1,3,6}:{(73,1),(75,1),(79,1),(109,1),(112,1),(138,1),(145,1)}
        95:{2,3,6}:{(74,1),(75,1),(77,1),(110,1),(112,1),(138,1),(146,1)}
        96:{3,5,6}:{(75,1),(76,1),(84,1),(111,1),(115,1)}
        97:{2,5,6}:{(77,1),(78,1),(85,1),(116,1)}
        98:{4,6}:{(78,1),(86,1)}
        99:{1,5,6}:{(79,1),(80,1),(87,1),(117,1)}
       100:{4,6}:{(80,1),(88,1)}
       101:{1,2,6,7}:{(81,1),(82,1),(83,1),(112,1),(118,1),(145,1),(146,1)}
       102:{1,3,5,7}:{(82,1),(84,1),(87,1),(113,1),(118,1),(119,1),(122,1),(147,1)}
       103:{2,3,5,7}:{(83,1),(84,1),(85,1),(114,1),(118,1),(120,1),(121,1),(147,1)}
       104:{4,7}:{(84,1),(115,1),(159,1)}
       105:{2,4,5,7}:{(85,1),(86,1),(116,1),(120,1),(121,1),(141,1)}
       106:{1,4,5,7}:{(87,1),(88,1),(117,1),(119,1),(122,1),(140,1)}
       107:{3}:{(89,1)}
       108:{1,2,4,7}:{(89,1),(90,1),(91,1),(93,1),(123,1),(124,1),(173,1)}
       109:{1,4,6}:{(90,1),(92,1),(94,1),(125,1)}
       110:{2,4,6}:{(91,1),(92,1),(95,1),(126,1)}
       111:{3,5}:{(92,1),(125,1),(126,1),(127,1)}
       112:{1,2,6}:{(93,1),(94,1),(95,1)}
       113:{1,3,5,6}:{(94,1),(96,1),(99,1),(102,1),(125,1),(128,1),(129,1),(132,1),(150,1),(152,1),(154,1),(167,1)}
       114:{2,3,5,6}:{(95,1),(96,1),(97,1),(103,1),(126,1),(128,1),(130,1),(131,1),(150,1),(153,1),(154,1),(168,1)}
       115:{4,6}:{(96,1),(104,1),(127,1)}
       116:{2,4,6}:{(97,1),(98,1),(105,1),(131,1)}
       117:{1,4,6}:{(99,1),(100,1),(106,1),(132,1)}
       118:{1,2,5,7}:{(101,1),(102,1),(103,1),(128,1),(133,1),(136,1),(137,1)}
       119:{1,4,7}:{(102,1),(104,1),(129,1),(134,1)}
       120:{2,4,7}:{(103,1),(104,1),(130,1),(135,1)}
       121:{3,5,7}:{(105,1),(131,1),(135,1),(136,1),(153,1)}
       122:{3,5,7}:{(106,1),(132,1),(134,1),(137,1),(152,1)}
       123:{3,7}:{(107,1),(108,1),(138,1),(174,1)}
       124:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(138,1),(139,1),(159,1)}
       125:{1,5}:{(109,1),(111,1)}
       126:{2,5}:{(110,1),(111,1)}
       127:{4,5}:{(111,1),(115,1),(159,1)}
       128:{1,2,5,6}:{(112,1),(113,1),(114,1),(118,1),(139,1),(142,1),(145,1),(146,1),(161,1),(162,1),(172,1)}
       129:{1,4,6}:{(113,1),(115,1),(119,1),(140,1),(143,1),(159,1),(170,1)}
       130:{2,4,6}:{(114,1),(115,1),(120,1),(141,1),(144,1),(159,1),(171,1)}
       131:{3,6}:{(116,1),(121,1),(145,1)}
       132:{3,6}:{(117,1),(122,1),(146,1)}
       133:{1,2,4,7}:{(118,1),(119,1),(120,1),(142,1),(147,1),(148,1),(149,1),(165,1)}
       134:{3,4,7}:{(119,1),(122,1),(143,1),(147,1),(148,1)}
       135:{3,4,7}:{(120,1),(121,1),(144,1),(147,1),(149,1)}
       136:{1,5,7}:{(121,1),(145,1),(149,1),(162,1)}
       137:{2,5,7}:{(122,1),(146,1),(148,1),(161,1)}
       138:{3,6}:{(123,1),(124,1),(150,1)}
       139:{1,2,5}:{(124,1),(125,1),(126,1),(150,1)}
       140:{1,4,5}:{(125,1),(127,1),(129,1),(152,1)}
       141:{2,4,5}:{(126,1),(127,1),(130,1),(153,1)}
       142:{1,2,4,6}:{(128,1),(129,1),(130,1),(133,1),(151,1),(154,1),(155,1),(156,1),(169,1),(173,1)}
       143:{3,4,6}:{(129,1),(132,1),(134,1),(152,1),(154,1),(155,1),(166,1)}
       144:{3,4,6}:{(130,1),(131,1),(135,1),(153,1),(154,1),(156,1),(166,1)}
       145:{1,6}:{(131,1),(136,1)}
       146:{2,6}:{(132,1),(137,1)}
       147:{3,7}:{(133,1),(154,1)}
       148:{2,4,7}:{(134,1),(137,1),(155,1),(158,1)}
       149:{1,4,7}:{(135,1),(136,1),(156,1),(157,1)}
       150:{3,5}:{(138,1),(139,1),(159,1)}
       151:{1,2,4,5}:{(139,1),(140,1),(141,1),(142,1),(159,1),(160,1),(161,1),(162,1),(170,1),(171,1),(172,1)}
       152:{3,5}:{(140,1),(143,1),(161,1)}
       153:{3,5}:{(141,1),(144,1),(162,1)}
       154:{3,6}:{(142,1),(147,1),(160,1),(174,1)}
       155:{2,4,6}:{(143,1),(146,1),(148,1),(161,1),(164,1),(171,1)}
       156:{1,4,6}:{(144,1),(145,1),(149,1),(162,1),(163,1),(170,1)}
       157:{1,3,7}:{(147,1),(149,1),(163,1),(165,1)}
       158:{2,3,7}:{(147,1),(148,1),(164,1),(165,1)}
       159:{4}:{(150,1)}
       160:{3,5}:{(151,1),(154,1),(166,1)}
       161:{2,5}:{(152,1),(155,1)}
       162:{1,5}:{(153,1),(156,1)}
       163:{1,3,6}:{(154,1),(156,1),(157,1),(167,1),(169,1)}
       164:{2,3,6}:{(154,1),(155,1),(158,1),(168,1),(169,1)}
       165:{1,2,7}:{(157,1),(158,1),(169,1)}
       166:{3,4}:{(159,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(160,1),(162,1),(163,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(160,1),(161,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(163,1),(164,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

 923 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(14,1),(18,1),(34,1),(38,1),(72,1),(73,1),(74,1),(102,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(62,1),(63,1),(87,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(27,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(57,1),(88,1),(101,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(15,1),(43,1),(95,1)}
         5:{3,4,6}:{(3,1),(10,1),(12,1),(13,1),(14,1),(47,1),(76,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(44,1),(45,1),(48,1),(74,1)}
         7:{3,5,7}:{(2,1),(3,1),(12,1),(15,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(16,1),(18,1),(32,1),(47,1),(66,1),(71,1),(72,1),(93,1),(95,1),(103,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(33,1),(47,1),(68,1),(69,1),(73,1),(91,1),(95,1),(102,1)}
        10:{3,4,5}:{(5,1),(20,1),(21,1),(57,1),(101,1)}
        11:{4,6,7}:{(4,1),(24,1),(100,1)}
        12:{3,4,7}:{(5,1),(7,1),(26,1),(27,1),(65,1)}
        13:{1,4,6}:{(5,1),(8,1),(20,1),(26,1),(86,1),(100,1)}
        14:{2,4,6}:{(5,1),(9,1),(21,1),(27,1),(83,1),(100,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(26,1),(29,1),(31,1),(62,1),(65,1),(90,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(27,1),(30,1),(31,1),(63,1),(65,1),(90,1)}
        18:{1,2,5,6}:{(8,1),(9,1),(28,1),(31,1),(50,1),(52,1),(81,1),(84,1)}
        19:{3,4,5,7}:{(10,1),(12,1),(35,1),(36,1),(37,1),(43,1),(75,1),(97,1),(104,1)}
        20:{1,4,5}:{(10,1),(13,1),(32,1),(103,1),(104,1)}
        21:{2,4,5}:{(10,1),(14,1),(33,1),(102,1),(104,1)}
        22:{1,3,4,6}:{(13,1),(32,1),(39,1),(40,1),(47,1),(66,1),(76,1),(96,1)}
        23:{2,3,4,6}:{(14,1),(33,1),(41,1),(42,1),(47,1),(69,1),(76,1),(96,1)}
        24:{4,5,7}:{(11,1),(34,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(15,1),(35,1),(43,1),(44,1),(45,1),(80,1),(96,1),(97,1)}
        26:{1,4,7}:{(12,1),(13,1),(16,1),(97,1)}
        27:{2,4,7}:{(12,1),(14,1),(17,1),(97,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(18,1),(38,1),(46,1),(47,1)}
        29:{1,3,6,7}:{(15,1),(16,1),(44,1),(48,1),(66,1),(80,1),(93,1)}
        30:{2,3,6,7}:{(15,1),(17,1),(45,1),(48,1),(69,1),(80,1),(91,1)}
        31:{1,2,5,7}:{(16,1),(17,1),(18,1),(46,1),(48,1)}
        32:{1,3,5}:{(20,1),(22,1),(50,1),(57,1),(101,1)}
        33:{2,3,5}:{(21,1),(23,1),(52,1),(57,1),(101,1)}
        34:{4,5,6}:{(24,1),(53,1),(100,1)}
        35:{3,4,6}:{(19,1),(53,1),(54,1),(55,1),(88,1),(100,1)}
        36:{1,4,5,7}:{(19,1),(20,1),(26,1),(49,1),(54,1),(62,1)}
        37:{2,4,5,7}:{(19,1),(21,1),(27,1),(51,1),(55,1),(63,1)}
        38:{1,2,4,5}:{(20,1),(21,1),(28,1),(50,1),(52,1),(57,1),(83,1),(86,1)}
        39:{1,3,4,7}:{(22,1),(26,1),(49,1),(58,1),(65,1),(89,1)}
        40:{1,2,4,6}:{(22,1),(50,1),(58,1),(59,1),(81,1),(83,1),(98,1)}
        41:{2,3,4,7}:{(23,1),(27,1),(51,1),(60,1),(65,1),(89,1)}
        42:{1,2,4,6}:{(23,1),(52,1),(60,1),(61,1),(84,1),(86,1),(99,1)}
        43:{3,5,7}:{(24,1),(25,1),(53,1),(62,1),(63,1),(101,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(54,1),(62,1),(99,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(55,1),(63,1),(98,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(28,1),(31,1),(65,1)}
        47:{3,6}:{(28,1),(57,1),(65,1)}
        48:{1,2,6,7}:{(29,1),(30,1),(31,1),(81,1),(84,1)}
        49:{1,3,5,7}:{(32,1),(36,1),(39,1),(66,1),(67,1),(75,1)}
        50:{1,2,5}:{(32,1),(40,1),(68,1),(102,1)}
        51:{2,3,5,7}:{(33,1),(37,1),(41,1),(69,1),(70,1),(75,1)}
        52:{1,2,5}:{(33,1),(42,1),(71,1),(103,1)}
        53:{3,5,6}:{(34,1),(35,1),(43,1),(72,1),(73,1)}
        54:{1,4,6}:{(35,1),(36,1),(66,1),(72,1)}
        55:{2,4,6}:{(35,1),(37,1),(69,1),(73,1)}
        56:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(46,1),(67,1),(70,1),(74,1),(75,1),(79,1),(92,1),(94,1),(97,1),(102,1),(103,1),(104,1)}
        57:{3,5}:{(38,1),(47,1),(76,1)}
        58:{1,2,4,7}:{(39,1),(40,1),(67,1),(77,1),(92,1)}
        59:{2,3,6}:{(40,1),(47,1),(68,1),(77,1)}
        60:{1,2,4,7}:{(41,1),(42,1),(70,1),(78,1),(94,1)}
        61:{1,3,6}:{(42,1),(47,1),(71,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(72,1),(103,1)}
        63:{2,5,7}:{(43,1),(45,1),(73,1),(102,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(48,1),(74,1),(79,1),(80,1),(97,1)}
        65:{3,7}:{(46,1),(47,1)}
        66:{1,3,6}:{(49,1),(54,1),(81,1),(88,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(58,1),(81,1),(82,1)}
        68:{2,3,5}:{(50,1),(57,1),(59,1),(83,1)}
        69:{2,3,6}:{(51,1),(55,1),(84,1),(88,1)}
        70:{1,2,5,7}:{(51,1),(52,1),(60,1),(84,1),(85,1)}
        71:{1,3,5}:{(52,1),(57,1),(61,1),(86,1)}
        72:{1,5,6}:{(53,1),(54,1),(62,1)}
        73:{2,5,6}:{(53,1),(55,1),(63,1)}
        74:{1,2,4,6}:{(54,1),(55,1),(56,1),(81,1),(84,1),(87,1),(88,1),(98,1),(99,1),(100,1)}
        75:{3,5,7}:{(56,1),(57,1),(65,1),(88,1),(89,1),(101,1)}
        76:{3,4}:{(57,1),(83,1),(86,1)}
        77:{2,3,7}:{(58,1),(59,1),(65,1)}
        78:{1,3,7}:{(60,1),(61,1),(65,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(87,1),(90,1)}
        80:{3,6,7}:{(64,1),(65,1),(88,1),(90,1)}
        81:{1,2,6}:{(66,1),(67,1),(91,1)}
        82:{2,3,5,7}:{(67,1),(68,1),(75,1),(77,1),(91,1),(92,1),(102,1)}
        83:{2,4}:{(68,1),(76,1)}
        84:{1,2,6}:{(69,1),(70,1),(93,1)}
        85:{1,3,5,7}:{(70,1),(71,1),(75,1),(78,1),(93,1),(94,1),(103,1)}
        86:{1,4}:{(71,1),(76,1)}
        87:{1,2,5,6}:{(72,1),(73,1),(74,1),(79,1),(95,1),(102,1),(103,1)}
        88:{3,6}:{(74,1),(75,1)}
        89:{3,4,7}:{(75,1),(76,1),(92,1),(94,1),(96,1),(97,1)}
        90:{3,5,7}:{(79,1),(80,1),(95,1),(97,1)}
        91:{2,3,6}:{(81,1),(82,1),(88,1),(98,1)}
        92:{2,4,7}:{(82,1),(83,1),(89,1),(98,1)}
        93:{1,3,6}:{(84,1),(85,1),(88,1),(99,1)}
        94:{1,4,7}:{(85,1),(86,1),(89,1),(99,1)}
        95:{3,5,6}:{(87,1),(88,1),(90,1),(100,1),(101,1)}
        96:{3,4,6}:{(88,1),(89,1),(98,1),(99,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(100,1)}
        98:{2,4,6}:{(91,1),(92,1),(96,1),(102,1)}
        99:{1,4,6}:{(93,1),(94,1),(96,1),(103,1)}
       100:{4,6}:{(95,1),(97,1),(104,1)}
       101:{3,5}:{(96,1),(102,1),(103,1),(104,1)}
       102:{2,5}:{(98,1),(101,1)}
       103:{1,5}:{(99,1),(101,1)}
       104:{4,5}:{(100,1),(101,1)}

 924 :   0:{1,2,5,6,7}:{(1,1),(2,1),(30,1),(31,1),(59,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(17,1),(75,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(19,1),(24,1),(74,1)}
         3:{1,2,4,5,6}:{(5,1),(7,1),(16,1),(25,1),(26,1),(27,1),(42,1),(43,1),(50,1),(74,1),(97,1),(103,1),(104,1)}
         4:{4,6,7}:{(1,1),(8,1),(88,1)}
         5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(10,1),(30,1),(31,1),(35,1),(36,1),(37,1)}
         6:{3,6,7}:{(2,1),(10,1),(87,1)}
         7:{3,5,6}:{(3,1),(10,1),(13,1),(66,1),(87,1),(102,1)}
         8:{4,5,7}:{(4,1),(16,1),(17,1),(79,1),(97,1)}
         9:{3,4,6,7}:{(4,1),(6,1),(17,1),(18,1),(19,1),(21,1),(41,1),(47,1),(79,1),(96,1)}
        10:{3,5,7}:{(5,1),(6,1),(7,1),(21,1)}
        11:{1,3,6,7}:{(6,1),(18,1),(22,1),(24,1),(47,1),(72,1),(95,1)}
        12:{2,3,6,7}:{(6,1),(19,1),(23,1),(24,1),(47,1),(73,1),(94,1)}
        13:{3,4,6}:{(7,1),(20,1),(21,1),(25,1),(26,1),(56,1),(82,1)}
        14:{1,3,5,6}:{(7,1),(22,1),(25,1),(27,1),(42,1),(48,1),(56,1),(72,1),(75,1),(81,1),(95,1),(104,1)}
        15:{2,3,5,6}:{(7,1),(23,1),(26,1),(27,1),(43,1),(49,1),(56,1),(73,1),(75,1),(80,1),(94,1),(103,1)}
        16:{4,5,6}:{(8,1),(28,1),(88,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(30,1),(31,1),(102,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(30,1),(35,1),(57,1),(101,1)}
        19:{2,4,6,7}:{(9,1),(12,1),(31,1),(36,1),(58,1),(100,1)}
        20:{3,4,5}:{(13,1),(33,1),(34,1),(66,1),(102,1)}
        21:{3,4,7}:{(10,1),(13,1),(35,1),(36,1),(69,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(30,1),(35,1),(37,1),(63,1),(69,1)}
        23:{2,3,5,7}:{(10,1),(12,1),(15,1),(31,1),(36,1),(37,1),(63,1),(69,1)}
        24:{1,2,6,7}:{(11,1),(12,1),(37,1),(85,1),(86,1)}
        25:{1,4,6}:{(13,1),(14,1),(33,1),(35,1),(88,1),(93,1)}
        26:{2,4,6}:{(13,1),(15,1),(34,1),(36,1),(88,1),(92,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(37,1),(40,1),(64,1),(65,1),(85,1),(86,1)}
        28:{3,5,6}:{(16,1),(17,1),(41,1),(42,1),(43,1)}
        29:{3,4,5,7}:{(17,1),(20,1),(21,1),(41,1),(44,1),(45,1),(78,1),(79,1),(97,1)}
        30:{1,5,7}:{(17,1),(18,1),(42,1),(104,1)}
        31:{2,5,7}:{(17,1),(19,1),(43,1),(103,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(24,1),(46,1),(47,1),(53,1),(74,1),(79,1)}
        33:{1,4,5}:{(20,1),(25,1),(48,1),(97,1),(104,1)}
        34:{2,4,5}:{(20,1),(26,1),(49,1),(97,1),(103,1)}
        35:{1,4,7}:{(21,1),(22,1),(25,1),(79,1)}
        36:{2,4,7}:{(21,1),(23,1),(26,1),(79,1)}
        37:{1,2,5,7}:{(22,1),(23,1),(24,1),(27,1),(53,1)}
        38:{1,3,4,6}:{(25,1),(48,1),(51,1),(54,1),(56,1),(72,1),(82,1),(96,1)}
        39:{2,3,4,6}:{(26,1),(49,1),(52,1),(55,1),(56,1),(73,1),(82,1),(96,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(50,1),(53,1),(56,1)}
        41:{3,4,6}:{(28,1),(29,1),(57,1),(58,1),(87,1),(88,1)}
        42:{1,5,6}:{(28,1),(30,1),(57,1)}
        43:{2,5,6}:{(28,1),(31,1),(58,1)}
        44:{1,4,5,7}:{(29,1),(30,1),(33,1),(35,1),(57,1),(60,1)}
        45:{2,4,5,7}:{(29,1),(31,1),(34,1),(36,1),(58,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(32,1),(59,1),(63,1)}
        47:{3,6,7}:{(32,1),(63,1),(69,1),(87,1)}
        48:{1,3,5}:{(33,1),(38,1),(64,1),(66,1),(102,1)}
        49:{2,3,5}:{(34,1),(39,1),(65,1),(66,1),(102,1)}
        50:{1,2,4,5}:{(33,1),(34,1),(40,1),(64,1),(65,1),(66,1),(92,1),(93,1)}
        51:{1,3,4,7}:{(35,1),(38,1),(60,1),(67,1),(69,1),(91,1)}
        52:{2,3,4,7}:{(36,1),(39,1),(61,1),(68,1),(69,1),(91,1)}
        53:{1,2,4,7}:{(35,1),(36,1),(37,1),(40,1),(69,1)}
        54:{1,2,4,6}:{(38,1),(64,1),(67,1),(70,1),(85,1),(92,1),(100,1)}
        55:{1,2,4,6}:{(39,1),(65,1),(68,1),(71,1),(86,1),(93,1),(101,1)}
        56:{3,6}:{(40,1),(66,1),(69,1)}
        57:{1,4,6}:{(41,1),(42,1),(44,1),(72,1)}
        58:{2,4,6}:{(41,1),(43,1),(45,1),(73,1)}
        59:{1,2,5,6}:{(42,1),(43,1),(46,1),(74,1),(75,1),(103,1),(104,1)}
        60:{1,3,5,7}:{(44,1),(48,1),(51,1),(72,1),(76,1),(78,1)}
        61:{2,3,5,7}:{(45,1),(49,1),(52,1),(73,1),(77,1),(78,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(53,1),(74,1),(76,1),(77,1),(78,1),(79,1),(97,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5,7}:{(46,1),(47,1),(75,1),(79,1)}
        64:{1,2,5}:{(48,1),(54,1),(80,1),(103,1)}
        65:{1,2,5}:{(49,1),(55,1),(81,1),(104,1)}
        66:{3,5}:{(50,1),(56,1),(82,1)}
        67:{1,2,4,7}:{(51,1),(54,1),(76,1),(83,1),(98,1)}
        68:{1,2,4,7}:{(52,1),(55,1),(77,1),(84,1),(99,1)}
        69:{3,7}:{(53,1),(56,1)}
        70:{2,3,6}:{(54,1),(56,1),(80,1),(83,1)}
        71:{1,3,6}:{(55,1),(56,1),(81,1),(84,1)}
        72:{1,3,6}:{(57,1),(60,1),(85,1),(87,1)}
        73:{2,3,6}:{(58,1),(61,1),(86,1),(87,1)}
        74:{1,2,4,6}:{(57,1),(58,1),(59,1),(62,1),(85,1),(86,1),(87,1),(88,1),(100,1),(101,1)}
        75:{3,5,6}:{(59,1),(63,1),(87,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(60,1),(64,1),(67,1),(85,1),(89,1)}
        77:{1,2,5,7}:{(61,1),(65,1),(68,1),(86,1),(90,1)}
        78:{3,5,7}:{(62,1),(66,1),(69,1),(87,1),(91,1),(102,1)}
        79:{4,7}:{(63,1),(88,1)}
        80:{2,3,5}:{(64,1),(66,1),(70,1),(92,1)}
        81:{1,3,5}:{(65,1),(66,1),(71,1),(93,1)}
        82:{3,4}:{(66,1),(92,1),(93,1)}
        83:{2,3,7}:{(67,1),(69,1),(70,1)}
        84:{1,3,7}:{(68,1),(69,1),(71,1)}
        85:{1,2,6}:{(72,1),(76,1),(94,1)}
        86:{1,2,6}:{(73,1),(77,1),(95,1)}
        87:{3,6}:{(74,1),(78,1)}
        88:{4,6}:{(75,1),(79,1),(97,1)}
        89:{2,3,5,7}:{(76,1),(78,1),(80,1),(83,1),(94,1),(98,1),(103,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(81,1),(84,1),(95,1),(99,1),(104,1)}
        91:{3,4,7}:{(78,1),(79,1),(82,1),(96,1),(98,1),(99,1)}
        92:{2,4}:{(80,1),(82,1)}
        93:{1,4}:{(81,1),(82,1)}
        94:{2,3,6}:{(85,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(86,1),(87,1),(90,1),(101,1)}
        96:{3,4,6}:{(87,1),(88,1),(91,1),(100,1),(101,1),(102,1)}
        97:{4,5}:{(88,1),(102,1)}
        98:{2,4,7}:{(89,1),(91,1),(92,1),(100,1)}
        99:{1,4,7}:{(90,1),(91,1),(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(96,1),(98,1),(103,1)}
       101:{1,4,6}:{(95,1),(96,1),(99,1),(104,1)}
       102:{3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{1,5}:{(101,1),(102,1)}

 925 :   0:{1,2,4,5,6}:{(1,1),(2,1),(9,1),(10,1),(12,1),(36,1),(75,1),(76,1),(77,1),(78,1),(102,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(55,1),(88,1),(100,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(24,1),(26,1),(62,1),(63,1),(64,1)}
         3:{3,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(40,1),(73,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(12,1),(13,1),(33,1),(40,1),(65,1),(71,1),(76,1),(92,1),(96,1),(102,1)}
         5:{2,3,5,6}:{(1,1),(10,1),(12,1),(14,1),(30,1),(40,1),(67,1),(69,1),(77,1),(94,1),(96,1),(103,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(15,1)}
         7:{1,2,4,6,7}:{(2,1),(15,1),(16,1),(42,1),(43,1),(45,1),(46,1),(75,1)}
         8:{3,4,5}:{(3,1),(19,1),(20,1),(55,1),(100,1)}
         9:{1,4,6}:{(3,1),(4,1),(19,1),(23,1),(81,1),(101,1)}
        10:{2,4,6}:{(3,1),(5,1),(20,1),(24,1),(84,1),(101,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(24,1),(60,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(22,1),(26,1),(47,1),(51,1),(83,1),(86,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(23,1),(26,1),(27,1),(60,1),(62,1),(90,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(24,1),(26,1),(28,1),(60,1),(63,1),(90,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,2,5,6,7}:{(7,1),(29,1),(62,1),(63,1),(89,1)}
        17:{2,3,4,6}:{(10,1),(30,1),(31,1),(32,1),(40,1),(67,1),(73,1),(95,1)}
        18:{1,3,4,6}:{(9,1),(33,1),(34,1),(35,1),(40,1),(71,1),(73,1),(95,1)}
        19:{1,4,5}:{(8,1),(9,1),(33,1),(102,1),(104,1)}
        20:{2,4,5}:{(8,1),(10,1),(30,1),(103,1),(104,1)}
        21:{3,4,5,7}:{(8,1),(11,1),(37,1),(38,1),(39,1),(44,1),(74,1),(97,1),(104,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(12,1),(36,1),(40,1),(41,1)}
        23:{1,4,7}:{(9,1),(11,1),(13,1),(97,1)}
        24:{2,4,7}:{(10,1),(11,1),(14,1),(97,1)}
        25:{3,4,6,7}:{(11,1),(15,1),(39,1),(42,1),(43,1),(44,1),(46,1),(79,1),(95,1),(97,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(14,1),(41,1),(45,1)}
        27:{1,3,6,7}:{(13,1),(15,1),(42,1),(45,1),(71,1),(79,1),(92,1)}
        28:{2,3,6,7}:{(14,1),(15,1),(43,1),(45,1),(67,1),(79,1),(94,1)}
        29:{3,5,6,7}:{(15,1),(16,1),(44,1),(46,1),(96,1)}
        30:{2,3,5}:{(17,1),(20,1),(47,1),(55,1),(100,1)}
        31:{1,2,4,6}:{(17,1),(47,1),(49,1),(50,1),(81,1),(83,1),(98,1)}
        32:{2,3,4,7}:{(17,1),(24,1),(48,1),(50,1),(60,1),(87,1)}
        33:{1,3,5}:{(18,1),(19,1),(51,1),(55,1),(100,1)}
        34:{1,2,4,6}:{(18,1),(51,1),(53,1),(54,1),(84,1),(86,1),(99,1)}
        35:{1,3,4,7}:{(18,1),(23,1),(52,1),(54,1),(60,1),(87,1)}
        36:{1,2,4,5}:{(19,1),(20,1),(22,1),(47,1),(51,1),(55,1),(81,1),(84,1)}
        37:{1,4,5,7}:{(19,1),(21,1),(23,1),(52,1),(57,1),(62,1)}
        38:{2,4,5,7}:{(20,1),(21,1),(24,1),(48,1),(58,1),(63,1)}
        39:{3,4,6}:{(21,1),(57,1),(58,1),(59,1),(88,1),(101,1)}
        40:{3,6}:{(22,1),(55,1),(60,1)}
        41:{1,2,4,7}:{(22,1),(23,1),(24,1),(26,1),(60,1)}
        42:{1,4,6,7}:{(23,1),(25,1),(27,1),(57,1),(62,1),(98,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(28,1),(58,1),(63,1),(99,1)}
        44:{3,5,7}:{(25,1),(59,1),(62,1),(63,1),(64,1),(100,1)}
        45:{1,2,6,7}:{(26,1),(27,1),(28,1),(83,1),(86,1)}
        46:{4,6,7}:{(29,1),(64,1),(101,1)}
        47:{1,2,5}:{(30,1),(31,1),(65,1),(102,1)}
        48:{2,3,5,7}:{(30,1),(32,1),(38,1),(66,1),(67,1),(74,1)}
        49:{1,3,6}:{(31,1),(40,1),(65,1),(68,1)}
        50:{1,2,4,7}:{(31,1),(32,1),(66,1),(68,1),(91,1)}
        51:{1,2,5}:{(33,1),(34,1),(69,1),(103,1)}
        52:{1,3,5,7}:{(33,1),(35,1),(37,1),(70,1),(71,1),(74,1)}
        53:{2,3,6}:{(34,1),(40,1),(69,1),(72,1)}
        54:{1,2,4,7}:{(34,1),(35,1),(70,1),(72,1),(93,1)}
        55:{3,5}:{(36,1),(40,1),(73,1)}
        56:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(41,1),(66,1),(70,1),(74,1),(75,1),(80,1),(91,1),(93,1),(97,1),(102,1),(103,1),(104,1)}
        57:{1,4,6}:{(37,1),(39,1),(71,1),(76,1)}
        58:{2,4,6}:{(38,1),(39,1),(67,1),(77,1)}
        59:{3,5,6}:{(39,1),(44,1),(76,1),(77,1),(78,1)}
        60:{3,7}:{(40,1),(41,1)}
        61:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(45,1),(75,1),(79,1),(80,1),(97,1)}
        62:{1,5,7}:{(42,1),(44,1),(76,1),(102,1)}
        63:{2,5,7}:{(43,1),(44,1),(77,1),(103,1)}
        64:{4,5,7}:{(44,1),(46,1),(78,1),(97,1),(104,1)}
        65:{1,3,5}:{(47,1),(49,1),(55,1),(81,1)}
        66:{1,2,5,7}:{(47,1),(48,1),(50,1),(82,1),(83,1)}
        67:{2,3,6}:{(48,1),(58,1),(83,1),(88,1)}
        68:{1,3,7}:{(49,1),(50,1),(60,1)}
        69:{2,3,5}:{(51,1),(53,1),(55,1),(84,1)}
        70:{1,2,5,7}:{(51,1),(52,1),(54,1),(85,1),(86,1)}
        71:{1,3,6}:{(52,1),(57,1),(86,1),(88,1)}
        72:{2,3,7}:{(53,1),(54,1),(60,1)}
        73:{3,4}:{(55,1),(81,1),(84,1)}
        74:{3,5,7}:{(55,1),(56,1),(60,1),(87,1),(88,1),(100,1)}
        75:{1,2,4,6}:{(56,1),(57,1),(58,1),(83,1),(86,1),(88,1),(89,1),(98,1),(99,1),(101,1)}
        76:{1,5,6}:{(57,1),(59,1),(62,1)}
        77:{2,5,6}:{(58,1),(59,1),(63,1)}
        78:{4,5,6}:{(59,1),(64,1),(101,1)}
        79:{3,6,7}:{(60,1),(61,1),(88,1),(90,1)}
        80:{1,2,5,7}:{(61,1),(62,1),(63,1),(89,1),(90,1)}
        81:{1,4}:{(65,1),(73,1)}
        82:{1,3,5,7}:{(65,1),(66,1),(68,1),(74,1),(91,1),(92,1),(102,1)}
        83:{1,2,6}:{(66,1),(67,1),(92,1)}
        84:{2,4}:{(69,1),(73,1)}
        85:{2,3,5,7}:{(69,1),(70,1),(72,1),(74,1),(93,1),(94,1),(103,1)}
        86:{1,2,6}:{(70,1),(71,1),(94,1)}
        87:{3,4,7}:{(73,1),(74,1),(91,1),(93,1),(95,1),(97,1)}
        88:{3,6}:{(74,1),(75,1)}
        89:{1,2,5,6}:{(75,1),(76,1),(77,1),(80,1),(96,1),(102,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{1,4,7}:{(81,1),(82,1),(87,1),(98,1)}
        92:{1,3,6}:{(82,1),(83,1),(88,1),(98,1)}
        93:{2,4,7}:{(84,1),(85,1),(87,1),(99,1)}
        94:{2,3,6}:{(85,1),(86,1),(88,1),(99,1)}
        95:{3,4,6}:{(87,1),(88,1),(98,1),(99,1),(100,1),(101,1)}
        96:{3,5,6}:{(88,1),(89,1),(90,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{1,4,6}:{(91,1),(92,1),(95,1),(102,1)}
        99:{2,4,6}:{(93,1),(94,1),(95,1),(103,1)}
       100:{3,5}:{(95,1),(102,1),(103,1),(104,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{1,5}:{(98,1),(100,1)}
       103:{2,5}:{(99,1),(100,1)}
       104:{4,5}:{(100,1),(101,1)}

 926 :   0:{3,4,5,6}:{(1,1),(2,1),(3,1),(23,1),(154,1),(165,1),(205,1)}
         1:{3,4,5,7}:{(0,1),(7,1),(8,1),(9,1),(39,1),(133,1)}
         2:{1,4,5,6}:{(0,1),(4,1),(8,1),(171,1),(211,1)}
         3:{2,4,5,6}:{(0,1),(5,1),(9,1),(177,1),(214,1)}
         4:{1,3,5,6}:{(2,1),(13,1),(15,1),(16,1),(23,1),(143,1),(197,1)}
         5:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(23,1),(149,1),(202,1)}
         6:{4,5,6,7}:{(19,1),(102,1),(225,1)}
         7:{3,4,6,7}:{(1,1),(19,1),(20,1),(21,1),(55,1),(102,1),(205,1)}
         8:{1,4,5,7}:{(1,1),(2,1),(15,1),(20,1)}
         9:{2,4,5,7}:{(1,1),(3,1),(17,1),(21,1)}
        10:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(18,1),(22,1),(23,1),(50,1),(53,1),(95,1),(159,1),(161,1),(163,1),(165,1)}
        11:{1,3,4,5}:{(13,1),(24,1),(57,1),(106,1),(143,1)}
        12:{2,3,4,5}:{(14,1),(25,1),(57,1),(109,1),(149,1)}
        13:{1,3,4,6}:{(4,1),(11,1),(26,1),(27,1),(40,1)}
        14:{2,3,4,6}:{(5,1),(12,1),(28,1),(29,1),(40,1)}
        15:{1,3,5,7}:{(4,1),(8,1),(26,1),(30,1),(31,1),(39,1)}
        16:{1,2,5,6}:{(4,1),(27,1),(31,1),(32,1),(114,1),(174,1)}
        17:{2,3,5,7}:{(5,1),(9,1),(28,1),(33,1),(34,1),(39,1)}
        18:{1,2,5,6}:{(5,1),(29,1),(34,1),(35,1),(119,1),(180,1)}
        19:{3,5,6,7}:{(6,1),(7,1),(36,1),(37,1),(217,1)}
        20:{1,4,6,7}:{(7,1),(8,1),(30,1),(36,1),(211,1)}
        21:{2,4,6,7}:{(7,1),(9,1),(33,1),(37,1),(214,1)}
        22:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(31,1),(34,1),(38,1),(39,1),(71,1),(74,1),(127,1),(130,1),(133,1)}
        23:{3,5,6}:{(10,1),(39,1),(40,1),(123,1),(186,1)}
        24:{1,2,4,5}:{(11,1),(27,1),(41,1),(72,1),(80,1),(114,1)}
        25:{1,2,4,5}:{(12,1),(29,1),(42,1),(75,1),(82,1),(119,1)}
        26:{1,3,4,7}:{(13,1),(15,1),(43,1),(56,1)}
        27:{1,2,4,6}:{(13,1),(16,1),(24,1),(43,1),(44,1),(50,1)}
        28:{2,3,4,7}:{(14,1),(17,1),(45,1),(56,1)}
        29:{1,2,4,6}:{(14,1),(18,1),(25,1),(45,1),(46,1),(53,1)}
        30:{1,3,6,7}:{(15,1),(20,1),(48,1),(55,1),(197,1)}
        31:{1,2,5,7}:{(15,1),(16,1),(43,1),(48,1),(49,1)}
        32:{2,3,5,6}:{(16,1),(23,1),(44,1),(49,1),(50,1),(87,1),(146,1),(161,1)}
        33:{2,3,6,7}:{(17,1),(21,1),(51,1),(55,1),(202,1)}
        34:{1,2,5,7}:{(17,1),(18,1),(45,1),(51,1),(52,1)}
        35:{1,3,5,6}:{(18,1),(23,1),(46,1),(52,1),(53,1),(91,1),(152,1),(163,1)}
        36:{1,5,6,7}:{(19,1),(20,1),(221,1)}
        37:{2,5,6,7}:{(19,1),(21,1),(223,1)}
        38:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(48,1),(51,1),(54,1),(55,1),(96,1),(99,1),(102,1),(159,1)}
        39:{3,5,7}:{(22,1),(23,1),(55,1),(56,1)}
        40:{3,4,6}:{(23,1),(50,1),(53,1),(56,1),(57,1)}
        41:{2,3,5}:{(24,1),(44,1),(59,1)}
        42:{1,3,5}:{(25,1),(46,1),(61,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(31,1),(63,1),(71,1)}
        44:{2,3,6}:{(27,1),(41,1),(63,1)}
        45:{1,2,4,7}:{(28,1),(29,1),(34,1),(66,1),(74,1)}
        46:{1,3,6}:{(29,1),(42,1),(66,1)}
        47:{1,2,3,5,6}:{(32,1),(35,1),(62,1),(65,1),(68,1),(69,1),(114,1),(119,1),(123,1),(173,1),(174,1),(179,1),(180,1),(186,1),(188,1)}
        48:{1,2,6,7}:{(30,1),(31,1),(70,1),(174,1)}
        49:{2,3,5,7}:{(31,1),(32,1),(39,1),(63,1),(70,1),(71,1),(127,1)}
        50:{2,4,6}:{(32,1),(40,1),(71,1),(72,1)}
        51:{1,2,6,7}:{(33,1),(34,1),(73,1),(180,1)}
        52:{1,3,5,7}:{(34,1),(35,1),(39,1),(66,1),(73,1),(74,1),(130,1)}
        53:{1,4,6}:{(35,1),(40,1),(74,1),(75,1)}
        54:{1,2,5,6,7}:{(36,1),(37,1),(38,1),(76,1),(127,1),(130,1),(188,1)}
        55:{3,6,7}:{(38,1),(39,1),(186,1)}
        56:{3,4,7}:{(39,1),(40,1),(71,1),(74,1)}
        57:{3,4,5}:{(40,1),(72,1),(75,1),(123,1)}
        58:{1,2,3,5}:{(41,1),(62,1),(80,1),(114,1),(136,1)}
        59:{2,3,4}:{(41,1),(80,1)}
        60:{1,2,3,5}:{(42,1),(65,1),(82,1),(119,1),(139,1)}
        61:{1,3,4}:{(42,1),(82,1)}
        62:{1,2,3,6}:{(44,1),(58,1),(84,1),(85,1),(167,1)}
        63:{2,3,7}:{(43,1),(44,1)}
        64:{2,3,4,6}:{(44,1),(50,1),(59,1),(85,1),(86,1),(87,1),(92,1),(146,1)}
        65:{1,2,3,6}:{(46,1),(60,1),(88,1),(89,1),(169,1)}
        66:{1,3,7}:{(45,1),(46,1)}
        67:{1,3,4,6}:{(46,1),(53,1),(61,1),(89,1),(90,1),(91,1),(92,1),(152,1)}
        68:{1,2,3,5,7}:{(47,1),(49,1),(52,1),(84,1),(88,1),(93,1),(94,1),(144,1),(150,1),(156,1),(158,1),(198,1),(203,1)}
        69:{1,2,4,6}:{(47,1),(50,1),(53,1),(92,1),(94,1),(95,1),(196,1),(201,1)}
        70:{2,3,6,7}:{(48,1),(49,1),(55,1),(96,1),(146,1)}
        71:{2,4,7}:{(49,1),(50,1),(56,1)}
        72:{2,4,5}:{(50,1),(57,1),(87,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(55,1),(99,1),(152,1)}
        74:{1,4,7}:{(52,1),(53,1),(56,1)}
        75:{1,4,5}:{(53,1),(57,1),(91,1)}
        76:{3,5,6,7}:{(54,1),(55,1),(102,1),(103,1),(208,1)}
        77:{3,4,6,7}:{(55,1),(56,1),(96,1),(99,1),(102,1),(103,1),(104,1)}
        78:{3,4,5,7}:{(56,1),(57,1),(97,1),(100,1),(103,1),(104,1),(156,1),(207,1)}
        79:{3,4,5,6}:{(57,1),(98,1),(101,1),(104,1),(105,1),(157,1),(225,1)}
        80:{1,2,4}:{(58,1),(59,1),(106,1)}
        81:{2,3,4,5}:{(59,1),(87,1),(107,1),(108,1),(154,1)}
        82:{1,2,4}:{(60,1),(61,1),(109,1)}
        83:{1,3,4,5}:{(61,1),(91,1),(110,1),(111,1),(154,1)}
        84:{1,2,3,7}:{(62,1),(63,1),(113,1),(193,1)}
        85:{1,2,4,6}:{(62,1),(64,1),(80,1),(112,1),(113,1),(114,1),(174,1)}
        86:{2,3,4,7}:{(63,1),(64,1),(71,1),(113,1),(115,1),(122,1)}
        87:{2,3,5}:{(64,1),(72,1),(114,1),(123,1)}
        88:{1,2,3,7}:{(65,1),(66,1),(118,1),(194,1)}
        89:{1,2,4,6}:{(65,1),(67,1),(82,1),(117,1),(118,1),(119,1),(180,1)}
        90:{1,3,4,7}:{(66,1),(67,1),(74,1),(118,1),(120,1),(122,1)}
        91:{1,3,5}:{(67,1),(75,1),(119,1),(123,1)}
        92:{3,4,6}:{(69,1),(122,1),(123,1),(186,1)}
        93:{1,2,3,6,7}:{(68,1),(70,1),(73,1),(124,1),(174,1),(180,1),(186,1),(213,1),(216,1)}
        94:{1,2,4,7}:{(68,1),(69,1),(71,1),(74,1),(122,1),(212,1),(215,1)}
        95:{1,2,4,5}:{(69,1),(72,1),(75,1),(114,1),(119,1),(123,1),(171,1),(177,1)}
        96:{2,4,6,7}:{(70,1),(71,1),(77,1),(127,1),(128,1)}
        97:{2,4,5,7}:{(71,1),(72,1),(78,1),(115,1),(127,1),(128,1)}
        98:{2,4,5,6}:{(72,1),(79,1),(116,1),(128,1),(129,1)}
        99:{1,4,6,7}:{(73,1),(74,1),(77,1),(130,1),(131,1)}
       100:{1,4,5,7}:{(74,1),(75,1),(78,1),(120,1),(130,1),(131,1)}
       101:{1,4,5,6}:{(75,1),(79,1),(121,1),(131,1),(132,1)}
       102:{4,6,7}:{(76,1),(133,1),(219,1)}
       103:{3,5,7}:{(77,1),(127,1),(130,1),(133,1),(134,1)}
       104:{3,4,6}:{(78,1),(128,1),(131,1),(134,1),(186,1),(219,1)}
       105:{3,4,5,7}:{(79,1),(129,1),(132,1),(135,1),(187,1),(230,1)}
       106:{1,3,4}:{(80,1),(136,1)}
       107:{1,2,4,5}:{(80,1),(81,1),(114,1),(136,1),(137,1),(171,1)}
       108:{2,3,4,6}:{(81,1),(116,1),(137,1),(138,1),(184,1)}
       109:{2,3,4}:{(82,1),(139,1)}
       110:{1,2,4,5}:{(82,1),(83,1),(119,1),(139,1),(140,1),(177,1)}
       111:{1,3,4,6}:{(83,1),(121,1),(140,1),(141,1),(184,1)}
       112:{1,3,4,6}:{(85,1),(92,1),(106,1),(142,1),(143,1),(167,1),(196,1),(197,1)}
       113:{1,2,4,7}:{(84,1),(85,1),(86,1),(142,1),(144,1)}
       114:{1,2,5}:{(85,1),(87,1),(143,1)}
       115:{2,3,5,7}:{(86,1),(87,1),(97,1),(144,1),(146,1),(156,1)}
       116:{2,3,5,6}:{(87,1),(98,1),(108,1),(145,1),(146,1),(147,1),(157,1)}
       117:{2,3,4,6}:{(89,1),(92,1),(109,1),(148,1),(149,1),(169,1),(201,1),(202,1)}
       118:{1,2,4,7}:{(88,1),(89,1),(90,1),(148,1),(150,1)}
       119:{1,2,5}:{(89,1),(91,1),(149,1)}
       120:{1,3,5,7}:{(90,1),(91,1),(100,1),(150,1),(152,1),(156,1)}
       121:{1,3,5,6}:{(91,1),(101,1),(111,1),(151,1),(152,1),(153,1),(157,1)}
       122:{3,4,7}:{(92,1),(94,1),(156,1)}
       123:{3,5}:{(92,1),(95,1)}
       124:{1,2,4,6,7}:{(93,1),(94,1),(96,1),(99,1),(155,1),(158,1),(159,1),(222,1),(224,1)}
       125:{1,2,4,5,7}:{(94,1),(95,1),(97,1),(100,1),(144,1),(150,1),(156,1),(158,1),(159,1),(195,1),(200,1),(207,1)}
       126:{1,2,4,5,6}:{(95,1),(98,1),(101,1),(145,1),(151,1),(157,1),(159,1),(160,1),(196,1),(201,1),(221,1),(223,1),(225,1)}
       127:{2,5,7}:{(96,1),(103,1),(161,1)}
       128:{2,4,6}:{(97,1),(104,1),(146,1),(161,1)}
       129:{2,4,5,7}:{(98,1),(105,1),(147,1),(162,1)}
       130:{1,5,7}:{(99,1),(103,1),(163,1)}
       131:{1,4,6}:{(100,1),(104,1),(152,1),(163,1)}
       132:{1,4,5,7}:{(101,1),(105,1),(153,1),(164,1)}
       133:{4,5,7}:{(102,1),(103,1),(165,1)}
       134:{3,5,6}:{(103,1),(104,1),(161,1),(163,1),(165,1)}
       135:{3,4,6,7}:{(104,1),(105,1),(162,1),(164,1),(166,1),(209,1),(227,1)}
       136:{1,3,5}:{(106,1),(107,1),(167,1)}
       137:{1,2,4,6}:{(107,1),(108,1),(145,1),(167,1),(168,1),(196,1)}
       138:{2,3,4,7}:{(108,1),(147,1),(168,1),(206,1)}
       139:{2,3,5}:{(109,1),(110,1),(169,1)}
       140:{1,2,4,6}:{(110,1),(111,1),(151,1),(169,1),(170,1),(201,1)}
       141:{1,3,4,7}:{(111,1),(153,1),(170,1),(206,1)}
       142:{1,3,4,7}:{(112,1),(113,1),(122,1),(172,1),(193,1),(212,1)}
       143:{1,3,5}:{(112,1),(114,1),(123,1),(171,1)}
       144:{1,2,5,7}:{(113,1),(114,1),(115,1),(172,1),(174,1)}
       145:{1,2,5,6}:{(114,1),(116,1),(137,1),(173,1),(174,1),(175,1)}
       146:{2,3,6}:{(115,1),(128,1),(174,1),(186,1)}
       147:{2,3,5,7}:{(116,1),(129,1),(138,1),(175,1),(176,1),(187,1)}
       148:{2,3,4,7}:{(117,1),(118,1),(122,1),(178,1),(194,1),(215,1)}
       149:{2,3,5}:{(117,1),(119,1),(123,1),(177,1)}
       150:{1,2,5,7}:{(118,1),(119,1),(120,1),(178,1),(180,1)}
       151:{1,2,5,6}:{(119,1),(121,1),(140,1),(179,1),(180,1),(181,1)}
       152:{1,3,6}:{(120,1),(131,1),(180,1),(186,1)}
       153:{1,3,5,7}:{(121,1),(132,1),(141,1),(181,1),(182,1),(187,1)}
       154:{3,4,5}:{(123,1),(171,1),(177,1),(184,1)}
       155:{3,4,6,7}:{(122,1),(124,1),(185,1),(186,1),(219,1)}
       156:{3,5,7}:{(122,1),(123,1),(125,1),(186,1)}
       157:{3,5,6}:{(123,1),(126,1),(184,1),(186,1),(187,1)}
       158:{1,2,5,7}:{(124,1),(127,1),(130,1),(185,1),(188,1),(228,1),(229,1)}
       159:{1,2,4,6}:{(125,1),(128,1),(131,1),(174,1),(180,1),(186,1),(188,1),(211,1),(214,1),(219,1)}
       160:{1,2,4,5,7}:{(126,1),(129,1),(132,1),(175,1),(181,1),(187,1),(189,1),(212,1),(215,1),(228,1),(229,1),(230,1)}
       161:{2,5,6}:{(127,1),(128,1),(134,1)}
       162:{2,4,6,7}:{(128,1),(129,1),(135,1),(176,1),(190,1)}
       163:{1,5,6}:{(130,1),(131,1),(134,1)}
       164:{1,4,6,7}:{(131,1),(132,1),(135,1),(182,1),(191,1)}
       165:{4,5,6}:{(133,1),(134,1),(219,1)}
       166:{3,5,6,7}:{(134,1),(135,1),(190,1),(191,1),(192,1)}
       167:{1,3,6}:{(136,1),(137,1),(193,1)}
       168:{1,2,4,7}:{(137,1),(138,1),(175,1),(193,1),(212,1)}
       169:{2,3,6}:{(139,1),(140,1),(194,1)}
       170:{1,2,4,7}:{(140,1),(141,1),(181,1),(194,1),(215,1)}
       171:{1,4,5}:{(143,1),(154,1),(196,1)}
       172:{1,3,5,7}:{(142,1),(143,1),(144,1),(156,1),(195,1),(197,1)}
       173:{1,3,5,6}:{(143,1),(145,1),(157,1),(167,1),(196,1),(197,1),(198,1),(221,1)}
       174:{1,2,6}:{(144,1),(146,1),(197,1)}
       175:{1,2,5,7}:{(145,1),(147,1),(168,1),(198,1),(199,1)}
       176:{2,3,6,7}:{(146,1),(147,1),(162,1),(199,1),(209,1)}
       177:{2,4,5}:{(149,1),(154,1),(201,1)}
       178:{2,3,5,7}:{(148,1),(149,1),(150,1),(156,1),(200,1),(202,1)}
       179:{2,3,5,6}:{(149,1),(151,1),(157,1),(169,1),(201,1),(202,1),(203,1),(223,1)}
       180:{1,2,6}:{(150,1),(152,1),(202,1)}
       181:{1,2,5,7}:{(151,1),(153,1),(170,1),(203,1),(204,1)}
       182:{1,3,6,7}:{(152,1),(153,1),(164,1),(204,1),(209,1)}
       183:{3,4,5,7}:{(154,1),(156,1),(195,1),(200,1),(205,1),(206,1),(207,1),(226,1)}
       184:{3,4,6}:{(154,1),(157,1),(196,1),(201,1),(206,1)}
       185:{3,5,7}:{(155,1),(158,1),(207,1),(208,1)}
       186:{3,6}:{(156,1),(159,1)}
       187:{3,5,7}:{(157,1),(160,1),(206,1),(209,1)}
       188:{1,2,5,6}:{(158,1),(159,1),(161,1),(163,1),(208,1),(221,1),(223,1)}
       189:{1,2,4,6,7}:{(159,1),(160,1),(162,1),(164,1),(199,1),(204,1),(209,1),(210,1),(222,1),(224,1),(227,1)}
       190:{2,5,6,7}:{(161,1),(162,1),(166,1)}
       191:{1,5,6,7}:{(163,1),(164,1),(166,1)}
       192:{4,5,6,7}:{(165,1),(166,1),(227,1)}
       193:{1,3,7}:{(167,1),(168,1)}
       194:{2,3,7}:{(169,1),(170,1)}
       195:{1,4,5,7}:{(171,1),(172,1),(183,1),(211,1),(212,1),(228,1)}
       196:{1,4,6}:{(171,1),(173,1),(184,1),(212,1)}
       197:{1,3,6}:{(172,1),(174,1),(186,1),(211,1)}
       198:{1,3,5,7}:{(173,1),(175,1),(187,1),(193,1),(212,1),(213,1),(228,1)}
       199:{1,2,6,7}:{(174,1),(175,1),(176,1),(213,1)}
       200:{2,4,5,7}:{(177,1),(178,1),(183,1),(214,1),(215,1),(229,1)}
       201:{2,4,6}:{(177,1),(179,1),(184,1),(215,1)}
       202:{2,3,6}:{(178,1),(180,1),(186,1),(214,1)}
       203:{2,3,5,7}:{(179,1),(181,1),(187,1),(194,1),(215,1),(216,1),(229,1)}
       204:{1,2,6,7}:{(180,1),(181,1),(182,1),(216,1)}
       205:{3,4,6}:{(183,1),(186,1),(211,1),(214,1),(217,1),(219,1)}
       206:{3,4,7}:{(184,1),(187,1),(212,1),(215,1)}
       207:{4,5,7}:{(185,1),(219,1)}
       208:{3,5,6}:{(185,1),(186,1),(188,1),(219,1)}
       209:{3,6,7}:{(186,1),(187,1),(189,1)}
       210:{1,2,5,6,7}:{(188,1),(189,1),(190,1),(191,1),(220,1),(228,1),(229,1)}
       211:{1,4,6}:{(195,1),(197,1),(205,1),(221,1)}
       212:{1,4,7}:{(196,1),(198,1),(206,1)}
       213:{1,3,6,7}:{(197,1),(198,1),(199,1),(209,1),(222,1)}
       214:{2,4,6}:{(200,1),(202,1),(205,1),(223,1)}
       215:{2,4,7}:{(201,1),(203,1),(206,1)}
       216:{2,3,6,7}:{(202,1),(203,1),(204,1),(209,1),(224,1)}
       217:{3,5,6}:{(205,1),(221,1),(223,1),(225,1),(226,1)}
       218:{3,4,6,7}:{(205,1),(206,1),(209,1),(222,1),(224,1),(226,1),(227,1)}
       219:{4,6}:{(207,1),(208,1)}
       220:{3,5,6,7}:{(208,1),(209,1),(210,1),(226,1),(227,1)}
       221:{1,5,6}:{(211,1),(217,1),(228,1)}
       222:{1,4,6,7}:{(211,1),(212,1),(213,1),(218,1),(228,1)}
       223:{2,5,6}:{(214,1),(217,1),(229,1)}
       224:{2,4,6,7}:{(214,1),(215,1),(216,1),(218,1),(229,1)}
       225:{4,5,6}:{(217,1),(219,1),(230,1)}
       226:{3,5,7}:{(217,1),(218,1),(228,1),(229,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(226,1)}
       229:{2,5,7}:{(223,1),(224,1),(226,1)}
       230:{4,5,7}:{(225,1),(226,1),(227,1)}

 927 :   0:{4,5,6,7}:{(1,1),(29,1),(208,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(4,1),(219,1)}
         2:{3,4,6,7}:{(1,1),(6,1),(7,1),(8,1),(28,1),(29,1),(206,1)}
         3:{1,5,6,7}:{(1,1),(7,1),(224,1)}
         4:{2,5,6,7}:{(1,1),(8,1),(226,1)}
         5:{3,4,5,6}:{(6,1),(10,1),(11,1),(34,1),(62,1),(172,1),(206,1)}
         6:{3,4,5,7}:{(2,1),(5,1),(12,1),(13,1),(41,1),(45,1)}
         7:{1,4,6,7}:{(2,1),(3,1),(12,1),(14,1),(215,1)}
         8:{2,4,6,7}:{(2,1),(4,1),(13,1),(15,1),(217,1)}
         9:{1,2,5,6,7}:{(3,1),(4,1),(16,1),(17,1),(80,1),(81,1),(134,1)}
        10:{1,4,5,6}:{(5,1),(12,1),(18,1),(190,1),(215,1)}
        11:{2,4,5,6}:{(5,1),(13,1),(19,1),(193,1),(217,1)}
        12:{1,4,5,7}:{(6,1),(7,1),(10,1),(23,1)}
        13:{2,4,5,7}:{(6,1),(8,1),(11,1),(24,1)}
        14:{1,3,6,7}:{(7,1),(23,1),(26,1),(28,1),(201,1)}
        15:{2,3,6,7}:{(8,1),(24,1),(27,1),(28,1),(204,1)}
        16:{1,2,4,6,7}:{(7,1),(8,1),(9,1),(25,1),(26,1),(27,1),(28,1),(29,1),(59,1),(60,1),(160,1)}
        17:{3,5,6,7}:{(9,1),(28,1),(29,1),(61,1),(164,1)}
        18:{1,3,5,6}:{(10,1),(23,1),(30,1),(32,1),(34,1),(166,1),(201,1)}
        19:{2,3,5,6}:{(11,1),(24,1),(31,1),(33,1),(34,1),(169,1),(204,1)}
        20:{1,2,4,5,6}:{(10,1),(11,1),(25,1),(32,1),(33,1),(34,1),(62,1),(66,1),(67,1),(106,1),(107,1),(114,1),(160,1)}
        21:{1,3,4,5}:{(30,1),(35,1),(68,1),(118,1),(166,1)}
        22:{2,3,4,5}:{(31,1),(36,1),(68,1),(121,1),(169,1)}
        23:{1,3,5,7}:{(12,1),(14,1),(18,1),(37,1),(39,1),(41,1)}
        24:{2,3,5,7}:{(13,1),(15,1),(19,1),(38,1),(40,1),(41,1)}
        25:{1,2,4,5,7}:{(12,1),(13,1),(16,1),(20,1),(39,1),(40,1),(41,1),(45,1),(76,1),(77,1),(80,1),(81,1)}
        26:{1,2,6,7}:{(14,1),(39,1),(42,1),(180,1)}
        27:{1,2,6,7}:{(15,1),(40,1),(43,1),(183,1)}
        28:{3,6,7}:{(16,1),(41,1),(186,1)}
        29:{4,6,7}:{(17,1),(45,1),(188,1)}
        30:{1,3,4,6}:{(18,1),(21,1),(37,1),(46,1),(50,1)}
        31:{2,3,4,6}:{(19,1),(22,1),(38,1),(47,1),(50,1)}
        32:{1,2,5,6}:{(18,1),(39,1),(46,1),(48,1),(138,1),(180,1)}
        33:{1,2,5,6}:{(19,1),(40,1),(47,1),(49,1),(141,1),(183,1)}
        34:{3,5,6}:{(20,1),(41,1),(50,1),(143,1),(186,1)}
        35:{1,2,4,5}:{(21,1),(46,1),(51,1),(89,1),(92,1),(138,1)}
        36:{1,2,4,5}:{(22,1),(47,1),(52,1),(90,1),(94,1),(141,1)}
        37:{1,3,4,7}:{(23,1),(30,1),(53,1),(57,1)}
        38:{2,3,4,7}:{(24,1),(31,1),(54,1),(57,1)}
        39:{1,2,5,7}:{(23,1),(26,1),(32,1),(53,1),(55,1)}
        40:{1,2,5,7}:{(24,1),(27,1),(33,1),(54,1),(56,1)}
        41:{3,5,7}:{(25,1),(28,1),(34,1),(57,1)}
        42:{2,3,6,7}:{(26,1),(28,1),(55,1),(59,1),(155,1)}
        43:{1,3,6,7}:{(27,1),(28,1),(56,1),(60,1),(158,1)}
        44:{3,4,6,7}:{(28,1),(29,1),(57,1),(59,1),(60,1),(61,1),(103,1)}
        45:{4,5,7}:{(29,1),(61,1),(62,1)}
        46:{1,2,4,6}:{(30,1),(32,1),(35,1),(53,1),(63,1),(66,1)}
        47:{1,2,4,6}:{(31,1),(33,1),(36,1),(54,1),(64,1),(67,1)}
        48:{2,3,5,6}:{(32,1),(34,1),(55,1),(63,1),(66,1),(106,1),(110,1),(155,1)}
        49:{1,3,5,6}:{(33,1),(34,1),(56,1),(64,1),(67,1),(107,1),(112,1),(158,1)}
        50:{3,4,6}:{(34,1),(57,1),(66,1),(67,1),(68,1)}
        51:{2,3,5}:{(35,1),(63,1),(70,1)}
        52:{1,3,5}:{(36,1),(64,1),(72,1)}
        53:{1,2,4,7}:{(37,1),(39,1),(46,1),(73,1),(76,1)}
        54:{1,2,4,7}:{(38,1),(40,1),(47,1),(74,1),(77,1)}
        55:{2,3,5,7}:{(39,1),(41,1),(42,1),(48,1),(73,1),(76,1),(80,1)}
        56:{1,3,5,7}:{(40,1),(41,1),(43,1),(49,1),(74,1),(77,1),(81,1)}
        57:{3,4,7}:{(41,1),(50,1),(76,1),(77,1)}
        58:{1,2,3,6,7}:{(42,1),(43,1),(75,1),(79,1),(180,1),(183,1),(186,1),(216,1),(218,1)}
        59:{2,4,6,7}:{(42,1),(44,1),(76,1),(80,1),(130,1)}
        60:{1,4,6,7}:{(43,1),(44,1),(77,1),(81,1),(131,1)}
        61:{3,5,7}:{(44,1),(45,1),(80,1),(81,1),(82,1)}
        62:{4,5,6}:{(45,1),(82,1),(188,1)}
        63:{2,3,6}:{(46,1),(51,1),(73,1)}
        64:{1,3,6}:{(47,1),(52,1),(74,1)}
        65:{1,2,3,5,6}:{(48,1),(49,1),(75,1),(84,1),(86,1),(88,1),(134,1),(138,1),(141,1),(143,1),(180,1),(183,1),(186,1),(191,1),(194,1)}
        66:{2,4,6}:{(48,1),(50,1),(76,1),(89,1)}
        67:{1,4,6}:{(49,1),(50,1),(77,1),(90,1)}
        68:{3,4,5}:{(50,1),(89,1),(90,1),(143,1)}
        69:{1,2,3,5}:{(51,1),(84,1),(92,1),(138,1),(147,1)}
        70:{2,3,4}:{(51,1),(92,1)}
        71:{1,2,3,5}:{(52,1),(86,1),(94,1),(141,1),(150,1)}
        72:{1,3,4}:{(52,1),(94,1)}
        73:{2,3,7}:{(53,1),(63,1)}
        74:{1,3,7}:{(54,1),(64,1)}
        75:{1,2,3,5,7}:{(55,1),(56,1),(58,1),(65,1),(96,1),(98,1),(100,1),(105,1),(154,1),(157,1),(159,1),(211,1),(213,1)}
        76:{2,4,7}:{(55,1),(57,1),(66,1)}
        77:{1,4,7}:{(56,1),(57,1),(67,1)}
        78:{3,4,5,7}:{(57,1),(61,1),(68,1),(101,1),(102,1),(103,1),(159,1),(163,1)}
        79:{1,2,4,6,7}:{(58,1),(59,1),(60,1),(100,1),(104,1),(105,1),(160,1),(225,1),(227,1)}
        80:{2,5,7}:{(59,1),(61,1),(106,1)}
        81:{1,5,7}:{(60,1),(61,1),(107,1)}
        82:{3,5,6}:{(61,1),(62,1),(103,1),(106,1),(107,1)}
        83:{4,5,6,7}:{(62,1),(108,1),(209,1)}
        84:{1,2,3,6}:{(63,1),(69,1),(96,1),(109,1),(175,1)}
        85:{2,3,4,6}:{(63,1),(66,1),(70,1),(97,1),(109,1),(110,1),(113,1),(155,1)}
        86:{1,2,3,6}:{(64,1),(71,1),(98,1),(111,1),(177,1)}
        87:{1,3,4,6}:{(64,1),(67,1),(72,1),(99,1),(111,1),(112,1),(113,1),(158,1)}
        88:{1,2,4,6}:{(65,1),(66,1),(67,1),(100,1),(113,1),(114,1),(210,1),(212,1)}
        89:{2,4,5}:{(66,1),(68,1),(110,1)}
        90:{1,4,5}:{(67,1),(68,1),(112,1)}
        91:{3,4,5,6}:{(68,1),(103,1),(115,1),(116,1),(117,1),(173,1),(208,1)}
        92:{1,2,4}:{(69,1),(70,1),(118,1)}
        93:{2,3,4,5}:{(70,1),(110,1),(119,1),(120,1),(172,1)}
        94:{1,2,4}:{(71,1),(72,1),(121,1)}
        95:{1,3,4,5}:{(72,1),(112,1),(122,1),(123,1),(172,1)}
        96:{1,2,3,7}:{(73,1),(84,1),(124,1),(198,1)}
        97:{2,3,4,7}:{(73,1),(76,1),(85,1),(124,1),(125,1),(128,1)}
        98:{1,2,3,7}:{(74,1),(86,1),(126,1),(199,1)}
        99:{1,3,4,7}:{(74,1),(77,1),(87,1),(126,1),(127,1),(128,1)}
       100:{1,2,4,7}:{(75,1),(76,1),(77,1),(88,1),(128,1),(222,1),(223,1)}
       101:{2,4,5,7}:{(76,1),(78,1),(80,1),(89,1),(125,1),(130,1)}
       102:{1,4,5,7}:{(77,1),(78,1),(81,1),(90,1),(127,1),(131,1)}
       103:{3,4,6}:{(78,1),(82,1),(130,1),(131,1),(186,1),(188,1)}
       104:{3,4,6,7}:{(79,1),(128,1),(133,1),(186,1),(188,1)}
       105:{1,2,5,7}:{(79,1),(80,1),(81,1),(133,1),(134,1),(229,1),(230,1)}
       106:{2,5,6}:{(80,1),(82,1),(130,1)}
       107:{1,5,6}:{(81,1),(82,1),(131,1)}
       108:{3,5,6,7}:{(82,1),(83,1),(132,1),(135,1),(136,1)}
       109:{1,2,4,6}:{(84,1),(85,1),(92,1),(124,1),(137,1),(138,1),(180,1)}
       110:{2,3,5}:{(85,1),(89,1),(138,1),(143,1)}
       111:{1,2,4,6}:{(86,1),(87,1),(94,1),(126,1),(140,1),(141,1),(183,1)}
       112:{1,3,5}:{(87,1),(90,1),(141,1),(143,1)}
       113:{3,4,6}:{(88,1),(128,1),(143,1),(186,1)}
       114:{1,2,4,5}:{(88,1),(89,1),(90,1),(138,1),(141,1),(143,1),(190,1),(193,1)}
       115:{2,4,5,6}:{(89,1),(91,1),(130,1),(139,1),(145,1)}
       116:{1,4,5,6}:{(90,1),(91,1),(131,1),(142,1),(146,1)}
       117:{3,4,5,7}:{(91,1),(132,1),(145,1),(146,1),(197,1),(221,1)}
       118:{1,3,4}:{(92,1),(147,1)}
       119:{1,2,4,5}:{(92,1),(93,1),(138,1),(147,1),(148,1),(190,1)}
       120:{2,3,4,6}:{(93,1),(139,1),(148,1),(149,1),(196,1)}
       121:{2,3,4}:{(94,1),(150,1)}
       122:{1,2,4,5}:{(94,1),(95,1),(141,1),(150,1),(151,1),(193,1)}
       123:{1,3,4,6}:{(95,1),(142,1),(151,1),(152,1),(196,1)}
       124:{1,2,4,7}:{(96,1),(97,1),(109,1),(153,1),(154,1)}
       125:{2,3,5,7}:{(97,1),(101,1),(110,1),(154,1),(155,1),(159,1)}
       126:{1,2,4,7}:{(98,1),(99,1),(111,1),(156,1),(157,1)}
       127:{1,3,5,7}:{(99,1),(102,1),(112,1),(157,1),(158,1),(159,1)}
       128:{3,4,7}:{(100,1),(113,1),(159,1)}
       129:{1,2,4,5,7}:{(100,1),(101,1),(102,1),(105,1),(114,1),(154,1),(157,1),(159,1),(160,1),(163,1),(200,1),(203,1)}
       130:{2,4,6}:{(101,1),(103,1),(106,1),(155,1)}
       131:{1,4,6}:{(102,1),(103,1),(107,1),(158,1)}
       132:{3,4,6,7}:{(103,1),(108,1),(117,1),(161,1),(162,1),(207,1),(209,1)}
       133:{3,5,7}:{(104,1),(105,1),(163,1),(164,1)}
       134:{1,2,5,6}:{(105,1),(106,1),(107,1),(160,1),(164,1),(224,1),(226,1)}
       135:{2,5,6,7}:{(106,1),(108,1),(161,1)}
       136:{1,5,6,7}:{(107,1),(108,1),(162,1)}
       137:{1,3,4,6}:{(109,1),(113,1),(118,1),(153,1),(166,1),(175,1),(201,1),(210,1)}
       138:{1,2,5}:{(109,1),(110,1),(166,1)}
       139:{2,3,5,6}:{(110,1),(115,1),(120,1),(155,1),(167,1),(168,1),(173,1)}
       140:{2,3,4,6}:{(111,1),(113,1),(121,1),(156,1),(169,1),(177,1),(204,1),(212,1)}
       141:{1,2,5}:{(111,1),(112,1),(169,1)}
       142:{1,3,5,6}:{(112,1),(116,1),(123,1),(158,1),(170,1),(171,1),(173,1)}
       143:{3,5}:{(113,1),(114,1)}
       144:{1,2,4,5,6}:{(114,1),(115,1),(116,1),(160,1),(167,1),(170,1),(173,1),(174,1),(208,1),(210,1),(212,1),(224,1),(226,1)}
       145:{2,4,5,7}:{(115,1),(117,1),(161,1),(168,1)}
       146:{1,4,5,7}:{(116,1),(117,1),(162,1),(171,1)}
       147:{1,3,5}:{(118,1),(119,1),(175,1)}
       148:{1,2,4,6}:{(119,1),(120,1),(167,1),(175,1),(176,1),(210,1)}
       149:{2,3,4,7}:{(120,1),(168,1),(176,1),(214,1)}
       150:{2,3,5}:{(121,1),(122,1),(177,1)}
       151:{1,2,4,6}:{(122,1),(123,1),(170,1),(177,1),(178,1),(212,1)}
       152:{1,3,4,7}:{(123,1),(171,1),(178,1),(214,1)}
       153:{1,3,4,7}:{(124,1),(128,1),(137,1),(179,1),(198,1),(222,1)}
       154:{1,2,5,7}:{(124,1),(125,1),(138,1),(179,1),(180,1)}
       155:{2,3,6}:{(125,1),(130,1),(180,1),(186,1)}
       156:{2,3,4,7}:{(126,1),(128,1),(140,1),(182,1),(199,1),(223,1)}
       157:{1,2,5,7}:{(126,1),(127,1),(141,1),(182,1),(183,1)}
       158:{1,3,6}:{(127,1),(131,1),(183,1),(186,1)}
       159:{3,5,7}:{(128,1),(129,1),(143,1),(186,1)}
       160:{1,2,4,6}:{(129,1),(130,1),(131,1),(134,1),(180,1),(183,1),(186,1),(188,1),(215,1),(217,1)}
       161:{2,4,6,7}:{(130,1),(132,1),(135,1),(145,1),(181,1)}
       162:{1,4,6,7}:{(131,1),(132,1),(136,1),(146,1),(184,1)}
       163:{4,5,7}:{(133,1),(188,1)}
       164:{3,5,6}:{(133,1),(134,1),(186,1),(188,1)}
       165:{1,2,5,6,7}:{(134,1),(135,1),(136,1),(187,1),(189,1),(229,1),(230,1)}
       166:{1,3,5}:{(137,1),(138,1),(143,1),(190,1)}
       167:{1,2,5,6}:{(138,1),(139,1),(148,1),(180,1),(191,1),(192,1)}
       168:{2,3,5,7}:{(139,1),(145,1),(149,1),(181,1),(192,1),(197,1)}
       169:{2,3,5}:{(140,1),(141,1),(143,1),(193,1)}
       170:{1,2,5,6}:{(141,1),(142,1),(151,1),(183,1),(194,1),(195,1)}
       171:{1,3,5,7}:{(142,1),(146,1),(152,1),(184,1),(195,1),(197,1)}
       172:{3,4,5}:{(143,1),(190,1),(193,1),(196,1)}
       173:{3,5,6}:{(143,1),(144,1),(186,1),(196,1),(197,1)}
       174:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(187,1),(192,1),(195,1),(197,1),(221,1),(222,1),(223,1),(229,1),(230,1)}
       175:{1,3,6}:{(147,1),(148,1),(198,1)}
       176:{1,2,4,7}:{(148,1),(149,1),(192,1),(198,1),(222,1)}
       177:{2,3,6}:{(150,1),(151,1),(199,1)}
       178:{1,2,4,7}:{(151,1),(152,1),(195,1),(199,1),(223,1)}
       179:{1,3,5,7}:{(153,1),(154,1),(159,1),(166,1),(200,1),(201,1)}
       180:{1,2,6}:{(154,1),(155,1),(201,1)}
       181:{2,3,6,7}:{(155,1),(161,1),(168,1),(202,1),(207,1)}
       182:{2,3,5,7}:{(156,1),(157,1),(159,1),(169,1),(203,1),(204,1)}
       183:{1,2,6}:{(157,1),(158,1),(204,1)}
       184:{1,3,6,7}:{(158,1),(162,1),(171,1),(205,1),(207,1)}
       185:{3,4,5,7}:{(159,1),(163,1),(172,1),(200,1),(203,1),(206,1),(214,1),(228,1)}
       186:{3,6}:{(159,1),(160,1)}
       187:{1,2,4,6,7}:{(160,1),(161,1),(162,1),(165,1),(174,1),(202,1),(205,1),(207,1),(209,1),(225,1),(227,1)}
       188:{4,6}:{(163,1),(164,1)}
       189:{3,5,6,7}:{(164,1),(165,1),(207,1),(209,1),(228,1)}
       190:{1,4,5}:{(166,1),(172,1),(210,1)}
       191:{1,3,5,6}:{(166,1),(167,1),(173,1),(175,1),(201,1),(210,1),(211,1),(224,1)}
       192:{1,2,5,7}:{(167,1),(168,1),(176,1),(202,1),(211,1)}
       193:{2,4,5}:{(169,1),(172,1),(212,1)}
       194:{2,3,5,6}:{(169,1),(170,1),(173,1),(177,1),(204,1),(212,1),(213,1),(226,1)}
       195:{1,2,5,7}:{(170,1),(171,1),(178,1),(205,1),(213,1)}
       196:{3,4,6}:{(172,1),(173,1),(210,1),(212,1),(214,1)}
       197:{3,5,7}:{(173,1),(174,1),(207,1),(214,1)}
       198:{1,3,7}:{(175,1),(176,1)}
       199:{2,3,7}:{(177,1),(178,1)}
       200:{1,4,5,7}:{(179,1),(185,1),(190,1),(215,1),(222,1),(229,1)}
       201:{1,3,6}:{(179,1),(180,1),(186,1),(215,1)}
       202:{1,2,6,7}:{(180,1),(181,1),(192,1),(216,1)}
       203:{2,4,5,7}:{(182,1),(185,1),(193,1),(217,1),(223,1),(230,1)}
       204:{2,3,6}:{(182,1),(183,1),(186,1),(217,1)}
       205:{1,2,6,7}:{(183,1),(184,1),(195,1),(218,1)}
       206:{3,4,6}:{(185,1),(186,1),(188,1),(215,1),(217,1),(219,1)}
       207:{3,6,7}:{(186,1),(187,1),(197,1)}
       208:{4,5,6}:{(188,1),(219,1),(221,1)}
       209:{4,6,7}:{(188,1),(189,1),(221,1)}
       210:{1,4,6}:{(190,1),(191,1),(196,1),(222,1)}
       211:{1,3,5,7}:{(191,1),(192,1),(197,1),(198,1),(216,1),(222,1),(229,1)}
       212:{2,4,6}:{(193,1),(194,1),(196,1),(223,1)}
       213:{2,3,5,7}:{(194,1),(195,1),(197,1),(199,1),(218,1),(223,1),(230,1)}
       214:{3,4,7}:{(196,1),(197,1),(222,1),(223,1)}
       215:{1,4,6}:{(200,1),(201,1),(206,1),(224,1)}
       216:{1,3,6,7}:{(201,1),(202,1),(207,1),(211,1),(225,1)}
       217:{2,4,6}:{(203,1),(204,1),(206,1),(226,1)}
       218:{2,3,6,7}:{(204,1),(205,1),(207,1),(213,1),(227,1)}
       219:{3,5,6}:{(206,1),(208,1),(224,1),(226,1),(228,1)}
       220:{3,4,6,7}:{(206,1),(207,1),(209,1),(214,1),(225,1),(227,1),(228,1)}
       221:{4,5,7}:{(208,1),(209,1),(228,1)}
       222:{1,4,7}:{(210,1),(211,1),(214,1)}
       223:{2,4,7}:{(212,1),(213,1),(214,1)}
       224:{1,5,6}:{(215,1),(219,1),(229,1)}
       225:{1,4,6,7}:{(215,1),(216,1),(220,1),(222,1),(229,1)}
       226:{2,5,6}:{(217,1),(219,1),(230,1)}
       227:{2,4,6,7}:{(217,1),(218,1),(220,1),(223,1),(230,1)}
       228:{3,5,7}:{(219,1),(220,1),(221,1),(229,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(228,1)}
       230:{2,5,7}:{(226,1),(227,1),(228,1)}

 928 :  0:{1,2,6,7}:{(3,1),(4,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(41,1),(42,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(19,1),(23,1),(24,1),(25,1),(41,1),(42,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{1,2,5,7}:{(0,1),(1,1),(9,1),(10,1),(46,1),(47,1)}
        5:{3,5,6}:{(1,1),(9,1),(11,1),(12,1),(26,1),(31,1),(45,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(12,1),(32,1),(33,1),(34,1)}
        7:{3,5}:{(2,1),(12,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(17,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(17,1),(18,1)}
       10:{1,2,4,7}:{(4,1),(6,1),(17,1),(18,1),(38,1),(39,1),(40,1)}
       11:{4,6}:{(5,1),(17,1),(19,1)}
       12:{3,6}:{(6,1),(7,1),(18,1)}
       13:{3,4}:{(7,1),(23,1),(24,1),(44,1)}
       14:{1,3,5}:{(7,1),(21,1),(23,1),(25,1),(41,1),(44,1),(55,1)}
       15:{2,3,5}:{(7,1),(22,1),(24,1),(25,1),(42,1),(44,1),(55,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,7}:{(9,1),(11,1)}
       18:{3,7}:{(10,1),(12,1)}
       19:{4,5}:{(11,1),(31,1),(58,1)}
       20:{3,4,6}:{(11,1),(12,1),(13,1),(28,1),(31,1),(32,1),(33,1),(45,1),(50,1),(58,1),(61,1)}
       21:{1,3,6}:{(12,1),(14,1),(29,1),(32,1),(34,1),(50,1)}
       22:{2,3,6}:{(12,1),(15,1),(30,1),(33,1),(34,1),(50,1)}
       23:{1,4}:{(13,1),(14,1),(58,1)}
       24:{2,4}:{(13,1),(15,1),(58,1)}
       25:{1,2,5}:{(14,1),(15,1),(34,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(19,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,4,7}:{(17,1),(18,1),(20,1),(37,1),(38,1),(39,1),(54,1),(60,1)}
       29:{1,3,7}:{(18,1),(21,1),(38,1),(40,1),(54,1)}
       30:{2,3,7}:{(18,1),(22,1),(39,1),(40,1),(54,1)}
       31:{3,5}:{(19,1),(20,1),(41,1),(42,1),(62,1)}
       32:{1,4,6}:{(20,1),(21,1),(23,1),(38,1),(41,1),(51,1)}
       33:{2,4,6}:{(20,1),(22,1),(24,1),(39,1),(42,1),(52,1)}
       34:{1,2,6}:{(21,1),(22,1),(25,1),(40,1)}
       35:{1,2,4}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(31,1),(45,1),(46,1),(47,1)}
       38:{1,4,7}:{(28,1),(29,1),(32,1),(46,1)}
       39:{2,4,7}:{(28,1),(30,1),(33,1),(47,1)}
       40:{1,2,7}:{(29,1),(30,1),(34,1)}
       41:{1,5}:{(31,1),(32,1)}
       42:{2,5}:{(31,1),(33,1)}
       43:{1,2,4,6}:{(32,1),(33,1),(34,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       44:{3}:{(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(41,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(42,1),(52,1)}
       48:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(53,1),(54,1),(60,1)}
       49:{1,2,5}:{(41,1),(42,1),(43,1),(55,1),(62,1)}
       50:{3,6}:{(43,1),(44,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,7}:{(48,1),(50,1)}
       55:{3,5}:{(49,1),(50,1),(58,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(55,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

 929 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(16,1),(17,1),(20,1),(21,1),(36,1),(68,1),(95,1),(96,1),(103,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(118,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(18,1),(19,1),(20,1),(130,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(15,1),(68,1),(97,1),(129,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(26,1),(27,1),(28,1)}
         5:{3,5,7}:{(2,1),(3,1),(9,1),(136,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(58,1),(62,1),(84,1),(92,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(58,1),(62,1),(83,1),(91,1),(111,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(34,1),(35,1),(36,1),(65,1),(102,1)}
         9:{3,5,6}:{(4,1),(5,1),(15,1)}
        10:{3,4,5,7}:{(5,1),(15,1),(18,1),(19,1),(45,1),(97,1),(106,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1),(45,1),(109,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(45,1),(108,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(41,1),(46,1),(107,1)}
        14:{3,5,6,7}:{(8,1),(9,1),(22,1),(82,1),(117,1)}
        15:{3,4,6}:{(9,1),(10,1),(26,1),(27,1),(58,1)}
        16:{1,3,5,6}:{(9,1),(11,1),(26,1),(28,1),(58,1)}
        17:{2,3,5,6}:{(9,1),(12,1),(27,1),(28,1),(58,1)}
        18:{1,4,5,7}:{(10,1),(11,1),(26,1),(112,1),(120,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(27,1),(111,1),(119,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(28,1),(121,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(58,1),(83,1),(84,1),(90,1)}
        22:{3,4,6,7}:{(14,1),(15,1),(33,1),(34,1),(35,1),(68,1),(97,1),(125,1)}
        23:{1,3,5,6,7}:{(14,1),(16,1),(34,1),(36,1),(63,1),(68,1),(96,1),(128,1)}
        24:{2,3,5,6,7}:{(14,1),(17,1),(35,1),(36,1),(64,1),(68,1),(95,1),(127,1)}
        25:{3,4,5,6}:{(15,1),(33,1),(37,1),(38,1),(72,1),(106,1),(125,1)}
        26:{1,4,6}:{(15,1),(16,1),(18,1)}
        27:{2,4,6}:{(15,1),(17,1),(19,1)}
        28:{1,2,5,6}:{(16,1),(17,1),(20,1),(41,1)}
        29:{1,3,4,5,7}:{(18,1),(39,1),(43,1),(45,1),(63,1),(79,1),(97,1),(106,1),(109,1),(124,1),(137,1)}
        30:{2,3,4,5,7}:{(19,1),(40,1),(44,1),(45,1),(64,1),(78,1),(97,1),(106,1),(108,1),(123,1),(137,1)}
        31:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(41,1),(45,1),(46,1),(76,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(42,1),(45,1),(46,1),(95,1),(96,1)}
        33:{3,4,5,7}:{(22,1),(25,1),(47,1),(48,1),(82,1)}
        34:{1,4,6,7}:{(22,1),(23,1),(26,1),(47,1),(112,1),(134,1)}
        35:{2,4,6,7}:{(22,1),(24,1),(27,1),(48,1),(111,1),(133,1)}
        36:{1,2,5,6,7}:{(23,1),(24,1),(28,1),(51,1),(80,1),(81,1),(135,1)}
        37:{1,4,5,6}:{(25,1),(26,1),(47,1),(53,1),(120,1),(134,1)}
        38:{2,4,5,6}:{(25,1),(27,1),(48,1),(54,1),(119,1),(133,1)}
        39:{1,3,4,6}:{(26,1),(29,1),(53,1),(56,1),(58,1),(89,1),(134,1),(139,1)}
        40:{2,3,4,6}:{(27,1),(30,1),(54,1),(57,1),(58,1),(89,1),(133,1),(139,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(58,1)}
        42:{1,2,3,5,6}:{(28,1),(32,1),(58,1),(59,1),(87,1),(88,1),(90,1),(93,1),(121,1)}
        43:{1,2,4,5,7}:{(29,1),(56,1),(60,1),(80,1),(94,1),(111,1),(119,1),(121,1)}
        44:{1,2,4,5,7}:{(30,1),(57,1),(61,1),(81,1),(94,1),(112,1),(120,1),(121,1)}
        45:{3,5,7}:{(31,1),(58,1),(62,1),(93,1)}
        46:{1,2,4,7}:{(32,1),(59,1),(62,1),(111,1),(112,1)}
        47:{1,4,5,7}:{(33,1),(34,1),(37,1),(63,1)}
        48:{2,4,5,7}:{(33,1),(35,1),(38,1),(64,1)}
        49:{1,3,4,6,7}:{(34,1),(39,1),(63,1),(66,1),(68,1),(97,1)}
        50:{2,3,4,6,7}:{(35,1),(40,1),(64,1),(67,1),(68,1),(97,1)}
        51:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(41,1),(65,1),(68,1),(138,1)}
        52:{1,2,3,5,6,7}:{(36,1),(42,1),(68,1),(69,1),(95,1),(96,1),(98,1),(101,1),(126,1),(127,1),(128,1)}
        53:{1,3,5,6}:{(37,1),(39,1),(63,1),(70,1),(72,1),(109,1)}
        54:{2,3,5,6}:{(38,1),(40,1),(64,1),(71,1),(72,1),(108,1)}
        55:{1,2,4,5,6}:{(37,1),(38,1),(41,1),(65,1),(70,1),(71,1),(72,1),(76,1),(104,1),(105,1),(130,1),(138,1)}
        56:{1,2,4,6}:{(39,1),(43,1),(70,1),(73,1),(104,1)}
        57:{1,2,4,6}:{(40,1),(44,1),(71,1),(74,1),(105,1)}
        58:{3,6}:{(41,1),(45,1)}
        59:{1,2,4,6}:{(42,1),(46,1),(75,1),(76,1),(104,1),(105,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(73,1),(78,1),(108,1),(137,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(74,1),(79,1),(109,1),(137,1)}
        62:{3,4,7}:{(45,1),(46,1),(75,1)}
        63:{1,3,5,7}:{(47,1),(49,1),(53,1),(80,1),(82,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(54,1),(81,1),(82,1)}
        65:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(55,1),(80,1),(81,1),(82,1),(111,1),(112,1)}
        66:{1,2,4,6,7}:{(49,1),(56,1),(80,1),(83,1),(111,1)}
        67:{1,2,4,6,7}:{(50,1),(57,1),(81,1),(84,1),(112,1)}
        68:{3,6,7}:{(51,1),(58,1),(82,1),(139,1)}
        69:{1,2,4,6,7}:{(52,1),(59,1),(85,1),(86,1),(111,1),(112,1),(133,1),(134,1)}
        70:{1,2,5,6}:{(53,1),(56,1),(80,1),(87,1),(121,1)}
        71:{1,2,5,6}:{(54,1),(57,1),(81,1),(88,1),(121,1)}
        72:{3,5,6}:{(55,1),(58,1),(82,1),(89,1),(93,1),(136,1),(139,1)}
        73:{2,3,6}:{(56,1),(58,1),(60,1),(139,1)}
        74:{1,3,6}:{(57,1),(58,1),(61,1),(139,1)}
        75:{3,4,6}:{(58,1),(59,1),(62,1),(93,1)}
        76:{1,2,4,5}:{(59,1),(93,1),(119,1),(120,1),(121,1)}
        77:{1,2,3,5,7}:{(60,1),(61,1),(90,1),(94,1),(121,1)}
        78:{2,3,4,7}:{(60,1),(62,1),(91,1),(94,1),(111,1),(131,1)}
        79:{1,3,4,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(131,1)}
        80:{1,2,5,7}:{(63,1),(66,1),(70,1),(95,1)}
        81:{1,2,5,7}:{(64,1),(67,1),(71,1),(96,1)}
        82:{3,5,7}:{(65,1),(68,1),(72,1),(97,1)}
        83:{2,3,6,7}:{(66,1),(68,1),(73,1),(95,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(74,1),(96,1)}
        85:{3,4,6,7}:{(68,1),(69,1),(75,1),(97,1),(101,1),(125,1)}
        86:{1,2,4,5,7}:{(69,1),(76,1),(101,1),(102,1),(123,1),(124,1),(126,1)}
        87:{2,3,5,6}:{(70,1),(72,1),(73,1),(95,1),(104,1),(108,1)}
        88:{1,3,5,6}:{(71,1),(72,1),(74,1),(96,1),(105,1),(109,1)}
        89:{3,4,6}:{(72,1),(97,1),(104,1),(105,1),(106,1)}
        90:{1,2,3,6}:{(73,1),(74,1),(77,1),(107,1)}
        91:{2,3,4,6}:{(73,1),(75,1),(78,1),(104,1),(107,1),(108,1),(129,1)}
        92:{1,3,4,6}:{(74,1),(75,1),(79,1),(105,1),(107,1),(109,1),(129,1)}
        93:{3,5}:{(75,1),(76,1)}
        94:{1,2,4,7}:{(77,1),(78,1),(79,1),(107,1)}
        95:{2,3,5,7}:{(80,1),(82,1),(83,1),(87,1),(111,1)}
        96:{1,3,5,7}:{(81,1),(82,1),(84,1),(88,1),(112,1)}
        97:{3,4,7}:{(82,1),(89,1),(111,1),(112,1)}
        98:{1,2,3,6,7}:{(83,1),(84,1),(90,1),(110,1),(114,1),(139,1)}
        99:{2,3,4,6,7}:{(83,1),(85,1),(91,1),(111,1),(114,1),(115,1),(131,1),(133,1),(139,1)}
       100:{1,3,4,6,7}:{(84,1),(85,1),(92,1),(112,1),(114,1),(116,1),(131,1),(134,1),(139,1)}
       101:{3,5,7}:{(85,1),(86,1),(93,1),(117,1)}
       102:{1,2,4,5,6}:{(86,1),(117,1),(133,1),(134,1),(135,1)}
       103:{1,2,3,5,6}:{(87,1),(88,1),(90,1),(110,1),(118,1),(121,1),(135,1),(136,1),(139,1)}
       104:{2,4,6}:{(87,1),(89,1),(111,1),(119,1)}
       105:{1,4,6}:{(88,1),(89,1),(112,1),(120,1)}
       106:{3,4,5}:{(89,1),(93,1),(119,1),(120,1),(136,1)}
       107:{1,2,4,6}:{(90,1),(91,1),(92,1),(94,1),(121,1)}
       108:{2,3,5}:{(91,1),(93,1),(119,1),(121,1),(136,1)}
       109:{1,3,5}:{(92,1),(93,1),(120,1),(121,1),(136,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(103,1),(122,1),(126,1),(137,1)}
       111:{2,4,7}:{(95,1),(97,1),(104,1)}
       112:{1,4,7}:{(96,1),(97,1),(105,1)}
       113:{3,4,5,7}:{(97,1),(101,1),(106,1),(123,1),(124,1),(125,1),(137,1)}
       114:{1,2,4,6,7}:{(98,1),(99,1),(100,1),(107,1),(122,1),(126,1),(138,1)}
       115:{2,3,5,7}:{(99,1),(101,1),(108,1),(123,1),(126,1),(127,1),(137,1)}
       116:{1,3,5,7}:{(100,1),(101,1),(109,1),(124,1),(126,1),(128,1),(137,1)}
       117:{3,5,6}:{(101,1),(102,1),(125,1)}
       118:{1,2,4,6}:{(103,1),(104,1),(105,1),(122,1),(129,1),(130,1)}
       119:{2,4,5}:{(104,1),(106,1),(108,1)}
       120:{1,4,5}:{(105,1),(106,1),(109,1)}
       121:{1,2,5}:{(107,1),(108,1),(109,1)}
       122:{1,2,4,7}:{(110,1),(111,1),(112,1),(118,1),(131,1)}
       123:{2,4,5,7}:{(111,1),(113,1),(115,1),(119,1),(133,1)}
       124:{1,4,5,7}:{(112,1),(113,1),(116,1),(120,1),(134,1)}
       125:{3,4,6}:{(113,1),(117,1),(133,1),(134,1),(139,1)}
       126:{1,2,5,7}:{(114,1),(115,1),(116,1),(121,1),(135,1)}
       127:{2,3,5,6}:{(115,1),(117,1),(133,1),(135,1),(139,1)}
       128:{1,3,5,6}:{(116,1),(117,1),(134,1),(135,1),(139,1)}
       129:{3,4,6}:{(118,1),(131,1),(136,1),(139,1)}
       130:{1,2,4,5}:{(118,1),(119,1),(120,1),(121,1),(136,1)}
       131:{3,4,7}:{(122,1),(129,1),(137,1)}
       132:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(126,1),(130,1),(137,1),(138,1)}
       133:{2,4,6}:{(123,1),(125,1),(127,1)}
       134:{1,4,6}:{(124,1),(125,1),(128,1)}
       135:{1,2,5,6}:{(126,1),(127,1),(128,1),(138,1)}
       136:{3,5}:{(129,1),(130,1)}
       137:{3,5,7}:{(131,1),(132,1),(136,1),(139,1)}
       138:{1,2,4,6}:{(132,1),(133,1),(134,1),(135,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

 930 :   0:{1,2,3,6}:{(3,1),(4,1),(5,1),(63,1),(123,1)}
         1:{2,3,4,6}:{(3,1),(6,1),(7,1),(23,1),(26,1),(30,1),(63,1),(73,1)}
         2:{1,3,4,6}:{(3,1),(8,1),(9,1),(23,1),(31,1),(35,1),(63,1),(73,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(2,1),(10,1),(11,1),(12,1),(42,1)}
         4:{1,2,3,5}:{(0,1),(10,1),(12,1),(40,1),(97,1),(102,1)}
         5:{1,2,3,7}:{(0,1),(11,1),(95,1),(149,1),(230,1)}
         6:{2,3,5}:{(1,1),(10,1),(15,1),(40,1),(106,1)}
         7:{2,3,4,7}:{(1,1),(11,1),(16,1),(45,1),(48,1),(95,1),(223,1)}
         8:{1,3,5}:{(2,1),(10,1),(18,1),(40,1),(106,1)}
         9:{1,3,4,7}:{(2,1),(11,1),(19,1),(45,1),(54,1),(95,1),(222,1)}
        10:{1,2,5}:{(3,1),(6,1),(8,1)}
        11:{1,2,4,7}:{(3,1),(5,1),(7,1),(9,1),(22,1),(228,1)}
        12:{1,2,4}:{(4,1),(23,1)}
        13:{1,2,3,5,7}:{(4,1),(5,1),(22,1),(24,1),(25,1),(68,1),(74,1),(128,1),(132,1),(178,1)}
        14:{2,3,5,6}:{(6,1),(20,1),(26,1),(27,1),(30,1),(59,1),(63,1),(80,1),(131,1)}
        15:{2,4,5}:{(6,1),(26,1),(28,1),(136,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(22,1),(29,1),(30,1),(68,1),(212,1),(226,1)}
        17:{1,3,5,6}:{(8,1),(20,1),(31,1),(32,1),(35,1),(61,1),(63,1),(86,1),(131,1)}
        18:{1,4,5}:{(8,1),(31,1),(33,1),(136,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(22,1),(34,1),(35,1),(68,1),(211,1),(225,1)}
        20:{1,2,5,6}:{(10,1),(14,1),(17,1),(38,1),(39,1),(42,1),(87,1),(90,1)}
        21:{1,2,4,5}:{(10,1),(12,1),(15,1),(18,1),(38,1),(40,1),(50,1),(56,1),(97,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(16,1),(19,1),(42,1),(224,1),(229,1)}
        23:{3,4}:{(12,1),(40,1)}
        24:{1,2,4,7}:{(12,1),(13,1),(45,1),(46,1),(194,1)}
        25:{1,2,3,6}:{(13,1),(42,1),(46,1),(100,1),(153,1)}
        26:{2,4,6}:{(14,1),(15,1),(47,1),(48,1),(156,1)}
        27:{2,3,5,7}:{(14,1),(39,1),(48,1),(49,1),(88,1),(95,1),(109,1),(152,1)}
        28:{3,4,5}:{(15,1),(40,1),(47,1),(50,1)}
        29:{2,4,5,7}:{(15,1),(16,1),(48,1),(51,1),(52,1),(109,1),(196,1),(218,1)}
        30:{2,3,6}:{(16,1),(42,1),(52,1),(100,1)}
        31:{1,4,6}:{(17,1),(18,1),(53,1),(54,1),(156,1)}
        32:{1,3,5,7}:{(17,1),(39,1),(54,1),(55,1),(91,1),(95,1),(114,1),(152,1)}
        33:{3,4,5}:{(18,1),(40,1),(53,1),(56,1)}
        34:{1,4,5,7}:{(18,1),(19,1),(54,1),(57,1),(58,1),(114,1),(197,1),(219,1)}
        35:{1,3,6}:{(19,1),(42,1),(58,1),(100,1)}
        36:{2,4,5,6}:{(26,1),(59,1),(60,1),(80,1),(140,1)}
        37:{1,4,5,6}:{(31,1),(61,1),(62,1),(86,1),(144,1)}
        38:{1,2,4,6}:{(20,1),(21,1),(26,1),(31,1),(63,1),(64,1),(75,1),(81,1),(123,1)}
        39:{1,2,5,7}:{(20,1),(27,1),(32,1),(64,1),(65,1),(117,1),(120,1)}
        40:{3,5}:{(21,1),(23,1),(63,1)}
        41:{1,2,4,5,7}:{(21,1),(22,1),(24,1),(29,1),(34,1),(64,1),(68,1),(69,1),(74,1),(78,1),(84,1),(127,1),(128,1),(136,1),(174,1),(179,1),(204,1)}
        42:{1,2,6}:{(22,1),(30,1),(35,1)}
        43:{1,3,4}:{(23,1),(66,1),(70,1)}
        44:{2,3,4}:{(23,1),(67,1),(70,1)}
        45:{3,4,7}:{(23,1),(24,1),(68,1),(73,1),(174,1),(210,1)}
        46:{1,2,4,6}:{(24,1),(25,1),(73,1),(74,1)}
        47:{3,4,6}:{(26,1),(28,1),(59,1),(63,1),(75,1),(76,1)}
        48:{2,4,7}:{(26,1),(27,1),(76,1),(174,1)}
        49:{2,3,6,7}:{(27,1),(30,1),(65,1),(77,1),(118,1),(126,1),(226,1)}
        50:{1,4,5}:{(28,1),(66,1),(75,1)}
        51:{3,4,5,7}:{(28,1),(29,1),(68,1),(76,1),(78,1),(79,1),(136,1),(138,1),(174,1),(180,1),(205,1)}
        52:{2,4,6}:{(29,1),(30,1),(79,1),(80,1)}
        53:{3,4,6}:{(31,1),(33,1),(61,1),(63,1),(81,1),(82,1)}
        54:{1,4,7}:{(31,1),(32,1),(82,1),(174,1)}
        55:{1,3,6,7}:{(32,1),(35,1),(65,1),(83,1),(121,1),(126,1),(225,1)}
        56:{2,4,5}:{(33,1),(67,1),(81,1)}
        57:{3,4,5,7}:{(33,1),(34,1),(68,1),(82,1),(84,1),(85,1),(136,1),(142,1),(174,1),(181,1),(206,1)}
        58:{1,4,6}:{(34,1),(35,1),(85,1),(86,1)}
        59:{3,5,6}:{(36,1),(47,1),(87,1),(88,1)}
        60:{2,4,5,7}:{(36,1),(48,1),(88,1),(89,1),(109,1),(162,1)}
        61:{3,5,6}:{(37,1),(53,1),(90,1),(91,1)}
        62:{1,4,5,7}:{(37,1),(54,1),(91,1),(92,1),(114,1),(165,1)}
        63:{3,6}:{(38,1),(40,1),(95,1)}
        64:{1,2,4,7}:{(38,1),(39,1),(48,1),(54,1),(95,1),(107,1),(112,1),(149,1)}
        65:{1,2,6,7}:{(39,1),(42,1),(49,1),(55,1),(145,1),(147,1),(229,1)}
        66:{1,3,5}:{(40,1),(43,1),(50,1),(93,1),(97,1)}
        67:{2,3,5}:{(40,1),(44,1),(56,1),(94,1),(97,1)}
        68:{3,5,7}:{(40,1),(41,1),(45,1),(95,1),(100,1),(106,1),(195,1),(217,1)}
        69:{1,2,4,6}:{(41,1),(42,1),(52,1),(58,1),(100,1),(101,1),(110,1),(115,1),(153,1),(156,1)}
        70:{1,2,4}:{(43,1),(44,1),(97,1),(102,1)}
        71:{1,3,4,7}:{(43,1),(45,1),(98,1),(103,1),(104,1),(189,1),(217,1)}
        72:{2,3,4,7}:{(44,1),(45,1),(99,1),(103,1),(105,1),(190,1),(217,1)}
        73:{3,4,6}:{(45,1),(46,1),(100,1),(106,1),(156,1)}
        74:{1,2,5}:{(46,1),(106,1)}
        75:{1,4,6}:{(47,1),(50,1),(87,1),(93,1),(107,1)}
        76:{3,4,7}:{(47,1),(48,1),(88,1),(95,1),(107,1)}
        77:{2,4,6,7}:{(48,1),(49,1),(52,1),(108,1),(109,1),(215,1),(218,1)}
        78:{1,4,5,7}:{(50,1),(51,1),(98,1),(107,1),(110,1),(159,1),(161,1),(189,1)}
        79:{3,4,6}:{(51,1),(52,1),(100,1),(110,1),(111,1),(156,1)}
        80:{2,5,6}:{(52,1),(109,1),(111,1)}
        81:{2,4,6}:{(53,1),(56,1),(90,1),(94,1),(112,1)}
        82:{3,4,7}:{(53,1),(54,1),(91,1),(95,1),(112,1)}
        83:{1,4,6,7}:{(54,1),(55,1),(58,1),(113,1),(114,1),(216,1),(219,1)}
        84:{2,4,5,7}:{(56,1),(57,1),(99,1),(112,1),(115,1),(160,1),(164,1),(190,1)}
        85:{3,4,6}:{(57,1),(58,1),(100,1),(115,1),(116,1),(156,1)}
        86:{1,5,6}:{(58,1),(114,1),(116,1)}
        87:{1,5,6}:{(59,1),(75,1),(117,1)}
        88:{3,5,7}:{(59,1),(60,1),(76,1),(117,1),(118,1)}
        89:{2,4,6,7}:{(60,1),(118,1),(119,1),(168,1)}
        90:{2,5,6}:{(61,1),(81,1),(120,1)}
        91:{3,5,7}:{(61,1),(62,1),(82,1),(120,1),(121,1)}
        92:{1,4,6,7}:{(62,1),(121,1),(122,1),(170,1)}
        93:{1,3,6}:{(63,1),(66,1),(75,1),(123,1),(124,1)}
        94:{2,3,6}:{(63,1),(67,1),(81,1),(123,1),(125,1)}
        95:{3,7}:{(63,1),(64,1)}
        96:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(77,1),(83,1),(126,1),(127,1),(137,1),(141,1),(171,1),(174,1),(204,1)}
        97:{1,2,5}:{(66,1),(67,1),(70,1),(123,1)}
        98:{1,3,5,7}:{(66,1),(68,1),(71,1),(78,1),(124,1),(128,1),(129,1),(134,1)}
        99:{2,3,5,7}:{(67,1),(68,1),(72,1),(84,1),(125,1),(128,1),(130,1),(135,1)}
       100:{3,6}:{(68,1),(69,1)}
       101:{1,2,5,6}:{(69,1),(74,1),(80,1),(86,1),(127,1),(131,1),(139,1),(143,1)}
       102:{1,2,3}:{(70,1)}
       103:{1,2,4,7}:{(70,1),(71,1),(72,1),(128,1),(132,1),(133,1)}
       104:{1,3,4,6}:{(71,1),(73,1),(129,1),(133,1),(134,1),(176,1),(207,1),(210,1)}
       105:{2,3,4,6}:{(72,1),(73,1),(130,1),(133,1),(135,1),(177,1),(207,1),(210,1)}
       106:{3,5}:{(73,1),(74,1),(136,1)}
       107:{1,4,7}:{(75,1),(76,1),(117,1),(124,1)}
       108:{3,4,6,7}:{(76,1),(77,1),(79,1),(118,1),(126,1),(137,1),(138,1),(168,1),(174,1),(202,1),(205,1)}
       109:{2,5,7}:{(77,1),(80,1),(138,1)}
       110:{1,4,6}:{(78,1),(79,1),(129,1),(139,1)}
       111:{3,5,6}:{(79,1),(80,1),(138,1),(139,1),(140,1)}
       112:{2,4,7}:{(81,1),(82,1),(120,1),(125,1)}
       113:{3,4,6,7}:{(82,1),(83,1),(85,1),(121,1),(126,1),(141,1),(142,1),(170,1),(174,1),(203,1),(206,1)}
       114:{1,5,7}:{(83,1),(86,1),(142,1)}
       115:{2,4,6}:{(84,1),(85,1),(130,1),(143,1)}
       116:{3,5,6}:{(85,1),(86,1),(142,1),(143,1),(144,1)}
       117:{1,5,7}:{(87,1),(88,1),(107,1),(145,1)}
       118:{3,6,7}:{(88,1),(89,1),(145,1)}
       119:{2,5,6,7}:{(89,1),(109,1),(146,1),(215,1)}
       120:{2,5,7}:{(90,1),(91,1),(112,1),(147,1)}
       121:{3,6,7}:{(91,1),(92,1),(147,1)}
       122:{1,5,6,7}:{(92,1),(114,1),(148,1),(216,1)}
       123:{1,2,6}:{(93,1),(94,1),(97,1),(149,1)}
       124:{1,3,7}:{(93,1),(95,1),(107,1),(149,1)}
       125:{2,3,7}:{(94,1),(95,1),(112,1),(149,1)}
       126:{3,6,7}:{(95,1),(96,1),(100,1),(152,1),(217,1)}
       127:{1,2,5,7}:{(96,1),(101,1),(109,1),(114,1),(152,1),(161,1),(164,1)}
       128:{1,2,5,7}:{(97,1),(98,1),(99,1),(103,1),(149,1),(153,1),(158,1)}
       129:{1,3,6}:{(98,1),(100,1),(110,1),(153,1)}
       130:{2,3,6}:{(99,1),(100,1),(115,1),(153,1)}
       131:{3,5,6}:{(100,1),(101,1),(106,1),(152,1),(156,1)}
       132:{1,2,3,7}:{(102,1),(103,1),(157,1),(217,1),(229,1)}
       133:{1,2,4,6}:{(103,1),(104,1),(105,1),(153,1),(157,1),(158,1),(194,1)}
       134:{1,3,5}:{(104,1),(106,1),(158,1),(159,1),(195,1)}
       135:{2,3,5}:{(105,1),(106,1),(158,1),(160,1),(195,1)}
       136:{4,5}:{(106,1),(156,1)}
       137:{1,4,6,7}:{(107,1),(108,1),(110,1),(145,1),(150,1),(161,1),(189,1)}
       138:{3,5,7}:{(108,1),(109,1),(111,1),(161,1),(162,1)}
       139:{1,5,6}:{(110,1),(111,1),(161,1)}
       140:{4,5,6}:{(111,1),(156,1),(162,1)}
       141:{2,4,6,7}:{(112,1),(113,1),(115,1),(147,1),(151,1),(164,1),(190,1)}
       142:{3,5,7}:{(113,1),(114,1),(116,1),(164,1),(165,1)}
       143:{2,5,6}:{(115,1),(116,1),(164,1)}
       144:{4,5,6}:{(116,1),(156,1),(165,1)}
       145:{1,6,7}:{(117,1),(118,1)}
       146:{3,5,6,7}:{(118,1),(119,1),(138,1),(167,1),(168,1),(202,1)}
       147:{2,6,7}:{(120,1),(121,1)}
       148:{3,5,6,7}:{(121,1),(122,1),(142,1),(169,1),(170,1),(203,1)}
       149:{1,2,7}:{(123,1),(124,1),(125,1)}
       150:{1,3,6,7}:{(124,1),(126,1),(129,1),(137,1),(171,1),(172,1),(202,1)}
       151:{2,3,6,7}:{(125,1),(126,1),(130,1),(141,1),(171,1),(173,1),(203,1)}
       152:{3,5,7}:{(126,1),(127,1),(131,1),(174,1)}
       153:{1,2,6}:{(128,1),(129,1),(130,1)}
       154:{1,3,5,6}:{(129,1),(131,1),(134,1),(139,1),(172,1),(175,1),(176,1),(183,1),(207,1)}
       155:{2,3,5,6}:{(130,1),(131,1),(135,1),(143,1),(173,1),(175,1),(177,1),(185,1),(207,1)}
       156:{4,6}:{(131,1),(136,1),(174,1)}
       157:{1,2,3,6}:{(132,1),(133,1),(178,1),(207,1),(227,1)}
       158:{1,2,5}:{(133,1),(134,1),(135,1)}
       159:{1,4,5}:{(134,1),(136,1),(176,1),(180,1)}
       160:{2,4,5}:{(135,1),(136,1),(177,1),(181,1)}
       161:{1,5,7}:{(137,1),(138,1),(139,1)}
       162:{4,5,7}:{(138,1),(140,1),(168,1),(174,1)}
       163:{1,4,5,6}:{(139,1),(140,1),(176,1),(182,1),(183,1)}
       164:{2,5,7}:{(141,1),(142,1),(143,1)}
       165:{4,5,7}:{(142,1),(144,1),(170,1),(174,1)}
       166:{2,4,5,6}:{(143,1),(144,1),(177,1),(184,1),(185,1)}
       167:{1,5,6,7}:{(145,1),(146,1),(161,1),(186,1)}
       168:{4,6,7}:{(146,1),(162,1)}
       169:{2,5,6,7}:{(147,1),(148,1),(164,1),(187,1)}
       170:{4,6,7}:{(148,1),(165,1)}
       171:{1,2,6,7}:{(149,1),(150,1),(151,1),(153,1),(188,1),(215,1),(216,1)}
       172:{1,3,5,7}:{(150,1),(152,1),(154,1),(161,1),(188,1),(189,1),(198,1),(217,1)}
       173:{2,3,5,7}:{(151,1),(152,1),(155,1),(164,1),(188,1),(190,1),(200,1),(217,1)}
       174:{4,7}:{(152,1),(156,1)}
       175:{1,2,5,6}:{(153,1),(154,1),(155,1),(158,1),(188,1),(191,1),(199,1),(201,1)}
       176:{1,4,6}:{(154,1),(156,1),(159,1),(189,1),(192,1)}
       177:{2,4,6}:{(155,1),(156,1),(160,1),(190,1),(193,1)}
       178:{1,2,3,5}:{(157,1),(158,1),(194,1),(195,1),(224,1),(230,1)}
       179:{1,2,4,5}:{(158,1),(159,1),(160,1),(191,1),(194,1),(195,1),(196,1),(197,1),(224,1)}
       180:{3,4,5}:{(159,1),(192,1),(195,1),(196,1)}
       181:{3,4,5}:{(160,1),(193,1),(195,1),(197,1)}
       182:{1,4,5,7}:{(161,1),(162,1),(163,1),(186,1),(189,1),(198,1)}
       183:{3,5,6}:{(163,1),(192,1),(198,1),(199,1)}
       184:{2,4,5,7}:{(164,1),(165,1),(166,1),(187,1),(190,1),(200,1)}
       185:{3,5,6}:{(166,1),(193,1),(200,1),(201,1)}
       186:{1,4,6,7}:{(167,1),(168,1),(182,1),(202,1)}
       187:{2,4,6,7}:{(169,1),(170,1),(184,1),(203,1)}
       188:{1,2,5,7}:{(171,1),(172,1),(173,1),(175,1),(204,1),(213,1),(214,1)}
       189:{1,4,7}:{(172,1),(174,1),(176,1),(205,1)}
       190:{2,4,7}:{(173,1),(174,1),(177,1),(206,1)}
       191:{1,2,4,6}:{(175,1),(176,1),(177,1),(179,1),(204,1),(207,1),(208,1),(209,1),(227,1)}
       192:{3,4,6}:{(176,1),(180,1),(183,1),(205,1),(207,1),(208,1)}
       193:{3,4,6}:{(177,1),(181,1),(185,1),(206,1),(207,1),(209,1)}
       194:{1,2,4}:{(178,1),(210,1)}
       195:{3,5}:{(179,1),(207,1),(210,1)}
       196:{2,4,5}:{(180,1),(208,1),(212,1)}
       197:{1,4,5}:{(181,1),(209,1),(211,1)}
       198:{3,5,7}:{(182,1),(183,1),(202,1),(205,1),(213,1)}
       199:{2,5,6}:{(183,1),(208,1),(213,1)}
       200:{3,5,7}:{(184,1),(185,1),(203,1),(206,1),(214,1)}
       201:{1,5,6}:{(185,1),(209,1),(214,1)}
       202:{3,6,7}:{(186,1),(198,1),(215,1)}
       203:{3,6,7}:{(187,1),(200,1),(216,1)}
       204:{1,2,4,7}:{(188,1),(189,1),(190,1),(191,1),(217,1),(218,1),(219,1),(229,1)}
       205:{3,4,7}:{(189,1),(192,1),(198,1),(217,1),(218,1)}
       206:{3,4,7}:{(190,1),(193,1),(200,1),(217,1),(219,1)}
       207:{3,6}:{(191,1),(195,1),(217,1)}
       208:{2,4,6}:{(192,1),(196,1),(199,1),(218,1),(221,1)}
       209:{1,4,6}:{(193,1),(197,1),(201,1),(219,1),(220,1)}
       210:{3,4}:{(194,1),(195,1)}
       211:{1,3,5}:{(195,1),(197,1),(220,1),(222,1),(224,1)}
       212:{2,3,5}:{(195,1),(196,1),(221,1),(223,1),(224,1)}
       213:{2,5,7}:{(198,1),(199,1),(215,1),(218,1)}
       214:{1,5,7}:{(200,1),(201,1),(216,1),(219,1)}
       215:{2,6,7}:{(202,1),(213,1)}
       216:{1,6,7}:{(203,1),(214,1)}
       217:{3,7}:{(204,1),(207,1)}
       218:{2,4,7}:{(205,1),(208,1),(213,1),(226,1)}
       219:{1,4,7}:{(206,1),(209,1),(214,1),(225,1)}
       220:{1,3,6}:{(207,1),(209,1),(211,1),(225,1),(227,1)}
       221:{2,3,6}:{(207,1),(208,1),(212,1),(226,1),(227,1)}
       222:{1,3,4}:{(210,1),(211,1),(228,1)}
       223:{2,3,4}:{(210,1),(212,1),(228,1)}
       224:{1,2,5}:{(211,1),(212,1),(227,1),(228,1)}
       225:{1,3,7}:{(217,1),(219,1),(220,1),(229,1)}
       226:{2,3,7}:{(217,1),(218,1),(221,1),(229,1)}
       227:{1,2,6}:{(220,1),(221,1),(224,1),(229,1)}
       228:{1,2,4}:{(222,1),(223,1),(224,1),(230,1)}
       229:{1,2,7}:{(225,1),(226,1),(227,1)}
       230:{1,2,3}:{(228,1)}

 931 :   0:{1,3,5,7}:{(4,1),(5,1),(6,1),(11,1),(31,1),(35,1),(66,1)}
         1:{2,3,5,7}:{(4,1),(7,1),(8,1),(9,1),(31,1),(38,1),(66,1)}
         2:{2,4,5,7}:{(7,1),(9,1),(10,1),(28,1),(38,1),(60,1),(70,1)}
         3:{1,4,5,7}:{(5,1),(11,1),(12,1),(30,1),(35,1),(62,1),(68,1)}
         4:{1,2,5,7}:{(0,1),(1,1),(15,1),(16,1),(21,1),(24,1),(50,1)}
         5:{1,4,7}:{(0,1),(17,1),(18,1),(78,1),(93,1)}
         6:{1,3,6}:{(0,1),(16,1),(18,1),(25,1),(49,1),(102,1)}
         7:{2,4,7}:{(1,1),(19,1),(20,1),(78,1),(92,1)}
         8:{2,3,6}:{(1,1),(16,1),(20,1),(22,1),(49,1),(103,1)}
         9:{3,5,7}:{(2,1),(19,1),(21,1),(22,1),(54,1)}
        10:{2,4,6}:{(2,1),(22,1),(23,1),(56,1)}
        11:{3,5,7}:{(3,1),(17,1),(24,1),(25,1),(52,1)}
        12:{1,4,6}:{(3,1),(25,1),(26,1),(58,1)}
        13:{2,4,6,7}:{(10,1),(27,1),(28,1),(60,1)}
        14:{1,4,6,7}:{(12,1),(29,1),(30,1),(62,1)}
        15:{1,2,4,7}:{(4,1),(5,1),(7,1),(31,1),(32,1),(33,1),(36,1),(63,1)}
        16:{1,2,6}:{(4,1),(6,1),(8,1),(39,1),(41,1),(104,1)}
        17:{3,4,7}:{(5,1),(11,1),(31,1),(33,1),(34,1),(62,1),(84,1)}
        18:{1,4,6}:{(5,1),(6,1),(34,1),(35,1),(91,1),(101,1)}
        19:{3,4,7}:{(7,1),(9,1),(31,1),(36,1),(37,1),(60,1),(83,1)}
        20:{2,4,6}:{(7,1),(8,1),(37,1),(38,1),(90,1),(100,1)}
        21:{1,5,7}:{(9,1),(36,1),(39,1),(69,1)}
        22:{3,6}:{(9,1),(10,1),(39,1)}
        23:{2,5,6}:{(10,1),(28,1),(38,1),(40,1),(90,1)}
        24:{2,5,7}:{(11,1),(33,1),(41,1),(67,1)}
        25:{3,6}:{(11,1),(12,1),(41,1)}
        26:{1,5,6}:{(12,1),(30,1),(35,1),(42,1),(91,1)}
        27:{3,6,7}:{(13,1),(22,1),(43,1),(44,1)}
        28:{2,5,7}:{(13,1),(23,1),(44,1),(92,1)}
        29:{3,6,7}:{(14,1),(25,1),(45,1),(46,1)}
        30:{1,5,7}:{(14,1),(26,1),(46,1),(93,1)}
        31:{3,7}:{(15,1),(49,1)}
        32:{1,2,4,6}:{(15,1),(16,1),(18,1),(20,1),(49,1),(50,1),(51,1),(53,1),(75,1),(78,1),(94,1)}
        33:{2,4,7}:{(17,1),(24,1),(48,1),(51,1)}
        34:{3,4,6}:{(17,1),(18,1),(25,1),(49,1),(51,1),(52,1),(58,1),(78,1),(82,1),(96,1)}
        35:{1,5}:{(18,1),(52,1)}
        36:{1,4,7}:{(19,1),(21,1),(47,1),(53,1)}
        37:{3,4,6}:{(19,1),(20,1),(22,1),(49,1),(53,1),(54,1),(56,1),(78,1),(81,1),(95,1)}
        38:{2,5}:{(20,1),(54,1)}
        39:{1,6}:{(21,1),(22,1)}
        40:{3,5,6}:{(22,1),(23,1),(44,1),(54,1),(55,1),(56,1),(81,1)}
        41:{2,6}:{(24,1),(25,1)}
        42:{3,5,6}:{(25,1),(26,1),(46,1),(52,1),(57,1),(58,1),(82,1)}
        43:{1,6,7}:{(27,1),(39,1),(59,1)}
        44:{3,5,7}:{(27,1),(28,1),(40,1),(59,1),(60,1),(83,1)}
        45:{2,6,7}:{(29,1),(41,1),(61,1)}
        46:{3,5,7}:{(29,1),(30,1),(42,1),(61,1),(62,1),(84,1)}
        47:{1,3,7}:{(31,1),(36,1),(63,1),(64,1),(83,1)}
        48:{2,3,7}:{(31,1),(33,1),(63,1),(65,1),(84,1)}
        49:{3,6}:{(31,1),(32,1),(66,1),(99,1)}
        50:{1,2,5}:{(32,1),(35,1),(38,1),(66,1),(67,1),(69,1)}
        51:{2,4,6}:{(33,1),(34,1),(41,1),(65,1),(67,1),(87,1)}
        52:{3,5}:{(34,1),(35,1),(67,1),(68,1)}
        53:{1,4,6}:{(36,1),(37,1),(39,1),(64,1),(69,1),(86,1)}
        54:{3,5}:{(37,1),(38,1),(69,1),(70,1)}
        55:{1,5,6}:{(39,1),(40,1),(59,1),(69,1),(71,1)}
        56:{4,6}:{(40,1),(60,1),(70,1)}
        57:{2,5,6}:{(41,1),(42,1),(61,1),(67,1),(72,1)}
        58:{4,6}:{(42,1),(62,1),(68,1)}
        59:{1,5,7}:{(43,1),(44,1),(55,1),(73,1)}
        60:{4,7}:{(44,1),(56,1)}
        61:{2,5,7}:{(45,1),(46,1),(57,1),(74,1)}
        62:{4,7}:{(46,1),(58,1)}
        63:{1,2,7}:{(47,1),(48,1),(75,1),(92,1),(93,1)}
        64:{1,3,6}:{(47,1),(49,1),(53,1),(75,1),(76,1),(81,1)}
        65:{2,3,6}:{(48,1),(49,1),(51,1),(75,1),(77,1),(82,1)}
        66:{3,5}:{(49,1),(50,1),(78,1)}
        67:{2,5}:{(51,1),(52,1)}
        68:{4,5}:{(52,1),(58,1),(78,1)}
        69:{1,5}:{(53,1),(54,1)}
        70:{4,5}:{(54,1),(56,1),(78,1)}
        71:{1,4,6}:{(55,1),(56,1),(73,1),(80,1),(81,1)}
        72:{2,4,6}:{(57,1),(58,1),(74,1),(79,1),(82,1)}
        73:{1,4,7}:{(59,1),(60,1),(71,1),(83,1)}
        74:{2,4,7}:{(61,1),(62,1),(72,1),(84,1)}
        75:{1,2,6}:{(63,1),(64,1),(65,1),(85,1),(90,1),(91,1)}
        76:{1,3,5}:{(64,1),(66,1),(69,1),(85,1),(86,1),(89,1),(99,1)}
        77:{2,3,5}:{(65,1),(66,1),(67,1),(85,1),(87,1),(88,1),(99,1)}
        78:{4}:{(66,1)}
        79:{2,4,5}:{(67,1),(68,1),(72,1),(87,1),(88,1)}
        80:{1,4,5}:{(69,1),(70,1),(71,1),(86,1),(89,1)}
        81:{3,6}:{(71,1),(83,1),(89,1),(90,1)}
        82:{3,6}:{(72,1),(84,1),(88,1),(91,1)}
        83:{3,7}:{(73,1),(81,1),(92,1)}
        84:{3,7}:{(74,1),(82,1),(93,1)}
        85:{1,2,5}:{(75,1),(76,1),(77,1),(94,1),(97,1),(98,1)}
        86:{1,4}:{(76,1),(78,1),(95,1)}
        87:{2,4}:{(77,1),(78,1),(96,1)}
        88:{3,5}:{(79,1),(82,1),(96,1),(97,1)}
        89:{3,5}:{(80,1),(81,1),(95,1),(98,1)}
        90:{2,6}:{(81,1),(92,1),(98,1)}
        91:{1,6}:{(82,1),(93,1),(97,1)}
        92:{2,7}:{(83,1),(90,1)}
        93:{1,7}:{(84,1),(91,1)}
        94:{1,2,4}:{(85,1),(86,1),(87,1),(99,1),(100,1),(101,1),(104,1)}
        95:{3,4}:{(86,1),(89,1),(99,1),(100,1)}
        96:{3,4}:{(87,1),(88,1),(99,1),(101,1)}
        97:{1,5}:{(88,1),(91,1),(101,1)}
        98:{2,5}:{(89,1),(90,1),(100,1)}
        99:{3}:{(94,1)}
       100:{2,4}:{(95,1),(98,1),(103,1)}
       101:{1,4}:{(96,1),(97,1),(102,1)}
       102:{1,3}:{(99,1),(101,1),(104,1)}
       103:{2,3}:{(99,1),(100,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

 932 :   0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(25,1),(29,1),(31,1),(52,1),(58,1),(79,1),(86,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(38,1),(69,1),(96,1),(102,1)}
         2:{1,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(74,1),(101,1)}
         3:{1,3,5,6}:{(2,1),(8,1),(9,1),(27,1),(29,1)}
         4:{2,3,6,7}:{(1,1),(10,1),(29,1),(111,1),(115,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(114,1)}
         6:{1,4,5,7}:{(2,1),(9,1),(12,1),(79,1),(87,1)}
         7:{1,3,5,6,7}:{(3,1),(13,1),(14,1),(35,1),(37,1),(63,1),(123,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(40,1),(74,1)}
         9:{1,4,6}:{(3,1),(6,1),(18,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(125,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(45,1),(47,1),(74,1),(96,1),(103,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(49,1),(81,1),(83,1),(112,1)}
        14:{1,4,6,7}:{(7,1),(9,1),(22,1),(25,1),(79,1),(131,1)}
        15:{1,4,5,6}:{(9,1),(22,1),(27,1)}
        16:{2,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(27,1),(29,1),(30,1)}
        19:{2,4,7}:{(10,1),(28,1),(31,1),(132,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(111,1),(116,1)}
        21:{2,4,5,7}:{(12,1),(30,1),(33,1),(49,1),(80,1),(88,1)}
        22:{1,4,5,7}:{(14,1),(15,1),(35,1),(136,1)}
        23:{2,3,5,6,7}:{(13,1),(16,1),(36,1),(37,1),(64,1),(66,1),(98,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(36,1),(37,1),(38,1),(67,1),(69,1),(96,1),(121,1)}
        25:{3,4,6,7}:{(14,1),(18,1),(35,1),(37,1),(38,1),(62,1),(135,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(39,1),(40,1),(41,1),(65,1),(71,1),(72,1),(73,1),(74,1),(97,1),(103,1),(121,1),(136,1),(139,1)}
        27:{3,5,6}:{(15,1),(18,1),(35,1),(40,1)}
        28:{2,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{2,4,6}:{(18,1),(21,1),(40,1),(44,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(45,1),(126,1)}
        32:{1,3,5,7}:{(20,1),(43,1),(45,1),(47,1),(74,1),(77,1),(105,1)}
        33:{2,3,5,7}:{(20,1),(21,1),(44,1),(46,1),(47,1),(75,1)}
        34:{1,2,4,5,7}:{(22,1),(24,1),(26,1),(48,1),(49,1),(50,1),(79,1),(80,1),(81,1),(83,1)}
        35:{3,5,7}:{(22,1),(25,1),(27,1),(49,1),(138,1)}
        36:{2,4,6,7}:{(23,1),(28,1),(50,1),(51,1),(80,1),(109,1)}
        37:{3,6,7}:{(24,1),(29,1),(48,1),(111,1),(129,1)}
        38:{2,4,6,7}:{(25,1),(30,1),(49,1),(53,1),(80,1),(137,1)}
        39:{3,5,6}:{(26,1),(29,1),(48,1),(54,1),(57,1),(116,1),(129,1),(138,1)}
        40:{2,5,6}:{(27,1),(30,1),(49,1)}
        41:{2,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(58,1)}
        43:{1,3,6}:{(29,1),(32,1),(58,1),(60,1)}
        44:{2,3,6}:{(29,1),(30,1),(33,1),(60,1)}
        45:{1,4,7}:{(31,1),(32,1),(58,1),(117,1)}
        46:{2,3,4,7}:{(31,1),(33,1),(59,1),(61,1),(80,1),(111,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(37,1),(39,1),(62,1)}
        49:{2,5,7}:{(35,1),(38,1),(40,1),(139,1)}
        50:{2,4,5,7}:{(36,1),(41,1),(65,1),(66,1)}
        51:{3,4,6,7}:{(36,1),(37,1),(42,1),(62,1),(66,1),(67,1),(93,1)}
        52:{1,3,6,7}:{(37,1),(43,1),(63,1),(67,1),(69,1),(118,1)}
        53:{2,3,6,7}:{(37,1),(38,1),(44,1),(64,1),(69,1),(133,1)}
        54:{3,4,6}:{(39,1),(62,1),(70,1),(71,1),(72,1),(104,1),(126,1)}
        55:{1,3,5,6}:{(39,1),(43,1),(63,1),(71,1),(73,1),(74,1),(97,1),(101,1),(104,1),(105,1),(118,1)}
        56:{2,3,5,6}:{(39,1),(40,1),(44,1),(64,1),(72,1),(73,1),(75,1),(104,1),(125,1),(133,1),(139,1)}
        57:{3,5}:{(41,1),(42,1),(74,1)}
        58:{1,4,6}:{(42,1),(43,1),(45,1),(74,1)}
        59:{2,3,4,6}:{(42,1),(44,1),(46,1),(72,1),(75,1),(76,1),(104,1),(126,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(54,1),(79,1),(80,1),(111,1)}
        63:{1,3,5,7}:{(48,1),(52,1),(55,1),(79,1),(81,1),(83,1),(111,1)}
        64:{2,3,5,7}:{(48,1),(49,1),(53,1),(56,1),(80,1),(81,1),(111,1)}
        65:{2,4,5,6}:{(50,1),(82,1),(109,1)}
        66:{3,5,7}:{(50,1),(51,1),(57,1),(82,1),(83,1)}
        67:{1,4,6,7}:{(51,1),(52,1),(58,1),(79,1),(83,1),(108,1)}
        68:{2,3,4,6,7}:{(51,1),(53,1),(59,1),(80,1),(84,1),(85,1),(109,1),(111,1),(129,1),(130,1),(137,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(60,1),(81,1),(127,1)}
        70:{3,4,5}:{(54,1),(57,1),(87,1),(88,1),(116,1),(138,1)}
        71:{1,4,6}:{(54,1),(55,1),(79,1),(87,1),(117,1)}
        72:{2,4,6}:{(54,1),(56,1),(80,1),(88,1),(132,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(60,1),(81,1),(89,1),(90,1),(114,1),(127,1)}
        74:{1,5}:{(57,1),(58,1)}
        75:{2,3,5}:{(57,1),(59,1),(88,1),(90,1),(116,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{1,3,7}:{(61,1),(91,1),(111,1)}
        78:{3,4,5,7}:{(62,1),(66,1),(70,1),(93,1),(94,1),(95,1),(122,1)}
        79:{1,4,7}:{(62,1),(63,1),(71,1)}
        80:{2,4,7}:{(62,1),(64,1),(72,1)}
        81:{1,2,5,7}:{(63,1),(64,1),(69,1),(73,1),(96,1)}
        82:{3,5,6}:{(65,1),(66,1),(93,1),(97,1)}
        83:{1,5,7}:{(66,1),(67,1),(74,1),(97,1)}
        84:{2,3,5,7}:{(66,1),(68,1),(75,1),(95,1),(98,1),(99,1),(122,1),(139,1)}
        85:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(96,1),(99,1),(100,1),(121,1),(124,1)}
        86:{1,3,4,6}:{(71,1),(92,1),(101,1),(102,1),(104,1),(118,1),(126,1),(135,1)}
        87:{1,4,5}:{(70,1),(71,1),(74,1),(101,1)}
        88:{2,4,5}:{(70,1),(72,1),(75,1),(139,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(73,1),(96,1),(103,1),(104,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{1,3,6}:{(76,1),(77,1),(104,1),(105,1)}
        92:{1,3,4,7}:{(79,1),(86,1),(106,1),(107,1),(111,1),(130,1)}
        93:{3,4,6}:{(78,1),(82,1),(108,1),(109,1),(129,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(106,1),(108,1)}
        95:{2,4,5,7}:{(78,1),(80,1),(84,1),(88,1),(109,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(89,1),(111,1)}
        97:{1,5,6}:{(82,1),(83,1),(108,1)}
        98:{2,3,5,6}:{(82,1),(84,1),(109,1),(112,1),(129,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(85,1),(90,1),(112,1),(113,1)}
       100:{1,3,6,7}:{(85,1),(91,1),(111,1),(113,1),(129,1)}
       101:{1,3,5}:{(86,1),(87,1),(114,1),(116,1),(138,1)}
       102:{1,2,4,6}:{(86,1),(107,1),(114,1),(115,1),(127,1),(132,1),(137,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(89,1),(90,1),(114,1),(116,1),(117,1),(132,1)}
       104:{3,6}:{(89,1),(111,1),(116,1)}
       105:{1,3,5}:{(90,1),(91,1),(116,1),(117,1)}
       106:{1,3,5,7}:{(92,1),(94,1),(101,1),(118,1),(119,1),(122,1)}
       107:{1,2,4,7}:{(92,1),(102,1),(119,1),(120,1),(134,1)}
       108:{1,4,6}:{(93,1),(94,1),(97,1),(118,1)}
       109:{2,4,6}:{(93,1),(95,1),(98,1)}
       110:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(103,1),(119,1),(121,1),(122,1),(124,1),(134,1),(136,1),(139,1)}
       111:{3,7}:{(96,1),(104,1)}
       112:{1,2,5,6}:{(97,1),(98,1),(99,1),(121,1),(123,1),(139,1)}
       113:{1,3,5,7}:{(99,1),(100,1),(105,1),(122,1),(123,1),(124,1)}
       114:{1,2,5}:{(101,1),(102,1),(125,1),(139,1)}
       115:{2,3,6}:{(102,1),(104,1),(120,1),(125,1)}
       116:{3,5}:{(103,1),(104,1),(126,1)}
       117:{1,4}:{(105,1),(126,1)}
       118:{1,3,6}:{(106,1),(108,1),(127,1),(129,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(114,1),(127,1),(128,1)}
       120:{2,3,7}:{(107,1),(111,1),(115,1)}
       121:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1),(131,1),(137,1)}
       122:{3,5,7}:{(110,1),(111,1),(116,1),(129,1),(130,1),(138,1)}
       123:{1,3,5,6}:{(112,1),(113,1),(129,1),(131,1),(138,1)}
       124:{1,4,7}:{(113,1),(117,1),(130,1),(131,1)}
       125:{2,3,5}:{(114,1),(115,1),(116,1),(132,1)}
       126:{3,4}:{(116,1),(117,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{2,3,5,7}:{(119,1),(120,1),(122,1),(125,1),(133,1),(134,1),(139,1)}
       129:{3,6}:{(121,1),(122,1)}
       130:{3,4,7}:{(122,1),(124,1),(126,1),(134,1),(135,1)}
       131:{1,4,6}:{(123,1),(124,1),(135,1),(136,1)}
       132:{2,4}:{(125,1),(126,1)}
       133:{2,3,6}:{(127,1),(128,1),(129,1),(137,1)}
       134:{2,4,7}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,4,6}:{(129,1),(130,1),(131,1),(137,1),(138,1)}
       136:{1,4,5}:{(131,1),(138,1)}
       137:{2,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

 933 :   0:{2,3,4,6,7}:{(1,1),(2,1),(9,1),(25,1),(29,1),(31,1),(53,1),(59,1),(80,1),(86,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(38,1),(69,1),(96,1),(102,1)}
         2:{2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(75,1),(101,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(9,1),(27,1),(29,1)}
         4:{1,3,6,7}:{(1,1),(10,1),(29,1),(111,1),(115,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(114,1)}
         6:{2,4,5,7}:{(2,1),(9,1),(12,1),(80,1),(88,1)}
         7:{2,3,5,6,7}:{(3,1),(13,1),(14,1),(35,1),(37,1),(64,1),(123,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(40,1),(75,1)}
         9:{2,4,6}:{(3,1),(6,1),(18,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(125,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(46,1),(47,1),(75,1),(96,1),(103,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(49,1),(81,1),(84,1),(112,1)}
        14:{2,4,6,7}:{(7,1),(9,1),(22,1),(25,1),(80,1),(131,1)}
        15:{2,4,5,6}:{(9,1),(22,1),(27,1)}
        16:{1,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(59,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(27,1),(29,1),(30,1)}
        19:{1,4,7}:{(10,1),(28,1),(31,1),(132,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(111,1),(116,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(32,1),(49,1),(79,1),(87,1)}
        22:{2,4,5,7}:{(14,1),(15,1),(35,1),(136,1)}
        23:{1,3,5,6,7}:{(13,1),(16,1),(36,1),(37,1),(63,1),(66,1),(97,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(36,1),(37,1),(38,1),(68,1),(69,1),(96,1),(121,1)}
        25:{3,4,6,7}:{(14,1),(18,1),(35,1),(37,1),(38,1),(62,1),(135,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(39,1),(40,1),(41,1),(65,1),(71,1),(72,1),(73,1),(75,1),(98,1),(103,1),(121,1),(136,1),(139,1)}
        27:{3,5,6}:{(15,1),(18,1),(35,1),(40,1)}
        28:{1,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{1,4,6}:{(18,1),(21,1),(40,1),(43,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(46,1),(126,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(47,1),(74,1)}
        33:{2,3,5,7}:{(20,1),(44,1),(46,1),(47,1),(75,1),(77,1),(105,1)}
        34:{1,2,4,5,7}:{(22,1),(24,1),(26,1),(48,1),(49,1),(50,1),(79,1),(80,1),(81,1),(84,1)}
        35:{3,5,7}:{(22,1),(25,1),(27,1),(49,1),(138,1)}
        36:{1,4,6,7}:{(23,1),(28,1),(50,1),(51,1),(79,1),(108,1)}
        37:{3,6,7}:{(24,1),(29,1),(48,1),(111,1),(129,1)}
        38:{1,4,6,7}:{(25,1),(30,1),(49,1),(52,1),(79,1),(137,1)}
        39:{3,5,6}:{(26,1),(29,1),(48,1),(54,1),(57,1),(116,1),(129,1),(138,1)}
        40:{1,5,6}:{(27,1),(30,1),(49,1)}
        41:{1,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(59,1)}
        43:{1,3,6}:{(29,1),(30,1),(32,1),(60,1)}
        44:{2,3,6}:{(29,1),(33,1),(59,1),(60,1)}
        45:{1,3,4,7}:{(31,1),(32,1),(58,1),(61,1),(79,1),(111,1)}
        46:{2,4,7}:{(31,1),(33,1),(59,1),(117,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(37,1),(39,1),(62,1)}
        49:{1,5,7}:{(35,1),(38,1),(40,1),(139,1)}
        50:{1,4,5,7}:{(36,1),(41,1),(65,1),(66,1)}
        51:{3,4,6,7}:{(36,1),(37,1),(42,1),(62,1),(66,1),(68,1),(93,1)}
        52:{1,3,6,7}:{(37,1),(38,1),(43,1),(63,1),(69,1),(133,1)}
        53:{2,3,6,7}:{(37,1),(44,1),(64,1),(68,1),(69,1),(118,1)}
        54:{3,4,6}:{(39,1),(62,1),(70,1),(71,1),(72,1),(104,1),(126,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(63,1),(71,1),(73,1),(74,1),(104,1),(125,1),(133,1),(139,1)}
        56:{2,3,5,6}:{(39,1),(44,1),(64,1),(72,1),(73,1),(75,1),(98,1),(101,1),(104,1),(105,1),(118,1)}
        57:{3,5}:{(41,1),(42,1),(75,1)}
        58:{1,3,4,6}:{(42,1),(43,1),(45,1),(71,1),(74,1),(76,1),(104,1),(126,1)}
        59:{2,4,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(54,1),(79,1),(80,1),(111,1)}
        63:{1,3,5,7}:{(48,1),(49,1),(52,1),(55,1),(79,1),(81,1),(111,1)}
        64:{2,3,5,7}:{(48,1),(53,1),(56,1),(80,1),(81,1),(84,1),(111,1)}
        65:{1,4,5,6}:{(50,1),(82,1),(108,1)}
        66:{3,5,7}:{(50,1),(51,1),(57,1),(82,1),(84,1)}
        67:{1,3,4,6,7}:{(51,1),(52,1),(58,1),(79,1),(83,1),(85,1),(108,1),(111,1),(129,1),(130,1),(137,1)}
        68:{2,4,6,7}:{(51,1),(53,1),(59,1),(80,1),(84,1),(109,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(60,1),(81,1),(127,1)}
        70:{3,4,5}:{(54,1),(57,1),(87,1),(88,1),(116,1),(138,1)}
        71:{1,4,6}:{(54,1),(55,1),(79,1),(87,1),(132,1)}
        72:{2,4,6}:{(54,1),(56,1),(80,1),(88,1),(117,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(60,1),(81,1),(89,1),(90,1),(114,1),(127,1)}
        74:{1,3,5}:{(57,1),(58,1),(87,1),(90,1),(116,1)}
        75:{2,5}:{(57,1),(59,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{2,3,7}:{(61,1),(91,1),(111,1)}
        78:{3,4,5,7}:{(62,1),(66,1),(70,1),(93,1),(94,1),(95,1),(122,1)}
        79:{1,4,7}:{(62,1),(63,1),(71,1)}
        80:{2,4,7}:{(62,1),(64,1),(72,1)}
        81:{1,2,5,7}:{(63,1),(64,1),(69,1),(73,1),(96,1)}
        82:{3,5,6}:{(65,1),(66,1),(93,1),(98,1)}
        83:{1,3,5,7}:{(66,1),(67,1),(74,1),(94,1),(97,1),(99,1),(122,1),(139,1)}
        84:{2,5,7}:{(66,1),(68,1),(75,1),(98,1)}
        85:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(96,1),(99,1),(100,1),(121,1),(124,1)}
        86:{2,3,4,6}:{(72,1),(92,1),(101,1),(102,1),(104,1),(118,1),(126,1),(135,1)}
        87:{1,4,5}:{(70,1),(71,1),(74,1),(139,1)}
        88:{2,4,5}:{(70,1),(72,1),(75,1),(101,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(73,1),(96,1),(103,1),(104,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{2,3,6}:{(76,1),(77,1),(104,1),(105,1)}
        92:{2,3,4,7}:{(80,1),(86,1),(106,1),(107,1),(111,1),(130,1)}
        93:{3,4,6}:{(78,1),(82,1),(108,1),(109,1),(129,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(108,1)}
        95:{2,4,5,7}:{(78,1),(80,1),(84,1),(88,1),(106,1),(109,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(89,1),(111,1)}
        97:{1,3,5,6}:{(82,1),(83,1),(108,1),(112,1),(129,1)}
        98:{2,5,6}:{(82,1),(84,1),(109,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(85,1),(90,1),(112,1),(113,1)}
       100:{2,3,6,7}:{(85,1),(91,1),(111,1),(113,1),(129,1)}
       101:{2,3,5}:{(86,1),(88,1),(114,1),(116,1),(138,1)}
       102:{1,2,4,6}:{(86,1),(107,1),(114,1),(115,1),(127,1),(132,1),(137,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(89,1),(90,1),(114,1),(116,1),(117,1),(132,1)}
       104:{3,6}:{(89,1),(111,1),(116,1)}
       105:{2,3,5}:{(90,1),(91,1),(116,1),(117,1)}
       106:{2,3,5,7}:{(92,1),(95,1),(101,1),(118,1),(119,1),(122,1)}
       107:{1,2,4,7}:{(92,1),(102,1),(119,1),(120,1),(134,1)}
       108:{1,4,6}:{(93,1),(94,1),(97,1)}
       109:{2,4,6}:{(93,1),(95,1),(98,1),(118,1)}
       110:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(103,1),(119,1),(121,1),(122,1),(124,1),(134,1),(136,1),(139,1)}
       111:{3,7}:{(96,1),(104,1)}
       112:{1,2,5,6}:{(97,1),(98,1),(99,1),(121,1),(123,1),(139,1)}
       113:{2,3,5,7}:{(99,1),(100,1),(105,1),(122,1),(123,1),(124,1)}
       114:{1,2,5}:{(101,1),(102,1),(125,1),(139,1)}
       115:{1,3,6}:{(102,1),(104,1),(120,1),(125,1)}
       116:{3,5}:{(103,1),(104,1),(126,1)}
       117:{2,4}:{(105,1),(126,1)}
       118:{2,3,6}:{(106,1),(109,1),(127,1),(129,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(114,1),(127,1),(128,1)}
       120:{1,3,7}:{(107,1),(111,1),(115,1)}
       121:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1),(131,1),(137,1)}
       122:{3,5,7}:{(110,1),(111,1),(116,1),(129,1),(130,1),(138,1)}
       123:{2,3,5,6}:{(112,1),(113,1),(129,1),(131,1),(138,1)}
       124:{2,4,7}:{(113,1),(117,1),(130,1),(131,1)}
       125:{1,3,5}:{(114,1),(115,1),(116,1),(132,1)}
       126:{3,4}:{(116,1),(117,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{1,3,5,7}:{(119,1),(120,1),(122,1),(125,1),(133,1),(134,1),(139,1)}
       129:{3,6}:{(121,1),(122,1)}
       130:{3,4,7}:{(122,1),(124,1),(126,1),(134,1),(135,1)}
       131:{2,4,6}:{(123,1),(124,1),(135,1),(136,1)}
       132:{1,4}:{(125,1),(126,1)}
       133:{1,3,6}:{(127,1),(128,1),(129,1),(137,1)}
       134:{1,4,7}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,4,6}:{(129,1),(130,1),(131,1),(137,1),(138,1)}
       136:{2,4,5}:{(131,1),(138,1)}
       137:{1,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

 934 :   0:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(27,1),(29,1),(53,1),(66,1)}
         1:{2,3,5,6,7}:{(4,1),(6,1),(17,1),(28,1),(29,1),(50,1),(67,1)}
         2:{1,3,4,6,7}:{(7,1),(8,1),(14,1),(33,1),(48,1),(70,1),(78,1),(84,1),(107,1),(111,1),(119,1)}
         3:{2,3,4,6,7}:{(9,1),(10,1),(15,1),(35,1),(49,1),(73,1),(81,1),(85,1),(108,1),(112,1),(119,1)}
         4:{1,2,5,6,7}:{(0,1),(1,1),(13,1),(32,1),(34,1),(46,1),(47,1),(86,1)}
         5:{1,4,6,7}:{(0,1),(11,1),(14,1),(33,1),(72,1),(84,1)}
         6:{2,4,6,7}:{(1,1),(12,1),(15,1),(35,1),(69,1),(85,1)}
         7:{1,2,4,6,7}:{(2,1),(20,1),(21,1),(30,1),(51,1),(59,1),(68,1),(105,1),(125,1)}
         8:{1,3,5,7}:{(2,1),(16,1),(21,1),(22,1),(27,1),(60,1),(120,1),(123,1)}
         9:{1,2,4,6,7}:{(3,1),(23,1),(24,1),(31,1),(54,1),(62,1),(68,1),(105,1),(122,1)}
        10:{2,3,5,7}:{(3,1),(17,1),(24,1),(25,1),(28,1),(63,1),(121,1),(124,1)}
        11:{1,4,5,7}:{(5,1),(18,1),(27,1),(91,1)}
        12:{2,4,5,7}:{(6,1),(19,1),(28,1),(87,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(26,1),(29,1),(30,1),(31,1),(51,1),(54,1),(68,1),(105,1)}
        14:{3,4,6,7}:{(5,1),(27,1),(29,1),(30,1),(52,1),(65,1),(92,1)}
        15:{3,4,6,7}:{(6,1),(28,1),(29,1),(31,1),(55,1),(65,1),(88,1)}
        16:{1,3,5,6}:{(8,1),(32,1),(33,1),(37,1),(70,1)}
        17:{2,3,5,6}:{(10,1),(34,1),(35,1),(38,1),(73,1)}
        18:{1,4,5,6}:{(11,1),(33,1),(37,1)}
        19:{2,4,5,6}:{(12,1),(35,1),(38,1)}
        20:{2,3,6,7}:{(7,1),(39,1),(70,1),(119,1),(133,1)}
        21:{1,2,5,7}:{(7,1),(8,1),(32,1),(39,1),(46,1),(132,1)}
        22:{1,4,5,7}:{(8,1),(33,1),(41,1),(84,1),(114,1)}
        23:{1,3,6,7}:{(9,1),(42,1),(73,1),(119,1),(131,1)}
        24:{1,2,5,7}:{(9,1),(10,1),(34,1),(42,1),(47,1),(130,1)}
        25:{2,4,5,7}:{(10,1),(35,1),(44,1),(85,1),(115,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(36,1),(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        27:{3,5,7}:{(11,1),(14,1),(37,1),(46,1),(110,1)}
        28:{3,5,7}:{(12,1),(15,1),(38,1),(47,1),(106,1)}
        29:{3,6,7}:{(13,1),(45,1),(70,1),(73,1),(119,1)}
        30:{2,4,6,7}:{(14,1),(46,1),(49,1),(71,1),(85,1),(112,1)}
        31:{1,4,6,7}:{(15,1),(47,1),(48,1),(74,1),(84,1),(107,1)}
        32:{1,2,5,6}:{(16,1),(21,1),(50,1),(51,1),(57,1),(120,1)}
        33:{1,4,6}:{(16,1),(22,1),(52,1)}
        34:{1,2,5,6}:{(17,1),(24,1),(53,1),(54,1),(58,1),(124,1)}
        35:{2,4,6}:{(17,1),(25,1),(55,1)}
        36:{1,2,4,5,6}:{(18,1),(19,1),(26,1),(51,1),(54,1),(56,1),(57,1),(58,1),(87,1),(91,1),(96,1),(97,1),(98,1),(120,1),(124,1),(126,1)}
        37:{3,5,6}:{(18,1),(27,1),(52,1),(57,1)}
        38:{3,5,6}:{(19,1),(28,1),(55,1),(58,1)}
        39:{2,3,5,7}:{(20,1),(21,1),(50,1),(59,1),(60,1),(136,1)}
        40:{1,2,4,5,7}:{(21,1),(22,1),(51,1),(59,1),(60,1),(61,1),(87,1),(99,1),(101,1),(105,1),(120,1),(126,1)}
        41:{3,4,5,7}:{(22,1),(27,1),(52,1),(60,1),(61,1),(65,1),(95,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(53,1),(62,1),(63,1),(135,1)}
        43:{1,2,4,5,7}:{(24,1),(25,1),(54,1),(62,1),(63,1),(64,1),(91,1),(103,1),(104,1),(105,1),(124,1),(126,1)}
        44:{3,4,5,7}:{(25,1),(28,1),(55,1),(63,1),(64,1),(65,1),(95,1)}
        45:{3,5,7}:{(26,1),(29,1),(56,1),(65,1)}
        46:{2,5,7}:{(27,1),(30,1),(57,1),(124,1)}
        47:{1,5,7}:{(28,1),(31,1),(58,1),(120,1)}
        48:{1,3,6,7}:{(29,1),(31,1),(66,1),(68,1),(89,1),(93,1)}
        49:{2,3,6,7}:{(29,1),(30,1),(67,1),(68,1),(90,1),(94,1)}
        50:{2,3,5,6}:{(32,1),(39,1),(69,1),(70,1),(106,1)}
        51:{1,2,4,6}:{(32,1),(33,1),(40,1),(69,1),(70,1),(71,1),(107,1),(109,1)}
        52:{3,4,6}:{(33,1),(37,1),(41,1),(70,1),(71,1)}
        53:{1,3,5,6}:{(34,1),(42,1),(72,1),(73,1),(110,1)}
        54:{1,2,4,6}:{(34,1),(35,1),(43,1),(72,1),(73,1),(74,1),(112,1),(113,1)}
        55:{3,4,6}:{(35,1),(38,1),(44,1),(73,1),(74,1)}
        56:{3,5,6}:{(36,1),(45,1),(70,1),(73,1),(75,1),(106,1),(110,1),(134,1)}
        57:{2,5,6}:{(37,1),(46,1),(71,1)}
        58:{1,5,6}:{(38,1),(47,1),(74,1)}
        59:{2,4,7}:{(39,1),(69,1),(78,1),(139,1)}
        60:{3,5,7}:{(40,1),(70,1),(78,1),(106,1),(119,1),(134,1)}
        61:{2,4,5,7}:{(41,1),(46,1),(71,1),(80,1),(85,1),(115,1)}
        62:{1,4,7}:{(42,1),(72,1),(81,1),(138,1)}
        63:{3,5,7}:{(43,1),(73,1),(81,1),(110,1),(119,1),(134,1)}
        64:{1,4,5,7}:{(44,1),(47,1),(74,1),(82,1),(84,1),(114,1)}
        65:{3,4,7}:{(45,1),(75,1),(84,1),(85,1),(119,1)}
        66:{1,3,5,7}:{(45,1),(47,1),(48,1),(76,1),(84,1),(86,1),(119,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(49,1),(77,1),(85,1),(86,1),(119,1)}
        68:{1,2,6,7}:{(48,1),(49,1),(86,1),(109,1),(113,1)}
        69:{2,4,6}:{(50,1),(59,1),(87,1),(88,1)}
        70:{3,6}:{(51,1),(60,1)}
        71:{2,4,6}:{(52,1),(57,1),(61,1),(90,1)}
        72:{1,4,6}:{(53,1),(62,1),(91,1),(92,1)}
        73:{3,6}:{(54,1),(63,1)}
        74:{1,4,6}:{(55,1),(58,1),(64,1),(93,1)}
        75:{3,4,6}:{(56,1),(65,1),(95,1),(96,1),(97,1),(127,1),(137,1)}
        76:{1,3,5,6}:{(56,1),(58,1),(66,1),(89,1),(93,1),(96,1),(98,1),(120,1),(123,1),(127,1),(135,1)}
        77:{2,3,5,6}:{(56,1),(57,1),(67,1),(90,1),(94,1),(97,1),(98,1),(121,1),(124,1),(127,1),(136,1)}
        78:{3,4,7}:{(59,1),(60,1),(88,1),(99,1),(137,1)}
        79:{1,3,5,7}:{(60,1),(89,1),(99,1),(101,1),(120,1),(128,1),(135,1)}
        80:{2,3,5,7}:{(60,1),(61,1),(90,1),(100,1),(101,1),(121,1)}
        81:{3,4,7}:{(62,1),(63,1),(92,1),(103,1),(137,1)}
        82:{1,3,5,7}:{(63,1),(64,1),(93,1),(102,1),(104,1),(123,1)}
        83:{2,3,5,7}:{(63,1),(94,1),(103,1),(104,1),(124,1),(129,1),(136,1)}
        84:{1,4,7}:{(65,1),(66,1),(96,1)}
        85:{2,4,7}:{(65,1),(67,1),(97,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(98,1),(105,1)}
        87:{2,4,5}:{(69,1),(106,1)}
        88:{3,4,6}:{(69,1),(70,1),(78,1),(106,1),(107,1)}
        89:{1,3,6}:{(70,1),(79,1),(107,1),(109,1)}
        90:{2,3,6}:{(70,1),(71,1),(80,1),(109,1)}
        91:{1,4,5}:{(72,1),(110,1)}
        92:{3,4,6}:{(72,1),(73,1),(81,1),(110,1),(112,1)}
        93:{1,3,6}:{(73,1),(74,1),(82,1),(113,1)}
        94:{2,3,6}:{(73,1),(83,1),(112,1),(113,1)}
        95:{3,4,5}:{(75,1),(106,1),(110,1),(114,1),(115,1),(134,1)}
        96:{1,4,6}:{(75,1),(76,1),(84,1),(114,1),(138,1)}
        97:{2,4,6}:{(75,1),(77,1),(85,1),(115,1),(139,1)}
        98:{1,2,5,6}:{(76,1),(77,1),(86,1),(109,1),(113,1),(116,1),(130,1),(132,1)}
        99:{1,4,7}:{(78,1),(79,1),(107,1),(138,1)}
       100:{2,3,4,7}:{(78,1),(80,1),(85,1),(108,1),(117,1),(119,1)}
       101:{1,2,5,7}:{(79,1),(80,1),(109,1),(117,1),(130,1)}
       102:{1,3,4,7}:{(81,1),(82,1),(84,1),(111,1),(118,1),(119,1)}
       103:{2,4,7}:{(81,1),(83,1),(112,1),(139,1)}
       104:{1,2,5,7}:{(82,1),(83,1),(113,1),(118,1),(132,1)}
       105:{1,2,4,7}:{(84,1),(85,1),(86,1),(116,1),(119,1)}
       106:{3,5}:{(87,1),(88,1),(120,1)}
       107:{1,4,6}:{(88,1),(89,1),(99,1),(120,1)}
       108:{2,3,4,6}:{(88,1),(90,1),(97,1),(100,1),(121,1),(122,1),(127,1),(137,1)}
       109:{1,2,6}:{(89,1),(90,1),(101,1)}
       110:{3,5}:{(91,1),(92,1),(124,1)}
       111:{1,3,4,6}:{(92,1),(93,1),(96,1),(102,1),(123,1),(125,1),(127,1),(137,1)}
       112:{2,4,6}:{(92,1),(94,1),(103,1),(124,1)}
       113:{1,2,6}:{(93,1),(94,1),(104,1)}
       114:{1,4,5}:{(95,1),(96,1),(120,1),(123,1)}
       115:{2,4,5}:{(95,1),(97,1),(121,1),(124,1)}
       116:{1,2,4,6}:{(96,1),(97,1),(98,1),(105,1),(126,1),(127,1)}
       117:{1,2,4,7}:{(99,1),(100,1),(101,1),(122,1),(128,1)}
       118:{1,2,4,7}:{(102,1),(103,1),(104,1),(125,1),(129,1)}
       119:{3,7}:{(105,1),(127,1)}
       120:{1,5}:{(106,1),(107,1)}
       121:{2,3,5}:{(106,1),(108,1),(115,1),(130,1),(134,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(117,1),(130,1),(131,1),(138,1)}
       123:{1,3,5}:{(110,1),(111,1),(114,1),(132,1),(134,1)}
       124:{2,5}:{(110,1),(112,1)}
       125:{1,2,4,6}:{(111,1),(112,1),(113,1),(118,1),(132,1),(133,1),(139,1)}
       126:{1,2,4,5}:{(114,1),(115,1),(116,1),(130,1),(132,1),(134,1),(138,1),(139,1)}
       127:{3,6}:{(116,1),(119,1),(134,1)}
       128:{1,3,7}:{(117,1),(119,1),(131,1)}
       129:{2,3,7}:{(118,1),(119,1),(133,1)}
       130:{1,2,5}:{(120,1),(121,1),(122,1),(135,1)}
       131:{1,3,6}:{(122,1),(127,1),(128,1),(135,1)}
       132:{1,2,5}:{(123,1),(124,1),(125,1),(136,1)}
       133:{2,3,6}:{(125,1),(127,1),(129,1),(136,1)}
       134:{3,5}:{(126,1),(127,1),(137,1)}
       135:{1,3,5}:{(130,1),(131,1),(134,1),(138,1)}
       136:{2,3,5}:{(132,1),(133,1),(134,1),(139,1)}
       137:{3,4}:{(134,1),(138,1),(139,1)}
       138:{1,4}:{(135,1),(137,1)}
       139:{2,4}:{(136,1),(137,1)}

 935 :   0:{1,2,3,5,6}:{(1,1),(2,1),(7,1),(11,1),(36,1),(38,1),(40,1),(42,1),(44,1),(77,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(17,1),(24,1),(26,1),(56,1),(59,1),(61,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(51,1),(53,1)}
         3:{3,4,6}:{(2,1),(10,1),(11,1),(42,1)}
         4:{1,2,3,6,7}:{(1,1),(12,1),(42,1),(77,1),(79,1),(80,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(10,1),(72,1),(74,1)}
         6:{1,2,4,5}:{(2,1),(11,1),(31,1),(32,1),(36,1)}
         7:{1,2,3,6}:{(15,1),(17,1),(18,1),(85,1)}
         8:{2,3,4,6}:{(3,1),(18,1),(19,1),(20,1),(46,1),(51,1),(58,1),(83,1),(85,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(21,1),(22,1),(46,1),(53,1),(60,1),(83,1),(85,1)}
        10:{3,4,7}:{(3,1),(5,1),(24,1)}
        11:{3,5}:{(3,1),(6,1)}
        12:{1,2,4,6,7}:{(4,1),(5,1),(23,1),(26,1),(27,1),(90,1),(92,1)}
        13:{1,2,4,5,7}:{(5,1),(6,1),(24,1),(26,1),(27,1),(50,1),(52,1),(56,1),(62,1)}
        14:{1,2,4,5,6}:{(6,1),(25,1),(27,1),(28,1),(51,1),(53,1),(57,1),(89,1),(91,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(30,1),(36,1),(67,1)}
        16:{3,4,5}:{(11,1),(31,1),(32,1),(34,1),(67,1)}
        17:{1,2,3,7}:{(7,1),(35,1),(99,1)}
        18:{1,2,4,6}:{(7,1),(8,1),(9,1),(30,1),(35,1),(36,1),(77,1)}
        19:{2,3,4,7}:{(8,1),(10,1),(35,1),(37,1),(66,1),(72,1),(99,1)}
        20:{2,3,5}:{(8,1),(11,1),(31,1),(36,1),(67,1),(97,1)}
        21:{1,3,4,7}:{(9,1),(10,1),(35,1),(39,1),(66,1),(74,1),(99,1)}
        22:{1,3,5}:{(9,1),(11,1),(32,1),(36,1),(67,1),(97,1)}
        23:{3,4,6,7}:{(10,1),(12,1),(41,1),(42,1),(81,1)}
        24:{3,5,7}:{(10,1),(11,1),(13,1),(42,1)}
        25:{3,5,6}:{(11,1),(14,1),(34,1),(42,1),(43,1)}
        26:{1,2,5,7}:{(12,1),(41,1),(44,1),(102,1),(103,1)}
        27:{1,2,4,6}:{(13,1),(42,1),(44,1),(71,1),(73,1),(77,1),(81,1)}
        28:{1,2,4,5,7}:{(14,1),(43,1),(45,1),(72,1),(74,1),(78,1),(102,1),(103,1),(104,1)}
        29:{1,2,3,5,7}:{(15,1),(17,1),(47,1),(48,1),(56,1),(84,1),(86,1)}
        30:{1,2,4}:{(15,1),(46,1)}
        31:{2,4,5}:{(16,1),(20,1),(51,1),(105,1)}
        32:{1,4,5}:{(16,1),(22,1),(53,1),(105,1)}
        33:{3,4,5,7}:{(16,1),(24,1),(50,1),(52,1),(54,1),(55,1),(62,1),(84,1),(94,1),(105,1),(111,1)}
        34:{3,4,6}:{(16,1),(25,1),(51,1),(53,1),(55,1),(85,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(19,1),(21,1),(56,1)}
        36:{1,2,5}:{(18,1),(20,1),(22,1)}
        37:{2,3,5,7}:{(19,1),(20,1),(24,1),(50,1),(56,1),(58,1),(84,1)}
        38:{2,3,5,6}:{(20,1),(25,1),(51,1),(57,1),(58,1),(59,1),(85,1),(89,1),(106,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(24,1),(52,1),(56,1),(60,1),(84,1)}
        40:{1,3,5,6}:{(22,1),(25,1),(53,1),(57,1),(60,1),(61,1),(85,1),(91,1),(106,1)}
        41:{3,5,7}:{(23,1),(26,1),(62,1),(63,1)}
        42:{3,6}:{(24,1),(27,1)}
        43:{3,5,7}:{(25,1),(28,1),(55,1),(64,1)}
        44:{1,2,5,6}:{(26,1),(27,1),(63,1),(89,1),(91,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(64,1),(65,1),(90,1),(92,1),(95,1),(96,1)}
        46:{3,4}:{(30,1),(67,1)}
        47:{1,2,3,6}:{(29,1),(68,1),(77,1),(98,1)}
        48:{1,2,4,7}:{(29,1),(30,1),(66,1),(68,1)}
        49:{1,2,4,5}:{(30,1),(31,1),(32,1),(36,1),(67,1),(70,1)}
        50:{2,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(102,1)}
        51:{2,4,6}:{(31,1),(34,1),(38,1),(72,1),(109,1)}
        52:{1,4,5,7}:{(32,1),(33,1),(39,1),(73,1),(74,1),(103,1)}
        53:{1,4,6}:{(32,1),(34,1),(40,1),(74,1),(109,1)}
        54:{3,4,6}:{(33,1),(42,1),(71,1),(73,1),(75,1),(81,1),(98,1),(109,1)}
        55:{3,4,7}:{(34,1),(43,1),(72,1),(74,1),(99,1)}
        56:{1,2,5,7}:{(35,1),(36,1),(37,1),(39,1),(77,1)}
        57:{1,2,5,6}:{(36,1),(38,1),(40,1),(70,1),(77,1),(78,1)}
        58:{2,3,6}:{(37,1),(42,1),(71,1),(77,1),(98,1)}
        59:{2,3,5,7}:{(38,1),(43,1),(72,1),(78,1),(79,1),(99,1),(102,1),(110,1)}
        60:{1,3,6}:{(39,1),(42,1),(73,1),(77,1),(98,1)}
        61:{1,3,5,7}:{(40,1),(43,1),(74,1),(78,1),(80,1),(99,1),(103,1),(110,1)}
        62:{4,5,7}:{(41,1),(81,1)}
        63:{3,5,6}:{(41,1),(42,1),(44,1),(81,1)}
        64:{3,6,7}:{(42,1),(43,1),(45,1)}
        65:{1,2,5,6,7}:{(44,1),(45,1),(82,1),(102,1),(103,1)}
        66:{3,4,7}:{(46,1),(48,1),(83,1),(84,1),(111,1)}
        67:{3,5}:{(46,1),(49,1),(85,1)}
        68:{1,2,4,6}:{(47,1),(48,1),(83,1),(86,1)}
        69:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(52,1),(56,1),(84,1),(86,1),(87,1),(88,1),(105,1),(108,1),(111,1)}
        70:{1,2,4,6}:{(49,1),(51,1),(53,1),(57,1),(85,1),(88,1)}
        71:{2,4,6}:{(50,1),(54,1),(58,1),(89,1)}
        72:{2,4,7}:{(51,1),(55,1),(59,1),(111,1)}
        73:{1,4,6}:{(52,1),(54,1),(60,1),(91,1)}
        74:{1,4,7}:{(53,1),(55,1),(61,1),(111,1)}
        75:{3,5,6}:{(54,1),(89,1),(91,1),(93,1),(94,1)}
        76:{3,4,6,7}:{(54,1),(55,1),(64,1),(90,1),(92,1),(94,1),(96,1),(107,1),(111,1)}
        77:{1,2,6}:{(56,1),(58,1),(60,1)}
        78:{1,2,5,7}:{(57,1),(59,1),(61,1),(88,1),(95,1)}
        79:{2,3,6,7}:{(58,1),(59,1),(64,1),(90,1),(95,1),(107,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(64,1),(92,1),(95,1),(107,1)}
        81:{4,6}:{(62,1),(63,1)}
        82:{3,5,6,7}:{(63,1),(64,1),(65,1),(94,1),(96,1)}
        83:{3,4,6}:{(66,1),(68,1),(97,1),(98,1),(109,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(97,1),(98,1),(99,1)}
        85:{3,6}:{(67,1),(70,1),(99,1)}
        86:{1,2,5}:{(68,1),(97,1)}
        87:{1,2,4,6}:{(69,1),(71,1),(73,1),(77,1),(98,1),(100,1),(109,1)}
        88:{1,2,4,7}:{(70,1),(72,1),(74,1),(78,1),(99,1)}
        89:{2,5,6}:{(71,1),(75,1),(102,1)}
        90:{2,4,6,7}:{(71,1),(72,1),(76,1),(79,1),(102,1)}
        91:{1,5,6}:{(73,1),(75,1),(103,1)}
        92:{1,4,6,7}:{(73,1),(74,1),(76,1),(80,1),(103,1)}
        93:{4,5,6}:{(75,1),(81,1),(104,1),(109,1)}
        94:{3,5,7}:{(75,1),(76,1),(102,1),(103,1),(104,1)}
        95:{1,2,6,7}:{(77,1),(78,1),(79,1),(80,1)}
        96:{4,6,7}:{(81,1),(82,1),(104,1)}
        97:{3,5}:{(83,1),(86,1),(105,1)}
        98:{3,6}:{(84,1),(87,1)}
        99:{3,7}:{(85,1),(88,1)}
       100:{1,2,5,6}:{(86,1),(87,1),(89,1),(91,1),(106,1),(108,1)}
       101:{1,2,4,6,7}:{(87,1),(88,1),(90,1),(92,1),(95,1),(107,1),(108,1),(111,1)}
       102:{2,5,7}:{(89,1),(90,1),(94,1)}
       103:{1,5,7}:{(91,1),(92,1),(94,1)}
       104:{4,5,7}:{(93,1),(94,1),(96,1),(111,1)}
       105:{4,5}:{(97,1),(109,1)}
       106:{3,5,6}:{(97,1),(98,1),(100,1),(109,1),(110,1)}
       107:{3,6,7}:{(98,1),(99,1),(101,1),(110,1)}
       108:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

 936 :   0:{1,2,3,6,7}:{(2,1),(3,1),(38,1),(75,1),(76,1),(77,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(11,1),(15,1),(38,1),(43,1),(44,1),(45,1),(46,1),(77,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(84,1),(85,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(23,1),(59,1),(60,1),(61,1),(62,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(53,1),(54,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(13,1),(32,1),(38,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(11,1),(94,1),(95,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(13,1),(71,1),(72,1)}
         8:{1,2,4,5}:{(4,1),(15,1),(35,1),(36,1),(45,1)}
         9:{3,4,6}:{(4,1),(13,1),(15,1),(38,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,5,6}:{(6,1),(18,1),(22,1),(82,1),(83,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(22,1),(23,1),(50,1),(51,1),(59,1)}
        13:{3,4,7}:{(7,1),(9,1),(23,1)}
        14:{1,2,4,5,6}:{(8,1),(22,1),(26,1),(27,1),(47,1),(53,1),(54,1),(63,1),(82,1),(83,1)}
        15:{3,5}:{(8,1),(9,1)}
        16:{1,3,4,6}:{(9,1),(24,1),(28,1),(30,1),(53,1),(57,1),(89,1),(90,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(25,1),(29,1),(30,1),(54,1),(58,1),(89,1),(90,1),(105,1)}
        18:{3,5,6}:{(10,1),(11,1),(32,1),(38,1)}
        19:{4,5,7}:{(10,1),(32,1)}
        20:{3,4,5}:{(15,1),(34,1),(35,1),(36,1),(74,1)}
        21:{1,2,5,6,7}:{(11,1),(31,1),(37,1),(94,1),(95,1)}
        22:{1,2,4,6}:{(11,1),(12,1),(32,1),(38,1),(68,1),(69,1),(77,1)}
        23:{3,5,7}:{(12,1),(13,1),(15,1),(38,1)}
        24:{1,3,4,7}:{(13,1),(16,1),(39,1),(41,1),(71,1),(99,1),(100,1)}
        25:{2,3,4,7}:{(13,1),(17,1),(40,1),(41,1),(72,1),(99,1),(100,1)}
        26:{1,2,4,5,7}:{(14,1),(37,1),(42,1),(65,1),(71,1),(72,1),(79,1),(94,1),(95,1)}
        27:{3,5,6}:{(14,1),(15,1),(34,1),(38,1),(42,1)}
        28:{1,3,5}:{(15,1),(16,1),(35,1),(45,1),(74,1),(109,1)}
        29:{2,3,5}:{(15,1),(17,1),(36,1),(45,1),(74,1),(109,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(41,1),(45,1),(46,1),(77,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(48,1),(56,1),(81,1)}
        32:{4,6}:{(18,1),(19,1)}
        33:{3,4,5,7}:{(19,1),(20,1),(23,1),(49,1),(50,1),(51,1),(52,1),(81,1),(87,1),(110,1),(111,1)}
        34:{3,4,6}:{(20,1),(27,1),(52,1),(53,1),(54,1),(89,1)}
        35:{1,4,5}:{(20,1),(28,1),(53,1),(111,1)}
        36:{2,4,5}:{(20,1),(29,1),(54,1),(111,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(26,1),(48,1),(56,1),(84,1),(85,1),(91,1)}
        38:{3,6}:{(22,1),(23,1)}
        39:{1,3,5,7}:{(23,1),(24,1),(28,1),(50,1),(57,1),(59,1),(87,1)}
        40:{2,3,5,7}:{(23,1),(25,1),(29,1),(51,1),(58,1),(59,1),(87,1)}
        41:{1,2,4,7}:{(24,1),(25,1),(30,1),(59,1),(60,1)}
        42:{3,5,7}:{(26,1),(27,1),(52,1),(56,1)}
        43:{1,3,5,6}:{(27,1),(28,1),(53,1),(57,1),(61,1),(63,1),(82,1),(89,1),(103,1)}
        44:{2,3,5,6}:{(27,1),(29,1),(54,1),(58,1),(62,1),(63,1),(83,1),(89,1),(103,1)}
        45:{1,2,5}:{(28,1),(29,1),(30,1)}
        46:{1,2,3,6}:{(30,1),(60,1),(64,1),(89,1)}
        47:{4,5,6}:{(32,1),(65,1),(66,1),(108,1)}
        48:{4,6,7}:{(31,1),(32,1),(65,1)}
        49:{3,4,6}:{(32,1),(33,1),(38,1),(66,1),(68,1),(69,1),(98,1),(108,1)}
        50:{1,4,5,7}:{(33,1),(35,1),(39,1),(68,1),(71,1),(94,1)}
        51:{2,4,5,7}:{(33,1),(36,1),(40,1),(69,1),(72,1),(95,1)}
        52:{3,4,7}:{(34,1),(42,1),(71,1),(72,1),(100,1)}
        53:{1,4,6}:{(34,1),(35,1),(43,1),(71,1),(108,1)}
        54:{2,4,6}:{(34,1),(36,1),(44,1),(72,1),(108,1)}
        55:{1,2,4,5}:{(35,1),(36,1),(45,1),(73,1),(74,1),(80,1)}
        56:{3,6,7}:{(37,1),(38,1),(42,1)}
        57:{1,3,6}:{(38,1),(39,1),(68,1),(77,1),(98,1)}
        58:{2,3,6}:{(38,1),(40,1),(69,1),(77,1),(98,1)}
        59:{1,2,5,7}:{(39,1),(40,1),(41,1),(45,1),(77,1)}
        60:{1,2,3,7}:{(41,1),(46,1),(100,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(71,1),(75,1),(79,1),(94,1),(100,1),(107,1)}
        62:{2,3,5,7}:{(42,1),(44,1),(72,1),(76,1),(79,1),(95,1),(100,1),(107,1)}
        63:{1,2,5,6}:{(43,1),(44,1),(45,1),(73,1),(77,1),(79,1)}
        64:{1,2,3,5}:{(45,1),(46,1),(74,1),(80,1)}
        65:{4,5,7}:{(47,1),(48,1),(81,1),(110,1)}
        66:{3,5,6}:{(47,1),(49,1),(81,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(48,1),(49,1),(52,1),(56,1),(81,1),(84,1),(85,1),(104,1),(110,1)}
        68:{1,4,6}:{(49,1),(50,1),(57,1),(82,1)}
        69:{2,4,6}:{(49,1),(51,1),(58,1),(83,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(55,1),(59,1),(86,1),(87,1),(88,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        71:{1,4,7}:{(52,1),(53,1),(61,1),(110,1)}
        72:{2,4,7}:{(52,1),(54,1),(62,1),(110,1)}
        73:{1,2,4,6}:{(53,1),(54,1),(55,1),(63,1),(88,1),(89,1)}
        74:{3,5}:{(55,1),(89,1),(90,1)}
        75:{1,3,6,7}:{(56,1),(57,1),(61,1),(84,1),(91,1),(104,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(62,1),(85,1),(91,1),(104,1)}
        77:{1,2,6}:{(57,1),(58,1),(59,1)}
        78:{1,2,3,5,7}:{(59,1),(60,1),(64,1),(87,1),(92,1),(93,1),(106,1)}
        79:{1,2,5,7}:{(61,1),(62,1),(63,1),(88,1),(91,1)}
        80:{1,2,4}:{(64,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(67,1),(94,1),(95,1)}
        82:{1,5,6}:{(66,1),(68,1),(94,1)}
        83:{2,5,6}:{(66,1),(69,1),(95,1)}
        84:{1,4,6,7}:{(67,1),(68,1),(71,1),(75,1),(94,1)}
        85:{2,4,6,7}:{(67,1),(69,1),(72,1),(76,1),(95,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(96,1),(98,1),(108,1)}
        87:{3,5,7}:{(70,1),(74,1),(98,1),(99,1),(100,1),(109,1)}
        88:{1,2,4,7}:{(71,1),(72,1),(73,1),(79,1),(100,1)}
        89:{3,6}:{(73,1),(74,1),(100,1)}
        90:{3,4}:{(74,1),(80,1)}
        91:{1,2,6,7}:{(75,1),(76,1),(77,1),(79,1)}
        92:{1,2,3,6}:{(77,1),(78,1),(98,1),(101,1)}
        93:{1,2,4,7}:{(78,1),(80,1),(99,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(84,1)}
        95:{2,5,7}:{(81,1),(83,1),(85,1)}
        96:{1,2,5,6}:{(82,1),(83,1),(86,1),(102,1),(103,1),(106,1)}
        97:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(102,1),(104,1),(110,1)}
        98:{3,6}:{(86,1),(87,1)}
        99:{3,4,7}:{(87,1),(90,1),(93,1),(105,1),(110,1)}
       100:{3,7}:{(88,1),(89,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(97,1),(107,1)}
       103:{3,5,6}:{(96,1),(98,1),(107,1),(108,1),(109,1)}
       104:{3,6,7}:{(97,1),(98,1),(100,1),(107,1)}
       105:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(103,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

 937 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1),(11,1),(30,1),(32,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(22,1),(50,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(48,1)}
         3:{3,4,7}:{(2,1),(9,1),(10,1),(69,1),(79,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1)}
         5:{1,2,4,5,7}:{(2,1),(10,1),(11,1),(12,1),(27,1),(28,1),(32,1),(37,1),(40,1),(70,1),(79,1),(117,1)}
         6:{1,2,3,7}:{(15,1),(16,1),(90,1),(133,1),(146,1)}
         7:{2,3,4,7}:{(3,1),(16,1),(17,1),(18,1),(41,1),(91,1),(98,1),(133,1)}
         8:{1,3,4,7}:{(3,1),(16,1),(19,1),(20,1),(41,1),(92,1),(101,1),(133,1)}
         9:{3,4,6}:{(3,1),(4,1),(21,1),(22,1),(57,1)}
        10:{3,5,7}:{(3,1),(5,1),(21,1),(22,1),(93,1),(133,1)}
        11:{1,2,5}:{(4,1),(21,1)}
        12:{1,2,4,6}:{(5,1),(22,1),(23,1),(44,1),(45,1),(50,1),(57,1)}
        13:{1,2,3,5,7}:{(6,1),(25,1),(26,1),(30,1),(32,1),(60,1),(61,1)}
        14:{3,4,5,7}:{(10,1),(27,1),(28,1),(29,1),(37,1),(60,1),(68,1),(73,1),(76,1),(79,1),(105,1),(119,1),(121,1),(138,1)}
        15:{1,2,3,6}:{(6,1),(30,1),(31,1),(116,1),(141,1)}
        16:{1,2,4,7}:{(6,1),(7,1),(8,1),(31,1),(32,1),(113,1)}
        17:{2,3,4,6}:{(7,1),(9,1),(31,1),(33,1),(34,1),(59,1),(69,1),(74,1),(116,1)}
        18:{2,3,5,7}:{(7,1),(10,1),(27,1),(32,1),(33,1),(34,1),(60,1),(114,1),(142,1)}
        19:{1,3,4,6}:{(8,1),(9,1),(31,1),(35,1),(36,1),(59,1),(69,1),(77,1),(116,1)}
        20:{1,3,5,7}:{(8,1),(10,1),(28,1),(32,1),(35,1),(36,1),(60,1),(115,1),(143,1)}
        21:{3,5}:{(9,1),(11,1),(37,1)}
        22:{3,6}:{(10,1),(12,1)}
        23:{1,2,5,6}:{(11,1),(12,1),(38,1),(40,1),(63,1),(65,1)}
        24:{1,2,4,6,7}:{(12,1),(39,1),(40,1),(64,1),(66,1),(72,1),(79,1),(117,1)}
        25:{1,2,3,6}:{(13,1),(42,1),(50,1),(82,1)}
        26:{1,2,4,7}:{(13,1),(41,1),(42,1),(48,1)}
        27:{2,4,5,7}:{(14,1),(18,1),(44,1),(51,1),(86,1),(98,1),(99,1),(135,1)}
        28:{1,4,5,7}:{(14,1),(20,1),(45,1),(54,1),(88,1),(96,1),(101,1),(134,1)}
        29:{3,4,6}:{(14,1),(22,1),(44,1),(45,1),(46,1),(57,1),(82,1),(124,1)}
        30:{1,2,3,5}:{(15,1),(48,1),(49,1),(90,1),(93,1),(130,1)}
        31:{1,2,4,6}:{(15,1),(16,1),(17,1),(19,1),(48,1),(49,1),(50,1)}
        32:{1,2,5,7}:{(16,1),(18,1),(20,1),(49,1),(50,1),(130,1),(146,1)}
        33:{2,3,5}:{(17,1),(21,1),(49,1),(51,1),(81,1),(93,1)}
        34:{2,3,6}:{(18,1),(22,1),(44,1),(50,1),(82,1)}
        35:{1,3,5}:{(19,1),(21,1),(49,1),(54,1),(81,1),(93,1)}
        36:{1,3,6}:{(20,1),(22,1),(45,1),(50,1),(82,1)}
        37:{4,5}:{(21,1),(57,1)}
        38:{3,5,6}:{(21,1),(22,1),(23,1),(57,1),(58,1)}
        39:{3,6,7}:{(22,1),(24,1),(58,1),(133,1)}
        40:{1,2,5,7}:{(23,1),(24,1),(58,1),(86,1),(88,1)}
        41:{3,4,7}:{(26,1),(59,1),(60,1),(69,1),(138,1)}
        42:{1,2,4,6}:{(25,1),(26,1),(59,1),(61,1)}
        43:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(32,1),(60,1),(61,1),(62,1),(70,1),(105,1),(108,1),(117,1),(138,1)}
        44:{2,4,6}:{(27,1),(29,1),(34,1),(63,1)}
        45:{1,4,6}:{(28,1),(29,1),(36,1),(65,1)}
        46:{3,5,6}:{(29,1),(63,1),(65,1),(67,1),(68,1)}
        47:{3,4,6,7}:{(29,1),(39,1),(64,1),(66,1),(68,1),(79,1),(104,1),(107,1),(119,1),(121,1),(136,1),(137,1),(138,1)}
        48:{1,2,4}:{(30,1),(69,1)}
        49:{1,2,5}:{(31,1),(33,1),(35,1)}
        50:{1,2,6}:{(32,1),(34,1),(36,1)}
        51:{2,4,5}:{(33,1),(37,1),(73,1),(74,1),(105,1)}
        52:{2,3,5,6}:{(33,1),(34,1),(38,1),(63,1),(71,1),(74,1),(75,1),(106,1),(109,1),(116,1)}
        53:{2,3,6,7}:{(34,1),(39,1),(64,1),(72,1),(75,1),(107,1),(136,1),(142,1)}
        54:{1,4,5}:{(35,1),(37,1),(76,1),(77,1),(105,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(38,1),(65,1),(71,1),(77,1),(78,1),(106,1),(111,1),(116,1)}
        56:{1,3,6,7}:{(36,1),(39,1),(66,1),(72,1),(78,1),(107,1),(137,1),(143,1)}
        57:{4,6}:{(37,1),(38,1),(79,1)}
        58:{3,5,7}:{(38,1),(39,1),(40,1),(79,1)}
        59:{3,4,6}:{(41,1),(42,1),(81,1),(82,1),(124,1)}
        60:{3,5,7}:{(41,1),(43,1),(81,1),(82,1),(93,1),(133,1)}
        61:{1,2,5}:{(42,1),(81,1)}
        62:{1,2,4,6}:{(43,1),(44,1),(45,1),(50,1),(82,1),(83,1),(124,1)}
        63:{2,5,6}:{(44,1),(46,1),(86,1)}
        64:{2,4,6,7}:{(44,1),(47,1),(53,1),(86,1),(98,1),(135,1),(145,1)}
        65:{1,5,6}:{(45,1),(46,1),(88,1)}
        66:{1,4,6,7}:{(45,1),(47,1),(56,1),(88,1),(101,1),(134,1),(144,1)}
        67:{4,5,6}:{(46,1),(57,1),(89,1),(124,1)}
        68:{3,5,7}:{(46,1),(47,1),(86,1),(88,1),(89,1)}
        69:{3,4}:{(48,1),(93,1)}
        70:{1,2,4,5}:{(48,1),(49,1),(51,1),(54,1),(93,1),(94,1),(96,1),(99,1),(130,1)}
        71:{1,2,5,6}:{(49,1),(50,1),(52,1),(55,1),(94,1),(95,1),(126,1),(128,1)}
        72:{1,2,6,7}:{(50,1),(53,1),(56,1),(95,1),(144,1),(145,1),(146,1)}
        73:{3,4,5}:{(51,1),(93,1),(96,1),(97,1)}
        74:{2,4,6}:{(51,1),(52,1),(57,1),(97,1),(98,1),(124,1)}
        75:{2,3,5,7}:{(52,1),(53,1),(58,1),(86,1),(95,1),(98,1),(125,1),(127,1),(133,1)}
        76:{3,4,5}:{(54,1),(93,1),(99,1),(100,1)}
        77:{1,4,6}:{(54,1),(55,1),(57,1),(100,1),(101,1),(124,1)}
        78:{1,3,5,7}:{(55,1),(56,1),(58,1),(88,1),(95,1),(101,1),(125,1),(129,1),(133,1)}
        79:{4,7}:{(57,1),(58,1)}
        80:{3,5,6,7}:{(68,1),(102,1),(103,1),(104,1),(136,1),(137,1)}
        81:{3,5}:{(59,1),(61,1),(105,1)}
        82:{3,6}:{(60,1),(62,1)}
        83:{1,2,5,6}:{(61,1),(62,1),(63,1),(65,1),(106,1),(108,1)}
        84:{1,2,4,6,7}:{(62,1),(64,1),(66,1),(72,1),(107,1),(108,1),(117,1),(138,1)}
        85:{2,4,5,6}:{(63,1),(67,1),(74,1),(109,1),(110,1)}
        86:{2,5,7}:{(63,1),(64,1),(68,1)}
        87:{1,4,5,6}:{(65,1),(67,1),(77,1),(111,1),(112,1)}
        88:{1,5,7}:{(65,1),(66,1),(68,1)}
        89:{4,5,7}:{(67,1),(68,1),(79,1),(104,1),(138,1)}
        90:{1,2,3}:{(113,1)}
        91:{2,3,4}:{(69,1),(113,1),(114,1)}
        92:{1,3,4}:{(69,1),(113,1),(115,1)}
        93:{3,5}:{(69,1),(70,1),(116,1)}
        94:{1,2,4,6}:{(70,1),(71,1),(74,1),(77,1),(116,1),(117,1),(118,1),(120,1),(141,1)}
        95:{1,2,5,7}:{(71,1),(72,1),(75,1),(78,1),(117,1),(139,1),(140,1)}
        96:{1,4,5}:{(73,1),(115,1),(118,1)}
        97:{3,4,6}:{(73,1),(74,1),(109,1),(116,1),(118,1),(119,1)}
        98:{2,4,7}:{(74,1),(75,1),(79,1),(119,1),(138,1)}
        99:{2,4,5}:{(76,1),(114,1),(120,1)}
       100:{3,4,6}:{(76,1),(77,1),(111,1),(116,1),(120,1),(121,1)}
       101:{1,4,7}:{(77,1),(78,1),(79,1),(121,1),(138,1)}
       102:{2,5,6,7}:{(80,1),(86,1),(122,1),(145,1)}
       103:{1,5,6,7}:{(80,1),(88,1),(123,1),(144,1)}
       104:{4,6,7}:{(80,1),(89,1)}
       105:{4,5}:{(81,1),(124,1)}
       106:{3,5,6}:{(81,1),(82,1),(83,1),(124,1),(125,1)}
       107:{3,6,7}:{(82,1),(84,1),(125,1),(133,1)}
       108:{1,2,5,7}:{(83,1),(84,1),(86,1),(88,1),(125,1)}
       109:{3,5,6}:{(85,1),(97,1),(126,1),(127,1)}
       110:{2,4,5,7}:{(85,1),(86,1),(89,1),(98,1),(122,1),(127,1)}
       111:{3,5,6}:{(87,1),(100,1),(128,1),(129,1)}
       112:{1,4,5,7}:{(87,1),(88,1),(89,1),(101,1),(123,1),(129,1)}
       113:{1,2,4}:{(90,1),(91,1),(92,1),(130,1)}
       114:{2,3,5}:{(91,1),(93,1),(99,1),(130,1),(131,1)}
       115:{1,3,5}:{(92,1),(93,1),(96,1),(130,1),(132,1)}
       116:{3,6}:{(93,1),(94,1),(133,1)}
       117:{1,2,4,7}:{(94,1),(95,1),(98,1),(101,1),(133,1),(134,1),(135,1),(146,1)}
       118:{1,4,6}:{(96,1),(97,1),(126,1),(132,1),(134,1)}
       119:{3,4,7}:{(97,1),(98,1),(127,1),(133,1),(134,1)}
       120:{2,4,6}:{(99,1),(100,1),(128,1),(131,1),(135,1)}
       121:{3,4,7}:{(100,1),(101,1),(129,1),(133,1),(135,1)}
       122:{2,4,6,7}:{(102,1),(104,1),(110,1),(136,1)}
       123:{1,4,6,7}:{(103,1),(104,1),(112,1),(137,1)}
       124:{4,6}:{(105,1),(106,1),(138,1)}
       125:{3,5,7}:{(106,1),(107,1),(108,1),(138,1)}
       126:{1,5,6}:{(109,1),(118,1),(139,1)}
       127:{3,5,7}:{(109,1),(110,1),(119,1),(136,1),(139,1)}
       128:{2,5,6}:{(111,1),(120,1),(140,1)}
       129:{3,5,7}:{(111,1),(112,1),(121,1),(137,1),(140,1)}
       130:{1,2,5}:{(113,1),(114,1),(115,1),(141,1)}
       131:{2,3,6}:{(114,1),(116,1),(120,1),(141,1),(142,1)}
       132:{1,3,6}:{(115,1),(116,1),(118,1),(141,1),(143,1)}
       133:{3,7}:{(116,1),(117,1)}
       134:{1,4,7}:{(118,1),(119,1),(139,1),(143,1)}
       135:{2,4,7}:{(120,1),(121,1),(140,1),(142,1)}
       136:{3,6,7}:{(122,1),(127,1),(144,1)}
       137:{3,6,7}:{(123,1),(129,1),(145,1)}
       138:{4,7}:{(124,1),(125,1)}
       139:{1,5,7}:{(126,1),(127,1),(134,1),(144,1)}
       140:{2,5,7}:{(128,1),(129,1),(135,1),(145,1)}
       141:{1,2,6}:{(130,1),(131,1),(132,1),(146,1)}
       142:{2,3,7}:{(131,1),(133,1),(135,1),(146,1)}
       143:{1,3,7}:{(132,1),(133,1),(134,1),(146,1)}
       144:{1,6,7}:{(136,1),(139,1)}
       145:{2,6,7}:{(137,1),(140,1)}
       146:{1,2,7}:{(141,1),(142,1),(143,1)}

 938 :   0:{1,2,3,6,7}:{(1,1),(2,1),(34,1),(70,1),(71,1),(72,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(19,1),(50,1),(88,1),(89,1)}
         2:{1,2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(80,1),(81,1)}
         3:{3,4,6,7}:{(2,1),(7,1),(9,1),(24,1),(34,1)}
         4:{1,2,3,5,6}:{(1,1),(8,1),(11,1),(26,1),(29,1),(34,1),(66,1),(67,1),(68,1),(70,1)}
         5:{1,2,4,7}:{(1,1),(8,1),(9,1),(99,1),(100,1)}
         6:{1,2,5,7}:{(2,1),(7,1),(11,1),(93,1),(94,1)}
         7:{3,5,7}:{(3,1),(6,1),(12,1),(13,1)}
         8:{1,2,4,6}:{(4,1),(5,1),(14,1),(15,1),(84,1),(85,1)}
         9:{3,4,7}:{(5,1),(14,1),(19,1)}
        10:{1,2,4,5,7}:{(5,1),(6,1),(12,1),(15,1),(19,1),(20,1),(39,1),(40,1),(50,1)}
        11:{1,2,5,6}:{(6,1),(13,1),(20,1),(75,1),(76,1)}
        12:{4,5,7}:{(7,1),(24,1)}
        13:{3,5,6}:{(7,1),(11,1),(24,1),(34,1)}
        14:{3,4,6}:{(8,1),(9,1),(29,1),(34,1)}
        15:{1,2,4,5}:{(8,1),(29,1),(63,1),(64,1),(66,1)}
        16:{1,2,3,7}:{(26,1),(31,1),(110,1)}
        17:{2,3,4,7}:{(9,1),(27,1),(31,1),(32,1),(57,1),(99,1),(110,1)}
        18:{1,3,4,7}:{(9,1),(28,1),(31,1),(33,1),(57,1),(100,1),(110,1)}
        19:{3,5,7}:{(9,1),(10,1),(29,1),(34,1)}
        20:{1,2,4,6}:{(10,1),(11,1),(24,1),(34,1),(59,1),(60,1),(70,1)}
        21:{1,2,5,6,7}:{(11,1),(25,1),(35,1),(93,1),(94,1)}
        22:{1,2,3,5,7}:{(16,1),(36,1),(38,1),(43,1),(50,1),(74,1),(78,1)}
        23:{3,4,5,7}:{(12,1),(19,1),(39,1),(40,1),(41,1),(44,1),(77,1),(78,1),(86,1),(102,1),(111,1)}
        24:{4,6}:{(12,1),(13,1)}
        25:{3,5,6,7}:{(13,1),(21,1),(42,1),(53,1),(77,1)}
        26:{1,2,3,6}:{(16,1),(43,1),(45,1),(106,1)}
        27:{2,3,4,6}:{(14,1),(17,1),(45,1),(46,1),(51,1),(73,1),(82,1),(84,1),(106,1)}
        28:{1,3,4,6}:{(14,1),(18,1),(45,1),(47,1),(52,1),(73,1),(82,1),(85,1),(106,1)}
        29:{3,5}:{(14,1),(15,1)}
        30:{1,2,4,5,6}:{(15,1),(20,1),(37,1),(48,1),(49,1),(75,1),(76,1),(84,1),(85,1),(87,1)}
        31:{1,2,4,7}:{(16,1),(17,1),(18,1),(45,1),(50,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(39,1),(46,1),(50,1),(51,1),(78,1)}
        33:{1,3,5,7}:{(18,1),(19,1),(40,1),(47,1),(50,1),(52,1),(78,1)}
        34:{3,6}:{(19,1),(20,1)}
        35:{1,2,4,6,7}:{(20,1),(21,1),(42,1),(49,1),(53,1),(80,1),(81,1),(90,1)}
        36:{1,2,3,6}:{(22,1),(54,1),(70,1),(95,1)}
        37:{4,5,6}:{(24,1),(55,1),(56,1),(108,1)}
        38:{1,2,4,7}:{(22,1),(54,1),(57,1),(62,1)}
        39:{2,4,5,7}:{(23,1),(32,1),(59,1),(63,1),(93,1),(99,1)}
        40:{1,4,5,7}:{(23,1),(33,1),(60,1),(64,1),(94,1),(100,1)}
        41:{3,4,6}:{(23,1),(24,1),(34,1),(55,1),(59,1),(60,1),(95,1),(108,1)}
        42:{4,6,7}:{(24,1),(25,1),(56,1)}
        43:{1,2,3,5}:{(26,1),(62,1),(66,1),(97,1)}
        44:{3,4,5}:{(29,1),(63,1),(64,1),(65,1),(97,1)}
        45:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(62,1),(66,1),(70,1)}
        46:{2,3,5}:{(27,1),(29,1),(63,1),(66,1),(91,1),(97,1)}
        47:{1,3,5}:{(28,1),(29,1),(64,1),(66,1),(91,1),(97,1)}
        48:{3,5,6}:{(29,1),(30,1),(34,1),(65,1),(69,1)}
        49:{1,2,4,5,7}:{(30,1),(35,1),(56,1),(69,1),(93,1),(94,1),(99,1),(100,1),(101,1)}
        50:{1,2,5,7}:{(31,1),(32,1),(33,1),(66,1),(70,1)}
        51:{2,3,6}:{(32,1),(34,1),(59,1),(70,1),(95,1)}
        52:{1,3,6}:{(33,1),(34,1),(60,1),(70,1),(95,1)}
        53:{3,6,7}:{(34,1),(35,1),(69,1)}
        54:{1,2,4,6}:{(36,1),(38,1),(73,1),(74,1)}
        55:{3,5,6}:{(37,1),(41,1),(75,1),(76,1),(77,1)}
        56:{4,5,7}:{(37,1),(42,1),(77,1),(111,1)}
        57:{3,4,7}:{(38,1),(73,1),(78,1),(82,1),(111,1)}
        58:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(50,1),(74,1),(78,1),(79,1),(83,1),(102,1),(104,1),(107,1),(111,1)}
        59:{2,4,6}:{(39,1),(41,1),(51,1),(75,1)}
        60:{1,4,6}:{(40,1),(41,1),(52,1),(76,1)}
        61:{3,4,6,7}:{(41,1),(42,1),(53,1),(77,1),(80,1),(81,1),(86,1),(105,1),(111,1)}
        62:{1,2,4}:{(43,1),(82,1)}
        63:{2,4,5}:{(44,1),(46,1),(84,1),(102,1)}
        64:{1,4,5}:{(44,1),(47,1),(85,1),(102,1)}
        65:{3,4,6}:{(44,1),(48,1),(84,1),(85,1),(86,1),(106,1)}
        66:{1,2,5}:{(45,1),(46,1),(47,1)}
        67:{2,3,5,6}:{(46,1),(48,1),(51,1),(75,1),(84,1),(87,1),(88,1),(103,1),(106,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(52,1),(76,1),(85,1),(87,1),(89,1),(103,1),(106,1)}
        69:{3,5,7}:{(48,1),(49,1),(53,1),(86,1)}
        70:{1,2,6}:{(50,1),(51,1),(52,1)}
        71:{2,3,6,7}:{(51,1),(53,1),(80,1),(88,1),(90,1),(105,1)}
        72:{1,3,6,7}:{(52,1),(53,1),(81,1),(89,1),(90,1),(105,1)}
        73:{3,4,6}:{(54,1),(57,1),(91,1),(95,1),(108,1)}
        74:{1,2,5}:{(54,1),(91,1)}
        75:{2,5,6}:{(55,1),(59,1),(93,1)}
        76:{1,5,6}:{(55,1),(60,1),(94,1)}
        77:{3,5,7}:{(55,1),(56,1),(61,1),(93,1),(94,1)}
        78:{3,5,7}:{(57,1),(58,1),(91,1),(95,1),(97,1),(110,1)}
        79:{1,2,4,6}:{(58,1),(59,1),(60,1),(70,1),(92,1),(95,1),(108,1)}
        80:{2,4,6,7}:{(59,1),(61,1),(71,1),(93,1),(99,1)}
        81:{1,4,6,7}:{(60,1),(61,1),(72,1),(94,1),(100,1)}
        82:{3,4}:{(62,1),(97,1)}
        83:{1,2,4,5}:{(62,1),(63,1),(64,1),(66,1),(97,1),(98,1)}
        84:{2,4,6}:{(63,1),(65,1),(67,1),(99,1),(108,1)}
        85:{1,4,6}:{(64,1),(65,1),(68,1),(100,1),(108,1)}
        86:{3,4,7}:{(65,1),(69,1),(99,1),(100,1),(110,1)}
        87:{1,2,5,6}:{(66,1),(67,1),(68,1),(70,1),(98,1),(101,1)}
        88:{2,3,5,7}:{(67,1),(69,1),(71,1),(93,1),(99,1),(101,1),(109,1),(110,1)}
        89:{1,3,5,7}:{(68,1),(69,1),(72,1),(94,1),(100,1),(101,1),(109,1),(110,1)}
        90:{1,2,6,7}:{(70,1),(71,1),(72,1),(101,1)}
        91:{3,5}:{(73,1),(74,1),(102,1)}
        92:{1,2,5,6}:{(74,1),(75,1),(76,1),(79,1),(103,1),(104,1)}
        93:{2,5,7}:{(75,1),(77,1),(80,1)}
        94:{1,5,7}:{(76,1),(77,1),(81,1)}
        95:{3,6}:{(78,1),(79,1)}
        96:{1,2,4,6,7}:{(79,1),(80,1),(81,1),(90,1),(104,1),(105,1),(107,1),(111,1)}
        97:{3,5}:{(82,1),(83,1),(106,1)}
        98:{1,2,4,6}:{(83,1),(84,1),(85,1),(87,1),(106,1),(107,1)}
        99:{2,4,7}:{(84,1),(86,1),(88,1),(111,1)}
       100:{1,4,7}:{(85,1),(86,1),(89,1),(111,1)}
       101:{1,2,5,7}:{(87,1),(88,1),(89,1),(90,1),(107,1)}
       102:{4,5}:{(91,1),(108,1)}
       103:{3,5,6}:{(91,1),(92,1),(95,1),(108,1),(109,1)}
       104:{1,2,5,7}:{(92,1),(93,1),(94,1),(96,1),(109,1)}
       105:{3,6,7}:{(95,1),(96,1),(109,1),(110,1)}
       106:{3,6}:{(97,1),(98,1),(110,1)}
       107:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(110,1)}
       108:{4,6}:{(102,1),(103,1),(111,1)}
       109:{3,5,7}:{(103,1),(104,1),(105,1),(111,1)}
       110:{3,7}:{(106,1),(107,1)}
       111:{4,7}:{(108,1),(109,1)}

 939 :   0:{1,4,5,6}:{(2,1),(3,1),(20,1),(78,1),(80,1)}
         1:{1,3,4,6}:{(5,1),(6,1),(7,1),(20,1),(35,1),(60,1),(75,1),(108,1),(127,1)}
         2:{3,5,6}:{(0,1),(8,1),(10,1),(11,1)}
         3:{1,4,5,7}:{(0,1),(11,1),(12,1),(39,1),(89,1),(91,1)}
         4:{3,4,5}:{(8,1),(13,1),(14,1),(50,1)}
         5:{1,3,5}:{(1,1),(13,1),(16,1),(50,1),(131,1),(150,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(19,1),(55,1),(57,1),(107,1)}
         7:{1,3,4,7}:{(1,1),(17,1),(19,1),(39,1),(87,1),(103,1),(132,1),(201,1)}
         8:{3,4,6}:{(2,1),(4,1),(20,1),(21,1),(22,1),(60,1)}
         9:{1,3,5,6}:{(2,1),(5,1),(20,1),(23,1),(24,1),(35,1),(60,1),(78,1),(128,1)}
        10:{2,5,6}:{(2,1),(21,1),(25,1)}
        11:{3,5,7}:{(2,1),(3,1),(22,1),(25,1),(26,1)}
        12:{1,4,6,7}:{(3,1),(26,1),(27,1),(69,1)}
        13:{1,4,5}:{(4,1),(5,1),(20,1),(170,1)}
        14:{2,4,5}:{(4,1),(21,1),(28,1)}
        15:{3,4,5,7}:{(4,1),(22,1),(30,1),(31,1),(32,1),(64,1),(76,1),(157,1),(160,1),(165,1),(170,1)}
        16:{1,2,5}:{(5,1),(6,1),(33,1),(130,1)}
        17:{1,3,5,7}:{(5,1),(7,1),(30,1),(34,1),(35,1),(76,1),(153,1),(188,1),(192,1)}
        18:{2,3,6}:{(6,1),(33,1),(36,1),(60,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(34,1),(36,1),(81,1),(207,1)}
        20:{1,4,6}:{(8,1),(9,1),(13,1),(39,1),(151,1)}
        21:{2,4,6}:{(8,1),(10,1),(14,1),(37,1),(40,1)}
        22:{3,4,7}:{(8,1),(11,1),(39,1),(40,1),(87,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(16,1),(38,1),(42,1),(43,1),(57,1),(131,1),(171,1)}
        24:{1,3,5,7}:{(9,1),(11,1),(39,1),(43,1),(44,1),(87,1),(89,1),(138,1)}
        25:{2,5,7}:{(10,1),(11,1),(40,1),(45,1)}
        26:{3,6,7}:{(11,1),(12,1),(45,1)}
        27:{1,5,6,7}:{(12,1),(46,1),(89,1),(142,1)}
        28:{2,3,5}:{(14,1),(37,1),(47,1),(48,1),(50,1)}
        29:{1,2,4,5}:{(13,1),(14,1),(16,1),(38,1),(48,1),(50,1),(55,1),(92,1),(99,1),(131,1)}
        30:{1,4,5,7}:{(13,1),(15,1),(17,1),(39,1),(52,1),(89,1),(175,1),(180,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(40,1),(49,1),(53,1),(90,1),(135,1),(145,1)}
        32:{3,4,6}:{(15,1),(52,1),(53,1),(54,1),(104,1),(151,1)}
        33:{2,3,5}:{(16,1),(18,1),(50,1),(55,1)}
        34:{1,2,5,7}:{(16,1),(17,1),(19,1),(56,1),(57,1),(200,1),(203,1)}
        35:{1,3,6}:{(17,1),(52,1),(57,1),(104,1),(171,1)}
        36:{2,3,7}:{(18,1),(19,1),(87,1),(209,1)}
        37:{2,3,6}:{(21,1),(28,1),(58,1),(59,1),(60,1)}
        38:{1,2,4,6}:{(20,1),(21,1),(23,1),(29,1),(58,1),(60,1),(61,1),(65,1),(108,1)}
        39:{1,4,7}:{(20,1),(22,1),(24,1),(160,1)}
        40:{2,4,7}:{(21,1),(22,1),(25,1),(59,1)}
        41:{3,4,6,7}:{(22,1),(26,1),(32,1),(62,1),(63,1),(64,1),(69,1),(114,1),(119,1),(157,1),(160,1)}
        42:{2,3,5,6}:{(23,1),(33,1),(60,1),(65,1),(66,1),(82,1),(112,1),(128,1),(130,1),(158,1),(162,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(25,1),(61,1),(66,1),(67,1),(153,1)}
        44:{1,3,6,7}:{(24,1),(26,1),(35,1),(62,1),(67,1),(114,1),(188,1)}
        45:{2,6,7}:{(25,1),(26,1)}
        46:{3,5,6,7}:{(26,1),(27,1),(64,1),(68,1),(69,1),(119,1)}
        47:{2,3,4}:{(28,1),(70,1),(75,1)}
        48:{1,2,5}:{(28,1),(58,1),(70,1),(72,1)}
        49:{2,3,5,7}:{(28,1),(31,1),(59,1),(71,1),(73,1),(74,1),(76,1),(122,1),(206,1)}
        50:{3,5}:{(29,1),(60,1),(75,1)}
        51:{1,2,4,5,7}:{(29,1),(30,1),(31,1),(34,1),(61,1),(73,1),(76,1),(77,1),(81,1),(115,1),(117,1),(123,1),(130,1),(153,1),(156,1),(160,1),(164,1),(166,1),(170,1),(186,1),(206,1)}
        52:{1,4,6}:{(30,1),(32,1),(35,1),(78,1)}
        53:{2,4,6}:{(31,1),(32,1),(74,1),(79,1)}
        54:{3,5,6}:{(32,1),(64,1),(78,1),(79,1),(80,1)}
        55:{2,4}:{(33,1),(75,1)}
        56:{2,3,5,7}:{(33,1),(34,1),(36,1),(76,1),(81,1),(82,1),(130,1),(189,1),(193,1),(206,1)}
        57:{1,2,6}:{(34,1),(35,1),(82,1)}
        58:{1,2,6}:{(37,1),(48,1),(83,1),(84,1)}
        59:{2,3,7}:{(37,1),(40,1),(84,1),(87,1)}
        60:{3,6}:{(38,1),(50,1),(87,1)}
        61:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(84,1),(87,1),(93,1),(132,1)}
        62:{1,4,6,7}:{(39,1),(41,1),(44,1),(52,1),(89,1),(142,1),(175,1)}
        63:{2,4,6,7}:{(40,1),(41,1),(45,1),(53,1),(85,1),(90,1),(135,1)}
        64:{3,5,7}:{(41,1),(54,1),(89,1),(90,1),(91,1)}
        65:{2,4,6}:{(42,1),(55,1),(86,1),(92,1),(93,1),(151,1)}
        66:{2,3,5,7}:{(42,1),(43,1),(87,1),(93,1),(94,1),(136,1),(138,1),(141,1)}
        67:{1,2,6,7}:{(43,1),(44,1),(45,1),(57,1),(94,1),(171,1),(200,1)}
        68:{2,5,6,7}:{(45,1),(46,1),(90,1),(95,1)}
        69:{4,6,7}:{(46,1),(91,1)}
        70:{1,2,4}:{(47,1),(48,1),(96,1),(99,1)}
        71:{2,3,4,7}:{(47,1),(49,1),(97,1),(98,1),(103,1),(135,1),(174,1),(199,1)}
        72:{1,3,5}:{(48,1),(50,1),(83,1),(96,1),(99,1),(131,1)}
        73:{1,2,5,7}:{(48,1),(49,1),(84,1),(97,1),(100,1),(101,1),(144,1)}
        74:{2,3,6}:{(49,1),(53,1),(101,1),(104,1),(208,1)}
        75:{3,4}:{(50,1),(55,1),(99,1)}
        76:{3,5,7}:{(50,1),(51,1),(87,1),(103,1),(104,1),(150,1),(174,1),(179,1)}
        77:{1,2,4,6}:{(51,1),(52,1),(53,1),(57,1),(101,1),(104,1),(105,1),(107,1),(140,1),(146,1),(151,1),(171,1),(197,1),(208,1)}
        78:{1,5,6}:{(52,1),(54,1),(89,1)}
        79:{2,5,6}:{(53,1),(54,1),(90,1)}
        80:{4,5,6}:{(54,1),(91,1),(151,1)}
        81:{2,4,7}:{(55,1),(56,1),(103,1),(107,1),(202,1)}
        82:{2,3,6}:{(56,1),(57,1),(104,1),(107,1),(208,1)}
        83:{1,3,6}:{(58,1),(60,1),(72,1),(108,1),(109,1)}
        84:{1,2,7}:{(58,1),(59,1),(109,1)}
        85:{2,3,6,7}:{(59,1),(63,1),(74,1),(110,1),(111,1),(114,1),(119,1)}
        86:{3,4,6}:{(60,1),(65,1),(75,1),(108,1),(112,1),(113,1),(158,1)}
        87:{3,7}:{(60,1),(61,1)}
        88:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(67,1),(77,1),(110,1),(114,1),(115,1),(118,1),(154,1),(156,1),(160,1)}
        89:{1,5,7}:{(62,1),(64,1),(78,1)}
        90:{2,5,7}:{(63,1),(64,1),(79,1)}
        91:{4,5,7}:{(64,1),(69,1),(80,1),(160,1)}
        92:{2,4,5}:{(65,1),(112,1),(130,1),(170,1)}
        93:{2,4,7}:{(65,1),(66,1),(113,1),(160,1)}
        94:{2,3,6,7}:{(66,1),(67,1),(82,1),(114,1),(118,1),(158,1),(189,1)}
        95:{2,4,6,7}:{(68,1),(69,1),(116,1),(119,1)}
        96:{1,3}:{(70,1)}
        97:{1,2,4,7}:{(70,1),(71,1),(73,1),(120,1),(121,1),(123,1)}
        98:{2,3,4,6}:{(71,1),(74,1),(121,1),(122,1),(126,1),(127,1),(168,1),(191,1),(195,1)}
        99:{1,4}:{(72,1),(75,1)}
       100:{1,3,5,7}:{(72,1),(73,1),(76,1),(109,1),(120,1),(123,1),(124,1),(153,1),(163,1),(166,1)}
       101:{1,2,6}:{(73,1),(74,1),(124,1)}
       102:{2,3,5,6}:{(74,1),(79,1),(111,1),(122,1),(125,1),(126,1),(128,1),(129,1),(168,1)}
       103:{3,4,7}:{(75,1),(76,1),(81,1),(123,1),(127,1),(160,1),(191,1)}
       104:{3,6}:{(76,1),(77,1)}
       105:{1,2,5,6}:{(77,1),(78,1),(79,1),(115,1),(128,1),(130,1),(162,1),(166,1),(185,1)}
       106:{2,4,5,6}:{(79,1),(80,1),(116,1),(126,1),(129,1)}
       107:{2,4,6}:{(81,1),(82,1),(127,1),(130,1)}
       108:{1,4,6}:{(83,1),(86,1),(99,1),(131,1),(132,1),(171,1)}
       109:{1,3,7}:{(83,1),(84,1),(87,1),(132,1)}
       110:{1,2,6,7}:{(84,1),(85,1),(101,1),(133,1),(134,1),(142,1),(208,1)}
       111:{2,3,5,7}:{(85,1),(90,1),(102,1),(134,1),(135,1),(138,1),(139,1),(174,1)}
       112:{3,5}:{(86,1),(92,1),(131,1)}
       113:{3,4,7}:{(86,1),(87,1),(93,1),(132,1),(136,1)}
       114:{3,6,7}:{(87,1),(88,1),(104,1),(138,1),(174,1)}
       115:{1,2,5,7}:{(88,1),(89,1),(90,1),(105,1),(138,1),(141,1),(172,1)}
       116:{2,4,5,7}:{(90,1),(91,1),(95,1),(106,1),(135,1),(139,1)}
       117:{2,4,5,7}:{(92,1),(93,1),(136,1),(140,1),(141,1),(177,1)}
       118:{2,4,6,7}:{(93,1),(94,1),(107,1),(137,1),(140,1),(141,1),(199,1),(208,1)}
       119:{3,6,7}:{(95,1),(139,1),(142,1)}
       120:{1,3,7}:{(96,1),(97,1),(143,1),(174,1)}
       121:{1,2,4,6}:{(97,1),(98,1),(101,1),(143,1),(144,1),(146,1),(178,1)}
       122:{2,3,5}:{(98,1),(144,1),(145,1),(150,1),(179,1),(204,1)}
       123:{1,4,7}:{(99,1),(100,1),(103,1),(146,1),(178,1)}
       124:{1,3,6}:{(100,1),(101,1),(104,1),(146,1),(171,1)}
       125:{1,2,5,6}:{(101,1),(102,1),(134,1),(144,1),(147,1),(148,1),(152,1),(204,1),(208,1)}
       126:{2,4,6}:{(102,1),(135,1),(145,1),(149,1),(151,1)}
       127:{3,4,6}:{(103,1),(104,1),(107,1),(146,1),(150,1),(151,1)}
       128:{3,5,6}:{(104,1),(105,1),(138,1),(150,1),(151,1)}
       129:{3,5,6}:{(106,1),(139,1),(149,1),(152,1)}
       130:{2,5}:{(107,1),(150,1)}
       131:{1,5}:{(108,1),(112,1)}
       132:{1,4,7}:{(108,1),(109,1),(113,1),(153,1)}
       133:{1,3,6,7}:{(109,1),(110,1),(114,1),(124,1),(154,1),(155,1),(205,1)}
       134:{1,2,5,7}:{(110,1),(111,1),(125,1),(155,1),(156,1),(161,1),(206,1)}
       135:{2,4,7}:{(111,1),(126,1),(157,1),(160,1)}
       136:{3,5,7}:{(112,1),(113,1),(117,1),(153,1),(158,1)}
       137:{3,4,6,7}:{(113,1),(114,1),(118,1),(127,1),(154,1),(158,1),(159,1),(160,1),(187,1),(190,1),(205,1)}
       138:{3,5,7}:{(114,1),(115,1),(128,1),(160,1)}
       139:{3,5,7}:{(116,1),(119,1),(129,1),(157,1),(161,1)}
       140:{2,4,6}:{(117,1),(158,1),(162,1),(190,1)}
       141:{2,5,7}:{(118,1),(130,1),(159,1),(162,1)}
       142:{1,6,7}:{(119,1),(161,1)}
       143:{1,3,6}:{(120,1),(121,1),(163,1),(168,1)}
       144:{1,2,5}:{(121,1),(122,1),(163,1),(166,1)}
       145:{2,4,5}:{(122,1),(126,1),(165,1),(170,1)}
       146:{1,4,6}:{(123,1),(124,1),(127,1),(166,1)}
       147:{1,3,5,6}:{(124,1),(125,1),(128,1),(155,1),(163,1),(166,1),(167,1),(168,1),(185,1),(194,1),(205,1)}
       148:{1,2,4,6}:{(125,1),(126,1),(156,1),(164,1),(167,1),(168,1),(169,1),(195,1),(196,1)}
       149:{3,4,6}:{(126,1),(129,1),(157,1),(165,1),(168,1),(169,1)}
       150:{3,5}:{(127,1),(130,1),(166,1),(170,1)}
       151:{4,6}:{(128,1),(160,1),(170,1)}
       152:{1,5,6}:{(129,1),(161,1),(169,1)}
       153:{1,5,7}:{(131,1),(132,1),(136,1),(171,1)}
       154:{1,4,6,7}:{(132,1),(133,1),(137,1),(146,1),(171,1),(172,1),(173,1),(197,1)}
       155:{1,3,5,7}:{(133,1),(134,1),(138,1),(147,1),(172,1),(173,1),(174,1),(198,1)}
       156:{1,2,4,7}:{(134,1),(135,1),(148,1),(173,1),(174,1),(175,1),(199,1),(200,1)}
       157:{3,4,7}:{(135,1),(139,1),(149,1),(174,1),(175,1)}
       158:{3,6}:{(136,1),(140,1),(171,1)}
       159:{3,5,7}:{(137,1),(141,1),(150,1),(172,1),(176,1),(177,1)}
       160:{4,7}:{(138,1),(151,1)}
       161:{1,5,7}:{(139,1),(142,1),(152,1),(175,1)}
       162:{2,5,6}:{(140,1),(141,1),(176,1),(208,1)}
       163:{1,3,5}:{(143,1),(144,1),(178,1),(179,1)}
       164:{1,2,4,5}:{(144,1),(145,1),(148,1),(178,1),(179,1),(180,1),(181,1),(202,1),(203,1),(204,1)}
       165:{3,4,5}:{(145,1),(149,1),(179,1),(180,1)}
       166:{1,5}:{(146,1),(150,1)}
       167:{1,4,6}:{(147,1),(151,1),(173,1),(178,1),(181,1),(182,1)}
       168:{3,6}:{(148,1),(174,1),(179,1)}
       169:{1,4,6}:{(149,1),(152,1),(175,1),(180,1),(183,1)}
       170:{4,5}:{(150,1),(151,1)}
       171:{1,6}:{(153,1),(158,1)}
       172:{1,5,7}:{(154,1),(159,1),(166,1),(185,1)}
       173:{1,4,7}:{(155,1),(160,1),(167,1),(187,1)}
       174:{3,7}:{(156,1),(168,1)}
       175:{1,4,7}:{(157,1),(161,1),(169,1),(188,1)}
       176:{3,5,6}:{(158,1),(159,1),(162,1),(185,1),(190,1),(205,1)}
       177:{4,5,7}:{(159,1),(160,1),(170,1),(190,1)}
       178:{1,4}:{(163,1),(191,1)}
       179:{3,5}:{(164,1),(168,1),(191,1)}
       180:{1,4,5}:{(165,1),(169,1),(192,1)}
       181:{1,4,5}:{(166,1),(167,1),(170,1),(194,1)}
       182:{3,4,6}:{(167,1),(168,1),(187,1),(191,1),(194,1),(195,1),(205,1)}
       183:{1,3,6}:{(168,1),(169,1),(188,1),(192,1),(196,1)}
       184:{2,3,6}:{(168,1),(189,1),(193,1),(195,1),(196,1)}
       185:{1,5,6}:{(171,1),(172,1),(176,1),(197,1)}
       186:{1,4,5,7}:{(172,1),(173,1),(177,1),(181,1),(197,1),(198,1)}
       187:{3,4,7}:{(173,1),(174,1),(182,1),(198,1),(199,1)}
       188:{1,3,7}:{(174,1),(175,1),(183,1),(200,1)}
       189:{2,3,7}:{(174,1),(184,1),(199,1),(200,1)}
       190:{4,6}:{(176,1),(177,1)}
       191:{3,4}:{(178,1),(179,1),(202,1)}
       192:{1,3,5}:{(179,1),(180,1),(183,1),(201,1),(203,1)}
       193:{2,3,5}:{(179,1),(184,1),(202,1),(203,1),(204,1),(209,1)}
       194:{3,5}:{(181,1),(182,1),(204,1)}
       195:{2,4,6}:{(182,1),(184,1),(199,1),(202,1),(204,1),(208,1)}
       196:{1,2,6}:{(183,1),(184,1),(200,1),(203,1)}
       197:{1,4,6}:{(185,1),(186,1),(190,1),(205,1)}
       198:{3,5,7}:{(186,1),(187,1),(194,1),(205,1),(206,1)}
       199:{2,4,7}:{(187,1),(189,1),(195,1),(206,1)}
       200:{1,2,7}:{(188,1),(189,1),(196,1)}
       201:{1,3,4}:{(191,1),(192,1),(207,1)}
       202:{2,4}:{(191,1),(193,1)}
       203:{1,2,5}:{(192,1),(193,1),(196,1),(207,1)}
       204:{2,5}:{(194,1),(195,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{2,5,7}:{(198,1),(199,1),(204,1),(208,1)}
       207:{1,2,4}:{(201,1),(202,1),(203,1),(209,1)}
       208:{2,6}:{(205,1),(206,1)}
       209:{2,3}:{(207,1)}

 940 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(25,1),(64,1),(75,1),(77,1),(117,1),(123,1),(134,1)}
         1:{1,2,4,5,7}:{(0,1),(3,1),(4,1),(14,1),(20,1),(45,1),(51,1),(53,1)}
         2:{2,3,4,6}:{(0,1),(4,1),(6,1),(54,1),(144,1),(152,1),(162,1)}
         3:{1,3,5,7}:{(1,1),(8,1),(9,1),(32,1),(123,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(34,1)}
         5:{2,3,4,6,7}:{(2,1),(10,1),(12,1),(38,1),(77,1),(80,1),(137,1)}
         6:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(37,1),(64,1),(185,1)}
         7:{1,2,3,5,7}:{(3,1),(14,1),(15,1),(41,1),(45,1)}
         8:{1,3,4,7}:{(3,1),(14,1),(17,1),(53,1),(95,1)}
         9:{1,3,6}:{(3,1),(4,1),(152,1)}
        10:{1,2,4,6,7}:{(4,1),(5,1),(18,1),(20,1),(53,1)}
        11:{1,2,5,6}:{(4,1),(6,1),(19,1),(20,1),(45,1)}
        12:{2,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(56,1),(164,1)}
        13:{2,4,5,6}:{(6,1),(23,1),(24,1),(89,1),(144,1)}
        14:{1,2,4,7}:{(7,1),(8,1),(25,1),(27,1)}
        15:{1,2,3,6}:{(7,1),(9,1),(27,1),(62,1)}
        16:{1,3,4,5,7}:{(8,1),(26,1),(30,1),(32,1),(71,1),(74,1),(118,1),(123,1),(167,1),(172,1)}
        17:{1,3,4,6}:{(8,1),(9,1),(27,1),(32,1),(34,1),(70,1)}
        18:{1,3,6,7}:{(9,1),(10,1),(33,1),(80,1)}
        19:{1,3,5,6}:{(9,1),(11,1),(32,1),(33,1),(34,1),(37,1)}
        20:{1,2,5,7}:{(10,1),(11,1),(12,1),(33,1)}
        21:{1,2,4,5,6}:{(11,1),(13,1),(34,1),(36,1),(37,1),(40,1),(68,1),(79,1),(83,1),(122,1),(132,1),(185,1)}
        22:{2,3,5,6,7}:{(12,1),(35,1),(38,1),(80,1),(84,1),(116,1)}
        23:{2,4,5,7}:{(12,1),(13,1),(38,1),(39,1)}
        24:{3,4,5,6}:{(13,1),(37,1),(39,1),(40,1),(118,1),(171,1)}
        25:{2,3,4,7}:{(14,1),(41,1),(42,1),(95,1),(142,1)}
        26:{1,2,4,5,7}:{(14,1),(16,1),(41,1),(43,1),(45,1),(89,1),(90,1),(142,1)}
        27:{1,2,4,6}:{(14,1),(15,1),(17,1),(42,1),(45,1)}
        28:{1,2,3,6,7}:{(15,1),(18,1),(44,1),(46,1),(86,1),(111,1),(152,1),(195,1),(198,1)}
        29:{1,2,3,5,6}:{(15,1),(19,1),(45,1),(46,1),(47,1),(58,1),(87,1),(92,1),(94,1),(150,1),(152,1),(155,1),(157,1),(198,1)}
        30:{1,3,4,6}:{(16,1),(43,1),(49,1),(101,1),(143,1),(152,1),(193,1)}
        31:{1,3,4,6,7}:{(17,1),(18,1),(44,1),(50,1),(53,1),(95,1),(101,1),(106,1),(152,1)}
        32:{1,3,5}:{(17,1),(45,1),(51,1),(94,1)}
        33:{1,3,5,7}:{(18,1),(19,1),(20,1),(53,1),(56,1)}
        34:{1,4,6}:{(19,1),(51,1),(53,1),(54,1)}
        35:{1,2,5,6,7}:{(20,1),(22,1),(52,1),(55,1),(92,1),(113,1),(164,1)}
        36:{1,2,4,5,7}:{(20,1),(21,1),(23,1),(53,1),(55,1),(56,1),(61,1),(105,1),(108,1),(112,1),(164,1)}
        37:{3,5,6}:{(21,1),(54,1),(56,1),(94,1),(152,1)}
        38:{2,4,6,7}:{(22,1),(23,1),(60,1),(144,1)}
        39:{3,4,5,7}:{(23,1),(24,1),(56,1),(60,1),(61,1)}
        40:{1,4,5,6}:{(24,1),(57,1),(61,1),(146,1),(193,1)}
        41:{2,3,5,7}:{(25,1),(26,1),(62,1),(64,1),(123,1)}
        42:{2,3,4,6}:{(25,1),(27,1),(62,1),(64,1),(70,1),(115,1)}
        43:{1,2,4,6}:{(26,1),(30,1),(62,1),(66,1),(115,1)}
        44:{1,2,4,6,7}:{(27,1),(28,1),(31,1),(63,1),(67,1),(69,1),(122,1),(137,1),(202,1)}
        45:{1,2,5}:{(27,1),(32,1),(64,1)}
        46:{1,2,3,5,7}:{(28,1),(29,1),(33,1),(67,1),(69,1),(82,1),(114,1),(123,1),(175,1),(180,1),(182,1)}
        47:{1,2,4,6}:{(29,1),(34,1),(68,1),(69,1),(70,1),(79,1),(115,1),(168,1)}
        48:{1,3,4,6,7}:{(30,1),(65,1),(71,1),(129,1),(167,1),(174,1),(202,1)}
        49:{1,3,5,6}:{(30,1),(32,1),(66,1),(71,1),(72,1),(121,1),(205,1)}
        50:{1,3,5,7}:{(31,1),(32,1),(67,1),(73,1),(74,1),(123,1),(136,1)}
        51:{1,4,5}:{(32,1),(34,1),(75,1)}
        52:{1,3,5,6,7}:{(33,1),(35,1),(73,1),(76,1),(80,1),(136,1)}
        53:{1,4,7}:{(33,1),(34,1),(77,1)}
        54:{3,4,6}:{(34,1),(37,1),(75,1),(77,1),(79,1)}
        55:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(76,1),(80,1),(85,1),(122,1),(137,1),(140,1)}
        56:{3,5,7}:{(36,1),(37,1),(77,1),(80,1)}
        57:{1,3,5,6}:{(37,1),(40,1),(78,1),(81,1),(83,1),(124,1),(178,1)}
        58:{2,3,5,6}:{(37,1),(79,1),(82,1),(83,1),(125,1),(139,1),(179,1),(185,1)}
        59:{2,4,5,6,7}:{(38,1),(84,1),(170,1)}
        60:{3,4,6,7}:{(38,1),(39,1),(80,1),(84,1),(85,1),(171,1)}
        61:{1,4,5,7}:{(39,1),(40,1),(81,1),(85,1)}
        62:{2,3,6}:{(41,1),(43,1),(152,1)}
        63:{2,3,4,6,7}:{(42,1),(44,1),(86,1),(88,1),(95,1),(142,1),(144,1),(152,1),(188,1)}
        64:{2,3,5}:{(42,1),(45,1),(89,1),(94,1)}
        65:{1,2,4,6,7}:{(43,1),(48,1),(86,1),(90,1),(142,1)}
        66:{1,2,5,6}:{(43,1),(45,1),(49,1),(87,1),(90,1)}
        67:{1,2,5,7}:{(44,1),(45,1),(50,1),(88,1),(92,1),(164,1),(208,1)}
        68:{1,2,4,5}:{(45,1),(47,1),(51,1),(89,1),(94,1),(104,1),(146,1),(155,1)}
        69:{1,2,4,7}:{(46,1),(47,1),(53,1),(95,1),(108,1),(142,1),(189,1)}
        70:{3,4,6}:{(47,1),(94,1),(95,1),(152,1)}
        71:{1,3,5,7}:{(48,1),(49,1),(90,1),(99,1),(149,1),(208,1)}
        72:{1,4,5,6}:{(49,1),(51,1),(99,1),(100,1),(101,1)}
        73:{1,3,5,6}:{(50,1),(92,1),(101,1),(152,1),(161,1)}
        74:{1,4,5,7}:{(50,1),(51,1),(53,1),(101,1),(102,1)}
        75:{3,4,5}:{(51,1),(54,1),(94,1),(104,1)}
        76:{1,4,6,7}:{(52,1),(53,1),(101,1),(105,1),(106,1)}
        77:{3,4,7}:{(53,1),(54,1),(56,1),(108,1)}
        78:{1,3,4,6}:{(54,1),(57,1),(103,1),(107,1),(109,1)}
        79:{2,4,6}:{(54,1),(58,1),(104,1),(108,1)}
        80:{3,6,7}:{(55,1),(56,1),(152,1)}
        81:{1,3,5,7}:{(56,1),(57,1),(61,1),(107,1),(110,1),(112,1)}
        82:{2,3,5,7}:{(56,1),(58,1),(108,1),(111,1),(112,1),(164,1),(165,1)}
        83:{1,2,5,6}:{(57,1),(58,1),(109,1),(112,1),(155,1),(198,1)}
        84:{3,5,6,7}:{(59,1),(60,1),(113,1),(192,1)}
        85:{1,4,6,7}:{(60,1),(61,1),(110,1),(113,1),(193,1)}
        86:{2,3,6,7}:{(62,1),(65,1),(114,1),(174,1)}
        87:{2,3,5,6}:{(62,1),(64,1),(66,1),(114,1),(115,1),(121,1)}
        88:{2,3,5,7}:{(63,1),(64,1),(67,1),(116,1),(117,1),(123,1),(201,1)}
        89:{2,4,5}:{(64,1),(115,1),(118,1)}
        90:{1,2,5,7}:{(65,1),(66,1),(71,1),(114,1)}
        91:{1,2,4,5,6}:{(66,1),(68,1),(72,1),(115,1),(120,1),(121,1),(122,1),(131,1),(168,1),(170,1),(177,1),(205,1)}
        92:{1,2,5,6}:{(67,1),(73,1),(116,1),(122,1),(185,1),(205,1)}
        93:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(74,1),(117,1),(122,1),(123,1),(134,1),(172,1),(180,1)}
        94:{3,5}:{(68,1),(70,1)}
        95:{3,4,7}:{(69,1),(70,1),(123,1)}
        96:{1,3,4,6}:{(70,1),(124,1),(126,1),(128,1),(168,1),(178,1),(204,1),(206,1)}
        97:{2,3,4,6}:{(70,1),(79,1),(125,1),(127,1),(128,1),(139,1),(179,1),(186,1)}
        98:{1,3,5,6,7}:{(71,1),(73,1),(119,1),(129,1),(174,1),(183,1)}
        99:{1,4,5,7}:{(71,1),(72,1),(129,1),(130,1)}
       100:{3,4,5,6}:{(72,1),(75,1),(121,1),(130,1),(131,1),(133,1)}
       101:{1,4,6}:{(73,1),(74,1),(133,1)}
       102:{3,4,5,7}:{(74,1),(75,1),(77,1),(123,1),(133,1),(134,1),(136,1)}
       103:{1,3,4,5}:{(75,1),(78,1),(124,1),(135,1),(206,1)}
       104:{2,4,5}:{(75,1),(79,1),(125,1)}
       105:{1,4,5,7}:{(76,1),(132,1),(136,1)}
       106:{3,4,6,7}:{(76,1),(77,1),(80,1),(133,1),(136,1),(137,1)}
       107:{1,3,4,7}:{(77,1),(78,1),(81,1),(138,1)}
       108:{2,4,7}:{(77,1),(79,1),(82,1)}
       109:{1,2,4,6}:{(78,1),(79,1),(83,1),(135,1),(138,1),(139,1)}
       110:{1,3,6,7}:{(80,1),(81,1),(85,1),(140,1),(178,1)}
       111:{2,3,6,7}:{(80,1),(82,1),(137,1),(140,1),(179,1)}
       112:{1,2,5,7}:{(81,1),(82,1),(83,1),(138,1),(140,1)}
       113:{1,5,6,7}:{(84,1),(85,1),(205,1)}
       114:{2,3,5,7}:{(86,1),(87,1),(90,1),(142,1),(149,1)}
       115:{2,4,6}:{(87,1),(89,1),(142,1),(143,1)}
       116:{2,3,5,6}:{(88,1),(92,1),(144,1),(152,1),(192,1)}
       117:{2,4,5,7}:{(88,1),(89,1),(142,1),(144,1),(145,1)}
       118:{3,4,5}:{(89,1),(94,1),(143,1),(146,1)}
       119:{1,2,5,6,7}:{(90,1),(92,1),(98,1),(141,1),(148,1),(200,1),(208,1)}
       120:{1,2,4,5,7}:{(90,1),(91,1),(99,1),(142,1),(148,1),(149,1),(160,1),(187,1),(189,1),(197,1),(208,1)}
       121:{3,5,6}:{(91,1),(94,1),(143,1),(149,1),(152,1)}
       122:{1,2,4,6}:{(92,1),(93,1),(101,1),(144,1),(152,1),(162,1),(193,1),(198,1)}
       123:{3,5,7}:{(93,1),(94,1),(95,1),(152,1)}
       124:{1,3,5}:{(94,1),(96,1),(146,1),(155,1)}
       125:{2,3,5}:{(94,1),(97,1),(104,1),(155,1)}
       126:{1,3,4,7}:{(95,1),(96,1),(153,1),(156,1),(189,1),(209,1)}
       127:{2,3,4,7}:{(95,1),(97,1),(108,1),(154,1),(156,1),(165,1)}
       128:{1,2,4,6}:{(96,1),(97,1),(155,1),(156,1),(157,1),(198,1),(199,1)}
       129:{1,4,6,7}:{(98,1),(99,1),(101,1),(159,1)}
       130:{3,4,5,7}:{(99,1),(100,1),(149,1),(159,1),(160,1)}
       131:{2,4,5,6}:{(100,1),(104,1),(151,1),(160,1),(162,1)}
       132:{1,4,5,6}:{(101,1),(105,1),(161,1)}
       133:{3,4,6}:{(101,1),(102,1),(152,1),(161,1),(162,1)}
       134:{2,4,5,7}:{(102,1),(104,1),(108,1),(154,1),(162,1),(164,1)}
       135:{1,2,4,5}:{(103,1),(104,1),(109,1),(155,1),(163,1),(199,1)}
       136:{3,5,7}:{(105,1),(106,1),(161,1),(164,1)}
       137:{2,4,6,7}:{(106,1),(108,1),(111,1),(162,1),(164,1)}
       138:{1,2,4,7}:{(107,1),(108,1),(109,1),(112,1),(165,1)}
       139:{2,3,6}:{(109,1),(163,1),(165,1)}
       140:{1,2,6,7}:{(110,1),(111,1),(112,1),(198,1)}
       141:{2,3,5,6,7}:{(114,1),(116,1),(119,1),(166,1),(174,1),(201,1)}
       142:{2,4,7}:{(114,1),(115,1),(167,1)}
       143:{3,4,6}:{(115,1),(118,1),(121,1),(167,1),(168,1)}
       144:{2,4,6}:{(116,1),(117,1),(171,1)}
       145:{3,4,5,7}:{(117,1),(118,1),(123,1),(167,1),(171,1),(172,1),(201,1)}
       146:{1,4,5}:{(118,1),(124,1),(168,1)}
       147:{2,3,4,5}:{(118,1),(125,1),(169,1),(173,1),(186,1)}
       148:{1,2,4,6,7}:{(119,1),(120,1),(122,1),(129,1),(166,1),(174,1),(184,1),(202,1),(207,1)}
       149:{3,5,7}:{(120,1),(121,1),(167,1),(174,1)}
       150:{1,3,5,6}:{(121,1),(124,1),(168,1),(175,1),(177,1),(178,1),(204,1),(205,1)}
       151:{2,3,5,6}:{(121,1),(125,1),(131,1),(169,1),(176,1),(177,1),(179,1)}
       152:{3,6}:{(122,1),(123,1)}
       153:{1,3,5,7}:{(123,1),(124,1),(126,1),(172,1),(178,1),(180,1)}
       154:{2,3,5,7}:{(123,1),(125,1),(127,1),(134,1),(179,1),(180,1)}
       155:{1,2,5}:{(124,1),(125,1),(128,1)}
       156:{1,2,4,7}:{(126,1),(127,1),(128,1),(180,1),(182,1)}
       157:{1,2,3,6}:{(128,1),(139,1),(181,1),(182,1),(204,1)}
       158:{1,4,5,6,7}:{(129,1),(132,1),(183,1)}
       159:{3,4,6,7}:{(129,1),(130,1),(133,1),(174,1),(183,1),(184,1)}
       160:{2,4,5,7}:{(130,1),(131,1),(176,1),(184,1)}
       161:{3,5,6}:{(132,1),(133,1),(136,1),(185,1)}
       162:{2,4,6}:{(133,1),(134,1),(179,1),(185,1)}
       163:{2,3,5}:{(135,1),(139,1),(186,1)}
       164:{2,5,7}:{(136,1),(137,1),(185,1)}
       165:{2,3,7}:{(138,1),(139,1)}
       166:{2,4,6,7}:{(141,1),(142,1),(144,1),(187,1),(188,1)}
       167:{3,4,7}:{(142,1),(143,1),(149,1),(189,1)}
       168:{1,4,6}:{(143,1),(146,1),(150,1),(189,1)}
       169:{2,3,4,6}:{(143,1),(147,1),(151,1),(190,1),(191,1)}
       170:{2,4,5,6}:{(144,1),(187,1),(192,1)}
       171:{3,4,6}:{(144,1),(145,1),(152,1),(192,1),(193,1)}
       172:{1,4,5,7}:{(145,1),(146,1),(153,1),(189,1),(193,1),(208,1)}
       173:{1,2,4,5}:{(146,1),(147,1),(155,1),(191,1),(194,1),(199,1)}
       174:{3,6,7}:{(148,1),(149,1),(152,1)}
       175:{1,3,5,7}:{(149,1),(150,1),(189,1),(195,1),(197,1),(208,1),(209,1)}
       176:{2,3,5,7}:{(149,1),(151,1),(160,1),(190,1),(196,1),(197,1)}
       177:{1,2,5,6}:{(150,1),(151,1),(155,1),(191,1),(197,1),(198,1)}
       178:{1,3,6}:{(152,1),(153,1),(193,1),(198,1)}
       179:{2,3,6}:{(152,1),(154,1),(162,1),(198,1)}
       180:{1,2,5,7}:{(153,1),(154,1),(155,1),(156,1),(198,1)}
       181:{1,2,3,5}:{(155,1),(157,1),(163,1),(194,1),(199,1)}
       182:{1,2,3,7}:{(156,1),(157,1),(165,1),(209,1)}
       183:{3,5,6,7}:{(158,1),(159,1),(161,1),(200,1)}
       184:{2,4,6,7}:{(159,1),(160,1),(162,1),(196,1),(200,1)}
       185:{2,5,6}:{(161,1),(162,1),(164,1)}
       186:{2,3,4}:{(163,1),(199,1)}
       187:{2,4,5,7}:{(166,1),(170,1),(201,1)}
       188:{3,4,6,7}:{(166,1),(167,1),(171,1),(174,1),(201,1),(202,1)}
       189:{1,4,7}:{(167,1),(168,1),(175,1)}
       190:{2,3,4,7}:{(167,1),(169,1),(176,1),(203,1)}
       191:{1,2,4,6}:{(168,1),(169,1),(173,1),(177,1),(203,1),(204,1)}
       192:{3,5,6}:{(170,1),(171,1),(201,1),(205,1)}
       193:{1,4,6}:{(171,1),(172,1),(178,1),(205,1)}
       194:{1,3,5}:{(173,1),(204,1),(206,1)}
       195:{1,3,6,7}:{(174,1),(175,1),(178,1),(202,1),(207,1)}
       196:{2,3,6,7}:{(174,1),(176,1),(179,1),(184,1),(207,1)}
       197:{1,2,5,7}:{(175,1),(176,1),(177,1),(203,1),(207,1)}
       198:{1,2,6}:{(178,1),(179,1),(180,1)}
       199:{1,2,4}:{(181,1),(186,1),(206,1)}
       200:{2,5,6,7}:{(183,1),(184,1),(185,1)}
       201:{3,5,7}:{(187,1),(188,1),(192,1),(208,1)}
       202:{1,4,6,7}:{(188,1),(189,1),(193,1),(195,1),(208,1)}
       203:{1,2,4,7}:{(189,1),(190,1),(191,1),(197,1),(209,1)}
       204:{1,3,6}:{(191,1),(194,1),(209,1)}
       205:{1,5,6}:{(192,1),(193,1),(208,1)}
       206:{1,3,4}:{(194,1),(199,1)}
       207:{1,2,6,7}:{(195,1),(196,1),(197,1),(198,1)}
       208:{1,5,7}:{(201,1),(202,1),(205,1)}
       209:{1,3,7}:{(203,1),(204,1)}

 941 :   0:{2,3,4,5}:{(1,1),(2,1),(30,1),(75,1),(90,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(62,1)}
         2:{1,2,4,5}:{(0,1),(5,1),(7,1),(18,1),(56,1),(68,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(11,1),(38,1),(128,1),(187,1),(203,1)}
         4:{2,3,5,6}:{(1,1),(10,1),(12,1),(13,1),(38,1),(75,1),(132,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(12,1),(14,1),(15,1),(43,1)}
         6:{2,3,4,7}:{(1,1),(13,1),(15,1),(91,1)}
         7:{1,3,5}:{(2,1),(14,1),(16,1)}
         8:{1,2,3,5}:{(7,1),(17,1),(18,1),(51,1),(56,1)}
         9:{1,4,5,6}:{(3,1),(19,1),(21,1),(157,1),(208,1)}
        10:{2,4,5,6}:{(3,1),(4,1),(22,1),(100,1),(161,1)}
        11:{3,4,5,7}:{(3,1),(21,1),(22,1),(23,1),(63,1),(179,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(24,1),(25,1),(56,1),(114,1)}
        13:{2,3,5,7}:{(4,1),(6,1),(22,1),(25,1),(26,1),(63,1)}
        14:{1,3,6}:{(5,1),(7,1),(28,1)}
        15:{1,2,4,7}:{(5,1),(6,1),(25,1),(28,1),(69,1)}
        16:{1,3,4}:{(7,1),(18,1)}
        17:{1,2,3,6}:{(8,1),(14,1),(33,1),(34,1),(77,1)}
        18:{1,2,4}:{(8,1),(16,1),(30,1)}
        19:{1,3,5,6}:{(9,1),(31,1),(36,1),(37,1),(38,1),(137,1),(195,1)}
        20:{1,2,4,5,6}:{(9,1),(10,1),(12,1),(36,1),(38,1),(39,1),(43,1),(81,1),(87,1),(143,1),(154,1),(201,1),(203,1)}
        21:{1,4,5,7}:{(9,1),(11,1),(37,1),(40,1)}
        22:{2,4,5,7}:{(10,1),(11,1),(13,1),(41,1)}
        23:{3,4,6,7}:{(11,1),(40,1),(41,1),(42,1),(92,1),(152,1),(187,1)}
        24:{1,3,5,6}:{(12,1),(14,1),(38,1),(43,1),(44,1),(46,1),(98,1),(154,1)}
        25:{1,2,5,7}:{(12,1),(13,1),(15,1),(44,1),(45,1)}
        26:{2,3,6,7}:{(13,1),(41,1),(45,1),(92,1),(132,1)}
        27:{1,3,4,6}:{(14,1),(16,1),(33,1),(43,1),(46,1),(47,1),(80,1),(98,1)}
        28:{1,3,7}:{(14,1),(15,1)}
        29:{1,3,4,5}:{(16,1),(35,1),(46,1),(48,1),(128,1)}
        30:{2,3,4}:{(18,1),(51,1)}
        31:{1,3,4,6}:{(19,1),(49,1),(52,1),(53,1),(62,1)}
        32:{1,2,3,5,6}:{(17,1),(24,1),(54,1),(55,1),(56,1),(59,1),(101,1),(104,1),(108,1),(114,1),(163,1),(167,1),(170,1),(173,1),(213,1)}
        33:{1,2,4,6}:{(17,1),(18,1),(27,1),(50,1),(56,1),(57,1),(114,1)}
        34:{1,2,3,7}:{(17,1),(28,1),(57,1),(103,1)}
        35:{1,2,4,5}:{(18,1),(29,1),(51,1),(56,1),(58,1),(100,1)}
        36:{1,2,5,6}:{(19,1),(52,1),(59,1),(60,1),(163,1),(213,1)}
        37:{1,3,5,7}:{(19,1),(21,1),(53,1),(60,1),(61,1),(63,1)}
        38:{3,5,6}:{(20,1),(62,1),(63,1),(108,1),(170,1)}
        39:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(25,1),(60,1),(63,1),(64,1),(69,1),(116,1),(124,1),(176,1),(179,1)}
        40:{1,4,6,7}:{(21,1),(23,1),(61,1),(65,1),(208,1)}
        41:{2,4,6,7}:{(22,1),(23,1),(26,1),(66,1),(161,1)}
        42:{3,5,6,7}:{(23,1),(65,1),(66,1),(67,1),(210,1)}
        43:{1,4,6}:{(24,1),(62,1),(68,1),(69,1)}
        44:{1,3,5,7}:{(24,1),(25,1),(28,1),(63,1),(69,1),(70,1),(124,1)}
        45:{1,2,6,7}:{(25,1),(26,1),(70,1),(114,1)}
        46:{1,3,5}:{(27,1),(56,1),(68,1),(108,1)}
        47:{1,3,4,7}:{(27,1),(28,1),(57,1),(69,1),(72,1),(109,1)}
        48:{1,3,4,6}:{(29,1),(58,1),(71,1),(73,1),(158,1)}
        49:{1,3,4,5}:{(31,1),(74,1),(90,1),(137,1),(181,1)}
        50:{2,3,4,6}:{(30,1),(33,1),(75,1),(76,1),(77,1),(80,1),(129,1),(132,1)}
        51:{2,3,5}:{(30,1),(35,1),(77,1)}
        52:{1,2,4,6}:{(31,1),(36,1),(74,1),(78,1),(79,1),(87,1)}
        53:{1,3,4,7}:{(31,1),(37,1),(79,1),(91,1)}
        54:{1,2,4,6}:{(32,1),(43,1),(80,1),(81,1),(82,1),(87,1),(129,1),(184,1)}
        55:{1,2,3,5,7}:{(32,1),(34,1),(44,1),(82,1),(83,1),(85,1),(88,1),(131,1),(134,1),(140,1),(144,1),(191,1),(194,1)}
        56:{1,2,5}:{(33,1),(46,1),(75,1)}
        57:{1,2,4,7}:{(33,1),(34,1),(47,1),(76,1),(85,1)}
        58:{1,2,4,6}:{(35,1),(48,1),(77,1),(84,1),(86,1),(129,1)}
        59:{2,3,5,6}:{(36,1),(38,1),(78,1),(87,1),(88,1),(135,1),(193,1),(201,1)}
        60:{1,2,5,7}:{(36,1),(37,1),(79,1),(88,1),(89,1)}
        61:{1,3,6,7}:{(37,1),(40,1),(89,1),(92,1),(195,1)}
        62:{3,4,6}:{(38,1),(43,1),(87,1),(90,1),(91,1)}
        63:{3,5,7}:{(38,1),(39,1),(91,1),(92,1)}
        64:{1,2,4,6,7}:{(39,1),(40,1),(41,1),(45,1),(89,1),(92,1),(93,1),(96,1),(143,1),(148,1),(152,1)}
        65:{1,5,6,7}:{(40,1),(42,1),(223,1)}
        66:{2,5,6,7}:{(41,1),(42,1),(189,1)}
        67:{4,5,6,7}:{(42,1),(152,1),(225,1)}
        68:{1,4,5}:{(43,1),(46,1),(90,1)}
        69:{1,4,7}:{(43,1),(44,1),(91,1)}
        70:{1,3,6,7}:{(44,1),(45,1),(92,1),(96,1),(98,1)}
        71:{1,3,5,6}:{(46,1),(48,1),(84,1),(94,1),(97,1),(98,1),(139,1)}
        72:{1,3,5,7}:{(46,1),(47,1),(85,1),(95,1),(98,1),(140,1)}
        73:{1,3,4,7}:{(48,1),(86,1),(97,1),(186,1)}
        74:{1,2,4,5}:{(49,1),(52,1),(99,1),(115,1),(155,1),(163,1)}
        75:{2,3,5}:{(50,1),(56,1),(100,1),(108,1)}
        76:{2,3,4,7}:{(50,1),(57,1),(102,1),(103,1),(109,1),(160,1)}
        77:{2,3,6}:{(51,1),(58,1),(103,1)}
        78:{2,3,6}:{(52,1),(99,1),(106,1)}
        79:{1,2,4,7}:{(52,1),(53,1),(60,1),(106,1),(116,1)}
        80:{3,4,6}:{(54,1),(108,1),(109,1),(170,1)}
        81:{1,2,4,5}:{(54,1),(56,1),(68,1),(100,1),(108,1),(115,1),(157,1),(163,1)}
        82:{1,2,4,7}:{(54,1),(55,1),(69,1),(109,1),(116,1),(160,1),(207,1)}
        83:{1,2,3,6,7}:{(55,1),(70,1),(112,1),(114,1),(117,1),(162,1),(170,1),(213,1),(215,1)}
        84:{1,2,5,6}:{(56,1),(58,1),(71,1),(101,1),(113,1),(114,1)}
        85:{1,2,5,7}:{(56,1),(57,1),(72,1),(102,1),(114,1)}
        86:{1,2,4,7}:{(58,1),(73,1),(103,1),(113,1),(160,1)}
        87:{2,4,6}:{(59,1),(62,1),(115,1),(116,1)}
        88:{2,3,5,7}:{(59,1),(60,1),(63,1),(106,1),(116,1),(117,1),(176,1)}
        89:{1,2,6,7}:{(60,1),(61,1),(117,1),(213,1)}
        90:{3,4,5}:{(62,1),(68,1),(108,1),(115,1)}
        91:{3,4,7}:{(62,1),(63,1),(69,1),(116,1)}
        92:{3,6,7}:{(63,1),(64,1),(170,1)}
        93:{1,2,5,6,7}:{(64,1),(65,1),(66,1),(121,1),(124,1),(173,1),(176,1)}
        94:{1,4,5,6}:{(68,1),(71,1),(118,1),(122,1),(123,1)}
        95:{1,4,5,7}:{(68,1),(69,1),(72,1),(119,1),(123,1),(124,1)}
        96:{1,4,6,7}:{(69,1),(70,1),(120,1),(123,1),(124,1)}
        97:{1,3,5,7}:{(71,1),(73,1),(113,1),(122,1),(125,1),(169,1)}
        98:{1,3,6}:{(72,1),(114,1),(123,1),(170,1)}
        99:{2,3,5}:{(74,1),(78,1),(127,1)}
       100:{2,4,5}:{(75,1),(128,1),(129,1)}
       101:{2,3,5,6}:{(75,1),(77,1),(84,1),(129,1),(131,1),(132,1),(139,1),(189,1)}
       102:{2,3,5,7}:{(75,1),(76,1),(85,1),(130,1),(132,1),(140,1)}
       103:{2,3,7}:{(77,1),(86,1)}
       104:{1,2,3,6}:{(78,1),(126,1),(133,1),(134,1),(220,1)}
       105:{2,3,4,6}:{(78,1),(80,1),(87,1),(127,1),(133,1),(135,1),(136,1),(193,1)}
       106:{2,3,7}:{(78,1),(79,1)}
       107:{1,3,4,6}:{(80,1),(133,1),(137,1),(138,1),(181,1),(184,1),(195,1),(220,1)}
       108:{3,5}:{(80,1),(81,1)}
       109:{3,4,7}:{(80,1),(82,1),(140,1)}
       110:{1,2,4,5,6}:{(81,1),(84,1),(94,1),(129,1),(139,1),(142,1),(143,1),(146,1),(184,1),(189,1),(190,1),(223,1),(225,1)}
       111:{1,2,4,5,7}:{(81,1),(82,1),(85,1),(95,1),(130,1),(140,1),(143,1),(144,1),(147,1),(185,1),(191,1),(198,1)}
       112:{1,2,4,6,7}:{(82,1),(83,1),(96,1),(141,1),(143,1),(144,1),(148,1),(188,1),(222,1)}
       113:{1,2,5,7}:{(84,1),(86,1),(97,1),(131,1),(145,1)}
       114:{1,2,6}:{(85,1),(98,1),(132,1)}
       115:{2,4,5}:{(87,1),(90,1),(135,1)}
       116:{2,4,7}:{(87,1),(88,1),(91,1)}
       117:{2,3,6,7}:{(88,1),(89,1),(92,1),(148,1),(193,1)}
       118:{3,4,5,6}:{(90,1),(94,1),(139,1),(146,1),(149,1),(150,1),(225,1)}
       119:{3,4,5,7}:{(90,1),(91,1),(95,1),(140,1),(147,1),(150,1),(151,1),(198,1)}
       120:{3,4,6,7}:{(91,1),(92,1),(96,1),(148,1),(150,1),(151,1),(152,1)}
       121:{3,5,6,7}:{(92,1),(93,1),(151,1),(152,1),(197,1)}
       122:{1,4,5,7}:{(94,1),(97,1),(149,1),(153,1)}
       123:{1,4,6}:{(95,1),(98,1),(150,1),(154,1)}
       124:{1,5,7}:{(96,1),(151,1),(154,1)}
       125:{1,3,6,7}:{(97,1),(98,1),(145,1),(153,1),(196,1)}
       126:{1,2,3,5}:{(99,1),(104,1),(155,1),(163,1),(204,1)}
       127:{2,3,4}:{(99,1),(155,1)}
       128:{3,4,5}:{(100,1),(108,1),(157,1),(158,1)}
       129:{2,4,6}:{(100,1),(101,1),(158,1),(160,1)}
       130:{2,4,5,7}:{(100,1),(102,1),(159,1),(160,1),(161,1),(211,1)}
       131:{2,3,5,7}:{(101,1),(103,1),(113,1),(160,1),(162,1),(169,1),(211,1)}
       132:{2,3,6}:{(102,1),(114,1),(161,1),(170,1)}
       133:{1,2,4,6}:{(104,1),(105,1),(107,1),(155,1),(163,1),(164,1),(213,1)}
       134:{1,2,3,7}:{(104,1),(106,1),(164,1),(228,1)}
       135:{2,3,5}:{(105,1),(108,1),(115,1),(163,1)}
       136:{2,3,4,7}:{(105,1),(106,1),(109,1),(116,1),(164,1),(166,1)}
       137:{1,3,5}:{(107,1),(108,1),(157,1),(163,1)}
       138:{1,3,4,7}:{(107,1),(109,1),(164,1),(168,1),(207,1),(228,1)}
       139:{3,5,6}:{(108,1),(110,1),(158,1),(169,1),(170,1)}
       140:{3,5,7}:{(108,1),(109,1),(111,1),(170,1)}
       141:{3,4,6,7}:{(109,1),(112,1),(170,1),(171,1),(217,1)}
       142:{1,2,4,5,7}:{(110,1),(113,1),(122,1),(160,1),(169,1),(172,1),(174,1),(207,1),(211,1),(212,1),(229,1),(230,1)}
       143:{1,2,4,6}:{(111,1),(114,1),(123,1),(161,1),(170,1),(173,1),(175,1),(208,1),(213,1),(217,1)}
       144:{1,2,5,7}:{(112,1),(124,1),(171,1),(173,1),(176,1),(211,1),(229,1)}
       145:{1,2,6,7}:{(113,1),(114,1),(125,1),(162,1)}
       146:{2,4,5,6}:{(115,1),(118,1),(165,1),(174,1),(175,1)}
       147:{2,4,5,7}:{(115,1),(116,1),(119,1),(166,1),(175,1),(176,1)}
       148:{2,4,6,7}:{(116,1),(117,1),(120,1),(175,1),(176,1)}
       149:{3,4,5,7}:{(118,1),(122,1),(169,1),(174,1),(177,1),(230,1)}
       150:{3,4,6}:{(119,1),(123,1),(170,1),(175,1),(178,1),(217,1)}
       151:{3,5,7}:{(120,1),(124,1),(176,1),(178,1),(179,1)}
       152:{4,6,7}:{(121,1),(179,1),(217,1)}
       153:{1,4,6,7}:{(122,1),(123,1),(125,1),(177,1),(180,1)}
       154:{1,5,6}:{(123,1),(124,1),(178,1)}
       155:{1,2,4}:{(126,1),(127,1),(181,1)}
       156:{2,3,4,5}:{(127,1),(128,1),(135,1),(182,1),(183,1)}
       157:{1,4,5}:{(128,1),(137,1),(184,1)}
       158:{3,4,6}:{(128,1),(129,1),(139,1),(184,1),(186,1)}
       159:{3,4,5,7}:{(128,1),(130,1),(140,1),(185,1),(186,1),(187,1),(198,1),(224,1)}
       160:{2,4,7}:{(129,1),(131,1),(186,1)}
       161:{2,4,6}:{(130,1),(132,1),(187,1),(189,1)}
       162:{2,3,6,7}:{(131,1),(132,1),(145,1),(188,1),(196,1)}
       163:{1,2,5}:{(133,1),(135,1),(137,1)}
       164:{1,2,4,7}:{(133,1),(134,1),(136,1),(138,1),(191,1)}
       165:{2,3,5,6}:{(135,1),(139,1),(146,1),(183,1),(190,1),(192,1),(193,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(140,1),(147,1),(191,1),(193,1)}
       167:{1,3,5,6}:{(137,1),(139,1),(184,1),(190,1),(194,1),(195,1),(220,1),(223,1)}
       168:{1,3,5,7}:{(137,1),(138,1),(140,1),(185,1),(191,1),(195,1)}
       169:{3,5,7}:{(139,1),(142,1),(186,1),(196,1)}
       170:{3,6}:{(140,1),(143,1)}
       171:{3,5,7}:{(141,1),(144,1),(197,1),(198,1)}
       172:{1,2,4,6,7}:{(142,1),(143,1),(145,1),(153,1),(188,1),(196,1),(199,1),(200,1),(222,1),(226,1),(227,1)}
       173:{1,2,5,6}:{(143,1),(144,1),(154,1),(189,1),(197,1),(201,1),(223,1)}
       174:{2,4,5,7}:{(146,1),(149,1),(192,1),(200,1)}
       175:{2,4,6}:{(147,1),(150,1),(193,1),(201,1)}
       176:{2,5,7}:{(148,1),(151,1),(201,1)}
       177:{3,4,6,7}:{(149,1),(150,1),(153,1),(196,1),(200,1),(202,1),(227,1)}
       178:{3,5,6}:{(150,1),(151,1),(154,1),(201,1),(203,1)}
       179:{4,5,7}:{(151,1),(152,1),(203,1)}
       180:{1,5,6,7}:{(153,1),(154,1),(202,1)}
       181:{1,3,4}:{(155,1),(204,1)}
       182:{1,2,4,5}:{(155,1),(156,1),(157,1),(163,1),(204,1),(205,1)}
       183:{2,3,4,6}:{(156,1),(158,1),(165,1),(205,1),(206,1)}
       184:{1,4,6}:{(157,1),(158,1),(167,1),(207,1)}
       185:{1,4,5,7}:{(157,1),(159,1),(168,1),(207,1),(208,1),(229,1)}
       186:{3,4,7}:{(158,1),(160,1),(169,1),(207,1)}
       187:{3,4,6}:{(159,1),(161,1),(170,1),(208,1),(210,1),(217,1)}
       188:{2,4,6,7}:{(160,1),(161,1),(162,1),(209,1),(211,1)}
       189:{2,5,6}:{(161,1),(210,1),(211,1)}
       190:{1,2,5,6}:{(163,1),(165,1),(167,1),(205,1),(212,1),(213,1)}
       191:{1,2,5,7}:{(163,1),(164,1),(166,1),(168,1),(213,1)}
       192:{2,3,5,7}:{(165,1),(169,1),(174,1),(206,1),(212,1),(214,1)}
       193:{2,3,6}:{(166,1),(170,1),(175,1),(213,1)}
       194:{1,3,5,7}:{(167,1),(169,1),(207,1),(212,1),(215,1),(228,1),(229,1)}
       195:{1,3,6}:{(168,1),(170,1),(208,1),(213,1)}
       196:{3,6,7}:{(169,1),(170,1),(172,1)}
       197:{3,5,6}:{(170,1),(171,1),(173,1),(217,1)}
       198:{4,5,7}:{(171,1),(217,1)}
       199:{1,2,5,6,7}:{(172,1),(173,1),(180,1),(211,1),(216,1),(218,1),(229,1)}
       200:{2,4,6,7}:{(174,1),(175,1),(177,1),(214,1),(218,1)}
       201:{2,5,6}:{(175,1),(176,1),(178,1)}
       202:{3,5,6,7}:{(177,1),(178,1),(180,1),(218,1),(219,1)}
       203:{4,5,6}:{(178,1),(179,1),(217,1)}
       204:{1,3,5}:{(181,1),(182,1),(220,1)}
       205:{1,2,4,6}:{(182,1),(183,1),(184,1),(190,1),(220,1),(221,1)}
       206:{2,3,4,7}:{(183,1),(186,1),(192,1),(221,1)}
       207:{1,4,7}:{(184,1),(186,1),(194,1)}
       208:{1,4,6}:{(185,1),(187,1),(195,1),(223,1)}
       209:{3,4,6,7}:{(186,1),(187,1),(188,1),(196,1),(222,1),(224,1),(227,1)}
       210:{3,5,6}:{(187,1),(189,1),(223,1),(224,1),(225,1)}
       211:{2,5,7}:{(188,1),(189,1),(224,1)}
       212:{1,2,5,7}:{(190,1),(192,1),(194,1),(221,1),(226,1)}
       213:{1,2,6}:{(191,1),(193,1),(195,1)}
       214:{2,3,6,7}:{(192,1),(193,1),(196,1),(200,1),(226,1)}
       215:{1,3,6,7}:{(194,1),(195,1),(196,1),(222,1),(226,1)}
       216:{3,5,6,7}:{(196,1),(197,1),(199,1),(224,1),(227,1)}
       217:{4,6}:{(197,1),(198,1)}
       218:{2,5,6,7}:{(200,1),(201,1),(202,1)}
       219:{4,5,6,7}:{(202,1),(203,1),(227,1)}
       220:{1,3,6}:{(204,1),(205,1),(228,1)}
       221:{1,2,4,7}:{(205,1),(206,1),(207,1),(212,1),(228,1)}
       222:{1,4,6,7}:{(207,1),(208,1),(209,1),(215,1),(229,1)}
       223:{1,5,6}:{(208,1),(210,1),(229,1)}
       224:{3,5,7}:{(209,1),(210,1),(211,1),(229,1),(230,1)}
       225:{4,5,6}:{(210,1),(217,1),(230,1)}
       226:{1,2,6,7}:{(212,1),(213,1),(214,1),(215,1)}
       227:{4,6,7}:{(216,1),(217,1),(230,1)}
       228:{1,3,7}:{(220,1),(221,1)}
       229:{1,5,7}:{(222,1),(223,1),(224,1)}
       230:{4,5,7}:{(224,1),(225,1),(227,1)}

 942 :   0:{2,3,4,6,7}:{(1,1),(2,1),(9,1),(25,1),(29,1),(31,1),(53,1),(59,1),(80,1),(86,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(38,1),(69,1),(96,1),(102,1)}
         2:{2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(75,1),(101,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(9,1),(27,1),(29,1)}
         4:{1,3,6,7}:{(1,1),(10,1),(29,1),(111,1),(115,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(114,1)}
         6:{2,4,5,7}:{(2,1),(9,1),(12,1),(80,1),(88,1)}
         7:{2,3,5,6,7}:{(3,1),(13,1),(14,1),(35,1),(37,1),(64,1),(123,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(40,1),(75,1)}
         9:{2,4,6}:{(3,1),(6,1),(18,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(125,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(46,1),(47,1),(75,1),(96,1),(103,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(49,1),(81,1),(84,1),(112,1)}
        14:{2,4,6,7}:{(7,1),(9,1),(22,1),(25,1),(80,1),(131,1)}
        15:{2,4,5,6}:{(9,1),(22,1),(27,1)}
        16:{1,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(59,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(27,1),(29,1),(30,1)}
        19:{1,4,7}:{(10,1),(28,1),(31,1),(132,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(111,1),(116,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(32,1),(49,1),(79,1),(87,1)}
        22:{2,4,5,7}:{(14,1),(15,1),(35,1),(136,1)}
        23:{1,3,5,6,7}:{(13,1),(16,1),(36,1),(37,1),(63,1),(66,1),(97,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(36,1),(37,1),(38,1),(68,1),(69,1),(96,1),(121,1)}
        25:{3,4,6,7}:{(14,1),(18,1),(35,1),(37,1),(38,1),(62,1),(135,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(39,1),(40,1),(41,1),(65,1),(71,1),(72,1),(73,1),(75,1),(98,1),(103,1),(121,1),(136,1),(139,1)}
        27:{3,5,6}:{(15,1),(18,1),(35,1),(40,1)}
        28:{1,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{1,4,6}:{(18,1),(21,1),(40,1),(43,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(46,1),(126,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(47,1),(74,1)}
        33:{2,3,5,7}:{(20,1),(44,1),(46,1),(47,1),(75,1),(77,1),(105,1)}
        34:{1,2,4,5,7}:{(22,1),(24,1),(26,1),(48,1),(49,1),(50,1),(79,1),(80,1),(81,1),(84,1)}
        35:{3,5,7}:{(22,1),(25,1),(27,1),(49,1),(138,1)}
        36:{1,4,6,7}:{(23,1),(28,1),(50,1),(51,1),(79,1),(108,1)}
        37:{3,6,7}:{(24,1),(29,1),(48,1),(111,1),(129,1)}
        38:{1,4,6,7}:{(25,1),(30,1),(49,1),(52,1),(79,1),(137,1)}
        39:{3,5,6}:{(26,1),(29,1),(48,1),(54,1),(57,1),(116,1),(129,1),(138,1)}
        40:{1,5,6}:{(27,1),(30,1),(49,1)}
        41:{1,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(59,1)}
        43:{1,3,6}:{(29,1),(30,1),(32,1),(60,1)}
        44:{2,3,6}:{(29,1),(33,1),(59,1),(60,1)}
        45:{1,3,4,7}:{(31,1),(32,1),(58,1),(61,1),(79,1),(111,1)}
        46:{2,4,7}:{(31,1),(33,1),(59,1),(117,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(37,1),(39,1),(62,1)}
        49:{1,5,7}:{(35,1),(38,1),(40,1),(139,1)}
        50:{1,4,5,7}:{(36,1),(41,1),(65,1),(66,1)}
        51:{3,4,6,7}:{(36,1),(37,1),(42,1),(62,1),(66,1),(68,1),(93,1)}
        52:{1,3,6,7}:{(37,1),(38,1),(43,1),(63,1),(69,1),(133,1)}
        53:{2,3,6,7}:{(37,1),(44,1),(64,1),(68,1),(69,1),(118,1)}
        54:{3,4,6}:{(39,1),(62,1),(70,1),(71,1),(72,1),(104,1),(126,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(63,1),(71,1),(73,1),(74,1),(104,1),(125,1),(133,1),(139,1)}
        56:{2,3,5,6}:{(39,1),(44,1),(64,1),(72,1),(73,1),(75,1),(98,1),(101,1),(104,1),(105,1),(118,1)}
        57:{3,5}:{(41,1),(42,1),(75,1)}
        58:{1,3,4,6}:{(42,1),(43,1),(45,1),(71,1),(74,1),(76,1),(104,1),(126,1)}
        59:{2,4,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(54,1),(79,1),(80,1),(111,1)}
        63:{1,3,5,7}:{(48,1),(49,1),(52,1),(55,1),(79,1),(81,1),(111,1)}
        64:{2,3,5,7}:{(48,1),(53,1),(56,1),(80,1),(81,1),(84,1),(111,1)}
        65:{1,4,5,6}:{(50,1),(82,1),(108,1)}
        66:{3,5,7}:{(50,1),(51,1),(57,1),(82,1),(84,1)}
        67:{1,3,4,6,7}:{(51,1),(52,1),(58,1),(79,1),(83,1),(85,1),(108,1),(111,1),(129,1),(130,1),(137,1)}
        68:{2,4,6,7}:{(51,1),(53,1),(59,1),(80,1),(84,1),(109,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(60,1),(81,1),(127,1)}
        70:{3,4,5}:{(54,1),(57,1),(87,1),(88,1),(116,1),(138,1)}
        71:{1,4,6}:{(54,1),(55,1),(79,1),(87,1),(132,1)}
        72:{2,4,6}:{(54,1),(56,1),(80,1),(88,1),(117,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(60,1),(81,1),(89,1),(90,1),(114,1),(127,1)}
        74:{1,3,5}:{(57,1),(58,1),(87,1),(90,1),(116,1)}
        75:{2,5}:{(57,1),(59,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{2,3,7}:{(61,1),(91,1),(111,1)}
        78:{3,4,5,7}:{(62,1),(66,1),(70,1),(93,1),(94,1),(95,1),(122,1)}
        79:{1,4,7}:{(62,1),(63,1),(71,1)}
        80:{2,4,7}:{(62,1),(64,1),(72,1)}
        81:{1,2,5,7}:{(63,1),(64,1),(69,1),(73,1),(96,1)}
        82:{3,5,6}:{(65,1),(66,1),(93,1),(98,1)}
        83:{1,3,5,7}:{(66,1),(67,1),(74,1),(94,1),(97,1),(99,1),(122,1),(139,1)}
        84:{2,5,7}:{(66,1),(68,1),(75,1),(98,1)}
        85:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(96,1),(99,1),(100,1),(121,1),(124,1)}
        86:{2,3,4,6}:{(72,1),(92,1),(101,1),(102,1),(104,1),(118,1),(126,1),(135,1)}
        87:{1,4,5}:{(70,1),(71,1),(74,1),(139,1)}
        88:{2,4,5}:{(70,1),(72,1),(75,1),(101,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(73,1),(96,1),(103,1),(104,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{2,3,6}:{(76,1),(77,1),(104,1),(105,1)}
        92:{2,3,4,7}:{(80,1),(86,1),(106,1),(107,1),(111,1),(130,1)}
        93:{3,4,6}:{(78,1),(82,1),(108,1),(109,1),(129,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(108,1)}
        95:{2,4,5,7}:{(78,1),(80,1),(84,1),(88,1),(106,1),(109,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(89,1),(111,1)}
        97:{1,3,5,6}:{(82,1),(83,1),(108,1),(112,1),(129,1)}
        98:{2,5,6}:{(82,1),(84,1),(109,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(85,1),(90,1),(112,1),(113,1)}
       100:{2,3,6,7}:{(85,1),(91,1),(111,1),(113,1),(129,1)}
       101:{2,3,5}:{(86,1),(88,1),(114,1),(116,1),(138,1)}
       102:{1,2,4,6}:{(86,1),(107,1),(114,1),(115,1),(127,1),(132,1),(137,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(89,1),(90,1),(114,1),(116,1),(117,1),(132,1)}
       104:{3,6}:{(89,1),(111,1),(116,1)}
       105:{2,3,5}:{(90,1),(91,1),(116,1),(117,1)}
       106:{2,3,5,7}:{(92,1),(95,1),(101,1),(118,1),(119,1),(122,1)}
       107:{1,2,4,7}:{(92,1),(102,1),(119,1),(120,1),(134,1)}
       108:{1,4,6}:{(93,1),(94,1),(97,1)}
       109:{2,4,6}:{(93,1),(95,1),(98,1),(118,1)}
       110:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(103,1),(119,1),(121,1),(122,1),(124,1),(134,1),(136,1),(139,1)}
       111:{3,7}:{(96,1),(104,1)}
       112:{1,2,5,6}:{(97,1),(98,1),(99,1),(121,1),(123,1),(139,1)}
       113:{2,3,5,7}:{(99,1),(100,1),(105,1),(122,1),(123,1),(124,1)}
       114:{1,2,5}:{(101,1),(102,1),(125,1),(139,1)}
       115:{1,3,6}:{(102,1),(104,1),(120,1),(125,1)}
       116:{3,5}:{(103,1),(104,1),(126,1)}
       117:{2,4}:{(105,1),(126,1)}
       118:{2,3,6}:{(106,1),(109,1),(127,1),(129,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(114,1),(127,1),(128,1)}
       120:{1,3,7}:{(107,1),(111,1),(115,1)}
       121:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1),(131,1),(137,1)}
       122:{3,5,7}:{(110,1),(111,1),(116,1),(129,1),(130,1),(138,1)}
       123:{2,3,5,6}:{(112,1),(113,1),(129,1),(131,1),(138,1)}
       124:{2,4,7}:{(113,1),(117,1),(130,1),(131,1)}
       125:{1,3,5}:{(114,1),(115,1),(116,1),(132,1)}
       126:{3,4}:{(116,1),(117,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{1,3,5,7}:{(119,1),(120,1),(122,1),(125,1),(133,1),(134,1),(139,1)}
       129:{3,6}:{(121,1),(122,1)}
       130:{3,4,7}:{(122,1),(124,1),(126,1),(134,1),(135,1)}
       131:{2,4,6}:{(123,1),(124,1),(135,1),(136,1)}
       132:{1,4}:{(125,1),(126,1)}
       133:{1,3,6}:{(127,1),(128,1),(129,1),(137,1)}
       134:{1,4,7}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,4,6}:{(129,1),(130,1),(131,1),(137,1),(138,1)}
       136:{2,4,5}:{(131,1),(138,1)}
       137:{1,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

 943 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(70,1),(71,1),(78,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(14,1),(35,1),(36,1),(41,1),(44,1),(46,1),(78,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(24,1),(82,1),(83,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(52,1),(53,1),(62,1),(64,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(49,1),(50,1)}
         5:{3,4,6,7}:{(2,1),(11,1),(15,1),(37,1),(41,1)}
         6:{1,2,5,7}:{(2,1),(11,1),(12,1),(94,1),(95,1)}
         7:{1,2,4,5}:{(4,1),(14,1),(39,1),(40,1),(44,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(15,1),(67,1),(68,1)}
         9:{3,4,6}:{(4,1),(14,1),(15,1),(41,1)}
        10:{1,2,4,5,6}:{(7,1),(19,1),(20,1),(24,1),(49,1),(50,1),(54,1),(55,1),(87,1),(88,1)}
        11:{3,5,7}:{(5,1),(6,1),(21,1),(22,1)}
        12:{1,2,5,6}:{(6,1),(21,1),(24,1),(87,1),(88,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(22,1),(24,1),(25,1),(57,1),(58,1),(62,1)}
        14:{3,5}:{(7,1),(9,1)}
        15:{3,4,7}:{(8,1),(9,1),(25,1)}
        16:{1,3,4,6}:{(9,1),(26,1),(28,1),(30,1),(49,1),(60,1),(85,1),(91,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(29,1),(30,1),(50,1),(61,1),(85,1),(91,1),(105,1)}
        18:{1,2,5,6,7}:{(12,1),(31,1),(33,1),(94,1),(95,1)}
        19:{1,2,4,5,7}:{(10,1),(33,1),(34,1),(65,1),(67,1),(68,1),(72,1),(94,1),(95,1)}
        20:{3,5,6}:{(10,1),(14,1),(32,1),(34,1),(41,1)}
        21:{3,5,6}:{(11,1),(12,1),(37,1),(41,1)}
        22:{4,5,7}:{(11,1),(37,1)}
        23:{3,4,5}:{(14,1),(32,1),(39,1),(40,1),(77,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(37,1),(41,1),(74,1),(75,1),(78,1)}
        25:{3,5,7}:{(13,1),(14,1),(15,1),(41,1)}
        26:{1,3,5}:{(14,1),(16,1),(39,1),(44,1),(77,1),(109,1)}
        27:{2,3,5}:{(14,1),(17,1),(40,1),(44,1),(77,1),(109,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(42,1),(45,1),(67,1),(97,1),(100,1)}
        29:{2,3,4,7}:{(15,1),(17,1),(43,1),(45,1),(68,1),(97,1),(100,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(44,1),(45,1),(46,1),(78,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(47,1),(51,1),(81,1)}
        32:{3,4,6}:{(20,1),(23,1),(48,1),(49,1),(50,1),(85,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(24,1),(47,1),(51,1),(82,1),(83,1),(86,1)}
        34:{3,5,7}:{(19,1),(20,1),(48,1),(51,1)}
        35:{1,3,5,6}:{(20,1),(26,1),(49,1),(52,1),(54,1),(60,1),(85,1),(87,1),(104,1)}
        36:{2,3,5,6}:{(20,1),(27,1),(50,1),(53,1),(54,1),(61,1),(85,1),(88,1),(104,1)}
        37:{4,6}:{(21,1),(22,1)}
        38:{3,4,5,7}:{(22,1),(23,1),(25,1),(48,1),(56,1),(57,1),(58,1),(81,1),(90,1),(110,1),(111,1)}
        39:{1,4,5}:{(23,1),(26,1),(49,1),(111,1)}
        40:{2,4,5}:{(23,1),(27,1),(50,1),(111,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(28,1),(57,1),(60,1),(62,1),(90,1)}
        43:{2,3,5,7}:{(25,1),(27,1),(29,1),(58,1),(61,1),(62,1),(90,1)}
        44:{1,2,5}:{(26,1),(27,1),(30,1)}
        45:{1,2,4,7}:{(28,1),(29,1),(30,1),(62,1),(64,1)}
        46:{1,2,3,6}:{(30,1),(63,1),(64,1),(85,1)}
        47:{4,6,7}:{(31,1),(37,1),(65,1)}
        48:{3,4,7}:{(32,1),(34,1),(67,1),(68,1),(97,1)}
        49:{1,4,6}:{(32,1),(35,1),(39,1),(67,1),(108,1)}
        50:{2,4,6}:{(32,1),(36,1),(40,1),(68,1),(108,1)}
        51:{3,6,7}:{(33,1),(34,1),(41,1)}
        52:{1,3,5,7}:{(34,1),(35,1),(67,1),(70,1),(72,1),(94,1),(97,1),(107,1)}
        53:{2,3,5,7}:{(34,1),(36,1),(68,1),(71,1),(72,1),(95,1),(97,1),(107,1)}
        54:{1,2,5,6}:{(35,1),(36,1),(44,1),(69,1),(72,1),(78,1)}
        55:{4,5,6}:{(37,1),(65,1),(73,1),(108,1)}
        56:{3,4,6}:{(37,1),(38,1),(41,1),(73,1),(74,1),(75,1),(99,1),(108,1)}
        57:{1,4,5,7}:{(38,1),(39,1),(42,1),(67,1),(74,1),(94,1)}
        58:{2,4,5,7}:{(38,1),(40,1),(43,1),(68,1),(75,1),(95,1)}
        59:{1,2,4,5}:{(39,1),(40,1),(44,1),(69,1),(77,1),(80,1)}
        60:{1,3,6}:{(41,1),(42,1),(74,1),(78,1),(99,1)}
        61:{2,3,6}:{(41,1),(43,1),(75,1),(78,1),(99,1)}
        62:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(78,1)}
        63:{1,2,3,5}:{(44,1),(46,1),(77,1),(80,1)}
        64:{1,2,3,7}:{(45,1),(46,1),(97,1)}
        65:{4,5,7}:{(47,1),(55,1),(81,1),(110,1)}
        66:{3,4,6,7}:{(47,1),(48,1),(51,1),(56,1),(81,1),(82,1),(83,1),(103,1),(110,1)}
        67:{1,4,7}:{(48,1),(49,1),(52,1),(110,1)}
        68:{2,4,7}:{(48,1),(50,1),(53,1),(110,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(54,1),(59,1),(84,1),(85,1)}
        70:{1,3,6,7}:{(51,1),(52,1),(60,1),(82,1),(86,1),(103,1)}
        71:{2,3,6,7}:{(51,1),(53,1),(61,1),(83,1),(86,1),(103,1)}
        72:{1,2,5,7}:{(52,1),(53,1),(54,1),(84,1),(86,1)}
        73:{3,5,6}:{(55,1),(56,1),(81,1),(87,1),(88,1)}
        74:{1,4,6}:{(56,1),(57,1),(60,1),(87,1)}
        75:{2,4,6}:{(56,1),(58,1),(61,1),(88,1)}
        76:{1,2,4,5,7}:{(57,1),(58,1),(59,1),(62,1),(84,1),(89,1),(90,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        77:{3,5}:{(59,1),(85,1),(91,1)}
        78:{1,2,6}:{(60,1),(61,1),(62,1)}
        79:{1,2,3,5,7}:{(62,1),(63,1),(64,1),(90,1),(92,1),(93,1),(106,1)}
        80:{1,2,4}:{(63,1),(91,1)}
        81:{3,5,7}:{(65,1),(66,1),(73,1),(94,1),(95,1)}
        82:{1,4,6,7}:{(66,1),(67,1),(70,1),(74,1),(94,1)}
        83:{2,4,6,7}:{(66,1),(68,1),(71,1),(75,1),(95,1)}
        84:{1,2,4,7}:{(67,1),(68,1),(69,1),(72,1),(97,1)}
        85:{3,6}:{(69,1),(77,1),(97,1)}
        86:{1,2,6,7}:{(70,1),(71,1),(72,1),(78,1)}
        87:{1,5,6}:{(73,1),(74,1),(94,1)}
        88:{2,5,6}:{(73,1),(75,1),(95,1)}
        89:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(98,1),(99,1),(108,1)}
        90:{3,5,7}:{(76,1),(77,1),(97,1),(99,1),(100,1),(109,1)}
        91:{3,4}:{(77,1),(80,1)}
        92:{1,2,3,6}:{(78,1),(79,1),(99,1),(101,1)}
        93:{1,2,4,7}:{(79,1),(80,1),(100,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(87,1)}
        95:{2,5,7}:{(81,1),(83,1),(88,1)}
        96:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(86,1),(89,1),(102,1),(103,1),(110,1)}
        97:{3,7}:{(84,1),(85,1)}
        98:{1,2,5,6}:{(87,1),(88,1),(89,1),(102,1),(104,1),(106,1)}
        99:{3,6}:{(89,1),(90,1)}
       100:{3,4,7}:{(90,1),(91,1),(93,1),(105,1),(110,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(98,1),(107,1)}
       103:{3,6,7}:{(96,1),(97,1),(99,1),(107,1)}
       104:{3,5,6}:{(98,1),(99,1),(107,1),(108,1),(109,1)}
       105:{3,4,6}:{(99,1),(100,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(104,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

 944 :   0:{1,3,5,6,7}:{(2,1),(3,1),(11,1),(13,1),(36,1),(40,1),(86,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(11,1),(17,1),(37,1),(48,1),(80,1)}
         2:{1,2,5,6,7}:{(0,1),(1,1),(5,1),(27,1),(31,1),(58,1),(61,1),(67,1)}
         3:{1,4,6,7}:{(0,1),(6,1),(7,1),(56,1),(59,1),(105,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(9,1),(57,1),(66,1),(100,1)}
         5:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(10,1),(11,1),(15,1),(18,1),(38,1),(77,1),(79,1),(85,1)}
         6:{1,4,5,7}:{(3,1),(12,1),(13,1),(122,1)}
         7:{3,4,6,7}:{(3,1),(11,1),(13,1),(15,1),(35,1),(39,1),(121,1)}
         8:{2,4,5,7}:{(4,1),(16,1),(17,1),(118,1)}
         9:{3,4,6,7}:{(4,1),(11,1),(17,1),(18,1),(35,1),(46,1),(117,1)}
        10:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(20,1),(21,1),(27,1),(31,1),(56,1),(57,1),(58,1)}
        11:{3,6,7}:{(5,1),(21,1),(97,1),(99,1),(104,1)}
        12:{1,4,5,6}:{(6,1),(24,1),(59,1)}
        13:{3,5,7}:{(6,1),(7,1),(24,1),(27,1),(132,1)}
        14:{1,3,4,6,7}:{(7,1),(22,1),(26,1),(28,1),(56,1),(59,1),(92,1),(97,1),(99,1),(102,1),(129,1)}
        15:{2,4,6,7}:{(7,1),(23,1),(27,1),(57,1),(60,1),(131,1)}
        16:{2,4,5,6}:{(8,1),(29,1),(66,1)}
        17:{3,5,7}:{(8,1),(9,1),(29,1),(31,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(22,1),(31,1),(56,1),(65,1),(129,1)}
        19:{2,3,4,6,7}:{(9,1),(23,1),(32,1),(33,1),(57,1),(66,1),(93,1),(97,1),(104,1),(107,1),(131,1)}
        20:{1,2,4,5,6}:{(10,1),(12,1),(16,1),(34,1),(41,1),(47,1),(72,1),(73,1),(74,1),(79,1),(85,1),(110,1),(118,1),(122,1),(136,1),(137,1)}
        21:{3,5,7}:{(10,1),(11,1),(34,1),(35,1)}
        22:{1,3,6,7}:{(11,1),(18,1),(36,1),(38,1),(84,1),(116,1)}
        23:{2,3,6,7}:{(11,1),(15,1),(37,1),(38,1),(78,1),(120,1)}
        24:{3,5,6}:{(12,1),(13,1),(39,1),(41,1)}
        25:{3,4,5,7}:{(13,1),(35,1),(39,1),(42,1),(43,1),(71,1),(82,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(40,1),(42,1),(44,1),(82,1),(108,1),(136,1)}
        27:{2,5,7}:{(13,1),(15,1),(41,1),(137,1)}
        28:{1,2,4,6,7}:{(14,1),(15,1),(38,1),(44,1),(45,1),(77,1),(79,1),(83,1),(111,1)}
        29:{3,5,6}:{(16,1),(17,1),(46,1),(47,1)}
        30:{3,4,5,7}:{(17,1),(35,1),(46,1),(49,1),(50,1),(71,1),(88,1)}
        31:{1,5,7}:{(17,1),(18,1),(47,1),(136,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(48,1),(50,1),(51,1),(88,1),(109,1),(137,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(38,1),(51,1),(52,1),(77,1),(85,1),(89,1),(112,1)}
        34:{3,5,6}:{(20,1),(21,1),(53,1),(99,1),(104,1),(126,1),(130,1),(132,1)}
        35:{3,4,7}:{(21,1),(53,1),(56,1),(57,1),(97,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(31,1),(54,1),(56,1),(58,1),(97,1)}
        37:{2,3,5,7}:{(21,1),(23,1),(27,1),(55,1),(57,1),(58,1),(97,1)}
        38:{1,2,6,7}:{(22,1),(23,1),(58,1),(98,1),(103,1)}
        39:{3,4,6}:{(24,1),(25,1),(59,1),(60,1),(99,1)}
        40:{1,3,5,6}:{(24,1),(26,1),(59,1),(61,1),(99,1)}
        41:{2,5,6}:{(24,1),(27,1),(60,1)}
        42:{1,4,5,7}:{(25,1),(26,1),(56,1),(59,1),(90,1)}
        43:{2,4,5,7}:{(25,1),(27,1),(57,1),(60,1),(62,1),(91,1)}
        44:{1,2,5,7}:{(26,1),(27,1),(28,1),(61,1),(64,1),(124,1)}
        45:{2,3,6,7}:{(28,1),(64,1),(97,1),(99,1),(127,1)}
        46:{3,4,6}:{(29,1),(30,1),(65,1),(66,1),(104,1)}
        47:{1,5,6}:{(29,1),(31,1),(65,1)}
        48:{2,3,5,6}:{(29,1),(32,1),(66,1),(67,1),(104,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(56,1),(65,1),(68,1),(90,1)}
        50:{2,4,5,7}:{(30,1),(32,1),(57,1),(66,1),(91,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(67,1),(70,1),(125,1)}
        52:{1,3,6,7}:{(33,1),(70,1),(97,1),(104,1),(128,1)}
        53:{3,4,6}:{(34,1),(35,1),(71,1),(72,1),(73,1),(113,1),(135,1)}
        54:{1,3,5,6}:{(34,1),(36,1),(47,1),(72,1),(74,1),(84,1),(108,1),(113,1),(116,1),(134,1),(136,1)}
        55:{2,3,5,6}:{(34,1),(37,1),(41,1),(73,1),(74,1),(78,1),(109,1),(113,1),(120,1),(133,1),(137,1)}
        56:{1,4,7}:{(35,1),(36,1),(72,1)}
        57:{2,4,7}:{(35,1),(37,1),(73,1)}
        58:{1,2,5,7}:{(36,1),(37,1),(38,1),(74,1),(77,1)}
        59:{1,4,6}:{(39,1),(40,1),(42,1)}
        60:{2,4,6}:{(39,1),(41,1),(43,1),(78,1)}
        61:{1,2,5,6}:{(40,1),(41,1),(44,1),(79,1),(80,1),(136,1)}
        62:{2,3,5,7}:{(43,1),(76,1),(78,1),(81,1),(82,1),(109,1)}
        63:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(77,1),(79,1),(81,1),(82,1),(83,1),(110,1),(118,1),(119,1),(136,1)}
        64:{2,3,5,7}:{(44,1),(45,1),(80,1),(82,1),(83,1),(133,1)}
        65:{1,4,6}:{(46,1),(47,1),(49,1),(84,1)}
        66:{2,4,6}:{(46,1),(48,1),(50,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(51,1),(85,1),(86,1),(137,1)}
        68:{1,3,5,7}:{(49,1),(75,1),(84,1),(87,1),(88,1),(108,1)}
        69:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(77,1),(85,1),(87,1),(88,1),(89,1),(110,1),(122,1),(123,1),(137,1)}
        70:{1,3,5,7}:{(51,1),(52,1),(86,1),(88,1),(89,1),(134,1)}
        71:{3,4,5}:{(53,1),(90,1),(91,1),(126,1),(130,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(56,1),(90,1),(139,1)}
        73:{2,4,6}:{(53,1),(55,1),(57,1),(91,1),(138,1)}
        74:{1,2,5,6}:{(54,1),(55,1),(58,1),(94,1),(98,1),(103,1),(124,1),(125,1)}
        75:{1,3,4,7}:{(56,1),(68,1),(92,1),(95,1),(97,1),(107,1)}
        76:{2,3,4,7}:{(57,1),(62,1),(93,1),(96,1),(97,1),(102,1)}
        77:{1,2,4,7}:{(56,1),(57,1),(58,1),(94,1),(97,1)}
        78:{2,3,6}:{(60,1),(62,1),(98,1),(99,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(63,1),(98,1),(99,1),(100,1),(129,1)}
        80:{2,3,5,6}:{(61,1),(64,1),(99,1),(100,1),(130,1)}
        81:{1,2,5,7}:{(62,1),(96,1),(98,1),(101,1),(125,1)}
        82:{3,5,7}:{(63,1),(97,1),(99,1),(102,1),(126,1),(130,1)}
        83:{2,4,7}:{(64,1),(100,1),(102,1),(138,1)}
        84:{1,3,6}:{(65,1),(68,1),(103,1),(104,1)}
        85:{1,2,4,6}:{(65,1),(66,1),(67,1),(69,1),(103,1),(104,1),(105,1),(131,1)}
        86:{1,3,5,6}:{(67,1),(70,1),(104,1),(105,1),(132,1)}
        87:{1,2,5,7}:{(68,1),(95,1),(103,1),(106,1),(124,1)}
        88:{3,5,7}:{(69,1),(97,1),(104,1),(107,1),(126,1),(132,1)}
        89:{1,4,7}:{(70,1),(105,1),(107,1),(139,1)}
        90:{1,4,5}:{(71,1),(72,1),(108,1),(136,1)}
        91:{2,4,5}:{(71,1),(73,1),(109,1),(137,1)}
        92:{1,3,4,6}:{(72,1),(75,1),(84,1),(108,1),(111,1),(113,1),(121,1),(135,1)}
        93:{2,3,4,6}:{(73,1),(76,1),(78,1),(109,1),(112,1),(113,1),(117,1),(135,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(77,1),(110,1),(113,1)}
        95:{1,2,4,7}:{(75,1),(87,1),(111,1),(114,1),(123,1)}
        96:{1,2,4,7}:{(76,1),(81,1),(112,1),(115,1),(119,1)}
        97:{3,7}:{(77,1),(113,1)}
        98:{1,2,6}:{(78,1),(81,1),(116,1)}
        99:{3,6}:{(79,1),(82,1)}
       100:{2,4,6}:{(80,1),(83,1),(117,1),(118,1)}
       101:{1,3,5,7}:{(81,1),(82,1),(115,1),(116,1),(119,1),(134,1),(136,1)}
       102:{3,4,7}:{(82,1),(83,1),(117,1),(119,1),(135,1)}
       103:{1,2,6}:{(84,1),(87,1),(120,1)}
       104:{3,6}:{(85,1),(88,1)}
       105:{1,4,6}:{(86,1),(89,1),(121,1),(122,1)}
       106:{2,3,5,7}:{(87,1),(88,1),(114,1),(120,1),(123,1),(133,1),(137,1)}
       107:{3,4,7}:{(88,1),(89,1),(121,1),(123,1),(135,1)}
       108:{1,3,5}:{(90,1),(92,1),(124,1),(126,1),(132,1)}
       109:{2,3,5}:{(91,1),(93,1),(125,1),(126,1),(130,1)}
       110:{1,2,4,5}:{(90,1),(91,1),(94,1),(124,1),(125,1),(126,1),(138,1),(139,1)}
       111:{1,2,4,6}:{(92,1),(95,1),(103,1),(124,1),(127,1),(131,1),(138,1)}
       112:{1,2,4,6}:{(93,1),(96,1),(98,1),(125,1),(128,1),(129,1),(139,1)}
       113:{3,6}:{(94,1),(97,1),(126,1)}
       114:{2,3,7}:{(95,1),(97,1),(127,1)}
       115:{1,3,7}:{(96,1),(97,1),(128,1)}
       116:{1,3,6}:{(98,1),(99,1),(101,1),(129,1)}
       117:{3,4,6}:{(99,1),(100,1),(102,1),(129,1),(130,1)}
       118:{2,4,5}:{(100,1),(130,1)}
       119:{1,4,7}:{(101,1),(102,1),(129,1),(139,1)}
       120:{2,3,6}:{(103,1),(104,1),(106,1),(131,1)}
       121:{3,4,6}:{(104,1),(105,1),(107,1),(131,1),(132,1)}
       122:{1,4,5}:{(105,1),(132,1)}
       123:{2,4,7}:{(106,1),(107,1),(131,1),(138,1)}
       124:{1,2,5}:{(108,1),(111,1),(133,1),(137,1)}
       125:{1,2,5}:{(109,1),(112,1),(134,1),(136,1)}
       126:{3,5}:{(110,1),(113,1),(135,1)}
       127:{2,3,6}:{(111,1),(113,1),(114,1),(133,1)}
       128:{1,3,6}:{(112,1),(113,1),(115,1),(134,1)}
       129:{1,4,6}:{(116,1),(117,1),(119,1),(136,1)}
       130:{3,5}:{(117,1),(118,1),(136,1)}
       131:{2,4,6}:{(120,1),(121,1),(123,1),(137,1)}
       132:{3,5}:{(121,1),(122,1),(137,1)}
       133:{2,3,5}:{(124,1),(126,1),(127,1),(138,1)}
       134:{1,3,5}:{(125,1),(126,1),(128,1),(139,1)}
       135:{3,4}:{(126,1),(138,1),(139,1)}
       136:{1,5}:{(129,1),(130,1)}
       137:{2,5}:{(131,1),(132,1)}
       138:{2,4}:{(133,1),(135,1)}
       139:{1,4}:{(134,1),(135,1)}

 945 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(30,1),(31,1),(34,1),(37,1),(38,1),(39,1),(76,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(42,1),(43,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(25,1),(50,1),(51,1),(55,1),(59,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(27,1),(28,1),(34,1)}
         4:{3,4,6}:{(1,1),(8,1),(12,1),(37,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(12,1),(62,1),(63,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(37,1),(71,1),(72,1),(76,1)}
         7:{1,2,4,5,6}:{(3,1),(15,1),(16,1),(20,1),(42,1),(43,1),(49,1),(86,1),(87,1),(88,1)}
         8:{3,5}:{(3,1),(4,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(19,1),(20,1),(25,1),(46,1),(47,1),(55,1),(60,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(21,1),(22,1),(42,1),(56,1),(78,1),(83,1),(104,1)}
        11:{2,3,4,6}:{(4,1),(18,1),(21,1),(23,1),(43,1),(57,1),(78,1),(83,1),(104,1)}
        12:{3,4,7}:{(4,1),(5,1),(19,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(24,1),(25,1),(80,1),(81,1)}
        14:{3,4,5}:{(8,1),(26,1),(27,1),(28,1),(65,1)}
        15:{3,5,6}:{(7,1),(8,1),(26,1),(32,1),(37,1)}
        16:{1,2,4,5,7}:{(7,1),(32,1),(33,1),(62,1),(63,1),(70,1),(95,1),(96,1),(97,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(34,1),(65,1),(108,1)}
        18:{2,3,5}:{(8,1),(11,1),(28,1),(34,1),(65,1),(108,1)}
        19:{3,5,7}:{(8,1),(9,1),(12,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(37,1),(38,1),(67,1),(68,1),(76,1),(77,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(34,1),(39,1),(40,1),(74,1),(76,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(35,1),(40,1),(62,1),(93,1),(98,1)}
        23:{2,3,4,7}:{(11,1),(12,1),(36,1),(40,1),(63,1),(93,1),(98,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(41,1),(77,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(41,1),(95,1),(96,1)}
        26:{3,4,6}:{(14,1),(15,1),(42,1),(43,1),(44,1),(78,1)}
        27:{1,4,5}:{(14,1),(17,1),(42,1),(111,1)}
        28:{2,4,5}:{(14,1),(18,1),(43,1),(111,1)}
        29:{3,4,5,7}:{(14,1),(19,1),(44,1),(46,1),(47,1),(48,1),(60,1),(82,1),(84,1),(110,1),(111,1)}
        30:{1,3,5,6}:{(15,1),(17,1),(42,1),(49,1),(50,1),(56,1),(78,1),(86,1),(105,1)}
        31:{2,3,5,6}:{(15,1),(18,1),(43,1),(49,1),(51,1),(57,1),(78,1),(87,1),(105,1)}
        32:{3,5,7}:{(15,1),(16,1),(44,1),(52,1)}
        33:{1,2,4,6,7}:{(16,1),(20,1),(52,1),(53,1),(80,1),(81,1),(89,1),(90,1)}
        34:{1,2,5}:{(17,1),(18,1),(21,1)}
        35:{1,3,5,7}:{(17,1),(19,1),(22,1),(46,1),(55,1),(56,1),(84,1)}
        36:{2,3,5,7}:{(18,1),(19,1),(23,1),(47,1),(55,1),(57,1),(84,1)}
        37:{3,6}:{(19,1),(20,1)}
        38:{1,2,5,6}:{(20,1),(25,1),(58,1),(86,1),(87,1)}
        39:{1,2,3,6}:{(21,1),(54,1),(59,1),(78,1)}
        40:{1,2,4,7}:{(21,1),(22,1),(23,1),(55,1),(59,1)}
        41:{3,5,7}:{(24,1),(25,1),(58,1),(60,1)}
        42:{1,4,6}:{(26,1),(27,1),(30,1),(62,1),(109,1)}
        43:{2,4,6}:{(26,1),(28,1),(31,1),(63,1),(109,1)}
        44:{3,4,7}:{(26,1),(32,1),(62,1),(63,1),(93,1)}
        45:{1,2,4,5}:{(27,1),(28,1),(34,1),(61,1),(65,1),(74,1)}
        46:{1,4,5,7}:{(27,1),(29,1),(35,1),(62,1),(67,1),(95,1)}
        47:{2,4,5,7}:{(28,1),(29,1),(36,1),(63,1),(68,1),(96,1)}
        48:{3,4,6}:{(29,1),(37,1),(67,1),(68,1),(69,1),(77,1),(99,1),(109,1)}
        49:{1,2,5,6}:{(30,1),(31,1),(34,1),(61,1),(70,1),(76,1)}
        50:{1,3,5,7}:{(30,1),(32,1),(62,1),(70,1),(71,1),(93,1),(95,1),(107,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(63,1),(70,1),(72,1),(93,1),(96,1),(107,1)}
        52:{3,6,7}:{(32,1),(33,1),(37,1)}
        53:{1,2,5,6,7}:{(33,1),(38,1),(73,1),(95,1),(96,1)}
        54:{1,2,3,5}:{(34,1),(39,1),(65,1),(74,1)}
        55:{1,2,5,7}:{(34,1),(35,1),(36,1),(40,1),(76,1)}
        56:{1,3,6}:{(35,1),(37,1),(67,1),(76,1),(99,1)}
        57:{2,3,6}:{(36,1),(37,1),(68,1),(76,1),(99,1)}
        58:{3,5,6}:{(37,1),(38,1),(41,1),(77,1)}
        59:{1,2,3,7}:{(39,1),(40,1),(93,1)}
        60:{4,5,7}:{(41,1),(77,1)}
        61:{1,2,4,6}:{(42,1),(43,1),(45,1),(49,1),(78,1),(79,1)}
        62:{1,4,7}:{(42,1),(44,1),(50,1),(110,1)}
        63:{2,4,7}:{(43,1),(44,1),(51,1),(110,1)}
        64:{3,4,6,7}:{(44,1),(48,1),(52,1),(80,1),(81,1),(82,1),(90,1),(102,1),(110,1)}
        65:{3,5}:{(45,1),(78,1),(83,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(55,1),(79,1),(84,1),(85,1),(91,1),(103,1),(106,1),(110,1),(111,1)}
        67:{1,4,6}:{(46,1),(48,1),(56,1),(86,1)}
        68:{2,4,6}:{(47,1),(48,1),(57,1),(87,1)}
        69:{3,5,6}:{(48,1),(82,1),(86,1),(87,1),(88,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(89,1)}
        71:{1,3,6,7}:{(50,1),(52,1),(56,1),(80,1),(89,1),(102,1)}
        72:{2,3,6,7}:{(51,1),(52,1),(57,1),(81,1),(89,1),(102,1)}
        73:{3,5,6,7}:{(52,1),(53,1),(58,1),(82,1),(90,1)}
        74:{1,2,4}:{(54,1),(83,1)}
        75:{1,2,3,5,7}:{(54,1),(55,1),(59,1),(84,1),(91,1),(92,1),(106,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{4,6}:{(58,1),(60,1)}
        78:{3,6}:{(61,1),(65,1),(93,1)}
        79:{1,2,4,7}:{(61,1),(62,1),(63,1),(70,1),(93,1)}
        80:{1,4,6,7}:{(62,1),(64,1),(67,1),(71,1),(95,1)}
        81:{2,4,6,7}:{(63,1),(64,1),(68,1),(72,1),(96,1)}
        82:{3,5,7}:{(64,1),(69,1),(95,1),(96,1),(97,1)}
        83:{3,4}:{(65,1),(74,1)}
        84:{3,5,7}:{(65,1),(66,1),(93,1),(98,1),(99,1),(108,1)}
        85:{1,2,4,6}:{(66,1),(67,1),(68,1),(76,1),(99,1),(100,1),(109,1)}
        86:{1,5,6}:{(67,1),(69,1),(95,1)}
        87:{2,5,6}:{(68,1),(69,1),(96,1)}
        88:{4,5,6}:{(69,1),(77,1),(97,1),(109,1)}
        89:{1,2,6,7}:{(70,1),(71,1),(72,1),(76,1)}
        90:{4,6,7}:{(73,1),(77,1),(97,1)}
        91:{1,2,4,7}:{(74,1),(75,1),(98,1),(101,1)}
        92:{1,2,3,6}:{(75,1),(76,1),(99,1),(101,1)}
        93:{3,7}:{(78,1),(79,1)}
        94:{1,2,4,6,7}:{(79,1),(80,1),(81,1),(85,1),(89,1),(102,1),(103,1),(110,1)}
        95:{1,5,7}:{(80,1),(82,1),(86,1)}
        96:{2,5,7}:{(81,1),(82,1),(87,1)}
        97:{4,5,7}:{(82,1),(88,1),(90,1),(110,1)}
        98:{3,4,7}:{(83,1),(84,1),(91,1),(104,1),(110,1)}
        99:{3,6}:{(84,1),(85,1)}
       100:{1,2,5,6}:{(85,1),(86,1),(87,1),(103,1),(105,1),(106,1)}
       101:{1,2,4,6}:{(91,1),(92,1),(104,1),(106,1)}
       102:{3,6,7}:{(93,1),(94,1),(99,1),(107,1)}
       103:{1,2,5,7}:{(94,1),(95,1),(96,1),(100,1),(107,1)}
       104:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       105:{3,5,6}:{(99,1),(100,1),(107,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(108,1)}
       107:{3,5,7}:{(102,1),(103,1),(105,1),(110,1)}
       108:{3,5}:{(104,1),(106,1),(111,1)}
       109:{4,6}:{(105,1),(110,1),(111,1)}
       110:{4,7}:{(107,1),(109,1)}
       111:{4,5}:{(108,1),(109,1)}

 946 :   0:{1,2,3,6,7}:{(2,1),(3,1),(37,1),(71,1),(72,1),(76,1),(80,1),(104,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(37,1),(42,1),(45,1),(72,1),(96,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(6,1),(8,1),(22,1),(61,1),(64,1),(83,1),(88,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(23,1),(57,1),(62,1),(86,1),(87,1),(93,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(9,1),(10,1),(23,1),(60,1),(63,1)}
         5:{1,3,4,6,7}:{(2,1),(11,1),(15,1),(33,1),(37,1),(41,1),(67,1),(71,1),(95,1),(104,1)}
         6:{1,2,5,7}:{(2,1),(4,1),(11,1),(12,1),(79,1),(81,1),(94,1)}
         7:{1,2,3,5,6}:{(3,1),(12,1),(14,1),(37,1),(40,1),(74,1),(75,1),(76,1),(79,1),(80,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(95,1),(96,1),(100,1)}
         9:{2,3,5,6}:{(4,1),(12,1),(17,1),(37,1),(46,1)}
        10:{2,4,5,7}:{(4,1),(17,1),(18,1),(78,1),(96,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(19,1),(20,1),(23,1),(59,1),(82,1)}
        12:{1,2,5,6}:{(6,1),(9,1),(19,1),(22,1),(65,1),(84,1)}
        13:{1,2,4,5,7}:{(6,1),(8,1),(10,1),(20,1),(22,1),(23,1),(24,1),(31,1),(51,1),(57,1),(92,1),(101,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(89,1),(90,1)}
        15:{3,4,7}:{(8,1),(23,1),(25,1),(103,1)}
        16:{2,3,5,6,7}:{(9,1),(21,1),(28,1),(53,1),(63,1),(87,1)}
        17:{2,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(23,1),(30,1),(31,1),(58,1),(63,1),(85,1)}
        19:{1,3,5,6}:{(11,1),(12,1),(33,1),(37,1),(68,1)}
        20:{1,4,5,7}:{(11,1),(33,1),(34,1),(77,1),(95,1)}
        21:{1,2,5,6,7}:{(12,1),(16,1),(32,1),(35,1),(81,1),(94,1),(97,1)}
        22:{1,2,4,6}:{(12,1),(13,1),(17,1),(33,1),(37,1),(47,1),(69,1),(76,1)}
        23:{3,5,7}:{(13,1),(15,1),(37,1),(40,1),(99,1),(104,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(77,1),(78,1),(79,1)}
        25:{3,4,6}:{(14,1),(15,1),(37,1),(40,1)}
        26:{1,3,4,7}:{(15,1),(38,1),(41,1),(43,1),(95,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(39,1),(42,1),(43,1),(96,1),(104,1)}
        28:{2,4,6,7}:{(16,1),(17,1),(44,1),(45,1),(96,1)}
        29:{2,4,5,6}:{(17,1),(44,1),(46,1)}
        30:{3,4,6}:{(17,1),(18,1),(37,1),(46,1),(47,1)}
        31:{1,4,5,7}:{(18,1),(38,1),(47,1),(77,1),(81,1),(95,1)}
        32:{1,3,5,6,7}:{(19,1),(21,1),(48,1),(53,1),(82,1),(86,1)}
        33:{1,4,6}:{(19,1),(20,1),(50,1)}
        34:{3,4,5,7}:{(20,1),(23,1),(50,1),(51,1),(58,1),(82,1),(85,1)}
        35:{1,2,4,6,7}:{(21,1),(22,1),(28,1),(48,1),(52,1),(53,1),(64,1),(83,1),(88,1),(101,1)}
        36:{1,2,4,5,6}:{(22,1),(24,1),(29,1),(49,1),(52,1),(54,1),(65,1),(84,1),(89,1),(90,1),(91,1)}
        37:{3,6}:{(22,1),(23,1)}
        38:{1,3,5,7}:{(23,1),(26,1),(31,1),(55,1),(57,1),(59,1)}
        39:{2,3,5,7}:{(23,1),(27,1),(51,1),(56,1),(57,1),(60,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(55,1),(59,1),(61,1),(89,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(27,1),(56,1),(60,1),(61,1),(90,1),(102,1),(103,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(57,1),(61,1),(62,1)}
        44:{2,4,5,7}:{(28,1),(29,1),(63,1)}
        45:{3,4,6,7}:{(28,1),(30,1),(53,1),(63,1),(64,1),(85,1)}
        46:{3,5,6}:{(29,1),(30,1),(63,1),(65,1)}
        47:{1,4,6}:{(30,1),(31,1),(55,1),(65,1)}
        48:{1,4,6,7}:{(32,1),(33,1),(66,1),(67,1),(95,1)}
        49:{1,4,5,6}:{(33,1),(66,1),(68,1)}
        50:{3,4,6}:{(33,1),(34,1),(37,1),(68,1),(69,1)}
        51:{2,4,5,7}:{(34,1),(39,1),(69,1),(78,1),(94,1),(96,1)}
        52:{1,2,4,5,7}:{(35,1),(36,1),(44,1),(66,1),(70,1),(81,1),(94,1),(95,1),(96,1),(97,1)}
        53:{3,6,7}:{(35,1),(37,1),(70,1),(104,1)}
        54:{3,5,6}:{(36,1),(37,1),(40,1),(70,1),(73,1)}
        55:{1,3,6}:{(37,1),(38,1),(47,1),(76,1)}
        56:{2,3,6}:{(37,1),(39,1),(69,1),(76,1)}
        57:{1,2,5,7}:{(38,1),(39,1),(43,1),(76,1),(79,1)}
        58:{3,4,5}:{(40,1),(73,1),(77,1),(78,1),(99,1)}
        59:{1,3,5}:{(40,1),(41,1),(77,1),(79,1),(99,1)}
        60:{2,3,5}:{(40,1),(42,1),(78,1),(79,1),(99,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(43,1),(76,1),(79,1),(80,1),(100,1)}
        62:{1,2,3,7}:{(43,1),(80,1),(104,1)}
        63:{3,5,7}:{(44,1),(45,1),(46,1),(81,1)}
        64:{1,4,6,7}:{(45,1),(47,1),(71,1),(81,1),(95,1)}
        65:{1,5,6}:{(46,1),(47,1),(81,1)}
        66:{1,4,5,7}:{(48,1),(49,1),(82,1)}
        67:{3,4,6,7}:{(48,1),(50,1),(53,1),(82,1),(83,1),(85,1)}
        68:{3,5,6}:{(49,1),(50,1),(82,1),(84,1)}
        69:{2,4,6}:{(50,1),(51,1),(56,1),(84,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{1,3,6,7}:{(53,1),(55,1),(64,1),(86,1),(88,1)}
        72:{2,3,6,7}:{(53,1),(56,1),(83,1),(87,1),(88,1)}
        73:{3,4,6}:{(54,1),(58,1),(85,1),(89,1),(90,1),(102,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(59,1),(65,1),(86,1),(89,1),(91,1),(102,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(60,1),(84,1),(87,1),(90,1),(91,1),(102,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{1,4,5}:{(58,1),(59,1),(89,1)}
        78:{2,4,5}:{(58,1),(60,1),(90,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(62,1),(93,1),(102,1)}
        81:{1,5,7}:{(63,1),(64,1),(65,1)}
        82:{3,5,7}:{(66,1),(67,1),(68,1),(94,1)}
        83:{2,4,6,7}:{(67,1),(69,1),(72,1),(94,1),(96,1)}
        84:{2,5,6}:{(68,1),(69,1),(94,1)}
        85:{3,4,7}:{(70,1),(73,1),(95,1),(96,1),(104,1)}
        86:{1,3,5,7}:{(70,1),(71,1),(74,1),(81,1),(95,1),(97,1),(104,1)}
        87:{2,3,5,7}:{(70,1),(72,1),(75,1),(94,1),(96,1),(97,1),(104,1)}
        88:{1,2,6,7}:{(71,1),(72,1),(76,1),(97,1)}
        89:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        90:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        91:{1,2,5,6}:{(74,1),(75,1),(76,1),(79,1),(97,1),(98,1)}
        92:{1,2,4,5}:{(77,1),(78,1),(79,1),(98,1),(99,1),(100,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(99,1),(100,1)}
        94:{2,5,7}:{(82,1),(83,1),(84,1)}
        95:{1,4,7}:{(85,1),(86,1),(89,1)}
        96:{2,4,7}:{(85,1),(87,1),(90,1)}
        97:{1,2,5,7}:{(86,1),(87,1),(88,1),(91,1),(101,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(92,1),(101,1),(102,1)}
        99:{3,5}:{(92,1),(102,1),(103,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       102:{3,6}:{(98,1),(99,1),(104,1)}
       103:{3,4}:{(99,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

 947 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(61,1),(114,1)}
         1:{2,3,4,6}:{(4,1),(5,1),(6,1),(17,1),(25,1),(26,1),(59,1),(61,1)}
         2:{1,2,3,5}:{(0,1),(9,1),(11,1),(31,1),(35,1),(83,1)}
         3:{1,2,3,7}:{(0,1),(10,1),(92,1),(143,1),(184,1)}
         4:{1,2,4,6}:{(0,1),(1,1),(7,1),(9,1),(10,1),(11,1),(39,1)}
         5:{2,3,4,7}:{(1,1),(10,1),(13,1),(34,1),(46,1),(92,1),(185,1)}
         6:{2,3,5}:{(1,1),(11,1),(12,1),(35,1),(90,1)}
         7:{1,3,4,6}:{(4,1),(15,1),(16,1),(17,1),(50,1),(51,1),(59,1),(61,1)}
         8:{1,2,3,5,7}:{(2,1),(3,1),(18,1),(19,1),(21,1),(53,1),(60,1),(62,1),(111,1),(113,1)}
         9:{1,2,4}:{(2,1),(17,1)}
        10:{1,2,4,7}:{(3,1),(4,1),(5,1),(15,1),(21,1),(203,1)}
        11:{1,2,5}:{(4,1),(6,1),(16,1)}
        12:{2,4,5}:{(6,1),(23,1),(25,1),(121,1)}
        13:{2,3,5,7}:{(5,1),(6,1),(21,1),(24,1),(26,1),(60,1),(204,1),(227,1)}
        14:{2,3,5,6}:{(6,1),(22,1),(25,1),(26,1),(27,1),(61,1),(66,1),(72,1),(122,1)}
        15:{1,3,4,7}:{(7,1),(10,1),(29,1),(34,1),(79,1),(92,1),(186,1)}
        16:{1,3,5}:{(7,1),(11,1),(28,1),(35,1),(90,1)}
        17:{3,4}:{(9,1),(35,1)}
        18:{1,2,3,6}:{(8,1),(36,1),(39,1),(91,1),(142,1)}
        19:{1,2,4,7}:{(8,1),(9,1),(34,1),(36,1),(140,1)}
        20:{1,2,4,5}:{(9,1),(11,1),(12,1),(28,1),(35,1),(38,1),(42,1),(75,1),(83,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(13,1),(29,1),(39,1),(217,1),(230,1)}
        22:{1,2,5,6}:{(11,1),(14,1),(30,1),(38,1),(39,1),(40,1),(95,1),(132,1)}
        23:{3,4,5}:{(12,1),(35,1),(42,1),(44,1)}
        24:{2,4,5,7}:{(12,1),(13,1),(43,1),(45,1),(46,1),(102,1),(193,1),(222,1)}
        25:{2,4,6}:{(12,1),(14,1),(44,1),(46,1),(150,1)}
        26:{2,3,6}:{(13,1),(39,1),(45,1),(91,1)}
        27:{2,3,5,7}:{(14,1),(40,1),(46,1),(47,1),(92,1),(96,1),(102,1),(151,1)}
        28:{1,4,5}:{(16,1),(48,1),(50,1),(121,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(21,1),(49,1),(51,1),(60,1),(205,1),(228,1)}
        30:{1,3,5,6}:{(16,1),(22,1),(50,1),(51,1),(52,1),(61,1),(103,1),(109,1),(122,1)}
        31:{1,2,3}:{(54,1)}
        32:{2,3,4}:{(17,1),(54,1),(56,1)}
        33:{1,3,4}:{(17,1),(54,1),(58,1)}
        34:{3,4,7}:{(17,1),(19,1),(59,1),(60,1),(164,1),(174,1)}
        35:{3,5}:{(17,1),(20,1),(61,1)}
        36:{1,2,4,6}:{(18,1),(19,1),(59,1),(62,1)}
        37:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(24,1),(49,1),(60,1),(62,1),(63,1),(64,1),(68,1),(105,1),(113,1),(121,1),(124,1),(165,1),(174,1),(207,1)}
        38:{1,2,4,6}:{(20,1),(22,1),(25,1),(50,1),(61,1),(64,1),(69,1),(106,1),(114,1)}
        39:{1,2,6}:{(21,1),(26,1),(51,1)}
        40:{1,2,5,7}:{(22,1),(27,1),(52,1),(64,1),(65,1),(125,1),(157,1)}
        41:{2,4,5,6}:{(25,1),(66,1),(67,1),(72,1),(130,1)}
        42:{1,4,5}:{(23,1),(58,1),(69,1)}
        43:{3,4,5,7}:{(23,1),(24,1),(60,1),(68,1),(70,1),(71,1),(121,1),(131,1),(171,1),(174,1),(211,1)}
        44:{3,4,6}:{(23,1),(25,1),(61,1),(66,1),(69,1),(71,1)}
        45:{2,4,6}:{(24,1),(26,1),(70,1),(72,1)}
        46:{2,4,7}:{(25,1),(27,1),(71,1),(174,1)}
        47:{2,3,6,7}:{(26,1),(27,1),(65,1),(73,1),(123,1),(126,1),(227,1)}
        48:{3,4,5}:{(28,1),(35,1),(75,1),(77,1)}
        49:{1,4,5,7}:{(28,1),(29,1),(76,1),(78,1),(79,1),(139,1),(190,1),(221,1)}
        50:{1,4,6}:{(28,1),(30,1),(77,1),(79,1),(150,1)}
        51:{1,3,6}:{(29,1),(39,1),(78,1),(91,1)}
        52:{1,3,5,7}:{(30,1),(40,1),(79,1),(80,1),(92,1),(133,1),(139,1),(151,1)}
        53:{1,2,3,7}:{(31,1),(81,1),(82,1),(220,1),(230,1)}
        54:{1,2,4}:{(31,1),(32,1),(33,1),(83,1)}
        55:{2,3,4,7}:{(32,1),(34,1),(82,1),(84,1),(85,1),(192,1),(220,1)}
        56:{2,3,5}:{(32,1),(35,1),(75,1),(83,1),(86,1)}
        57:{1,3,4,7}:{(33,1),(34,1),(82,1),(87,1),(88,1),(195,1),(220,1)}
        58:{1,3,5}:{(33,1),(35,1),(42,1),(83,1),(89,1)}
        59:{3,4,6}:{(34,1),(36,1),(90,1),(91,1),(150,1)}
        60:{3,5,7}:{(34,1),(35,1),(37,1),(90,1),(91,1),(92,1),(187,1),(220,1)}
        61:{3,6}:{(35,1),(38,1),(92,1)}
        62:{1,2,5}:{(36,1),(90,1)}
        63:{1,2,4,6}:{(37,1),(39,1),(45,1),(78,1),(91,1),(93,1),(98,1),(135,1),(142,1),(150,1)}
        64:{1,2,4,7}:{(38,1),(40,1),(46,1),(79,1),(92,1),(99,1),(136,1),(143,1)}
        65:{1,2,6,7}:{(39,1),(40,1),(47,1),(80,1),(152,1),(179,1),(230,1)}
        66:{3,5,6}:{(41,1),(44,1),(95,1),(96,1)}
        67:{2,4,5,7}:{(41,1),(46,1),(96,1),(97,1),(102,1),(156,1)}
        68:{1,4,5,7}:{(42,1),(43,1),(88,1),(98,1),(99,1),(147,1),(155,1),(195,1)}
        69:{1,4,6}:{(42,1),(44,1),(89,1),(95,1),(99,1)}
        70:{3,4,6}:{(43,1),(45,1),(91,1),(98,1),(100,1),(150,1)}
        71:{3,4,7}:{(44,1),(46,1),(92,1),(96,1),(99,1)}
        72:{2,5,6}:{(45,1),(100,1),(102,1)}
        73:{2,4,6,7}:{(45,1),(46,1),(47,1),(101,1),(102,1),(222,1),(223,1)}
        74:{1,4,5,6}:{(50,1),(103,1),(104,1),(109,1),(162,1)}
        75:{2,4,5}:{(48,1),(56,1),(106,1)}
        76:{3,4,5,7}:{(48,1),(49,1),(60,1),(105,1),(107,1),(108,1),(121,1),(163,1),(168,1),(174,1),(209,1)}
        77:{3,4,6}:{(48,1),(50,1),(61,1),(103,1),(106,1),(108,1)}
        78:{1,4,6}:{(49,1),(51,1),(107,1),(109,1)}
        79:{1,4,7}:{(50,1),(52,1),(108,1),(174,1)}
        80:{1,3,6,7}:{(51,1),(52,1),(65,1),(110,1),(123,1),(158,1),(228,1)}
        81:{1,2,3,6}:{(53,1),(111,1),(112,1),(206,1),(226,1)}
        82:{1,2,4,7}:{(53,1),(54,1),(55,1),(57,1),(112,1),(113,1)}
        83:{1,2,5}:{(54,1),(56,1),(58,1),(114,1)}
        84:{2,3,4,6}:{(55,1),(59,1),(112,1),(115,1),(116,1),(164,1),(169,1),(206,1)}
        85:{2,3,5,7}:{(55,1),(56,1),(60,1),(105,1),(113,1),(115,1),(116,1),(117,1)}
        86:{2,3,6}:{(56,1),(61,1),(106,1),(114,1),(117,1)}
        87:{1,3,4,6}:{(57,1),(59,1),(112,1),(118,1),(119,1),(164,1),(172,1),(206,1)}
        88:{1,3,5,7}:{(57,1),(58,1),(60,1),(68,1),(113,1),(118,1),(119,1),(120,1)}
        89:{1,3,6}:{(58,1),(61,1),(69,1),(114,1),(120,1)}
        90:{3,5}:{(59,1),(62,1),(121,1)}
        91:{3,6}:{(60,1),(63,1)}
        92:{3,7}:{(61,1),(64,1)}
        93:{1,2,5,6}:{(62,1),(63,1),(72,1),(109,1),(122,1),(124,1),(128,1),(160,1)}
        94:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(73,1),(110,1),(123,1),(124,1),(129,1),(161,1),(167,1),(174,1),(207,1)}
        95:{1,5,6}:{(66,1),(69,1),(125,1)}
        96:{3,5,7}:{(66,1),(67,1),(71,1),(125,1),(126,1)}
        97:{2,4,6,7}:{(67,1),(126,1),(127,1),(176,1)}
        98:{1,4,6}:{(68,1),(70,1),(119,1),(128,1)}
        99:{1,4,7}:{(69,1),(71,1),(120,1),(125,1)}
       100:{3,5,6}:{(70,1),(72,1),(128,1),(130,1),(131,1)}
       101:{3,4,6,7}:{(70,1),(71,1),(73,1),(123,1),(126,1),(129,1),(131,1),(174,1),(176,1),(211,1),(212,1)}
       102:{2,5,7}:{(72,1),(73,1),(131,1)}
       103:{3,5,6}:{(74,1),(77,1),(132,1),(133,1)}
       104:{1,4,5,7}:{(74,1),(79,1),(133,1),(134,1),(139,1),(183,1)}
       105:{2,4,5,7}:{(75,1),(76,1),(85,1),(135,1),(136,1),(144,1),(182,1),(192,1)}
       106:{2,4,6}:{(75,1),(77,1),(86,1),(132,1),(136,1)}
       107:{3,4,6}:{(76,1),(78,1),(91,1),(135,1),(137,1),(150,1)}
       108:{3,4,7}:{(77,1),(79,1),(92,1),(133,1),(136,1)}
       109:{1,5,6}:{(78,1),(137,1),(139,1)}
       110:{1,4,6,7}:{(78,1),(79,1),(80,1),(138,1),(139,1),(221,1),(229,1)}
       111:{1,2,3,5}:{(81,1),(140,1),(141,1),(184,1),(187,1),(217,1)}
       112:{1,2,4,6}:{(81,1),(82,1),(84,1),(87,1),(140,1),(141,1),(142,1)}
       113:{1,2,5,7}:{(82,1),(83,1),(85,1),(88,1),(141,1),(142,1),(143,1)}
       114:{1,2,6}:{(83,1),(86,1),(89,1),(143,1)}
       115:{2,3,5}:{(84,1),(90,1),(141,1),(144,1),(187,1)}
       116:{2,3,6}:{(85,1),(91,1),(135,1),(142,1)}
       117:{2,3,7}:{(86,1),(92,1),(136,1),(143,1)}
       118:{1,3,5}:{(87,1),(90,1),(141,1),(147,1),(187,1)}
       119:{1,3,6}:{(88,1),(91,1),(98,1),(142,1)}
       120:{1,3,7}:{(89,1),(92,1),(99,1),(143,1)}
       121:{4,5}:{(90,1),(150,1)}
       122:{3,5,6}:{(90,1),(91,1),(93,1),(150,1),(151,1)}
       123:{3,6,7}:{(91,1),(92,1),(94,1),(151,1),(220,1)}
       124:{1,2,5,7}:{(93,1),(94,1),(102,1),(139,1),(151,1),(155,1),(182,1)}
       125:{1,5,7}:{(95,1),(96,1),(99,1),(152,1)}
       126:{3,6,7}:{(96,1),(97,1),(152,1)}
       127:{2,5,6,7}:{(97,1),(102,1),(153,1),(223,1)}
       128:{1,5,6}:{(98,1),(100,1),(155,1)}
       129:{1,4,6,7}:{(98,1),(99,1),(101,1),(149,1),(152,1),(155,1),(195,1)}
       130:{4,5,6}:{(100,1),(150,1),(156,1)}
       131:{3,5,7}:{(100,1),(101,1),(102,1),(155,1),(156,1)}
       132:{2,5,6}:{(103,1),(106,1),(157,1)}
       133:{3,5,7}:{(103,1),(104,1),(108,1),(157,1),(158,1)}
       134:{1,4,6,7}:{(104,1),(158,1),(159,1),(200,1)}
       135:{2,4,6}:{(105,1),(107,1),(116,1),(160,1)}
       136:{2,4,7}:{(106,1),(108,1),(117,1),(157,1)}
       137:{3,5,6}:{(107,1),(109,1),(160,1),(162,1),(163,1)}
       138:{3,4,6,7}:{(107,1),(108,1),(110,1),(123,1),(158,1),(161,1),(163,1),(174,1),(200,1),(209,1),(224,1)}
       139:{1,5,7}:{(109,1),(110,1),(163,1)}
       140:{1,2,4}:{(111,1),(164,1)}
       141:{1,2,5}:{(112,1),(115,1),(118,1)}
       142:{1,2,6}:{(113,1),(116,1),(119,1)}
       143:{1,2,7}:{(114,1),(117,1),(120,1)}
       144:{2,4,5}:{(115,1),(121,1),(168,1),(169,1)}
       145:{2,3,5,6}:{(115,1),(116,1),(122,1),(160,1),(166,1),(169,1),(170,1),(201,1),(206,1)}
       146:{2,3,6,7}:{(116,1),(117,1),(123,1),(161,1),(167,1),(170,1),(224,1)}
       147:{1,4,5}:{(118,1),(121,1),(171,1),(172,1)}
       148:{1,3,5,6}:{(118,1),(119,1),(122,1),(128,1),(166,1),(172,1),(173,1),(177,1),(206,1)}
       149:{1,3,6,7}:{(119,1),(120,1),(123,1),(129,1),(167,1),(173,1),(212,1)}
       150:{4,6}:{(121,1),(122,1),(174,1)}
       151:{3,5,7}:{(122,1),(123,1),(124,1),(174,1)}
       152:{1,6,7}:{(125,1),(126,1)}
       153:{3,5,6,7}:{(126,1),(127,1),(131,1),(175,1),(176,1),(212,1)}
       154:{1,4,5,6}:{(128,1),(130,1),(172,1),(177,1),(178,1)}
       155:{1,5,7}:{(128,1),(129,1),(131,1)}
       156:{4,5,7}:{(130,1),(131,1),(174,1),(176,1)}
       157:{2,5,7}:{(132,1),(133,1),(136,1),(179,1)}
       158:{3,6,7}:{(133,1),(134,1),(179,1)}
       159:{1,5,6,7}:{(134,1),(139,1),(180,1),(229,1)}
       160:{2,5,6}:{(135,1),(137,1),(182,1)}
       161:{2,4,6,7}:{(135,1),(136,1),(138,1),(146,1),(179,1),(182,1),(192,1)}
       162:{4,5,6}:{(137,1),(150,1),(183,1)}
       163:{3,5,7}:{(137,1),(138,1),(139,1),(182,1),(183,1)}
       164:{3,4}:{(140,1),(187,1)}
       165:{1,2,4,5}:{(140,1),(141,1),(144,1),(147,1),(187,1),(188,1),(190,1),(193,1),(217,1)}
       166:{1,2,5,6}:{(141,1),(142,1),(145,1),(148,1),(188,1),(189,1),(197,1),(215,1)}
       167:{1,2,6,7}:{(142,1),(143,1),(146,1),(149,1),(189,1),(223,1),(229,1)}
       168:{3,4,5}:{(144,1),(187,1),(190,1),(191,1)}
       169:{2,4,6}:{(144,1),(145,1),(150,1),(191,1),(192,1)}
       170:{2,3,5,7}:{(145,1),(146,1),(151,1),(182,1),(189,1),(192,1),(216,1),(220,1)}
       171:{3,4,5}:{(147,1),(187,1),(193,1),(194,1)}
       172:{1,4,6}:{(147,1),(148,1),(150,1),(194,1),(195,1)}
       173:{1,3,5,7}:{(148,1),(149,1),(151,1),(155,1),(189,1),(195,1),(198,1),(220,1)}
       174:{4,7}:{(150,1),(151,1)}
       175:{1,5,6,7}:{(152,1),(153,1),(155,1),(196,1)}
       176:{4,6,7}:{(153,1),(156,1)}
       177:{3,5,6}:{(154,1),(194,1),(197,1),(198,1)}
       178:{1,4,5,7}:{(154,1),(155,1),(156,1),(195,1),(196,1),(198,1)}
       179:{2,6,7}:{(157,1),(158,1)}
       180:{3,5,6,7}:{(158,1),(159,1),(163,1),(199,1),(200,1),(224,1)}
       181:{2,4,5,6}:{(160,1),(162,1),(169,1),(201,1),(202,1)}
       182:{2,5,7}:{(160,1),(161,1),(163,1)}
       183:{4,5,7}:{(162,1),(163,1),(174,1),(200,1)}
       184:{1,2,3}:{(203,1)}
       185:{2,3,4}:{(164,1),(203,1),(204,1)}
       186:{1,3,4}:{(164,1),(203,1),(205,1)}
       187:{3,5}:{(164,1),(165,1),(206,1)}
       188:{1,2,4,6}:{(165,1),(166,1),(169,1),(172,1),(206,1),(207,1),(208,1),(210,1),(226,1)}
       189:{1,2,5,7}:{(166,1),(167,1),(170,1),(173,1),(207,1),(213,1),(225,1)}
       190:{1,4,5}:{(168,1),(205,1),(208,1)}
       191:{3,4,6}:{(168,1),(169,1),(201,1),(206,1),(208,1),(209,1)}
       192:{2,4,7}:{(169,1),(170,1),(174,1),(209,1)}
       193:{2,4,5}:{(171,1),(204,1),(210,1)}
       194:{3,4,6}:{(171,1),(172,1),(177,1),(206,1),(210,1),(211,1)}
       195:{1,4,7}:{(172,1),(173,1),(174,1),(211,1)}
       196:{1,4,6,7}:{(175,1),(176,1),(178,1),(212,1)}
       197:{2,5,6}:{(177,1),(210,1),(213,1)}
       198:{3,5,7}:{(177,1),(178,1),(211,1),(212,1),(213,1)}
       199:{2,5,6,7}:{(179,1),(180,1),(182,1),(214,1)}
       200:{4,6,7}:{(180,1),(183,1)}
       201:{3,5,6}:{(181,1),(191,1),(215,1),(216,1)}
       202:{2,4,5,7}:{(181,1),(182,1),(183,1),(192,1),(214,1),(216,1)}
       203:{1,2,4}:{(184,1),(185,1),(186,1),(217,1)}
       204:{2,3,5}:{(185,1),(187,1),(193,1),(217,1),(218,1)}
       205:{1,3,5}:{(186,1),(187,1),(190,1),(217,1),(219,1)}
       206:{3,6}:{(187,1),(188,1),(220,1)}
       207:{1,2,4,7}:{(188,1),(189,1),(192,1),(195,1),(220,1),(221,1),(222,1),(230,1)}
       208:{1,4,6}:{(190,1),(191,1),(215,1),(219,1),(221,1)}
       209:{3,4,7}:{(191,1),(192,1),(216,1),(220,1),(221,1)}
       210:{2,4,6}:{(193,1),(194,1),(197,1),(218,1),(222,1)}
       211:{3,4,7}:{(194,1),(195,1),(198,1),(220,1),(222,1)}
       212:{3,6,7}:{(196,1),(198,1),(223,1)}
       213:{2,5,7}:{(197,1),(198,1),(222,1),(223,1)}
       214:{2,4,6,7}:{(199,1),(200,1),(202,1),(224,1)}
       215:{1,5,6}:{(201,1),(208,1),(225,1)}
       216:{3,5,7}:{(201,1),(202,1),(209,1),(224,1),(225,1)}
       217:{1,2,5}:{(203,1),(204,1),(205,1),(226,1)}
       218:{2,3,6}:{(204,1),(206,1),(210,1),(226,1),(227,1)}
       219:{1,3,6}:{(205,1),(206,1),(208,1),(226,1),(228,1)}
       220:{3,7}:{(206,1),(207,1)}
       221:{1,4,7}:{(208,1),(209,1),(225,1),(228,1)}
       222:{2,4,7}:{(210,1),(211,1),(213,1),(227,1)}
       223:{2,6,7}:{(212,1),(213,1)}
       224:{3,6,7}:{(214,1),(216,1),(229,1)}
       225:{1,5,7}:{(215,1),(216,1),(221,1),(229,1)}
       226:{1,2,6}:{(217,1),(218,1),(219,1),(230,1)}
       227:{2,3,7}:{(218,1),(220,1),(222,1),(230,1)}
       228:{1,3,7}:{(219,1),(220,1),(221,1),(230,1)}
       229:{1,6,7}:{(224,1),(225,1)}
       230:{1,2,7}:{(226,1),(227,1),(228,1)}

 948 :   0:{1,2,3,7}:{(3,1),(4,1),(133,1),(179,1),(191,1)}
         1:{2,3,4,7}:{(4,1),(5,1),(6,1),(18,1),(78,1),(133,1),(180,1)}
         2:{1,2,3,5,7}:{(0,1),(8,1),(9,1),(10,1),(12,1),(32,1),(36,1),(37,1),(86,1),(88,1)}
         3:{1,2,3,6}:{(0,1),(10,1),(11,1),(100,1),(162,1)}
         4:{1,2,4,7}:{(0,1),(1,1),(7,1),(11,1),(12,1),(202,1)}
         5:{2,3,4,6}:{(1,1),(11,1),(14,1),(15,1),(35,1),(39,1),(48,1),(100,1)}
         6:{2,3,5,7}:{(1,1),(12,1),(13,1),(14,1),(15,1),(36,1),(203,1),(227,1)}
         7:{1,3,4,7}:{(4,1),(16,1),(17,1),(18,1),(118,1),(133,1),(181,1)}
         8:{1,2,3,6}:{(2,1),(19,1),(23,1),(62,1),(121,1)}
         9:{1,2,4,7}:{(2,1),(18,1),(19,1),(21,1),(119,1)}
        10:{1,2,3,5}:{(3,1),(21,1),(22,1),(65,1),(68,1),(130,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(5,1),(16,1),(21,1),(22,1),(23,1)}
        12:{1,2,5,7}:{(4,1),(6,1),(17,1),(22,1),(23,1),(217,1),(230,1)}
        13:{2,4,5,7}:{(6,1),(24,1),(25,1),(26,1),(75,1),(78,1),(188,1),(222,1)}
        14:{2,3,5}:{(5,1),(22,1),(26,1),(61,1),(68,1)}
        15:{2,3,6}:{(6,1),(23,1),(25,1),(62,1)}
        16:{1,3,4,6}:{(7,1),(11,1),(30,1),(31,1),(35,1),(39,1),(84,1),(100,1)}
        17:{1,3,5,7}:{(7,1),(12,1),(29,1),(30,1),(31,1),(36,1),(204,1),(228,1)}
        18:{3,4,7}:{(9,1),(35,1),(36,1),(39,1),(151,1),(161,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(35,1),(37,1)}
        20:{1,2,4,5,7}:{(9,1),(12,1),(13,1),(29,1),(36,1),(37,1),(38,1),(40,1),(43,1),(79,1),(88,1),(93,1),(96,1),(101,1),(152,1),(161,1),(206,1)}
        21:{1,2,4}:{(10,1),(39,1)}
        22:{1,2,5}:{(11,1),(14,1),(30,1)}
        23:{1,2,6}:{(12,1),(15,1),(31,1)}
        24:{3,4,5,7}:{(13,1),(36,1),(43,1),(44,1),(47,1),(93,1),(105,1),(110,1),(158,1),(161,1),(210,1)}
        25:{2,4,6}:{(13,1),(15,1),(44,1),(45,1)}
        26:{2,4,5}:{(14,1),(47,1),(48,1),(93,1)}
        27:{2,3,5,6}:{(14,1),(15,1),(41,1),(45,1),(48,1),(49,1),(94,1),(100,1),(107,1)}
        28:{2,3,6,7}:{(15,1),(42,1),(46,1),(49,1),(95,1),(169,1),(227,1)}
        29:{1,4,5,7}:{(17,1),(50,1),(51,1),(52,1),(115,1),(118,1),(185,1),(221,1)}
        30:{1,3,5}:{(16,1),(22,1),(52,1),(61,1),(68,1)}
        31:{1,3,6}:{(17,1),(23,1),(51,1),(62,1)}
        32:{1,2,3,7}:{(55,1),(56,1),(65,1),(220,1),(230,1)}
        33:{2,3,4,7}:{(18,1),(56,1),(57,1),(58,1),(66,1),(187,1),(220,1)}
        34:{1,3,4,7}:{(18,1),(56,1),(59,1),(60,1),(67,1),(190,1),(220,1)}
        35:{3,4,6}:{(18,1),(19,1),(61,1),(62,1),(128,1)}
        36:{3,5,7}:{(18,1),(20,1),(61,1),(62,1),(68,1),(133,1),(182,1),(220,1)}
        37:{1,2,5}:{(19,1),(61,1)}
        38:{1,2,4,6}:{(20,1),(23,1),(25,1),(51,1),(62,1),(63,1),(71,1),(111,1),(121,1),(128,1)}
        39:{3,4}:{(21,1),(68,1)}
        40:{1,2,4,5}:{(21,1),(22,1),(26,1),(52,1),(68,1),(69,1),(76,1),(116,1),(130,1)}
        41:{1,2,5,6}:{(22,1),(23,1),(27,1),(53,1),(69,1),(70,1),(139,1),(176,1)}
        42:{1,2,6,7}:{(23,1),(28,1),(54,1),(70,1),(195,1),(216,1),(230,1)}
        43:{1,4,5,7}:{(24,1),(60,1),(71,1),(76,1),(125,1),(135,1),(141,1),(190,1)}
        44:{3,4,6}:{(24,1),(25,1),(62,1),(71,1),(72,1),(128,1)}
        45:{2,5,6}:{(25,1),(72,1),(75,1)}
        46:{2,4,6,7}:{(25,1),(28,1),(73,1),(75,1),(78,1),(222,1),(223,1)}
        47:{3,4,5}:{(26,1),(68,1),(76,1),(77,1)}
        48:{2,4,6}:{(26,1),(27,1),(77,1),(78,1),(128,1)}
        49:{2,3,5,7}:{(27,1),(28,1),(70,1),(75,1),(78,1),(129,1),(133,1),(140,1)}
        50:{3,4,5,7}:{(29,1),(36,1),(79,1),(80,1),(83,1),(93,1),(145,1),(150,1),(155,1),(161,1),(208,1)}
        51:{1,4,6}:{(29,1),(31,1),(80,1),(81,1)}
        52:{1,4,5}:{(30,1),(83,1),(84,1),(93,1)}
        53:{1,3,5,6}:{(30,1),(31,1),(41,1),(81,1),(84,1),(85,1),(94,1),(100,1),(147,1)}
        54:{1,3,6,7}:{(31,1),(42,1),(82,1),(85,1),(95,1),(200,1),(228,1)}
        55:{1,2,3,6}:{(32,1),(86,1),(87,1),(205,1),(226,1)}
        56:{1,2,4,7}:{(32,1),(33,1),(34,1),(87,1),(88,1),(97,1)}
        57:{2,3,4,6}:{(33,1),(35,1),(87,1),(89,1),(90,1),(151,1),(156,1),(205,1)}
        58:{2,3,5,7}:{(33,1),(36,1),(79,1),(88,1),(89,1),(90,1),(98,1),(163,1)}
        59:{1,3,4,6}:{(34,1),(35,1),(87,1),(91,1),(92,1),(151,1),(159,1),(205,1)}
        60:{1,3,5,7}:{(34,1),(36,1),(43,1),(88,1),(91,1),(92,1),(99,1),(164,1)}
        61:{3,5}:{(35,1),(37,1),(93,1)}
        62:{3,6}:{(36,1),(38,1)}
        63:{1,2,5,6}:{(37,1),(38,1),(45,1),(81,1),(94,1),(96,1),(102,1),(142,1)}
        64:{1,2,4,6,7}:{(38,1),(42,1),(46,1),(82,1),(95,1),(96,1),(101,1),(103,1),(143,1),(154,1),(161,1),(206,1)}
        65:{1,2,3}:{(97,1)}
        66:{2,3,4}:{(39,1),(97,1),(98,1)}
        67:{1,3,4}:{(39,1),(97,1),(99,1)}
        68:{3,5}:{(39,1),(40,1),(100,1)}
        69:{1,2,4,6}:{(40,1),(41,1),(48,1),(84,1),(100,1),(101,1),(109,1),(149,1),(162,1)}
        70:{1,2,5,7}:{(41,1),(42,1),(49,1),(85,1),(101,1),(170,1),(201,1)}
        71:{1,4,6}:{(43,1),(44,1),(92,1),(102,1)}
        72:{3,5,6}:{(44,1),(45,1),(102,1),(104,1),(105,1)}
        73:{3,4,6,7}:{(44,1),(46,1),(95,1),(103,1),(105,1),(110,1),(161,1),(168,1),(169,1),(210,1),(211,1)}
        74:{2,4,5,6}:{(45,1),(48,1),(104,1),(107,1),(108,1)}
        75:{2,5,7}:{(45,1),(46,1),(105,1)}
        76:{1,4,5}:{(47,1),(99,1),(109,1)}
        77:{3,4,6}:{(47,1),(48,1),(100,1),(107,1),(109,1),(110,1)}
        78:{2,4,7}:{(48,1),(49,1),(110,1),(161,1)}
        79:{2,4,5,7}:{(50,1),(58,1),(111,1),(116,1),(122,1),(172,1),(178,1),(187,1)}
        80:{3,4,6}:{(50,1),(51,1),(62,1),(111,1),(112,1),(128,1)}
        81:{1,5,6}:{(51,1),(112,1),(115,1)}
        82:{1,4,6,7}:{(51,1),(54,1),(113,1),(115,1),(118,1),(221,1),(229,1)}
        83:{3,4,5}:{(52,1),(68,1),(116,1),(117,1)}
        84:{1,4,6}:{(52,1),(53,1),(117,1),(118,1),(128,1)}
        85:{1,3,5,7}:{(53,1),(54,1),(70,1),(115,1),(118,1),(129,1),(133,1),(177,1)}
        86:{1,2,3,5}:{(55,1),(119,1),(120,1),(179,1),(182,1),(217,1)}
        87:{1,2,4,6}:{(55,1),(56,1),(57,1),(59,1),(119,1),(120,1),(121,1)}
        88:{1,2,5,7}:{(56,1),(58,1),(60,1),(120,1),(121,1),(130,1),(191,1)}
        89:{2,3,5}:{(57,1),(61,1),(120,1),(122,1),(182,1)}
        90:{2,3,6}:{(58,1),(62,1),(111,1),(121,1)}
        91:{1,3,5}:{(59,1),(61,1),(120,1),(125,1),(182,1)}
        92:{1,3,6}:{(60,1),(62,1),(71,1),(121,1)}
        93:{4,5}:{(61,1),(128,1)}
        94:{3,5,6}:{(61,1),(62,1),(63,1),(128,1),(129,1)}
        95:{3,6,7}:{(62,1),(64,1),(129,1),(133,1),(220,1)}
        96:{1,2,5,7}:{(63,1),(64,1),(75,1),(115,1),(129,1),(135,1),(172,1)}
        97:{1,2,4}:{(65,1),(66,1),(67,1),(130,1)}
        98:{2,3,5}:{(66,1),(68,1),(116,1),(130,1),(131,1)}
        99:{1,3,5}:{(67,1),(68,1),(76,1),(130,1),(132,1)}
       100:{3,6}:{(68,1),(69,1),(133,1)}
       101:{1,2,4,7}:{(69,1),(70,1),(78,1),(118,1),(133,1),(141,1),(178,1),(191,1)}
       102:{1,5,6}:{(71,1),(72,1),(135,1)}
       103:{1,4,6,7}:{(71,1),(73,1),(127,1),(135,1),(141,1),(190,1),(195,1)}
       104:{4,5,6}:{(72,1),(128,1),(137,1)}
       105:{3,5,7}:{(72,1),(73,1),(75,1),(135,1),(137,1)}
       106:{2,5,6,7}:{(75,1),(136,1),(138,1),(223,1)}
       107:{3,5,6}:{(74,1),(77,1),(139,1),(140,1)}
       108:{2,4,5,7}:{(74,1),(75,1),(78,1),(137,1),(138,1),(140,1)}
       109:{1,4,6}:{(76,1),(77,1),(132,1),(139,1),(141,1)}
       110:{3,4,7}:{(77,1),(78,1),(133,1),(140,1),(141,1)}
       111:{2,4,6}:{(79,1),(80,1),(90,1),(142,1)}
       112:{3,5,6}:{(80,1),(81,1),(142,1),(144,1),(145,1)}
       113:{3,4,6,7}:{(80,1),(82,1),(95,1),(143,1),(145,1),(150,1),(161,1),(199,1),(200,1),(208,1),(224,1)}
       114:{1,4,5,6}:{(81,1),(84,1),(144,1),(147,1),(148,1)}
       115:{1,5,7}:{(81,1),(82,1),(145,1)}
       116:{2,4,5}:{(83,1),(98,1),(149,1)}
       117:{3,4,6}:{(83,1),(84,1),(100,1),(147,1),(149,1),(150,1)}
       118:{1,4,7}:{(84,1),(85,1),(150,1),(161,1)}
       119:{1,2,4}:{(86,1),(151,1)}
       120:{1,2,5}:{(87,1),(89,1),(91,1)}
       121:{1,2,6}:{(88,1),(90,1),(92,1)}
       122:{2,4,5}:{(89,1),(93,1),(155,1),(156,1)}
       123:{2,3,5,6}:{(89,1),(90,1),(94,1),(142,1),(153,1),(156,1),(157,1),(197,1),(205,1)}
       124:{2,3,6,7}:{(90,1),(95,1),(143,1),(154,1),(157,1),(163,1),(224,1)}
       125:{1,4,5}:{(91,1),(93,1),(158,1),(159,1)}
       126:{1,3,5,6}:{(91,1),(92,1),(94,1),(102,1),(153,1),(159,1),(160,1),(166,1),(205,1)}
       127:{1,3,6,7}:{(92,1),(95,1),(103,1),(154,1),(160,1),(164,1),(211,1)}
       128:{4,6}:{(93,1),(94,1),(161,1)}
       129:{3,5,7}:{(94,1),(95,1),(96,1),(161,1)}
       130:{1,2,5}:{(97,1),(98,1),(99,1),(162,1)}
       131:{2,3,6}:{(98,1),(100,1),(149,1),(162,1),(163,1)}
       132:{1,3,6}:{(99,1),(100,1),(109,1),(162,1),(164,1)}
       133:{3,7}:{(100,1),(101,1)}
       134:{1,4,5,6}:{(102,1),(104,1),(159,1),(166,1),(167,1)}
       135:{1,5,7}:{(102,1),(103,1),(105,1)}
       136:{3,5,6,7}:{(105,1),(106,1),(165,1),(168,1),(169,1),(211,1)}
       137:{4,5,7}:{(104,1),(105,1),(161,1),(168,1)}
       138:{2,4,6,7}:{(106,1),(108,1),(168,1),(169,1)}
       139:{1,5,6}:{(107,1),(109,1),(170,1)}
       140:{3,5,7}:{(107,1),(108,1),(110,1),(169,1),(170,1)}
       141:{1,4,7}:{(109,1),(110,1),(164,1),(170,1)}
       142:{2,5,6}:{(111,1),(112,1),(172,1)}
       143:{2,4,6,7}:{(111,1),(113,1),(124,1),(172,1),(178,1),(187,1),(216,1)}
       144:{4,5,6}:{(112,1),(128,1),(174,1)}
       145:{3,5,7}:{(112,1),(113,1),(115,1),(172,1),(174,1)}
       146:{1,5,6,7}:{(115,1),(173,1),(175,1),(229,1)}
       147:{3,5,6}:{(114,1),(117,1),(176,1),(177,1)}
       148:{1,4,5,7}:{(114,1),(115,1),(118,1),(174,1),(175,1),(177,1)}
       149:{2,4,6}:{(116,1),(117,1),(131,1),(176,1),(178,1)}
       150:{3,4,7}:{(117,1),(118,1),(133,1),(177,1),(178,1)}
       151:{3,4}:{(119,1),(182,1)}
       152:{1,2,4,5}:{(119,1),(120,1),(122,1),(125,1),(182,1),(183,1),(185,1),(188,1),(217,1)}
       153:{1,2,5,6}:{(120,1),(121,1),(123,1),(126,1),(183,1),(184,1),(193,1),(214,1)}
       154:{1,2,6,7}:{(121,1),(124,1),(127,1),(184,1),(191,1),(223,1),(229,1)}
       155:{3,4,5}:{(122,1),(182,1),(185,1),(186,1)}
       156:{2,4,6}:{(122,1),(123,1),(128,1),(186,1),(187,1)}
       157:{2,3,5,7}:{(123,1),(124,1),(129,1),(172,1),(184,1),(187,1),(215,1),(220,1)}
       158:{3,4,5}:{(125,1),(182,1),(188,1),(189,1)}
       159:{1,4,6}:{(125,1),(126,1),(128,1),(189,1),(190,1)}
       160:{1,3,5,7}:{(126,1),(127,1),(129,1),(135,1),(184,1),(190,1),(194,1),(220,1)}
       161:{4,7}:{(128,1),(129,1)}
       162:{1,2,6}:{(130,1),(131,1),(132,1),(191,1)}
       163:{2,3,7}:{(131,1),(133,1),(178,1),(191,1)}
       164:{1,3,7}:{(132,1),(133,1),(141,1),(191,1)}
       165:{1,5,6,7}:{(135,1),(136,1),(192,1),(195,1)}
       166:{3,5,6}:{(134,1),(189,1),(193,1),(194,1)}
       167:{1,4,5,7}:{(134,1),(135,1),(137,1),(190,1),(192,1),(194,1)}
       168:{4,6,7}:{(136,1),(137,1)}
       169:{3,6,7}:{(138,1),(140,1),(195,1)}
       170:{1,5,7}:{(139,1),(140,1),(141,1),(195,1)}
       171:{2,4,5,6}:{(142,1),(144,1),(156,1),(197,1),(198,1)}
       172:{2,5,7}:{(142,1),(143,1),(145,1)}
       173:{3,5,6,7}:{(145,1),(146,1),(196,1),(199,1),(200,1),(224,1)}
       174:{4,5,7}:{(144,1),(145,1),(161,1),(199,1)}
       175:{1,4,6,7}:{(146,1),(148,1),(199,1),(200,1)}
       176:{2,5,6}:{(147,1),(149,1),(201,1)}
       177:{3,5,7}:{(147,1),(148,1),(150,1),(200,1),(201,1)}
       178:{2,4,7}:{(149,1),(150,1),(163,1),(201,1)}
       179:{1,2,3}:{(202,1)}
       180:{2,3,4}:{(151,1),(202,1),(203,1)}
       181:{1,3,4}:{(151,1),(202,1),(204,1)}
       182:{3,5}:{(151,1),(152,1),(205,1)}
       183:{1,2,4,6}:{(152,1),(153,1),(156,1),(159,1),(205,1),(206,1),(207,1),(209,1),(226,1)}
       184:{1,2,5,7}:{(153,1),(154,1),(157,1),(160,1),(206,1),(212,1),(225,1)}
       185:{1,4,5}:{(155,1),(204,1),(207,1)}
       186:{3,4,6}:{(155,1),(156,1),(197,1),(205,1),(207,1),(208,1)}
       187:{2,4,7}:{(156,1),(157,1),(161,1),(208,1)}
       188:{2,4,5}:{(158,1),(203,1),(209,1)}
       189:{3,4,6}:{(158,1),(159,1),(166,1),(205,1),(209,1),(210,1)}
       190:{1,4,7}:{(159,1),(160,1),(161,1),(210,1)}
       191:{1,2,7}:{(162,1),(163,1),(164,1)}
       192:{1,4,6,7}:{(165,1),(167,1),(168,1),(211,1)}
       193:{2,5,6}:{(166,1),(209,1),(212,1)}
       194:{3,5,7}:{(166,1),(167,1),(210,1),(211,1),(212,1)}
       195:{1,6,7}:{(169,1),(170,1)}
       196:{2,5,6,7}:{(172,1),(173,1),(213,1),(216,1)}
       197:{3,5,6}:{(171,1),(186,1),(214,1),(215,1)}
       198:{2,4,5,7}:{(171,1),(172,1),(174,1),(187,1),(213,1),(215,1)}
       199:{4,6,7}:{(173,1),(174,1)}
       200:{3,6,7}:{(175,1),(177,1),(216,1)}
       201:{2,5,7}:{(176,1),(177,1),(178,1),(216,1)}
       202:{1,2,4}:{(179,1),(180,1),(181,1),(217,1)}
       203:{2,3,5}:{(180,1),(182,1),(188,1),(217,1),(218,1)}
       204:{1,3,5}:{(181,1),(182,1),(185,1),(217,1),(219,1)}
       205:{3,6}:{(182,1),(183,1),(220,1)}
       206:{1,2,4,7}:{(183,1),(184,1),(187,1),(190,1),(220,1),(221,1),(222,1),(230,1)}
       207:{1,4,6}:{(185,1),(186,1),(214,1),(219,1),(221,1)}
       208:{3,4,7}:{(186,1),(187,1),(215,1),(220,1),(221,1)}
       209:{2,4,6}:{(188,1),(189,1),(193,1),(218,1),(222,1)}
       210:{3,4,7}:{(189,1),(190,1),(194,1),(220,1),(222,1)}
       211:{3,6,7}:{(192,1),(194,1),(223,1)}
       212:{2,5,7}:{(193,1),(194,1),(222,1),(223,1)}
       213:{2,4,6,7}:{(196,1),(198,1),(199,1),(224,1)}
       214:{1,5,6}:{(197,1),(207,1),(225,1)}
       215:{3,5,7}:{(197,1),(198,1),(208,1),(224,1),(225,1)}
       216:{2,6,7}:{(200,1),(201,1)}
       217:{1,2,5}:{(202,1),(203,1),(204,1),(226,1)}
       218:{2,3,6}:{(203,1),(205,1),(209,1),(226,1),(227,1)}
       219:{1,3,6}:{(204,1),(205,1),(207,1),(226,1),(228,1)}
       220:{3,7}:{(205,1),(206,1)}
       221:{1,4,7}:{(207,1),(208,1),(225,1),(228,1)}
       222:{2,4,7}:{(209,1),(210,1),(212,1),(227,1)}
       223:{2,6,7}:{(211,1),(212,1)}
       224:{3,6,7}:{(213,1),(215,1),(229,1)}
       225:{1,5,7}:{(214,1),(215,1),(221,1),(229,1)}
       226:{1,2,6}:{(217,1),(218,1),(219,1),(230,1)}
       227:{2,3,7}:{(218,1),(220,1),(222,1),(230,1)}
       228:{1,3,7}:{(219,1),(220,1),(221,1),(230,1)}
       229:{1,6,7}:{(224,1),(225,1)}
       230:{1,2,7}:{(226,1),(227,1),(228,1)}

 949 :   0:{2,3,4,5}:{(1,1),(2,1),(31,1),(74,1),(89,1)}
         1:{1,2,4,5}:{(0,1),(4,1),(5,1),(21,1),(58,1),(62,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(64,1)}
         3:{1,3,4,5}:{(8,1),(9,1),(11,1),(40,1),(137,1)}
         4:{1,3,5}:{(1,1),(11,1),(12,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(42,1)}
         6:{2,3,5,6}:{(2,1),(13,1),(15,1),(16,1),(44,1),(74,1),(139,1)}
         7:{2,3,4,7}:{(2,1),(14,1),(16,1),(94,1)}
         8:{1,2,4,5}:{(3,1),(17,1),(18,1),(21,1),(58,1),(103,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(19,1),(20,1),(105,1)}
        10:{1,2,3,5}:{(4,1),(17,1),(21,1),(22,1),(58,1)}
        11:{1,3,4}:{(4,1),(21,1)}
        12:{1,3,6}:{(4,1),(5,1),(25,1)}
        13:{1,2,5,6}:{(5,1),(6,1),(24,1),(27,1),(58,1),(117,1)}
        14:{1,2,4,7}:{(5,1),(7,1),(25,1),(27,1),(65,1)}
        15:{2,4,5,6}:{(6,1),(28,1),(29,1),(103,1),(173,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(27,1),(29,1),(30,1),(69,1)}
        17:{2,3,5}:{(8,1),(31,1),(32,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(32,1),(33,1),(34,1),(76,1)}
        19:{1,3,5,6}:{(9,1),(33,1),(35,1),(36,1),(40,1),(78,1),(91,1)}
        20:{1,3,4,7}:{(9,1),(34,1),(36,1),(142,1)}
        21:{1,2,4}:{(10,1),(11,1),(31,1)}
        22:{1,2,3,6}:{(10,1),(12,1),(32,1),(37,1),(39,1)}
        23:{1,3,4,6}:{(11,1),(12,1),(37,1),(40,1),(41,1),(42,1),(86,1),(91,1)}
        24:{1,3,5,6}:{(12,1),(13,1),(40,1),(42,1),(43,1),(44,1),(91,1),(163,1)}
        25:{1,3,7}:{(12,1),(14,1)}
        26:{1,2,4,5,6}:{(13,1),(15,1),(42,1),(44,1),(45,1),(47,1),(84,1),(93,1),(96,1),(154,1),(163,1),(217,1),(218,1)}
        27:{1,2,5,7}:{(13,1),(14,1),(16,1),(43,1),(46,1)}
        28:{3,4,5,6}:{(15,1),(44,1),(47,1),(48,1),(137,1),(201,1),(218,1)}
        29:{2,4,5,7}:{(15,1),(16,1),(48,1),(49,1)}
        30:{2,3,6,7}:{(16,1),(46,1),(49,1),(99,1),(139,1)}
        31:{2,3,4}:{(17,1),(21,1)}
        32:{2,3,6}:{(17,1),(18,1),(52,1)}
        33:{1,2,5,6}:{(18,1),(19,1),(51,1),(54,1),(58,1),(117,1)}
        34:{1,2,4,7}:{(18,1),(20,1),(52,1),(54,1),(106,1)}
        35:{1,4,5,6}:{(19,1),(55,1),(56,1),(62,1),(125,1)}
        36:{1,3,5,7}:{(19,1),(20,1),(54,1),(56,1),(57,1),(110,1)}
        37:{1,2,4,6}:{(21,1),(22,1),(23,1),(50,1),(58,1),(59,1),(117,1)}
        38:{1,2,3,5,6}:{(22,1),(24,1),(51,1),(58,1),(60,1),(61,1),(68,1),(108,1),(115,1),(117,1),(185,1),(188,1),(189,1),(190,1),(226,1)}
        39:{1,2,3,7}:{(22,1),(25,1),(52,1),(59,1)}
        40:{1,3,5}:{(23,1),(58,1),(62,1),(115,1)}
        41:{1,3,4,7}:{(23,1),(25,1),(59,1),(63,1),(65,1),(120,1)}
        42:{1,4,6}:{(24,1),(62,1),(64,1),(65,1)}
        43:{1,3,5,7}:{(24,1),(25,1),(27,1),(65,1),(66,1),(69,1),(130,1)}
        44:{3,5,6}:{(26,1),(64,1),(69,1),(115,1),(188,1)}
        45:{1,2,4,5,7}:{(26,1),(27,1),(29,1),(65,1),(69,1),(70,1),(71,1),(128,1),(130,1),(131,1),(197,1),(198,1)}
        46:{1,2,6,7}:{(27,1),(30,1),(66,1),(117,1)}
        47:{1,4,5,6}:{(28,1),(67,1),(71,1),(170,1),(220,1)}
        48:{3,4,5,7}:{(28,1),(29,1),(69,1),(71,1),(72,1),(198,1)}
        49:{2,4,6,7}:{(29,1),(30,1),(72,1),(73,1),(173,1)}
        50:{2,3,4,6}:{(31,1),(32,1),(37,1),(74,1),(75,1),(76,1),(86,1),(139,1)}
        51:{2,3,5,6}:{(32,1),(33,1),(74,1),(76,1),(77,1),(78,1),(139,1),(202,1)}
        52:{2,3,7}:{(32,1),(34,1)}
        53:{1,2,4,5,6}:{(33,1),(35,1),(76,1),(78,1),(79,1),(81,1),(84,1),(140,1),(144,1),(154,1),(202,1),(229,1),(230,1)}
        54:{1,2,5,7}:{(33,1),(34,1),(36,1),(77,1),(80,1)}
        55:{3,4,5,6}:{(35,1),(78,1),(81,1),(82,1),(89,1),(162,1),(230,1)}
        56:{1,4,5,7}:{(35,1),(36,1),(82,1),(83,1)}
        57:{1,3,6,7}:{(36,1),(80,1),(83,1),(91,1),(147,1)}
        58:{1,2,5}:{(37,1),(40,1),(74,1)}
        59:{1,2,4,7}:{(37,1),(39,1),(41,1),(75,1),(85,1)}
        60:{1,2,4,6}:{(38,1),(42,1),(76,1),(84,1),(86,1),(87,1),(93,1),(140,1)}
        61:{1,2,3,5,7}:{(38,1),(39,1),(43,1),(77,1),(85,1),(87,1),(88,1),(98,1),(145,1),(153,1),(159,1),(210,1),(214,1)}
        62:{1,4,5}:{(40,1),(42,1),(89,1)}
        63:{1,3,5,7}:{(40,1),(41,1),(85,1),(90,1),(91,1),(153,1)}
        64:{3,4,6}:{(42,1),(44,1),(89,1),(93,1),(94,1)}
        65:{1,4,7}:{(42,1),(43,1),(94,1)}
        66:{1,3,6,7}:{(43,1),(46,1),(91,1),(95,1),(99,1)}
        67:{1,3,5,6}:{(44,1),(47,1),(92,1),(96,1),(97,1),(151,1),(211,1)}
        68:{2,3,5,6}:{(44,1),(93,1),(96,1),(98,1),(152,1),(164,1),(212,1),(217,1)}
        69:{3,5,7}:{(44,1),(45,1),(94,1),(99,1)}
        70:{1,2,4,6,7}:{(45,1),(46,1),(49,1),(95,1),(99,1),(100,1),(101,1),(154,1),(166,1),(168,1),(169,1)}
        71:{1,4,5,7}:{(47,1),(48,1),(97,1),(101,1)}
        72:{3,4,6,7}:{(48,1),(49,1),(99,1),(101,1),(102,1),(169,1),(201,1)}
        73:{2,5,6,7}:{(49,1),(102,1),(202,1)}
        74:{2,3,5}:{(50,1),(58,1),(103,1),(115,1)}
        75:{2,3,4,7}:{(50,1),(52,1),(59,1),(104,1),(106,1),(120,1)}
        76:{2,4,6}:{(51,1),(103,1),(105,1),(106,1)}
        77:{2,3,5,7}:{(51,1),(52,1),(54,1),(106,1),(107,1),(110,1),(178,1)}
        78:{3,5,6}:{(53,1),(105,1),(110,1),(115,1),(188,1)}
        79:{1,2,4,5,7}:{(53,1),(54,1),(56,1),(106,1),(110,1),(111,1),(112,1),(175,1),(178,1),(179,1),(223,1),(224,1)}
        80:{1,2,6,7}:{(54,1),(57,1),(107,1),(117,1)}
        81:{2,4,5,6}:{(55,1),(109,1),(112,1),(123,1),(194,1)}
        82:{3,4,5,7}:{(55,1),(56,1),(110,1),(112,1),(113,1),(224,1)}
        83:{1,4,6,7}:{(56,1),(57,1),(113,1),(114,1),(125,1)}
        84:{1,2,4,5}:{(58,1),(60,1),(62,1),(103,1),(115,1),(123,1),(170,1),(185,1)}
        85:{1,2,5,7}:{(58,1),(59,1),(63,1),(104,1),(117,1)}
        86:{3,4,6}:{(60,1),(115,1),(120,1),(188,1)}
        87:{1,2,4,7}:{(60,1),(61,1),(65,1),(106,1),(120,1),(128,1),(175,1)}
        88:{1,2,3,6,7}:{(61,1),(66,1),(107,1),(117,1),(121,1),(133,1),(180,1),(188,1),(226,1)}
        89:{3,4,5}:{(62,1),(64,1),(115,1),(123,1)}
        90:{1,4,5,7}:{(62,1),(63,1),(65,1),(124,1),(125,1),(130,1)}
        91:{1,3,6}:{(63,1),(117,1),(125,1),(188,1)}
        92:{1,3,4,6}:{(64,1),(67,1),(122,1),(126,1),(127,1)}
        93:{2,4,6}:{(64,1),(68,1),(123,1),(128,1)}
        94:{3,4,7}:{(64,1),(65,1),(69,1),(128,1)}
        95:{1,4,6,7}:{(65,1),(66,1),(125,1),(129,1),(130,1)}
        96:{1,2,5,6}:{(67,1),(68,1),(126,1),(131,1),(185,1),(226,1)}
        97:{1,3,5,7}:{(67,1),(69,1),(71,1),(127,1),(131,1),(132,1)}
        98:{2,3,5,7}:{(68,1),(69,1),(128,1),(131,1),(133,1),(196,1),(197,1)}
        99:{3,6,7}:{(69,1),(70,1),(188,1)}
       100:{1,2,5,6,7}:{(70,1),(73,1),(130,1),(134,1),(135,1),(189,1),(197,1)}
       101:{1,4,6,7}:{(71,1),(72,1),(132,1),(135,1),(220,1)}
       102:{3,5,6,7}:{(72,1),(73,1),(135,1),(136,1),(221,1)}
       103:{2,4,5}:{(74,1),(76,1),(137,1)}
       104:{2,3,5,7}:{(74,1),(75,1),(85,1),(138,1),(139,1),(153,1)}
       105:{3,4,6}:{(76,1),(78,1),(137,1),(140,1),(142,1)}
       106:{2,4,7}:{(76,1),(77,1),(142,1)}
       107:{2,3,6,7}:{(77,1),(80,1),(139,1),(143,1),(147,1)}
       108:{1,3,5,6}:{(78,1),(140,1),(144,1),(145,1),(151,1),(203,1),(211,1),(229,1)}
       109:{2,3,5,6}:{(78,1),(81,1),(141,1),(144,1),(146,1),(152,1),(212,1)}
       110:{3,5,7}:{(78,1),(79,1),(142,1),(147,1)}
       111:{1,2,4,6,7}:{(79,1),(80,1),(83,1),(143,1),(147,1),(148,1),(149,1),(154,1),(205,1),(207,1),(208,1)}
       112:{2,4,5,7}:{(81,1),(82,1),(146,1),(149,1)}
       113:{3,4,6,7}:{(82,1),(83,1),(147,1),(149,1),(150,1),(162,1),(208,1)}
       114:{1,5,6,7}:{(83,1),(150,1),(163,1)}
       115:{3,5}:{(84,1),(86,1)}
       116:{1,2,4,5,7}:{(84,1),(85,1),(87,1),(90,1),(138,1),(153,1),(154,1),(159,1),(161,1),(200,1),(210,1),(215,1)}
       117:{1,2,6}:{(85,1),(91,1),(139,1)}
       118:{1,3,4,6}:{(86,1),(140,1),(151,1),(155,1),(156,1),(203,1),(211,1),(228,1)}
       119:{2,3,4,6}:{(86,1),(93,1),(152,1),(155,1),(157,1),(164,1),(212,1),(216,1)}
       120:{3,4,7}:{(86,1),(87,1),(153,1)}
       121:{1,2,4,6,7}:{(87,1),(88,1),(95,1),(143,1),(154,1),(158,1),(159,1),(166,1),(205,1)}
       122:{1,3,4,5}:{(89,1),(92,1),(151,1),(160,1),(228,1)}
       123:{2,4,5}:{(89,1),(93,1),(152,1)}
       124:{3,4,5,7}:{(89,1),(90,1),(94,1),(153,1),(161,1),(162,1),(167,1),(215,1)}
       125:{1,4,6}:{(90,1),(91,1),(162,1),(163,1)}
       126:{1,2,4,6}:{(92,1),(93,1),(96,1),(160,1),(164,1),(165,1)}
       127:{1,3,4,7}:{(92,1),(94,1),(97,1),(165,1)}
       128:{2,4,7}:{(93,1),(94,1),(98,1)}
       129:{3,4,6,7}:{(94,1),(95,1),(99,1),(162,1),(166,1),(167,1),(169,1)}
       130:{1,5,7}:{(95,1),(163,1),(167,1)}
       131:{1,2,5,7}:{(96,1),(97,1),(98,1),(165,1),(168,1)}
       132:{1,3,6,7}:{(97,1),(99,1),(101,1),(168,1),(211,1)}
       133:{2,3,6,7}:{(98,1),(99,1),(166,1),(168,1),(212,1)}
       134:{3,5,6,7}:{(99,1),(100,1),(167,1),(169,1),(213,1)}
       135:{1,5,6,7}:{(101,1),(102,1),(229,1)}
       136:{4,5,6,7}:{(102,1),(169,1),(230,1)}
       137:{3,4,5}:{(103,1),(105,1),(115,1),(170,1)}
       138:{2,4,5,7}:{(103,1),(104,1),(106,1),(172,1),(173,1),(178,1)}
       139:{2,3,6}:{(104,1),(117,1),(173,1),(188,1)}
       140:{1,4,6}:{(105,1),(108,1),(170,1),(175,1)}
       141:{2,3,4,6}:{(105,1),(109,1),(171,1),(174,1),(176,1)}
       142:{3,4,7}:{(105,1),(106,1),(110,1),(175,1)}
       143:{2,4,6,7}:{(106,1),(107,1),(173,1),(177,1),(178,1)}
       144:{1,2,5,6}:{(108,1),(109,1),(174,1),(179,1),(185,1),(226,1)}
       145:{1,3,5,7}:{(108,1),(110,1),(175,1),(179,1),(180,1),(222,1),(223,1)}
       146:{2,3,5,7}:{(109,1),(110,1),(112,1),(176,1),(179,1),(181,1)}
       147:{3,6,7}:{(110,1),(111,1),(188,1)}
       148:{1,2,5,6,7}:{(111,1),(114,1),(178,1),(182,1),(183,1),(189,1),(223,1)}
       149:{2,4,6,7}:{(112,1),(113,1),(181,1),(183,1),(194,1)}
       150:{3,5,6,7}:{(113,1),(114,1),(183,1),(184,1),(195,1)}
       151:{1,3,5}:{(115,1),(118,1),(170,1),(185,1)}
       152:{2,3,5}:{(115,1),(119,1),(123,1),(185,1)}
       153:{3,5,7}:{(115,1),(116,1),(120,1),(188,1)}
       154:{1,2,4,6}:{(116,1),(117,1),(125,1),(173,1),(188,1),(189,1),(194,1),(220,1),(226,1),(227,1)}
       155:{1,2,4,6}:{(118,1),(119,1),(185,1),(190,1),(191,1),(225,1),(226,1)}
       156:{1,3,4,7}:{(118,1),(120,1),(175,1),(186,1),(191,1),(222,1)}
       157:{2,3,4,7}:{(119,1),(120,1),(128,1),(187,1),(191,1),(196,1)}
       158:{3,4,6,7}:{(120,1),(121,1),(188,1),(192,1),(227,1)}
       159:{1,2,5,7}:{(121,1),(130,1),(178,1),(189,1),(192,1),(197,1),(223,1)}
       160:{1,2,4,5}:{(122,1),(123,1),(126,1),(185,1),(193,1),(225,1)}
       161:{2,4,5,7}:{(123,1),(124,1),(128,1),(187,1),(194,1),(197,1)}
       162:{3,4,6}:{(124,1),(125,1),(188,1),(194,1),(195,1),(227,1)}
       163:{1,5,6}:{(125,1),(130,1),(195,1)}
       164:{2,3,6}:{(126,1),(193,1),(196,1)}
       165:{1,2,4,7}:{(126,1),(127,1),(128,1),(131,1),(196,1)}
       166:{2,4,6,7}:{(128,1),(129,1),(133,1),(194,1),(197,1)}
       167:{3,5,7}:{(129,1),(130,1),(195,1),(197,1),(198,1)}
       168:{1,2,6,7}:{(131,1),(132,1),(133,1),(226,1)}
       169:{4,6,7}:{(134,1),(198,1),(227,1)}
       170:{1,4,5}:{(137,1),(140,1),(151,1)}
       171:{2,3,4,5}:{(137,1),(141,1),(152,1),(199,1),(216,1)}
       172:{3,4,5,7}:{(137,1),(138,1),(142,1),(153,1),(200,1),(201,1),(206,1),(215,1)}
       173:{2,4,6}:{(138,1),(139,1),(201,1),(202,1)}
       174:{1,2,4,6}:{(140,1),(141,1),(144,1),(199,1),(203,1),(204,1)}
       175:{1,4,7}:{(140,1),(142,1),(145,1)}
       176:{2,3,4,7}:{(141,1),(142,1),(146,1),(204,1)}
       177:{3,4,6,7}:{(142,1),(143,1),(147,1),(201,1),(205,1),(206,1),(208,1)}
       178:{2,5,7}:{(143,1),(202,1),(206,1)}
       179:{1,2,5,7}:{(144,1),(145,1),(146,1),(204,1),(207,1)}
       180:{1,3,6,7}:{(145,1),(147,1),(205,1),(207,1),(211,1)}
       181:{2,3,6,7}:{(146,1),(147,1),(149,1),(207,1),(212,1)}
       182:{3,5,6,7}:{(147,1),(148,1),(206,1),(208,1),(213,1)}
       183:{2,5,6,7}:{(149,1),(150,1),(217,1)}
       184:{4,5,6,7}:{(150,1),(208,1),(218,1)}
       185:{1,2,5}:{(151,1),(152,1),(155,1)}
       186:{1,3,5,7}:{(151,1),(153,1),(156,1),(200,1),(210,1),(211,1)}
       187:{2,3,5,7}:{(152,1),(153,1),(157,1),(161,1),(210,1),(212,1)}
       188:{3,6}:{(153,1),(154,1)}
       189:{1,2,5,6}:{(154,1),(159,1),(163,1),(202,1),(213,1),(217,1),(229,1)}
       190:{1,2,3,6}:{(155,1),(164,1),(203,1),(209,1),(214,1)}
       191:{1,2,4,7}:{(155,1),(156,1),(157,1),(210,1),(214,1)}
       192:{3,5,7}:{(158,1),(159,1),(213,1),(215,1)}
       193:{2,3,5}:{(160,1),(164,1),(216,1)}
       194:{2,4,6}:{(161,1),(162,1),(212,1),(217,1)}
       195:{3,5,6}:{(162,1),(163,1),(167,1),(217,1),(218,1)}
       196:{2,3,7}:{(164,1),(165,1)}
       197:{2,5,7}:{(166,1),(167,1),(217,1)}
       198:{4,5,7}:{(167,1),(169,1),(218,1)}
       199:{1,2,4,5}:{(170,1),(171,1),(174,1),(185,1),(219,1),(225,1)}
       200:{1,4,5,7}:{(170,1),(172,1),(175,1),(186,1),(220,1),(223,1)}
       201:{3,4,6}:{(172,1),(173,1),(188,1),(220,1),(221,1),(227,1)}
       202:{2,5,6}:{(173,1),(178,1),(221,1)}
       203:{1,3,6}:{(174,1),(219,1),(222,1)}
       204:{1,2,4,7}:{(174,1),(175,1),(176,1),(179,1),(222,1)}
       205:{1,4,6,7}:{(175,1),(177,1),(180,1),(220,1),(223,1)}
       206:{3,5,7}:{(177,1),(178,1),(221,1),(223,1),(224,1)}
       207:{1,2,6,7}:{(179,1),(180,1),(181,1),(226,1)}
       208:{4,6,7}:{(182,1),(224,1),(227,1)}
       209:{1,2,3,5}:{(185,1),(190,1),(193,1),(219,1),(225,1)}
       210:{1,2,5,7}:{(185,1),(186,1),(187,1),(191,1),(226,1)}
       211:{1,3,6}:{(186,1),(188,1),(220,1),(226,1)}
       212:{2,3,6}:{(187,1),(188,1),(194,1),(226,1)}
       213:{3,5,6}:{(188,1),(189,1),(192,1),(227,1)}
       214:{1,2,3,7}:{(190,1),(191,1),(196,1),(222,1)}
       215:{4,5,7}:{(192,1),(227,1)}
       216:{2,3,4}:{(193,1),(225,1)}
       217:{2,5,6}:{(194,1),(195,1),(197,1)}
       218:{4,5,6}:{(195,1),(198,1),(227,1)}
       219:{1,3,5}:{(199,1),(203,1),(228,1)}
       220:{1,4,6}:{(200,1),(201,1),(211,1),(229,1)}
       221:{3,5,6}:{(201,1),(202,1),(206,1),(229,1),(230,1)}
       222:{1,3,7}:{(203,1),(204,1)}
       223:{1,5,7}:{(205,1),(206,1),(229,1)}
       224:{4,5,7}:{(206,1),(208,1),(230,1)}
       225:{1,2,4}:{(209,1),(216,1),(228,1)}
       226:{1,2,6}:{(210,1),(211,1),(212,1)}
       227:{4,6}:{(213,1),(215,1)}
       228:{1,3,4}:{(219,1),(225,1)}
       229:{1,5,6}:{(220,1),(221,1),(223,1)}
       230:{4,5,6}:{(221,1),(224,1),(227,1)}

 950 :   0:{2,3,4,6}:{(4,1),(5,1),(6,1),(10,1),(39,1),(40,1),(43,1),(75,1),(124,1)}
         1:{1,3,5,6}:{(7,1),(8,1),(9,1),(31,1),(35,1),(40,1),(77,1),(83,1),(84,1),(125,1),(129,1)}
         2:{2,3,5,6}:{(5,1),(7,1),(10,1),(11,1),(12,1),(39,1),(40,1),(87,1),(129,1)}
         3:{2,4,5,6}:{(10,1),(12,1),(13,1),(87,1),(133,1)}
         4:{1,2,4,6}:{(0,1),(14,1),(15,1),(16,1),(52,1),(56,1),(102,1)}
         5:{2,3,5}:{(0,1),(15,1),(18,1),(54,1),(57,1),(145,1)}
         6:{2,3,4,7}:{(0,1),(16,1),(19,1),(26,1),(65,1),(67,1),(101,1),(206,1)}
         7:{1,2,5,6}:{(1,1),(2,1),(15,1),(20,1),(21,1),(28,1),(56,1),(57,1),(108,1)}
         8:{1,4,6}:{(1,1),(17,1),(22,1),(23,1),(52,1),(149,1)}
         9:{1,3,5,7}:{(1,1),(21,1),(23,1),(24,1),(58,1),(65,1),(69,1),(115,1)}
        10:{2,4,6}:{(2,1),(18,1),(25,1),(26,1),(149,1)}
        11:{2,3,5,7}:{(2,1),(21,1),(26,1),(27,1),(29,1),(65,1),(72,1),(115,1)}
        12:{3,5,6}:{(3,1),(25,1),(28,1),(29,1)}
        13:{2,4,5,7}:{(3,1),(26,1),(29,1),(30,1),(72,1),(119,1)}
        14:{1,3,6}:{(4,1),(31,1),(32,1),(40,1)}
        15:{1,2,5}:{(4,1),(5,1),(31,1),(125,1)}
        16:{1,2,4,7}:{(4,1),(6,1),(32,1),(34,1),(76,1),(208,1)}
        17:{1,4,5}:{(8,1),(35,1),(125,1),(162,1)}
        18:{2,4,5}:{(5,1),(10,1),(37,1),(162,1)}
        19:{2,3,5,7}:{(5,1),(6,1),(34,1),(38,1),(39,1),(80,1),(82,1),(193,1),(203,1)}
        20:{1,2,4,6}:{(7,1),(8,1),(10,1),(33,1),(40,1),(41,1),(43,1),(46,1),(88,1)}
        21:{1,2,5,7}:{(7,1),(9,1),(11,1),(41,1),(42,1),(49,1),(82,1)}
        22:{3,4,6}:{(8,1),(35,1),(40,1),(43,1),(44,1),(75,1),(83,1)}
        23:{1,4,7}:{(8,1),(9,1),(44,1),(137,1)}
        24:{1,3,6,7}:{(9,1),(42,1),(45,1),(77,1),(83,1),(91,1),(192,1)}
        25:{3,4,6}:{(10,1),(12,1),(37,1),(40,1),(46,1),(47,1)}
        26:{2,4,7}:{(10,1),(11,1),(47,1),(137,1)}
        27:{2,3,6,7}:{(11,1),(39,1),(42,1),(48,1),(50,1),(91,1),(193,1)}
        28:{1,5,6}:{(12,1),(46,1),(49,1)}
        29:{3,5,7}:{(12,1),(13,1),(47,1),(49,1),(50,1)}
        30:{2,4,6,7}:{(13,1),(50,1),(51,1),(98,1)}
        31:{1,3,5}:{(14,1),(15,1),(52,1),(54,1)}
        32:{1,3,7}:{(14,1),(16,1),(65,1),(209,1)}
        33:{1,2,4,5}:{(15,1),(17,1),(18,1),(20,1),(52,1),(54,1),(57,1),(60,1),(100,1),(103,1)}
        34:{1,2,5,7}:{(15,1),(16,1),(19,1),(53,1),(56,1),(200,1),(207,1)}
        35:{3,5}:{(17,1),(22,1),(57,1)}
        36:{1,4,5,7}:{(17,1),(23,1),(58,1),(59,1),(69,1),(117,1)}
        37:{3,4,5}:{(18,1),(25,1),(54,1),(60,1)}
        38:{2,4,5,7}:{(18,1),(19,1),(26,1),(61,1),(62,1),(72,1),(183,1),(196,1)}
        39:{2,3,6}:{(19,1),(56,1),(62,1),(106,1),(108,1)}
        40:{3,6}:{(20,1),(54,1),(65,1)}
        41:{1,2,4,7}:{(20,1),(21,1),(23,1),(26,1),(65,1),(67,1),(70,1),(112,1)}
        42:{1,2,6,7}:{(21,1),(24,1),(27,1),(56,1),(73,1),(108,1),(200,1)}
        43:{2,4,6}:{(22,1),(57,1),(64,1),(67,1),(100,1),(108,1)}
        44:{3,4,7}:{(22,1),(23,1),(58,1),(65,1),(67,1)}
        45:{1,4,6,7}:{(23,1),(24,1),(59,1),(68,1),(69,1),(102,1),(180,1),(184,1)}
        46:{1,4,6}:{(25,1),(28,1),(60,1),(63,1),(70,1)}
        47:{3,4,7}:{(25,1),(26,1),(29,1),(65,1),(70,1)}
        48:{2,4,6,7}:{(26,1),(27,1),(62,1),(71,1),(72,1),(157,1),(183,1)}
        49:{1,5,7}:{(28,1),(29,1),(70,1),(73,1)}
        50:{3,6,7}:{(29,1),(30,1),(73,1)}
        51:{2,5,6,7}:{(30,1),(72,1),(74,1),(157,1)}
        52:{1,4}:{(31,1),(75,1)}
        53:{1,3,5,7}:{(31,1),(32,1),(34,1),(76,1),(77,1),(80,1),(125,1),(171,1),(192,1),(202,1)}
        54:{3,5}:{(33,1),(40,1),(75,1)}
        55:{1,2,4,5,7}:{(33,1),(34,1),(36,1),(38,1),(41,1),(76,1),(80,1),(81,1),(82,1),(85,1),(92,1),(123,1),(125,1),(126,1),(137,1),(138,1),(161,1),(162,1),(168,1),(171,1),(186,1)}
        56:{1,2,6}:{(34,1),(39,1),(77,1)}
        57:{2,5}:{(35,1),(43,1)}
        58:{3,5,7}:{(35,1),(36,1),(44,1),(82,1),(83,1)}
        59:{1,4,6}:{(36,1),(83,1),(84,1),(131,1)}
        60:{1,4,5}:{(37,1),(46,1),(78,1)}
        61:{3,4,5,7}:{(37,1),(38,1),(47,1),(80,1),(85,1),(86,1),(96,1),(137,1),(162,1),(169,1),(187,1)}
        62:{2,4,6}:{(38,1),(39,1),(86,1),(87,1)}
        63:{1,3,6}:{(40,1),(46,1),(78,1),(88,1),(89,1)}
        64:{2,3,6}:{(40,1),(43,1),(79,1),(88,1),(90,1)}
        65:{3,7}:{(40,1),(41,1)}
        66:{1,2,4,6,7}:{(41,1),(42,1),(45,1),(48,1),(81,1),(91,1),(92,1),(93,1),(95,1),(134,1),(137,1),(168,1)}
        67:{2,4,7}:{(43,1),(44,1),(82,1),(90,1)}
        68:{3,4,6,7}:{(44,1),(45,1),(83,1),(91,1),(93,1),(94,1),(124,1),(131,1),(137,1),(166,1),(170,1)}
        69:{1,5,7}:{(45,1),(84,1),(94,1),(125,1)}
        70:{1,4,7}:{(46,1),(47,1),(49,1),(89,1)}
        71:{3,4,6,7}:{(47,1),(48,1),(50,1),(86,1),(91,1),(95,1),(96,1),(98,1),(137,1),(140,1),(169,1)}
        72:{2,5,7}:{(48,1),(87,1),(96,1)}
        73:{1,6,7}:{(49,1),(50,1)}
        74:{3,5,6,7}:{(50,1),(51,1),(96,1),(97,1),(98,1),(140,1)}
        75:{3,4}:{(52,1),(54,1),(100,1)}
        76:{1,4,7}:{(52,1),(53,1),(101,1),(102,1),(205,1)}
        77:{1,3,6}:{(53,1),(56,1),(102,1),(106,1),(180,1)}
        78:{1,3,5}:{(54,1),(60,1),(63,1),(99,1),(103,1)}
        79:{2,3,5}:{(54,1),(57,1),(64,1),(100,1),(103,1),(141,1)}
        80:{3,5,7}:{(54,1),(55,1),(65,1),(101,1),(106,1),(145,1),(182,1),(195,1)}
        81:{1,2,4,6}:{(55,1),(56,1),(59,1),(62,1),(102,1),(106,1),(107,1),(108,1),(110,1),(144,1),(146,1),(149,1),(150,1),(180,1)}
        82:{2,5,7}:{(57,1),(58,1),(67,1),(108,1)}
        83:{3,6}:{(58,1),(59,1),(108,1)}
        84:{1,5,6}:{(59,1),(69,1),(109,1),(180,1)}
        85:{1,4,5,7}:{(60,1),(61,1),(70,1),(104,1),(110,1),(118,1),(153,1),(175,1)}
        86:{3,4,6}:{(61,1),(62,1),(106,1),(110,1),(111,1),(149,1)}
        87:{2,5,6}:{(62,1),(72,1),(111,1)}
        88:{1,2,6}:{(63,1),(64,1),(103,1),(112,1)}
        89:{1,3,7}:{(63,1),(65,1),(70,1),(112,1)}
        90:{2,3,7}:{(64,1),(65,1),(67,1),(112,1)}
        91:{3,6,7}:{(65,1),(66,1),(106,1),(115,1),(182,1)}
        92:{1,2,5,7}:{(66,1),(69,1),(72,1),(107,1),(115,1),(116,1),(118,1)}
        93:{2,4,6,7}:{(67,1),(68,1),(108,1),(114,1),(116,1),(144,1),(150,1),(154,1)}
        94:{3,5,7}:{(68,1),(69,1),(109,1),(116,1),(117,1),(145,1)}
        95:{1,4,6,7}:{(70,1),(71,1),(73,1),(110,1),(113,1),(118,1),(153,1)}
        96:{3,5,7}:{(71,1),(72,1),(111,1),(118,1),(119,1)}
        97:{1,5,6,7}:{(73,1),(74,1),(118,1),(120,1)}
        98:{4,6,7}:{(74,1),(119,1)}
        99:{1,3,4}:{(75,1),(78,1),(121,1)}
       100:{2,4}:{(75,1),(79,1)}
       101:{3,4,7}:{(75,1),(76,1),(80,1),(123,1),(124,1),(137,1),(201,1)}
       102:{1,4,6}:{(76,1),(77,1),(124,1),(125,1)}
       103:{1,2,5}:{(78,1),(79,1),(88,1),(121,1)}
       104:{1,3,5,7}:{(78,1),(80,1),(85,1),(89,1),(122,1),(126,1),(127,1),(160,1),(171,1)}
       105:{2,3,5,7}:{(79,1),(80,1),(82,1),(90,1),(123,1),(126,1),(128,1),(158,1),(161,1),(185,1)}
       106:{3,6}:{(80,1),(81,1)}
       107:{1,2,5,6}:{(81,1),(84,1),(87,1),(92,1),(125,1),(129,1),(130,1),(132,1),(161,1)}
       108:{2,6}:{(82,1),(83,1)}
       109:{3,5,6}:{(83,1),(84,1),(94,1),(130,1),(131,1),(166,1)}
       110:{1,4,6}:{(85,1),(86,1),(127,1),(132,1)}
       111:{3,5,6}:{(86,1),(87,1),(96,1),(132,1),(133,1)}
       112:{1,2,7}:{(88,1),(89,1),(90,1)}
       113:{1,3,6,7}:{(89,1),(91,1),(95,1),(127,1),(134,1),(135,1),(140,1)}
       114:{2,3,6,7}:{(90,1),(91,1),(93,1),(128,1),(134,1),(136,1),(166,1)}
       115:{3,5,7}:{(91,1),(92,1),(129,1),(137,1)}
       116:{2,5,7}:{(93,1),(94,1),(130,1),(161,1)}
       117:{4,5,7}:{(94,1),(131,1),(137,1),(162,1)}
       118:{1,5,7}:{(95,1),(96,1),(132,1)}
       119:{4,5,7}:{(96,1),(98,1),(133,1),(137,1)}
       120:{1,4,6,7}:{(97,1),(98,1),(139,1),(140,1)}
       121:{1,2,4}:{(99,1),(100,1),(103,1),(141,1)}
       122:{1,3,4,7}:{(99,1),(101,1),(104,1),(142,1),(143,1),(153,1),(182,1),(184,1)}
       123:{2,4,7}:{(100,1),(101,1),(105,1),(144,1),(194,1)}
       124:{3,4,6}:{(101,1),(102,1),(106,1),(144,1),(145,1),(149,1)}
       125:{1,5}:{(102,1),(145,1)}
       126:{1,2,5,7}:{(103,1),(104,1),(105,1),(112,1),(142,1),(146,1),(174,1)}
       127:{1,3,6}:{(104,1),(106,1),(110,1),(146,1),(180,1)}
       128:{2,3,6}:{(105,1),(106,1),(108,1),(144,1),(146,1)}
       129:{3,5,6}:{(106,1),(107,1),(115,1),(145,1),(149,1)}
       130:{2,5,6}:{(108,1),(109,1),(116,1),(150,1)}
       131:{4,6}:{(109,1),(117,1)}
       132:{1,5,6}:{(110,1),(111,1),(118,1)}
       133:{4,5,6}:{(111,1),(119,1),(149,1)}
       134:{1,2,6,7}:{(112,1),(113,1),(114,1),(146,1),(152,1),(157,1),(180,1)}
       135:{1,3,5,7}:{(113,1),(115,1),(118,1),(147,1),(152,1),(153,1),(156,1),(182,1)}
       136:{2,3,5,7}:{(114,1),(115,1),(116,1),(148,1),(152,1),(154,1),(155,1),(182,1)}
       137:{4,7}:{(115,1),(149,1)}
       138:{2,4,5,7}:{(116,1),(117,1),(150,1),(154,1),(155,1),(176,1)}
       139:{1,4,5,7}:{(118,1),(119,1),(120,1),(151,1),(153,1),(156,1)}
       140:{3,6,7}:{(120,1),(156,1),(157,1)}
       141:{2,3}:{(121,1)}
       142:{1,2,4,7}:{(121,1),(122,1),(123,1),(126,1),(158,1),(159,1)}
       143:{1,3,4,6}:{(122,1),(124,1),(127,1),(159,1),(160,1),(164,1),(189,1),(191,1),(201,1)}
       144:{2,4,6}:{(123,1),(124,1),(128,1),(161,1)}
       145:{3,5}:{(124,1),(125,1),(161,1),(162,1)}
       146:{1,2,6}:{(126,1),(127,1),(128,1)}
       147:{1,3,5,6}:{(127,1),(129,1),(132,1),(135,1),(160,1),(163,1),(164,1),(167,1),(189,1)}
       148:{2,3,5,6}:{(128,1),(129,1),(130,1),(136,1),(161,1),(163,1),(165,1),(166,1),(185,1),(188,1),(189,1)}
       149:{4,6}:{(129,1),(137,1),(162,1)}
       150:{2,4,6}:{(130,1),(131,1),(138,1),(166,1)}
       151:{1,4,5,6}:{(132,1),(133,1),(139,1),(164,1),(167,1)}
       152:{1,2,5,7}:{(134,1),(135,1),(136,1),(163,1),(168,1),(171,1),(172,1)}
       153:{1,4,7}:{(135,1),(137,1),(164,1),(169,1)}
       154:{2,4,7}:{(136,1),(137,1),(165,1),(170,1)}
       155:{3,5,7}:{(138,1),(166,1),(170,1),(171,1),(188,1)}
       156:{3,5,7}:{(139,1),(140,1),(167,1),(169,1),(172,1)}
       157:{2,6,7}:{(140,1),(172,1)}
       158:{2,3,7}:{(141,1),(142,1),(173,1),(182,1)}
       159:{1,2,4,6}:{(142,1),(143,1),(144,1),(146,1),(173,1),(174,1),(194,1)}
       160:{1,3,5}:{(143,1),(145,1),(174,1),(175,1),(195,1),(197,1)}
       161:{2,5}:{(144,1),(145,1)}
       162:{4,5}:{(145,1),(149,1)}
       163:{1,2,5,6}:{(146,1),(147,1),(148,1),(152,1),(174,1),(177,1),(180,1),(181,1),(197,1)}
       164:{1,4,6}:{(147,1),(149,1),(153,1),(175,1),(178,1)}
       165:{2,4,6}:{(148,1),(149,1),(154,1),(176,1),(179,1),(194,1)}
       166:{3,6}:{(150,1),(155,1),(180,1)}
       167:{3,5,6}:{(151,1),(156,1),(178,1),(181,1)}
       168:{1,2,4,7}:{(152,1),(153,1),(154,1),(177,1),(182,1),(183,1),(184,1),(200,1)}
       169:{3,4,7}:{(153,1),(156,1),(178,1),(182,1),(183,1)}
       170:{3,4,7}:{(154,1),(155,1),(179,1),(182,1),(184,1)}
       171:{1,5,7}:{(155,1),(180,1),(184,1),(197,1)}
       172:{2,5,7}:{(156,1),(157,1),(181,1),(183,1)}
       173:{2,3,6}:{(158,1),(159,1),(185,1),(189,1)}
       174:{1,2,5}:{(159,1),(160,1),(161,1),(185,1)}
       175:{1,4,5}:{(160,1),(162,1),(164,1),(187,1)}
       176:{2,4,5}:{(161,1),(162,1),(165,1),(188,1)}
       177:{1,2,4,6}:{(163,1),(164,1),(165,1),(168,1),(186,1),(189,1),(190,1),(191,1),(204,1)}
       178:{3,4,6}:{(164,1),(167,1),(169,1),(187,1),(189,1),(190,1)}
       179:{3,4,6}:{(165,1),(166,1),(170,1),(188,1),(189,1),(191,1),(201,1)}
       180:{1,6}:{(166,1),(171,1)}
       181:{2,5,6}:{(167,1),(172,1),(190,1)}
       182:{3,7}:{(168,1),(189,1)}
       183:{2,4,7}:{(169,1),(172,1),(190,1),(193,1)}
       184:{1,4,7}:{(170,1),(171,1),(191,1),(192,1)}
       185:{2,3,5}:{(173,1),(174,1),(194,1),(195,1)}
       186:{1,2,4,5}:{(174,1),(175,1),(176,1),(177,1),(194,1),(195,1),(196,1),(197,1),(205,1),(207,1)}
       187:{3,4,5}:{(175,1),(178,1),(195,1),(196,1)}
       188:{3,5}:{(176,1),(179,1),(197,1)}
       189:{3,6}:{(177,1),(182,1),(195,1)}
       190:{2,4,6}:{(178,1),(181,1),(183,1),(196,1),(199,1)}
       191:{1,4,6}:{(179,1),(180,1),(184,1),(197,1),(198,1),(205,1)}
       192:{1,3,7}:{(182,1),(184,1),(198,1),(200,1)}
       193:{2,3,7}:{(182,1),(183,1),(199,1),(200,1)}
       194:{2,4}:{(185,1),(201,1)}
       195:{3,5}:{(186,1),(189,1),(201,1)}
       196:{2,4,5}:{(187,1),(190,1),(203,1)}
       197:{1,5}:{(188,1),(191,1)}
       198:{1,3,6}:{(189,1),(191,1),(192,1),(202,1),(204,1)}
       199:{2,3,6}:{(189,1),(190,1),(193,1),(203,1),(204,1)}
       200:{1,2,7}:{(192,1),(193,1),(204,1)}
       201:{3,4}:{(194,1),(195,1),(205,1)}
       202:{1,3,5}:{(195,1),(197,1),(198,1),(205,1),(207,1),(209,1)}
       203:{2,3,5}:{(195,1),(196,1),(199,1),(206,1),(207,1)}
       204:{1,2,6}:{(198,1),(199,1),(200,1),(207,1)}
       205:{1,4}:{(201,1),(202,1)}
       206:{2,3,4}:{(201,1),(203,1),(208,1)}
       207:{1,2,5}:{(202,1),(203,1),(204,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{1,3}:{(208,1)}

 951 :   0:{1,2,4,5,6}:{(2,1),(3,1),(17,1),(18,1),(22,1),(40,1),(44,1),(76,1),(77,1),(78,1),(98,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(5,1),(7,1),(69,1),(70,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(31,1),(33,1),(34,1),(38,1),(69,1),(70,1)}
         3:{3,5,6}:{(0,1),(6,1),(8,1),(63,1),(90,1),(102,1)}
         4:{2,3,4,6}:{(12,1),(13,1),(14,1),(18,1),(45,1),(55,1),(80,1),(97,1)}
         5:{3,5,6,7}:{(1,1),(15,1),(19,1),(51,1),(96,1)}
         6:{3,4,6}:{(3,1),(11,1),(16,1),(17,1),(18,1),(55,1),(80,1)}
         7:{1,2,4,6,7}:{(1,1),(2,1),(15,1),(19,1),(52,1),(53,1),(56,1),(78,1)}
         8:{3,5,7}:{(2,1),(3,1),(16,1),(19,1)}
         9:{1,3,5,6}:{(3,1),(17,1),(20,1),(22,1),(39,1),(47,1),(55,1),(73,1),(76,1),(81,1),(96,1),(98,1)}
        10:{2,3,5,6}:{(3,1),(12,1),(18,1),(21,1),(22,1),(45,1),(55,1),(75,1),(77,1),(94,1),(96,1),(103,1)}
        11:{3,4,5}:{(6,1),(24,1),(25,1),(63,1),(102,1)}
        12:{2,3,5}:{(4,1),(25,1),(27,1),(63,1),(102,1)}
        13:{2,3,4,7}:{(4,1),(26,1),(28,1),(34,1),(72,1),(91,1)}
        14:{1,2,4,6}:{(4,1),(27,1),(28,1),(29,1),(64,1),(66,1),(92,1)}
        15:{4,6,7}:{(5,1),(31,1),(101,1)}
        16:{3,4,7}:{(6,1),(8,1),(33,1),(34,1),(72,1)}
        17:{1,4,6}:{(6,1),(9,1),(24,1),(33,1),(66,1),(101,1)}
        18:{2,4,6}:{(6,1),(10,1),(25,1),(34,1),(88,1),(101,1)}
        19:{3,6,7}:{(7,1),(8,1),(90,1)}
        20:{1,3,5,7}:{(8,1),(9,1),(33,1),(36,1),(38,1),(69,1),(72,1),(93,1)}
        21:{2,3,5,7}:{(8,1),(10,1),(34,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        22:{1,2,5,6}:{(9,1),(10,1),(27,1),(35,1),(38,1),(58,1),(64,1),(86,1)}
        23:{3,4,5,7}:{(11,1),(16,1),(41,1),(42,1),(43,1),(51,1),(79,1),(99,1),(104,1)}
        24:{1,4,5}:{(11,1),(17,1),(39,1),(98,1),(104,1)}
        25:{2,4,5}:{(11,1),(12,1),(18,1),(103,1),(104,1)}
        26:{2,3,5,7}:{(12,1),(13,1),(43,1),(45,1),(46,1),(79,1)}
        27:{1,2,5}:{(12,1),(14,1),(47,1),(98,1)}
        28:{1,2,4,7}:{(13,1),(14,1),(46,1),(48,1),(82,1)}
        29:{1,3,6}:{(14,1),(47,1),(48,1),(55,1)}
        30:{1,3,4,6}:{(17,1),(39,1),(49,1),(50,1),(55,1),(73,1),(80,1),(97,1)}
        31:{4,5,7}:{(15,1),(40,1),(51,1),(99,1),(104,1)}
        32:{3,4,6,7}:{(15,1),(16,1),(19,1),(41,1),(51,1),(52,1),(53,1),(85,1),(97,1),(99,1)}
        33:{1,4,7}:{(16,1),(17,1),(20,1),(99,1)}
        34:{2,4,7}:{(16,1),(18,1),(21,1),(99,1)}
        35:{1,2,4,6}:{(17,1),(18,1),(22,1),(44,1),(54,1),(55,1)}
        36:{1,3,6,7}:{(19,1),(20,1),(52,1),(56,1),(73,1),(81,1),(85,1)}
        37:{2,3,6,7}:{(19,1),(21,1),(45,1),(53,1),(56,1),(85,1),(94,1)}
        38:{1,2,5,7}:{(20,1),(21,1),(22,1),(54,1),(56,1)}
        39:{1,3,5}:{(24,1),(30,1),(58,1),(63,1),(102,1)}
        40:{4,5,6}:{(31,1),(59,1),(101,1)}
        41:{3,4,6}:{(23,1),(59,1),(60,1),(61,1),(90,1),(101,1)}
        42:{1,4,5,7}:{(23,1),(24,1),(33,1),(57,1),(60,1),(69,1)}
        43:{2,4,5,7}:{(23,1),(25,1),(26,1),(34,1),(61,1),(70,1)}
        44:{1,2,4,5}:{(24,1),(25,1),(27,1),(35,1),(58,1),(63,1),(66,1),(88,1)}
        45:{2,3,6}:{(26,1),(61,1),(64,1),(90,1)}
        46:{1,2,5,7}:{(26,1),(27,1),(28,1),(64,1),(65,1)}
        47:{1,3,5}:{(27,1),(29,1),(63,1),(66,1)}
        48:{1,3,7}:{(28,1),(29,1),(72,1)}
        49:{1,3,4,7}:{(30,1),(33,1),(57,1),(67,1),(72,1),(91,1)}
        50:{1,2,4,6}:{(30,1),(58,1),(67,1),(68,1),(86,1),(88,1),(100,1)}
        51:{3,5,7}:{(31,1),(32,1),(59,1),(69,1),(70,1),(102,1)}
        52:{1,4,6,7}:{(32,1),(33,1),(36,1),(60,1),(69,1),(92,1)}
        53:{2,4,6,7}:{(32,1),(34,1),(37,1),(61,1),(70,1),(100,1)}
        54:{1,2,4,7}:{(33,1),(34,1),(35,1),(38,1),(72,1)}
        55:{3,6}:{(35,1),(63,1),(72,1)}
        56:{1,2,6,7}:{(36,1),(37,1),(38,1),(64,1),(86,1)}
        57:{1,3,5,7}:{(39,1),(42,1),(49,1),(73,1),(74,1),(79,1)}
        58:{1,2,5}:{(39,1),(50,1),(75,1),(103,1)}
        59:{3,5,6}:{(40,1),(41,1),(51,1),(76,1),(77,1)}
        60:{1,4,6}:{(41,1),(42,1),(73,1),(76,1)}
        61:{2,4,6}:{(41,1),(43,1),(45,1),(77,1)}
        62:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(46,1),(54,1),(74,1),(78,1),(79,1),(82,1),(84,1),(95,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5}:{(44,1),(55,1),(80,1)}
        64:{1,2,6}:{(45,1),(46,1),(81,1)}
        65:{1,3,5,7}:{(46,1),(47,1),(48,1),(79,1),(81,1),(82,1),(98,1)}
        66:{1,4}:{(47,1),(80,1)}
        67:{1,2,4,7}:{(49,1),(50,1),(74,1),(83,1),(95,1)}
        68:{2,3,6}:{(50,1),(55,1),(75,1),(83,1)}
        69:{1,5,7}:{(51,1),(52,1),(76,1),(98,1)}
        70:{2,5,7}:{(51,1),(53,1),(77,1),(103,1)}
        71:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(56,1),(78,1),(84,1),(85,1),(99,1)}
        72:{3,7}:{(54,1),(55,1)}
        73:{1,3,6}:{(57,1),(60,1),(86,1),(90,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(67,1),(86,1),(87,1)}
        75:{2,3,5}:{(58,1),(63,1),(68,1),(88,1)}
        76:{1,5,6}:{(59,1),(60,1),(69,1)}
        77:{2,5,6}:{(59,1),(61,1),(70,1)}
        78:{1,2,4,6}:{(60,1),(61,1),(62,1),(64,1),(86,1),(89,1),(90,1),(92,1),(100,1),(101,1)}
        79:{3,5,7}:{(62,1),(63,1),(72,1),(90,1),(91,1),(102,1)}
        80:{3,4}:{(63,1),(66,1),(88,1)}
        81:{1,3,6}:{(64,1),(65,1),(90,1),(92,1)}
        82:{1,4,7}:{(65,1),(66,1),(91,1),(92,1)}
        83:{2,3,7}:{(67,1),(68,1),(72,1)}
        84:{1,2,5,7}:{(69,1),(70,1),(71,1),(89,1),(93,1)}
        85:{3,6,7}:{(71,1),(72,1),(90,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(79,1),(83,1),(94,1),(95,1),(103,1)}
        88:{2,4}:{(75,1),(80,1)}
        89:{1,2,5,6}:{(76,1),(77,1),(78,1),(84,1),(96,1),(98,1),(103,1)}
        90:{3,6}:{(78,1),(79,1)}
        91:{3,4,7}:{(79,1),(80,1),(82,1),(95,1),(97,1),(99,1)}
        92:{1,4,6}:{(81,1),(82,1),(97,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(96,1),(99,1)}
        94:{2,3,6}:{(86,1),(87,1),(90,1),(100,1)}
        95:{2,4,7}:{(87,1),(88,1),(91,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(93,1),(101,1),(102,1)}
        97:{3,4,6}:{(90,1),(91,1),(92,1),(100,1),(101,1),(102,1)}
        98:{1,5}:{(92,1),(102,1)}
        99:{4,7}:{(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(95,1),(97,1),(103,1)}
       101:{4,6}:{(96,1),(99,1),(104,1)}
       102:{3,5}:{(97,1),(98,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

 952 :   0:{1,3,4,5,7}:{(1,1),(2,1),(12,1),(33,1),(75,1),(89,1),(93,1),(121,1),(131,1),(142,1)}
         1:{1,3,4,6}:{(0,1),(6,1),(7,1),(69,1),(148,1),(158,1),(167,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(20,1),(26,1),(59,1),(66,1),(70,1)}
         3:{1,4,5,6,7}:{(10,1),(39,1),(170,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(39,1),(86,1),(89,1),(139,1)}
         5:{3,4,5,6}:{(11,1),(14,1),(15,1),(47,1),(125,1),(172,1)}
         6:{1,3,5,6}:{(1,1),(12,1),(14,1),(16,1),(47,1),(75,1),(186,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(48,1)}
         8:{2,3,5,7}:{(2,1),(17,1),(18,1),(49,1),(131,1)}
         9:{1,2,3,5,7}:{(8,1),(19,1),(20,1),(53,1),(59,1)}
        10:{3,5,6,7}:{(3,1),(21,1),(23,1),(189,1)}
        11:{3,4,5,7}:{(5,1),(21,1),(24,1),(25,1),(65,1)}
        12:{1,3,5,7}:{(4,1),(6,1),(24,1),(26,1),(65,1),(164,1)}
        13:{1,2,4,6,7}:{(4,1),(7,1),(26,1),(27,1),(66,1)}
        14:{1,4,5,6}:{(5,1),(6,1),(24,1),(98,1),(148,1)}
        15:{2,4,5,6}:{(5,1),(25,1),(28,1),(151,1),(191,1)}
        16:{1,2,5,6}:{(6,1),(7,1),(26,1),(30,1),(59,1)}
        17:{2,3,6}:{(7,1),(8,1),(158,1)}
        18:{2,3,4,7}:{(8,1),(20,1),(31,1),(66,1),(102,1)}
        19:{1,2,3,6}:{(9,1),(17,1),(37,1),(76,1)}
        20:{1,2,4,7}:{(9,1),(18,1),(33,1),(37,1)}
        21:{3,4,6,7}:{(10,1),(11,1),(39,1),(40,1),(86,1),(172,1)}
        22:{1,3,5,6,7}:{(10,1),(12,1),(39,1),(41,1),(86,1),(122,1)}
        23:{2,5,6,7}:{(10,1),(40,1),(202,1)}
        24:{1,4,5,7}:{(11,1),(12,1),(14,1),(39,1)}
        25:{2,4,5,7}:{(11,1),(15,1),(40,1),(42,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(16,1),(44,1)}
        27:{2,3,6,7}:{(13,1),(17,1),(44,1),(86,1)}
        28:{2,3,5,6}:{(15,1),(35,1),(42,1),(46,1),(47,1),(135,1),(180,1)}
        29:{1,2,4,5,6}:{(14,1),(15,1),(16,1),(43,1),(46,1),(47,1),(48,1),(82,1),(92,1),(132,1),(141,1),(186,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(44,1),(47,1),(48,1),(49,1)}
        31:{2,3,4,6}:{(17,1),(18,1),(37,1),(48,1),(49,1),(81,1)}
        32:{2,3,4,5,7}:{(18,1),(38,1),(49,1),(50,1),(90,1),(95,1),(125,1),(131,1),(171,1),(178,1)}
        33:{1,3,4,7}:{(20,1),(52,1),(53,1),(102,1),(154,1)}
        34:{1,2,3,6,7}:{(19,1),(27,1),(55,1),(56,1),(100,1),(111,1),(158,1),(197,1),(198,1)}
        35:{2,3,4,6}:{(28,1),(51,1),(54,1),(57,1),(69,1)}
        36:{1,2,3,5,6}:{(19,1),(30,1),(55,1),(58,1),(59,1),(68,1),(99,1),(104,1),(105,1),(108,1),(158,1),(160,1),(161,1),(197,1)}
        37:{1,2,4,6}:{(19,1),(20,1),(31,1),(52,1),(59,1)}
        38:{1,2,4,5,7}:{(20,1),(32,1),(53,1),(59,1),(60,1),(98,1),(110,1),(154,1)}
        39:{1,4,6,7}:{(21,1),(22,1),(24,1),(148,1)}
        40:{2,4,6,7}:{(21,1),(23,1),(25,1),(61,1),(191,1)}
        41:{1,2,5,6,7}:{(22,1),(23,1),(26,1),(62,1),(63,1),(104,1),(164,1)}
        42:{2,3,5,7}:{(25,1),(28,1),(54,1),(61,1),(64,1),(65,1)}
        43:{1,2,4,5,7}:{(24,1),(25,1),(26,1),(29,1),(62,1),(64,1),(65,1),(66,1),(113,1),(114,1),(164,1)}
        44:{2,3,5,7}:{(26,1),(27,1),(30,1),(65,1),(66,1)}
        45:{2,3,4,6,7}:{(27,1),(31,1),(56,1),(66,1),(67,1),(102,1),(112,1),(116,1),(158,1)}
        46:{1,2,5,6}:{(28,1),(57,1),(64,1),(68,1),(160,1),(197,1)}
        47:{3,5,6}:{(29,1),(65,1),(69,1),(108,1),(158,1)}
        48:{2,4,6}:{(30,1),(66,1),(69,1),(70,1)}
        49:{2,3,5}:{(31,1),(59,1),(70,1),(108,1)}
        50:{2,3,4,6}:{(32,1),(60,1),(71,1),(116,1),(153,1),(158,1),(191,1)}
        51:{2,3,4,5}:{(35,1),(74,1),(93,1),(135,1),(174,1)}
        52:{1,3,4,6}:{(33,1),(37,1),(75,1),(76,1),(81,1),(126,1)}
        53:{1,3,5,7}:{(33,1),(38,1),(75,1),(76,1),(131,1)}
        54:{2,3,4,7}:{(35,1),(42,1),(77,1),(89,1)}
        55:{1,2,3,5,7}:{(34,1),(36,1),(44,1),(78,1),(79,1),(88,1),(127,1),(128,1),(131,1),(179,1),(184,1)}
        56:{1,2,4,6,7}:{(34,1),(37,1),(45,1),(73,1),(78,1),(79,1),(132,1),(139,1),(204,1)}
        57:{1,2,4,6}:{(35,1),(46,1),(74,1),(77,1),(80,1),(92,1)}
        58:{1,2,4,6}:{(36,1),(48,1),(78,1),(81,1),(82,1),(92,1),(126,1),(176,1)}
        59:{1,2,5}:{(37,1),(49,1),(75,1)}
        60:{1,2,4,6}:{(38,1),(50,1),(76,1),(83,1),(126,1)}
        61:{2,3,6,7}:{(40,1),(42,1),(85,1),(86,1),(180,1)}
        62:{1,2,4,6,7}:{(39,1),(40,1),(41,1),(43,1),(85,1),(86,1),(87,1),(132,1),(139,1)}
        63:{2,3,5,6,7}:{(41,1),(44,1),(86,1),(87,1),(91,1),(140,1)}
        64:{1,2,5,7}:{(42,1),(46,1),(77,1),(85,1),(88,1)}
        65:{3,5,7}:{(43,1),(47,1),(86,1),(89,1)}
        66:{2,4,7}:{(44,1),(48,1),(89,1)}
        67:{2,3,5,7}:{(45,1),(49,1),(79,1),(90,1),(91,1),(131,1),(140,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(80,1),(88,1),(92,1),(136,1),(181,1),(186,1)}
        69:{3,4,6}:{(47,1),(48,1),(89,1),(92,1),(93,1)}
        70:{2,4,5}:{(48,1),(49,1),(93,1)}
        71:{2,3,5,6}:{(49,1),(50,1),(83,1),(94,1),(95,1),(137,1),(202,1)}
        72:{2,3,4,6,7}:{(50,1),(84,1),(95,1),(144,1),(178,1),(182,1),(204,1)}
        73:{1,3,4,6,7}:{(52,1),(56,1),(96,1),(100,1),(102,1),(148,1),(154,1),(158,1),(192,1)}
        74:{1,2,4,5}:{(51,1),(57,1),(97,1),(118,1),(150,1),(160,1)}
        75:{1,3,5}:{(52,1),(59,1),(98,1),(108,1)}
        76:{1,3,6}:{(53,1),(60,1),(158,1)}
        77:{1,2,4,7}:{(54,1),(57,1),(64,1),(101,1),(114,1)}
        78:{1,2,4,7}:{(55,1),(58,1),(66,1),(102,1),(114,1),(154,1),(195,1)}
        79:{1,2,5,7}:{(56,1),(59,1),(67,1),(96,1),(104,1),(164,1),(208,1)}
        80:{1,3,6}:{(57,1),(97,1),(101,1)}
        81:{3,4,6}:{(58,1),(102,1),(108,1),(158,1)}
        82:{1,2,4,5}:{(58,1),(59,1),(70,1),(98,1),(108,1),(118,1),(151,1),(160,1)}
        83:{1,2,5,6}:{(59,1),(60,1),(71,1),(99,1),(110,1)}
        84:{1,2,4,6,7}:{(60,1),(72,1),(100,1),(110,1),(154,1)}
        85:{1,2,6,7}:{(61,1),(64,1),(111,1),(197,1)}
        86:{3,6,7}:{(62,1),(65,1),(158,1)}
        87:{2,4,6,7}:{(63,1),(66,1),(112,1),(113,1),(116,1)}
        88:{1,3,5,7}:{(64,1),(65,1),(68,1),(101,1),(111,1),(114,1),(164,1)}
        89:{3,4,7}:{(65,1),(66,1),(69,1),(114,1)}
        90:{2,4,5,7}:{(66,1),(67,1),(70,1),(115,1),(116,1)}
        91:{2,3,5,6}:{(67,1),(104,1),(116,1),(158,1),(165,1)}
        92:{1,4,6}:{(68,1),(69,1),(114,1),(118,1)}
        93:{3,4,5}:{(69,1),(70,1),(108,1),(118,1)}
        94:{2,4,5,6}:{(70,1),(71,1),(116,1),(119,1),(120,1)}
        95:{2,3,5,7}:{(71,1),(72,1),(110,1),(120,1),(163,1),(208,1)}
        96:{1,3,5,7}:{(73,1),(75,1),(79,1),(121,1),(122,1),(131,1),(203,1)}
        97:{1,3,5}:{(74,1),(80,1),(124,1)}
        98:{1,4,5}:{(75,1),(125,1),(126,1)}
        99:{1,3,5,6}:{(75,1),(76,1),(83,1),(126,1),(127,1),(137,1)}
       100:{1,3,6,7}:{(76,1),(84,1),(127,1),(182,1)}
       101:{1,3,7}:{(77,1),(80,1)}
       102:{3,4,7}:{(78,1),(81,1),(131,1)}
       103:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(90,1),(121,1),(131,1),(132,1),(142,1),(171,1),(179,1)}
       104:{1,2,5,6}:{(79,1),(91,1),(122,1),(132,1),(186,1),(202,1)}
       105:{1,2,3,6}:{(80,1),(123,1),(128,1),(134,1),(205,1)}
       106:{2,3,4,6}:{(81,1),(129,1),(134,1),(135,1),(174,1),(176,1),(180,1),(205,1)}
       107:{1,3,4,6}:{(80,1),(81,1),(92,1),(124,1),(130,1),(134,1),(136,1),(181,1)}
       108:{3,5}:{(81,1),(82,1)}
       109:{1,2,4,5,6}:{(82,1),(83,1),(94,1),(126,1),(132,1),(137,1),(138,1),(145,1),(170,1),(176,1),(183,1),(202,1)}
       110:{1,2,5,7}:{(83,1),(84,1),(95,1),(127,1)}
       111:{1,3,6,7}:{(85,1),(86,1),(88,1),(139,1),(181,1)}
       112:{3,4,6,7}:{(86,1),(87,1),(89,1),(139,1),(140,1),(143,1)}
       113:{2,4,5,7}:{(87,1),(140,1),(141,1)}
       114:{1,4,7}:{(88,1),(89,1),(92,1)}
       115:{3,4,5,7}:{(89,1),(90,1),(93,1),(131,1),(140,1),(142,1),(143,1)}
       116:{2,4,6}:{(90,1),(91,1),(143,1)}
       117:{2,3,5,6,7}:{(91,1),(95,1),(133,1),(144,1),(182,1),(187,1)}
       118:{1,4,5}:{(92,1),(93,1),(136,1)}
       119:{3,4,5,6}:{(93,1),(94,1),(137,1),(143,1),(145,1),(146,1)}
       120:{2,4,5,7}:{(94,1),(95,1),(144,1),(146,1)}
       121:{1,4,5,7}:{(96,1),(98,1),(147,1),(148,1),(154,1)}
       122:{1,3,5,6}:{(96,1),(104,1),(148,1),(158,1),(189,1)}
       123:{1,2,3,5}:{(97,1),(105,1),(150,1),(160,1),(193,1)}
       124:{1,3,4}:{(97,1),(150,1)}
       125:{3,4,5}:{(98,1),(108,1),(151,1),(153,1)}
       126:{1,4,6}:{(98,1),(99,1),(153,1),(154,1)}
       127:{1,3,5,7}:{(99,1),(100,1),(110,1),(154,1),(163,1)}
       128:{1,2,3,7}:{(101,1),(105,1),(155,1),(209,1)}
       129:{2,3,4,7}:{(102,1),(106,1),(155,1),(156,1),(195,1),(209,1)}
       130:{1,3,4,7}:{(101,1),(102,1),(107,1),(114,1),(155,1),(157,1)}
       131:{3,5,7}:{(102,1),(103,1),(108,1),(158,1)}
       132:{1,2,4,6}:{(103,1),(104,1),(116,1),(148,1),(158,1),(167,1),(191,1),(197,1)}
       133:{1,2,5,6,7}:{(104,1),(110,1),(117,1),(149,1),(159,1),(201,1),(208,1)}
       134:{1,2,4,6}:{(105,1),(106,1),(107,1),(150,1),(155,1),(160,1),(197,1)}
       135:{2,3,5}:{(106,1),(108,1),(151,1),(160,1)}
       136:{1,3,5}:{(107,1),(108,1),(118,1),(160,1)}
       137:{3,5,6}:{(108,1),(109,1),(153,1),(158,1),(163,1)}
       138:{1,2,4,5,7}:{(109,1),(110,1),(120,1),(154,1),(159,1),(163,1),(169,1),(190,1),(195,1),(200,1),(208,1)}
       139:{1,4,6,7}:{(111,1),(112,1),(114,1),(164,1),(167,1)}
       140:{3,5,7}:{(112,1),(113,1),(164,1),(165,1)}
       141:{2,4,5,6}:{(113,1),(116,1),(165,1)}
       142:{1,4,5,7}:{(114,1),(115,1),(118,1),(157,1),(164,1),(167,1)}
       143:{3,4,6}:{(115,1),(116,1),(158,1),(165,1),(167,1)}
       144:{2,4,6,7}:{(116,1),(117,1),(120,1),(168,1)}
       145:{1,4,5,6}:{(118,1),(119,1),(162,1),(167,1),(169,1)}
       146:{3,4,5,7}:{(119,1),(120,1),(163,1),(168,1),(169,1)}
       147:{3,4,5,7}:{(121,1),(125,1),(131,1),(171,1),(172,1),(178,1),(203,1)}
       148:{1,4,6}:{(121,1),(122,1),(172,1)}
       149:{1,3,5,6,7}:{(122,1),(127,1),(133,1),(173,1),(182,1),(203,1)}
       150:{1,2,4}:{(123,1),(124,1),(174,1)}
       151:{2,4,5}:{(125,1),(135,1),(176,1)}
       152:{1,3,4,5}:{(124,1),(125,1),(136,1),(175,1),(177,1)}
       153:{3,4,6}:{(125,1),(126,1),(137,1),(176,1),(178,1)}
       154:{1,4,7}:{(126,1),(127,1),(178,1)}
       155:{1,2,4,7}:{(128,1),(129,1),(130,1),(134,1),(179,1)}
       156:{2,3,5,7}:{(129,1),(131,1),(135,1),(171,1),(179,1),(180,1)}
       157:{1,3,5,7}:{(130,1),(131,1),(136,1),(142,1),(179,1),(181,1)}
       158:{3,6}:{(131,1),(132,1)}
       159:{1,2,4,6,7}:{(132,1),(133,1),(138,1),(144,1),(173,1),(182,1),(188,1),(204,1),(207,1)}
       160:{1,2,5}:{(134,1),(135,1),(136,1)}
       161:{2,3,5,6}:{(135,1),(137,1),(176,1),(180,1),(183,1),(184,1),(202,1),(205,1)}
       162:{1,3,5,6}:{(136,1),(137,1),(145,1),(177,1),(181,1),(183,1),(185,1)}
       163:{3,5,7}:{(137,1),(138,1),(178,1),(182,1)}
       164:{1,5,7}:{(139,1),(140,1),(186,1)}
       165:{3,5,6}:{(140,1),(141,1),(143,1),(186,1)}
       166:{2,4,5,6,7}:{(141,1),(144,1),(187,1)}
       167:{1,4,6}:{(142,1),(143,1),(181,1),(186,1)}
       168:{3,4,6,7}:{(143,1),(144,1),(146,1),(182,1),(187,1),(188,1)}
       169:{1,4,5,7}:{(145,1),(146,1),(185,1),(188,1)}
       170:{1,4,5,6}:{(148,1),(189,1),(190,1)}
       171:{2,4,5,7}:{(147,1),(151,1),(156,1),(191,1),(195,1),(208,1)}
       172:{3,4,6}:{(147,1),(148,1),(158,1),(189,1),(191,1)}
       173:{1,4,6,7}:{(148,1),(149,1),(154,1),(190,1),(192,1)}
       174:{2,3,4}:{(150,1),(193,1)}
       175:{1,2,4,5}:{(150,1),(151,1),(152,1),(160,1),(193,1),(194,1)}
       176:{2,4,6}:{(151,1),(153,1),(161,1),(195,1)}
       177:{1,3,4,6}:{(152,1),(153,1),(162,1),(194,1),(196,1)}
       178:{3,4,7}:{(153,1),(154,1),(163,1),(195,1)}
       179:{1,2,5,7}:{(155,1),(156,1),(157,1),(160,1),(197,1)}
       180:{2,3,6}:{(156,1),(158,1),(191,1),(197,1)}
       181:{1,3,6}:{(157,1),(158,1),(167,1),(197,1)}
       182:{3,6,7}:{(158,1),(159,1),(163,1)}
       183:{1,2,5,6}:{(160,1),(161,1),(162,1),(194,1),(197,1),(200,1)}
       184:{2,3,5,7}:{(161,1),(163,1),(195,1),(198,1),(200,1),(208,1),(209,1)}
       185:{1,3,5,7}:{(162,1),(163,1),(169,1),(196,1),(199,1),(200,1)}
       186:{1,5,6}:{(164,1),(165,1),(167,1)}
       187:{3,5,6,7}:{(165,1),(166,1),(168,1),(201,1)}
       188:{1,4,6,7}:{(167,1),(168,1),(169,1),(199,1),(201,1)}
       189:{3,5,6}:{(170,1),(172,1),(202,1),(203,1)}
       190:{1,4,5,7}:{(170,1),(173,1),(203,1)}
       191:{2,4,6}:{(171,1),(172,1),(180,1),(202,1)}
       192:{3,4,6,7}:{(172,1),(173,1),(178,1),(182,1),(203,1),(204,1)}
       193:{2,3,5}:{(174,1),(175,1),(205,1)}
       194:{1,2,4,6}:{(175,1),(176,1),(177,1),(183,1),(205,1),(206,1)}
       195:{2,4,7}:{(176,1),(178,1),(184,1)}
       196:{1,3,4,7}:{(177,1),(178,1),(185,1),(206,1)}
       197:{1,2,6}:{(179,1),(180,1),(181,1)}
       198:{2,3,6,7}:{(180,1),(182,1),(184,1),(204,1),(207,1)}
       199:{1,3,6,7}:{(181,1),(182,1),(185,1),(188,1),(207,1)}
       200:{1,2,5,7}:{(183,1),(184,1),(185,1),(206,1),(207,1)}
       201:{1,5,6,7}:{(186,1),(187,1),(188,1)}
       202:{2,5,6}:{(189,1),(191,1),(208,1)}
       203:{3,5,7}:{(189,1),(190,1),(192,1),(208,1)}
       204:{2,4,6,7}:{(191,1),(192,1),(195,1),(198,1),(208,1)}
       205:{2,3,6}:{(193,1),(194,1),(209,1)}
       206:{1,2,4,7}:{(194,1),(195,1),(196,1),(200,1),(209,1)}
       207:{1,2,6,7}:{(197,1),(198,1),(199,1),(200,1)}
       208:{2,5,7}:{(202,1),(203,1),(204,1)}
       209:{2,3,7}:{(205,1),(206,1)}

 953 :   0:{1,2,4,5,6}:{(1,1),(2,1),(10,1),(11,1),(13,1),(40,1),(78,1),(79,1),(80,1),(81,1),(99,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(59,1),(90,1),(101,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(26,1),(27,1),(29,1),(66,1),(67,1),(68,1)}
         3:{3,4,6}:{(1,1),(9,1),(10,1),(11,1),(12,1),(44,1),(76,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(13,1),(14,1),(37,1),(44,1),(51,1),(74,1),(79,1),(85,1),(97,1),(99,1)}
         5:{2,3,5,6}:{(1,1),(11,1),(13,1),(15,1),(18,1),(44,1),(53,1),(72,1),(80,1),(95,1),(97,1),(103,1)}
         6:{3,5,7}:{(1,1),(2,1),(12,1),(16,1)}
         7:{1,2,4,6,7}:{(2,1),(16,1),(17,1),(46,1),(47,1),(49,1),(50,1),(78,1)}
         8:{2,3,4,6}:{(11,1),(18,1),(19,1),(20,1),(44,1),(53,1),(76,1),(96,1)}
         9:{3,4,5}:{(3,1),(22,1),(23,1),(59,1),(101,1)}
        10:{1,4,6}:{(3,1),(4,1),(22,1),(26,1),(69,1),(102,1)}
        11:{2,4,6}:{(3,1),(5,1),(23,1),(27,1),(86,1),(102,1)}
        12:{3,4,7}:{(3,1),(6,1),(26,1),(27,1),(64,1)}
        13:{1,2,5,6}:{(4,1),(5,1),(25,1),(29,1),(33,1),(55,1),(71,1),(88,1)}
        14:{1,3,5,7}:{(4,1),(6,1),(26,1),(29,1),(30,1),(64,1),(66,1),(92,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(27,1),(29,1),(31,1),(64,1),(67,1),(92,1)}
        16:{3,6,7}:{(6,1),(7,1),(90,1)}
        17:{1,2,5,6,7}:{(7,1),(32,1),(66,1),(67,1),(91,1)}
        18:{2,3,5}:{(8,1),(23,1),(33,1),(59,1),(101,1)}
        19:{1,2,4,6}:{(8,1),(33,1),(35,1),(36,1),(69,1),(71,1),(93,1)}
        20:{2,3,4,7}:{(8,1),(27,1),(34,1),(36,1),(64,1),(89,1)}
        21:{1,3,4,6}:{(10,1),(37,1),(38,1),(39,1),(44,1),(74,1),(76,1),(96,1)}
        22:{1,4,5}:{(9,1),(10,1),(37,1),(99,1),(104,1)}
        23:{2,4,5}:{(9,1),(11,1),(18,1),(103,1),(104,1)}
        24:{3,4,5,7}:{(9,1),(12,1),(41,1),(42,1),(43,1),(48,1),(77,1),(98,1),(104,1)}
        25:{1,2,4,6}:{(10,1),(11,1),(13,1),(40,1),(44,1),(45,1)}
        26:{1,4,7}:{(10,1),(12,1),(14,1),(98,1)}
        27:{2,4,7}:{(11,1),(12,1),(15,1),(98,1)}
        28:{3,4,6,7}:{(12,1),(16,1),(43,1),(46,1),(47,1),(48,1),(50,1),(82,1),(96,1),(98,1)}
        29:{1,2,5,7}:{(13,1),(14,1),(15,1),(45,1),(49,1)}
        30:{1,3,6,7}:{(14,1),(16,1),(46,1),(49,1),(74,1),(82,1),(85,1)}
        31:{2,3,6,7}:{(15,1),(16,1),(47,1),(49,1),(53,1),(82,1),(95,1)}
        32:{3,5,6,7}:{(16,1),(17,1),(48,1),(50,1),(97,1)}
        33:{1,2,5}:{(18,1),(19,1),(51,1),(99,1)}
        34:{2,3,5,7}:{(18,1),(20,1),(42,1),(52,1),(53,1),(77,1)}
        35:{1,3,6}:{(19,1),(44,1),(51,1),(54,1)}
        36:{1,2,4,7}:{(19,1),(20,1),(52,1),(54,1),(84,1)}
        37:{1,3,5}:{(21,1),(22,1),(55,1),(59,1),(101,1)}
        38:{1,2,4,6}:{(21,1),(55,1),(57,1),(58,1),(86,1),(88,1),(100,1)}
        39:{1,3,4,7}:{(21,1),(26,1),(56,1),(58,1),(64,1),(89,1)}
        40:{1,2,4,5}:{(22,1),(23,1),(25,1),(33,1),(55,1),(59,1),(69,1),(86,1)}
        41:{1,4,5,7}:{(22,1),(24,1),(26,1),(56,1),(61,1),(66,1)}
        42:{2,4,5,7}:{(23,1),(24,1),(27,1),(34,1),(62,1),(67,1)}
        43:{3,4,6}:{(24,1),(61,1),(62,1),(63,1),(90,1),(102,1)}
        44:{3,6}:{(25,1),(59,1),(64,1)}
        45:{1,2,4,7}:{(25,1),(26,1),(27,1),(29,1),(64,1)}
        46:{1,4,6,7}:{(26,1),(28,1),(30,1),(61,1),(66,1),(93,1)}
        47:{2,4,6,7}:{(27,1),(28,1),(31,1),(62,1),(67,1),(100,1)}
        48:{3,5,7}:{(28,1),(63,1),(66,1),(67,1),(68,1),(101,1)}
        49:{1,2,6,7}:{(29,1),(30,1),(31,1),(71,1),(88,1)}
        50:{4,6,7}:{(32,1),(68,1),(102,1)}
        51:{1,3,5}:{(33,1),(35,1),(59,1),(69,1)}
        52:{1,2,5,7}:{(33,1),(34,1),(36,1),(70,1),(71,1)}
        53:{2,3,6}:{(34,1),(62,1),(71,1),(90,1)}
        54:{1,3,7}:{(35,1),(36,1),(64,1)}
        55:{1,2,5}:{(37,1),(38,1),(72,1),(103,1)}
        56:{1,3,5,7}:{(37,1),(39,1),(41,1),(73,1),(74,1),(77,1)}
        57:{2,3,6}:{(38,1),(44,1),(72,1),(75,1)}
        58:{1,2,4,7}:{(38,1),(39,1),(73,1),(75,1),(94,1)}
        59:{3,5}:{(40,1),(44,1),(76,1)}
        60:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(45,1),(52,1),(73,1),(77,1),(78,1),(83,1),(84,1),(94,1),(98,1),(99,1),(103,1),(104,1)}
        61:{1,4,6}:{(41,1),(43,1),(74,1),(79,1)}
        62:{2,4,6}:{(42,1),(43,1),(53,1),(80,1)}
        63:{3,5,6}:{(43,1),(48,1),(79,1),(80,1),(81,1)}
        64:{3,7}:{(44,1),(45,1)}
        65:{1,2,4,6,7}:{(45,1),(46,1),(47,1),(49,1),(78,1),(82,1),(83,1),(98,1)}
        66:{1,5,7}:{(46,1),(48,1),(79,1),(99,1)}
        67:{2,5,7}:{(47,1),(48,1),(80,1),(103,1)}
        68:{4,5,7}:{(48,1),(50,1),(81,1),(98,1),(104,1)}
        69:{1,4}:{(51,1),(76,1)}
        70:{1,3,5,7}:{(51,1),(52,1),(54,1),(77,1),(84,1),(85,1),(99,1)}
        71:{1,2,6}:{(52,1),(53,1),(85,1)}
        72:{2,3,5}:{(55,1),(57,1),(59,1),(86,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(58,1),(87,1),(88,1)}
        74:{1,3,6}:{(56,1),(61,1),(88,1),(90,1)}
        75:{2,3,7}:{(57,1),(58,1),(64,1)}
        76:{3,4}:{(59,1),(69,1),(86,1)}
        77:{3,5,7}:{(59,1),(60,1),(64,1),(89,1),(90,1),(101,1)}
        78:{1,2,4,6}:{(60,1),(61,1),(62,1),(71,1),(88,1),(90,1),(91,1),(93,1),(100,1),(102,1)}
        79:{1,5,6}:{(61,1),(63,1),(66,1)}
        80:{2,5,6}:{(62,1),(63,1),(67,1)}
        81:{4,5,6}:{(63,1),(68,1),(102,1)}
        82:{3,6,7}:{(64,1),(65,1),(90,1),(92,1)}
        83:{1,2,5,7}:{(65,1),(66,1),(67,1),(91,1),(92,1)}
        84:{1,4,7}:{(69,1),(70,1),(89,1),(93,1)}
        85:{1,3,6}:{(70,1),(71,1),(90,1),(93,1)}
        86:{2,4}:{(72,1),(76,1)}
        87:{2,3,5,7}:{(72,1),(73,1),(75,1),(77,1),(94,1),(95,1),(103,1)}
        88:{1,2,6}:{(73,1),(74,1),(95,1)}
        89:{3,4,7}:{(76,1),(77,1),(84,1),(94,1),(96,1),(98,1)}
        90:{3,6}:{(77,1),(78,1)}
        91:{1,2,5,6}:{(78,1),(79,1),(80,1),(83,1),(97,1),(99,1),(103,1)}
        92:{3,5,7}:{(82,1),(83,1),(97,1),(98,1)}
        93:{1,4,6}:{(84,1),(85,1),(96,1),(99,1)}
        94:{2,4,7}:{(86,1),(87,1),(89,1),(100,1)}
        95:{2,3,6}:{(87,1),(88,1),(90,1),(100,1)}
        96:{3,4,6}:{(89,1),(90,1),(93,1),(100,1),(101,1),(102,1)}
        97:{3,5,6}:{(90,1),(91,1),(92,1),(101,1),(102,1)}
        98:{4,7}:{(92,1),(102,1)}
        99:{1,5}:{(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(95,1),(96,1),(103,1)}
       101:{3,5}:{(96,1),(99,1),(103,1),(104,1)}
       102:{4,6}:{(97,1),(98,1),(104,1)}
       103:{2,5}:{(100,1),(101,1)}
       104:{4,5}:{(101,1),(102,1)}

 954 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(26,1),(160,1),(171,1),(207,1)}
         1:{1,3,4,5}:{(5,1),(6,1),(63,1),(68,1),(116,1)}
         2:{3,4,5,7}:{(0,1),(10,1),(11,1),(12,1),(43,1),(141,1)}
         3:{1,4,5,6}:{(0,1),(7,1),(11,1),(144,1),(197,1)}
         4:{2,4,5,6}:{(0,1),(8,1),(12,1),(181,1),(216,1)}
         5:{1,3,4,6}:{(1,1),(7,1),(14,1),(15,1),(44,1)}
         6:{1,2,4,5}:{(1,1),(15,1),(16,1),(48,1),(79,1),(89,1)}
         7:{1,3,5,6}:{(3,1),(5,1),(18,1),(19,1),(26,1),(116,1),(175,1)}
         8:{2,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(26,1),(155,1),(204,1)}
         9:{4,5,6,7}:{(22,1),(111,1),(226,1)}
        10:{3,4,6,7}:{(2,1),(22,1),(23,1),(24,1),(61,1),(111,1),(207,1)}
        11:{1,4,5,7}:{(2,1),(3,1),(18,1),(23,1)}
        12:{2,4,5,7}:{(2,1),(4,1),(20,1),(24,1)}
        13:{1,2,4,5,6}:{(3,1),(4,1),(19,1),(21,1),(25,1),(26,1),(56,1),(59,1),(104,1),(165,1),(167,1),(169,1),(171,1)}
        14:{1,3,4,7}:{(5,1),(18,1),(27,1),(62,1)}
        15:{1,2,4,6}:{(5,1),(6,1),(19,1),(27,1),(28,1),(56,1)}
        16:{2,3,5}:{(6,1),(28,1),(30,1)}
        17:{2,3,4,6}:{(8,1),(31,1),(32,1),(33,1),(44,1)}
        18:{1,3,5,7}:{(7,1),(11,1),(14,1),(34,1),(35,1),(43,1)}
        19:{1,2,5,6}:{(7,1),(15,1),(35,1),(36,1),(89,1),(147,1)}
        20:{2,3,5,7}:{(8,1),(12,1),(32,1),(37,1),(38,1),(43,1)}
        21:{1,2,5,6}:{(8,1),(33,1),(38,1),(39,1),(127,1),(184,1)}
        22:{3,5,6,7}:{(9,1),(10,1),(40,1),(41,1),(219,1)}
        23:{1,4,6,7}:{(10,1),(11,1),(34,1),(40,1),(197,1)}
        24:{2,4,6,7}:{(10,1),(12,1),(37,1),(41,1),(216,1)}
        25:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(35,1),(38,1),(42,1),(43,1),(78,1),(81,1),(135,1),(138,1),(141,1)}
        26:{3,5,6}:{(13,1),(43,1),(44,1),(131,1),(190,1)}
        27:{1,2,4,7}:{(14,1),(15,1),(35,1),(46,1),(78,1)}
        28:{2,3,6}:{(15,1),(16,1),(46,1)}
        29:{1,2,3,5}:{(16,1),(45,1),(48,1),(89,1),(92,1)}
        30:{2,3,4}:{(16,1),(48,1)}
        31:{2,3,4,5}:{(17,1),(50,1),(63,1),(151,1),(155,1)}
        32:{2,3,4,7}:{(17,1),(20,1),(51,1),(62,1)}
        33:{1,2,4,6}:{(17,1),(21,1),(50,1),(51,1),(52,1),(59,1)}
        34:{1,3,6,7}:{(18,1),(23,1),(54,1),(61,1),(175,1)}
        35:{1,2,5,7}:{(18,1),(19,1),(27,1),(54,1),(55,1)}
        36:{2,3,5,6}:{(19,1),(26,1),(28,1),(55,1),(56,1),(67,1),(119,1),(167,1)}
        37:{2,3,6,7}:{(20,1),(24,1),(57,1),(61,1),(204,1)}
        38:{1,2,5,7}:{(20,1),(21,1),(51,1),(57,1),(58,1)}
        39:{1,3,5,6}:{(21,1),(26,1),(52,1),(58,1),(59,1),(100,1),(158,1),(169,1)}
        40:{1,5,6,7}:{(22,1),(23,1),(213,1)}
        41:{2,5,6,7}:{(22,1),(24,1),(224,1)}
        42:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(54,1),(57,1),(60,1),(61,1),(105,1),(108,1),(111,1),(165,1)}
        43:{3,5,7}:{(25,1),(26,1),(61,1),(62,1)}
        44:{3,4,6}:{(26,1),(56,1),(59,1),(62,1),(63,1)}
        45:{1,2,3,6}:{(28,1),(29,1),(64,1),(65,1),(121,1)}
        46:{2,3,7}:{(27,1),(28,1)}
        47:{2,3,4,6}:{(28,1),(30,1),(56,1),(65,1),(66,1),(67,1),(101,1),(119,1)}
        48:{1,2,4}:{(29,1),(30,1),(68,1)}
        49:{2,3,4,5}:{(30,1),(67,1),(69,1),(70,1),(160,1)}
        50:{1,2,4,5}:{(31,1),(33,1),(71,1),(82,1),(123,1),(127,1)}
        51:{1,2,4,7}:{(32,1),(33,1),(38,1),(73,1),(81,1)}
        52:{1,3,6}:{(33,1),(71,1),(73,1)}
        53:{1,2,3,5,6}:{(36,1),(39,1),(45,1),(72,1),(75,1),(76,1),(89,1),(127,1),(131,1),(146,1),(147,1),(183,1),(184,1),(190,1),(192,1)}
        54:{1,2,6,7}:{(34,1),(35,1),(77,1),(147,1)}
        55:{2,3,5,7}:{(35,1),(36,1),(43,1),(46,1),(77,1),(78,1),(135,1)}
        56:{2,4,6}:{(36,1),(44,1),(78,1),(79,1)}
        57:{1,2,6,7}:{(37,1),(38,1),(80,1),(184,1)}
        58:{1,3,5,7}:{(38,1),(39,1),(43,1),(73,1),(80,1),(81,1),(138,1)}
        59:{1,4,6}:{(39,1),(44,1),(81,1),(82,1)}
        60:{1,2,5,6,7}:{(40,1),(41,1),(42,1),(83,1),(135,1),(138,1),(192,1)}
        61:{3,6,7}:{(42,1),(43,1),(190,1)}
        62:{3,4,7}:{(43,1),(44,1),(78,1),(81,1)}
        63:{3,4,5}:{(44,1),(79,1),(82,1),(131,1)}
        64:{1,2,3,7}:{(45,1),(46,1),(88,1),(150,1)}
        65:{1,2,4,6}:{(45,1),(47,1),(48,1),(87,1),(88,1),(89,1),(147,1)}
        66:{2,3,4,7}:{(46,1),(47,1),(78,1),(88,1),(90,1),(130,1)}
        67:{2,3,5}:{(47,1),(79,1),(89,1),(131,1)}
        68:{1,3,4}:{(48,1),(92,1)}
        69:{1,2,4,5}:{(48,1),(49,1),(89,1),(92,1),(93,1),(144,1)}
        70:{2,3,4,6}:{(49,1),(91,1),(93,1),(94,1),(188,1)}
        71:{1,3,5}:{(50,1),(52,1),(96,1)}
        72:{1,2,3,6}:{(52,1),(95,1),(97,1),(98,1),(200,1)}
        73:{1,3,7}:{(51,1),(52,1)}
        74:{1,3,4,6}:{(52,1),(59,1),(96,1),(98,1),(99,1),(100,1),(101,1),(158,1)}
        75:{1,2,3,5,7}:{(53,1),(55,1),(58,1),(64,1),(97,1),(102,1),(103,1),(117,1),(156,1),(162,1),(164,1),(176,1),(205,1)}
        76:{1,2,4,6}:{(53,1),(56,1),(59,1),(101,1),(103,1),(104,1),(174,1),(203,1)}
        77:{2,3,6,7}:{(54,1),(55,1),(61,1),(105,1),(119,1)}
        78:{2,4,7}:{(55,1),(56,1),(62,1)}
        79:{2,4,5}:{(56,1),(63,1),(67,1)}
        80:{1,3,6,7}:{(57,1),(58,1),(61,1),(108,1),(158,1)}
        81:{1,4,7}:{(58,1),(59,1),(62,1)}
        82:{1,4,5}:{(59,1),(63,1),(100,1)}
        83:{3,5,6,7}:{(60,1),(61,1),(111,1),(112,1),(210,1)}
        84:{3,4,6,7}:{(61,1),(62,1),(105,1),(108,1),(111,1),(112,1),(113,1)}
        85:{3,4,5,7}:{(62,1),(63,1),(106,1),(109,1),(112,1),(113,1),(162,1),(209,1)}
        86:{3,4,5,6}:{(63,1),(107,1),(110,1),(113,1),(114,1),(163,1),(226,1)}
        87:{1,3,4,6}:{(65,1),(68,1),(101,1),(115,1),(116,1),(121,1),(174,1),(175,1)}
        88:{1,2,4,7}:{(64,1),(65,1),(66,1),(115,1),(117,1)}
        89:{1,2,5}:{(65,1),(67,1),(116,1)}
        90:{2,3,5,7}:{(66,1),(67,1),(106,1),(117,1),(119,1),(162,1)}
        91:{2,3,5,6}:{(67,1),(70,1),(107,1),(118,1),(119,1),(120,1),(163,1)}
        92:{1,3,5}:{(68,1),(69,1),(121,1)}
        93:{1,2,4,6}:{(69,1),(70,1),(118,1),(121,1),(122,1),(174,1)}
        94:{2,3,4,7}:{(70,1),(120,1),(122,1),(208,1)}
        95:{1,2,3,5}:{(71,1),(72,1),(123,1),(127,1),(178,1)}
        96:{1,3,4}:{(71,1),(123,1)}
        97:{1,2,3,7}:{(72,1),(73,1),(126,1),(215,1)}
        98:{1,2,4,6}:{(72,1),(74,1),(123,1),(125,1),(126,1),(127,1),(184,1)}
        99:{1,3,4,7}:{(73,1),(74,1),(81,1),(126,1),(128,1),(130,1)}
       100:{1,3,5}:{(74,1),(82,1),(127,1),(131,1)}
       101:{3,4,6}:{(76,1),(130,1),(131,1),(190,1)}
       102:{1,2,3,6,7}:{(75,1),(77,1),(80,1),(132,1),(147,1),(184,1),(190,1),(199,1),(218,1)}
       103:{1,2,4,7}:{(75,1),(76,1),(78,1),(81,1),(130,1),(198,1),(217,1)}
       104:{1,2,4,5}:{(76,1),(79,1),(82,1),(89,1),(127,1),(131,1),(144,1),(181,1)}
       105:{2,4,6,7}:{(77,1),(78,1),(84,1),(135,1),(136,1)}
       106:{2,4,5,7}:{(78,1),(79,1),(85,1),(90,1),(135,1),(136,1)}
       107:{2,4,5,6}:{(79,1),(86,1),(91,1),(136,1),(137,1)}
       108:{1,4,6,7}:{(80,1),(81,1),(84,1),(138,1),(139,1)}
       109:{1,4,5,7}:{(81,1),(82,1),(85,1),(128,1),(138,1),(139,1)}
       110:{1,4,5,6}:{(82,1),(86,1),(129,1),(139,1),(140,1)}
       111:{4,6,7}:{(83,1),(141,1),(221,1)}
       112:{3,5,7}:{(84,1),(135,1),(138,1),(141,1),(142,1)}
       113:{3,4,6}:{(85,1),(136,1),(139,1),(142,1),(190,1),(221,1)}
       114:{3,4,5,7}:{(86,1),(137,1),(140,1),(143,1),(191,1),(230,1)}
       115:{1,3,4,7}:{(87,1),(88,1),(130,1),(145,1),(150,1),(198,1)}
       116:{1,3,5}:{(87,1),(89,1),(131,1),(144,1)}
       117:{1,2,5,7}:{(88,1),(89,1),(90,1),(145,1),(147,1)}
       118:{1,2,5,6}:{(89,1),(91,1),(93,1),(146,1),(147,1),(148,1)}
       119:{2,3,6}:{(90,1),(136,1),(147,1),(190,1)}
       120:{2,3,5,7}:{(91,1),(94,1),(137,1),(148,1),(149,1),(191,1)}
       121:{1,3,6}:{(92,1),(93,1),(150,1)}
       122:{1,2,4,7}:{(93,1),(94,1),(148,1),(150,1),(198,1)}
       123:{1,2,4}:{(95,1),(96,1),(151,1)}
       124:{1,3,4,5}:{(96,1),(100,1),(152,1),(153,1),(160,1)}
       125:{2,3,4,6}:{(98,1),(101,1),(151,1),(154,1),(155,1),(200,1),(203,1),(204,1)}
       126:{1,2,4,7}:{(97,1),(98,1),(99,1),(154,1),(156,1)}
       127:{1,2,5}:{(98,1),(100,1),(155,1)}
       128:{1,3,5,7}:{(99,1),(100,1),(109,1),(156,1),(158,1),(162,1)}
       129:{1,3,5,6}:{(100,1),(110,1),(153,1),(157,1),(158,1),(159,1),(163,1)}
       130:{3,4,7}:{(101,1),(103,1),(162,1)}
       131:{3,5}:{(101,1),(104,1)}
       132:{1,2,4,6,7}:{(102,1),(103,1),(105,1),(108,1),(161,1),(164,1),(165,1),(214,1),(225,1)}
       133:{1,2,4,5,7}:{(103,1),(104,1),(106,1),(109,1),(117,1),(156,1),(162,1),(164,1),(165,1),(173,1),(202,1),(209,1)}
       134:{1,2,4,5,6}:{(104,1),(107,1),(110,1),(118,1),(157,1),(163,1),(165,1),(166,1),(174,1),(203,1),(213,1),(224,1),(226,1)}
       135:{2,5,7}:{(105,1),(112,1),(167,1)}
       136:{2,4,6}:{(106,1),(113,1),(119,1),(167,1)}
       137:{2,4,5,7}:{(107,1),(114,1),(120,1),(168,1)}
       138:{1,5,7}:{(108,1),(112,1),(169,1)}
       139:{1,4,6}:{(109,1),(113,1),(158,1),(169,1)}
       140:{1,4,5,7}:{(110,1),(114,1),(159,1),(170,1)}
       141:{4,5,7}:{(111,1),(112,1),(171,1)}
       142:{3,5,6}:{(112,1),(113,1),(167,1),(169,1),(171,1)}
       143:{3,4,6,7}:{(113,1),(114,1),(168,1),(170,1),(172,1),(211,1),(228,1)}
       144:{1,4,5}:{(116,1),(160,1),(174,1)}
       145:{1,3,5,7}:{(115,1),(116,1),(117,1),(162,1),(173,1),(175,1)}
       146:{1,3,5,6}:{(116,1),(118,1),(121,1),(163,1),(174,1),(175,1),(176,1),(213,1)}
       147:{1,2,6}:{(117,1),(119,1),(175,1)}
       148:{1,2,5,7}:{(118,1),(120,1),(122,1),(176,1),(177,1)}
       149:{2,3,6,7}:{(119,1),(120,1),(168,1),(177,1),(211,1)}
       150:{1,3,7}:{(121,1),(122,1)}
       151:{2,3,4}:{(123,1),(178,1)}
       152:{1,2,4,5}:{(123,1),(124,1),(127,1),(178,1),(179,1),(181,1)}
       153:{1,3,4,6}:{(124,1),(129,1),(179,1),(180,1),(188,1)}
       154:{2,3,4,7}:{(125,1),(126,1),(130,1),(182,1),(215,1),(217,1)}
       155:{2,3,5}:{(125,1),(127,1),(131,1),(181,1)}
       156:{1,2,5,7}:{(126,1),(127,1),(128,1),(182,1),(184,1)}
       157:{1,2,5,6}:{(127,1),(129,1),(179,1),(183,1),(184,1),(185,1)}
       158:{1,3,6}:{(128,1),(139,1),(184,1),(190,1)}
       159:{1,3,5,7}:{(129,1),(140,1),(180,1),(185,1),(186,1),(191,1)}
       160:{3,4,5}:{(131,1),(144,1),(181,1),(188,1)}
       161:{3,4,6,7}:{(130,1),(132,1),(189,1),(190,1),(221,1)}
       162:{3,5,7}:{(130,1),(131,1),(133,1),(190,1)}
       163:{3,5,6}:{(131,1),(134,1),(188,1),(190,1),(191,1)}
       164:{1,2,5,7}:{(132,1),(135,1),(138,1),(189,1),(192,1),(223,1),(229,1)}
       165:{1,2,4,6}:{(133,1),(136,1),(139,1),(147,1),(184,1),(190,1),(192,1),(197,1),(216,1),(221,1)}
       166:{1,2,4,5,7}:{(134,1),(137,1),(140,1),(148,1),(185,1),(191,1),(193,1),(198,1),(217,1),(223,1),(229,1),(230,1)}
       167:{2,5,6}:{(135,1),(136,1),(142,1)}
       168:{2,4,6,7}:{(136,1),(137,1),(143,1),(149,1),(194,1)}
       169:{1,5,6}:{(138,1),(139,1),(142,1)}
       170:{1,4,6,7}:{(139,1),(140,1),(143,1),(186,1),(195,1)}
       171:{4,5,6}:{(141,1),(142,1),(221,1)}
       172:{3,5,6,7}:{(142,1),(143,1),(194,1),(195,1),(196,1)}
       173:{1,4,5,7}:{(144,1),(145,1),(187,1),(197,1),(198,1),(223,1)}
       174:{1,4,6}:{(144,1),(146,1),(188,1),(198,1)}
       175:{1,3,6}:{(145,1),(147,1),(190,1),(197,1)}
       176:{1,3,5,7}:{(146,1),(148,1),(150,1),(191,1),(198,1),(199,1),(223,1)}
       177:{1,2,6,7}:{(147,1),(148,1),(149,1),(199,1)}
       178:{2,3,5}:{(151,1),(152,1),(200,1)}
       179:{1,2,4,6}:{(152,1),(153,1),(157,1),(200,1),(201,1),(203,1)}
       180:{1,3,4,7}:{(153,1),(159,1),(201,1),(208,1)}
       181:{2,4,5}:{(155,1),(160,1),(203,1)}
       182:{2,3,5,7}:{(154,1),(155,1),(156,1),(162,1),(202,1),(204,1)}
       183:{2,3,5,6}:{(155,1),(157,1),(163,1),(200,1),(203,1),(204,1),(205,1),(224,1)}
       184:{1,2,6}:{(156,1),(158,1),(204,1)}
       185:{1,2,5,7}:{(157,1),(159,1),(201,1),(205,1),(206,1)}
       186:{1,3,6,7}:{(158,1),(159,1),(170,1),(206,1),(211,1)}
       187:{3,4,5,7}:{(160,1),(162,1),(173,1),(202,1),(207,1),(208,1),(209,1),(227,1)}
       188:{3,4,6}:{(160,1),(163,1),(174,1),(203,1),(208,1)}
       189:{3,5,7}:{(161,1),(164,1),(209,1),(210,1)}
       190:{3,6}:{(162,1),(165,1)}
       191:{3,5,7}:{(163,1),(166,1),(208,1),(211,1)}
       192:{1,2,5,6}:{(164,1),(165,1),(167,1),(169,1),(210,1),(213,1),(224,1)}
       193:{1,2,4,6,7}:{(165,1),(166,1),(168,1),(170,1),(177,1),(206,1),(211,1),(212,1),(214,1),(225,1),(228,1)}
       194:{2,5,6,7}:{(167,1),(168,1),(172,1)}
       195:{1,5,6,7}:{(169,1),(170,1),(172,1)}
       196:{4,5,6,7}:{(171,1),(172,1),(228,1)}
       197:{1,4,6}:{(173,1),(175,1),(207,1),(213,1)}
       198:{1,4,7}:{(174,1),(176,1),(208,1)}
       199:{1,3,6,7}:{(175,1),(176,1),(177,1),(211,1),(214,1)}
       200:{2,3,6}:{(178,1),(179,1),(215,1)}
       201:{1,2,4,7}:{(179,1),(180,1),(185,1),(215,1),(217,1)}
       202:{2,4,5,7}:{(181,1),(182,1),(187,1),(216,1),(217,1),(229,1)}
       203:{2,4,6}:{(181,1),(183,1),(188,1),(217,1)}
       204:{2,3,6}:{(182,1),(184,1),(190,1),(216,1)}
       205:{2,3,5,7}:{(183,1),(185,1),(191,1),(215,1),(217,1),(218,1),(229,1)}
       206:{1,2,6,7}:{(184,1),(185,1),(186,1),(218,1)}
       207:{3,4,6}:{(187,1),(190,1),(197,1),(216,1),(219,1),(221,1)}
       208:{3,4,7}:{(188,1),(191,1),(198,1),(217,1)}
       209:{4,5,7}:{(189,1),(221,1)}
       210:{3,5,6}:{(189,1),(190,1),(192,1),(221,1)}
       211:{3,6,7}:{(190,1),(191,1),(193,1)}
       212:{1,2,5,6,7}:{(192,1),(193,1),(194,1),(195,1),(222,1),(223,1),(229,1)}
       213:{1,5,6}:{(197,1),(219,1),(223,1)}
       214:{1,4,6,7}:{(197,1),(198,1),(199,1),(220,1),(223,1)}
       215:{2,3,7}:{(200,1),(201,1)}
       216:{2,4,6}:{(202,1),(204,1),(207,1),(224,1)}
       217:{2,4,7}:{(203,1),(205,1),(208,1)}
       218:{2,3,6,7}:{(204,1),(205,1),(206,1),(211,1),(225,1)}
       219:{3,5,6}:{(207,1),(213,1),(224,1),(226,1),(227,1)}
       220:{3,4,6,7}:{(207,1),(208,1),(211,1),(214,1),(225,1),(227,1),(228,1)}
       221:{4,6}:{(209,1),(210,1)}
       222:{3,5,6,7}:{(210,1),(211,1),(212,1),(227,1),(228,1)}
       223:{1,5,7}:{(213,1),(214,1),(227,1)}
       224:{2,5,6}:{(216,1),(219,1),(229,1)}
       225:{2,4,6,7}:{(216,1),(217,1),(218,1),(220,1),(229,1)}
       226:{4,5,6}:{(219,1),(221,1),(230,1)}
       227:{3,5,7}:{(219,1),(220,1),(223,1),(229,1),(230,1)}
       228:{4,6,7}:{(221,1),(222,1),(230,1)}
       229:{2,5,7}:{(224,1),(225,1),(227,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

 955 :   0:{1,4,5,6,7}:{(1,1),(8,1),(194,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(4,1),(202,1)}
         2:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(31,1),(192,1)}
         3:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(26,1),(31,1),(160,1)}
         4:{2,5,6,7}:{(1,1),(9,1),(206,1)}
         5:{3,4,5,6}:{(7,1),(11,1),(12,1),(36,1),(165,1),(192,1)}
         6:{1,3,4,5,7}:{(13,1),(14,1),(26,1),(61,1),(71,1),(74,1),(106,1),(120,1),(155,1),(159,1)}
         7:{3,4,5,7}:{(2,1),(5,1),(15,1),(16,1),(44,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(179,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(18,1),(200,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(19,1),(20,1),(42,1),(85,1),(135,1)}
        11:{1,4,5,6}:{(5,1),(15,1),(21,1),(145,1),(179,1)}
        12:{2,4,5,6}:{(5,1),(16,1),(22,1),(181,1),(200,1)}
        13:{1,3,4,6}:{(6,1),(21,1),(24,1),(52,1),(132,1),(177,1),(179,1)}
        14:{1,2,4,5,7}:{(6,1),(24,1),(25,1),(42,1),(55,1),(80,1),(91,1),(95,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(11,1),(26,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(12,1),(27,1)}
        17:{1,3,4,6,7}:{(8,1),(13,1),(26,1),(29,1),(31,1),(61,1),(64,1)}
        18:{2,3,6,7}:{(9,1),(27,1),(30,1),(31,1),(190,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(28,1),(30,1),(31,1),(32,1),(64,1),(156,1)}
        20:{2,3,5,6,7}:{(10,1),(31,1),(32,1),(59,1),(65,1),(110,1)}
        21:{1,3,5,6}:{(11,1),(13,1),(26,1),(34,1),(36,1),(111,1),(120,1)}
        22:{2,3,5,6}:{(12,1),(27,1),(33,1),(35,1),(36,1),(162,1),(190,1)}
        23:{1,2,4,5,6}:{(11,1),(12,1),(28,1),(34,1),(35,1),(36,1),(66,1),(69,1),(70,1),(111,1),(116,1),(156,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(34,1),(37,1),(69,1)}
        25:{2,3,5,7}:{(14,1),(37,1),(39,1),(73,1),(155,1)}
        26:{1,3,5,7}:{(15,1),(17,1),(21,1),(42,1),(44,1),(85,1)}
        27:{2,3,5,7}:{(16,1),(18,1),(22,1),(41,1),(43,1),(44,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(19,1),(23,1),(42,1),(43,1),(44,1),(48,1),(80,1),(81,1),(85,1)}
        29:{1,2,4,6,7}:{(17,1),(24,1),(42,1),(45,1),(80,1)}
        30:{1,2,6,7}:{(18,1),(43,1),(46,1),(174,1)}
        31:{3,6,7}:{(19,1),(44,1),(177,1)}
        32:{2,4,6,7}:{(20,1),(47,1),(48,1),(80,1),(131,1)}
        33:{2,3,4,6}:{(22,1),(40,1),(41,1),(49,1),(52,1)}
        34:{1,2,5,6}:{(21,1),(24,1),(42,1),(50,1),(95,1)}
        35:{1,2,5,6}:{(22,1),(43,1),(49,1),(51,1),(139,1),(174,1)}
        36:{3,5,6}:{(23,1),(44,1),(52,1),(141,1),(177,1)}
        37:{2,3,6}:{(24,1),(25,1),(177,1)}
        38:{1,2,3,5,7}:{(25,1),(53,1),(55,1),(95,1),(97,1)}
        39:{2,3,4,7}:{(25,1),(54,1),(55,1),(80,1),(129,1)}
        40:{2,3,4,5}:{(33,1),(57,1),(71,1),(149,1),(162,1)}
        41:{2,3,4,7}:{(27,1),(33,1),(58,1),(61,1)}
        42:{1,2,5,7}:{(26,1),(29,1),(34,1),(59,1)}
        43:{1,2,5,7}:{(27,1),(30,1),(35,1),(58,1),(60,1)}
        44:{3,5,7}:{(28,1),(31,1),(36,1),(61,1)}
        45:{2,3,6,7}:{(29,1),(31,1),(37,1),(59,1)}
        46:{1,3,6,7}:{(30,1),(31,1),(60,1),(64,1),(154,1)}
        47:{3,4,6,7}:{(31,1),(32,1),(61,1),(64,1),(65,1),(107,1)}
        48:{2,4,5,7}:{(32,1),(65,1),(66,1)}
        49:{1,2,4,6}:{(33,1),(35,1),(57,1),(58,1),(67,1),(70,1)}
        50:{2,3,5,6}:{(34,1),(36,1),(37,1),(59,1),(69,1),(73,1)}
        51:{1,3,5,6}:{(35,1),(36,1),(60,1),(67,1),(70,1),(111,1),(114,1),(154,1)}
        52:{3,4,6}:{(36,1),(61,1),(69,1),(70,1),(71,1)}
        53:{1,2,3,6}:{(37,1),(38,1),(72,1),(123,1)}
        54:{2,3,4,6}:{(37,1),(39,1),(69,1),(72,1),(73,1),(115,1)}
        55:{1,2,4,7}:{(38,1),(39,1),(72,1),(74,1)}
        56:{2,3,4,5,7}:{(39,1),(73,1),(75,1),(76,1),(105,1),(122,1),(155,1),(165,1),(189,1),(198,1)}
        57:{1,2,4,5}:{(40,1),(49,1),(77,1),(92,1),(125,1),(139,1)}
        58:{1,2,4,7}:{(41,1),(43,1),(49,1),(78,1),(81,1)}
        59:{2,3,5,7}:{(42,1),(44,1),(45,1),(50,1),(80,1)}
        60:{1,3,5,7}:{(43,1),(44,1),(46,1),(51,1),(78,1),(81,1),(85,1)}
        61:{3,4,7}:{(44,1),(52,1),(80,1),(81,1)}
        62:{1,2,3,6,7}:{(45,1),(46,1),(53,1),(79,1),(83,1),(148,1),(174,1),(177,1),(201,1)}
        63:{2,3,4,6,7}:{(45,1),(47,1),(54,1),(80,1),(83,1),(84,1),(129,1),(131,1),(177,1)}
        64:{1,4,6,7}:{(46,1),(47,1),(81,1),(85,1),(132,1)}
        65:{3,5,7}:{(47,1),(48,1),(85,1),(86,1)}
        66:{2,4,5,6}:{(48,1),(86,1),(131,1)}
        67:{1,3,6}:{(49,1),(77,1),(78,1)}
        68:{1,2,3,5,6}:{(50,1),(51,1),(53,1),(79,1),(88,1),(90,1),(95,1),(135,1),(139,1),(141,1),(146,1),(174,1),(177,1),(182,1)}
        69:{2,4,6}:{(50,1),(52,1),(80,1),(91,1)}
        70:{1,4,6}:{(51,1),(52,1),(81,1),(92,1)}
        71:{3,4,5}:{(52,1),(91,1),(92,1),(141,1)}
        72:{1,2,4,6}:{(53,1),(54,1),(55,1),(94,1),(95,1)}
        73:{2,3,5}:{(54,1),(91,1),(95,1),(141,1)}
        74:{1,3,4,7}:{(55,1),(94,1),(97,1),(129,1),(186,1)}
        75:{1,2,4,5,7}:{(55,1),(56,1),(95,1),(97,1),(98,1),(145,1),(147,1),(186,1)}
        76:{2,3,4,6}:{(56,1),(96,1),(98,1),(131,1),(177,1),(184,1),(200,1)}
        77:{1,3,5}:{(57,1),(67,1),(101,1)}
        78:{1,3,7}:{(58,1),(67,1)}
        79:{1,2,3,5,7}:{(59,1),(60,1),(62,1),(68,1),(102,1),(104,1),(109,1),(153,1),(155,1),(169,1),(197,1)}
        80:{2,4,7}:{(59,1),(61,1),(69,1)}
        81:{1,4,7}:{(60,1),(61,1),(70,1)}
        82:{3,4,5,7}:{(61,1),(65,1),(71,1),(105,1),(106,1),(107,1),(155,1)}
        83:{1,2,4,6,7}:{(62,1),(63,1),(64,1),(72,1),(104,1),(108,1),(109,1),(156,1),(207,1)}
        84:{2,3,5,7}:{(63,1),(65,1),(73,1),(105,1),(109,1),(110,1),(155,1)}
        85:{1,5,7}:{(64,1),(65,1),(111,1)}
        86:{3,5,6}:{(65,1),(66,1),(107,1),(111,1)}
        87:{2,4,5,6,7}:{(66,1),(112,1),(157,1)}
        88:{1,2,3,6}:{(67,1),(100,1),(102,1),(113,1),(187,1)}
        89:{1,3,4,6}:{(67,1),(70,1),(101,1),(103,1),(113,1),(114,1),(115,1),(154,1)}
        90:{1,2,4,6}:{(68,1),(69,1),(70,1),(104,1),(115,1),(116,1),(168,1),(196,1)}
        91:{2,4,5}:{(69,1),(71,1),(73,1)}
        92:{1,4,5}:{(70,1),(71,1),(114,1)}
        93:{3,4,5,6}:{(71,1),(107,1),(117,1),(118,1),(119,1),(166,1)}
        94:{1,3,4,6}:{(72,1),(74,1),(115,1),(120,1),(123,1),(168,1)}
        95:{1,2,5}:{(72,1),(73,1),(120,1)}
        96:{2,3,5,6}:{(73,1),(76,1),(117,1),(121,1),(122,1),(166,1),(206,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(120,1),(123,1),(155,1)}
        98:{1,2,4,6}:{(75,1),(76,1),(121,1),(123,1),(168,1)}
        99:{2,3,4,6,7}:{(76,1),(122,1),(124,1),(157,1),(193,1),(198,1),(207,1)}
       100:{1,2,3,5}:{(77,1),(88,1),(125,1),(139,1),(170,1)}
       101:{1,3,4}:{(77,1),(125,1)}
       102:{1,2,3,7}:{(78,1),(88,1),(127,1),(199,1)}
       103:{1,3,4,7}:{(78,1),(81,1),(89,1),(127,1),(128,1),(129,1)}
       104:{1,2,4,7}:{(79,1),(80,1),(81,1),(90,1),(129,1),(186,1),(205,1)}
       105:{2,4,5,7}:{(80,1),(82,1),(84,1),(91,1),(131,1)}
       106:{1,4,5,7}:{(81,1),(82,1),(85,1),(92,1),(128,1),(132,1)}
       107:{3,4,6}:{(82,1),(86,1),(131,1),(132,1),(177,1)}
       108:{1,3,4,6,7}:{(83,1),(94,1),(129,1),(134,1),(148,1),(177,1),(179,1),(186,1),(203,1)}
       109:{1,2,5,7}:{(83,1),(84,1),(85,1),(95,1),(134,1),(135,1),(209,1)}
       110:{2,3,5,6}:{(84,1),(86,1),(131,1),(135,1),(177,1)}
       111:{1,5,6}:{(85,1),(86,1),(132,1)}
       112:{3,5,6,7}:{(86,1),(87,1),(133,1),(137,1)}
       113:{1,2,4,6}:{(88,1),(89,1),(125,1),(127,1),(138,1),(139,1),(174,1)}
       114:{1,3,5}:{(89,1),(92,1),(139,1),(141,1)}
       115:{3,4,6}:{(90,1),(129,1),(141,1),(177,1)}
       116:{1,2,4,5}:{(90,1),(91,1),(92,1),(95,1),(139,1),(141,1),(145,1),(181,1)}
       117:{2,4,5,6}:{(91,1),(93,1),(96,1),(131,1),(143,1)}
       118:{1,4,5,6}:{(92,1),(93,1),(132,1),(140,1),(144,1)}
       119:{3,4,5,7}:{(93,1),(133,1),(143,1),(144,1),(185,1)}
       120:{1,3,5}:{(94,1),(95,1),(141,1),(145,1)}
       121:{1,2,5,6}:{(95,1),(96,1),(98,1),(146,1),(147,1)}
       122:{2,3,5,7}:{(96,1),(99,1),(143,1),(147,1),(185,1),(209,1)}
       123:{1,3,6}:{(97,1),(98,1),(177,1)}
       124:{1,2,4,6,7}:{(98,1),(99,1),(147,1),(148,1),(186,1)}
       125:{1,2,4}:{(100,1),(101,1),(149,1)}
       126:{1,3,4,5}:{(101,1),(114,1),(150,1),(151,1),(165,1)}
       127:{1,2,4,7}:{(102,1),(103,1),(113,1),(152,1),(153,1)}
       128:{1,3,5,7}:{(103,1),(106,1),(114,1),(153,1),(154,1),(155,1)}
       129:{3,4,7}:{(104,1),(115,1),(155,1)}
       130:{1,2,4,5,7}:{(104,1),(105,1),(106,1),(109,1),(116,1),(153,1),(155,1),(156,1),(159,1),(189,1)}
       131:{2,4,6}:{(105,1),(107,1),(110,1)}
       132:{1,4,6}:{(106,1),(107,1),(111,1),(154,1)}
       133:{3,4,6,7}:{(107,1),(112,1),(119,1),(157,1),(158,1),(193,1)}
       134:{1,3,5,7}:{(108,1),(109,1),(120,1),(155,1),(159,1),(160,1),(208,1)}
       135:{1,2,5,6}:{(109,1),(110,1),(111,1),(156,1),(160,1),(206,1)}
       136:{2,3,5,6,7}:{(110,1),(112,1),(122,1),(157,1),(161,1),(193,1)}
       137:{1,5,6,7}:{(111,1),(112,1),(158,1)}
       138:{2,3,4,6}:{(113,1),(115,1),(149,1),(152,1),(162,1),(187,1),(190,1),(196,1)}
       139:{1,2,5}:{(113,1),(114,1),(162,1)}
       140:{1,3,5,6}:{(114,1),(118,1),(151,1),(154,1),(163,1),(164,1),(166,1)}
       141:{3,5}:{(115,1),(116,1)}
       142:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(121,1),(156,1),(163,1),(166,1),(167,1),(168,1),(194,1),(196,1),(206,1)}
       143:{2,4,5,7}:{(117,1),(119,1),(122,1),(157,1)}
       144:{1,4,5,7}:{(118,1),(119,1),(158,1),(164,1)}
       145:{1,4,5}:{(120,1),(165,1),(168,1)}
       146:{1,3,5,6}:{(120,1),(121,1),(123,1),(166,1),(168,1),(169,1)}
       147:{1,2,5,7}:{(121,1),(122,1),(124,1),(169,1)}
       148:{1,3,6,7}:{(123,1),(124,1),(169,1),(193,1)}
       149:{2,3,4}:{(125,1),(170,1)}
       150:{1,2,4,5}:{(125,1),(126,1),(139,1),(170,1),(171,1),(181,1)}
       151:{1,3,4,6}:{(126,1),(140,1),(171,1),(172,1),(184,1)}
       152:{2,3,4,7}:{(127,1),(129,1),(138,1),(173,1),(199,1),(205,1)}
       153:{1,2,5,7}:{(127,1),(128,1),(139,1),(173,1),(174,1)}
       154:{1,3,6}:{(128,1),(132,1),(174,1),(177,1)}
       155:{3,5,7}:{(129,1),(130,1),(141,1),(177,1)}
       156:{1,2,4,6}:{(130,1),(131,1),(132,1),(135,1),(174,1),(177,1),(179,1),(200,1)}
       157:{2,4,6,7}:{(131,1),(133,1),(136,1),(143,1)}
       158:{1,4,6,7}:{(132,1),(133,1),(137,1),(144,1),(175,1)}
       159:{1,4,5,7}:{(134,1),(145,1),(176,1),(179,1),(186,1)}
       160:{1,3,5,6}:{(134,1),(135,1),(177,1),(179,1),(202,1)}
       161:{1,2,5,6,7}:{(135,1),(136,1),(137,1),(147,1),(178,1),(180,1),(209,1)}
       162:{2,3,5}:{(138,1),(139,1),(141,1),(181,1)}
       163:{1,2,5,6}:{(139,1),(140,1),(171,1),(174,1),(182,1),(183,1)}
       164:{1,3,5,7}:{(140,1),(144,1),(172,1),(175,1),(183,1),(185,1)}
       165:{3,4,5}:{(141,1),(145,1),(181,1),(184,1)}
       166:{3,5,6}:{(141,1),(142,1),(177,1),(184,1),(185,1)}
       167:{1,2,4,5,7}:{(142,1),(143,1),(144,1),(147,1),(178,1),(183,1),(185,1),(186,1),(204,1),(205,1),(209,1)}
       168:{1,4,6}:{(145,1),(146,1),(184,1),(186,1)}
       169:{1,3,5,7}:{(146,1),(147,1),(148,1),(185,1),(186,1)}
       170:{2,3,5}:{(149,1),(150,1),(187,1)}
       171:{1,2,4,6}:{(150,1),(151,1),(163,1),(187,1),(188,1),(196,1)}
       172:{1,3,4,7}:{(151,1),(164,1),(188,1),(198,1)}
       173:{2,3,5,7}:{(152,1),(153,1),(155,1),(162,1),(189,1),(190,1)}
       174:{1,2,6}:{(153,1),(154,1),(190,1)}
       175:{1,3,6,7}:{(154,1),(158,1),(164,1),(191,1),(193,1)}
       176:{3,4,5,7}:{(155,1),(159,1),(165,1),(189,1),(192,1),(198,1),(208,1)}
       177:{3,6}:{(155,1),(156,1)}
       178:{1,2,4,6,7}:{(156,1),(157,1),(158,1),(161,1),(167,1),(191,1),(193,1),(195,1),(207,1)}
       179:{1,4,6}:{(159,1),(160,1),(192,1)}
       180:{1,3,5,6,7}:{(160,1),(161,1),(169,1),(193,1),(195,1),(208,1)}
       181:{2,4,5}:{(162,1),(165,1),(196,1)}
       182:{2,3,5,6}:{(162,1),(163,1),(166,1),(187,1),(190,1),(196,1),(197,1),(206,1)}
       183:{1,2,5,7}:{(163,1),(164,1),(188,1),(191,1),(197,1)}
       184:{3,4,6}:{(165,1),(166,1),(168,1),(196,1),(198,1)}
       185:{3,5,7}:{(166,1),(167,1),(193,1),(198,1)}
       186:{1,4,7}:{(168,1),(169,1),(198,1)}
       187:{2,3,6}:{(170,1),(171,1),(199,1)}
       188:{1,2,4,7}:{(171,1),(172,1),(183,1),(199,1),(205,1)}
       189:{2,4,5,7}:{(173,1),(176,1),(181,1),(200,1),(205,1),(209,1)}
       190:{2,3,6}:{(173,1),(174,1),(177,1),(200,1)}
       191:{1,2,6,7}:{(174,1),(175,1),(183,1),(201,1)}
       192:{3,4,6}:{(176,1),(177,1),(179,1),(200,1),(202,1)}
       193:{3,6,7}:{(177,1),(178,1),(185,1)}
       194:{1,4,5,6}:{(179,1),(202,1),(204,1)}
       195:{1,4,6,7}:{(179,1),(180,1),(186,1),(203,1),(204,1)}
       196:{2,4,6}:{(181,1),(182,1),(184,1),(205,1)}
       197:{2,3,5,7}:{(182,1),(183,1),(185,1),(199,1),(201,1),(205,1),(209,1)}
       198:{3,4,7}:{(184,1),(185,1),(186,1),(205,1)}
       199:{2,3,7}:{(187,1),(188,1)}
       200:{2,4,6}:{(189,1),(190,1),(192,1),(206,1)}
       201:{2,3,6,7}:{(190,1),(191,1),(193,1),(197,1),(207,1)}
       202:{3,5,6}:{(192,1),(194,1),(206,1),(208,1)}
       203:{3,4,6,7}:{(192,1),(193,1),(195,1),(198,1),(207,1),(208,1)}
       204:{1,4,5,7}:{(194,1),(195,1),(208,1)}
       205:{2,4,7}:{(196,1),(197,1),(198,1)}
       206:{2,5,6}:{(200,1),(202,1),(209,1)}
       207:{2,4,6,7}:{(200,1),(201,1),(203,1),(205,1),(209,1)}
       208:{3,5,7}:{(202,1),(203,1),(204,1),(209,1)}
       209:{2,5,7}:{(206,1),(207,1),(208,1)}

 956 :   0:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(34,1),(72,1),(76,1),(83,1),(119,1),(122,1),(127,1)}
         1:{1,2,4,5,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(50,1),(56,1),(60,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(6,1),(61,1),(145,1),(148,1),(153,1)}
         3:{1,3,4,6,7}:{(2,1),(7,1),(8,1),(27,1),(65,1),(72,1),(116,1)}
         4:{2,3,5,7}:{(1,1),(10,1),(11,1),(39,1),(122,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(40,1)}
         6:{1,3,5,6}:{(2,1),(8,1),(12,1),(13,1),(41,1),(76,1),(167,1)}
         7:{1,2,4,6,7}:{(3,1),(5,1),(16,1),(17,1),(50,1)}
         8:{1,3,5,7}:{(3,1),(6,1),(17,1),(18,1),(51,1),(143,1)}
         9:{1,2,3,5,7}:{(4,1),(19,1),(20,1),(53,1),(56,1)}
        10:{2,3,4,7}:{(4,1),(19,1),(22,1),(50,1),(94,1)}
        11:{2,3,6}:{(4,1),(5,1),(148,1)}
        12:{1,2,5,6}:{(5,1),(6,1),(17,1),(23,1),(56,1)}
        13:{1,4,5,6}:{(6,1),(18,1),(25,1),(103,1),(145,1)}
        14:{1,3,5,6,7}:{(8,1),(26,1),(27,1),(28,1),(65,1),(118,1)}
        15:{1,4,5,6,7}:{(27,1),(28,1),(168,1)}
        16:{2,3,6,7}:{(7,1),(11,1),(31,1),(65,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(12,1),(31,1)}
        18:{1,4,5,7}:{(8,1),(13,1),(27,1),(33,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(34,1),(36,1)}
        20:{1,2,3,6}:{(9,1),(11,1),(36,1),(75,1)}
        21:{2,3,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(71,1),(81,1),(122,1),(131,1),(171,1),(178,1)}
        22:{2,3,4,6}:{(10,1),(11,1),(36,1),(39,1),(40,1),(80,1)}
        23:{2,3,5,6}:{(11,1),(12,1),(31,1),(39,1),(40,1),(41,1)}
        24:{1,2,4,5,6}:{(12,1),(13,1),(32,1),(40,1),(41,1),(42,1),(79,1),(84,1),(86,1),(114,1),(121,1),(167,1)}
        25:{3,4,5,6}:{(13,1),(33,1),(41,1),(42,1),(131,1),(170,1)}
        26:{1,2,5,6,7}:{(14,1),(17,1),(43,1),(44,1),(46,1),(92,1),(143,1)}
        27:{1,4,6,7}:{(14,1),(18,1),(45,1),(145,1)}
        28:{3,5,6,7}:{(15,1),(45,1),(46,1),(189,1)}
        29:{1,2,3,6,7}:{(16,1),(20,1),(47,1),(48,1),(89,1),(101,1),(148,1),(193,1),(194,1)}
        30:{2,3,4,6,7}:{(16,1),(22,1),(47,1),(49,1),(50,1),(88,1),(94,1),(96,1),(148,1)}
        31:{2,3,5,7}:{(16,1),(17,1),(23,1),(50,1),(51,1)}
        32:{1,2,4,5,7}:{(17,1),(18,1),(24,1),(44,1),(50,1),(51,1),(52,1),(87,1),(98,1),(100,1),(143,1)}
        33:{3,4,5,7}:{(18,1),(25,1),(45,1),(51,1),(52,1)}
        34:{1,3,4,7}:{(19,1),(53,1),(54,1),(94,1),(155,1)}
        35:{1,2,4,5,7}:{(19,1),(21,1),(53,1),(55,1),(56,1),(103,1),(104,1),(155,1)}
        36:{1,2,4,6}:{(19,1),(20,1),(22,1),(54,1),(56,1)}
        37:{1,2,3,5,6}:{(20,1),(23,1),(48,1),(56,1),(57,1),(62,1),(92,1),(102,1),(106,1),(148,1),(161,1),(162,1),(163,1),(194,1)}
        38:{2,3,4,6}:{(21,1),(55,1),(59,1),(96,1),(148,1),(156,1),(191,1)}
        39:{2,3,5}:{(22,1),(56,1),(60,1),(106,1)}
        40:{2,4,6}:{(23,1),(50,1),(60,1),(61,1)}
        41:{3,5,6}:{(24,1),(51,1),(61,1),(106,1),(148,1)}
        42:{2,4,5,6}:{(25,1),(52,1),(63,1),(158,1),(191,1)}
        43:{2,3,5,6,7}:{(26,1),(31,1),(64,1),(65,1),(70,1),(115,1)}
        44:{1,2,4,6,7}:{(26,1),(27,1),(32,1),(64,1),(65,1),(66,1),(116,1),(117,1),(121,1)}
        45:{3,4,6,7}:{(27,1),(28,1),(33,1),(65,1),(66,1),(170,1)}
        46:{2,5,6,7}:{(28,1),(66,1),(202,1)}
        47:{1,2,4,6,7}:{(29,1),(30,1),(36,1),(67,1),(68,1),(69,1),(116,1),(121,1),(203,1)}
        48:{1,2,3,5,7}:{(29,1),(31,1),(37,1),(68,1),(69,1),(73,1),(122,1),(129,1),(175,1),(176,1),(183,1)}
        49:{2,3,5,7}:{(30,1),(39,1),(68,1),(70,1),(71,1),(115,1),(122,1)}
        50:{2,4,7}:{(31,1),(40,1),(72,1)}
        51:{3,5,7}:{(32,1),(41,1),(65,1),(72,1)}
        52:{2,4,5,7}:{(33,1),(42,1),(66,1),(74,1)}
        53:{1,3,5,7}:{(34,1),(35,1),(75,1),(76,1),(122,1)}
        54:{1,3,4,6}:{(34,1),(36,1),(75,1),(76,1),(80,1),(130,1)}
        55:{1,2,4,6}:{(35,1),(38,1),(75,1),(78,1),(130,1)}
        56:{1,2,5}:{(36,1),(39,1),(76,1)}
        57:{1,2,4,6}:{(37,1),(40,1),(69,1),(79,1),(80,1),(84,1),(130,1),(180,1)}
        58:{2,3,4,6,7}:{(38,1),(77,1),(81,1),(125,1),(172,1),(178,1),(203,1)}
        59:{2,3,5,6}:{(38,1),(39,1),(78,1),(81,1),(82,1),(133,1),(202,1)}
        60:{2,4,5}:{(39,1),(40,1),(83,1)}
        61:{3,4,6}:{(40,1),(41,1),(72,1),(83,1),(84,1)}
        62:{1,3,5,6}:{(41,1),(73,1),(84,1),(86,1),(134,1),(140,1),(167,1),(173,1)}
        63:{2,3,5,6}:{(41,1),(42,1),(74,1),(85,1),(86,1),(135,1),(174,1)}
        64:{2,4,6,7}:{(43,1),(50,1),(87,1),(88,1),(96,1)}
        65:{3,6,7}:{(44,1),(51,1),(148,1)}
        66:{2,4,6,7}:{(45,1),(46,1),(52,1),(90,1),(191,1)}
        67:{1,3,4,6,7}:{(47,1),(54,1),(91,1),(94,1),(101,1),(145,1),(148,1),(155,1),(190,1)}
        68:{1,2,5,7}:{(47,1),(49,1),(56,1),(91,1),(92,1),(143,1),(208,1)}
        69:{1,2,4,7}:{(48,1),(50,1),(57,1),(94,1),(98,1),(155,1),(196,1)}
        70:{2,3,5,6}:{(49,1),(92,1),(96,1),(142,1),(148,1)}
        71:{2,4,5,7}:{(49,1),(50,1),(60,1),(96,1),(97,1)}
        72:{3,4,7}:{(50,1),(51,1),(61,1),(98,1)}
        73:{1,3,5,7}:{(51,1),(62,1),(89,1),(98,1),(100,1),(143,1),(154,1)}
        74:{2,3,5,7}:{(51,1),(52,1),(63,1),(90,1),(99,1),(100,1)}
        75:{1,3,6}:{(53,1),(55,1),(148,1)}
        76:{1,3,5}:{(54,1),(56,1),(103,1),(106,1)}
        77:{1,2,4,6,7}:{(55,1),(58,1),(101,1),(104,1),(155,1)}
        78:{1,2,5,6}:{(55,1),(56,1),(59,1),(102,1),(104,1)}
        79:{1,2,4,5}:{(56,1),(57,1),(60,1),(103,1),(106,1),(111,1),(158,1),(162,1)}
        80:{3,4,6}:{(57,1),(94,1),(106,1),(148,1)}
        81:{2,3,5,7}:{(58,1),(59,1),(104,1),(109,1),(159,1),(208,1)}
        82:{2,4,5,6}:{(59,1),(60,1),(96,1),(109,1),(110,1)}
        83:{3,4,5}:{(60,1),(61,1),(106,1),(111,1)}
        84:{1,4,6}:{(61,1),(62,1),(98,1),(111,1)}
        85:{2,3,4,6}:{(61,1),(63,1),(99,1),(112,1),(113,1)}
        86:{1,2,5,6}:{(62,1),(63,1),(100,1),(113,1),(162,1),(194,1)}
        87:{2,4,5,7}:{(64,1),(114,1),(115,1)}
        88:{3,4,6,7}:{(64,1),(65,1),(72,1),(115,1),(116,1),(126,1)}
        89:{1,3,6,7}:{(65,1),(73,1),(116,1),(117,1),(173,1)}
        90:{2,3,6,7}:{(65,1),(66,1),(74,1),(117,1),(174,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(76,1),(118,1),(119,1),(122,1),(201,1)}
        92:{1,2,5,6}:{(68,1),(70,1),(118,1),(121,1),(167,1),(202,1)}
        93:{1,2,4,5,7}:{(68,1),(69,1),(71,1),(79,1),(119,1),(121,1),(122,1),(127,1),(171,1),(175,1)}
        94:{3,4,7}:{(69,1),(80,1),(122,1)}
        95:{2,3,5,6,7}:{(70,1),(81,1),(120,1),(125,1),(166,1),(172,1)}
        96:{2,4,6}:{(70,1),(71,1),(126,1)}
        97:{3,4,5,7}:{(71,1),(72,1),(83,1),(115,1),(122,1),(126,1),(127,1)}
        98:{1,4,7}:{(72,1),(73,1),(84,1)}
        99:{2,3,4,7}:{(72,1),(74,1),(85,1),(128,1)}
       100:{1,2,5,7}:{(73,1),(74,1),(86,1),(117,1),(128,1)}
       101:{1,3,6,7}:{(75,1),(77,1),(129,1),(172,1)}
       102:{1,3,5,6}:{(75,1),(76,1),(78,1),(129,1),(130,1),(133,1)}
       103:{1,4,5}:{(76,1),(130,1),(131,1)}
       104:{1,2,5,7}:{(77,1),(78,1),(81,1),(129,1)}
       105:{1,2,4,5,6}:{(78,1),(79,1),(82,1),(121,1),(130,1),(132,1),(133,1),(138,1),(168,1),(180,1),(184,1),(202,1)}
       106:{3,5}:{(79,1),(80,1)}
       107:{1,3,4,6}:{(80,1),(84,1),(123,1),(134,1),(136,1),(140,1),(173,1),(186,1)}
       108:{2,3,4,6}:{(80,1),(124,1),(135,1),(136,1),(174,1),(180,1),(206,1),(207,1)}
       109:{2,4,5,7}:{(81,1),(82,1),(125,1),(137,1)}
       110:{3,4,5,6}:{(82,1),(83,1),(126,1),(133,1),(137,1),(138,1)}
       111:{1,4,5}:{(83,1),(84,1),(134,1)}
       112:{2,3,4,5}:{(83,1),(85,1),(135,1),(139,1),(207,1)}
       113:{1,2,4,6}:{(84,1),(85,1),(86,1),(128,1),(139,1),(140,1)}
       114:{2,4,5,6}:{(87,1),(96,1),(142,1)}
       115:{3,5,7}:{(87,1),(88,1),(142,1),(143,1)}
       116:{1,4,6,7}:{(88,1),(89,1),(98,1),(143,1),(153,1)}
       117:{1,2,6,7}:{(89,1),(90,1),(100,1),(194,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(145,1),(148,1),(189,1)}
       119:{1,4,5,7}:{(91,1),(103,1),(145,1),(146,1),(155,1)}
       120:{1,2,5,6,7}:{(92,1),(95,1),(104,1),(144,1),(147,1),(187,1),(208,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(96,1),(145,1),(148,1),(153,1),(191,1),(194,1)}
       122:{3,5,7}:{(93,1),(94,1),(106,1),(148,1)}
       123:{1,3,4,7}:{(94,1),(98,1),(107,1),(149,1),(151,1),(154,1)}
       124:{2,3,4,7}:{(94,1),(108,1),(150,1),(151,1),(196,1),(209,1)}
       125:{2,4,6,7}:{(95,1),(96,1),(109,1),(152,1)}
       126:{3,4,6}:{(96,1),(97,1),(142,1),(148,1),(153,1)}
       127:{1,4,5,7}:{(97,1),(98,1),(111,1),(143,1),(149,1),(153,1)}
       128:{1,2,4,7}:{(98,1),(99,1),(100,1),(113,1),(154,1)}
       129:{1,3,5,7}:{(101,1),(102,1),(104,1),(155,1),(159,1)}
       130:{1,4,6}:{(102,1),(103,1),(155,1),(156,1)}
       131:{3,4,5}:{(103,1),(106,1),(156,1),(158,1)}
       132:{1,2,4,5,7}:{(104,1),(105,1),(109,1),(147,1),(155,1),(159,1),(164,1),(188,1),(196,1),(199,1),(208,1)}
       133:{3,5,6}:{(105,1),(106,1),(148,1),(156,1),(159,1)}
       134:{1,3,5}:{(106,1),(107,1),(111,1),(162,1)}
       135:{2,3,5}:{(106,1),(108,1),(158,1),(162,1)}
       136:{1,2,4,6}:{(107,1),(108,1),(151,1),(162,1),(163,1),(194,1),(200,1)}
       137:{3,4,5,7}:{(109,1),(110,1),(152,1),(159,1),(164,1)}
       138:{1,4,5,6}:{(110,1),(111,1),(153,1),(160,1),(164,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(113,1),(162,1),(165,1),(200,1)}
       140:{1,3,6}:{(113,1),(154,1),(165,1)}
       141:{2,4,5,6,7}:{(114,1),(125,1),(166,1)}
       142:{3,5,6}:{(114,1),(115,1),(126,1),(167,1)}
       143:{1,5,7}:{(115,1),(116,1),(167,1)}
       144:{1,3,5,6,7}:{(118,1),(120,1),(129,1),(169,1),(172,1),(201,1)}
       145:{1,4,6}:{(118,1),(119,1),(170,1)}
       146:{3,4,5,7}:{(119,1),(122,1),(131,1),(170,1),(171,1),(178,1),(201,1)}
       147:{1,2,4,6,7}:{(120,1),(121,1),(125,1),(132,1),(169,1),(172,1),(177,1),(203,1),(204,1)}
       148:{3,6}:{(121,1),(122,1)}
       149:{1,3,5,7}:{(122,1),(123,1),(127,1),(134,1),(173,1),(175,1)}
       150:{2,3,5,7}:{(122,1),(124,1),(135,1),(171,1),(174,1),(175,1)}
       151:{1,2,4,7}:{(123,1),(124,1),(136,1),(175,1),(176,1)}
       152:{3,4,6,7}:{(125,1),(126,1),(137,1),(166,1),(172,1),(177,1)}
       153:{1,4,6}:{(126,1),(127,1),(167,1),(173,1)}
       154:{1,3,7}:{(128,1),(140,1)}
       155:{1,4,7}:{(129,1),(130,1),(178,1)}
       156:{3,4,6}:{(130,1),(131,1),(133,1),(178,1),(180,1)}
       157:{1,3,4,5}:{(131,1),(134,1),(179,1),(181,1),(186,1)}
       158:{2,4,5}:{(131,1),(135,1),(180,1)}
       159:{3,5,7}:{(132,1),(133,1),(172,1),(178,1)}
       160:{1,3,5,6}:{(133,1),(134,1),(138,1),(173,1),(179,1),(182,1),(184,1)}
       161:{2,3,5,6}:{(133,1),(135,1),(174,1),(180,1),(183,1),(184,1),(202,1),(206,1)}
       162:{1,2,5}:{(134,1),(135,1),(136,1)}
       163:{1,2,3,6}:{(136,1),(140,1),(176,1),(185,1),(206,1)}
       164:{1,4,5,7}:{(137,1),(138,1),(177,1),(182,1)}
       165:{1,3,5}:{(139,1),(140,1),(186,1)}
       166:{3,5,6,7}:{(141,1),(142,1),(152,1),(187,1)}
       167:{1,5,6}:{(142,1),(143,1),(153,1)}
       168:{1,4,5,6}:{(145,1),(188,1),(189,1)}
       169:{1,4,6,7}:{(144,1),(145,1),(155,1),(188,1),(190,1)}
       170:{3,4,6}:{(145,1),(146,1),(148,1),(189,1),(191,1)}
       171:{2,4,5,7}:{(146,1),(150,1),(158,1),(191,1),(196,1),(208,1)}
       172:{3,6,7}:{(147,1),(148,1),(159,1)}
       173:{1,3,6}:{(148,1),(149,1),(153,1),(194,1)}
       174:{2,3,6}:{(148,1),(150,1),(191,1),(194,1)}
       175:{1,2,5,7}:{(149,1),(150,1),(151,1),(162,1),(194,1)}
       176:{1,2,3,7}:{(151,1),(154,1),(163,1),(209,1)}
       177:{1,4,6,7}:{(152,1),(153,1),(164,1),(187,1),(192,1)}
       178:{3,4,7}:{(155,1),(156,1),(159,1),(196,1)}
       179:{1,3,4,6}:{(156,1),(157,1),(160,1),(195,1),(197,1)}
       180:{2,4,6}:{(156,1),(158,1),(161,1),(196,1)}
       181:{1,2,4,5}:{(157,1),(158,1),(162,1),(197,1),(198,1),(200,1)}
       182:{1,3,5,7}:{(159,1),(160,1),(164,1),(192,1),(195,1),(199,1)}
       183:{2,3,5,7}:{(159,1),(161,1),(193,1),(196,1),(199,1),(208,1),(209,1)}
       184:{1,2,5,6}:{(160,1),(161,1),(162,1),(194,1),(197,1),(199,1)}
       185:{1,2,3,5}:{(162,1),(163,1),(165,1),(198,1),(200,1)}
       186:{1,3,4}:{(165,1),(200,1)}
       187:{1,5,6,7}:{(166,1),(167,1),(177,1)}
       188:{1,4,5,7}:{(168,1),(169,1),(201,1)}
       189:{3,5,6}:{(168,1),(170,1),(201,1),(202,1)}
       190:{3,4,6,7}:{(169,1),(170,1),(172,1),(178,1),(201,1),(203,1)}
       191:{2,4,6}:{(170,1),(171,1),(174,1),(202,1)}
       192:{1,3,6,7}:{(172,1),(173,1),(177,1),(182,1),(204,1)}
       193:{2,3,6,7}:{(172,1),(174,1),(183,1),(203,1),(204,1)}
       194:{1,2,6}:{(173,1),(174,1),(175,1)}
       195:{1,3,4,7}:{(178,1),(179,1),(182,1),(205,1)}
       196:{2,4,7}:{(178,1),(180,1),(183,1)}
       197:{1,2,4,6}:{(179,1),(180,1),(181,1),(184,1),(205,1),(206,1)}
       198:{2,3,5}:{(181,1),(206,1),(207,1)}
       199:{1,2,5,7}:{(182,1),(183,1),(184,1),(204,1),(205,1)}
       200:{1,2,4}:{(185,1),(186,1),(207,1)}
       201:{3,5,7}:{(188,1),(189,1),(190,1),(208,1)}
       202:{2,5,6}:{(189,1),(191,1),(208,1)}
       203:{2,4,6,7}:{(190,1),(191,1),(193,1),(196,1),(208,1)}
       204:{1,2,6,7}:{(192,1),(193,1),(194,1),(199,1)}
       205:{1,2,4,7}:{(195,1),(196,1),(197,1),(199,1),(209,1)}
       206:{2,3,6}:{(197,1),(198,1),(209,1)}
       207:{2,3,4}:{(198,1),(200,1)}
       208:{2,5,7}:{(201,1),(202,1),(203,1)}
       209:{2,3,7}:{(205,1),(206,1)}

 957 :   0:{1,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(20,1),(42,1),(48,1),(87,1),(100,1)}
         1:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(29,1),(33,1),(75,1)}
         2:{1,3,5}:{(0,1),(6,1),(8,1),(31,1),(110,1),(126,1)}
         3:{1,3,4,7}:{(0,1),(7,1),(9,1),(27,1),(67,1),(74,1),(113,1),(205,1)}
         4:{1,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(20,1),(21,1),(42,1),(57,1),(105,1)}
         5:{2,3,6}:{(1,1),(14,1),(15,1),(42,1)}
         6:{1,2,5}:{(1,1),(2,1),(14,1),(101,1)}
         7:{1,2,4,7}:{(1,1),(3,1),(15,1),(17,1),(49,1),(208,1)}
         8:{1,4,5}:{(2,1),(12,1),(18,1),(147,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(17,1),(19,1),(20,1),(53,1),(133,1),(197,1),(200,1)}
        10:{1,4,5,6}:{(12,1),(21,1),(22,1),(57,1),(107,1)}
        11:{1,2,5,6}:{(4,1),(6,1),(23,1),(24,1),(25,1),(33,1),(37,1),(110,1),(153,1)}
        12:{1,4,6}:{(4,1),(8,1),(26,1),(27,1),(130,1)}
        13:{1,3,5,7}:{(4,1),(25,1),(27,1),(28,1),(38,1),(67,1),(71,1),(119,1)}
        14:{2,3,5}:{(5,1),(6,1),(29,1),(31,1)}
        15:{2,3,7}:{(5,1),(7,1),(67,1),(209,1)}
        16:{1,2,4,5}:{(6,1),(8,1),(24,1),(29,1),(31,1),(34,1),(61,1),(72,1),(76,1),(110,1)}
        17:{1,2,5,7}:{(6,1),(7,1),(9,1),(30,1),(33,1),(204,1),(207,1)}
        18:{3,4,5}:{(8,1),(26,1),(31,1),(34,1)}
        19:{1,4,5,7}:{(8,1),(9,1),(27,1),(35,1),(36,1),(71,1),(188,1),(192,1)}
        20:{1,3,6}:{(9,1),(33,1),(36,1),(79,1),(153,1)}
        21:{3,5,6}:{(10,1),(26,1),(37,1),(38,1)}
        22:{1,4,5,7}:{(10,1),(27,1),(38,1),(39,1),(71,1),(121,1)}
        23:{2,3,5,6}:{(11,1),(14,1),(40,1),(41,1),(42,1),(50,1),(85,1),(101,1),(105,1),(134,1),(135,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(16,1),(40,1),(42,1),(43,1),(45,1),(87,1),(90,1)}
        25:{1,2,5,7}:{(11,1),(13,1),(41,1),(43,1),(44,1),(58,1),(133,1)}
        26:{3,4,6}:{(12,1),(18,1),(21,1),(42,1),(45,1),(46,1)}
        27:{1,4,7}:{(12,1),(13,1),(46,1),(141,1)}
        28:{1,3,6,7}:{(13,1),(20,1),(44,1),(47,1),(59,1),(93,1),(197,1)}
        29:{2,4}:{(14,1),(48,1)}
        30:{2,3,5,7}:{(14,1),(15,1),(17,1),(49,1),(50,1),(53,1),(101,1),(196,1),(198,1),(201,1)}
        31:{3,5}:{(16,1),(42,1),(48,1)}
        32:{1,2,4,5,7}:{(16,1),(17,1),(19,1),(43,1),(49,1),(53,1),(54,1),(55,1),(86,1),(94,1),(98,1),(101,1),(102,1),(133,1),(141,1),(145,1),(147,1),(172,1),(173,1),(178,1),(196,1)}
        33:{1,2,6}:{(17,1),(20,1),(50,1)}
        34:{2,4,5}:{(18,1),(45,1),(52,1)}
        35:{3,4,5,7}:{(18,1),(19,1),(46,1),(53,1),(55,1),(56,1),(96,1),(141,1),(147,1),(175,1),(180,1)}
        36:{1,4,6}:{(19,1),(20,1),(56,1),(57,1)}
        37:{2,5,6}:{(21,1),(45,1),(58,1)}
        38:{3,5,7}:{(21,1),(22,1),(46,1),(58,1),(59,1)}
        39:{1,4,6,7}:{(22,1),(59,1),(60,1),(109,1)}
        40:{2,4,6}:{(23,1),(29,1),(61,1),(62,1),(63,1),(130,1)}
        41:{2,3,5,7}:{(23,1),(25,1),(63,1),(64,1),(67,1),(111,1),(115,1),(119,1)}
        42:{3,6}:{(24,1),(31,1),(67,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(27,1),(63,1),(67,1),(69,1),(113,1),(116,1)}
        44:{1,2,6,7}:{(25,1),(28,1),(33,1),(64,1),(83,1),(153,1),(204,1)}
        45:{2,4,6}:{(26,1),(34,1),(37,1),(66,1),(69,1)}
        46:{3,4,7}:{(26,1),(27,1),(38,1),(67,1),(69,1)}
        47:{1,4,6,7}:{(27,1),(28,1),(36,1),(70,1),(71,1),(169,1),(188,1)}
        48:{3,4}:{(29,1),(31,1),(72,1)}
        49:{2,4,7}:{(29,1),(30,1),(74,1),(75,1),(206,1)}
        50:{2,3,6}:{(30,1),(33,1),(75,1),(79,1),(203,1)}
        51:{1,3,5}:{(31,1),(65,1),(72,1),(76,1),(110,1),(122,1)}
        52:{2,3,5}:{(31,1),(34,1),(66,1),(73,1),(76,1)}
        53:{3,5,7}:{(31,1),(32,1),(67,1),(74,1),(79,1),(126,1),(186,1),(190,1)}
        54:{1,2,4,6}:{(32,1),(33,1),(36,1),(75,1),(79,1),(80,1),(81,1),(112,1),(124,1),(127,1),(130,1),(153,1),(184,1),(203,1)}
        55:{2,4,5,7}:{(34,1),(35,1),(69,1),(78,1),(81,1),(120,1),(159,1),(164,1)}
        56:{3,4,6}:{(35,1),(36,1),(79,1),(81,1),(82,1),(130,1)}
        57:{1,5,6}:{(36,1),(71,1),(82,1)}
        58:{2,5,7}:{(37,1),(38,1),(69,1),(83,1)}
        59:{3,6,7}:{(38,1),(39,1),(83,1)}
        60:{1,5,6,7}:{(39,1),(71,1),(84,1),(169,1)}
        61:{2,4,5}:{(40,1),(85,1),(101,1),(147,1)}
        62:{3,4,6}:{(40,1),(42,1),(48,1),(85,1),(87,1),(88,1),(134,1)}
        63:{2,4,7}:{(40,1),(41,1),(88,1),(141,1)}
        64:{2,3,6,7}:{(41,1),(44,1),(50,1),(89,1),(93,1),(134,1),(198,1)}
        65:{1,3,6}:{(42,1),(51,1),(87,1),(90,1),(91,1)}
        66:{2,3,6}:{(42,1),(45,1),(52,1),(90,1),(92,1)}
        67:{3,7}:{(42,1),(43,1)}
        68:{1,2,4,6,7}:{(43,1),(44,1),(47,1),(54,1),(89,1),(93,1),(94,1),(95,1),(136,1),(138,1),(141,1),(173,1)}
        69:{2,4,7}:{(45,1),(46,1),(58,1),(92,1)}
        70:{3,4,6,7}:{(46,1),(47,1),(56,1),(59,1),(93,1),(95,1),(96,1),(109,1),(141,1),(152,1),(175,1)}
        71:{1,5,7}:{(47,1),(57,1),(96,1)}
        72:{1,4}:{(48,1),(51,1)}
        73:{2,3,4}:{(48,1),(52,1),(97,1)}
        74:{3,4,7}:{(48,1),(49,1),(53,1),(98,1),(100,1),(141,1),(199,1)}
        75:{2,4,6}:{(49,1),(50,1),(100,1),(101,1)}
        76:{1,2,5}:{(51,1),(52,1),(90,1),(97,1)}
        77:{1,3,5,7}:{(51,1),(53,1),(91,1),(98,1),(102,1),(103,1),(133,1),(143,1),(145,1),(177,1)}
        78:{2,3,5,7}:{(52,1),(53,1),(55,1),(92,1),(99,1),(102,1),(104,1),(146,1),(196,1)}
        79:{3,6}:{(53,1),(54,1)}
        80:{1,2,5,6}:{(54,1),(57,1),(94,1),(101,1),(105,1),(106,1),(135,1),(145,1),(170,1)}
        81:{2,4,6}:{(55,1),(56,1),(104,1),(106,1)}
        82:{3,5,6}:{(56,1),(57,1),(96,1),(106,1),(107,1)}
        83:{2,6,7}:{(58,1),(59,1)}
        84:{3,5,6,7}:{(59,1),(60,1),(96,1),(108,1),(109,1),(152,1)}
        85:{3,5}:{(61,1),(62,1),(110,1)}
        86:{2,4,5,7}:{(61,1),(63,1),(111,1),(112,1),(115,1),(156,1)}
        87:{1,4,6}:{(62,1),(65,1),(72,1),(110,1),(113,1),(153,1)}
        88:{3,4,7}:{(62,1),(63,1),(67,1),(111,1),(113,1)}
        89:{2,4,6,7}:{(63,1),(64,1),(75,1),(112,1),(114,1),(115,1),(187,1),(203,1)}
        90:{1,2,6}:{(65,1),(66,1),(76,1),(116,1)}
        91:{1,3,7}:{(65,1),(67,1),(113,1),(116,1)}
        92:{2,3,7}:{(66,1),(67,1),(69,1),(116,1)}
        93:{3,6,7}:{(67,1),(68,1),(79,1),(119,1),(186,1)}
        94:{1,2,5,7}:{(68,1),(71,1),(80,1),(115,1),(119,1),(120,1),(155,1)}
        95:{2,4,6,7}:{(69,1),(70,1),(81,1),(83,1),(118,1),(120,1),(159,1)}
        96:{3,5,7}:{(70,1),(71,1),(82,1),(120,1),(121,1)}
        97:{1,2,4}:{(72,1),(73,1),(76,1),(122,1)}
        98:{1,4,7}:{(72,1),(74,1),(77,1),(124,1),(189,1)}
        99:{2,3,4,7}:{(73,1),(74,1),(78,1),(123,1),(125,1),(159,1),(186,1),(187,1)}
       100:{3,4,6}:{(74,1),(75,1),(79,1),(124,1),(126,1),(130,1)}
       101:{2,5}:{(75,1),(126,1)}
       102:{1,2,5,7}:{(76,1),(77,1),(78,1),(116,1),(123,1),(127,1),(162,1)}
       103:{1,3,6}:{(77,1),(79,1),(124,1),(127,1),(153,1)}
       104:{2,3,6}:{(78,1),(79,1),(81,1),(127,1),(203,1)}
       105:{3,5,6}:{(79,1),(80,1),(119,1),(126,1),(130,1)}
       106:{2,5,6}:{(81,1),(82,1),(120,1)}
       107:{4,5,6}:{(82,1),(121,1),(130,1)}
       108:{2,5,6,7}:{(83,1),(84,1),(120,1),(132,1)}
       109:{4,6,7}:{(84,1),(121,1)}
       110:{1,5}:{(85,1),(87,1)}
       111:{3,5,7}:{(85,1),(86,1),(88,1),(133,1),(134,1)}
       112:{2,4,6}:{(86,1),(134,1),(135,1),(171,1)}
       113:{1,4,7}:{(87,1),(88,1),(91,1),(133,1)}
       114:{3,4,6,7}:{(88,1),(89,1),(93,1),(100,1),(134,1),(136,1),(137,1),(141,1),(171,1),(174,1),(195,1)}
       115:{2,5,7}:{(89,1),(101,1),(135,1),(137,1)}
       116:{1,2,7}:{(90,1),(91,1),(92,1)}
       117:{1,3,6,7}:{(91,1),(93,1),(103,1),(136,1),(138,1),(139,1),(195,1)}
       118:{2,3,6,7}:{(92,1),(93,1),(95,1),(104,1),(138,1),(140,1),(152,1)}
       119:{3,5,7}:{(93,1),(94,1),(105,1),(141,1)}
       120:{2,5,7}:{(95,1),(96,1),(106,1)}
       121:{4,5,7}:{(96,1),(107,1),(109,1),(141,1)}
       122:{1,3}:{(97,1)}
       123:{1,2,4,7}:{(97,1),(98,1),(99,1),(102,1),(143,1),(144,1)}
       124:{1,4,6}:{(98,1),(100,1),(103,1),(145,1)}
       125:{2,3,4,6}:{(99,1),(100,1),(104,1),(144,1),(146,1),(150,1),(181,1),(182,1),(199,1)}
       126:{3,5}:{(100,1),(101,1),(145,1),(147,1)}
       127:{1,2,6}:{(102,1),(103,1),(104,1)}
       128:{1,3,5,6}:{(103,1),(105,1),(139,1),(145,1),(148,1),(149,1),(170,1),(177,1),(179,1),(181,1),(195,1)}
       129:{2,3,5,6}:{(104,1),(105,1),(106,1),(140,1),(146,1),(148,1),(150,1),(151,1),(181,1)}
       130:{4,6}:{(105,1),(141,1),(147,1)}
       131:{2,4,5,6}:{(106,1),(107,1),(142,1),(150,1),(151,1)}
       132:{2,4,6,7}:{(108,1),(109,1),(142,1),(152,1)}
       133:{1,5,7}:{(110,1),(111,1),(113,1),(153,1)}
       134:{3,6}:{(111,1),(112,1),(153,1)}
       135:{2,5,6}:{(112,1),(115,1),(154,1),(203,1)}
       136:{1,4,6,7}:{(113,1),(114,1),(117,1),(124,1),(153,1),(155,1),(158,1),(184,1)}
       137:{3,5,7}:{(114,1),(115,1),(126,1),(154,1),(155,1),(156,1)}
       138:{1,2,6,7}:{(116,1),(117,1),(118,1),(127,1),(157,1),(169,1),(203,1)}
       139:{1,3,5,7}:{(117,1),(119,1),(128,1),(155,1),(157,1),(158,1),(185,1),(186,1)}
       140:{2,3,5,7}:{(118,1),(119,1),(120,1),(129,1),(157,1),(159,1),(160,1),(186,1)}
       141:{4,7}:{(119,1),(130,1)}
       142:{2,4,5,7}:{(120,1),(121,1),(131,1),(132,1),(159,1),(160,1)}
       143:{1,3,7}:{(122,1),(123,1),(161,1),(186,1)}
       144:{1,2,4,6}:{(123,1),(124,1),(125,1),(127,1),(161,1),(162,1),(189,1)}
       145:{1,5}:{(124,1),(126,1)}
       146:{2,3,5}:{(125,1),(126,1),(162,1),(164,1),(190,1),(191,1)}
       147:{4,5}:{(126,1),(130,1)}
       148:{1,2,5,6}:{(127,1),(128,1),(129,1),(157,1),(162,1),(165,1),(168,1),(191,1),(203,1)}
       149:{1,4,6}:{(128,1),(130,1),(158,1),(163,1),(166,1),(189,1)}
       150:{2,4,6}:{(129,1),(130,1),(159,1),(164,1),(167,1)}
       151:{3,5,6}:{(131,1),(160,1),(167,1),(168,1)}
       152:{3,6,7}:{(132,1),(160,1),(169,1)}
       153:{1,6}:{(133,1),(134,1)}
       154:{3,5,6}:{(134,1),(135,1),(137,1),(170,1),(171,1),(195,1)}
       155:{1,5,7}:{(136,1),(137,1),(145,1),(170,1)}
       156:{4,5,7}:{(137,1),(141,1),(147,1),(171,1)}
       157:{1,2,5,7}:{(138,1),(139,1),(140,1),(148,1),(173,1),(176,1),(196,1)}
       158:{1,4,7}:{(139,1),(141,1),(149,1),(174,1)}
       159:{2,4,7}:{(140,1),(141,1),(150,1),(175,1)}
       160:{3,5,7}:{(142,1),(151,1),(152,1),(175,1),(176,1)}
       161:{1,3,6}:{(143,1),(144,1),(177,1),(181,1)}
       162:{1,2,5}:{(144,1),(145,1),(146,1),(177,1)}
       163:{1,4,5}:{(145,1),(147,1),(149,1),(179,1)}
       164:{2,4,5}:{(146,1),(147,1),(150,1),(180,1)}
       165:{1,2,4,6}:{(148,1),(149,1),(150,1),(173,1),(178,1),(181,1),(182,1),(183,1),(202,1)}
       166:{3,4,6}:{(149,1),(174,1),(179,1),(181,1),(182,1),(195,1),(199,1)}
       167:{3,4,6}:{(150,1),(151,1),(175,1),(180,1),(181,1),(183,1)}
       168:{1,5,6}:{(151,1),(176,1),(183,1)}
       169:{1,6,7}:{(152,1),(176,1)}
       170:{1,5,6}:{(153,1),(154,1),(155,1),(184,1)}
       171:{4,6}:{(154,1),(156,1)}
       172:{1,4,5,7}:{(155,1),(156,1),(158,1),(163,1),(184,1),(185,1)}
       173:{1,2,4,7}:{(157,1),(158,1),(159,1),(165,1),(186,1),(187,1),(188,1),(204,1)}
       174:{3,4,7}:{(158,1),(166,1),(185,1),(186,1),(187,1)}
       175:{3,4,7}:{(159,1),(160,1),(167,1),(186,1),(188,1)}
       176:{1,5,7}:{(160,1),(168,1),(169,1),(188,1)}
       177:{1,3,5}:{(161,1),(162,1),(189,1),(190,1)}
       178:{1,2,4,5}:{(162,1),(163,1),(164,1),(165,1),(189,1),(190,1),(191,1),(192,1),(206,1),(207,1)}
       179:{3,5}:{(163,1),(166,1),(191,1)}
       180:{3,4,5}:{(164,1),(167,1),(190,1),(192,1)}
       181:{3,6}:{(165,1),(186,1),(190,1)}
       182:{2,4,6}:{(166,1),(187,1),(191,1),(194,1),(203,1),(206,1)}
       183:{1,4,6}:{(167,1),(168,1),(188,1),(192,1),(193,1)}
       184:{1,4,6}:{(170,1),(171,1),(172,1),(195,1)}
       185:{3,5,7}:{(172,1),(174,1),(179,1),(195,1),(196,1)}
       186:{3,7}:{(173,1),(181,1)}
       187:{2,4,7}:{(174,1),(182,1),(196,1),(198,1)}
       188:{1,4,7}:{(175,1),(176,1),(183,1),(197,1)}
       189:{1,4}:{(177,1),(199,1)}
       190:{3,5}:{(178,1),(181,1),(199,1)}
       191:{2,5}:{(179,1),(182,1)}
       192:{1,4,5}:{(180,1),(183,1),(200,1)}
       193:{1,3,6}:{(181,1),(183,1),(197,1),(200,1),(202,1)}
       194:{2,3,6}:{(181,1),(182,1),(198,1),(201,1),(202,1)}
       195:{3,6}:{(184,1),(185,1),(203,1)}
       196:{2,5,7}:{(185,1),(187,1),(191,1),(203,1)}
       197:{1,3,7}:{(186,1),(188,1),(193,1),(204,1)}
       198:{2,3,7}:{(186,1),(187,1),(194,1),(204,1)}
       199:{3,4}:{(189,1),(190,1),(206,1)}
       200:{1,3,5}:{(190,1),(192,1),(193,1),(205,1),(207,1)}
       201:{2,3,5}:{(190,1),(191,1),(194,1),(206,1),(207,1),(209,1)}
       202:{1,2,6}:{(193,1),(194,1),(204,1),(207,1)}
       203:{2,6}:{(195,1),(196,1)}
       204:{1,2,7}:{(197,1),(198,1),(202,1)}
       205:{1,3,4}:{(199,1),(200,1),(208,1)}
       206:{2,4}:{(199,1),(201,1)}
       207:{1,2,5}:{(200,1),(201,1),(202,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{2,3}:{(208,1)}

 958 :   0:{1,3,5,7}:{(3,1),(4,1),(5,1),(6,1),(22,1),(26,1),(51,1)}
         1:{1,4,5,7}:{(4,1),(6,1),(7,1),(9,1),(26,1),(30,1),(53,1)}
         2:{1,4,6,7}:{(7,1),(8,1),(9,1),(30,1)}
         3:{1,2,5,7}:{(0,1),(10,1),(11,1),(12,1),(15,1),(37,1),(57,1)}
         4:{1,4,7}:{(0,1),(13,1),(14,1),(65,1),(68,1)}
         5:{1,3,6}:{(0,1),(12,1),(14,1),(16,1),(36,1),(99,1)}
         6:{3,5,7}:{(1,1),(13,1),(15,1),(16,1),(39,1)}
         7:{1,4,6}:{(1,1),(16,1),(17,1),(41,1)}
         8:{3,6,7}:{(2,1),(16,1),(18,1),(19,1)}
         9:{1,5,7}:{(2,1),(17,1),(19,1),(68,1)}
        10:{2,3,5,7}:{(3,1),(20,1),(21,1),(22,1),(43,1),(47,1),(51,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(20,1),(22,1),(23,1),(24,1),(45,1),(48,1)}
        12:{1,2,6}:{(3,1),(5,1),(21,1),(27,1),(71,1),(103,1)}
        13:{3,4,7}:{(4,1),(6,1),(22,1),(24,1),(25,1),(30,1),(55,1)}
        14:{1,4,6}:{(4,1),(5,1),(25,1),(26,1),(79,1),(95,1)}
        15:{2,5,7}:{(6,1),(24,1),(27,1),(52,1)}
        16:{3,6}:{(6,1),(7,1),(27,1)}
        17:{1,5,6}:{(7,1),(9,1),(26,1),(28,1),(79,1)}
        18:{2,6,7}:{(8,1),(27,1),(29,1)}
        19:{3,5,7}:{(8,1),(9,1),(28,1),(29,1),(30,1),(55,1)}
        20:{2,4,7}:{(10,1),(32,1),(33,1),(65,1),(104,1)}
        21:{2,3,6}:{(10,1),(12,1),(33,1),(36,1),(58,1),(100,1)}
        22:{3,7}:{(11,1),(36,1)}
        23:{1,2,4,6}:{(11,1),(12,1),(14,1),(33,1),(36,1),(37,1),(38,1),(60,1),(62,1),(65,1),(85,1)}
        24:{2,4,7}:{(13,1),(15,1),(35,1),(38,1)}
        25:{3,4,6}:{(13,1),(14,1),(16,1),(36,1),(38,1),(39,1),(41,1),(65,1),(67,1),(87,1)}
        26:{1,5}:{(14,1),(39,1)}
        27:{2,6}:{(15,1),(16,1)}
        28:{3,5,6}:{(16,1),(17,1),(19,1),(39,1),(40,1),(41,1),(67,1)}
        29:{2,5,7}:{(18,1),(19,1),(40,1),(42,1)}
        30:{4,7}:{(19,1),(41,1)}
        31:{2,4,5,7}:{(20,1),(43,1),(44,1),(47,1),(70,1),(74,1),(90,1)}
        32:{3,4,7}:{(20,1),(22,1),(43,1),(45,1),(46,1),(90,1),(101,1)}
        33:{2,4,6}:{(20,1),(21,1),(46,1),(47,1),(94,1),(102,1)}
        34:{1,3,7}:{(22,1),(45,1),(48,1),(49,1),(101,1)}
        35:{2,3,7}:{(22,1),(24,1),(48,1),(50,1),(55,1)}
        36:{3,6}:{(22,1),(23,1),(51,1),(93,1)}
        37:{1,2,5}:{(23,1),(26,1),(47,1),(51,1),(52,1),(73,1)}
        38:{2,4,6}:{(24,1),(25,1),(27,1),(50,1),(52,1),(77,1)}
        39:{3,5}:{(25,1),(26,1),(52,1),(53,1)}
        40:{2,5,6}:{(27,1),(28,1),(29,1),(52,1),(54,1)}
        41:{4,6}:{(28,1),(30,1),(53,1)}
        42:{2,4,7}:{(29,1),(30,1),(54,1),(55,1)}
        43:{3,5,7}:{(31,1),(32,1),(57,1),(58,1),(61,1)}
        44:{2,4,6}:{(31,1),(58,1),(59,1),(83,1)}
        45:{1,4,7}:{(32,1),(34,1),(57,1),(60,1)}
        46:{3,4,6}:{(32,1),(33,1),(36,1),(58,1),(60,1),(61,1),(65,1),(83,1),(86,1),(97,1)}
        47:{2,5}:{(33,1),(61,1)}
        48:{1,2,7}:{(34,1),(35,1),(62,1),(68,1),(104,1)}
        49:{1,3,6}:{(34,1),(36,1),(60,1),(62,1),(63,1),(97,1)}
        50:{2,3,6}:{(35,1),(36,1),(38,1),(62,1),(64,1),(67,1)}
        51:{3,5}:{(36,1),(37,1),(65,1)}
        52:{2,5}:{(38,1),(39,1)}
        53:{4,5}:{(39,1),(41,1),(65,1)}
        54:{2,4,6}:{(40,1),(41,1),(42,1),(66,1),(67,1)}
        55:{3,7}:{(42,1),(67,1),(68,1)}
        56:{2,4,6,7}:{(44,1),(69,1),(70,1),(90,1)}
        57:{1,5,7}:{(43,1),(45,1),(71,1),(73,1)}
        58:{3,6}:{(43,1),(44,1),(71,1)}
        59:{2,5,6}:{(44,1),(47,1),(70,1),(72,1),(102,1)}
        60:{1,4,6}:{(45,1),(46,1),(49,1),(71,1),(73,1),(76,1)}
        61:{3,5}:{(46,1),(47,1),(73,1),(74,1)}
        62:{1,2,6}:{(48,1),(49,1),(50,1),(75,1),(79,1),(102,1)}
        63:{1,3,5}:{(49,1),(51,1),(73,1),(75,1),(76,1),(92,1),(93,1)}
        64:{2,3,5}:{(50,1),(51,1),(52,1),(75,1),(77,1),(78,1),(93,1)}
        65:{4}:{(51,1)}
        66:{2,4,5}:{(52,1),(53,1),(54,1),(77,1),(78,1)}
        67:{3,6}:{(54,1),(55,1),(78,1),(79,1)}
        68:{1,7}:{(55,1),(79,1)}
        69:{3,6,7}:{(56,1),(58,1),(80,1),(81,1)}
        70:{2,5,7}:{(56,1),(59,1),(81,1),(104,1)}
        71:{1,6}:{(57,1),(58,1)}
        72:{3,5,6}:{(58,1),(59,1),(61,1),(81,1),(82,1),(83,1),(97,1)}
        73:{1,5}:{(60,1),(61,1)}
        74:{4,5}:{(61,1),(65,1),(83,1)}
        75:{1,2,5}:{(62,1),(63,1),(64,1),(85,1),(88,1),(98,1)}
        76:{1,4}:{(63,1),(65,1),(86,1)}
        77:{2,4}:{(64,1),(65,1),(87,1)}
        78:{3,5}:{(66,1),(67,1),(87,1),(88,1)}
        79:{1,6}:{(67,1),(68,1),(88,1)}
        80:{1,6,7}:{(69,1),(71,1),(89,1)}
        81:{3,5,7}:{(69,1),(70,1),(72,1),(89,1),(90,1),(101,1)}
        82:{1,5,6}:{(71,1),(72,1),(73,1),(89,1),(91,1)}
        83:{4,6}:{(72,1),(74,1),(90,1)}
        84:{1,4,5}:{(73,1),(74,1),(76,1),(91,1),(92,1)}
        85:{1,2,4}:{(75,1),(76,1),(77,1),(93,1),(94,1),(95,1),(103,1)}
        86:{3,4}:{(76,1),(92,1),(93,1),(94,1)}
        87:{3,4}:{(77,1),(78,1),(93,1),(95,1)}
        88:{1,5}:{(78,1),(79,1),(95,1)}
        89:{1,5,7}:{(80,1),(81,1),(82,1),(96,1)}
        90:{4,7}:{(81,1),(83,1)}
        91:{1,4,6}:{(82,1),(83,1),(84,1),(96,1),(97,1)}
        92:{3,5}:{(84,1),(86,1),(97,1),(98,1)}
        93:{3}:{(85,1)}
        94:{2,4}:{(86,1),(98,1),(100,1)}
        95:{1,4}:{(87,1),(88,1),(99,1)}
        96:{1,4,7}:{(89,1),(90,1),(91,1),(101,1)}
        97:{3,6}:{(91,1),(92,1),(101,1),(102,1)}
        98:{2,5}:{(92,1),(94,1),(102,1)}
        99:{1,3}:{(93,1),(95,1),(103,1)}
       100:{2,3}:{(93,1),(94,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{2,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{2,7}:{(101,1),(102,1)}

 959 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(18,1),(32,1),(34,1),(43,1),(64,1),(76,1),(99,1),(108,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(20,1),(21,1),(30,1),(61,1),(94,1),(112,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(29,1),(80,1),(109,1)}
         3:{2,3,5,6,7}:{(6,1),(8,1),(9,1),(28,1),(29,1),(60,1),(116,1)}
         4:{1,3,6,7}:{(1,1),(10,1),(34,1),(108,1),(124,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(10,1),(11,1),(44,1),(121,1)}
         6:{2,3,5,6}:{(2,1),(11,1),(13,1),(34,1),(37,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(14,1),(76,1),(96,1)}
         8:{1,2,5,6,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(73,1),(77,1),(103,1)}
         9:{2,4,6,7}:{(3,1),(13,1),(17,1),(18,1),(76,1),(127,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(19,1),(20,1),(22,1),(130,1)}
        11:{1,2,5,6}:{(5,1),(6,1),(19,1),(21,1),(53,1),(80,1)}
        12:{1,2,4,5,7}:{(5,1),(7,1),(20,1),(21,1),(22,1),(25,1),(45,1),(48,1),(52,1),(80,1),(94,1),(110,1)}
        13:{2,4,6}:{(6,1),(7,1),(24,1)}
        14:{3,4,5,7}:{(7,1),(22,1),(24,1),(25,1),(29,1),(58,1),(78,1)}
        15:{1,3,5,6,7}:{(8,1),(19,1),(26,1),(28,1),(55,1),(59,1),(87,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(21,1),(26,1),(27,1),(28,1),(30,1),(57,1),(61,1),(94,1),(115,1)}
        17:{2,4,5,7}:{(9,1),(23,1),(29,1),(134,1)}
        18:{3,4,6,7}:{(9,1),(24,1),(28,1),(29,1),(30,1),(58,1),(133,1)}
        19:{1,3,5,6}:{(10,1),(11,1),(31,1),(34,1),(62,1)}
        20:{1,4,7}:{(10,1),(31,1),(32,1),(136,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(13,1),(31,1),(34,1),(38,1),(64,1),(69,1)}
        22:{3,5,7}:{(12,1),(32,1),(34,1),(62,1),(108,1),(122,1)}
        23:{2,4,5,6}:{(13,1),(17,1),(37,1)}
        24:{3,4,6}:{(13,1),(14,1),(34,1),(37,1),(38,1)}
        25:{1,4,5,7}:{(14,1),(35,1),(38,1),(44,1),(75,1),(95,1)}
        26:{1,4,6,7}:{(15,1),(31,1),(39,1),(40,1),(75,1),(101,1)}
        27:{1,2,4,5,7}:{(16,1),(17,1),(33,1),(39,1),(41,1),(44,1),(73,1),(75,1),(76,1),(77,1)}
        28:{3,6,7}:{(16,1),(34,1),(41,1),(108,1),(126,1)}
        29:{3,5,7}:{(17,1),(18,1),(37,1),(44,1),(138,1)}
        30:{1,4,6,7}:{(18,1),(38,1),(42,1),(44,1),(75,1),(137,1)}
        31:{1,4,6}:{(19,1),(20,1),(45,1),(46,1)}
        32:{3,4,7}:{(20,1),(22,1),(46,1),(48,1),(131,1)}
        33:{1,2,4,5,6}:{(21,1),(23,1),(27,1),(45,1),(49,1),(53,1),(54,1),(80,1),(83,1),(84,1),(85,1),(88,1),(110,1),(115,1),(134,1),(139,1)}
        34:{3,6}:{(21,1),(22,1)}
        35:{1,3,5,7}:{(22,1),(25,1),(47,1),(50,1),(52,1),(79,1)}
        36:{2,3,5,7}:{(22,1),(48,1),(51,1),(52,1),(80,1),(82,1),(111,1)}
        37:{3,5,6}:{(23,1),(24,1),(29,1),(53,1)}
        38:{1,4,6}:{(24,1),(25,1),(50,1),(53,1)}
        39:{1,4,5,7}:{(26,1),(45,1),(54,1),(55,1)}
        40:{3,4,6,7}:{(26,1),(28,1),(46,1),(55,1),(57,1),(58,1),(86,1)}
        41:{3,5,7}:{(27,1),(28,1),(49,1),(58,1)}
        42:{1,3,6,7}:{(28,1),(30,1),(50,1),(59,1),(61,1),(132,1)}
        43:{2,3,6,7}:{(28,1),(51,1),(57,1),(60,1),(61,1),(114,1)}
        44:{1,5,7}:{(29,1),(30,1),(53,1),(139,1)}
        45:{1,4,5}:{(31,1),(62,1)}
        46:{3,4,6}:{(31,1),(32,1),(34,1),(62,1),(64,1)}
        47:{1,3,4,7}:{(32,1),(35,1),(63,1),(65,1),(75,1),(108,1)}
        48:{2,4,7}:{(32,1),(36,1),(64,1),(123,1)}
        49:{3,5,6}:{(33,1),(34,1),(41,1),(62,1),(66,1),(122,1),(126,1),(138,1)}
        50:{1,3,6}:{(34,1),(35,1),(38,1),(69,1)}
        51:{2,3,6}:{(34,1),(36,1),(64,1),(69,1)}
        52:{1,2,5,7}:{(35,1),(36,1),(65,1),(69,1),(97,1)}
        53:{1,5,6}:{(37,1),(38,1),(44,1)}
        54:{1,4,5,6}:{(39,1),(70,1),(101,1)}
        55:{3,5,7}:{(39,1),(40,1),(62,1),(70,1),(73,1)}
        56:{1,3,4,6,7}:{(40,1),(42,1),(63,1),(72,1),(74,1),(75,1),(101,1),(108,1),(126,1),(129,1),(137,1)}
        57:{2,4,6,7}:{(40,1),(43,1),(64,1),(73,1),(76,1),(102,1)}
        58:{3,4,7}:{(41,1),(66,1),(75,1),(76,1),(108,1)}
        59:{1,3,5,7}:{(41,1),(42,1),(44,1),(67,1),(75,1),(77,1),(108,1)}
        60:{2,3,5,7}:{(41,1),(43,1),(68,1),(73,1),(76,1),(77,1),(108,1)}
        61:{1,2,6,7}:{(42,1),(43,1),(69,1),(77,1),(125,1)}
        62:{3,5}:{(45,1),(46,1),(80,1)}
        63:{1,3,4,6}:{(46,1),(47,1),(50,1),(79,1),(81,1),(83,1),(113,1),(131,1)}
        64:{2,4,6}:{(46,1),(48,1),(51,1),(80,1)}
        65:{1,2,4,7}:{(47,1),(48,1),(52,1),(81,1),(82,1)}
        66:{3,4,6}:{(49,1),(58,1),(78,1),(83,1),(84,1),(113,1),(131,1)}
        67:{1,3,5,6}:{(49,1),(50,1),(53,1),(59,1),(79,1),(83,1),(85,1),(113,1),(130,1),(132,1),(139,1)}
        68:{2,3,5,6}:{(49,1),(51,1),(60,1),(80,1),(84,1),(85,1),(88,1),(109,1),(111,1),(113,1),(114,1)}
        69:{1,2,6}:{(50,1),(51,1),(52,1)}
        70:{3,5,6}:{(54,1),(55,1),(86,1),(88,1)}
        71:{3,4,5,7}:{(55,1),(58,1),(78,1),(86,1),(89,1),(90,1),(118,1)}
        72:{1,3,5,7}:{(55,1),(56,1),(79,1),(87,1),(89,1),(91,1),(118,1),(139,1)}
        73:{2,5,7}:{(55,1),(57,1),(80,1),(88,1)}
        74:{1,2,4,6,7}:{(56,1),(57,1),(61,1),(81,1),(91,1),(92,1),(94,1),(115,1),(119,1)}
        75:{1,4,7}:{(58,1),(59,1),(83,1)}
        76:{2,4,7}:{(58,1),(60,1),(84,1)}
        77:{1,2,5,7}:{(59,1),(60,1),(61,1),(85,1),(94,1)}
        78:{3,4,5}:{(62,1),(66,1),(95,1),(96,1),(122,1),(138,1)}
        79:{1,3,5}:{(62,1),(63,1),(95,1),(97,1),(122,1)}
        80:{2,5}:{(62,1),(64,1)}
        81:{1,2,4,6}:{(63,1),(64,1),(65,1),(69,1),(97,1),(98,1),(123,1)}
        82:{2,3,7}:{(65,1),(98,1),(108,1)}
        83:{1,4,6}:{(66,1),(67,1),(75,1),(95,1),(136,1)}
        84:{2,4,6}:{(66,1),(68,1),(76,1),(96,1),(123,1)}
        85:{1,2,5,6}:{(67,1),(68,1),(69,1),(77,1),(97,1),(100,1),(121,1),(125,1)}
        86:{3,4,6}:{(70,1),(71,1),(101,1),(102,1),(126,1)}
        87:{1,3,5,6}:{(70,1),(72,1),(101,1),(103,1),(126,1)}
        88:{2,5,6}:{(70,1),(73,1),(102,1)}
        89:{1,4,5,7}:{(71,1),(72,1),(75,1),(95,1),(101,1)}
        90:{2,4,5,7}:{(71,1),(73,1),(76,1),(96,1),(102,1),(104,1)}
        91:{1,2,5,7}:{(72,1),(73,1),(74,1),(97,1),(103,1),(106,1)}
        92:{2,3,6,7}:{(74,1),(98,1),(106,1),(108,1),(126,1)}
        93:{2,3,4,7}:{(76,1),(99,1),(104,1),(107,1),(108,1),(129,1)}
        94:{1,2,4,7}:{(75,1),(76,1),(77,1),(100,1),(108,1)}
        95:{1,4,5}:{(78,1),(79,1),(83,1),(139,1)}
        96:{2,4,5}:{(78,1),(80,1),(84,1),(109,1)}
        97:{1,2,5}:{(79,1),(80,1),(81,1),(111,1)}
        98:{2,3,6}:{(81,1),(82,1),(111,1),(113,1)}
        99:{2,3,4,6}:{(84,1),(93,1),(109,1),(112,1),(113,1),(114,1),(131,1),(133,1)}
       100:{1,2,4,6}:{(83,1),(84,1),(85,1),(94,1),(110,1),(113,1)}
       101:{1,4,6}:{(86,1),(87,1),(89,1)}
       102:{2,4,6}:{(86,1),(88,1),(90,1),(114,1)}
       103:{1,2,5,6}:{(87,1),(88,1),(91,1),(115,1),(116,1),(139,1)}
       104:{2,3,5,7}:{(90,1),(93,1),(109,1),(114,1),(117,1),(118,1)}
       105:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(110,1),(115,1),(117,1),(118,1),(119,1),(134,1),(135,1),(139,1)}
       106:{2,3,5,7}:{(91,1),(92,1),(111,1),(116,1),(118,1),(119,1)}
       107:{1,2,4,7}:{(93,1),(112,1),(117,1),(120,1),(135,1)}
       108:{3,7}:{(94,1),(113,1)}
       109:{2,3,5}:{(96,1),(99,1),(121,1),(122,1),(138,1)}
       110:{1,2,4,5}:{(95,1),(96,1),(97,1),(100,1),(121,1),(122,1),(123,1),(136,1)}
       111:{2,3,5}:{(97,1),(98,1),(122,1),(123,1)}
       112:{1,2,4,6}:{(99,1),(107,1),(121,1),(124,1),(125,1),(136,1),(137,1)}
       113:{3,6}:{(100,1),(108,1),(122,1)}
       114:{2,3,6}:{(102,1),(104,1),(125,1),(126,1)}
       115:{1,2,4,6}:{(101,1),(102,1),(103,1),(105,1),(125,1),(126,1),(127,1),(137,1)}
       116:{2,3,5,6}:{(103,1),(106,1),(126,1),(127,1),(138,1)}
       117:{1,2,5,7}:{(104,1),(107,1),(121,1),(125,1),(128,1)}
       118:{3,5,7}:{(105,1),(108,1),(122,1),(126,1),(129,1),(138,1)}
       119:{2,4,7}:{(106,1),(123,1),(127,1),(129,1)}
       120:{1,3,7}:{(107,1),(108,1),(124,1)}
       121:{1,2,5}:{(109,1),(112,1),(130,1),(139,1)}
       122:{3,5}:{(110,1),(113,1),(131,1)}
       123:{2,4}:{(111,1),(131,1)}
       124:{1,3,6}:{(112,1),(113,1),(120,1),(130,1)}
       125:{1,2,6}:{(114,1),(117,1),(132,1)}
       126:{3,6}:{(115,1),(118,1)}
       127:{2,4,6}:{(116,1),(119,1),(133,1),(134,1)}
       128:{1,3,5,7}:{(117,1),(118,1),(120,1),(130,1),(132,1),(135,1),(139,1)}
       129:{3,4,7}:{(118,1),(119,1),(131,1),(133,1),(135,1)}
       130:{1,3,5}:{(121,1),(122,1),(124,1),(136,1)}
       131:{3,4}:{(122,1),(123,1),(136,1)}
       132:{1,3,6}:{(125,1),(126,1),(128,1),(137,1)}
       133:{3,4,6}:{(126,1),(127,1),(129,1),(137,1),(138,1)}
       134:{2,4,5}:{(127,1),(138,1)}
       135:{1,4,7}:{(128,1),(129,1),(136,1),(137,1)}
       136:{1,4}:{(130,1),(131,1)}
       137:{1,4,6}:{(132,1),(133,1),(135,1),(139,1)}
       138:{3,5}:{(133,1),(134,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

 960 :   0:{2,3,5,6,7}:{(1,1),(2,1),(10,1),(11,1),(28,1),(35,1),(108,1)}
         1:{1,2,5,6,7}:{(0,1),(3,1),(4,1),(22,1),(46,1),(50,1),(54,1),(88,1)}
         2:{2,4,6,7}:{(0,1),(5,1),(6,1),(45,1),(53,1),(124,1)}
         3:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(30,1),(34,1),(64,1),(66,1)}
         4:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(10,1),(12,1),(32,1),(36,1),(63,1),(74,1),(107,1)}
         5:{2,4,5,7}:{(2,1),(7,1),(11,1),(133,1)}
         6:{3,4,6,7}:{(2,1),(10,1),(11,1),(12,1),(26,1),(33,1),(132,1)}
         7:{2,4,5,6}:{(5,1),(15,1),(45,1)}
         8:{1,4,6,7}:{(3,1),(16,1),(17,1),(52,1),(85,1),(86,1)}
         9:{1,2,4,5,7}:{(4,1),(5,1),(14,1),(16,1),(18,1),(22,1),(50,1),(52,1),(53,1),(54,1)}
        10:{3,6,7}:{(4,1),(18,1),(84,1),(94,1),(123,1)}
        11:{3,5,7}:{(5,1),(6,1),(15,1),(22,1),(138,1)}
        12:{1,4,6,7}:{(6,1),(19,1),(22,1),(44,1),(52,1),(137,1)}
        13:{2,3,4,6,7}:{(6,1),(20,1),(23,1),(24,1),(45,1),(53,1),(81,1),(84,1),(94,1),(96,1),(120,1)}
        14:{1,2,4,5,6}:{(7,1),(9,1),(25,1),(27,1),(29,1),(59,1),(60,1),(61,1),(63,1),(67,1),(99,1),(105,1),(107,1),(130,1),(133,1),(139,1)}
        15:{3,5,6}:{(7,1),(11,1),(26,1),(27,1)}
        16:{1,4,5,7}:{(8,1),(29,1),(30,1),(105,1)}
        17:{3,4,6,7}:{(8,1),(10,1),(30,1),(32,1),(33,1),(65,1),(104,1)}
        18:{3,5,7}:{(9,1),(10,1),(25,1),(33,1)}
        19:{1,3,6,7}:{(10,1),(12,1),(34,1),(36,1),(62,1),(131,1)}
        20:{2,3,6,7}:{(10,1),(32,1),(35,1),(36,1),(103,1),(106,1)}
        21:{3,4,5,7}:{(11,1),(26,1),(33,1),(37,1),(38,1),(58,1),(76,1)}
        22:{1,5,7}:{(11,1),(12,1),(27,1),(139,1)}
        23:{2,3,5,7}:{(11,1),(13,1),(28,1),(38,1),(39,1),(76,1),(98,1),(130,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(36,1),(39,1),(40,1),(63,1),(74,1),(77,1),(101,1)}
        25:{3,5,6}:{(14,1),(18,1),(41,1),(84,1),(117,1),(121,1),(123,1),(138,1)}
        26:{3,4,6}:{(15,1),(21,1),(44,1),(45,1),(84,1)}
        27:{1,5,6}:{(15,1),(22,1),(44,1)}
        28:{2,3,5,6}:{(15,1),(23,1),(45,1),(46,1),(84,1)}
        29:{1,4,5,6}:{(16,1),(47,1),(86,1)}
        30:{3,5,7}:{(16,1),(17,1),(47,1),(50,1),(121,1)}
        31:{1,3,4,6,7}:{(17,1),(19,1),(49,1),(51,1),(52,1),(80,1),(86,1),(94,1),(123,1),(126,1),(137,1)}
        32:{2,4,6,7}:{(17,1),(20,1),(50,1),(53,1),(87,1),(120,1)}
        33:{3,4,7}:{(18,1),(41,1),(52,1),(53,1),(94,1)}
        34:{1,3,5,7}:{(18,1),(19,1),(22,1),(42,1),(52,1),(54,1),(94,1)}
        35:{2,3,5,7}:{(18,1),(20,1),(43,1),(50,1),(53,1),(54,1),(94,1)}
        36:{1,2,6,7}:{(19,1),(20,1),(54,1),(83,1),(122,1)}
        37:{1,4,5,7}:{(21,1),(22,1),(44,1),(52,1),(55,1),(78,1)}
        38:{2,4,5,7}:{(21,1),(23,1),(45,1),(53,1),(79,1)}
        39:{1,2,5,7}:{(22,1),(23,1),(24,1),(46,1),(57,1),(116,1)}
        40:{1,3,6,7}:{(24,1),(57,1),(84,1),(94,1),(119,1)}
        41:{3,4,6}:{(25,1),(33,1),(58,1),(59,1),(60,1),(102,1),(129,1)}
        42:{1,3,5,6}:{(25,1),(27,1),(34,1),(59,1),(61,1),(62,1),(97,1),(102,1),(128,1),(131,1),(139,1)}
        43:{2,3,5,6}:{(25,1),(35,1),(60,1),(61,1),(67,1),(98,1),(102,1),(103,1),(106,1),(127,1),(130,1)}
        44:{1,4,6}:{(26,1),(27,1),(37,1),(62,1)}
        45:{2,4,6}:{(26,1),(28,1),(38,1)}
        46:{1,2,5,6}:{(27,1),(28,1),(39,1),(63,1),(64,1),(130,1)}
        47:{3,5,6}:{(29,1),(30,1),(65,1),(67,1)}
        48:{3,4,5,7}:{(30,1),(33,1),(58,1),(65,1),(68,1),(69,1),(110,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(66,1),(68,1),(70,1),(97,1),(110,1),(139,1)}
        50:{2,5,7}:{(30,1),(32,1),(67,1),(130,1)}
        51:{1,2,4,6,7}:{(31,1),(32,1),(36,1),(70,1),(71,1),(74,1),(100,1),(107,1),(111,1)}
        52:{1,4,7}:{(33,1),(34,1),(59,1)}
        53:{2,4,7}:{(33,1),(35,1),(60,1)}
        54:{1,2,5,7}:{(34,1),(35,1),(36,1),(61,1),(74,1)}
        55:{1,3,5,7}:{(37,1),(62,1),(72,1),(75,1),(76,1),(97,1)}
        56:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(63,1),(74,1),(75,1),(76,1),(77,1),(99,1),(105,1),(114,1),(130,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(64,1),(76,1),(77,1),(128,1)}
        58:{3,4,5}:{(41,1),(78,1),(79,1),(117,1),(121,1),(138,1)}
        59:{1,4,6}:{(41,1),(42,1),(52,1),(78,1),(136,1)}
        60:{2,4,6}:{(41,1),(43,1),(53,1),(79,1),(135,1)}
        61:{1,2,5,6}:{(42,1),(43,1),(54,1),(82,1),(83,1),(115,1),(116,1),(122,1)}
        62:{1,3,6}:{(44,1),(55,1),(83,1),(84,1)}
        63:{1,2,4,6}:{(44,1),(45,1),(46,1),(56,1),(83,1),(84,1),(85,1),(120,1)}
        64:{1,3,5,6}:{(46,1),(57,1),(84,1),(85,1),(121,1)}
        65:{3,4,6}:{(47,1),(48,1),(86,1),(87,1),(123,1)}
        66:{1,3,5,6}:{(47,1),(49,1),(86,1),(88,1),(123,1)}
        67:{2,5,6}:{(47,1),(50,1),(87,1)}
        68:{1,4,5,7}:{(48,1),(49,1),(52,1),(78,1),(86,1)}
        69:{2,4,5,7}:{(48,1),(50,1),(53,1),(79,1),(87,1),(89,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(51,1),(88,1),(91,1),(115,1)}
        71:{2,3,6,7}:{(51,1),(91,1),(94,1),(118,1),(123,1)}
        72:{1,3,4,7}:{(52,1),(55,1),(80,1),(92,1),(94,1),(96,1)}
        73:{2,3,4,7}:{(53,1),(81,1),(89,1),(93,1),(94,1),(126,1)}
        74:{1,2,4,7}:{(52,1),(53,1),(54,1),(82,1),(94,1)}
        75:{1,2,5,7}:{(55,1),(83,1),(92,1),(95,1),(115,1)}
        76:{3,5,7}:{(56,1),(84,1),(94,1),(96,1),(117,1),(121,1)}
        77:{1,4,7}:{(57,1),(85,1),(96,1),(136,1)}
        78:{1,4,5}:{(58,1),(59,1),(97,1),(139,1)}
        79:{2,4,5}:{(58,1),(60,1),(98,1),(130,1)}
        80:{1,3,4,6}:{(59,1),(62,1),(72,1),(97,1),(100,1),(102,1),(104,1),(129,1)}
        81:{2,3,4,6}:{(60,1),(73,1),(98,1),(101,1),(102,1),(106,1),(129,1),(132,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(61,1),(74,1),(99,1),(102,1)}
        83:{1,2,6}:{(62,1),(75,1),(103,1)}
        84:{3,6}:{(63,1),(76,1)}
        85:{1,4,6}:{(64,1),(77,1),(104,1),(105,1)}
        86:{1,4,6}:{(65,1),(66,1),(68,1)}
        87:{2,4,6}:{(65,1),(67,1),(69,1),(106,1)}
        88:{1,2,5,6}:{(66,1),(67,1),(70,1),(107,1),(108,1),(139,1)}
        89:{2,3,5,7}:{(69,1),(73,1),(98,1),(106,1),(109,1),(110,1)}
        90:{1,2,4,5,7}:{(68,1),(69,1),(70,1),(74,1),(99,1),(107,1),(109,1),(110,1),(111,1),(133,1),(134,1),(139,1)}
        91:{2,3,5,7}:{(70,1),(71,1),(108,1),(110,1),(111,1),(127,1)}
        92:{1,2,4,7}:{(72,1),(75,1),(100,1),(112,1),(114,1)}
        93:{1,2,4,7}:{(73,1),(101,1),(109,1),(113,1),(134,1)}
        94:{3,7}:{(74,1),(102,1)}
        95:{2,3,5,7}:{(75,1),(76,1),(103,1),(112,1),(114,1),(127,1),(130,1)}
        96:{3,4,7}:{(76,1),(77,1),(104,1),(114,1),(129,1)}
        97:{1,3,5}:{(78,1),(80,1),(115,1),(117,1),(121,1)}
        98:{2,3,5}:{(79,1),(81,1),(116,1),(117,1),(138,1)}
        99:{1,2,4,5}:{(78,1),(79,1),(82,1),(115,1),(116,1),(117,1),(135,1),(136,1)}
       100:{1,2,4,6}:{(80,1),(83,1),(92,1),(115,1),(118,1),(120,1),(135,1)}
       101:{1,2,4,6}:{(81,1),(93,1),(116,1),(119,1),(122,1),(136,1),(137,1)}
       102:{3,6}:{(82,1),(94,1),(117,1)}
       103:{2,3,6}:{(83,1),(84,1),(95,1),(120,1)}
       104:{3,4,6}:{(84,1),(85,1),(96,1),(120,1),(121,1)}
       105:{1,4,5}:{(85,1),(121,1)}
       106:{2,3,6}:{(87,1),(89,1),(122,1),(123,1)}
       107:{1,2,4,6}:{(86,1),(87,1),(88,1),(90,1),(122,1),(123,1),(124,1),(137,1)}
       108:{2,3,5,6}:{(88,1),(91,1),(123,1),(124,1),(138,1)}
       109:{1,2,5,7}:{(89,1),(93,1),(116,1),(122,1),(125,1)}
       110:{3,5,7}:{(90,1),(94,1),(117,1),(123,1),(126,1),(138,1)}
       111:{2,4,7}:{(91,1),(124,1),(126,1),(135,1)}
       112:{2,3,7}:{(92,1),(94,1),(118,1)}
       113:{1,3,7}:{(93,1),(94,1),(119,1)}
       114:{2,4,7}:{(95,1),(96,1),(120,1),(135,1)}
       115:{1,2,5}:{(97,1),(100,1),(127,1),(130,1)}
       116:{1,2,5}:{(98,1),(101,1),(128,1),(139,1)}
       117:{3,5}:{(99,1),(102,1),(129,1)}
       118:{2,3,6}:{(100,1),(102,1),(112,1),(127,1)}
       119:{1,3,6}:{(101,1),(102,1),(113,1),(128,1)}
       120:{2,4,6}:{(103,1),(104,1),(114,1),(130,1)}
       121:{3,5}:{(104,1),(105,1),(130,1)}
       122:{1,2,6}:{(106,1),(109,1),(131,1)}
       123:{3,6}:{(107,1),(110,1)}
       124:{2,4,6}:{(108,1),(111,1),(132,1),(133,1)}
       125:{1,3,5,7}:{(109,1),(110,1),(113,1),(128,1),(131,1),(134,1),(139,1)}
       126:{3,4,7}:{(110,1),(111,1),(129,1),(132,1),(134,1)}
       127:{2,3,5}:{(115,1),(117,1),(118,1),(135,1)}
       128:{1,3,5}:{(116,1),(117,1),(119,1),(136,1)}
       129:{3,4}:{(117,1),(135,1),(136,1)}
       130:{2,5}:{(120,1),(121,1)}
       131:{1,3,6}:{(122,1),(123,1),(125,1),(137,1)}
       132:{3,4,6}:{(123,1),(124,1),(126,1),(137,1),(138,1)}
       133:{2,4,5}:{(124,1),(138,1)}
       134:{1,4,7}:{(125,1),(126,1),(136,1),(137,1)}
       135:{2,4}:{(127,1),(129,1)}
       136:{1,4}:{(128,1),(129,1)}
       137:{1,4,6}:{(131,1),(132,1),(134,1),(139,1)}
       138:{3,5}:{(132,1),(133,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

 961 :   0:{2,4,5,6,7}:{(1,1),(7,1),(177,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(193,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(175,1)}
         3:{1,5,6,7}:{(1,1),(6,1),(203,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(19,1),(23,1),(133,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(12,1),(190,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(156,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(15,1),(31,1),(65,1),(108,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(41,1),(167,1),(175,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,6,7}:{(6,1),(18,1),(21,1),(23,1),(171,1)}
        13:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(23,1),(38,1),(46,1),(48,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(21,1),(23,1),(24,1),(48,1),(129,1)}
        15:{1,3,5,6,7}:{(8,1),(23,1),(24,1),(45,1),(50,1),(87,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(25,1),(182,1),(190,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(26,1),(156,1),(185,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(25,1),(28,1),(30,1),(32,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(26,1),(31,1),(32,1),(65,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(32,1),(36,1),(61,1),(62,1),(65,1)}
        21:{1,2,6,7}:{(12,1),(30,1),(33,1),(148,1)}
        22:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(54,1),(62,1)}
        23:{3,6,7}:{(14,1),(32,1),(154,1)}
        24:{1,4,6,7}:{(15,1),(35,1),(36,1),(62,1),(105,1)}
        25:{1,3,5,6}:{(16,1),(18,1),(37,1),(39,1),(41,1),(161,1),(171,1)}
        26:{2,3,5,6}:{(17,1),(19,1),(38,1),(40,1),(41,1),(86,1),(164,1)}
        27:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(39,1),(40,1),(41,1),(51,1),(73,1),(74,1),(86,1),(118,1),(129,1)}
        28:{1,3,4,7}:{(18,1),(37,1),(42,1),(46,1)}
        29:{2,3,4,5,7}:{(19,1),(38,1),(43,1),(46,1),(75,1),(81,1),(125,1),(128,1),(132,1),(164,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(39,1),(42,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(40,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(41,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(48,1),(124,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(71,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(48,1),(50,1),(83,1)}
        36:{1,4,5,7}:{(24,1),(50,1),(51,1)}
        37:{1,3,4,6}:{(25,1),(28,1),(52,1),(53,1),(57,1)}
        38:{2,3,4,6}:{(26,1),(29,1),(54,1),(57,1),(104,1),(154,1),(156,1)}
        39:{1,2,5,6}:{(25,1),(30,1),(53,1),(55,1),(138,1),(148,1)}
        40:{1,2,5,6}:{(26,1),(31,1),(54,1),(56,1),(141,1)}
        41:{3,5,6}:{(27,1),(32,1),(57,1),(143,1),(154,1)}
        42:{1,2,4,7}:{(28,1),(30,1),(53,1),(58,1),(61,1)}
        43:{1,2,4,5,7}:{(29,1),(31,1),(54,1),(59,1),(62,1),(96,1),(100,1),(141,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(55,1),(58,1),(61,1),(65,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(56,1),(62,1)}
        46:{3,4,7}:{(32,1),(57,1),(61,1),(62,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(60,1),(64,1),(92,1),(148,1),(154,1),(191,1),(192,1)}
        48:{2,4,6,7}:{(33,1),(35,1),(61,1),(65,1),(104,1)}
        49:{1,3,4,6,7}:{(34,1),(35,1),(62,1),(64,1),(66,1),(93,1),(102,1),(105,1),(154,1)}
        50:{3,5,7}:{(35,1),(36,1),(65,1),(67,1)}
        51:{1,4,5,6}:{(36,1),(67,1),(105,1)}
        52:{1,3,4,5}:{(37,1),(69,1),(75,1),(158,1),(161,1)}
        53:{1,2,4,6}:{(37,1),(39,1),(42,1),(69,1),(70,1),(73,1)}
        54:{1,2,4,6}:{(38,1),(40,1),(43,1),(71,1),(74,1)}
        55:{2,3,5,6}:{(39,1),(41,1),(44,1),(70,1),(73,1),(86,1),(114,1),(124,1)}
        56:{1,3,5,6}:{(40,1),(41,1),(45,1),(71,1),(74,1),(116,1)}
        57:{3,4,6}:{(41,1),(46,1),(73,1),(74,1),(75,1)}
        58:{2,3,7}:{(42,1),(70,1)}
        59:{1,3,5,7}:{(43,1),(71,1),(79,1),(116,1),(128,1)}
        60:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(72,1),(76,1),(80,1),(85,1),(123,1),(128,1),(199,1),(201,1)}
        61:{2,4,7}:{(44,1),(46,1),(73,1)}
        62:{1,4,7}:{(45,1),(46,1),(74,1)}
        63:{3,4,5,7}:{(46,1),(50,1),(75,1),(81,1),(82,1),(83,1),(128,1)}
        64:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(80,1),(84,1),(85,1),(115,1),(129,1),(204,1)}
        65:{2,5,7}:{(48,1),(50,1),(86,1)}
        66:{1,3,5,7}:{(49,1),(50,1),(82,1),(85,1),(87,1),(116,1),(128,1)}
        67:{3,5,6}:{(50,1),(51,1),(83,1),(86,1)}
        68:{1,4,5,6,7}:{(51,1),(88,1),(131,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(89,1),(95,1),(135,1),(138,1)}
        70:{2,3,6}:{(53,1),(58,1),(89,1)}
        71:{1,3,6}:{(54,1),(59,1),(154,1)}
        72:{1,2,3,5,6}:{(55,1),(56,1),(60,1),(90,1),(92,1),(94,1),(108,1),(138,1),(141,1),(143,1),(148,1),(154,1),(183,1),(186,1)}
        73:{2,4,6}:{(55,1),(57,1),(61,1),(95,1)}
        74:{1,4,6}:{(56,1),(57,1),(62,1),(96,1)}
        75:{3,4,5}:{(57,1),(95,1),(96,1),(143,1)}
        76:{1,2,3,7}:{(58,1),(90,1),(98,1),(206,1)}
        77:{2,3,4,7}:{(58,1),(61,1),(91,1),(98,1),(99,1),(102,1)}
        78:{1,2,3,5,7}:{(59,1),(92,1),(100,1),(141,1),(150,1)}
        79:{1,3,4,7}:{(59,1),(62,1),(93,1),(100,1),(102,1)}
        80:{1,2,4,7}:{(60,1),(61,1),(62,1),(94,1),(102,1),(207,1),(208,1)}
        81:{2,4,5,7}:{(61,1),(63,1),(65,1),(95,1),(99,1),(104,1)}
        82:{1,4,5,7}:{(62,1),(63,1),(66,1),(96,1),(105,1)}
        83:{3,4,6}:{(63,1),(67,1),(104,1),(105,1),(154,1)}
        84:{2,3,4,6,7}:{(64,1),(102,1),(107,1),(140,1),(154,1),(156,1),(192,1),(194,1),(208,1)}
        85:{1,2,5,7}:{(64,1),(65,1),(66,1),(107,1),(108,1),(141,1),(209,1)}
        86:{2,5,6}:{(65,1),(67,1),(104,1)}
        87:{1,3,5,6}:{(66,1),(67,1),(105,1),(108,1),(154,1)}
        88:{3,5,6,7}:{(67,1),(68,1),(106,1),(109,1)}
        89:{2,3,5}:{(69,1),(70,1),(112,1)}
        90:{1,2,3,6}:{(70,1),(76,1),(111,1),(113,1),(196,1)}
        91:{2,3,4,6}:{(70,1),(73,1),(77,1),(112,1),(113,1),(114,1),(117,1),(124,1)}
        92:{1,2,3,6}:{(71,1),(78,1),(115,1),(173,1)}
        93:{1,3,4,6}:{(71,1),(74,1),(79,1),(115,1),(116,1),(117,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(80,1),(117,1),(118,1),(198,1),(200,1)}
        95:{2,4,5}:{(73,1),(75,1),(114,1)}
        96:{1,4,5}:{(74,1),(75,1),(116,1)}
        97:{3,4,5,6}:{(75,1),(83,1),(119,1),(120,1),(121,1),(168,1)}
        98:{1,2,4,7}:{(76,1),(77,1),(113,1),(122,1),(123,1)}
        99:{2,3,5,7}:{(77,1),(81,1),(114,1),(123,1),(124,1),(128,1)}
       100:{1,2,4,7}:{(78,1),(79,1),(115,1),(125,1)}
       101:{1,3,4,5,7}:{(79,1),(82,1),(116,1),(126,1),(127,1),(128,1),(166,1),(167,1),(170,1),(202,1)}
       102:{3,4,7}:{(80,1),(117,1),(128,1)}
       103:{1,2,4,5,7}:{(80,1),(81,1),(82,1),(85,1),(118,1),(123,1),(128,1),(129,1),(132,1),(170,1)}
       104:{2,4,6}:{(81,1),(83,1),(86,1),(124,1)}
       105:{1,4,6}:{(82,1),(83,1),(87,1)}
       106:{3,4,6,7}:{(83,1),(88,1),(121,1),(130,1),(131,1),(176,1)}
       107:{2,3,5,7}:{(84,1),(85,1),(128,1),(132,1),(133,1),(164,1),(205,1)}
       108:{1,2,5,6}:{(85,1),(86,1),(87,1),(129,1),(133,1),(203,1)}
       109:{2,5,6,7}:{(86,1),(88,1),(130,1)}
       110:{1,3,5,6,7}:{(87,1),(88,1),(131,1),(134,1),(166,1),(176,1)}
       111:{1,2,3,5}:{(89,1),(90,1),(135,1),(138,1),(179,1)}
       112:{2,3,4}:{(89,1),(135,1)}
       113:{1,2,4,6}:{(90,1),(91,1),(98,1),(135,1),(137,1),(138,1),(148,1)}
       114:{2,3,5}:{(91,1),(95,1),(138,1),(143,1)}
       115:{1,2,4,6}:{(92,1),(93,1),(100,1),(140,1),(141,1)}
       116:{1,3,5}:{(93,1),(96,1),(141,1),(143,1)}
       117:{3,4,6}:{(94,1),(102,1),(143,1),(154,1)}
       118:{1,2,4,5}:{(94,1),(95,1),(96,1),(138,1),(141,1),(143,1),(182,1),(185,1)}
       119:{2,4,5,6}:{(95,1),(97,1),(104,1),(139,1),(145,1)}
       120:{1,4,5,6}:{(96,1),(97,1),(105,1),(142,1),(146,1)}
       121:{3,4,5,7}:{(97,1),(106,1),(145,1),(146,1),(189,1)}
       122:{1,3,4,7}:{(98,1),(102,1),(137,1),(147,1),(206,1),(207,1)}
       123:{1,2,5,7}:{(98,1),(99,1),(138,1),(147,1),(148,1)}
       124:{2,3,6}:{(99,1),(104,1),(148,1),(154,1)}
       125:{2,3,4,7}:{(100,1),(102,1),(140,1),(150,1),(208,1)}
       126:{1,2,4,5,7}:{(100,1),(101,1),(141,1),(150,1),(151,1),(185,1),(187,1),(208,1)}
       127:{1,3,4,6}:{(101,1),(105,1),(142,1),(151,1),(154,1),(188,1),(190,1)}
       128:{3,5,7}:{(102,1),(103,1),(143,1),(154,1)}
       129:{1,2,4,6}:{(103,1),(104,1),(105,1),(108,1),(148,1),(154,1),(156,1),(190,1)}
       130:{2,4,6,7}:{(104,1),(106,1),(109,1),(145,1),(149,1)}
       131:{1,4,6,7}:{(105,1),(106,1),(110,1),(146,1)}
       132:{2,4,5,7}:{(107,1),(153,1),(156,1),(185,1),(208,1)}
       133:{2,3,5,6}:{(107,1),(108,1),(154,1),(156,1),(193,1)}
       134:{1,2,5,6,7}:{(108,1),(109,1),(110,1),(155,1),(157,1),(187,1),(209,1)}
       135:{1,2,4}:{(111,1),(112,1),(158,1)}
       136:{2,3,4,5}:{(112,1),(114,1),(159,1),(160,1),(167,1)}
       137:{1,3,4,6}:{(113,1),(117,1),(122,1),(158,1),(161,1),(171,1),(196,1),(198,1)}
       138:{1,2,5}:{(113,1),(114,1),(161,1)}
       139:{2,3,5,6}:{(114,1),(119,1),(124,1),(160,1),(162,1),(163,1),(168,1)}
       140:{2,3,4,6}:{(115,1),(117,1),(125,1),(164,1),(173,1),(200,1)}
       141:{1,2,5}:{(115,1),(116,1),(164,1)}
       142:{1,3,5,6}:{(116,1),(120,1),(127,1),(165,1),(166,1),(168,1),(203,1)}
       143:{3,5}:{(117,1),(118,1)}
       144:{1,2,4,5,6}:{(118,1),(119,1),(120,1),(129,1),(162,1),(165,1),(168,1),(169,1),(177,1),(198,1),(200,1),(203,1)}
       145:{2,4,5,7}:{(119,1),(121,1),(130,1),(163,1)}
       146:{1,4,5,7}:{(120,1),(121,1),(131,1),(166,1)}
       147:{1,3,5,7}:{(122,1),(123,1),(128,1),(161,1),(170,1),(171,1)}
       148:{1,2,6}:{(123,1),(124,1),(171,1)}
       149:{2,3,6,7}:{(124,1),(130,1),(163,1),(172,1),(176,1)}
       150:{2,3,5,7}:{(125,1),(126,1),(128,1),(164,1),(173,1)}
       151:{1,2,4,6}:{(126,1),(127,1),(165,1),(173,1),(200,1)}
       152:{1,3,4,6,7}:{(127,1),(131,1),(166,1),(174,1),(176,1),(202,1),(204,1)}
       153:{3,4,5,7}:{(128,1),(132,1),(167,1),(170,1),(175,1),(202,1),(205,1)}
       154:{3,6}:{(128,1),(129,1)}
       155:{1,2,4,6,7}:{(129,1),(130,1),(131,1),(134,1),(169,1),(172,1),(176,1),(178,1),(204,1)}
       156:{2,4,6}:{(132,1),(133,1),(175,1)}
       157:{2,3,5,6,7}:{(133,1),(134,1),(176,1),(178,1),(201,1),(205,1)}
       158:{1,3,4}:{(135,1),(179,1)}
       159:{1,2,4,5}:{(135,1),(136,1),(138,1),(179,1),(180,1),(182,1)}
       160:{2,3,4,6}:{(136,1),(139,1),(180,1),(181,1),(188,1)}
       161:{1,3,5}:{(137,1),(138,1),(143,1),(182,1)}
       162:{1,2,5,6}:{(138,1),(139,1),(148,1),(180,1),(183,1),(184,1)}
       163:{2,3,5,7}:{(139,1),(145,1),(149,1),(181,1),(184,1),(189,1)}
       164:{2,3,5}:{(140,1),(141,1),(143,1),(185,1)}
       165:{1,2,5,6}:{(141,1),(142,1),(151,1),(186,1),(187,1)}
       166:{1,3,5,7}:{(142,1),(146,1),(152,1),(187,1),(189,1),(209,1)}
       167:{3,4,5}:{(143,1),(182,1),(185,1),(188,1)}
       168:{3,5,6}:{(143,1),(144,1),(154,1),(188,1),(189,1)}
       169:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(155,1),(184,1),(187,1),(189,1),(195,1),(207,1),(208,1),(209,1)}
       170:{1,4,5,7}:{(147,1),(153,1),(182,1),(190,1),(207,1),(209,1)}
       171:{1,3,6}:{(147,1),(148,1),(154,1),(190,1)}
       172:{1,2,6,7}:{(148,1),(149,1),(184,1),(191,1)}
       173:{2,3,6}:{(150,1),(151,1),(154,1)}
       174:{1,2,4,6,7}:{(151,1),(152,1),(187,1),(192,1),(208,1)}
       175:{3,4,6}:{(153,1),(154,1),(156,1),(190,1),(193,1)}
       176:{3,6,7}:{(154,1),(155,1),(189,1)}
       177:{2,4,5,6}:{(156,1),(193,1),(195,1)}
       178:{2,4,6,7}:{(156,1),(157,1),(194,1),(195,1),(208,1)}
       179:{1,3,5}:{(158,1),(159,1),(196,1)}
       180:{1,2,4,6}:{(159,1),(160,1),(162,1),(196,1),(197,1),(198,1)}
       181:{2,3,4,7}:{(160,1),(163,1),(197,1),(202,1)}
       182:{1,4,5}:{(161,1),(167,1),(198,1)}
       183:{1,3,5,6}:{(161,1),(162,1),(168,1),(171,1),(196,1),(198,1),(199,1),(203,1)}
       184:{1,2,5,7}:{(162,1),(163,1),(172,1),(197,1),(199,1)}
       185:{2,4,5}:{(164,1),(167,1),(200,1)}
       186:{2,3,5,6}:{(164,1),(165,1),(168,1),(173,1),(200,1),(201,1)}
       187:{1,2,5,7}:{(165,1),(166,1),(174,1),(201,1)}
       188:{3,4,6}:{(167,1),(168,1),(198,1),(200,1),(202,1)}
       189:{3,5,7}:{(168,1),(169,1),(176,1),(202,1)}
       190:{1,4,6}:{(170,1),(171,1),(175,1),(203,1)}
       191:{1,3,6,7}:{(171,1),(172,1),(176,1),(199,1),(204,1)}
       192:{2,3,6,7}:{(173,1),(174,1),(176,1),(201,1)}
       193:{3,5,6}:{(175,1),(177,1),(203,1),(205,1)}
       194:{3,4,6,7}:{(175,1),(176,1),(178,1),(202,1),(204,1),(205,1)}
       195:{2,4,5,7}:{(177,1),(178,1),(205,1)}
       196:{1,3,6}:{(179,1),(180,1),(206,1)}
       197:{1,2,4,7}:{(180,1),(181,1),(184,1),(206,1),(207,1)}
       198:{1,4,6}:{(182,1),(183,1),(188,1),(207,1)}
       199:{1,3,5,7}:{(183,1),(184,1),(189,1),(191,1),(206,1),(207,1),(209,1)}
       200:{2,4,6}:{(185,1),(186,1),(188,1),(208,1)}
       201:{2,3,5,7}:{(186,1),(187,1),(189,1),(192,1),(208,1)}
       202:{3,4,7}:{(188,1),(189,1),(207,1),(208,1)}
       203:{1,5,6}:{(190,1),(193,1),(209,1)}
       204:{1,4,6,7}:{(190,1),(191,1),(194,1),(207,1),(209,1)}
       205:{3,5,7}:{(193,1),(194,1),(195,1),(209,1)}
       206:{1,3,7}:{(196,1),(197,1)}
       207:{1,4,7}:{(198,1),(199,1),(202,1)}
       208:{2,4,7}:{(200,1),(201,1),(202,1)}
       209:{1,5,7}:{(203,1),(204,1),(205,1)}

 962 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(14,1),(18,1),(38,1),(42,1),(74,1),(75,1),(76,1),(102,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(62,1),(63,1),(87,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(27,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(61,1),(88,1),(101,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(15,1),(43,1),(95,1)}
         5:{3,4,6}:{(3,1),(10,1),(12,1),(13,1),(14,1),(47,1),(78,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(44,1),(45,1),(48,1),(76,1)}
         7:{3,5,7}:{(2,1),(3,1),(12,1),(15,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(16,1),(18,1),(35,1),(47,1),(68,1),(70,1),(74,1),(91,1),(95,1),(102,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(32,1),(47,1),(66,1),(72,1),(75,1),(93,1),(95,1),(103,1)}
        10:{3,4,5}:{(5,1),(22,1),(23,1),(61,1),(101,1)}
        11:{4,6,7}:{(4,1),(24,1),(100,1)}
        12:{3,4,7}:{(5,1),(7,1),(26,1),(27,1),(65,1)}
        13:{1,4,6}:{(5,1),(8,1),(22,1),(26,1),(83,1),(100,1)}
        14:{2,4,6}:{(5,1),(9,1),(23,1),(27,1),(86,1),(100,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(26,1),(29,1),(31,1),(62,1),(65,1),(90,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(27,1),(30,1),(31,1),(63,1),(65,1),(90,1)}
        18:{1,2,5,6}:{(8,1),(9,1),(28,1),(31,1),(50,1),(54,1),(81,1),(84,1)}
        19:{2,3,4,6}:{(14,1),(32,1),(33,1),(34,1),(47,1),(66,1),(78,1),(96,1)}
        20:{1,3,4,6}:{(13,1),(35,1),(36,1),(37,1),(47,1),(70,1),(78,1),(96,1)}
        21:{3,4,5,7}:{(10,1),(12,1),(39,1),(40,1),(41,1),(43,1),(77,1),(97,1),(104,1)}
        22:{1,4,5}:{(10,1),(13,1),(35,1),(102,1),(104,1)}
        23:{2,4,5}:{(10,1),(14,1),(32,1),(103,1),(104,1)}
        24:{4,5,7}:{(11,1),(38,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(15,1),(39,1),(43,1),(44,1),(45,1),(80,1),(96,1),(97,1)}
        26:{1,4,7}:{(12,1),(13,1),(16,1),(97,1)}
        27:{2,4,7}:{(12,1),(14,1),(17,1),(97,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(18,1),(42,1),(46,1),(47,1)}
        29:{1,3,6,7}:{(15,1),(16,1),(44,1),(48,1),(70,1),(80,1),(91,1)}
        30:{2,3,6,7}:{(15,1),(17,1),(45,1),(48,1),(66,1),(80,1),(93,1)}
        31:{1,2,5,7}:{(16,1),(17,1),(18,1),(46,1),(48,1)}
        32:{2,3,5}:{(19,1),(23,1),(50,1),(61,1),(101,1)}
        33:{2,3,4,7}:{(19,1),(27,1),(49,1),(51,1),(65,1),(89,1)}
        34:{1,2,4,6}:{(19,1),(50,1),(51,1),(52,1),(81,1),(83,1),(98,1)}
        35:{1,3,5}:{(20,1),(22,1),(54,1),(61,1),(101,1)}
        36:{1,3,4,7}:{(20,1),(26,1),(53,1),(55,1),(65,1),(89,1)}
        37:{1,2,4,6}:{(20,1),(54,1),(55,1),(56,1),(84,1),(86,1),(99,1)}
        38:{4,5,6}:{(24,1),(57,1),(100,1)}
        39:{3,4,6}:{(21,1),(57,1),(58,1),(59,1),(88,1),(100,1)}
        40:{1,4,5,7}:{(21,1),(22,1),(26,1),(53,1),(58,1),(62,1)}
        41:{2,4,5,7}:{(21,1),(23,1),(27,1),(49,1),(59,1),(63,1)}
        42:{1,2,4,5}:{(22,1),(23,1),(28,1),(50,1),(54,1),(61,1),(83,1),(86,1)}
        43:{3,5,7}:{(24,1),(25,1),(57,1),(62,1),(63,1),(101,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(58,1),(62,1),(98,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(59,1),(63,1),(99,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(28,1),(31,1),(65,1)}
        47:{3,6}:{(28,1),(61,1),(65,1)}
        48:{1,2,6,7}:{(29,1),(30,1),(31,1),(81,1),(84,1)}
        49:{2,3,5,7}:{(32,1),(33,1),(41,1),(66,1),(67,1),(77,1)}
        50:{1,2,5}:{(32,1),(34,1),(68,1),(102,1)}
        51:{1,2,4,7}:{(33,1),(34,1),(67,1),(69,1),(92,1)}
        52:{1,3,6}:{(34,1),(47,1),(68,1),(69,1)}
        53:{1,3,5,7}:{(35,1),(36,1),(40,1),(70,1),(71,1),(77,1)}
        54:{1,2,5}:{(35,1),(37,1),(72,1),(103,1)}
        55:{1,2,4,7}:{(36,1),(37,1),(71,1),(73,1),(94,1)}
        56:{2,3,6}:{(37,1),(47,1),(72,1),(73,1)}
        57:{3,5,6}:{(38,1),(39,1),(43,1),(74,1),(75,1)}
        58:{1,4,6}:{(39,1),(40,1),(70,1),(74,1)}
        59:{2,4,6}:{(39,1),(41,1),(66,1),(75,1)}
        60:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(46,1),(67,1),(71,1),(76,1),(77,1),(79,1),(92,1),(94,1),(97,1),(102,1),(103,1),(104,1)}
        61:{3,5}:{(42,1),(47,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(74,1),(102,1)}
        63:{2,5,7}:{(43,1),(45,1),(75,1),(103,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(48,1),(76,1),(79,1),(80,1),(97,1)}
        65:{3,7}:{(46,1),(47,1)}
        66:{2,3,6}:{(49,1),(59,1),(81,1),(88,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(51,1),(81,1),(82,1)}
        68:{1,3,5}:{(50,1),(52,1),(61,1),(83,1)}
        69:{1,3,7}:{(51,1),(52,1),(65,1)}
        70:{1,3,6}:{(53,1),(58,1),(84,1),(88,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(55,1),(84,1),(85,1)}
        72:{2,3,5}:{(54,1),(56,1),(61,1),(86,1)}
        73:{2,3,7}:{(55,1),(56,1),(65,1)}
        74:{1,5,6}:{(57,1),(58,1),(62,1)}
        75:{2,5,6}:{(57,1),(59,1),(63,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(81,1),(84,1),(87,1),(88,1),(98,1),(99,1),(100,1)}
        77:{3,5,7}:{(60,1),(61,1),(65,1),(88,1),(89,1),(101,1)}
        78:{3,4}:{(61,1),(83,1),(86,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(87,1),(90,1)}
        80:{3,6,7}:{(64,1),(65,1),(88,1),(90,1)}
        81:{1,2,6}:{(66,1),(67,1),(91,1)}
        82:{1,3,5,7}:{(67,1),(68,1),(69,1),(77,1),(91,1),(92,1),(102,1)}
        83:{1,4}:{(68,1),(78,1)}
        84:{1,2,6}:{(70,1),(71,1),(93,1)}
        85:{2,3,5,7}:{(71,1),(72,1),(73,1),(77,1),(93,1),(94,1),(103,1)}
        86:{2,4}:{(72,1),(78,1)}
        87:{1,2,5,6}:{(74,1),(75,1),(76,1),(79,1),(95,1),(102,1),(103,1)}
        88:{3,6}:{(76,1),(77,1)}
        89:{3,4,7}:{(77,1),(78,1),(92,1),(94,1),(96,1),(97,1)}
        90:{3,5,7}:{(79,1),(80,1),(95,1),(97,1)}
        91:{1,3,6}:{(81,1),(82,1),(88,1),(98,1)}
        92:{1,4,7}:{(82,1),(83,1),(89,1),(98,1)}
        93:{2,3,6}:{(84,1),(85,1),(88,1),(99,1)}
        94:{2,4,7}:{(85,1),(86,1),(89,1),(99,1)}
        95:{3,5,6}:{(87,1),(88,1),(90,1),(100,1),(101,1)}
        96:{3,4,6}:{(88,1),(89,1),(98,1),(99,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(100,1)}
        98:{1,4,6}:{(91,1),(92,1),(96,1),(102,1)}
        99:{2,4,6}:{(93,1),(94,1),(96,1),(103,1)}
       100:{4,6}:{(95,1),(97,1),(104,1)}
       101:{3,5}:{(96,1),(102,1),(103,1),(104,1)}
       102:{1,5}:{(98,1),(101,1)}
       103:{2,5}:{(99,1),(101,1)}
       104:{4,5}:{(100,1),(101,1)}

 963 :   0:{4,5,6,7}:{(2,1),(51,1),(225,1)}
         1:{3,4,5,6}:{(3,1),(4,1),(5,1),(25,1),(96,1),(162,1),(207,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(7,1),(8,1),(219,1)}
         3:{3,4,5,7}:{(1,1),(6,1),(9,1),(10,1),(38,1),(71,1)}
         4:{1,4,5,6}:{(1,1),(9,1),(11,1),(173,1),(211,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(12,1),(179,1),(214,1)}
         6:{3,4,6,7}:{(2,1),(3,1),(17,1),(18,1),(50,1),(51,1),(207,1)}
         7:{1,5,6,7}:{(2,1),(17,1),(221,1)}
         8:{2,5,6,7}:{(2,1),(18,1),(223,1)}
         9:{1,4,5,7}:{(3,1),(4,1),(17,1),(20,1)}
        10:{2,4,5,7}:{(3,1),(5,1),(18,1),(21,1)}
        11:{1,3,5,6}:{(4,1),(15,1),(20,1),(23,1),(25,1),(144,1),(195,1)}
        12:{2,3,5,6}:{(5,1),(16,1),(21,1),(24,1),(25,1),(150,1),(200,1)}
        13:{1,2,4,5,6}:{(4,1),(5,1),(22,1),(23,1),(24,1),(25,1),(56,1),(57,1),(96,1),(102,1),(155,1),(156,1),(159,1)}
        14:{1,3,4,5}:{(15,1),(26,1),(58,1),(106,1),(144,1)}
        15:{1,3,4,6}:{(11,1),(14,1),(28,1),(29,1),(41,1)}
        16:{2,3,4,6}:{(12,1),(27,1),(30,1),(31,1),(41,1)}
        17:{1,4,6,7}:{(6,1),(7,1),(9,1),(32,1),(211,1)}
        18:{2,4,6,7}:{(6,1),(8,1),(10,1),(33,1),(214,1)}
        19:{1,2,5,6,7}:{(7,1),(8,1),(34,1),(35,1),(122,1),(123,1),(183,1)}
        20:{1,3,5,7}:{(9,1),(11,1),(28,1),(32,1),(36,1),(38,1)}
        21:{2,3,5,7}:{(10,1),(12,1),(30,1),(33,1),(37,1),(38,1)}
        22:{1,2,4,5,7}:{(9,1),(10,1),(13,1),(34,1),(36,1),(37,1),(38,1),(71,1),(73,1),(74,1),(122,1),(123,1)}
        23:{1,2,5,6}:{(11,1),(29,1),(36,1),(39,1),(114,1),(171,1)}
        24:{1,2,5,6}:{(12,1),(31,1),(37,1),(40,1),(119,1),(177,1)}
        25:{3,5,6}:{(13,1),(38,1),(41,1),(131,1),(187,1)}
        26:{1,2,4,5}:{(14,1),(29,1),(42,1),(77,1),(80,1),(114,1)}
        27:{2,3,4,5}:{(16,1),(43,1),(58,1),(138,1),(150,1)}
        28:{1,3,4,7}:{(15,1),(20,1),(44,1),(54,1)}
        29:{1,2,4,6}:{(15,1),(23,1),(26,1),(44,1),(45,1),(56,1)}
        30:{2,3,4,7}:{(16,1),(21,1),(46,1),(54,1)}
        31:{1,2,4,6}:{(16,1),(24,1),(43,1),(46,1),(47,1),(57,1)}
        32:{1,3,6,7}:{(17,1),(20,1),(48,1),(50,1),(195,1)}
        33:{2,3,6,7}:{(18,1),(21,1),(49,1),(50,1),(200,1)}
        34:{1,2,4,6,7}:{(17,1),(18,1),(19,1),(22,1),(48,1),(49,1),(50,1),(51,1),(93,1),(94,1),(159,1)}
        35:{3,5,6,7}:{(19,1),(50,1),(51,1),(95,1),(205,1)}
        36:{1,2,5,7}:{(20,1),(23,1),(44,1),(48,1),(52,1)}
        37:{1,2,5,7}:{(21,1),(24,1),(46,1),(49,1),(53,1)}
        38:{3,5,7}:{(22,1),(25,1),(50,1),(54,1)}
        39:{2,3,5,6}:{(23,1),(25,1),(45,1),(52,1),(56,1),(87,1),(143,1),(155,1)}
        40:{1,3,5,6}:{(24,1),(25,1),(47,1),(53,1),(57,1),(91,1),(149,1),(156,1)}
        41:{3,4,6}:{(25,1),(54,1),(56,1),(57,1),(58,1)}
        42:{2,3,5}:{(26,1),(45,1),(60,1)}
        43:{1,2,4,5}:{(27,1),(31,1),(61,1),(78,1),(109,1),(119,1)}
        44:{1,2,4,7}:{(28,1),(29,1),(36,1),(62,1),(73,1)}
        45:{2,3,6}:{(29,1),(42,1),(62,1)}
        46:{1,2,4,7}:{(30,1),(31,1),(37,1),(65,1),(74,1)}
        47:{1,3,6}:{(31,1),(61,1),(65,1)}
        48:{1,2,6,7}:{(32,1),(36,1),(68,1),(171,1)}
        49:{1,2,6,7}:{(33,1),(37,1),(69,1),(177,1)}
        50:{3,6,7}:{(34,1),(38,1),(187,1)}
        51:{4,6,7}:{(35,1),(71,1),(217,1)}
        52:{2,3,5,7}:{(36,1),(38,1),(39,1),(62,1),(68,1),(73,1),(122,1)}
        53:{1,3,5,7}:{(37,1),(38,1),(40,1),(65,1),(69,1),(74,1),(123,1)}
        54:{3,4,7}:{(38,1),(41,1),(73,1),(74,1)}
        55:{1,2,3,5,6}:{(39,1),(40,1),(63,1),(66,1),(72,1),(76,1),(114,1),(119,1),(131,1),(171,1),(174,1),(177,1),(180,1),(183,1),(187,1)}
        56:{2,4,6}:{(39,1),(41,1),(73,1),(77,1)}
        57:{1,4,6}:{(40,1),(41,1),(74,1),(78,1)}
        58:{3,4,5}:{(41,1),(77,1),(78,1),(131,1)}
        59:{1,2,3,5}:{(42,1),(63,1),(80,1),(114,1),(135,1)}
        60:{2,3,4}:{(42,1),(80,1)}
        61:{1,3,5}:{(43,1),(47,1),(83,1)}
        62:{2,3,7}:{(44,1),(45,1)}
        63:{1,2,3,6}:{(45,1),(59,1),(84,1),(86,1),(165,1)}
        64:{2,3,4,6}:{(45,1),(56,1),(60,1),(85,1),(86,1),(87,1),(101,1),(143,1)}
        65:{1,3,7}:{(46,1),(47,1)}
        66:{1,2,3,6}:{(47,1),(82,1),(88,1),(90,1),(192,1)}
        67:{1,3,4,6}:{(47,1),(57,1),(83,1),(89,1),(90,1),(91,1),(101,1),(149,1)}
        68:{2,3,6,7}:{(48,1),(50,1),(52,1),(93,1),(143,1)}
        69:{1,3,6,7}:{(49,1),(50,1),(53,1),(94,1),(149,1)}
        70:{3,4,6,7}:{(50,1),(51,1),(54,1),(93,1),(94,1),(95,1),(100,1)}
        71:{4,5,7}:{(51,1),(95,1),(96,1)}
        72:{1,2,3,5,7}:{(52,1),(53,1),(55,1),(84,1),(88,1),(92,1),(97,1),(142,1),(148,1),(154,1),(158,1),(198,1),(203,1)}
        73:{2,4,7}:{(52,1),(54,1),(56,1)}
        74:{1,4,7}:{(53,1),(54,1),(57,1)}
        75:{3,4,5,7}:{(54,1),(58,1),(95,1),(98,1),(99,1),(100,1),(158,1),(204,1)}
        76:{1,2,4,6}:{(55,1),(56,1),(57,1),(97,1),(101,1),(102,1),(197,1),(202,1)}
        77:{2,4,5}:{(56,1),(58,1),(87,1)}
        78:{1,4,5}:{(57,1),(58,1),(91,1)}
        79:{3,4,5,6}:{(58,1),(100,1),(103,1),(104,1),(105,1),(163,1),(225,1)}
        80:{1,2,4}:{(59,1),(60,1),(106,1)}
        81:{2,3,4,5}:{(60,1),(87,1),(107,1),(108,1),(162,1)}
        82:{1,2,3,5}:{(61,1),(66,1),(109,1),(119,1),(167,1)}
        83:{1,3,4}:{(61,1),(109,1)}
        84:{1,2,3,7}:{(62,1),(63,1),(111,1),(191,1)}
        85:{2,3,4,7}:{(62,1),(64,1),(73,1),(111,1),(112,1),(126,1)}
        86:{1,2,4,6}:{(63,1),(64,1),(80,1),(111,1),(113,1),(114,1),(171,1)}
        87:{2,3,5}:{(64,1),(77,1),(114,1),(131,1)}
        88:{1,2,3,7}:{(65,1),(66,1),(116,1),(210,1)}
        89:{1,3,4,7}:{(65,1),(67,1),(74,1),(116,1),(117,1),(126,1)}
        90:{1,2,4,6}:{(66,1),(67,1),(109,1),(116,1),(118,1),(119,1),(177,1)}
        91:{1,3,5}:{(67,1),(78,1),(119,1),(131,1)}
        92:{1,2,3,6,7}:{(68,1),(69,1),(72,1),(121,1),(171,1),(177,1),(187,1),(212,1),(215,1)}
        93:{2,4,6,7}:{(68,1),(70,1),(73,1),(122,1),(128,1)}
        94:{1,4,6,7}:{(69,1),(70,1),(74,1),(123,1),(129,1)}
        95:{3,5,7}:{(70,1),(71,1),(122,1),(123,1),(124,1)}
        96:{4,5,6}:{(71,1),(124,1),(217,1)}
        97:{1,2,4,7}:{(72,1),(73,1),(74,1),(76,1),(126,1),(213,1),(216,1)}
        98:{2,4,5,7}:{(73,1),(75,1),(77,1),(112,1),(122,1),(128,1)}
        99:{1,4,5,7}:{(74,1),(75,1),(78,1),(117,1),(123,1),(129,1)}
       100:{3,4,6}:{(75,1),(124,1),(128,1),(129,1),(187,1),(217,1)}
       101:{3,4,6}:{(76,1),(126,1),(131,1),(187,1)}
       102:{1,2,4,5}:{(76,1),(77,1),(78,1),(114,1),(119,1),(131,1),(173,1),(179,1)}
       103:{2,4,5,6}:{(77,1),(79,1),(115,1),(128,1),(133,1)}
       104:{1,4,5,6}:{(78,1),(79,1),(120,1),(129,1),(134,1)}
       105:{3,4,5,7}:{(79,1),(130,1),(133,1),(134,1),(190,1),(230,1)}
       106:{1,3,4}:{(80,1),(135,1)}
       107:{1,2,4,5}:{(80,1),(81,1),(114,1),(135,1),(136,1),(173,1)}
       108:{2,3,4,6}:{(81,1),(115,1),(136,1),(137,1),(189,1)}
       109:{1,2,4}:{(82,1),(83,1),(138,1)}
       110:{1,3,4,5}:{(83,1),(91,1),(139,1),(140,1),(162,1)}
       111:{1,2,4,7}:{(84,1),(85,1),(86,1),(141,1),(142,1)}
       112:{2,3,5,7}:{(85,1),(87,1),(98,1),(142,1),(143,1),(158,1)}
       113:{1,3,4,6}:{(86,1),(101,1),(106,1),(141,1),(144,1),(165,1),(195,1),(197,1)}
       114:{1,2,5}:{(86,1),(87,1),(144,1)}
       115:{2,3,5,6}:{(87,1),(103,1),(108,1),(143,1),(145,1),(146,1),(163,1)}
       116:{1,2,4,7}:{(88,1),(89,1),(90,1),(147,1),(148,1)}
       117:{1,3,5,7}:{(89,1),(91,1),(99,1),(148,1),(149,1),(158,1)}
       118:{2,3,4,6}:{(90,1),(101,1),(138,1),(147,1),(150,1),(192,1),(200,1),(202,1)}
       119:{1,2,5}:{(90,1),(91,1),(150,1)}
       120:{1,3,5,6}:{(91,1),(104,1),(140,1),(149,1),(151,1),(152,1),(163,1)}
       121:{1,2,4,6,7}:{(92,1),(93,1),(94,1),(97,1),(153,1),(154,1),(159,1),(222,1),(224,1)}
       122:{2,5,7}:{(93,1),(95,1),(155,1)}
       123:{1,5,7}:{(94,1),(95,1),(156,1)}
       124:{3,5,6}:{(95,1),(96,1),(100,1),(155,1),(156,1)}
       125:{4,5,6,7}:{(96,1),(157,1),(226,1)}
       126:{3,4,7}:{(97,1),(101,1),(158,1)}
       127:{1,2,4,5,7}:{(97,1),(98,1),(99,1),(102,1),(142,1),(148,1),(154,1),(158,1),(159,1),(194,1),(199,1),(204,1)}
       128:{2,4,6}:{(98,1),(100,1),(143,1),(155,1)}
       129:{1,4,6}:{(99,1),(100,1),(149,1),(156,1)}
       130:{3,4,6,7}:{(100,1),(105,1),(157,1),(160,1),(161,1),(208,1),(226,1)}
       131:{3,5}:{(101,1),(102,1)}
       132:{1,2,4,5,6}:{(102,1),(103,1),(104,1),(145,1),(151,1),(159,1),(163,1),(164,1),(197,1),(202,1),(221,1),(223,1),(225,1)}
       133:{2,4,5,7}:{(103,1),(105,1),(146,1),(160,1)}
       134:{1,4,5,7}:{(104,1),(105,1),(152,1),(161,1)}
       135:{1,3,5}:{(106,1),(107,1),(165,1)}
       136:{1,2,4,6}:{(107,1),(108,1),(145,1),(165,1),(166,1),(197,1)}
       137:{2,3,4,7}:{(108,1),(146,1),(166,1),(209,1)}
       138:{2,3,4}:{(109,1),(167,1)}
       139:{1,2,4,5}:{(109,1),(110,1),(119,1),(167,1),(168,1),(179,1)}
       140:{1,3,4,6}:{(110,1),(120,1),(168,1),(169,1),(189,1)}
       141:{1,3,4,7}:{(111,1),(113,1),(126,1),(170,1),(191,1),(213,1)}
       142:{1,2,5,7}:{(111,1),(112,1),(114,1),(170,1),(171,1)}
       143:{2,3,6}:{(112,1),(128,1),(171,1),(187,1)}
       144:{1,3,5}:{(113,1),(114,1),(131,1),(173,1)}
       145:{1,2,5,6}:{(114,1),(115,1),(136,1),(171,1),(174,1),(175,1)}
       146:{2,3,5,7}:{(115,1),(133,1),(137,1),(172,1),(175,1),(190,1)}
       147:{2,3,4,7}:{(116,1),(118,1),(126,1),(176,1),(210,1),(216,1)}
       148:{1,2,5,7}:{(116,1),(117,1),(119,1),(176,1),(177,1)}
       149:{1,3,6}:{(117,1),(129,1),(177,1),(187,1)}
       150:{2,3,5}:{(118,1),(119,1),(131,1),(179,1)}
       151:{1,2,5,6}:{(119,1),(120,1),(168,1),(177,1),(180,1),(181,1)}
       152:{1,3,5,7}:{(120,1),(134,1),(169,1),(178,1),(181,1),(190,1)}
       153:{3,4,6,7}:{(121,1),(126,1),(182,1),(187,1),(217,1)}
       154:{1,2,5,7}:{(121,1),(122,1),(123,1),(182,1),(183,1),(228,1),(229,1)}
       155:{2,5,6}:{(122,1),(124,1),(128,1)}
       156:{1,5,6}:{(123,1),(124,1),(129,1)}
       157:{3,5,6,7}:{(124,1),(125,1),(130,1),(184,1),(185,1)}
       158:{3,5,7}:{(126,1),(127,1),(131,1),(187,1)}
       159:{1,2,4,6}:{(127,1),(128,1),(129,1),(171,1),(177,1),(183,1),(187,1),(211,1),(214,1),(217,1)}
       160:{2,4,6,7}:{(128,1),(130,1),(133,1),(172,1),(184,1)}
       161:{1,4,6,7}:{(129,1),(130,1),(134,1),(178,1),(185,1)}
       162:{3,4,5}:{(131,1),(173,1),(179,1),(189,1)}
       163:{3,5,6}:{(131,1),(132,1),(187,1),(189,1),(190,1)}
       164:{1,2,4,5,7}:{(132,1),(133,1),(134,1),(175,1),(181,1),(188,1),(190,1),(213,1),(216,1),(228,1),(229,1),(230,1)}
       165:{1,3,6}:{(135,1),(136,1),(191,1)}
       166:{1,2,4,7}:{(136,1),(137,1),(175,1),(191,1),(213,1)}
       167:{2,3,5}:{(138,1),(139,1),(192,1)}
       168:{1,2,4,6}:{(139,1),(140,1),(151,1),(192,1),(193,1),(202,1)}
       169:{1,3,4,7}:{(140,1),(152,1),(193,1),(209,1)}
       170:{1,3,5,7}:{(141,1),(142,1),(144,1),(158,1),(194,1),(195,1)}
       171:{1,2,6}:{(142,1),(143,1),(195,1)}
       172:{2,3,6,7}:{(143,1),(146,1),(160,1),(196,1),(208,1)}
       173:{1,4,5}:{(144,1),(162,1),(197,1)}
       174:{1,3,5,6}:{(144,1),(145,1),(163,1),(165,1),(195,1),(197,1),(198,1),(221,1)}
       175:{1,2,5,7}:{(145,1),(146,1),(166,1),(196,1),(198,1)}
       176:{2,3,5,7}:{(147,1),(148,1),(150,1),(158,1),(199,1),(200,1)}
       177:{1,2,6}:{(148,1),(149,1),(200,1)}
       178:{1,3,6,7}:{(149,1),(152,1),(161,1),(201,1),(208,1)}
       179:{2,4,5}:{(150,1),(162,1),(202,1)}
       180:{2,3,5,6}:{(150,1),(151,1),(163,1),(192,1),(200,1),(202,1),(203,1),(223,1)}
       181:{1,2,5,7}:{(151,1),(152,1),(193,1),(201,1),(203,1)}
       182:{3,5,7}:{(153,1),(154,1),(204,1),(205,1)}
       183:{1,2,5,6}:{(154,1),(155,1),(156,1),(159,1),(205,1),(221,1),(223,1)}
       184:{2,5,6,7}:{(155,1),(157,1),(160,1)}
       185:{1,5,6,7}:{(156,1),(157,1),(161,1)}
       186:{3,4,5,7}:{(158,1),(162,1),(194,1),(199,1),(204,1),(207,1),(209,1),(227,1)}
       187:{3,6}:{(158,1),(159,1)}
       188:{1,2,4,6,7}:{(159,1),(160,1),(161,1),(164,1),(196,1),(201,1),(206,1),(208,1),(222,1),(224,1),(226,1)}
       189:{3,4,6}:{(162,1),(163,1),(197,1),(202,1),(209,1)}
       190:{3,5,7}:{(163,1),(164,1),(208,1),(209,1)}
       191:{1,3,7}:{(165,1),(166,1)}
       192:{2,3,6}:{(167,1),(168,1),(210,1)}
       193:{1,2,4,7}:{(168,1),(169,1),(181,1),(210,1),(216,1)}
       194:{1,4,5,7}:{(170,1),(173,1),(186,1),(211,1),(213,1),(228,1)}
       195:{1,3,6}:{(170,1),(171,1),(187,1),(211,1)}
       196:{1,2,6,7}:{(171,1),(172,1),(175,1),(212,1)}
       197:{1,4,6}:{(173,1),(174,1),(189,1),(213,1)}
       198:{1,3,5,7}:{(174,1),(175,1),(190,1),(191,1),(212,1),(213,1),(228,1)}
       199:{2,4,5,7}:{(176,1),(179,1),(186,1),(214,1),(216,1),(229,1)}
       200:{2,3,6}:{(176,1),(177,1),(187,1),(214,1)}
       201:{1,2,6,7}:{(177,1),(178,1),(181,1),(215,1)}
       202:{2,4,6}:{(179,1),(180,1),(189,1),(216,1)}
       203:{2,3,5,7}:{(180,1),(181,1),(190,1),(210,1),(215,1),(216,1),(229,1)}
       204:{4,5,7}:{(182,1),(217,1)}
       205:{3,5,6}:{(182,1),(183,1),(187,1),(217,1)}
       206:{1,2,5,6,7}:{(183,1),(184,1),(185,1),(188,1),(218,1),(228,1),(229,1)}
       207:{3,4,6}:{(186,1),(187,1),(211,1),(214,1),(217,1),(219,1)}
       208:{3,6,7}:{(187,1),(188,1),(190,1)}
       209:{3,4,7}:{(189,1),(190,1),(213,1),(216,1)}
       210:{2,3,7}:{(192,1),(193,1)}
       211:{1,4,6}:{(194,1),(195,1),(207,1),(221,1)}
       212:{1,3,6,7}:{(195,1),(196,1),(198,1),(208,1),(222,1)}
       213:{1,4,7}:{(197,1),(198,1),(209,1)}
       214:{2,4,6}:{(199,1),(200,1),(207,1),(223,1)}
       215:{2,3,6,7}:{(200,1),(201,1),(203,1),(208,1),(224,1)}
       216:{2,4,7}:{(202,1),(203,1),(209,1)}
       217:{4,6}:{(204,1),(205,1)}
       218:{3,5,6,7}:{(205,1),(206,1),(208,1),(226,1),(227,1)}
       219:{3,5,6}:{(207,1),(221,1),(223,1),(225,1),(227,1)}
       220:{3,4,6,7}:{(207,1),(208,1),(209,1),(222,1),(224,1),(226,1),(227,1)}
       221:{1,5,6}:{(211,1),(219,1),(228,1)}
       222:{1,4,6,7}:{(211,1),(212,1),(213,1),(220,1),(228,1)}
       223:{2,5,6}:{(214,1),(219,1),(229,1)}
       224:{2,4,6,7}:{(214,1),(215,1),(216,1),(220,1),(229,1)}
       225:{4,5,6}:{(217,1),(219,1),(230,1)}
       226:{4,6,7}:{(217,1),(218,1),(230,1)}
       227:{3,5,7}:{(219,1),(220,1),(228,1),(229,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(227,1)}
       229:{2,5,7}:{(223,1),(224,1),(227,1)}
       230:{4,5,7}:{(225,1),(226,1),(227,1)}

 964 :   0:{1,2,5,6,7}:{(1,1),(2,1),(30,1),(31,1),(59,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(17,1),(75,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(19,1),(23,1),(74,1)}
         3:{1,2,4,5,6}:{(5,1),(7,1),(16,1),(25,1),(26,1),(27,1),(42,1),(43,1),(53,1),(74,1),(97,1),(103,1),(104,1)}
         4:{4,6,7}:{(1,1),(8,1),(88,1)}
         5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(10,1),(30,1),(31,1),(33,1),(34,1),(35,1)}
         6:{3,6,7}:{(2,1),(10,1),(87,1)}
         7:{3,5,6}:{(3,1),(10,1),(13,1),(69,1),(87,1),(102,1)}
         8:{4,5,7}:{(4,1),(16,1),(17,1),(79,1),(97,1)}
         9:{3,4,6,7}:{(4,1),(6,1),(17,1),(18,1),(19,1),(20,1),(41,1),(47,1),(79,1),(96,1)}
        10:{3,5,7}:{(5,1),(6,1),(7,1),(20,1)}
        11:{1,3,6,7}:{(6,1),(18,1),(21,1),(23,1),(47,1),(72,1),(95,1)}
        12:{2,3,6,7}:{(6,1),(19,1),(22,1),(23,1),(47,1),(73,1),(94,1)}
        13:{3,4,6}:{(7,1),(20,1),(24,1),(25,1),(26,1),(56,1),(84,1)}
        14:{1,3,5,6}:{(7,1),(21,1),(25,1),(27,1),(42,1),(51,1),(56,1),(72,1),(75,1),(83,1),(95,1),(104,1)}
        15:{2,3,5,6}:{(7,1),(22,1),(26,1),(27,1),(43,1),(52,1),(56,1),(73,1),(75,1),(82,1),(94,1),(103,1)}
        16:{4,5,6}:{(8,1),(28,1),(88,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(30,1),(31,1),(102,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(30,1),(33,1),(57,1),(101,1)}
        19:{2,4,6,7}:{(9,1),(12,1),(31,1),(34,1),(58,1),(100,1)}
        20:{3,4,7}:{(10,1),(13,1),(33,1),(34,1),(66,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(14,1),(30,1),(33,1),(35,1),(63,1),(66,1)}
        22:{2,3,5,7}:{(10,1),(12,1),(15,1),(31,1),(34,1),(35,1),(63,1),(66,1)}
        23:{1,2,6,7}:{(11,1),(12,1),(35,1),(85,1),(86,1)}
        24:{3,4,5}:{(13,1),(36,1),(37,1),(69,1),(102,1)}
        25:{1,4,6}:{(13,1),(14,1),(33,1),(36,1),(88,1),(93,1)}
        26:{2,4,6}:{(13,1),(15,1),(34,1),(37,1),(88,1),(92,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(35,1),(40,1),(67,1),(68,1),(85,1),(86,1)}
        28:{3,5,6}:{(16,1),(17,1),(41,1),(42,1),(43,1)}
        29:{3,4,5,7}:{(17,1),(20,1),(24,1),(41,1),(44,1),(45,1),(78,1),(79,1),(97,1)}
        30:{1,5,7}:{(17,1),(18,1),(42,1),(104,1)}
        31:{2,5,7}:{(17,1),(19,1),(43,1),(103,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(23,1),(46,1),(47,1),(50,1),(74,1),(79,1)}
        33:{1,4,7}:{(20,1),(21,1),(25,1),(79,1)}
        34:{2,4,7}:{(20,1),(22,1),(26,1),(79,1)}
        35:{1,2,5,7}:{(21,1),(22,1),(23,1),(27,1),(50,1)}
        36:{1,4,5}:{(24,1),(25,1),(51,1),(97,1),(104,1)}
        37:{2,4,5}:{(24,1),(26,1),(52,1),(97,1),(103,1)}
        38:{1,3,4,6}:{(25,1),(48,1),(51,1),(54,1),(56,1),(72,1),(84,1),(96,1)}
        39:{2,3,4,6}:{(26,1),(49,1),(52,1),(55,1),(56,1),(73,1),(84,1),(96,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(50,1),(53,1),(56,1)}
        41:{3,4,6}:{(28,1),(29,1),(57,1),(58,1),(87,1),(88,1)}
        42:{1,5,6}:{(28,1),(30,1),(57,1)}
        43:{2,5,6}:{(28,1),(31,1),(58,1)}
        44:{1,4,5,7}:{(29,1),(30,1),(33,1),(36,1),(57,1),(60,1)}
        45:{2,4,5,7}:{(29,1),(31,1),(34,1),(37,1),(58,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(32,1),(59,1),(63,1)}
        47:{3,6,7}:{(32,1),(63,1),(66,1),(87,1)}
        48:{1,3,4,7}:{(33,1),(38,1),(60,1),(64,1),(66,1),(91,1)}
        49:{2,3,4,7}:{(34,1),(39,1),(61,1),(65,1),(66,1),(91,1)}
        50:{1,2,4,7}:{(33,1),(34,1),(35,1),(40,1),(66,1)}
        51:{1,3,5}:{(36,1),(38,1),(67,1),(69,1),(102,1)}
        52:{2,3,5}:{(37,1),(39,1),(68,1),(69,1),(102,1)}
        53:{1,2,4,5}:{(36,1),(37,1),(40,1),(67,1),(68,1),(69,1),(92,1),(93,1)}
        54:{1,2,4,6}:{(38,1),(64,1),(67,1),(70,1),(85,1),(92,1),(100,1)}
        55:{1,2,4,6}:{(39,1),(65,1),(68,1),(71,1),(86,1),(93,1),(101,1)}
        56:{3,6}:{(40,1),(66,1),(69,1)}
        57:{1,4,6}:{(41,1),(42,1),(44,1),(72,1)}
        58:{2,4,6}:{(41,1),(43,1),(45,1),(73,1)}
        59:{1,2,5,6}:{(42,1),(43,1),(46,1),(74,1),(75,1),(103,1),(104,1)}
        60:{1,3,5,7}:{(44,1),(48,1),(51,1),(72,1),(76,1),(78,1)}
        61:{2,3,5,7}:{(45,1),(49,1),(52,1),(73,1),(77,1),(78,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(53,1),(74,1),(76,1),(77,1),(78,1),(79,1),(97,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5,7}:{(46,1),(47,1),(75,1),(79,1)}
        64:{1,2,4,7}:{(48,1),(54,1),(76,1),(80,1),(98,1)}
        65:{1,2,4,7}:{(49,1),(55,1),(77,1),(81,1),(99,1)}
        66:{3,7}:{(50,1),(56,1)}
        67:{1,2,5}:{(51,1),(54,1),(82,1),(103,1)}
        68:{1,2,5}:{(52,1),(55,1),(83,1),(104,1)}
        69:{3,5}:{(53,1),(56,1),(84,1)}
        70:{2,3,6}:{(54,1),(56,1),(80,1),(82,1)}
        71:{1,3,6}:{(55,1),(56,1),(81,1),(83,1)}
        72:{1,3,6}:{(57,1),(60,1),(85,1),(87,1)}
        73:{2,3,6}:{(58,1),(61,1),(86,1),(87,1)}
        74:{1,2,4,6}:{(57,1),(58,1),(59,1),(62,1),(85,1),(86,1),(87,1),(88,1),(100,1),(101,1)}
        75:{3,5,6}:{(59,1),(63,1),(87,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(60,1),(64,1),(67,1),(85,1),(89,1)}
        77:{1,2,5,7}:{(61,1),(65,1),(68,1),(86,1),(90,1)}
        78:{3,5,7}:{(62,1),(66,1),(69,1),(87,1),(91,1),(102,1)}
        79:{4,7}:{(63,1),(88,1)}
        80:{2,3,7}:{(64,1),(66,1),(70,1)}
        81:{1,3,7}:{(65,1),(66,1),(71,1)}
        82:{2,3,5}:{(67,1),(69,1),(70,1),(92,1)}
        83:{1,3,5}:{(68,1),(69,1),(71,1),(93,1)}
        84:{3,4}:{(69,1),(92,1),(93,1)}
        85:{1,2,6}:{(72,1),(76,1),(94,1)}
        86:{1,2,6}:{(73,1),(77,1),(95,1)}
        87:{3,6}:{(74,1),(78,1)}
        88:{4,6}:{(75,1),(79,1),(97,1)}
        89:{2,3,5,7}:{(76,1),(78,1),(80,1),(82,1),(94,1),(98,1),(103,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(81,1),(83,1),(95,1),(99,1),(104,1)}
        91:{3,4,7}:{(78,1),(79,1),(84,1),(96,1),(98,1),(99,1)}
        92:{2,4}:{(82,1),(84,1)}
        93:{1,4}:{(83,1),(84,1)}
        94:{2,3,6}:{(85,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(86,1),(87,1),(90,1),(101,1)}
        96:{3,4,6}:{(87,1),(88,1),(91,1),(100,1),(101,1),(102,1)}
        97:{4,5}:{(88,1),(102,1)}
        98:{2,4,7}:{(89,1),(91,1),(92,1),(100,1)}
        99:{1,4,7}:{(90,1),(91,1),(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(96,1),(98,1),(103,1)}
       101:{1,4,6}:{(95,1),(96,1),(99,1),(104,1)}
       102:{3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{1,5}:{(101,1),(102,1)}

 965 :   0:{2,4,5,6}:{(3,1),(4,1),(27,1),(33,1),(86,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(27,1),(38,1),(77,1),(89,1),(128,1),(141,1)}
         2:{2,5,6,7}:{(9,1),(11,1),(98,1),(102,1)}
         3:{2,4,5,7}:{(0,1),(11,1),(12,1),(46,1),(49,1),(102,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(13,1)}
         5:{3,4,5}:{(10,1),(16,1),(17,1),(62,1)}
         6:{2,3,5}:{(1,1),(17,1),(19,1),(62,1),(151,1),(162,1)}
         7:{2,3,4,7}:{(1,1),(18,1),(20,1),(49,1),(104,1),(117,1),(150,1),(163,1)}
         8:{1,2,4,6}:{(1,1),(19,1),(20,1),(21,1),(63,1),(65,1),(118,1)}
         9:{3,5,6,7}:{(2,1),(23,1),(24,1),(28,1),(70,1),(73,1)}
        10:{3,4,6}:{(4,1),(5,1),(25,1),(26,1),(27,1),(77,1)}
        11:{2,4,6,7}:{(2,1),(3,1),(24,1),(28,1)}
        12:{3,5,7}:{(3,1),(4,1),(25,1),(28,1),(29,1)}
        13:{1,5,6}:{(4,1),(26,1),(29,1)}
        14:{2,3,5,6}:{(4,1),(6,1),(27,1),(30,1),(31,1),(38,1),(77,1),(86,1),(140,1)}
        15:{3,4,5,7}:{(5,1),(25,1),(34,1),(35,1),(36,1),(73,1),(88,1),(92,1),(123,1),(172,1),(180,1)}
        16:{1,4,5}:{(5,1),(26,1),(32,1)}
        17:{2,4,5}:{(5,1),(6,1),(27,1),(180,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(36,1),(38,1),(39,1),(88,1),(143,1),(167,1),(171,1)}
        19:{1,2,5}:{(6,1),(8,1),(40,1),(142,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(39,1),(41,1),(91,1),(181,1)}
        21:{1,3,6}:{(8,1),(40,1),(41,1),(77,1)}
        22:{1,3,4}:{(32,1),(43,1),(89,1)}
        23:{1,5,6,7}:{(9,1),(44,1),(51,1),(101,1)}
        24:{4,6,7}:{(9,1),(46,1)}
        25:{3,4,7}:{(10,1),(12,1),(48,1),(49,1),(104,1)}
        26:{1,4,6}:{(10,1),(13,1),(16,1),(45,1),(48,1)}
        27:{2,4,6}:{(10,1),(14,1),(17,1),(49,1),(161,1)}
        28:{3,6,7}:{(11,1),(12,1),(51,1)}
        29:{1,5,7}:{(12,1),(13,1),(48,1),(51,1)}
        30:{2,3,5,7}:{(12,1),(14,1),(49,1),(52,1),(53,1),(102,1),(104,1),(152,1)}
        31:{1,2,5,6}:{(13,1),(14,1),(19,1),(50,1),(53,1),(54,1),(63,1),(151,1),(188,1)}
        32:{1,3,5}:{(16,1),(22,1),(45,1),(57,1),(62,1)}
        33:{4,5,6}:{(46,1),(58,1),(161,1)}
        34:{3,4,6}:{(15,1),(58,1),(59,1),(60,1),(116,1),(161,1)}
        35:{1,4,5,7}:{(15,1),(16,1),(48,1),(56,1),(59,1),(101,1),(119,1),(146,1)}
        36:{2,4,5,7}:{(15,1),(17,1),(18,1),(49,1),(60,1),(102,1),(120,1),(147,1)}
        37:{1,2,4,5}:{(16,1),(17,1),(19,1),(50,1),(57,1),(62,1),(65,1),(108,1),(114,1),(151,1)}
        38:{2,3,6}:{(18,1),(60,1),(63,1),(116,1),(188,1)}
        39:{1,2,5,7}:{(18,1),(19,1),(20,1),(63,1),(64,1),(164,1),(184,1)}
        40:{1,3,5}:{(19,1),(21,1),(62,1),(65,1)}
        41:{1,3,7}:{(20,1),(21,1),(104,1),(194,1)}
        42:{1,3,4,7}:{(22,1),(56,1),(66,1),(67,1),(117,1),(146,1),(185,1),(203,1)}
        43:{1,2,4}:{(22,1),(57,1),(68,1),(114,1)}
        44:{1,4,6,7}:{(23,1),(24,1),(69,1),(70,1)}
        45:{1,3,6}:{(26,1),(32,1),(71,1),(72,1),(77,1)}
        46:{4,5,7}:{(24,1),(33,1),(73,1),(172,1)}
        47:{3,4,6,7}:{(24,1),(25,1),(28,1),(34,1),(70,1),(73,1),(74,1),(75,1),(123,1),(130,1),(172,1)}
        48:{1,4,7}:{(25,1),(26,1),(29,1),(71,1)}
        49:{2,4,7}:{(25,1),(27,1),(30,1),(172,1)}
        50:{1,2,4,6}:{(26,1),(27,1),(31,1),(37,1),(72,1),(76,1),(77,1),(80,1),(128,1)}
        51:{1,6,7}:{(28,1),(29,1)}
        52:{2,3,6,7}:{(28,1),(30,1),(38,1),(75,1),(78,1),(130,1),(167,1)}
        53:{1,2,5,7}:{(29,1),(30,1),(31,1),(76,1),(78,1),(79,1),(171,1)}
        54:{1,3,5,6}:{(31,1),(40,1),(77,1),(79,1),(80,1),(90,1),(132,1),(140,1),(142,1),(174,1),(175,1)}
        55:{1,4,5,6}:{(33,1),(69,1),(81,1),(85,1),(135,1)}
        56:{1,3,5,7}:{(32,1),(35,1),(42,1),(71,1),(82,1),(83,1),(88,1),(93,1),(207,1)}
        57:{1,2,5}:{(32,1),(43,1),(72,1),(84,1)}
        58:{3,5,6}:{(33,1),(34,1),(73,1),(85,1),(86,1)}
        59:{1,4,6}:{(34,1),(35,1),(82,1),(85,1)}
        60:{2,4,6}:{(34,1),(36,1),(38,1),(86,1)}
        61:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(39,1),(76,1),(83,1),(87,1),(88,1),(91,1),(129,1),(134,1),(139,1),(142,1),(144,1),(168,1),(171,1),(172,1),(179,1),(180,1),(198,1),(207,1)}
        62:{3,5}:{(37,1),(77,1),(89,1)}
        63:{1,2,6}:{(38,1),(39,1),(90,1)}
        64:{1,3,5,7}:{(39,1),(40,1),(41,1),(88,1),(90,1),(91,1),(142,1),(182,1),(196,1),(207,1)}
        65:{1,4}:{(40,1),(89,1)}
        66:{1,3,4,6}:{(42,1),(82,1),(93,1),(94,1),(135,1),(141,1),(177,1),(183,1),(201,1)}
        67:{1,2,4,7}:{(42,1),(43,1),(83,1),(94,1),(95,1),(139,1)}
        68:{2,3}:{(43,1)}
        69:{1,4,5,7}:{(44,1),(46,1),(55,1),(96,1),(101,1),(146,1)}
        70:{3,6,7}:{(44,1),(96,1),(98,1)}
        71:{1,3,7}:{(45,1),(48,1),(99,1),(104,1)}
        72:{1,2,6}:{(45,1),(57,1),(99,1),(100,1)}
        73:{3,5,7}:{(46,1),(47,1),(58,1),(101,1),(102,1)}
        74:{1,4,6,7}:{(47,1),(48,1),(51,1),(59,1),(97,1),(101,1),(146,1)}
        75:{2,4,6,7}:{(47,1),(49,1),(52,1),(60,1),(98,1),(102,1),(147,1)}
        76:{1,2,4,7}:{(48,1),(49,1),(50,1),(53,1),(99,1),(104,1),(107,1),(150,1)}
        77:{3,6}:{(50,1),(62,1),(104,1)}
        78:{1,2,6,7}:{(51,1),(52,1),(53,1),(63,1),(106,1),(184,1),(188,1)}
        79:{1,3,5,7}:{(53,1),(54,1),(104,1),(106,1),(107,1),(152,1),(154,1),(155,1)}
        80:{1,4,6}:{(54,1),(65,1),(105,1),(107,1),(108,1),(161,1)}
        81:{3,5,6}:{(55,1),(96,1),(109,1),(111,1)}
        82:{1,3,6}:{(56,1),(59,1),(112,1),(116,1),(209,1)}
        83:{1,2,5,7}:{(56,1),(57,1),(67,1),(99,1),(112,1),(113,1),(121,1)}
        84:{2,3,5}:{(57,1),(62,1),(68,1),(100,1),(114,1),(151,1)}
        85:{1,5,6}:{(58,1),(59,1),(101,1)}
        86:{2,5,6}:{(58,1),(60,1),(102,1)}
        87:{1,2,4,6}:{(59,1),(60,1),(61,1),(63,1),(112,1),(115,1),(116,1),(118,1),(156,1),(160,1),(161,1),(188,1),(205,1),(209,1)}
        88:{3,5,7}:{(61,1),(62,1),(104,1),(116,1),(117,1),(162,1),(165,1),(185,1)}
        89:{3,4}:{(62,1),(65,1),(114,1)}
        90:{1,3,6}:{(63,1),(64,1),(116,1),(118,1),(209,1)}
        91:{1,4,7}:{(64,1),(65,1),(117,1),(118,1),(195,1)}
        92:{3,4,5}:{(109,1),(119,1),(120,1),(165,1)}
        93:{1,3,5}:{(66,1),(119,1),(121,1),(162,1),(165,1),(206,1)}
        94:{1,2,4,6}:{(66,1),(67,1),(112,1),(121,1),(122,1),(160,1),(166,1)}
        95:{2,3,7}:{(67,1),(68,1),(122,1),(185,1)}
        96:{3,5,7}:{(69,1),(70,1),(81,1),(123,1),(125,1)}
        97:{1,3,6,7}:{(70,1),(71,1),(74,1),(82,1),(124,1),(126,1),(130,1)}
        98:{2,6,7}:{(70,1),(125,1)}
        99:{1,2,7}:{(71,1),(72,1),(127,1)}
       100:{2,3,6}:{(72,1),(77,1),(84,1),(127,1),(128,1)}
       101:{1,5,7}:{(73,1),(74,1),(85,1)}
       102:{2,5,7}:{(73,1),(75,1),(86,1)}
       103:{1,2,4,6,7}:{(74,1),(75,1),(76,1),(78,1),(87,1),(126,1),(129,1),(130,1),(133,1),(168,1),(170,1),(172,1)}
       104:{3,7}:{(76,1),(77,1)}
       105:{3,4,6}:{(77,1),(80,1),(89,1),(128,1),(131,1),(132,1),(174,1)}
       106:{1,3,6,7}:{(78,1),(79,1),(90,1),(130,1),(133,1),(174,1),(196,1)}
       107:{1,4,7}:{(79,1),(80,1),(131,1),(172,1)}
       108:{1,4,5}:{(80,1),(132,1),(142,1),(180,1)}
       109:{3,4,6}:{(81,1),(92,1),(123,1),(135,1),(136,1),(177,1)}
       110:{1,3,5,6}:{(81,1),(82,1),(85,1),(93,1),(124,1),(135,1),(137,1),(140,1),(177,1)}
       111:{2,5,6}:{(81,1),(125,1),(136,1)}
       112:{1,2,6}:{(82,1),(83,1),(138,1)}
       113:{2,3,5,7}:{(83,1),(84,1),(88,1),(95,1),(127,1),(138,1),(139,1),(145,1),(171,1),(179,1)}
       114:{2,4}:{(84,1),(89,1)}
       115:{1,2,5,6}:{(85,1),(86,1),(87,1),(129,1),(140,1),(142,1),(175,1),(179,1),(199,1)}
       116:{3,6}:{(87,1),(88,1)}
       117:{3,4,7}:{(88,1),(89,1),(91,1),(139,1),(141,1),(172,1),(183,1)}
       118:{1,4,6}:{(90,1),(91,1),(141,1),(142,1)}
       119:{1,4,5}:{(92,1),(93,1),(135,1),(180,1)}
       120:{2,4,5}:{(92,1),(136,1),(143,1)}
       121:{1,2,5}:{(93,1),(94,1),(145,1),(179,1)}
       122:{2,3,6}:{(94,1),(95,1),(145,1),(177,1)}
       123:{3,4,7}:{(96,1),(109,1),(146,1),(147,1),(185,1)}
       124:{1,3,5,7}:{(96,1),(97,1),(101,1),(110,1),(146,1),(148,1),(152,1),(185,1)}
       125:{2,5,7}:{(96,1),(98,1),(111,1),(147,1)}
       126:{1,2,6,7}:{(97,1),(98,1),(99,1),(112,1),(148,1),(149,1),(209,1)}
       127:{2,3,7}:{(99,1),(100,1),(104,1),(150,1)}
       128:{2,4,6}:{(100,1),(105,1),(114,1),(150,1),(151,1),(188,1)}
       129:{1,2,5,7}:{(101,1),(102,1),(103,1),(115,1),(152,1),(155,1),(187,1)}
       130:{3,6,7}:{(103,1),(104,1),(116,1),(152,1),(185,1)}
       131:{3,4,7}:{(104,1),(105,1),(107,1),(150,1),(154,1)}
       132:{3,5}:{(105,1),(108,1),(151,1)}
       133:{1,4,6,7}:{(106,1),(107,1),(118,1),(153,1),(155,1),(156,1),(203,1),(209,1)}
       134:{1,4,5,7}:{(107,1),(108,1),(154,1),(155,1),(156,1),(189,1)}
       135:{1,4,6}:{(109,1),(110,1),(119,1),(146,1),(161,1)}
       136:{2,4,6}:{(109,1),(111,1),(120,1),(147,1),(157,1)}
       137:{1,2,5,6}:{(110,1),(111,1),(112,1),(121,1),(148,1),(158,1),(159,1),(206,1),(209,1)}
       138:{2,3,6}:{(112,1),(113,1),(116,1),(160,1),(188,1)}
       139:{2,4,7}:{(113,1),(114,1),(117,1),(160,1),(166,1)}
       140:{3,5,6}:{(115,1),(116,1),(152,1),(161,1),(162,1)}
       141:{3,4,6}:{(116,1),(117,1),(118,1),(160,1),(161,1),(162,1)}
       142:{1,5}:{(118,1),(162,1)}
       143:{2,3,5}:{(120,1),(157,1),(163,1),(164,1),(165,1)}
       144:{1,2,4,5}:{(119,1),(120,1),(121,1),(158,1),(164,1),(165,1),(166,1),(193,1),(195,1),(206,1)}
       145:{2,3,5}:{(121,1),(122,1),(165,1),(166,1)}
       146:{1,4,7}:{(123,1),(124,1),(135,1),(172,1)}
       147:{2,4,7}:{(123,1),(125,1),(136,1),(167,1)}
       148:{1,2,5,7}:{(124,1),(125,1),(126,1),(137,1),(168,1),(169,1),(207,1)}
       149:{2,3,6,7}:{(126,1),(127,1),(130,1),(138,1),(169,1),(170,1),(208,1)}
       150:{2,4,7}:{(127,1),(128,1),(131,1),(171,1)}
       151:{2,5}:{(128,1),(132,1)}
       152:{3,5,7}:{(129,1),(130,1),(140,1),(172,1)}
       153:{3,4,6,7}:{(130,1),(131,1),(133,1),(141,1),(170,1),(172,1),(173,1),(174,1),(197,1),(200,1),(208,1)}
       154:{3,5,7}:{(131,1),(132,1),(134,1),(171,1),(174,1)}
       155:{1,5,7}:{(133,1),(142,1),(173,1),(175,1)}
       156:{1,4,6}:{(134,1),(174,1),(175,1),(200,1)}
       157:{2,3,6}:{(136,1),(143,1),(167,1),(176,1),(177,1)}
       158:{1,2,4,6}:{(135,1),(136,1),(137,1),(144,1),(168,1),(176,1),(177,1),(178,1),(201,1)}
       159:{2,3,5,6}:{(137,1),(138,1),(140,1),(145,1),(169,1),(177,1),(178,1),(179,1),(199,1),(202,1),(208,1)}
       160:{2,4,6}:{(138,1),(139,1),(141,1),(179,1)}
       161:{4,6}:{(140,1),(172,1),(180,1)}
       162:{3,5}:{(141,1),(142,1),(179,1),(180,1)}
       163:{2,3,4}:{(143,1),(181,1),(183,1)}
       164:{1,2,5}:{(143,1),(176,1),(181,1),(182,1)}
       165:{3,5}:{(144,1),(177,1),(183,1)}
       166:{2,4}:{(145,1),(183,1)}
       167:{2,3,7}:{(147,1),(157,1),(184,1),(185,1)}
       168:{1,2,4,7}:{(146,1),(147,1),(148,1),(158,1),(184,1),(185,1),(186,1),(203,1)}
       169:{2,3,5,7}:{(148,1),(149,1),(152,1),(159,1),(185,1),(186,1),(187,1),(204,1)}
       170:{2,4,6,7}:{(149,1),(150,1),(153,1),(160,1),(186,1),(187,1),(188,1),(205,1)}
       171:{2,5,7}:{(150,1),(151,1),(154,1),(188,1)}
       172:{4,7}:{(152,1),(161,1)}
       173:{3,5,7}:{(153,1),(155,1),(162,1),(187,1),(189,1),(190,1)}
       174:{3,6}:{(154,1),(156,1),(188,1)}
       175:{1,5,6}:{(155,1),(156,1),(190,1),(209,1)}
       176:{1,2,6}:{(157,1),(164,1),(184,1),(191,1)}
       177:{3,6}:{(158,1),(165,1),(185,1)}
       178:{2,4,6}:{(159,1),(161,1),(166,1),(186,1),(192,1),(193,1)}
       179:{2,5}:{(160,1),(162,1)}
       180:{4,5}:{(161,1),(162,1)}
       181:{1,2,4}:{(163,1),(164,1),(194,1),(195,1)}
       182:{1,3,5}:{(164,1),(165,1),(191,1),(194,1),(195,1),(206,1)}
       183:{3,4}:{(165,1),(166,1),(195,1)}
       184:{1,2,7}:{(167,1),(176,1),(196,1)}
       185:{3,7}:{(168,1),(177,1)}
       186:{2,4,7}:{(169,1),(172,1),(178,1),(197,1)}
       187:{2,5,7}:{(170,1),(173,1),(179,1),(199,1)}
       188:{2,6}:{(171,1),(174,1)}
       189:{4,5,7}:{(172,1),(173,1),(180,1),(200,1)}
       190:{3,5,6}:{(173,1),(174,1),(175,1),(199,1),(200,1),(208,1)}
       191:{1,3,6}:{(176,1),(177,1),(182,1),(196,1),(201,1)}
       192:{3,4,6}:{(177,1),(178,1),(183,1),(197,1),(201,1),(202,1),(208,1)}
       193:{2,4,5}:{(178,1),(179,1),(180,1),(202,1)}
       194:{1,3}:{(181,1)}
       195:{1,4}:{(182,1),(183,1)}
       196:{1,3,7}:{(184,1),(185,1),(191,1),(203,1)}
       197:{3,4,7}:{(185,1),(186,1),(192,1),(203,1),(204,1)}
       198:{2,4,5,7}:{(186,1),(187,1),(189,1),(193,1),(204,1),(205,1)}
       199:{2,5,6}:{(187,1),(188,1),(190,1),(205,1)}
       200:{4,6}:{(189,1),(190,1)}
       201:{1,4,6}:{(191,1),(192,1),(195,1),(203,1),(206,1),(209,1)}
       202:{3,5}:{(192,1),(193,1),(206,1)}
       203:{1,4,7}:{(196,1),(197,1),(201,1),(207,1)}
       204:{3,5,7}:{(197,1),(198,1),(202,1),(207,1),(208,1)}
       205:{2,4,6}:{(198,1),(199,1),(200,1),(208,1)}
       206:{1,5}:{(201,1),(202,1)}
       207:{1,5,7}:{(203,1),(204,1),(206,1),(209,1)}
       208:{3,6}:{(204,1),(205,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

 966 :   0:{2,5,6,7}:{(2,1),(4,1),(80,1),(92,1)}
         1:{2,3,4,7}:{(6,1),(7,1),(8,1),(90,1),(96,1),(98,1),(153,1),(189,1)}
         2:{3,5,6,7}:{(0,1),(9,1),(11,1),(17,1),(50,1),(58,1)}
         3:{3,4,5,7}:{(13,1),(14,1),(15,1),(21,1),(54,1),(58,1),(64,1),(65,1),(109,1),(170,1),(172,1)}
         4:{2,4,6,7}:{(0,1),(11,1),(16,1),(17,1)}
         5:{2,4,5,6}:{(12,1),(16,1),(18,1),(62,1),(70,1)}
         6:{2,3,5,7}:{(1,1),(15,1),(19,1),(20,1),(22,1),(64,1),(118,1),(160,1),(200,1)}
         7:{2,3,4,6}:{(1,1),(19,1),(22,1),(23,1),(70,1),(125,1),(131,1),(135,1),(177,1)}
         8:{1,2,4,7}:{(1,1),(20,1),(23,1),(24,1),(73,1),(121,1)}
         9:{1,5,6,7}:{(2,1),(25,1),(37,1),(91,1)}
        10:{1,3,4,7}:{(27,1),(28,1),(29,1),(48,1),(96,1),(136,1),(180,1),(202,1)}
        11:{4,6,7}:{(2,1),(30,1)}
        12:{4,5,6}:{(30,1),(32,1),(150,1)}
        13:{3,4,6}:{(3,1),(32,1),(33,1),(34,1),(95,1),(150,1)}
        14:{1,4,5,7}:{(3,1),(27,1),(33,1),(44,1),(86,1),(91,1),(97,1),(136,1)}
        15:{2,4,5,7}:{(3,1),(6,1),(34,1),(45,1),(87,1),(92,1),(98,1),(137,1)}
        16:{2,4,5,7}:{(4,1),(5,1),(30,1),(36,1),(92,1),(98,1)}
        17:{3,6,7}:{(4,1),(36,1),(37,1)}
        18:{3,5,6}:{(5,1),(36,1),(39,1),(40,1)}
        19:{2,3,6}:{(6,1),(34,1),(42,1),(95,1),(206,1)}
        20:{1,2,5,7}:{(6,1),(8,1),(42,1),(43,1),(46,1),(144,1),(179,1)}
        21:{3,4,5}:{(39,1),(44,1),(45,1),(106,1)}
        22:{2,3,5}:{(7,1),(45,1),(46,1),(106,1),(151,1),(192,1)}
        23:{1,2,4,6}:{(7,1),(8,1),(42,1),(46,1),(47,1),(104,1),(107,1)}
        24:{1,3,7}:{(8,1),(47,1),(147,1),(153,1)}
        25:{1,4,6,7}:{(9,1),(11,1),(49,1),(50,1)}
        26:{1,4,5,6}:{(12,1),(49,1),(51,1),(61,1),(113,1)}
        27:{1,3,5,7}:{(10,1),(14,1),(52,1),(53,1),(55,1),(64,1),(74,1),(126,1),(207,1)}
        28:{1,3,4,6}:{(10,1),(52,1),(55,1),(56,1),(113,1),(125,1),(165,1),(169,1),(197,1)}
        29:{1,2,4,7}:{(10,1),(53,1),(56,1),(57,1),(77,1),(117,1)}
        30:{4,5,7}:{(11,1),(12,1),(58,1),(170,1)}
        31:{3,4,6,7}:{(11,1),(13,1),(17,1),(50,1),(58,1),(59,1),(60,1),(65,1),(109,1),(123,1),(170,1)}
        32:{3,5,6}:{(12,1),(13,1),(58,1),(61,1),(62,1)}
        33:{1,4,6}:{(13,1),(14,1),(52,1),(61,1)}
        34:{2,4,6}:{(13,1),(15,1),(19,1),(62,1)}
        35:{1,2,4,5,7}:{(14,1),(15,1),(20,1),(53,1),(63,1),(64,1),(73,1),(75,1),(117,1),(119,1),(122,1),(127,1),(133,1),(161,1),(167,1),(170,1),(172,1),(175,1),(195,1),(200,1),(207,1)}
        36:{3,5,7}:{(16,1),(17,1),(18,1),(65,1),(66,1)}
        37:{1,6,7}:{(17,1),(66,1)}
        38:{2,3,6,7}:{(17,1),(19,1),(60,1),(67,1),(68,1),(123,1),(160,1)}
        39:{3,4,6}:{(18,1),(21,1),(65,1),(69,1),(70,1),(131,1)}
        40:{1,5,6}:{(18,1),(66,1),(69,1)}
        41:{2,3,5,6}:{(18,1),(19,1),(22,1),(62,1),(67,1),(70,1),(71,1),(124,1),(131,1)}
        42:{1,2,6}:{(19,1),(20,1),(72,1)}
        43:{1,3,5,7}:{(20,1),(24,1),(64,1),(72,1),(73,1),(76,1),(133,1),(168,1),(193,1),(207,1)}
        44:{1,4,5}:{(21,1),(69,1),(74,1)}
        45:{2,4,5}:{(21,1),(22,1),(70,1),(172,1)}
        46:{1,2,5}:{(22,1),(23,1),(76,1),(133,1)}
        47:{1,3,6}:{(23,1),(24,1),(76,1),(131,1)}
        48:{1,3,4}:{(74,1),(77,1),(135,1)}
        49:{1,4,5,7}:{(25,1),(26,1),(30,1),(78,1),(91,1),(136,1)}
        50:{3,6,7}:{(25,1),(78,1),(80,1)}
        51:{3,5,6}:{(26,1),(78,1),(81,1),(83,1)}
        52:{1,3,6}:{(27,1),(33,1),(84,1),(95,1),(209,1)}
        53:{1,2,5,7}:{(27,1),(29,1),(84,1),(85,1),(88,1),(105,1),(152,1)}
        54:{3,4,5}:{(81,1),(86,1),(87,1),(145,1)}
        55:{1,3,5}:{(28,1),(86,1),(88,1),(145,1),(151,1),(205,1)}
        56:{1,2,4,6}:{(28,1),(29,1),(84,1),(88,1),(89,1),(143,1),(146,1)}
        57:{2,3,7}:{(29,1),(89,1),(108,1),(180,1)}
        58:{3,5,7}:{(30,1),(31,1),(32,1),(91,1),(92,1)}
        59:{1,4,6,7}:{(31,1),(33,1),(37,1),(79,1),(91,1),(97,1),(136,1)}
        60:{2,4,6,7}:{(31,1),(34,1),(38,1),(80,1),(92,1),(98,1),(137,1)}
        61:{1,5,6}:{(32,1),(33,1),(91,1)}
        62:{2,5,6}:{(32,1),(34,1),(92,1)}
        63:{1,2,4,6}:{(33,1),(34,1),(35,1),(42,1),(84,1),(94,1),(95,1),(104,1),(143,1),(150,1),(191,1),(204,1),(206,1),(209,1)}
        64:{3,5,7}:{(35,1),(95,1),(96,1),(106,1),(145,1),(151,1),(153,1),(180,1)}
        65:{3,4,7}:{(36,1),(39,1),(97,1),(98,1),(153,1)}
        66:{1,5,7}:{(36,1),(37,1),(40,1),(97,1)}
        67:{2,3,5,7}:{(36,1),(38,1),(41,1),(92,1),(98,1),(99,1),(148,1),(153,1)}
        68:{1,2,6,7}:{(37,1),(38,1),(42,1),(99,1),(100,1),(179,1),(206,1)}
        69:{1,4,6}:{(39,1),(40,1),(44,1),(97,1),(101,1)}
        70:{2,4,6}:{(39,1),(41,1),(45,1),(98,1),(150,1)}
        71:{1,2,5,6}:{(40,1),(41,1),(42,1),(46,1),(99,1),(102,1),(103,1),(192,1),(206,1)}
        72:{1,3,6}:{(42,1),(43,1),(95,1),(104,1),(209,1)}
        73:{1,4,7}:{(43,1),(96,1),(104,1),(107,1),(186,1)}
        74:{1,3,5}:{(44,1),(48,1),(101,1),(105,1),(106,1)}
        75:{1,2,4,5}:{(44,1),(45,1),(46,1),(102,1),(105,1),(106,1),(107,1),(158,1),(159,1),(192,1)}
        76:{1,3,5}:{(46,1),(47,1),(106,1),(107,1)}
        77:{1,2,4}:{(48,1),(105,1),(108,1),(159,1)}
        78:{3,5,7}:{(49,1),(50,1),(51,1),(109,1),(111,1)}
        79:{1,3,6,7}:{(50,1),(52,1),(59,1),(110,1),(112,1),(123,1),(126,1)}
        80:{2,6,7}:{(50,1),(111,1)}
        81:{3,4,6}:{(51,1),(54,1),(109,1),(113,1),(114,1),(165,1)}
        82:{1,3,5,6}:{(51,1),(52,1),(55,1),(61,1),(110,1),(113,1),(115,1),(124,1),(165,1)}
        83:{2,5,6}:{(51,1),(111,1),(114,1)}
        84:{1,2,6}:{(52,1),(53,1),(116,1)}
        85:{2,3,5,7}:{(53,1),(57,1),(64,1),(116,1),(117,1),(120,1),(134,1),(167,1),(173,1),(200,1)}
        86:{1,4,5}:{(54,1),(55,1),(113,1),(172,1)}
        87:{2,4,5}:{(54,1),(114,1),(118,1)}
        88:{1,2,5}:{(55,1),(56,1),(120,1),(167,1)}
        89:{2,3,6}:{(56,1),(57,1),(120,1),(165,1)}
        90:{2,3,4}:{(118,1),(121,1),(169,1)}
        91:{1,5,7}:{(58,1),(59,1),(61,1)}
        92:{2,5,7}:{(58,1),(60,1),(62,1)}
        93:{1,2,4,6,7}:{(59,1),(60,1),(63,1),(68,1),(112,1),(122,1),(123,1),(127,1),(129,1),(161,1),(163,1),(170,1)}
        94:{1,2,5,6}:{(61,1),(62,1),(63,1),(122,1),(124,1),(133,1),(167,1),(176,1),(196,1)}
        95:{3,6}:{(63,1),(64,1)}
        96:{3,4,7}:{(64,1),(73,1),(117,1),(125,1),(135,1),(169,1),(170,1)}
        97:{1,4,7}:{(65,1),(66,1),(69,1),(126,1)}
        98:{2,4,7}:{(65,1),(67,1),(70,1),(170,1)}
        99:{1,2,5,7}:{(66,1),(67,1),(68,1),(71,1),(127,1),(128,1),(200,1)}
       100:{1,3,6,7}:{(68,1),(72,1),(123,1),(128,1),(129,1),(193,1),(201,1)}
       101:{1,3,6}:{(69,1),(74,1),(126,1),(130,1),(131,1)}
       102:{1,2,4,6}:{(69,1),(70,1),(71,1),(75,1),(127,1),(130,1),(131,1),(132,1),(177,1)}
       103:{1,3,5,6}:{(71,1),(72,1),(76,1),(124,1),(128,1),(131,1),(132,1),(133,1),(176,1),(178,1),(201,1)}
       104:{1,4,6}:{(72,1),(73,1),(125,1),(133,1)}
       105:{1,2,5}:{(74,1),(77,1),(130,1),(134,1)}
       106:{3,5}:{(75,1),(131,1),(135,1)}
       107:{1,4}:{(76,1),(135,1)}
       108:{2,3}:{(77,1)}
       109:{3,4,7}:{(78,1),(81,1),(136,1),(137,1),(180,1)}
       110:{1,3,5,7}:{(78,1),(79,1),(82,1),(91,1),(136,1),(138,1),(148,1),(180,1)}
       111:{2,5,7}:{(78,1),(80,1),(83,1),(137,1)}
       112:{1,2,6,7}:{(79,1),(80,1),(84,1),(138,1),(139,1),(152,1),(209,1)}
       113:{1,4,6}:{(81,1),(82,1),(86,1),(136,1),(150,1)}
       114:{2,4,6}:{(81,1),(83,1),(87,1),(137,1),(140,1)}
       115:{1,2,5,6}:{(82,1),(83,1),(84,1),(88,1),(138,1),(141,1),(142,1),(205,1),(209,1)}
       116:{2,3,6}:{(84,1),(85,1),(95,1),(143,1),(206,1)}
       117:{2,4,7}:{(85,1),(96,1),(143,1),(146,1),(159,1)}
       118:{2,3,5}:{(87,1),(90,1),(140,1),(144,1),(145,1)}
       119:{1,2,4,5}:{(86,1),(87,1),(88,1),(141,1),(144,1),(145,1),(146,1),(185,1),(186,1),(205,1)}
       120:{2,3,5}:{(88,1),(89,1),(145,1),(146,1)}
       121:{1,2,4}:{(90,1),(144,1),(147,1),(186,1)}
       122:{1,2,5,7}:{(91,1),(92,1),(93,1),(94,1),(148,1),(155,1),(182,1)}
       123:{3,6,7}:{(93,1),(95,1),(148,1),(153,1),(180,1)}
       124:{3,5,6}:{(94,1),(95,1),(148,1),(150,1),(151,1)}
       125:{3,4,6}:{(95,1),(96,1),(104,1),(143,1),(150,1),(151,1)}
       126:{1,3,7}:{(97,1),(101,1),(152,1),(153,1)}
       127:{1,2,4,7}:{(97,1),(98,1),(99,1),(102,1),(152,1),(153,1),(154,1),(189,1)}
       128:{1,3,5,7}:{(99,1),(100,1),(103,1),(148,1),(153,1),(154,1),(155,1),(190,1)}
       129:{1,4,6,7}:{(100,1),(104,1),(149,1),(154,1),(155,1),(191,1),(202,1),(209,1)}
       130:{1,2,6}:{(101,1),(105,1),(152,1),(156,1)}
       131:{3,6}:{(102,1),(106,1),(153,1)}
       132:{1,4,6}:{(103,1),(107,1),(150,1),(154,1),(157,1),(158,1)}
       133:{1,5}:{(104,1),(151,1)}
       134:{2,3,5}:{(105,1),(106,1),(108,1),(156,1),(159,1),(192,1)}
       135:{3,4}:{(106,1),(107,1),(159,1)}
       136:{1,4,7}:{(109,1),(110,1),(113,1),(170,1)}
       137:{2,4,7}:{(109,1),(111,1),(114,1),(160,1)}
       138:{1,2,5,7}:{(110,1),(111,1),(112,1),(115,1),(161,1),(162,1),(207,1)}
       139:{2,3,6,7}:{(112,1),(116,1),(123,1),(162,1),(163,1),(173,1),(208,1)}
       140:{2,3,6}:{(114,1),(118,1),(160,1),(164,1),(165,1)}
       141:{1,2,4,6}:{(113,1),(114,1),(115,1),(119,1),(161,1),(164,1),(165,1),(166,1),(197,1)}
       142:{2,3,5,6}:{(115,1),(116,1),(120,1),(124,1),(162,1),(165,1),(166,1),(167,1),(196,1),(198,1),(208,1)}
       143:{2,4,6}:{(116,1),(117,1),(125,1),(167,1)}
       144:{1,2,5}:{(118,1),(121,1),(164,1),(168,1)}
       145:{3,5}:{(119,1),(165,1),(169,1)}
       146:{2,4}:{(120,1),(169,1)}
       147:{1,3}:{(121,1)}
       148:{3,5,7}:{(122,1),(123,1),(124,1),(170,1)}
       149:{3,4,6,7}:{(123,1),(125,1),(129,1),(163,1),(170,1),(171,1),(174,1),(194,1),(199,1),(201,1),(208,1)}
       150:{4,6}:{(124,1),(170,1),(172,1)}
       151:{3,5}:{(125,1),(133,1),(167,1),(172,1)}
       152:{1,2,7}:{(126,1),(130,1),(173,1)}
       153:{3,7}:{(127,1),(131,1)}
       154:{1,4,7}:{(128,1),(132,1),(170,1),(174,1)}
       155:{1,5,7}:{(129,1),(133,1),(171,1),(176,1)}
       156:{2,3,6}:{(130,1),(131,1),(134,1),(173,1),(177,1)}
       157:{3,4,6}:{(131,1),(132,1),(135,1),(174,1),(177,1),(178,1),(201,1)}
       158:{1,4,5}:{(132,1),(133,1),(172,1),(178,1)}
       159:{2,4}:{(134,1),(135,1)}
       160:{2,3,7}:{(137,1),(140,1),(179,1),(180,1)}
       161:{1,2,4,7}:{(136,1),(137,1),(138,1),(141,1),(179,1),(180,1),(181,1),(202,1)}
       162:{2,3,5,7}:{(138,1),(139,1),(142,1),(148,1),(180,1),(181,1),(182,1),(203,1)}
       163:{2,4,6,7}:{(139,1),(143,1),(149,1),(181,1),(182,1),(189,1),(204,1),(206,1)}
       164:{1,2,6}:{(140,1),(144,1),(179,1),(183,1)}
       165:{3,6}:{(141,1),(145,1),(180,1)}
       166:{2,4,6}:{(142,1),(146,1),(150,1),(181,1),(184,1),(185,1)}
       167:{2,5}:{(143,1),(151,1)}
       168:{1,3,5}:{(144,1),(145,1),(147,1),(183,1),(186,1),(205,1)}
       169:{3,4}:{(145,1),(146,1),(186,1)}
       170:{4,7}:{(148,1),(150,1)}
       171:{3,5,7}:{(149,1),(151,1),(155,1),(182,1),(187,1),(188,1)}
       172:{4,5}:{(150,1),(151,1)}
       173:{2,3,7}:{(152,1),(153,1),(156,1),(189,1)}
       174:{3,4,7}:{(153,1),(154,1),(157,1),(189,1),(190,1)}
       175:{1,4,5,7}:{(154,1),(155,1),(158,1),(187,1),(190,1),(191,1)}
       176:{1,5,6}:{(155,1),(188,1),(191,1),(209,1)}
       177:{2,4,6}:{(156,1),(157,1),(159,1),(189,1),(192,1),(206,1)}
       178:{3,5}:{(157,1),(158,1),(192,1)}
       179:{1,2,7}:{(160,1),(164,1),(193,1)}
       180:{3,7}:{(161,1),(165,1)}
       181:{2,4,7}:{(162,1),(166,1),(170,1),(194,1)}
       182:{2,5,7}:{(163,1),(167,1),(171,1),(196,1)}
       183:{1,3,6}:{(164,1),(165,1),(168,1),(193,1),(197,1)}
       184:{3,4,6}:{(165,1),(166,1),(169,1),(194,1),(197,1),(198,1),(208,1)}
       185:{2,4,5}:{(166,1),(167,1),(172,1),(198,1)}
       186:{1,4}:{(168,1),(169,1)}
       187:{4,5,7}:{(170,1),(171,1),(172,1),(199,1)}
       188:{3,5,6}:{(171,1),(176,1),(196,1),(199,1),(201,1),(208,1)}
       189:{2,4,7}:{(173,1),(174,1),(177,1),(200,1)}
       190:{3,5,7}:{(174,1),(175,1),(178,1),(200,1),(201,1)}
       191:{1,4,6}:{(175,1),(176,1),(199,1),(201,1)}
       192:{2,5}:{(177,1),(178,1)}
       193:{1,3,7}:{(179,1),(180,1),(183,1),(202,1)}
       194:{3,4,7}:{(180,1),(181,1),(184,1),(202,1),(203,1)}
       195:{2,4,5,7}:{(181,1),(182,1),(185,1),(187,1),(203,1),(204,1)}
       196:{2,5,6}:{(182,1),(188,1),(204,1),(206,1)}
       197:{1,4,6}:{(183,1),(184,1),(186,1),(202,1),(205,1),(209,1)}
       198:{3,5}:{(184,1),(185,1),(205,1)}
       199:{4,6}:{(187,1),(188,1)}
       200:{2,5,7}:{(189,1),(190,1),(192,1),(206,1)}
       201:{3,6}:{(190,1),(191,1),(206,1)}
       202:{1,4,7}:{(193,1),(194,1),(197,1),(207,1)}
       203:{3,5,7}:{(194,1),(195,1),(198,1),(207,1),(208,1)}
       204:{2,4,6}:{(195,1),(196,1),(199,1),(208,1)}
       205:{1,5}:{(197,1),(198,1)}
       206:{2,6}:{(200,1),(201,1)}
       207:{1,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       208:{3,6}:{(203,1),(204,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

 967 :   0:{2,3,4,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1),(52,1),(56,1),(84,1),(90,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(69,1),(100,1),(104,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(37,1),(72,1),(101,1)}
         3:{1,3,6,7}:{(1,1),(8,1),(29,1),(113,1),(117,1)}
         4:{1,2,5,7}:{(1,1),(2,1),(8,1),(9,1),(53,1),(114,1)}
         5:{2,3,5,6}:{(2,1),(9,1),(11,1),(29,1),(32,1)}
         6:{2,4,5,7}:{(2,1),(11,1),(12,1),(84,1),(87,1)}
         7:{2,3,5,6,7}:{(5,1),(13,1),(14,1),(36,1),(37,1),(68,1),(120,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(18,1),(125,1)}
         9:{1,2,5,6}:{(4,1),(5,1),(15,1),(17,1),(47,1),(72,1)}
        10:{1,2,4,5,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(21,1),(39,1),(42,1),(46,1),(72,1),(100,1),(102,1)}
        11:{2,4,6}:{(5,1),(6,1),(20,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(66,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(9,1),(22,1),(23,1),(53,1),(81,1),(85,1),(108,1)}
        14:{2,4,6,7}:{(7,1),(11,1),(24,1),(25,1),(84,1),(129,1)}
        15:{1,3,5,6}:{(8,1),(9,1),(26,1),(29,1),(54,1)}
        16:{1,4,7}:{(8,1),(26,1),(27,1),(132,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(11,1),(26,1),(29,1),(33,1),(56,1),(61,1)}
        18:{3,5,7}:{(10,1),(27,1),(29,1),(54,1),(113,1),(115,1)}
        19:{2,4,5,6}:{(11,1),(24,1),(32,1)}
        20:{3,4,6}:{(11,1),(12,1),(29,1),(32,1),(33,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(33,1),(53,1),(83,1),(86,1)}
        22:{1,3,5,6,7}:{(13,1),(15,1),(34,1),(36,1),(63,1),(67,1),(93,1)}
        23:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(38,1),(65,1),(69,1),(100,1),(119,1)}
        24:{2,4,5,7}:{(14,1),(19,1),(37,1),(135,1)}
        25:{3,4,6,7}:{(14,1),(20,1),(36,1),(37,1),(38,1),(66,1),(134,1)}
        26:{1,4,6}:{(15,1),(16,1),(39,1),(40,1)}
        27:{3,4,7}:{(16,1),(18,1),(40,1),(42,1),(126,1)}
        28:{1,2,4,5,6}:{(17,1),(19,1),(35,1),(39,1),(43,1),(47,1),(62,1),(72,1),(75,1),(76,1),(77,1),(94,1),(102,1),(119,1),(135,1),(139,1)}
        29:{3,6}:{(17,1),(18,1)}
        30:{1,3,5,7}:{(18,1),(21,1),(41,1),(44,1),(46,1),(71,1)}
        31:{2,3,5,7}:{(18,1),(42,1),(45,1),(46,1),(72,1),(74,1),(103,1)}
        32:{3,5,6}:{(19,1),(20,1),(37,1),(47,1)}
        33:{1,4,6}:{(20,1),(21,1),(44,1),(47,1)}
        34:{1,4,6,7}:{(22,1),(26,1),(48,1),(49,1),(83,1),(106,1)}
        35:{1,2,4,5,7}:{(23,1),(24,1),(28,1),(48,1),(50,1),(53,1),(81,1),(83,1),(84,1),(85,1)}
        36:{3,6,7}:{(23,1),(29,1),(50,1),(113,1),(128,1)}
        37:{3,5,7}:{(24,1),(25,1),(32,1),(53,1),(138,1)}
        38:{1,4,6,7}:{(25,1),(33,1),(51,1),(53,1),(83,1),(137,1)}
        39:{1,4,5}:{(26,1),(54,1)}
        40:{3,4,6}:{(26,1),(27,1),(29,1),(54,1),(56,1)}
        41:{1,3,4,7}:{(27,1),(30,1),(55,1),(57,1),(83,1),(113,1)}
        42:{2,4,7}:{(27,1),(31,1),(56,1),(116,1)}
        43:{3,5,6}:{(28,1),(29,1),(50,1),(54,1),(58,1),(115,1),(128,1),(138,1)}
        44:{1,3,6}:{(29,1),(30,1),(33,1),(61,1)}
        45:{2,3,6}:{(29,1),(31,1),(56,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(57,1),(61,1),(88,1)}
        47:{1,5,6}:{(32,1),(33,1),(53,1)}
        48:{1,4,5,7}:{(34,1),(39,1),(62,1),(63,1)}
        49:{3,4,6,7}:{(34,1),(36,1),(40,1),(63,1),(65,1),(66,1),(92,1)}
        50:{3,5,7}:{(35,1),(36,1),(43,1),(66,1)}
        51:{1,3,6,7}:{(36,1),(38,1),(44,1),(67,1),(69,1),(133,1)}
        52:{2,3,6,7}:{(36,1),(45,1),(65,1),(68,1),(69,1),(118,1)}
        53:{1,5,7}:{(37,1),(38,1),(47,1),(139,1)}
        54:{3,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,6}:{(40,1),(41,1),(44,1),(71,1),(73,1),(75,1),(105,1),(126,1)}
        56:{2,4,6}:{(40,1),(42,1),(45,1),(72,1)}
        57:{1,2,4,7}:{(41,1),(42,1),(46,1),(73,1),(74,1)}
        58:{3,4,6}:{(43,1),(66,1),(70,1),(75,1),(76,1),(105,1),(126,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(47,1),(67,1),(71,1),(75,1),(77,1),(105,1),(125,1),(133,1),(139,1)}
        60:{2,3,5,6}:{(43,1),(45,1),(68,1),(72,1),(76,1),(77,1),(94,1),(101,1),(103,1),(105,1),(118,1)}
        61:{1,2,6}:{(44,1),(45,1),(46,1)}
        62:{1,4,5,6}:{(48,1),(78,1),(106,1)}
        63:{3,5,7}:{(48,1),(49,1),(54,1),(78,1),(81,1)}
        64:{1,3,4,6,7}:{(49,1),(51,1),(55,1),(80,1),(82,1),(83,1),(106,1),(113,1),(128,1),(131,1),(137,1)}
        65:{2,4,6,7}:{(49,1),(52,1),(56,1),(81,1),(84,1),(107,1)}
        66:{3,4,7}:{(50,1),(58,1),(83,1),(84,1),(113,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(59,1),(83,1),(85,1),(113,1)}
        68:{2,3,5,7}:{(50,1),(52,1),(60,1),(81,1),(84,1),(85,1),(113,1)}
        69:{1,2,6,7}:{(51,1),(52,1),(61,1),(85,1),(127,1)}
        70:{3,4,5}:{(54,1),(58,1),(86,1),(87,1),(115,1),(138,1)}
        71:{1,3,5}:{(54,1),(55,1),(86,1),(88,1),(115,1)}
        72:{2,5}:{(54,1),(56,1)}
        73:{1,2,4,6}:{(55,1),(56,1),(57,1),(61,1),(88,1),(89,1),(116,1)}
        74:{2,3,7}:{(57,1),(89,1),(113,1)}
        75:{1,4,6}:{(58,1),(59,1),(83,1),(86,1),(132,1)}
        76:{2,4,6}:{(58,1),(60,1),(84,1),(87,1),(116,1)}
        77:{1,2,5,6}:{(59,1),(60,1),(61,1),(85,1),(88,1),(91,1),(114,1),(127,1)}
        78:{3,5,6}:{(62,1),(63,1),(92,1),(94,1)}
        79:{3,4,5,7}:{(63,1),(66,1),(70,1),(92,1),(95,1),(96,1),(122,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(71,1),(93,1),(95,1),(97,1),(122,1),(139,1)}
        81:{2,5,7}:{(63,1),(65,1),(72,1),(94,1)}
        82:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(73,1),(97,1),(98,1),(100,1),(119,1),(123,1)}
        83:{1,4,7}:{(66,1),(67,1),(75,1)}
        84:{2,4,7}:{(66,1),(68,1),(76,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(77,1),(100,1)}
        86:{1,4,5}:{(70,1),(71,1),(75,1),(139,1)}
        87:{2,4,5}:{(70,1),(72,1),(76,1),(101,1)}
        88:{1,2,5}:{(71,1),(72,1),(73,1),(103,1)}
        89:{2,3,6}:{(73,1),(74,1),(103,1),(105,1)}
        90:{2,3,4,6}:{(76,1),(99,1),(101,1),(104,1),(105,1),(118,1),(126,1),(134,1)}
        91:{1,2,4,6}:{(75,1),(76,1),(77,1),(100,1),(102,1),(105,1)}
        92:{3,4,6}:{(78,1),(79,1),(106,1),(107,1),(128,1)}
        93:{1,3,5,6}:{(78,1),(80,1),(106,1),(108,1),(128,1)}
        94:{2,5,6}:{(78,1),(81,1),(107,1)}
        95:{1,4,5,7}:{(79,1),(80,1),(83,1),(86,1),(106,1)}
        96:{2,4,5,7}:{(79,1),(81,1),(84,1),(87,1),(107,1),(109,1)}
        97:{1,2,5,7}:{(80,1),(81,1),(82,1),(88,1),(108,1),(111,1)}
        98:{2,3,6,7}:{(82,1),(89,1),(111,1),(113,1),(128,1)}
        99:{2,3,4,7}:{(84,1),(90,1),(109,1),(112,1),(113,1),(131,1)}
       100:{1,2,4,7}:{(83,1),(84,1),(85,1),(91,1),(113,1)}
       101:{2,3,5}:{(87,1),(90,1),(114,1),(115,1),(138,1)}
       102:{1,2,4,5}:{(86,1),(87,1),(88,1),(91,1),(114,1),(115,1),(116,1),(132,1)}
       103:{2,3,5}:{(88,1),(89,1),(115,1),(116,1)}
       104:{1,2,4,6}:{(90,1),(112,1),(114,1),(117,1),(127,1),(132,1),(137,1)}
       105:{3,6}:{(91,1),(113,1),(115,1)}
       106:{1,4,6}:{(92,1),(93,1),(95,1)}
       107:{2,4,6}:{(92,1),(94,1),(96,1),(118,1)}
       108:{1,2,5,6}:{(93,1),(94,1),(97,1),(119,1),(120,1),(139,1)}
       109:{2,3,5,7}:{(96,1),(99,1),(101,1),(118,1),(121,1),(122,1)}
       110:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(100,1),(102,1),(119,1),(121,1),(122,1),(123,1),(135,1),(136,1),(139,1)}
       111:{2,3,5,7}:{(97,1),(98,1),(103,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,7}:{(99,1),(104,1),(121,1),(124,1),(136,1)}
       113:{3,7}:{(100,1),(105,1)}
       114:{1,2,5}:{(101,1),(104,1),(125,1),(139,1)}
       115:{3,5}:{(102,1),(105,1),(126,1)}
       116:{2,4}:{(103,1),(126,1)}
       117:{1,3,6}:{(104,1),(105,1),(124,1),(125,1)}
       118:{2,3,6}:{(107,1),(109,1),(127,1),(128,1)}
       119:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(127,1),(128,1),(129,1),(137,1)}
       120:{2,3,5,6}:{(108,1),(111,1),(128,1),(129,1),(138,1)}
       121:{1,2,5,7}:{(109,1),(112,1),(114,1),(127,1),(130,1)}
       122:{3,5,7}:{(110,1),(113,1),(115,1),(128,1),(131,1),(138,1)}
       123:{2,4,7}:{(111,1),(116,1),(129,1),(131,1)}
       124:{1,3,7}:{(112,1),(113,1),(117,1)}
       125:{1,3,5}:{(114,1),(115,1),(117,1),(132,1)}
       126:{3,4}:{(115,1),(116,1),(132,1)}
       127:{1,2,6}:{(118,1),(121,1),(133,1)}
       128:{3,6}:{(119,1),(122,1)}
       129:{2,4,6}:{(120,1),(123,1),(134,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(124,1),(125,1),(133,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(126,1),(134,1),(136,1)}
       132:{1,4}:{(125,1),(126,1)}
       133:{1,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{3,4,6}:{(128,1),(129,1),(131,1),(137,1),(138,1)}
       135:{2,4,5}:{(129,1),(138,1)}
       136:{1,4,7}:{(130,1),(131,1),(132,1),(137,1)}
       137:{1,4,6}:{(133,1),(134,1),(136,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

 968 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(61,1),(114,1)}
         1:{2,3,4,6}:{(3,1),(5,1),(6,1),(17,1),(24,1),(27,1),(61,1),(63,1)}
         2:{1,2,3,5}:{(0,1),(8,1),(10,1),(32,1),(35,1),(84,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(10,1),(11,1),(41,1)}
         4:{1,2,3,7}:{(0,1),(11,1),(93,1),(142,1),(221,1)}
         5:{2,3,5}:{(1,1),(10,1),(12,1),(35,1),(95,1)}
         6:{2,3,4,7}:{(1,1),(11,1),(14,1),(36,1),(45,1),(93,1),(189,1)}
         7:{1,3,4,6}:{(3,1),(15,1),(16,1),(17,1),(51,1),(54,1),(61,1),(63,1)}
         8:{1,2,4}:{(2,1),(17,1)}
         9:{1,2,3,5,7}:{(2,1),(4,1),(19,1),(20,1),(22,1),(56,1),(62,1),(66,1),(115,1),(117,1)}
        10:{1,2,5}:{(3,1),(5,1),(15,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(6,1),(16,1),(22,1),(207,1)}
        12:{2,4,5}:{(5,1),(23,1),(24,1),(126,1)}
        13:{2,3,5,6}:{(5,1),(21,1),(24,1),(26,1),(27,1),(48,1),(61,1),(73,1),(125,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(22,1),(25,1),(27,1),(62,1),(206,1),(227,1)}
        15:{1,3,5}:{(7,1),(10,1),(29,1),(35,1),(95,1)}
        16:{1,3,4,7}:{(7,1),(11,1),(31,1),(36,1),(81,1),(93,1),(188,1)}
        17:{3,4}:{(8,1),(35,1)}
        18:{1,2,4,5}:{(8,1),(10,1),(12,1),(29,1),(35,1),(37,1),(42,1),(78,1),(84,1)}
        19:{1,2,4,7}:{(8,1),(9,1),(36,1),(39,1),(145,1)}
        20:{1,2,3,6}:{(9,1),(39,1),(41,1),(94,1),(143,1)}
        21:{1,2,5,6}:{(10,1),(13,1),(30,1),(37,1),(40,1),(41,1),(74,1),(134,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(14,1),(31,1),(41,1),(220,1),(230,1)}
        23:{3,4,5}:{(12,1),(35,1),(42,1),(43,1)}
        24:{2,4,6}:{(12,1),(13,1),(43,1),(45,1),(153,1)}
        25:{2,4,5,7}:{(12,1),(14,1),(44,1),(45,1),(46,1),(102,1),(195,1),(223,1)}
        26:{2,3,5,7}:{(13,1),(40,1),(45,1),(47,1),(75,1),(93,1),(102,1),(152,1)}
        27:{2,3,6}:{(14,1),(41,1),(46,1),(94,1)}
        28:{2,4,5,6}:{(24,1),(48,1),(49,1),(73,1),(131,1)}
        29:{1,4,5}:{(15,1),(50,1),(51,1),(126,1)}
        30:{1,3,5,6}:{(15,1),(21,1),(51,1),(53,1),(54,1),(61,1),(106,1),(113,1),(125,1)}
        31:{1,3,5,7}:{(15,1),(16,1),(22,1),(52,1),(54,1),(62,1),(205,1),(226,1)}
        32:{1,2,3}:{(55,1)}
        33:{2,3,4}:{(17,1),(55,1),(57,1)}
        34:{1,3,4}:{(17,1),(55,1),(59,1)}
        35:{3,5}:{(17,1),(18,1),(61,1)}
        36:{3,4,7}:{(17,1),(19,1),(62,1),(63,1),(169,1),(176,1)}
        37:{1,2,4,6}:{(18,1),(21,1),(24,1),(51,1),(61,1),(64,1),(68,1),(108,1),(114,1)}
        38:{1,2,4,5,7}:{(18,1),(19,1),(22,1),(25,1),(52,1),(62,1),(64,1),(65,1),(66,1),(69,1),(109,1),(115,1),(126,1),(127,1),(168,1),(176,1),(203,1)}
        39:{1,2,4,6}:{(19,1),(20,1),(63,1),(66,1)}
        40:{1,2,5,7}:{(21,1),(26,1),(53,1),(64,1),(67,1),(103,1),(159,1)}
        41:{1,2,6}:{(22,1),(27,1),(54,1)}
        42:{1,4,5}:{(23,1),(59,1),(68,1)}
        43:{3,4,6}:{(23,1),(24,1),(48,1),(61,1),(68,1),(70,1)}
        44:{3,4,5,7}:{(23,1),(25,1),(62,1),(69,1),(70,1),(71,1),(126,1),(130,1),(175,1),(176,1),(210,1)}
        45:{2,4,7}:{(24,1),(26,1),(70,1),(176,1)}
        46:{2,4,6}:{(25,1),(27,1),(71,1),(73,1)}
        47:{2,3,6,7}:{(26,1),(27,1),(67,1),(72,1),(104,1),(124,1),(227,1)}
        48:{3,5,6}:{(28,1),(43,1),(74,1),(75,1)}
        49:{2,4,5,7}:{(28,1),(45,1),(75,1),(76,1),(102,1),(156,1)}
        50:{3,4,5}:{(29,1),(35,1),(78,1),(79,1)}
        51:{1,4,6}:{(29,1),(30,1),(79,1),(81,1),(153,1)}
        52:{1,4,5,7}:{(29,1),(31,1),(80,1),(81,1),(82,1),(141,1),(192,1),(222,1)}
        53:{1,3,5,7}:{(30,1),(40,1),(81,1),(83,1),(93,1),(135,1),(141,1),(152,1)}
        54:{1,3,6}:{(31,1),(41,1),(82,1),(94,1)}
        55:{1,2,4}:{(32,1),(33,1),(34,1),(84,1)}
        56:{1,2,3,7}:{(32,1),(85,1),(86,1),(217,1),(230,1)}
        57:{2,3,5}:{(33,1),(35,1),(78,1),(84,1),(87,1)}
        58:{2,3,4,7}:{(33,1),(36,1),(85,1),(88,1),(89,1),(190,1),(217,1)}
        59:{1,3,5}:{(34,1),(35,1),(42,1),(84,1),(90,1)}
        60:{1,3,4,7}:{(34,1),(36,1),(85,1),(91,1),(92,1),(193,1),(217,1)}
        61:{3,6}:{(35,1),(37,1),(93,1)}
        62:{3,5,7}:{(35,1),(36,1),(38,1),(93,1),(94,1),(95,1),(187,1),(217,1)}
        63:{3,4,6}:{(36,1),(39,1),(94,1),(95,1),(153,1)}
        64:{1,2,4,7}:{(37,1),(40,1),(45,1),(81,1),(93,1),(98,1),(137,1),(142,1)}
        65:{1,2,4,6}:{(38,1),(41,1),(46,1),(82,1),(94,1),(97,1),(99,1),(138,1),(143,1),(153,1)}
        66:{1,2,5}:{(39,1),(95,1)}
        67:{1,2,6,7}:{(40,1),(41,1),(47,1),(83,1),(132,1),(180,1),(230,1)}
        68:{1,4,6}:{(42,1),(43,1),(74,1),(90,1),(98,1)}
        69:{1,4,5,7}:{(42,1),(44,1),(91,1),(98,1),(99,1),(151,1),(154,1),(193,1)}
        70:{3,4,7}:{(43,1),(45,1),(75,1),(93,1),(98,1)}
        71:{3,4,6}:{(44,1),(46,1),(94,1),(99,1),(101,1),(153,1)}
        72:{2,4,6,7}:{(45,1),(46,1),(47,1),(100,1),(102,1),(213,1),(223,1)}
        73:{2,5,6}:{(46,1),(101,1),(102,1)}
        74:{1,5,6}:{(48,1),(68,1),(103,1)}
        75:{3,5,7}:{(48,1),(49,1),(70,1),(103,1),(104,1)}
        76:{2,4,6,7}:{(49,1),(104,1),(105,1),(158,1)}
        77:{1,4,5,6}:{(51,1),(106,1),(107,1),(113,1),(165,1)}
        78:{2,4,5}:{(50,1),(57,1),(108,1)}
        79:{3,4,6}:{(50,1),(51,1),(61,1),(106,1),(108,1),(110,1)}
        80:{3,4,5,7}:{(50,1),(52,1),(62,1),(109,1),(110,1),(111,1),(126,1),(164,1),(172,1),(176,1),(208,1)}
        81:{1,4,7}:{(51,1),(53,1),(110,1),(176,1)}
        82:{1,4,6}:{(52,1),(54,1),(111,1),(113,1)}
        83:{1,3,6,7}:{(53,1),(54,1),(67,1),(112,1),(124,1),(160,1),(226,1)}
        84:{1,2,5}:{(55,1),(57,1),(59,1),(114,1)}
        85:{1,2,4,7}:{(55,1),(56,1),(58,1),(60,1),(115,1),(116,1)}
        86:{1,2,3,6}:{(56,1),(116,1),(117,1),(204,1),(228,1)}
        87:{2,3,6}:{(57,1),(61,1),(108,1),(114,1),(118,1)}
        88:{2,3,5,7}:{(57,1),(58,1),(62,1),(109,1),(115,1),(118,1),(119,1),(120,1)}
        89:{2,3,4,6}:{(58,1),(63,1),(116,1),(119,1),(120,1),(169,1),(171,1),(204,1)}
        90:{1,3,6}:{(59,1),(61,1),(68,1),(114,1),(121,1)}
        91:{1,3,5,7}:{(59,1),(60,1),(62,1),(69,1),(115,1),(121,1),(122,1),(123,1)}
        92:{1,3,4,6}:{(60,1),(63,1),(116,1),(122,1),(123,1),(169,1),(174,1),(204,1)}
        93:{3,7}:{(61,1),(64,1)}
        94:{3,6}:{(62,1),(65,1)}
        95:{3,5}:{(63,1),(66,1),(126,1)}
        96:{1,2,4,6,7}:{(64,1),(65,1),(67,1),(72,1),(112,1),(124,1),(127,1),(128,1),(162,1),(166,1),(176,1),(203,1)}
        97:{1,2,5,6}:{(65,1),(66,1),(73,1),(113,1),(125,1),(127,1),(129,1),(163,1)}
        98:{1,4,7}:{(68,1),(70,1),(103,1),(121,1)}
        99:{1,4,6}:{(69,1),(71,1),(122,1),(129,1)}
       100:{3,4,6,7}:{(70,1),(71,1),(72,1),(104,1),(124,1),(128,1),(130,1),(158,1),(176,1),(198,1),(210,1)}
       101:{3,5,6}:{(71,1),(73,1),(129,1),(130,1),(131,1)}
       102:{2,5,7}:{(72,1),(73,1),(130,1)}
       103:{1,5,7}:{(74,1),(75,1),(98,1),(132,1)}
       104:{3,6,7}:{(75,1),(76,1),(132,1)}
       105:{2,5,6,7}:{(76,1),(102,1),(133,1),(213,1)}
       106:{3,5,6}:{(77,1),(79,1),(134,1),(135,1)}
       107:{1,4,5,7}:{(77,1),(81,1),(135,1),(136,1),(141,1),(184,1)}
       108:{2,4,6}:{(78,1),(79,1),(87,1),(134,1),(137,1)}
       109:{2,4,5,7}:{(78,1),(80,1),(88,1),(137,1),(138,1),(148,1),(182,1),(190,1)}
       110:{3,4,7}:{(79,1),(81,1),(93,1),(135,1),(137,1)}
       111:{3,4,6}:{(80,1),(82,1),(94,1),(138,1),(140,1),(153,1)}
       112:{1,4,6,7}:{(81,1),(82,1),(83,1),(139,1),(141,1),(222,1),(229,1)}
       113:{1,5,6}:{(82,1),(140,1),(141,1)}
       114:{1,2,6}:{(84,1),(87,1),(90,1),(142,1)}
       115:{1,2,5,7}:{(84,1),(85,1),(88,1),(91,1),(142,1),(143,1),(144,1)}
       116:{1,2,4,6}:{(85,1),(86,1),(89,1),(92,1),(143,1),(144,1),(145,1)}
       117:{1,2,3,5}:{(86,1),(144,1),(145,1),(187,1),(220,1),(221,1)}
       118:{2,3,7}:{(87,1),(93,1),(137,1),(142,1)}
       119:{2,3,6}:{(88,1),(94,1),(138,1),(143,1)}
       120:{2,3,5}:{(89,1),(95,1),(144,1),(148,1),(187,1)}
       121:{1,3,7}:{(90,1),(93,1),(98,1),(142,1)}
       122:{1,3,6}:{(91,1),(94,1),(99,1),(143,1)}
       123:{1,3,5}:{(92,1),(95,1),(144,1),(151,1),(187,1)}
       124:{3,6,7}:{(93,1),(94,1),(96,1),(152,1),(217,1)}
       125:{3,5,6}:{(94,1),(95,1),(97,1),(152,1),(153,1)}
       126:{4,5}:{(95,1),(153,1)}
       127:{1,2,5,7}:{(96,1),(97,1),(102,1),(141,1),(152,1),(154,1),(182,1)}
       128:{1,4,6,7}:{(98,1),(99,1),(100,1),(132,1),(149,1),(154,1),(193,1)}
       129:{1,5,6}:{(99,1),(101,1),(154,1)}
       130:{3,5,7}:{(100,1),(101,1),(102,1),(154,1),(156,1)}
       131:{4,5,6}:{(101,1),(153,1),(156,1)}
       132:{1,6,7}:{(103,1),(104,1)}
       133:{3,5,6,7}:{(104,1),(105,1),(130,1),(157,1),(158,1),(198,1)}
       134:{2,5,6}:{(106,1),(108,1),(159,1)}
       135:{3,5,7}:{(106,1),(107,1),(110,1),(159,1),(160,1)}
       136:{1,4,6,7}:{(107,1),(160,1),(161,1),(200,1)}
       137:{2,4,7}:{(108,1),(110,1),(118,1),(159,1)}
       138:{2,4,6}:{(109,1),(111,1),(119,1),(163,1)}
       139:{3,4,6,7}:{(110,1),(111,1),(112,1),(124,1),(160,1),(162,1),(164,1),(176,1),(200,1),(208,1),(224,1)}
       140:{3,5,6}:{(111,1),(113,1),(163,1),(164,1),(165,1)}
       141:{1,5,7}:{(112,1),(113,1),(164,1)}
       142:{1,2,7}:{(114,1),(118,1),(121,1)}
       143:{1,2,6}:{(115,1),(119,1),(122,1)}
       144:{1,2,5}:{(116,1),(120,1),(123,1)}
       145:{1,2,4}:{(117,1),(169,1)}
       146:{2,3,6,7}:{(118,1),(119,1),(124,1),(162,1),(166,1),(170,1),(224,1)}
       147:{2,3,5,6}:{(119,1),(120,1),(125,1),(163,1),(167,1),(170,1),(171,1),(202,1),(204,1)}
       148:{2,4,5}:{(120,1),(126,1),(171,1),(172,1)}
       149:{1,3,6,7}:{(121,1),(122,1),(124,1),(128,1),(166,1),(173,1),(198,1)}
       150:{1,3,5,6}:{(122,1),(123,1),(125,1),(129,1),(167,1),(173,1),(174,1),(178,1),(204,1)}
       151:{1,4,5}:{(123,1),(126,1),(174,1),(175,1)}
       152:{3,5,7}:{(124,1),(125,1),(127,1),(176,1)}
       153:{4,6}:{(125,1),(126,1),(176,1)}
       154:{1,5,7}:{(128,1),(129,1),(130,1)}
       155:{1,4,5,6}:{(129,1),(131,1),(174,1),(177,1),(178,1)}
       156:{4,5,7}:{(130,1),(131,1),(158,1),(176,1)}
       157:{1,5,6,7}:{(132,1),(133,1),(154,1),(179,1)}
       158:{4,6,7}:{(133,1),(156,1)}
       159:{2,5,7}:{(134,1),(135,1),(137,1),(180,1)}
       160:{3,6,7}:{(135,1),(136,1),(180,1)}
       161:{1,5,6,7}:{(136,1),(141,1),(181,1),(229,1)}
       162:{2,4,6,7}:{(137,1),(138,1),(139,1),(146,1),(180,1),(182,1),(190,1)}
       163:{2,5,6}:{(138,1),(140,1),(182,1)}
       164:{3,5,7}:{(139,1),(140,1),(141,1),(182,1),(184,1)}
       165:{4,5,6}:{(140,1),(153,1),(184,1)}
       166:{1,2,6,7}:{(142,1),(143,1),(146,1),(149,1),(185,1),(213,1),(229,1)}
       167:{1,2,5,6}:{(143,1),(144,1),(147,1),(150,1),(185,1),(186,1),(197,1),(216,1)}
       168:{1,2,4,5}:{(144,1),(145,1),(148,1),(151,1),(186,1),(187,1),(192,1),(195,1),(220,1)}
       169:{3,4}:{(145,1),(187,1)}
       170:{2,3,5,7}:{(146,1),(147,1),(152,1),(182,1),(185,1),(190,1),(215,1),(217,1)}
       171:{2,4,6}:{(147,1),(148,1),(153,1),(190,1),(191,1)}
       172:{3,4,5}:{(148,1),(187,1),(191,1),(192,1)}
       173:{1,3,5,7}:{(149,1),(150,1),(152,1),(154,1),(185,1),(193,1),(196,1),(217,1)}
       174:{1,4,6}:{(150,1),(151,1),(153,1),(193,1),(194,1)}
       175:{3,4,5}:{(151,1),(187,1),(194,1),(195,1)}
       176:{4,7}:{(152,1),(153,1)}
       177:{1,4,5,7}:{(154,1),(155,1),(156,1),(179,1),(193,1),(196,1)}
       178:{3,5,6}:{(155,1),(194,1),(196,1),(197,1)}
       179:{1,4,6,7}:{(157,1),(158,1),(177,1),(198,1)}
       180:{2,6,7}:{(159,1),(160,1)}
       181:{3,5,6,7}:{(160,1),(161,1),(164,1),(199,1),(200,1),(224,1)}
       182:{2,5,7}:{(162,1),(163,1),(164,1)}
       183:{2,4,5,6}:{(163,1),(165,1),(171,1),(201,1),(202,1)}
       184:{4,5,7}:{(164,1),(165,1),(176,1),(200,1)}
       185:{1,2,5,7}:{(166,1),(167,1),(170,1),(173,1),(203,1),(212,1),(225,1)}
       186:{1,2,4,6}:{(167,1),(168,1),(171,1),(174,1),(203,1),(204,1),(209,1),(211,1),(228,1)}
       187:{3,5}:{(168,1),(169,1),(204,1)}
       188:{1,3,4}:{(169,1),(205,1),(207,1)}
       189:{2,3,4}:{(169,1),(206,1),(207,1)}
       190:{2,4,7}:{(170,1),(171,1),(176,1),(208,1)}
       191:{3,4,6}:{(171,1),(172,1),(202,1),(204,1),(208,1),(209,1)}
       192:{1,4,5}:{(172,1),(205,1),(209,1)}
       193:{1,4,7}:{(173,1),(174,1),(176,1),(210,1)}
       194:{3,4,6}:{(174,1),(175,1),(178,1),(204,1),(210,1),(211,1)}
       195:{2,4,5}:{(175,1),(206,1),(211,1)}
       196:{3,5,7}:{(177,1),(178,1),(198,1),(210,1),(212,1)}
       197:{2,5,6}:{(178,1),(211,1),(212,1)}
       198:{3,6,7}:{(179,1),(196,1),(213,1)}
       199:{2,5,6,7}:{(180,1),(181,1),(182,1),(214,1)}
       200:{4,6,7}:{(181,1),(184,1)}
       201:{2,4,5,7}:{(182,1),(183,1),(184,1),(190,1),(214,1),(215,1)}
       202:{3,5,6}:{(183,1),(191,1),(215,1),(216,1)}
       203:{1,2,4,7}:{(185,1),(186,1),(190,1),(193,1),(217,1),(222,1),(223,1),(230,1)}
       204:{3,6}:{(186,1),(187,1),(217,1)}
       205:{1,3,5}:{(187,1),(188,1),(192,1),(218,1),(220,1)}
       206:{2,3,5}:{(187,1),(189,1),(195,1),(219,1),(220,1)}
       207:{1,2,4}:{(188,1),(189,1),(220,1),(221,1)}
       208:{3,4,7}:{(190,1),(191,1),(215,1),(217,1),(222,1)}
       209:{1,4,6}:{(191,1),(192,1),(216,1),(218,1),(222,1)}
       210:{3,4,7}:{(193,1),(194,1),(196,1),(217,1),(223,1)}
       211:{2,4,6}:{(194,1),(195,1),(197,1),(219,1),(223,1)}
       212:{2,5,7}:{(196,1),(197,1),(213,1),(223,1)}
       213:{2,6,7}:{(198,1),(212,1)}
       214:{2,4,6,7}:{(199,1),(200,1),(201,1),(224,1)}
       215:{3,5,7}:{(201,1),(202,1),(208,1),(224,1),(225,1)}
       216:{1,5,6}:{(202,1),(209,1),(225,1)}
       217:{3,7}:{(203,1),(204,1)}
       218:{1,3,6}:{(204,1),(205,1),(209,1),(226,1),(228,1)}
       219:{2,3,6}:{(204,1),(206,1),(211,1),(227,1),(228,1)}
       220:{1,2,5}:{(205,1),(206,1),(207,1),(228,1)}
       221:{1,2,3}:{(207,1)}
       222:{1,4,7}:{(208,1),(209,1),(225,1),(226,1)}
       223:{2,4,7}:{(210,1),(211,1),(212,1),(227,1)}
       224:{3,6,7}:{(214,1),(215,1),(229,1)}
       225:{1,5,7}:{(215,1),(216,1),(222,1),(229,1)}
       226:{1,3,7}:{(217,1),(218,1),(222,1),(230,1)}
       227:{2,3,7}:{(217,1),(219,1),(223,1),(230,1)}
       228:{1,2,6}:{(218,1),(219,1),(220,1),(230,1)}
       229:{1,6,7}:{(224,1),(225,1)}
       230:{1,2,7}:{(226,1),(227,1),(228,1)}

 969 :   0:{1,2,3,7}:{(4,1),(5,1),(158,1),(200,1),(210,1)}
         1:{2,3,4,7}:{(4,1),(6,1),(7,1),(25,1),(94,1),(139,1),(158,1)}
         2:{1,2,3,5,7}:{(0,1),(8,1),(10,1),(11,1),(16,1),(18,1),(41,1),(43,1),(46,1),(49,1)}
         3:{3,4,5,7}:{(12,1),(13,1),(14,1),(46,1),(54,1),(65,1),(106,1),(110,1),(129,1),(174,1),(178,1)}
         4:{1,2,4,7}:{(0,1),(1,1),(15,1),(16,1),(17,1),(173,1)}
         5:{1,2,3,6}:{(0,1),(17,1),(18,1),(125,1),(190,1)}
         6:{2,3,5,7}:{(1,1),(12,1),(16,1),(19,1),(20,1),(46,1),(172,1),(217,1)}
         7:{2,3,4,6}:{(1,1),(17,1),(19,1),(20,1),(47,1),(62,1),(64,1),(125,1)}
         8:{1,2,3,7}:{(21,1),(22,1),(162,1),(196,1),(226,1)}
         9:{1,3,4,7}:{(21,1),(23,1),(24,1),(25,1),(92,1),(140,1),(196,1)}
        10:{1,2,4,7}:{(2,1),(25,1),(27,1),(36,1),(70,1)}
        11:{1,2,3,6}:{(2,1),(27,1),(34,1),(68,1),(75,1)}
        12:{2,4,5,7}:{(3,1),(6,1),(28,1),(39,1),(79,1),(94,1),(142,1),(201,1)}
        13:{1,4,5,7}:{(3,1),(23,1),(29,1),(73,1),(81,1),(96,1),(140,1),(163,1)}
        14:{3,4,6}:{(3,1),(28,1),(29,1),(31,1),(75,1),(146,1)}
        15:{1,3,4,7}:{(4,1),(25,1),(32,1),(33,1),(138,1),(155,1),(158,1)}
        16:{1,2,5,7}:{(4,1),(6,1),(32,1),(34,1),(35,1),(199,1),(226,1)}
        17:{1,2,4,6}:{(4,1),(5,1),(7,1),(33,1),(34,1),(35,1),(36,1)}
        18:{1,2,3,5}:{(5,1),(35,1),(36,1),(91,1),(161,1),(162,1)}
        19:{2,3,6}:{(6,1),(28,1),(34,1),(75,1)}
        20:{2,3,5}:{(7,1),(35,1),(39,1),(76,1),(91,1)}
        21:{1,2,4,7}:{(8,1),(9,1),(40,1),(41,1),(42,1),(128,1)}
        22:{1,2,3,6}:{(8,1),(42,1),(43,1),(170,1),(218,1)}
        23:{1,3,5,7}:{(9,1),(13,1),(41,1),(44,1),(45,1),(46,1),(126,1),(188,1)}
        24:{1,3,4,6}:{(9,1),(42,1),(44,1),(45,1),(47,1),(103,1),(105,1),(170,1)}
        25:{3,4,7}:{(10,1),(46,1),(47,1),(62,1),(103,1),(178,1)}
        26:{1,2,4,5,7}:{(10,1),(12,1),(13,1),(16,1),(41,1),(46,1),(48,1),(49,1),(56,1),(61,1),(97,1),(102,1),(110,1),(111,1),(124,1),(169,1),(178,1)}
        27:{1,2,4,6}:{(10,1),(11,1),(47,1),(49,1)}
        28:{2,4,6}:{(12,1),(14,1),(19,1),(51,1)}
        29:{1,4,6}:{(13,1),(14,1),(44,1),(53,1)}
        30:{3,4,6,7}:{(14,1),(50,1),(52,1),(54,1),(108,1),(118,1),(129,1),(174,1),(178,1),(179,1),(181,1)}
        31:{3,5,6}:{(14,1),(51,1),(53,1),(54,1),(55,1)}
        32:{1,3,5,7}:{(15,1),(16,1),(46,1),(56,1),(57,1),(58,1),(171,1),(216,1)}
        33:{1,3,4,6}:{(15,1),(17,1),(47,1),(57,1),(58,1),(62,1),(122,1),(125,1)}
        34:{1,2,6}:{(16,1),(19,1),(57,1)}
        35:{1,2,5}:{(17,1),(20,1),(58,1)}
        36:{1,2,4}:{(18,1),(62,1)}
        37:{2,3,6,7}:{(19,1),(50,1),(59,1),(63,1),(108,1),(179,1),(217,1)}
        38:{2,3,5,6}:{(19,1),(20,1),(51,1),(60,1),(63,1),(64,1),(109,1),(114,1),(125,1)}
        39:{2,4,5}:{(20,1),(64,1),(65,1),(110,1)}
        40:{2,3,4,7}:{(21,1),(25,1),(66,1),(67,1),(93,1),(193,1),(196,1)}
        41:{1,2,5,7}:{(21,1),(23,1),(66,1),(68,1),(69,1),(161,1),(210,1)}
        42:{1,2,4,6}:{(21,1),(22,1),(24,1),(67,1),(68,1),(69,1),(70,1)}
        43:{1,2,3,5}:{(22,1),(69,1),(70,1),(137,1),(199,1),(200,1)}
        44:{1,3,6}:{(23,1),(29,1),(68,1),(75,1)}
        45:{1,3,5}:{(24,1),(69,1),(73,1),(76,1),(137,1)}
        46:{3,5,7}:{(25,1),(26,1),(75,1),(76,1),(91,1),(137,1),(158,1),(196,1)}
        47:{3,4,6}:{(25,1),(27,1),(75,1),(76,1),(146,1)}
        48:{1,2,4,6}:{(26,1),(28,1),(29,1),(34,1),(68,1),(75,1),(78,1),(85,1),(131,1),(146,1)}
        49:{1,2,5}:{(27,1),(76,1)}
        50:{2,4,6,7}:{(28,1),(30,1),(37,1),(79,1),(94,1),(201,1),(205,1)}
        51:{2,5,6}:{(28,1),(31,1),(79,1)}
        52:{1,4,6,7}:{(29,1),(30,1),(71,1),(81,1),(140,1),(163,1),(204,1)}
        53:{1,5,6}:{(29,1),(31,1),(81,1)}
        54:{3,5,7}:{(30,1),(31,1),(79,1),(81,1),(84,1)}
        55:{4,5,6}:{(31,1),(84,1),(146,1)}
        56:{1,4,5,7}:{(32,1),(74,1),(85,1),(88,1),(153,1),(155,1),(195,1),(225,1)}
        57:{1,3,6}:{(32,1),(34,1),(75,1),(85,1)}
        58:{1,3,5}:{(33,1),(35,1),(76,1),(88,1),(91,1)}
        59:{1,2,6,7}:{(34,1),(37,1),(86,1),(89,1),(204,1),(226,1),(227,1)}
        60:{1,2,5,6}:{(34,1),(35,1),(38,1),(87,1),(89,1),(90,1),(149,1),(208,1)}
        61:{1,2,4,5}:{(35,1),(36,1),(39,1),(88,1),(90,1),(91,1),(96,1),(157,1),(161,1)}
        62:{3,4}:{(36,1),(91,1)}
        63:{2,3,5,7}:{(37,1),(38,1),(79,1),(89,1),(94,1),(145,1),(148,1),(158,1)}
        64:{2,4,6}:{(38,1),(39,1),(94,1),(95,1),(146,1)}
        65:{3,4,5}:{(39,1),(91,1),(95,1),(96,1)}
        66:{2,3,5,7}:{(40,1),(41,1),(46,1),(97,1),(98,1),(99,1),(127,1),(189,1)}
        67:{2,3,4,6}:{(40,1),(42,1),(47,1),(98,1),(99,1),(103,1),(167,1),(170,1)}
        68:{1,2,6}:{(41,1),(44,1),(98,1)}
        69:{1,2,5}:{(42,1),(45,1),(99,1)}
        70:{1,2,4}:{(43,1),(103,1)}
        71:{1,3,6,7}:{(44,1),(52,1),(100,1),(104,1),(108,1),(181,1),(188,1)}
        72:{1,3,5,6}:{(44,1),(45,1),(53,1),(101,1),(104,1),(105,1),(109,1),(117,1),(170,1)}
        73:{1,4,5}:{(45,1),(105,1),(106,1),(110,1)}
        74:{3,4,5,7}:{(46,1),(56,1),(97,1),(107,1),(110,1),(123,1),(168,1),(176,1),(178,1),(186,1),(214,1)}
        75:{3,6}:{(46,1),(48,1)}
        76:{3,5}:{(47,1),(49,1),(110,1)}
        77:{1,2,4,6,7}:{(48,1),(50,1),(52,1),(59,1),(100,1),(108,1),(111,1),(119,1),(124,1),(164,1),(169,1),(178,1)}
        78:{1,2,5,6}:{(48,1),(49,1),(51,1),(53,1),(109,1),(111,1),(120,1),(165,1)}
        79:{2,5,7}:{(50,1),(51,1),(54,1)}
        80:{2,4,5,6}:{(51,1),(55,1),(64,1),(113,1),(114,1)}
        81:{1,5,7}:{(52,1),(53,1),(54,1)}
        82:{1,4,5,6}:{(53,1),(55,1),(105,1),(116,1),(117,1)}
        83:{3,5,6,7}:{(54,1),(112,1),(115,1),(118,1),(179,1),(181,1)}
        84:{4,5,7}:{(54,1),(55,1),(118,1),(178,1)}
        85:{1,4,6}:{(56,1),(57,1),(107,1),(120,1)}
        86:{1,3,6,7}:{(57,1),(59,1),(108,1),(119,1),(121,1),(216,1),(220,1)}
        87:{1,3,5,6}:{(57,1),(58,1),(60,1),(109,1),(120,1),(121,1),(122,1),(125,1),(185,1)}
        88:{1,4,5}:{(58,1),(110,1),(122,1),(123,1)}
        89:{1,2,5,7}:{(59,1),(60,1),(63,1),(121,1),(124,1),(180,1),(221,1)}
        90:{1,2,4,6}:{(60,1),(61,1),(64,1),(122,1),(124,1),(125,1),(130,1),(187,1),(190,1)}
        91:{3,5}:{(61,1),(62,1),(125,1)}
        92:{1,3,4}:{(62,1),(126,1),(128,1)}
        93:{2,3,4}:{(62,1),(127,1),(128,1)}
        94:{2,4,7}:{(63,1),(64,1),(129,1),(178,1)}
        95:{3,4,6}:{(64,1),(65,1),(114,1),(125,1),(129,1),(130,1)}
        96:{1,4,5}:{(65,1),(126,1),(130,1)}
        97:{2,4,5,7}:{(66,1),(74,1),(131,1),(134,1),(157,1),(191,1),(193,1),(209,1)}
        98:{2,3,6}:{(66,1),(68,1),(75,1),(131,1)}
        99:{2,3,5}:{(67,1),(69,1),(76,1),(134,1),(137,1)}
       100:{1,2,6,7}:{(68,1),(71,1),(132,1),(135,1),(205,1),(210,1),(230,1)}
       101:{1,2,5,6}:{(68,1),(69,1),(72,1),(133,1),(135,1),(136,1),(152,1),(224,1)}
       102:{1,2,4,5}:{(69,1),(70,1),(73,1),(134,1),(136,1),(137,1),(142,1),(195,1),(199,1)}
       103:{3,4}:{(70,1),(137,1)}
       104:{1,3,5,7}:{(71,1),(72,1),(81,1),(135,1),(140,1),(145,1),(151,1),(196,1)}
       105:{1,4,6}:{(72,1),(73,1),(140,1),(141,1),(146,1)}
       106:{3,4,5}:{(73,1),(137,1),(141,1),(142,1)}
       107:{3,4,6}:{(74,1),(75,1),(85,1),(131,1),(144,1),(146,1)}
       108:{3,6,7}:{(75,1),(77,1),(145,1),(158,1),(196,1)}
       109:{3,5,6}:{(75,1),(76,1),(78,1),(145,1),(146,1)}
       110:{4,5}:{(76,1),(146,1)}
       111:{1,2,5,7}:{(77,1),(78,1),(79,1),(81,1),(145,1),(153,1),(191,1)}
       112:{2,5,6,7}:{(79,1),(83,1),(147,1),(205,1)}
       113:{2,4,5,7}:{(79,1),(80,1),(84,1),(94,1),(147,1),(148,1)}
       114:{3,5,6}:{(80,1),(95,1),(148,1),(149,1)}
       115:{1,5,6,7}:{(81,1),(83,1),(150,1),(204,1)}
       116:{1,4,5,7}:{(81,1),(82,1),(84,1),(140,1),(150,1),(151,1)}
       117:{3,5,6}:{(82,1),(141,1),(151,1),(152,1)}
       118:{4,6,7}:{(83,1),(84,1)}
       119:{1,4,6,7}:{(85,1),(86,1),(143,1),(153,1),(155,1),(225,1),(230,1)}
       120:{1,5,6}:{(85,1),(144,1),(153,1)}
       121:{1,3,5,7}:{(86,1),(87,1),(89,1),(145,1),(153,1),(155,1),(158,1),(207,1)}
       122:{1,4,6}:{(87,1),(88,1),(146,1),(155,1),(156,1)}
       123:{3,4,5}:{(88,1),(91,1),(156,1),(157,1)}
       124:{1,2,4,7}:{(89,1),(90,1),(94,1),(155,1),(158,1),(163,1),(209,1),(210,1)}
       125:{3,6}:{(90,1),(91,1),(158,1)}
       126:{1,3,5}:{(91,1),(92,1),(96,1),(159,1),(161,1)}
       127:{2,3,5}:{(91,1),(93,1),(157,1),(160,1),(161,1)}
       128:{1,2,4}:{(92,1),(93,1),(161,1),(162,1)}
       129:{3,4,7}:{(94,1),(95,1),(148,1),(158,1),(163,1)}
       130:{1,4,6}:{(95,1),(96,1),(149,1),(159,1),(163,1)}
       131:{2,4,6}:{(97,1),(98,1),(107,1),(165,1)}
       132:{2,3,6,7}:{(98,1),(100,1),(108,1),(164,1),(166,1),(189,1),(228,1)}
       133:{2,3,5,6}:{(98,1),(99,1),(101,1),(109,1),(165,1),(166,1),(167,1),(170,1),(213,1)}
       134:{2,4,5}:{(99,1),(110,1),(167,1),(168,1)}
       135:{1,2,5,7}:{(100,1),(101,1),(104,1),(166,1),(169,1),(182,1),(229,1)}
       136:{1,2,4,6}:{(101,1),(102,1),(105,1),(167,1),(169,1),(170,1),(175,1),(215,1),(218,1)}
       137:{3,5}:{(102,1),(103,1),(170,1)}
       138:{1,3,4}:{(103,1),(171,1),(173,1)}
       139:{2,3,4}:{(103,1),(172,1),(173,1)}
       140:{1,4,7}:{(104,1),(105,1),(174,1),(178,1)}
       141:{3,4,6}:{(105,1),(106,1),(117,1),(170,1),(174,1),(175,1)}
       142:{2,4,5}:{(106,1),(172,1),(175,1)}
       143:{3,4,6,7}:{(107,1),(108,1),(119,1),(164,1),(176,1),(178,1),(186,1),(214,1),(219,1),(220,1),(228,1)}
       144:{3,5,6}:{(107,1),(120,1),(165,1),(176,1),(177,1)}
       145:{3,5,7}:{(108,1),(109,1),(111,1),(178,1)}
       146:{4,6}:{(109,1),(110,1),(178,1)}
       147:{2,4,6,7}:{(112,1),(113,1),(118,1),(179,1)}
       148:{3,5,7}:{(113,1),(114,1),(129,1),(179,1),(180,1)}
       149:{1,5,6}:{(114,1),(130,1),(180,1)}
       150:{1,4,6,7}:{(115,1),(116,1),(118,1),(181,1)}
       151:{3,5,7}:{(116,1),(117,1),(174,1),(181,1),(182,1)}
       152:{2,5,6}:{(117,1),(175,1),(182,1)}
       153:{1,5,7}:{(119,1),(120,1),(176,1)}
       154:{1,4,5,6}:{(120,1),(122,1),(177,1),(184,1),(185,1)}
       155:{1,4,7}:{(121,1),(122,1),(178,1),(186,1)}
       156:{3,4,6}:{(122,1),(123,1),(125,1),(185,1),(186,1),(187,1)}
       157:{2,4,5}:{(123,1),(127,1),(187,1)}
       158:{3,7}:{(124,1),(125,1)}
       159:{1,3,6}:{(125,1),(126,1),(130,1),(188,1),(190,1)}
       160:{2,3,6}:{(125,1),(127,1),(187,1),(189,1),(190,1)}
       161:{1,2,5}:{(126,1),(127,1),(128,1),(190,1)}
       162:{1,2,3}:{(128,1)}
       163:{1,4,7}:{(129,1),(130,1),(180,1),(188,1)}
       164:{2,4,6,7}:{(131,1),(132,1),(143,1),(191,1),(193,1),(209,1),(227,1)}
       165:{2,5,6}:{(131,1),(144,1),(191,1)}
       166:{2,3,5,7}:{(132,1),(133,1),(135,1),(145,1),(191,1),(193,1),(196,1),(223,1)}
       167:{2,4,6}:{(133,1),(134,1),(146,1),(193,1),(194,1)}
       168:{3,4,5}:{(134,1),(137,1),(194,1),(195,1)}
       169:{1,2,4,7}:{(135,1),(136,1),(140,1),(193,1),(196,1),(201,1),(225,1),(226,1)}
       170:{3,6}:{(136,1),(137,1),(196,1)}
       171:{1,3,5}:{(137,1),(138,1),(195,1),(197,1),(199,1)}
       172:{2,3,5}:{(137,1),(139,1),(142,1),(198,1),(199,1)}
       173:{1,2,4}:{(138,1),(139,1),(199,1),(200,1)}
       174:{3,4,7}:{(140,1),(141,1),(151,1),(196,1),(201,1)}
       175:{2,4,6}:{(141,1),(142,1),(152,1),(198,1),(201,1)}
       176:{3,5,7}:{(143,1),(144,1),(153,1),(191,1),(203,1)}
       177:{4,5,6}:{(144,1),(146,1),(203,1)}
       178:{4,7}:{(145,1),(146,1)}
       179:{3,6,7}:{(147,1),(148,1),(204,1)}
       180:{1,5,7}:{(148,1),(149,1),(163,1),(204,1)}
       181:{3,6,7}:{(150,1),(151,1),(205,1)}
       182:{2,5,7}:{(151,1),(152,1),(201,1),(205,1)}
       183:{1,5,6,7}:{(153,1),(202,1),(206,1),(230,1)}
       184:{1,4,5,7}:{(153,1),(154,1),(155,1),(203,1),(206,1),(207,1)}
       185:{3,5,6}:{(154,1),(156,1),(207,1),(208,1)}
       186:{3,4,7}:{(155,1),(156,1),(158,1),(207,1),(209,1)}
       187:{2,4,6}:{(156,1),(157,1),(160,1),(208,1),(209,1)}
       188:{1,3,7}:{(158,1),(159,1),(163,1),(210,1)}
       189:{2,3,7}:{(158,1),(160,1),(209,1),(210,1)}
       190:{1,2,6}:{(159,1),(160,1),(161,1),(210,1)}
       191:{2,5,7}:{(164,1),(165,1),(176,1)}
       192:{2,4,5,6}:{(165,1),(167,1),(177,1),(212,1),(213,1)}
       193:{2,4,7}:{(166,1),(167,1),(178,1),(214,1)}
       194:{3,4,6}:{(167,1),(168,1),(170,1),(213,1),(214,1),(215,1)}
       195:{1,4,5}:{(168,1),(171,1),(215,1)}
       196:{3,7}:{(169,1),(170,1)}
       197:{1,3,6}:{(170,1),(171,1),(215,1),(216,1),(218,1)}
       198:{2,3,6}:{(170,1),(172,1),(175,1),(217,1),(218,1)}
       199:{1,2,5}:{(171,1),(172,1),(173,1),(218,1)}
       200:{1,2,3}:{(173,1)}
       201:{2,4,7}:{(174,1),(175,1),(182,1),(217,1)}
       202:{3,5,6,7}:{(176,1),(183,1),(211,1),(219,1),(220,1),(228,1)}
       203:{4,5,7}:{(176,1),(177,1),(178,1),(219,1)}
       204:{1,6,7}:{(179,1),(180,1)}
       205:{2,6,7}:{(181,1),(182,1)}
       206:{1,4,6,7}:{(183,1),(184,1),(219,1),(220,1)}
       207:{3,5,7}:{(184,1),(185,1),(186,1),(220,1),(221,1)}
       208:{2,5,6}:{(185,1),(187,1),(221,1)}
       209:{2,4,7}:{(186,1),(187,1),(189,1),(221,1)}
       210:{1,2,7}:{(188,1),(189,1),(190,1)}
       211:{2,5,6,7}:{(191,1),(202,1),(222,1),(227,1)}
       212:{2,4,5,7}:{(191,1),(192,1),(193,1),(203,1),(222,1),(223,1)}
       213:{3,5,6}:{(192,1),(194,1),(223,1),(224,1)}
       214:{3,4,7}:{(193,1),(194,1),(196,1),(223,1),(225,1)}
       215:{1,4,6}:{(194,1),(195,1),(197,1),(224,1),(225,1)}
       216:{1,3,7}:{(196,1),(197,1),(225,1),(226,1)}
       217:{2,3,7}:{(196,1),(198,1),(201,1),(226,1)}
       218:{1,2,6}:{(197,1),(198,1),(199,1),(226,1)}
       219:{4,6,7}:{(202,1),(203,1)}
       220:{3,6,7}:{(206,1),(207,1),(227,1)}
       221:{2,5,7}:{(207,1),(208,1),(209,1),(227,1)}
       222:{2,4,6,7}:{(211,1),(212,1),(219,1),(228,1)}
       223:{3,5,7}:{(212,1),(213,1),(214,1),(228,1),(229,1)}
       224:{1,5,6}:{(213,1),(215,1),(229,1)}
       225:{1,4,7}:{(214,1),(215,1),(216,1),(229,1)}
       226:{1,2,7}:{(216,1),(217,1),(218,1)}
       227:{2,6,7}:{(220,1),(221,1)}
       228:{3,6,7}:{(222,1),(223,1),(230,1)}
       229:{1,5,7}:{(223,1),(224,1),(225,1),(230,1)}
       230:{1,6,7}:{(228,1),(229,1)}

 970 :   0:{1,2,3}:{(4,1)}
         1:{2,3,4}:{(4,1),(5,1),(18,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(8,1),(9,1),(14,1),(30,1),(33,1),(35,1)}
         3:{3,4,5}:{(10,1),(11,1),(12,1),(33,1),(66,1)}
         4:{1,2,4}:{(0,1),(1,1),(13,1),(14,1)}
         5:{2,3,5}:{(1,1),(10,1),(14,1),(15,1),(33,1)}
         6:{1,2,3}:{(16,1)}
         7:{1,3,4}:{(16,1),(17,1),(18,1)}
         8:{1,2,3,6}:{(2,1),(19,1),(20,1),(27,1),(47,1),(52,1)}
         9:{1,2,4}:{(2,1),(18,1)}
        10:{2,4,5}:{(3,1),(5,1),(22,1)}
        11:{1,4,5}:{(3,1),(17,1),(23,1)}
        12:{3,4,6}:{(3,1),(22,1),(23,1),(24,1),(25,1),(52,1),(82,1)}
        13:{1,3,4}:{(4,1),(18,1),(26,1)}
        14:{1,2,5}:{(4,1),(5,1),(26,1),(27,1)}
        15:{2,3,6}:{(5,1),(22,1),(27,1),(28,1),(52,1)}
        16:{1,2,4}:{(6,1),(7,1),(29,1),(30,1)}
        17:{1,3,5}:{(7,1),(11,1),(30,1),(31,1),(33,1)}
        18:{3,4}:{(9,1),(33,1)}
        19:{1,2,3,7}:{(8,1),(34,1),(45,1),(64,1),(69,1)}
        20:{1,2,4,6}:{(8,1),(9,1),(32,1),(34,1),(35,1),(70,1)}
        21:{1,2,4,5}:{(9,1),(10,1),(11,1),(14,1),(30,1),(33,1),(35,1),(36,1),(43,1),(62,1),(66,1)}
        22:{2,4,6}:{(10,1),(12,1),(15,1),(37,1),(38,1)}
        23:{1,4,6}:{(11,1),(12,1),(31,1),(39,1),(40,1)}
        24:{3,5,6}:{(12,1),(37,1),(39,1),(41,1),(42,1)}
        25:{3,4,7}:{(12,1),(38,1),(40,1),(42,1),(69,1),(93,1)}
        26:{1,3,5}:{(13,1),(14,1),(33,1),(43,1),(44,1)}
        27:{1,2,6}:{(14,1),(15,1),(44,1),(45,1)}
        28:{2,3,7}:{(15,1),(38,1),(45,1),(69,1)}
        29:{2,3,4}:{(16,1),(18,1),(46,1)}
        30:{1,2,5}:{(16,1),(17,1),(46,1),(47,1)}
        31:{1,3,6}:{(17,1),(23,1),(47,1),(48,1),(52,1)}
        32:{3,4,6}:{(18,1),(20,1),(50,1),(51,1),(52,1),(82,1),(83,1)}
        33:{3,5}:{(18,1),(21,1),(52,1)}
        34:{1,2,4,7}:{(19,1),(20,1),(50,1),(53,1)}
        35:{1,2,5}:{(20,1),(51,1)}
        36:{1,2,4,6}:{(21,1),(22,1),(23,1),(27,1),(47,1),(52,1),(54,1),(55,1),(60,1),(77,1),(82,1)}
        37:{2,5,6}:{(22,1),(24,1),(56,1)}
        38:{2,4,7}:{(22,1),(25,1),(28,1),(56,1)}
        39:{1,5,6}:{(23,1),(24,1),(57,1)}
        40:{1,4,7}:{(23,1),(25,1),(48,1),(57,1)}
        41:{4,5,6}:{(24,1),(58,1),(82,1),(99,1)}
        42:{3,5,7}:{(24,1),(25,1),(56,1),(57,1),(58,1),(59,1)}
        43:{1,4,5}:{(26,1),(49,1),(60,1)}
        44:{1,3,6}:{(26,1),(27,1),(52,1),(60,1),(61,1)}
        45:{1,2,7}:{(27,1),(28,1),(61,1)}
        46:{2,3,5}:{(29,1),(30,1),(33,1),(62,1),(63,1)}
        47:{1,2,6}:{(30,1),(31,1),(63,1),(64,1)}
        48:{1,3,7}:{(31,1),(40,1),(64,1),(69,1)}
        49:{3,4,5}:{(33,1),(43,1),(62,1),(65,1),(66,1)}
        50:{3,4,7}:{(32,1),(34,1),(67,1),(69,1),(93,1)}
        51:{3,5}:{(32,1),(35,1),(66,1)}
        52:{3,6}:{(33,1),(36,1),(69,1)}
        53:{1,2,5,7}:{(34,1),(35,1),(67,1),(70,1)}
        54:{1,2,5,6}:{(35,1),(36,1),(37,1),(39,1),(68,1),(70,1),(71,1),(75,1),(88,1)}
        55:{1,2,4,7}:{(36,1),(38,1),(40,1),(45,1),(64,1),(69,1),(71,1),(76,1),(89,1),(93,1)}
        56:{2,5,7}:{(37,1),(38,1),(42,1),(72,1)}
        57:{1,5,7}:{(39,1),(40,1),(42,1),(73,1)}
        58:{4,5,7}:{(41,1),(42,1),(74,1),(93,1),(103,1)}
        59:{3,6,7}:{(42,1),(72,1),(73,1),(74,1)}
        60:{1,4,6}:{(43,1),(44,1),(65,1),(75,1),(76,1)}
        61:{1,3,7}:{(44,1),(45,1),(69,1),(76,1)}
        62:{2,4,5}:{(46,1),(49,1),(77,1)}
        63:{2,3,6}:{(46,1),(47,1),(52,1),(77,1),(78,1)}
        64:{1,2,7}:{(47,1),(48,1),(78,1)}
        65:{3,4,6}:{(49,1),(52,1),(60,1),(77,1),(79,1),(80,1),(82,1)}
        66:{4,5}:{(51,1),(82,1)}
        67:{3,5,7}:{(50,1),(51,1),(53,1),(81,1),(83,1)}
        68:{3,5,6}:{(51,1),(52,1),(54,1),(82,1),(83,1),(84,1),(99,1)}
        69:{3,7}:{(52,1),(55,1)}
        70:{1,2,6}:{(53,1),(83,1)}
        71:{1,2,5,7}:{(54,1),(55,1),(56,1),(57,1),(84,1),(85,1),(87,1),(96,1)}
        72:{2,6,7}:{(56,1),(59,1)}
        73:{1,6,7}:{(57,1),(59,1)}
        74:{4,6,7}:{(58,1),(59,1),(86,1)}
        75:{1,5,6}:{(60,1),(79,1),(87,1)}
        76:{1,4,7}:{(60,1),(61,1),(80,1),(87,1)}
        77:{2,4,6}:{(62,1),(63,1),(65,1),(88,1),(89,1)}
        78:{2,3,7}:{(63,1),(64,1),(69,1),(89,1)}
        79:{3,5,6}:{(65,1),(75,1),(88,1),(90,1),(91,1)}
        80:{3,4,7}:{(65,1),(69,1),(76,1),(89,1),(91,1),(93,1)}
        81:{4,5,7}:{(66,1),(67,1),(92,1),(93,1),(103,1)}
        82:{4,6}:{(66,1),(68,1),(93,1)}
        83:{3,6}:{(67,1),(70,1),(92,1)}
        84:{3,5,7}:{(68,1),(69,1),(71,1),(93,1),(94,1),(103,1)}
        85:{1,2,6,7}:{(70,1),(71,1),(72,1),(73,1),(94,1),(95,1),(101,1)}
        86:{5,6,7}:{(74,1),(103,1)}
        87:{1,5,7}:{(75,1),(76,1),(91,1),(95,1)}
        88:{2,5,6}:{(77,1),(79,1),(96,1)}
        89:{2,4,7}:{(77,1),(78,1),(80,1),(96,1)}
        90:{4,5,6}:{(79,1),(82,1),(97,1),(99,1)}
        91:{3,5,7}:{(79,1),(80,1),(87,1),(96,1),(97,1),(98,1)}
        92:{4,6}:{(81,1),(83,1),(99,1)}
        93:{4,7}:{(82,1),(84,1)}
        94:{3,6,7}:{(83,1),(84,1),(85,1),(100,1)}
        95:{1,6,7}:{(87,1),(98,1)}
        96:{2,5,7}:{(88,1),(89,1),(91,1),(101,1)}
        97:{4,5,7}:{(90,1),(91,1),(93,1),(102,1),(103,1)}
        98:{3,6,7}:{(91,1),(95,1),(101,1),(102,1)}
        99:{5,6}:{(92,1),(103,1)}
       100:{4,6,7}:{(92,1),(93,1),(94,1),(103,1)}
       101:{2,6,7}:{(96,1),(98,1)}
       102:{4,6,7}:{(97,1),(98,1),(104,1)}
       103:{5,7}:{(99,1),(100,1)}
       104:{5,6,7}:{(102,1),(103,1)}

 971 :   0:{2,4,5,6}:{(3,1),(4,1),(25,1),(80,1),(81,1)}
         1:{2,3,4,6}:{(5,1),(6,1),(7,1),(25,1),(38,1),(71,1),(76,1),(114,1),(130,1)}
         2:{3,4,5}:{(9,1),(10,1),(11,1),(50,1)}
         3:{3,5,6}:{(0,1),(9,1),(13,1),(15,1)}
         4:{2,4,5,7}:{(0,1),(15,1),(16,1),(48,1),(103,1),(104,1)}
         5:{2,3,5}:{(1,1),(11,1),(17,1),(50,1),(137,1),(153,1)}
         6:{1,2,4,6}:{(1,1),(17,1),(19,1),(20,1),(60,1),(62,1),(113,1)}
         7:{2,3,4,7}:{(1,1),(18,1),(20,1),(48,1),(100,1),(105,1),(138,1),(187,1)}
         8:{1,3,4}:{(21,1),(22,1),(76,1)}
         9:{3,4,6}:{(2,1),(3,1),(24,1),(25,1),(26,1),(71,1)}
        10:{1,4,5}:{(2,1),(21,1),(24,1)}
        11:{2,4,5}:{(2,1),(5,1),(25,1),(175,1)}
        12:{3,4,5,7}:{(2,1),(26,1),(28,1),(29,1),(30,1),(75,1),(77,1),(124,1),(163,1),(173,1),(175,1)}
        13:{1,5,6}:{(3,1),(24,1),(32,1)}
        14:{2,3,5,6}:{(3,1),(5,1),(25,1),(31,1),(33,1),(38,1),(71,1),(80,1),(131,1)}
        15:{3,5,7}:{(3,1),(4,1),(26,1),(32,1),(34,1)}
        16:{2,4,6,7}:{(4,1),(34,1),(35,1),(86,1)}
        17:{1,2,5}:{(5,1),(6,1),(36,1),(136,1)}
        18:{2,3,5,7}:{(5,1),(7,1),(29,1),(37,1),(38,1),(77,1),(159,1),(170,1),(195,1)}
        19:{1,3,6}:{(6,1),(36,1),(39,1),(71,1)}
        20:{1,2,4,7}:{(6,1),(7,1),(37,1),(39,1),(87,1),(199,1)}
        21:{1,3,5}:{(8,1),(10,1),(40,1),(41,1),(50,1)}
        22:{1,2,4}:{(8,1),(41,1),(43,1),(92,1)}
        23:{1,3,4,7}:{(8,1),(42,1),(44,1),(45,1),(105,1),(141,1),(180,1),(203,1)}
        24:{1,4,6}:{(9,1),(10,1),(13,1),(40,1),(47,1)}
        25:{2,4,6}:{(9,1),(11,1),(14,1),(48,1),(154,1)}
        26:{3,4,7}:{(9,1),(15,1),(47,1),(48,1),(100,1)}
        27:{1,2,4,5}:{(10,1),(11,1),(17,1),(41,1),(46,1),(50,1),(60,1),(92,1),(109,1),(137,1)}
        28:{1,4,5,7}:{(10,1),(12,1),(42,1),(47,1),(52,1),(98,1),(102,1),(141,1)}
        29:{2,4,5,7}:{(11,1),(12,1),(18,1),(48,1),(53,1),(103,1),(148,1),(181,1)}
        30:{3,4,6}:{(12,1),(52,1),(53,1),(54,1),(106,1),(154,1)}
        31:{1,2,5,6}:{(13,1),(14,1),(17,1),(46,1),(55,1),(56,1),(62,1),(137,1),(177,1)}
        32:{1,5,7}:{(13,1),(15,1),(47,1),(57,1)}
        33:{2,3,5,7}:{(14,1),(15,1),(48,1),(56,1),(58,1),(100,1),(103,1),(151,1)}
        34:{3,6,7}:{(15,1),(16,1),(57,1)}
        35:{2,5,6,7}:{(16,1),(59,1),(103,1),(158,1)}
        36:{1,3,5}:{(17,1),(19,1),(50,1),(60,1)}
        37:{1,2,5,7}:{(17,1),(18,1),(20,1),(61,1),(62,1),(188,1),(204,1)}
        38:{2,3,6}:{(18,1),(53,1),(62,1),(106,1),(177,1)}
        39:{1,3,7}:{(19,1),(20,1),(100,1),(206,1)}
        40:{1,3,6}:{(21,1),(24,1),(63,1),(64,1),(71,1)}
        41:{1,2,5}:{(21,1),(22,1),(63,1),(65,1)}
        42:{1,3,5,7}:{(21,1),(23,1),(28,1),(64,1),(66,1),(67,1),(70,1),(77,1),(208,1)}
        43:{2,3}:{(22,1)}
        44:{1,2,4,7}:{(22,1),(23,1),(66,1),(68,1),(69,1),(118,1)}
        45:{1,3,4,6}:{(23,1),(67,1),(69,1),(70,1),(121,1),(130,1),(166,1),(168,1),(197,1)}
        46:{1,2,4,6}:{(24,1),(25,1),(27,1),(31,1),(63,1),(71,1),(72,1),(82,1),(114,1)}
        47:{1,4,7}:{(24,1),(26,1),(32,1),(64,1)}
        48:{2,4,7}:{(25,1),(26,1),(33,1),(173,1)}
        49:{3,4,6,7}:{(26,1),(30,1),(34,1),(73,1),(74,1),(75,1),(86,1),(127,1),(135,1),(163,1),(173,1)}
        50:{3,5}:{(27,1),(71,1),(76,1)}
        51:{1,2,4,5,7}:{(27,1),(28,1),(29,1),(37,1),(66,1),(72,1),(77,1),(78,1),(87,1),(118,1),(123,1),(128,1),(133,1),(136,1),(159,1),(162,1),(164,1),(173,1),(175,1),(192,1),(208,1)}
        52:{1,4,6}:{(28,1),(30,1),(67,1),(79,1)}
        53:{2,4,6}:{(29,1),(30,1),(38,1),(80,1)}
        54:{3,5,6}:{(30,1),(75,1),(79,1),(80,1),(81,1)}
        55:{1,3,5,6}:{(31,1),(36,1),(71,1),(82,1),(83,1),(88,1),(125,1),(131,1),(136,1),(171,1),(176,1)}
        56:{1,2,5,7}:{(31,1),(32,1),(33,1),(72,1),(83,1),(84,1),(159,1)}
        57:{1,6,7}:{(32,1),(34,1)}
        58:{2,3,6,7}:{(33,1),(34,1),(38,1),(74,1),(84,1),(127,1),(195,1)}
        59:{3,5,6,7}:{(34,1),(35,1),(75,1),(85,1),(86,1),(135,1)}
        60:{1,4}:{(36,1),(76,1)}
        61:{1,3,5,7}:{(36,1),(37,1),(39,1),(77,1),(87,1),(88,1),(136,1),(169,1),(194,1),(208,1)}
        62:{1,2,6}:{(37,1),(38,1),(88,1)}
        63:{1,2,6}:{(40,1),(41,1),(89,1),(90,1)}
        64:{1,3,7}:{(40,1),(47,1),(90,1),(100,1)}
        65:{2,3,5}:{(41,1),(43,1),(50,1),(89,1),(92,1),(137,1)}
        66:{1,2,5,7}:{(41,1),(42,1),(44,1),(90,1),(93,1),(94,1),(97,1)}
        67:{1,3,6}:{(42,1),(52,1),(94,1),(106,1),(209,1)}
        68:{2,3,7}:{(43,1),(44,1),(96,1),(180,1)}
        69:{1,2,4,6}:{(44,1),(45,1),(94,1),(96,1),(97,1),(142,1),(146,1)}
        70:{1,3,5}:{(45,1),(97,1),(98,1),(147,1),(153,1),(205,1)}
        71:{3,6}:{(46,1),(50,1),(100,1)}
        72:{1,2,4,7}:{(46,1),(47,1),(48,1),(56,1),(90,1),(100,1),(110,1),(138,1)}
        73:{1,4,6,7}:{(47,1),(49,1),(52,1),(57,1),(91,1),(102,1),(141,1)}
        74:{2,4,6,7}:{(48,1),(49,1),(53,1),(58,1),(103,1),(158,1),(181,1)}
        75:{3,5,7}:{(49,1),(54,1),(102,1),(103,1),(104,1)}
        76:{3,4}:{(50,1),(60,1),(92,1)}
        77:{3,5,7}:{(50,1),(51,1),(100,1),(105,1),(106,1),(147,1),(153,1),(180,1)}
        78:{1,2,4,6}:{(51,1),(52,1),(53,1),(62,1),(94,1),(106,1),(107,1),(113,1),(142,1),(154,1),(156,1),(177,1),(201,1),(209,1)}
        79:{1,5,6}:{(52,1),(54,1),(102,1)}
        80:{2,5,6}:{(53,1),(54,1),(103,1)}
        81:{4,5,6}:{(54,1),(104,1),(154,1)}
        82:{1,4,6}:{(55,1),(60,1),(99,1),(109,1),(110,1),(154,1)}
        83:{1,3,5,7}:{(55,1),(56,1),(100,1),(110,1),(111,1),(149,1),(151,1),(157,1)}
        84:{1,2,6,7}:{(56,1),(57,1),(58,1),(62,1),(111,1),(177,1),(204,1)}
        85:{1,5,6,7}:{(57,1),(59,1),(102,1),(112,1)}
        86:{4,6,7}:{(59,1),(104,1)}
        87:{1,4,7}:{(60,1),(61,1),(105,1),(113,1),(186,1)}
        88:{1,3,6}:{(61,1),(62,1),(106,1),(113,1),(209,1)}
        89:{2,3,6}:{(63,1),(65,1),(71,1),(114,1),(115,1)}
        90:{1,2,7}:{(63,1),(64,1),(115,1)}
        91:{1,3,6,7}:{(64,1),(67,1),(73,1),(116,1),(117,1),(127,1),(135,1)}
        92:{2,4}:{(65,1),(76,1)}
        93:{2,3,5,7}:{(65,1),(66,1),(68,1),(77,1),(115,1),(118,1),(119,1),(122,1),(159,1),(164,1)}
        94:{1,2,6}:{(66,1),(67,1),(119,1)}
        95:{1,3,5,6}:{(67,1),(70,1),(79,1),(117,1),(120,1),(121,1),(131,1),(132,1),(166,1)}
        96:{2,3,6}:{(68,1),(69,1),(122,1),(166,1)}
        97:{1,2,5}:{(69,1),(70,1),(122,1),(164,1)}
        98:{1,4,5}:{(70,1),(121,1),(124,1),(175,1)}
        99:{3,4,6}:{(71,1),(76,1),(82,1),(114,1),(125,1),(126,1),(171,1)}
       100:{3,7}:{(71,1),(72,1)}
       101:{1,2,4,6,7}:{(72,1),(73,1),(74,1),(78,1),(84,1),(116,1),(127,1),(128,1),(134,1),(160,1),(162,1),(173,1)}
       102:{1,5,7}:{(73,1),(75,1),(79,1)}
       103:{2,5,7}:{(74,1),(75,1),(80,1)}
       104:{4,5,7}:{(75,1),(81,1),(86,1),(173,1)}
       105:{3,4,7}:{(76,1),(77,1),(87,1),(118,1),(130,1),(168,1),(173,1)}
       106:{3,6}:{(77,1),(78,1)}
       107:{1,2,5,6}:{(78,1),(79,1),(80,1),(128,1),(131,1),(136,1),(164,1),(176,1),(191,1)}
       108:{1,4,5,6}:{(79,1),(81,1),(121,1),(129,1),(132,1)}
       109:{1,4,5}:{(82,1),(125,1),(136,1),(175,1)}
       110:{1,4,7}:{(82,1),(83,1),(126,1),(173,1)}
       111:{1,3,6,7}:{(83,1),(84,1),(88,1),(127,1),(134,1),(171,1),(194,1)}
       112:{1,4,6,7}:{(85,1),(86,1),(129,1),(135,1)}
       113:{1,4,6}:{(87,1),(88,1),(130,1),(136,1)}
       114:{2,4,6}:{(89,1),(92,1),(99,1),(137,1),(138,1),(177,1)}
       115:{2,3,7}:{(89,1),(90,1),(100,1),(138,1)}
       116:{1,2,6,7}:{(90,1),(91,1),(94,1),(139,1),(140,1),(158,1),(209,1)}
       117:{1,3,5,7}:{(91,1),(95,1),(102,1),(140,1),(141,1),(151,1),(152,1),(180,1)}
       118:{2,4,7}:{(92,1),(93,1),(105,1),(142,1),(146,1)}
       119:{2,3,6}:{(93,1),(94,1),(106,1),(142,1),(177,1)}
       120:{1,2,5,6}:{(94,1),(95,1),(97,1),(140,1),(143,1),(144,1),(155,1),(205,1),(209,1)}
       121:{1,4,6}:{(95,1),(98,1),(141,1),(145,1),(154,1)}
       122:{2,3,5}:{(96,1),(97,1),(146,1),(147,1)}
       123:{1,2,4,5}:{(97,1),(98,1),(144,1),(146,1),(147,1),(148,1),(182,1),(186,1),(188,1),(205,1)}
       124:{3,4,5}:{(98,1),(145,1),(147,1),(148,1)}
       125:{3,5}:{(99,1),(109,1),(137,1)}
       126:{3,4,7}:{(99,1),(100,1),(110,1),(138,1),(149,1)}
       127:{3,6,7}:{(100,1),(101,1),(106,1),(151,1),(180,1)}
       128:{1,2,5,7}:{(101,1),(102,1),(103,1),(107,1),(151,1),(157,1),(178,1)}
       129:{1,4,5,7}:{(102,1),(104,1),(108,1),(112,1),(141,1),(152,1)}
       130:{3,4,6}:{(105,1),(106,1),(113,1),(142,1),(153,1),(154,1)}
       131:{3,5,6}:{(106,1),(107,1),(151,1),(153,1),(154,1)}
       132:{3,5,6}:{(108,1),(145,1),(152,1),(155,1)}
       133:{1,4,5,7}:{(109,1),(110,1),(149,1),(156,1),(157,1),(190,1)}
       134:{1,4,6,7}:{(110,1),(111,1),(113,1),(150,1),(156,1),(157,1),(203,1),(209,1)}
       135:{3,6,7}:{(112,1),(152,1),(158,1)}
       136:{1,5}:{(113,1),(153,1)}
       137:{2,5}:{(114,1),(125,1)}
       138:{2,4,7}:{(114,1),(115,1),(126,1),(159,1)}
       139:{2,3,6,7}:{(115,1),(116,1),(119,1),(127,1),(160,1),(161,1),(207,1)}
       140:{1,2,5,7}:{(116,1),(117,1),(120,1),(161,1),(162,1),(174,1),(208,1)}
       141:{1,4,7}:{(117,1),(121,1),(163,1),(173,1)}
       142:{2,4,6}:{(118,1),(119,1),(130,1),(164,1)}
       143:{2,3,5,6}:{(119,1),(120,1),(122,1),(131,1),(161,1),(164,1),(165,1),(166,1),(191,1),(196,1),(207,1)}
       144:{1,2,4,6}:{(120,1),(121,1),(123,1),(162,1),(165,1),(166,1),(167,1),(197,1),(198,1)}
       145:{3,4,6}:{(121,1),(124,1),(132,1),(163,1),(166,1),(167,1)}
       146:{2,4}:{(122,1),(168,1)}
       147:{3,5}:{(123,1),(166,1),(168,1)}
       148:{2,4,5}:{(124,1),(167,1),(170,1)}
       149:{3,5,7}:{(125,1),(126,1),(133,1),(159,1),(171,1)}
       150:{3,4,6,7}:{(126,1),(127,1),(130,1),(134,1),(160,1),(171,1),(172,1),(173,1),(193,1),(200,1),(207,1)}
       151:{3,5,7}:{(127,1),(128,1),(131,1),(173,1)}
       152:{3,5,7}:{(129,1),(132,1),(135,1),(163,1),(174,1)}
       153:{3,5}:{(130,1),(136,1),(164,1),(175,1)}
       154:{4,6}:{(131,1),(173,1),(175,1)}
       155:{2,5,6}:{(132,1),(167,1),(174,1)}
       156:{1,4,6}:{(133,1),(171,1),(176,1),(200,1)}
       157:{1,5,7}:{(134,1),(136,1),(172,1),(176,1)}
       158:{2,6,7}:{(135,1),(174,1)}
       159:{2,5,7}:{(137,1),(138,1),(149,1),(177,1)}
       160:{2,4,6,7}:{(138,1),(139,1),(142,1),(150,1),(177,1),(178,1),(179,1),(201,1)}
       161:{2,3,5,7}:{(139,1),(140,1),(143,1),(151,1),(178,1),(179,1),(180,1),(202,1)}
       162:{1,2,4,7}:{(140,1),(141,1),(144,1),(179,1),(180,1),(181,1),(203,1),(204,1)}
       163:{3,4,7}:{(141,1),(145,1),(152,1),(180,1),(181,1)}
       164:{2,5}:{(142,1),(153,1)}
       165:{2,4,6}:{(143,1),(146,1),(154,1),(179,1),(182,1),(183,1)}
       166:{3,6}:{(144,1),(147,1),(180,1)}
       167:{2,4,6}:{(145,1),(148,1),(155,1),(181,1),(185,1)}
       168:{3,4}:{(146,1),(147,1),(186,1)}
       169:{1,3,5}:{(147,1),(184,1),(186,1),(188,1),(205,1),(206,1)}
       170:{2,3,5}:{(147,1),(148,1),(185,1),(187,1),(188,1)}
       171:{3,6}:{(149,1),(156,1),(177,1)}
       172:{3,5,7}:{(150,1),(153,1),(157,1),(178,1),(189,1),(190,1)}
       173:{4,7}:{(151,1),(154,1)}
       174:{2,5,7}:{(152,1),(155,1),(158,1),(181,1)}
       175:{4,5}:{(153,1),(154,1)}
       176:{1,5,6}:{(156,1),(157,1),(189,1),(209,1)}
       177:{2,6}:{(159,1),(171,1)}
       178:{2,5,7}:{(160,1),(164,1),(172,1),(191,1)}
       179:{2,4,7}:{(161,1),(165,1),(173,1),(193,1)}
       180:{3,7}:{(162,1),(166,1)}
       181:{2,4,7}:{(163,1),(167,1),(174,1),(195,1)}
       182:{2,4,5}:{(164,1),(165,1),(175,1),(196,1)}
       183:{3,4,6}:{(165,1),(166,1),(168,1),(193,1),(196,1),(197,1),(207,1)}
       184:{1,3,6}:{(166,1),(169,1),(194,1),(197,1),(198,1)}
       185:{2,3,6}:{(166,1),(167,1),(170,1),(195,1),(198,1)}
       186:{1,4}:{(168,1),(169,1)}
       187:{2,3,4}:{(168,1),(170,1),(199,1)}
       188:{1,2,5}:{(169,1),(170,1),(198,1),(199,1)}
       189:{3,5,6}:{(171,1),(172,1),(176,1),(191,1),(200,1),(207,1)}
       190:{4,5,7}:{(172,1),(173,1),(175,1),(200,1)}
       191:{2,5,6}:{(177,1),(178,1),(189,1),(201,1)}
       192:{2,4,5,7}:{(178,1),(179,1),(182,1),(190,1),(201,1),(202,1)}
       193:{3,4,7}:{(179,1),(180,1),(183,1),(202,1),(203,1)}
       194:{1,3,7}:{(180,1),(184,1),(203,1),(204,1)}
       195:{2,3,7}:{(180,1),(181,1),(185,1),(204,1)}
       196:{3,5}:{(182,1),(183,1),(205,1)}
       197:{1,4,6}:{(183,1),(184,1),(186,1),(203,1),(205,1),(209,1)}
       198:{1,2,6}:{(184,1),(185,1),(188,1),(204,1)}
       199:{1,2,4}:{(186,1),(187,1),(188,1),(206,1)}
       200:{4,6}:{(189,1),(190,1)}
       201:{2,4,6}:{(191,1),(192,1),(200,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(196,1),(207,1),(208,1)}
       203:{1,4,7}:{(193,1),(194,1),(197,1),(208,1)}
       204:{1,2,7}:{(194,1),(195,1),(198,1)}
       205:{1,5}:{(196,1),(197,1)}
       206:{1,3}:{(199,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{1,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

 972 :   0:{2,3,4,7}:{(2,1),(3,1),(4,1),(63,1),(70,1),(131,1),(176,1),(184,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(8,1),(36,1),(37,1),(50,1),(86,1),(101,1),(143,1),(154,1),(157,1)}
         2:{2,3,5,7}:{(0,1),(7,1),(9,1),(10,1),(13,1),(37,1),(150,1),(192,1),(199,1)}
         3:{1,2,4,7}:{(0,1),(9,1),(11,1),(12,1),(44,1),(196,1)}
         4:{2,3,4,6}:{(0,1),(10,1),(12,1),(13,1),(47,1),(94,1),(104,1),(106,1),(164,1)}
         5:{1,3,4,7}:{(14,1),(15,1),(16,1),(63,1),(111,1),(137,1),(169,1),(202,1)}
         6:{1,4,5,7}:{(1,1),(14,1),(19,1),(57,1),(60,1),(77,1),(111,1),(132,1)}
         7:{2,4,5,7}:{(1,1),(2,1),(20,1),(28,1),(61,1),(70,1),(118,1),(170,1)}
         8:{3,4,6}:{(1,1),(19,1),(20,1),(21,1),(64,1),(126,1)}
         9:{1,2,5,7}:{(2,1),(3,1),(23,1),(24,1),(27,1),(177,1),(203,1)}
        10:{2,3,6}:{(2,1),(20,1),(24,1),(64,1),(206,1)}
        11:{1,3,7}:{(3,1),(26,1),(131,1),(205,1)}
        12:{1,2,4,6}:{(3,1),(4,1),(24,1),(26,1),(27,1),(71,1),(75,1)}
        13:{2,3,5}:{(4,1),(27,1),(28,1),(76,1),(125,1),(186,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(29,1),(30,1),(33,1),(37,1),(107,1),(161,1),(208,1)}
        15:{1,2,4,7}:{(5,1),(29,1),(31,1),(32,1),(80,1),(166,1)}
        16:{1,3,4,6}:{(5,1),(30,1),(32,1),(33,1),(83,1),(94,1),(146,1),(148,1),(194,1)}
        17:{3,4,6,7}:{(8,1),(34,1),(35,1),(36,1),(89,1),(90,1),(101,1),(143,1),(151,1),(152,1),(154,1)}
        18:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(29,1),(37,1),(38,1),(44,1),(49,1),(80,1),(85,1),(91,1),(100,1),(102,1),(142,1),(144,1),(154,1),(157,1),(159,1),(189,1),(199,1),(208,1)}
        19:{1,4,6}:{(6,1),(8,1),(30,1),(39,1)}
        20:{2,4,6}:{(7,1),(8,1),(10,1),(40,1)}
        21:{3,5,6}:{(8,1),(36,1),(39,1),(40,1),(41,1)}
        22:{2,3,6,7}:{(10,1),(35,1),(42,1),(43,1),(90,1),(152,1),(192,1)}
        23:{1,3,5,7}:{(9,1),(11,1),(37,1),(44,1),(45,1),(48,1),(102,1),(149,1),(191,1),(208,1)}
        24:{1,2,6}:{(9,1),(10,1),(45,1)}
        25:{2,3,5,6}:{(10,1),(13,1),(40,1),(43,1),(46,1),(47,1),(95,1),(97,1),(104,1)}
        26:{1,3,6}:{(11,1),(12,1),(48,1),(104,1)}
        27:{1,2,5}:{(12,1),(13,1),(48,1),(102,1)}
        28:{2,4,5}:{(13,1),(47,1),(50,1),(157,1)}
        29:{1,2,5,7}:{(14,1),(15,1),(52,1),(53,1),(56,1),(139,1),(185,1)}
        30:{1,3,6}:{(14,1),(19,1),(53,1),(64,1),(209,1)}
        31:{2,3,7}:{(15,1),(55,1),(169,1),(187,1)}
        32:{1,2,4,6}:{(15,1),(16,1),(53,1),(55,1),(56,1),(112,1),(116,1)}
        33:{1,3,5}:{(16,1),(56,1),(57,1),(117,1),(125,1),(204,1)}
        34:{1,4,6,7}:{(17,1),(19,1),(51,1),(60,1),(111,1),(132,1),(179,1)}
        35:{2,4,6,7}:{(17,1),(20,1),(22,1),(61,1),(70,1),(170,1),(178,1)}
        36:{3,5,7}:{(17,1),(21,1),(60,1),(61,1),(62,1)}
        37:{3,5,7}:{(18,1),(63,1),(64,1),(76,1),(117,1),(125,1),(131,1),(169,1)}
        38:{1,2,4,6}:{(18,1),(19,1),(20,1),(24,1),(53,1),(64,1),(65,1),(71,1),(112,1),(126,1),(182,1),(200,1),(206,1),(209,1)}
        39:{1,5,6}:{(19,1),(21,1),(60,1)}
        40:{2,5,6}:{(20,1),(21,1),(61,1)}
        41:{4,5,6}:{(21,1),(62,1),(126,1)}
        42:{1,2,6,7}:{(22,1),(24,1),(68,1),(69,1),(179,1),(203,1),(206,1)}
        43:{2,3,5,7}:{(22,1),(25,1),(61,1),(69,1),(70,1),(122,1),(124,1),(131,1)}
        44:{1,4,7}:{(23,1),(63,1),(71,1),(75,1),(175,1)}
        45:{1,3,6}:{(23,1),(24,1),(64,1),(71,1),(209,1)}
        46:{1,2,5,6}:{(24,1),(25,1),(27,1),(69,1),(72,1),(73,1),(128,1),(186,1),(206,1)}
        47:{2,4,6}:{(25,1),(28,1),(70,1),(74,1),(126,1)}
        48:{1,3,5}:{(26,1),(27,1),(75,1),(76,1)}
        49:{1,2,4,5}:{(27,1),(28,1),(73,1),(75,1),(76,1),(77,1),(133,1),(138,1),(139,1),(186,1)}
        50:{3,4,5}:{(28,1),(74,1),(76,1),(77,1)}
        51:{1,3,6,7}:{(30,1),(34,1),(78,1),(79,1),(90,1),(151,1),(161,1)}
        52:{2,3,5,7}:{(29,1),(31,1),(37,1),(80,1),(81,1),(84,1),(108,1),(144,1),(162,1),(199,1)}
        53:{1,2,6}:{(29,1),(30,1),(81,1)}
        54:{1,3,5,6}:{(30,1),(33,1),(39,1),(79,1),(82,1),(83,1),(95,1),(96,1),(146,1)}
        55:{2,3,6}:{(31,1),(32,1),(84,1),(146,1)}
        56:{1,2,5}:{(32,1),(33,1),(84,1),(144,1)}
        57:{1,4,5}:{(33,1),(83,1),(86,1),(157,1)}
        58:{3,5,6,7}:{(36,1),(87,1),(88,1),(89,1),(151,1),(152,1)}
        59:{1,2,4,6,7}:{(34,1),(35,1),(38,1),(42,1),(78,1),(90,1),(91,1),(98,1),(100,1),(140,1),(142,1),(154,1)}
        60:{1,5,7}:{(34,1),(36,1),(39,1)}
        61:{2,5,7}:{(35,1),(36,1),(40,1)}
        62:{4,5,7}:{(36,1),(41,1),(89,1),(154,1)}
        63:{3,4,7}:{(37,1),(44,1),(80,1),(94,1),(106,1),(148,1),(154,1)}
        64:{3,6}:{(37,1),(38,1)}
        65:{1,2,5,6}:{(38,1),(39,1),(40,1),(91,1),(95,1),(102,1),(144,1),(158,1),(188,1)}
        66:{1,4,5,6}:{(39,1),(41,1),(83,1),(92,1),(96,1)}
        67:{2,4,5,6}:{(40,1),(41,1),(47,1),(93,1),(97,1)}
        68:{1,3,6,7}:{(42,1),(45,1),(90,1),(98,1),(99,1),(191,1),(198,1)}
        69:{1,2,5,7}:{(42,1),(43,1),(46,1),(99,1),(100,1),(156,1),(199,1)}
        70:{2,4,7}:{(43,1),(47,1),(101,1),(154,1)}
        71:{1,4,6}:{(44,1),(45,1),(94,1),(102,1)}
        72:{1,3,5,6}:{(45,1),(46,1),(48,1),(95,1),(99,1),(102,1),(103,1),(104,1),(158,1),(163,1),(198,1)}
        73:{1,2,4,6}:{(46,1),(47,1),(49,1),(100,1),(103,1),(104,1),(105,1),(164,1),(165,1)}
        74:{3,4,6}:{(47,1),(50,1),(97,1),(101,1),(104,1),(105,1)}
        75:{1,4}:{(48,1),(106,1)}
        76:{3,5}:{(49,1),(104,1),(106,1)}
        77:{1,4,5}:{(50,1),(105,1),(107,1)}
        78:{1,2,6,7}:{(51,1),(53,1),(109,1),(110,1),(178,1),(185,1),(209,1)}
        79:{1,3,5,7}:{(51,1),(54,1),(60,1),(110,1),(111,1),(122,1),(123,1),(169,1)}
        80:{2,4,7}:{(52,1),(63,1),(112,1),(116,1),(138,1)}
        81:{2,3,6}:{(52,1),(53,1),(64,1),(112,1),(206,1)}
        82:{1,2,5,6}:{(53,1),(54,1),(56,1),(110,1),(113,1),(114,1),(127,1),(204,1),(209,1)}
        83:{1,4,6}:{(54,1),(57,1),(111,1),(115,1),(126,1)}
        84:{2,3,5}:{(55,1),(56,1),(116,1),(117,1)}
        85:{1,2,4,5}:{(56,1),(57,1),(114,1),(116,1),(117,1),(118,1),(171,1),(175,1),(177,1),(204,1)}
        86:{3,4,5}:{(57,1),(115,1),(117,1),(118,1)}
        87:{1,5,6,7}:{(58,1),(60,1),(119,1),(179,1)}
        88:{2,5,6,7}:{(58,1),(61,1),(120,1),(178,1)}
        89:{4,6,7}:{(58,1),(62,1)}
        90:{3,6,7}:{(59,1),(64,1),(122,1),(131,1),(169,1)}
        91:{1,2,5,7}:{(59,1),(60,1),(61,1),(65,1),(122,1),(129,1),(167,1)}
        92:{1,4,5,7}:{(60,1),(62,1),(66,1),(111,1),(119,1),(123,1)}
        93:{2,4,5,7}:{(61,1),(62,1),(67,1),(70,1),(120,1),(124,1)}
        94:{3,4,6}:{(63,1),(64,1),(71,1),(112,1),(125,1),(126,1)}
        95:{3,5,6}:{(64,1),(65,1),(122,1),(125,1),(126,1)}
        96:{3,5,6}:{(66,1),(115,1),(123,1),(127,1)}
        97:{3,5,6}:{(67,1),(74,1),(124,1),(128,1)}
        98:{1,4,6,7}:{(68,1),(71,1),(121,1),(129,1),(130,1),(182,1),(202,1),(209,1)}
        99:{1,3,5,7}:{(68,1),(69,1),(72,1),(122,1),(129,1),(130,1),(131,1),(183,1)}
       100:{1,2,4,7}:{(69,1),(70,1),(73,1),(130,1),(131,1),(132,1),(184,1),(185,1)}
       101:{3,4,7}:{(70,1),(74,1),(124,1),(131,1),(132,1)}
       102:{1,5}:{(71,1),(125,1)}
       103:{1,4,6}:{(72,1),(75,1),(126,1),(130,1),(133,1),(134,1)}
       104:{3,6}:{(73,1),(76,1),(131,1)}
       105:{1,4,6}:{(74,1),(77,1),(128,1),(132,1),(135,1)}
       106:{3,4}:{(75,1),(76,1),(138,1)}
       107:{1,3,5}:{(76,1),(77,1),(135,1),(137,1),(139,1)}
       108:{2,3,5}:{(76,1),(136,1),(138,1),(139,1),(186,1),(187,1)}
       109:{2,3,6,7}:{(78,1),(81,1),(90,1),(140,1),(141,1),(162,1),(207,1)}
       110:{1,2,5,7}:{(78,1),(79,1),(82,1),(141,1),(142,1),(155,1),(208,1)}
       111:{1,4,7}:{(79,1),(83,1),(143,1),(154,1)}
       112:{2,4,6}:{(80,1),(81,1),(94,1),(144,1)}
       113:{2,3,5,6}:{(81,1),(82,1),(84,1),(95,1),(141,1),(144,1),(145,1),(146,1),(188,1),(193,1),(207,1)}
       114:{1,2,4,6}:{(82,1),(83,1),(85,1),(142,1),(145,1),(146,1),(147,1),(194,1),(195,1)}
       115:{3,4,6}:{(83,1),(86,1),(96,1),(143,1),(146,1),(147,1)}
       116:{2,4}:{(84,1),(148,1)}
       117:{3,5}:{(85,1),(146,1),(148,1)}
       118:{2,4,5}:{(86,1),(147,1),(150,1)}
       119:{1,4,6,7}:{(87,1),(89,1),(92,1),(151,1)}
       120:{2,4,6,7}:{(88,1),(89,1),(93,1),(152,1)}
       121:{3,4,6,7}:{(90,1),(94,1),(98,1),(140,1),(153,1),(154,1),(160,1),(190,1),(197,1),(198,1),(207,1)}
       122:{3,5,7}:{(90,1),(91,1),(95,1),(154,1)}
       123:{3,5,7}:{(92,1),(96,1),(143,1),(151,1),(155,1)}
       124:{3,5,7}:{(93,1),(97,1),(101,1),(152,1),(156,1)}
       125:{3,5}:{(94,1),(102,1),(144,1),(157,1)}
       126:{4,6}:{(95,1),(154,1),(157,1)}
       127:{2,5,6}:{(96,1),(147,1),(155,1)}
       128:{1,5,6}:{(97,1),(105,1),(156,1)}
       129:{1,5,7}:{(98,1),(102,1),(153,1),(158,1)}
       130:{1,4,7}:{(99,1),(103,1),(154,1),(160,1)}
       131:{3,7}:{(100,1),(104,1)}
       132:{1,4,7}:{(101,1),(105,1),(156,1),(161,1)}
       133:{1,4,5}:{(102,1),(103,1),(157,1),(163,1)}
       134:{3,4,6}:{(103,1),(104,1),(106,1),(160,1),(163,1),(164,1),(198,1)}
       135:{1,3,6}:{(104,1),(105,1),(107,1),(161,1),(165,1)}
       136:{2,3,6}:{(104,1),(108,1),(162,1),(164,1),(165,1)}
       137:{1,3,4}:{(106,1),(107,1),(166,1)}
       138:{2,4}:{(106,1),(108,1)}
       139:{1,2,5}:{(107,1),(108,1),(165,1),(166,1)}
       140:{2,4,6,7}:{(109,1),(112,1),(121,1),(167,1),(168,1),(184,1),(200,1),(206,1)}
       141:{2,3,5,7}:{(109,1),(110,1),(113,1),(122,1),(167,1),(168,1),(169,1),(201,1)}
       142:{1,2,4,7}:{(110,1),(111,1),(114,1),(168,1),(169,1),(170,1),(202,1),(203,1)}
       143:{3,4,7}:{(111,1),(115,1),(123,1),(169,1),(170,1)}
       144:{2,5}:{(112,1),(125,1)}
       145:{2,4,6}:{(113,1),(116,1),(126,1),(168,1),(171,1),(172,1)}
       146:{3,6}:{(114,1),(117,1),(169,1)}
       147:{2,4,6}:{(115,1),(118,1),(127,1),(170,1),(174,1)}
       148:{3,4}:{(116,1),(117,1),(175,1)}
       149:{1,3,5}:{(117,1),(173,1),(175,1),(177,1),(204,1),(205,1)}
       150:{2,3,5}:{(117,1),(118,1),(174,1),(176,1),(177,1)}
       151:{3,6,7}:{(119,1),(123,1),(178,1)}
       152:{3,6,7}:{(120,1),(124,1),(179,1)}
       153:{3,5,7}:{(121,1),(125,1),(129,1),(167,1),(180,1),(181,1)}
       154:{4,7}:{(122,1),(126,1)}
       155:{2,5,7}:{(123,1),(127,1),(170,1),(178,1)}
       156:{1,5,7}:{(124,1),(128,1),(132,1),(179,1)}
       157:{4,5}:{(125,1),(126,1)}
       158:{1,5,6}:{(129,1),(180,1),(182,1),(209,1)}
       159:{1,4,5,7}:{(129,1),(130,1),(133,1),(181,1),(182,1),(183,1)}
       160:{3,4,7}:{(130,1),(131,1),(134,1),(183,1),(184,1)}
       161:{1,3,7}:{(131,1),(132,1),(135,1),(185,1)}
       162:{2,3,7}:{(131,1),(136,1),(184,1),(185,1)}
       163:{3,5}:{(133,1),(134,1),(186,1)}
       164:{2,4,6}:{(134,1),(136,1),(138,1),(184,1),(186,1),(206,1)}
       165:{1,2,6}:{(135,1),(136,1),(139,1),(185,1)}
       166:{1,2,4}:{(137,1),(138,1),(139,1),(187,1)}
       167:{2,5,7}:{(140,1),(144,1),(153,1),(188,1)}
       168:{2,4,7}:{(141,1),(145,1),(154,1),(190,1)}
       169:{3,7}:{(142,1),(146,1)}
       170:{2,4,7}:{(143,1),(147,1),(155,1),(192,1)}
       171:{2,4,5}:{(144,1),(145,1),(157,1),(193,1)}
       172:{3,4,6}:{(145,1),(146,1),(148,1),(190,1),(193,1),(194,1),(207,1)}
       173:{1,3,6}:{(146,1),(149,1),(191,1),(194,1),(195,1)}
       174:{2,3,6}:{(146,1),(147,1),(150,1),(192,1),(195,1)}
       175:{1,4}:{(148,1),(149,1)}
       176:{2,3,4}:{(148,1),(150,1),(196,1)}
       177:{1,2,5}:{(149,1),(150,1),(195,1),(196,1)}
       178:{2,6,7}:{(151,1),(155,1)}
       179:{1,6,7}:{(152,1),(156,1)}
       180:{3,5,6}:{(153,1),(158,1),(188,1),(197,1),(198,1),(207,1)}
       181:{4,5,7}:{(153,1),(154,1),(157,1),(197,1)}
       182:{1,4,6}:{(158,1),(159,1),(197,1),(198,1)}
       183:{3,5,7}:{(159,1),(160,1),(163,1),(198,1),(199,1)}
       184:{2,4,7}:{(160,1),(162,1),(164,1),(199,1)}
       185:{1,2,7}:{(161,1),(162,1),(165,1)}
       186:{2,5}:{(163,1),(164,1)}
       187:{2,3}:{(166,1)}
       188:{2,5,6}:{(167,1),(180,1),(200,1),(206,1)}
       189:{2,4,5,7}:{(167,1),(168,1),(171,1),(181,1),(200,1),(201,1)}
       190:{3,4,7}:{(168,1),(169,1),(172,1),(201,1),(202,1)}
       191:{1,3,7}:{(169,1),(173,1),(202,1),(203,1)}
       192:{2,3,7}:{(169,1),(170,1),(174,1),(203,1)}
       193:{3,5}:{(171,1),(172,1),(204,1)}
       194:{1,4,6}:{(172,1),(173,1),(175,1),(202,1),(204,1),(209,1)}
       195:{1,2,6}:{(173,1),(174,1),(177,1),(203,1)}
       196:{1,2,4}:{(175,1),(176,1),(177,1),(205,1)}
       197:{4,6}:{(180,1),(181,1)}
       198:{3,6}:{(182,1),(183,1),(206,1)}
       199:{2,5,7}:{(183,1),(184,1),(186,1),(206,1)}
       200:{2,4,6}:{(188,1),(189,1),(197,1),(207,1)}
       201:{3,5,7}:{(189,1),(190,1),(193,1),(207,1),(208,1)}
       202:{1,4,7}:{(190,1),(191,1),(194,1),(208,1)}
       203:{1,2,7}:{(191,1),(192,1),(195,1)}
       204:{1,5}:{(193,1),(194,1)}
       205:{1,3}:{(196,1)}
       206:{2,6}:{(198,1),(199,1)}
       207:{3,6}:{(200,1),(201,1),(209,1)}
       208:{1,5,7}:{(201,1),(202,1),(204,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

 973 :  0:{2,3,4}:{(2,1),(3,1),(47,1)}
        1:{3,4,5}:{(6,1),(7,1),(8,1),(34,1),(73,1)}
        2:{2,3,5}:{(0,1),(8,1),(9,1),(10,1),(34,1)}
        3:{1,2,4}:{(0,1),(10,1),(11,1),(37,1)}
        4:{1,3,4}:{(12,1),(13,1),(47,1)}
        5:{4,5,6}:{(15,1),(16,1),(65,1),(83,1)}
        6:{3,4,6}:{(1,1),(16,1),(17,1),(18,1),(19,1),(46,1),(65,1)}
        7:{1,4,5}:{(1,1),(12,1),(18,1)}
        8:{2,4,5}:{(1,1),(2,1),(19,1)}
        9:{2,3,6}:{(2,1),(19,1),(21,1),(22,1),(46,1)}
       10:{1,2,5}:{(2,1),(3,1),(22,1),(23,1)}
       11:{1,3}:{(3,1)}
       12:{1,3,5}:{(4,1),(7,1),(24,1),(25,1),(34,1)}
       13:{1,2,4}:{(4,1),(25,1),(26,1),(52,1)}
       14:{5,6,7}:{(27,1),(81,1)}
       15:{4,5,7}:{(5,1),(27,1),(28,1),(72,1),(81,1)}
       16:{3,5,6}:{(5,1),(6,1),(28,1),(29,1),(30,1)}
       17:{3,4,7}:{(6,1),(28,1),(31,1),(32,1),(57,1),(72,1)}
       18:{1,4,6}:{(6,1),(7,1),(24,1),(29,1),(31,1)}
       19:{2,4,6}:{(6,1),(8,1),(9,1),(30,1),(32,1)}
       20:{1,2,4,5}:{(7,1),(8,1),(10,1),(25,1),(33,1),(34,1),(37,1),(52,1),(60,1),(70,1),(73,1)}
       21:{2,3,7}:{(9,1),(32,1),(35,1),(57,1)}
       22:{1,2,6}:{(9,1),(10,1),(35,1),(36,1)}
       23:{1,3,5}:{(10,1),(11,1),(34,1),(36,1),(37,1),(60,1)}
       24:{1,3,6}:{(12,1),(18,1),(38,1),(39,1),(46,1)}
       25:{1,2,5}:{(12,1),(13,1),(39,1),(40,1)}
       26:{2,3}:{(13,1)}
       27:{4,6,7}:{(14,1),(15,1),(41,1)}
       28:{3,5,7}:{(15,1),(16,1),(17,1),(41,1),(42,1),(43,1)}
       29:{1,5,6}:{(16,1),(18,1),(42,1)}
       30:{2,5,6}:{(16,1),(19,1),(43,1)}
       31:{1,4,7}:{(17,1),(18,1),(38,1),(42,1)}
       32:{2,4,7}:{(17,1),(19,1),(21,1),(43,1)}
       33:{1,2,4,6}:{(18,1),(19,1),(20,1),(22,1),(39,1),(44,1),(45,1),(46,1),(49,1),(62,1),(65,1)}
       34:{3,5}:{(20,1),(46,1),(47,1)}
       35:{1,2,7}:{(21,1),(22,1),(48,1)}
       36:{1,3,6}:{(22,1),(23,1),(46,1),(48,1),(49,1)}
       37:{1,4}:{(23,1),(47,1)}
       38:{1,3,7}:{(24,1),(31,1),(50,1),(57,1)}
       39:{1,2,6}:{(24,1),(25,1),(50,1),(51,1)}
       40:{2,3,5}:{(25,1),(26,1),(34,1),(51,1),(52,1),(70,1)}
       41:{3,6,7}:{(27,1),(28,1),(53,1),(54,1)}
       42:{1,5,7}:{(28,1),(29,1),(31,1),(53,1)}
       43:{2,5,7}:{(28,1),(30,1),(32,1),(54,1)}
       44:{1,2,5,6}:{(29,1),(30,1),(33,1),(55,1),(56,1),(60,1),(70,1),(75,1),(80,1)}
       45:{1,2,4,7}:{(31,1),(32,1),(33,1),(35,1),(50,1),(55,1),(57,1),(59,1),(69,1),(72,1)}
       46:{3,6}:{(33,1),(34,1),(57,1)}
       47:{3,4}:{(34,1),(37,1),(52,1)}
       48:{1,3,7}:{(35,1),(36,1),(57,1),(59,1)}
       49:{1,4,6}:{(36,1),(37,1),(58,1),(59,1),(60,1),(75,1)}
       50:{1,2,7}:{(38,1),(39,1),(61,1)}
       51:{2,3,6}:{(39,1),(40,1),(46,1),(61,1),(62,1)}
       52:{2,4}:{(40,1),(47,1)}
       53:{1,6,7}:{(41,1),(42,1)}
       54:{2,6,7}:{(41,1),(43,1)}
       55:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(63,1),(64,1),(68,1),(76,1)}
       56:{3,5,6}:{(44,1),(46,1),(64,1),(65,1),(67,1),(79,1),(83,1)}
       57:{3,7}:{(45,1),(46,1)}
       58:{3,4,6}:{(46,1),(47,1),(49,1),(62,1),(65,1),(66,1),(67,1),(79,1)}
       59:{1,4,7}:{(48,1),(49,1),(66,1),(68,1)}
       60:{1,5}:{(49,1),(67,1)}
       61:{2,3,7}:{(50,1),(51,1),(57,1),(69,1)}
       62:{2,4,6}:{(51,1),(52,1),(58,1),(69,1),(70,1),(80,1)}
       63:{1,2,6,7}:{(53,1),(54,1),(55,1),(71,1),(75,1),(80,1)}
       64:{3,5,7}:{(55,1),(56,1),(57,1),(71,1),(72,1),(81,1)}
       65:{4,6}:{(56,1),(72,1),(73,1)}
       66:{3,4,7}:{(57,1),(58,1),(59,1),(69,1),(72,1),(74,1)}
       67:{3,5}:{(58,1),(60,1),(70,1),(73,1)}
       68:{1,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{2,4,7}:{(61,1),(62,1),(66,1),(76,1)}
       70:{2,5}:{(62,1),(67,1)}
       71:{3,6,7}:{(63,1),(64,1),(77,1),(79,1)}
       72:{4,7}:{(64,1),(65,1)}
       73:{4,5}:{(65,1),(67,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(78,1),(79,1)}
       75:{1,6}:{(68,1),(79,1)}
       76:{2,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       78:{4,5,7}:{(72,1),(73,1),(74,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(82,1)}
       80:{2,6}:{(76,1),(79,1)}
       81:{5,7}:{(77,1),(83,1)}
       82:{4,6}:{(78,1),(79,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

 974 :   0:{1,2,3}:{(4,1)}
         1:{2,3,4}:{(4,1),(5,1),(23,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(8,1),(10,1),(15,1),(32,1),(35,1),(41,1)}
         3:{3,4,5}:{(11,1),(12,1),(13,1),(41,1),(67,1)}
         4:{1,2,4}:{(0,1),(1,1),(14,1),(15,1)}
         5:{2,3,5}:{(1,1),(11,1),(15,1),(16,1),(41,1)}
         6:{1,2,3}:{(17,1)}
         7:{1,3,4}:{(17,1),(18,1),(23,1)}
         8:{1,2,3,6}:{(2,1),(19,1),(20,1),(29,1),(49,1),(60,1)}
         9:{4,5,6}:{(21,1),(22,1),(80,1),(99,1)}
        10:{1,2,4}:{(2,1),(23,1)}
        11:{2,4,5}:{(3,1),(5,1),(25,1)}
        12:{1,4,5}:{(3,1),(18,1),(26,1)}
        13:{3,4,6}:{(3,1),(21,1),(25,1),(26,1),(27,1),(60,1),(80,1)}
        14:{1,3,4}:{(4,1),(23,1),(28,1)}
        15:{1,2,5}:{(4,1),(5,1),(28,1),(29,1)}
        16:{2,3,6}:{(5,1),(25,1),(29,1),(30,1),(60,1)}
        17:{1,2,4}:{(6,1),(7,1),(31,1),(32,1)}
        18:{1,3,5}:{(7,1),(12,1),(32,1),(33,1),(41,1)}
        19:{1,2,4,6}:{(8,1),(10,1),(34,1),(35,1),(36,1),(71,1)}
        20:{1,2,3,7}:{(8,1),(36,1),(47,1),(66,1),(75,1)}
        21:{3,5,6}:{(9,1),(13,1),(37,1),(38,1),(39,1)}
        22:{4,5,7}:{(9,1),(39,1),(40,1),(91,1),(103,1)}
        23:{3,4}:{(10,1),(41,1)}
        24:{1,2,4,5}:{(10,1),(11,1),(12,1),(15,1),(32,1),(35,1),(41,1),(42,1),(45,1),(64,1),(67,1)}
        25:{2,4,6}:{(11,1),(13,1),(16,1),(37,1),(43,1)}
        26:{1,4,6}:{(12,1),(13,1),(33,1),(38,1),(44,1)}
        27:{3,4,7}:{(13,1),(39,1),(43,1),(44,1),(75,1),(91,1)}
        28:{1,3,5}:{(14,1),(15,1),(41,1),(45,1),(46,1)}
        29:{1,2,6}:{(15,1),(16,1),(46,1),(47,1)}
        30:{2,3,7}:{(16,1),(43,1),(47,1),(75,1)}
        31:{2,3,4}:{(17,1),(23,1),(48,1)}
        32:{1,2,5}:{(17,1),(18,1),(48,1),(49,1)}
        33:{1,3,6}:{(18,1),(26,1),(49,1),(50,1),(60,1)}
        34:{3,4,6}:{(19,1),(23,1),(51,1),(52,1),(60,1),(80,1),(83,1)}
        35:{1,2,5}:{(19,1),(51,1)}
        36:{1,2,4,7}:{(19,1),(20,1),(52,1),(54,1)}
        37:{2,5,6}:{(21,1),(25,1),(55,1)}
        38:{1,5,6}:{(21,1),(26,1),(56,1)}
        39:{3,5,7}:{(21,1),(22,1),(27,1),(55,1),(56,1),(57,1)}
        40:{4,6,7}:{(22,1),(57,1),(58,1)}
        41:{3,5}:{(23,1),(24,1),(60,1)}
        42:{1,2,4,6}:{(24,1),(25,1),(26,1),(29,1),(49,1),(53,1),(60,1),(61,1),(62,1),(78,1),(80,1)}
        43:{2,4,7}:{(25,1),(27,1),(30,1),(55,1)}
        44:{1,4,7}:{(26,1),(27,1),(50,1),(56,1)}
        45:{1,4,5}:{(28,1),(59,1),(62,1)}
        46:{1,3,6}:{(28,1),(29,1),(60,1),(62,1),(63,1)}
        47:{1,2,7}:{(29,1),(30,1),(63,1)}
        48:{2,3,5}:{(31,1),(32,1),(41,1),(64,1),(65,1)}
        49:{1,2,6}:{(32,1),(33,1),(65,1),(66,1)}
        50:{1,3,7}:{(33,1),(44,1),(66,1),(75,1)}
        51:{3,5}:{(34,1),(35,1),(67,1)}
        52:{3,4,7}:{(34,1),(36,1),(69,1),(75,1),(91,1)}
        53:{1,2,5,6}:{(35,1),(37,1),(38,1),(42,1),(68,1),(70,1),(71,1),(76,1),(88,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(69,1),(71,1)}
        55:{2,5,7}:{(37,1),(39,1),(43,1),(72,1)}
        56:{1,5,7}:{(38,1),(39,1),(44,1),(73,1)}
        57:{3,6,7}:{(39,1),(40,1),(72,1),(73,1)}
        58:{5,6,7}:{(40,1),(103,1)}
        59:{3,4,5}:{(41,1),(45,1),(64,1),(67,1),(74,1)}
        60:{3,6}:{(41,1),(42,1),(75,1)}
        61:{1,2,4,7}:{(42,1),(43,1),(44,1),(47,1),(66,1),(70,1),(75,1),(77,1),(89,1),(91,1)}
        62:{1,4,6}:{(45,1),(46,1),(74,1),(76,1),(77,1)}
        63:{1,3,7}:{(46,1),(47,1),(75,1),(77,1)}
        64:{2,4,5}:{(48,1),(59,1),(78,1)}
        65:{2,3,6}:{(48,1),(49,1),(60,1),(78,1),(79,1)}
        66:{1,2,7}:{(49,1),(50,1),(79,1)}
        67:{4,5}:{(51,1),(80,1)}
        68:{3,5,6}:{(51,1),(53,1),(60,1),(80,1),(82,1),(83,1),(99,1)}
        69:{3,5,7}:{(51,1),(52,1),(54,1),(81,1),(83,1)}
        70:{1,2,5,7}:{(53,1),(55,1),(56,1),(61,1),(82,1),(84,1),(87,1),(96,1)}
        71:{1,2,6}:{(54,1),(83,1)}
        72:{2,6,7}:{(55,1),(57,1)}
        73:{1,6,7}:{(56,1),(57,1)}
        74:{3,4,6}:{(59,1),(60,1),(62,1),(78,1),(80,1),(85,1),(86,1)}
        75:{3,7}:{(60,1),(61,1)}
        76:{1,5,6}:{(62,1),(85,1),(87,1)}
        77:{1,4,7}:{(62,1),(63,1),(86,1),(87,1)}
        78:{2,4,6}:{(64,1),(65,1),(74,1),(88,1),(89,1)}
        79:{2,3,7}:{(65,1),(66,1),(75,1),(89,1)}
        80:{4,6}:{(67,1),(68,1),(91,1)}
        81:{4,5,7}:{(67,1),(69,1),(91,1),(92,1),(103,1)}
        82:{3,5,7}:{(68,1),(70,1),(75,1),(91,1),(93,1),(103,1)}
        83:{3,6}:{(69,1),(71,1),(92,1)}
        84:{1,2,6,7}:{(70,1),(71,1),(72,1),(73,1),(93,1),(95,1),(101,1)}
        85:{3,5,6}:{(74,1),(76,1),(88,1),(90,1),(94,1)}
        86:{3,4,7}:{(74,1),(75,1),(77,1),(89,1),(91,1),(94,1)}
        87:{1,5,7}:{(76,1),(77,1),(94,1),(95,1)}
        88:{2,5,6}:{(78,1),(85,1),(96,1)}
        89:{2,4,7}:{(78,1),(79,1),(86,1),(96,1)}
        90:{4,5,6}:{(80,1),(85,1),(97,1),(99,1)}
        91:{4,7}:{(80,1),(82,1)}
        92:{4,6}:{(81,1),(83,1),(99,1)}
        93:{3,6,7}:{(82,1),(83,1),(84,1),(98,1)}
        94:{3,5,7}:{(85,1),(86,1),(87,1),(96,1),(97,1),(100,1)}
        95:{1,6,7}:{(87,1),(100,1)}
        96:{2,5,7}:{(88,1),(89,1),(94,1),(101,1)}
        97:{4,5,7}:{(90,1),(91,1),(94,1),(102,1),(103,1)}
        98:{4,6,7}:{(91,1),(92,1),(93,1),(103,1)}
        99:{5,6}:{(92,1),(103,1)}
       100:{3,6,7}:{(94,1),(95,1),(101,1),(102,1)}
       101:{2,6,7}:{(96,1),(100,1)}
       102:{4,6,7}:{(97,1),(100,1),(104,1)}
       103:{5,7}:{(98,1),(99,1)}
       104:{5,6,7}:{(102,1),(103,1)}

 975 :   0:{1,3,4,5,7}:{(1,1),(2,1),(12,1),(25,1),(64,1),(75,1),(77,1),(117,1),(123,1),(134,1)}
         1:{1,2,4,5,7}:{(0,1),(3,1),(4,1),(14,1),(20,1),(45,1),(51,1),(53,1)}
         2:{1,3,4,6}:{(0,1),(4,1),(6,1),(54,1),(144,1),(152,1),(162,1)}
         3:{2,3,5,7}:{(1,1),(8,1),(9,1),(32,1),(123,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(34,1)}
         5:{1,3,4,6,7}:{(2,1),(10,1),(12,1),(38,1),(77,1),(80,1),(137,1)}
         6:{1,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(37,1),(64,1),(185,1)}
         7:{1,2,3,5,7}:{(3,1),(14,1),(15,1),(41,1),(45,1)}
         8:{2,3,4,7}:{(3,1),(14,1),(17,1),(53,1),(95,1)}
         9:{2,3,6}:{(3,1),(4,1),(152,1)}
        10:{1,2,4,6,7}:{(4,1),(5,1),(18,1),(20,1),(53,1)}
        11:{1,2,5,6}:{(4,1),(6,1),(19,1),(20,1),(45,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(56,1),(164,1)}
        13:{1,4,5,6}:{(6,1),(23,1),(24,1),(89,1),(144,1)}
        14:{1,2,4,7}:{(7,1),(8,1),(25,1),(27,1)}
        15:{1,2,3,6}:{(7,1),(9,1),(27,1),(62,1)}
        16:{2,3,4,5,7}:{(8,1),(26,1),(30,1),(32,1),(71,1),(74,1),(118,1),(123,1),(167,1),(172,1)}
        17:{2,3,4,6}:{(8,1),(9,1),(27,1),(32,1),(34,1),(70,1)}
        18:{2,3,6,7}:{(9,1),(10,1),(33,1),(80,1)}
        19:{2,3,5,6}:{(9,1),(11,1),(32,1),(33,1),(34,1),(37,1)}
        20:{1,2,5,7}:{(10,1),(11,1),(12,1),(33,1)}
        21:{1,2,4,5,6}:{(11,1),(13,1),(34,1),(36,1),(37,1),(40,1),(68,1),(78,1),(83,1),(122,1),(132,1),(185,1)}
        22:{1,3,5,6,7}:{(12,1),(35,1),(38,1),(80,1),(84,1),(116,1)}
        23:{1,4,5,7}:{(12,1),(13,1),(38,1),(39,1)}
        24:{3,4,5,6}:{(13,1),(37,1),(39,1),(40,1),(118,1),(171,1)}
        25:{1,3,4,7}:{(14,1),(41,1),(42,1),(95,1),(142,1)}
        26:{1,2,4,5,7}:{(14,1),(16,1),(41,1),(43,1),(45,1),(89,1),(90,1),(142,1)}
        27:{1,2,4,6}:{(14,1),(15,1),(17,1),(42,1),(45,1)}
        28:{1,2,3,6,7}:{(15,1),(18,1),(44,1),(46,1),(86,1),(110,1),(152,1),(196,1),(198,1)}
        29:{1,2,3,5,6}:{(15,1),(19,1),(45,1),(46,1),(47,1),(57,1),(87,1),(92,1),(94,1),(151,1),(152,1),(155,1),(157,1),(198,1)}
        30:{2,3,4,6}:{(16,1),(43,1),(49,1),(101,1),(143,1),(152,1),(193,1)}
        31:{2,3,4,6,7}:{(17,1),(18,1),(44,1),(50,1),(53,1),(95,1),(101,1),(106,1),(152,1)}
        32:{2,3,5}:{(17,1),(45,1),(51,1),(94,1)}
        33:{2,3,5,7}:{(18,1),(19,1),(20,1),(53,1),(56,1)}
        34:{2,4,6}:{(19,1),(51,1),(53,1),(54,1)}
        35:{1,2,5,6,7}:{(20,1),(22,1),(52,1),(55,1),(92,1),(113,1),(164,1)}
        36:{1,2,4,5,7}:{(20,1),(21,1),(23,1),(53,1),(55,1),(56,1),(61,1),(105,1),(107,1),(112,1),(164,1)}
        37:{3,5,6}:{(21,1),(54,1),(56,1),(94,1),(152,1)}
        38:{1,4,6,7}:{(22,1),(23,1),(60,1),(144,1)}
        39:{3,4,5,7}:{(23,1),(24,1),(56,1),(60,1),(61,1)}
        40:{2,4,5,6}:{(24,1),(58,1),(61,1),(147,1),(193,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(62,1),(64,1),(123,1)}
        42:{1,3,4,6}:{(25,1),(27,1),(62,1),(64,1),(70,1),(115,1)}
        43:{1,2,4,6}:{(26,1),(30,1),(62,1),(66,1),(115,1)}
        44:{1,2,4,6,7}:{(27,1),(28,1),(31,1),(63,1),(67,1),(69,1),(122,1),(137,1),(202,1)}
        45:{1,2,5}:{(27,1),(32,1),(64,1)}
        46:{1,2,3,5,7}:{(28,1),(29,1),(33,1),(67,1),(69,1),(81,1),(114,1),(123,1),(176,1),(180,1),(182,1)}
        47:{1,2,4,6}:{(29,1),(34,1),(68,1),(69,1),(70,1),(78,1),(115,1),(169,1)}
        48:{2,3,4,6,7}:{(30,1),(65,1),(71,1),(129,1),(167,1),(174,1),(202,1)}
        49:{2,3,5,6}:{(30,1),(32,1),(66,1),(71,1),(72,1),(121,1),(205,1)}
        50:{2,3,5,7}:{(31,1),(32,1),(67,1),(73,1),(74,1),(123,1),(136,1)}
        51:{2,4,5}:{(32,1),(34,1),(75,1)}
        52:{2,3,5,6,7}:{(33,1),(35,1),(73,1),(76,1),(80,1),(136,1)}
        53:{2,4,7}:{(33,1),(34,1),(77,1)}
        54:{3,4,6}:{(34,1),(37,1),(75,1),(77,1),(78,1)}
        55:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(76,1),(80,1),(85,1),(122,1),(137,1),(140,1)}
        56:{3,5,7}:{(36,1),(37,1),(77,1),(80,1)}
        57:{1,3,5,6}:{(37,1),(78,1),(81,1),(83,1),(124,1),(139,1),(178,1),(185,1)}
        58:{2,3,5,6}:{(37,1),(40,1),(79,1),(82,1),(83,1),(125,1),(179,1)}
        59:{1,4,5,6,7}:{(38,1),(84,1),(170,1)}
        60:{3,4,6,7}:{(38,1),(39,1),(80,1),(84,1),(85,1),(171,1)}
        61:{2,4,5,7}:{(39,1),(40,1),(82,1),(85,1)}
        62:{1,3,6}:{(41,1),(43,1),(152,1)}
        63:{1,3,4,6,7}:{(42,1),(44,1),(86,1),(88,1),(95,1),(142,1),(144,1),(152,1),(188,1)}
        64:{1,3,5}:{(42,1),(45,1),(89,1),(94,1)}
        65:{1,2,4,6,7}:{(43,1),(48,1),(86,1),(90,1),(142,1)}
        66:{1,2,5,6}:{(43,1),(45,1),(49,1),(87,1),(90,1)}
        67:{1,2,5,7}:{(44,1),(45,1),(50,1),(88,1),(92,1),(164,1),(208,1)}
        68:{1,2,4,5}:{(45,1),(47,1),(51,1),(89,1),(94,1),(103,1),(147,1),(155,1)}
        69:{1,2,4,7}:{(46,1),(47,1),(53,1),(95,1),(107,1),(142,1),(190,1)}
        70:{3,4,6}:{(47,1),(94,1),(95,1),(152,1)}
        71:{2,3,5,7}:{(48,1),(49,1),(90,1),(99,1),(149,1),(208,1)}
        72:{2,4,5,6}:{(49,1),(51,1),(99,1),(100,1),(101,1)}
        73:{2,3,5,6}:{(50,1),(92,1),(101,1),(152,1),(161,1)}
        74:{2,4,5,7}:{(50,1),(51,1),(53,1),(101,1),(102,1)}
        75:{3,4,5}:{(51,1),(54,1),(94,1),(103,1)}
        76:{2,4,6,7}:{(52,1),(53,1),(101,1),(105,1),(106,1)}
        77:{3,4,7}:{(53,1),(54,1),(56,1),(107,1)}
        78:{1,4,6}:{(54,1),(57,1),(103,1),(107,1)}
        79:{2,3,4,6}:{(54,1),(58,1),(104,1),(108,1),(109,1)}
        80:{3,6,7}:{(55,1),(56,1),(152,1)}
        81:{1,3,5,7}:{(56,1),(57,1),(107,1),(110,1),(112,1),(164,1),(165,1)}
        82:{2,3,5,7}:{(56,1),(58,1),(61,1),(108,1),(111,1),(112,1)}
        83:{1,2,5,6}:{(57,1),(58,1),(109,1),(112,1),(155,1),(198,1)}
        84:{3,5,6,7}:{(59,1),(60,1),(113,1),(192,1)}
        85:{2,4,6,7}:{(60,1),(61,1),(111,1),(113,1),(193,1)}
        86:{1,3,6,7}:{(62,1),(65,1),(114,1),(174,1)}
        87:{1,3,5,6}:{(62,1),(64,1),(66,1),(114,1),(115,1),(121,1)}
        88:{1,3,5,7}:{(63,1),(64,1),(67,1),(116,1),(117,1),(123,1),(201,1)}
        89:{1,4,5}:{(64,1),(115,1),(118,1)}
        90:{1,2,5,7}:{(65,1),(66,1),(71,1),(114,1)}
        91:{1,2,4,5,6}:{(66,1),(68,1),(72,1),(115,1),(120,1),(121,1),(122,1),(131,1),(169,1),(170,1),(177,1),(205,1)}
        92:{1,2,5,6}:{(67,1),(73,1),(116,1),(122,1),(185,1),(205,1)}
        93:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(74,1),(117,1),(122,1),(123,1),(134,1),(172,1),(180,1)}
        94:{3,5}:{(68,1),(70,1)}
        95:{3,4,7}:{(69,1),(70,1),(123,1)}
        96:{1,3,4,6}:{(70,1),(78,1),(124,1),(126,1),(128,1),(139,1),(178,1),(186,1)}
        97:{2,3,4,6}:{(70,1),(125,1),(127,1),(128,1),(169,1),(179,1),(204,1),(206,1)}
        98:{2,3,5,6,7}:{(71,1),(73,1),(119,1),(129,1),(174,1),(183,1)}
        99:{2,4,5,7}:{(71,1),(72,1),(129,1),(130,1)}
       100:{3,4,5,6}:{(72,1),(75,1),(121,1),(130,1),(131,1),(133,1)}
       101:{2,4,6}:{(73,1),(74,1),(133,1)}
       102:{3,4,5,7}:{(74,1),(75,1),(77,1),(123,1),(133,1),(134,1),(136,1)}
       103:{1,4,5}:{(75,1),(78,1),(124,1)}
       104:{2,3,4,5}:{(75,1),(79,1),(125,1),(135,1),(206,1)}
       105:{2,4,5,7}:{(76,1),(132,1),(136,1)}
       106:{3,4,6,7}:{(76,1),(77,1),(80,1),(133,1),(136,1),(137,1)}
       107:{1,4,7}:{(77,1),(78,1),(81,1)}
       108:{2,3,4,7}:{(77,1),(79,1),(82,1),(138,1)}
       109:{1,2,4,6}:{(78,1),(79,1),(83,1),(135,1),(138,1),(139,1)}
       110:{1,3,6,7}:{(80,1),(81,1),(137,1),(140,1),(178,1)}
       111:{2,3,6,7}:{(80,1),(82,1),(85,1),(140,1),(179,1)}
       112:{1,2,5,7}:{(81,1),(82,1),(83,1),(138,1),(140,1)}
       113:{2,5,6,7}:{(84,1),(85,1),(205,1)}
       114:{1,3,5,7}:{(86,1),(87,1),(90,1),(142,1),(149,1)}
       115:{1,4,6}:{(87,1),(89,1),(142,1),(143,1)}
       116:{1,3,5,6}:{(88,1),(92,1),(144,1),(152,1),(192,1)}
       117:{1,4,5,7}:{(88,1),(89,1),(142,1),(144,1),(145,1)}
       118:{3,4,5}:{(89,1),(94,1),(143,1),(147,1)}
       119:{1,2,5,6,7}:{(90,1),(92,1),(98,1),(141,1),(148,1),(200,1),(208,1)}
       120:{1,2,4,5,7}:{(90,1),(91,1),(99,1),(142,1),(148,1),(149,1),(160,1),(187,1),(190,1),(197,1),(208,1)}
       121:{3,5,6}:{(91,1),(94,1),(143,1),(149,1),(152,1)}
       122:{1,2,4,6}:{(92,1),(93,1),(101,1),(144,1),(152,1),(162,1),(193,1),(198,1)}
       123:{3,5,7}:{(93,1),(94,1),(95,1),(152,1)}
       124:{1,3,5}:{(94,1),(96,1),(103,1),(155,1)}
       125:{2,3,5}:{(94,1),(97,1),(147,1),(155,1)}
       126:{1,3,4,7}:{(95,1),(96,1),(107,1),(153,1),(156,1),(165,1)}
       127:{2,3,4,7}:{(95,1),(97,1),(154,1),(156,1),(190,1),(209,1)}
       128:{1,2,4,6}:{(96,1),(97,1),(155,1),(156,1),(157,1),(198,1),(199,1)}
       129:{2,4,6,7}:{(98,1),(99,1),(101,1),(159,1)}
       130:{3,4,5,7}:{(99,1),(100,1),(149,1),(159,1),(160,1)}
       131:{1,4,5,6}:{(100,1),(103,1),(150,1),(160,1),(162,1)}
       132:{2,4,5,6}:{(101,1),(105,1),(161,1)}
       133:{3,4,6}:{(101,1),(102,1),(152,1),(161,1),(162,1)}
       134:{1,4,5,7}:{(102,1),(103,1),(107,1),(153,1),(162,1),(164,1)}
       135:{1,2,4,5}:{(103,1),(104,1),(109,1),(155,1),(163,1),(199,1)}
       136:{3,5,7}:{(105,1),(106,1),(161,1),(164,1)}
       137:{1,4,6,7}:{(106,1),(107,1),(110,1),(162,1),(164,1)}
       138:{1,2,4,7}:{(107,1),(108,1),(109,1),(112,1),(165,1)}
       139:{1,3,6}:{(109,1),(163,1),(165,1)}
       140:{1,2,6,7}:{(110,1),(111,1),(112,1),(198,1)}
       141:{1,3,5,6,7}:{(114,1),(116,1),(119,1),(166,1),(174,1),(201,1)}
       142:{1,4,7}:{(114,1),(115,1),(167,1)}
       143:{3,4,6}:{(115,1),(118,1),(121,1),(167,1),(169,1)}
       144:{1,4,6}:{(116,1),(117,1),(171,1)}
       145:{3,4,5,7}:{(117,1),(118,1),(123,1),(167,1),(171,1),(172,1),(201,1)}
       146:{1,3,4,5}:{(118,1),(124,1),(168,1),(173,1),(186,1)}
       147:{2,4,5}:{(118,1),(125,1),(169,1)}
       148:{1,2,4,6,7}:{(119,1),(120,1),(122,1),(129,1),(166,1),(174,1),(184,1),(202,1),(207,1)}
       149:{3,5,7}:{(120,1),(121,1),(167,1),(174,1)}
       150:{1,3,5,6}:{(121,1),(124,1),(131,1),(168,1),(175,1),(177,1),(178,1)}
       151:{2,3,5,6}:{(121,1),(125,1),(169,1),(176,1),(177,1),(179,1),(204,1),(205,1)}
       152:{3,6}:{(122,1),(123,1)}
       153:{1,3,5,7}:{(123,1),(124,1),(126,1),(134,1),(178,1),(180,1)}
       154:{2,3,5,7}:{(123,1),(125,1),(127,1),(172,1),(179,1),(180,1)}
       155:{1,2,5}:{(124,1),(125,1),(128,1)}
       156:{1,2,4,7}:{(126,1),(127,1),(128,1),(180,1),(182,1)}
       157:{1,2,3,6}:{(128,1),(139,1),(181,1),(182,1),(204,1)}
       158:{2,4,5,6,7}:{(129,1),(132,1),(183,1)}
       159:{3,4,6,7}:{(129,1),(130,1),(133,1),(174,1),(183,1),(184,1)}
       160:{1,4,5,7}:{(130,1),(131,1),(175,1),(184,1)}
       161:{3,5,6}:{(132,1),(133,1),(136,1),(185,1)}
       162:{1,4,6}:{(133,1),(134,1),(178,1),(185,1)}
       163:{1,3,5}:{(135,1),(139,1),(186,1)}
       164:{1,5,7}:{(136,1),(137,1),(185,1)}
       165:{1,3,7}:{(138,1),(139,1)}
       166:{1,4,6,7}:{(141,1),(142,1),(144,1),(187,1),(188,1)}
       167:{3,4,7}:{(142,1),(143,1),(149,1),(190,1)}
       168:{1,3,4,6}:{(143,1),(146,1),(150,1),(189,1),(191,1)}
       169:{2,4,6}:{(143,1),(147,1),(151,1),(190,1)}
       170:{1,4,5,6}:{(144,1),(187,1),(192,1)}
       171:{3,4,6}:{(144,1),(145,1),(152,1),(192,1),(193,1)}
       172:{2,4,5,7}:{(145,1),(147,1),(154,1),(190,1),(193,1),(208,1)}
       173:{1,2,4,5}:{(146,1),(147,1),(155,1),(191,1),(194,1),(199,1)}
       174:{3,6,7}:{(148,1),(149,1),(152,1)}
       175:{1,3,5,7}:{(149,1),(150,1),(160,1),(189,1),(195,1),(197,1)}
       176:{2,3,5,7}:{(149,1),(151,1),(190,1),(196,1),(197,1),(208,1),(209,1)}
       177:{1,2,5,6}:{(150,1),(151,1),(155,1),(191,1),(197,1),(198,1)}
       178:{1,3,6}:{(152,1),(153,1),(162,1),(198,1)}
       179:{2,3,6}:{(152,1),(154,1),(193,1),(198,1)}
       180:{1,2,5,7}:{(153,1),(154,1),(155,1),(156,1),(198,1)}
       181:{1,2,3,5}:{(155,1),(157,1),(163,1),(194,1),(199,1)}
       182:{1,2,3,7}:{(156,1),(157,1),(165,1),(209,1)}
       183:{3,5,6,7}:{(158,1),(159,1),(161,1),(200,1)}
       184:{1,4,6,7}:{(159,1),(160,1),(162,1),(195,1),(200,1)}
       185:{1,5,6}:{(161,1),(162,1),(164,1)}
       186:{1,3,4}:{(163,1),(199,1)}
       187:{1,4,5,7}:{(166,1),(170,1),(201,1)}
       188:{3,4,6,7}:{(166,1),(167,1),(171,1),(174,1),(201,1),(202,1)}
       189:{1,3,4,7}:{(167,1),(168,1),(175,1),(203,1)}
       190:{2,4,7}:{(167,1),(169,1),(176,1)}
       191:{1,2,4,6}:{(168,1),(169,1),(173,1),(177,1),(203,1),(204,1)}
       192:{3,5,6}:{(170,1),(171,1),(201,1),(205,1)}
       193:{2,4,6}:{(171,1),(172,1),(179,1),(205,1)}
       194:{2,3,5}:{(173,1),(204,1),(206,1)}
       195:{1,3,6,7}:{(174,1),(175,1),(178,1),(184,1),(207,1)}
       196:{2,3,6,7}:{(174,1),(176,1),(179,1),(202,1),(207,1)}
       197:{1,2,5,7}:{(175,1),(176,1),(177,1),(203,1),(207,1)}
       198:{1,2,6}:{(178,1),(179,1),(180,1)}
       199:{1,2,4}:{(181,1),(186,1),(206,1)}
       200:{1,5,6,7}:{(183,1),(184,1),(185,1)}
       201:{3,5,7}:{(187,1),(188,1),(192,1),(208,1)}
       202:{2,4,6,7}:{(188,1),(190,1),(193,1),(196,1),(208,1)}
       203:{1,2,4,7}:{(189,1),(190,1),(191,1),(197,1),(209,1)}
       204:{2,3,6}:{(191,1),(194,1),(209,1)}
       205:{2,5,6}:{(192,1),(193,1),(208,1)}
       206:{2,3,4}:{(194,1),(199,1)}
       207:{1,2,6,7}:{(195,1),(196,1),(197,1),(198,1)}
       208:{2,5,7}:{(201,1),(202,1),(205,1)}
       209:{2,3,7}:{(203,1),(204,1)}

 976 :   0:{1,3,4,5}:{(1,1),(2,1),(30,1),(75,1),(90,1)}
         1:{1,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(62,1)}
         2:{1,2,4,5}:{(0,1),(5,1),(7,1),(18,1),(56,1),(68,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(11,1),(38,1),(128,1),(187,1),(203,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(12,1),(13,1),(38,1),(75,1),(132,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(12,1),(14,1),(15,1),(43,1)}
         6:{1,3,4,7}:{(1,1),(13,1),(15,1),(91,1)}
         7:{2,3,5}:{(2,1),(14,1),(16,1)}
         8:{1,2,3,5}:{(7,1),(17,1),(18,1),(51,1),(56,1)}
         9:{1,4,5,6}:{(3,1),(4,1),(21,1),(100,1),(161,1)}
        10:{2,4,5,6}:{(3,1),(19,1),(22,1),(156,1),(207,1)}
        11:{3,4,5,7}:{(3,1),(21,1),(22,1),(23,1),(63,1),(179,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(24,1),(25,1),(56,1),(114,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(21,1),(25,1),(26,1),(63,1)}
        14:{2,3,6}:{(5,1),(7,1),(28,1)}
        15:{1,2,4,7}:{(5,1),(6,1),(25,1),(28,1),(69,1)}
        16:{2,3,4}:{(7,1),(18,1)}
        17:{1,2,3,6}:{(8,1),(14,1),(33,1),(34,1),(77,1)}
        18:{1,2,4}:{(8,1),(16,1),(30,1)}
        19:{2,3,5,6}:{(10,1),(31,1),(36,1),(37,1),(38,1),(135,1),(193,1)}
        20:{1,2,4,5,6}:{(9,1),(10,1),(12,1),(36,1),(38,1),(39,1),(43,1),(81,1),(87,1),(143,1),(154,1),(201,1),(203,1)}
        21:{1,4,5,7}:{(9,1),(11,1),(13,1),(40,1)}
        22:{2,4,5,7}:{(10,1),(11,1),(37,1),(41,1)}
        23:{3,4,6,7}:{(11,1),(40,1),(41,1),(42,1),(92,1),(152,1),(187,1)}
        24:{2,3,5,6}:{(12,1),(14,1),(38,1),(43,1),(44,1),(46,1),(98,1),(154,1)}
        25:{1,2,5,7}:{(12,1),(13,1),(15,1),(44,1),(45,1)}
        26:{1,3,6,7}:{(13,1),(40,1),(45,1),(92,1),(132,1)}
        27:{2,3,4,6}:{(14,1),(16,1),(33,1),(43,1),(46,1),(47,1),(80,1),(98,1)}
        28:{2,3,7}:{(14,1),(15,1)}
        29:{2,3,4,5}:{(16,1),(35,1),(46,1),(48,1),(128,1)}
        30:{1,3,4}:{(18,1),(51,1)}
        31:{2,3,4,6}:{(19,1),(49,1),(52,1),(53,1),(62,1)}
        32:{1,2,3,5,6}:{(17,1),(24,1),(54,1),(55,1),(56,1),(59,1),(101,1),(104,1),(108,1),(114,1),(163,1),(165,1),(170,1),(173,1),(213,1)}
        33:{1,2,4,6}:{(17,1),(18,1),(27,1),(50,1),(56,1),(57,1),(114,1)}
        34:{1,2,3,7}:{(17,1),(28,1),(57,1),(103,1)}
        35:{1,2,4,5}:{(18,1),(29,1),(51,1),(56,1),(58,1),(100,1)}
        36:{1,2,5,6}:{(19,1),(52,1),(59,1),(60,1),(163,1),(213,1)}
        37:{2,3,5,7}:{(19,1),(22,1),(53,1),(60,1),(61,1),(63,1)}
        38:{3,5,6}:{(20,1),(62,1),(63,1),(108,1),(170,1)}
        39:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(25,1),(60,1),(63,1),(64,1),(69,1),(116,1),(124,1),(176,1),(179,1)}
        40:{1,4,6,7}:{(21,1),(23,1),(26,1),(65,1),(161,1)}
        41:{2,4,6,7}:{(22,1),(23,1),(61,1),(66,1),(207,1)}
        42:{3,5,6,7}:{(23,1),(65,1),(66,1),(67,1),(210,1)}
        43:{2,4,6}:{(24,1),(62,1),(68,1),(69,1)}
        44:{2,3,5,7}:{(24,1),(25,1),(28,1),(63,1),(69,1),(70,1),(124,1)}
        45:{1,2,6,7}:{(25,1),(26,1),(70,1),(114,1)}
        46:{2,3,5}:{(27,1),(56,1),(68,1),(108,1)}
        47:{2,3,4,7}:{(27,1),(28,1),(57,1),(69,1),(72,1),(109,1)}
        48:{2,3,4,6}:{(29,1),(58,1),(71,1),(73,1),(158,1)}
        49:{2,3,4,5}:{(31,1),(74,1),(90,1),(135,1),(181,1)}
        50:{1,3,4,6}:{(30,1),(33,1),(75,1),(76,1),(77,1),(80,1),(129,1),(132,1)}
        51:{1,3,5}:{(30,1),(35,1),(77,1)}
        52:{1,2,4,6}:{(31,1),(36,1),(74,1),(78,1),(79,1),(87,1)}
        53:{2,3,4,7}:{(31,1),(37,1),(79,1),(91,1)}
        54:{1,2,4,6}:{(32,1),(43,1),(80,1),(81,1),(82,1),(87,1),(129,1),(183,1)}
        55:{1,2,3,5,7}:{(32,1),(34,1),(44,1),(82,1),(83,1),(85,1),(88,1),(131,1),(134,1),(140,1),(144,1),(191,1),(192,1)}
        56:{1,2,5}:{(33,1),(46,1),(75,1)}
        57:{1,2,4,7}:{(33,1),(34,1),(47,1),(76,1),(85,1)}
        58:{1,2,4,6}:{(35,1),(48,1),(77,1),(84,1),(86,1),(129,1)}
        59:{1,3,5,6}:{(36,1),(38,1),(78,1),(87,1),(88,1),(137,1),(195,1),(201,1)}
        60:{1,2,5,7}:{(36,1),(37,1),(79,1),(88,1),(89,1)}
        61:{2,3,6,7}:{(37,1),(41,1),(89,1),(92,1),(193,1)}
        62:{3,4,6}:{(38,1),(43,1),(87,1),(90,1),(91,1)}
        63:{3,5,7}:{(38,1),(39,1),(91,1),(92,1)}
        64:{1,2,4,6,7}:{(39,1),(40,1),(41,1),(45,1),(89,1),(92,1),(93,1),(96,1),(143,1),(148,1),(152,1)}
        65:{1,5,6,7}:{(40,1),(42,1),(189,1)}
        66:{2,5,6,7}:{(41,1),(42,1),(223,1)}
        67:{4,5,6,7}:{(42,1),(152,1),(225,1)}
        68:{2,4,5}:{(43,1),(46,1),(90,1)}
        69:{2,4,7}:{(43,1),(44,1),(91,1)}
        70:{2,3,6,7}:{(44,1),(45,1),(92,1),(96,1),(98,1)}
        71:{2,3,5,6}:{(46,1),(48,1),(84,1),(94,1),(97,1),(98,1),(139,1)}
        72:{2,3,5,7}:{(46,1),(47,1),(85,1),(95,1),(98,1),(140,1)}
        73:{2,3,4,7}:{(48,1),(86,1),(97,1),(186,1)}
        74:{1,2,4,5}:{(49,1),(52,1),(99,1),(115,1),(155,1),(163,1)}
        75:{1,3,5}:{(50,1),(56,1),(100,1),(108,1)}
        76:{1,3,4,7}:{(50,1),(57,1),(102,1),(103,1),(109,1),(160,1)}
        77:{1,3,6}:{(51,1),(58,1),(103,1)}
        78:{1,3,6}:{(52,1),(99,1),(107,1)}
        79:{1,2,4,7}:{(52,1),(53,1),(60,1),(107,1),(116,1)}
        80:{3,4,6}:{(54,1),(108,1),(109,1),(170,1)}
        81:{1,2,4,5}:{(54,1),(56,1),(68,1),(100,1),(108,1),(115,1),(156,1),(163,1)}
        82:{1,2,4,7}:{(54,1),(55,1),(69,1),(109,1),(116,1),(160,1),(206,1)}
        83:{1,2,3,6,7}:{(55,1),(70,1),(112,1),(114,1),(117,1),(162,1),(170,1),(213,1),(214,1)}
        84:{1,2,5,6}:{(56,1),(58,1),(71,1),(101,1),(113,1),(114,1)}
        85:{1,2,5,7}:{(56,1),(57,1),(72,1),(102,1),(114,1)}
        86:{1,2,4,7}:{(58,1),(73,1),(103,1),(113,1),(160,1)}
        87:{1,4,6}:{(59,1),(62,1),(115,1),(116,1)}
        88:{1,3,5,7}:{(59,1),(60,1),(63,1),(107,1),(116,1),(117,1),(176,1)}
        89:{1,2,6,7}:{(60,1),(61,1),(117,1),(213,1)}
        90:{3,4,5}:{(62,1),(68,1),(108,1),(115,1)}
        91:{3,4,7}:{(62,1),(63,1),(69,1),(116,1)}
        92:{3,6,7}:{(63,1),(64,1),(170,1)}
        93:{1,2,5,6,7}:{(64,1),(65,1),(66,1),(121,1),(124,1),(173,1),(176,1)}
        94:{2,4,5,6}:{(68,1),(71,1),(118,1),(122,1),(123,1)}
        95:{2,4,5,7}:{(68,1),(69,1),(72,1),(119,1),(123,1),(124,1)}
        96:{2,4,6,7}:{(69,1),(70,1),(120,1),(123,1),(124,1)}
        97:{2,3,5,7}:{(71,1),(73,1),(113,1),(122,1),(125,1),(169,1)}
        98:{2,3,6}:{(72,1),(114,1),(123,1),(170,1)}
        99:{1,3,5}:{(74,1),(78,1),(127,1)}
       100:{1,4,5}:{(75,1),(128,1),(129,1)}
       101:{1,3,5,6}:{(75,1),(77,1),(84,1),(129,1),(131,1),(132,1),(139,1),(189,1)}
       102:{1,3,5,7}:{(75,1),(76,1),(85,1),(130,1),(132,1),(140,1)}
       103:{1,3,7}:{(77,1),(86,1)}
       104:{1,2,3,6}:{(78,1),(126,1),(133,1),(134,1),(220,1)}
       105:{2,3,4,6}:{(80,1),(133,1),(135,1),(136,1),(181,1),(183,1),(193,1),(220,1)}
       106:{1,3,4,6}:{(78,1),(80,1),(87,1),(127,1),(133,1),(137,1),(138,1),(195,1)}
       107:{1,3,7}:{(78,1),(79,1)}
       108:{3,5}:{(80,1),(81,1)}
       109:{3,4,7}:{(80,1),(82,1),(140,1)}
       110:{1,2,4,5,6}:{(81,1),(84,1),(94,1),(129,1),(139,1),(142,1),(143,1),(146,1),(183,1),(189,1),(190,1),(223,1),(225,1)}
       111:{1,2,4,5,7}:{(81,1),(82,1),(85,1),(95,1),(130,1),(140,1),(143,1),(144,1),(147,1),(184,1),(191,1),(198,1)}
       112:{1,2,4,6,7}:{(82,1),(83,1),(96,1),(141,1),(143,1),(144,1),(148,1),(188,1),(222,1)}
       113:{1,2,5,7}:{(84,1),(86,1),(97,1),(131,1),(145,1)}
       114:{1,2,6}:{(85,1),(98,1),(132,1)}
       115:{1,4,5}:{(87,1),(90,1),(137,1)}
       116:{1,4,7}:{(87,1),(88,1),(91,1)}
       117:{1,3,6,7}:{(88,1),(89,1),(92,1),(148,1),(195,1)}
       118:{3,4,5,6}:{(90,1),(94,1),(139,1),(146,1),(149,1),(150,1),(225,1)}
       119:{3,4,5,7}:{(90,1),(91,1),(95,1),(140,1),(147,1),(150,1),(151,1),(198,1)}
       120:{3,4,6,7}:{(91,1),(92,1),(96,1),(148,1),(150,1),(151,1),(152,1)}
       121:{3,5,6,7}:{(92,1),(93,1),(151,1),(152,1),(197,1)}
       122:{2,4,5,7}:{(94,1),(97,1),(149,1),(153,1)}
       123:{2,4,6}:{(95,1),(98,1),(150,1),(154,1)}
       124:{2,5,7}:{(96,1),(151,1),(154,1)}
       125:{2,3,6,7}:{(97,1),(98,1),(145,1),(153,1),(196,1)}
       126:{1,2,3,5}:{(99,1),(104,1),(155,1),(163,1),(204,1)}
       127:{1,3,4}:{(99,1),(155,1)}
       128:{3,4,5}:{(100,1),(108,1),(156,1),(158,1)}
       129:{1,4,6}:{(100,1),(101,1),(158,1),(160,1)}
       130:{1,4,5,7}:{(100,1),(102,1),(159,1),(160,1),(161,1),(211,1)}
       131:{1,3,5,7}:{(101,1),(103,1),(113,1),(160,1),(162,1),(169,1),(211,1)}
       132:{1,3,6}:{(102,1),(114,1),(161,1),(170,1)}
       133:{1,2,4,6}:{(104,1),(105,1),(106,1),(155,1),(163,1),(164,1),(213,1)}
       134:{1,2,3,7}:{(104,1),(107,1),(164,1),(228,1)}
       135:{2,3,5}:{(105,1),(108,1),(156,1),(163,1)}
       136:{2,3,4,7}:{(105,1),(109,1),(164,1),(166,1),(206,1),(228,1)}
       137:{1,3,5}:{(106,1),(108,1),(115,1),(163,1)}
       138:{1,3,4,7}:{(106,1),(107,1),(109,1),(116,1),(164,1),(168,1)}
       139:{3,5,6}:{(108,1),(110,1),(158,1),(169,1),(170,1)}
       140:{3,5,7}:{(108,1),(109,1),(111,1),(170,1)}
       141:{3,4,6,7}:{(109,1),(112,1),(170,1),(171,1),(217,1)}
       142:{1,2,4,5,7}:{(110,1),(113,1),(122,1),(160,1),(169,1),(172,1),(174,1),(206,1),(211,1),(212,1),(229,1),(230,1)}
       143:{1,2,4,6}:{(111,1),(114,1),(123,1),(161,1),(170,1),(173,1),(175,1),(207,1),(213,1),(217,1)}
       144:{1,2,5,7}:{(112,1),(124,1),(171,1),(173,1),(176,1),(211,1),(229,1)}
       145:{1,2,6,7}:{(113,1),(114,1),(125,1),(162,1)}
       146:{1,4,5,6}:{(115,1),(118,1),(167,1),(174,1),(175,1)}
       147:{1,4,5,7}:{(115,1),(116,1),(119,1),(168,1),(175,1),(176,1)}
       148:{1,4,6,7}:{(116,1),(117,1),(120,1),(175,1),(176,1)}
       149:{3,4,5,7}:{(118,1),(122,1),(169,1),(174,1),(177,1),(230,1)}
       150:{3,4,6}:{(119,1),(123,1),(170,1),(175,1),(178,1),(217,1)}
       151:{3,5,7}:{(120,1),(124,1),(176,1),(178,1),(179,1)}
       152:{4,6,7}:{(121,1),(179,1),(217,1)}
       153:{2,4,6,7}:{(122,1),(123,1),(125,1),(177,1),(180,1)}
       154:{2,5,6}:{(123,1),(124,1),(178,1)}
       155:{1,2,4}:{(126,1),(127,1),(181,1)}
       156:{2,4,5}:{(128,1),(135,1),(183,1)}
       157:{1,3,4,5}:{(127,1),(128,1),(137,1),(182,1),(185,1)}
       158:{3,4,6}:{(128,1),(129,1),(139,1),(183,1),(186,1)}
       159:{3,4,5,7}:{(128,1),(130,1),(140,1),(184,1),(186,1),(187,1),(198,1),(224,1)}
       160:{1,4,7}:{(129,1),(131,1),(186,1)}
       161:{1,4,6}:{(130,1),(132,1),(187,1),(189,1)}
       162:{1,3,6,7}:{(131,1),(132,1),(145,1),(188,1),(196,1)}
       163:{1,2,5}:{(133,1),(135,1),(137,1)}
       164:{1,2,4,7}:{(133,1),(134,1),(136,1),(138,1),(191,1)}
       165:{2,3,5,6}:{(135,1),(139,1),(183,1),(190,1),(192,1),(193,1),(220,1),(223,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(140,1),(184,1),(191,1),(193,1)}
       167:{1,3,5,6}:{(137,1),(139,1),(146,1),(185,1),(190,1),(194,1),(195,1)}
       168:{1,3,5,7}:{(137,1),(138,1),(140,1),(147,1),(191,1),(195,1)}
       169:{3,5,7}:{(139,1),(142,1),(186,1),(196,1)}
       170:{3,6}:{(140,1),(143,1)}
       171:{3,5,7}:{(141,1),(144,1),(197,1),(198,1)}
       172:{1,2,4,6,7}:{(142,1),(143,1),(145,1),(153,1),(188,1),(196,1),(199,1),(200,1),(222,1),(226,1),(227,1)}
       173:{1,2,5,6}:{(143,1),(144,1),(154,1),(189,1),(197,1),(201,1),(223,1)}
       174:{1,4,5,7}:{(146,1),(149,1),(194,1),(200,1)}
       175:{1,4,6}:{(147,1),(150,1),(195,1),(201,1)}
       176:{1,5,7}:{(148,1),(151,1),(201,1)}
       177:{3,4,6,7}:{(149,1),(150,1),(153,1),(196,1),(200,1),(202,1),(227,1)}
       178:{3,5,6}:{(150,1),(151,1),(154,1),(201,1),(203,1)}
       179:{4,5,7}:{(151,1),(152,1),(203,1)}
       180:{2,5,6,7}:{(153,1),(154,1),(202,1)}
       181:{2,3,4}:{(155,1),(204,1)}
       182:{1,2,4,5}:{(155,1),(156,1),(157,1),(163,1),(204,1),(205,1)}
       183:{2,4,6}:{(156,1),(158,1),(165,1),(206,1)}
       184:{2,4,5,7}:{(156,1),(159,1),(166,1),(206,1),(207,1),(229,1)}
       185:{1,3,4,6}:{(157,1),(158,1),(167,1),(205,1),(208,1)}
       186:{3,4,7}:{(158,1),(160,1),(169,1),(206,1)}
       187:{3,4,6}:{(159,1),(161,1),(170,1),(207,1),(210,1),(217,1)}
       188:{1,4,6,7}:{(160,1),(161,1),(162,1),(209,1),(211,1)}
       189:{1,5,6}:{(161,1),(210,1),(211,1)}
       190:{1,2,5,6}:{(163,1),(165,1),(167,1),(205,1),(212,1),(213,1)}
       191:{1,2,5,7}:{(163,1),(164,1),(166,1),(168,1),(213,1)}
       192:{2,3,5,7}:{(165,1),(169,1),(206,1),(212,1),(214,1),(228,1),(229,1)}
       193:{2,3,6}:{(166,1),(170,1),(207,1),(213,1)}
       194:{1,3,5,7}:{(167,1),(169,1),(174,1),(208,1),(212,1),(215,1)}
       195:{1,3,6}:{(168,1),(170,1),(175,1),(213,1)}
       196:{3,6,7}:{(169,1),(170,1),(172,1)}
       197:{3,5,6}:{(170,1),(171,1),(173,1),(217,1)}
       198:{4,5,7}:{(171,1),(217,1)}
       199:{1,2,5,6,7}:{(172,1),(173,1),(180,1),(211,1),(216,1),(218,1),(229,1)}
       200:{1,4,6,7}:{(174,1),(175,1),(177,1),(215,1),(218,1)}
       201:{1,5,6}:{(175,1),(176,1),(178,1)}
       202:{3,5,6,7}:{(177,1),(178,1),(180,1),(218,1),(219,1)}
       203:{4,5,6}:{(178,1),(179,1),(217,1)}
       204:{2,3,5}:{(181,1),(182,1),(220,1)}
       205:{1,2,4,6}:{(182,1),(183,1),(185,1),(190,1),(220,1),(221,1)}
       206:{2,4,7}:{(183,1),(186,1),(192,1)}
       207:{2,4,6}:{(184,1),(187,1),(193,1),(223,1)}
       208:{1,3,4,7}:{(185,1),(186,1),(194,1),(221,1)}
       209:{3,4,6,7}:{(186,1),(187,1),(188,1),(196,1),(222,1),(224,1),(227,1)}
       210:{3,5,6}:{(187,1),(189,1),(223,1),(224,1),(225,1)}
       211:{1,5,7}:{(188,1),(189,1),(224,1)}
       212:{1,2,5,7}:{(190,1),(192,1),(194,1),(221,1),(226,1)}
       213:{1,2,6}:{(191,1),(193,1),(195,1)}
       214:{2,3,6,7}:{(192,1),(193,1),(196,1),(222,1),(226,1)}
       215:{1,3,6,7}:{(194,1),(195,1),(196,1),(200,1),(226,1)}
       216:{3,5,6,7}:{(196,1),(197,1),(199,1),(224,1),(227,1)}
       217:{4,6}:{(197,1),(198,1)}
       218:{1,5,6,7}:{(200,1),(201,1),(202,1)}
       219:{4,5,6,7}:{(202,1),(203,1),(227,1)}
       220:{2,3,6}:{(204,1),(205,1),(228,1)}
       221:{1,2,4,7}:{(205,1),(206,1),(208,1),(212,1),(228,1)}
       222:{2,4,6,7}:{(206,1),(207,1),(209,1),(214,1),(229,1)}
       223:{2,5,6}:{(207,1),(210,1),(229,1)}
       224:{3,5,7}:{(209,1),(210,1),(211,1),(229,1),(230,1)}
       225:{4,5,6}:{(210,1),(217,1),(230,1)}
       226:{1,2,6,7}:{(212,1),(213,1),(214,1),(215,1)}
       227:{4,6,7}:{(216,1),(217,1),(230,1)}
       228:{2,3,7}:{(220,1),(221,1)}
       229:{2,5,7}:{(222,1),(223,1),(224,1)}
       230:{4,5,7}:{(224,1),(225,1),(227,1)}

 977 :   0:{2,4,5,6}:{(2,1),(3,1),(21,1),(79,1),(80,1)}
         1:{2,3,4,6}:{(5,1),(6,1),(7,1),(21,1),(35,1),(60,1),(75,1),(108,1),(127,1)}
         2:{3,5,6}:{(0,1),(8,1),(9,1),(11,1)}
         3:{2,4,5,7}:{(0,1),(11,1),(12,1),(40,1),(90,1),(91,1)}
         4:{3,4,5}:{(8,1),(13,1),(14,1),(50,1)}
         5:{2,3,5}:{(1,1),(14,1),(16,1),(50,1),(131,1),(150,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(19,1),(55,1),(57,1),(107,1)}
         7:{2,3,4,7}:{(1,1),(17,1),(19,1),(40,1),(87,1),(103,1),(132,1),(202,1)}
         8:{3,4,6}:{(2,1),(4,1),(20,1),(21,1),(22,1),(60,1)}
         9:{1,5,6}:{(2,1),(20,1),(24,1)}
        10:{2,3,5,6}:{(2,1),(5,1),(21,1),(23,1),(25,1),(35,1),(60,1),(79,1),(128,1)}
        11:{3,5,7}:{(2,1),(3,1),(22,1),(24,1),(26,1)}
        12:{2,4,6,7}:{(3,1),(26,1),(27,1),(69,1)}
        13:{1,4,5}:{(4,1),(20,1),(28,1)}
        14:{2,4,5}:{(4,1),(5,1),(21,1),(170,1)}
        15:{3,4,5,7}:{(4,1),(22,1),(30,1),(31,1),(32,1),(64,1),(76,1),(157,1),(160,1),(165,1),(170,1)}
        16:{1,2,5}:{(5,1),(6,1),(33,1),(130,1)}
        17:{2,3,5,7}:{(5,1),(7,1),(31,1),(34,1),(35,1),(76,1),(153,1),(189,1),(193,1)}
        18:{1,3,6}:{(6,1),(33,1),(36,1),(60,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(34,1),(36,1),(81,1),(207,1)}
        20:{1,4,6}:{(8,1),(9,1),(13,1),(37,1),(39,1)}
        21:{2,4,6}:{(8,1),(10,1),(14,1),(40,1),(151,1)}
        22:{3,4,7}:{(8,1),(11,1),(39,1),(40,1),(87,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(16,1),(38,1),(42,1),(43,1),(57,1),(131,1),(171,1)}
        24:{1,5,7}:{(9,1),(11,1),(39,1),(44,1)}
        25:{2,3,5,7}:{(10,1),(11,1),(40,1),(43,1),(45,1),(87,1),(90,1),(138,1)}
        26:{3,6,7}:{(11,1),(12,1),(44,1)}
        27:{2,5,6,7}:{(12,1),(46,1),(90,1),(142,1)}
        28:{1,3,5}:{(13,1),(37,1),(47,1),(48,1),(50,1)}
        29:{1,2,4,5}:{(13,1),(14,1),(16,1),(38,1),(48,1),(50,1),(55,1),(92,1),(99,1),(131,1)}
        30:{1,4,5,7}:{(13,1),(15,1),(39,1),(49,1),(52,1),(89,1),(135,1),(145,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(17,1),(40,1),(53,1),(90,1),(175,1),(180,1)}
        32:{3,4,6}:{(15,1),(52,1),(53,1),(54,1),(104,1),(151,1)}
        33:{1,3,5}:{(16,1),(18,1),(50,1),(55,1)}
        34:{1,2,5,7}:{(16,1),(17,1),(19,1),(56,1),(57,1),(200,1),(203,1)}
        35:{2,3,6}:{(17,1),(53,1),(57,1),(104,1),(171,1)}
        36:{1,3,7}:{(18,1),(19,1),(87,1),(209,1)}
        37:{1,3,6}:{(20,1),(28,1),(58,1),(59,1),(60,1)}
        38:{1,2,4,6}:{(20,1),(21,1),(23,1),(29,1),(58,1),(60,1),(61,1),(65,1),(108,1)}
        39:{1,4,7}:{(20,1),(22,1),(24,1),(59,1)}
        40:{2,4,7}:{(21,1),(22,1),(25,1),(160,1)}
        41:{3,4,6,7}:{(22,1),(26,1),(32,1),(62,1),(63,1),(64,1),(69,1),(114,1),(119,1),(157,1),(160,1)}
        42:{1,3,5,6}:{(23,1),(33,1),(60,1),(65,1),(66,1),(82,1),(112,1),(128,1),(130,1),(158,1),(162,1)}
        43:{1,2,5,7}:{(23,1),(24,1),(25,1),(61,1),(66,1),(67,1),(153,1)}
        44:{1,6,7}:{(24,1),(26,1)}
        45:{2,3,6,7}:{(25,1),(26,1),(35,1),(63,1),(67,1),(114,1),(189,1)}
        46:{3,5,6,7}:{(26,1),(27,1),(64,1),(68,1),(69,1),(119,1)}
        47:{1,3,4}:{(28,1),(70,1),(75,1)}
        48:{1,2,5}:{(28,1),(58,1),(70,1),(72,1)}
        49:{1,3,5,7}:{(28,1),(30,1),(59,1),(71,1),(73,1),(74,1),(76,1),(122,1),(206,1)}
        50:{3,5}:{(29,1),(60,1),(75,1)}
        51:{1,2,4,5,7}:{(29,1),(30,1),(31,1),(34,1),(61,1),(73,1),(76,1),(77,1),(81,1),(115,1),(117,1),(123,1),(130,1),(153,1),(156,1),(160,1),(164,1),(166,1),(170,1),(186,1),(206,1)}
        52:{1,4,6}:{(30,1),(32,1),(74,1),(78,1)}
        53:{2,4,6}:{(31,1),(32,1),(35,1),(79,1)}
        54:{3,5,6}:{(32,1),(64,1),(78,1),(79,1),(80,1)}
        55:{1,4}:{(33,1),(75,1)}
        56:{1,3,5,7}:{(33,1),(34,1),(36,1),(76,1),(81,1),(82,1),(130,1),(188,1),(192,1),(206,1)}
        57:{1,2,6}:{(34,1),(35,1),(82,1)}
        58:{1,2,6}:{(37,1),(48,1),(83,1),(84,1)}
        59:{1,3,7}:{(37,1),(39,1),(84,1),(87,1)}
        60:{3,6}:{(38,1),(50,1),(87,1)}
        61:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(84,1),(87,1),(93,1),(132,1)}
        62:{1,4,6,7}:{(39,1),(41,1),(44,1),(52,1),(85,1),(89,1),(135,1)}
        63:{2,4,6,7}:{(40,1),(41,1),(45,1),(53,1),(90,1),(142,1),(175,1)}
        64:{3,5,7}:{(41,1),(54,1),(89,1),(90,1),(91,1)}
        65:{1,4,6}:{(42,1),(55,1),(86,1),(92,1),(93,1),(151,1)}
        66:{1,3,5,7}:{(42,1),(43,1),(87,1),(93,1),(94,1),(136,1),(138,1),(141,1)}
        67:{1,2,6,7}:{(43,1),(44,1),(45,1),(57,1),(94,1),(171,1),(200,1)}
        68:{1,5,6,7}:{(44,1),(46,1),(89,1),(95,1)}
        69:{4,6,7}:{(46,1),(91,1)}
        70:{1,2,4}:{(47,1),(48,1),(96,1),(99,1)}
        71:{1,3,4,7}:{(47,1),(49,1),(97,1),(98,1),(103,1),(135,1),(174,1),(199,1)}
        72:{2,3,5}:{(48,1),(50,1),(83,1),(96,1),(99,1),(131,1)}
        73:{1,2,5,7}:{(48,1),(49,1),(84,1),(97,1),(100,1),(101,1),(144,1)}
        74:{1,3,6}:{(49,1),(52,1),(101,1),(104,1),(208,1)}
        75:{3,4}:{(50,1),(55,1),(99,1)}
        76:{3,5,7}:{(50,1),(51,1),(87,1),(103,1),(104,1),(150,1),(174,1),(179,1)}
        77:{1,2,4,6}:{(51,1),(52,1),(53,1),(57,1),(101,1),(104,1),(105,1),(107,1),(140,1),(146,1),(151,1),(171,1),(197,1),(208,1)}
        78:{1,5,6}:{(52,1),(54,1),(89,1)}
        79:{2,5,6}:{(53,1),(54,1),(90,1)}
        80:{4,5,6}:{(54,1),(91,1),(151,1)}
        81:{1,4,7}:{(55,1),(56,1),(103,1),(107,1),(201,1)}
        82:{1,3,6}:{(56,1),(57,1),(104,1),(107,1),(208,1)}
        83:{2,3,6}:{(58,1),(60,1),(72,1),(108,1),(109,1)}
        84:{1,2,7}:{(58,1),(59,1),(109,1)}
        85:{1,3,6,7}:{(59,1),(62,1),(74,1),(110,1),(111,1),(114,1),(119,1)}
        86:{3,4,6}:{(60,1),(65,1),(75,1),(108,1),(112,1),(113,1),(158,1)}
        87:{3,7}:{(60,1),(61,1)}
        88:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(67,1),(77,1),(110,1),(114,1),(115,1),(118,1),(154,1),(156,1),(160,1)}
        89:{1,5,7}:{(62,1),(64,1),(78,1)}
        90:{2,5,7}:{(63,1),(64,1),(79,1)}
        91:{4,5,7}:{(64,1),(69,1),(80,1),(160,1)}
        92:{1,4,5}:{(65,1),(112,1),(130,1),(170,1)}
        93:{1,4,7}:{(65,1),(66,1),(113,1),(160,1)}
        94:{1,3,6,7}:{(66,1),(67,1),(82,1),(114,1),(118,1),(158,1),(188,1)}
        95:{1,4,6,7}:{(68,1),(69,1),(116,1),(119,1)}
        96:{2,3}:{(70,1)}
        97:{1,2,4,7}:{(70,1),(71,1),(73,1),(120,1),(121,1),(123,1)}
        98:{1,3,4,6}:{(71,1),(74,1),(121,1),(122,1),(126,1),(127,1),(168,1),(191,1),(195,1)}
        99:{2,4}:{(72,1),(75,1)}
       100:{2,3,5,7}:{(72,1),(73,1),(76,1),(109,1),(120,1),(123,1),(124,1),(153,1),(163,1),(166,1)}
       101:{1,2,6}:{(73,1),(74,1),(124,1)}
       102:{1,3,5,6}:{(74,1),(78,1),(111,1),(122,1),(125,1),(126,1),(128,1),(129,1),(168,1)}
       103:{3,4,7}:{(75,1),(76,1),(81,1),(123,1),(127,1),(160,1),(191,1)}
       104:{3,6}:{(76,1),(77,1)}
       105:{1,2,5,6}:{(77,1),(78,1),(79,1),(115,1),(128,1),(130,1),(162,1),(166,1),(185,1)}
       106:{1,4,5,6}:{(78,1),(80,1),(116,1),(126,1),(129,1)}
       107:{1,4,6}:{(81,1),(82,1),(127,1),(130,1)}
       108:{2,4,6}:{(83,1),(86,1),(99,1),(131,1),(132,1),(171,1)}
       109:{2,3,7}:{(83,1),(84,1),(87,1),(132,1)}
       110:{1,2,6,7}:{(84,1),(85,1),(101,1),(133,1),(134,1),(142,1),(208,1)}
       111:{1,3,5,7}:{(85,1),(89,1),(102,1),(134,1),(135,1),(138,1),(139,1),(174,1)}
       112:{3,5}:{(86,1),(92,1),(131,1)}
       113:{3,4,7}:{(86,1),(87,1),(93,1),(132,1),(136,1)}
       114:{3,6,7}:{(87,1),(88,1),(104,1),(138,1),(174,1)}
       115:{1,2,5,7}:{(88,1),(89,1),(90,1),(105,1),(138,1),(141,1),(172,1)}
       116:{1,4,5,7}:{(89,1),(91,1),(95,1),(106,1),(135,1),(139,1)}
       117:{1,4,5,7}:{(92,1),(93,1),(136,1),(140,1),(141,1),(177,1)}
       118:{1,4,6,7}:{(93,1),(94,1),(107,1),(137,1),(140,1),(141,1),(199,1),(208,1)}
       119:{3,6,7}:{(95,1),(139,1),(142,1)}
       120:{2,3,7}:{(96,1),(97,1),(143,1),(174,1)}
       121:{1,2,4,6}:{(97,1),(98,1),(101,1),(143,1),(144,1),(146,1),(178,1)}
       122:{1,3,5}:{(98,1),(144,1),(145,1),(150,1),(179,1),(204,1)}
       123:{2,4,7}:{(99,1),(100,1),(103,1),(146,1),(178,1)}
       124:{2,3,6}:{(100,1),(101,1),(104,1),(146,1),(171,1)}
       125:{1,2,5,6}:{(101,1),(102,1),(134,1),(144,1),(147,1),(148,1),(152,1),(204,1),(208,1)}
       126:{1,4,6}:{(102,1),(135,1),(145,1),(149,1),(151,1)}
       127:{3,4,6}:{(103,1),(104,1),(107,1),(146,1),(150,1),(151,1)}
       128:{3,5,6}:{(104,1),(105,1),(138,1),(150,1),(151,1)}
       129:{3,5,6}:{(106,1),(139,1),(149,1),(152,1)}
       130:{1,5}:{(107,1),(150,1)}
       131:{2,5}:{(108,1),(112,1)}
       132:{2,4,7}:{(108,1),(109,1),(113,1),(153,1)}
       133:{2,3,6,7}:{(109,1),(110,1),(114,1),(124,1),(154,1),(155,1),(205,1)}
       134:{1,2,5,7}:{(110,1),(111,1),(125,1),(155,1),(156,1),(161,1),(206,1)}
       135:{1,4,7}:{(111,1),(126,1),(157,1),(160,1)}
       136:{3,5,7}:{(112,1),(113,1),(117,1),(153,1),(158,1)}
       137:{3,4,6,7}:{(113,1),(114,1),(118,1),(127,1),(154,1),(158,1),(159,1),(160,1),(187,1),(190,1),(205,1)}
       138:{3,5,7}:{(114,1),(115,1),(128,1),(160,1)}
       139:{3,5,7}:{(116,1),(119,1),(129,1),(157,1),(161,1)}
       140:{1,4,6}:{(117,1),(158,1),(162,1),(190,1)}
       141:{1,5,7}:{(118,1),(130,1),(159,1),(162,1)}
       142:{2,6,7}:{(119,1),(161,1)}
       143:{2,3,6}:{(120,1),(121,1),(163,1),(168,1)}
       144:{1,2,5}:{(121,1),(122,1),(163,1),(166,1)}
       145:{1,4,5}:{(122,1),(126,1),(165,1),(170,1)}
       146:{2,4,6}:{(123,1),(124,1),(127,1),(166,1)}
       147:{2,3,5,6}:{(124,1),(125,1),(128,1),(155,1),(163,1),(166,1),(167,1),(168,1),(185,1),(194,1),(205,1)}
       148:{1,2,4,6}:{(125,1),(126,1),(156,1),(164,1),(167,1),(168,1),(169,1),(195,1),(196,1)}
       149:{3,4,6}:{(126,1),(129,1),(157,1),(165,1),(168,1),(169,1)}
       150:{3,5}:{(127,1),(130,1),(166,1),(170,1)}
       151:{4,6}:{(128,1),(160,1),(170,1)}
       152:{2,5,6}:{(129,1),(161,1),(169,1)}
       153:{2,5,7}:{(131,1),(132,1),(136,1),(171,1)}
       154:{2,4,6,7}:{(132,1),(133,1),(137,1),(146,1),(171,1),(172,1),(173,1),(197,1)}
       155:{2,3,5,7}:{(133,1),(134,1),(138,1),(147,1),(172,1),(173,1),(174,1),(198,1)}
       156:{1,2,4,7}:{(134,1),(135,1),(148,1),(173,1),(174,1),(175,1),(199,1),(200,1)}
       157:{3,4,7}:{(135,1),(139,1),(149,1),(174,1),(175,1)}
       158:{3,6}:{(136,1),(140,1),(171,1)}
       159:{3,5,7}:{(137,1),(141,1),(150,1),(172,1),(176,1),(177,1)}
       160:{4,7}:{(138,1),(151,1)}
       161:{2,5,7}:{(139,1),(142,1),(152,1),(175,1)}
       162:{1,5,6}:{(140,1),(141,1),(176,1),(208,1)}
       163:{2,3,5}:{(143,1),(144,1),(178,1),(179,1)}
       164:{1,2,4,5}:{(144,1),(145,1),(148,1),(178,1),(179,1),(180,1),(181,1),(201,1),(203,1),(204,1)}
       165:{3,4,5}:{(145,1),(149,1),(179,1),(180,1)}
       166:{2,5}:{(146,1),(150,1)}
       167:{2,4,6}:{(147,1),(151,1),(173,1),(178,1),(181,1),(182,1)}
       168:{3,6}:{(148,1),(174,1),(179,1)}
       169:{2,4,6}:{(149,1),(152,1),(175,1),(180,1),(184,1)}
       170:{4,5}:{(150,1),(151,1)}
       171:{2,6}:{(153,1),(158,1)}
       172:{2,5,7}:{(154,1),(159,1),(166,1),(185,1)}
       173:{2,4,7}:{(155,1),(160,1),(167,1),(187,1)}
       174:{3,7}:{(156,1),(168,1)}
       175:{2,4,7}:{(157,1),(161,1),(169,1),(189,1)}
       176:{3,5,6}:{(158,1),(159,1),(162,1),(185,1),(190,1),(205,1)}
       177:{4,5,7}:{(159,1),(160,1),(170,1),(190,1)}
       178:{2,4}:{(163,1),(191,1)}
       179:{3,5}:{(164,1),(168,1),(191,1)}
       180:{2,4,5}:{(165,1),(169,1),(193,1)}
       181:{2,4,5}:{(166,1),(167,1),(170,1),(194,1)}
       182:{3,4,6}:{(167,1),(168,1),(187,1),(191,1),(194,1),(195,1),(205,1)}
       183:{1,3,6}:{(168,1),(188,1),(192,1),(195,1),(196,1)}
       184:{2,3,6}:{(168,1),(169,1),(189,1),(193,1),(196,1)}
       185:{2,5,6}:{(171,1),(172,1),(176,1),(197,1)}
       186:{2,4,5,7}:{(172,1),(173,1),(177,1),(181,1),(197,1),(198,1)}
       187:{3,4,7}:{(173,1),(174,1),(182,1),(198,1),(199,1)}
       188:{1,3,7}:{(174,1),(183,1),(199,1),(200,1)}
       189:{2,3,7}:{(174,1),(175,1),(184,1),(200,1)}
       190:{4,6}:{(176,1),(177,1)}
       191:{3,4}:{(178,1),(179,1),(201,1)}
       192:{1,3,5}:{(179,1),(183,1),(201,1),(203,1),(204,1),(209,1)}
       193:{2,3,5}:{(179,1),(180,1),(184,1),(202,1),(203,1)}
       194:{3,5}:{(181,1),(182,1),(204,1)}
       195:{1,4,6}:{(182,1),(183,1),(199,1),(201,1),(204,1),(208,1)}
       196:{1,2,6}:{(183,1),(184,1),(200,1),(203,1)}
       197:{2,4,6}:{(185,1),(186,1),(190,1),(205,1)}
       198:{3,5,7}:{(186,1),(187,1),(194,1),(205,1),(206,1)}
       199:{1,4,7}:{(187,1),(188,1),(195,1),(206,1)}
       200:{1,2,7}:{(188,1),(189,1),(196,1)}
       201:{1,4}:{(191,1),(192,1)}
       202:{2,3,4}:{(191,1),(193,1),(207,1)}
       203:{1,2,5}:{(192,1),(193,1),(196,1),(207,1)}
       204:{1,5}:{(194,1),(195,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{1,5,7}:{(198,1),(199,1),(204,1),(208,1)}
       207:{1,2,4}:{(201,1),(202,1),(203,1),(209,1)}
       208:{1,6}:{(205,1),(206,1)}
       209:{1,3}:{(207,1)}

 978 :   0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(25,1),(29,1),(31,1),(52,1),(58,1),(79,1),(86,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(38,1),(69,1),(96,1),(102,1)}
         2:{1,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(74,1),(101,1)}
         3:{1,3,5,6}:{(2,1),(8,1),(9,1),(27,1),(29,1)}
         4:{2,3,6,7}:{(1,1),(10,1),(29,1),(111,1),(115,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(114,1)}
         6:{1,4,5,7}:{(2,1),(9,1),(12,1),(79,1),(87,1)}
         7:{1,3,5,6,7}:{(3,1),(13,1),(14,1),(35,1),(37,1),(63,1),(123,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(40,1),(74,1)}
         9:{1,4,6}:{(3,1),(6,1),(18,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(125,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(45,1),(47,1),(74,1),(96,1),(103,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(49,1),(81,1),(83,1),(112,1)}
        14:{1,4,6,7}:{(7,1),(9,1),(22,1),(25,1),(79,1),(131,1)}
        15:{1,4,5,6}:{(9,1),(22,1),(27,1)}
        16:{2,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(27,1),(29,1),(30,1)}
        19:{2,4,7}:{(10,1),(28,1),(31,1),(132,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(111,1),(116,1)}
        21:{2,4,5,7}:{(12,1),(30,1),(33,1),(49,1),(80,1),(88,1)}
        22:{1,4,5,7}:{(14,1),(15,1),(35,1),(136,1)}
        23:{2,3,5,6,7}:{(13,1),(16,1),(36,1),(37,1),(64,1),(66,1),(98,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(36,1),(37,1),(38,1),(67,1),(69,1),(96,1),(121,1)}
        25:{3,4,6,7}:{(14,1),(18,1),(35,1),(37,1),(38,1),(62,1),(135,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(39,1),(40,1),(41,1),(65,1),(71,1),(72,1),(73,1),(74,1),(97,1),(103,1),(121,1),(136,1),(139,1)}
        27:{3,5,6}:{(15,1),(18,1),(35,1),(40,1)}
        28:{2,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{2,4,6}:{(18,1),(21,1),(40,1),(44,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(45,1),(126,1)}
        32:{1,3,5,7}:{(20,1),(43,1),(45,1),(47,1),(74,1),(77,1),(105,1)}
        33:{2,3,5,7}:{(20,1),(21,1),(44,1),(46,1),(47,1),(75,1)}
        34:{1,2,4,5,7}:{(22,1),(24,1),(26,1),(48,1),(49,1),(50,1),(79,1),(80,1),(81,1),(83,1)}
        35:{3,5,7}:{(22,1),(25,1),(27,1),(49,1),(138,1)}
        36:{2,4,6,7}:{(23,1),(28,1),(50,1),(51,1),(80,1),(109,1)}
        37:{3,6,7}:{(24,1),(29,1),(48,1),(111,1),(129,1)}
        38:{2,4,6,7}:{(25,1),(30,1),(49,1),(53,1),(80,1),(137,1)}
        39:{3,5,6}:{(26,1),(29,1),(48,1),(54,1),(57,1),(116,1),(129,1),(138,1)}
        40:{2,5,6}:{(27,1),(30,1),(49,1)}
        41:{2,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(58,1)}
        43:{1,3,6}:{(29,1),(32,1),(58,1),(60,1)}
        44:{2,3,6}:{(29,1),(30,1),(33,1),(60,1)}
        45:{1,4,7}:{(31,1),(32,1),(58,1),(117,1)}
        46:{2,3,4,7}:{(31,1),(33,1),(59,1),(61,1),(80,1),(111,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(37,1),(39,1),(62,1)}
        49:{2,5,7}:{(35,1),(38,1),(40,1),(139,1)}
        50:{2,4,5,7}:{(36,1),(41,1),(65,1),(66,1)}
        51:{3,4,6,7}:{(36,1),(37,1),(42,1),(62,1),(66,1),(67,1),(93,1)}
        52:{1,3,6,7}:{(37,1),(43,1),(63,1),(67,1),(69,1),(118,1)}
        53:{2,3,6,7}:{(37,1),(38,1),(44,1),(64,1),(69,1),(133,1)}
        54:{3,4,6}:{(39,1),(62,1),(70,1),(71,1),(72,1),(104,1),(126,1)}
        55:{1,3,5,6}:{(39,1),(43,1),(63,1),(71,1),(73,1),(74,1),(97,1),(101,1),(104,1),(105,1),(118,1)}
        56:{2,3,5,6}:{(39,1),(40,1),(44,1),(64,1),(72,1),(73,1),(75,1),(104,1),(125,1),(133,1),(139,1)}
        57:{3,5}:{(41,1),(42,1),(74,1)}
        58:{1,4,6}:{(42,1),(43,1),(45,1),(74,1)}
        59:{2,3,4,6}:{(42,1),(44,1),(46,1),(72,1),(75,1),(76,1),(104,1),(126,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(54,1),(79,1),(80,1),(111,1)}
        63:{1,3,5,7}:{(48,1),(52,1),(55,1),(79,1),(81,1),(83,1),(111,1)}
        64:{2,3,5,7}:{(48,1),(49,1),(53,1),(56,1),(80,1),(81,1),(111,1)}
        65:{2,4,5,6}:{(50,1),(82,1),(109,1)}
        66:{3,5,7}:{(50,1),(51,1),(57,1),(82,1),(83,1)}
        67:{1,4,6,7}:{(51,1),(52,1),(58,1),(79,1),(83,1),(108,1)}
        68:{2,3,4,6,7}:{(51,1),(53,1),(59,1),(80,1),(84,1),(85,1),(109,1),(111,1),(129,1),(130,1),(137,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(60,1),(81,1),(127,1)}
        70:{3,4,5}:{(54,1),(57,1),(87,1),(88,1),(116,1),(138,1)}
        71:{1,4,6}:{(54,1),(55,1),(79,1),(87,1),(117,1)}
        72:{2,4,6}:{(54,1),(56,1),(80,1),(88,1),(132,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(60,1),(81,1),(89,1),(90,1),(114,1),(127,1)}
        74:{1,5}:{(57,1),(58,1)}
        75:{2,3,5}:{(57,1),(59,1),(88,1),(90,1),(116,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{1,3,7}:{(61,1),(91,1),(111,1)}
        78:{3,4,5,7}:{(62,1),(66,1),(70,1),(93,1),(94,1),(95,1),(122,1)}
        79:{1,4,7}:{(62,1),(63,1),(71,1)}
        80:{2,4,7}:{(62,1),(64,1),(72,1)}
        81:{1,2,5,7}:{(63,1),(64,1),(69,1),(73,1),(96,1)}
        82:{3,5,6}:{(65,1),(66,1),(93,1),(97,1)}
        83:{1,5,7}:{(66,1),(67,1),(74,1),(97,1)}
        84:{2,3,5,7}:{(66,1),(68,1),(75,1),(95,1),(98,1),(99,1),(122,1),(139,1)}
        85:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(96,1),(99,1),(100,1),(121,1),(124,1)}
        86:{1,3,4,6}:{(71,1),(92,1),(101,1),(102,1),(104,1),(118,1),(126,1),(135,1)}
        87:{1,4,5}:{(70,1),(71,1),(74,1),(101,1)}
        88:{2,4,5}:{(70,1),(72,1),(75,1),(139,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(73,1),(96,1),(103,1),(104,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{1,3,6}:{(76,1),(77,1),(104,1),(105,1)}
        92:{1,3,4,7}:{(79,1),(86,1),(106,1),(107,1),(111,1),(130,1)}
        93:{3,4,6}:{(78,1),(82,1),(108,1),(109,1),(129,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(106,1),(108,1)}
        95:{2,4,5,7}:{(78,1),(80,1),(84,1),(88,1),(109,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(89,1),(111,1)}
        97:{1,5,6}:{(82,1),(83,1),(108,1)}
        98:{2,3,5,6}:{(82,1),(84,1),(109,1),(112,1),(129,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(85,1),(90,1),(112,1),(113,1)}
       100:{1,3,6,7}:{(85,1),(91,1),(111,1),(113,1),(129,1)}
       101:{1,3,5}:{(86,1),(87,1),(114,1),(116,1),(138,1)}
       102:{1,2,4,6}:{(86,1),(107,1),(114,1),(115,1),(127,1),(132,1),(137,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(89,1),(90,1),(114,1),(116,1),(117,1),(132,1)}
       104:{3,6}:{(89,1),(111,1),(116,1)}
       105:{1,3,5}:{(90,1),(91,1),(116,1),(117,1)}
       106:{1,3,5,7}:{(92,1),(94,1),(101,1),(118,1),(119,1),(122,1)}
       107:{1,2,4,7}:{(92,1),(102,1),(119,1),(120,1),(134,1)}
       108:{1,4,6}:{(93,1),(94,1),(97,1),(118,1)}
       109:{2,4,6}:{(93,1),(95,1),(98,1)}
       110:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(103,1),(119,1),(121,1),(122,1),(124,1),(134,1),(136,1),(139,1)}
       111:{3,7}:{(96,1),(104,1)}
       112:{1,2,5,6}:{(97,1),(98,1),(99,1),(121,1),(123,1),(139,1)}
       113:{1,3,5,7}:{(99,1),(100,1),(105,1),(122,1),(123,1),(124,1)}
       114:{1,2,5}:{(101,1),(102,1),(125,1),(139,1)}
       115:{2,3,6}:{(102,1),(104,1),(120,1),(125,1)}
       116:{3,5}:{(103,1),(104,1),(126,1)}
       117:{1,4}:{(105,1),(126,1)}
       118:{1,3,6}:{(106,1),(108,1),(127,1),(129,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(114,1),(127,1),(128,1)}
       120:{2,3,7}:{(107,1),(111,1),(115,1)}
       121:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1),(131,1),(137,1)}
       122:{3,5,7}:{(110,1),(111,1),(116,1),(129,1),(130,1),(138,1)}
       123:{1,3,5,6}:{(112,1),(113,1),(129,1),(131,1),(138,1)}
       124:{1,4,7}:{(113,1),(117,1),(130,1),(131,1)}
       125:{2,3,5}:{(114,1),(115,1),(116,1),(132,1)}
       126:{3,4}:{(116,1),(117,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{2,3,5,7}:{(119,1),(120,1),(122,1),(125,1),(133,1),(134,1),(139,1)}
       129:{3,6}:{(121,1),(122,1)}
       130:{3,4,7}:{(122,1),(124,1),(126,1),(134,1),(135,1)}
       131:{1,4,6}:{(123,1),(124,1),(135,1),(136,1)}
       132:{2,4}:{(125,1),(126,1)}
       133:{2,3,6}:{(127,1),(128,1),(129,1),(137,1)}
       134:{2,4,7}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,4,6}:{(129,1),(130,1),(131,1),(137,1),(138,1)}
       136:{1,4,5}:{(131,1),(138,1)}
       137:{2,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

 979 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(70,1),(71,1),(78,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(14,1),(35,1),(36,1),(41,1),(44,1),(46,1),(78,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(24,1),(82,1),(83,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(52,1),(53,1),(62,1),(64,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(49,1),(50,1)}
         5:{3,4,6,7}:{(2,1),(11,1),(15,1),(37,1),(41,1)}
         6:{1,2,5,7}:{(2,1),(11,1),(12,1),(94,1),(95,1)}
         7:{1,2,4,5}:{(4,1),(14,1),(39,1),(40,1),(44,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(15,1),(67,1),(68,1)}
         9:{3,4,6}:{(4,1),(14,1),(15,1),(41,1)}
        10:{1,2,4,5,6}:{(7,1),(19,1),(20,1),(24,1),(49,1),(50,1),(54,1),(55,1),(87,1),(88,1)}
        11:{3,5,7}:{(5,1),(6,1),(21,1),(22,1)}
        12:{1,2,5,6}:{(6,1),(21,1),(24,1),(87,1),(88,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(22,1),(24,1),(25,1),(57,1),(58,1),(62,1)}
        14:{3,5}:{(7,1),(9,1)}
        15:{3,4,7}:{(8,1),(9,1),(25,1)}
        16:{1,3,4,6}:{(9,1),(26,1),(28,1),(30,1),(49,1),(60,1),(85,1),(91,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(29,1),(30,1),(50,1),(61,1),(85,1),(91,1),(105,1)}
        18:{1,2,5,6,7}:{(12,1),(31,1),(33,1),(94,1),(95,1)}
        19:{1,2,4,5,7}:{(10,1),(33,1),(34,1),(65,1),(67,1),(68,1),(72,1),(94,1),(95,1)}
        20:{3,5,6}:{(10,1),(14,1),(32,1),(34,1),(41,1)}
        21:{3,5,6}:{(11,1),(12,1),(37,1),(41,1)}
        22:{4,5,7}:{(11,1),(37,1)}
        23:{3,4,5}:{(14,1),(32,1),(39,1),(40,1),(77,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(37,1),(41,1),(74,1),(75,1),(78,1)}
        25:{3,5,7}:{(13,1),(14,1),(15,1),(41,1)}
        26:{1,3,5}:{(14,1),(16,1),(39,1),(44,1),(77,1),(109,1)}
        27:{2,3,5}:{(14,1),(17,1),(40,1),(44,1),(77,1),(109,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(42,1),(45,1),(67,1),(97,1),(100,1)}
        29:{2,3,4,7}:{(15,1),(17,1),(43,1),(45,1),(68,1),(97,1),(100,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(44,1),(45,1),(46,1),(78,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(47,1),(51,1),(81,1)}
        32:{3,4,6}:{(20,1),(23,1),(48,1),(49,1),(50,1),(85,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(24,1),(47,1),(51,1),(82,1),(83,1),(86,1)}
        34:{3,5,7}:{(19,1),(20,1),(48,1),(51,1)}
        35:{1,3,5,6}:{(20,1),(26,1),(49,1),(52,1),(54,1),(60,1),(85,1),(87,1),(104,1)}
        36:{2,3,5,6}:{(20,1),(27,1),(50,1),(53,1),(54,1),(61,1),(85,1),(88,1),(104,1)}
        37:{4,6}:{(21,1),(22,1)}
        38:{3,4,5,7}:{(22,1),(23,1),(25,1),(48,1),(56,1),(57,1),(58,1),(81,1),(90,1),(110,1),(111,1)}
        39:{1,4,5}:{(23,1),(26,1),(49,1),(111,1)}
        40:{2,4,5}:{(23,1),(27,1),(50,1),(111,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(28,1),(57,1),(60,1),(62,1),(90,1)}
        43:{2,3,5,7}:{(25,1),(27,1),(29,1),(58,1),(61,1),(62,1),(90,1)}
        44:{1,2,5}:{(26,1),(27,1),(30,1)}
        45:{1,2,4,7}:{(28,1),(29,1),(30,1),(62,1),(64,1)}
        46:{1,2,3,6}:{(30,1),(63,1),(64,1),(85,1)}
        47:{4,6,7}:{(31,1),(37,1),(65,1)}
        48:{3,4,7}:{(32,1),(34,1),(67,1),(68,1),(97,1)}
        49:{1,4,6}:{(32,1),(35,1),(39,1),(67,1),(108,1)}
        50:{2,4,6}:{(32,1),(36,1),(40,1),(68,1),(108,1)}
        51:{3,6,7}:{(33,1),(34,1),(41,1)}
        52:{1,3,5,7}:{(34,1),(35,1),(67,1),(70,1),(72,1),(94,1),(97,1),(107,1)}
        53:{2,3,5,7}:{(34,1),(36,1),(68,1),(71,1),(72,1),(95,1),(97,1),(107,1)}
        54:{1,2,5,6}:{(35,1),(36,1),(44,1),(69,1),(72,1),(78,1)}
        55:{4,5,6}:{(37,1),(65,1),(73,1),(108,1)}
        56:{3,4,6}:{(37,1),(38,1),(41,1),(73,1),(74,1),(75,1),(99,1),(108,1)}
        57:{1,4,5,7}:{(38,1),(39,1),(42,1),(67,1),(74,1),(94,1)}
        58:{2,4,5,7}:{(38,1),(40,1),(43,1),(68,1),(75,1),(95,1)}
        59:{1,2,4,5}:{(39,1),(40,1),(44,1),(69,1),(77,1),(80,1)}
        60:{1,3,6}:{(41,1),(42,1),(74,1),(78,1),(99,1)}
        61:{2,3,6}:{(41,1),(43,1),(75,1),(78,1),(99,1)}
        62:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(78,1)}
        63:{1,2,3,5}:{(44,1),(46,1),(77,1),(80,1)}
        64:{1,2,3,7}:{(45,1),(46,1),(97,1)}
        65:{4,5,7}:{(47,1),(55,1),(81,1),(110,1)}
        66:{3,4,6,7}:{(47,1),(48,1),(51,1),(56,1),(81,1),(82,1),(83,1),(103,1),(110,1)}
        67:{1,4,7}:{(48,1),(49,1),(52,1),(110,1)}
        68:{2,4,7}:{(48,1),(50,1),(53,1),(110,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(54,1),(59,1),(84,1),(85,1)}
        70:{1,3,6,7}:{(51,1),(52,1),(60,1),(82,1),(86,1),(103,1)}
        71:{2,3,6,7}:{(51,1),(53,1),(61,1),(83,1),(86,1),(103,1)}
        72:{1,2,5,7}:{(52,1),(53,1),(54,1),(84,1),(86,1)}
        73:{3,5,6}:{(55,1),(56,1),(81,1),(87,1),(88,1)}
        74:{1,4,6}:{(56,1),(57,1),(60,1),(87,1)}
        75:{2,4,6}:{(56,1),(58,1),(61,1),(88,1)}
        76:{1,2,4,5,7}:{(57,1),(58,1),(59,1),(62,1),(84,1),(89,1),(90,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        77:{3,5}:{(59,1),(85,1),(91,1)}
        78:{1,2,6}:{(60,1),(61,1),(62,1)}
        79:{1,2,3,5,7}:{(62,1),(63,1),(64,1),(90,1),(92,1),(93,1),(106,1)}
        80:{1,2,4}:{(63,1),(91,1)}
        81:{3,5,7}:{(65,1),(66,1),(73,1),(94,1),(95,1)}
        82:{1,4,6,7}:{(66,1),(67,1),(70,1),(74,1),(94,1)}
        83:{2,4,6,7}:{(66,1),(68,1),(71,1),(75,1),(95,1)}
        84:{1,2,4,7}:{(67,1),(68,1),(69,1),(72,1),(97,1)}
        85:{3,6}:{(69,1),(77,1),(97,1)}
        86:{1,2,6,7}:{(70,1),(71,1),(72,1),(78,1)}
        87:{1,5,6}:{(73,1),(74,1),(94,1)}
        88:{2,5,6}:{(73,1),(75,1),(95,1)}
        89:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(98,1),(99,1),(108,1)}
        90:{3,5,7}:{(76,1),(77,1),(97,1),(99,1),(100,1),(109,1)}
        91:{3,4}:{(77,1),(80,1)}
        92:{1,2,3,6}:{(78,1),(79,1),(99,1),(101,1)}
        93:{1,2,4,7}:{(79,1),(80,1),(100,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(87,1)}
        95:{2,5,7}:{(81,1),(83,1),(88,1)}
        96:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(86,1),(89,1),(102,1),(103,1),(110,1)}
        97:{3,7}:{(84,1),(85,1)}
        98:{1,2,5,6}:{(87,1),(88,1),(89,1),(102,1),(104,1),(106,1)}
        99:{3,6}:{(89,1),(90,1)}
       100:{3,4,7}:{(90,1),(91,1),(93,1),(105,1),(110,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(98,1),(107,1)}
       103:{3,6,7}:{(96,1),(97,1),(99,1),(107,1)}
       104:{3,5,6}:{(98,1),(99,1),(107,1),(108,1),(109,1)}
       105:{3,4,6}:{(99,1),(100,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(104,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

 980 :   0:{1,3,5,6,7}:{(2,1),(3,1),(11,1),(13,1),(36,1),(40,1),(86,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(11,1),(17,1),(37,1),(48,1),(80,1)}
         2:{1,2,5,6,7}:{(0,1),(1,1),(5,1),(27,1),(31,1),(58,1),(61,1),(67,1)}
         3:{1,4,6,7}:{(0,1),(6,1),(7,1),(56,1),(59,1),(105,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(9,1),(57,1),(66,1),(100,1)}
         5:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(10,1),(11,1),(15,1),(18,1),(38,1),(77,1),(79,1),(85,1)}
         6:{1,4,5,7}:{(3,1),(12,1),(13,1),(122,1)}
         7:{3,4,6,7}:{(3,1),(11,1),(13,1),(15,1),(35,1),(39,1),(121,1)}
         8:{2,4,5,7}:{(4,1),(16,1),(17,1),(118,1)}
         9:{3,4,6,7}:{(4,1),(11,1),(17,1),(18,1),(35,1),(46,1),(117,1)}
        10:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(20,1),(21,1),(27,1),(31,1),(56,1),(57,1),(58,1)}
        11:{3,6,7}:{(5,1),(21,1),(97,1),(99,1),(104,1)}
        12:{1,4,5,6}:{(6,1),(24,1),(59,1)}
        13:{3,5,7}:{(6,1),(7,1),(24,1),(27,1),(132,1)}
        14:{1,3,4,6,7}:{(7,1),(22,1),(26,1),(28,1),(56,1),(59,1),(92,1),(97,1),(99,1),(102,1),(129,1)}
        15:{2,4,6,7}:{(7,1),(23,1),(27,1),(57,1),(60,1),(131,1)}
        16:{2,4,5,6}:{(8,1),(29,1),(66,1)}
        17:{3,5,7}:{(8,1),(9,1),(29,1),(31,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(22,1),(31,1),(56,1),(65,1),(129,1)}
        19:{2,3,4,6,7}:{(9,1),(23,1),(32,1),(33,1),(57,1),(66,1),(93,1),(97,1),(104,1),(107,1),(131,1)}
        20:{1,2,4,5,6}:{(10,1),(12,1),(16,1),(34,1),(41,1),(47,1),(72,1),(73,1),(74,1),(79,1),(85,1),(110,1),(118,1),(122,1),(136,1),(137,1)}
        21:{3,5,7}:{(10,1),(11,1),(34,1),(35,1)}
        22:{1,3,6,7}:{(11,1),(18,1),(36,1),(38,1),(84,1),(116,1)}
        23:{2,3,6,7}:{(11,1),(15,1),(37,1),(38,1),(78,1),(120,1)}
        24:{3,5,6}:{(12,1),(13,1),(39,1),(41,1)}
        25:{3,4,5,7}:{(13,1),(35,1),(39,1),(42,1),(43,1),(71,1),(82,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(40,1),(42,1),(44,1),(82,1),(108,1),(136,1)}
        27:{2,5,7}:{(13,1),(15,1),(41,1),(137,1)}
        28:{1,2,4,6,7}:{(14,1),(15,1),(38,1),(44,1),(45,1),(77,1),(79,1),(83,1),(111,1)}
        29:{3,5,6}:{(16,1),(17,1),(46,1),(47,1)}
        30:{3,4,5,7}:{(17,1),(35,1),(46,1),(49,1),(50,1),(71,1),(88,1)}
        31:{1,5,7}:{(17,1),(18,1),(47,1),(136,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(48,1),(50,1),(51,1),(88,1),(109,1),(137,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(38,1),(51,1),(52,1),(77,1),(85,1),(89,1),(112,1)}
        34:{3,5,6}:{(20,1),(21,1),(53,1),(99,1),(104,1),(126,1),(130,1),(132,1)}
        35:{3,4,7}:{(21,1),(53,1),(56,1),(57,1),(97,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(31,1),(54,1),(56,1),(58,1),(97,1)}
        37:{2,3,5,7}:{(21,1),(23,1),(27,1),(55,1),(57,1),(58,1),(97,1)}
        38:{1,2,6,7}:{(22,1),(23,1),(58,1),(98,1),(103,1)}
        39:{3,4,6}:{(24,1),(25,1),(59,1),(60,1),(99,1)}
        40:{1,3,5,6}:{(24,1),(26,1),(59,1),(61,1),(99,1)}
        41:{2,5,6}:{(24,1),(27,1),(60,1)}
        42:{1,4,5,7}:{(25,1),(26,1),(56,1),(59,1),(90,1)}
        43:{2,4,5,7}:{(25,1),(27,1),(57,1),(60,1),(62,1),(91,1)}
        44:{1,2,5,7}:{(26,1),(27,1),(28,1),(61,1),(64,1),(124,1)}
        45:{2,3,6,7}:{(28,1),(64,1),(97,1),(99,1),(127,1)}
        46:{3,4,6}:{(29,1),(30,1),(65,1),(66,1),(104,1)}
        47:{1,5,6}:{(29,1),(31,1),(65,1)}
        48:{2,3,5,6}:{(29,1),(32,1),(66,1),(67,1),(104,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(56,1),(65,1),(68,1),(90,1)}
        50:{2,4,5,7}:{(30,1),(32,1),(57,1),(66,1),(91,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(67,1),(70,1),(125,1)}
        52:{1,3,6,7}:{(33,1),(70,1),(97,1),(104,1),(128,1)}
        53:{3,4,6}:{(34,1),(35,1),(71,1),(72,1),(73,1),(113,1),(135,1)}
        54:{1,3,5,6}:{(34,1),(36,1),(47,1),(72,1),(74,1),(84,1),(108,1),(113,1),(116,1),(134,1),(136,1)}
        55:{2,3,5,6}:{(34,1),(37,1),(41,1),(73,1),(74,1),(78,1),(109,1),(113,1),(120,1),(133,1),(137,1)}
        56:{1,4,7}:{(35,1),(36,1),(72,1)}
        57:{2,4,7}:{(35,1),(37,1),(73,1)}
        58:{1,2,5,7}:{(36,1),(37,1),(38,1),(74,1),(77,1)}
        59:{1,4,6}:{(39,1),(40,1),(42,1)}
        60:{2,4,6}:{(39,1),(41,1),(43,1),(78,1)}
        61:{1,2,5,6}:{(40,1),(41,1),(44,1),(79,1),(80,1),(136,1)}
        62:{2,3,5,7}:{(43,1),(76,1),(78,1),(81,1),(82,1),(109,1)}
        63:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(77,1),(79,1),(81,1),(82,1),(83,1),(110,1),(118,1),(119,1),(136,1)}
        64:{2,3,5,7}:{(44,1),(45,1),(80,1),(82,1),(83,1),(133,1)}
        65:{1,4,6}:{(46,1),(47,1),(49,1),(84,1)}
        66:{2,4,6}:{(46,1),(48,1),(50,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(51,1),(85,1),(86,1),(137,1)}
        68:{1,3,5,7}:{(49,1),(75,1),(84,1),(87,1),(88,1),(108,1)}
        69:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(77,1),(85,1),(87,1),(88,1),(89,1),(110,1),(122,1),(123,1),(137,1)}
        70:{1,3,5,7}:{(51,1),(52,1),(86,1),(88,1),(89,1),(134,1)}
        71:{3,4,5}:{(53,1),(90,1),(91,1),(126,1),(130,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(56,1),(90,1),(139,1)}
        73:{2,4,6}:{(53,1),(55,1),(57,1),(91,1),(138,1)}
        74:{1,2,5,6}:{(54,1),(55,1),(58,1),(94,1),(98,1),(103,1),(124,1),(125,1)}
        75:{1,3,4,7}:{(56,1),(68,1),(92,1),(95,1),(97,1),(107,1)}
        76:{2,3,4,7}:{(57,1),(62,1),(93,1),(96,1),(97,1),(102,1)}
        77:{1,2,4,7}:{(56,1),(57,1),(58,1),(94,1),(97,1)}
        78:{2,3,6}:{(60,1),(62,1),(98,1),(99,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(63,1),(98,1),(99,1),(100,1),(129,1)}
        80:{2,3,5,6}:{(61,1),(64,1),(99,1),(100,1),(130,1)}
        81:{1,2,5,7}:{(62,1),(96,1),(98,1),(101,1),(125,1)}
        82:{3,5,7}:{(63,1),(97,1),(99,1),(102,1),(126,1),(130,1)}
        83:{2,4,7}:{(64,1),(100,1),(102,1),(138,1)}
        84:{1,3,6}:{(65,1),(68,1),(103,1),(104,1)}
        85:{1,2,4,6}:{(65,1),(66,1),(67,1),(69,1),(103,1),(104,1),(105,1),(131,1)}
        86:{1,3,5,6}:{(67,1),(70,1),(104,1),(105,1),(132,1)}
        87:{1,2,5,7}:{(68,1),(95,1),(103,1),(106,1),(124,1)}
        88:{3,5,7}:{(69,1),(97,1),(104,1),(107,1),(126,1),(132,1)}
        89:{1,4,7}:{(70,1),(105,1),(107,1),(139,1)}
        90:{1,4,5}:{(71,1),(72,1),(108,1),(136,1)}
        91:{2,4,5}:{(71,1),(73,1),(109,1),(137,1)}
        92:{1,3,4,6}:{(72,1),(75,1),(84,1),(108,1),(111,1),(113,1),(121,1),(135,1)}
        93:{2,3,4,6}:{(73,1),(76,1),(78,1),(109,1),(112,1),(113,1),(117,1),(135,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(77,1),(110,1),(113,1)}
        95:{1,2,4,7}:{(75,1),(87,1),(111,1),(114,1),(123,1)}
        96:{1,2,4,7}:{(76,1),(81,1),(112,1),(115,1),(119,1)}
        97:{3,7}:{(77,1),(113,1)}
        98:{1,2,6}:{(78,1),(81,1),(116,1)}
        99:{3,6}:{(79,1),(82,1)}
       100:{2,4,6}:{(80,1),(83,1),(117,1),(118,1)}
       101:{1,3,5,7}:{(81,1),(82,1),(115,1),(116,1),(119,1),(134,1),(136,1)}
       102:{3,4,7}:{(82,1),(83,1),(117,1),(119,1),(135,1)}
       103:{1,2,6}:{(84,1),(87,1),(120,1)}
       104:{3,6}:{(85,1),(88,1)}
       105:{1,4,6}:{(86,1),(89,1),(121,1),(122,1)}
       106:{2,3,5,7}:{(87,1),(88,1),(114,1),(120,1),(123,1),(133,1),(137,1)}
       107:{3,4,7}:{(88,1),(89,1),(121,1),(123,1),(135,1)}
       108:{1,3,5}:{(90,1),(92,1),(124,1),(126,1),(132,1)}
       109:{2,3,5}:{(91,1),(93,1),(125,1),(126,1),(130,1)}
       110:{1,2,4,5}:{(90,1),(91,1),(94,1),(124,1),(125,1),(126,1),(138,1),(139,1)}
       111:{1,2,4,6}:{(92,1),(95,1),(103,1),(124,1),(127,1),(131,1),(138,1)}
       112:{1,2,4,6}:{(93,1),(96,1),(98,1),(125,1),(128,1),(129,1),(139,1)}
       113:{3,6}:{(94,1),(97,1),(126,1)}
       114:{2,3,7}:{(95,1),(97,1),(127,1)}
       115:{1,3,7}:{(96,1),(97,1),(128,1)}
       116:{1,3,6}:{(98,1),(99,1),(101,1),(129,1)}
       117:{3,4,6}:{(99,1),(100,1),(102,1),(129,1),(130,1)}
       118:{2,4,5}:{(100,1),(130,1)}
       119:{1,4,7}:{(101,1),(102,1),(129,1),(139,1)}
       120:{2,3,6}:{(103,1),(104,1),(106,1),(131,1)}
       121:{3,4,6}:{(104,1),(105,1),(107,1),(131,1),(132,1)}
       122:{1,4,5}:{(105,1),(132,1)}
       123:{2,4,7}:{(106,1),(107,1),(131,1),(138,1)}
       124:{1,2,5}:{(108,1),(111,1),(133,1),(137,1)}
       125:{1,2,5}:{(109,1),(112,1),(134,1),(136,1)}
       126:{3,5}:{(110,1),(113,1),(135,1)}
       127:{2,3,6}:{(111,1),(113,1),(114,1),(133,1)}
       128:{1,3,6}:{(112,1),(113,1),(115,1),(134,1)}
       129:{1,4,6}:{(116,1),(117,1),(119,1),(136,1)}
       130:{3,5}:{(117,1),(118,1),(136,1)}
       131:{2,4,6}:{(120,1),(121,1),(123,1),(137,1)}
       132:{3,5}:{(121,1),(122,1),(137,1)}
       133:{2,3,5}:{(124,1),(126,1),(127,1),(138,1)}
       134:{1,3,5}:{(125,1),(126,1),(128,1),(139,1)}
       135:{3,4}:{(126,1),(138,1),(139,1)}
       136:{1,5}:{(129,1),(130,1)}
       137:{2,5}:{(131,1),(132,1)}
       138:{2,4}:{(133,1),(135,1)}
       139:{1,4}:{(134,1),(135,1)}

 981 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(30,1),(31,1),(34,1),(37,1),(38,1),(39,1),(76,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(42,1),(43,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(25,1),(50,1),(51,1),(55,1),(59,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(27,1),(28,1),(34,1)}
         4:{3,4,6}:{(1,1),(8,1),(12,1),(37,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(12,1),(62,1),(63,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(37,1),(71,1),(72,1),(76,1)}
         7:{1,2,4,5,6}:{(3,1),(15,1),(16,1),(20,1),(42,1),(43,1),(49,1),(86,1),(87,1),(88,1)}
         8:{3,5}:{(3,1),(4,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(19,1),(20,1),(25,1),(46,1),(47,1),(55,1),(60,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(21,1),(22,1),(42,1),(56,1),(78,1),(83,1),(104,1)}
        11:{2,3,4,6}:{(4,1),(18,1),(21,1),(23,1),(43,1),(57,1),(78,1),(83,1),(104,1)}
        12:{3,4,7}:{(4,1),(5,1),(19,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(24,1),(25,1),(80,1),(81,1)}
        14:{3,4,5}:{(8,1),(26,1),(27,1),(28,1),(65,1)}
        15:{3,5,6}:{(7,1),(8,1),(26,1),(32,1),(37,1)}
        16:{1,2,4,5,7}:{(7,1),(32,1),(33,1),(62,1),(63,1),(70,1),(95,1),(96,1),(97,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(34,1),(65,1),(108,1)}
        18:{2,3,5}:{(8,1),(11,1),(28,1),(34,1),(65,1),(108,1)}
        19:{3,5,7}:{(8,1),(9,1),(12,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(37,1),(38,1),(67,1),(68,1),(76,1),(77,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(34,1),(39,1),(40,1),(74,1),(76,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(35,1),(40,1),(62,1),(93,1),(98,1)}
        23:{2,3,4,7}:{(11,1),(12,1),(36,1),(40,1),(63,1),(93,1),(98,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(41,1),(77,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(41,1),(95,1),(96,1)}
        26:{3,4,6}:{(14,1),(15,1),(42,1),(43,1),(44,1),(78,1)}
        27:{1,4,5}:{(14,1),(17,1),(42,1),(111,1)}
        28:{2,4,5}:{(14,1),(18,1),(43,1),(111,1)}
        29:{3,4,5,7}:{(14,1),(19,1),(44,1),(46,1),(47,1),(48,1),(60,1),(82,1),(84,1),(110,1),(111,1)}
        30:{1,3,5,6}:{(15,1),(17,1),(42,1),(49,1),(50,1),(56,1),(78,1),(86,1),(105,1)}
        31:{2,3,5,6}:{(15,1),(18,1),(43,1),(49,1),(51,1),(57,1),(78,1),(87,1),(105,1)}
        32:{3,5,7}:{(15,1),(16,1),(44,1),(52,1)}
        33:{1,2,4,6,7}:{(16,1),(20,1),(52,1),(53,1),(80,1),(81,1),(89,1),(90,1)}
        34:{1,2,5}:{(17,1),(18,1),(21,1)}
        35:{1,3,5,7}:{(17,1),(19,1),(22,1),(46,1),(55,1),(56,1),(84,1)}
        36:{2,3,5,7}:{(18,1),(19,1),(23,1),(47,1),(55,1),(57,1),(84,1)}
        37:{3,6}:{(19,1),(20,1)}
        38:{1,2,5,6}:{(20,1),(25,1),(58,1),(86,1),(87,1)}
        39:{1,2,3,6}:{(21,1),(54,1),(59,1),(78,1)}
        40:{1,2,4,7}:{(21,1),(22,1),(23,1),(55,1),(59,1)}
        41:{3,5,7}:{(24,1),(25,1),(58,1),(60,1)}
        42:{1,4,6}:{(26,1),(27,1),(30,1),(62,1),(109,1)}
        43:{2,4,6}:{(26,1),(28,1),(31,1),(63,1),(109,1)}
        44:{3,4,7}:{(26,1),(32,1),(62,1),(63,1),(93,1)}
        45:{1,2,4,5}:{(27,1),(28,1),(34,1),(61,1),(65,1),(74,1)}
        46:{1,4,5,7}:{(27,1),(29,1),(35,1),(62,1),(67,1),(95,1)}
        47:{2,4,5,7}:{(28,1),(29,1),(36,1),(63,1),(68,1),(96,1)}
        48:{3,4,6}:{(29,1),(37,1),(67,1),(68,1),(69,1),(77,1),(99,1),(109,1)}
        49:{1,2,5,6}:{(30,1),(31,1),(34,1),(61,1),(70,1),(76,1)}
        50:{1,3,5,7}:{(30,1),(32,1),(62,1),(70,1),(71,1),(93,1),(95,1),(107,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(63,1),(70,1),(72,1),(93,1),(96,1),(107,1)}
        52:{3,6,7}:{(32,1),(33,1),(37,1)}
        53:{1,2,5,6,7}:{(33,1),(38,1),(73,1),(95,1),(96,1)}
        54:{1,2,3,5}:{(34,1),(39,1),(65,1),(74,1)}
        55:{1,2,5,7}:{(34,1),(35,1),(36,1),(40,1),(76,1)}
        56:{1,3,6}:{(35,1),(37,1),(67,1),(76,1),(99,1)}
        57:{2,3,6}:{(36,1),(37,1),(68,1),(76,1),(99,1)}
        58:{3,5,6}:{(37,1),(38,1),(41,1),(77,1)}
        59:{1,2,3,7}:{(39,1),(40,1),(93,1)}
        60:{4,5,7}:{(41,1),(77,1)}
        61:{1,2,4,6}:{(42,1),(43,1),(45,1),(49,1),(78,1),(79,1)}
        62:{1,4,7}:{(42,1),(44,1),(50,1),(110,1)}
        63:{2,4,7}:{(43,1),(44,1),(51,1),(110,1)}
        64:{3,4,6,7}:{(44,1),(48,1),(52,1),(80,1),(81,1),(82,1),(90,1),(102,1),(110,1)}
        65:{3,5}:{(45,1),(78,1),(83,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(55,1),(79,1),(84,1),(85,1),(91,1),(103,1),(106,1),(110,1),(111,1)}
        67:{1,4,6}:{(46,1),(48,1),(56,1),(86,1)}
        68:{2,4,6}:{(47,1),(48,1),(57,1),(87,1)}
        69:{3,5,6}:{(48,1),(82,1),(86,1),(87,1),(88,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(89,1)}
        71:{1,3,6,7}:{(50,1),(52,1),(56,1),(80,1),(89,1),(102,1)}
        72:{2,3,6,7}:{(51,1),(52,1),(57,1),(81,1),(89,1),(102,1)}
        73:{3,5,6,7}:{(52,1),(53,1),(58,1),(82,1),(90,1)}
        74:{1,2,4}:{(54,1),(83,1)}
        75:{1,2,3,5,7}:{(54,1),(55,1),(59,1),(84,1),(91,1),(92,1),(106,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{4,6}:{(58,1),(60,1)}
        78:{3,6}:{(61,1),(65,1),(93,1)}
        79:{1,2,4,7}:{(61,1),(62,1),(63,1),(70,1),(93,1)}
        80:{1,4,6,7}:{(62,1),(64,1),(67,1),(71,1),(95,1)}
        81:{2,4,6,7}:{(63,1),(64,1),(68,1),(72,1),(96,1)}
        82:{3,5,7}:{(64,1),(69,1),(95,1),(96,1),(97,1)}
        83:{3,4}:{(65,1),(74,1)}
        84:{3,5,7}:{(65,1),(66,1),(93,1),(98,1),(99,1),(108,1)}
        85:{1,2,4,6}:{(66,1),(67,1),(68,1),(76,1),(99,1),(100,1),(109,1)}
        86:{1,5,6}:{(67,1),(69,1),(95,1)}
        87:{2,5,6}:{(68,1),(69,1),(96,1)}
        88:{4,5,6}:{(69,1),(77,1),(97,1),(109,1)}
        89:{1,2,6,7}:{(70,1),(71,1),(72,1),(76,1)}
        90:{4,6,7}:{(73,1),(77,1),(97,1)}
        91:{1,2,4,7}:{(74,1),(75,1),(98,1),(101,1)}
        92:{1,2,3,6}:{(75,1),(76,1),(99,1),(101,1)}
        93:{3,7}:{(78,1),(79,1)}
        94:{1,2,4,6,7}:{(79,1),(80,1),(81,1),(85,1),(89,1),(102,1),(103,1),(110,1)}
        95:{1,5,7}:{(80,1),(82,1),(86,1)}
        96:{2,5,7}:{(81,1),(82,1),(87,1)}
        97:{4,5,7}:{(82,1),(88,1),(90,1),(110,1)}
        98:{3,4,7}:{(83,1),(84,1),(91,1),(104,1),(110,1)}
        99:{3,6}:{(84,1),(85,1)}
       100:{1,2,5,6}:{(85,1),(86,1),(87,1),(103,1),(105,1),(106,1)}
       101:{1,2,4,6}:{(91,1),(92,1),(104,1),(106,1)}
       102:{3,6,7}:{(93,1),(94,1),(99,1),(107,1)}
       103:{1,2,5,7}:{(94,1),(95,1),(96,1),(100,1),(107,1)}
       104:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       105:{3,5,6}:{(99,1),(100,1),(107,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(108,1)}
       107:{3,5,7}:{(102,1),(103,1),(105,1),(110,1)}
       108:{3,5}:{(104,1),(106,1),(111,1)}
       109:{4,6}:{(105,1),(110,1),(111,1)}
       110:{4,7}:{(107,1),(109,1)}
       111:{4,5}:{(108,1),(109,1)}

 982 :   0:{1,2,3,6,7}:{(2,1),(3,1),(37,1),(71,1),(72,1),(76,1),(80,1),(104,1)}
         1:{1,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(37,1),(41,1),(45,1),(71,1),(95,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(6,1),(8,1),(22,1),(61,1),(64,1),(83,1),(88,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(23,1),(57,1),(62,1),(86,1),(87,1),(93,1)}
         4:{1,3,5,7}:{(1,1),(6,1),(9,1),(10,1),(23,1),(59,1),(63,1)}
         5:{2,3,4,6,7}:{(2,1),(11,1),(15,1),(33,1),(37,1),(42,1),(67,1),(72,1),(96,1),(104,1)}
         6:{1,2,5,7}:{(2,1),(4,1),(11,1),(12,1),(79,1),(81,1),(94,1)}
         7:{1,2,3,5,6}:{(3,1),(12,1),(14,1),(37,1),(40,1),(74,1),(75,1),(76,1),(79,1),(80,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(95,1),(96,1),(100,1)}
         9:{1,3,5,6}:{(4,1),(12,1),(17,1),(37,1),(46,1)}
        10:{1,4,5,7}:{(4,1),(17,1),(18,1),(77,1),(95,1)}
        11:{2,3,5,7}:{(5,1),(6,1),(19,1),(20,1),(23,1),(60,1),(82,1)}
        12:{1,2,5,6}:{(6,1),(9,1),(19,1),(22,1),(65,1),(84,1)}
        13:{1,2,4,5,7}:{(6,1),(8,1),(10,1),(20,1),(22,1),(23,1),(24,1),(31,1),(51,1),(57,1),(92,1),(101,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(89,1),(90,1)}
        15:{3,4,7}:{(8,1),(23,1),(25,1),(103,1)}
        16:{1,3,5,6,7}:{(9,1),(21,1),(28,1),(53,1),(63,1),(86,1)}
        17:{1,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(23,1),(30,1),(31,1),(58,1),(63,1),(85,1)}
        19:{2,3,5,6}:{(11,1),(12,1),(33,1),(37,1),(68,1)}
        20:{2,4,5,7}:{(11,1),(33,1),(34,1),(78,1),(96,1)}
        21:{1,2,5,6,7}:{(12,1),(16,1),(32,1),(35,1),(81,1),(94,1),(97,1)}
        22:{1,2,4,6}:{(12,1),(13,1),(17,1),(33,1),(37,1),(47,1),(69,1),(76,1)}
        23:{3,5,7}:{(13,1),(15,1),(37,1),(40,1),(99,1),(104,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(77,1),(78,1),(79,1)}
        25:{3,4,6}:{(14,1),(15,1),(37,1),(40,1)}
        26:{1,3,4,7}:{(15,1),(38,1),(41,1),(43,1),(95,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(39,1),(42,1),(43,1),(96,1),(104,1)}
        28:{1,4,6,7}:{(16,1),(17,1),(44,1),(45,1),(95,1)}
        29:{1,4,5,6}:{(17,1),(44,1),(46,1)}
        30:{3,4,6}:{(17,1),(18,1),(37,1),(46,1),(47,1)}
        31:{2,4,5,7}:{(18,1),(39,1),(47,1),(78,1),(81,1),(96,1)}
        32:{2,3,5,6,7}:{(19,1),(21,1),(48,1),(53,1),(82,1),(87,1)}
        33:{2,4,6}:{(19,1),(20,1),(50,1)}
        34:{3,4,5,7}:{(20,1),(23,1),(50,1),(51,1),(58,1),(82,1),(85,1)}
        35:{1,2,4,6,7}:{(21,1),(22,1),(28,1),(48,1),(52,1),(53,1),(64,1),(83,1),(88,1),(101,1)}
        36:{1,2,4,5,6}:{(22,1),(24,1),(29,1),(49,1),(52,1),(54,1),(65,1),(84,1),(89,1),(90,1),(91,1)}
        37:{3,6}:{(22,1),(23,1)}
        38:{1,3,5,7}:{(23,1),(26,1),(51,1),(55,1),(57,1),(59,1)}
        39:{2,3,5,7}:{(23,1),(27,1),(31,1),(56,1),(57,1),(60,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(55,1),(59,1),(61,1),(89,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(27,1),(56,1),(60,1),(61,1),(90,1),(102,1),(103,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(57,1),(61,1),(62,1)}
        44:{1,4,5,7}:{(28,1),(29,1),(63,1)}
        45:{3,4,6,7}:{(28,1),(30,1),(53,1),(63,1),(64,1),(85,1)}
        46:{3,5,6}:{(29,1),(30,1),(63,1),(65,1)}
        47:{2,4,6}:{(30,1),(31,1),(56,1),(65,1)}
        48:{2,4,6,7}:{(32,1),(33,1),(66,1),(67,1),(96,1)}
        49:{2,4,5,6}:{(33,1),(66,1),(68,1)}
        50:{3,4,6}:{(33,1),(34,1),(37,1),(68,1),(69,1)}
        51:{1,4,5,7}:{(34,1),(38,1),(69,1),(77,1),(94,1),(95,1)}
        52:{1,2,4,5,7}:{(35,1),(36,1),(44,1),(66,1),(70,1),(81,1),(94,1),(95,1),(96,1),(97,1)}
        53:{3,6,7}:{(35,1),(37,1),(70,1),(104,1)}
        54:{3,5,6}:{(36,1),(37,1),(40,1),(70,1),(73,1)}
        55:{1,3,6}:{(37,1),(38,1),(69,1),(76,1)}
        56:{2,3,6}:{(37,1),(39,1),(47,1),(76,1)}
        57:{1,2,5,7}:{(38,1),(39,1),(43,1),(76,1),(79,1)}
        58:{3,4,5}:{(40,1),(73,1),(77,1),(78,1),(99,1)}
        59:{1,3,5}:{(40,1),(41,1),(77,1),(79,1),(99,1)}
        60:{2,3,5}:{(40,1),(42,1),(78,1),(79,1),(99,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(43,1),(76,1),(79,1),(80,1),(100,1)}
        62:{1,2,3,7}:{(43,1),(80,1),(104,1)}
        63:{3,5,7}:{(44,1),(45,1),(46,1),(81,1)}
        64:{2,4,6,7}:{(45,1),(47,1),(72,1),(81,1),(96,1)}
        65:{2,5,6}:{(46,1),(47,1),(81,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(82,1)}
        67:{3,4,6,7}:{(48,1),(50,1),(53,1),(82,1),(83,1),(85,1)}
        68:{3,5,6}:{(49,1),(50,1),(82,1),(84,1)}
        69:{1,4,6}:{(50,1),(51,1),(55,1),(84,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{1,3,6,7}:{(53,1),(55,1),(83,1),(86,1),(88,1)}
        72:{2,3,6,7}:{(53,1),(56,1),(64,1),(87,1),(88,1)}
        73:{3,4,6}:{(54,1),(58,1),(85,1),(89,1),(90,1),(102,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(59,1),(84,1),(86,1),(89,1),(91,1),(102,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(60,1),(65,1),(87,1),(90,1),(91,1),(102,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{1,4,5}:{(58,1),(59,1),(89,1)}
        78:{2,4,5}:{(58,1),(60,1),(90,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(62,1),(93,1),(102,1)}
        81:{2,5,7}:{(63,1),(64,1),(65,1)}
        82:{3,5,7}:{(66,1),(67,1),(68,1),(94,1)}
        83:{1,4,6,7}:{(67,1),(69,1),(71,1),(94,1),(95,1)}
        84:{1,5,6}:{(68,1),(69,1),(94,1)}
        85:{3,4,7}:{(70,1),(73,1),(95,1),(96,1),(104,1)}
        86:{1,3,5,7}:{(70,1),(71,1),(74,1),(94,1),(95,1),(97,1),(104,1)}
        87:{2,3,5,7}:{(70,1),(72,1),(75,1),(81,1),(96,1),(97,1),(104,1)}
        88:{1,2,6,7}:{(71,1),(72,1),(76,1),(97,1)}
        89:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        90:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        91:{1,2,5,6}:{(74,1),(75,1),(76,1),(79,1),(97,1),(98,1)}
        92:{1,2,4,5}:{(77,1),(78,1),(79,1),(98,1),(99,1),(100,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(99,1),(100,1)}
        94:{1,5,7}:{(82,1),(83,1),(84,1)}
        95:{1,4,7}:{(85,1),(86,1),(89,1)}
        96:{2,4,7}:{(85,1),(87,1),(90,1)}
        97:{1,2,5,7}:{(86,1),(87,1),(88,1),(91,1),(101,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(92,1),(101,1),(102,1)}
        99:{3,5}:{(92,1),(102,1),(103,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       102:{3,6}:{(98,1),(99,1),(104,1)}
       103:{3,4}:{(99,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

 983 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(61,1),(114,1)}
         1:{1,3,4,6}:{(4,1),(5,1),(6,1),(17,1),(25,1),(26,1),(59,1),(61,1)}
         2:{1,2,3,5}:{(0,1),(9,1),(11,1),(31,1),(35,1),(83,1)}
         3:{1,2,3,7}:{(0,1),(10,1),(92,1),(143,1),(184,1)}
         4:{1,2,4,6}:{(0,1),(1,1),(7,1),(9,1),(10,1),(11,1),(39,1)}
         5:{1,3,4,7}:{(1,1),(10,1),(13,1),(34,1),(46,1),(92,1),(186,1)}
         6:{1,3,5}:{(1,1),(11,1),(12,1),(35,1),(90,1)}
         7:{2,3,4,6}:{(4,1),(15,1),(16,1),(17,1),(50,1),(51,1),(59,1),(61,1)}
         8:{1,2,3,5,7}:{(2,1),(3,1),(18,1),(19,1),(21,1),(53,1),(60,1),(62,1),(111,1),(113,1)}
         9:{1,2,4}:{(2,1),(17,1)}
        10:{1,2,4,7}:{(3,1),(4,1),(5,1),(15,1),(21,1),(203,1)}
        11:{1,2,5}:{(4,1),(6,1),(16,1)}
        12:{1,4,5}:{(6,1),(23,1),(25,1),(121,1)}
        13:{1,3,5,7}:{(5,1),(6,1),(21,1),(24,1),(26,1),(60,1),(205,1),(228,1)}
        14:{1,3,5,6}:{(6,1),(22,1),(25,1),(26,1),(27,1),(61,1),(66,1),(72,1),(122,1)}
        15:{2,3,4,7}:{(7,1),(10,1),(29,1),(34,1),(79,1),(92,1),(185,1)}
        16:{2,3,5}:{(7,1),(11,1),(28,1),(35,1),(90,1)}
        17:{3,4}:{(9,1),(35,1)}
        18:{1,2,3,6}:{(8,1),(36,1),(39,1),(91,1),(142,1)}
        19:{1,2,4,7}:{(8,1),(9,1),(34,1),(36,1),(140,1)}
        20:{1,2,4,5}:{(9,1),(11,1),(12,1),(28,1),(35,1),(38,1),(42,1),(75,1),(83,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(13,1),(29,1),(39,1),(217,1),(230,1)}
        22:{1,2,5,6}:{(11,1),(14,1),(30,1),(38,1),(39,1),(40,1),(95,1),(132,1)}
        23:{3,4,5}:{(12,1),(35,1),(42,1),(44,1)}
        24:{1,4,5,7}:{(12,1),(13,1),(43,1),(45,1),(46,1),(102,1),(190,1),(221,1)}
        25:{1,4,6}:{(12,1),(14,1),(44,1),(46,1),(150,1)}
        26:{1,3,6}:{(13,1),(39,1),(45,1),(91,1)}
        27:{1,3,5,7}:{(14,1),(40,1),(46,1),(47,1),(92,1),(96,1),(102,1),(151,1)}
        28:{2,4,5}:{(16,1),(48,1),(50,1),(121,1)}
        29:{2,3,5,7}:{(15,1),(16,1),(21,1),(49,1),(51,1),(60,1),(204,1),(227,1)}
        30:{2,3,5,6}:{(16,1),(22,1),(50,1),(51,1),(52,1),(61,1),(103,1),(109,1),(122,1)}
        31:{1,2,3}:{(54,1)}
        32:{2,3,4}:{(17,1),(54,1),(56,1)}
        33:{1,3,4}:{(17,1),(54,1),(58,1)}
        34:{3,4,7}:{(17,1),(19,1),(59,1),(60,1),(164,1),(174,1)}
        35:{3,5}:{(17,1),(20,1),(61,1)}
        36:{1,2,4,6}:{(18,1),(19,1),(59,1),(62,1)}
        37:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(24,1),(49,1),(60,1),(62,1),(63,1),(64,1),(68,1),(105,1),(113,1),(121,1),(124,1),(165,1),(174,1),(207,1)}
        38:{1,2,4,6}:{(20,1),(22,1),(25,1),(50,1),(61,1),(64,1),(69,1),(106,1),(114,1)}
        39:{1,2,6}:{(21,1),(26,1),(51,1)}
        40:{1,2,5,7}:{(22,1),(27,1),(52,1),(64,1),(65,1),(125,1),(157,1)}
        41:{1,4,5,6}:{(25,1),(66,1),(67,1),(72,1),(130,1)}
        42:{2,4,5}:{(23,1),(56,1),(69,1)}
        43:{3,4,5,7}:{(23,1),(24,1),(60,1),(68,1),(70,1),(71,1),(121,1),(131,1),(168,1),(174,1),(209,1)}
        44:{3,4,6}:{(23,1),(25,1),(61,1),(66,1),(69,1),(71,1)}
        45:{1,4,6}:{(24,1),(26,1),(70,1),(72,1)}
        46:{1,4,7}:{(25,1),(27,1),(71,1),(174,1)}
        47:{1,3,6,7}:{(26,1),(27,1),(65,1),(73,1),(123,1),(126,1),(228,1)}
        48:{3,4,5}:{(28,1),(35,1),(75,1),(77,1)}
        49:{2,4,5,7}:{(28,1),(29,1),(76,1),(78,1),(79,1),(139,1),(193,1),(222,1)}
        50:{2,4,6}:{(28,1),(30,1),(77,1),(79,1),(150,1)}
        51:{2,3,6}:{(29,1),(39,1),(78,1),(91,1)}
        52:{2,3,5,7}:{(30,1),(40,1),(79,1),(80,1),(92,1),(133,1),(139,1),(151,1)}
        53:{1,2,3,7}:{(31,1),(81,1),(82,1),(220,1),(230,1)}
        54:{1,2,4}:{(31,1),(32,1),(33,1),(83,1)}
        55:{2,3,4,7}:{(32,1),(34,1),(82,1),(84,1),(85,1),(192,1),(220,1)}
        56:{2,3,5}:{(32,1),(35,1),(42,1),(83,1),(86,1)}
        57:{1,3,4,7}:{(33,1),(34,1),(82,1),(87,1),(88,1),(195,1),(220,1)}
        58:{1,3,5}:{(33,1),(35,1),(75,1),(83,1),(89,1)}
        59:{3,4,6}:{(34,1),(36,1),(90,1),(91,1),(150,1)}
        60:{3,5,7}:{(34,1),(35,1),(37,1),(90,1),(91,1),(92,1),(187,1),(220,1)}
        61:{3,6}:{(35,1),(38,1),(92,1)}
        62:{1,2,5}:{(36,1),(90,1)}
        63:{1,2,4,6}:{(37,1),(39,1),(45,1),(78,1),(91,1),(93,1),(98,1),(135,1),(142,1),(150,1)}
        64:{1,2,4,7}:{(38,1),(40,1),(46,1),(79,1),(92,1),(99,1),(136,1),(143,1)}
        65:{1,2,6,7}:{(39,1),(40,1),(47,1),(80,1),(152,1),(179,1),(230,1)}
        66:{3,5,6}:{(41,1),(44,1),(95,1),(96,1)}
        67:{1,4,5,7}:{(41,1),(46,1),(96,1),(97,1),(102,1),(156,1)}
        68:{2,4,5,7}:{(42,1),(43,1),(85,1),(98,1),(99,1),(144,1),(155,1),(192,1)}
        69:{2,4,6}:{(42,1),(44,1),(86,1),(95,1),(99,1)}
        70:{3,4,6}:{(43,1),(45,1),(91,1),(98,1),(100,1),(150,1)}
        71:{3,4,7}:{(44,1),(46,1),(92,1),(96,1),(99,1)}
        72:{1,5,6}:{(45,1),(100,1),(102,1)}
        73:{1,4,6,7}:{(45,1),(46,1),(47,1),(101,1),(102,1),(221,1),(223,1)}
        74:{2,4,5,6}:{(50,1),(103,1),(104,1),(109,1),(162,1)}
        75:{1,4,5}:{(48,1),(58,1),(106,1)}
        76:{3,4,5,7}:{(48,1),(49,1),(60,1),(105,1),(107,1),(108,1),(121,1),(163,1),(171,1),(174,1),(211,1)}
        77:{3,4,6}:{(48,1),(50,1),(61,1),(103,1),(106,1),(108,1)}
        78:{2,4,6}:{(49,1),(51,1),(107,1),(109,1)}
        79:{2,4,7}:{(50,1),(52,1),(108,1),(174,1)}
        80:{2,3,6,7}:{(51,1),(52,1),(65,1),(110,1),(123,1),(158,1),(227,1)}
        81:{1,2,3,6}:{(53,1),(111,1),(112,1),(206,1),(226,1)}
        82:{1,2,4,7}:{(53,1),(54,1),(55,1),(57,1),(112,1),(113,1)}
        83:{1,2,5}:{(54,1),(56,1),(58,1),(114,1)}
        84:{2,3,4,6}:{(55,1),(59,1),(112,1),(115,1),(116,1),(164,1),(169,1),(206,1)}
        85:{2,3,5,7}:{(55,1),(56,1),(60,1),(68,1),(113,1),(115,1),(116,1),(117,1)}
        86:{2,3,6}:{(56,1),(61,1),(69,1),(114,1),(117,1)}
        87:{1,3,4,6}:{(57,1),(59,1),(112,1),(118,1),(119,1),(164,1),(172,1),(206,1)}
        88:{1,3,5,7}:{(57,1),(58,1),(60,1),(105,1),(113,1),(118,1),(119,1),(120,1)}
        89:{1,3,6}:{(58,1),(61,1),(106,1),(114,1),(120,1)}
        90:{3,5}:{(59,1),(62,1),(121,1)}
        91:{3,6}:{(60,1),(63,1)}
        92:{3,7}:{(61,1),(64,1)}
        93:{1,2,5,6}:{(62,1),(63,1),(72,1),(109,1),(122,1),(124,1),(128,1),(160,1)}
        94:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(73,1),(110,1),(123,1),(124,1),(129,1),(161,1),(167,1),(174,1),(207,1)}
        95:{2,5,6}:{(66,1),(69,1),(125,1)}
        96:{3,5,7}:{(66,1),(67,1),(71,1),(125,1),(126,1)}
        97:{1,4,6,7}:{(67,1),(126,1),(127,1),(176,1)}
        98:{2,4,6}:{(68,1),(70,1),(116,1),(128,1)}
        99:{2,4,7}:{(69,1),(71,1),(117,1),(125,1)}
       100:{3,5,6}:{(70,1),(72,1),(128,1),(130,1),(131,1)}
       101:{3,4,6,7}:{(70,1),(71,1),(73,1),(123,1),(126,1),(129,1),(131,1),(174,1),(176,1),(209,1),(212,1)}
       102:{1,5,7}:{(72,1),(73,1),(131,1)}
       103:{3,5,6}:{(74,1),(77,1),(132,1),(133,1)}
       104:{2,4,5,7}:{(74,1),(79,1),(133,1),(134,1),(139,1),(183,1)}
       105:{1,4,5,7}:{(75,1),(76,1),(88,1),(135,1),(136,1),(147,1),(182,1),(195,1)}
       106:{1,4,6}:{(75,1),(77,1),(89,1),(132,1),(136,1)}
       107:{3,4,6}:{(76,1),(78,1),(91,1),(135,1),(137,1),(150,1)}
       108:{3,4,7}:{(77,1),(79,1),(92,1),(133,1),(136,1)}
       109:{2,5,6}:{(78,1),(137,1),(139,1)}
       110:{2,4,6,7}:{(78,1),(79,1),(80,1),(138,1),(139,1),(222,1),(229,1)}
       111:{1,2,3,5}:{(81,1),(140,1),(141,1),(184,1),(187,1),(217,1)}
       112:{1,2,4,6}:{(81,1),(82,1),(84,1),(87,1),(140,1),(141,1),(142,1)}
       113:{1,2,5,7}:{(82,1),(83,1),(85,1),(88,1),(141,1),(142,1),(143,1)}
       114:{1,2,6}:{(83,1),(86,1),(89,1),(143,1)}
       115:{2,3,5}:{(84,1),(90,1),(141,1),(144,1),(187,1)}
       116:{2,3,6}:{(85,1),(91,1),(98,1),(142,1)}
       117:{2,3,7}:{(86,1),(92,1),(99,1),(143,1)}
       118:{1,3,5}:{(87,1),(90,1),(141,1),(147,1),(187,1)}
       119:{1,3,6}:{(88,1),(91,1),(135,1),(142,1)}
       120:{1,3,7}:{(89,1),(92,1),(136,1),(143,1)}
       121:{4,5}:{(90,1),(150,1)}
       122:{3,5,6}:{(90,1),(91,1),(93,1),(150,1),(151,1)}
       123:{3,6,7}:{(91,1),(92,1),(94,1),(151,1),(220,1)}
       124:{1,2,5,7}:{(93,1),(94,1),(102,1),(139,1),(151,1),(155,1),(182,1)}
       125:{2,5,7}:{(95,1),(96,1),(99,1),(152,1)}
       126:{3,6,7}:{(96,1),(97,1),(152,1)}
       127:{1,5,6,7}:{(97,1),(102,1),(153,1),(223,1)}
       128:{2,5,6}:{(98,1),(100,1),(155,1)}
       129:{2,4,6,7}:{(98,1),(99,1),(101,1),(146,1),(152,1),(155,1),(192,1)}
       130:{4,5,6}:{(100,1),(150,1),(156,1)}
       131:{3,5,7}:{(100,1),(101,1),(102,1),(155,1),(156,1)}
       132:{1,5,6}:{(103,1),(106,1),(157,1)}
       133:{3,5,7}:{(103,1),(104,1),(108,1),(157,1),(158,1)}
       134:{2,4,6,7}:{(104,1),(158,1),(159,1),(200,1)}
       135:{1,4,6}:{(105,1),(107,1),(119,1),(160,1)}
       136:{1,4,7}:{(106,1),(108,1),(120,1),(157,1)}
       137:{3,5,6}:{(107,1),(109,1),(160,1),(162,1),(163,1)}
       138:{3,4,6,7}:{(107,1),(108,1),(110,1),(123,1),(158,1),(161,1),(163,1),(174,1),(200,1),(211,1),(224,1)}
       139:{2,5,7}:{(109,1),(110,1),(163,1)}
       140:{1,2,4}:{(111,1),(164,1)}
       141:{1,2,5}:{(112,1),(115,1),(118,1)}
       142:{1,2,6}:{(113,1),(116,1),(119,1)}
       143:{1,2,7}:{(114,1),(117,1),(120,1)}
       144:{2,4,5}:{(115,1),(121,1),(168,1),(169,1)}
       145:{2,3,5,6}:{(115,1),(116,1),(122,1),(128,1),(166,1),(169,1),(170,1),(177,1),(206,1)}
       146:{2,3,6,7}:{(116,1),(117,1),(123,1),(129,1),(167,1),(170,1),(212,1)}
       147:{1,4,5}:{(118,1),(121,1),(171,1),(172,1)}
       148:{1,3,5,6}:{(118,1),(119,1),(122,1),(160,1),(166,1),(172,1),(173,1),(201,1),(206,1)}
       149:{1,3,6,7}:{(119,1),(120,1),(123,1),(161,1),(167,1),(173,1),(224,1)}
       150:{4,6}:{(121,1),(122,1),(174,1)}
       151:{3,5,7}:{(122,1),(123,1),(124,1),(174,1)}
       152:{2,6,7}:{(125,1),(126,1)}
       153:{3,5,6,7}:{(126,1),(127,1),(131,1),(175,1),(176,1),(212,1)}
       154:{2,4,5,6}:{(128,1),(130,1),(169,1),(177,1),(178,1)}
       155:{2,5,7}:{(128,1),(129,1),(131,1)}
       156:{4,5,7}:{(130,1),(131,1),(174,1),(176,1)}
       157:{1,5,7}:{(132,1),(133,1),(136,1),(179,1)}
       158:{3,6,7}:{(133,1),(134,1),(179,1)}
       159:{2,5,6,7}:{(134,1),(139,1),(180,1),(229,1)}
       160:{1,5,6}:{(135,1),(137,1),(182,1)}
       161:{1,4,6,7}:{(135,1),(136,1),(138,1),(149,1),(179,1),(182,1),(195,1)}
       162:{4,5,6}:{(137,1),(150,1),(183,1)}
       163:{3,5,7}:{(137,1),(138,1),(139,1),(182,1),(183,1)}
       164:{3,4}:{(140,1),(187,1)}
       165:{1,2,4,5}:{(140,1),(141,1),(144,1),(147,1),(187,1),(188,1),(190,1),(193,1),(217,1)}
       166:{1,2,5,6}:{(141,1),(142,1),(145,1),(148,1),(188,1),(189,1),(197,1),(215,1)}
       167:{1,2,6,7}:{(142,1),(143,1),(146,1),(149,1),(189,1),(223,1),(229,1)}
       168:{3,4,5}:{(144,1),(187,1),(190,1),(191,1)}
       169:{2,4,6}:{(144,1),(145,1),(150,1),(191,1),(192,1)}
       170:{2,3,5,7}:{(145,1),(146,1),(151,1),(155,1),(189,1),(192,1),(198,1),(220,1)}
       171:{3,4,5}:{(147,1),(187,1),(193,1),(194,1)}
       172:{1,4,6}:{(147,1),(148,1),(150,1),(194,1),(195,1)}
       173:{1,3,5,7}:{(148,1),(149,1),(151,1),(182,1),(189,1),(195,1),(216,1),(220,1)}
       174:{4,7}:{(150,1),(151,1)}
       175:{2,5,6,7}:{(152,1),(153,1),(155,1),(196,1)}
       176:{4,6,7}:{(153,1),(156,1)}
       177:{3,5,6}:{(154,1),(191,1),(197,1),(198,1)}
       178:{2,4,5,7}:{(154,1),(155,1),(156,1),(192,1),(196,1),(198,1)}
       179:{1,6,7}:{(157,1),(158,1)}
       180:{3,5,6,7}:{(158,1),(159,1),(163,1),(199,1),(200,1),(224,1)}
       181:{1,4,5,6}:{(160,1),(162,1),(172,1),(201,1),(202,1)}
       182:{1,5,7}:{(160,1),(161,1),(163,1)}
       183:{4,5,7}:{(162,1),(163,1),(174,1),(200,1)}
       184:{1,2,3}:{(203,1)}
       185:{2,3,4}:{(164,1),(203,1),(204,1)}
       186:{1,3,4}:{(164,1),(203,1),(205,1)}
       187:{3,5}:{(164,1),(165,1),(206,1)}
       188:{1,2,4,6}:{(165,1),(166,1),(169,1),(172,1),(206,1),(207,1),(208,1),(210,1),(226,1)}
       189:{1,2,5,7}:{(166,1),(167,1),(170,1),(173,1),(207,1),(213,1),(225,1)}
       190:{1,4,5}:{(168,1),(205,1),(208,1)}
       191:{3,4,6}:{(168,1),(169,1),(177,1),(206,1),(208,1),(209,1)}
       192:{2,4,7}:{(169,1),(170,1),(174,1),(209,1)}
       193:{2,4,5}:{(171,1),(204,1),(210,1)}
       194:{3,4,6}:{(171,1),(172,1),(201,1),(206,1),(210,1),(211,1)}
       195:{1,4,7}:{(172,1),(173,1),(174,1),(211,1)}
       196:{2,4,6,7}:{(175,1),(176,1),(178,1),(212,1)}
       197:{1,5,6}:{(177,1),(208,1),(213,1)}
       198:{3,5,7}:{(177,1),(178,1),(209,1),(212,1),(213,1)}
       199:{1,5,6,7}:{(179,1),(180,1),(182,1),(214,1)}
       200:{4,6,7}:{(180,1),(183,1)}
       201:{3,5,6}:{(181,1),(194,1),(215,1),(216,1)}
       202:{1,4,5,7}:{(181,1),(182,1),(183,1),(195,1),(214,1),(216,1)}
       203:{1,2,4}:{(184,1),(185,1),(186,1),(217,1)}
       204:{2,3,5}:{(185,1),(187,1),(193,1),(217,1),(218,1)}
       205:{1,3,5}:{(186,1),(187,1),(190,1),(217,1),(219,1)}
       206:{3,6}:{(187,1),(188,1),(220,1)}
       207:{1,2,4,7}:{(188,1),(189,1),(192,1),(195,1),(220,1),(221,1),(222,1),(230,1)}
       208:{1,4,6}:{(190,1),(191,1),(197,1),(219,1),(221,1)}
       209:{3,4,7}:{(191,1),(192,1),(198,1),(220,1),(221,1)}
       210:{2,4,6}:{(193,1),(194,1),(215,1),(218,1),(222,1)}
       211:{3,4,7}:{(194,1),(195,1),(216,1),(220,1),(222,1)}
       212:{3,6,7}:{(196,1),(198,1),(223,1)}
       213:{1,5,7}:{(197,1),(198,1),(221,1),(223,1)}
       214:{1,4,6,7}:{(199,1),(200,1),(202,1),(224,1)}
       215:{2,5,6}:{(201,1),(210,1),(225,1)}
       216:{3,5,7}:{(201,1),(202,1),(211,1),(224,1),(225,1)}
       217:{1,2,5}:{(203,1),(204,1),(205,1),(226,1)}
       218:{2,3,6}:{(204,1),(206,1),(210,1),(226,1),(227,1)}
       219:{1,3,6}:{(205,1),(206,1),(208,1),(226,1),(228,1)}
       220:{3,7}:{(206,1),(207,1)}
       221:{1,4,7}:{(208,1),(209,1),(213,1),(228,1)}
       222:{2,4,7}:{(210,1),(211,1),(225,1),(227,1)}
       223:{1,6,7}:{(212,1),(213,1)}
       224:{3,6,7}:{(214,1),(216,1),(229,1)}
       225:{2,5,7}:{(215,1),(216,1),(222,1),(229,1)}
       226:{1,2,6}:{(217,1),(218,1),(219,1),(230,1)}
       227:{2,3,7}:{(218,1),(220,1),(222,1),(230,1)}
       228:{1,3,7}:{(219,1),(220,1),(221,1),(230,1)}
       229:{2,6,7}:{(224,1),(225,1)}
       230:{1,2,7}:{(226,1),(227,1),(228,1)}

 984 :   0:{1,2,3,7}:{(3,1),(4,1),(133,1),(179,1),(191,1)}
         1:{1,3,4,7}:{(4,1),(5,1),(6,1),(18,1),(78,1),(133,1),(181,1)}
         2:{1,2,3,5,7}:{(0,1),(8,1),(9,1),(10,1),(12,1),(32,1),(36,1),(37,1),(86,1),(88,1)}
         3:{1,2,3,6}:{(0,1),(10,1),(11,1),(100,1),(162,1)}
         4:{1,2,4,7}:{(0,1),(1,1),(7,1),(11,1),(12,1),(202,1)}
         5:{1,3,4,6}:{(1,1),(11,1),(14,1),(15,1),(35,1),(39,1),(48,1),(100,1)}
         6:{1,3,5,7}:{(1,1),(12,1),(13,1),(14,1),(15,1),(36,1),(204,1),(228,1)}
         7:{2,3,4,7}:{(4,1),(16,1),(17,1),(18,1),(118,1),(133,1),(180,1)}
         8:{1,2,3,6}:{(2,1),(19,1),(23,1),(62,1),(121,1)}
         9:{1,2,4,7}:{(2,1),(18,1),(19,1),(21,1),(119,1)}
        10:{1,2,3,5}:{(3,1),(21,1),(22,1),(65,1),(68,1),(130,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(5,1),(16,1),(21,1),(22,1),(23,1)}
        12:{1,2,5,7}:{(4,1),(6,1),(17,1),(22,1),(23,1),(217,1),(230,1)}
        13:{1,4,5,7}:{(6,1),(24,1),(25,1),(26,1),(75,1),(78,1),(185,1),(221,1)}
        14:{1,3,5}:{(5,1),(22,1),(26,1),(61,1),(68,1)}
        15:{1,3,6}:{(6,1),(23,1),(25,1),(62,1)}
        16:{2,3,4,6}:{(7,1),(11,1),(30,1),(31,1),(35,1),(39,1),(84,1),(100,1)}
        17:{2,3,5,7}:{(7,1),(12,1),(29,1),(30,1),(31,1),(36,1),(203,1),(227,1)}
        18:{3,4,7}:{(9,1),(35,1),(36,1),(39,1),(151,1),(161,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(35,1),(37,1)}
        20:{1,2,4,5,7}:{(9,1),(12,1),(13,1),(29,1),(36,1),(37,1),(38,1),(40,1),(43,1),(79,1),(88,1),(93,1),(96,1),(101,1),(152,1),(161,1),(206,1)}
        21:{1,2,4}:{(10,1),(39,1)}
        22:{1,2,5}:{(11,1),(14,1),(30,1)}
        23:{1,2,6}:{(12,1),(15,1),(31,1)}
        24:{3,4,5,7}:{(13,1),(36,1),(43,1),(44,1),(47,1),(93,1),(105,1),(110,1),(155,1),(161,1),(208,1)}
        25:{1,4,6}:{(13,1),(15,1),(44,1),(45,1)}
        26:{1,4,5}:{(14,1),(47,1),(48,1),(93,1)}
        27:{1,3,5,6}:{(14,1),(15,1),(41,1),(45,1),(48,1),(49,1),(94,1),(100,1),(107,1)}
        28:{1,3,6,7}:{(15,1),(42,1),(46,1),(49,1),(95,1),(169,1),(228,1)}
        29:{2,4,5,7}:{(17,1),(50,1),(51,1),(52,1),(115,1),(118,1),(188,1),(222,1)}
        30:{2,3,5}:{(16,1),(22,1),(52,1),(61,1),(68,1)}
        31:{2,3,6}:{(17,1),(23,1),(51,1),(62,1)}
        32:{1,2,3,7}:{(55,1),(56,1),(65,1),(220,1),(230,1)}
        33:{2,3,4,7}:{(18,1),(56,1),(57,1),(58,1),(66,1),(187,1),(220,1)}
        34:{1,3,4,7}:{(18,1),(56,1),(59,1),(60,1),(67,1),(190,1),(220,1)}
        35:{3,4,6}:{(18,1),(19,1),(61,1),(62,1),(128,1)}
        36:{3,5,7}:{(18,1),(20,1),(61,1),(62,1),(68,1),(133,1),(182,1),(220,1)}
        37:{1,2,5}:{(19,1),(61,1)}
        38:{1,2,4,6}:{(20,1),(23,1),(25,1),(51,1),(62,1),(63,1),(71,1),(111,1),(121,1),(128,1)}
        39:{3,4}:{(21,1),(68,1)}
        40:{1,2,4,5}:{(21,1),(22,1),(26,1),(52,1),(68,1),(69,1),(76,1),(116,1),(130,1)}
        41:{1,2,5,6}:{(22,1),(23,1),(27,1),(53,1),(69,1),(70,1),(139,1),(176,1)}
        42:{1,2,6,7}:{(23,1),(28,1),(54,1),(70,1),(195,1),(216,1),(230,1)}
        43:{2,4,5,7}:{(24,1),(58,1),(71,1),(76,1),(122,1),(135,1),(141,1),(187,1)}
        44:{3,4,6}:{(24,1),(25,1),(62,1),(71,1),(72,1),(128,1)}
        45:{1,5,6}:{(25,1),(72,1),(75,1)}
        46:{1,4,6,7}:{(25,1),(28,1),(73,1),(75,1),(78,1),(221,1),(223,1)}
        47:{3,4,5}:{(26,1),(68,1),(76,1),(77,1)}
        48:{1,4,6}:{(26,1),(27,1),(77,1),(78,1),(128,1)}
        49:{1,3,5,7}:{(27,1),(28,1),(70,1),(75,1),(78,1),(129,1),(133,1),(140,1)}
        50:{3,4,5,7}:{(29,1),(36,1),(79,1),(80,1),(83,1),(93,1),(145,1),(150,1),(158,1),(161,1),(210,1)}
        51:{2,4,6}:{(29,1),(31,1),(80,1),(81,1)}
        52:{2,4,5}:{(30,1),(83,1),(84,1),(93,1)}
        53:{2,3,5,6}:{(30,1),(31,1),(41,1),(81,1),(84,1),(85,1),(94,1),(100,1),(147,1)}
        54:{2,3,6,7}:{(31,1),(42,1),(82,1),(85,1),(95,1),(200,1),(227,1)}
        55:{1,2,3,6}:{(32,1),(86,1),(87,1),(205,1),(226,1)}
        56:{1,2,4,7}:{(32,1),(33,1),(34,1),(87,1),(88,1),(97,1)}
        57:{2,3,4,6}:{(33,1),(35,1),(87,1),(89,1),(90,1),(151,1),(156,1),(205,1)}
        58:{2,3,5,7}:{(33,1),(36,1),(43,1),(88,1),(89,1),(90,1),(98,1),(163,1)}
        59:{1,3,4,6}:{(34,1),(35,1),(87,1),(91,1),(92,1),(151,1),(159,1),(205,1)}
        60:{1,3,5,7}:{(34,1),(36,1),(79,1),(88,1),(91,1),(92,1),(99,1),(164,1)}
        61:{3,5}:{(35,1),(37,1),(93,1)}
        62:{3,6}:{(36,1),(38,1)}
        63:{1,2,5,6}:{(37,1),(38,1),(45,1),(81,1),(94,1),(96,1),(102,1),(142,1)}
        64:{1,2,4,6,7}:{(38,1),(42,1),(46,1),(82,1),(95,1),(96,1),(101,1),(103,1),(143,1),(154,1),(161,1),(206,1)}
        65:{1,2,3}:{(97,1)}
        66:{2,3,4}:{(39,1),(97,1),(98,1)}
        67:{1,3,4}:{(39,1),(97,1),(99,1)}
        68:{3,5}:{(39,1),(40,1),(100,1)}
        69:{1,2,4,6}:{(40,1),(41,1),(48,1),(84,1),(100,1),(101,1),(109,1),(149,1),(162,1)}
        70:{1,2,5,7}:{(41,1),(42,1),(49,1),(85,1),(101,1),(170,1),(201,1)}
        71:{2,4,6}:{(43,1),(44,1),(90,1),(102,1)}
        72:{3,5,6}:{(44,1),(45,1),(102,1),(104,1),(105,1)}
        73:{3,4,6,7}:{(44,1),(46,1),(95,1),(103,1),(105,1),(110,1),(161,1),(168,1),(169,1),(208,1),(211,1)}
        74:{1,4,5,6}:{(45,1),(48,1),(104,1),(107,1),(108,1)}
        75:{1,5,7}:{(45,1),(46,1),(105,1)}
        76:{2,4,5}:{(47,1),(98,1),(109,1)}
        77:{3,4,6}:{(47,1),(48,1),(100,1),(107,1),(109,1),(110,1)}
        78:{1,4,7}:{(48,1),(49,1),(110,1),(161,1)}
        79:{1,4,5,7}:{(50,1),(60,1),(111,1),(116,1),(125,1),(172,1),(178,1),(190,1)}
        80:{3,4,6}:{(50,1),(51,1),(62,1),(111,1),(112,1),(128,1)}
        81:{2,5,6}:{(51,1),(112,1),(115,1)}
        82:{2,4,6,7}:{(51,1),(54,1),(113,1),(115,1),(118,1),(222,1),(229,1)}
        83:{3,4,5}:{(52,1),(68,1),(116,1),(117,1)}
        84:{2,4,6}:{(52,1),(53,1),(117,1),(118,1),(128,1)}
        85:{2,3,5,7}:{(53,1),(54,1),(70,1),(115,1),(118,1),(129,1),(133,1),(177,1)}
        86:{1,2,3,5}:{(55,1),(119,1),(120,1),(179,1),(182,1),(217,1)}
        87:{1,2,4,6}:{(55,1),(56,1),(57,1),(59,1),(119,1),(120,1),(121,1)}
        88:{1,2,5,7}:{(56,1),(58,1),(60,1),(120,1),(121,1),(130,1),(191,1)}
        89:{2,3,5}:{(57,1),(61,1),(120,1),(122,1),(182,1)}
        90:{2,3,6}:{(58,1),(62,1),(71,1),(121,1)}
        91:{1,3,5}:{(59,1),(61,1),(120,1),(125,1),(182,1)}
        92:{1,3,6}:{(60,1),(62,1),(111,1),(121,1)}
        93:{4,5}:{(61,1),(128,1)}
        94:{3,5,6}:{(61,1),(62,1),(63,1),(128,1),(129,1)}
        95:{3,6,7}:{(62,1),(64,1),(129,1),(133,1),(220,1)}
        96:{1,2,5,7}:{(63,1),(64,1),(75,1),(115,1),(129,1),(135,1),(172,1)}
        97:{1,2,4}:{(65,1),(66,1),(67,1),(130,1)}
        98:{2,3,5}:{(66,1),(68,1),(76,1),(130,1),(131,1)}
        99:{1,3,5}:{(67,1),(68,1),(116,1),(130,1),(132,1)}
       100:{3,6}:{(68,1),(69,1),(133,1)}
       101:{1,2,4,7}:{(69,1),(70,1),(78,1),(118,1),(133,1),(141,1),(178,1),(191,1)}
       102:{2,5,6}:{(71,1),(72,1),(135,1)}
       103:{2,4,6,7}:{(71,1),(73,1),(124,1),(135,1),(141,1),(187,1),(195,1)}
       104:{4,5,6}:{(72,1),(128,1),(137,1)}
       105:{3,5,7}:{(72,1),(73,1),(75,1),(135,1),(137,1)}
       106:{1,5,6,7}:{(75,1),(136,1),(138,1),(223,1)}
       107:{3,5,6}:{(74,1),(77,1),(139,1),(140,1)}
       108:{1,4,5,7}:{(74,1),(75,1),(78,1),(137,1),(138,1),(140,1)}
       109:{2,4,6}:{(76,1),(77,1),(131,1),(139,1),(141,1)}
       110:{3,4,7}:{(77,1),(78,1),(133,1),(140,1),(141,1)}
       111:{1,4,6}:{(79,1),(80,1),(92,1),(142,1)}
       112:{3,5,6}:{(80,1),(81,1),(142,1),(144,1),(145,1)}
       113:{3,4,6,7}:{(80,1),(82,1),(95,1),(143,1),(145,1),(150,1),(161,1),(199,1),(200,1),(210,1),(224,1)}
       114:{2,4,5,6}:{(81,1),(84,1),(144,1),(147,1),(148,1)}
       115:{2,5,7}:{(81,1),(82,1),(145,1)}
       116:{1,4,5}:{(83,1),(99,1),(149,1)}
       117:{3,4,6}:{(83,1),(84,1),(100,1),(147,1),(149,1),(150,1)}
       118:{2,4,7}:{(84,1),(85,1),(150,1),(161,1)}
       119:{1,2,4}:{(86,1),(151,1)}
       120:{1,2,5}:{(87,1),(89,1),(91,1)}
       121:{1,2,6}:{(88,1),(90,1),(92,1)}
       122:{2,4,5}:{(89,1),(93,1),(155,1),(156,1)}
       123:{2,3,5,6}:{(89,1),(90,1),(94,1),(102,1),(153,1),(156,1),(157,1),(166,1),(205,1)}
       124:{2,3,6,7}:{(90,1),(95,1),(103,1),(154,1),(157,1),(163,1),(211,1)}
       125:{1,4,5}:{(91,1),(93,1),(158,1),(159,1)}
       126:{1,3,5,6}:{(91,1),(92,1),(94,1),(142,1),(153,1),(159,1),(160,1),(197,1),(205,1)}
       127:{1,3,6,7}:{(92,1),(95,1),(143,1),(154,1),(160,1),(164,1),(224,1)}
       128:{4,6}:{(93,1),(94,1),(161,1)}
       129:{3,5,7}:{(94,1),(95,1),(96,1),(161,1)}
       130:{1,2,5}:{(97,1),(98,1),(99,1),(162,1)}
       131:{2,3,6}:{(98,1),(100,1),(109,1),(162,1),(163,1)}
       132:{1,3,6}:{(99,1),(100,1),(149,1),(162,1),(164,1)}
       133:{3,7}:{(100,1),(101,1)}
       134:{2,4,5,6}:{(102,1),(104,1),(156,1),(166,1),(167,1)}
       135:{2,5,7}:{(102,1),(103,1),(105,1)}
       136:{3,5,6,7}:{(105,1),(106,1),(165,1),(168,1),(169,1),(211,1)}
       137:{4,5,7}:{(104,1),(105,1),(161,1),(168,1)}
       138:{1,4,6,7}:{(106,1),(108,1),(168,1),(169,1)}
       139:{2,5,6}:{(107,1),(109,1),(170,1)}
       140:{3,5,7}:{(107,1),(108,1),(110,1),(169,1),(170,1)}
       141:{2,4,7}:{(109,1),(110,1),(163,1),(170,1)}
       142:{1,5,6}:{(111,1),(112,1),(172,1)}
       143:{1,4,6,7}:{(111,1),(113,1),(127,1),(172,1),(178,1),(190,1),(216,1)}
       144:{4,5,6}:{(112,1),(128,1),(174,1)}
       145:{3,5,7}:{(112,1),(113,1),(115,1),(172,1),(174,1)}
       146:{2,5,6,7}:{(115,1),(173,1),(175,1),(229,1)}
       147:{3,5,6}:{(114,1),(117,1),(176,1),(177,1)}
       148:{2,4,5,7}:{(114,1),(115,1),(118,1),(174,1),(175,1),(177,1)}
       149:{1,4,6}:{(116,1),(117,1),(132,1),(176,1),(178,1)}
       150:{3,4,7}:{(117,1),(118,1),(133,1),(177,1),(178,1)}
       151:{3,4}:{(119,1),(182,1)}
       152:{1,2,4,5}:{(119,1),(120,1),(122,1),(125,1),(182,1),(183,1),(185,1),(188,1),(217,1)}
       153:{1,2,5,6}:{(120,1),(121,1),(123,1),(126,1),(183,1),(184,1),(193,1),(214,1)}
       154:{1,2,6,7}:{(121,1),(124,1),(127,1),(184,1),(191,1),(223,1),(229,1)}
       155:{3,4,5}:{(122,1),(182,1),(185,1),(186,1)}
       156:{2,4,6}:{(122,1),(123,1),(128,1),(186,1),(187,1)}
       157:{2,3,5,7}:{(123,1),(124,1),(129,1),(135,1),(184,1),(187,1),(194,1),(220,1)}
       158:{3,4,5}:{(125,1),(182,1),(188,1),(189,1)}
       159:{1,4,6}:{(125,1),(126,1),(128,1),(189,1),(190,1)}
       160:{1,3,5,7}:{(126,1),(127,1),(129,1),(172,1),(184,1),(190,1),(215,1),(220,1)}
       161:{4,7}:{(128,1),(129,1)}
       162:{1,2,6}:{(130,1),(131,1),(132,1),(191,1)}
       163:{2,3,7}:{(131,1),(133,1),(141,1),(191,1)}
       164:{1,3,7}:{(132,1),(133,1),(178,1),(191,1)}
       165:{2,5,6,7}:{(135,1),(136,1),(192,1),(195,1)}
       166:{3,5,6}:{(134,1),(186,1),(193,1),(194,1)}
       167:{2,4,5,7}:{(134,1),(135,1),(137,1),(187,1),(192,1),(194,1)}
       168:{4,6,7}:{(136,1),(137,1)}
       169:{3,6,7}:{(138,1),(140,1),(195,1)}
       170:{2,5,7}:{(139,1),(140,1),(141,1),(195,1)}
       171:{1,4,5,6}:{(142,1),(144,1),(159,1),(197,1),(198,1)}
       172:{1,5,7}:{(142,1),(143,1),(145,1)}
       173:{3,5,6,7}:{(145,1),(146,1),(196,1),(199,1),(200,1),(224,1)}
       174:{4,5,7}:{(144,1),(145,1),(161,1),(199,1)}
       175:{2,4,6,7}:{(146,1),(148,1),(199,1),(200,1)}
       176:{1,5,6}:{(147,1),(149,1),(201,1)}
       177:{3,5,7}:{(147,1),(148,1),(150,1),(200,1),(201,1)}
       178:{1,4,7}:{(149,1),(150,1),(164,1),(201,1)}
       179:{1,2,3}:{(202,1)}
       180:{2,3,4}:{(151,1),(202,1),(203,1)}
       181:{1,3,4}:{(151,1),(202,1),(204,1)}
       182:{3,5}:{(151,1),(152,1),(205,1)}
       183:{1,2,4,6}:{(152,1),(153,1),(156,1),(159,1),(205,1),(206,1),(207,1),(209,1),(226,1)}
       184:{1,2,5,7}:{(153,1),(154,1),(157,1),(160,1),(206,1),(212,1),(225,1)}
       185:{1,4,5}:{(155,1),(204,1),(207,1)}
       186:{3,4,6}:{(155,1),(156,1),(166,1),(205,1),(207,1),(208,1)}
       187:{2,4,7}:{(156,1),(157,1),(161,1),(208,1)}
       188:{2,4,5}:{(158,1),(203,1),(209,1)}
       189:{3,4,6}:{(158,1),(159,1),(197,1),(205,1),(209,1),(210,1)}
       190:{1,4,7}:{(159,1),(160,1),(161,1),(210,1)}
       191:{1,2,7}:{(162,1),(163,1),(164,1)}
       192:{2,4,6,7}:{(165,1),(167,1),(168,1),(211,1)}
       193:{1,5,6}:{(166,1),(207,1),(212,1)}
       194:{3,5,7}:{(166,1),(167,1),(208,1),(211,1),(212,1)}
       195:{2,6,7}:{(169,1),(170,1)}
       196:{1,5,6,7}:{(172,1),(173,1),(213,1),(216,1)}
       197:{3,5,6}:{(171,1),(189,1),(214,1),(215,1)}
       198:{1,4,5,7}:{(171,1),(172,1),(174,1),(190,1),(213,1),(215,1)}
       199:{4,6,7}:{(173,1),(174,1)}
       200:{3,6,7}:{(175,1),(177,1),(216,1)}
       201:{1,5,7}:{(176,1),(177,1),(178,1),(216,1)}
       202:{1,2,4}:{(179,1),(180,1),(181,1),(217,1)}
       203:{2,3,5}:{(180,1),(182,1),(188,1),(217,1),(218,1)}
       204:{1,3,5}:{(181,1),(182,1),(185,1),(217,1),(219,1)}
       205:{3,6}:{(182,1),(183,1),(220,1)}
       206:{1,2,4,7}:{(183,1),(184,1),(187,1),(190,1),(220,1),(221,1),(222,1),(230,1)}
       207:{1,4,6}:{(185,1),(186,1),(193,1),(219,1),(221,1)}
       208:{3,4,7}:{(186,1),(187,1),(194,1),(220,1),(221,1)}
       209:{2,4,6}:{(188,1),(189,1),(214,1),(218,1),(222,1)}
       210:{3,4,7}:{(189,1),(190,1),(215,1),(220,1),(222,1)}
       211:{3,6,7}:{(192,1),(194,1),(223,1)}
       212:{1,5,7}:{(193,1),(194,1),(221,1),(223,1)}
       213:{1,4,6,7}:{(196,1),(198,1),(199,1),(224,1)}
       214:{2,5,6}:{(197,1),(209,1),(225,1)}
       215:{3,5,7}:{(197,1),(198,1),(210,1),(224,1),(225,1)}
       216:{1,6,7}:{(200,1),(201,1)}
       217:{1,2,5}:{(202,1),(203,1),(204,1),(226,1)}
       218:{2,3,6}:{(203,1),(205,1),(209,1),(226,1),(227,1)}
       219:{1,3,6}:{(204,1),(205,1),(207,1),(226,1),(228,1)}
       220:{3,7}:{(205,1),(206,1)}
       221:{1,4,7}:{(207,1),(208,1),(212,1),(228,1)}
       222:{2,4,7}:{(209,1),(210,1),(225,1),(227,1)}
       223:{1,6,7}:{(211,1),(212,1)}
       224:{3,6,7}:{(213,1),(215,1),(229,1)}
       225:{2,5,7}:{(214,1),(215,1),(222,1),(229,1)}
       226:{1,2,6}:{(217,1),(218,1),(219,1),(230,1)}
       227:{2,3,7}:{(218,1),(220,1),(222,1),(230,1)}
       228:{1,3,7}:{(219,1),(220,1),(221,1),(230,1)}
       229:{2,6,7}:{(224,1),(225,1)}
       230:{1,2,7}:{(226,1),(227,1),(228,1)}

 985 :   0:{2,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(20,1),(42,1),(48,1),(87,1),(100,1)}
         1:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(29,1),(33,1),(75,1)}
         2:{2,3,5}:{(0,1),(6,1),(8,1),(31,1),(110,1),(126,1)}
         3:{2,3,4,7}:{(0,1),(7,1),(9,1),(27,1),(67,1),(74,1),(113,1),(206,1)}
         4:{2,3,5,6}:{(2,1),(11,1),(12,1),(13,1),(20,1),(21,1),(42,1),(57,1),(105,1)}
         5:{1,3,6}:{(1,1),(14,1),(15,1),(42,1)}
         6:{1,2,5}:{(1,1),(2,1),(14,1),(101,1)}
         7:{1,2,4,7}:{(1,1),(3,1),(15,1),(17,1),(49,1),(208,1)}
         8:{2,4,5}:{(2,1),(12,1),(18,1),(147,1)}
         9:{2,3,5,7}:{(2,1),(3,1),(17,1),(19,1),(20,1),(53,1),(133,1),(198,1),(201,1)}
        10:{2,4,5,6}:{(12,1),(21,1),(22,1),(57,1),(107,1)}
        11:{1,2,5,6}:{(4,1),(6,1),(23,1),(24,1),(25,1),(33,1),(37,1),(110,1),(153,1)}
        12:{2,4,6}:{(4,1),(8,1),(26,1),(27,1),(130,1)}
        13:{2,3,5,7}:{(4,1),(25,1),(27,1),(28,1),(38,1),(67,1),(71,1),(119,1)}
        14:{1,3,5}:{(5,1),(6,1),(29,1),(31,1)}
        15:{1,3,7}:{(5,1),(7,1),(67,1),(209,1)}
        16:{1,2,4,5}:{(6,1),(8,1),(24,1),(29,1),(31,1),(34,1),(61,1),(73,1),(76,1),(110,1)}
        17:{1,2,5,7}:{(6,1),(7,1),(9,1),(30,1),(33,1),(204,1),(207,1)}
        18:{3,4,5}:{(8,1),(26,1),(31,1),(34,1)}
        19:{2,4,5,7}:{(8,1),(9,1),(27,1),(35,1),(36,1),(71,1),(187,1),(191,1)}
        20:{2,3,6}:{(9,1),(33,1),(36,1),(79,1),(153,1)}
        21:{3,5,6}:{(10,1),(26,1),(37,1),(38,1)}
        22:{2,4,5,7}:{(10,1),(27,1),(38,1),(39,1),(71,1),(121,1)}
        23:{1,3,5,6}:{(11,1),(14,1),(40,1),(41,1),(42,1),(50,1),(85,1),(101,1),(105,1),(134,1),(135,1)}
        24:{1,2,4,6}:{(11,1),(12,1),(16,1),(40,1),(42,1),(43,1),(45,1),(87,1),(90,1)}
        25:{1,2,5,7}:{(11,1),(13,1),(41,1),(43,1),(44,1),(58,1),(133,1)}
        26:{3,4,6}:{(12,1),(18,1),(21,1),(42,1),(45,1),(46,1)}
        27:{2,4,7}:{(12,1),(13,1),(46,1),(141,1)}
        28:{2,3,6,7}:{(13,1),(20,1),(44,1),(47,1),(59,1),(93,1),(198,1)}
        29:{1,4}:{(14,1),(48,1)}
        30:{1,3,5,7}:{(14,1),(15,1),(17,1),(49,1),(50,1),(53,1),(101,1),(196,1),(197,1),(200,1)}
        31:{3,5}:{(16,1),(42,1),(48,1)}
        32:{1,2,4,5,7}:{(16,1),(17,1),(19,1),(43,1),(49,1),(53,1),(54,1),(55,1),(86,1),(94,1),(99,1),(101,1),(102,1),(133,1),(141,1),(146,1),(147,1),(172,1),(173,1),(178,1),(196,1)}
        33:{1,2,6}:{(17,1),(20,1),(50,1)}
        34:{1,4,5}:{(18,1),(45,1),(51,1)}
        35:{3,4,5,7}:{(18,1),(19,1),(46,1),(53,1),(55,1),(56,1),(96,1),(141,1),(147,1),(174,1),(179,1)}
        36:{2,4,6}:{(19,1),(20,1),(56,1),(57,1)}
        37:{1,5,6}:{(21,1),(45,1),(58,1)}
        38:{3,5,7}:{(21,1),(22,1),(46,1),(58,1),(59,1)}
        39:{2,4,6,7}:{(22,1),(59,1),(60,1),(109,1)}
        40:{1,4,6}:{(23,1),(29,1),(61,1),(62,1),(63,1),(130,1)}
        41:{1,3,5,7}:{(23,1),(25,1),(63,1),(64,1),(67,1),(111,1),(115,1),(119,1)}
        42:{3,6}:{(24,1),(31,1),(67,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(27,1),(63,1),(67,1),(69,1),(113,1),(116,1)}
        44:{1,2,6,7}:{(25,1),(28,1),(33,1),(64,1),(83,1),(153,1),(204,1)}
        45:{1,4,6}:{(26,1),(34,1),(37,1),(65,1),(69,1)}
        46:{3,4,7}:{(26,1),(27,1),(38,1),(67,1),(69,1)}
        47:{2,4,6,7}:{(27,1),(28,1),(36,1),(70,1),(71,1),(169,1),(187,1)}
        48:{3,4}:{(29,1),(31,1),(73,1)}
        49:{1,4,7}:{(29,1),(30,1),(74,1),(75,1),(205,1)}
        50:{1,3,6}:{(30,1),(33,1),(75,1),(79,1),(203,1)}
        51:{1,3,5}:{(31,1),(34,1),(65,1),(72,1),(76,1)}
        52:{2,3,5}:{(31,1),(66,1),(73,1),(76,1),(110,1),(122,1)}
        53:{3,5,7}:{(31,1),(32,1),(67,1),(74,1),(79,1),(126,1),(186,1),(190,1)}
        54:{1,2,4,6}:{(32,1),(33,1),(36,1),(75,1),(79,1),(80,1),(81,1),(112,1),(125,1),(127,1),(130,1),(153,1),(184,1),(203,1)}
        55:{1,4,5,7}:{(34,1),(35,1),(69,1),(77,1),(81,1),(120,1),(158,1),(163,1)}
        56:{3,4,6}:{(35,1),(36,1),(79,1),(81,1),(82,1),(130,1)}
        57:{2,5,6}:{(36,1),(71,1),(82,1)}
        58:{1,5,7}:{(37,1),(38,1),(69,1),(83,1)}
        59:{3,6,7}:{(38,1),(39,1),(83,1)}
        60:{2,5,6,7}:{(39,1),(71,1),(84,1),(169,1)}
        61:{1,4,5}:{(40,1),(85,1),(101,1),(147,1)}
        62:{3,4,6}:{(40,1),(42,1),(48,1),(85,1),(87,1),(88,1),(134,1)}
        63:{1,4,7}:{(40,1),(41,1),(88,1),(141,1)}
        64:{1,3,6,7}:{(41,1),(44,1),(50,1),(89,1),(93,1),(134,1),(197,1)}
        65:{1,3,6}:{(42,1),(45,1),(51,1),(90,1),(91,1)}
        66:{2,3,6}:{(42,1),(52,1),(87,1),(90,1),(92,1)}
        67:{3,7}:{(42,1),(43,1)}
        68:{1,2,4,6,7}:{(43,1),(44,1),(47,1),(54,1),(89,1),(93,1),(94,1),(95,1),(136,1),(138,1),(141,1),(173,1)}
        69:{1,4,7}:{(45,1),(46,1),(58,1),(91,1)}
        70:{3,4,6,7}:{(46,1),(47,1),(56,1),(59,1),(93,1),(95,1),(96,1),(109,1),(141,1),(152,1),(174,1)}
        71:{2,5,7}:{(47,1),(57,1),(96,1)}
        72:{1,3,4}:{(48,1),(51,1),(97,1)}
        73:{2,4}:{(48,1),(52,1)}
        74:{3,4,7}:{(48,1),(49,1),(53,1),(99,1),(100,1),(141,1),(199,1)}
        75:{1,4,6}:{(49,1),(50,1),(100,1),(101,1)}
        76:{1,2,5}:{(51,1),(52,1),(90,1),(97,1)}
        77:{1,3,5,7}:{(51,1),(53,1),(55,1),(91,1),(98,1),(102,1),(103,1),(145,1),(196,1)}
        78:{2,3,5,7}:{(52,1),(53,1),(92,1),(99,1),(102,1),(104,1),(133,1),(143,1),(146,1),(177,1)}
        79:{3,6}:{(53,1),(54,1)}
        80:{1,2,5,6}:{(54,1),(57,1),(94,1),(101,1),(105,1),(106,1),(135,1),(146,1),(170,1)}
        81:{1,4,6}:{(55,1),(56,1),(103,1),(106,1)}
        82:{3,5,6}:{(56,1),(57,1),(96,1),(106,1),(107,1)}
        83:{1,6,7}:{(58,1),(59,1)}
        84:{3,5,6,7}:{(59,1),(60,1),(96,1),(108,1),(109,1),(152,1)}
        85:{3,5}:{(61,1),(62,1),(110,1)}
        86:{1,4,5,7}:{(61,1),(63,1),(111,1),(112,1),(115,1),(156,1)}
        87:{2,4,6}:{(62,1),(66,1),(73,1),(110,1),(113,1),(153,1)}
        88:{3,4,7}:{(62,1),(63,1),(67,1),(111,1),(113,1)}
        89:{1,4,6,7}:{(63,1),(64,1),(75,1),(112,1),(114,1),(115,1),(188,1),(203,1)}
        90:{1,2,6}:{(65,1),(66,1),(76,1),(116,1)}
        91:{1,3,7}:{(65,1),(67,1),(69,1),(116,1)}
        92:{2,3,7}:{(66,1),(67,1),(113,1),(116,1)}
        93:{3,6,7}:{(67,1),(68,1),(79,1),(119,1),(186,1)}
        94:{1,2,5,7}:{(68,1),(71,1),(80,1),(115,1),(119,1),(120,1),(155,1)}
        95:{1,4,6,7}:{(69,1),(70,1),(81,1),(83,1),(117,1),(120,1),(158,1)}
        96:{3,5,7}:{(70,1),(71,1),(82,1),(120,1),(121,1)}
        97:{1,2,4}:{(72,1),(73,1),(76,1),(122,1)}
        98:{1,3,4,7}:{(72,1),(74,1),(77,1),(123,1),(124,1),(158,1),(186,1),(188,1)}
        99:{2,4,7}:{(73,1),(74,1),(78,1),(125,1),(189,1)}
       100:{3,4,6}:{(74,1),(75,1),(79,1),(125,1),(126,1),(130,1)}
       101:{1,5}:{(75,1),(126,1)}
       102:{1,2,5,7}:{(76,1),(77,1),(78,1),(116,1),(123,1),(127,1),(162,1)}
       103:{1,3,6}:{(77,1),(79,1),(81,1),(127,1),(203,1)}
       104:{2,3,6}:{(78,1),(79,1),(125,1),(127,1),(153,1)}
       105:{3,5,6}:{(79,1),(80,1),(119,1),(126,1),(130,1)}
       106:{1,5,6}:{(81,1),(82,1),(120,1)}
       107:{4,5,6}:{(82,1),(121,1),(130,1)}
       108:{1,5,6,7}:{(83,1),(84,1),(120,1),(132,1)}
       109:{4,6,7}:{(84,1),(121,1)}
       110:{2,5}:{(85,1),(87,1)}
       111:{3,5,7}:{(85,1),(86,1),(88,1),(133,1),(134,1)}
       112:{1,4,6}:{(86,1),(134,1),(135,1),(171,1)}
       113:{2,4,7}:{(87,1),(88,1),(92,1),(133,1)}
       114:{3,4,6,7}:{(88,1),(89,1),(93,1),(100,1),(134,1),(136,1),(137,1),(141,1),(171,1),(175,1),(195,1)}
       115:{1,5,7}:{(89,1),(101,1),(135,1),(137,1)}
       116:{1,2,7}:{(90,1),(91,1),(92,1)}
       117:{1,3,6,7}:{(91,1),(93,1),(95,1),(103,1),(138,1),(139,1),(152,1)}
       118:{2,3,6,7}:{(92,1),(93,1),(104,1),(136,1),(138,1),(140,1),(195,1)}
       119:{3,5,7}:{(93,1),(94,1),(105,1),(141,1)}
       120:{1,5,7}:{(95,1),(96,1),(106,1)}
       121:{4,5,7}:{(96,1),(107,1),(109,1),(141,1)}
       122:{2,3}:{(97,1)}
       123:{1,2,4,7}:{(97,1),(98,1),(99,1),(102,1),(143,1),(144,1)}
       124:{1,3,4,6}:{(98,1),(100,1),(103,1),(144,1),(145,1),(149,1),(181,1),(183,1),(199,1)}
       125:{2,4,6}:{(99,1),(100,1),(104,1),(146,1)}
       126:{3,5}:{(100,1),(101,1),(146,1),(147,1)}
       127:{1,2,6}:{(102,1),(103,1),(104,1)}
       128:{1,3,5,6}:{(103,1),(105,1),(106,1),(139,1),(145,1),(148,1),(149,1),(151,1),(181,1)}
       129:{2,3,5,6}:{(104,1),(105,1),(140,1),(146,1),(148,1),(150,1),(170,1),(177,1),(180,1),(181,1),(195,1)}
       130:{4,6}:{(105,1),(141,1),(147,1)}
       131:{1,4,5,6}:{(106,1),(107,1),(142,1),(149,1),(151,1)}
       132:{1,4,6,7}:{(108,1),(109,1),(142,1),(152,1)}
       133:{2,5,7}:{(110,1),(111,1),(113,1),(153,1)}
       134:{3,6}:{(111,1),(112,1),(153,1)}
       135:{1,5,6}:{(112,1),(115,1),(154,1),(203,1)}
       136:{2,4,6,7}:{(113,1),(114,1),(118,1),(125,1),(153,1),(155,1),(159,1),(184,1)}
       137:{3,5,7}:{(114,1),(115,1),(126,1),(154,1),(155,1),(156,1)}
       138:{1,2,6,7}:{(116,1),(117,1),(118,1),(127,1),(157,1),(169,1),(203,1)}
       139:{1,3,5,7}:{(117,1),(119,1),(120,1),(128,1),(157,1),(158,1),(160,1),(186,1)}
       140:{2,3,5,7}:{(118,1),(119,1),(129,1),(155,1),(157,1),(159,1),(185,1),(186,1)}
       141:{4,7}:{(119,1),(130,1)}
       142:{1,4,5,7}:{(120,1),(121,1),(131,1),(132,1),(158,1),(160,1)}
       143:{2,3,7}:{(122,1),(123,1),(161,1),(186,1)}
       144:{1,2,4,6}:{(123,1),(124,1),(125,1),(127,1),(161,1),(162,1),(189,1)}
       145:{1,3,5}:{(124,1),(126,1),(162,1),(163,1),(190,1),(192,1)}
       146:{2,5}:{(125,1),(126,1)}
       147:{4,5}:{(126,1),(130,1)}
       148:{1,2,5,6}:{(127,1),(128,1),(129,1),(157,1),(162,1),(165,1),(168,1),(192,1),(203,1)}
       149:{1,4,6}:{(128,1),(130,1),(158,1),(163,1),(166,1)}
       150:{2,4,6}:{(129,1),(130,1),(159,1),(164,1),(167,1),(189,1)}
       151:{3,5,6}:{(131,1),(160,1),(166,1),(168,1)}
       152:{3,6,7}:{(132,1),(160,1),(169,1)}
       153:{2,6}:{(133,1),(134,1)}
       154:{3,5,6}:{(134,1),(135,1),(137,1),(170,1),(171,1),(195,1)}
       155:{2,5,7}:{(136,1),(137,1),(146,1),(170,1)}
       156:{4,5,7}:{(137,1),(141,1),(147,1),(171,1)}
       157:{1,2,5,7}:{(138,1),(139,1),(140,1),(148,1),(173,1),(176,1),(196,1)}
       158:{1,4,7}:{(139,1),(141,1),(149,1),(174,1)}
       159:{2,4,7}:{(140,1),(141,1),(150,1),(175,1)}
       160:{3,5,7}:{(142,1),(151,1),(152,1),(174,1),(176,1)}
       161:{2,3,6}:{(143,1),(144,1),(177,1),(181,1)}
       162:{1,2,5}:{(144,1),(145,1),(146,1),(177,1)}
       163:{1,4,5}:{(145,1),(147,1),(149,1),(179,1)}
       164:{2,4,5}:{(146,1),(147,1),(150,1),(180,1)}
       165:{1,2,4,6}:{(148,1),(149,1),(150,1),(173,1),(178,1),(181,1),(182,1),(183,1),(202,1)}
       166:{3,4,6}:{(149,1),(151,1),(174,1),(179,1),(181,1),(182,1)}
       167:{3,4,6}:{(150,1),(175,1),(180,1),(181,1),(183,1),(195,1),(199,1)}
       168:{2,5,6}:{(151,1),(176,1),(182,1)}
       169:{2,6,7}:{(152,1),(176,1)}
       170:{2,5,6}:{(153,1),(154,1),(155,1),(184,1)}
       171:{4,6}:{(154,1),(156,1)}
       172:{2,4,5,7}:{(155,1),(156,1),(159,1),(164,1),(184,1),(185,1)}
       173:{1,2,4,7}:{(157,1),(158,1),(159,1),(165,1),(186,1),(187,1),(188,1),(204,1)}
       174:{3,4,7}:{(158,1),(160,1),(166,1),(186,1),(187,1)}
       175:{3,4,7}:{(159,1),(167,1),(185,1),(186,1),(188,1)}
       176:{2,5,7}:{(160,1),(168,1),(169,1),(187,1)}
       177:{2,3,5}:{(161,1),(162,1),(189,1),(190,1)}
       178:{1,2,4,5}:{(162,1),(163,1),(164,1),(165,1),(189,1),(190,1),(191,1),(192,1),(205,1),(207,1)}
       179:{3,4,5}:{(163,1),(166,1),(190,1),(191,1)}
       180:{3,5}:{(164,1),(167,1),(192,1)}
       181:{3,6}:{(165,1),(186,1),(190,1)}
       182:{2,4,6}:{(166,1),(168,1),(187,1),(191,1),(194,1)}
       183:{1,4,6}:{(167,1),(188,1),(192,1),(193,1),(203,1),(205,1)}
       184:{2,4,6}:{(170,1),(171,1),(172,1),(195,1)}
       185:{3,5,7}:{(172,1),(175,1),(180,1),(195,1),(196,1)}
       186:{3,7}:{(173,1),(181,1)}
       187:{2,4,7}:{(174,1),(176,1),(182,1),(198,1)}
       188:{1,4,7}:{(175,1),(183,1),(196,1),(197,1)}
       189:{2,4}:{(177,1),(199,1)}
       190:{3,5}:{(178,1),(181,1),(199,1)}
       191:{2,4,5}:{(179,1),(182,1),(201,1)}
       192:{1,5}:{(180,1),(183,1)}
       193:{1,3,6}:{(181,1),(183,1),(197,1),(200,1),(202,1)}
       194:{2,3,6}:{(181,1),(182,1),(198,1),(201,1),(202,1)}
       195:{3,6}:{(184,1),(185,1),(203,1)}
       196:{1,5,7}:{(185,1),(188,1),(192,1),(203,1)}
       197:{1,3,7}:{(186,1),(188,1),(193,1),(204,1)}
       198:{2,3,7}:{(186,1),(187,1),(194,1),(204,1)}
       199:{3,4}:{(189,1),(190,1),(205,1)}
       200:{1,3,5}:{(190,1),(192,1),(193,1),(205,1),(207,1),(209,1)}
       201:{2,3,5}:{(190,1),(191,1),(194,1),(206,1),(207,1)}
       202:{1,2,6}:{(193,1),(194,1),(204,1),(207,1)}
       203:{1,6}:{(195,1),(196,1)}
       204:{1,2,7}:{(197,1),(198,1),(202,1)}
       205:{1,4}:{(199,1),(200,1)}
       206:{2,3,4}:{(199,1),(201,1),(208,1)}
       207:{1,2,5}:{(200,1),(201,1),(202,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{1,3}:{(208,1)}

 986 :   0:{1,3,4,6,7}:{(1,1),(2,1),(13,1),(18,1),(32,1),(34,1),(42,1),(63,1),(75,1),(99,1),(108,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(20,1),(21,1),(30,1),(61,1),(94,1),(112,1)}
         2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(29,1),(79,1),(109,1)}
         3:{1,3,5,6,7}:{(6,1),(8,1),(9,1),(28,1),(29,1),(59,1),(116,1)}
         4:{2,3,6,7}:{(1,1),(10,1),(34,1),(108,1),(124,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(10,1),(11,1),(44,1),(121,1)}
         6:{1,3,5,6}:{(2,1),(11,1),(13,1),(34,1),(37,1)}
         7:{1,4,5,7}:{(2,1),(13,1),(14,1),(75,1),(95,1)}
         8:{1,2,5,6,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(72,1),(77,1),(103,1)}
         9:{1,4,6,7}:{(3,1),(13,1),(17,1),(18,1),(75,1),(127,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(19,1),(20,1),(22,1),(130,1)}
        11:{1,2,5,6}:{(5,1),(6,1),(19,1),(21,1),(53,1),(79,1)}
        12:{1,2,4,5,7}:{(5,1),(7,1),(20,1),(21,1),(22,1),(25,1),(45,1),(47,1),(52,1),(79,1),(94,1),(110,1)}
        13:{1,4,6}:{(6,1),(7,1),(24,1)}
        14:{3,4,5,7}:{(7,1),(22,1),(24,1),(25,1),(29,1),(58,1),(78,1)}
        15:{2,3,5,6,7}:{(8,1),(19,1),(26,1),(28,1),(55,1),(60,1),(88,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(21,1),(26,1),(27,1),(28,1),(30,1),(56,1),(61,1),(94,1),(115,1)}
        17:{1,4,5,7}:{(9,1),(23,1),(29,1),(134,1)}
        18:{3,4,6,7}:{(9,1),(24,1),(28,1),(29,1),(30,1),(58,1),(133,1)}
        19:{2,3,5,6}:{(10,1),(11,1),(31,1),(34,1),(62,1)}
        20:{2,4,7}:{(10,1),(31,1),(32,1),(136,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(13,1),(31,1),(34,1),(38,1),(63,1),(69,1)}
        22:{3,5,7}:{(12,1),(32,1),(34,1),(62,1),(108,1),(122,1)}
        23:{1,4,5,6}:{(13,1),(17,1),(37,1)}
        24:{3,4,6}:{(13,1),(14,1),(34,1),(37,1),(38,1)}
        25:{2,4,5,7}:{(14,1),(36,1),(38,1),(44,1),(76,1),(96,1)}
        26:{2,4,6,7}:{(15,1),(31,1),(39,1),(40,1),(76,1),(102,1)}
        27:{1,2,4,5,7}:{(16,1),(17,1),(33,1),(39,1),(41,1),(44,1),(72,1),(75,1),(76,1),(77,1)}
        28:{3,6,7}:{(16,1),(34,1),(41,1),(108,1),(126,1)}
        29:{3,5,7}:{(17,1),(18,1),(37,1),(44,1),(138,1)}
        30:{2,4,6,7}:{(18,1),(38,1),(43,1),(44,1),(76,1),(137,1)}
        31:{2,4,6}:{(19,1),(20,1),(45,1),(46,1)}
        32:{3,4,7}:{(20,1),(22,1),(46,1),(47,1),(131,1)}
        33:{1,2,4,5,6}:{(21,1),(23,1),(27,1),(45,1),(49,1),(53,1),(54,1),(79,1),(83,1),(84,1),(85,1),(87,1),(110,1),(115,1),(134,1),(139,1)}
        34:{3,6}:{(21,1),(22,1)}
        35:{1,3,5,7}:{(22,1),(47,1),(50,1),(52,1),(79,1),(82,1),(111,1)}
        36:{2,3,5,7}:{(22,1),(25,1),(48,1),(51,1),(52,1),(80,1)}
        37:{3,5,6}:{(23,1),(24,1),(29,1),(53,1)}
        38:{2,4,6}:{(24,1),(25,1),(51,1),(53,1)}
        39:{2,4,5,7}:{(26,1),(45,1),(54,1),(55,1)}
        40:{3,4,6,7}:{(26,1),(28,1),(46,1),(55,1),(56,1),(58,1),(86,1)}
        41:{3,5,7}:{(27,1),(28,1),(49,1),(58,1)}
        42:{1,3,6,7}:{(28,1),(50,1),(56,1),(59,1),(61,1),(114,1)}
        43:{2,3,6,7}:{(28,1),(30,1),(51,1),(60,1),(61,1),(132,1)}
        44:{2,5,7}:{(29,1),(30,1),(53,1),(139,1)}
        45:{2,4,5}:{(31,1),(62,1)}
        46:{3,4,6}:{(31,1),(32,1),(34,1),(62,1),(63,1)}
        47:{1,4,7}:{(32,1),(35,1),(63,1),(123,1)}
        48:{2,3,4,7}:{(32,1),(36,1),(64,1),(65,1),(76,1),(108,1)}
        49:{3,5,6}:{(33,1),(34,1),(41,1),(62,1),(66,1),(122,1),(126,1),(138,1)}
        50:{1,3,6}:{(34,1),(35,1),(63,1),(69,1)}
        51:{2,3,6}:{(34,1),(36,1),(38,1),(69,1)}
        52:{1,2,5,7}:{(35,1),(36,1),(65,1),(69,1),(97,1)}
        53:{2,5,6}:{(37,1),(38,1),(44,1)}
        54:{2,4,5,6}:{(39,1),(70,1),(102,1)}
        55:{3,5,7}:{(39,1),(40,1),(62,1),(70,1),(72,1)}
        56:{1,4,6,7}:{(40,1),(42,1),(63,1),(72,1),(75,1),(101,1)}
        57:{2,3,4,6,7}:{(40,1),(43,1),(64,1),(73,1),(74,1),(76,1),(102,1),(108,1),(126,1),(129,1),(137,1)}
        58:{3,4,7}:{(41,1),(66,1),(75,1),(76,1),(108,1)}
        59:{1,3,5,7}:{(41,1),(42,1),(67,1),(72,1),(75,1),(77,1),(108,1)}
        60:{2,3,5,7}:{(41,1),(43,1),(44,1),(68,1),(76,1),(77,1),(108,1)}
        61:{1,2,6,7}:{(42,1),(43,1),(69,1),(77,1),(125,1)}
        62:{3,5}:{(45,1),(46,1),(79,1)}
        63:{1,4,6}:{(46,1),(47,1),(50,1),(79,1)}
        64:{2,3,4,6}:{(46,1),(48,1),(51,1),(80,1),(81,1),(84,1),(113,1),(131,1)}
        65:{1,2,4,7}:{(47,1),(48,1),(52,1),(81,1),(82,1)}
        66:{3,4,6}:{(49,1),(58,1),(78,1),(83,1),(84,1),(113,1),(131,1)}
        67:{1,3,5,6}:{(49,1),(50,1),(59,1),(79,1),(83,1),(85,1),(87,1),(109,1),(111,1),(113,1),(114,1)}
        68:{2,3,5,6}:{(49,1),(51,1),(53,1),(60,1),(80,1),(84,1),(85,1),(113,1),(130,1),(132,1),(139,1)}
        69:{1,2,6}:{(50,1),(51,1),(52,1)}
        70:{3,5,6}:{(54,1),(55,1),(86,1),(87,1)}
        71:{3,4,5,7}:{(55,1),(58,1),(78,1),(86,1),(89,1),(90,1),(118,1)}
        72:{1,5,7}:{(55,1),(56,1),(79,1),(87,1)}
        73:{2,3,5,7}:{(55,1),(57,1),(80,1),(88,1),(90,1),(91,1),(118,1),(139,1)}
        74:{1,2,4,6,7}:{(56,1),(57,1),(61,1),(81,1),(91,1),(92,1),(94,1),(115,1),(119,1)}
        75:{1,4,7}:{(58,1),(59,1),(83,1)}
        76:{2,4,7}:{(58,1),(60,1),(84,1)}
        77:{1,2,5,7}:{(59,1),(60,1),(61,1),(85,1),(94,1)}
        78:{3,4,5}:{(62,1),(66,1),(95,1),(96,1),(122,1),(138,1)}
        79:{1,5}:{(62,1),(63,1)}
        80:{2,3,5}:{(62,1),(64,1),(96,1),(97,1),(122,1)}
        81:{1,2,4,6}:{(63,1),(64,1),(65,1),(69,1),(97,1),(98,1),(123,1)}
        82:{1,3,7}:{(65,1),(98,1),(108,1)}
        83:{1,4,6}:{(66,1),(67,1),(75,1),(95,1),(123,1)}
        84:{2,4,6}:{(66,1),(68,1),(76,1),(96,1),(136,1)}
        85:{1,2,5,6}:{(67,1),(68,1),(69,1),(77,1),(97,1),(100,1),(121,1),(125,1)}
        86:{3,4,6}:{(70,1),(71,1),(101,1),(102,1),(126,1)}
        87:{1,5,6}:{(70,1),(72,1),(101,1)}
        88:{2,3,5,6}:{(70,1),(73,1),(102,1),(103,1),(126,1)}
        89:{1,4,5,7}:{(71,1),(72,1),(75,1),(95,1),(101,1),(104,1)}
        90:{2,4,5,7}:{(71,1),(73,1),(76,1),(96,1),(102,1)}
        91:{1,2,5,7}:{(72,1),(73,1),(74,1),(97,1),(103,1),(106,1)}
        92:{1,3,6,7}:{(74,1),(98,1),(106,1),(108,1),(126,1)}
        93:{1,3,4,7}:{(75,1),(99,1),(104,1),(107,1),(108,1),(129,1)}
        94:{1,2,4,7}:{(75,1),(76,1),(77,1),(100,1),(108,1)}
        95:{1,4,5}:{(78,1),(79,1),(83,1),(109,1)}
        96:{2,4,5}:{(78,1),(80,1),(84,1),(139,1)}
        97:{1,2,5}:{(79,1),(80,1),(81,1),(111,1)}
        98:{1,3,6}:{(81,1),(82,1),(111,1),(113,1)}
        99:{1,3,4,6}:{(83,1),(93,1),(109,1),(112,1),(113,1),(114,1),(131,1),(133,1)}
       100:{1,2,4,6}:{(83,1),(84,1),(85,1),(94,1),(110,1),(113,1)}
       101:{1,4,6}:{(86,1),(87,1),(89,1),(114,1)}
       102:{2,4,6}:{(86,1),(88,1),(90,1)}
       103:{1,2,5,6}:{(87,1),(88,1),(91,1),(115,1),(116,1),(139,1)}
       104:{1,3,5,7}:{(89,1),(93,1),(109,1),(114,1),(117,1),(118,1)}
       105:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(110,1),(115,1),(117,1),(118,1),(119,1),(134,1),(135,1),(139,1)}
       106:{1,3,5,7}:{(91,1),(92,1),(111,1),(116,1),(118,1),(119,1)}
       107:{1,2,4,7}:{(93,1),(112,1),(117,1),(120,1),(135,1)}
       108:{3,7}:{(94,1),(113,1)}
       109:{1,3,5}:{(95,1),(99,1),(121,1),(122,1),(138,1)}
       110:{1,2,4,5}:{(95,1),(96,1),(97,1),(100,1),(121,1),(122,1),(123,1),(136,1)}
       111:{1,3,5}:{(97,1),(98,1),(122,1),(123,1)}
       112:{1,2,4,6}:{(99,1),(107,1),(121,1),(124,1),(125,1),(136,1),(137,1)}
       113:{3,6}:{(100,1),(108,1),(122,1)}
       114:{1,3,6}:{(101,1),(104,1),(125,1),(126,1)}
       115:{1,2,4,6}:{(101,1),(102,1),(103,1),(105,1),(125,1),(126,1),(127,1),(137,1)}
       116:{1,3,5,6}:{(103,1),(106,1),(126,1),(127,1),(138,1)}
       117:{1,2,5,7}:{(104,1),(107,1),(121,1),(125,1),(128,1)}
       118:{3,5,7}:{(105,1),(108,1),(122,1),(126,1),(129,1),(138,1)}
       119:{1,4,7}:{(106,1),(123,1),(127,1),(129,1)}
       120:{2,3,7}:{(107,1),(108,1),(124,1)}
       121:{1,2,5}:{(109,1),(112,1),(130,1),(139,1)}
       122:{3,5}:{(110,1),(113,1),(131,1)}
       123:{1,4}:{(111,1),(131,1)}
       124:{2,3,6}:{(112,1),(113,1),(120,1),(130,1)}
       125:{1,2,6}:{(114,1),(117,1),(132,1)}
       126:{3,6}:{(115,1),(118,1)}
       127:{1,4,6}:{(116,1),(119,1),(133,1),(134,1)}
       128:{2,3,5,7}:{(117,1),(118,1),(120,1),(130,1),(132,1),(135,1),(139,1)}
       129:{3,4,7}:{(118,1),(119,1),(131,1),(133,1),(135,1)}
       130:{2,3,5}:{(121,1),(122,1),(124,1),(136,1)}
       131:{3,4}:{(122,1),(123,1),(136,1)}
       132:{2,3,6}:{(125,1),(126,1),(128,1),(137,1)}
       133:{3,4,6}:{(126,1),(127,1),(129,1),(137,1),(138,1)}
       134:{1,4,5}:{(127,1),(138,1)}
       135:{2,4,7}:{(128,1),(129,1),(136,1),(137,1)}
       136:{2,4}:{(130,1),(131,1)}
       137:{2,4,6}:{(132,1),(133,1),(135,1),(139,1)}
       138:{3,5}:{(133,1),(134,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

 987 :   0:{2,3,5,7}:{(3,1),(4,1),(5,1),(6,1),(22,1),(26,1),(51,1)}
         1:{2,4,5,7}:{(4,1),(6,1),(7,1),(9,1),(26,1),(30,1),(53,1)}
         2:{2,4,6,7}:{(7,1),(8,1),(9,1),(30,1)}
         3:{1,2,5,7}:{(0,1),(10,1),(11,1),(12,1),(15,1),(37,1),(57,1)}
         4:{2,4,7}:{(0,1),(13,1),(14,1),(65,1),(68,1)}
         5:{2,3,6}:{(0,1),(12,1),(14,1),(16,1),(36,1),(100,1)}
         6:{3,5,7}:{(1,1),(13,1),(15,1),(16,1),(39,1)}
         7:{2,4,6}:{(1,1),(16,1),(17,1),(41,1)}
         8:{3,6,7}:{(2,1),(16,1),(18,1),(19,1)}
         9:{2,5,7}:{(2,1),(17,1),(19,1),(68,1)}
        10:{1,3,5,7}:{(3,1),(20,1),(21,1),(22,1),(43,1),(47,1),(51,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(20,1),(22,1),(23,1),(24,1),(45,1),(48,1)}
        12:{1,2,6}:{(3,1),(5,1),(21,1),(27,1),(71,1),(103,1)}
        13:{3,4,7}:{(4,1),(6,1),(22,1),(24,1),(25,1),(30,1),(55,1)}
        14:{2,4,6}:{(4,1),(5,1),(25,1),(26,1),(79,1),(94,1)}
        15:{1,5,7}:{(6,1),(24,1),(27,1),(52,1)}
        16:{3,6}:{(6,1),(7,1),(27,1)}
        17:{2,5,6}:{(7,1),(9,1),(26,1),(28,1),(79,1)}
        18:{1,6,7}:{(8,1),(27,1),(29,1)}
        19:{3,5,7}:{(8,1),(9,1),(28,1),(29,1),(30,1),(55,1)}
        20:{1,4,7}:{(10,1),(32,1),(33,1),(65,1),(104,1)}
        21:{1,3,6}:{(10,1),(12,1),(33,1),(36,1),(58,1),(99,1)}
        22:{3,7}:{(11,1),(36,1)}
        23:{1,2,4,6}:{(11,1),(12,1),(14,1),(33,1),(36,1),(37,1),(38,1),(60,1),(62,1),(65,1),(85,1)}
        24:{1,4,7}:{(13,1),(15,1),(34,1),(38,1)}
        25:{3,4,6}:{(13,1),(14,1),(16,1),(36,1),(38,1),(39,1),(41,1),(65,1),(67,1),(86,1)}
        26:{2,5}:{(14,1),(39,1)}
        27:{1,6}:{(15,1),(16,1)}
        28:{3,5,6}:{(16,1),(17,1),(19,1),(39,1),(40,1),(41,1),(67,1)}
        29:{1,5,7}:{(18,1),(19,1),(40,1),(42,1)}
        30:{4,7}:{(19,1),(41,1)}
        31:{1,4,5,7}:{(20,1),(43,1),(44,1),(47,1),(70,1),(74,1),(90,1)}
        32:{3,4,7}:{(20,1),(22,1),(43,1),(45,1),(46,1),(90,1),(101,1)}
        33:{1,4,6}:{(20,1),(21,1),(46,1),(47,1),(95,1),(102,1)}
        34:{1,3,7}:{(22,1),(24,1),(48,1),(49,1),(55,1)}
        35:{2,3,7}:{(22,1),(45,1),(48,1),(50,1),(101,1)}
        36:{3,6}:{(22,1),(23,1),(51,1),(93,1)}
        37:{1,2,5}:{(23,1),(26,1),(47,1),(51,1),(52,1),(73,1)}
        38:{1,4,6}:{(24,1),(25,1),(27,1),(49,1),(52,1),(76,1)}
        39:{3,5}:{(25,1),(26,1),(52,1),(53,1)}
        40:{1,5,6}:{(27,1),(28,1),(29,1),(52,1),(54,1)}
        41:{4,6}:{(28,1),(30,1),(53,1)}
        42:{1,4,7}:{(29,1),(30,1),(54,1),(55,1)}
        43:{3,5,7}:{(31,1),(32,1),(57,1),(58,1),(61,1)}
        44:{1,4,6}:{(31,1),(58,1),(59,1),(83,1)}
        45:{2,4,7}:{(32,1),(35,1),(57,1),(60,1)}
        46:{3,4,6}:{(32,1),(33,1),(36,1),(58,1),(60,1),(61,1),(65,1),(83,1),(87,1),(97,1)}
        47:{1,5}:{(33,1),(61,1)}
        48:{1,2,7}:{(34,1),(35,1),(62,1),(68,1),(104,1)}
        49:{1,3,6}:{(34,1),(36,1),(38,1),(62,1),(63,1),(67,1)}
        50:{2,3,6}:{(35,1),(36,1),(60,1),(62,1),(64,1),(97,1)}
        51:{3,5}:{(36,1),(37,1),(65,1)}
        52:{1,5}:{(38,1),(39,1)}
        53:{4,5}:{(39,1),(41,1),(65,1)}
        54:{1,4,6}:{(40,1),(41,1),(42,1),(66,1),(67,1)}
        55:{3,7}:{(42,1),(67,1),(68,1)}
        56:{1,4,6,7}:{(44,1),(69,1),(70,1),(90,1)}
        57:{2,5,7}:{(43,1),(45,1),(71,1),(73,1)}
        58:{3,6}:{(43,1),(44,1),(71,1)}
        59:{1,5,6}:{(44,1),(47,1),(70,1),(72,1),(102,1)}
        60:{2,4,6}:{(45,1),(46,1),(50,1),(71,1),(73,1),(77,1)}
        61:{3,5}:{(46,1),(47,1),(73,1),(74,1)}
        62:{1,2,6}:{(48,1),(49,1),(50,1),(75,1),(79,1),(102,1)}
        63:{1,3,5}:{(49,1),(51,1),(52,1),(75,1),(76,1),(78,1),(93,1)}
        64:{2,3,5}:{(50,1),(51,1),(73,1),(75,1),(77,1),(92,1),(93,1)}
        65:{4}:{(51,1)}
        66:{1,4,5}:{(52,1),(53,1),(54,1),(76,1),(78,1)}
        67:{3,6}:{(54,1),(55,1),(78,1),(79,1)}
        68:{2,7}:{(55,1),(79,1)}
        69:{3,6,7}:{(56,1),(58,1),(80,1),(81,1)}
        70:{1,5,7}:{(56,1),(59,1),(81,1),(104,1)}
        71:{2,6}:{(57,1),(58,1)}
        72:{3,5,6}:{(58,1),(59,1),(61,1),(81,1),(82,1),(83,1),(97,1)}
        73:{2,5}:{(60,1),(61,1)}
        74:{4,5}:{(61,1),(65,1),(83,1)}
        75:{1,2,5}:{(62,1),(63,1),(64,1),(85,1),(88,1),(98,1)}
        76:{1,4}:{(63,1),(65,1),(86,1)}
        77:{2,4}:{(64,1),(65,1),(87,1)}
        78:{3,5}:{(66,1),(67,1),(86,1),(88,1)}
        79:{2,6}:{(67,1),(68,1),(88,1)}
        80:{2,6,7}:{(69,1),(71,1),(89,1)}
        81:{3,5,7}:{(69,1),(70,1),(72,1),(89,1),(90,1),(101,1)}
        82:{2,5,6}:{(71,1),(72,1),(73,1),(89,1),(91,1)}
        83:{4,6}:{(72,1),(74,1),(90,1)}
        84:{2,4,5}:{(73,1),(74,1),(77,1),(91,1),(92,1)}
        85:{1,2,4}:{(75,1),(76,1),(77,1),(93,1),(94,1),(95,1),(103,1)}
        86:{3,4}:{(76,1),(78,1),(93,1),(94,1)}
        87:{3,4}:{(77,1),(92,1),(93,1),(95,1)}
        88:{2,5}:{(78,1),(79,1),(94,1)}
        89:{2,5,7}:{(80,1),(81,1),(82,1),(96,1)}
        90:{4,7}:{(81,1),(83,1)}
        91:{2,4,6}:{(82,1),(83,1),(84,1),(96,1),(97,1)}
        92:{3,5}:{(84,1),(87,1),(97,1),(98,1)}
        93:{3}:{(85,1)}
        94:{2,4}:{(86,1),(88,1),(100,1)}
        95:{1,4}:{(87,1),(98,1),(99,1)}
        96:{2,4,7}:{(89,1),(90,1),(91,1),(101,1)}
        97:{3,6}:{(91,1),(92,1),(101,1),(102,1)}
        98:{1,5}:{(92,1),(95,1),(102,1)}
        99:{1,3}:{(93,1),(95,1),(103,1)}
       100:{2,3}:{(93,1),(94,1),(103,1)}
       101:{3,7}:{(96,1),(97,1),(104,1)}
       102:{1,6}:{(97,1),(98,1),(104,1)}
       103:{1,2}:{(99,1),(100,1)}
       104:{1,7}:{(101,1),(102,1)}

 988 :   0:{1,3,5,6,7}:{(1,1),(2,1),(10,1),(11,1),(27,1),(34,1),(108,1)}
         1:{1,2,5,6,7}:{(0,1),(3,1),(4,1),(23,1),(46,1),(49,1),(54,1),(88,1)}
         2:{1,4,6,7}:{(0,1),(5,1),(6,1),(44,1),(52,1),(124,1)}
         3:{2,3,5,6,7}:{(1,1),(8,1),(10,1),(30,1),(35,1),(64,1),(67,1)}
         4:{1,2,4,6,7}:{(1,1),(2,1),(8,1),(9,1),(10,1),(13,1),(31,1),(36,1),(63,1),(74,1),(107,1)}
         5:{1,4,5,7}:{(2,1),(7,1),(11,1),(133,1)}
         6:{3,4,6,7}:{(2,1),(10,1),(11,1),(13,1),(26,1),(33,1),(132,1)}
         7:{1,4,5,6}:{(5,1),(15,1),(44,1)}
         8:{2,4,6,7}:{(3,1),(16,1),(17,1),(53,1),(85,1),(87,1)}
         9:{1,2,4,5,7}:{(4,1),(5,1),(14,1),(16,1),(18,1),(23,1),(49,1),(52,1),(53,1),(54,1)}
        10:{3,6,7}:{(4,1),(18,1),(84,1),(94,1),(123,1)}
        11:{3,5,7}:{(5,1),(6,1),(15,1),(23,1),(138,1)}
        12:{1,3,4,6,7}:{(6,1),(19,1),(22,1),(24,1),(44,1),(52,1),(80,1),(84,1),(94,1),(96,1),(120,1)}
        13:{2,4,6,7}:{(6,1),(20,1),(23,1),(45,1),(53,1),(137,1)}
        14:{1,2,4,5,6}:{(7,1),(9,1),(25,1),(28,1),(29,1),(59,1),(60,1),(61,1),(63,1),(66,1),(99,1),(105,1),(107,1),(130,1),(133,1),(139,1)}
        15:{3,5,6}:{(7,1),(11,1),(26,1),(28,1)}
        16:{2,4,5,7}:{(8,1),(29,1),(30,1),(105,1)}
        17:{3,4,6,7}:{(8,1),(10,1),(30,1),(31,1),(33,1),(65,1),(104,1)}
        18:{3,5,7}:{(9,1),(10,1),(25,1),(33,1)}
        19:{1,3,6,7}:{(10,1),(31,1),(34,1),(36,1),(103,1),(106,1)}
        20:{2,3,6,7}:{(10,1),(13,1),(35,1),(36,1),(62,1),(131,1)}
        21:{3,4,5,7}:{(11,1),(26,1),(33,1),(37,1),(38,1),(58,1),(76,1)}
        22:{1,3,5,7}:{(11,1),(12,1),(27,1),(37,1),(39,1),(76,1),(97,1),(130,1)}
        23:{2,5,7}:{(11,1),(13,1),(28,1),(139,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(36,1),(39,1),(40,1),(63,1),(74,1),(77,1),(100,1)}
        25:{3,5,6}:{(14,1),(18,1),(41,1),(84,1),(117,1),(121,1),(123,1),(138,1)}
        26:{3,4,6}:{(15,1),(21,1),(44,1),(45,1),(84,1)}
        27:{1,3,5,6}:{(15,1),(22,1),(44,1),(46,1),(84,1)}
        28:{2,5,6}:{(15,1),(23,1),(45,1)}
        29:{2,4,5,6}:{(16,1),(47,1),(87,1)}
        30:{3,5,7}:{(16,1),(17,1),(47,1),(49,1),(121,1)}
        31:{1,4,6,7}:{(17,1),(19,1),(49,1),(52,1),(86,1),(120,1)}
        32:{2,3,4,6,7}:{(17,1),(20,1),(50,1),(51,1),(53,1),(81,1),(87,1),(94,1),(123,1),(126,1),(137,1)}
        33:{3,4,7}:{(18,1),(41,1),(52,1),(53,1),(94,1)}
        34:{1,3,5,7}:{(18,1),(19,1),(42,1),(49,1),(52,1),(54,1),(94,1)}
        35:{2,3,5,7}:{(18,1),(20,1),(23,1),(43,1),(53,1),(54,1),(94,1)}
        36:{1,2,6,7}:{(19,1),(20,1),(54,1),(83,1),(122,1)}
        37:{1,4,5,7}:{(21,1),(22,1),(44,1),(52,1),(78,1)}
        38:{2,4,5,7}:{(21,1),(23,1),(45,1),(53,1),(55,1),(79,1)}
        39:{1,2,5,7}:{(22,1),(23,1),(24,1),(46,1),(57,1),(115,1)}
        40:{2,3,6,7}:{(24,1),(57,1),(84,1),(94,1),(118,1)}
        41:{3,4,6}:{(25,1),(33,1),(58,1),(59,1),(60,1),(102,1),(129,1)}
        42:{1,3,5,6}:{(25,1),(34,1),(59,1),(61,1),(66,1),(97,1),(102,1),(103,1),(106,1),(128,1),(130,1)}
        43:{2,3,5,6}:{(25,1),(28,1),(35,1),(60,1),(61,1),(62,1),(98,1),(102,1),(127,1),(131,1),(139,1)}
        44:{1,4,6}:{(26,1),(27,1),(37,1)}
        45:{2,4,6}:{(26,1),(28,1),(38,1),(62,1)}
        46:{1,2,5,6}:{(27,1),(28,1),(39,1),(63,1),(64,1),(130,1)}
        47:{3,5,6}:{(29,1),(30,1),(65,1),(66,1)}
        48:{3,4,5,7}:{(30,1),(33,1),(58,1),(65,1),(68,1),(69,1),(110,1)}
        49:{1,5,7}:{(30,1),(31,1),(66,1),(130,1)}
        50:{2,3,5,7}:{(30,1),(32,1),(67,1),(69,1),(70,1),(98,1),(110,1),(139,1)}
        51:{1,2,4,6,7}:{(31,1),(32,1),(36,1),(70,1),(71,1),(74,1),(101,1),(107,1),(111,1)}
        52:{1,4,7}:{(33,1),(34,1),(59,1)}
        53:{2,4,7}:{(33,1),(35,1),(60,1)}
        54:{1,2,5,7}:{(34,1),(35,1),(36,1),(61,1),(74,1)}
        55:{2,3,5,7}:{(38,1),(62,1),(73,1),(75,1),(76,1),(98,1)}
        56:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(63,1),(74,1),(75,1),(76,1),(77,1),(99,1),(105,1),(114,1),(130,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(64,1),(76,1),(77,1),(127,1)}
        58:{3,4,5}:{(41,1),(78,1),(79,1),(117,1),(121,1),(138,1)}
        59:{1,4,6}:{(41,1),(42,1),(52,1),(78,1),(136,1)}
        60:{2,4,6}:{(41,1),(43,1),(53,1),(79,1),(135,1)}
        61:{1,2,5,6}:{(42,1),(43,1),(54,1),(82,1),(83,1),(115,1),(116,1),(122,1)}
        62:{2,3,6}:{(45,1),(55,1),(83,1),(84,1)}
        63:{1,2,4,6}:{(44,1),(45,1),(46,1),(56,1),(83,1),(84,1),(85,1),(120,1)}
        64:{2,3,5,6}:{(46,1),(57,1),(84,1),(85,1),(121,1)}
        65:{3,4,6}:{(47,1),(48,1),(86,1),(87,1),(123,1)}
        66:{1,5,6}:{(47,1),(49,1),(86,1)}
        67:{2,3,5,6}:{(47,1),(50,1),(87,1),(88,1),(123,1)}
        68:{1,4,5,7}:{(48,1),(49,1),(52,1),(78,1),(86,1),(89,1)}
        69:{2,4,5,7}:{(48,1),(50,1),(53,1),(79,1),(87,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(51,1),(88,1),(91,1),(116,1)}
        71:{1,3,6,7}:{(51,1),(91,1),(94,1),(119,1),(123,1)}
        72:{1,3,4,7}:{(52,1),(80,1),(89,1),(92,1),(94,1),(126,1)}
        73:{2,3,4,7}:{(53,1),(55,1),(81,1),(93,1),(94,1),(96,1)}
        74:{1,2,4,7}:{(52,1),(53,1),(54,1),(82,1),(94,1)}
        75:{1,2,5,7}:{(55,1),(83,1),(93,1),(95,1),(116,1)}
        76:{3,5,7}:{(56,1),(84,1),(94,1),(96,1),(117,1),(121,1)}
        77:{2,4,7}:{(57,1),(85,1),(96,1),(135,1)}
        78:{1,4,5}:{(58,1),(59,1),(97,1),(130,1)}
        79:{2,4,5}:{(58,1),(60,1),(98,1),(139,1)}
        80:{1,3,4,6}:{(59,1),(72,1),(97,1),(100,1),(102,1),(106,1),(129,1),(132,1)}
        81:{2,3,4,6}:{(60,1),(62,1),(73,1),(98,1),(101,1),(102,1),(104,1),(129,1)}
        82:{1,2,4,6}:{(59,1),(60,1),(61,1),(74,1),(99,1),(102,1)}
        83:{1,2,6}:{(62,1),(75,1),(103,1)}
        84:{3,6}:{(63,1),(76,1)}
        85:{2,4,6}:{(64,1),(77,1),(104,1),(105,1)}
        86:{1,4,6}:{(65,1),(66,1),(68,1),(106,1)}
        87:{2,4,6}:{(65,1),(67,1),(69,1)}
        88:{1,2,5,6}:{(66,1),(67,1),(70,1),(107,1),(108,1),(139,1)}
        89:{1,3,5,7}:{(68,1),(72,1),(97,1),(106,1),(109,1),(110,1)}
        90:{1,2,4,5,7}:{(68,1),(69,1),(70,1),(74,1),(99,1),(107,1),(109,1),(110,1),(111,1),(133,1),(134,1),(139,1)}
        91:{1,3,5,7}:{(70,1),(71,1),(108,1),(110,1),(111,1),(128,1)}
        92:{1,2,4,7}:{(72,1),(100,1),(109,1),(112,1),(134,1)}
        93:{1,2,4,7}:{(73,1),(75,1),(101,1),(113,1),(114,1)}
        94:{3,7}:{(74,1),(102,1)}
        95:{1,3,5,7}:{(75,1),(76,1),(103,1),(113,1),(114,1),(128,1),(130,1)}
        96:{3,4,7}:{(76,1),(77,1),(104,1),(114,1),(129,1)}
        97:{1,3,5}:{(78,1),(80,1),(115,1),(117,1),(138,1)}
        98:{2,3,5}:{(79,1),(81,1),(116,1),(117,1),(121,1)}
        99:{1,2,4,5}:{(78,1),(79,1),(82,1),(115,1),(116,1),(117,1),(135,1),(136,1)}
       100:{1,2,4,6}:{(80,1),(92,1),(115,1),(118,1),(122,1),(135,1),(137,1)}
       101:{1,2,4,6}:{(81,1),(83,1),(93,1),(116,1),(119,1),(120,1),(136,1)}
       102:{3,6}:{(82,1),(94,1),(117,1)}
       103:{1,3,6}:{(83,1),(84,1),(95,1),(120,1)}
       104:{3,4,6}:{(84,1),(85,1),(96,1),(120,1),(121,1)}
       105:{2,4,5}:{(85,1),(121,1)}
       106:{1,3,6}:{(86,1),(89,1),(122,1),(123,1)}
       107:{1,2,4,6}:{(86,1),(87,1),(88,1),(90,1),(122,1),(123,1),(124,1),(137,1)}
       108:{1,3,5,6}:{(88,1),(91,1),(123,1),(124,1),(138,1)}
       109:{1,2,5,7}:{(89,1),(92,1),(115,1),(122,1),(125,1)}
       110:{3,5,7}:{(90,1),(94,1),(117,1),(123,1),(126,1),(138,1)}
       111:{1,4,7}:{(91,1),(124,1),(126,1),(136,1)}
       112:{2,3,7}:{(92,1),(94,1),(118,1)}
       113:{1,3,7}:{(93,1),(94,1),(119,1)}
       114:{1,4,7}:{(95,1),(96,1),(120,1),(136,1)}
       115:{1,2,5}:{(97,1),(100,1),(127,1),(139,1)}
       116:{1,2,5}:{(98,1),(101,1),(128,1),(130,1)}
       117:{3,5}:{(99,1),(102,1),(129,1)}
       118:{2,3,6}:{(100,1),(102,1),(112,1),(127,1)}
       119:{1,3,6}:{(101,1),(102,1),(113,1),(128,1)}
       120:{1,4,6}:{(103,1),(104,1),(114,1),(130,1)}
       121:{3,5}:{(104,1),(105,1),(130,1)}
       122:{1,2,6}:{(106,1),(109,1),(131,1)}
       123:{3,6}:{(107,1),(110,1)}
       124:{1,4,6}:{(108,1),(111,1),(132,1),(133,1)}
       125:{2,3,5,7}:{(109,1),(110,1),(112,1),(127,1),(131,1),(134,1),(139,1)}
       126:{3,4,7}:{(110,1),(111,1),(129,1),(132,1),(134,1)}
       127:{2,3,5}:{(115,1),(117,1),(118,1),(135,1)}
       128:{1,3,5}:{(116,1),(117,1),(119,1),(136,1)}
       129:{3,4}:{(117,1),(135,1),(136,1)}
       130:{1,5}:{(120,1),(121,1)}
       131:{2,3,6}:{(122,1),(123,1),(125,1),(137,1)}
       132:{3,4,6}:{(123,1),(124,1),(126,1),(137,1),(138,1)}
       133:{1,4,5}:{(124,1),(138,1)}
       134:{2,4,7}:{(125,1),(126,1),(135,1),(137,1)}
       135:{2,4}:{(127,1),(129,1)}
       136:{1,4}:{(128,1),(129,1)}
       137:{2,4,6}:{(131,1),(132,1),(134,1),(139,1)}
       138:{3,5}:{(132,1),(133,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

 989 :   0:{1,4,5,6,7}:{(1,1),(6,1),(177,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(4,1),(193,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(175,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(18,1),(23,1),(133,1)}
         4:{2,5,6,7}:{(1,1),(7,1),(203,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(156,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(13,1),(191,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(15,1),(30,1),(66,1),(108,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(41,1),(167,1),(175,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(21,1),(23,1),(37,1),(46,1),(49,1)}
        13:{2,3,6,7}:{(7,1),(19,1),(22,1),(23,1),(173,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(22,1),(23,1),(24,1),(49,1),(129,1)}
        15:{2,3,5,6,7}:{(8,1),(23,1),(24,1),(44,1),(50,1),(86,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(25,1),(156,1),(182,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(26,1),(185,1),(191,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(25,1),(30,1),(32,1),(66,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(26,1),(29,1),(31,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(32,1),(36,1),(61,1),(62,1),(66,1)}
        21:{1,2,4,6,7}:{(12,1),(30,1),(33,1),(53,1),(61,1)}
        22:{1,2,6,7}:{(13,1),(31,1),(34,1),(151,1)}
        23:{3,6,7}:{(14,1),(32,1),(154,1)}
        24:{2,4,6,7}:{(15,1),(35,1),(36,1),(61,1),(104,1)}
        25:{1,3,5,6}:{(16,1),(18,1),(37,1),(39,1),(41,1),(87,1),(161,1)}
        26:{2,3,5,6}:{(17,1),(19,1),(38,1),(40,1),(41,1),(164,1),(173,1)}
        27:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(39,1),(40,1),(41,1),(51,1),(73,1),(74,1),(87,1),(118,1),(129,1)}
        28:{1,3,4,5,7}:{(18,1),(37,1),(42,1),(46,1),(75,1),(82,1),(122,1),(128,1),(132,1),(161,1)}
        29:{2,3,4,7}:{(19,1),(38,1),(43,1),(46,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(39,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(40,1),(43,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(41,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(70,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(49,1),(127,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(49,1),(50,1),(83,1)}
        36:{2,4,5,7}:{(24,1),(50,1),(51,1)}
        37:{1,3,4,6}:{(25,1),(28,1),(53,1),(57,1),(105,1),(154,1),(156,1)}
        38:{2,3,4,6}:{(26,1),(29,1),(52,1),(54,1),(57,1)}
        39:{1,2,5,6}:{(25,1),(30,1),(53,1),(55,1),(138,1)}
        40:{1,2,5,6}:{(26,1),(31,1),(54,1),(56,1),(141,1),(151,1)}
        41:{3,5,6}:{(27,1),(32,1),(57,1),(143,1),(154,1)}
        42:{1,2,4,5,7}:{(28,1),(30,1),(53,1),(58,1),(61,1),(95,1),(98,1),(138,1)}
        43:{1,2,4,7}:{(29,1),(31,1),(54,1),(59,1),(62,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(55,1),(61,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(56,1),(59,1),(62,1),(66,1)}
        46:{3,4,7}:{(32,1),(57,1),(61,1),(62,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(60,1),(64,1),(90,1),(151,1),(154,1),(190,1),(192,1)}
        48:{2,3,4,6,7}:{(33,1),(35,1),(61,1),(64,1),(65,1),(91,1),(102,1),(104,1),(154,1)}
        49:{1,4,6,7}:{(34,1),(35,1),(62,1),(66,1),(105,1)}
        50:{3,5,7}:{(35,1),(36,1),(66,1),(67,1)}
        51:{2,4,5,6}:{(36,1),(67,1),(104,1)}
        52:{2,3,4,5}:{(38,1),(69,1),(75,1),(158,1),(164,1)}
        53:{1,2,4,6}:{(37,1),(39,1),(42,1),(70,1),(73,1)}
        54:{1,2,4,6}:{(38,1),(40,1),(43,1),(69,1),(71,1),(74,1)}
        55:{2,3,5,6}:{(39,1),(41,1),(44,1),(70,1),(73,1),(114,1)}
        56:{1,3,5,6}:{(40,1),(41,1),(45,1),(71,1),(74,1),(87,1),(116,1),(127,1)}
        57:{3,4,6}:{(41,1),(46,1),(73,1),(74,1),(75,1)}
        58:{2,3,5,7}:{(42,1),(70,1),(77,1),(114,1),(128,1)}
        59:{1,3,7}:{(43,1),(71,1)}
        60:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(72,1),(78,1),(80,1),(85,1),(126,1),(128,1),(199,1),(201,1)}
        61:{2,4,7}:{(44,1),(46,1),(73,1)}
        62:{1,4,7}:{(45,1),(46,1),(74,1)}
        63:{3,4,5,7}:{(46,1),(50,1),(75,1),(81,1),(82,1),(83,1),(128,1)}
        64:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(80,1),(84,1),(85,1),(113,1),(129,1),(204,1)}
        65:{2,3,5,7}:{(48,1),(50,1),(81,1),(85,1),(86,1),(114,1),(128,1)}
        66:{1,5,7}:{(49,1),(50,1),(87,1)}
        67:{3,5,6}:{(50,1),(51,1),(83,1),(87,1)}
        68:{2,4,5,6,7}:{(51,1),(88,1),(130,1)}
        69:{1,2,4,5}:{(52,1),(54,1),(89,1),(96,1),(135,1),(141,1)}
        70:{2,3,6}:{(53,1),(58,1),(154,1)}
        71:{1,3,6}:{(54,1),(59,1),(89,1)}
        72:{1,2,3,5,6}:{(55,1),(56,1),(60,1),(90,1),(92,1),(94,1),(108,1),(138,1),(141,1),(143,1),(151,1),(154,1),(183,1),(186,1)}
        73:{2,4,6}:{(55,1),(57,1),(61,1),(95,1)}
        74:{1,4,6}:{(56,1),(57,1),(62,1),(96,1)}
        75:{3,4,5}:{(57,1),(95,1),(96,1),(143,1)}
        76:{1,2,3,5,7}:{(58,1),(90,1),(98,1),(138,1),(147,1)}
        77:{2,3,4,7}:{(58,1),(61,1),(91,1),(98,1),(102,1)}
        78:{1,2,3,7}:{(59,1),(92,1),(100,1),(206,1)}
        79:{1,3,4,7}:{(59,1),(62,1),(93,1),(100,1),(101,1),(102,1)}
        80:{1,2,4,7}:{(60,1),(61,1),(62,1),(94,1),(102,1),(207,1),(208,1)}
        81:{2,4,5,7}:{(61,1),(63,1),(65,1),(95,1),(104,1)}
        82:{1,4,5,7}:{(62,1),(63,1),(66,1),(96,1),(101,1),(105,1)}
        83:{3,4,6}:{(63,1),(67,1),(104,1),(105,1),(154,1)}
        84:{1,3,4,6,7}:{(64,1),(102,1),(107,1),(137,1),(154,1),(156,1),(190,1),(194,1),(207,1)}
        85:{1,2,5,7}:{(64,1),(65,1),(66,1),(107,1),(108,1),(138,1),(209,1)}
        86:{2,3,5,6}:{(65,1),(67,1),(104,1),(108,1),(154,1)}
        87:{1,5,6}:{(66,1),(67,1),(105,1)}
        88:{3,5,6,7}:{(67,1),(68,1),(106,1),(110,1)}
        89:{1,3,5}:{(69,1),(71,1),(112,1)}
        90:{1,2,3,6}:{(70,1),(76,1),(113,1),(170,1)}
        91:{2,3,4,6}:{(70,1),(73,1),(77,1),(113,1),(114,1),(117,1)}
        92:{1,2,3,6}:{(71,1),(78,1),(111,1),(115,1),(196,1)}
        93:{1,3,4,6}:{(71,1),(74,1),(79,1),(112,1),(115,1),(116,1),(117,1),(127,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(80,1),(117,1),(118,1),(198,1),(200,1)}
        95:{2,4,5}:{(73,1),(75,1),(114,1)}
        96:{1,4,5}:{(74,1),(75,1),(116,1)}
        97:{3,4,5,6}:{(75,1),(83,1),(119,1),(120,1),(121,1),(168,1)}
        98:{1,2,4,7}:{(76,1),(77,1),(113,1),(122,1)}
        99:{2,3,4,5,7}:{(77,1),(81,1),(114,1),(123,1),(124,1),(128,1),(163,1),(167,1),(172,1),(202,1)}
       100:{1,2,4,7}:{(78,1),(79,1),(115,1),(125,1),(126,1)}
       101:{1,3,5,7}:{(79,1),(82,1),(116,1),(126,1),(127,1),(128,1)}
       102:{3,4,7}:{(80,1),(117,1),(128,1)}
       103:{1,2,4,5,7}:{(80,1),(81,1),(82,1),(85,1),(118,1),(126,1),(128,1),(129,1),(132,1),(172,1)}
       104:{2,4,6}:{(81,1),(83,1),(86,1)}
       105:{1,4,6}:{(82,1),(83,1),(87,1),(127,1)}
       106:{3,4,6,7}:{(83,1),(88,1),(121,1),(130,1),(131,1),(176,1)}
       107:{1,3,5,7}:{(84,1),(85,1),(128,1),(132,1),(133,1),(161,1),(205,1)}
       108:{1,2,5,6}:{(85,1),(86,1),(87,1),(129,1),(133,1),(203,1)}
       109:{2,3,5,6,7}:{(86,1),(88,1),(130,1),(134,1),(163,1),(176,1)}
       110:{1,5,6,7}:{(87,1),(88,1),(131,1)}
       111:{1,2,3,5}:{(89,1),(92,1),(135,1),(141,1),(179,1)}
       112:{1,3,4}:{(89,1),(135,1)}
       113:{1,2,4,6}:{(90,1),(91,1),(98,1),(137,1),(138,1)}
       114:{2,3,5}:{(91,1),(95,1),(138,1),(143,1)}
       115:{1,2,4,6}:{(92,1),(93,1),(100,1),(135,1),(140,1),(141,1),(151,1)}
       116:{1,3,5}:{(93,1),(96,1),(141,1),(143,1)}
       117:{3,4,6}:{(94,1),(102,1),(143,1),(154,1)}
       118:{1,2,4,5}:{(94,1),(95,1),(96,1),(138,1),(141,1),(143,1),(182,1),(185,1)}
       119:{2,4,5,6}:{(95,1),(97,1),(104,1),(139,1),(145,1)}
       120:{1,4,5,6}:{(96,1),(97,1),(105,1),(142,1),(146,1)}
       121:{3,4,5,7}:{(97,1),(106,1),(145,1),(146,1),(189,1)}
       122:{1,3,4,7}:{(98,1),(102,1),(137,1),(147,1),(207,1)}
       123:{1,2,4,5,7}:{(98,1),(99,1),(138,1),(147,1),(148,1),(182,1),(184,1),(207,1)}
       124:{2,3,4,6}:{(99,1),(104,1),(139,1),(148,1),(154,1),(188,1),(191,1)}
       125:{2,3,4,7}:{(100,1),(102,1),(140,1),(150,1),(206,1),(208,1)}
       126:{1,2,5,7}:{(100,1),(101,1),(141,1),(150,1),(151,1)}
       127:{1,3,6}:{(101,1),(105,1),(151,1),(154,1)}
       128:{3,5,7}:{(102,1),(103,1),(143,1),(154,1)}
       129:{1,2,4,6}:{(103,1),(104,1),(105,1),(108,1),(151,1),(154,1),(156,1),(191,1)}
       130:{2,4,6,7}:{(104,1),(106,1),(109,1),(145,1)}
       131:{1,4,6,7}:{(105,1),(106,1),(110,1),(146,1),(152,1)}
       132:{1,4,5,7}:{(107,1),(153,1),(156,1),(182,1),(207,1)}
       133:{1,3,5,6}:{(107,1),(108,1),(154,1),(156,1),(193,1)}
       134:{1,2,5,6,7}:{(108,1),(109,1),(110,1),(155,1),(157,1),(184,1),(209,1)}
       135:{1,2,4}:{(111,1),(112,1),(158,1)}
       136:{1,3,4,5}:{(112,1),(116,1),(159,1),(160,1),(167,1)}
       137:{1,3,4,6}:{(113,1),(117,1),(122,1),(161,1),(170,1),(198,1)}
       138:{1,2,5}:{(113,1),(114,1),(161,1)}
       139:{2,3,5,6}:{(114,1),(119,1),(124,1),(162,1),(163,1),(168,1),(203,1)}
       140:{2,3,4,6}:{(115,1),(117,1),(125,1),(158,1),(164,1),(173,1),(196,1),(200,1)}
       141:{1,2,5}:{(115,1),(116,1),(164,1)}
       142:{1,3,5,6}:{(116,1),(120,1),(127,1),(160,1),(165,1),(166,1),(168,1)}
       143:{3,5}:{(117,1),(118,1)}
       144:{1,2,4,5,6}:{(118,1),(119,1),(120,1),(129,1),(162,1),(165,1),(168,1),(169,1),(177,1),(198,1),(200,1),(203,1)}
       145:{2,4,5,7}:{(119,1),(121,1),(130,1),(163,1)}
       146:{1,4,5,7}:{(120,1),(121,1),(131,1),(166,1)}
       147:{1,3,5,7}:{(122,1),(123,1),(128,1),(161,1),(170,1)}
       148:{1,2,4,6}:{(123,1),(124,1),(162,1),(170,1),(198,1)}
       149:{2,3,4,6,7}:{(124,1),(130,1),(163,1),(171,1),(176,1),(202,1),(204,1)}
       150:{2,3,5,7}:{(125,1),(126,1),(128,1),(164,1),(172,1),(173,1)}
       151:{1,2,6}:{(126,1),(127,1),(173,1)}
       152:{1,3,6,7}:{(127,1),(131,1),(166,1),(174,1),(176,1)}
       153:{3,4,5,7}:{(128,1),(132,1),(167,1),(172,1),(175,1),(202,1),(205,1)}
       154:{3,6}:{(128,1),(129,1)}
       155:{1,2,4,6,7}:{(129,1),(130,1),(131,1),(134,1),(169,1),(174,1),(176,1),(178,1),(204,1)}
       156:{1,4,6}:{(132,1),(133,1),(175,1)}
       157:{1,3,5,6,7}:{(133,1),(134,1),(176,1),(178,1),(199,1),(205,1)}
       158:{2,3,4}:{(135,1),(179,1)}
       159:{1,2,4,5}:{(135,1),(136,1),(141,1),(179,1),(180,1),(185,1)}
       160:{1,3,4,6}:{(136,1),(142,1),(180,1),(181,1),(188,1)}
       161:{1,3,5}:{(137,1),(138,1),(143,1),(182,1)}
       162:{1,2,5,6}:{(138,1),(139,1),(148,1),(183,1),(184,1)}
       163:{2,3,5,7}:{(139,1),(145,1),(149,1),(184,1),(189,1),(209,1)}
       164:{2,3,5}:{(140,1),(141,1),(143,1),(185,1)}
       165:{1,2,5,6}:{(141,1),(142,1),(151,1),(180,1),(186,1),(187,1)}
       166:{1,3,5,7}:{(142,1),(146,1),(152,1),(181,1),(187,1),(189,1)}
       167:{3,4,5}:{(143,1),(182,1),(185,1),(188,1)}
       168:{3,5,6}:{(143,1),(144,1),(154,1),(188,1),(189,1)}
       169:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(155,1),(184,1),(187,1),(189,1),(195,1),(207,1),(208,1),(209,1)}
       170:{1,3,6}:{(147,1),(148,1),(154,1)}
       171:{1,2,4,6,7}:{(148,1),(149,1),(184,1),(190,1),(207,1)}
       172:{2,4,5,7}:{(150,1),(153,1),(185,1),(191,1),(208,1),(209,1)}
       173:{2,3,6}:{(150,1),(151,1),(154,1),(191,1)}
       174:{1,2,6,7}:{(151,1),(152,1),(187,1),(192,1)}
       175:{3,4,6}:{(153,1),(154,1),(156,1),(191,1),(193,1)}
       176:{3,6,7}:{(154,1),(155,1),(189,1)}
       177:{1,4,5,6}:{(156,1),(193,1),(195,1)}
       178:{1,4,6,7}:{(156,1),(157,1),(194,1),(195,1),(207,1)}
       179:{2,3,5}:{(158,1),(159,1),(196,1)}
       180:{1,2,4,6}:{(159,1),(160,1),(165,1),(196,1),(197,1),(200,1)}
       181:{1,3,4,7}:{(160,1),(166,1),(197,1),(202,1)}
       182:{1,4,5}:{(161,1),(167,1),(198,1)}
       183:{1,3,5,6}:{(161,1),(162,1),(168,1),(170,1),(198,1),(199,1)}
       184:{1,2,5,7}:{(162,1),(163,1),(171,1),(199,1)}
       185:{2,4,5}:{(164,1),(167,1),(200,1)}
       186:{2,3,5,6}:{(164,1),(165,1),(168,1),(173,1),(196,1),(200,1),(201,1),(203,1)}
       187:{1,2,5,7}:{(165,1),(166,1),(174,1),(197,1),(201,1)}
       188:{3,4,6}:{(167,1),(168,1),(198,1),(200,1),(202,1)}
       189:{3,5,7}:{(168,1),(169,1),(176,1),(202,1)}
       190:{1,3,6,7}:{(170,1),(171,1),(176,1),(199,1)}
       191:{2,4,6}:{(172,1),(173,1),(175,1),(203,1)}
       192:{2,3,6,7}:{(173,1),(174,1),(176,1),(201,1),(204,1)}
       193:{3,5,6}:{(175,1),(177,1),(203,1),(205,1)}
       194:{3,4,6,7}:{(175,1),(176,1),(178,1),(202,1),(204,1),(205,1)}
       195:{1,4,5,7}:{(177,1),(178,1),(205,1)}
       196:{2,3,6}:{(179,1),(180,1),(206,1)}
       197:{1,2,4,7}:{(180,1),(181,1),(187,1),(206,1),(208,1)}
       198:{1,4,6}:{(182,1),(183,1),(188,1),(207,1)}
       199:{1,3,5,7}:{(183,1),(184,1),(189,1),(190,1),(207,1)}
       200:{2,4,6}:{(185,1),(186,1),(188,1),(208,1)}
       201:{2,3,5,7}:{(186,1),(187,1),(189,1),(192,1),(206,1),(208,1),(209,1)}
       202:{3,4,7}:{(188,1),(189,1),(207,1),(208,1)}
       203:{2,5,6}:{(191,1),(193,1),(209,1)}
       204:{2,4,6,7}:{(191,1),(192,1),(194,1),(208,1),(209,1)}
       205:{3,5,7}:{(193,1),(194,1),(195,1),(209,1)}
       206:{2,3,7}:{(196,1),(197,1)}
       207:{1,4,7}:{(198,1),(199,1),(202,1)}
       208:{2,4,7}:{(200,1),(201,1),(202,1)}
       209:{2,5,7}:{(203,1),(204,1),(205,1)}

 990 :   0:{1,3,4,5}:{(1,1),(2,1),(31,1),(74,1),(89,1)}
         1:{1,2,4,5}:{(0,1),(4,1),(5,1),(21,1),(58,1),(62,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(64,1)}
         3:{2,3,4,5}:{(8,1),(9,1),(11,1),(40,1),(137,1)}
         4:{2,3,5}:{(1,1),(11,1),(12,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(42,1)}
         6:{1,3,5,6}:{(2,1),(13,1),(15,1),(16,1),(44,1),(74,1),(139,1)}
         7:{1,3,4,7}:{(2,1),(14,1),(16,1),(94,1)}
         8:{1,2,4,5}:{(3,1),(17,1),(18,1),(21,1),(58,1),(103,1)}
         9:{2,3,4,6}:{(3,1),(18,1),(19,1),(20,1),(105,1)}
        10:{1,2,3,5}:{(4,1),(17,1),(21,1),(22,1),(58,1)}
        11:{2,3,4}:{(4,1),(21,1)}
        12:{2,3,6}:{(4,1),(5,1),(25,1)}
        13:{1,2,5,6}:{(5,1),(6,1),(24,1),(27,1),(58,1),(117,1)}
        14:{1,2,4,7}:{(5,1),(7,1),(25,1),(27,1),(65,1)}
        15:{1,4,5,6}:{(6,1),(28,1),(29,1),(103,1),(173,1)}
        16:{1,3,5,7}:{(6,1),(7,1),(27,1),(29,1),(30,1),(69,1)}
        17:{1,3,5}:{(8,1),(31,1),(32,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(32,1),(33,1),(34,1),(76,1)}
        19:{2,3,5,6}:{(9,1),(33,1),(35,1),(36,1),(40,1),(78,1),(91,1)}
        20:{2,3,4,7}:{(9,1),(34,1),(36,1),(142,1)}
        21:{1,2,4}:{(10,1),(11,1),(31,1)}
        22:{1,2,3,6}:{(10,1),(12,1),(32,1),(37,1),(39,1)}
        23:{2,3,4,6}:{(11,1),(12,1),(37,1),(40,1),(41,1),(42,1),(86,1),(91,1)}
        24:{2,3,5,6}:{(12,1),(13,1),(40,1),(42,1),(43,1),(44,1),(91,1),(163,1)}
        25:{2,3,7}:{(12,1),(14,1)}
        26:{1,2,4,5,6}:{(13,1),(15,1),(42,1),(44,1),(45,1),(47,1),(84,1),(92,1),(96,1),(154,1),(163,1),(217,1),(218,1)}
        27:{1,2,5,7}:{(13,1),(14,1),(16,1),(43,1),(46,1)}
        28:{3,4,5,6}:{(15,1),(44,1),(47,1),(48,1),(137,1),(201,1),(218,1)}
        29:{1,4,5,7}:{(15,1),(16,1),(48,1),(49,1)}
        30:{1,3,6,7}:{(16,1),(46,1),(49,1),(99,1),(139,1)}
        31:{1,3,4}:{(17,1),(21,1)}
        32:{1,3,6}:{(17,1),(18,1),(52,1)}
        33:{1,2,5,6}:{(18,1),(19,1),(51,1),(54,1),(58,1),(117,1)}
        34:{1,2,4,7}:{(18,1),(20,1),(52,1),(54,1),(106,1)}
        35:{2,4,5,6}:{(19,1),(55,1),(56,1),(62,1),(125,1)}
        36:{2,3,5,7}:{(19,1),(20,1),(54,1),(56,1),(57,1),(110,1)}
        37:{1,2,4,6}:{(21,1),(22,1),(23,1),(50,1),(58,1),(59,1),(117,1)}
        38:{1,2,3,5,6}:{(22,1),(24,1),(51,1),(58,1),(60,1),(61,1),(67,1),(109,1),(115,1),(117,1),(185,1),(188,1),(189,1),(190,1),(226,1)}
        39:{1,2,3,7}:{(22,1),(25,1),(52,1),(59,1)}
        40:{2,3,5}:{(23,1),(58,1),(62,1),(115,1)}
        41:{2,3,4,7}:{(23,1),(25,1),(59,1),(63,1),(65,1),(120,1)}
        42:{2,4,6}:{(24,1),(62,1),(64,1),(65,1)}
        43:{2,3,5,7}:{(24,1),(25,1),(27,1),(65,1),(66,1),(69,1),(130,1)}
        44:{3,5,6}:{(26,1),(64,1),(69,1),(115,1),(188,1)}
        45:{1,2,4,5,7}:{(26,1),(27,1),(29,1),(65,1),(69,1),(70,1),(71,1),(127,1),(130,1),(131,1),(197,1),(198,1)}
        46:{1,2,6,7}:{(27,1),(30,1),(66,1),(117,1)}
        47:{2,4,5,6}:{(28,1),(68,1),(71,1),(171,1),(220,1)}
        48:{3,4,5,7}:{(28,1),(29,1),(69,1),(71,1),(72,1),(198,1)}
        49:{1,4,6,7}:{(29,1),(30,1),(72,1),(73,1),(173,1)}
        50:{1,3,4,6}:{(31,1),(32,1),(37,1),(74,1),(75,1),(76,1),(86,1),(139,1)}
        51:{1,3,5,6}:{(32,1),(33,1),(74,1),(76,1),(77,1),(78,1),(139,1),(202,1)}
        52:{1,3,7}:{(32,1),(34,1)}
        53:{1,2,4,5,6}:{(33,1),(35,1),(76,1),(78,1),(79,1),(81,1),(84,1),(141,1),(144,1),(154,1),(202,1),(229,1),(230,1)}
        54:{1,2,5,7}:{(33,1),(34,1),(36,1),(77,1),(80,1)}
        55:{3,4,5,6}:{(35,1),(78,1),(81,1),(82,1),(89,1),(162,1),(230,1)}
        56:{2,4,5,7}:{(35,1),(36,1),(82,1),(83,1)}
        57:{2,3,6,7}:{(36,1),(80,1),(83,1),(91,1),(147,1)}
        58:{1,2,5}:{(37,1),(40,1),(74,1)}
        59:{1,2,4,7}:{(37,1),(39,1),(41,1),(75,1),(85,1)}
        60:{1,2,4,6}:{(38,1),(42,1),(76,1),(84,1),(86,1),(87,1),(92,1),(141,1)}
        61:{1,2,3,5,7}:{(38,1),(39,1),(43,1),(77,1),(85,1),(87,1),(88,1),(97,1),(146,1),(153,1),(159,1),(210,1),(214,1)}
        62:{2,4,5}:{(40,1),(42,1),(89,1)}
        63:{2,3,5,7}:{(40,1),(41,1),(85,1),(90,1),(91,1),(153,1)}
        64:{3,4,6}:{(42,1),(44,1),(89,1),(92,1),(94,1)}
        65:{2,4,7}:{(42,1),(43,1),(94,1)}
        66:{2,3,6,7}:{(43,1),(46,1),(91,1),(95,1),(99,1)}
        67:{1,3,5,6}:{(44,1),(92,1),(96,1),(97,1),(151,1),(164,1),(211,1),(217,1)}
        68:{2,3,5,6}:{(44,1),(47,1),(93,1),(96,1),(98,1),(152,1),(212,1)}
        69:{3,5,7}:{(44,1),(45,1),(94,1),(99,1)}
        70:{1,2,4,6,7}:{(45,1),(46,1),(49,1),(95,1),(99,1),(100,1),(101,1),(154,1),(166,1),(168,1),(169,1)}
        71:{2,4,5,7}:{(47,1),(48,1),(98,1),(101,1)}
        72:{3,4,6,7}:{(48,1),(49,1),(99,1),(101,1),(102,1),(169,1),(201,1)}
        73:{1,5,6,7}:{(49,1),(102,1),(202,1)}
        74:{1,3,5}:{(50,1),(58,1),(103,1),(115,1)}
        75:{1,3,4,7}:{(50,1),(52,1),(59,1),(104,1),(106,1),(120,1)}
        76:{1,4,6}:{(51,1),(103,1),(105,1),(106,1)}
        77:{1,3,5,7}:{(51,1),(52,1),(54,1),(106,1),(107,1),(110,1),(178,1)}
        78:{3,5,6}:{(53,1),(105,1),(110,1),(115,1),(188,1)}
        79:{1,2,4,5,7}:{(53,1),(54,1),(56,1),(106,1),(110,1),(111,1),(112,1),(176,1),(178,1),(179,1),(223,1),(224,1)}
        80:{1,2,6,7}:{(54,1),(57,1),(107,1),(117,1)}
        81:{1,4,5,6}:{(55,1),(108,1),(112,1),(122,1),(194,1)}
        82:{3,4,5,7}:{(55,1),(56,1),(110,1),(112,1),(113,1),(224,1)}
        83:{2,4,6,7}:{(56,1),(57,1),(113,1),(114,1),(125,1)}
        84:{1,2,4,5}:{(58,1),(60,1),(62,1),(103,1),(115,1),(122,1),(171,1),(185,1)}
        85:{1,2,5,7}:{(58,1),(59,1),(63,1),(104,1),(117,1)}
        86:{3,4,6}:{(60,1),(115,1),(120,1),(188,1)}
        87:{1,2,4,7}:{(60,1),(61,1),(65,1),(106,1),(120,1),(127,1),(176,1)}
        88:{1,2,3,6,7}:{(61,1),(66,1),(107,1),(117,1),(121,1),(132,1),(181,1),(188,1),(226,1)}
        89:{3,4,5}:{(62,1),(64,1),(115,1),(122,1)}
        90:{2,4,5,7}:{(62,1),(63,1),(65,1),(124,1),(125,1),(130,1)}
        91:{2,3,6}:{(63,1),(117,1),(125,1),(188,1)}
        92:{1,4,6}:{(64,1),(67,1),(122,1),(127,1)}
        93:{2,3,4,6}:{(64,1),(68,1),(123,1),(126,1),(128,1)}
        94:{3,4,7}:{(64,1),(65,1),(69,1),(127,1)}
        95:{2,4,6,7}:{(65,1),(66,1),(125,1),(129,1),(130,1)}
        96:{1,2,5,6}:{(67,1),(68,1),(126,1),(131,1),(185,1),(226,1)}
        97:{1,3,5,7}:{(67,1),(69,1),(127,1),(131,1),(132,1),(196,1),(197,1)}
        98:{2,3,5,7}:{(68,1),(69,1),(71,1),(128,1),(131,1),(133,1)}
        99:{3,6,7}:{(69,1),(70,1),(188,1)}
       100:{1,2,5,6,7}:{(70,1),(73,1),(130,1),(134,1),(135,1),(189,1),(197,1)}
       101:{2,4,6,7}:{(71,1),(72,1),(133,1),(135,1),(220,1)}
       102:{3,5,6,7}:{(72,1),(73,1),(135,1),(136,1),(221,1)}
       103:{1,4,5}:{(74,1),(76,1),(137,1)}
       104:{1,3,5,7}:{(74,1),(75,1),(85,1),(138,1),(139,1),(153,1)}
       105:{3,4,6}:{(76,1),(78,1),(137,1),(141,1),(142,1)}
       106:{1,4,7}:{(76,1),(77,1),(142,1)}
       107:{1,3,6,7}:{(77,1),(80,1),(139,1),(143,1),(147,1)}
       108:{1,3,5,6}:{(78,1),(81,1),(140,1),(144,1),(145,1),(151,1),(211,1)}
       109:{2,3,5,6}:{(78,1),(141,1),(144,1),(146,1),(152,1),(203,1),(212,1),(229,1)}
       110:{3,5,7}:{(78,1),(79,1),(142,1),(147,1)}
       111:{1,2,4,6,7}:{(79,1),(80,1),(83,1),(143,1),(147,1),(148,1),(149,1),(154,1),(205,1),(207,1),(208,1)}
       112:{1,4,5,7}:{(81,1),(82,1),(145,1),(149,1)}
       113:{3,4,6,7}:{(82,1),(83,1),(147,1),(149,1),(150,1),(162,1),(208,1)}
       114:{2,5,6,7}:{(83,1),(150,1),(163,1)}
       115:{3,5}:{(84,1),(86,1)}
       116:{1,2,4,5,7}:{(84,1),(85,1),(87,1),(90,1),(138,1),(153,1),(154,1),(159,1),(161,1),(200,1),(210,1),(215,1)}
       117:{1,2,6}:{(85,1),(91,1),(139,1)}
       118:{1,3,4,6}:{(86,1),(92,1),(151,1),(155,1),(156,1),(164,1),(211,1),(216,1)}
       119:{2,3,4,6}:{(86,1),(141,1),(152,1),(155,1),(157,1),(203,1),(212,1),(228,1)}
       120:{3,4,7}:{(86,1),(87,1),(153,1)}
       121:{1,2,4,6,7}:{(87,1),(88,1),(95,1),(143,1),(154,1),(158,1),(159,1),(166,1),(205,1)}
       122:{1,4,5}:{(89,1),(92,1),(151,1)}
       123:{2,3,4,5}:{(89,1),(93,1),(152,1),(160,1),(228,1)}
       124:{3,4,5,7}:{(89,1),(90,1),(94,1),(153,1),(161,1),(162,1),(167,1),(215,1)}
       125:{2,4,6}:{(90,1),(91,1),(162,1),(163,1)}
       126:{1,2,4,6}:{(92,1),(93,1),(96,1),(160,1),(164,1),(165,1)}
       127:{1,4,7}:{(92,1),(94,1),(97,1)}
       128:{2,3,4,7}:{(93,1),(94,1),(98,1),(165,1)}
       129:{3,4,6,7}:{(94,1),(95,1),(99,1),(162,1),(166,1),(167,1),(169,1)}
       130:{2,5,7}:{(95,1),(163,1),(167,1)}
       131:{1,2,5,7}:{(96,1),(97,1),(98,1),(165,1),(168,1)}
       132:{1,3,6,7}:{(97,1),(99,1),(166,1),(168,1),(211,1)}
       133:{2,3,6,7}:{(98,1),(99,1),(101,1),(168,1),(212,1)}
       134:{3,5,6,7}:{(99,1),(100,1),(167,1),(169,1),(213,1)}
       135:{2,5,6,7}:{(101,1),(102,1),(229,1)}
       136:{4,5,6,7}:{(102,1),(169,1),(230,1)}
       137:{3,4,5}:{(103,1),(105,1),(115,1),(171,1)}
       138:{1,4,5,7}:{(103,1),(104,1),(106,1),(172,1),(173,1),(178,1)}
       139:{1,3,6}:{(104,1),(117,1),(173,1),(188,1)}
       140:{1,3,4,6}:{(105,1),(108,1),(170,1),(174,1),(175,1)}
       141:{2,4,6}:{(105,1),(109,1),(171,1),(176,1)}
       142:{3,4,7}:{(105,1),(106,1),(110,1),(176,1)}
       143:{1,4,6,7}:{(106,1),(107,1),(173,1),(177,1),(178,1)}
       144:{1,2,5,6}:{(108,1),(109,1),(174,1),(179,1),(185,1),(226,1)}
       145:{1,3,5,7}:{(108,1),(110,1),(112,1),(175,1),(179,1),(180,1)}
       146:{2,3,5,7}:{(109,1),(110,1),(176,1),(179,1),(181,1),(222,1),(223,1)}
       147:{3,6,7}:{(110,1),(111,1),(188,1)}
       148:{1,2,5,6,7}:{(111,1),(114,1),(178,1),(182,1),(183,1),(189,1),(223,1)}
       149:{1,4,6,7}:{(112,1),(113,1),(180,1),(183,1),(194,1)}
       150:{3,5,6,7}:{(113,1),(114,1),(183,1),(184,1),(195,1)}
       151:{1,3,5}:{(115,1),(118,1),(122,1),(185,1)}
       152:{2,3,5}:{(115,1),(119,1),(171,1),(185,1)}
       153:{3,5,7}:{(115,1),(116,1),(120,1),(188,1)}
       154:{1,2,4,6}:{(116,1),(117,1),(125,1),(173,1),(188,1),(189,1),(194,1),(220,1),(226,1),(227,1)}
       155:{1,2,4,6}:{(118,1),(119,1),(185,1),(190,1),(191,1),(225,1),(226,1)}
       156:{1,3,4,7}:{(118,1),(120,1),(127,1),(186,1),(191,1),(196,1)}
       157:{2,3,4,7}:{(119,1),(120,1),(176,1),(187,1),(191,1),(222,1)}
       158:{3,4,6,7}:{(120,1),(121,1),(188,1),(192,1),(227,1)}
       159:{1,2,5,7}:{(121,1),(130,1),(178,1),(189,1),(192,1),(197,1),(223,1)}
       160:{1,2,4,5}:{(122,1),(123,1),(126,1),(185,1),(193,1),(225,1)}
       161:{1,4,5,7}:{(122,1),(124,1),(127,1),(186,1),(194,1),(197,1)}
       162:{3,4,6}:{(124,1),(125,1),(188,1),(194,1),(195,1),(227,1)}
       163:{2,5,6}:{(125,1),(130,1),(195,1)}
       164:{1,3,6}:{(126,1),(193,1),(196,1)}
       165:{1,2,4,7}:{(126,1),(127,1),(128,1),(131,1),(196,1)}
       166:{1,4,6,7}:{(127,1),(129,1),(132,1),(194,1),(197,1)}
       167:{3,5,7}:{(129,1),(130,1),(195,1),(197,1),(198,1)}
       168:{1,2,6,7}:{(131,1),(132,1),(133,1),(226,1)}
       169:{4,6,7}:{(134,1),(198,1),(227,1)}
       170:{1,3,4,5}:{(137,1),(140,1),(151,1),(199,1),(216,1)}
       171:{2,4,5}:{(137,1),(141,1),(152,1)}
       172:{3,4,5,7}:{(137,1),(138,1),(142,1),(153,1),(200,1),(201,1),(206,1),(215,1)}
       173:{1,4,6}:{(138,1),(139,1),(201,1),(202,1)}
       174:{1,2,4,6}:{(140,1),(141,1),(144,1),(199,1),(203,1),(204,1)}
       175:{1,3,4,7}:{(140,1),(142,1),(145,1),(204,1)}
       176:{2,4,7}:{(141,1),(142,1),(146,1)}
       177:{3,4,6,7}:{(142,1),(143,1),(147,1),(201,1),(205,1),(206,1),(208,1)}
       178:{1,5,7}:{(143,1),(202,1),(206,1)}
       179:{1,2,5,7}:{(144,1),(145,1),(146,1),(204,1),(207,1)}
       180:{1,3,6,7}:{(145,1),(147,1),(149,1),(207,1),(211,1)}
       181:{2,3,6,7}:{(146,1),(147,1),(205,1),(207,1),(212,1)}
       182:{3,5,6,7}:{(147,1),(148,1),(206,1),(208,1),(213,1)}
       183:{1,5,6,7}:{(149,1),(150,1),(217,1)}
       184:{4,5,6,7}:{(150,1),(208,1),(218,1)}
       185:{1,2,5}:{(151,1),(152,1),(155,1)}
       186:{1,3,5,7}:{(151,1),(153,1),(156,1),(161,1),(210,1),(211,1)}
       187:{2,3,5,7}:{(152,1),(153,1),(157,1),(200,1),(210,1),(212,1)}
       188:{3,6}:{(153,1),(154,1)}
       189:{1,2,5,6}:{(154,1),(159,1),(163,1),(202,1),(213,1),(217,1),(229,1)}
       190:{1,2,3,6}:{(155,1),(164,1),(203,1),(209,1),(214,1)}
       191:{1,2,4,7}:{(155,1),(156,1),(157,1),(210,1),(214,1)}
       192:{3,5,7}:{(158,1),(159,1),(213,1),(215,1)}
       193:{1,3,5}:{(160,1),(164,1),(216,1)}
       194:{1,4,6}:{(161,1),(162,1),(211,1),(217,1)}
       195:{3,5,6}:{(162,1),(163,1),(167,1),(217,1),(218,1)}
       196:{1,3,7}:{(164,1),(165,1)}
       197:{1,5,7}:{(166,1),(167,1),(217,1)}
       198:{4,5,7}:{(167,1),(169,1),(218,1)}
       199:{1,2,4,5}:{(170,1),(171,1),(174,1),(185,1),(219,1),(225,1)}
       200:{2,4,5,7}:{(171,1),(172,1),(176,1),(187,1),(220,1),(223,1)}
       201:{3,4,6}:{(172,1),(173,1),(188,1),(220,1),(221,1),(227,1)}
       202:{1,5,6}:{(173,1),(178,1),(221,1)}
       203:{2,3,6}:{(174,1),(219,1),(222,1)}
       204:{1,2,4,7}:{(174,1),(175,1),(176,1),(179,1),(222,1)}
       205:{2,4,6,7}:{(176,1),(177,1),(181,1),(220,1),(223,1)}
       206:{3,5,7}:{(177,1),(178,1),(221,1),(223,1),(224,1)}
       207:{1,2,6,7}:{(179,1),(180,1),(181,1),(226,1)}
       208:{4,6,7}:{(182,1),(224,1),(227,1)}
       209:{1,2,3,5}:{(185,1),(190,1),(193,1),(219,1),(225,1)}
       210:{1,2,5,7}:{(185,1),(186,1),(187,1),(191,1),(226,1)}
       211:{1,3,6}:{(186,1),(188,1),(194,1),(226,1)}
       212:{2,3,6}:{(187,1),(188,1),(220,1),(226,1)}
       213:{3,5,6}:{(188,1),(189,1),(192,1),(227,1)}
       214:{1,2,3,7}:{(190,1),(191,1),(196,1),(222,1)}
       215:{4,5,7}:{(192,1),(227,1)}
       216:{1,3,4}:{(193,1),(225,1)}
       217:{1,5,6}:{(194,1),(195,1),(197,1)}
       218:{4,5,6}:{(195,1),(198,1),(227,1)}
       219:{2,3,5}:{(199,1),(203,1),(228,1)}
       220:{2,4,6}:{(200,1),(201,1),(212,1),(229,1)}
       221:{3,5,6}:{(201,1),(202,1),(206,1),(229,1),(230,1)}
       222:{2,3,7}:{(203,1),(204,1)}
       223:{2,5,7}:{(205,1),(206,1),(229,1)}
       224:{4,5,7}:{(206,1),(208,1),(230,1)}
       225:{1,2,4}:{(209,1),(216,1),(228,1)}
       226:{1,2,6}:{(210,1),(211,1),(212,1)}
       227:{4,6}:{(213,1),(215,1)}
       228:{2,3,4}:{(219,1),(225,1)}
       229:{2,5,6}:{(220,1),(221,1),(223,1)}
       230:{4,5,6}:{(221,1),(224,1),(227,1)}

 991 :   0:{1,3,4,6}:{(4,1),(5,1),(6,1),(8,1),(37,1),(40,1),(46,1),(75,1),(124,1)}
         1:{1,3,5,6}:{(5,1),(7,1),(8,1),(9,1),(12,1),(37,1),(40,1),(84,1),(129,1)}
         2:{2,3,5,6}:{(7,1),(10,1),(11,1),(31,1),(38,1),(40,1),(77,1),(86,1),(87,1),(125,1),(129,1)}
         3:{1,4,5,6}:{(8,1),(12,1),(13,1),(84,1),(131,1)}
         4:{1,2,4,6}:{(0,1),(14,1),(15,1),(16,1),(52,1),(56,1),(102,1)}
         5:{1,3,5}:{(0,1),(15,1),(17,1),(54,1),(60,1),(145,1)}
         6:{1,3,4,7}:{(0,1),(16,1),(18,1),(23,1),(65,1),(70,1),(101,1),(205,1)}
         7:{1,2,5,6}:{(1,1),(2,1),(15,1),(20,1),(21,1),(28,1),(56,1),(60,1),(110,1)}
         8:{1,4,6}:{(1,1),(17,1),(22,1),(23,1),(149,1)}
         9:{1,3,5,7}:{(1,1),(21,1),(23,1),(24,1),(29,1),(65,1),(69,1),(115,1)}
        10:{2,4,6}:{(2,1),(19,1),(25,1),(26,1),(52,1),(149,1)}
        11:{2,3,5,7}:{(2,1),(21,1),(26,1),(27,1),(61,1),(65,1),(72,1),(115,1)}
        12:{3,5,6}:{(3,1),(22,1),(28,1),(29,1)}
        13:{1,4,5,7}:{(3,1),(23,1),(29,1),(30,1),(69,1),(117,1)}
        14:{2,3,6}:{(4,1),(31,1),(32,1),(40,1)}
        15:{1,2,5}:{(4,1),(5,1),(31,1),(125,1)}
        16:{1,2,4,7}:{(4,1),(6,1),(32,1),(34,1),(76,1),(208,1)}
        17:{1,4,5}:{(5,1),(8,1),(35,1),(162,1)}
        18:{1,3,5,7}:{(5,1),(6,1),(34,1),(36,1),(37,1),(80,1),(85,1),(192,1),(202,1)}
        19:{2,4,5}:{(10,1),(38,1),(125,1),(162,1)}
        20:{1,2,4,6}:{(7,1),(8,1),(10,1),(33,1),(40,1),(41,1),(43,1),(46,1),(88,1)}
        21:{1,2,5,7}:{(7,1),(9,1),(11,1),(41,1),(42,1),(49,1),(85,1)}
        22:{3,4,6}:{(8,1),(12,1),(35,1),(40,1),(43,1),(44,1)}
        23:{1,4,7}:{(8,1),(9,1),(44,1),(137,1)}
        24:{1,3,6,7}:{(9,1),(37,1),(42,1),(45,1),(50,1),(91,1),(192,1)}
        25:{3,4,6}:{(10,1),(38,1),(40,1),(46,1),(47,1),(75,1),(86,1)}
        26:{2,4,7}:{(10,1),(11,1),(47,1),(137,1)}
        27:{2,3,6,7}:{(11,1),(42,1),(48,1),(77,1),(86,1),(91,1),(193,1)}
        28:{2,5,6}:{(12,1),(43,1),(49,1)}
        29:{3,5,7}:{(12,1),(13,1),(44,1),(49,1),(50,1)}
        30:{1,4,6,7}:{(13,1),(50,1),(51,1),(98,1)}
        31:{2,3,5}:{(14,1),(15,1),(52,1),(54,1)}
        32:{2,3,7}:{(14,1),(16,1),(65,1),(209,1)}
        33:{1,2,4,5}:{(15,1),(17,1),(19,1),(20,1),(52,1),(54,1),(57,1),(60,1),(99,1),(103,1)}
        34:{1,2,5,7}:{(15,1),(16,1),(18,1),(53,1),(56,1),(200,1),(207,1)}
        35:{3,4,5}:{(17,1),(22,1),(54,1),(57,1)}
        36:{1,4,5,7}:{(17,1),(18,1),(23,1),(58,1),(59,1),(69,1),(184,1),(197,1)}
        37:{1,3,6}:{(18,1),(56,1),(59,1),(106,1),(110,1)}
        38:{3,5}:{(19,1),(25,1),(60,1)}
        39:{2,4,5,7}:{(19,1),(26,1),(61,1),(62,1),(72,1),(119,1)}
        40:{3,6}:{(20,1),(54,1),(65,1)}
        41:{1,2,4,7}:{(20,1),(21,1),(23,1),(26,1),(65,1),(67,1),(70,1),(112,1)}
        42:{1,2,6,7}:{(21,1),(24,1),(27,1),(56,1),(73,1),(110,1),(200,1)}
        43:{2,4,6}:{(22,1),(28,1),(57,1),(64,1),(67,1)}
        44:{3,4,7}:{(22,1),(23,1),(29,1),(65,1),(67,1)}
        45:{1,4,6,7}:{(23,1),(24,1),(59,1),(68,1),(69,1),(157,1),(184,1)}
        46:{1,4,6}:{(25,1),(60,1),(63,1),(70,1),(99,1),(110,1)}
        47:{3,4,7}:{(25,1),(26,1),(61,1),(65,1),(70,1)}
        48:{2,4,6,7}:{(26,1),(27,1),(62,1),(71,1),(72,1),(102,1),(181,1),(183,1)}
        49:{2,5,7}:{(28,1),(29,1),(67,1),(73,1)}
        50:{3,6,7}:{(29,1),(30,1),(73,1)}
        51:{1,5,6,7}:{(30,1),(69,1),(74,1),(157,1)}
        52:{2,4}:{(31,1),(75,1)}
        53:{2,3,5,7}:{(31,1),(32,1),(34,1),(76,1),(77,1),(80,1),(125,1),(172,1),(193,1),(203,1)}
        54:{3,5}:{(33,1),(40,1),(75,1)}
        55:{1,2,4,5,7}:{(33,1),(34,1),(36,1),(39,1),(41,1),(76,1),(80,1),(81,1),(82,1),(85,1),(92,1),(122,1),(125,1),(126,1),(137,1),(139,1),(160,1),(162,1),(168,1),(172,1),(186,1)}
        56:{1,2,6}:{(34,1),(37,1),(77,1)}
        57:{2,4,5}:{(35,1),(43,1),(79,1)}
        58:{3,4,5,7}:{(35,1),(36,1),(44,1),(80,1),(82,1),(83,1),(94,1),(137,1),(162,1),(170,1),(188,1)}
        59:{1,4,6}:{(36,1),(37,1),(83,1),(84,1)}
        60:{1,5}:{(38,1),(46,1)}
        61:{3,5,7}:{(38,1),(39,1),(47,1),(85,1),(86,1)}
        62:{2,4,6}:{(39,1),(86,1),(87,1),(133,1)}
        63:{1,3,6}:{(40,1),(46,1),(78,1),(88,1),(89,1)}
        64:{2,3,6}:{(40,1),(43,1),(79,1),(88,1),(90,1)}
        65:{3,7}:{(40,1),(41,1)}
        66:{1,2,4,6,7}:{(41,1),(42,1),(45,1),(48,1),(81,1),(91,1),(92,1),(93,1),(95,1),(134,1),(137,1),(168,1)}
        67:{2,4,7}:{(43,1),(44,1),(49,1),(90,1)}
        68:{3,4,6,7}:{(44,1),(45,1),(50,1),(83,1),(91,1),(93,1),(94,1),(98,1),(137,1),(140,1),(170,1)}
        69:{1,5,7}:{(45,1),(84,1),(94,1)}
        70:{1,4,7}:{(46,1),(47,1),(85,1),(89,1)}
        71:{3,4,6,7}:{(47,1),(48,1),(86,1),(91,1),(95,1),(96,1),(124,1),(133,1),(137,1),(167,1),(169,1)}
        72:{2,5,7}:{(48,1),(87,1),(96,1),(125,1)}
        73:{2,6,7}:{(49,1),(50,1)}
        74:{3,5,6,7}:{(50,1),(51,1),(94,1),(97,1),(98,1),(140,1)}
        75:{3,4}:{(52,1),(54,1),(99,1)}
        76:{2,4,7}:{(52,1),(53,1),(101,1),(102,1),(206,1)}
        77:{2,3,6}:{(53,1),(56,1),(102,1),(106,1),(181,1)}
        78:{1,3,5}:{(54,1),(60,1),(63,1),(99,1),(103,1),(141,1)}
        79:{2,3,5}:{(54,1),(57,1),(64,1),(100,1),(103,1)}
        80:{3,5,7}:{(54,1),(55,1),(65,1),(101,1),(106,1),(145,1),(182,1),(195,1)}
        81:{1,2,4,6}:{(55,1),(56,1),(59,1),(62,1),(102,1),(106,1),(107,1),(108,1),(110,1),(143,1),(146,1),(149,1),(151,1),(181,1)}
        82:{2,4,5,7}:{(57,1),(58,1),(67,1),(105,1),(108,1),(116,1),(154,1),(176,1)}
        83:{3,4,6}:{(58,1),(59,1),(106,1),(108,1),(109,1),(149,1)}
        84:{1,5,6}:{(59,1),(69,1),(109,1)}
        85:{1,5,7}:{(60,1),(61,1),(70,1),(110,1)}
        86:{3,6}:{(61,1),(62,1),(110,1)}
        87:{2,5,6}:{(62,1),(72,1),(111,1),(181,1)}
        88:{1,2,6}:{(63,1),(64,1),(103,1),(112,1)}
        89:{1,3,7}:{(63,1),(65,1),(70,1),(112,1)}
        90:{2,3,7}:{(64,1),(65,1),(67,1),(112,1)}
        91:{3,6,7}:{(65,1),(66,1),(106,1),(115,1),(182,1)}
        92:{1,2,5,7}:{(66,1),(69,1),(72,1),(107,1),(115,1),(116,1),(118,1)}
        93:{2,4,6,7}:{(67,1),(68,1),(73,1),(108,1),(114,1),(116,1),(154,1)}
        94:{3,5,7}:{(68,1),(69,1),(109,1),(116,1),(117,1)}
        95:{1,4,6,7}:{(70,1),(71,1),(110,1),(113,1),(118,1),(143,1),(151,1),(153,1)}
        96:{3,5,7}:{(71,1),(72,1),(111,1),(118,1),(119,1),(145,1)}
        97:{2,5,6,7}:{(73,1),(74,1),(116,1),(120,1)}
        98:{4,6,7}:{(74,1),(117,1)}
        99:{1,4}:{(75,1),(78,1)}
       100:{2,3,4}:{(75,1),(79,1),(121,1)}
       101:{3,4,7}:{(75,1),(76,1),(80,1),(122,1),(124,1),(137,1),(201,1)}
       102:{2,4,6}:{(76,1),(77,1),(124,1),(125,1)}
       103:{1,2,5}:{(78,1),(79,1),(88,1),(121,1)}
       104:{1,3,5,7}:{(78,1),(80,1),(85,1),(89,1),(122,1),(126,1),(127,1),(158,1),(160,1),(185,1)}
       105:{2,3,5,7}:{(79,1),(80,1),(82,1),(90,1),(123,1),(126,1),(128,1),(161,1),(172,1)}
       106:{3,6}:{(80,1),(81,1)}
       107:{1,2,5,6}:{(81,1),(84,1),(87,1),(92,1),(125,1),(129,1),(130,1),(132,1),(160,1)}
       108:{2,4,6}:{(82,1),(83,1),(128,1),(130,1)}
       109:{3,5,6}:{(83,1),(84,1),(94,1),(130,1),(131,1)}
       110:{1,6}:{(85,1),(86,1)}
       111:{3,5,6}:{(86,1),(87,1),(96,1),(132,1),(133,1),(167,1)}
       112:{1,2,7}:{(88,1),(89,1),(90,1)}
       113:{1,3,6,7}:{(89,1),(91,1),(95,1),(127,1),(134,1),(135,1),(167,1)}
       114:{2,3,6,7}:{(90,1),(91,1),(93,1),(128,1),(134,1),(136,1),(140,1)}
       115:{3,5,7}:{(91,1),(92,1),(129,1),(137,1)}
       116:{2,5,7}:{(93,1),(94,1),(130,1)}
       117:{4,5,7}:{(94,1),(98,1),(131,1),(137,1)}
       118:{1,5,7}:{(95,1),(96,1),(132,1),(160,1)}
       119:{4,5,7}:{(96,1),(133,1),(137,1),(162,1)}
       120:{2,4,6,7}:{(97,1),(98,1),(138,1),(140,1)}
       121:{1,2,4}:{(99,1),(100,1),(103,1),(141,1)}
       122:{1,4,7}:{(99,1),(101,1),(104,1),(143,1),(194,1)}
       123:{2,3,4,7}:{(100,1),(101,1),(105,1),(142,1),(144,1),(154,1),(182,1),(183,1)}
       124:{3,4,6}:{(101,1),(102,1),(106,1),(143,1),(145,1),(149,1)}
       125:{2,5}:{(102,1),(145,1)}
       126:{1,2,5,7}:{(103,1),(104,1),(105,1),(112,1),(142,1),(146,1),(174,1)}
       127:{1,3,6}:{(104,1),(106,1),(110,1),(143,1),(146,1)}
       128:{2,3,6}:{(105,1),(106,1),(108,1),(146,1),(181,1)}
       129:{3,5,6}:{(106,1),(107,1),(115,1),(145,1),(149,1)}
       130:{2,5,6}:{(108,1),(109,1),(116,1)}
       131:{4,5,6}:{(109,1),(117,1),(149,1)}
       132:{1,5,6}:{(110,1),(111,1),(118,1),(151,1)}
       133:{4,6}:{(111,1),(119,1)}
       134:{1,2,6,7}:{(112,1),(113,1),(114,1),(146,1),(152,1),(157,1),(181,1)}
       135:{1,3,5,7}:{(113,1),(115,1),(118,1),(147,1),(152,1),(153,1),(156,1),(182,1)}
       136:{2,3,5,7}:{(114,1),(115,1),(116,1),(148,1),(152,1),(154,1),(155,1),(182,1)}
       137:{4,7}:{(115,1),(149,1)}
       138:{2,4,5,7}:{(116,1),(117,1),(120,1),(150,1),(154,1),(155,1)}
       139:{1,4,5,7}:{(118,1),(119,1),(151,1),(153,1),(156,1),(175,1)}
       140:{3,6,7}:{(120,1),(155,1),(157,1)}
       141:{1,3}:{(121,1)}
       142:{1,2,4,7}:{(121,1),(122,1),(123,1),(126,1),(158,1),(159,1)}
       143:{1,4,6}:{(122,1),(124,1),(127,1),(160,1)}
       144:{2,3,4,6}:{(123,1),(124,1),(128,1),(159,1),(161,1),(165,1),(189,1),(190,1),(201,1)}
       145:{3,5}:{(124,1),(125,1),(160,1),(162,1)}
       146:{1,2,6}:{(126,1),(127,1),(128,1)}
       147:{1,3,5,6}:{(127,1),(129,1),(132,1),(135,1),(160,1),(163,1),(164,1),(167,1),(185,1),(187,1),(189,1)}
       148:{2,3,5,6}:{(128,1),(129,1),(130,1),(136,1),(161,1),(163,1),(165,1),(166,1),(189,1)}
       149:{4,6}:{(129,1),(137,1),(162,1)}
       150:{2,4,5,6}:{(130,1),(131,1),(138,1),(165,1),(166,1)}
       151:{1,4,6}:{(132,1),(133,1),(139,1),(167,1)}
       152:{1,2,5,7}:{(134,1),(135,1),(136,1),(163,1),(168,1),(171,1),(172,1)}
       153:{1,4,7}:{(135,1),(137,1),(164,1),(169,1)}
       154:{2,4,7}:{(136,1),(137,1),(165,1),(170,1)}
       155:{3,5,7}:{(138,1),(140,1),(166,1),(170,1),(171,1)}
       156:{3,5,7}:{(139,1),(167,1),(169,1),(172,1),(187,1)}
       157:{1,6,7}:{(140,1),(171,1)}
       158:{1,3,7}:{(141,1),(142,1),(173,1),(182,1)}
       159:{1,2,4,6}:{(142,1),(143,1),(144,1),(146,1),(173,1),(174,1),(194,1)}
       160:{1,5}:{(143,1),(145,1)}
       161:{2,3,5}:{(144,1),(145,1),(174,1),(176,1),(195,1),(196,1)}
       162:{4,5}:{(145,1),(149,1)}
       163:{1,2,5,6}:{(146,1),(147,1),(148,1),(152,1),(174,1),(177,1),(180,1),(181,1),(196,1)}
       164:{1,4,6}:{(147,1),(149,1),(153,1),(175,1),(178,1),(194,1)}
       165:{2,4,6}:{(148,1),(149,1),(154,1),(176,1),(179,1)}
       166:{3,5,6}:{(150,1),(155,1),(179,1),(180,1)}
       167:{3,6}:{(151,1),(156,1),(181,1)}
       168:{1,2,4,7}:{(152,1),(153,1),(154,1),(177,1),(182,1),(183,1),(184,1),(200,1)}
       169:{3,4,7}:{(153,1),(156,1),(178,1),(182,1),(183,1)}
       170:{3,4,7}:{(154,1),(155,1),(179,1),(182,1),(184,1)}
       171:{1,5,7}:{(155,1),(157,1),(180,1),(184,1)}
       172:{2,5,7}:{(156,1),(181,1),(183,1),(196,1)}
       173:{1,3,6}:{(158,1),(159,1),(185,1),(189,1)}
       174:{1,2,5}:{(159,1),(160,1),(161,1),(185,1)}
       175:{1,4,5}:{(160,1),(162,1),(164,1),(187,1)}
       176:{2,4,5}:{(161,1),(162,1),(165,1),(188,1)}
       177:{1,2,4,6}:{(163,1),(164,1),(165,1),(168,1),(186,1),(189,1),(190,1),(191,1),(204,1)}
       178:{3,4,6}:{(164,1),(167,1),(169,1),(187,1),(189,1),(190,1),(201,1)}
       179:{3,4,6}:{(165,1),(166,1),(170,1),(188,1),(189,1),(191,1)}
       180:{1,5,6}:{(166,1),(171,1),(191,1)}
       181:{2,6}:{(167,1),(172,1)}
       182:{3,7}:{(168,1),(189,1)}
       183:{2,4,7}:{(169,1),(172,1),(190,1),(193,1)}
       184:{1,4,7}:{(170,1),(171,1),(191,1),(192,1)}
       185:{1,3,5}:{(173,1),(174,1),(194,1),(195,1)}
       186:{1,2,4,5}:{(174,1),(175,1),(176,1),(177,1),(194,1),(195,1),(196,1),(197,1),(206,1),(207,1)}
       187:{3,5}:{(175,1),(178,1),(196,1)}
       188:{3,4,5}:{(176,1),(179,1),(195,1),(197,1)}
       189:{3,6}:{(177,1),(182,1),(195,1)}
       190:{2,4,6}:{(178,1),(181,1),(183,1),(196,1),(199,1),(206,1)}
       191:{1,4,6}:{(179,1),(180,1),(184,1),(197,1),(198,1)}
       192:{1,3,7}:{(182,1),(184,1),(198,1),(200,1)}
       193:{2,3,7}:{(182,1),(183,1),(199,1),(200,1)}
       194:{1,4}:{(185,1),(201,1)}
       195:{3,5}:{(186,1),(189,1),(201,1)}
       196:{2,5}:{(187,1),(190,1)}
       197:{1,4,5}:{(188,1),(191,1),(202,1)}
       198:{1,3,6}:{(189,1),(191,1),(192,1),(202,1),(204,1)}
       199:{2,3,6}:{(189,1),(190,1),(193,1),(203,1),(204,1)}
       200:{1,2,7}:{(192,1),(193,1),(204,1)}
       201:{3,4}:{(194,1),(195,1),(206,1)}
       202:{1,3,5}:{(195,1),(197,1),(198,1),(205,1),(207,1)}
       203:{2,3,5}:{(195,1),(196,1),(199,1),(206,1),(207,1),(209,1)}
       204:{1,2,6}:{(198,1),(199,1),(200,1),(207,1)}
       205:{1,3,4}:{(201,1),(202,1),(208,1)}
       206:{2,4}:{(201,1),(203,1)}
       207:{1,2,5}:{(202,1),(203,1),(204,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{2,3}:{(208,1)}

 992 :   0:{1,2,4,5,6}:{(2,1),(3,1),(17,1),(18,1),(22,1),(40,1),(44,1),(76,1),(77,1),(78,1),(98,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(5,1),(7,1),(69,1),(70,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(31,1),(33,1),(34,1),(38,1),(69,1),(70,1)}
         3:{3,5,6}:{(0,1),(6,1),(8,1),(63,1),(90,1),(102,1)}
         4:{1,3,4,6}:{(12,1),(13,1),(14,1),(17,1),(45,1),(55,1),(80,1),(97,1)}
         5:{3,5,6,7}:{(1,1),(15,1),(19,1),(51,1),(96,1)}
         6:{3,4,6}:{(3,1),(11,1),(16,1),(17,1),(18,1),(55,1),(80,1)}
         7:{1,2,4,6,7}:{(1,1),(2,1),(15,1),(19,1),(52,1),(53,1),(56,1),(78,1)}
         8:{3,5,7}:{(2,1),(3,1),(16,1),(19,1)}
         9:{1,3,5,6}:{(3,1),(12,1),(17,1),(20,1),(22,1),(45,1),(55,1),(75,1),(76,1),(94,1),(96,1),(103,1)}
        10:{2,3,5,6}:{(3,1),(18,1),(21,1),(22,1),(39,1),(47,1),(55,1),(73,1),(77,1),(81,1),(96,1),(98,1)}
        11:{3,4,5}:{(6,1),(24,1),(25,1),(63,1),(102,1)}
        12:{1,3,5}:{(4,1),(24,1),(27,1),(63,1),(102,1)}
        13:{1,3,4,7}:{(4,1),(26,1),(28,1),(33,1),(72,1),(91,1)}
        14:{1,2,4,6}:{(4,1),(27,1),(28,1),(29,1),(64,1),(66,1),(92,1)}
        15:{4,6,7}:{(5,1),(31,1),(101,1)}
        16:{3,4,7}:{(6,1),(8,1),(33,1),(34,1),(72,1)}
        17:{1,4,6}:{(6,1),(9,1),(24,1),(33,1),(88,1),(101,1)}
        18:{2,4,6}:{(6,1),(10,1),(25,1),(34,1),(66,1),(101,1)}
        19:{3,6,7}:{(7,1),(8,1),(90,1)}
        20:{1,3,5,7}:{(8,1),(9,1),(33,1),(36,1),(38,1),(69,1),(72,1),(93,1)}
        21:{2,3,5,7}:{(8,1),(10,1),(34,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        22:{1,2,5,6}:{(9,1),(10,1),(27,1),(35,1),(38,1),(58,1),(64,1),(86,1)}
        23:{3,4,5,7}:{(11,1),(16,1),(41,1),(42,1),(43,1),(51,1),(79,1),(99,1),(104,1)}
        24:{1,4,5}:{(11,1),(12,1),(17,1),(103,1),(104,1)}
        25:{2,4,5}:{(11,1),(18,1),(39,1),(98,1),(104,1)}
        26:{1,3,5,7}:{(12,1),(13,1),(42,1),(45,1),(46,1),(79,1)}
        27:{1,2,5}:{(12,1),(14,1),(47,1),(98,1)}
        28:{1,2,4,7}:{(13,1),(14,1),(46,1),(48,1),(82,1)}
        29:{2,3,6}:{(14,1),(47,1),(48,1),(55,1)}
        30:{2,3,4,6}:{(18,1),(39,1),(49,1),(50,1),(55,1),(73,1),(80,1),(97,1)}
        31:{4,5,7}:{(15,1),(40,1),(51,1),(99,1),(104,1)}
        32:{3,4,6,7}:{(15,1),(16,1),(19,1),(41,1),(51,1),(52,1),(53,1),(85,1),(97,1),(99,1)}
        33:{1,4,7}:{(16,1),(17,1),(20,1),(99,1)}
        34:{2,4,7}:{(16,1),(18,1),(21,1),(99,1)}
        35:{1,2,4,6}:{(17,1),(18,1),(22,1),(44,1),(54,1),(55,1)}
        36:{1,3,6,7}:{(19,1),(20,1),(45,1),(52,1),(56,1),(85,1),(94,1)}
        37:{2,3,6,7}:{(19,1),(21,1),(53,1),(56,1),(73,1),(81,1),(85,1)}
        38:{1,2,5,7}:{(20,1),(21,1),(22,1),(54,1),(56,1)}
        39:{2,3,5}:{(25,1),(30,1),(58,1),(63,1),(102,1)}
        40:{4,5,6}:{(31,1),(59,1),(101,1)}
        41:{3,4,6}:{(23,1),(59,1),(60,1),(61,1),(90,1),(101,1)}
        42:{1,4,5,7}:{(23,1),(24,1),(26,1),(33,1),(60,1),(69,1)}
        43:{2,4,5,7}:{(23,1),(25,1),(34,1),(57,1),(61,1),(70,1)}
        44:{1,2,4,5}:{(24,1),(25,1),(27,1),(35,1),(58,1),(63,1),(66,1),(88,1)}
        45:{1,3,6}:{(26,1),(60,1),(64,1),(90,1)}
        46:{1,2,5,7}:{(26,1),(27,1),(28,1),(64,1),(65,1)}
        47:{2,3,5}:{(27,1),(29,1),(63,1),(66,1)}
        48:{2,3,7}:{(28,1),(29,1),(72,1)}
        49:{2,3,4,7}:{(30,1),(34,1),(57,1),(67,1),(72,1),(91,1)}
        50:{1,2,4,6}:{(30,1),(58,1),(67,1),(68,1),(86,1),(88,1),(100,1)}
        51:{3,5,7}:{(31,1),(32,1),(59,1),(69,1),(70,1),(102,1)}
        52:{1,4,6,7}:{(32,1),(33,1),(36,1),(60,1),(69,1),(100,1)}
        53:{2,4,6,7}:{(32,1),(34,1),(37,1),(61,1),(70,1),(92,1)}
        54:{1,2,4,7}:{(33,1),(34,1),(35,1),(38,1),(72,1)}
        55:{3,6}:{(35,1),(63,1),(72,1)}
        56:{1,2,6,7}:{(36,1),(37,1),(38,1),(64,1),(86,1)}
        57:{2,3,5,7}:{(39,1),(43,1),(49,1),(73,1),(74,1),(79,1)}
        58:{1,2,5}:{(39,1),(50,1),(75,1),(103,1)}
        59:{3,5,6}:{(40,1),(41,1),(51,1),(76,1),(77,1)}
        60:{1,4,6}:{(41,1),(42,1),(45,1),(76,1)}
        61:{2,4,6}:{(41,1),(43,1),(73,1),(77,1)}
        62:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(46,1),(54,1),(74,1),(78,1),(79,1),(82,1),(84,1),(95,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5}:{(44,1),(55,1),(80,1)}
        64:{1,2,6}:{(45,1),(46,1),(81,1)}
        65:{2,3,5,7}:{(46,1),(47,1),(48,1),(79,1),(81,1),(82,1),(98,1)}
        66:{2,4}:{(47,1),(80,1)}
        67:{1,2,4,7}:{(49,1),(50,1),(74,1),(83,1),(95,1)}
        68:{1,3,6}:{(50,1),(55,1),(75,1),(83,1)}
        69:{1,5,7}:{(51,1),(52,1),(76,1),(103,1)}
        70:{2,5,7}:{(51,1),(53,1),(77,1),(98,1)}
        71:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(56,1),(78,1),(84,1),(85,1),(99,1)}
        72:{3,7}:{(54,1),(55,1)}
        73:{2,3,6}:{(57,1),(61,1),(86,1),(90,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(67,1),(86,1),(87,1)}
        75:{1,3,5}:{(58,1),(63,1),(68,1),(88,1)}
        76:{1,5,6}:{(59,1),(60,1),(69,1)}
        77:{2,5,6}:{(59,1),(61,1),(70,1)}
        78:{1,2,4,6}:{(60,1),(61,1),(62,1),(64,1),(86,1),(89,1),(90,1),(92,1),(100,1),(101,1)}
        79:{3,5,7}:{(62,1),(63,1),(72,1),(90,1),(91,1),(102,1)}
        80:{3,4}:{(63,1),(66,1),(88,1)}
        81:{2,3,6}:{(64,1),(65,1),(90,1),(92,1)}
        82:{2,4,7}:{(65,1),(66,1),(91,1),(92,1)}
        83:{1,3,7}:{(67,1),(68,1),(72,1)}
        84:{1,2,5,7}:{(69,1),(70,1),(71,1),(89,1),(93,1)}
        85:{3,6,7}:{(71,1),(72,1),(90,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{1,3,5,7}:{(74,1),(75,1),(79,1),(83,1),(94,1),(95,1),(103,1)}
        88:{1,4}:{(75,1),(80,1)}
        89:{1,2,5,6}:{(76,1),(77,1),(78,1),(84,1),(96,1),(98,1),(103,1)}
        90:{3,6}:{(78,1),(79,1)}
        91:{3,4,7}:{(79,1),(80,1),(82,1),(95,1),(97,1),(99,1)}
        92:{2,4,6}:{(81,1),(82,1),(97,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(96,1),(99,1)}
        94:{1,3,6}:{(86,1),(87,1),(90,1),(100,1)}
        95:{1,4,7}:{(87,1),(88,1),(91,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(93,1),(101,1),(102,1)}
        97:{3,4,6}:{(90,1),(91,1),(92,1),(100,1),(101,1),(102,1)}
        98:{2,5}:{(92,1),(102,1)}
        99:{4,7}:{(93,1),(101,1)}
       100:{1,4,6}:{(94,1),(95,1),(97,1),(103,1)}
       101:{4,6}:{(96,1),(99,1),(104,1)}
       102:{3,5}:{(97,1),(98,1),(103,1),(104,1)}
       103:{1,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

 993 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(33,1),(75,1),(89,1),(93,1),(121,1),(131,1),(142,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(69,1),(148,1),(158,1),(167,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(20,1),(26,1),(59,1),(66,1),(70,1)}
         3:{2,4,5,6,7}:{(10,1),(40,1),(170,1)}
         4:{2,3,4,6,7}:{(1,1),(12,1),(13,1),(40,1),(86,1),(89,1),(139,1)}
         5:{3,4,5,6}:{(11,1),(14,1),(15,1),(47,1),(125,1),(172,1)}
         6:{2,3,5,6}:{(1,1),(12,1),(15,1),(16,1),(47,1),(75,1),(186,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(48,1)}
         8:{1,3,5,7}:{(2,1),(17,1),(18,1),(49,1),(131,1)}
         9:{1,2,3,5,7}:{(8,1),(19,1),(20,1),(53,1),(59,1)}
        10:{3,5,6,7}:{(3,1),(21,1),(22,1),(189,1)}
        11:{3,4,5,7}:{(5,1),(21,1),(24,1),(25,1),(65,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(25,1),(26,1),(65,1),(164,1)}
        13:{1,2,4,6,7}:{(4,1),(7,1),(26,1),(27,1),(66,1)}
        14:{1,4,5,6}:{(5,1),(24,1),(28,1),(152,1),(191,1)}
        15:{2,4,5,6}:{(5,1),(6,1),(25,1),(98,1),(148,1)}
        16:{1,2,5,6}:{(6,1),(7,1),(26,1),(30,1),(59,1)}
        17:{1,3,6}:{(7,1),(8,1),(158,1)}
        18:{1,3,4,7}:{(8,1),(20,1),(31,1),(66,1),(102,1)}
        19:{1,2,3,6}:{(9,1),(17,1),(37,1),(76,1)}
        20:{1,2,4,7}:{(9,1),(18,1),(33,1),(37,1)}
        21:{3,4,6,7}:{(10,1),(11,1),(39,1),(40,1),(86,1),(172,1)}
        22:{1,5,6,7}:{(10,1),(39,1),(202,1)}
        23:{2,3,5,6,7}:{(10,1),(12,1),(40,1),(41,1),(86,1),(122,1)}
        24:{1,4,5,7}:{(11,1),(14,1),(39,1),(42,1)}
        25:{2,4,5,7}:{(11,1),(12,1),(15,1),(40,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(16,1),(44,1)}
        27:{1,3,6,7}:{(13,1),(17,1),(44,1),(86,1)}
        28:{1,3,5,6}:{(14,1),(35,1),(42,1),(46,1),(47,1),(136,1),(181,1)}
        29:{1,2,4,5,6}:{(14,1),(15,1),(16,1),(43,1),(46,1),(47,1),(48,1),(82,1),(92,1),(132,1),(141,1),(186,1)}
        30:{1,3,5,6}:{(16,1),(17,1),(44,1),(47,1),(48,1),(49,1)}
        31:{1,3,4,6}:{(17,1),(18,1),(37,1),(48,1),(49,1),(81,1)}
        32:{1,3,4,5,7}:{(18,1),(38,1),(49,1),(50,1),(90,1),(95,1),(125,1),(131,1),(171,1),(178,1)}
        33:{2,3,4,7}:{(20,1),(52,1),(53,1),(102,1),(154,1)}
        34:{1,2,3,6,7}:{(19,1),(27,1),(55,1),(56,1),(100,1),(111,1),(158,1),(197,1),(199,1)}
        35:{1,3,4,6}:{(28,1),(51,1),(54,1),(57,1),(69,1)}
        36:{1,2,3,5,6}:{(19,1),(30,1),(55,1),(58,1),(59,1),(68,1),(99,1),(104,1),(105,1),(108,1),(158,1),(160,1),(162,1),(197,1)}
        37:{1,2,4,6}:{(19,1),(20,1),(31,1),(52,1),(59,1)}
        38:{1,2,4,5,7}:{(20,1),(32,1),(53,1),(59,1),(60,1),(98,1),(110,1),(154,1)}
        39:{1,4,6,7}:{(21,1),(22,1),(24,1),(61,1),(191,1)}
        40:{2,4,6,7}:{(21,1),(23,1),(25,1),(148,1)}
        41:{1,2,5,6,7}:{(22,1),(23,1),(26,1),(62,1),(63,1),(104,1),(164,1)}
        42:{1,3,5,7}:{(24,1),(28,1),(54,1),(61,1),(64,1),(65,1)}
        43:{1,2,4,5,7}:{(24,1),(25,1),(26,1),(29,1),(62,1),(64,1),(65,1),(66,1),(113,1),(114,1),(164,1)}
        44:{1,3,5,7}:{(26,1),(27,1),(30,1),(65,1),(66,1)}
        45:{1,3,4,6,7}:{(27,1),(31,1),(56,1),(66,1),(67,1),(102,1),(112,1),(116,1),(158,1)}
        46:{1,2,5,6}:{(28,1),(57,1),(64,1),(68,1),(160,1),(197,1)}
        47:{3,5,6}:{(29,1),(65,1),(69,1),(108,1),(158,1)}
        48:{1,4,6}:{(30,1),(66,1),(69,1),(70,1)}
        49:{1,3,5}:{(31,1),(59,1),(70,1),(108,1)}
        50:{1,3,4,6}:{(32,1),(60,1),(71,1),(116,1),(153,1),(158,1),(191,1)}
        51:{1,3,4,5}:{(35,1),(74,1),(93,1),(136,1),(174,1)}
        52:{2,3,4,6}:{(33,1),(37,1),(75,1),(76,1),(81,1),(126,1)}
        53:{2,3,5,7}:{(33,1),(38,1),(75,1),(76,1),(131,1)}
        54:{1,3,4,7}:{(35,1),(42,1),(77,1),(89,1)}
        55:{1,2,3,5,7}:{(34,1),(36,1),(44,1),(78,1),(79,1),(88,1),(127,1),(128,1),(131,1),(179,1),(185,1)}
        56:{1,2,4,6,7}:{(34,1),(37,1),(45,1),(73,1),(78,1),(79,1),(132,1),(139,1),(204,1)}
        57:{1,2,4,6}:{(35,1),(46,1),(74,1),(77,1),(80,1),(92,1)}
        58:{1,2,4,6}:{(36,1),(48,1),(78,1),(81,1),(82,1),(92,1),(126,1),(177,1)}
        59:{1,2,5}:{(37,1),(49,1),(75,1)}
        60:{1,2,4,6}:{(38,1),(50,1),(76,1),(83,1),(126,1)}
        61:{1,3,6,7}:{(39,1),(42,1),(85,1),(86,1),(181,1)}
        62:{1,2,4,6,7}:{(39,1),(40,1),(41,1),(43,1),(85,1),(86,1),(87,1),(132,1),(139,1)}
        63:{1,3,5,6,7}:{(41,1),(44,1),(86,1),(87,1),(91,1),(140,1)}
        64:{1,2,5,7}:{(42,1),(46,1),(77,1),(85,1),(88,1)}
        65:{3,5,7}:{(43,1),(47,1),(86,1),(89,1)}
        66:{1,4,7}:{(44,1),(48,1),(89,1)}
        67:{1,3,5,7}:{(45,1),(49,1),(79,1),(90,1),(91,1),(131,1),(140,1)}
        68:{2,3,5,6}:{(46,1),(47,1),(80,1),(88,1),(92,1),(135,1),(180,1),(186,1)}
        69:{3,4,6}:{(47,1),(48,1),(89,1),(92,1),(93,1)}
        70:{1,4,5}:{(48,1),(49,1),(93,1)}
        71:{1,3,5,6}:{(49,1),(50,1),(83,1),(94,1),(95,1),(137,1),(202,1)}
        72:{1,3,4,6,7}:{(50,1),(84,1),(95,1),(144,1),(178,1),(182,1),(204,1)}
        73:{2,3,4,6,7}:{(52,1),(56,1),(96,1),(100,1),(102,1),(148,1),(154,1),(158,1),(192,1)}
        74:{1,2,4,5}:{(51,1),(57,1),(97,1),(118,1),(150,1),(160,1)}
        75:{2,3,5}:{(52,1),(59,1),(98,1),(108,1)}
        76:{2,3,6}:{(53,1),(60,1),(158,1)}
        77:{1,2,4,7}:{(54,1),(57,1),(64,1),(101,1),(114,1)}
        78:{1,2,4,7}:{(55,1),(58,1),(66,1),(102,1),(114,1),(154,1),(196,1)}
        79:{1,2,5,7}:{(56,1),(59,1),(67,1),(96,1),(104,1),(164,1),(208,1)}
        80:{2,3,6}:{(57,1),(97,1),(101,1)}
        81:{3,4,6}:{(58,1),(102,1),(108,1),(158,1)}
        82:{1,2,4,5}:{(58,1),(59,1),(70,1),(98,1),(108,1),(118,1),(152,1),(160,1)}
        83:{1,2,5,6}:{(59,1),(60,1),(71,1),(99,1),(110,1)}
        84:{1,2,4,6,7}:{(60,1),(72,1),(100,1),(110,1),(154,1)}
        85:{1,2,6,7}:{(61,1),(64,1),(111,1),(197,1)}
        86:{3,6,7}:{(62,1),(65,1),(158,1)}
        87:{1,4,6,7}:{(63,1),(66,1),(112,1),(113,1),(116,1)}
        88:{2,3,5,7}:{(64,1),(65,1),(68,1),(101,1),(111,1),(114,1),(164,1)}
        89:{3,4,7}:{(65,1),(66,1),(69,1),(114,1)}
        90:{1,4,5,7}:{(66,1),(67,1),(70,1),(115,1),(116,1)}
        91:{1,3,5,6}:{(67,1),(104,1),(116,1),(158,1),(165,1)}
        92:{2,4,6}:{(68,1),(69,1),(114,1),(118,1)}
        93:{3,4,5}:{(69,1),(70,1),(108,1),(118,1)}
        94:{1,4,5,6}:{(70,1),(71,1),(116,1),(119,1),(120,1)}
        95:{1,3,5,7}:{(71,1),(72,1),(110,1),(120,1),(163,1),(208,1)}
        96:{2,3,5,7}:{(73,1),(75,1),(79,1),(121,1),(122,1),(131,1),(203,1)}
        97:{2,3,5}:{(74,1),(80,1),(124,1)}
        98:{2,4,5}:{(75,1),(125,1),(126,1)}
        99:{2,3,5,6}:{(75,1),(76,1),(83,1),(126,1),(127,1),(137,1)}
       100:{2,3,6,7}:{(76,1),(84,1),(127,1),(182,1)}
       101:{2,3,7}:{(77,1),(80,1)}
       102:{3,4,7}:{(78,1),(81,1),(131,1)}
       103:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(90,1),(121,1),(131,1),(132,1),(142,1),(171,1),(179,1)}
       104:{1,2,5,6}:{(79,1),(91,1),(122,1),(132,1),(186,1),(202,1)}
       105:{1,2,3,6}:{(80,1),(123,1),(128,1),(134,1),(205,1)}
       106:{2,3,4,6}:{(80,1),(81,1),(92,1),(124,1),(129,1),(134,1),(135,1),(180,1)}
       107:{1,3,4,6}:{(81,1),(130,1),(134,1),(136,1),(174,1),(177,1),(181,1),(205,1)}
       108:{3,5}:{(81,1),(82,1)}
       109:{1,2,4,5,6}:{(82,1),(83,1),(94,1),(126,1),(132,1),(137,1),(138,1),(145,1),(170,1),(177,1),(183,1),(202,1)}
       110:{1,2,5,7}:{(83,1),(84,1),(95,1),(127,1)}
       111:{2,3,6,7}:{(85,1),(86,1),(88,1),(139,1),(180,1)}
       112:{3,4,6,7}:{(86,1),(87,1),(89,1),(139,1),(140,1),(143,1)}
       113:{1,4,5,7}:{(87,1),(140,1),(141,1)}
       114:{2,4,7}:{(88,1),(89,1),(92,1)}
       115:{3,4,5,7}:{(89,1),(90,1),(93,1),(131,1),(140,1),(142,1),(143,1)}
       116:{1,4,6}:{(90,1),(91,1),(143,1)}
       117:{1,3,5,6,7}:{(91,1),(95,1),(133,1),(144,1),(182,1),(187,1)}
       118:{2,4,5}:{(92,1),(93,1),(135,1)}
       119:{3,4,5,6}:{(93,1),(94,1),(137,1),(143,1),(145,1),(146,1)}
       120:{1,4,5,7}:{(94,1),(95,1),(144,1),(146,1)}
       121:{2,4,5,7}:{(96,1),(98,1),(147,1),(148,1),(154,1)}
       122:{2,3,5,6}:{(96,1),(104,1),(148,1),(158,1),(189,1)}
       123:{1,2,3,5}:{(97,1),(105,1),(150,1),(160,1),(193,1)}
       124:{2,3,4}:{(97,1),(150,1)}
       125:{3,4,5}:{(98,1),(108,1),(152,1),(153,1)}
       126:{2,4,6}:{(98,1),(99,1),(153,1),(154,1)}
       127:{2,3,5,7}:{(99,1),(100,1),(110,1),(154,1),(163,1)}
       128:{1,2,3,7}:{(101,1),(105,1),(155,1),(209,1)}
       129:{2,3,4,7}:{(101,1),(102,1),(106,1),(114,1),(155,1),(156,1)}
       130:{1,3,4,7}:{(102,1),(107,1),(155,1),(157,1),(196,1),(209,1)}
       131:{3,5,7}:{(102,1),(103,1),(108,1),(158,1)}
       132:{1,2,4,6}:{(103,1),(104,1),(116,1),(148,1),(158,1),(167,1),(191,1),(197,1)}
       133:{1,2,5,6,7}:{(104,1),(110,1),(117,1),(149,1),(159,1),(201,1),(208,1)}
       134:{1,2,4,6}:{(105,1),(106,1),(107,1),(150,1),(155,1),(160,1),(197,1)}
       135:{2,3,5}:{(106,1),(108,1),(118,1),(160,1)}
       136:{1,3,5}:{(107,1),(108,1),(152,1),(160,1)}
       137:{3,5,6}:{(108,1),(109,1),(153,1),(158,1),(163,1)}
       138:{1,2,4,5,7}:{(109,1),(110,1),(120,1),(154,1),(159,1),(163,1),(169,1),(190,1),(196,1),(200,1),(208,1)}
       139:{2,4,6,7}:{(111,1),(112,1),(114,1),(164,1),(167,1)}
       140:{3,5,7}:{(112,1),(113,1),(164,1),(165,1)}
       141:{1,4,5,6}:{(113,1),(116,1),(165,1)}
       142:{2,4,5,7}:{(114,1),(115,1),(118,1),(156,1),(164,1),(167,1)}
       143:{3,4,6}:{(115,1),(116,1),(158,1),(165,1),(167,1)}
       144:{1,4,6,7}:{(116,1),(117,1),(120,1),(168,1)}
       145:{2,4,5,6}:{(118,1),(119,1),(161,1),(167,1),(169,1)}
       146:{3,4,5,7}:{(119,1),(120,1),(163,1),(168,1),(169,1)}
       147:{3,4,5,7}:{(121,1),(125,1),(131,1),(171,1),(172,1),(178,1),(203,1)}
       148:{2,4,6}:{(121,1),(122,1),(172,1)}
       149:{2,3,5,6,7}:{(122,1),(127,1),(133,1),(173,1),(182,1),(203,1)}
       150:{1,2,4}:{(123,1),(124,1),(174,1)}
       151:{2,3,4,5}:{(124,1),(125,1),(135,1),(175,1),(176,1)}
       152:{1,4,5}:{(125,1),(136,1),(177,1)}
       153:{3,4,6}:{(125,1),(126,1),(137,1),(177,1),(178,1)}
       154:{2,4,7}:{(126,1),(127,1),(178,1)}
       155:{1,2,4,7}:{(128,1),(129,1),(130,1),(134,1),(179,1)}
       156:{2,3,5,7}:{(129,1),(131,1),(135,1),(142,1),(179,1),(180,1)}
       157:{1,3,5,7}:{(130,1),(131,1),(136,1),(171,1),(179,1),(181,1)}
       158:{3,6}:{(131,1),(132,1)}
       159:{1,2,4,6,7}:{(132,1),(133,1),(138,1),(144,1),(173,1),(182,1),(188,1),(204,1),(207,1)}
       160:{1,2,5}:{(134,1),(135,1),(136,1)}
       161:{2,3,5,6}:{(135,1),(137,1),(145,1),(176,1),(180,1),(183,1),(184,1)}
       162:{1,3,5,6}:{(136,1),(137,1),(177,1),(181,1),(183,1),(185,1),(202,1),(205,1)}
       163:{3,5,7}:{(137,1),(138,1),(178,1),(182,1)}
       164:{2,5,7}:{(139,1),(140,1),(186,1)}
       165:{3,5,6}:{(140,1),(141,1),(143,1),(186,1)}
       166:{1,4,5,6,7}:{(141,1),(144,1),(187,1)}
       167:{2,4,6}:{(142,1),(143,1),(180,1),(186,1)}
       168:{3,4,6,7}:{(143,1),(144,1),(146,1),(182,1),(187,1),(188,1)}
       169:{2,4,5,7}:{(145,1),(146,1),(184,1),(188,1)}
       170:{2,4,5,6}:{(148,1),(189,1),(190,1)}
       171:{1,4,5,7}:{(147,1),(152,1),(157,1),(191,1),(196,1),(208,1)}
       172:{3,4,6}:{(147,1),(148,1),(158,1),(189,1),(191,1)}
       173:{2,4,6,7}:{(148,1),(149,1),(154,1),(190,1),(192,1)}
       174:{1,3,4}:{(150,1),(193,1)}
       175:{1,2,4,5}:{(150,1),(151,1),(152,1),(160,1),(193,1),(194,1)}
       176:{2,3,4,6}:{(151,1),(153,1),(161,1),(194,1),(195,1)}
       177:{1,4,6}:{(152,1),(153,1),(162,1),(196,1)}
       178:{3,4,7}:{(153,1),(154,1),(163,1),(196,1)}
       179:{1,2,5,7}:{(155,1),(156,1),(157,1),(160,1),(197,1)}
       180:{2,3,6}:{(156,1),(158,1),(167,1),(197,1)}
       181:{1,3,6}:{(157,1),(158,1),(191,1),(197,1)}
       182:{3,6,7}:{(158,1),(159,1),(163,1)}
       183:{1,2,5,6}:{(160,1),(161,1),(162,1),(194,1),(197,1),(200,1)}
       184:{2,3,5,7}:{(161,1),(163,1),(169,1),(195,1),(198,1),(200,1)}
       185:{1,3,5,7}:{(162,1),(163,1),(196,1),(199,1),(200,1),(208,1),(209,1)}
       186:{2,5,6}:{(164,1),(165,1),(167,1)}
       187:{3,5,6,7}:{(165,1),(166,1),(168,1),(201,1)}
       188:{2,4,6,7}:{(167,1),(168,1),(169,1),(198,1),(201,1)}
       189:{3,5,6}:{(170,1),(172,1),(202,1),(203,1)}
       190:{2,4,5,7}:{(170,1),(173,1),(203,1)}
       191:{1,4,6}:{(171,1),(172,1),(181,1),(202,1)}
       192:{3,4,6,7}:{(172,1),(173,1),(178,1),(182,1),(203,1),(204,1)}
       193:{1,3,5}:{(174,1),(175,1),(205,1)}
       194:{1,2,4,6}:{(175,1),(176,1),(177,1),(183,1),(205,1),(206,1)}
       195:{2,3,4,7}:{(176,1),(178,1),(184,1),(206,1)}
       196:{1,4,7}:{(177,1),(178,1),(185,1)}
       197:{1,2,6}:{(179,1),(180,1),(181,1)}
       198:{2,3,6,7}:{(180,1),(182,1),(184,1),(188,1),(207,1)}
       199:{1,3,6,7}:{(181,1),(182,1),(185,1),(204,1),(207,1)}
       200:{1,2,5,7}:{(183,1),(184,1),(185,1),(206,1),(207,1)}
       201:{2,5,6,7}:{(186,1),(187,1),(188,1)}
       202:{1,5,6}:{(189,1),(191,1),(208,1)}
       203:{3,5,7}:{(189,1),(190,1),(192,1),(208,1)}
       204:{1,4,6,7}:{(191,1),(192,1),(196,1),(199,1),(208,1)}
       205:{1,3,6}:{(193,1),(194,1),(209,1)}
       206:{1,2,4,7}:{(194,1),(195,1),(196,1),(200,1),(209,1)}
       207:{1,2,6,7}:{(197,1),(198,1),(199,1),(200,1)}
       208:{1,5,7}:{(202,1),(203,1),(204,1)}
       209:{1,3,7}:{(205,1),(206,1)}

 994 :   0:{1,2,4,5,6}:{(1,1),(2,1),(10,1),(11,1),(13,1),(40,1),(78,1),(79,1),(80,1),(81,1),(99,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(59,1),(90,1),(101,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(26,1),(27,1),(29,1),(66,1),(67,1),(68,1)}
         3:{3,4,6}:{(1,1),(9,1),(10,1),(11,1),(12,1),(44,1),(76,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(13,1),(14,1),(18,1),(44,1),(53,1),(72,1),(79,1),(95,1),(97,1),(103,1)}
         5:{2,3,5,6}:{(1,1),(11,1),(13,1),(15,1),(37,1),(44,1),(51,1),(74,1),(80,1),(85,1),(97,1),(99,1)}
         6:{3,5,7}:{(1,1),(2,1),(12,1),(16,1)}
         7:{1,2,4,6,7}:{(2,1),(16,1),(17,1),(46,1),(47,1),(49,1),(50,1),(78,1)}
         8:{1,3,4,6}:{(10,1),(18,1),(19,1),(20,1),(44,1),(53,1),(76,1),(96,1)}
         9:{3,4,5}:{(3,1),(22,1),(23,1),(59,1),(101,1)}
        10:{1,4,6}:{(3,1),(4,1),(22,1),(26,1),(86,1),(102,1)}
        11:{2,4,6}:{(3,1),(5,1),(23,1),(27,1),(69,1),(102,1)}
        12:{3,4,7}:{(3,1),(6,1),(26,1),(27,1),(64,1)}
        13:{1,2,5,6}:{(4,1),(5,1),(25,1),(29,1),(33,1),(55,1),(71,1),(88,1)}
        14:{1,3,5,7}:{(4,1),(6,1),(26,1),(29,1),(30,1),(64,1),(66,1),(92,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(27,1),(29,1),(31,1),(64,1),(67,1),(92,1)}
        16:{3,6,7}:{(6,1),(7,1),(90,1)}
        17:{1,2,5,6,7}:{(7,1),(32,1),(66,1),(67,1),(91,1)}
        18:{1,3,5}:{(8,1),(22,1),(33,1),(59,1),(101,1)}
        19:{1,2,4,6}:{(8,1),(33,1),(35,1),(36,1),(69,1),(71,1),(93,1)}
        20:{1,3,4,7}:{(8,1),(26,1),(34,1),(36,1),(64,1),(89,1)}
        21:{2,3,4,6}:{(11,1),(37,1),(38,1),(39,1),(44,1),(74,1),(76,1),(96,1)}
        22:{1,4,5}:{(9,1),(10,1),(18,1),(103,1),(104,1)}
        23:{2,4,5}:{(9,1),(11,1),(37,1),(99,1),(104,1)}
        24:{3,4,5,7}:{(9,1),(12,1),(41,1),(42,1),(43,1),(48,1),(77,1),(98,1),(104,1)}
        25:{1,2,4,6}:{(10,1),(11,1),(13,1),(40,1),(44,1),(45,1)}
        26:{1,4,7}:{(10,1),(12,1),(14,1),(98,1)}
        27:{2,4,7}:{(11,1),(12,1),(15,1),(98,1)}
        28:{3,4,6,7}:{(12,1),(16,1),(43,1),(46,1),(47,1),(48,1),(50,1),(82,1),(96,1),(98,1)}
        29:{1,2,5,7}:{(13,1),(14,1),(15,1),(45,1),(49,1)}
        30:{1,3,6,7}:{(14,1),(16,1),(46,1),(49,1),(53,1),(82,1),(95,1)}
        31:{2,3,6,7}:{(15,1),(16,1),(47,1),(49,1),(74,1),(82,1),(85,1)}
        32:{3,5,6,7}:{(16,1),(17,1),(48,1),(50,1),(97,1)}
        33:{1,2,5}:{(18,1),(19,1),(51,1),(99,1)}
        34:{1,3,5,7}:{(18,1),(20,1),(41,1),(52,1),(53,1),(77,1)}
        35:{2,3,6}:{(19,1),(44,1),(51,1),(54,1)}
        36:{1,2,4,7}:{(19,1),(20,1),(52,1),(54,1),(84,1)}
        37:{2,3,5}:{(21,1),(23,1),(55,1),(59,1),(101,1)}
        38:{1,2,4,6}:{(21,1),(55,1),(57,1),(58,1),(86,1),(88,1),(100,1)}
        39:{2,3,4,7}:{(21,1),(27,1),(56,1),(58,1),(64,1),(89,1)}
        40:{1,2,4,5}:{(22,1),(23,1),(25,1),(33,1),(55,1),(59,1),(69,1),(86,1)}
        41:{1,4,5,7}:{(22,1),(24,1),(26,1),(34,1),(61,1),(66,1)}
        42:{2,4,5,7}:{(23,1),(24,1),(27,1),(56,1),(62,1),(67,1)}
        43:{3,4,6}:{(24,1),(61,1),(62,1),(63,1),(90,1),(102,1)}
        44:{3,6}:{(25,1),(59,1),(64,1)}
        45:{1,2,4,7}:{(25,1),(26,1),(27,1),(29,1),(64,1)}
        46:{1,4,6,7}:{(26,1),(28,1),(30,1),(61,1),(66,1),(100,1)}
        47:{2,4,6,7}:{(27,1),(28,1),(31,1),(62,1),(67,1),(93,1)}
        48:{3,5,7}:{(28,1),(63,1),(66,1),(67,1),(68,1),(101,1)}
        49:{1,2,6,7}:{(29,1),(30,1),(31,1),(71,1),(88,1)}
        50:{4,6,7}:{(32,1),(68,1),(102,1)}
        51:{2,3,5}:{(33,1),(35,1),(59,1),(69,1)}
        52:{1,2,5,7}:{(33,1),(34,1),(36,1),(70,1),(71,1)}
        53:{1,3,6}:{(34,1),(61,1),(71,1),(90,1)}
        54:{2,3,7}:{(35,1),(36,1),(64,1)}
        55:{1,2,5}:{(37,1),(38,1),(72,1),(103,1)}
        56:{2,3,5,7}:{(37,1),(39,1),(42,1),(73,1),(74,1),(77,1)}
        57:{1,3,6}:{(38,1),(44,1),(72,1),(75,1)}
        58:{1,2,4,7}:{(38,1),(39,1),(73,1),(75,1),(94,1)}
        59:{3,5}:{(40,1),(44,1),(76,1)}
        60:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(45,1),(52,1),(73,1),(77,1),(78,1),(83,1),(84,1),(94,1),(98,1),(99,1),(103,1),(104,1)}
        61:{1,4,6}:{(41,1),(43,1),(53,1),(79,1)}
        62:{2,4,6}:{(42,1),(43,1),(74,1),(80,1)}
        63:{3,5,6}:{(43,1),(48,1),(79,1),(80,1),(81,1)}
        64:{3,7}:{(44,1),(45,1)}
        65:{1,2,4,6,7}:{(45,1),(46,1),(47,1),(49,1),(78,1),(82,1),(83,1),(98,1)}
        66:{1,5,7}:{(46,1),(48,1),(79,1),(103,1)}
        67:{2,5,7}:{(47,1),(48,1),(80,1),(99,1)}
        68:{4,5,7}:{(48,1),(50,1),(81,1),(98,1),(104,1)}
        69:{2,4}:{(51,1),(76,1)}
        70:{2,3,5,7}:{(51,1),(52,1),(54,1),(77,1),(84,1),(85,1),(99,1)}
        71:{1,2,6}:{(52,1),(53,1),(85,1)}
        72:{1,3,5}:{(55,1),(57,1),(59,1),(86,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(58,1),(87,1),(88,1)}
        74:{2,3,6}:{(56,1),(62,1),(88,1),(90,1)}
        75:{1,3,7}:{(57,1),(58,1),(64,1)}
        76:{3,4}:{(59,1),(69,1),(86,1)}
        77:{3,5,7}:{(59,1),(60,1),(64,1),(89,1),(90,1),(101,1)}
        78:{1,2,4,6}:{(60,1),(61,1),(62,1),(71,1),(88,1),(90,1),(91,1),(93,1),(100,1),(102,1)}
        79:{1,5,6}:{(61,1),(63,1),(66,1)}
        80:{2,5,6}:{(62,1),(63,1),(67,1)}
        81:{4,5,6}:{(63,1),(68,1),(102,1)}
        82:{3,6,7}:{(64,1),(65,1),(90,1),(92,1)}
        83:{1,2,5,7}:{(65,1),(66,1),(67,1),(91,1),(92,1)}
        84:{2,4,7}:{(69,1),(70,1),(89,1),(93,1)}
        85:{2,3,6}:{(70,1),(71,1),(90,1),(93,1)}
        86:{1,4}:{(72,1),(76,1)}
        87:{1,3,5,7}:{(72,1),(73,1),(75,1),(77,1),(94,1),(95,1),(103,1)}
        88:{1,2,6}:{(73,1),(74,1),(95,1)}
        89:{3,4,7}:{(76,1),(77,1),(84,1),(94,1),(96,1),(98,1)}
        90:{3,6}:{(77,1),(78,1)}
        91:{1,2,5,6}:{(78,1),(79,1),(80,1),(83,1),(97,1),(99,1),(103,1)}
        92:{3,5,7}:{(82,1),(83,1),(97,1),(98,1)}
        93:{2,4,6}:{(84,1),(85,1),(96,1),(99,1)}
        94:{1,4,7}:{(86,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(87,1),(88,1),(90,1),(100,1)}
        96:{3,4,6}:{(89,1),(90,1),(93,1),(100,1),(101,1),(102,1)}
        97:{3,5,6}:{(90,1),(91,1),(92,1),(101,1),(102,1)}
        98:{4,7}:{(92,1),(102,1)}
        99:{2,5}:{(93,1),(101,1)}
       100:{1,4,6}:{(94,1),(95,1),(96,1),(103,1)}
       101:{3,5}:{(96,1),(99,1),(103,1),(104,1)}
       102:{4,6}:{(97,1),(98,1),(104,1)}
       103:{1,5}:{(100,1),(101,1)}
       104:{4,5}:{(101,1),(102,1)}

 995 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(26,1),(160,1),(171,1),(207,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(63,1),(68,1),(116,1)}
         2:{3,4,5,7}:{(0,1),(10,1),(11,1),(12,1),(43,1),(141,1)}
         3:{1,4,5,6}:{(0,1),(7,1),(11,1),(181,1),(216,1)}
         4:{2,4,5,6}:{(0,1),(8,1),(12,1),(144,1),(197,1)}
         5:{2,3,4,6}:{(1,1),(8,1),(14,1),(15,1),(44,1)}
         6:{1,2,4,5}:{(1,1),(15,1),(16,1),(48,1),(82,1),(89,1)}
         7:{1,3,5,6}:{(3,1),(17,1),(18,1),(19,1),(26,1),(155,1),(204,1)}
         8:{2,3,5,6}:{(4,1),(5,1),(20,1),(21,1),(26,1),(116,1),(175,1)}
         9:{4,5,6,7}:{(22,1),(111,1),(226,1)}
        10:{3,4,6,7}:{(2,1),(22,1),(23,1),(24,1),(61,1),(111,1),(207,1)}
        11:{1,4,5,7}:{(2,1),(3,1),(18,1),(23,1)}
        12:{2,4,5,7}:{(2,1),(4,1),(20,1),(24,1)}
        13:{1,2,4,5,6}:{(3,1),(4,1),(19,1),(21,1),(25,1),(26,1),(56,1),(59,1),(104,1),(165,1),(167,1),(169,1),(171,1)}
        14:{2,3,4,7}:{(5,1),(20,1),(27,1),(62,1)}
        15:{1,2,4,6}:{(5,1),(6,1),(21,1),(27,1),(28,1),(59,1)}
        16:{1,3,5}:{(6,1),(28,1),(30,1)}
        17:{1,3,4,6}:{(7,1),(31,1),(32,1),(33,1),(44,1)}
        18:{1,3,5,7}:{(7,1),(11,1),(32,1),(34,1),(35,1),(43,1)}
        19:{1,2,5,6}:{(7,1),(33,1),(35,1),(36,1),(127,1),(184,1)}
        20:{2,3,5,7}:{(8,1),(12,1),(14,1),(37,1),(38,1),(43,1)}
        21:{1,2,5,6}:{(8,1),(15,1),(38,1),(39,1),(89,1),(147,1)}
        22:{3,5,6,7}:{(9,1),(10,1),(40,1),(41,1),(219,1)}
        23:{1,4,6,7}:{(10,1),(11,1),(34,1),(40,1),(216,1)}
        24:{2,4,6,7}:{(10,1),(12,1),(37,1),(41,1),(197,1)}
        25:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(35,1),(38,1),(42,1),(43,1),(78,1),(81,1),(135,1),(138,1),(141,1)}
        26:{3,5,6}:{(13,1),(43,1),(44,1),(131,1),(190,1)}
        27:{1,2,4,7}:{(14,1),(15,1),(38,1),(46,1),(81,1)}
        28:{1,3,6}:{(15,1),(16,1),(46,1)}
        29:{1,2,3,5}:{(16,1),(45,1),(48,1),(89,1),(92,1)}
        30:{1,3,4}:{(16,1),(48,1)}
        31:{1,3,4,5}:{(17,1),(50,1),(63,1),(151,1),(155,1)}
        32:{1,3,4,7}:{(17,1),(18,1),(51,1),(62,1)}
        33:{1,2,4,6}:{(17,1),(19,1),(50,1),(51,1),(52,1),(56,1)}
        34:{1,3,6,7}:{(18,1),(23,1),(54,1),(61,1),(204,1)}
        35:{1,2,5,7}:{(18,1),(19,1),(51,1),(54,1),(55,1)}
        36:{2,3,5,6}:{(19,1),(26,1),(52,1),(55,1),(56,1),(100,1),(158,1),(167,1)}
        37:{2,3,6,7}:{(20,1),(24,1),(57,1),(61,1),(175,1)}
        38:{1,2,5,7}:{(20,1),(21,1),(27,1),(57,1),(58,1)}
        39:{1,3,5,6}:{(21,1),(26,1),(28,1),(58,1),(59,1),(67,1),(119,1),(169,1)}
        40:{1,5,6,7}:{(22,1),(23,1),(224,1)}
        41:{2,5,6,7}:{(22,1),(24,1),(213,1)}
        42:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(54,1),(57,1),(60,1),(61,1),(105,1),(108,1),(111,1),(165,1)}
        43:{3,5,7}:{(25,1),(26,1),(61,1),(62,1)}
        44:{3,4,6}:{(26,1),(56,1),(59,1),(62,1),(63,1)}
        45:{1,2,3,6}:{(28,1),(29,1),(64,1),(65,1),(121,1)}
        46:{1,3,7}:{(27,1),(28,1)}
        47:{1,3,4,6}:{(28,1),(30,1),(59,1),(65,1),(66,1),(67,1),(101,1),(119,1)}
        48:{1,2,4}:{(29,1),(30,1),(68,1)}
        49:{1,3,4,5}:{(30,1),(67,1),(69,1),(70,1),(160,1)}
        50:{1,2,4,5}:{(31,1),(33,1),(71,1),(79,1),(123,1),(127,1)}
        51:{1,2,4,7}:{(32,1),(33,1),(35,1),(73,1),(78,1)}
        52:{2,3,6}:{(33,1),(71,1),(73,1)}
        53:{1,2,3,5,6}:{(36,1),(39,1),(45,1),(72,1),(75,1),(76,1),(89,1),(127,1),(131,1),(146,1),(147,1),(183,1),(184,1),(190,1),(192,1)}
        54:{1,2,6,7}:{(34,1),(35,1),(77,1),(184,1)}
        55:{2,3,5,7}:{(35,1),(36,1),(43,1),(73,1),(77,1),(78,1),(135,1)}
        56:{2,4,6}:{(36,1),(44,1),(78,1),(79,1)}
        57:{1,2,6,7}:{(37,1),(38,1),(80,1),(147,1)}
        58:{1,3,5,7}:{(38,1),(39,1),(43,1),(46,1),(80,1),(81,1),(138,1)}
        59:{1,4,6}:{(39,1),(44,1),(81,1),(82,1)}
        60:{1,2,5,6,7}:{(40,1),(41,1),(42,1),(83,1),(135,1),(138,1),(192,1)}
        61:{3,6,7}:{(42,1),(43,1),(190,1)}
        62:{3,4,7}:{(43,1),(44,1),(78,1),(81,1)}
        63:{3,4,5}:{(44,1),(79,1),(82,1),(131,1)}
        64:{1,2,3,7}:{(45,1),(46,1),(88,1),(150,1)}
        65:{1,2,4,6}:{(45,1),(47,1),(48,1),(87,1),(88,1),(89,1),(147,1)}
        66:{1,3,4,7}:{(46,1),(47,1),(81,1),(88,1),(90,1),(130,1)}
        67:{1,3,5}:{(47,1),(82,1),(89,1),(131,1)}
        68:{2,3,4}:{(48,1),(92,1)}
        69:{1,2,4,5}:{(48,1),(49,1),(89,1),(92,1),(93,1),(144,1)}
        70:{1,3,4,6}:{(49,1),(91,1),(93,1),(94,1),(188,1)}
        71:{2,3,5}:{(50,1),(52,1),(96,1)}
        72:{1,2,3,6}:{(52,1),(95,1),(97,1),(98,1),(200,1)}
        73:{2,3,7}:{(51,1),(52,1)}
        74:{2,3,4,6}:{(52,1),(56,1),(96,1),(98,1),(99,1),(100,1),(101,1),(158,1)}
        75:{1,2,3,5,7}:{(53,1),(55,1),(58,1),(64,1),(97,1),(102,1),(103,1),(117,1),(156,1),(162,1),(164,1),(176,1),(205,1)}
        76:{1,2,4,6}:{(53,1),(56,1),(59,1),(101,1),(103,1),(104,1),(174,1),(203,1)}
        77:{2,3,6,7}:{(54,1),(55,1),(61,1),(105,1),(158,1)}
        78:{2,4,7}:{(55,1),(56,1),(62,1)}
        79:{2,4,5}:{(56,1),(63,1),(100,1)}
        80:{1,3,6,7}:{(57,1),(58,1),(61,1),(108,1),(119,1)}
        81:{1,4,7}:{(58,1),(59,1),(62,1)}
        82:{1,4,5}:{(59,1),(63,1),(67,1)}
        83:{3,5,6,7}:{(60,1),(61,1),(111,1),(112,1),(210,1)}
        84:{3,4,6,7}:{(61,1),(62,1),(105,1),(108,1),(111,1),(112,1),(113,1)}
        85:{3,4,5,7}:{(62,1),(63,1),(106,1),(109,1),(112,1),(113,1),(162,1),(209,1)}
        86:{3,4,5,6}:{(63,1),(107,1),(110,1),(113,1),(114,1),(163,1),(226,1)}
        87:{2,3,4,6}:{(65,1),(68,1),(101,1),(115,1),(116,1),(121,1),(174,1),(175,1)}
        88:{1,2,4,7}:{(64,1),(65,1),(66,1),(115,1),(117,1)}
        89:{1,2,5}:{(65,1),(67,1),(116,1)}
        90:{1,3,5,7}:{(66,1),(67,1),(109,1),(117,1),(119,1),(162,1)}
        91:{1,3,5,6}:{(67,1),(70,1),(110,1),(118,1),(119,1),(120,1),(163,1)}
        92:{2,3,5}:{(68,1),(69,1),(121,1)}
        93:{1,2,4,6}:{(69,1),(70,1),(118,1),(121,1),(122,1),(174,1)}
        94:{1,3,4,7}:{(70,1),(120,1),(122,1),(208,1)}
        95:{1,2,3,5}:{(71,1),(72,1),(123,1),(127,1),(178,1)}
        96:{2,3,4}:{(71,1),(123,1)}
        97:{1,2,3,7}:{(72,1),(73,1),(126,1),(215,1)}
        98:{1,2,4,6}:{(72,1),(74,1),(123,1),(125,1),(126,1),(127,1),(184,1)}
        99:{2,3,4,7}:{(73,1),(74,1),(78,1),(126,1),(128,1),(130,1)}
       100:{2,3,5}:{(74,1),(79,1),(127,1),(131,1)}
       101:{3,4,6}:{(76,1),(130,1),(131,1),(190,1)}
       102:{1,2,3,6,7}:{(75,1),(77,1),(80,1),(132,1),(147,1),(184,1),(190,1),(199,1),(218,1)}
       103:{1,2,4,7}:{(75,1),(76,1),(78,1),(81,1),(130,1),(198,1),(217,1)}
       104:{1,2,4,5}:{(76,1),(79,1),(82,1),(89,1),(127,1),(131,1),(144,1),(181,1)}
       105:{2,4,6,7}:{(77,1),(78,1),(84,1),(135,1),(136,1)}
       106:{2,4,5,7}:{(78,1),(79,1),(85,1),(128,1),(135,1),(136,1)}
       107:{2,4,5,6}:{(79,1),(86,1),(129,1),(136,1),(137,1)}
       108:{1,4,6,7}:{(80,1),(81,1),(84,1),(138,1),(139,1)}
       109:{1,4,5,7}:{(81,1),(82,1),(85,1),(90,1),(138,1),(139,1)}
       110:{1,4,5,6}:{(82,1),(86,1),(91,1),(139,1),(140,1)}
       111:{4,6,7}:{(83,1),(141,1),(221,1)}
       112:{3,5,7}:{(84,1),(135,1),(138,1),(141,1),(142,1)}
       113:{3,4,6}:{(85,1),(136,1),(139,1),(142,1),(190,1),(221,1)}
       114:{3,4,5,7}:{(86,1),(137,1),(140,1),(143,1),(191,1),(230,1)}
       115:{2,3,4,7}:{(87,1),(88,1),(130,1),(145,1),(150,1),(198,1)}
       116:{2,3,5}:{(87,1),(89,1),(131,1),(144,1)}
       117:{1,2,5,7}:{(88,1),(89,1),(90,1),(145,1),(147,1)}
       118:{1,2,5,6}:{(89,1),(91,1),(93,1),(146,1),(147,1),(148,1)}
       119:{1,3,6}:{(90,1),(139,1),(147,1),(190,1)}
       120:{1,3,5,7}:{(91,1),(94,1),(140,1),(148,1),(149,1),(191,1)}
       121:{2,3,6}:{(92,1),(93,1),(150,1)}
       122:{1,2,4,7}:{(93,1),(94,1),(148,1),(150,1),(198,1)}
       123:{1,2,4}:{(95,1),(96,1),(151,1)}
       124:{2,3,4,5}:{(96,1),(100,1),(152,1),(153,1),(160,1)}
       125:{1,3,4,6}:{(98,1),(101,1),(151,1),(154,1),(155,1),(200,1),(203,1),(204,1)}
       126:{1,2,4,7}:{(97,1),(98,1),(99,1),(154,1),(156,1)}
       127:{1,2,5}:{(98,1),(100,1),(155,1)}
       128:{2,3,5,7}:{(99,1),(100,1),(106,1),(156,1),(158,1),(162,1)}
       129:{2,3,5,6}:{(100,1),(107,1),(153,1),(157,1),(158,1),(159,1),(163,1)}
       130:{3,4,7}:{(101,1),(103,1),(162,1)}
       131:{3,5}:{(101,1),(104,1)}
       132:{1,2,4,6,7}:{(102,1),(103,1),(105,1),(108,1),(161,1),(164,1),(165,1),(214,1),(225,1)}
       133:{1,2,4,5,7}:{(103,1),(104,1),(106,1),(109,1),(117,1),(156,1),(162,1),(164,1),(165,1),(173,1),(202,1),(209,1)}
       134:{1,2,4,5,6}:{(104,1),(107,1),(110,1),(118,1),(157,1),(163,1),(165,1),(166,1),(174,1),(203,1),(213,1),(224,1),(226,1)}
       135:{2,5,7}:{(105,1),(112,1),(167,1)}
       136:{2,4,6}:{(106,1),(113,1),(158,1),(167,1)}
       137:{2,4,5,7}:{(107,1),(114,1),(159,1),(168,1)}
       138:{1,5,7}:{(108,1),(112,1),(169,1)}
       139:{1,4,6}:{(109,1),(113,1),(119,1),(169,1)}
       140:{1,4,5,7}:{(110,1),(114,1),(120,1),(170,1)}
       141:{4,5,7}:{(111,1),(112,1),(171,1)}
       142:{3,5,6}:{(112,1),(113,1),(167,1),(169,1),(171,1)}
       143:{3,4,6,7}:{(113,1),(114,1),(168,1),(170,1),(172,1),(211,1),(228,1)}
       144:{2,4,5}:{(116,1),(160,1),(174,1)}
       145:{2,3,5,7}:{(115,1),(116,1),(117,1),(162,1),(173,1),(175,1)}
       146:{2,3,5,6}:{(116,1),(118,1),(121,1),(163,1),(174,1),(175,1),(176,1),(213,1)}
       147:{1,2,6}:{(117,1),(119,1),(175,1)}
       148:{1,2,5,7}:{(118,1),(120,1),(122,1),(176,1),(177,1)}
       149:{1,3,6,7}:{(119,1),(120,1),(170,1),(177,1),(211,1)}
       150:{2,3,7}:{(121,1),(122,1)}
       151:{1,3,4}:{(123,1),(178,1)}
       152:{1,2,4,5}:{(123,1),(124,1),(127,1),(178,1),(179,1),(181,1)}
       153:{2,3,4,6}:{(124,1),(129,1),(179,1),(180,1),(188,1)}
       154:{1,3,4,7}:{(125,1),(126,1),(130,1),(182,1),(215,1),(217,1)}
       155:{1,3,5}:{(125,1),(127,1),(131,1),(181,1)}
       156:{1,2,5,7}:{(126,1),(127,1),(128,1),(182,1),(184,1)}
       157:{1,2,5,6}:{(127,1),(129,1),(179,1),(183,1),(184,1),(185,1)}
       158:{2,3,6}:{(128,1),(136,1),(184,1),(190,1)}
       159:{2,3,5,7}:{(129,1),(137,1),(180,1),(185,1),(186,1),(191,1)}
       160:{3,4,5}:{(131,1),(144,1),(181,1),(188,1)}
       161:{3,4,6,7}:{(130,1),(132,1),(189,1),(190,1),(221,1)}
       162:{3,5,7}:{(130,1),(131,1),(133,1),(190,1)}
       163:{3,5,6}:{(131,1),(134,1),(188,1),(190,1),(191,1)}
       164:{1,2,5,7}:{(132,1),(135,1),(138,1),(189,1),(192,1),(223,1),(229,1)}
       165:{1,2,4,6}:{(133,1),(136,1),(139,1),(147,1),(184,1),(190,1),(192,1),(197,1),(216,1),(221,1)}
       166:{1,2,4,5,7}:{(134,1),(137,1),(140,1),(148,1),(185,1),(191,1),(193,1),(198,1),(217,1),(223,1),(229,1),(230,1)}
       167:{2,5,6}:{(135,1),(136,1),(142,1)}
       168:{2,4,6,7}:{(136,1),(137,1),(143,1),(186,1),(194,1)}
       169:{1,5,6}:{(138,1),(139,1),(142,1)}
       170:{1,4,6,7}:{(139,1),(140,1),(143,1),(149,1),(195,1)}
       171:{4,5,6}:{(141,1),(142,1),(221,1)}
       172:{3,5,6,7}:{(142,1),(143,1),(194,1),(195,1),(196,1)}
       173:{2,4,5,7}:{(144,1),(145,1),(187,1),(197,1),(198,1),(223,1)}
       174:{2,4,6}:{(144,1),(146,1),(188,1),(198,1)}
       175:{2,3,6}:{(145,1),(147,1),(190,1),(197,1)}
       176:{2,3,5,7}:{(146,1),(148,1),(150,1),(191,1),(198,1),(199,1),(223,1)}
       177:{1,2,6,7}:{(147,1),(148,1),(149,1),(199,1)}
       178:{1,3,5}:{(151,1),(152,1),(200,1)}
       179:{1,2,4,6}:{(152,1),(153,1),(157,1),(200,1),(201,1),(203,1)}
       180:{2,3,4,7}:{(153,1),(159,1),(201,1),(208,1)}
       181:{1,4,5}:{(155,1),(160,1),(203,1)}
       182:{1,3,5,7}:{(154,1),(155,1),(156,1),(162,1),(202,1),(204,1)}
       183:{1,3,5,6}:{(155,1),(157,1),(163,1),(200,1),(203,1),(204,1),(205,1),(224,1)}
       184:{1,2,6}:{(156,1),(158,1),(204,1)}
       185:{1,2,5,7}:{(157,1),(159,1),(201,1),(205,1),(206,1)}
       186:{2,3,6,7}:{(158,1),(159,1),(168,1),(206,1),(211,1)}
       187:{3,4,5,7}:{(160,1),(162,1),(173,1),(202,1),(207,1),(208,1),(209,1),(227,1)}
       188:{3,4,6}:{(160,1),(163,1),(174,1),(203,1),(208,1)}
       189:{3,5,7}:{(161,1),(164,1),(209,1),(210,1)}
       190:{3,6}:{(162,1),(165,1)}
       191:{3,5,7}:{(163,1),(166,1),(208,1),(211,1)}
       192:{1,2,5,6}:{(164,1),(165,1),(167,1),(169,1),(210,1),(213,1),(224,1)}
       193:{1,2,4,6,7}:{(165,1),(166,1),(168,1),(170,1),(177,1),(206,1),(211,1),(212,1),(214,1),(225,1),(228,1)}
       194:{2,5,6,7}:{(167,1),(168,1),(172,1)}
       195:{1,5,6,7}:{(169,1),(170,1),(172,1)}
       196:{4,5,6,7}:{(171,1),(172,1),(228,1)}
       197:{2,4,6}:{(173,1),(175,1),(207,1),(213,1)}
       198:{2,4,7}:{(174,1),(176,1),(208,1)}
       199:{2,3,6,7}:{(175,1),(176,1),(177,1),(211,1),(214,1)}
       200:{1,3,6}:{(178,1),(179,1),(215,1)}
       201:{1,2,4,7}:{(179,1),(180,1),(185,1),(215,1),(217,1)}
       202:{1,4,5,7}:{(181,1),(182,1),(187,1),(216,1),(217,1),(229,1)}
       203:{1,4,6}:{(181,1),(183,1),(188,1),(217,1)}
       204:{1,3,6}:{(182,1),(184,1),(190,1),(216,1)}
       205:{1,3,5,7}:{(183,1),(185,1),(191,1),(215,1),(217,1),(218,1),(229,1)}
       206:{1,2,6,7}:{(184,1),(185,1),(186,1),(218,1)}
       207:{3,4,6}:{(187,1),(190,1),(197,1),(216,1),(219,1),(221,1)}
       208:{3,4,7}:{(188,1),(191,1),(198,1),(217,1)}
       209:{4,5,7}:{(189,1),(221,1)}
       210:{3,5,6}:{(189,1),(190,1),(192,1),(221,1)}
       211:{3,6,7}:{(190,1),(191,1),(193,1)}
       212:{1,2,5,6,7}:{(192,1),(193,1),(194,1),(195,1),(222,1),(223,1),(229,1)}
       213:{2,5,6}:{(197,1),(219,1),(223,1)}
       214:{2,4,6,7}:{(197,1),(198,1),(199,1),(220,1),(223,1)}
       215:{1,3,7}:{(200,1),(201,1)}
       216:{1,4,6}:{(202,1),(204,1),(207,1),(224,1)}
       217:{1,4,7}:{(203,1),(205,1),(208,1)}
       218:{1,3,6,7}:{(204,1),(205,1),(206,1),(211,1),(225,1)}
       219:{3,5,6}:{(207,1),(213,1),(224,1),(226,1),(227,1)}
       220:{3,4,6,7}:{(207,1),(208,1),(211,1),(214,1),(225,1),(227,1),(228,1)}
       221:{4,6}:{(209,1),(210,1)}
       222:{3,5,6,7}:{(210,1),(211,1),(212,1),(227,1),(228,1)}
       223:{2,5,7}:{(213,1),(214,1),(227,1)}
       224:{1,5,6}:{(216,1),(219,1),(229,1)}
       225:{1,4,6,7}:{(216,1),(217,1),(218,1),(220,1),(229,1)}
       226:{4,5,6}:{(219,1),(221,1),(230,1)}
       227:{3,5,7}:{(219,1),(220,1),(223,1),(229,1),(230,1)}
       228:{4,6,7}:{(221,1),(222,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(227,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

 996 :   0:{2,4,5,6,7}:{(1,1),(9,1),(194,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(202,1)}
         2:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(31,1),(192,1)}
         3:{1,5,6,7}:{(1,1),(8,1),(206,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(27,1),(31,1),(160,1)}
         5:{3,4,5,6}:{(7,1),(11,1),(12,1),(36,1),(165,1),(192,1)}
         6:{2,3,4,5,7}:{(13,1),(14,1),(27,1),(61,1),(71,1),(74,1),(105,1),(120,1),(155,1),(159,1)}
         7:{3,4,5,7}:{(2,1),(5,1),(15,1),(16,1),(44,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(200,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(179,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(19,1),(20,1),(43,1),(84,1),(135,1)}
        11:{1,4,5,6}:{(5,1),(15,1),(21,1),(181,1),(200,1)}
        12:{2,4,5,6}:{(5,1),(16,1),(22,1),(145,1),(179,1)}
        13:{2,3,4,6}:{(6,1),(22,1),(24,1),(52,1),(131,1),(177,1),(179,1)}
        14:{1,2,4,5,7}:{(6,1),(24,1),(25,1),(43,1),(55,1),(81,1),(92,1),(95,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(11,1),(26,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(12,1),(27,1)}
        17:{1,3,6,7}:{(8,1),(26,1),(29,1),(31,1),(190,1)}
        18:{2,3,4,6,7}:{(9,1),(13,1),(27,1),(30,1),(31,1),(61,1),(63,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(28,1),(29,1),(31,1),(32,1),(63,1),(156,1)}
        20:{1,3,5,6,7}:{(10,1),(31,1),(32,1),(60,1),(65,1),(111,1)}
        21:{1,3,5,6}:{(11,1),(26,1),(33,1),(34,1),(36,1),(162,1),(190,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(27,1),(35,1),(36,1),(110,1),(120,1)}
        23:{1,2,4,5,6}:{(11,1),(12,1),(28,1),(34,1),(35,1),(36,1),(66,1),(69,1),(70,1),(110,1),(116,1),(156,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(35,1),(37,1),(70,1)}
        25:{1,3,5,7}:{(14,1),(37,1),(39,1),(73,1),(155,1)}
        26:{1,3,5,7}:{(15,1),(17,1),(21,1),(41,1),(42,1),(44,1)}
        27:{2,3,5,7}:{(16,1),(18,1),(22,1),(43,1),(44,1),(84,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(19,1),(23,1),(42,1),(43,1),(44,1),(48,1),(80,1),(81,1),(84,1)}
        29:{1,2,6,7}:{(17,1),(42,1),(45,1),(174,1)}
        30:{1,2,4,6,7}:{(18,1),(24,1),(43,1),(46,1),(81,1)}
        31:{3,6,7}:{(19,1),(44,1),(177,1)}
        32:{1,4,6,7}:{(20,1),(47,1),(48,1),(81,1),(132,1)}
        33:{1,3,4,6}:{(21,1),(40,1),(41,1),(49,1),(52,1)}
        34:{1,2,5,6}:{(21,1),(42,1),(49,1),(50,1),(139,1),(174,1)}
        35:{1,2,5,6}:{(22,1),(24,1),(43,1),(51,1),(95,1)}
        36:{3,5,6}:{(23,1),(44,1),(52,1),(141,1),(177,1)}
        37:{1,3,6}:{(24,1),(25,1),(177,1)}
        38:{1,2,3,5,7}:{(25,1),(53,1),(55,1),(95,1),(97,1)}
        39:{1,3,4,7}:{(25,1),(54,1),(55,1),(81,1),(129,1)}
        40:{1,3,4,5}:{(33,1),(57,1),(71,1),(149,1),(162,1)}
        41:{1,3,4,7}:{(26,1),(33,1),(58,1),(61,1)}
        42:{1,2,5,7}:{(26,1),(29,1),(34,1),(58,1),(59,1)}
        43:{1,2,5,7}:{(27,1),(30,1),(35,1),(60,1)}
        44:{3,5,7}:{(28,1),(31,1),(36,1),(61,1)}
        45:{2,3,6,7}:{(29,1),(31,1),(59,1),(63,1),(154,1)}
        46:{1,3,6,7}:{(30,1),(31,1),(37,1),(60,1)}
        47:{3,4,6,7}:{(31,1),(32,1),(61,1),(63,1),(65,1),(107,1)}
        48:{1,4,5,7}:{(32,1),(65,1),(66,1)}
        49:{1,2,4,6}:{(33,1),(34,1),(57,1),(58,1),(67,1),(69,1)}
        50:{2,3,5,6}:{(34,1),(36,1),(59,1),(67,1),(69,1),(110,1),(114,1),(154,1)}
        51:{1,3,5,6}:{(35,1),(36,1),(37,1),(60,1),(70,1),(73,1)}
        52:{3,4,6}:{(36,1),(61,1),(69,1),(70,1),(71,1)}
        53:{1,2,3,6}:{(37,1),(38,1),(72,1),(123,1)}
        54:{1,3,4,6}:{(37,1),(39,1),(70,1),(72,1),(73,1),(115,1)}
        55:{1,2,4,7}:{(38,1),(39,1),(72,1),(74,1)}
        56:{1,3,4,5,7}:{(39,1),(73,1),(75,1),(76,1),(106,1),(122,1),(155,1),(165,1),(189,1),(198,1)}
        57:{1,2,4,5}:{(40,1),(49,1),(77,1),(91,1),(125,1),(139,1)}
        58:{1,2,4,7}:{(41,1),(42,1),(49,1),(78,1),(80,1)}
        59:{2,3,5,7}:{(42,1),(44,1),(45,1),(50,1),(78,1),(80,1),(84,1)}
        60:{1,3,5,7}:{(43,1),(44,1),(46,1),(51,1),(81,1)}
        61:{3,4,7}:{(44,1),(52,1),(80,1),(81,1)}
        62:{1,2,3,6,7}:{(45,1),(46,1),(53,1),(79,1),(83,1),(148,1),(174,1),(177,1),(201,1)}
        63:{2,4,6,7}:{(45,1),(47,1),(80,1),(84,1),(131,1)}
        64:{1,3,4,6,7}:{(46,1),(47,1),(54,1),(81,1),(83,1),(85,1),(129,1),(132,1),(177,1)}
        65:{3,5,7}:{(47,1),(48,1),(84,1),(86,1)}
        66:{1,4,5,6}:{(48,1),(86,1),(132,1)}
        67:{2,3,6}:{(49,1),(77,1),(78,1)}
        68:{1,2,3,5,6}:{(50,1),(51,1),(53,1),(79,1),(88,1),(90,1),(95,1),(135,1),(139,1),(141,1),(146,1),(174,1),(177,1),(182,1)}
        69:{2,4,6}:{(50,1),(52,1),(80,1),(91,1)}
        70:{1,4,6}:{(51,1),(52,1),(81,1),(92,1)}
        71:{3,4,5}:{(52,1),(91,1),(92,1),(141,1)}
        72:{1,2,4,6}:{(53,1),(54,1),(55,1),(94,1),(95,1)}
        73:{1,3,5}:{(54,1),(92,1),(95,1),(141,1)}
        74:{2,3,4,7}:{(55,1),(94,1),(97,1),(129,1),(186,1)}
        75:{1,2,4,5,7}:{(55,1),(56,1),(95,1),(97,1),(98,1),(145,1),(147,1),(186,1)}
        76:{1,3,4,6}:{(56,1),(96,1),(98,1),(132,1),(177,1),(184,1),(200,1)}
        77:{2,3,5}:{(57,1),(67,1),(101,1)}
        78:{2,3,7}:{(58,1),(67,1)}
        79:{1,2,3,5,7}:{(59,1),(60,1),(62,1),(68,1),(102,1),(104,1),(109,1),(153,1),(155,1),(169,1),(197,1)}
        80:{2,4,7}:{(59,1),(61,1),(69,1)}
        81:{1,4,7}:{(60,1),(61,1),(70,1)}
        82:{3,4,5,7}:{(61,1),(65,1),(71,1),(105,1),(106,1),(107,1),(155,1)}
        83:{1,2,4,6,7}:{(62,1),(63,1),(64,1),(72,1),(104,1),(108,1),(109,1),(156,1),(207,1)}
        84:{2,5,7}:{(63,1),(65,1),(110,1)}
        85:{1,3,5,7}:{(64,1),(65,1),(73,1),(106,1),(109,1),(111,1),(155,1)}
        86:{3,5,6}:{(65,1),(66,1),(107,1),(110,1)}
        87:{1,4,5,6,7}:{(66,1),(112,1),(158,1)}
        88:{1,2,3,6}:{(67,1),(100,1),(102,1),(113,1),(187,1)}
        89:{2,3,4,6}:{(67,1),(69,1),(101,1),(103,1),(113,1),(114,1),(115,1),(154,1)}
        90:{1,2,4,6}:{(68,1),(69,1),(70,1),(104,1),(115,1),(116,1),(168,1),(196,1)}
        91:{2,4,5}:{(69,1),(71,1),(114,1)}
        92:{1,4,5}:{(70,1),(71,1),(73,1)}
        93:{3,4,5,6}:{(71,1),(107,1),(117,1),(118,1),(119,1),(166,1)}
        94:{2,3,4,6}:{(72,1),(74,1),(115,1),(120,1),(123,1),(168,1)}
        95:{1,2,5}:{(72,1),(73,1),(120,1)}
        96:{1,3,5,6}:{(73,1),(76,1),(118,1),(121,1),(122,1),(166,1),(206,1)}
        97:{2,3,5,7}:{(74,1),(75,1),(120,1),(123,1),(155,1)}
        98:{1,2,4,6}:{(75,1),(76,1),(121,1),(123,1),(168,1)}
        99:{1,3,4,6,7}:{(76,1),(122,1),(124,1),(158,1),(193,1),(198,1),(207,1)}
       100:{1,2,3,5}:{(77,1),(88,1),(125,1),(139,1),(170,1)}
       101:{2,3,4}:{(77,1),(125,1)}
       102:{1,2,3,7}:{(78,1),(88,1),(127,1),(199,1)}
       103:{2,3,4,7}:{(78,1),(80,1),(89,1),(127,1),(128,1),(129,1)}
       104:{1,2,4,7}:{(79,1),(80,1),(81,1),(90,1),(129,1),(186,1),(205,1)}
       105:{2,4,5,7}:{(80,1),(82,1),(84,1),(91,1),(128,1),(131,1)}
       106:{1,4,5,7}:{(81,1),(82,1),(85,1),(92,1),(132,1)}
       107:{3,4,6}:{(82,1),(86,1),(131,1),(132,1),(177,1)}
       108:{2,3,4,6,7}:{(83,1),(94,1),(129,1),(134,1),(148,1),(177,1),(179,1),(186,1),(203,1)}
       109:{1,2,5,7}:{(83,1),(84,1),(85,1),(95,1),(134,1),(135,1),(209,1)}
       110:{2,5,6}:{(84,1),(86,1),(131,1)}
       111:{1,3,5,6}:{(85,1),(86,1),(132,1),(135,1),(177,1)}
       112:{3,5,6,7}:{(86,1),(87,1),(133,1),(136,1)}
       113:{1,2,4,6}:{(88,1),(89,1),(125,1),(127,1),(138,1),(139,1),(174,1)}
       114:{2,3,5}:{(89,1),(91,1),(139,1),(141,1)}
       115:{3,4,6}:{(90,1),(129,1),(141,1),(177,1)}
       116:{1,2,4,5}:{(90,1),(91,1),(92,1),(95,1),(139,1),(141,1),(145,1),(181,1)}
       117:{2,4,5,6}:{(91,1),(93,1),(131,1),(140,1),(143,1)}
       118:{1,4,5,6}:{(92,1),(93,1),(96,1),(132,1),(144,1)}
       119:{3,4,5,7}:{(93,1),(133,1),(143,1),(144,1),(185,1)}
       120:{2,3,5}:{(94,1),(95,1),(141,1),(145,1)}
       121:{1,2,5,6}:{(95,1),(96,1),(98,1),(146,1),(147,1)}
       122:{1,3,5,7}:{(96,1),(99,1),(144,1),(147,1),(185,1),(209,1)}
       123:{2,3,6}:{(97,1),(98,1),(177,1)}
       124:{1,2,4,6,7}:{(98,1),(99,1),(147,1),(148,1),(186,1)}
       125:{1,2,4}:{(100,1),(101,1),(149,1)}
       126:{2,3,4,5}:{(101,1),(114,1),(150,1),(151,1),(165,1)}
       127:{1,2,4,7}:{(102,1),(103,1),(113,1),(152,1),(153,1)}
       128:{2,3,5,7}:{(103,1),(105,1),(114,1),(153,1),(154,1),(155,1)}
       129:{3,4,7}:{(104,1),(115,1),(155,1)}
       130:{1,2,4,5,7}:{(104,1),(105,1),(106,1),(109,1),(116,1),(153,1),(155,1),(156,1),(159,1),(189,1)}
       131:{2,4,6}:{(105,1),(107,1),(110,1),(154,1)}
       132:{1,4,6}:{(106,1),(107,1),(111,1)}
       133:{3,4,6,7}:{(107,1),(112,1),(119,1),(157,1),(158,1),(193,1)}
       134:{2,3,5,7}:{(108,1),(109,1),(120,1),(155,1),(159,1),(160,1),(208,1)}
       135:{1,2,5,6}:{(109,1),(110,1),(111,1),(156,1),(160,1),(206,1)}
       136:{2,5,6,7}:{(110,1),(112,1),(157,1)}
       137:{1,3,5,6,7}:{(111,1),(112,1),(122,1),(158,1),(161,1),(193,1)}
       138:{1,3,4,6}:{(113,1),(115,1),(149,1),(152,1),(162,1),(187,1),(190,1),(196,1)}
       139:{1,2,5}:{(113,1),(114,1),(162,1)}
       140:{2,3,5,6}:{(114,1),(117,1),(151,1),(154,1),(163,1),(164,1),(166,1)}
       141:{3,5}:{(115,1),(116,1)}
       142:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(121,1),(156,1),(163,1),(166,1),(167,1),(168,1),(194,1),(196,1),(206,1)}
       143:{2,4,5,7}:{(117,1),(119,1),(157,1),(164,1)}
       144:{1,4,5,7}:{(118,1),(119,1),(122,1),(158,1)}
       145:{2,4,5}:{(120,1),(165,1),(168,1)}
       146:{2,3,5,6}:{(120,1),(121,1),(123,1),(166,1),(168,1),(169,1)}
       147:{1,2,5,7}:{(121,1),(122,1),(124,1),(169,1)}
       148:{2,3,6,7}:{(123,1),(124,1),(169,1),(193,1)}
       149:{1,3,4}:{(125,1),(170,1)}
       150:{1,2,4,5}:{(125,1),(126,1),(139,1),(170,1),(171,1),(181,1)}
       151:{2,3,4,6}:{(126,1),(140,1),(171,1),(172,1),(184,1)}
       152:{1,3,4,7}:{(127,1),(129,1),(138,1),(173,1),(199,1),(205,1)}
       153:{1,2,5,7}:{(127,1),(128,1),(139,1),(173,1),(174,1)}
       154:{2,3,6}:{(128,1),(131,1),(174,1),(177,1)}
       155:{3,5,7}:{(129,1),(130,1),(141,1),(177,1)}
       156:{1,2,4,6}:{(130,1),(131,1),(132,1),(135,1),(174,1),(177,1),(179,1),(200,1)}
       157:{2,4,6,7}:{(131,1),(133,1),(136,1),(143,1),(175,1)}
       158:{1,4,6,7}:{(132,1),(133,1),(137,1),(144,1)}
       159:{2,4,5,7}:{(134,1),(145,1),(176,1),(179,1),(186,1)}
       160:{2,3,5,6}:{(134,1),(135,1),(177,1),(179,1),(202,1)}
       161:{1,2,5,6,7}:{(135,1),(136,1),(137,1),(147,1),(178,1),(180,1),(209,1)}
       162:{1,3,5}:{(138,1),(139,1),(141,1),(181,1)}
       163:{1,2,5,6}:{(139,1),(140,1),(171,1),(174,1),(182,1),(183,1)}
       164:{2,3,5,7}:{(140,1),(143,1),(172,1),(175,1),(183,1),(185,1)}
       165:{3,4,5}:{(141,1),(145,1),(181,1),(184,1)}
       166:{3,5,6}:{(141,1),(142,1),(177,1),(184,1),(185,1)}
       167:{1,2,4,5,7}:{(142,1),(143,1),(144,1),(147,1),(178,1),(183,1),(185,1),(186,1),(204,1),(205,1),(209,1)}
       168:{2,4,6}:{(145,1),(146,1),(184,1),(186,1)}
       169:{2,3,5,7}:{(146,1),(147,1),(148,1),(185,1),(186,1)}
       170:{1,3,5}:{(149,1),(150,1),(187,1)}
       171:{1,2,4,6}:{(150,1),(151,1),(163,1),(187,1),(188,1),(196,1)}
       172:{2,3,4,7}:{(151,1),(164,1),(188,1),(198,1)}
       173:{1,3,5,7}:{(152,1),(153,1),(155,1),(162,1),(189,1),(190,1)}
       174:{1,2,6}:{(153,1),(154,1),(190,1)}
       175:{2,3,6,7}:{(154,1),(157,1),(164,1),(191,1),(193,1)}
       176:{3,4,5,7}:{(155,1),(159,1),(165,1),(189,1),(192,1),(198,1),(208,1)}
       177:{3,6}:{(155,1),(156,1)}
       178:{1,2,4,6,7}:{(156,1),(157,1),(158,1),(161,1),(167,1),(191,1),(193,1),(195,1),(207,1)}
       179:{2,4,6}:{(159,1),(160,1),(192,1)}
       180:{2,3,5,6,7}:{(160,1),(161,1),(169,1),(193,1),(195,1),(208,1)}
       181:{1,4,5}:{(162,1),(165,1),(196,1)}
       182:{1,3,5,6}:{(162,1),(163,1),(166,1),(187,1),(190,1),(196,1),(197,1),(206,1)}
       183:{1,2,5,7}:{(163,1),(164,1),(188,1),(191,1),(197,1)}
       184:{3,4,6}:{(165,1),(166,1),(168,1),(196,1),(198,1)}
       185:{3,5,7}:{(166,1),(167,1),(193,1),(198,1)}
       186:{2,4,7}:{(168,1),(169,1),(198,1)}
       187:{1,3,6}:{(170,1),(171,1),(199,1)}
       188:{1,2,4,7}:{(171,1),(172,1),(183,1),(199,1),(205,1)}
       189:{1,4,5,7}:{(173,1),(176,1),(181,1),(200,1),(205,1),(209,1)}
       190:{1,3,6}:{(173,1),(174,1),(177,1),(200,1)}
       191:{1,2,6,7}:{(174,1),(175,1),(183,1),(201,1)}
       192:{3,4,6}:{(176,1),(177,1),(179,1),(200,1),(202,1)}
       193:{3,6,7}:{(177,1),(178,1),(185,1)}
       194:{2,4,5,6}:{(179,1),(202,1),(204,1)}
       195:{2,4,6,7}:{(179,1),(180,1),(186,1),(203,1),(204,1)}
       196:{1,4,6}:{(181,1),(182,1),(184,1),(205,1)}
       197:{1,3,5,7}:{(182,1),(183,1),(185,1),(199,1),(201,1),(205,1),(209,1)}
       198:{3,4,7}:{(184,1),(185,1),(186,1),(205,1)}
       199:{1,3,7}:{(187,1),(188,1)}
       200:{1,4,6}:{(189,1),(190,1),(192,1),(206,1)}
       201:{1,3,6,7}:{(190,1),(191,1),(193,1),(197,1),(207,1)}
       202:{3,5,6}:{(192,1),(194,1),(206,1),(208,1)}
       203:{3,4,6,7}:{(192,1),(193,1),(195,1),(198,1),(207,1),(208,1)}
       204:{2,4,5,7}:{(194,1),(195,1),(208,1)}
       205:{1,4,7}:{(196,1),(197,1),(198,1)}
       206:{1,5,6}:{(200,1),(202,1),(209,1)}
       207:{1,4,6,7}:{(200,1),(201,1),(203,1),(205,1),(209,1)}
       208:{3,5,7}:{(202,1),(203,1),(204,1),(209,1)}
       209:{1,5,7}:{(206,1),(207,1),(208,1)}

 997 :   0:{2,3,4,5,7}:{(1,1),(2,1),(8,1),(34,1),(72,1),(76,1),(83,1),(119,1),(122,1),(127,1)}
         1:{1,2,4,5,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(50,1),(56,1),(60,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(61,1),(145,1),(148,1),(153,1)}
         3:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(27,1),(65,1),(72,1),(116,1)}
         4:{1,3,5,7}:{(1,1),(10,1),(11,1),(39,1),(122,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(40,1)}
         6:{2,3,5,6}:{(2,1),(8,1),(12,1),(13,1),(41,1),(76,1),(167,1)}
         7:{1,2,4,6,7}:{(3,1),(5,1),(16,1),(17,1),(50,1)}
         8:{2,3,5,7}:{(3,1),(6,1),(17,1),(18,1),(51,1),(143,1)}
         9:{1,2,3,5,7}:{(4,1),(19,1),(20,1),(53,1),(56,1)}
        10:{1,3,4,7}:{(4,1),(19,1),(22,1),(50,1),(94,1)}
        11:{1,3,6}:{(4,1),(5,1),(148,1)}
        12:{1,2,5,6}:{(5,1),(6,1),(17,1),(23,1),(56,1)}
        13:{2,4,5,6}:{(6,1),(18,1),(25,1),(103,1),(145,1)}
        14:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(28,1),(65,1),(118,1)}
        15:{2,4,5,6,7}:{(27,1),(28,1),(168,1)}
        16:{1,3,6,7}:{(7,1),(11,1),(31,1),(65,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(12,1),(31,1)}
        18:{2,4,5,7}:{(8,1),(13,1),(27,1),(33,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(34,1),(36,1)}
        20:{1,2,3,6}:{(9,1),(11,1),(36,1),(75,1)}
        21:{1,3,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(71,1),(81,1),(122,1),(131,1),(171,1),(178,1)}
        22:{1,3,4,6}:{(10,1),(11,1),(36,1),(39,1),(40,1),(80,1)}
        23:{1,3,5,6}:{(11,1),(12,1),(31,1),(39,1),(40,1),(41,1)}
        24:{1,2,4,5,6}:{(12,1),(13,1),(32,1),(40,1),(41,1),(42,1),(79,1),(85,1),(86,1),(114,1),(121,1),(167,1)}
        25:{3,4,5,6}:{(13,1),(33,1),(41,1),(42,1),(131,1),(170,1)}
        26:{1,2,5,6,7}:{(14,1),(17,1),(43,1),(44,1),(46,1),(92,1),(143,1)}
        27:{2,4,6,7}:{(14,1),(18,1),(45,1),(145,1)}
        28:{3,5,6,7}:{(15,1),(45,1),(46,1),(189,1)}
        29:{1,2,3,6,7}:{(16,1),(20,1),(47,1),(48,1),(90,1),(101,1),(148,1),(192,1),(194,1)}
        30:{1,3,4,6,7}:{(16,1),(22,1),(47,1),(49,1),(50,1),(88,1),(94,1),(96,1),(148,1)}
        31:{1,3,5,7}:{(16,1),(17,1),(23,1),(50,1),(51,1)}
        32:{1,2,4,5,7}:{(17,1),(18,1),(24,1),(44,1),(50,1),(51,1),(52,1),(87,1),(99,1),(100,1),(143,1)}
        33:{3,4,5,7}:{(18,1),(25,1),(45,1),(51,1),(52,1)}
        34:{2,3,4,7}:{(19,1),(53,1),(54,1),(94,1),(155,1)}
        35:{1,2,4,5,7}:{(19,1),(21,1),(53,1),(55,1),(56,1),(103,1),(104,1),(155,1)}
        36:{1,2,4,6}:{(19,1),(20,1),(22,1),(54,1),(56,1)}
        37:{1,2,3,5,6}:{(20,1),(23,1),(48,1),(56,1),(57,1),(63,1),(92,1),(102,1),(106,1),(148,1),(160,1),(162,1),(163,1),(194,1)}
        38:{1,3,4,6}:{(21,1),(55,1),(59,1),(96,1),(148,1),(156,1),(191,1)}
        39:{1,3,5}:{(22,1),(56,1),(60,1),(106,1)}
        40:{1,4,6}:{(23,1),(50,1),(60,1),(61,1)}
        41:{3,5,6}:{(24,1),(51,1),(61,1),(106,1),(148,1)}
        42:{1,4,5,6}:{(25,1),(52,1),(62,1),(157,1),(191,1)}
        43:{1,3,5,6,7}:{(26,1),(31,1),(64,1),(65,1),(70,1),(115,1)}
        44:{1,2,4,6,7}:{(26,1),(27,1),(32,1),(64,1),(65,1),(66,1),(116,1),(117,1),(121,1)}
        45:{3,4,6,7}:{(27,1),(28,1),(33,1),(65,1),(66,1),(170,1)}
        46:{1,5,6,7}:{(28,1),(66,1),(202,1)}
        47:{1,2,4,6,7}:{(29,1),(30,1),(36,1),(67,1),(68,1),(69,1),(116,1),(121,1),(203,1)}
        48:{1,2,3,5,7}:{(29,1),(31,1),(37,1),(68,1),(69,1),(74,1),(122,1),(129,1),(175,1),(176,1),(182,1)}
        49:{1,3,5,7}:{(30,1),(39,1),(68,1),(70,1),(71,1),(115,1),(122,1)}
        50:{1,4,7}:{(31,1),(40,1),(72,1)}
        51:{3,5,7}:{(32,1),(41,1),(65,1),(72,1)}
        52:{1,4,5,7}:{(33,1),(42,1),(66,1),(73,1)}
        53:{2,3,5,7}:{(34,1),(35,1),(75,1),(76,1),(122,1)}
        54:{2,3,4,6}:{(34,1),(36,1),(75,1),(76,1),(80,1),(130,1)}
        55:{1,2,4,6}:{(35,1),(38,1),(75,1),(78,1),(130,1)}
        56:{1,2,5}:{(36,1),(39,1),(76,1)}
        57:{1,2,4,6}:{(37,1),(40,1),(69,1),(79,1),(80,1),(85,1),(130,1),(179,1)}
        58:{1,3,4,6,7}:{(38,1),(77,1),(81,1),(125,1),(172,1),(178,1),(203,1)}
        59:{1,3,5,6}:{(38,1),(39,1),(78,1),(81,1),(82,1),(133,1),(202,1)}
        60:{1,4,5}:{(39,1),(40,1),(83,1)}
        61:{3,4,6}:{(40,1),(41,1),(72,1),(83,1),(85,1)}
        62:{1,3,5,6}:{(41,1),(42,1),(73,1),(84,1),(86,1),(134,1),(173,1)}
        63:{2,3,5,6}:{(41,1),(74,1),(85,1),(86,1),(135,1),(140,1),(167,1),(174,1)}
        64:{1,4,6,7}:{(43,1),(50,1),(87,1),(88,1),(96,1)}
        65:{3,6,7}:{(44,1),(51,1),(148,1)}
        66:{1,4,6,7}:{(45,1),(46,1),(52,1),(89,1),(191,1)}
        67:{2,3,4,6,7}:{(47,1),(54,1),(91,1),(94,1),(101,1),(145,1),(148,1),(155,1),(190,1)}
        68:{1,2,5,7}:{(47,1),(49,1),(56,1),(91,1),(92,1),(143,1),(208,1)}
        69:{1,2,4,7}:{(48,1),(50,1),(57,1),(94,1),(99,1),(155,1),(195,1)}
        70:{1,3,5,6}:{(49,1),(92,1),(96,1),(142,1),(148,1)}
        71:{1,4,5,7}:{(49,1),(50,1),(60,1),(96,1),(97,1)}
        72:{3,4,7}:{(50,1),(51,1),(61,1),(99,1)}
        73:{1,3,5,7}:{(51,1),(52,1),(62,1),(89,1),(98,1),(100,1)}
        74:{2,3,5,7}:{(51,1),(63,1),(90,1),(99,1),(100,1),(143,1),(154,1)}
        75:{2,3,6}:{(53,1),(55,1),(148,1)}
        76:{2,3,5}:{(54,1),(56,1),(103,1),(106,1)}
        77:{1,2,4,6,7}:{(55,1),(58,1),(101,1),(104,1),(155,1)}
        78:{1,2,5,6}:{(55,1),(56,1),(59,1),(102,1),(104,1)}
        79:{1,2,4,5}:{(56,1),(57,1),(60,1),(103,1),(106,1),(112,1),(157,1),(162,1)}
        80:{3,4,6}:{(57,1),(94,1),(106,1),(148,1)}
        81:{1,3,5,7}:{(58,1),(59,1),(104,1),(109,1),(159,1),(208,1)}
        82:{1,4,5,6}:{(59,1),(60,1),(96,1),(109,1),(110,1)}
        83:{3,4,5}:{(60,1),(61,1),(106,1),(112,1)}
        84:{1,3,4,6}:{(61,1),(62,1),(98,1),(111,1),(113,1)}
        85:{2,4,6}:{(61,1),(63,1),(99,1),(112,1)}
        86:{1,2,5,6}:{(62,1),(63,1),(100,1),(113,1),(162,1),(194,1)}
        87:{1,4,5,7}:{(64,1),(114,1),(115,1)}
        88:{3,4,6,7}:{(64,1),(65,1),(72,1),(115,1),(116,1),(126,1)}
        89:{1,3,6,7}:{(65,1),(66,1),(73,1),(117,1),(173,1)}
        90:{2,3,6,7}:{(65,1),(74,1),(116,1),(117,1),(174,1)}
        91:{2,3,5,7}:{(67,1),(68,1),(76,1),(118,1),(119,1),(122,1),(201,1)}
        92:{1,2,5,6}:{(68,1),(70,1),(118,1),(121,1),(167,1),(202,1)}
        93:{1,2,4,5,7}:{(68,1),(69,1),(71,1),(79,1),(119,1),(121,1),(122,1),(127,1),(171,1),(175,1)}
        94:{3,4,7}:{(69,1),(80,1),(122,1)}
        95:{1,3,5,6,7}:{(70,1),(81,1),(120,1),(125,1),(166,1),(172,1)}
        96:{1,4,6}:{(70,1),(71,1),(126,1)}
        97:{3,4,5,7}:{(71,1),(72,1),(83,1),(115,1),(122,1),(126,1),(127,1)}
        98:{1,3,4,7}:{(72,1),(73,1),(84,1),(128,1)}
        99:{2,4,7}:{(72,1),(74,1),(85,1)}
       100:{1,2,5,7}:{(73,1),(74,1),(86,1),(117,1),(128,1)}
       101:{2,3,6,7}:{(75,1),(77,1),(129,1),(172,1)}
       102:{2,3,5,6}:{(75,1),(76,1),(78,1),(129,1),(130,1),(133,1)}
       103:{2,4,5}:{(76,1),(130,1),(131,1)}
       104:{1,2,5,7}:{(77,1),(78,1),(81,1),(129,1)}
       105:{1,2,4,5,6}:{(78,1),(79,1),(82,1),(121,1),(130,1),(132,1),(133,1),(138,1),(168,1),(179,1),(184,1),(202,1)}
       106:{3,5}:{(79,1),(80,1)}
       107:{1,3,4,6}:{(80,1),(123,1),(134,1),(136,1),(173,1),(179,1),(206,1),(207,1)}
       108:{2,3,4,6}:{(80,1),(85,1),(124,1),(135,1),(136,1),(140,1),(174,1),(186,1)}
       109:{1,4,5,7}:{(81,1),(82,1),(125,1),(137,1)}
       110:{3,4,5,6}:{(82,1),(83,1),(126,1),(133,1),(137,1),(138,1)}
       111:{1,3,4,5}:{(83,1),(84,1),(134,1),(139,1),(207,1)}
       112:{2,4,5}:{(83,1),(85,1),(135,1)}
       113:{1,2,4,6}:{(84,1),(85,1),(86,1),(128,1),(139,1),(140,1)}
       114:{1,4,5,6}:{(87,1),(96,1),(142,1)}
       115:{3,5,7}:{(87,1),(88,1),(142,1),(143,1)}
       116:{2,4,6,7}:{(88,1),(90,1),(99,1),(143,1),(153,1)}
       117:{1,2,6,7}:{(89,1),(90,1),(100,1),(194,1)}
       118:{2,3,5,6}:{(91,1),(92,1),(145,1),(148,1),(189,1)}
       119:{2,4,5,7}:{(91,1),(103,1),(145,1),(146,1),(155,1)}
       120:{1,2,5,6,7}:{(92,1),(95,1),(104,1),(144,1),(147,1),(187,1),(208,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(96,1),(145,1),(148,1),(153,1),(191,1),(194,1)}
       122:{3,5,7}:{(93,1),(94,1),(106,1),(148,1)}
       123:{1,3,4,7}:{(94,1),(107,1),(149,1),(151,1),(195,1),(209,1)}
       124:{2,3,4,7}:{(94,1),(99,1),(108,1),(150,1),(151,1),(154,1)}
       125:{1,4,6,7}:{(95,1),(96,1),(109,1),(152,1)}
       126:{3,4,6}:{(96,1),(97,1),(142,1),(148,1),(153,1)}
       127:{2,4,5,7}:{(97,1),(99,1),(112,1),(143,1),(150,1),(153,1)}
       128:{1,2,4,7}:{(98,1),(99,1),(100,1),(113,1),(154,1)}
       129:{2,3,5,7}:{(101,1),(102,1),(104,1),(155,1),(159,1)}
       130:{2,4,6}:{(102,1),(103,1),(155,1),(156,1)}
       131:{3,4,5}:{(103,1),(106,1),(156,1),(157,1)}
       132:{1,2,4,5,7}:{(104,1),(105,1),(109,1),(147,1),(155,1),(159,1),(164,1),(188,1),(195,1),(199,1),(208,1)}
       133:{3,5,6}:{(105,1),(106,1),(148,1),(156,1),(159,1)}
       134:{1,3,5}:{(106,1),(107,1),(157,1),(162,1)}
       135:{2,3,5}:{(106,1),(108,1),(112,1),(162,1)}
       136:{1,2,4,6}:{(107,1),(108,1),(151,1),(162,1),(163,1),(194,1),(200,1)}
       137:{3,4,5,7}:{(109,1),(110,1),(152,1),(159,1),(164,1)}
       138:{2,4,5,6}:{(110,1),(112,1),(153,1),(161,1),(164,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(113,1),(162,1),(165,1),(200,1)}
       140:{2,3,6}:{(113,1),(154,1),(165,1)}
       141:{1,4,5,6,7}:{(114,1),(125,1),(166,1)}
       142:{3,5,6}:{(114,1),(115,1),(126,1),(167,1)}
       143:{2,5,7}:{(115,1),(116,1),(167,1)}
       144:{2,3,5,6,7}:{(118,1),(120,1),(129,1),(169,1),(172,1),(201,1)}
       145:{2,4,6}:{(118,1),(119,1),(170,1)}
       146:{3,4,5,7}:{(119,1),(122,1),(131,1),(170,1),(171,1),(178,1),(201,1)}
       147:{1,2,4,6,7}:{(120,1),(121,1),(125,1),(132,1),(169,1),(172,1),(177,1),(203,1),(204,1)}
       148:{3,6}:{(121,1),(122,1)}
       149:{1,3,5,7}:{(122,1),(123,1),(134,1),(171,1),(173,1),(175,1)}
       150:{2,3,5,7}:{(122,1),(124,1),(127,1),(135,1),(174,1),(175,1)}
       151:{1,2,4,7}:{(123,1),(124,1),(136,1),(175,1),(176,1)}
       152:{3,4,6,7}:{(125,1),(126,1),(137,1),(166,1),(172,1),(177,1)}
       153:{2,4,6}:{(126,1),(127,1),(167,1),(174,1)}
       154:{2,3,7}:{(128,1),(140,1)}
       155:{2,4,7}:{(129,1),(130,1),(178,1)}
       156:{3,4,6}:{(130,1),(131,1),(133,1),(178,1),(179,1)}
       157:{1,4,5}:{(131,1),(134,1),(179,1)}
       158:{2,3,4,5}:{(131,1),(135,1),(180,1),(181,1),(186,1)}
       159:{3,5,7}:{(132,1),(133,1),(172,1),(178,1)}
       160:{1,3,5,6}:{(133,1),(134,1),(173,1),(179,1),(182,1),(184,1),(202,1),(206,1)}
       161:{2,3,5,6}:{(133,1),(135,1),(138,1),(174,1),(180,1),(183,1),(184,1)}
       162:{1,2,5}:{(134,1),(135,1),(136,1)}
       163:{1,2,3,6}:{(136,1),(140,1),(176,1),(185,1),(206,1)}
       164:{2,4,5,7}:{(137,1),(138,1),(177,1),(183,1)}
       165:{2,3,5}:{(139,1),(140,1),(186,1)}
       166:{3,5,6,7}:{(141,1),(142,1),(152,1),(187,1)}
       167:{2,5,6}:{(142,1),(143,1),(153,1)}
       168:{2,4,5,6}:{(145,1),(188,1),(189,1)}
       169:{2,4,6,7}:{(144,1),(145,1),(155,1),(188,1),(190,1)}
       170:{3,4,6}:{(145,1),(146,1),(148,1),(189,1),(191,1)}
       171:{1,4,5,7}:{(146,1),(149,1),(157,1),(191,1),(195,1),(208,1)}
       172:{3,6,7}:{(147,1),(148,1),(159,1)}
       173:{1,3,6}:{(148,1),(149,1),(191,1),(194,1)}
       174:{2,3,6}:{(148,1),(150,1),(153,1),(194,1)}
       175:{1,2,5,7}:{(149,1),(150,1),(151,1),(162,1),(194,1)}
       176:{1,2,3,7}:{(151,1),(154,1),(163,1),(209,1)}
       177:{2,4,6,7}:{(152,1),(153,1),(164,1),(187,1),(193,1)}
       178:{3,4,7}:{(155,1),(156,1),(159,1),(195,1)}
       179:{1,4,6}:{(156,1),(157,1),(160,1),(195,1)}
       180:{2,3,4,6}:{(156,1),(158,1),(161,1),(196,1),(197,1)}
       181:{1,2,4,5}:{(157,1),(158,1),(162,1),(197,1),(198,1),(200,1)}
       182:{1,3,5,7}:{(159,1),(160,1),(192,1),(195,1),(199,1),(208,1),(209,1)}
       183:{2,3,5,7}:{(159,1),(161,1),(164,1),(193,1),(196,1),(199,1)}
       184:{1,2,5,6}:{(160,1),(161,1),(162,1),(194,1),(197,1),(199,1)}
       185:{1,2,3,5}:{(162,1),(163,1),(165,1),(198,1),(200,1)}
       186:{2,3,4}:{(165,1),(200,1)}
       187:{2,5,6,7}:{(166,1),(167,1),(177,1)}
       188:{2,4,5,7}:{(168,1),(169,1),(201,1)}
       189:{3,5,6}:{(168,1),(170,1),(201,1),(202,1)}
       190:{3,4,6,7}:{(169,1),(170,1),(172,1),(178,1),(201,1),(203,1)}
       191:{1,4,6}:{(170,1),(171,1),(173,1),(202,1)}
       192:{1,3,6,7}:{(172,1),(173,1),(182,1),(203,1),(204,1)}
       193:{2,3,6,7}:{(172,1),(174,1),(177,1),(183,1),(204,1)}
       194:{1,2,6}:{(173,1),(174,1),(175,1)}
       195:{1,4,7}:{(178,1),(179,1),(182,1)}
       196:{2,3,4,7}:{(178,1),(180,1),(183,1),(205,1)}
       197:{1,2,4,6}:{(179,1),(180,1),(181,1),(184,1),(205,1),(206,1)}
       198:{1,3,5}:{(181,1),(206,1),(207,1)}
       199:{1,2,5,7}:{(182,1),(183,1),(184,1),(204,1),(205,1)}
       200:{1,2,4}:{(185,1),(186,1),(207,1)}
       201:{3,5,7}:{(188,1),(189,1),(190,1),(208,1)}
       202:{1,5,6}:{(189,1),(191,1),(208,1)}
       203:{1,4,6,7}:{(190,1),(191,1),(192,1),(195,1),(208,1)}
       204:{1,2,6,7}:{(192,1),(193,1),(194,1),(199,1)}
       205:{1,2,4,7}:{(195,1),(196,1),(197,1),(199,1),(209,1)}
       206:{1,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,3,4}:{(198,1),(200,1)}
       208:{1,5,7}:{(201,1),(202,1),(203,1)}
       209:{1,3,7}:{(205,1),(206,1)}

 998 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(14,1),(18,1),(38,1),(42,1),(74,1),(75,1),(76,1),(102,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(62,1),(63,1),(87,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(27,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(61,1),(88,1),(101,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(15,1),(43,1),(95,1)}
         5:{3,4,6}:{(3,1),(10,1),(12,1),(13,1),(14,1),(47,1),(78,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(44,1),(45,1),(48,1),(76,1)}
         7:{3,5,7}:{(2,1),(3,1),(12,1),(15,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(16,1),(18,1),(35,1),(47,1),(68,1),(70,1),(74,1),(91,1),(95,1),(102,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(32,1),(47,1),(66,1),(72,1),(75,1),(93,1),(95,1),(103,1)}
        10:{3,4,5}:{(5,1),(22,1),(23,1),(61,1),(101,1)}
        11:{4,6,7}:{(4,1),(24,1),(100,1)}
        12:{3,4,7}:{(5,1),(7,1),(26,1),(27,1),(65,1)}
        13:{1,4,6}:{(5,1),(8,1),(22,1),(26,1),(83,1),(100,1)}
        14:{2,4,6}:{(5,1),(9,1),(23,1),(27,1),(86,1),(100,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(26,1),(29,1),(31,1),(62,1),(65,1),(90,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(27,1),(30,1),(31,1),(63,1),(65,1),(90,1)}
        18:{1,2,5,6}:{(8,1),(9,1),(28,1),(31,1),(50,1),(54,1),(81,1),(84,1)}
        19:{2,3,4,6}:{(14,1),(32,1),(33,1),(34,1),(47,1),(66,1),(78,1),(96,1)}
        20:{1,3,4,6}:{(13,1),(35,1),(36,1),(37,1),(47,1),(70,1),(78,1),(96,1)}
        21:{3,4,5,7}:{(10,1),(12,1),(39,1),(40,1),(41,1),(43,1),(77,1),(97,1),(104,1)}
        22:{1,4,5}:{(10,1),(13,1),(35,1),(102,1),(104,1)}
        23:{2,4,5}:{(10,1),(14,1),(32,1),(103,1),(104,1)}
        24:{4,5,7}:{(11,1),(38,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(15,1),(39,1),(43,1),(44,1),(45,1),(80,1),(96,1),(97,1)}
        26:{1,4,7}:{(12,1),(13,1),(16,1),(97,1)}
        27:{2,4,7}:{(12,1),(14,1),(17,1),(97,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(18,1),(42,1),(46,1),(47,1)}
        29:{1,3,6,7}:{(15,1),(16,1),(44,1),(48,1),(70,1),(80,1),(91,1)}
        30:{2,3,6,7}:{(15,1),(17,1),(45,1),(48,1),(66,1),(80,1),(93,1)}
        31:{1,2,5,7}:{(16,1),(17,1),(18,1),(46,1),(48,1)}
        32:{2,3,5}:{(19,1),(23,1),(50,1),(61,1),(101,1)}
        33:{2,3,4,7}:{(19,1),(27,1),(49,1),(51,1),(65,1),(89,1)}
        34:{1,2,4,6}:{(19,1),(50,1),(51,1),(52,1),(81,1),(83,1),(98,1)}
        35:{1,3,5}:{(20,1),(22,1),(54,1),(61,1),(101,1)}
        36:{1,3,4,7}:{(20,1),(26,1),(53,1),(55,1),(65,1),(89,1)}
        37:{1,2,4,6}:{(20,1),(54,1),(55,1),(56,1),(84,1),(86,1),(99,1)}
        38:{4,5,6}:{(24,1),(57,1),(100,1)}
        39:{3,4,6}:{(21,1),(57,1),(58,1),(59,1),(88,1),(100,1)}
        40:{1,4,5,7}:{(21,1),(22,1),(26,1),(53,1),(58,1),(62,1)}
        41:{2,4,5,7}:{(21,1),(23,1),(27,1),(49,1),(59,1),(63,1)}
        42:{1,2,4,5}:{(22,1),(23,1),(28,1),(50,1),(54,1),(61,1),(83,1),(86,1)}
        43:{3,5,7}:{(24,1),(25,1),(57,1),(62,1),(63,1),(101,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(58,1),(62,1),(98,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(59,1),(63,1),(99,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(28,1),(31,1),(65,1)}
        47:{3,6}:{(28,1),(61,1),(65,1)}
        48:{1,2,6,7}:{(29,1),(30,1),(31,1),(81,1),(84,1)}
        49:{2,3,5,7}:{(32,1),(33,1),(41,1),(66,1),(67,1),(77,1)}
        50:{1,2,5}:{(32,1),(34,1),(68,1),(102,1)}
        51:{1,2,4,7}:{(33,1),(34,1),(67,1),(69,1),(92,1)}
        52:{1,3,6}:{(34,1),(47,1),(68,1),(69,1)}
        53:{1,3,5,7}:{(35,1),(36,1),(40,1),(70,1),(71,1),(77,1)}
        54:{1,2,5}:{(35,1),(37,1),(72,1),(103,1)}
        55:{1,2,4,7}:{(36,1),(37,1),(71,1),(73,1),(94,1)}
        56:{2,3,6}:{(37,1),(47,1),(72,1),(73,1)}
        57:{3,5,6}:{(38,1),(39,1),(43,1),(74,1),(75,1)}
        58:{1,4,6}:{(39,1),(40,1),(70,1),(74,1)}
        59:{2,4,6}:{(39,1),(41,1),(66,1),(75,1)}
        60:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(46,1),(67,1),(71,1),(76,1),(77,1),(79,1),(92,1),(94,1),(97,1),(102,1),(103,1),(104,1)}
        61:{3,5}:{(42,1),(47,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(74,1),(102,1)}
        63:{2,5,7}:{(43,1),(45,1),(75,1),(103,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(48,1),(76,1),(79,1),(80,1),(97,1)}
        65:{3,7}:{(46,1),(47,1)}
        66:{2,3,6}:{(49,1),(59,1),(81,1),(88,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(51,1),(81,1),(82,1)}
        68:{1,3,5}:{(50,1),(52,1),(61,1),(83,1)}
        69:{1,3,7}:{(51,1),(52,1),(65,1)}
        70:{1,3,6}:{(53,1),(58,1),(84,1),(88,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(55,1),(84,1),(85,1)}
        72:{2,3,5}:{(54,1),(56,1),(61,1),(86,1)}
        73:{2,3,7}:{(55,1),(56,1),(65,1)}
        74:{1,5,6}:{(57,1),(58,1),(62,1)}
        75:{2,5,6}:{(57,1),(59,1),(63,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(81,1),(84,1),(87,1),(88,1),(98,1),(99,1),(100,1)}
        77:{3,5,7}:{(60,1),(61,1),(65,1),(88,1),(89,1),(101,1)}
        78:{3,4}:{(61,1),(83,1),(86,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(87,1),(90,1)}
        80:{3,6,7}:{(64,1),(65,1),(88,1),(90,1)}
        81:{1,2,6}:{(66,1),(67,1),(91,1)}
        82:{1,3,5,7}:{(67,1),(68,1),(69,1),(77,1),(91,1),(92,1),(102,1)}
        83:{1,4}:{(68,1),(78,1)}
        84:{1,2,6}:{(70,1),(71,1),(93,1)}
        85:{2,3,5,7}:{(71,1),(72,1),(73,1),(77,1),(93,1),(94,1),(103,1)}
        86:{2,4}:{(72,1),(78,1)}
        87:{1,2,5,6}:{(74,1),(75,1),(76,1),(79,1),(95,1),(102,1),(103,1)}
        88:{3,6}:{(76,1),(77,1)}
        89:{3,4,7}:{(77,1),(78,1),(92,1),(94,1),(96,1),(97,1)}
        90:{3,5,7}:{(79,1),(80,1),(95,1),(97,1)}
        91:{1,3,6}:{(81,1),(82,1),(88,1),(98,1)}
        92:{1,4,7}:{(82,1),(83,1),(89,1),(98,1)}
        93:{2,3,6}:{(84,1),(85,1),(88,1),(99,1)}
        94:{2,4,7}:{(85,1),(86,1),(89,1),(99,1)}
        95:{3,5,6}:{(87,1),(88,1),(90,1),(100,1),(101,1)}
        96:{3,4,6}:{(88,1),(89,1),(98,1),(99,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(100,1)}
        98:{1,4,6}:{(91,1),(92,1),(96,1),(102,1)}
        99:{2,4,6}:{(93,1),(94,1),(96,1),(103,1)}
       100:{4,6}:{(95,1),(97,1),(104,1)}
       101:{3,5}:{(96,1),(102,1),(103,1),(104,1)}
       102:{1,5}:{(98,1),(101,1)}
       103:{2,5}:{(99,1),(101,1)}
       104:{4,5}:{(100,1),(101,1)}

 999 :   0:{4,5,6,7}:{(2,1),(51,1),(225,1)}
         1:{3,4,5,6}:{(3,1),(4,1),(5,1),(25,1),(96,1),(162,1),(207,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(7,1),(8,1),(219,1)}
         3:{3,4,5,7}:{(1,1),(6,1),(9,1),(10,1),(38,1),(71,1)}
         4:{1,4,5,6}:{(1,1),(9,1),(11,1),(173,1),(211,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(12,1),(179,1),(214,1)}
         6:{3,4,6,7}:{(2,1),(3,1),(17,1),(18,1),(50,1),(51,1),(207,1)}
         7:{1,5,6,7}:{(2,1),(17,1),(221,1)}
         8:{2,5,6,7}:{(2,1),(18,1),(223,1)}
         9:{1,4,5,7}:{(3,1),(4,1),(17,1),(20,1)}
        10:{2,4,5,7}:{(3,1),(5,1),(18,1),(21,1)}
        11:{1,3,5,6}:{(4,1),(15,1),(20,1),(23,1),(25,1),(144,1),(195,1)}
        12:{2,3,5,6}:{(5,1),(16,1),(21,1),(24,1),(25,1),(150,1),(200,1)}
        13:{1,2,4,5,6}:{(4,1),(5,1),(22,1),(23,1),(24,1),(25,1),(56,1),(57,1),(96,1),(102,1),(155,1),(156,1),(159,1)}
        14:{2,3,4,5}:{(16,1),(26,1),(58,1),(106,1),(150,1)}
        15:{1,3,4,6}:{(11,1),(27,1),(28,1),(29,1),(41,1)}
        16:{2,3,4,6}:{(12,1),(14,1),(30,1),(31,1),(41,1)}
        17:{1,4,6,7}:{(6,1),(7,1),(9,1),(32,1),(211,1)}
        18:{2,4,6,7}:{(6,1),(8,1),(10,1),(33,1),(214,1)}
        19:{1,2,5,6,7}:{(7,1),(8,1),(34,1),(35,1),(122,1),(123,1),(183,1)}
        20:{1,3,5,7}:{(9,1),(11,1),(28,1),(32,1),(36,1),(38,1)}
        21:{2,3,5,7}:{(10,1),(12,1),(30,1),(33,1),(37,1),(38,1)}
        22:{1,2,4,5,7}:{(9,1),(10,1),(13,1),(34,1),(36,1),(37,1),(38,1),(71,1),(73,1),(74,1),(122,1),(123,1)}
        23:{1,2,5,6}:{(11,1),(29,1),(36,1),(39,1),(114,1),(171,1)}
        24:{1,2,5,6}:{(12,1),(31,1),(37,1),(40,1),(119,1),(177,1)}
        25:{3,5,6}:{(13,1),(38,1),(41,1),(131,1),(187,1)}
        26:{1,2,4,5}:{(14,1),(31,1),(42,1),(78,1),(80,1),(119,1)}
        27:{1,3,4,5}:{(15,1),(43,1),(58,1),(138,1),(144,1)}
        28:{1,3,4,7}:{(15,1),(20,1),(44,1),(54,1)}
        29:{1,2,4,6}:{(15,1),(23,1),(43,1),(44,1),(45,1),(56,1)}
        30:{2,3,4,7}:{(16,1),(21,1),(46,1),(54,1)}
        31:{1,2,4,6}:{(16,1),(24,1),(26,1),(46,1),(47,1),(57,1)}
        32:{1,3,6,7}:{(17,1),(20,1),(48,1),(50,1),(195,1)}
        33:{2,3,6,7}:{(18,1),(21,1),(49,1),(50,1),(200,1)}
        34:{1,2,4,6,7}:{(17,1),(18,1),(19,1),(22,1),(48,1),(49,1),(50,1),(51,1),(93,1),(94,1),(159,1)}
        35:{3,5,6,7}:{(19,1),(50,1),(51,1),(95,1),(205,1)}
        36:{1,2,5,7}:{(20,1),(23,1),(44,1),(48,1),(52,1)}
        37:{1,2,5,7}:{(21,1),(24,1),(46,1),(49,1),(53,1)}
        38:{3,5,7}:{(22,1),(25,1),(50,1),(54,1)}
        39:{2,3,5,6}:{(23,1),(25,1),(45,1),(52,1),(56,1),(87,1),(143,1),(155,1)}
        40:{1,3,5,6}:{(24,1),(25,1),(47,1),(53,1),(57,1),(91,1),(149,1),(156,1)}
        41:{3,4,6}:{(25,1),(54,1),(56,1),(57,1),(58,1)}
        42:{1,3,5}:{(26,1),(47,1),(60,1)}
        43:{1,2,4,5}:{(27,1),(29,1),(61,1),(77,1),(109,1),(114,1)}
        44:{1,2,4,7}:{(28,1),(29,1),(36,1),(62,1),(73,1)}
        45:{2,3,6}:{(29,1),(61,1),(62,1)}
        46:{1,2,4,7}:{(30,1),(31,1),(37,1),(65,1),(74,1)}
        47:{1,3,6}:{(31,1),(42,1),(65,1)}
        48:{1,2,6,7}:{(32,1),(36,1),(68,1),(171,1)}
        49:{1,2,6,7}:{(33,1),(37,1),(69,1),(177,1)}
        50:{3,6,7}:{(34,1),(38,1),(187,1)}
        51:{4,6,7}:{(35,1),(71,1),(217,1)}
        52:{2,3,5,7}:{(36,1),(38,1),(39,1),(62,1),(68,1),(73,1),(122,1)}
        53:{1,3,5,7}:{(37,1),(38,1),(40,1),(65,1),(69,1),(74,1),(123,1)}
        54:{3,4,7}:{(38,1),(41,1),(73,1),(74,1)}
        55:{1,2,3,5,6}:{(39,1),(40,1),(63,1),(66,1),(72,1),(76,1),(114,1),(119,1),(131,1),(171,1),(174,1),(177,1),(180,1),(183,1),(187,1)}
        56:{2,4,6}:{(39,1),(41,1),(73,1),(77,1)}
        57:{1,4,6}:{(40,1),(41,1),(74,1),(78,1)}
        58:{3,4,5}:{(41,1),(77,1),(78,1),(131,1)}
        59:{1,2,3,5}:{(42,1),(66,1),(80,1),(119,1),(135,1)}
        60:{1,3,4}:{(42,1),(80,1)}
        61:{2,3,5}:{(43,1),(45,1),(83,1)}
        62:{2,3,7}:{(44,1),(45,1)}
        63:{1,2,3,6}:{(45,1),(82,1),(84,1),(86,1),(192,1)}
        64:{2,3,4,6}:{(45,1),(56,1),(83,1),(85,1),(86,1),(87,1),(101,1),(143,1)}
        65:{1,3,7}:{(46,1),(47,1)}
        66:{1,2,3,6}:{(47,1),(59,1),(88,1),(90,1),(165,1)}
        67:{1,3,4,6}:{(47,1),(57,1),(60,1),(89,1),(90,1),(91,1),(101,1),(149,1)}
        68:{2,3,6,7}:{(48,1),(50,1),(52,1),(93,1),(143,1)}
        69:{1,3,6,7}:{(49,1),(50,1),(53,1),(94,1),(149,1)}
        70:{3,4,6,7}:{(50,1),(51,1),(54,1),(93,1),(94,1),(95,1),(100,1)}
        71:{4,5,7}:{(51,1),(95,1),(96,1)}
        72:{1,2,3,5,7}:{(52,1),(53,1),(55,1),(84,1),(88,1),(92,1),(97,1),(142,1),(148,1),(154,1),(158,1),(198,1),(203,1)}
        73:{2,4,7}:{(52,1),(54,1),(56,1)}
        74:{1,4,7}:{(53,1),(54,1),(57,1)}
        75:{3,4,5,7}:{(54,1),(58,1),(95,1),(98,1),(99,1),(100,1),(158,1),(204,1)}
        76:{1,2,4,6}:{(55,1),(56,1),(57,1),(97,1),(101,1),(102,1),(197,1),(202,1)}
        77:{2,4,5}:{(56,1),(58,1),(87,1)}
        78:{1,4,5}:{(57,1),(58,1),(91,1)}
        79:{3,4,5,6}:{(58,1),(100,1),(103,1),(104,1),(105,1),(163,1),(225,1)}
        80:{1,2,4}:{(59,1),(60,1),(106,1)}
        81:{1,3,4,5}:{(60,1),(91,1),(107,1),(108,1),(162,1)}
        82:{1,2,3,5}:{(61,1),(63,1),(109,1),(114,1),(167,1)}
        83:{2,3,4}:{(61,1),(109,1)}
        84:{1,2,3,7}:{(62,1),(63,1),(111,1),(210,1)}
        85:{2,3,4,7}:{(62,1),(64,1),(73,1),(111,1),(112,1),(126,1)}
        86:{1,2,4,6}:{(63,1),(64,1),(109,1),(111,1),(113,1),(114,1),(171,1)}
        87:{2,3,5}:{(64,1),(77,1),(114,1),(131,1)}
        88:{1,2,3,7}:{(65,1),(66,1),(116,1),(191,1)}
        89:{1,3,4,7}:{(65,1),(67,1),(74,1),(116,1),(117,1),(126,1)}
        90:{1,2,4,6}:{(66,1),(67,1),(80,1),(116,1),(118,1),(119,1),(177,1)}
        91:{1,3,5}:{(67,1),(78,1),(119,1),(131,1)}
        92:{1,2,3,6,7}:{(68,1),(69,1),(72,1),(121,1),(171,1),(177,1),(187,1),(212,1),(215,1)}
        93:{2,4,6,7}:{(68,1),(70,1),(73,1),(122,1),(128,1)}
        94:{1,4,6,7}:{(69,1),(70,1),(74,1),(123,1),(129,1)}
        95:{3,5,7}:{(70,1),(71,1),(122,1),(123,1),(124,1)}
        96:{4,5,6}:{(71,1),(124,1),(217,1)}
        97:{1,2,4,7}:{(72,1),(73,1),(74,1),(76,1),(126,1),(213,1),(216,1)}
        98:{2,4,5,7}:{(73,1),(75,1),(77,1),(112,1),(122,1),(128,1)}
        99:{1,4,5,7}:{(74,1),(75,1),(78,1),(117,1),(123,1),(129,1)}
       100:{3,4,6}:{(75,1),(124,1),(128,1),(129,1),(187,1),(217,1)}
       101:{3,4,6}:{(76,1),(126,1),(131,1),(187,1)}
       102:{1,2,4,5}:{(76,1),(77,1),(78,1),(114,1),(119,1),(131,1),(173,1),(179,1)}
       103:{2,4,5,6}:{(77,1),(79,1),(115,1),(128,1),(133,1)}
       104:{1,4,5,6}:{(78,1),(79,1),(120,1),(129,1),(134,1)}
       105:{3,4,5,7}:{(79,1),(130,1),(133,1),(134,1),(190,1),(230,1)}
       106:{2,3,4}:{(80,1),(135,1)}
       107:{1,2,4,5}:{(80,1),(81,1),(119,1),(135,1),(136,1),(179,1)}
       108:{1,3,4,6}:{(81,1),(120,1),(136,1),(137,1),(189,1)}
       109:{1,2,4}:{(82,1),(83,1),(138,1)}
       110:{2,3,4,5}:{(83,1),(87,1),(139,1),(140,1),(162,1)}
       111:{1,2,4,7}:{(84,1),(85,1),(86,1),(141,1),(142,1)}
       112:{2,3,5,7}:{(85,1),(87,1),(98,1),(142,1),(143,1),(158,1)}
       113:{1,3,4,6}:{(86,1),(101,1),(138,1),(141,1),(144,1),(192,1),(195,1),(197,1)}
       114:{1,2,5}:{(86,1),(87,1),(144,1)}
       115:{2,3,5,6}:{(87,1),(103,1),(140,1),(143,1),(145,1),(146,1),(163,1)}
       116:{1,2,4,7}:{(88,1),(89,1),(90,1),(147,1),(148,1)}
       117:{1,3,5,7}:{(89,1),(91,1),(99,1),(148,1),(149,1),(158,1)}
       118:{2,3,4,6}:{(90,1),(101,1),(106,1),(147,1),(150,1),(165,1),(200,1),(202,1)}
       119:{1,2,5}:{(90,1),(91,1),(150,1)}
       120:{1,3,5,6}:{(91,1),(104,1),(108,1),(149,1),(151,1),(152,1),(163,1)}
       121:{1,2,4,6,7}:{(92,1),(93,1),(94,1),(97,1),(153,1),(154,1),(159,1),(222,1),(224,1)}
       122:{2,5,7}:{(93,1),(95,1),(155,1)}
       123:{1,5,7}:{(94,1),(95,1),(156,1)}
       124:{3,5,6}:{(95,1),(96,1),(100,1),(155,1),(156,1)}
       125:{4,5,6,7}:{(96,1),(157,1),(226,1)}
       126:{3,4,7}:{(97,1),(101,1),(158,1)}
       127:{1,2,4,5,7}:{(97,1),(98,1),(99,1),(102,1),(142,1),(148,1),(154,1),(158,1),(159,1),(194,1),(199,1),(204,1)}
       128:{2,4,6}:{(98,1),(100,1),(143,1),(155,1)}
       129:{1,4,6}:{(99,1),(100,1),(149,1),(156,1)}
       130:{3,4,6,7}:{(100,1),(105,1),(157,1),(160,1),(161,1),(208,1),(226,1)}
       131:{3,5}:{(101,1),(102,1)}
       132:{1,2,4,5,6}:{(102,1),(103,1),(104,1),(145,1),(151,1),(159,1),(163,1),(164,1),(197,1),(202,1),(221,1),(223,1),(225,1)}
       133:{2,4,5,7}:{(103,1),(105,1),(146,1),(160,1)}
       134:{1,4,5,7}:{(104,1),(105,1),(152,1),(161,1)}
       135:{2,3,5}:{(106,1),(107,1),(165,1)}
       136:{1,2,4,6}:{(107,1),(108,1),(151,1),(165,1),(166,1),(202,1)}
       137:{1,3,4,7}:{(108,1),(152,1),(166,1),(209,1)}
       138:{1,3,4}:{(109,1),(167,1)}
       139:{1,2,4,5}:{(109,1),(110,1),(114,1),(167,1),(168,1),(173,1)}
       140:{2,3,4,6}:{(110,1),(115,1),(168,1),(169,1),(189,1)}
       141:{1,3,4,7}:{(111,1),(113,1),(126,1),(170,1),(210,1),(213,1)}
       142:{1,2,5,7}:{(111,1),(112,1),(114,1),(170,1),(171,1)}
       143:{2,3,6}:{(112,1),(128,1),(171,1),(187,1)}
       144:{1,3,5}:{(113,1),(114,1),(131,1),(173,1)}
       145:{1,2,5,6}:{(114,1),(115,1),(168,1),(171,1),(174,1),(175,1)}
       146:{2,3,5,7}:{(115,1),(133,1),(169,1),(172,1),(175,1),(190,1)}
       147:{2,3,4,7}:{(116,1),(118,1),(126,1),(176,1),(191,1),(216,1)}
       148:{1,2,5,7}:{(116,1),(117,1),(119,1),(176,1),(177,1)}
       149:{1,3,6}:{(117,1),(129,1),(177,1),(187,1)}
       150:{2,3,5}:{(118,1),(119,1),(131,1),(179,1)}
       151:{1,2,5,6}:{(119,1),(120,1),(136,1),(177,1),(180,1),(181,1)}
       152:{1,3,5,7}:{(120,1),(134,1),(137,1),(178,1),(181,1),(190,1)}
       153:{3,4,6,7}:{(121,1),(126,1),(182,1),(187,1),(217,1)}
       154:{1,2,5,7}:{(121,1),(122,1),(123,1),(182,1),(183,1),(228,1),(229,1)}
       155:{2,5,6}:{(122,1),(124,1),(128,1)}
       156:{1,5,6}:{(123,1),(124,1),(129,1)}
       157:{3,5,6,7}:{(124,1),(125,1),(130,1),(184,1),(185,1)}
       158:{3,5,7}:{(126,1),(127,1),(131,1),(187,1)}
       159:{1,2,4,6}:{(127,1),(128,1),(129,1),(171,1),(177,1),(183,1),(187,1),(211,1),(214,1),(217,1)}
       160:{2,4,6,7}:{(128,1),(130,1),(133,1),(172,1),(184,1)}
       161:{1,4,6,7}:{(129,1),(130,1),(134,1),(178,1),(185,1)}
       162:{3,4,5}:{(131,1),(173,1),(179,1),(189,1)}
       163:{3,5,6}:{(131,1),(132,1),(187,1),(189,1),(190,1)}
       164:{1,2,4,5,7}:{(132,1),(133,1),(134,1),(175,1),(181,1),(188,1),(190,1),(213,1),(216,1),(228,1),(229,1),(230,1)}
       165:{2,3,6}:{(135,1),(136,1),(191,1)}
       166:{1,2,4,7}:{(136,1),(137,1),(181,1),(191,1),(216,1)}
       167:{1,3,5}:{(138,1),(139,1),(192,1)}
       168:{1,2,4,6}:{(139,1),(140,1),(145,1),(192,1),(193,1),(197,1)}
       169:{2,3,4,7}:{(140,1),(146,1),(193,1),(209,1)}
       170:{1,3,5,7}:{(141,1),(142,1),(144,1),(158,1),(194,1),(195,1)}
       171:{1,2,6}:{(142,1),(143,1),(195,1)}
       172:{2,3,6,7}:{(143,1),(146,1),(160,1),(196,1),(208,1)}
       173:{1,4,5}:{(144,1),(162,1),(197,1)}
       174:{1,3,5,6}:{(144,1),(145,1),(163,1),(192,1),(195,1),(197,1),(198,1),(221,1)}
       175:{1,2,5,7}:{(145,1),(146,1),(193,1),(196,1),(198,1)}
       176:{2,3,5,7}:{(147,1),(148,1),(150,1),(158,1),(199,1),(200,1)}
       177:{1,2,6}:{(148,1),(149,1),(200,1)}
       178:{1,3,6,7}:{(149,1),(152,1),(161,1),(201,1),(208,1)}
       179:{2,4,5}:{(150,1),(162,1),(202,1)}
       180:{2,3,5,6}:{(150,1),(151,1),(163,1),(165,1),(200,1),(202,1),(203,1),(223,1)}
       181:{1,2,5,7}:{(151,1),(152,1),(166,1),(201,1),(203,1)}
       182:{3,5,7}:{(153,1),(154,1),(204,1),(205,1)}
       183:{1,2,5,6}:{(154,1),(155,1),(156,1),(159,1),(205,1),(221,1),(223,1)}
       184:{2,5,6,7}:{(155,1),(157,1),(160,1)}
       185:{1,5,6,7}:{(156,1),(157,1),(161,1)}
       186:{3,4,5,7}:{(158,1),(162,1),(194,1),(199,1),(204,1),(207,1),(209,1),(227,1)}
       187:{3,6}:{(158,1),(159,1)}
       188:{1,2,4,6,7}:{(159,1),(160,1),(161,1),(164,1),(196,1),(201,1),(206,1),(208,1),(222,1),(224,1),(226,1)}
       189:{3,4,6}:{(162,1),(163,1),(197,1),(202,1),(209,1)}
       190:{3,5,7}:{(163,1),(164,1),(208,1),(209,1)}
       191:{2,3,7}:{(165,1),(166,1)}
       192:{1,3,6}:{(167,1),(168,1),(210,1)}
       193:{1,2,4,7}:{(168,1),(169,1),(175,1),(210,1),(213,1)}
       194:{1,4,5,7}:{(170,1),(173,1),(186,1),(211,1),(213,1),(228,1)}
       195:{1,3,6}:{(170,1),(171,1),(187,1),(211,1)}
       196:{1,2,6,7}:{(171,1),(172,1),(175,1),(212,1)}
       197:{1,4,6}:{(173,1),(174,1),(189,1),(213,1)}
       198:{1,3,5,7}:{(174,1),(175,1),(190,1),(210,1),(212,1),(213,1),(228,1)}
       199:{2,4,5,7}:{(176,1),(179,1),(186,1),(214,1),(216,1),(229,1)}
       200:{2,3,6}:{(176,1),(177,1),(187,1),(214,1)}
       201:{1,2,6,7}:{(177,1),(178,1),(181,1),(215,1)}
       202:{2,4,6}:{(179,1),(180,1),(189,1),(216,1)}
       203:{2,3,5,7}:{(180,1),(181,1),(190,1),(191,1),(215,1),(216,1),(229,1)}
       204:{4,5,7}:{(182,1),(217,1)}
       205:{3,5,6}:{(182,1),(183,1),(187,1),(217,1)}
       206:{1,2,5,6,7}:{(183,1),(184,1),(185,1),(188,1),(218,1),(228,1),(229,1)}
       207:{3,4,6}:{(186,1),(187,1),(211,1),(214,1),(217,1),(219,1)}
       208:{3,6,7}:{(187,1),(188,1),(190,1)}
       209:{3,4,7}:{(189,1),(190,1),(213,1),(216,1)}
       210:{1,3,7}:{(192,1),(193,1)}
       211:{1,4,6}:{(194,1),(195,1),(207,1),(221,1)}
       212:{1,3,6,7}:{(195,1),(196,1),(198,1),(208,1),(222,1)}
       213:{1,4,7}:{(197,1),(198,1),(209,1)}
       214:{2,4,6}:{(199,1),(200,1),(207,1),(223,1)}
       215:{2,3,6,7}:{(200,1),(201,1),(203,1),(208,1),(224,1)}
       216:{2,4,7}:{(202,1),(203,1),(209,1)}
       217:{4,6}:{(204,1),(205,1)}
       218:{3,5,6,7}:{(205,1),(206,1),(208,1),(226,1),(227,1)}
       219:{3,5,6}:{(207,1),(221,1),(223,1),(225,1),(227,1)}
       220:{3,4,6,7}:{(207,1),(208,1),(209,1),(222,1),(224,1),(226,1),(227,1)}
       221:{1,5,6}:{(211,1),(219,1),(228,1)}
       222:{1,4,6,7}:{(211,1),(212,1),(213,1),(220,1),(228,1)}
       223:{2,5,6}:{(214,1),(219,1),(229,1)}
       224:{2,4,6,7}:{(214,1),(215,1),(216,1),(220,1),(229,1)}
       225:{4,5,6}:{(217,1),(219,1),(230,1)}
       226:{4,6,7}:{(217,1),(218,1),(230,1)}
       227:{3,5,7}:{(219,1),(220,1),(228,1),(229,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(227,1)}
       229:{2,5,7}:{(223,1),(224,1),(227,1)}
       230:{4,5,7}:{(225,1),(226,1),(227,1)}

1000 :   0:{1,2,5,6,7}:{(1,1),(2,1),(30,1),(31,1),(59,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(17,1),(75,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(19,1),(23,1),(74,1)}
         3:{1,2,4,5,6}:{(5,1),(7,1),(16,1),(25,1),(26,1),(27,1),(42,1),(43,1),(53,1),(74,1),(97,1),(103,1),(104,1)}
         4:{4,6,7}:{(1,1),(8,1),(88,1)}
         5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(10,1),(30,1),(31,1),(33,1),(34,1),(35,1)}
         6:{3,6,7}:{(2,1),(10,1),(87,1)}
         7:{3,5,6}:{(3,1),(10,1),(13,1),(69,1),(87,1),(102,1)}
         8:{4,5,7}:{(4,1),(16,1),(17,1),(79,1),(97,1)}
         9:{3,4,6,7}:{(4,1),(6,1),(17,1),(18,1),(19,1),(20,1),(41,1),(47,1),(79,1),(96,1)}
        10:{3,5,7}:{(5,1),(6,1),(7,1),(20,1)}
        11:{1,3,6,7}:{(6,1),(18,1),(21,1),(23,1),(47,1),(72,1),(95,1)}
        12:{2,3,6,7}:{(6,1),(19,1),(22,1),(23,1),(47,1),(73,1),(94,1)}
        13:{3,4,6}:{(7,1),(20,1),(24,1),(25,1),(26,1),(56,1),(84,1)}
        14:{1,3,5,6}:{(7,1),(21,1),(25,1),(27,1),(42,1),(51,1),(56,1),(72,1),(75,1),(83,1),(95,1),(104,1)}
        15:{2,3,5,6}:{(7,1),(22,1),(26,1),(27,1),(43,1),(52,1),(56,1),(73,1),(75,1),(82,1),(94,1),(103,1)}
        16:{4,5,6}:{(8,1),(28,1),(88,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(30,1),(31,1),(102,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(30,1),(33,1),(57,1),(101,1)}
        19:{2,4,6,7}:{(9,1),(12,1),(31,1),(34,1),(58,1),(100,1)}
        20:{3,4,7}:{(10,1),(13,1),(33,1),(34,1),(66,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(14,1),(30,1),(33,1),(35,1),(63,1),(66,1)}
        22:{2,3,5,7}:{(10,1),(12,1),(15,1),(31,1),(34,1),(35,1),(63,1),(66,1)}
        23:{1,2,6,7}:{(11,1),(12,1),(35,1),(85,1),(86,1)}
        24:{3,4,5}:{(13,1),(36,1),(37,1),(69,1),(102,1)}
        25:{1,4,6}:{(13,1),(14,1),(33,1),(36,1),(88,1),(93,1)}
        26:{2,4,6}:{(13,1),(15,1),(34,1),(37,1),(88,1),(92,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(35,1),(40,1),(67,1),(68,1),(85,1),(86,1)}
        28:{3,5,6}:{(16,1),(17,1),(41,1),(42,1),(43,1)}
        29:{3,4,5,7}:{(17,1),(20,1),(24,1),(41,1),(44,1),(45,1),(78,1),(79,1),(97,1)}
        30:{1,5,7}:{(17,1),(18,1),(42,1),(104,1)}
        31:{2,5,7}:{(17,1),(19,1),(43,1),(103,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(23,1),(46,1),(47,1),(50,1),(74,1),(79,1)}
        33:{1,4,7}:{(20,1),(21,1),(25,1),(79,1)}
        34:{2,4,7}:{(20,1),(22,1),(26,1),(79,1)}
        35:{1,2,5,7}:{(21,1),(22,1),(23,1),(27,1),(50,1)}
        36:{1,4,5}:{(24,1),(25,1),(51,1),(97,1),(104,1)}
        37:{2,4,5}:{(24,1),(26,1),(52,1),(97,1),(103,1)}
        38:{1,3,4,6}:{(25,1),(48,1),(51,1),(54,1),(56,1),(72,1),(84,1),(96,1)}
        39:{2,3,4,6}:{(26,1),(49,1),(52,1),(55,1),(56,1),(73,1),(84,1),(96,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(50,1),(53,1),(56,1)}
        41:{3,4,6}:{(28,1),(29,1),(57,1),(58,1),(87,1),(88,1)}
        42:{1,5,6}:{(28,1),(30,1),(57,1)}
        43:{2,5,6}:{(28,1),(31,1),(58,1)}
        44:{1,4,5,7}:{(29,1),(30,1),(33,1),(36,1),(57,1),(60,1)}
        45:{2,4,5,7}:{(29,1),(31,1),(34,1),(37,1),(58,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(32,1),(59,1),(63,1)}
        47:{3,6,7}:{(32,1),(63,1),(66,1),(87,1)}
        48:{1,3,4,7}:{(33,1),(38,1),(60,1),(64,1),(66,1),(91,1)}
        49:{2,3,4,7}:{(34,1),(39,1),(61,1),(65,1),(66,1),(91,1)}
        50:{1,2,4,7}:{(33,1),(34,1),(35,1),(40,1),(66,1)}
        51:{1,3,5}:{(36,1),(38,1),(67,1),(69,1),(102,1)}
        52:{2,3,5}:{(37,1),(39,1),(68,1),(69,1),(102,1)}
        53:{1,2,4,5}:{(36,1),(37,1),(40,1),(67,1),(68,1),(69,1),(92,1),(93,1)}
        54:{1,2,4,6}:{(38,1),(64,1),(67,1),(70,1),(85,1),(92,1),(100,1)}
        55:{1,2,4,6}:{(39,1),(65,1),(68,1),(71,1),(86,1),(93,1),(101,1)}
        56:{3,6}:{(40,1),(66,1),(69,1)}
        57:{1,4,6}:{(41,1),(42,1),(44,1),(72,1)}
        58:{2,4,6}:{(41,1),(43,1),(45,1),(73,1)}
        59:{1,2,5,6}:{(42,1),(43,1),(46,1),(74,1),(75,1),(103,1),(104,1)}
        60:{1,3,5,7}:{(44,1),(48,1),(51,1),(72,1),(76,1),(78,1)}
        61:{2,3,5,7}:{(45,1),(49,1),(52,1),(73,1),(77,1),(78,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(53,1),(74,1),(76,1),(77,1),(78,1),(79,1),(97,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5,7}:{(46,1),(47,1),(75,1),(79,1)}
        64:{1,2,4,7}:{(48,1),(54,1),(76,1),(80,1),(98,1)}
        65:{1,2,4,7}:{(49,1),(55,1),(77,1),(81,1),(99,1)}
        66:{3,7}:{(50,1),(56,1)}
        67:{1,2,5}:{(51,1),(54,1),(82,1),(103,1)}
        68:{1,2,5}:{(52,1),(55,1),(83,1),(104,1)}
        69:{3,5}:{(53,1),(56,1),(84,1)}
        70:{2,3,6}:{(54,1),(56,1),(80,1),(82,1)}
        71:{1,3,6}:{(55,1),(56,1),(81,1),(83,1)}
        72:{1,3,6}:{(57,1),(60,1),(85,1),(87,1)}
        73:{2,3,6}:{(58,1),(61,1),(86,1),(87,1)}
        74:{1,2,4,6}:{(57,1),(58,1),(59,1),(62,1),(85,1),(86,1),(87,1),(88,1),(100,1),(101,1)}
        75:{3,5,6}:{(59,1),(63,1),(87,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(60,1),(64,1),(67,1),(85,1),(89,1)}
        77:{1,2,5,7}:{(61,1),(65,1),(68,1),(86,1),(90,1)}
        78:{3,5,7}:{(62,1),(66,1),(69,1),(87,1),(91,1),(102,1)}
        79:{4,7}:{(63,1),(88,1)}
        80:{2,3,7}:{(64,1),(66,1),(70,1)}
        81:{1,3,7}:{(65,1),(66,1),(71,1)}
        82:{2,3,5}:{(67,1),(69,1),(70,1),(92,1)}
        83:{1,3,5}:{(68,1),(69,1),(71,1),(93,1)}
        84:{3,4}:{(69,1),(92,1),(93,1)}
        85:{1,2,6}:{(72,1),(76,1),(94,1)}
        86:{1,2,6}:{(73,1),(77,1),(95,1)}
        87:{3,6}:{(74,1),(78,1)}
        88:{4,6}:{(75,1),(79,1),(97,1)}
        89:{2,3,5,7}:{(76,1),(78,1),(80,1),(82,1),(94,1),(98,1),(103,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(81,1),(83,1),(95,1),(99,1),(104,1)}
        91:{3,4,7}:{(78,1),(79,1),(84,1),(96,1),(98,1),(99,1)}
        92:{2,4}:{(82,1),(84,1)}
        93:{1,4}:{(83,1),(84,1)}
        94:{2,3,6}:{(85,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(86,1),(87,1),(90,1),(101,1)}
        96:{3,4,6}:{(87,1),(88,1),(91,1),(100,1),(101,1),(102,1)}
        97:{4,5}:{(88,1),(102,1)}
        98:{2,4,7}:{(89,1),(91,1),(92,1),(100,1)}
        99:{1,4,7}:{(90,1),(91,1),(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(96,1),(98,1),(103,1)}
       101:{1,4,6}:{(95,1),(96,1),(99,1),(104,1)}
       102:{3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{1,5}:{(101,1),(102,1)}

1001 :   0:{1,4,5,6}:{(3,1),(4,1),(26,1),(33,1),(85,1)}
         1:{1,3,4,6}:{(6,1),(7,1),(8,1),(26,1),(38,1),(77,1),(89,1),(128,1),(141,1)}
         2:{1,5,6,7}:{(9,1),(11,1),(97,1),(101,1)}
         3:{1,4,5,7}:{(0,1),(11,1),(12,1),(46,1),(48,1),(101,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(14,1)}
         5:{3,4,5}:{(10,1),(16,1),(17,1),(62,1)}
         6:{1,3,5}:{(1,1),(16,1),(19,1),(62,1),(151,1),(162,1)}
         7:{1,3,4,7}:{(1,1),(18,1),(20,1),(48,1),(104,1),(117,1),(150,1),(163,1)}
         8:{1,2,4,6}:{(1,1),(19,1),(20,1),(21,1),(63,1),(65,1),(118,1)}
         9:{3,5,6,7}:{(2,1),(23,1),(24,1),(28,1),(70,1),(73,1)}
        10:{3,4,6}:{(4,1),(5,1),(25,1),(26,1),(27,1),(77,1)}
        11:{1,4,6,7}:{(2,1),(3,1),(24,1),(28,1)}
        12:{3,5,7}:{(3,1),(4,1),(25,1),(28,1),(30,1)}
        13:{1,3,5,6}:{(4,1),(6,1),(26,1),(29,1),(31,1),(38,1),(77,1),(85,1),(140,1)}
        14:{2,5,6}:{(4,1),(27,1),(30,1)}
        15:{3,4,5,7}:{(5,1),(25,1),(34,1),(35,1),(36,1),(73,1),(88,1),(92,1),(123,1),(172,1),(180,1)}
        16:{1,4,5}:{(5,1),(6,1),(26,1),(180,1)}
        17:{2,4,5}:{(5,1),(27,1),(32,1)}
        18:{1,3,5,7}:{(6,1),(7,1),(35,1),(38,1),(39,1),(88,1),(143,1),(167,1),(171,1)}
        19:{1,2,5}:{(6,1),(8,1),(40,1),(142,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(39,1),(41,1),(91,1),(181,1)}
        21:{2,3,6}:{(8,1),(40,1),(41,1),(77,1)}
        22:{2,3,4}:{(32,1),(43,1),(89,1)}
        23:{2,5,6,7}:{(9,1),(44,1),(52,1),(102,1)}
        24:{4,6,7}:{(9,1),(46,1)}
        25:{3,4,7}:{(10,1),(12,1),(48,1),(49,1),(104,1)}
        26:{1,4,6}:{(10,1),(13,1),(16,1),(48,1),(161,1)}
        27:{2,4,6}:{(10,1),(14,1),(17,1),(45,1),(49,1)}
        28:{3,6,7}:{(11,1),(12,1),(52,1)}
        29:{1,3,5,7}:{(12,1),(13,1),(48,1),(51,1),(53,1),(101,1),(104,1),(152,1)}
        30:{2,5,7}:{(12,1),(14,1),(49,1),(52,1)}
        31:{1,2,5,6}:{(13,1),(14,1),(19,1),(50,1),(53,1),(54,1),(63,1),(151,1),(188,1)}
        32:{2,3,5}:{(17,1),(22,1),(45,1),(57,1),(62,1)}
        33:{4,5,6}:{(46,1),(58,1),(161,1)}
        34:{3,4,6}:{(15,1),(58,1),(59,1),(60,1),(116,1),(161,1)}
        35:{1,4,5,7}:{(15,1),(16,1),(18,1),(48,1),(59,1),(101,1),(119,1),(146,1)}
        36:{2,4,5,7}:{(15,1),(17,1),(49,1),(56,1),(60,1),(102,1),(120,1),(147,1)}
        37:{1,2,4,5}:{(16,1),(17,1),(19,1),(50,1),(57,1),(62,1),(65,1),(108,1),(114,1),(151,1)}
        38:{1,3,6}:{(18,1),(59,1),(63,1),(116,1),(188,1)}
        39:{1,2,5,7}:{(18,1),(19,1),(20,1),(63,1),(64,1),(164,1),(184,1)}
        40:{2,3,5}:{(19,1),(21,1),(62,1),(65,1)}
        41:{2,3,7}:{(20,1),(21,1),(104,1),(194,1)}
        42:{2,3,4,7}:{(22,1),(56,1),(66,1),(67,1),(117,1),(147,1),(185,1),(203,1)}
        43:{1,2,4}:{(22,1),(57,1),(68,1),(114,1)}
        44:{2,4,6,7}:{(23,1),(24,1),(69,1),(70,1)}
        45:{2,3,6}:{(27,1),(32,1),(71,1),(72,1),(77,1)}
        46:{4,5,7}:{(24,1),(33,1),(73,1),(172,1)}
        47:{3,4,6,7}:{(24,1),(25,1),(28,1),(34,1),(70,1),(73,1),(74,1),(75,1),(123,1),(130,1),(172,1)}
        48:{1,4,7}:{(25,1),(26,1),(29,1),(172,1)}
        49:{2,4,7}:{(25,1),(27,1),(30,1),(71,1)}
        50:{1,2,4,6}:{(26,1),(27,1),(31,1),(37,1),(72,1),(76,1),(77,1),(80,1),(128,1)}
        51:{1,3,6,7}:{(28,1),(29,1),(38,1),(74,1),(78,1),(130,1),(167,1)}
        52:{2,6,7}:{(28,1),(30,1)}
        53:{1,2,5,7}:{(29,1),(30,1),(31,1),(76,1),(78,1),(79,1),(171,1)}
        54:{2,3,5,6}:{(31,1),(40,1),(77,1),(79,1),(80,1),(90,1),(132,1),(140,1),(142,1),(174,1),(175,1)}
        55:{2,4,5,6}:{(33,1),(69,1),(81,1),(86,1),(136,1)}
        56:{2,3,5,7}:{(32,1),(36,1),(42,1),(71,1),(82,1),(83,1),(88,1),(93,1),(207,1)}
        57:{1,2,5}:{(32,1),(43,1),(72,1),(84,1)}
        58:{3,5,6}:{(33,1),(34,1),(73,1),(85,1),(86,1)}
        59:{1,4,6}:{(34,1),(35,1),(38,1),(85,1)}
        60:{2,4,6}:{(34,1),(36,1),(82,1),(86,1)}
        61:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(39,1),(76,1),(83,1),(87,1),(88,1),(91,1),(129,1),(134,1),(139,1),(142,1),(144,1),(168,1),(171,1),(172,1),(179,1),(180,1),(198,1),(207,1)}
        62:{3,5}:{(37,1),(77,1),(89,1)}
        63:{1,2,6}:{(38,1),(39,1),(90,1)}
        64:{2,3,5,7}:{(39,1),(40,1),(41,1),(88,1),(90,1),(91,1),(142,1),(182,1),(196,1),(207,1)}
        65:{2,4}:{(40,1),(89,1)}
        66:{2,3,4,6}:{(42,1),(82,1),(93,1),(94,1),(136,1),(141,1),(177,1),(183,1),(201,1)}
        67:{1,2,4,7}:{(42,1),(43,1),(83,1),(94,1),(95,1),(139,1)}
        68:{1,3}:{(43,1)}
        69:{2,4,5,7}:{(44,1),(46,1),(55,1),(96,1),(102,1),(147,1)}
        70:{3,6,7}:{(44,1),(96,1),(97,1)}
        71:{2,3,7}:{(45,1),(49,1),(99,1),(104,1)}
        72:{1,2,6}:{(45,1),(57,1),(99,1),(100,1)}
        73:{3,5,7}:{(46,1),(47,1),(58,1),(101,1),(102,1)}
        74:{1,4,6,7}:{(47,1),(48,1),(51,1),(59,1),(97,1),(101,1),(146,1)}
        75:{2,4,6,7}:{(47,1),(49,1),(52,1),(60,1),(98,1),(102,1),(147,1)}
        76:{1,2,4,7}:{(48,1),(49,1),(50,1),(53,1),(99,1),(104,1),(107,1),(150,1)}
        77:{3,6}:{(50,1),(62,1),(104,1)}
        78:{1,2,6,7}:{(51,1),(52,1),(53,1),(63,1),(106,1),(184,1),(188,1)}
        79:{2,3,5,7}:{(53,1),(54,1),(104,1),(106,1),(107,1),(152,1),(154,1),(155,1)}
        80:{2,4,6}:{(54,1),(65,1),(105,1),(107,1),(108,1),(161,1)}
        81:{3,5,6}:{(55,1),(96,1),(109,1),(110,1)}
        82:{2,3,6}:{(56,1),(60,1),(112,1),(116,1),(209,1)}
        83:{1,2,5,7}:{(56,1),(57,1),(67,1),(99,1),(112,1),(113,1),(121,1)}
        84:{1,3,5}:{(57,1),(62,1),(68,1),(100,1),(114,1),(151,1)}
        85:{1,5,6}:{(58,1),(59,1),(101,1)}
        86:{2,5,6}:{(58,1),(60,1),(102,1)}
        87:{1,2,4,6}:{(59,1),(60,1),(61,1),(63,1),(112,1),(115,1),(116,1),(118,1),(156,1),(160,1),(161,1),(188,1),(205,1),(209,1)}
        88:{3,5,7}:{(61,1),(62,1),(104,1),(116,1),(117,1),(162,1),(165,1),(185,1)}
        89:{3,4}:{(62,1),(65,1),(114,1)}
        90:{2,3,6}:{(63,1),(64,1),(116,1),(118,1),(209,1)}
        91:{2,4,7}:{(64,1),(65,1),(117,1),(118,1),(195,1)}
        92:{3,4,5}:{(109,1),(119,1),(120,1),(165,1)}
        93:{2,3,5}:{(66,1),(120,1),(121,1),(162,1),(165,1),(206,1)}
        94:{1,2,4,6}:{(66,1),(67,1),(112,1),(121,1),(122,1),(160,1),(166,1)}
        95:{1,3,7}:{(67,1),(68,1),(122,1),(185,1)}
        96:{3,5,7}:{(69,1),(70,1),(81,1),(123,1),(124,1)}
        97:{1,6,7}:{(70,1),(124,1)}
        98:{2,3,6,7}:{(70,1),(71,1),(75,1),(82,1),(125,1),(126,1),(130,1)}
        99:{1,2,7}:{(71,1),(72,1),(127,1)}
       100:{1,3,6}:{(72,1),(77,1),(84,1),(127,1),(128,1)}
       101:{1,5,7}:{(73,1),(74,1),(85,1)}
       102:{2,5,7}:{(73,1),(75,1),(86,1)}
       103:{1,2,4,6,7}:{(74,1),(75,1),(76,1),(78,1),(87,1),(126,1),(129,1),(130,1),(133,1),(168,1),(170,1),(172,1)}
       104:{3,7}:{(76,1),(77,1)}
       105:{3,4,6}:{(77,1),(80,1),(89,1),(128,1),(131,1),(132,1),(174,1)}
       106:{2,3,6,7}:{(78,1),(79,1),(90,1),(130,1),(133,1),(174,1),(196,1)}
       107:{2,4,7}:{(79,1),(80,1),(131,1),(172,1)}
       108:{2,4,5}:{(80,1),(132,1),(142,1),(180,1)}
       109:{3,4,6}:{(81,1),(92,1),(123,1),(135,1),(136,1),(177,1)}
       110:{1,5,6}:{(81,1),(124,1),(135,1)}
       111:{2,3,5,6}:{(81,1),(82,1),(86,1),(93,1),(125,1),(136,1),(137,1),(140,1),(177,1)}
       112:{1,2,6}:{(82,1),(83,1),(138,1)}
       113:{1,3,5,7}:{(83,1),(84,1),(88,1),(95,1),(127,1),(138,1),(139,1),(145,1),(171,1),(179,1)}
       114:{1,4}:{(84,1),(89,1)}
       115:{1,2,5,6}:{(85,1),(86,1),(87,1),(129,1),(140,1),(142,1),(175,1),(179,1),(199,1)}
       116:{3,6}:{(87,1),(88,1)}
       117:{3,4,7}:{(88,1),(89,1),(91,1),(139,1),(141,1),(172,1),(183,1)}
       118:{2,4,6}:{(90,1),(91,1),(141,1),(142,1)}
       119:{1,4,5}:{(92,1),(135,1),(143,1)}
       120:{2,4,5}:{(92,1),(93,1),(136,1),(180,1)}
       121:{1,2,5}:{(93,1),(94,1),(145,1),(179,1)}
       122:{1,3,6}:{(94,1),(95,1),(145,1),(177,1)}
       123:{3,4,7}:{(96,1),(109,1),(146,1),(147,1),(185,1)}
       124:{1,5,7}:{(96,1),(97,1),(110,1),(146,1)}
       125:{2,3,5,7}:{(96,1),(98,1),(102,1),(111,1),(147,1),(148,1),(152,1),(185,1)}
       126:{1,2,6,7}:{(97,1),(98,1),(99,1),(112,1),(148,1),(149,1),(209,1)}
       127:{1,3,7}:{(99,1),(100,1),(104,1),(150,1)}
       128:{1,4,6}:{(100,1),(105,1),(114,1),(150,1),(151,1),(188,1)}
       129:{1,2,5,7}:{(101,1),(102,1),(103,1),(115,1),(152,1),(155,1),(187,1)}
       130:{3,6,7}:{(103,1),(104,1),(116,1),(152,1),(185,1)}
       131:{3,4,7}:{(104,1),(105,1),(107,1),(150,1),(154,1)}
       132:{3,5}:{(105,1),(108,1),(151,1)}
       133:{2,4,6,7}:{(106,1),(107,1),(118,1),(153,1),(155,1),(156,1),(203,1),(209,1)}
       134:{2,4,5,7}:{(107,1),(108,1),(154,1),(155,1),(156,1),(189,1)}
       135:{1,4,6}:{(109,1),(110,1),(119,1),(146,1),(157,1)}
       136:{2,4,6}:{(109,1),(111,1),(120,1),(147,1),(161,1)}
       137:{1,2,5,6}:{(110,1),(111,1),(112,1),(121,1),(148,1),(158,1),(159,1),(206,1),(209,1)}
       138:{1,3,6}:{(112,1),(113,1),(116,1),(160,1),(188,1)}
       139:{1,4,7}:{(113,1),(114,1),(117,1),(160,1),(166,1)}
       140:{3,5,6}:{(115,1),(116,1),(152,1),(161,1),(162,1)}
       141:{3,4,6}:{(116,1),(117,1),(118,1),(160,1),(161,1),(162,1)}
       142:{2,5}:{(118,1),(162,1)}
       143:{1,3,5}:{(119,1),(157,1),(163,1),(164,1),(165,1)}
       144:{1,2,4,5}:{(119,1),(120,1),(121,1),(158,1),(164,1),(165,1),(166,1),(193,1),(195,1),(206,1)}
       145:{1,3,5}:{(121,1),(122,1),(165,1),(166,1)}
       146:{1,4,7}:{(123,1),(124,1),(135,1),(167,1)}
       147:{2,4,7}:{(123,1),(125,1),(136,1),(172,1)}
       148:{1,2,5,7}:{(124,1),(125,1),(126,1),(137,1),(168,1),(169,1),(207,1)}
       149:{1,3,6,7}:{(126,1),(127,1),(130,1),(138,1),(169,1),(170,1),(208,1)}
       150:{1,4,7}:{(127,1),(128,1),(131,1),(171,1)}
       151:{1,5}:{(128,1),(132,1)}
       152:{3,5,7}:{(129,1),(130,1),(140,1),(172,1)}
       153:{3,4,6,7}:{(130,1),(131,1),(133,1),(141,1),(170,1),(172,1),(173,1),(174,1),(197,1),(200,1),(208,1)}
       154:{3,5,7}:{(131,1),(132,1),(134,1),(171,1),(174,1)}
       155:{2,5,7}:{(133,1),(142,1),(173,1),(175,1)}
       156:{2,4,6}:{(134,1),(174,1),(175,1),(200,1)}
       157:{1,3,6}:{(135,1),(143,1),(167,1),(176,1),(177,1)}
       158:{1,2,4,6}:{(135,1),(136,1),(137,1),(144,1),(168,1),(176,1),(177,1),(178,1),(201,1)}
       159:{1,3,5,6}:{(137,1),(138,1),(140,1),(145,1),(169,1),(177,1),(178,1),(179,1),(199,1),(202,1),(208,1)}
       160:{1,4,6}:{(138,1),(139,1),(141,1),(179,1)}
       161:{4,6}:{(140,1),(172,1),(180,1)}
       162:{3,5}:{(141,1),(142,1),(179,1),(180,1)}
       163:{1,3,4}:{(143,1),(181,1),(183,1)}
       164:{1,2,5}:{(143,1),(176,1),(181,1),(182,1)}
       165:{3,5}:{(144,1),(177,1),(183,1)}
       166:{1,4}:{(145,1),(183,1)}
       167:{1,3,7}:{(146,1),(157,1),(184,1),(185,1)}
       168:{1,2,4,7}:{(146,1),(147,1),(148,1),(158,1),(184,1),(185,1),(186,1),(203,1)}
       169:{1,3,5,7}:{(148,1),(149,1),(152,1),(159,1),(185,1),(186,1),(187,1),(204,1)}
       170:{1,4,6,7}:{(149,1),(150,1),(153,1),(160,1),(186,1),(187,1),(188,1),(205,1)}
       171:{1,5,7}:{(150,1),(151,1),(154,1),(188,1)}
       172:{4,7}:{(152,1),(161,1)}
       173:{3,5,7}:{(153,1),(155,1),(162,1),(187,1),(189,1),(190,1)}
       174:{3,6}:{(154,1),(156,1),(188,1)}
       175:{2,5,6}:{(155,1),(156,1),(190,1),(209,1)}
       176:{1,2,6}:{(157,1),(164,1),(184,1),(191,1)}
       177:{3,6}:{(158,1),(165,1),(185,1)}
       178:{1,4,6}:{(159,1),(161,1),(166,1),(186,1),(192,1),(193,1)}
       179:{1,5}:{(160,1),(162,1)}
       180:{4,5}:{(161,1),(162,1)}
       181:{1,2,4}:{(163,1),(164,1),(194,1),(195,1)}
       182:{2,3,5}:{(164,1),(165,1),(191,1),(194,1),(195,1),(206,1)}
       183:{3,4}:{(165,1),(166,1),(195,1)}
       184:{1,2,7}:{(167,1),(176,1),(196,1)}
       185:{3,7}:{(168,1),(177,1)}
       186:{1,4,7}:{(169,1),(172,1),(178,1),(197,1)}
       187:{1,5,7}:{(170,1),(173,1),(179,1),(199,1)}
       188:{1,6}:{(171,1),(174,1)}
       189:{4,5,7}:{(172,1),(173,1),(180,1),(200,1)}
       190:{3,5,6}:{(173,1),(174,1),(175,1),(199,1),(200,1),(208,1)}
       191:{2,3,6}:{(176,1),(177,1),(182,1),(196,1),(201,1)}
       192:{3,4,6}:{(177,1),(178,1),(183,1),(197,1),(201,1),(202,1),(208,1)}
       193:{1,4,5}:{(178,1),(179,1),(180,1),(202,1)}
       194:{2,3}:{(181,1)}
       195:{2,4}:{(182,1),(183,1)}
       196:{2,3,7}:{(184,1),(185,1),(191,1),(203,1)}
       197:{3,4,7}:{(185,1),(186,1),(192,1),(203,1),(204,1)}
       198:{1,4,5,7}:{(186,1),(187,1),(189,1),(193,1),(204,1),(205,1)}
       199:{1,5,6}:{(187,1),(188,1),(190,1),(205,1)}
       200:{4,6}:{(189,1),(190,1)}
       201:{2,4,6}:{(191,1),(192,1),(195,1),(203,1),(206,1),(209,1)}
       202:{3,5}:{(192,1),(193,1),(206,1)}
       203:{2,4,7}:{(196,1),(197,1),(201,1),(207,1)}
       204:{3,5,7}:{(197,1),(198,1),(202,1),(207,1),(208,1)}
       205:{1,4,6}:{(198,1),(199,1),(200,1),(208,1)}
       206:{2,5}:{(201,1),(202,1)}
       207:{2,5,7}:{(203,1),(204,1),(206,1),(209,1)}
       208:{3,6}:{(204,1),(205,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

1002 :   0:{1,5,6,7}:{(2,1),(4,1),(79,1),(91,1)}
         1:{1,3,4,7}:{(6,1),(7,1),(8,1),(90,1),(96,1),(97,1),(153,1),(189,1)}
         2:{3,5,6,7}:{(0,1),(9,1),(11,1),(17,1),(50,1),(58,1)}
         3:{3,4,5,7}:{(13,1),(14,1),(15,1),(21,1),(54,1),(58,1),(64,1),(65,1),(109,1),(170,1),(172,1)}
         4:{1,4,6,7}:{(0,1),(11,1),(16,1),(17,1)}
         5:{1,4,5,6}:{(12,1),(16,1),(18,1),(61,1),(69,1)}
         6:{1,3,5,7}:{(1,1),(14,1),(19,1),(20,1),(22,1),(64,1),(118,1),(160,1),(200,1)}
         7:{1,3,4,6}:{(1,1),(19,1),(22,1),(23,1),(69,1),(125,1),(131,1),(135,1),(177,1)}
         8:{1,2,4,7}:{(1,1),(20,1),(23,1),(24,1),(73,1),(121,1)}
         9:{2,5,6,7}:{(2,1),(25,1),(38,1),(92,1)}
        10:{2,3,4,7}:{(27,1),(28,1),(29,1),(48,1),(96,1),(137,1),(180,1),(202,1)}
        11:{4,6,7}:{(2,1),(30,1)}
        12:{4,5,6}:{(30,1),(32,1),(150,1)}
        13:{3,4,6}:{(3,1),(32,1),(33,1),(34,1),(95,1),(150,1)}
        14:{1,4,5,7}:{(3,1),(6,1),(33,1),(44,1),(86,1),(91,1),(97,1),(136,1)}
        15:{2,4,5,7}:{(3,1),(27,1),(34,1),(45,1),(87,1),(92,1),(98,1),(137,1)}
        16:{1,4,5,7}:{(4,1),(5,1),(30,1),(36,1),(91,1),(97,1)}
        17:{3,6,7}:{(4,1),(36,1),(38,1)}
        18:{3,5,6}:{(5,1),(36,1),(39,1),(41,1)}
        19:{1,3,6}:{(6,1),(33,1),(42,1),(95,1),(206,1)}
        20:{1,2,5,7}:{(6,1),(8,1),(42,1),(43,1),(46,1),(144,1),(179,1)}
        21:{3,4,5}:{(39,1),(44,1),(45,1),(106,1)}
        22:{1,3,5}:{(7,1),(44,1),(46,1),(106,1),(151,1),(192,1)}
        23:{1,2,4,6}:{(7,1),(8,1),(42,1),(46,1),(47,1),(104,1),(107,1)}
        24:{2,3,7}:{(8,1),(47,1),(147,1),(153,1)}
        25:{2,4,6,7}:{(9,1),(11,1),(49,1),(50,1)}
        26:{2,4,5,6}:{(12,1),(49,1),(51,1),(62,1),(114,1)}
        27:{2,3,5,7}:{(10,1),(15,1),(52,1),(53,1),(55,1),(64,1),(74,1),(126,1),(207,1)}
        28:{2,3,4,6}:{(10,1),(52,1),(55,1),(56,1),(114,1),(125,1),(165,1),(169,1),(197,1)}
        29:{1,2,4,7}:{(10,1),(53,1),(56,1),(57,1),(77,1),(117,1)}
        30:{4,5,7}:{(11,1),(12,1),(58,1),(170,1)}
        31:{3,4,6,7}:{(11,1),(13,1),(17,1),(50,1),(58,1),(59,1),(60,1),(65,1),(109,1),(123,1),(170,1)}
        32:{3,5,6}:{(12,1),(13,1),(58,1),(61,1),(62,1)}
        33:{1,4,6}:{(13,1),(14,1),(19,1),(61,1)}
        34:{2,4,6}:{(13,1),(15,1),(52,1),(62,1)}
        35:{1,2,4,5,7}:{(14,1),(15,1),(20,1),(53,1),(63,1),(64,1),(73,1),(75,1),(117,1),(119,1),(122,1),(127,1),(133,1),(161,1),(167,1),(170,1),(172,1),(175,1),(195,1),(200,1),(207,1)}
        36:{3,5,7}:{(16,1),(17,1),(18,1),(65,1),(67,1)}
        37:{1,3,6,7}:{(17,1),(19,1),(59,1),(66,1),(68,1),(123,1),(160,1)}
        38:{2,6,7}:{(17,1),(67,1)}
        39:{3,4,6}:{(18,1),(21,1),(65,1),(69,1),(70,1),(131,1)}
        40:{1,3,5,6}:{(18,1),(19,1),(22,1),(61,1),(66,1),(69,1),(71,1),(124,1),(131,1)}
        41:{2,5,6}:{(18,1),(67,1),(70,1)}
        42:{1,2,6}:{(19,1),(20,1),(72,1)}
        43:{2,3,5,7}:{(20,1),(24,1),(64,1),(72,1),(73,1),(76,1),(133,1),(168,1),(193,1),(207,1)}
        44:{1,4,5}:{(21,1),(22,1),(69,1),(172,1)}
        45:{2,4,5}:{(21,1),(70,1),(74,1)}
        46:{1,2,5}:{(22,1),(23,1),(76,1),(133,1)}
        47:{2,3,6}:{(23,1),(24,1),(76,1),(131,1)}
        48:{2,3,4}:{(74,1),(77,1),(135,1)}
        49:{2,4,5,7}:{(25,1),(26,1),(30,1),(78,1),(92,1),(137,1)}
        50:{3,6,7}:{(25,1),(78,1),(79,1)}
        51:{3,5,6}:{(26,1),(78,1),(81,1),(82,1)}
        52:{2,3,6}:{(27,1),(34,1),(84,1),(95,1),(209,1)}
        53:{1,2,5,7}:{(27,1),(29,1),(84,1),(85,1),(88,1),(105,1),(152,1)}
        54:{3,4,5}:{(81,1),(86,1),(87,1),(145,1)}
        55:{2,3,5}:{(28,1),(87,1),(88,1),(145,1),(151,1),(205,1)}
        56:{1,2,4,6}:{(28,1),(29,1),(84,1),(88,1),(89,1),(143,1),(146,1)}
        57:{1,3,7}:{(29,1),(89,1),(108,1),(180,1)}
        58:{3,5,7}:{(30,1),(31,1),(32,1),(91,1),(92,1)}
        59:{1,4,6,7}:{(31,1),(33,1),(37,1),(79,1),(91,1),(97,1),(136,1)}
        60:{2,4,6,7}:{(31,1),(34,1),(38,1),(80,1),(92,1),(98,1),(137,1)}
        61:{1,5,6}:{(32,1),(33,1),(91,1)}
        62:{2,5,6}:{(32,1),(34,1),(92,1)}
        63:{1,2,4,6}:{(33,1),(34,1),(35,1),(42,1),(84,1),(94,1),(95,1),(104,1),(143,1),(150,1),(191,1),(204,1),(206,1),(209,1)}
        64:{3,5,7}:{(35,1),(95,1),(96,1),(106,1),(145,1),(151,1),(153,1),(180,1)}
        65:{3,4,7}:{(36,1),(39,1),(97,1),(98,1),(153,1)}
        66:{1,3,5,7}:{(36,1),(37,1),(40,1),(91,1),(97,1),(99,1),(148,1),(153,1)}
        67:{2,5,7}:{(36,1),(38,1),(41,1),(98,1)}
        68:{1,2,6,7}:{(37,1),(38,1),(42,1),(99,1),(100,1),(179,1),(206,1)}
        69:{1,4,6}:{(39,1),(40,1),(44,1),(97,1),(150,1)}
        70:{2,4,6}:{(39,1),(41,1),(45,1),(98,1),(101,1)}
        71:{1,2,5,6}:{(40,1),(41,1),(42,1),(46,1),(99,1),(102,1),(103,1),(192,1),(206,1)}
        72:{2,3,6}:{(42,1),(43,1),(95,1),(104,1),(209,1)}
        73:{2,4,7}:{(43,1),(96,1),(104,1),(107,1),(186,1)}
        74:{2,3,5}:{(45,1),(48,1),(101,1),(105,1),(106,1)}
        75:{1,2,4,5}:{(44,1),(45,1),(46,1),(102,1),(105,1),(106,1),(107,1),(158,1),(159,1),(192,1)}
        76:{2,3,5}:{(46,1),(47,1),(106,1),(107,1)}
        77:{1,2,4}:{(48,1),(105,1),(108,1),(159,1)}
        78:{3,5,7}:{(49,1),(50,1),(51,1),(109,1),(110,1)}
        79:{1,6,7}:{(50,1),(110,1)}
        80:{2,3,6,7}:{(50,1),(52,1),(60,1),(111,1),(112,1),(123,1),(126,1)}
        81:{3,4,6}:{(51,1),(54,1),(109,1),(113,1),(114,1),(165,1)}
        82:{1,5,6}:{(51,1),(110,1),(113,1)}
        83:{2,3,5,6}:{(51,1),(52,1),(55,1),(62,1),(111,1),(114,1),(115,1),(124,1),(165,1)}
        84:{1,2,6}:{(52,1),(53,1),(116,1)}
        85:{1,3,5,7}:{(53,1),(57,1),(64,1),(116,1),(117,1),(120,1),(134,1),(167,1),(173,1),(200,1)}
        86:{1,4,5}:{(54,1),(113,1),(118,1)}
        87:{2,4,5}:{(54,1),(55,1),(114,1),(172,1)}
        88:{1,2,5}:{(55,1),(56,1),(120,1),(167,1)}
        89:{1,3,6}:{(56,1),(57,1),(120,1),(165,1)}
        90:{1,3,4}:{(118,1),(121,1),(169,1)}
        91:{1,5,7}:{(58,1),(59,1),(61,1)}
        92:{2,5,7}:{(58,1),(60,1),(62,1)}
        93:{1,2,4,6,7}:{(59,1),(60,1),(63,1),(68,1),(112,1),(122,1),(123,1),(127,1),(129,1),(161,1),(163,1),(170,1)}
        94:{1,2,5,6}:{(61,1),(62,1),(63,1),(122,1),(124,1),(133,1),(167,1),(176,1),(196,1)}
        95:{3,6}:{(63,1),(64,1)}
        96:{3,4,7}:{(64,1),(73,1),(117,1),(125,1),(135,1),(169,1),(170,1)}
        97:{1,4,7}:{(65,1),(66,1),(69,1),(170,1)}
        98:{2,4,7}:{(65,1),(67,1),(70,1),(126,1)}
        99:{1,2,5,7}:{(66,1),(67,1),(68,1),(71,1),(127,1),(128,1),(200,1)}
       100:{2,3,6,7}:{(68,1),(72,1),(123,1),(128,1),(129,1),(193,1),(201,1)}
       101:{2,3,6}:{(70,1),(74,1),(126,1),(130,1),(131,1)}
       102:{1,2,4,6}:{(69,1),(70,1),(71,1),(75,1),(127,1),(130,1),(131,1),(132,1),(177,1)}
       103:{2,3,5,6}:{(71,1),(72,1),(76,1),(124,1),(128,1),(131,1),(132,1),(133,1),(176,1),(178,1),(201,1)}
       104:{2,4,6}:{(72,1),(73,1),(125,1),(133,1)}
       105:{1,2,5}:{(74,1),(77,1),(130,1),(134,1)}
       106:{3,5}:{(75,1),(131,1),(135,1)}
       107:{2,4}:{(76,1),(135,1)}
       108:{1,3}:{(77,1)}
       109:{3,4,7}:{(78,1),(81,1),(136,1),(137,1),(180,1)}
       110:{1,5,7}:{(78,1),(79,1),(82,1),(136,1)}
       111:{2,3,5,7}:{(78,1),(80,1),(83,1),(92,1),(137,1),(138,1),(148,1),(180,1)}
       112:{1,2,6,7}:{(79,1),(80,1),(84,1),(138,1),(139,1),(152,1),(209,1)}
       113:{1,4,6}:{(81,1),(82,1),(86,1),(136,1),(140,1)}
       114:{2,4,6}:{(81,1),(83,1),(87,1),(137,1),(150,1)}
       115:{1,2,5,6}:{(82,1),(83,1),(84,1),(88,1),(138,1),(141,1),(142,1),(205,1),(209,1)}
       116:{1,3,6}:{(84,1),(85,1),(95,1),(143,1),(206,1)}
       117:{1,4,7}:{(85,1),(96,1),(143,1),(146,1),(159,1)}
       118:{1,3,5}:{(86,1),(90,1),(140,1),(144,1),(145,1)}
       119:{1,2,4,5}:{(86,1),(87,1),(88,1),(141,1),(144,1),(145,1),(146,1),(185,1),(186,1),(205,1)}
       120:{1,3,5}:{(88,1),(89,1),(145,1),(146,1)}
       121:{1,2,4}:{(90,1),(144,1),(147,1),(186,1)}
       122:{1,2,5,7}:{(91,1),(92,1),(93,1),(94,1),(148,1),(155,1),(182,1)}
       123:{3,6,7}:{(93,1),(95,1),(148,1),(153,1),(180,1)}
       124:{3,5,6}:{(94,1),(95,1),(148,1),(150,1),(151,1)}
       125:{3,4,6}:{(95,1),(96,1),(104,1),(143,1),(150,1),(151,1)}
       126:{2,3,7}:{(98,1),(101,1),(152,1),(153,1)}
       127:{1,2,4,7}:{(97,1),(98,1),(99,1),(102,1),(152,1),(153,1),(154,1),(189,1)}
       128:{2,3,5,7}:{(99,1),(100,1),(103,1),(148,1),(153,1),(154,1),(155,1),(190,1)}
       129:{2,4,6,7}:{(100,1),(104,1),(149,1),(154,1),(155,1),(191,1),(202,1),(209,1)}
       130:{1,2,6}:{(101,1),(105,1),(152,1),(156,1)}
       131:{3,6}:{(102,1),(106,1),(153,1)}
       132:{2,4,6}:{(103,1),(107,1),(150,1),(154,1),(157,1),(158,1)}
       133:{2,5}:{(104,1),(151,1)}
       134:{1,3,5}:{(105,1),(106,1),(108,1),(156,1),(159,1),(192,1)}
       135:{3,4}:{(106,1),(107,1),(159,1)}
       136:{1,4,7}:{(109,1),(110,1),(113,1),(160,1)}
       137:{2,4,7}:{(109,1),(111,1),(114,1),(170,1)}
       138:{1,2,5,7}:{(110,1),(111,1),(112,1),(115,1),(161,1),(162,1),(207,1)}
       139:{1,3,6,7}:{(112,1),(116,1),(123,1),(162,1),(163,1),(173,1),(208,1)}
       140:{1,3,6}:{(113,1),(118,1),(160,1),(164,1),(165,1)}
       141:{1,2,4,6}:{(113,1),(114,1),(115,1),(119,1),(161,1),(164,1),(165,1),(166,1),(197,1)}
       142:{1,3,5,6}:{(115,1),(116,1),(120,1),(124,1),(162,1),(165,1),(166,1),(167,1),(196,1),(198,1),(208,1)}
       143:{1,4,6}:{(116,1),(117,1),(125,1),(167,1)}
       144:{1,2,5}:{(118,1),(121,1),(164,1),(168,1)}
       145:{3,5}:{(119,1),(165,1),(169,1)}
       146:{1,4}:{(120,1),(169,1)}
       147:{2,3}:{(121,1)}
       148:{3,5,7}:{(122,1),(123,1),(124,1),(170,1)}
       149:{3,4,6,7}:{(123,1),(125,1),(129,1),(163,1),(170,1),(171,1),(174,1),(194,1),(199,1),(201,1),(208,1)}
       150:{4,6}:{(124,1),(170,1),(172,1)}
       151:{3,5}:{(125,1),(133,1),(167,1),(172,1)}
       152:{1,2,7}:{(126,1),(130,1),(173,1)}
       153:{3,7}:{(127,1),(131,1)}
       154:{2,4,7}:{(128,1),(132,1),(170,1),(174,1)}
       155:{2,5,7}:{(129,1),(133,1),(171,1),(176,1)}
       156:{1,3,6}:{(130,1),(131,1),(134,1),(173,1),(177,1)}
       157:{3,4,6}:{(131,1),(132,1),(135,1),(174,1),(177,1),(178,1),(201,1)}
       158:{2,4,5}:{(132,1),(133,1),(172,1),(178,1)}
       159:{1,4}:{(134,1),(135,1)}
       160:{1,3,7}:{(136,1),(140,1),(179,1),(180,1)}
       161:{1,2,4,7}:{(136,1),(137,1),(138,1),(141,1),(179,1),(180,1),(181,1),(202,1)}
       162:{1,3,5,7}:{(138,1),(139,1),(142,1),(148,1),(180,1),(181,1),(182,1),(203,1)}
       163:{1,4,6,7}:{(139,1),(143,1),(149,1),(181,1),(182,1),(189,1),(204,1),(206,1)}
       164:{1,2,6}:{(140,1),(144,1),(179,1),(183,1)}
       165:{3,6}:{(141,1),(145,1),(180,1)}
       166:{1,4,6}:{(142,1),(146,1),(150,1),(181,1),(184,1),(185,1)}
       167:{1,5}:{(143,1),(151,1)}
       168:{2,3,5}:{(144,1),(145,1),(147,1),(183,1),(186,1),(205,1)}
       169:{3,4}:{(145,1),(146,1),(186,1)}
       170:{4,7}:{(148,1),(150,1)}
       171:{3,5,7}:{(149,1),(151,1),(155,1),(182,1),(187,1),(188,1)}
       172:{4,5}:{(150,1),(151,1)}
       173:{1,3,7}:{(152,1),(153,1),(156,1),(189,1)}
       174:{3,4,7}:{(153,1),(154,1),(157,1),(189,1),(190,1)}
       175:{2,4,5,7}:{(154,1),(155,1),(158,1),(187,1),(190,1),(191,1)}
       176:{2,5,6}:{(155,1),(188,1),(191,1),(209,1)}
       177:{1,4,6}:{(156,1),(157,1),(159,1),(189,1),(192,1),(206,1)}
       178:{3,5}:{(157,1),(158,1),(192,1)}
       179:{1,2,7}:{(160,1),(164,1),(193,1)}
       180:{3,7}:{(161,1),(165,1)}
       181:{1,4,7}:{(162,1),(166,1),(170,1),(194,1)}
       182:{1,5,7}:{(163,1),(167,1),(171,1),(196,1)}
       183:{2,3,6}:{(164,1),(165,1),(168,1),(193,1),(197,1)}
       184:{3,4,6}:{(165,1),(166,1),(169,1),(194,1),(197,1),(198,1),(208,1)}
       185:{1,4,5}:{(166,1),(167,1),(172,1),(198,1)}
       186:{2,4}:{(168,1),(169,1)}
       187:{4,5,7}:{(170,1),(171,1),(172,1),(199,1)}
       188:{3,5,6}:{(171,1),(176,1),(196,1),(199,1),(201,1),(208,1)}
       189:{1,4,7}:{(173,1),(174,1),(177,1),(200,1)}
       190:{3,5,7}:{(174,1),(175,1),(178,1),(200,1),(201,1)}
       191:{2,4,6}:{(175,1),(176,1),(199,1),(201,1)}
       192:{1,5}:{(177,1),(178,1)}
       193:{2,3,7}:{(179,1),(180,1),(183,1),(202,1)}
       194:{3,4,7}:{(180,1),(181,1),(184,1),(202,1),(203,1)}
       195:{1,4,5,7}:{(181,1),(182,1),(185,1),(187,1),(203,1),(204,1)}
       196:{1,5,6}:{(182,1),(188,1),(204,1),(206,1)}
       197:{2,4,6}:{(183,1),(184,1),(186,1),(202,1),(205,1),(209,1)}
       198:{3,5}:{(184,1),(185,1),(205,1)}
       199:{4,6}:{(187,1),(188,1)}
       200:{1,5,7}:{(189,1),(190,1),(192,1),(206,1)}
       201:{3,6}:{(190,1),(191,1),(206,1)}
       202:{2,4,7}:{(193,1),(194,1),(197,1),(207,1)}
       203:{3,5,7}:{(194,1),(195,1),(198,1),(207,1),(208,1)}
       204:{1,4,6}:{(195,1),(196,1),(199,1),(208,1)}
       205:{2,5}:{(197,1),(198,1)}
       206:{1,6}:{(200,1),(201,1)}
       207:{2,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       208:{3,6}:{(203,1),(204,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

1003 :   0:{1,3,4,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1),(51,1),(55,1),(83,1),(90,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(69,1),(100,1),(104,1)}
         2:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(37,1),(71,1),(101,1)}
         3:{2,3,6,7}:{(1,1),(8,1),(29,1),(113,1),(117,1)}
         4:{1,2,5,7}:{(1,1),(2,1),(8,1),(9,1),(53,1),(114,1)}
         5:{1,3,5,6}:{(2,1),(9,1),(11,1),(29,1),(32,1)}
         6:{1,4,5,7}:{(2,1),(11,1),(12,1),(83,1),(86,1)}
         7:{1,3,5,6,7}:{(5,1),(13,1),(14,1),(36,1),(37,1),(67,1),(120,1)}
         8:{2,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(18,1),(125,1)}
         9:{1,2,5,6}:{(4,1),(5,1),(15,1),(17,1),(47,1),(71,1)}
        10:{1,2,4,5,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(21,1),(39,1),(41,1),(46,1),(71,1),(100,1),(102,1)}
        11:{1,4,6}:{(5,1),(6,1),(20,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(66,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(9,1),(22,1),(23,1),(53,1),(80,1),(85,1),(108,1)}
        14:{1,4,6,7}:{(7,1),(11,1),(24,1),(25,1),(83,1),(129,1)}
        15:{2,3,5,6}:{(8,1),(9,1),(26,1),(29,1),(54,1)}
        16:{2,4,7}:{(8,1),(26,1),(27,1),(132,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(11,1),(26,1),(29,1),(33,1),(55,1),(61,1)}
        18:{3,5,7}:{(10,1),(27,1),(29,1),(54,1),(113,1),(115,1)}
        19:{1,4,5,6}:{(11,1),(24,1),(32,1)}
        20:{3,4,6}:{(11,1),(12,1),(29,1),(32,1),(33,1)}
        21:{2,4,5,7}:{(12,1),(31,1),(33,1),(53,1),(84,1),(87,1)}
        22:{2,3,5,6,7}:{(13,1),(15,1),(34,1),(36,1),(63,1),(68,1),(94,1)}
        23:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(38,1),(64,1),(69,1),(100,1),(119,1)}
        24:{1,4,5,7}:{(14,1),(19,1),(37,1),(135,1)}
        25:{3,4,6,7}:{(14,1),(20,1),(36,1),(37,1),(38,1),(66,1),(134,1)}
        26:{2,4,6}:{(15,1),(16,1),(39,1),(40,1)}
        27:{3,4,7}:{(16,1),(18,1),(40,1),(41,1),(126,1)}
        28:{1,2,4,5,6}:{(17,1),(19,1),(35,1),(39,1),(43,1),(47,1),(62,1),(71,1),(75,1),(76,1),(77,1),(93,1),(102,1),(119,1),(135,1),(139,1)}
        29:{3,6}:{(17,1),(18,1)}
        30:{1,3,5,7}:{(18,1),(41,1),(44,1),(46,1),(71,1),(74,1),(103,1)}
        31:{2,3,5,7}:{(18,1),(21,1),(42,1),(45,1),(46,1),(72,1)}
        32:{3,5,6}:{(19,1),(20,1),(37,1),(47,1)}
        33:{2,4,6}:{(20,1),(21,1),(45,1),(47,1)}
        34:{2,4,6,7}:{(22,1),(26,1),(48,1),(49,1),(84,1),(107,1)}
        35:{1,2,4,5,7}:{(23,1),(24,1),(28,1),(48,1),(50,1),(53,1),(80,1),(83,1),(84,1),(85,1)}
        36:{3,6,7}:{(23,1),(29,1),(50,1),(113,1),(128,1)}
        37:{3,5,7}:{(24,1),(25,1),(32,1),(53,1),(138,1)}
        38:{2,4,6,7}:{(25,1),(33,1),(52,1),(53,1),(84,1),(137,1)}
        39:{2,4,5}:{(26,1),(54,1)}
        40:{3,4,6}:{(26,1),(27,1),(29,1),(54,1),(55,1)}
        41:{1,4,7}:{(27,1),(30,1),(55,1),(116,1)}
        42:{2,3,4,7}:{(27,1),(31,1),(56,1),(57,1),(84,1),(113,1)}
        43:{3,5,6}:{(28,1),(29,1),(50,1),(54,1),(58,1),(115,1),(128,1),(138,1)}
        44:{1,3,6}:{(29,1),(30,1),(55,1),(61,1)}
        45:{2,3,6}:{(29,1),(31,1),(33,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(57,1),(61,1),(88,1)}
        47:{2,5,6}:{(32,1),(33,1),(53,1)}
        48:{2,4,5,7}:{(34,1),(39,1),(62,1),(63,1)}
        49:{3,4,6,7}:{(34,1),(36,1),(40,1),(63,1),(64,1),(66,1),(92,1)}
        50:{3,5,7}:{(35,1),(36,1),(43,1),(66,1)}
        51:{1,3,6,7}:{(36,1),(44,1),(64,1),(67,1),(69,1),(118,1)}
        52:{2,3,6,7}:{(36,1),(38,1),(45,1),(68,1),(69,1),(133,1)}
        53:{2,5,7}:{(37,1),(38,1),(47,1),(139,1)}
        54:{3,5}:{(39,1),(40,1),(71,1)}
        55:{1,4,6}:{(40,1),(41,1),(44,1),(71,1)}
        56:{2,3,4,6}:{(40,1),(42,1),(45,1),(72,1),(73,1),(76,1),(105,1),(126,1)}
        57:{1,2,4,7}:{(41,1),(42,1),(46,1),(73,1),(74,1)}
        58:{3,4,6}:{(43,1),(66,1),(70,1),(75,1),(76,1),(105,1),(126,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(67,1),(71,1),(75,1),(77,1),(93,1),(101,1),(103,1),(105,1),(118,1)}
        60:{2,3,5,6}:{(43,1),(45,1),(47,1),(68,1),(72,1),(76,1),(77,1),(105,1),(125,1),(133,1),(139,1)}
        61:{1,2,6}:{(44,1),(45,1),(46,1)}
        62:{2,4,5,6}:{(48,1),(78,1),(107,1)}
        63:{3,5,7}:{(48,1),(49,1),(54,1),(78,1),(80,1)}
        64:{1,4,6,7}:{(49,1),(51,1),(55,1),(80,1),(83,1),(106,1)}
        65:{2,3,4,6,7}:{(49,1),(52,1),(56,1),(81,1),(82,1),(84,1),(107,1),(113,1),(128,1),(131,1),(137,1)}
        66:{3,4,7}:{(50,1),(58,1),(83,1),(84,1),(113,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(59,1),(80,1),(83,1),(85,1),(113,1)}
        68:{2,3,5,7}:{(50,1),(52,1),(53,1),(60,1),(84,1),(85,1),(113,1)}
        69:{1,2,6,7}:{(51,1),(52,1),(61,1),(85,1),(127,1)}
        70:{3,4,5}:{(54,1),(58,1),(86,1),(87,1),(115,1),(138,1)}
        71:{1,5}:{(54,1),(55,1)}
        72:{2,3,5}:{(54,1),(56,1),(87,1),(88,1),(115,1)}
        73:{1,2,4,6}:{(55,1),(56,1),(57,1),(61,1),(88,1),(89,1),(116,1)}
        74:{1,3,7}:{(57,1),(89,1),(113,1)}
        75:{1,4,6}:{(58,1),(59,1),(83,1),(86,1),(116,1)}
        76:{2,4,6}:{(58,1),(60,1),(84,1),(87,1),(132,1)}
        77:{1,2,5,6}:{(59,1),(60,1),(61,1),(85,1),(88,1),(91,1),(114,1),(127,1)}
        78:{3,5,6}:{(62,1),(63,1),(92,1),(93,1)}
        79:{3,4,5,7}:{(63,1),(66,1),(70,1),(92,1),(95,1),(96,1),(122,1)}
        80:{1,5,7}:{(63,1),(64,1),(71,1),(93,1)}
        81:{2,3,5,7}:{(63,1),(65,1),(72,1),(94,1),(96,1),(97,1),(122,1),(139,1)}
        82:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(73,1),(97,1),(98,1),(100,1),(119,1),(123,1)}
        83:{1,4,7}:{(66,1),(67,1),(75,1)}
        84:{2,4,7}:{(66,1),(68,1),(76,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(77,1),(100,1)}
        86:{1,4,5}:{(70,1),(71,1),(75,1),(101,1)}
        87:{2,4,5}:{(70,1),(72,1),(76,1),(139,1)}
        88:{1,2,5}:{(71,1),(72,1),(73,1),(103,1)}
        89:{1,3,6}:{(73,1),(74,1),(103,1),(105,1)}
        90:{1,3,4,6}:{(75,1),(99,1),(101,1),(104,1),(105,1),(118,1),(126,1),(134,1)}
        91:{1,2,4,6}:{(75,1),(76,1),(77,1),(100,1),(102,1),(105,1)}
        92:{3,4,6}:{(78,1),(79,1),(106,1),(107,1),(128,1)}
        93:{1,5,6}:{(78,1),(80,1),(106,1)}
        94:{2,3,5,6}:{(78,1),(81,1),(107,1),(108,1),(128,1)}
        95:{1,4,5,7}:{(79,1),(80,1),(83,1),(86,1),(106,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(81,1),(84,1),(87,1),(107,1)}
        97:{1,2,5,7}:{(80,1),(81,1),(82,1),(88,1),(108,1),(111,1)}
        98:{1,3,6,7}:{(82,1),(89,1),(111,1),(113,1),(128,1)}
        99:{1,3,4,7}:{(83,1),(90,1),(109,1),(112,1),(113,1),(131,1)}
       100:{1,2,4,7}:{(83,1),(84,1),(85,1),(91,1),(113,1)}
       101:{1,3,5}:{(86,1),(90,1),(114,1),(115,1),(138,1)}
       102:{1,2,4,5}:{(86,1),(87,1),(88,1),(91,1),(114,1),(115,1),(116,1),(132,1)}
       103:{1,3,5}:{(88,1),(89,1),(115,1),(116,1)}
       104:{1,2,4,6}:{(90,1),(112,1),(114,1),(117,1),(127,1),(132,1),(137,1)}
       105:{3,6}:{(91,1),(113,1),(115,1)}
       106:{1,4,6}:{(92,1),(93,1),(95,1),(118,1)}
       107:{2,4,6}:{(92,1),(94,1),(96,1)}
       108:{1,2,5,6}:{(93,1),(94,1),(97,1),(119,1),(120,1),(139,1)}
       109:{1,3,5,7}:{(95,1),(99,1),(101,1),(118,1),(121,1),(122,1)}
       110:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(100,1),(102,1),(119,1),(121,1),(122,1),(123,1),(135,1),(136,1),(139,1)}
       111:{1,3,5,7}:{(97,1),(98,1),(103,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,7}:{(99,1),(104,1),(121,1),(124,1),(136,1)}
       113:{3,7}:{(100,1),(105,1)}
       114:{1,2,5}:{(101,1),(104,1),(125,1),(139,1)}
       115:{3,5}:{(102,1),(105,1),(126,1)}
       116:{1,4}:{(103,1),(126,1)}
       117:{2,3,6}:{(104,1),(105,1),(124,1),(125,1)}
       118:{1,3,6}:{(106,1),(109,1),(127,1),(128,1)}
       119:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(127,1),(128,1),(129,1),(137,1)}
       120:{1,3,5,6}:{(108,1),(111,1),(128,1),(129,1),(138,1)}
       121:{1,2,5,7}:{(109,1),(112,1),(114,1),(127,1),(130,1)}
       122:{3,5,7}:{(110,1),(113,1),(115,1),(128,1),(131,1),(138,1)}
       123:{1,4,7}:{(111,1),(116,1),(129,1),(131,1)}
       124:{2,3,7}:{(112,1),(113,1),(117,1)}
       125:{2,3,5}:{(114,1),(115,1),(117,1),(132,1)}
       126:{3,4}:{(115,1),(116,1),(132,1)}
       127:{1,2,6}:{(118,1),(121,1),(133,1)}
       128:{3,6}:{(119,1),(122,1)}
       129:{1,4,6}:{(120,1),(123,1),(134,1),(135,1)}
       130:{2,3,5,7}:{(121,1),(122,1),(124,1),(125,1),(133,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(126,1),(134,1),(136,1)}
       132:{2,4}:{(125,1),(126,1)}
       133:{2,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{3,4,6}:{(128,1),(129,1),(131,1),(137,1),(138,1)}
       135:{1,4,5}:{(129,1),(138,1)}
       136:{2,4,7}:{(130,1),(131,1),(132,1),(137,1)}
       137:{2,4,6}:{(133,1),(134,1),(136,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1004 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(61,1),(114,1)}
         1:{1,3,4,6}:{(3,1),(5,1),(6,1),(17,1),(24,1),(27,1),(61,1),(63,1)}
         2:{1,2,3,5}:{(0,1),(8,1),(10,1),(32,1),(35,1),(84,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(10,1),(11,1),(41,1)}
         4:{1,2,3,7}:{(0,1),(11,1),(93,1),(142,1),(221,1)}
         5:{1,3,5}:{(1,1),(10,1),(12,1),(35,1),(95,1)}
         6:{1,3,4,7}:{(1,1),(11,1),(14,1),(36,1),(45,1),(93,1),(188,1)}
         7:{2,3,4,6}:{(3,1),(15,1),(16,1),(17,1),(51,1),(54,1),(61,1),(63,1)}
         8:{1,2,4}:{(2,1),(17,1)}
         9:{1,2,3,5,7}:{(2,1),(4,1),(19,1),(20,1),(22,1),(56,1),(62,1),(66,1),(115,1),(117,1)}
        10:{1,2,5}:{(3,1),(5,1),(15,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(6,1),(16,1),(22,1),(207,1)}
        12:{1,4,5}:{(5,1),(23,1),(24,1),(126,1)}
        13:{1,3,5,6}:{(5,1),(21,1),(24,1),(26,1),(27,1),(48,1),(61,1),(73,1),(125,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(22,1),(25,1),(27,1),(62,1),(205,1),(226,1)}
        15:{2,3,5}:{(7,1),(10,1),(29,1),(35,1),(95,1)}
        16:{2,3,4,7}:{(7,1),(11,1),(31,1),(36,1),(81,1),(93,1),(189,1)}
        17:{3,4}:{(8,1),(35,1)}
        18:{1,2,4,5}:{(8,1),(10,1),(12,1),(29,1),(35,1),(37,1),(42,1),(78,1),(84,1)}
        19:{1,2,4,7}:{(8,1),(9,1),(36,1),(39,1),(145,1)}
        20:{1,2,3,6}:{(9,1),(39,1),(41,1),(94,1),(143,1)}
        21:{1,2,5,6}:{(10,1),(13,1),(30,1),(37,1),(40,1),(41,1),(74,1),(134,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(14,1),(31,1),(41,1),(220,1),(230,1)}
        23:{3,4,5}:{(12,1),(35,1),(42,1),(43,1)}
        24:{1,4,6}:{(12,1),(13,1),(43,1),(45,1),(153,1)}
        25:{1,4,5,7}:{(12,1),(14,1),(44,1),(45,1),(46,1),(102,1),(192,1),(222,1)}
        26:{1,3,5,7}:{(13,1),(40,1),(45,1),(47,1),(75,1),(93,1),(102,1),(152,1)}
        27:{1,3,6}:{(14,1),(41,1),(46,1),(94,1)}
        28:{1,4,5,6}:{(24,1),(48,1),(49,1),(73,1),(131,1)}
        29:{2,4,5}:{(15,1),(50,1),(51,1),(126,1)}
        30:{2,3,5,6}:{(15,1),(21,1),(51,1),(53,1),(54,1),(61,1),(106,1),(113,1),(125,1)}
        31:{2,3,5,7}:{(15,1),(16,1),(22,1),(52,1),(54,1),(62,1),(206,1),(227,1)}
        32:{1,2,3}:{(55,1)}
        33:{2,3,4}:{(17,1),(55,1),(57,1)}
        34:{1,3,4}:{(17,1),(55,1),(59,1)}
        35:{3,5}:{(17,1),(18,1),(61,1)}
        36:{3,4,7}:{(17,1),(19,1),(62,1),(63,1),(169,1),(176,1)}
        37:{1,2,4,6}:{(18,1),(21,1),(24,1),(51,1),(61,1),(64,1),(68,1),(108,1),(114,1)}
        38:{1,2,4,5,7}:{(18,1),(19,1),(22,1),(25,1),(52,1),(62,1),(64,1),(65,1),(66,1),(69,1),(109,1),(115,1),(126,1),(127,1),(168,1),(176,1),(203,1)}
        39:{1,2,4,6}:{(19,1),(20,1),(63,1),(66,1)}
        40:{1,2,5,7}:{(21,1),(26,1),(53,1),(64,1),(67,1),(103,1),(159,1)}
        41:{1,2,6}:{(22,1),(27,1),(54,1)}
        42:{2,4,5}:{(23,1),(57,1),(68,1)}
        43:{3,4,6}:{(23,1),(24,1),(48,1),(61,1),(68,1),(70,1)}
        44:{3,4,5,7}:{(23,1),(25,1),(62,1),(69,1),(70,1),(71,1),(126,1),(130,1),(172,1),(176,1),(208,1)}
        45:{1,4,7}:{(24,1),(26,1),(70,1),(176,1)}
        46:{1,4,6}:{(25,1),(27,1),(71,1),(73,1)}
        47:{1,3,6,7}:{(26,1),(27,1),(67,1),(72,1),(104,1),(124,1),(226,1)}
        48:{3,5,6}:{(28,1),(43,1),(74,1),(75,1)}
        49:{1,4,5,7}:{(28,1),(45,1),(75,1),(76,1),(102,1),(156,1)}
        50:{3,4,5}:{(29,1),(35,1),(78,1),(79,1)}
        51:{2,4,6}:{(29,1),(30,1),(79,1),(81,1),(153,1)}
        52:{2,4,5,7}:{(29,1),(31,1),(80,1),(81,1),(82,1),(141,1),(195,1),(223,1)}
        53:{2,3,5,7}:{(30,1),(40,1),(81,1),(83,1),(93,1),(135,1),(141,1),(152,1)}
        54:{2,3,6}:{(31,1),(41,1),(82,1),(94,1)}
        55:{1,2,4}:{(32,1),(33,1),(34,1),(84,1)}
        56:{1,2,3,7}:{(32,1),(85,1),(86,1),(217,1),(230,1)}
        57:{2,3,5}:{(33,1),(35,1),(42,1),(84,1),(87,1)}
        58:{2,3,4,7}:{(33,1),(36,1),(85,1),(88,1),(89,1),(190,1),(217,1)}
        59:{1,3,5}:{(34,1),(35,1),(78,1),(84,1),(90,1)}
        60:{1,3,4,7}:{(34,1),(36,1),(85,1),(91,1),(92,1),(193,1),(217,1)}
        61:{3,6}:{(35,1),(37,1),(93,1)}
        62:{3,5,7}:{(35,1),(36,1),(38,1),(93,1),(94,1),(95,1),(187,1),(217,1)}
        63:{3,4,6}:{(36,1),(39,1),(94,1),(95,1),(153,1)}
        64:{1,2,4,7}:{(37,1),(40,1),(45,1),(81,1),(93,1),(98,1),(137,1),(142,1)}
        65:{1,2,4,6}:{(38,1),(41,1),(46,1),(82,1),(94,1),(97,1),(99,1),(138,1),(143,1),(153,1)}
        66:{1,2,5}:{(39,1),(95,1)}
        67:{1,2,6,7}:{(40,1),(41,1),(47,1),(83,1),(132,1),(180,1),(230,1)}
        68:{2,4,6}:{(42,1),(43,1),(74,1),(87,1),(98,1)}
        69:{2,4,5,7}:{(42,1),(44,1),(88,1),(98,1),(99,1),(148,1),(154,1),(190,1)}
        70:{3,4,7}:{(43,1),(45,1),(75,1),(93,1),(98,1)}
        71:{3,4,6}:{(44,1),(46,1),(94,1),(99,1),(101,1),(153,1)}
        72:{1,4,6,7}:{(45,1),(46,1),(47,1),(100,1),(102,1),(213,1),(222,1)}
        73:{1,5,6}:{(46,1),(101,1),(102,1)}
        74:{2,5,6}:{(48,1),(68,1),(103,1)}
        75:{3,5,7}:{(48,1),(49,1),(70,1),(103,1),(104,1)}
        76:{1,4,6,7}:{(49,1),(104,1),(105,1),(158,1)}
        77:{2,4,5,6}:{(51,1),(106,1),(107,1),(113,1),(165,1)}
        78:{1,4,5}:{(50,1),(59,1),(108,1)}
        79:{3,4,6}:{(50,1),(51,1),(61,1),(106,1),(108,1),(110,1)}
        80:{3,4,5,7}:{(50,1),(52,1),(62,1),(109,1),(110,1),(111,1),(126,1),(164,1),(175,1),(176,1),(210,1)}
        81:{2,4,7}:{(51,1),(53,1),(110,1),(176,1)}
        82:{2,4,6}:{(52,1),(54,1),(111,1),(113,1)}
        83:{2,3,6,7}:{(53,1),(54,1),(67,1),(112,1),(124,1),(160,1),(227,1)}
        84:{1,2,5}:{(55,1),(57,1),(59,1),(114,1)}
        85:{1,2,4,7}:{(55,1),(56,1),(58,1),(60,1),(115,1),(116,1)}
        86:{1,2,3,6}:{(56,1),(116,1),(117,1),(204,1),(228,1)}
        87:{2,3,6}:{(57,1),(61,1),(68,1),(114,1),(118,1)}
        88:{2,3,5,7}:{(57,1),(58,1),(62,1),(69,1),(115,1),(118,1),(119,1),(120,1)}
        89:{2,3,4,6}:{(58,1),(63,1),(116,1),(119,1),(120,1),(169,1),(171,1),(204,1)}
        90:{1,3,6}:{(59,1),(61,1),(108,1),(114,1),(121,1)}
        91:{1,3,5,7}:{(59,1),(60,1),(62,1),(109,1),(115,1),(121,1),(122,1),(123,1)}
        92:{1,3,4,6}:{(60,1),(63,1),(116,1),(122,1),(123,1),(169,1),(174,1),(204,1)}
        93:{3,7}:{(61,1),(64,1)}
        94:{3,6}:{(62,1),(65,1)}
        95:{3,5}:{(63,1),(66,1),(126,1)}
        96:{1,2,4,6,7}:{(64,1),(65,1),(67,1),(72,1),(112,1),(124,1),(127,1),(128,1),(162,1),(166,1),(176,1),(203,1)}
        97:{1,2,5,6}:{(65,1),(66,1),(73,1),(113,1),(125,1),(127,1),(129,1),(163,1)}
        98:{2,4,7}:{(68,1),(70,1),(103,1),(118,1)}
        99:{2,4,6}:{(69,1),(71,1),(119,1),(129,1)}
       100:{3,4,6,7}:{(70,1),(71,1),(72,1),(104,1),(124,1),(128,1),(130,1),(158,1),(176,1),(198,1),(208,1)}
       101:{3,5,6}:{(71,1),(73,1),(129,1),(130,1),(131,1)}
       102:{1,5,7}:{(72,1),(73,1),(130,1)}
       103:{2,5,7}:{(74,1),(75,1),(98,1),(132,1)}
       104:{3,6,7}:{(75,1),(76,1),(132,1)}
       105:{1,5,6,7}:{(76,1),(102,1),(133,1),(213,1)}
       106:{3,5,6}:{(77,1),(79,1),(134,1),(135,1)}
       107:{2,4,5,7}:{(77,1),(81,1),(135,1),(136,1),(141,1),(184,1)}
       108:{1,4,6}:{(78,1),(79,1),(90,1),(134,1),(137,1)}
       109:{1,4,5,7}:{(78,1),(80,1),(91,1),(137,1),(138,1),(151,1),(182,1),(193,1)}
       110:{3,4,7}:{(79,1),(81,1),(93,1),(135,1),(137,1)}
       111:{3,4,6}:{(80,1),(82,1),(94,1),(138,1),(140,1),(153,1)}
       112:{2,4,6,7}:{(81,1),(82,1),(83,1),(139,1),(141,1),(223,1),(229,1)}
       113:{2,5,6}:{(82,1),(140,1),(141,1)}
       114:{1,2,6}:{(84,1),(87,1),(90,1),(142,1)}
       115:{1,2,5,7}:{(84,1),(85,1),(88,1),(91,1),(142,1),(143,1),(144,1)}
       116:{1,2,4,6}:{(85,1),(86,1),(89,1),(92,1),(143,1),(144,1),(145,1)}
       117:{1,2,3,5}:{(86,1),(144,1),(145,1),(187,1),(220,1),(221,1)}
       118:{2,3,7}:{(87,1),(93,1),(98,1),(142,1)}
       119:{2,3,6}:{(88,1),(94,1),(99,1),(143,1)}
       120:{2,3,5}:{(89,1),(95,1),(144,1),(148,1),(187,1)}
       121:{1,3,7}:{(90,1),(93,1),(137,1),(142,1)}
       122:{1,3,6}:{(91,1),(94,1),(138,1),(143,1)}
       123:{1,3,5}:{(92,1),(95,1),(144,1),(151,1),(187,1)}
       124:{3,6,7}:{(93,1),(94,1),(96,1),(152,1),(217,1)}
       125:{3,5,6}:{(94,1),(95,1),(97,1),(152,1),(153,1)}
       126:{4,5}:{(95,1),(153,1)}
       127:{1,2,5,7}:{(96,1),(97,1),(102,1),(141,1),(152,1),(154,1),(182,1)}
       128:{2,4,6,7}:{(98,1),(99,1),(100,1),(132,1),(146,1),(154,1),(190,1)}
       129:{2,5,6}:{(99,1),(101,1),(154,1)}
       130:{3,5,7}:{(100,1),(101,1),(102,1),(154,1),(156,1)}
       131:{4,5,6}:{(101,1),(153,1),(156,1)}
       132:{2,6,7}:{(103,1),(104,1)}
       133:{3,5,6,7}:{(104,1),(105,1),(130,1),(157,1),(158,1),(198,1)}
       134:{1,5,6}:{(106,1),(108,1),(159,1)}
       135:{3,5,7}:{(106,1),(107,1),(110,1),(159,1),(160,1)}
       136:{2,4,6,7}:{(107,1),(160,1),(161,1),(200,1)}
       137:{1,4,7}:{(108,1),(110,1),(121,1),(159,1)}
       138:{1,4,6}:{(109,1),(111,1),(122,1),(163,1)}
       139:{3,4,6,7}:{(110,1),(111,1),(112,1),(124,1),(160,1),(162,1),(164,1),(176,1),(200,1),(210,1),(224,1)}
       140:{3,5,6}:{(111,1),(113,1),(163,1),(164,1),(165,1)}
       141:{2,5,7}:{(112,1),(113,1),(164,1)}
       142:{1,2,7}:{(114,1),(118,1),(121,1)}
       143:{1,2,6}:{(115,1),(119,1),(122,1)}
       144:{1,2,5}:{(116,1),(120,1),(123,1)}
       145:{1,2,4}:{(117,1),(169,1)}
       146:{2,3,6,7}:{(118,1),(119,1),(124,1),(128,1),(166,1),(170,1),(198,1)}
       147:{2,3,5,6}:{(119,1),(120,1),(125,1),(129,1),(167,1),(170,1),(171,1),(178,1),(204,1)}
       148:{2,4,5}:{(120,1),(126,1),(171,1),(172,1)}
       149:{1,3,6,7}:{(121,1),(122,1),(124,1),(162,1),(166,1),(173,1),(224,1)}
       150:{1,3,5,6}:{(122,1),(123,1),(125,1),(163,1),(167,1),(173,1),(174,1),(202,1),(204,1)}
       151:{1,4,5}:{(123,1),(126,1),(174,1),(175,1)}
       152:{3,5,7}:{(124,1),(125,1),(127,1),(176,1)}
       153:{4,6}:{(125,1),(126,1),(176,1)}
       154:{2,5,7}:{(128,1),(129,1),(130,1)}
       155:{2,4,5,6}:{(129,1),(131,1),(171,1),(177,1),(178,1)}
       156:{4,5,7}:{(130,1),(131,1),(158,1),(176,1)}
       157:{2,5,6,7}:{(132,1),(133,1),(154,1),(179,1)}
       158:{4,6,7}:{(133,1),(156,1)}
       159:{1,5,7}:{(134,1),(135,1),(137,1),(180,1)}
       160:{3,6,7}:{(135,1),(136,1),(180,1)}
       161:{2,5,6,7}:{(136,1),(141,1),(181,1),(229,1)}
       162:{1,4,6,7}:{(137,1),(138,1),(139,1),(149,1),(180,1),(182,1),(193,1)}
       163:{1,5,6}:{(138,1),(140,1),(182,1)}
       164:{3,5,7}:{(139,1),(140,1),(141,1),(182,1),(184,1)}
       165:{4,5,6}:{(140,1),(153,1),(184,1)}
       166:{1,2,6,7}:{(142,1),(143,1),(146,1),(149,1),(185,1),(213,1),(229,1)}
       167:{1,2,5,6}:{(143,1),(144,1),(147,1),(150,1),(185,1),(186,1),(197,1),(216,1)}
       168:{1,2,4,5}:{(144,1),(145,1),(148,1),(151,1),(186,1),(187,1),(192,1),(195,1),(220,1)}
       169:{3,4}:{(145,1),(187,1)}
       170:{2,3,5,7}:{(146,1),(147,1),(152,1),(154,1),(185,1),(190,1),(196,1),(217,1)}
       171:{2,4,6}:{(147,1),(148,1),(153,1),(190,1),(191,1)}
       172:{3,4,5}:{(148,1),(187,1),(191,1),(192,1)}
       173:{1,3,5,7}:{(149,1),(150,1),(152,1),(182,1),(185,1),(193,1),(215,1),(217,1)}
       174:{1,4,6}:{(150,1),(151,1),(153,1),(193,1),(194,1)}
       175:{3,4,5}:{(151,1),(187,1),(194,1),(195,1)}
       176:{4,7}:{(152,1),(153,1)}
       177:{2,4,5,7}:{(154,1),(155,1),(156,1),(179,1),(190,1),(196,1)}
       178:{3,5,6}:{(155,1),(191,1),(196,1),(197,1)}
       179:{2,4,6,7}:{(157,1),(158,1),(177,1),(198,1)}
       180:{1,6,7}:{(159,1),(160,1)}
       181:{3,5,6,7}:{(160,1),(161,1),(164,1),(199,1),(200,1),(224,1)}
       182:{1,5,7}:{(162,1),(163,1),(164,1)}
       183:{1,4,5,6}:{(163,1),(165,1),(174,1),(201,1),(202,1)}
       184:{4,5,7}:{(164,1),(165,1),(176,1),(200,1)}
       185:{1,2,5,7}:{(166,1),(167,1),(170,1),(173,1),(203,1),(212,1),(225,1)}
       186:{1,2,4,6}:{(167,1),(168,1),(171,1),(174,1),(203,1),(204,1),(209,1),(211,1),(228,1)}
       187:{3,5}:{(168,1),(169,1),(204,1)}
       188:{1,3,4}:{(169,1),(205,1),(207,1)}
       189:{2,3,4}:{(169,1),(206,1),(207,1)}
       190:{2,4,7}:{(170,1),(171,1),(176,1),(208,1)}
       191:{3,4,6}:{(171,1),(172,1),(178,1),(204,1),(208,1),(209,1)}
       192:{1,4,5}:{(172,1),(205,1),(209,1)}
       193:{1,4,7}:{(173,1),(174,1),(176,1),(210,1)}
       194:{3,4,6}:{(174,1),(175,1),(202,1),(204,1),(210,1),(211,1)}
       195:{2,4,5}:{(175,1),(206,1),(211,1)}
       196:{3,5,7}:{(177,1),(178,1),(198,1),(208,1),(212,1)}
       197:{1,5,6}:{(178,1),(209,1),(212,1)}
       198:{3,6,7}:{(179,1),(196,1),(213,1)}
       199:{1,5,6,7}:{(180,1),(181,1),(182,1),(214,1)}
       200:{4,6,7}:{(181,1),(184,1)}
       201:{1,4,5,7}:{(182,1),(183,1),(184,1),(193,1),(214,1),(215,1)}
       202:{3,5,6}:{(183,1),(194,1),(215,1),(216,1)}
       203:{1,2,4,7}:{(185,1),(186,1),(190,1),(193,1),(217,1),(222,1),(223,1),(230,1)}
       204:{3,6}:{(186,1),(187,1),(217,1)}
       205:{1,3,5}:{(187,1),(188,1),(192,1),(218,1),(220,1)}
       206:{2,3,5}:{(187,1),(189,1),(195,1),(219,1),(220,1)}
       207:{1,2,4}:{(188,1),(189,1),(220,1),(221,1)}
       208:{3,4,7}:{(190,1),(191,1),(196,1),(217,1),(222,1)}
       209:{1,4,6}:{(191,1),(192,1),(197,1),(218,1),(222,1)}
       210:{3,4,7}:{(193,1),(194,1),(215,1),(217,1),(223,1)}
       211:{2,4,6}:{(194,1),(195,1),(216,1),(219,1),(223,1)}
       212:{1,5,7}:{(196,1),(197,1),(213,1),(222,1)}
       213:{1,6,7}:{(198,1),(212,1)}
       214:{1,4,6,7}:{(199,1),(200,1),(201,1),(224,1)}
       215:{3,5,7}:{(201,1),(202,1),(210,1),(224,1),(225,1)}
       216:{2,5,6}:{(202,1),(211,1),(225,1)}
       217:{3,7}:{(203,1),(204,1)}
       218:{1,3,6}:{(204,1),(205,1),(209,1),(226,1),(228,1)}
       219:{2,3,6}:{(204,1),(206,1),(211,1),(227,1),(228,1)}
       220:{1,2,5}:{(205,1),(206,1),(207,1),(228,1)}
       221:{1,2,3}:{(207,1)}
       222:{1,4,7}:{(208,1),(209,1),(212,1),(226,1)}
       223:{2,4,7}:{(210,1),(211,1),(225,1),(227,1)}
       224:{3,6,7}:{(214,1),(215,1),(229,1)}
       225:{2,5,7}:{(215,1),(216,1),(223,1),(229,1)}
       226:{1,3,7}:{(217,1),(218,1),(222,1),(230,1)}
       227:{2,3,7}:{(217,1),(219,1),(223,1),(230,1)}
       228:{1,2,6}:{(218,1),(219,1),(220,1),(230,1)}
       229:{2,6,7}:{(224,1),(225,1)}
       230:{1,2,7}:{(226,1),(227,1),(228,1)}

1005 :   0:{1,2,3,7}:{(4,1),(5,1),(158,1),(200,1),(210,1)}
         1:{1,3,4,7}:{(4,1),(6,1),(7,1),(25,1),(94,1),(138,1),(158,1)}
         2:{1,2,3,5,7}:{(0,1),(8,1),(10,1),(11,1),(16,1),(18,1),(41,1),(43,1),(46,1),(49,1)}
         3:{3,4,5,7}:{(12,1),(13,1),(14,1),(46,1),(54,1),(65,1),(106,1),(110,1),(129,1),(174,1),(178,1)}
         4:{1,2,4,7}:{(0,1),(1,1),(15,1),(16,1),(17,1),(173,1)}
         5:{1,2,3,6}:{(0,1),(17,1),(18,1),(125,1),(190,1)}
         6:{1,3,5,7}:{(1,1),(13,1),(16,1),(19,1),(20,1),(46,1),(171,1),(216,1)}
         7:{1,3,4,6}:{(1,1),(17,1),(19,1),(20,1),(47,1),(62,1),(64,1),(125,1)}
         8:{1,2,3,7}:{(21,1),(22,1),(162,1),(196,1),(226,1)}
         9:{2,3,4,7}:{(21,1),(23,1),(24,1),(25,1),(93,1),(140,1),(196,1)}
        10:{1,2,4,7}:{(2,1),(25,1),(27,1),(36,1),(70,1)}
        11:{1,2,3,6}:{(2,1),(27,1),(34,1),(68,1),(75,1)}
        12:{2,4,5,7}:{(3,1),(23,1),(28,1),(73,1),(79,1),(96,1),(140,1),(163,1)}
        13:{1,4,5,7}:{(3,1),(6,1),(29,1),(39,1),(81,1),(94,1),(142,1),(201,1)}
        14:{3,4,6}:{(3,1),(28,1),(29,1),(31,1),(75,1),(146,1)}
        15:{2,3,4,7}:{(4,1),(25,1),(32,1),(33,1),(139,1),(155,1),(158,1)}
        16:{1,2,5,7}:{(4,1),(6,1),(32,1),(34,1),(35,1),(199,1),(226,1)}
        17:{1,2,4,6}:{(4,1),(5,1),(7,1),(33,1),(34,1),(35,1),(36,1)}
        18:{1,2,3,5}:{(5,1),(35,1),(36,1),(91,1),(161,1),(162,1)}
        19:{1,3,6}:{(6,1),(29,1),(34,1),(75,1)}
        20:{1,3,5}:{(7,1),(35,1),(39,1),(76,1),(91,1)}
        21:{1,2,4,7}:{(8,1),(9,1),(40,1),(41,1),(42,1),(128,1)}
        22:{1,2,3,6}:{(8,1),(42,1),(43,1),(170,1),(218,1)}
        23:{2,3,5,7}:{(9,1),(12,1),(41,1),(44,1),(45,1),(46,1),(127,1),(189,1)}
        24:{2,3,4,6}:{(9,1),(42,1),(44,1),(45,1),(47,1),(103,1),(105,1),(170,1)}
        25:{3,4,7}:{(10,1),(46,1),(47,1),(62,1),(103,1),(178,1)}
        26:{1,2,4,5,7}:{(10,1),(12,1),(13,1),(16,1),(41,1),(46,1),(48,1),(49,1),(56,1),(61,1),(97,1),(102,1),(110,1),(111,1),(124,1),(169,1),(178,1)}
        27:{1,2,4,6}:{(10,1),(11,1),(47,1),(49,1)}
        28:{2,4,6}:{(12,1),(14,1),(44,1),(51,1)}
        29:{1,4,6}:{(13,1),(14,1),(19,1),(53,1)}
        30:{3,4,6,7}:{(14,1),(50,1),(52,1),(54,1),(108,1),(118,1),(129,1),(174,1),(178,1),(179,1),(181,1)}
        31:{3,5,6}:{(14,1),(51,1),(53,1),(54,1),(55,1)}
        32:{2,3,5,7}:{(15,1),(16,1),(46,1),(56,1),(57,1),(58,1),(172,1),(217,1)}
        33:{2,3,4,6}:{(15,1),(17,1),(47,1),(57,1),(58,1),(62,1),(122,1),(125,1)}
        34:{1,2,6}:{(16,1),(19,1),(57,1)}
        35:{1,2,5}:{(17,1),(20,1),(58,1)}
        36:{1,2,4}:{(18,1),(62,1)}
        37:{1,3,6,7}:{(19,1),(52,1),(59,1),(63,1),(108,1),(181,1),(216,1)}
        38:{1,3,5,6}:{(19,1),(20,1),(53,1),(60,1),(63,1),(64,1),(109,1),(117,1),(125,1)}
        39:{1,4,5}:{(20,1),(64,1),(65,1),(110,1)}
        40:{1,3,4,7}:{(21,1),(25,1),(66,1),(67,1),(92,1),(193,1),(196,1)}
        41:{1,2,5,7}:{(21,1),(23,1),(66,1),(68,1),(69,1),(161,1),(210,1)}
        42:{1,2,4,6}:{(21,1),(22,1),(24,1),(67,1),(68,1),(69,1),(70,1)}
        43:{1,2,3,5}:{(22,1),(69,1),(70,1),(137,1),(199,1),(200,1)}
        44:{2,3,6}:{(23,1),(28,1),(68,1),(75,1)}
        45:{2,3,5}:{(24,1),(69,1),(73,1),(76,1),(137,1)}
        46:{3,5,7}:{(25,1),(26,1),(75,1),(76,1),(91,1),(137,1),(158,1),(196,1)}
        47:{3,4,6}:{(25,1),(27,1),(75,1),(76,1),(146,1)}
        48:{1,2,4,6}:{(26,1),(28,1),(29,1),(34,1),(68,1),(75,1),(78,1),(85,1),(131,1),(146,1)}
        49:{1,2,5}:{(27,1),(76,1)}
        50:{2,4,6,7}:{(28,1),(30,1),(71,1),(79,1),(140,1),(163,1),(205,1)}
        51:{2,5,6}:{(28,1),(31,1),(79,1)}
        52:{1,4,6,7}:{(29,1),(30,1),(37,1),(81,1),(94,1),(201,1),(204,1)}
        53:{1,5,6}:{(29,1),(31,1),(81,1)}
        54:{3,5,7}:{(30,1),(31,1),(79,1),(81,1),(84,1)}
        55:{4,5,6}:{(31,1),(84,1),(146,1)}
        56:{2,4,5,7}:{(32,1),(74,1),(85,1),(88,1),(153,1),(155,1),(195,1),(225,1)}
        57:{2,3,6}:{(32,1),(34,1),(75,1),(85,1)}
        58:{2,3,5}:{(33,1),(35,1),(76,1),(88,1),(91,1)}
        59:{1,2,6,7}:{(34,1),(37,1),(86,1),(89,1),(205,1),(226,1),(227,1)}
        60:{1,2,5,6}:{(34,1),(35,1),(38,1),(87,1),(89,1),(90,1),(152,1),(208,1)}
        61:{1,2,4,5}:{(35,1),(36,1),(39,1),(88,1),(90,1),(91,1),(96,1),(157,1),(161,1)}
        62:{3,4}:{(36,1),(91,1)}
        63:{1,3,5,7}:{(37,1),(38,1),(81,1),(89,1),(94,1),(145,1),(151,1),(158,1)}
        64:{1,4,6}:{(38,1),(39,1),(94,1),(95,1),(146,1)}
        65:{3,4,5}:{(39,1),(91,1),(95,1),(96,1)}
        66:{1,3,5,7}:{(40,1),(41,1),(46,1),(97,1),(98,1),(99,1),(126,1),(188,1)}
        67:{1,3,4,6}:{(40,1),(42,1),(47,1),(98,1),(99,1),(103,1),(167,1),(170,1)}
        68:{1,2,6}:{(41,1),(44,1),(98,1)}
        69:{1,2,5}:{(42,1),(45,1),(99,1)}
        70:{1,2,4}:{(43,1),(103,1)}
        71:{2,3,6,7}:{(44,1),(50,1),(100,1),(104,1),(108,1),(179,1),(189,1)}
        72:{2,3,5,6}:{(44,1),(45,1),(51,1),(101,1),(104,1),(105,1),(109,1),(114,1),(170,1)}
        73:{2,4,5}:{(45,1),(105,1),(106,1),(110,1)}
        74:{3,4,5,7}:{(46,1),(56,1),(97,1),(107,1),(110,1),(123,1),(168,1),(176,1),(178,1),(186,1),(214,1)}
        75:{3,6}:{(46,1),(48,1)}
        76:{3,5}:{(47,1),(49,1),(110,1)}
        77:{1,2,4,6,7}:{(48,1),(50,1),(52,1),(59,1),(100,1),(108,1),(111,1),(119,1),(124,1),(164,1),(169,1),(178,1)}
        78:{1,2,5,6}:{(48,1),(49,1),(51,1),(53,1),(109,1),(111,1),(120,1),(165,1)}
        79:{2,5,7}:{(50,1),(51,1),(54,1)}
        80:{2,4,5,6}:{(51,1),(55,1),(105,1),(113,1),(114,1)}
        81:{1,5,7}:{(52,1),(53,1),(54,1)}
        82:{1,4,5,6}:{(53,1),(55,1),(64,1),(116,1),(117,1)}
        83:{3,5,6,7}:{(54,1),(112,1),(115,1),(118,1),(179,1),(181,1)}
        84:{4,5,7}:{(54,1),(55,1),(118,1),(178,1)}
        85:{2,4,6}:{(56,1),(57,1),(107,1),(120,1)}
        86:{2,3,6,7}:{(57,1),(59,1),(108,1),(119,1),(121,1),(217,1),(220,1)}
        87:{2,3,5,6}:{(57,1),(58,1),(60,1),(109,1),(120,1),(121,1),(122,1),(125,1),(185,1)}
        88:{2,4,5}:{(58,1),(110,1),(122,1),(123,1)}
        89:{1,2,5,7}:{(59,1),(60,1),(63,1),(121,1),(124,1),(182,1),(221,1)}
        90:{1,2,4,6}:{(60,1),(61,1),(64,1),(122,1),(124,1),(125,1),(130,1),(187,1),(190,1)}
        91:{3,5}:{(61,1),(62,1),(125,1)}
        92:{1,3,4}:{(62,1),(126,1),(128,1)}
        93:{2,3,4}:{(62,1),(127,1),(128,1)}
        94:{1,4,7}:{(63,1),(64,1),(129,1),(178,1)}
        95:{3,4,6}:{(64,1),(65,1),(117,1),(125,1),(129,1),(130,1)}
        96:{2,4,5}:{(65,1),(127,1),(130,1)}
        97:{1,4,5,7}:{(66,1),(74,1),(131,1),(134,1),(157,1),(191,1),(193,1),(209,1)}
        98:{1,3,6}:{(66,1),(68,1),(75,1),(131,1)}
        99:{1,3,5}:{(67,1),(69,1),(76,1),(134,1),(137,1)}
       100:{1,2,6,7}:{(68,1),(71,1),(132,1),(135,1),(204,1),(210,1),(230,1)}
       101:{1,2,5,6}:{(68,1),(69,1),(72,1),(133,1),(135,1),(136,1),(149,1),(224,1)}
       102:{1,2,4,5}:{(69,1),(70,1),(73,1),(134,1),(136,1),(137,1),(142,1),(195,1),(199,1)}
       103:{3,4}:{(70,1),(137,1)}
       104:{2,3,5,7}:{(71,1),(72,1),(79,1),(135,1),(140,1),(145,1),(148,1),(196,1)}
       105:{2,4,6}:{(72,1),(73,1),(140,1),(141,1),(146,1)}
       106:{3,4,5}:{(73,1),(137,1),(141,1),(142,1)}
       107:{3,4,6}:{(74,1),(75,1),(85,1),(131,1),(144,1),(146,1)}
       108:{3,6,7}:{(75,1),(77,1),(145,1),(158,1),(196,1)}
       109:{3,5,6}:{(75,1),(76,1),(78,1),(145,1),(146,1)}
       110:{4,5}:{(76,1),(146,1)}
       111:{1,2,5,7}:{(77,1),(78,1),(79,1),(81,1),(145,1),(153,1),(191,1)}
       112:{2,5,6,7}:{(79,1),(83,1),(147,1),(205,1)}
       113:{2,4,5,7}:{(79,1),(80,1),(84,1),(140,1),(147,1),(148,1)}
       114:{3,5,6}:{(80,1),(141,1),(148,1),(149,1)}
       115:{1,5,6,7}:{(81,1),(83,1),(150,1),(204,1)}
       116:{1,4,5,7}:{(81,1),(82,1),(84,1),(94,1),(150,1),(151,1)}
       117:{3,5,6}:{(82,1),(95,1),(151,1),(152,1)}
       118:{4,6,7}:{(83,1),(84,1)}
       119:{2,4,6,7}:{(85,1),(86,1),(143,1),(153,1),(155,1),(225,1),(230,1)}
       120:{2,5,6}:{(85,1),(144,1),(153,1)}
       121:{2,3,5,7}:{(86,1),(87,1),(89,1),(145,1),(153,1),(155,1),(158,1),(207,1)}
       122:{2,4,6}:{(87,1),(88,1),(146,1),(155,1),(156,1)}
       123:{3,4,5}:{(88,1),(91,1),(156,1),(157,1)}
       124:{1,2,4,7}:{(89,1),(90,1),(94,1),(155,1),(158,1),(163,1),(209,1),(210,1)}
       125:{3,6}:{(90,1),(91,1),(158,1)}
       126:{1,3,5}:{(91,1),(92,1),(157,1),(159,1),(161,1)}
       127:{2,3,5}:{(91,1),(93,1),(96,1),(160,1),(161,1)}
       128:{1,2,4}:{(92,1),(93,1),(161,1),(162,1)}
       129:{3,4,7}:{(94,1),(95,1),(151,1),(158,1),(163,1)}
       130:{2,4,6}:{(95,1),(96,1),(152,1),(160,1),(163,1)}
       131:{1,4,6}:{(97,1),(98,1),(107,1),(165,1)}
       132:{1,3,6,7}:{(98,1),(100,1),(108,1),(164,1),(166,1),(188,1),(228,1)}
       133:{1,3,5,6}:{(98,1),(99,1),(101,1),(109,1),(165,1),(166,1),(167,1),(170,1),(213,1)}
       134:{1,4,5}:{(99,1),(110,1),(167,1),(168,1)}
       135:{1,2,5,7}:{(100,1),(101,1),(104,1),(166,1),(169,1),(180,1),(229,1)}
       136:{1,2,4,6}:{(101,1),(102,1),(105,1),(167,1),(169,1),(170,1),(175,1),(215,1),(218,1)}
       137:{3,5}:{(102,1),(103,1),(170,1)}
       138:{1,3,4}:{(103,1),(171,1),(173,1)}
       139:{2,3,4}:{(103,1),(172,1),(173,1)}
       140:{2,4,7}:{(104,1),(105,1),(174,1),(178,1)}
       141:{3,4,6}:{(105,1),(106,1),(114,1),(170,1),(174,1),(175,1)}
       142:{1,4,5}:{(106,1),(171,1),(175,1)}
       143:{3,4,6,7}:{(107,1),(108,1),(119,1),(164,1),(176,1),(178,1),(186,1),(214,1),(219,1),(220,1),(228,1)}
       144:{3,5,6}:{(107,1),(120,1),(165,1),(176,1),(177,1)}
       145:{3,5,7}:{(108,1),(109,1),(111,1),(178,1)}
       146:{4,6}:{(109,1),(110,1),(178,1)}
       147:{2,4,6,7}:{(112,1),(113,1),(118,1),(179,1)}
       148:{3,5,7}:{(113,1),(114,1),(174,1),(179,1),(180,1)}
       149:{1,5,6}:{(114,1),(175,1),(180,1)}
       150:{1,4,6,7}:{(115,1),(116,1),(118,1),(181,1)}
       151:{3,5,7}:{(116,1),(117,1),(129,1),(181,1),(182,1)}
       152:{2,5,6}:{(117,1),(130,1),(182,1)}
       153:{2,5,7}:{(119,1),(120,1),(176,1)}
       154:{2,4,5,6}:{(120,1),(122,1),(177,1),(184,1),(185,1)}
       155:{2,4,7}:{(121,1),(122,1),(178,1),(186,1)}
       156:{3,4,6}:{(122,1),(123,1),(125,1),(185,1),(186,1),(187,1)}
       157:{1,4,5}:{(123,1),(126,1),(187,1)}
       158:{3,7}:{(124,1),(125,1)}
       159:{1,3,6}:{(125,1),(126,1),(187,1),(188,1),(190,1)}
       160:{2,3,6}:{(125,1),(127,1),(130,1),(189,1),(190,1)}
       161:{1,2,5}:{(126,1),(127,1),(128,1),(190,1)}
       162:{1,2,3}:{(128,1)}
       163:{2,4,7}:{(129,1),(130,1),(182,1),(189,1)}
       164:{1,4,6,7}:{(131,1),(132,1),(143,1),(191,1),(193,1),(209,1),(227,1)}
       165:{1,5,6}:{(131,1),(144,1),(191,1)}
       166:{1,3,5,7}:{(132,1),(133,1),(135,1),(145,1),(191,1),(193,1),(196,1),(223,1)}
       167:{1,4,6}:{(133,1),(134,1),(146,1),(193,1),(194,1)}
       168:{3,4,5}:{(134,1),(137,1),(194,1),(195,1)}
       169:{1,2,4,7}:{(135,1),(136,1),(140,1),(193,1),(196,1),(201,1),(225,1),(226,1)}
       170:{3,6}:{(136,1),(137,1),(196,1)}
       171:{1,3,5}:{(137,1),(138,1),(142,1),(197,1),(199,1)}
       172:{2,3,5}:{(137,1),(139,1),(195,1),(198,1),(199,1)}
       173:{1,2,4}:{(138,1),(139,1),(199,1),(200,1)}
       174:{3,4,7}:{(140,1),(141,1),(148,1),(196,1),(201,1)}
       175:{1,4,6}:{(141,1),(142,1),(149,1),(197,1),(201,1)}
       176:{3,5,7}:{(143,1),(144,1),(153,1),(191,1),(203,1)}
       177:{4,5,6}:{(144,1),(146,1),(203,1)}
       178:{4,7}:{(145,1),(146,1)}
       179:{3,6,7}:{(147,1),(148,1),(204,1)}
       180:{1,5,7}:{(148,1),(149,1),(201,1),(204,1)}
       181:{3,6,7}:{(150,1),(151,1),(205,1)}
       182:{2,5,7}:{(151,1),(152,1),(163,1),(205,1)}
       183:{2,5,6,7}:{(153,1),(202,1),(206,1),(230,1)}
       184:{2,4,5,7}:{(153,1),(154,1),(155,1),(203,1),(206,1),(207,1)}
       185:{3,5,6}:{(154,1),(156,1),(207,1),(208,1)}
       186:{3,4,7}:{(155,1),(156,1),(158,1),(207,1),(209,1)}
       187:{1,4,6}:{(156,1),(157,1),(159,1),(208,1),(209,1)}
       188:{1,3,7}:{(158,1),(159,1),(209,1),(210,1)}
       189:{2,3,7}:{(158,1),(160,1),(163,1),(210,1)}
       190:{1,2,6}:{(159,1),(160,1),(161,1),(210,1)}
       191:{1,5,7}:{(164,1),(165,1),(176,1)}
       192:{1,4,5,6}:{(165,1),(167,1),(177,1),(212,1),(213,1)}
       193:{1,4,7}:{(166,1),(167,1),(178,1),(214,1)}
       194:{3,4,6}:{(167,1),(168,1),(170,1),(213,1),(214,1),(215,1)}
       195:{2,4,5}:{(168,1),(172,1),(215,1)}
       196:{3,7}:{(169,1),(170,1)}
       197:{1,3,6}:{(170,1),(171,1),(175,1),(216,1),(218,1)}
       198:{2,3,6}:{(170,1),(172,1),(215,1),(217,1),(218,1)}
       199:{1,2,5}:{(171,1),(172,1),(173,1),(218,1)}
       200:{1,2,3}:{(173,1)}
       201:{1,4,7}:{(174,1),(175,1),(180,1),(216,1)}
       202:{3,5,6,7}:{(176,1),(183,1),(211,1),(219,1),(220,1),(228,1)}
       203:{4,5,7}:{(176,1),(177,1),(178,1),(219,1)}
       204:{1,6,7}:{(179,1),(180,1)}
       205:{2,6,7}:{(181,1),(182,1)}
       206:{2,4,6,7}:{(183,1),(184,1),(219,1),(220,1)}
       207:{3,5,7}:{(184,1),(185,1),(186,1),(220,1),(221,1)}
       208:{1,5,6}:{(185,1),(187,1),(221,1)}
       209:{1,4,7}:{(186,1),(187,1),(188,1),(221,1)}
       210:{1,2,7}:{(188,1),(189,1),(190,1)}
       211:{1,5,6,7}:{(191,1),(202,1),(222,1),(227,1)}
       212:{1,4,5,7}:{(191,1),(192,1),(193,1),(203,1),(222,1),(223,1)}
       213:{3,5,6}:{(192,1),(194,1),(223,1),(224,1)}
       214:{3,4,7}:{(193,1),(194,1),(196,1),(223,1),(225,1)}
       215:{2,4,6}:{(194,1),(195,1),(198,1),(224,1),(225,1)}
       216:{1,3,7}:{(196,1),(197,1),(201,1),(226,1)}
       217:{2,3,7}:{(196,1),(198,1),(225,1),(226,1)}
       218:{1,2,6}:{(197,1),(198,1),(199,1),(226,1)}
       219:{4,6,7}:{(202,1),(203,1)}
       220:{3,6,7}:{(206,1),(207,1),(227,1)}
       221:{1,5,7}:{(207,1),(208,1),(209,1),(227,1)}
       222:{1,4,6,7}:{(211,1),(212,1),(219,1),(228,1)}
       223:{3,5,7}:{(212,1),(213,1),(214,1),(228,1),(229,1)}
       224:{2,5,6}:{(213,1),(215,1),(229,1)}
       225:{2,4,7}:{(214,1),(215,1),(217,1),(229,1)}
       226:{1,2,7}:{(216,1),(217,1),(218,1)}
       227:{1,6,7}:{(220,1),(221,1)}
       228:{3,6,7}:{(222,1),(223,1),(230,1)}
       229:{2,5,7}:{(223,1),(224,1),(225,1),(230,1)}
       230:{2,6,7}:{(228,1),(229,1)}

1006 :   0:{1,2,3}:{(4,1)}
         1:{1,3,4}:{(4,1),(5,1),(18,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(8,1),(9,1),(14,1),(30,1),(33,1),(35,1)}
         3:{3,4,5}:{(10,1),(11,1),(12,1),(33,1),(66,1)}
         4:{1,2,4}:{(0,1),(1,1),(13,1),(14,1)}
         5:{1,3,5}:{(1,1),(11,1),(14,1),(15,1),(33,1)}
         6:{1,2,3}:{(16,1)}
         7:{2,3,4}:{(16,1),(17,1),(18,1)}
         8:{1,2,3,6}:{(2,1),(19,1),(20,1),(27,1),(47,1),(52,1)}
         9:{1,2,4}:{(2,1),(18,1)}
        10:{2,4,5}:{(3,1),(17,1),(22,1)}
        11:{1,4,5}:{(3,1),(5,1),(23,1)}
        12:{3,4,6}:{(3,1),(22,1),(23,1),(24,1),(25,1),(52,1),(82,1)}
        13:{2,3,4}:{(4,1),(18,1),(26,1)}
        14:{1,2,5}:{(4,1),(5,1),(26,1),(27,1)}
        15:{1,3,6}:{(5,1),(23,1),(27,1),(28,1),(52,1)}
        16:{1,2,4}:{(6,1),(7,1),(29,1),(30,1)}
        17:{2,3,5}:{(7,1),(10,1),(30,1),(31,1),(33,1)}
        18:{3,4}:{(9,1),(33,1)}
        19:{1,2,3,7}:{(8,1),(34,1),(45,1),(64,1),(69,1)}
        20:{1,2,4,6}:{(8,1),(9,1),(32,1),(34,1),(35,1),(70,1)}
        21:{1,2,4,5}:{(9,1),(10,1),(11,1),(14,1),(30,1),(33,1),(35,1),(36,1),(43,1),(62,1),(66,1)}
        22:{2,4,6}:{(10,1),(12,1),(31,1),(37,1),(38,1)}
        23:{1,4,6}:{(11,1),(12,1),(15,1),(39,1),(40,1)}
        24:{3,5,6}:{(12,1),(37,1),(39,1),(41,1),(42,1)}
        25:{3,4,7}:{(12,1),(38,1),(40,1),(42,1),(69,1),(93,1)}
        26:{2,3,5}:{(13,1),(14,1),(33,1),(43,1),(44,1)}
        27:{1,2,6}:{(14,1),(15,1),(44,1),(45,1)}
        28:{1,3,7}:{(15,1),(40,1),(45,1),(69,1)}
        29:{1,3,4}:{(16,1),(18,1),(46,1)}
        30:{1,2,5}:{(16,1),(17,1),(46,1),(47,1)}
        31:{2,3,6}:{(17,1),(22,1),(47,1),(48,1),(52,1)}
        32:{3,4,6}:{(18,1),(20,1),(50,1),(51,1),(52,1),(82,1),(83,1)}
        33:{3,5}:{(18,1),(21,1),(52,1)}
        34:{1,2,4,7}:{(19,1),(20,1),(50,1),(53,1)}
        35:{1,2,5}:{(20,1),(51,1)}
        36:{1,2,4,6}:{(21,1),(22,1),(23,1),(27,1),(47,1),(52,1),(54,1),(55,1),(60,1),(77,1),(82,1)}
        37:{2,5,6}:{(22,1),(24,1),(56,1)}
        38:{2,4,7}:{(22,1),(25,1),(48,1),(56,1)}
        39:{1,5,6}:{(23,1),(24,1),(57,1)}
        40:{1,4,7}:{(23,1),(25,1),(28,1),(57,1)}
        41:{4,5,6}:{(24,1),(58,1),(82,1),(99,1)}
        42:{3,5,7}:{(24,1),(25,1),(56,1),(57,1),(58,1),(59,1)}
        43:{2,4,5}:{(26,1),(49,1),(60,1)}
        44:{2,3,6}:{(26,1),(27,1),(52,1),(60,1),(61,1)}
        45:{1,2,7}:{(27,1),(28,1),(61,1)}
        46:{1,3,5}:{(29,1),(30,1),(33,1),(62,1),(63,1)}
        47:{1,2,6}:{(30,1),(31,1),(63,1),(64,1)}
        48:{2,3,7}:{(31,1),(38,1),(64,1),(69,1)}
        49:{3,4,5}:{(33,1),(43,1),(62,1),(65,1),(66,1)}
        50:{3,4,7}:{(32,1),(34,1),(67,1),(69,1),(93,1)}
        51:{3,5}:{(32,1),(35,1),(66,1)}
        52:{3,6}:{(33,1),(36,1),(69,1)}
        53:{1,2,5,7}:{(34,1),(35,1),(67,1),(70,1)}
        54:{1,2,5,6}:{(35,1),(36,1),(37,1),(39,1),(68,1),(70,1),(71,1),(75,1),(88,1)}
        55:{1,2,4,7}:{(36,1),(38,1),(40,1),(45,1),(64,1),(69,1),(71,1),(76,1),(89,1),(93,1)}
        56:{2,5,7}:{(37,1),(38,1),(42,1),(72,1)}
        57:{1,5,7}:{(39,1),(40,1),(42,1),(73,1)}
        58:{4,5,7}:{(41,1),(42,1),(74,1),(93,1),(103,1)}
        59:{3,6,7}:{(42,1),(72,1),(73,1),(74,1)}
        60:{2,4,6}:{(43,1),(44,1),(65,1),(75,1),(76,1)}
        61:{2,3,7}:{(44,1),(45,1),(69,1),(76,1)}
        62:{1,4,5}:{(46,1),(49,1),(77,1)}
        63:{1,3,6}:{(46,1),(47,1),(52,1),(77,1),(78,1)}
        64:{1,2,7}:{(47,1),(48,1),(78,1)}
        65:{3,4,6}:{(49,1),(52,1),(60,1),(77,1),(79,1),(80,1),(82,1)}
        66:{4,5}:{(51,1),(82,1)}
        67:{3,5,7}:{(50,1),(51,1),(53,1),(81,1),(83,1)}
        68:{3,5,6}:{(51,1),(52,1),(54,1),(82,1),(83,1),(84,1),(99,1)}
        69:{3,7}:{(52,1),(55,1)}
        70:{1,2,6}:{(53,1),(83,1)}
        71:{1,2,5,7}:{(54,1),(55,1),(56,1),(57,1),(84,1),(85,1),(87,1),(96,1)}
        72:{2,6,7}:{(56,1),(59,1)}
        73:{1,6,7}:{(57,1),(59,1)}
        74:{4,6,7}:{(58,1),(59,1),(86,1)}
        75:{2,5,6}:{(60,1),(79,1),(87,1)}
        76:{2,4,7}:{(60,1),(61,1),(80,1),(87,1)}
        77:{1,4,6}:{(62,1),(63,1),(65,1),(88,1),(89,1)}
        78:{1,3,7}:{(63,1),(64,1),(69,1),(89,1)}
        79:{3,5,6}:{(65,1),(75,1),(88,1),(90,1),(91,1)}
        80:{3,4,7}:{(65,1),(69,1),(76,1),(89,1),(91,1),(93,1)}
        81:{4,5,7}:{(66,1),(67,1),(92,1),(93,1),(103,1)}
        82:{4,6}:{(66,1),(68,1),(93,1)}
        83:{3,6}:{(67,1),(70,1),(92,1)}
        84:{3,5,7}:{(68,1),(69,1),(71,1),(93,1),(94,1),(103,1)}
        85:{1,2,6,7}:{(70,1),(71,1),(72,1),(73,1),(94,1),(95,1),(101,1)}
        86:{5,6,7}:{(74,1),(103,1)}
        87:{2,5,7}:{(75,1),(76,1),(91,1),(95,1)}
        88:{1,5,6}:{(77,1),(79,1),(96,1)}
        89:{1,4,7}:{(77,1),(78,1),(80,1),(96,1)}
        90:{4,5,6}:{(79,1),(82,1),(97,1),(99,1)}
        91:{3,5,7}:{(79,1),(80,1),(87,1),(96,1),(97,1),(98,1)}
        92:{4,6}:{(81,1),(83,1),(99,1)}
        93:{4,7}:{(82,1),(84,1)}
        94:{3,6,7}:{(83,1),(84,1),(85,1),(100,1)}
        95:{2,6,7}:{(87,1),(98,1)}
        96:{1,5,7}:{(88,1),(89,1),(91,1),(101,1)}
        97:{4,5,7}:{(90,1),(91,1),(93,1),(102,1),(103,1)}
        98:{3,6,7}:{(91,1),(95,1),(101,1),(102,1)}
        99:{5,6}:{(92,1),(103,1)}
       100:{4,6,7}:{(92,1),(93,1),(94,1),(103,1)}
       101:{1,6,7}:{(96,1),(98,1)}
       102:{4,6,7}:{(97,1),(98,1),(104,1)}
       103:{5,7}:{(99,1),(100,1)}
       104:{5,6,7}:{(102,1),(103,1)}

1007 :   0:{1,4,5,6}:{(3,1),(4,1),(24,1),(79,1),(81,1)}
         1:{1,3,4,6}:{(5,1),(6,1),(7,1),(24,1),(38,1),(71,1),(76,1),(114,1),(130,1)}
         2:{3,4,5}:{(9,1),(10,1),(11,1),(50,1)}
         3:{3,5,6}:{(0,1),(9,1),(14,1),(15,1)}
         4:{1,4,5,7}:{(0,1),(15,1),(16,1),(47,1),(102,1),(104,1)}
         5:{1,3,5}:{(1,1),(10,1),(17,1),(50,1),(137,1),(153,1)}
         6:{1,2,4,6}:{(1,1),(17,1),(19,1),(20,1),(60,1),(62,1),(113,1)}
         7:{1,3,4,7}:{(1,1),(18,1),(20,1),(47,1),(100,1),(105,1),(138,1),(186,1)}
         8:{2,3,4}:{(21,1),(22,1),(76,1)}
         9:{3,4,6}:{(2,1),(3,1),(24,1),(25,1),(26,1),(71,1)}
        10:{1,4,5}:{(2,1),(5,1),(24,1),(175,1)}
        11:{2,4,5}:{(2,1),(21,1),(25,1)}
        12:{3,4,5,7}:{(2,1),(26,1),(28,1),(29,1),(30,1),(75,1),(77,1),(124,1),(163,1),(173,1),(175,1)}
        13:{1,3,5,6}:{(3,1),(5,1),(24,1),(31,1),(32,1),(38,1),(71,1),(79,1),(131,1)}
        14:{2,5,6}:{(3,1),(25,1),(33,1)}
        15:{3,5,7}:{(3,1),(4,1),(26,1),(33,1),(34,1)}
        16:{1,4,6,7}:{(4,1),(34,1),(35,1),(86,1)}
        17:{1,2,5}:{(5,1),(6,1),(36,1),(136,1)}
        18:{1,3,5,7}:{(5,1),(7,1),(28,1),(37,1),(38,1),(77,1),(159,1),(169,1),(194,1)}
        19:{2,3,6}:{(6,1),(36,1),(39,1),(71,1)}
        20:{1,2,4,7}:{(6,1),(7,1),(37,1),(39,1),(87,1),(199,1)}
        21:{2,3,5}:{(8,1),(11,1),(40,1),(41,1),(50,1)}
        22:{1,2,4}:{(8,1),(41,1),(43,1),(92,1)}
        23:{2,3,4,7}:{(8,1),(42,1),(44,1),(45,1),(105,1),(141,1),(180,1),(203,1)}
        24:{1,4,6}:{(9,1),(10,1),(13,1),(47,1),(154,1)}
        25:{2,4,6}:{(9,1),(11,1),(14,1),(40,1),(48,1)}
        26:{3,4,7}:{(9,1),(15,1),(47,1),(48,1),(100,1)}
        27:{1,2,4,5}:{(10,1),(11,1),(17,1),(41,1),(46,1),(50,1),(60,1),(92,1),(109,1),(137,1)}
        28:{1,4,5,7}:{(10,1),(12,1),(18,1),(47,1),(52,1),(102,1),(148,1),(181,1)}
        29:{2,4,5,7}:{(11,1),(12,1),(42,1),(48,1),(53,1),(98,1),(103,1),(141,1)}
        30:{3,4,6}:{(12,1),(52,1),(53,1),(54,1),(106,1),(154,1)}
        31:{1,2,5,6}:{(13,1),(14,1),(17,1),(46,1),(55,1),(56,1),(62,1),(137,1),(177,1)}
        32:{1,3,5,7}:{(13,1),(15,1),(47,1),(56,1),(57,1),(100,1),(102,1),(151,1)}
        33:{2,5,7}:{(14,1),(15,1),(48,1),(58,1)}
        34:{3,6,7}:{(15,1),(16,1),(58,1)}
        35:{1,5,6,7}:{(16,1),(59,1),(102,1),(158,1)}
        36:{2,3,5}:{(17,1),(19,1),(50,1),(60,1)}
        37:{1,2,5,7}:{(17,1),(18,1),(20,1),(61,1),(62,1),(188,1),(204,1)}
        38:{1,3,6}:{(18,1),(52,1),(62,1),(106,1),(177,1)}
        39:{2,3,7}:{(19,1),(20,1),(100,1),(206,1)}
        40:{2,3,6}:{(21,1),(25,1),(63,1),(64,1),(71,1)}
        41:{1,2,5}:{(21,1),(22,1),(63,1),(65,1)}
        42:{2,3,5,7}:{(21,1),(23,1),(29,1),(64,1),(66,1),(67,1),(70,1),(77,1),(208,1)}
        43:{1,3}:{(22,1)}
        44:{1,2,4,7}:{(22,1),(23,1),(66,1),(68,1),(69,1),(118,1)}
        45:{2,3,4,6}:{(23,1),(67,1),(69,1),(70,1),(121,1),(130,1),(166,1),(168,1),(197,1)}
        46:{1,2,4,6}:{(24,1),(25,1),(27,1),(31,1),(63,1),(71,1),(72,1),(82,1),(114,1)}
        47:{1,4,7}:{(24,1),(26,1),(32,1),(173,1)}
        48:{2,4,7}:{(25,1),(26,1),(33,1),(64,1)}
        49:{3,4,6,7}:{(26,1),(30,1),(34,1),(73,1),(74,1),(75,1),(86,1),(127,1),(135,1),(163,1),(173,1)}
        50:{3,5}:{(27,1),(71,1),(76,1)}
        51:{1,2,4,5,7}:{(27,1),(28,1),(29,1),(37,1),(66,1),(72,1),(77,1),(78,1),(87,1),(118,1),(123,1),(128,1),(133,1),(136,1),(159,1),(162,1),(164,1),(173,1),(175,1),(192,1),(208,1)}
        52:{1,4,6}:{(28,1),(30,1),(38,1),(79,1)}
        53:{2,4,6}:{(29,1),(30,1),(67,1),(80,1)}
        54:{3,5,6}:{(30,1),(75,1),(79,1),(80,1),(81,1)}
        55:{2,3,5,6}:{(31,1),(36,1),(71,1),(82,1),(83,1),(88,1),(125,1),(131,1),(136,1),(171,1),(176,1)}
        56:{1,2,5,7}:{(31,1),(32,1),(33,1),(72,1),(83,1),(84,1),(159,1)}
        57:{1,3,6,7}:{(32,1),(34,1),(38,1),(73,1),(84,1),(127,1),(194,1)}
        58:{2,6,7}:{(33,1),(34,1)}
        59:{3,5,6,7}:{(34,1),(35,1),(75,1),(85,1),(86,1),(135,1)}
        60:{2,4}:{(36,1),(76,1)}
        61:{2,3,5,7}:{(36,1),(37,1),(39,1),(77,1),(87,1),(88,1),(136,1),(170,1),(195,1),(208,1)}
        62:{1,2,6}:{(37,1),(38,1),(88,1)}
        63:{1,2,6}:{(40,1),(41,1),(89,1),(90,1)}
        64:{2,3,7}:{(40,1),(48,1),(90,1),(100,1)}
        65:{1,3,5}:{(41,1),(43,1),(50,1),(89,1),(92,1),(137,1)}
        66:{1,2,5,7}:{(41,1),(42,1),(44,1),(90,1),(93,1),(94,1),(97,1)}
        67:{2,3,6}:{(42,1),(53,1),(94,1),(106,1),(209,1)}
        68:{1,3,7}:{(43,1),(44,1),(96,1),(180,1)}
        69:{1,2,4,6}:{(44,1),(45,1),(94,1),(96,1),(97,1),(142,1),(146,1)}
        70:{2,3,5}:{(45,1),(97,1),(98,1),(147,1),(153,1),(205,1)}
        71:{3,6}:{(46,1),(50,1),(100,1)}
        72:{1,2,4,7}:{(46,1),(47,1),(48,1),(56,1),(90,1),(100,1),(110,1),(138,1)}
        73:{1,4,6,7}:{(47,1),(49,1),(52,1),(57,1),(102,1),(158,1),(181,1)}
        74:{2,4,6,7}:{(48,1),(49,1),(53,1),(58,1),(91,1),(103,1),(141,1)}
        75:{3,5,7}:{(49,1),(54,1),(102,1),(103,1),(104,1)}
        76:{3,4}:{(50,1),(60,1),(92,1)}
        77:{3,5,7}:{(50,1),(51,1),(100,1),(105,1),(106,1),(147,1),(153,1),(180,1)}
        78:{1,2,4,6}:{(51,1),(52,1),(53,1),(62,1),(94,1),(106,1),(107,1),(113,1),(142,1),(154,1),(156,1),(177,1),(201,1),(209,1)}
        79:{1,5,6}:{(52,1),(54,1),(102,1)}
        80:{2,5,6}:{(53,1),(54,1),(103,1)}
        81:{4,5,6}:{(54,1),(104,1),(154,1)}
        82:{2,4,6}:{(55,1),(60,1),(99,1),(109,1),(110,1),(154,1)}
        83:{2,3,5,7}:{(55,1),(56,1),(100,1),(110,1),(111,1),(149,1),(151,1),(157,1)}
        84:{1,2,6,7}:{(56,1),(57,1),(58,1),(62,1),(111,1),(177,1),(204,1)}
        85:{2,5,6,7}:{(58,1),(59,1),(103,1),(112,1)}
        86:{4,6,7}:{(59,1),(104,1)}
        87:{2,4,7}:{(60,1),(61,1),(105,1),(113,1),(187,1)}
        88:{2,3,6}:{(61,1),(62,1),(106,1),(113,1),(209,1)}
        89:{1,3,6}:{(63,1),(65,1),(71,1),(114,1),(115,1)}
        90:{1,2,7}:{(63,1),(64,1),(115,1)}
        91:{2,3,6,7}:{(64,1),(67,1),(74,1),(116,1),(117,1),(127,1),(135,1)}
        92:{1,4}:{(65,1),(76,1)}
        93:{1,3,5,7}:{(65,1),(66,1),(68,1),(77,1),(115,1),(118,1),(119,1),(122,1),(159,1),(164,1)}
        94:{1,2,6}:{(66,1),(67,1),(119,1)}
        95:{2,3,5,6}:{(67,1),(70,1),(80,1),(117,1),(120,1),(121,1),(131,1),(132,1),(166,1)}
        96:{1,3,6}:{(68,1),(69,1),(122,1),(166,1)}
        97:{1,2,5}:{(69,1),(70,1),(122,1),(164,1)}
        98:{2,4,5}:{(70,1),(121,1),(124,1),(175,1)}
        99:{3,4,6}:{(71,1),(76,1),(82,1),(114,1),(125,1),(126,1),(171,1)}
       100:{3,7}:{(71,1),(72,1)}
       101:{1,2,4,6,7}:{(72,1),(73,1),(74,1),(78,1),(84,1),(116,1),(127,1),(128,1),(134,1),(160,1),(162,1),(173,1)}
       102:{1,5,7}:{(73,1),(75,1),(79,1)}
       103:{2,5,7}:{(74,1),(75,1),(80,1)}
       104:{4,5,7}:{(75,1),(81,1),(86,1),(173,1)}
       105:{3,4,7}:{(76,1),(77,1),(87,1),(118,1),(130,1),(168,1),(173,1)}
       106:{3,6}:{(77,1),(78,1)}
       107:{1,2,5,6}:{(78,1),(79,1),(80,1),(128,1),(131,1),(136,1),(164,1),(176,1),(191,1)}
       108:{2,4,5,6}:{(80,1),(81,1),(121,1),(129,1),(132,1)}
       109:{2,4,5}:{(82,1),(125,1),(136,1),(175,1)}
       110:{2,4,7}:{(82,1),(83,1),(126,1),(173,1)}
       111:{2,3,6,7}:{(83,1),(84,1),(88,1),(127,1),(134,1),(171,1),(195,1)}
       112:{2,4,6,7}:{(85,1),(86,1),(129,1),(135,1)}
       113:{2,4,6}:{(87,1),(88,1),(130,1),(136,1)}
       114:{1,4,6}:{(89,1),(92,1),(99,1),(137,1),(138,1),(177,1)}
       115:{1,3,7}:{(89,1),(90,1),(100,1),(138,1)}
       116:{1,2,6,7}:{(90,1),(91,1),(94,1),(139,1),(140,1),(158,1),(209,1)}
       117:{2,3,5,7}:{(91,1),(95,1),(103,1),(140,1),(141,1),(151,1),(152,1),(180,1)}
       118:{1,4,7}:{(92,1),(93,1),(105,1),(142,1),(146,1)}
       119:{1,3,6}:{(93,1),(94,1),(106,1),(142,1),(177,1)}
       120:{1,2,5,6}:{(94,1),(95,1),(97,1),(140,1),(143,1),(144,1),(155,1),(205,1),(209,1)}
       121:{2,4,6}:{(95,1),(98,1),(141,1),(145,1),(154,1)}
       122:{1,3,5}:{(96,1),(97,1),(146,1),(147,1)}
       123:{1,2,4,5}:{(97,1),(98,1),(144,1),(146,1),(147,1),(148,1),(182,1),(187,1),(188,1),(205,1)}
       124:{3,4,5}:{(98,1),(145,1),(147,1),(148,1)}
       125:{3,5}:{(99,1),(109,1),(137,1)}
       126:{3,4,7}:{(99,1),(100,1),(110,1),(138,1),(149,1)}
       127:{3,6,7}:{(100,1),(101,1),(106,1),(151,1),(180,1)}
       128:{1,2,5,7}:{(101,1),(102,1),(103,1),(107,1),(151,1),(157,1),(178,1)}
       129:{2,4,5,7}:{(103,1),(104,1),(108,1),(112,1),(141,1),(152,1)}
       130:{3,4,6}:{(105,1),(106,1),(113,1),(142,1),(153,1),(154,1)}
       131:{3,5,6}:{(106,1),(107,1),(151,1),(153,1),(154,1)}
       132:{3,5,6}:{(108,1),(145,1),(152,1),(155,1)}
       133:{2,4,5,7}:{(109,1),(110,1),(149,1),(156,1),(157,1),(190,1)}
       134:{2,4,6,7}:{(110,1),(111,1),(113,1),(150,1),(156,1),(157,1),(203,1),(209,1)}
       135:{3,6,7}:{(112,1),(152,1),(158,1)}
       136:{2,5}:{(113,1),(153,1)}
       137:{1,5}:{(114,1),(125,1)}
       138:{1,4,7}:{(114,1),(115,1),(126,1),(159,1)}
       139:{1,3,6,7}:{(115,1),(116,1),(119,1),(127,1),(160,1),(161,1),(207,1)}
       140:{1,2,5,7}:{(116,1),(117,1),(120,1),(161,1),(162,1),(174,1),(208,1)}
       141:{2,4,7}:{(117,1),(121,1),(163,1),(173,1)}
       142:{1,4,6}:{(118,1),(119,1),(130,1),(164,1)}
       143:{1,3,5,6}:{(119,1),(120,1),(122,1),(131,1),(161,1),(164,1),(165,1),(166,1),(191,1),(196,1),(207,1)}
       144:{1,2,4,6}:{(120,1),(121,1),(123,1),(162,1),(165,1),(166,1),(167,1),(197,1),(198,1)}
       145:{3,4,6}:{(121,1),(124,1),(132,1),(163,1),(166,1),(167,1)}
       146:{1,4}:{(122,1),(168,1)}
       147:{3,5}:{(123,1),(166,1),(168,1)}
       148:{1,4,5}:{(124,1),(167,1),(169,1)}
       149:{3,5,7}:{(125,1),(126,1),(133,1),(159,1),(171,1)}
       150:{3,4,6,7}:{(126,1),(127,1),(130,1),(134,1),(160,1),(171,1),(172,1),(173,1),(193,1),(200,1),(207,1)}
       151:{3,5,7}:{(127,1),(128,1),(131,1),(173,1)}
       152:{3,5,7}:{(129,1),(132,1),(135,1),(163,1),(174,1)}
       153:{3,5}:{(130,1),(136,1),(164,1),(175,1)}
       154:{4,6}:{(131,1),(173,1),(175,1)}
       155:{1,5,6}:{(132,1),(167,1),(174,1)}
       156:{2,4,6}:{(133,1),(171,1),(176,1),(200,1)}
       157:{2,5,7}:{(134,1),(136,1),(172,1),(176,1)}
       158:{1,6,7}:{(135,1),(174,1)}
       159:{1,5,7}:{(137,1),(138,1),(149,1),(177,1)}
       160:{1,4,6,7}:{(138,1),(139,1),(142,1),(150,1),(177,1),(178,1),(179,1),(201,1)}
       161:{1,3,5,7}:{(139,1),(140,1),(143,1),(151,1),(178,1),(179,1),(180,1),(202,1)}
       162:{1,2,4,7}:{(140,1),(141,1),(144,1),(179,1),(180,1),(181,1),(203,1),(204,1)}
       163:{3,4,7}:{(141,1),(145,1),(152,1),(180,1),(181,1)}
       164:{1,5}:{(142,1),(153,1)}
       165:{1,4,6}:{(143,1),(146,1),(154,1),(179,1),(182,1),(183,1)}
       166:{3,6}:{(144,1),(147,1),(180,1)}
       167:{1,4,6}:{(145,1),(148,1),(155,1),(181,1),(184,1)}
       168:{3,4}:{(146,1),(147,1),(187,1)}
       169:{1,3,5}:{(147,1),(148,1),(184,1),(186,1),(188,1)}
       170:{2,3,5}:{(147,1),(185,1),(187,1),(188,1),(205,1),(206,1)}
       171:{3,6}:{(149,1),(156,1),(177,1)}
       172:{3,5,7}:{(150,1),(153,1),(157,1),(178,1),(189,1),(190,1)}
       173:{4,7}:{(151,1),(154,1)}
       174:{1,5,7}:{(152,1),(155,1),(158,1),(181,1)}
       175:{4,5}:{(153,1),(154,1)}
       176:{2,5,6}:{(156,1),(157,1),(189,1),(209,1)}
       177:{1,6}:{(159,1),(171,1)}
       178:{1,5,7}:{(160,1),(164,1),(172,1),(191,1)}
       179:{1,4,7}:{(161,1),(165,1),(173,1),(193,1)}
       180:{3,7}:{(162,1),(166,1)}
       181:{1,4,7}:{(163,1),(167,1),(174,1),(194,1)}
       182:{1,4,5}:{(164,1),(165,1),(175,1),(196,1)}
       183:{3,4,6}:{(165,1),(166,1),(168,1),(193,1),(196,1),(197,1),(207,1)}
       184:{1,3,6}:{(166,1),(167,1),(169,1),(194,1),(198,1)}
       185:{2,3,6}:{(166,1),(170,1),(195,1),(197,1),(198,1)}
       186:{1,3,4}:{(168,1),(169,1),(199,1)}
       187:{2,4}:{(168,1),(170,1)}
       188:{1,2,5}:{(169,1),(170,1),(198,1),(199,1)}
       189:{3,5,6}:{(171,1),(172,1),(176,1),(191,1),(200,1),(207,1)}
       190:{4,5,7}:{(172,1),(173,1),(175,1),(200,1)}
       191:{1,5,6}:{(177,1),(178,1),(189,1),(201,1)}
       192:{1,4,5,7}:{(178,1),(179,1),(182,1),(190,1),(201,1),(202,1)}
       193:{3,4,7}:{(179,1),(180,1),(183,1),(202,1),(203,1)}
       194:{1,3,7}:{(180,1),(181,1),(184,1),(204,1)}
       195:{2,3,7}:{(180,1),(185,1),(203,1),(204,1)}
       196:{3,5}:{(182,1),(183,1),(205,1)}
       197:{2,4,6}:{(183,1),(185,1),(187,1),(203,1),(205,1),(209,1)}
       198:{1,2,6}:{(184,1),(185,1),(188,1),(204,1)}
       199:{1,2,4}:{(186,1),(187,1),(188,1),(206,1)}
       200:{4,6}:{(189,1),(190,1)}
       201:{1,4,6}:{(191,1),(192,1),(200,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(196,1),(207,1),(208,1)}
       203:{2,4,7}:{(193,1),(195,1),(197,1),(208,1)}
       204:{1,2,7}:{(194,1),(195,1),(198,1)}
       205:{2,5}:{(196,1),(197,1)}
       206:{2,3}:{(199,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{2,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

1008 :   0:{1,3,4,7}:{(2,1),(3,1),(4,1),(63,1),(70,1),(131,1),(175,1),(184,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(8,1),(36,1),(37,1),(50,1),(86,1),(101,1),(143,1),(154,1),(157,1)}
         2:{1,3,5,7}:{(0,1),(6,1),(9,1),(10,1),(13,1),(37,1),(149,1),(191,1),(199,1)}
         3:{1,2,4,7}:{(0,1),(9,1),(11,1),(12,1),(44,1),(196,1)}
         4:{1,3,4,6}:{(0,1),(10,1),(12,1),(13,1),(47,1),(94,1),(104,1),(106,1),(164,1)}
         5:{2,3,4,7}:{(14,1),(15,1),(16,1),(63,1),(111,1),(138,1),(169,1),(202,1)}
         6:{1,4,5,7}:{(1,1),(2,1),(19,1),(28,1),(60,1),(70,1),(118,1),(170,1)}
         7:{2,4,5,7}:{(1,1),(14,1),(20,1),(57,1),(61,1),(77,1),(111,1),(132,1)}
         8:{3,4,6}:{(1,1),(19,1),(20,1),(21,1),(64,1),(126,1)}
         9:{1,2,5,7}:{(2,1),(3,1),(23,1),(24,1),(27,1),(177,1),(203,1)}
        10:{1,3,6}:{(2,1),(19,1),(24,1),(64,1),(206,1)}
        11:{2,3,7}:{(3,1),(26,1),(131,1),(205,1)}
        12:{1,2,4,6}:{(3,1),(4,1),(24,1),(26,1),(27,1),(71,1),(75,1)}
        13:{1,3,5}:{(4,1),(27,1),(28,1),(76,1),(125,1),(186,1)}
        14:{2,3,5,7}:{(5,1),(7,1),(29,1),(30,1),(33,1),(37,1),(108,1),(162,1),(208,1)}
        15:{1,2,4,7}:{(5,1),(29,1),(31,1),(32,1),(80,1),(166,1)}
        16:{2,3,4,6}:{(5,1),(30,1),(32,1),(33,1),(83,1),(94,1),(146,1),(148,1),(194,1)}
        17:{3,4,6,7}:{(8,1),(34,1),(35,1),(36,1),(89,1),(90,1),(101,1),(143,1),(151,1),(152,1),(154,1)}
        18:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(29,1),(37,1),(38,1),(44,1),(49,1),(80,1),(85,1),(91,1),(100,1),(102,1),(142,1),(144,1),(154,1),(157,1),(159,1),(189,1),(199,1),(208,1)}
        19:{1,4,6}:{(6,1),(8,1),(10,1),(39,1)}
        20:{2,4,6}:{(7,1),(8,1),(30,1),(40,1)}
        21:{3,5,6}:{(8,1),(36,1),(39,1),(40,1),(41,1)}
        22:{1,3,6,7}:{(10,1),(34,1),(42,1),(43,1),(90,1),(151,1),(191,1)}
        23:{2,3,5,7}:{(9,1),(11,1),(37,1),(44,1),(45,1),(48,1),(102,1),(150,1),(192,1),(208,1)}
        24:{1,2,6}:{(9,1),(10,1),(45,1)}
        25:{1,3,5,6}:{(10,1),(13,1),(39,1),(43,1),(46,1),(47,1),(95,1),(96,1),(104,1)}
        26:{2,3,6}:{(11,1),(12,1),(48,1),(104,1)}
        27:{1,2,5}:{(12,1),(13,1),(48,1),(102,1)}
        28:{1,4,5}:{(13,1),(47,1),(50,1),(157,1)}
        29:{1,2,5,7}:{(14,1),(15,1),(52,1),(53,1),(56,1),(139,1),(185,1)}
        30:{2,3,6}:{(14,1),(20,1),(53,1),(64,1),(209,1)}
        31:{1,3,7}:{(15,1),(55,1),(169,1),(187,1)}
        32:{1,2,4,6}:{(15,1),(16,1),(53,1),(55,1),(56,1),(112,1),(116,1)}
        33:{2,3,5}:{(16,1),(56,1),(57,1),(117,1),(125,1),(204,1)}
        34:{1,4,6,7}:{(17,1),(19,1),(22,1),(60,1),(70,1),(170,1),(179,1)}
        35:{2,4,6,7}:{(17,1),(20,1),(51,1),(61,1),(111,1),(132,1),(178,1)}
        36:{3,5,7}:{(17,1),(21,1),(60,1),(61,1),(62,1)}
        37:{3,5,7}:{(18,1),(63,1),(64,1),(76,1),(117,1),(125,1),(131,1),(169,1)}
        38:{1,2,4,6}:{(18,1),(19,1),(20,1),(24,1),(53,1),(64,1),(65,1),(71,1),(112,1),(126,1),(182,1),(200,1),(206,1),(209,1)}
        39:{1,5,6}:{(19,1),(21,1),(60,1)}
        40:{2,5,6}:{(20,1),(21,1),(61,1)}
        41:{4,5,6}:{(21,1),(62,1),(126,1)}
        42:{1,2,6,7}:{(22,1),(24,1),(68,1),(69,1),(178,1),(203,1),(206,1)}
        43:{1,3,5,7}:{(22,1),(25,1),(60,1),(69,1),(70,1),(122,1),(123,1),(131,1)}
        44:{2,4,7}:{(23,1),(63,1),(71,1),(75,1),(176,1)}
        45:{2,3,6}:{(23,1),(24,1),(64,1),(71,1),(209,1)}
        46:{1,2,5,6}:{(24,1),(25,1),(27,1),(69,1),(72,1),(73,1),(127,1),(186,1),(206,1)}
        47:{1,4,6}:{(25,1),(28,1),(70,1),(74,1),(126,1)}
        48:{2,3,5}:{(26,1),(27,1),(75,1),(76,1)}
        49:{1,2,4,5}:{(27,1),(28,1),(73,1),(75,1),(76,1),(77,1),(133,1),(137,1),(139,1),(186,1)}
        50:{3,4,5}:{(28,1),(74,1),(76,1),(77,1)}
        51:{2,3,6,7}:{(30,1),(35,1),(78,1),(79,1),(90,1),(152,1),(162,1)}
        52:{1,3,5,7}:{(29,1),(31,1),(37,1),(80,1),(81,1),(84,1),(107,1),(144,1),(161,1),(199,1)}
        53:{1,2,6}:{(29,1),(30,1),(81,1)}
        54:{2,3,5,6}:{(30,1),(33,1),(40,1),(79,1),(82,1),(83,1),(95,1),(97,1),(146,1)}
        55:{1,3,6}:{(31,1),(32,1),(84,1),(146,1)}
        56:{1,2,5}:{(32,1),(33,1),(84,1),(144,1)}
        57:{2,4,5}:{(33,1),(83,1),(86,1),(157,1)}
        58:{3,5,6,7}:{(36,1),(87,1),(88,1),(89,1),(151,1),(152,1)}
        59:{1,2,4,6,7}:{(34,1),(35,1),(38,1),(42,1),(78,1),(90,1),(91,1),(98,1),(100,1),(140,1),(142,1),(154,1)}
        60:{1,5,7}:{(34,1),(36,1),(39,1)}
        61:{2,5,7}:{(35,1),(36,1),(40,1)}
        62:{4,5,7}:{(36,1),(41,1),(89,1),(154,1)}
        63:{3,4,7}:{(37,1),(44,1),(80,1),(94,1),(106,1),(148,1),(154,1)}
        64:{3,6}:{(37,1),(38,1)}
        65:{1,2,5,6}:{(38,1),(39,1),(40,1),(91,1),(95,1),(102,1),(144,1),(158,1),(188,1)}
        66:{1,4,5,6}:{(39,1),(41,1),(47,1),(92,1),(96,1)}
        67:{2,4,5,6}:{(40,1),(41,1),(83,1),(93,1),(97,1)}
        68:{2,3,6,7}:{(42,1),(45,1),(90,1),(98,1),(99,1),(192,1),(198,1)}
        69:{1,2,5,7}:{(42,1),(43,1),(46,1),(99,1),(100,1),(155,1),(199,1)}
        70:{1,4,7}:{(43,1),(47,1),(101,1),(154,1)}
        71:{2,4,6}:{(44,1),(45,1),(94,1),(102,1)}
        72:{2,3,5,6}:{(45,1),(46,1),(48,1),(95,1),(99,1),(102,1),(103,1),(104,1),(158,1),(163,1),(198,1)}
        73:{1,2,4,6}:{(46,1),(47,1),(49,1),(100,1),(103,1),(104,1),(105,1),(164,1),(165,1)}
        74:{3,4,6}:{(47,1),(50,1),(96,1),(101,1),(104,1),(105,1)}
        75:{2,4}:{(48,1),(106,1)}
        76:{3,5}:{(49,1),(104,1),(106,1)}
        77:{2,4,5}:{(50,1),(105,1),(108,1)}
        78:{1,2,6,7}:{(51,1),(53,1),(109,1),(110,1),(179,1),(185,1),(209,1)}
        79:{2,3,5,7}:{(51,1),(54,1),(61,1),(110,1),(111,1),(122,1),(124,1),(169,1)}
        80:{1,4,7}:{(52,1),(63,1),(112,1),(116,1),(137,1)}
        81:{1,3,6}:{(52,1),(53,1),(64,1),(112,1),(206,1)}
        82:{1,2,5,6}:{(53,1),(54,1),(56,1),(110,1),(113,1),(114,1),(128,1),(204,1),(209,1)}
        83:{2,4,6}:{(54,1),(57,1),(111,1),(115,1),(126,1)}
        84:{1,3,5}:{(55,1),(56,1),(116,1),(117,1)}
        85:{1,2,4,5}:{(56,1),(57,1),(114,1),(116,1),(117,1),(118,1),(171,1),(176,1),(177,1),(204,1)}
        86:{3,4,5}:{(57,1),(115,1),(117,1),(118,1)}
        87:{1,5,6,7}:{(58,1),(60,1),(119,1),(179,1)}
        88:{2,5,6,7}:{(58,1),(61,1),(120,1),(178,1)}
        89:{4,6,7}:{(58,1),(62,1)}
        90:{3,6,7}:{(59,1),(64,1),(122,1),(131,1),(169,1)}
        91:{1,2,5,7}:{(59,1),(60,1),(61,1),(65,1),(122,1),(129,1),(167,1)}
        92:{1,4,5,7}:{(60,1),(62,1),(66,1),(70,1),(119,1),(123,1)}
        93:{2,4,5,7}:{(61,1),(62,1),(67,1),(111,1),(120,1),(124,1)}
        94:{3,4,6}:{(63,1),(64,1),(71,1),(112,1),(125,1),(126,1)}
        95:{3,5,6}:{(64,1),(65,1),(122,1),(125,1),(126,1)}
        96:{3,5,6}:{(66,1),(74,1),(123,1),(127,1)}
        97:{3,5,6}:{(67,1),(115,1),(124,1),(128,1)}
        98:{2,4,6,7}:{(68,1),(71,1),(121,1),(129,1),(130,1),(182,1),(202,1),(209,1)}
        99:{2,3,5,7}:{(68,1),(69,1),(72,1),(122,1),(129,1),(130,1),(131,1),(183,1)}
       100:{1,2,4,7}:{(69,1),(70,1),(73,1),(130,1),(131,1),(132,1),(184,1),(185,1)}
       101:{3,4,7}:{(70,1),(74,1),(123,1),(131,1),(132,1)}
       102:{2,5}:{(71,1),(125,1)}
       103:{2,4,6}:{(72,1),(75,1),(126,1),(130,1),(133,1),(134,1)}
       104:{3,6}:{(73,1),(76,1),(131,1)}
       105:{2,4,6}:{(74,1),(77,1),(127,1),(132,1),(136,1)}
       106:{3,4}:{(75,1),(76,1),(137,1)}
       107:{1,3,5}:{(76,1),(135,1),(137,1),(139,1),(186,1),(187,1)}
       108:{2,3,5}:{(76,1),(77,1),(136,1),(138,1),(139,1)}
       109:{1,3,6,7}:{(78,1),(81,1),(90,1),(140,1),(141,1),(161,1),(207,1)}
       110:{1,2,5,7}:{(78,1),(79,1),(82,1),(141,1),(142,1),(156,1),(208,1)}
       111:{2,4,7}:{(79,1),(83,1),(143,1),(154,1)}
       112:{1,4,6}:{(80,1),(81,1),(94,1),(144,1)}
       113:{1,3,5,6}:{(81,1),(82,1),(84,1),(95,1),(141,1),(144,1),(145,1),(146,1),(188,1),(193,1),(207,1)}
       114:{1,2,4,6}:{(82,1),(83,1),(85,1),(142,1),(145,1),(146,1),(147,1),(194,1),(195,1)}
       115:{3,4,6}:{(83,1),(86,1),(97,1),(143,1),(146,1),(147,1)}
       116:{1,4}:{(84,1),(148,1)}
       117:{3,5}:{(85,1),(146,1),(148,1)}
       118:{1,4,5}:{(86,1),(147,1),(149,1)}
       119:{1,4,6,7}:{(87,1),(89,1),(92,1),(151,1)}
       120:{2,4,6,7}:{(88,1),(89,1),(93,1),(152,1)}
       121:{3,4,6,7}:{(90,1),(94,1),(98,1),(140,1),(153,1),(154,1),(160,1),(190,1),(197,1),(198,1),(207,1)}
       122:{3,5,7}:{(90,1),(91,1),(95,1),(154,1)}
       123:{3,5,7}:{(92,1),(96,1),(101,1),(151,1),(155,1)}
       124:{3,5,7}:{(93,1),(97,1),(143,1),(152,1),(156,1)}
       125:{3,5}:{(94,1),(102,1),(144,1),(157,1)}
       126:{4,6}:{(95,1),(154,1),(157,1)}
       127:{2,5,6}:{(96,1),(105,1),(155,1)}
       128:{1,5,6}:{(97,1),(147,1),(156,1)}
       129:{2,5,7}:{(98,1),(102,1),(153,1),(158,1)}
       130:{2,4,7}:{(99,1),(103,1),(154,1),(160,1)}
       131:{3,7}:{(100,1),(104,1)}
       132:{2,4,7}:{(101,1),(105,1),(155,1),(162,1)}
       133:{2,4,5}:{(102,1),(103,1),(157,1),(163,1)}
       134:{3,4,6}:{(103,1),(104,1),(106,1),(160,1),(163,1),(164,1),(198,1)}
       135:{1,3,6}:{(104,1),(107,1),(161,1),(164,1),(165,1)}
       136:{2,3,6}:{(104,1),(105,1),(108,1),(162,1),(165,1)}
       137:{1,4}:{(106,1),(107,1)}
       138:{2,3,4}:{(106,1),(108,1),(166,1)}
       139:{1,2,5}:{(107,1),(108,1),(165,1),(166,1)}
       140:{1,4,6,7}:{(109,1),(112,1),(121,1),(167,1),(168,1),(184,1),(200,1),(206,1)}
       141:{1,3,5,7}:{(109,1),(110,1),(113,1),(122,1),(167,1),(168,1),(169,1),(201,1)}
       142:{1,2,4,7}:{(110,1),(111,1),(114,1),(168,1),(169,1),(170,1),(202,1),(203,1)}
       143:{3,4,7}:{(111,1),(115,1),(124,1),(169,1),(170,1)}
       144:{1,5}:{(112,1),(125,1)}
       145:{1,4,6}:{(113,1),(116,1),(126,1),(168,1),(171,1),(172,1)}
       146:{3,6}:{(114,1),(117,1),(169,1)}
       147:{1,4,6}:{(115,1),(118,1),(128,1),(170,1),(173,1)}
       148:{3,4}:{(116,1),(117,1),(176,1)}
       149:{1,3,5}:{(117,1),(118,1),(173,1),(175,1),(177,1)}
       150:{2,3,5}:{(117,1),(174,1),(176,1),(177,1),(204,1),(205,1)}
       151:{3,6,7}:{(119,1),(123,1),(178,1)}
       152:{3,6,7}:{(120,1),(124,1),(179,1)}
       153:{3,5,7}:{(121,1),(125,1),(129,1),(167,1),(180,1),(181,1)}
       154:{4,7}:{(122,1),(126,1)}
       155:{2,5,7}:{(123,1),(127,1),(132,1),(178,1)}
       156:{1,5,7}:{(124,1),(128,1),(170,1),(179,1)}
       157:{4,5}:{(125,1),(126,1)}
       158:{2,5,6}:{(129,1),(180,1),(182,1),(209,1)}
       159:{2,4,5,7}:{(129,1),(130,1),(133,1),(181,1),(182,1),(183,1)}
       160:{3,4,7}:{(130,1),(131,1),(134,1),(183,1),(184,1)}
       161:{1,3,7}:{(131,1),(135,1),(184,1),(185,1)}
       162:{2,3,7}:{(131,1),(132,1),(136,1),(185,1)}
       163:{3,5}:{(133,1),(134,1),(186,1)}
       164:{1,4,6}:{(134,1),(135,1),(137,1),(184,1),(186,1),(206,1)}
       165:{1,2,6}:{(135,1),(136,1),(139,1),(185,1)}
       166:{1,2,4}:{(137,1),(138,1),(139,1),(187,1)}
       167:{1,5,7}:{(140,1),(144,1),(153,1),(188,1)}
       168:{1,4,7}:{(141,1),(145,1),(154,1),(190,1)}
       169:{3,7}:{(142,1),(146,1)}
       170:{1,4,7}:{(143,1),(147,1),(156,1),(191,1)}
       171:{1,4,5}:{(144,1),(145,1),(157,1),(193,1)}
       172:{3,4,6}:{(145,1),(146,1),(148,1),(190,1),(193,1),(194,1),(207,1)}
       173:{1,3,6}:{(146,1),(147,1),(149,1),(191,1),(195,1)}
       174:{2,3,6}:{(146,1),(150,1),(192,1),(194,1),(195,1)}
       175:{1,3,4}:{(148,1),(149,1),(196,1)}
       176:{2,4}:{(148,1),(150,1)}
       177:{1,2,5}:{(149,1),(150,1),(195,1),(196,1)}
       178:{2,6,7}:{(151,1),(155,1)}
       179:{1,6,7}:{(152,1),(156,1)}
       180:{3,5,6}:{(153,1),(158,1),(188,1),(197,1),(198,1),(207,1)}
       181:{4,5,7}:{(153,1),(154,1),(157,1),(197,1)}
       182:{2,4,6}:{(158,1),(159,1),(197,1),(198,1)}
       183:{3,5,7}:{(159,1),(160,1),(163,1),(198,1),(199,1)}
       184:{1,4,7}:{(160,1),(161,1),(164,1),(199,1)}
       185:{1,2,7}:{(161,1),(162,1),(165,1)}
       186:{1,5}:{(163,1),(164,1)}
       187:{1,3}:{(166,1)}
       188:{1,5,6}:{(167,1),(180,1),(200,1),(206,1)}
       189:{1,4,5,7}:{(167,1),(168,1),(171,1),(181,1),(200,1),(201,1)}
       190:{3,4,7}:{(168,1),(169,1),(172,1),(201,1),(202,1)}
       191:{1,3,7}:{(169,1),(170,1),(173,1),(203,1)}
       192:{2,3,7}:{(169,1),(174,1),(202,1),(203,1)}
       193:{3,5}:{(171,1),(172,1),(204,1)}
       194:{2,4,6}:{(172,1),(174,1),(176,1),(202,1),(204,1),(209,1)}
       195:{1,2,6}:{(173,1),(174,1),(177,1),(203,1)}
       196:{1,2,4}:{(175,1),(176,1),(177,1),(205,1)}
       197:{4,6}:{(180,1),(181,1)}
       198:{3,6}:{(182,1),(183,1),(206,1)}
       199:{1,5,7}:{(183,1),(184,1),(186,1),(206,1)}
       200:{1,4,6}:{(188,1),(189,1),(197,1),(207,1)}
       201:{3,5,7}:{(189,1),(190,1),(193,1),(207,1),(208,1)}
       202:{2,4,7}:{(190,1),(192,1),(194,1),(208,1)}
       203:{1,2,7}:{(191,1),(192,1),(195,1)}
       204:{2,5}:{(193,1),(194,1)}
       205:{2,3}:{(196,1)}
       206:{1,6}:{(198,1),(199,1)}
       207:{3,6}:{(200,1),(201,1),(209,1)}
       208:{2,5,7}:{(201,1),(202,1),(204,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

1009 :  0:{1,3,4}:{(2,1),(3,1),(47,1)}
        1:{3,4,5}:{(6,1),(7,1),(8,1),(34,1),(73,1)}
        2:{1,3,5}:{(0,1),(7,1),(9,1),(10,1),(34,1)}
        3:{1,2,4}:{(0,1),(10,1),(11,1),(37,1)}
        4:{2,3,4}:{(12,1),(13,1),(47,1)}
        5:{4,5,6}:{(15,1),(16,1),(65,1),(83,1)}
        6:{3,4,6}:{(1,1),(16,1),(17,1),(18,1),(19,1),(46,1),(65,1)}
        7:{1,4,5}:{(1,1),(2,1),(18,1)}
        8:{2,4,5}:{(1,1),(12,1),(19,1)}
        9:{1,3,6}:{(2,1),(18,1),(21,1),(22,1),(46,1)}
       10:{1,2,5}:{(2,1),(3,1),(22,1),(23,1)}
       11:{2,3}:{(3,1)}
       12:{2,3,5}:{(4,1),(8,1),(24,1),(25,1),(34,1)}
       13:{1,2,4}:{(4,1),(25,1),(26,1),(52,1)}
       14:{5,6,7}:{(27,1),(81,1)}
       15:{4,5,7}:{(5,1),(27,1),(28,1),(72,1),(81,1)}
       16:{3,5,6}:{(5,1),(6,1),(28,1),(29,1),(30,1)}
       17:{3,4,7}:{(6,1),(28,1),(31,1),(32,1),(57,1),(72,1)}
       18:{1,4,6}:{(6,1),(7,1),(9,1),(29,1),(31,1)}
       19:{2,4,6}:{(6,1),(8,1),(24,1),(30,1),(32,1)}
       20:{1,2,4,5}:{(7,1),(8,1),(10,1),(25,1),(33,1),(34,1),(37,1),(52,1),(60,1),(70,1),(73,1)}
       21:{1,3,7}:{(9,1),(31,1),(35,1),(57,1)}
       22:{1,2,6}:{(9,1),(10,1),(35,1),(36,1)}
       23:{2,3,5}:{(10,1),(11,1),(34,1),(36,1),(37,1),(60,1)}
       24:{2,3,6}:{(12,1),(19,1),(38,1),(39,1),(46,1)}
       25:{1,2,5}:{(12,1),(13,1),(39,1),(40,1)}
       26:{1,3}:{(13,1)}
       27:{4,6,7}:{(14,1),(15,1),(41,1)}
       28:{3,5,7}:{(15,1),(16,1),(17,1),(41,1),(42,1),(43,1)}
       29:{1,5,6}:{(16,1),(18,1),(42,1)}
       30:{2,5,6}:{(16,1),(19,1),(43,1)}
       31:{1,4,7}:{(17,1),(18,1),(21,1),(42,1)}
       32:{2,4,7}:{(17,1),(19,1),(38,1),(43,1)}
       33:{1,2,4,6}:{(18,1),(19,1),(20,1),(22,1),(39,1),(44,1),(45,1),(46,1),(49,1),(62,1),(65,1)}
       34:{3,5}:{(20,1),(46,1),(47,1)}
       35:{1,2,7}:{(21,1),(22,1),(48,1)}
       36:{2,3,6}:{(22,1),(23,1),(46,1),(48,1),(49,1)}
       37:{2,4}:{(23,1),(47,1)}
       38:{2,3,7}:{(24,1),(32,1),(50,1),(57,1)}
       39:{1,2,6}:{(24,1),(25,1),(50,1),(51,1)}
       40:{1,3,5}:{(25,1),(26,1),(34,1),(51,1),(52,1),(70,1)}
       41:{3,6,7}:{(27,1),(28,1),(53,1),(54,1)}
       42:{1,5,7}:{(28,1),(29,1),(31,1),(53,1)}
       43:{2,5,7}:{(28,1),(30,1),(32,1),(54,1)}
       44:{1,2,5,6}:{(29,1),(30,1),(33,1),(55,1),(56,1),(60,1),(70,1),(75,1),(80,1)}
       45:{1,2,4,7}:{(31,1),(32,1),(33,1),(35,1),(50,1),(55,1),(57,1),(59,1),(69,1),(72,1)}
       46:{3,6}:{(33,1),(34,1),(57,1)}
       47:{3,4}:{(34,1),(37,1),(52,1)}
       48:{2,3,7}:{(35,1),(36,1),(57,1),(59,1)}
       49:{2,4,6}:{(36,1),(37,1),(58,1),(59,1),(60,1),(75,1)}
       50:{1,2,7}:{(38,1),(39,1),(61,1)}
       51:{1,3,6}:{(39,1),(40,1),(46,1),(61,1),(62,1)}
       52:{1,4}:{(40,1),(47,1)}
       53:{1,6,7}:{(41,1),(42,1)}
       54:{2,6,7}:{(41,1),(43,1)}
       55:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(63,1),(64,1),(68,1),(76,1)}
       56:{3,5,6}:{(44,1),(46,1),(64,1),(65,1),(67,1),(79,1),(83,1)}
       57:{3,7}:{(45,1),(46,1)}
       58:{3,4,6}:{(46,1),(47,1),(49,1),(62,1),(65,1),(66,1),(67,1),(79,1)}
       59:{2,4,7}:{(48,1),(49,1),(66,1),(68,1)}
       60:{2,5}:{(49,1),(67,1)}
       61:{1,3,7}:{(50,1),(51,1),(57,1),(69,1)}
       62:{1,4,6}:{(51,1),(52,1),(58,1),(69,1),(70,1),(80,1)}
       63:{1,2,6,7}:{(53,1),(54,1),(55,1),(71,1),(75,1),(80,1)}
       64:{3,5,7}:{(55,1),(56,1),(57,1),(71,1),(72,1),(81,1)}
       65:{4,6}:{(56,1),(72,1),(73,1)}
       66:{3,4,7}:{(57,1),(58,1),(59,1),(69,1),(72,1),(74,1)}
       67:{3,5}:{(58,1),(60,1),(70,1),(73,1)}
       68:{2,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{1,4,7}:{(61,1),(62,1),(66,1),(76,1)}
       70:{1,5}:{(62,1),(67,1)}
       71:{3,6,7}:{(63,1),(64,1),(77,1),(79,1)}
       72:{4,7}:{(64,1),(65,1)}
       73:{4,5}:{(65,1),(67,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(78,1),(79,1)}
       75:{2,6}:{(68,1),(79,1)}
       76:{1,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       78:{4,5,7}:{(72,1),(73,1),(74,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(82,1)}
       80:{1,6}:{(76,1),(79,1)}
       81:{5,7}:{(77,1),(83,1)}
       82:{4,6}:{(78,1),(79,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

1010 :   0:{1,2,3}:{(4,1)}
         1:{1,3,4}:{(4,1),(5,1),(23,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(8,1),(10,1),(15,1),(32,1),(35,1),(41,1)}
         3:{3,4,5}:{(11,1),(12,1),(13,1),(41,1),(67,1)}
         4:{1,2,4}:{(0,1),(1,1),(14,1),(15,1)}
         5:{1,3,5}:{(1,1),(12,1),(15,1),(16,1),(41,1)}
         6:{1,2,3}:{(17,1)}
         7:{2,3,4}:{(17,1),(18,1),(23,1)}
         8:{1,2,3,6}:{(2,1),(19,1),(20,1),(29,1),(49,1),(60,1)}
         9:{4,5,6}:{(21,1),(22,1),(80,1),(99,1)}
        10:{1,2,4}:{(2,1),(23,1)}
        11:{2,4,5}:{(3,1),(18,1),(25,1)}
        12:{1,4,5}:{(3,1),(5,1),(26,1)}
        13:{3,4,6}:{(3,1),(21,1),(25,1),(26,1),(27,1),(60,1),(80,1)}
        14:{2,3,4}:{(4,1),(23,1),(28,1)}
        15:{1,2,5}:{(4,1),(5,1),(28,1),(29,1)}
        16:{1,3,6}:{(5,1),(26,1),(29,1),(30,1),(60,1)}
        17:{1,2,4}:{(6,1),(7,1),(31,1),(32,1)}
        18:{2,3,5}:{(7,1),(11,1),(32,1),(33,1),(41,1)}
        19:{1,2,4,6}:{(8,1),(10,1),(34,1),(35,1),(36,1),(71,1)}
        20:{1,2,3,7}:{(8,1),(36,1),(47,1),(66,1),(75,1)}
        21:{3,5,6}:{(9,1),(13,1),(37,1),(38,1),(39,1)}
        22:{4,5,7}:{(9,1),(39,1),(40,1),(91,1),(103,1)}
        23:{3,4}:{(10,1),(41,1)}
        24:{1,2,4,5}:{(10,1),(11,1),(12,1),(15,1),(32,1),(35,1),(41,1),(42,1),(45,1),(64,1),(67,1)}
        25:{2,4,6}:{(11,1),(13,1),(33,1),(37,1),(43,1)}
        26:{1,4,6}:{(12,1),(13,1),(16,1),(38,1),(44,1)}
        27:{3,4,7}:{(13,1),(39,1),(43,1),(44,1),(75,1),(91,1)}
        28:{2,3,5}:{(14,1),(15,1),(41,1),(45,1),(46,1)}
        29:{1,2,6}:{(15,1),(16,1),(46,1),(47,1)}
        30:{1,3,7}:{(16,1),(44,1),(47,1),(75,1)}
        31:{1,3,4}:{(17,1),(23,1),(48,1)}
        32:{1,2,5}:{(17,1),(18,1),(48,1),(49,1)}
        33:{2,3,6}:{(18,1),(25,1),(49,1),(50,1),(60,1)}
        34:{3,4,6}:{(19,1),(23,1),(51,1),(52,1),(60,1),(80,1),(83,1)}
        35:{1,2,5}:{(19,1),(51,1)}
        36:{1,2,4,7}:{(19,1),(20,1),(52,1),(54,1)}
        37:{2,5,6}:{(21,1),(25,1),(55,1)}
        38:{1,5,6}:{(21,1),(26,1),(56,1)}
        39:{3,5,7}:{(21,1),(22,1),(27,1),(55,1),(56,1),(57,1)}
        40:{4,6,7}:{(22,1),(57,1),(58,1)}
        41:{3,5}:{(23,1),(24,1),(60,1)}
        42:{1,2,4,6}:{(24,1),(25,1),(26,1),(29,1),(49,1),(53,1),(60,1),(61,1),(62,1),(78,1),(80,1)}
        43:{2,4,7}:{(25,1),(27,1),(50,1),(55,1)}
        44:{1,4,7}:{(26,1),(27,1),(30,1),(56,1)}
        45:{2,4,5}:{(28,1),(59,1),(62,1)}
        46:{2,3,6}:{(28,1),(29,1),(60,1),(62,1),(63,1)}
        47:{1,2,7}:{(29,1),(30,1),(63,1)}
        48:{1,3,5}:{(31,1),(32,1),(41,1),(64,1),(65,1)}
        49:{1,2,6}:{(32,1),(33,1),(65,1),(66,1)}
        50:{2,3,7}:{(33,1),(43,1),(66,1),(75,1)}
        51:{3,5}:{(34,1),(35,1),(67,1)}
        52:{3,4,7}:{(34,1),(36,1),(69,1),(75,1),(91,1)}
        53:{1,2,5,6}:{(35,1),(37,1),(38,1),(42,1),(68,1),(70,1),(71,1),(76,1),(88,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(69,1),(71,1)}
        55:{2,5,7}:{(37,1),(39,1),(43,1),(72,1)}
        56:{1,5,7}:{(38,1),(39,1),(44,1),(73,1)}
        57:{3,6,7}:{(39,1),(40,1),(72,1),(73,1)}
        58:{5,6,7}:{(40,1),(103,1)}
        59:{3,4,5}:{(41,1),(45,1),(64,1),(67,1),(74,1)}
        60:{3,6}:{(41,1),(42,1),(75,1)}
        61:{1,2,4,7}:{(42,1),(43,1),(44,1),(47,1),(66,1),(70,1),(75,1),(77,1),(89,1),(91,1)}
        62:{2,4,6}:{(45,1),(46,1),(74,1),(76,1),(77,1)}
        63:{2,3,7}:{(46,1),(47,1),(75,1),(77,1)}
        64:{1,4,5}:{(48,1),(59,1),(78,1)}
        65:{1,3,6}:{(48,1),(49,1),(60,1),(78,1),(79,1)}
        66:{1,2,7}:{(49,1),(50,1),(79,1)}
        67:{4,5}:{(51,1),(80,1)}
        68:{3,5,6}:{(51,1),(53,1),(60,1),(80,1),(82,1),(83,1),(99,1)}
        69:{3,5,7}:{(51,1),(52,1),(54,1),(81,1),(83,1)}
        70:{1,2,5,7}:{(53,1),(55,1),(56,1),(61,1),(82,1),(84,1),(87,1),(96,1)}
        71:{1,2,6}:{(54,1),(83,1)}
        72:{2,6,7}:{(55,1),(57,1)}
        73:{1,6,7}:{(56,1),(57,1)}
        74:{3,4,6}:{(59,1),(60,1),(62,1),(78,1),(80,1),(85,1),(86,1)}
        75:{3,7}:{(60,1),(61,1)}
        76:{2,5,6}:{(62,1),(85,1),(87,1)}
        77:{2,4,7}:{(62,1),(63,1),(86,1),(87,1)}
        78:{1,4,6}:{(64,1),(65,1),(74,1),(88,1),(89,1)}
        79:{1,3,7}:{(65,1),(66,1),(75,1),(89,1)}
        80:{4,6}:{(67,1),(68,1),(91,1)}
        81:{4,5,7}:{(67,1),(69,1),(91,1),(92,1),(103,1)}
        82:{3,5,7}:{(68,1),(70,1),(75,1),(91,1),(93,1),(103,1)}
        83:{3,6}:{(69,1),(71,1),(92,1)}
        84:{1,2,6,7}:{(70,1),(71,1),(72,1),(73,1),(93,1),(95,1),(101,1)}
        85:{3,5,6}:{(74,1),(76,1),(88,1),(90,1),(94,1)}
        86:{3,4,7}:{(74,1),(75,1),(77,1),(89,1),(91,1),(94,1)}
        87:{2,5,7}:{(76,1),(77,1),(94,1),(95,1)}
        88:{1,5,6}:{(78,1),(85,1),(96,1)}
        89:{1,4,7}:{(78,1),(79,1),(86,1),(96,1)}
        90:{4,5,6}:{(80,1),(85,1),(97,1),(99,1)}
        91:{4,7}:{(80,1),(82,1)}
        92:{4,6}:{(81,1),(83,1),(99,1)}
        93:{3,6,7}:{(82,1),(83,1),(84,1),(98,1)}
        94:{3,5,7}:{(85,1),(86,1),(87,1),(96,1),(97,1),(100,1)}
        95:{2,6,7}:{(87,1),(100,1)}
        96:{1,5,7}:{(88,1),(89,1),(94,1),(101,1)}
        97:{4,5,7}:{(90,1),(91,1),(94,1),(102,1),(103,1)}
        98:{4,6,7}:{(91,1),(92,1),(93,1),(103,1)}
        99:{5,6}:{(92,1),(103,1)}
       100:{3,6,7}:{(94,1),(95,1),(101,1),(102,1)}
       101:{1,6,7}:{(96,1),(100,1)}
       102:{4,6,7}:{(97,1),(100,1),(104,1)}
       103:{5,7}:{(98,1),(99,1)}
       104:{5,6,7}:{(102,1),(103,1)}

1011 :   0:{1,2,4,5,6}:{(1,1),(2,1),(9,1),(10,1),(12,1),(32,1),(73,1),(74,1),(75,1),(76,1),(102,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(51,1),(88,1),(100,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(24,1),(26,1),(62,1),(63,1),(64,1)}
         3:{3,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(40,1),(71,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(12,1),(13,1),(30,1),(40,1),(67,1),(68,1),(74,1),(94,1),(96,1),(103,1)}
         5:{2,3,5,6}:{(1,1),(10,1),(12,1),(14,1),(31,1),(40,1),(65,1),(70,1),(75,1),(92,1),(96,1),(102,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(15,1)}
         7:{1,2,4,6,7}:{(2,1),(15,1),(16,1),(42,1),(43,1),(45,1),(46,1),(73,1)}
         8:{3,4,5}:{(3,1),(17,1),(18,1),(51,1),(100,1)}
         9:{1,4,6}:{(3,1),(4,1),(17,1),(23,1),(84,1),(101,1)}
        10:{2,4,6}:{(3,1),(5,1),(18,1),(24,1),(81,1),(101,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(24,1),(60,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(22,1),(26,1),(47,1),(49,1),(83,1),(86,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(23,1),(26,1),(27,1),(60,1),(62,1),(90,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(24,1),(26,1),(28,1),(60,1),(63,1),(90,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,2,5,6,7}:{(7,1),(29,1),(62,1),(63,1),(89,1)}
        17:{1,4,5}:{(8,1),(9,1),(30,1),(103,1),(104,1)}
        18:{2,4,5}:{(8,1),(10,1),(31,1),(102,1),(104,1)}
        19:{3,4,5,7}:{(8,1),(11,1),(33,1),(34,1),(35,1),(44,1),(72,1),(97,1),(104,1)}
        20:{1,3,4,6}:{(9,1),(30,1),(36,1),(37,1),(40,1),(67,1),(71,1),(95,1)}
        21:{2,3,4,6}:{(10,1),(31,1),(38,1),(39,1),(40,1),(70,1),(71,1),(95,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(12,1),(32,1),(40,1),(41,1)}
        23:{1,4,7}:{(9,1),(11,1),(13,1),(97,1)}
        24:{2,4,7}:{(10,1),(11,1),(14,1),(97,1)}
        25:{3,4,6,7}:{(11,1),(15,1),(35,1),(42,1),(43,1),(44,1),(46,1),(79,1),(95,1),(97,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(14,1),(41,1),(45,1)}
        27:{1,3,6,7}:{(13,1),(15,1),(42,1),(45,1),(67,1),(79,1),(94,1)}
        28:{2,3,6,7}:{(14,1),(15,1),(43,1),(45,1),(70,1),(79,1),(92,1)}
        29:{3,5,6,7}:{(15,1),(16,1),(44,1),(46,1),(96,1)}
        30:{1,3,5}:{(17,1),(20,1),(47,1),(51,1),(100,1)}
        31:{2,3,5}:{(18,1),(21,1),(49,1),(51,1),(100,1)}
        32:{1,2,4,5}:{(17,1),(18,1),(22,1),(47,1),(49,1),(51,1),(81,1),(84,1)}
        33:{1,4,5,7}:{(17,1),(19,1),(23,1),(48,1),(53,1),(62,1)}
        34:{2,4,5,7}:{(18,1),(19,1),(24,1),(50,1),(54,1),(63,1)}
        35:{3,4,6}:{(19,1),(53,1),(54,1),(55,1),(88,1),(101,1)}
        36:{1,2,4,6}:{(20,1),(47,1),(56,1),(57,1),(81,1),(83,1),(98,1)}
        37:{1,3,4,7}:{(20,1),(23,1),(48,1),(57,1),(60,1),(87,1)}
        38:{1,2,4,6}:{(21,1),(49,1),(58,1),(59,1),(84,1),(86,1),(99,1)}
        39:{2,3,4,7}:{(21,1),(24,1),(50,1),(59,1),(60,1),(87,1)}
        40:{3,6}:{(22,1),(51,1),(60,1)}
        41:{1,2,4,7}:{(22,1),(23,1),(24,1),(26,1),(60,1)}
        42:{1,4,6,7}:{(23,1),(25,1),(27,1),(53,1),(62,1),(99,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(28,1),(54,1),(63,1),(98,1)}
        44:{3,5,7}:{(25,1),(55,1),(62,1),(63,1),(64,1),(100,1)}
        45:{1,2,6,7}:{(26,1),(27,1),(28,1),(83,1),(86,1)}
        46:{4,6,7}:{(29,1),(64,1),(101,1)}
        47:{1,2,5}:{(30,1),(36,1),(65,1),(102,1)}
        48:{1,3,5,7}:{(30,1),(33,1),(37,1),(66,1),(67,1),(72,1)}
        49:{1,2,5}:{(31,1),(38,1),(68,1),(103,1)}
        50:{2,3,5,7}:{(31,1),(34,1),(39,1),(69,1),(70,1),(72,1)}
        51:{3,5}:{(32,1),(40,1),(71,1)}
        52:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(41,1),(66,1),(69,1),(72,1),(73,1),(80,1),(91,1),(93,1),(97,1),(102,1),(103,1),(104,1)}
        53:{1,4,6}:{(33,1),(35,1),(67,1),(74,1)}
        54:{2,4,6}:{(34,1),(35,1),(70,1),(75,1)}
        55:{3,5,6}:{(35,1),(44,1),(74,1),(75,1),(76,1)}
        56:{2,3,6}:{(36,1),(40,1),(65,1),(77,1)}
        57:{1,2,4,7}:{(36,1),(37,1),(66,1),(77,1),(91,1)}
        58:{1,3,6}:{(38,1),(40,1),(68,1),(78,1)}
        59:{1,2,4,7}:{(38,1),(39,1),(69,1),(78,1),(93,1)}
        60:{3,7}:{(40,1),(41,1)}
        61:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(45,1),(73,1),(79,1),(80,1),(97,1)}
        62:{1,5,7}:{(42,1),(44,1),(74,1),(103,1)}
        63:{2,5,7}:{(43,1),(44,1),(75,1),(102,1)}
        64:{4,5,7}:{(44,1),(46,1),(76,1),(97,1),(104,1)}
        65:{2,3,5}:{(47,1),(51,1),(56,1),(81,1)}
        66:{1,2,5,7}:{(47,1),(48,1),(57,1),(82,1),(83,1)}
        67:{1,3,6}:{(48,1),(53,1),(83,1),(88,1)}
        68:{1,3,5}:{(49,1),(51,1),(58,1),(84,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(59,1),(85,1),(86,1)}
        70:{2,3,6}:{(50,1),(54,1),(86,1),(88,1)}
        71:{3,4}:{(51,1),(81,1),(84,1)}
        72:{3,5,7}:{(51,1),(52,1),(60,1),(87,1),(88,1),(100,1)}
        73:{1,2,4,6}:{(52,1),(53,1),(54,1),(83,1),(86,1),(88,1),(89,1),(98,1),(99,1),(101,1)}
        74:{1,5,6}:{(53,1),(55,1),(62,1)}
        75:{2,5,6}:{(54,1),(55,1),(63,1)}
        76:{4,5,6}:{(55,1),(64,1),(101,1)}
        77:{2,3,7}:{(56,1),(57,1),(60,1)}
        78:{1,3,7}:{(58,1),(59,1),(60,1)}
        79:{3,6,7}:{(60,1),(61,1),(88,1),(90,1)}
        80:{1,2,5,7}:{(61,1),(62,1),(63,1),(89,1),(90,1)}
        81:{2,4}:{(65,1),(71,1)}
        82:{2,3,5,7}:{(65,1),(66,1),(72,1),(77,1),(91,1),(92,1),(102,1)}
        83:{1,2,6}:{(66,1),(67,1),(92,1)}
        84:{1,4}:{(68,1),(71,1)}
        85:{1,3,5,7}:{(68,1),(69,1),(72,1),(78,1),(93,1),(94,1),(103,1)}
        86:{1,2,6}:{(69,1),(70,1),(94,1)}
        87:{3,4,7}:{(71,1),(72,1),(91,1),(93,1),(95,1),(97,1)}
        88:{3,6}:{(72,1),(73,1)}
        89:{1,2,5,6}:{(73,1),(74,1),(75,1),(80,1),(96,1),(102,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{2,4,7}:{(81,1),(82,1),(87,1),(98,1)}
        92:{2,3,6}:{(82,1),(83,1),(88,1),(98,1)}
        93:{1,4,7}:{(84,1),(85,1),(87,1),(99,1)}
        94:{1,3,6}:{(85,1),(86,1),(88,1),(99,1)}
        95:{3,4,6}:{(87,1),(88,1),(98,1),(99,1),(100,1),(101,1)}
        96:{3,5,6}:{(88,1),(89,1),(90,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{2,4,6}:{(91,1),(92,1),(95,1),(102,1)}
        99:{1,4,6}:{(93,1),(94,1),(95,1),(103,1)}
       100:{3,5}:{(95,1),(102,1),(103,1),(104,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{2,5}:{(98,1),(100,1)}
       103:{1,5}:{(99,1),(100,1)}
       104:{4,5}:{(100,1),(101,1)}

1012 :   0:{1,4,5,6}:{(3,1),(4,1),(25,1),(32,1),(82,1)}
         1:{1,3,4,6}:{(6,1),(7,1),(8,1),(25,1),(37,1),(72,1),(86,1),(120,1),(137,1)}
         2:{1,5,6,7}:{(9,1),(11,1),(90,1),(94,1)}
         3:{1,4,5,7}:{(0,1),(11,1),(12,1),(43,1),(45,1),(94,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(14,1)}
         5:{3,4,5}:{(10,1),(16,1),(17,1),(60,1)}
         6:{1,3,5}:{(1,1),(16,1),(19,1),(60,1),(144,1),(159,1)}
         7:{1,3,4,7}:{(1,1),(18,1),(20,1),(45,1),(97,1),(113,1),(143,1),(184,1)}
         8:{1,2,4,6}:{(1,1),(19,1),(20,1),(21,1),(61,1),(63,1),(114,1)}
         9:{3,5,6,7}:{(2,1),(22,1),(23,1),(27,1),(65,1),(68,1)}
        10:{3,4,6}:{(4,1),(5,1),(24,1),(25,1),(26,1),(72,1)}
        11:{1,4,6,7}:{(2,1),(3,1),(23,1),(27,1)}
        12:{3,5,7}:{(3,1),(4,1),(24,1),(27,1),(29,1)}
        13:{1,3,5,6}:{(4,1),(6,1),(25,1),(28,1),(30,1),(37,1),(72,1),(82,1),(136,1)}
        14:{2,5,6}:{(4,1),(26,1),(29,1)}
        15:{3,4,5,7}:{(5,1),(24,1),(33,1),(34,1),(35,1),(68,1),(85,1),(115,1),(127,1),(165,1),(176,1)}
        16:{1,4,5}:{(5,1),(6,1),(25,1),(176,1)}
        17:{2,4,5}:{(5,1),(26,1),(31,1)}
        18:{1,3,5,7}:{(6,1),(7,1),(34,1),(37,1),(38,1),(85,1),(160,1),(164,1),(169,1)}
        19:{1,2,5}:{(6,1),(8,1),(39,1),(138,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(38,1),(40,1),(88,1),(196,1)}
        21:{2,3,6}:{(8,1),(39,1),(40,1),(72,1)}
        22:{2,5,6,7}:{(9,1),(41,1),(49,1),(95,1)}
        23:{4,6,7}:{(9,1),(43,1)}
        24:{3,4,7}:{(10,1),(12,1),(45,1),(46,1),(97,1)}
        25:{1,4,6}:{(10,1),(13,1),(16,1),(45,1),(158,1)}
        26:{2,4,6}:{(10,1),(14,1),(17,1),(42,1),(46,1)}
        27:{3,6,7}:{(11,1),(12,1),(49,1)}
        28:{1,3,5,7}:{(12,1),(13,1),(45,1),(48,1),(50,1),(94,1),(97,1),(145,1)}
        29:{2,5,7}:{(12,1),(14,1),(46,1),(49,1)}
        30:{1,2,5,6}:{(13,1),(14,1),(19,1),(47,1),(50,1),(51,1),(61,1),(144,1),(181,1)}
        31:{2,3,5}:{(17,1),(42,1),(52,1),(55,1),(60,1)}
        32:{4,5,6}:{(43,1),(56,1),(158,1)}
        33:{3,4,6}:{(15,1),(56,1),(57,1),(58,1),(112,1),(158,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(18,1),(45,1),(57,1),(94,1),(139,1),(150,1)}
        35:{2,4,5,7}:{(15,1),(17,1),(46,1),(54,1),(58,1),(95,1),(140,1),(151,1)}
        36:{1,2,4,5}:{(16,1),(17,1),(19,1),(47,1),(55,1),(60,1),(63,1),(101,1),(110,1),(144,1)}
        37:{1,3,6}:{(18,1),(57,1),(61,1),(112,1),(181,1)}
        38:{1,2,5,7}:{(18,1),(19,1),(20,1),(61,1),(62,1),(177,1),(185,1)}
        39:{2,3,5}:{(19,1),(21,1),(60,1),(63,1)}
        40:{2,3,7}:{(20,1),(21,1),(97,1),(204,1)}
        41:{2,4,6,7}:{(22,1),(23,1),(64,1),(65,1)}
        42:{2,3,6}:{(26,1),(31,1),(66,1),(67,1),(72,1)}
        43:{4,5,7}:{(23,1),(32,1),(68,1),(165,1)}
        44:{3,4,6,7}:{(23,1),(24,1),(27,1),(33,1),(65,1),(68,1),(69,1),(70,1),(115,1),(122,1),(165,1)}
        45:{1,4,7}:{(24,1),(25,1),(28,1),(165,1)}
        46:{2,4,7}:{(24,1),(26,1),(29,1),(66,1)}
        47:{1,2,4,6}:{(25,1),(26,1),(30,1),(36,1),(67,1),(71,1),(72,1),(75,1),(120,1)}
        48:{1,3,6,7}:{(27,1),(28,1),(37,1),(69,1),(73,1),(122,1),(160,1)}
        49:{2,6,7}:{(27,1),(29,1)}
        50:{1,2,5,7}:{(28,1),(29,1),(30,1),(71,1),(73,1),(74,1),(164,1)}
        51:{2,3,5,6}:{(30,1),(39,1),(72,1),(74,1),(75,1),(87,1),(124,1),(136,1),(138,1),(167,1),(168,1)}
        52:{2,3,4}:{(31,1),(77,1),(86,1)}
        53:{2,4,5,6}:{(32,1),(64,1),(78,1),(83,1),(132,1)}
        54:{2,3,5,7}:{(31,1),(35,1),(66,1),(76,1),(79,1),(80,1),(85,1),(128,1),(207,1)}
        55:{1,2,5}:{(31,1),(67,1),(77,1),(81,1)}
        56:{3,5,6}:{(32,1),(33,1),(68,1),(82,1),(83,1)}
        57:{1,4,6}:{(33,1),(34,1),(37,1),(82,1)}
        58:{2,4,6}:{(33,1),(35,1),(79,1),(83,1)}
        59:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(38,1),(71,1),(80,1),(84,1),(85,1),(88,1),(121,1),(126,1),(135,1),(138,1),(161,1),(164,1),(165,1),(170,1),(175,1),(176,1),(193,1),(207,1)}
        60:{3,5}:{(36,1),(72,1),(86,1)}
        61:{1,2,6}:{(37,1),(38,1),(87,1)}
        62:{2,3,5,7}:{(38,1),(39,1),(40,1),(85,1),(87,1),(88,1),(138,1),(191,1),(197,1),(207,1)}
        63:{2,4}:{(39,1),(86,1)}
        64:{2,4,5,7}:{(41,1),(43,1),(53,1),(89,1),(95,1),(140,1)}
        65:{3,6,7}:{(41,1),(89,1),(90,1)}
        66:{2,3,7}:{(42,1),(46,1),(92,1),(97,1)}
        67:{1,2,6}:{(42,1),(55,1),(92,1),(93,1)}
        68:{3,5,7}:{(43,1),(44,1),(56,1),(94,1),(95,1)}
        69:{1,4,6,7}:{(44,1),(45,1),(48,1),(57,1),(90,1),(94,1),(139,1)}
        70:{2,4,6,7}:{(44,1),(46,1),(49,1),(58,1),(91,1),(95,1),(140,1)}
        71:{1,2,4,7}:{(45,1),(46,1),(47,1),(50,1),(92,1),(97,1),(100,1),(143,1)}
        72:{3,6}:{(47,1),(60,1),(97,1)}
        73:{1,2,6,7}:{(48,1),(49,1),(50,1),(61,1),(99,1),(177,1),(181,1)}
        74:{2,3,5,7}:{(50,1),(51,1),(97,1),(99,1),(100,1),(145,1),(147,1),(148,1)}
        75:{2,4,6}:{(51,1),(63,1),(98,1),(100,1),(101,1),(158,1)}
        76:{2,3,4,7}:{(52,1),(54,1),(102,1),(103,1),(113,1),(140,1),(178,1),(201,1)}
        77:{1,2,4}:{(52,1),(55,1),(104,1),(110,1)}
        78:{3,5,6}:{(53,1),(89,1),(105,1),(106,1)}
        79:{2,3,6}:{(54,1),(58,1),(108,1),(112,1),(209,1)}
        80:{1,2,5,7}:{(54,1),(55,1),(92,1),(103,1),(108,1),(109,1),(152,1)}
        81:{1,3,5}:{(55,1),(60,1),(93,1),(104,1),(110,1),(144,1)}
        82:{1,5,6}:{(56,1),(57,1),(94,1)}
        83:{2,5,6}:{(56,1),(58,1),(95,1)}
        84:{1,2,4,6}:{(57,1),(58,1),(59,1),(61,1),(108,1),(111,1),(112,1),(114,1),(149,1),(157,1),(158,1),(181,1),(203,1),(209,1)}
        85:{3,5,7}:{(59,1),(60,1),(97,1),(112,1),(113,1),(159,1),(178,1),(186,1)}
        86:{3,4}:{(60,1),(63,1),(110,1)}
        87:{2,3,6}:{(61,1),(62,1),(112,1),(114,1),(209,1)}
        88:{2,4,7}:{(62,1),(63,1),(113,1),(114,1),(205,1)}
        89:{3,5,7}:{(64,1),(65,1),(78,1),(115,1),(116,1)}
        90:{1,6,7}:{(65,1),(116,1)}
        91:{2,3,6,7}:{(65,1),(66,1),(70,1),(79,1),(117,1),(118,1),(122,1)}
        92:{1,2,7}:{(66,1),(67,1),(119,1)}
        93:{1,3,6}:{(67,1),(72,1),(81,1),(119,1),(120,1)}
        94:{1,5,7}:{(68,1),(69,1),(82,1)}
        95:{2,5,7}:{(68,1),(70,1),(83,1)}
        96:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(73,1),(84,1),(118,1),(121,1),(122,1),(125,1),(161,1),(163,1),(165,1)}
        97:{3,7}:{(71,1),(72,1)}
        98:{3,4,6}:{(72,1),(75,1),(86,1),(120,1),(123,1),(124,1),(167,1)}
        99:{2,3,6,7}:{(73,1),(74,1),(87,1),(122,1),(125,1),(167,1),(191,1)}
       100:{2,4,7}:{(74,1),(75,1),(123,1),(165,1)}
       101:{2,4,5}:{(75,1),(124,1),(138,1),(176,1)}
       102:{2,3,4,6}:{(76,1),(79,1),(128,1),(129,1),(132,1),(137,1),(173,1),(198,1),(199,1)}
       103:{1,2,4,7}:{(76,1),(77,1),(80,1),(129,1),(130,1),(135,1)}
       104:{1,3}:{(77,1)}
       105:{3,4,6}:{(78,1),(115,1),(127,1),(131,1),(132,1),(173,1)}
       106:{1,5,6}:{(78,1),(116,1),(131,1)}
       107:{2,3,5,6}:{(78,1),(79,1),(83,1),(117,1),(128,1),(132,1),(133,1),(136,1),(173,1)}
       108:{1,2,6}:{(79,1),(80,1),(134,1)}
       109:{1,3,5,7}:{(80,1),(81,1),(85,1),(119,1),(130,1),(134,1),(135,1),(164,1),(171,1),(175,1)}
       110:{1,4}:{(81,1),(86,1)}
       111:{1,2,5,6}:{(82,1),(83,1),(84,1),(121,1),(136,1),(138,1),(168,1),(175,1),(194,1)}
       112:{3,6}:{(84,1),(85,1)}
       113:{3,4,7}:{(85,1),(86,1),(88,1),(135,1),(137,1),(165,1),(198,1)}
       114:{2,4,6}:{(87,1),(88,1),(137,1),(138,1)}
       115:{3,4,7}:{(89,1),(105,1),(139,1),(140,1),(178,1)}
       116:{1,5,7}:{(89,1),(90,1),(106,1),(139,1)}
       117:{2,3,5,7}:{(89,1),(91,1),(95,1),(107,1),(140,1),(141,1),(145,1),(178,1)}
       118:{1,2,6,7}:{(90,1),(91,1),(92,1),(108,1),(141,1),(142,1),(209,1)}
       119:{1,3,7}:{(92,1),(93,1),(97,1),(143,1)}
       120:{1,4,6}:{(93,1),(98,1),(110,1),(143,1),(144,1),(181,1)}
       121:{1,2,5,7}:{(94,1),(95,1),(96,1),(111,1),(145,1),(148,1),(180,1)}
       122:{3,6,7}:{(96,1),(97,1),(112,1),(145,1),(178,1)}
       123:{3,4,7}:{(97,1),(98,1),(100,1),(143,1),(147,1)}
       124:{3,5}:{(98,1),(101,1),(144,1)}
       125:{2,4,6,7}:{(99,1),(100,1),(114,1),(146,1),(148,1),(149,1),(201,1),(209,1)}
       126:{2,4,5,7}:{(100,1),(101,1),(147,1),(148,1),(149,1),(182,1)}
       127:{3,4,5}:{(105,1),(150,1),(151,1),(186,1)}
       128:{2,3,5}:{(102,1),(151,1),(152,1),(159,1),(186,1),(206,1)}
       129:{1,2,4,6}:{(102,1),(103,1),(108,1),(152,1),(153,1),(157,1),(187,1)}
       130:{1,3,7}:{(103,1),(104,1),(153,1),(178,1)}
       131:{1,4,6}:{(105,1),(106,1),(139,1),(150,1),(154,1)}
       132:{2,4,6}:{(105,1),(107,1),(140,1),(151,1),(158,1)}
       133:{1,2,5,6}:{(106,1),(107,1),(108,1),(141,1),(152,1),(155,1),(156,1),(206,1),(209,1)}
       134:{1,3,6}:{(108,1),(109,1),(112,1),(157,1),(181,1)}
       135:{1,4,7}:{(109,1),(110,1),(113,1),(157,1),(187,1)}
       136:{3,5,6}:{(111,1),(112,1),(145,1),(158,1),(159,1)}
       137:{3,4,6}:{(112,1),(113,1),(114,1),(157,1),(158,1),(159,1)}
       138:{2,5}:{(114,1),(159,1)}
       139:{1,4,7}:{(115,1),(116,1),(131,1),(160,1)}
       140:{2,4,7}:{(115,1),(117,1),(132,1),(165,1)}
       141:{1,2,5,7}:{(116,1),(117,1),(118,1),(133,1),(161,1),(162,1),(207,1)}
       142:{1,3,6,7}:{(118,1),(119,1),(122,1),(134,1),(162,1),(163,1),(208,1)}
       143:{1,4,7}:{(119,1),(120,1),(123,1),(164,1)}
       144:{1,5}:{(120,1),(124,1)}
       145:{3,5,7}:{(121,1),(122,1),(136,1),(165,1)}
       146:{3,4,6,7}:{(122,1),(123,1),(125,1),(137,1),(163,1),(165,1),(166,1),(167,1),(192,1),(195,1),(208,1)}
       147:{3,5,7}:{(123,1),(124,1),(126,1),(164,1),(167,1)}
       148:{2,5,7}:{(125,1),(138,1),(166,1),(168,1)}
       149:{2,4,6}:{(126,1),(167,1),(168,1),(195,1)}
       150:{1,4,5}:{(127,1),(131,1),(169,1)}
       151:{2,4,5}:{(127,1),(128,1),(132,1),(176,1)}
       152:{1,2,5}:{(128,1),(129,1),(171,1),(175,1)}
       153:{1,3,6}:{(129,1),(130,1),(171,1),(173,1)}
       154:{1,3,6}:{(131,1),(160,1),(169,1),(172,1),(173,1)}
       155:{1,2,4,6}:{(131,1),(132,1),(133,1),(161,1),(170,1),(172,1),(173,1),(174,1),(199,1)}
       156:{1,3,5,6}:{(133,1),(134,1),(136,1),(162,1),(171,1),(173,1),(174,1),(175,1),(194,1),(200,1),(208,1)}
       157:{1,4,6}:{(134,1),(135,1),(137,1),(175,1)}
       158:{4,6}:{(136,1),(165,1),(176,1)}
       159:{3,5}:{(137,1),(138,1),(175,1),(176,1)}
       160:{1,3,7}:{(139,1),(154,1),(177,1),(178,1)}
       161:{1,2,4,7}:{(139,1),(140,1),(141,1),(155,1),(177,1),(178,1),(179,1),(201,1)}
       162:{1,3,5,7}:{(141,1),(142,1),(145,1),(156,1),(178,1),(179,1),(180,1),(202,1)}
       163:{1,4,6,7}:{(142,1),(143,1),(146,1),(157,1),(179,1),(180,1),(181,1),(203,1)}
       164:{1,5,7}:{(143,1),(144,1),(147,1),(181,1)}
       165:{4,7}:{(145,1),(158,1)}
       166:{3,5,7}:{(146,1),(148,1),(159,1),(180,1),(182,1),(183,1)}
       167:{3,6}:{(147,1),(149,1),(181,1)}
       168:{2,5,6}:{(148,1),(149,1),(183,1),(209,1)}
       169:{1,3,5}:{(150,1),(154,1),(184,1),(185,1),(186,1)}
       170:{1,2,4,5}:{(150,1),(151,1),(152,1),(155,1),(185,1),(186,1),(187,1),(190,1),(205,1),(206,1)}
       171:{1,3,5}:{(152,1),(153,1),(186,1),(187,1)}
       172:{1,2,6}:{(154,1),(177,1),(185,1),(188,1)}
       173:{3,6}:{(155,1),(178,1),(186,1)}
       174:{1,4,6}:{(156,1),(158,1),(179,1),(187,1),(189,1),(190,1)}
       175:{1,5}:{(157,1),(159,1)}
       176:{4,5}:{(158,1),(159,1)}
       177:{1,2,7}:{(160,1),(172,1),(191,1)}
       178:{3,7}:{(161,1),(173,1)}
       179:{1,4,7}:{(162,1),(165,1),(174,1),(192,1)}
       180:{1,5,7}:{(163,1),(166,1),(175,1),(194,1)}
       181:{1,6}:{(164,1),(167,1)}
       182:{4,5,7}:{(165,1),(166,1),(176,1),(195,1)}
       183:{3,5,6}:{(166,1),(167,1),(168,1),(194,1),(195,1),(208,1)}
       184:{1,3,4}:{(169,1),(196,1),(198,1)}
       185:{1,2,5}:{(169,1),(172,1),(196,1),(197,1)}
       186:{3,5}:{(170,1),(173,1),(198,1)}
       187:{1,4}:{(171,1),(198,1)}
       188:{2,3,6}:{(172,1),(173,1),(191,1),(197,1),(199,1)}
       189:{3,4,6}:{(173,1),(174,1),(192,1),(198,1),(199,1),(200,1),(208,1)}
       190:{1,4,5}:{(174,1),(175,1),(176,1),(200,1)}
       191:{2,3,7}:{(177,1),(178,1),(188,1),(201,1)}
       192:{3,4,7}:{(178,1),(179,1),(189,1),(201,1),(202,1)}
       193:{1,4,5,7}:{(179,1),(180,1),(182,1),(190,1),(202,1),(203,1)}
       194:{1,5,6}:{(180,1),(181,1),(183,1),(203,1)}
       195:{4,6}:{(182,1),(183,1)}
       196:{1,2,4}:{(184,1),(185,1),(204,1),(205,1)}
       197:{2,3,5}:{(185,1),(186,1),(188,1),(204,1),(205,1),(206,1)}
       198:{3,4}:{(186,1),(187,1),(205,1)}
       199:{2,4,6}:{(188,1),(189,1),(201,1),(205,1),(206,1),(209,1)}
       200:{3,5}:{(189,1),(190,1),(206,1)}
       201:{2,4,7}:{(191,1),(192,1),(199,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(200,1),(207,1),(208,1)}
       203:{1,4,6}:{(193,1),(194,1),(195,1),(208,1)}
       204:{2,3}:{(196,1)}
       205:{2,4}:{(197,1),(198,1)}
       206:{2,5}:{(199,1),(200,1)}
       207:{2,5,7}:{(201,1),(202,1),(206,1),(209,1)}
       208:{3,6}:{(202,1),(203,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

1013 :   0:{2,4,5,6}:{(3,1),(4,1),(26,1),(32,1),(83,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(26,1),(37,1),(72,1),(86,1),(120,1),(137,1)}
         2:{2,5,6,7}:{(9,1),(11,1),(91,1),(95,1)}
         3:{2,4,5,7}:{(0,1),(11,1),(12,1),(43,1),(46,1),(95,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(13,1)}
         5:{3,4,5}:{(10,1),(16,1),(17,1),(60,1)}
         6:{2,3,5}:{(1,1),(17,1),(19,1),(60,1),(144,1),(159,1)}
         7:{2,3,4,7}:{(1,1),(18,1),(20,1),(46,1),(97,1),(113,1),(143,1),(184,1)}
         8:{1,2,4,6}:{(1,1),(19,1),(20,1),(21,1),(61,1),(63,1),(114,1)}
         9:{3,5,6,7}:{(2,1),(22,1),(23,1),(27,1),(65,1),(68,1)}
        10:{3,4,6}:{(4,1),(5,1),(24,1),(25,1),(26,1),(72,1)}
        11:{2,4,6,7}:{(2,1),(3,1),(23,1),(27,1)}
        12:{3,5,7}:{(3,1),(4,1),(24,1),(27,1),(28,1)}
        13:{1,5,6}:{(4,1),(25,1),(28,1)}
        14:{2,3,5,6}:{(4,1),(6,1),(26,1),(29,1),(30,1),(37,1),(72,1),(83,1),(136,1)}
        15:{3,4,5,7}:{(5,1),(24,1),(33,1),(34,1),(35,1),(68,1),(85,1),(115,1),(127,1),(165,1),(176,1)}
        16:{1,4,5}:{(5,1),(25,1),(31,1)}
        17:{2,4,5}:{(5,1),(6,1),(26,1),(176,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(35,1),(37,1),(38,1),(85,1),(160,1),(164,1),(169,1)}
        19:{1,2,5}:{(6,1),(8,1),(39,1),(138,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(38,1),(40,1),(88,1),(196,1)}
        21:{1,3,6}:{(8,1),(39,1),(40,1),(72,1)}
        22:{1,5,6,7}:{(9,1),(41,1),(48,1),(94,1)}
        23:{4,6,7}:{(9,1),(43,1)}
        24:{3,4,7}:{(10,1),(12,1),(45,1),(46,1),(97,1)}
        25:{1,4,6}:{(10,1),(13,1),(16,1),(42,1),(45,1)}
        26:{2,4,6}:{(10,1),(14,1),(17,1),(46,1),(158,1)}
        27:{3,6,7}:{(11,1),(12,1),(48,1)}
        28:{1,5,7}:{(12,1),(13,1),(45,1),(48,1)}
        29:{2,3,5,7}:{(12,1),(14,1),(46,1),(49,1),(50,1),(95,1),(97,1),(145,1)}
        30:{1,2,5,6}:{(13,1),(14,1),(19,1),(47,1),(50,1),(51,1),(61,1),(144,1),(181,1)}
        31:{1,3,5}:{(16,1),(42,1),(52,1),(55,1),(60,1)}
        32:{4,5,6}:{(43,1),(56,1),(158,1)}
        33:{3,4,6}:{(15,1),(56,1),(57,1),(58,1),(112,1),(158,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(45,1),(54,1),(57,1),(94,1),(139,1),(150,1)}
        35:{2,4,5,7}:{(15,1),(17,1),(18,1),(46,1),(58,1),(95,1),(140,1),(151,1)}
        36:{1,2,4,5}:{(16,1),(17,1),(19,1),(47,1),(55,1),(60,1),(63,1),(101,1),(110,1),(144,1)}
        37:{2,3,6}:{(18,1),(58,1),(61,1),(112,1),(181,1)}
        38:{1,2,5,7}:{(18,1),(19,1),(20,1),(61,1),(62,1),(177,1),(185,1)}
        39:{1,3,5}:{(19,1),(21,1),(60,1),(63,1)}
        40:{1,3,7}:{(20,1),(21,1),(97,1),(204,1)}
        41:{1,4,6,7}:{(22,1),(23,1),(64,1),(65,1)}
        42:{1,3,6}:{(25,1),(31,1),(66,1),(67,1),(72,1)}
        43:{4,5,7}:{(23,1),(32,1),(68,1),(165,1)}
        44:{3,4,6,7}:{(23,1),(24,1),(27,1),(33,1),(65,1),(68,1),(69,1),(70,1),(115,1),(122,1),(165,1)}
        45:{1,4,7}:{(24,1),(25,1),(28,1),(66,1)}
        46:{2,4,7}:{(24,1),(26,1),(29,1),(165,1)}
        47:{1,2,4,6}:{(25,1),(26,1),(30,1),(36,1),(67,1),(71,1),(72,1),(75,1),(120,1)}
        48:{1,6,7}:{(27,1),(28,1)}
        49:{2,3,6,7}:{(27,1),(29,1),(37,1),(70,1),(73,1),(122,1),(160,1)}
        50:{1,2,5,7}:{(28,1),(29,1),(30,1),(71,1),(73,1),(74,1),(164,1)}
        51:{1,3,5,6}:{(30,1),(39,1),(72,1),(74,1),(75,1),(87,1),(124,1),(136,1),(138,1),(167,1),(168,1)}
        52:{1,3,4}:{(31,1),(77,1),(86,1)}
        53:{1,4,5,6}:{(32,1),(64,1),(78,1),(82,1),(131,1)}
        54:{1,3,5,7}:{(31,1),(34,1),(66,1),(76,1),(79,1),(80,1),(85,1),(128,1),(207,1)}
        55:{1,2,5}:{(31,1),(67,1),(77,1),(81,1)}
        56:{3,5,6}:{(32,1),(33,1),(68,1),(82,1),(83,1)}
        57:{1,4,6}:{(33,1),(34,1),(79,1),(82,1)}
        58:{2,4,6}:{(33,1),(35,1),(37,1),(83,1)}
        59:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(38,1),(71,1),(80,1),(84,1),(85,1),(88,1),(121,1),(126,1),(135,1),(138,1),(161,1),(164,1),(165,1),(170,1),(175,1),(176,1),(193,1),(207,1)}
        60:{3,5}:{(36,1),(72,1),(86,1)}
        61:{1,2,6}:{(37,1),(38,1),(87,1)}
        62:{1,3,5,7}:{(38,1),(39,1),(40,1),(85,1),(87,1),(88,1),(138,1),(191,1),(197,1),(207,1)}
        63:{1,4}:{(39,1),(86,1)}
        64:{1,4,5,7}:{(41,1),(43,1),(53,1),(89,1),(94,1),(139,1)}
        65:{3,6,7}:{(41,1),(89,1),(91,1)}
        66:{1,3,7}:{(42,1),(45,1),(92,1),(97,1)}
        67:{1,2,6}:{(42,1),(55,1),(92,1),(93,1)}
        68:{3,5,7}:{(43,1),(44,1),(56,1),(94,1),(95,1)}
        69:{1,4,6,7}:{(44,1),(45,1),(48,1),(57,1),(90,1),(94,1),(139,1)}
        70:{2,4,6,7}:{(44,1),(46,1),(49,1),(58,1),(91,1),(95,1),(140,1)}
        71:{1,2,4,7}:{(45,1),(46,1),(47,1),(50,1),(92,1),(97,1),(100,1),(143,1)}
        72:{3,6}:{(47,1),(60,1),(97,1)}
        73:{1,2,6,7}:{(48,1),(49,1),(50,1),(61,1),(99,1),(177,1),(181,1)}
        74:{1,3,5,7}:{(50,1),(51,1),(97,1),(99,1),(100,1),(145,1),(147,1),(148,1)}
        75:{1,4,6}:{(51,1),(63,1),(98,1),(100,1),(101,1),(158,1)}
        76:{1,3,4,7}:{(52,1),(54,1),(102,1),(103,1),(113,1),(139,1),(178,1),(201,1)}
        77:{1,2,4}:{(52,1),(55,1),(104,1),(110,1)}
        78:{3,5,6}:{(53,1),(89,1),(105,1),(107,1)}
        79:{1,3,6}:{(54,1),(57,1),(108,1),(112,1),(209,1)}
        80:{1,2,5,7}:{(54,1),(55,1),(92,1),(103,1),(108,1),(109,1),(152,1)}
        81:{2,3,5}:{(55,1),(60,1),(93,1),(104,1),(110,1),(144,1)}
        82:{1,5,6}:{(56,1),(57,1),(94,1)}
        83:{2,5,6}:{(56,1),(58,1),(95,1)}
        84:{1,2,4,6}:{(57,1),(58,1),(59,1),(61,1),(108,1),(111,1),(112,1),(114,1),(149,1),(157,1),(158,1),(181,1),(203,1),(209,1)}
        85:{3,5,7}:{(59,1),(60,1),(97,1),(112,1),(113,1),(159,1),(178,1),(186,1)}
        86:{3,4}:{(60,1),(63,1),(110,1)}
        87:{1,3,6}:{(61,1),(62,1),(112,1),(114,1),(209,1)}
        88:{1,4,7}:{(62,1),(63,1),(113,1),(114,1),(205,1)}
        89:{3,5,7}:{(64,1),(65,1),(78,1),(115,1),(117,1)}
        90:{1,3,6,7}:{(65,1),(66,1),(69,1),(79,1),(116,1),(118,1),(122,1)}
        91:{2,6,7}:{(65,1),(117,1)}
        92:{1,2,7}:{(66,1),(67,1),(119,1)}
        93:{2,3,6}:{(67,1),(72,1),(81,1),(119,1),(120,1)}
        94:{1,5,7}:{(68,1),(69,1),(82,1)}
        95:{2,5,7}:{(68,1),(70,1),(83,1)}
        96:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(73,1),(84,1),(118,1),(121,1),(122,1),(125,1),(161,1),(163,1),(165,1)}
        97:{3,7}:{(71,1),(72,1)}
        98:{3,4,6}:{(72,1),(75,1),(86,1),(120,1),(123,1),(124,1),(167,1)}
        99:{1,3,6,7}:{(73,1),(74,1),(87,1),(122,1),(125,1),(167,1),(191,1)}
       100:{1,4,7}:{(74,1),(75,1),(123,1),(165,1)}
       101:{1,4,5}:{(75,1),(124,1),(138,1),(176,1)}
       102:{1,3,4,6}:{(76,1),(79,1),(128,1),(129,1),(131,1),(137,1),(173,1),(198,1),(199,1)}
       103:{1,2,4,7}:{(76,1),(77,1),(80,1),(129,1),(130,1),(135,1)}
       104:{2,3}:{(77,1)}
       105:{3,4,6}:{(78,1),(115,1),(127,1),(131,1),(132,1),(173,1)}
       106:{1,3,5,6}:{(78,1),(79,1),(82,1),(116,1),(128,1),(131,1),(133,1),(136,1),(173,1)}
       107:{2,5,6}:{(78,1),(117,1),(132,1)}
       108:{1,2,6}:{(79,1),(80,1),(134,1)}
       109:{2,3,5,7}:{(80,1),(81,1),(85,1),(119,1),(130,1),(134,1),(135,1),(164,1),(171,1),(175,1)}
       110:{2,4}:{(81,1),(86,1)}
       111:{1,2,5,6}:{(82,1),(83,1),(84,1),(121,1),(136,1),(138,1),(168,1),(175,1),(194,1)}
       112:{3,6}:{(84,1),(85,1)}
       113:{3,4,7}:{(85,1),(86,1),(88,1),(135,1),(137,1),(165,1),(198,1)}
       114:{1,4,6}:{(87,1),(88,1),(137,1),(138,1)}
       115:{3,4,7}:{(89,1),(105,1),(139,1),(140,1),(178,1)}
       116:{1,3,5,7}:{(89,1),(90,1),(94,1),(106,1),(139,1),(141,1),(145,1),(178,1)}
       117:{2,5,7}:{(89,1),(91,1),(107,1),(140,1)}
       118:{1,2,6,7}:{(90,1),(91,1),(92,1),(108,1),(141,1),(142,1),(209,1)}
       119:{2,3,7}:{(92,1),(93,1),(97,1),(143,1)}
       120:{2,4,6}:{(93,1),(98,1),(110,1),(143,1),(144,1),(181,1)}
       121:{1,2,5,7}:{(94,1),(95,1),(96,1),(111,1),(145,1),(148,1),(180,1)}
       122:{3,6,7}:{(96,1),(97,1),(112,1),(145,1),(178,1)}
       123:{3,4,7}:{(97,1),(98,1),(100,1),(143,1),(147,1)}
       124:{3,5}:{(98,1),(101,1),(144,1)}
       125:{1,4,6,7}:{(99,1),(100,1),(114,1),(146,1),(148,1),(149,1),(201,1),(209,1)}
       126:{1,4,5,7}:{(100,1),(101,1),(147,1),(148,1),(149,1),(182,1)}
       127:{3,4,5}:{(105,1),(150,1),(151,1),(186,1)}
       128:{1,3,5}:{(102,1),(150,1),(152,1),(159,1),(186,1),(206,1)}
       129:{1,2,4,6}:{(102,1),(103,1),(108,1),(152,1),(153,1),(157,1),(187,1)}
       130:{2,3,7}:{(103,1),(104,1),(153,1),(178,1)}
       131:{1,4,6}:{(105,1),(106,1),(139,1),(150,1),(158,1)}
       132:{2,4,6}:{(105,1),(107,1),(140,1),(151,1),(154,1)}
       133:{1,2,5,6}:{(106,1),(107,1),(108,1),(141,1),(152,1),(155,1),(156,1),(206,1),(209,1)}
       134:{2,3,6}:{(108,1),(109,1),(112,1),(157,1),(181,1)}
       135:{2,4,7}:{(109,1),(110,1),(113,1),(157,1),(187,1)}
       136:{3,5,6}:{(111,1),(112,1),(145,1),(158,1),(159,1)}
       137:{3,4,6}:{(112,1),(113,1),(114,1),(157,1),(158,1),(159,1)}
       138:{1,5}:{(114,1),(159,1)}
       139:{1,4,7}:{(115,1),(116,1),(131,1),(165,1)}
       140:{2,4,7}:{(115,1),(117,1),(132,1),(160,1)}
       141:{1,2,5,7}:{(116,1),(117,1),(118,1),(133,1),(161,1),(162,1),(207,1)}
       142:{2,3,6,7}:{(118,1),(119,1),(122,1),(134,1),(162,1),(163,1),(208,1)}
       143:{2,4,7}:{(119,1),(120,1),(123,1),(164,1)}
       144:{2,5}:{(120,1),(124,1)}
       145:{3,5,7}:{(121,1),(122,1),(136,1),(165,1)}
       146:{3,4,6,7}:{(122,1),(123,1),(125,1),(137,1),(163,1),(165,1),(166,1),(167,1),(192,1),(195,1),(208,1)}
       147:{3,5,7}:{(123,1),(124,1),(126,1),(164,1),(167,1)}
       148:{1,5,7}:{(125,1),(138,1),(166,1),(168,1)}
       149:{1,4,6}:{(126,1),(167,1),(168,1),(195,1)}
       150:{1,4,5}:{(127,1),(128,1),(131,1),(176,1)}
       151:{2,4,5}:{(127,1),(132,1),(169,1)}
       152:{1,2,5}:{(128,1),(129,1),(171,1),(175,1)}
       153:{2,3,6}:{(129,1),(130,1),(171,1),(173,1)}
       154:{2,3,6}:{(132,1),(160,1),(169,1),(172,1),(173,1)}
       155:{1,2,4,6}:{(131,1),(132,1),(133,1),(161,1),(170,1),(172,1),(173,1),(174,1),(199,1)}
       156:{2,3,5,6}:{(133,1),(134,1),(136,1),(162,1),(171,1),(173,1),(174,1),(175,1),(194,1),(200,1),(208,1)}
       157:{2,4,6}:{(134,1),(135,1),(137,1),(175,1)}
       158:{4,6}:{(136,1),(165,1),(176,1)}
       159:{3,5}:{(137,1),(138,1),(175,1),(176,1)}
       160:{2,3,7}:{(140,1),(154,1),(177,1),(178,1)}
       161:{1,2,4,7}:{(139,1),(140,1),(141,1),(155,1),(177,1),(178,1),(179,1),(201,1)}
       162:{2,3,5,7}:{(141,1),(142,1),(145,1),(156,1),(178,1),(179,1),(180,1),(202,1)}
       163:{2,4,6,7}:{(142,1),(143,1),(146,1),(157,1),(179,1),(180,1),(181,1),(203,1)}
       164:{2,5,7}:{(143,1),(144,1),(147,1),(181,1)}
       165:{4,7}:{(145,1),(158,1)}
       166:{3,5,7}:{(146,1),(148,1),(159,1),(180,1),(182,1),(183,1)}
       167:{3,6}:{(147,1),(149,1),(181,1)}
       168:{1,5,6}:{(148,1),(149,1),(183,1),(209,1)}
       169:{2,3,5}:{(151,1),(154,1),(184,1),(185,1),(186,1)}
       170:{1,2,4,5}:{(150,1),(151,1),(152,1),(155,1),(185,1),(186,1),(187,1),(190,1),(205,1),(206,1)}
       171:{2,3,5}:{(152,1),(153,1),(186,1),(187,1)}
       172:{1,2,6}:{(154,1),(177,1),(185,1),(188,1)}
       173:{3,6}:{(155,1),(178,1),(186,1)}
       174:{2,4,6}:{(156,1),(158,1),(179,1),(187,1),(189,1),(190,1)}
       175:{2,5}:{(157,1),(159,1)}
       176:{4,5}:{(158,1),(159,1)}
       177:{1,2,7}:{(160,1),(172,1),(191,1)}
       178:{3,7}:{(161,1),(173,1)}
       179:{2,4,7}:{(162,1),(165,1),(174,1),(192,1)}
       180:{2,5,7}:{(163,1),(166,1),(175,1),(194,1)}
       181:{2,6}:{(164,1),(167,1)}
       182:{4,5,7}:{(165,1),(166,1),(176,1),(195,1)}
       183:{3,5,6}:{(166,1),(167,1),(168,1),(194,1),(195,1),(208,1)}
       184:{2,3,4}:{(169,1),(196,1),(198,1)}
       185:{1,2,5}:{(169,1),(172,1),(196,1),(197,1)}
       186:{3,5}:{(170,1),(173,1),(198,1)}
       187:{2,4}:{(171,1),(198,1)}
       188:{1,3,6}:{(172,1),(173,1),(191,1),(197,1),(199,1)}
       189:{3,4,6}:{(173,1),(174,1),(192,1),(198,1),(199,1),(200,1),(208,1)}
       190:{2,4,5}:{(174,1),(175,1),(176,1),(200,1)}
       191:{1,3,7}:{(177,1),(178,1),(188,1),(201,1)}
       192:{3,4,7}:{(178,1),(179,1),(189,1),(201,1),(202,1)}
       193:{2,4,5,7}:{(179,1),(180,1),(182,1),(190,1),(202,1),(203,1)}
       194:{2,5,6}:{(180,1),(181,1),(183,1),(203,1)}
       195:{4,6}:{(182,1),(183,1)}
       196:{1,2,4}:{(184,1),(185,1),(204,1),(205,1)}
       197:{1,3,5}:{(185,1),(186,1),(188,1),(204,1),(205,1),(206,1)}
       198:{3,4}:{(186,1),(187,1),(205,1)}
       199:{1,4,6}:{(188,1),(189,1),(201,1),(205,1),(206,1),(209,1)}
       200:{3,5}:{(189,1),(190,1),(206,1)}
       201:{1,4,7}:{(191,1),(192,1),(199,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(200,1),(207,1),(208,1)}
       203:{2,4,6}:{(193,1),(194,1),(195,1),(208,1)}
       204:{1,3}:{(196,1)}
       205:{1,4}:{(197,1),(198,1)}
       206:{1,5}:{(199,1),(200,1)}
       207:{1,5,7}:{(201,1),(202,1),(206,1),(209,1)}
       208:{3,6}:{(202,1),(203,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

1014 :   0:{3,4,5,6}:{(1,1),(2,1),(3,1),(18,1),(154,1),(166,1),(206,1)}
         1:{1,4,5,6}:{(0,1),(4,1),(7,1),(171,1),(212,1)}
         2:{2,4,5,6}:{(0,1),(5,1),(8,1),(177,1),(215,1)}
         3:{3,4,5,7}:{(0,1),(7,1),(8,1),(9,1),(36,1),(135,1)}
         4:{1,3,5,6}:{(1,1),(12,1),(14,1),(15,1),(18,1),(142,1),(198,1)}
         5:{2,3,5,6}:{(2,1),(13,1),(16,1),(17,1),(18,1),(148,1),(203,1)}
         6:{1,2,4,5,6}:{(1,1),(2,1),(14,1),(16,1),(18,1),(19,1),(48,1),(51,1),(93,1),(159,1),(162,1),(164,1),(166,1)}
         7:{1,4,5,7}:{(1,1),(3,1),(15,1),(20,1)}
         8:{2,4,5,7}:{(2,1),(3,1),(17,1),(21,1)}
         9:{3,4,6,7}:{(3,1),(20,1),(21,1),(22,1),(56,1),(105,1),(206,1)}
        10:{1,3,4,5}:{(12,1),(23,1),(54,1),(106,1),(142,1)}
        11:{2,3,4,5}:{(13,1),(24,1),(54,1),(109,1),(148,1)}
        12:{1,3,4,6}:{(4,1),(10,1),(25,1),(26,1),(35,1)}
        13:{2,3,4,6}:{(5,1),(11,1),(27,1),(28,1),(35,1)}
        14:{1,2,5,6}:{(4,1),(25,1),(29,1),(30,1),(113,1),(175,1)}
        15:{1,3,5,7}:{(4,1),(7,1),(26,1),(30,1),(31,1),(36,1)}
        16:{1,2,5,6}:{(5,1),(27,1),(32,1),(33,1),(118,1),(181,1)}
        17:{2,3,5,7}:{(5,1),(8,1),(28,1),(33,1),(34,1),(36,1)}
        18:{3,5,6}:{(6,1),(35,1),(36,1),(122,1),(186,1)}
        19:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(30,1),(33,1),(36,1),(37,1),(71,1),(74,1),(129,1),(132,1),(135,1)}
        20:{1,4,6,7}:{(7,1),(9,1),(31,1),(38,1),(212,1)}
        21:{2,4,6,7}:{(8,1),(9,1),(34,1),(39,1),(215,1)}
        22:{3,5,6,7}:{(9,1),(38,1),(39,1),(40,1),(218,1)}
        23:{1,2,4,5}:{(10,1),(25,1),(41,1),(70,1),(80,1),(113,1)}
        24:{1,2,4,5}:{(11,1),(27,1),(42,1),(73,1),(82,1),(118,1)}
        25:{1,2,4,6}:{(12,1),(14,1),(23,1),(43,1),(44,1),(48,1)}
        26:{1,3,4,7}:{(12,1),(15,1),(44,1),(55,1)}
        27:{1,2,4,6}:{(13,1),(16,1),(24,1),(45,1),(46,1),(51,1)}
        28:{2,3,4,7}:{(13,1),(17,1),(46,1),(55,1)}
        29:{2,3,5,6}:{(14,1),(18,1),(43,1),(48,1),(49,1),(86,1),(147,1),(162,1)}
        30:{1,2,5,7}:{(14,1),(15,1),(44,1),(49,1),(50,1)}
        31:{1,3,6,7}:{(15,1),(20,1),(50,1),(56,1),(198,1)}
        32:{1,3,5,6}:{(16,1),(18,1),(45,1),(51,1),(52,1),(90,1),(153,1),(164,1)}
        33:{1,2,5,7}:{(16,1),(17,1),(46,1),(52,1),(53,1)}
        34:{2,3,6,7}:{(17,1),(21,1),(53,1),(56,1),(203,1)}
        35:{3,4,6}:{(18,1),(48,1),(51,1),(54,1),(55,1)}
        36:{3,5,7}:{(18,1),(19,1),(55,1),(56,1)}
        37:{1,2,4,6,7}:{(19,1),(20,1),(21,1),(50,1),(53,1),(56,1),(57,1),(98,1),(101,1),(105,1),(159,1)}
        38:{1,5,6,7}:{(20,1),(22,1),(222,1)}
        39:{2,5,6,7}:{(21,1),(22,1),(224,1)}
        40:{4,5,6,7}:{(22,1),(105,1),(226,1)}
        41:{2,3,5}:{(23,1),(43,1),(59,1)}
        42:{1,3,5}:{(24,1),(45,1),(61,1)}
        43:{2,3,6}:{(25,1),(41,1),(64,1)}
        44:{1,2,4,7}:{(25,1),(26,1),(30,1),(64,1),(71,1)}
        45:{1,3,6}:{(27,1),(42,1),(67,1)}
        46:{1,2,4,7}:{(27,1),(28,1),(33,1),(67,1),(74,1)}
        47:{1,2,3,5,6}:{(29,1),(32,1),(62,1),(65,1),(68,1),(69,1),(113,1),(118,1),(122,1),(172,1),(175,1),(178,1),(181,1),(186,1),(189,1)}
        48:{2,4,6}:{(29,1),(35,1),(70,1),(71,1)}
        49:{2,3,5,7}:{(29,1),(30,1),(36,1),(64,1),(71,1),(72,1),(129,1)}
        50:{1,2,6,7}:{(30,1),(31,1),(72,1),(175,1)}
        51:{1,4,6}:{(32,1),(35,1),(73,1),(74,1)}
        52:{1,3,5,7}:{(32,1),(33,1),(36,1),(67,1),(74,1),(75,1),(132,1)}
        53:{1,2,6,7}:{(33,1),(34,1),(75,1),(181,1)}
        54:{3,4,5}:{(35,1),(70,1),(73,1),(122,1)}
        55:{3,4,7}:{(35,1),(36,1),(71,1),(74,1)}
        56:{3,6,7}:{(36,1),(37,1),(186,1)}
        57:{1,2,5,6,7}:{(37,1),(38,1),(39,1),(79,1),(129,1),(132,1),(189,1)}
        58:{1,2,3,5}:{(41,1),(62,1),(80,1),(113,1),(136,1)}
        59:{2,3,4}:{(41,1),(80,1)}
        60:{1,2,3,5}:{(42,1),(65,1),(82,1),(118,1),(139,1)}
        61:{1,3,4}:{(42,1),(82,1)}
        62:{1,2,3,6}:{(43,1),(58,1),(84,1),(85,1),(167,1)}
        63:{2,3,4,6}:{(43,1),(48,1),(59,1),(84,1),(86,1),(87,1),(92,1),(147,1)}
        64:{2,3,7}:{(43,1),(44,1)}
        65:{1,2,3,6}:{(45,1),(60,1),(88,1),(89,1),(169,1)}
        66:{1,3,4,6}:{(45,1),(51,1),(61,1),(88,1),(90,1),(91,1),(92,1),(153,1)}
        67:{1,3,7}:{(45,1),(46,1)}
        68:{1,2,4,6}:{(47,1),(48,1),(51,1),(92,1),(93,1),(94,1),(195,1),(200,1)}
        69:{1,2,3,5,7}:{(47,1),(49,1),(52,1),(85,1),(89,1),(94,1),(95,1),(145,1),(151,1),(156,1),(160,1),(197,1),(202,1)}
        70:{2,4,5}:{(48,1),(54,1),(86,1)}
        71:{2,4,7}:{(48,1),(49,1),(55,1)}
        72:{2,3,6,7}:{(49,1),(50,1),(56,1),(98,1),(147,1)}
        73:{1,4,5}:{(51,1),(54,1),(90,1)}
        74:{1,4,7}:{(51,1),(52,1),(55,1)}
        75:{1,3,6,7}:{(52,1),(53,1),(56,1),(101,1),(153,1)}
        76:{3,4,5,6}:{(54,1),(96,1),(99,1),(102,1),(103,1),(155,1),(226,1)}
        77:{3,4,5,7}:{(54,1),(55,1),(97,1),(100,1),(103,1),(104,1),(156,1),(209,1)}
        78:{3,4,6,7}:{(55,1),(56,1),(98,1),(101,1),(103,1),(104,1),(105,1)}
        79:{3,5,6,7}:{(56,1),(57,1),(104,1),(105,1),(208,1)}
        80:{1,2,4}:{(58,1),(59,1),(106,1)}
        81:{2,3,4,5}:{(59,1),(86,1),(107,1),(108,1),(154,1)}
        82:{1,2,4}:{(60,1),(61,1),(109,1)}
        83:{1,3,4,5}:{(61,1),(90,1),(110,1),(111,1),(154,1)}
        84:{1,2,4,6}:{(62,1),(63,1),(80,1),(112,1),(113,1),(114,1),(175,1)}
        85:{1,2,3,7}:{(62,1),(64,1),(114,1),(193,1)}
        86:{2,3,5}:{(63,1),(70,1),(113,1),(122,1)}
        87:{2,3,4,7}:{(63,1),(64,1),(71,1),(114,1),(116,1),(123,1)}
        88:{1,2,4,6}:{(65,1),(66,1),(82,1),(117,1),(118,1),(119,1),(181,1)}
        89:{1,2,3,7}:{(65,1),(67,1),(119,1),(194,1)}
        90:{1,3,5}:{(66,1),(73,1),(118,1),(122,1)}
        91:{1,3,4,7}:{(66,1),(67,1),(74,1),(119,1),(121,1),(123,1)}
        92:{3,4,6}:{(68,1),(122,1),(123,1),(186,1)}
        93:{1,2,4,5}:{(68,1),(70,1),(73,1),(113,1),(118,1),(122,1),(171,1),(177,1)}
        94:{1,2,4,7}:{(68,1),(69,1),(71,1),(74,1),(123,1),(211,1),(214,1)}
        95:{1,2,3,6,7}:{(69,1),(72,1),(75,1),(126,1),(175,1),(181,1),(186,1),(213,1),(216,1)}
        96:{2,4,5,6}:{(70,1),(76,1),(115,1),(127,1),(128,1)}
        97:{2,4,5,7}:{(70,1),(71,1),(77,1),(116,1),(128,1),(129,1)}
        98:{2,4,6,7}:{(71,1),(72,1),(78,1),(128,1),(129,1)}
        99:{1,4,5,6}:{(73,1),(76,1),(120,1),(130,1),(131,1)}
       100:{1,4,5,7}:{(73,1),(74,1),(77,1),(121,1),(131,1),(132,1)}
       101:{1,4,6,7}:{(74,1),(75,1),(78,1),(131,1),(132,1)}
       102:{3,4,5,7}:{(76,1),(127,1),(130,1),(133,1),(185,1),(230,1)}
       103:{3,4,6}:{(77,1),(128,1),(131,1),(134,1),(186,1),(220,1)}
       104:{3,5,7}:{(78,1),(129,1),(132,1),(134,1),(135,1)}
       105:{4,6,7}:{(79,1),(135,1),(220,1)}
       106:{1,3,4}:{(80,1),(136,1)}
       107:{1,2,4,5}:{(80,1),(81,1),(113,1),(136,1),(137,1),(171,1)}
       108:{2,3,4,6}:{(81,1),(115,1),(137,1),(138,1),(183,1)}
       109:{2,3,4}:{(82,1),(139,1)}
       110:{1,2,4,5}:{(82,1),(83,1),(118,1),(139,1),(140,1),(177,1)}
       111:{1,3,4,6}:{(83,1),(120,1),(140,1),(141,1),(183,1)}
       112:{1,3,4,6}:{(84,1),(92,1),(106,1),(142,1),(143,1),(167,1),(195,1),(198,1)}
       113:{1,2,5}:{(84,1),(86,1),(142,1)}
       114:{1,2,4,7}:{(84,1),(85,1),(87,1),(143,1),(145,1)}
       115:{2,3,5,6}:{(86,1),(96,1),(108,1),(144,1),(146,1),(147,1),(155,1)}
       116:{2,3,5,7}:{(86,1),(87,1),(97,1),(145,1),(147,1),(156,1)}
       117:{2,3,4,6}:{(88,1),(92,1),(109,1),(148,1),(149,1),(169,1),(200,1),(203,1)}
       118:{1,2,5}:{(88,1),(90,1),(148,1)}
       119:{1,2,4,7}:{(88,1),(89,1),(91,1),(149,1),(151,1)}
       120:{1,3,5,6}:{(90,1),(99,1),(111,1),(150,1),(152,1),(153,1),(155,1)}
       121:{1,3,5,7}:{(90,1),(91,1),(100,1),(151,1),(153,1),(156,1)}
       122:{3,5}:{(92,1),(93,1)}
       123:{3,4,7}:{(92,1),(94,1),(156,1)}
       124:{1,2,4,5,6}:{(93,1),(96,1),(99,1),(144,1),(150,1),(155,1),(158,1),(159,1),(195,1),(200,1),(222,1),(224,1),(226,1)}
       125:{1,2,4,5,7}:{(93,1),(94,1),(97,1),(100,1),(145,1),(151,1),(156,1),(159,1),(160,1),(196,1),(201,1),(209,1)}
       126:{1,2,4,6,7}:{(94,1),(95,1),(98,1),(101,1),(157,1),(159,1),(160,1),(221,1),(223,1)}
       127:{2,4,5,7}:{(96,1),(102,1),(146,1),(161,1)}
       128:{2,4,6}:{(97,1),(103,1),(147,1),(162,1)}
       129:{2,5,7}:{(98,1),(104,1),(162,1)}
       130:{1,4,5,7}:{(99,1),(102,1),(152,1),(163,1)}
       131:{1,4,6}:{(100,1),(103,1),(153,1),(164,1)}
       132:{1,5,7}:{(101,1),(104,1),(164,1)}
       133:{3,4,6,7}:{(102,1),(103,1),(161,1),(163,1),(165,1),(207,1),(227,1)}
       134:{3,5,6}:{(103,1),(104,1),(162,1),(164,1),(166,1)}
       135:{4,5,7}:{(104,1),(105,1),(166,1)}
       136:{1,3,5}:{(106,1),(107,1),(167,1)}
       137:{1,2,4,6}:{(107,1),(108,1),(144,1),(167,1),(168,1),(195,1)}
       138:{2,3,4,7}:{(108,1),(146,1),(168,1),(205,1)}
       139:{2,3,5}:{(109,1),(110,1),(169,1)}
       140:{1,2,4,6}:{(110,1),(111,1),(150,1),(169,1),(170,1),(200,1)}
       141:{1,3,4,7}:{(111,1),(152,1),(170,1),(205,1)}
       142:{1,3,5}:{(112,1),(113,1),(122,1),(171,1)}
       143:{1,3,4,7}:{(112,1),(114,1),(123,1),(173,1),(193,1),(211,1)}
       144:{1,2,5,6}:{(113,1),(115,1),(137,1),(172,1),(174,1),(175,1)}
       145:{1,2,5,7}:{(113,1),(114,1),(116,1),(173,1),(175,1)}
       146:{2,3,5,7}:{(115,1),(127,1),(138,1),(174,1),(176,1),(185,1)}
       147:{2,3,6}:{(116,1),(128,1),(175,1),(186,1)}
       148:{2,3,5}:{(117,1),(118,1),(122,1),(177,1)}
       149:{2,3,4,7}:{(117,1),(119,1),(123,1),(179,1),(194,1),(214,1)}
       150:{1,2,5,6}:{(118,1),(120,1),(140,1),(178,1),(180,1),(181,1)}
       151:{1,2,5,7}:{(118,1),(119,1),(121,1),(179,1),(181,1)}
       152:{1,3,5,7}:{(120,1),(130,1),(141,1),(180,1),(182,1),(185,1)}
       153:{1,3,6}:{(121,1),(131,1),(181,1),(186,1)}
       154:{3,4,5}:{(122,1),(171,1),(177,1),(183,1)}
       155:{3,5,6}:{(122,1),(124,1),(183,1),(185,1),(186,1)}
       156:{3,5,7}:{(122,1),(123,1),(125,1),(186,1)}
       157:{3,4,6,7}:{(123,1),(126,1),(186,1),(187,1),(220,1)}
       158:{1,2,4,5,7}:{(124,1),(127,1),(130,1),(174,1),(180,1),(185,1),(188,1),(211,1),(214,1),(228,1),(229,1),(230,1)}
       159:{1,2,4,6}:{(125,1),(128,1),(131,1),(175,1),(181,1),(186,1),(189,1),(212,1),(215,1),(220,1)}
       160:{1,2,5,7}:{(126,1),(129,1),(132,1),(187,1),(189,1),(228,1),(229,1)}
       161:{2,4,6,7}:{(127,1),(128,1),(133,1),(176,1),(190,1)}
       162:{2,5,6}:{(128,1),(129,1),(134,1)}
       163:{1,4,6,7}:{(130,1),(131,1),(133,1),(182,1),(191,1)}
       164:{1,5,6}:{(131,1),(132,1),(134,1)}
       165:{3,5,6,7}:{(133,1),(134,1),(190,1),(191,1),(192,1)}
       166:{4,5,6}:{(134,1),(135,1),(220,1)}
       167:{1,3,6}:{(136,1),(137,1),(193,1)}
       168:{1,2,4,7}:{(137,1),(138,1),(174,1),(193,1),(211,1)}
       169:{2,3,6}:{(139,1),(140,1),(194,1)}
       170:{1,2,4,7}:{(140,1),(141,1),(180,1),(194,1),(214,1)}
       171:{1,4,5}:{(142,1),(154,1),(195,1)}
       172:{1,3,5,6}:{(142,1),(144,1),(155,1),(167,1),(195,1),(197,1),(198,1),(222,1)}
       173:{1,3,5,7}:{(142,1),(143,1),(145,1),(156,1),(196,1),(198,1)}
       174:{1,2,5,7}:{(144,1),(146,1),(168,1),(197,1),(199,1)}
       175:{1,2,6}:{(145,1),(147,1),(198,1)}
       176:{2,3,6,7}:{(146,1),(147,1),(161,1),(199,1),(207,1)}
       177:{2,4,5}:{(148,1),(154,1),(200,1)}
       178:{2,3,5,6}:{(148,1),(150,1),(155,1),(169,1),(200,1),(202,1),(203,1),(224,1)}
       179:{2,3,5,7}:{(148,1),(149,1),(151,1),(156,1),(201,1),(203,1)}
       180:{1,2,5,7}:{(150,1),(152,1),(170,1),(202,1),(204,1)}
       181:{1,2,6}:{(151,1),(153,1),(203,1)}
       182:{1,3,6,7}:{(152,1),(153,1),(163,1),(204,1),(207,1)}
       183:{3,4,6}:{(154,1),(155,1),(195,1),(200,1),(205,1)}
       184:{3,4,5,7}:{(154,1),(156,1),(196,1),(201,1),(205,1),(206,1),(209,1),(225,1)}
       185:{3,5,7}:{(155,1),(158,1),(205,1),(207,1)}
       186:{3,6}:{(156,1),(159,1)}
       187:{3,5,7}:{(157,1),(160,1),(208,1),(209,1)}
       188:{1,2,4,6,7}:{(158,1),(159,1),(161,1),(163,1),(199,1),(204,1),(207,1),(210,1),(221,1),(223,1),(227,1)}
       189:{1,2,5,6}:{(159,1),(160,1),(162,1),(164,1),(208,1),(222,1),(224,1)}
       190:{2,5,6,7}:{(161,1),(162,1),(165,1)}
       191:{1,5,6,7}:{(163,1),(164,1),(165,1)}
       192:{4,5,6,7}:{(165,1),(166,1),(227,1)}
       193:{1,3,7}:{(167,1),(168,1)}
       194:{2,3,7}:{(169,1),(170,1)}
       195:{1,4,6}:{(171,1),(172,1),(183,1),(211,1)}
       196:{1,4,5,7}:{(171,1),(173,1),(184,1),(211,1),(212,1),(228,1)}
       197:{1,3,5,7}:{(172,1),(174,1),(185,1),(193,1),(211,1),(213,1),(228,1)}
       198:{1,3,6}:{(173,1),(175,1),(186,1),(212,1)}
       199:{1,2,6,7}:{(174,1),(175,1),(176,1),(213,1)}
       200:{2,4,6}:{(177,1),(178,1),(183,1),(214,1)}
       201:{2,4,5,7}:{(177,1),(179,1),(184,1),(214,1),(215,1),(229,1)}
       202:{2,3,5,7}:{(178,1),(180,1),(185,1),(194,1),(214,1),(216,1),(229,1)}
       203:{2,3,6}:{(179,1),(181,1),(186,1),(215,1)}
       204:{1,2,6,7}:{(180,1),(181,1),(182,1),(216,1)}
       205:{3,4,7}:{(183,1),(185,1),(211,1),(214,1)}
       206:{3,4,6}:{(184,1),(186,1),(212,1),(215,1),(218,1),(220,1)}
       207:{3,6,7}:{(185,1),(186,1),(188,1)}
       208:{3,5,6}:{(186,1),(187,1),(189,1),(220,1)}
       209:{4,5,7}:{(187,1),(220,1)}
       210:{1,2,5,6,7}:{(188,1),(189,1),(190,1),(191,1),(219,1),(228,1),(229,1)}
       211:{1,4,7}:{(195,1),(197,1),(205,1)}
       212:{1,4,6}:{(196,1),(198,1),(206,1),(222,1)}
       213:{1,3,6,7}:{(197,1),(198,1),(199,1),(207,1),(221,1)}
       214:{2,4,7}:{(200,1),(202,1),(205,1)}
       215:{2,4,6}:{(201,1),(203,1),(206,1),(224,1)}
       216:{2,3,6,7}:{(202,1),(203,1),(204,1),(207,1),(223,1)}
       217:{3,4,6,7}:{(205,1),(206,1),(207,1),(221,1),(223,1),(225,1),(227,1)}
       218:{3,5,6}:{(206,1),(222,1),(224,1),(225,1),(226,1)}
       219:{3,5,6,7}:{(207,1),(208,1),(210,1),(225,1),(227,1)}
       220:{4,6}:{(208,1),(209,1)}
       221:{1,4,6,7}:{(211,1),(212,1),(213,1),(217,1),(228,1)}
       222:{1,5,6}:{(212,1),(218,1),(228,1)}
       223:{2,4,6,7}:{(214,1),(215,1),(216,1),(217,1),(229,1)}
       224:{2,5,6}:{(215,1),(218,1),(229,1)}
       225:{3,5,7}:{(217,1),(218,1),(228,1),(229,1),(230,1)}
       226:{4,5,6}:{(218,1),(220,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(225,1)}
       229:{2,5,7}:{(223,1),(224,1),(225,1)}
       230:{4,5,7}:{(225,1),(226,1),(227,1)}

1015 :  0:{1,2,6,7}:{(3,1),(5,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(38,1),(39,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(17,1),(23,1),(24,1),(25,1),(38,1),(39,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{3,5,6}:{(1,1),(9,1),(10,1),(12,1),(26,1),(28,1),(45,1)}
        5:{1,2,5,7}:{(0,1),(1,1),(9,1),(11,1),(46,1),(47,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(12,1),(30,1),(31,1),(34,1)}
        7:{3,5}:{(2,1),(12,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(18,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(18,1),(20,1)}
       10:{4,6}:{(4,1),(17,1),(18,1)}
       11:{1,2,4,7}:{(5,1),(6,1),(18,1),(20,1),(40,1),(41,1),(43,1)}
       12:{3,6}:{(6,1),(7,1),(20,1)}
       13:{3,4}:{(7,1),(23,1),(24,1),(44,1)}
       14:{1,3,5}:{(7,1),(21,1),(23,1),(25,1),(38,1),(44,1),(54,1)}
       15:{2,3,5}:{(7,1),(22,1),(24,1),(25,1),(39,1),(44,1),(54,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,5}:{(10,1),(28,1),(58,1)}
       18:{4,7}:{(9,1),(10,1)}
       19:{3,4,6}:{(10,1),(12,1),(13,1),(28,1),(29,1),(30,1),(31,1),(45,1),(50,1),(58,1),(61,1)}
       20:{3,7}:{(11,1),(12,1)}
       21:{1,3,6}:{(12,1),(14,1),(30,1),(32,1),(34,1),(50,1)}
       22:{2,3,6}:{(12,1),(15,1),(31,1),(33,1),(34,1),(50,1)}
       23:{1,4}:{(13,1),(14,1),(58,1)}
       24:{2,4}:{(13,1),(15,1),(58,1)}
       25:{1,2,5}:{(14,1),(15,1),(34,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(18,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,5}:{(17,1),(19,1),(38,1),(39,1),(62,1)}
       29:{3,4,7}:{(18,1),(19,1),(20,1),(37,1),(40,1),(41,1),(55,1),(60,1)}
       30:{1,4,6}:{(19,1),(21,1),(23,1),(38,1),(40,1),(51,1)}
       31:{2,4,6}:{(19,1),(22,1),(24,1),(39,1),(41,1),(52,1)}
       32:{1,3,7}:{(20,1),(21,1),(40,1),(43,1),(55,1)}
       33:{2,3,7}:{(20,1),(22,1),(41,1),(43,1),(55,1)}
       34:{1,2,6}:{(21,1),(22,1),(25,1),(43,1)}
       35:{1,2,4}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(45,1),(46,1),(47,1)}
       38:{1,5}:{(28,1),(30,1)}
       39:{2,5}:{(28,1),(31,1)}
       40:{1,4,7}:{(29,1),(30,1),(32,1),(46,1)}
       41:{2,4,7}:{(29,1),(31,1),(33,1),(47,1)}
       42:{1,2,4,6}:{(30,1),(31,1),(34,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       43:{1,2,7}:{(32,1),(33,1),(34,1)}
       44:{3}:{(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(40,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(41,1),(52,1)}
       48:{1,2,5}:{(38,1),(39,1),(42,1),(54,1),(62,1)}
       49:{1,2,4,7}:{(40,1),(41,1),(42,1),(43,1),(53,1),(55,1),(60,1)}
       50:{3,6}:{(42,1),(44,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,5}:{(48,1),(50,1),(58,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(54,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

1016 :   0:{3,5,6,7}:{(2,1),(3,1),(4,1),(28,1),(30,1),(31,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(8,1),(31,1),(43,1),(44,1),(48,1),(82,1),(86,1),(146,1),(156,1)}
         2:{1,5,6,7}:{(0,1),(11,1),(56,1),(58,1)}
         3:{2,5,6,7}:{(0,1),(12,1),(54,1),(59,1)}
         4:{4,6,7}:{(0,1),(13,1)}
         5:{4,5,6}:{(13,1),(19,1),(128,1)}
         6:{3,4,6}:{(1,1),(19,1),(20,1),(21,1),(72,1),(128,1)}
         7:{1,4,5,7}:{(1,1),(16,1),(20,1),(58,1),(74,1),(78,1),(110,1),(114,1)}
         8:{2,4,5,7}:{(1,1),(18,1),(21,1),(59,1),(75,1),(79,1),(111,1),(115,1)}
         9:{1,3,4,7}:{(16,1),(23,1),(24,1),(73,1),(110,1),(130,1),(164,1),(196,1)}
        10:{2,3,4,7}:{(18,1),(25,1),(26,1),(73,1),(115,1),(131,1),(168,1),(199,1)}
        11:{1,4,6,7}:{(2,1),(4,1),(27,1),(28,1)}
        12:{2,4,6,7}:{(3,1),(4,1),(29,1),(30,1)}
        13:{4,5,7}:{(4,1),(5,1),(31,1),(146,1)}
        14:{3,4,6,7}:{(4,1),(6,1),(28,1),(30,1),(31,1),(32,1),(33,1),(82,1),(86,1),(91,1),(146,1)}
        15:{1,4,5,6}:{(5,1),(27,1),(34,1),(40,1),(92,1)}
        16:{1,3,5,7}:{(7,1),(9,1),(35,1),(36,1),(43,1),(45,1),(107,1),(142,1),(204,1)}
        17:{2,4,5,6}:{(5,1),(29,1),(37,1),(41,1),(98,1)}
        18:{2,3,5,7}:{(8,1),(10,1),(38,1),(39,1),(43,1),(49,1),(104,1),(138,1),(206,1)}
        19:{3,5,6}:{(5,1),(6,1),(31,1),(40,1),(41,1)}
        20:{1,4,6}:{(6,1),(7,1),(35,1),(40,1)}
        21:{2,4,6}:{(6,1),(8,1),(38,1),(41,1)}
        22:{1,2,4,5,7}:{(7,1),(8,1),(36,1),(39,1),(42,1),(43,1),(90,1),(96,1),(101,1),(105,1),(108,1),(139,1),(143,1),(146,1),(151,1),(155,1),(156,1),(185,1),(189,1),(204,1),(206,1)}
        23:{1,3,4,6}:{(9,1),(35,1),(45,1),(46,1),(92,1),(103,1),(149,1),(160,1),(192,1)}
        24:{1,2,4,7}:{(9,1),(36,1),(46,1),(47,1),(96,1),(157,1)}
        25:{2,3,4,6}:{(10,1),(38,1),(49,1),(50,1),(98,1),(103,1),(153,1),(162,1),(194,1)}
        26:{1,2,4,7}:{(10,1),(39,1),(50,1),(51,1),(101,1),(158,1)}
        27:{1,4,5,7}:{(11,1),(13,1),(15,1),(52,1),(58,1),(110,1)}
        28:{3,6,7}:{(11,1),(52,1),(54,1)}
        29:{2,4,5,7}:{(12,1),(13,1),(17,1),(55,1),(59,1),(115,1)}
        30:{3,6,7}:{(12,1),(55,1),(56,1)}
        31:{3,5,7}:{(13,1),(14,1),(19,1),(58,1),(59,1)}
        32:{1,4,6,7}:{(14,1),(20,1),(53,1),(56,1),(58,1),(110,1),(114,1)}
        33:{2,4,6,7}:{(14,1),(21,1),(54,1),(57,1),(59,1),(111,1),(115,1)}
        34:{3,5,6}:{(15,1),(52,1),(61,1),(63,1)}
        35:{1,3,6}:{(16,1),(20,1),(64,1),(72,1),(208,1)}
        36:{1,2,5,7}:{(16,1),(24,1),(64,1),(65,1),(76,1),(135,1),(167,1)}
        37:{3,5,6}:{(17,1),(55,1),(66,1),(67,1)}
        38:{2,3,6}:{(18,1),(21,1),(69,1),(72,1),(209,1)}
        39:{1,2,5,7}:{(18,1),(26,1),(69,1),(70,1),(80,1),(132,1),(163,1)}
        40:{1,5,6}:{(19,1),(20,1),(58,1)}
        41:{2,5,6}:{(19,1),(21,1),(59,1)}
        42:{1,2,4,6}:{(20,1),(21,1),(22,1),(64,1),(69,1),(71,1),(72,1),(123,1),(127,1),(128,1),(198,1),(201,1),(208,1),(209,1)}
        43:{3,5,7}:{(22,1),(72,1),(73,1),(129,1),(133,1),(136,1),(164,1),(168,1)}
        44:{3,4,5}:{(61,1),(74,1),(75,1),(133,1)}
        45:{1,3,5}:{(23,1),(74,1),(76,1),(129,1),(133,1),(202,1)}
        46:{1,2,4,6}:{(23,1),(24,1),(64,1),(76,1),(77,1),(123,1),(134,1)}
        47:{2,3,7}:{(24,1),(77,1),(164,1),(179,1)}
        48:{3,4,5}:{(66,1),(78,1),(79,1),(136,1)}
        49:{2,3,5}:{(25,1),(79,1),(80,1),(129,1),(136,1),(203,1)}
        50:{1,2,4,6}:{(25,1),(26,1),(69,1),(80,1),(81,1),(127,1),(137,1)}
        51:{1,3,7}:{(26,1),(81,1),(168,1),(180,1)}
        52:{3,5,7}:{(27,1),(28,1),(34,1),(82,1),(84,1)}
        53:{1,3,6,7}:{(28,1),(32,1),(35,1),(83,1),(85,1),(91,1),(142,1)}
        54:{2,6,7}:{(28,1),(84,1)}
        55:{3,5,7}:{(29,1),(30,1),(37,1),(86,1),(87,1)}
        56:{1,6,7}:{(30,1),(87,1)}
        57:{2,3,6,7}:{(30,1),(33,1),(38,1),(88,1),(89,1),(91,1),(138,1)}
        58:{1,5,7}:{(31,1),(32,1),(40,1)}
        59:{2,5,7}:{(31,1),(33,1),(41,1)}
        60:{1,2,4,6,7}:{(32,1),(33,1),(42,1),(85,1),(89,1),(90,1),(91,1),(139,1),(141,1),(143,1),(145,1),(146,1)}
        61:{3,4,6}:{(34,1),(44,1),(82,1),(92,1),(93,1),(149,1)}
        62:{1,3,5,6}:{(34,1),(35,1),(40,1),(45,1),(83,1),(92,1),(94,1),(102,1),(149,1)}
        63:{2,5,6}:{(34,1),(84,1),(93,1)}
        64:{1,2,6}:{(35,1),(36,1),(95,1)}
        65:{2,3,5,7}:{(36,1),(43,1),(47,1),(95,1),(96,1),(106,1),(151,1),(161,1),(187,1),(206,1)}
        66:{3,4,6}:{(37,1),(48,1),(86,1),(97,1),(98,1),(153,1)}
        67:{1,5,6}:{(37,1),(87,1),(97,1)}
        68:{2,3,5,6}:{(37,1),(38,1),(41,1),(49,1),(88,1),(98,1),(99,1),(102,1),(153,1)}
        69:{1,2,6}:{(38,1),(39,1),(100,1)}
        70:{1,3,5,7}:{(39,1),(43,1),(51,1),(100,1),(101,1),(109,1),(155,1),(159,1),(183,1),(204,1)}
        71:{1,2,5,6}:{(40,1),(41,1),(42,1),(90,1),(102,1),(151,1),(155,1),(186,1),(190,1)}
        72:{3,6}:{(42,1),(43,1)}
        73:{3,4,7}:{(43,1),(96,1),(101,1),(103,1),(146,1),(160,1),(162,1)}
        74:{1,4,5}:{(44,1),(45,1),(92,1),(156,1)}
        75:{2,4,5}:{(44,1),(93,1),(104,1)}
        76:{1,2,5}:{(45,1),(46,1),(106,1),(151,1)}
        77:{2,3,6}:{(46,1),(47,1),(106,1),(149,1)}
        78:{1,4,5}:{(48,1),(97,1),(107,1)}
        79:{2,4,5}:{(48,1),(49,1),(98,1),(156,1)}
        80:{1,2,5}:{(49,1),(50,1),(109,1),(155,1)}
        81:{1,3,6}:{(50,1),(51,1),(109,1),(153,1)}
        82:{3,4,7}:{(52,1),(61,1),(110,1),(111,1),(164,1)}
        83:{1,3,5,7}:{(52,1),(53,1),(58,1),(62,1),(110,1),(112,1),(118,1),(164,1)}
        84:{2,5,7}:{(52,1),(54,1),(63,1),(111,1)}
        85:{1,2,6,7}:{(53,1),(54,1),(64,1),(112,1),(113,1),(167,1),(208,1)}
        86:{3,4,7}:{(55,1),(66,1),(114,1),(115,1),(168,1)}
        87:{1,5,7}:{(55,1),(56,1),(67,1),(114,1)}
        88:{2,3,5,7}:{(55,1),(57,1),(59,1),(68,1),(115,1),(116,1),(118,1),(168,1)}
        89:{1,2,6,7}:{(56,1),(57,1),(69,1),(116,1),(117,1),(163,1),(209,1)}
        90:{1,2,5,7}:{(58,1),(59,1),(60,1),(71,1),(118,1),(166,1),(170,1)}
        91:{3,6,7}:{(60,1),(72,1),(118,1),(164,1),(168,1)}
        92:{1,4,6}:{(61,1),(62,1),(74,1),(110,1),(128,1)}
        93:{2,4,6}:{(61,1),(63,1),(75,1),(111,1),(120,1)}
        94:{1,2,5,6}:{(62,1),(63,1),(64,1),(76,1),(112,1),(121,1),(122,1),(202,1),(208,1)}
        95:{2,3,6}:{(64,1),(65,1),(72,1),(123,1),(209,1)}
        96:{2,4,7}:{(65,1),(73,1),(123,1),(134,1),(182,1)}
        97:{1,4,6}:{(66,1),(67,1),(78,1),(114,1),(124,1)}
        98:{2,4,6}:{(66,1),(68,1),(79,1),(115,1),(128,1)}
        99:{1,2,5,6}:{(67,1),(68,1),(69,1),(80,1),(116,1),(125,1),(126,1),(203,1),(209,1)}
       100:{1,3,6}:{(69,1),(70,1),(72,1),(127,1),(208,1)}
       101:{1,4,7}:{(70,1),(73,1),(127,1),(137,1),(181,1)}
       102:{3,5,6}:{(71,1),(72,1),(118,1),(128,1),(129,1)}
       103:{3,4,6}:{(72,1),(73,1),(123,1),(127,1),(128,1),(129,1)}
       104:{2,3,5}:{(75,1),(120,1),(131,1),(132,1),(133,1)}
       105:{1,2,4,5}:{(74,1),(75,1),(76,1),(121,1),(132,1),(133,1),(134,1),(175,1),(181,1),(202,1)}
       106:{2,3,5}:{(76,1),(77,1),(133,1),(134,1)}
       107:{1,3,5}:{(78,1),(124,1),(130,1),(135,1),(136,1)}
       108:{1,2,4,5}:{(78,1),(79,1),(80,1),(125,1),(135,1),(136,1),(137,1),(178,1),(182,1),(203,1)}
       109:{1,3,5}:{(80,1),(81,1),(136,1),(137,1)}
       110:{1,4,7}:{(82,1),(83,1),(92,1),(146,1)}
       111:{2,4,7}:{(82,1),(84,1),(93,1),(138,1)}
       112:{1,2,5,7}:{(83,1),(84,1),(85,1),(94,1),(139,1),(140,1),(204,1)}
       113:{2,3,6,7}:{(85,1),(91,1),(95,1),(140,1),(141,1),(187,1),(205,1)}
       114:{1,4,7}:{(86,1),(87,1),(97,1),(142,1)}
       115:{2,4,7}:{(86,1),(88,1),(98,1),(146,1)}
       116:{1,2,5,7}:{(87,1),(88,1),(89,1),(99,1),(143,1),(144,1),(206,1)}
       117:{1,3,6,7}:{(89,1),(91,1),(100,1),(144,1),(145,1),(183,1),(207,1)}
       118:{3,5,7}:{(90,1),(91,1),(102,1),(146,1)}
       119:{3,4,6,7}:{(91,1),(103,1),(141,1),(145,1),(146,1),(147,1),(184,1),(188,1),(191,1),(205,1),(207,1)}
       120:{2,3,6}:{(93,1),(104,1),(138,1),(148,1),(149,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(94,1),(105,1),(139,1),(148,1),(149,1),(150,1),(192,1)}
       122:{2,3,5,6}:{(94,1),(95,1),(102,1),(106,1),(140,1),(149,1),(150,1),(151,1),(186,1),(193,1),(205,1)}
       123:{2,4,6}:{(95,1),(96,1),(103,1),(151,1)}
       124:{1,3,6}:{(97,1),(107,1),(142,1),(152,1),(153,1)}
       125:{1,2,4,6}:{(97,1),(98,1),(99,1),(108,1),(143,1),(152,1),(153,1),(154,1),(194,1)}
       126:{1,3,5,6}:{(99,1),(100,1),(102,1),(109,1),(144,1),(153,1),(154,1),(155,1),(190,1),(195,1),(207,1)}
       127:{1,4,6}:{(100,1),(101,1),(103,1),(155,1)}
       128:{4,6}:{(102,1),(146,1),(156,1)}
       129:{3,5}:{(103,1),(151,1),(155,1),(156,1)}
       130:{1,3,4}:{(107,1),(157,1),(162,1)}
       131:{2,3,4}:{(104,1),(158,1),(160,1)}
       132:{1,2,5}:{(104,1),(148,1),(158,1),(159,1)}
       133:{3,5}:{(105,1),(149,1),(160,1)}
       134:{2,4}:{(106,1),(160,1)}
       135:{1,2,5}:{(107,1),(152,1),(157,1),(161,1)}
       136:{3,5}:{(108,1),(153,1),(162,1)}
       137:{1,4}:{(109,1),(162,1)}
       138:{2,3,7}:{(111,1),(120,1),(163,1),(164,1)}
       139:{1,2,4,7}:{(110,1),(111,1),(112,1),(121,1),(163,1),(164,1),(165,1),(196,1)}
       140:{2,3,5,7}:{(112,1),(113,1),(118,1),(122,1),(164,1),(165,1),(166,1),(197,1)}
       141:{2,4,6,7}:{(113,1),(119,1),(123,1),(165,1),(166,1),(198,1),(199,1),(209,1)}
       142:{1,3,7}:{(114,1),(124,1),(167,1),(168,1)}
       143:{1,2,4,7}:{(114,1),(115,1),(116,1),(125,1),(167,1),(168,1),(169,1),(199,1)}
       144:{1,3,5,7}:{(116,1),(117,1),(118,1),(126,1),(168,1),(169,1),(170,1),(200,1)}
       145:{1,4,6,7}:{(117,1),(119,1),(127,1),(169,1),(170,1),(196,1),(201,1),(208,1)}
       146:{4,7}:{(118,1),(128,1)}
       147:{3,5,7}:{(119,1),(129,1),(166,1),(170,1),(171,1),(172,1)}
       148:{1,2,6}:{(120,1),(132,1),(163,1),(173,1)}
       149:{3,6}:{(121,1),(133,1),(164,1)}
       150:{2,4,6}:{(122,1),(128,1),(134,1),(165,1),(174,1),(175,1)}
       151:{2,5}:{(123,1),(129,1)}
       152:{1,2,6}:{(124,1),(135,1),(167,1),(176,1)}
       153:{3,6}:{(125,1),(136,1),(168,1)}
       154:{1,4,6}:{(126,1),(128,1),(137,1),(169,1),(177,1),(178,1)}
       155:{1,5}:{(127,1),(129,1)}
       156:{4,5}:{(128,1),(129,1)}
       157:{1,2,4}:{(130,1),(135,1),(179,1),(182,1)}
       158:{1,2,4}:{(131,1),(132,1),(180,1),(181,1)}
       159:{1,3,5}:{(132,1),(133,1),(173,1),(180,1),(181,1),(202,1)}
       160:{3,4}:{(133,1),(134,1),(181,1)}
       161:{2,3,5}:{(135,1),(136,1),(176,1),(179,1),(182,1),(203,1)}
       162:{3,4}:{(136,1),(137,1),(182,1)}
       163:{1,2,7}:{(138,1),(148,1),(183,1)}
       164:{3,7}:{(139,1),(149,1)}
       165:{2,4,7}:{(140,1),(146,1),(150,1),(184,1)}
       166:{2,5,7}:{(141,1),(147,1),(151,1),(186,1)}
       167:{1,2,7}:{(142,1),(152,1),(187,1)}
       168:{3,7}:{(143,1),(153,1)}
       169:{1,4,7}:{(144,1),(146,1),(154,1),(188,1)}
       170:{1,5,7}:{(145,1),(147,1),(155,1),(190,1)}
       171:{4,5,7}:{(146,1),(147,1),(156,1),(191,1)}
       172:{3,5,6}:{(147,1),(186,1),(190,1),(191,1),(205,1),(207,1)}
       173:{1,3,6}:{(148,1),(149,1),(159,1),(183,1),(192,1)}
       174:{3,4,6}:{(149,1),(150,1),(160,1),(184,1),(192,1),(193,1),(205,1)}
       175:{2,4,5}:{(150,1),(151,1),(156,1),(193,1)}
       176:{2,3,6}:{(152,1),(153,1),(161,1),(187,1),(194,1)}
       177:{3,4,6}:{(153,1),(154,1),(162,1),(188,1),(194,1),(195,1),(207,1)}
       178:{1,4,5}:{(154,1),(155,1),(156,1),(195,1)}
       179:{2,3}:{(157,1)}
       180:{1,3}:{(158,1)}
       181:{1,4}:{(159,1),(160,1)}
       182:{2,4}:{(161,1),(162,1)}
       183:{1,3,7}:{(163,1),(164,1),(173,1),(196,1)}
       184:{3,4,7}:{(164,1),(165,1),(174,1),(196,1),(197,1)}
       185:{2,4,5,7}:{(165,1),(166,1),(171,1),(175,1),(197,1),(198,1)}
       186:{2,5,6}:{(166,1),(172,1),(198,1),(209,1)}
       187:{2,3,7}:{(167,1),(168,1),(176,1),(199,1)}
       188:{3,4,7}:{(168,1),(169,1),(177,1),(199,1),(200,1)}
       189:{1,4,5,7}:{(169,1),(170,1),(171,1),(178,1),(200,1),(201,1)}
       190:{1,5,6}:{(170,1),(172,1),(201,1),(208,1)}
       191:{4,6}:{(171,1),(172,1)}
       192:{1,4,6}:{(173,1),(174,1),(181,1),(196,1),(202,1),(208,1)}
       193:{3,5}:{(174,1),(175,1),(202,1)}
       194:{2,4,6}:{(176,1),(177,1),(182,1),(199,1),(203,1),(209,1)}
       195:{3,5}:{(177,1),(178,1),(203,1)}
       196:{1,4,7}:{(183,1),(184,1),(192,1),(204,1)}
       197:{3,5,7}:{(184,1),(185,1),(193,1),(204,1),(205,1)}
       198:{2,4,6}:{(185,1),(186,1),(191,1),(205,1)}
       199:{2,4,7}:{(187,1),(188,1),(194,1),(206,1)}
       200:{3,5,7}:{(188,1),(189,1),(195,1),(206,1),(207,1)}
       201:{1,4,6}:{(189,1),(190,1),(191,1),(207,1)}
       202:{1,5}:{(192,1),(193,1)}
       203:{2,5}:{(194,1),(195,1)}
       204:{1,5,7}:{(196,1),(197,1),(202,1),(208,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{2,5,7}:{(199,1),(200,1),(203,1),(209,1)}
       207:{3,6}:{(200,1),(201,1),(209,1)}
       208:{1,6}:{(204,1),(205,1)}
       209:{2,6}:{(206,1),(207,1)}

1017 :   0:{1,2,4,5,7}:{(1,1),(2,1),(10,1),(11,1),(12,1),(14,1),(36,1),(39,1),(40,1),(41,1),(65,1),(66,1),(67,1),(71,1),(99,1),(100,1)}
         1:{3,5,7}:{(0,1),(4,1),(7,1),(25,1),(84,1),(88,1)}
         2:{1,2,4,6}:{(0,1),(7,1),(8,1),(23,1),(24,1),(26,1),(29,1),(78,1),(79,1),(109,1),(110,1)}
         3:{1,2,4,6,7}:{(2,1),(9,1),(10,1),(30,1),(31,1),(33,1),(36,1),(67,1),(134,1)}
         4:{3,4,7}:{(1,1),(11,1),(12,1),(13,1),(36,1),(37,1),(103,1)}
         5:{1,3,5,7}:{(1,1),(11,1),(14,1),(15,1),(37,1),(39,1),(70,1),(100,1),(101,1),(104,1)}
         6:{2,3,5,7}:{(1,1),(12,1),(14,1),(16,1),(37,1),(40,1),(70,1),(99,1),(102,1),(105,1)}
         7:{3,6}:{(1,1),(2,1)}
         8:{1,2,5,6}:{(2,1),(10,1),(17,1),(39,1),(40,1),(60,1),(61,1)}
         9:{3,6,7}:{(3,1),(7,1),(21,1),(84,1),(137,1)}
        10:{1,2,5,7}:{(3,1),(8,1),(21,1),(47,1),(48,1),(136,1)}
        11:{1,4,7}:{(4,1),(5,1),(23,1),(87,1),(115,1)}
        12:{2,4,7}:{(4,1),(6,1),(24,1),(87,1),(116,1)}
        13:{3,4,6}:{(4,1),(7,1),(23,1),(24,1),(25,1),(29,1),(53,1),(87,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(22,1),(26,1),(54,1),(114,1),(117,1)}
        15:{1,3,6}:{(5,1),(7,1),(23,1),(26,1),(53,1),(110,1)}
        16:{2,3,6}:{(6,1),(7,1),(24,1),(26,1),(53,1),(109,1)}
        17:{3,5,6}:{(7,1),(8,1),(21,1),(25,1),(29,1)}
        18:{3,4,6,7}:{(9,1),(13,1),(30,1),(31,1),(32,1),(36,1),(62,1),(63,1),(68,1),(69,1),(95,1),(96,1),(97,1),(119,1)}
        19:{1,3,6,7}:{(9,1),(15,1),(30,1),(33,1),(34,1),(63,1),(95,1),(101,1),(120,1)}
        20:{2,3,6,7}:{(9,1),(16,1),(31,1),(33,1),(35,1),(63,1),(96,1),(102,1),(121,1)}
        21:{3,5,7}:{(9,1),(10,1),(17,1),(36,1),(138,1)}
        22:{1,2,4,7}:{(11,1),(12,1),(14,1),(37,1),(38,1),(125,1)}
        23:{1,4,6}:{(11,1),(13,1),(15,1),(39,1)}
        24:{2,4,6}:{(12,1),(13,1),(16,1),(40,1)}
        25:{3,5}:{(13,1),(39,1),(40,1),(41,1)}
        26:{1,2,6}:{(14,1),(15,1),(16,1)}
        27:{1,3,5,6}:{(15,1),(17,1),(34,1),(39,1),(42,1),(43,1),(60,1),(70,1),(72,1),(74,1),(93,1),(95,1),(104,1),(120,1),(132,1),(138,1)}
        28:{2,3,5,6}:{(16,1),(17,1),(35,1),(40,1),(42,1),(44,1),(61,1),(70,1),(73,1),(74,1),(93,1),(96,1),(105,1),(121,1),(133,1),(138,1)}
        29:{4,6}:{(17,1),(36,1),(41,1)}
        30:{1,4,6,7}:{(18,1),(19,1),(23,1),(47,1),(51,1),(78,1),(86,1),(110,1),(127,1)}
        31:{2,4,6,7}:{(18,1),(20,1),(24,1),(48,1),(52,1),(79,1),(85,1),(109,1),(128,1)}
        32:{3,5,7}:{(18,1),(25,1),(45,1),(47,1),(48,1),(49,1),(126,1)}
        33:{1,2,6,7}:{(19,1),(20,1),(26,1),(50,1),(109,1),(110,1),(114,1),(129,1)}
        34:{1,3,5,7}:{(19,1),(21,1),(27,1),(47,1),(50,1),(51,1),(80,1),(82,1),(84,1)}
        35:{2,3,5,7}:{(20,1),(21,1),(28,1),(48,1),(50,1),(52,1),(80,1),(83,1),(84,1)}
        36:{4,7}:{(21,1),(29,1),(139,1)}
        37:{3,7}:{(22,1),(53,1),(131,1)}
        38:{1,2,4,6}:{(22,1),(23,1),(24,1),(26,1),(53,1),(54,1),(87,1)}
        39:{1,5}:{(23,1),(25,1)}
        40:{2,5}:{(24,1),(25,1)}
        41:{4,5}:{(25,1),(29,1),(87,1)}
        42:{1,2,5,6}:{(26,1),(27,1),(28,1),(50,1),(54,1),(57,1),(89,1),(90,1),(109,1),(110,1),(117,1),(129,1),(136,1)}
        43:{1,4,6}:{(27,1),(29,1),(51,1),(55,1),(58,1),(87,1),(107,1),(115,1),(139,1)}
        44:{2,4,6}:{(28,1),(29,1),(52,1),(56,1),(59,1),(87,1),(107,1),(116,1),(139,1)}
        45:{3,5,6}:{(32,1),(60,1),(61,1),(62,1),(95,1),(96,1)}
        46:{1,2,4,6,7}:{(30,1),(31,1),(33,1),(38,1),(63,1),(64,1),(67,1),(94,1),(97,1)}
        47:{1,5,7}:{(30,1),(32,1),(39,1),(60,1),(132,1)}
        48:{2,5,7}:{(31,1),(32,1),(40,1),(61,1),(133,1)}
        49:{4,5,7}:{(32,1),(36,1),(41,1),(62,1),(97,1),(118,1)}
        50:{1,2,5,7}:{(33,1),(34,1),(35,1),(42,1),(67,1),(99,1),(100,1)}
        51:{1,4,7}:{(34,1),(36,1),(43,1),(68,1),(97,1)}
        52:{2,4,7}:{(35,1),(36,1),(44,1),(69,1),(97,1)}
        53:{3,6}:{(37,1),(38,1),(70,1)}
        54:{1,2,5}:{(38,1),(39,1),(40,1),(70,1)}
        55:{1,4,5}:{(39,1),(41,1),(43,1),(72,1),(118,1),(132,1)}
        56:{2,4,5}:{(40,1),(41,1),(44,1),(73,1),(118,1),(133,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(44,1),(67,1),(71,1),(74,1),(75,1),(76,1),(106,1),(125,1)}
        58:{3,4,6}:{(43,1),(68,1),(72,1),(74,1),(75,1),(95,1),(103,1)}
        59:{3,4,6}:{(44,1),(69,1),(73,1),(74,1),(76,1),(96,1),(103,1)}
        60:{1,5,6}:{(45,1),(47,1),(78,1),(110,1)}
        61:{2,5,6}:{(45,1),(48,1),(79,1),(109,1)}
        62:{4,6}:{(45,1),(49,1)}
        63:{3,6,7}:{(46,1),(53,1),(80,1),(84,1),(108,1)}
        64:{1,2,5,7}:{(46,1),(47,1),(48,1),(54,1),(77,1),(80,1)}
        65:{1,4,5,7}:{(47,1),(49,1),(51,1),(55,1),(78,1),(82,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(52,1),(56,1),(79,1),(83,1)}
        67:{1,2,4,7}:{(50,1),(51,1),(52,1),(57,1),(84,1),(85,1),(86,1),(114,1)}
        68:{3,4,7}:{(51,1),(58,1),(82,1),(84,1),(85,1)}
        69:{3,4,7}:{(52,1),(59,1),(83,1),(84,1),(86,1)}
        70:{3,5}:{(53,1),(54,1),(87,1)}
        71:{1,2,4,5}:{(54,1),(55,1),(56,1),(57,1),(87,1),(88,1),(89,1),(90,1),(115,1),(116,1),(117,1),(136,1),(139,1)}
        72:{3,5}:{(55,1),(58,1),(89,1)}
        73:{3,5}:{(56,1),(59,1),(90,1)}
        74:{3,6}:{(57,1),(84,1),(88,1),(131,1)}
        75:{2,4,6}:{(58,1),(85,1),(89,1),(92,1),(109,1),(116,1)}
        76:{1,4,6}:{(59,1),(86,1),(90,1),(91,1),(110,1),(115,1)}
        77:{1,2,5,6}:{(60,1),(61,1),(64,1),(93,1),(94,1),(132,1),(133,1)}
        78:{1,4,6}:{(60,1),(62,1),(65,1),(95,1)}
        79:{2,4,6}:{(61,1),(62,1),(66,1),(96,1)}
        80:{3,5,7}:{(63,1),(64,1),(70,1),(93,1),(97,1)}
        81:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(67,1),(71,1),(94,1),(97,1),(98,1),(99,1),(100,1),(118,1),(122,1),(123,1),(124,1),(132,1),(133,1)}
        82:{3,5,7}:{(65,1),(68,1),(72,1),(95,1),(99,1)}
        83:{3,5,7}:{(66,1),(69,1),(73,1),(96,1),(100,1)}
        84:{3,7}:{(67,1),(74,1)}
        85:{2,4,7}:{(68,1),(75,1),(99,1),(102,1)}
        86:{1,4,7}:{(69,1),(76,1),(100,1),(101,1)}
        87:{4}:{(70,1)}
        88:{3,5}:{(71,1),(74,1),(103,1)}
        89:{2,5}:{(72,1),(75,1)}
        90:{1,5}:{(73,1),(76,1)}
        91:{1,3,6}:{(74,1),(76,1),(101,1),(104,1),(106,1)}
        92:{2,3,6}:{(74,1),(75,1),(102,1),(105,1),(106,1)}
        93:{3,5,6}:{(77,1),(80,1),(107,1),(108,1),(126,1)}
        94:{1,2,4,6}:{(77,1),(78,1),(79,1),(81,1),(107,1),(108,1),(109,1),(110,1),(127,1),(128,1),(129,1)}
        95:{3,6}:{(78,1),(82,1),(109,1)}
        96:{3,6}:{(79,1),(83,1),(110,1)}
        97:{4,7}:{(80,1),(87,1),(107,1)}
        98:{3,5,7}:{(81,1),(84,1),(88,1),(108,1),(111,1),(126,1)}
        99:{2,5,7}:{(82,1),(85,1),(89,1),(109,1)}
       100:{1,5,7}:{(83,1),(86,1),(90,1),(110,1)}
       101:{1,3,7}:{(84,1),(86,1),(91,1),(114,1)}
       102:{2,3,7}:{(84,1),(85,1),(92,1),(114,1)}
       103:{3,4}:{(87,1),(88,1),(115,1),(116,1),(131,1),(139,1)}
       104:{1,3,5}:{(88,1),(90,1),(91,1),(115,1),(117,1),(131,1)}
       105:{2,3,5}:{(88,1),(89,1),(92,1),(116,1),(117,1),(131,1)}
       106:{1,2,6}:{(91,1),(92,1),(114,1),(117,1)}
       107:{4,6}:{(93,1),(97,1),(118,1)}
       108:{3,6}:{(94,1),(98,1)}
       109:{2,6}:{(95,1),(99,1)}
       110:{1,6}:{(96,1),(100,1)}
       111:{3,4,7}:{(97,1),(98,1),(103,1),(119,1),(122,1),(123,1),(135,1)}
       112:{1,3,5,7}:{(98,1),(100,1),(101,1),(104,1),(120,1),(122,1),(124,1),(132,1),(135,1),(138,1)}
       113:{2,3,5,7}:{(98,1),(99,1),(102,1),(105,1),(121,1),(123,1),(124,1),(133,1),(135,1),(138,1)}
       114:{1,2,7}:{(101,1),(102,1),(106,1)}
       115:{1,4}:{(103,1),(104,1)}
       116:{2,4}:{(103,1),(105,1)}
       117:{1,2,5}:{(104,1),(105,1),(106,1),(125,1)}
       118:{4,5}:{(107,1),(126,1),(139,1)}
       119:{3,4,6}:{(107,1),(108,1),(111,1),(126,1),(127,1),(128,1),(137,1),(139,1)}
       120:{1,3,6}:{(108,1),(110,1),(112,1),(127,1),(129,1),(137,1)}
       121:{2,3,6}:{(108,1),(109,1),(113,1),(128,1),(129,1),(137,1)}
       122:{1,4,7}:{(111,1),(112,1),(115,1),(127,1),(139,1)}
       123:{2,4,7}:{(111,1),(113,1),(116,1),(128,1),(139,1)}
       124:{1,2,5,7}:{(112,1),(113,1),(114,1),(117,1),(129,1),(130,1),(136,1)}
       125:{1,2,4}:{(115,1),(116,1),(117,1),(131,1)}
       126:{3,5}:{(118,1),(119,1),(132,1),(133,1)}
       127:{1,4,6}:{(119,1),(120,1),(122,1),(132,1)}
       128:{2,4,6}:{(119,1),(121,1),(123,1),(133,1)}
       129:{1,2,6}:{(120,1),(121,1),(124,1)}
       130:{1,2,4,7}:{(122,1),(123,1),(124,1),(125,1),(134,1),(135,1)}
       131:{3}:{(125,1)}
       132:{1,5}:{(126,1),(127,1)}
       133:{2,5}:{(126,1),(128,1)}
       134:{1,2,4,6}:{(127,1),(128,1),(129,1),(130,1),(136,1),(137,1),(139,1)}
       135:{3,7}:{(130,1),(131,1),(137,1)}
       136:{1,2,5}:{(132,1),(133,1),(134,1),(138,1)}
       137:{3,6}:{(134,1),(135,1),(138,1)}
       138:{3,5}:{(136,1),(137,1),(139,1)}
       139:{4}:{(138,1)}

1018 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(17,1),(27,1),(56,1),(65,1),(125,1)}
         1:{2,3,4,6}:{(2,1),(5,1),(6,1),(19,1),(30,1),(56,1),(65,1),(125,1)}
         2:{1,2,4,6}:{(0,1),(1,1),(9,1),(10,1),(11,1),(41,1),(45,1)}
         3:{1,3,5}:{(0,1),(10,1),(12,1),(43,1),(151,1)}
         4:{1,3,4,7}:{(0,1),(11,1),(13,1),(36,1),(86,1),(96,1),(226,1)}
         5:{2,3,5}:{(1,1),(10,1),(14,1),(43,1),(151,1)}
         6:{2,3,4,7}:{(1,1),(11,1),(15,1),(39,1),(86,1),(96,1),(227,1)}
         7:{1,3,5,6}:{(3,1),(16,1),(17,1),(18,1),(27,1),(52,1),(56,1),(74,1),(130,1)}
         8:{2,3,5,6}:{(5,1),(16,1),(19,1),(20,1),(30,1),(54,1),(56,1),(77,1),(130,1)}
         9:{1,2,3,6}:{(2,1),(21,1),(22,1),(56,1),(113,1)}
        10:{1,2,5}:{(2,1),(3,1),(5,1)}
        11:{1,2,4,7}:{(2,1),(4,1),(6,1),(22,1),(24,1),(229,1)}
        12:{1,4,5}:{(3,1),(17,1),(25,1),(172,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(24,1),(26,1),(27,1),(70,1),(219,1),(222,1)}
        14:{2,4,5}:{(5,1),(19,1),(28,1),(172,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(24,1),(29,1),(30,1),(70,1),(220,1),(223,1)}
        16:{1,2,5,6}:{(7,1),(8,1),(10,1),(33,1),(34,1),(45,1),(78,1),(81,1)}
        17:{1,4,6}:{(7,1),(12,1),(35,1),(36,1),(155,1)}
        18:{1,3,5,7}:{(7,1),(34,1),(36,1),(37,1),(79,1),(86,1),(90,1),(142,1)}
        19:{2,4,6}:{(8,1),(14,1),(38,1),(39,1),(155,1)}
        20:{2,3,5,7}:{(8,1),(34,1),(39,1),(40,1),(82,1),(86,1),(93,1),(142,1)}
        21:{1,2,3,5}:{(9,1),(10,1),(41,1),(43,1),(98,1),(147,1)}
        22:{1,2,3,7}:{(9,1),(11,1),(86,1),(139,1),(230,1)}
        23:{1,2,4,5}:{(10,1),(12,1),(14,1),(33,1),(41,1),(43,1),(46,1),(49,1),(98,1)}
        24:{1,2,5,7}:{(10,1),(11,1),(13,1),(15,1),(45,1),(225,1),(228,1)}
        25:{3,4,5}:{(12,1),(35,1),(43,1),(46,1)}
        26:{1,4,5,7}:{(12,1),(13,1),(36,1),(47,1),(48,1),(90,1),(212,1),(216,1)}
        27:{1,3,6}:{(13,1),(45,1),(48,1),(101,1)}
        28:{3,4,5}:{(14,1),(38,1),(43,1),(49,1)}
        29:{2,4,5,7}:{(14,1),(15,1),(39,1),(50,1),(51,1),(93,1),(211,1),(215,1)}
        30:{2,3,6}:{(15,1),(45,1),(51,1),(101,1)}
        31:{1,4,5,6}:{(17,1),(52,1),(53,1),(74,1),(132,1)}
        32:{2,4,5,6}:{(19,1),(54,1),(55,1),(77,1),(134,1)}
        33:{1,2,4,6}:{(16,1),(17,1),(19,1),(23,1),(56,1),(57,1),(59,1),(62,1),(113,1)}
        34:{1,2,5,7}:{(16,1),(18,1),(20,1),(57,1),(58,1),(107,1),(110,1)}
        35:{3,4,6}:{(17,1),(25,1),(52,1),(56,1),(59,1),(60,1)}
        36:{1,4,7}:{(17,1),(18,1),(60,1),(165,1)}
        37:{1,3,6,7}:{(18,1),(27,1),(58,1),(61,1),(108,1),(116,1),(219,1)}
        38:{3,4,6}:{(19,1),(28,1),(54,1),(56,1),(62,1),(63,1)}
        39:{2,4,7}:{(19,1),(20,1),(63,1),(165,1)}
        40:{2,3,6,7}:{(20,1),(30,1),(58,1),(64,1),(111,1),(116,1),(220,1)}
        41:{1,2,4}:{(21,1),(65,1)}
        42:{1,2,3,5,7}:{(21,1),(22,1),(24,1),(66,1),(67,1),(70,1),(126,1),(127,1),(168,1),(201,1)}
        43:{3,5}:{(23,1),(56,1),(65,1)}
        44:{1,2,4,5,7}:{(23,1),(24,1),(26,1),(29,1),(57,1),(66,1),(70,1),(71,1),(72,1),(75,1),(117,1),(126,1),(127,1),(165,1),(172,1),(196,1),(202,1)}
        45:{1,2,6}:{(24,1),(27,1),(30,1)}
        46:{2,4,5}:{(25,1),(59,1),(69,1)}
        47:{3,4,5,7}:{(25,1),(26,1),(60,1),(70,1),(72,1),(73,1),(119,1),(165,1),(172,1),(198,1),(204,1)}
        48:{1,4,6}:{(26,1),(27,1),(73,1),(74,1)}
        49:{1,4,5}:{(28,1),(62,1),(68,1)}
        50:{3,4,5,7}:{(28,1),(29,1),(63,1),(70,1),(75,1),(76,1),(121,1),(165,1),(172,1),(197,1),(203,1)}
        51:{2,4,6}:{(29,1),(30,1),(76,1),(77,1)}
        52:{3,5,6}:{(31,1),(35,1),(78,1),(79,1)}
        53:{1,4,5,7}:{(31,1),(36,1),(79,1),(80,1),(90,1),(144,1)}
        54:{3,5,6}:{(32,1),(38,1),(81,1),(82,1)}
        55:{2,4,5,7}:{(32,1),(39,1),(82,1),(83,1),(93,1),(146,1)}
        56:{3,6}:{(33,1),(43,1),(86,1)}
        57:{1,2,4,7}:{(33,1),(34,1),(36,1),(39,1),(86,1),(88,1),(91,1),(139,1)}
        58:{1,2,6,7}:{(34,1),(37,1),(40,1),(45,1),(135,1),(137,1),(225,1)}
        59:{2,4,6}:{(35,1),(46,1),(78,1),(85,1),(88,1)}
        60:{3,4,7}:{(35,1),(36,1),(79,1),(86,1),(88,1)}
        61:{1,4,6,7}:{(36,1),(37,1),(48,1),(89,1),(90,1),(208,1),(212,1)}
        62:{1,4,6}:{(38,1),(49,1),(81,1),(84,1),(91,1)}
        63:{3,4,7}:{(38,1),(39,1),(82,1),(86,1),(91,1)}
        64:{2,4,6,7}:{(39,1),(40,1),(51,1),(92,1),(93,1),(209,1),(211,1)}
        65:{3,4}:{(41,1),(43,1)}
        66:{1,2,4,7}:{(41,1),(42,1),(96,1),(97,1),(213,1)}
        67:{1,2,3,6}:{(42,1),(45,1),(97,1),(101,1),(152,1)}
        68:{1,3,5}:{(43,1),(49,1),(84,1),(94,1),(98,1)}
        69:{2,3,5}:{(43,1),(46,1),(85,1),(95,1),(98,1)}
        70:{3,5,7}:{(43,1),(44,1),(86,1),(96,1),(101,1),(151,1),(210,1),(214,1)}
        71:{1,2,4,6}:{(44,1),(45,1),(48,1),(51,1),(101,1),(102,1),(103,1),(105,1),(152,1),(155,1)}
        72:{2,4,5,7}:{(46,1),(47,1),(88,1),(100,1),(103,1),(143,1),(182,1),(188,1)}
        73:{3,4,6}:{(47,1),(48,1),(101,1),(103,1),(104,1),(155,1)}
        74:{1,5,6}:{(48,1),(90,1),(104,1)}
        75:{1,4,5,7}:{(49,1),(50,1),(91,1),(99,1),(105,1),(145,1),(181,1),(187,1)}
        76:{3,4,6}:{(50,1),(51,1),(101,1),(105,1),(106,1),(155,1)}
        77:{2,5,6}:{(51,1),(93,1),(106,1)}
        78:{2,5,6}:{(52,1),(59,1),(107,1)}
        79:{3,5,7}:{(52,1),(53,1),(60,1),(107,1),(108,1)}
        80:{1,4,6,7}:{(53,1),(108,1),(109,1),(159,1)}
        81:{1,5,6}:{(54,1),(62,1),(110,1)}
        82:{3,5,7}:{(54,1),(55,1),(63,1),(110,1),(111,1)}
        83:{2,4,6,7}:{(55,1),(111,1),(112,1),(161,1)}
        84:{1,3,6}:{(56,1),(62,1),(68,1),(113,1),(114,1)}
        85:{2,3,6}:{(56,1),(59,1),(69,1),(113,1),(115,1)}
        86:{3,7}:{(56,1),(57,1)}
        87:{1,2,4,6,7}:{(57,1),(58,1),(61,1),(64,1),(71,1),(116,1),(117,1),(118,1),(120,1),(162,1),(165,1),(196,1)}
        88:{2,4,7}:{(59,1),(60,1),(107,1),(115,1)}
        89:{3,4,6,7}:{(60,1),(61,1),(73,1),(108,1),(116,1),(118,1),(119,1),(159,1),(165,1),(194,1),(198,1)}
        90:{1,5,7}:{(61,1),(74,1),(119,1)}
        91:{1,4,7}:{(62,1),(63,1),(110,1),(114,1)}
        92:{3,4,6,7}:{(63,1),(64,1),(76,1),(111,1),(116,1),(120,1),(121,1),(161,1),(165,1),(195,1),(197,1)}
        93:{2,5,7}:{(64,1),(77,1),(121,1)}
        94:{1,3,4}:{(65,1),(68,1),(122,1)}
        95:{2,3,4}:{(65,1),(69,1),(122,1)}
        96:{3,4,7}:{(65,1),(66,1),(70,1),(125,1),(165,1),(221,1)}
        97:{1,2,4,6}:{(66,1),(67,1),(125,1),(126,1)}
        98:{1,2,5}:{(68,1),(69,1),(113,1),(122,1)}
        99:{1,3,5,7}:{(68,1),(70,1),(75,1),(114,1),(123,1),(127,1),(128,1),(170,1)}
       100:{2,3,5,7}:{(69,1),(70,1),(72,1),(115,1),(124,1),(127,1),(129,1),(171,1)}
       101:{3,6}:{(70,1),(71,1)}
       102:{1,2,5,6}:{(71,1),(74,1),(77,1),(117,1),(126,1),(130,1),(131,1),(133,1)}
       103:{2,4,6}:{(72,1),(73,1),(129,1),(131,1)}
       104:{3,5,6}:{(73,1),(74,1),(119,1),(131,1),(132,1)}
       105:{1,4,6}:{(75,1),(76,1),(128,1),(133,1)}
       106:{3,5,6}:{(76,1),(77,1),(121,1),(133,1),(134,1)}
       107:{2,5,7}:{(78,1),(79,1),(88,1),(135,1)}
       108:{3,6,7}:{(79,1),(80,1),(135,1)}
       109:{1,5,6,7}:{(80,1),(90,1),(136,1),(208,1)}
       110:{1,5,7}:{(81,1),(82,1),(91,1),(137,1)}
       111:{3,6,7}:{(82,1),(83,1),(137,1)}
       112:{2,5,6,7}:{(83,1),(93,1),(138,1),(209,1)}
       113:{1,2,6}:{(84,1),(85,1),(98,1),(139,1)}
       114:{1,3,7}:{(84,1),(86,1),(91,1),(139,1)}
       115:{2,3,7}:{(85,1),(86,1),(88,1),(139,1)}
       116:{3,6,7}:{(86,1),(87,1),(101,1),(142,1),(210,1)}
       117:{1,2,5,7}:{(87,1),(90,1),(93,1),(102,1),(142,1),(143,1),(145,1)}
       118:{2,4,6,7}:{(88,1),(89,1),(103,1),(135,1),(141,1),(143,1),(182,1)}
       119:{3,5,7}:{(89,1),(90,1),(104,1),(143,1),(144,1)}
       120:{1,4,6,7}:{(91,1),(92,1),(105,1),(137,1),(140,1),(145,1),(181,1)}
       121:{3,5,7}:{(92,1),(93,1),(106,1),(145,1),(146,1)}
       122:{1,2,4}:{(94,1),(95,1),(98,1),(147,1)}
       123:{1,3,4,7}:{(94,1),(96,1),(99,1),(148,1),(149,1),(181,1),(210,1)}
       124:{2,3,4,7}:{(95,1),(96,1),(100,1),(148,1),(150,1),(182,1),(210,1)}
       125:{3,4,6}:{(96,1),(97,1),(101,1),(151,1),(155,1)}
       126:{1,2,5}:{(97,1),(151,1)}
       127:{1,2,5,7}:{(98,1),(99,1),(100,1),(139,1),(148,1),(152,1),(186,1)}
       128:{1,3,6}:{(99,1),(101,1),(105,1),(152,1)}
       129:{2,3,6}:{(100,1),(101,1),(103,1),(152,1)}
       130:{3,5,6}:{(101,1),(102,1),(142,1),(151,1),(155,1)}
       131:{2,5,6}:{(103,1),(104,1),(143,1)}
       132:{4,5,6}:{(104,1),(144,1),(155,1)}
       133:{1,5,6}:{(105,1),(106,1),(145,1)}
       134:{4,5,6}:{(106,1),(146,1),(155,1)}
       135:{2,6,7}:{(107,1),(108,1)}
       136:{3,5,6,7}:{(108,1),(109,1),(119,1),(158,1),(159,1),(194,1)}
       137:{1,6,7}:{(110,1),(111,1)}
       138:{3,5,6,7}:{(111,1),(112,1),(121,1),(160,1),(161,1),(195,1)}
       139:{1,2,7}:{(113,1),(114,1),(115,1)}
       140:{1,3,6,7}:{(114,1),(116,1),(120,1),(128,1),(162,1),(163,1),(195,1)}
       141:{2,3,6,7}:{(115,1),(116,1),(118,1),(129,1),(162,1),(164,1),(194,1)}
       142:{3,5,7}:{(116,1),(117,1),(130,1),(165,1)}
       143:{2,5,7}:{(118,1),(119,1),(131,1)}
       144:{4,5,7}:{(119,1),(132,1),(159,1),(165,1)}
       145:{1,5,7}:{(120,1),(121,1),(133,1)}
       146:{4,5,7}:{(121,1),(134,1),(161,1),(165,1)}
       147:{1,2,3}:{(122,1)}
       148:{1,2,4,7}:{(122,1),(123,1),(124,1),(127,1),(168,1),(169,1)}
       149:{1,3,4,6}:{(123,1),(125,1),(128,1),(169,1),(170,1),(174,1),(205,1),(221,1)}
       150:{2,3,4,6}:{(124,1),(125,1),(129,1),(169,1),(171,1),(175,1),(205,1),(221,1)}
       151:{3,5}:{(125,1),(126,1),(172,1)}
       152:{1,2,6}:{(127,1),(128,1),(129,1)}
       153:{1,3,5,6}:{(128,1),(130,1),(133,1),(163,1),(170,1),(173,1),(174,1),(177,1),(205,1)}
       154:{2,3,5,6}:{(129,1),(130,1),(131,1),(164,1),(171,1),(173,1),(175,1),(176,1),(205,1)}
       155:{4,6}:{(130,1),(165,1),(172,1)}
       156:{2,4,5,6}:{(131,1),(132,1),(166,1),(175,1),(176,1)}
       157:{1,4,5,6}:{(133,1),(134,1),(167,1),(174,1),(177,1)}
       158:{2,5,6,7}:{(135,1),(136,1),(143,1),(178,1)}
       159:{4,6,7}:{(136,1),(144,1)}
       160:{1,5,6,7}:{(137,1),(138,1),(145,1),(179,1)}
       161:{4,6,7}:{(138,1),(146,1)}
       162:{1,2,6,7}:{(139,1),(140,1),(141,1),(152,1),(180,1),(208,1),(209,1)}
       163:{1,3,5,7}:{(140,1),(142,1),(145,1),(153,1),(180,1),(181,1),(184,1),(210,1)}
       164:{2,3,5,7}:{(141,1),(142,1),(143,1),(154,1),(180,1),(182,1),(183,1),(210,1)}
       165:{4,7}:{(142,1),(155,1)}
       166:{2,4,5,7}:{(143,1),(144,1),(156,1),(178,1),(182,1),(183,1)}
       167:{1,4,5,7}:{(145,1),(146,1),(157,1),(179,1),(181,1),(184,1)}
       168:{1,2,3,7}:{(147,1),(148,1),(185,1),(210,1),(225,1)}
       169:{1,2,4,6}:{(148,1),(149,1),(150,1),(152,1),(185,1),(186,1),(213,1)}
       170:{1,3,5}:{(149,1),(151,1),(186,1),(187,1),(214,1)}
       171:{2,3,5}:{(150,1),(151,1),(186,1),(188,1),(214,1)}
       172:{4,5}:{(151,1),(155,1)}
       173:{1,2,5,6}:{(152,1),(153,1),(154,1),(180,1),(186,1),(189,1),(192,1),(193,1)}
       174:{1,4,6}:{(153,1),(155,1),(181,1),(187,1),(190,1)}
       175:{2,4,6}:{(154,1),(155,1),(182,1),(188,1),(191,1)}
       176:{3,5,6}:{(156,1),(183,1),(191,1),(192,1)}
       177:{3,5,6}:{(157,1),(184,1),(190,1),(193,1)}
       178:{2,4,6,7}:{(158,1),(159,1),(166,1),(194,1)}
       179:{1,4,6,7}:{(160,1),(161,1),(167,1),(195,1)}
       180:{1,2,5,7}:{(162,1),(163,1),(164,1),(173,1),(196,1),(199,1),(200,1)}
       181:{1,4,7}:{(163,1),(165,1),(174,1),(197,1)}
       182:{2,4,7}:{(164,1),(165,1),(175,1),(198,1)}
       183:{3,5,7}:{(166,1),(176,1),(194,1),(198,1),(199,1)}
       184:{3,5,7}:{(167,1),(177,1),(195,1),(197,1),(200,1)}
       185:{1,2,3,6}:{(168,1),(169,1),(201,1),(205,1),(224,1)}
       186:{1,2,5}:{(169,1),(170,1),(171,1)}
       187:{1,4,5}:{(170,1),(172,1),(174,1),(203,1)}
       188:{2,4,5}:{(171,1),(172,1),(175,1),(204,1)}
       189:{1,2,4,6}:{(173,1),(174,1),(175,1),(196,1),(202,1),(205,1),(206,1),(207,1),(224,1)}
       190:{3,4,6}:{(174,1),(177,1),(197,1),(203,1),(205,1),(206,1)}
       191:{3,4,6}:{(175,1),(176,1),(198,1),(204,1),(205,1),(207,1)}
       192:{1,5,6}:{(176,1),(199,1),(207,1)}
       193:{2,5,6}:{(177,1),(200,1),(206,1)}
       194:{3,6,7}:{(178,1),(183,1),(208,1)}
       195:{3,6,7}:{(179,1),(184,1),(209,1)}
       196:{1,2,4,7}:{(180,1),(181,1),(182,1),(189,1),(210,1),(211,1),(212,1),(225,1)}
       197:{3,4,7}:{(181,1),(184,1),(190,1),(210,1),(211,1)}
       198:{3,4,7}:{(182,1),(183,1),(191,1),(210,1),(212,1)}
       199:{1,5,7}:{(183,1),(192,1),(208,1),(212,1)}
       200:{2,5,7}:{(184,1),(193,1),(209,1),(211,1)}
       201:{1,2,3,5}:{(185,1),(186,1),(213,1),(214,1),(228,1),(230,1)}
       202:{1,2,4,5}:{(186,1),(187,1),(188,1),(189,1),(213,1),(214,1),(215,1),(216,1),(228,1)}
       203:{3,4,5}:{(187,1),(190,1),(214,1),(215,1)}
       204:{3,4,5}:{(188,1),(191,1),(214,1),(216,1)}
       205:{3,6}:{(189,1),(210,1),(214,1)}
       206:{2,4,6}:{(190,1),(193,1),(211,1),(215,1),(218,1)}
       207:{1,4,6}:{(191,1),(192,1),(212,1),(216,1),(217,1)}
       208:{1,6,7}:{(194,1),(199,1)}
       209:{2,6,7}:{(195,1),(200,1)}
       210:{3,7}:{(196,1),(205,1)}
       211:{2,4,7}:{(197,1),(200,1),(206,1),(220,1)}
       212:{1,4,7}:{(198,1),(199,1),(207,1),(219,1)}
       213:{1,2,4}:{(201,1),(221,1)}
       214:{3,5}:{(202,1),(205,1),(221,1)}
       215:{2,4,5}:{(203,1),(206,1),(223,1)}
       216:{1,4,5}:{(204,1),(207,1),(222,1)}
       217:{1,3,6}:{(205,1),(207,1),(219,1),(222,1),(224,1)}
       218:{2,3,6}:{(205,1),(206,1),(220,1),(223,1),(224,1)}
       219:{1,3,7}:{(210,1),(212,1),(217,1),(225,1)}
       220:{2,3,7}:{(210,1),(211,1),(218,1),(225,1)}
       221:{3,4}:{(213,1),(214,1)}
       222:{1,3,5}:{(214,1),(216,1),(217,1),(226,1),(228,1)}
       223:{2,3,5}:{(214,1),(215,1),(218,1),(227,1),(228,1)}
       224:{1,2,6}:{(217,1),(218,1),(225,1),(228,1)}
       225:{1,2,7}:{(219,1),(220,1),(224,1)}
       226:{1,3,4}:{(221,1),(222,1),(229,1)}
       227:{2,3,4}:{(221,1),(223,1),(229,1)}
       228:{1,2,5}:{(222,1),(223,1),(224,1),(229,1)}
       229:{1,2,4}:{(226,1),(227,1),(228,1),(230,1)}
       230:{1,2,3}:{(229,1)}

1019 :   0:{1,3,4,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1),(51,1),(55,1),(83,1),(90,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(69,1),(100,1),(104,1)}
         2:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(37,1),(71,1),(101,1)}
         3:{2,3,6,7}:{(1,1),(8,1),(29,1),(113,1),(117,1)}
         4:{1,2,5,7}:{(1,1),(2,1),(8,1),(9,1),(53,1),(114,1)}
         5:{1,3,5,6}:{(2,1),(9,1),(11,1),(29,1),(32,1)}
         6:{1,4,5,7}:{(2,1),(11,1),(12,1),(83,1),(86,1)}
         7:{1,3,5,6,7}:{(5,1),(13,1),(14,1),(36,1),(37,1),(67,1),(120,1)}
         8:{2,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(18,1),(125,1)}
         9:{1,2,5,6}:{(4,1),(5,1),(15,1),(17,1),(47,1),(71,1)}
        10:{1,2,4,5,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(21,1),(39,1),(41,1),(46,1),(71,1),(100,1),(102,1)}
        11:{1,4,6}:{(5,1),(6,1),(20,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(66,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(9,1),(22,1),(23,1),(53,1),(80,1),(85,1),(108,1)}
        14:{1,4,6,7}:{(7,1),(11,1),(24,1),(25,1),(83,1),(129,1)}
        15:{2,3,5,6}:{(8,1),(9,1),(26,1),(29,1),(54,1)}
        16:{2,4,7}:{(8,1),(26,1),(27,1),(132,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(11,1),(26,1),(29,1),(33,1),(55,1),(61,1)}
        18:{3,5,7}:{(10,1),(27,1),(29,1),(54,1),(113,1),(115,1)}
        19:{1,4,5,6}:{(11,1),(24,1),(32,1)}
        20:{3,4,6}:{(11,1),(12,1),(29,1),(32,1),(33,1)}
        21:{2,4,5,7}:{(12,1),(31,1),(33,1),(53,1),(84,1),(87,1)}
        22:{2,3,5,6,7}:{(13,1),(15,1),(34,1),(36,1),(63,1),(68,1),(94,1)}
        23:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(38,1),(64,1),(69,1),(100,1),(119,1)}
        24:{1,4,5,7}:{(14,1),(19,1),(37,1),(135,1)}
        25:{3,4,6,7}:{(14,1),(20,1),(36,1),(37,1),(38,1),(66,1),(134,1)}
        26:{2,4,6}:{(15,1),(16,1),(39,1),(40,1)}
        27:{3,4,7}:{(16,1),(18,1),(40,1),(41,1),(126,1)}
        28:{1,2,4,5,6}:{(17,1),(19,1),(35,1),(39,1),(43,1),(47,1),(62,1),(71,1),(75,1),(76,1),(77,1),(93,1),(102,1),(119,1),(135,1),(139,1)}
        29:{3,6}:{(17,1),(18,1)}
        30:{1,3,5,7}:{(18,1),(41,1),(44,1),(46,1),(71,1),(74,1),(103,1)}
        31:{2,3,5,7}:{(18,1),(21,1),(42,1),(45,1),(46,1),(72,1)}
        32:{3,5,6}:{(19,1),(20,1),(37,1),(47,1)}
        33:{2,4,6}:{(20,1),(21,1),(45,1),(47,1)}
        34:{2,4,6,7}:{(22,1),(26,1),(48,1),(49,1),(84,1),(107,1)}
        35:{1,2,4,5,7}:{(23,1),(24,1),(28,1),(48,1),(50,1),(53,1),(80,1),(83,1),(84,1),(85,1)}
        36:{3,6,7}:{(23,1),(29,1),(50,1),(113,1),(128,1)}
        37:{3,5,7}:{(24,1),(25,1),(32,1),(53,1),(138,1)}
        38:{2,4,6,7}:{(25,1),(33,1),(52,1),(53,1),(84,1),(137,1)}
        39:{2,4,5}:{(26,1),(54,1)}
        40:{3,4,6}:{(26,1),(27,1),(29,1),(54,1),(55,1)}
        41:{1,4,7}:{(27,1),(30,1),(55,1),(116,1)}
        42:{2,3,4,7}:{(27,1),(31,1),(56,1),(57,1),(84,1),(113,1)}
        43:{3,5,6}:{(28,1),(29,1),(50,1),(54,1),(58,1),(115,1),(128,1),(138,1)}
        44:{1,3,6}:{(29,1),(30,1),(55,1),(61,1)}
        45:{2,3,6}:{(29,1),(31,1),(33,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(57,1),(61,1),(88,1)}
        47:{2,5,6}:{(32,1),(33,1),(53,1)}
        48:{2,4,5,7}:{(34,1),(39,1),(62,1),(63,1)}
        49:{3,4,6,7}:{(34,1),(36,1),(40,1),(63,1),(64,1),(66,1),(92,1)}
        50:{3,5,7}:{(35,1),(36,1),(43,1),(66,1)}
        51:{1,3,6,7}:{(36,1),(44,1),(64,1),(67,1),(69,1),(118,1)}
        52:{2,3,6,7}:{(36,1),(38,1),(45,1),(68,1),(69,1),(133,1)}
        53:{2,5,7}:{(37,1),(38,1),(47,1),(139,1)}
        54:{3,5}:{(39,1),(40,1),(71,1)}
        55:{1,4,6}:{(40,1),(41,1),(44,1),(71,1)}
        56:{2,3,4,6}:{(40,1),(42,1),(45,1),(72,1),(73,1),(76,1),(105,1),(126,1)}
        57:{1,2,4,7}:{(41,1),(42,1),(46,1),(73,1),(74,1)}
        58:{3,4,6}:{(43,1),(66,1),(70,1),(75,1),(76,1),(105,1),(126,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(67,1),(71,1),(75,1),(77,1),(93,1),(101,1),(103,1),(105,1),(118,1)}
        60:{2,3,5,6}:{(43,1),(45,1),(47,1),(68,1),(72,1),(76,1),(77,1),(105,1),(125,1),(133,1),(139,1)}
        61:{1,2,6}:{(44,1),(45,1),(46,1)}
        62:{2,4,5,6}:{(48,1),(78,1),(107,1)}
        63:{3,5,7}:{(48,1),(49,1),(54,1),(78,1),(80,1)}
        64:{1,4,6,7}:{(49,1),(51,1),(55,1),(80,1),(83,1),(106,1)}
        65:{2,3,4,6,7}:{(49,1),(52,1),(56,1),(81,1),(82,1),(84,1),(107,1),(113,1),(128,1),(131,1),(137,1)}
        66:{3,4,7}:{(50,1),(58,1),(83,1),(84,1),(113,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(59,1),(80,1),(83,1),(85,1),(113,1)}
        68:{2,3,5,7}:{(50,1),(52,1),(53,1),(60,1),(84,1),(85,1),(113,1)}
        69:{1,2,6,7}:{(51,1),(52,1),(61,1),(85,1),(127,1)}
        70:{3,4,5}:{(54,1),(58,1),(86,1),(87,1),(115,1),(138,1)}
        71:{1,5}:{(54,1),(55,1)}
        72:{2,3,5}:{(54,1),(56,1),(87,1),(88,1),(115,1)}
        73:{1,2,4,6}:{(55,1),(56,1),(57,1),(61,1),(88,1),(89,1),(116,1)}
        74:{1,3,7}:{(57,1),(89,1),(113,1)}
        75:{1,4,6}:{(58,1),(59,1),(83,1),(86,1),(116,1)}
        76:{2,4,6}:{(58,1),(60,1),(84,1),(87,1),(132,1)}
        77:{1,2,5,6}:{(59,1),(60,1),(61,1),(85,1),(88,1),(91,1),(114,1),(127,1)}
        78:{3,5,6}:{(62,1),(63,1),(92,1),(93,1)}
        79:{3,4,5,7}:{(63,1),(66,1),(70,1),(92,1),(95,1),(96,1),(122,1)}
        80:{1,5,7}:{(63,1),(64,1),(71,1),(93,1)}
        81:{2,3,5,7}:{(63,1),(65,1),(72,1),(94,1),(96,1),(97,1),(122,1),(139,1)}
        82:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(73,1),(97,1),(98,1),(100,1),(119,1),(123,1)}
        83:{1,4,7}:{(66,1),(67,1),(75,1)}
        84:{2,4,7}:{(66,1),(68,1),(76,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(77,1),(100,1)}
        86:{1,4,5}:{(70,1),(71,1),(75,1),(101,1)}
        87:{2,4,5}:{(70,1),(72,1),(76,1),(139,1)}
        88:{1,2,5}:{(71,1),(72,1),(73,1),(103,1)}
        89:{1,3,6}:{(73,1),(74,1),(103,1),(105,1)}
        90:{1,3,4,6}:{(75,1),(99,1),(101,1),(104,1),(105,1),(118,1),(126,1),(134,1)}
        91:{1,2,4,6}:{(75,1),(76,1),(77,1),(100,1),(102,1),(105,1)}
        92:{3,4,6}:{(78,1),(79,1),(106,1),(107,1),(128,1)}
        93:{1,5,6}:{(78,1),(80,1),(106,1)}
        94:{2,3,5,6}:{(78,1),(81,1),(107,1),(108,1),(128,1)}
        95:{1,4,5,7}:{(79,1),(80,1),(83,1),(86,1),(106,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(81,1),(84,1),(87,1),(107,1)}
        97:{1,2,5,7}:{(80,1),(81,1),(82,1),(88,1),(108,1),(111,1)}
        98:{1,3,6,7}:{(82,1),(89,1),(111,1),(113,1),(128,1)}
        99:{1,3,4,7}:{(83,1),(90,1),(109,1),(112,1),(113,1),(131,1)}
       100:{1,2,4,7}:{(83,1),(84,1),(85,1),(91,1),(113,1)}
       101:{1,3,5}:{(86,1),(90,1),(114,1),(115,1),(138,1)}
       102:{1,2,4,5}:{(86,1),(87,1),(88,1),(91,1),(114,1),(115,1),(116,1),(132,1)}
       103:{1,3,5}:{(88,1),(89,1),(115,1),(116,1)}
       104:{1,2,4,6}:{(90,1),(112,1),(114,1),(117,1),(127,1),(132,1),(137,1)}
       105:{3,6}:{(91,1),(113,1),(115,1)}
       106:{1,4,6}:{(92,1),(93,1),(95,1),(118,1)}
       107:{2,4,6}:{(92,1),(94,1),(96,1)}
       108:{1,2,5,6}:{(93,1),(94,1),(97,1),(119,1),(120,1),(139,1)}
       109:{1,3,5,7}:{(95,1),(99,1),(101,1),(118,1),(121,1),(122,1)}
       110:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(100,1),(102,1),(119,1),(121,1),(122,1),(123,1),(135,1),(136,1),(139,1)}
       111:{1,3,5,7}:{(97,1),(98,1),(103,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,7}:{(99,1),(104,1),(121,1),(124,1),(136,1)}
       113:{3,7}:{(100,1),(105,1)}
       114:{1,2,5}:{(101,1),(104,1),(125,1),(139,1)}
       115:{3,5}:{(102,1),(105,1),(126,1)}
       116:{1,4}:{(103,1),(126,1)}
       117:{2,3,6}:{(104,1),(105,1),(124,1),(125,1)}
       118:{1,3,6}:{(106,1),(109,1),(127,1),(128,1)}
       119:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(127,1),(128,1),(129,1),(137,1)}
       120:{1,3,5,6}:{(108,1),(111,1),(128,1),(129,1),(138,1)}
       121:{1,2,5,7}:{(109,1),(112,1),(114,1),(127,1),(130,1)}
       122:{3,5,7}:{(110,1),(113,1),(115,1),(128,1),(131,1),(138,1)}
       123:{1,4,7}:{(111,1),(116,1),(129,1),(131,1)}
       124:{2,3,7}:{(112,1),(113,1),(117,1)}
       125:{2,3,5}:{(114,1),(115,1),(117,1),(132,1)}
       126:{3,4}:{(115,1),(116,1),(132,1)}
       127:{1,2,6}:{(118,1),(121,1),(133,1)}
       128:{3,6}:{(119,1),(122,1)}
       129:{1,4,6}:{(120,1),(123,1),(134,1),(135,1)}
       130:{2,3,5,7}:{(121,1),(122,1),(124,1),(125,1),(133,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(126,1),(134,1),(136,1)}
       132:{2,4}:{(125,1),(126,1)}
       133:{2,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{3,4,6}:{(128,1),(129,1),(131,1),(137,1),(138,1)}
       135:{1,4,5}:{(129,1),(138,1)}
       136:{2,4,7}:{(130,1),(131,1),(132,1),(137,1)}
       137:{2,4,6}:{(133,1),(134,1),(136,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1020 :   0:{2,3,4,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1),(52,1),(56,1),(84,1),(90,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(69,1),(100,1),(104,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(37,1),(72,1),(101,1)}
         3:{1,3,6,7}:{(1,1),(8,1),(29,1),(113,1),(117,1)}
         4:{1,2,5,7}:{(1,1),(2,1),(8,1),(9,1),(53,1),(114,1)}
         5:{2,3,5,6}:{(2,1),(9,1),(11,1),(29,1),(32,1)}
         6:{2,4,5,7}:{(2,1),(11,1),(12,1),(84,1),(87,1)}
         7:{2,3,5,6,7}:{(5,1),(13,1),(14,1),(36,1),(37,1),(68,1),(120,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(18,1),(125,1)}
         9:{1,2,5,6}:{(4,1),(5,1),(15,1),(17,1),(47,1),(72,1)}
        10:{1,2,4,5,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(21,1),(39,1),(42,1),(46,1),(72,1),(100,1),(102,1)}
        11:{2,4,6}:{(5,1),(6,1),(20,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(66,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(9,1),(22,1),(23,1),(53,1),(81,1),(85,1),(108,1)}
        14:{2,4,6,7}:{(7,1),(11,1),(24,1),(25,1),(84,1),(129,1)}
        15:{1,3,5,6}:{(8,1),(9,1),(26,1),(29,1),(54,1)}
        16:{1,4,7}:{(8,1),(26,1),(27,1),(132,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(11,1),(26,1),(29,1),(33,1),(56,1),(61,1)}
        18:{3,5,7}:{(10,1),(27,1),(29,1),(54,1),(113,1),(115,1)}
        19:{2,4,5,6}:{(11,1),(24,1),(32,1)}
        20:{3,4,6}:{(11,1),(12,1),(29,1),(32,1),(33,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(33,1),(53,1),(83,1),(86,1)}
        22:{1,3,5,6,7}:{(13,1),(15,1),(34,1),(36,1),(63,1),(67,1),(93,1)}
        23:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(38,1),(65,1),(69,1),(100,1),(119,1)}
        24:{2,4,5,7}:{(14,1),(19,1),(37,1),(135,1)}
        25:{3,4,6,7}:{(14,1),(20,1),(36,1),(37,1),(38,1),(66,1),(134,1)}
        26:{1,4,6}:{(15,1),(16,1),(39,1),(40,1)}
        27:{3,4,7}:{(16,1),(18,1),(40,1),(42,1),(126,1)}
        28:{1,2,4,5,6}:{(17,1),(19,1),(35,1),(39,1),(43,1),(47,1),(62,1),(72,1),(75,1),(76,1),(77,1),(94,1),(102,1),(119,1),(135,1),(139,1)}
        29:{3,6}:{(17,1),(18,1)}
        30:{1,3,5,7}:{(18,1),(21,1),(41,1),(44,1),(46,1),(71,1)}
        31:{2,3,5,7}:{(18,1),(42,1),(45,1),(46,1),(72,1),(74,1),(103,1)}
        32:{3,5,6}:{(19,1),(20,1),(37,1),(47,1)}
        33:{1,4,6}:{(20,1),(21,1),(44,1),(47,1)}
        34:{1,4,6,7}:{(22,1),(26,1),(48,1),(49,1),(83,1),(106,1)}
        35:{1,2,4,5,7}:{(23,1),(24,1),(28,1),(48,1),(50,1),(53,1),(81,1),(83,1),(84,1),(85,1)}
        36:{3,6,7}:{(23,1),(29,1),(50,1),(113,1),(128,1)}
        37:{3,5,7}:{(24,1),(25,1),(32,1),(53,1),(138,1)}
        38:{1,4,6,7}:{(25,1),(33,1),(51,1),(53,1),(83,1),(137,1)}
        39:{1,4,5}:{(26,1),(54,1)}
        40:{3,4,6}:{(26,1),(27,1),(29,1),(54,1),(56,1)}
        41:{1,3,4,7}:{(27,1),(30,1),(55,1),(57,1),(83,1),(113,1)}
        42:{2,4,7}:{(27,1),(31,1),(56,1),(116,1)}
        43:{3,5,6}:{(28,1),(29,1),(50,1),(54,1),(58,1),(115,1),(128,1),(138,1)}
        44:{1,3,6}:{(29,1),(30,1),(33,1),(61,1)}
        45:{2,3,6}:{(29,1),(31,1),(56,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(57,1),(61,1),(88,1)}
        47:{1,5,6}:{(32,1),(33,1),(53,1)}
        48:{1,4,5,7}:{(34,1),(39,1),(62,1),(63,1)}
        49:{3,4,6,7}:{(34,1),(36,1),(40,1),(63,1),(65,1),(66,1),(92,1)}
        50:{3,5,7}:{(35,1),(36,1),(43,1),(66,1)}
        51:{1,3,6,7}:{(36,1),(38,1),(44,1),(67,1),(69,1),(133,1)}
        52:{2,3,6,7}:{(36,1),(45,1),(65,1),(68,1),(69,1),(118,1)}
        53:{1,5,7}:{(37,1),(38,1),(47,1),(139,1)}
        54:{3,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,6}:{(40,1),(41,1),(44,1),(71,1),(73,1),(75,1),(105,1),(126,1)}
        56:{2,4,6}:{(40,1),(42,1),(45,1),(72,1)}
        57:{1,2,4,7}:{(41,1),(42,1),(46,1),(73,1),(74,1)}
        58:{3,4,6}:{(43,1),(66,1),(70,1),(75,1),(76,1),(105,1),(126,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(47,1),(67,1),(71,1),(75,1),(77,1),(105,1),(125,1),(133,1),(139,1)}
        60:{2,3,5,6}:{(43,1),(45,1),(68,1),(72,1),(76,1),(77,1),(94,1),(101,1),(103,1),(105,1),(118,1)}
        61:{1,2,6}:{(44,1),(45,1),(46,1)}
        62:{1,4,5,6}:{(48,1),(78,1),(106,1)}
        63:{3,5,7}:{(48,1),(49,1),(54,1),(78,1),(81,1)}
        64:{1,3,4,6,7}:{(49,1),(51,1),(55,1),(80,1),(82,1),(83,1),(106,1),(113,1),(128,1),(131,1),(137,1)}
        65:{2,4,6,7}:{(49,1),(52,1),(56,1),(81,1),(84,1),(107,1)}
        66:{3,4,7}:{(50,1),(58,1),(83,1),(84,1),(113,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(59,1),(83,1),(85,1),(113,1)}
        68:{2,3,5,7}:{(50,1),(52,1),(60,1),(81,1),(84,1),(85,1),(113,1)}
        69:{1,2,6,7}:{(51,1),(52,1),(61,1),(85,1),(127,1)}
        70:{3,4,5}:{(54,1),(58,1),(86,1),(87,1),(115,1),(138,1)}
        71:{1,3,5}:{(54,1),(55,1),(86,1),(88,1),(115,1)}
        72:{2,5}:{(54,1),(56,1)}
        73:{1,2,4,6}:{(55,1),(56,1),(57,1),(61,1),(88,1),(89,1),(116,1)}
        74:{2,3,7}:{(57,1),(89,1),(113,1)}
        75:{1,4,6}:{(58,1),(59,1),(83,1),(86,1),(132,1)}
        76:{2,4,6}:{(58,1),(60,1),(84,1),(87,1),(116,1)}
        77:{1,2,5,6}:{(59,1),(60,1),(61,1),(85,1),(88,1),(91,1),(114,1),(127,1)}
        78:{3,5,6}:{(62,1),(63,1),(92,1),(94,1)}
        79:{3,4,5,7}:{(63,1),(66,1),(70,1),(92,1),(95,1),(96,1),(122,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(71,1),(93,1),(95,1),(97,1),(122,1),(139,1)}
        81:{2,5,7}:{(63,1),(65,1),(72,1),(94,1)}
        82:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(73,1),(97,1),(98,1),(100,1),(119,1),(123,1)}
        83:{1,4,7}:{(66,1),(67,1),(75,1)}
        84:{2,4,7}:{(66,1),(68,1),(76,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(77,1),(100,1)}
        86:{1,4,5}:{(70,1),(71,1),(75,1),(139,1)}
        87:{2,4,5}:{(70,1),(72,1),(76,1),(101,1)}
        88:{1,2,5}:{(71,1),(72,1),(73,1),(103,1)}
        89:{2,3,6}:{(73,1),(74,1),(103,1),(105,1)}
        90:{2,3,4,6}:{(76,1),(99,1),(101,1),(104,1),(105,1),(118,1),(126,1),(134,1)}
        91:{1,2,4,6}:{(75,1),(76,1),(77,1),(100,1),(102,1),(105,1)}
        92:{3,4,6}:{(78,1),(79,1),(106,1),(107,1),(128,1)}
        93:{1,3,5,6}:{(78,1),(80,1),(106,1),(108,1),(128,1)}
        94:{2,5,6}:{(78,1),(81,1),(107,1)}
        95:{1,4,5,7}:{(79,1),(80,1),(83,1),(86,1),(106,1)}
        96:{2,4,5,7}:{(79,1),(81,1),(84,1),(87,1),(107,1),(109,1)}
        97:{1,2,5,7}:{(80,1),(81,1),(82,1),(88,1),(108,1),(111,1)}
        98:{2,3,6,7}:{(82,1),(89,1),(111,1),(113,1),(128,1)}
        99:{2,3,4,7}:{(84,1),(90,1),(109,1),(112,1),(113,1),(131,1)}
       100:{1,2,4,7}:{(83,1),(84,1),(85,1),(91,1),(113,1)}
       101:{2,3,5}:{(87,1),(90,1),(114,1),(115,1),(138,1)}
       102:{1,2,4,5}:{(86,1),(87,1),(88,1),(91,1),(114,1),(115,1),(116,1),(132,1)}
       103:{2,3,5}:{(88,1),(89,1),(115,1),(116,1)}
       104:{1,2,4,6}:{(90,1),(112,1),(114,1),(117,1),(127,1),(132,1),(137,1)}
       105:{3,6}:{(91,1),(113,1),(115,1)}
       106:{1,4,6}:{(92,1),(93,1),(95,1)}
       107:{2,4,6}:{(92,1),(94,1),(96,1),(118,1)}
       108:{1,2,5,6}:{(93,1),(94,1),(97,1),(119,1),(120,1),(139,1)}
       109:{2,3,5,7}:{(96,1),(99,1),(101,1),(118,1),(121,1),(122,1)}
       110:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(100,1),(102,1),(119,1),(121,1),(122,1),(123,1),(135,1),(136,1),(139,1)}
       111:{2,3,5,7}:{(97,1),(98,1),(103,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,7}:{(99,1),(104,1),(121,1),(124,1),(136,1)}
       113:{3,7}:{(100,1),(105,1)}
       114:{1,2,5}:{(101,1),(104,1),(125,1),(139,1)}
       115:{3,5}:{(102,1),(105,1),(126,1)}
       116:{2,4}:{(103,1),(126,1)}
       117:{1,3,6}:{(104,1),(105,1),(124,1),(125,1)}
       118:{2,3,6}:{(107,1),(109,1),(127,1),(128,1)}
       119:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(127,1),(128,1),(129,1),(137,1)}
       120:{2,3,5,6}:{(108,1),(111,1),(128,1),(129,1),(138,1)}
       121:{1,2,5,7}:{(109,1),(112,1),(114,1),(127,1),(130,1)}
       122:{3,5,7}:{(110,1),(113,1),(115,1),(128,1),(131,1),(138,1)}
       123:{2,4,7}:{(111,1),(116,1),(129,1),(131,1)}
       124:{1,3,7}:{(112,1),(113,1),(117,1)}
       125:{1,3,5}:{(114,1),(115,1),(117,1),(132,1)}
       126:{3,4}:{(115,1),(116,1),(132,1)}
       127:{1,2,6}:{(118,1),(121,1),(133,1)}
       128:{3,6}:{(119,1),(122,1)}
       129:{2,4,6}:{(120,1),(123,1),(134,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(124,1),(125,1),(133,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(126,1),(134,1),(136,1)}
       132:{1,4}:{(125,1),(126,1)}
       133:{1,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{3,4,6}:{(128,1),(129,1),(131,1),(137,1),(138,1)}
       135:{2,4,5}:{(129,1),(138,1)}
       136:{1,4,7}:{(130,1),(131,1),(132,1),(137,1)}
       137:{1,4,6}:{(133,1),(134,1),(136,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

1021 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(75,1),(76,1),(78,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(14,1),(39,1),(40,1),(41,1),(44,1),(46,1),(78,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(24,1),(82,1),(83,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(57,1),(58,1),(62,1),(64,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(49,1),(50,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(15,1),(33,1),(41,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(12,1),(94,1),(95,1)}
         7:{1,2,4,5}:{(4,1),(14,1),(35,1),(36,1),(44,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(15,1),(67,1),(68,1)}
         9:{3,4,6}:{(4,1),(14,1),(15,1),(41,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,4,5,6}:{(7,1),(22,1),(23,1),(24,1),(49,1),(50,1),(51,1),(59,1),(86,1),(87,1)}
        12:{1,2,5,6}:{(6,1),(18,1),(24,1),(86,1),(87,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(24,1),(25,1),(53,1),(54,1),(62,1)}
        14:{3,5}:{(7,1),(9,1)}
        15:{3,4,7}:{(8,1),(9,1),(25,1)}
        16:{1,3,4,6}:{(9,1),(26,1),(28,1),(30,1),(49,1),(60,1),(85,1),(90,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(29,1),(30,1),(50,1),(61,1),(85,1),(90,1),(105,1)}
        18:{3,5,6}:{(10,1),(12,1),(33,1),(41,1)}
        19:{4,5,7}:{(10,1),(33,1)}
        20:{3,4,5}:{(14,1),(32,1),(35,1),(36,1),(74,1)}
        21:{1,2,5,6,7}:{(12,1),(31,1),(37,1),(94,1),(95,1)}
        22:{1,2,4,5,7}:{(11,1),(37,1),(38,1),(65,1),(67,1),(68,1),(77,1),(94,1),(95,1)}
        23:{3,5,6}:{(11,1),(14,1),(32,1),(38,1),(41,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(33,1),(41,1),(71,1),(72,1),(78,1)}
        25:{3,5,7}:{(13,1),(14,1),(15,1),(41,1)}
        26:{1,3,5}:{(14,1),(16,1),(35,1),(44,1),(74,1),(109,1)}
        27:{2,3,5}:{(14,1),(17,1),(36,1),(44,1),(74,1),(109,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(42,1),(45,1),(67,1),(97,1),(100,1)}
        29:{2,3,4,7}:{(15,1),(17,1),(43,1),(45,1),(68,1),(97,1),(100,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(44,1),(45,1),(46,1),(78,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(47,1),(56,1),(81,1)}
        32:{3,4,6}:{(20,1),(23,1),(48,1),(49,1),(50,1),(85,1)}
        33:{4,6}:{(18,1),(19,1)}
        34:{3,4,5,7}:{(19,1),(20,1),(25,1),(48,1),(52,1),(53,1),(54,1),(81,1),(89,1),(110,1),(111,1)}
        35:{1,4,5}:{(20,1),(26,1),(49,1),(111,1)}
        36:{2,4,5}:{(20,1),(27,1),(50,1),(111,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(24,1),(47,1),(56,1),(82,1),(83,1),(91,1)}
        38:{3,5,7}:{(22,1),(23,1),(48,1),(56,1)}
        39:{1,3,5,6}:{(23,1),(26,1),(49,1),(57,1),(59,1),(60,1),(85,1),(86,1),(104,1)}
        40:{2,3,5,6}:{(23,1),(27,1),(50,1),(58,1),(59,1),(61,1),(85,1),(87,1),(104,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(28,1),(53,1),(60,1),(62,1),(89,1)}
        43:{2,3,5,7}:{(25,1),(27,1),(29,1),(54,1),(61,1),(62,1),(89,1)}
        44:{1,2,5}:{(26,1),(27,1),(30,1)}
        45:{1,2,4,7}:{(28,1),(29,1),(30,1),(62,1),(64,1)}
        46:{1,2,3,6}:{(30,1),(63,1),(64,1),(85,1)}
        47:{4,6,7}:{(31,1),(33,1),(65,1)}
        48:{3,4,7}:{(32,1),(38,1),(67,1),(68,1),(97,1)}
        49:{1,4,6}:{(32,1),(35,1),(39,1),(67,1),(108,1)}
        50:{2,4,6}:{(32,1),(36,1),(40,1),(68,1),(108,1)}
        51:{4,5,6}:{(33,1),(65,1),(70,1),(108,1)}
        52:{3,4,6}:{(33,1),(34,1),(41,1),(70,1),(71,1),(72,1),(99,1),(108,1)}
        53:{1,4,5,7}:{(34,1),(35,1),(42,1),(67,1),(71,1),(94,1)}
        54:{2,4,5,7}:{(34,1),(36,1),(43,1),(68,1),(72,1),(95,1)}
        55:{1,2,4,5}:{(35,1),(36,1),(44,1),(69,1),(74,1),(80,1)}
        56:{3,6,7}:{(37,1),(38,1),(41,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(67,1),(75,1),(77,1),(94,1),(97,1),(107,1)}
        58:{2,3,5,7}:{(38,1),(40,1),(68,1),(76,1),(77,1),(95,1),(97,1),(107,1)}
        59:{1,2,5,6}:{(39,1),(40,1),(44,1),(69,1),(77,1),(78,1)}
        60:{1,3,6}:{(41,1),(42,1),(71,1),(78,1),(99,1)}
        61:{2,3,6}:{(41,1),(43,1),(72,1),(78,1),(99,1)}
        62:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(78,1)}
        63:{1,2,3,5}:{(44,1),(46,1),(74,1),(80,1)}
        64:{1,2,3,7}:{(45,1),(46,1),(97,1)}
        65:{4,5,7}:{(47,1),(51,1),(81,1),(110,1)}
        66:{3,4,6,7}:{(47,1),(48,1),(52,1),(56,1),(81,1),(82,1),(83,1),(103,1),(110,1)}
        67:{1,4,7}:{(48,1),(49,1),(57,1),(110,1)}
        68:{2,4,7}:{(48,1),(50,1),(58,1),(110,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(55,1),(59,1),(84,1),(85,1)}
        70:{3,5,6}:{(51,1),(52,1),(81,1),(86,1),(87,1)}
        71:{1,4,6}:{(52,1),(53,1),(60,1),(86,1)}
        72:{2,4,6}:{(52,1),(54,1),(61,1),(87,1)}
        73:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(62,1),(84,1),(88,1),(89,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        74:{3,5}:{(55,1),(85,1),(90,1)}
        75:{1,3,6,7}:{(56,1),(57,1),(60,1),(82,1),(91,1),(103,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(61,1),(83,1),(91,1),(103,1)}
        77:{1,2,5,7}:{(57,1),(58,1),(59,1),(84,1),(91,1)}
        78:{1,2,6}:{(60,1),(61,1),(62,1)}
        79:{1,2,3,5,7}:{(62,1),(63,1),(64,1),(89,1),(92,1),(93,1),(106,1)}
        80:{1,2,4}:{(63,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(70,1),(94,1),(95,1)}
        82:{1,4,6,7}:{(66,1),(67,1),(71,1),(75,1),(94,1)}
        83:{2,4,6,7}:{(66,1),(68,1),(72,1),(76,1),(95,1)}
        84:{1,2,4,7}:{(67,1),(68,1),(69,1),(77,1),(97,1)}
        85:{3,6}:{(69,1),(74,1),(97,1)}
        86:{1,5,6}:{(70,1),(71,1),(94,1)}
        87:{2,5,6}:{(70,1),(72,1),(95,1)}
        88:{1,2,4,6}:{(71,1),(72,1),(73,1),(78,1),(98,1),(99,1),(108,1)}
        89:{3,5,7}:{(73,1),(74,1),(97,1),(99,1),(100,1),(109,1)}
        90:{3,4}:{(74,1),(80,1)}
        91:{1,2,6,7}:{(75,1),(76,1),(77,1),(78,1)}
        92:{1,2,3,6}:{(78,1),(79,1),(99,1),(101,1)}
        93:{1,2,4,7}:{(79,1),(80,1),(100,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(86,1)}
        95:{2,5,7}:{(81,1),(83,1),(87,1)}
        96:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(88,1),(91,1),(102,1),(103,1),(110,1)}
        97:{3,7}:{(84,1),(85,1)}
        98:{1,2,5,6}:{(86,1),(87,1),(88,1),(102,1),(104,1),(106,1)}
        99:{3,6}:{(88,1),(89,1)}
       100:{3,4,7}:{(89,1),(90,1),(93,1),(105,1),(110,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(98,1),(107,1)}
       103:{3,6,7}:{(96,1),(97,1),(99,1),(107,1)}
       104:{3,5,6}:{(98,1),(99,1),(107,1),(108,1),(109,1)}
       105:{3,4,6}:{(99,1),(100,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(104,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1022 :   0:{1,3,5,6,7}:{(2,1),(3,1),(13,1),(14,1),(36,1),(42,1),(80,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(13,1),(17,1),(40,1),(43,1),(77,1)}
         2:{1,2,5,6,7}:{(0,1),(1,1),(5,1),(28,1),(31,1),(58,1),(61,1),(64,1)}
         3:{1,4,6,7}:{(0,1),(6,1),(7,1),(56,1),(62,1),(100,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(9,1),(60,1),(63,1),(97,1)}
         5:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(12,1),(13,1),(16,1),(18,1),(44,1),(76,1),(79,1),(83,1)}
         6:{1,4,5,7}:{(3,1),(10,1),(14,1),(119,1)}
         7:{3,4,6,7}:{(3,1),(13,1),(14,1),(16,1),(35,1),(41,1),(118,1)}
         8:{2,4,5,7}:{(4,1),(11,1),(17,1),(116,1)}
         9:{3,4,6,7}:{(4,1),(13,1),(17,1),(18,1),(38,1),(41,1),(115,1)}
        10:{1,4,5,6}:{(6,1),(21,1),(56,1)}
        11:{2,4,5,6}:{(8,1),(22,1),(60,1)}
        12:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(20,1),(23,1),(28,1),(31,1),(62,1),(63,1),(64,1)}
        13:{3,6,7}:{(5,1),(23,1),(96,1),(99,1),(103,1)}
        14:{3,5,7}:{(6,1),(7,1),(21,1),(28,1),(132,1)}
        15:{1,3,4,6,7}:{(7,1),(24,1),(27,1),(29,1),(56,1),(62,1),(92,1),(96,1),(103,1),(105,1),(129,1)}
        16:{2,4,6,7}:{(7,1),(25,1),(28,1),(57,1),(63,1),(131,1)}
        17:{3,5,7}:{(8,1),(9,1),(22,1),(31,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(24,1),(31,1),(59,1),(62,1),(129,1)}
        19:{2,3,4,6,7}:{(9,1),(25,1),(32,1),(33,1),(60,1),(63,1),(93,1),(99,1),(103,1),(107,1),(131,1)}
        20:{1,2,4,5,6}:{(10,1),(11,1),(12,1),(34,1),(37,1),(39,1),(72,1),(73,1),(74,1),(76,1),(79,1),(110,1),(116,1),(119,1),(136,1),(137,1)}
        21:{3,5,6}:{(10,1),(14,1),(35,1),(37,1)}
        22:{3,5,6}:{(11,1),(17,1),(38,1),(39,1)}
        23:{3,5,7}:{(12,1),(13,1),(34,1),(41,1)}
        24:{1,3,6,7}:{(13,1),(18,1),(42,1),(44,1),(78,1),(114,1)}
        25:{2,3,6,7}:{(13,1),(16,1),(43,1),(44,1),(75,1),(117,1)}
        26:{3,4,5,7}:{(14,1),(35,1),(41,1),(45,1),(46,1),(71,1),(85,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(36,1),(45,1),(47,1),(85,1),(108,1),(136,1)}
        28:{2,5,7}:{(14,1),(16,1),(37,1),(137,1)}
        29:{1,2,4,6,7}:{(15,1),(16,1),(44,1),(47,1),(48,1),(76,1),(83,1),(86,1),(111,1)}
        30:{3,4,5,7}:{(17,1),(38,1),(41,1),(49,1),(50,1),(71,1),(88,1)}
        31:{1,5,7}:{(17,1),(18,1),(39,1),(136,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(40,1),(50,1),(51,1),(88,1),(109,1),(137,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(44,1),(51,1),(52,1),(79,1),(83,1),(89,1),(112,1)}
        34:{3,5,6}:{(20,1),(23,1),(53,1),(96,1),(99,1),(126,1),(130,1),(132,1)}
        35:{3,4,6}:{(21,1),(26,1),(56,1),(57,1),(96,1)}
        36:{1,3,5,6}:{(21,1),(27,1),(56,1),(58,1),(96,1)}
        37:{2,5,6}:{(21,1),(28,1),(57,1)}
        38:{3,4,6}:{(22,1),(30,1),(59,1),(60,1),(99,1)}
        39:{1,5,6}:{(22,1),(31,1),(59,1)}
        40:{2,3,5,6}:{(22,1),(32,1),(60,1),(61,1),(99,1)}
        41:{3,4,7}:{(23,1),(53,1),(62,1),(63,1),(103,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(31,1),(54,1),(62,1),(64,1),(103,1)}
        43:{2,3,5,7}:{(23,1),(25,1),(28,1),(55,1),(63,1),(64,1),(103,1)}
        44:{1,2,6,7}:{(24,1),(25,1),(64,1),(95,1),(98,1)}
        45:{1,4,5,7}:{(26,1),(27,1),(56,1),(62,1),(90,1)}
        46:{2,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(65,1),(91,1)}
        47:{1,2,5,7}:{(27,1),(28,1),(29,1),(58,1),(67,1),(124,1)}
        48:{2,3,6,7}:{(29,1),(67,1),(96,1),(103,1),(127,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(59,1),(62,1),(68,1),(90,1)}
        50:{2,4,5,7}:{(30,1),(32,1),(60,1),(63,1),(91,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(61,1),(70,1),(125,1)}
        52:{1,3,6,7}:{(33,1),(70,1),(99,1),(103,1),(128,1)}
        53:{3,4,6}:{(34,1),(41,1),(71,1),(72,1),(73,1),(113,1),(135,1)}
        54:{1,3,5,6}:{(34,1),(39,1),(42,1),(72,1),(74,1),(78,1),(108,1),(113,1),(114,1),(134,1),(136,1)}
        55:{2,3,5,6}:{(34,1),(37,1),(43,1),(73,1),(74,1),(75,1),(109,1),(113,1),(117,1),(133,1),(137,1)}
        56:{1,4,6}:{(35,1),(36,1),(45,1)}
        57:{2,4,6}:{(35,1),(37,1),(46,1),(75,1)}
        58:{1,2,5,6}:{(36,1),(37,1),(47,1),(76,1),(77,1),(136,1)}
        59:{1,4,6}:{(38,1),(39,1),(49,1),(78,1)}
        60:{2,4,6}:{(38,1),(40,1),(50,1)}
        61:{1,2,5,6}:{(39,1),(40,1),(51,1),(79,1),(80,1),(137,1)}
        62:{1,4,7}:{(41,1),(42,1),(72,1)}
        63:{2,4,7}:{(41,1),(43,1),(73,1)}
        64:{1,2,5,7}:{(42,1),(43,1),(44,1),(74,1),(83,1)}
        65:{2,3,5,7}:{(46,1),(75,1),(82,1),(84,1),(85,1),(109,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(76,1),(83,1),(84,1),(85,1),(86,1),(110,1),(116,1),(122,1),(136,1)}
        67:{2,3,5,7}:{(47,1),(48,1),(77,1),(85,1),(86,1),(133,1)}
        68:{1,3,5,7}:{(49,1),(78,1),(81,1),(87,1),(88,1),(108,1)}
        69:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(79,1),(83,1),(87,1),(88,1),(89,1),(110,1),(119,1),(123,1),(137,1)}
        70:{1,3,5,7}:{(51,1),(52,1),(80,1),(88,1),(89,1),(134,1)}
        71:{3,4,5}:{(53,1),(90,1),(91,1),(126,1),(130,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(62,1),(90,1),(139,1)}
        73:{2,4,6}:{(53,1),(55,1),(63,1),(91,1),(138,1)}
        74:{1,2,5,6}:{(54,1),(55,1),(64,1),(94,1),(95,1),(98,1),(124,1),(125,1)}
        75:{2,3,6}:{(57,1),(65,1),(95,1),(96,1)}
        76:{1,2,4,6}:{(56,1),(57,1),(58,1),(66,1),(95,1),(96,1),(97,1),(129,1)}
        77:{2,3,5,6}:{(58,1),(67,1),(96,1),(97,1),(130,1)}
        78:{1,3,6}:{(59,1),(68,1),(98,1),(99,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(69,1),(98,1),(99,1),(100,1),(131,1)}
        80:{1,3,5,6}:{(61,1),(70,1),(99,1),(100,1),(132,1)}
        81:{1,3,4,7}:{(62,1),(68,1),(92,1),(101,1),(103,1),(107,1)}
        82:{2,3,4,7}:{(63,1),(65,1),(93,1),(102,1),(103,1),(105,1)}
        83:{1,2,4,7}:{(62,1),(63,1),(64,1),(94,1),(103,1)}
        84:{1,2,5,7}:{(65,1),(95,1),(102,1),(104,1),(125,1)}
        85:{3,5,7}:{(66,1),(96,1),(103,1),(105,1),(126,1),(130,1)}
        86:{2,4,7}:{(67,1),(97,1),(105,1),(138,1)}
        87:{1,2,5,7}:{(68,1),(98,1),(101,1),(106,1),(124,1)}
        88:{3,5,7}:{(69,1),(99,1),(103,1),(107,1),(126,1),(132,1)}
        89:{1,4,7}:{(70,1),(100,1),(107,1),(139,1)}
        90:{1,4,5}:{(71,1),(72,1),(108,1),(136,1)}
        91:{2,4,5}:{(71,1),(73,1),(109,1),(137,1)}
        92:{1,3,4,6}:{(72,1),(78,1),(81,1),(108,1),(111,1),(113,1),(118,1),(135,1)}
        93:{2,3,4,6}:{(73,1),(75,1),(82,1),(109,1),(112,1),(113,1),(115,1),(135,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(83,1),(110,1),(113,1)}
        95:{1,2,6}:{(75,1),(84,1),(114,1)}
        96:{3,6}:{(76,1),(85,1)}
        97:{2,4,6}:{(77,1),(86,1),(115,1),(116,1)}
        98:{1,2,6}:{(78,1),(87,1),(117,1)}
        99:{3,6}:{(79,1),(88,1)}
       100:{1,4,6}:{(80,1),(89,1),(118,1),(119,1)}
       101:{1,2,4,7}:{(81,1),(87,1),(111,1),(120,1),(123,1)}
       102:{1,2,4,7}:{(82,1),(84,1),(112,1),(121,1),(122,1)}
       103:{3,7}:{(83,1),(113,1)}
       104:{1,3,5,7}:{(84,1),(85,1),(114,1),(121,1),(122,1),(134,1),(136,1)}
       105:{3,4,7}:{(85,1),(86,1),(115,1),(122,1),(135,1)}
       106:{2,3,5,7}:{(87,1),(88,1),(117,1),(120,1),(123,1),(133,1),(137,1)}
       107:{3,4,7}:{(88,1),(89,1),(118,1),(123,1),(135,1)}
       108:{1,3,5}:{(90,1),(92,1),(124,1),(126,1),(132,1)}
       109:{2,3,5}:{(91,1),(93,1),(125,1),(126,1),(130,1)}
       110:{1,2,4,5}:{(90,1),(91,1),(94,1),(124,1),(125,1),(126,1),(138,1),(139,1)}
       111:{1,2,4,6}:{(92,1),(98,1),(101,1),(124,1),(127,1),(131,1),(138,1)}
       112:{1,2,4,6}:{(93,1),(95,1),(102,1),(125,1),(128,1),(129,1),(139,1)}
       113:{3,6}:{(94,1),(103,1),(126,1)}
       114:{1,3,6}:{(95,1),(96,1),(104,1),(129,1)}
       115:{3,4,6}:{(96,1),(97,1),(105,1),(129,1),(130,1)}
       116:{2,4,5}:{(97,1),(130,1)}
       117:{2,3,6}:{(98,1),(99,1),(106,1),(131,1)}
       118:{3,4,6}:{(99,1),(100,1),(107,1),(131,1),(132,1)}
       119:{1,4,5}:{(100,1),(132,1)}
       120:{2,3,7}:{(101,1),(103,1),(127,1)}
       121:{1,3,7}:{(102,1),(103,1),(128,1)}
       122:{1,4,7}:{(104,1),(105,1),(129,1),(139,1)}
       123:{2,4,7}:{(106,1),(107,1),(131,1),(138,1)}
       124:{1,2,5}:{(108,1),(111,1),(133,1),(137,1)}
       125:{1,2,5}:{(109,1),(112,1),(134,1),(136,1)}
       126:{3,5}:{(110,1),(113,1),(135,1)}
       127:{2,3,6}:{(111,1),(113,1),(120,1),(133,1)}
       128:{1,3,6}:{(112,1),(113,1),(121,1),(134,1)}
       129:{1,4,6}:{(114,1),(115,1),(122,1),(136,1)}
       130:{3,5}:{(115,1),(116,1),(136,1)}
       131:{2,4,6}:{(117,1),(118,1),(123,1),(137,1)}
       132:{3,5}:{(118,1),(119,1),(137,1)}
       133:{2,3,5}:{(124,1),(126,1),(127,1),(138,1)}
       134:{1,3,5}:{(125,1),(126,1),(128,1),(139,1)}
       135:{3,4}:{(126,1),(138,1),(139,1)}
       136:{1,5}:{(129,1),(130,1)}
       137:{2,5}:{(131,1),(132,1)}
       138:{2,4}:{(133,1),(135,1)}
       139:{1,4}:{(134,1),(135,1)}

1023 :   0:{1,2,3,5,6}:{(1,1),(2,1),(7,1),(10,1),(35,1),(37,1),(39,1),(42,1),(45,1),(78,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(50,1),(52,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(18,1),(24,1),(28,1),(57,1),(58,1),(60,1)}
         3:{3,4,6}:{(1,1),(10,1),(11,1),(42,1)}
         4:{1,2,4,5}:{(1,1),(10,1),(31,1),(32,1),(35,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(71,1),(73,1)}
         6:{1,2,3,6,7}:{(2,1),(14,1),(42,1),(78,1),(79,1),(80,1)}
         7:{1,2,3,6}:{(15,1),(17,1),(18,1),(83,1)}
         8:{2,3,4,6}:{(3,1),(17,1),(19,1),(20,1),(46,1),(50,1),(59,1),(83,1),(85,1)}
         9:{1,3,4,6}:{(3,1),(17,1),(21,1),(22,1),(46,1),(52,1),(61,1),(83,1),(85,1)}
        10:{3,5}:{(3,1),(4,1)}
        11:{3,4,7}:{(3,1),(5,1),(24,1)}
        12:{1,2,4,5,6}:{(4,1),(23,1),(26,1),(27,1),(50,1),(52,1),(56,1),(90,1),(92,1),(94,1)}
        13:{1,2,4,5,7}:{(4,1),(5,1),(24,1),(27,1),(28,1),(51,1),(53,1),(57,1),(64,1)}
        14:{1,2,4,6,7}:{(5,1),(6,1),(25,1),(27,1),(28,1),(89,1),(91,1)}
        15:{1,2,3,5}:{(7,1),(29,1),(35,1),(66,1)}
        16:{3,4,5}:{(10,1),(31,1),(32,1),(33,1),(66,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(9,1),(29,1),(35,1),(36,1),(78,1)}
        18:{1,2,3,7}:{(7,1),(36,1),(97,1)}
        19:{2,3,5}:{(8,1),(10,1),(31,1),(35,1),(66,1),(99,1)}
        20:{2,3,4,7}:{(8,1),(11,1),(36,1),(38,1),(67,1),(71,1),(97,1)}
        21:{1,3,5}:{(9,1),(10,1),(32,1),(35,1),(66,1),(99,1)}
        22:{1,3,4,7}:{(9,1),(11,1),(36,1),(40,1),(67,1),(73,1),(97,1)}
        23:{3,5,6}:{(10,1),(12,1),(33,1),(41,1),(42,1)}
        24:{3,5,7}:{(10,1),(11,1),(13,1),(42,1)}
        25:{3,4,6,7}:{(11,1),(14,1),(42,1),(43,1),(82,1)}
        26:{1,2,4,5,7}:{(12,1),(41,1),(44,1),(71,1),(73,1),(77,1),(102,1),(103,1),(104,1)}
        27:{1,2,4,6}:{(13,1),(42,1),(45,1),(72,1),(74,1),(78,1),(82,1)}
        28:{1,2,5,7}:{(14,1),(43,1),(45,1),(102,1),(103,1)}
        29:{1,2,4}:{(15,1),(46,1)}
        30:{1,2,3,5,7}:{(15,1),(18,1),(48,1),(49,1),(57,1),(84,1),(88,1)}
        31:{2,4,5}:{(16,1),(19,1),(50,1),(107,1)}
        32:{1,4,5}:{(16,1),(21,1),(52,1),(107,1)}
        33:{3,4,6}:{(16,1),(23,1),(50,1),(52,1),(54,1),(83,1)}
        34:{3,4,5,7}:{(16,1),(24,1),(51,1),(53,1),(54,1),(55,1),(64,1),(84,1),(93,1),(107,1),(111,1)}
        35:{1,2,5}:{(17,1),(19,1),(21,1)}
        36:{1,2,4,7}:{(17,1),(18,1),(20,1),(22,1),(57,1)}
        37:{2,3,5,6}:{(19,1),(23,1),(50,1),(56,1),(58,1),(59,1),(83,1),(90,1),(106,1)}
        38:{2,3,5,7}:{(19,1),(20,1),(24,1),(51,1),(57,1),(59,1),(84,1)}
        39:{1,3,5,6}:{(21,1),(23,1),(52,1),(56,1),(60,1),(61,1),(83,1),(92,1),(106,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(24,1),(53,1),(57,1),(61,1),(84,1)}
        41:{3,5,7}:{(23,1),(26,1),(54,1),(62,1)}
        42:{3,6}:{(24,1),(27,1)}
        43:{3,5,7}:{(25,1),(28,1),(63,1),(64,1)}
        44:{1,2,4,6,7}:{(26,1),(27,1),(62,1),(65,1),(89,1),(91,1),(95,1),(96,1)}
        45:{1,2,5,6}:{(27,1),(28,1),(63,1),(90,1),(92,1)}
        46:{3,4}:{(29,1),(66,1)}
        47:{1,2,4,5}:{(29,1),(31,1),(32,1),(35,1),(66,1),(68,1)}
        48:{1,2,4,7}:{(29,1),(30,1),(67,1),(70,1)}
        49:{1,2,3,6}:{(30,1),(70,1),(78,1),(98,1)}
        50:{2,4,6}:{(31,1),(33,1),(37,1),(71,1),(110,1)}
        51:{2,4,5,7}:{(31,1),(34,1),(38,1),(71,1),(72,1),(102,1)}
        52:{1,4,6}:{(32,1),(33,1),(39,1),(73,1),(110,1)}
        53:{1,4,5,7}:{(32,1),(34,1),(40,1),(73,1),(74,1),(103,1)}
        54:{3,4,7}:{(33,1),(41,1),(71,1),(73,1),(97,1)}
        55:{3,4,6}:{(34,1),(42,1),(72,1),(74,1),(76,1),(82,1),(98,1),(110,1)}
        56:{1,2,5,6}:{(35,1),(37,1),(39,1),(68,1),(77,1),(78,1)}
        57:{1,2,5,7}:{(35,1),(36,1),(38,1),(40,1),(78,1)}
        58:{2,3,5,7}:{(37,1),(41,1),(71,1),(77,1),(79,1),(97,1),(102,1),(109,1)}
        59:{2,3,6}:{(38,1),(42,1),(72,1),(78,1),(98,1)}
        60:{1,3,5,7}:{(39,1),(41,1),(73,1),(77,1),(80,1),(97,1),(103,1),(109,1)}
        61:{1,3,6}:{(40,1),(42,1),(74,1),(78,1),(98,1)}
        62:{3,6,7}:{(41,1),(42,1),(44,1)}
        63:{3,5,6}:{(42,1),(43,1),(45,1),(82,1)}
        64:{4,5,7}:{(43,1),(82,1)}
        65:{1,2,5,6,7}:{(44,1),(45,1),(81,1),(102,1),(103,1)}
        66:{3,5}:{(46,1),(47,1),(83,1)}
        67:{3,4,7}:{(46,1),(48,1),(84,1),(85,1),(111,1)}
        68:{1,2,4,6}:{(47,1),(50,1),(52,1),(56,1),(83,1),(86,1)}
        69:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(53,1),(57,1),(84,1),(86,1),(87,1),(88,1),(107,1),(108,1),(111,1)}
        70:{1,2,4,6}:{(48,1),(49,1),(85,1),(88,1)}
        71:{2,4,7}:{(50,1),(54,1),(58,1),(111,1)}
        72:{2,4,6}:{(51,1),(55,1),(59,1),(90,1)}
        73:{1,4,7}:{(52,1),(54,1),(60,1),(111,1)}
        74:{1,4,6}:{(53,1),(55,1),(61,1),(92,1)}
        75:{3,4,6,7}:{(54,1),(55,1),(62,1),(89,1),(91,1),(93,1),(96,1),(105,1),(111,1)}
        76:{3,5,6}:{(55,1),(90,1),(92,1),(93,1),(94,1)}
        77:{1,2,5,7}:{(56,1),(58,1),(60,1),(86,1),(95,1)}
        78:{1,2,6}:{(57,1),(59,1),(61,1)}
        79:{2,3,6,7}:{(58,1),(59,1),(62,1),(89,1),(95,1),(105,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(62,1),(91,1),(95,1),(105,1)}
        81:{3,5,6,7}:{(62,1),(63,1),(65,1),(93,1),(96,1)}
        82:{4,6}:{(63,1),(64,1)}
        83:{3,6}:{(66,1),(68,1),(97,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(97,1),(98,1),(99,1)}
        85:{3,4,6}:{(67,1),(70,1),(98,1),(99,1),(110,1)}
        86:{1,2,4,7}:{(68,1),(71,1),(73,1),(77,1),(97,1)}
        87:{1,2,4,6}:{(69,1),(72,1),(74,1),(78,1),(98,1),(101,1),(110,1)}
        88:{1,2,5}:{(70,1),(99,1)}
        89:{2,4,6,7}:{(71,1),(72,1),(75,1),(79,1),(102,1)}
        90:{2,5,6}:{(72,1),(76,1),(102,1)}
        91:{1,4,6,7}:{(73,1),(74,1),(75,1),(80,1),(103,1)}
        92:{1,5,6}:{(74,1),(76,1),(103,1)}
        93:{3,5,7}:{(75,1),(76,1),(102,1),(103,1),(104,1)}
        94:{4,5,6}:{(76,1),(82,1),(104,1),(110,1)}
        95:{1,2,6,7}:{(77,1),(78,1),(79,1),(80,1)}
        96:{4,6,7}:{(81,1),(82,1),(104,1)}
        97:{3,7}:{(83,1),(86,1)}
        98:{3,6}:{(84,1),(87,1)}
        99:{3,5}:{(85,1),(88,1),(107,1)}
       100:{1,2,4,6,7}:{(86,1),(87,1),(89,1),(91,1),(95,1),(105,1),(108,1),(111,1)}
       101:{1,2,5,6}:{(87,1),(88,1),(90,1),(92,1),(106,1),(108,1)}
       102:{2,5,7}:{(89,1),(90,1),(93,1)}
       103:{1,5,7}:{(91,1),(92,1),(93,1)}
       104:{4,5,7}:{(93,1),(94,1),(96,1),(111,1)}
       105:{3,6,7}:{(97,1),(98,1),(100,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(101,1),(109,1),(110,1)}
       107:{4,5}:{(99,1),(110,1)}
       108:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(109,1)}
       109:{3,5,7}:{(105,1),(106,1),(108,1),(111,1)}
       110:{4,6}:{(106,1),(107,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1024 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(20,1),(51,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(32,1),(66,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(46,1),(81,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(18,1),(23,1),(45,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(19,1),(23,1),(44,1),(83,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(61,1),(101,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(60,1),(100,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(30,1),(31,1),(103,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(41,1),(81,1),(150,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(21,1),(23,1),(37,1),(46,1)}
        13:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(23,1),(38,1),(46,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(23,1),(122,1)}
        15:{1,2,3,5,6,7}:{(8,1),(23,1),(24,1),(44,1),(45,1),(47,1),(50,1),(70,1),(82,1),(83,1),(84,1),(125,1),(157,1),(169,1),(171,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(25,1),(101,1),(158,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(26,1),(100,1),(161,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(25,1),(30,1),(32,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(26,1),(31,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(32,1),(60,1),(61,1)}
        21:{1,2,4,6,7}:{(12,1),(30,1),(33,1),(52,1),(60,1)}
        22:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(53,1),(61,1)}
        23:{3,6,7}:{(14,1),(32,1),(142,1)}
        24:{1,2,4,6,7}:{(15,1),(35,1),(36,1),(60,1),(61,1),(90,1),(100,1),(101,1),(173,1),(174,1)}
        25:{1,3,5,6}:{(16,1),(18,1),(37,1),(39,1),(41,1),(144,1)}
        26:{2,3,5,6}:{(17,1),(19,1),(38,1),(40,1),(41,1),(147,1)}
        27:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(39,1),(40,1),(41,1),(71,1),(72,1),(111,1),(122,1)}
        28:{1,3,4,5,7}:{(18,1),(37,1),(42,1),(46,1),(73,1),(80,1),(115,1),(121,1),(144,1)}
        29:{2,3,4,5,7}:{(19,1),(38,1),(43,1),(46,1),(73,1),(79,1),(118,1),(121,1),(147,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(39,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(40,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(41,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(68,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(69,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(50,1),(81,1),(110,1),(157,1),(172,1)}
        36:{1,2,4,5,7}:{(24,1),(50,1),(51,1),(79,1),(80,1),(82,1),(111,1)}
        37:{1,3,4,6}:{(25,1),(28,1),(52,1),(56,1),(101,1),(142,1)}
        38:{2,3,4,6}:{(26,1),(29,1),(53,1),(56,1),(100,1),(142,1)}
        39:{1,2,5,6}:{(25,1),(30,1),(52,1),(54,1),(127,1)}
        40:{1,2,5,6}:{(26,1),(31,1),(53,1),(55,1),(130,1)}
        41:{3,5,6}:{(27,1),(32,1),(56,1),(132,1),(142,1)}
        42:{1,2,4,5,7}:{(28,1),(30,1),(52,1),(57,1),(60,1),(91,1),(94,1),(127,1)}
        43:{1,2,4,5,7}:{(29,1),(31,1),(53,1),(58,1),(61,1),(92,1),(96,1),(130,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(54,1),(60,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(55,1),(61,1)}
        46:{3,4,7}:{(32,1),(56,1),(60,1),(61,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(59,1),(63,1),(86,1),(88,1),(142,1),(166,1),(167,1)}
        48:{2,3,4,6,7}:{(33,1),(35,1),(60,1),(63,1),(64,1),(87,1),(98,1),(100,1),(129,1),(142,1),(167,1),(174,1)}
        49:{1,3,4,6,7}:{(34,1),(35,1),(61,1),(63,1),(65,1),(89,1),(98,1),(101,1),(126,1),(142,1),(166,1),(173,1)}
        50:{3,5,7}:{(35,1),(36,1),(66,1),(132,1)}
        51:{1,2,4,5,6}:{(36,1),(66,1),(100,1),(101,1),(103,1)}
        52:{1,2,4,6}:{(37,1),(39,1),(42,1),(68,1),(71,1)}
        53:{1,2,4,6}:{(38,1),(40,1),(43,1),(69,1),(72,1)}
        54:{2,3,5,6}:{(39,1),(41,1),(44,1),(68,1),(71,1),(107,1)}
        55:{1,3,5,6}:{(40,1),(41,1),(45,1),(69,1),(72,1),(109,1)}
        56:{3,4,6}:{(41,1),(46,1),(71,1),(72,1),(73,1)}
        57:{2,3,5,7}:{(42,1),(68,1),(75,1),(107,1),(121,1)}
        58:{1,3,5,7}:{(43,1),(69,1),(77,1),(109,1),(121,1)}
        59:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(70,1),(78,1),(82,1),(121,1),(169,1),(171,1)}
        60:{2,4,7}:{(44,1),(46,1),(71,1)}
        61:{1,4,7}:{(45,1),(46,1),(72,1)}
        62:{3,4,5,7}:{(46,1),(50,1),(73,1),(79,1),(80,1),(81,1),(121,1),(150,1),(172,1)}
        63:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(78,1),(82,1),(106,1),(108,1),(122,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(79,1),(82,1),(83,1),(107,1),(121,1),(147,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(80,1),(82,1),(84,1),(109,1),(121,1),(144,1)}
        66:{3,5,6}:{(50,1),(51,1),(81,1)}
        67:{1,2,4,5,6,7}:{(51,1),(85,1),(123,1),(124,1),(125,1),(152,1)}
        68:{2,3,6}:{(52,1),(57,1),(142,1)}
        69:{1,3,6}:{(53,1),(58,1),(142,1)}
        70:{1,2,3,5,6}:{(54,1),(55,1),(59,1),(86,1),(88,1),(90,1),(103,1),(127,1),(130,1),(132,1),(142,1),(159,1),(162,1)}
        71:{2,4,6}:{(54,1),(56,1),(60,1),(91,1)}
        72:{1,4,6}:{(55,1),(56,1),(61,1),(92,1)}
        73:{3,4,5}:{(56,1),(91,1),(92,1),(132,1)}
        74:{1,2,3,5,7}:{(57,1),(86,1),(94,1),(127,1),(136,1)}
        75:{2,3,4,7}:{(57,1),(60,1),(87,1),(94,1),(98,1)}
        76:{1,2,3,5,7}:{(58,1),(88,1),(96,1),(130,1),(139,1)}
        77:{1,3,4,7}:{(58,1),(61,1),(89,1),(96,1),(98,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(61,1),(90,1),(98,1),(173,1),(174,1)}
        79:{2,4,5,7}:{(60,1),(62,1),(64,1),(91,1),(100,1),(161,1),(174,1)}
        80:{1,4,5,7}:{(61,1),(62,1),(65,1),(92,1),(101,1),(158,1),(173,1)}
        81:{3,4,6}:{(62,1),(66,1),(100,1),(101,1),(142,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(65,1),(103,1),(127,1),(130,1)}
        83:{2,3,5,6}:{(64,1),(66,1),(100,1),(103,1),(142,1)}
        84:{1,3,5,6}:{(65,1),(66,1),(101,1),(103,1),(142,1)}
        85:{3,5,6,7}:{(66,1),(67,1),(102,1),(165,1)}
        86:{1,2,3,6}:{(68,1),(74,1),(106,1),(153,1)}
        87:{2,3,4,6}:{(68,1),(71,1),(75,1),(106,1),(107,1),(110,1)}
        88:{1,2,3,6}:{(69,1),(76,1),(108,1),(155,1)}
        89:{1,3,4,6}:{(69,1),(72,1),(77,1),(108,1),(109,1),(110,1)}
        90:{1,2,4,6}:{(70,1),(71,1),(72,1),(78,1),(110,1),(111,1),(168,1),(170,1)}
        91:{2,4,5}:{(71,1),(73,1),(107,1)}
        92:{1,4,5}:{(72,1),(73,1),(109,1)}
        93:{3,4,5,6}:{(73,1),(81,1),(112,1),(113,1),(114,1),(151,1)}
        94:{1,2,4,7}:{(74,1),(75,1),(106,1),(115,1)}
        95:{2,3,4,5,7}:{(75,1),(79,1),(107,1),(116,1),(117,1),(121,1),(146,1),(150,1),(172,1)}
        96:{1,2,4,7}:{(76,1),(77,1),(108,1),(118,1)}
        97:{1,3,4,5,7}:{(77,1),(80,1),(109,1),(119,1),(120,1),(121,1),(149,1),(150,1),(172,1)}
        98:{3,4,7}:{(78,1),(110,1),(121,1)}
        99:{1,2,4,5,7}:{(78,1),(79,1),(80,1),(82,1),(111,1),(121,1),(122,1)}
       100:{2,4,6}:{(79,1),(81,1),(83,1)}
       101:{1,4,6}:{(80,1),(81,1),(84,1)}
       102:{3,4,6,7}:{(81,1),(85,1),(114,1),(123,1),(124,1),(157,1),(172,1)}
       103:{1,2,5,6}:{(82,1),(83,1),(84,1),(122,1)}
       104:{2,3,5,6,7}:{(83,1),(85,1),(123,1),(125,1),(146,1),(157,1),(171,1)}
       105:{1,3,5,6,7}:{(84,1),(85,1),(124,1),(125,1),(149,1),(157,1),(169,1)}
       106:{1,2,4,6}:{(86,1),(87,1),(94,1),(126,1),(127,1)}
       107:{2,3,5}:{(87,1),(91,1),(127,1),(132,1)}
       108:{1,2,4,6}:{(88,1),(89,1),(96,1),(129,1),(130,1)}
       109:{1,3,5}:{(89,1),(92,1),(130,1),(132,1)}
       110:{3,4,6}:{(90,1),(98,1),(132,1),(142,1)}
       111:{1,2,4,5}:{(90,1),(91,1),(92,1),(127,1),(130,1),(132,1),(158,1),(161,1)}
       112:{2,4,5,6}:{(91,1),(93,1),(100,1),(128,1),(134,1)}
       113:{1,4,5,6}:{(92,1),(93,1),(101,1),(131,1),(135,1)}
       114:{3,4,5,7}:{(93,1),(102,1),(134,1),(135,1),(165,1)}
       115:{1,3,4,7}:{(94,1),(98,1),(126,1),(136,1),(173,1)}
       116:{1,2,4,5,7}:{(94,1),(95,1),(127,1),(136,1),(137,1),(158,1),(160,1),(173,1)}
       117:{2,3,4,6}:{(95,1),(100,1),(128,1),(137,1),(142,1),(164,1)}
       118:{2,3,4,7}:{(96,1),(98,1),(129,1),(139,1),(174,1)}
       119:{1,2,4,5,7}:{(96,1),(97,1),(130,1),(139,1),(140,1),(161,1),(163,1),(174,1)}
       120:{1,3,4,6}:{(97,1),(101,1),(131,1),(140,1),(142,1),(164,1)}
       121:{3,5,7}:{(98,1),(99,1),(132,1),(142,1)}
       122:{1,2,4,6}:{(99,1),(100,1),(101,1),(103,1),(142,1)}
       123:{2,4,6,7}:{(100,1),(102,1),(104,1),(134,1),(174,1)}
       124:{1,4,6,7}:{(101,1),(102,1),(105,1),(135,1),(173,1)}
       125:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(143,1),(160,1),(163,1)}
       126:{1,3,4,6}:{(106,1),(110,1),(115,1),(144,1),(153,1),(168,1)}
       127:{1,2,5}:{(106,1),(107,1),(144,1)}
       128:{2,3,5,6}:{(107,1),(112,1),(117,1),(145,1),(146,1),(151,1)}
       129:{2,3,4,6}:{(108,1),(110,1),(118,1),(147,1),(155,1),(170,1)}
       130:{1,2,5}:{(108,1),(109,1),(147,1)}
       131:{1,3,5,6}:{(109,1),(113,1),(120,1),(148,1),(149,1),(151,1)}
       132:{3,5}:{(110,1),(111,1)}
       133:{1,2,4,5,6}:{(111,1),(112,1),(113,1),(122,1),(145,1),(148,1),(151,1),(152,1),(168,1),(170,1)}
       134:{2,4,5,7}:{(112,1),(114,1),(123,1),(146,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(124,1),(149,1)}
       136:{1,3,5,7}:{(115,1),(116,1),(121,1),(144,1),(153,1)}
       137:{1,2,4,6}:{(116,1),(117,1),(145,1),(153,1),(168,1)}
       138:{2,3,4,6,7}:{(117,1),(123,1),(146,1),(154,1),(157,1),(172,1)}
       139:{2,3,5,7}:{(118,1),(119,1),(121,1),(147,1),(155,1)}
       140:{1,2,4,6}:{(119,1),(120,1),(148,1),(155,1),(170,1)}
       141:{1,3,4,6,7}:{(120,1),(124,1),(149,1),(156,1),(157,1),(172,1)}
       142:{3,6}:{(121,1),(122,1)}
       143:{1,2,4,6,7}:{(122,1),(123,1),(124,1),(125,1),(152,1),(157,1)}
       144:{1,3,5}:{(126,1),(127,1),(132,1),(158,1)}
       145:{1,2,5,6}:{(127,1),(128,1),(137,1),(159,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(134,1),(138,1),(160,1),(165,1)}
       147:{2,3,5}:{(129,1),(130,1),(132,1),(161,1)}
       148:{1,2,5,6}:{(130,1),(131,1),(140,1),(162,1),(163,1)}
       149:{1,3,5,7}:{(131,1),(135,1),(141,1),(163,1),(165,1)}
       150:{3,4,5}:{(132,1),(158,1),(161,1),(164,1)}
       151:{3,5,6}:{(132,1),(133,1),(142,1),(164,1),(165,1)}
       152:{1,2,4,5,7}:{(133,1),(134,1),(135,1),(143,1),(160,1),(163,1),(165,1),(173,1),(174,1)}
       153:{1,3,6}:{(136,1),(137,1),(142,1)}
       154:{1,2,4,6,7}:{(137,1),(138,1),(160,1),(166,1),(173,1)}
       155:{2,3,6}:{(139,1),(140,1),(142,1)}
       156:{1,2,4,6,7}:{(140,1),(141,1),(163,1),(167,1),(174,1)}
       157:{3,6,7}:{(142,1),(143,1),(165,1)}
       158:{1,4,5}:{(144,1),(150,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(151,1),(153,1),(168,1),(169,1)}
       160:{1,2,5,7}:{(145,1),(146,1),(154,1),(169,1)}
       161:{2,4,5}:{(147,1),(150,1),(170,1)}
       162:{2,3,5,6}:{(147,1),(148,1),(151,1),(155,1),(170,1),(171,1)}
       163:{1,2,5,7}:{(148,1),(149,1),(156,1),(171,1)}
       164:{3,4,6}:{(150,1),(151,1),(168,1),(170,1),(172,1)}
       165:{3,5,7}:{(151,1),(152,1),(157,1),(172,1)}
       166:{1,3,6,7}:{(153,1),(154,1),(157,1),(169,1)}
       167:{2,3,6,7}:{(155,1),(156,1),(157,1),(171,1)}
       168:{1,4,6}:{(158,1),(159,1),(164,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(165,1),(166,1),(173,1)}
       170:{2,4,6}:{(161,1),(162,1),(164,1),(174,1)}
       171:{2,3,5,7}:{(162,1),(163,1),(165,1),(167,1),(174,1)}
       172:{3,4,7}:{(164,1),(165,1),(173,1),(174,1)}
       173:{1,4,7}:{(168,1),(169,1),(172,1)}
       174:{2,4,7}:{(170,1),(171,1),(172,1)}

1025 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1),(11,1),(30,1),(32,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(22,1),(50,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(48,1)}
         3:{3,4,7}:{(2,1),(9,1),(10,1),(69,1),(79,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1)}
         5:{1,2,4,5,7}:{(2,1),(10,1),(11,1),(12,1),(27,1),(28,1),(32,1),(37,1),(40,1),(70,1),(79,1),(117,1)}
         6:{1,2,3,7}:{(15,1),(16,1),(90,1),(133,1),(146,1)}
         7:{2,3,4,7}:{(3,1),(16,1),(17,1),(18,1),(41,1),(91,1),(98,1),(133,1)}
         8:{1,3,4,7}:{(3,1),(16,1),(19,1),(20,1),(41,1),(92,1),(101,1),(133,1)}
         9:{3,4,6}:{(3,1),(4,1),(21,1),(22,1),(57,1)}
        10:{3,5,7}:{(3,1),(5,1),(21,1),(22,1),(93,1),(133,1)}
        11:{1,2,5}:{(4,1),(21,1)}
        12:{1,2,4,6}:{(5,1),(22,1),(23,1),(44,1),(45,1),(50,1),(57,1)}
        13:{1,2,3,5,7}:{(6,1),(25,1),(26,1),(30,1),(32,1),(60,1),(61,1)}
        14:{3,4,5,7}:{(10,1),(27,1),(28,1),(29,1),(37,1),(60,1),(68,1),(73,1),(76,1),(79,1),(102,1),(119,1),(121,1),(136,1)}
        15:{1,2,3,6}:{(6,1),(30,1),(31,1),(116,1),(141,1)}
        16:{1,2,4,7}:{(6,1),(7,1),(8,1),(31,1),(32,1),(113,1)}
        17:{2,3,4,6}:{(7,1),(9,1),(31,1),(33,1),(34,1),(59,1),(69,1),(74,1),(116,1)}
        18:{2,3,5,7}:{(7,1),(10,1),(27,1),(32,1),(33,1),(34,1),(60,1),(114,1),(142,1)}
        19:{1,3,4,6}:{(8,1),(9,1),(31,1),(35,1),(36,1),(59,1),(69,1),(77,1),(116,1)}
        20:{1,3,5,7}:{(8,1),(10,1),(28,1),(32,1),(35,1),(36,1),(60,1),(115,1),(143,1)}
        21:{3,5}:{(9,1),(11,1),(37,1)}
        22:{3,6}:{(10,1),(12,1)}
        23:{1,2,5,6}:{(11,1),(12,1),(38,1),(40,1),(63,1),(65,1)}
        24:{1,2,4,6,7}:{(12,1),(39,1),(40,1),(64,1),(66,1),(72,1),(79,1),(117,1)}
        25:{1,2,3,6}:{(13,1),(42,1),(50,1),(81,1)}
        26:{1,2,4,7}:{(13,1),(41,1),(42,1),(48,1)}
        27:{2,4,5,7}:{(14,1),(18,1),(44,1),(51,1),(85,1),(98,1),(99,1),(135,1)}
        28:{1,4,5,7}:{(14,1),(20,1),(45,1),(54,1),(87,1),(96,1),(101,1),(134,1)}
        29:{3,4,6}:{(14,1),(22,1),(44,1),(45,1),(46,1),(57,1),(81,1),(122,1)}
        30:{1,2,3,5}:{(15,1),(48,1),(49,1),(90,1),(93,1),(130,1)}
        31:{1,2,4,6}:{(15,1),(16,1),(17,1),(19,1),(48,1),(49,1),(50,1)}
        32:{1,2,5,7}:{(16,1),(18,1),(20,1),(49,1),(50,1),(130,1),(146,1)}
        33:{2,3,5}:{(17,1),(21,1),(49,1),(51,1),(80,1),(93,1)}
        34:{2,3,6}:{(18,1),(22,1),(44,1),(50,1),(81,1)}
        35:{1,3,5}:{(19,1),(21,1),(49,1),(54,1),(80,1),(93,1)}
        36:{1,3,6}:{(20,1),(22,1),(45,1),(50,1),(81,1)}
        37:{4,5}:{(21,1),(57,1)}
        38:{3,5,6}:{(21,1),(22,1),(23,1),(57,1),(58,1)}
        39:{3,6,7}:{(22,1),(24,1),(58,1),(133,1)}
        40:{1,2,5,7}:{(23,1),(24,1),(58,1),(85,1),(87,1)}
        41:{3,4,7}:{(26,1),(59,1),(60,1),(69,1),(136,1)}
        42:{1,2,4,6}:{(25,1),(26,1),(59,1),(61,1)}
        43:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(32,1),(60,1),(61,1),(62,1),(70,1),(102,1),(105,1),(117,1),(136,1)}
        44:{2,4,6}:{(27,1),(29,1),(34,1),(63,1)}
        45:{1,4,6}:{(28,1),(29,1),(36,1),(65,1)}
        46:{3,5,6}:{(29,1),(63,1),(65,1),(67,1),(68,1)}
        47:{3,4,6,7}:{(29,1),(39,1),(64,1),(66,1),(68,1),(79,1),(104,1),(112,1),(119,1),(121,1),(136,1),(137,1),(139,1)}
        48:{1,2,4}:{(30,1),(69,1)}
        49:{1,2,5}:{(31,1),(33,1),(35,1)}
        50:{1,2,6}:{(32,1),(34,1),(36,1)}
        51:{2,4,5}:{(33,1),(37,1),(73,1),(74,1),(102,1)}
        52:{2,3,5,6}:{(33,1),(34,1),(38,1),(63,1),(71,1),(74,1),(75,1),(103,1),(107,1),(116,1)}
        53:{2,3,6,7}:{(34,1),(39,1),(64,1),(72,1),(75,1),(104,1),(137,1),(142,1)}
        54:{1,4,5}:{(35,1),(37,1),(76,1),(77,1),(102,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(38,1),(65,1),(71,1),(77,1),(78,1),(103,1),(110,1),(116,1)}
        56:{1,3,6,7}:{(36,1),(39,1),(66,1),(72,1),(78,1),(104,1),(139,1),(143,1)}
        57:{4,6}:{(37,1),(38,1),(79,1)}
        58:{3,5,7}:{(38,1),(39,1),(40,1),(79,1)}
        59:{3,4,6}:{(41,1),(42,1),(80,1),(81,1),(122,1)}
        60:{3,5,7}:{(41,1),(43,1),(80,1),(81,1),(93,1),(133,1)}
        61:{1,2,5}:{(42,1),(80,1)}
        62:{1,2,4,6}:{(43,1),(44,1),(45,1),(50,1),(81,1),(82,1),(122,1)}
        63:{2,5,6}:{(44,1),(46,1),(85,1)}
        64:{2,4,6,7}:{(44,1),(47,1),(53,1),(85,1),(98,1),(135,1),(145,1)}
        65:{1,5,6}:{(45,1),(46,1),(87,1)}
        66:{1,4,6,7}:{(45,1),(47,1),(56,1),(87,1),(101,1),(134,1),(144,1)}
        67:{4,5,6}:{(46,1),(57,1),(89,1),(122,1)}
        68:{3,5,7}:{(46,1),(47,1),(85,1),(87,1),(89,1)}
        69:{3,4}:{(48,1),(93,1)}
        70:{1,2,4,5}:{(48,1),(49,1),(51,1),(54,1),(93,1),(94,1),(96,1),(99,1),(130,1)}
        71:{1,2,5,6}:{(49,1),(50,1),(52,1),(55,1),(94,1),(95,1),(125,1),(128,1)}
        72:{1,2,6,7}:{(50,1),(53,1),(56,1),(95,1),(144,1),(145,1),(146,1)}
        73:{3,4,5}:{(51,1),(93,1),(96,1),(97,1)}
        74:{2,4,6}:{(51,1),(52,1),(57,1),(97,1),(98,1),(122,1)}
        75:{2,3,5,7}:{(52,1),(53,1),(58,1),(85,1),(95,1),(98,1),(123,1),(126,1),(133,1)}
        76:{3,4,5}:{(54,1),(93,1),(99,1),(100,1)}
        77:{1,4,6}:{(54,1),(55,1),(57,1),(100,1),(101,1),(122,1)}
        78:{1,3,5,7}:{(55,1),(56,1),(58,1),(87,1),(95,1),(101,1),(123,1),(129,1),(133,1)}
        79:{4,7}:{(57,1),(58,1)}
        80:{3,5}:{(59,1),(61,1),(102,1)}
        81:{3,6}:{(60,1),(62,1)}
        82:{1,2,5,6}:{(61,1),(62,1),(63,1),(65,1),(103,1),(105,1)}
        83:{1,2,4,6,7}:{(62,1),(64,1),(66,1),(72,1),(104,1),(105,1),(117,1),(136,1)}
        84:{2,4,5,6}:{(63,1),(67,1),(74,1),(107,1),(108,1)}
        85:{2,5,7}:{(63,1),(64,1),(68,1)}
        86:{1,4,5,6}:{(65,1),(67,1),(77,1),(110,1),(111,1)}
        87:{1,5,7}:{(65,1),(66,1),(68,1)}
        88:{3,5,6,7}:{(68,1),(106,1),(109,1),(112,1),(137,1),(139,1)}
        89:{4,5,7}:{(67,1),(68,1),(79,1),(112,1),(136,1)}
        90:{1,2,3}:{(113,1)}
        91:{2,3,4}:{(69,1),(113,1),(114,1)}
        92:{1,3,4}:{(69,1),(113,1),(115,1)}
        93:{3,5}:{(69,1),(70,1),(116,1)}
        94:{1,2,4,6}:{(70,1),(71,1),(74,1),(77,1),(116,1),(117,1),(118,1),(120,1),(141,1)}
        95:{1,2,5,7}:{(71,1),(72,1),(75,1),(78,1),(117,1),(138,1),(140,1)}
        96:{1,4,5}:{(73,1),(115,1),(118,1)}
        97:{3,4,6}:{(73,1),(74,1),(107,1),(116,1),(118,1),(119,1)}
        98:{2,4,7}:{(74,1),(75,1),(79,1),(119,1),(136,1)}
        99:{2,4,5}:{(76,1),(114,1),(120,1)}
       100:{3,4,6}:{(76,1),(77,1),(110,1),(116,1),(120,1),(121,1)}
       101:{1,4,7}:{(77,1),(78,1),(79,1),(121,1),(136,1)}
       102:{4,5}:{(80,1),(122,1)}
       103:{3,5,6}:{(80,1),(81,1),(82,1),(122,1),(123,1)}
       104:{3,6,7}:{(81,1),(83,1),(123,1),(133,1)}
       105:{1,2,5,7}:{(82,1),(83,1),(85,1),(87,1),(123,1)}
       106:{2,5,6,7}:{(85,1),(88,1),(124,1),(145,1)}
       107:{3,5,6}:{(84,1),(97,1),(125,1),(126,1)}
       108:{2,4,5,7}:{(84,1),(85,1),(89,1),(98,1),(124,1),(126,1)}
       109:{1,5,6,7}:{(87,1),(88,1),(127,1),(144,1)}
       110:{3,5,6}:{(86,1),(100,1),(128,1),(129,1)}
       111:{1,4,5,7}:{(86,1),(87,1),(89,1),(101,1),(127,1),(129,1)}
       112:{4,6,7}:{(88,1),(89,1)}
       113:{1,2,4}:{(90,1),(91,1),(92,1),(130,1)}
       114:{2,3,5}:{(91,1),(93,1),(99,1),(130,1),(131,1)}
       115:{1,3,5}:{(92,1),(93,1),(96,1),(130,1),(132,1)}
       116:{3,6}:{(93,1),(94,1),(133,1)}
       117:{1,2,4,7}:{(94,1),(95,1),(98,1),(101,1),(133,1),(134,1),(135,1),(146,1)}
       118:{1,4,6}:{(96,1),(97,1),(125,1),(132,1),(134,1)}
       119:{3,4,7}:{(97,1),(98,1),(126,1),(133,1),(134,1)}
       120:{2,4,6}:{(99,1),(100,1),(128,1),(131,1),(135,1)}
       121:{3,4,7}:{(100,1),(101,1),(129,1),(133,1),(135,1)}
       122:{4,6}:{(102,1),(103,1),(136,1)}
       123:{3,5,7}:{(103,1),(104,1),(105,1),(136,1)}
       124:{2,4,6,7}:{(106,1),(108,1),(112,1),(137,1)}
       125:{1,5,6}:{(107,1),(118,1),(138,1)}
       126:{3,5,7}:{(107,1),(108,1),(119,1),(137,1),(138,1)}
       127:{1,4,6,7}:{(109,1),(111,1),(112,1),(139,1)}
       128:{2,5,6}:{(110,1),(120,1),(140,1)}
       129:{3,5,7}:{(110,1),(111,1),(121,1),(139,1),(140,1)}
       130:{1,2,5}:{(113,1),(114,1),(115,1),(141,1)}
       131:{2,3,6}:{(114,1),(116,1),(120,1),(141,1),(142,1)}
       132:{1,3,6}:{(115,1),(116,1),(118,1),(141,1),(143,1)}
       133:{3,7}:{(116,1),(117,1)}
       134:{1,4,7}:{(118,1),(119,1),(138,1),(143,1)}
       135:{2,4,7}:{(120,1),(121,1),(140,1),(142,1)}
       136:{4,7}:{(122,1),(123,1)}
       137:{3,6,7}:{(124,1),(126,1),(144,1)}
       138:{1,5,7}:{(125,1),(126,1),(134,1),(144,1)}
       139:{3,6,7}:{(127,1),(129,1),(145,1)}
       140:{2,5,7}:{(128,1),(129,1),(135,1),(145,1)}
       141:{1,2,6}:{(130,1),(131,1),(132,1),(146,1)}
       142:{2,3,7}:{(131,1),(133,1),(135,1),(146,1)}
       143:{1,3,7}:{(132,1),(133,1),(134,1),(146,1)}
       144:{1,6,7}:{(137,1),(138,1)}
       145:{2,6,7}:{(139,1),(140,1)}
       146:{1,2,7}:{(141,1),(142,1),(143,1)}

1026 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(9,1),(12,1),(30,1),(32,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(50,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(21,1),(48,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(72,1),(79,1)}
         4:{1,2,4,5,7}:{(1,1),(9,1),(11,1),(12,1),(27,1),(28,1),(30,1),(39,1),(40,1),(71,1),(79,1),(112,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1)}
         6:{1,2,3,7}:{(15,1),(16,1),(129,1),(133,1),(146,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(17,1),(18,1),(41,1),(94,1),(95,1),(129,1)}
         8:{1,3,4,7}:{(3,1),(15,1),(19,1),(20,1),(41,1),(93,1),(98,1),(129,1)}
         9:{3,5,7}:{(3,1),(4,1),(21,1),(22,1),(92,1),(129,1)}
        10:{3,4,6}:{(3,1),(5,1),(21,1),(22,1),(58,1)}
        11:{1,2,4,6}:{(4,1),(21,1),(24,1),(44,1),(45,1),(48,1),(58,1)}
        12:{1,2,5}:{(5,1),(22,1)}
        13:{1,2,3,5,7}:{(6,1),(25,1),(26,1),(30,1),(32,1),(59,1),(62,1)}
        14:{3,4,5,7}:{(9,1),(27,1),(28,1),(29,1),(39,1),(59,1),(67,1),(75,1),(78,1),(79,1),(106,1),(117,1),(119,1),(138,1)}
        15:{1,2,4,7}:{(6,1),(7,1),(8,1),(30,1),(31,1),(116,1)}
        16:{1,2,3,6}:{(6,1),(31,1),(32,1),(113,1),(143,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(27,1),(30,1),(33,1),(34,1),(59,1),(115,1),(142,1)}
        18:{2,3,4,6}:{(7,1),(10,1),(31,1),(33,1),(34,1),(60,1),(72,1),(74,1),(113,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(28,1),(30,1),(35,1),(36,1),(59,1),(114,1),(141,1)}
        20:{1,3,4,6}:{(8,1),(10,1),(31,1),(35,1),(36,1),(60,1),(72,1),(77,1),(113,1)}
        21:{3,6}:{(9,1),(11,1)}
        22:{3,5}:{(10,1),(12,1),(39,1)}
        23:{1,2,4,6,7}:{(11,1),(37,1),(40,1),(63,1),(65,1),(69,1),(79,1),(112,1)}
        24:{1,2,5,6}:{(11,1),(12,1),(38,1),(40,1),(64,1),(66,1)}
        25:{1,2,4,7}:{(13,1),(41,1),(43,1),(50,1)}
        26:{1,2,3,6}:{(13,1),(43,1),(48,1),(81,1)}
        27:{2,4,5,7}:{(14,1),(17,1),(44,1),(53,1),(85,1),(95,1),(100,1),(135,1)}
        28:{1,4,5,7}:{(14,1),(19,1),(45,1),(56,1),(87,1),(97,1),(98,1),(134,1)}
        29:{3,4,6}:{(14,1),(21,1),(44,1),(45,1),(47,1),(58,1),(81,1),(124,1)}
        30:{1,2,5,7}:{(15,1),(17,1),(19,1),(48,1),(49,1),(132,1),(146,1)}
        31:{1,2,4,6}:{(15,1),(16,1),(18,1),(20,1),(48,1),(49,1),(50,1)}
        32:{1,2,3,5}:{(16,1),(49,1),(50,1),(92,1),(132,1),(133,1)}
        33:{2,3,6}:{(17,1),(21,1),(44,1),(48,1),(81,1)}
        34:{2,3,5}:{(18,1),(22,1),(49,1),(53,1),(82,1),(92,1)}
        35:{1,3,6}:{(19,1),(21,1),(45,1),(48,1),(81,1)}
        36:{1,3,5}:{(20,1),(22,1),(49,1),(56,1),(82,1),(92,1)}
        37:{3,6,7}:{(21,1),(23,1),(57,1),(129,1)}
        38:{3,5,6}:{(21,1),(22,1),(24,1),(57,1),(58,1)}
        39:{4,5}:{(22,1),(58,1)}
        40:{1,2,5,7}:{(23,1),(24,1),(57,1),(85,1),(87,1)}
        41:{3,4,7}:{(25,1),(59,1),(60,1),(72,1),(138,1)}
        42:{1,2,4,5,7}:{(25,1),(27,1),(28,1),(30,1),(59,1),(61,1),(62,1),(71,1),(106,1),(107,1),(112,1),(138,1)}
        43:{1,2,4,6}:{(25,1),(26,1),(60,1),(62,1)}
        44:{2,4,6}:{(27,1),(29,1),(33,1),(64,1)}
        45:{1,4,6}:{(28,1),(29,1),(35,1),(66,1)}
        46:{3,4,6,7}:{(29,1),(37,1),(63,1),(65,1),(67,1),(79,1),(103,1),(104,1),(117,1),(119,1),(136,1),(137,1),(138,1)}
        47:{3,5,6}:{(29,1),(64,1),(66,1),(67,1),(68,1)}
        48:{1,2,6}:{(30,1),(33,1),(35,1)}
        49:{1,2,5}:{(31,1),(34,1),(36,1)}
        50:{1,2,4}:{(32,1),(72,1)}
        51:{2,3,6,7}:{(33,1),(37,1),(63,1),(69,1),(73,1),(104,1),(136,1),(142,1)}
        52:{2,3,5,6}:{(33,1),(34,1),(38,1),(64,1),(70,1),(73,1),(74,1),(105,1),(109,1),(113,1)}
        53:{2,4,5}:{(34,1),(39,1),(74,1),(75,1),(106,1)}
        54:{1,3,6,7}:{(35,1),(37,1),(65,1),(69,1),(76,1),(104,1),(137,1),(141,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(38,1),(66,1),(70,1),(76,1),(77,1),(105,1),(111,1),(113,1)}
        56:{1,4,5}:{(36,1),(39,1),(77,1),(78,1),(106,1)}
        57:{3,5,7}:{(37,1),(38,1),(40,1),(79,1)}
        58:{4,6}:{(38,1),(39,1),(79,1)}
        59:{3,5,7}:{(41,1),(42,1),(81,1),(82,1),(92,1),(129,1)}
        60:{3,4,6}:{(41,1),(43,1),(81,1),(82,1),(124,1)}
        61:{1,2,4,6}:{(42,1),(44,1),(45,1),(48,1),(81,1),(84,1),(124,1)}
        62:{1,2,5}:{(43,1),(82,1)}
        63:{2,4,6,7}:{(44,1),(46,1),(51,1),(85,1),(95,1),(135,1),(145,1)}
        64:{2,5,6}:{(44,1),(47,1),(85,1)}
        65:{1,4,6,7}:{(45,1),(46,1),(54,1),(87,1),(98,1),(134,1),(144,1)}
        66:{1,5,6}:{(45,1),(47,1),(87,1)}
        67:{3,5,7}:{(46,1),(47,1),(85,1),(87,1),(89,1)}
        68:{4,5,6}:{(47,1),(58,1),(89,1),(124,1)}
        69:{1,2,6,7}:{(48,1),(51,1),(54,1),(90,1),(144,1),(145,1),(146,1)}
        70:{1,2,5,6}:{(48,1),(49,1),(52,1),(55,1),(90,1),(91,1),(126,1),(128,1)}
        71:{1,2,4,5}:{(49,1),(50,1),(53,1),(56,1),(91,1),(92,1),(97,1),(100,1),(132,1)}
        72:{3,4}:{(50,1),(92,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(57,1),(85,1),(90,1),(95,1),(123,1),(125,1),(129,1)}
        74:{2,4,6}:{(52,1),(53,1),(58,1),(95,1),(96,1),(124,1)}
        75:{3,4,5}:{(53,1),(92,1),(96,1),(97,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(57,1),(87,1),(90,1),(98,1),(123,1),(127,1),(129,1)}
        77:{1,4,6}:{(55,1),(56,1),(58,1),(98,1),(99,1),(124,1)}
        78:{3,4,5}:{(56,1),(92,1),(99,1),(100,1)}
        79:{4,7}:{(57,1),(58,1)}
        80:{3,5,6,7}:{(67,1),(101,1),(102,1),(103,1),(136,1),(137,1)}
        81:{3,6}:{(59,1),(61,1)}
        82:{3,5}:{(60,1),(62,1),(106,1)}
        83:{1,2,4,6,7}:{(61,1),(63,1),(65,1),(69,1),(104,1),(107,1),(112,1),(138,1)}
        84:{1,2,5,6}:{(61,1),(62,1),(64,1),(66,1),(105,1),(107,1)}
        85:{2,5,7}:{(63,1),(64,1),(67,1)}
        86:{2,4,5,6}:{(64,1),(68,1),(74,1),(108,1),(109,1)}
        87:{1,5,7}:{(65,1),(66,1),(67,1)}
        88:{1,4,5,6}:{(66,1),(68,1),(77,1),(110,1),(111,1)}
        89:{4,5,7}:{(67,1),(68,1),(79,1),(103,1),(138,1)}
        90:{1,2,5,7}:{(69,1),(70,1),(73,1),(76,1),(112,1),(139,1),(140,1)}
        91:{1,2,4,6}:{(70,1),(71,1),(74,1),(77,1),(112,1),(113,1),(118,1),(120,1),(143,1)}
        92:{3,5}:{(71,1),(72,1),(113,1)}
        93:{1,3,4}:{(72,1),(114,1),(116,1)}
        94:{2,3,4}:{(72,1),(115,1),(116,1)}
        95:{2,4,7}:{(73,1),(74,1),(79,1),(117,1),(138,1)}
        96:{3,4,6}:{(74,1),(75,1),(109,1),(113,1),(117,1),(118,1)}
        97:{1,4,5}:{(75,1),(114,1),(118,1)}
        98:{1,4,7}:{(76,1),(77,1),(79,1),(119,1),(138,1)}
        99:{3,4,6}:{(77,1),(78,1),(111,1),(113,1),(119,1),(120,1)}
       100:{2,4,5}:{(78,1),(115,1),(120,1)}
       101:{2,5,6,7}:{(80,1),(85,1),(121,1),(145,1)}
       102:{1,5,6,7}:{(80,1),(87,1),(122,1),(144,1)}
       103:{4,6,7}:{(80,1),(89,1)}
       104:{3,6,7}:{(81,1),(83,1),(123,1),(129,1)}
       105:{3,5,6}:{(81,1),(82,1),(84,1),(123,1),(124,1)}
       106:{4,5}:{(82,1),(124,1)}
       107:{1,2,5,7}:{(83,1),(84,1),(85,1),(87,1),(123,1)}
       108:{2,4,5,7}:{(85,1),(86,1),(89,1),(95,1),(121,1),(125,1)}
       109:{3,5,6}:{(86,1),(96,1),(125,1),(126,1)}
       110:{1,4,5,7}:{(87,1),(88,1),(89,1),(98,1),(122,1),(127,1)}
       111:{3,5,6}:{(88,1),(99,1),(127,1),(128,1)}
       112:{1,2,4,7}:{(90,1),(91,1),(95,1),(98,1),(129,1),(134,1),(135,1),(146,1)}
       113:{3,6}:{(91,1),(92,1),(129,1)}
       114:{1,3,5}:{(92,1),(93,1),(97,1),(130,1),(132,1)}
       115:{2,3,5}:{(92,1),(94,1),(100,1),(131,1),(132,1)}
       116:{1,2,4}:{(93,1),(94,1),(132,1),(133,1)}
       117:{3,4,7}:{(95,1),(96,1),(125,1),(129,1),(134,1)}
       118:{1,4,6}:{(96,1),(97,1),(126,1),(130,1),(134,1)}
       119:{3,4,7}:{(98,1),(99,1),(127,1),(129,1),(135,1)}
       120:{2,4,6}:{(99,1),(100,1),(128,1),(131,1),(135,1)}
       121:{2,4,6,7}:{(101,1),(103,1),(108,1),(136,1)}
       122:{1,4,6,7}:{(102,1),(103,1),(110,1),(137,1)}
       123:{3,5,7}:{(104,1),(105,1),(107,1),(138,1)}
       124:{4,6}:{(105,1),(106,1),(138,1)}
       125:{3,5,7}:{(108,1),(109,1),(117,1),(136,1),(139,1)}
       126:{1,5,6}:{(109,1),(118,1),(139,1)}
       127:{3,5,7}:{(110,1),(111,1),(119,1),(137,1),(140,1)}
       128:{2,5,6}:{(111,1),(120,1),(140,1)}
       129:{3,7}:{(112,1),(113,1)}
       130:{1,3,6}:{(113,1),(114,1),(118,1),(141,1),(143,1)}
       131:{2,3,6}:{(113,1),(115,1),(120,1),(142,1),(143,1)}
       132:{1,2,5}:{(114,1),(115,1),(116,1),(143,1)}
       133:{1,2,3}:{(116,1)}
       134:{1,4,7}:{(117,1),(118,1),(139,1),(141,1)}
       135:{2,4,7}:{(119,1),(120,1),(140,1),(142,1)}
       136:{3,6,7}:{(121,1),(125,1),(144,1)}
       137:{3,6,7}:{(122,1),(127,1),(145,1)}
       138:{4,7}:{(123,1),(124,1)}
       139:{1,5,7}:{(125,1),(126,1),(134,1),(144,1)}
       140:{2,5,7}:{(127,1),(128,1),(135,1),(145,1)}
       141:{1,3,7}:{(129,1),(130,1),(134,1),(146,1)}
       142:{2,3,7}:{(129,1),(131,1),(135,1),(146,1)}
       143:{1,2,6}:{(130,1),(131,1),(132,1),(146,1)}
       144:{1,6,7}:{(136,1),(139,1)}
       145:{2,6,7}:{(137,1),(140,1)}
       146:{1,2,7}:{(141,1),(142,1),(143,1)}

1027 :   0:{1,2,3,6,7}:{(1,1),(2,1),(29,1),(63,1),(64,1),(65,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(17,1),(70,1),(71,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(47,1),(48,1),(78,1),(79,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(11,1),(22,1),(29,1)}
         4:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(25,1),(29,1),(59,1),(60,1),(61,1),(62,1),(65,1)}
         5:{1,2,5,7}:{(1,1),(7,1),(9,1),(85,1),(86,1)}
         6:{1,2,4,7}:{(2,1),(8,1),(11,1),(91,1),(92,1)}
         7:{3,5,7}:{(3,1),(5,1),(12,1),(13,1)}
         8:{1,2,4,6}:{(4,1),(6,1),(14,1),(15,1),(75,1),(76,1)}
         9:{1,2,5,6}:{(5,1),(12,1),(17,1),(68,1),(69,1)}
        10:{1,2,4,5,7}:{(5,1),(6,1),(13,1),(14,1),(17,1),(18,1),(36,1),(37,1),(47,1)}
        11:{3,4,7}:{(6,1),(15,1),(18,1)}
        12:{3,5,6}:{(7,1),(9,1),(22,1),(29,1)}
        13:{4,5,7}:{(7,1),(22,1)}
        14:{1,2,4,5}:{(8,1),(25,1),(56,1),(57,1),(61,1)}
        15:{3,4,6}:{(8,1),(11,1),(25,1),(29,1)}
        16:{1,2,5,6,7}:{(9,1),(21,1),(28,1),(85,1),(86,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(22,1),(29,1),(52,1),(53,1),(65,1)}
        18:{3,5,7}:{(10,1),(11,1),(25,1),(29,1)}
        19:{1,3,4,7}:{(11,1),(26,1),(30,1),(32,1),(90,1),(91,1),(109,1)}
        20:{2,3,4,7}:{(11,1),(27,1),(31,1),(32,1),(90,1),(92,1),(109,1)}
        21:{3,5,6,7}:{(12,1),(16,1),(34,1),(44,1),(67,1)}
        22:{4,6}:{(12,1),(13,1)}
        23:{3,4,5,7}:{(13,1),(18,1),(35,1),(36,1),(37,1),(38,1),(67,1),(73,1),(74,1),(110,1),(111,1)}
        24:{1,2,4,5,6}:{(14,1),(17,1),(33,1),(39,1),(40,1),(68,1),(69,1),(75,1),(76,1),(80,1)}
        25:{3,5}:{(14,1),(15,1)}
        26:{1,3,4,6}:{(15,1),(19,1),(41,1),(43,1),(45,1),(75,1),(101,1),(103,1),(104,1)}
        27:{2,3,4,6}:{(15,1),(20,1),(42,1),(43,1),(46,1),(76,1),(101,1),(103,1),(104,1)}
        28:{1,2,4,6,7}:{(16,1),(17,1),(34,1),(39,1),(44,1),(70,1),(71,1),(82,1)}
        29:{3,6}:{(17,1),(18,1)}
        30:{1,3,5,7}:{(18,1),(19,1),(36,1),(41,1),(45,1),(47,1),(73,1)}
        31:{2,3,5,7}:{(18,1),(20,1),(37,1),(42,1),(46,1),(47,1),(73,1)}
        32:{1,2,4,7}:{(19,1),(20,1),(43,1),(47,1),(48,1)}
        33:{4,5,6}:{(22,1),(49,1),(50,1),(107,1)}
        34:{4,6,7}:{(21,1),(22,1),(49,1)}
        35:{3,4,6}:{(22,1),(23,1),(29,1),(50,1),(52,1),(53,1),(89,1),(107,1)}
        36:{1,4,5,7}:{(23,1),(30,1),(52,1),(56,1),(85,1),(91,1)}
        37:{2,4,5,7}:{(23,1),(31,1),(53,1),(57,1),(86,1),(92,1)}
        38:{3,4,5}:{(25,1),(55,1),(56,1),(57,1),(94,1)}
        39:{1,2,4,5,7}:{(24,1),(28,1),(49,1),(58,1),(85,1),(86,1),(91,1),(92,1),(95,1)}
        40:{3,5,6}:{(24,1),(25,1),(29,1),(55,1),(58,1)}
        41:{1,3,5}:{(25,1),(26,1),(56,1),(61,1),(94,1),(108,1)}
        42:{2,3,5}:{(25,1),(27,1),(57,1),(61,1),(94,1),(108,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(32,1),(61,1),(62,1),(65,1),(96,1)}
        44:{3,6,7}:{(28,1),(29,1),(58,1)}
        45:{1,3,6}:{(29,1),(30,1),(52,1),(65,1),(89,1)}
        46:{2,3,6}:{(29,1),(31,1),(53,1),(65,1),(89,1)}
        47:{1,2,5,7}:{(30,1),(31,1),(32,1),(61,1),(65,1)}
        48:{1,2,3,7}:{(32,1),(62,1),(109,1)}
        49:{4,5,7}:{(33,1),(34,1),(67,1),(110,1)}
        50:{3,5,6}:{(33,1),(35,1),(67,1),(68,1),(69,1)}
        51:{3,4,6,7}:{(34,1),(35,1),(44,1),(67,1),(70,1),(71,1),(74,1),(100,1),(110,1)}
        52:{1,4,6}:{(35,1),(36,1),(45,1),(68,1)}
        53:{2,4,6}:{(35,1),(37,1),(46,1),(69,1)}
        54:{1,2,4,5,7}:{(36,1),(37,1),(47,1),(72,1),(73,1),(77,1),(84,1),(98,1),(102,1),(105,1),(110,1),(111,1)}
        55:{3,4,6}:{(38,1),(40,1),(74,1),(75,1),(76,1),(103,1)}
        56:{1,4,5}:{(38,1),(41,1),(75,1),(111,1)}
        57:{2,4,5}:{(38,1),(42,1),(76,1),(111,1)}
        58:{3,5,7}:{(39,1),(40,1),(44,1),(74,1)}
        59:{1,3,5,6}:{(40,1),(41,1),(45,1),(68,1),(75,1),(78,1),(80,1),(99,1),(103,1)}
        60:{2,3,5,6}:{(40,1),(42,1),(46,1),(69,1),(76,1),(79,1),(80,1),(99,1),(103,1)}
        61:{1,2,5}:{(41,1),(42,1),(43,1)}
        62:{1,2,3,6}:{(43,1),(48,1),(81,1),(103,1)}
        63:{1,3,6,7}:{(44,1),(45,1),(70,1),(78,1),(82,1),(100,1)}
        64:{2,3,6,7}:{(44,1),(46,1),(71,1),(79,1),(82,1),(100,1)}
        65:{1,2,6}:{(45,1),(46,1),(47,1)}
        66:{1,2,3,5,7}:{(47,1),(48,1),(73,1),(81,1),(83,1),(84,1),(105,1)}
        67:{3,5,7}:{(49,1),(50,1),(51,1),(85,1),(86,1)}
        68:{1,5,6}:{(50,1),(52,1),(85,1)}
        69:{2,5,6}:{(50,1),(53,1),(86,1)}
        70:{1,4,6,7}:{(51,1),(52,1),(63,1),(85,1),(91,1)}
        71:{2,4,6,7}:{(51,1),(53,1),(64,1),(86,1),(92,1)}
        72:{1,2,4,6}:{(52,1),(53,1),(54,1),(65,1),(87,1),(89,1),(107,1)}
        73:{3,5,7}:{(54,1),(89,1),(90,1),(94,1),(108,1),(109,1)}
        74:{3,4,7}:{(55,1),(58,1),(91,1),(92,1),(109,1)}
        75:{1,4,6}:{(55,1),(56,1),(59,1),(91,1),(107,1)}
        76:{2,4,6}:{(55,1),(57,1),(60,1),(92,1),(107,1)}
        77:{1,2,4,5}:{(56,1),(57,1),(61,1),(93,1),(94,1),(96,1)}
        78:{1,3,5,7}:{(58,1),(59,1),(63,1),(85,1),(91,1),(95,1),(106,1),(109,1)}
        79:{2,3,5,7}:{(58,1),(60,1),(64,1),(86,1),(92,1),(95,1),(106,1),(109,1)}
        80:{1,2,5,6}:{(59,1),(60,1),(61,1),(65,1),(93,1),(95,1)}
        81:{1,2,3,5}:{(61,1),(62,1),(94,1),(96,1)}
        82:{1,2,6,7}:{(63,1),(64,1),(65,1),(95,1)}
        83:{1,2,3,6}:{(65,1),(66,1),(89,1),(97,1)}
        84:{1,2,4,7}:{(66,1),(90,1),(96,1),(97,1)}
        85:{1,5,7}:{(67,1),(68,1),(70,1)}
        86:{2,5,7}:{(67,1),(69,1),(71,1)}
        87:{1,2,5,6}:{(68,1),(69,1),(72,1),(98,1),(99,1),(105,1)}
        88:{1,2,4,6,7}:{(70,1),(71,1),(72,1),(82,1),(98,1),(100,1),(102,1),(110,1)}
        89:{3,6}:{(72,1),(73,1)}
        90:{3,4,7}:{(73,1),(84,1),(101,1),(104,1),(110,1)}
        91:{1,4,7}:{(74,1),(75,1),(78,1),(110,1)}
        92:{2,4,7}:{(74,1),(76,1),(79,1),(110,1)}
        93:{1,2,4,6}:{(75,1),(76,1),(77,1),(80,1),(102,1),(103,1)}
        94:{3,5}:{(77,1),(103,1),(104,1)}
        95:{1,2,5,7}:{(78,1),(79,1),(80,1),(82,1),(102,1)}
        96:{1,2,4}:{(81,1),(104,1)}
        97:{1,2,4,6}:{(83,1),(84,1),(101,1),(105,1)}
        98:{1,2,5,7}:{(85,1),(86,1),(87,1),(88,1),(106,1)}
        99:{3,5,6}:{(87,1),(89,1),(106,1),(107,1),(108,1)}
       100:{3,6,7}:{(88,1),(89,1),(106,1),(109,1)}
       101:{3,4,6}:{(89,1),(90,1),(97,1),(107,1),(108,1)}
       102:{1,2,4,7}:{(91,1),(92,1),(93,1),(95,1),(109,1)}
       103:{3,6}:{(93,1),(94,1),(109,1)}
       104:{3,4}:{(94,1),(96,1)}
       105:{1,2,5}:{(97,1),(108,1)}
       106:{3,5,7}:{(98,1),(99,1),(100,1),(110,1)}
       107:{4,6}:{(99,1),(110,1),(111,1)}
       108:{3,5}:{(101,1),(105,1),(111,1)}
       109:{3,7}:{(102,1),(103,1)}
       110:{4,7}:{(106,1),(107,1)}
       111:{4,5}:{(107,1),(108,1)}

1028 :   0:{2,4,5,6}:{(2,1),(3,1),(22,1),(82,1),(83,1)}
         1:{2,3,4,6}:{(5,1),(6,1),(7,1),(22,1),(36,1),(65,1),(78,1),(114,1),(130,1)}
         2:{3,5,6}:{(0,1),(8,1),(9,1),(11,1)}
         3:{2,4,5,7}:{(0,1),(11,1),(12,1),(43,1),(96,1),(97,1)}
         4:{3,4,5}:{(8,1),(13,1),(14,1),(52,1)}
         5:{2,3,5}:{(1,1),(14,1),(16,1),(52,1),(137,1),(153,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(19,1),(57,1),(59,1),(110,1)}
         7:{2,3,4,7}:{(1,1),(17,1),(19,1),(43,1),(93,1),(106,1),(138,1),(189,1)}
         8:{3,4,6}:{(2,1),(4,1),(21,1),(22,1),(23,1),(65,1)}
         9:{1,5,6}:{(2,1),(21,1),(25,1)}
        10:{2,3,5,6}:{(2,1),(5,1),(22,1),(24,1),(26,1),(36,1),(65,1),(82,1),(131,1)}
        11:{3,5,7}:{(2,1),(3,1),(23,1),(25,1),(27,1)}
        12:{2,4,6,7}:{(3,1),(27,1),(28,1),(74,1)}
        13:{1,4,5}:{(4,1),(21,1),(29,1)}
        14:{2,4,5}:{(4,1),(5,1),(22,1),(173,1)}
        15:{3,4,5,7}:{(4,1),(23,1),(31,1),(32,1),(33,1),(69,1),(79,1),(136,1),(163,1),(166,1),(173,1)}
        16:{1,2,5}:{(5,1),(6,1),(34,1),(133,1)}
        17:{2,3,5,7}:{(5,1),(7,1),(32,1),(35,1),(36,1),(79,1),(159,1),(176,1),(195,1)}
        18:{1,3,6}:{(6,1),(34,1),(37,1),(65,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(35,1),(37,1),(84,1),(200,1)}
        20:{1,3,4}:{(29,1),(38,1),(78,1)}
        21:{1,4,6}:{(8,1),(9,1),(13,1),(40,1),(42,1)}
        22:{2,4,6}:{(8,1),(10,1),(14,1),(43,1),(154,1)}
        23:{3,4,7}:{(8,1),(11,1),(42,1),(43,1),(93,1)}
        24:{1,2,5,6}:{(9,1),(10,1),(16,1),(41,1),(45,1),(46,1),(59,1),(137,1),(177,1)}
        25:{1,5,7}:{(9,1),(11,1),(42,1),(47,1)}
        26:{2,3,5,7}:{(10,1),(11,1),(43,1),(46,1),(48,1),(93,1),(96,1),(144,1)}
        27:{3,6,7}:{(11,1),(12,1),(47,1)}
        28:{2,5,6,7}:{(12,1),(49,1),(96,1),(148,1)}
        29:{1,3,5}:{(13,1),(20,1),(40,1),(50,1),(52,1)}
        30:{1,2,4,5}:{(13,1),(14,1),(16,1),(41,1),(50,1),(52,1),(57,1),(98,1),(102,1),(137,1)}
        31:{1,4,5,7}:{(13,1),(15,1),(42,1),(51,1),(54,1),(95,1),(113,1),(141,1)}
        32:{2,4,5,7}:{(14,1),(15,1),(17,1),(43,1),(55,1),(96,1),(158,1),(181,1)}
        33:{3,4,6}:{(15,1),(54,1),(55,1),(56,1),(107,1),(154,1)}
        34:{1,3,5}:{(16,1),(18,1),(52,1),(57,1)}
        35:{1,2,5,7}:{(16,1),(17,1),(19,1),(58,1),(59,1),(190,1),(204,1)}
        36:{2,3,6}:{(17,1),(55,1),(59,1),(107,1),(177,1)}
        37:{1,3,7}:{(18,1),(19,1),(93,1),(206,1)}
        38:{1,2,4}:{(20,1),(50,1),(60,1),(102,1)}
        39:{1,3,4,7}:{(20,1),(51,1),(61,1),(62,1),(106,1),(141,1),(180,1),(203,1)}
        40:{1,3,6}:{(21,1),(29,1),(63,1),(64,1),(65,1)}
        41:{1,2,4,6}:{(21,1),(22,1),(24,1),(30,1),(63,1),(65,1),(66,1),(70,1),(114,1)}
        42:{1,4,7}:{(21,1),(23,1),(25,1),(64,1)}
        43:{2,4,7}:{(22,1),(23,1),(26,1),(166,1)}
        44:{3,4,6,7}:{(23,1),(27,1),(33,1),(67,1),(68,1),(69,1),(74,1),(120,1),(125,1),(163,1),(166,1)}
        45:{1,3,5,6}:{(24,1),(34,1),(65,1),(70,1),(71,1),(85,1),(118,1),(131,1),(133,1),(164,1),(168,1)}
        46:{1,2,5,7}:{(24,1),(25,1),(26,1),(66,1),(71,1),(72,1),(159,1)}
        47:{1,6,7}:{(25,1),(27,1)}
        48:{2,3,6,7}:{(26,1),(27,1),(36,1),(68,1),(72,1),(120,1),(195,1)}
        49:{3,5,6,7}:{(27,1),(28,1),(69,1),(73,1),(74,1),(125,1)}
        50:{1,2,5}:{(29,1),(38,1),(63,1),(75,1)}
        51:{1,3,5,7}:{(29,1),(31,1),(39,1),(64,1),(76,1),(77,1),(79,1),(88,1),(208,1)}
        52:{3,5}:{(30,1),(65,1),(78,1)}
        53:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(66,1),(76,1),(79,1),(80,1),(84,1),(121,1),(123,1),(126,1),(133,1),(135,1),(159,1),(162,1),(166,1),(169,1),(173,1),(192,1),(208,1)}
        54:{1,4,6}:{(31,1),(33,1),(77,1),(81,1)}
        55:{2,4,6}:{(32,1),(33,1),(36,1),(82,1)}
        56:{3,5,6}:{(33,1),(69,1),(81,1),(82,1),(83,1)}
        57:{1,4}:{(34,1),(78,1)}
        58:{1,3,5,7}:{(34,1),(35,1),(37,1),(79,1),(84,1),(85,1),(133,1),(175,1),(194,1),(208,1)}
        59:{1,2,6}:{(35,1),(36,1),(85,1)}
        60:{2,3}:{(38,1)}
        61:{1,2,4,7}:{(38,1),(39,1),(76,1),(86,1),(87,1),(126,1)}
        62:{1,3,4,6}:{(39,1),(77,1),(87,1),(88,1),(129,1),(130,1),(171,1),(174,1),(198,1)}
        63:{1,2,6}:{(40,1),(50,1),(89,1),(90,1)}
        64:{1,3,7}:{(40,1),(42,1),(90,1),(93,1)}
        65:{3,6}:{(41,1),(52,1),(93,1)}
        66:{1,2,4,7}:{(41,1),(42,1),(43,1),(46,1),(90,1),(93,1),(99,1),(138,1)}
        67:{1,4,6,7}:{(42,1),(44,1),(47,1),(54,1),(91,1),(95,1),(141,1)}
        68:{2,4,6,7}:{(43,1),(44,1),(48,1),(55,1),(96,1),(148,1),(181,1)}
        69:{3,5,7}:{(44,1),(56,1),(95,1),(96,1),(97,1)}
        70:{1,4,6}:{(45,1),(57,1),(92,1),(98,1),(99,1),(154,1)}
        71:{1,3,5,7}:{(45,1),(46,1),(93,1),(99,1),(100,1),(142,1),(144,1),(147,1)}
        72:{1,2,6,7}:{(46,1),(47,1),(48,1),(59,1),(100,1),(177,1),(204,1)}
        73:{1,5,6,7}:{(47,1),(49,1),(95,1),(101,1)}
        74:{4,6,7}:{(49,1),(97,1)}
        75:{2,3,5}:{(50,1),(52,1),(60,1),(89,1),(102,1),(137,1)}
        76:{1,2,5,7}:{(50,1),(51,1),(61,1),(90,1),(103,1),(104,1),(112,1)}
        77:{1,3,6}:{(51,1),(54,1),(104,1),(107,1),(209,1)}
        78:{3,4}:{(52,1),(57,1),(102,1)}
        79:{3,5,7}:{(52,1),(53,1),(93,1),(106,1),(107,1),(153,1),(157,1),(180,1)}
        80:{1,2,4,6}:{(53,1),(54,1),(55,1),(59,1),(104,1),(107,1),(108,1),(110,1),(146,1),(149,1),(154,1),(177,1),(201,1),(209,1)}
        81:{1,5,6}:{(54,1),(56,1),(95,1)}
        82:{2,5,6}:{(55,1),(56,1),(96,1)}
        83:{4,5,6}:{(56,1),(97,1),(154,1)}
        84:{1,4,7}:{(57,1),(58,1),(106,1),(110,1),(188,1)}
        85:{1,3,6}:{(58,1),(59,1),(107,1),(110,1),(209,1)}
        86:{2,3,7}:{(60,1),(61,1),(111,1),(180,1)}
        87:{1,2,4,6}:{(61,1),(62,1),(104,1),(111,1),(112,1),(149,1),(156,1)}
        88:{1,3,5}:{(62,1),(112,1),(113,1),(153,1),(157,1),(205,1)}
        89:{2,3,6}:{(63,1),(65,1),(75,1),(114,1),(115,1)}
        90:{1,2,7}:{(63,1),(64,1),(115,1)}
        91:{1,3,6,7}:{(64,1),(67,1),(77,1),(116,1),(117,1),(120,1),(125,1)}
        92:{3,4,6}:{(65,1),(70,1),(78,1),(114,1),(118,1),(119,1),(164,1)}
        93:{3,7}:{(65,1),(66,1)}
        94:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(72,1),(80,1),(116,1),(120,1),(121,1),(124,1),(160,1),(162,1),(166,1)}
        95:{1,5,7}:{(67,1),(69,1),(81,1)}
        96:{2,5,7}:{(68,1),(69,1),(82,1)}
        97:{4,5,7}:{(69,1),(74,1),(83,1),(166,1)}
        98:{1,4,5}:{(70,1),(118,1),(133,1),(173,1)}
        99:{1,4,7}:{(70,1),(71,1),(119,1),(166,1)}
       100:{1,3,6,7}:{(71,1),(72,1),(85,1),(120,1),(124,1),(164,1),(194,1)}
       101:{1,4,6,7}:{(73,1),(74,1),(122,1),(125,1)}
       102:{2,4}:{(75,1),(78,1)}
       103:{2,3,5,7}:{(75,1),(76,1),(79,1),(86,1),(115,1),(126,1),(127,1),(134,1),(159,1),(169,1)}
       104:{1,2,6}:{(76,1),(77,1),(127,1)}
       105:{1,3,5,6}:{(77,1),(81,1),(88,1),(117,1),(128,1),(129,1),(131,1),(132,1),(171,1)}
       106:{3,4,7}:{(78,1),(79,1),(84,1),(126,1),(130,1),(166,1),(174,1)}
       107:{3,6}:{(79,1),(80,1)}
       108:{1,2,5,6}:{(80,1),(81,1),(82,1),(121,1),(131,1),(133,1),(168,1),(169,1),(191,1)}
       109:{1,4,5,6}:{(81,1),(83,1),(122,1),(129,1),(132,1)}
       110:{1,4,6}:{(84,1),(85,1),(130,1),(133,1)}
       111:{2,3,6}:{(86,1),(87,1),(134,1),(171,1)}
       112:{1,2,5}:{(87,1),(88,1),(134,1),(169,1)}
       113:{1,4,5}:{(88,1),(129,1),(136,1),(173,1)}
       114:{2,4,6}:{(89,1),(92,1),(102,1),(137,1),(138,1),(177,1)}
       115:{2,3,7}:{(89,1),(90,1),(93,1),(138,1)}
       116:{1,2,6,7}:{(90,1),(91,1),(104,1),(139,1),(140,1),(148,1),(209,1)}
       117:{1,3,5,7}:{(91,1),(95,1),(105,1),(140,1),(141,1),(144,1),(145,1),(180,1)}
       118:{3,5}:{(92,1),(98,1),(137,1)}
       119:{3,4,7}:{(92,1),(93,1),(99,1),(138,1),(142,1)}
       120:{3,6,7}:{(93,1),(94,1),(107,1),(144,1),(180,1)}
       121:{1,2,5,7}:{(94,1),(95,1),(96,1),(108,1),(144,1),(147,1),(178,1)}
       122:{1,4,5,7}:{(95,1),(97,1),(101,1),(109,1),(141,1),(145,1)}
       123:{1,4,5,7}:{(98,1),(99,1),(142,1),(146,1),(147,1),(183,1)}
       124:{1,4,6,7}:{(99,1),(100,1),(110,1),(143,1),(146,1),(147,1),(203,1),(209,1)}
       125:{3,6,7}:{(101,1),(145,1),(148,1)}
       126:{2,4,7}:{(102,1),(103,1),(106,1),(149,1),(156,1)}
       127:{2,3,6}:{(103,1),(104,1),(107,1),(149,1),(177,1)}
       128:{1,2,5,6}:{(104,1),(105,1),(112,1),(140,1),(150,1),(151,1),(155,1),(205,1),(209,1)}
       129:{1,4,6}:{(105,1),(113,1),(141,1),(152,1),(154,1)}
       130:{3,4,6}:{(106,1),(107,1),(110,1),(149,1),(153,1),(154,1)}
       131:{3,5,6}:{(107,1),(108,1),(144,1),(153,1),(154,1)}
       132:{3,5,6}:{(109,1),(145,1),(152,1),(155,1)}
       133:{1,5}:{(110,1),(153,1)}
       134:{2,3,5}:{(111,1),(112,1),(156,1),(157,1)}
       135:{1,2,4,5}:{(112,1),(113,1),(151,1),(156,1),(157,1),(158,1),(184,1),(188,1),(190,1),(205,1)}
       136:{3,4,5}:{(113,1),(152,1),(157,1),(158,1)}
       137:{2,5}:{(114,1),(118,1)}
       138:{2,4,7}:{(114,1),(115,1),(119,1),(159,1)}
       139:{2,3,6,7}:{(115,1),(116,1),(120,1),(127,1),(160,1),(161,1),(207,1)}
       140:{1,2,5,7}:{(116,1),(117,1),(128,1),(161,1),(162,1),(167,1),(208,1)}
       141:{1,4,7}:{(117,1),(129,1),(163,1),(166,1)}
       142:{3,5,7}:{(118,1),(119,1),(123,1),(159,1),(164,1)}
       143:{3,4,6,7}:{(119,1),(120,1),(124,1),(130,1),(160,1),(164,1),(165,1),(166,1),(193,1),(196,1),(207,1)}
       144:{3,5,7}:{(120,1),(121,1),(131,1),(166,1)}
       145:{3,5,7}:{(122,1),(125,1),(132,1),(163,1),(167,1)}
       146:{1,4,6}:{(123,1),(164,1),(168,1),(196,1)}
       147:{1,5,7}:{(124,1),(133,1),(165,1),(168,1)}
       148:{2,6,7}:{(125,1),(167,1)}
       149:{2,4,6}:{(126,1),(127,1),(130,1),(169,1)}
       150:{2,3,5,6}:{(127,1),(128,1),(131,1),(134,1),(161,1),(169,1),(170,1),(171,1),(191,1),(197,1),(207,1)}
       151:{1,2,4,6}:{(128,1),(129,1),(135,1),(162,1),(170,1),(171,1),(172,1),(198,1),(199,1)}
       152:{3,4,6}:{(129,1),(132,1),(136,1),(163,1),(171,1),(172,1)}
       153:{3,5}:{(130,1),(133,1),(169,1),(173,1)}
       154:{4,6}:{(131,1),(166,1),(173,1)}
       155:{2,5,6}:{(132,1),(167,1),(172,1)}
       156:{2,4}:{(134,1),(174,1)}
       157:{3,5}:{(135,1),(171,1),(174,1)}
       158:{2,4,5}:{(136,1),(172,1),(176,1)}
       159:{2,5,7}:{(137,1),(138,1),(142,1),(177,1)}
       160:{2,4,6,7}:{(138,1),(139,1),(143,1),(149,1),(177,1),(178,1),(179,1),(201,1)}
       161:{2,3,5,7}:{(139,1),(140,1),(144,1),(150,1),(178,1),(179,1),(180,1),(202,1)}
       162:{1,2,4,7}:{(140,1),(141,1),(151,1),(179,1),(180,1),(181,1),(203,1),(204,1)}
       163:{3,4,7}:{(141,1),(145,1),(152,1),(180,1),(181,1)}
       164:{3,6}:{(142,1),(146,1),(177,1)}
       165:{3,5,7}:{(143,1),(147,1),(153,1),(178,1),(182,1),(183,1)}
       166:{4,7}:{(144,1),(154,1)}
       167:{2,5,7}:{(145,1),(148,1),(155,1),(181,1)}
       168:{1,5,6}:{(146,1),(147,1),(182,1),(209,1)}
       169:{2,5}:{(149,1),(153,1)}
       170:{2,4,6}:{(150,1),(154,1),(156,1),(179,1),(184,1),(185,1)}
       171:{3,6}:{(151,1),(157,1),(180,1)}
       172:{2,4,6}:{(152,1),(155,1),(158,1),(181,1),(187,1)}
       173:{4,5}:{(153,1),(154,1)}
       174:{3,4}:{(156,1),(157,1),(188,1)}
       175:{1,3,5}:{(157,1),(186,1),(188,1),(190,1),(205,1),(206,1)}
       176:{2,3,5}:{(157,1),(158,1),(187,1),(189,1),(190,1)}
       177:{2,6}:{(159,1),(164,1)}
       178:{2,5,7}:{(160,1),(165,1),(169,1),(191,1)}
       179:{2,4,7}:{(161,1),(166,1),(170,1),(193,1)}
       180:{3,7}:{(162,1),(171,1)}
       181:{2,4,7}:{(163,1),(167,1),(172,1),(195,1)}
       182:{3,5,6}:{(164,1),(165,1),(168,1),(191,1),(196,1),(207,1)}
       183:{4,5,7}:{(165,1),(166,1),(173,1),(196,1)}
       184:{2,4,5}:{(169,1),(170,1),(173,1),(197,1)}
       185:{3,4,6}:{(170,1),(171,1),(174,1),(193,1),(197,1),(198,1),(207,1)}
       186:{1,3,6}:{(171,1),(175,1),(194,1),(198,1),(199,1)}
       187:{2,3,6}:{(171,1),(172,1),(176,1),(195,1),(199,1)}
       188:{1,4}:{(174,1),(175,1)}
       189:{2,3,4}:{(174,1),(176,1),(200,1)}
       190:{1,2,5}:{(175,1),(176,1),(199,1),(200,1)}
       191:{2,5,6}:{(177,1),(178,1),(182,1),(201,1)}
       192:{2,4,5,7}:{(178,1),(179,1),(183,1),(184,1),(201,1),(202,1)}
       193:{3,4,7}:{(179,1),(180,1),(185,1),(202,1),(203,1)}
       194:{1,3,7}:{(180,1),(186,1),(203,1),(204,1)}
       195:{2,3,7}:{(180,1),(181,1),(187,1),(204,1)}
       196:{4,6}:{(182,1),(183,1)}
       197:{3,5}:{(184,1),(185,1),(205,1)}
       198:{1,4,6}:{(185,1),(186,1),(188,1),(203,1),(205,1),(209,1)}
       199:{1,2,6}:{(186,1),(187,1),(190,1),(204,1)}
       200:{1,2,4}:{(188,1),(189,1),(190,1),(206,1)}
       201:{2,4,6}:{(191,1),(192,1),(196,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(197,1),(207,1),(208,1)}
       203:{1,4,7}:{(193,1),(194,1),(198,1),(208,1)}
       204:{1,2,7}:{(194,1),(195,1),(199,1)}
       205:{1,5}:{(197,1),(198,1)}
       206:{1,3}:{(200,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{1,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

1029 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(57,1),(114,1)}
         1:{2,3,4,6}:{(2,1),(5,1),(6,1),(21,1),(24,1),(28,1),(57,1),(67,1)}
         2:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(38,1)}
         3:{1,2,3,5}:{(0,1),(8,1),(10,1),(36,1),(89,1),(94,1)}
         4:{1,2,3,7}:{(0,1),(9,1),(87,1),(142,1),(230,1)}
         5:{2,3,5}:{(1,1),(8,1),(13,1),(36,1),(98,1)}
         6:{2,3,4,7}:{(1,1),(9,1),(14,1),(41,1),(44,1),(87,1),(220,1)}
         7:{1,3,4,6}:{(2,1),(16,1),(17,1),(21,1),(52,1),(56,1),(57,1),(67,1)}
         8:{1,2,5}:{(2,1),(5,1),(16,1)}
         9:{1,2,4,7}:{(2,1),(4,1),(6,1),(17,1),(20,1),(227,1)}
        10:{1,2,4}:{(3,1),(21,1)}
        11:{1,2,3,5,7}:{(3,1),(4,1),(20,1),(22,1),(23,1),(62,1),(68,1),(119,1),(123,1),(172,1)}
        12:{2,3,5,6}:{(5,1),(18,1),(24,1),(25,1),(28,1),(29,1),(57,1),(74,1),(122,1)}
        13:{2,4,5}:{(5,1),(24,1),(26,1),(127,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(20,1),(27,1),(28,1),(62,1),(209,1),(225,1)}
        15:{2,4,5,6}:{(24,1),(29,1),(30,1),(74,1),(131,1)}
        16:{1,3,5}:{(7,1),(8,1),(32,1),(36,1),(98,1)}
        17:{1,3,4,7}:{(7,1),(9,1),(33,1),(41,1),(80,1),(87,1),(219,1)}
        18:{1,2,5,6}:{(8,1),(12,1),(31,1),(34,1),(35,1),(38,1),(49,1),(134,1)}
        19:{1,2,4,5}:{(8,1),(10,1),(13,1),(32,1),(34,1),(36,1),(46,1),(82,1),(89,1)}
        20:{1,2,5,7}:{(8,1),(9,1),(14,1),(33,1),(38,1),(221,1),(229,1)}
        21:{3,4}:{(10,1),(36,1)}
        22:{1,2,4,7}:{(10,1),(11,1),(41,1),(42,1),(190,1)}
        23:{1,2,3,6}:{(11,1),(38,1),(42,1),(92,1),(146,1)}
        24:{2,4,6}:{(12,1),(13,1),(43,1),(44,1),(149,1)}
        25:{2,3,5,7}:{(12,1),(35,1),(44,1),(45,1),(50,1),(87,1),(101,1),(145,1)}
        26:{3,4,5}:{(13,1),(36,1),(43,1),(46,1)}
        27:{2,4,5,7}:{(13,1),(14,1),(44,1),(47,1),(48,1),(101,1),(192,1),(215,1)}
        28:{2,3,6}:{(14,1),(38,1),(48,1),(92,1)}
        29:{3,5,6}:{(15,1),(43,1),(49,1),(50,1)}
        30:{2,4,5,7}:{(15,1),(44,1),(50,1),(51,1),(101,1),(155,1)}
        31:{1,3,5,6}:{(16,1),(18,1),(52,1),(53,1),(56,1),(57,1),(106,1),(113,1),(122,1)}
        32:{1,4,5}:{(16,1),(52,1),(54,1),(127,1)}
        33:{1,3,5,7}:{(16,1),(17,1),(20,1),(55,1),(56,1),(62,1),(208,1),(224,1)}
        34:{1,2,4,6}:{(18,1),(19,1),(24,1),(52,1),(57,1),(58,1),(69,1),(108,1),(114,1)}
        35:{1,2,5,7}:{(18,1),(25,1),(53,1),(58,1),(59,1),(75,1),(158,1)}
        36:{3,5}:{(19,1),(21,1),(57,1)}
        37:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(27,1),(55,1),(58,1),(62,1),(63,1),(68,1),(72,1),(111,1),(118,1),(119,1),(127,1),(168,1),(173,1),(201,1)}
        38:{1,2,6}:{(20,1),(28,1),(56,1)}
        39:{1,3,4}:{(21,1),(60,1),(64,1)}
        40:{2,3,4}:{(21,1),(61,1),(64,1)}
        41:{3,4,7}:{(21,1),(22,1),(62,1),(67,1),(168,1),(207,1)}
        42:{1,2,4,6}:{(22,1),(23,1),(67,1),(68,1)}
        43:{3,4,6}:{(24,1),(26,1),(29,1),(57,1),(69,1),(70,1)}
        44:{2,4,7}:{(24,1),(25,1),(70,1),(168,1)}
        45:{2,3,6,7}:{(25,1),(28,1),(59,1),(71,1),(76,1),(117,1),(225,1)}
        46:{1,4,5}:{(26,1),(60,1),(69,1)}
        47:{3,4,5,7}:{(26,1),(27,1),(62,1),(70,1),(72,1),(73,1),(127,1),(129,1),(168,1),(174,1),(202,1)}
        48:{2,4,6}:{(27,1),(28,1),(73,1),(74,1)}
        49:{1,5,6}:{(29,1),(69,1),(75,1)}
        50:{3,5,7}:{(29,1),(30,1),(70,1),(75,1),(76,1)}
        51:{2,4,6,7}:{(30,1),(76,1),(77,1),(133,1)}
        52:{1,4,6}:{(31,1),(32,1),(79,1),(80,1),(149,1)}
        53:{1,3,5,7}:{(31,1),(35,1),(80,1),(81,1),(87,1),(135,1),(139,1),(145,1)}
        54:{3,4,5}:{(32,1),(36,1),(79,1),(82,1)}
        55:{1,4,5,7}:{(32,1),(33,1),(80,1),(83,1),(84,1),(139,1),(193,1),(216,1)}
        56:{1,3,6}:{(33,1),(38,1),(84,1),(92,1)}
        57:{3,6}:{(34,1),(36,1),(87,1)}
        58:{1,2,4,7}:{(34,1),(35,1),(44,1),(80,1),(87,1),(99,1),(137,1),(142,1)}
        59:{1,2,6,7}:{(35,1),(38,1),(45,1),(81,1),(104,1),(179,1),(229,1)}
        60:{1,3,5}:{(36,1),(39,1),(46,1),(85,1),(89,1)}
        61:{2,3,5}:{(36,1),(40,1),(82,1),(86,1),(89,1)}
        62:{3,5,7}:{(36,1),(37,1),(41,1),(87,1),(92,1),(98,1),(191,1),(214,1)}
        63:{1,2,4,6}:{(37,1),(38,1),(48,1),(84,1),(92,1),(93,1),(102,1),(140,1),(146,1),(149,1)}
        64:{1,2,4}:{(39,1),(40,1),(89,1),(94,1)}
        65:{1,3,4,7}:{(39,1),(41,1),(90,1),(95,1),(96,1),(185,1),(214,1)}
        66:{2,3,4,7}:{(40,1),(41,1),(91,1),(95,1),(97,1),(186,1),(214,1)}
        67:{3,4,6}:{(41,1),(42,1),(92,1),(98,1),(149,1)}
        68:{1,2,5}:{(42,1),(98,1)}
        69:{1,4,6}:{(43,1),(46,1),(49,1),(85,1),(99,1)}
        70:{3,4,7}:{(43,1),(44,1),(50,1),(87,1),(99,1)}
        71:{2,4,6,7}:{(44,1),(45,1),(48,1),(100,1),(101,1),(196,1),(215,1)}
        72:{1,4,5,7}:{(46,1),(47,1),(90,1),(99,1),(102,1),(152,1),(154,1),(185,1)}
        73:{3,4,6}:{(47,1),(48,1),(92,1),(102,1),(103,1),(149,1)}
        74:{2,5,6}:{(48,1),(101,1),(103,1)}
        75:{1,5,7}:{(49,1),(50,1),(99,1),(104,1)}
        76:{3,6,7}:{(50,1),(51,1),(104,1)}
        77:{2,5,6,7}:{(51,1),(101,1),(105,1),(196,1)}
        78:{1,4,5,6}:{(52,1),(106,1),(107,1),(113,1),(164,1)}
        79:{3,4,6}:{(52,1),(54,1),(57,1),(106,1),(108,1),(109,1)}
        80:{1,4,7}:{(52,1),(53,1),(109,1),(168,1)}
        81:{1,3,6,7}:{(53,1),(56,1),(59,1),(110,1),(117,1),(159,1),(224,1)}
        82:{2,4,5}:{(54,1),(61,1),(108,1)}
        83:{3,4,5,7}:{(54,1),(55,1),(62,1),(109,1),(111,1),(112,1),(127,1),(162,1),(168,1),(175,1),(203,1)}
        84:{1,4,6}:{(55,1),(56,1),(112,1),(113,1)}
        85:{1,3,6}:{(57,1),(60,1),(69,1),(114,1),(115,1)}
        86:{2,3,6}:{(57,1),(61,1),(108,1),(114,1),(116,1)}
        87:{3,7}:{(57,1),(58,1)}
        88:{1,2,4,6,7}:{(58,1),(59,1),(63,1),(71,1),(110,1),(117,1),(118,1),(128,1),(161,1),(165,1),(168,1),(201,1)}
        89:{1,2,5}:{(60,1),(61,1),(64,1),(114,1)}
        90:{1,3,5,7}:{(60,1),(62,1),(65,1),(72,1),(115,1),(119,1),(120,1),(125,1)}
        91:{2,3,5,7}:{(61,1),(62,1),(66,1),(111,1),(116,1),(119,1),(121,1),(126,1)}
        92:{3,6}:{(62,1),(63,1)}
        93:{1,2,5,6}:{(63,1),(68,1),(74,1),(113,1),(118,1),(122,1),(130,1),(163,1)}
        94:{1,2,3}:{(64,1)}
        95:{1,2,4,7}:{(64,1),(65,1),(66,1),(119,1),(123,1),(124,1)}
        96:{1,3,4,6}:{(65,1),(67,1),(120,1),(124,1),(125,1),(170,1),(204,1),(207,1)}
        97:{2,3,4,6}:{(66,1),(67,1),(121,1),(124,1),(126,1),(171,1),(204,1),(207,1)}
        98:{3,5}:{(67,1),(68,1),(127,1)}
        99:{1,4,7}:{(69,1),(70,1),(75,1),(115,1)}
       100:{3,4,6,7}:{(70,1),(71,1),(73,1),(76,1),(117,1),(128,1),(129,1),(133,1),(168,1),(178,1),(202,1)}
       101:{2,5,7}:{(71,1),(74,1),(129,1)}
       102:{1,4,6}:{(72,1),(73,1),(120,1),(130,1)}
       103:{3,5,6}:{(73,1),(74,1),(129,1),(130,1),(131,1)}
       104:{1,6,7}:{(75,1),(76,1)}
       105:{3,5,6,7}:{(76,1),(77,1),(129,1),(132,1),(133,1),(178,1)}
       106:{3,5,6}:{(78,1),(79,1),(134,1),(135,1)}
       107:{1,4,5,7}:{(78,1),(80,1),(135,1),(136,1),(139,1),(182,1)}
       108:{2,4,6}:{(79,1),(82,1),(86,1),(134,1),(137,1)}
       109:{3,4,7}:{(79,1),(80,1),(87,1),(135,1),(137,1)}
       110:{1,4,6,7}:{(80,1),(81,1),(84,1),(138,1),(139,1),(216,1),(228,1)}
       111:{2,4,5,7}:{(82,1),(83,1),(91,1),(137,1),(140,1),(153,1),(181,1),(186,1)}
       112:{3,4,6}:{(83,1),(84,1),(92,1),(140,1),(141,1),(149,1)}
       113:{1,5,6}:{(84,1),(139,1),(141,1)}
       114:{1,2,6}:{(85,1),(86,1),(89,1),(142,1)}
       115:{1,3,7}:{(85,1),(87,1),(99,1),(142,1)}
       116:{2,3,7}:{(86,1),(87,1),(137,1),(142,1)}
       117:{3,6,7}:{(87,1),(88,1),(92,1),(145,1),(214,1)}
       118:{1,2,5,7}:{(88,1),(93,1),(101,1),(139,1),(145,1),(154,1),(181,1)}
       119:{1,2,5,7}:{(89,1),(90,1),(91,1),(95,1),(142,1),(146,1),(151,1)}
       120:{1,3,6}:{(90,1),(92,1),(102,1),(146,1)}
       121:{2,3,6}:{(91,1),(92,1),(140,1),(146,1)}
       122:{3,5,6}:{(92,1),(93,1),(98,1),(145,1),(149,1)}
       123:{1,2,3,7}:{(94,1),(95,1),(150,1),(214,1),(229,1)}
       124:{1,2,4,6}:{(95,1),(96,1),(97,1),(146,1),(150,1),(151,1),(190,1)}
       125:{1,3,5}:{(96,1),(98,1),(151,1),(152,1),(191,1)}
       126:{2,3,5}:{(97,1),(98,1),(151,1),(153,1),(191,1)}
       127:{4,5}:{(98,1),(149,1)}
       128:{1,4,6,7}:{(99,1),(100,1),(102,1),(104,1),(143,1),(154,1),(185,1)}
       129:{3,5,7}:{(100,1),(101,1),(103,1),(154,1),(155,1)}
       130:{1,5,6}:{(102,1),(103,1),(154,1)}
       131:{4,5,6}:{(103,1),(149,1),(155,1)}
       132:{1,5,6,7}:{(104,1),(105,1),(154,1),(157,1)}
       133:{4,6,7}:{(105,1),(155,1)}
       134:{2,5,6}:{(106,1),(108,1),(158,1)}
       135:{3,5,7}:{(106,1),(107,1),(109,1),(158,1),(159,1)}
       136:{1,4,6,7}:{(107,1),(159,1),(160,1),(198,1)}
       137:{2,4,7}:{(108,1),(109,1),(116,1),(158,1)}
       138:{3,4,6,7}:{(109,1),(110,1),(112,1),(117,1),(159,1),(161,1),(162,1),(168,1),(198,1),(203,1),(222,1)}
       139:{1,5,7}:{(110,1),(113,1),(162,1)}
       140:{2,4,6}:{(111,1),(112,1),(121,1),(163,1)}
       141:{3,5,6}:{(112,1),(113,1),(162,1),(163,1),(164,1)}
       142:{1,2,7}:{(114,1),(115,1),(116,1)}
       143:{1,3,6,7}:{(115,1),(117,1),(120,1),(128,1),(165,1),(166,1),(178,1)}
       144:{2,3,6,7}:{(116,1),(117,1),(121,1),(161,1),(165,1),(167,1),(222,1)}
       145:{3,5,7}:{(117,1),(118,1),(122,1),(168,1)}
       146:{1,2,6}:{(119,1),(120,1),(121,1)}
       147:{1,3,5,6}:{(120,1),(122,1),(125,1),(130,1),(166,1),(169,1),(170,1),(177,1),(204,1)}
       148:{2,3,5,6}:{(121,1),(122,1),(126,1),(163,1),(167,1),(169,1),(171,1),(200,1),(204,1)}
       149:{4,6}:{(122,1),(127,1),(168,1)}
       150:{1,2,3,6}:{(123,1),(124,1),(172,1),(204,1),(226,1)}
       151:{1,2,5}:{(124,1),(125,1),(126,1)}
       152:{1,4,5}:{(125,1),(127,1),(170,1),(174,1)}
       153:{2,4,5}:{(126,1),(127,1),(171,1),(175,1)}
       154:{1,5,7}:{(128,1),(129,1),(130,1)}
       155:{4,5,7}:{(129,1),(131,1),(133,1),(168,1)}
       156:{1,4,5,6}:{(130,1),(131,1),(170,1),(176,1),(177,1)}
       157:{1,4,6,7}:{(132,1),(133,1),(176,1),(178,1)}
       158:{2,5,7}:{(134,1),(135,1),(137,1),(179,1)}
       159:{3,6,7}:{(135,1),(136,1),(179,1)}
       160:{1,5,6,7}:{(136,1),(139,1),(180,1),(228,1)}
       161:{2,4,6,7}:{(137,1),(138,1),(140,1),(144,1),(179,1),(181,1),(186,1)}
       162:{3,5,7}:{(138,1),(139,1),(141,1),(181,1),(182,1)}
       163:{2,5,6}:{(140,1),(141,1),(181,1)}
       164:{4,5,6}:{(141,1),(149,1),(182,1)}
       165:{1,2,6,7}:{(142,1),(143,1),(144,1),(146,1),(184,1),(196,1),(228,1)}
       166:{1,3,5,7}:{(143,1),(145,1),(147,1),(154,1),(184,1),(185,1),(194,1),(214,1)}
       167:{2,3,5,7}:{(144,1),(145,1),(148,1),(181,1),(184,1),(186,1),(212,1),(214,1)}
       168:{4,7}:{(145,1),(149,1)}
       169:{1,2,5,6}:{(146,1),(147,1),(148,1),(151,1),(184,1),(187,1),(195,1),(213,1)}
       170:{1,4,6}:{(147,1),(149,1),(152,1),(185,1),(188,1)}
       171:{2,4,6}:{(148,1),(149,1),(153,1),(186,1),(189,1)}
       172:{1,2,3,5}:{(150,1),(151,1),(190,1),(191,1),(221,1),(230,1)}
       173:{1,2,4,5}:{(151,1),(152,1),(153,1),(187,1),(190,1),(191,1),(192,1),(193,1),(221,1)}
       174:{3,4,5}:{(152,1),(188,1),(191,1),(192,1)}
       175:{3,4,5}:{(153,1),(189,1),(191,1),(193,1)}
       176:{1,4,5,7}:{(154,1),(155,1),(156,1),(157,1),(185,1),(194,1)}
       177:{3,5,6}:{(156,1),(188,1),(194,1),(195,1)}
       178:{3,6,7}:{(157,1),(194,1),(196,1)}
       179:{2,6,7}:{(158,1),(159,1)}
       180:{3,5,6,7}:{(159,1),(160,1),(162,1),(197,1),(198,1),(222,1)}
       181:{2,5,7}:{(161,1),(162,1),(163,1)}
       182:{4,5,7}:{(162,1),(164,1),(168,1),(198,1)}
       183:{2,4,5,6}:{(163,1),(164,1),(171,1),(199,1),(200,1)}
       184:{1,2,5,7}:{(165,1),(166,1),(167,1),(169,1),(201,1),(210,1),(223,1)}
       185:{1,4,7}:{(166,1),(168,1),(170,1),(202,1)}
       186:{2,4,7}:{(167,1),(168,1),(171,1),(203,1)}
       187:{1,2,4,6}:{(169,1),(170,1),(171,1),(173,1),(201,1),(204,1),(205,1),(206,1),(226,1)}
       188:{3,4,6}:{(170,1),(174,1),(177,1),(202,1),(204,1),(205,1)}
       189:{3,4,6}:{(171,1),(175,1),(200,1),(203,1),(204,1),(206,1)}
       190:{1,2,4}:{(172,1),(207,1)}
       191:{3,5}:{(173,1),(204,1),(207,1)}
       192:{2,4,5}:{(174,1),(205,1),(209,1)}
       193:{1,4,5}:{(175,1),(206,1),(208,1)}
       194:{3,5,7}:{(176,1),(177,1),(178,1),(202,1),(210,1)}
       195:{2,5,6}:{(177,1),(205,1),(210,1)}
       196:{2,6,7}:{(178,1),(210,1)}
       197:{2,5,6,7}:{(179,1),(180,1),(181,1),(211,1)}
       198:{4,6,7}:{(180,1),(182,1)}
       199:{2,4,5,7}:{(181,1),(182,1),(183,1),(186,1),(211,1),(212,1)}
       200:{3,5,6}:{(183,1),(189,1),(212,1),(213,1)}
       201:{1,2,4,7}:{(184,1),(185,1),(186,1),(187,1),(214,1),(215,1),(216,1),(229,1)}
       202:{3,4,7}:{(185,1),(188,1),(194,1),(214,1),(215,1)}
       203:{3,4,7}:{(186,1),(189,1),(212,1),(214,1),(216,1)}
       204:{3,6}:{(187,1),(191,1),(214,1)}
       205:{2,4,6}:{(188,1),(192,1),(195,1),(215,1),(218,1)}
       206:{1,4,6}:{(189,1),(193,1),(213,1),(216,1),(217,1)}
       207:{3,4}:{(190,1),(191,1)}
       208:{1,3,5}:{(191,1),(193,1),(217,1),(219,1),(221,1)}
       209:{2,3,5}:{(191,1),(192,1),(218,1),(220,1),(221,1)}
       210:{2,5,7}:{(194,1),(195,1),(196,1),(215,1)}
       211:{2,4,6,7}:{(197,1),(198,1),(199,1),(222,1)}
       212:{3,5,7}:{(199,1),(200,1),(203,1),(222,1),(223,1)}
       213:{1,5,6}:{(200,1),(206,1),(223,1)}
       214:{3,7}:{(201,1),(204,1)}
       215:{2,4,7}:{(202,1),(205,1),(210,1),(225,1)}
       216:{1,4,7}:{(203,1),(206,1),(223,1),(224,1)}
       217:{1,3,6}:{(204,1),(206,1),(208,1),(224,1),(226,1)}
       218:{2,3,6}:{(204,1),(205,1),(209,1),(225,1),(226,1)}
       219:{1,3,4}:{(207,1),(208,1),(227,1)}
       220:{2,3,4}:{(207,1),(209,1),(227,1)}
       221:{1,2,5}:{(208,1),(209,1),(226,1),(227,1)}
       222:{3,6,7}:{(211,1),(212,1),(228,1)}
       223:{1,5,7}:{(212,1),(213,1),(216,1),(228,1)}
       224:{1,3,7}:{(214,1),(216,1),(217,1),(229,1)}
       225:{2,3,7}:{(214,1),(215,1),(218,1),(229,1)}
       226:{1,2,6}:{(217,1),(218,1),(221,1),(229,1)}
       227:{1,2,4}:{(219,1),(220,1),(221,1),(230,1)}
       228:{1,6,7}:{(222,1),(223,1)}
       229:{1,2,7}:{(224,1),(225,1),(226,1)}
       230:{1,2,3}:{(227,1)}

1030 :   0:{1,3,5,7}:{(4,1),(5,1),(6,1),(25,1),(27,1),(31,1),(61,1)}
         1:{2,3,5,7}:{(4,1),(7,1),(8,1),(9,1),(27,1),(34,1),(61,1)}
         2:{2,4,5,7}:{(7,1),(9,1),(10,1),(12,1),(34,1),(38,1),(65,1)}
         3:{2,4,6,7}:{(10,1),(11,1),(12,1),(38,1)}
         4:{1,2,5,7}:{(0,1),(1,1),(14,1),(15,1),(20,1),(40,1),(46,1)}
         5:{1,4,7}:{(0,1),(16,1),(17,1),(75,1),(101,1)}
         6:{1,3,6}:{(0,1),(15,1),(17,1),(41,1),(45,1),(102,1)}
         7:{2,4,7}:{(1,1),(18,1),(19,1),(75,1),(79,1)}
         8:{2,3,6}:{(1,1),(15,1),(19,1),(21,1),(45,1),(103,1)}
         9:{3,5,7}:{(2,1),(18,1),(20,1),(21,1),(50,1)}
        10:{2,4,6}:{(2,1),(21,1),(22,1),(52,1)}
        11:{3,6,7}:{(3,1),(21,1),(23,1),(24,1)}
        12:{2,5,7}:{(3,1),(22,1),(24,1),(79,1)}
        13:{1,4,5,7}:{(5,1),(25,1),(26,1),(31,1),(55,1),(63,1),(81,1)}
        14:{1,2,4,7}:{(4,1),(5,1),(7,1),(27,1),(28,1),(29,1),(32,1),(58,1)}
        15:{1,2,6}:{(4,1),(6,1),(8,1),(35,1),(56,1),(104,1)}
        16:{3,4,7}:{(5,1),(25,1),(27,1),(29,1),(30,1),(81,1),(96,1)}
        17:{1,4,6}:{(5,1),(6,1),(30,1),(31,1),(97,1),(100,1)}
        18:{3,4,7}:{(7,1),(9,1),(27,1),(32,1),(33,1),(38,1),(67,1)}
        19:{2,4,6}:{(7,1),(8,1),(33,1),(34,1),(88,1),(99,1)}
        20:{1,5,7}:{(9,1),(32,1),(35,1),(64,1)}
        21:{3,6}:{(9,1),(10,1),(35,1)}
        22:{2,5,6}:{(10,1),(12,1),(34,1),(36,1),(88,1)}
        23:{1,6,7}:{(11,1),(35,1),(37,1)}
        24:{3,5,7}:{(11,1),(12,1),(36,1),(37,1),(38,1),(67,1)}
        25:{3,5,7}:{(13,1),(16,1),(40,1),(41,1),(48,1)}
        26:{1,4,6}:{(13,1),(41,1),(42,1),(71,1)}
        27:{3,7}:{(14,1),(45,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(17,1),(19,1),(45,1),(46,1),(47,1),(49,1),(72,1),(75,1),(91,1)}
        29:{2,4,7}:{(16,1),(40,1),(44,1),(47,1)}
        30:{3,4,6}:{(16,1),(17,1),(41,1),(45,1),(47,1),(48,1),(71,1),(75,1),(90,1),(93,1)}
        31:{1,5}:{(17,1),(48,1)}
        32:{1,4,7}:{(18,1),(20,1),(43,1),(49,1)}
        33:{3,4,6}:{(18,1),(19,1),(21,1),(45,1),(49,1),(50,1),(52,1),(75,1),(78,1),(92,1)}
        34:{2,5}:{(19,1),(50,1)}
        35:{1,6}:{(20,1),(21,1)}
        36:{3,5,6}:{(21,1),(22,1),(24,1),(50,1),(51,1),(52,1),(78,1)}
        37:{1,5,7}:{(23,1),(24,1),(51,1),(53,1)}
        38:{4,7}:{(24,1),(52,1)}
        39:{1,4,6,7}:{(26,1),(54,1),(55,1),(81,1)}
        40:{2,5,7}:{(25,1),(29,1),(56,1),(62,1)}
        41:{3,6}:{(25,1),(26,1),(56,1)}
        42:{1,5,6}:{(26,1),(31,1),(55,1),(57,1),(97,1)}
        43:{1,3,7}:{(27,1),(32,1),(58,1),(59,1),(67,1)}
        44:{2,3,7}:{(27,1),(29,1),(58,1),(60,1),(96,1)}
        45:{3,6}:{(27,1),(28,1),(61,1),(98,1)}
        46:{1,2,5}:{(28,1),(31,1),(34,1),(61,1),(62,1),(64,1)}
        47:{2,4,6}:{(29,1),(30,1),(56,1),(60,1),(62,1),(85,1)}
        48:{3,5}:{(30,1),(31,1),(62,1),(63,1)}
        49:{1,4,6}:{(32,1),(33,1),(35,1),(59,1),(64,1),(84,1)}
        50:{3,5}:{(33,1),(34,1),(64,1),(65,1)}
        51:{1,5,6}:{(35,1),(36,1),(37,1),(64,1),(66,1)}
        52:{4,6}:{(36,1),(38,1),(65,1)}
        53:{1,4,7}:{(37,1),(38,1),(66,1),(67,1)}
        54:{3,6,7}:{(39,1),(41,1),(68,1),(69,1)}
        55:{1,5,7}:{(39,1),(42,1),(69,1),(101,1)}
        56:{2,6}:{(40,1),(41,1)}
        57:{3,5,6}:{(41,1),(42,1),(48,1),(69,1),(70,1),(71,1),(90,1)}
        58:{1,2,7}:{(43,1),(44,1),(72,1),(79,1),(101,1)}
        59:{1,3,6}:{(43,1),(45,1),(49,1),(72,1),(73,1),(78,1)}
        60:{2,3,6}:{(44,1),(45,1),(47,1),(72,1),(74,1),(90,1)}
        61:{3,5}:{(45,1),(46,1),(75,1)}
        62:{2,5}:{(47,1),(48,1)}
        63:{4,5}:{(48,1),(71,1),(75,1)}
        64:{1,5}:{(49,1),(50,1)}
        65:{4,5}:{(50,1),(52,1),(75,1)}
        66:{1,4,6}:{(51,1),(52,1),(53,1),(77,1),(78,1)}
        67:{3,7}:{(53,1),(78,1),(79,1)}
        68:{2,6,7}:{(54,1),(56,1),(80,1)}
        69:{3,5,7}:{(54,1),(55,1),(57,1),(80,1),(81,1),(96,1)}
        70:{2,5,6}:{(56,1),(57,1),(62,1),(80,1),(82,1)}
        71:{4,6}:{(57,1),(63,1),(81,1)}
        72:{1,2,6}:{(58,1),(59,1),(60,1),(83,1),(88,1),(97,1)}
        73:{1,3,5}:{(59,1),(61,1),(64,1),(83,1),(84,1),(87,1),(98,1)}
        74:{2,3,5}:{(60,1),(61,1),(62,1),(83,1),(85,1),(86,1),(98,1)}
        75:{4}:{(61,1)}
        76:{2,4,5}:{(62,1),(63,1),(82,1),(85,1),(86,1)}
        77:{1,4,5}:{(64,1),(65,1),(66,1),(84,1),(87,1)}
        78:{3,6}:{(66,1),(67,1),(87,1),(88,1)}
        79:{2,7}:{(67,1),(88,1)}
        80:{2,5,7}:{(68,1),(69,1),(70,1),(89,1)}
        81:{4,7}:{(69,1),(71,1)}
        82:{2,4,6}:{(70,1),(71,1),(76,1),(89,1),(90,1)}
        83:{1,2,5}:{(72,1),(73,1),(74,1),(91,1),(94,1),(95,1)}
        84:{1,4}:{(73,1),(75,1),(92,1)}
        85:{2,4}:{(74,1),(75,1),(93,1)}
        86:{3,5}:{(76,1),(90,1),(93,1),(94,1)}
        87:{3,5}:{(77,1),(78,1),(92,1),(95,1)}
        88:{2,6}:{(78,1),(79,1),(95,1)}
        89:{2,4,7}:{(80,1),(81,1),(82,1),(96,1)}
        90:{3,6}:{(82,1),(86,1),(96,1),(97,1)}
        91:{1,2,4}:{(83,1),(84,1),(85,1),(98,1),(99,1),(100,1),(104,1)}
        92:{3,4}:{(84,1),(87,1),(98,1),(99,1)}
        93:{3,4}:{(85,1),(86,1),(98,1),(100,1)}
        94:{1,5}:{(86,1),(97,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(99,1)}
        96:{3,7}:{(89,1),(90,1),(101,1)}
        97:{1,6}:{(90,1),(94,1),(101,1)}
        98:{3}:{(91,1)}
        99:{2,4}:{(92,1),(95,1),(103,1)}
       100:{1,4}:{(93,1),(94,1),(102,1)}
       101:{1,7}:{(96,1),(97,1)}
       102:{1,3}:{(98,1),(100,1),(104,1)}
       103:{2,3}:{(98,1),(99,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

1031 :   0:{1,3,4,6,7}:{(1,1),(2,1),(11,1),(18,1),(34,1),(36,1),(43,1),(66,1),(71,1),(95,1),(106,1)}
         1:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(21,1),(23,1),(30,1),(61,1),(90,1),(110,1)}
         2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(24,1),(27,1),(82,1),(109,1)}
         3:{1,3,5,6,7}:{(4,1),(8,1),(9,1),(27,1),(29,1),(55,1),(119,1)}
         4:{1,3,5,6}:{(2,1),(10,1),(11,1),(32,1),(34,1)}
         5:{2,3,6,7}:{(1,1),(12,1),(34,1),(106,1),(122,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(10,1),(12,1),(40,1),(121,1)}
         7:{1,4,5,7}:{(2,1),(11,1),(14,1),(71,1),(96,1)}
         8:{1,2,5,6,7}:{(3,1),(10,1),(16,1),(17,1),(40,1),(73,1),(75,1),(107,1)}
         9:{1,4,6,7}:{(3,1),(11,1),(15,1),(18,1),(71,1),(129,1)}
        10:{1,2,5,6}:{(4,1),(6,1),(20,1),(21,1),(46,1),(82,1)}
        11:{1,4,6}:{(4,1),(7,1),(22,1)}
        12:{2,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(24,1),(130,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(21,1),(23,1),(24,1),(25,1),(47,1),(51,1),(53,1),(82,1),(90,1),(111,1)}
        14:{3,4,5,7}:{(7,1),(22,1),(24,1),(25,1),(27,1),(54,1),(78,1)}
        15:{1,4,5,7}:{(9,1),(19,1),(27,1),(135,1)}
        16:{2,3,5,6,7}:{(8,1),(20,1),(28,1),(29,1),(56,1),(58,1),(92,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(21,1),(26,1),(28,1),(29,1),(30,1),(59,1),(61,1),(90,1),(117,1)}
        18:{3,4,6,7}:{(9,1),(22,1),(27,1),(29,1),(30,1),(54,1),(134,1)}
        19:{1,4,5,6}:{(11,1),(15,1),(32,1)}
        20:{2,3,5,6}:{(10,1),(12,1),(33,1),(34,1),(65,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(13,1),(33,1),(34,1),(35,1),(66,1),(68,1)}
        22:{3,4,6}:{(11,1),(14,1),(32,1),(34,1),(35,1)}
        23:{2,4,7}:{(12,1),(33,1),(36,1),(136,1)}
        24:{3,5,7}:{(13,1),(34,1),(36,1),(65,1),(106,1),(123,1)}
        25:{2,4,5,7}:{(14,1),(35,1),(38,1),(40,1),(72,1),(97,1)}
        26:{1,2,4,5,7}:{(15,1),(17,1),(31,1),(39,1),(40,1),(41,1),(71,1),(72,1),(73,1),(75,1)}
        27:{3,5,7}:{(15,1),(18,1),(32,1),(40,1),(138,1)}
        28:{2,4,6,7}:{(16,1),(33,1),(41,1),(42,1),(72,1),(104,1)}
        29:{3,6,7}:{(17,1),(34,1),(39,1),(106,1),(127,1)}
        30:{2,4,6,7}:{(18,1),(35,1),(40,1),(44,1),(72,1),(137,1)}
        31:{1,2,4,5,6}:{(19,1),(21,1),(26,1),(45,1),(46,1),(47,1),(57,1),(79,1),(80,1),(81,1),(82,1),(91,1),(111,1),(117,1),(135,1),(139,1)}
        32:{3,5,6}:{(19,1),(22,1),(27,1),(46,1)}
        33:{2,4,6}:{(20,1),(23,1),(47,1),(48,1)}
        34:{3,6}:{(21,1),(24,1)}
        35:{2,4,6}:{(22,1),(25,1),(46,1),(50,1)}
        36:{3,4,7}:{(23,1),(24,1),(48,1),(51,1),(131,1)}
        37:{1,3,5,7}:{(24,1),(49,1),(51,1),(53,1),(82,1),(85,1),(113,1)}
        38:{2,3,5,7}:{(24,1),(25,1),(50,1),(52,1),(53,1),(83,1)}
        39:{3,5,7}:{(26,1),(29,1),(45,1),(54,1)}
        40:{2,5,7}:{(27,1),(30,1),(46,1),(139,1)}
        41:{2,4,5,7}:{(28,1),(47,1),(57,1),(58,1)}
        42:{3,4,6,7}:{(28,1),(29,1),(48,1),(54,1),(58,1),(59,1),(87,1)}
        43:{1,3,6,7}:{(29,1),(49,1),(55,1),(59,1),(61,1),(114,1)}
        44:{2,3,6,7}:{(29,1),(30,1),(50,1),(56,1),(61,1),(132,1)}
        45:{3,5,6}:{(31,1),(34,1),(39,1),(62,1),(65,1),(123,1),(127,1),(138,1)}
        46:{2,5,6}:{(32,1),(35,1),(40,1)}
        47:{2,4,5}:{(33,1),(65,1)}
        48:{3,4,6}:{(33,1),(34,1),(36,1),(65,1),(66,1)}
        49:{1,3,6}:{(34,1),(37,1),(66,1),(68,1)}
        50:{2,3,6}:{(34,1),(35,1),(38,1),(68,1)}
        51:{1,4,7}:{(36,1),(37,1),(66,1),(124,1)}
        52:{2,3,4,7}:{(36,1),(38,1),(67,1),(69,1),(72,1),(106,1)}
        53:{1,2,5,7}:{(37,1),(38,1),(68,1),(69,1),(99,1)}
        54:{3,4,7}:{(39,1),(62,1),(71,1),(72,1),(106,1)}
        55:{1,3,5,7}:{(39,1),(43,1),(63,1),(71,1),(73,1),(75,1),(106,1)}
        56:{2,3,5,7}:{(39,1),(40,1),(44,1),(64,1),(72,1),(73,1),(106,1)}
        57:{2,4,5,6}:{(41,1),(74,1),(104,1)}
        58:{3,5,7}:{(41,1),(42,1),(65,1),(74,1),(75,1)}
        59:{1,4,6,7}:{(42,1),(43,1),(66,1),(71,1),(75,1),(103,1)}
        60:{2,3,4,6,7}:{(42,1),(44,1),(67,1),(72,1),(76,1),(77,1),(104,1),(106,1),(127,1),(128,1),(137,1)}
        61:{1,2,6,7}:{(43,1),(44,1),(68,1),(73,1),(125,1)}
        62:{3,4,6}:{(45,1),(54,1),(78,1),(79,1),(80,1),(112,1),(131,1)}
        63:{1,3,5,6}:{(45,1),(49,1),(55,1),(79,1),(81,1),(82,1),(91,1),(109,1),(112,1),(113,1),(114,1)}
        64:{2,3,5,6}:{(45,1),(46,1),(50,1),(56,1),(80,1),(81,1),(83,1),(112,1),(130,1),(132,1),(139,1)}
        65:{3,5}:{(47,1),(48,1),(82,1)}
        66:{1,4,6}:{(48,1),(49,1),(51,1),(82,1)}
        67:{2,3,4,6}:{(48,1),(50,1),(52,1),(80,1),(83,1),(84,1),(112,1),(131,1)}
        68:{1,2,6}:{(49,1),(50,1),(53,1)}
        69:{1,2,4,7}:{(51,1),(52,1),(53,1),(84,1),(85,1)}
        70:{3,4,5,7}:{(54,1),(58,1),(78,1),(87,1),(88,1),(89,1),(118,1)}
        71:{1,4,7}:{(54,1),(55,1),(79,1)}
        72:{2,4,7}:{(54,1),(56,1),(80,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(61,1),(81,1),(90,1)}
        74:{3,5,6}:{(57,1),(58,1),(87,1),(91,1)}
        75:{1,5,7}:{(58,1),(59,1),(82,1),(91,1)}
        76:{2,3,5,7}:{(58,1),(60,1),(83,1),(89,1),(92,1),(93,1),(118,1),(139,1)}
        77:{1,2,4,6,7}:{(59,1),(60,1),(61,1),(84,1),(90,1),(93,1),(94,1),(117,1),(120,1)}
        78:{3,4,5}:{(62,1),(65,1),(96,1),(97,1),(123,1),(138,1)}
        79:{1,4,6}:{(62,1),(63,1),(71,1),(96,1),(124,1)}
        80:{2,4,6}:{(62,1),(64,1),(72,1),(97,1),(136,1)}
        81:{1,2,5,6}:{(63,1),(64,1),(68,1),(73,1),(98,1),(99,1),(121,1),(125,1)}
        82:{1,5}:{(65,1),(66,1)}
        83:{2,3,5}:{(65,1),(67,1),(97,1),(99,1),(123,1)}
        84:{1,2,4,6}:{(66,1),(67,1),(68,1),(69,1),(99,1),(100,1),(124,1)}
        85:{1,3,7}:{(69,1),(100,1),(106,1)}
        86:{1,3,4,7}:{(71,1),(95,1),(101,1),(102,1),(106,1),(128,1)}
        87:{3,4,6}:{(70,1),(74,1),(103,1),(104,1),(127,1)}
        88:{1,4,5,7}:{(70,1),(71,1),(75,1),(96,1),(101,1),(103,1)}
        89:{2,4,5,7}:{(70,1),(72,1),(76,1),(97,1),(104,1)}
        90:{1,2,4,7}:{(71,1),(72,1),(73,1),(98,1),(106,1)}
        91:{1,5,6}:{(74,1),(75,1),(103,1)}
        92:{2,3,5,6}:{(74,1),(76,1),(104,1),(107,1),(127,1)}
        93:{1,2,5,7}:{(75,1),(76,1),(77,1),(99,1),(107,1),(108,1)}
        94:{1,3,6,7}:{(77,1),(100,1),(106,1),(108,1),(127,1)}
        95:{1,3,4,6}:{(79,1),(86,1),(109,1),(110,1),(112,1),(114,1),(131,1),(134,1)}
        96:{1,4,5}:{(78,1),(79,1),(82,1),(109,1)}
        97:{2,4,5}:{(78,1),(80,1),(83,1),(139,1)}
        98:{1,2,4,6}:{(79,1),(80,1),(81,1),(90,1),(111,1),(112,1)}
        99:{1,2,5}:{(82,1),(83,1),(84,1),(113,1)}
       100:{1,3,6}:{(84,1),(85,1),(112,1),(113,1)}
       101:{1,3,5,7}:{(86,1),(88,1),(109,1),(114,1),(115,1),(118,1)}
       102:{1,2,4,7}:{(86,1),(110,1),(115,1),(116,1),(133,1)}
       103:{1,4,6}:{(87,1),(88,1),(91,1),(114,1)}
       104:{2,4,6}:{(87,1),(89,1),(92,1)}
       105:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(93,1),(111,1),(115,1),(117,1),(118,1),(120,1),(133,1),(135,1),(139,1)}
       106:{3,7}:{(90,1),(112,1)}
       107:{1,2,5,6}:{(91,1),(92,1),(93,1),(117,1),(119,1),(139,1)}
       108:{1,3,5,7}:{(93,1),(94,1),(113,1),(118,1),(119,1),(120,1)}
       109:{1,3,5}:{(95,1),(96,1),(121,1),(123,1),(138,1)}
       110:{1,2,4,6}:{(95,1),(102,1),(121,1),(122,1),(125,1),(136,1),(137,1)}
       111:{1,2,4,5}:{(96,1),(97,1),(98,1),(99,1),(121,1),(123,1),(124,1),(136,1)}
       112:{3,6}:{(98,1),(106,1),(123,1)}
       113:{1,3,5}:{(99,1),(100,1),(123,1),(124,1)}
       114:{1,3,6}:{(101,1),(103,1),(125,1),(127,1)}
       115:{1,2,5,7}:{(101,1),(102,1),(121,1),(125,1),(126,1)}
       116:{2,3,7}:{(102,1),(106,1),(122,1)}
       117:{1,2,4,6}:{(103,1),(104,1),(105,1),(107,1),(125,1),(127,1),(129,1),(137,1)}
       118:{3,5,7}:{(105,1),(106,1),(123,1),(127,1),(128,1),(138,1)}
       119:{1,3,5,6}:{(107,1),(108,1),(127,1),(129,1),(138,1)}
       120:{1,4,7}:{(108,1),(124,1),(128,1),(129,1)}
       121:{1,2,5}:{(109,1),(110,1),(130,1),(139,1)}
       122:{2,3,6}:{(110,1),(112,1),(116,1),(130,1)}
       123:{3,5}:{(111,1),(112,1),(131,1)}
       124:{1,4}:{(113,1),(131,1)}
       125:{1,2,6}:{(114,1),(115,1),(132,1)}
       126:{2,3,5,7}:{(115,1),(116,1),(118,1),(130,1),(132,1),(133,1),(139,1)}
       127:{3,6}:{(117,1),(118,1)}
       128:{3,4,7}:{(118,1),(120,1),(131,1),(133,1),(134,1)}
       129:{1,4,6}:{(119,1),(120,1),(134,1),(135,1)}
       130:{2,3,5}:{(121,1),(122,1),(123,1),(136,1)}
       131:{3,4}:{(123,1),(124,1),(136,1)}
       132:{2,3,6}:{(125,1),(126,1),(127,1),(137,1)}
       133:{2,4,7}:{(126,1),(128,1),(136,1),(137,1)}
       134:{3,4,6}:{(127,1),(128,1),(129,1),(137,1),(138,1)}
       135:{1,4,5}:{(129,1),(138,1)}
       136:{2,4}:{(130,1),(131,1)}
       137:{2,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1032 :   0:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(18,1),(42,1),(116,1)}
         1:{1,3,4,6,7}:{(4,1),(5,1),(9,1),(21,1),(31,1),(50,1),(55,1),(59,1),(87,1),(90,1),(100,1)}
         2:{1,2,5,6,7}:{(0,1),(7,1),(8,1),(20,1),(28,1),(61,1),(63,1),(101,1)}
         3:{1,4,6,7}:{(0,1),(6,1),(9,1),(21,1),(59,1),(127,1)}
         4:{1,2,4,6,7}:{(1,1),(12,1),(13,1),(19,1),(34,1),(38,1),(48,1),(81,1),(107,1)}
         5:{1,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(39,1),(103,1),(106,1)}
         6:{1,4,5,7}:{(3,1),(11,1),(16,1),(134,1)}
         7:{2,3,5,6,7}:{(2,1),(17,1),(18,1),(33,1),(43,1),(45,1),(83,1)}
         8:{1,2,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(18,1),(19,1),(34,1),(46,1),(48,1),(81,1),(114,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(18,1),(19,1),(35,1),(41,1),(133,1)}
        10:{1,3,5,6}:{(5,1),(20,1),(21,1),(23,1),(50,1)}
        11:{1,4,5,6}:{(6,1),(21,1),(23,1)}
        12:{2,3,6,7}:{(4,1),(24,1),(50,1),(100,1),(121,1)}
        13:{1,2,5,7}:{(4,1),(5,1),(20,1),(24,1),(28,1),(120,1)}
        14:{1,4,5,7}:{(5,1),(21,1),(26,1),(59,1),(91,1)}
        15:{1,2,4,5,7}:{(6,1),(8,1),(22,1),(27,1),(28,1),(29,1),(59,1),(60,1),(61,1),(63,1)}
        16:{3,5,7}:{(6,1),(9,1),(23,1),(28,1),(138,1)}
        17:{2,4,6,7}:{(7,1),(29,1),(30,1),(49,1),(60,1),(98,1)}
        18:{3,6,7}:{(8,1),(27,1),(50,1),(100,1),(125,1)}
        19:{2,4,6,7}:{(9,1),(28,1),(32,1),(51,1),(60,1),(137,1)}
        20:{1,2,5,6}:{(10,1),(13,1),(33,1),(34,1),(37,1),(103,1)}
        21:{1,4,6}:{(10,1),(14,1),(35,1)}
        22:{1,2,4,5,6}:{(11,1),(15,1),(34,1),(36,1),(37,1),(44,1),(66,1),(71,1),(72,1),(73,1),(82,1),(103,1),(108,1),(114,1),(134,1),(139,1)}
        23:{3,5,6}:{(11,1),(16,1),(35,1),(37,1)}
        24:{2,3,5,7}:{(12,1),(13,1),(33,1),(38,1),(39,1),(129,1)}
        25:{1,2,4,5,7}:{(13,1),(14,1),(34,1),(38,1),(39,1),(40,1),(66,1),(74,1),(76,1),(81,1),(103,1),(108,1)}
        26:{3,4,5,7}:{(14,1),(16,1),(35,1),(39,1),(40,1),(41,1),(70,1)}
        27:{3,5,7}:{(15,1),(18,1),(36,1),(41,1)}
        28:{2,5,7}:{(16,1),(19,1),(37,1),(139,1)}
        29:{2,4,5,7}:{(17,1),(44,1),(45,1),(66,1)}
        30:{3,4,6,7}:{(17,1),(18,1),(41,1),(45,1),(46,1),(67,1),(78,1)}
        31:{1,3,6,7}:{(18,1),(42,1),(46,1),(48,1),(68,1),(111,1)}
        32:{2,3,6,7}:{(18,1),(19,1),(43,1),(48,1),(69,1),(131,1)}
        33:{2,3,5,6}:{(20,1),(24,1),(49,1),(50,1),(86,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(25,1),(49,1),(50,1),(51,1),(87,1),(89,1)}
        35:{3,4,6}:{(21,1),(23,1),(26,1),(50,1),(51,1)}
        36:{3,5,6}:{(22,1),(27,1),(50,1),(52,1),(86,1),(122,1),(125,1),(138,1)}
        37:{2,5,6}:{(23,1),(28,1),(51,1)}
        38:{2,4,7}:{(24,1),(49,1),(55,1),(136,1)}
        39:{3,5,7}:{(25,1),(50,1),(55,1),(86,1),(100,1),(122,1)}
        40:{2,4,5,7}:{(26,1),(28,1),(51,1),(57,1),(60,1),(92,1)}
        41:{3,4,7}:{(27,1),(52,1),(59,1),(60,1),(100,1)}
        42:{1,3,5,7}:{(27,1),(31,1),(53,1),(59,1),(61,1),(63,1),(100,1)}
        43:{2,3,5,7}:{(27,1),(28,1),(32,1),(54,1),(60,1),(61,1),(100,1)}
        44:{2,4,5,6}:{(29,1),(62,1),(98,1)}
        45:{3,5,7}:{(29,1),(30,1),(62,1),(63,1),(86,1)}
        46:{1,4,6,7}:{(30,1),(31,1),(59,1),(63,1),(87,1),(97,1)}
        47:{2,3,4,6,7}:{(30,1),(32,1),(60,1),(64,1),(65,1),(88,1),(98,1),(100,1),(125,1),(126,1),(137,1)}
        48:{1,2,6,7}:{(31,1),(32,1),(61,1),(89,1),(123,1)}
        49:{2,4,6}:{(33,1),(38,1),(66,1),(67,1)}
        50:{3,6}:{(34,1),(39,1)}
        51:{2,4,6}:{(35,1),(37,1),(40,1),(69,1)}
        52:{3,4,6}:{(36,1),(41,1),(70,1),(71,1),(72,1),(109,1),(130,1)}
        53:{1,3,5,6}:{(36,1),(42,1),(68,1),(71,1),(73,1),(82,1),(103,1),(106,1),(109,1),(111,1),(128,1)}
        54:{2,3,5,6}:{(36,1),(37,1),(43,1),(69,1),(72,1),(73,1),(104,1),(109,1),(129,1),(131,1),(139,1)}
        55:{3,4,7}:{(38,1),(39,1),(67,1),(74,1),(130,1)}
        56:{1,3,5,7}:{(39,1),(68,1),(74,1),(76,1),(103,1),(110,1),(128,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(69,1),(75,1),(76,1),(104,1)}
        58:{3,4,5,7}:{(41,1),(45,1),(70,1),(78,1),(79,1),(80,1),(115,1)}
        59:{1,4,7}:{(41,1),(42,1),(71,1)}
        60:{2,4,7}:{(41,1),(43,1),(72,1)}
        61:{1,2,5,7}:{(42,1),(43,1),(48,1),(73,1),(81,1)}
        62:{3,5,6}:{(44,1),(45,1),(78,1),(82,1)}
        63:{1,5,7}:{(45,1),(46,1),(82,1),(103,1)}
        64:{2,3,5,7}:{(45,1),(47,1),(80,1),(83,1),(84,1),(104,1),(115,1),(139,1)}
        65:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(81,1),(84,1),(85,1),(105,1),(114,1),(117,1)}
        66:{2,4,5}:{(49,1),(86,1)}
        67:{3,4,6}:{(49,1),(50,1),(55,1),(86,1),(87,1)}
        68:{1,3,6}:{(50,1),(56,1),(87,1),(89,1)}
        69:{2,3,6}:{(50,1),(51,1),(57,1),(89,1)}
        70:{3,4,5}:{(52,1),(86,1),(91,1),(92,1),(122,1),(138,1)}
        71:{1,4,6}:{(52,1),(53,1),(59,1),(91,1),(135,1)}
        72:{2,4,6}:{(52,1),(54,1),(60,1),(92,1),(136,1)}
        73:{1,2,5,6}:{(53,1),(54,1),(61,1),(89,1),(93,1),(118,1),(120,1),(123,1)}
        74:{1,4,7}:{(55,1),(56,1),(87,1),(135,1)}
        75:{2,3,4,7}:{(55,1),(57,1),(60,1),(88,1),(94,1),(100,1)}
        76:{1,2,5,7}:{(56,1),(57,1),(89,1),(94,1),(118,1)}
        77:{1,3,4,7}:{(59,1),(90,1),(95,1),(96,1),(100,1),(126,1)}
        78:{3,4,6}:{(58,1),(62,1),(97,1),(98,1),(125,1)}
        79:{1,4,5,7}:{(58,1),(59,1),(63,1),(91,1),(95,1),(97,1)}
        80:{2,4,5,7}:{(58,1),(60,1),(64,1),(92,1),(98,1)}
        81:{1,2,4,7}:{(59,1),(60,1),(61,1),(93,1),(100,1)}
        82:{1,5,6}:{(62,1),(63,1),(97,1)}
        83:{2,3,5,6}:{(62,1),(64,1),(98,1),(101,1),(125,1)}
        84:{1,2,5,7}:{(63,1),(64,1),(65,1),(101,1),(102,1),(118,1)}
        85:{1,3,6,7}:{(65,1),(100,1),(102,1),(119,1),(125,1)}
        86:{3,5}:{(66,1),(67,1),(103,1)}
        87:{1,4,6}:{(67,1),(68,1),(74,1),(103,1)}
        88:{2,3,4,6}:{(67,1),(69,1),(72,1),(75,1),(104,1),(105,1),(109,1),(130,1)}
        89:{1,2,6}:{(68,1),(69,1),(76,1)}
        90:{1,3,4,6}:{(71,1),(77,1),(106,1),(107,1),(109,1),(111,1),(130,1),(133,1)}
        91:{1,4,5}:{(70,1),(71,1),(103,1),(106,1)}
        92:{2,4,5}:{(70,1),(72,1),(104,1),(139,1)}
        93:{1,2,4,6}:{(71,1),(72,1),(73,1),(81,1),(108,1),(109,1)}
        94:{1,2,4,7}:{(74,1),(75,1),(76,1),(105,1),(110,1)}
        95:{1,3,5,7}:{(77,1),(79,1),(106,1),(111,1),(112,1),(115,1)}
        96:{1,2,4,7}:{(77,1),(107,1),(112,1),(113,1),(132,1)}
        97:{1,4,6}:{(78,1),(79,1),(82,1),(111,1)}
        98:{2,4,6}:{(78,1),(80,1),(83,1)}
        99:{1,2,4,5,7}:{(79,1),(80,1),(81,1),(84,1),(108,1),(112,1),(114,1),(115,1),(117,1),(132,1),(134,1),(139,1)}
       100:{3,7}:{(81,1),(109,1)}
       101:{1,2,5,6}:{(82,1),(83,1),(84,1),(114,1),(116,1),(139,1)}
       102:{1,3,5,7}:{(84,1),(85,1),(115,1),(116,1),(117,1),(128,1)}
       103:{1,5}:{(86,1),(87,1)}
       104:{2,3,5}:{(86,1),(88,1),(92,1),(118,1),(122,1)}
       105:{1,2,4,6}:{(87,1),(88,1),(89,1),(94,1),(118,1),(119,1),(135,1)}
       106:{1,3,5}:{(90,1),(91,1),(120,1),(122,1),(138,1)}
       107:{1,2,4,6}:{(90,1),(96,1),(120,1),(121,1),(123,1),(136,1),(137,1)}
       108:{1,2,4,5}:{(91,1),(92,1),(93,1),(118,1),(120,1),(122,1),(135,1),(136,1)}
       109:{3,6}:{(93,1),(100,1),(122,1)}
       110:{1,3,7}:{(94,1),(100,1),(119,1)}
       111:{1,3,6}:{(95,1),(97,1),(123,1),(125,1)}
       112:{1,2,5,7}:{(95,1),(96,1),(120,1),(123,1),(124,1)}
       113:{2,3,7}:{(96,1),(100,1),(121,1)}
       114:{1,2,4,6}:{(97,1),(98,1),(99,1),(101,1),(123,1),(125,1),(127,1),(137,1)}
       115:{3,5,7}:{(99,1),(100,1),(122,1),(125,1),(126,1),(138,1)}
       116:{1,3,5,6}:{(101,1),(102,1),(125,1),(127,1),(138,1)}
       117:{1,4,7}:{(102,1),(126,1),(127,1),(135,1)}
       118:{1,2,5}:{(103,1),(104,1),(105,1),(128,1)}
       119:{1,3,6}:{(105,1),(109,1),(110,1),(128,1)}
       120:{1,2,5}:{(106,1),(107,1),(129,1),(139,1)}
       121:{2,3,6}:{(107,1),(109,1),(113,1),(129,1)}
       122:{3,5}:{(108,1),(109,1),(130,1)}
       123:{1,2,6}:{(111,1),(112,1),(131,1)}
       124:{2,3,5,7}:{(112,1),(113,1),(115,1),(129,1),(131,1),(132,1),(139,1)}
       125:{3,6}:{(114,1),(115,1)}
       126:{3,4,7}:{(115,1),(117,1),(130,1),(132,1),(133,1)}
       127:{1,4,6}:{(116,1),(117,1),(133,1),(134,1)}
       128:{1,3,5}:{(118,1),(119,1),(122,1),(135,1)}
       129:{2,3,5}:{(120,1),(121,1),(122,1),(136,1)}
       130:{3,4}:{(122,1),(135,1),(136,1)}
       131:{2,3,6}:{(123,1),(124,1),(125,1),(137,1)}
       132:{2,4,7}:{(124,1),(126,1),(136,1),(137,1)}
       133:{3,4,6}:{(125,1),(126,1),(127,1),(137,1),(138,1)}
       134:{1,4,5}:{(127,1),(138,1)}
       135:{1,4}:{(128,1),(130,1)}
       136:{2,4}:{(129,1),(130,1)}
       137:{2,4,6}:{(131,1),(132,1),(133,1),(139,1)}
       138:{3,5}:{(133,1),(134,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1033 :   0:{1,4,5,6}:{(2,1),(3,1),(21,1),(81,1),(83,1)}
         1:{1,3,4,6}:{(5,1),(6,1),(7,1),(21,1),(36,1),(65,1),(78,1),(114,1),(130,1)}
         2:{3,5,6}:{(0,1),(8,1),(10,1),(11,1)}
         3:{1,4,5,7}:{(0,1),(11,1),(12,1),(42,1),(95,1),(97,1)}
         4:{3,4,5}:{(8,1),(13,1),(14,1),(52,1)}
         5:{1,3,5}:{(1,1),(13,1),(16,1),(52,1),(137,1),(153,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(19,1),(57,1),(59,1),(110,1)}
         7:{1,3,4,7}:{(1,1),(17,1),(19,1),(42,1),(93,1),(106,1),(138,1),(188,1)}
         8:{3,4,6}:{(2,1),(4,1),(21,1),(22,1),(23,1),(65,1)}
         9:{1,3,5,6}:{(2,1),(5,1),(21,1),(24,1),(25,1),(36,1),(65,1),(81,1),(131,1)}
        10:{2,5,6}:{(2,1),(22,1),(26,1)}
        11:{3,5,7}:{(2,1),(3,1),(23,1),(26,1),(27,1)}
        12:{1,4,6,7}:{(3,1),(27,1),(28,1),(74,1)}
        13:{1,4,5}:{(4,1),(5,1),(21,1),(173,1)}
        14:{2,4,5}:{(4,1),(22,1),(29,1)}
        15:{3,4,5,7}:{(4,1),(23,1),(31,1),(32,1),(33,1),(69,1),(79,1),(136,1),(163,1),(166,1),(173,1)}
        16:{1,2,5}:{(5,1),(6,1),(34,1),(133,1)}
        17:{1,3,5,7}:{(5,1),(7,1),(31,1),(35,1),(36,1),(79,1),(159,1),(175,1),(194,1)}
        18:{2,3,6}:{(6,1),(34,1),(37,1),(65,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(35,1),(37,1),(84,1),(200,1)}
        20:{2,3,4}:{(29,1),(38,1),(78,1)}
        21:{1,4,6}:{(8,1),(9,1),(13,1),(42,1),(154,1)}
        22:{2,4,6}:{(8,1),(10,1),(14,1),(40,1),(43,1)}
        23:{3,4,7}:{(8,1),(11,1),(42,1),(43,1),(93,1)}
        24:{1,2,5,6}:{(9,1),(10,1),(16,1),(41,1),(45,1),(46,1),(59,1),(137,1),(177,1)}
        25:{1,3,5,7}:{(9,1),(11,1),(42,1),(46,1),(47,1),(93,1),(95,1),(144,1)}
        26:{2,5,7}:{(10,1),(11,1),(43,1),(48,1)}
        27:{3,6,7}:{(11,1),(12,1),(48,1)}
        28:{1,5,6,7}:{(12,1),(49,1),(95,1),(148,1)}
        29:{2,3,5}:{(14,1),(20,1),(40,1),(50,1),(52,1)}
        30:{1,2,4,5}:{(13,1),(14,1),(16,1),(41,1),(50,1),(52,1),(57,1),(98,1),(102,1),(137,1)}
        31:{1,4,5,7}:{(13,1),(15,1),(17,1),(42,1),(54,1),(95,1),(158,1),(181,1)}
        32:{2,4,5,7}:{(14,1),(15,1),(43,1),(51,1),(55,1),(96,1),(113,1),(141,1)}
        33:{3,4,6}:{(15,1),(54,1),(55,1),(56,1),(107,1),(154,1)}
        34:{2,3,5}:{(16,1),(18,1),(52,1),(57,1)}
        35:{1,2,5,7}:{(16,1),(17,1),(19,1),(58,1),(59,1),(190,1),(204,1)}
        36:{1,3,6}:{(17,1),(54,1),(59,1),(107,1),(177,1)}
        37:{2,3,7}:{(18,1),(19,1),(93,1),(206,1)}
        38:{1,2,4}:{(20,1),(50,1),(60,1),(102,1)}
        39:{2,3,4,7}:{(20,1),(51,1),(61,1),(62,1),(106,1),(141,1),(180,1),(203,1)}
        40:{2,3,6}:{(22,1),(29,1),(63,1),(64,1),(65,1)}
        41:{1,2,4,6}:{(21,1),(22,1),(24,1),(30,1),(63,1),(65,1),(66,1),(70,1),(114,1)}
        42:{1,4,7}:{(21,1),(23,1),(25,1),(166,1)}
        43:{2,4,7}:{(22,1),(23,1),(26,1),(64,1)}
        44:{3,4,6,7}:{(23,1),(27,1),(33,1),(67,1),(68,1),(69,1),(74,1),(120,1),(125,1),(163,1),(166,1)}
        45:{2,3,5,6}:{(24,1),(34,1),(65,1),(70,1),(71,1),(85,1),(118,1),(131,1),(133,1),(164,1),(168,1)}
        46:{1,2,5,7}:{(24,1),(25,1),(26,1),(66,1),(71,1),(72,1),(159,1)}
        47:{1,3,6,7}:{(25,1),(27,1),(36,1),(67,1),(72,1),(120,1),(194,1)}
        48:{2,6,7}:{(26,1),(27,1)}
        49:{3,5,6,7}:{(27,1),(28,1),(69,1),(73,1),(74,1),(125,1)}
        50:{1,2,5}:{(29,1),(38,1),(63,1),(75,1)}
        51:{2,3,5,7}:{(29,1),(32,1),(39,1),(64,1),(76,1),(77,1),(79,1),(88,1),(208,1)}
        52:{3,5}:{(30,1),(65,1),(78,1)}
        53:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(66,1),(76,1),(79,1),(80,1),(84,1),(121,1),(123,1),(126,1),(133,1),(135,1),(159,1),(162,1),(166,1),(169,1),(173,1),(192,1),(208,1)}
        54:{1,4,6}:{(31,1),(33,1),(36,1),(81,1)}
        55:{2,4,6}:{(32,1),(33,1),(77,1),(82,1)}
        56:{3,5,6}:{(33,1),(69,1),(81,1),(82,1),(83,1)}
        57:{2,4}:{(34,1),(78,1)}
        58:{2,3,5,7}:{(34,1),(35,1),(37,1),(79,1),(84,1),(85,1),(133,1),(176,1),(195,1),(208,1)}
        59:{1,2,6}:{(35,1),(36,1),(85,1)}
        60:{1,3}:{(38,1)}
        61:{1,2,4,7}:{(38,1),(39,1),(76,1),(86,1),(87,1),(126,1)}
        62:{2,3,4,6}:{(39,1),(77,1),(87,1),(88,1),(129,1),(130,1),(171,1),(174,1),(198,1)}
        63:{1,2,6}:{(40,1),(50,1),(89,1),(90,1)}
        64:{2,3,7}:{(40,1),(43,1),(90,1),(93,1)}
        65:{3,6}:{(41,1),(52,1),(93,1)}
        66:{1,2,4,7}:{(41,1),(42,1),(43,1),(46,1),(90,1),(93,1),(99,1),(138,1)}
        67:{1,4,6,7}:{(42,1),(44,1),(47,1),(54,1),(95,1),(148,1),(181,1)}
        68:{2,4,6,7}:{(43,1),(44,1),(48,1),(55,1),(91,1),(96,1),(141,1)}
        69:{3,5,7}:{(44,1),(56,1),(95,1),(96,1),(97,1)}
        70:{2,4,6}:{(45,1),(57,1),(92,1),(98,1),(99,1),(154,1)}
        71:{2,3,5,7}:{(45,1),(46,1),(93,1),(99,1),(100,1),(142,1),(144,1),(147,1)}
        72:{1,2,6,7}:{(46,1),(47,1),(48,1),(59,1),(100,1),(177,1),(204,1)}
        73:{2,5,6,7}:{(48,1),(49,1),(96,1),(101,1)}
        74:{4,6,7}:{(49,1),(97,1)}
        75:{1,3,5}:{(50,1),(52,1),(60,1),(89,1),(102,1),(137,1)}
        76:{1,2,5,7}:{(50,1),(51,1),(61,1),(90,1),(103,1),(104,1),(112,1)}
        77:{2,3,6}:{(51,1),(55,1),(104,1),(107,1),(209,1)}
        78:{3,4}:{(52,1),(57,1),(102,1)}
        79:{3,5,7}:{(52,1),(53,1),(93,1),(106,1),(107,1),(153,1),(157,1),(180,1)}
        80:{1,2,4,6}:{(53,1),(54,1),(55,1),(59,1),(104,1),(107,1),(108,1),(110,1),(146,1),(149,1),(154,1),(177,1),(201,1),(209,1)}
        81:{1,5,6}:{(54,1),(56,1),(95,1)}
        82:{2,5,6}:{(55,1),(56,1),(96,1)}
        83:{4,5,6}:{(56,1),(97,1),(154,1)}
        84:{2,4,7}:{(57,1),(58,1),(106,1),(110,1),(189,1)}
        85:{2,3,6}:{(58,1),(59,1),(107,1),(110,1),(209,1)}
        86:{1,3,7}:{(60,1),(61,1),(111,1),(180,1)}
        87:{1,2,4,6}:{(61,1),(62,1),(104,1),(111,1),(112,1),(149,1),(156,1)}
        88:{2,3,5}:{(62,1),(112,1),(113,1),(153,1),(157,1),(205,1)}
        89:{1,3,6}:{(63,1),(65,1),(75,1),(114,1),(115,1)}
        90:{1,2,7}:{(63,1),(64,1),(115,1)}
        91:{2,3,6,7}:{(64,1),(68,1),(77,1),(116,1),(117,1),(120,1),(125,1)}
        92:{3,4,6}:{(65,1),(70,1),(78,1),(114,1),(118,1),(119,1),(164,1)}
        93:{3,7}:{(65,1),(66,1)}
        94:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(72,1),(80,1),(116,1),(120,1),(121,1),(124,1),(160,1),(162,1),(166,1)}
        95:{1,5,7}:{(67,1),(69,1),(81,1)}
        96:{2,5,7}:{(68,1),(69,1),(82,1)}
        97:{4,5,7}:{(69,1),(74,1),(83,1),(166,1)}
        98:{2,4,5}:{(70,1),(118,1),(133,1),(173,1)}
        99:{2,4,7}:{(70,1),(71,1),(119,1),(166,1)}
       100:{2,3,6,7}:{(71,1),(72,1),(85,1),(120,1),(124,1),(164,1),(195,1)}
       101:{2,4,6,7}:{(73,1),(74,1),(122,1),(125,1)}
       102:{1,4}:{(75,1),(78,1)}
       103:{1,3,5,7}:{(75,1),(76,1),(79,1),(86,1),(115,1),(126,1),(127,1),(134,1),(159,1),(169,1)}
       104:{1,2,6}:{(76,1),(77,1),(127,1)}
       105:{2,3,5,6}:{(77,1),(82,1),(88,1),(117,1),(128,1),(129,1),(131,1),(132,1),(171,1)}
       106:{3,4,7}:{(78,1),(79,1),(84,1),(126,1),(130,1),(166,1),(174,1)}
       107:{3,6}:{(79,1),(80,1)}
       108:{1,2,5,6}:{(80,1),(81,1),(82,1),(121,1),(131,1),(133,1),(168,1),(169,1),(191,1)}
       109:{2,4,5,6}:{(82,1),(83,1),(122,1),(129,1),(132,1)}
       110:{2,4,6}:{(84,1),(85,1),(130,1),(133,1)}
       111:{1,3,6}:{(86,1),(87,1),(134,1),(171,1)}
       112:{1,2,5}:{(87,1),(88,1),(134,1),(169,1)}
       113:{2,4,5}:{(88,1),(129,1),(136,1),(173,1)}
       114:{1,4,6}:{(89,1),(92,1),(102,1),(137,1),(138,1),(177,1)}
       115:{1,3,7}:{(89,1),(90,1),(93,1),(138,1)}
       116:{1,2,6,7}:{(90,1),(91,1),(104,1),(139,1),(140,1),(148,1),(209,1)}
       117:{2,3,5,7}:{(91,1),(96,1),(105,1),(140,1),(141,1),(144,1),(145,1),(180,1)}
       118:{3,5}:{(92,1),(98,1),(137,1)}
       119:{3,4,7}:{(92,1),(93,1),(99,1),(138,1),(142,1)}
       120:{3,6,7}:{(93,1),(94,1),(107,1),(144,1),(180,1)}
       121:{1,2,5,7}:{(94,1),(95,1),(96,1),(108,1),(144,1),(147,1),(178,1)}
       122:{2,4,5,7}:{(96,1),(97,1),(101,1),(109,1),(141,1),(145,1)}
       123:{2,4,5,7}:{(98,1),(99,1),(142,1),(146,1),(147,1),(183,1)}
       124:{2,4,6,7}:{(99,1),(100,1),(110,1),(143,1),(146,1),(147,1),(203,1),(209,1)}
       125:{3,6,7}:{(101,1),(145,1),(148,1)}
       126:{1,4,7}:{(102,1),(103,1),(106,1),(149,1),(156,1)}
       127:{1,3,6}:{(103,1),(104,1),(107,1),(149,1),(177,1)}
       128:{1,2,5,6}:{(104,1),(105,1),(112,1),(140,1),(150,1),(151,1),(155,1),(205,1),(209,1)}
       129:{2,4,6}:{(105,1),(113,1),(141,1),(152,1),(154,1)}
       130:{3,4,6}:{(106,1),(107,1),(110,1),(149,1),(153,1),(154,1)}
       131:{3,5,6}:{(107,1),(108,1),(144,1),(153,1),(154,1)}
       132:{3,5,6}:{(109,1),(145,1),(152,1),(155,1)}
       133:{2,5}:{(110,1),(153,1)}
       134:{1,3,5}:{(111,1),(112,1),(156,1),(157,1)}
       135:{1,2,4,5}:{(112,1),(113,1),(151,1),(156,1),(157,1),(158,1),(184,1),(189,1),(190,1),(205,1)}
       136:{3,4,5}:{(113,1),(152,1),(157,1),(158,1)}
       137:{1,5}:{(114,1),(118,1)}
       138:{1,4,7}:{(114,1),(115,1),(119,1),(159,1)}
       139:{1,3,6,7}:{(115,1),(116,1),(120,1),(127,1),(160,1),(161,1),(207,1)}
       140:{1,2,5,7}:{(116,1),(117,1),(128,1),(161,1),(162,1),(167,1),(208,1)}
       141:{2,4,7}:{(117,1),(129,1),(163,1),(166,1)}
       142:{3,5,7}:{(118,1),(119,1),(123,1),(159,1),(164,1)}
       143:{3,4,6,7}:{(119,1),(120,1),(124,1),(130,1),(160,1),(164,1),(165,1),(166,1),(193,1),(196,1),(207,1)}
       144:{3,5,7}:{(120,1),(121,1),(131,1),(166,1)}
       145:{3,5,7}:{(122,1),(125,1),(132,1),(163,1),(167,1)}
       146:{2,4,6}:{(123,1),(164,1),(168,1),(196,1)}
       147:{2,5,7}:{(124,1),(133,1),(165,1),(168,1)}
       148:{1,6,7}:{(125,1),(167,1)}
       149:{1,4,6}:{(126,1),(127,1),(130,1),(169,1)}
       150:{1,3,5,6}:{(127,1),(128,1),(131,1),(134,1),(161,1),(169,1),(170,1),(171,1),(191,1),(197,1),(207,1)}
       151:{1,2,4,6}:{(128,1),(129,1),(135,1),(162,1),(170,1),(171,1),(172,1),(198,1),(199,1)}
       152:{3,4,6}:{(129,1),(132,1),(136,1),(163,1),(171,1),(172,1)}
       153:{3,5}:{(130,1),(133,1),(169,1),(173,1)}
       154:{4,6}:{(131,1),(166,1),(173,1)}
       155:{1,5,6}:{(132,1),(167,1),(172,1)}
       156:{1,4}:{(134,1),(174,1)}
       157:{3,5}:{(135,1),(171,1),(174,1)}
       158:{1,4,5}:{(136,1),(172,1),(175,1)}
       159:{1,5,7}:{(137,1),(138,1),(142,1),(177,1)}
       160:{1,4,6,7}:{(138,1),(139,1),(143,1),(149,1),(177,1),(178,1),(179,1),(201,1)}
       161:{1,3,5,7}:{(139,1),(140,1),(144,1),(150,1),(178,1),(179,1),(180,1),(202,1)}
       162:{1,2,4,7}:{(140,1),(141,1),(151,1),(179,1),(180,1),(181,1),(203,1),(204,1)}
       163:{3,4,7}:{(141,1),(145,1),(152,1),(180,1),(181,1)}
       164:{3,6}:{(142,1),(146,1),(177,1)}
       165:{3,5,7}:{(143,1),(147,1),(153,1),(178,1),(182,1),(183,1)}
       166:{4,7}:{(144,1),(154,1)}
       167:{1,5,7}:{(145,1),(148,1),(155,1),(181,1)}
       168:{2,5,6}:{(146,1),(147,1),(182,1),(209,1)}
       169:{1,5}:{(149,1),(153,1)}
       170:{1,4,6}:{(150,1),(154,1),(156,1),(179,1),(184,1),(185,1)}
       171:{3,6}:{(151,1),(157,1),(180,1)}
       172:{1,4,6}:{(152,1),(155,1),(158,1),(181,1),(186,1)}
       173:{4,5}:{(153,1),(154,1)}
       174:{3,4}:{(156,1),(157,1),(189,1)}
       175:{1,3,5}:{(157,1),(158,1),(186,1),(188,1),(190,1)}
       176:{2,3,5}:{(157,1),(187,1),(189,1),(190,1),(205,1),(206,1)}
       177:{1,6}:{(159,1),(164,1)}
       178:{1,5,7}:{(160,1),(165,1),(169,1),(191,1)}
       179:{1,4,7}:{(161,1),(166,1),(170,1),(193,1)}
       180:{3,7}:{(162,1),(171,1)}
       181:{1,4,7}:{(163,1),(167,1),(172,1),(194,1)}
       182:{3,5,6}:{(164,1),(165,1),(168,1),(191,1),(196,1),(207,1)}
       183:{4,5,7}:{(165,1),(166,1),(173,1),(196,1)}
       184:{1,4,5}:{(169,1),(170,1),(173,1),(197,1)}
       185:{3,4,6}:{(170,1),(171,1),(174,1),(193,1),(197,1),(198,1),(207,1)}
       186:{1,3,6}:{(171,1),(172,1),(175,1),(194,1),(199,1)}
       187:{2,3,6}:{(171,1),(176,1),(195,1),(198,1),(199,1)}
       188:{1,3,4}:{(174,1),(175,1),(200,1)}
       189:{2,4}:{(174,1),(176,1)}
       190:{1,2,5}:{(175,1),(176,1),(199,1),(200,1)}
       191:{1,5,6}:{(177,1),(178,1),(182,1),(201,1)}
       192:{1,4,5,7}:{(178,1),(179,1),(183,1),(184,1),(201,1),(202,1)}
       193:{3,4,7}:{(179,1),(180,1),(185,1),(202,1),(203,1)}
       194:{1,3,7}:{(180,1),(181,1),(186,1),(204,1)}
       195:{2,3,7}:{(180,1),(187,1),(203,1),(204,1)}
       196:{4,6}:{(182,1),(183,1)}
       197:{3,5}:{(184,1),(185,1),(205,1)}
       198:{2,4,6}:{(185,1),(187,1),(189,1),(203,1),(205,1),(209,1)}
       199:{1,2,6}:{(186,1),(187,1),(190,1),(204,1)}
       200:{1,2,4}:{(188,1),(189,1),(190,1),(206,1)}
       201:{1,4,6}:{(191,1),(192,1),(196,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(197,1),(207,1),(208,1)}
       203:{2,4,7}:{(193,1),(195,1),(198,1),(208,1)}
       204:{1,2,7}:{(194,1),(195,1),(199,1)}
       205:{2,5}:{(197,1),(198,1)}
       206:{2,3}:{(200,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{2,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

1034 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(57,1),(114,1)}
         1:{1,3,4,6}:{(2,1),(5,1),(6,1),(21,1),(24,1),(28,1),(57,1),(67,1)}
         2:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(38,1)}
         3:{1,2,3,5}:{(0,1),(8,1),(10,1),(36,1),(89,1),(94,1)}
         4:{1,2,3,7}:{(0,1),(9,1),(87,1),(142,1),(230,1)}
         5:{1,3,5}:{(1,1),(8,1),(13,1),(36,1),(98,1)}
         6:{1,3,4,7}:{(1,1),(9,1),(14,1),(41,1),(44,1),(87,1),(219,1)}
         7:{2,3,4,6}:{(2,1),(16,1),(17,1),(21,1),(52,1),(56,1),(57,1),(67,1)}
         8:{1,2,5}:{(2,1),(5,1),(16,1)}
         9:{1,2,4,7}:{(2,1),(4,1),(6,1),(17,1),(20,1),(227,1)}
        10:{1,2,4}:{(3,1),(21,1)}
        11:{1,2,3,5,7}:{(3,1),(4,1),(20,1),(22,1),(23,1),(62,1),(68,1),(119,1),(123,1),(172,1)}
        12:{1,3,5,6}:{(5,1),(18,1),(24,1),(25,1),(28,1),(29,1),(57,1),(74,1),(122,1)}
        13:{1,4,5}:{(5,1),(24,1),(26,1),(127,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(20,1),(27,1),(28,1),(62,1),(208,1),(224,1)}
        15:{1,4,5,6}:{(24,1),(29,1),(30,1),(74,1),(131,1)}
        16:{2,3,5}:{(7,1),(8,1),(32,1),(36,1),(98,1)}
        17:{2,3,4,7}:{(7,1),(9,1),(33,1),(41,1),(80,1),(87,1),(220,1)}
        18:{1,2,5,6}:{(8,1),(12,1),(31,1),(34,1),(35,1),(38,1),(49,1),(134,1)}
        19:{1,2,4,5}:{(8,1),(10,1),(13,1),(32,1),(34,1),(36,1),(46,1),(82,1),(89,1)}
        20:{1,2,5,7}:{(8,1),(9,1),(14,1),(33,1),(38,1),(221,1),(229,1)}
        21:{3,4}:{(10,1),(36,1)}
        22:{1,2,4,7}:{(10,1),(11,1),(41,1),(42,1),(190,1)}
        23:{1,2,3,6}:{(11,1),(38,1),(42,1),(92,1),(146,1)}
        24:{1,4,6}:{(12,1),(13,1),(43,1),(44,1),(149,1)}
        25:{1,3,5,7}:{(12,1),(35,1),(44,1),(45,1),(50,1),(87,1),(101,1),(145,1)}
        26:{3,4,5}:{(13,1),(36,1),(43,1),(46,1)}
        27:{1,4,5,7}:{(13,1),(14,1),(44,1),(47,1),(48,1),(101,1),(193,1),(216,1)}
        28:{1,3,6}:{(14,1),(38,1),(48,1),(92,1)}
        29:{3,5,6}:{(15,1),(43,1),(49,1),(50,1)}
        30:{1,4,5,7}:{(15,1),(44,1),(50,1),(51,1),(101,1),(155,1)}
        31:{2,3,5,6}:{(16,1),(18,1),(52,1),(53,1),(56,1),(57,1),(106,1),(113,1),(122,1)}
        32:{2,4,5}:{(16,1),(52,1),(54,1),(127,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(20,1),(55,1),(56,1),(62,1),(209,1),(225,1)}
        34:{1,2,4,6}:{(18,1),(19,1),(24,1),(52,1),(57,1),(58,1),(69,1),(108,1),(114,1)}
        35:{1,2,5,7}:{(18,1),(25,1),(53,1),(58,1),(59,1),(75,1),(158,1)}
        36:{3,5}:{(19,1),(21,1),(57,1)}
        37:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(27,1),(55,1),(58,1),(62,1),(63,1),(68,1),(72,1),(111,1),(118,1),(119,1),(127,1),(168,1),(173,1),(201,1)}
        38:{1,2,6}:{(20,1),(28,1),(56,1)}
        39:{1,3,4}:{(21,1),(60,1),(64,1)}
        40:{2,3,4}:{(21,1),(61,1),(64,1)}
        41:{3,4,7}:{(21,1),(22,1),(62,1),(67,1),(168,1),(207,1)}
        42:{1,2,4,6}:{(22,1),(23,1),(67,1),(68,1)}
        43:{3,4,6}:{(24,1),(26,1),(29,1),(57,1),(69,1),(70,1)}
        44:{1,4,7}:{(24,1),(25,1),(70,1),(168,1)}
        45:{1,3,6,7}:{(25,1),(28,1),(59,1),(71,1),(76,1),(117,1),(224,1)}
        46:{2,4,5}:{(26,1),(61,1),(69,1)}
        47:{3,4,5,7}:{(26,1),(27,1),(62,1),(70,1),(72,1),(73,1),(127,1),(129,1),(168,1),(175,1),(203,1)}
        48:{1,4,6}:{(27,1),(28,1),(73,1),(74,1)}
        49:{2,5,6}:{(29,1),(69,1),(75,1)}
        50:{3,5,7}:{(29,1),(30,1),(70,1),(75,1),(76,1)}
        51:{1,4,6,7}:{(30,1),(76,1),(77,1),(133,1)}
        52:{2,4,6}:{(31,1),(32,1),(79,1),(80,1),(149,1)}
        53:{2,3,5,7}:{(31,1),(35,1),(80,1),(81,1),(87,1),(135,1),(139,1),(145,1)}
        54:{3,4,5}:{(32,1),(36,1),(79,1),(82,1)}
        55:{2,4,5,7}:{(32,1),(33,1),(80,1),(83,1),(84,1),(139,1),(192,1),(215,1)}
        56:{2,3,6}:{(33,1),(38,1),(84,1),(92,1)}
        57:{3,6}:{(34,1),(36,1),(87,1)}
        58:{1,2,4,7}:{(34,1),(35,1),(44,1),(80,1),(87,1),(99,1),(137,1),(142,1)}
        59:{1,2,6,7}:{(35,1),(38,1),(45,1),(81,1),(104,1),(179,1),(229,1)}
        60:{1,3,5}:{(36,1),(39,1),(82,1),(85,1),(89,1)}
        61:{2,3,5}:{(36,1),(40,1),(46,1),(86,1),(89,1)}
        62:{3,5,7}:{(36,1),(37,1),(41,1),(87,1),(92,1),(98,1),(191,1),(214,1)}
        63:{1,2,4,6}:{(37,1),(38,1),(48,1),(84,1),(92,1),(93,1),(102,1),(140,1),(146,1),(149,1)}
        64:{1,2,4}:{(39,1),(40,1),(89,1),(94,1)}
        65:{1,3,4,7}:{(39,1),(41,1),(90,1),(95,1),(96,1),(185,1),(214,1)}
        66:{2,3,4,7}:{(40,1),(41,1),(91,1),(95,1),(97,1),(186,1),(214,1)}
        67:{3,4,6}:{(41,1),(42,1),(92,1),(98,1),(149,1)}
        68:{1,2,5}:{(42,1),(98,1)}
        69:{2,4,6}:{(43,1),(46,1),(49,1),(86,1),(99,1)}
        70:{3,4,7}:{(43,1),(44,1),(50,1),(87,1),(99,1)}
        71:{1,4,6,7}:{(44,1),(45,1),(48,1),(100,1),(101,1),(196,1),(216,1)}
        72:{2,4,5,7}:{(46,1),(47,1),(91,1),(99,1),(102,1),(153,1),(154,1),(186,1)}
        73:{3,4,6}:{(47,1),(48,1),(92,1),(102,1),(103,1),(149,1)}
        74:{1,5,6}:{(48,1),(101,1),(103,1)}
        75:{2,5,7}:{(49,1),(50,1),(99,1),(104,1)}
        76:{3,6,7}:{(50,1),(51,1),(104,1)}
        77:{1,5,6,7}:{(51,1),(101,1),(105,1),(196,1)}
        78:{2,4,5,6}:{(52,1),(106,1),(107,1),(113,1),(164,1)}
        79:{3,4,6}:{(52,1),(54,1),(57,1),(106,1),(108,1),(109,1)}
        80:{2,4,7}:{(52,1),(53,1),(109,1),(168,1)}
        81:{2,3,6,7}:{(53,1),(56,1),(59,1),(110,1),(117,1),(159,1),(225,1)}
        82:{1,4,5}:{(54,1),(60,1),(108,1)}
        83:{3,4,5,7}:{(54,1),(55,1),(62,1),(109,1),(111,1),(112,1),(127,1),(162,1),(168,1),(174,1),(202,1)}
        84:{2,4,6}:{(55,1),(56,1),(112,1),(113,1)}
        85:{1,3,6}:{(57,1),(60,1),(108,1),(114,1),(115,1)}
        86:{2,3,6}:{(57,1),(61,1),(69,1),(114,1),(116,1)}
        87:{3,7}:{(57,1),(58,1)}
        88:{1,2,4,6,7}:{(58,1),(59,1),(63,1),(71,1),(110,1),(117,1),(118,1),(128,1),(161,1),(165,1),(168,1),(201,1)}
        89:{1,2,5}:{(60,1),(61,1),(64,1),(114,1)}
        90:{1,3,5,7}:{(60,1),(62,1),(65,1),(111,1),(115,1),(119,1),(120,1),(125,1)}
        91:{2,3,5,7}:{(61,1),(62,1),(66,1),(72,1),(116,1),(119,1),(121,1),(126,1)}
        92:{3,6}:{(62,1),(63,1)}
        93:{1,2,5,6}:{(63,1),(68,1),(74,1),(113,1),(118,1),(122,1),(130,1),(163,1)}
        94:{1,2,3}:{(64,1)}
        95:{1,2,4,7}:{(64,1),(65,1),(66,1),(119,1),(123,1),(124,1)}
        96:{1,3,4,6}:{(65,1),(67,1),(120,1),(124,1),(125,1),(170,1),(204,1),(207,1)}
        97:{2,3,4,6}:{(66,1),(67,1),(121,1),(124,1),(126,1),(171,1),(204,1),(207,1)}
        98:{3,5}:{(67,1),(68,1),(127,1)}
        99:{2,4,7}:{(69,1),(70,1),(75,1),(116,1)}
       100:{3,4,6,7}:{(70,1),(71,1),(73,1),(76,1),(117,1),(128,1),(129,1),(133,1),(168,1),(178,1),(203,1)}
       101:{1,5,7}:{(71,1),(74,1),(129,1)}
       102:{2,4,6}:{(72,1),(73,1),(121,1),(130,1)}
       103:{3,5,6}:{(73,1),(74,1),(129,1),(130,1),(131,1)}
       104:{2,6,7}:{(75,1),(76,1)}
       105:{3,5,6,7}:{(76,1),(77,1),(129,1),(132,1),(133,1),(178,1)}
       106:{3,5,6}:{(78,1),(79,1),(134,1),(135,1)}
       107:{2,4,5,7}:{(78,1),(80,1),(135,1),(136,1),(139,1),(182,1)}
       108:{1,4,6}:{(79,1),(82,1),(85,1),(134,1),(137,1)}
       109:{3,4,7}:{(79,1),(80,1),(87,1),(135,1),(137,1)}
       110:{2,4,6,7}:{(80,1),(81,1),(84,1),(138,1),(139,1),(215,1),(228,1)}
       111:{1,4,5,7}:{(82,1),(83,1),(90,1),(137,1),(140,1),(152,1),(181,1),(185,1)}
       112:{3,4,6}:{(83,1),(84,1),(92,1),(140,1),(141,1),(149,1)}
       113:{2,5,6}:{(84,1),(139,1),(141,1)}
       114:{1,2,6}:{(85,1),(86,1),(89,1),(142,1)}
       115:{1,3,7}:{(85,1),(87,1),(137,1),(142,1)}
       116:{2,3,7}:{(86,1),(87,1),(99,1),(142,1)}
       117:{3,6,7}:{(87,1),(88,1),(92,1),(145,1),(214,1)}
       118:{1,2,5,7}:{(88,1),(93,1),(101,1),(139,1),(145,1),(154,1),(181,1)}
       119:{1,2,5,7}:{(89,1),(90,1),(91,1),(95,1),(142,1),(146,1),(151,1)}
       120:{1,3,6}:{(90,1),(92,1),(140,1),(146,1)}
       121:{2,3,6}:{(91,1),(92,1),(102,1),(146,1)}
       122:{3,5,6}:{(92,1),(93,1),(98,1),(145,1),(149,1)}
       123:{1,2,3,7}:{(94,1),(95,1),(150,1),(214,1),(229,1)}
       124:{1,2,4,6}:{(95,1),(96,1),(97,1),(146,1),(150,1),(151,1),(190,1)}
       125:{1,3,5}:{(96,1),(98,1),(151,1),(152,1),(191,1)}
       126:{2,3,5}:{(97,1),(98,1),(151,1),(153,1),(191,1)}
       127:{4,5}:{(98,1),(149,1)}
       128:{2,4,6,7}:{(99,1),(100,1),(102,1),(104,1),(144,1),(154,1),(186,1)}
       129:{3,5,7}:{(100,1),(101,1),(103,1),(154,1),(155,1)}
       130:{2,5,6}:{(102,1),(103,1),(154,1)}
       131:{4,5,6}:{(103,1),(149,1),(155,1)}
       132:{2,5,6,7}:{(104,1),(105,1),(154,1),(157,1)}
       133:{4,6,7}:{(105,1),(155,1)}
       134:{1,5,6}:{(106,1),(108,1),(158,1)}
       135:{3,5,7}:{(106,1),(107,1),(109,1),(158,1),(159,1)}
       136:{2,4,6,7}:{(107,1),(159,1),(160,1),(198,1)}
       137:{1,4,7}:{(108,1),(109,1),(115,1),(158,1)}
       138:{3,4,6,7}:{(109,1),(110,1),(112,1),(117,1),(159,1),(161,1),(162,1),(168,1),(198,1),(202,1),(222,1)}
       139:{2,5,7}:{(110,1),(113,1),(162,1)}
       140:{1,4,6}:{(111,1),(112,1),(120,1),(163,1)}
       141:{3,5,6}:{(112,1),(113,1),(162,1),(163,1),(164,1)}
       142:{1,2,7}:{(114,1),(115,1),(116,1)}
       143:{1,3,6,7}:{(115,1),(117,1),(120,1),(161,1),(165,1),(166,1),(222,1)}
       144:{2,3,6,7}:{(116,1),(117,1),(121,1),(128,1),(165,1),(167,1),(178,1)}
       145:{3,5,7}:{(117,1),(118,1),(122,1),(168,1)}
       146:{1,2,6}:{(119,1),(120,1),(121,1)}
       147:{1,3,5,6}:{(120,1),(122,1),(125,1),(163,1),(166,1),(169,1),(170,1),(200,1),(204,1)}
       148:{2,3,5,6}:{(121,1),(122,1),(126,1),(130,1),(167,1),(169,1),(171,1),(177,1),(204,1)}
       149:{4,6}:{(122,1),(127,1),(168,1)}
       150:{1,2,3,6}:{(123,1),(124,1),(172,1),(204,1),(226,1)}
       151:{1,2,5}:{(124,1),(125,1),(126,1)}
       152:{1,4,5}:{(125,1),(127,1),(170,1),(174,1)}
       153:{2,4,5}:{(126,1),(127,1),(171,1),(175,1)}
       154:{2,5,7}:{(128,1),(129,1),(130,1)}
       155:{4,5,7}:{(129,1),(131,1),(133,1),(168,1)}
       156:{2,4,5,6}:{(130,1),(131,1),(171,1),(176,1),(177,1)}
       157:{2,4,6,7}:{(132,1),(133,1),(176,1),(178,1)}
       158:{1,5,7}:{(134,1),(135,1),(137,1),(179,1)}
       159:{3,6,7}:{(135,1),(136,1),(179,1)}
       160:{2,5,6,7}:{(136,1),(139,1),(180,1),(228,1)}
       161:{1,4,6,7}:{(137,1),(138,1),(140,1),(143,1),(179,1),(181,1),(185,1)}
       162:{3,5,7}:{(138,1),(139,1),(141,1),(181,1),(182,1)}
       163:{1,5,6}:{(140,1),(141,1),(181,1)}
       164:{4,5,6}:{(141,1),(149,1),(182,1)}
       165:{1,2,6,7}:{(142,1),(143,1),(144,1),(146,1),(184,1),(196,1),(228,1)}
       166:{1,3,5,7}:{(143,1),(145,1),(147,1),(181,1),(184,1),(185,1),(212,1),(214,1)}
       167:{2,3,5,7}:{(144,1),(145,1),(148,1),(154,1),(184,1),(186,1),(194,1),(214,1)}
       168:{4,7}:{(145,1),(149,1)}
       169:{1,2,5,6}:{(146,1),(147,1),(148,1),(151,1),(184,1),(187,1),(195,1),(213,1)}
       170:{1,4,6}:{(147,1),(149,1),(152,1),(185,1),(188,1)}
       171:{2,4,6}:{(148,1),(149,1),(153,1),(186,1),(189,1)}
       172:{1,2,3,5}:{(150,1),(151,1),(190,1),(191,1),(221,1),(230,1)}
       173:{1,2,4,5}:{(151,1),(152,1),(153,1),(187,1),(190,1),(191,1),(192,1),(193,1),(221,1)}
       174:{3,4,5}:{(152,1),(188,1),(191,1),(192,1)}
       175:{3,4,5}:{(153,1),(189,1),(191,1),(193,1)}
       176:{2,4,5,7}:{(154,1),(155,1),(156,1),(157,1),(186,1),(194,1)}
       177:{3,5,6}:{(156,1),(189,1),(194,1),(195,1)}
       178:{3,6,7}:{(157,1),(194,1),(196,1)}
       179:{1,6,7}:{(158,1),(159,1)}
       180:{3,5,6,7}:{(159,1),(160,1),(162,1),(197,1),(198,1),(222,1)}
       181:{1,5,7}:{(161,1),(162,1),(163,1)}
       182:{4,5,7}:{(162,1),(164,1),(168,1),(198,1)}
       183:{1,4,5,6}:{(163,1),(164,1),(170,1),(199,1),(200,1)}
       184:{1,2,5,7}:{(165,1),(166,1),(167,1),(169,1),(201,1),(210,1),(223,1)}
       185:{1,4,7}:{(166,1),(168,1),(170,1),(202,1)}
       186:{2,4,7}:{(167,1),(168,1),(171,1),(203,1)}
       187:{1,2,4,6}:{(169,1),(170,1),(171,1),(173,1),(201,1),(204,1),(205,1),(206,1),(226,1)}
       188:{3,4,6}:{(170,1),(174,1),(200,1),(202,1),(204,1),(205,1)}
       189:{3,4,6}:{(171,1),(175,1),(177,1),(203,1),(204,1),(206,1)}
       190:{1,2,4}:{(172,1),(207,1)}
       191:{3,5}:{(173,1),(204,1),(207,1)}
       192:{2,4,5}:{(174,1),(205,1),(209,1)}
       193:{1,4,5}:{(175,1),(206,1),(208,1)}
       194:{3,5,7}:{(176,1),(177,1),(178,1),(203,1),(210,1)}
       195:{1,5,6}:{(177,1),(206,1),(210,1)}
       196:{1,6,7}:{(178,1),(210,1)}
       197:{1,5,6,7}:{(179,1),(180,1),(181,1),(211,1)}
       198:{4,6,7}:{(180,1),(182,1)}
       199:{1,4,5,7}:{(181,1),(182,1),(183,1),(185,1),(211,1),(212,1)}
       200:{3,5,6}:{(183,1),(188,1),(212,1),(213,1)}
       201:{1,2,4,7}:{(184,1),(185,1),(186,1),(187,1),(214,1),(215,1),(216,1),(229,1)}
       202:{3,4,7}:{(185,1),(188,1),(212,1),(214,1),(215,1)}
       203:{3,4,7}:{(186,1),(189,1),(194,1),(214,1),(216,1)}
       204:{3,6}:{(187,1),(191,1),(214,1)}
       205:{2,4,6}:{(188,1),(192,1),(213,1),(215,1),(218,1)}
       206:{1,4,6}:{(189,1),(193,1),(195,1),(216,1),(217,1)}
       207:{3,4}:{(190,1),(191,1)}
       208:{1,3,5}:{(191,1),(193,1),(217,1),(219,1),(221,1)}
       209:{2,3,5}:{(191,1),(192,1),(218,1),(220,1),(221,1)}
       210:{1,5,7}:{(194,1),(195,1),(196,1),(216,1)}
       211:{1,4,6,7}:{(197,1),(198,1),(199,1),(222,1)}
       212:{3,5,7}:{(199,1),(200,1),(202,1),(222,1),(223,1)}
       213:{2,5,6}:{(200,1),(205,1),(223,1)}
       214:{3,7}:{(201,1),(204,1)}
       215:{2,4,7}:{(202,1),(205,1),(223,1),(225,1)}
       216:{1,4,7}:{(203,1),(206,1),(210,1),(224,1)}
       217:{1,3,6}:{(204,1),(206,1),(208,1),(224,1),(226,1)}
       218:{2,3,6}:{(204,1),(205,1),(209,1),(225,1),(226,1)}
       219:{1,3,4}:{(207,1),(208,1),(227,1)}
       220:{2,3,4}:{(207,1),(209,1),(227,1)}
       221:{1,2,5}:{(208,1),(209,1),(226,1),(227,1)}
       222:{3,6,7}:{(211,1),(212,1),(228,1)}
       223:{2,5,7}:{(212,1),(213,1),(215,1),(228,1)}
       224:{1,3,7}:{(214,1),(216,1),(217,1),(229,1)}
       225:{2,3,7}:{(214,1),(215,1),(218,1),(229,1)}
       226:{1,2,6}:{(217,1),(218,1),(221,1),(229,1)}
       227:{1,2,4}:{(219,1),(220,1),(221,1),(230,1)}
       228:{2,6,7}:{(222,1),(223,1)}
       229:{1,2,7}:{(224,1),(225,1),(226,1)}
       230:{1,2,3}:{(227,1)}

1035 :   0:{1,3,5,7}:{(4,1),(5,1),(6,1),(9,1),(27,1),(31,1),(61,1)}
         1:{2,3,5,7}:{(4,1),(7,1),(8,1),(25,1),(27,1),(34,1),(61,1)}
         2:{1,4,5,7}:{(5,1),(9,1),(10,1),(12,1),(31,1),(38,1),(63,1)}
         3:{1,4,6,7}:{(10,1),(11,1),(12,1),(38,1)}
         4:{1,2,5,7}:{(0,1),(1,1),(14,1),(15,1),(20,1),(40,1),(46,1)}
         5:{1,4,7}:{(0,1),(16,1),(17,1),(75,1),(79,1)}
         6:{1,3,6}:{(0,1),(15,1),(17,1),(21,1),(45,1),(102,1)}
         7:{2,4,7}:{(1,1),(18,1),(19,1),(75,1),(101,1)}
         8:{2,3,6}:{(1,1),(15,1),(19,1),(41,1),(45,1),(103,1)}
         9:{3,5,7}:{(2,1),(16,1),(20,1),(21,1),(48,1)}
        10:{1,4,6}:{(2,1),(21,1),(22,1),(52,1)}
        11:{3,6,7}:{(3,1),(21,1),(23,1),(24,1)}
        12:{1,5,7}:{(3,1),(22,1),(24,1),(79,1)}
        13:{2,4,5,7}:{(7,1),(25,1),(26,1),(34,1),(55,1),(65,1),(81,1)}
        14:{1,2,4,7}:{(4,1),(5,1),(7,1),(27,1),(28,1),(29,1),(32,1),(58,1)}
        15:{1,2,6}:{(4,1),(6,1),(8,1),(35,1),(56,1),(104,1)}
        16:{3,4,7}:{(5,1),(9,1),(27,1),(29,1),(30,1),(38,1),(67,1)}
        17:{1,4,6}:{(5,1),(6,1),(30,1),(31,1),(88,1),(100,1)}
        18:{3,4,7}:{(7,1),(25,1),(27,1),(32,1),(33,1),(81,1),(96,1)}
        19:{2,4,6}:{(7,1),(8,1),(33,1),(34,1),(97,1),(99,1)}
        20:{2,5,7}:{(9,1),(29,1),(35,1),(62,1)}
        21:{3,6}:{(9,1),(10,1),(35,1)}
        22:{1,5,6}:{(10,1),(12,1),(31,1),(36,1),(88,1)}
        23:{2,6,7}:{(11,1),(35,1),(37,1)}
        24:{3,5,7}:{(11,1),(12,1),(36,1),(37,1),(38,1),(67,1)}
        25:{3,5,7}:{(13,1),(18,1),(40,1),(41,1),(50,1)}
        26:{2,4,6}:{(13,1),(41,1),(42,1),(71,1)}
        27:{3,7}:{(14,1),(45,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(17,1),(19,1),(45,1),(46,1),(47,1),(49,1),(72,1),(75,1),(91,1)}
        29:{2,4,7}:{(16,1),(20,1),(44,1),(47,1)}
        30:{3,4,6}:{(16,1),(17,1),(21,1),(45,1),(47,1),(48,1),(52,1),(75,1),(78,1),(93,1)}
        31:{1,5}:{(17,1),(48,1)}
        32:{1,4,7}:{(18,1),(40,1),(43,1),(49,1)}
        33:{3,4,6}:{(18,1),(19,1),(41,1),(45,1),(49,1),(50,1),(71,1),(75,1),(90,1),(92,1)}
        34:{2,5}:{(19,1),(50,1)}
        35:{2,6}:{(20,1),(21,1)}
        36:{3,5,6}:{(21,1),(22,1),(24,1),(48,1),(51,1),(52,1),(78,1)}
        37:{2,5,7}:{(23,1),(24,1),(51,1),(53,1)}
        38:{4,7}:{(24,1),(52,1)}
        39:{2,4,6,7}:{(26,1),(54,1),(55,1),(81,1)}
        40:{1,5,7}:{(25,1),(32,1),(56,1),(64,1)}
        41:{3,6}:{(25,1),(26,1),(56,1)}
        42:{2,5,6}:{(26,1),(34,1),(55,1),(57,1),(97,1)}
        43:{1,3,7}:{(27,1),(32,1),(58,1),(59,1),(96,1)}
        44:{2,3,7}:{(27,1),(29,1),(58,1),(60,1),(67,1)}
        45:{3,6}:{(27,1),(28,1),(61,1),(98,1)}
        46:{1,2,5}:{(28,1),(31,1),(34,1),(61,1),(62,1),(64,1)}
        47:{2,4,6}:{(29,1),(30,1),(35,1),(60,1),(62,1),(85,1)}
        48:{3,5}:{(30,1),(31,1),(62,1),(63,1)}
        49:{1,4,6}:{(32,1),(33,1),(56,1),(59,1),(64,1),(84,1)}
        50:{3,5}:{(33,1),(34,1),(64,1),(65,1)}
        51:{2,5,6}:{(35,1),(36,1),(37,1),(62,1),(66,1)}
        52:{4,6}:{(36,1),(38,1),(63,1)}
        53:{2,4,7}:{(37,1),(38,1),(66,1),(67,1)}
        54:{3,6,7}:{(39,1),(41,1),(68,1),(69,1)}
        55:{2,5,7}:{(39,1),(42,1),(69,1),(101,1)}
        56:{1,6}:{(40,1),(41,1)}
        57:{3,5,6}:{(41,1),(42,1),(50,1),(69,1),(70,1),(71,1),(90,1)}
        58:{1,2,7}:{(43,1),(44,1),(72,1),(79,1),(101,1)}
        59:{1,3,6}:{(43,1),(45,1),(49,1),(72,1),(73,1),(90,1)}
        60:{2,3,6}:{(44,1),(45,1),(47,1),(72,1),(74,1),(78,1)}
        61:{3,5}:{(45,1),(46,1),(75,1)}
        62:{2,5}:{(47,1),(48,1)}
        63:{4,5}:{(48,1),(52,1),(75,1)}
        64:{1,5}:{(49,1),(50,1)}
        65:{4,5}:{(50,1),(71,1),(75,1)}
        66:{2,4,6}:{(51,1),(52,1),(53,1),(76,1),(78,1)}
        67:{3,7}:{(53,1),(78,1),(79,1)}
        68:{1,6,7}:{(54,1),(56,1),(80,1)}
        69:{3,5,7}:{(54,1),(55,1),(57,1),(80,1),(81,1),(96,1)}
        70:{1,5,6}:{(56,1),(57,1),(64,1),(80,1),(82,1)}
        71:{4,6}:{(57,1),(65,1),(81,1)}
        72:{1,2,6}:{(58,1),(59,1),(60,1),(83,1),(88,1),(97,1)}
        73:{1,3,5}:{(59,1),(61,1),(64,1),(83,1),(84,1),(87,1),(98,1)}
        74:{2,3,5}:{(60,1),(61,1),(62,1),(83,1),(85,1),(86,1),(98,1)}
        75:{4}:{(61,1)}
        76:{2,4,5}:{(62,1),(63,1),(66,1),(85,1),(86,1)}
        77:{1,4,5}:{(64,1),(65,1),(82,1),(84,1),(87,1)}
        78:{3,6}:{(66,1),(67,1),(86,1),(88,1)}
        79:{1,7}:{(67,1),(88,1)}
        80:{1,5,7}:{(68,1),(69,1),(70,1),(89,1)}
        81:{4,7}:{(69,1),(71,1)}
        82:{1,4,6}:{(70,1),(71,1),(77,1),(89,1),(90,1)}
        83:{1,2,5}:{(72,1),(73,1),(74,1),(91,1),(94,1),(95,1)}
        84:{1,4}:{(73,1),(75,1),(92,1)}
        85:{2,4}:{(74,1),(75,1),(93,1)}
        86:{3,5}:{(76,1),(78,1),(93,1),(94,1)}
        87:{3,5}:{(77,1),(90,1),(92,1),(95,1)}
        88:{1,6}:{(78,1),(79,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(82,1),(96,1)}
        90:{3,6}:{(82,1),(87,1),(96,1),(97,1)}
        91:{1,2,4}:{(83,1),(84,1),(85,1),(98,1),(99,1),(100,1),(104,1)}
        92:{3,4}:{(84,1),(87,1),(98,1),(99,1)}
        93:{3,4}:{(85,1),(86,1),(98,1),(100,1)}
        94:{1,5}:{(86,1),(88,1),(100,1)}
        95:{2,5}:{(87,1),(97,1),(99,1)}
        96:{3,7}:{(89,1),(90,1),(101,1)}
        97:{2,6}:{(90,1),(95,1),(101,1)}
        98:{3}:{(91,1)}
        99:{2,4}:{(92,1),(95,1),(103,1)}
       100:{1,4}:{(93,1),(94,1),(102,1)}
       101:{2,7}:{(96,1),(97,1)}
       102:{1,3}:{(98,1),(100,1),(104,1)}
       103:{2,3}:{(98,1),(99,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

1036 :   0:{2,3,4,6,7}:{(1,1),(2,1),(11,1),(18,1),(34,1),(36,1),(44,1),(67,1),(72,1),(95,1),(106,1)}
         1:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(21,1),(23,1),(30,1),(61,1),(90,1),(110,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(24,1),(27,1),(83,1),(109,1)}
         3:{2,3,5,6,7}:{(4,1),(8,1),(9,1),(27,1),(29,1),(56,1),(119,1)}
         4:{2,3,5,6}:{(2,1),(10,1),(11,1),(32,1),(34,1)}
         5:{1,3,6,7}:{(1,1),(12,1),(34,1),(106,1),(122,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(10,1),(12,1),(40,1),(121,1)}
         7:{2,4,5,7}:{(2,1),(11,1),(14,1),(72,1),(97,1)}
         8:{1,2,5,6,7}:{(3,1),(10,1),(16,1),(17,1),(40,1),(73,1),(76,1),(107,1)}
         9:{2,4,6,7}:{(3,1),(11,1),(15,1),(18,1),(72,1),(129,1)}
        10:{1,2,5,6}:{(4,1),(6,1),(20,1),(21,1),(46,1),(83,1)}
        11:{2,4,6}:{(4,1),(7,1),(22,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(24,1),(130,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(21,1),(23,1),(24,1),(25,1),(47,1),(52,1),(53,1),(83,1),(90,1),(111,1)}
        14:{3,4,5,7}:{(7,1),(22,1),(24,1),(25,1),(27,1),(54,1),(78,1)}
        15:{2,4,5,7}:{(9,1),(19,1),(27,1),(135,1)}
        16:{1,3,5,6,7}:{(8,1),(20,1),(28,1),(29,1),(55,1),(58,1),(91,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(21,1),(26,1),(28,1),(29,1),(30,1),(60,1),(61,1),(90,1),(117,1)}
        18:{3,4,6,7}:{(9,1),(22,1),(27,1),(29,1),(30,1),(54,1),(134,1)}
        19:{2,4,5,6}:{(11,1),(15,1),(32,1)}
        20:{1,3,5,6}:{(10,1),(12,1),(33,1),(34,1),(65,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(13,1),(33,1),(34,1),(35,1),(67,1),(68,1)}
        22:{3,4,6}:{(11,1),(14,1),(32,1),(34,1),(35,1)}
        23:{1,4,7}:{(12,1),(33,1),(36,1),(136,1)}
        24:{3,5,7}:{(13,1),(34,1),(36,1),(65,1),(106,1),(123,1)}
        25:{1,4,5,7}:{(14,1),(35,1),(37,1),(40,1),(71,1),(96,1)}
        26:{1,2,4,5,7}:{(15,1),(17,1),(31,1),(39,1),(40,1),(41,1),(71,1),(72,1),(73,1),(76,1)}
        27:{3,5,7}:{(15,1),(18,1),(32,1),(40,1),(138,1)}
        28:{1,4,6,7}:{(16,1),(33,1),(41,1),(42,1),(71,1),(103,1)}
        29:{3,6,7}:{(17,1),(34,1),(39,1),(106,1),(127,1)}
        30:{1,4,6,7}:{(18,1),(35,1),(40,1),(43,1),(71,1),(137,1)}
        31:{1,2,4,5,6}:{(19,1),(21,1),(26,1),(45,1),(46,1),(47,1),(57,1),(79,1),(80,1),(81,1),(83,1),(92,1),(111,1),(117,1),(135,1),(139,1)}
        32:{3,5,6}:{(19,1),(22,1),(27,1),(46,1)}
        33:{1,4,6}:{(20,1),(23,1),(47,1),(48,1)}
        34:{3,6}:{(21,1),(24,1)}
        35:{1,4,6}:{(22,1),(25,1),(46,1),(49,1)}
        36:{3,4,7}:{(23,1),(24,1),(48,1),(52,1),(131,1)}
        37:{1,3,5,7}:{(24,1),(25,1),(49,1),(51,1),(53,1),(82,1)}
        38:{2,3,5,7}:{(24,1),(50,1),(52,1),(53,1),(83,1),(85,1),(113,1)}
        39:{3,5,7}:{(26,1),(29,1),(45,1),(54,1)}
        40:{1,5,7}:{(27,1),(30,1),(46,1),(139,1)}
        41:{1,4,5,7}:{(28,1),(47,1),(57,1),(58,1)}
        42:{3,4,6,7}:{(28,1),(29,1),(48,1),(54,1),(58,1),(60,1),(87,1)}
        43:{1,3,6,7}:{(29,1),(30,1),(49,1),(55,1),(61,1),(132,1)}
        44:{2,3,6,7}:{(29,1),(50,1),(56,1),(60,1),(61,1),(114,1)}
        45:{3,5,6}:{(31,1),(34,1),(39,1),(62,1),(65,1),(123,1),(127,1),(138,1)}
        46:{1,5,6}:{(32,1),(35,1),(40,1)}
        47:{1,4,5}:{(33,1),(65,1)}
        48:{3,4,6}:{(33,1),(34,1),(36,1),(65,1),(67,1)}
        49:{1,3,6}:{(34,1),(35,1),(37,1),(68,1)}
        50:{2,3,6}:{(34,1),(38,1),(67,1),(68,1)}
        51:{1,3,4,7}:{(36,1),(37,1),(66,1),(69,1),(71,1),(106,1)}
        52:{2,4,7}:{(36,1),(38,1),(67,1),(124,1)}
        53:{1,2,5,7}:{(37,1),(38,1),(68,1),(69,1),(99,1)}
        54:{3,4,7}:{(39,1),(62,1),(71,1),(72,1),(106,1)}
        55:{1,3,5,7}:{(39,1),(40,1),(43,1),(63,1),(71,1),(73,1),(106,1)}
        56:{2,3,5,7}:{(39,1),(44,1),(64,1),(72,1),(73,1),(76,1),(106,1)}
        57:{1,4,5,6}:{(41,1),(74,1),(103,1)}
        58:{3,5,7}:{(41,1),(42,1),(65,1),(74,1),(76,1)}
        59:{1,3,4,6,7}:{(42,1),(43,1),(66,1),(71,1),(75,1),(77,1),(103,1),(106,1),(127,1),(128,1),(137,1)}
        60:{2,4,6,7}:{(42,1),(44,1),(67,1),(72,1),(76,1),(104,1)}
        61:{1,2,6,7}:{(43,1),(44,1),(68,1),(73,1),(125,1)}
        62:{3,4,6}:{(45,1),(54,1),(78,1),(79,1),(80,1),(112,1),(131,1)}
        63:{1,3,5,6}:{(45,1),(46,1),(49,1),(55,1),(79,1),(81,1),(82,1),(112,1),(130,1),(132,1),(139,1)}
        64:{2,3,5,6}:{(45,1),(50,1),(56,1),(80,1),(81,1),(83,1),(92,1),(109,1),(112,1),(113,1),(114,1)}
        65:{3,5}:{(47,1),(48,1),(83,1)}
        66:{1,3,4,6}:{(48,1),(49,1),(51,1),(79,1),(82,1),(84,1),(112,1),(131,1)}
        67:{2,4,6}:{(48,1),(50,1),(52,1),(83,1)}
        68:{1,2,6}:{(49,1),(50,1),(53,1)}
        69:{1,2,4,7}:{(51,1),(52,1),(53,1),(84,1),(85,1)}
        70:{3,4,5,7}:{(54,1),(58,1),(78,1),(87,1),(88,1),(89,1),(118,1)}
        71:{1,4,7}:{(54,1),(55,1),(79,1)}
        72:{2,4,7}:{(54,1),(56,1),(80,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(61,1),(81,1),(90,1)}
        74:{3,5,6}:{(57,1),(58,1),(87,1),(92,1)}
        75:{1,3,5,7}:{(58,1),(59,1),(82,1),(88,1),(91,1),(93,1),(118,1),(139,1)}
        76:{2,5,7}:{(58,1),(60,1),(83,1),(92,1)}
        77:{1,2,4,6,7}:{(59,1),(60,1),(61,1),(84,1),(90,1),(93,1),(94,1),(117,1),(120,1)}
        78:{3,4,5}:{(62,1),(65,1),(96,1),(97,1),(123,1),(138,1)}
        79:{1,4,6}:{(62,1),(63,1),(71,1),(96,1),(136,1)}
        80:{2,4,6}:{(62,1),(64,1),(72,1),(97,1),(124,1)}
        81:{1,2,5,6}:{(63,1),(64,1),(68,1),(73,1),(98,1),(99,1),(121,1),(125,1)}
        82:{1,3,5}:{(65,1),(66,1),(96,1),(99,1),(123,1)}
        83:{2,5}:{(65,1),(67,1)}
        84:{1,2,4,6}:{(66,1),(67,1),(68,1),(69,1),(99,1),(100,1),(124,1)}
        85:{2,3,7}:{(69,1),(100,1),(106,1)}
        86:{2,3,4,7}:{(72,1),(95,1),(101,1),(102,1),(106,1),(128,1)}
        87:{3,4,6}:{(70,1),(74,1),(103,1),(104,1),(127,1)}
        88:{1,4,5,7}:{(70,1),(71,1),(75,1),(96,1),(103,1)}
        89:{2,4,5,7}:{(70,1),(72,1),(76,1),(97,1),(101,1),(104,1)}
        90:{1,2,4,7}:{(71,1),(72,1),(73,1),(98,1),(106,1)}
        91:{1,3,5,6}:{(74,1),(75,1),(103,1),(107,1),(127,1)}
        92:{2,5,6}:{(74,1),(76,1),(104,1)}
        93:{1,2,5,7}:{(75,1),(76,1),(77,1),(99,1),(107,1),(108,1)}
        94:{2,3,6,7}:{(77,1),(100,1),(106,1),(108,1),(127,1)}
        95:{2,3,4,6}:{(80,1),(86,1),(109,1),(110,1),(112,1),(114,1),(131,1),(134,1)}
        96:{1,4,5}:{(78,1),(79,1),(82,1),(139,1)}
        97:{2,4,5}:{(78,1),(80,1),(83,1),(109,1)}
        98:{1,2,4,6}:{(79,1),(80,1),(81,1),(90,1),(111,1),(112,1)}
        99:{1,2,5}:{(82,1),(83,1),(84,1),(113,1)}
       100:{2,3,6}:{(84,1),(85,1),(112,1),(113,1)}
       101:{2,3,5,7}:{(86,1),(89,1),(109,1),(114,1),(115,1),(118,1)}
       102:{1,2,4,7}:{(86,1),(110,1),(115,1),(116,1),(133,1)}
       103:{1,4,6}:{(87,1),(88,1),(91,1)}
       104:{2,4,6}:{(87,1),(89,1),(92,1),(114,1)}
       105:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(93,1),(111,1),(115,1),(117,1),(118,1),(120,1),(133,1),(135,1),(139,1)}
       106:{3,7}:{(90,1),(112,1)}
       107:{1,2,5,6}:{(91,1),(92,1),(93,1),(117,1),(119,1),(139,1)}
       108:{2,3,5,7}:{(93,1),(94,1),(113,1),(118,1),(119,1),(120,1)}
       109:{2,3,5}:{(95,1),(97,1),(121,1),(123,1),(138,1)}
       110:{1,2,4,6}:{(95,1),(102,1),(121,1),(122,1),(125,1),(136,1),(137,1)}
       111:{1,2,4,5}:{(96,1),(97,1),(98,1),(99,1),(121,1),(123,1),(124,1),(136,1)}
       112:{3,6}:{(98,1),(106,1),(123,1)}
       113:{2,3,5}:{(99,1),(100,1),(123,1),(124,1)}
       114:{2,3,6}:{(101,1),(104,1),(125,1),(127,1)}
       115:{1,2,5,7}:{(101,1),(102,1),(121,1),(125,1),(126,1)}
       116:{1,3,7}:{(102,1),(106,1),(122,1)}
       117:{1,2,4,6}:{(103,1),(104,1),(105,1),(107,1),(125,1),(127,1),(129,1),(137,1)}
       118:{3,5,7}:{(105,1),(106,1),(123,1),(127,1),(128,1),(138,1)}
       119:{2,3,5,6}:{(107,1),(108,1),(127,1),(129,1),(138,1)}
       120:{2,4,7}:{(108,1),(124,1),(128,1),(129,1)}
       121:{1,2,5}:{(109,1),(110,1),(130,1),(139,1)}
       122:{1,3,6}:{(110,1),(112,1),(116,1),(130,1)}
       123:{3,5}:{(111,1),(112,1),(131,1)}
       124:{2,4}:{(113,1),(131,1)}
       125:{1,2,6}:{(114,1),(115,1),(132,1)}
       126:{1,3,5,7}:{(115,1),(116,1),(118,1),(130,1),(132,1),(133,1),(139,1)}
       127:{3,6}:{(117,1),(118,1)}
       128:{3,4,7}:{(118,1),(120,1),(131,1),(133,1),(134,1)}
       129:{2,4,6}:{(119,1),(120,1),(134,1),(135,1)}
       130:{1,3,5}:{(121,1),(122,1),(123,1),(136,1)}
       131:{3,4}:{(123,1),(124,1),(136,1)}
       132:{1,3,6}:{(125,1),(126,1),(127,1),(137,1)}
       133:{1,4,7}:{(126,1),(128,1),(136,1),(137,1)}
       134:{3,4,6}:{(127,1),(128,1),(129,1),(137,1),(138,1)}
       135:{2,4,5}:{(129,1),(138,1)}
       136:{1,4}:{(130,1),(131,1)}
       137:{1,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

1037 :   0:{2,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(18,1),(43,1),(116,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(21,1),(32,1),(50,1),(55,1),(60,1),(86,1),(89,1),(100,1)}
         2:{1,2,5,6,7}:{(0,1),(7,1),(8,1),(20,1),(28,1),(61,1),(64,1),(101,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(9,1),(21,1),(60,1),(127,1)}
         4:{1,2,4,6,7}:{(1,1),(12,1),(13,1),(19,1),(34,1),(38,1),(48,1),(81,1),(104,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(39,1),(103,1),(106,1)}
         6:{2,4,5,7}:{(3,1),(11,1),(16,1),(134,1)}
         7:{1,3,5,6,7}:{(2,1),(17,1),(18,1),(33,1),(42,1),(45,1),(82,1)}
         8:{1,2,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(18,1),(19,1),(34,1),(47,1),(48,1),(81,1),(114,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(18,1),(19,1),(35,1),(41,1),(133,1)}
        10:{2,3,5,6}:{(5,1),(20,1),(21,1),(23,1),(50,1)}
        11:{2,4,5,6}:{(6,1),(21,1),(23,1)}
        12:{1,3,6,7}:{(4,1),(24,1),(50,1),(100,1),(119,1)}
        13:{1,2,5,7}:{(4,1),(5,1),(20,1),(24,1),(28,1),(118,1)}
        14:{2,4,5,7}:{(5,1),(21,1),(26,1),(60,1),(92,1)}
        15:{1,2,4,5,7}:{(6,1),(8,1),(22,1),(27,1),(28,1),(29,1),(59,1),(60,1),(61,1),(64,1)}
        16:{3,5,7}:{(6,1),(9,1),(23,1),(28,1),(138,1)}
        17:{1,4,6,7}:{(7,1),(29,1),(30,1),(49,1),(59,1),(97,1)}
        18:{3,6,7}:{(8,1),(27,1),(50,1),(100,1),(125,1)}
        19:{1,4,6,7}:{(9,1),(28,1),(31,1),(51,1),(59,1),(137,1)}
        20:{1,2,5,6}:{(10,1),(13,1),(33,1),(34,1),(37,1),(106,1)}
        21:{2,4,6}:{(10,1),(14,1),(35,1)}
        22:{1,2,4,5,6}:{(11,1),(15,1),(34,1),(36,1),(37,1),(44,1),(66,1),(71,1),(72,1),(73,1),(83,1),(106,1),(108,1),(114,1),(134,1),(139,1)}
        23:{3,5,6}:{(11,1),(16,1),(35,1),(37,1)}
        24:{1,3,5,7}:{(12,1),(13,1),(33,1),(38,1),(39,1),(128,1)}
        25:{1,2,4,5,7}:{(13,1),(14,1),(34,1),(38,1),(39,1),(40,1),(66,1),(76,1),(77,1),(81,1),(106,1),(108,1)}
        26:{3,4,5,7}:{(14,1),(16,1),(35,1),(39,1),(40,1),(41,1),(70,1)}
        27:{3,5,7}:{(15,1),(18,1),(36,1),(41,1)}
        28:{1,5,7}:{(16,1),(19,1),(37,1),(139,1)}
        29:{1,4,5,7}:{(17,1),(44,1),(45,1),(66,1)}
        30:{3,4,6,7}:{(17,1),(18,1),(41,1),(45,1),(47,1),(67,1),(78,1)}
        31:{1,3,6,7}:{(18,1),(19,1),(42,1),(48,1),(68,1),(131,1)}
        32:{2,3,6,7}:{(18,1),(43,1),(47,1),(48,1),(69,1),(110,1)}
        33:{1,3,5,6}:{(20,1),(24,1),(49,1),(50,1),(87,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(25,1),(49,1),(50,1),(51,1),(89,1),(90,1)}
        35:{3,4,6}:{(21,1),(23,1),(26,1),(50,1),(51,1)}
        36:{3,5,6}:{(22,1),(27,1),(50,1),(52,1),(87,1),(122,1),(125,1),(138,1)}
        37:{1,5,6}:{(23,1),(28,1),(51,1)}
        38:{1,4,7}:{(24,1),(49,1),(55,1),(135,1)}
        39:{3,5,7}:{(25,1),(50,1),(55,1),(87,1),(100,1),(122,1)}
        40:{1,4,5,7}:{(26,1),(28,1),(51,1),(56,1),(59,1),(91,1)}
        41:{3,4,7}:{(27,1),(52,1),(59,1),(60,1),(100,1)}
        42:{1,3,5,7}:{(27,1),(28,1),(31,1),(53,1),(59,1),(61,1),(100,1)}
        43:{2,3,5,7}:{(27,1),(32,1),(54,1),(60,1),(61,1),(64,1),(100,1)}
        44:{1,4,5,6}:{(29,1),(62,1),(97,1)}
        45:{3,5,7}:{(29,1),(30,1),(62,1),(64,1),(87,1)}
        46:{1,3,4,6,7}:{(30,1),(31,1),(59,1),(63,1),(65,1),(88,1),(97,1),(100,1),(125,1),(126,1),(137,1)}
        47:{2,4,6,7}:{(30,1),(32,1),(60,1),(64,1),(89,1),(98,1)}
        48:{1,2,6,7}:{(31,1),(32,1),(61,1),(90,1),(123,1)}
        49:{1,4,6}:{(33,1),(38,1),(66,1),(67,1)}
        50:{3,6}:{(34,1),(39,1)}
        51:{1,4,6}:{(35,1),(37,1),(40,1),(68,1)}
        52:{3,4,6}:{(36,1),(41,1),(70,1),(71,1),(72,1),(109,1),(130,1)}
        53:{1,3,5,6}:{(36,1),(37,1),(42,1),(68,1),(71,1),(73,1),(105,1),(109,1),(128,1),(131,1),(139,1)}
        54:{2,3,5,6}:{(36,1),(43,1),(69,1),(72,1),(73,1),(83,1),(103,1),(106,1),(109,1),(110,1),(129,1)}
        55:{3,4,7}:{(38,1),(39,1),(67,1),(76,1),(130,1)}
        56:{1,3,5,7}:{(39,1),(40,1),(68,1),(75,1),(77,1),(105,1)}
        57:{2,3,5,7}:{(39,1),(69,1),(76,1),(77,1),(106,1),(113,1),(129,1)}
        58:{3,4,5,7}:{(41,1),(45,1),(70,1),(78,1),(79,1),(80,1),(115,1)}
        59:{1,4,7}:{(41,1),(42,1),(71,1)}
        60:{2,4,7}:{(41,1),(43,1),(72,1)}
        61:{1,2,5,7}:{(42,1),(43,1),(48,1),(73,1),(81,1)}
        62:{3,5,6}:{(44,1),(45,1),(78,1),(83,1)}
        63:{1,3,5,7}:{(45,1),(46,1),(79,1),(82,1),(84,1),(105,1),(115,1),(139,1)}
        64:{2,5,7}:{(45,1),(47,1),(83,1),(106,1)}
        65:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(81,1),(84,1),(85,1),(107,1),(114,1),(117,1)}
        66:{1,4,5}:{(49,1),(87,1)}
        67:{3,4,6}:{(49,1),(50,1),(55,1),(87,1),(89,1)}
        68:{1,3,6}:{(50,1),(51,1),(56,1),(90,1)}
        69:{2,3,6}:{(50,1),(57,1),(89,1),(90,1)}
        70:{3,4,5}:{(52,1),(87,1),(91,1),(92,1),(122,1),(138,1)}
        71:{1,4,6}:{(52,1),(53,1),(59,1),(91,1),(135,1)}
        72:{2,4,6}:{(52,1),(54,1),(60,1),(92,1),(136,1)}
        73:{1,2,5,6}:{(53,1),(54,1),(61,1),(90,1),(93,1),(118,1),(120,1),(123,1)}
        74:{2,3,4,7}:{(60,1),(86,1),(94,1),(95,1),(100,1),(126,1)}
        75:{1,3,4,7}:{(55,1),(56,1),(59,1),(88,1),(96,1),(100,1)}
        76:{2,4,7}:{(55,1),(57,1),(89,1),(136,1)}
        77:{1,2,5,7}:{(56,1),(57,1),(90,1),(96,1),(120,1)}
        78:{3,4,6}:{(58,1),(62,1),(97,1),(98,1),(125,1)}
        79:{1,4,5,7}:{(58,1),(59,1),(63,1),(91,1),(97,1)}
        80:{2,4,5,7}:{(58,1),(60,1),(64,1),(92,1),(94,1),(98,1)}
        81:{1,2,4,7}:{(59,1),(60,1),(61,1),(93,1),(100,1)}
        82:{1,3,5,6}:{(62,1),(63,1),(97,1),(101,1),(125,1)}
        83:{2,5,6}:{(62,1),(64,1),(98,1)}
        84:{1,2,5,7}:{(63,1),(64,1),(65,1),(101,1),(102,1),(120,1)}
        85:{2,3,6,7}:{(65,1),(100,1),(102,1),(121,1),(125,1)}
        86:{2,3,4,6}:{(72,1),(74,1),(103,1),(104,1),(109,1),(110,1),(130,1),(133,1)}
        87:{3,5}:{(66,1),(67,1),(106,1)}
        88:{1,3,4,6}:{(67,1),(68,1),(71,1),(75,1),(105,1),(107,1),(109,1),(130,1)}
        89:{2,4,6}:{(67,1),(69,1),(76,1),(106,1)}
        90:{1,2,6}:{(68,1),(69,1),(77,1)}
        91:{1,4,5}:{(70,1),(71,1),(105,1),(139,1)}
        92:{2,4,5}:{(70,1),(72,1),(103,1),(106,1)}
        93:{1,2,4,6}:{(71,1),(72,1),(73,1),(81,1),(108,1),(109,1)}
        94:{2,3,5,7}:{(74,1),(80,1),(103,1),(110,1),(111,1),(115,1)}
        95:{1,2,4,7}:{(74,1),(104,1),(111,1),(112,1),(132,1)}
        96:{1,2,4,7}:{(75,1),(76,1),(77,1),(107,1),(113,1)}
        97:{1,4,6}:{(78,1),(79,1),(82,1)}
        98:{2,4,6}:{(78,1),(80,1),(83,1),(110,1)}
        99:{1,2,4,5,7}:{(79,1),(80,1),(81,1),(84,1),(108,1),(111,1),(114,1),(115,1),(117,1),(132,1),(134,1),(139,1)}
       100:{3,7}:{(81,1),(109,1)}
       101:{1,2,5,6}:{(82,1),(83,1),(84,1),(114,1),(116,1),(139,1)}
       102:{2,3,5,7}:{(84,1),(85,1),(115,1),(116,1),(117,1),(129,1)}
       103:{2,3,5}:{(86,1),(92,1),(118,1),(122,1),(138,1)}
       104:{1,2,4,6}:{(86,1),(95,1),(118,1),(119,1),(123,1),(135,1),(137,1)}
       105:{1,3,5}:{(87,1),(88,1),(91,1),(120,1),(122,1)}
       106:{2,5}:{(87,1),(89,1)}
       107:{1,2,4,6}:{(88,1),(89,1),(90,1),(96,1),(120,1),(121,1),(136,1)}
       108:{1,2,4,5}:{(91,1),(92,1),(93,1),(118,1),(120,1),(122,1),(135,1),(136,1)}
       109:{3,6}:{(93,1),(100,1),(122,1)}
       110:{2,3,6}:{(94,1),(98,1),(123,1),(125,1)}
       111:{1,2,5,7}:{(94,1),(95,1),(118,1),(123,1),(124,1)}
       112:{1,3,7}:{(95,1),(100,1),(119,1)}
       113:{2,3,7}:{(96,1),(100,1),(121,1)}
       114:{1,2,4,6}:{(97,1),(98,1),(99,1),(101,1),(123,1),(125,1),(127,1),(137,1)}
       115:{3,5,7}:{(99,1),(100,1),(122,1),(125,1),(126,1),(138,1)}
       116:{2,3,5,6}:{(101,1),(102,1),(125,1),(127,1),(138,1)}
       117:{2,4,7}:{(102,1),(126,1),(127,1),(136,1)}
       118:{1,2,5}:{(103,1),(104,1),(128,1),(139,1)}
       119:{1,3,6}:{(104,1),(109,1),(112,1),(128,1)}
       120:{1,2,5}:{(105,1),(106,1),(107,1),(129,1)}
       121:{2,3,6}:{(107,1),(109,1),(113,1),(129,1)}
       122:{3,5}:{(108,1),(109,1),(130,1)}
       123:{1,2,6}:{(110,1),(111,1),(131,1)}
       124:{1,3,5,7}:{(111,1),(112,1),(115,1),(128,1),(131,1),(132,1),(139,1)}
       125:{3,6}:{(114,1),(115,1)}
       126:{3,4,7}:{(115,1),(117,1),(130,1),(132,1),(133,1)}
       127:{2,4,6}:{(116,1),(117,1),(133,1),(134,1)}
       128:{1,3,5}:{(118,1),(119,1),(122,1),(135,1)}
       129:{2,3,5}:{(120,1),(121,1),(122,1),(136,1)}
       130:{3,4}:{(122,1),(135,1),(136,1)}
       131:{1,3,6}:{(123,1),(124,1),(125,1),(137,1)}
       132:{1,4,7}:{(124,1),(126,1),(135,1),(137,1)}
       133:{3,4,6}:{(125,1),(126,1),(127,1),(137,1),(138,1)}
       134:{2,4,5}:{(127,1),(138,1)}
       135:{1,4}:{(128,1),(130,1)}
       136:{2,4}:{(129,1),(130,1)}
       137:{1,4,6}:{(131,1),(132,1),(133,1),(139,1)}
       138:{3,5}:{(133,1),(134,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

1038 :   0:{3,5,6,7}:{(2,1),(4,1),(6,1),(28,1),(37,1),(45,1)}
         1:{3,4,5,7}:{(8,1),(9,1),(10,1),(32,1),(41,1),(45,1),(51,1),(84,1),(97,1),(162,1),(164,1)}
         2:{2,5,6,7}:{(0,1),(11,1),(67,1),(79,1)}
         3:{2,3,4,7}:{(13,1),(14,1),(15,1),(77,1),(83,1),(115,1),(166,1),(196,1)}
         4:{1,5,6,7}:{(0,1),(16,1),(53,1),(78,1)}
         5:{1,3,4,7}:{(18,1),(19,1),(20,1),(64,1),(83,1),(126,1),(174,1),(200,1)}
         6:{4,6,7}:{(0,1),(21,1)}
         7:{4,5,6}:{(21,1),(23,1),(140,1)}
         8:{3,4,6}:{(1,1),(23,1),(24,1),(25,1),(82,1),(140,1)}
         9:{1,4,5,7}:{(1,1),(18,1),(24,1),(60,1),(73,1),(78,1),(114,1),(126,1)}
        10:{2,4,5,7}:{(1,1),(13,1),(25,1),(61,1),(74,1),(79,1),(115,1),(127,1)}
        11:{2,4,6,7}:{(2,1),(6,1),(27,1),(28,1)}
        12:{2,4,5,6}:{(7,1),(27,1),(29,1),(49,1),(89,1)}
        13:{2,3,5,7}:{(3,1),(10,1),(30,1),(31,1),(33,1),(51,1),(106,1),(152,1),(204,1)}
        14:{2,3,4,6}:{(3,1),(30,1),(33,1),(34,1),(89,1),(113,1),(147,1),(151,1),(187,1)}
        15:{1,2,4,7}:{(3,1),(31,1),(34,1),(35,1),(92,1),(109,1)}
        16:{1,4,6,7}:{(4,1),(6,1),(36,1),(37,1)}
        17:{1,4,5,6}:{(7,1),(36,1),(38,1),(48,1),(101,1)}
        18:{1,3,5,7}:{(5,1),(9,1),(39,1),(40,1),(42,1),(51,1),(93,1),(142,1),(206,1)}
        19:{1,3,4,6}:{(5,1),(39,1),(42,1),(43,1),(101,1),(113,1),(157,1),(161,1),(193,1)}
        20:{1,2,4,7}:{(5,1),(40,1),(43,1),(44,1),(96,1),(105,1)}
        21:{4,5,7}:{(6,1),(7,1),(45,1),(162,1)}
        22:{3,4,6,7}:{(6,1),(8,1),(28,1),(37,1),(45,1),(46,1),(47,1),(84,1),(97,1),(111,1),(162,1)}
        23:{3,5,6}:{(7,1),(8,1),(45,1),(48,1),(49,1)}
        24:{1,4,6}:{(8,1),(9,1),(39,1),(48,1)}
        25:{2,4,6}:{(8,1),(10,1),(30,1),(49,1)}
        26:{1,2,4,5,7}:{(9,1),(10,1),(31,1),(40,1),(50,1),(51,1),(92,1),(94,1),(105,1),(107,1),(110,1),(143,1),(149,1),(153,1),(159,1),(162,1),(164,1),(185,1),(191,1),(204,1),(206,1)}
        27:{2,4,5,7}:{(11,1),(12,1),(21,1),(52,1),(79,1),(115,1)}
        28:{3,6,7}:{(11,1),(52,1),(53,1)}
        29:{3,5,6}:{(12,1),(52,1),(55,1),(56,1)}
        30:{2,3,6}:{(13,1),(25,1),(58,1),(82,1),(208,1)}
        31:{1,2,5,7}:{(13,1),(15,1),(58,1),(59,1),(62,1),(134,1),(173,1)}
        32:{3,4,5}:{(55,1),(60,1),(61,1),(123,1)}
        33:{2,3,5}:{(14,1),(61,1),(62,1),(123,1),(141,1),(199,1)}
        34:{1,2,4,6}:{(14,1),(15,1),(58,1),(62,1),(63,1),(121,1),(124,1)}
        35:{1,3,7}:{(15,1),(63,1),(137,1),(166,1)}
        36:{1,4,5,7}:{(16,1),(17,1),(21,1),(65,1),(78,1),(126,1)}
        37:{3,6,7}:{(16,1),(65,1),(67,1)}
        38:{3,5,6}:{(17,1),(65,1),(68,1),(70,1)}
        39:{1,3,6}:{(18,1),(24,1),(71,1),(82,1),(209,1)}
        40:{1,2,5,7}:{(18,1),(20,1),(71,1),(72,1),(75,1),(122,1),(165,1)}
        41:{3,4,5}:{(68,1),(73,1),(74,1),(135,1)}
        42:{1,3,5}:{(19,1),(73,1),(75,1),(135,1),(141,1),(203,1)}
        43:{1,2,4,6}:{(19,1),(20,1),(71,1),(75,1),(76,1),(133,1),(136,1)}
        44:{2,3,7}:{(20,1),(76,1),(125,1),(174,1)}
        45:{3,5,7}:{(21,1),(22,1),(23,1),(78,1),(79,1)}
        46:{1,4,6,7}:{(22,1),(24,1),(53,1),(66,1),(78,1),(114,1),(126,1)}
        47:{2,4,6,7}:{(22,1),(25,1),(54,1),(67,1),(79,1),(115,1),(127,1)}
        48:{1,5,6}:{(23,1),(24,1),(78,1)}
        49:{2,5,6}:{(23,1),(25,1),(79,1)}
        50:{1,2,4,6}:{(24,1),(25,1),(26,1),(58,1),(71,1),(81,1),(82,1),(121,1),(133,1),(140,1),(198,1),(202,1),(208,1),(209,1)}
        51:{3,5,7}:{(26,1),(82,1),(83,1),(123,1),(135,1),(141,1),(166,1),(174,1)}
        52:{3,5,7}:{(27,1),(28,1),(29,1),(84,1),(85,1)}
        53:{1,6,7}:{(28,1),(85,1)}
        54:{2,3,6,7}:{(28,1),(30,1),(47,1),(86,1),(87,1),(111,1),(152,1)}
        55:{3,4,6}:{(29,1),(32,1),(84,1),(88,1),(89,1),(147,1)}
        56:{1,5,6}:{(29,1),(85,1),(88,1)}
        57:{2,3,5,6}:{(29,1),(30,1),(33,1),(49,1),(86,1),(89,1),(90,1),(112,1),(147,1)}
        58:{1,2,6}:{(30,1),(31,1),(91,1)}
        59:{1,3,5,7}:{(31,1),(35,1),(51,1),(91,1),(92,1),(95,1),(149,1),(160,1),(189,1),(206,1)}
        60:{1,4,5}:{(32,1),(88,1),(93,1)}
        61:{2,4,5}:{(32,1),(33,1),(89,1),(164,1)}
        62:{1,2,5}:{(33,1),(34,1),(95,1),(149,1)}
        63:{1,3,6}:{(34,1),(35,1),(95,1),(147,1)}
        64:{1,3,4}:{(93,1),(96,1),(151,1)}
        65:{3,5,7}:{(36,1),(37,1),(38,1),(97,1),(99,1)}
        66:{1,3,6,7}:{(37,1),(39,1),(46,1),(98,1),(100,1),(111,1),(142,1)}
        67:{2,6,7}:{(37,1),(99,1)}
        68:{3,4,6}:{(38,1),(41,1),(97,1),(101,1),(102,1),(157,1)}
        69:{1,3,5,6}:{(38,1),(39,1),(42,1),(48,1),(98,1),(101,1),(103,1),(112,1),(157,1)}
        70:{2,5,6}:{(38,1),(99,1),(102,1)}
        71:{1,2,6}:{(39,1),(40,1),(104,1)}
        72:{2,3,5,7}:{(40,1),(44,1),(51,1),(104,1),(105,1),(108,1),(150,1),(159,1),(183,1),(204,1)}
        73:{1,4,5}:{(41,1),(42,1),(101,1),(164,1)}
        74:{2,4,5}:{(41,1),(102,1),(106,1)}
        75:{1,2,5}:{(42,1),(43,1),(108,1),(159,1)}
        76:{2,3,6}:{(43,1),(44,1),(108,1),(157,1)}
        77:{2,3,4}:{(106,1),(109,1),(161,1)}
        78:{1,5,7}:{(45,1),(46,1),(48,1)}
        79:{2,5,7}:{(45,1),(47,1),(49,1)}
        80:{1,2,4,6,7}:{(46,1),(47,1),(50,1),(87,1),(100,1),(110,1),(111,1),(143,1),(145,1),(153,1),(155,1),(162,1)}
        81:{1,2,5,6}:{(48,1),(49,1),(50,1),(110,1),(112,1),(149,1),(159,1),(186,1),(192,1)}
        82:{3,6}:{(50,1),(51,1)}
        83:{3,4,7}:{(51,1),(92,1),(105,1),(113,1),(151,1),(161,1),(162,1)}
        84:{3,4,7}:{(52,1),(55,1),(114,1),(115,1),(166,1)}
        85:{1,5,7}:{(52,1),(53,1),(56,1),(114,1)}
        86:{2,3,5,7}:{(52,1),(54,1),(57,1),(79,1),(115,1),(116,1),(138,1),(166,1)}
        87:{1,2,6,7}:{(53,1),(54,1),(58,1),(116,1),(117,1),(173,1),(208,1)}
        88:{1,4,6}:{(55,1),(56,1),(60,1),(114,1),(118,1)}
        89:{2,4,6}:{(55,1),(57,1),(61,1),(115,1),(140,1)}
        90:{1,2,5,6}:{(56,1),(57,1),(58,1),(62,1),(116,1),(119,1),(120,1),(199,1),(208,1)}
        91:{1,3,6}:{(58,1),(59,1),(82,1),(121,1),(209,1)}
        92:{1,4,7}:{(59,1),(83,1),(121,1),(124,1),(180,1)}
        93:{1,3,5}:{(60,1),(64,1),(118,1),(122,1),(123,1)}
        94:{1,2,4,5}:{(60,1),(61,1),(62,1),(119,1),(122,1),(123,1),(124,1),(171,1),(172,1),(199,1)}
        95:{1,3,5}:{(62,1),(63,1),(123,1),(124,1)}
        96:{1,2,4}:{(64,1),(122,1),(125,1),(172,1)}
        97:{3,4,7}:{(65,1),(68,1),(126,1),(127,1),(174,1)}
        98:{1,3,5,7}:{(65,1),(66,1),(69,1),(78,1),(126,1),(128,1),(138,1),(174,1)}
        99:{2,5,7}:{(65,1),(67,1),(70,1),(127,1)}
       100:{1,2,6,7}:{(66,1),(67,1),(71,1),(128,1),(129,1),(165,1),(209,1)}
       101:{1,4,6}:{(68,1),(69,1),(73,1),(126,1),(140,1)}
       102:{2,4,6}:{(68,1),(70,1),(74,1),(127,1),(130,1)}
       103:{1,2,5,6}:{(69,1),(70,1),(71,1),(75,1),(128,1),(131,1),(132,1),(203,1),(209,1)}
       104:{2,3,6}:{(71,1),(72,1),(82,1),(133,1),(208,1)}
       105:{2,4,7}:{(72,1),(83,1),(133,1),(136,1),(172,1)}
       106:{2,3,5}:{(74,1),(77,1),(130,1),(134,1),(135,1)}
       107:{1,2,4,5}:{(73,1),(74,1),(75,1),(131,1),(134,1),(135,1),(136,1),(179,1),(180,1),(203,1)}
       108:{2,3,5}:{(75,1),(76,1),(135,1),(136,1)}
       109:{1,2,4}:{(77,1),(134,1),(137,1),(180,1)}
       110:{1,2,5,7}:{(78,1),(79,1),(80,1),(81,1),(138,1),(168,1),(176,1)}
       111:{3,6,7}:{(80,1),(82,1),(138,1),(166,1),(174,1)}
       112:{3,5,6}:{(81,1),(82,1),(138,1),(140,1),(141,1)}
       113:{3,4,6}:{(82,1),(83,1),(121,1),(133,1),(140,1),(141,1)}
       114:{1,4,7}:{(84,1),(85,1),(88,1),(142,1)}
       115:{2,4,7}:{(84,1),(86,1),(89,1),(162,1)}
       116:{1,2,5,7}:{(85,1),(86,1),(87,1),(90,1),(143,1),(144,1),(204,1)}
       117:{1,3,6,7}:{(87,1),(91,1),(111,1),(144,1),(145,1),(189,1),(205,1)}
       118:{1,3,6}:{(88,1),(93,1),(142,1),(146,1),(147,1)}
       119:{1,2,4,6}:{(88,1),(89,1),(90,1),(94,1),(143,1),(146,1),(147,1),(148,1),(187,1)}
       120:{1,3,5,6}:{(90,1),(91,1),(95,1),(112,1),(144,1),(147,1),(148,1),(149,1),(186,1),(188,1),(205,1)}
       121:{1,4,6}:{(91,1),(92,1),(113,1),(149,1)}
       122:{1,2,5}:{(93,1),(96,1),(146,1),(150,1)}
       123:{3,5}:{(94,1),(147,1),(151,1)}
       124:{1,4}:{(95,1),(151,1)}
       125:{2,3}:{(96,1)}
       126:{1,4,7}:{(97,1),(98,1),(101,1),(162,1)}
       127:{2,4,7}:{(97,1),(99,1),(102,1),(152,1)}
       128:{1,2,5,7}:{(98,1),(99,1),(100,1),(103,1),(153,1),(154,1),(206,1)}
       129:{2,3,6,7}:{(100,1),(104,1),(111,1),(154,1),(155,1),(183,1),(207,1)}
       130:{2,3,6}:{(102,1),(106,1),(152,1),(156,1),(157,1)}
       131:{1,2,4,6}:{(101,1),(102,1),(103,1),(107,1),(153,1),(156,1),(157,1),(158,1),(193,1)}
       132:{2,3,5,6}:{(103,1),(104,1),(108,1),(112,1),(154,1),(157,1),(158,1),(159,1),(192,1),(194,1),(207,1)}
       133:{2,4,6}:{(104,1),(105,1),(113,1),(159,1)}
       134:{1,2,5}:{(106,1),(109,1),(156,1),(160,1)}
       135:{3,5}:{(107,1),(157,1),(161,1)}
       136:{2,4}:{(108,1),(161,1)}
       137:{1,3}:{(109,1)}
       138:{3,5,7}:{(110,1),(111,1),(112,1),(162,1)}
       139:{3,4,6,7}:{(111,1),(113,1),(145,1),(155,1),(162,1),(163,1),(184,1),(190,1),(195,1),(205,1),(207,1)}
       140:{4,6}:{(112,1),(162,1),(164,1)}
       141:{3,5}:{(113,1),(149,1),(159,1),(164,1)}
       142:{1,3,7}:{(114,1),(118,1),(165,1),(166,1)}
       143:{1,2,4,7}:{(114,1),(115,1),(116,1),(119,1),(165,1),(166,1),(167,1),(196,1)}
       144:{1,3,5,7}:{(116,1),(117,1),(120,1),(138,1),(166,1),(167,1),(168,1),(197,1)}
       145:{1,4,6,7}:{(117,1),(121,1),(139,1),(167,1),(168,1),(198,1),(200,1),(209,1)}
       146:{1,2,6}:{(118,1),(122,1),(165,1),(169,1)}
       147:{3,6}:{(119,1),(123,1),(166,1)}
       148:{1,4,6}:{(120,1),(124,1),(140,1),(167,1),(170,1),(171,1)}
       149:{1,5}:{(121,1),(141,1)}
       150:{2,3,5}:{(122,1),(123,1),(125,1),(169,1),(172,1),(199,1)}
       151:{3,4}:{(123,1),(124,1),(172,1)}
       152:{2,3,7}:{(127,1),(130,1),(173,1),(174,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(128,1),(131,1),(173,1),(174,1),(175,1),(200,1)}
       154:{2,3,5,7}:{(128,1),(129,1),(132,1),(138,1),(174,1),(175,1),(176,1),(201,1)}
       155:{2,4,6,7}:{(129,1),(133,1),(139,1),(175,1),(176,1),(196,1),(202,1),(208,1)}
       156:{1,2,6}:{(130,1),(134,1),(173,1),(177,1)}
       157:{3,6}:{(131,1),(135,1),(174,1)}
       158:{2,4,6}:{(132,1),(136,1),(140,1),(175,1),(178,1),(179,1)}
       159:{2,5}:{(133,1),(141,1)}
       160:{1,3,5}:{(134,1),(135,1),(137,1),(177,1),(180,1),(203,1)}
       161:{3,4}:{(135,1),(136,1),(180,1)}
       162:{4,7}:{(138,1),(140,1)}
       163:{3,5,7}:{(139,1),(141,1),(168,1),(176,1),(181,1),(182,1)}
       164:{4,5}:{(140,1),(141,1)}
       165:{1,2,7}:{(142,1),(146,1),(183,1)}
       166:{3,7}:{(143,1),(147,1)}
       167:{1,4,7}:{(144,1),(148,1),(162,1),(184,1)}
       168:{1,5,7}:{(145,1),(149,1),(163,1),(186,1)}
       169:{2,3,6}:{(146,1),(147,1),(150,1),(183,1),(187,1)}
       170:{3,4,6}:{(147,1),(148,1),(151,1),(184,1),(187,1),(188,1),(205,1)}
       171:{1,4,5}:{(148,1),(149,1),(164,1),(188,1)}
       172:{2,4}:{(150,1),(151,1)}
       173:{1,2,7}:{(152,1),(156,1),(189,1)}
       174:{3,7}:{(153,1),(157,1)}
       175:{2,4,7}:{(154,1),(158,1),(162,1),(190,1)}
       176:{2,5,7}:{(155,1),(159,1),(163,1),(192,1)}
       177:{1,3,6}:{(156,1),(157,1),(160,1),(189,1),(193,1)}
       178:{3,4,6}:{(157,1),(158,1),(161,1),(190,1),(193,1),(194,1),(207,1)}
       179:{2,4,5}:{(158,1),(159,1),(164,1),(194,1)}
       180:{1,4}:{(160,1),(161,1)}
       181:{4,5,7}:{(162,1),(163,1),(164,1),(195,1)}
       182:{3,5,6}:{(163,1),(186,1),(192,1),(195,1),(205,1),(207,1)}
       183:{2,3,7}:{(165,1),(166,1),(169,1),(196,1)}
       184:{3,4,7}:{(166,1),(167,1),(170,1),(196,1),(197,1)}
       185:{1,4,5,7}:{(167,1),(168,1),(171,1),(181,1),(197,1),(198,1)}
       186:{1,5,6}:{(168,1),(182,1),(198,1),(209,1)}
       187:{2,4,6}:{(169,1),(170,1),(172,1),(196,1),(199,1),(208,1)}
       188:{3,5}:{(170,1),(171,1),(199,1)}
       189:{1,3,7}:{(173,1),(174,1),(177,1),(200,1)}
       190:{3,4,7}:{(174,1),(175,1),(178,1),(200,1),(201,1)}
       191:{2,4,5,7}:{(175,1),(176,1),(179,1),(181,1),(201,1),(202,1)}
       192:{2,5,6}:{(176,1),(182,1),(202,1),(208,1)}
       193:{1,4,6}:{(177,1),(178,1),(180,1),(200,1),(203,1),(209,1)}
       194:{3,5}:{(178,1),(179,1),(203,1)}
       195:{4,6}:{(181,1),(182,1)}
       196:{2,4,7}:{(183,1),(184,1),(187,1),(204,1)}
       197:{3,5,7}:{(184,1),(185,1),(188,1),(204,1),(205,1)}
       198:{1,4,6}:{(185,1),(186,1),(195,1),(205,1)}
       199:{2,5}:{(187,1),(188,1)}
       200:{1,4,7}:{(189,1),(190,1),(193,1),(206,1)}
       201:{3,5,7}:{(190,1),(191,1),(194,1),(206,1),(207,1)}
       202:{2,4,6}:{(191,1),(192,1),(195,1),(207,1)}
       203:{1,5}:{(193,1),(194,1)}
       204:{2,5,7}:{(196,1),(197,1),(199,1),(208,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{1,5,7}:{(200,1),(201,1),(203,1),(209,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{2,6}:{(204,1),(205,1)}
       209:{1,6}:{(206,1),(207,1)}

1039 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(30,1),(31,1),(34,1),(37,1),(38,1),(39,1),(76,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(42,1),(43,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(25,1),(50,1),(51,1),(55,1),(59,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(27,1),(28,1),(34,1)}
         4:{3,4,6}:{(1,1),(8,1),(12,1),(37,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(12,1),(62,1),(63,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(37,1),(71,1),(72,1),(76,1)}
         7:{1,2,4,5,6}:{(3,1),(15,1),(16,1),(20,1),(42,1),(43,1),(49,1),(86,1),(87,1),(88,1)}
         8:{3,5}:{(3,1),(4,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(19,1),(20,1),(25,1),(46,1),(47,1),(55,1),(60,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(21,1),(22,1),(42,1),(56,1),(78,1),(83,1),(104,1)}
        11:{2,3,4,6}:{(4,1),(18,1),(21,1),(23,1),(43,1),(57,1),(78,1),(83,1),(104,1)}
        12:{3,4,7}:{(4,1),(5,1),(19,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(24,1),(25,1),(80,1),(81,1)}
        14:{3,4,5}:{(8,1),(26,1),(27,1),(28,1),(65,1)}
        15:{3,5,6}:{(7,1),(8,1),(26,1),(32,1),(37,1)}
        16:{1,2,4,5,7}:{(7,1),(32,1),(33,1),(62,1),(63,1),(70,1),(95,1),(96,1),(97,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(34,1),(65,1),(108,1)}
        18:{2,3,5}:{(8,1),(11,1),(28,1),(34,1),(65,1),(108,1)}
        19:{3,5,7}:{(8,1),(9,1),(12,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(37,1),(38,1),(67,1),(68,1),(76,1),(77,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(34,1),(39,1),(40,1),(74,1),(76,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(35,1),(40,1),(62,1),(93,1),(98,1)}
        23:{2,3,4,7}:{(11,1),(12,1),(36,1),(40,1),(63,1),(93,1),(98,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(41,1),(77,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(41,1),(95,1),(96,1)}
        26:{3,4,6}:{(14,1),(15,1),(42,1),(43,1),(44,1),(78,1)}
        27:{1,4,5}:{(14,1),(17,1),(42,1),(111,1)}
        28:{2,4,5}:{(14,1),(18,1),(43,1),(111,1)}
        29:{3,4,5,7}:{(14,1),(19,1),(44,1),(46,1),(47,1),(48,1),(60,1),(82,1),(84,1),(110,1),(111,1)}
        30:{1,3,5,6}:{(15,1),(17,1),(42,1),(49,1),(50,1),(56,1),(78,1),(86,1),(105,1)}
        31:{2,3,5,6}:{(15,1),(18,1),(43,1),(49,1),(51,1),(57,1),(78,1),(87,1),(105,1)}
        32:{3,5,7}:{(15,1),(16,1),(44,1),(52,1)}
        33:{1,2,4,6,7}:{(16,1),(20,1),(52,1),(53,1),(80,1),(81,1),(89,1),(90,1)}
        34:{1,2,5}:{(17,1),(18,1),(21,1)}
        35:{1,3,5,7}:{(17,1),(19,1),(22,1),(46,1),(55,1),(56,1),(84,1)}
        36:{2,3,5,7}:{(18,1),(19,1),(23,1),(47,1),(55,1),(57,1),(84,1)}
        37:{3,6}:{(19,1),(20,1)}
        38:{1,2,5,6}:{(20,1),(25,1),(58,1),(86,1),(87,1)}
        39:{1,2,3,6}:{(21,1),(54,1),(59,1),(78,1)}
        40:{1,2,4,7}:{(21,1),(22,1),(23,1),(55,1),(59,1)}
        41:{3,5,7}:{(24,1),(25,1),(58,1),(60,1)}
        42:{1,4,6}:{(26,1),(27,1),(30,1),(62,1),(109,1)}
        43:{2,4,6}:{(26,1),(28,1),(31,1),(63,1),(109,1)}
        44:{3,4,7}:{(26,1),(32,1),(62,1),(63,1),(93,1)}
        45:{1,2,4,5}:{(27,1),(28,1),(34,1),(61,1),(65,1),(74,1)}
        46:{1,4,5,7}:{(27,1),(29,1),(35,1),(62,1),(67,1),(95,1)}
        47:{2,4,5,7}:{(28,1),(29,1),(36,1),(63,1),(68,1),(96,1)}
        48:{3,4,6}:{(29,1),(37,1),(67,1),(68,1),(69,1),(77,1),(99,1),(109,1)}
        49:{1,2,5,6}:{(30,1),(31,1),(34,1),(61,1),(70,1),(76,1)}
        50:{1,3,5,7}:{(30,1),(32,1),(62,1),(70,1),(71,1),(93,1),(95,1),(107,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(63,1),(70,1),(72,1),(93,1),(96,1),(107,1)}
        52:{3,6,7}:{(32,1),(33,1),(37,1)}
        53:{1,2,5,6,7}:{(33,1),(38,1),(73,1),(95,1),(96,1)}
        54:{1,2,3,5}:{(34,1),(39,1),(65,1),(74,1)}
        55:{1,2,5,7}:{(34,1),(35,1),(36,1),(40,1),(76,1)}
        56:{1,3,6}:{(35,1),(37,1),(67,1),(76,1),(99,1)}
        57:{2,3,6}:{(36,1),(37,1),(68,1),(76,1),(99,1)}
        58:{3,5,6}:{(37,1),(38,1),(41,1),(77,1)}
        59:{1,2,3,7}:{(39,1),(40,1),(93,1)}
        60:{4,5,7}:{(41,1),(77,1)}
        61:{1,2,4,6}:{(42,1),(43,1),(45,1),(49,1),(78,1),(79,1)}
        62:{1,4,7}:{(42,1),(44,1),(50,1),(110,1)}
        63:{2,4,7}:{(43,1),(44,1),(51,1),(110,1)}
        64:{3,4,6,7}:{(44,1),(48,1),(52,1),(80,1),(81,1),(82,1),(90,1),(102,1),(110,1)}
        65:{3,5}:{(45,1),(78,1),(83,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(55,1),(79,1),(84,1),(85,1),(91,1),(103,1),(106,1),(110,1),(111,1)}
        67:{1,4,6}:{(46,1),(48,1),(56,1),(86,1)}
        68:{2,4,6}:{(47,1),(48,1),(57,1),(87,1)}
        69:{3,5,6}:{(48,1),(82,1),(86,1),(87,1),(88,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(89,1)}
        71:{1,3,6,7}:{(50,1),(52,1),(56,1),(80,1),(89,1),(102,1)}
        72:{2,3,6,7}:{(51,1),(52,1),(57,1),(81,1),(89,1),(102,1)}
        73:{3,5,6,7}:{(52,1),(53,1),(58,1),(82,1),(90,1)}
        74:{1,2,4}:{(54,1),(83,1)}
        75:{1,2,3,5,7}:{(54,1),(55,1),(59,1),(84,1),(91,1),(92,1),(106,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{4,6}:{(58,1),(60,1)}
        78:{3,6}:{(61,1),(65,1),(93,1)}
        79:{1,2,4,7}:{(61,1),(62,1),(63,1),(70,1),(93,1)}
        80:{1,4,6,7}:{(62,1),(64,1),(67,1),(71,1),(95,1)}
        81:{2,4,6,7}:{(63,1),(64,1),(68,1),(72,1),(96,1)}
        82:{3,5,7}:{(64,1),(69,1),(95,1),(96,1),(97,1)}
        83:{3,4}:{(65,1),(74,1)}
        84:{3,5,7}:{(65,1),(66,1),(93,1),(98,1),(99,1),(108,1)}
        85:{1,2,4,6}:{(66,1),(67,1),(68,1),(76,1),(99,1),(100,1),(109,1)}
        86:{1,5,6}:{(67,1),(69,1),(95,1)}
        87:{2,5,6}:{(68,1),(69,1),(96,1)}
        88:{4,5,6}:{(69,1),(77,1),(97,1),(109,1)}
        89:{1,2,6,7}:{(70,1),(71,1),(72,1),(76,1)}
        90:{4,6,7}:{(73,1),(77,1),(97,1)}
        91:{1,2,4,7}:{(74,1),(75,1),(98,1),(101,1)}
        92:{1,2,3,6}:{(75,1),(76,1),(99,1),(101,1)}
        93:{3,7}:{(78,1),(79,1)}
        94:{1,2,4,6,7}:{(79,1),(80,1),(81,1),(85,1),(89,1),(102,1),(103,1),(110,1)}
        95:{1,5,7}:{(80,1),(82,1),(86,1)}
        96:{2,5,7}:{(81,1),(82,1),(87,1)}
        97:{4,5,7}:{(82,1),(88,1),(90,1),(110,1)}
        98:{3,4,7}:{(83,1),(84,1),(91,1),(104,1),(110,1)}
        99:{3,6}:{(84,1),(85,1)}
       100:{1,2,5,6}:{(85,1),(86,1),(87,1),(103,1),(105,1),(106,1)}
       101:{1,2,4,6}:{(91,1),(92,1),(104,1),(106,1)}
       102:{3,6,7}:{(93,1),(94,1),(99,1),(107,1)}
       103:{1,2,5,7}:{(94,1),(95,1),(96,1),(100,1),(107,1)}
       104:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       105:{3,5,6}:{(99,1),(100,1),(107,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(108,1)}
       107:{3,5,7}:{(102,1),(103,1),(105,1),(110,1)}
       108:{3,5}:{(104,1),(106,1),(111,1)}
       109:{4,6}:{(105,1),(110,1),(111,1)}
       110:{4,7}:{(107,1),(109,1)}
       111:{4,5}:{(108,1),(109,1)}

1040 :   0:{1,2,3,5,7}:{(2,1),(4,1),(6,1),(7,1),(27,1),(29,1),(33,1),(35,1),(38,1),(41,1)}
         1:{3,4,5,7}:{(8,1),(9,1),(10,1),(38,1),(46,1),(84,1),(94,1),(98,1),(151,1),(163,1),(167,1)}
         2:{1,2,3,7}:{(11,1),(12,1),(177,1),(192,1),(219,1)}
         3:{2,3,4,7}:{(11,1),(13,1),(14,1),(19,1),(116,1),(127,1),(177,1)}
         4:{1,2,3,7}:{(15,1),(16,1),(181,1),(188,1),(224,1)}
         5:{1,3,4,7}:{(15,1),(17,1),(18,1),(19,1),(114,1),(128,1),(188,1)}
         6:{1,2,4,7}:{(0,1),(19,1),(21,1),(52,1),(60,1)}
         7:{1,2,3,6}:{(0,1),(21,1),(50,1),(58,1),(65,1)}
         8:{2,4,5,7}:{(1,1),(13,1),(22,1),(55,1),(69,1),(116,1),(130,1),(193,1)}
         9:{1,4,5,7}:{(1,1),(17,1),(23,1),(63,1),(71,1),(118,1),(128,1),(182,1)}
        10:{3,4,6}:{(1,1),(22,1),(23,1),(25,1),(65,1),(134,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(26,1),(27,1),(28,1),(162,1)}
        12:{1,2,3,6}:{(2,1),(28,1),(29,1),(147,1),(205,1)}
        13:{2,3,5,7}:{(3,1),(8,1),(27,1),(30,1),(31,1),(38,1),(161,1),(212,1)}
        14:{2,3,4,6}:{(3,1),(28,1),(30,1),(31,1),(39,1),(81,1),(83,1),(147,1)}
        15:{1,2,4,7}:{(4,1),(5,1),(32,1),(33,1),(34,1),(150,1)}
        16:{1,2,3,6}:{(4,1),(34,1),(35,1),(159,1),(213,1)}
        17:{1,3,5,7}:{(5,1),(9,1),(33,1),(36,1),(37,1),(38,1),(148,1),(203,1)}
        18:{1,3,4,6}:{(5,1),(34,1),(36,1),(37,1),(39,1),(91,1),(93,1),(159,1)}
        19:{3,4,7}:{(6,1),(38,1),(39,1),(81,1),(91,1),(167,1)}
        20:{1,2,4,5,7}:{(6,1),(8,1),(9,1),(27,1),(33,1),(38,1),(40,1),(41,1),(75,1),(80,1),(85,1),(90,1),(98,1),(99,1),(146,1),(158,1),(167,1)}
        21:{1,2,4,6}:{(6,1),(7,1),(39,1),(41,1)}
        22:{2,4,6}:{(8,1),(10,1),(30,1),(43,1)}
        23:{1,4,6}:{(9,1),(10,1),(36,1),(45,1)}
        24:{3,4,6,7}:{(10,1),(42,1),(44,1),(46,1),(96,1),(106,1),(151,1),(163,1),(167,1),(168,1),(170,1)}
        25:{3,5,6}:{(10,1),(43,1),(45,1),(46,1),(47,1)}
        26:{1,3,4,7}:{(11,1),(19,1),(48,1),(49,1),(126,1),(174,1),(177,1)}
        27:{1,2,5,7}:{(11,1),(13,1),(48,1),(50,1),(51,1),(191,1),(224,1)}
        28:{1,2,4,6}:{(11,1),(12,1),(14,1),(49,1),(50,1),(51,1),(52,1)}
        29:{1,2,3,5}:{(12,1),(51,1),(52,1),(113,1),(180,1),(181,1)}
        30:{2,3,6}:{(13,1),(22,1),(50,1),(65,1)}
        31:{2,3,5}:{(14,1),(51,1),(55,1),(66,1),(113,1)}
        32:{2,3,4,7}:{(15,1),(19,1),(56,1),(57,1),(115,1),(185,1),(188,1)}
        33:{1,2,5,7}:{(15,1),(17,1),(56,1),(58,1),(59,1),(180,1),(219,1)}
        34:{1,2,4,6}:{(15,1),(16,1),(18,1),(57,1),(58,1),(59,1),(60,1)}
        35:{1,2,3,5}:{(16,1),(59,1),(60,1),(125,1),(191,1),(192,1)}
        36:{1,3,6}:{(17,1),(23,1),(58,1),(65,1)}
        37:{1,3,5}:{(18,1),(59,1),(63,1),(66,1),(125,1)}
        38:{3,5,7}:{(19,1),(20,1),(65,1),(66,1),(113,1),(125,1),(177,1),(188,1)}
        39:{3,4,6}:{(19,1),(21,1),(65,1),(66,1),(134,1)}
        40:{1,2,4,6}:{(20,1),(22,1),(23,1),(50,1),(58,1),(65,1),(68,1),(107,1),(119,1),(134,1)}
        41:{1,2,5}:{(21,1),(66,1)}
        42:{2,4,6,7}:{(22,1),(24,1),(53,1),(69,1),(116,1),(193,1),(197,1)}
        43:{2,5,6}:{(22,1),(25,1),(69,1)}
        44:{1,4,6,7}:{(23,1),(24,1),(61,1),(71,1),(128,1),(182,1),(196,1)}
        45:{1,5,6}:{(23,1),(25,1),(71,1)}
        46:{3,5,7}:{(24,1),(25,1),(69,1),(71,1),(74,1)}
        47:{4,5,6}:{(25,1),(74,1),(134,1)}
        48:{1,3,5,7}:{(26,1),(27,1),(38,1),(75,1),(76,1),(77,1),(160,1),(211,1)}
        49:{1,3,4,6}:{(26,1),(28,1),(39,1),(76,1),(77,1),(81,1),(144,1),(147,1)}
        50:{1,2,6}:{(27,1),(30,1),(76,1)}
        51:{1,2,5}:{(28,1),(31,1),(77,1)}
        52:{1,2,4}:{(29,1),(81,1)}
        53:{2,3,6,7}:{(30,1),(42,1),(78,1),(82,1),(96,1),(168,1),(212,1)}
        54:{2,3,5,6}:{(30,1),(31,1),(43,1),(79,1),(82,1),(83,1),(97,1),(102,1),(147,1)}
        55:{2,4,5}:{(31,1),(83,1),(84,1),(98,1)}
        56:{2,3,5,7}:{(32,1),(33,1),(38,1),(85,1),(86,1),(87,1),(149,1),(204,1)}
        57:{2,3,4,6}:{(32,1),(34,1),(39,1),(86,1),(87,1),(91,1),(156,1),(159,1)}
        58:{1,2,6}:{(33,1),(36,1),(86,1)}
        59:{1,2,5}:{(34,1),(37,1),(87,1)}
        60:{1,2,4}:{(35,1),(91,1)}
        61:{1,3,6,7}:{(36,1),(44,1),(88,1),(92,1),(96,1),(170,1),(203,1)}
        62:{1,3,5,6}:{(36,1),(37,1),(45,1),(89,1),(92,1),(93,1),(97,1),(105,1),(159,1)}
        63:{1,4,5}:{(37,1),(93,1),(94,1),(98,1)}
        64:{3,4,5,7}:{(38,1),(75,1),(85,1),(95,1),(98,1),(145,1),(157,1),(165,1),(167,1),(201,1),(209,1)}
        65:{3,6}:{(38,1),(40,1)}
        66:{3,5}:{(39,1),(41,1),(98,1)}
        67:{1,2,4,6,7}:{(40,1),(42,1),(44,1),(78,1),(88,1),(96,1),(99,1),(141,1),(146,1),(153,1),(158,1),(167,1)}
        68:{1,2,5,6}:{(40,1),(41,1),(43,1),(45,1),(97,1),(99,1),(142,1),(154,1)}
        69:{2,5,7}:{(42,1),(43,1),(46,1)}
        70:{2,4,5,6}:{(43,1),(47,1),(83,1),(101,1),(102,1)}
        71:{1,5,7}:{(44,1),(45,1),(46,1)}
        72:{1,4,5,6}:{(45,1),(47,1),(93,1),(104,1),(105,1)}
        73:{3,5,6,7}:{(46,1),(100,1),(103,1),(106,1),(168,1),(170,1)}
        74:{4,5,7}:{(46,1),(47,1),(106,1),(167,1)}
        75:{1,4,5,7}:{(48,1),(64,1),(107,1),(110,1),(172,1),(174,1),(187,1),(223,1)}
        76:{1,3,6}:{(48,1),(50,1),(65,1),(107,1)}
        77:{1,3,5}:{(49,1),(51,1),(66,1),(110,1),(113,1)}
        78:{1,2,6,7}:{(50,1),(53,1),(108,1),(111,1),(196,1),(224,1),(229,1)}
        79:{1,2,5,6}:{(50,1),(51,1),(54,1),(109,1),(111,1),(112,1),(137,1),(217,1)}
        80:{1,2,4,5}:{(51,1),(52,1),(55,1),(110,1),(112,1),(113,1),(118,1),(176,1),(180,1)}
        81:{3,4}:{(52,1),(113,1)}
        82:{2,3,5,7}:{(53,1),(54,1),(69,1),(111,1),(116,1),(133,1),(136,1),(177,1)}
        83:{2,4,6}:{(54,1),(55,1),(116,1),(117,1),(134,1)}
        84:{3,4,5}:{(55,1),(113,1),(117,1),(118,1)}
        85:{2,4,5,7}:{(56,1),(64,1),(119,1),(122,1),(176,1),(183,1),(185,1),(218,1)}
        86:{2,3,6}:{(56,1),(58,1),(65,1),(119,1)}
        87:{2,3,5}:{(57,1),(59,1),(66,1),(122,1),(125,1)}
        88:{1,2,6,7}:{(58,1),(61,1),(120,1),(123,1),(197,1),(219,1),(230,1)}
        89:{1,2,5,6}:{(58,1),(59,1),(62,1),(121,1),(123,1),(124,1),(140,1),(222,1)}
        90:{1,2,4,5}:{(59,1),(60,1),(63,1),(122,1),(124,1),(125,1),(130,1),(187,1),(191,1)}
        91:{3,4}:{(60,1),(125,1)}
        92:{1,3,5,7}:{(61,1),(62,1),(71,1),(123,1),(128,1),(133,1),(139,1),(188,1)}
        93:{1,4,6}:{(62,1),(63,1),(128,1),(129,1),(134,1)}
        94:{3,4,5}:{(63,1),(125,1),(129,1),(130,1)}
        95:{3,4,6}:{(64,1),(65,1),(107,1),(119,1),(132,1),(134,1)}
        96:{3,6,7}:{(65,1),(67,1),(133,1),(177,1),(188,1)}
        97:{3,5,6}:{(65,1),(66,1),(68,1),(133,1),(134,1)}
        98:{4,5}:{(66,1),(134,1)}
        99:{1,2,5,7}:{(67,1),(68,1),(69,1),(71,1),(133,1),(172,1),(183,1)}
       100:{2,5,6,7}:{(69,1),(73,1),(135,1),(197,1)}
       101:{2,4,5,7}:{(69,1),(70,1),(74,1),(116,1),(135,1),(136,1)}
       102:{3,5,6}:{(70,1),(117,1),(136,1),(137,1)}
       103:{1,5,6,7}:{(71,1),(73,1),(138,1),(196,1)}
       104:{1,4,5,7}:{(71,1),(72,1),(74,1),(128,1),(138,1),(139,1)}
       105:{3,5,6}:{(72,1),(129,1),(139,1),(140,1)}
       106:{4,6,7}:{(73,1),(74,1)}
       107:{1,4,6}:{(75,1),(76,1),(95,1),(142,1)}
       108:{1,3,6,7}:{(76,1),(78,1),(96,1),(141,1),(143,1),(211,1),(225,1)}
       109:{1,3,5,6}:{(76,1),(77,1),(79,1),(97,1),(142,1),(143,1),(144,1),(147,1),(200,1)}
       110:{1,4,5}:{(77,1),(98,1),(144,1),(145,1)}
       111:{1,2,5,7}:{(78,1),(79,1),(82,1),(143,1),(146,1),(169,1),(226,1)}
       112:{1,2,4,6}:{(79,1),(80,1),(83,1),(144,1),(146,1),(147,1),(152,1),(202,1),(205,1)}
       113:{3,5}:{(80,1),(81,1),(147,1)}
       114:{1,3,4}:{(81,1),(148,1),(150,1)}
       115:{2,3,4}:{(81,1),(149,1),(150,1)}
       116:{2,4,7}:{(82,1),(83,1),(151,1),(167,1)}
       117:{3,4,6}:{(83,1),(84,1),(102,1),(147,1),(151,1),(152,1)}
       118:{1,4,5}:{(84,1),(148,1),(152,1)}
       119:{2,4,6}:{(85,1),(86,1),(95,1),(154,1)}
       120:{2,3,6,7}:{(86,1),(88,1),(96,1),(153,1),(155,1),(204,1),(227,1)}
       121:{2,3,5,6}:{(86,1),(87,1),(89,1),(97,1),(154,1),(155,1),(156,1),(159,1),(208,1)}
       122:{2,4,5}:{(87,1),(98,1),(156,1),(157,1)}
       123:{1,2,5,7}:{(88,1),(89,1),(92,1),(155,1),(158,1),(171,1),(228,1)}
       124:{1,2,4,6}:{(89,1),(90,1),(93,1),(156,1),(158,1),(159,1),(164,1),(210,1),(213,1)}
       125:{3,5}:{(90,1),(91,1),(159,1)}
       126:{1,3,4}:{(91,1),(160,1),(162,1)}
       127:{2,3,4}:{(91,1),(161,1),(162,1)}
       128:{1,4,7}:{(92,1),(93,1),(163,1),(167,1)}
       129:{3,4,6}:{(93,1),(94,1),(105,1),(159,1),(163,1),(164,1)}
       130:{2,4,5}:{(94,1),(161,1),(164,1)}
       131:{3,4,6,7}:{(95,1),(96,1),(141,1),(153,1),(165,1),(167,1),(201,1),(209,1),(214,1),(225,1),(227,1)}
       132:{3,5,6}:{(95,1),(142,1),(154,1),(165,1),(166,1)}
       133:{3,5,7}:{(96,1),(97,1),(99,1),(167,1)}
       134:{4,6}:{(97,1),(98,1),(167,1)}
       135:{2,4,6,7}:{(100,1),(101,1),(106,1),(168,1)}
       136:{3,5,7}:{(101,1),(102,1),(151,1),(168,1),(169,1)}
       137:{1,5,6}:{(102,1),(152,1),(169,1)}
       138:{1,4,6,7}:{(103,1),(104,1),(106,1),(170,1)}
       139:{3,5,7}:{(104,1),(105,1),(163,1),(170,1),(171,1)}
       140:{2,5,6}:{(105,1),(164,1),(171,1)}
       141:{1,4,6,7}:{(107,1),(108,1),(131,1),(172,1),(174,1),(223,1),(230,1)}
       142:{1,5,6}:{(107,1),(132,1),(172,1)}
       143:{1,3,5,7}:{(108,1),(109,1),(111,1),(133,1),(172,1),(174,1),(177,1),(216,1)}
       144:{1,4,6}:{(109,1),(110,1),(134,1),(174,1),(175,1)}
       145:{3,4,5}:{(110,1),(113,1),(175,1),(176,1)}
       146:{1,2,4,7}:{(111,1),(112,1),(116,1),(174,1),(177,1),(182,1),(218,1),(219,1)}
       147:{3,6}:{(112,1),(113,1),(177,1)}
       148:{1,3,5}:{(113,1),(114,1),(118,1),(178,1),(180,1)}
       149:{2,3,5}:{(113,1),(115,1),(176,1),(179,1),(180,1)}
       150:{1,2,4}:{(114,1),(115,1),(180,1),(181,1)}
       151:{3,4,7}:{(116,1),(117,1),(136,1),(177,1),(182,1)}
       152:{1,4,6}:{(117,1),(118,1),(137,1),(178,1),(182,1)}
       153:{2,4,6,7}:{(119,1),(120,1),(131,1),(183,1),(185,1),(218,1),(229,1)}
       154:{2,5,6}:{(119,1),(132,1),(183,1)}
       155:{2,3,5,7}:{(120,1),(121,1),(123,1),(133,1),(183,1),(185,1),(188,1),(221,1)}
       156:{2,4,6}:{(121,1),(122,1),(134,1),(185,1),(186,1)}
       157:{3,4,5}:{(122,1),(125,1),(186,1),(187,1)}
       158:{1,2,4,7}:{(123,1),(124,1),(128,1),(185,1),(188,1),(193,1),(223,1),(224,1)}
       159:{3,6}:{(124,1),(125,1),(188,1)}
       160:{1,3,5}:{(125,1),(126,1),(187,1),(189,1),(191,1)}
       161:{2,3,5}:{(125,1),(127,1),(130,1),(190,1),(191,1)}
       162:{1,2,4}:{(126,1),(127,1),(191,1),(192,1)}
       163:{3,4,7}:{(128,1),(129,1),(139,1),(188,1),(193,1)}
       164:{2,4,6}:{(129,1),(130,1),(140,1),(190,1),(193,1)}
       165:{3,5,7}:{(131,1),(132,1),(172,1),(183,1),(195,1)}
       166:{4,5,6}:{(132,1),(134,1),(195,1)}
       167:{4,7}:{(133,1),(134,1)}
       168:{3,6,7}:{(135,1),(136,1),(196,1)}
       169:{1,5,7}:{(136,1),(137,1),(182,1),(196,1)}
       170:{3,6,7}:{(138,1),(139,1),(197,1)}
       171:{2,5,7}:{(139,1),(140,1),(193,1),(197,1)}
       172:{1,5,7}:{(141,1),(142,1),(165,1)}
       173:{1,4,5,6}:{(142,1),(144,1),(166,1),(199,1),(200,1)}
       174:{1,4,7}:{(143,1),(144,1),(167,1),(201,1)}
       175:{3,4,6}:{(144,1),(145,1),(147,1),(200,1),(201,1),(202,1)}
       176:{2,4,5}:{(145,1),(149,1),(202,1)}
       177:{3,7}:{(146,1),(147,1)}
       178:{1,3,6}:{(147,1),(148,1),(152,1),(203,1),(205,1)}
       179:{2,3,6}:{(147,1),(149,1),(202,1),(204,1),(205,1)}
       180:{1,2,5}:{(148,1),(149,1),(150,1),(205,1)}
       181:{1,2,3}:{(150,1)}
       182:{1,4,7}:{(151,1),(152,1),(169,1),(203,1)}
       183:{2,5,7}:{(153,1),(154,1),(165,1)}
       184:{2,4,5,6}:{(154,1),(156,1),(166,1),(207,1),(208,1)}
       185:{2,4,7}:{(155,1),(156,1),(167,1),(209,1)}
       186:{3,4,6}:{(156,1),(157,1),(159,1),(208,1),(209,1),(210,1)}
       187:{1,4,5}:{(157,1),(160,1),(210,1)}
       188:{3,7}:{(158,1),(159,1)}
       189:{1,3,6}:{(159,1),(160,1),(210,1),(211,1),(213,1)}
       190:{2,3,6}:{(159,1),(161,1),(164,1),(212,1),(213,1)}
       191:{1,2,5}:{(160,1),(161,1),(162,1),(213,1)}
       192:{1,2,3}:{(162,1)}
       193:{2,4,7}:{(163,1),(164,1),(171,1),(212,1)}
       194:{3,5,6,7}:{(165,1),(198,1),(206,1),(214,1),(225,1),(227,1)}
       195:{4,5,7}:{(165,1),(166,1),(167,1),(214,1)}
       196:{1,6,7}:{(168,1),(169,1)}
       197:{2,6,7}:{(170,1),(171,1)}
       198:{1,5,6,7}:{(172,1),(194,1),(215,1),(230,1)}
       199:{1,4,5,7}:{(172,1),(173,1),(174,1),(195,1),(215,1),(216,1)}
       200:{3,5,6}:{(173,1),(175,1),(216,1),(217,1)}
       201:{3,4,7}:{(174,1),(175,1),(177,1),(216,1),(218,1)}
       202:{2,4,6}:{(175,1),(176,1),(179,1),(217,1),(218,1)}
       203:{1,3,7}:{(177,1),(178,1),(182,1),(219,1)}
       204:{2,3,7}:{(177,1),(179,1),(218,1),(219,1)}
       205:{1,2,6}:{(178,1),(179,1),(180,1),(219,1)}
       206:{2,5,6,7}:{(183,1),(194,1),(220,1),(229,1)}
       207:{2,4,5,7}:{(183,1),(184,1),(185,1),(195,1),(220,1),(221,1)}
       208:{3,5,6}:{(184,1),(186,1),(221,1),(222,1)}
       209:{3,4,7}:{(185,1),(186,1),(188,1),(221,1),(223,1)}
       210:{1,4,6}:{(186,1),(187,1),(189,1),(222,1),(223,1)}
       211:{1,3,7}:{(188,1),(189,1),(223,1),(224,1)}
       212:{2,3,7}:{(188,1),(190,1),(193,1),(224,1)}
       213:{1,2,6}:{(189,1),(190,1),(191,1),(224,1)}
       214:{4,6,7}:{(194,1),(195,1)}
       215:{1,4,6,7}:{(198,1),(199,1),(214,1),(225,1)}
       216:{3,5,7}:{(199,1),(200,1),(201,1),(225,1),(226,1)}
       217:{2,5,6}:{(200,1),(202,1),(226,1)}
       218:{2,4,7}:{(201,1),(202,1),(204,1),(226,1)}
       219:{1,2,7}:{(203,1),(204,1),(205,1)}
       220:{2,4,6,7}:{(206,1),(207,1),(214,1),(227,1)}
       221:{3,5,7}:{(207,1),(208,1),(209,1),(227,1),(228,1)}
       222:{1,5,6}:{(208,1),(210,1),(228,1)}
       223:{1,4,7}:{(209,1),(210,1),(211,1),(228,1)}
       224:{1,2,7}:{(211,1),(212,1),(213,1)}
       225:{3,6,7}:{(215,1),(216,1),(229,1)}
       226:{2,5,7}:{(216,1),(217,1),(218,1),(229,1)}
       227:{3,6,7}:{(220,1),(221,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(223,1),(230,1)}
       229:{2,6,7}:{(225,1),(226,1)}
       230:{1,6,7}:{(227,1),(228,1)}

1041 :   0:{1,2,3,5}:{(2,1),(4,1),(6,1),(7,1),(24,1),(27,1),(30,1),(32,1)}
         1:{3,4,5}:{(8,1),(9,1),(10,1),(30,1),(64,1)}
         2:{1,2,3}:{(11,1)}
         3:{2,3,4}:{(11,1),(12,1),(15,1)}
         4:{1,2,3}:{(13,1)}
         5:{1,3,4}:{(13,1),(14,1),(15,1)}
         6:{1,2,3,6}:{(0,1),(16,1),(17,1),(41,1),(44,1),(49,1)}
         7:{1,2,4}:{(0,1),(15,1)}
         8:{2,4,5}:{(1,1),(12,1),(19,1)}
         9:{1,4,5}:{(1,1),(14,1),(20,1)}
        10:{3,4,6}:{(1,1),(19,1),(20,1),(21,1),(22,1),(49,1),(80,1)}
        11:{1,2,4}:{(2,1),(3,1),(23,1),(24,1)}
        12:{2,3,5}:{(3,1),(8,1),(24,1),(25,1),(30,1)}
        13:{1,2,4}:{(4,1),(5,1),(26,1),(27,1)}
        14:{1,3,5}:{(5,1),(9,1),(27,1),(28,1),(30,1)}
        15:{3,4}:{(7,1),(30,1)}
        16:{1,2,3,7}:{(6,1),(31,1),(59,1),(62,1),(67,1)}
        17:{1,2,4,6}:{(6,1),(7,1),(29,1),(31,1),(32,1),(68,1)}
        18:{1,2,4,5}:{(7,1),(8,1),(9,1),(24,1),(27,1),(30,1),(32,1),(33,1),(57,1),(60,1),(64,1)}
        19:{2,4,6}:{(8,1),(10,1),(25,1),(34,1),(35,1)}
        20:{1,4,6}:{(9,1),(10,1),(28,1),(36,1),(37,1)}
        21:{3,5,6}:{(10,1),(34,1),(36,1),(38,1),(39,1)}
        22:{3,4,7}:{(10,1),(35,1),(37,1),(39,1),(67,1),(92,1)}
        23:{1,3,4}:{(11,1),(15,1),(40,1)}
        24:{1,2,5}:{(11,1),(12,1),(40,1),(41,1)}
        25:{2,3,6}:{(12,1),(19,1),(41,1),(42,1),(49,1)}
        26:{2,3,4}:{(13,1),(15,1),(43,1)}
        27:{1,2,5}:{(13,1),(14,1),(43,1),(44,1)}
        28:{1,3,6}:{(14,1),(20,1),(44,1),(45,1),(49,1)}
        29:{3,4,6}:{(15,1),(17,1),(47,1),(48,1),(49,1),(80,1),(81,1)}
        30:{3,5}:{(15,1),(18,1),(49,1)}
        31:{1,2,4,7}:{(16,1),(17,1),(47,1),(50,1)}
        32:{1,2,5}:{(17,1),(48,1)}
        33:{1,2,4,6}:{(18,1),(19,1),(20,1),(41,1),(44,1),(49,1),(51,1),(52,1),(73,1),(75,1),(80,1)}
        34:{2,5,6}:{(19,1),(21,1),(53,1)}
        35:{2,4,7}:{(19,1),(22,1),(42,1),(53,1)}
        36:{1,5,6}:{(20,1),(21,1),(54,1)}
        37:{1,4,7}:{(20,1),(22,1),(45,1),(54,1)}
        38:{4,5,6}:{(21,1),(55,1),(80,1),(98,1)}
        39:{3,5,7}:{(21,1),(22,1),(53,1),(54,1),(55,1),(56,1)}
        40:{1,3,5}:{(23,1),(24,1),(30,1),(57,1),(58,1)}
        41:{1,2,6}:{(24,1),(25,1),(58,1),(59,1)}
        42:{2,3,7}:{(25,1),(35,1),(59,1),(67,1)}
        43:{2,3,5}:{(26,1),(27,1),(30,1),(60,1),(61,1)}
        44:{1,2,6}:{(27,1),(28,1),(61,1),(62,1)}
        45:{1,3,7}:{(28,1),(37,1),(62,1),(67,1)}
        46:{3,4,5}:{(30,1),(57,1),(60,1),(63,1),(64,1)}
        47:{3,4,7}:{(29,1),(31,1),(65,1),(67,1),(92,1)}
        48:{3,5}:{(29,1),(32,1),(64,1)}
        49:{3,6}:{(30,1),(33,1),(67,1)}
        50:{1,2,5,7}:{(31,1),(32,1),(65,1),(68,1)}
        51:{1,2,5,6}:{(32,1),(33,1),(34,1),(36,1),(66,1),(68,1),(69,1),(85,1),(87,1)}
        52:{1,2,4,7}:{(33,1),(35,1),(37,1),(59,1),(62,1),(67,1),(69,1),(86,1),(88,1),(92,1)}
        53:{2,5,7}:{(34,1),(35,1),(39,1),(70,1)}
        54:{1,5,7}:{(36,1),(37,1),(39,1),(71,1)}
        55:{4,5,7}:{(38,1),(39,1),(72,1),(92,1),(103,1)}
        56:{3,6,7}:{(39,1),(70,1),(71,1),(72,1)}
        57:{1,4,5}:{(40,1),(46,1),(73,1)}
        58:{1,3,6}:{(40,1),(41,1),(49,1),(73,1),(74,1)}
        59:{1,2,7}:{(41,1),(42,1),(74,1)}
        60:{2,4,5}:{(43,1),(46,1),(75,1)}
        61:{2,3,6}:{(43,1),(44,1),(49,1),(75,1),(76,1)}
        62:{1,2,7}:{(44,1),(45,1),(76,1)}
        63:{3,4,6}:{(46,1),(49,1),(73,1),(75,1),(77,1),(78,1),(80,1)}
        64:{4,5}:{(48,1),(80,1)}
        65:{3,5,7}:{(47,1),(48,1),(50,1),(79,1),(81,1)}
        66:{3,5,6}:{(48,1),(49,1),(51,1),(80,1),(81,1),(82,1),(98,1)}
        67:{3,7}:{(49,1),(52,1)}
        68:{1,2,6}:{(50,1),(81,1)}
        69:{1,2,5,7}:{(51,1),(52,1),(53,1),(54,1),(82,1),(83,1),(94,1),(95,1)}
        70:{2,6,7}:{(53,1),(56,1)}
        71:{1,6,7}:{(54,1),(56,1)}
        72:{4,6,7}:{(55,1),(56,1),(84,1)}
        73:{1,4,6}:{(57,1),(58,1),(63,1),(85,1),(86,1)}
        74:{1,3,7}:{(58,1),(59,1),(67,1),(86,1)}
        75:{2,4,6}:{(60,1),(61,1),(63,1),(87,1),(88,1)}
        76:{2,3,7}:{(61,1),(62,1),(67,1),(88,1)}
        77:{3,5,6}:{(63,1),(85,1),(87,1),(89,1),(90,1)}
        78:{3,4,7}:{(63,1),(67,1),(86,1),(88,1),(90,1),(92,1)}
        79:{4,5,7}:{(64,1),(65,1),(91,1),(92,1),(103,1)}
        80:{4,6}:{(64,1),(66,1),(92,1)}
        81:{3,6}:{(65,1),(68,1),(91,1)}
        82:{3,5,7}:{(66,1),(67,1),(69,1),(92,1),(93,1),(103,1)}
        83:{1,2,6,7}:{(68,1),(69,1),(70,1),(71,1),(93,1),(100,1),(101,1)}
        84:{5,6,7}:{(72,1),(103,1)}
        85:{1,5,6}:{(73,1),(77,1),(94,1)}
        86:{1,4,7}:{(73,1),(74,1),(78,1),(94,1)}
        87:{2,5,6}:{(75,1),(77,1),(95,1)}
        88:{2,4,7}:{(75,1),(76,1),(78,1),(95,1)}
        89:{4,5,6}:{(77,1),(80,1),(96,1),(98,1)}
        90:{3,5,7}:{(77,1),(78,1),(94,1),(95,1),(96,1),(97,1)}
        91:{4,6}:{(79,1),(81,1),(98,1)}
        92:{4,7}:{(80,1),(82,1)}
        93:{3,6,7}:{(81,1),(82,1),(83,1),(99,1)}
        94:{1,5,7}:{(85,1),(86,1),(90,1),(100,1)}
        95:{2,5,7}:{(87,1),(88,1),(90,1),(101,1)}
        96:{4,5,7}:{(89,1),(90,1),(92,1),(102,1),(103,1)}
        97:{3,6,7}:{(90,1),(100,1),(101,1),(102,1)}
        98:{5,6}:{(91,1),(103,1)}
        99:{4,6,7}:{(91,1),(92,1),(93,1),(103,1)}
       100:{1,6,7}:{(94,1),(97,1)}
       101:{2,6,7}:{(95,1),(97,1)}
       102:{4,6,7}:{(96,1),(97,1),(104,1)}
       103:{5,7}:{(98,1),(99,1)}
       104:{5,6,7}:{(102,1),(103,1)}

1042 :   0:{1,4,5,6,7}:{(1,1),(6,1),(183,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(4,1),(196,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(26,1),(181,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(21,1),(26,1),(144,1)}
         4:{2,5,6,7}:{(1,1),(7,1),(204,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(11,1),(12,1),(36,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(11,1),(165,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(12,1),(14,1),(194,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(15,1),(16,1),(34,1),(73,1),(119,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(44,1),(173,1),(181,1)}
        10:{1,3,4,5,7}:{(19,1),(20,1),(21,1),(51,1),(81,1),(84,1),(91,1),(131,1),(139,1),(143,1)}
        11:{1,4,5,7}:{(5,1),(6,1),(17,1),(21,1)}
        12:{2,4,5,7}:{(5,1),(7,1),(18,1),(22,1)}
        13:{1,3,4,6,7}:{(6,1),(19,1),(21,1),(24,1),(26,1),(51,1),(54,1)}
        14:{2,3,6,7}:{(7,1),(22,1),(25,1),(26,1),(179,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(23,1),(25,1),(26,1),(27,1),(54,1),(140,1)}
        16:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(49,1),(55,1),(95,1)}
        17:{1,4,5,6}:{(9,1),(11,1),(28,1),(155,1),(165,1)}
        18:{2,4,5,6}:{(9,1),(12,1),(29,1),(188,1),(194,1)}
        19:{1,3,4,6}:{(10,1),(28,1),(31,1),(61,1),(116,1),(163,1),(165,1)}
        20:{1,2,4,5,7}:{(10,1),(31,1),(32,1),(34,1),(64,1),(68,1),(102,1),(106,1)}
        21:{1,3,5,7}:{(11,1),(13,1),(28,1),(34,1),(36,1),(73,1)}
        22:{2,3,5,7}:{(12,1),(14,1),(29,1),(33,1),(35,1),(36,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(15,1),(30,1),(34,1),(35,1),(36,1),(40,1),(68,1),(69,1),(73,1)}
        24:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(37,1),(68,1)}
        25:{1,2,6,7}:{(14,1),(35,1),(38,1),(160,1)}
        26:{3,6,7}:{(15,1),(36,1),(163,1)}
        27:{2,4,6,7}:{(16,1),(39,1),(40,1),(68,1),(115,1)}
        28:{1,3,5,6}:{(17,1),(19,1),(21,1),(42,1),(44,1),(96,1),(131,1)}
        29:{2,3,5,6}:{(18,1),(22,1),(41,1),(43,1),(44,1),(170,1),(179,1)}
        30:{1,2,4,5,6}:{(17,1),(18,1),(23,1),(42,1),(43,1),(44,1),(56,1),(79,1),(80,1),(96,1),(127,1),(140,1)}
        31:{1,2,4,6}:{(19,1),(20,1),(42,1),(45,1),(79,1)}
        32:{2,3,5,7}:{(20,1),(45,1),(47,1),(83,1),(139,1)}
        33:{2,3,4,7}:{(22,1),(41,1),(48,1),(51,1)}
        34:{1,2,5,7}:{(21,1),(24,1),(42,1),(49,1)}
        35:{1,2,5,7}:{(22,1),(25,1),(43,1),(48,1),(50,1)}
        36:{3,5,7}:{(23,1),(26,1),(44,1),(51,1)}
        37:{2,3,6,7}:{(24,1),(26,1),(45,1),(49,1)}
        38:{1,3,6,7}:{(25,1),(26,1),(50,1),(54,1),(138,1)}
        39:{3,4,6,7}:{(26,1),(27,1),(51,1),(54,1),(55,1),(92,1)}
        40:{2,4,5,7}:{(27,1),(55,1),(56,1)}
        41:{2,3,4,6}:{(29,1),(33,1),(57,1),(58,1),(61,1)}
        42:{1,2,5,6}:{(28,1),(31,1),(34,1),(59,1),(106,1)}
        43:{1,2,5,6}:{(29,1),(35,1),(58,1),(60,1),(149,1),(160,1)}
        44:{3,5,6}:{(30,1),(36,1),(61,1),(151,1),(163,1)}
        45:{2,3,6}:{(31,1),(32,1),(163,1)}
        46:{1,2,3,5,7}:{(32,1),(62,1),(64,1),(106,1),(108,1)}
        47:{2,3,4,7}:{(32,1),(63,1),(64,1),(68,1),(113,1)}
        48:{1,2,4,7}:{(33,1),(35,1),(58,1),(66,1),(69,1)}
        49:{2,3,5,7}:{(34,1),(36,1),(37,1),(59,1),(68,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(38,1),(60,1),(66,1),(69,1),(73,1)}
        51:{3,4,7}:{(36,1),(61,1),(68,1),(69,1)}
        52:{1,2,3,6,7}:{(37,1),(38,1),(62,1),(67,1),(71,1),(158,1),(160,1),(163,1),(195,1)}
        53:{2,3,4,6,7}:{(37,1),(39,1),(63,1),(68,1),(71,1),(72,1),(113,1),(115,1),(163,1)}
        54:{1,4,6,7}:{(38,1),(39,1),(69,1),(73,1),(116,1)}
        55:{3,5,7}:{(39,1),(40,1),(73,1),(74,1)}
        56:{2,4,5,6}:{(40,1),(74,1),(115,1)}
        57:{2,3,4,5}:{(41,1),(76,1),(81,1),(167,1),(170,1)}
        58:{1,2,4,6}:{(41,1),(43,1),(48,1),(76,1),(77,1),(80,1)}
        59:{2,3,5,6}:{(42,1),(44,1),(45,1),(49,1),(79,1),(83,1)}
        60:{1,3,5,6}:{(43,1),(44,1),(50,1),(77,1),(80,1),(96,1),(125,1),(138,1)}
        61:{3,4,6}:{(44,1),(51,1),(79,1),(80,1),(81,1)}
        62:{1,2,3,6}:{(45,1),(46,1),(82,1),(134,1)}
        63:{2,3,4,6}:{(45,1),(47,1),(79,1),(82,1),(83,1),(126,1)}
        64:{1,2,4,7}:{(46,1),(47,1),(82,1),(84,1)}
        65:{2,3,4,5,7}:{(47,1),(83,1),(85,1),(86,1),(90,1),(133,1),(139,1),(173,1),(178,1),(203,1)}
        66:{1,3,7}:{(48,1),(77,1)}
        67:{1,2,3,5,7}:{(49,1),(50,1),(52,1),(78,1),(87,1),(89,1),(94,1),(137,1),(139,1),(177,1),(202,1)}
        68:{2,4,7}:{(49,1),(51,1),(79,1)}
        69:{1,4,7}:{(50,1),(51,1),(80,1)}
        70:{3,4,5,7}:{(51,1),(55,1),(81,1),(90,1),(91,1),(92,1),(139,1)}
        71:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(82,1),(89,1),(93,1),(94,1),(140,1),(205,1)}
        72:{2,3,5,7}:{(53,1),(55,1),(83,1),(90,1),(94,1),(95,1),(139,1)}
        73:{1,5,7}:{(54,1),(55,1),(96,1)}
        74:{3,5,6}:{(55,1),(56,1),(92,1),(96,1)}
        75:{2,4,5,6,7}:{(56,1),(97,1),(141,1)}
        76:{1,2,4,5}:{(57,1),(58,1),(98,1),(103,1),(146,1),(149,1)}
        77:{1,3,6}:{(58,1),(66,1),(98,1)}
        78:{1,2,3,5,6}:{(59,1),(60,1),(62,1),(67,1),(99,1),(101,1),(106,1),(119,1),(149,1),(151,1),(156,1),(160,1),(163,1),(189,1)}
        79:{2,4,6}:{(59,1),(61,1),(68,1),(102,1)}
        80:{1,4,6}:{(60,1),(61,1),(69,1),(103,1)}
        81:{3,4,5}:{(61,1),(102,1),(103,1),(151,1)}
        82:{1,2,4,6}:{(62,1),(63,1),(64,1),(105,1),(106,1)}
        83:{2,3,5}:{(63,1),(102,1),(106,1),(151,1)}
        84:{1,3,4,7}:{(64,1),(105,1),(108,1),(113,1),(193,1)}
        85:{1,2,4,5,7}:{(64,1),(65,1),(106,1),(108,1),(109,1),(155,1),(157,1),(193,1)}
        86:{2,3,4,6}:{(65,1),(107,1),(109,1),(115,1),(163,1),(191,1),(194,1)}
        87:{1,2,3,7}:{(66,1),(99,1),(111,1),(207,1)}
        88:{1,3,4,7}:{(66,1),(69,1),(100,1),(111,1),(112,1),(113,1)}
        89:{1,2,4,7}:{(67,1),(68,1),(69,1),(101,1),(113,1),(193,1),(208,1)}
        90:{2,4,5,7}:{(68,1),(70,1),(72,1),(102,1),(115,1)}
        91:{1,4,5,7}:{(69,1),(70,1),(73,1),(103,1),(112,1),(116,1)}
        92:{3,4,6}:{(70,1),(74,1),(115,1),(116,1),(163,1)}
        93:{1,3,4,6,7}:{(71,1),(105,1),(113,1),(118,1),(158,1),(163,1),(165,1),(193,1),(197,1)}
        94:{1,2,5,7}:{(71,1),(72,1),(73,1),(106,1),(118,1),(119,1),(209,1)}
        95:{2,3,5,6}:{(72,1),(74,1),(115,1),(119,1),(163,1)}
        96:{1,5,6}:{(73,1),(74,1),(116,1)}
        97:{3,5,6,7}:{(74,1),(75,1),(117,1),(121,1)}
        98:{1,3,5}:{(76,1),(77,1),(123,1)}
        99:{1,2,3,6}:{(77,1),(87,1),(122,1),(124,1),(199,1)}
       100:{1,3,4,6}:{(77,1),(80,1),(88,1),(123,1),(124,1),(125,1),(126,1),(138,1)}
       101:{1,2,4,6}:{(78,1),(79,1),(80,1),(89,1),(126,1),(127,1),(176,1),(201,1)}
       102:{2,4,5}:{(79,1),(81,1),(83,1)}
       103:{1,4,5}:{(80,1),(81,1),(125,1)}
       104:{3,4,5,6}:{(81,1),(92,1),(128,1),(129,1),(130,1),(174,1)}
       105:{1,3,4,6}:{(82,1),(84,1),(126,1),(131,1),(134,1),(176,1)}
       106:{1,2,5}:{(82,1),(83,1),(131,1)}
       107:{2,3,5,6}:{(83,1),(86,1),(128,1),(132,1),(133,1),(174,1),(204,1)}
       108:{1,3,5,7}:{(84,1),(85,1),(131,1),(134,1),(139,1)}
       109:{1,2,4,6}:{(85,1),(86,1),(132,1),(134,1),(176,1)}
       110:{2,3,4,6,7}:{(86,1),(133,1),(135,1),(141,1),(182,1),(203,1),(205,1)}
       111:{1,2,4,7}:{(87,1),(88,1),(124,1),(136,1),(137,1)}
       112:{1,3,5,7}:{(88,1),(91,1),(125,1),(137,1),(138,1),(139,1)}
       113:{3,4,7}:{(89,1),(126,1),(139,1)}
       114:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(127,1),(137,1),(139,1),(140,1),(143,1),(178,1)}
       115:{2,4,6}:{(90,1),(92,1),(95,1)}
       116:{1,4,6}:{(91,1),(92,1),(96,1),(138,1)}
       117:{3,4,6,7}:{(92,1),(97,1),(130,1),(141,1),(142,1),(182,1)}
       118:{1,3,5,7}:{(93,1),(94,1),(131,1),(139,1),(143,1),(144,1),(206,1)}
       119:{1,2,5,6}:{(94,1),(95,1),(96,1),(140,1),(144,1),(204,1)}
       120:{2,3,5,6,7}:{(95,1),(97,1),(133,1),(141,1),(145,1),(182,1)}
       121:{1,5,6,7}:{(96,1),(97,1),(142,1)}
       122:{1,2,3,5}:{(98,1),(99,1),(146,1),(149,1),(185,1)}
       123:{1,3,4}:{(98,1),(146,1)}
       124:{1,2,4,6}:{(99,1),(100,1),(111,1),(146,1),(148,1),(149,1),(160,1)}
       125:{1,3,5}:{(100,1),(103,1),(149,1),(151,1)}
       126:{3,4,6}:{(101,1),(113,1),(151,1),(163,1)}
       127:{1,2,4,5}:{(101,1),(102,1),(103,1),(106,1),(149,1),(151,1),(155,1),(188,1)}
       128:{2,4,5,6}:{(102,1),(104,1),(107,1),(115,1),(153,1)}
       129:{1,4,5,6}:{(103,1),(104,1),(116,1),(150,1),(154,1)}
       130:{3,4,5,7}:{(104,1),(117,1),(153,1),(154,1),(192,1)}
       131:{1,3,5}:{(105,1),(106,1),(151,1),(155,1)}
       132:{1,2,5,6}:{(106,1),(107,1),(109,1),(156,1),(157,1)}
       133:{2,3,5,7}:{(107,1),(110,1),(153,1),(157,1),(192,1),(209,1)}
       134:{1,3,6}:{(108,1),(109,1),(163,1)}
       135:{1,2,4,6,7}:{(109,1),(110,1),(157,1),(158,1),(193,1)}
       136:{2,3,4,7}:{(111,1),(113,1),(148,1),(159,1),(207,1),(208,1)}
       137:{1,2,5,7}:{(111,1),(112,1),(149,1),(159,1),(160,1)}
       138:{1,3,6}:{(112,1),(116,1),(160,1),(163,1)}
       139:{3,5,7}:{(113,1),(114,1),(151,1),(163,1)}
       140:{1,2,4,6}:{(114,1),(115,1),(116,1),(119,1),(160,1),(163,1),(165,1),(194,1)}
       141:{2,4,6,7}:{(115,1),(117,1),(120,1),(153,1)}
       142:{1,4,6,7}:{(116,1),(117,1),(121,1),(154,1),(161,1)}
       143:{1,4,5,7}:{(118,1),(155,1),(162,1),(165,1),(193,1)}
       144:{1,3,5,6}:{(118,1),(119,1),(163,1),(165,1),(196,1)}
       145:{1,2,5,6,7}:{(119,1),(120,1),(121,1),(157,1),(164,1),(166,1),(209,1)}
       146:{1,2,4}:{(122,1),(123,1),(167,1)}
       147:{1,3,4,5}:{(123,1),(125,1),(168,1),(169,1),(173,1)}
       148:{2,3,4,6}:{(124,1),(126,1),(136,1),(167,1),(170,1),(179,1),(199,1),(201,1)}
       149:{1,2,5}:{(124,1),(125,1),(170,1)}
       150:{1,3,5,6}:{(125,1),(129,1),(138,1),(169,1),(171,1),(172,1),(174,1)}
       151:{3,5}:{(126,1),(127,1)}
       152:{1,2,4,5,6}:{(127,1),(128,1),(129,1),(132,1),(140,1),(171,1),(174,1),(175,1),(176,1),(183,1),(201,1),(204,1)}
       153:{2,4,5,7}:{(128,1),(130,1),(133,1),(141,1)}
       154:{1,4,5,7}:{(129,1),(130,1),(142,1),(172,1)}
       155:{1,4,5}:{(131,1),(173,1),(176,1)}
       156:{1,3,5,6}:{(131,1),(132,1),(134,1),(174,1),(176,1),(177,1)}
       157:{1,2,5,7}:{(132,1),(133,1),(135,1),(177,1)}
       158:{1,3,6,7}:{(134,1),(135,1),(177,1),(182,1)}
       159:{2,3,5,7}:{(136,1),(137,1),(139,1),(170,1),(178,1),(179,1)}
       160:{1,2,6}:{(137,1),(138,1),(179,1)}
       161:{1,3,6,7}:{(138,1),(142,1),(172,1),(180,1),(182,1)}
       162:{3,4,5,7}:{(139,1),(143,1),(173,1),(178,1),(181,1),(203,1),(206,1)}
       163:{3,6}:{(139,1),(140,1)}
       164:{1,2,4,6,7}:{(140,1),(141,1),(142,1),(145,1),(175,1),(180,1),(182,1),(184,1),(205,1)}
       165:{1,4,6}:{(143,1),(144,1),(181,1)}
       166:{1,3,5,6,7}:{(144,1),(145,1),(177,1),(182,1),(184,1),(206,1)}
       167:{2,3,4}:{(146,1),(185,1)}
       168:{1,2,4,5}:{(146,1),(147,1),(149,1),(185,1),(186,1),(188,1)}
       169:{1,3,4,6}:{(147,1),(150,1),(186,1),(187,1),(191,1)}
       170:{2,3,5}:{(148,1),(149,1),(151,1),(188,1)}
       171:{1,2,5,6}:{(149,1),(150,1),(160,1),(186,1),(189,1),(190,1)}
       172:{1,3,5,7}:{(150,1),(154,1),(161,1),(187,1),(190,1),(192,1)}
       173:{3,4,5}:{(151,1),(155,1),(188,1),(191,1)}
       174:{3,5,6}:{(151,1),(152,1),(163,1),(191,1),(192,1)}
       175:{1,2,4,5,7}:{(152,1),(153,1),(154,1),(157,1),(164,1),(190,1),(192,1),(193,1),(198,1),(208,1),(209,1)}
       176:{1,4,6}:{(155,1),(156,1),(191,1),(193,1)}
       177:{1,3,5,7}:{(156,1),(157,1),(158,1),(192,1),(193,1)}
       178:{2,4,5,7}:{(159,1),(162,1),(188,1),(194,1),(208,1),(209,1)}
       179:{2,3,6}:{(159,1),(160,1),(163,1),(194,1)}
       180:{1,2,6,7}:{(160,1),(161,1),(190,1),(195,1)}
       181:{3,4,6}:{(162,1),(163,1),(165,1),(194,1),(196,1)}
       182:{3,6,7}:{(163,1),(164,1),(192,1)}
       183:{1,4,5,6}:{(165,1),(196,1),(198,1)}
       184:{1,4,6,7}:{(165,1),(166,1),(193,1),(197,1),(198,1)}
       185:{2,3,5}:{(167,1),(168,1),(199,1)}
       186:{1,2,4,6}:{(168,1),(169,1),(171,1),(199,1),(200,1),(201,1)}
       187:{1,3,4,7}:{(169,1),(172,1),(200,1),(203,1)}
       188:{2,4,5}:{(170,1),(173,1),(201,1)}
       189:{2,3,5,6}:{(170,1),(171,1),(174,1),(179,1),(199,1),(201,1),(202,1),(204,1)}
       190:{1,2,5,7}:{(171,1),(172,1),(180,1),(200,1),(202,1)}
       191:{3,4,6}:{(173,1),(174,1),(176,1),(201,1),(203,1)}
       192:{3,5,7}:{(174,1),(175,1),(182,1),(203,1)}
       193:{1,4,7}:{(176,1),(177,1),(203,1)}
       194:{2,4,6}:{(178,1),(179,1),(181,1),(204,1)}
       195:{2,3,6,7}:{(179,1),(180,1),(182,1),(202,1),(205,1)}
       196:{3,5,6}:{(181,1),(183,1),(204,1),(206,1)}
       197:{3,4,6,7}:{(181,1),(182,1),(184,1),(203,1),(205,1),(206,1)}
       198:{1,4,5,7}:{(183,1),(184,1),(206,1)}
       199:{2,3,6}:{(185,1),(186,1),(207,1)}
       200:{1,2,4,7}:{(186,1),(187,1),(190,1),(207,1),(208,1)}
       201:{2,4,6}:{(188,1),(189,1),(191,1),(208,1)}
       202:{2,3,5,7}:{(189,1),(190,1),(192,1),(195,1),(207,1),(208,1),(209,1)}
       203:{3,4,7}:{(191,1),(192,1),(193,1),(208,1)}
       204:{2,5,6}:{(194,1),(196,1),(209,1)}
       205:{2,4,6,7}:{(194,1),(195,1),(197,1),(208,1),(209,1)}
       206:{3,5,7}:{(196,1),(197,1),(198,1),(209,1)}
       207:{2,3,7}:{(199,1),(200,1)}
       208:{2,4,7}:{(201,1),(202,1),(203,1)}
       209:{2,5,7}:{(204,1),(205,1),(206,1)}

1043 :   0:{2,4,5,6,7}:{(1,1),(7,1),(183,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(196,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(26,1),(181,1)}
         3:{1,5,6,7}:{(1,1),(6,1),(204,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(22,1),(26,1),(144,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(11,1),(12,1),(36,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(11,1),(13,1),(194,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(12,1),(165,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(15,1),(16,1),(35,1),(72,1),(119,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(44,1),(173,1),(181,1)}
        10:{2,3,4,5,7}:{(19,1),(20,1),(22,1),(51,1),(81,1),(84,1),(90,1),(131,1),(139,1),(143,1)}
        11:{1,4,5,7}:{(5,1),(6,1),(17,1),(21,1)}
        12:{2,4,5,7}:{(5,1),(7,1),(18,1),(22,1)}
        13:{1,3,6,7}:{(6,1),(21,1),(24,1),(26,1),(179,1)}
        14:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(25,1),(26,1),(51,1),(53,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(23,1),(24,1),(26,1),(27,1),(53,1),(140,1)}
        16:{1,3,5,6,7}:{(8,1),(26,1),(27,1),(50,1),(55,1),(96,1)}
        17:{1,4,5,6}:{(9,1),(11,1),(28,1),(188,1),(194,1)}
        18:{2,4,5,6}:{(9,1),(12,1),(29,1),(155,1),(165,1)}
        19:{2,3,4,6}:{(10,1),(29,1),(31,1),(61,1),(115,1),(163,1),(165,1)}
        20:{1,2,4,5,7}:{(10,1),(31,1),(32,1),(35,1),(64,1),(69,1),(103,1),(106,1)}
        21:{1,3,5,7}:{(11,1),(13,1),(28,1),(33,1),(34,1),(36,1)}
        22:{2,3,5,7}:{(12,1),(14,1),(29,1),(35,1),(36,1),(72,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(15,1),(30,1),(34,1),(35,1),(36,1),(40,1),(68,1),(69,1),(72,1)}
        24:{1,2,6,7}:{(13,1),(34,1),(37,1),(160,1)}
        25:{1,2,4,6,7}:{(14,1),(31,1),(35,1),(38,1),(69,1)}
        26:{3,6,7}:{(15,1),(36,1),(163,1)}
        27:{1,4,6,7}:{(16,1),(39,1),(40,1),(69,1),(116,1)}
        28:{1,3,5,6}:{(17,1),(21,1),(41,1),(42,1),(44,1),(170,1),(179,1)}
        29:{2,3,5,6}:{(18,1),(19,1),(22,1),(43,1),(44,1),(95,1),(131,1)}
        30:{1,2,4,5,6}:{(17,1),(18,1),(23,1),(42,1),(43,1),(44,1),(56,1),(79,1),(80,1),(95,1),(127,1),(140,1)}
        31:{1,2,4,6}:{(19,1),(20,1),(43,1),(45,1),(80,1)}
        32:{1,3,5,7}:{(20,1),(45,1),(47,1),(83,1),(139,1)}
        33:{1,3,4,7}:{(21,1),(41,1),(48,1),(51,1)}
        34:{1,2,5,7}:{(21,1),(24,1),(42,1),(48,1),(49,1)}
        35:{1,2,5,7}:{(22,1),(25,1),(43,1),(50,1)}
        36:{3,5,7}:{(23,1),(26,1),(44,1),(51,1)}
        37:{2,3,6,7}:{(24,1),(26,1),(49,1),(53,1),(138,1)}
        38:{1,3,6,7}:{(25,1),(26,1),(45,1),(50,1)}
        39:{3,4,6,7}:{(26,1),(27,1),(51,1),(53,1),(55,1),(92,1)}
        40:{1,4,5,7}:{(27,1),(55,1),(56,1)}
        41:{1,3,4,6}:{(28,1),(33,1),(57,1),(58,1),(61,1)}
        42:{1,2,5,6}:{(28,1),(34,1),(58,1),(59,1),(149,1),(160,1)}
        43:{1,2,5,6}:{(29,1),(31,1),(35,1),(60,1),(106,1)}
        44:{3,5,6}:{(30,1),(36,1),(61,1),(151,1),(163,1)}
        45:{1,3,6}:{(31,1),(32,1),(163,1)}
        46:{1,2,3,5,7}:{(32,1),(62,1),(64,1),(106,1),(108,1)}
        47:{1,3,4,7}:{(32,1),(63,1),(64,1),(69,1),(113,1)}
        48:{1,2,4,7}:{(33,1),(34,1),(58,1),(66,1),(68,1)}
        49:{2,3,5,7}:{(34,1),(36,1),(37,1),(59,1),(66,1),(68,1),(72,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(38,1),(60,1),(69,1)}
        51:{3,4,7}:{(36,1),(61,1),(68,1),(69,1)}
        52:{1,2,3,6,7}:{(37,1),(38,1),(62,1),(67,1),(71,1),(158,1),(160,1),(163,1),(195,1)}
        53:{2,4,6,7}:{(37,1),(39,1),(68,1),(72,1),(115,1)}
        54:{1,3,4,6,7}:{(38,1),(39,1),(63,1),(69,1),(71,1),(73,1),(113,1),(116,1),(163,1)}
        55:{3,5,7}:{(39,1),(40,1),(72,1),(74,1)}
        56:{1,4,5,6}:{(40,1),(74,1),(116,1)}
        57:{1,3,4,5}:{(41,1),(76,1),(81,1),(167,1),(170,1)}
        58:{1,2,4,6}:{(41,1),(42,1),(48,1),(76,1),(77,1),(79,1)}
        59:{2,3,5,6}:{(42,1),(44,1),(49,1),(77,1),(79,1),(95,1),(125,1),(138,1)}
        60:{1,3,5,6}:{(43,1),(44,1),(45,1),(50,1),(80,1),(83,1)}
        61:{3,4,6}:{(44,1),(51,1),(79,1),(80,1),(81,1)}
        62:{1,2,3,6}:{(45,1),(46,1),(82,1),(134,1)}
        63:{1,3,4,6}:{(45,1),(47,1),(80,1),(82,1),(83,1),(126,1)}
        64:{1,2,4,7}:{(46,1),(47,1),(82,1),(84,1)}
        65:{1,3,4,5,7}:{(47,1),(83,1),(85,1),(86,1),(91,1),(133,1),(139,1),(173,1),(178,1),(203,1)}
        66:{2,3,7}:{(48,1),(77,1)}
        67:{1,2,3,5,7}:{(49,1),(50,1),(52,1),(78,1),(87,1),(89,1),(94,1),(137,1),(139,1),(177,1),(202,1)}
        68:{2,4,7}:{(49,1),(51,1),(79,1)}
        69:{1,4,7}:{(50,1),(51,1),(80,1)}
        70:{3,4,5,7}:{(51,1),(55,1),(81,1),(90,1),(91,1),(92,1),(139,1)}
        71:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(82,1),(89,1),(93,1),(94,1),(140,1),(205,1)}
        72:{2,5,7}:{(53,1),(55,1),(95,1)}
        73:{1,3,5,7}:{(54,1),(55,1),(83,1),(91,1),(94,1),(96,1),(139,1)}
        74:{3,5,6}:{(55,1),(56,1),(92,1),(95,1)}
        75:{1,4,5,6,7}:{(56,1),(97,1),(142,1)}
        76:{1,2,4,5}:{(57,1),(58,1),(98,1),(102,1),(146,1),(149,1)}
        77:{2,3,6}:{(58,1),(66,1),(98,1)}
        78:{1,2,3,5,6}:{(59,1),(60,1),(62,1),(67,1),(99,1),(101,1),(106,1),(119,1),(149,1),(151,1),(156,1),(160,1),(163,1),(189,1)}
        79:{2,4,6}:{(59,1),(61,1),(68,1),(102,1)}
        80:{1,4,6}:{(60,1),(61,1),(69,1),(103,1)}
        81:{3,4,5}:{(61,1),(102,1),(103,1),(151,1)}
        82:{1,2,4,6}:{(62,1),(63,1),(64,1),(105,1),(106,1)}
        83:{1,3,5}:{(63,1),(103,1),(106,1),(151,1)}
        84:{2,3,4,7}:{(64,1),(105,1),(108,1),(113,1),(193,1)}
        85:{1,2,4,5,7}:{(64,1),(65,1),(106,1),(108,1),(109,1),(155,1),(157,1),(193,1)}
        86:{1,3,4,6}:{(65,1),(107,1),(109,1),(116,1),(163,1),(191,1),(194,1)}
        87:{1,2,3,7}:{(66,1),(99,1),(111,1),(207,1)}
        88:{2,3,4,7}:{(66,1),(68,1),(100,1),(111,1),(112,1),(113,1)}
        89:{1,2,4,7}:{(67,1),(68,1),(69,1),(101,1),(113,1),(193,1),(208,1)}
        90:{2,4,5,7}:{(68,1),(70,1),(72,1),(102,1),(112,1),(115,1)}
        91:{1,4,5,7}:{(69,1),(70,1),(73,1),(103,1),(116,1)}
        92:{3,4,6}:{(70,1),(74,1),(115,1),(116,1),(163,1)}
        93:{2,3,4,6,7}:{(71,1),(105,1),(113,1),(118,1),(158,1),(163,1),(165,1),(193,1),(197,1)}
        94:{1,2,5,7}:{(71,1),(72,1),(73,1),(106,1),(118,1),(119,1),(209,1)}
        95:{2,5,6}:{(72,1),(74,1),(115,1)}
        96:{1,3,5,6}:{(73,1),(74,1),(116,1),(119,1),(163,1)}
        97:{3,5,6,7}:{(74,1),(75,1),(117,1),(120,1)}
        98:{2,3,5}:{(76,1),(77,1),(123,1)}
        99:{1,2,3,6}:{(77,1),(87,1),(122,1),(124,1),(199,1)}
       100:{2,3,4,6}:{(77,1),(79,1),(88,1),(123,1),(124,1),(125,1),(126,1),(138,1)}
       101:{1,2,4,6}:{(78,1),(79,1),(80,1),(89,1),(126,1),(127,1),(176,1),(201,1)}
       102:{2,4,5}:{(79,1),(81,1),(125,1)}
       103:{1,4,5}:{(80,1),(81,1),(83,1)}
       104:{3,4,5,6}:{(81,1),(92,1),(128,1),(129,1),(130,1),(174,1)}
       105:{2,3,4,6}:{(82,1),(84,1),(126,1),(131,1),(134,1),(176,1)}
       106:{1,2,5}:{(82,1),(83,1),(131,1)}
       107:{1,3,5,6}:{(83,1),(86,1),(129,1),(132,1),(133,1),(174,1),(204,1)}
       108:{2,3,5,7}:{(84,1),(85,1),(131,1),(134,1),(139,1)}
       109:{1,2,4,6}:{(85,1),(86,1),(132,1),(134,1),(176,1)}
       110:{1,3,4,6,7}:{(86,1),(133,1),(135,1),(142,1),(182,1),(203,1),(205,1)}
       111:{1,2,4,7}:{(87,1),(88,1),(124,1),(136,1),(137,1)}
       112:{2,3,5,7}:{(88,1),(90,1),(125,1),(137,1),(138,1),(139,1)}
       113:{3,4,7}:{(89,1),(126,1),(139,1)}
       114:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(127,1),(137,1),(139,1),(140,1),(143,1),(178,1)}
       115:{2,4,6}:{(90,1),(92,1),(95,1),(138,1)}
       116:{1,4,6}:{(91,1),(92,1),(96,1)}
       117:{3,4,6,7}:{(92,1),(97,1),(130,1),(141,1),(142,1),(182,1)}
       118:{2,3,5,7}:{(93,1),(94,1),(131,1),(139,1),(143,1),(144,1),(206,1)}
       119:{1,2,5,6}:{(94,1),(95,1),(96,1),(140,1),(144,1),(204,1)}
       120:{2,5,6,7}:{(95,1),(97,1),(141,1)}
       121:{1,3,5,6,7}:{(96,1),(97,1),(133,1),(142,1),(145,1),(182,1)}
       122:{1,2,3,5}:{(98,1),(99,1),(146,1),(149,1),(185,1)}
       123:{2,3,4}:{(98,1),(146,1)}
       124:{1,2,4,6}:{(99,1),(100,1),(111,1),(146,1),(148,1),(149,1),(160,1)}
       125:{2,3,5}:{(100,1),(102,1),(149,1),(151,1)}
       126:{3,4,6}:{(101,1),(113,1),(151,1),(163,1)}
       127:{1,2,4,5}:{(101,1),(102,1),(103,1),(106,1),(149,1),(151,1),(155,1),(188,1)}
       128:{2,4,5,6}:{(102,1),(104,1),(115,1),(150,1),(153,1)}
       129:{1,4,5,6}:{(103,1),(104,1),(107,1),(116,1),(154,1)}
       130:{3,4,5,7}:{(104,1),(117,1),(153,1),(154,1),(192,1)}
       131:{2,3,5}:{(105,1),(106,1),(151,1),(155,1)}
       132:{1,2,5,6}:{(106,1),(107,1),(109,1),(156,1),(157,1)}
       133:{1,3,5,7}:{(107,1),(110,1),(154,1),(157,1),(192,1),(209,1)}
       134:{2,3,6}:{(108,1),(109,1),(163,1)}
       135:{1,2,4,6,7}:{(109,1),(110,1),(157,1),(158,1),(193,1)}
       136:{1,3,4,7}:{(111,1),(113,1),(148,1),(159,1),(207,1),(208,1)}
       137:{1,2,5,7}:{(111,1),(112,1),(149,1),(159,1),(160,1)}
       138:{2,3,6}:{(112,1),(115,1),(160,1),(163,1)}
       139:{3,5,7}:{(113,1),(114,1),(151,1),(163,1)}
       140:{1,2,4,6}:{(114,1),(115,1),(116,1),(119,1),(160,1),(163,1),(165,1),(194,1)}
       141:{2,4,6,7}:{(115,1),(117,1),(120,1),(153,1),(161,1)}
       142:{1,4,6,7}:{(116,1),(117,1),(121,1),(154,1)}
       143:{2,4,5,7}:{(118,1),(155,1),(162,1),(165,1),(193,1)}
       144:{2,3,5,6}:{(118,1),(119,1),(163,1),(165,1),(196,1)}
       145:{1,2,5,6,7}:{(119,1),(120,1),(121,1),(157,1),(164,1),(166,1),(209,1)}
       146:{1,2,4}:{(122,1),(123,1),(167,1)}
       147:{2,3,4,5}:{(123,1),(125,1),(168,1),(169,1),(173,1)}
       148:{1,3,4,6}:{(124,1),(126,1),(136,1),(167,1),(170,1),(179,1),(199,1),(201,1)}
       149:{1,2,5}:{(124,1),(125,1),(170,1)}
       150:{2,3,5,6}:{(125,1),(128,1),(138,1),(169,1),(171,1),(172,1),(174,1)}
       151:{3,5}:{(126,1),(127,1)}
       152:{1,2,4,5,6}:{(127,1),(128,1),(129,1),(132,1),(140,1),(171,1),(174,1),(175,1),(176,1),(183,1),(201,1),(204,1)}
       153:{2,4,5,7}:{(128,1),(130,1),(141,1),(172,1)}
       154:{1,4,5,7}:{(129,1),(130,1),(133,1),(142,1)}
       155:{2,4,5}:{(131,1),(173,1),(176,1)}
       156:{2,3,5,6}:{(131,1),(132,1),(134,1),(174,1),(176,1),(177,1)}
       157:{1,2,5,7}:{(132,1),(133,1),(135,1),(177,1)}
       158:{2,3,6,7}:{(134,1),(135,1),(177,1),(182,1)}
       159:{1,3,5,7}:{(136,1),(137,1),(139,1),(170,1),(178,1),(179,1)}
       160:{1,2,6}:{(137,1),(138,1),(179,1)}
       161:{2,3,6,7}:{(138,1),(141,1),(172,1),(180,1),(182,1)}
       162:{3,4,5,7}:{(139,1),(143,1),(173,1),(178,1),(181,1),(203,1),(206,1)}
       163:{3,6}:{(139,1),(140,1)}
       164:{1,2,4,6,7}:{(140,1),(141,1),(142,1),(145,1),(175,1),(180,1),(182,1),(184,1),(205,1)}
       165:{2,4,6}:{(143,1),(144,1),(181,1)}
       166:{2,3,5,6,7}:{(144,1),(145,1),(177,1),(182,1),(184,1),(206,1)}
       167:{1,3,4}:{(146,1),(185,1)}
       168:{1,2,4,5}:{(146,1),(147,1),(149,1),(185,1),(186,1),(188,1)}
       169:{2,3,4,6}:{(147,1),(150,1),(186,1),(187,1),(191,1)}
       170:{1,3,5}:{(148,1),(149,1),(151,1),(188,1)}
       171:{1,2,5,6}:{(149,1),(150,1),(160,1),(186,1),(189,1),(190,1)}
       172:{2,3,5,7}:{(150,1),(153,1),(161,1),(187,1),(190,1),(192,1)}
       173:{3,4,5}:{(151,1),(155,1),(188,1),(191,1)}
       174:{3,5,6}:{(151,1),(152,1),(163,1),(191,1),(192,1)}
       175:{1,2,4,5,7}:{(152,1),(153,1),(154,1),(157,1),(164,1),(190,1),(192,1),(193,1),(198,1),(208,1),(209,1)}
       176:{2,4,6}:{(155,1),(156,1),(191,1),(193,1)}
       177:{2,3,5,7}:{(156,1),(157,1),(158,1),(192,1),(193,1)}
       178:{1,4,5,7}:{(159,1),(162,1),(188,1),(194,1),(208,1),(209,1)}
       179:{1,3,6}:{(159,1),(160,1),(163,1),(194,1)}
       180:{1,2,6,7}:{(160,1),(161,1),(190,1),(195,1)}
       181:{3,4,6}:{(162,1),(163,1),(165,1),(194,1),(196,1)}
       182:{3,6,7}:{(163,1),(164,1),(192,1)}
       183:{2,4,5,6}:{(165,1),(196,1),(198,1)}
       184:{2,4,6,7}:{(165,1),(166,1),(193,1),(197,1),(198,1)}
       185:{1,3,5}:{(167,1),(168,1),(199,1)}
       186:{1,2,4,6}:{(168,1),(169,1),(171,1),(199,1),(200,1),(201,1)}
       187:{2,3,4,7}:{(169,1),(172,1),(200,1),(203,1)}
       188:{1,4,5}:{(170,1),(173,1),(201,1)}
       189:{1,3,5,6}:{(170,1),(171,1),(174,1),(179,1),(199,1),(201,1),(202,1),(204,1)}
       190:{1,2,5,7}:{(171,1),(172,1),(180,1),(200,1),(202,1)}
       191:{3,4,6}:{(173,1),(174,1),(176,1),(201,1),(203,1)}
       192:{3,5,7}:{(174,1),(175,1),(182,1),(203,1)}
       193:{2,4,7}:{(176,1),(177,1),(203,1)}
       194:{1,4,6}:{(178,1),(179,1),(181,1),(204,1)}
       195:{1,3,6,7}:{(179,1),(180,1),(182,1),(202,1),(205,1)}
       196:{3,5,6}:{(181,1),(183,1),(204,1),(206,1)}
       197:{3,4,6,7}:{(181,1),(182,1),(184,1),(203,1),(205,1),(206,1)}
       198:{2,4,5,7}:{(183,1),(184,1),(206,1)}
       199:{1,3,6}:{(185,1),(186,1),(207,1)}
       200:{1,2,4,7}:{(186,1),(187,1),(190,1),(207,1),(208,1)}
       201:{1,4,6}:{(188,1),(189,1),(191,1),(208,1)}
       202:{1,3,5,7}:{(189,1),(190,1),(192,1),(195,1),(207,1),(208,1),(209,1)}
       203:{3,4,7}:{(191,1),(192,1),(193,1),(208,1)}
       204:{1,5,6}:{(194,1),(196,1),(209,1)}
       205:{1,4,6,7}:{(194,1),(195,1),(197,1),(208,1),(209,1)}
       206:{3,5,7}:{(196,1),(197,1),(198,1),(209,1)}
       207:{1,3,7}:{(199,1),(200,1)}
       208:{1,4,7}:{(201,1),(202,1),(203,1)}
       209:{1,5,7}:{(204,1),(205,1),(206,1)}

1044 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(17,1),(18,1),(38,1),(47,1),(74,1),(75,1),(78,1),(102,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(58,1),(59,1),(87,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(21,1),(26,1),(27,1),(28,1),(58,1),(59,1)}
         3:{3,5,6}:{(0,1),(6,1),(7,1),(65,1),(89,1),(101,1)}
         4:{3,5,6,7}:{(1,1),(10,1),(11,1),(39,1),(95,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(10,1),(11,1),(40,1),(41,1),(42,1),(78,1)}
         6:{3,5,7}:{(2,1),(3,1),(11,1),(12,1)}
         7:{3,4,6}:{(3,1),(12,1),(15,1),(16,1),(17,1),(48,1),(80,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(16,1),(18,1),(36,1),(48,1),(69,1),(70,1),(74,1),(91,1),(95,1),(102,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(33,1),(48,1),(66,1),(73,1),(75,1),(93,1),(95,1),(103,1)}
        10:{4,6,7}:{(4,1),(21,1),(100,1)}
        11:{3,6,7}:{(5,1),(6,1),(89,1)}
        12:{3,4,7}:{(6,1),(7,1),(26,1),(27,1),(64,1)}
        13:{1,3,5,7}:{(6,1),(8,1),(23,1),(26,1),(28,1),(58,1),(64,1),(88,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(24,1),(27,1),(28,1),(59,1),(64,1),(88,1)}
        15:{3,4,5}:{(7,1),(29,1),(30,1),(65,1),(101,1)}
        16:{1,4,6}:{(7,1),(8,1),(26,1),(29,1),(83,1),(100,1)}
        17:{2,4,6}:{(7,1),(9,1),(27,1),(30,1),(86,1),(100,1)}
        18:{1,2,5,6}:{(8,1),(9,1),(28,1),(31,1),(51,1),(55,1),(81,1),(84,1)}
        19:{2,3,4,6}:{(17,1),(32,1),(33,1),(34,1),(48,1),(66,1),(80,1),(97,1)}
        20:{1,3,4,6}:{(16,1),(35,1),(36,1),(37,1),(48,1),(70,1),(80,1),(97,1)}
        21:{4,5,7}:{(10,1),(38,1),(39,1),(96,1),(104,1)}
        22:{3,4,6,7}:{(10,1),(11,1),(12,1),(39,1),(40,1),(41,1),(43,1),(77,1),(96,1),(97,1)}
        23:{1,3,6,7}:{(11,1),(13,1),(40,1),(42,1),(70,1),(77,1),(91,1)}
        24:{2,3,6,7}:{(11,1),(14,1),(41,1),(42,1),(66,1),(77,1),(93,1)}
        25:{3,4,5,7}:{(12,1),(15,1),(39,1),(43,1),(44,1),(45,1),(79,1),(96,1),(104,1)}
        26:{1,4,7}:{(12,1),(13,1),(16,1),(96,1)}
        27:{2,4,7}:{(12,1),(14,1),(17,1),(96,1)}
        28:{1,2,5,7}:{(13,1),(14,1),(18,1),(42,1),(46,1)}
        29:{1,4,5}:{(15,1),(16,1),(36,1),(102,1),(104,1)}
        30:{2,4,5}:{(15,1),(17,1),(33,1),(103,1),(104,1)}
        31:{1,2,4,6}:{(16,1),(17,1),(18,1),(46,1),(47,1),(48,1)}
        32:{2,3,4,7}:{(19,1),(27,1),(49,1),(50,1),(64,1),(90,1)}
        33:{2,3,5}:{(19,1),(30,1),(51,1),(65,1),(101,1)}
        34:{1,2,4,6}:{(19,1),(50,1),(51,1),(52,1),(81,1),(83,1),(98,1)}
        35:{1,3,4,7}:{(20,1),(26,1),(53,1),(54,1),(64,1),(90,1)}
        36:{1,3,5}:{(20,1),(29,1),(55,1),(65,1),(101,1)}
        37:{1,2,4,6}:{(20,1),(54,1),(55,1),(56,1),(84,1),(86,1),(99,1)}
        38:{4,5,6}:{(21,1),(57,1),(100,1)}
        39:{3,5,7}:{(21,1),(22,1),(57,1),(58,1),(59,1),(101,1)}
        40:{1,4,6,7}:{(22,1),(23,1),(26,1),(58,1),(61,1),(98,1)}
        41:{2,4,6,7}:{(22,1),(24,1),(27,1),(59,1),(62,1),(99,1)}
        42:{1,2,6,7}:{(23,1),(24,1),(28,1),(81,1),(84,1)}
        43:{3,4,6}:{(25,1),(57,1),(61,1),(62,1),(89,1),(100,1)}
        44:{1,4,5,7}:{(25,1),(26,1),(29,1),(53,1),(58,1),(61,1)}
        45:{2,4,5,7}:{(25,1),(27,1),(30,1),(49,1),(59,1),(62,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(28,1),(31,1),(64,1)}
        47:{1,2,4,5}:{(29,1),(30,1),(31,1),(51,1),(55,1),(65,1),(83,1),(86,1)}
        48:{3,6}:{(31,1),(64,1),(65,1)}
        49:{2,3,5,7}:{(32,1),(33,1),(45,1),(66,1),(67,1),(79,1)}
        50:{1,2,4,7}:{(32,1),(34,1),(67,1),(68,1),(92,1)}
        51:{1,2,5}:{(33,1),(34,1),(69,1),(102,1)}
        52:{1,3,6}:{(34,1),(48,1),(68,1),(69,1)}
        53:{1,3,5,7}:{(35,1),(36,1),(44,1),(70,1),(71,1),(79,1)}
        54:{1,2,4,7}:{(35,1),(37,1),(71,1),(72,1),(94,1)}
        55:{1,2,5}:{(36,1),(37,1),(73,1),(103,1)}
        56:{2,3,6}:{(37,1),(48,1),(72,1),(73,1)}
        57:{3,5,6}:{(38,1),(39,1),(43,1),(74,1),(75,1)}
        58:{1,5,7}:{(39,1),(40,1),(74,1),(102,1)}
        59:{2,5,7}:{(39,1),(41,1),(75,1),(103,1)}
        60:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(46,1),(76,1),(77,1),(78,1),(96,1)}
        61:{1,4,6}:{(43,1),(44,1),(70,1),(74,1)}
        62:{2,4,6}:{(43,1),(45,1),(66,1),(75,1)}
        63:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(47,1),(67,1),(71,1),(76,1),(78,1),(79,1),(92,1),(94,1),(96,1),(102,1),(103,1),(104,1)}
        64:{3,7}:{(46,1),(48,1)}
        65:{3,5}:{(47,1),(48,1),(80,1)}
        66:{2,3,6}:{(49,1),(62,1),(81,1),(89,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(51,1),(81,1),(82,1)}
        68:{1,3,7}:{(50,1),(52,1),(64,1)}
        69:{1,3,5}:{(51,1),(52,1),(65,1),(83,1)}
        70:{1,3,6}:{(53,1),(61,1),(84,1),(89,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(55,1),(84,1),(85,1)}
        72:{2,3,7}:{(54,1),(56,1),(64,1)}
        73:{2,3,5}:{(55,1),(56,1),(65,1),(86,1)}
        74:{1,5,6}:{(57,1),(58,1),(61,1)}
        75:{2,5,6}:{(57,1),(59,1),(62,1)}
        76:{1,2,5,7}:{(58,1),(59,1),(60,1),(87,1),(88,1)}
        77:{3,6,7}:{(60,1),(64,1),(88,1),(89,1)}
        78:{1,2,4,6}:{(61,1),(62,1),(63,1),(81,1),(84,1),(87,1),(89,1),(98,1),(99,1),(100,1)}
        79:{3,5,7}:{(63,1),(64,1),(65,1),(89,1),(90,1),(101,1)}
        80:{3,4}:{(65,1),(83,1),(86,1)}
        81:{1,2,6}:{(66,1),(67,1),(91,1)}
        82:{1,3,5,7}:{(67,1),(68,1),(69,1),(79,1),(91,1),(92,1),(102,1)}
        83:{1,4}:{(69,1),(80,1)}
        84:{1,2,6}:{(70,1),(71,1),(93,1)}
        85:{2,3,5,7}:{(71,1),(72,1),(73,1),(79,1),(93,1),(94,1),(103,1)}
        86:{2,4}:{(73,1),(80,1)}
        87:{1,2,5,6}:{(74,1),(75,1),(76,1),(78,1),(95,1),(102,1),(103,1)}
        88:{3,5,7}:{(76,1),(77,1),(95,1),(96,1)}
        89:{3,6}:{(78,1),(79,1)}
        90:{3,4,7}:{(79,1),(80,1),(92,1),(94,1),(96,1),(97,1)}
        91:{1,3,6}:{(81,1),(82,1),(89,1),(98,1)}
        92:{1,4,7}:{(82,1),(83,1),(90,1),(98,1)}
        93:{2,3,6}:{(84,1),(85,1),(89,1),(99,1)}
        94:{2,4,7}:{(85,1),(86,1),(90,1),(99,1)}
        95:{3,5,6}:{(87,1),(88,1),(89,1),(100,1),(101,1)}
        96:{4,7}:{(88,1),(100,1)}
        97:{3,4,6}:{(89,1),(90,1),(98,1),(99,1),(100,1),(101,1)}
        98:{1,4,6}:{(91,1),(92,1),(97,1),(102,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(103,1)}
       100:{4,6}:{(95,1),(96,1),(104,1)}
       101:{3,5}:{(97,1),(102,1),(103,1),(104,1)}
       102:{1,5}:{(98,1),(101,1)}
       103:{2,5}:{(99,1),(101,1)}
       104:{4,5}:{(100,1),(101,1)}

1045 :   0:{1,2,5,6,7}:{(1,1),(2,1),(33,1),(34,1),(65,1)}
         1:{3,5,6,7}:{(0,1),(5,1),(6,1),(20,1),(80,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(21,1),(22,1),(23,1),(78,1)}
         3:{1,2,4,5,6}:{(4,1),(7,1),(19,1),(25,1),(26,1),(27,1),(47,1),(48,1),(55,1),(78,1),(99,1),(103,1),(104,1)}
         4:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(29,1),(30,1),(31,1),(33,1),(34,1)}
         5:{4,6,7}:{(1,1),(9,1),(91,1)}
         6:{3,6,7}:{(2,1),(8,1),(89,1)}
         7:{3,5,6}:{(3,1),(8,1),(13,1),(71,1),(89,1),(102,1)}
         8:{3,5,7}:{(4,1),(6,1),(7,1),(16,1)}
         9:{4,5,7}:{(5,1),(19,1),(20,1),(81,1),(99,1)}
        10:{3,4,6,7}:{(5,1),(6,1),(16,1),(20,1),(21,1),(22,1),(43,1),(50,1),(81,1),(98,1)}
        11:{1,3,6,7}:{(6,1),(17,1),(21,1),(23,1),(50,1),(75,1),(94,1)}
        12:{2,3,6,7}:{(6,1),(18,1),(22,1),(23,1),(50,1),(72,1),(96,1)}
        13:{3,4,6}:{(7,1),(16,1),(24,1),(25,1),(26,1),(56,1),(84,1)}
        14:{1,3,5,6}:{(7,1),(17,1),(25,1),(27,1),(47,1),(53,1),(56,1),(75,1),(80,1),(82,1),(94,1),(103,1)}
        15:{2,3,5,6}:{(7,1),(18,1),(26,1),(27,1),(48,1),(51,1),(56,1),(72,1),(80,1),(83,1),(96,1),(104,1)}
        16:{3,4,7}:{(8,1),(13,1),(29,1),(30,1),(64,1)}
        17:{1,3,5,7}:{(8,1),(11,1),(14,1),(29,1),(31,1),(33,1),(64,1),(66,1)}
        18:{2,3,5,7}:{(8,1),(12,1),(15,1),(30,1),(31,1),(34,1),(64,1),(66,1)}
        19:{4,5,6}:{(9,1),(32,1),(91,1)}
        20:{3,5,7}:{(9,1),(10,1),(32,1),(33,1),(34,1),(102,1)}
        21:{1,4,6,7}:{(10,1),(11,1),(29,1),(33,1),(61,1),(100,1)}
        22:{2,4,6,7}:{(10,1),(12,1),(30,1),(34,1),(62,1),(101,1)}
        23:{1,2,6,7}:{(11,1),(12,1),(31,1),(85,1),(87,1)}
        24:{3,4,5}:{(13,1),(38,1),(39,1),(71,1),(102,1)}
        25:{1,4,6}:{(13,1),(14,1),(29,1),(38,1),(91,1),(92,1)}
        26:{2,4,6}:{(13,1),(15,1),(30,1),(39,1),(91,1),(93,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(31,1),(40,1),(67,1),(69,1),(85,1),(87,1)}
        28:{3,4,5,7}:{(16,1),(20,1),(24,1),(43,1),(44,1),(45,1),(79,1),(81,1),(99,1)}
        29:{1,4,7}:{(16,1),(17,1),(25,1),(81,1)}
        30:{2,4,7}:{(16,1),(18,1),(26,1),(81,1)}
        31:{1,2,5,7}:{(17,1),(18,1),(23,1),(27,1),(46,1)}
        32:{3,5,6}:{(19,1),(20,1),(43,1),(47,1),(48,1)}
        33:{1,5,7}:{(20,1),(21,1),(47,1),(103,1)}
        34:{2,5,7}:{(20,1),(22,1),(48,1),(104,1)}
        35:{1,2,4,6,7}:{(21,1),(22,1),(23,1),(46,1),(49,1),(50,1),(78,1),(81,1)}
        36:{2,3,4,6}:{(26,1),(41,1),(51,1),(52,1),(56,1),(72,1),(84,1),(98,1)}
        37:{1,3,4,6}:{(25,1),(42,1),(53,1),(54,1),(56,1),(75,1),(84,1),(98,1)}
        38:{1,4,5}:{(24,1),(25,1),(53,1),(99,1),(103,1)}
        39:{2,4,5}:{(24,1),(26,1),(51,1),(99,1),(104,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(46,1),(55,1),(56,1)}
        41:{2,3,4,7}:{(30,1),(36,1),(57,1),(58,1),(64,1),(90,1)}
        42:{1,3,4,7}:{(29,1),(37,1),(59,1),(60,1),(64,1),(90,1)}
        43:{3,4,6}:{(28,1),(32,1),(61,1),(62,1),(89,1),(91,1)}
        44:{1,4,5,7}:{(28,1),(29,1),(33,1),(38,1),(59,1),(61,1)}
        45:{2,4,5,7}:{(28,1),(30,1),(34,1),(39,1),(57,1),(62,1)}
        46:{1,2,4,7}:{(29,1),(30,1),(31,1),(40,1),(64,1)}
        47:{1,5,6}:{(32,1),(33,1),(61,1)}
        48:{2,5,6}:{(32,1),(34,1),(62,1)}
        49:{1,2,5,7}:{(33,1),(34,1),(35,1),(65,1),(66,1)}
        50:{3,6,7}:{(35,1),(64,1),(66,1),(89,1)}
        51:{2,3,5}:{(36,1),(39,1),(67,1),(71,1),(102,1)}
        52:{1,2,4,6}:{(36,1),(58,1),(67,1),(68,1),(85,1),(92,1),(100,1)}
        53:{1,3,5}:{(37,1),(38,1),(69,1),(71,1),(102,1)}
        54:{1,2,4,6}:{(37,1),(60,1),(69,1),(70,1),(87,1),(93,1),(101,1)}
        55:{1,2,4,5}:{(38,1),(39,1),(40,1),(67,1),(69,1),(71,1),(92,1),(93,1)}
        56:{3,6}:{(40,1),(64,1),(71,1)}
        57:{2,3,5,7}:{(41,1),(45,1),(51,1),(72,1),(73,1),(79,1)}
        58:{1,2,4,7}:{(41,1),(52,1),(73,1),(74,1),(95,1)}
        59:{1,3,5,7}:{(42,1),(44,1),(53,1),(75,1),(76,1),(79,1)}
        60:{1,2,4,7}:{(42,1),(54,1),(76,1),(77,1),(97,1)}
        61:{1,4,6}:{(43,1),(44,1),(47,1),(75,1)}
        62:{2,4,6}:{(43,1),(45,1),(48,1),(72,1)}
        63:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(49,1),(55,1),(73,1),(76,1),(78,1),(79,1),(81,1),(95,1),(97,1),(99,1),(103,1),(104,1)}
        64:{3,7}:{(46,1),(56,1)}
        65:{1,2,5,6}:{(47,1),(48,1),(49,1),(78,1),(80,1),(103,1),(104,1)}
        66:{3,5,7}:{(49,1),(50,1),(80,1),(81,1)}
        67:{1,2,5}:{(51,1),(52,1),(82,1),(103,1)}
        68:{1,3,6}:{(52,1),(56,1),(74,1),(82,1)}
        69:{1,2,5}:{(53,1),(54,1),(83,1),(104,1)}
        70:{2,3,6}:{(54,1),(56,1),(77,1),(83,1)}
        71:{3,5}:{(55,1),(56,1),(84,1)}
        72:{2,3,6}:{(57,1),(62,1),(85,1),(89,1)}
        73:{1,2,5,7}:{(57,1),(58,1),(67,1),(85,1),(86,1)}
        74:{1,3,7}:{(58,1),(64,1),(68,1)}
        75:{1,3,6}:{(59,1),(61,1),(87,1),(89,1)}
        76:{1,2,5,7}:{(59,1),(60,1),(69,1),(87,1),(88,1)}
        77:{2,3,7}:{(60,1),(64,1),(70,1)}
        78:{1,2,4,6}:{(61,1),(62,1),(63,1),(65,1),(85,1),(87,1),(89,1),(91,1),(100,1),(101,1)}
        79:{3,5,7}:{(63,1),(64,1),(71,1),(89,1),(90,1),(102,1)}
        80:{3,5,6}:{(65,1),(66,1),(89,1),(91,1),(102,1)}
        81:{4,7}:{(66,1),(91,1)}
        82:{1,3,5}:{(67,1),(68,1),(71,1),(92,1)}
        83:{2,3,5}:{(69,1),(70,1),(71,1),(93,1)}
        84:{3,4}:{(71,1),(92,1),(93,1)}
        85:{1,2,6}:{(72,1),(73,1),(94,1)}
        86:{1,3,5,7}:{(73,1),(74,1),(79,1),(82,1),(94,1),(95,1),(103,1)}
        87:{1,2,6}:{(75,1),(76,1),(96,1)}
        88:{2,3,5,7}:{(76,1),(77,1),(79,1),(83,1),(96,1),(97,1),(104,1)}
        89:{3,6}:{(78,1),(79,1)}
        90:{3,4,7}:{(79,1),(81,1),(84,1),(95,1),(97,1),(98,1)}
        91:{4,6}:{(80,1),(81,1),(99,1)}
        92:{1,4}:{(82,1),(84,1)}
        93:{2,4}:{(83,1),(84,1)}
        94:{1,3,6}:{(85,1),(86,1),(89,1),(100,1)}
        95:{1,4,7}:{(86,1),(90,1),(92,1),(100,1)}
        96:{2,3,6}:{(87,1),(88,1),(89,1),(101,1)}
        97:{2,4,7}:{(88,1),(90,1),(93,1),(101,1)}
        98:{3,4,6}:{(89,1),(90,1),(91,1),(100,1),(101,1),(102,1)}
        99:{4,5}:{(91,1),(102,1)}
       100:{1,4,6}:{(94,1),(95,1),(98,1),(103,1)}
       101:{2,4,6}:{(96,1),(97,1),(98,1),(104,1)}
       102:{3,5}:{(98,1),(99,1),(103,1),(104,1)}
       103:{1,5}:{(100,1),(102,1)}
       104:{2,5}:{(101,1),(102,1)}

1046 :   0:{3,4,5,7}:{(3,1),(4,1),(5,1),(29,1),(30,1),(67,1),(76,1),(121,1),(132,1),(143,1),(146,1)}
         1:{2,3,4,7}:{(6,1),(7,1),(8,1),(54,1),(90,1),(149,1),(167,1),(194,1)}
         2:{1,3,4,7}:{(9,1),(10,1),(11,1),(54,1),(100,1),(155,1),(160,1),(200,1)}
         3:{1,4,5,7}:{(0,1),(9,1),(14,1),(48,1),(51,1),(97,1),(100,1),(150,1)}
         4:{2,4,5,7}:{(0,1),(6,1),(15,1),(41,1),(52,1),(90,1),(107,1),(161,1)}
         5:{3,4,6}:{(0,1),(14,1),(15,1),(16,1),(55,1),(115,1)}
         6:{2,3,5,7}:{(1,1),(4,1),(17,1),(18,1),(21,1),(30,1),(139,1),(186,1),(205,1)}
         7:{1,2,4,7}:{(1,1),(17,1),(19,1),(20,1),(61,1),(190,1)}
         8:{2,3,4,6}:{(1,1),(18,1),(20,1),(21,1),(64,1),(84,1),(124,1),(126,1),(179,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(22,1),(23,1),(26,1),(30,1),(127,1),(176,1),(207,1)}
        10:{1,2,4,7}:{(2,1),(22,1),(24,1),(25,1),(70,1),(181,1)}
        11:{1,3,4,6}:{(2,1),(23,1),(25,1),(26,1),(73,1),(84,1),(135,1),(137,1),(188,1)}
        12:{3,4,6,7}:{(5,1),(27,1),(28,1),(29,1),(79,1),(80,1),(121,1),(132,1),(140,1),(141,1),(143,1)}
        13:{1,2,4,5,7}:{(3,1),(4,1),(17,1),(22,1),(30,1),(31,1),(61,1),(66,1),(70,1),(75,1),(81,1),(120,1),(122,1),(131,1),(133,1),(143,1),(146,1),(174,1),(183,1),(205,1),(207,1)}
        14:{1,4,6}:{(3,1),(5,1),(23,1),(32,1)}
        15:{2,4,6}:{(4,1),(5,1),(18,1),(33,1)}
        16:{3,5,6}:{(5,1),(29,1),(32,1),(33,1),(34,1)}
        17:{1,2,5,7}:{(6,1),(7,1),(36,1),(37,1),(40,1),(168,1),(201,1)}
        18:{2,3,6}:{(6,1),(15,1),(37,1),(55,1),(208,1)}
        19:{1,3,7}:{(7,1),(39,1),(149,1),(203,1)}
        20:{1,2,4,6}:{(7,1),(8,1),(37,1),(39,1),(40,1),(91,1),(95,1)}
        21:{2,3,5}:{(8,1),(40,1),(41,1),(96,1),(114,1),(196,1)}
        22:{1,2,5,7}:{(9,1),(10,1),(43,1),(44,1),(47,1),(157,1),(195,1)}
        23:{1,3,6}:{(9,1),(14,1),(44,1),(55,1),(209,1)}
        24:{2,3,7}:{(10,1),(46,1),(160,1),(197,1)}
        25:{1,2,4,6}:{(10,1),(11,1),(44,1),(46,1),(47,1),(101,1),(105,1)}
        26:{1,3,5}:{(11,1),(47,1),(48,1),(106,1),(114,1),(202,1)}
        27:{1,4,6,7}:{(12,1),(14,1),(42,1),(51,1),(100,1),(150,1),(170,1)}
        28:{2,4,6,7}:{(12,1),(15,1),(35,1),(52,1),(90,1),(161,1),(169,1)}
        29:{3,5,7}:{(12,1),(16,1),(51,1),(52,1),(53,1)}
        30:{3,5,7}:{(13,1),(54,1),(55,1),(96,1),(106,1),(114,1),(149,1),(160,1)}
        31:{1,2,4,6}:{(13,1),(14,1),(15,1),(37,1),(44,1),(55,1),(56,1),(91,1),(101,1),(115,1),(192,1),(198,1),(208,1),(209,1)}
        32:{1,5,6}:{(14,1),(16,1),(51,1)}
        33:{2,5,6}:{(15,1),(16,1),(52,1)}
        34:{4,5,6}:{(16,1),(53,1),(115,1)}
        35:{2,3,6,7}:{(18,1),(28,1),(59,1),(60,1),(80,1),(141,1),(186,1)}
        36:{1,3,5,7}:{(17,1),(19,1),(30,1),(61,1),(62,1),(65,1),(122,1),(138,1),(185,1),(207,1)}
        37:{1,2,6}:{(17,1),(18,1),(62,1)}
        38:{2,3,5,6}:{(18,1),(21,1),(33,1),(60,1),(63,1),(64,1),(85,1),(87,1),(124,1)}
        39:{1,3,6}:{(19,1),(20,1),(65,1),(124,1)}
        40:{1,2,5}:{(20,1),(21,1),(65,1),(122,1)}
        41:{2,4,5}:{(21,1),(64,1),(67,1),(146,1)}
        42:{1,3,6,7}:{(23,1),(27,1),(68,1),(69,1),(80,1),(140,1),(176,1)}
        43:{2,3,5,7}:{(22,1),(24,1),(30,1),(70,1),(71,1),(74,1),(128,1),(133,1),(177,1),(205,1)}
        44:{1,2,6}:{(22,1),(23,1),(71,1)}
        45:{1,3,5,6}:{(23,1),(26,1),(32,1),(69,1),(72,1),(73,1),(85,1),(86,1),(135,1)}
        46:{2,3,6}:{(24,1),(25,1),(74,1),(135,1)}
        47:{1,2,5}:{(25,1),(26,1),(74,1),(133,1)}
        48:{1,4,5}:{(26,1),(73,1),(76,1),(146,1)}
        49:{3,5,6,7}:{(29,1),(77,1),(78,1),(79,1),(140,1),(141,1)}
        50:{1,2,4,6,7}:{(27,1),(28,1),(31,1),(59,1),(68,1),(80,1),(81,1),(118,1),(120,1),(129,1),(131,1),(143,1)}
        51:{1,5,7}:{(27,1),(29,1),(32,1)}
        52:{2,5,7}:{(28,1),(29,1),(33,1)}
        53:{4,5,7}:{(29,1),(34,1),(79,1),(143,1)}
        54:{3,4,7}:{(30,1),(61,1),(70,1),(84,1),(126,1),(137,1),(143,1)}
        55:{3,6}:{(30,1),(31,1)}
        56:{1,2,5,6}:{(31,1),(32,1),(33,1),(81,1),(85,1),(122,1),(133,1),(173,1),(182,1)}
        57:{1,4,5,6}:{(32,1),(34,1),(73,1),(82,1),(86,1)}
        58:{2,4,5,6}:{(33,1),(34,1),(64,1),(83,1),(87,1)}
        59:{1,2,6,7}:{(35,1),(37,1),(88,1),(89,1),(170,1),(201,1),(208,1)}
        60:{2,3,5,7}:{(35,1),(38,1),(52,1),(89,1),(90,1),(111,1),(113,1),(149,1)}
        61:{1,4,7}:{(36,1),(54,1),(91,1),(95,1),(166,1)}
        62:{1,3,6}:{(36,1),(37,1),(55,1),(91,1),(209,1)}
        63:{1,2,5,6}:{(37,1),(38,1),(40,1),(89,1),(92,1),(93,1),(117,1),(196,1),(208,1)}
        64:{2,4,6}:{(38,1),(41,1),(90,1),(94,1),(115,1)}
        65:{1,3,5}:{(39,1),(40,1),(95,1),(96,1)}
        66:{1,2,4,5}:{(40,1),(41,1),(93,1),(95,1),(96,1),(97,1),(151,1),(156,1),(157,1),(196,1)}
        67:{3,4,5}:{(41,1),(94,1),(96,1),(97,1)}
        68:{1,2,6,7}:{(42,1),(44,1),(98,1),(99,1),(169,1),(195,1),(209,1)}
        69:{1,3,5,7}:{(42,1),(45,1),(51,1),(99,1),(100,1),(111,1),(112,1),(160,1)}
        70:{2,4,7}:{(43,1),(54,1),(101,1),(105,1),(156,1)}
        71:{2,3,6}:{(43,1),(44,1),(55,1),(101,1),(208,1)}
        72:{1,2,5,6}:{(44,1),(45,1),(47,1),(99,1),(102,1),(103,1),(116,1),(202,1),(209,1)}
        73:{1,4,6}:{(45,1),(48,1),(100,1),(104,1),(115,1)}
        74:{2,3,5}:{(46,1),(47,1),(105,1),(106,1)}
        75:{1,2,4,5}:{(47,1),(48,1),(103,1),(105,1),(106,1),(107,1),(162,1),(166,1),(168,1),(202,1)}
        76:{3,4,5}:{(48,1),(104,1),(106,1),(107,1)}
        77:{1,5,6,7}:{(49,1),(51,1),(108,1),(170,1)}
        78:{2,5,6,7}:{(49,1),(52,1),(109,1),(169,1)}
        79:{4,6,7}:{(49,1),(53,1)}
        80:{3,6,7}:{(50,1),(55,1),(111,1),(149,1),(160,1)}
        81:{1,2,5,7}:{(50,1),(51,1),(52,1),(56,1),(111,1),(147,1),(158,1)}
        82:{1,4,5,7}:{(51,1),(53,1),(57,1),(100,1),(108,1),(112,1)}
        83:{2,4,5,7}:{(52,1),(53,1),(58,1),(90,1),(109,1),(113,1)}
        84:{3,4,6}:{(54,1),(55,1),(91,1),(101,1),(114,1),(115,1)}
        85:{3,5,6}:{(55,1),(56,1),(111,1),(114,1),(115,1)}
        86:{3,5,6}:{(57,1),(104,1),(112,1),(116,1)}
        87:{3,5,6}:{(58,1),(94,1),(113,1),(117,1)}
        88:{1,3,6,7}:{(59,1),(62,1),(80,1),(118,1),(119,1),(185,1),(204,1)}
        89:{1,2,5,7}:{(59,1),(60,1),(63,1),(119,1),(120,1),(145,1),(205,1)}
        90:{2,4,7}:{(60,1),(64,1),(121,1),(143,1)}
        91:{1,4,6}:{(61,1),(62,1),(84,1),(122,1)}
        92:{1,3,5,6}:{(62,1),(63,1),(65,1),(85,1),(119,1),(122,1),(123,1),(124,1),(173,1),(178,1),(204,1)}
        93:{1,2,4,6}:{(63,1),(64,1),(66,1),(120,1),(123,1),(124,1),(125,1),(179,1),(180,1)}
        94:{3,4,6}:{(64,1),(67,1),(87,1),(121,1),(124,1),(125,1)}
        95:{1,4}:{(65,1),(126,1)}
        96:{3,5}:{(66,1),(124,1),(126,1)}
        97:{1,4,5}:{(67,1),(125,1),(127,1)}
        98:{2,3,6,7}:{(68,1),(71,1),(80,1),(129,1),(130,1),(177,1),(206,1)}
        99:{1,2,5,7}:{(68,1),(69,1),(72,1),(130,1),(131,1),(144,1),(207,1)}
       100:{1,4,7}:{(69,1),(73,1),(132,1),(143,1)}
       101:{2,4,6}:{(70,1),(71,1),(84,1),(133,1)}
       102:{2,3,5,6}:{(71,1),(72,1),(74,1),(85,1),(130,1),(133,1),(134,1),(135,1),(182,1),(187,1),(206,1)}
       103:{1,2,4,6}:{(72,1),(73,1),(75,1),(131,1),(134,1),(135,1),(136,1),(188,1),(189,1)}
       104:{3,4,6}:{(73,1),(76,1),(86,1),(132,1),(135,1),(136,1)}
       105:{2,4}:{(74,1),(137,1)}
       106:{3,5}:{(75,1),(135,1),(137,1)}
       107:{2,4,5}:{(76,1),(136,1),(139,1)}
       108:{1,4,6,7}:{(77,1),(79,1),(82,1),(140,1)}
       109:{2,4,6,7}:{(78,1),(79,1),(83,1),(141,1)}
       110:{3,4,6,7}:{(80,1),(84,1),(118,1),(129,1),(142,1),(143,1),(175,1),(184,1),(191,1),(204,1),(206,1)}
       111:{3,5,7}:{(80,1),(81,1),(85,1),(143,1)}
       112:{3,5,7}:{(82,1),(86,1),(132,1),(140,1),(144,1)}
       113:{3,5,7}:{(83,1),(87,1),(121,1),(141,1),(145,1)}
       114:{3,5}:{(84,1),(122,1),(133,1),(146,1)}
       115:{4,6}:{(85,1),(143,1),(146,1)}
       116:{2,5,6}:{(86,1),(136,1),(144,1)}
       117:{1,5,6}:{(87,1),(125,1),(145,1)}
       118:{1,4,6,7}:{(88,1),(91,1),(110,1),(147,1),(148,1),(192,1),(200,1),(209,1)}
       119:{1,3,5,7}:{(88,1),(89,1),(92,1),(111,1),(147,1),(148,1),(149,1),(193,1)}
       120:{1,2,4,7}:{(89,1),(90,1),(93,1),(148,1),(149,1),(150,1),(194,1),(195,1)}
       121:{3,4,7}:{(90,1),(94,1),(113,1),(149,1),(150,1)}
       122:{1,5}:{(91,1),(114,1)}
       123:{1,4,6}:{(92,1),(95,1),(115,1),(148,1),(151,1),(152,1)}
       124:{3,6}:{(93,1),(96,1),(149,1)}
       125:{1,4,6}:{(94,1),(97,1),(117,1),(150,1),(153,1)}
       126:{3,4}:{(95,1),(96,1),(156,1)}
       127:{1,3,5}:{(96,1),(97,1),(153,1),(155,1),(157,1)}
       128:{2,3,5}:{(96,1),(154,1),(156,1),(157,1),(196,1),(197,1)}
       129:{2,4,6,7}:{(98,1),(101,1),(110,1),(158,1),(159,1),(194,1),(198,1),(208,1)}
       130:{2,3,5,7}:{(98,1),(99,1),(102,1),(111,1),(158,1),(159,1),(160,1),(199,1)}
       131:{1,2,4,7}:{(99,1),(100,1),(103,1),(159,1),(160,1),(161,1),(200,1),(201,1)}
       132:{3,4,7}:{(100,1),(104,1),(112,1),(160,1),(161,1)}
       133:{2,5}:{(101,1),(114,1)}
       134:{2,4,6}:{(102,1),(105,1),(115,1),(159,1),(162,1),(163,1)}
       135:{3,6}:{(103,1),(106,1),(160,1)}
       136:{2,4,6}:{(104,1),(107,1),(116,1),(161,1),(165,1)}
       137:{3,4}:{(105,1),(106,1),(166,1)}
       138:{1,3,5}:{(106,1),(164,1),(166,1),(168,1),(202,1),(203,1)}
       139:{2,3,5}:{(106,1),(107,1),(165,1),(167,1),(168,1)}
       140:{3,6,7}:{(108,1),(112,1),(169,1)}
       141:{3,6,7}:{(109,1),(113,1),(170,1)}
       142:{3,5,7}:{(110,1),(114,1),(147,1),(158,1),(171,1),(172,1)}
       143:{4,7}:{(111,1),(115,1)}
       144:{2,5,7}:{(112,1),(116,1),(161,1),(169,1)}
       145:{1,5,7}:{(113,1),(117,1),(150,1),(170,1)}
       146:{4,5}:{(114,1),(115,1)}
       147:{1,5,7}:{(118,1),(122,1),(142,1),(173,1)}
       148:{1,4,7}:{(119,1),(123,1),(143,1),(175,1)}
       149:{3,7}:{(120,1),(124,1)}
       150:{1,4,7}:{(121,1),(125,1),(145,1),(176,1)}
       151:{1,4,5}:{(122,1),(123,1),(146,1),(178,1)}
       152:{3,4,6}:{(123,1),(124,1),(126,1),(175,1),(178,1),(179,1),(204,1)}
       153:{1,3,6}:{(124,1),(125,1),(127,1),(176,1),(180,1)}
       154:{2,3,6}:{(124,1),(128,1),(177,1),(179,1),(180,1)}
       155:{1,3,4}:{(126,1),(127,1),(181,1)}
       156:{2,4}:{(126,1),(128,1)}
       157:{1,2,5}:{(127,1),(128,1),(180,1),(181,1)}
       158:{2,5,7}:{(129,1),(133,1),(142,1),(182,1)}
       159:{2,4,7}:{(130,1),(134,1),(143,1),(184,1)}
       160:{3,7}:{(131,1),(135,1)}
       161:{2,4,7}:{(132,1),(136,1),(144,1),(186,1)}
       162:{2,4,5}:{(133,1),(134,1),(146,1),(187,1)}
       163:{3,4,6}:{(134,1),(135,1),(137,1),(184,1),(187,1),(188,1),(206,1)}
       164:{1,3,6}:{(135,1),(138,1),(185,1),(188,1),(189,1)}
       165:{2,3,6}:{(135,1),(136,1),(139,1),(186,1),(189,1)}
       166:{1,4}:{(137,1),(138,1)}
       167:{2,3,4}:{(137,1),(139,1),(190,1)}
       168:{1,2,5}:{(138,1),(139,1),(189,1),(190,1)}
       169:{2,6,7}:{(140,1),(144,1)}
       170:{1,6,7}:{(141,1),(145,1)}
       171:{3,5,6}:{(142,1),(173,1),(182,1),(191,1),(204,1),(206,1)}
       172:{4,5,7}:{(142,1),(143,1),(146,1),(191,1)}
       173:{1,5,6}:{(147,1),(171,1),(192,1),(209,1)}
       174:{1,4,5,7}:{(147,1),(148,1),(151,1),(172,1),(192,1),(193,1)}
       175:{3,4,7}:{(148,1),(149,1),(152,1),(193,1),(194,1)}
       176:{1,3,7}:{(149,1),(150,1),(153,1),(195,1)}
       177:{2,3,7}:{(149,1),(154,1),(194,1),(195,1)}
       178:{3,5}:{(151,1),(152,1),(196,1)}
       179:{2,4,6}:{(152,1),(154,1),(156,1),(194,1),(196,1),(208,1)}
       180:{1,2,6}:{(153,1),(154,1),(157,1),(195,1)}
       181:{1,2,4}:{(155,1),(156,1),(157,1),(197,1)}
       182:{2,5,6}:{(158,1),(171,1),(198,1),(208,1)}
       183:{2,4,5,7}:{(158,1),(159,1),(162,1),(172,1),(198,1),(199,1)}
       184:{3,4,7}:{(159,1),(160,1),(163,1),(199,1),(200,1)}
       185:{1,3,7}:{(160,1),(164,1),(200,1),(201,1)}
       186:{2,3,7}:{(160,1),(161,1),(165,1),(201,1)}
       187:{3,5}:{(162,1),(163,1),(202,1)}
       188:{1,4,6}:{(163,1),(164,1),(166,1),(200,1),(202,1),(209,1)}
       189:{1,2,6}:{(164,1),(165,1),(168,1),(201,1)}
       190:{1,2,4}:{(166,1),(167,1),(168,1),(203,1)}
       191:{4,6}:{(171,1),(172,1)}
       192:{1,4,6}:{(173,1),(174,1),(191,1),(204,1)}
       193:{3,5,7}:{(174,1),(175,1),(178,1),(204,1),(205,1)}
       194:{2,4,7}:{(175,1),(177,1),(179,1),(205,1)}
       195:{1,2,7}:{(176,1),(177,1),(180,1)}
       196:{2,5}:{(178,1),(179,1)}
       197:{2,3}:{(181,1)}
       198:{2,4,6}:{(182,1),(183,1),(191,1),(206,1)}
       199:{3,5,7}:{(183,1),(184,1),(187,1),(206,1),(207,1)}
       200:{1,4,7}:{(184,1),(185,1),(188,1),(207,1)}
       201:{1,2,7}:{(185,1),(186,1),(189,1)}
       202:{1,5}:{(187,1),(188,1)}
       203:{1,3}:{(190,1)}
       204:{3,6}:{(192,1),(193,1),(208,1)}
       205:{2,5,7}:{(193,1),(194,1),(196,1),(208,1)}
       206:{3,6}:{(198,1),(199,1),(209,1)}
       207:{1,5,7}:{(199,1),(200,1),(202,1),(209,1)}
       208:{2,6}:{(204,1),(205,1)}
       209:{1,6}:{(206,1),(207,1)}

1047 :  0:{3,4,5}:{(4,1),(5,1),(6,1),(31,1),(72,1)}
        1:{2,3,4}:{(7,1),(8,1),(44,1)}
        2:{1,3,4}:{(9,1),(10,1),(44,1)}
        3:{4,5,6}:{(12,1),(13,1),(63,1),(83,1)}
        4:{3,4,6}:{(0,1),(13,1),(14,1),(15,1),(16,1),(43,1),(63,1)}
        5:{1,4,5}:{(0,1),(9,1),(15,1)}
        6:{2,4,5}:{(0,1),(7,1),(16,1)}
        7:{2,3,5}:{(1,1),(6,1),(18,1),(19,1),(31,1)}
        8:{1,2,4}:{(1,1),(19,1),(20,1),(47,1)}
        9:{1,3,5}:{(2,1),(5,1),(21,1),(22,1),(31,1)}
       10:{1,2,4}:{(2,1),(22,1),(23,1),(50,1)}
       11:{5,6,7}:{(24,1),(81,1)}
       12:{4,5,7}:{(3,1),(24,1),(25,1),(71,1),(81,1)}
       13:{3,5,6}:{(3,1),(4,1),(25,1),(26,1),(27,1)}
       14:{3,4,7}:{(4,1),(25,1),(28,1),(29,1),(55,1),(71,1)}
       15:{1,4,6}:{(4,1),(5,1),(21,1),(26,1),(28,1)}
       16:{2,4,6}:{(4,1),(6,1),(18,1),(27,1),(29,1)}
       17:{1,2,4,5}:{(5,1),(6,1),(19,1),(22,1),(30,1),(31,1),(47,1),(50,1),(67,1),(69,1),(72,1)}
       18:{2,3,6}:{(7,1),(16,1),(32,1),(33,1),(43,1)}
       19:{1,2,5}:{(7,1),(8,1),(33,1),(34,1)}
       20:{1,3}:{(8,1)}
       21:{1,3,6}:{(9,1),(15,1),(35,1),(36,1),(43,1)}
       22:{1,2,5}:{(9,1),(10,1),(36,1),(37,1)}
       23:{2,3}:{(10,1)}
       24:{4,6,7}:{(11,1),(12,1),(38,1)}
       25:{3,5,7}:{(12,1),(13,1),(14,1),(38,1),(39,1),(40,1)}
       26:{1,5,6}:{(13,1),(15,1),(39,1)}
       27:{2,5,6}:{(13,1),(16,1),(40,1)}
       28:{1,4,7}:{(14,1),(15,1),(35,1),(39,1)}
       29:{2,4,7}:{(14,1),(16,1),(32,1),(40,1)}
       30:{1,2,4,6}:{(15,1),(16,1),(17,1),(33,1),(36,1),(41,1),(42,1),(43,1),(58,1),(60,1),(63,1)}
       31:{3,5}:{(17,1),(43,1),(44,1)}
       32:{2,3,7}:{(18,1),(29,1),(45,1),(55,1)}
       33:{1,2,6}:{(18,1),(19,1),(45,1),(46,1)}
       34:{1,3,5}:{(19,1),(20,1),(31,1),(46,1),(47,1),(67,1)}
       35:{1,3,7}:{(21,1),(28,1),(48,1),(55,1)}
       36:{1,2,6}:{(21,1),(22,1),(48,1),(49,1)}
       37:{2,3,5}:{(22,1),(23,1),(31,1),(49,1),(50,1),(69,1)}
       38:{3,6,7}:{(24,1),(25,1),(51,1),(52,1)}
       39:{1,5,7}:{(25,1),(26,1),(28,1),(51,1)}
       40:{2,5,7}:{(25,1),(27,1),(29,1),(52,1)}
       41:{1,2,5,6}:{(26,1),(27,1),(30,1),(53,1),(54,1),(67,1),(69,1),(79,1),(80,1)}
       42:{1,2,4,7}:{(28,1),(29,1),(30,1),(45,1),(48,1),(53,1),(55,1),(66,1),(68,1),(71,1)}
       43:{3,6}:{(30,1),(31,1),(55,1)}
       44:{3,4}:{(31,1),(47,1),(50,1)}
       45:{1,2,7}:{(32,1),(33,1),(57,1)}
       46:{1,3,6}:{(33,1),(34,1),(43,1),(57,1),(58,1)}
       47:{1,4}:{(34,1),(44,1)}
       48:{1,2,7}:{(35,1),(36,1),(59,1)}
       49:{2,3,6}:{(36,1),(37,1),(43,1),(59,1),(60,1)}
       50:{2,4}:{(37,1),(44,1)}
       51:{1,6,7}:{(38,1),(39,1)}
       52:{2,6,7}:{(38,1),(40,1)}
       53:{1,2,5,7}:{(39,1),(40,1),(41,1),(42,1),(61,1),(62,1),(74,1),(75,1)}
       54:{3,5,6}:{(41,1),(43,1),(62,1),(63,1),(65,1),(78,1),(83,1)}
       55:{3,7}:{(42,1),(43,1)}
       56:{3,4,6}:{(43,1),(44,1),(58,1),(60,1),(63,1),(64,1),(65,1),(78,1)}
       57:{1,3,7}:{(45,1),(46,1),(55,1),(66,1)}
       58:{1,4,6}:{(46,1),(47,1),(56,1),(66,1),(67,1),(79,1)}
       59:{2,3,7}:{(48,1),(49,1),(55,1),(68,1)}
       60:{2,4,6}:{(49,1),(50,1),(56,1),(68,1),(69,1),(80,1)}
       61:{1,2,6,7}:{(51,1),(52,1),(53,1),(70,1),(79,1),(80,1)}
       62:{3,5,7}:{(53,1),(54,1),(55,1),(70,1),(71,1),(81,1)}
       63:{4,6}:{(54,1),(71,1),(72,1)}
       64:{3,4,7}:{(55,1),(56,1),(66,1),(68,1),(71,1),(73,1)}
       65:{3,5}:{(56,1),(67,1),(69,1),(72,1)}
       66:{1,4,7}:{(57,1),(58,1),(64,1),(74,1)}
       67:{1,5}:{(58,1),(65,1)}
       68:{2,4,7}:{(59,1),(60,1),(64,1),(75,1)}
       69:{2,5}:{(60,1),(65,1)}
       70:{3,6,7}:{(61,1),(62,1),(76,1),(78,1)}
       71:{4,7}:{(62,1),(63,1)}
       72:{4,5}:{(63,1),(65,1)}
       73:{3,5,7}:{(64,1),(65,1),(74,1),(75,1),(77,1),(78,1)}
       74:{1,5,7}:{(66,1),(67,1),(73,1),(79,1)}
       75:{2,5,7}:{(68,1),(69,1),(73,1),(80,1)}
       76:{4,6,7}:{(70,1),(71,1),(81,1),(82,1)}
       77:{4,5,7}:{(71,1),(72,1),(73,1),(81,1),(82,1)}
       78:{3,6}:{(73,1),(79,1),(80,1),(82,1)}
       79:{1,6}:{(74,1),(78,1)}
       80:{2,6}:{(75,1),(78,1)}
       81:{5,7}:{(76,1),(83,1)}
       82:{4,6}:{(77,1),(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

1048 :   0:{1,2,3,5}:{(2,1),(4,1),(6,1),(8,1),(26,1),(29,1),(32,1),(38,1)}
         1:{3,4,5}:{(9,1),(10,1),(11,1),(38,1),(65,1)}
         2:{1,2,3}:{(12,1)}
         3:{2,3,4}:{(12,1),(13,1),(20,1)}
         4:{1,2,3}:{(14,1)}
         5:{1,3,4}:{(14,1),(15,1),(20,1)}
         6:{1,2,3,6}:{(0,1),(16,1),(17,1),(43,1),(46,1),(57,1)}
         7:{4,5,6}:{(18,1),(19,1),(78,1),(98,1)}
         8:{1,2,4}:{(0,1),(20,1)}
         9:{2,4,5}:{(1,1),(13,1),(22,1)}
        10:{1,4,5}:{(1,1),(15,1),(23,1)}
        11:{3,4,6}:{(1,1),(18,1),(22,1),(23,1),(24,1),(57,1),(78,1)}
        12:{1,2,4}:{(2,1),(3,1),(25,1),(26,1)}
        13:{2,3,5}:{(3,1),(9,1),(26,1),(27,1),(38,1)}
        14:{1,2,4}:{(4,1),(5,1),(28,1),(29,1)}
        15:{1,3,5}:{(5,1),(10,1),(29,1),(30,1),(38,1)}
        16:{1,2,4,6}:{(6,1),(8,1),(31,1),(32,1),(33,1),(69,1)}
        17:{1,2,3,7}:{(6,1),(33,1),(61,1),(64,1),(73,1)}
        18:{3,5,6}:{(7,1),(11,1),(34,1),(35,1),(36,1)}
        19:{4,5,7}:{(7,1),(36,1),(37,1),(90,1),(103,1)}
        20:{3,4}:{(8,1),(38,1)}
        21:{1,2,4,5}:{(8,1),(9,1),(10,1),(26,1),(29,1),(32,1),(38,1),(39,1),(59,1),(62,1),(65,1)}
        22:{2,4,6}:{(9,1),(11,1),(27,1),(34,1),(40,1)}
        23:{1,4,6}:{(10,1),(11,1),(30,1),(35,1),(41,1)}
        24:{3,4,7}:{(11,1),(36,1),(40,1),(41,1),(73,1),(90,1)}
        25:{1,3,4}:{(12,1),(20,1),(42,1)}
        26:{1,2,5}:{(12,1),(13,1),(42,1),(43,1)}
        27:{2,3,6}:{(13,1),(22,1),(43,1),(44,1),(57,1)}
        28:{2,3,4}:{(14,1),(20,1),(45,1)}
        29:{1,2,5}:{(14,1),(15,1),(45,1),(46,1)}
        30:{1,3,6}:{(15,1),(23,1),(46,1),(47,1),(57,1)}
        31:{3,4,6}:{(16,1),(20,1),(48,1),(49,1),(57,1),(78,1),(81,1)}
        32:{1,2,5}:{(16,1),(48,1)}
        33:{1,2,4,7}:{(16,1),(17,1),(49,1),(51,1)}
        34:{2,5,6}:{(18,1),(22,1),(52,1)}
        35:{1,5,6}:{(18,1),(23,1),(53,1)}
        36:{3,5,7}:{(18,1),(19,1),(24,1),(52,1),(53,1),(54,1)}
        37:{4,6,7}:{(19,1),(54,1),(55,1)}
        38:{3,5}:{(20,1),(21,1),(57,1)}
        39:{1,2,4,6}:{(21,1),(22,1),(23,1),(43,1),(46,1),(50,1),(57,1),(58,1),(74,1),(76,1),(78,1)}
        40:{2,4,7}:{(22,1),(24,1),(44,1),(52,1)}
        41:{1,4,7}:{(23,1),(24,1),(47,1),(53,1)}
        42:{1,3,5}:{(25,1),(26,1),(38,1),(59,1),(60,1)}
        43:{1,2,6}:{(26,1),(27,1),(60,1),(61,1)}
        44:{2,3,7}:{(27,1),(40,1),(61,1),(73,1)}
        45:{2,3,5}:{(28,1),(29,1),(38,1),(62,1),(63,1)}
        46:{1,2,6}:{(29,1),(30,1),(63,1),(64,1)}
        47:{1,3,7}:{(30,1),(41,1),(64,1),(73,1)}
        48:{3,5}:{(31,1),(32,1),(65,1)}
        49:{3,4,7}:{(31,1),(33,1),(67,1),(73,1),(90,1)}
        50:{1,2,5,6}:{(32,1),(34,1),(35,1),(39,1),(66,1),(68,1),(69,1),(85,1),(87,1)}
        51:{1,2,5,7}:{(32,1),(33,1),(67,1),(69,1)}
        52:{2,5,7}:{(34,1),(36,1),(40,1),(70,1)}
        53:{1,5,7}:{(35,1),(36,1),(41,1),(71,1)}
        54:{3,6,7}:{(36,1),(37,1),(70,1),(71,1)}
        55:{5,6,7}:{(37,1),(103,1)}
        56:{3,4,5}:{(38,1),(59,1),(62,1),(65,1),(72,1)}
        57:{3,6}:{(38,1),(39,1),(73,1)}
        58:{1,2,4,7}:{(39,1),(40,1),(41,1),(61,1),(64,1),(68,1),(73,1),(86,1),(88,1),(90,1)}
        59:{1,4,5}:{(42,1),(56,1),(74,1)}
        60:{1,3,6}:{(42,1),(43,1),(57,1),(74,1),(75,1)}
        61:{1,2,7}:{(43,1),(44,1),(75,1)}
        62:{2,4,5}:{(45,1),(56,1),(76,1)}
        63:{2,3,6}:{(45,1),(46,1),(57,1),(76,1),(77,1)}
        64:{1,2,7}:{(46,1),(47,1),(77,1)}
        65:{4,5}:{(48,1),(78,1)}
        66:{3,5,6}:{(48,1),(50,1),(57,1),(78,1),(80,1),(81,1),(98,1)}
        67:{3,5,7}:{(48,1),(49,1),(51,1),(79,1),(81,1)}
        68:{1,2,5,7}:{(50,1),(52,1),(53,1),(58,1),(80,1),(82,1),(94,1),(95,1)}
        69:{1,2,6}:{(51,1),(81,1)}
        70:{2,6,7}:{(52,1),(54,1)}
        71:{1,6,7}:{(53,1),(54,1)}
        72:{3,4,6}:{(56,1),(57,1),(74,1),(76,1),(78,1),(83,1),(84,1)}
        73:{3,7}:{(57,1),(58,1)}
        74:{1,4,6}:{(59,1),(60,1),(72,1),(85,1),(86,1)}
        75:{1,3,7}:{(60,1),(61,1),(73,1),(86,1)}
        76:{2,4,6}:{(62,1),(63,1),(72,1),(87,1),(88,1)}
        77:{2,3,7}:{(63,1),(64,1),(73,1),(88,1)}
        78:{4,6}:{(65,1),(66,1),(90,1)}
        79:{4,5,7}:{(65,1),(67,1),(90,1),(91,1),(103,1)}
        80:{3,5,7}:{(66,1),(68,1),(73,1),(90,1),(92,1),(103,1)}
        81:{3,6}:{(67,1),(69,1),(91,1)}
        82:{1,2,6,7}:{(68,1),(69,1),(70,1),(71,1),(92,1),(100,1),(101,1)}
        83:{3,5,6}:{(72,1),(85,1),(87,1),(89,1),(93,1)}
        84:{3,4,7}:{(72,1),(73,1),(86,1),(88,1),(90,1),(93,1)}
        85:{1,5,6}:{(74,1),(83,1),(94,1)}
        86:{1,4,7}:{(74,1),(75,1),(84,1),(94,1)}
        87:{2,5,6}:{(76,1),(83,1),(95,1)}
        88:{2,4,7}:{(76,1),(77,1),(84,1),(95,1)}
        89:{4,5,6}:{(78,1),(83,1),(96,1),(98,1)}
        90:{4,7}:{(78,1),(80,1)}
        91:{4,6}:{(79,1),(81,1),(98,1)}
        92:{3,6,7}:{(80,1),(81,1),(82,1),(97,1)}
        93:{3,5,7}:{(83,1),(84,1),(94,1),(95,1),(96,1),(99,1)}
        94:{1,5,7}:{(85,1),(86,1),(93,1),(100,1)}
        95:{2,5,7}:{(87,1),(88,1),(93,1),(101,1)}
        96:{4,5,7}:{(89,1),(90,1),(93,1),(102,1),(103,1)}
        97:{4,6,7}:{(90,1),(91,1),(92,1),(103,1)}
        98:{5,6}:{(91,1),(103,1)}
        99:{3,6,7}:{(93,1),(100,1),(101,1),(102,1)}
       100:{1,6,7}:{(94,1),(99,1)}
       101:{2,6,7}:{(95,1),(99,1)}
       102:{4,6,7}:{(96,1),(99,1),(104,1)}
       103:{5,7}:{(97,1),(98,1)}
       104:{5,6,7}:{(102,1),(103,1)}

1049 :  0:{1,2,5,6}:{(2,1),(3,1),(4,1),(34,1),(35,1),(53,1),(54,1)}
        1:{1,2,4,5}:{(3,1),(5,1),(14,1),(21,1),(22,1),(23,1),(34,1),(35,1)}
        2:{3,5,6}:{(0,1),(6,1),(7,1),(8,1),(24,1),(47,1),(48,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(6,1),(8,1),(9,1),(26,1),(27,1),(30,1)}
        4:{1,2,5,7}:{(0,1),(7,1),(9,1),(10,1),(45,1),(46,1)}
        5:{3,5}:{(1,1),(8,1),(11,1)}
        6:{4,6}:{(2,1),(14,1),(16,1)}
        7:{3,5,7}:{(2,1),(4,1),(16,1),(17,1),(20,1),(41,1)}
        8:{3,6}:{(3,1),(5,1),(20,1)}
        9:{1,2,4,7}:{(3,1),(4,1),(16,1),(20,1),(39,1),(40,1),(42,1)}
       10:{1,2,6,7}:{(4,1),(17,1),(53,1),(54,1)}
       11:{3,4}:{(5,1),(21,1),(22,1),(43,1)}
       12:{1,3,5}:{(5,1),(18,1),(21,1),(23,1),(34,1),(43,1),(51,1)}
       13:{2,3,5}:{(5,1),(19,1),(22,1),(23,1),(35,1),(43,1),(51,1)}
       14:{4,5}:{(6,1),(24,1),(56,1)}
       15:{3,4,6}:{(6,1),(8,1),(11,1),(24,1),(26,1),(27,1),(28,1),(47,1),(49,1),(56,1),(61,1)}
       16:{4,7}:{(6,1),(7,1)}
       17:{3,6,7}:{(7,1),(10,1),(29,1),(47,1)}
       18:{1,3,6}:{(8,1),(12,1),(26,1),(30,1),(31,1),(49,1)}
       19:{2,3,6}:{(8,1),(13,1),(27,1),(30,1),(32,1),(49,1)}
       20:{3,7}:{(8,1),(9,1)}
       21:{1,4}:{(11,1),(12,1),(56,1)}
       22:{2,4}:{(11,1),(13,1),(56,1)}
       23:{1,2,5}:{(12,1),(13,1),(30,1),(33,1)}
       24:{3,5}:{(14,1),(15,1),(34,1),(35,1),(62,1)}
       25:{4,5,7}:{(14,1),(16,1),(36,1),(37,1),(41,1),(59,1),(62,1)}
       26:{1,4,6}:{(15,1),(18,1),(21,1),(34,1),(39,1),(53,1)}
       27:{2,4,6}:{(15,1),(19,1),(22,1),(35,1),(40,1),(54,1)}
       28:{3,4,7}:{(15,1),(16,1),(20,1),(36,1),(39,1),(40,1),(55,1),(59,1)}
       29:{4,6,7}:{(16,1),(17,1),(37,1),(41,1)}
       30:{1,2,6}:{(18,1),(19,1),(23,1),(42,1)}
       31:{1,3,7}:{(18,1),(20,1),(39,1),(42,1),(55,1)}
       32:{2,3,7}:{(19,1),(20,1),(40,1),(42,1),(55,1)}
       33:{1,2,4}:{(21,1),(22,1),(23,1),(43,1)}
       34:{1,5}:{(24,1),(26,1)}
       35:{2,5}:{(24,1),(27,1)}
       36:{3,5,7}:{(24,1),(25,1),(28,1),(45,1),(46,1),(47,1)}
       37:{4,6}:{(25,1),(47,1),(48,1)}
       38:{1,2,4,6}:{(26,1),(27,1),(30,1),(33,1),(44,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       39:{1,4,7}:{(26,1),(28,1),(31,1),(45,1)}
       40:{2,4,7}:{(27,1),(28,1),(32,1),(46,1)}
       41:{5,7}:{(29,1),(48,1)}
       42:{1,2,7}:{(30,1),(31,1),(32,1)}
       43:{3}:{(33,1)}
       44:{1,2,5}:{(34,1),(35,1),(38,1),(51,1),(62,1)}
       45:{1,5,7}:{(34,1),(36,1),(39,1),(53,1)}
       46:{2,5,7}:{(35,1),(36,1),(40,1),(54,1)}
       47:{3,6}:{(36,1),(37,1),(53,1),(54,1)}
       48:{5,6}:{(37,1),(41,1),(62,1)}
       49:{3,6}:{(38,1),(43,1),(51,1),(55,1)}
       50:{1,2,4,7}:{(38,1),(39,1),(40,1),(42,1),(52,1),(55,1),(59,1)}
       51:{3,5}:{(44,1),(49,1),(56,1)}
       52:{1,2,5,7}:{(44,1),(45,1),(46,1),(50,1),(57,1),(58,1)}
       53:{1,6}:{(45,1),(47,1)}
       54:{2,6}:{(46,1),(47,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{4}:{(51,1)}
       57:{3,5,7}:{(51,1),(52,1),(55,1),(59,1),(60,1),(62,1)}
       58:{1,2,6}:{(52,1),(53,1),(54,1),(60,1)}
       59:{4,7}:{(56,1),(57,1),(61,1)}
       60:{3,6}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

1050 :   0:{3,4,5,7}:{(1,1),(2,1),(3,1),(20,1),(28,1),(88,1),(91,1),(125,1),(129,1),(131,1),(142,1)}
         1:{1,4,5,7}:{(0,1),(8,1),(11,1),(42,1),(60,1),(94,1),(121,1),(156,1)}
         2:{2,4,5,7}:{(0,1),(9,1),(12,1),(43,1),(63,1),(97,1),(118,1),(152,1)}
         3:{3,4,6}:{(0,1),(11,1),(12,1),(13,1),(54,1),(113,1)}
         4:{1,3,4,7}:{(8,1),(14,1),(15,1),(53,1),(94,1),(151,1),(170,1),(194,1)}
         5:{2,3,4,7}:{(9,1),(16,1),(17,1),(53,1),(97,1),(155,1),(168,1),(198,1)}
         6:{3,4,6,7}:{(3,1),(18,1),(19,1),(20,1),(23,1),(68,1),(72,1),(73,1),(125,1),(129,1),(131,1)}
         7:{3,5,6,7}:{(20,1),(21,1),(22,1),(23,1),(72,1),(73,1)}
         8:{1,3,5,7}:{(1,1),(4,1),(24,1),(25,1),(28,1),(35,1),(147,1),(181,1),(205,1)}
         9:{2,3,5,7}:{(2,1),(5,1),(26,1),(27,1),(28,1),(38,1),(145,1),(177,1),(207,1)}
        10:{1,2,4,5,7}:{(1,1),(2,1),(24,1),(26,1),(28,1),(29,1),(69,1),(74,1),(78,1),(87,1),(90,1),(124,1),(128,1),(131,1),(134,1),(138,1),(142,1),(174,1),(179,1),(205,1),(207,1)}
        11:{1,4,6}:{(1,1),(3,1),(25,1),(30,1)}
        12:{2,4,6}:{(2,1),(3,1),(27,1),(31,1)}
        13:{3,5,6}:{(3,1),(20,1),(30,1),(31,1),(32,1)}
        14:{1,2,4,7}:{(4,1),(24,1),(33,1),(34,1),(74,1),(191,1)}
        15:{1,3,4,6}:{(4,1),(25,1),(34,1),(35,1),(77,1),(82,1),(136,1),(143,1),(185,1)}
        16:{1,2,4,7}:{(5,1),(26,1),(36,1),(37,1),(78,1),(190,1)}
        17:{2,3,4,6}:{(5,1),(27,1),(37,1),(38,1),(81,1),(82,1),(140,1),(146,1),(188,1)}
        18:{1,4,6,7}:{(6,1),(11,1),(39,1),(42,1),(94,1),(103,1),(156,1)}
        19:{2,4,6,7}:{(6,1),(12,1),(40,1),(43,1),(97,1),(102,1),(152,1)}
        20:{3,5,7}:{(6,1),(13,1),(42,1),(43,1),(44,1)}
        21:{1,5,6,7}:{(7,1),(42,1),(45,1),(103,1)}
        22:{2,5,6,7}:{(7,1),(43,1),(46,1),(102,1)}
        23:{4,6,7}:{(7,1),(44,1)}
        24:{1,2,5,7}:{(8,1),(14,1),(47,1),(48,1),(59,1),(172,1),(199,1)}
        25:{1,3,6}:{(8,1),(11,1),(48,1),(54,1),(208,1)}
        26:{1,2,5,7}:{(9,1),(16,1),(50,1),(51,1),(62,1),(169,1),(195,1)}
        27:{2,3,6}:{(9,1),(12,1),(51,1),(54,1),(209,1)}
        28:{3,5,7}:{(10,1),(53,1),(54,1),(112,1),(117,1),(120,1),(151,1),(155,1)}
        29:{1,2,4,6}:{(10,1),(11,1),(12,1),(48,1),(51,1),(54,1),(55,1),(104,1),(108,1),(113,1),(192,1),(196,1),(208,1),(209,1)}
        30:{1,5,6}:{(11,1),(13,1),(42,1)}
        31:{2,5,6}:{(12,1),(13,1),(43,1)}
        32:{4,5,6}:{(13,1),(44,1),(113,1)}
        33:{2,3,7}:{(14,1),(58,1),(151,1),(203,1)}
        34:{1,2,4,6}:{(14,1),(15,1),(48,1),(58,1),(59,1),(104,1),(116,1)}
        35:{1,3,5}:{(15,1),(59,1),(60,1),(112,1),(117,1),(200,1)}
        36:{1,3,7}:{(16,1),(61,1),(155,1),(202,1)}
        37:{1,2,4,6}:{(16,1),(17,1),(51,1),(61,1),(62,1),(108,1),(119,1)}
        38:{2,3,5}:{(17,1),(62,1),(63,1),(112,1),(120,1),(201,1)}
        39:{1,3,6,7}:{(18,1),(25,1),(64,1),(65,1),(68,1),(72,1),(181,1)}
        40:{2,3,6,7}:{(19,1),(27,1),(66,1),(67,1),(68,1),(73,1),(177,1)}
        41:{1,2,4,6,7}:{(18,1),(19,1),(29,1),(64,1),(66,1),(68,1),(69,1),(122,1),(124,1),(126,1),(128,1),(131,1)}
        42:{1,5,7}:{(18,1),(20,1),(30,1)}
        43:{2,5,7}:{(19,1),(20,1),(31,1)}
        44:{4,5,7}:{(20,1),(23,1),(32,1),(131,1)}
        45:{1,4,6,7}:{(21,1),(23,1),(70,1),(72,1)}
        46:{2,4,6,7}:{(22,1),(23,1),(71,1),(73,1)}
        47:{2,3,5,7}:{(24,1),(28,1),(33,1),(74,1),(75,1),(86,1),(134,1),(148,1),(182,1),(207,1)}
        48:{1,2,6}:{(24,1),(25,1),(75,1)}
        49:{1,3,5,6}:{(25,1),(30,1),(35,1),(65,1),(76,1),(77,1),(83,1),(84,1),(136,1)}
        50:{1,3,5,7}:{(26,1),(28,1),(36,1),(78,1),(79,1),(89,1),(138,1),(144,1),(176,1),(205,1)}
        51:{1,2,6}:{(26,1),(27,1),(79,1)}
        52:{2,3,5,6}:{(27,1),(31,1),(38,1),(67,1),(80,1),(81,1),(83,1),(85,1),(140,1)}
        53:{3,4,7}:{(28,1),(74,1),(78,1),(82,1),(131,1),(143,1),(146,1)}
        54:{3,6}:{(28,1),(29,1)}
        55:{1,2,5,6}:{(29,1),(30,1),(31,1),(69,1),(83,1),(134,1),(138,1),(173,1),(178,1)}
        56:{1,4,5,6}:{(30,1),(32,1),(70,1),(77,1),(84,1)}
        57:{2,4,5,6}:{(31,1),(32,1),(71,1),(81,1),(85,1)}
        58:{2,3,6}:{(33,1),(34,1),(86,1),(136,1)}
        59:{1,2,5}:{(34,1),(35,1),(86,1),(134,1)}
        60:{1,4,5}:{(35,1),(77,1),(88,1),(142,1)}
        61:{1,3,6}:{(36,1),(37,1),(89,1),(140,1)}
        62:{1,2,5}:{(37,1),(38,1),(89,1),(138,1)}
        63:{2,4,5}:{(38,1),(81,1),(91,1),(142,1)}
        64:{1,2,6,7}:{(39,1),(48,1),(92,1),(93,1),(102,1),(199,1),(208,1)}
        65:{1,3,5,7}:{(39,1),(42,1),(49,1),(93,1),(94,1),(99,1),(100,1),(151,1)}
        66:{1,2,6,7}:{(40,1),(51,1),(95,1),(96,1),(103,1),(195,1),(209,1)}
        67:{2,3,5,7}:{(40,1),(43,1),(52,1),(96,1),(97,1),(99,1),(101,1),(155,1)}
        68:{3,6,7}:{(41,1),(54,1),(99,1),(151,1),(155,1)}
        69:{1,2,5,7}:{(41,1),(42,1),(43,1),(55,1),(99,1),(149,1),(153,1)}
        70:{1,4,5,7}:{(42,1),(44,1),(45,1),(56,1),(94,1),(100,1)}
        71:{2,4,5,7}:{(43,1),(44,1),(46,1),(57,1),(97,1),(101,1)}
        72:{3,6,7}:{(45,1),(100,1),(102,1)}
        73:{3,6,7}:{(46,1),(101,1),(103,1)}
        74:{2,4,7}:{(47,1),(53,1),(104,1),(116,1),(171,1)}
        75:{2,3,6}:{(47,1),(48,1),(54,1),(104,1),(209,1)}
        76:{1,2,5,6}:{(48,1),(49,1),(59,1),(93,1),(105,1),(106,1),(114,1),(200,1),(208,1)}
        77:{1,4,6}:{(49,1),(60,1),(94,1),(107,1),(113,1)}
        78:{1,4,7}:{(50,1),(53,1),(108,1),(119,1),(167,1)}
        79:{1,3,6}:{(50,1),(51,1),(54,1),(108,1),(208,1)}
        80:{1,2,5,6}:{(51,1),(52,1),(62,1),(96,1),(109,1),(110,1),(115,1),(201,1),(209,1)}
        81:{2,4,6}:{(52,1),(63,1),(97,1),(111,1),(113,1)}
        82:{3,4,6}:{(53,1),(54,1),(104,1),(108,1),(112,1),(113,1)}
        83:{3,5,6}:{(54,1),(55,1),(99,1),(112,1),(113,1)}
        84:{3,5,6}:{(56,1),(100,1),(107,1),(114,1)}
        85:{3,5,6}:{(57,1),(101,1),(111,1),(115,1)}
        86:{2,3,5}:{(58,1),(59,1),(116,1),(117,1)}
        87:{1,2,4,5}:{(59,1),(60,1),(106,1),(116,1),(117,1),(118,1),(159,1),(167,1),(169,1),(200,1)}
        88:{3,4,5}:{(60,1),(107,1),(117,1),(118,1)}
        89:{1,3,5}:{(61,1),(62,1),(119,1),(120,1)}
        90:{1,2,4,5}:{(62,1),(63,1),(110,1),(119,1),(120,1),(121,1),(163,1),(171,1),(172,1),(201,1)}
        91:{3,4,5}:{(63,1),(111,1),(120,1),(121,1)}
        92:{2,3,6,7}:{(64,1),(68,1),(75,1),(122,1),(123,1),(182,1),(204,1)}
        93:{1,2,5,7}:{(64,1),(65,1),(76,1),(123,1),(124,1),(132,1),(205,1)}
        94:{1,4,7}:{(65,1),(77,1),(125,1),(131,1)}
        95:{1,3,6,7}:{(66,1),(68,1),(79,1),(126,1),(127,1),(176,1),(206,1)}
        96:{1,2,5,7}:{(66,1),(67,1),(80,1),(127,1),(128,1),(133,1),(207,1)}
        97:{2,4,7}:{(67,1),(81,1),(129,1),(131,1)}
        98:{3,4,6,7}:{(68,1),(82,1),(122,1),(126,1),(130,1),(131,1),(175,1),(180,1),(183,1),(204,1),(206,1)}
        99:{3,5,7}:{(68,1),(69,1),(83,1),(131,1)}
       100:{3,5,7}:{(70,1),(72,1),(84,1),(125,1),(132,1)}
       101:{3,5,7}:{(71,1),(73,1),(85,1),(129,1),(133,1)}
       102:{2,6,7}:{(72,1),(132,1)}
       103:{1,6,7}:{(73,1),(133,1)}
       104:{2,4,6}:{(74,1),(75,1),(82,1),(134,1)}
       105:{2,3,5,6}:{(75,1),(76,1),(83,1),(86,1),(123,1),(134,1),(135,1),(136,1),(173,1),(184,1),(204,1)}
       106:{1,2,4,6}:{(76,1),(77,1),(87,1),(124,1),(135,1),(136,1),(137,1),(185,1),(186,1)}
       107:{3,4,6}:{(77,1),(84,1),(88,1),(125,1),(136,1),(137,1)}
       108:{1,4,6}:{(78,1),(79,1),(82,1),(138,1)}
       109:{1,3,5,6}:{(79,1),(80,1),(83,1),(89,1),(127,1),(138,1),(139,1),(140,1),(178,1),(187,1),(206,1)}
       110:{1,2,4,6}:{(80,1),(81,1),(90,1),(128,1),(139,1),(140,1),(141,1),(188,1),(189,1)}
       111:{3,4,6}:{(81,1),(85,1),(91,1),(129,1),(140,1),(141,1)}
       112:{3,5}:{(82,1),(134,1),(138,1),(142,1)}
       113:{4,6}:{(83,1),(131,1),(142,1)}
       114:{2,5,6}:{(84,1),(132,1),(137,1)}
       115:{1,5,6}:{(85,1),(133,1),(141,1)}
       116:{2,4}:{(86,1),(143,1)}
       117:{3,5}:{(87,1),(136,1),(143,1)}
       118:{2,4,5}:{(88,1),(137,1),(145,1)}
       119:{1,4}:{(89,1),(146,1)}
       120:{3,5}:{(90,1),(140,1),(146,1)}
       121:{1,4,5}:{(91,1),(141,1),(147,1)}
       122:{2,4,6,7}:{(92,1),(98,1),(104,1),(149,1),(150,1),(192,1),(198,1),(209,1)}
       123:{2,3,5,7}:{(92,1),(93,1),(99,1),(105,1),(149,1),(150,1),(151,1),(193,1)}
       124:{1,2,4,7}:{(93,1),(94,1),(106,1),(150,1),(151,1),(152,1),(194,1),(195,1)}
       125:{3,4,7}:{(94,1),(100,1),(107,1),(151,1),(152,1)}
       126:{1,4,6,7}:{(95,1),(98,1),(108,1),(153,1),(154,1),(194,1),(196,1),(208,1)}
       127:{1,3,5,7}:{(95,1),(96,1),(99,1),(109,1),(153,1),(154,1),(155,1),(197,1)}
       128:{1,2,4,7}:{(96,1),(97,1),(110,1),(154,1),(155,1),(156,1),(198,1),(199,1)}
       129:{3,4,7}:{(97,1),(101,1),(111,1),(155,1),(156,1)}
       130:{3,5,7}:{(98,1),(112,1),(149,1),(153,1),(157,1),(158,1)}
       131:{4,7}:{(99,1),(113,1)}
       132:{2,5,7}:{(100,1),(102,1),(114,1),(152,1)}
       133:{1,5,7}:{(101,1),(103,1),(115,1),(156,1)}
       134:{2,5}:{(104,1),(112,1)}
       135:{2,4,6}:{(105,1),(113,1),(116,1),(150,1),(159,1),(160,1)}
       136:{3,6}:{(106,1),(117,1),(151,1)}
       137:{2,4,6}:{(107,1),(114,1),(118,1),(152,1),(162,1)}
       138:{1,5}:{(108,1),(112,1)}
       139:{1,4,6}:{(109,1),(113,1),(119,1),(154,1),(163,1),(164,1)}
       140:{3,6}:{(110,1),(120,1),(155,1)}
       141:{1,4,6}:{(111,1),(115,1),(121,1),(156,1),(165,1)}
       142:{4,5}:{(112,1),(113,1)}
       143:{3,4}:{(116,1),(117,1),(167,1)}
       144:{1,3,5}:{(117,1),(161,1),(167,1),(169,1),(200,1),(202,1)}
       145:{2,3,5}:{(117,1),(118,1),(162,1),(168,1),(169,1)}
       146:{3,4}:{(119,1),(120,1),(171,1)}
       147:{1,3,5}:{(120,1),(121,1),(165,1),(170,1),(172,1)}
       148:{2,3,5}:{(120,1),(166,1),(171,1),(172,1),(201,1),(203,1)}
       149:{2,5,7}:{(122,1),(130,1),(134,1),(173,1)}
       150:{2,4,7}:{(123,1),(131,1),(135,1),(175,1)}
       151:{3,7}:{(124,1),(136,1)}
       152:{2,4,7}:{(125,1),(132,1),(137,1),(177,1)}
       153:{1,5,7}:{(126,1),(130,1),(138,1),(178,1)}
       154:{1,4,7}:{(127,1),(131,1),(139,1),(180,1)}
       155:{3,7}:{(128,1),(140,1)}
       156:{1,4,7}:{(129,1),(133,1),(141,1),(181,1)}
       157:{3,5,6}:{(130,1),(173,1),(178,1),(183,1),(204,1),(206,1)}
       158:{4,5,7}:{(130,1),(131,1),(142,1),(183,1)}
       159:{2,4,5}:{(134,1),(135,1),(142,1),(184,1)}
       160:{3,4,6}:{(135,1),(136,1),(143,1),(175,1),(184,1),(185,1),(204,1)}
       161:{1,3,6}:{(136,1),(144,1),(176,1),(185,1),(186,1)}
       162:{2,3,6}:{(136,1),(137,1),(145,1),(177,1),(186,1)}
       163:{1,4,5}:{(138,1),(139,1),(142,1),(187,1)}
       164:{3,4,6}:{(139,1),(140,1),(146,1),(180,1),(187,1),(188,1),(206,1)}
       165:{1,3,6}:{(140,1),(141,1),(147,1),(181,1),(189,1)}
       166:{2,3,6}:{(140,1),(148,1),(182,1),(188,1),(189,1)}
       167:{1,4}:{(143,1),(144,1)}
       168:{2,3,4}:{(143,1),(145,1),(190,1)}
       169:{1,2,5}:{(144,1),(145,1),(186,1),(190,1)}
       170:{1,3,4}:{(146,1),(147,1),(191,1)}
       171:{2,4}:{(146,1),(148,1)}
       172:{1,2,5}:{(147,1),(148,1),(189,1),(191,1)}
       173:{2,5,6}:{(149,1),(157,1),(192,1),(209,1)}
       174:{2,4,5,7}:{(149,1),(150,1),(158,1),(159,1),(192,1),(193,1)}
       175:{3,4,7}:{(150,1),(151,1),(160,1),(193,1),(194,1)}
       176:{1,3,7}:{(151,1),(161,1),(194,1),(195,1)}
       177:{2,3,7}:{(151,1),(152,1),(162,1),(195,1)}
       178:{1,5,6}:{(153,1),(157,1),(196,1),(208,1)}
       179:{1,4,5,7}:{(153,1),(154,1),(158,1),(163,1),(196,1),(197,1)}
       180:{3,4,7}:{(154,1),(155,1),(164,1),(197,1),(198,1)}
       181:{1,3,7}:{(155,1),(156,1),(165,1),(199,1)}
       182:{2,3,7}:{(155,1),(166,1),(198,1),(199,1)}
       183:{4,6}:{(157,1),(158,1)}
       184:{3,5}:{(159,1),(160,1),(200,1)}
       185:{1,4,6}:{(160,1),(161,1),(167,1),(194,1),(200,1),(208,1)}
       186:{1,2,6}:{(161,1),(162,1),(169,1),(195,1)}
       187:{3,5}:{(163,1),(164,1),(201,1)}
       188:{2,4,6}:{(164,1),(166,1),(171,1),(198,1),(201,1),(209,1)}
       189:{1,2,6}:{(165,1),(166,1),(172,1),(199,1)}
       190:{1,2,4}:{(167,1),(168,1),(169,1),(202,1)}
       191:{1,2,4}:{(170,1),(171,1),(172,1),(203,1)}
       192:{2,4,6}:{(173,1),(174,1),(183,1),(204,1)}
       193:{3,5,7}:{(174,1),(175,1),(184,1),(204,1),(205,1)}
       194:{1,4,7}:{(175,1),(176,1),(185,1),(205,1)}
       195:{1,2,7}:{(176,1),(177,1),(186,1)}
       196:{1,4,6}:{(178,1),(179,1),(183,1),(206,1)}
       197:{3,5,7}:{(179,1),(180,1),(187,1),(206,1),(207,1)}
       198:{2,4,7}:{(180,1),(182,1),(188,1),(207,1)}
       199:{1,2,7}:{(181,1),(182,1),(189,1)}
       200:{1,5}:{(184,1),(185,1)}
       201:{2,5}:{(187,1),(188,1)}
       202:{1,3}:{(190,1)}
       203:{2,3}:{(191,1)}
       204:{3,6}:{(192,1),(193,1),(208,1)}
       205:{1,5,7}:{(193,1),(194,1),(200,1),(208,1)}
       206:{3,6}:{(196,1),(197,1),(209,1)}
       207:{2,5,7}:{(197,1),(198,1),(201,1),(209,1)}
       208:{1,6}:{(204,1),(205,1)}
       209:{2,6}:{(206,1),(207,1)}

1051 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(11,1),(27,1),(31,1),(70,1)}
         1:{1,2,4,7}:{(0,1),(4,1),(5,1),(91,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(16,1),(45,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(11,1),(22,1),(23,1),(26,1),(27,1),(35,1),(64,1),(71,1),(106,1)}
         4:{3,4,7}:{(1,1),(6,1),(10,1),(64,1),(113,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1)}
         6:{3,5,7}:{(3,1),(4,1),(16,1),(21,1),(92,1),(125,1)}
         7:{1,2,4,6}:{(3,1),(16,1),(17,1),(38,1),(39,1),(45,1),(48,1)}
         8:{1,3,4,7}:{(4,1),(14,1),(18,1),(19,1),(79,1),(85,1),(125,1),(130,1)}
         9:{2,3,4,7}:{(4,1),(15,1),(18,1),(20,1),(79,1),(86,1),(125,1),(131,1)}
        10:{3,4,6}:{(4,1),(5,1),(16,1),(21,1),(48,1)}
        11:{1,2,5}:{(5,1),(21,1)}
        12:{3,4,5,7}:{(6,1),(22,1),(23,1),(24,1),(35,1),(55,1),(56,1),(64,1),(72,1),(73,1),(107,1),(108,1),(135,1),(138,1)}
        13:{1,2,4,6,7}:{(7,1),(25,1),(26,1),(53,1),(54,1),(61,1),(64,1),(106,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(22,1),(27,1),(28,1),(33,1),(56,1),(114,1),(139,1)}
        15:{2,3,5,7}:{(6,1),(9,1),(23,1),(27,1),(29,1),(34,1),(56,1),(115,1),(140,1)}
        16:{3,6}:{(6,1),(7,1)}
        17:{1,2,5,6}:{(7,1),(11,1),(26,1),(30,1),(58,1),(59,1)}
        18:{1,2,4,7}:{(8,1),(9,1),(27,1),(31,1),(32,1),(142,1)}
        19:{1,3,4,6}:{(8,1),(10,1),(28,1),(32,1),(33,1),(68,1),(102,1),(110,1),(113,1)}
        20:{2,3,4,6}:{(9,1),(10,1),(29,1),(32,1),(34,1),(69,1),(102,1),(110,1),(113,1)}
        21:{3,5}:{(10,1),(11,1),(35,1)}
        22:{1,4,5,7}:{(12,1),(14,1),(38,1),(51,1),(76,1),(85,1),(94,1),(127,1)}
        23:{2,4,5,7}:{(12,1),(15,1),(39,1),(52,1),(77,1),(86,1),(93,1),(126,1)}
        24:{3,4,6}:{(12,1),(16,1),(38,1),(39,1),(40,1),(48,1),(80,1),(122,1)}
        25:{3,6,7}:{(13,1),(16,1),(43,1),(125,1)}
        26:{1,2,5,7}:{(13,1),(17,1),(43,1),(76,1),(77,1)}
        27:{1,2,5,7}:{(14,1),(15,1),(18,1),(45,1),(50,1),(132,1),(145,1)}
        28:{1,3,6}:{(14,1),(16,1),(38,1),(45,1),(80,1)}
        29:{2,3,6}:{(15,1),(16,1),(39,1),(45,1),(80,1)}
        30:{3,5,6}:{(16,1),(17,1),(21,1),(43,1),(48,1)}
        31:{1,2,3,7}:{(18,1),(49,1),(125,1),(145,1),(146,1)}
        32:{1,2,4,6}:{(18,1),(19,1),(20,1),(45,1),(49,1),(50,1),(91,1)}
        33:{1,3,5}:{(19,1),(21,1),(50,1),(51,1),(92,1),(121,1)}
        34:{2,3,5}:{(20,1),(21,1),(50,1),(52,1),(92,1),(121,1)}
        35:{4,5}:{(21,1),(48,1)}
        36:{3,4,6,7}:{(24,1),(25,1),(53,1),(54,1),(55,1),(64,1),(97,1),(98,1),(107,1),(108,1),(133,1),(134,1),(135,1)}
        37:{1,2,4,5,7}:{(22,1),(23,1),(27,1),(56,1),(57,1),(65,1),(71,1),(99,1),(106,1),(109,1),(135,1),(138,1)}
        38:{1,4,6}:{(22,1),(24,1),(28,1),(58,1)}
        39:{2,4,6}:{(23,1),(24,1),(29,1),(59,1)}
        40:{3,5,6}:{(24,1),(55,1),(58,1),(59,1),(60,1)}
        41:{1,3,6,7}:{(25,1),(28,1),(53,1),(61,1),(62,1),(98,1),(133,1),(139,1)}
        42:{2,3,6,7}:{(25,1),(29,1),(54,1),(61,1),(63,1),(98,1),(134,1),(140,1)}
        43:{3,5,7}:{(25,1),(26,1),(30,1),(64,1)}
        44:{1,2,3,5,7}:{(27,1),(31,1),(56,1),(65,1),(66,1),(70,1),(109,1)}
        45:{1,2,6}:{(27,1),(28,1),(29,1)}
        46:{1,3,5,6}:{(28,1),(30,1),(33,1),(58,1),(62,1),(67,1),(68,1),(103,1),(104,1),(110,1)}
        47:{2,3,5,6}:{(29,1),(30,1),(34,1),(59,1),(63,1),(67,1),(69,1),(103,1),(105,1),(110,1)}
        48:{4,6}:{(30,1),(35,1),(64,1)}
        49:{1,2,3,6}:{(31,1),(32,1),(70,1),(110,1),(141,1)}
        50:{1,2,5}:{(32,1),(33,1),(34,1)}
        51:{1,4,5}:{(33,1),(35,1),(68,1),(72,1),(138,1)}
        52:{2,4,5}:{(34,1),(35,1),(69,1),(73,1),(138,1)}
        53:{1,4,6,7}:{(36,1),(38,1),(41,1),(76,1),(85,1),(127,1),(144,1)}
        54:{2,4,6,7}:{(36,1),(39,1),(42,1),(77,1),(86,1),(126,1),(143,1)}
        55:{3,5,7}:{(36,1),(40,1),(76,1),(77,1),(78,1)}
        56:{3,5,7}:{(37,1),(79,1),(80,1),(92,1),(121,1),(125,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(39,1),(45,1),(80,1),(81,1),(122,1)}
        58:{1,5,6}:{(38,1),(40,1),(76,1)}
        59:{2,5,6}:{(39,1),(40,1),(77,1)}
        60:{4,5,6}:{(40,1),(48,1),(78,1),(122,1)}
        61:{1,2,6,7}:{(41,1),(42,1),(45,1),(84,1),(143,1),(144,1),(145,1)}
        62:{1,3,5,7}:{(41,1),(43,1),(46,1),(76,1),(84,1),(85,1),(118,1),(119,1),(125,1)}
        63:{2,3,5,7}:{(42,1),(43,1),(47,1),(77,1),(84,1),(86,1),(118,1),(120,1),(125,1)}
        64:{4,7}:{(43,1),(48,1)}
        65:{1,2,4,7}:{(44,1),(79,1),(87,1),(91,1)}
        66:{1,2,3,6}:{(44,1),(45,1),(80,1),(87,1)}
        67:{1,2,5,6}:{(45,1),(46,1),(47,1),(50,1),(84,1),(88,1),(123,1),(124,1)}
        68:{1,4,6}:{(46,1),(48,1),(51,1),(85,1),(89,1),(122,1)}
        69:{2,4,6}:{(47,1),(48,1),(52,1),(86,1),(90,1),(122,1)}
        70:{1,2,3,5}:{(49,1),(50,1),(91,1),(92,1),(132,1),(146,1)}
        71:{1,2,4,5}:{(50,1),(51,1),(52,1),(88,1),(91,1),(92,1),(93,1),(94,1),(132,1)}
        72:{3,4,5}:{(51,1),(89,1),(92,1),(93,1)}
        73:{3,4,5}:{(52,1),(90,1),(92,1),(94,1)}
        74:{3,5,6,7}:{(55,1),(95,1),(96,1),(97,1),(133,1),(134,1)}
        75:{1,2,4,6,7}:{(53,1),(54,1),(57,1),(61,1),(98,1),(99,1),(106,1),(135,1)}
        76:{1,5,7}:{(53,1),(55,1),(58,1)}
        77:{2,5,7}:{(54,1),(55,1),(59,1)}
        78:{4,5,7}:{(55,1),(60,1),(64,1),(97,1),(135,1)}
        79:{3,4,7}:{(56,1),(65,1),(102,1),(113,1),(135,1)}
        80:{3,6}:{(56,1),(57,1)}
        81:{1,2,5,6}:{(57,1),(58,1),(59,1),(99,1),(103,1),(109,1)}
        82:{1,4,5,6}:{(58,1),(60,1),(68,1),(100,1),(104,1)}
        83:{2,4,5,6}:{(59,1),(60,1),(69,1),(101,1),(105,1)}
        84:{1,2,5,7}:{(61,1),(62,1),(63,1),(67,1),(106,1),(136,1),(137,1)}
        85:{1,4,7}:{(62,1),(64,1),(68,1),(107,1),(135,1)}
        86:{2,4,7}:{(63,1),(64,1),(69,1),(108,1),(135,1)}
        87:{1,2,4,6}:{(65,1),(66,1),(102,1),(109,1)}
        88:{1,2,4,6}:{(67,1),(68,1),(69,1),(71,1),(106,1),(110,1),(111,1),(112,1),(141,1)}
        89:{3,4,6}:{(68,1),(72,1),(104,1),(107,1),(110,1),(111,1)}
        90:{3,4,6}:{(69,1),(73,1),(105,1),(108,1),(110,1),(112,1)}
        91:{1,2,4}:{(70,1),(113,1)}
        92:{3,5}:{(71,1),(110,1),(113,1)}
        93:{2,4,5}:{(72,1),(111,1),(115,1)}
        94:{1,4,5}:{(73,1),(112,1),(114,1)}
        95:{1,5,6,7}:{(74,1),(76,1),(116,1),(144,1)}
        96:{2,5,6,7}:{(74,1),(77,1),(117,1),(143,1)}
        97:{4,6,7}:{(74,1),(78,1)}
        98:{3,6,7}:{(75,1),(80,1),(118,1),(125,1)}
        99:{1,2,5,7}:{(75,1),(76,1),(77,1),(81,1),(118,1)}
       100:{1,4,5,7}:{(76,1),(78,1),(82,1),(85,1),(116,1),(119,1)}
       101:{2,4,5,7}:{(77,1),(78,1),(83,1),(86,1),(117,1),(120,1)}
       102:{3,4,6}:{(79,1),(80,1),(87,1),(121,1),(122,1)}
       103:{3,5,6}:{(80,1),(81,1),(118,1),(121,1),(122,1)}
       104:{3,5,6}:{(82,1),(89,1),(119,1),(123,1)}
       105:{3,5,6}:{(83,1),(90,1),(120,1),(124,1)}
       106:{1,2,4,7}:{(84,1),(85,1),(86,1),(88,1),(125,1),(126,1),(127,1),(145,1)}
       107:{3,4,7}:{(85,1),(89,1),(119,1),(125,1),(126,1)}
       108:{3,4,7}:{(86,1),(90,1),(120,1),(125,1),(127,1)}
       109:{1,2,5}:{(87,1),(121,1)}
       110:{3,6}:{(88,1),(92,1),(125,1)}
       111:{2,4,6}:{(89,1),(93,1),(123,1),(126,1),(129,1)}
       112:{1,4,6}:{(90,1),(94,1),(124,1),(127,1),(128,1)}
       113:{3,4}:{(91,1),(92,1)}
       114:{1,3,5}:{(92,1),(94,1),(128,1),(130,1),(132,1)}
       115:{2,3,5}:{(92,1),(93,1),(129,1),(131,1),(132,1)}
       116:{1,4,6,7}:{(95,1),(97,1),(100,1),(133,1)}
       117:{2,4,6,7}:{(96,1),(97,1),(101,1),(134,1)}
       118:{3,5,7}:{(98,1),(99,1),(103,1),(135,1)}
       119:{3,5,7}:{(100,1),(104,1),(107,1),(133,1),(136,1)}
       120:{3,5,7}:{(101,1),(105,1),(108,1),(134,1),(137,1)}
       121:{3,5}:{(102,1),(109,1),(138,1)}
       122:{4,6}:{(103,1),(135,1),(138,1)}
       123:{2,5,6}:{(104,1),(111,1),(136,1)}
       124:{1,5,6}:{(105,1),(112,1),(137,1)}
       125:{3,7}:{(106,1),(110,1)}
       126:{2,4,7}:{(107,1),(111,1),(136,1),(140,1)}
       127:{1,4,7}:{(108,1),(112,1),(137,1),(139,1)}
       128:{1,3,6}:{(110,1),(112,1),(114,1),(139,1),(141,1)}
       129:{2,3,6}:{(110,1),(111,1),(115,1),(140,1),(141,1)}
       130:{1,3,4}:{(113,1),(114,1),(142,1)}
       131:{2,3,4}:{(113,1),(115,1),(142,1)}
       132:{1,2,5}:{(114,1),(115,1),(141,1),(142,1)}
       133:{3,6,7}:{(116,1),(119,1),(143,1)}
       134:{3,6,7}:{(117,1),(120,1),(144,1)}
       135:{4,7}:{(118,1),(122,1)}
       136:{2,5,7}:{(119,1),(123,1),(126,1),(143,1)}
       137:{1,5,7}:{(120,1),(124,1),(127,1),(144,1)}
       138:{4,5}:{(121,1),(122,1)}
       139:{1,3,7}:{(125,1),(127,1),(128,1),(145,1)}
       140:{2,3,7}:{(125,1),(126,1),(129,1),(145,1)}
       141:{1,2,6}:{(128,1),(129,1),(132,1),(145,1)}
       142:{1,2,4}:{(130,1),(131,1),(132,1),(146,1)}
       143:{2,6,7}:{(133,1),(136,1)}
       144:{1,6,7}:{(134,1),(137,1)}
       145:{1,2,7}:{(139,1),(140,1),(141,1)}
       146:{1,2,3}:{(142,1)}

1052 :   0:{1,2,3,6,7}:{(1,1),(2,1),(26,1),(56,1),(57,1),(61,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(6,1),(15,1),(68,1),(69,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(43,1),(48,1),(75,1),(76,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(11,1),(22,1),(26,1)}
         4:{1,2,5,7}:{(1,1),(7,1),(8,1),(85,1),(86,1)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(10,1),(26,1),(29,1),(59,1),(60,1),(61,1),(65,1),(66,1)}
         6:{1,2,4,7}:{(2,1),(10,1),(11,1),(91,1),(92,1)}
         7:{3,5,7}:{(3,1),(4,1),(12,1),(13,1)}
         8:{1,2,5,6}:{(4,1),(12,1),(15,1),(70,1),(71,1)}
         9:{1,2,4,5,7}:{(4,1),(6,1),(13,1),(15,1),(16,1),(17,1),(36,1),(37,1),(43,1)}
        10:{1,2,4,6}:{(5,1),(6,1),(17,1),(18,1),(78,1),(79,1)}
        11:{3,4,7}:{(6,1),(16,1),(18,1)}
        12:{3,5,6}:{(7,1),(8,1),(22,1),(26,1)}
        13:{4,5,7}:{(7,1),(22,1)}
        14:{1,2,5,6,7}:{(8,1),(21,1),(24,1),(85,1),(86,1)}
        15:{1,2,4,6}:{(8,1),(9,1),(22,1),(26,1),(52,1),(53,1),(61,1)}
        16:{3,5,7}:{(9,1),(11,1),(26,1),(29,1)}
        17:{1,2,4,5}:{(10,1),(29,1),(63,1),(64,1),(65,1)}
        18:{3,4,6}:{(10,1),(11,1),(26,1),(29,1)}
        19:{1,3,4,7}:{(11,1),(27,1),(30,1),(32,1),(90,1),(91,1),(109,1)}
        20:{2,3,4,7}:{(11,1),(28,1),(31,1),(32,1),(90,1),(92,1),(109,1)}
        21:{3,5,6,7}:{(12,1),(14,1),(33,1),(39,1),(67,1)}
        22:{4,6}:{(12,1),(13,1)}
        23:{3,4,5,7}:{(13,1),(16,1),(35,1),(36,1),(37,1),(44,1),(67,1),(73,1),(74,1),(110,1),(111,1)}
        24:{1,2,4,6,7}:{(14,1),(15,1),(33,1),(38,1),(39,1),(68,1),(69,1),(77,1)}
        25:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(38,1),(40,1),(70,1),(71,1),(78,1),(79,1),(80,1)}
        26:{3,6}:{(15,1),(16,1)}
        27:{1,3,5,7}:{(16,1),(19,1),(36,1),(41,1),(43,1),(45,1),(73,1)}
        28:{2,3,5,7}:{(16,1),(20,1),(37,1),(42,1),(43,1),(46,1),(73,1)}
        29:{3,5}:{(17,1),(18,1)}
        30:{1,3,4,6}:{(18,1),(19,1),(41,1),(45,1),(47,1),(78,1),(101,1),(103,1),(105,1)}
        31:{2,3,4,6}:{(18,1),(20,1),(42,1),(46,1),(47,1),(79,1),(101,1),(103,1),(105,1)}
        32:{1,2,4,7}:{(19,1),(20,1),(43,1),(47,1),(48,1)}
        33:{4,6,7}:{(21,1),(22,1),(49,1)}
        34:{4,5,6}:{(22,1),(49,1),(51,1),(107,1)}
        35:{3,4,6}:{(22,1),(23,1),(26,1),(51,1),(52,1),(53,1),(89,1),(107,1)}
        36:{1,4,5,7}:{(23,1),(27,1),(52,1),(63,1),(85,1),(91,1)}
        37:{2,4,5,7}:{(23,1),(28,1),(53,1),(64,1),(86,1),(92,1)}
        38:{1,2,4,5,7}:{(24,1),(25,1),(49,1),(55,1),(85,1),(86,1),(91,1),(92,1),(93,1)}
        39:{3,6,7}:{(24,1),(26,1),(55,1)}
        40:{3,5,6}:{(25,1),(26,1),(29,1),(55,1),(58,1)}
        41:{1,3,6}:{(26,1),(27,1),(52,1),(61,1),(89,1)}
        42:{2,3,6}:{(26,1),(28,1),(53,1),(61,1),(89,1)}
        43:{1,2,5,7}:{(27,1),(28,1),(32,1),(61,1),(65,1)}
        44:{3,4,5}:{(29,1),(58,1),(63,1),(64,1),(96,1)}
        45:{1,3,5}:{(29,1),(30,1),(63,1),(65,1),(96,1),(108,1)}
        46:{2,3,5}:{(29,1),(31,1),(64,1),(65,1),(96,1),(108,1)}
        47:{1,2,4,6}:{(30,1),(31,1),(32,1),(61,1),(65,1),(66,1),(97,1)}
        48:{1,2,3,7}:{(32,1),(66,1),(109,1)}
        49:{4,5,7}:{(33,1),(34,1),(67,1),(110,1)}
        50:{3,4,6,7}:{(33,1),(35,1),(39,1),(67,1),(68,1),(69,1),(74,1),(99,1),(110,1)}
        51:{3,5,6}:{(34,1),(35,1),(67,1),(70,1),(71,1)}
        52:{1,4,6}:{(35,1),(36,1),(41,1),(70,1)}
        53:{2,4,6}:{(35,1),(37,1),(42,1),(71,1)}
        54:{1,2,4,5,7}:{(36,1),(37,1),(43,1),(72,1),(73,1),(82,1),(83,1),(98,1),(102,1),(104,1),(110,1),(111,1)}
        55:{3,5,7}:{(38,1),(39,1),(40,1),(74,1)}
        56:{1,3,6,7}:{(39,1),(41,1),(68,1),(75,1),(77,1),(99,1)}
        57:{2,3,6,7}:{(39,1),(42,1),(69,1),(76,1),(77,1),(99,1)}
        58:{3,4,6}:{(40,1),(44,1),(74,1),(78,1),(79,1),(103,1)}
        59:{1,3,5,6}:{(40,1),(41,1),(45,1),(70,1),(75,1),(78,1),(80,1),(100,1),(103,1)}
        60:{2,3,5,6}:{(40,1),(42,1),(46,1),(71,1),(76,1),(79,1),(80,1),(100,1),(103,1)}
        61:{1,2,6}:{(41,1),(42,1),(43,1)}
        62:{1,2,3,5,7}:{(43,1),(48,1),(73,1),(81,1),(82,1),(84,1),(104,1)}
        63:{1,4,5}:{(44,1),(45,1),(78,1),(111,1)}
        64:{2,4,5}:{(44,1),(46,1),(79,1),(111,1)}
        65:{1,2,5}:{(45,1),(46,1),(47,1)}
        66:{1,2,3,6}:{(47,1),(48,1),(84,1),(103,1)}
        67:{3,5,7}:{(49,1),(50,1),(51,1),(85,1),(86,1)}
        68:{1,4,6,7}:{(50,1),(52,1),(56,1),(85,1),(91,1)}
        69:{2,4,6,7}:{(50,1),(53,1),(57,1),(86,1),(92,1)}
        70:{1,5,6}:{(51,1),(52,1),(85,1)}
        71:{2,5,6}:{(51,1),(53,1),(86,1)}
        72:{1,2,4,6}:{(52,1),(53,1),(54,1),(61,1),(88,1),(89,1),(107,1)}
        73:{3,5,7}:{(54,1),(89,1),(90,1),(96,1),(108,1),(109,1)}
        74:{3,4,7}:{(55,1),(58,1),(91,1),(92,1),(109,1)}
        75:{1,3,5,7}:{(55,1),(56,1),(59,1),(85,1),(91,1),(93,1),(106,1),(109,1)}
        76:{2,3,5,7}:{(55,1),(57,1),(60,1),(86,1),(92,1),(93,1),(106,1),(109,1)}
        77:{1,2,6,7}:{(56,1),(57,1),(61,1),(93,1)}
        78:{1,4,6}:{(58,1),(59,1),(63,1),(91,1),(107,1)}
        79:{2,4,6}:{(58,1),(60,1),(64,1),(92,1),(107,1)}
        80:{1,2,5,6}:{(59,1),(60,1),(61,1),(65,1),(93,1),(94,1)}
        81:{1,2,3,6}:{(61,1),(62,1),(89,1),(95,1)}
        82:{1,2,4,7}:{(62,1),(90,1),(95,1),(97,1)}
        83:{1,2,4,5}:{(63,1),(64,1),(65,1),(94,1),(96,1),(97,1)}
        84:{1,2,3,5}:{(65,1),(66,1),(96,1),(97,1)}
        85:{1,5,7}:{(67,1),(68,1),(70,1)}
        86:{2,5,7}:{(67,1),(69,1),(71,1)}
        87:{1,2,4,6,7}:{(68,1),(69,1),(72,1),(77,1),(98,1),(99,1),(102,1),(110,1)}
        88:{1,2,5,6}:{(70,1),(71,1),(72,1),(98,1),(100,1),(104,1)}
        89:{3,6}:{(72,1),(73,1)}
        90:{3,4,7}:{(73,1),(82,1),(101,1),(105,1),(110,1)}
        91:{1,4,7}:{(74,1),(75,1),(78,1),(110,1)}
        92:{2,4,7}:{(74,1),(76,1),(79,1),(110,1)}
        93:{1,2,5,7}:{(75,1),(76,1),(77,1),(80,1),(102,1)}
        94:{1,2,4,6}:{(78,1),(79,1),(80,1),(83,1),(102,1),(103,1)}
        95:{1,2,4,6}:{(81,1),(82,1),(101,1),(104,1)}
        96:{3,5}:{(83,1),(103,1),(105,1)}
        97:{1,2,4}:{(84,1),(105,1)}
        98:{1,2,5,7}:{(85,1),(86,1),(87,1),(88,1),(106,1)}
        99:{3,6,7}:{(87,1),(89,1),(106,1),(109,1)}
       100:{3,5,6}:{(88,1),(89,1),(106,1),(107,1),(108,1)}
       101:{3,4,6}:{(89,1),(90,1),(95,1),(107,1),(108,1)}
       102:{1,2,4,7}:{(91,1),(92,1),(93,1),(94,1),(109,1)}
       103:{3,6}:{(94,1),(96,1),(109,1)}
       104:{1,2,5}:{(95,1),(108,1)}
       105:{3,4}:{(96,1),(97,1)}
       106:{3,5,7}:{(98,1),(99,1),(100,1),(110,1)}
       107:{4,6}:{(100,1),(110,1),(111,1)}
       108:{3,5}:{(101,1),(104,1),(111,1)}
       109:{3,7}:{(102,1),(103,1)}
       110:{4,7}:{(106,1),(107,1)}
       111:{4,5}:{(107,1),(108,1)}

1053 :   0:{1,2,3,6}:{(1,1),(2,1),(3,1),(33,1),(60,1)}
         1:{1,2,3,5}:{(0,1),(5,1),(7,1),(17,1),(20,1),(45,1)}
         2:{1,2,3,7}:{(0,1),(6,1),(48,1),(75,1)}
         3:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(7,1),(22,1)}
         4:{3,4,6}:{(3,1),(8,1),(9,1),(10,1),(27,1),(28,1),(33,1)}
         5:{1,2,4}:{(1,1),(10,1)}
         6:{1,2,4,7}:{(2,1),(3,1),(8,1),(12,1)}
         7:{1,2,5}:{(3,1),(9,1)}
         8:{3,4,7}:{(4,1),(6,1),(15,1),(43,1),(48,1)}
         9:{3,5}:{(4,1),(7,1),(14,1)}
        10:{3,4}:{(5,1),(20,1)}
        11:{1,2,4,5}:{(5,1),(7,1),(14,1),(20,1),(21,1),(39,1),(40,1),(45,1)}
        12:{1,2,5,7}:{(6,1),(7,1),(15,1),(22,1)}
        13:{1,2,5,6}:{(7,1),(16,1),(21,1),(22,1),(23,1),(66,1),(67,1)}
        14:{4,5}:{(9,1),(27,1)}
        15:{3,5,7}:{(8,1),(9,1),(12,1),(26,1),(28,1)}
        16:{3,5,6}:{(9,1),(13,1),(27,1),(28,1),(29,1),(33,1),(58,1)}
        17:{1,2,3}:{(30,1)}
        18:{2,3,4}:{(10,1),(30,1),(31,1),(53,1)}
        19:{1,3,4}:{(10,1),(30,1),(32,1),(53,1)}
        20:{3,5}:{(10,1),(11,1),(33,1)}
        21:{1,2,4,6}:{(11,1),(13,1),(27,1),(33,1),(34,1),(55,1),(56,1),(60,1)}
        22:{1,2,6}:{(12,1),(28,1)}
        23:{1,2,5,7}:{(13,1),(29,1),(34,1),(35,1),(80,1),(81,1)}
        24:{1,2,3,5}:{(17,1),(36,1),(38,1),(45,1),(65,1),(70,1)}
        25:{3,4,5}:{(14,1),(20,1),(39,1),(40,1),(41,1),(70,1),(86,1)}
        26:{4,5,7}:{(14,1),(15,1),(42,1),(43,1),(74,1)}
        27:{4,6}:{(14,1),(16,1),(43,1)}
        28:{3,6}:{(15,1),(22,1),(42,1)}
        29:{3,5,7}:{(16,1),(23,1),(43,1),(44,1),(48,1),(74,1)}
        30:{1,2,4}:{(17,1),(18,1),(19,1),(45,1)}
        31:{2,3,5}:{(18,1),(20,1),(39,1),(45,1),(46,1),(70,1)}
        32:{1,3,5}:{(19,1),(20,1),(40,1),(45,1),(47,1),(70,1)}
        33:{3,6}:{(20,1),(21,1),(48,1)}
        34:{1,2,4,7}:{(21,1),(23,1),(43,1),(48,1),(72,1),(73,1),(75,1)}
        35:{1,2,6,7}:{(22,1),(23,1),(44,1),(91,1),(92,1)}
        36:{1,2,3,6}:{(24,1),(49,1),(50,1),(60,1),(84,1)}
        37:{4,5,6}:{(27,1),(51,1),(52,1),(58,1),(95,1),(102,1)}
        38:{1,2,4}:{(24,1),(53,1)}
        39:{2,4,5}:{(25,1),(31,1),(55,1)}
        40:{1,4,5}:{(25,1),(32,1),(56,1)}
        41:{3,4,6}:{(25,1),(27,1),(33,1),(51,1),(55,1),(56,1),(57,1),(84,1),(95,1)}
        42:{4,6}:{(26,1),(28,1),(58,1)}
        43:{4,7}:{(27,1),(29,1)}
        44:{3,6,7}:{(28,1),(29,1),(35,1),(59,1)}
        45:{1,2,5}:{(30,1),(31,1),(32,1),(60,1)}
        46:{2,3,6}:{(31,1),(33,1),(55,1),(60,1),(61,1),(84,1)}
        47:{1,3,6}:{(32,1),(33,1),(56,1),(60,1),(62,1),(84,1)}
        48:{3,7}:{(33,1),(34,1)}
        49:{1,2,3,7}:{(36,1),(64,1),(75,1),(93,1)}
        50:{1,2,4,6}:{(36,1),(38,1),(63,1),(64,1),(65,1),(89,1)}
        51:{3,5,6}:{(37,1),(41,1),(66,1),(67,1),(68,1)}
        52:{4,5,7}:{(37,1),(43,1),(68,1),(69,1),(74,1),(100,1),(104,1)}
        53:{3,4}:{(38,1),(70,1)}
        54:{1,2,4,5}:{(38,1),(39,1),(40,1),(45,1),(65,1),(70,1),(71,1),(86,1)}
        55:{2,4,6}:{(39,1),(41,1),(46,1),(66,1),(72,1)}
        56:{1,4,6}:{(40,1),(41,1),(47,1),(67,1),(73,1)}
        57:{3,4,7}:{(41,1),(43,1),(48,1),(68,1),(72,1),(73,1),(93,1),(100,1)}
        58:{5,6}:{(42,1),(74,1)}
        59:{4,6,7}:{(42,1),(43,1),(44,1),(74,1)}
        60:{1,2,6}:{(45,1),(46,1),(47,1),(75,1)}
        61:{2,3,7}:{(46,1),(48,1),(72,1),(75,1),(93,1)}
        62:{1,3,7}:{(47,1),(48,1),(73,1),(75,1),(93,1)}
        63:{3,4,6}:{(50,1),(53,1),(76,1),(77,1),(84,1),(95,1),(96,1)}
        64:{1,2,4,7}:{(49,1),(50,1),(76,1),(78,1)}
        65:{1,2,5}:{(50,1),(77,1)}
        66:{2,5,6}:{(51,1),(55,1),(80,1)}
        67:{1,5,6}:{(51,1),(56,1),(81,1)}
        68:{3,5,7}:{(51,1),(52,1),(57,1),(80,1),(81,1),(82,1)}
        69:{4,6,7}:{(52,1),(82,1),(83,1)}
        70:{3,5}:{(53,1),(54,1),(84,1)}
        71:{1,2,4,6}:{(54,1),(55,1),(56,1),(60,1),(79,1),(84,1),(85,1),(95,1)}
        72:{2,4,7}:{(55,1),(57,1),(61,1),(80,1)}
        73:{1,4,7}:{(56,1),(57,1),(62,1),(81,1)}
        74:{5,7}:{(58,1),(59,1)}
        75:{1,2,7}:{(60,1),(61,1),(62,1)}
        76:{3,4,7}:{(63,1),(64,1),(87,1),(93,1),(100,1)}
        77:{3,5}:{(63,1),(65,1),(86,1)}
        78:{1,2,5,7}:{(64,1),(65,1),(87,1),(89,1)}
        79:{1,2,5,6}:{(65,1),(66,1),(67,1),(71,1),(88,1),(89,1),(90,1)}
        80:{2,5,7}:{(66,1),(68,1),(72,1),(91,1)}
        81:{1,5,7}:{(67,1),(68,1),(73,1),(92,1)}
        82:{3,6,7}:{(68,1),(69,1),(91,1),(92,1)}
        83:{5,6,7}:{(69,1),(74,1),(104,1)}
        84:{3,6}:{(70,1),(71,1),(93,1)}
        85:{1,2,4,7}:{(71,1),(72,1),(73,1),(75,1),(90,1),(93,1),(100,1)}
        86:{4,5}:{(77,1),(95,1)}
        87:{3,5,7}:{(76,1),(77,1),(78,1),(94,1),(96,1)}
        88:{3,5,6}:{(77,1),(79,1),(84,1),(95,1),(96,1),(97,1),(102,1)}
        89:{1,2,6}:{(78,1),(96,1)}
        90:{1,2,5,7}:{(79,1),(80,1),(81,1),(85,1),(97,1),(98,1)}
        91:{2,6,7}:{(80,1),(82,1)}
        92:{1,6,7}:{(81,1),(82,1)}
        93:{3,7}:{(84,1),(85,1)}
        94:{4,5,7}:{(86,1),(87,1),(99,1),(100,1),(104,1)}
        95:{4,6}:{(86,1),(88,1),(100,1)}
        96:{3,6}:{(87,1),(89,1),(99,1)}
        97:{3,5,7}:{(88,1),(90,1),(93,1),(100,1),(101,1),(104,1)}
        98:{1,2,6,7}:{(89,1),(90,1),(91,1),(92,1),(101,1)}
        99:{4,6}:{(94,1),(96,1),(102,1)}
       100:{4,7}:{(95,1),(97,1)}
       101:{3,6,7}:{(96,1),(97,1),(98,1),(103,1)}
       102:{5,6}:{(99,1),(104,1)}
       103:{4,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

1054 :   0:{1,2,3,7}:{(1,1),(2,1),(51,1),(76,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(38,1),(62,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(5,1),(6,1)}
         3:{3,4,7}:{(2,1),(7,1),(8,1),(47,1),(51,1)}
         4:{1,2,3,5}:{(1,1),(9,1),(10,1),(23,1),(26,1),(48,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(10,1),(11,1)}
         6:{1,2,5,7}:{(2,1),(8,1),(10,1),(11,1)}
         7:{3,4,6}:{(3,1),(5,1),(13,1),(14,1),(15,1),(33,1),(38,1)}
         8:{3,5,7}:{(3,1),(6,1),(12,1),(13,1),(14,1)}
         9:{1,2,4}:{(4,1),(15,1)}
        10:{1,2,5}:{(5,1),(13,1)}
        11:{1,2,6}:{(6,1),(14,1)}
        12:{4,5,7}:{(8,1),(19,1),(20,1),(42,1),(47,1)}
        13:{3,5}:{(7,1),(10,1),(20,1)}
        14:{3,6}:{(8,1),(11,1),(19,1)}
        15:{3,4}:{(9,1),(26,1)}
        16:{1,2,4,5}:{(9,1),(10,1),(20,1),(26,1),(27,1),(44,1),(45,1),(48,1)}
        17:{1,2,5,6}:{(10,1),(11,1),(21,1),(27,1),(28,1),(69,1),(70,1)}
        18:{1,2,6,7}:{(11,1),(22,1),(28,1),(88,1),(89,1)}
        19:{4,6}:{(12,1),(14,1),(29,1)}
        20:{4,5}:{(13,1),(33,1)}
        21:{3,5,6}:{(13,1),(14,1),(17,1),(29,1),(33,1),(34,1),(38,1)}
        22:{3,6,7}:{(14,1),(18,1),(30,1),(34,1)}
        23:{1,2,3}:{(35,1)}
        24:{2,3,4}:{(15,1),(35,1),(36,1),(57,1)}
        25:{1,3,4}:{(15,1),(35,1),(37,1),(57,1)}
        26:{3,5}:{(15,1),(16,1),(38,1)}
        27:{1,2,4,6}:{(16,1),(17,1),(33,1),(38,1),(39,1),(59,1),(60,1),(62,1)}
        28:{1,2,5,7}:{(17,1),(18,1),(34,1),(39,1),(82,1),(83,1)}
        29:{5,6}:{(19,1),(42,1)}
        30:{4,6,7}:{(19,1),(22,1),(42,1),(47,1)}
        31:{1,2,3,5}:{(23,1),(40,1),(43,1),(48,1),(68,1),(72,1)}
        32:{3,4,5}:{(20,1),(26,1),(44,1),(45,1),(46,1),(72,1),(90,1)}
        33:{4,6}:{(20,1),(21,1),(47,1)}
        34:{3,5,7}:{(21,1),(22,1),(28,1),(42,1),(47,1),(51,1)}
        35:{1,2,4}:{(23,1),(24,1),(25,1),(48,1)}
        36:{2,3,5}:{(24,1),(26,1),(44,1),(48,1),(49,1),(72,1)}
        37:{1,3,5}:{(25,1),(26,1),(45,1),(48,1),(50,1),(72,1)}
        38:{3,6}:{(26,1),(27,1),(51,1)}
        39:{1,2,4,7}:{(27,1),(28,1),(47,1),(51,1),(74,1),(75,1),(76,1)}
        40:{1,2,3,6}:{(31,1),(52,1),(54,1),(62,1),(84,1)}
        41:{4,5,6}:{(29,1),(33,1),(55,1),(56,1),(97,1),(102,1)}
        42:{5,7}:{(29,1),(30,1)}
        43:{1,2,4}:{(31,1),(57,1)}
        44:{2,4,5}:{(32,1),(36,1),(59,1)}
        45:{1,4,5}:{(32,1),(37,1),(60,1)}
        46:{3,4,6}:{(32,1),(33,1),(38,1),(55,1),(59,1),(60,1),(61,1),(84,1),(97,1)}
        47:{4,7}:{(33,1),(34,1)}
        48:{1,2,5}:{(35,1),(36,1),(37,1),(62,1)}
        49:{2,3,6}:{(36,1),(38,1),(59,1),(62,1),(63,1),(84,1)}
        50:{1,3,6}:{(37,1),(38,1),(60,1),(62,1),(64,1),(84,1)}
        51:{3,7}:{(38,1),(39,1)}
        52:{1,2,3,7}:{(40,1),(65,1),(76,1),(93,1)}
        53:{5,6,7}:{(42,1),(66,1),(104,1)}
        54:{1,2,4,6}:{(40,1),(43,1),(65,1),(67,1),(68,1),(87,1)}
        55:{3,5,6}:{(41,1),(46,1),(69,1),(70,1),(71,1)}
        56:{4,5,7}:{(41,1),(42,1),(47,1),(66,1),(71,1),(101,1),(104,1)}
        57:{3,4}:{(43,1),(72,1)}
        58:{1,2,4,5}:{(43,1),(44,1),(45,1),(48,1),(68,1),(72,1),(73,1),(90,1)}
        59:{2,4,6}:{(44,1),(46,1),(49,1),(69,1),(74,1)}
        60:{1,4,6}:{(45,1),(46,1),(50,1),(70,1),(75,1)}
        61:{3,4,7}:{(46,1),(47,1),(51,1),(71,1),(74,1),(75,1),(93,1),(101,1)}
        62:{1,2,6}:{(48,1),(49,1),(50,1),(76,1)}
        63:{2,3,7}:{(49,1),(51,1),(74,1),(76,1),(93,1)}
        64:{1,3,7}:{(50,1),(51,1),(75,1),(76,1),(93,1)}
        65:{1,2,4,7}:{(52,1),(54,1),(77,1),(78,1)}
        66:{4,6,7}:{(53,1),(56,1),(79,1)}
        67:{3,4,6}:{(54,1),(57,1),(77,1),(80,1),(84,1),(95,1),(97,1)}
        68:{1,2,5}:{(54,1),(80,1)}
        69:{2,5,6}:{(55,1),(59,1),(82,1)}
        70:{1,5,6}:{(55,1),(60,1),(83,1)}
        71:{3,5,7}:{(55,1),(56,1),(61,1),(79,1),(82,1),(83,1)}
        72:{3,5}:{(57,1),(58,1),(84,1)}
        73:{1,2,4,6}:{(58,1),(59,1),(60,1),(62,1),(81,1),(84,1),(85,1),(97,1)}
        74:{2,4,7}:{(59,1),(61,1),(63,1),(82,1)}
        75:{1,4,7}:{(60,1),(61,1),(64,1),(83,1)}
        76:{1,2,7}:{(62,1),(63,1),(64,1)}
        77:{3,4,7}:{(65,1),(67,1),(86,1),(93,1),(101,1)}
        78:{1,2,5,7}:{(65,1),(68,1),(86,1),(87,1)}
        79:{3,6,7}:{(66,1),(71,1),(88,1),(89,1)}
        80:{3,5}:{(67,1),(68,1),(90,1)}
        81:{1,2,5,6}:{(68,1),(69,1),(70,1),(73,1),(87,1),(91,1),(92,1)}
        82:{2,5,7}:{(69,1),(71,1),(74,1),(88,1)}
        83:{1,5,7}:{(70,1),(71,1),(75,1),(89,1)}
        84:{3,6}:{(72,1),(73,1),(93,1)}
        85:{1,2,4,7}:{(73,1),(74,1),(75,1),(76,1),(92,1),(93,1),(101,1)}
        86:{3,5,7}:{(77,1),(78,1),(80,1),(94,1),(95,1)}
        87:{1,2,6}:{(78,1),(95,1)}
        88:{2,6,7}:{(79,1),(82,1)}
        89:{1,6,7}:{(79,1),(83,1)}
        90:{4,5}:{(80,1),(97,1)}
        91:{3,5,6}:{(80,1),(81,1),(84,1),(95,1),(97,1),(98,1),(102,1)}
        92:{1,2,5,7}:{(81,1),(82,1),(83,1),(85,1),(96,1),(98,1)}
        93:{3,7}:{(84,1),(85,1)}
        94:{4,5,7}:{(86,1),(90,1),(99,1),(101,1),(104,1)}
        95:{3,6}:{(86,1),(87,1),(99,1)}
        96:{1,2,6,7}:{(87,1),(88,1),(89,1),(92,1),(100,1)}
        97:{4,6}:{(90,1),(91,1),(101,1)}
        98:{3,5,7}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        99:{4,6}:{(94,1),(95,1),(102,1)}
       100:{3,6,7}:{(95,1),(96,1),(98,1),(103,1)}
       101:{4,7}:{(97,1),(98,1)}
       102:{5,6}:{(99,1),(104,1)}
       103:{4,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

1055 :  0:{4,5,6}:{(3,1),(4,1),(51,1),(81,1)}
        1:{3,4,5}:{(7,1),(8,1),(9,1),(35,1),(62,1)}
        2:{5,6,7}:{(10,1),(76,1)}
        3:{4,5,7}:{(0,1),(10,1),(11,1),(61,1),(76,1)}
        4:{3,5,6}:{(0,1),(7,1),(11,1),(12,1),(13,1)}
        5:{2,3,4}:{(14,1),(15,1),(48,1)}
        6:{1,3,4}:{(16,1),(17,1),(48,1)}
        7:{3,4,6}:{(1,1),(4,1),(18,1),(19,1),(20,1),(47,1),(51,1)}
        8:{1,4,5}:{(1,1),(16,1),(19,1)}
        9:{2,4,5}:{(1,1),(14,1),(20,1)}
       10:{4,6,7}:{(2,1),(3,1),(22,1)}
       11:{3,5,7}:{(3,1),(4,1),(18,1),(22,1),(23,1),(24,1)}
       12:{1,5,6}:{(4,1),(19,1),(23,1)}
       13:{2,5,6}:{(4,1),(20,1),(24,1)}
       14:{2,3,5}:{(5,1),(9,1),(26,1),(27,1),(35,1)}
       15:{1,2,4}:{(5,1),(27,1),(28,1),(54,1)}
       16:{1,3,5}:{(6,1),(8,1),(29,1),(30,1),(35,1)}
       17:{1,2,4}:{(6,1),(30,1),(31,1),(57,1)}
       18:{3,4,7}:{(7,1),(11,1),(32,1),(33,1),(58,1),(61,1)}
       19:{1,4,6}:{(7,1),(8,1),(12,1),(29,1),(32,1)}
       20:{2,4,6}:{(7,1),(9,1),(13,1),(26,1),(33,1)}
       21:{1,2,4,5}:{(8,1),(9,1),(27,1),(30,1),(34,1),(35,1),(54,1),(57,1),(62,1),(72,1),(74,1)}
       22:{3,6,7}:{(10,1),(11,1),(36,1),(37,1)}
       23:{1,5,7}:{(11,1),(12,1),(32,1),(36,1)}
       24:{2,5,7}:{(11,1),(13,1),(33,1),(37,1)}
       25:{1,2,5,6}:{(12,1),(13,1),(34,1),(38,1),(39,1),(72,1),(74,1),(82,1),(83,1)}
       26:{2,3,6}:{(14,1),(20,1),(40,1),(41,1),(47,1)}
       27:{1,2,5}:{(14,1),(15,1),(41,1),(42,1)}
       28:{1,3}:{(15,1)}
       29:{1,3,6}:{(16,1),(19,1),(43,1),(44,1),(47,1)}
       30:{1,2,5}:{(16,1),(17,1),(44,1),(45,1)}
       31:{2,3}:{(17,1)}
       32:{1,4,7}:{(18,1),(19,1),(23,1),(43,1)}
       33:{2,4,7}:{(18,1),(20,1),(24,1),(40,1)}
       34:{1,2,4,6}:{(19,1),(20,1),(21,1),(25,1),(41,1),(44,1),(46,1),(47,1),(51,1),(64,1),(66,1)}
       35:{3,5}:{(21,1),(47,1),(48,1)}
       36:{1,6,7}:{(22,1),(23,1)}
       37:{2,6,7}:{(22,1),(24,1)}
       38:{1,2,5,7}:{(23,1),(24,1),(25,1),(46,1),(49,1),(50,1),(78,1),(79,1)}
       39:{3,5,6}:{(25,1),(47,1),(50,1),(51,1),(68,1),(80,1),(81,1)}
       40:{2,3,7}:{(26,1),(33,1),(52,1),(58,1)}
       41:{1,2,6}:{(26,1),(27,1),(52,1),(53,1)}
       42:{1,3,5}:{(27,1),(28,1),(35,1),(53,1),(54,1),(72,1)}
       43:{1,3,7}:{(29,1),(32,1),(55,1),(58,1)}
       44:{1,2,6}:{(29,1),(30,1),(55,1),(56,1)}
       45:{2,3,5}:{(30,1),(31,1),(35,1),(56,1),(57,1),(74,1)}
       46:{1,2,4,7}:{(32,1),(33,1),(34,1),(38,1),(52,1),(55,1),(58,1),(61,1),(71,1),(73,1)}
       47:{3,6}:{(34,1),(35,1),(58,1)}
       48:{3,4}:{(35,1),(54,1),(57,1)}
       49:{1,2,6,7}:{(36,1),(37,1),(38,1),(60,1),(82,1),(83,1)}
       50:{3,5,7}:{(38,1),(39,1),(58,1),(60,1),(61,1),(76,1)}
       51:{4,6}:{(39,1),(61,1),(62,1)}
       52:{1,2,7}:{(40,1),(41,1),(63,1)}
       53:{1,3,6}:{(41,1),(42,1),(47,1),(63,1),(64,1)}
       54:{1,4}:{(42,1),(48,1)}
       55:{1,2,7}:{(43,1),(44,1),(65,1)}
       56:{2,3,6}:{(44,1),(45,1),(47,1),(65,1),(66,1)}
       57:{2,4}:{(45,1),(48,1)}
       58:{3,7}:{(46,1),(47,1)}
       59:{3,4,6}:{(47,1),(48,1),(51,1),(64,1),(66,1),(67,1),(68,1),(80,1)}
       60:{3,6,7}:{(49,1),(50,1),(69,1),(80,1)}
       61:{4,7}:{(50,1),(51,1)}
       62:{4,5}:{(51,1),(68,1)}
       63:{1,3,7}:{(52,1),(53,1),(58,1),(71,1)}
       64:{1,4,6}:{(53,1),(54,1),(59,1),(71,1),(72,1),(82,1)}
       65:{2,3,7}:{(55,1),(56,1),(58,1),(73,1)}
       66:{2,4,6}:{(56,1),(57,1),(59,1),(73,1),(74,1),(83,1)}
       67:{3,4,7}:{(58,1),(59,1),(61,1),(71,1),(73,1),(75,1)}
       68:{3,5}:{(59,1),(62,1),(72,1),(74,1)}
       69:{4,6,7}:{(60,1),(61,1),(76,1),(77,1)}
       70:{4,5,7}:{(61,1),(62,1),(75,1),(76,1),(77,1)}
       71:{1,4,7}:{(63,1),(64,1),(67,1),(78,1)}
       72:{1,5}:{(64,1),(68,1)}
       73:{2,4,7}:{(65,1),(66,1),(67,1),(79,1)}
       74:{2,5}:{(66,1),(68,1)}
       75:{3,5,7}:{(67,1),(68,1),(70,1),(78,1),(79,1),(80,1)}
       76:{5,7}:{(69,1),(81,1)}
       77:{4,6}:{(70,1),(80,1),(81,1)}
       78:{1,5,7}:{(71,1),(72,1),(75,1),(82,1)}
       79:{2,5,7}:{(73,1),(74,1),(75,1),(83,1)}
       80:{3,6}:{(75,1),(77,1),(82,1),(83,1)}
       81:{5,6}:{(76,1),(77,1)}
       82:{1,6}:{(78,1),(80,1)}
       83:{2,6}:{(79,1),(80,1)}

1056 :   0:{1,2,3,6}:{(2,1),(4,1),(5,1),(58,1),(61,1),(64,1)}
         1:{4,5,6}:{(6,1),(7,1),(66,1),(91,1)}
         2:{1,2,3,5}:{(0,1),(8,1),(10,1),(12,1),(17,1),(41,1),(44,1),(46,1)}
         3:{3,4,5}:{(13,1),(14,1),(15,1),(46,1),(50,1)}
         4:{1,2,4,6}:{(0,1),(12,1),(16,1),(17,1),(18,1),(54,1)}
         5:{1,2,3,7}:{(0,1),(18,1),(73,1),(76,1),(78,1)}
         6:{3,5,6}:{(1,1),(15,1),(19,1),(20,1),(21,1)}
         7:{4,5,7}:{(1,1),(21,1),(22,1),(80,1),(98,1)}
         8:{1,2,3}:{(23,1)}
         9:{2,3,4}:{(23,1),(24,1),(27,1)}
        10:{1,2,3}:{(25,1)}
        11:{1,3,4}:{(25,1),(26,1),(27,1)}
        12:{1,2,4}:{(2,1),(27,1)}
        13:{2,4,5}:{(3,1),(24,1),(29,1)}
        14:{1,4,5}:{(3,1),(26,1),(30,1)}
        15:{3,4,6}:{(3,1),(6,1),(29,1),(30,1),(31,1),(64,1),(66,1)}
        16:{3,4,6}:{(4,1),(27,1),(32,1),(33,1),(64,1),(66,1),(69,1)}
        17:{1,2,5}:{(4,1),(32,1)}
        18:{1,2,4,7}:{(4,1),(5,1),(33,1),(35,1)}
        19:{2,5,6}:{(6,1),(29,1),(36,1)}
        20:{1,5,6}:{(6,1),(30,1),(37,1)}
        21:{3,5,7}:{(6,1),(7,1),(31,1),(36,1),(37,1),(38,1)}
        22:{4,6,7}:{(7,1),(38,1),(39,1)}
        23:{1,2,4}:{(8,1),(9,1),(40,1),(41,1)}
        24:{2,3,5}:{(9,1),(13,1),(41,1),(42,1),(46,1)}
        25:{1,2,4}:{(10,1),(11,1),(43,1),(44,1)}
        26:{1,3,5}:{(11,1),(14,1),(44,1),(45,1),(46,1)}
        27:{3,4}:{(12,1),(46,1)}
        28:{1,2,4,5}:{(12,1),(13,1),(14,1),(17,1),(41,1),(44,1),(46,1),(47,1),(50,1),(71,1),(74,1)}
        29:{2,4,6}:{(13,1),(15,1),(19,1),(42,1),(48,1)}
        30:{1,4,6}:{(14,1),(15,1),(20,1),(45,1),(49,1)}
        31:{3,4,7}:{(15,1),(21,1),(48,1),(49,1),(78,1),(80,1)}
        32:{3,5}:{(16,1),(17,1),(50,1)}
        33:{3,4,7}:{(16,1),(18,1),(52,1),(78,1),(80,1)}
        34:{1,2,5,6}:{(17,1),(19,1),(20,1),(47,1),(51,1),(53,1),(54,1),(92,1),(94,1)}
        35:{1,2,5,7}:{(17,1),(18,1),(52,1),(54,1)}
        36:{2,5,7}:{(19,1),(21,1),(48,1),(55,1)}
        37:{1,5,7}:{(20,1),(21,1),(49,1),(56,1)}
        38:{3,6,7}:{(21,1),(22,1),(55,1),(56,1)}
        39:{5,6,7}:{(22,1),(98,1)}
        40:{1,3,4}:{(23,1),(27,1),(57,1)}
        41:{1,2,5}:{(23,1),(24,1),(57,1),(58,1)}
        42:{2,3,6}:{(24,1),(29,1),(58,1),(59,1),(64,1)}
        43:{2,3,4}:{(25,1),(27,1),(60,1)}
        44:{1,2,5}:{(25,1),(26,1),(60,1),(61,1)}
        45:{1,3,6}:{(26,1),(30,1),(61,1),(62,1),(64,1)}
        46:{3,5}:{(27,1),(28,1),(64,1)}
        47:{1,2,4,6}:{(28,1),(29,1),(30,1),(34,1),(58,1),(61,1),(64,1),(65,1),(66,1),(83,1),(85,1)}
        48:{2,4,7}:{(29,1),(31,1),(36,1),(59,1)}
        49:{1,4,7}:{(30,1),(31,1),(37,1),(62,1)}
        50:{4,5}:{(32,1),(66,1)}
        51:{3,5,6}:{(32,1),(34,1),(64,1),(66,1),(68,1),(69,1),(91,1)}
        52:{3,5,7}:{(32,1),(33,1),(35,1),(67,1),(69,1)}
        53:{1,2,5,7}:{(34,1),(36,1),(37,1),(65,1),(68,1),(70,1),(99,1),(100,1)}
        54:{1,2,6}:{(35,1),(69,1)}
        55:{2,6,7}:{(36,1),(38,1)}
        56:{1,6,7}:{(37,1),(38,1)}
        57:{1,3,5}:{(40,1),(41,1),(46,1),(71,1),(72,1)}
        58:{1,2,6}:{(41,1),(42,1),(72,1),(73,1)}
        59:{2,3,7}:{(42,1),(48,1),(73,1),(78,1)}
        60:{2,3,5}:{(43,1),(44,1),(46,1),(74,1),(75,1)}
        61:{1,2,6}:{(44,1),(45,1),(75,1),(76,1)}
        62:{1,3,7}:{(45,1),(49,1),(76,1),(78,1)}
        63:{3,4,5}:{(46,1),(50,1),(71,1),(74,1),(77,1)}
        64:{3,6}:{(46,1),(47,1),(78,1)}
        65:{1,2,4,7}:{(47,1),(48,1),(49,1),(53,1),(73,1),(76,1),(78,1),(80,1),(93,1),(95,1)}
        66:{4,6}:{(50,1),(51,1),(80,1)}
        67:{4,5,7}:{(50,1),(52,1),(80,1),(81,1),(98,1)}
        68:{3,5,7}:{(51,1),(53,1),(78,1),(80,1),(82,1),(98,1)}
        69:{3,6}:{(52,1),(54,1),(81,1)}
        70:{1,2,6,7}:{(53,1),(54,1),(55,1),(56,1),(82,1),(103,1),(104,1)}
        71:{1,4,5}:{(57,1),(63,1),(83,1)}
        72:{1,3,6}:{(57,1),(58,1),(64,1),(83,1),(84,1)}
        73:{1,2,7}:{(58,1),(59,1),(84,1)}
        74:{2,4,5}:{(60,1),(63,1),(85,1)}
        75:{2,3,6}:{(60,1),(61,1),(64,1),(85,1),(86,1)}
        76:{1,2,7}:{(61,1),(62,1),(86,1)}
        77:{3,4,6}:{(63,1),(64,1),(66,1),(83,1),(85,1),(87,1),(88,1)}
        78:{3,7}:{(64,1),(65,1)}
        79:{4,5,6}:{(66,1),(87,1),(89,1),(91,1)}
        80:{4,7}:{(66,1),(68,1)}
        81:{4,6}:{(67,1),(69,1),(91,1)}
        82:{3,6,7}:{(68,1),(69,1),(70,1),(90,1)}
        83:{1,4,6}:{(71,1),(72,1),(77,1),(92,1),(93,1)}
        84:{1,3,7}:{(72,1),(73,1),(78,1),(93,1)}
        85:{2,4,6}:{(74,1),(75,1),(77,1),(94,1),(95,1)}
        86:{2,3,7}:{(75,1),(76,1),(78,1),(95,1)}
        87:{3,5,6}:{(77,1),(79,1),(92,1),(94,1),(96,1)}
        88:{3,4,7}:{(77,1),(78,1),(80,1),(93,1),(95,1),(96,1)}
        89:{4,5,7}:{(79,1),(80,1),(96,1),(97,1),(98,1)}
        90:{4,6,7}:{(80,1),(81,1),(82,1),(98,1)}
        91:{5,6}:{(81,1),(98,1)}
        92:{1,5,6}:{(83,1),(87,1),(99,1)}
        93:{1,4,7}:{(83,1),(84,1),(88,1),(99,1)}
        94:{2,5,6}:{(85,1),(87,1),(100,1)}
        95:{2,4,7}:{(85,1),(86,1),(88,1),(100,1)}
        96:{3,5,7}:{(87,1),(88,1),(89,1),(99,1),(100,1),(101,1)}
        97:{4,6,7}:{(89,1),(101,1),(102,1)}
        98:{5,7}:{(90,1),(91,1)}
        99:{1,5,7}:{(92,1),(93,1),(96,1),(103,1)}
       100:{2,5,7}:{(94,1),(95,1),(96,1),(104,1)}
       101:{3,6,7}:{(96,1),(97,1),(103,1),(104,1)}
       102:{5,6,7}:{(97,1),(98,1)}
       103:{1,6,7}:{(99,1),(101,1)}
       104:{2,6,7}:{(100,1),(101,1)}

1057 :  0:{5,6,7}:{(1,1),(58,1)}
        1:{4,6,7}:{(0,1),(3,1),(4,1)}
        2:{4,5,6}:{(3,1),(5,1),(50,1),(69,1)}
        3:{4,5,7}:{(1,1),(2,1),(7,1),(57,1),(58,1)}
        4:{3,6,7}:{(1,1),(7,1),(8,1),(9,1)}
        5:{3,5,6}:{(2,1),(7,1),(10,1),(11,1),(12,1)}
        6:{3,4,5}:{(10,1),(13,1),(14,1),(39,1),(62,1)}
        7:{3,5,7}:{(3,1),(4,1),(5,1),(17,1),(18,1),(19,1)}
        8:{1,6,7}:{(4,1),(18,1)}
        9:{2,6,7}:{(4,1),(19,1)}
       10:{3,4,6}:{(5,1),(6,1),(17,1),(21,1),(22,1),(49,1),(50,1)}
       11:{1,5,6}:{(5,1),(18,1),(21,1)}
       12:{2,5,6}:{(5,1),(19,1),(22,1)}
       13:{1,4,5}:{(6,1),(21,1),(24,1)}
       14:{2,4,5}:{(6,1),(22,1),(25,1)}
       15:{1,3,4}:{(24,1),(27,1),(53,1)}
       16:{2,3,4}:{(25,1),(28,1),(53,1)}
       17:{3,4,7}:{(7,1),(10,1),(29,1),(30,1),(56,1),(57,1)}
       18:{1,5,7}:{(7,1),(8,1),(11,1),(29,1)}
       19:{2,5,7}:{(7,1),(9,1),(12,1),(30,1)}
       20:{1,2,6,7}:{(8,1),(9,1),(31,1),(32,1),(82,1),(83,1)}
       21:{1,4,6}:{(10,1),(11,1),(13,1),(29,1),(33,1)}
       22:{2,4,6}:{(10,1),(12,1),(14,1),(30,1),(34,1)}
       23:{1,2,5,6}:{(11,1),(12,1),(31,1),(35,1),(36,1),(77,1),(78,1),(82,1),(83,1)}
       24:{1,3,5}:{(13,1),(15,1),(33,1),(37,1),(39,1)}
       25:{2,3,5}:{(14,1),(16,1),(34,1),(38,1),(39,1)}
       26:{1,2,4,5}:{(13,1),(14,1),(35,1),(37,1),(38,1),(39,1),(62,1),(63,1),(64,1),(77,1),(78,1)}
       27:{1,2,4}:{(15,1),(37,1),(40,1),(63,1)}
       28:{1,2,4}:{(16,1),(38,1),(41,1),(64,1)}
       29:{1,4,7}:{(17,1),(18,1),(21,1),(42,1)}
       30:{2,4,7}:{(17,1),(19,1),(22,1),(43,1)}
       31:{1,2,5,7}:{(18,1),(19,1),(20,1),(23,1),(44,1),(45,1),(79,1),(80,1)}
       32:{3,6,7}:{(20,1),(45,1),(46,1),(81,1)}
       33:{1,3,6}:{(21,1),(24,1),(42,1),(47,1),(49,1)}
       34:{2,3,6}:{(22,1),(25,1),(43,1),(48,1),(49,1)}
       35:{1,2,4,6}:{(21,1),(22,1),(23,1),(26,1),(44,1),(47,1),(48,1),(49,1),(50,1),(70,1),(71,1)}
       36:{3,5,6}:{(23,1),(45,1),(49,1),(50,1),(69,1),(72,1),(81,1)}
       37:{1,2,5}:{(24,1),(27,1),(47,1),(51,1)}
       38:{1,2,5}:{(25,1),(28,1),(48,1),(52,1)}
       39:{3,5}:{(26,1),(49,1),(53,1)}
       40:{2,3}:{(27,1)}
       41:{1,3}:{(28,1)}
       42:{1,3,7}:{(29,1),(33,1),(54,1),(56,1)}
       43:{2,3,7}:{(30,1),(34,1),(55,1),(56,1)}
       44:{1,2,4,7}:{(29,1),(30,1),(31,1),(35,1),(54,1),(55,1),(56,1),(57,1),(73,1),(74,1)}
       45:{3,5,7}:{(31,1),(32,1),(36,1),(56,1),(57,1),(58,1)}
       46:{4,6,7}:{(32,1),(57,1),(58,1),(76,1)}
       47:{1,2,6}:{(33,1),(37,1),(54,1),(59,1)}
       48:{1,2,6}:{(34,1),(38,1),(55,1),(60,1)}
       49:{3,6}:{(35,1),(39,1),(56,1)}
       50:{4,6}:{(36,1),(57,1),(62,1)}
       51:{2,3,5}:{(37,1),(39,1),(40,1),(59,1),(63,1),(77,1)}
       52:{1,3,5}:{(38,1),(39,1),(41,1),(60,1),(64,1),(78,1)}
       53:{3,4}:{(39,1),(63,1),(64,1)}
       54:{1,2,7}:{(42,1),(47,1),(65,1)}
       55:{1,2,7}:{(43,1),(48,1),(66,1)}
       56:{3,7}:{(44,1),(49,1)}
       57:{4,7}:{(45,1),(50,1)}
       58:{5,7}:{(46,1),(69,1)}
       59:{2,3,6}:{(47,1),(49,1),(51,1),(65,1),(70,1)}
       60:{1,3,6}:{(48,1),(49,1),(52,1),(66,1),(71,1)}
       61:{3,4,6}:{(49,1),(50,1),(53,1),(67,1),(70,1),(71,1),(72,1),(81,1)}
       62:{4,5}:{(50,1),(72,1)}
       63:{2,4}:{(51,1),(53,1)}
       64:{1,4}:{(52,1),(53,1)}
       65:{2,3,7}:{(54,1),(56,1),(59,1),(73,1)}
       66:{1,3,7}:{(55,1),(56,1),(60,1),(74,1)}
       67:{3,4,7}:{(56,1),(57,1),(61,1),(73,1),(74,1),(75,1)}
       68:{4,5,7}:{(57,1),(58,1),(62,1),(75,1),(76,1)}
       69:{5,6}:{(58,1),(76,1)}
       70:{2,4,6}:{(59,1),(61,1),(63,1),(73,1),(77,1),(82,1)}
       71:{1,4,6}:{(60,1),(61,1),(64,1),(74,1),(78,1),(83,1)}
       72:{3,5}:{(61,1),(62,1),(77,1),(78,1)}
       73:{2,4,7}:{(65,1),(67,1),(70,1),(79,1)}
       74:{1,4,7}:{(66,1),(67,1),(71,1),(80,1)}
       75:{3,5,7}:{(67,1),(68,1),(72,1),(79,1),(80,1),(81,1)}
       76:{4,6}:{(68,1),(69,1),(81,1)}
       77:{2,5}:{(70,1),(72,1)}
       78:{1,5}:{(71,1),(72,1)}
       79:{2,5,7}:{(73,1),(75,1),(77,1),(82,1)}
       80:{1,5,7}:{(74,1),(75,1),(78,1),(83,1)}
       81:{3,6}:{(75,1),(76,1),(82,1),(83,1)}
       82:{2,6}:{(79,1),(81,1)}
       83:{1,6}:{(80,1),(81,1)}

1058 :   0:{1,2,3,7}:{(1,1),(2,1),(44,1),(68,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(4,1),(5,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(6,1),(34,1),(58,1)}
         3:{3,4,7}:{(1,1),(7,1),(8,1),(40,1),(44,1)}
         4:{1,2,5,7}:{(1,1),(7,1),(9,1),(10,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(8,1),(9,1),(10,1),(11,1)}
         6:{1,2,3,5}:{(2,1),(10,1),(11,1),(25,1),(47,1),(48,1)}
         7:{3,5,7}:{(3,1),(4,1),(12,1),(13,1),(14,1)}
         8:{3,4,6}:{(3,1),(5,1),(13,1),(14,1),(18,1),(31,1),(34,1)}
         9:{1,2,6}:{(4,1),(13,1)}
        10:{1,2,5}:{(5,1),(14,1)}
        11:{1,2,4}:{(6,1),(18,1)}
        12:{4,5,7}:{(7,1),(19,1),(22,1),(38,1),(40,1)}
        13:{3,6}:{(7,1),(9,1),(19,1)}
        14:{3,5}:{(8,1),(10,1),(22,1)}
        15:{1,2,6,7}:{(9,1),(20,1),(23,1),(80,1),(81,1)}
        16:{1,2,5,6}:{(9,1),(10,1),(21,1),(23,1),(24,1),(62,1),(63,1)}
        17:{1,2,4,5}:{(10,1),(11,1),(22,1),(24,1),(25,1),(42,1),(43,1),(47,1)}
        18:{3,4}:{(11,1),(25,1)}
        19:{4,6}:{(12,1),(13,1),(29,1)}
        20:{3,6,7}:{(13,1),(15,1),(28,1),(30,1)}
        21:{3,5,6}:{(13,1),(14,1),(16,1),(29,1),(30,1),(31,1),(34,1)}
        22:{4,5}:{(14,1),(31,1)}
        23:{1,2,5,7}:{(15,1),(16,1),(30,1),(33,1),(72,1),(73,1)}
        24:{1,2,4,6}:{(16,1),(17,1),(31,1),(33,1),(34,1),(53,1),(54,1),(58,1)}
        25:{3,5}:{(17,1),(18,1),(34,1)}
        26:{1,3,4}:{(18,1),(35,1),(37,1),(77,1)}
        27:{2,3,4}:{(18,1),(36,1),(37,1),(77,1)}
        28:{4,6,7}:{(19,1),(20,1),(38,1),(40,1)}
        29:{5,6}:{(19,1),(38,1)}
        30:{3,5,7}:{(20,1),(21,1),(23,1),(38,1),(40,1),(44,1)}
        31:{4,6}:{(21,1),(22,1),(40,1)}
        32:{3,4,5}:{(22,1),(25,1),(41,1),(42,1),(43,1),(67,1),(96,1)}
        33:{1,2,4,7}:{(23,1),(24,1),(40,1),(44,1),(64,1),(65,1),(68,1)}
        34:{3,6}:{(24,1),(25,1),(44,1)}
        35:{1,3,5}:{(25,1),(26,1),(42,1),(45,1),(47,1),(67,1)}
        36:{2,3,5}:{(25,1),(27,1),(43,1),(46,1),(47,1),(67,1)}
        37:{1,2,4}:{(26,1),(27,1),(47,1),(48,1)}
        38:{5,7}:{(28,1),(29,1)}
        39:{4,5,6}:{(29,1),(31,1),(50,1),(51,1),(90,1),(104,1)}
        40:{4,7}:{(30,1),(31,1)}
        41:{3,4,6}:{(31,1),(32,1),(34,1),(51,1),(52,1),(53,1),(54,1),(76,1),(90,1)}
        42:{1,4,5}:{(32,1),(35,1),(53,1)}
        43:{2,4,5}:{(32,1),(36,1),(54,1)}
        44:{3,7}:{(33,1),(34,1)}
        45:{1,3,6}:{(34,1),(35,1),(53,1),(56,1),(58,1),(76,1)}
        46:{2,3,6}:{(34,1),(36,1),(54,1),(57,1),(58,1),(76,1)}
        47:{1,2,5}:{(35,1),(36,1),(37,1),(58,1)}
        48:{1,2,3}:{(37,1)}
        49:{5,6,7}:{(38,1),(60,1),(102,1)}
        50:{4,5,7}:{(38,1),(39,1),(40,1),(60,1),(61,1),(95,1),(102,1)}
        51:{3,5,6}:{(39,1),(41,1),(61,1),(62,1),(63,1)}
        52:{3,4,7}:{(40,1),(41,1),(44,1),(61,1),(64,1),(65,1),(84,1),(95,1)}
        53:{1,4,6}:{(41,1),(42,1),(45,1),(62,1),(64,1)}
        54:{2,4,6}:{(41,1),(43,1),(46,1),(63,1),(65,1)}
        55:{1,2,4,5}:{(42,1),(43,1),(47,1),(66,1),(67,1),(70,1),(87,1),(96,1)}
        56:{1,3,7}:{(44,1),(45,1),(64,1),(68,1),(84,1)}
        57:{2,3,7}:{(44,1),(46,1),(65,1),(68,1),(84,1)}
        58:{1,2,6}:{(45,1),(46,1),(47,1),(68,1)}
        59:{1,2,3,5}:{(47,1),(48,1),(67,1),(69,1),(70,1),(87,1)}
        60:{4,6,7}:{(49,1),(50,1),(71,1)}
        61:{3,5,7}:{(50,1),(51,1),(52,1),(71,1),(72,1),(73,1)}
        62:{1,5,6}:{(51,1),(53,1),(72,1)}
        63:{2,5,6}:{(51,1),(54,1),(73,1)}
        64:{1,4,7}:{(52,1),(53,1),(56,1),(72,1)}
        65:{2,4,7}:{(52,1),(54,1),(57,1),(73,1)}
        66:{1,2,4,6}:{(53,1),(54,1),(55,1),(58,1),(74,1),(75,1),(76,1),(90,1)}
        67:{3,5}:{(55,1),(76,1),(77,1)}
        68:{1,2,7}:{(56,1),(57,1),(58,1)}
        69:{1,2,3,6}:{(58,1),(59,1),(76,1),(78,1),(79,1)}
        70:{1,2,4}:{(59,1),(77,1)}
        71:{3,6,7}:{(60,1),(61,1),(80,1),(81,1)}
        72:{1,5,7}:{(61,1),(62,1),(64,1),(80,1)}
        73:{2,5,7}:{(61,1),(63,1),(65,1),(81,1)}
        74:{1,2,5,6}:{(62,1),(63,1),(66,1),(82,1),(83,1),(87,1),(98,1)}
        75:{1,2,4,7}:{(64,1),(65,1),(66,1),(68,1),(82,1),(84,1),(95,1)}
        76:{3,6}:{(66,1),(67,1),(84,1)}
        77:{3,4}:{(67,1),(70,1)}
        78:{1,2,3,7}:{(68,1),(69,1),(84,1),(86,1)}
        79:{1,2,4,6}:{(69,1),(70,1),(85,1),(86,1),(87,1),(98,1)}
        80:{1,6,7}:{(71,1),(72,1)}
        81:{2,6,7}:{(71,1),(73,1)}
        82:{1,2,5,7}:{(72,1),(73,1),(74,1),(75,1),(88,1),(89,1)}
        83:{3,5,6}:{(74,1),(76,1),(89,1),(90,1),(92,1),(101,1),(104,1)}
        84:{3,7}:{(75,1),(76,1)}
        85:{3,4,6}:{(76,1),(77,1),(79,1),(90,1),(91,1),(92,1),(101,1)}
        86:{1,2,4,7}:{(78,1),(79,1),(91,1),(93,1)}
        87:{1,2,5}:{(79,1),(92,1)}
        88:{1,2,6,7}:{(80,1),(81,1),(82,1),(94,1),(98,1)}
        89:{3,5,7}:{(82,1),(83,1),(84,1),(94,1),(95,1),(102,1)}
        90:{4,6}:{(83,1),(95,1),(96,1)}
        91:{3,4,7}:{(84,1),(85,1),(86,1),(95,1),(97,1)}
        92:{3,5}:{(85,1),(87,1),(96,1)}
        93:{1,2,5,7}:{(86,1),(87,1),(97,1),(98,1)}
        94:{3,6,7}:{(88,1),(89,1),(99,1),(101,1)}
        95:{4,7}:{(89,1),(90,1)}
        96:{4,5}:{(90,1),(92,1)}
        97:{3,5,7}:{(91,1),(92,1),(93,1),(100,1),(101,1)}
        98:{1,2,6}:{(93,1),(101,1)}
        99:{4,6,7}:{(94,1),(95,1),(102,1),(103,1)}
       100:{4,5,7}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(103,1)}
       102:{5,7}:{(99,1),(104,1)}
       103:{4,6}:{(100,1),(101,1),(104,1)}
       104:{5,6}:{(102,1),(103,1)}

1059 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(2,1),(3,1)}
        2:{3,4}:{(1,1),(4,1)}
        3:{1,2,5}:{(1,1),(4,1),(5,1)}
        4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
        5:{1,2,6}:{(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:{1,2,7}:{(5,1),(10,1)}
        9:{4,6}:{(6,1),(7,1),(11,1),(12,1)}
       10:{3,7}:{(7,1),(8,1),(12,1)}
       11:{5,6}:{(9,1),(13,1)}
       12:{4,7}:{(9,1),(10,1),(13,1)}
       13:{5,7}:{(11,1),(12,1),(14,1)}
       14:{6,7}:{(13,1)}

1060 :   0:{1,2,3,5,6}:{(1,1),(2,1),(10,1),(17,1),(18,1),(42,1),(45,1),(46,1),(47,1),(83,1)}
         1:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(31,1),(32,1)}
         2:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(24,1),(30,1),(35,1),(36,1),(63,1),(67,1)}
         3:{1,2,4,5,6}:{(4,1),(8,1),(9,1),(25,1),(31,1),(32,1),(34,1),(93,1),(94,1),(95,1)}
         4:{1,2,4,5}:{(1,1),(10,1),(39,1),(40,1),(42,1)}
         5:{3,4,6}:{(1,1),(10,1),(14,1),(45,1)}
         6:{1,2,4,7}:{(1,1),(2,1),(14,1),(51,1),(52,1)}
         7:{1,2,3,6,7}:{(2,1),(15,1),(45,1),(55,1),(56,1),(83,1)}
         8:{3,5,6}:{(3,1),(10,1),(16,1),(19,1),(45,1)}
         9:{1,2,4,5,7}:{(3,1),(19,1),(20,1),(51,1),(52,1),(54,1),(87,1),(88,1),(89,1)}
        10:{3,5}:{(4,1),(5,1)}
        11:{1,2,4,5,7}:{(4,1),(6,1),(24,1),(25,1),(30,1),(59,1),(60,1),(63,1),(68,1)}
        12:{1,3,4,6}:{(5,1),(22,1),(26,1),(27,1),(31,1),(64,1),(69,1),(90,1),(105,1)}
        13:{2,3,4,6}:{(5,1),(23,1),(26,1),(28,1),(32,1),(65,1),(69,1),(90,1),(105,1)}
        14:{3,4,7}:{(5,1),(6,1),(24,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(25,1),(29,1),(30,1),(71,1),(72,1)}
        16:{3,4,6}:{(8,1),(21,1),(31,1),(32,1),(33,1),(69,1)}
        17:{1,3,5,6}:{(8,1),(22,1),(31,1),(34,1),(35,1),(64,1),(69,1),(93,1),(106,1)}
        18:{2,3,5,6}:{(8,1),(23,1),(32,1),(34,1),(36,1),(65,1),(69,1),(94,1),(106,1)}
        19:{3,5,7}:{(8,1),(9,1),(33,1),(37,1)}
        20:{1,2,4,6,7}:{(9,1),(25,1),(37,1),(38,1),(71,1),(72,1),(74,1),(75,1)}
        21:{3,4,5}:{(10,1),(16,1),(39,1),(40,1),(76,1)}
        22:{1,3,5}:{(10,1),(12,1),(39,1),(42,1),(76,1),(109,1)}
        23:{2,3,5}:{(10,1),(13,1),(40,1),(42,1),(76,1),(109,1)}
        24:{3,5,7}:{(10,1),(11,1),(14,1),(45,1)}
        25:{1,2,4,6}:{(11,1),(45,1),(46,1),(78,1),(79,1),(83,1),(84,1)}
        26:{1,2,4,6}:{(12,1),(13,1),(42,1),(47,1),(48,1),(81,1),(83,1)}
        27:{1,3,4,7}:{(12,1),(14,1),(43,1),(48,1),(51,1),(85,1),(100,1)}
        28:{2,3,4,7}:{(13,1),(14,1),(44,1),(48,1),(52,1),(85,1),(100,1)}
        29:{3,4,6,7}:{(14,1),(15,1),(45,1),(49,1),(84,1)}
        30:{1,2,5,7}:{(15,1),(46,1),(49,1),(87,1),(88,1)}
        31:{1,4,6}:{(16,1),(17,1),(39,1),(51,1),(110,1)}
        32:{2,4,6}:{(16,1),(18,1),(40,1),(52,1),(110,1)}
        33:{3,4,7}:{(16,1),(19,1),(51,1),(52,1),(85,1)}
        34:{1,2,5,6}:{(17,1),(18,1),(42,1),(50,1),(54,1),(83,1)}
        35:{1,3,5,7}:{(17,1),(19,1),(51,1),(54,1),(55,1),(85,1),(87,1),(104,1)}
        36:{2,3,5,7}:{(18,1),(19,1),(52,1),(54,1),(56,1),(85,1),(88,1),(104,1)}
        37:{3,6,7}:{(19,1),(20,1),(45,1)}
        38:{1,2,5,6,7}:{(20,1),(46,1),(57,1),(87,1),(88,1)}
        39:{1,4,5}:{(21,1),(22,1),(31,1),(111,1)}
        40:{2,4,5}:{(21,1),(23,1),(32,1),(111,1)}
        41:{3,4,5,7}:{(21,1),(24,1),(33,1),(59,1),(60,1),(61,1),(68,1),(73,1),(91,1),(108,1),(111,1)}
        42:{1,2,5}:{(22,1),(23,1),(26,1)}
        43:{1,3,5,7}:{(22,1),(24,1),(27,1),(59,1),(63,1),(64,1),(91,1)}
        44:{2,3,5,7}:{(23,1),(24,1),(28,1),(60,1),(63,1),(65,1),(91,1)}
        45:{3,6}:{(24,1),(25,1)}
        46:{1,2,5,6}:{(25,1),(30,1),(66,1),(93,1),(94,1)}
        47:{1,2,3,6}:{(26,1),(62,1),(67,1),(69,1)}
        48:{1,2,4,7}:{(26,1),(27,1),(28,1),(63,1),(67,1)}
        49:{3,5,7}:{(29,1),(30,1),(66,1),(68,1)}
        50:{1,2,4,6}:{(31,1),(32,1),(34,1),(58,1),(69,1),(70,1)}
        51:{1,4,7}:{(31,1),(33,1),(35,1),(108,1)}
        52:{2,4,7}:{(32,1),(33,1),(36,1),(108,1)}
        53:{3,4,6,7}:{(33,1),(37,1),(61,1),(71,1),(72,1),(73,1),(75,1),(98,1),(108,1)}
        54:{1,2,5,7}:{(34,1),(35,1),(36,1),(70,1),(74,1)}
        55:{1,3,6,7}:{(35,1),(37,1),(64,1),(71,1),(74,1),(98,1)}
        56:{2,3,6,7}:{(36,1),(37,1),(65,1),(72,1),(74,1),(98,1)}
        57:{3,5,6,7}:{(37,1),(38,1),(66,1),(73,1),(75,1)}
        58:{1,2,4,5}:{(39,1),(40,1),(42,1),(50,1),(76,1),(81,1)}
        59:{1,4,5,7}:{(39,1),(41,1),(43,1),(51,1),(78,1),(87,1)}
        60:{2,4,5,7}:{(40,1),(41,1),(44,1),(52,1),(79,1),(88,1)}
        61:{3,4,6}:{(41,1),(45,1),(78,1),(79,1),(80,1),(84,1),(101,1),(110,1)}
        62:{1,2,3,5}:{(42,1),(47,1),(76,1),(81,1)}
        63:{1,2,5,7}:{(42,1),(43,1),(44,1),(48,1),(83,1)}
        64:{1,3,6}:{(43,1),(45,1),(78,1),(83,1),(101,1)}
        65:{2,3,6}:{(44,1),(45,1),(79,1),(83,1),(101,1)}
        66:{3,5,6}:{(45,1),(46,1),(49,1),(84,1)}
        67:{1,2,3,7}:{(47,1),(48,1),(85,1)}
        68:{4,5,7}:{(49,1),(84,1)}
        69:{3,6}:{(50,1),(76,1),(85,1)}
        70:{1,2,4,7}:{(50,1),(51,1),(52,1),(54,1),(85,1)}
        71:{1,4,6,7}:{(51,1),(53,1),(55,1),(78,1),(87,1)}
        72:{2,4,6,7}:{(52,1),(53,1),(56,1),(79,1),(88,1)}
        73:{3,5,7}:{(53,1),(80,1),(87,1),(88,1),(89,1)}
        74:{1,2,6,7}:{(54,1),(55,1),(56,1),(83,1)}
        75:{4,6,7}:{(57,1),(84,1),(89,1)}
        76:{3,5}:{(58,1),(69,1),(90,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(63,1),(70,1),(91,1),(92,1),(96,1),(99,1),(107,1),(108,1),(111,1)}
        78:{1,4,6}:{(59,1),(61,1),(64,1),(93,1)}
        79:{2,4,6}:{(60,1),(61,1),(65,1),(94,1)}
        80:{3,5,6}:{(61,1),(73,1),(93,1),(94,1),(95,1)}
        81:{1,2,4}:{(62,1),(90,1)}
        82:{1,2,3,5,7}:{(62,1),(63,1),(67,1),(91,1),(96,1),(97,1),(107,1)}
        83:{1,2,6}:{(63,1),(64,1),(65,1)}
        84:{4,6}:{(66,1),(68,1)}
        85:{3,7}:{(69,1),(70,1)}
        86:{1,2,4,6,7}:{(70,1),(71,1),(72,1),(74,1),(92,1),(98,1),(99,1),(108,1)}
        87:{1,5,7}:{(71,1),(73,1),(93,1)}
        88:{2,5,7}:{(72,1),(73,1),(94,1)}
        89:{4,5,7}:{(73,1),(75,1),(95,1),(108,1)}
        90:{3,4}:{(76,1),(81,1)}
        91:{3,5,7}:{(76,1),(77,1),(85,1),(100,1),(101,1),(109,1)}
        92:{1,2,4,6}:{(77,1),(78,1),(79,1),(83,1),(101,1),(102,1),(110,1)}
        93:{1,5,6}:{(78,1),(80,1),(87,1)}
        94:{2,5,6}:{(79,1),(80,1),(88,1)}
        95:{4,5,6}:{(80,1),(84,1),(89,1),(110,1)}
        96:{1,2,4,7}:{(81,1),(82,1),(100,1),(103,1)}
        97:{1,2,3,6}:{(82,1),(83,1),(101,1),(103,1)}
        98:{3,6,7}:{(85,1),(86,1),(101,1),(104,1)}
        99:{1,2,5,7}:{(86,1),(87,1),(88,1),(102,1),(104,1)}
       100:{3,4,7}:{(90,1),(91,1),(96,1),(105,1),(108,1)}
       101:{3,6}:{(91,1),(92,1)}
       102:{1,2,5,6}:{(92,1),(93,1),(94,1),(99,1),(106,1),(107,1)}
       103:{1,2,4,6}:{(96,1),(97,1),(105,1),(107,1)}
       104:{3,5,7}:{(98,1),(99,1),(106,1),(108,1)}
       105:{3,4,6}:{(100,1),(101,1),(103,1),(109,1),(110,1)}
       106:{3,5,6}:{(101,1),(102,1),(104,1),(109,1),(110,1)}
       107:{1,2,5}:{(103,1),(109,1)}
       108:{4,7}:{(104,1),(110,1)}
       109:{3,5}:{(105,1),(107,1),(111,1)}
       110:{4,6}:{(106,1),(108,1),(111,1)}
       111:{4,5}:{(109,1),(110,1)}

1061 :   0:{1,3,4,5,7}:{(2,1),(3,1),(19,1),(21,1),(59,1),(102,1),(104,1),(114,1),(159,1),(167,1)}
         1:{2,3,4,5,7}:{(4,1),(5,1),(15,1),(25,1),(49,1),(101,1),(115,1),(117,1),(159,1),(176,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(32,1),(69,1),(73,1),(75,1)}
         3:{1,3,4,6}:{(0,1),(7,1),(9,1),(76,1),(145,1),(183,1),(190,1)}
         4:{1,2,4,5,7}:{(1,1),(10,1),(11,1),(27,1),(40,1),(69,1),(85,1),(87,1)}
         5:{2,3,4,6}:{(1,1),(11,1),(13,1),(88,1),(132,1),(183,1),(195,1)}
         6:{2,3,5,7}:{(2,1),(15,1),(16,1),(49,1),(159,1)}
         7:{1,2,4,6}:{(2,1),(3,1),(16,1),(18,1),(51,1)}
         8:{1,3,4,6,7}:{(3,1),(17,1),(19,1),(55,1),(104,1),(107,1),(170,1)}
         9:{1,3,5,6}:{(3,1),(18,1),(19,1),(20,1),(54,1),(59,1),(204,1)}
        10:{1,3,5,7}:{(4,1),(21,1),(22,1),(59,1),(159,1)}
        11:{1,2,4,6}:{(4,1),(5,1),(22,1),(24,1),(61,1)}
        12:{2,3,4,6,7}:{(5,1),(23,1),(25,1),(65,1),(117,1),(120,1),(179,1)}
        13:{2,3,5,6}:{(5,1),(24,1),(25,1),(26,1),(49,1),(64,1),(206,1)}
        14:{1,2,3,5,7}:{(6,1),(10,1),(27,1),(28,1),(69,1)}
        15:{2,3,4,7}:{(6,1),(27,1),(29,1),(75,1),(129,1)}
        16:{2,3,6}:{(6,1),(7,1),(183,1)}
        17:{1,2,4,6,7}:{(7,1),(8,1),(30,1),(32,1),(75,1)}
        18:{1,2,5,6}:{(7,1),(9,1),(31,1),(32,1),(69,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(32,1),(35,1),(78,1),(192,1)}
        20:{1,4,5,6}:{(9,1),(35,1),(36,1),(85,1),(145,1)}
        21:{1,3,4,7}:{(10,1),(27,1),(37,1),(87,1),(129,1)}
        22:{1,3,6}:{(10,1),(11,1),(183,1)}
        23:{1,2,4,6,7}:{(11,1),(12,1),(38,1),(40,1),(87,1)}
        24:{1,2,5,6}:{(11,1),(13,1),(39,1),(40,1),(69,1)}
        25:{2,3,5,7}:{(12,1),(13,1),(40,1),(43,1),(90,1),(197,1)}
        26:{2,4,5,6}:{(13,1),(43,1),(44,1),(73,1),(132,1)}
        27:{1,2,4,7}:{(14,1),(15,1),(21,1),(45,1)}
        28:{1,2,3,6}:{(14,1),(16,1),(22,1),(45,1)}
        29:{2,3,4,6}:{(15,1),(16,1),(45,1),(49,1),(51,1),(99,1)}
        30:{2,3,6,7}:{(16,1),(17,1),(50,1),(107,1)}
        31:{2,3,5,6}:{(16,1),(18,1),(49,1),(50,1),(51,1),(54,1)}
        32:{1,2,5,7}:{(17,1),(18,1),(19,1),(50,1)}
        33:{1,2,4,5,6}:{(18,1),(20,1),(51,1),(53,1),(54,1),(57,1),(97,1),(105,1),(110,1),(158,1),(165,1),(204,1)}
        34:{1,3,5,6,7}:{(19,1),(52,1),(55,1),(107,1),(111,1),(113,1)}
        35:{1,4,5,7}:{(19,1),(20,1),(55,1),(56,1)}
        36:{3,4,5,6}:{(20,1),(54,1),(56,1),(57,1),(115,1),(175,1)}
        37:{1,3,4,6}:{(21,1),(22,1),(45,1),(59,1),(61,1),(99,1)}
        38:{1,3,6,7}:{(22,1),(23,1),(60,1),(120,1)}
        39:{1,3,5,6}:{(22,1),(24,1),(59,1),(60,1),(61,1),(64,1)}
        40:{1,2,5,7}:{(23,1),(24,1),(25,1),(60,1)}
        41:{1,2,4,5,6}:{(24,1),(26,1),(61,1),(63,1),(64,1),(67,1),(97,1),(119,1),(123,1),(158,1),(174,1),(206,1)}
        42:{2,3,5,6,7}:{(25,1),(62,1),(65,1),(100,1),(120,1),(124,1)}
        43:{2,4,5,7}:{(25,1),(26,1),(65,1),(66,1)}
        44:{3,4,5,6}:{(26,1),(64,1),(66,1),(67,1),(102,1),(166,1)}
        45:{1,2,4,6}:{(27,1),(28,1),(29,1),(37,1),(69,1)}
        46:{1,2,3,6,7}:{(28,1),(30,1),(38,1),(68,1),(70,1),(141,1),(155,1),(183,1),(208,1)}
        47:{1,2,3,5,6}:{(28,1),(31,1),(39,1),(69,1),(70,1),(71,1),(79,1),(92,1),(126,1),(128,1),(183,1),(186,1),(188,1),(208,1)}
        48:{2,3,4,6,7}:{(29,1),(30,1),(68,1),(72,1),(75,1),(129,1),(132,1),(137,1),(183,1)}
        49:{2,3,5}:{(29,1),(69,1),(73,1),(128,1)}
        50:{2,3,5,7}:{(30,1),(31,1),(32,1),(75,1),(78,1)}
        51:{2,4,6}:{(31,1),(73,1),(75,1),(76,1)}
        52:{1,2,5,6,7}:{(32,1),(34,1),(74,1),(77,1),(126,1),(144,1),(192,1)}
        53:{1,2,4,5,7}:{(32,1),(33,1),(35,1),(75,1),(77,1),(78,1),(83,1),(136,1),(138,1),(143,1),(192,1)}
        54:{3,5,6}:{(33,1),(76,1),(78,1),(128,1),(183,1)}
        55:{1,4,6,7}:{(34,1),(35,1),(82,1),(145,1)}
        56:{3,4,5,7}:{(35,1),(36,1),(78,1),(82,1),(83,1)}
        57:{2,4,5,6}:{(36,1),(80,1),(83,1),(148,1),(195,1)}
        58:{1,3,4,6,7}:{(37,1),(38,1),(68,1),(84,1),(87,1),(129,1),(145,1),(150,1),(183,1)}
        59:{1,3,5}:{(37,1),(69,1),(85,1),(128,1)}
        60:{1,3,5,7}:{(38,1),(39,1),(40,1),(87,1),(90,1)}
        61:{1,4,6}:{(39,1),(85,1),(87,1),(88,1)}
        62:{1,2,5,6,7}:{(40,1),(42,1),(86,1),(89,1),(126,1),(157,1),(197,1)}
        63:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(87,1),(89,1),(90,1),(95,1),(149,1),(152,1),(156,1),(197,1)}
        64:{3,5,6}:{(41,1),(88,1),(90,1),(128,1),(183,1)}
        65:{2,4,6,7}:{(42,1),(43,1),(94,1),(132,1)}
        66:{3,4,5,7}:{(43,1),(44,1),(90,1),(94,1),(95,1)}
        67:{1,4,5,6}:{(44,1),(91,1),(95,1),(134,1),(190,1)}
        68:{1,2,4,6,7}:{(45,1),(46,1),(48,1),(58,1),(96,1),(98,1),(158,1),(170,1),(179,1)}
        69:{1,2,5}:{(45,1),(49,1),(59,1)}
        70:{1,2,3,5,7}:{(46,1),(47,1),(50,1),(60,1),(96,1),(98,1),(108,1),(122,1),(159,1),(201,1),(203,1)}
        71:{1,2,4,6}:{(47,1),(51,1),(61,1),(97,1),(98,1),(99,1),(105,1),(119,1)}
        72:{2,3,5,7}:{(48,1),(49,1),(96,1),(100,1),(101,1),(159,1),(169,1)}
        73:{2,4,5}:{(49,1),(51,1),(102,1)}
        74:{2,3,5,6,7}:{(50,1),(52,1),(100,1),(103,1),(107,1),(169,1)}
        75:{2,4,7}:{(50,1),(51,1),(104,1)}
        76:{3,4,6}:{(51,1),(54,1),(102,1),(104,1),(105,1)}
        77:{1,2,4,6,7}:{(52,1),(53,1),(55,1),(103,1),(107,1),(112,1),(158,1),(170,1),(173,1)}
        78:{3,5,7}:{(53,1),(54,1),(104,1),(107,1)}
        79:{1,3,5,6}:{(54,1),(105,1),(108,1),(110,1),(160,1),(172,1),(199,1),(204,1)}
        80:{2,3,5,6}:{(54,1),(57,1),(106,1),(109,1),(110,1),(161,1),(200,1)}
        81:{1,4,5,6,7}:{(55,1),(111,1),(174,1)}
        82:{3,4,6,7}:{(55,1),(56,1),(107,1),(111,1),(112,1),(175,1)}
        83:{2,4,5,7}:{(56,1),(57,1),(109,1),(112,1)}
        84:{1,3,5,7}:{(58,1),(59,1),(96,1),(113,1),(114,1),(159,1),(178,1)}
        85:{1,4,5}:{(59,1),(61,1),(115,1)}
        86:{1,3,5,6,7}:{(60,1),(62,1),(113,1),(116,1),(120,1),(178,1)}
        87:{1,4,7}:{(60,1),(61,1),(117,1)}
        88:{3,4,6}:{(61,1),(64,1),(115,1),(117,1),(119,1)}
        89:{1,2,4,6,7}:{(62,1),(63,1),(65,1),(116,1),(120,1),(125,1),(158,1),(179,1),(182,1)}
        90:{3,5,7}:{(63,1),(64,1),(117,1),(120,1)}
        91:{1,3,5,6}:{(64,1),(67,1),(118,1),(121,1),(123,1),(160,1),(199,1)}
        92:{2,3,5,6}:{(64,1),(119,1),(122,1),(123,1),(161,1),(181,1),(200,1),(206,1)}
        93:{2,4,5,6,7}:{(65,1),(124,1),(165,1)}
        94:{3,4,6,7}:{(65,1),(66,1),(120,1),(124,1),(125,1),(166,1)}
        95:{1,4,5,7}:{(66,1),(67,1),(121,1),(125,1)}
        96:{1,2,5,7}:{(68,1),(69,1),(72,1),(84,1),(126,1),(192,1),(197,1)}
        97:{1,2,4,5}:{(69,1),(71,1),(73,1),(85,1),(128,1),(134,1),(148,1),(186,1)}
        98:{1,2,4,7}:{(70,1),(71,1),(75,1),(87,1),(129,1),(138,1),(152,1)}
        99:{3,4,6}:{(71,1),(128,1),(129,1),(183,1)}
       100:{2,3,5,6}:{(72,1),(126,1),(132,1),(183,1),(189,1)}
       101:{2,4,5,7}:{(72,1),(73,1),(75,1),(132,1),(133,1)}
       102:{3,4,5}:{(73,1),(76,1),(128,1),(134,1)}
       103:{2,4,6,7}:{(74,1),(75,1),(132,1),(136,1),(137,1)}
       104:{3,4,7}:{(75,1),(76,1),(78,1),(138,1)}
       105:{1,4,6}:{(76,1),(79,1),(134,1),(138,1)}
       106:{2,3,4,6}:{(76,1),(80,1),(135,1),(139,1),(140,1)}
       107:{3,6,7}:{(77,1),(78,1),(183,1)}
       108:{1,3,5,7}:{(78,1),(79,1),(138,1),(141,1),(143,1),(192,1),(193,1)}
       109:{2,3,5,7}:{(78,1),(80,1),(83,1),(139,1),(142,1),(143,1)}
       110:{1,2,5,6}:{(79,1),(80,1),(140,1),(143,1),(186,1),(208,1)}
       111:{3,5,6,7}:{(81,1),(82,1),(144,1),(194,1)}
       112:{2,4,6,7}:{(82,1),(83,1),(142,1),(144,1),(195,1)}
       113:{1,3,5,6}:{(84,1),(126,1),(145,1),(183,1),(194,1)}
       114:{1,4,5,7}:{(84,1),(85,1),(87,1),(145,1),(146,1)}
       115:{3,4,5}:{(85,1),(88,1),(128,1),(148,1)}
       116:{1,4,6,7}:{(86,1),(87,1),(145,1),(149,1),(150,1)}
       117:{3,4,7}:{(87,1),(88,1),(90,1),(152,1)}
       118:{1,3,4,6}:{(88,1),(91,1),(147,1),(151,1),(153,1)}
       119:{2,4,6}:{(88,1),(92,1),(148,1),(152,1)}
       120:{3,6,7}:{(89,1),(90,1),(183,1)}
       121:{1,3,5,7}:{(90,1),(91,1),(95,1),(151,1),(154,1),(156,1)}
       122:{2,3,5,7}:{(90,1),(92,1),(152,1),(155,1),(156,1),(197,1),(198,1)}
       123:{1,2,5,6}:{(91,1),(92,1),(153,1),(156,1),(186,1),(208,1)}
       124:{3,5,6,7}:{(93,1),(94,1),(157,1),(189,1)}
       125:{1,4,6,7}:{(94,1),(95,1),(154,1),(157,1),(190,1)}
       126:{1,2,5,6}:{(96,1),(100,1),(113,1),(158,1),(204,1),(206,1)}
       127:{1,2,4,5,7}:{(96,1),(97,1),(98,1),(101,1),(114,1),(158,1),(159,1),(167,1),(176,1),(201,1)}
       128:{3,5}:{(97,1),(99,1)}
       129:{3,4,7}:{(98,1),(99,1),(159,1)}
       130:{1,3,4,6}:{(99,1),(105,1),(160,1),(162,1),(164,1),(172,1),(199,1),(205,1)}
       131:{2,3,4,6}:{(99,1),(119,1),(161,1),(163,1),(164,1),(181,1),(200,1),(207,1)}
       132:{2,4,6}:{(100,1),(101,1),(166,1)}
       133:{3,4,5,7}:{(101,1),(102,1),(104,1),(159,1),(166,1),(167,1),(169,1)}
       134:{1,4,5}:{(102,1),(105,1),(160,1)}
       135:{2,3,4,5}:{(102,1),(106,1),(161,1),(168,1),(207,1)}
       136:{2,4,5,7}:{(103,1),(165,1),(169,1)}
       137:{3,4,6,7}:{(103,1),(104,1),(107,1),(166,1),(169,1),(170,1)}
       138:{1,4,7}:{(104,1),(105,1),(108,1)}
       139:{2,3,4,7}:{(104,1),(106,1),(109,1),(171,1)}
       140:{1,2,4,6}:{(105,1),(106,1),(110,1),(168,1),(171,1),(172,1)}
       141:{1,3,6,7}:{(107,1),(108,1),(170,1),(173,1),(199,1)}
       142:{2,3,6,7}:{(107,1),(109,1),(112,1),(173,1),(200,1)}
       143:{1,2,5,7}:{(108,1),(109,1),(110,1),(171,1),(173,1)}
       144:{2,5,6,7}:{(111,1),(112,1),(206,1)}
       145:{1,4,6}:{(113,1),(114,1),(175,1)}
       146:{3,4,5,7}:{(114,1),(115,1),(117,1),(159,1),(175,1),(176,1),(178,1)}
       147:{1,3,4,5}:{(115,1),(118,1),(160,1),(177,1),(205,1)}
       148:{2,4,5}:{(115,1),(119,1),(161,1)}
       149:{1,4,5,7}:{(116,1),(174,1),(178,1)}
       150:{3,4,6,7}:{(116,1),(117,1),(120,1),(175,1),(178,1),(179,1)}
       151:{1,3,4,7}:{(117,1),(118,1),(121,1),(180,1)}
       152:{2,4,7}:{(117,1),(119,1),(122,1)}
       153:{1,2,4,6}:{(118,1),(119,1),(123,1),(177,1),(180,1),(181,1)}
       154:{1,3,6,7}:{(120,1),(121,1),(125,1),(182,1),(199,1)}
       155:{2,3,6,7}:{(120,1),(122,1),(179,1),(182,1),(200,1)}
       156:{1,2,5,7}:{(121,1),(122,1),(123,1),(180,1),(182,1)}
       157:{1,5,6,7}:{(124,1),(125,1),(204,1)}
       158:{1,2,4,6}:{(126,1),(127,1),(132,1),(145,1),(183,1),(190,1),(195,1),(208,1)}
       159:{3,5,7}:{(127,1),(128,1),(129,1),(183,1)}
       160:{1,3,5}:{(128,1),(130,1),(134,1),(186,1)}
       161:{2,3,5}:{(128,1),(131,1),(148,1),(186,1)}
       162:{1,3,4,7}:{(129,1),(130,1),(138,1),(184,1),(187,1),(193,1)}
       163:{2,3,4,7}:{(129,1),(131,1),(152,1),(185,1),(187,1),(198,1)}
       164:{1,2,4,6}:{(130,1),(131,1),(186,1),(187,1),(188,1),(208,1),(209,1)}
       165:{2,4,5,6}:{(132,1),(136,1),(189,1)}
       166:{3,4,6}:{(132,1),(133,1),(183,1),(189,1),(190,1)}
       167:{1,4,5,7}:{(133,1),(134,1),(138,1),(184,1),(190,1),(192,1)}
       168:{1,2,4,5}:{(134,1),(135,1),(140,1),(186,1),(191,1),(209,1)}
       169:{3,5,7}:{(136,1),(137,1),(189,1),(192,1)}
       170:{1,4,6,7}:{(137,1),(138,1),(141,1),(190,1),(192,1)}
       171:{1,2,4,7}:{(138,1),(139,1),(140,1),(143,1),(193,1)}
       172:{1,3,6}:{(140,1),(191,1),(193,1)}
       173:{1,2,6,7}:{(141,1),(142,1),(143,1),(208,1)}
       174:{1,4,5,6}:{(145,1),(149,1),(194,1)}
       175:{3,4,6}:{(145,1),(146,1),(183,1),(194,1),(195,1)}
       176:{2,4,5,7}:{(146,1),(148,1),(152,1),(185,1),(195,1),(197,1)}
       177:{1,2,4,5}:{(147,1),(148,1),(153,1),(186,1),(196,1),(209,1)}
       178:{3,5,7}:{(149,1),(150,1),(194,1),(197,1)}
       179:{2,4,6,7}:{(150,1),(152,1),(155,1),(195,1),(197,1)}
       180:{1,2,4,7}:{(151,1),(152,1),(153,1),(156,1),(198,1)}
       181:{2,3,6}:{(153,1),(196,1),(198,1)}
       182:{1,2,6,7}:{(154,1),(155,1),(156,1),(208,1)}
       183:{3,6}:{(158,1),(159,1)}
       184:{1,3,5,7}:{(159,1),(160,1),(162,1),(167,1),(199,1),(201,1)}
       185:{2,3,5,7}:{(159,1),(161,1),(163,1),(176,1),(200,1),(201,1)}
       186:{1,2,5}:{(160,1),(161,1),(164,1)}
       187:{1,2,4,7}:{(162,1),(163,1),(164,1),(201,1),(203,1)}
       188:{1,2,3,6}:{(164,1),(172,1),(181,1),(202,1),(203,1)}
       189:{3,5,6}:{(165,1),(166,1),(169,1),(204,1)}
       190:{1,4,6}:{(166,1),(167,1),(199,1),(204,1)}
       191:{1,3,5}:{(168,1),(172,1),(205,1)}
       192:{1,5,7}:{(169,1),(170,1),(204,1)}
       193:{1,3,7}:{(171,1),(172,1)}
       194:{3,5,6}:{(174,1),(175,1),(178,1),(206,1)}
       195:{2,4,6}:{(175,1),(176,1),(200,1),(206,1)}
       196:{2,3,5}:{(177,1),(181,1),(207,1)}
       197:{2,5,7}:{(178,1),(179,1),(206,1)}
       198:{2,3,7}:{(180,1),(181,1)}
       199:{1,3,6}:{(183,1),(184,1),(190,1),(208,1)}
       200:{2,3,6}:{(183,1),(185,1),(195,1),(208,1)}
       201:{1,2,5,7}:{(184,1),(185,1),(186,1),(187,1),(208,1)}
       202:{1,2,3,5}:{(186,1),(188,1),(191,1),(196,1),(209,1)}
       203:{1,2,3,7}:{(187,1),(188,1),(193,1),(198,1)}
       204:{1,5,6}:{(189,1),(190,1),(192,1)}
       205:{1,3,4}:{(191,1),(209,1)}
       206:{2,5,6}:{(194,1),(195,1),(197,1)}
       207:{2,3,4}:{(196,1),(209,1)}
       208:{1,2,6}:{(199,1),(200,1),(201,1)}
       209:{1,2,4}:{(202,1),(205,1),(207,1)}

1062 :   0:{1,3,4,5}:{(2,1),(3,1),(32,1),(82,1),(134,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(24,1),(70,1),(144,1)}
         2:{1,3,4,6}:{(0,1),(7,1),(8,1),(9,1),(97,1)}
         3:{1,2,4,5}:{(0,1),(8,1),(10,1),(34,1),(92,1),(103,1)}
         4:{2,3,4,6}:{(1,1),(12,1),(13,1),(14,1),(110,1)}
         5:{1,2,4,5}:{(1,1),(13,1),(15,1),(34,1),(92,1),(116,1)}
         6:{3,4,5,6}:{(17,1),(18,1),(19,1),(62,1),(144,1),(200,1),(226,1)}
         7:{1,3,5,6}:{(2,1),(17,1),(20,1),(21,1),(62,1),(82,1),(150,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(20,1),(22,1),(23,1),(67,1)}
         9:{1,3,4,7}:{(2,1),(21,1),(23,1),(135,1)}
        10:{2,3,5}:{(3,1),(22,1),(24,1)}
        11:{3,4,5,6}:{(25,1),(26,1),(27,1),(74,1),(134,1),(194,1),(228,1)}
        12:{2,3,5,6}:{(4,1),(26,1),(28,1),(29,1),(70,1),(74,1),(140,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(28,1),(30,1),(31,1),(79,1)}
        14:{2,3,4,7}:{(4,1),(29,1),(31,1),(145,1)}
        15:{1,3,5}:{(5,1),(30,1),(32,1)}
        16:{1,2,3,5}:{(10,1),(15,1),(33,1),(34,1),(92,1)}
        17:{1,4,5,6}:{(6,1),(7,1),(37,1),(116,1),(177,1)}
        18:{2,4,5,6}:{(6,1),(35,1),(38,1),(171,1),(216,1)}
        19:{3,4,5,7}:{(6,1),(37,1),(38,1),(39,1),(98,1),(215,1)}
        20:{1,2,5,6}:{(7,1),(8,1),(40,1),(41,1),(92,1),(162,1)}
        21:{1,3,5,7}:{(7,1),(9,1),(37,1),(41,1),(42,1),(98,1)}
        22:{2,3,6}:{(8,1),(10,1),(44,1)}
        23:{1,2,4,7}:{(8,1),(9,1),(41,1),(44,1),(104,1)}
        24:{2,3,4}:{(10,1),(34,1)}
        25:{1,4,5,6}:{(11,1),(45,1),(47,1),(163,1),(212,1)}
        26:{2,4,5,6}:{(11,1),(12,1),(48,1),(103,1),(169,1)}
        27:{3,4,5,7}:{(11,1),(47,1),(48,1),(49,1),(111,1),(219,1)}
        28:{1,2,5,6}:{(12,1),(13,1),(50,1),(51,1),(92,1),(162,1)}
        29:{2,3,5,7}:{(12,1),(14,1),(48,1),(51,1),(52,1),(111,1)}
        30:{1,3,6}:{(13,1),(15,1),(54,1)}
        31:{1,2,4,7}:{(13,1),(14,1),(51,1),(54,1),(117,1)}
        32:{1,3,4}:{(15,1),(34,1)}
        33:{1,2,3,6}:{(16,1),(22,1),(30,1),(58,1),(59,1)}
        34:{1,2,4}:{(16,1),(24,1),(32,1)}
        35:{2,3,5,6}:{(18,1),(56,1),(60,1),(61,1),(62,1),(184,1),(221,1)}
        36:{1,2,4,5,6}:{(17,1),(18,1),(20,1),(60,1),(62,1),(63,1),(67,1),(127,1),(131,1),(190,1),(197,1),(225,1),(226,1)}
        37:{1,4,5,7}:{(17,1),(19,1),(21,1),(64,1)}
        38:{2,4,5,7}:{(18,1),(19,1),(61,1),(65,1)}
        39:{3,4,6,7}:{(19,1),(64,1),(65,1),(66,1),(136,1),(196,1),(200,1)}
        40:{2,3,5,6}:{(20,1),(22,1),(62,1),(67,1),(68,1),(70,1),(140,1),(197,1)}
        41:{1,2,5,7}:{(20,1),(21,1),(23,1),(68,1),(69,1)}
        42:{1,3,6,7}:{(21,1),(64,1),(69,1),(136,1),(150,1)}
        43:{2,3,4,6}:{(22,1),(24,1),(58,1),(67,1),(70,1),(71,1),(126,1),(140,1)}
        44:{2,3,7}:{(22,1),(23,1)}
        45:{1,3,5,6}:{(25,1),(55,1),(72,1),(73,1),(74,1),(186,1),(222,1)}
        46:{1,2,4,5,6}:{(25,1),(26,1),(28,1),(72,1),(74,1),(75,1),(79,1),(127,1),(141,1),(190,1),(203,1),(227,1),(228,1)}
        47:{1,4,5,7}:{(25,1),(27,1),(73,1),(76,1)}
        48:{2,4,5,7}:{(26,1),(27,1),(29,1),(77,1)}
        49:{3,4,6,7}:{(27,1),(76,1),(77,1),(78,1),(146,1),(194,1),(202,1)}
        50:{1,3,5,6}:{(28,1),(30,1),(74,1),(79,1),(80,1),(82,1),(150,1),(203,1)}
        51:{1,2,5,7}:{(28,1),(29,1),(31,1),(80,1),(81,1)}
        52:{2,3,6,7}:{(29,1),(77,1),(81,1),(140,1),(146,1)}
        53:{1,3,4,6}:{(30,1),(32,1),(58,1),(79,1),(82,1),(83,1),(126,1),(150,1)}
        54:{1,3,7}:{(30,1),(31,1)}
        55:{1,3,4,6}:{(45,1),(84,1),(86,1),(87,1),(110,1)}
        56:{2,3,4,6}:{(35,1),(85,1),(88,1),(89,1),(97,1)}
        57:{1,2,3,5,6}:{(33,1),(40,1),(50,1),(90,1),(91,1),(92,1),(94,1),(107,1),(153,1),(158,1),(162,1),(205,1),(209,1),(211,1),(229,1)}
        58:{1,2,4,6}:{(33,1),(34,1),(43,1),(53,1),(92,1),(93,1),(162,1)}
        59:{1,2,3,7}:{(33,1),(44,1),(54,1),(93,1)}
        60:{1,2,5,6}:{(35,1),(88,1),(94,1),(95,1),(205,1),(229,1)}
        61:{2,3,5,7}:{(35,1),(38,1),(89,1),(95,1),(96,1),(98,1)}
        62:{3,5,6}:{(36,1),(97,1),(98,1),(158,1),(209,1)}
        63:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(41,1),(95,1),(98,1),(99,1),(104,1),(164,1),(170,1),(213,1),(215,1)}
        64:{1,4,6,7}:{(37,1),(39,1),(42,1),(100,1),(177,1)}
        65:{2,4,6,7}:{(38,1),(39,1),(96,1),(101,1),(216,1)}
        66:{3,5,6,7}:{(39,1),(100,1),(101,1),(102,1),(218,1)}
        67:{2,4,6}:{(40,1),(97,1),(103,1),(104,1)}
        68:{2,3,5,7}:{(40,1),(41,1),(44,1),(98,1),(104,1),(105,1),(170,1)}
        69:{1,2,6,7}:{(41,1),(42,1),(105,1),(162,1)}
        70:{2,3,5}:{(43,1),(92,1),(103,1),(158,1)}
        71:{2,3,4,7}:{(43,1),(44,1),(93,1),(104,1),(106,1),(159,1)}
        72:{1,2,5,6}:{(45,1),(86,1),(107,1),(108,1),(205,1),(229,1)}
        73:{1,3,5,7}:{(45,1),(47,1),(87,1),(108,1),(109,1),(111,1)}
        74:{3,5,6}:{(46,1),(110,1),(111,1),(158,1),(209,1)}
        75:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(51,1),(108,1),(111,1),(112,1),(117,1),(172,1),(178,1),(217,1),(219,1)}
        76:{1,4,6,7}:{(47,1),(49,1),(109,1),(113,1),(212,1)}
        77:{2,4,6,7}:{(48,1),(49,1),(52,1),(114,1),(169,1)}
        78:{3,5,6,7}:{(49,1),(113,1),(114,1),(115,1),(214,1)}
        79:{1,4,6}:{(50,1),(110,1),(116,1),(117,1)}
        80:{1,3,5,7}:{(50,1),(51,1),(54,1),(111,1),(117,1),(118,1),(178,1)}
        81:{1,2,6,7}:{(51,1),(52,1),(118,1),(162,1)}
        82:{1,3,5}:{(53,1),(92,1),(116,1),(158,1)}
        83:{1,3,4,7}:{(53,1),(54,1),(93,1),(117,1),(119,1),(159,1)}
        84:{1,3,4,5}:{(55,1),(120,1),(144,1),(181,1),(186,1)}
        85:{2,3,4,5}:{(56,1),(121,1),(134,1),(180,1),(184,1)}
        86:{1,2,4,6}:{(55,1),(72,1),(120,1),(122,1),(123,1),(141,1)}
        87:{1,3,4,7}:{(55,1),(73,1),(123,1),(145,1)}
        88:{1,2,4,6}:{(56,1),(60,1),(121,1),(124,1),(125,1),(131,1)}
        89:{2,3,4,7}:{(56,1),(61,1),(125,1),(135,1)}
        90:{1,2,4,6}:{(57,1),(67,1),(79,1),(126,1),(127,1),(128,1),(131,1),(141,1)}
        91:{1,2,3,5,7}:{(57,1),(59,1),(68,1),(80,1),(128,1),(129,1),(130,1),(132,1),(142,1),(183,1),(188,1),(191,1),(220,1)}
        92:{1,2,5}:{(58,1),(70,1),(82,1)}
        93:{1,2,4,7}:{(58,1),(59,1),(71,1),(83,1),(130,1)}
        94:{1,3,5,6}:{(60,1),(62,1),(124,1),(131,1),(132,1),(186,1),(222,1),(225,1)}
        95:{1,2,5,7}:{(60,1),(61,1),(125,1),(132,1),(133,1)}
        96:{2,3,6,7}:{(61,1),(65,1),(133,1),(136,1),(221,1)}
        97:{3,4,6}:{(62,1),(67,1),(131,1),(134,1),(135,1)}
        98:{3,5,7}:{(62,1),(63,1),(135,1),(136,1)}
        99:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(69,1),(133,1),(136,1),(137,1),(139,1),(190,1),(193,1),(196,1)}
       100:{1,5,6,7}:{(64,1),(66,1),(203,1)}
       101:{2,5,6,7}:{(65,1),(66,1),(227,1)}
       102:{4,5,6,7}:{(66,1),(196,1),(228,1)}
       103:{2,4,5}:{(67,1),(70,1),(134,1)}
       104:{2,4,7}:{(67,1),(68,1),(135,1)}
       105:{2,3,6,7}:{(68,1),(69,1),(136,1),(139,1),(140,1)}
       106:{2,3,5,7}:{(70,1),(71,1),(130,1),(138,1),(140,1),(188,1)}
       107:{2,3,5,6}:{(72,1),(74,1),(122,1),(141,1),(142,1),(184,1),(221,1),(227,1)}
       108:{1,2,5,7}:{(72,1),(73,1),(123,1),(142,1),(143,1)}
       109:{1,3,6,7}:{(73,1),(76,1),(143,1),(146,1),(222,1)}
       110:{3,4,6}:{(74,1),(79,1),(141,1),(144,1),(145,1)}
       111:{3,5,7}:{(74,1),(75,1),(145,1),(146,1)}
       112:{1,2,4,6,7}:{(75,1),(76,1),(77,1),(81,1),(143,1),(146,1),(147,1),(149,1),(190,1),(199,1),(202,1)}
       113:{1,5,6,7}:{(76,1),(78,1),(225,1)}
       114:{2,5,6,7}:{(77,1),(78,1),(197,1)}
       115:{4,5,6,7}:{(78,1),(202,1),(226,1)}
       116:{1,4,5}:{(79,1),(82,1),(144,1)}
       117:{1,4,7}:{(79,1),(80,1),(145,1)}
       118:{1,3,6,7}:{(80,1),(81,1),(146,1),(149,1),(150,1)}
       119:{1,3,5,7}:{(82,1),(83,1),(130,1),(148,1),(150,1),(188,1)}
       120:{1,2,4,5}:{(84,1),(86,1),(151,1),(171,1),(204,1),(205,1)}
       121:{1,2,4,5}:{(85,1),(88,1),(152,1),(163,1),(204,1),(205,1)}
       122:{2,3,6}:{(86,1),(151,1),(155,1)}
       123:{1,2,4,7}:{(86,1),(87,1),(108,1),(155,1),(172,1)}
       124:{1,3,6}:{(88,1),(152,1),(157,1)}
       125:{1,2,4,7}:{(88,1),(89,1),(95,1),(157,1),(164,1)}
       126:{3,4,6}:{(90,1),(158,1),(159,1),(209,1)}
       127:{1,2,4,5}:{(90,1),(92,1),(103,1),(116,1),(158,1),(163,1),(171,1),(205,1)}
       128:{1,2,4,7}:{(90,1),(91,1),(104,1),(117,1),(159,1),(164,1),(172,1)}
       129:{1,2,3,6,7}:{(91,1),(105,1),(118,1),(161,1),(162,1),(165,1),(173,1),(209,1),(229,1)}
       130:{1,2,5,7}:{(92,1),(93,1),(106,1),(119,1),(162,1)}
       131:{1,4,6}:{(94,1),(97,1),(163,1),(164,1)}
       132:{1,3,5,7}:{(94,1),(95,1),(98,1),(157,1),(164,1),(165,1),(213,1)}
       133:{1,2,6,7}:{(95,1),(96,1),(165,1),(229,1)}
       134:{3,4,5}:{(97,1),(103,1),(158,1),(163,1)}
       135:{3,4,7}:{(97,1),(98,1),(104,1),(164,1)}
       136:{3,6,7}:{(98,1),(99,1),(209,1)}
       137:{1,2,5,6,7}:{(99,1),(100,1),(101,1),(168,1),(170,1),(211,1),(213,1)}
       138:{2,4,5,7}:{(103,1),(104,1),(106,1),(166,1),(169,1),(170,1)}
       139:{2,4,6,7}:{(104,1),(105,1),(167,1),(169,1),(170,1)}
       140:{2,3,6}:{(106,1),(162,1),(169,1),(209,1)}
       141:{2,4,6}:{(107,1),(110,1),(171,1),(172,1)}
       142:{2,3,5,7}:{(107,1),(108,1),(111,1),(155,1),(172,1),(173,1),(217,1)}
       143:{1,2,6,7}:{(108,1),(109,1),(173,1),(229,1)}
       144:{3,4,5}:{(110,1),(116,1),(158,1),(171,1)}
       145:{3,4,7}:{(110,1),(111,1),(117,1),(172,1)}
       146:{3,6,7}:{(111,1),(112,1),(209,1)}
       147:{1,2,5,6,7}:{(112,1),(113,1),(114,1),(176,1),(178,1),(211,1),(217,1)}
       148:{1,4,5,7}:{(116,1),(117,1),(119,1),(174,1),(177,1),(178,1)}
       149:{1,4,6,7}:{(117,1),(118,1),(175,1),(177,1),(178,1)}
       150:{1,3,6}:{(119,1),(162,1),(177,1),(209,1)}
       151:{2,3,5}:{(120,1),(122,1),(180,1)}
       152:{1,3,5}:{(121,1),(124,1),(181,1)}
       153:{1,2,3,6}:{(122,1),(124,1),(179,1),(182,1),(183,1)}
       154:{2,3,4,6}:{(122,1),(126,1),(141,1),(180,1),(182,1),(184,1),(185,1),(221,1)}
       155:{2,3,7}:{(122,1),(123,1)}
       156:{1,3,4,6}:{(124,1),(126,1),(131,1),(181,1),(182,1),(186,1),(187,1),(222,1)}
       157:{1,3,7}:{(124,1),(125,1)}
       158:{3,5}:{(126,1),(127,1)}
       159:{3,4,7}:{(126,1),(128,1),(188,1)}
       160:{1,2,4,5,7}:{(127,1),(128,1),(130,1),(138,1),(148,1),(188,1),(190,1),(191,1),(192,1),(198,1),(220,1),(224,1)}
       161:{1,2,4,6,7}:{(128,1),(129,1),(139,1),(149,1),(189,1),(190,1),(191,1),(193,1),(199,1)}
       162:{1,2,6}:{(130,1),(140,1),(150,1)}
       163:{1,4,5}:{(131,1),(134,1),(186,1)}
       164:{1,4,7}:{(131,1),(132,1),(135,1)}
       165:{1,3,6,7}:{(132,1),(133,1),(136,1),(193,1),(222,1)}
       166:{3,4,5,7}:{(134,1),(135,1),(138,1),(188,1),(192,1),(194,1),(195,1),(224,1)}
       167:{3,4,6,7}:{(135,1),(136,1),(139,1),(193,1),(194,1),(195,1),(196,1)}
       168:{3,5,6,7}:{(136,1),(137,1),(195,1),(196,1),(223,1)}
       169:{2,4,6}:{(138,1),(140,1),(194,1),(197,1)}
       170:{2,5,7}:{(139,1),(195,1),(197,1)}
       171:{2,4,5}:{(141,1),(144,1),(184,1)}
       172:{2,4,7}:{(141,1),(142,1),(145,1)}
       173:{2,3,6,7}:{(142,1),(143,1),(146,1),(199,1),(221,1)}
       174:{3,4,5,7}:{(144,1),(145,1),(148,1),(188,1),(198,1),(200,1),(201,1),(224,1)}
       175:{3,4,6,7}:{(145,1),(146,1),(149,1),(199,1),(200,1),(201,1),(202,1)}
       176:{3,5,6,7}:{(146,1),(147,1),(201,1),(202,1),(223,1)}
       177:{1,4,6}:{(148,1),(150,1),(200,1),(203,1)}
       178:{1,5,7}:{(149,1),(201,1),(203,1)}
       179:{1,2,3,5}:{(151,1),(152,1),(153,1),(204,1),(205,1)}
       180:{2,3,4}:{(151,1),(204,1)}
       181:{1,3,4}:{(152,1),(204,1)}
       182:{1,2,4,6}:{(153,1),(154,1),(156,1),(204,1),(205,1),(206,1),(229,1)}
       183:{1,2,3,7}:{(153,1),(155,1),(157,1),(206,1)}
       184:{2,3,5}:{(154,1),(158,1),(171,1),(205,1)}
       185:{2,3,4,7}:{(154,1),(155,1),(159,1),(172,1),(206,1),(207,1)}
       186:{1,3,5}:{(156,1),(158,1),(163,1),(205,1)}
       187:{1,3,4,7}:{(156,1),(157,1),(159,1),(164,1),(206,1),(208,1)}
       188:{3,5,7}:{(158,1),(159,1),(160,1),(209,1)}
       189:{3,4,6,7}:{(159,1),(161,1),(209,1),(210,1),(230,1)}
       190:{1,2,4,6}:{(160,1),(162,1),(169,1),(177,1),(209,1),(211,1),(212,1),(216,1),(229,1),(230,1)}
       191:{1,2,5,7}:{(161,1),(170,1),(178,1),(210,1),(211,1),(213,1),(217,1)}
       192:{1,4,5,7}:{(163,1),(164,1),(166,1),(208,1),(212,1),(213,1)}
       193:{1,4,6,7}:{(164,1),(165,1),(167,1),(212,1),(213,1)}
       194:{3,4,6}:{(166,1),(169,1),(209,1),(212,1),(214,1),(230,1)}
       195:{3,5,7}:{(167,1),(170,1),(213,1),(214,1),(215,1)}
       196:{4,6,7}:{(168,1),(215,1),(230,1)}
       197:{2,5,6}:{(169,1),(170,1),(214,1)}
       198:{2,4,5,7}:{(171,1),(172,1),(174,1),(207,1),(216,1),(217,1)}
       199:{2,4,6,7}:{(172,1),(173,1),(175,1),(216,1),(217,1)}
       200:{3,4,6}:{(174,1),(177,1),(209,1),(216,1),(218,1),(230,1)}
       201:{3,5,7}:{(175,1),(178,1),(217,1),(218,1),(219,1)}
       202:{4,6,7}:{(176,1),(219,1),(230,1)}
       203:{1,5,6}:{(177,1),(178,1),(218,1)}
       204:{1,2,4}:{(179,1),(180,1),(181,1)}
       205:{1,2,5}:{(182,1),(184,1),(186,1)}
       206:{1,2,4,7}:{(182,1),(183,1),(185,1),(187,1),(220,1)}
       207:{2,3,5,7}:{(184,1),(185,1),(188,1),(198,1),(220,1),(221,1)}
       208:{1,3,5,7}:{(186,1),(187,1),(188,1),(192,1),(220,1),(222,1)}
       209:{3,6}:{(188,1),(190,1)}
       210:{3,5,7}:{(189,1),(191,1),(223,1),(224,1)}
       211:{1,2,5,6}:{(190,1),(191,1),(197,1),(203,1),(223,1),(225,1),(227,1)}
       212:{1,4,6}:{(192,1),(194,1),(222,1),(225,1)}
       213:{1,5,7}:{(193,1),(195,1),(225,1)}
       214:{3,5,6}:{(194,1),(195,1),(197,1),(225,1),(226,1)}
       215:{4,5,7}:{(195,1),(196,1),(226,1)}
       216:{2,4,6}:{(198,1),(200,1),(221,1),(227,1)}
       217:{2,5,7}:{(199,1),(201,1),(227,1)}
       218:{3,5,6}:{(200,1),(201,1),(203,1),(227,1),(228,1)}
       219:{4,5,7}:{(201,1),(202,1),(228,1)}
       220:{1,2,5,7}:{(205,1),(206,1),(207,1),(208,1),(229,1)}
       221:{2,3,6}:{(207,1),(209,1),(216,1),(229,1)}
       222:{1,3,6}:{(208,1),(209,1),(212,1),(229,1)}
       223:{3,5,6}:{(209,1),(210,1),(211,1),(230,1)}
       224:{4,5,7}:{(210,1),(230,1)}
       225:{1,5,6}:{(212,1),(213,1),(214,1)}
       226:{4,5,6}:{(214,1),(215,1),(230,1)}
       227:{2,5,6}:{(216,1),(217,1),(218,1)}
       228:{4,5,6}:{(218,1),(219,1),(230,1)}
       229:{1,2,6}:{(220,1),(221,1),(222,1)}
       230:{4,6}:{(223,1),(224,1)}

1063 :   0:{1,2,3,4,6}:{(1,1),(2,1),(6,1),(10,1),(48,1),(51,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(13,1),(63,1)}
         3:{1,2,3,5,6}:{(1,1),(6,1),(7,1),(10,1),(19,1),(27,1),(43,1),(48,1)}
         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)}
         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),(37,1),(58,1),(63,1)}
         8:{3,4,5}:{(4,1),(12,1)}
         9:{1,2,4,5,7}:{(4,1),(5,1),(13,1),(17,1),(18,1),(37,1)}
        10:{1,2,3,6}:{(5,1),(18,1)}
        11:{1,2,4,5,6}:{(6,1),(19,1),(20,1),(27,1),(40,1),(41,1),(43,1),(52,1)}
        12:{3,4,6}:{(6,1),(8,1),(19,1),(23,1)}
        13:{1,2,4,7}:{(6,1),(7,1),(23,1)}
        14:{1,2,3,6,7}:{(7,1),(10,1),(24,1),(46,1),(72,1)}
        15:{1,3,4,5}:{(8,1),(21,1),(25,1),(86,1)}
        16:{2,3,4,5}:{(8,1),(22,1),(25,1),(86,1)}
        17:{3,4,5,7}:{(8,1),(9,1),(23,1),(26,1),(50,1)}
        18:{1,2,4,6}:{(9,1),(10,1),(26,1),(27,1)}
        19:{3,5,6}:{(11,1),(12,1),(31,1)}
        20:{1,2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(37,1),(54,1),(55,1),(58,1),(64,1)}
        21:{1,3,4,6}:{(12,1),(15,1),(29,1),(33,1),(34,1),(76,1)}
        22:{2,3,4,6}:{(12,1),(16,1),(30,1),(33,1),(35,1),(76,1)}
        23:{3,4,7}:{(12,1),(13,1),(31,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(18,1),(36,1),(37,1)}
        25:{1,2,4,5}:{(15,1),(16,1),(33,1),(38,1)}
        26:{3,4,6}:{(17,1),(18,1),(39,1)}
        27:{1,2,5,6}:{(18,1),(37,1),(39,1)}
        28:{3,4,5,6}:{(19,1),(40,1),(41,1),(42,1),(52,1),(65,1),(104,1)}
        29:{1,3,5,6}:{(19,1),(21,1),(40,1),(43,1),(44,1),(65,1)}
        30:{2,3,5,6}:{(19,1),(22,1),(41,1),(43,1),(45,1),(65,1)}
        31:{3,5,7}:{(19,1),(20,1),(23,1),(46,1)}
        32:{1,2,4,6,7}:{(20,1),(46,1),(47,1),(67,1),(68,1),(72,1),(73,1)}
        33:{1,2,4,6}:{(21,1),(22,1),(25,1),(43,1),(48,1),(49,1)}
        34:{1,3,4,7}:{(21,1),(23,1),(44,1),(49,1),(87,1)}
        35:{2,3,4,7}:{(22,1),(23,1),(45,1),(49,1),(87,1)}
        36:{3,4,6,7}:{(23,1),(24,1),(26,1),(46,1),(50,1),(73,1)}
        37:{1,2,5,7}:{(24,1),(27,1),(50,1)}
        38:{1,2,3,5}:{(25,1),(48,1),(51,1)}
        39:{3,5,6}:{(26,1),(27,1),(50,1),(52,1)}
        40:{1,4,5,6}:{(28,1),(29,1),(54,1)}
        41:{2,4,5,6}:{(28,1),(30,1),(55,1)}
        42:{3,4,5,7}:{(28,1),(31,1),(54,1),(55,1),(56,1),(64,1),(77,1),(103,1)}
        43:{1,2,5,6}:{(29,1),(30,1),(33,1),(58,1)}
        44:{1,3,5,7}:{(29,1),(31,1),(34,1),(54,1),(58,1),(59,1),(77,1)}
        45:{2,3,5,7}:{(30,1),(31,1),(35,1),(55,1),(58,1),(60,1),(77,1)}
        46:{3,6,7}:{(31,1),(32,1)}
        47:{1,2,5,6,7}:{(32,1),(37,1),(61,1),(79,1),(80,1)}
        48:{1,2,3,6}:{(33,1),(38,1),(63,1)}
        49:{1,2,4,7}:{(33,1),(34,1),(35,1),(58,1),(63,1)}
        50:{3,5,7}:{(36,1),(37,1),(39,1),(64,1)}
        51:{1,2,3,4}:{(38,1)}
        52:{4,5,6}:{(39,1),(64,1)}
        53:{1,2,4,5,6}:{(40,1),(41,1),(43,1),(65,1),(66,1),(70,1),(101,1),(104,1)}
        54:{1,4,5,7}:{(40,1),(42,1),(44,1),(67,1)}
        55:{2,4,5,7}:{(41,1),(42,1),(45,1),(68,1)}
        56:{3,4,6,7}:{(42,1),(46,1),(67,1),(68,1),(69,1),(73,1),(88,1),(100,1)}
        57:{1,2,3,5,6}:{(43,1),(48,1),(65,1),(70,1),(71,1),(74,1),(92,1),(101,1)}
        58:{1,2,5,7}:{(43,1),(44,1),(45,1),(49,1),(72,1)}
        59:{1,3,6,7}:{(44,1),(46,1),(67,1),(72,1),(88,1)}
        60:{2,3,6,7}:{(45,1),(46,1),(68,1),(72,1),(88,1)}
        61:{3,5,6,7}:{(46,1),(47,1),(50,1),(73,1)}
        62:{1,2,3,4,6}:{(48,1),(51,1),(70,1),(74,1),(75,1),(92,1)}
        63:{1,2,3,7}:{(48,1),(49,1)}
        64:{4,5,7}:{(50,1),(52,1),(73,1)}
        65:{3,5,6}:{(53,1),(76,1),(77,1)}
        66:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(58,1),(77,1),(78,1),(83,1),(97,1),(103,1)}
        67:{1,4,6,7}:{(54,1),(56,1),(59,1),(79,1)}
        68:{2,4,6,7}:{(55,1),(56,1),(60,1),(80,1)}
        69:{3,5,6,7}:{(56,1),(79,1),(80,1),(81,1)}
        70:{1,2,4,6}:{(57,1),(76,1),(82,1),(83,1)}
        71:{1,2,3,5,7}:{(57,1),(58,1),(63,1),(77,1),(83,1),(84,1),(97,1)}
        72:{1,2,6,7}:{(58,1),(59,1),(60,1)}
        73:{4,6,7}:{(61,1),(64,1)}
        74:{1,2,3,5}:{(62,1),(82,1)}
        75:{1,2,3,4,7}:{(62,1),(63,1),(83,1),(85,1)}
        76:{3,4,6}:{(65,1),(70,1),(86,1),(87,1)}
        77:{3,5,7}:{(65,1),(66,1),(87,1),(88,1)}
        78:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(72,1),(88,1),(89,1),(100,1)}
        79:{1,5,6,7}:{(67,1),(69,1)}
        80:{2,5,6,7}:{(68,1),(69,1)}
        81:{4,5,6,7}:{(69,1),(73,1),(100,1)}
        82:{1,2,4,5}:{(70,1),(74,1),(86,1)}
        83:{1,2,4,7}:{(70,1),(71,1),(87,1)}
        84:{1,2,3,6,7}:{(71,1),(72,1),(88,1),(91,1),(92,1)}
        85:{1,2,3,5,7}:{(74,1),(75,1),(90,1),(92,1)}
        86:{3,4,5}:{(76,1),(82,1)}
        87:{3,4,7}:{(76,1),(77,1),(83,1)}
        88:{3,6,7}:{(77,1),(78,1)}
        89:{1,2,5,6,7}:{(78,1),(79,1),(80,1),(95,1),(97,1)}
        90:{1,2,4,5,7}:{(82,1),(83,1),(85,1),(93,1),(96,1),(97,1)}
        91:{1,2,4,6,7}:{(83,1),(84,1),(94,1),(96,1),(97,1)}
        92:{1,2,3,6}:{(85,1),(96,1)}
        93:{3,4,5,7}:{(86,1),(87,1),(90,1),(98,1),(99,1)}
        94:{3,4,6,7}:{(87,1),(88,1),(91,1),(98,1),(99,1),(100,1)}
        95:{3,5,6,7}:{(88,1),(89,1),(99,1),(100,1)}
        96:{1,2,4,6}:{(90,1),(92,1),(98,1),(101,1)}
        97:{1,2,5,7}:{(91,1),(99,1),(101,1)}
        98:{3,4,6}:{(93,1),(96,1),(102,1)}
        99:{3,5,7}:{(94,1),(97,1),(102,1),(103,1)}
       100:{4,6,7}:{(95,1),(103,1)}
       101:{1,2,5,6}:{(96,1),(97,1),(102,1)}
       102:{3,5,6}:{(98,1),(99,1),(101,1),(104,1)}
       103:{4,5,7}:{(99,1),(100,1),(104,1)}
       104:{4,5,6}:{(102,1),(103,1)}

1064 :   0:{1,2,3,4,7}:{(1,1),(2,1),(21,1),(65,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1)}
         2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(15,1),(54,1),(55,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(21,1)}
         4:{1,2,3,6}:{(1,1),(7,1)}
         5:{1,2,3,5}:{(2,1),(10,1)}
         6:{3,4,5,7}:{(3,1),(11,1),(16,1),(25,1),(30,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(11,1),(13,1)}
         8:{1,2,3,6,7}:{(4,1),(12,1),(14,1),(49,1),(72,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(15,1),(29,1),(52,1),(54,1)}
        10:{1,2,4,5}:{(5,1),(15,1),(16,1)}
        11:{3,4,6}:{(6,1),(7,1),(18,1)}
        12:{1,2,4,6,7}:{(7,1),(8,1),(17,1),(19,1),(21,1)}
        13:{1,2,5,6}:{(7,1),(18,1),(19,1)}
        14:{1,2,3,5,7}:{(8,1),(9,1),(19,1),(21,1),(38,1),(63,1),(65,1)}
        15:{1,2,4,6}:{(9,1),(10,1),(21,1),(22,1)}
        16:{3,4,5}:{(10,1),(22,1)}
        17:{3,4,6,7}:{(11,1),(12,1),(25,1),(30,1),(45,1),(49,1)}
        18:{3,5,6}:{(11,1),(13,1),(25,1),(26,1)}
        19:{1,2,5,7}:{(12,1),(13,1),(25,1)}
        20:{1,2,4,5,6}:{(13,1),(15,1),(26,1),(28,1),(29,1),(47,1),(48,1),(52,1)}
        21:{1,2,4,7}:{(14,1),(15,1),(30,1)}
        22:{3,4,6}:{(15,1),(16,1),(29,1),(30,1)}
        23:{1,3,4,5}:{(16,1),(31,1),(33,1),(89,1)}
        24:{2,3,4,5}:{(16,1),(32,1),(33,1),(89,1)}
        25:{3,5,7}:{(17,1),(18,1),(19,1),(35,1)}
        26:{4,5,6}:{(18,1),(35,1)}
        27:{1,2,5,6,7}:{(19,1),(34,1),(37,1),(77,1),(78,1)}
        28:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(35,1),(37,1),(38,1),(58,1),(59,1),(63,1)}
        29:{3,5,6}:{(20,1),(22,1),(38,1)}
        30:{3,4,7}:{(21,1),(22,1),(38,1)}
        31:{1,3,4,6}:{(22,1),(23,1),(39,1),(41,1),(43,1),(81,1)}
        32:{2,3,4,6}:{(22,1),(24,1),(40,1),(42,1),(43,1),(81,1)}
        33:{1,2,4,5}:{(23,1),(24,1),(43,1),(44,1)}
        34:{3,5,6,7}:{(25,1),(27,1),(45,1),(49,1)}
        35:{4,5,7}:{(25,1),(26,1),(45,1)}
        36:{3,4,5,6}:{(26,1),(29,1),(46,1),(47,1),(48,1),(71,1),(104,1)}
        37:{1,2,4,6,7}:{(27,1),(28,1),(45,1),(49,1),(68,1),(69,1),(72,1)}
        38:{3,5,7}:{(28,1),(29,1),(30,1),(49,1)}
        39:{1,3,5,6}:{(29,1),(31,1),(47,1),(50,1),(52,1),(71,1)}
        40:{2,3,5,6}:{(29,1),(32,1),(48,1),(51,1),(52,1),(71,1)}
        41:{1,3,4,7}:{(30,1),(31,1),(50,1),(53,1),(88,1)}
        42:{2,3,4,7}:{(30,1),(32,1),(51,1),(53,1),(88,1)}
        43:{1,2,4,6}:{(31,1),(32,1),(33,1),(52,1),(53,1),(54,1)}
        44:{1,2,3,5}:{(33,1),(54,1),(55,1)}
        45:{4,6,7}:{(34,1),(35,1)}
        46:{3,4,5,7}:{(35,1),(36,1),(38,1),(57,1),(58,1),(59,1),(80,1),(102,1)}
        47:{1,4,5,6}:{(36,1),(39,1),(58,1)}
        48:{2,4,5,6}:{(36,1),(40,1),(59,1)}
        49:{3,6,7}:{(37,1),(38,1)}
        50:{1,3,5,7}:{(38,1),(39,1),(41,1),(58,1),(61,1),(63,1),(80,1)}
        51:{2,3,5,7}:{(38,1),(40,1),(42,1),(59,1),(62,1),(63,1),(80,1)}
        52:{1,2,5,6}:{(39,1),(40,1),(43,1),(63,1)}
        53:{1,2,4,7}:{(41,1),(42,1),(43,1),(63,1),(65,1)}
        54:{1,2,3,6}:{(43,1),(44,1),(65,1)}
        55:{1,2,3,4}:{(44,1)}
        56:{4,5,6,7}:{(45,1),(67,1),(98,1)}
        57:{3,4,6,7}:{(45,1),(46,1),(49,1),(67,1),(68,1),(69,1),(87,1),(98,1)}
        58:{1,4,5,7}:{(46,1),(47,1),(50,1),(68,1)}
        59:{2,4,5,7}:{(46,1),(48,1),(51,1),(69,1)}
        60:{1,2,4,5,6}:{(47,1),(48,1),(52,1),(70,1),(71,1),(74,1),(101,1),(104,1)}
        61:{1,3,6,7}:{(49,1),(50,1),(68,1),(72,1),(87,1)}
        62:{2,3,6,7}:{(49,1),(51,1),(69,1),(72,1),(87,1)}
        63:{1,2,5,7}:{(50,1),(51,1),(52,1),(53,1),(72,1)}
        64:{1,2,3,5,6}:{(52,1),(54,1),(71,1),(73,1),(74,1),(76,1),(92,1),(101,1)}
        65:{1,2,3,7}:{(53,1),(54,1)}
        66:{1,2,3,4,6}:{(54,1),(55,1),(74,1),(75,1),(76,1),(92,1)}
        67:{3,5,6,7}:{(56,1),(57,1),(77,1),(78,1)}
        68:{1,4,6,7}:{(57,1),(58,1),(61,1),(77,1)}
        69:{2,4,6,7}:{(57,1),(59,1),(62,1),(78,1)}
        70:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(63,1),(79,1),(80,1),(83,1),(96,1),(102,1)}
        71:{3,5,6}:{(60,1),(80,1),(81,1)}
        72:{1,2,6,7}:{(61,1),(62,1),(63,1)}
        73:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(80,1),(82,1),(83,1),(96,1)}
        74:{1,2,4,6}:{(64,1),(81,1),(83,1),(84,1)}
        75:{1,2,3,4,7}:{(65,1),(66,1),(83,1),(85,1)}
        76:{1,2,3,5}:{(66,1),(84,1)}
        77:{1,5,6,7}:{(67,1),(68,1)}
        78:{2,5,6,7}:{(67,1),(69,1)}
        79:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(72,1),(86,1),(87,1),(98,1)}
        80:{3,5,7}:{(70,1),(71,1),(87,1),(88,1)}
        81:{3,4,6}:{(71,1),(74,1),(88,1),(89,1)}
        82:{1,2,3,6,7}:{(72,1),(73,1),(87,1),(90,1),(92,1)}
        83:{1,2,4,7}:{(73,1),(74,1),(88,1)}
        84:{1,2,4,5}:{(74,1),(76,1),(89,1)}
        85:{1,2,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,2,5,6,7}:{(77,1),(78,1),(79,1),(93,1),(96,1)}
        87:{3,6,7}:{(79,1),(80,1)}
        88:{3,4,7}:{(80,1),(81,1),(83,1)}
        89:{3,4,5}:{(81,1),(84,1)}
        90:{1,2,4,6,7}:{(82,1),(83,1),(94,1),(96,1),(97,1)}
        91:{1,2,4,5,7}:{(83,1),(84,1),(85,1),(95,1),(96,1),(97,1)}
        92:{1,2,3,6}:{(85,1),(97,1)}
        93:{3,5,6,7}:{(86,1),(87,1),(98,1),(99,1)}
        94:{3,4,6,7}:{(87,1),(88,1),(90,1),(98,1),(99,1),(100,1)}
        95:{3,4,5,7}:{(88,1),(89,1),(91,1),(99,1),(100,1)}
        96:{1,2,5,7}:{(90,1),(99,1),(101,1)}
        97:{1,2,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{4,6,7}:{(93,1),(102,1)}
        99:{3,5,7}:{(94,1),(96,1),(102,1),(103,1)}
       100:{3,4,6}:{(95,1),(97,1),(103,1)}
       101:{1,2,5,6}:{(96,1),(97,1),(103,1)}
       102:{4,5,7}:{(98,1),(99,1),(104,1)}
       103:{3,5,6}:{(99,1),(100,1),(101,1),(104,1)}
       104:{4,5,6}:{(102,1),(103,1)}

1065 :   0:{1,3,4,6,7}:{(2,1),(3,1),(14,1),(36,1),(42,1),(45,1),(67,1),(73,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(37,1),(42,1),(45,1),(68,1),(74,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(26,1),(29,1),(52,1),(53,1),(80,1),(87,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(30,1),(49,1),(85,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(8,1),(10,1),(30,1),(50,1),(86,1)}
         5:{1,3,5,6}:{(3,1),(13,1),(14,1),(39,1),(42,1)}
         6:{2,3,5,6}:{(4,1),(13,1),(15,1),(40,1),(42,1)}
         7:{1,2,3,6,7}:{(2,1),(16,1),(42,1),(67,1),(68,1),(75,1),(96,1),(101,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(4,1),(13,1),(65,1),(66,1),(95,1)}
         9:{1,4,5,7}:{(3,1),(14,1),(18,1),(89,1),(92,1)}
        10:{2,4,5,7}:{(4,1),(15,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(5,1),(20,1),(21,1),(49,1),(51,1),(78,1)}
        12:{2,3,5,6,7}:{(6,1),(20,1),(22,1),(50,1),(51,1),(79,1)}
        13:{1,2,5,6}:{(5,1),(6,1),(8,1),(26,1),(55,1),(56,1)}
        14:{1,4,6}:{(5,1),(9,1),(27,1)}
        15:{2,4,6}:{(6,1),(10,1),(28,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(25,1),(29,1),(30,1),(63,1),(78,1),(79,1),(88,1),(100,1)}
        17:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(26,1),(29,1),(30,1),(31,1),(32,1),(57,1),(63,1),(97,1),(98,1)}
        18:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(49,1),(77,1),(81,1)}
        19:{3,4,5,7}:{(10,1),(28,1),(30,1),(32,1),(50,1),(77,1),(81,1)}
        20:{1,2,5,6,7}:{(11,1),(12,1),(13,1),(35,1),(65,1),(66,1),(91,1)}
        21:{1,4,6,7}:{(11,1),(14,1),(33,1),(36,1),(89,1)}
        22:{2,4,6,7}:{(12,1),(15,1),(34,1),(37,1),(90,1)}
        23:{1,4,5,6}:{(14,1),(33,1),(39,1)}
        24:{2,4,5,6}:{(15,1),(34,1),(40,1)}
        25:{1,2,3,5,6}:{(13,1),(16,1),(41,1),(42,1),(70,1),(71,1),(72,1),(75,1),(95,1),(96,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(42,1),(43,1),(44,1),(75,1)}
        27:{3,4,6}:{(14,1),(18,1),(39,1),(42,1),(43,1)}
        28:{3,4,6}:{(15,1),(19,1),(40,1),(42,1),(44,1)}
        29:{1,2,4,7}:{(16,1),(41,1),(45,1),(89,1),(90,1),(103,1)}
        30:{3,5,7}:{(17,1),(42,1),(45,1),(72,1),(101,1),(102,1)}
        31:{2,4,5,7}:{(18,1),(43,1),(47,1),(65,1),(90,1),(93,1)}
        32:{1,4,5,7}:{(19,1),(44,1),(46,1),(66,1),(89,1),(92,1)}
        33:{1,4,5,7}:{(21,1),(23,1),(49,1)}
        34:{2,4,5,7}:{(22,1),(24,1),(50,1)}
        35:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(26,1),(48,1),(51,1),(52,1),(53,1),(80,1),(97,1)}
        36:{3,4,6,7}:{(21,1),(27,1),(49,1),(51,1),(52,1),(77,1)}
        37:{3,4,6,7}:{(22,1),(28,1),(50,1),(51,1),(53,1),(77,1)}
        38:{1,2,4,5,6}:{(23,1),(24,1),(26,1),(48,1),(54,1),(55,1),(56,1),(57,1),(82,1),(83,1),(84,1)}
        39:{3,5,6}:{(23,1),(27,1),(49,1),(55,1)}
        40:{3,5,6}:{(24,1),(28,1),(50,1),(56,1)}
        41:{1,2,4,6}:{(25,1),(29,1),(57,1),(58,1),(82,1),(83,1)}
        42:{3,6}:{(26,1),(30,1)}
        43:{2,4,6}:{(27,1),(31,1),(55,1),(60,1)}
        44:{1,4,6}:{(28,1),(32,1),(56,1),(59,1)}
        45:{3,4,7}:{(29,1),(30,1),(58,1),(104,1)}
        46:{1,3,5,7}:{(30,1),(32,1),(59,1),(61,1),(63,1),(85,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(60,1),(62,1),(63,1),(86,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(38,1),(64,1),(65,1),(66,1),(89,1),(90,1),(91,1)}
        49:{3,5,7}:{(33,1),(36,1),(39,1),(65,1)}
        50:{3,5,7}:{(34,1),(37,1),(40,1),(66,1)}
        51:{3,6,7}:{(35,1),(42,1),(64,1),(101,1)}
        52:{2,4,6,7}:{(36,1),(43,1),(65,1),(68,1),(90,1)}
        53:{1,4,6,7}:{(37,1),(44,1),(66,1),(67,1),(89,1)}
        54:{3,5,6}:{(38,1),(42,1),(64,1),(69,1),(72,1)}
        55:{2,5,6}:{(39,1),(43,1),(65,1)}
        56:{1,5,6}:{(40,1),(44,1),(66,1)}
        57:{1,2,4,5}:{(41,1),(72,1),(92,1),(93,1),(95,1)}
        58:{3,4,6}:{(41,1),(42,1),(45,1),(72,1)}
        59:{1,3,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{2,3,6}:{(42,1),(43,1),(47,1),(75,1)}
        61:{1,3,4,7}:{(45,1),(46,1),(73,1),(76,1),(89,1),(101,1)}
        62:{2,3,4,7}:{(45,1),(47,1),(74,1),(76,1),(90,1),(101,1)}
        63:{1,2,5,7}:{(46,1),(47,1),(75,1),(76,1),(95,1)}
        64:{3,5,7}:{(48,1),(51,1),(54,1),(77,1)}
        65:{2,5,7}:{(49,1),(52,1),(55,1)}
        66:{1,5,7}:{(50,1),(53,1),(56,1)}
        67:{1,3,6,7}:{(51,1),(53,1),(59,1),(78,1),(80,1)}
        68:{2,3,6,7}:{(51,1),(52,1),(60,1),(79,1),(80,1)}
        69:{3,4,6}:{(54,1),(77,1),(81,1),(82,1),(83,1),(99,1)}
        70:{1,3,5,6}:{(54,1),(56,1),(59,1),(78,1),(82,1),(84,1),(85,1),(99,1)}
        71:{2,3,5,6}:{(54,1),(55,1),(60,1),(79,1),(83,1),(84,1),(86,1),(99,1)}
        72:{3,5}:{(57,1),(58,1)}
        73:{1,3,4,6}:{(58,1),(59,1),(61,1),(82,1),(85,1),(87,1),(99,1),(104,1)}
        74:{2,3,4,6}:{(58,1),(60,1),(62,1),(83,1),(86,1),(87,1),(99,1),(104,1)}
        75:{1,2,6}:{(59,1),(60,1),(63,1)}
        76:{1,2,4,7}:{(61,1),(62,1),(63,1),(87,1),(88,1)}
        77:{3,4,7}:{(64,1),(69,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(66,1),(67,1),(70,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(68,1),(71,1),(90,1),(91,1),(101,1)}
        80:{1,2,6,7}:{(67,1),(68,1),(75,1),(91,1)}
        81:{3,4,5}:{(69,1),(72,1),(92,1),(93,1),(102,1)}
        82:{1,4,6}:{(69,1),(70,1),(89,1),(92,1)}
        83:{2,4,6}:{(69,1),(71,1),(90,1),(93,1)}
        84:{1,2,5,6}:{(70,1),(71,1),(75,1),(91,1),(94,1),(95,1)}
        85:{1,3,5}:{(72,1),(73,1),(92,1),(95,1),(102,1)}
        86:{2,3,5}:{(72,1),(74,1),(93,1),(95,1),(102,1)}
        87:{1,2,4,6}:{(73,1),(74,1),(75,1),(76,1),(95,1),(96,1),(103,1)}
        88:{1,2,3,7}:{(76,1),(96,1),(101,1)}
        89:{1,4,7}:{(77,1),(78,1),(82,1)}
        90:{2,4,7}:{(77,1),(79,1),(83,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(80,1),(84,1),(97,1)}
        92:{1,4,5}:{(81,1),(82,1),(85,1)}
        93:{2,4,5}:{(81,1),(83,1),(86,1)}
        94:{1,2,4,6}:{(82,1),(83,1),(84,1),(97,1),(98,1),(99,1)}
        95:{1,2,5}:{(85,1),(86,1),(87,1)}
        96:{1,2,3,6}:{(87,1),(88,1),(99,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(94,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
        99:{3,6}:{(94,1),(101,1),(102,1)}
       100:{1,2,3,5}:{(95,1),(96,1),(102,1),(103,1)}
       101:{3,7}:{(97,1),(99,1)}
       102:{3,5}:{(98,1),(99,1),(104,1)}
       103:{1,2,4}:{(100,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1066 :  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:{3,4,5}:{(2,1),(7,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
        6:{1,2,3,7}:{(3,1),(9,1)}
        7:{3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,5,6}:{(5,1),(10,1),(12,1)}
        9:{1,2,4,7}:{(5,1),(6,1),(11,1),(12,1)}
       10:{3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{3,4,7}:{(7,1),(9,1),(14,1)}
       12:{1,2,5,7}:{(8,1),(9,1),(14,1),(15,1)}
       13:{4,5,6}:{(10,1),(16,1)}
       14:{3,5,7}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
       15:{1,2,6,7}:{(12,1),(17,1)}
       16:{4,5,7}:{(13,1),(14,1),(18,1)}
       17:{3,6,7}:{(14,1),(15,1),(18,1)}
       18:{4,6,7}:{(16,1),(17,1),(19,1)}
       19:{5,6,7}:{(18,1)}

1067 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(70,1),(71,1),(78,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(14,1),(35,1),(36,1),(41,1),(44,1),(46,1),(78,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(24,1),(82,1),(83,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(52,1),(53,1),(62,1),(64,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(49,1),(50,1)}
         5:{3,4,6,7}:{(2,1),(11,1),(15,1),(37,1),(41,1)}
         6:{1,2,5,7}:{(2,1),(11,1),(12,1),(94,1),(95,1)}
         7:{1,2,4,5}:{(4,1),(14,1),(39,1),(40,1),(44,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(15,1),(67,1),(68,1)}
         9:{3,4,6}:{(4,1),(14,1),(15,1),(41,1)}
        10:{1,2,4,5,6}:{(7,1),(19,1),(20,1),(24,1),(49,1),(50,1),(54,1),(55,1),(87,1),(88,1)}
        11:{3,5,7}:{(5,1),(6,1),(21,1),(22,1)}
        12:{1,2,5,6}:{(6,1),(21,1),(24,1),(87,1),(88,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(22,1),(24,1),(25,1),(57,1),(58,1),(62,1)}
        14:{3,5}:{(7,1),(9,1)}
        15:{3,4,7}:{(8,1),(9,1),(25,1)}
        16:{1,3,4,6}:{(9,1),(26,1),(28,1),(30,1),(49,1),(60,1),(85,1),(91,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(29,1),(30,1),(50,1),(61,1),(85,1),(91,1),(105,1)}
        18:{1,2,5,6,7}:{(12,1),(31,1),(33,1),(94,1),(95,1)}
        19:{1,2,4,5,7}:{(10,1),(33,1),(34,1),(65,1),(67,1),(68,1),(72,1),(94,1),(95,1)}
        20:{3,5,6}:{(10,1),(14,1),(32,1),(34,1),(41,1)}
        21:{3,5,6}:{(11,1),(12,1),(37,1),(41,1)}
        22:{4,5,7}:{(11,1),(37,1)}
        23:{3,4,5}:{(14,1),(32,1),(39,1),(40,1),(77,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(37,1),(41,1),(74,1),(75,1),(78,1)}
        25:{3,5,7}:{(13,1),(14,1),(15,1),(41,1)}
        26:{1,3,5}:{(14,1),(16,1),(39,1),(44,1),(77,1),(109,1)}
        27:{2,3,5}:{(14,1),(17,1),(40,1),(44,1),(77,1),(109,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(42,1),(45,1),(67,1),(97,1),(100,1)}
        29:{2,3,4,7}:{(15,1),(17,1),(43,1),(45,1),(68,1),(97,1),(100,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(44,1),(45,1),(46,1),(78,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(47,1),(51,1),(81,1)}
        32:{3,4,6}:{(20,1),(23,1),(48,1),(49,1),(50,1),(85,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(24,1),(47,1),(51,1),(82,1),(83,1),(86,1)}
        34:{3,5,7}:{(19,1),(20,1),(48,1),(51,1)}
        35:{1,3,5,6}:{(20,1),(26,1),(49,1),(52,1),(54,1),(60,1),(85,1),(87,1),(104,1)}
        36:{2,3,5,6}:{(20,1),(27,1),(50,1),(53,1),(54,1),(61,1),(85,1),(88,1),(104,1)}
        37:{4,6}:{(21,1),(22,1)}
        38:{3,4,5,7}:{(22,1),(23,1),(25,1),(48,1),(56,1),(57,1),(58,1),(81,1),(90,1),(110,1),(111,1)}
        39:{1,4,5}:{(23,1),(26,1),(49,1),(111,1)}
        40:{2,4,5}:{(23,1),(27,1),(50,1),(111,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(28,1),(57,1),(60,1),(62,1),(90,1)}
        43:{2,3,5,7}:{(25,1),(27,1),(29,1),(58,1),(61,1),(62,1),(90,1)}
        44:{1,2,5}:{(26,1),(27,1),(30,1)}
        45:{1,2,4,7}:{(28,1),(29,1),(30,1),(62,1),(64,1)}
        46:{1,2,3,6}:{(30,1),(63,1),(64,1),(85,1)}
        47:{4,6,7}:{(31,1),(37,1),(65,1)}
        48:{3,4,7}:{(32,1),(34,1),(67,1),(68,1),(97,1)}
        49:{1,4,6}:{(32,1),(35,1),(39,1),(67,1),(108,1)}
        50:{2,4,6}:{(32,1),(36,1),(40,1),(68,1),(108,1)}
        51:{3,6,7}:{(33,1),(34,1),(41,1)}
        52:{1,3,5,7}:{(34,1),(35,1),(67,1),(70,1),(72,1),(94,1),(97,1),(107,1)}
        53:{2,3,5,7}:{(34,1),(36,1),(68,1),(71,1),(72,1),(95,1),(97,1),(107,1)}
        54:{1,2,5,6}:{(35,1),(36,1),(44,1),(69,1),(72,1),(78,1)}
        55:{4,5,6}:{(37,1),(65,1),(73,1),(108,1)}
        56:{3,4,6}:{(37,1),(38,1),(41,1),(73,1),(74,1),(75,1),(99,1),(108,1)}
        57:{1,4,5,7}:{(38,1),(39,1),(42,1),(67,1),(74,1),(94,1)}
        58:{2,4,5,7}:{(38,1),(40,1),(43,1),(68,1),(75,1),(95,1)}
        59:{1,2,4,5}:{(39,1),(40,1),(44,1),(69,1),(77,1),(80,1)}
        60:{1,3,6}:{(41,1),(42,1),(74,1),(78,1),(99,1)}
        61:{2,3,6}:{(41,1),(43,1),(75,1),(78,1),(99,1)}
        62:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(78,1)}
        63:{1,2,3,5}:{(44,1),(46,1),(77,1),(80,1)}
        64:{1,2,3,7}:{(45,1),(46,1),(97,1)}
        65:{4,5,7}:{(47,1),(55,1),(81,1),(110,1)}
        66:{3,4,6,7}:{(47,1),(48,1),(51,1),(56,1),(81,1),(82,1),(83,1),(103,1),(110,1)}
        67:{1,4,7}:{(48,1),(49,1),(52,1),(110,1)}
        68:{2,4,7}:{(48,1),(50,1),(53,1),(110,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(54,1),(59,1),(84,1),(85,1)}
        70:{1,3,6,7}:{(51,1),(52,1),(60,1),(82,1),(86,1),(103,1)}
        71:{2,3,6,7}:{(51,1),(53,1),(61,1),(83,1),(86,1),(103,1)}
        72:{1,2,5,7}:{(52,1),(53,1),(54,1),(84,1),(86,1)}
        73:{3,5,6}:{(55,1),(56,1),(81,1),(87,1),(88,1)}
        74:{1,4,6}:{(56,1),(57,1),(60,1),(87,1)}
        75:{2,4,6}:{(56,1),(58,1),(61,1),(88,1)}
        76:{1,2,4,5,7}:{(57,1),(58,1),(59,1),(62,1),(84,1),(89,1),(90,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        77:{3,5}:{(59,1),(85,1),(91,1)}
        78:{1,2,6}:{(60,1),(61,1),(62,1)}
        79:{1,2,3,5,7}:{(62,1),(63,1),(64,1),(90,1),(92,1),(93,1),(106,1)}
        80:{1,2,4}:{(63,1),(91,1)}
        81:{3,5,7}:{(65,1),(66,1),(73,1),(94,1),(95,1)}
        82:{1,4,6,7}:{(66,1),(67,1),(70,1),(74,1),(94,1)}
        83:{2,4,6,7}:{(66,1),(68,1),(71,1),(75,1),(95,1)}
        84:{1,2,4,7}:{(67,1),(68,1),(69,1),(72,1),(97,1)}
        85:{3,6}:{(69,1),(77,1),(97,1)}
        86:{1,2,6,7}:{(70,1),(71,1),(72,1),(78,1)}
        87:{1,5,6}:{(73,1),(74,1),(94,1)}
        88:{2,5,6}:{(73,1),(75,1),(95,1)}
        89:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(98,1),(99,1),(108,1)}
        90:{3,5,7}:{(76,1),(77,1),(97,1),(99,1),(100,1),(109,1)}
        91:{3,4}:{(77,1),(80,1)}
        92:{1,2,3,6}:{(78,1),(79,1),(99,1),(101,1)}
        93:{1,2,4,7}:{(79,1),(80,1),(100,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(87,1)}
        95:{2,5,7}:{(81,1),(83,1),(88,1)}
        96:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(86,1),(89,1),(102,1),(103,1),(110,1)}
        97:{3,7}:{(84,1),(85,1)}
        98:{1,2,5,6}:{(87,1),(88,1),(89,1),(102,1),(104,1),(106,1)}
        99:{3,6}:{(89,1),(90,1)}
       100:{3,4,7}:{(90,1),(91,1),(93,1),(105,1),(110,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(98,1),(107,1)}
       103:{3,6,7}:{(96,1),(97,1),(99,1),(107,1)}
       104:{3,5,6}:{(98,1),(99,1),(107,1),(108,1),(109,1)}
       105:{3,4,6}:{(99,1),(100,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(104,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1068 :   0:{1,3,5,6,7}:{(2,1),(3,1),(11,1),(13,1),(36,1),(40,1),(86,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(11,1),(17,1),(37,1),(48,1),(80,1)}
         2:{1,2,5,6,7}:{(0,1),(1,1),(5,1),(27,1),(31,1),(58,1),(61,1),(67,1)}
         3:{1,4,6,7}:{(0,1),(6,1),(7,1),(56,1),(59,1),(105,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(9,1),(57,1),(66,1),(100,1)}
         5:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(10,1),(11,1),(15,1),(18,1),(38,1),(77,1),(79,1),(85,1)}
         6:{1,4,5,7}:{(3,1),(12,1),(13,1),(122,1)}
         7:{3,4,6,7}:{(3,1),(11,1),(13,1),(15,1),(35,1),(39,1),(121,1)}
         8:{2,4,5,7}:{(4,1),(16,1),(17,1),(118,1)}
         9:{3,4,6,7}:{(4,1),(11,1),(17,1),(18,1),(35,1),(46,1),(117,1)}
        10:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(20,1),(21,1),(27,1),(31,1),(56,1),(57,1),(58,1)}
        11:{3,6,7}:{(5,1),(21,1),(97,1),(99,1),(104,1)}
        12:{1,4,5,6}:{(6,1),(24,1),(59,1)}
        13:{3,5,7}:{(6,1),(7,1),(24,1),(27,1),(132,1)}
        14:{1,3,4,6,7}:{(7,1),(22,1),(26,1),(28,1),(56,1),(59,1),(92,1),(97,1),(99,1),(102,1),(129,1)}
        15:{2,4,6,7}:{(7,1),(23,1),(27,1),(57,1),(60,1),(131,1)}
        16:{2,4,5,6}:{(8,1),(29,1),(66,1)}
        17:{3,5,7}:{(8,1),(9,1),(29,1),(31,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(22,1),(31,1),(56,1),(65,1),(129,1)}
        19:{2,3,4,6,7}:{(9,1),(23,1),(32,1),(33,1),(57,1),(66,1),(93,1),(97,1),(104,1),(107,1),(131,1)}
        20:{1,2,4,5,6}:{(10,1),(12,1),(16,1),(34,1),(41,1),(47,1),(72,1),(73,1),(74,1),(79,1),(85,1),(110,1),(118,1),(122,1),(136,1),(137,1)}
        21:{3,5,7}:{(10,1),(11,1),(34,1),(35,1)}
        22:{1,3,6,7}:{(11,1),(18,1),(36,1),(38,1),(84,1),(116,1)}
        23:{2,3,6,7}:{(11,1),(15,1),(37,1),(38,1),(78,1),(120,1)}
        24:{3,5,6}:{(12,1),(13,1),(39,1),(41,1)}
        25:{3,4,5,7}:{(13,1),(35,1),(39,1),(42,1),(43,1),(71,1),(82,1)}
        26:{1,3,5,7}:{(13,1),(14,1),(40,1),(42,1),(44,1),(82,1),(108,1),(136,1)}
        27:{2,5,7}:{(13,1),(15,1),(41,1),(137,1)}
        28:{1,2,4,6,7}:{(14,1),(15,1),(38,1),(44,1),(45,1),(77,1),(79,1),(83,1),(111,1)}
        29:{3,5,6}:{(16,1),(17,1),(46,1),(47,1)}
        30:{3,4,5,7}:{(17,1),(35,1),(46,1),(49,1),(50,1),(71,1),(88,1)}
        31:{1,5,7}:{(17,1),(18,1),(47,1),(136,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(48,1),(50,1),(51,1),(88,1),(109,1),(137,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(38,1),(51,1),(52,1),(77,1),(85,1),(89,1),(112,1)}
        34:{3,5,6}:{(20,1),(21,1),(53,1),(99,1),(104,1),(126,1),(130,1),(132,1)}
        35:{3,4,7}:{(21,1),(53,1),(56,1),(57,1),(97,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(31,1),(54,1),(56,1),(58,1),(97,1)}
        37:{2,3,5,7}:{(21,1),(23,1),(27,1),(55,1),(57,1),(58,1),(97,1)}
        38:{1,2,6,7}:{(22,1),(23,1),(58,1),(98,1),(103,1)}
        39:{3,4,6}:{(24,1),(25,1),(59,1),(60,1),(99,1)}
        40:{1,3,5,6}:{(24,1),(26,1),(59,1),(61,1),(99,1)}
        41:{2,5,6}:{(24,1),(27,1),(60,1)}
        42:{1,4,5,7}:{(25,1),(26,1),(56,1),(59,1),(90,1)}
        43:{2,4,5,7}:{(25,1),(27,1),(57,1),(60,1),(62,1),(91,1)}
        44:{1,2,5,7}:{(26,1),(27,1),(28,1),(61,1),(64,1),(124,1)}
        45:{2,3,6,7}:{(28,1),(64,1),(97,1),(99,1),(127,1)}
        46:{3,4,6}:{(29,1),(30,1),(65,1),(66,1),(104,1)}
        47:{1,5,6}:{(29,1),(31,1),(65,1)}
        48:{2,3,5,6}:{(29,1),(32,1),(66,1),(67,1),(104,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(56,1),(65,1),(68,1),(90,1)}
        50:{2,4,5,7}:{(30,1),(32,1),(57,1),(66,1),(91,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(67,1),(70,1),(125,1)}
        52:{1,3,6,7}:{(33,1),(70,1),(97,1),(104,1),(128,1)}
        53:{3,4,6}:{(34,1),(35,1),(71,1),(72,1),(73,1),(113,1),(135,1)}
        54:{1,3,5,6}:{(34,1),(36,1),(47,1),(72,1),(74,1),(84,1),(108,1),(113,1),(116,1),(134,1),(136,1)}
        55:{2,3,5,6}:{(34,1),(37,1),(41,1),(73,1),(74,1),(78,1),(109,1),(113,1),(120,1),(133,1),(137,1)}
        56:{1,4,7}:{(35,1),(36,1),(72,1)}
        57:{2,4,7}:{(35,1),(37,1),(73,1)}
        58:{1,2,5,7}:{(36,1),(37,1),(38,1),(74,1),(77,1)}
        59:{1,4,6}:{(39,1),(40,1),(42,1)}
        60:{2,4,6}:{(39,1),(41,1),(43,1),(78,1)}
        61:{1,2,5,6}:{(40,1),(41,1),(44,1),(79,1),(80,1),(136,1)}
        62:{2,3,5,7}:{(43,1),(76,1),(78,1),(81,1),(82,1),(109,1)}
        63:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(77,1),(79,1),(81,1),(82,1),(83,1),(110,1),(118,1),(119,1),(136,1)}
        64:{2,3,5,7}:{(44,1),(45,1),(80,1),(82,1),(83,1),(133,1)}
        65:{1,4,6}:{(46,1),(47,1),(49,1),(84,1)}
        66:{2,4,6}:{(46,1),(48,1),(50,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(51,1),(85,1),(86,1),(137,1)}
        68:{1,3,5,7}:{(49,1),(75,1),(84,1),(87,1),(88,1),(108,1)}
        69:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(77,1),(85,1),(87,1),(88,1),(89,1),(110,1),(122,1),(123,1),(137,1)}
        70:{1,3,5,7}:{(51,1),(52,1),(86,1),(88,1),(89,1),(134,1)}
        71:{3,4,5}:{(53,1),(90,1),(91,1),(126,1),(130,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(56,1),(90,1),(139,1)}
        73:{2,4,6}:{(53,1),(55,1),(57,1),(91,1),(138,1)}
        74:{1,2,5,6}:{(54,1),(55,1),(58,1),(94,1),(98,1),(103,1),(124,1),(125,1)}
        75:{1,3,4,7}:{(56,1),(68,1),(92,1),(95,1),(97,1),(107,1)}
        76:{2,3,4,7}:{(57,1),(62,1),(93,1),(96,1),(97,1),(102,1)}
        77:{1,2,4,7}:{(56,1),(57,1),(58,1),(94,1),(97,1)}
        78:{2,3,6}:{(60,1),(62,1),(98,1),(99,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(63,1),(98,1),(99,1),(100,1),(129,1)}
        80:{2,3,5,6}:{(61,1),(64,1),(99,1),(100,1),(130,1)}
        81:{1,2,5,7}:{(62,1),(96,1),(98,1),(101,1),(125,1)}
        82:{3,5,7}:{(63,1),(97,1),(99,1),(102,1),(126,1),(130,1)}
        83:{2,4,7}:{(64,1),(100,1),(102,1),(138,1)}
        84:{1,3,6}:{(65,1),(68,1),(103,1),(104,1)}
        85:{1,2,4,6}:{(65,1),(66,1),(67,1),(69,1),(103,1),(104,1),(105,1),(131,1)}
        86:{1,3,5,6}:{(67,1),(70,1),(104,1),(105,1),(132,1)}
        87:{1,2,5,7}:{(68,1),(95,1),(103,1),(106,1),(124,1)}
        88:{3,5,7}:{(69,1),(97,1),(104,1),(107,1),(126,1),(132,1)}
        89:{1,4,7}:{(70,1),(105,1),(107,1),(139,1)}
        90:{1,4,5}:{(71,1),(72,1),(108,1),(136,1)}
        91:{2,4,5}:{(71,1),(73,1),(109,1),(137,1)}
        92:{1,3,4,6}:{(72,1),(75,1),(84,1),(108,1),(111,1),(113,1),(121,1),(135,1)}
        93:{2,3,4,6}:{(73,1),(76,1),(78,1),(109,1),(112,1),(113,1),(117,1),(135,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(77,1),(110,1),(113,1)}
        95:{1,2,4,7}:{(75,1),(87,1),(111,1),(114,1),(123,1)}
        96:{1,2,4,7}:{(76,1),(81,1),(112,1),(115,1),(119,1)}
        97:{3,7}:{(77,1),(113,1)}
        98:{1,2,6}:{(78,1),(81,1),(116,1)}
        99:{3,6}:{(79,1),(82,1)}
       100:{2,4,6}:{(80,1),(83,1),(117,1),(118,1)}
       101:{1,3,5,7}:{(81,1),(82,1),(115,1),(116,1),(119,1),(134,1),(136,1)}
       102:{3,4,7}:{(82,1),(83,1),(117,1),(119,1),(135,1)}
       103:{1,2,6}:{(84,1),(87,1),(120,1)}
       104:{3,6}:{(85,1),(88,1)}
       105:{1,4,6}:{(86,1),(89,1),(121,1),(122,1)}
       106:{2,3,5,7}:{(87,1),(88,1),(114,1),(120,1),(123,1),(133,1),(137,1)}
       107:{3,4,7}:{(88,1),(89,1),(121,1),(123,1),(135,1)}
       108:{1,3,5}:{(90,1),(92,1),(124,1),(126,1),(132,1)}
       109:{2,3,5}:{(91,1),(93,1),(125,1),(126,1),(130,1)}
       110:{1,2,4,5}:{(90,1),(91,1),(94,1),(124,1),(125,1),(126,1),(138,1),(139,1)}
       111:{1,2,4,6}:{(92,1),(95,1),(103,1),(124,1),(127,1),(131,1),(138,1)}
       112:{1,2,4,6}:{(93,1),(96,1),(98,1),(125,1),(128,1),(129,1),(139,1)}
       113:{3,6}:{(94,1),(97,1),(126,1)}
       114:{2,3,7}:{(95,1),(97,1),(127,1)}
       115:{1,3,7}:{(96,1),(97,1),(128,1)}
       116:{1,3,6}:{(98,1),(99,1),(101,1),(129,1)}
       117:{3,4,6}:{(99,1),(100,1),(102,1),(129,1),(130,1)}
       118:{2,4,5}:{(100,1),(130,1)}
       119:{1,4,7}:{(101,1),(102,1),(129,1),(139,1)}
       120:{2,3,6}:{(103,1),(104,1),(106,1),(131,1)}
       121:{3,4,6}:{(104,1),(105,1),(107,1),(131,1),(132,1)}
       122:{1,4,5}:{(105,1),(132,1)}
       123:{2,4,7}:{(106,1),(107,1),(131,1),(138,1)}
       124:{1,2,5}:{(108,1),(111,1),(133,1),(137,1)}
       125:{1,2,5}:{(109,1),(112,1),(134,1),(136,1)}
       126:{3,5}:{(110,1),(113,1),(135,1)}
       127:{2,3,6}:{(111,1),(113,1),(114,1),(133,1)}
       128:{1,3,6}:{(112,1),(113,1),(115,1),(134,1)}
       129:{1,4,6}:{(116,1),(117,1),(119,1),(136,1)}
       130:{3,5}:{(117,1),(118,1),(136,1)}
       131:{2,4,6}:{(120,1),(121,1),(123,1),(137,1)}
       132:{3,5}:{(121,1),(122,1),(137,1)}
       133:{2,3,5}:{(124,1),(126,1),(127,1),(138,1)}
       134:{1,3,5}:{(125,1),(126,1),(128,1),(139,1)}
       135:{3,4}:{(126,1),(138,1),(139,1)}
       136:{1,5}:{(129,1),(130,1)}
       137:{2,5}:{(131,1),(132,1)}
       138:{2,4}:{(133,1),(135,1)}
       139:{1,4}:{(134,1),(135,1)}

1069 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(30,1),(31,1),(34,1),(37,1),(38,1),(39,1),(76,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(42,1),(43,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(25,1),(50,1),(51,1),(55,1),(59,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(27,1),(28,1),(34,1)}
         4:{3,4,6}:{(1,1),(8,1),(12,1),(37,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(12,1),(62,1),(63,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(37,1),(71,1),(72,1),(76,1)}
         7:{1,2,4,5,6}:{(3,1),(15,1),(16,1),(20,1),(42,1),(43,1),(49,1),(86,1),(87,1),(88,1)}
         8:{3,5}:{(3,1),(4,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(19,1),(20,1),(25,1),(46,1),(47,1),(55,1),(60,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(21,1),(22,1),(42,1),(56,1),(78,1),(83,1),(104,1)}
        11:{2,3,4,6}:{(4,1),(18,1),(21,1),(23,1),(43,1),(57,1),(78,1),(83,1),(104,1)}
        12:{3,4,7}:{(4,1),(5,1),(19,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(24,1),(25,1),(80,1),(81,1)}
        14:{3,4,5}:{(8,1),(26,1),(27,1),(28,1),(65,1)}
        15:{3,5,6}:{(7,1),(8,1),(26,1),(32,1),(37,1)}
        16:{1,2,4,5,7}:{(7,1),(32,1),(33,1),(62,1),(63,1),(70,1),(95,1),(96,1),(97,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(34,1),(65,1),(108,1)}
        18:{2,3,5}:{(8,1),(11,1),(28,1),(34,1),(65,1),(108,1)}
        19:{3,5,7}:{(8,1),(9,1),(12,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(37,1),(38,1),(67,1),(68,1),(76,1),(77,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(34,1),(39,1),(40,1),(74,1),(76,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(35,1),(40,1),(62,1),(93,1),(98,1)}
        23:{2,3,4,7}:{(11,1),(12,1),(36,1),(40,1),(63,1),(93,1),(98,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(41,1),(77,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(41,1),(95,1),(96,1)}
        26:{3,4,6}:{(14,1),(15,1),(42,1),(43,1),(44,1),(78,1)}
        27:{1,4,5}:{(14,1),(17,1),(42,1),(111,1)}
        28:{2,4,5}:{(14,1),(18,1),(43,1),(111,1)}
        29:{3,4,5,7}:{(14,1),(19,1),(44,1),(46,1),(47,1),(48,1),(60,1),(82,1),(84,1),(110,1),(111,1)}
        30:{1,3,5,6}:{(15,1),(17,1),(42,1),(49,1),(50,1),(56,1),(78,1),(86,1),(105,1)}
        31:{2,3,5,6}:{(15,1),(18,1),(43,1),(49,1),(51,1),(57,1),(78,1),(87,1),(105,1)}
        32:{3,5,7}:{(15,1),(16,1),(44,1),(52,1)}
        33:{1,2,4,6,7}:{(16,1),(20,1),(52,1),(53,1),(80,1),(81,1),(89,1),(90,1)}
        34:{1,2,5}:{(17,1),(18,1),(21,1)}
        35:{1,3,5,7}:{(17,1),(19,1),(22,1),(46,1),(55,1),(56,1),(84,1)}
        36:{2,3,5,7}:{(18,1),(19,1),(23,1),(47,1),(55,1),(57,1),(84,1)}
        37:{3,6}:{(19,1),(20,1)}
        38:{1,2,5,6}:{(20,1),(25,1),(58,1),(86,1),(87,1)}
        39:{1,2,3,6}:{(21,1),(54,1),(59,1),(78,1)}
        40:{1,2,4,7}:{(21,1),(22,1),(23,1),(55,1),(59,1)}
        41:{3,5,7}:{(24,1),(25,1),(58,1),(60,1)}
        42:{1,4,6}:{(26,1),(27,1),(30,1),(62,1),(109,1)}
        43:{2,4,6}:{(26,1),(28,1),(31,1),(63,1),(109,1)}
        44:{3,4,7}:{(26,1),(32,1),(62,1),(63,1),(93,1)}
        45:{1,2,4,5}:{(27,1),(28,1),(34,1),(61,1),(65,1),(74,1)}
        46:{1,4,5,7}:{(27,1),(29,1),(35,1),(62,1),(67,1),(95,1)}
        47:{2,4,5,7}:{(28,1),(29,1),(36,1),(63,1),(68,1),(96,1)}
        48:{3,4,6}:{(29,1),(37,1),(67,1),(68,1),(69,1),(77,1),(99,1),(109,1)}
        49:{1,2,5,6}:{(30,1),(31,1),(34,1),(61,1),(70,1),(76,1)}
        50:{1,3,5,7}:{(30,1),(32,1),(62,1),(70,1),(71,1),(93,1),(95,1),(107,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(63,1),(70,1),(72,1),(93,1),(96,1),(107,1)}
        52:{3,6,7}:{(32,1),(33,1),(37,1)}
        53:{1,2,5,6,7}:{(33,1),(38,1),(73,1),(95,1),(96,1)}
        54:{1,2,3,5}:{(34,1),(39,1),(65,1),(74,1)}
        55:{1,2,5,7}:{(34,1),(35,1),(36,1),(40,1),(76,1)}
        56:{1,3,6}:{(35,1),(37,1),(67,1),(76,1),(99,1)}
        57:{2,3,6}:{(36,1),(37,1),(68,1),(76,1),(99,1)}
        58:{3,5,6}:{(37,1),(38,1),(41,1),(77,1)}
        59:{1,2,3,7}:{(39,1),(40,1),(93,1)}
        60:{4,5,7}:{(41,1),(77,1)}
        61:{1,2,4,6}:{(42,1),(43,1),(45,1),(49,1),(78,1),(79,1)}
        62:{1,4,7}:{(42,1),(44,1),(50,1),(110,1)}
        63:{2,4,7}:{(43,1),(44,1),(51,1),(110,1)}
        64:{3,4,6,7}:{(44,1),(48,1),(52,1),(80,1),(81,1),(82,1),(90,1),(102,1),(110,1)}
        65:{3,5}:{(45,1),(78,1),(83,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(55,1),(79,1),(84,1),(85,1),(91,1),(103,1),(106,1),(110,1),(111,1)}
        67:{1,4,6}:{(46,1),(48,1),(56,1),(86,1)}
        68:{2,4,6}:{(47,1),(48,1),(57,1),(87,1)}
        69:{3,5,6}:{(48,1),(82,1),(86,1),(87,1),(88,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(89,1)}
        71:{1,3,6,7}:{(50,1),(52,1),(56,1),(80,1),(89,1),(102,1)}
        72:{2,3,6,7}:{(51,1),(52,1),(57,1),(81,1),(89,1),(102,1)}
        73:{3,5,6,7}:{(52,1),(53,1),(58,1),(82,1),(90,1)}
        74:{1,2,4}:{(54,1),(83,1)}
        75:{1,2,3,5,7}:{(54,1),(55,1),(59,1),(84,1),(91,1),(92,1),(106,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{4,6}:{(58,1),(60,1)}
        78:{3,6}:{(61,1),(65,1),(93,1)}
        79:{1,2,4,7}:{(61,1),(62,1),(63,1),(70,1),(93,1)}
        80:{1,4,6,7}:{(62,1),(64,1),(67,1),(71,1),(95,1)}
        81:{2,4,6,7}:{(63,1),(64,1),(68,1),(72,1),(96,1)}
        82:{3,5,7}:{(64,1),(69,1),(95,1),(96,1),(97,1)}
        83:{3,4}:{(65,1),(74,1)}
        84:{3,5,7}:{(65,1),(66,1),(93,1),(98,1),(99,1),(108,1)}
        85:{1,2,4,6}:{(66,1),(67,1),(68,1),(76,1),(99,1),(100,1),(109,1)}
        86:{1,5,6}:{(67,1),(69,1),(95,1)}
        87:{2,5,6}:{(68,1),(69,1),(96,1)}
        88:{4,5,6}:{(69,1),(77,1),(97,1),(109,1)}
        89:{1,2,6,7}:{(70,1),(71,1),(72,1),(76,1)}
        90:{4,6,7}:{(73,1),(77,1),(97,1)}
        91:{1,2,4,7}:{(74,1),(75,1),(98,1),(101,1)}
        92:{1,2,3,6}:{(75,1),(76,1),(99,1),(101,1)}
        93:{3,7}:{(78,1),(79,1)}
        94:{1,2,4,6,7}:{(79,1),(80,1),(81,1),(85,1),(89,1),(102,1),(103,1),(110,1)}
        95:{1,5,7}:{(80,1),(82,1),(86,1)}
        96:{2,5,7}:{(81,1),(82,1),(87,1)}
        97:{4,5,7}:{(82,1),(88,1),(90,1),(110,1)}
        98:{3,4,7}:{(83,1),(84,1),(91,1),(104,1),(110,1)}
        99:{3,6}:{(84,1),(85,1)}
       100:{1,2,5,6}:{(85,1),(86,1),(87,1),(103,1),(105,1),(106,1)}
       101:{1,2,4,6}:{(91,1),(92,1),(104,1),(106,1)}
       102:{3,6,7}:{(93,1),(94,1),(99,1),(107,1)}
       103:{1,2,5,7}:{(94,1),(95,1),(96,1),(100,1),(107,1)}
       104:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       105:{3,5,6}:{(99,1),(100,1),(107,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(108,1)}
       107:{3,5,7}:{(102,1),(103,1),(105,1),(110,1)}
       108:{3,5}:{(104,1),(106,1),(111,1)}
       109:{4,6}:{(105,1),(110,1),(111,1)}
       110:{4,7}:{(107,1),(109,1)}
       111:{4,5}:{(108,1),(109,1)}

1070 :   0:{1,2,3,6,7}:{(3,1),(4,1),(41,1),(74,1),(75,1),(79,1),(83,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(41,1),(46,1),(49,1),(75,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(45,1),(53,1),(74,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(7,1),(9,1),(25,1),(65,1),(68,1),(71,1),(89,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(26,1),(61,1),(66,1),(87,1),(88,1),(94,1)}
         5:{2,3,5,7}:{(1,1),(7,1),(10,1),(11,1),(26,1),(64,1),(67,1)}
         6:{1,3,5,7}:{(2,1),(7,1),(12,1),(13,1),(26,1),(63,1),(70,1)}
         7:{1,2,5,7}:{(3,1),(5,1),(6,1),(14,1),(82,1),(84,1),(85,1)}
         8:{1,2,3,5,6}:{(4,1),(14,1),(16,1),(41,1),(44,1),(77,1),(78,1),(79,1),(82,1),(83,1)}
         9:{1,2,4,7}:{(4,1),(16,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(14,1),(19,1),(41,1),(50,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(81,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(14,1),(22,1),(41,1),(54,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(80,1),(95,1)}
        14:{1,2,5,6}:{(7,1),(10,1),(12,1),(25,1),(69,1),(72,1)}
        15:{1,2,4,5,7}:{(7,1),(9,1),(11,1),(13,1),(25,1),(26,1),(27,1),(34,1),(38,1),(61,1),(93,1),(101,1)}
        16:{1,2,4,6}:{(8,1),(9,1),(27,1),(28,1),(90,1),(91,1)}
        17:{3,4,7}:{(9,1),(26,1),(28,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(24,1),(31,1),(57,1),(67,1),(88,1)}
        19:{2,4,6}:{(10,1),(11,1),(33,1)}
        20:{3,4,5,7}:{(11,1),(26,1),(33,1),(34,1),(62,1),(67,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(24,1),(35,1),(57,1),(70,1),(87,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(26,1),(37,1),(38,1),(62,1),(70,1),(86,1)}
        24:{1,2,5,6,7}:{(14,1),(18,1),(21,1),(39,1),(84,1),(85,1),(97,1)}
        25:{1,2,4,6}:{(14,1),(15,1),(19,1),(22,1),(41,1),(51,1),(55,1),(79,1)}
        26:{3,5,7}:{(15,1),(17,1),(41,1),(44,1),(99,1),(104,1)}
        27:{1,2,4,5}:{(16,1),(44,1),(80,1),(81,1),(82,1)}
        28:{3,4,6}:{(16,1),(17,1),(41,1),(44,1)}
        29:{1,3,4,7}:{(17,1),(42,1),(45,1),(47,1),(95,1),(104,1)}
        30:{2,3,4,7}:{(17,1),(43,1),(46,1),(47,1),(96,1),(104,1)}
        31:{2,4,6,7}:{(18,1),(19,1),(48,1),(49,1),(96,1)}
        32:{2,4,5,6}:{(19,1),(48,1),(50,1)}
        33:{3,4,6}:{(19,1),(20,1),(41,1),(50,1),(51,1)}
        34:{1,4,5,7}:{(20,1),(42,1),(51,1),(80,1),(84,1),(95,1)}
        35:{1,4,6,7}:{(21,1),(22,1),(52,1),(53,1),(95,1)}
        36:{1,4,5,6}:{(22,1),(52,1),(54,1)}
        37:{3,4,6}:{(22,1),(23,1),(41,1),(54,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(43,1),(55,1),(81,1),(85,1),(96,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(31,1),(35,1),(56,1),(57,1),(68,1),(71,1),(89,1),(101,1)}
        40:{1,2,4,5,6}:{(25,1),(27,1),(32,1),(36,1),(56,1),(58,1),(69,1),(72,1),(90,1),(91,1),(92,1)}
        41:{3,6}:{(25,1),(26,1)}
        42:{1,3,5,7}:{(26,1),(29,1),(34,1),(59,1),(61,1),(63,1)}
        43:{2,3,5,7}:{(26,1),(30,1),(38,1),(60,1),(61,1),(64,1)}
        44:{3,5}:{(27,1),(28,1)}
        45:{1,3,4,6}:{(28,1),(29,1),(59,1),(63,1),(65,1),(90,1),(102,1),(103,1)}
        46:{2,3,4,6}:{(28,1),(30,1),(60,1),(64,1),(65,1),(91,1),(102,1),(103,1)}
        47:{1,2,4,7}:{(29,1),(30,1),(61,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(31,1),(32,1),(67,1)}
        49:{3,4,6,7}:{(31,1),(33,1),(57,1),(67,1),(68,1),(86,1)}
        50:{3,5,6}:{(32,1),(33,1),(67,1),(69,1)}
        51:{1,4,6}:{(33,1),(34,1),(59,1),(69,1)}
        52:{1,4,5,7}:{(35,1),(36,1),(70,1)}
        53:{3,4,6,7}:{(35,1),(37,1),(57,1),(70,1),(71,1),(86,1)}
        54:{3,5,6}:{(36,1),(37,1),(70,1),(72,1)}
        55:{2,4,6}:{(37,1),(38,1),(60,1),(72,1)}
        56:{1,2,4,5,7}:{(39,1),(40,1),(48,1),(52,1),(73,1),(84,1),(85,1),(95,1),(96,1),(97,1)}
        57:{3,6,7}:{(39,1),(41,1),(73,1),(104,1)}
        58:{3,5,6}:{(40,1),(41,1),(44,1),(73,1),(76,1)}
        59:{1,3,6}:{(41,1),(42,1),(51,1),(79,1)}
        60:{2,3,6}:{(41,1),(43,1),(55,1),(79,1)}
        61:{1,2,5,7}:{(42,1),(43,1),(47,1),(79,1),(82,1)}
        62:{3,4,5}:{(44,1),(76,1),(80,1),(81,1),(99,1)}
        63:{1,3,5}:{(44,1),(45,1),(80,1),(82,1),(99,1)}
        64:{2,3,5}:{(44,1),(46,1),(81,1),(82,1),(99,1)}
        65:{1,2,4,6}:{(45,1),(46,1),(47,1),(79,1),(82,1),(83,1),(100,1)}
        66:{1,2,3,7}:{(47,1),(83,1),(104,1)}
        67:{3,5,7}:{(48,1),(49,1),(50,1),(84,1)}
        68:{1,4,6,7}:{(49,1),(51,1),(74,1),(84,1),(95,1)}
        69:{1,5,6}:{(50,1),(51,1),(84,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{2,4,6,7}:{(53,1),(55,1),(75,1),(85,1),(96,1)}
        72:{2,5,6}:{(54,1),(55,1),(85,1)}
        73:{3,5,7}:{(56,1),(57,1),(58,1),(86,1)}
        74:{1,3,6,7}:{(57,1),(59,1),(68,1),(87,1),(89,1)}
        75:{2,3,6,7}:{(57,1),(60,1),(71,1),(88,1),(89,1)}
        76:{3,4,6}:{(58,1),(62,1),(86,1),(90,1),(91,1),(102,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(69,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(64,1),(72,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,6}:{(59,1),(60,1),(61,1)}
        80:{1,4,5}:{(62,1),(63,1),(90,1)}
        81:{2,4,5}:{(62,1),(64,1),(91,1)}
        82:{1,2,5}:{(63,1),(64,1),(65,1)}
        83:{1,2,3,6}:{(65,1),(66,1),(94,1),(102,1)}
        84:{1,5,7}:{(67,1),(68,1),(69,1)}
        85:{2,5,7}:{(70,1),(71,1),(72,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,3,5,7}:{(73,1),(74,1),(77,1),(84,1),(95,1),(97,1),(104,1)}
        88:{2,3,5,7}:{(73,1),(75,1),(78,1),(85,1),(96,1),(97,1),(104,1)}
        89:{1,2,6,7}:{(74,1),(75,1),(79,1),(97,1)}
        90:{1,4,6}:{(76,1),(77,1),(80,1),(95,1)}
        91:{2,4,6}:{(76,1),(78,1),(81,1),(96,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(82,1),(97,1),(98,1)}
        93:{1,2,4,5}:{(80,1),(81,1),(82,1),(98,1),(99,1),(100,1)}
        94:{1,2,3,5}:{(82,1),(83,1),(99,1),(100,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,5,7}:{(87,1),(88,1),(89,1),(92,1),(101,1)}
        98:{1,2,4,6}:{(90,1),(91,1),(92,1),(93,1),(101,1),(102,1)}
        99:{3,5}:{(93,1),(102,1),(103,1)}
       100:{1,2,4}:{(94,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       102:{3,6}:{(98,1),(99,1),(104,1)}
       103:{3,4}:{(99,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1071 :   0:{1,2,3,6}:{(3,1),(4,1),(5,1),(68,1),(122,1)}
         1:{2,3,4,6}:{(5,1),(6,1),(7,1),(20,1),(28,1),(29,1),(66,1),(68,1)}
         2:{1,3,4,6}:{(5,1),(8,1),(9,1),(20,1),(33,1),(34,1),(66,1),(68,1)}
         3:{1,2,3,5}:{(0,1),(11,1),(13,1),(36,1),(40,1),(91,1)}
         4:{1,2,3,7}:{(0,1),(12,1),(100,1),(150,1),(188,1)}
         5:{1,2,4,6}:{(0,1),(1,1),(2,1),(11,1),(12,1),(13,1),(44,1)}
         6:{2,3,4,7}:{(1,1),(12,1),(15,1),(39,1),(51,1),(100,1),(189,1)}
         7:{2,3,5}:{(1,1),(13,1),(14,1),(40,1),(98,1)}
         8:{1,3,4,7}:{(2,1),(12,1),(18,1),(39,1),(58,1),(100,1),(190,1)}
         9:{1,3,5}:{(2,1),(13,1),(17,1),(40,1),(98,1)}
        10:{1,2,3,5,7}:{(3,1),(4,1),(21,1),(22,1),(24,1),(60,1),(67,1),(69,1),(119,1),(121,1)}
        11:{1,2,4}:{(3,1),(20,1)}
        12:{1,2,4,7}:{(4,1),(5,1),(6,1),(8,1),(24,1),(206,1)}
        13:{1,2,5}:{(5,1),(7,1),(9,1)}
        14:{2,4,5}:{(7,1),(26,1),(28,1),(129,1)}
        15:{2,3,5,7}:{(6,1),(7,1),(24,1),(27,1),(29,1),(67,1),(207,1),(228,1)}
        16:{2,3,5,6}:{(7,1),(25,1),(28,1),(29,1),(30,1),(68,1),(73,1),(79,1),(130,1)}
        17:{1,4,5}:{(9,1),(31,1),(33,1),(129,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(24,1),(32,1),(34,1),(67,1),(208,1),(229,1)}
        19:{1,3,5,6}:{(9,1),(25,1),(33,1),(34,1),(35,1),(68,1),(81,1),(87,1),(130,1)}
        20:{3,4}:{(11,1),(40,1)}
        21:{1,2,3,6}:{(10,1),(41,1),(44,1),(99,1),(149,1)}
        22:{1,2,4,7}:{(10,1),(11,1),(39,1),(41,1),(147,1)}
        23:{1,2,4,5}:{(11,1),(13,1),(14,1),(17,1),(40,1),(43,1),(47,1),(54,1),(91,1)}
        24:{1,2,5,7}:{(12,1),(13,1),(15,1),(18,1),(44,1),(219,1),(230,1)}
        25:{1,2,5,6}:{(13,1),(16,1),(19,1),(43,1),(44,1),(45,1),(103,1),(111,1)}
        26:{3,4,5}:{(14,1),(40,1),(47,1),(49,1)}
        27:{2,4,5,7}:{(14,1),(15,1),(48,1),(50,1),(51,1),(110,1),(197,1),(224,1)}
        28:{2,4,6}:{(14,1),(16,1),(49,1),(51,1),(157,1)}
        29:{2,3,6}:{(15,1),(44,1),(50,1),(99,1)}
        30:{2,3,5,7}:{(16,1),(45,1),(51,1),(52,1),(100,1),(104,1),(110,1),(158,1)}
        31:{3,4,5}:{(17,1),(40,1),(54,1),(56,1)}
        32:{1,4,5,7}:{(17,1),(18,1),(55,1),(57,1),(58,1),(118,1),(194,1),(223,1)}
        33:{1,4,6}:{(17,1),(19,1),(56,1),(58,1),(157,1)}
        34:{1,3,6}:{(18,1),(44,1),(57,1),(99,1)}
        35:{1,3,5,7}:{(19,1),(45,1),(58,1),(59,1),(100,1),(112,1),(118,1),(158,1)}
        36:{1,2,3}:{(61,1)}
        37:{2,3,4}:{(20,1),(61,1),(63,1)}
        38:{1,3,4}:{(20,1),(61,1),(65,1)}
        39:{3,4,7}:{(20,1),(22,1),(66,1),(67,1),(169,1),(179,1)}
        40:{3,5}:{(20,1),(23,1),(68,1)}
        41:{1,2,4,6}:{(21,1),(22,1),(66,1),(69,1)}
        42:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(27,1),(32,1),(67,1),(69,1),(70,1),(71,1),(75,1),(83,1),(121,1),(129,1),(132,1),(170,1),(179,1),(210,1)}
        43:{1,2,4,6}:{(23,1),(25,1),(28,1),(33,1),(68,1),(71,1),(76,1),(84,1),(122,1)}
        44:{1,2,6}:{(24,1),(29,1),(34,1)}
        45:{1,2,5,7}:{(25,1),(30,1),(35,1),(71,1),(72,1),(133,1),(140,1)}
        46:{2,4,5,6}:{(28,1),(73,1),(74,1),(79,1),(138,1)}
        47:{1,4,5}:{(26,1),(65,1),(76,1)}
        48:{3,4,5,7}:{(26,1),(27,1),(67,1),(75,1),(77,1),(78,1),(129,1),(139,1),(176,1),(179,1),(214,1)}
        49:{3,4,6}:{(26,1),(28,1),(68,1),(73,1),(76,1),(78,1)}
        50:{2,4,6}:{(27,1),(29,1),(77,1),(79,1)}
        51:{2,4,7}:{(28,1),(30,1),(78,1),(179,1)}
        52:{2,3,6,7}:{(29,1),(30,1),(72,1),(80,1),(131,1),(134,1),(228,1)}
        53:{1,4,5,6}:{(33,1),(81,1),(82,1),(87,1),(145,1)}
        54:{2,4,5}:{(31,1),(63,1),(84,1)}
        55:{3,4,5,7}:{(31,1),(32,1),(67,1),(83,1),(85,1),(86,1),(129,1),(146,1),(173,1),(179,1),(212,1)}
        56:{3,4,6}:{(31,1),(33,1),(68,1),(81,1),(84,1),(86,1)}
        57:{1,4,6}:{(32,1),(34,1),(85,1),(87,1)}
        58:{1,4,7}:{(33,1),(35,1),(86,1),(179,1)}
        59:{1,3,6,7}:{(34,1),(35,1),(72,1),(88,1),(131,1),(141,1),(229,1)}
        60:{1,2,3,7}:{(36,1),(89,1),(90,1),(222,1),(230,1)}
        61:{1,2,4}:{(36,1),(37,1),(38,1),(91,1)}
        62:{2,3,4,7}:{(37,1),(39,1),(90,1),(92,1),(93,1),(196,1),(222,1)}
        63:{2,3,5}:{(37,1),(40,1),(54,1),(91,1),(94,1)}
        64:{1,3,4,7}:{(38,1),(39,1),(90,1),(95,1),(96,1),(199,1),(222,1)}
        65:{1,3,5}:{(38,1),(40,1),(47,1),(91,1),(97,1)}
        66:{3,4,6}:{(39,1),(41,1),(98,1),(99,1),(157,1)}
        67:{3,5,7}:{(39,1),(40,1),(42,1),(98,1),(99,1),(100,1),(191,1),(222,1)}
        68:{3,6}:{(40,1),(43,1),(100,1)}
        69:{1,2,5}:{(41,1),(98,1)}
        70:{1,2,4,6}:{(42,1),(44,1),(50,1),(57,1),(99,1),(101,1),(106,1),(114,1),(149,1),(157,1)}
        71:{1,2,4,7}:{(43,1),(45,1),(51,1),(58,1),(100,1),(107,1),(115,1),(150,1)}
        72:{1,2,6,7}:{(44,1),(45,1),(52,1),(59,1),(159,1),(164,1),(230,1)}
        73:{3,5,6}:{(46,1),(49,1),(103,1),(104,1)}
        74:{2,4,5,7}:{(46,1),(51,1),(104,1),(105,1),(110,1),(163,1)}
        75:{1,4,5,7}:{(47,1),(48,1),(96,1),(106,1),(107,1),(154,1),(162,1),(199,1)}
        76:{1,4,6}:{(47,1),(49,1),(97,1),(103,1),(107,1)}
        77:{3,4,6}:{(48,1),(50,1),(99,1),(106,1),(108,1),(157,1)}
        78:{3,4,7}:{(49,1),(51,1),(100,1),(104,1),(107,1)}
        79:{2,5,6}:{(50,1),(108,1),(110,1)}
        80:{2,4,6,7}:{(50,1),(51,1),(52,1),(109,1),(110,1),(224,1),(225,1)}
        81:{3,5,6}:{(53,1),(56,1),(111,1),(112,1)}
        82:{1,4,5,7}:{(53,1),(58,1),(112,1),(113,1),(118,1),(168,1)}
        83:{2,4,5,7}:{(54,1),(55,1),(93,1),(114,1),(115,1),(151,1),(167,1),(196,1)}
        84:{2,4,6}:{(54,1),(56,1),(94,1),(111,1),(115,1)}
        85:{3,4,6}:{(55,1),(57,1),(99,1),(114,1),(116,1),(157,1)}
        86:{3,4,7}:{(56,1),(58,1),(100,1),(112,1),(115,1)}
        87:{1,5,6}:{(57,1),(116,1),(118,1)}
        88:{1,4,6,7}:{(57,1),(58,1),(59,1),(117,1),(118,1),(223,1),(226,1)}
        89:{1,2,3,6}:{(60,1),(119,1),(120,1),(209,1),(227,1)}
        90:{1,2,4,7}:{(60,1),(61,1),(62,1),(64,1),(120,1),(121,1)}
        91:{1,2,5}:{(61,1),(63,1),(65,1),(122,1)}
        92:{2,3,4,6}:{(62,1),(66,1),(120,1),(123,1),(124,1),(169,1),(174,1),(209,1)}
        93:{2,3,5,7}:{(62,1),(63,1),(67,1),(83,1),(121,1),(123,1),(124,1),(125,1)}
        94:{2,3,6}:{(63,1),(68,1),(84,1),(122,1),(125,1)}
        95:{1,3,4,6}:{(64,1),(66,1),(120,1),(126,1),(127,1),(169,1),(177,1),(209,1)}
        96:{1,3,5,7}:{(64,1),(65,1),(67,1),(75,1),(121,1),(126,1),(127,1),(128,1)}
        97:{1,3,6}:{(65,1),(68,1),(76,1),(122,1),(128,1)}
        98:{3,5}:{(66,1),(69,1),(129,1)}
        99:{3,6}:{(67,1),(70,1)}
       100:{3,7}:{(68,1),(71,1)}
       101:{1,2,5,6}:{(69,1),(70,1),(79,1),(87,1),(130,1),(132,1),(136,1),(143,1)}
       102:{1,2,4,6,7}:{(70,1),(71,1),(72,1),(80,1),(88,1),(131,1),(132,1),(137,1),(144,1),(172,1),(179,1),(210,1)}
       103:{1,5,6}:{(73,1),(76,1),(133,1)}
       104:{3,5,7}:{(73,1),(74,1),(78,1),(133,1),(134,1)}
       105:{2,4,6,7}:{(74,1),(134,1),(135,1),(181,1)}
       106:{1,4,6}:{(75,1),(77,1),(127,1),(136,1)}
       107:{1,4,7}:{(76,1),(78,1),(128,1),(133,1)}
       108:{3,5,6}:{(77,1),(79,1),(136,1),(138,1),(139,1)}
       109:{3,4,6,7}:{(77,1),(78,1),(80,1),(131,1),(134,1),(137,1),(139,1),(179,1),(181,1),(214,1),(215,1)}
       110:{2,5,7}:{(79,1),(80,1),(139,1)}
       111:{2,5,6}:{(81,1),(84,1),(140,1)}
       112:{3,5,7}:{(81,1),(82,1),(86,1),(140,1),(141,1)}
       113:{1,4,6,7}:{(82,1),(141,1),(142,1),(185,1)}
       114:{2,4,6}:{(83,1),(85,1),(124,1),(143,1)}
       115:{2,4,7}:{(84,1),(86,1),(125,1),(140,1)}
       116:{3,5,6}:{(85,1),(87,1),(143,1),(145,1),(146,1)}
       117:{3,4,6,7}:{(85,1),(86,1),(88,1),(131,1),(141,1),(144,1),(146,1),(179,1),(185,1),(212,1),(217,1)}
       118:{1,5,7}:{(87,1),(88,1),(146,1)}
       119:{1,2,3,5}:{(89,1),(147,1),(148,1),(188,1),(191,1),(219,1)}
       120:{1,2,4,6}:{(89,1),(90,1),(92,1),(95,1),(147,1),(148,1),(149,1)}
       121:{1,2,5,7}:{(90,1),(91,1),(93,1),(96,1),(148,1),(149,1),(150,1)}
       122:{1,2,6}:{(91,1),(94,1),(97,1),(150,1)}
       123:{2,3,5}:{(92,1),(98,1),(148,1),(151,1),(191,1)}
       124:{2,3,6}:{(93,1),(99,1),(114,1),(149,1)}
       125:{2,3,7}:{(94,1),(100,1),(115,1),(150,1)}
       126:{1,3,5}:{(95,1),(98,1),(148,1),(154,1),(191,1)}
       127:{1,3,6}:{(96,1),(99,1),(106,1),(149,1)}
       128:{1,3,7}:{(97,1),(100,1),(107,1),(150,1)}
       129:{4,5}:{(98,1),(157,1)}
       130:{3,5,6}:{(98,1),(99,1),(101,1),(157,1),(158,1)}
       131:{3,6,7}:{(99,1),(100,1),(102,1),(158,1),(222,1)}
       132:{1,2,5,7}:{(101,1),(102,1),(110,1),(118,1),(158,1),(162,1),(167,1)}
       133:{1,5,7}:{(103,1),(104,1),(107,1),(159,1)}
       134:{3,6,7}:{(104,1),(105,1),(159,1)}
       135:{2,5,6,7}:{(105,1),(110,1),(160,1),(225,1)}
       136:{1,5,6}:{(106,1),(108,1),(162,1)}
       137:{1,4,6,7}:{(106,1),(107,1),(109,1),(156,1),(159,1),(162,1),(199,1)}
       138:{4,5,6}:{(108,1),(157,1),(163,1)}
       139:{3,5,7}:{(108,1),(109,1),(110,1),(162,1),(163,1)}
       140:{2,5,7}:{(111,1),(112,1),(115,1),(164,1)}
       141:{3,6,7}:{(112,1),(113,1),(164,1)}
       142:{1,5,6,7}:{(113,1),(118,1),(165,1),(226,1)}
       143:{2,5,6}:{(114,1),(116,1),(167,1)}
       144:{2,4,6,7}:{(114,1),(115,1),(117,1),(153,1),(164,1),(167,1),(196,1)}
       145:{4,5,6}:{(116,1),(157,1),(168,1)}
       146:{3,5,7}:{(116,1),(117,1),(118,1),(167,1),(168,1)}
       147:{1,2,4}:{(119,1),(169,1)}
       148:{1,2,5}:{(120,1),(123,1),(126,1)}
       149:{1,2,6}:{(121,1),(124,1),(127,1)}
       150:{1,2,7}:{(122,1),(125,1),(128,1)}
       151:{2,4,5}:{(123,1),(129,1),(173,1),(174,1)}
       152:{2,3,5,6}:{(123,1),(124,1),(130,1),(143,1),(171,1),(174,1),(175,1),(186,1),(209,1)}
       153:{2,3,6,7}:{(124,1),(125,1),(131,1),(144,1),(172,1),(175,1),(217,1)}
       154:{1,4,5}:{(126,1),(129,1),(176,1),(177,1)}
       155:{1,3,5,6}:{(126,1),(127,1),(130,1),(136,1),(171,1),(177,1),(178,1),(182,1),(209,1)}
       156:{1,3,6,7}:{(127,1),(128,1),(131,1),(137,1),(172,1),(178,1),(215,1)}
       157:{4,6}:{(129,1),(130,1),(179,1)}
       158:{3,5,7}:{(130,1),(131,1),(132,1),(179,1)}
       159:{1,6,7}:{(133,1),(134,1)}
       160:{3,5,6,7}:{(134,1),(135,1),(139,1),(180,1),(181,1),(215,1)}
       161:{1,4,5,6}:{(136,1),(138,1),(177,1),(182,1),(183,1)}
       162:{1,5,7}:{(136,1),(137,1),(139,1)}
       163:{4,5,7}:{(138,1),(139,1),(179,1),(181,1)}
       164:{2,6,7}:{(140,1),(141,1)}
       165:{3,5,6,7}:{(141,1),(142,1),(146,1),(184,1),(185,1),(217,1)}
       166:{2,4,5,6}:{(143,1),(145,1),(174,1),(186,1),(187,1)}
       167:{2,5,7}:{(143,1),(144,1),(146,1)}
       168:{4,5,7}:{(145,1),(146,1),(179,1),(185,1)}
       169:{3,4}:{(147,1),(191,1)}
       170:{1,2,4,5}:{(147,1),(148,1),(151,1),(154,1),(191,1),(192,1),(194,1),(197,1),(219,1)}
       171:{1,2,5,6}:{(148,1),(149,1),(152,1),(155,1),(192,1),(193,1),(201,1),(204,1)}
       172:{1,2,6,7}:{(149,1),(150,1),(153,1),(156,1),(193,1),(225,1),(226,1)}
       173:{3,4,5}:{(151,1),(191,1),(194,1),(195,1)}
       174:{2,4,6}:{(151,1),(152,1),(157,1),(195,1),(196,1)}
       175:{2,3,5,7}:{(152,1),(153,1),(158,1),(167,1),(193,1),(196,1),(205,1),(222,1)}
       176:{3,4,5}:{(154,1),(191,1),(197,1),(198,1)}
       177:{1,4,6}:{(154,1),(155,1),(157,1),(198,1),(199,1)}
       178:{1,3,5,7}:{(155,1),(156,1),(158,1),(162,1),(193,1),(199,1),(202,1),(222,1)}
       179:{4,7}:{(157,1),(158,1)}
       180:{1,5,6,7}:{(159,1),(160,1),(162,1),(200,1)}
       181:{4,6,7}:{(160,1),(163,1)}
       182:{3,5,6}:{(161,1),(198,1),(201,1),(202,1)}
       183:{1,4,5,7}:{(161,1),(162,1),(163,1),(199,1),(200,1),(202,1)}
       184:{2,5,6,7}:{(164,1),(165,1),(167,1),(203,1)}
       185:{4,6,7}:{(165,1),(168,1)}
       186:{3,5,6}:{(166,1),(195,1),(204,1),(205,1)}
       187:{2,4,5,7}:{(166,1),(167,1),(168,1),(196,1),(203,1),(205,1)}
       188:{1,2,3}:{(206,1)}
       189:{2,3,4}:{(169,1),(206,1),(207,1)}
       190:{1,3,4}:{(169,1),(206,1),(208,1)}
       191:{3,5}:{(169,1),(170,1),(209,1)}
       192:{1,2,4,6}:{(170,1),(171,1),(174,1),(177,1),(209,1),(210,1),(211,1),(213,1),(227,1)}
       193:{1,2,5,7}:{(171,1),(172,1),(175,1),(178,1),(210,1),(216,1),(218,1)}
       194:{1,4,5}:{(173,1),(208,1),(211,1)}
       195:{3,4,6}:{(173,1),(174,1),(186,1),(209,1),(211,1),(212,1)}
       196:{2,4,7}:{(174,1),(175,1),(179,1),(212,1)}
       197:{2,4,5}:{(176,1),(207,1),(213,1)}
       198:{3,4,6}:{(176,1),(177,1),(182,1),(209,1),(213,1),(214,1)}
       199:{1,4,7}:{(177,1),(178,1),(179,1),(214,1)}
       200:{1,4,6,7}:{(180,1),(181,1),(183,1),(215,1)}
       201:{2,5,6}:{(182,1),(213,1),(216,1)}
       202:{3,5,7}:{(182,1),(183,1),(214,1),(215,1),(216,1)}
       203:{2,4,6,7}:{(184,1),(185,1),(187,1),(217,1)}
       204:{1,5,6}:{(186,1),(211,1),(218,1)}
       205:{3,5,7}:{(186,1),(187,1),(212,1),(217,1),(218,1)}
       206:{1,2,4}:{(188,1),(189,1),(190,1),(219,1)}
       207:{2,3,5}:{(189,1),(191,1),(197,1),(219,1),(220,1)}
       208:{1,3,5}:{(190,1),(191,1),(194,1),(219,1),(221,1)}
       209:{3,6}:{(191,1),(192,1),(222,1)}
       210:{1,2,4,7}:{(192,1),(193,1),(196,1),(199,1),(222,1),(223,1),(224,1),(230,1)}
       211:{1,4,6}:{(194,1),(195,1),(204,1),(221,1),(223,1)}
       212:{3,4,7}:{(195,1),(196,1),(205,1),(222,1),(223,1)}
       213:{2,4,6}:{(197,1),(198,1),(201,1),(220,1),(224,1)}
       214:{3,4,7}:{(198,1),(199,1),(202,1),(222,1),(224,1)}
       215:{3,6,7}:{(200,1),(202,1),(225,1)}
       216:{2,5,7}:{(201,1),(202,1),(224,1),(225,1)}
       217:{3,6,7}:{(203,1),(205,1),(226,1)}
       218:{1,5,7}:{(204,1),(205,1),(223,1),(226,1)}
       219:{1,2,5}:{(206,1),(207,1),(208,1),(227,1)}
       220:{2,3,6}:{(207,1),(209,1),(213,1),(227,1),(228,1)}
       221:{1,3,6}:{(208,1),(209,1),(211,1),(227,1),(229,1)}
       222:{3,7}:{(209,1),(210,1)}
       223:{1,4,7}:{(211,1),(212,1),(218,1),(229,1)}
       224:{2,4,7}:{(213,1),(214,1),(216,1),(228,1)}
       225:{2,6,7}:{(215,1),(216,1)}
       226:{1,6,7}:{(217,1),(218,1)}
       227:{1,2,6}:{(219,1),(220,1),(221,1),(230,1)}
       228:{2,3,7}:{(220,1),(222,1),(224,1),(230,1)}
       229:{1,3,7}:{(221,1),(222,1),(223,1),(230,1)}
       230:{1,2,7}:{(227,1),(228,1),(229,1)}

1072 :   0:{1,2,3,7}:{(4,1),(5,1),(142,1),(185,1),(197,1)}
         1:{2,3,4,7}:{(5,1),(6,1),(7,1),(21,1),(85,1),(142,1),(186,1)}
         2:{1,3,4,7}:{(5,1),(8,1),(9,1),(21,1),(93,1),(142,1),(187,1)}
         3:{1,2,3,5,7}:{(0,1),(10,1),(11,1),(12,1),(14,1),(37,1),(41,1),(42,1),(94,1),(96,1)}
         4:{1,2,3,6}:{(0,1),(12,1),(13,1),(108,1),(170,1)}
         5:{1,2,4,7}:{(0,1),(1,1),(2,1),(13,1),(14,1),(206,1)}
         6:{2,3,4,6}:{(1,1),(13,1),(16,1),(17,1),(40,1),(44,1),(53,1),(108,1)}
         7:{2,3,5,7}:{(1,1),(14,1),(15,1),(16,1),(17,1),(41,1),(207,1),(228,1)}
         8:{1,3,4,6}:{(2,1),(13,1),(19,1),(20,1),(40,1),(44,1),(60,1),(108,1)}
         9:{1,3,5,7}:{(2,1),(14,1),(18,1),(19,1),(20,1),(41,1),(208,1),(229,1)}
        10:{1,2,3,6}:{(3,1),(22,1),(26,1),(69,1),(130,1)}
        11:{1,2,4,7}:{(3,1),(21,1),(22,1),(24,1),(128,1)}
        12:{1,2,3,5}:{(4,1),(24,1),(25,1),(72,1),(75,1),(139,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(6,1),(8,1),(24,1),(25,1),(26,1)}
        14:{1,2,5,7}:{(5,1),(7,1),(9,1),(25,1),(26,1),(219,1),(230,1)}
        15:{2,4,5,7}:{(7,1),(27,1),(28,1),(29,1),(82,1),(85,1),(194,1),(224,1)}
        16:{2,3,5}:{(6,1),(25,1),(29,1),(68,1),(75,1)}
        17:{2,3,6}:{(7,1),(26,1),(28,1),(69,1)}
        18:{1,4,5,7}:{(9,1),(32,1),(33,1),(34,1),(90,1),(93,1),(191,1),(223,1)}
        19:{1,3,5}:{(8,1),(25,1),(34,1),(68,1),(75,1)}
        20:{1,3,6}:{(9,1),(26,1),(33,1),(69,1)}
        21:{3,4,7}:{(11,1),(40,1),(41,1),(44,1),(159,1),(169,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(40,1),(42,1)}
        23:{1,2,4,5,7}:{(11,1),(14,1),(15,1),(18,1),(41,1),(42,1),(43,1),(45,1),(48,1),(55,1),(96,1),(101,1),(104,1),(109,1),(160,1),(169,1),(210,1)}
        24:{1,2,4}:{(12,1),(44,1)}
        25:{1,2,5}:{(13,1),(16,1),(19,1)}
        26:{1,2,6}:{(14,1),(17,1),(20,1)}
        27:{3,4,5,7}:{(15,1),(41,1),(48,1),(49,1),(52,1),(101,1),(113,1),(118,1),(166,1),(169,1),(214,1)}
        28:{2,4,6}:{(15,1),(17,1),(49,1),(50,1)}
        29:{2,4,5}:{(16,1),(52,1),(53,1),(101,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(46,1),(50,1),(53,1),(54,1),(102,1),(108,1),(115,1)}
        31:{2,3,6,7}:{(17,1),(47,1),(51,1),(54,1),(103,1),(177,1),(228,1)}
        32:{3,4,5,7}:{(18,1),(41,1),(55,1),(56,1),(59,1),(101,1),(122,1),(127,1),(163,1),(169,1),(212,1)}
        33:{1,4,6}:{(18,1),(20,1),(56,1),(57,1)}
        34:{1,4,5}:{(19,1),(59,1),(60,1),(101,1)}
        35:{1,3,5,6}:{(19,1),(20,1),(46,1),(57,1),(60,1),(61,1),(102,1),(108,1),(124,1)}
        36:{1,3,6,7}:{(20,1),(47,1),(58,1),(61,1),(103,1),(183,1),(229,1)}
        37:{1,2,3,7}:{(62,1),(63,1),(72,1),(222,1),(230,1)}
        38:{2,3,4,7}:{(21,1),(63,1),(64,1),(65,1),(73,1),(193,1),(222,1)}
        39:{1,3,4,7}:{(21,1),(63,1),(66,1),(67,1),(74,1),(196,1),(222,1)}
        40:{3,4,6}:{(21,1),(22,1),(68,1),(69,1),(137,1)}
        41:{3,5,7}:{(21,1),(23,1),(68,1),(69,1),(75,1),(142,1),(188,1),(222,1)}
        42:{1,2,5}:{(22,1),(68,1)}
        43:{1,2,4,6}:{(23,1),(26,1),(28,1),(33,1),(69,1),(70,1),(78,1),(86,1),(130,1),(137,1)}
        44:{3,4}:{(24,1),(75,1)}
        45:{1,2,4,5}:{(24,1),(25,1),(29,1),(34,1),(75,1),(76,1),(83,1),(91,1),(139,1)}
        46:{1,2,5,6}:{(25,1),(26,1),(30,1),(35,1),(76,1),(77,1),(148,1),(156,1)}
        47:{1,2,6,7}:{(26,1),(31,1),(36,1),(77,1),(201,1),(205,1),(230,1)}
        48:{1,4,5,7}:{(27,1),(67,1),(78,1),(83,1),(134,1),(144,1),(150,1),(196,1)}
        49:{3,4,6}:{(27,1),(28,1),(69,1),(78,1),(79,1),(137,1)}
        50:{2,5,6}:{(28,1),(79,1),(82,1)}
        51:{2,4,6,7}:{(28,1),(31,1),(80,1),(82,1),(85,1),(224,1),(225,1)}
        52:{3,4,5}:{(29,1),(75,1),(83,1),(84,1)}
        53:{2,4,6}:{(29,1),(30,1),(84,1),(85,1),(137,1)}
        54:{2,3,5,7}:{(30,1),(31,1),(77,1),(82,1),(85,1),(138,1),(142,1),(149,1)}
        55:{2,4,5,7}:{(32,1),(65,1),(86,1),(91,1),(131,1),(152,1),(158,1),(193,1)}
        56:{3,4,6}:{(32,1),(33,1),(69,1),(86,1),(87,1),(137,1)}
        57:{1,5,6}:{(33,1),(87,1),(90,1)}
        58:{1,4,6,7}:{(33,1),(36,1),(88,1),(90,1),(93,1),(223,1),(226,1)}
        59:{3,4,5}:{(34,1),(75,1),(91,1),(92,1)}
        60:{1,4,6}:{(34,1),(35,1),(92,1),(93,1),(137,1)}
        61:{1,3,5,7}:{(35,1),(36,1),(77,1),(90,1),(93,1),(138,1),(142,1),(157,1)}
        62:{1,2,3,6}:{(37,1),(94,1),(95,1),(209,1),(227,1)}
        63:{1,2,4,7}:{(37,1),(38,1),(39,1),(95,1),(96,1),(105,1)}
        64:{2,3,4,6}:{(38,1),(40,1),(95,1),(97,1),(98,1),(159,1),(164,1),(209,1)}
        65:{2,3,5,7}:{(38,1),(41,1),(55,1),(96,1),(97,1),(98,1),(106,1),(171,1)}
        66:{1,3,4,6}:{(39,1),(40,1),(95,1),(99,1),(100,1),(159,1),(167,1),(209,1)}
        67:{1,3,5,7}:{(39,1),(41,1),(48,1),(96,1),(99,1),(100,1),(107,1),(172,1)}
        68:{3,5}:{(40,1),(42,1),(101,1)}
        69:{3,6}:{(41,1),(43,1)}
        70:{1,2,5,6}:{(42,1),(43,1),(50,1),(57,1),(102,1),(104,1),(110,1),(119,1)}
        71:{1,2,4,6,7}:{(43,1),(47,1),(51,1),(58,1),(103,1),(104,1),(109,1),(111,1),(120,1),(162,1),(169,1),(210,1)}
        72:{1,2,3}:{(105,1)}
        73:{2,3,4}:{(44,1),(105,1),(106,1)}
        74:{1,3,4}:{(44,1),(105,1),(107,1)}
        75:{3,5}:{(44,1),(45,1),(108,1)}
        76:{1,2,4,6}:{(45,1),(46,1),(53,1),(60,1),(108,1),(109,1),(117,1),(126,1),(170,1)}
        77:{1,2,5,7}:{(46,1),(47,1),(54,1),(61,1),(109,1),(178,1),(184,1)}
        78:{1,4,6}:{(48,1),(49,1),(100,1),(110,1)}
        79:{3,5,6}:{(49,1),(50,1),(110,1),(112,1),(113,1)}
        80:{3,4,6,7}:{(49,1),(51,1),(103,1),(111,1),(113,1),(118,1),(169,1),(176,1),(177,1),(214,1),(215,1)}
        81:{2,4,5,6}:{(50,1),(53,1),(112,1),(115,1),(116,1)}
        82:{2,5,7}:{(50,1),(51,1),(113,1)}
        83:{1,4,5}:{(52,1),(107,1),(117,1)}
        84:{3,4,6}:{(52,1),(53,1),(108,1),(115,1),(117,1),(118,1)}
        85:{2,4,7}:{(53,1),(54,1),(118,1),(169,1)}
        86:{2,4,6}:{(55,1),(56,1),(98,1),(119,1)}
        87:{3,5,6}:{(56,1),(57,1),(119,1),(121,1),(122,1)}
        88:{3,4,6,7}:{(56,1),(58,1),(103,1),(120,1),(122,1),(127,1),(169,1),(182,1),(183,1),(212,1),(217,1)}
        89:{1,4,5,6}:{(57,1),(60,1),(121,1),(124,1),(125,1)}
        90:{1,5,7}:{(57,1),(58,1),(122,1)}
        91:{2,4,5}:{(59,1),(106,1),(126,1)}
        92:{3,4,6}:{(59,1),(60,1),(108,1),(124,1),(126,1),(127,1)}
        93:{1,4,7}:{(60,1),(61,1),(127,1),(169,1)}
        94:{1,2,3,5}:{(62,1),(128,1),(129,1),(185,1),(188,1),(219,1)}
        95:{1,2,4,6}:{(62,1),(63,1),(64,1),(66,1),(128,1),(129,1),(130,1)}
        96:{1,2,5,7}:{(63,1),(65,1),(67,1),(129,1),(130,1),(139,1),(197,1)}
        97:{2,3,5}:{(64,1),(68,1),(129,1),(131,1),(188,1)}
        98:{2,3,6}:{(65,1),(69,1),(86,1),(130,1)}
        99:{1,3,5}:{(66,1),(68,1),(129,1),(134,1),(188,1)}
       100:{1,3,6}:{(67,1),(69,1),(78,1),(130,1)}
       101:{4,5}:{(68,1),(137,1)}
       102:{3,5,6}:{(68,1),(69,1),(70,1),(137,1),(138,1)}
       103:{3,6,7}:{(69,1),(71,1),(138,1),(142,1),(222,1)}
       104:{1,2,5,7}:{(70,1),(71,1),(82,1),(90,1),(138,1),(144,1),(152,1)}
       105:{1,2,4}:{(72,1),(73,1),(74,1),(139,1)}
       106:{2,3,5}:{(73,1),(75,1),(91,1),(139,1),(140,1)}
       107:{1,3,5}:{(74,1),(75,1),(83,1),(139,1),(141,1)}
       108:{3,6}:{(75,1),(76,1),(142,1)}
       109:{1,2,4,7}:{(76,1),(77,1),(85,1),(93,1),(142,1),(150,1),(158,1),(197,1)}
       110:{1,5,6}:{(78,1),(79,1),(144,1)}
       111:{1,4,6,7}:{(78,1),(80,1),(136,1),(144,1),(150,1),(196,1),(201,1)}
       112:{4,5,6}:{(79,1),(137,1),(146,1)}
       113:{3,5,7}:{(79,1),(80,1),(82,1),(144,1),(146,1)}
       114:{2,5,6,7}:{(82,1),(145,1),(147,1),(225,1)}
       115:{3,5,6}:{(81,1),(84,1),(148,1),(149,1)}
       116:{2,4,5,7}:{(81,1),(82,1),(85,1),(146,1),(147,1),(149,1)}
       117:{1,4,6}:{(83,1),(84,1),(141,1),(148,1),(150,1)}
       118:{3,4,7}:{(84,1),(85,1),(142,1),(149,1),(150,1)}
       119:{2,5,6}:{(86,1),(87,1),(152,1)}
       120:{2,4,6,7}:{(86,1),(88,1),(133,1),(152,1),(158,1),(193,1),(205,1)}
       121:{4,5,6}:{(87,1),(137,1),(154,1)}
       122:{3,5,7}:{(87,1),(88,1),(90,1),(152,1),(154,1)}
       123:{1,5,6,7}:{(90,1),(153,1),(155,1),(226,1)}
       124:{3,5,6}:{(89,1),(92,1),(156,1),(157,1)}
       125:{1,4,5,7}:{(89,1),(90,1),(93,1),(154,1),(155,1),(157,1)}
       126:{2,4,6}:{(91,1),(92,1),(140,1),(156,1),(158,1)}
       127:{3,4,7}:{(92,1),(93,1),(142,1),(157,1),(158,1)}
       128:{1,2,4}:{(94,1),(159,1)}
       129:{1,2,5}:{(95,1),(97,1),(99,1)}
       130:{1,2,6}:{(96,1),(98,1),(100,1)}
       131:{2,4,5}:{(97,1),(101,1),(163,1),(164,1)}
       132:{2,3,5,6}:{(97,1),(98,1),(102,1),(119,1),(161,1),(164,1),(165,1),(180,1),(209,1)}
       133:{2,3,6,7}:{(98,1),(103,1),(120,1),(162,1),(165,1),(171,1),(217,1)}
       134:{1,4,5}:{(99,1),(101,1),(166,1),(167,1)}
       135:{1,3,5,6}:{(99,1),(100,1),(102,1),(110,1),(161,1),(167,1),(168,1),(174,1),(209,1)}
       136:{1,3,6,7}:{(100,1),(103,1),(111,1),(162,1),(168,1),(172,1),(215,1)}
       137:{4,6}:{(101,1),(102,1),(169,1)}
       138:{3,5,7}:{(102,1),(103,1),(104,1),(169,1)}
       139:{1,2,5}:{(105,1),(106,1),(107,1),(170,1)}
       140:{2,3,6}:{(106,1),(108,1),(126,1),(170,1),(171,1)}
       141:{1,3,6}:{(107,1),(108,1),(117,1),(170,1),(172,1)}
       142:{3,7}:{(108,1),(109,1)}
       143:{1,4,5,6}:{(110,1),(112,1),(167,1),(174,1),(175,1)}
       144:{1,5,7}:{(110,1),(111,1),(113,1)}
       145:{3,5,6,7}:{(113,1),(114,1),(173,1),(176,1),(177,1),(215,1)}
       146:{4,5,7}:{(112,1),(113,1),(169,1),(176,1)}
       147:{2,4,6,7}:{(114,1),(116,1),(176,1),(177,1)}
       148:{1,5,6}:{(115,1),(117,1),(178,1)}
       149:{3,5,7}:{(115,1),(116,1),(118,1),(177,1),(178,1)}
       150:{1,4,7}:{(117,1),(118,1),(172,1),(178,1)}
       151:{2,4,5,6}:{(119,1),(121,1),(164,1),(180,1),(181,1)}
       152:{2,5,7}:{(119,1),(120,1),(122,1)}
       153:{3,5,6,7}:{(122,1),(123,1),(179,1),(182,1),(183,1),(217,1)}
       154:{4,5,7}:{(121,1),(122,1),(169,1),(182,1)}
       155:{1,4,6,7}:{(123,1),(125,1),(182,1),(183,1)}
       156:{2,5,6}:{(124,1),(126,1),(184,1)}
       157:{3,5,7}:{(124,1),(125,1),(127,1),(183,1),(184,1)}
       158:{2,4,7}:{(126,1),(127,1),(171,1),(184,1)}
       159:{3,4}:{(128,1),(188,1)}
       160:{1,2,4,5}:{(128,1),(129,1),(131,1),(134,1),(188,1),(189,1),(191,1),(194,1),(219,1)}
       161:{1,2,5,6}:{(129,1),(130,1),(132,1),(135,1),(189,1),(190,1),(199,1),(203,1)}
       162:{1,2,6,7}:{(130,1),(133,1),(136,1),(190,1),(197,1),(225,1),(226,1)}
       163:{3,4,5}:{(131,1),(188,1),(191,1),(192,1)}
       164:{2,4,6}:{(131,1),(132,1),(137,1),(192,1),(193,1)}
       165:{2,3,5,7}:{(132,1),(133,1),(138,1),(152,1),(190,1),(193,1),(204,1),(222,1)}
       166:{3,4,5}:{(134,1),(188,1),(194,1),(195,1)}
       167:{1,4,6}:{(134,1),(135,1),(137,1),(195,1),(196,1)}
       168:{1,3,5,7}:{(135,1),(136,1),(138,1),(144,1),(190,1),(196,1),(200,1),(222,1)}
       169:{4,7}:{(137,1),(138,1)}
       170:{1,2,6}:{(139,1),(140,1),(141,1),(197,1)}
       171:{2,3,7}:{(140,1),(142,1),(158,1),(197,1)}
       172:{1,3,7}:{(141,1),(142,1),(150,1),(197,1)}
       173:{1,5,6,7}:{(144,1),(145,1),(198,1),(201,1)}
       174:{3,5,6}:{(143,1),(195,1),(199,1),(200,1)}
       175:{1,4,5,7}:{(143,1),(144,1),(146,1),(196,1),(198,1),(200,1)}
       176:{4,6,7}:{(145,1),(146,1)}
       177:{3,6,7}:{(147,1),(149,1),(201,1)}
       178:{1,5,7}:{(148,1),(149,1),(150,1),(201,1)}
       179:{2,5,6,7}:{(152,1),(153,1),(202,1),(205,1)}
       180:{3,5,6}:{(151,1),(192,1),(203,1),(204,1)}
       181:{2,4,5,7}:{(151,1),(152,1),(154,1),(193,1),(202,1),(204,1)}
       182:{4,6,7}:{(153,1),(154,1)}
       183:{3,6,7}:{(155,1),(157,1),(205,1)}
       184:{2,5,7}:{(156,1),(157,1),(158,1),(205,1)}
       185:{1,2,3}:{(206,1)}
       186:{2,3,4}:{(159,1),(206,1),(207,1)}
       187:{1,3,4}:{(159,1),(206,1),(208,1)}
       188:{3,5}:{(159,1),(160,1),(209,1)}
       189:{1,2,4,6}:{(160,1),(161,1),(164,1),(167,1),(209,1),(210,1),(211,1),(213,1),(227,1)}
       190:{1,2,5,7}:{(161,1),(162,1),(165,1),(168,1),(210,1),(216,1),(218,1)}
       191:{1,4,5}:{(163,1),(208,1),(211,1)}
       192:{3,4,6}:{(163,1),(164,1),(180,1),(209,1),(211,1),(212,1)}
       193:{2,4,7}:{(164,1),(165,1),(169,1),(212,1)}
       194:{2,4,5}:{(166,1),(207,1),(213,1)}
       195:{3,4,6}:{(166,1),(167,1),(174,1),(209,1),(213,1),(214,1)}
       196:{1,4,7}:{(167,1),(168,1),(169,1),(214,1)}
       197:{1,2,7}:{(170,1),(171,1),(172,1)}
       198:{1,4,6,7}:{(173,1),(175,1),(176,1),(215,1)}
       199:{2,5,6}:{(174,1),(213,1),(216,1)}
       200:{3,5,7}:{(174,1),(175,1),(214,1),(215,1),(216,1)}
       201:{1,6,7}:{(177,1),(178,1)}
       202:{2,4,6,7}:{(179,1),(181,1),(182,1),(217,1)}
       203:{1,5,6}:{(180,1),(211,1),(218,1)}
       204:{3,5,7}:{(180,1),(181,1),(212,1),(217,1),(218,1)}
       205:{2,6,7}:{(183,1),(184,1)}
       206:{1,2,4}:{(185,1),(186,1),(187,1),(219,1)}
       207:{2,3,5}:{(186,1),(188,1),(194,1),(219,1),(220,1)}
       208:{1,3,5}:{(187,1),(188,1),(191,1),(219,1),(221,1)}
       209:{3,6}:{(188,1),(189,1),(222,1)}
       210:{1,2,4,7}:{(189,1),(190,1),(193,1),(196,1),(222,1),(223,1),(224,1),(230,1)}
       211:{1,4,6}:{(191,1),(192,1),(203,1),(221,1),(223,1)}
       212:{3,4,7}:{(192,1),(193,1),(204,1),(222,1),(223,1)}
       213:{2,4,6}:{(194,1),(195,1),(199,1),(220,1),(224,1)}
       214:{3,4,7}:{(195,1),(196,1),(200,1),(222,1),(224,1)}
       215:{3,6,7}:{(198,1),(200,1),(225,1)}
       216:{2,5,7}:{(199,1),(200,1),(224,1),(225,1)}
       217:{3,6,7}:{(202,1),(204,1),(226,1)}
       218:{1,5,7}:{(203,1),(204,1),(223,1),(226,1)}
       219:{1,2,5}:{(206,1),(207,1),(208,1),(227,1)}
       220:{2,3,6}:{(207,1),(209,1),(213,1),(227,1),(228,1)}
       221:{1,3,6}:{(208,1),(209,1),(211,1),(227,1),(229,1)}
       222:{3,7}:{(209,1),(210,1)}
       223:{1,4,7}:{(211,1),(212,1),(218,1),(229,1)}
       224:{2,4,7}:{(213,1),(214,1),(216,1),(228,1)}
       225:{2,6,7}:{(215,1),(216,1)}
       226:{1,6,7}:{(217,1),(218,1)}
       227:{1,2,6}:{(219,1),(220,1),(221,1),(230,1)}
       228:{2,3,7}:{(220,1),(222,1),(224,1),(230,1)}
       229:{1,3,7}:{(221,1),(222,1),(223,1),(230,1)}
       230:{1,2,7}:{(227,1),(228,1),(229,1)}

1073 :   0:{2,3,4,5}:{(2,1),(3,1),(21,1),(58,1),(101,1)}
         1:{1,3,4,5}:{(4,1),(5,1),(15,1),(48,1),(115,1)}
         2:{1,2,4,5}:{(0,1),(6,1),(7,1),(27,1),(68,1),(72,1)}
         3:{2,3,4,6}:{(0,1),(7,1),(8,1),(9,1),(74,1)}
         4:{1,2,4,5}:{(1,1),(10,1),(11,1),(27,1),(68,1),(84,1)}
         5:{1,3,4,6}:{(1,1),(11,1),(12,1),(13,1),(86,1)}
         6:{1,3,5}:{(2,1),(15,1),(16,1)}
         7:{1,2,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1),(50,1)}
         8:{2,3,5,6}:{(3,1),(17,1),(19,1),(20,1),(52,1),(58,1),(117,1)}
         9:{2,3,4,7}:{(3,1),(18,1),(20,1),(106,1)}
        10:{2,3,5}:{(4,1),(21,1),(22,1)}
        11:{1,2,4,6}:{(4,1),(5,1),(22,1),(23,1),(24,1),(60,1)}
        12:{1,3,5,6}:{(5,1),(23,1),(25,1),(26,1),(48,1),(62,1),(103,1)}
        13:{1,3,4,7}:{(5,1),(24,1),(26,1),(120,1)}
        14:{1,2,3,5}:{(6,1),(10,1),(27,1),(28,1),(68,1)}
        15:{1,3,4}:{(6,1),(27,1)}
        16:{1,3,6}:{(6,1),(7,1),(31,1)}
        17:{1,2,5,6}:{(7,1),(8,1),(30,1),(33,1),(68,1),(131,1)}
        18:{1,2,4,7}:{(7,1),(9,1),(31,1),(33,1),(75,1)}
        19:{2,4,5,6}:{(8,1),(34,1),(35,1),(84,1),(154,1)}
        20:{2,3,5,7}:{(8,1),(9,1),(33,1),(35,1),(36,1),(79,1)}
        21:{2,3,4}:{(10,1),(27,1)}
        22:{2,3,6}:{(10,1),(11,1),(39,1)}
        23:{1,2,5,6}:{(11,1),(12,1),(38,1),(41,1),(68,1),(131,1)}
        24:{1,2,4,7}:{(11,1),(13,1),(39,1),(41,1),(87,1)}
        25:{1,4,5,6}:{(12,1),(42,1),(43,1),(72,1),(139,1)}
        26:{1,3,5,7}:{(12,1),(13,1),(41,1),(43,1),(44,1),(91,1)}
        27:{1,2,4}:{(14,1),(15,1),(21,1)}
        28:{1,2,3,6}:{(14,1),(16,1),(22,1),(45,1),(47,1)}
        29:{1,3,4,6}:{(15,1),(16,1),(45,1),(48,1),(49,1),(50,1),(98,1),(103,1)}
        30:{1,3,5,6}:{(16,1),(17,1),(48,1),(50,1),(51,1),(52,1),(103,1),(178,1)}
        31:{1,3,7}:{(16,1),(18,1)}
        32:{1,2,4,5,6}:{(17,1),(19,1),(50,1),(52,1),(53,1),(55,1),(96,1),(105,1),(108,1),(169,1),(178,1),(223,1),(224,1)}
        33:{1,2,5,7}:{(17,1),(18,1),(20,1),(51,1),(54,1)}
        34:{3,4,5,6}:{(19,1),(52,1),(55,1),(56,1),(115,1),(187,1),(224,1)}
        35:{2,4,5,7}:{(19,1),(20,1),(56,1),(57,1)}
        36:{2,3,6,7}:{(20,1),(54,1),(57,1),(111,1),(117,1)}
        37:{2,3,4,6}:{(21,1),(22,1),(45,1),(58,1),(59,1),(60,1),(98,1),(117,1)}
        38:{2,3,5,6}:{(22,1),(23,1),(58,1),(60,1),(61,1),(62,1),(117,1),(188,1)}
        39:{2,3,7}:{(22,1),(24,1)}
        40:{1,2,4,5,6}:{(23,1),(25,1),(60,1),(62,1),(63,1),(65,1),(96,1),(118,1),(122,1),(169,1),(188,1),(226,1),(227,1)}
        41:{1,2,5,7}:{(23,1),(24,1),(26,1),(61,1),(64,1)}
        42:{3,4,5,6}:{(25,1),(62,1),(65,1),(66,1),(101,1),(177,1),(227,1)}
        43:{1,4,5,7}:{(25,1),(26,1),(66,1),(67,1)}
        44:{1,3,6,7}:{(26,1),(64,1),(67,1),(103,1),(125,1)}
        45:{1,2,4,6}:{(27,1),(28,1),(29,1),(37,1),(68,1),(69,1),(131,1)}
        46:{1,2,3,5,6}:{(28,1),(30,1),(38,1),(68,1),(70,1),(71,1),(78,1),(89,1),(129,1),(131,1),(195,1),(198,1),(199,1),(200,1),(229,1)}
        47:{1,2,3,7}:{(28,1),(31,1),(39,1),(69,1)}
        48:{1,3,5}:{(29,1),(68,1),(72,1),(129,1)}
        49:{1,3,4,7}:{(29,1),(31,1),(69,1),(73,1),(75,1),(134,1)}
        50:{1,4,6}:{(30,1),(72,1),(74,1),(75,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(33,1),(75,1),(76,1),(79,1),(144,1)}
        52:{3,5,6}:{(32,1),(74,1),(79,1),(129,1),(198,1)}
        53:{1,2,4,5,7}:{(32,1),(33,1),(35,1),(75,1),(79,1),(80,1),(81,1),(142,1),(144,1),(145,1),(207,1),(208,1)}
        54:{1,2,6,7}:{(33,1),(36,1),(76,1),(131,1)}
        55:{1,4,5,6}:{(34,1),(77,1),(81,1),(151,1),(210,1)}
        56:{3,4,5,7}:{(34,1),(35,1),(79,1),(81,1),(82,1),(208,1)}
        57:{2,4,6,7}:{(35,1),(36,1),(82,1),(83,1),(154,1)}
        58:{2,3,5}:{(37,1),(68,1),(84,1),(129,1)}
        59:{2,3,4,7}:{(37,1),(39,1),(69,1),(85,1),(87,1),(134,1)}
        60:{2,4,6}:{(38,1),(84,1),(86,1),(87,1)}
        61:{2,3,5,7}:{(38,1),(39,1),(41,1),(87,1),(88,1),(91,1),(159,1)}
        62:{3,5,6}:{(40,1),(86,1),(91,1),(129,1),(198,1)}
        63:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(87,1),(91,1),(92,1),(93,1),(156,1),(159,1),(160,1),(213,1),(214,1)}
        64:{1,2,6,7}:{(41,1),(44,1),(88,1),(131,1)}
        65:{2,4,5,6}:{(42,1),(90,1),(93,1),(137,1),(204,1)}
        66:{3,4,5,7}:{(42,1),(43,1),(91,1),(93,1),(94,1),(214,1)}
        67:{1,4,6,7}:{(43,1),(44,1),(94,1),(95,1),(139,1)}
        68:{1,2,5}:{(45,1),(48,1),(58,1)}
        69:{1,2,4,7}:{(45,1),(47,1),(49,1),(59,1),(97,1)}
        70:{1,2,4,6}:{(46,1),(50,1),(60,1),(96,1),(98,1),(99,1),(105,1),(118,1)}
        71:{1,2,3,5,7}:{(46,1),(47,1),(51,1),(61,1),(97,1),(99,1),(100,1),(110,1),(123,1),(168,1),(174,1),(216,1),(220,1)}
        72:{1,4,5}:{(48,1),(50,1),(101,1)}
        73:{1,3,5,7}:{(48,1),(49,1),(97,1),(102,1),(103,1),(168,1)}
        74:{3,4,6}:{(50,1),(52,1),(101,1),(105,1),(106,1)}
        75:{1,4,7}:{(50,1),(51,1),(106,1)}
        76:{1,3,6,7}:{(51,1),(54,1),(103,1),(107,1),(111,1)}
        77:{1,3,5,6}:{(52,1),(55,1),(104,1),(108,1),(109,1),(166,1),(217,1)}
        78:{2,3,5,6}:{(52,1),(105,1),(108,1),(110,1),(167,1),(179,1),(218,1),(223,1)}
        79:{3,5,7}:{(52,1),(53,1),(106,1),(111,1)}
        80:{1,2,4,6,7}:{(53,1),(54,1),(57,1),(107,1),(111,1),(112,1),(113,1),(169,1),(181,1),(183,1),(184,1)}
        81:{1,4,5,7}:{(55,1),(56,1),(109,1),(113,1)}
        82:{3,4,6,7}:{(56,1),(57,1),(111,1),(113,1),(114,1),(184,1),(187,1)}
        83:{2,5,6,7}:{(57,1),(114,1),(188,1)}
        84:{2,4,5}:{(58,1),(60,1),(115,1)}
        85:{2,3,5,7}:{(58,1),(59,1),(97,1),(116,1),(117,1),(168,1)}
        86:{3,4,6}:{(60,1),(62,1),(115,1),(118,1),(120,1)}
        87:{2,4,7}:{(60,1),(61,1),(120,1)}
        88:{2,3,6,7}:{(61,1),(64,1),(117,1),(121,1),(125,1)}
        89:{1,3,5,6}:{(62,1),(118,1),(122,1),(123,1),(166,1),(189,1),(217,1),(226,1)}
        90:{2,3,5,6}:{(62,1),(65,1),(119,1),(122,1),(124,1),(167,1),(218,1)}
        91:{3,5,7}:{(62,1),(63,1),(120,1),(125,1)}
        92:{1,2,4,6,7}:{(63,1),(64,1),(67,1),(121,1),(125,1),(126,1),(127,1),(169,1),(191,1),(193,1),(194,1)}
        93:{2,4,5,7}:{(65,1),(66,1),(124,1),(127,1)}
        94:{3,4,6,7}:{(66,1),(67,1),(125,1),(127,1),(128,1),(177,1),(194,1)}
        95:{1,5,6,7}:{(67,1),(128,1),(178,1)}
        96:{1,2,4,5}:{(68,1),(70,1),(72,1),(84,1),(129,1),(137,1),(151,1),(195,1)}
        97:{1,2,5,7}:{(68,1),(69,1),(73,1),(85,1),(131,1)}
        98:{3,4,6}:{(70,1),(129,1),(134,1),(198,1)}
        99:{1,2,4,7}:{(70,1),(71,1),(75,1),(87,1),(134,1),(142,1),(156,1)}
       100:{1,2,3,6,7}:{(71,1),(76,1),(88,1),(131,1),(135,1),(147,1),(161,1),(198,1),(229,1)}
       101:{3,4,5}:{(72,1),(74,1),(129,1),(137,1)}
       102:{1,4,5,7}:{(72,1),(73,1),(75,1),(138,1),(139,1),(144,1)}
       103:{1,3,6}:{(73,1),(131,1),(139,1),(198,1)}
       104:{1,3,4,6}:{(74,1),(77,1),(136,1),(140,1),(141,1)}
       105:{2,4,6}:{(74,1),(78,1),(137,1),(142,1)}
       106:{3,4,7}:{(74,1),(75,1),(79,1),(142,1)}
       107:{1,4,6,7}:{(75,1),(76,1),(139,1),(143,1),(144,1)}
       108:{1,2,5,6}:{(77,1),(78,1),(140,1),(145,1),(195,1),(229,1)}
       109:{1,3,5,7}:{(77,1),(79,1),(81,1),(141,1),(145,1),(146,1)}
       110:{2,3,5,7}:{(78,1),(79,1),(142,1),(145,1),(147,1),(206,1),(207,1)}
       111:{3,6,7}:{(79,1),(80,1),(198,1)}
       112:{1,2,5,6,7}:{(80,1),(83,1),(144,1),(148,1),(149,1),(199,1),(207,1)}
       113:{1,4,6,7}:{(81,1),(82,1),(146,1),(149,1),(210,1)}
       114:{3,5,6,7}:{(82,1),(83,1),(149,1),(150,1),(211,1)}
       115:{3,4,5}:{(84,1),(86,1),(129,1),(151,1)}
       116:{2,4,5,7}:{(84,1),(85,1),(87,1),(153,1),(154,1),(159,1)}
       117:{2,3,6}:{(85,1),(131,1),(154,1),(198,1)}
       118:{1,4,6}:{(86,1),(89,1),(151,1),(156,1)}
       119:{2,3,4,6}:{(86,1),(90,1),(152,1),(155,1),(157,1)}
       120:{3,4,7}:{(86,1),(87,1),(91,1),(156,1)}
       121:{2,4,6,7}:{(87,1),(88,1),(154,1),(158,1),(159,1)}
       122:{1,2,5,6}:{(89,1),(90,1),(155,1),(160,1),(195,1),(229,1)}
       123:{1,3,5,7}:{(89,1),(91,1),(156,1),(160,1),(161,1),(212,1),(213,1)}
       124:{2,3,5,7}:{(90,1),(91,1),(93,1),(157,1),(160,1),(162,1)}
       125:{3,6,7}:{(91,1),(92,1),(198,1)}
       126:{1,2,5,6,7}:{(92,1),(95,1),(159,1),(163,1),(164,1),(199,1),(213,1)}
       127:{2,4,6,7}:{(93,1),(94,1),(162,1),(164,1),(204,1)}
       128:{3,5,6,7}:{(94,1),(95,1),(164,1),(165,1),(205,1)}
       129:{3,5}:{(96,1),(98,1)}
       130:{1,2,4,5,7}:{(96,1),(97,1),(99,1),(102,1),(116,1),(168,1),(169,1),(174,1),(176,1),(186,1),(216,1),(221,1)}
       131:{1,2,6}:{(97,1),(103,1),(117,1)}
       132:{1,3,4,6}:{(98,1),(118,1),(166,1),(170,1),(171,1),(189,1),(217,1),(225,1)}
       133:{2,3,4,6}:{(98,1),(105,1),(167,1),(170,1),(172,1),(179,1),(218,1),(222,1)}
       134:{3,4,7}:{(98,1),(99,1),(168,1)}
       135:{1,2,4,6,7}:{(99,1),(100,1),(107,1),(121,1),(169,1),(173,1),(174,1),(181,1),(191,1)}
       136:{1,3,4,5}:{(101,1),(104,1),(166,1),(175,1),(225,1)}
       137:{2,4,5}:{(101,1),(105,1),(167,1)}
       138:{3,4,5,7}:{(101,1),(102,1),(106,1),(168,1),(176,1),(177,1),(182,1),(221,1)}
       139:{1,4,6}:{(102,1),(103,1),(177,1),(178,1)}
       140:{1,2,4,6}:{(104,1),(105,1),(108,1),(175,1),(179,1),(180,1)}
       141:{1,3,4,7}:{(104,1),(106,1),(109,1),(180,1)}
       142:{2,4,7}:{(105,1),(106,1),(110,1)}
       143:{3,4,6,7}:{(106,1),(107,1),(111,1),(177,1),(181,1),(182,1),(184,1)}
       144:{1,5,7}:{(107,1),(178,1),(182,1)}
       145:{1,2,5,7}:{(108,1),(109,1),(110,1),(180,1),(183,1)}
       146:{1,3,6,7}:{(109,1),(111,1),(113,1),(183,1),(217,1)}
       147:{2,3,6,7}:{(110,1),(111,1),(181,1),(183,1),(218,1)}
       148:{3,5,6,7}:{(111,1),(112,1),(182,1),(184,1),(219,1)}
       149:{1,5,6,7}:{(113,1),(114,1),(226,1)}
       150:{4,5,6,7}:{(114,1),(184,1),(227,1)}
       151:{1,4,5}:{(115,1),(118,1),(166,1)}
       152:{2,3,4,5}:{(115,1),(119,1),(167,1),(185,1),(222,1)}
       153:{3,4,5,7}:{(115,1),(116,1),(120,1),(168,1),(186,1),(187,1),(192,1),(221,1)}
       154:{2,4,6}:{(116,1),(117,1),(187,1),(188,1)}
       155:{1,2,4,6}:{(118,1),(119,1),(122,1),(185,1),(189,1),(190,1)}
       156:{1,4,7}:{(118,1),(120,1),(123,1)}
       157:{2,3,4,7}:{(119,1),(120,1),(124,1),(190,1)}
       158:{3,4,6,7}:{(120,1),(121,1),(125,1),(187,1),(191,1),(192,1),(194,1)}
       159:{2,5,7}:{(121,1),(188,1),(192,1)}
       160:{1,2,5,7}:{(122,1),(123,1),(124,1),(190,1),(193,1)}
       161:{1,3,6,7}:{(123,1),(125,1),(191,1),(193,1),(217,1)}
       162:{2,3,6,7}:{(124,1),(125,1),(127,1),(193,1),(218,1)}
       163:{3,5,6,7}:{(125,1),(126,1),(192,1),(194,1),(219,1)}
       164:{2,5,6,7}:{(127,1),(128,1),(223,1)}
       165:{4,5,6,7}:{(128,1),(194,1),(224,1)}
       166:{1,3,5}:{(129,1),(132,1),(151,1),(195,1)}
       167:{2,3,5}:{(129,1),(133,1),(137,1),(195,1)}
       168:{3,5,7}:{(129,1),(130,1),(134,1),(198,1)}
       169:{1,2,4,6}:{(130,1),(131,1),(139,1),(154,1),(198,1),(199,1),(204,1),(210,1),(229,1),(230,1)}
       170:{1,2,4,6}:{(132,1),(133,1),(195,1),(200,1),(201,1),(228,1),(229,1)}
       171:{1,3,4,7}:{(132,1),(134,1),(156,1),(196,1),(201,1),(212,1)}
       172:{2,3,4,7}:{(133,1),(134,1),(142,1),(197,1),(201,1),(206,1)}
       173:{3,4,6,7}:{(134,1),(135,1),(198,1),(202,1),(230,1)}
       174:{1,2,5,7}:{(135,1),(144,1),(159,1),(199,1),(202,1),(207,1),(213,1)}
       175:{1,2,4,5}:{(136,1),(137,1),(140,1),(195,1),(203,1),(228,1)}
       176:{2,4,5,7}:{(137,1),(138,1),(142,1),(197,1),(204,1),(207,1)}
       177:{3,4,6}:{(138,1),(139,1),(198,1),(204,1),(205,1),(230,1)}
       178:{1,5,6}:{(139,1),(144,1),(205,1)}
       179:{2,3,6}:{(140,1),(203,1),(206,1)}
       180:{1,2,4,7}:{(140,1),(141,1),(142,1),(145,1),(206,1)}
       181:{2,4,6,7}:{(142,1),(143,1),(147,1),(204,1),(207,1)}
       182:{3,5,7}:{(143,1),(144,1),(205,1),(207,1),(208,1)}
       183:{1,2,6,7}:{(145,1),(146,1),(147,1),(229,1)}
       184:{4,6,7}:{(148,1),(208,1),(230,1)}
       185:{1,2,4,5}:{(151,1),(152,1),(155,1),(195,1),(209,1),(228,1)}
       186:{1,4,5,7}:{(151,1),(153,1),(156,1),(196,1),(210,1),(213,1)}
       187:{3,4,6}:{(153,1),(154,1),(198,1),(210,1),(211,1),(230,1)}
       188:{2,5,6}:{(154,1),(159,1),(211,1)}
       189:{1,3,6}:{(155,1),(209,1),(212,1)}
       190:{1,2,4,7}:{(155,1),(156,1),(157,1),(160,1),(212,1)}
       191:{1,4,6,7}:{(156,1),(158,1),(161,1),(210,1),(213,1)}
       192:{3,5,7}:{(158,1),(159,1),(211,1),(213,1),(214,1)}
       193:{1,2,6,7}:{(160,1),(161,1),(162,1),(229,1)}
       194:{4,6,7}:{(163,1),(214,1),(230,1)}
       195:{1,2,5}:{(166,1),(167,1),(170,1)}
       196:{1,3,5,7}:{(166,1),(168,1),(171,1),(186,1),(216,1),(217,1)}
       197:{2,3,5,7}:{(167,1),(168,1),(172,1),(176,1),(216,1),(218,1)}
       198:{3,6}:{(168,1),(169,1)}
       199:{1,2,5,6}:{(169,1),(174,1),(178,1),(188,1),(219,1),(223,1),(226,1)}
       200:{1,2,3,6}:{(170,1),(179,1),(189,1),(215,1),(220,1)}
       201:{1,2,4,7}:{(170,1),(171,1),(172,1),(216,1),(220,1)}
       202:{3,5,7}:{(173,1),(174,1),(219,1),(221,1)}
       203:{2,3,5}:{(175,1),(179,1),(222,1)}
       204:{2,4,6}:{(176,1),(177,1),(218,1),(223,1)}
       205:{3,5,6}:{(177,1),(178,1),(182,1),(223,1),(224,1)}
       206:{2,3,7}:{(179,1),(180,1)}
       207:{2,5,7}:{(181,1),(182,1),(223,1)}
       208:{4,5,7}:{(182,1),(184,1),(224,1)}
       209:{1,3,5}:{(185,1),(189,1),(225,1)}
       210:{1,4,6}:{(186,1),(187,1),(217,1),(226,1)}
       211:{3,5,6}:{(187,1),(188,1),(192,1),(226,1),(227,1)}
       212:{1,3,7}:{(189,1),(190,1)}
       213:{1,5,7}:{(191,1),(192,1),(226,1)}
       214:{4,5,7}:{(192,1),(194,1),(227,1)}
       215:{1,2,3,5}:{(195,1),(200,1),(203,1),(209,1),(228,1)}
       216:{1,2,5,7}:{(195,1),(196,1),(197,1),(201,1),(229,1)}
       217:{1,3,6}:{(196,1),(198,1),(210,1),(229,1)}
       218:{2,3,6}:{(197,1),(198,1),(204,1),(229,1)}
       219:{3,5,6}:{(198,1),(199,1),(202,1),(230,1)}
       220:{1,2,3,7}:{(200,1),(201,1),(206,1),(212,1)}
       221:{4,5,7}:{(202,1),(230,1)}
       222:{2,3,4}:{(203,1),(228,1)}
       223:{2,5,6}:{(204,1),(205,1),(207,1)}
       224:{4,5,6}:{(205,1),(208,1),(230,1)}
       225:{1,3,4}:{(209,1),(228,1)}
       226:{1,5,6}:{(210,1),(211,1),(213,1)}
       227:{4,5,6}:{(211,1),(214,1),(230,1)}
       228:{1,2,4}:{(215,1),(222,1),(225,1)}
       229:{1,2,6}:{(216,1),(217,1),(218,1)}
       230:{4,6}:{(219,1),(221,1)}

1074 :   0:{2,3,4,6}:{(4,1),(5,1),(6,1),(10,1),(39,1),(40,1),(43,1),(75,1),(124,1)}
         1:{1,3,5,6}:{(7,1),(8,1),(9,1),(31,1),(35,1),(40,1),(77,1),(83,1),(84,1),(125,1),(129,1)}
         2:{2,3,5,6}:{(5,1),(7,1),(10,1),(11,1),(12,1),(39,1),(40,1),(87,1),(129,1)}
         3:{2,4,5,6}:{(10,1),(12,1),(13,1),(87,1),(133,1)}
         4:{1,2,4,6}:{(0,1),(14,1),(15,1),(16,1),(52,1),(56,1),(102,1)}
         5:{2,3,5}:{(0,1),(15,1),(18,1),(54,1),(57,1),(145,1)}
         6:{2,3,4,7}:{(0,1),(16,1),(19,1),(26,1),(65,1),(67,1),(101,1),(206,1)}
         7:{1,2,5,6}:{(1,1),(2,1),(15,1),(20,1),(21,1),(28,1),(56,1),(57,1),(108,1)}
         8:{1,4,6}:{(1,1),(17,1),(22,1),(23,1),(52,1),(149,1)}
         9:{1,3,5,7}:{(1,1),(21,1),(23,1),(24,1),(58,1),(65,1),(69,1),(115,1)}
        10:{2,4,6}:{(2,1),(18,1),(25,1),(26,1),(149,1)}
        11:{2,3,5,7}:{(2,1),(21,1),(26,1),(27,1),(29,1),(65,1),(72,1),(115,1)}
        12:{3,5,6}:{(3,1),(25,1),(28,1),(29,1)}
        13:{2,4,5,7}:{(3,1),(26,1),(29,1),(30,1),(72,1),(119,1)}
        14:{1,3,6}:{(4,1),(31,1),(32,1),(40,1)}
        15:{1,2,5}:{(4,1),(5,1),(31,1),(125,1)}
        16:{1,2,4,7}:{(4,1),(6,1),(32,1),(34,1),(76,1),(208,1)}
        17:{1,4,5}:{(8,1),(35,1),(125,1),(162,1)}
        18:{2,4,5}:{(5,1),(10,1),(37,1),(162,1)}
        19:{2,3,5,7}:{(5,1),(6,1),(34,1),(38,1),(39,1),(80,1),(82,1),(193,1),(203,1)}
        20:{1,2,4,6}:{(7,1),(8,1),(10,1),(33,1),(40,1),(41,1),(43,1),(46,1),(88,1)}
        21:{1,2,5,7}:{(7,1),(9,1),(11,1),(41,1),(42,1),(49,1),(82,1)}
        22:{3,4,6}:{(8,1),(35,1),(40,1),(43,1),(44,1),(75,1),(83,1)}
        23:{1,4,7}:{(8,1),(9,1),(44,1),(137,1)}
        24:{1,3,6,7}:{(9,1),(42,1),(45,1),(77,1),(83,1),(91,1),(192,1)}
        25:{3,4,6}:{(10,1),(12,1),(37,1),(40,1),(46,1),(47,1)}
        26:{2,4,7}:{(10,1),(11,1),(47,1),(137,1)}
        27:{2,3,6,7}:{(11,1),(39,1),(42,1),(48,1),(50,1),(91,1),(193,1)}
        28:{1,5,6}:{(12,1),(46,1),(49,1)}
        29:{3,5,7}:{(12,1),(13,1),(47,1),(49,1),(50,1)}
        30:{2,4,6,7}:{(13,1),(50,1),(51,1),(98,1)}
        31:{1,3,5}:{(14,1),(15,1),(52,1),(54,1)}
        32:{1,3,7}:{(14,1),(16,1),(65,1),(209,1)}
        33:{1,2,4,5}:{(15,1),(17,1),(18,1),(20,1),(52,1),(54,1),(57,1),(60,1),(100,1),(103,1)}
        34:{1,2,5,7}:{(15,1),(16,1),(19,1),(53,1),(56,1),(200,1),(207,1)}
        35:{3,5}:{(17,1),(22,1),(57,1)}
        36:{1,4,5,7}:{(17,1),(23,1),(58,1),(59,1),(69,1),(117,1)}
        37:{3,4,5}:{(18,1),(25,1),(54,1),(60,1)}
        38:{2,4,5,7}:{(18,1),(19,1),(26,1),(61,1),(62,1),(72,1),(183,1),(196,1)}
        39:{2,3,6}:{(19,1),(56,1),(62,1),(106,1),(108,1)}
        40:{3,6}:{(20,1),(54,1),(65,1)}
        41:{1,2,4,7}:{(20,1),(21,1),(23,1),(26,1),(65,1),(67,1),(70,1),(112,1)}
        42:{1,2,6,7}:{(21,1),(24,1),(27,1),(56,1),(73,1),(108,1),(200,1)}
        43:{2,4,6}:{(22,1),(57,1),(64,1),(67,1),(100,1),(108,1)}
        44:{3,4,7}:{(22,1),(23,1),(58,1),(65,1),(67,1)}
        45:{1,4,6,7}:{(23,1),(24,1),(59,1),(68,1),(69,1),(102,1),(180,1),(184,1)}
        46:{1,4,6}:{(25,1),(28,1),(60,1),(63,1),(70,1)}
        47:{3,4,7}:{(25,1),(26,1),(29,1),(65,1),(70,1)}
        48:{2,4,6,7}:{(26,1),(27,1),(62,1),(71,1),(72,1),(157,1),(183,1)}
        49:{1,5,7}:{(28,1),(29,1),(70,1),(73,1)}
        50:{3,6,7}:{(29,1),(30,1),(73,1)}
        51:{2,5,6,7}:{(30,1),(72,1),(74,1),(157,1)}
        52:{1,4}:{(31,1),(75,1)}
        53:{1,3,5,7}:{(31,1),(32,1),(34,1),(76,1),(77,1),(80,1),(125,1),(171,1),(192,1),(202,1)}
        54:{3,5}:{(33,1),(40,1),(75,1)}
        55:{1,2,4,5,7}:{(33,1),(34,1),(36,1),(38,1),(41,1),(76,1),(80,1),(81,1),(82,1),(85,1),(92,1),(123,1),(125,1),(126,1),(137,1),(138,1),(161,1),(162,1),(168,1),(171,1),(186,1)}
        56:{1,2,6}:{(34,1),(39,1),(77,1)}
        57:{2,5}:{(35,1),(43,1)}
        58:{3,5,7}:{(35,1),(36,1),(44,1),(82,1),(83,1)}
        59:{1,4,6}:{(36,1),(83,1),(84,1),(131,1)}
        60:{1,4,5}:{(37,1),(46,1),(78,1)}
        61:{3,4,5,7}:{(37,1),(38,1),(47,1),(80,1),(85,1),(86,1),(96,1),(137,1),(162,1),(169,1),(187,1)}
        62:{2,4,6}:{(38,1),(39,1),(86,1),(87,1)}
        63:{1,3,6}:{(40,1),(46,1),(78,1),(88,1),(89,1)}
        64:{2,3,6}:{(40,1),(43,1),(79,1),(88,1),(90,1)}
        65:{3,7}:{(40,1),(41,1)}
        66:{1,2,4,6,7}:{(41,1),(42,1),(45,1),(48,1),(81,1),(91,1),(92,1),(93,1),(95,1),(134,1),(137,1),(168,1)}
        67:{2,4,7}:{(43,1),(44,1),(82,1),(90,1)}
        68:{3,4,6,7}:{(44,1),(45,1),(83,1),(91,1),(93,1),(94,1),(124,1),(131,1),(137,1),(166,1),(170,1)}
        69:{1,5,7}:{(45,1),(84,1),(94,1),(125,1)}
        70:{1,4,7}:{(46,1),(47,1),(49,1),(89,1)}
        71:{3,4,6,7}:{(47,1),(48,1),(50,1),(86,1),(91,1),(95,1),(96,1),(98,1),(137,1),(140,1),(169,1)}
        72:{2,5,7}:{(48,1),(87,1),(96,1)}
        73:{1,6,7}:{(49,1),(50,1)}
        74:{3,5,6,7}:{(50,1),(51,1),(96,1),(97,1),(98,1),(140,1)}
        75:{3,4}:{(52,1),(54,1),(100,1)}
        76:{1,4,7}:{(52,1),(53,1),(101,1),(102,1),(205,1)}
        77:{1,3,6}:{(53,1),(56,1),(102,1),(106,1),(180,1)}
        78:{1,3,5}:{(54,1),(60,1),(63,1),(99,1),(103,1)}
        79:{2,3,5}:{(54,1),(57,1),(64,1),(100,1),(103,1),(141,1)}
        80:{3,5,7}:{(54,1),(55,1),(65,1),(101,1),(106,1),(145,1),(182,1),(195,1)}
        81:{1,2,4,6}:{(55,1),(56,1),(59,1),(62,1),(102,1),(106,1),(107,1),(108,1),(110,1),(144,1),(146,1),(149,1),(150,1),(180,1)}
        82:{2,5,7}:{(57,1),(58,1),(67,1),(108,1)}
        83:{3,6}:{(58,1),(59,1),(108,1)}
        84:{1,5,6}:{(59,1),(69,1),(109,1),(180,1)}
        85:{1,4,5,7}:{(60,1),(61,1),(70,1),(104,1),(110,1),(118,1),(153,1),(175,1)}
        86:{3,4,6}:{(61,1),(62,1),(106,1),(110,1),(111,1),(149,1)}
        87:{2,5,6}:{(62,1),(72,1),(111,1)}
        88:{1,2,6}:{(63,1),(64,1),(103,1),(112,1)}
        89:{1,3,7}:{(63,1),(65,1),(70,1),(112,1)}
        90:{2,3,7}:{(64,1),(65,1),(67,1),(112,1)}
        91:{3,6,7}:{(65,1),(66,1),(106,1),(115,1),(182,1)}
        92:{1,2,5,7}:{(66,1),(69,1),(72,1),(107,1),(115,1),(116,1),(118,1)}
        93:{2,4,6,7}:{(67,1),(68,1),(108,1),(114,1),(116,1),(144,1),(150,1),(154,1)}
        94:{3,5,7}:{(68,1),(69,1),(109,1),(116,1),(117,1),(145,1)}
        95:{1,4,6,7}:{(70,1),(71,1),(73,1),(110,1),(113,1),(118,1),(153,1)}
        96:{3,5,7}:{(71,1),(72,1),(111,1),(118,1),(119,1)}
        97:{1,5,6,7}:{(73,1),(74,1),(118,1),(120,1)}
        98:{4,6,7}:{(74,1),(119,1)}
        99:{1,3,4}:{(75,1),(78,1),(121,1)}
       100:{2,4}:{(75,1),(79,1)}
       101:{3,4,7}:{(75,1),(76,1),(80,1),(123,1),(124,1),(137,1),(201,1)}
       102:{1,4,6}:{(76,1),(77,1),(124,1),(125,1)}
       103:{1,2,5}:{(78,1),(79,1),(88,1),(121,1)}
       104:{1,3,5,7}:{(78,1),(80,1),(85,1),(89,1),(122,1),(126,1),(127,1),(160,1),(171,1)}
       105:{2,3,5,7}:{(79,1),(80,1),(82,1),(90,1),(123,1),(126,1),(128,1),(158,1),(161,1),(185,1)}
       106:{3,6}:{(80,1),(81,1)}
       107:{1,2,5,6}:{(81,1),(84,1),(87,1),(92,1),(125,1),(129,1),(130,1),(132,1),(161,1)}
       108:{2,6}:{(82,1),(83,1)}
       109:{3,5,6}:{(83,1),(84,1),(94,1),(130,1),(131,1),(166,1)}
       110:{1,4,6}:{(85,1),(86,1),(127,1),(132,1)}
       111:{3,5,6}:{(86,1),(87,1),(96,1),(132,1),(133,1)}
       112:{1,2,7}:{(88,1),(89,1),(90,1)}
       113:{1,3,6,7}:{(89,1),(91,1),(95,1),(127,1),(134,1),(135,1),(140,1)}
       114:{2,3,6,7}:{(90,1),(91,1),(93,1),(128,1),(134,1),(136,1),(166,1)}
       115:{3,5,7}:{(91,1),(92,1),(129,1),(137,1)}
       116:{2,5,7}:{(93,1),(94,1),(130,1),(161,1)}
       117:{4,5,7}:{(94,1),(131,1),(137,1),(162,1)}
       118:{1,5,7}:{(95,1),(96,1),(132,1)}
       119:{4,5,7}:{(96,1),(98,1),(133,1),(137,1)}
       120:{1,4,6,7}:{(97,1),(98,1),(139,1),(140,1)}
       121:{1,2,4}:{(99,1),(100,1),(103,1),(141,1)}
       122:{1,3,4,7}:{(99,1),(101,1),(104,1),(142,1),(143,1),(153,1),(182,1),(184,1)}
       123:{2,4,7}:{(100,1),(101,1),(105,1),(144,1),(194,1)}
       124:{3,4,6}:{(101,1),(102,1),(106,1),(144,1),(145,1),(149,1)}
       125:{1,5}:{(102,1),(145,1)}
       126:{1,2,5,7}:{(103,1),(104,1),(105,1),(112,1),(142,1),(146,1),(174,1)}
       127:{1,3,6}:{(104,1),(106,1),(110,1),(146,1),(180,1)}
       128:{2,3,6}:{(105,1),(106,1),(108,1),(144,1),(146,1)}
       129:{3,5,6}:{(106,1),(107,1),(115,1),(145,1),(149,1)}
       130:{2,5,6}:{(108,1),(109,1),(116,1),(150,1)}
       131:{4,6}:{(109,1),(117,1)}
       132:{1,5,6}:{(110,1),(111,1),(118,1)}
       133:{4,5,6}:{(111,1),(119,1),(149,1)}
       134:{1,2,6,7}:{(112,1),(113,1),(114,1),(146,1),(152,1),(157,1),(180,1)}
       135:{1,3,5,7}:{(113,1),(115,1),(118,1),(147,1),(152,1),(153,1),(156,1),(182,1)}
       136:{2,3,5,7}:{(114,1),(115,1),(116,1),(148,1),(152,1),(154,1),(155,1),(182,1)}
       137:{4,7}:{(115,1),(149,1)}
       138:{2,4,5,7}:{(116,1),(117,1),(150,1),(154,1),(155,1),(176,1)}
       139:{1,4,5,7}:{(118,1),(119,1),(120,1),(151,1),(153,1),(156,1)}
       140:{3,6,7}:{(120,1),(156,1),(157,1)}
       141:{2,3}:{(121,1)}
       142:{1,2,4,7}:{(121,1),(122,1),(123,1),(126,1),(158,1),(159,1)}
       143:{1,3,4,6}:{(122,1),(124,1),(127,1),(159,1),(160,1),(164,1),(189,1),(191,1),(201,1)}
       144:{2,4,6}:{(123,1),(124,1),(128,1),(161,1)}
       145:{3,5}:{(124,1),(125,1),(161,1),(162,1)}
       146:{1,2,6}:{(126,1),(127,1),(128,1)}
       147:{1,3,5,6}:{(127,1),(129,1),(132,1),(135,1),(160,1),(163,1),(164,1),(167,1),(189,1)}
       148:{2,3,5,6}:{(128,1),(129,1),(130,1),(136,1),(161,1),(163,1),(165,1),(166,1),(185,1),(188,1),(189,1)}
       149:{4,6}:{(129,1),(137,1),(162,1)}
       150:{2,4,6}:{(130,1),(131,1),(138,1),(166,1)}
       151:{1,4,5,6}:{(132,1),(133,1),(139,1),(164,1),(167,1)}
       152:{1,2,5,7}:{(134,1),(135,1),(136,1),(163,1),(168,1),(171,1),(172,1)}
       153:{1,4,7}:{(135,1),(137,1),(164,1),(169,1)}
       154:{2,4,7}:{(136,1),(137,1),(165,1),(170,1)}
       155:{3,5,7}:{(138,1),(166,1),(170,1),(171,1),(188,1)}
       156:{3,5,7}:{(139,1),(140,1),(167,1),(169,1),(172,1)}
       157:{2,6,7}:{(140,1),(172,1)}
       158:{2,3,7}:{(141,1),(142,1),(173,1),(182,1)}
       159:{1,2,4,6}:{(142,1),(143,1),(144,1),(146,1),(173,1),(174,1),(194,1)}
       160:{1,3,5}:{(143,1),(145,1),(174,1),(175,1),(195,1),(197,1)}
       161:{2,5}:{(144,1),(145,1)}
       162:{4,5}:{(145,1),(149,1)}
       163:{1,2,5,6}:{(146,1),(147,1),(148,1),(152,1),(174,1),(177,1),(180,1),(181,1),(197,1)}
       164:{1,4,6}:{(147,1),(149,1),(153,1),(175,1),(178,1)}
       165:{2,4,6}:{(148,1),(149,1),(154,1),(176,1),(179,1),(194,1)}
       166:{3,6}:{(150,1),(155,1),(180,1)}
       167:{3,5,6}:{(151,1),(156,1),(178,1),(181,1)}
       168:{1,2,4,7}:{(152,1),(153,1),(154,1),(177,1),(182,1),(183,1),(184,1),(200,1)}
       169:{3,4,7}:{(153,1),(156,1),(178,1),(182,1),(183,1)}
       170:{3,4,7}:{(154,1),(155,1),(179,1),(182,1),(184,1)}
       171:{1,5,7}:{(155,1),(180,1),(184,1),(197,1)}
       172:{2,5,7}:{(156,1),(157,1),(181,1),(183,1)}
       173:{2,3,6}:{(158,1),(159,1),(185,1),(189,1)}
       174:{1,2,5}:{(159,1),(160,1),(161,1),(185,1)}
       175:{1,4,5}:{(160,1),(162,1),(164,1),(187,1)}
       176:{2,4,5}:{(161,1),(162,1),(165,1),(188,1)}
       177:{1,2,4,6}:{(163,1),(164,1),(165,1),(168,1),(186,1),(189,1),(190,1),(191,1),(204,1)}
       178:{3,4,6}:{(164,1),(167,1),(169,1),(187,1),(189,1),(190,1)}
       179:{3,4,6}:{(165,1),(166,1),(170,1),(188,1),(189,1),(191,1),(201,1)}
       180:{1,6}:{(166,1),(171,1)}
       181:{2,5,6}:{(167,1),(172,1),(190,1)}
       182:{3,7}:{(168,1),(189,1)}
       183:{2,4,7}:{(169,1),(172,1),(190,1),(193,1)}
       184:{1,4,7}:{(170,1),(171,1),(191,1),(192,1)}
       185:{2,3,5}:{(173,1),(174,1),(194,1),(195,1)}
       186:{1,2,4,5}:{(174,1),(175,1),(176,1),(177,1),(194,1),(195,1),(196,1),(197,1),(205,1),(207,1)}
       187:{3,4,5}:{(175,1),(178,1),(195,1),(196,1)}
       188:{3,5}:{(176,1),(179,1),(197,1)}
       189:{3,6}:{(177,1),(182,1),(195,1)}
       190:{2,4,6}:{(178,1),(181,1),(183,1),(196,1),(199,1)}
       191:{1,4,6}:{(179,1),(180,1),(184,1),(197,1),(198,1),(205,1)}
       192:{1,3,7}:{(182,1),(184,1),(198,1),(200,1)}
       193:{2,3,7}:{(182,1),(183,1),(199,1),(200,1)}
       194:{2,4}:{(185,1),(201,1)}
       195:{3,5}:{(186,1),(189,1),(201,1)}
       196:{2,4,5}:{(187,1),(190,1),(203,1)}
       197:{1,5}:{(188,1),(191,1)}
       198:{1,3,6}:{(189,1),(191,1),(192,1),(202,1),(204,1)}
       199:{2,3,6}:{(189,1),(190,1),(193,1),(203,1),(204,1)}
       200:{1,2,7}:{(192,1),(193,1),(204,1)}
       201:{3,4}:{(194,1),(195,1),(205,1)}
       202:{1,3,5}:{(195,1),(197,1),(198,1),(205,1),(207,1),(209,1)}
       203:{2,3,5}:{(195,1),(196,1),(199,1),(206,1),(207,1)}
       204:{1,2,6}:{(198,1),(199,1),(200,1),(207,1)}
       205:{1,4}:{(201,1),(202,1)}
       206:{2,3,4}:{(201,1),(203,1),(208,1)}
       207:{1,2,5}:{(202,1),(203,1),(204,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{1,3}:{(208,1)}

1075 :   0:{1,2,4,5,6}:{(2,1),(3,1),(17,1),(18,1),(22,1),(40,1),(44,1),(76,1),(77,1),(78,1),(98,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(5,1),(7,1),(69,1),(70,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(31,1),(33,1),(34,1),(38,1),(69,1),(70,1)}
         3:{3,5,6}:{(0,1),(6,1),(8,1),(63,1),(90,1),(102,1)}
         4:{2,3,4,6}:{(12,1),(13,1),(14,1),(18,1),(45,1),(55,1),(80,1),(97,1)}
         5:{3,5,6,7}:{(1,1),(15,1),(19,1),(51,1),(96,1)}
         6:{3,4,6}:{(3,1),(11,1),(16,1),(17,1),(18,1),(55,1),(80,1)}
         7:{1,2,4,6,7}:{(1,1),(2,1),(15,1),(19,1),(52,1),(53,1),(56,1),(78,1)}
         8:{3,5,7}:{(2,1),(3,1),(16,1),(19,1)}
         9:{1,3,5,6}:{(3,1),(17,1),(20,1),(22,1),(39,1),(47,1),(55,1),(73,1),(76,1),(81,1),(96,1),(98,1)}
        10:{2,3,5,6}:{(3,1),(12,1),(18,1),(21,1),(22,1),(45,1),(55,1),(75,1),(77,1),(94,1),(96,1),(103,1)}
        11:{3,4,5}:{(6,1),(24,1),(25,1),(63,1),(102,1)}
        12:{2,3,5}:{(4,1),(25,1),(27,1),(63,1),(102,1)}
        13:{2,3,4,7}:{(4,1),(26,1),(28,1),(34,1),(72,1),(91,1)}
        14:{1,2,4,6}:{(4,1),(27,1),(28,1),(29,1),(64,1),(66,1),(92,1)}
        15:{4,6,7}:{(5,1),(31,1),(101,1)}
        16:{3,4,7}:{(6,1),(8,1),(33,1),(34,1),(72,1)}
        17:{1,4,6}:{(6,1),(9,1),(24,1),(33,1),(66,1),(101,1)}
        18:{2,4,6}:{(6,1),(10,1),(25,1),(34,1),(88,1),(101,1)}
        19:{3,6,7}:{(7,1),(8,1),(90,1)}
        20:{1,3,5,7}:{(8,1),(9,1),(33,1),(36,1),(38,1),(69,1),(72,1),(93,1)}
        21:{2,3,5,7}:{(8,1),(10,1),(34,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        22:{1,2,5,6}:{(9,1),(10,1),(27,1),(35,1),(38,1),(58,1),(64,1),(86,1)}
        23:{3,4,5,7}:{(11,1),(16,1),(41,1),(42,1),(43,1),(51,1),(79,1),(99,1),(104,1)}
        24:{1,4,5}:{(11,1),(17,1),(39,1),(98,1),(104,1)}
        25:{2,4,5}:{(11,1),(12,1),(18,1),(103,1),(104,1)}
        26:{2,3,5,7}:{(12,1),(13,1),(43,1),(45,1),(46,1),(79,1)}
        27:{1,2,5}:{(12,1),(14,1),(47,1),(98,1)}
        28:{1,2,4,7}:{(13,1),(14,1),(46,1),(48,1),(82,1)}
        29:{1,3,6}:{(14,1),(47,1),(48,1),(55,1)}
        30:{1,3,4,6}:{(17,1),(39,1),(49,1),(50,1),(55,1),(73,1),(80,1),(97,1)}
        31:{4,5,7}:{(15,1),(40,1),(51,1),(99,1),(104,1)}
        32:{3,4,6,7}:{(15,1),(16,1),(19,1),(41,1),(51,1),(52,1),(53,1),(85,1),(97,1),(99,1)}
        33:{1,4,7}:{(16,1),(17,1),(20,1),(99,1)}
        34:{2,4,7}:{(16,1),(18,1),(21,1),(99,1)}
        35:{1,2,4,6}:{(17,1),(18,1),(22,1),(44,1),(54,1),(55,1)}
        36:{1,3,6,7}:{(19,1),(20,1),(52,1),(56,1),(73,1),(81,1),(85,1)}
        37:{2,3,6,7}:{(19,1),(21,1),(45,1),(53,1),(56,1),(85,1),(94,1)}
        38:{1,2,5,7}:{(20,1),(21,1),(22,1),(54,1),(56,1)}
        39:{1,3,5}:{(24,1),(30,1),(58,1),(63,1),(102,1)}
        40:{4,5,6}:{(31,1),(59,1),(101,1)}
        41:{3,4,6}:{(23,1),(59,1),(60,1),(61,1),(90,1),(101,1)}
        42:{1,4,5,7}:{(23,1),(24,1),(33,1),(57,1),(60,1),(69,1)}
        43:{2,4,5,7}:{(23,1),(25,1),(26,1),(34,1),(61,1),(70,1)}
        44:{1,2,4,5}:{(24,1),(25,1),(27,1),(35,1),(58,1),(63,1),(66,1),(88,1)}
        45:{2,3,6}:{(26,1),(61,1),(64,1),(90,1)}
        46:{1,2,5,7}:{(26,1),(27,1),(28,1),(64,1),(65,1)}
        47:{1,3,5}:{(27,1),(29,1),(63,1),(66,1)}
        48:{1,3,7}:{(28,1),(29,1),(72,1)}
        49:{1,3,4,7}:{(30,1),(33,1),(57,1),(67,1),(72,1),(91,1)}
        50:{1,2,4,6}:{(30,1),(58,1),(67,1),(68,1),(86,1),(88,1),(100,1)}
        51:{3,5,7}:{(31,1),(32,1),(59,1),(69,1),(70,1),(102,1)}
        52:{1,4,6,7}:{(32,1),(33,1),(36,1),(60,1),(69,1),(92,1)}
        53:{2,4,6,7}:{(32,1),(34,1),(37,1),(61,1),(70,1),(100,1)}
        54:{1,2,4,7}:{(33,1),(34,1),(35,1),(38,1),(72,1)}
        55:{3,6}:{(35,1),(63,1),(72,1)}
        56:{1,2,6,7}:{(36,1),(37,1),(38,1),(64,1),(86,1)}
        57:{1,3,5,7}:{(39,1),(42,1),(49,1),(73,1),(74,1),(79,1)}
        58:{1,2,5}:{(39,1),(50,1),(75,1),(103,1)}
        59:{3,5,6}:{(40,1),(41,1),(51,1),(76,1),(77,1)}
        60:{1,4,6}:{(41,1),(42,1),(73,1),(76,1)}
        61:{2,4,6}:{(41,1),(43,1),(45,1),(77,1)}
        62:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(46,1),(54,1),(74,1),(78,1),(79,1),(82,1),(84,1),(95,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5}:{(44,1),(55,1),(80,1)}
        64:{1,2,6}:{(45,1),(46,1),(81,1)}
        65:{1,3,5,7}:{(46,1),(47,1),(48,1),(79,1),(81,1),(82,1),(98,1)}
        66:{1,4}:{(47,1),(80,1)}
        67:{1,2,4,7}:{(49,1),(50,1),(74,1),(83,1),(95,1)}
        68:{2,3,6}:{(50,1),(55,1),(75,1),(83,1)}
        69:{1,5,7}:{(51,1),(52,1),(76,1),(98,1)}
        70:{2,5,7}:{(51,1),(53,1),(77,1),(103,1)}
        71:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(56,1),(78,1),(84,1),(85,1),(99,1)}
        72:{3,7}:{(54,1),(55,1)}
        73:{1,3,6}:{(57,1),(60,1),(86,1),(90,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(67,1),(86,1),(87,1)}
        75:{2,3,5}:{(58,1),(63,1),(68,1),(88,1)}
        76:{1,5,6}:{(59,1),(60,1),(69,1)}
        77:{2,5,6}:{(59,1),(61,1),(70,1)}
        78:{1,2,4,6}:{(60,1),(61,1),(62,1),(64,1),(86,1),(89,1),(90,1),(92,1),(100,1),(101,1)}
        79:{3,5,7}:{(62,1),(63,1),(72,1),(90,1),(91,1),(102,1)}
        80:{3,4}:{(63,1),(66,1),(88,1)}
        81:{1,3,6}:{(64,1),(65,1),(90,1),(92,1)}
        82:{1,4,7}:{(65,1),(66,1),(91,1),(92,1)}
        83:{2,3,7}:{(67,1),(68,1),(72,1)}
        84:{1,2,5,7}:{(69,1),(70,1),(71,1),(89,1),(93,1)}
        85:{3,6,7}:{(71,1),(72,1),(90,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(79,1),(83,1),(94,1),(95,1),(103,1)}
        88:{2,4}:{(75,1),(80,1)}
        89:{1,2,5,6}:{(76,1),(77,1),(78,1),(84,1),(96,1),(98,1),(103,1)}
        90:{3,6}:{(78,1),(79,1)}
        91:{3,4,7}:{(79,1),(80,1),(82,1),(95,1),(97,1),(99,1)}
        92:{1,4,6}:{(81,1),(82,1),(97,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(96,1),(99,1)}
        94:{2,3,6}:{(86,1),(87,1),(90,1),(100,1)}
        95:{2,4,7}:{(87,1),(88,1),(91,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(93,1),(101,1),(102,1)}
        97:{3,4,6}:{(90,1),(91,1),(92,1),(100,1),(101,1),(102,1)}
        98:{1,5}:{(92,1),(102,1)}
        99:{4,7}:{(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(95,1),(97,1),(103,1)}
       101:{4,6}:{(96,1),(99,1),(104,1)}
       102:{3,5}:{(97,1),(98,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1076 :   0:{1,3,4,5,7}:{(1,1),(2,1),(12,1),(33,1),(75,1),(89,1),(93,1),(121,1),(131,1),(142,1)}
         1:{1,3,4,6}:{(0,1),(6,1),(7,1),(69,1),(148,1),(158,1),(167,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(20,1),(26,1),(59,1),(66,1),(70,1)}
         3:{1,4,5,6,7}:{(10,1),(39,1),(170,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(39,1),(86,1),(89,1),(139,1)}
         5:{3,4,5,6}:{(11,1),(14,1),(15,1),(47,1),(125,1),(172,1)}
         6:{1,3,5,6}:{(1,1),(12,1),(14,1),(16,1),(47,1),(75,1),(186,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(48,1)}
         8:{2,3,5,7}:{(2,1),(17,1),(18,1),(49,1),(131,1)}
         9:{1,2,3,5,7}:{(8,1),(19,1),(20,1),(53,1),(59,1)}
        10:{3,5,6,7}:{(3,1),(21,1),(23,1),(189,1)}
        11:{3,4,5,7}:{(5,1),(21,1),(24,1),(25,1),(65,1)}
        12:{1,3,5,7}:{(4,1),(6,1),(24,1),(26,1),(65,1),(164,1)}
        13:{1,2,4,6,7}:{(4,1),(7,1),(26,1),(27,1),(66,1)}
        14:{1,4,5,6}:{(5,1),(6,1),(24,1),(98,1),(148,1)}
        15:{2,4,5,6}:{(5,1),(25,1),(28,1),(151,1),(191,1)}
        16:{1,2,5,6}:{(6,1),(7,1),(26,1),(30,1),(59,1)}
        17:{2,3,6}:{(7,1),(8,1),(158,1)}
        18:{2,3,4,7}:{(8,1),(20,1),(31,1),(66,1),(102,1)}
        19:{1,2,3,6}:{(9,1),(17,1),(37,1),(76,1)}
        20:{1,2,4,7}:{(9,1),(18,1),(33,1),(37,1)}
        21:{3,4,6,7}:{(10,1),(11,1),(39,1),(40,1),(86,1),(172,1)}
        22:{1,3,5,6,7}:{(10,1),(12,1),(39,1),(41,1),(86,1),(122,1)}
        23:{2,5,6,7}:{(10,1),(40,1),(202,1)}
        24:{1,4,5,7}:{(11,1),(12,1),(14,1),(39,1)}
        25:{2,4,5,7}:{(11,1),(15,1),(40,1),(42,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(16,1),(44,1)}
        27:{2,3,6,7}:{(13,1),(17,1),(44,1),(86,1)}
        28:{2,3,5,6}:{(15,1),(35,1),(42,1),(46,1),(47,1),(135,1),(180,1)}
        29:{1,2,4,5,6}:{(14,1),(15,1),(16,1),(43,1),(46,1),(47,1),(48,1),(82,1),(92,1),(132,1),(141,1),(186,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(44,1),(47,1),(48,1),(49,1)}
        31:{2,3,4,6}:{(17,1),(18,1),(37,1),(48,1),(49,1),(81,1)}
        32:{2,3,4,5,7}:{(18,1),(38,1),(49,1),(50,1),(90,1),(95,1),(125,1),(131,1),(171,1),(178,1)}
        33:{1,3,4,7}:{(20,1),(52,1),(53,1),(102,1),(154,1)}
        34:{1,2,3,6,7}:{(19,1),(27,1),(55,1),(56,1),(100,1),(111,1),(158,1),(197,1),(198,1)}
        35:{2,3,4,6}:{(28,1),(51,1),(54,1),(57,1),(69,1)}
        36:{1,2,3,5,6}:{(19,1),(30,1),(55,1),(58,1),(59,1),(68,1),(99,1),(104,1),(105,1),(108,1),(158,1),(160,1),(161,1),(197,1)}
        37:{1,2,4,6}:{(19,1),(20,1),(31,1),(52,1),(59,1)}
        38:{1,2,4,5,7}:{(20,1),(32,1),(53,1),(59,1),(60,1),(98,1),(110,1),(154,1)}
        39:{1,4,6,7}:{(21,1),(22,1),(24,1),(148,1)}
        40:{2,4,6,7}:{(21,1),(23,1),(25,1),(61,1),(191,1)}
        41:{1,2,5,6,7}:{(22,1),(23,1),(26,1),(62,1),(63,1),(104,1),(164,1)}
        42:{2,3,5,7}:{(25,1),(28,1),(54,1),(61,1),(64,1),(65,1)}
        43:{1,2,4,5,7}:{(24,1),(25,1),(26,1),(29,1),(62,1),(64,1),(65,1),(66,1),(113,1),(114,1),(164,1)}
        44:{2,3,5,7}:{(26,1),(27,1),(30,1),(65,1),(66,1)}
        45:{2,3,4,6,7}:{(27,1),(31,1),(56,1),(66,1),(67,1),(102,1),(112,1),(116,1),(158,1)}
        46:{1,2,5,6}:{(28,1),(57,1),(64,1),(68,1),(160,1),(197,1)}
        47:{3,5,6}:{(29,1),(65,1),(69,1),(108,1),(158,1)}
        48:{2,4,6}:{(30,1),(66,1),(69,1),(70,1)}
        49:{2,3,5}:{(31,1),(59,1),(70,1),(108,1)}
        50:{2,3,4,6}:{(32,1),(60,1),(71,1),(116,1),(153,1),(158,1),(191,1)}
        51:{2,3,4,5}:{(35,1),(74,1),(93,1),(135,1),(174,1)}
        52:{1,3,4,6}:{(33,1),(37,1),(75,1),(76,1),(81,1),(126,1)}
        53:{1,3,5,7}:{(33,1),(38,1),(75,1),(76,1),(131,1)}
        54:{2,3,4,7}:{(35,1),(42,1),(77,1),(89,1)}
        55:{1,2,3,5,7}:{(34,1),(36,1),(44,1),(78,1),(79,1),(88,1),(127,1),(128,1),(131,1),(179,1),(184,1)}
        56:{1,2,4,6,7}:{(34,1),(37,1),(45,1),(73,1),(78,1),(79,1),(132,1),(139,1),(204,1)}
        57:{1,2,4,6}:{(35,1),(46,1),(74,1),(77,1),(80,1),(92,1)}
        58:{1,2,4,6}:{(36,1),(48,1),(78,1),(81,1),(82,1),(92,1),(126,1),(176,1)}
        59:{1,2,5}:{(37,1),(49,1),(75,1)}
        60:{1,2,4,6}:{(38,1),(50,1),(76,1),(83,1),(126,1)}
        61:{2,3,6,7}:{(40,1),(42,1),(85,1),(86,1),(180,1)}
        62:{1,2,4,6,7}:{(39,1),(40,1),(41,1),(43,1),(85,1),(86,1),(87,1),(132,1),(139,1)}
        63:{2,3,5,6,7}:{(41,1),(44,1),(86,1),(87,1),(91,1),(140,1)}
        64:{1,2,5,7}:{(42,1),(46,1),(77,1),(85,1),(88,1)}
        65:{3,5,7}:{(43,1),(47,1),(86,1),(89,1)}
        66:{2,4,7}:{(44,1),(48,1),(89,1)}
        67:{2,3,5,7}:{(45,1),(49,1),(79,1),(90,1),(91,1),(131,1),(140,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(80,1),(88,1),(92,1),(136,1),(181,1),(186,1)}
        69:{3,4,6}:{(47,1),(48,1),(89,1),(92,1),(93,1)}
        70:{2,4,5}:{(48,1),(49,1),(93,1)}
        71:{2,3,5,6}:{(49,1),(50,1),(83,1),(94,1),(95,1),(137,1),(202,1)}
        72:{2,3,4,6,7}:{(50,1),(84,1),(95,1),(144,1),(178,1),(182,1),(204,1)}
        73:{1,3,4,6,7}:{(52,1),(56,1),(96,1),(100,1),(102,1),(148,1),(154,1),(158,1),(192,1)}
        74:{1,2,4,5}:{(51,1),(57,1),(97,1),(118,1),(150,1),(160,1)}
        75:{1,3,5}:{(52,1),(59,1),(98,1),(108,1)}
        76:{1,3,6}:{(53,1),(60,1),(158,1)}
        77:{1,2,4,7}:{(54,1),(57,1),(64,1),(101,1),(114,1)}
        78:{1,2,4,7}:{(55,1),(58,1),(66,1),(102,1),(114,1),(154,1),(195,1)}
        79:{1,2,5,7}:{(56,1),(59,1),(67,1),(96,1),(104,1),(164,1),(208,1)}
        80:{1,3,6}:{(57,1),(97,1),(101,1)}
        81:{3,4,6}:{(58,1),(102,1),(108,1),(158,1)}
        82:{1,2,4,5}:{(58,1),(59,1),(70,1),(98,1),(108,1),(118,1),(151,1),(160,1)}
        83:{1,2,5,6}:{(59,1),(60,1),(71,1),(99,1),(110,1)}
        84:{1,2,4,6,7}:{(60,1),(72,1),(100,1),(110,1),(154,1)}
        85:{1,2,6,7}:{(61,1),(64,1),(111,1),(197,1)}
        86:{3,6,7}:{(62,1),(65,1),(158,1)}
        87:{2,4,6,7}:{(63,1),(66,1),(112,1),(113,1),(116,1)}
        88:{1,3,5,7}:{(64,1),(65,1),(68,1),(101,1),(111,1),(114,1),(164,1)}
        89:{3,4,7}:{(65,1),(66,1),(69,1),(114,1)}
        90:{2,4,5,7}:{(66,1),(67,1),(70,1),(115,1),(116,1)}
        91:{2,3,5,6}:{(67,1),(104,1),(116,1),(158,1),(165,1)}
        92:{1,4,6}:{(68,1),(69,1),(114,1),(118,1)}
        93:{3,4,5}:{(69,1),(70,1),(108,1),(118,1)}
        94:{2,4,5,6}:{(70,1),(71,1),(116,1),(119,1),(120,1)}
        95:{2,3,5,7}:{(71,1),(72,1),(110,1),(120,1),(163,1),(208,1)}
        96:{1,3,5,7}:{(73,1),(75,1),(79,1),(121,1),(122,1),(131,1),(203,1)}
        97:{1,3,5}:{(74,1),(80,1),(124,1)}
        98:{1,4,5}:{(75,1),(125,1),(126,1)}
        99:{1,3,5,6}:{(75,1),(76,1),(83,1),(126,1),(127,1),(137,1)}
       100:{1,3,6,7}:{(76,1),(84,1),(127,1),(182,1)}
       101:{1,3,7}:{(77,1),(80,1)}
       102:{3,4,7}:{(78,1),(81,1),(131,1)}
       103:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(90,1),(121,1),(131,1),(132,1),(142,1),(171,1),(179,1)}
       104:{1,2,5,6}:{(79,1),(91,1),(122,1),(132,1),(186,1),(202,1)}
       105:{1,2,3,6}:{(80,1),(123,1),(128,1),(134,1),(205,1)}
       106:{2,3,4,6}:{(81,1),(129,1),(134,1),(135,1),(174,1),(176,1),(180,1),(205,1)}
       107:{1,3,4,6}:{(80,1),(81,1),(92,1),(124,1),(130,1),(134,1),(136,1),(181,1)}
       108:{3,5}:{(81,1),(82,1)}
       109:{1,2,4,5,6}:{(82,1),(83,1),(94,1),(126,1),(132,1),(137,1),(138,1),(145,1),(170,1),(176,1),(183,1),(202,1)}
       110:{1,2,5,7}:{(83,1),(84,1),(95,1),(127,1)}
       111:{1,3,6,7}:{(85,1),(86,1),(88,1),(139,1),(181,1)}
       112:{3,4,6,7}:{(86,1),(87,1),(89,1),(139,1),(140,1),(143,1)}
       113:{2,4,5,7}:{(87,1),(140,1),(141,1)}
       114:{1,4,7}:{(88,1),(89,1),(92,1)}
       115:{3,4,5,7}:{(89,1),(90,1),(93,1),(131,1),(140,1),(142,1),(143,1)}
       116:{2,4,6}:{(90,1),(91,1),(143,1)}
       117:{2,3,5,6,7}:{(91,1),(95,1),(133,1),(144,1),(182,1),(187,1)}
       118:{1,4,5}:{(92,1),(93,1),(136,1)}
       119:{3,4,5,6}:{(93,1),(94,1),(137,1),(143,1),(145,1),(146,1)}
       120:{2,4,5,7}:{(94,1),(95,1),(144,1),(146,1)}
       121:{1,4,5,7}:{(96,1),(98,1),(147,1),(148,1),(154,1)}
       122:{1,3,5,6}:{(96,1),(104,1),(148,1),(158,1),(189,1)}
       123:{1,2,3,5}:{(97,1),(105,1),(150,1),(160,1),(193,1)}
       124:{1,3,4}:{(97,1),(150,1)}
       125:{3,4,5}:{(98,1),(108,1),(151,1),(153,1)}
       126:{1,4,6}:{(98,1),(99,1),(153,1),(154,1)}
       127:{1,3,5,7}:{(99,1),(100,1),(110,1),(154,1),(163,1)}
       128:{1,2,3,7}:{(101,1),(105,1),(155,1),(209,1)}
       129:{2,3,4,7}:{(102,1),(106,1),(155,1),(156,1),(195,1),(209,1)}
       130:{1,3,4,7}:{(101,1),(102,1),(107,1),(114,1),(155,1),(157,1)}
       131:{3,5,7}:{(102,1),(103,1),(108,1),(158,1)}
       132:{1,2,4,6}:{(103,1),(104,1),(116,1),(148,1),(158,1),(167,1),(191,1),(197,1)}
       133:{1,2,5,6,7}:{(104,1),(110,1),(117,1),(149,1),(159,1),(201,1),(208,1)}
       134:{1,2,4,6}:{(105,1),(106,1),(107,1),(150,1),(155,1),(160,1),(197,1)}
       135:{2,3,5}:{(106,1),(108,1),(151,1),(160,1)}
       136:{1,3,5}:{(107,1),(108,1),(118,1),(160,1)}
       137:{3,5,6}:{(108,1),(109,1),(153,1),(158,1),(163,1)}
       138:{1,2,4,5,7}:{(109,1),(110,1),(120,1),(154,1),(159,1),(163,1),(169,1),(190,1),(195,1),(200,1),(208,1)}
       139:{1,4,6,7}:{(111,1),(112,1),(114,1),(164,1),(167,1)}
       140:{3,5,7}:{(112,1),(113,1),(164,1),(165,1)}
       141:{2,4,5,6}:{(113,1),(116,1),(165,1)}
       142:{1,4,5,7}:{(114,1),(115,1),(118,1),(157,1),(164,1),(167,1)}
       143:{3,4,6}:{(115,1),(116,1),(158,1),(165,1),(167,1)}
       144:{2,4,6,7}:{(116,1),(117,1),(120,1),(168,1)}
       145:{1,4,5,6}:{(118,1),(119,1),(162,1),(167,1),(169,1)}
       146:{3,4,5,7}:{(119,1),(120,1),(163,1),(168,1),(169,1)}
       147:{3,4,5,7}:{(121,1),(125,1),(131,1),(171,1),(172,1),(178,1),(203,1)}
       148:{1,4,6}:{(121,1),(122,1),(172,1)}
       149:{1,3,5,6,7}:{(122,1),(127,1),(133,1),(173,1),(182,1),(203,1)}
       150:{1,2,4}:{(123,1),(124,1),(174,1)}
       151:{2,4,5}:{(125,1),(135,1),(176,1)}
       152:{1,3,4,5}:{(124,1),(125,1),(136,1),(175,1),(177,1)}
       153:{3,4,6}:{(125,1),(126,1),(137,1),(176,1),(178,1)}
       154:{1,4,7}:{(126,1),(127,1),(178,1)}
       155:{1,2,4,7}:{(128,1),(129,1),(130,1),(134,1),(179,1)}
       156:{2,3,5,7}:{(129,1),(131,1),(135,1),(171,1),(179,1),(180,1)}
       157:{1,3,5,7}:{(130,1),(131,1),(136,1),(142,1),(179,1),(181,1)}
       158:{3,6}:{(131,1),(132,1)}
       159:{1,2,4,6,7}:{(132,1),(133,1),(138,1),(144,1),(173,1),(182,1),(188,1),(204,1),(207,1)}
       160:{1,2,5}:{(134,1),(135,1),(136,1)}
       161:{2,3,5,6}:{(135,1),(137,1),(176,1),(180,1),(183,1),(184,1),(202,1),(205,1)}
       162:{1,3,5,6}:{(136,1),(137,1),(145,1),(177,1),(181,1),(183,1),(185,1)}
       163:{3,5,7}:{(137,1),(138,1),(178,1),(182,1)}
       164:{1,5,7}:{(139,1),(140,1),(186,1)}
       165:{3,5,6}:{(140,1),(141,1),(143,1),(186,1)}
       166:{2,4,5,6,7}:{(141,1),(144,1),(187,1)}
       167:{1,4,6}:{(142,1),(143,1),(181,1),(186,1)}
       168:{3,4,6,7}:{(143,1),(144,1),(146,1),(182,1),(187,1),(188,1)}
       169:{1,4,5,7}:{(145,1),(146,1),(185,1),(188,1)}
       170:{1,4,5,6}:{(148,1),(189,1),(190,1)}
       171:{2,4,5,7}:{(147,1),(151,1),(156,1),(191,1),(195,1),(208,1)}
       172:{3,4,6}:{(147,1),(148,1),(158,1),(189,1),(191,1)}
       173:{1,4,6,7}:{(148,1),(149,1),(154,1),(190,1),(192,1)}
       174:{2,3,4}:{(150,1),(193,1)}
       175:{1,2,4,5}:{(150,1),(151,1),(152,1),(160,1),(193,1),(194,1)}
       176:{2,4,6}:{(151,1),(153,1),(161,1),(195,1)}
       177:{1,3,4,6}:{(152,1),(153,1),(162,1),(194,1),(196,1)}
       178:{3,4,7}:{(153,1),(154,1),(163,1),(195,1)}
       179:{1,2,5,7}:{(155,1),(156,1),(157,1),(160,1),(197,1)}
       180:{2,3,6}:{(156,1),(158,1),(191,1),(197,1)}
       181:{1,3,6}:{(157,1),(158,1),(167,1),(197,1)}
       182:{3,6,7}:{(158,1),(159,1),(163,1)}
       183:{1,2,5,6}:{(160,1),(161,1),(162,1),(194,1),(197,1),(200,1)}
       184:{2,3,5,7}:{(161,1),(163,1),(195,1),(198,1),(200,1),(208,1),(209,1)}
       185:{1,3,5,7}:{(162,1),(163,1),(169,1),(196,1),(199,1),(200,1)}
       186:{1,5,6}:{(164,1),(165,1),(167,1)}
       187:{3,5,6,7}:{(165,1),(166,1),(168,1),(201,1)}
       188:{1,4,6,7}:{(167,1),(168,1),(169,1),(199,1),(201,1)}
       189:{3,5,6}:{(170,1),(172,1),(202,1),(203,1)}
       190:{1,4,5,7}:{(170,1),(173,1),(203,1)}
       191:{2,4,6}:{(171,1),(172,1),(180,1),(202,1)}
       192:{3,4,6,7}:{(172,1),(173,1),(178,1),(182,1),(203,1),(204,1)}
       193:{2,3,5}:{(174,1),(175,1),(205,1)}
       194:{1,2,4,6}:{(175,1),(176,1),(177,1),(183,1),(205,1),(206,1)}
       195:{2,4,7}:{(176,1),(178,1),(184,1)}
       196:{1,3,4,7}:{(177,1),(178,1),(185,1),(206,1)}
       197:{1,2,6}:{(179,1),(180,1),(181,1)}
       198:{2,3,6,7}:{(180,1),(182,1),(184,1),(204,1),(207,1)}
       199:{1,3,6,7}:{(181,1),(182,1),(185,1),(188,1),(207,1)}
       200:{1,2,5,7}:{(183,1),(184,1),(185,1),(206,1),(207,1)}
       201:{1,5,6,7}:{(186,1),(187,1),(188,1)}
       202:{2,5,6}:{(189,1),(191,1),(208,1)}
       203:{3,5,7}:{(189,1),(190,1),(192,1),(208,1)}
       204:{2,4,6,7}:{(191,1),(192,1),(195,1),(198,1),(208,1)}
       205:{2,3,6}:{(193,1),(194,1),(209,1)}
       206:{1,2,4,7}:{(194,1),(195,1),(196,1),(200,1),(209,1)}
       207:{1,2,6,7}:{(197,1),(198,1),(199,1),(200,1)}
       208:{2,5,7}:{(202,1),(203,1),(204,1)}
       209:{2,3,7}:{(205,1),(206,1)}

1077 :   0:{1,2,4,5,6}:{(1,1),(2,1),(10,1),(11,1),(13,1),(40,1),(78,1),(79,1),(80,1),(81,1),(99,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(59,1),(90,1),(101,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(26,1),(27,1),(29,1),(66,1),(67,1),(68,1)}
         3:{3,4,6}:{(1,1),(9,1),(10,1),(11,1),(12,1),(44,1),(76,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(13,1),(14,1),(37,1),(44,1),(51,1),(74,1),(79,1),(85,1),(97,1),(99,1)}
         5:{2,3,5,6}:{(1,1),(11,1),(13,1),(15,1),(18,1),(44,1),(53,1),(72,1),(80,1),(95,1),(97,1),(103,1)}
         6:{3,5,7}:{(1,1),(2,1),(12,1),(16,1)}
         7:{1,2,4,6,7}:{(2,1),(16,1),(17,1),(46,1),(47,1),(49,1),(50,1),(78,1)}
         8:{2,3,4,6}:{(11,1),(18,1),(19,1),(20,1),(44,1),(53,1),(76,1),(96,1)}
         9:{3,4,5}:{(3,1),(22,1),(23,1),(59,1),(101,1)}
        10:{1,4,6}:{(3,1),(4,1),(22,1),(26,1),(69,1),(102,1)}
        11:{2,4,6}:{(3,1),(5,1),(23,1),(27,1),(86,1),(102,1)}
        12:{3,4,7}:{(3,1),(6,1),(26,1),(27,1),(64,1)}
        13:{1,2,5,6}:{(4,1),(5,1),(25,1),(29,1),(33,1),(55,1),(71,1),(88,1)}
        14:{1,3,5,7}:{(4,1),(6,1),(26,1),(29,1),(30,1),(64,1),(66,1),(92,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(27,1),(29,1),(31,1),(64,1),(67,1),(92,1)}
        16:{3,6,7}:{(6,1),(7,1),(90,1)}
        17:{1,2,5,6,7}:{(7,1),(32,1),(66,1),(67,1),(91,1)}
        18:{2,3,5}:{(8,1),(23,1),(33,1),(59,1),(101,1)}
        19:{1,2,4,6}:{(8,1),(33,1),(35,1),(36,1),(69,1),(71,1),(93,1)}
        20:{2,3,4,7}:{(8,1),(27,1),(34,1),(36,1),(64,1),(89,1)}
        21:{1,3,4,6}:{(10,1),(37,1),(38,1),(39,1),(44,1),(74,1),(76,1),(96,1)}
        22:{1,4,5}:{(9,1),(10,1),(37,1),(99,1),(104,1)}
        23:{2,4,5}:{(9,1),(11,1),(18,1),(103,1),(104,1)}
        24:{3,4,5,7}:{(9,1),(12,1),(41,1),(42,1),(43,1),(48,1),(77,1),(98,1),(104,1)}
        25:{1,2,4,6}:{(10,1),(11,1),(13,1),(40,1),(44,1),(45,1)}
        26:{1,4,7}:{(10,1),(12,1),(14,1),(98,1)}
        27:{2,4,7}:{(11,1),(12,1),(15,1),(98,1)}
        28:{3,4,6,7}:{(12,1),(16,1),(43,1),(46,1),(47,1),(48,1),(50,1),(82,1),(96,1),(98,1)}
        29:{1,2,5,7}:{(13,1),(14,1),(15,1),(45,1),(49,1)}
        30:{1,3,6,7}:{(14,1),(16,1),(46,1),(49,1),(74,1),(82,1),(85,1)}
        31:{2,3,6,7}:{(15,1),(16,1),(47,1),(49,1),(53,1),(82,1),(95,1)}
        32:{3,5,6,7}:{(16,1),(17,1),(48,1),(50,1),(97,1)}
        33:{1,2,5}:{(18,1),(19,1),(51,1),(99,1)}
        34:{2,3,5,7}:{(18,1),(20,1),(42,1),(52,1),(53,1),(77,1)}
        35:{1,3,6}:{(19,1),(44,1),(51,1),(54,1)}
        36:{1,2,4,7}:{(19,1),(20,1),(52,1),(54,1),(84,1)}
        37:{1,3,5}:{(21,1),(22,1),(55,1),(59,1),(101,1)}
        38:{1,2,4,6}:{(21,1),(55,1),(57,1),(58,1),(86,1),(88,1),(100,1)}
        39:{1,3,4,7}:{(21,1),(26,1),(56,1),(58,1),(64,1),(89,1)}
        40:{1,2,4,5}:{(22,1),(23,1),(25,1),(33,1),(55,1),(59,1),(69,1),(86,1)}
        41:{1,4,5,7}:{(22,1),(24,1),(26,1),(56,1),(61,1),(66,1)}
        42:{2,4,5,7}:{(23,1),(24,1),(27,1),(34,1),(62,1),(67,1)}
        43:{3,4,6}:{(24,1),(61,1),(62,1),(63,1),(90,1),(102,1)}
        44:{3,6}:{(25,1),(59,1),(64,1)}
        45:{1,2,4,7}:{(25,1),(26,1),(27,1),(29,1),(64,1)}
        46:{1,4,6,7}:{(26,1),(28,1),(30,1),(61,1),(66,1),(93,1)}
        47:{2,4,6,7}:{(27,1),(28,1),(31,1),(62,1),(67,1),(100,1)}
        48:{3,5,7}:{(28,1),(63,1),(66,1),(67,1),(68,1),(101,1)}
        49:{1,2,6,7}:{(29,1),(30,1),(31,1),(71,1),(88,1)}
        50:{4,6,7}:{(32,1),(68,1),(102,1)}
        51:{1,3,5}:{(33,1),(35,1),(59,1),(69,1)}
        52:{1,2,5,7}:{(33,1),(34,1),(36,1),(70,1),(71,1)}
        53:{2,3,6}:{(34,1),(62,1),(71,1),(90,1)}
        54:{1,3,7}:{(35,1),(36,1),(64,1)}
        55:{1,2,5}:{(37,1),(38,1),(72,1),(103,1)}
        56:{1,3,5,7}:{(37,1),(39,1),(41,1),(73,1),(74,1),(77,1)}
        57:{2,3,6}:{(38,1),(44,1),(72,1),(75,1)}
        58:{1,2,4,7}:{(38,1),(39,1),(73,1),(75,1),(94,1)}
        59:{3,5}:{(40,1),(44,1),(76,1)}
        60:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(45,1),(52,1),(73,1),(77,1),(78,1),(83,1),(84,1),(94,1),(98,1),(99,1),(103,1),(104,1)}
        61:{1,4,6}:{(41,1),(43,1),(74,1),(79,1)}
        62:{2,4,6}:{(42,1),(43,1),(53,1),(80,1)}
        63:{3,5,6}:{(43,1),(48,1),(79,1),(80,1),(81,1)}
        64:{3,7}:{(44,1),(45,1)}
        65:{1,2,4,6,7}:{(45,1),(46,1),(47,1),(49,1),(78,1),(82,1),(83,1),(98,1)}
        66:{1,5,7}:{(46,1),(48,1),(79,1),(99,1)}
        67:{2,5,7}:{(47,1),(48,1),(80,1),(103,1)}
        68:{4,5,7}:{(48,1),(50,1),(81,1),(98,1),(104,1)}
        69:{1,4}:{(51,1),(76,1)}
        70:{1,3,5,7}:{(51,1),(52,1),(54,1),(77,1),(84,1),(85,1),(99,1)}
        71:{1,2,6}:{(52,1),(53,1),(85,1)}
        72:{2,3,5}:{(55,1),(57,1),(59,1),(86,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(58,1),(87,1),(88,1)}
        74:{1,3,6}:{(56,1),(61,1),(88,1),(90,1)}
        75:{2,3,7}:{(57,1),(58,1),(64,1)}
        76:{3,4}:{(59,1),(69,1),(86,1)}
        77:{3,5,7}:{(59,1),(60,1),(64,1),(89,1),(90,1),(101,1)}
        78:{1,2,4,6}:{(60,1),(61,1),(62,1),(71,1),(88,1),(90,1),(91,1),(93,1),(100,1),(102,1)}
        79:{1,5,6}:{(61,1),(63,1),(66,1)}
        80:{2,5,6}:{(62,1),(63,1),(67,1)}
        81:{4,5,6}:{(63,1),(68,1),(102,1)}
        82:{3,6,7}:{(64,1),(65,1),(90,1),(92,1)}
        83:{1,2,5,7}:{(65,1),(66,1),(67,1),(91,1),(92,1)}
        84:{1,4,7}:{(69,1),(70,1),(89,1),(93,1)}
        85:{1,3,6}:{(70,1),(71,1),(90,1),(93,1)}
        86:{2,4}:{(72,1),(76,1)}
        87:{2,3,5,7}:{(72,1),(73,1),(75,1),(77,1),(94,1),(95,1),(103,1)}
        88:{1,2,6}:{(73,1),(74,1),(95,1)}
        89:{3,4,7}:{(76,1),(77,1),(84,1),(94,1),(96,1),(98,1)}
        90:{3,6}:{(77,1),(78,1)}
        91:{1,2,5,6}:{(78,1),(79,1),(80,1),(83,1),(97,1),(99,1),(103,1)}
        92:{3,5,7}:{(82,1),(83,1),(97,1),(98,1)}
        93:{1,4,6}:{(84,1),(85,1),(96,1),(99,1)}
        94:{2,4,7}:{(86,1),(87,1),(89,1),(100,1)}
        95:{2,3,6}:{(87,1),(88,1),(90,1),(100,1)}
        96:{3,4,6}:{(89,1),(90,1),(93,1),(100,1),(101,1),(102,1)}
        97:{3,5,6}:{(90,1),(91,1),(92,1),(101,1),(102,1)}
        98:{4,7}:{(92,1),(102,1)}
        99:{1,5}:{(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(95,1),(96,1),(103,1)}
       101:{3,5}:{(96,1),(99,1),(103,1),(104,1)}
       102:{4,6}:{(97,1),(98,1),(104,1)}
       103:{2,5}:{(100,1),(101,1)}
       104:{4,5}:{(101,1),(102,1)}

1078 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(26,1),(160,1),(171,1),(207,1)}
         1:{1,3,4,5}:{(5,1),(6,1),(63,1),(68,1),(116,1)}
         2:{3,4,5,7}:{(0,1),(10,1),(11,1),(12,1),(43,1),(141,1)}
         3:{1,4,5,6}:{(0,1),(7,1),(11,1),(144,1),(197,1)}
         4:{2,4,5,6}:{(0,1),(8,1),(12,1),(181,1),(216,1)}
         5:{1,3,4,6}:{(1,1),(7,1),(14,1),(15,1),(44,1)}
         6:{1,2,4,5}:{(1,1),(15,1),(16,1),(48,1),(79,1),(89,1)}
         7:{1,3,5,6}:{(3,1),(5,1),(18,1),(19,1),(26,1),(116,1),(175,1)}
         8:{2,3,5,6}:{(4,1),(17,1),(20,1),(21,1),(26,1),(155,1),(204,1)}
         9:{4,5,6,7}:{(22,1),(111,1),(226,1)}
        10:{3,4,6,7}:{(2,1),(22,1),(23,1),(24,1),(61,1),(111,1),(207,1)}
        11:{1,4,5,7}:{(2,1),(3,1),(18,1),(23,1)}
        12:{2,4,5,7}:{(2,1),(4,1),(20,1),(24,1)}
        13:{1,2,4,5,6}:{(3,1),(4,1),(19,1),(21,1),(25,1),(26,1),(56,1),(59,1),(104,1),(165,1),(167,1),(169,1),(171,1)}
        14:{1,3,4,7}:{(5,1),(18,1),(27,1),(62,1)}
        15:{1,2,4,6}:{(5,1),(6,1),(19,1),(27,1),(28,1),(56,1)}
        16:{2,3,5}:{(6,1),(28,1),(30,1)}
        17:{2,3,4,6}:{(8,1),(31,1),(32,1),(33,1),(44,1)}
        18:{1,3,5,7}:{(7,1),(11,1),(14,1),(34,1),(35,1),(43,1)}
        19:{1,2,5,6}:{(7,1),(15,1),(35,1),(36,1),(89,1),(147,1)}
        20:{2,3,5,7}:{(8,1),(12,1),(32,1),(37,1),(38,1),(43,1)}
        21:{1,2,5,6}:{(8,1),(33,1),(38,1),(39,1),(127,1),(184,1)}
        22:{3,5,6,7}:{(9,1),(10,1),(40,1),(41,1),(219,1)}
        23:{1,4,6,7}:{(10,1),(11,1),(34,1),(40,1),(197,1)}
        24:{2,4,6,7}:{(10,1),(12,1),(37,1),(41,1),(216,1)}
        25:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(35,1),(38,1),(42,1),(43,1),(78,1),(81,1),(135,1),(138,1),(141,1)}
        26:{3,5,6}:{(13,1),(43,1),(44,1),(131,1),(190,1)}
        27:{1,2,4,7}:{(14,1),(15,1),(35,1),(46,1),(78,1)}
        28:{2,3,6}:{(15,1),(16,1),(46,1)}
        29:{1,2,3,5}:{(16,1),(45,1),(48,1),(89,1),(92,1)}
        30:{2,3,4}:{(16,1),(48,1)}
        31:{2,3,4,5}:{(17,1),(50,1),(63,1),(151,1),(155,1)}
        32:{2,3,4,7}:{(17,1),(20,1),(51,1),(62,1)}
        33:{1,2,4,6}:{(17,1),(21,1),(50,1),(51,1),(52,1),(59,1)}
        34:{1,3,6,7}:{(18,1),(23,1),(54,1),(61,1),(175,1)}
        35:{1,2,5,7}:{(18,1),(19,1),(27,1),(54,1),(55,1)}
        36:{2,3,5,6}:{(19,1),(26,1),(28,1),(55,1),(56,1),(67,1),(119,1),(167,1)}
        37:{2,3,6,7}:{(20,1),(24,1),(57,1),(61,1),(204,1)}
        38:{1,2,5,7}:{(20,1),(21,1),(51,1),(57,1),(58,1)}
        39:{1,3,5,6}:{(21,1),(26,1),(52,1),(58,1),(59,1),(100,1),(158,1),(169,1)}
        40:{1,5,6,7}:{(22,1),(23,1),(213,1)}
        41:{2,5,6,7}:{(22,1),(24,1),(224,1)}
        42:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(54,1),(57,1),(60,1),(61,1),(105,1),(108,1),(111,1),(165,1)}
        43:{3,5,7}:{(25,1),(26,1),(61,1),(62,1)}
        44:{3,4,6}:{(26,1),(56,1),(59,1),(62,1),(63,1)}
        45:{1,2,3,6}:{(28,1),(29,1),(64,1),(65,1),(121,1)}
        46:{2,3,7}:{(27,1),(28,1)}
        47:{2,3,4,6}:{(28,1),(30,1),(56,1),(65,1),(66,1),(67,1),(101,1),(119,1)}
        48:{1,2,4}:{(29,1),(30,1),(68,1)}
        49:{2,3,4,5}:{(30,1),(67,1),(69,1),(70,1),(160,1)}
        50:{1,2,4,5}:{(31,1),(33,1),(71,1),(82,1),(123,1),(127,1)}
        51:{1,2,4,7}:{(32,1),(33,1),(38,1),(73,1),(81,1)}
        52:{1,3,6}:{(33,1),(71,1),(73,1)}
        53:{1,2,3,5,6}:{(36,1),(39,1),(45,1),(72,1),(75,1),(76,1),(89,1),(127,1),(131,1),(146,1),(147,1),(183,1),(184,1),(190,1),(192,1)}
        54:{1,2,6,7}:{(34,1),(35,1),(77,1),(147,1)}
        55:{2,3,5,7}:{(35,1),(36,1),(43,1),(46,1),(77,1),(78,1),(135,1)}
        56:{2,4,6}:{(36,1),(44,1),(78,1),(79,1)}
        57:{1,2,6,7}:{(37,1),(38,1),(80,1),(184,1)}
        58:{1,3,5,7}:{(38,1),(39,1),(43,1),(73,1),(80,1),(81,1),(138,1)}
        59:{1,4,6}:{(39,1),(44,1),(81,1),(82,1)}
        60:{1,2,5,6,7}:{(40,1),(41,1),(42,1),(83,1),(135,1),(138,1),(192,1)}
        61:{3,6,7}:{(42,1),(43,1),(190,1)}
        62:{3,4,7}:{(43,1),(44,1),(78,1),(81,1)}
        63:{3,4,5}:{(44,1),(79,1),(82,1),(131,1)}
        64:{1,2,3,7}:{(45,1),(46,1),(88,1),(150,1)}
        65:{1,2,4,6}:{(45,1),(47,1),(48,1),(87,1),(88,1),(89,1),(147,1)}
        66:{2,3,4,7}:{(46,1),(47,1),(78,1),(88,1),(90,1),(130,1)}
        67:{2,3,5}:{(47,1),(79,1),(89,1),(131,1)}
        68:{1,3,4}:{(48,1),(92,1)}
        69:{1,2,4,5}:{(48,1),(49,1),(89,1),(92,1),(93,1),(144,1)}
        70:{2,3,4,6}:{(49,1),(91,1),(93,1),(94,1),(188,1)}
        71:{1,3,5}:{(50,1),(52,1),(96,1)}
        72:{1,2,3,6}:{(52,1),(95,1),(97,1),(98,1),(200,1)}
        73:{1,3,7}:{(51,1),(52,1)}
        74:{1,3,4,6}:{(52,1),(59,1),(96,1),(98,1),(99,1),(100,1),(101,1),(158,1)}
        75:{1,2,3,5,7}:{(53,1),(55,1),(58,1),(64,1),(97,1),(102,1),(103,1),(117,1),(156,1),(162,1),(164,1),(176,1),(205,1)}
        76:{1,2,4,6}:{(53,1),(56,1),(59,1),(101,1),(103,1),(104,1),(174,1),(203,1)}
        77:{2,3,6,7}:{(54,1),(55,1),(61,1),(105,1),(119,1)}
        78:{2,4,7}:{(55,1),(56,1),(62,1)}
        79:{2,4,5}:{(56,1),(63,1),(67,1)}
        80:{1,3,6,7}:{(57,1),(58,1),(61,1),(108,1),(158,1)}
        81:{1,4,7}:{(58,1),(59,1),(62,1)}
        82:{1,4,5}:{(59,1),(63,1),(100,1)}
        83:{3,5,6,7}:{(60,1),(61,1),(111,1),(112,1),(210,1)}
        84:{3,4,6,7}:{(61,1),(62,1),(105,1),(108,1),(111,1),(112,1),(113,1)}
        85:{3,4,5,7}:{(62,1),(63,1),(106,1),(109,1),(112,1),(113,1),(162,1),(209,1)}
        86:{3,4,5,6}:{(63,1),(107,1),(110,1),(113,1),(114,1),(163,1),(226,1)}
        87:{1,3,4,6}:{(65,1),(68,1),(101,1),(115,1),(116,1),(121,1),(174,1),(175,1)}
        88:{1,2,4,7}:{(64,1),(65,1),(66,1),(115,1),(117,1)}
        89:{1,2,5}:{(65,1),(67,1),(116,1)}
        90:{2,3,5,7}:{(66,1),(67,1),(106,1),(117,1),(119,1),(162,1)}
        91:{2,3,5,6}:{(67,1),(70,1),(107,1),(118,1),(119,1),(120,1),(163,1)}
        92:{1,3,5}:{(68,1),(69,1),(121,1)}
        93:{1,2,4,6}:{(69,1),(70,1),(118,1),(121,1),(122,1),(174,1)}
        94:{2,3,4,7}:{(70,1),(120,1),(122,1),(208,1)}
        95:{1,2,3,5}:{(71,1),(72,1),(123,1),(127,1),(178,1)}
        96:{1,3,4}:{(71,1),(123,1)}
        97:{1,2,3,7}:{(72,1),(73,1),(126,1),(215,1)}
        98:{1,2,4,6}:{(72,1),(74,1),(123,1),(125,1),(126,1),(127,1),(184,1)}
        99:{1,3,4,7}:{(73,1),(74,1),(81,1),(126,1),(128,1),(130,1)}
       100:{1,3,5}:{(74,1),(82,1),(127,1),(131,1)}
       101:{3,4,6}:{(76,1),(130,1),(131,1),(190,1)}
       102:{1,2,3,6,7}:{(75,1),(77,1),(80,1),(132,1),(147,1),(184,1),(190,1),(199,1),(218,1)}
       103:{1,2,4,7}:{(75,1),(76,1),(78,1),(81,1),(130,1),(198,1),(217,1)}
       104:{1,2,4,5}:{(76,1),(79,1),(82,1),(89,1),(127,1),(131,1),(144,1),(181,1)}
       105:{2,4,6,7}:{(77,1),(78,1),(84,1),(135,1),(136,1)}
       106:{2,4,5,7}:{(78,1),(79,1),(85,1),(90,1),(135,1),(136,1)}
       107:{2,4,5,6}:{(79,1),(86,1),(91,1),(136,1),(137,1)}
       108:{1,4,6,7}:{(80,1),(81,1),(84,1),(138,1),(139,1)}
       109:{1,4,5,7}:{(81,1),(82,1),(85,1),(128,1),(138,1),(139,1)}
       110:{1,4,5,6}:{(82,1),(86,1),(129,1),(139,1),(140,1)}
       111:{4,6,7}:{(83,1),(141,1),(221,1)}
       112:{3,5,7}:{(84,1),(135,1),(138,1),(141,1),(142,1)}
       113:{3,4,6}:{(85,1),(136,1),(139,1),(142,1),(190,1),(221,1)}
       114:{3,4,5,7}:{(86,1),(137,1),(140,1),(143,1),(191,1),(230,1)}
       115:{1,3,4,7}:{(87,1),(88,1),(130,1),(145,1),(150,1),(198,1)}
       116:{1,3,5}:{(87,1),(89,1),(131,1),(144,1)}
       117:{1,2,5,7}:{(88,1),(89,1),(90,1),(145,1),(147,1)}
       118:{1,2,5,6}:{(89,1),(91,1),(93,1),(146,1),(147,1),(148,1)}
       119:{2,3,6}:{(90,1),(136,1),(147,1),(190,1)}
       120:{2,3,5,7}:{(91,1),(94,1),(137,1),(148,1),(149,1),(191,1)}
       121:{1,3,6}:{(92,1),(93,1),(150,1)}
       122:{1,2,4,7}:{(93,1),(94,1),(148,1),(150,1),(198,1)}
       123:{1,2,4}:{(95,1),(96,1),(151,1)}
       124:{1,3,4,5}:{(96,1),(100,1),(152,1),(153,1),(160,1)}
       125:{2,3,4,6}:{(98,1),(101,1),(151,1),(154,1),(155,1),(200,1),(203,1),(204,1)}
       126:{1,2,4,7}:{(97,1),(98,1),(99,1),(154,1),(156,1)}
       127:{1,2,5}:{(98,1),(100,1),(155,1)}
       128:{1,3,5,7}:{(99,1),(100,1),(109,1),(156,1),(158,1),(162,1)}
       129:{1,3,5,6}:{(100,1),(110,1),(153,1),(157,1),(158,1),(159,1),(163,1)}
       130:{3,4,7}:{(101,1),(103,1),(162,1)}
       131:{3,5}:{(101,1),(104,1)}
       132:{1,2,4,6,7}:{(102,1),(103,1),(105,1),(108,1),(161,1),(164,1),(165,1),(214,1),(225,1)}
       133:{1,2,4,5,7}:{(103,1),(104,1),(106,1),(109,1),(117,1),(156,1),(162,1),(164,1),(165,1),(173,1),(202,1),(209,1)}
       134:{1,2,4,5,6}:{(104,1),(107,1),(110,1),(118,1),(157,1),(163,1),(165,1),(166,1),(174,1),(203,1),(213,1),(224,1),(226,1)}
       135:{2,5,7}:{(105,1),(112,1),(167,1)}
       136:{2,4,6}:{(106,1),(113,1),(119,1),(167,1)}
       137:{2,4,5,7}:{(107,1),(114,1),(120,1),(168,1)}
       138:{1,5,7}:{(108,1),(112,1),(169,1)}
       139:{1,4,6}:{(109,1),(113,1),(158,1),(169,1)}
       140:{1,4,5,7}:{(110,1),(114,1),(159,1),(170,1)}
       141:{4,5,7}:{(111,1),(112,1),(171,1)}
       142:{3,5,6}:{(112,1),(113,1),(167,1),(169,1),(171,1)}
       143:{3,4,6,7}:{(113,1),(114,1),(168,1),(170,1),(172,1),(211,1),(228,1)}
       144:{1,4,5}:{(116,1),(160,1),(174,1)}
       145:{1,3,5,7}:{(115,1),(116,1),(117,1),(162,1),(173,1),(175,1)}
       146:{1,3,5,6}:{(116,1),(118,1),(121,1),(163,1),(174,1),(175,1),(176,1),(213,1)}
       147:{1,2,6}:{(117,1),(119,1),(175,1)}
       148:{1,2,5,7}:{(118,1),(120,1),(122,1),(176,1),(177,1)}
       149:{2,3,6,7}:{(119,1),(120,1),(168,1),(177,1),(211,1)}
       150:{1,3,7}:{(121,1),(122,1)}
       151:{2,3,4}:{(123,1),(178,1)}
       152:{1,2,4,5}:{(123,1),(124,1),(127,1),(178,1),(179,1),(181,1)}
       153:{1,3,4,6}:{(124,1),(129,1),(179,1),(180,1),(188,1)}
       154:{2,3,4,7}:{(125,1),(126,1),(130,1),(182,1),(215,1),(217,1)}
       155:{2,3,5}:{(125,1),(127,1),(131,1),(181,1)}
       156:{1,2,5,7}:{(126,1),(127,1),(128,1),(182,1),(184,1)}
       157:{1,2,5,6}:{(127,1),(129,1),(179,1),(183,1),(184,1),(185,1)}
       158:{1,3,6}:{(128,1),(139,1),(184,1),(190,1)}
       159:{1,3,5,7}:{(129,1),(140,1),(180,1),(185,1),(186,1),(191,1)}
       160:{3,4,5}:{(131,1),(144,1),(181,1),(188,1)}
       161:{3,4,6,7}:{(130,1),(132,1),(189,1),(190,1),(221,1)}
       162:{3,5,7}:{(130,1),(131,1),(133,1),(190,1)}
       163:{3,5,6}:{(131,1),(134,1),(188,1),(190,1),(191,1)}
       164:{1,2,5,7}:{(132,1),(135,1),(138,1),(189,1),(192,1),(223,1),(229,1)}
       165:{1,2,4,6}:{(133,1),(136,1),(139,1),(147,1),(184,1),(190,1),(192,1),(197,1),(216,1),(221,1)}
       166:{1,2,4,5,7}:{(134,1),(137,1),(140,1),(148,1),(185,1),(191,1),(193,1),(198,1),(217,1),(223,1),(229,1),(230,1)}
       167:{2,5,6}:{(135,1),(136,1),(142,1)}
       168:{2,4,6,7}:{(136,1),(137,1),(143,1),(149,1),(194,1)}
       169:{1,5,6}:{(138,1),(139,1),(142,1)}
       170:{1,4,6,7}:{(139,1),(140,1),(143,1),(186,1),(195,1)}
       171:{4,5,6}:{(141,1),(142,1),(221,1)}
       172:{3,5,6,7}:{(142,1),(143,1),(194,1),(195,1),(196,1)}
       173:{1,4,5,7}:{(144,1),(145,1),(187,1),(197,1),(198,1),(223,1)}
       174:{1,4,6}:{(144,1),(146,1),(188,1),(198,1)}
       175:{1,3,6}:{(145,1),(147,1),(190,1),(197,1)}
       176:{1,3,5,7}:{(146,1),(148,1),(150,1),(191,1),(198,1),(199,1),(223,1)}
       177:{1,2,6,7}:{(147,1),(148,1),(149,1),(199,1)}
       178:{2,3,5}:{(151,1),(152,1),(200,1)}
       179:{1,2,4,6}:{(152,1),(153,1),(157,1),(200,1),(201,1),(203,1)}
       180:{1,3,4,7}:{(153,1),(159,1),(201,1),(208,1)}
       181:{2,4,5}:{(155,1),(160,1),(203,1)}
       182:{2,3,5,7}:{(154,1),(155,1),(156,1),(162,1),(202,1),(204,1)}
       183:{2,3,5,6}:{(155,1),(157,1),(163,1),(200,1),(203,1),(204,1),(205,1),(224,1)}
       184:{1,2,6}:{(156,1),(158,1),(204,1)}
       185:{1,2,5,7}:{(157,1),(159,1),(201,1),(205,1),(206,1)}
       186:{1,3,6,7}:{(158,1),(159,1),(170,1),(206,1),(211,1)}
       187:{3,4,5,7}:{(160,1),(162,1),(173,1),(202,1),(207,1),(208,1),(209,1),(227,1)}
       188:{3,4,6}:{(160,1),(163,1),(174,1),(203,1),(208,1)}
       189:{3,5,7}:{(161,1),(164,1),(209,1),(210,1)}
       190:{3,6}:{(162,1),(165,1)}
       191:{3,5,7}:{(163,1),(166,1),(208,1),(211,1)}
       192:{1,2,5,6}:{(164,1),(165,1),(167,1),(169,1),(210,1),(213,1),(224,1)}
       193:{1,2,4,6,7}:{(165,1),(166,1),(168,1),(170,1),(177,1),(206,1),(211,1),(212,1),(214,1),(225,1),(228,1)}
       194:{2,5,6,7}:{(167,1),(168,1),(172,1)}
       195:{1,5,6,7}:{(169,1),(170,1),(172,1)}
       196:{4,5,6,7}:{(171,1),(172,1),(228,1)}
       197:{1,4,6}:{(173,1),(175,1),(207,1),(213,1)}
       198:{1,4,7}:{(174,1),(176,1),(208,1)}
       199:{1,3,6,7}:{(175,1),(176,1),(177,1),(211,1),(214,1)}
       200:{2,3,6}:{(178,1),(179,1),(215,1)}
       201:{1,2,4,7}:{(179,1),(180,1),(185,1),(215,1),(217,1)}
       202:{2,4,5,7}:{(181,1),(182,1),(187,1),(216,1),(217,1),(229,1)}
       203:{2,4,6}:{(181,1),(183,1),(188,1),(217,1)}
       204:{2,3,6}:{(182,1),(184,1),(190,1),(216,1)}
       205:{2,3,5,7}:{(183,1),(185,1),(191,1),(215,1),(217,1),(218,1),(229,1)}
       206:{1,2,6,7}:{(184,1),(185,1),(186,1),(218,1)}
       207:{3,4,6}:{(187,1),(190,1),(197,1),(216,1),(219,1),(221,1)}
       208:{3,4,7}:{(188,1),(191,1),(198,1),(217,1)}
       209:{4,5,7}:{(189,1),(221,1)}
       210:{3,5,6}:{(189,1),(190,1),(192,1),(221,1)}
       211:{3,6,7}:{(190,1),(191,1),(193,1)}
       212:{1,2,5,6,7}:{(192,1),(193,1),(194,1),(195,1),(222,1),(223,1),(229,1)}
       213:{1,5,6}:{(197,1),(219,1),(223,1)}
       214:{1,4,6,7}:{(197,1),(198,1),(199,1),(220,1),(223,1)}
       215:{2,3,7}:{(200,1),(201,1)}
       216:{2,4,6}:{(202,1),(204,1),(207,1),(224,1)}
       217:{2,4,7}:{(203,1),(205,1),(208,1)}
       218:{2,3,6,7}:{(204,1),(205,1),(206,1),(211,1),(225,1)}
       219:{3,5,6}:{(207,1),(213,1),(224,1),(226,1),(227,1)}
       220:{3,4,6,7}:{(207,1),(208,1),(211,1),(214,1),(225,1),(227,1),(228,1)}
       221:{4,6}:{(209,1),(210,1)}
       222:{3,5,6,7}:{(210,1),(211,1),(212,1),(227,1),(228,1)}
       223:{1,5,7}:{(213,1),(214,1),(227,1)}
       224:{2,5,6}:{(216,1),(219,1),(229,1)}
       225:{2,4,6,7}:{(216,1),(217,1),(218,1),(220,1),(229,1)}
       226:{4,5,6}:{(219,1),(221,1),(230,1)}
       227:{3,5,7}:{(219,1),(220,1),(223,1),(229,1),(230,1)}
       228:{4,6,7}:{(221,1),(222,1),(230,1)}
       229:{2,5,7}:{(224,1),(225,1),(227,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

1079 :   0:{1,4,5,6,7}:{(1,1),(8,1),(194,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(4,1),(202,1)}
         2:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(31,1),(192,1)}
         3:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(26,1),(31,1),(160,1)}
         4:{2,5,6,7}:{(1,1),(9,1),(206,1)}
         5:{3,4,5,6}:{(7,1),(11,1),(12,1),(36,1),(165,1),(192,1)}
         6:{1,3,4,5,7}:{(13,1),(14,1),(26,1),(61,1),(71,1),(74,1),(106,1),(120,1),(155,1),(159,1)}
         7:{3,4,5,7}:{(2,1),(5,1),(15,1),(16,1),(44,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(179,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(18,1),(200,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(19,1),(20,1),(42,1),(85,1),(135,1)}
        11:{1,4,5,6}:{(5,1),(15,1),(21,1),(145,1),(179,1)}
        12:{2,4,5,6}:{(5,1),(16,1),(22,1),(181,1),(200,1)}
        13:{1,3,4,6}:{(6,1),(21,1),(24,1),(52,1),(132,1),(177,1),(179,1)}
        14:{1,2,4,5,7}:{(6,1),(24,1),(25,1),(42,1),(55,1),(80,1),(91,1),(95,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(11,1),(26,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(12,1),(27,1)}
        17:{1,3,4,6,7}:{(8,1),(13,1),(26,1),(29,1),(31,1),(61,1),(64,1)}
        18:{2,3,6,7}:{(9,1),(27,1),(30,1),(31,1),(190,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(28,1),(30,1),(31,1),(32,1),(64,1),(156,1)}
        20:{2,3,5,6,7}:{(10,1),(31,1),(32,1),(59,1),(65,1),(110,1)}
        21:{1,3,5,6}:{(11,1),(13,1),(26,1),(34,1),(36,1),(111,1),(120,1)}
        22:{2,3,5,6}:{(12,1),(27,1),(33,1),(35,1),(36,1),(162,1),(190,1)}
        23:{1,2,4,5,6}:{(11,1),(12,1),(28,1),(34,1),(35,1),(36,1),(66,1),(69,1),(70,1),(111,1),(116,1),(156,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(34,1),(37,1),(69,1)}
        25:{2,3,5,7}:{(14,1),(37,1),(39,1),(73,1),(155,1)}
        26:{1,3,5,7}:{(15,1),(17,1),(21,1),(42,1),(44,1),(85,1)}
        27:{2,3,5,7}:{(16,1),(18,1),(22,1),(41,1),(43,1),(44,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(19,1),(23,1),(42,1),(43,1),(44,1),(48,1),(80,1),(81,1),(85,1)}
        29:{1,2,4,6,7}:{(17,1),(24,1),(42,1),(45,1),(80,1)}
        30:{1,2,6,7}:{(18,1),(43,1),(46,1),(174,1)}
        31:{3,6,7}:{(19,1),(44,1),(177,1)}
        32:{2,4,6,7}:{(20,1),(47,1),(48,1),(80,1),(131,1)}
        33:{2,3,4,6}:{(22,1),(40,1),(41,1),(49,1),(52,1)}
        34:{1,2,5,6}:{(21,1),(24,1),(42,1),(50,1),(95,1)}
        35:{1,2,5,6}:{(22,1),(43,1),(49,1),(51,1),(139,1),(174,1)}
        36:{3,5,6}:{(23,1),(44,1),(52,1),(141,1),(177,1)}
        37:{2,3,6}:{(24,1),(25,1),(177,1)}
        38:{1,2,3,5,7}:{(25,1),(53,1),(55,1),(95,1),(97,1)}
        39:{2,3,4,7}:{(25,1),(54,1),(55,1),(80,1),(129,1)}
        40:{2,3,4,5}:{(33,1),(57,1),(71,1),(149,1),(162,1)}
        41:{2,3,4,7}:{(27,1),(33,1),(58,1),(61,1)}
        42:{1,2,5,7}:{(26,1),(29,1),(34,1),(59,1)}
        43:{1,2,5,7}:{(27,1),(30,1),(35,1),(58,1),(60,1)}
        44:{3,5,7}:{(28,1),(31,1),(36,1),(61,1)}
        45:{2,3,6,7}:{(29,1),(31,1),(37,1),(59,1)}
        46:{1,3,6,7}:{(30,1),(31,1),(60,1),(64,1),(154,1)}
        47:{3,4,6,7}:{(31,1),(32,1),(61,1),(64,1),(65,1),(107,1)}
        48:{2,4,5,7}:{(32,1),(65,1),(66,1)}
        49:{1,2,4,6}:{(33,1),(35,1),(57,1),(58,1),(67,1),(70,1)}
        50:{2,3,5,6}:{(34,1),(36,1),(37,1),(59,1),(69,1),(73,1)}
        51:{1,3,5,6}:{(35,1),(36,1),(60,1),(67,1),(70,1),(111,1),(114,1),(154,1)}
        52:{3,4,6}:{(36,1),(61,1),(69,1),(70,1),(71,1)}
        53:{1,2,3,6}:{(37,1),(38,1),(72,1),(123,1)}
        54:{2,3,4,6}:{(37,1),(39,1),(69,1),(72,1),(73,1),(115,1)}
        55:{1,2,4,7}:{(38,1),(39,1),(72,1),(74,1)}
        56:{2,3,4,5,7}:{(39,1),(73,1),(75,1),(76,1),(105,1),(122,1),(155,1),(165,1),(189,1),(198,1)}
        57:{1,2,4,5}:{(40,1),(49,1),(77,1),(92,1),(125,1),(139,1)}
        58:{1,2,4,7}:{(41,1),(43,1),(49,1),(78,1),(81,1)}
        59:{2,3,5,7}:{(42,1),(44,1),(45,1),(50,1),(80,1)}
        60:{1,3,5,7}:{(43,1),(44,1),(46,1),(51,1),(78,1),(81,1),(85,1)}
        61:{3,4,7}:{(44,1),(52,1),(80,1),(81,1)}
        62:{1,2,3,6,7}:{(45,1),(46,1),(53,1),(79,1),(83,1),(148,1),(174,1),(177,1),(201,1)}
        63:{2,3,4,6,7}:{(45,1),(47,1),(54,1),(80,1),(83,1),(84,1),(129,1),(131,1),(177,1)}
        64:{1,4,6,7}:{(46,1),(47,1),(81,1),(85,1),(132,1)}
        65:{3,5,7}:{(47,1),(48,1),(85,1),(86,1)}
        66:{2,4,5,6}:{(48,1),(86,1),(131,1)}
        67:{1,3,6}:{(49,1),(77,1),(78,1)}
        68:{1,2,3,5,6}:{(50,1),(51,1),(53,1),(79,1),(88,1),(90,1),(95,1),(135,1),(139,1),(141,1),(146,1),(174,1),(177,1),(182,1)}
        69:{2,4,6}:{(50,1),(52,1),(80,1),(91,1)}
        70:{1,4,6}:{(51,1),(52,1),(81,1),(92,1)}
        71:{3,4,5}:{(52,1),(91,1),(92,1),(141,1)}
        72:{1,2,4,6}:{(53,1),(54,1),(55,1),(94,1),(95,1)}
        73:{2,3,5}:{(54,1),(91,1),(95,1),(141,1)}
        74:{1,3,4,7}:{(55,1),(94,1),(97,1),(129,1),(186,1)}
        75:{1,2,4,5,7}:{(55,1),(56,1),(95,1),(97,1),(98,1),(145,1),(147,1),(186,1)}
        76:{2,3,4,6}:{(56,1),(96,1),(98,1),(131,1),(177,1),(184,1),(200,1)}
        77:{1,3,5}:{(57,1),(67,1),(101,1)}
        78:{1,3,7}:{(58,1),(67,1)}
        79:{1,2,3,5,7}:{(59,1),(60,1),(62,1),(68,1),(102,1),(104,1),(109,1),(153,1),(155,1),(169,1),(197,1)}
        80:{2,4,7}:{(59,1),(61,1),(69,1)}
        81:{1,4,7}:{(60,1),(61,1),(70,1)}
        82:{3,4,5,7}:{(61,1),(65,1),(71,1),(105,1),(106,1),(107,1),(155,1)}
        83:{1,2,4,6,7}:{(62,1),(63,1),(64,1),(72,1),(104,1),(108,1),(109,1),(156,1),(207,1)}
        84:{2,3,5,7}:{(63,1),(65,1),(73,1),(105,1),(109,1),(110,1),(155,1)}
        85:{1,5,7}:{(64,1),(65,1),(111,1)}
        86:{3,5,6}:{(65,1),(66,1),(107,1),(111,1)}
        87:{2,4,5,6,7}:{(66,1),(112,1),(157,1)}
        88:{1,2,3,6}:{(67,1),(100,1),(102,1),(113,1),(187,1)}
        89:{1,3,4,6}:{(67,1),(70,1),(101,1),(103,1),(113,1),(114,1),(115,1),(154,1)}
        90:{1,2,4,6}:{(68,1),(69,1),(70,1),(104,1),(115,1),(116,1),(168,1),(196,1)}
        91:{2,4,5}:{(69,1),(71,1),(73,1)}
        92:{1,4,5}:{(70,1),(71,1),(114,1)}
        93:{3,4,5,6}:{(71,1),(107,1),(117,1),(118,1),(119,1),(166,1)}
        94:{1,3,4,6}:{(72,1),(74,1),(115,1),(120,1),(123,1),(168,1)}
        95:{1,2,5}:{(72,1),(73,1),(120,1)}
        96:{2,3,5,6}:{(73,1),(76,1),(117,1),(121,1),(122,1),(166,1),(206,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(120,1),(123,1),(155,1)}
        98:{1,2,4,6}:{(75,1),(76,1),(121,1),(123,1),(168,1)}
        99:{2,3,4,6,7}:{(76,1),(122,1),(124,1),(157,1),(193,1),(198,1),(207,1)}
       100:{1,2,3,5}:{(77,1),(88,1),(125,1),(139,1),(170,1)}
       101:{1,3,4}:{(77,1),(125,1)}
       102:{1,2,3,7}:{(78,1),(88,1),(127,1),(199,1)}
       103:{1,3,4,7}:{(78,1),(81,1),(89,1),(127,1),(128,1),(129,1)}
       104:{1,2,4,7}:{(79,1),(80,1),(81,1),(90,1),(129,1),(186,1),(205,1)}
       105:{2,4,5,7}:{(80,1),(82,1),(84,1),(91,1),(131,1)}
       106:{1,4,5,7}:{(81,1),(82,1),(85,1),(92,1),(128,1),(132,1)}
       107:{3,4,6}:{(82,1),(86,1),(131,1),(132,1),(177,1)}
       108:{1,3,4,6,7}:{(83,1),(94,1),(129,1),(134,1),(148,1),(177,1),(179,1),(186,1),(203,1)}
       109:{1,2,5,7}:{(83,1),(84,1),(85,1),(95,1),(134,1),(135,1),(209,1)}
       110:{2,3,5,6}:{(84,1),(86,1),(131,1),(135,1),(177,1)}
       111:{1,5,6}:{(85,1),(86,1),(132,1)}
       112:{3,5,6,7}:{(86,1),(87,1),(133,1),(137,1)}
       113:{1,2,4,6}:{(88,1),(89,1),(125,1),(127,1),(138,1),(139,1),(174,1)}
       114:{1,3,5}:{(89,1),(92,1),(139,1),(141,1)}
       115:{3,4,6}:{(90,1),(129,1),(141,1),(177,1)}
       116:{1,2,4,5}:{(90,1),(91,1),(92,1),(95,1),(139,1),(141,1),(145,1),(181,1)}
       117:{2,4,5,6}:{(91,1),(93,1),(96,1),(131,1),(143,1)}
       118:{1,4,5,6}:{(92,1),(93,1),(132,1),(140,1),(144,1)}
       119:{3,4,5,7}:{(93,1),(133,1),(143,1),(144,1),(185,1)}
       120:{1,3,5}:{(94,1),(95,1),(141,1),(145,1)}
       121:{1,2,5,6}:{(95,1),(96,1),(98,1),(146,1),(147,1)}
       122:{2,3,5,7}:{(96,1),(99,1),(143,1),(147,1),(185,1),(209,1)}
       123:{1,3,6}:{(97,1),(98,1),(177,1)}
       124:{1,2,4,6,7}:{(98,1),(99,1),(147,1),(148,1),(186,1)}
       125:{1,2,4}:{(100,1),(101,1),(149,1)}
       126:{1,3,4,5}:{(101,1),(114,1),(150,1),(151,1),(165,1)}
       127:{1,2,4,7}:{(102,1),(103,1),(113,1),(152,1),(153,1)}
       128:{1,3,5,7}:{(103,1),(106,1),(114,1),(153,1),(154,1),(155,1)}
       129:{3,4,7}:{(104,1),(115,1),(155,1)}
       130:{1,2,4,5,7}:{(104,1),(105,1),(106,1),(109,1),(116,1),(153,1),(155,1),(156,1),(159,1),(189,1)}
       131:{2,4,6}:{(105,1),(107,1),(110,1)}
       132:{1,4,6}:{(106,1),(107,1),(111,1),(154,1)}
       133:{3,4,6,7}:{(107,1),(112,1),(119,1),(157,1),(158,1),(193,1)}
       134:{1,3,5,7}:{(108,1),(109,1),(120,1),(155,1),(159,1),(160,1),(208,1)}
       135:{1,2,5,6}:{(109,1),(110,1),(111,1),(156,1),(160,1),(206,1)}
       136:{2,3,5,6,7}:{(110,1),(112,1),(122,1),(157,1),(161,1),(193,1)}
       137:{1,5,6,7}:{(111,1),(112,1),(158,1)}
       138:{2,3,4,6}:{(113,1),(115,1),(149,1),(152,1),(162,1),(187,1),(190,1),(196,1)}
       139:{1,2,5}:{(113,1),(114,1),(162,1)}
       140:{1,3,5,6}:{(114,1),(118,1),(151,1),(154,1),(163,1),(164,1),(166,1)}
       141:{3,5}:{(115,1),(116,1)}
       142:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(121,1),(156,1),(163,1),(166,1),(167,1),(168,1),(194,1),(196,1),(206,1)}
       143:{2,4,5,7}:{(117,1),(119,1),(122,1),(157,1)}
       144:{1,4,5,7}:{(118,1),(119,1),(158,1),(164,1)}
       145:{1,4,5}:{(120,1),(165,1),(168,1)}
       146:{1,3,5,6}:{(120,1),(121,1),(123,1),(166,1),(168,1),(169,1)}
       147:{1,2,5,7}:{(121,1),(122,1),(124,1),(169,1)}
       148:{1,3,6,7}:{(123,1),(124,1),(169,1),(193,1)}
       149:{2,3,4}:{(125,1),(170,1)}
       150:{1,2,4,5}:{(125,1),(126,1),(139,1),(170,1),(171,1),(181,1)}
       151:{1,3,4,6}:{(126,1),(140,1),(171,1),(172,1),(184,1)}
       152:{2,3,4,7}:{(127,1),(129,1),(138,1),(173,1),(199,1),(205,1)}
       153:{1,2,5,7}:{(127,1),(128,1),(139,1),(173,1),(174,1)}
       154:{1,3,6}:{(128,1),(132,1),(174,1),(177,1)}
       155:{3,5,7}:{(129,1),(130,1),(141,1),(177,1)}
       156:{1,2,4,6}:{(130,1),(131,1),(132,1),(135,1),(174,1),(177,1),(179,1),(200,1)}
       157:{2,4,6,7}:{(131,1),(133,1),(136,1),(143,1)}
       158:{1,4,6,7}:{(132,1),(133,1),(137,1),(144,1),(175,1)}
       159:{1,4,5,7}:{(134,1),(145,1),(176,1),(179,1),(186,1)}
       160:{1,3,5,6}:{(134,1),(135,1),(177,1),(179,1),(202,1)}
       161:{1,2,5,6,7}:{(135,1),(136,1),(137,1),(147,1),(178,1),(180,1),(209,1)}
       162:{2,3,5}:{(138,1),(139,1),(141,1),(181,1)}
       163:{1,2,5,6}:{(139,1),(140,1),(171,1),(174,1),(182,1),(183,1)}
       164:{1,3,5,7}:{(140,1),(144,1),(172,1),(175,1),(183,1),(185,1)}
       165:{3,4,5}:{(141,1),(145,1),(181,1),(184,1)}
       166:{3,5,6}:{(141,1),(142,1),(177,1),(184,1),(185,1)}
       167:{1,2,4,5,7}:{(142,1),(143,1),(144,1),(147,1),(178,1),(183,1),(185,1),(186,1),(204,1),(205,1),(209,1)}
       168:{1,4,6}:{(145,1),(146,1),(184,1),(186,1)}
       169:{1,3,5,7}:{(146,1),(147,1),(148,1),(185,1),(186,1)}
       170:{2,3,5}:{(149,1),(150,1),(187,1)}
       171:{1,2,4,6}:{(150,1),(151,1),(163,1),(187,1),(188,1),(196,1)}
       172:{1,3,4,7}:{(151,1),(164,1),(188,1),(198,1)}
       173:{2,3,5,7}:{(152,1),(153,1),(155,1),(162,1),(189,1),(190,1)}
       174:{1,2,6}:{(153,1),(154,1),(190,1)}
       175:{1,3,6,7}:{(154,1),(158,1),(164,1),(191,1),(193,1)}
       176:{3,4,5,7}:{(155,1),(159,1),(165,1),(189,1),(192,1),(198,1),(208,1)}
       177:{3,6}:{(155,1),(156,1)}
       178:{1,2,4,6,7}:{(156,1),(157,1),(158,1),(161,1),(167,1),(191,1),(193,1),(195,1),(207,1)}
       179:{1,4,6}:{(159,1),(160,1),(192,1)}
       180:{1,3,5,6,7}:{(160,1),(161,1),(169,1),(193,1),(195,1),(208,1)}
       181:{2,4,5}:{(162,1),(165,1),(196,1)}
       182:{2,3,5,6}:{(162,1),(163,1),(166,1),(187,1),(190,1),(196,1),(197,1),(206,1)}
       183:{1,2,5,7}:{(163,1),(164,1),(188,1),(191,1),(197,1)}
       184:{3,4,6}:{(165,1),(166,1),(168,1),(196,1),(198,1)}
       185:{3,5,7}:{(166,1),(167,1),(193,1),(198,1)}
       186:{1,4,7}:{(168,1),(169,1),(198,1)}
       187:{2,3,6}:{(170,1),(171,1),(199,1)}
       188:{1,2,4,7}:{(171,1),(172,1),(183,1),(199,1),(205,1)}
       189:{2,4,5,7}:{(173,1),(176,1),(181,1),(200,1),(205,1),(209,1)}
       190:{2,3,6}:{(173,1),(174,1),(177,1),(200,1)}
       191:{1,2,6,7}:{(174,1),(175,1),(183,1),(201,1)}
       192:{3,4,6}:{(176,1),(177,1),(179,1),(200,1),(202,1)}
       193:{3,6,7}:{(177,1),(178,1),(185,1)}
       194:{1,4,5,6}:{(179,1),(202,1),(204,1)}
       195:{1,4,6,7}:{(179,1),(180,1),(186,1),(203,1),(204,1)}
       196:{2,4,6}:{(181,1),(182,1),(184,1),(205,1)}
       197:{2,3,5,7}:{(182,1),(183,1),(185,1),(199,1),(201,1),(205,1),(209,1)}
       198:{3,4,7}:{(184,1),(185,1),(186,1),(205,1)}
       199:{2,3,7}:{(187,1),(188,1)}
       200:{2,4,6}:{(189,1),(190,1),(192,1),(206,1)}
       201:{2,3,6,7}:{(190,1),(191,1),(193,1),(197,1),(207,1)}
       202:{3,5,6}:{(192,1),(194,1),(206,1),(208,1)}
       203:{3,4,6,7}:{(192,1),(193,1),(195,1),(198,1),(207,1),(208,1)}
       204:{1,4,5,7}:{(194,1),(195,1),(208,1)}
       205:{2,4,7}:{(196,1),(197,1),(198,1)}
       206:{2,5,6}:{(200,1),(202,1),(209,1)}
       207:{2,4,6,7}:{(200,1),(201,1),(203,1),(205,1),(209,1)}
       208:{3,5,7}:{(202,1),(203,1),(204,1),(209,1)}
       209:{2,5,7}:{(206,1),(207,1),(208,1)}

1080 :   0:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(34,1),(72,1),(76,1),(83,1),(119,1),(122,1),(127,1)}
         1:{1,2,4,5,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(50,1),(56,1),(60,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(6,1),(61,1),(145,1),(148,1),(153,1)}
         3:{1,3,4,6,7}:{(2,1),(7,1),(8,1),(27,1),(65,1),(72,1),(116,1)}
         4:{2,3,5,7}:{(1,1),(10,1),(11,1),(39,1),(122,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(40,1)}
         6:{1,3,5,6}:{(2,1),(8,1),(12,1),(13,1),(41,1),(76,1),(167,1)}
         7:{1,2,4,6,7}:{(3,1),(5,1),(16,1),(17,1),(50,1)}
         8:{1,3,5,7}:{(3,1),(6,1),(17,1),(18,1),(51,1),(143,1)}
         9:{1,2,3,5,7}:{(4,1),(19,1),(20,1),(53,1),(56,1)}
        10:{2,3,4,7}:{(4,1),(19,1),(22,1),(50,1),(94,1)}
        11:{2,3,6}:{(4,1),(5,1),(148,1)}
        12:{1,2,5,6}:{(5,1),(6,1),(17,1),(23,1),(56,1)}
        13:{1,4,5,6}:{(6,1),(18,1),(25,1),(103,1),(145,1)}
        14:{1,3,5,6,7}:{(8,1),(26,1),(27,1),(28,1),(65,1),(118,1)}
        15:{1,4,5,6,7}:{(27,1),(28,1),(168,1)}
        16:{2,3,6,7}:{(7,1),(11,1),(31,1),(65,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(12,1),(31,1)}
        18:{1,4,5,7}:{(8,1),(13,1),(27,1),(33,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(34,1),(36,1)}
        20:{1,2,3,6}:{(9,1),(11,1),(36,1),(75,1)}
        21:{2,3,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(71,1),(81,1),(122,1),(131,1),(171,1),(178,1)}
        22:{2,3,4,6}:{(10,1),(11,1),(36,1),(39,1),(40,1),(80,1)}
        23:{2,3,5,6}:{(11,1),(12,1),(31,1),(39,1),(40,1),(41,1)}
        24:{1,2,4,5,6}:{(12,1),(13,1),(32,1),(40,1),(41,1),(42,1),(79,1),(84,1),(86,1),(114,1),(121,1),(167,1)}
        25:{3,4,5,6}:{(13,1),(33,1),(41,1),(42,1),(131,1),(170,1)}
        26:{1,2,5,6,7}:{(14,1),(17,1),(43,1),(44,1),(46,1),(92,1),(143,1)}
        27:{1,4,6,7}:{(14,1),(18,1),(45,1),(145,1)}
        28:{3,5,6,7}:{(15,1),(45,1),(46,1),(189,1)}
        29:{1,2,3,6,7}:{(16,1),(20,1),(47,1),(48,1),(89,1),(101,1),(148,1),(193,1),(194,1)}
        30:{2,3,4,6,7}:{(16,1),(22,1),(47,1),(49,1),(50,1),(88,1),(94,1),(96,1),(148,1)}
        31:{2,3,5,7}:{(16,1),(17,1),(23,1),(50,1),(51,1)}
        32:{1,2,4,5,7}:{(17,1),(18,1),(24,1),(44,1),(50,1),(51,1),(52,1),(87,1),(98,1),(100,1),(143,1)}
        33:{3,4,5,7}:{(18,1),(25,1),(45,1),(51,1),(52,1)}
        34:{1,3,4,7}:{(19,1),(53,1),(54,1),(94,1),(155,1)}
        35:{1,2,4,5,7}:{(19,1),(21,1),(53,1),(55,1),(56,1),(103,1),(104,1),(155,1)}
        36:{1,2,4,6}:{(19,1),(20,1),(22,1),(54,1),(56,1)}
        37:{1,2,3,5,6}:{(20,1),(23,1),(48,1),(56,1),(57,1),(62,1),(92,1),(102,1),(106,1),(148,1),(161,1),(162,1),(163,1),(194,1)}
        38:{2,3,4,6}:{(21,1),(55,1),(59,1),(96,1),(148,1),(156,1),(191,1)}
        39:{2,3,5}:{(22,1),(56,1),(60,1),(106,1)}
        40:{2,4,6}:{(23,1),(50,1),(60,1),(61,1)}
        41:{3,5,6}:{(24,1),(51,1),(61,1),(106,1),(148,1)}
        42:{2,4,5,6}:{(25,1),(52,1),(63,1),(158,1),(191,1)}
        43:{2,3,5,6,7}:{(26,1),(31,1),(64,1),(65,1),(70,1),(115,1)}
        44:{1,2,4,6,7}:{(26,1),(27,1),(32,1),(64,1),(65,1),(66,1),(116,1),(117,1),(121,1)}
        45:{3,4,6,7}:{(27,1),(28,1),(33,1),(65,1),(66,1),(170,1)}
        46:{2,5,6,7}:{(28,1),(66,1),(202,1)}
        47:{1,2,4,6,7}:{(29,1),(30,1),(36,1),(67,1),(68,1),(69,1),(116,1),(121,1),(203,1)}
        48:{1,2,3,5,7}:{(29,1),(31,1),(37,1),(68,1),(69,1),(73,1),(122,1),(129,1),(175,1),(176,1),(183,1)}
        49:{2,3,5,7}:{(30,1),(39,1),(68,1),(70,1),(71,1),(115,1),(122,1)}
        50:{2,4,7}:{(31,1),(40,1),(72,1)}
        51:{3,5,7}:{(32,1),(41,1),(65,1),(72,1)}
        52:{2,4,5,7}:{(33,1),(42,1),(66,1),(74,1)}
        53:{1,3,5,7}:{(34,1),(35,1),(75,1),(76,1),(122,1)}
        54:{1,3,4,6}:{(34,1),(36,1),(75,1),(76,1),(80,1),(130,1)}
        55:{1,2,4,6}:{(35,1),(38,1),(75,1),(78,1),(130,1)}
        56:{1,2,5}:{(36,1),(39,1),(76,1)}
        57:{1,2,4,6}:{(37,1),(40,1),(69,1),(79,1),(80,1),(84,1),(130,1),(180,1)}
        58:{2,3,4,6,7}:{(38,1),(77,1),(81,1),(125,1),(172,1),(178,1),(203,1)}
        59:{2,3,5,6}:{(38,1),(39,1),(78,1),(81,1),(82,1),(133,1),(202,1)}
        60:{2,4,5}:{(39,1),(40,1),(83,1)}
        61:{3,4,6}:{(40,1),(41,1),(72,1),(83,1),(84,1)}
        62:{1,3,5,6}:{(41,1),(73,1),(84,1),(86,1),(134,1),(140,1),(167,1),(173,1)}
        63:{2,3,5,6}:{(41,1),(42,1),(74,1),(85,1),(86,1),(135,1),(174,1)}
        64:{2,4,6,7}:{(43,1),(50,1),(87,1),(88,1),(96,1)}
        65:{3,6,7}:{(44,1),(51,1),(148,1)}
        66:{2,4,6,7}:{(45,1),(46,1),(52,1),(90,1),(191,1)}
        67:{1,3,4,6,7}:{(47,1),(54,1),(91,1),(94,1),(101,1),(145,1),(148,1),(155,1),(190,1)}
        68:{1,2,5,7}:{(47,1),(49,1),(56,1),(91,1),(92,1),(143,1),(208,1)}
        69:{1,2,4,7}:{(48,1),(50,1),(57,1),(94,1),(98,1),(155,1),(196,1)}
        70:{2,3,5,6}:{(49,1),(92,1),(96,1),(142,1),(148,1)}
        71:{2,4,5,7}:{(49,1),(50,1),(60,1),(96,1),(97,1)}
        72:{3,4,7}:{(50,1),(51,1),(61,1),(98,1)}
        73:{1,3,5,7}:{(51,1),(62,1),(89,1),(98,1),(100,1),(143,1),(154,1)}
        74:{2,3,5,7}:{(51,1),(52,1),(63,1),(90,1),(99,1),(100,1)}
        75:{1,3,6}:{(53,1),(55,1),(148,1)}
        76:{1,3,5}:{(54,1),(56,1),(103,1),(106,1)}
        77:{1,2,4,6,7}:{(55,1),(58,1),(101,1),(104,1),(155,1)}
        78:{1,2,5,6}:{(55,1),(56,1),(59,1),(102,1),(104,1)}
        79:{1,2,4,5}:{(56,1),(57,1),(60,1),(103,1),(106,1),(111,1),(158,1),(162,1)}
        80:{3,4,6}:{(57,1),(94,1),(106,1),(148,1)}
        81:{2,3,5,7}:{(58,1),(59,1),(104,1),(109,1),(159,1),(208,1)}
        82:{2,4,5,6}:{(59,1),(60,1),(96,1),(109,1),(110,1)}
        83:{3,4,5}:{(60,1),(61,1),(106,1),(111,1)}
        84:{1,4,6}:{(61,1),(62,1),(98,1),(111,1)}
        85:{2,3,4,6}:{(61,1),(63,1),(99,1),(112,1),(113,1)}
        86:{1,2,5,6}:{(62,1),(63,1),(100,1),(113,1),(162,1),(194,1)}
        87:{2,4,5,7}:{(64,1),(114,1),(115,1)}
        88:{3,4,6,7}:{(64,1),(65,1),(72,1),(115,1),(116,1),(126,1)}
        89:{1,3,6,7}:{(65,1),(73,1),(116,1),(117,1),(173,1)}
        90:{2,3,6,7}:{(65,1),(66,1),(74,1),(117,1),(174,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(76,1),(118,1),(119,1),(122,1),(201,1)}
        92:{1,2,5,6}:{(68,1),(70,1),(118,1),(121,1),(167,1),(202,1)}
        93:{1,2,4,5,7}:{(68,1),(69,1),(71,1),(79,1),(119,1),(121,1),(122,1),(127,1),(171,1),(175,1)}
        94:{3,4,7}:{(69,1),(80,1),(122,1)}
        95:{2,3,5,6,7}:{(70,1),(81,1),(120,1),(125,1),(166,1),(172,1)}
        96:{2,4,6}:{(70,1),(71,1),(126,1)}
        97:{3,4,5,7}:{(71,1),(72,1),(83,1),(115,1),(122,1),(126,1),(127,1)}
        98:{1,4,7}:{(72,1),(73,1),(84,1)}
        99:{2,3,4,7}:{(72,1),(74,1),(85,1),(128,1)}
       100:{1,2,5,7}:{(73,1),(74,1),(86,1),(117,1),(128,1)}
       101:{1,3,6,7}:{(75,1),(77,1),(129,1),(172,1)}
       102:{1,3,5,6}:{(75,1),(76,1),(78,1),(129,1),(130,1),(133,1)}
       103:{1,4,5}:{(76,1),(130,1),(131,1)}
       104:{1,2,5,7}:{(77,1),(78,1),(81,1),(129,1)}
       105:{1,2,4,5,6}:{(78,1),(79,1),(82,1),(121,1),(130,1),(132,1),(133,1),(138,1),(168,1),(180,1),(184,1),(202,1)}
       106:{3,5}:{(79,1),(80,1)}
       107:{1,3,4,6}:{(80,1),(84,1),(123,1),(134,1),(136,1),(140,1),(173,1),(186,1)}
       108:{2,3,4,6}:{(80,1),(124,1),(135,1),(136,1),(174,1),(180,1),(206,1),(207,1)}
       109:{2,4,5,7}:{(81,1),(82,1),(125,1),(137,1)}
       110:{3,4,5,6}:{(82,1),(83,1),(126,1),(133,1),(137,1),(138,1)}
       111:{1,4,5}:{(83,1),(84,1),(134,1)}
       112:{2,3,4,5}:{(83,1),(85,1),(135,1),(139,1),(207,1)}
       113:{1,2,4,6}:{(84,1),(85,1),(86,1),(128,1),(139,1),(140,1)}
       114:{2,4,5,6}:{(87,1),(96,1),(142,1)}
       115:{3,5,7}:{(87,1),(88,1),(142,1),(143,1)}
       116:{1,4,6,7}:{(88,1),(89,1),(98,1),(143,1),(153,1)}
       117:{1,2,6,7}:{(89,1),(90,1),(100,1),(194,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(145,1),(148,1),(189,1)}
       119:{1,4,5,7}:{(91,1),(103,1),(145,1),(146,1),(155,1)}
       120:{1,2,5,6,7}:{(92,1),(95,1),(104,1),(144,1),(147,1),(187,1),(208,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(96,1),(145,1),(148,1),(153,1),(191,1),(194,1)}
       122:{3,5,7}:{(93,1),(94,1),(106,1),(148,1)}
       123:{1,3,4,7}:{(94,1),(98,1),(107,1),(149,1),(151,1),(154,1)}
       124:{2,3,4,7}:{(94,1),(108,1),(150,1),(151,1),(196,1),(209,1)}
       125:{2,4,6,7}:{(95,1),(96,1),(109,1),(152,1)}
       126:{3,4,6}:{(96,1),(97,1),(142,1),(148,1),(153,1)}
       127:{1,4,5,7}:{(97,1),(98,1),(111,1),(143,1),(149,1),(153,1)}
       128:{1,2,4,7}:{(98,1),(99,1),(100,1),(113,1),(154,1)}
       129:{1,3,5,7}:{(101,1),(102,1),(104,1),(155,1),(159,1)}
       130:{1,4,6}:{(102,1),(103,1),(155,1),(156,1)}
       131:{3,4,5}:{(103,1),(106,1),(156,1),(158,1)}
       132:{1,2,4,5,7}:{(104,1),(105,1),(109,1),(147,1),(155,1),(159,1),(164,1),(188,1),(196,1),(199,1),(208,1)}
       133:{3,5,6}:{(105,1),(106,1),(148,1),(156,1),(159,1)}
       134:{1,3,5}:{(106,1),(107,1),(111,1),(162,1)}
       135:{2,3,5}:{(106,1),(108,1),(158,1),(162,1)}
       136:{1,2,4,6}:{(107,1),(108,1),(151,1),(162,1),(163,1),(194,1),(200,1)}
       137:{3,4,5,7}:{(109,1),(110,1),(152,1),(159,1),(164,1)}
       138:{1,4,5,6}:{(110,1),(111,1),(153,1),(160,1),(164,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(113,1),(162,1),(165,1),(200,1)}
       140:{1,3,6}:{(113,1),(154,1),(165,1)}
       141:{2,4,5,6,7}:{(114,1),(125,1),(166,1)}
       142:{3,5,6}:{(114,1),(115,1),(126,1),(167,1)}
       143:{1,5,7}:{(115,1),(116,1),(167,1)}
       144:{1,3,5,6,7}:{(118,1),(120,1),(129,1),(169,1),(172,1),(201,1)}
       145:{1,4,6}:{(118,1),(119,1),(170,1)}
       146:{3,4,5,7}:{(119,1),(122,1),(131,1),(170,1),(171,1),(178,1),(201,1)}
       147:{1,2,4,6,7}:{(120,1),(121,1),(125,1),(132,1),(169,1),(172,1),(177,1),(203,1),(204,1)}
       148:{3,6}:{(121,1),(122,1)}
       149:{1,3,5,7}:{(122,1),(123,1),(127,1),(134,1),(173,1),(175,1)}
       150:{2,3,5,7}:{(122,1),(124,1),(135,1),(171,1),(174,1),(175,1)}
       151:{1,2,4,7}:{(123,1),(124,1),(136,1),(175,1),(176,1)}
       152:{3,4,6,7}:{(125,1),(126,1),(137,1),(166,1),(172,1),(177,1)}
       153:{1,4,6}:{(126,1),(127,1),(167,1),(173,1)}
       154:{1,3,7}:{(128,1),(140,1)}
       155:{1,4,7}:{(129,1),(130,1),(178,1)}
       156:{3,4,6}:{(130,1),(131,1),(133,1),(178,1),(180,1)}
       157:{1,3,4,5}:{(131,1),(134,1),(179,1),(181,1),(186,1)}
       158:{2,4,5}:{(131,1),(135,1),(180,1)}
       159:{3,5,7}:{(132,1),(133,1),(172,1),(178,1)}
       160:{1,3,5,6}:{(133,1),(134,1),(138,1),(173,1),(179,1),(182,1),(184,1)}
       161:{2,3,5,6}:{(133,1),(135,1),(174,1),(180,1),(183,1),(184,1),(202,1),(206,1)}
       162:{1,2,5}:{(134,1),(135,1),(136,1)}
       163:{1,2,3,6}:{(136,1),(140,1),(176,1),(185,1),(206,1)}
       164:{1,4,5,7}:{(137,1),(138,1),(177,1),(182,1)}
       165:{1,3,5}:{(139,1),(140,1),(186,1)}
       166:{3,5,6,7}:{(141,1),(142,1),(152,1),(187,1)}
       167:{1,5,6}:{(142,1),(143,1),(153,1)}
       168:{1,4,5,6}:{(145,1),(188,1),(189,1)}
       169:{1,4,6,7}:{(144,1),(145,1),(155,1),(188,1),(190,1)}
       170:{3,4,6}:{(145,1),(146,1),(148,1),(189,1),(191,1)}
       171:{2,4,5,7}:{(146,1),(150,1),(158,1),(191,1),(196,1),(208,1)}
       172:{3,6,7}:{(147,1),(148,1),(159,1)}
       173:{1,3,6}:{(148,1),(149,1),(153,1),(194,1)}
       174:{2,3,6}:{(148,1),(150,1),(191,1),(194,1)}
       175:{1,2,5,7}:{(149,1),(150,1),(151,1),(162,1),(194,1)}
       176:{1,2,3,7}:{(151,1),(154,1),(163,1),(209,1)}
       177:{1,4,6,7}:{(152,1),(153,1),(164,1),(187,1),(192,1)}
       178:{3,4,7}:{(155,1),(156,1),(159,1),(196,1)}
       179:{1,3,4,6}:{(156,1),(157,1),(160,1),(195,1),(197,1)}
       180:{2,4,6}:{(156,1),(158,1),(161,1),(196,1)}
       181:{1,2,4,5}:{(157,1),(158,1),(162,1),(197,1),(198,1),(200,1)}
       182:{1,3,5,7}:{(159,1),(160,1),(164,1),(192,1),(195,1),(199,1)}
       183:{2,3,5,7}:{(159,1),(161,1),(193,1),(196,1),(199,1),(208,1),(209,1)}
       184:{1,2,5,6}:{(160,1),(161,1),(162,1),(194,1),(197,1),(199,1)}
       185:{1,2,3,5}:{(162,1),(163,1),(165,1),(198,1),(200,1)}
       186:{1,3,4}:{(165,1),(200,1)}
       187:{1,5,6,7}:{(166,1),(167,1),(177,1)}
       188:{1,4,5,7}:{(168,1),(169,1),(201,1)}
       189:{3,5,6}:{(168,1),(170,1),(201,1),(202,1)}
       190:{3,4,6,7}:{(169,1),(170,1),(172,1),(178,1),(201,1),(203,1)}
       191:{2,4,6}:{(170,1),(171,1),(174,1),(202,1)}
       192:{1,3,6,7}:{(172,1),(173,1),(177,1),(182,1),(204,1)}
       193:{2,3,6,7}:{(172,1),(174,1),(183,1),(203,1),(204,1)}
       194:{1,2,6}:{(173,1),(174,1),(175,1)}
       195:{1,3,4,7}:{(178,1),(179,1),(182,1),(205,1)}
       196:{2,4,7}:{(178,1),(180,1),(183,1)}
       197:{1,2,4,6}:{(179,1),(180,1),(181,1),(184,1),(205,1),(206,1)}
       198:{2,3,5}:{(181,1),(206,1),(207,1)}
       199:{1,2,5,7}:{(182,1),(183,1),(184,1),(204,1),(205,1)}
       200:{1,2,4}:{(185,1),(186,1),(207,1)}
       201:{3,5,7}:{(188,1),(189,1),(190,1),(208,1)}
       202:{2,5,6}:{(189,1),(191,1),(208,1)}
       203:{2,4,6,7}:{(190,1),(191,1),(193,1),(196,1),(208,1)}
       204:{1,2,6,7}:{(192,1),(193,1),(194,1),(199,1)}
       205:{1,2,4,7}:{(195,1),(196,1),(197,1),(199,1),(209,1)}
       206:{2,3,6}:{(197,1),(198,1),(209,1)}
       207:{2,3,4}:{(198,1),(200,1)}
       208:{2,5,7}:{(201,1),(202,1),(203,1)}
       209:{2,3,7}:{(205,1),(206,1)}

1081 :   0:{1,3,4,6}:{(4,1),(5,1),(6,1),(8,1),(37,1),(40,1),(46,1),(75,1),(124,1)}
         1:{1,3,5,6}:{(5,1),(7,1),(8,1),(9,1),(12,1),(37,1),(40,1),(84,1),(129,1)}
         2:{2,3,5,6}:{(7,1),(10,1),(11,1),(31,1),(38,1),(40,1),(77,1),(86,1),(87,1),(125,1),(129,1)}
         3:{1,4,5,6}:{(8,1),(12,1),(13,1),(84,1),(131,1)}
         4:{1,2,4,6}:{(0,1),(14,1),(15,1),(16,1),(52,1),(56,1),(102,1)}
         5:{1,3,5}:{(0,1),(15,1),(17,1),(54,1),(60,1),(145,1)}
         6:{1,3,4,7}:{(0,1),(16,1),(18,1),(23,1),(65,1),(70,1),(101,1),(205,1)}
         7:{1,2,5,6}:{(1,1),(2,1),(15,1),(20,1),(21,1),(28,1),(56,1),(60,1),(110,1)}
         8:{1,4,6}:{(1,1),(17,1),(22,1),(23,1),(149,1)}
         9:{1,3,5,7}:{(1,1),(21,1),(23,1),(24,1),(29,1),(65,1),(69,1),(115,1)}
        10:{2,4,6}:{(2,1),(19,1),(25,1),(26,1),(52,1),(149,1)}
        11:{2,3,5,7}:{(2,1),(21,1),(26,1),(27,1),(61,1),(65,1),(72,1),(115,1)}
        12:{3,5,6}:{(3,1),(22,1),(28,1),(29,1)}
        13:{1,4,5,7}:{(3,1),(23,1),(29,1),(30,1),(69,1),(117,1)}
        14:{2,3,6}:{(4,1),(31,1),(32,1),(40,1)}
        15:{1,2,5}:{(4,1),(5,1),(31,1),(125,1)}
        16:{1,2,4,7}:{(4,1),(6,1),(32,1),(34,1),(76,1),(208,1)}
        17:{1,4,5}:{(5,1),(8,1),(35,1),(162,1)}
        18:{1,3,5,7}:{(5,1),(6,1),(34,1),(36,1),(37,1),(80,1),(85,1),(192,1),(202,1)}
        19:{2,4,5}:{(10,1),(38,1),(125,1),(162,1)}
        20:{1,2,4,6}:{(7,1),(8,1),(10,1),(33,1),(40,1),(41,1),(43,1),(46,1),(88,1)}
        21:{1,2,5,7}:{(7,1),(9,1),(11,1),(41,1),(42,1),(49,1),(85,1)}
        22:{3,4,6}:{(8,1),(12,1),(35,1),(40,1),(43,1),(44,1)}
        23:{1,4,7}:{(8,1),(9,1),(44,1),(137,1)}
        24:{1,3,6,7}:{(9,1),(37,1),(42,1),(45,1),(50,1),(91,1),(192,1)}
        25:{3,4,6}:{(10,1),(38,1),(40,1),(46,1),(47,1),(75,1),(86,1)}
        26:{2,4,7}:{(10,1),(11,1),(47,1),(137,1)}
        27:{2,3,6,7}:{(11,1),(42,1),(48,1),(77,1),(86,1),(91,1),(193,1)}
        28:{2,5,6}:{(12,1),(43,1),(49,1)}
        29:{3,5,7}:{(12,1),(13,1),(44,1),(49,1),(50,1)}
        30:{1,4,6,7}:{(13,1),(50,1),(51,1),(98,1)}
        31:{2,3,5}:{(14,1),(15,1),(52,1),(54,1)}
        32:{2,3,7}:{(14,1),(16,1),(65,1),(209,1)}
        33:{1,2,4,5}:{(15,1),(17,1),(19,1),(20,1),(52,1),(54,1),(57,1),(60,1),(99,1),(103,1)}
        34:{1,2,5,7}:{(15,1),(16,1),(18,1),(53,1),(56,1),(200,1),(207,1)}
        35:{3,4,5}:{(17,1),(22,1),(54,1),(57,1)}
        36:{1,4,5,7}:{(17,1),(18,1),(23,1),(58,1),(59,1),(69,1),(184,1),(197,1)}
        37:{1,3,6}:{(18,1),(56,1),(59,1),(106,1),(110,1)}
        38:{3,5}:{(19,1),(25,1),(60,1)}
        39:{2,4,5,7}:{(19,1),(26,1),(61,1),(62,1),(72,1),(119,1)}
        40:{3,6}:{(20,1),(54,1),(65,1)}
        41:{1,2,4,7}:{(20,1),(21,1),(23,1),(26,1),(65,1),(67,1),(70,1),(112,1)}
        42:{1,2,6,7}:{(21,1),(24,1),(27,1),(56,1),(73,1),(110,1),(200,1)}
        43:{2,4,6}:{(22,1),(28,1),(57,1),(64,1),(67,1)}
        44:{3,4,7}:{(22,1),(23,1),(29,1),(65,1),(67,1)}
        45:{1,4,6,7}:{(23,1),(24,1),(59,1),(68,1),(69,1),(157,1),(184,1)}
        46:{1,4,6}:{(25,1),(60,1),(63,1),(70,1),(99,1),(110,1)}
        47:{3,4,7}:{(25,1),(26,1),(61,1),(65,1),(70,1)}
        48:{2,4,6,7}:{(26,1),(27,1),(62,1),(71,1),(72,1),(102,1),(181,1),(183,1)}
        49:{2,5,7}:{(28,1),(29,1),(67,1),(73,1)}
        50:{3,6,7}:{(29,1),(30,1),(73,1)}
        51:{1,5,6,7}:{(30,1),(69,1),(74,1),(157,1)}
        52:{2,4}:{(31,1),(75,1)}
        53:{2,3,5,7}:{(31,1),(32,1),(34,1),(76,1),(77,1),(80,1),(125,1),(172,1),(193,1),(203,1)}
        54:{3,5}:{(33,1),(40,1),(75,1)}
        55:{1,2,4,5,7}:{(33,1),(34,1),(36,1),(39,1),(41,1),(76,1),(80,1),(81,1),(82,1),(85,1),(92,1),(122,1),(125,1),(126,1),(137,1),(139,1),(160,1),(162,1),(168,1),(172,1),(186,1)}
        56:{1,2,6}:{(34,1),(37,1),(77,1)}
        57:{2,4,5}:{(35,1),(43,1),(79,1)}
        58:{3,4,5,7}:{(35,1),(36,1),(44,1),(80,1),(82,1),(83,1),(94,1),(137,1),(162,1),(170,1),(188,1)}
        59:{1,4,6}:{(36,1),(37,1),(83,1),(84,1)}
        60:{1,5}:{(38,1),(46,1)}
        61:{3,5,7}:{(38,1),(39,1),(47,1),(85,1),(86,1)}
        62:{2,4,6}:{(39,1),(86,1),(87,1),(133,1)}
        63:{1,3,6}:{(40,1),(46,1),(78,1),(88,1),(89,1)}
        64:{2,3,6}:{(40,1),(43,1),(79,1),(88,1),(90,1)}
        65:{3,7}:{(40,1),(41,1)}
        66:{1,2,4,6,7}:{(41,1),(42,1),(45,1),(48,1),(81,1),(91,1),(92,1),(93,1),(95,1),(134,1),(137,1),(168,1)}
        67:{2,4,7}:{(43,1),(44,1),(49,1),(90,1)}
        68:{3,4,6,7}:{(44,1),(45,1),(50,1),(83,1),(91,1),(93,1),(94,1),(98,1),(137,1),(140,1),(170,1)}
        69:{1,5,7}:{(45,1),(84,1),(94,1)}
        70:{1,4,7}:{(46,1),(47,1),(85,1),(89,1)}
        71:{3,4,6,7}:{(47,1),(48,1),(86,1),(91,1),(95,1),(96,1),(124,1),(133,1),(137,1),(167,1),(169,1)}
        72:{2,5,7}:{(48,1),(87,1),(96,1),(125,1)}
        73:{2,6,7}:{(49,1),(50,1)}
        74:{3,5,6,7}:{(50,1),(51,1),(94,1),(97,1),(98,1),(140,1)}
        75:{3,4}:{(52,1),(54,1),(99,1)}
        76:{2,4,7}:{(52,1),(53,1),(101,1),(102,1),(206,1)}
        77:{2,3,6}:{(53,1),(56,1),(102,1),(106,1),(181,1)}
        78:{1,3,5}:{(54,1),(60,1),(63,1),(99,1),(103,1),(141,1)}
        79:{2,3,5}:{(54,1),(57,1),(64,1),(100,1),(103,1)}
        80:{3,5,7}:{(54,1),(55,1),(65,1),(101,1),(106,1),(145,1),(182,1),(195,1)}
        81:{1,2,4,6}:{(55,1),(56,1),(59,1),(62,1),(102,1),(106,1),(107,1),(108,1),(110,1),(143,1),(146,1),(149,1),(151,1),(181,1)}
        82:{2,4,5,7}:{(57,1),(58,1),(67,1),(105,1),(108,1),(116,1),(154,1),(176,1)}
        83:{3,4,6}:{(58,1),(59,1),(106,1),(108,1),(109,1),(149,1)}
        84:{1,5,6}:{(59,1),(69,1),(109,1)}
        85:{1,5,7}:{(60,1),(61,1),(70,1),(110,1)}
        86:{3,6}:{(61,1),(62,1),(110,1)}
        87:{2,5,6}:{(62,1),(72,1),(111,1),(181,1)}
        88:{1,2,6}:{(63,1),(64,1),(103,1),(112,1)}
        89:{1,3,7}:{(63,1),(65,1),(70,1),(112,1)}
        90:{2,3,7}:{(64,1),(65,1),(67,1),(112,1)}
        91:{3,6,7}:{(65,1),(66,1),(106,1),(115,1),(182,1)}
        92:{1,2,5,7}:{(66,1),(69,1),(72,1),(107,1),(115,1),(116,1),(118,1)}
        93:{2,4,6,7}:{(67,1),(68,1),(73,1),(108,1),(114,1),(116,1),(154,1)}
        94:{3,5,7}:{(68,1),(69,1),(109,1),(116,1),(117,1)}
        95:{1,4,6,7}:{(70,1),(71,1),(110,1),(113,1),(118,1),(143,1),(151,1),(153,1)}
        96:{3,5,7}:{(71,1),(72,1),(111,1),(118,1),(119,1),(145,1)}
        97:{2,5,6,7}:{(73,1),(74,1),(116,1),(120,1)}
        98:{4,6,7}:{(74,1),(117,1)}
        99:{1,4}:{(75,1),(78,1)}
       100:{2,3,4}:{(75,1),(79,1),(121,1)}
       101:{3,4,7}:{(75,1),(76,1),(80,1),(122,1),(124,1),(137,1),(201,1)}
       102:{2,4,6}:{(76,1),(77,1),(124,1),(125,1)}
       103:{1,2,5}:{(78,1),(79,1),(88,1),(121,1)}
       104:{1,3,5,7}:{(78,1),(80,1),(85,1),(89,1),(122,1),(126,1),(127,1),(158,1),(160,1),(185,1)}
       105:{2,3,5,7}:{(79,1),(80,1),(82,1),(90,1),(123,1),(126,1),(128,1),(161,1),(172,1)}
       106:{3,6}:{(80,1),(81,1)}
       107:{1,2,5,6}:{(81,1),(84,1),(87,1),(92,1),(125,1),(129,1),(130,1),(132,1),(160,1)}
       108:{2,4,6}:{(82,1),(83,1),(128,1),(130,1)}
       109:{3,5,6}:{(83,1),(84,1),(94,1),(130,1),(131,1)}
       110:{1,6}:{(85,1),(86,1)}
       111:{3,5,6}:{(86,1),(87,1),(96,1),(132,1),(133,1),(167,1)}
       112:{1,2,7}:{(88,1),(89,1),(90,1)}
       113:{1,3,6,7}:{(89,1),(91,1),(95,1),(127,1),(134,1),(135,1),(167,1)}
       114:{2,3,6,7}:{(90,1),(91,1),(93,1),(128,1),(134,1),(136,1),(140,1)}
       115:{3,5,7}:{(91,1),(92,1),(129,1),(137,1)}
       116:{2,5,7}:{(93,1),(94,1),(130,1)}
       117:{4,5,7}:{(94,1),(98,1),(131,1),(137,1)}
       118:{1,5,7}:{(95,1),(96,1),(132,1),(160,1)}
       119:{4,5,7}:{(96,1),(133,1),(137,1),(162,1)}
       120:{2,4,6,7}:{(97,1),(98,1),(138,1),(140,1)}
       121:{1,2,4}:{(99,1),(100,1),(103,1),(141,1)}
       122:{1,4,7}:{(99,1),(101,1),(104,1),(143,1),(194,1)}
       123:{2,3,4,7}:{(100,1),(101,1),(105,1),(142,1),(144,1),(154,1),(182,1),(183,1)}
       124:{3,4,6}:{(101,1),(102,1),(106,1),(143,1),(145,1),(149,1)}
       125:{2,5}:{(102,1),(145,1)}
       126:{1,2,5,7}:{(103,1),(104,1),(105,1),(112,1),(142,1),(146,1),(174,1)}
       127:{1,3,6}:{(104,1),(106,1),(110,1),(143,1),(146,1)}
       128:{2,3,6}:{(105,1),(106,1),(108,1),(146,1),(181,1)}
       129:{3,5,6}:{(106,1),(107,1),(115,1),(145,1),(149,1)}
       130:{2,5,6}:{(108,1),(109,1),(116,1)}
       131:{4,5,6}:{(109,1),(117,1),(149,1)}
       132:{1,5,6}:{(110,1),(111,1),(118,1),(151,1)}
       133:{4,6}:{(111,1),(119,1)}
       134:{1,2,6,7}:{(112,1),(113,1),(114,1),(146,1),(152,1),(157,1),(181,1)}
       135:{1,3,5,7}:{(113,1),(115,1),(118,1),(147,1),(152,1),(153,1),(156,1),(182,1)}
       136:{2,3,5,7}:{(114,1),(115,1),(116,1),(148,1),(152,1),(154,1),(155,1),(182,1)}
       137:{4,7}:{(115,1),(149,1)}
       138:{2,4,5,7}:{(116,1),(117,1),(120,1),(150,1),(154,1),(155,1)}
       139:{1,4,5,7}:{(118,1),(119,1),(151,1),(153,1),(156,1),(175,1)}
       140:{3,6,7}:{(120,1),(155,1),(157,1)}
       141:{1,3}:{(121,1)}
       142:{1,2,4,7}:{(121,1),(122,1),(123,1),(126,1),(158,1),(159,1)}
       143:{1,4,6}:{(122,1),(124,1),(127,1),(160,1)}
       144:{2,3,4,6}:{(123,1),(124,1),(128,1),(159,1),(161,1),(165,1),(189,1),(190,1),(201,1)}
       145:{3,5}:{(124,1),(125,1),(160,1),(162,1)}
       146:{1,2,6}:{(126,1),(127,1),(128,1)}
       147:{1,3,5,6}:{(127,1),(129,1),(132,1),(135,1),(160,1),(163,1),(164,1),(167,1),(185,1),(187,1),(189,1)}
       148:{2,3,5,6}:{(128,1),(129,1),(130,1),(136,1),(161,1),(163,1),(165,1),(166,1),(189,1)}
       149:{4,6}:{(129,1),(137,1),(162,1)}
       150:{2,4,5,6}:{(130,1),(131,1),(138,1),(165,1),(166,1)}
       151:{1,4,6}:{(132,1),(133,1),(139,1),(167,1)}
       152:{1,2,5,7}:{(134,1),(135,1),(136,1),(163,1),(168,1),(171,1),(172,1)}
       153:{1,4,7}:{(135,1),(137,1),(164,1),(169,1)}
       154:{2,4,7}:{(136,1),(137,1),(165,1),(170,1)}
       155:{3,5,7}:{(138,1),(140,1),(166,1),(170,1),(171,1)}
       156:{3,5,7}:{(139,1),(167,1),(169,1),(172,1),(187,1)}
       157:{1,6,7}:{(140,1),(171,1)}
       158:{1,3,7}:{(141,1),(142,1),(173,1),(182,1)}
       159:{1,2,4,6}:{(142,1),(143,1),(144,1),(146,1),(173,1),(174,1),(194,1)}
       160:{1,5}:{(143,1),(145,1)}
       161:{2,3,5}:{(144,1),(145,1),(174,1),(176,1),(195,1),(196,1)}
       162:{4,5}:{(145,1),(149,1)}
       163:{1,2,5,6}:{(146,1),(147,1),(148,1),(152,1),(174,1),(177,1),(180,1),(181,1),(196,1)}
       164:{1,4,6}:{(147,1),(149,1),(153,1),(175,1),(178,1),(194,1)}
       165:{2,4,6}:{(148,1),(149,1),(154,1),(176,1),(179,1)}
       166:{3,5,6}:{(150,1),(155,1),(179,1),(180,1)}
       167:{3,6}:{(151,1),(156,1),(181,1)}
       168:{1,2,4,7}:{(152,1),(153,1),(154,1),(177,1),(182,1),(183,1),(184,1),(200,1)}
       169:{3,4,7}:{(153,1),(156,1),(178,1),(182,1),(183,1)}
       170:{3,4,7}:{(154,1),(155,1),(179,1),(182,1),(184,1)}
       171:{1,5,7}:{(155,1),(157,1),(180,1),(184,1)}
       172:{2,5,7}:{(156,1),(181,1),(183,1),(196,1)}
       173:{1,3,6}:{(158,1),(159,1),(185,1),(189,1)}
       174:{1,2,5}:{(159,1),(160,1),(161,1),(185,1)}
       175:{1,4,5}:{(160,1),(162,1),(164,1),(187,1)}
       176:{2,4,5}:{(161,1),(162,1),(165,1),(188,1)}
       177:{1,2,4,6}:{(163,1),(164,1),(165,1),(168,1),(186,1),(189,1),(190,1),(191,1),(204,1)}
       178:{3,4,6}:{(164,1),(167,1),(169,1),(187,1),(189,1),(190,1),(201,1)}
       179:{3,4,6}:{(165,1),(166,1),(170,1),(188,1),(189,1),(191,1)}
       180:{1,5,6}:{(166,1),(171,1),(191,1)}
       181:{2,6}:{(167,1),(172,1)}
       182:{3,7}:{(168,1),(189,1)}
       183:{2,4,7}:{(169,1),(172,1),(190,1),(193,1)}
       184:{1,4,7}:{(170,1),(171,1),(191,1),(192,1)}
       185:{1,3,5}:{(173,1),(174,1),(194,1),(195,1)}
       186:{1,2,4,5}:{(174,1),(175,1),(176,1),(177,1),(194,1),(195,1),(196,1),(197,1),(206,1),(207,1)}
       187:{3,5}:{(175,1),(178,1),(196,1)}
       188:{3,4,5}:{(176,1),(179,1),(195,1),(197,1)}
       189:{3,6}:{(177,1),(182,1),(195,1)}
       190:{2,4,6}:{(178,1),(181,1),(183,1),(196,1),(199,1),(206,1)}
       191:{1,4,6}:{(179,1),(180,1),(184,1),(197,1),(198,1)}
       192:{1,3,7}:{(182,1),(184,1),(198,1),(200,1)}
       193:{2,3,7}:{(182,1),(183,1),(199,1),(200,1)}
       194:{1,4}:{(185,1),(201,1)}
       195:{3,5}:{(186,1),(189,1),(201,1)}
       196:{2,5}:{(187,1),(190,1)}
       197:{1,4,5}:{(188,1),(191,1),(202,1)}
       198:{1,3,6}:{(189,1),(191,1),(192,1),(202,1),(204,1)}
       199:{2,3,6}:{(189,1),(190,1),(193,1),(203,1),(204,1)}
       200:{1,2,7}:{(192,1),(193,1),(204,1)}
       201:{3,4}:{(194,1),(195,1),(206,1)}
       202:{1,3,5}:{(195,1),(197,1),(198,1),(205,1),(207,1)}
       203:{2,3,5}:{(195,1),(196,1),(199,1),(206,1),(207,1),(209,1)}
       204:{1,2,6}:{(198,1),(199,1),(200,1),(207,1)}
       205:{1,3,4}:{(201,1),(202,1),(208,1)}
       206:{2,4}:{(201,1),(203,1)}
       207:{1,2,5}:{(202,1),(203,1),(204,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{2,3}:{(208,1)}

1082 :   0:{1,2,4,5,6}:{(2,1),(3,1),(17,1),(18,1),(22,1),(40,1),(44,1),(76,1),(77,1),(78,1),(98,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(5,1),(7,1),(69,1),(70,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(31,1),(33,1),(34,1),(38,1),(69,1),(70,1)}
         3:{3,5,6}:{(0,1),(6,1),(8,1),(63,1),(90,1),(102,1)}
         4:{1,3,4,6}:{(12,1),(13,1),(14,1),(17,1),(45,1),(55,1),(80,1),(97,1)}
         5:{3,5,6,7}:{(1,1),(15,1),(19,1),(51,1),(96,1)}
         6:{3,4,6}:{(3,1),(11,1),(16,1),(17,1),(18,1),(55,1),(80,1)}
         7:{1,2,4,6,7}:{(1,1),(2,1),(15,1),(19,1),(52,1),(53,1),(56,1),(78,1)}
         8:{3,5,7}:{(2,1),(3,1),(16,1),(19,1)}
         9:{1,3,5,6}:{(3,1),(12,1),(17,1),(20,1),(22,1),(45,1),(55,1),(75,1),(76,1),(94,1),(96,1),(103,1)}
        10:{2,3,5,6}:{(3,1),(18,1),(21,1),(22,1),(39,1),(47,1),(55,1),(73,1),(77,1),(81,1),(96,1),(98,1)}
        11:{3,4,5}:{(6,1),(24,1),(25,1),(63,1),(102,1)}
        12:{1,3,5}:{(4,1),(24,1),(27,1),(63,1),(102,1)}
        13:{1,3,4,7}:{(4,1),(26,1),(28,1),(33,1),(72,1),(91,1)}
        14:{1,2,4,6}:{(4,1),(27,1),(28,1),(29,1),(64,1),(66,1),(92,1)}
        15:{4,6,7}:{(5,1),(31,1),(101,1)}
        16:{3,4,7}:{(6,1),(8,1),(33,1),(34,1),(72,1)}
        17:{1,4,6}:{(6,1),(9,1),(24,1),(33,1),(88,1),(101,1)}
        18:{2,4,6}:{(6,1),(10,1),(25,1),(34,1),(66,1),(101,1)}
        19:{3,6,7}:{(7,1),(8,1),(90,1)}
        20:{1,3,5,7}:{(8,1),(9,1),(33,1),(36,1),(38,1),(69,1),(72,1),(93,1)}
        21:{2,3,5,7}:{(8,1),(10,1),(34,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        22:{1,2,5,6}:{(9,1),(10,1),(27,1),(35,1),(38,1),(58,1),(64,1),(86,1)}
        23:{3,4,5,7}:{(11,1),(16,1),(41,1),(42,1),(43,1),(51,1),(79,1),(99,1),(104,1)}
        24:{1,4,5}:{(11,1),(12,1),(17,1),(103,1),(104,1)}
        25:{2,4,5}:{(11,1),(18,1),(39,1),(98,1),(104,1)}
        26:{1,3,5,7}:{(12,1),(13,1),(42,1),(45,1),(46,1),(79,1)}
        27:{1,2,5}:{(12,1),(14,1),(47,1),(98,1)}
        28:{1,2,4,7}:{(13,1),(14,1),(46,1),(48,1),(82,1)}
        29:{2,3,6}:{(14,1),(47,1),(48,1),(55,1)}
        30:{2,3,4,6}:{(18,1),(39,1),(49,1),(50,1),(55,1),(73,1),(80,1),(97,1)}
        31:{4,5,7}:{(15,1),(40,1),(51,1),(99,1),(104,1)}
        32:{3,4,6,7}:{(15,1),(16,1),(19,1),(41,1),(51,1),(52,1),(53,1),(85,1),(97,1),(99,1)}
        33:{1,4,7}:{(16,1),(17,1),(20,1),(99,1)}
        34:{2,4,7}:{(16,1),(18,1),(21,1),(99,1)}
        35:{1,2,4,6}:{(17,1),(18,1),(22,1),(44,1),(54,1),(55,1)}
        36:{1,3,6,7}:{(19,1),(20,1),(45,1),(52,1),(56,1),(85,1),(94,1)}
        37:{2,3,6,7}:{(19,1),(21,1),(53,1),(56,1),(73,1),(81,1),(85,1)}
        38:{1,2,5,7}:{(20,1),(21,1),(22,1),(54,1),(56,1)}
        39:{2,3,5}:{(25,1),(30,1),(58,1),(63,1),(102,1)}
        40:{4,5,6}:{(31,1),(59,1),(101,1)}
        41:{3,4,6}:{(23,1),(59,1),(60,1),(61,1),(90,1),(101,1)}
        42:{1,4,5,7}:{(23,1),(24,1),(26,1),(33,1),(60,1),(69,1)}
        43:{2,4,5,7}:{(23,1),(25,1),(34,1),(57,1),(61,1),(70,1)}
        44:{1,2,4,5}:{(24,1),(25,1),(27,1),(35,1),(58,1),(63,1),(66,1),(88,1)}
        45:{1,3,6}:{(26,1),(60,1),(64,1),(90,1)}
        46:{1,2,5,7}:{(26,1),(27,1),(28,1),(64,1),(65,1)}
        47:{2,3,5}:{(27,1),(29,1),(63,1),(66,1)}
        48:{2,3,7}:{(28,1),(29,1),(72,1)}
        49:{2,3,4,7}:{(30,1),(34,1),(57,1),(67,1),(72,1),(91,1)}
        50:{1,2,4,6}:{(30,1),(58,1),(67,1),(68,1),(86,1),(88,1),(100,1)}
        51:{3,5,7}:{(31,1),(32,1),(59,1),(69,1),(70,1),(102,1)}
        52:{1,4,6,7}:{(32,1),(33,1),(36,1),(60,1),(69,1),(100,1)}
        53:{2,4,6,7}:{(32,1),(34,1),(37,1),(61,1),(70,1),(92,1)}
        54:{1,2,4,7}:{(33,1),(34,1),(35,1),(38,1),(72,1)}
        55:{3,6}:{(35,1),(63,1),(72,1)}
        56:{1,2,6,7}:{(36,1),(37,1),(38,1),(64,1),(86,1)}
        57:{2,3,5,7}:{(39,1),(43,1),(49,1),(73,1),(74,1),(79,1)}
        58:{1,2,5}:{(39,1),(50,1),(75,1),(103,1)}
        59:{3,5,6}:{(40,1),(41,1),(51,1),(76,1),(77,1)}
        60:{1,4,6}:{(41,1),(42,1),(45,1),(76,1)}
        61:{2,4,6}:{(41,1),(43,1),(73,1),(77,1)}
        62:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(46,1),(54,1),(74,1),(78,1),(79,1),(82,1),(84,1),(95,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5}:{(44,1),(55,1),(80,1)}
        64:{1,2,6}:{(45,1),(46,1),(81,1)}
        65:{2,3,5,7}:{(46,1),(47,1),(48,1),(79,1),(81,1),(82,1),(98,1)}
        66:{2,4}:{(47,1),(80,1)}
        67:{1,2,4,7}:{(49,1),(50,1),(74,1),(83,1),(95,1)}
        68:{1,3,6}:{(50,1),(55,1),(75,1),(83,1)}
        69:{1,5,7}:{(51,1),(52,1),(76,1),(103,1)}
        70:{2,5,7}:{(51,1),(53,1),(77,1),(98,1)}
        71:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(56,1),(78,1),(84,1),(85,1),(99,1)}
        72:{3,7}:{(54,1),(55,1)}
        73:{2,3,6}:{(57,1),(61,1),(86,1),(90,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(67,1),(86,1),(87,1)}
        75:{1,3,5}:{(58,1),(63,1),(68,1),(88,1)}
        76:{1,5,6}:{(59,1),(60,1),(69,1)}
        77:{2,5,6}:{(59,1),(61,1),(70,1)}
        78:{1,2,4,6}:{(60,1),(61,1),(62,1),(64,1),(86,1),(89,1),(90,1),(92,1),(100,1),(101,1)}
        79:{3,5,7}:{(62,1),(63,1),(72,1),(90,1),(91,1),(102,1)}
        80:{3,4}:{(63,1),(66,1),(88,1)}
        81:{2,3,6}:{(64,1),(65,1),(90,1),(92,1)}
        82:{2,4,7}:{(65,1),(66,1),(91,1),(92,1)}
        83:{1,3,7}:{(67,1),(68,1),(72,1)}
        84:{1,2,5,7}:{(69,1),(70,1),(71,1),(89,1),(93,1)}
        85:{3,6,7}:{(71,1),(72,1),(90,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{1,3,5,7}:{(74,1),(75,1),(79,1),(83,1),(94,1),(95,1),(103,1)}
        88:{1,4}:{(75,1),(80,1)}
        89:{1,2,5,6}:{(76,1),(77,1),(78,1),(84,1),(96,1),(98,1),(103,1)}
        90:{3,6}:{(78,1),(79,1)}
        91:{3,4,7}:{(79,1),(80,1),(82,1),(95,1),(97,1),(99,1)}
        92:{2,4,6}:{(81,1),(82,1),(97,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(96,1),(99,1)}
        94:{1,3,6}:{(86,1),(87,1),(90,1),(100,1)}
        95:{1,4,7}:{(87,1),(88,1),(91,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(93,1),(101,1),(102,1)}
        97:{3,4,6}:{(90,1),(91,1),(92,1),(100,1),(101,1),(102,1)}
        98:{2,5}:{(92,1),(102,1)}
        99:{4,7}:{(93,1),(101,1)}
       100:{1,4,6}:{(94,1),(95,1),(97,1),(103,1)}
       101:{4,6}:{(96,1),(99,1),(104,1)}
       102:{3,5}:{(97,1),(98,1),(103,1),(104,1)}
       103:{1,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1083 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(33,1),(75,1),(89,1),(93,1),(121,1),(131,1),(142,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(69,1),(148,1),(158,1),(167,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(20,1),(26,1),(59,1),(66,1),(70,1)}
         3:{2,4,5,6,7}:{(10,1),(40,1),(170,1)}
         4:{2,3,4,6,7}:{(1,1),(12,1),(13,1),(40,1),(86,1),(89,1),(139,1)}
         5:{3,4,5,6}:{(11,1),(14,1),(15,1),(47,1),(125,1),(172,1)}
         6:{2,3,5,6}:{(1,1),(12,1),(15,1),(16,1),(47,1),(75,1),(186,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(48,1)}
         8:{1,3,5,7}:{(2,1),(17,1),(18,1),(49,1),(131,1)}
         9:{1,2,3,5,7}:{(8,1),(19,1),(20,1),(53,1),(59,1)}
        10:{3,5,6,7}:{(3,1),(21,1),(22,1),(189,1)}
        11:{3,4,5,7}:{(5,1),(21,1),(24,1),(25,1),(65,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(25,1),(26,1),(65,1),(164,1)}
        13:{1,2,4,6,7}:{(4,1),(7,1),(26,1),(27,1),(66,1)}
        14:{1,4,5,6}:{(5,1),(24,1),(28,1),(152,1),(191,1)}
        15:{2,4,5,6}:{(5,1),(6,1),(25,1),(98,1),(148,1)}
        16:{1,2,5,6}:{(6,1),(7,1),(26,1),(30,1),(59,1)}
        17:{1,3,6}:{(7,1),(8,1),(158,1)}
        18:{1,3,4,7}:{(8,1),(20,1),(31,1),(66,1),(102,1)}
        19:{1,2,3,6}:{(9,1),(17,1),(37,1),(76,1)}
        20:{1,2,4,7}:{(9,1),(18,1),(33,1),(37,1)}
        21:{3,4,6,7}:{(10,1),(11,1),(39,1),(40,1),(86,1),(172,1)}
        22:{1,5,6,7}:{(10,1),(39,1),(202,1)}
        23:{2,3,5,6,7}:{(10,1),(12,1),(40,1),(41,1),(86,1),(122,1)}
        24:{1,4,5,7}:{(11,1),(14,1),(39,1),(42,1)}
        25:{2,4,5,7}:{(11,1),(12,1),(15,1),(40,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(16,1),(44,1)}
        27:{1,3,6,7}:{(13,1),(17,1),(44,1),(86,1)}
        28:{1,3,5,6}:{(14,1),(35,1),(42,1),(46,1),(47,1),(136,1),(181,1)}
        29:{1,2,4,5,6}:{(14,1),(15,1),(16,1),(43,1),(46,1),(47,1),(48,1),(82,1),(92,1),(132,1),(141,1),(186,1)}
        30:{1,3,5,6}:{(16,1),(17,1),(44,1),(47,1),(48,1),(49,1)}
        31:{1,3,4,6}:{(17,1),(18,1),(37,1),(48,1),(49,1),(81,1)}
        32:{1,3,4,5,7}:{(18,1),(38,1),(49,1),(50,1),(90,1),(95,1),(125,1),(131,1),(171,1),(178,1)}
        33:{2,3,4,7}:{(20,1),(52,1),(53,1),(102,1),(154,1)}
        34:{1,2,3,6,7}:{(19,1),(27,1),(55,1),(56,1),(100,1),(111,1),(158,1),(197,1),(199,1)}
        35:{1,3,4,6}:{(28,1),(51,1),(54,1),(57,1),(69,1)}
        36:{1,2,3,5,6}:{(19,1),(30,1),(55,1),(58,1),(59,1),(68,1),(99,1),(104,1),(105,1),(108,1),(158,1),(160,1),(162,1),(197,1)}
        37:{1,2,4,6}:{(19,1),(20,1),(31,1),(52,1),(59,1)}
        38:{1,2,4,5,7}:{(20,1),(32,1),(53,1),(59,1),(60,1),(98,1),(110,1),(154,1)}
        39:{1,4,6,7}:{(21,1),(22,1),(24,1),(61,1),(191,1)}
        40:{2,4,6,7}:{(21,1),(23,1),(25,1),(148,1)}
        41:{1,2,5,6,7}:{(22,1),(23,1),(26,1),(62,1),(63,1),(104,1),(164,1)}
        42:{1,3,5,7}:{(24,1),(28,1),(54,1),(61,1),(64,1),(65,1)}
        43:{1,2,4,5,7}:{(24,1),(25,1),(26,1),(29,1),(62,1),(64,1),(65,1),(66,1),(113,1),(114,1),(164,1)}
        44:{1,3,5,7}:{(26,1),(27,1),(30,1),(65,1),(66,1)}
        45:{1,3,4,6,7}:{(27,1),(31,1),(56,1),(66,1),(67,1),(102,1),(112,1),(116,1),(158,1)}
        46:{1,2,5,6}:{(28,1),(57,1),(64,1),(68,1),(160,1),(197,1)}
        47:{3,5,6}:{(29,1),(65,1),(69,1),(108,1),(158,1)}
        48:{1,4,6}:{(30,1),(66,1),(69,1),(70,1)}
        49:{1,3,5}:{(31,1),(59,1),(70,1),(108,1)}
        50:{1,3,4,6}:{(32,1),(60,1),(71,1),(116,1),(153,1),(158,1),(191,1)}
        51:{1,3,4,5}:{(35,1),(74,1),(93,1),(136,1),(174,1)}
        52:{2,3,4,6}:{(33,1),(37,1),(75,1),(76,1),(81,1),(126,1)}
        53:{2,3,5,7}:{(33,1),(38,1),(75,1),(76,1),(131,1)}
        54:{1,3,4,7}:{(35,1),(42,1),(77,1),(89,1)}
        55:{1,2,3,5,7}:{(34,1),(36,1),(44,1),(78,1),(79,1),(88,1),(127,1),(128,1),(131,1),(179,1),(185,1)}
        56:{1,2,4,6,7}:{(34,1),(37,1),(45,1),(73,1),(78,1),(79,1),(132,1),(139,1),(204,1)}
        57:{1,2,4,6}:{(35,1),(46,1),(74,1),(77,1),(80,1),(92,1)}
        58:{1,2,4,6}:{(36,1),(48,1),(78,1),(81,1),(82,1),(92,1),(126,1),(177,1)}
        59:{1,2,5}:{(37,1),(49,1),(75,1)}
        60:{1,2,4,6}:{(38,1),(50,1),(76,1),(83,1),(126,1)}
        61:{1,3,6,7}:{(39,1),(42,1),(85,1),(86,1),(181,1)}
        62:{1,2,4,6,7}:{(39,1),(40,1),(41,1),(43,1),(85,1),(86,1),(87,1),(132,1),(139,1)}
        63:{1,3,5,6,7}:{(41,1),(44,1),(86,1),(87,1),(91,1),(140,1)}
        64:{1,2,5,7}:{(42,1),(46,1),(77,1),(85,1),(88,1)}
        65:{3,5,7}:{(43,1),(47,1),(86,1),(89,1)}
        66:{1,4,7}:{(44,1),(48,1),(89,1)}
        67:{1,3,5,7}:{(45,1),(49,1),(79,1),(90,1),(91,1),(131,1),(140,1)}
        68:{2,3,5,6}:{(46,1),(47,1),(80,1),(88,1),(92,1),(135,1),(180,1),(186,1)}
        69:{3,4,6}:{(47,1),(48,1),(89,1),(92,1),(93,1)}
        70:{1,4,5}:{(48,1),(49,1),(93,1)}
        71:{1,3,5,6}:{(49,1),(50,1),(83,1),(94,1),(95,1),(137,1),(202,1)}
        72:{1,3,4,6,7}:{(50,1),(84,1),(95,1),(144,1),(178,1),(182,1),(204,1)}
        73:{2,3,4,6,7}:{(52,1),(56,1),(96,1),(100,1),(102,1),(148,1),(154,1),(158,1),(192,1)}
        74:{1,2,4,5}:{(51,1),(57,1),(97,1),(118,1),(150,1),(160,1)}
        75:{2,3,5}:{(52,1),(59,1),(98,1),(108,1)}
        76:{2,3,6}:{(53,1),(60,1),(158,1)}
        77:{1,2,4,7}:{(54,1),(57,1),(64,1),(101,1),(114,1)}
        78:{1,2,4,7}:{(55,1),(58,1),(66,1),(102,1),(114,1),(154,1),(196,1)}
        79:{1,2,5,7}:{(56,1),(59,1),(67,1),(96,1),(104,1),(164,1),(208,1)}
        80:{2,3,6}:{(57,1),(97,1),(101,1)}
        81:{3,4,6}:{(58,1),(102,1),(108,1),(158,1)}
        82:{1,2,4,5}:{(58,1),(59,1),(70,1),(98,1),(108,1),(118,1),(152,1),(160,1)}
        83:{1,2,5,6}:{(59,1),(60,1),(71,1),(99,1),(110,1)}
        84:{1,2,4,6,7}:{(60,1),(72,1),(100,1),(110,1),(154,1)}
        85:{1,2,6,7}:{(61,1),(64,1),(111,1),(197,1)}
        86:{3,6,7}:{(62,1),(65,1),(158,1)}
        87:{1,4,6,7}:{(63,1),(66,1),(112,1),(113,1),(116,1)}
        88:{2,3,5,7}:{(64,1),(65,1),(68,1),(101,1),(111,1),(114,1),(164,1)}
        89:{3,4,7}:{(65,1),(66,1),(69,1),(114,1)}
        90:{1,4,5,7}:{(66,1),(67,1),(70,1),(115,1),(116,1)}
        91:{1,3,5,6}:{(67,1),(104,1),(116,1),(158,1),(165,1)}
        92:{2,4,6}:{(68,1),(69,1),(114,1),(118,1)}
        93:{3,4,5}:{(69,1),(70,1),(108,1),(118,1)}
        94:{1,4,5,6}:{(70,1),(71,1),(116,1),(119,1),(120,1)}
        95:{1,3,5,7}:{(71,1),(72,1),(110,1),(120,1),(163,1),(208,1)}
        96:{2,3,5,7}:{(73,1),(75,1),(79,1),(121,1),(122,1),(131,1),(203,1)}
        97:{2,3,5}:{(74,1),(80,1),(124,1)}
        98:{2,4,5}:{(75,1),(125,1),(126,1)}
        99:{2,3,5,6}:{(75,1),(76,1),(83,1),(126,1),(127,1),(137,1)}
       100:{2,3,6,7}:{(76,1),(84,1),(127,1),(182,1)}
       101:{2,3,7}:{(77,1),(80,1)}
       102:{3,4,7}:{(78,1),(81,1),(131,1)}
       103:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(90,1),(121,1),(131,1),(132,1),(142,1),(171,1),(179,1)}
       104:{1,2,5,6}:{(79,1),(91,1),(122,1),(132,1),(186,1),(202,1)}
       105:{1,2,3,6}:{(80,1),(123,1),(128,1),(134,1),(205,1)}
       106:{2,3,4,6}:{(80,1),(81,1),(92,1),(124,1),(129,1),(134,1),(135,1),(180,1)}
       107:{1,3,4,6}:{(81,1),(130,1),(134,1),(136,1),(174,1),(177,1),(181,1),(205,1)}
       108:{3,5}:{(81,1),(82,1)}
       109:{1,2,4,5,6}:{(82,1),(83,1),(94,1),(126,1),(132,1),(137,1),(138,1),(145,1),(170,1),(177,1),(183,1),(202,1)}
       110:{1,2,5,7}:{(83,1),(84,1),(95,1),(127,1)}
       111:{2,3,6,7}:{(85,1),(86,1),(88,1),(139,1),(180,1)}
       112:{3,4,6,7}:{(86,1),(87,1),(89,1),(139,1),(140,1),(143,1)}
       113:{1,4,5,7}:{(87,1),(140,1),(141,1)}
       114:{2,4,7}:{(88,1),(89,1),(92,1)}
       115:{3,4,5,7}:{(89,1),(90,1),(93,1),(131,1),(140,1),(142,1),(143,1)}
       116:{1,4,6}:{(90,1),(91,1),(143,1)}
       117:{1,3,5,6,7}:{(91,1),(95,1),(133,1),(144,1),(182,1),(187,1)}
       118:{2,4,5}:{(92,1),(93,1),(135,1)}
       119:{3,4,5,6}:{(93,1),(94,1),(137,1),(143,1),(145,1),(146,1)}
       120:{1,4,5,7}:{(94,1),(95,1),(144,1),(146,1)}
       121:{2,4,5,7}:{(96,1),(98,1),(147,1),(148,1),(154,1)}
       122:{2,3,5,6}:{(96,1),(104,1),(148,1),(158,1),(189,1)}
       123:{1,2,3,5}:{(97,1),(105,1),(150,1),(160,1),(193,1)}
       124:{2,3,4}:{(97,1),(150,1)}
       125:{3,4,5}:{(98,1),(108,1),(152,1),(153,1)}
       126:{2,4,6}:{(98,1),(99,1),(153,1),(154,1)}
       127:{2,3,5,7}:{(99,1),(100,1),(110,1),(154,1),(163,1)}
       128:{1,2,3,7}:{(101,1),(105,1),(155,1),(209,1)}
       129:{2,3,4,7}:{(101,1),(102,1),(106,1),(114,1),(155,1),(156,1)}
       130:{1,3,4,7}:{(102,1),(107,1),(155,1),(157,1),(196,1),(209,1)}
       131:{3,5,7}:{(102,1),(103,1),(108,1),(158,1)}
       132:{1,2,4,6}:{(103,1),(104,1),(116,1),(148,1),(158,1),(167,1),(191,1),(197,1)}
       133:{1,2,5,6,7}:{(104,1),(110,1),(117,1),(149,1),(159,1),(201,1),(208,1)}
       134:{1,2,4,6}:{(105,1),(106,1),(107,1),(150,1),(155,1),(160,1),(197,1)}
       135:{2,3,5}:{(106,1),(108,1),(118,1),(160,1)}
       136:{1,3,5}:{(107,1),(108,1),(152,1),(160,1)}
       137:{3,5,6}:{(108,1),(109,1),(153,1),(158,1),(163,1)}
       138:{1,2,4,5,7}:{(109,1),(110,1),(120,1),(154,1),(159,1),(163,1),(169,1),(190,1),(196,1),(200,1),(208,1)}
       139:{2,4,6,7}:{(111,1),(112,1),(114,1),(164,1),(167,1)}
       140:{3,5,7}:{(112,1),(113,1),(164,1),(165,1)}
       141:{1,4,5,6}:{(113,1),(116,1),(165,1)}
       142:{2,4,5,7}:{(114,1),(115,1),(118,1),(156,1),(164,1),(167,1)}
       143:{3,4,6}:{(115,1),(116,1),(158,1),(165,1),(167,1)}
       144:{1,4,6,7}:{(116,1),(117,1),(120,1),(168,1)}
       145:{2,4,5,6}:{(118,1),(119,1),(161,1),(167,1),(169,1)}
       146:{3,4,5,7}:{(119,1),(120,1),(163,1),(168,1),(169,1)}
       147:{3,4,5,7}:{(121,1),(125,1),(131,1),(171,1),(172,1),(178,1),(203,1)}
       148:{2,4,6}:{(121,1),(122,1),(172,1)}
       149:{2,3,5,6,7}:{(122,1),(127,1),(133,1),(173,1),(182,1),(203,1)}
       150:{1,2,4}:{(123,1),(124,1),(174,1)}
       151:{2,3,4,5}:{(124,1),(125,1),(135,1),(175,1),(176,1)}
       152:{1,4,5}:{(125,1),(136,1),(177,1)}
       153:{3,4,6}:{(125,1),(126,1),(137,1),(177,1),(178,1)}
       154:{2,4,7}:{(126,1),(127,1),(178,1)}
       155:{1,2,4,7}:{(128,1),(129,1),(130,1),(134,1),(179,1)}
       156:{2,3,5,7}:{(129,1),(131,1),(135,1),(142,1),(179,1),(180,1)}
       157:{1,3,5,7}:{(130,1),(131,1),(136,1),(171,1),(179,1),(181,1)}
       158:{3,6}:{(131,1),(132,1)}
       159:{1,2,4,6,7}:{(132,1),(133,1),(138,1),(144,1),(173,1),(182,1),(188,1),(204,1),(207,1)}
       160:{1,2,5}:{(134,1),(135,1),(136,1)}
       161:{2,3,5,6}:{(135,1),(137,1),(145,1),(176,1),(180,1),(183,1),(184,1)}
       162:{1,3,5,6}:{(136,1),(137,1),(177,1),(181,1),(183,1),(185,1),(202,1),(205,1)}
       163:{3,5,7}:{(137,1),(138,1),(178,1),(182,1)}
       164:{2,5,7}:{(139,1),(140,1),(186,1)}
       165:{3,5,6}:{(140,1),(141,1),(143,1),(186,1)}
       166:{1,4,5,6,7}:{(141,1),(144,1),(187,1)}
       167:{2,4,6}:{(142,1),(143,1),(180,1),(186,1)}
       168:{3,4,6,7}:{(143,1),(144,1),(146,1),(182,1),(187,1),(188,1)}
       169:{2,4,5,7}:{(145,1),(146,1),(184,1),(188,1)}
       170:{2,4,5,6}:{(148,1),(189,1),(190,1)}
       171:{1,4,5,7}:{(147,1),(152,1),(157,1),(191,1),(196,1),(208,1)}
       172:{3,4,6}:{(147,1),(148,1),(158,1),(189,1),(191,1)}
       173:{2,4,6,7}:{(148,1),(149,1),(154,1),(190,1),(192,1)}
       174:{1,3,4}:{(150,1),(193,1)}
       175:{1,2,4,5}:{(150,1),(151,1),(152,1),(160,1),(193,1),(194,1)}
       176:{2,3,4,6}:{(151,1),(153,1),(161,1),(194,1),(195,1)}
       177:{1,4,6}:{(152,1),(153,1),(162,1),(196,1)}
       178:{3,4,7}:{(153,1),(154,1),(163,1),(196,1)}
       179:{1,2,5,7}:{(155,1),(156,1),(157,1),(160,1),(197,1)}
       180:{2,3,6}:{(156,1),(158,1),(167,1),(197,1)}
       181:{1,3,6}:{(157,1),(158,1),(191,1),(197,1)}
       182:{3,6,7}:{(158,1),(159,1),(163,1)}
       183:{1,2,5,6}:{(160,1),(161,1),(162,1),(194,1),(197,1),(200,1)}
       184:{2,3,5,7}:{(161,1),(163,1),(169,1),(195,1),(198,1),(200,1)}
       185:{1,3,5,7}:{(162,1),(163,1),(196,1),(199,1),(200,1),(208,1),(209,1)}
       186:{2,5,6}:{(164,1),(165,1),(167,1)}
       187:{3,5,6,7}:{(165,1),(166,1),(168,1),(201,1)}
       188:{2,4,6,7}:{(167,1),(168,1),(169,1),(198,1),(201,1)}
       189:{3,5,6}:{(170,1),(172,1),(202,1),(203,1)}
       190:{2,4,5,7}:{(170,1),(173,1),(203,1)}
       191:{1,4,6}:{(171,1),(172,1),(181,1),(202,1)}
       192:{3,4,6,7}:{(172,1),(173,1),(178,1),(182,1),(203,1),(204,1)}
       193:{1,3,5}:{(174,1),(175,1),(205,1)}
       194:{1,2,4,6}:{(175,1),(176,1),(177,1),(183,1),(205,1),(206,1)}
       195:{2,3,4,7}:{(176,1),(178,1),(184,1),(206,1)}
       196:{1,4,7}:{(177,1),(178,1),(185,1)}
       197:{1,2,6}:{(179,1),(180,1),(181,1)}
       198:{2,3,6,7}:{(180,1),(182,1),(184,1),(188,1),(207,1)}
       199:{1,3,6,7}:{(181,1),(182,1),(185,1),(204,1),(207,1)}
       200:{1,2,5,7}:{(183,1),(184,1),(185,1),(206,1),(207,1)}
       201:{2,5,6,7}:{(186,1),(187,1),(188,1)}
       202:{1,5,6}:{(189,1),(191,1),(208,1)}
       203:{3,5,7}:{(189,1),(190,1),(192,1),(208,1)}
       204:{1,4,6,7}:{(191,1),(192,1),(196,1),(199,1),(208,1)}
       205:{1,3,6}:{(193,1),(194,1),(209,1)}
       206:{1,2,4,7}:{(194,1),(195,1),(196,1),(200,1),(209,1)}
       207:{1,2,6,7}:{(197,1),(198,1),(199,1),(200,1)}
       208:{1,5,7}:{(202,1),(203,1),(204,1)}
       209:{1,3,7}:{(205,1),(206,1)}

1084 :   0:{1,2,4,5,6}:{(1,1),(2,1),(10,1),(11,1),(13,1),(40,1),(78,1),(79,1),(80,1),(81,1),(99,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(59,1),(90,1),(101,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(26,1),(27,1),(29,1),(66,1),(67,1),(68,1)}
         3:{3,4,6}:{(1,1),(9,1),(10,1),(11,1),(12,1),(44,1),(76,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(13,1),(14,1),(18,1),(44,1),(53,1),(72,1),(79,1),(95,1),(97,1),(103,1)}
         5:{2,3,5,6}:{(1,1),(11,1),(13,1),(15,1),(37,1),(44,1),(51,1),(74,1),(80,1),(85,1),(97,1),(99,1)}
         6:{3,5,7}:{(1,1),(2,1),(12,1),(16,1)}
         7:{1,2,4,6,7}:{(2,1),(16,1),(17,1),(46,1),(47,1),(49,1),(50,1),(78,1)}
         8:{1,3,4,6}:{(10,1),(18,1),(19,1),(20,1),(44,1),(53,1),(76,1),(96,1)}
         9:{3,4,5}:{(3,1),(22,1),(23,1),(59,1),(101,1)}
        10:{1,4,6}:{(3,1),(4,1),(22,1),(26,1),(86,1),(102,1)}
        11:{2,4,6}:{(3,1),(5,1),(23,1),(27,1),(69,1),(102,1)}
        12:{3,4,7}:{(3,1),(6,1),(26,1),(27,1),(64,1)}
        13:{1,2,5,6}:{(4,1),(5,1),(25,1),(29,1),(33,1),(55,1),(71,1),(88,1)}
        14:{1,3,5,7}:{(4,1),(6,1),(26,1),(29,1),(30,1),(64,1),(66,1),(92,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(27,1),(29,1),(31,1),(64,1),(67,1),(92,1)}
        16:{3,6,7}:{(6,1),(7,1),(90,1)}
        17:{1,2,5,6,7}:{(7,1),(32,1),(66,1),(67,1),(91,1)}
        18:{1,3,5}:{(8,1),(22,1),(33,1),(59,1),(101,1)}
        19:{1,2,4,6}:{(8,1),(33,1),(35,1),(36,1),(69,1),(71,1),(93,1)}
        20:{1,3,4,7}:{(8,1),(26,1),(34,1),(36,1),(64,1),(89,1)}
        21:{2,3,4,6}:{(11,1),(37,1),(38,1),(39,1),(44,1),(74,1),(76,1),(96,1)}
        22:{1,4,5}:{(9,1),(10,1),(18,1),(103,1),(104,1)}
        23:{2,4,5}:{(9,1),(11,1),(37,1),(99,1),(104,1)}
        24:{3,4,5,7}:{(9,1),(12,1),(41,1),(42,1),(43,1),(48,1),(77,1),(98,1),(104,1)}
        25:{1,2,4,6}:{(10,1),(11,1),(13,1),(40,1),(44,1),(45,1)}
        26:{1,4,7}:{(10,1),(12,1),(14,1),(98,1)}
        27:{2,4,7}:{(11,1),(12,1),(15,1),(98,1)}
        28:{3,4,6,7}:{(12,1),(16,1),(43,1),(46,1),(47,1),(48,1),(50,1),(82,1),(96,1),(98,1)}
        29:{1,2,5,7}:{(13,1),(14,1),(15,1),(45,1),(49,1)}
        30:{1,3,6,7}:{(14,1),(16,1),(46,1),(49,1),(53,1),(82,1),(95,1)}
        31:{2,3,6,7}:{(15,1),(16,1),(47,1),(49,1),(74,1),(82,1),(85,1)}
        32:{3,5,6,7}:{(16,1),(17,1),(48,1),(50,1),(97,1)}
        33:{1,2,5}:{(18,1),(19,1),(51,1),(99,1)}
        34:{1,3,5,7}:{(18,1),(20,1),(41,1),(52,1),(53,1),(77,1)}
        35:{2,3,6}:{(19,1),(44,1),(51,1),(54,1)}
        36:{1,2,4,7}:{(19,1),(20,1),(52,1),(54,1),(84,1)}
        37:{2,3,5}:{(21,1),(23,1),(55,1),(59,1),(101,1)}
        38:{1,2,4,6}:{(21,1),(55,1),(57,1),(58,1),(86,1),(88,1),(100,1)}
        39:{2,3,4,7}:{(21,1),(27,1),(56,1),(58,1),(64,1),(89,1)}
        40:{1,2,4,5}:{(22,1),(23,1),(25,1),(33,1),(55,1),(59,1),(69,1),(86,1)}
        41:{1,4,5,7}:{(22,1),(24,1),(26,1),(34,1),(61,1),(66,1)}
        42:{2,4,5,7}:{(23,1),(24,1),(27,1),(56,1),(62,1),(67,1)}
        43:{3,4,6}:{(24,1),(61,1),(62,1),(63,1),(90,1),(102,1)}
        44:{3,6}:{(25,1),(59,1),(64,1)}
        45:{1,2,4,7}:{(25,1),(26,1),(27,1),(29,1),(64,1)}
        46:{1,4,6,7}:{(26,1),(28,1),(30,1),(61,1),(66,1),(100,1)}
        47:{2,4,6,7}:{(27,1),(28,1),(31,1),(62,1),(67,1),(93,1)}
        48:{3,5,7}:{(28,1),(63,1),(66,1),(67,1),(68,1),(101,1)}
        49:{1,2,6,7}:{(29,1),(30,1),(31,1),(71,1),(88,1)}
        50:{4,6,7}:{(32,1),(68,1),(102,1)}
        51:{2,3,5}:{(33,1),(35,1),(59,1),(69,1)}
        52:{1,2,5,7}:{(33,1),(34,1),(36,1),(70,1),(71,1)}
        53:{1,3,6}:{(34,1),(61,1),(71,1),(90,1)}
        54:{2,3,7}:{(35,1),(36,1),(64,1)}
        55:{1,2,5}:{(37,1),(38,1),(72,1),(103,1)}
        56:{2,3,5,7}:{(37,1),(39,1),(42,1),(73,1),(74,1),(77,1)}
        57:{1,3,6}:{(38,1),(44,1),(72,1),(75,1)}
        58:{1,2,4,7}:{(38,1),(39,1),(73,1),(75,1),(94,1)}
        59:{3,5}:{(40,1),(44,1),(76,1)}
        60:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(45,1),(52,1),(73,1),(77,1),(78,1),(83,1),(84,1),(94,1),(98,1),(99,1),(103,1),(104,1)}
        61:{1,4,6}:{(41,1),(43,1),(53,1),(79,1)}
        62:{2,4,6}:{(42,1),(43,1),(74,1),(80,1)}
        63:{3,5,6}:{(43,1),(48,1),(79,1),(80,1),(81,1)}
        64:{3,7}:{(44,1),(45,1)}
        65:{1,2,4,6,7}:{(45,1),(46,1),(47,1),(49,1),(78,1),(82,1),(83,1),(98,1)}
        66:{1,5,7}:{(46,1),(48,1),(79,1),(103,1)}
        67:{2,5,7}:{(47,1),(48,1),(80,1),(99,1)}
        68:{4,5,7}:{(48,1),(50,1),(81,1),(98,1),(104,1)}
        69:{2,4}:{(51,1),(76,1)}
        70:{2,3,5,7}:{(51,1),(52,1),(54,1),(77,1),(84,1),(85,1),(99,1)}
        71:{1,2,6}:{(52,1),(53,1),(85,1)}
        72:{1,3,5}:{(55,1),(57,1),(59,1),(86,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(58,1),(87,1),(88,1)}
        74:{2,3,6}:{(56,1),(62,1),(88,1),(90,1)}
        75:{1,3,7}:{(57,1),(58,1),(64,1)}
        76:{3,4}:{(59,1),(69,1),(86,1)}
        77:{3,5,7}:{(59,1),(60,1),(64,1),(89,1),(90,1),(101,1)}
        78:{1,2,4,6}:{(60,1),(61,1),(62,1),(71,1),(88,1),(90,1),(91,1),(93,1),(100,1),(102,1)}
        79:{1,5,6}:{(61,1),(63,1),(66,1)}
        80:{2,5,6}:{(62,1),(63,1),(67,1)}
        81:{4,5,6}:{(63,1),(68,1),(102,1)}
        82:{3,6,7}:{(64,1),(65,1),(90,1),(92,1)}
        83:{1,2,5,7}:{(65,1),(66,1),(67,1),(91,1),(92,1)}
        84:{2,4,7}:{(69,1),(70,1),(89,1),(93,1)}
        85:{2,3,6}:{(70,1),(71,1),(90,1),(93,1)}
        86:{1,4}:{(72,1),(76,1)}
        87:{1,3,5,7}:{(72,1),(73,1),(75,1),(77,1),(94,1),(95,1),(103,1)}
        88:{1,2,6}:{(73,1),(74,1),(95,1)}
        89:{3,4,7}:{(76,1),(77,1),(84,1),(94,1),(96,1),(98,1)}
        90:{3,6}:{(77,1),(78,1)}
        91:{1,2,5,6}:{(78,1),(79,1),(80,1),(83,1),(97,1),(99,1),(103,1)}
        92:{3,5,7}:{(82,1),(83,1),(97,1),(98,1)}
        93:{2,4,6}:{(84,1),(85,1),(96,1),(99,1)}
        94:{1,4,7}:{(86,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(87,1),(88,1),(90,1),(100,1)}
        96:{3,4,6}:{(89,1),(90,1),(93,1),(100,1),(101,1),(102,1)}
        97:{3,5,6}:{(90,1),(91,1),(92,1),(101,1),(102,1)}
        98:{4,7}:{(92,1),(102,1)}
        99:{2,5}:{(93,1),(101,1)}
       100:{1,4,6}:{(94,1),(95,1),(96,1),(103,1)}
       101:{3,5}:{(96,1),(99,1),(103,1),(104,1)}
       102:{4,6}:{(97,1),(98,1),(104,1)}
       103:{1,5}:{(100,1),(101,1)}
       104:{4,5}:{(101,1),(102,1)}

1085 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(26,1),(160,1),(171,1),(207,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(63,1),(68,1),(116,1)}
         2:{3,4,5,7}:{(0,1),(10,1),(11,1),(12,1),(43,1),(141,1)}
         3:{1,4,5,6}:{(0,1),(7,1),(11,1),(181,1),(216,1)}
         4:{2,4,5,6}:{(0,1),(8,1),(12,1),(144,1),(197,1)}
         5:{2,3,4,6}:{(1,1),(8,1),(14,1),(15,1),(44,1)}
         6:{1,2,4,5}:{(1,1),(15,1),(16,1),(48,1),(82,1),(89,1)}
         7:{1,3,5,6}:{(3,1),(17,1),(18,1),(19,1),(26,1),(155,1),(204,1)}
         8:{2,3,5,6}:{(4,1),(5,1),(20,1),(21,1),(26,1),(116,1),(175,1)}
         9:{4,5,6,7}:{(22,1),(111,1),(226,1)}
        10:{3,4,6,7}:{(2,1),(22,1),(23,1),(24,1),(61,1),(111,1),(207,1)}
        11:{1,4,5,7}:{(2,1),(3,1),(18,1),(23,1)}
        12:{2,4,5,7}:{(2,1),(4,1),(20,1),(24,1)}
        13:{1,2,4,5,6}:{(3,1),(4,1),(19,1),(21,1),(25,1),(26,1),(56,1),(59,1),(104,1),(165,1),(167,1),(169,1),(171,1)}
        14:{2,3,4,7}:{(5,1),(20,1),(27,1),(62,1)}
        15:{1,2,4,6}:{(5,1),(6,1),(21,1),(27,1),(28,1),(59,1)}
        16:{1,3,5}:{(6,1),(28,1),(30,1)}
        17:{1,3,4,6}:{(7,1),(31,1),(32,1),(33,1),(44,1)}
        18:{1,3,5,7}:{(7,1),(11,1),(32,1),(34,1),(35,1),(43,1)}
        19:{1,2,5,6}:{(7,1),(33,1),(35,1),(36,1),(127,1),(184,1)}
        20:{2,3,5,7}:{(8,1),(12,1),(14,1),(37,1),(38,1),(43,1)}
        21:{1,2,5,6}:{(8,1),(15,1),(38,1),(39,1),(89,1),(147,1)}
        22:{3,5,6,7}:{(9,1),(10,1),(40,1),(41,1),(219,1)}
        23:{1,4,6,7}:{(10,1),(11,1),(34,1),(40,1),(216,1)}
        24:{2,4,6,7}:{(10,1),(12,1),(37,1),(41,1),(197,1)}
        25:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(35,1),(38,1),(42,1),(43,1),(78,1),(81,1),(135,1),(138,1),(141,1)}
        26:{3,5,6}:{(13,1),(43,1),(44,1),(131,1),(190,1)}
        27:{1,2,4,7}:{(14,1),(15,1),(38,1),(46,1),(81,1)}
        28:{1,3,6}:{(15,1),(16,1),(46,1)}
        29:{1,2,3,5}:{(16,1),(45,1),(48,1),(89,1),(92,1)}
        30:{1,3,4}:{(16,1),(48,1)}
        31:{1,3,4,5}:{(17,1),(50,1),(63,1),(151,1),(155,1)}
        32:{1,3,4,7}:{(17,1),(18,1),(51,1),(62,1)}
        33:{1,2,4,6}:{(17,1),(19,1),(50,1),(51,1),(52,1),(56,1)}
        34:{1,3,6,7}:{(18,1),(23,1),(54,1),(61,1),(204,1)}
        35:{1,2,5,7}:{(18,1),(19,1),(51,1),(54,1),(55,1)}
        36:{2,3,5,6}:{(19,1),(26,1),(52,1),(55,1),(56,1),(100,1),(158,1),(167,1)}
        37:{2,3,6,7}:{(20,1),(24,1),(57,1),(61,1),(175,1)}
        38:{1,2,5,7}:{(20,1),(21,1),(27,1),(57,1),(58,1)}
        39:{1,3,5,6}:{(21,1),(26,1),(28,1),(58,1),(59,1),(67,1),(119,1),(169,1)}
        40:{1,5,6,7}:{(22,1),(23,1),(224,1)}
        41:{2,5,6,7}:{(22,1),(24,1),(213,1)}
        42:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(54,1),(57,1),(60,1),(61,1),(105,1),(108,1),(111,1),(165,1)}
        43:{3,5,7}:{(25,1),(26,1),(61,1),(62,1)}
        44:{3,4,6}:{(26,1),(56,1),(59,1),(62,1),(63,1)}
        45:{1,2,3,6}:{(28,1),(29,1),(64,1),(65,1),(121,1)}
        46:{1,3,7}:{(27,1),(28,1)}
        47:{1,3,4,6}:{(28,1),(30,1),(59,1),(65,1),(66,1),(67,1),(101,1),(119,1)}
        48:{1,2,4}:{(29,1),(30,1),(68,1)}
        49:{1,3,4,5}:{(30,1),(67,1),(69,1),(70,1),(160,1)}
        50:{1,2,4,5}:{(31,1),(33,1),(71,1),(79,1),(123,1),(127,1)}
        51:{1,2,4,7}:{(32,1),(33,1),(35,1),(73,1),(78,1)}
        52:{2,3,6}:{(33,1),(71,1),(73,1)}
        53:{1,2,3,5,6}:{(36,1),(39,1),(45,1),(72,1),(75,1),(76,1),(89,1),(127,1),(131,1),(146,1),(147,1),(183,1),(184,1),(190,1),(192,1)}
        54:{1,2,6,7}:{(34,1),(35,1),(77,1),(184,1)}
        55:{2,3,5,7}:{(35,1),(36,1),(43,1),(73,1),(77,1),(78,1),(135,1)}
        56:{2,4,6}:{(36,1),(44,1),(78,1),(79,1)}
        57:{1,2,6,7}:{(37,1),(38,1),(80,1),(147,1)}
        58:{1,3,5,7}:{(38,1),(39,1),(43,1),(46,1),(80,1),(81,1),(138,1)}
        59:{1,4,6}:{(39,1),(44,1),(81,1),(82,1)}
        60:{1,2,5,6,7}:{(40,1),(41,1),(42,1),(83,1),(135,1),(138,1),(192,1)}
        61:{3,6,7}:{(42,1),(43,1),(190,1)}
        62:{3,4,7}:{(43,1),(44,1),(78,1),(81,1)}
        63:{3,4,5}:{(44,1),(79,1),(82,1),(131,1)}
        64:{1,2,3,7}:{(45,1),(46,1),(88,1),(150,1)}
        65:{1,2,4,6}:{(45,1),(47,1),(48,1),(87,1),(88,1),(89,1),(147,1)}
        66:{1,3,4,7}:{(46,1),(47,1),(81,1),(88,1),(90,1),(130,1)}
        67:{1,3,5}:{(47,1),(82,1),(89,1),(131,1)}
        68:{2,3,4}:{(48,1),(92,1)}
        69:{1,2,4,5}:{(48,1),(49,1),(89,1),(92,1),(93,1),(144,1)}
        70:{1,3,4,6}:{(49,1),(91,1),(93,1),(94,1),(188,1)}
        71:{2,3,5}:{(50,1),(52,1),(96,1)}
        72:{1,2,3,6}:{(52,1),(95,1),(97,1),(98,1),(200,1)}
        73:{2,3,7}:{(51,1),(52,1)}
        74:{2,3,4,6}:{(52,1),(56,1),(96,1),(98,1),(99,1),(100,1),(101,1),(158,1)}
        75:{1,2,3,5,7}:{(53,1),(55,1),(58,1),(64,1),(97,1),(102,1),(103,1),(117,1),(156,1),(162,1),(164,1),(176,1),(205,1)}
        76:{1,2,4,6}:{(53,1),(56,1),(59,1),(101,1),(103,1),(104,1),(174,1),(203,1)}
        77:{2,3,6,7}:{(54,1),(55,1),(61,1),(105,1),(158,1)}
        78:{2,4,7}:{(55,1),(56,1),(62,1)}
        79:{2,4,5}:{(56,1),(63,1),(100,1)}
        80:{1,3,6,7}:{(57,1),(58,1),(61,1),(108,1),(119,1)}
        81:{1,4,7}:{(58,1),(59,1),(62,1)}
        82:{1,4,5}:{(59,1),(63,1),(67,1)}
        83:{3,5,6,7}:{(60,1),(61,1),(111,1),(112,1),(210,1)}
        84:{3,4,6,7}:{(61,1),(62,1),(105,1),(108,1),(111,1),(112,1),(113,1)}
        85:{3,4,5,7}:{(62,1),(63,1),(106,1),(109,1),(112,1),(113,1),(162,1),(209,1)}
        86:{3,4,5,6}:{(63,1),(107,1),(110,1),(113,1),(114,1),(163,1),(226,1)}
        87:{2,3,4,6}:{(65,1),(68,1),(101,1),(115,1),(116,1),(121,1),(174,1),(175,1)}
        88:{1,2,4,7}:{(64,1),(65,1),(66,1),(115,1),(117,1)}
        89:{1,2,5}:{(65,1),(67,1),(116,1)}
        90:{1,3,5,7}:{(66,1),(67,1),(109,1),(117,1),(119,1),(162,1)}
        91:{1,3,5,6}:{(67,1),(70,1),(110,1),(118,1),(119,1),(120,1),(163,1)}
        92:{2,3,5}:{(68,1),(69,1),(121,1)}
        93:{1,2,4,6}:{(69,1),(70,1),(118,1),(121,1),(122,1),(174,1)}
        94:{1,3,4,7}:{(70,1),(120,1),(122,1),(208,1)}
        95:{1,2,3,5}:{(71,1),(72,1),(123,1),(127,1),(178,1)}
        96:{2,3,4}:{(71,1),(123,1)}
        97:{1,2,3,7}:{(72,1),(73,1),(126,1),(215,1)}
        98:{1,2,4,6}:{(72,1),(74,1),(123,1),(125,1),(126,1),(127,1),(184,1)}
        99:{2,3,4,7}:{(73,1),(74,1),(78,1),(126,1),(128,1),(130,1)}
       100:{2,3,5}:{(74,1),(79,1),(127,1),(131,1)}
       101:{3,4,6}:{(76,1),(130,1),(131,1),(190,1)}
       102:{1,2,3,6,7}:{(75,1),(77,1),(80,1),(132,1),(147,1),(184,1),(190,1),(199,1),(218,1)}
       103:{1,2,4,7}:{(75,1),(76,1),(78,1),(81,1),(130,1),(198,1),(217,1)}
       104:{1,2,4,5}:{(76,1),(79,1),(82,1),(89,1),(127,1),(131,1),(144,1),(181,1)}
       105:{2,4,6,7}:{(77,1),(78,1),(84,1),(135,1),(136,1)}
       106:{2,4,5,7}:{(78,1),(79,1),(85,1),(128,1),(135,1),(136,1)}
       107:{2,4,5,6}:{(79,1),(86,1),(129,1),(136,1),(137,1)}
       108:{1,4,6,7}:{(80,1),(81,1),(84,1),(138,1),(139,1)}
       109:{1,4,5,7}:{(81,1),(82,1),(85,1),(90,1),(138,1),(139,1)}
       110:{1,4,5,6}:{(82,1),(86,1),(91,1),(139,1),(140,1)}
       111:{4,6,7}:{(83,1),(141,1),(221,1)}
       112:{3,5,7}:{(84,1),(135,1),(138,1),(141,1),(142,1)}
       113:{3,4,6}:{(85,1),(136,1),(139,1),(142,1),(190,1),(221,1)}
       114:{3,4,5,7}:{(86,1),(137,1),(140,1),(143,1),(191,1),(230,1)}
       115:{2,3,4,7}:{(87,1),(88,1),(130,1),(145,1),(150,1),(198,1)}
       116:{2,3,5}:{(87,1),(89,1),(131,1),(144,1)}
       117:{1,2,5,7}:{(88,1),(89,1),(90,1),(145,1),(147,1)}
       118:{1,2,5,6}:{(89,1),(91,1),(93,1),(146,1),(147,1),(148,1)}
       119:{1,3,6}:{(90,1),(139,1),(147,1),(190,1)}
       120:{1,3,5,7}:{(91,1),(94,1),(140,1),(148,1),(149,1),(191,1)}
       121:{2,3,6}:{(92,1),(93,1),(150,1)}
       122:{1,2,4,7}:{(93,1),(94,1),(148,1),(150,1),(198,1)}
       123:{1,2,4}:{(95,1),(96,1),(151,1)}
       124:{2,3,4,5}:{(96,1),(100,1),(152,1),(153,1),(160,1)}
       125:{1,3,4,6}:{(98,1),(101,1),(151,1),(154,1),(155,1),(200,1),(203,1),(204,1)}
       126:{1,2,4,7}:{(97,1),(98,1),(99,1),(154,1),(156,1)}
       127:{1,2,5}:{(98,1),(100,1),(155,1)}
       128:{2,3,5,7}:{(99,1),(100,1),(106,1),(156,1),(158,1),(162,1)}
       129:{2,3,5,6}:{(100,1),(107,1),(153,1),(157,1),(158,1),(159,1),(163,1)}
       130:{3,4,7}:{(101,1),(103,1),(162,1)}
       131:{3,5}:{(101,1),(104,1)}
       132:{1,2,4,6,7}:{(102,1),(103,1),(105,1),(108,1),(161,1),(164,1),(165,1),(214,1),(225,1)}
       133:{1,2,4,5,7}:{(103,1),(104,1),(106,1),(109,1),(117,1),(156,1),(162,1),(164,1),(165,1),(173,1),(202,1),(209,1)}
       134:{1,2,4,5,6}:{(104,1),(107,1),(110,1),(118,1),(157,1),(163,1),(165,1),(166,1),(174,1),(203,1),(213,1),(224,1),(226,1)}
       135:{2,5,7}:{(105,1),(112,1),(167,1)}
       136:{2,4,6}:{(106,1),(113,1),(158,1),(167,1)}
       137:{2,4,5,7}:{(107,1),(114,1),(159,1),(168,1)}
       138:{1,5,7}:{(108,1),(112,1),(169,1)}
       139:{1,4,6}:{(109,1),(113,1),(119,1),(169,1)}
       140:{1,4,5,7}:{(110,1),(114,1),(120,1),(170,1)}
       141:{4,5,7}:{(111,1),(112,1),(171,1)}
       142:{3,5,6}:{(112,1),(113,1),(167,1),(169,1),(171,1)}
       143:{3,4,6,7}:{(113,1),(114,1),(168,1),(170,1),(172,1),(211,1),(228,1)}
       144:{2,4,5}:{(116,1),(160,1),(174,1)}
       145:{2,3,5,7}:{(115,1),(116,1),(117,1),(162,1),(173,1),(175,1)}
       146:{2,3,5,6}:{(116,1),(118,1),(121,1),(163,1),(174,1),(175,1),(176,1),(213,1)}
       147:{1,2,6}:{(117,1),(119,1),(175,1)}
       148:{1,2,5,7}:{(118,1),(120,1),(122,1),(176,1),(177,1)}
       149:{1,3,6,7}:{(119,1),(120,1),(170,1),(177,1),(211,1)}
       150:{2,3,7}:{(121,1),(122,1)}
       151:{1,3,4}:{(123,1),(178,1)}
       152:{1,2,4,5}:{(123,1),(124,1),(127,1),(178,1),(179,1),(181,1)}
       153:{2,3,4,6}:{(124,1),(129,1),(179,1),(180,1),(188,1)}
       154:{1,3,4,7}:{(125,1),(126,1),(130,1),(182,1),(215,1),(217,1)}
       155:{1,3,5}:{(125,1),(127,1),(131,1),(181,1)}
       156:{1,2,5,7}:{(126,1),(127,1),(128,1),(182,1),(184,1)}
       157:{1,2,5,6}:{(127,1),(129,1),(179,1),(183,1),(184,1),(185,1)}
       158:{2,3,6}:{(128,1),(136,1),(184,1),(190,1)}
       159:{2,3,5,7}:{(129,1),(137,1),(180,1),(185,1),(186,1),(191,1)}
       160:{3,4,5}:{(131,1),(144,1),(181,1),(188,1)}
       161:{3,4,6,7}:{(130,1),(132,1),(189,1),(190,1),(221,1)}
       162:{3,5,7}:{(130,1),(131,1),(133,1),(190,1)}
       163:{3,5,6}:{(131,1),(134,1),(188,1),(190,1),(191,1)}
       164:{1,2,5,7}:{(132,1),(135,1),(138,1),(189,1),(192,1),(223,1),(229,1)}
       165:{1,2,4,6}:{(133,1),(136,1),(139,1),(147,1),(184,1),(190,1),(192,1),(197,1),(216,1),(221,1)}
       166:{1,2,4,5,7}:{(134,1),(137,1),(140,1),(148,1),(185,1),(191,1),(193,1),(198,1),(217,1),(223,1),(229,1),(230,1)}
       167:{2,5,6}:{(135,1),(136,1),(142,1)}
       168:{2,4,6,7}:{(136,1),(137,1),(143,1),(186,1),(194,1)}
       169:{1,5,6}:{(138,1),(139,1),(142,1)}
       170:{1,4,6,7}:{(139,1),(140,1),(143,1),(149,1),(195,1)}
       171:{4,5,6}:{(141,1),(142,1),(221,1)}
       172:{3,5,6,7}:{(142,1),(143,1),(194,1),(195,1),(196,1)}
       173:{2,4,5,7}:{(144,1),(145,1),(187,1),(197,1),(198,1),(223,1)}
       174:{2,4,6}:{(144,1),(146,1),(188,1),(198,1)}
       175:{2,3,6}:{(145,1),(147,1),(190,1),(197,1)}
       176:{2,3,5,7}:{(146,1),(148,1),(150,1),(191,1),(198,1),(199,1),(223,1)}
       177:{1,2,6,7}:{(147,1),(148,1),(149,1),(199,1)}
       178:{1,3,5}:{(151,1),(152,1),(200,1)}
       179:{1,2,4,6}:{(152,1),(153,1),(157,1),(200,1),(201,1),(203,1)}
       180:{2,3,4,7}:{(153,1),(159,1),(201,1),(208,1)}
       181:{1,4,5}:{(155,1),(160,1),(203,1)}
       182:{1,3,5,7}:{(154,1),(155,1),(156,1),(162,1),(202,1),(204,1)}
       183:{1,3,5,6}:{(155,1),(157,1),(163,1),(200,1),(203,1),(204,1),(205,1),(224,1)}
       184:{1,2,6}:{(156,1),(158,1),(204,1)}
       185:{1,2,5,7}:{(157,1),(159,1),(201,1),(205,1),(206,1)}
       186:{2,3,6,7}:{(158,1),(159,1),(168,1),(206,1),(211,1)}
       187:{3,4,5,7}:{(160,1),(162,1),(173,1),(202,1),(207,1),(208,1),(209,1),(227,1)}
       188:{3,4,6}:{(160,1),(163,1),(174,1),(203,1),(208,1)}
       189:{3,5,7}:{(161,1),(164,1),(209,1),(210,1)}
       190:{3,6}:{(162,1),(165,1)}
       191:{3,5,7}:{(163,1),(166,1),(208,1),(211,1)}
       192:{1,2,5,6}:{(164,1),(165,1),(167,1),(169,1),(210,1),(213,1),(224,1)}
       193:{1,2,4,6,7}:{(165,1),(166,1),(168,1),(170,1),(177,1),(206,1),(211,1),(212,1),(214,1),(225,1),(228,1)}
       194:{2,5,6,7}:{(167,1),(168,1),(172,1)}
       195:{1,5,6,7}:{(169,1),(170,1),(172,1)}
       196:{4,5,6,7}:{(171,1),(172,1),(228,1)}
       197:{2,4,6}:{(173,1),(175,1),(207,1),(213,1)}
       198:{2,4,7}:{(174,1),(176,1),(208,1)}
       199:{2,3,6,7}:{(175,1),(176,1),(177,1),(211,1),(214,1)}
       200:{1,3,6}:{(178,1),(179,1),(215,1)}
       201:{1,2,4,7}:{(179,1),(180,1),(185,1),(215,1),(217,1)}
       202:{1,4,5,7}:{(181,1),(182,1),(187,1),(216,1),(217,1),(229,1)}
       203:{1,4,6}:{(181,1),(183,1),(188,1),(217,1)}
       204:{1,3,6}:{(182,1),(184,1),(190,1),(216,1)}
       205:{1,3,5,7}:{(183,1),(185,1),(191,1),(215,1),(217,1),(218,1),(229,1)}
       206:{1,2,6,7}:{(184,1),(185,1),(186,1),(218,1)}
       207:{3,4,6}:{(187,1),(190,1),(197,1),(216,1),(219,1),(221,1)}
       208:{3,4,7}:{(188,1),(191,1),(198,1),(217,1)}
       209:{4,5,7}:{(189,1),(221,1)}
       210:{3,5,6}:{(189,1),(190,1),(192,1),(221,1)}
       211:{3,6,7}:{(190,1),(191,1),(193,1)}
       212:{1,2,5,6,7}:{(192,1),(193,1),(194,1),(195,1),(222,1),(223,1),(229,1)}
       213:{2,5,6}:{(197,1),(219,1),(223,1)}
       214:{2,4,6,7}:{(197,1),(198,1),(199,1),(220,1),(223,1)}
       215:{1,3,7}:{(200,1),(201,1)}
       216:{1,4,6}:{(202,1),(204,1),(207,1),(224,1)}
       217:{1,4,7}:{(203,1),(205,1),(208,1)}
       218:{1,3,6,7}:{(204,1),(205,1),(206,1),(211,1),(225,1)}
       219:{3,5,6}:{(207,1),(213,1),(224,1),(226,1),(227,1)}
       220:{3,4,6,7}:{(207,1),(208,1),(211,1),(214,1),(225,1),(227,1),(228,1)}
       221:{4,6}:{(209,1),(210,1)}
       222:{3,5,6,7}:{(210,1),(211,1),(212,1),(227,1),(228,1)}
       223:{2,5,7}:{(213,1),(214,1),(227,1)}
       224:{1,5,6}:{(216,1),(219,1),(229,1)}
       225:{1,4,6,7}:{(216,1),(217,1),(218,1),(220,1),(229,1)}
       226:{4,5,6}:{(219,1),(221,1),(230,1)}
       227:{3,5,7}:{(219,1),(220,1),(223,1),(229,1),(230,1)}
       228:{4,6,7}:{(221,1),(222,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(227,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

1086 :   0:{2,4,5,6,7}:{(1,1),(9,1),(194,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(202,1)}
         2:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(31,1),(192,1)}
         3:{1,5,6,7}:{(1,1),(8,1),(206,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(27,1),(31,1),(160,1)}
         5:{3,4,5,6}:{(7,1),(11,1),(12,1),(36,1),(165,1),(192,1)}
         6:{2,3,4,5,7}:{(13,1),(14,1),(27,1),(61,1),(71,1),(74,1),(105,1),(120,1),(155,1),(159,1)}
         7:{3,4,5,7}:{(2,1),(5,1),(15,1),(16,1),(44,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(200,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(179,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(19,1),(20,1),(43,1),(84,1),(135,1)}
        11:{1,4,5,6}:{(5,1),(15,1),(21,1),(181,1),(200,1)}
        12:{2,4,5,6}:{(5,1),(16,1),(22,1),(145,1),(179,1)}
        13:{2,3,4,6}:{(6,1),(22,1),(24,1),(52,1),(131,1),(177,1),(179,1)}
        14:{1,2,4,5,7}:{(6,1),(24,1),(25,1),(43,1),(55,1),(81,1),(92,1),(95,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(11,1),(26,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(12,1),(27,1)}
        17:{1,3,6,7}:{(8,1),(26,1),(29,1),(31,1),(190,1)}
        18:{2,3,4,6,7}:{(9,1),(13,1),(27,1),(30,1),(31,1),(61,1),(63,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(28,1),(29,1),(31,1),(32,1),(63,1),(156,1)}
        20:{1,3,5,6,7}:{(10,1),(31,1),(32,1),(60,1),(65,1),(111,1)}
        21:{1,3,5,6}:{(11,1),(26,1),(33,1),(34,1),(36,1),(162,1),(190,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(27,1),(35,1),(36,1),(110,1),(120,1)}
        23:{1,2,4,5,6}:{(11,1),(12,1),(28,1),(34,1),(35,1),(36,1),(66,1),(69,1),(70,1),(110,1),(116,1),(156,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(35,1),(37,1),(70,1)}
        25:{1,3,5,7}:{(14,1),(37,1),(39,1),(73,1),(155,1)}
        26:{1,3,5,7}:{(15,1),(17,1),(21,1),(41,1),(42,1),(44,1)}
        27:{2,3,5,7}:{(16,1),(18,1),(22,1),(43,1),(44,1),(84,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(19,1),(23,1),(42,1),(43,1),(44,1),(48,1),(80,1),(81,1),(84,1)}
        29:{1,2,6,7}:{(17,1),(42,1),(45,1),(174,1)}
        30:{1,2,4,6,7}:{(18,1),(24,1),(43,1),(46,1),(81,1)}
        31:{3,6,7}:{(19,1),(44,1),(177,1)}
        32:{1,4,6,7}:{(20,1),(47,1),(48,1),(81,1),(132,1)}
        33:{1,3,4,6}:{(21,1),(40,1),(41,1),(49,1),(52,1)}
        34:{1,2,5,6}:{(21,1),(42,1),(49,1),(50,1),(139,1),(174,1)}
        35:{1,2,5,6}:{(22,1),(24,1),(43,1),(51,1),(95,1)}
        36:{3,5,6}:{(23,1),(44,1),(52,1),(141,1),(177,1)}
        37:{1,3,6}:{(24,1),(25,1),(177,1)}
        38:{1,2,3,5,7}:{(25,1),(53,1),(55,1),(95,1),(97,1)}
        39:{1,3,4,7}:{(25,1),(54,1),(55,1),(81,1),(129,1)}
        40:{1,3,4,5}:{(33,1),(57,1),(71,1),(149,1),(162,1)}
        41:{1,3,4,7}:{(26,1),(33,1),(58,1),(61,1)}
        42:{1,2,5,7}:{(26,1),(29,1),(34,1),(58,1),(59,1)}
        43:{1,2,5,7}:{(27,1),(30,1),(35,1),(60,1)}
        44:{3,5,7}:{(28,1),(31,1),(36,1),(61,1)}
        45:{2,3,6,7}:{(29,1),(31,1),(59,1),(63,1),(154,1)}
        46:{1,3,6,7}:{(30,1),(31,1),(37,1),(60,1)}
        47:{3,4,6,7}:{(31,1),(32,1),(61,1),(63,1),(65,1),(107,1)}
        48:{1,4,5,7}:{(32,1),(65,1),(66,1)}
        49:{1,2,4,6}:{(33,1),(34,1),(57,1),(58,1),(67,1),(69,1)}
        50:{2,3,5,6}:{(34,1),(36,1),(59,1),(67,1),(69,1),(110,1),(114,1),(154,1)}
        51:{1,3,5,6}:{(35,1),(36,1),(37,1),(60,1),(70,1),(73,1)}
        52:{3,4,6}:{(36,1),(61,1),(69,1),(70,1),(71,1)}
        53:{1,2,3,6}:{(37,1),(38,1),(72,1),(123,1)}
        54:{1,3,4,6}:{(37,1),(39,1),(70,1),(72,1),(73,1),(115,1)}
        55:{1,2,4,7}:{(38,1),(39,1),(72,1),(74,1)}
        56:{1,3,4,5,7}:{(39,1),(73,1),(75,1),(76,1),(106,1),(122,1),(155,1),(165,1),(189,1),(198,1)}
        57:{1,2,4,5}:{(40,1),(49,1),(77,1),(91,1),(125,1),(139,1)}
        58:{1,2,4,7}:{(41,1),(42,1),(49,1),(78,1),(80,1)}
        59:{2,3,5,7}:{(42,1),(44,1),(45,1),(50,1),(78,1),(80,1),(84,1)}
        60:{1,3,5,7}:{(43,1),(44,1),(46,1),(51,1),(81,1)}
        61:{3,4,7}:{(44,1),(52,1),(80,1),(81,1)}
        62:{1,2,3,6,7}:{(45,1),(46,1),(53,1),(79,1),(83,1),(148,1),(174,1),(177,1),(201,1)}
        63:{2,4,6,7}:{(45,1),(47,1),(80,1),(84,1),(131,1)}
        64:{1,3,4,6,7}:{(46,1),(47,1),(54,1),(81,1),(83,1),(85,1),(129,1),(132,1),(177,1)}
        65:{3,5,7}:{(47,1),(48,1),(84,1),(86,1)}
        66:{1,4,5,6}:{(48,1),(86,1),(132,1)}
        67:{2,3,6}:{(49,1),(77,1),(78,1)}
        68:{1,2,3,5,6}:{(50,1),(51,1),(53,1),(79,1),(88,1),(90,1),(95,1),(135,1),(139,1),(141,1),(146,1),(174,1),(177,1),(182,1)}
        69:{2,4,6}:{(50,1),(52,1),(80,1),(91,1)}
        70:{1,4,6}:{(51,1),(52,1),(81,1),(92,1)}
        71:{3,4,5}:{(52,1),(91,1),(92,1),(141,1)}
        72:{1,2,4,6}:{(53,1),(54,1),(55,1),(94,1),(95,1)}
        73:{1,3,5}:{(54,1),(92,1),(95,1),(141,1)}
        74:{2,3,4,7}:{(55,1),(94,1),(97,1),(129,1),(186,1)}
        75:{1,2,4,5,7}:{(55,1),(56,1),(95,1),(97,1),(98,1),(145,1),(147,1),(186,1)}
        76:{1,3,4,6}:{(56,1),(96,1),(98,1),(132,1),(177,1),(184,1),(200,1)}
        77:{2,3,5}:{(57,1),(67,1),(101,1)}
        78:{2,3,7}:{(58,1),(67,1)}
        79:{1,2,3,5,7}:{(59,1),(60,1),(62,1),(68,1),(102,1),(104,1),(109,1),(153,1),(155,1),(169,1),(197,1)}
        80:{2,4,7}:{(59,1),(61,1),(69,1)}
        81:{1,4,7}:{(60,1),(61,1),(70,1)}
        82:{3,4,5,7}:{(61,1),(65,1),(71,1),(105,1),(106,1),(107,1),(155,1)}
        83:{1,2,4,6,7}:{(62,1),(63,1),(64,1),(72,1),(104,1),(108,1),(109,1),(156,1),(207,1)}
        84:{2,5,7}:{(63,1),(65,1),(110,1)}
        85:{1,3,5,7}:{(64,1),(65,1),(73,1),(106,1),(109,1),(111,1),(155,1)}
        86:{3,5,6}:{(65,1),(66,1),(107,1),(110,1)}
        87:{1,4,5,6,7}:{(66,1),(112,1),(158,1)}
        88:{1,2,3,6}:{(67,1),(100,1),(102,1),(113,1),(187,1)}
        89:{2,3,4,6}:{(67,1),(69,1),(101,1),(103,1),(113,1),(114,1),(115,1),(154,1)}
        90:{1,2,4,6}:{(68,1),(69,1),(70,1),(104,1),(115,1),(116,1),(168,1),(196,1)}
        91:{2,4,5}:{(69,1),(71,1),(114,1)}
        92:{1,4,5}:{(70,1),(71,1),(73,1)}
        93:{3,4,5,6}:{(71,1),(107,1),(117,1),(118,1),(119,1),(166,1)}
        94:{2,3,4,6}:{(72,1),(74,1),(115,1),(120,1),(123,1),(168,1)}
        95:{1,2,5}:{(72,1),(73,1),(120,1)}
        96:{1,3,5,6}:{(73,1),(76,1),(118,1),(121,1),(122,1),(166,1),(206,1)}
        97:{2,3,5,7}:{(74,1),(75,1),(120,1),(123,1),(155,1)}
        98:{1,2,4,6}:{(75,1),(76,1),(121,1),(123,1),(168,1)}
        99:{1,3,4,6,7}:{(76,1),(122,1),(124,1),(158,1),(193,1),(198,1),(207,1)}
       100:{1,2,3,5}:{(77,1),(88,1),(125,1),(139,1),(170,1)}
       101:{2,3,4}:{(77,1),(125,1)}
       102:{1,2,3,7}:{(78,1),(88,1),(127,1),(199,1)}
       103:{2,3,4,7}:{(78,1),(80,1),(89,1),(127,1),(128,1),(129,1)}
       104:{1,2,4,7}:{(79,1),(80,1),(81,1),(90,1),(129,1),(186,1),(205,1)}
       105:{2,4,5,7}:{(80,1),(82,1),(84,1),(91,1),(128,1),(131,1)}
       106:{1,4,5,7}:{(81,1),(82,1),(85,1),(92,1),(132,1)}
       107:{3,4,6}:{(82,1),(86,1),(131,1),(132,1),(177,1)}
       108:{2,3,4,6,7}:{(83,1),(94,1),(129,1),(134,1),(148,1),(177,1),(179,1),(186,1),(203,1)}
       109:{1,2,5,7}:{(83,1),(84,1),(85,1),(95,1),(134,1),(135,1),(209,1)}
       110:{2,5,6}:{(84,1),(86,1),(131,1)}
       111:{1,3,5,6}:{(85,1),(86,1),(132,1),(135,1),(177,1)}
       112:{3,5,6,7}:{(86,1),(87,1),(133,1),(136,1)}
       113:{1,2,4,6}:{(88,1),(89,1),(125,1),(127,1),(138,1),(139,1),(174,1)}
       114:{2,3,5}:{(89,1),(91,1),(139,1),(141,1)}
       115:{3,4,6}:{(90,1),(129,1),(141,1),(177,1)}
       116:{1,2,4,5}:{(90,1),(91,1),(92,1),(95,1),(139,1),(141,1),(145,1),(181,1)}
       117:{2,4,5,6}:{(91,1),(93,1),(131,1),(140,1),(143,1)}
       118:{1,4,5,6}:{(92,1),(93,1),(96,1),(132,1),(144,1)}
       119:{3,4,5,7}:{(93,1),(133,1),(143,1),(144,1),(185,1)}
       120:{2,3,5}:{(94,1),(95,1),(141,1),(145,1)}
       121:{1,2,5,6}:{(95,1),(96,1),(98,1),(146,1),(147,1)}
       122:{1,3,5,7}:{(96,1),(99,1),(144,1),(147,1),(185,1),(209,1)}
       123:{2,3,6}:{(97,1),(98,1),(177,1)}
       124:{1,2,4,6,7}:{(98,1),(99,1),(147,1),(148,1),(186,1)}
       125:{1,2,4}:{(100,1),(101,1),(149,1)}
       126:{2,3,4,5}:{(101,1),(114,1),(150,1),(151,1),(165,1)}
       127:{1,2,4,7}:{(102,1),(103,1),(113,1),(152,1),(153,1)}
       128:{2,3,5,7}:{(103,1),(105,1),(114,1),(153,1),(154,1),(155,1)}
       129:{3,4,7}:{(104,1),(115,1),(155,1)}
       130:{1,2,4,5,7}:{(104,1),(105,1),(106,1),(109,1),(116,1),(153,1),(155,1),(156,1),(159,1),(189,1)}
       131:{2,4,6}:{(105,1),(107,1),(110,1),(154,1)}
       132:{1,4,6}:{(106,1),(107,1),(111,1)}
       133:{3,4,6,7}:{(107,1),(112,1),(119,1),(157,1),(158,1),(193,1)}
       134:{2,3,5,7}:{(108,1),(109,1),(120,1),(155,1),(159,1),(160,1),(208,1)}
       135:{1,2,5,6}:{(109,1),(110,1),(111,1),(156,1),(160,1),(206,1)}
       136:{2,5,6,7}:{(110,1),(112,1),(157,1)}
       137:{1,3,5,6,7}:{(111,1),(112,1),(122,1),(158,1),(161,1),(193,1)}
       138:{1,3,4,6}:{(113,1),(115,1),(149,1),(152,1),(162,1),(187,1),(190,1),(196,1)}
       139:{1,2,5}:{(113,1),(114,1),(162,1)}
       140:{2,3,5,6}:{(114,1),(117,1),(151,1),(154,1),(163,1),(164,1),(166,1)}
       141:{3,5}:{(115,1),(116,1)}
       142:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(121,1),(156,1),(163,1),(166,1),(167,1),(168,1),(194,1),(196,1),(206,1)}
       143:{2,4,5,7}:{(117,1),(119,1),(157,1),(164,1)}
       144:{1,4,5,7}:{(118,1),(119,1),(122,1),(158,1)}
       145:{2,4,5}:{(120,1),(165,1),(168,1)}
       146:{2,3,5,6}:{(120,1),(121,1),(123,1),(166,1),(168,1),(169,1)}
       147:{1,2,5,7}:{(121,1),(122,1),(124,1),(169,1)}
       148:{2,3,6,7}:{(123,1),(124,1),(169,1),(193,1)}
       149:{1,3,4}:{(125,1),(170,1)}
       150:{1,2,4,5}:{(125,1),(126,1),(139,1),(170,1),(171,1),(181,1)}
       151:{2,3,4,6}:{(126,1),(140,1),(171,1),(172,1),(184,1)}
       152:{1,3,4,7}:{(127,1),(129,1),(138,1),(173,1),(199,1),(205,1)}
       153:{1,2,5,7}:{(127,1),(128,1),(139,1),(173,1),(174,1)}
       154:{2,3,6}:{(128,1),(131,1),(174,1),(177,1)}
       155:{3,5,7}:{(129,1),(130,1),(141,1),(177,1)}
       156:{1,2,4,6}:{(130,1),(131,1),(132,1),(135,1),(174,1),(177,1),(179,1),(200,1)}
       157:{2,4,6,7}:{(131,1),(133,1),(136,1),(143,1),(175,1)}
       158:{1,4,6,7}:{(132,1),(133,1),(137,1),(144,1)}
       159:{2,4,5,7}:{(134,1),(145,1),(176,1),(179,1),(186,1)}
       160:{2,3,5,6}:{(134,1),(135,1),(177,1),(179,1),(202,1)}
       161:{1,2,5,6,7}:{(135,1),(136,1),(137,1),(147,1),(178,1),(180,1),(209,1)}
       162:{1,3,5}:{(138,1),(139,1),(141,1),(181,1)}
       163:{1,2,5,6}:{(139,1),(140,1),(171,1),(174,1),(182,1),(183,1)}
       164:{2,3,5,7}:{(140,1),(143,1),(172,1),(175,1),(183,1),(185,1)}
       165:{3,4,5}:{(141,1),(145,1),(181,1),(184,1)}
       166:{3,5,6}:{(141,1),(142,1),(177,1),(184,1),(185,1)}
       167:{1,2,4,5,7}:{(142,1),(143,1),(144,1),(147,1),(178,1),(183,1),(185,1),(186,1),(204,1),(205,1),(209,1)}
       168:{2,4,6}:{(145,1),(146,1),(184,1),(186,1)}
       169:{2,3,5,7}:{(146,1),(147,1),(148,1),(185,1),(186,1)}
       170:{1,3,5}:{(149,1),(150,1),(187,1)}
       171:{1,2,4,6}:{(150,1),(151,1),(163,1),(187,1),(188,1),(196,1)}
       172:{2,3,4,7}:{(151,1),(164,1),(188,1),(198,1)}
       173:{1,3,5,7}:{(152,1),(153,1),(155,1),(162,1),(189,1),(190,1)}
       174:{1,2,6}:{(153,1),(154,1),(190,1)}
       175:{2,3,6,7}:{(154,1),(157,1),(164,1),(191,1),(193,1)}
       176:{3,4,5,7}:{(155,1),(159,1),(165,1),(189,1),(192,1),(198,1),(208,1)}
       177:{3,6}:{(155,1),(156,1)}
       178:{1,2,4,6,7}:{(156,1),(157,1),(158,1),(161,1),(167,1),(191,1),(193,1),(195,1),(207,1)}
       179:{2,4,6}:{(159,1),(160,1),(192,1)}
       180:{2,3,5,6,7}:{(160,1),(161,1),(169,1),(193,1),(195,1),(208,1)}
       181:{1,4,5}:{(162,1),(165,1),(196,1)}
       182:{1,3,5,6}:{(162,1),(163,1),(166,1),(187,1),(190,1),(196,1),(197,1),(206,1)}
       183:{1,2,5,7}:{(163,1),(164,1),(188,1),(191,1),(197,1)}
       184:{3,4,6}:{(165,1),(166,1),(168,1),(196,1),(198,1)}
       185:{3,5,7}:{(166,1),(167,1),(193,1),(198,1)}
       186:{2,4,7}:{(168,1),(169,1),(198,1)}
       187:{1,3,6}:{(170,1),(171,1),(199,1)}
       188:{1,2,4,7}:{(171,1),(172,1),(183,1),(199,1),(205,1)}
       189:{1,4,5,7}:{(173,1),(176,1),(181,1),(200,1),(205,1),(209,1)}
       190:{1,3,6}:{(173,1),(174,1),(177,1),(200,1)}
       191:{1,2,6,7}:{(174,1),(175,1),(183,1),(201,1)}
       192:{3,4,6}:{(176,1),(177,1),(179,1),(200,1),(202,1)}
       193:{3,6,7}:{(177,1),(178,1),(185,1)}
       194:{2,4,5,6}:{(179,1),(202,1),(204,1)}
       195:{2,4,6,7}:{(179,1),(180,1),(186,1),(203,1),(204,1)}
       196:{1,4,6}:{(181,1),(182,1),(184,1),(205,1)}
       197:{1,3,5,7}:{(182,1),(183,1),(185,1),(199,1),(201,1),(205,1),(209,1)}
       198:{3,4,7}:{(184,1),(185,1),(186,1),(205,1)}
       199:{1,3,7}:{(187,1),(188,1)}
       200:{1,4,6}:{(189,1),(190,1),(192,1),(206,1)}
       201:{1,3,6,7}:{(190,1),(191,1),(193,1),(197,1),(207,1)}
       202:{3,5,6}:{(192,1),(194,1),(206,1),(208,1)}
       203:{3,4,6,7}:{(192,1),(193,1),(195,1),(198,1),(207,1),(208,1)}
       204:{2,4,5,7}:{(194,1),(195,1),(208,1)}
       205:{1,4,7}:{(196,1),(197,1),(198,1)}
       206:{1,5,6}:{(200,1),(202,1),(209,1)}
       207:{1,4,6,7}:{(200,1),(201,1),(203,1),(205,1),(209,1)}
       208:{3,5,7}:{(202,1),(203,1),(204,1),(209,1)}
       209:{1,5,7}:{(206,1),(207,1),(208,1)}

1087 :   0:{2,3,4,5,7}:{(1,1),(2,1),(8,1),(34,1),(72,1),(76,1),(83,1),(119,1),(122,1),(127,1)}
         1:{1,2,4,5,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(50,1),(56,1),(60,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(61,1),(145,1),(148,1),(153,1)}
         3:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(27,1),(65,1),(72,1),(116,1)}
         4:{1,3,5,7}:{(1,1),(10,1),(11,1),(39,1),(122,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(40,1)}
         6:{2,3,5,6}:{(2,1),(8,1),(12,1),(13,1),(41,1),(76,1),(167,1)}
         7:{1,2,4,6,7}:{(3,1),(5,1),(16,1),(17,1),(50,1)}
         8:{2,3,5,7}:{(3,1),(6,1),(17,1),(18,1),(51,1),(143,1)}
         9:{1,2,3,5,7}:{(4,1),(19,1),(20,1),(53,1),(56,1)}
        10:{1,3,4,7}:{(4,1),(19,1),(22,1),(50,1),(94,1)}
        11:{1,3,6}:{(4,1),(5,1),(148,1)}
        12:{1,2,5,6}:{(5,1),(6,1),(17,1),(23,1),(56,1)}
        13:{2,4,5,6}:{(6,1),(18,1),(25,1),(103,1),(145,1)}
        14:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(28,1),(65,1),(118,1)}
        15:{2,4,5,6,7}:{(27,1),(28,1),(168,1)}
        16:{1,3,6,7}:{(7,1),(11,1),(31,1),(65,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(12,1),(31,1)}
        18:{2,4,5,7}:{(8,1),(13,1),(27,1),(33,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(34,1),(36,1)}
        20:{1,2,3,6}:{(9,1),(11,1),(36,1),(75,1)}
        21:{1,3,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(71,1),(81,1),(122,1),(131,1),(171,1),(178,1)}
        22:{1,3,4,6}:{(10,1),(11,1),(36,1),(39,1),(40,1),(80,1)}
        23:{1,3,5,6}:{(11,1),(12,1),(31,1),(39,1),(40,1),(41,1)}
        24:{1,2,4,5,6}:{(12,1),(13,1),(32,1),(40,1),(41,1),(42,1),(79,1),(85,1),(86,1),(114,1),(121,1),(167,1)}
        25:{3,4,5,6}:{(13,1),(33,1),(41,1),(42,1),(131,1),(170,1)}
        26:{1,2,5,6,7}:{(14,1),(17,1),(43,1),(44,1),(46,1),(92,1),(143,1)}
        27:{2,4,6,7}:{(14,1),(18,1),(45,1),(145,1)}
        28:{3,5,6,7}:{(15,1),(45,1),(46,1),(189,1)}
        29:{1,2,3,6,7}:{(16,1),(20,1),(47,1),(48,1),(90,1),(101,1),(148,1),(192,1),(194,1)}
        30:{1,3,4,6,7}:{(16,1),(22,1),(47,1),(49,1),(50,1),(88,1),(94,1),(96,1),(148,1)}
        31:{1,3,5,7}:{(16,1),(17,1),(23,1),(50,1),(51,1)}
        32:{1,2,4,5,7}:{(17,1),(18,1),(24,1),(44,1),(50,1),(51,1),(52,1),(87,1),(99,1),(100,1),(143,1)}
        33:{3,4,5,7}:{(18,1),(25,1),(45,1),(51,1),(52,1)}
        34:{2,3,4,7}:{(19,1),(53,1),(54,1),(94,1),(155,1)}
        35:{1,2,4,5,7}:{(19,1),(21,1),(53,1),(55,1),(56,1),(103,1),(104,1),(155,1)}
        36:{1,2,4,6}:{(19,1),(20,1),(22,1),(54,1),(56,1)}
        37:{1,2,3,5,6}:{(20,1),(23,1),(48,1),(56,1),(57,1),(63,1),(92,1),(102,1),(106,1),(148,1),(160,1),(162,1),(163,1),(194,1)}
        38:{1,3,4,6}:{(21,1),(55,1),(59,1),(96,1),(148,1),(156,1),(191,1)}
        39:{1,3,5}:{(22,1),(56,1),(60,1),(106,1)}
        40:{1,4,6}:{(23,1),(50,1),(60,1),(61,1)}
        41:{3,5,6}:{(24,1),(51,1),(61,1),(106,1),(148,1)}
        42:{1,4,5,6}:{(25,1),(52,1),(62,1),(157,1),(191,1)}
        43:{1,3,5,6,7}:{(26,1),(31,1),(64,1),(65,1),(70,1),(115,1)}
        44:{1,2,4,6,7}:{(26,1),(27,1),(32,1),(64,1),(65,1),(66,1),(116,1),(117,1),(121,1)}
        45:{3,4,6,7}:{(27,1),(28,1),(33,1),(65,1),(66,1),(170,1)}
        46:{1,5,6,7}:{(28,1),(66,1),(202,1)}
        47:{1,2,4,6,7}:{(29,1),(30,1),(36,1),(67,1),(68,1),(69,1),(116,1),(121,1),(203,1)}
        48:{1,2,3,5,7}:{(29,1),(31,1),(37,1),(68,1),(69,1),(74,1),(122,1),(129,1),(175,1),(176,1),(182,1)}
        49:{1,3,5,7}:{(30,1),(39,1),(68,1),(70,1),(71,1),(115,1),(122,1)}
        50:{1,4,7}:{(31,1),(40,1),(72,1)}
        51:{3,5,7}:{(32,1),(41,1),(65,1),(72,1)}
        52:{1,4,5,7}:{(33,1),(42,1),(66,1),(73,1)}
        53:{2,3,5,7}:{(34,1),(35,1),(75,1),(76,1),(122,1)}
        54:{2,3,4,6}:{(34,1),(36,1),(75,1),(76,1),(80,1),(130,1)}
        55:{1,2,4,6}:{(35,1),(38,1),(75,1),(78,1),(130,1)}
        56:{1,2,5}:{(36,1),(39,1),(76,1)}
        57:{1,2,4,6}:{(37,1),(40,1),(69,1),(79,1),(80,1),(85,1),(130,1),(179,1)}
        58:{1,3,4,6,7}:{(38,1),(77,1),(81,1),(125,1),(172,1),(178,1),(203,1)}
        59:{1,3,5,6}:{(38,1),(39,1),(78,1),(81,1),(82,1),(133,1),(202,1)}
        60:{1,4,5}:{(39,1),(40,1),(83,1)}
        61:{3,4,6}:{(40,1),(41,1),(72,1),(83,1),(85,1)}
        62:{1,3,5,6}:{(41,1),(42,1),(73,1),(84,1),(86,1),(134,1),(173,1)}
        63:{2,3,5,6}:{(41,1),(74,1),(85,1),(86,1),(135,1),(140,1),(167,1),(174,1)}
        64:{1,4,6,7}:{(43,1),(50,1),(87,1),(88,1),(96,1)}
        65:{3,6,7}:{(44,1),(51,1),(148,1)}
        66:{1,4,6,7}:{(45,1),(46,1),(52,1),(89,1),(191,1)}
        67:{2,3,4,6,7}:{(47,1),(54,1),(91,1),(94,1),(101,1),(145,1),(148,1),(155,1),(190,1)}
        68:{1,2,5,7}:{(47,1),(49,1),(56,1),(91,1),(92,1),(143,1),(208,1)}
        69:{1,2,4,7}:{(48,1),(50,1),(57,1),(94,1),(99,1),(155,1),(195,1)}
        70:{1,3,5,6}:{(49,1),(92,1),(96,1),(142,1),(148,1)}
        71:{1,4,5,7}:{(49,1),(50,1),(60,1),(96,1),(97,1)}
        72:{3,4,7}:{(50,1),(51,1),(61,1),(99,1)}
        73:{1,3,5,7}:{(51,1),(52,1),(62,1),(89,1),(98,1),(100,1)}
        74:{2,3,5,7}:{(51,1),(63,1),(90,1),(99,1),(100,1),(143,1),(154,1)}
        75:{2,3,6}:{(53,1),(55,1),(148,1)}
        76:{2,3,5}:{(54,1),(56,1),(103,1),(106,1)}
        77:{1,2,4,6,7}:{(55,1),(58,1),(101,1),(104,1),(155,1)}
        78:{1,2,5,6}:{(55,1),(56,1),(59,1),(102,1),(104,1)}
        79:{1,2,4,5}:{(56,1),(57,1),(60,1),(103,1),(106,1),(112,1),(157,1),(162,1)}
        80:{3,4,6}:{(57,1),(94,1),(106,1),(148,1)}
        81:{1,3,5,7}:{(58,1),(59,1),(104,1),(109,1),(159,1),(208,1)}
        82:{1,4,5,6}:{(59,1),(60,1),(96,1),(109,1),(110,1)}
        83:{3,4,5}:{(60,1),(61,1),(106,1),(112,1)}
        84:{1,3,4,6}:{(61,1),(62,1),(98,1),(111,1),(113,1)}
        85:{2,4,6}:{(61,1),(63,1),(99,1),(112,1)}
        86:{1,2,5,6}:{(62,1),(63,1),(100,1),(113,1),(162,1),(194,1)}
        87:{1,4,5,7}:{(64,1),(114,1),(115,1)}
        88:{3,4,6,7}:{(64,1),(65,1),(72,1),(115,1),(116,1),(126,1)}
        89:{1,3,6,7}:{(65,1),(66,1),(73,1),(117,1),(173,1)}
        90:{2,3,6,7}:{(65,1),(74,1),(116,1),(117,1),(174,1)}
        91:{2,3,5,7}:{(67,1),(68,1),(76,1),(118,1),(119,1),(122,1),(201,1)}
        92:{1,2,5,6}:{(68,1),(70,1),(118,1),(121,1),(167,1),(202,1)}
        93:{1,2,4,5,7}:{(68,1),(69,1),(71,1),(79,1),(119,1),(121,1),(122,1),(127,1),(171,1),(175,1)}
        94:{3,4,7}:{(69,1),(80,1),(122,1)}
        95:{1,3,5,6,7}:{(70,1),(81,1),(120,1),(125,1),(166,1),(172,1)}
        96:{1,4,6}:{(70,1),(71,1),(126,1)}
        97:{3,4,5,7}:{(71,1),(72,1),(83,1),(115,1),(122,1),(126,1),(127,1)}
        98:{1,3,4,7}:{(72,1),(73,1),(84,1),(128,1)}
        99:{2,4,7}:{(72,1),(74,1),(85,1)}
       100:{1,2,5,7}:{(73,1),(74,1),(86,1),(117,1),(128,1)}
       101:{2,3,6,7}:{(75,1),(77,1),(129,1),(172,1)}
       102:{2,3,5,6}:{(75,1),(76,1),(78,1),(129,1),(130,1),(133,1)}
       103:{2,4,5}:{(76,1),(130,1),(131,1)}
       104:{1,2,5,7}:{(77,1),(78,1),(81,1),(129,1)}
       105:{1,2,4,5,6}:{(78,1),(79,1),(82,1),(121,1),(130,1),(132,1),(133,1),(138,1),(168,1),(179,1),(184,1),(202,1)}
       106:{3,5}:{(79,1),(80,1)}
       107:{1,3,4,6}:{(80,1),(123,1),(134,1),(136,1),(173,1),(179,1),(206,1),(207,1)}
       108:{2,3,4,6}:{(80,1),(85,1),(124,1),(135,1),(136,1),(140,1),(174,1),(186,1)}
       109:{1,4,5,7}:{(81,1),(82,1),(125,1),(137,1)}
       110:{3,4,5,6}:{(82,1),(83,1),(126,1),(133,1),(137,1),(138,1)}
       111:{1,3,4,5}:{(83,1),(84,1),(134,1),(139,1),(207,1)}
       112:{2,4,5}:{(83,1),(85,1),(135,1)}
       113:{1,2,4,6}:{(84,1),(85,1),(86,1),(128,1),(139,1),(140,1)}
       114:{1,4,5,6}:{(87,1),(96,1),(142,1)}
       115:{3,5,7}:{(87,1),(88,1),(142,1),(143,1)}
       116:{2,4,6,7}:{(88,1),(90,1),(99,1),(143,1),(153,1)}
       117:{1,2,6,7}:{(89,1),(90,1),(100,1),(194,1)}
       118:{2,3,5,6}:{(91,1),(92,1),(145,1),(148,1),(189,1)}
       119:{2,4,5,7}:{(91,1),(103,1),(145,1),(146,1),(155,1)}
       120:{1,2,5,6,7}:{(92,1),(95,1),(104,1),(144,1),(147,1),(187,1),(208,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(96,1),(145,1),(148,1),(153,1),(191,1),(194,1)}
       122:{3,5,7}:{(93,1),(94,1),(106,1),(148,1)}
       123:{1,3,4,7}:{(94,1),(107,1),(149,1),(151,1),(195,1),(209,1)}
       124:{2,3,4,7}:{(94,1),(99,1),(108,1),(150,1),(151,1),(154,1)}
       125:{1,4,6,7}:{(95,1),(96,1),(109,1),(152,1)}
       126:{3,4,6}:{(96,1),(97,1),(142,1),(148,1),(153,1)}
       127:{2,4,5,7}:{(97,1),(99,1),(112,1),(143,1),(150,1),(153,1)}
       128:{1,2,4,7}:{(98,1),(99,1),(100,1),(113,1),(154,1)}
       129:{2,3,5,7}:{(101,1),(102,1),(104,1),(155,1),(159,1)}
       130:{2,4,6}:{(102,1),(103,1),(155,1),(156,1)}
       131:{3,4,5}:{(103,1),(106,1),(156,1),(157,1)}
       132:{1,2,4,5,7}:{(104,1),(105,1),(109,1),(147,1),(155,1),(159,1),(164,1),(188,1),(195,1),(199,1),(208,1)}
       133:{3,5,6}:{(105,1),(106,1),(148,1),(156,1),(159,1)}
       134:{1,3,5}:{(106,1),(107,1),(157,1),(162,1)}
       135:{2,3,5}:{(106,1),(108,1),(112,1),(162,1)}
       136:{1,2,4,6}:{(107,1),(108,1),(151,1),(162,1),(163,1),(194,1),(200,1)}
       137:{3,4,5,7}:{(109,1),(110,1),(152,1),(159,1),(164,1)}
       138:{2,4,5,6}:{(110,1),(112,1),(153,1),(161,1),(164,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(113,1),(162,1),(165,1),(200,1)}
       140:{2,3,6}:{(113,1),(154,1),(165,1)}
       141:{1,4,5,6,7}:{(114,1),(125,1),(166,1)}
       142:{3,5,6}:{(114,1),(115,1),(126,1),(167,1)}
       143:{2,5,7}:{(115,1),(116,1),(167,1)}
       144:{2,3,5,6,7}:{(118,1),(120,1),(129,1),(169,1),(172,1),(201,1)}
       145:{2,4,6}:{(118,1),(119,1),(170,1)}
       146:{3,4,5,7}:{(119,1),(122,1),(131,1),(170,1),(171,1),(178,1),(201,1)}
       147:{1,2,4,6,7}:{(120,1),(121,1),(125,1),(132,1),(169,1),(172,1),(177,1),(203,1),(204,1)}
       148:{3,6}:{(121,1),(122,1)}
       149:{1,3,5,7}:{(122,1),(123,1),(134,1),(171,1),(173,1),(175,1)}
       150:{2,3,5,7}:{(122,1),(124,1),(127,1),(135,1),(174,1),(175,1)}
       151:{1,2,4,7}:{(123,1),(124,1),(136,1),(175,1),(176,1)}
       152:{3,4,6,7}:{(125,1),(126,1),(137,1),(166,1),(172,1),(177,1)}
       153:{2,4,6}:{(126,1),(127,1),(167,1),(174,1)}
       154:{2,3,7}:{(128,1),(140,1)}
       155:{2,4,7}:{(129,1),(130,1),(178,1)}
       156:{3,4,6}:{(130,1),(131,1),(133,1),(178,1),(179,1)}
       157:{1,4,5}:{(131,1),(134,1),(179,1)}
       158:{2,3,4,5}:{(131,1),(135,1),(180,1),(181,1),(186,1)}
       159:{3,5,7}:{(132,1),(133,1),(172,1),(178,1)}
       160:{1,3,5,6}:{(133,1),(134,1),(173,1),(179,1),(182,1),(184,1),(202,1),(206,1)}
       161:{2,3,5,6}:{(133,1),(135,1),(138,1),(174,1),(180,1),(183,1),(184,1)}
       162:{1,2,5}:{(134,1),(135,1),(136,1)}
       163:{1,2,3,6}:{(136,1),(140,1),(176,1),(185,1),(206,1)}
       164:{2,4,5,7}:{(137,1),(138,1),(177,1),(183,1)}
       165:{2,3,5}:{(139,1),(140,1),(186,1)}
       166:{3,5,6,7}:{(141,1),(142,1),(152,1),(187,1)}
       167:{2,5,6}:{(142,1),(143,1),(153,1)}
       168:{2,4,5,6}:{(145,1),(188,1),(189,1)}
       169:{2,4,6,7}:{(144,1),(145,1),(155,1),(188,1),(190,1)}
       170:{3,4,6}:{(145,1),(146,1),(148,1),(189,1),(191,1)}
       171:{1,4,5,7}:{(146,1),(149,1),(157,1),(191,1),(195,1),(208,1)}
       172:{3,6,7}:{(147,1),(148,1),(159,1)}
       173:{1,3,6}:{(148,1),(149,1),(191,1),(194,1)}
       174:{2,3,6}:{(148,1),(150,1),(153,1),(194,1)}
       175:{1,2,5,7}:{(149,1),(150,1),(151,1),(162,1),(194,1)}
       176:{1,2,3,7}:{(151,1),(154,1),(163,1),(209,1)}
       177:{2,4,6,7}:{(152,1),(153,1),(164,1),(187,1),(193,1)}
       178:{3,4,7}:{(155,1),(156,1),(159,1),(195,1)}
       179:{1,4,6}:{(156,1),(157,1),(160,1),(195,1)}
       180:{2,3,4,6}:{(156,1),(158,1),(161,1),(196,1),(197,1)}
       181:{1,2,4,5}:{(157,1),(158,1),(162,1),(197,1),(198,1),(200,1)}
       182:{1,3,5,7}:{(159,1),(160,1),(192,1),(195,1),(199,1),(208,1),(209,1)}
       183:{2,3,5,7}:{(159,1),(161,1),(164,1),(193,1),(196,1),(199,1)}
       184:{1,2,5,6}:{(160,1),(161,1),(162,1),(194,1),(197,1),(199,1)}
       185:{1,2,3,5}:{(162,1),(163,1),(165,1),(198,1),(200,1)}
       186:{2,3,4}:{(165,1),(200,1)}
       187:{2,5,6,7}:{(166,1),(167,1),(177,1)}
       188:{2,4,5,7}:{(168,1),(169,1),(201,1)}
       189:{3,5,6}:{(168,1),(170,1),(201,1),(202,1)}
       190:{3,4,6,7}:{(169,1),(170,1),(172,1),(178,1),(201,1),(203,1)}
       191:{1,4,6}:{(170,1),(171,1),(173,1),(202,1)}
       192:{1,3,6,7}:{(172,1),(173,1),(182,1),(203,1),(204,1)}
       193:{2,3,6,7}:{(172,1),(174,1),(177,1),(183,1),(204,1)}
       194:{1,2,6}:{(173,1),(174,1),(175,1)}
       195:{1,4,7}:{(178,1),(179,1),(182,1)}
       196:{2,3,4,7}:{(178,1),(180,1),(183,1),(205,1)}
       197:{1,2,4,6}:{(179,1),(180,1),(181,1),(184,1),(205,1),(206,1)}
       198:{1,3,5}:{(181,1),(206,1),(207,1)}
       199:{1,2,5,7}:{(182,1),(183,1),(184,1),(204,1),(205,1)}
       200:{1,2,4}:{(185,1),(186,1),(207,1)}
       201:{3,5,7}:{(188,1),(189,1),(190,1),(208,1)}
       202:{1,5,6}:{(189,1),(191,1),(208,1)}
       203:{1,4,6,7}:{(190,1),(191,1),(192,1),(195,1),(208,1)}
       204:{1,2,6,7}:{(192,1),(193,1),(194,1),(199,1)}
       205:{1,2,4,7}:{(195,1),(196,1),(197,1),(199,1),(209,1)}
       206:{1,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,3,4}:{(198,1),(200,1)}
       208:{1,5,7}:{(201,1),(202,1),(203,1)}
       209:{1,3,7}:{(205,1),(206,1)}

1088 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(14,1),(18,1),(38,1),(42,1),(74,1),(75,1),(76,1),(102,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(62,1),(63,1),(87,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(27,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(61,1),(88,1),(101,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(15,1),(43,1),(95,1)}
         5:{3,4,6}:{(3,1),(10,1),(12,1),(13,1),(14,1),(47,1),(78,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(44,1),(45,1),(48,1),(76,1)}
         7:{3,5,7}:{(2,1),(3,1),(12,1),(15,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(16,1),(18,1),(35,1),(47,1),(68,1),(70,1),(74,1),(91,1),(95,1),(102,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(32,1),(47,1),(66,1),(72,1),(75,1),(93,1),(95,1),(103,1)}
        10:{3,4,5}:{(5,1),(22,1),(23,1),(61,1),(101,1)}
        11:{4,6,7}:{(4,1),(24,1),(100,1)}
        12:{3,4,7}:{(5,1),(7,1),(26,1),(27,1),(65,1)}
        13:{1,4,6}:{(5,1),(8,1),(22,1),(26,1),(83,1),(100,1)}
        14:{2,4,6}:{(5,1),(9,1),(23,1),(27,1),(86,1),(100,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(26,1),(29,1),(31,1),(62,1),(65,1),(90,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(27,1),(30,1),(31,1),(63,1),(65,1),(90,1)}
        18:{1,2,5,6}:{(8,1),(9,1),(28,1),(31,1),(50,1),(54,1),(81,1),(84,1)}
        19:{2,3,4,6}:{(14,1),(32,1),(33,1),(34,1),(47,1),(66,1),(78,1),(96,1)}
        20:{1,3,4,6}:{(13,1),(35,1),(36,1),(37,1),(47,1),(70,1),(78,1),(96,1)}
        21:{3,4,5,7}:{(10,1),(12,1),(39,1),(40,1),(41,1),(43,1),(77,1),(97,1),(104,1)}
        22:{1,4,5}:{(10,1),(13,1),(35,1),(102,1),(104,1)}
        23:{2,4,5}:{(10,1),(14,1),(32,1),(103,1),(104,1)}
        24:{4,5,7}:{(11,1),(38,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(15,1),(39,1),(43,1),(44,1),(45,1),(80,1),(96,1),(97,1)}
        26:{1,4,7}:{(12,1),(13,1),(16,1),(97,1)}
        27:{2,4,7}:{(12,1),(14,1),(17,1),(97,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(18,1),(42,1),(46,1),(47,1)}
        29:{1,3,6,7}:{(15,1),(16,1),(44,1),(48,1),(70,1),(80,1),(91,1)}
        30:{2,3,6,7}:{(15,1),(17,1),(45,1),(48,1),(66,1),(80,1),(93,1)}
        31:{1,2,5,7}:{(16,1),(17,1),(18,1),(46,1),(48,1)}
        32:{2,3,5}:{(19,1),(23,1),(50,1),(61,1),(101,1)}
        33:{2,3,4,7}:{(19,1),(27,1),(49,1),(51,1),(65,1),(89,1)}
        34:{1,2,4,6}:{(19,1),(50,1),(51,1),(52,1),(81,1),(83,1),(98,1)}
        35:{1,3,5}:{(20,1),(22,1),(54,1),(61,1),(101,1)}
        36:{1,3,4,7}:{(20,1),(26,1),(53,1),(55,1),(65,1),(89,1)}
        37:{1,2,4,6}:{(20,1),(54,1),(55,1),(56,1),(84,1),(86,1),(99,1)}
        38:{4,5,6}:{(24,1),(57,1),(100,1)}
        39:{3,4,6}:{(21,1),(57,1),(58,1),(59,1),(88,1),(100,1)}
        40:{1,4,5,7}:{(21,1),(22,1),(26,1),(53,1),(58,1),(62,1)}
        41:{2,4,5,7}:{(21,1),(23,1),(27,1),(49,1),(59,1),(63,1)}
        42:{1,2,4,5}:{(22,1),(23,1),(28,1),(50,1),(54,1),(61,1),(83,1),(86,1)}
        43:{3,5,7}:{(24,1),(25,1),(57,1),(62,1),(63,1),(101,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(58,1),(62,1),(98,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(59,1),(63,1),(99,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(28,1),(31,1),(65,1)}
        47:{3,6}:{(28,1),(61,1),(65,1)}
        48:{1,2,6,7}:{(29,1),(30,1),(31,1),(81,1),(84,1)}
        49:{2,3,5,7}:{(32,1),(33,1),(41,1),(66,1),(67,1),(77,1)}
        50:{1,2,5}:{(32,1),(34,1),(68,1),(102,1)}
        51:{1,2,4,7}:{(33,1),(34,1),(67,1),(69,1),(92,1)}
        52:{1,3,6}:{(34,1),(47,1),(68,1),(69,1)}
        53:{1,3,5,7}:{(35,1),(36,1),(40,1),(70,1),(71,1),(77,1)}
        54:{1,2,5}:{(35,1),(37,1),(72,1),(103,1)}
        55:{1,2,4,7}:{(36,1),(37,1),(71,1),(73,1),(94,1)}
        56:{2,3,6}:{(37,1),(47,1),(72,1),(73,1)}
        57:{3,5,6}:{(38,1),(39,1),(43,1),(74,1),(75,1)}
        58:{1,4,6}:{(39,1),(40,1),(70,1),(74,1)}
        59:{2,4,6}:{(39,1),(41,1),(66,1),(75,1)}
        60:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(46,1),(67,1),(71,1),(76,1),(77,1),(79,1),(92,1),(94,1),(97,1),(102,1),(103,1),(104,1)}
        61:{3,5}:{(42,1),(47,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(74,1),(102,1)}
        63:{2,5,7}:{(43,1),(45,1),(75,1),(103,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(48,1),(76,1),(79,1),(80,1),(97,1)}
        65:{3,7}:{(46,1),(47,1)}
        66:{2,3,6}:{(49,1),(59,1),(81,1),(88,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(51,1),(81,1),(82,1)}
        68:{1,3,5}:{(50,1),(52,1),(61,1),(83,1)}
        69:{1,3,7}:{(51,1),(52,1),(65,1)}
        70:{1,3,6}:{(53,1),(58,1),(84,1),(88,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(55,1),(84,1),(85,1)}
        72:{2,3,5}:{(54,1),(56,1),(61,1),(86,1)}
        73:{2,3,7}:{(55,1),(56,1),(65,1)}
        74:{1,5,6}:{(57,1),(58,1),(62,1)}
        75:{2,5,6}:{(57,1),(59,1),(63,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(81,1),(84,1),(87,1),(88,1),(98,1),(99,1),(100,1)}
        77:{3,5,7}:{(60,1),(61,1),(65,1),(88,1),(89,1),(101,1)}
        78:{3,4}:{(61,1),(83,1),(86,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(87,1),(90,1)}
        80:{3,6,7}:{(64,1),(65,1),(88,1),(90,1)}
        81:{1,2,6}:{(66,1),(67,1),(91,1)}
        82:{1,3,5,7}:{(67,1),(68,1),(69,1),(77,1),(91,1),(92,1),(102,1)}
        83:{1,4}:{(68,1),(78,1)}
        84:{1,2,6}:{(70,1),(71,1),(93,1)}
        85:{2,3,5,7}:{(71,1),(72,1),(73,1),(77,1),(93,1),(94,1),(103,1)}
        86:{2,4}:{(72,1),(78,1)}
        87:{1,2,5,6}:{(74,1),(75,1),(76,1),(79,1),(95,1),(102,1),(103,1)}
        88:{3,6}:{(76,1),(77,1)}
        89:{3,4,7}:{(77,1),(78,1),(92,1),(94,1),(96,1),(97,1)}
        90:{3,5,7}:{(79,1),(80,1),(95,1),(97,1)}
        91:{1,3,6}:{(81,1),(82,1),(88,1),(98,1)}
        92:{1,4,7}:{(82,1),(83,1),(89,1),(98,1)}
        93:{2,3,6}:{(84,1),(85,1),(88,1),(99,1)}
        94:{2,4,7}:{(85,1),(86,1),(89,1),(99,1)}
        95:{3,5,6}:{(87,1),(88,1),(90,1),(100,1),(101,1)}
        96:{3,4,6}:{(88,1),(89,1),(98,1),(99,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(100,1)}
        98:{1,4,6}:{(91,1),(92,1),(96,1),(102,1)}
        99:{2,4,6}:{(93,1),(94,1),(96,1),(103,1)}
       100:{4,6}:{(95,1),(97,1),(104,1)}
       101:{3,5}:{(96,1),(102,1),(103,1),(104,1)}
       102:{1,5}:{(98,1),(101,1)}
       103:{2,5}:{(99,1),(101,1)}
       104:{4,5}:{(100,1),(101,1)}

1089 :   0:{4,5,6,7}:{(2,1),(52,1),(225,1)}
         1:{3,4,5,6}:{(3,1),(4,1),(5,1),(26,1),(98,1),(165,1),(208,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(7,1),(8,1),(219,1)}
         3:{3,4,5,7}:{(1,1),(6,1),(9,1),(10,1),(39,1),(73,1)}
         4:{1,4,5,6}:{(1,1),(9,1),(11,1),(175,1),(211,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(12,1),(181,1),(214,1)}
         6:{3,4,6,7}:{(2,1),(3,1),(18,1),(19,1),(51,1),(52,1),(208,1)}
         7:{1,5,6,7}:{(2,1),(18,1),(221,1)}
         8:{2,5,6,7}:{(2,1),(19,1),(223,1)}
         9:{1,4,5,7}:{(3,1),(4,1),(18,1),(21,1)}
        10:{2,4,5,7}:{(3,1),(5,1),(19,1),(22,1)}
        11:{1,3,5,6}:{(4,1),(16,1),(21,1),(24,1),(26,1),(147,1),(196,1)}
        12:{2,3,5,6}:{(5,1),(17,1),(22,1),(25,1),(26,1),(153,1),(201,1)}
        13:{1,2,4,5,6}:{(4,1),(5,1),(23,1),(24,1),(25,1),(26,1),(57,1),(58,1),(98,1),(104,1),(158,1),(159,1),(162,1)}
        14:{1,3,4,5}:{(16,1),(27,1),(59,1),(108,1),(147,1)}
        15:{2,3,4,5}:{(17,1),(28,1),(59,1),(111,1),(153,1)}
        16:{1,3,4,6}:{(11,1),(14,1),(29,1),(30,1),(42,1)}
        17:{2,3,4,6}:{(12,1),(15,1),(31,1),(32,1),(42,1)}
        18:{1,4,6,7}:{(6,1),(7,1),(9,1),(33,1),(211,1)}
        19:{2,4,6,7}:{(6,1),(8,1),(10,1),(34,1),(214,1)}
        20:{1,2,5,6,7}:{(7,1),(8,1),(35,1),(36,1),(125,1),(126,1),(185,1)}
        21:{1,3,5,7}:{(9,1),(11,1),(29,1),(33,1),(37,1),(39,1)}
        22:{2,3,5,7}:{(10,1),(12,1),(31,1),(34,1),(38,1),(39,1)}
        23:{1,2,4,5,7}:{(9,1),(10,1),(13,1),(35,1),(37,1),(38,1),(39,1),(73,1),(75,1),(76,1),(125,1),(126,1)}
        24:{1,2,5,6}:{(11,1),(30,1),(37,1),(40,1),(117,1),(173,1)}
        25:{1,2,5,6}:{(12,1),(32,1),(38,1),(41,1),(122,1),(179,1)}
        26:{3,5,6}:{(13,1),(39,1),(42,1),(134,1),(189,1)}
        27:{1,2,4,5}:{(14,1),(30,1),(43,1),(79,1),(82,1),(117,1)}
        28:{1,2,4,5}:{(15,1),(32,1),(44,1),(80,1),(84,1),(122,1)}
        29:{1,3,4,7}:{(16,1),(21,1),(45,1),(55,1)}
        30:{1,2,4,6}:{(16,1),(24,1),(27,1),(45,1),(46,1),(57,1)}
        31:{2,3,4,7}:{(17,1),(22,1),(47,1),(55,1)}
        32:{1,2,4,6}:{(17,1),(25,1),(28,1),(47,1),(48,1),(58,1)}
        33:{1,3,6,7}:{(18,1),(21,1),(49,1),(51,1),(196,1)}
        34:{2,3,6,7}:{(19,1),(22,1),(50,1),(51,1),(201,1)}
        35:{1,2,4,6,7}:{(18,1),(19,1),(20,1),(23,1),(49,1),(50,1),(51,1),(52,1),(95,1),(96,1),(162,1)}
        36:{3,5,6,7}:{(20,1),(51,1),(52,1),(97,1),(206,1)}
        37:{1,2,5,7}:{(21,1),(24,1),(45,1),(49,1),(53,1)}
        38:{1,2,5,7}:{(22,1),(25,1),(47,1),(50,1),(54,1)}
        39:{3,5,7}:{(23,1),(26,1),(51,1),(55,1)}
        40:{2,3,5,6}:{(24,1),(26,1),(46,1),(53,1),(57,1),(89,1),(146,1),(158,1)}
        41:{1,3,5,6}:{(25,1),(26,1),(48,1),(54,1),(58,1),(93,1),(152,1),(159,1)}
        42:{3,4,6}:{(26,1),(55,1),(57,1),(58,1),(59,1)}
        43:{2,3,5}:{(27,1),(46,1),(61,1)}
        44:{1,3,5}:{(28,1),(48,1),(63,1)}
        45:{1,2,4,7}:{(29,1),(30,1),(37,1),(64,1),(75,1)}
        46:{2,3,6}:{(30,1),(43,1),(64,1)}
        47:{1,2,4,7}:{(31,1),(32,1),(38,1),(67,1),(76,1)}
        48:{1,3,6}:{(32,1),(44,1),(67,1)}
        49:{1,2,6,7}:{(33,1),(37,1),(70,1),(173,1)}
        50:{1,2,6,7}:{(34,1),(38,1),(71,1),(179,1)}
        51:{3,6,7}:{(35,1),(39,1),(189,1)}
        52:{4,6,7}:{(36,1),(73,1),(217,1)}
        53:{2,3,5,7}:{(37,1),(39,1),(40,1),(64,1),(70,1),(75,1),(125,1)}
        54:{1,3,5,7}:{(38,1),(39,1),(41,1),(67,1),(71,1),(76,1),(126,1)}
        55:{3,4,7}:{(39,1),(42,1),(75,1),(76,1)}
        56:{1,2,3,5,6}:{(40,1),(41,1),(65,1),(68,1),(74,1),(78,1),(117,1),(122,1),(134,1),(173,1),(176,1),(179,1),(182,1),(185,1),(189,1)}
        57:{2,4,6}:{(40,1),(42,1),(75,1),(79,1)}
        58:{1,4,6}:{(41,1),(42,1),(76,1),(80,1)}
        59:{3,4,5}:{(42,1),(79,1),(80,1),(134,1)}
        60:{1,2,3,5}:{(43,1),(65,1),(82,1),(117,1),(138,1)}
        61:{2,3,4}:{(43,1),(82,1)}
        62:{1,2,3,5}:{(44,1),(68,1),(84,1),(122,1),(141,1)}
        63:{1,3,4}:{(44,1),(84,1)}
        64:{2,3,7}:{(45,1),(46,1)}
        65:{1,2,3,6}:{(46,1),(60,1),(86,1),(88,1),(168,1)}
        66:{2,3,4,6}:{(46,1),(57,1),(61,1),(87,1),(88,1),(89,1),(103,1),(146,1)}
        67:{1,3,7}:{(47,1),(48,1)}
        68:{1,2,3,6}:{(48,1),(62,1),(90,1),(92,1),(170,1)}
        69:{1,3,4,6}:{(48,1),(58,1),(63,1),(91,1),(92,1),(93,1),(103,1),(152,1)}
        70:{2,3,6,7}:{(49,1),(51,1),(53,1),(95,1),(146,1)}
        71:{1,3,6,7}:{(50,1),(51,1),(54,1),(96,1),(152,1)}
        72:{3,4,6,7}:{(51,1),(52,1),(55,1),(95,1),(96,1),(97,1),(102,1)}
        73:{4,5,7}:{(52,1),(97,1),(98,1)}
        74:{1,2,3,5,7}:{(53,1),(54,1),(56,1),(86,1),(90,1),(94,1),(99,1),(145,1),(151,1),(157,1),(161,1),(199,1),(204,1)}
        75:{2,4,7}:{(53,1),(55,1),(57,1)}
        76:{1,4,7}:{(54,1),(55,1),(58,1)}
        77:{3,4,5,7}:{(55,1),(59,1),(97,1),(100,1),(101,1),(102,1),(161,1),(205,1)}
        78:{1,2,4,6}:{(56,1),(57,1),(58,1),(99,1),(103,1),(104,1),(198,1),(203,1)}
        79:{2,4,5}:{(57,1),(59,1),(89,1)}
        80:{1,4,5}:{(58,1),(59,1),(93,1)}
        81:{3,4,5,6}:{(59,1),(102,1),(105,1),(106,1),(107,1),(166,1),(225,1)}
        82:{1,2,4}:{(60,1),(61,1),(108,1)}
        83:{2,3,4,5}:{(61,1),(89,1),(109,1),(110,1),(165,1)}
        84:{1,2,4}:{(62,1),(63,1),(111,1)}
        85:{1,3,4,5}:{(63,1),(93,1),(112,1),(113,1),(165,1)}
        86:{1,2,3,7}:{(64,1),(65,1),(114,1),(193,1)}
        87:{2,3,4,7}:{(64,1),(66,1),(75,1),(114,1),(115,1),(129,1)}
        88:{1,2,4,6}:{(65,1),(66,1),(82,1),(114,1),(116,1),(117,1),(173,1)}
        89:{2,3,5}:{(66,1),(79,1),(117,1),(134,1)}
        90:{1,2,3,7}:{(67,1),(68,1),(119,1),(194,1)}
        91:{1,3,4,7}:{(67,1),(69,1),(76,1),(119,1),(120,1),(129,1)}
        92:{1,2,4,6}:{(68,1),(69,1),(84,1),(119,1),(121,1),(122,1),(179,1)}
        93:{1,3,5}:{(69,1),(80,1),(122,1),(134,1)}
        94:{1,2,3,6,7}:{(70,1),(71,1),(74,1),(124,1),(173,1),(179,1),(189,1),(212,1),(215,1)}
        95:{2,4,6,7}:{(70,1),(72,1),(75,1),(125,1),(131,1)}
        96:{1,4,6,7}:{(71,1),(72,1),(76,1),(126,1),(132,1)}
        97:{3,5,7}:{(72,1),(73,1),(125,1),(126,1),(127,1)}
        98:{4,5,6}:{(73,1),(127,1),(217,1)}
        99:{1,2,4,7}:{(74,1),(75,1),(76,1),(78,1),(129,1),(213,1),(216,1)}
       100:{2,4,5,7}:{(75,1),(77,1),(79,1),(115,1),(125,1),(131,1)}
       101:{1,4,5,7}:{(76,1),(77,1),(80,1),(120,1),(126,1),(132,1)}
       102:{3,4,6}:{(77,1),(127,1),(131,1),(132,1),(189,1),(217,1)}
       103:{3,4,6}:{(78,1),(129,1),(134,1),(189,1)}
       104:{1,2,4,5}:{(78,1),(79,1),(80,1),(117,1),(122,1),(134,1),(175,1),(181,1)}
       105:{2,4,5,6}:{(79,1),(81,1),(118,1),(131,1),(136,1)}
       106:{1,4,5,6}:{(80,1),(81,1),(123,1),(132,1),(137,1)}
       107:{3,4,5,7}:{(81,1),(133,1),(136,1),(137,1),(192,1),(230,1)}
       108:{1,3,4}:{(82,1),(138,1)}
       109:{1,2,4,5}:{(82,1),(83,1),(117,1),(138,1),(139,1),(175,1)}
       110:{2,3,4,6}:{(83,1),(118,1),(139,1),(140,1),(191,1)}
       111:{2,3,4}:{(84,1),(141,1)}
       112:{1,2,4,5}:{(84,1),(85,1),(122,1),(141,1),(142,1),(181,1)}
       113:{1,3,4,6}:{(85,1),(123,1),(142,1),(143,1),(191,1)}
       114:{1,2,4,7}:{(86,1),(87,1),(88,1),(144,1),(145,1)}
       115:{2,3,5,7}:{(87,1),(89,1),(100,1),(145,1),(146,1),(161,1)}
       116:{1,3,4,6}:{(88,1),(103,1),(108,1),(144,1),(147,1),(168,1),(196,1),(198,1)}
       117:{1,2,5}:{(88,1),(89,1),(147,1)}
       118:{2,3,5,6}:{(89,1),(105,1),(110,1),(146,1),(148,1),(149,1),(166,1)}
       119:{1,2,4,7}:{(90,1),(91,1),(92,1),(150,1),(151,1)}
       120:{1,3,5,7}:{(91,1),(93,1),(101,1),(151,1),(152,1),(161,1)}
       121:{2,3,4,6}:{(92,1),(103,1),(111,1),(150,1),(153,1),(170,1),(201,1),(203,1)}
       122:{1,2,5}:{(92,1),(93,1),(153,1)}
       123:{1,3,5,6}:{(93,1),(106,1),(113,1),(152,1),(154,1),(155,1),(166,1)}
       124:{1,2,4,6,7}:{(94,1),(95,1),(96,1),(99,1),(156,1),(157,1),(162,1),(222,1),(224,1)}
       125:{2,5,7}:{(95,1),(97,1),(158,1)}
       126:{1,5,7}:{(96,1),(97,1),(159,1)}
       127:{3,5,6}:{(97,1),(98,1),(102,1),(158,1),(159,1)}
       128:{4,5,6,7}:{(98,1),(160,1),(226,1)}
       129:{3,4,7}:{(99,1),(103,1),(161,1)}
       130:{1,2,4,5,7}:{(99,1),(100,1),(101,1),(104,1),(145,1),(151,1),(157,1),(161,1),(162,1),(195,1),(200,1),(205,1)}
       131:{2,4,6}:{(100,1),(102,1),(146,1),(158,1)}
       132:{1,4,6}:{(101,1),(102,1),(152,1),(159,1)}
       133:{3,4,6,7}:{(102,1),(107,1),(160,1),(163,1),(164,1),(209,1),(226,1)}
       134:{3,5}:{(103,1),(104,1)}
       135:{1,2,4,5,6}:{(104,1),(105,1),(106,1),(148,1),(154,1),(162,1),(166,1),(167,1),(198,1),(203,1),(221,1),(223,1),(225,1)}
       136:{2,4,5,7}:{(105,1),(107,1),(149,1),(163,1)}
       137:{1,4,5,7}:{(106,1),(107,1),(155,1),(164,1)}
       138:{1,3,5}:{(108,1),(109,1),(168,1)}
       139:{1,2,4,6}:{(109,1),(110,1),(148,1),(168,1),(169,1),(198,1)}
       140:{2,3,4,7}:{(110,1),(149,1),(169,1),(210,1)}
       141:{2,3,5}:{(111,1),(112,1),(170,1)}
       142:{1,2,4,6}:{(112,1),(113,1),(154,1),(170,1),(171,1),(203,1)}
       143:{1,3,4,7}:{(113,1),(155,1),(171,1),(210,1)}
       144:{1,3,4,7}:{(114,1),(116,1),(129,1),(172,1),(193,1),(213,1)}
       145:{1,2,5,7}:{(114,1),(115,1),(117,1),(172,1),(173,1)}
       146:{2,3,6}:{(115,1),(131,1),(173,1),(189,1)}
       147:{1,3,5}:{(116,1),(117,1),(134,1),(175,1)}
       148:{1,2,5,6}:{(117,1),(118,1),(139,1),(173,1),(176,1),(177,1)}
       149:{2,3,5,7}:{(118,1),(136,1),(140,1),(174,1),(177,1),(192,1)}
       150:{2,3,4,7}:{(119,1),(121,1),(129,1),(178,1),(194,1),(216,1)}
       151:{1,2,5,7}:{(119,1),(120,1),(122,1),(178,1),(179,1)}
       152:{1,3,6}:{(120,1),(132,1),(179,1),(189,1)}
       153:{2,3,5}:{(121,1),(122,1),(134,1),(181,1)}
       154:{1,2,5,6}:{(122,1),(123,1),(142,1),(179,1),(182,1),(183,1)}
       155:{1,3,5,7}:{(123,1),(137,1),(143,1),(180,1),(183,1),(192,1)}
       156:{3,4,6,7}:{(124,1),(129,1),(184,1),(189,1),(217,1)}
       157:{1,2,5,7}:{(124,1),(125,1),(126,1),(184,1),(185,1),(228,1),(229,1)}
       158:{2,5,6}:{(125,1),(127,1),(131,1)}
       159:{1,5,6}:{(126,1),(127,1),(132,1)}
       160:{3,5,6,7}:{(127,1),(128,1),(133,1),(186,1),(187,1)}
       161:{3,5,7}:{(129,1),(130,1),(134,1),(189,1)}
       162:{1,2,4,6}:{(130,1),(131,1),(132,1),(173,1),(179,1),(185,1),(189,1),(211,1),(214,1),(217,1)}
       163:{2,4,6,7}:{(131,1),(133,1),(136,1),(174,1),(186,1)}
       164:{1,4,6,7}:{(132,1),(133,1),(137,1),(180,1),(187,1)}
       165:{3,4,5}:{(134,1),(175,1),(181,1),(191,1)}
       166:{3,5,6}:{(134,1),(135,1),(189,1),(191,1),(192,1)}
       167:{1,2,4,5,7}:{(135,1),(136,1),(137,1),(177,1),(183,1),(190,1),(192,1),(213,1),(216,1),(228,1),(229,1),(230,1)}
       168:{1,3,6}:{(138,1),(139,1),(193,1)}
       169:{1,2,4,7}:{(139,1),(140,1),(177,1),(193,1),(213,1)}
       170:{2,3,6}:{(141,1),(142,1),(194,1)}
       171:{1,2,4,7}:{(142,1),(143,1),(183,1),(194,1),(216,1)}
       172:{1,3,5,7}:{(144,1),(145,1),(147,1),(161,1),(195,1),(196,1)}
       173:{1,2,6}:{(145,1),(146,1),(196,1)}
       174:{2,3,6,7}:{(146,1),(149,1),(163,1),(197,1),(209,1)}
       175:{1,4,5}:{(147,1),(165,1),(198,1)}
       176:{1,3,5,6}:{(147,1),(148,1),(166,1),(168,1),(196,1),(198,1),(199,1),(221,1)}
       177:{1,2,5,7}:{(148,1),(149,1),(169,1),(197,1),(199,1)}
       178:{2,3,5,7}:{(150,1),(151,1),(153,1),(161,1),(200,1),(201,1)}
       179:{1,2,6}:{(151,1),(152,1),(201,1)}
       180:{1,3,6,7}:{(152,1),(155,1),(164,1),(202,1),(209,1)}
       181:{2,4,5}:{(153,1),(165,1),(203,1)}
       182:{2,3,5,6}:{(153,1),(154,1),(166,1),(170,1),(201,1),(203,1),(204,1),(223,1)}
       183:{1,2,5,7}:{(154,1),(155,1),(171,1),(202,1),(204,1)}
       184:{3,5,7}:{(156,1),(157,1),(205,1),(206,1)}
       185:{1,2,5,6}:{(157,1),(158,1),(159,1),(162,1),(206,1),(221,1),(223,1)}
       186:{2,5,6,7}:{(158,1),(160,1),(163,1)}
       187:{1,5,6,7}:{(159,1),(160,1),(164,1)}
       188:{3,4,5,7}:{(161,1),(165,1),(195,1),(200,1),(205,1),(208,1),(210,1),(227,1)}
       189:{3,6}:{(161,1),(162,1)}
       190:{1,2,4,6,7}:{(162,1),(163,1),(164,1),(167,1),(197,1),(202,1),(207,1),(209,1),(222,1),(224,1),(226,1)}
       191:{3,4,6}:{(165,1),(166,1),(198,1),(203,1),(210,1)}
       192:{3,5,7}:{(166,1),(167,1),(209,1),(210,1)}
       193:{1,3,7}:{(168,1),(169,1)}
       194:{2,3,7}:{(170,1),(171,1)}
       195:{1,4,5,7}:{(172,1),(175,1),(188,1),(211,1),(213,1),(228,1)}
       196:{1,3,6}:{(172,1),(173,1),(189,1),(211,1)}
       197:{1,2,6,7}:{(173,1),(174,1),(177,1),(212,1)}
       198:{1,4,6}:{(175,1),(176,1),(191,1),(213,1)}
       199:{1,3,5,7}:{(176,1),(177,1),(192,1),(193,1),(212,1),(213,1),(228,1)}
       200:{2,4,5,7}:{(178,1),(181,1),(188,1),(214,1),(216,1),(229,1)}
       201:{2,3,6}:{(178,1),(179,1),(189,1),(214,1)}
       202:{1,2,6,7}:{(179,1),(180,1),(183,1),(215,1)}
       203:{2,4,6}:{(181,1),(182,1),(191,1),(216,1)}
       204:{2,3,5,7}:{(182,1),(183,1),(192,1),(194,1),(215,1),(216,1),(229,1)}
       205:{4,5,7}:{(184,1),(217,1)}
       206:{3,5,6}:{(184,1),(185,1),(189,1),(217,1)}
       207:{1,2,5,6,7}:{(185,1),(186,1),(187,1),(190,1),(218,1),(228,1),(229,1)}
       208:{3,4,6}:{(188,1),(189,1),(211,1),(214,1),(217,1),(219,1)}
       209:{3,6,7}:{(189,1),(190,1),(192,1)}
       210:{3,4,7}:{(191,1),(192,1),(213,1),(216,1)}
       211:{1,4,6}:{(195,1),(196,1),(208,1),(221,1)}
       212:{1,3,6,7}:{(196,1),(197,1),(199,1),(209,1),(222,1)}
       213:{1,4,7}:{(198,1),(199,1),(210,1)}
       214:{2,4,6}:{(200,1),(201,1),(208,1),(223,1)}
       215:{2,3,6,7}:{(201,1),(202,1),(204,1),(209,1),(224,1)}
       216:{2,4,7}:{(203,1),(204,1),(210,1)}
       217:{4,6}:{(205,1),(206,1)}
       218:{3,5,6,7}:{(206,1),(207,1),(209,1),(226,1),(227,1)}
       219:{3,5,6}:{(208,1),(221,1),(223,1),(225,1),(227,1)}
       220:{3,4,6,7}:{(208,1),(209,1),(210,1),(222,1),(224,1),(226,1),(227,1)}
       221:{1,5,6}:{(211,1),(219,1),(228,1)}
       222:{1,4,6,7}:{(211,1),(212,1),(213,1),(220,1),(228,1)}
       223:{2,5,6}:{(214,1),(219,1),(229,1)}
       224:{2,4,6,7}:{(214,1),(215,1),(216,1),(220,1),(229,1)}
       225:{4,5,6}:{(217,1),(219,1),(230,1)}
       226:{4,6,7}:{(217,1),(218,1),(230,1)}
       227:{3,5,7}:{(219,1),(220,1),(228,1),(229,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(227,1)}
       229:{2,5,7}:{(223,1),(224,1),(227,1)}
       230:{4,5,7}:{(225,1),(226,1),(227,1)}

1090 :   0:{1,2,5,6,7}:{(1,1),(2,1),(30,1),(31,1),(59,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(17,1),(75,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(19,1),(23,1),(74,1)}
         3:{1,2,4,5,6}:{(5,1),(7,1),(16,1),(25,1),(26,1),(27,1),(42,1),(43,1),(53,1),(74,1),(97,1),(103,1),(104,1)}
         4:{4,6,7}:{(1,1),(8,1),(88,1)}
         5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(10,1),(30,1),(31,1),(33,1),(34,1),(35,1)}
         6:{3,6,7}:{(2,1),(10,1),(87,1)}
         7:{3,5,6}:{(3,1),(10,1),(13,1),(69,1),(87,1),(102,1)}
         8:{4,5,7}:{(4,1),(16,1),(17,1),(79,1),(97,1)}
         9:{3,4,6,7}:{(4,1),(6,1),(17,1),(18,1),(19,1),(20,1),(41,1),(47,1),(79,1),(96,1)}
        10:{3,5,7}:{(5,1),(6,1),(7,1),(20,1)}
        11:{1,3,6,7}:{(6,1),(18,1),(21,1),(23,1),(47,1),(72,1),(95,1)}
        12:{2,3,6,7}:{(6,1),(19,1),(22,1),(23,1),(47,1),(73,1),(94,1)}
        13:{3,4,6}:{(7,1),(20,1),(24,1),(25,1),(26,1),(56,1),(84,1)}
        14:{1,3,5,6}:{(7,1),(21,1),(25,1),(27,1),(42,1),(51,1),(56,1),(72,1),(75,1),(83,1),(95,1),(104,1)}
        15:{2,3,5,6}:{(7,1),(22,1),(26,1),(27,1),(43,1),(52,1),(56,1),(73,1),(75,1),(82,1),(94,1),(103,1)}
        16:{4,5,6}:{(8,1),(28,1),(88,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(30,1),(31,1),(102,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(30,1),(33,1),(57,1),(101,1)}
        19:{2,4,6,7}:{(9,1),(12,1),(31,1),(34,1),(58,1),(100,1)}
        20:{3,4,7}:{(10,1),(13,1),(33,1),(34,1),(66,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(14,1),(30,1),(33,1),(35,1),(63,1),(66,1)}
        22:{2,3,5,7}:{(10,1),(12,1),(15,1),(31,1),(34,1),(35,1),(63,1),(66,1)}
        23:{1,2,6,7}:{(11,1),(12,1),(35,1),(85,1),(86,1)}
        24:{3,4,5}:{(13,1),(36,1),(37,1),(69,1),(102,1)}
        25:{1,4,6}:{(13,1),(14,1),(33,1),(36,1),(88,1),(93,1)}
        26:{2,4,6}:{(13,1),(15,1),(34,1),(37,1),(88,1),(92,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(35,1),(40,1),(67,1),(68,1),(85,1),(86,1)}
        28:{3,5,6}:{(16,1),(17,1),(41,1),(42,1),(43,1)}
        29:{3,4,5,7}:{(17,1),(20,1),(24,1),(41,1),(44,1),(45,1),(78,1),(79,1),(97,1)}
        30:{1,5,7}:{(17,1),(18,1),(42,1),(104,1)}
        31:{2,5,7}:{(17,1),(19,1),(43,1),(103,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(23,1),(46,1),(47,1),(50,1),(74,1),(79,1)}
        33:{1,4,7}:{(20,1),(21,1),(25,1),(79,1)}
        34:{2,4,7}:{(20,1),(22,1),(26,1),(79,1)}
        35:{1,2,5,7}:{(21,1),(22,1),(23,1),(27,1),(50,1)}
        36:{1,4,5}:{(24,1),(25,1),(51,1),(97,1),(104,1)}
        37:{2,4,5}:{(24,1),(26,1),(52,1),(97,1),(103,1)}
        38:{1,3,4,6}:{(25,1),(48,1),(51,1),(54,1),(56,1),(72,1),(84,1),(96,1)}
        39:{2,3,4,6}:{(26,1),(49,1),(52,1),(55,1),(56,1),(73,1),(84,1),(96,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(50,1),(53,1),(56,1)}
        41:{3,4,6}:{(28,1),(29,1),(57,1),(58,1),(87,1),(88,1)}
        42:{1,5,6}:{(28,1),(30,1),(57,1)}
        43:{2,5,6}:{(28,1),(31,1),(58,1)}
        44:{1,4,5,7}:{(29,1),(30,1),(33,1),(36,1),(57,1),(60,1)}
        45:{2,4,5,7}:{(29,1),(31,1),(34,1),(37,1),(58,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(32,1),(59,1),(63,1)}
        47:{3,6,7}:{(32,1),(63,1),(66,1),(87,1)}
        48:{1,3,4,7}:{(33,1),(38,1),(60,1),(64,1),(66,1),(91,1)}
        49:{2,3,4,7}:{(34,1),(39,1),(61,1),(65,1),(66,1),(91,1)}
        50:{1,2,4,7}:{(33,1),(34,1),(35,1),(40,1),(66,1)}
        51:{1,3,5}:{(36,1),(38,1),(67,1),(69,1),(102,1)}
        52:{2,3,5}:{(37,1),(39,1),(68,1),(69,1),(102,1)}
        53:{1,2,4,5}:{(36,1),(37,1),(40,1),(67,1),(68,1),(69,1),(92,1),(93,1)}
        54:{1,2,4,6}:{(38,1),(64,1),(67,1),(70,1),(85,1),(92,1),(100,1)}
        55:{1,2,4,6}:{(39,1),(65,1),(68,1),(71,1),(86,1),(93,1),(101,1)}
        56:{3,6}:{(40,1),(66,1),(69,1)}
        57:{1,4,6}:{(41,1),(42,1),(44,1),(72,1)}
        58:{2,4,6}:{(41,1),(43,1),(45,1),(73,1)}
        59:{1,2,5,6}:{(42,1),(43,1),(46,1),(74,1),(75,1),(103,1),(104,1)}
        60:{1,3,5,7}:{(44,1),(48,1),(51,1),(72,1),(76,1),(78,1)}
        61:{2,3,5,7}:{(45,1),(49,1),(52,1),(73,1),(77,1),(78,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(53,1),(74,1),(76,1),(77,1),(78,1),(79,1),(97,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5,7}:{(46,1),(47,1),(75,1),(79,1)}
        64:{1,2,4,7}:{(48,1),(54,1),(76,1),(80,1),(98,1)}
        65:{1,2,4,7}:{(49,1),(55,1),(77,1),(81,1),(99,1)}
        66:{3,7}:{(50,1),(56,1)}
        67:{1,2,5}:{(51,1),(54,1),(82,1),(103,1)}
        68:{1,2,5}:{(52,1),(55,1),(83,1),(104,1)}
        69:{3,5}:{(53,1),(56,1),(84,1)}
        70:{2,3,6}:{(54,1),(56,1),(80,1),(82,1)}
        71:{1,3,6}:{(55,1),(56,1),(81,1),(83,1)}
        72:{1,3,6}:{(57,1),(60,1),(85,1),(87,1)}
        73:{2,3,6}:{(58,1),(61,1),(86,1),(87,1)}
        74:{1,2,4,6}:{(57,1),(58,1),(59,1),(62,1),(85,1),(86,1),(87,1),(88,1),(100,1),(101,1)}
        75:{3,5,6}:{(59,1),(63,1),(87,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(60,1),(64,1),(67,1),(85,1),(89,1)}
        77:{1,2,5,7}:{(61,1),(65,1),(68,1),(86,1),(90,1)}
        78:{3,5,7}:{(62,1),(66,1),(69,1),(87,1),(91,1),(102,1)}
        79:{4,7}:{(63,1),(88,1)}
        80:{2,3,7}:{(64,1),(66,1),(70,1)}
        81:{1,3,7}:{(65,1),(66,1),(71,1)}
        82:{2,3,5}:{(67,1),(69,1),(70,1),(92,1)}
        83:{1,3,5}:{(68,1),(69,1),(71,1),(93,1)}
        84:{3,4}:{(69,1),(92,1),(93,1)}
        85:{1,2,6}:{(72,1),(76,1),(94,1)}
        86:{1,2,6}:{(73,1),(77,1),(95,1)}
        87:{3,6}:{(74,1),(78,1)}
        88:{4,6}:{(75,1),(79,1),(97,1)}
        89:{2,3,5,7}:{(76,1),(78,1),(80,1),(82,1),(94,1),(98,1),(103,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(81,1),(83,1),(95,1),(99,1),(104,1)}
        91:{3,4,7}:{(78,1),(79,1),(84,1),(96,1),(98,1),(99,1)}
        92:{2,4}:{(82,1),(84,1)}
        93:{1,4}:{(83,1),(84,1)}
        94:{2,3,6}:{(85,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(86,1),(87,1),(90,1),(101,1)}
        96:{3,4,6}:{(87,1),(88,1),(91,1),(100,1),(101,1),(102,1)}
        97:{4,5}:{(88,1),(102,1)}
        98:{2,4,7}:{(89,1),(91,1),(92,1),(100,1)}
        99:{1,4,7}:{(90,1),(91,1),(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(96,1),(98,1),(103,1)}
       101:{1,4,6}:{(95,1),(96,1),(99,1),(104,1)}
       102:{3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{1,5}:{(101,1),(102,1)}

1091 :  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:{3,4,5}:{(2,1),(7,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
        6:{1,2,3,7}:{(3,1),(9,1)}
        7:{3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,5,6}:{(5,1),(10,1),(12,1)}
        9:{1,2,4,7}:{(5,1),(6,1),(11,1),(12,1)}
       10:{3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{3,4,7}:{(7,1),(9,1),(14,1)}
       12:{1,2,5,7}:{(8,1),(9,1),(14,1),(15,1)}
       13:{4,5,6}:{(10,1),(16,1)}
       14:{3,5,7}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
       15:{1,2,6,7}:{(12,1),(17,1)}
       16:{4,5,7}:{(13,1),(14,1),(18,1)}
       17:{3,6,7}:{(14,1),(15,1),(18,1)}
       18:{4,6,7}:{(16,1),(17,1),(19,1)}
       19:{5,6,7}:{(18,1)}

1092 :   0:{1,3,4,6,7}:{(2,1),(3,1),(16,1),(35,1),(39,1),(41,1),(65,1),(70,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(18,1),(37,1),(39,1),(41,1),(66,1),(71,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(6,1),(24,1),(25,1),(51,1),(53,1),(80,1),(84,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(26,1),(50,1),(82,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(9,1),(10,1),(26,1),(52,1),(83,1)}
         5:{1,2,3,6,7}:{(2,1),(13,1),(41,1),(65,1),(66,1),(76,1),(95,1),(101,1)}
         6:{1,2,5,7}:{(2,1),(3,1),(4,1),(14,1),(67,1),(68,1),(94,1)}
         7:{1,3,5,6}:{(3,1),(14,1),(16,1),(41,1),(44,1)}
         8:{1,4,5,7}:{(3,1),(16,1),(17,1),(89,1),(92,1)}
         9:{2,3,5,6}:{(4,1),(14,1),(18,1),(41,1),(46,1)}
        10:{2,4,5,7}:{(4,1),(18,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(7,1),(20,1),(21,1),(49,1),(50,1),(78,1)}
        12:{2,3,5,6,7}:{(9,1),(20,1),(22,1),(49,1),(52,1),(79,1)}
        13:{1,2,3,5,7}:{(5,1),(6,1),(23,1),(24,1),(26,1),(61,1),(78,1),(79,1),(85,1),(99,1)}
        14:{1,2,5,6}:{(6,1),(7,1),(9,1),(25,1),(62,1),(63,1)}
        15:{1,2,4,5,7}:{(6,1),(8,1),(10,1),(24,1),(25,1),(26,1),(29,1),(32,1),(54,1),(61,1),(97,1),(98,1)}
        16:{1,4,6}:{(7,1),(8,1),(28,1)}
        17:{3,4,5,7}:{(8,1),(26,1),(28,1),(29,1),(50,1),(77,1),(81,1)}
        18:{2,4,6}:{(9,1),(10,1),(31,1)}
        19:{3,4,5,7}:{(10,1),(26,1),(31,1),(32,1),(52,1),(77,1),(81,1)}
        20:{1,2,5,6,7}:{(11,1),(12,1),(14,1),(33,1),(67,1),(68,1),(91,1)}
        21:{1,4,6,7}:{(11,1),(16,1),(34,1),(35,1),(89,1)}
        22:{2,4,6,7}:{(12,1),(18,1),(36,1),(37,1),(90,1)}
        23:{1,2,3,5,6}:{(13,1),(14,1),(38,1),(41,1),(69,1),(74,1),(75,1),(76,1),(94,1),(95,1)}
        24:{1,2,4,7}:{(13,1),(38,1),(39,1),(89,1),(90,1),(103,1)}
        25:{1,2,4,6}:{(14,1),(15,1),(16,1),(18,1),(41,1),(45,1),(47,1),(76,1)}
        26:{3,5,7}:{(15,1),(39,1),(41,1),(69,1),(101,1),(102,1)}
        27:{1,4,5,6}:{(16,1),(34,1),(44,1)}
        28:{3,4,6}:{(16,1),(17,1),(41,1),(44,1),(45,1)}
        29:{2,4,5,7}:{(17,1),(43,1),(45,1),(67,1),(90,1),(93,1)}
        30:{2,4,5,6}:{(18,1),(36,1),(46,1)}
        31:{3,4,6}:{(18,1),(19,1),(41,1),(46,1),(47,1)}
        32:{1,4,5,7}:{(19,1),(42,1),(47,1),(68,1),(89,1),(92,1)}
        33:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(25,1),(48,1),(49,1),(51,1),(53,1),(80,1),(97,1)}
        34:{1,4,5,7}:{(21,1),(27,1),(50,1)}
        35:{3,4,6,7}:{(21,1),(28,1),(49,1),(50,1),(51,1),(77,1)}
        36:{2,4,5,7}:{(22,1),(30,1),(52,1)}
        37:{3,4,6,7}:{(22,1),(31,1),(49,1),(52,1),(53,1),(77,1)}
        38:{1,2,4,6}:{(23,1),(24,1),(54,1),(55,1),(86,1),(87,1)}
        39:{3,4,7}:{(24,1),(26,1),(55,1),(104,1)}
        40:{1,2,4,5,6}:{(25,1),(27,1),(30,1),(48,1),(54,1),(58,1),(62,1),(63,1),(86,1),(87,1),(88,1)}
        41:{3,6}:{(25,1),(26,1)}
        42:{1,3,5,7}:{(26,1),(32,1),(56,1),(59,1),(61,1),(82,1)}
        43:{2,3,5,7}:{(26,1),(29,1),(57,1),(60,1),(61,1),(83,1)}
        44:{3,5,6}:{(27,1),(28,1),(50,1),(62,1)}
        45:{2,4,6}:{(28,1),(29,1),(60,1),(62,1)}
        46:{3,5,6}:{(30,1),(31,1),(52,1),(63,1)}
        47:{1,4,6}:{(31,1),(32,1),(59,1),(63,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(64,1),(67,1),(68,1),(89,1),(90,1),(91,1)}
        49:{3,6,7}:{(33,1),(41,1),(64,1),(101,1)}
        50:{3,5,7}:{(34,1),(35,1),(44,1),(67,1)}
        51:{2,4,6,7}:{(35,1),(45,1),(66,1),(67,1),(90,1)}
        52:{3,5,7}:{(36,1),(37,1),(46,1),(68,1)}
        53:{1,4,6,7}:{(37,1),(47,1),(65,1),(68,1),(89,1)}
        54:{1,2,4,5}:{(38,1),(69,1),(92,1),(93,1),(94,1)}
        55:{3,4,6}:{(38,1),(39,1),(41,1),(69,1)}
        56:{1,3,4,7}:{(39,1),(42,1),(70,1),(72,1),(89,1),(101,1)}
        57:{2,3,4,7}:{(39,1),(43,1),(71,1),(72,1),(90,1),(101,1)}
        58:{3,5,6}:{(40,1),(41,1),(64,1),(69,1),(73,1)}
        59:{1,3,6}:{(41,1),(42,1),(47,1),(76,1)}
        60:{2,3,6}:{(41,1),(43,1),(45,1),(76,1)}
        61:{1,2,5,7}:{(42,1),(43,1),(72,1),(76,1),(94,1)}
        62:{2,5,6}:{(44,1),(45,1),(67,1)}
        63:{1,5,6}:{(46,1),(47,1),(68,1)}
        64:{3,5,7}:{(48,1),(49,1),(58,1),(77,1)}
        65:{1,3,6,7}:{(49,1),(53,1),(59,1),(78,1),(80,1)}
        66:{2,3,6,7}:{(49,1),(51,1),(60,1),(79,1),(80,1)}
        67:{2,5,7}:{(50,1),(51,1),(62,1)}
        68:{1,5,7}:{(52,1),(53,1),(63,1)}
        69:{3,5}:{(54,1),(55,1)}
        70:{1,3,4,6}:{(55,1),(56,1),(59,1),(82,1),(84,1),(86,1),(100,1),(104,1)}
        71:{2,3,4,6}:{(55,1),(57,1),(60,1),(83,1),(84,1),(87,1),(100,1),(104,1)}
        72:{1,2,4,7}:{(56,1),(57,1),(61,1),(84,1),(85,1)}
        73:{3,4,6}:{(58,1),(77,1),(81,1),(86,1),(87,1),(100,1)}
        74:{1,3,5,6}:{(58,1),(59,1),(63,1),(78,1),(82,1),(86,1),(88,1),(100,1)}
        75:{2,3,5,6}:{(58,1),(60,1),(62,1),(79,1),(83,1),(87,1),(88,1),(100,1)}
        76:{1,2,6}:{(59,1),(60,1),(61,1)}
        77:{3,4,7}:{(64,1),(73,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(65,1),(68,1),(74,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(66,1),(67,1),(75,1),(90,1),(91,1),(101,1)}
        80:{1,2,6,7}:{(65,1),(66,1),(76,1),(91,1)}
        81:{3,4,5}:{(69,1),(73,1),(92,1),(93,1),(102,1)}
        82:{1,3,5}:{(69,1),(70,1),(92,1),(94,1),(102,1)}
        83:{2,3,5}:{(69,1),(71,1),(93,1),(94,1),(102,1)}
        84:{1,2,4,6}:{(70,1),(71,1),(72,1),(76,1),(94,1),(95,1),(103,1)}
        85:{1,2,3,7}:{(72,1),(95,1),(101,1)}
        86:{1,4,6}:{(73,1),(74,1),(89,1),(92,1)}
        87:{2,4,6}:{(73,1),(75,1),(90,1),(93,1)}
        88:{1,2,5,6}:{(74,1),(75,1),(76,1),(91,1),(94,1),(96,1)}
        89:{1,4,7}:{(77,1),(78,1),(86,1)}
        90:{2,4,7}:{(77,1),(79,1),(87,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(80,1),(88,1),(97,1)}
        92:{1,4,5}:{(81,1),(82,1),(86,1)}
        93:{2,4,5}:{(81,1),(83,1),(87,1)}
        94:{1,2,5}:{(82,1),(83,1),(84,1)}
        95:{1,2,3,6}:{(84,1),(85,1),(99,1),(100,1)}
        96:{1,2,4,6}:{(86,1),(87,1),(88,1),(97,1),(98,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(96,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(96,1),(102,1),(103,1)}
        99:{1,2,3,5}:{(94,1),(95,1),(102,1),(103,1)}
       100:{3,6}:{(96,1),(101,1),(102,1)}
       101:{3,7}:{(97,1),(100,1)}
       102:{3,5}:{(98,1),(100,1),(104,1)}
       103:{1,2,4}:{(99,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1093 :   0:{1,2,3,6}:{(3,1),(4,1),(5,1),(70,1),(125,1)}
         1:{2,3,4,6}:{(4,1),(6,1),(7,1),(20,1),(27,1),(30,1),(70,1),(72,1)}
         2:{1,3,4,6}:{(4,1),(8,1),(9,1),(20,1),(32,1),(35,1),(70,1),(72,1)}
         3:{1,2,3,5}:{(0,1),(10,1),(12,1),(38,1),(41,1),(95,1)}
         4:{1,2,4,6}:{(0,1),(1,1),(2,1),(10,1),(12,1),(13,1),(47,1)}
         5:{1,2,3,7}:{(0,1),(13,1),(104,1),(151,1),(224,1)}
         6:{2,3,5}:{(1,1),(12,1),(14,1),(41,1),(106,1)}
         7:{2,3,4,7}:{(1,1),(13,1),(16,1),(42,1),(51,1),(104,1),(194,1)}
         8:{1,3,5}:{(2,1),(12,1),(17,1),(41,1),(106,1)}
         9:{1,3,4,7}:{(2,1),(13,1),(19,1),(42,1),(57,1),(104,1),(193,1)}
        10:{1,2,4}:{(3,1),(20,1)}
        11:{1,2,3,5,7}:{(3,1),(5,1),(22,1),(23,1),(25,1),(65,1),(71,1),(75,1),(126,1),(128,1)}
        12:{1,2,5}:{(4,1),(6,1),(8,1)}
        13:{1,2,4,7}:{(4,1),(5,1),(7,1),(9,1),(25,1),(211,1)}
        14:{2,4,5}:{(6,1),(26,1),(27,1),(137,1)}
        15:{2,3,5,6}:{(6,1),(24,1),(27,1),(29,1),(30,1),(60,1),(70,1),(82,1),(136,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(25,1),(28,1),(30,1),(71,1),(210,1),(228,1)}
        17:{1,4,5}:{(8,1),(31,1),(32,1),(137,1)}
        18:{1,3,5,6}:{(8,1),(24,1),(32,1),(34,1),(35,1),(62,1),(70,1),(88,1),(136,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(25,1),(33,1),(35,1),(71,1),(209,1),(227,1)}
        20:{3,4}:{(10,1),(41,1)}
        21:{1,2,4,5}:{(10,1),(12,1),(14,1),(17,1),(41,1),(43,1),(48,1),(54,1),(95,1)}
        22:{1,2,4,7}:{(10,1),(11,1),(42,1),(45,1),(154,1)}
        23:{1,2,3,6}:{(11,1),(45,1),(47,1),(105,1),(152,1)}
        24:{1,2,5,6}:{(12,1),(15,1),(18,1),(43,1),(46,1),(47,1),(89,1),(92,1)}
        25:{1,2,5,7}:{(12,1),(13,1),(16,1),(19,1),(47,1),(223,1),(230,1)}
        26:{3,4,5}:{(14,1),(41,1),(48,1),(49,1)}
        27:{2,4,6}:{(14,1),(15,1),(49,1),(51,1),(162,1)}
        28:{2,4,5,7}:{(14,1),(16,1),(50,1),(51,1),(52,1),(113,1),(200,1),(226,1)}
        29:{2,3,5,7}:{(15,1),(46,1),(51,1),(53,1),(90,1),(104,1),(113,1),(161,1)}
        30:{2,3,6}:{(16,1),(47,1),(52,1),(105,1)}
        31:{3,4,5}:{(17,1),(41,1),(54,1),(55,1)}
        32:{1,4,6}:{(17,1),(18,1),(55,1),(57,1),(162,1)}
        33:{1,4,5,7}:{(17,1),(19,1),(56,1),(57,1),(58,1),(118,1),(197,1),(225,1)}
        34:{1,3,5,7}:{(18,1),(46,1),(57,1),(59,1),(93,1),(104,1),(118,1),(161,1)}
        35:{1,3,6}:{(19,1),(47,1),(58,1),(105,1)}
        36:{2,4,5,6}:{(27,1),(60,1),(61,1),(82,1),(142,1)}
        37:{1,4,5,6}:{(32,1),(62,1),(63,1),(88,1),(146,1)}
        38:{1,2,3}:{(64,1)}
        39:{2,3,4}:{(20,1),(64,1),(66,1)}
        40:{1,3,4}:{(20,1),(64,1),(68,1)}
        41:{3,5}:{(20,1),(21,1),(70,1)}
        42:{3,4,7}:{(20,1),(22,1),(71,1),(72,1),(176,1),(183,1)}
        43:{1,2,4,6}:{(21,1),(24,1),(27,1),(32,1),(70,1),(73,1),(77,1),(83,1),(125,1)}
        44:{1,2,4,5,7}:{(21,1),(22,1),(25,1),(28,1),(33,1),(71,1),(73,1),(74,1),(75,1),(78,1),(84,1),(126,1),(137,1),(138,1),(175,1),(183,1),(207,1)}
        45:{1,2,4,6}:{(22,1),(23,1),(72,1),(75,1)}
        46:{1,2,5,7}:{(24,1),(29,1),(34,1),(73,1),(76,1),(119,1),(122,1)}
        47:{1,2,6}:{(25,1),(30,1),(35,1)}
        48:{1,4,5}:{(26,1),(68,1),(77,1)}
        49:{3,4,6}:{(26,1),(27,1),(60,1),(70,1),(77,1),(79,1)}
        50:{3,4,5,7}:{(26,1),(28,1),(71,1),(78,1),(79,1),(80,1),(137,1),(141,1),(182,1),(183,1),(214,1)}
        51:{2,4,7}:{(27,1),(29,1),(79,1),(183,1)}
        52:{2,4,6}:{(28,1),(30,1),(80,1),(82,1)}
        53:{2,3,6,7}:{(29,1),(30,1),(76,1),(81,1),(120,1),(135,1),(228,1)}
        54:{2,4,5}:{(31,1),(66,1),(83,1)}
        55:{3,4,6}:{(31,1),(32,1),(62,1),(70,1),(83,1),(85,1)}
        56:{3,4,5,7}:{(31,1),(33,1),(71,1),(84,1),(85,1),(86,1),(137,1),(145,1),(179,1),(183,1),(212,1)}
        57:{1,4,7}:{(32,1),(34,1),(85,1),(183,1)}
        58:{1,4,6}:{(33,1),(35,1),(86,1),(88,1)}
        59:{1,3,6,7}:{(34,1),(35,1),(76,1),(87,1),(123,1),(135,1),(227,1)}
        60:{3,5,6}:{(36,1),(49,1),(89,1),(90,1)}
        61:{2,4,5,7}:{(36,1),(51,1),(90,1),(91,1),(113,1),(165,1)}
        62:{3,5,6}:{(37,1),(55,1),(92,1),(93,1)}
        63:{1,4,5,7}:{(37,1),(57,1),(93,1),(94,1),(118,1),(168,1)}
        64:{1,2,4}:{(38,1),(39,1),(40,1),(95,1)}
        65:{1,2,3,7}:{(38,1),(96,1),(97,1),(220,1),(230,1)}
        66:{2,3,5}:{(39,1),(41,1),(54,1),(95,1),(98,1)}
        67:{2,3,4,7}:{(39,1),(42,1),(96,1),(99,1),(100,1),(195,1),(220,1)}
        68:{1,3,5}:{(40,1),(41,1),(48,1),(95,1),(101,1)}
        69:{1,3,4,7}:{(40,1),(42,1),(96,1),(102,1),(103,1),(198,1),(220,1)}
        70:{3,6}:{(41,1),(43,1),(104,1)}
        71:{3,5,7}:{(41,1),(42,1),(44,1),(104,1),(105,1),(106,1),(192,1),(220,1)}
        72:{3,4,6}:{(42,1),(45,1),(105,1),(106,1),(162,1)}
        73:{1,2,4,7}:{(43,1),(46,1),(51,1),(57,1),(104,1),(109,1),(114,1),(151,1)}
        74:{1,2,4,6}:{(44,1),(47,1),(52,1),(58,1),(105,1),(108,1),(110,1),(115,1),(152,1),(162,1)}
        75:{1,2,5}:{(45,1),(106,1)}
        76:{1,2,6,7}:{(46,1),(47,1),(53,1),(59,1),(147,1),(149,1),(230,1)}
        77:{1,4,6}:{(48,1),(49,1),(89,1),(101,1),(109,1)}
        78:{1,4,5,7}:{(48,1),(50,1),(102,1),(109,1),(110,1),(160,1),(163,1),(198,1)}
        79:{3,4,7}:{(49,1),(51,1),(90,1),(104,1),(109,1)}
        80:{3,4,6}:{(50,1),(52,1),(105,1),(110,1),(112,1),(162,1)}
        81:{2,4,6,7}:{(51,1),(52,1),(53,1),(111,1),(113,1),(218,1),(226,1)}
        82:{2,5,6}:{(52,1),(112,1),(113,1)}
        83:{2,4,6}:{(54,1),(55,1),(92,1),(98,1),(114,1)}
        84:{2,4,5,7}:{(54,1),(56,1),(99,1),(114,1),(115,1),(157,1),(166,1),(195,1)}
        85:{3,4,7}:{(55,1),(57,1),(93,1),(104,1),(114,1)}
        86:{3,4,6}:{(56,1),(58,1),(105,1),(115,1),(117,1),(162,1)}
        87:{1,4,6,7}:{(57,1),(58,1),(59,1),(116,1),(118,1),(219,1),(225,1)}
        88:{1,5,6}:{(58,1),(117,1),(118,1)}
        89:{1,5,6}:{(60,1),(77,1),(119,1)}
        90:{3,5,7}:{(60,1),(61,1),(79,1),(119,1),(120,1)}
        91:{2,4,6,7}:{(61,1),(120,1),(121,1),(170,1)}
        92:{2,5,6}:{(62,1),(83,1),(122,1)}
        93:{3,5,7}:{(62,1),(63,1),(85,1),(122,1),(123,1)}
        94:{1,4,6,7}:{(63,1),(123,1),(124,1),(172,1)}
        95:{1,2,5}:{(64,1),(66,1),(68,1),(125,1)}
        96:{1,2,4,7}:{(64,1),(65,1),(67,1),(69,1),(126,1),(127,1)}
        97:{1,2,3,6}:{(65,1),(127,1),(128,1),(208,1),(229,1)}
        98:{2,3,6}:{(66,1),(70,1),(83,1),(125,1),(129,1)}
        99:{2,3,5,7}:{(66,1),(67,1),(71,1),(84,1),(126,1),(129,1),(130,1),(131,1)}
       100:{2,3,4,6}:{(67,1),(72,1),(127,1),(130,1),(131,1),(176,1),(178,1),(208,1)}
       101:{1,3,6}:{(68,1),(70,1),(77,1),(125,1),(132,1)}
       102:{1,3,5,7}:{(68,1),(69,1),(71,1),(78,1),(126,1),(132,1),(133,1),(134,1)}
       103:{1,3,4,6}:{(69,1),(72,1),(127,1),(133,1),(134,1),(176,1),(181,1),(208,1)}
       104:{3,7}:{(70,1),(73,1)}
       105:{3,6}:{(71,1),(74,1)}
       106:{3,5}:{(72,1),(75,1),(137,1)}
       107:{1,2,4,6,7}:{(73,1),(74,1),(76,1),(81,1),(87,1),(135,1),(138,1),(139,1),(143,1),(173,1),(183,1),(207,1)}
       108:{1,2,5,6}:{(74,1),(75,1),(82,1),(88,1),(136,1),(138,1),(140,1),(144,1)}
       109:{1,4,7}:{(77,1),(79,1),(119,1),(132,1)}
       110:{1,4,6}:{(78,1),(80,1),(133,1),(140,1)}
       111:{3,4,6,7}:{(79,1),(80,1),(81,1),(120,1),(135,1),(139,1),(141,1),(170,1),(183,1),(205,1),(214,1)}
       112:{3,5,6}:{(80,1),(82,1),(140,1),(141,1),(142,1)}
       113:{2,5,7}:{(81,1),(82,1),(141,1)}
       114:{2,4,7}:{(83,1),(85,1),(122,1),(129,1)}
       115:{2,4,6}:{(84,1),(86,1),(130,1),(144,1)}
       116:{3,4,6,7}:{(85,1),(86,1),(87,1),(123,1),(135,1),(143,1),(145,1),(172,1),(183,1),(206,1),(212,1)}
       117:{3,5,6}:{(86,1),(88,1),(144,1),(145,1),(146,1)}
       118:{1,5,7}:{(87,1),(88,1),(145,1)}
       119:{1,5,7}:{(89,1),(90,1),(109,1),(147,1)}
       120:{3,6,7}:{(90,1),(91,1),(147,1)}
       121:{2,5,6,7}:{(91,1),(113,1),(148,1),(218,1)}
       122:{2,5,7}:{(92,1),(93,1),(114,1),(149,1)}
       123:{3,6,7}:{(93,1),(94,1),(149,1)}
       124:{1,5,6,7}:{(94,1),(118,1),(150,1),(219,1)}
       125:{1,2,6}:{(95,1),(98,1),(101,1),(151,1)}
       126:{1,2,5,7}:{(95,1),(96,1),(99,1),(102,1),(151,1),(152,1),(153,1)}
       127:{1,2,4,6}:{(96,1),(97,1),(100,1),(103,1),(152,1),(153,1),(154,1)}
       128:{1,2,3,5}:{(97,1),(153,1),(154,1),(192,1),(223,1),(224,1)}
       129:{2,3,7}:{(98,1),(104,1),(114,1),(151,1)}
       130:{2,3,6}:{(99,1),(105,1),(115,1),(152,1)}
       131:{2,3,5}:{(100,1),(106,1),(153,1),(157,1),(192,1)}
       132:{1,3,7}:{(101,1),(104,1),(109,1),(151,1)}
       133:{1,3,6}:{(102,1),(105,1),(110,1),(152,1)}
       134:{1,3,5}:{(103,1),(106,1),(153,1),(160,1),(192,1)}
       135:{3,6,7}:{(104,1),(105,1),(107,1),(161,1),(220,1)}
       136:{3,5,6}:{(105,1),(106,1),(108,1),(161,1),(162,1)}
       137:{4,5}:{(106,1),(162,1)}
       138:{1,2,5,7}:{(107,1),(108,1),(113,1),(118,1),(161,1),(163,1),(166,1)}
       139:{1,4,6,7}:{(109,1),(110,1),(111,1),(147,1),(158,1),(163,1),(198,1)}
       140:{1,5,6}:{(110,1),(112,1),(163,1)}
       141:{3,5,7}:{(111,1),(112,1),(113,1),(163,1),(165,1)}
       142:{4,5,6}:{(112,1),(162,1),(165,1)}
       143:{2,4,6,7}:{(114,1),(115,1),(116,1),(149,1),(155,1),(166,1),(195,1)}
       144:{2,5,6}:{(115,1),(117,1),(166,1)}
       145:{3,5,7}:{(116,1),(117,1),(118,1),(166,1),(168,1)}
       146:{4,5,6}:{(117,1),(162,1),(168,1)}
       147:{1,6,7}:{(119,1),(120,1)}
       148:{3,5,6,7}:{(120,1),(121,1),(141,1),(169,1),(170,1),(205,1)}
       149:{2,6,7}:{(122,1),(123,1)}
       150:{3,5,6,7}:{(123,1),(124,1),(145,1),(171,1),(172,1),(206,1)}
       151:{1,2,7}:{(125,1),(129,1),(132,1)}
       152:{1,2,6}:{(126,1),(130,1),(133,1)}
       153:{1,2,5}:{(127,1),(131,1),(134,1)}
       154:{1,2,4}:{(128,1),(176,1)}
       155:{2,3,6,7}:{(129,1),(130,1),(135,1),(143,1),(173,1),(177,1),(206,1)}
       156:{2,3,5,6}:{(130,1),(131,1),(136,1),(144,1),(174,1),(177,1),(178,1),(187,1),(208,1)}
       157:{2,4,5}:{(131,1),(137,1),(178,1),(179,1)}
       158:{1,3,6,7}:{(132,1),(133,1),(135,1),(139,1),(173,1),(180,1),(205,1)}
       159:{1,3,5,6}:{(133,1),(134,1),(136,1),(140,1),(174,1),(180,1),(181,1),(185,1),(208,1)}
       160:{1,4,5}:{(134,1),(137,1),(181,1),(182,1)}
       161:{3,5,7}:{(135,1),(136,1),(138,1),(183,1)}
       162:{4,6}:{(136,1),(137,1),(183,1)}
       163:{1,5,7}:{(139,1),(140,1),(141,1)}
       164:{1,4,5,6}:{(140,1),(142,1),(181,1),(184,1),(185,1)}
       165:{4,5,7}:{(141,1),(142,1),(170,1),(183,1)}
       166:{2,5,7}:{(143,1),(144,1),(145,1)}
       167:{2,4,5,6}:{(144,1),(146,1),(178,1),(186,1),(187,1)}
       168:{4,5,7}:{(145,1),(146,1),(172,1),(183,1)}
       169:{1,5,6,7}:{(147,1),(148,1),(163,1),(188,1)}
       170:{4,6,7}:{(148,1),(165,1)}
       171:{2,5,6,7}:{(149,1),(150,1),(166,1),(189,1)}
       172:{4,6,7}:{(150,1),(168,1)}
       173:{1,2,6,7}:{(151,1),(152,1),(155,1),(158,1),(190,1),(218,1),(219,1)}
       174:{1,2,5,6}:{(152,1),(153,1),(156,1),(159,1),(190,1),(191,1),(202,1),(204,1)}
       175:{1,2,4,5}:{(153,1),(154,1),(157,1),(160,1),(191,1),(192,1),(197,1),(200,1),(223,1)}
       176:{3,4}:{(154,1),(192,1)}
       177:{2,3,5,7}:{(155,1),(156,1),(161,1),(166,1),(190,1),(195,1),(203,1),(220,1)}
       178:{2,4,6}:{(156,1),(157,1),(162,1),(195,1),(196,1)}
       179:{3,4,5}:{(157,1),(192,1),(196,1),(197,1)}
       180:{1,3,5,7}:{(158,1),(159,1),(161,1),(163,1),(190,1),(198,1),(201,1),(220,1)}
       181:{1,4,6}:{(159,1),(160,1),(162,1),(198,1),(199,1)}
       182:{3,4,5}:{(160,1),(192,1),(199,1),(200,1)}
       183:{4,7}:{(161,1),(162,1)}
       184:{1,4,5,7}:{(163,1),(164,1),(165,1),(188,1),(198,1),(201,1)}
       185:{3,5,6}:{(164,1),(199,1),(201,1),(202,1)}
       186:{2,4,5,7}:{(166,1),(167,1),(168,1),(189,1),(195,1),(203,1)}
       187:{3,5,6}:{(167,1),(196,1),(203,1),(204,1)}
       188:{1,4,6,7}:{(169,1),(170,1),(184,1),(205,1)}
       189:{2,4,6,7}:{(171,1),(172,1),(186,1),(206,1)}
       190:{1,2,5,7}:{(173,1),(174,1),(177,1),(180,1),(207,1),(216,1),(217,1)}
       191:{1,2,4,6}:{(174,1),(175,1),(178,1),(181,1),(207,1),(208,1),(213,1),(215,1),(229,1)}
       192:{3,5}:{(175,1),(176,1),(208,1)}
       193:{1,3,4}:{(176,1),(209,1),(211,1)}
       194:{2,3,4}:{(176,1),(210,1),(211,1)}
       195:{2,4,7}:{(177,1),(178,1),(183,1),(212,1)}
       196:{3,4,6}:{(178,1),(179,1),(187,1),(208,1),(212,1),(213,1)}
       197:{1,4,5}:{(179,1),(209,1),(213,1)}
       198:{1,4,7}:{(180,1),(181,1),(183,1),(214,1)}
       199:{3,4,6}:{(181,1),(182,1),(185,1),(208,1),(214,1),(215,1)}
       200:{2,4,5}:{(182,1),(210,1),(215,1)}
       201:{3,5,7}:{(184,1),(185,1),(205,1),(214,1),(216,1)}
       202:{2,5,6}:{(185,1),(215,1),(216,1)}
       203:{3,5,7}:{(186,1),(187,1),(206,1),(212,1),(217,1)}
       204:{1,5,6}:{(187,1),(213,1),(217,1)}
       205:{3,6,7}:{(188,1),(201,1),(218,1)}
       206:{3,6,7}:{(189,1),(203,1),(219,1)}
       207:{1,2,4,7}:{(190,1),(191,1),(195,1),(198,1),(220,1),(225,1),(226,1),(230,1)}
       208:{3,6}:{(191,1),(192,1),(220,1)}
       209:{1,3,5}:{(192,1),(193,1),(197,1),(221,1),(223,1)}
       210:{2,3,5}:{(192,1),(194,1),(200,1),(222,1),(223,1)}
       211:{1,2,4}:{(193,1),(194,1),(223,1),(224,1)}
       212:{3,4,7}:{(195,1),(196,1),(203,1),(220,1),(225,1)}
       213:{1,4,6}:{(196,1),(197,1),(204,1),(221,1),(225,1)}
       214:{3,4,7}:{(198,1),(199,1),(201,1),(220,1),(226,1)}
       215:{2,4,6}:{(199,1),(200,1),(202,1),(222,1),(226,1)}
       216:{2,5,7}:{(201,1),(202,1),(218,1),(226,1)}
       217:{1,5,7}:{(203,1),(204,1),(219,1),(225,1)}
       218:{2,6,7}:{(205,1),(216,1)}
       219:{1,6,7}:{(206,1),(217,1)}
       220:{3,7}:{(207,1),(208,1)}
       221:{1,3,6}:{(208,1),(209,1),(213,1),(227,1),(229,1)}
       222:{2,3,6}:{(208,1),(210,1),(215,1),(228,1),(229,1)}
       223:{1,2,5}:{(209,1),(210,1),(211,1),(229,1)}
       224:{1,2,3}:{(211,1)}
       225:{1,4,7}:{(212,1),(213,1),(217,1),(227,1)}
       226:{2,4,7}:{(214,1),(215,1),(216,1),(228,1)}
       227:{1,3,7}:{(220,1),(221,1),(225,1),(230,1)}
       228:{2,3,7}:{(220,1),(222,1),(226,1),(230,1)}
       229:{1,2,6}:{(221,1),(222,1),(223,1),(230,1)}
       230:{1,2,7}:{(227,1),(228,1),(229,1)}

1094 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(16,1),(17,1),(20,1),(21,1),(38,1),(71,1),(95,1),(96,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(114,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(18,1),(19,1),(20,1),(127,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(15,1),(71,1),(97,1),(126,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(26,1),(27,1),(28,1)}
         5:{3,5,7}:{(2,1),(3,1),(9,1),(135,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(58,1),(62,1),(87,1),(92,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(58,1),(62,1),(86,1),(91,1),(111,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(36,1),(37,1),(38,1),(65,1),(106,1)}
         9:{3,5,6}:{(4,1),(5,1),(15,1)}
        10:{3,4,5,7}:{(5,1),(15,1),(18,1),(19,1),(45,1),(97,1),(101,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1),(45,1),(109,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(45,1),(108,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(41,1),(46,1),(107,1)}
        14:{3,5,6,7}:{(8,1),(9,1),(23,1),(82,1),(120,1)}
        15:{3,4,6}:{(9,1),(10,1),(26,1),(27,1),(58,1)}
        16:{1,3,5,6}:{(9,1),(11,1),(26,1),(28,1),(58,1)}
        17:{2,3,5,6}:{(9,1),(12,1),(27,1),(28,1),(58,1)}
        18:{1,4,5,7}:{(10,1),(11,1),(26,1),(112,1),(116,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(27,1),(111,1),(115,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(28,1),(121,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(58,1),(86,1),(87,1),(90,1)}
        22:{3,4,5,6}:{(15,1),(33,1),(34,1),(35,1),(68,1),(101,1),(125,1)}
        23:{3,4,6,7}:{(14,1),(15,1),(33,1),(36,1),(37,1),(71,1),(97,1),(125,1)}
        24:{1,3,5,6,7}:{(14,1),(16,1),(36,1),(38,1),(63,1),(71,1),(96,1),(130,1)}
        25:{2,3,5,6,7}:{(14,1),(17,1),(37,1),(38,1),(64,1),(71,1),(95,1),(129,1)}
        26:{1,4,6}:{(15,1),(16,1),(18,1)}
        27:{2,4,6}:{(15,1),(17,1),(19,1)}
        28:{1,2,5,6}:{(16,1),(17,1),(20,1),(41,1)}
        29:{1,3,4,5,7}:{(18,1),(39,1),(43,1),(45,1),(63,1),(79,1),(97,1),(101,1),(109,1),(124,1),(137,1)}
        30:{2,3,4,5,7}:{(19,1),(40,1),(44,1),(45,1),(64,1),(78,1),(97,1),(101,1),(108,1),(123,1),(137,1)}
        31:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(41,1),(45,1),(46,1),(76,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(42,1),(45,1),(46,1),(95,1),(96,1)}
        33:{3,4,5,7}:{(22,1),(23,1),(47,1),(48,1),(82,1)}
        34:{1,4,5,6}:{(22,1),(26,1),(47,1),(49,1),(116,1),(134,1)}
        35:{2,4,5,6}:{(22,1),(27,1),(48,1),(50,1),(115,1),(133,1)}
        36:{1,4,6,7}:{(23,1),(24,1),(26,1),(47,1),(112,1),(134,1)}
        37:{2,4,6,7}:{(23,1),(25,1),(27,1),(48,1),(111,1),(133,1)}
        38:{1,2,5,6,7}:{(24,1),(25,1),(28,1),(54,1),(80,1),(81,1),(136,1)}
        39:{1,3,4,6}:{(26,1),(29,1),(49,1),(56,1),(58,1),(85,1),(134,1),(139,1)}
        40:{2,3,4,6}:{(27,1),(30,1),(50,1),(57,1),(58,1),(85,1),(133,1),(139,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(58,1)}
        42:{1,2,3,5,6}:{(28,1),(32,1),(58,1),(59,1),(83,1),(84,1),(90,1),(93,1),(121,1)}
        43:{1,2,4,5,7}:{(29,1),(56,1),(60,1),(80,1),(94,1),(111,1),(115,1),(121,1)}
        44:{1,2,4,5,7}:{(30,1),(57,1),(61,1),(81,1),(94,1),(112,1),(116,1),(121,1)}
        45:{3,5,7}:{(31,1),(58,1),(62,1),(93,1)}
        46:{1,2,4,7}:{(32,1),(59,1),(62,1),(111,1),(112,1)}
        47:{1,4,5,7}:{(33,1),(34,1),(36,1),(63,1)}
        48:{2,4,5,7}:{(33,1),(35,1),(37,1),(64,1)}
        49:{1,3,5,6}:{(34,1),(39,1),(63,1),(66,1),(68,1),(109,1)}
        50:{2,3,5,6}:{(35,1),(40,1),(64,1),(67,1),(68,1),(108,1)}
        51:{1,2,4,5,6}:{(34,1),(35,1),(41,1),(65,1),(66,1),(67,1),(68,1),(76,1),(99,1),(100,1),(127,1),(138,1)}
        52:{1,3,4,6,7}:{(36,1),(39,1),(63,1),(69,1),(71,1),(97,1)}
        53:{2,3,4,6,7}:{(37,1),(40,1),(64,1),(70,1),(71,1),(97,1)}
        54:{1,2,4,6,7}:{(36,1),(37,1),(38,1),(41,1),(65,1),(71,1),(138,1)}
        55:{1,2,3,5,6,7}:{(38,1),(42,1),(71,1),(72,1),(95,1),(96,1),(102,1),(105,1),(128,1),(129,1),(130,1)}
        56:{1,2,4,6}:{(39,1),(43,1),(66,1),(73,1),(99,1)}
        57:{1,2,4,6}:{(40,1),(44,1),(67,1),(74,1),(100,1)}
        58:{3,6}:{(41,1),(45,1)}
        59:{1,2,4,6}:{(42,1),(46,1),(75,1),(76,1),(99,1),(100,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(73,1),(78,1),(108,1),(137,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(74,1),(79,1),(109,1),(137,1)}
        62:{3,4,7}:{(45,1),(46,1),(75,1)}
        63:{1,3,5,7}:{(47,1),(49,1),(52,1),(80,1),(82,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(53,1),(81,1),(82,1)}
        65:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(54,1),(80,1),(81,1),(82,1),(111,1),(112,1)}
        66:{1,2,5,6}:{(49,1),(56,1),(80,1),(83,1),(121,1)}
        67:{1,2,5,6}:{(50,1),(57,1),(81,1),(84,1),(121,1)}
        68:{3,5,6}:{(51,1),(58,1),(82,1),(85,1),(93,1),(135,1),(139,1)}
        69:{1,2,4,6,7}:{(52,1),(56,1),(80,1),(86,1),(111,1)}
        70:{1,2,4,6,7}:{(53,1),(57,1),(81,1),(87,1),(112,1)}
        71:{3,6,7}:{(54,1),(58,1),(82,1),(139,1)}
        72:{1,2,4,6,7}:{(55,1),(59,1),(88,1),(89,1),(111,1),(112,1),(133,1),(134,1)}
        73:{2,3,6}:{(56,1),(58,1),(60,1),(139,1)}
        74:{1,3,6}:{(57,1),(58,1),(61,1),(139,1)}
        75:{3,4,6}:{(58,1),(59,1),(62,1),(93,1)}
        76:{1,2,4,5}:{(59,1),(93,1),(115,1),(116,1),(121,1)}
        77:{1,2,3,5,7}:{(60,1),(61,1),(90,1),(94,1),(121,1)}
        78:{2,3,4,7}:{(60,1),(62,1),(91,1),(94,1),(111,1),(131,1)}
        79:{1,3,4,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(131,1)}
        80:{1,2,5,7}:{(63,1),(66,1),(69,1),(95,1)}
        81:{1,2,5,7}:{(64,1),(67,1),(70,1),(96,1)}
        82:{3,5,7}:{(65,1),(68,1),(71,1),(97,1)}
        83:{2,3,5,6}:{(66,1),(68,1),(73,1),(95,1),(99,1),(108,1)}
        84:{1,3,5,6}:{(67,1),(68,1),(74,1),(96,1),(100,1),(109,1)}
        85:{3,4,6}:{(68,1),(97,1),(99,1),(100,1),(101,1)}
        86:{2,3,6,7}:{(69,1),(71,1),(73,1),(95,1)}
        87:{1,3,6,7}:{(70,1),(71,1),(74,1),(96,1)}
        88:{3,4,6,7}:{(71,1),(72,1),(75,1),(97,1),(105,1),(125,1)}
        89:{1,2,4,5,7}:{(72,1),(76,1),(105,1),(106,1),(123,1),(124,1),(128,1)}
        90:{1,2,3,6}:{(73,1),(74,1),(77,1),(107,1)}
        91:{2,3,4,6}:{(73,1),(75,1),(78,1),(99,1),(107,1),(108,1),(126,1)}
        92:{1,3,4,6}:{(74,1),(75,1),(79,1),(100,1),(107,1),(109,1),(126,1)}
        93:{3,5}:{(75,1),(76,1)}
        94:{1,2,4,7}:{(77,1),(78,1),(79,1),(107,1)}
        95:{2,3,5,7}:{(80,1),(82,1),(83,1),(86,1),(111,1)}
        96:{1,3,5,7}:{(81,1),(82,1),(84,1),(87,1),(112,1)}
        97:{3,4,7}:{(82,1),(85,1),(111,1),(112,1)}
        98:{1,2,3,5,6}:{(83,1),(84,1),(90,1),(110,1),(114,1),(121,1),(135,1),(136,1),(139,1)}
        99:{2,4,6}:{(83,1),(85,1),(111,1),(115,1)}
       100:{1,4,6}:{(84,1),(85,1),(112,1),(116,1)}
       101:{3,4,5}:{(85,1),(93,1),(115,1),(116,1),(135,1)}
       102:{1,2,3,6,7}:{(86,1),(87,1),(90,1),(110,1),(117,1),(139,1)}
       103:{2,3,4,6,7}:{(86,1),(88,1),(91,1),(111,1),(117,1),(118,1),(131,1),(133,1),(139,1)}
       104:{1,3,4,6,7}:{(87,1),(88,1),(92,1),(112,1),(117,1),(119,1),(131,1),(134,1),(139,1)}
       105:{3,5,7}:{(88,1),(89,1),(93,1),(120,1)}
       106:{1,2,4,5,6}:{(89,1),(120,1),(133,1),(134,1),(136,1)}
       107:{1,2,4,6}:{(90,1),(91,1),(92,1),(94,1),(121,1)}
       108:{2,3,5}:{(91,1),(93,1),(115,1),(121,1),(135,1)}
       109:{1,3,5}:{(92,1),(93,1),(116,1),(121,1),(135,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(102,1),(122,1),(128,1),(137,1)}
       111:{2,4,7}:{(95,1),(97,1),(99,1)}
       112:{1,4,7}:{(96,1),(97,1),(100,1)}
       113:{3,4,5,7}:{(97,1),(101,1),(105,1),(123,1),(124,1),(125,1),(137,1)}
       114:{1,2,4,6}:{(98,1),(99,1),(100,1),(122,1),(126,1),(127,1)}
       115:{2,4,5}:{(99,1),(101,1),(108,1)}
       116:{1,4,5}:{(100,1),(101,1),(109,1)}
       117:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(107,1),(122,1),(128,1),(138,1)}
       118:{2,3,5,7}:{(103,1),(105,1),(108,1),(123,1),(128,1),(129,1),(137,1)}
       119:{1,3,5,7}:{(104,1),(105,1),(109,1),(124,1),(128,1),(130,1),(137,1)}
       120:{3,5,6}:{(105,1),(106,1),(125,1)}
       121:{1,2,5}:{(107,1),(108,1),(109,1)}
       122:{1,2,4,7}:{(110,1),(111,1),(112,1),(114,1),(131,1)}
       123:{2,4,5,7}:{(111,1),(113,1),(115,1),(118,1),(133,1)}
       124:{1,4,5,7}:{(112,1),(113,1),(116,1),(119,1),(134,1)}
       125:{3,4,6}:{(113,1),(120,1),(133,1),(134,1),(139,1)}
       126:{3,4,6}:{(114,1),(131,1),(135,1),(139,1)}
       127:{1,2,4,5}:{(114,1),(115,1),(116,1),(121,1),(135,1)}
       128:{1,2,5,7}:{(117,1),(118,1),(119,1),(121,1),(136,1)}
       129:{2,3,5,6}:{(118,1),(120,1),(133,1),(136,1),(139,1)}
       130:{1,3,5,6}:{(119,1),(120,1),(134,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(126,1),(137,1)}
       132:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(127,1),(128,1),(137,1),(138,1)}
       133:{2,4,6}:{(123,1),(125,1),(129,1)}
       134:{1,4,6}:{(124,1),(125,1),(130,1)}
       135:{3,5}:{(126,1),(127,1)}
       136:{1,2,5,6}:{(128,1),(129,1),(130,1),(138,1)}
       137:{3,5,7}:{(131,1),(132,1),(135,1),(139,1)}
       138:{1,2,4,6}:{(132,1),(133,1),(134,1),(136,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1095 :   0:{1,2,3,6,7}:{(2,1),(3,1),(45,1),(82,1),(83,1),(84,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(13,1),(14,1),(17,1),(45,1),(47,1),(48,1),(49,1),(82,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(23,1),(26,1),(63,1),(68,1),(69,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(27,1),(93,1),(94,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(60,1),(61,1)}
         5:{3,4,6,7}:{(3,1),(10,1),(11,1),(36,1),(45,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(11,1),(80,1),(81,1)}
         7:{1,2,5,7}:{(3,1),(10,1),(13,1),(100,1),(101,1)}
         8:{3,4,6}:{(4,1),(11,1),(17,1),(45,1)}
         9:{1,2,4,5}:{(4,1),(17,1),(39,1),(40,1),(47,1)}
        10:{3,5,7}:{(5,1),(7,1),(19,1),(20,1)}
        11:{3,4,7}:{(6,1),(8,1),(26,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(19,1),(26,1),(27,1),(54,1),(55,1),(63,1)}
        13:{1,2,5,6}:{(7,1),(20,1),(27,1),(88,1),(89,1)}
        14:{1,2,3,6}:{(21,1),(23,1),(29,1),(95,1)}
        15:{2,3,4,6}:{(8,1),(24,1),(29,1),(30,1),(58,1),(60,1),(64,1),(86,1),(95,1)}
        16:{1,3,4,6}:{(8,1),(25,1),(29,1),(31,1),(58,1),(61,1),(65,1),(86,1),(95,1)}
        17:{3,5}:{(8,1),(9,1)}
        18:{1,2,4,5,6}:{(9,1),(27,1),(32,1),(33,1),(52,1),(60,1),(61,1),(67,1),(88,1),(89,1)}
        19:{4,5,7}:{(10,1),(36,1)}
        20:{3,5,6}:{(10,1),(13,1),(36,1),(45,1)}
        21:{1,2,3,5}:{(14,1),(38,1),(47,1),(78,1)}
        22:{3,4,5}:{(17,1),(39,1),(40,1),(41,1),(78,1)}
        23:{1,2,3,7}:{(14,1),(42,1),(104,1)}
        24:{2,3,4,7}:{(11,1),(15,1),(42,1),(43,1),(73,1),(80,1),(104,1)}
        25:{1,3,4,7}:{(11,1),(16,1),(42,1),(44,1),(73,1),(81,1),(104,1)}
        26:{3,5,7}:{(11,1),(12,1),(17,1),(45,1)}
        27:{1,2,4,6}:{(12,1),(13,1),(36,1),(45,1),(75,1),(76,1),(82,1)}
        28:{1,2,5,6,7}:{(13,1),(37,1),(46,1),(100,1),(101,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(16,1),(38,1),(42,1),(47,1),(82,1)}
        30:{2,3,5}:{(15,1),(17,1),(39,1),(47,1),(78,1),(98,1)}
        31:{1,3,5}:{(16,1),(17,1),(40,1),(47,1),(78,1),(98,1)}
        32:{3,5,6}:{(17,1),(18,1),(41,1),(45,1),(50,1)}
        33:{1,2,4,5,7}:{(18,1),(46,1),(50,1),(72,1),(80,1),(81,1),(85,1),(100,1),(101,1)}
        34:{1,2,3,5,7}:{(21,1),(23,1),(51,1),(53,1),(63,1),(87,1),(91,1)}
        35:{3,4,5,7}:{(19,1),(22,1),(26,1),(54,1),(55,1),(56,1),(62,1),(90,1),(91,1),(105,1),(111,1)}
        36:{4,6}:{(19,1),(20,1)}
        37:{3,5,6,7}:{(20,1),(28,1),(57,1),(66,1),(90,1)}
        38:{1,2,4}:{(21,1),(58,1)}
        39:{2,4,5}:{(22,1),(30,1),(60,1),(105,1)}
        40:{1,4,5}:{(22,1),(31,1),(61,1),(105,1)}
        41:{3,4,6}:{(22,1),(32,1),(60,1),(61,1),(62,1),(95,1)}
        42:{1,2,4,7}:{(23,1),(24,1),(25,1),(29,1),(63,1)}
        43:{2,3,5,7}:{(24,1),(26,1),(30,1),(54,1),(63,1),(64,1),(91,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(31,1),(55,1),(63,1),(65,1),(91,1)}
        45:{3,6}:{(26,1),(27,1)}
        46:{1,2,4,6,7}:{(27,1),(28,1),(33,1),(57,1),(66,1),(93,1),(94,1),(97,1)}
        47:{1,2,5}:{(29,1),(30,1),(31,1)}
        48:{2,3,5,6}:{(30,1),(32,1),(60,1),(64,1),(67,1),(68,1),(88,1),(95,1),(106,1)}
        49:{1,3,5,6}:{(31,1),(32,1),(61,1),(65,1),(67,1),(69,1),(89,1),(95,1),(106,1)}
        50:{3,5,7}:{(32,1),(33,1),(62,1),(66,1)}
        51:{1,2,3,6}:{(34,1),(70,1),(82,1),(102,1)}
        52:{4,5,6}:{(36,1),(71,1),(72,1),(109,1)}
        53:{1,2,4,7}:{(34,1),(38,1),(70,1),(73,1)}
        54:{2,4,5,7}:{(35,1),(39,1),(43,1),(75,1),(80,1),(100,1)}
        55:{1,4,5,7}:{(35,1),(40,1),(44,1),(76,1),(81,1),(101,1)}
        56:{3,4,6}:{(35,1),(36,1),(45,1),(71,1),(75,1),(76,1),(102,1),(109,1)}
        57:{4,6,7}:{(36,1),(37,1),(72,1)}
        58:{3,4}:{(38,1),(78,1)}
        59:{1,2,4,5}:{(38,1),(39,1),(40,1),(47,1),(78,1),(79,1)}
        60:{2,4,6}:{(39,1),(41,1),(48,1),(80,1),(109,1)}
        61:{1,4,6}:{(40,1),(41,1),(49,1),(81,1),(109,1)}
        62:{3,4,7}:{(41,1),(50,1),(80,1),(81,1),(104,1)}
        63:{1,2,5,7}:{(42,1),(43,1),(44,1),(47,1),(82,1)}
        64:{2,3,6}:{(43,1),(45,1),(75,1),(82,1),(102,1)}
        65:{1,3,6}:{(44,1),(45,1),(76,1),(82,1),(102,1)}
        66:{3,6,7}:{(45,1),(46,1),(50,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(49,1),(79,1),(82,1),(85,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(80,1),(83,1),(85,1),(100,1),(104,1),(110,1)}
        69:{1,3,5,7}:{(49,1),(50,1),(81,1),(84,1),(85,1),(101,1),(104,1),(110,1)}
        70:{1,2,4,6}:{(51,1),(53,1),(86,1),(87,1)}
        71:{3,5,6}:{(52,1),(56,1),(88,1),(89,1),(90,1)}
        72:{4,5,7}:{(52,1),(57,1),(90,1),(111,1)}
        73:{3,4,7}:{(53,1),(58,1),(86,1),(91,1),(111,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(59,1),(63,1),(87,1),(91,1),(92,1),(96,1),(105,1),(107,1),(111,1)}
        75:{2,4,6}:{(54,1),(56,1),(64,1),(88,1)}
        76:{1,4,6}:{(55,1),(56,1),(65,1),(89,1)}
        77:{3,4,6,7}:{(56,1),(57,1),(62,1),(66,1),(90,1),(93,1),(94,1),(108,1),(111,1)}
        78:{3,5}:{(58,1),(59,1),(95,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(67,1),(95,1),(96,1)}
        80:{2,4,7}:{(60,1),(62,1),(68,1),(111,1)}
        81:{1,4,7}:{(61,1),(62,1),(69,1),(111,1)}
        82:{1,2,6}:{(63,1),(64,1),(65,1)}
        83:{2,3,6,7}:{(64,1),(66,1),(68,1),(93,1),(97,1),(108,1)}
        84:{1,3,6,7}:{(65,1),(66,1),(69,1),(94,1),(97,1),(108,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(96,1),(97,1)}
        86:{3,4,6}:{(70,1),(73,1),(98,1),(102,1),(109,1)}
        87:{1,2,5}:{(70,1),(98,1)}
        88:{2,5,6}:{(71,1),(75,1),(100,1)}
        89:{1,5,6}:{(71,1),(76,1),(101,1)}
        90:{3,5,7}:{(71,1),(72,1),(77,1),(100,1),(101,1)}
        91:{3,5,7}:{(73,1),(74,1),(78,1),(98,1),(102,1),(104,1)}
        92:{1,2,4,6}:{(74,1),(75,1),(76,1),(82,1),(99,1),(102,1),(109,1)}
        93:{2,4,6,7}:{(75,1),(77,1),(80,1),(83,1),(100,1)}
        94:{1,4,6,7}:{(76,1),(77,1),(81,1),(84,1),(101,1)}
        95:{3,6}:{(78,1),(79,1),(104,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(85,1),(104,1)}
        97:{1,2,6,7}:{(82,1),(83,1),(84,1),(85,1)}
        98:{3,5}:{(86,1),(87,1),(105,1)}
        99:{1,2,5,6}:{(87,1),(88,1),(89,1),(92,1),(106,1),(107,1)}
       100:{2,5,7}:{(88,1),(90,1),(93,1)}
       101:{1,5,7}:{(89,1),(90,1),(94,1)}
       102:{3,6}:{(91,1),(92,1)}
       103:{1,2,4,6,7}:{(92,1),(93,1),(94,1),(96,1),(97,1),(107,1),(108,1),(111,1)}
       104:{3,7}:{(95,1),(96,1)}
       105:{4,5}:{(98,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(102,1),(109,1),(110,1)}
       107:{1,2,5,7}:{(99,1),(100,1),(101,1),(103,1),(110,1)}
       108:{3,6,7}:{(102,1),(103,1),(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1096 :   0:{1,2,4,5,6}:{(1,1),(2,1),(13,1),(14,1),(16,1),(38,1),(77,1),(78,1),(79,1),(80,1),(98,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(4,1),(7,1),(57,1),(90,1),(101,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(30,1),(31,1),(33,1),(69,1),(70,1),(71,1)}
         3:{1,3,4,6}:{(10,1),(11,1),(12,1),(13,1),(44,1),(48,1),(75,1),(96,1)}
         4:{3,4,6}:{(1,1),(9,1),(13,1),(14,1),(15,1),(48,1),(75,1)}
         5:{1,3,5,6}:{(1,1),(10,1),(13,1),(16,1),(17,1),(44,1),(48,1),(72,1),(78,1),(95,1),(97,1),(103,1)}
         6:{2,3,5,6}:{(1,1),(14,1),(16,1),(18,1),(37,1),(42,1),(48,1),(74,1),(79,1),(82,1),(97,1),(98,1)}
         7:{3,5,7}:{(1,1),(2,1),(15,1),(19,1)}
         8:{1,2,4,6,7}:{(2,1),(19,1),(20,1),(50,1),(51,1),(53,1),(54,1),(77,1)}
         9:{3,4,5}:{(4,1),(21,1),(22,1),(57,1),(101,1)}
        10:{1,3,5}:{(3,1),(21,1),(24,1),(57,1),(101,1)}
        11:{1,2,4,6}:{(3,1),(24,1),(26,1),(27,1),(62,1),(64,1),(92,1)}
        12:{1,3,4,7}:{(3,1),(25,1),(27,1),(30,1),(67,1),(89,1)}
        13:{1,4,6}:{(4,1),(5,1),(21,1),(30,1),(86,1),(102,1)}
        14:{2,4,6}:{(4,1),(6,1),(22,1),(31,1),(62,1),(102,1)}
        15:{3,4,7}:{(4,1),(7,1),(30,1),(31,1),(67,1)}
        16:{1,2,5,6}:{(5,1),(6,1),(24,1),(29,1),(33,1),(55,1),(64,1),(88,1)}
        17:{1,3,5,7}:{(5,1),(7,1),(30,1),(33,1),(34,1),(67,1),(69,1),(93,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(31,1),(33,1),(35,1),(67,1),(70,1),(93,1)}
        19:{3,6,7}:{(7,1),(8,1),(90,1)}
        20:{1,2,5,6,7}:{(8,1),(36,1),(69,1),(70,1),(91,1)}
        21:{1,4,5}:{(9,1),(10,1),(13,1),(103,1),(104,1)}
        22:{2,4,5}:{(9,1),(14,1),(37,1),(98,1),(104,1)}
        23:{3,4,5,7}:{(9,1),(15,1),(39,1),(40,1),(41,1),(52,1),(76,1),(99,1),(104,1)}
        24:{1,2,5}:{(10,1),(11,1),(42,1),(98,1)}
        25:{1,3,5,7}:{(10,1),(12,1),(39,1),(43,1),(44,1),(76,1)}
        26:{2,3,6}:{(11,1),(42,1),(45,1),(48,1)}
        27:{1,2,4,7}:{(11,1),(12,1),(43,1),(45,1),(81,1)}
        28:{2,3,4,6}:{(14,1),(37,1),(46,1),(47,1),(48,1),(74,1),(75,1),(96,1)}
        29:{1,2,4,6}:{(13,1),(14,1),(16,1),(38,1),(48,1),(49,1)}
        30:{1,4,7}:{(13,1),(15,1),(17,1),(99,1)}
        31:{2,4,7}:{(14,1),(15,1),(18,1),(99,1)}
        32:{3,4,6,7}:{(15,1),(19,1),(41,1),(50,1),(51,1),(52,1),(54,1),(84,1),(96,1),(99,1)}
        33:{1,2,5,7}:{(16,1),(17,1),(18,1),(49,1),(53,1)}
        34:{1,3,6,7}:{(17,1),(19,1),(44,1),(50,1),(53,1),(84,1),(95,1)}
        35:{2,3,6,7}:{(18,1),(19,1),(51,1),(53,1),(74,1),(82,1),(84,1)}
        36:{3,5,6,7}:{(19,1),(20,1),(52,1),(54,1),(97,1)}
        37:{2,3,5}:{(22,1),(28,1),(55,1),(57,1),(101,1)}
        38:{1,2,4,5}:{(21,1),(22,1),(24,1),(29,1),(55,1),(57,1),(62,1),(86,1)}
        39:{1,4,5,7}:{(21,1),(23,1),(25,1),(30,1),(59,1),(69,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(31,1),(56,1),(60,1),(70,1)}
        41:{3,4,6}:{(23,1),(59,1),(60,1),(61,1),(90,1),(102,1)}
        42:{2,3,5}:{(24,1),(26,1),(57,1),(62,1)}
        43:{1,2,5,7}:{(24,1),(25,1),(27,1),(63,1),(64,1)}
        44:{1,3,6}:{(25,1),(59,1),(64,1),(90,1)}
        45:{2,3,7}:{(26,1),(27,1),(67,1)}
        46:{1,2,4,6}:{(28,1),(55,1),(65,1),(66,1),(86,1),(88,1),(100,1)}
        47:{2,3,4,7}:{(28,1),(31,1),(56,1),(66,1),(67,1),(89,1)}
        48:{3,6}:{(29,1),(57,1),(67,1)}
        49:{1,2,4,7}:{(29,1),(30,1),(31,1),(33,1),(67,1)}
        50:{1,4,6,7}:{(30,1),(32,1),(34,1),(59,1),(69,1),(100,1)}
        51:{2,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1),(92,1)}
        52:{3,5,7}:{(32,1),(61,1),(69,1),(70,1),(71,1),(101,1)}
        53:{1,2,6,7}:{(33,1),(34,1),(35,1),(64,1),(88,1)}
        54:{4,6,7}:{(36,1),(71,1),(102,1)}
        55:{1,2,5}:{(37,1),(46,1),(72,1),(103,1)}
        56:{2,3,5,7}:{(37,1),(40,1),(47,1),(73,1),(74,1),(76,1)}
        57:{3,5}:{(38,1),(48,1),(75,1)}
        58:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(49,1),(73,1),(76,1),(77,1),(81,1),(85,1),(94,1),(98,1),(99,1),(103,1),(104,1)}
        59:{1,4,6}:{(39,1),(41,1),(44,1),(78,1)}
        60:{2,4,6}:{(40,1),(41,1),(74,1),(79,1)}
        61:{3,5,6}:{(41,1),(52,1),(78,1),(79,1),(80,1)}
        62:{2,4}:{(42,1),(75,1)}
        63:{2,3,5,7}:{(42,1),(43,1),(45,1),(76,1),(81,1),(82,1),(98,1)}
        64:{1,2,6}:{(43,1),(44,1),(82,1)}
        65:{1,3,6}:{(46,1),(48,1),(72,1),(83,1)}
        66:{1,2,4,7}:{(46,1),(47,1),(73,1),(83,1),(94,1)}
        67:{3,7}:{(48,1),(49,1)}
        68:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(53,1),(77,1),(84,1),(85,1),(99,1)}
        69:{1,5,7}:{(50,1),(52,1),(78,1),(103,1)}
        70:{2,5,7}:{(51,1),(52,1),(79,1),(98,1)}
        71:{4,5,7}:{(52,1),(54,1),(80,1),(99,1),(104,1)}
        72:{1,3,5}:{(55,1),(57,1),(65,1),(86,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(66,1),(87,1),(88,1)}
        74:{2,3,6}:{(56,1),(60,1),(88,1),(90,1)}
        75:{3,4}:{(57,1),(62,1),(86,1)}
        76:{3,5,7}:{(57,1),(58,1),(67,1),(89,1),(90,1),(101,1)}
        77:{1,2,4,6}:{(58,1),(59,1),(60,1),(64,1),(88,1),(90,1),(91,1),(92,1),(100,1),(102,1)}
        78:{1,5,6}:{(59,1),(61,1),(69,1)}
        79:{2,5,6}:{(60,1),(61,1),(70,1)}
        80:{4,5,6}:{(61,1),(71,1),(102,1)}
        81:{2,4,7}:{(62,1),(63,1),(89,1),(92,1)}
        82:{2,3,6}:{(63,1),(64,1),(90,1),(92,1)}
        83:{1,3,7}:{(65,1),(66,1),(67,1)}
        84:{3,6,7}:{(67,1),(68,1),(90,1),(93,1)}
        85:{1,2,5,7}:{(68,1),(69,1),(70,1),(91,1),(93,1)}
        86:{1,4}:{(72,1),(75,1)}
        87:{1,3,5,7}:{(72,1),(73,1),(76,1),(83,1),(94,1),(95,1),(103,1)}
        88:{1,2,6}:{(73,1),(74,1),(95,1)}
        89:{3,4,7}:{(75,1),(76,1),(81,1),(94,1),(96,1),(99,1)}
        90:{3,6}:{(76,1),(77,1)}
        91:{1,2,5,6}:{(77,1),(78,1),(79,1),(85,1),(97,1),(98,1),(103,1)}
        92:{2,4,6}:{(81,1),(82,1),(96,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(97,1),(99,1)}
        94:{1,4,7}:{(86,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(87,1),(88,1),(90,1),(100,1)}
        96:{3,4,6}:{(89,1),(90,1),(92,1),(100,1),(101,1),(102,1)}
        97:{3,5,6}:{(90,1),(91,1),(93,1),(101,1),(102,1)}
        98:{2,5}:{(92,1),(101,1)}
        99:{4,7}:{(93,1),(102,1)}
       100:{1,4,6}:{(94,1),(95,1),(96,1),(103,1)}
       101:{3,5}:{(96,1),(98,1),(103,1),(104,1)}
       102:{4,6}:{(97,1),(99,1),(104,1)}
       103:{1,5}:{(100,1),(101,1)}
       104:{4,5}:{(101,1),(102,1)}

1097 :   0:{1,4,5,6}:{(3,1),(4,1),(25,1),(32,1),(82,1)}
         1:{1,3,4,6}:{(6,1),(7,1),(8,1),(25,1),(37,1),(72,1),(86,1),(120,1),(137,1)}
         2:{1,5,6,7}:{(9,1),(11,1),(90,1),(94,1)}
         3:{1,4,5,7}:{(0,1),(11,1),(12,1),(43,1),(45,1),(94,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(14,1)}
         5:{3,4,5}:{(10,1),(16,1),(17,1),(60,1)}
         6:{1,3,5}:{(1,1),(16,1),(19,1),(60,1),(144,1),(159,1)}
         7:{1,3,4,7}:{(1,1),(18,1),(20,1),(45,1),(97,1),(113,1),(143,1),(184,1)}
         8:{1,2,4,6}:{(1,1),(19,1),(20,1),(21,1),(61,1),(63,1),(114,1)}
         9:{3,5,6,7}:{(2,1),(22,1),(23,1),(27,1),(65,1),(68,1)}
        10:{3,4,6}:{(4,1),(5,1),(24,1),(25,1),(26,1),(72,1)}
        11:{1,4,6,7}:{(2,1),(3,1),(23,1),(27,1)}
        12:{3,5,7}:{(3,1),(4,1),(24,1),(27,1),(29,1)}
        13:{1,3,5,6}:{(4,1),(6,1),(25,1),(28,1),(30,1),(37,1),(72,1),(82,1),(136,1)}
        14:{2,5,6}:{(4,1),(26,1),(29,1)}
        15:{3,4,5,7}:{(5,1),(24,1),(33,1),(34,1),(35,1),(68,1),(85,1),(115,1),(127,1),(165,1),(176,1)}
        16:{1,4,5}:{(5,1),(6,1),(25,1),(176,1)}
        17:{2,4,5}:{(5,1),(26,1),(31,1)}
        18:{1,3,5,7}:{(6,1),(7,1),(34,1),(37,1),(38,1),(85,1),(160,1),(164,1),(169,1)}
        19:{1,2,5}:{(6,1),(8,1),(39,1),(138,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(38,1),(40,1),(88,1),(196,1)}
        21:{2,3,6}:{(8,1),(39,1),(40,1),(72,1)}
        22:{2,5,6,7}:{(9,1),(41,1),(49,1),(95,1)}
        23:{4,6,7}:{(9,1),(43,1)}
        24:{3,4,7}:{(10,1),(12,1),(45,1),(46,1),(97,1)}
        25:{1,4,6}:{(10,1),(13,1),(16,1),(45,1),(158,1)}
        26:{2,4,6}:{(10,1),(14,1),(17,1),(42,1),(46,1)}
        27:{3,6,7}:{(11,1),(12,1),(49,1)}
        28:{1,3,5,7}:{(12,1),(13,1),(45,1),(48,1),(50,1),(94,1),(97,1),(145,1)}
        29:{2,5,7}:{(12,1),(14,1),(46,1),(49,1)}
        30:{1,2,5,6}:{(13,1),(14,1),(19,1),(47,1),(50,1),(51,1),(61,1),(144,1),(181,1)}
        31:{2,3,5}:{(17,1),(42,1),(52,1),(55,1),(60,1)}
        32:{4,5,6}:{(43,1),(56,1),(158,1)}
        33:{3,4,6}:{(15,1),(56,1),(57,1),(58,1),(112,1),(158,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(18,1),(45,1),(57,1),(94,1),(139,1),(150,1)}
        35:{2,4,5,7}:{(15,1),(17,1),(46,1),(54,1),(58,1),(95,1),(140,1),(151,1)}
        36:{1,2,4,5}:{(16,1),(17,1),(19,1),(47,1),(55,1),(60,1),(63,1),(101,1),(110,1),(144,1)}
        37:{1,3,6}:{(18,1),(57,1),(61,1),(112,1),(181,1)}
        38:{1,2,5,7}:{(18,1),(19,1),(20,1),(61,1),(62,1),(177,1),(185,1)}
        39:{2,3,5}:{(19,1),(21,1),(60,1),(63,1)}
        40:{2,3,7}:{(20,1),(21,1),(97,1),(204,1)}
        41:{2,4,6,7}:{(22,1),(23,1),(64,1),(65,1)}
        42:{2,3,6}:{(26,1),(31,1),(66,1),(67,1),(72,1)}
        43:{4,5,7}:{(23,1),(32,1),(68,1),(165,1)}
        44:{3,4,6,7}:{(23,1),(24,1),(27,1),(33,1),(65,1),(68,1),(69,1),(70,1),(115,1),(122,1),(165,1)}
        45:{1,4,7}:{(24,1),(25,1),(28,1),(165,1)}
        46:{2,4,7}:{(24,1),(26,1),(29,1),(66,1)}
        47:{1,2,4,6}:{(25,1),(26,1),(30,1),(36,1),(67,1),(71,1),(72,1),(75,1),(120,1)}
        48:{1,3,6,7}:{(27,1),(28,1),(37,1),(69,1),(73,1),(122,1),(160,1)}
        49:{2,6,7}:{(27,1),(29,1)}
        50:{1,2,5,7}:{(28,1),(29,1),(30,1),(71,1),(73,1),(74,1),(164,1)}
        51:{2,3,5,6}:{(30,1),(39,1),(72,1),(74,1),(75,1),(87,1),(124,1),(136,1),(138,1),(167,1),(168,1)}
        52:{2,3,4}:{(31,1),(77,1),(86,1)}
        53:{2,4,5,6}:{(32,1),(64,1),(78,1),(83,1),(132,1)}
        54:{2,3,5,7}:{(31,1),(35,1),(66,1),(76,1),(79,1),(80,1),(85,1),(128,1),(207,1)}
        55:{1,2,5}:{(31,1),(67,1),(77,1),(81,1)}
        56:{3,5,6}:{(32,1),(33,1),(68,1),(82,1),(83,1)}
        57:{1,4,6}:{(33,1),(34,1),(37,1),(82,1)}
        58:{2,4,6}:{(33,1),(35,1),(79,1),(83,1)}
        59:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(38,1),(71,1),(80,1),(84,1),(85,1),(88,1),(121,1),(126,1),(135,1),(138,1),(161,1),(164,1),(165,1),(170,1),(175,1),(176,1),(193,1),(207,1)}
        60:{3,5}:{(36,1),(72,1),(86,1)}
        61:{1,2,6}:{(37,1),(38,1),(87,1)}
        62:{2,3,5,7}:{(38,1),(39,1),(40,1),(85,1),(87,1),(88,1),(138,1),(191,1),(197,1),(207,1)}
        63:{2,4}:{(39,1),(86,1)}
        64:{2,4,5,7}:{(41,1),(43,1),(53,1),(89,1),(95,1),(140,1)}
        65:{3,6,7}:{(41,1),(89,1),(90,1)}
        66:{2,3,7}:{(42,1),(46,1),(92,1),(97,1)}
        67:{1,2,6}:{(42,1),(55,1),(92,1),(93,1)}
        68:{3,5,7}:{(43,1),(44,1),(56,1),(94,1),(95,1)}
        69:{1,4,6,7}:{(44,1),(45,1),(48,1),(57,1),(90,1),(94,1),(139,1)}
        70:{2,4,6,7}:{(44,1),(46,1),(49,1),(58,1),(91,1),(95,1),(140,1)}
        71:{1,2,4,7}:{(45,1),(46,1),(47,1),(50,1),(92,1),(97,1),(100,1),(143,1)}
        72:{3,6}:{(47,1),(60,1),(97,1)}
        73:{1,2,6,7}:{(48,1),(49,1),(50,1),(61,1),(99,1),(177,1),(181,1)}
        74:{2,3,5,7}:{(50,1),(51,1),(97,1),(99,1),(100,1),(145,1),(147,1),(148,1)}
        75:{2,4,6}:{(51,1),(63,1),(98,1),(100,1),(101,1),(158,1)}
        76:{2,3,4,7}:{(52,1),(54,1),(102,1),(103,1),(113,1),(140,1),(178,1),(201,1)}
        77:{1,2,4}:{(52,1),(55,1),(104,1),(110,1)}
        78:{3,5,6}:{(53,1),(89,1),(105,1),(106,1)}
        79:{2,3,6}:{(54,1),(58,1),(108,1),(112,1),(209,1)}
        80:{1,2,5,7}:{(54,1),(55,1),(92,1),(103,1),(108,1),(109,1),(152,1)}
        81:{1,3,5}:{(55,1),(60,1),(93,1),(104,1),(110,1),(144,1)}
        82:{1,5,6}:{(56,1),(57,1),(94,1)}
        83:{2,5,6}:{(56,1),(58,1),(95,1)}
        84:{1,2,4,6}:{(57,1),(58,1),(59,1),(61,1),(108,1),(111,1),(112,1),(114,1),(149,1),(157,1),(158,1),(181,1),(203,1),(209,1)}
        85:{3,5,7}:{(59,1),(60,1),(97,1),(112,1),(113,1),(159,1),(178,1),(186,1)}
        86:{3,4}:{(60,1),(63,1),(110,1)}
        87:{2,3,6}:{(61,1),(62,1),(112,1),(114,1),(209,1)}
        88:{2,4,7}:{(62,1),(63,1),(113,1),(114,1),(205,1)}
        89:{3,5,7}:{(64,1),(65,1),(78,1),(115,1),(116,1)}
        90:{1,6,7}:{(65,1),(116,1)}
        91:{2,3,6,7}:{(65,1),(66,1),(70,1),(79,1),(117,1),(118,1),(122,1)}
        92:{1,2,7}:{(66,1),(67,1),(119,1)}
        93:{1,3,6}:{(67,1),(72,1),(81,1),(119,1),(120,1)}
        94:{1,5,7}:{(68,1),(69,1),(82,1)}
        95:{2,5,7}:{(68,1),(70,1),(83,1)}
        96:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(73,1),(84,1),(118,1),(121,1),(122,1),(125,1),(161,1),(163,1),(165,1)}
        97:{3,7}:{(71,1),(72,1)}
        98:{3,4,6}:{(72,1),(75,1),(86,1),(120,1),(123,1),(124,1),(167,1)}
        99:{2,3,6,7}:{(73,1),(74,1),(87,1),(122,1),(125,1),(167,1),(191,1)}
       100:{2,4,7}:{(74,1),(75,1),(123,1),(165,1)}
       101:{2,4,5}:{(75,1),(124,1),(138,1),(176,1)}
       102:{2,3,4,6}:{(76,1),(79,1),(128,1),(129,1),(132,1),(137,1),(173,1),(198,1),(199,1)}
       103:{1,2,4,7}:{(76,1),(77,1),(80,1),(129,1),(130,1),(135,1)}
       104:{1,3}:{(77,1)}
       105:{3,4,6}:{(78,1),(115,1),(127,1),(131,1),(132,1),(173,1)}
       106:{1,5,6}:{(78,1),(116,1),(131,1)}
       107:{2,3,5,6}:{(78,1),(79,1),(83,1),(117,1),(128,1),(132,1),(133,1),(136,1),(173,1)}
       108:{1,2,6}:{(79,1),(80,1),(134,1)}
       109:{1,3,5,7}:{(80,1),(81,1),(85,1),(119,1),(130,1),(134,1),(135,1),(164,1),(171,1),(175,1)}
       110:{1,4}:{(81,1),(86,1)}
       111:{1,2,5,6}:{(82,1),(83,1),(84,1),(121,1),(136,1),(138,1),(168,1),(175,1),(194,1)}
       112:{3,6}:{(84,1),(85,1)}
       113:{3,4,7}:{(85,1),(86,1),(88,1),(135,1),(137,1),(165,1),(198,1)}
       114:{2,4,6}:{(87,1),(88,1),(137,1),(138,1)}
       115:{3,4,7}:{(89,1),(105,1),(139,1),(140,1),(178,1)}
       116:{1,5,7}:{(89,1),(90,1),(106,1),(139,1)}
       117:{2,3,5,7}:{(89,1),(91,1),(95,1),(107,1),(140,1),(141,1),(145,1),(178,1)}
       118:{1,2,6,7}:{(90,1),(91,1),(92,1),(108,1),(141,1),(142,1),(209,1)}
       119:{1,3,7}:{(92,1),(93,1),(97,1),(143,1)}
       120:{1,4,6}:{(93,1),(98,1),(110,1),(143,1),(144,1),(181,1)}
       121:{1,2,5,7}:{(94,1),(95,1),(96,1),(111,1),(145,1),(148,1),(180,1)}
       122:{3,6,7}:{(96,1),(97,1),(112,1),(145,1),(178,1)}
       123:{3,4,7}:{(97,1),(98,1),(100,1),(143,1),(147,1)}
       124:{3,5}:{(98,1),(101,1),(144,1)}
       125:{2,4,6,7}:{(99,1),(100,1),(114,1),(146,1),(148,1),(149,1),(201,1),(209,1)}
       126:{2,4,5,7}:{(100,1),(101,1),(147,1),(148,1),(149,1),(182,1)}
       127:{3,4,5}:{(105,1),(150,1),(151,1),(186,1)}
       128:{2,3,5}:{(102,1),(151,1),(152,1),(159,1),(186,1),(206,1)}
       129:{1,2,4,6}:{(102,1),(103,1),(108,1),(152,1),(153,1),(157,1),(187,1)}
       130:{1,3,7}:{(103,1),(104,1),(153,1),(178,1)}
       131:{1,4,6}:{(105,1),(106,1),(139,1),(150,1),(154,1)}
       132:{2,4,6}:{(105,1),(107,1),(140,1),(151,1),(158,1)}
       133:{1,2,5,6}:{(106,1),(107,1),(108,1),(141,1),(152,1),(155,1),(156,1),(206,1),(209,1)}
       134:{1,3,6}:{(108,1),(109,1),(112,1),(157,1),(181,1)}
       135:{1,4,7}:{(109,1),(110,1),(113,1),(157,1),(187,1)}
       136:{3,5,6}:{(111,1),(112,1),(145,1),(158,1),(159,1)}
       137:{3,4,6}:{(112,1),(113,1),(114,1),(157,1),(158,1),(159,1)}
       138:{2,5}:{(114,1),(159,1)}
       139:{1,4,7}:{(115,1),(116,1),(131,1),(160,1)}
       140:{2,4,7}:{(115,1),(117,1),(132,1),(165,1)}
       141:{1,2,5,7}:{(116,1),(117,1),(118,1),(133,1),(161,1),(162,1),(207,1)}
       142:{1,3,6,7}:{(118,1),(119,1),(122,1),(134,1),(162,1),(163,1),(208,1)}
       143:{1,4,7}:{(119,1),(120,1),(123,1),(164,1)}
       144:{1,5}:{(120,1),(124,1)}
       145:{3,5,7}:{(121,1),(122,1),(136,1),(165,1)}
       146:{3,4,6,7}:{(122,1),(123,1),(125,1),(137,1),(163,1),(165,1),(166,1),(167,1),(192,1),(195,1),(208,1)}
       147:{3,5,7}:{(123,1),(124,1),(126,1),(164,1),(167,1)}
       148:{2,5,7}:{(125,1),(138,1),(166,1),(168,1)}
       149:{2,4,6}:{(126,1),(167,1),(168,1),(195,1)}
       150:{1,4,5}:{(127,1),(131,1),(169,1)}
       151:{2,4,5}:{(127,1),(128,1),(132,1),(176,1)}
       152:{1,2,5}:{(128,1),(129,1),(171,1),(175,1)}
       153:{1,3,6}:{(129,1),(130,1),(171,1),(173,1)}
       154:{1,3,6}:{(131,1),(160,1),(169,1),(172,1),(173,1)}
       155:{1,2,4,6}:{(131,1),(132,1),(133,1),(161,1),(170,1),(172,1),(173,1),(174,1),(199,1)}
       156:{1,3,5,6}:{(133,1),(134,1),(136,1),(162,1),(171,1),(173,1),(174,1),(175,1),(194,1),(200,1),(208,1)}
       157:{1,4,6}:{(134,1),(135,1),(137,1),(175,1)}
       158:{4,6}:{(136,1),(165,1),(176,1)}
       159:{3,5}:{(137,1),(138,1),(175,1),(176,1)}
       160:{1,3,7}:{(139,1),(154,1),(177,1),(178,1)}
       161:{1,2,4,7}:{(139,1),(140,1),(141,1),(155,1),(177,1),(178,1),(179,1),(201,1)}
       162:{1,3,5,7}:{(141,1),(142,1),(145,1),(156,1),(178,1),(179,1),(180,1),(202,1)}
       163:{1,4,6,7}:{(142,1),(143,1),(146,1),(157,1),(179,1),(180,1),(181,1),(203,1)}
       164:{1,5,7}:{(143,1),(144,1),(147,1),(181,1)}
       165:{4,7}:{(145,1),(158,1)}
       166:{3,5,7}:{(146,1),(148,1),(159,1),(180,1),(182,1),(183,1)}
       167:{3,6}:{(147,1),(149,1),(181,1)}
       168:{2,5,6}:{(148,1),(149,1),(183,1),(209,1)}
       169:{1,3,5}:{(150,1),(154,1),(184,1),(185,1),(186,1)}
       170:{1,2,4,5}:{(150,1),(151,1),(152,1),(155,1),(185,1),(186,1),(187,1),(190,1),(205,1),(206,1)}
       171:{1,3,5}:{(152,1),(153,1),(186,1),(187,1)}
       172:{1,2,6}:{(154,1),(177,1),(185,1),(188,1)}
       173:{3,6}:{(155,1),(178,1),(186,1)}
       174:{1,4,6}:{(156,1),(158,1),(179,1),(187,1),(189,1),(190,1)}
       175:{1,5}:{(157,1),(159,1)}
       176:{4,5}:{(158,1),(159,1)}
       177:{1,2,7}:{(160,1),(172,1),(191,1)}
       178:{3,7}:{(161,1),(173,1)}
       179:{1,4,7}:{(162,1),(165,1),(174,1),(192,1)}
       180:{1,5,7}:{(163,1),(166,1),(175,1),(194,1)}
       181:{1,6}:{(164,1),(167,1)}
       182:{4,5,7}:{(165,1),(166,1),(176,1),(195,1)}
       183:{3,5,6}:{(166,1),(167,1),(168,1),(194,1),(195,1),(208,1)}
       184:{1,3,4}:{(169,1),(196,1),(198,1)}
       185:{1,2,5}:{(169,1),(172,1),(196,1),(197,1)}
       186:{3,5}:{(170,1),(173,1),(198,1)}
       187:{1,4}:{(171,1),(198,1)}
       188:{2,3,6}:{(172,1),(173,1),(191,1),(197,1),(199,1)}
       189:{3,4,6}:{(173,1),(174,1),(192,1),(198,1),(199,1),(200,1),(208,1)}
       190:{1,4,5}:{(174,1),(175,1),(176,1),(200,1)}
       191:{2,3,7}:{(177,1),(178,1),(188,1),(201,1)}
       192:{3,4,7}:{(178,1),(179,1),(189,1),(201,1),(202,1)}
       193:{1,4,5,7}:{(179,1),(180,1),(182,1),(190,1),(202,1),(203,1)}
       194:{1,5,6}:{(180,1),(181,1),(183,1),(203,1)}
       195:{4,6}:{(182,1),(183,1)}
       196:{1,2,4}:{(184,1),(185,1),(204,1),(205,1)}
       197:{2,3,5}:{(185,1),(186,1),(188,1),(204,1),(205,1),(206,1)}
       198:{3,4}:{(186,1),(187,1),(205,1)}
       199:{2,4,6}:{(188,1),(189,1),(201,1),(205,1),(206,1),(209,1)}
       200:{3,5}:{(189,1),(190,1),(206,1)}
       201:{2,4,7}:{(191,1),(192,1),(199,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(200,1),(207,1),(208,1)}
       203:{1,4,6}:{(193,1),(194,1),(195,1),(208,1)}
       204:{2,3}:{(196,1)}
       205:{2,4}:{(197,1),(198,1)}
       206:{2,5}:{(199,1),(200,1)}
       207:{2,5,7}:{(201,1),(202,1),(206,1),(209,1)}
       208:{3,6}:{(202,1),(203,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

1098 :   0:{2,3,4,5,7}:{(1,1),(2,1),(9,1),(25,1),(64,1),(77,1),(82,1),(115,1),(121,1),(135,1)}
         1:{1,2,4,5,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(46,1),(53,1),(58,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(59,1),(142,1),(149,1),(162,1)}
         3:{2,3,4,6,7}:{(2,1),(8,1),(9,1),(31,1),(73,1),(77,1),(131,1)}
         4:{1,3,5,7}:{(1,1),(10,1),(11,1),(37,1),(121,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(38,1)}
         6:{2,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(39,1),(64,1),(184,1)}
         7:{1,2,3,5,7}:{(4,1),(14,1),(15,1),(41,1),(46,1)}
         8:{1,2,4,6,7}:{(3,1),(5,1),(17,1),(18,1),(53,1)}
         9:{2,3,5,7}:{(3,1),(6,1),(18,1),(19,1),(54,1),(160,1)}
        10:{1,3,4,7}:{(4,1),(14,1),(21,1),(53,1),(92,1)}
        11:{1,3,6}:{(4,1),(5,1),(149,1)}
        12:{1,2,5,6}:{(5,1),(6,1),(18,1),(22,1),(46,1)}
        13:{2,4,5,6}:{(6,1),(19,1),(24,1),(89,1),(142,1)}
        14:{1,2,4,7}:{(7,1),(10,1),(25,1),(28,1)}
        15:{1,2,3,6}:{(7,1),(11,1),(28,1),(63,1)}
        16:{2,3,5,6,7}:{(9,1),(30,1),(31,1),(71,1),(73,1),(114,1)}
        17:{1,3,6,7}:{(8,1),(11,1),(33,1),(73,1)}
        18:{1,2,5,7}:{(8,1),(9,1),(12,1),(33,1)}
        19:{2,4,5,7}:{(9,1),(13,1),(31,1),(35,1)}
        20:{1,3,4,5,7}:{(10,1),(27,1),(36,1),(37,1),(76,1),(80,1),(118,1),(121,1),(169,1),(170,1)}
        21:{1,3,4,6}:{(10,1),(11,1),(28,1),(37,1),(38,1),(70,1)}
        22:{1,3,5,6}:{(11,1),(12,1),(33,1),(37,1),(38,1),(39,1)}
        23:{1,2,4,5,6}:{(12,1),(13,1),(34,1),(38,1),(39,1),(40,1),(69,1),(84,1),(85,1),(120,1),(129,1),(184,1)}
        24:{3,4,5,6}:{(13,1),(35,1),(39,1),(40,1),(118,1),(168,1)}
        25:{2,3,4,7}:{(14,1),(41,1),(42,1),(92,1),(144,1)}
        26:{1,2,3,6,7}:{(15,1),(17,1),(43,1),(44,1),(87,1),(102,1),(149,1),(195,1),(197,1)}
        27:{1,2,4,5,7}:{(14,1),(20,1),(41,1),(45,1),(46,1),(89,1),(93,1),(144,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(21,1),(42,1),(46,1)}
        29:{1,2,3,5,6}:{(15,1),(22,1),(44,1),(46,1),(47,1),(61,1),(88,1),(90,1),(95,1),(149,1),(154,1),(156,1),(157,1),(197,1)}
        30:{1,2,5,6,7}:{(16,1),(18,1),(49,1),(50,1),(90,1),(98,1),(160,1)}
        31:{2,4,6,7}:{(16,1),(19,1),(51,1),(142,1)}
        32:{1,3,4,6,7}:{(17,1),(21,1),(43,1),(52,1),(53,1),(92,1),(100,1),(104,1),(149,1)}
        33:{1,3,5,7}:{(17,1),(18,1),(22,1),(53,1),(54,1)}
        34:{1,2,4,5,7}:{(18,1),(19,1),(23,1),(50,1),(53,1),(54,1),(55,1),(99,1),(107,1),(108,1),(160,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(51,1),(54,1),(55,1)}
        36:{1,3,4,6}:{(20,1),(45,1),(57,1),(104,1),(145,1),(149,1),(190,1)}
        37:{1,3,5}:{(21,1),(46,1),(58,1),(95,1)}
        38:{1,4,6}:{(22,1),(53,1),(58,1),(59,1)}
        39:{3,5,6}:{(23,1),(54,1),(59,1),(95,1),(149,1)}
        40:{1,4,5,6}:{(24,1),(55,1),(60,1),(146,1),(190,1)}
        41:{2,3,5,7}:{(25,1),(27,1),(63,1),(64,1),(121,1)}
        42:{2,3,4,6}:{(25,1),(28,1),(63,1),(64,1),(70,1),(117,1)}
        43:{1,2,4,6,7}:{(26,1),(28,1),(32,1),(62,1),(65,1),(66,1),(120,1),(131,1),(203,1)}
        44:{1,2,3,5,7}:{(26,1),(29,1),(33,1),(65,1),(66,1),(79,1),(116,1),(121,1),(177,1),(178,1),(179,1)}
        45:{1,2,4,6}:{(27,1),(36,1),(63,1),(68,1),(117,1)}
        46:{1,2,5}:{(28,1),(37,1),(64,1)}
        47:{1,2,4,6}:{(29,1),(38,1),(66,1),(69,1),(70,1),(84,1),(117,1),(171,1)}
        48:{2,4,5,6,7}:{(31,1),(71,1),(166,1)}
        49:{1,3,5,6,7}:{(30,1),(33,1),(72,1),(73,1),(75,1),(130,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(34,1),(72,1),(73,1),(74,1),(120,1),(131,1),(132,1)}
        51:{3,4,6,7}:{(31,1),(35,1),(71,1),(73,1),(74,1),(168,1)}
        52:{1,3,5,7}:{(32,1),(37,1),(65,1),(75,1),(76,1),(121,1),(130,1)}
        53:{1,4,7}:{(33,1),(38,1),(77,1)}
        54:{3,5,7}:{(34,1),(39,1),(73,1),(77,1)}
        55:{1,4,5,7}:{(35,1),(40,1),(74,1),(78,1)}
        56:{1,3,4,6,7}:{(36,1),(67,1),(80,1),(133,1),(170,1),(174,1),(203,1)}
        57:{1,3,5,6}:{(36,1),(37,1),(68,1),(80,1),(81,1),(125,1),(202,1)}
        58:{1,4,5}:{(37,1),(38,1),(82,1)}
        59:{3,4,6}:{(38,1),(39,1),(77,1),(82,1),(84,1)}
        60:{1,3,5,6}:{(39,1),(40,1),(78,1),(83,1),(85,1),(126,1),(175,1)}
        61:{2,3,5,6}:{(39,1),(79,1),(84,1),(85,1),(127,1),(140,1),(176,1),(184,1)}
        62:{2,3,4,6,7}:{(42,1),(43,1),(86,1),(87,1),(92,1),(142,1),(144,1),(149,1),(189,1)}
        63:{2,3,6}:{(41,1),(45,1),(149,1)}
        64:{2,3,5}:{(42,1),(46,1),(89,1),(95,1)}
        65:{1,2,5,7}:{(43,1),(46,1),(52,1),(86,1),(90,1),(160,1),(208,1)}
        66:{1,2,4,7}:{(44,1),(47,1),(53,1),(92,1),(107,1),(144,1),(191,1)}
        67:{1,2,4,6,7}:{(45,1),(56,1),(87,1),(93,1),(144,1)}
        68:{1,2,5,6}:{(45,1),(46,1),(57,1),(88,1),(93,1)}
        69:{1,2,4,5}:{(46,1),(47,1),(58,1),(89,1),(95,1),(112,1),(146,1),(156,1)}
        70:{3,4,6}:{(47,1),(92,1),(95,1),(149,1)}
        71:{3,5,6,7}:{(48,1),(51,1),(98,1),(188,1)}
        72:{1,4,6,7}:{(49,1),(53,1),(99,1),(100,1),(104,1)}
        73:{3,6,7}:{(50,1),(54,1),(149,1)}
        74:{1,4,6,7}:{(51,1),(55,1),(98,1),(101,1),(190,1)}
        75:{1,3,5,6}:{(52,1),(90,1),(104,1),(149,1),(159,1)}
        76:{1,4,5,7}:{(52,1),(53,1),(58,1),(104,1),(105,1)}
        77:{3,4,7}:{(53,1),(54,1),(59,1),(107,1)}
        78:{1,3,5,7}:{(54,1),(55,1),(60,1),(101,1),(106,1),(108,1)}
        79:{2,3,5,7}:{(54,1),(61,1),(102,1),(107,1),(108,1),(160,1),(163,1)}
        80:{1,3,5,7}:{(56,1),(57,1),(93,1),(109,1),(153,1),(208,1)}
        81:{1,4,5,6}:{(57,1),(58,1),(104,1),(109,1),(110,1)}
        82:{3,4,5}:{(58,1),(59,1),(95,1),(112,1)}
        83:{1,3,4,6}:{(59,1),(60,1),(106,1),(111,1),(113,1)}
        84:{2,4,6}:{(59,1),(61,1),(107,1),(112,1)}
        85:{1,2,5,6}:{(60,1),(61,1),(108,1),(113,1),(156,1),(197,1)}
        86:{2,3,5,7}:{(62,1),(64,1),(65,1),(114,1),(115,1),(121,1),(201,1)}
        87:{2,3,6,7}:{(63,1),(67,1),(116,1),(174,1)}
        88:{2,3,5,6}:{(63,1),(64,1),(68,1),(116,1),(117,1),(125,1)}
        89:{2,4,5}:{(64,1),(117,1),(118,1)}
        90:{1,2,5,6}:{(65,1),(75,1),(114,1),(120,1),(184,1),(202,1)}
        91:{1,2,4,5,7}:{(65,1),(66,1),(69,1),(76,1),(115,1),(120,1),(121,1),(135,1),(169,1),(177,1)}
        92:{3,4,7}:{(66,1),(70,1),(121,1)}
        93:{1,2,5,7}:{(67,1),(68,1),(80,1),(116,1)}
        94:{1,2,4,5,6}:{(68,1),(69,1),(81,1),(117,1),(120,1),(124,1),(125,1),(138,1),(166,1),(171,1),(181,1),(202,1)}
        95:{3,5}:{(69,1),(70,1)}
        96:{1,3,4,6}:{(70,1),(122,1),(126,1),(128,1),(171,1),(175,1),(205,1),(206,1)}
        97:{2,3,4,6}:{(70,1),(84,1),(123,1),(127,1),(128,1),(140,1),(176,1),(186,1)}
        98:{1,5,6,7}:{(71,1),(74,1),(202,1)}
        99:{1,4,5,7}:{(72,1),(129,1),(130,1)}
       100:{3,4,6,7}:{(72,1),(73,1),(77,1),(130,1),(131,1),(134,1)}
       101:{1,3,6,7}:{(73,1),(74,1),(78,1),(132,1),(175,1)}
       102:{2,3,6,7}:{(73,1),(79,1),(131,1),(132,1),(176,1)}
       103:{1,3,5,6,7}:{(75,1),(80,1),(119,1),(133,1),(174,1),(183,1)}
       104:{1,4,6}:{(75,1),(76,1),(134,1)}
       105:{3,4,5,7}:{(76,1),(77,1),(82,1),(121,1),(130,1),(134,1),(135,1)}
       106:{1,3,4,7}:{(77,1),(78,1),(83,1),(136,1)}
       107:{2,4,7}:{(77,1),(79,1),(84,1)}
       108:{1,2,5,7}:{(78,1),(79,1),(85,1),(132,1),(136,1)}
       109:{1,4,5,7}:{(80,1),(81,1),(133,1),(137,1)}
       110:{3,4,5,6}:{(81,1),(82,1),(125,1),(134,1),(137,1),(138,1)}
       111:{1,3,4,5}:{(82,1),(83,1),(126,1),(139,1),(206,1)}
       112:{2,4,5}:{(82,1),(84,1),(127,1)}
       113:{1,2,4,6}:{(83,1),(84,1),(85,1),(136,1),(139,1),(140,1)}
       114:{2,3,5,6}:{(86,1),(90,1),(142,1),(149,1),(188,1)}
       115:{2,4,5,7}:{(86,1),(89,1),(142,1),(143,1),(144,1)}
       116:{2,3,5,7}:{(87,1),(88,1),(93,1),(144,1),(153,1)}
       117:{2,4,6}:{(88,1),(89,1),(144,1),(145,1)}
       118:{3,4,5}:{(89,1),(95,1),(145,1),(146,1)}
       119:{1,2,5,6,7}:{(90,1),(93,1),(103,1),(141,1),(148,1),(200,1),(208,1)}
       120:{1,2,4,6}:{(90,1),(91,1),(104,1),(142,1),(149,1),(162,1),(190,1),(197,1)}
       121:{3,5,7}:{(91,1),(92,1),(95,1),(149,1)}
       122:{1,3,4,7}:{(92,1),(96,1),(150,1),(152,1),(191,1),(209,1)}
       123:{2,3,4,7}:{(92,1),(97,1),(107,1),(151,1),(152,1),(163,1)}
       124:{1,2,4,5,7}:{(93,1),(94,1),(109,1),(144,1),(148,1),(153,1),(164,1),(187,1),(191,1),(198,1),(208,1)}
       125:{3,5,6}:{(94,1),(95,1),(145,1),(149,1),(153,1)}
       126:{1,3,5}:{(95,1),(96,1),(146,1),(156,1)}
       127:{2,3,5}:{(95,1),(97,1),(112,1),(156,1)}
       128:{1,2,4,6}:{(96,1),(97,1),(152,1),(156,1),(157,1),(197,1),(199,1)}
       129:{1,4,5,6}:{(99,1),(104,1),(159,1)}
       130:{3,5,7}:{(99,1),(100,1),(159,1),(160,1)}
       131:{2,4,6,7}:{(100,1),(102,1),(107,1),(160,1),(162,1)}
       132:{1,2,6,7}:{(101,1),(102,1),(108,1),(197,1)}
       133:{1,4,6,7}:{(103,1),(104,1),(109,1),(161,1)}
       134:{3,4,6}:{(104,1),(105,1),(149,1),(159,1),(162,1)}
       135:{2,4,5,7}:{(105,1),(107,1),(112,1),(151,1),(160,1),(162,1)}
       136:{1,2,4,7}:{(106,1),(107,1),(108,1),(113,1),(163,1)}
       137:{3,4,5,7}:{(109,1),(110,1),(153,1),(161,1),(164,1)}
       138:{2,4,5,6}:{(110,1),(112,1),(155,1),(162,1),(164,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(113,1),(156,1),(165,1),(199,1)}
       140:{2,3,6}:{(113,1),(163,1),(165,1)}
       141:{2,3,5,6,7}:{(114,1),(116,1),(119,1),(167,1),(174,1),(201,1)}
       142:{2,4,6}:{(114,1),(115,1),(168,1)}
       143:{3,4,5,7}:{(115,1),(118,1),(121,1),(168,1),(169,1),(170,1),(201,1)}
       144:{2,4,7}:{(116,1),(117,1),(170,1)}
       145:{3,4,6}:{(117,1),(118,1),(125,1),(170,1),(171,1)}
       146:{1,4,5}:{(118,1),(126,1),(171,1)}
       147:{2,3,4,5}:{(118,1),(127,1),(172,1),(173,1),(186,1)}
       148:{1,2,4,6,7}:{(119,1),(120,1),(124,1),(133,1),(167,1),(174,1),(185,1),(203,1),(207,1)}
       149:{3,6}:{(120,1),(121,1)}
       150:{1,3,5,7}:{(121,1),(122,1),(126,1),(169,1),(175,1),(177,1)}
       151:{2,3,5,7}:{(121,1),(123,1),(127,1),(135,1),(176,1),(177,1)}
       152:{1,2,4,7}:{(122,1),(123,1),(128,1),(177,1),(178,1)}
       153:{3,5,7}:{(124,1),(125,1),(170,1),(174,1)}
       154:{1,3,5,6}:{(125,1),(126,1),(171,1),(175,1),(179,1),(181,1),(202,1),(205,1)}
       155:{2,3,5,6}:{(125,1),(127,1),(138,1),(172,1),(176,1),(180,1),(181,1)}
       156:{1,2,5}:{(126,1),(127,1),(128,1)}
       157:{1,2,3,6}:{(128,1),(140,1),(178,1),(182,1),(205,1)}
       158:{1,4,5,6,7}:{(129,1),(133,1),(183,1)}
       159:{3,5,6}:{(129,1),(130,1),(134,1),(184,1)}
       160:{2,5,7}:{(130,1),(131,1),(184,1)}
       161:{3,4,6,7}:{(133,1),(134,1),(137,1),(174,1),(183,1),(185,1)}
       162:{2,4,6}:{(134,1),(135,1),(176,1),(184,1)}
       163:{2,3,7}:{(136,1),(140,1)}
       164:{2,4,5,7}:{(137,1),(138,1),(180,1),(185,1)}
       165:{2,3,5}:{(139,1),(140,1),(186,1)}
       166:{2,4,5,6}:{(142,1),(187,1),(188,1)}
       167:{2,4,6,7}:{(141,1),(142,1),(144,1),(187,1),(189,1)}
       168:{3,4,6}:{(142,1),(143,1),(149,1),(188,1),(190,1)}
       169:{1,4,5,7}:{(143,1),(146,1),(150,1),(190,1),(191,1),(208,1)}
       170:{3,4,7}:{(144,1),(145,1),(153,1),(191,1)}
       171:{1,4,6}:{(145,1),(146,1),(154,1),(191,1)}
       172:{2,3,4,6}:{(145,1),(147,1),(155,1),(192,1),(193,1)}
       173:{1,2,4,5}:{(146,1),(147,1),(156,1),(193,1),(194,1),(199,1)}
       174:{3,6,7}:{(148,1),(149,1),(153,1)}
       175:{1,3,6}:{(149,1),(150,1),(190,1),(197,1)}
       176:{2,3,6}:{(149,1),(151,1),(162,1),(197,1)}
       177:{1,2,5,7}:{(150,1),(151,1),(152,1),(156,1),(197,1)}
       178:{1,2,3,7}:{(152,1),(157,1),(163,1),(209,1)}
       179:{1,3,5,7}:{(153,1),(154,1),(191,1),(195,1),(198,1),(208,1),(209,1)}
       180:{2,3,5,7}:{(153,1),(155,1),(164,1),(192,1),(196,1),(198,1)}
       181:{1,2,5,6}:{(154,1),(155,1),(156,1),(193,1),(197,1),(198,1)}
       182:{1,2,3,5}:{(156,1),(157,1),(165,1),(194,1),(199,1)}
       183:{3,5,6,7}:{(158,1),(159,1),(161,1),(200,1)}
       184:{2,5,6}:{(159,1),(160,1),(162,1)}
       185:{2,4,6,7}:{(161,1),(162,1),(164,1),(196,1),(200,1)}
       186:{2,3,4}:{(165,1),(199,1)}
       187:{2,4,5,7}:{(166,1),(167,1),(201,1)}
       188:{3,5,6}:{(166,1),(168,1),(201,1),(202,1)}
       189:{3,4,6,7}:{(167,1),(168,1),(170,1),(174,1),(201,1),(203,1)}
       190:{1,4,6}:{(168,1),(169,1),(175,1),(202,1)}
       191:{1,4,7}:{(170,1),(171,1),(179,1)}
       192:{2,3,4,7}:{(170,1),(172,1),(180,1),(204,1)}
       193:{1,2,4,6}:{(171,1),(172,1),(173,1),(181,1),(204,1),(205,1)}
       194:{1,3,5}:{(173,1),(205,1),(206,1)}
       195:{1,3,6,7}:{(174,1),(175,1),(179,1),(203,1),(207,1)}
       196:{2,3,6,7}:{(174,1),(176,1),(180,1),(185,1),(207,1)}
       197:{1,2,6}:{(175,1),(176,1),(177,1)}
       198:{1,2,5,7}:{(179,1),(180,1),(181,1),(204,1),(207,1)}
       199:{1,2,4}:{(182,1),(186,1),(206,1)}
       200:{2,5,6,7}:{(183,1),(184,1),(185,1)}
       201:{3,5,7}:{(187,1),(188,1),(189,1),(208,1)}
       202:{1,5,6}:{(188,1),(190,1),(208,1)}
       203:{1,4,6,7}:{(189,1),(190,1),(191,1),(195,1),(208,1)}
       204:{1,2,4,7}:{(191,1),(192,1),(193,1),(198,1),(209,1)}
       205:{1,3,6}:{(193,1),(194,1),(209,1)}
       206:{1,3,4}:{(194,1),(199,1)}
       207:{1,2,6,7}:{(195,1),(196,1),(197,1),(198,1)}
       208:{1,5,7}:{(201,1),(202,1),(203,1)}
       209:{1,3,7}:{(204,1),(205,1)}

1099 :   0:{2,3,4,5}:{(1,1),(2,1),(31,1),(76,1),(93,1)}
         1:{2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(67,1)}
         2:{1,2,4,5}:{(0,1),(6,1),(7,1),(18,1),(58,1),(70,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(11,1),(43,1),(128,1),(186,1),(202,1)}
         4:{2,3,5,6}:{(1,1),(11,1),(12,1),(13,1),(43,1),(76,1),(131,1)}
         5:{2,3,4,7}:{(1,1),(12,1),(14,1),(92,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(13,1),(14,1),(15,1),(46,1)}
         7:{1,3,5}:{(2,1),(15,1),(16,1)}
         8:{1,2,3,5}:{(7,1),(17,1),(18,1),(52,1),(58,1)}
         9:{3,4,5,7}:{(3,1),(21,1),(22,1),(23,1),(66,1),(177,1)}
        10:{1,4,5,6}:{(3,1),(19,1),(22,1),(157,1),(207,1)}
        11:{2,4,5,6}:{(3,1),(4,1),(23,1),(100,1),(160,1)}
        12:{2,3,5,7}:{(4,1),(5,1),(23,1),(25,1),(26,1),(66,1)}
        13:{1,2,5,6}:{(4,1),(6,1),(26,1),(27,1),(58,1),(113,1)}
        14:{1,2,4,7}:{(5,1),(6,1),(26,1),(28,1),(69,1)}
        15:{1,3,6}:{(6,1),(7,1),(28,1)}
        16:{1,3,4}:{(7,1),(18,1)}
        17:{1,2,3,6}:{(8,1),(15,1),(34,1),(35,1),(77,1)}
        18:{1,2,4}:{(8,1),(16,1),(31,1)}
        19:{1,3,5,6}:{(10,1),(32,1),(37,1),(38,1),(43,1),(138,1),(194,1)}
        20:{4,5,6,7}:{(39,1),(149,1),(224,1)}
        21:{3,4,6,7}:{(9,1),(39,1),(40,1),(41,1),(91,1),(149,1),(186,1)}
        22:{1,4,5,7}:{(9,1),(10,1),(37,1),(40,1)}
        23:{2,4,5,7}:{(9,1),(11,1),(12,1),(41,1)}
        24:{1,2,4,5,6}:{(10,1),(11,1),(13,1),(38,1),(42,1),(43,1),(46,1),(83,1),(89,1),(143,1),(153,1),(200,1),(202,1)}
        25:{2,3,6,7}:{(12,1),(41,1),(44,1),(91,1),(131,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(14,1),(44,1),(45,1)}
        27:{1,3,5,6}:{(13,1),(15,1),(43,1),(45,1),(46,1),(48,1),(97,1),(153,1)}
        28:{1,3,7}:{(14,1),(15,1)}
        29:{1,3,4,6}:{(15,1),(16,1),(35,1),(46,1),(47,1),(48,1),(80,1),(97,1)}
        30:{1,3,4,5}:{(16,1),(36,1),(48,1),(49,1),(128,1)}
        31:{2,3,4}:{(18,1),(52,1)}
        32:{1,3,4,6}:{(19,1),(50,1),(53,1),(54,1),(67,1)}
        33:{1,2,3,5,6}:{(17,1),(27,1),(55,1),(56,1),(58,1),(62,1),(102,1),(104,1),(109,1),(113,1),(164,1),(168,1),(170,1),(172,1),(212,1)}
        34:{1,2,3,7}:{(17,1),(28,1),(57,1),(103,1)}
        35:{1,2,4,6}:{(17,1),(18,1),(29,1),(51,1),(57,1),(58,1),(113,1)}
        36:{1,2,4,5}:{(18,1),(30,1),(52,1),(58,1),(59,1),(100,1)}
        37:{1,3,5,7}:{(19,1),(22,1),(53,1),(60,1),(61,1),(66,1)}
        38:{1,2,5,6}:{(19,1),(54,1),(61,1),(62,1),(164,1),(212,1)}
        39:{3,5,6,7}:{(20,1),(21,1),(63,1),(64,1),(209,1)}
        40:{1,4,6,7}:{(21,1),(22,1),(60,1),(63,1),(207,1)}
        41:{2,4,6,7}:{(21,1),(23,1),(25,1),(64,1),(160,1)}
        42:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(26,1),(61,1),(65,1),(66,1),(69,1),(116,1),(122,1),(174,1),(177,1)}
        43:{3,5,6}:{(24,1),(66,1),(67,1),(109,1),(170,1)}
        44:{1,2,6,7}:{(25,1),(26,1),(68,1),(113,1)}
        45:{1,3,5,7}:{(26,1),(27,1),(28,1),(66,1),(68,1),(69,1),(122,1)}
        46:{1,4,6}:{(27,1),(67,1),(69,1),(70,1)}
        47:{1,3,4,7}:{(28,1),(29,1),(57,1),(69,1),(71,1),(108,1)}
        48:{1,3,5}:{(29,1),(58,1),(70,1),(109,1)}
        49:{1,3,4,6}:{(30,1),(59,1),(72,1),(73,1),(159,1)}
        50:{1,3,4,5}:{(32,1),(74,1),(93,1),(138,1),(181,1)}
        51:{2,3,4,6}:{(31,1),(35,1),(75,1),(76,1),(77,1),(80,1),(130,1),(131,1)}
        52:{2,3,5}:{(31,1),(36,1),(77,1)}
        53:{1,3,4,7}:{(32,1),(37,1),(78,1),(92,1)}
        54:{1,2,4,6}:{(32,1),(38,1),(74,1),(78,1),(79,1),(89,1)}
        55:{1,2,3,5,7}:{(33,1),(34,1),(45,1),(81,1),(82,1),(84,1),(88,1),(132,1),(133,1),(140,1),(142,1),(190,1),(195,1)}
        56:{1,2,4,6}:{(33,1),(46,1),(80,1),(82,1),(83,1),(89,1),(130,1),(185,1)}
        57:{1,2,4,7}:{(34,1),(35,1),(47,1),(75,1),(84,1)}
        58:{1,2,5}:{(35,1),(48,1),(76,1)}
        59:{1,2,4,6}:{(36,1),(49,1),(77,1),(85,1),(86,1),(130,1)}
        60:{1,3,6,7}:{(37,1),(40,1),(87,1),(91,1),(194,1)}
        61:{1,2,5,7}:{(37,1),(38,1),(78,1),(87,1),(88,1)}
        62:{2,3,5,6}:{(38,1),(43,1),(79,1),(88,1),(89,1),(136,1),(192,1),(200,1)}
        63:{1,5,6,7}:{(39,1),(40,1),(222,1)}
        64:{2,5,6,7}:{(39,1),(41,1),(188,1)}
        65:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(44,1),(87,1),(90,1),(91,1),(94,1),(143,1),(146,1),(149,1)}
        66:{3,5,7}:{(42,1),(43,1),(91,1),(92,1)}
        67:{3,4,6}:{(43,1),(46,1),(89,1),(92,1),(93,1)}
        68:{1,3,6,7}:{(44,1),(45,1),(91,1),(94,1),(97,1)}
        69:{1,4,7}:{(45,1),(46,1),(92,1)}
        70:{1,4,5}:{(46,1),(48,1),(93,1)}
        71:{1,3,5,7}:{(47,1),(48,1),(84,1),(95,1),(97,1),(140,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(85,1),(96,1),(97,1),(98,1),(141,1)}
        73:{1,3,4,7}:{(49,1),(86,1),(98,1),(187,1)}
        74:{1,2,4,5}:{(50,1),(54,1),(99,1),(117,1),(155,1),(164,1)}
        75:{2,3,4,7}:{(51,1),(57,1),(101,1),(103,1),(108,1),(161,1)}
        76:{2,3,5}:{(51,1),(58,1),(100,1),(109,1)}
        77:{2,3,6}:{(52,1),(59,1),(103,1)}
        78:{1,2,4,7}:{(53,1),(54,1),(61,1),(105,1),(116,1)}
        79:{2,3,6}:{(54,1),(99,1),(105,1)}
        80:{3,4,6}:{(56,1),(108,1),(109,1),(170,1)}
        81:{1,2,3,6,7}:{(55,1),(68,1),(110,1),(113,1),(115,1),(162,1),(170,1),(212,1),(215,1)}
        82:{1,2,4,7}:{(55,1),(56,1),(69,1),(108,1),(116,1),(161,1),(208,1)}
        83:{1,2,4,5}:{(56,1),(58,1),(70,1),(100,1),(109,1),(117,1),(157,1),(164,1)}
        84:{1,2,5,7}:{(57,1),(58,1),(71,1),(101,1),(113,1)}
        85:{1,2,5,6}:{(58,1),(59,1),(72,1),(102,1),(113,1),(114,1)}
        86:{1,2,4,7}:{(59,1),(73,1),(103,1),(114,1),(161,1)}
        87:{1,2,6,7}:{(60,1),(61,1),(115,1),(212,1)}
        88:{2,3,5,7}:{(61,1),(62,1),(66,1),(105,1),(115,1),(116,1),(174,1)}
        89:{2,4,6}:{(62,1),(67,1),(116,1),(117,1)}
        90:{1,2,5,6,7}:{(63,1),(64,1),(65,1),(118,1),(122,1),(172,1),(174,1)}
        91:{3,6,7}:{(65,1),(66,1),(170,1)}
        92:{3,4,7}:{(66,1),(67,1),(69,1),(116,1)}
        93:{3,4,5}:{(67,1),(70,1),(109,1),(117,1)}
        94:{1,4,6,7}:{(68,1),(69,1),(119,1),(122,1),(123,1)}
        95:{1,4,5,7}:{(69,1),(70,1),(71,1),(120,1),(122,1),(123,1)}
        96:{1,4,5,6}:{(70,1),(72,1),(121,1),(123,1),(124,1)}
        97:{1,3,6}:{(71,1),(113,1),(123,1),(170,1)}
        98:{1,3,5,7}:{(72,1),(73,1),(114,1),(124,1),(125,1),(171,1)}
        99:{2,3,5}:{(74,1),(79,1),(127,1)}
       100:{2,4,5}:{(76,1),(128,1),(130,1)}
       101:{2,3,5,7}:{(75,1),(76,1),(84,1),(129,1),(131,1),(140,1)}
       102:{2,3,5,6}:{(76,1),(77,1),(85,1),(130,1),(131,1),(132,1),(141,1),(188,1)}
       103:{2,3,7}:{(77,1),(86,1)}
       104:{1,2,3,6}:{(79,1),(126,1),(133,1),(134,1),(220,1)}
       105:{2,3,7}:{(78,1),(79,1)}
       106:{2,3,4,6}:{(79,1),(80,1),(89,1),(127,1),(134,1),(135,1),(136,1),(192,1)}
       107:{1,3,4,6}:{(80,1),(134,1),(137,1),(138,1),(181,1),(185,1),(194,1),(220,1)}
       108:{3,4,7}:{(80,1),(82,1),(140,1)}
       109:{3,5}:{(80,1),(83,1)}
       110:{1,2,4,6,7}:{(81,1),(82,1),(94,1),(139,1),(142,1),(143,1),(146,1),(189,1),(223,1)}
       111:{1,2,4,5,7}:{(82,1),(83,1),(84,1),(95,1),(129,1),(140,1),(142,1),(143,1),(147,1),(184,1),(190,1),(196,1)}
       112:{1,2,4,5,6}:{(83,1),(85,1),(96,1),(130,1),(141,1),(143,1),(144,1),(148,1),(185,1),(188,1),(191,1),(222,1),(224,1)}
       113:{1,2,6}:{(84,1),(97,1),(131,1)}
       114:{1,2,5,7}:{(85,1),(86,1),(98,1),(132,1),(145,1)}
       115:{2,3,6,7}:{(87,1),(88,1),(91,1),(146,1),(192,1)}
       116:{2,4,7}:{(88,1),(89,1),(92,1)}
       117:{2,4,5}:{(89,1),(93,1),(136,1)}
       118:{3,5,6,7}:{(90,1),(91,1),(149,1),(150,1),(197,1)}
       119:{3,4,6,7}:{(91,1),(92,1),(94,1),(146,1),(149,1),(150,1),(151,1)}
       120:{3,4,5,7}:{(92,1),(93,1),(95,1),(140,1),(147,1),(150,1),(151,1),(196,1)}
       121:{3,4,5,6}:{(93,1),(96,1),(141,1),(148,1),(151,1),(152,1),(224,1)}
       122:{1,5,7}:{(94,1),(150,1),(153,1)}
       123:{1,4,6}:{(95,1),(97,1),(151,1),(153,1)}
       124:{1,4,5,7}:{(96,1),(98,1),(152,1),(154,1)}
       125:{1,3,6,7}:{(97,1),(98,1),(145,1),(154,1),(198,1)}
       126:{1,2,3,5}:{(99,1),(104,1),(155,1),(164,1),(204,1)}
       127:{2,3,4}:{(99,1),(155,1)}
       128:{3,4,5}:{(100,1),(109,1),(157,1),(159,1)}
       129:{2,4,5,7}:{(100,1),(101,1),(158,1),(160,1),(161,1),(211,1)}
       130:{2,4,6}:{(100,1),(102,1),(159,1),(161,1)}
       131:{2,3,6}:{(101,1),(113,1),(160,1),(170,1)}
       132:{2,3,5,7}:{(102,1),(103,1),(114,1),(161,1),(162,1),(171,1),(211,1)}
       133:{1,2,3,7}:{(104,1),(105,1),(163,1),(228,1)}
       134:{1,2,4,6}:{(104,1),(106,1),(107,1),(155,1),(163,1),(164,1),(212,1)}
       135:{2,3,4,7}:{(105,1),(106,1),(108,1),(116,1),(163,1),(165,1)}
       136:{2,3,5}:{(106,1),(109,1),(117,1),(164,1)}
       137:{1,3,4,7}:{(107,1),(108,1),(163,1),(167,1),(208,1),(228,1)}
       138:{1,3,5}:{(107,1),(109,1),(157,1),(164,1)}
       139:{3,4,6,7}:{(108,1),(110,1),(169,1),(170,1),(216,1)}
       140:{3,5,7}:{(108,1),(109,1),(111,1),(170,1)}
       141:{3,5,6}:{(109,1),(112,1),(159,1),(170,1),(171,1)}
       142:{1,2,5,7}:{(110,1),(122,1),(169,1),(172,1),(174,1),(211,1),(229,1)}
       143:{1,2,4,6}:{(111,1),(113,1),(123,1),(160,1),(170,1),(172,1),(175,1),(207,1),(212,1),(216,1)}
       144:{1,2,4,5,7}:{(112,1),(114,1),(124,1),(161,1),(171,1),(173,1),(176,1),(208,1),(211,1),(213,1),(229,1),(230,1)}
       145:{1,2,6,7}:{(113,1),(114,1),(125,1),(162,1)}
       146:{2,4,6,7}:{(115,1),(116,1),(119,1),(174,1),(175,1)}
       147:{2,4,5,7}:{(116,1),(117,1),(120,1),(165,1),(174,1),(175,1)}
       148:{2,4,5,6}:{(117,1),(121,1),(166,1),(175,1),(176,1)}
       149:{4,6,7}:{(118,1),(177,1),(216,1)}
       150:{3,5,7}:{(119,1),(122,1),(174,1),(177,1),(178,1)}
       151:{3,4,6}:{(120,1),(123,1),(170,1),(175,1),(178,1),(216,1)}
       152:{3,4,5,7}:{(121,1),(124,1),(171,1),(176,1),(179,1),(230,1)}
       153:{1,5,6}:{(122,1),(123,1),(178,1)}
       154:{1,4,6,7}:{(123,1),(124,1),(125,1),(179,1),(180,1)}
       155:{1,2,4}:{(126,1),(127,1),(181,1)}
       156:{2,3,4,5}:{(127,1),(128,1),(136,1),(182,1),(183,1)}
       157:{1,4,5}:{(128,1),(138,1),(185,1)}
       158:{3,4,5,7}:{(128,1),(129,1),(140,1),(184,1),(186,1),(187,1),(196,1),(225,1)}
       159:{3,4,6}:{(128,1),(130,1),(141,1),(185,1),(187,1)}
       160:{2,4,6}:{(129,1),(131,1),(186,1),(188,1)}
       161:{2,4,7}:{(130,1),(132,1),(187,1)}
       162:{2,3,6,7}:{(131,1),(132,1),(145,1),(189,1),(198,1)}
       163:{1,2,4,7}:{(133,1),(134,1),(135,1),(137,1),(190,1)}
       164:{1,2,5}:{(134,1),(136,1),(138,1)}
       165:{2,3,5,7}:{(135,1),(136,1),(140,1),(147,1),(190,1),(192,1)}
       166:{2,3,5,6}:{(136,1),(141,1),(148,1),(183,1),(191,1),(192,1),(193,1)}
       167:{1,3,5,7}:{(137,1),(138,1),(140,1),(184,1),(190,1),(194,1)}
       168:{1,3,5,6}:{(138,1),(141,1),(185,1),(191,1),(194,1),(195,1),(220,1),(222,1)}
       169:{3,5,7}:{(139,1),(142,1),(196,1),(197,1)}
       170:{3,6}:{(140,1),(143,1)}
       171:{3,5,7}:{(141,1),(144,1),(187,1),(198,1)}
       172:{1,2,5,6}:{(142,1),(143,1),(153,1),(188,1),(197,1),(200,1),(222,1)}
       173:{1,2,4,6,7}:{(143,1),(144,1),(145,1),(154,1),(189,1),(198,1),(199,1),(201,1),(223,1),(226,1),(227,1)}
       174:{2,5,7}:{(146,1),(150,1),(200,1)}
       175:{2,4,6}:{(147,1),(151,1),(192,1),(200,1)}
       176:{2,4,5,7}:{(148,1),(152,1),(193,1),(201,1)}
       177:{4,5,7}:{(149,1),(150,1),(202,1)}
       178:{3,5,6}:{(150,1),(151,1),(153,1),(200,1),(202,1)}
       179:{3,4,6,7}:{(151,1),(152,1),(154,1),(198,1),(201,1),(203,1),(227,1)}
       180:{1,5,6,7}:{(153,1),(154,1),(203,1)}
       181:{1,3,4}:{(155,1),(204,1)}
       182:{1,2,4,5}:{(155,1),(156,1),(157,1),(164,1),(204,1),(205,1)}
       183:{2,3,4,6}:{(156,1),(159,1),(166,1),(205,1),(206,1)}
       184:{1,4,5,7}:{(157,1),(158,1),(167,1),(207,1),(208,1),(229,1)}
       185:{1,4,6}:{(157,1),(159,1),(168,1),(208,1)}
       186:{3,4,6}:{(158,1),(160,1),(170,1),(207,1),(209,1),(216,1)}
       187:{3,4,7}:{(159,1),(161,1),(171,1),(208,1)}
       188:{2,5,6}:{(160,1),(209,1),(211,1)}
       189:{2,4,6,7}:{(160,1),(161,1),(162,1),(210,1),(211,1)}
       190:{1,2,5,7}:{(163,1),(164,1),(165,1),(167,1),(212,1)}
       191:{1,2,5,6}:{(164,1),(166,1),(168,1),(205,1),(212,1),(213,1)}
       192:{2,3,6}:{(165,1),(170,1),(175,1),(212,1)}
       193:{2,3,5,7}:{(166,1),(171,1),(176,1),(206,1),(213,1),(214,1)}
       194:{1,3,6}:{(167,1),(170,1),(207,1),(212,1)}
       195:{1,3,5,7}:{(168,1),(171,1),(208,1),(213,1),(215,1),(228,1),(229,1)}
       196:{4,5,7}:{(169,1),(216,1)}
       197:{3,5,6}:{(169,1),(170,1),(172,1),(216,1)}
       198:{3,6,7}:{(170,1),(171,1),(173,1)}
       199:{1,2,5,6,7}:{(172,1),(173,1),(180,1),(211,1),(217,1),(218,1),(229,1)}
       200:{2,5,6}:{(174,1),(175,1),(178,1)}
       201:{2,4,6,7}:{(175,1),(176,1),(179,1),(214,1),(218,1)}
       202:{4,5,6}:{(177,1),(178,1),(216,1)}
       203:{3,5,6,7}:{(178,1),(179,1),(180,1),(218,1),(219,1)}
       204:{1,3,5}:{(181,1),(182,1),(220,1)}
       205:{1,2,4,6}:{(182,1),(183,1),(185,1),(191,1),(220,1),(221,1)}
       206:{2,3,4,7}:{(183,1),(187,1),(193,1),(221,1)}
       207:{1,4,6}:{(184,1),(186,1),(194,1),(222,1)}
       208:{1,4,7}:{(185,1),(187,1),(195,1)}
       209:{3,5,6}:{(186,1),(188,1),(222,1),(224,1),(225,1)}
       210:{3,4,6,7}:{(186,1),(187,1),(189,1),(198,1),(223,1),(225,1),(227,1)}
       211:{2,5,7}:{(188,1),(189,1),(225,1)}
       212:{1,2,6}:{(190,1),(192,1),(194,1)}
       213:{1,2,5,7}:{(191,1),(193,1),(195,1),(221,1),(226,1)}
       214:{2,3,6,7}:{(192,1),(193,1),(198,1),(201,1),(226,1)}
       215:{1,3,6,7}:{(194,1),(195,1),(198,1),(223,1),(226,1)}
       216:{4,6}:{(196,1),(197,1)}
       217:{3,5,6,7}:{(197,1),(198,1),(199,1),(225,1),(227,1)}
       218:{2,5,6,7}:{(200,1),(201,1),(203,1)}
       219:{4,5,6,7}:{(202,1),(203,1),(227,1)}
       220:{1,3,6}:{(204,1),(205,1),(228,1)}
       221:{1,2,4,7}:{(205,1),(206,1),(208,1),(213,1),(228,1)}
       222:{1,5,6}:{(207,1),(209,1),(229,1)}
       223:{1,4,6,7}:{(207,1),(208,1),(210,1),(215,1),(229,1)}
       224:{4,5,6}:{(209,1),(216,1),(230,1)}
       225:{3,5,7}:{(209,1),(210,1),(211,1),(229,1),(230,1)}
       226:{1,2,6,7}:{(212,1),(213,1),(214,1),(215,1)}
       227:{4,6,7}:{(216,1),(217,1),(230,1)}
       228:{1,3,7}:{(220,1),(221,1)}
       229:{1,5,7}:{(222,1),(223,1),(225,1)}
       230:{4,5,7}:{(224,1),(225,1),(227,1)}

1100 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(22,1),(163,1),(175,1),(209,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(61,1),(69,1),(117,1)}
         2:{1,4,5,6}:{(0,1),(7,1),(10,1),(183,1),(217,1)}
         3:{2,4,5,6}:{(0,1),(8,1),(11,1),(147,1),(200,1)}
         4:{3,4,5,7}:{(0,1),(10,1),(11,1),(12,1),(41,1),(146,1)}
         5:{2,3,4,6}:{(1,1),(8,1),(13,1),(14,1),(40,1)}
         6:{1,2,4,5}:{(1,1),(13,1),(15,1),(49,1),(82,1),(90,1)}
         7:{1,3,5,6}:{(2,1),(17,1),(18,1),(19,1),(22,1),(157,1),(206,1)}
         8:{2,3,5,6}:{(3,1),(5,1),(20,1),(21,1),(22,1),(117,1),(179,1)}
         9:{1,2,4,5,6}:{(2,1),(3,1),(18,1),(20,1),(22,1),(23,1),(55,1),(58,1),(104,1),(168,1),(171,1),(173,1),(175,1)}
        10:{1,4,5,7}:{(2,1),(4,1),(19,1),(24,1)}
        11:{2,4,5,7}:{(3,1),(4,1),(21,1),(25,1)}
        12:{3,4,6,7}:{(4,1),(24,1),(25,1),(26,1),(63,1),(116,1),(209,1)}
        13:{1,2,4,6}:{(5,1),(6,1),(20,1),(27,1),(28,1),(58,1)}
        14:{2,3,4,7}:{(5,1),(21,1),(28,1),(62,1)}
        15:{1,3,5}:{(6,1),(27,1),(30,1)}
        16:{1,3,4,5}:{(17,1),(31,1),(61,1),(125,1),(157,1)}
        17:{1,3,4,6}:{(7,1),(16,1),(32,1),(33,1),(40,1)}
        18:{1,2,5,6}:{(7,1),(32,1),(34,1),(35,1),(129,1),(187,1)}
        19:{1,3,5,7}:{(7,1),(10,1),(33,1),(35,1),(36,1),(41,1)}
        20:{1,2,5,6}:{(8,1),(13,1),(37,1),(38,1),(90,1),(151,1)}
        21:{2,3,5,7}:{(8,1),(11,1),(14,1),(38,1),(39,1),(41,1)}
        22:{3,5,6}:{(9,1),(40,1),(41,1),(133,1),(192,1)}
        23:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(35,1),(38,1),(41,1),(42,1),(80,1),(83,1),(140,1),(143,1),(146,1)}
        24:{1,4,6,7}:{(10,1),(12,1),(36,1),(43,1),(217,1)}
        25:{2,4,6,7}:{(11,1),(12,1),(39,1),(44,1),(200,1)}
        26:{3,5,6,7}:{(12,1),(43,1),(44,1),(45,1),(220,1)}
        27:{1,3,6}:{(13,1),(15,1),(48,1)}
        28:{1,2,4,7}:{(13,1),(14,1),(38,1),(48,1),(83,1)}
        29:{1,2,3,5}:{(15,1),(46,1),(49,1),(90,1),(94,1)}
        30:{1,3,4}:{(15,1),(49,1)}
        31:{1,2,4,5}:{(16,1),(32,1),(51,1),(79,1),(97,1),(129,1)}
        32:{1,2,4,6}:{(17,1),(18,1),(31,1),(52,1),(53,1),(55,1)}
        33:{1,3,4,7}:{(17,1),(19,1),(53,1),(62,1)}
        34:{2,3,5,6}:{(18,1),(22,1),(52,1),(55,1),(56,1),(101,1),(162,1),(171,1)}
        35:{1,2,5,7}:{(18,1),(19,1),(53,1),(56,1),(57,1)}
        36:{1,3,6,7}:{(19,1),(24,1),(57,1),(63,1),(206,1)}
        37:{1,3,5,6}:{(20,1),(22,1),(27,1),(58,1),(59,1),(67,1),(122,1),(173,1)}
        38:{1,2,5,7}:{(20,1),(21,1),(28,1),(59,1),(60,1)}
        39:{2,3,6,7}:{(21,1),(25,1),(60,1),(63,1),(179,1)}
        40:{3,4,6}:{(22,1),(55,1),(58,1),(61,1),(62,1)}
        41:{3,5,7}:{(22,1),(23,1),(62,1),(63,1)}
        42:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(57,1),(60,1),(63,1),(64,1),(109,1),(112,1),(116,1),(168,1)}
        43:{1,5,6,7}:{(24,1),(26,1),(225,1)}
        44:{2,5,6,7}:{(25,1),(26,1),(215,1)}
        45:{4,5,6,7}:{(26,1),(116,1),(227,1)}
        46:{1,2,3,6}:{(27,1),(29,1),(65,1),(66,1),(123,1)}
        47:{1,3,4,6}:{(27,1),(30,1),(58,1),(65,1),(67,1),(68,1),(103,1),(122,1)}
        48:{1,3,7}:{(27,1),(28,1)}
        49:{1,2,4}:{(29,1),(30,1),(69,1)}
        50:{1,3,4,5}:{(30,1),(67,1),(70,1),(71,1),(163,1)}
        51:{2,3,5}:{(31,1),(52,1),(73,1)}
        52:{2,3,6}:{(32,1),(51,1),(76,1)}
        53:{1,2,4,7}:{(32,1),(33,1),(35,1),(76,1),(80,1)}
        54:{1,2,3,5,6}:{(34,1),(37,1),(46,1),(74,1),(77,1),(78,1),(90,1),(129,1),(133,1),(148,1),(151,1),(184,1),(187,1),(192,1),(195,1)}
        55:{2,4,6}:{(34,1),(40,1),(79,1),(80,1)}
        56:{2,3,5,7}:{(34,1),(35,1),(41,1),(76,1),(80,1),(81,1),(140,1)}
        57:{1,2,6,7}:{(35,1),(36,1),(81,1),(187,1)}
        58:{1,4,6}:{(37,1),(40,1),(82,1),(83,1)}
        59:{1,3,5,7}:{(37,1),(38,1),(41,1),(48,1),(83,1),(84,1),(143,1)}
        60:{1,2,6,7}:{(38,1),(39,1),(84,1),(151,1)}
        61:{3,4,5}:{(40,1),(79,1),(82,1),(133,1)}
        62:{3,4,7}:{(40,1),(41,1),(80,1),(83,1)}
        63:{3,6,7}:{(41,1),(42,1),(192,1)}
        64:{1,2,5,6,7}:{(42,1),(43,1),(44,1),(88,1),(140,1),(143,1),(195,1)}
        65:{1,2,4,6}:{(46,1),(47,1),(49,1),(89,1),(90,1),(91,1),(151,1)}
        66:{1,2,3,7}:{(46,1),(48,1),(91,1),(153,1)}
        67:{1,3,5}:{(47,1),(82,1),(90,1),(133,1)}
        68:{1,3,4,7}:{(47,1),(48,1),(83,1),(91,1),(93,1),(134,1)}
        69:{2,3,4}:{(49,1),(94,1)}
        70:{1,2,4,5}:{(49,1),(50,1),(90,1),(94,1),(95,1),(147,1)}
        71:{1,3,4,6}:{(50,1),(92,1),(95,1),(96,1),(189,1)}
        72:{1,2,3,5}:{(51,1),(74,1),(97,1),(129,1),(154,1)}
        73:{2,3,4}:{(51,1),(97,1)}
        74:{1,2,3,6}:{(52,1),(72,1),(99,1),(100,1),(181,1)}
        75:{2,3,4,6}:{(52,1),(55,1),(73,1),(99,1),(101,1),(102,1),(103,1),(162,1)}
        76:{2,3,7}:{(52,1),(53,1)}
        77:{1,2,4,6}:{(54,1),(55,1),(58,1),(103,1),(104,1),(105,1),(176,1),(203,1)}
        78:{1,2,3,5,7}:{(54,1),(56,1),(59,1),(66,1),(100,1),(105,1),(106,1),(120,1),(160,1),(165,1),(169,1),(178,1),(205,1)}
        79:{2,4,5}:{(55,1),(61,1),(101,1)}
        80:{2,4,7}:{(55,1),(56,1),(62,1)}
        81:{2,3,6,7}:{(56,1),(57,1),(63,1),(109,1),(162,1)}
        82:{1,4,5}:{(58,1),(61,1),(67,1)}
        83:{1,4,7}:{(58,1),(59,1),(62,1)}
        84:{1,3,6,7}:{(59,1),(60,1),(63,1),(112,1),(122,1)}
        85:{3,4,5,6}:{(61,1),(107,1),(110,1),(113,1),(114,1),(164,1),(227,1)}
        86:{3,4,5,7}:{(61,1),(62,1),(108,1),(111,1),(114,1),(115,1),(165,1),(212,1)}
        87:{3,4,6,7}:{(62,1),(63,1),(109,1),(112,1),(114,1),(115,1),(116,1)}
        88:{3,5,6,7}:{(63,1),(64,1),(115,1),(116,1),(211,1)}
        89:{2,3,4,6}:{(65,1),(69,1),(103,1),(117,1),(118,1),(123,1),(176,1),(179,1)}
        90:{1,2,5}:{(65,1),(67,1),(117,1)}
        91:{1,2,4,7}:{(65,1),(66,1),(68,1),(118,1),(120,1)}
        92:{1,3,5,6}:{(67,1),(71,1),(110,1),(119,1),(121,1),(122,1),(164,1)}
        93:{1,3,5,7}:{(67,1),(68,1),(111,1),(120,1),(122,1),(165,1)}
        94:{2,3,5}:{(69,1),(70,1),(123,1)}
        95:{1,2,4,6}:{(70,1),(71,1),(119,1),(123,1),(124,1),(176,1)}
        96:{1,3,4,7}:{(71,1),(121,1),(124,1),(208,1)}
        97:{1,2,4}:{(72,1),(73,1),(125,1)}
        98:{2,3,4,5}:{(73,1),(101,1),(126,1),(127,1),(163,1)}
        99:{1,2,4,6}:{(74,1),(75,1),(97,1),(128,1),(129,1),(130,1),(187,1)}
       100:{1,2,3,7}:{(74,1),(76,1),(130,1),(202,1)}
       101:{2,3,5}:{(75,1),(79,1),(129,1),(133,1)}
       102:{2,3,4,7}:{(75,1),(76,1),(80,1),(130,1),(132,1),(134,1)}
       103:{3,4,6}:{(77,1),(133,1),(134,1),(192,1)}
       104:{1,2,4,5}:{(77,1),(79,1),(82,1),(90,1),(129,1),(133,1),(147,1),(183,1)}
       105:{1,2,4,7}:{(77,1),(78,1),(80,1),(83,1),(134,1),(199,1),(216,1)}
       106:{1,2,3,6,7}:{(78,1),(81,1),(84,1),(137,1),(151,1),(187,1),(192,1),(201,1),(218,1)}
       107:{2,4,5,6}:{(79,1),(85,1),(131,1),(138,1),(139,1)}
       108:{2,4,5,7}:{(79,1),(80,1),(86,1),(132,1),(139,1),(140,1)}
       109:{2,4,6,7}:{(80,1),(81,1),(87,1),(139,1),(140,1)}
       110:{1,4,5,6}:{(82,1),(85,1),(92,1),(141,1),(142,1)}
       111:{1,4,5,7}:{(82,1),(83,1),(86,1),(93,1),(142,1),(143,1)}
       112:{1,4,6,7}:{(83,1),(84,1),(87,1),(142,1),(143,1)}
       113:{3,4,5,7}:{(85,1),(138,1),(141,1),(144,1),(191,1),(230,1)}
       114:{3,4,6}:{(86,1),(139,1),(142,1),(145,1),(192,1),(222,1)}
       115:{3,5,7}:{(87,1),(140,1),(143,1),(145,1),(146,1)}
       116:{4,6,7}:{(88,1),(146,1),(222,1)}
       117:{2,3,5}:{(89,1),(90,1),(133,1),(147,1)}
       118:{2,3,4,7}:{(89,1),(91,1),(134,1),(149,1),(153,1),(199,1)}
       119:{1,2,5,6}:{(90,1),(92,1),(95,1),(148,1),(150,1),(151,1)}
       120:{1,2,5,7}:{(90,1),(91,1),(93,1),(149,1),(151,1)}
       121:{1,3,5,7}:{(92,1),(96,1),(141,1),(150,1),(152,1),(191,1)}
       122:{1,3,6}:{(93,1),(142,1),(151,1),(192,1)}
       123:{2,3,6}:{(94,1),(95,1),(153,1)}
       124:{1,2,4,7}:{(95,1),(96,1),(150,1),(153,1),(199,1)}
       125:{1,3,4}:{(97,1),(154,1)}
       126:{1,2,4,5}:{(97,1),(98,1),(129,1),(154,1),(155,1),(183,1)}
       127:{2,3,4,6}:{(98,1),(131,1),(155,1),(156,1),(189,1)}
       128:{1,3,4,6}:{(99,1),(103,1),(125,1),(157,1),(158,1),(181,1),(203,1),(206,1)}
       129:{1,2,5}:{(99,1),(101,1),(157,1)}
       130:{1,2,4,7}:{(99,1),(100,1),(102,1),(158,1),(160,1)}
       131:{2,3,5,6}:{(101,1),(107,1),(127,1),(159,1),(161,1),(162,1),(164,1)}
       132:{2,3,5,7}:{(101,1),(102,1),(108,1),(160,1),(162,1),(165,1)}
       133:{3,5}:{(103,1),(104,1)}
       134:{3,4,7}:{(103,1),(105,1),(165,1)}
       135:{1,2,4,5,6}:{(104,1),(107,1),(110,1),(119,1),(159,1),(164,1),(167,1),(168,1),(176,1),(203,1),(215,1),(225,1),(227,1)}
       136:{1,2,4,5,7}:{(104,1),(105,1),(108,1),(111,1),(120,1),(160,1),(165,1),(168,1),(169,1),(177,1),(204,1),(212,1)}
       137:{1,2,4,6,7}:{(105,1),(106,1),(109,1),(112,1),(166,1),(168,1),(169,1),(214,1),(224,1)}
       138:{2,4,5,7}:{(107,1),(113,1),(161,1),(170,1)}
       139:{2,4,6}:{(108,1),(114,1),(162,1),(171,1)}
       140:{2,5,7}:{(109,1),(115,1),(171,1)}
       141:{1,4,5,7}:{(110,1),(113,1),(121,1),(172,1)}
       142:{1,4,6}:{(111,1),(114,1),(122,1),(173,1)}
       143:{1,5,7}:{(112,1),(115,1),(173,1)}
       144:{3,4,6,7}:{(113,1),(114,1),(170,1),(172,1),(174,1),(210,1),(228,1)}
       145:{3,5,6}:{(114,1),(115,1),(171,1),(173,1),(175,1)}
       146:{4,5,7}:{(115,1),(116,1),(175,1)}
       147:{2,4,5}:{(117,1),(163,1),(176,1)}
       148:{2,3,5,6}:{(117,1),(119,1),(123,1),(164,1),(176,1),(178,1),(179,1),(215,1)}
       149:{2,3,5,7}:{(117,1),(118,1),(120,1),(165,1),(177,1),(179,1)}
       150:{1,2,5,7}:{(119,1),(121,1),(124,1),(178,1),(180,1)}
       151:{1,2,6}:{(120,1),(122,1),(179,1)}
       152:{1,3,6,7}:{(121,1),(122,1),(172,1),(180,1),(210,1)}
       153:{2,3,7}:{(123,1),(124,1)}
       154:{1,3,5}:{(125,1),(126,1),(181,1)}
       155:{1,2,4,6}:{(126,1),(127,1),(159,1),(181,1),(182,1),(203,1)}
       156:{2,3,4,7}:{(127,1),(161,1),(182,1),(208,1)}
       157:{1,3,5}:{(128,1),(129,1),(133,1),(183,1)}
       158:{1,3,4,7}:{(128,1),(130,1),(134,1),(185,1),(202,1),(216,1)}
       159:{1,2,5,6}:{(129,1),(131,1),(155,1),(184,1),(186,1),(187,1)}
       160:{1,2,5,7}:{(129,1),(130,1),(132,1),(185,1),(187,1)}
       161:{2,3,5,7}:{(131,1),(138,1),(156,1),(186,1),(188,1),(191,1)}
       162:{2,3,6}:{(132,1),(139,1),(187,1),(192,1)}
       163:{3,4,5}:{(133,1),(147,1),(183,1),(189,1)}
       164:{3,5,6}:{(133,1),(135,1),(189,1),(191,1),(192,1)}
       165:{3,5,7}:{(133,1),(134,1),(136,1),(192,1)}
       166:{3,4,6,7}:{(134,1),(137,1),(192,1),(193,1),(222,1)}
       167:{1,2,4,5,7}:{(135,1),(138,1),(141,1),(150,1),(186,1),(191,1),(194,1),(199,1),(216,1),(223,1),(229,1),(230,1)}
       168:{1,2,4,6}:{(136,1),(139,1),(142,1),(151,1),(187,1),(192,1),(195,1),(200,1),(217,1),(222,1)}
       169:{1,2,5,7}:{(137,1),(140,1),(143,1),(193,1),(195,1),(223,1),(229,1)}
       170:{2,4,6,7}:{(138,1),(139,1),(144,1),(188,1),(196,1)}
       171:{2,5,6}:{(139,1),(140,1),(145,1)}
       172:{1,4,6,7}:{(141,1),(142,1),(144,1),(152,1),(197,1)}
       173:{1,5,6}:{(142,1),(143,1),(145,1)}
       174:{3,5,6,7}:{(144,1),(145,1),(196,1),(197,1),(198,1)}
       175:{4,5,6}:{(145,1),(146,1),(222,1)}
       176:{2,4,6}:{(147,1),(148,1),(189,1),(199,1)}
       177:{2,4,5,7}:{(147,1),(149,1),(190,1),(199,1),(200,1),(223,1)}
       178:{2,3,5,7}:{(148,1),(150,1),(153,1),(191,1),(199,1),(201,1),(223,1)}
       179:{2,3,6}:{(149,1),(151,1),(192,1),(200,1)}
       180:{1,2,6,7}:{(150,1),(151,1),(152,1),(201,1)}
       181:{1,3,6}:{(154,1),(155,1),(202,1)}
       182:{1,2,4,7}:{(155,1),(156,1),(186,1),(202,1),(216,1)}
       183:{1,4,5}:{(157,1),(163,1),(203,1)}
       184:{1,3,5,6}:{(157,1),(159,1),(164,1),(181,1),(203,1),(205,1),(206,1),(225,1)}
       185:{1,3,5,7}:{(157,1),(158,1),(160,1),(165,1),(204,1),(206,1)}
       186:{1,2,5,7}:{(159,1),(161,1),(182,1),(205,1),(207,1)}
       187:{1,2,6}:{(160,1),(162,1),(206,1)}
       188:{2,3,6,7}:{(161,1),(162,1),(170,1),(207,1),(210,1)}
       189:{3,4,6}:{(163,1),(164,1),(176,1),(203,1),(208,1)}
       190:{3,4,5,7}:{(163,1),(165,1),(177,1),(204,1),(208,1),(209,1),(212,1),(226,1)}
       191:{3,5,7}:{(164,1),(167,1),(208,1),(210,1)}
       192:{3,6}:{(165,1),(168,1)}
       193:{3,5,7}:{(166,1),(169,1),(211,1),(212,1)}
       194:{1,2,4,6,7}:{(167,1),(168,1),(170,1),(172,1),(180,1),(207,1),(210,1),(213,1),(214,1),(224,1),(228,1)}
       195:{1,2,5,6}:{(168,1),(169,1),(171,1),(173,1),(211,1),(215,1),(225,1)}
       196:{2,5,6,7}:{(170,1),(171,1),(174,1)}
       197:{1,5,6,7}:{(172,1),(173,1),(174,1)}
       198:{4,5,6,7}:{(174,1),(175,1),(228,1)}
       199:{2,4,7}:{(176,1),(178,1),(208,1)}
       200:{2,4,6}:{(177,1),(179,1),(209,1),(215,1)}
       201:{2,3,6,7}:{(178,1),(179,1),(180,1),(210,1),(214,1)}
       202:{1,3,7}:{(181,1),(182,1)}
       203:{1,4,6}:{(183,1),(184,1),(189,1),(216,1)}
       204:{1,4,5,7}:{(183,1),(185,1),(190,1),(216,1),(217,1),(229,1)}
       205:{1,3,5,7}:{(184,1),(186,1),(191,1),(202,1),(216,1),(218,1),(229,1)}
       206:{1,3,6}:{(185,1),(187,1),(192,1),(217,1)}
       207:{1,2,6,7}:{(186,1),(187,1),(188,1),(218,1)}
       208:{3,4,7}:{(189,1),(191,1),(199,1),(216,1)}
       209:{3,4,6}:{(190,1),(192,1),(200,1),(217,1),(220,1),(222,1)}
       210:{3,6,7}:{(191,1),(192,1),(194,1)}
       211:{3,5,6}:{(192,1),(193,1),(195,1),(222,1)}
       212:{4,5,7}:{(193,1),(222,1)}
       213:{1,2,5,6,7}:{(194,1),(195,1),(196,1),(197,1),(221,1),(223,1),(229,1)}
       214:{2,4,6,7}:{(199,1),(200,1),(201,1),(219,1),(223,1)}
       215:{2,5,6}:{(200,1),(220,1),(223,1)}
       216:{1,4,7}:{(203,1),(205,1),(208,1)}
       217:{1,4,6}:{(204,1),(206,1),(209,1),(225,1)}
       218:{1,3,6,7}:{(205,1),(206,1),(207,1),(210,1),(224,1)}
       219:{3,4,6,7}:{(208,1),(209,1),(210,1),(214,1),(224,1),(226,1),(228,1)}
       220:{3,5,6}:{(209,1),(215,1),(225,1),(226,1),(227,1)}
       221:{3,5,6,7}:{(210,1),(211,1),(213,1),(226,1),(228,1)}
       222:{4,6}:{(211,1),(212,1)}
       223:{2,5,7}:{(214,1),(215,1),(226,1)}
       224:{1,4,6,7}:{(216,1),(217,1),(218,1),(219,1),(229,1)}
       225:{1,5,6}:{(217,1),(220,1),(229,1)}
       226:{3,5,7}:{(219,1),(220,1),(223,1),(229,1),(230,1)}
       227:{4,5,6}:{(220,1),(222,1),(230,1)}
       228:{4,6,7}:{(221,1),(222,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(226,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

1101 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(18,1),(28,1),(59,1),(68,1),(127,1)}
         1:{2,3,4,6}:{(2,1),(5,1),(6,1),(20,1),(31,1),(59,1),(68,1),(127,1)}
         2:{1,2,4,6}:{(0,1),(1,1),(9,1),(10,1),(11,1),(43,1),(47,1)}
         3:{1,3,5}:{(0,1),(10,1),(12,1),(45,1),(153,1)}
         4:{1,3,4,7}:{(0,1),(11,1),(13,1),(38,1),(89,1),(99,1),(226,1)}
         5:{2,3,5}:{(1,1),(10,1),(14,1),(45,1),(153,1)}
         6:{2,3,4,7}:{(1,1),(11,1),(15,1),(41,1),(89,1),(99,1),(227,1)}
         7:{1,3,5,6}:{(3,1),(17,1),(18,1),(19,1),(28,1),(32,1),(59,1),(77,1),(132,1)}
         8:{2,3,5,6}:{(5,1),(17,1),(20,1),(21,1),(31,1),(57,1),(59,1),(80,1),(132,1)}
         9:{1,2,3,6}:{(2,1),(22,1),(23,1),(59,1),(115,1)}
        10:{1,2,5}:{(2,1),(3,1),(5,1)}
        11:{1,2,4,7}:{(2,1),(4,1),(6,1),(23,1),(25,1),(229,1)}
        12:{1,4,5}:{(3,1),(18,1),(26,1),(173,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(25,1),(27,1),(28,1),(73,1),(219,1),(222,1)}
        14:{2,4,5}:{(5,1),(20,1),(29,1),(173,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(25,1),(30,1),(31,1),(73,1),(220,1),(223,1)}
        16:{1,4,5,6}:{(18,1),(32,1),(33,1),(77,1),(134,1)}
        17:{1,2,5,6}:{(7,1),(8,1),(10,1),(35,1),(36,1),(47,1),(54,1),(84,1)}
        18:{1,4,6}:{(7,1),(12,1),(37,1),(38,1),(157,1)}
        19:{1,3,5,7}:{(7,1),(36,1),(38,1),(39,1),(55,1),(89,1),(93,1),(144,1)}
        20:{2,4,6}:{(8,1),(14,1),(40,1),(41,1),(157,1)}
        21:{2,3,5,7}:{(8,1),(36,1),(41,1),(42,1),(85,1),(89,1),(96,1),(144,1)}
        22:{1,2,3,5}:{(9,1),(10,1),(43,1),(45,1),(101,1),(149,1)}
        23:{1,2,3,7}:{(9,1),(11,1),(89,1),(141,1),(230,1)}
        24:{1,2,4,5}:{(10,1),(12,1),(14,1),(35,1),(43,1),(45,1),(48,1),(51,1),(101,1)}
        25:{1,2,5,7}:{(10,1),(11,1),(13,1),(15,1),(47,1),(225,1),(228,1)}
        26:{3,4,5}:{(12,1),(37,1),(45,1),(48,1)}
        27:{1,4,5,7}:{(12,1),(13,1),(38,1),(49,1),(50,1),(93,1),(212,1),(216,1)}
        28:{1,3,6}:{(13,1),(47,1),(50,1),(104,1)}
        29:{3,4,5}:{(14,1),(40,1),(45,1),(51,1)}
        30:{2,4,5,7}:{(14,1),(15,1),(41,1),(52,1),(53,1),(96,1),(211,1),(215,1)}
        31:{2,3,6}:{(15,1),(47,1),(53,1),(104,1)}
        32:{3,5,6}:{(16,1),(37,1),(54,1),(55,1)}
        33:{1,4,5,7}:{(16,1),(38,1),(55,1),(56,1),(93,1),(146,1)}
        34:{2,4,5,6}:{(20,1),(57,1),(58,1),(80,1),(136,1)}
        35:{1,2,4,6}:{(17,1),(18,1),(20,1),(24,1),(59,1),(60,1),(62,1),(65,1),(115,1)}
        36:{1,2,5,7}:{(17,1),(19,1),(21,1),(60,1),(61,1),(81,1),(112,1)}
        37:{3,4,6}:{(18,1),(26,1),(32,1),(59,1),(62,1),(63,1)}
        38:{1,4,7}:{(18,1),(19,1),(63,1),(166,1)}
        39:{1,3,6,7}:{(19,1),(28,1),(61,1),(64,1),(82,1),(118,1),(219,1)}
        40:{3,4,6}:{(20,1),(29,1),(57,1),(59,1),(65,1),(66,1)}
        41:{2,4,7}:{(20,1),(21,1),(66,1),(166,1)}
        42:{2,3,6,7}:{(21,1),(31,1),(61,1),(67,1),(113,1),(118,1),(220,1)}
        43:{1,2,4}:{(22,1),(68,1)}
        44:{1,2,3,5,7}:{(22,1),(23,1),(25,1),(69,1),(70,1),(73,1),(128,1),(129,1),(169,1),(202,1)}
        45:{3,5}:{(24,1),(59,1),(68,1)}
        46:{1,2,4,5,7}:{(24,1),(25,1),(27,1),(30,1),(60,1),(69,1),(73,1),(74,1),(75,1),(78,1),(119,1),(128,1),(129,1),(166,1),(173,1),(197,1),(203,1)}
        47:{1,2,6}:{(25,1),(28,1),(31,1)}
        48:{2,4,5}:{(26,1),(62,1),(72,1)}
        49:{3,4,5,7}:{(26,1),(27,1),(63,1),(73,1),(75,1),(76,1),(121,1),(166,1),(173,1),(199,1),(205,1)}
        50:{1,4,6}:{(27,1),(28,1),(76,1),(77,1)}
        51:{1,4,5}:{(29,1),(65,1),(71,1)}
        52:{3,4,5,7}:{(29,1),(30,1),(66,1),(73,1),(78,1),(79,1),(123,1),(166,1),(173,1),(198,1),(204,1)}
        53:{2,4,6}:{(30,1),(31,1),(79,1),(80,1)}
        54:{2,5,6}:{(32,1),(62,1),(81,1)}
        55:{3,5,7}:{(32,1),(33,1),(63,1),(81,1),(82,1)}
        56:{1,4,6,7}:{(33,1),(82,1),(83,1),(138,1)}
        57:{3,5,6}:{(34,1),(40,1),(84,1),(85,1)}
        58:{2,4,5,7}:{(34,1),(41,1),(85,1),(86,1),(96,1),(148,1)}
        59:{3,6}:{(35,1),(45,1),(89,1)}
        60:{1,2,4,7}:{(35,1),(36,1),(38,1),(41,1),(89,1),(91,1),(94,1),(141,1)}
        61:{1,2,6,7}:{(36,1),(39,1),(42,1),(47,1),(110,1),(139,1),(225,1)}
        62:{2,4,6}:{(37,1),(48,1),(54,1),(88,1),(91,1)}
        63:{3,4,7}:{(37,1),(38,1),(55,1),(89,1),(91,1)}
        64:{1,4,6,7}:{(38,1),(39,1),(50,1),(92,1),(93,1),(195,1),(212,1)}
        65:{1,4,6}:{(40,1),(51,1),(84,1),(87,1),(94,1)}
        66:{3,4,7}:{(40,1),(41,1),(85,1),(89,1),(94,1)}
        67:{2,4,6,7}:{(41,1),(42,1),(53,1),(95,1),(96,1),(209,1),(211,1)}
        68:{3,4}:{(43,1),(45,1)}
        69:{1,2,4,7}:{(43,1),(44,1),(99,1),(100,1),(213,1)}
        70:{1,2,3,6}:{(44,1),(47,1),(100,1),(104,1),(154,1)}
        71:{1,3,5}:{(45,1),(51,1),(87,1),(97,1),(101,1)}
        72:{2,3,5}:{(45,1),(48,1),(88,1),(98,1),(101,1)}
        73:{3,5,7}:{(45,1),(46,1),(89,1),(99,1),(104,1),(153,1),(210,1),(214,1)}
        74:{1,2,4,6}:{(46,1),(47,1),(50,1),(53,1),(104,1),(105,1),(106,1),(108,1),(154,1),(157,1)}
        75:{2,4,5,7}:{(48,1),(49,1),(91,1),(103,1),(106,1),(145,1),(183,1),(189,1)}
        76:{3,4,6}:{(49,1),(50,1),(104,1),(106,1),(107,1),(157,1)}
        77:{1,5,6}:{(50,1),(93,1),(107,1)}
        78:{1,4,5,7}:{(51,1),(52,1),(94,1),(102,1),(108,1),(147,1),(182,1),(188,1)}
        79:{3,4,6}:{(52,1),(53,1),(104,1),(108,1),(109,1),(157,1)}
        80:{2,5,6}:{(53,1),(96,1),(109,1)}
        81:{2,5,7}:{(54,1),(55,1),(91,1),(110,1)}
        82:{3,6,7}:{(55,1),(56,1),(110,1)}
        83:{1,5,6,7}:{(56,1),(93,1),(111,1),(195,1)}
        84:{1,5,6}:{(57,1),(65,1),(112,1)}
        85:{3,5,7}:{(57,1),(58,1),(66,1),(112,1),(113,1)}
        86:{2,4,6,7}:{(58,1),(113,1),(114,1),(162,1)}
        87:{1,3,6}:{(59,1),(65,1),(71,1),(115,1),(116,1)}
        88:{2,3,6}:{(59,1),(62,1),(72,1),(115,1),(117,1)}
        89:{3,7}:{(59,1),(60,1)}
        90:{1,2,4,6,7}:{(60,1),(61,1),(64,1),(67,1),(74,1),(118,1),(119,1),(120,1),(122,1),(163,1),(166,1),(197,1)}
        91:{2,4,7}:{(62,1),(63,1),(81,1),(117,1)}
        92:{3,4,6,7}:{(63,1),(64,1),(76,1),(82,1),(118,1),(120,1),(121,1),(138,1),(166,1),(179,1),(199,1)}
        93:{1,5,7}:{(64,1),(77,1),(121,1)}
        94:{1,4,7}:{(65,1),(66,1),(112,1),(116,1)}
        95:{3,4,6,7}:{(66,1),(67,1),(79,1),(113,1),(118,1),(122,1),(123,1),(162,1),(166,1),(196,1),(198,1)}
        96:{2,5,7}:{(67,1),(80,1),(123,1)}
        97:{1,3,4}:{(68,1),(71,1),(124,1)}
        98:{2,3,4}:{(68,1),(72,1),(124,1)}
        99:{3,4,7}:{(68,1),(69,1),(73,1),(127,1),(166,1),(221,1)}
       100:{1,2,4,6}:{(69,1),(70,1),(127,1),(128,1)}
       101:{1,2,5}:{(71,1),(72,1),(115,1),(124,1)}
       102:{1,3,5,7}:{(71,1),(73,1),(78,1),(116,1),(125,1),(129,1),(130,1),(171,1)}
       103:{2,3,5,7}:{(72,1),(73,1),(75,1),(117,1),(126,1),(129,1),(131,1),(172,1)}
       104:{3,6}:{(73,1),(74,1)}
       105:{1,2,5,6}:{(74,1),(77,1),(80,1),(119,1),(128,1),(132,1),(133,1),(135,1)}
       106:{2,4,6}:{(75,1),(76,1),(131,1),(133,1)}
       107:{3,5,6}:{(76,1),(77,1),(121,1),(133,1),(134,1)}
       108:{1,4,6}:{(78,1),(79,1),(130,1),(135,1)}
       109:{3,5,6}:{(79,1),(80,1),(123,1),(135,1),(136,1)}
       110:{2,6,7}:{(81,1),(82,1)}
       111:{3,5,6,7}:{(82,1),(83,1),(121,1),(137,1),(138,1),(179,1)}
       112:{1,5,7}:{(84,1),(85,1),(94,1),(139,1)}
       113:{3,6,7}:{(85,1),(86,1),(139,1)}
       114:{2,5,6,7}:{(86,1),(96,1),(140,1),(209,1)}
       115:{1,2,6}:{(87,1),(88,1),(101,1),(141,1)}
       116:{1,3,7}:{(87,1),(89,1),(94,1),(141,1)}
       117:{2,3,7}:{(88,1),(89,1),(91,1),(141,1)}
       118:{3,6,7}:{(89,1),(90,1),(104,1),(144,1),(210,1)}
       119:{1,2,5,7}:{(90,1),(93,1),(96,1),(105,1),(144,1),(145,1),(147,1)}
       120:{2,4,6,7}:{(91,1),(92,1),(106,1),(110,1),(143,1),(145,1),(183,1)}
       121:{3,5,7}:{(92,1),(93,1),(107,1),(145,1),(146,1)}
       122:{1,4,6,7}:{(94,1),(95,1),(108,1),(139,1),(142,1),(147,1),(182,1)}
       123:{3,5,7}:{(95,1),(96,1),(109,1),(147,1),(148,1)}
       124:{1,2,4}:{(97,1),(98,1),(101,1),(149,1)}
       125:{1,3,4,7}:{(97,1),(99,1),(102,1),(150,1),(151,1),(182,1),(210,1)}
       126:{2,3,4,7}:{(98,1),(99,1),(103,1),(150,1),(152,1),(183,1),(210,1)}
       127:{3,4,6}:{(99,1),(100,1),(104,1),(153,1),(157,1)}
       128:{1,2,5}:{(100,1),(153,1)}
       129:{1,2,5,7}:{(101,1),(102,1),(103,1),(141,1),(150,1),(154,1),(187,1)}
       130:{1,3,6}:{(102,1),(104,1),(108,1),(154,1)}
       131:{2,3,6}:{(103,1),(104,1),(106,1),(154,1)}
       132:{3,5,6}:{(104,1),(105,1),(144,1),(153,1),(157,1)}
       133:{2,5,6}:{(106,1),(107,1),(145,1)}
       134:{4,5,6}:{(107,1),(146,1),(157,1)}
       135:{1,5,6}:{(108,1),(109,1),(147,1)}
       136:{4,5,6}:{(109,1),(148,1),(157,1)}
       137:{2,5,6,7}:{(110,1),(111,1),(145,1),(160,1)}
       138:{4,6,7}:{(111,1),(146,1)}
       139:{1,6,7}:{(112,1),(113,1)}
       140:{3,5,6,7}:{(113,1),(114,1),(123,1),(161,1),(162,1),(196,1)}
       141:{1,2,7}:{(115,1),(116,1),(117,1)}
       142:{1,3,6,7}:{(116,1),(118,1),(122,1),(130,1),(163,1),(164,1),(196,1)}
       143:{2,3,6,7}:{(117,1),(118,1),(120,1),(131,1),(163,1),(165,1),(179,1)}
       144:{3,5,7}:{(118,1),(119,1),(132,1),(166,1)}
       145:{2,5,7}:{(120,1),(121,1),(133,1)}
       146:{4,5,7}:{(121,1),(134,1),(138,1),(166,1)}
       147:{1,5,7}:{(122,1),(123,1),(135,1)}
       148:{4,5,7}:{(123,1),(136,1),(162,1),(166,1)}
       149:{1,2,3}:{(124,1)}
       150:{1,2,4,7}:{(124,1),(125,1),(126,1),(129,1),(169,1),(170,1)}
       151:{1,3,4,6}:{(125,1),(127,1),(130,1),(170,1),(171,1),(175,1),(206,1),(221,1)}
       152:{2,3,4,6}:{(126,1),(127,1),(131,1),(170,1),(172,1),(176,1),(206,1),(221,1)}
       153:{3,5}:{(127,1),(128,1),(173,1)}
       154:{1,2,6}:{(129,1),(130,1),(131,1)}
       155:{1,3,5,6}:{(130,1),(132,1),(135,1),(164,1),(171,1),(174,1),(175,1),(178,1),(206,1)}
       156:{2,3,5,6}:{(131,1),(132,1),(133,1),(165,1),(172,1),(174,1),(176,1),(177,1),(206,1)}
       157:{4,6}:{(132,1),(166,1),(173,1)}
       158:{2,4,5,6}:{(133,1),(134,1),(167,1),(176,1),(177,1)}
       159:{1,4,5,6}:{(135,1),(136,1),(168,1),(175,1),(178,1)}
       160:{2,4,6,7}:{(137,1),(138,1),(167,1),(179,1)}
       161:{1,5,6,7}:{(139,1),(140,1),(147,1),(180,1)}
       162:{4,6,7}:{(140,1),(148,1)}
       163:{1,2,6,7}:{(141,1),(142,1),(143,1),(154,1),(181,1),(195,1),(209,1)}
       164:{1,3,5,7}:{(142,1),(144,1),(147,1),(155,1),(181,1),(182,1),(185,1),(210,1)}
       165:{2,3,5,7}:{(143,1),(144,1),(145,1),(156,1),(181,1),(183,1),(184,1),(210,1)}
       166:{4,7}:{(144,1),(157,1)}
       167:{2,4,5,7}:{(145,1),(146,1),(158,1),(160,1),(183,1),(184,1)}
       168:{1,4,5,7}:{(147,1),(148,1),(159,1),(180,1),(182,1),(185,1)}
       169:{1,2,3,7}:{(149,1),(150,1),(186,1),(210,1),(225,1)}
       170:{1,2,4,6}:{(150,1),(151,1),(152,1),(154,1),(186,1),(187,1),(213,1)}
       171:{1,3,5}:{(151,1),(153,1),(187,1),(188,1),(214,1)}
       172:{2,3,5}:{(152,1),(153,1),(187,1),(189,1),(214,1)}
       173:{4,5}:{(153,1),(157,1)}
       174:{1,2,5,6}:{(154,1),(155,1),(156,1),(181,1),(187,1),(190,1),(193,1),(194,1)}
       175:{1,4,6}:{(155,1),(157,1),(182,1),(188,1),(191,1)}
       176:{2,4,6}:{(156,1),(157,1),(183,1),(189,1),(192,1)}
       177:{3,5,6}:{(158,1),(184,1),(192,1),(193,1)}
       178:{3,5,6}:{(159,1),(185,1),(191,1),(194,1)}
       179:{3,6,7}:{(160,1),(184,1),(195,1)}
       180:{1,4,6,7}:{(161,1),(162,1),(168,1),(196,1)}
       181:{1,2,5,7}:{(163,1),(164,1),(165,1),(174,1),(197,1),(200,1),(201,1)}
       182:{1,4,7}:{(164,1),(166,1),(175,1),(198,1)}
       183:{2,4,7}:{(165,1),(166,1),(176,1),(199,1)}
       184:{3,5,7}:{(167,1),(177,1),(179,1),(199,1),(200,1)}
       185:{3,5,7}:{(168,1),(178,1),(196,1),(198,1),(201,1)}
       186:{1,2,3,6}:{(169,1),(170,1),(202,1),(206,1),(224,1)}
       187:{1,2,5}:{(170,1),(171,1),(172,1)}
       188:{1,4,5}:{(171,1),(173,1),(175,1),(204,1)}
       189:{2,4,5}:{(172,1),(173,1),(176,1),(205,1)}
       190:{1,2,4,6}:{(174,1),(175,1),(176,1),(197,1),(203,1),(206,1),(207,1),(208,1),(224,1)}
       191:{3,4,6}:{(175,1),(178,1),(198,1),(204,1),(206,1),(207,1)}
       192:{3,4,6}:{(176,1),(177,1),(199,1),(205,1),(206,1),(208,1)}
       193:{1,5,6}:{(177,1),(200,1),(208,1)}
       194:{2,5,6}:{(178,1),(201,1),(207,1)}
       195:{1,6,7}:{(179,1),(200,1)}
       196:{3,6,7}:{(180,1),(185,1),(209,1)}
       197:{1,2,4,7}:{(181,1),(182,1),(183,1),(190,1),(210,1),(211,1),(212,1),(225,1)}
       198:{3,4,7}:{(182,1),(185,1),(191,1),(210,1),(211,1)}
       199:{3,4,7}:{(183,1),(184,1),(192,1),(210,1),(212,1)}
       200:{1,5,7}:{(184,1),(193,1),(195,1),(212,1)}
       201:{2,5,7}:{(185,1),(194,1),(209,1),(211,1)}
       202:{1,2,3,5}:{(186,1),(187,1),(213,1),(214,1),(228,1),(230,1)}
       203:{1,2,4,5}:{(187,1),(188,1),(189,1),(190,1),(213,1),(214,1),(215,1),(216,1),(228,1)}
       204:{3,4,5}:{(188,1),(191,1),(214,1),(215,1)}
       205:{3,4,5}:{(189,1),(192,1),(214,1),(216,1)}
       206:{3,6}:{(190,1),(210,1),(214,1)}
       207:{2,4,6}:{(191,1),(194,1),(211,1),(215,1),(218,1)}
       208:{1,4,6}:{(192,1),(193,1),(212,1),(216,1),(217,1)}
       209:{2,6,7}:{(196,1),(201,1)}
       210:{3,7}:{(197,1),(206,1)}
       211:{2,4,7}:{(198,1),(201,1),(207,1),(220,1)}
       212:{1,4,7}:{(199,1),(200,1),(208,1),(219,1)}
       213:{1,2,4}:{(202,1),(221,1)}
       214:{3,5}:{(203,1),(206,1),(221,1)}
       215:{2,4,5}:{(204,1),(207,1),(223,1)}
       216:{1,4,5}:{(205,1),(208,1),(222,1)}
       217:{1,3,6}:{(206,1),(208,1),(219,1),(222,1),(224,1)}
       218:{2,3,6}:{(206,1),(207,1),(220,1),(223,1),(224,1)}
       219:{1,3,7}:{(210,1),(212,1),(217,1),(225,1)}
       220:{2,3,7}:{(210,1),(211,1),(218,1),(225,1)}
       221:{3,4}:{(213,1),(214,1)}
       222:{1,3,5}:{(214,1),(216,1),(217,1),(226,1),(228,1)}
       223:{2,3,5}:{(214,1),(215,1),(218,1),(227,1),(228,1)}
       224:{1,2,6}:{(217,1),(218,1),(225,1),(228,1)}
       225:{1,2,7}:{(219,1),(220,1),(224,1)}
       226:{1,3,4}:{(221,1),(222,1),(229,1)}
       227:{2,3,4}:{(221,1),(223,1),(229,1)}
       228:{1,2,5}:{(222,1),(223,1),(224,1),(229,1)}
       229:{1,2,4}:{(226,1),(227,1),(228,1),(230,1)}
       230:{1,2,3}:{(229,1)}

1102 :   0:{1,3,4,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1),(51,1),(55,1),(83,1),(90,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(69,1),(100,1),(104,1)}
         2:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(37,1),(71,1),(101,1)}
         3:{2,3,6,7}:{(1,1),(8,1),(29,1),(113,1),(117,1)}
         4:{1,2,5,7}:{(1,1),(2,1),(8,1),(9,1),(53,1),(114,1)}
         5:{1,3,5,6}:{(2,1),(9,1),(11,1),(29,1),(32,1)}
         6:{1,4,5,7}:{(2,1),(11,1),(12,1),(83,1),(86,1)}
         7:{1,3,5,6,7}:{(5,1),(13,1),(14,1),(36,1),(37,1),(67,1),(120,1)}
         8:{2,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(18,1),(125,1)}
         9:{1,2,5,6}:{(4,1),(5,1),(15,1),(17,1),(47,1),(71,1)}
        10:{1,2,4,5,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(21,1),(39,1),(41,1),(46,1),(71,1),(100,1),(102,1)}
        11:{1,4,6}:{(5,1),(6,1),(20,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(66,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(9,1),(22,1),(23,1),(53,1),(80,1),(85,1),(108,1)}
        14:{1,4,6,7}:{(7,1),(11,1),(24,1),(25,1),(83,1),(129,1)}
        15:{2,3,5,6}:{(8,1),(9,1),(26,1),(29,1),(54,1)}
        16:{2,4,7}:{(8,1),(26,1),(27,1),(132,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(11,1),(26,1),(29,1),(33,1),(55,1),(61,1)}
        18:{3,5,7}:{(10,1),(27,1),(29,1),(54,1),(113,1),(115,1)}
        19:{1,4,5,6}:{(11,1),(24,1),(32,1)}
        20:{3,4,6}:{(11,1),(12,1),(29,1),(32,1),(33,1)}
        21:{2,4,5,7}:{(12,1),(31,1),(33,1),(53,1),(84,1),(87,1)}
        22:{2,3,5,6,7}:{(13,1),(15,1),(34,1),(36,1),(63,1),(68,1),(94,1)}
        23:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(38,1),(64,1),(69,1),(100,1),(119,1)}
        24:{1,4,5,7}:{(14,1),(19,1),(37,1),(135,1)}
        25:{3,4,6,7}:{(14,1),(20,1),(36,1),(37,1),(38,1),(66,1),(134,1)}
        26:{2,4,6}:{(15,1),(16,1),(39,1),(40,1)}
        27:{3,4,7}:{(16,1),(18,1),(40,1),(41,1),(126,1)}
        28:{1,2,4,5,6}:{(17,1),(19,1),(35,1),(39,1),(43,1),(47,1),(62,1),(71,1),(75,1),(76,1),(77,1),(93,1),(102,1),(119,1),(135,1),(139,1)}
        29:{3,6}:{(17,1),(18,1)}
        30:{1,3,5,7}:{(18,1),(41,1),(44,1),(46,1),(71,1),(74,1),(103,1)}
        31:{2,3,5,7}:{(18,1),(21,1),(42,1),(45,1),(46,1),(72,1)}
        32:{3,5,6}:{(19,1),(20,1),(37,1),(47,1)}
        33:{2,4,6}:{(20,1),(21,1),(45,1),(47,1)}
        34:{2,4,6,7}:{(22,1),(26,1),(48,1),(49,1),(84,1),(107,1)}
        35:{1,2,4,5,7}:{(23,1),(24,1),(28,1),(48,1),(50,1),(53,1),(80,1),(83,1),(84,1),(85,1)}
        36:{3,6,7}:{(23,1),(29,1),(50,1),(113,1),(128,1)}
        37:{3,5,7}:{(24,1),(25,1),(32,1),(53,1),(138,1)}
        38:{2,4,6,7}:{(25,1),(33,1),(52,1),(53,1),(84,1),(137,1)}
        39:{2,4,5}:{(26,1),(54,1)}
        40:{3,4,6}:{(26,1),(27,1),(29,1),(54,1),(55,1)}
        41:{1,4,7}:{(27,1),(30,1),(55,1),(116,1)}
        42:{2,3,4,7}:{(27,1),(31,1),(56,1),(57,1),(84,1),(113,1)}
        43:{3,5,6}:{(28,1),(29,1),(50,1),(54,1),(58,1),(115,1),(128,1),(138,1)}
        44:{1,3,6}:{(29,1),(30,1),(55,1),(61,1)}
        45:{2,3,6}:{(29,1),(31,1),(33,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(57,1),(61,1),(88,1)}
        47:{2,5,6}:{(32,1),(33,1),(53,1)}
        48:{2,4,5,7}:{(34,1),(39,1),(62,1),(63,1)}
        49:{3,4,6,7}:{(34,1),(36,1),(40,1),(63,1),(64,1),(66,1),(92,1)}
        50:{3,5,7}:{(35,1),(36,1),(43,1),(66,1)}
        51:{1,3,6,7}:{(36,1),(44,1),(64,1),(67,1),(69,1),(118,1)}
        52:{2,3,6,7}:{(36,1),(38,1),(45,1),(68,1),(69,1),(133,1)}
        53:{2,5,7}:{(37,1),(38,1),(47,1),(139,1)}
        54:{3,5}:{(39,1),(40,1),(71,1)}
        55:{1,4,6}:{(40,1),(41,1),(44,1),(71,1)}
        56:{2,3,4,6}:{(40,1),(42,1),(45,1),(72,1),(73,1),(76,1),(105,1),(126,1)}
        57:{1,2,4,7}:{(41,1),(42,1),(46,1),(73,1),(74,1)}
        58:{3,4,6}:{(43,1),(66,1),(70,1),(75,1),(76,1),(105,1),(126,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(67,1),(71,1),(75,1),(77,1),(93,1),(101,1),(103,1),(105,1),(118,1)}
        60:{2,3,5,6}:{(43,1),(45,1),(47,1),(68,1),(72,1),(76,1),(77,1),(105,1),(125,1),(133,1),(139,1)}
        61:{1,2,6}:{(44,1),(45,1),(46,1)}
        62:{2,4,5,6}:{(48,1),(78,1),(107,1)}
        63:{3,5,7}:{(48,1),(49,1),(54,1),(78,1),(80,1)}
        64:{1,4,6,7}:{(49,1),(51,1),(55,1),(80,1),(83,1),(106,1)}
        65:{2,3,4,6,7}:{(49,1),(52,1),(56,1),(81,1),(82,1),(84,1),(107,1),(113,1),(128,1),(131,1),(137,1)}
        66:{3,4,7}:{(50,1),(58,1),(83,1),(84,1),(113,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(59,1),(80,1),(83,1),(85,1),(113,1)}
        68:{2,3,5,7}:{(50,1),(52,1),(53,1),(60,1),(84,1),(85,1),(113,1)}
        69:{1,2,6,7}:{(51,1),(52,1),(61,1),(85,1),(127,1)}
        70:{3,4,5}:{(54,1),(58,1),(86,1),(87,1),(115,1),(138,1)}
        71:{1,5}:{(54,1),(55,1)}
        72:{2,3,5}:{(54,1),(56,1),(87,1),(88,1),(115,1)}
        73:{1,2,4,6}:{(55,1),(56,1),(57,1),(61,1),(88,1),(89,1),(116,1)}
        74:{1,3,7}:{(57,1),(89,1),(113,1)}
        75:{1,4,6}:{(58,1),(59,1),(83,1),(86,1),(116,1)}
        76:{2,4,6}:{(58,1),(60,1),(84,1),(87,1),(132,1)}
        77:{1,2,5,6}:{(59,1),(60,1),(61,1),(85,1),(88,1),(91,1),(114,1),(127,1)}
        78:{3,5,6}:{(62,1),(63,1),(92,1),(93,1)}
        79:{3,4,5,7}:{(63,1),(66,1),(70,1),(92,1),(95,1),(96,1),(122,1)}
        80:{1,5,7}:{(63,1),(64,1),(71,1),(93,1)}
        81:{2,3,5,7}:{(63,1),(65,1),(72,1),(94,1),(96,1),(97,1),(122,1),(139,1)}
        82:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(73,1),(97,1),(98,1),(100,1),(119,1),(123,1)}
        83:{1,4,7}:{(66,1),(67,1),(75,1)}
        84:{2,4,7}:{(66,1),(68,1),(76,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(77,1),(100,1)}
        86:{1,4,5}:{(70,1),(71,1),(75,1),(101,1)}
        87:{2,4,5}:{(70,1),(72,1),(76,1),(139,1)}
        88:{1,2,5}:{(71,1),(72,1),(73,1),(103,1)}
        89:{1,3,6}:{(73,1),(74,1),(103,1),(105,1)}
        90:{1,3,4,6}:{(75,1),(99,1),(101,1),(104,1),(105,1),(118,1),(126,1),(134,1)}
        91:{1,2,4,6}:{(75,1),(76,1),(77,1),(100,1),(102,1),(105,1)}
        92:{3,4,6}:{(78,1),(79,1),(106,1),(107,1),(128,1)}
        93:{1,5,6}:{(78,1),(80,1),(106,1)}
        94:{2,3,5,6}:{(78,1),(81,1),(107,1),(108,1),(128,1)}
        95:{1,4,5,7}:{(79,1),(80,1),(83,1),(86,1),(106,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(81,1),(84,1),(87,1),(107,1)}
        97:{1,2,5,7}:{(80,1),(81,1),(82,1),(88,1),(108,1),(111,1)}
        98:{1,3,6,7}:{(82,1),(89,1),(111,1),(113,1),(128,1)}
        99:{1,3,4,7}:{(83,1),(90,1),(109,1),(112,1),(113,1),(131,1)}
       100:{1,2,4,7}:{(83,1),(84,1),(85,1),(91,1),(113,1)}
       101:{1,3,5}:{(86,1),(90,1),(114,1),(115,1),(138,1)}
       102:{1,2,4,5}:{(86,1),(87,1),(88,1),(91,1),(114,1),(115,1),(116,1),(132,1)}
       103:{1,3,5}:{(88,1),(89,1),(115,1),(116,1)}
       104:{1,2,4,6}:{(90,1),(112,1),(114,1),(117,1),(127,1),(132,1),(137,1)}
       105:{3,6}:{(91,1),(113,1),(115,1)}
       106:{1,4,6}:{(92,1),(93,1),(95,1),(118,1)}
       107:{2,4,6}:{(92,1),(94,1),(96,1)}
       108:{1,2,5,6}:{(93,1),(94,1),(97,1),(119,1),(120,1),(139,1)}
       109:{1,3,5,7}:{(95,1),(99,1),(101,1),(118,1),(121,1),(122,1)}
       110:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(100,1),(102,1),(119,1),(121,1),(122,1),(123,1),(135,1),(136,1),(139,1)}
       111:{1,3,5,7}:{(97,1),(98,1),(103,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,7}:{(99,1),(104,1),(121,1),(124,1),(136,1)}
       113:{3,7}:{(100,1),(105,1)}
       114:{1,2,5}:{(101,1),(104,1),(125,1),(139,1)}
       115:{3,5}:{(102,1),(105,1),(126,1)}
       116:{1,4}:{(103,1),(126,1)}
       117:{2,3,6}:{(104,1),(105,1),(124,1),(125,1)}
       118:{1,3,6}:{(106,1),(109,1),(127,1),(128,1)}
       119:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(127,1),(128,1),(129,1),(137,1)}
       120:{1,3,5,6}:{(108,1),(111,1),(128,1),(129,1),(138,1)}
       121:{1,2,5,7}:{(109,1),(112,1),(114,1),(127,1),(130,1)}
       122:{3,5,7}:{(110,1),(113,1),(115,1),(128,1),(131,1),(138,1)}
       123:{1,4,7}:{(111,1),(116,1),(129,1),(131,1)}
       124:{2,3,7}:{(112,1),(113,1),(117,1)}
       125:{2,3,5}:{(114,1),(115,1),(117,1),(132,1)}
       126:{3,4}:{(115,1),(116,1),(132,1)}
       127:{1,2,6}:{(118,1),(121,1),(133,1)}
       128:{3,6}:{(119,1),(122,1)}
       129:{1,4,6}:{(120,1),(123,1),(134,1),(135,1)}
       130:{2,3,5,7}:{(121,1),(122,1),(124,1),(125,1),(133,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(126,1),(134,1),(136,1)}
       132:{2,4}:{(125,1),(126,1)}
       133:{2,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{3,4,6}:{(128,1),(129,1),(131,1),(137,1),(138,1)}
       135:{1,4,5}:{(129,1),(138,1)}
       136:{2,4,7}:{(130,1),(131,1),(132,1),(137,1)}
       137:{2,4,6}:{(133,1),(134,1),(136,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1103 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(18,1),(32,1),(34,1),(43,1),(64,1),(76,1),(99,1),(108,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(20,1),(21,1),(30,1),(61,1),(94,1),(112,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(29,1),(80,1),(109,1)}
         3:{2,3,5,6,7}:{(6,1),(8,1),(9,1),(28,1),(29,1),(60,1),(116,1)}
         4:{1,3,6,7}:{(1,1),(10,1),(34,1),(108,1),(124,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(10,1),(11,1),(44,1),(121,1)}
         6:{2,3,5,6}:{(2,1),(11,1),(13,1),(34,1),(37,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(14,1),(76,1),(96,1)}
         8:{1,2,5,6,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(73,1),(77,1),(103,1)}
         9:{2,4,6,7}:{(3,1),(13,1),(17,1),(18,1),(76,1),(127,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(19,1),(20,1),(22,1),(130,1)}
        11:{1,2,5,6}:{(5,1),(6,1),(19,1),(21,1),(53,1),(80,1)}
        12:{1,2,4,5,7}:{(5,1),(7,1),(20,1),(21,1),(22,1),(25,1),(45,1),(48,1),(52,1),(80,1),(94,1),(110,1)}
        13:{2,4,6}:{(6,1),(7,1),(24,1)}
        14:{3,4,5,7}:{(7,1),(22,1),(24,1),(25,1),(29,1),(58,1),(78,1)}
        15:{1,3,5,6,7}:{(8,1),(19,1),(26,1),(28,1),(55,1),(59,1),(87,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(21,1),(26,1),(27,1),(28,1),(30,1),(57,1),(61,1),(94,1),(115,1)}
        17:{2,4,5,7}:{(9,1),(23,1),(29,1),(134,1)}
        18:{3,4,6,7}:{(9,1),(24,1),(28,1),(29,1),(30,1),(58,1),(133,1)}
        19:{1,3,5,6}:{(10,1),(11,1),(31,1),(34,1),(62,1)}
        20:{1,4,7}:{(10,1),(31,1),(32,1),(136,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(13,1),(31,1),(34,1),(38,1),(64,1),(69,1)}
        22:{3,5,7}:{(12,1),(32,1),(34,1),(62,1),(108,1),(122,1)}
        23:{2,4,5,6}:{(13,1),(17,1),(37,1)}
        24:{3,4,6}:{(13,1),(14,1),(34,1),(37,1),(38,1)}
        25:{1,4,5,7}:{(14,1),(35,1),(38,1),(44,1),(75,1),(95,1)}
        26:{1,4,6,7}:{(15,1),(31,1),(39,1),(40,1),(75,1),(101,1)}
        27:{1,2,4,5,7}:{(16,1),(17,1),(33,1),(39,1),(41,1),(44,1),(73,1),(75,1),(76,1),(77,1)}
        28:{3,6,7}:{(16,1),(34,1),(41,1),(108,1),(126,1)}
        29:{3,5,7}:{(17,1),(18,1),(37,1),(44,1),(138,1)}
        30:{1,4,6,7}:{(18,1),(38,1),(42,1),(44,1),(75,1),(137,1)}
        31:{1,4,6}:{(19,1),(20,1),(45,1),(46,1)}
        32:{3,4,7}:{(20,1),(22,1),(46,1),(48,1),(131,1)}
        33:{1,2,4,5,6}:{(21,1),(23,1),(27,1),(45,1),(49,1),(53,1),(54,1),(80,1),(83,1),(84,1),(85,1),(88,1),(110,1),(115,1),(134,1),(139,1)}
        34:{3,6}:{(21,1),(22,1)}
        35:{1,3,5,7}:{(22,1),(25,1),(47,1),(50,1),(52,1),(79,1)}
        36:{2,3,5,7}:{(22,1),(48,1),(51,1),(52,1),(80,1),(82,1),(111,1)}
        37:{3,5,6}:{(23,1),(24,1),(29,1),(53,1)}
        38:{1,4,6}:{(24,1),(25,1),(50,1),(53,1)}
        39:{1,4,5,7}:{(26,1),(45,1),(54,1),(55,1)}
        40:{3,4,6,7}:{(26,1),(28,1),(46,1),(55,1),(57,1),(58,1),(86,1)}
        41:{3,5,7}:{(27,1),(28,1),(49,1),(58,1)}
        42:{1,3,6,7}:{(28,1),(30,1),(50,1),(59,1),(61,1),(132,1)}
        43:{2,3,6,7}:{(28,1),(51,1),(57,1),(60,1),(61,1),(114,1)}
        44:{1,5,7}:{(29,1),(30,1),(53,1),(139,1)}
        45:{1,4,5}:{(31,1),(62,1)}
        46:{3,4,6}:{(31,1),(32,1),(34,1),(62,1),(64,1)}
        47:{1,3,4,7}:{(32,1),(35,1),(63,1),(65,1),(75,1),(108,1)}
        48:{2,4,7}:{(32,1),(36,1),(64,1),(123,1)}
        49:{3,5,6}:{(33,1),(34,1),(41,1),(62,1),(66,1),(122,1),(126,1),(138,1)}
        50:{1,3,6}:{(34,1),(35,1),(38,1),(69,1)}
        51:{2,3,6}:{(34,1),(36,1),(64,1),(69,1)}
        52:{1,2,5,7}:{(35,1),(36,1),(65,1),(69,1),(97,1)}
        53:{1,5,6}:{(37,1),(38,1),(44,1)}
        54:{1,4,5,6}:{(39,1),(70,1),(101,1)}
        55:{3,5,7}:{(39,1),(40,1),(62,1),(70,1),(73,1)}
        56:{1,3,4,6,7}:{(40,1),(42,1),(63,1),(72,1),(74,1),(75,1),(101,1),(108,1),(126,1),(129,1),(137,1)}
        57:{2,4,6,7}:{(40,1),(43,1),(64,1),(73,1),(76,1),(102,1)}
        58:{3,4,7}:{(41,1),(66,1),(75,1),(76,1),(108,1)}
        59:{1,3,5,7}:{(41,1),(42,1),(44,1),(67,1),(75,1),(77,1),(108,1)}
        60:{2,3,5,7}:{(41,1),(43,1),(68,1),(73,1),(76,1),(77,1),(108,1)}
        61:{1,2,6,7}:{(42,1),(43,1),(69,1),(77,1),(125,1)}
        62:{3,5}:{(45,1),(46,1),(80,1)}
        63:{1,3,4,6}:{(46,1),(47,1),(50,1),(79,1),(81,1),(83,1),(113,1),(131,1)}
        64:{2,4,6}:{(46,1),(48,1),(51,1),(80,1)}
        65:{1,2,4,7}:{(47,1),(48,1),(52,1),(81,1),(82,1)}
        66:{3,4,6}:{(49,1),(58,1),(78,1),(83,1),(84,1),(113,1),(131,1)}
        67:{1,3,5,6}:{(49,1),(50,1),(53,1),(59,1),(79,1),(83,1),(85,1),(113,1),(130,1),(132,1),(139,1)}
        68:{2,3,5,6}:{(49,1),(51,1),(60,1),(80,1),(84,1),(85,1),(88,1),(109,1),(111,1),(113,1),(114,1)}
        69:{1,2,6}:{(50,1),(51,1),(52,1)}
        70:{3,5,6}:{(54,1),(55,1),(86,1),(88,1)}
        71:{3,4,5,7}:{(55,1),(58,1),(78,1),(86,1),(89,1),(90,1),(118,1)}
        72:{1,3,5,7}:{(55,1),(56,1),(79,1),(87,1),(89,1),(91,1),(118,1),(139,1)}
        73:{2,5,7}:{(55,1),(57,1),(80,1),(88,1)}
        74:{1,2,4,6,7}:{(56,1),(57,1),(61,1),(81,1),(91,1),(92,1),(94,1),(115,1),(119,1)}
        75:{1,4,7}:{(58,1),(59,1),(83,1)}
        76:{2,4,7}:{(58,1),(60,1),(84,1)}
        77:{1,2,5,7}:{(59,1),(60,1),(61,1),(85,1),(94,1)}
        78:{3,4,5}:{(62,1),(66,1),(95,1),(96,1),(122,1),(138,1)}
        79:{1,3,5}:{(62,1),(63,1),(95,1),(97,1),(122,1)}
        80:{2,5}:{(62,1),(64,1)}
        81:{1,2,4,6}:{(63,1),(64,1),(65,1),(69,1),(97,1),(98,1),(123,1)}
        82:{2,3,7}:{(65,1),(98,1),(108,1)}
        83:{1,4,6}:{(66,1),(67,1),(75,1),(95,1),(136,1)}
        84:{2,4,6}:{(66,1),(68,1),(76,1),(96,1),(123,1)}
        85:{1,2,5,6}:{(67,1),(68,1),(69,1),(77,1),(97,1),(100,1),(121,1),(125,1)}
        86:{3,4,6}:{(70,1),(71,1),(101,1),(102,1),(126,1)}
        87:{1,3,5,6}:{(70,1),(72,1),(101,1),(103,1),(126,1)}
        88:{2,5,6}:{(70,1),(73,1),(102,1)}
        89:{1,4,5,7}:{(71,1),(72,1),(75,1),(95,1),(101,1)}
        90:{2,4,5,7}:{(71,1),(73,1),(76,1),(96,1),(102,1),(104,1)}
        91:{1,2,5,7}:{(72,1),(73,1),(74,1),(97,1),(103,1),(106,1)}
        92:{2,3,6,7}:{(74,1),(98,1),(106,1),(108,1),(126,1)}
        93:{2,3,4,7}:{(76,1),(99,1),(104,1),(107,1),(108,1),(129,1)}
        94:{1,2,4,7}:{(75,1),(76,1),(77,1),(100,1),(108,1)}
        95:{1,4,5}:{(78,1),(79,1),(83,1),(139,1)}
        96:{2,4,5}:{(78,1),(80,1),(84,1),(109,1)}
        97:{1,2,5}:{(79,1),(80,1),(81,1),(111,1)}
        98:{2,3,6}:{(81,1),(82,1),(111,1),(113,1)}
        99:{2,3,4,6}:{(84,1),(93,1),(109,1),(112,1),(113,1),(114,1),(131,1),(133,1)}
       100:{1,2,4,6}:{(83,1),(84,1),(85,1),(94,1),(110,1),(113,1)}
       101:{1,4,6}:{(86,1),(87,1),(89,1)}
       102:{2,4,6}:{(86,1),(88,1),(90,1),(114,1)}
       103:{1,2,5,6}:{(87,1),(88,1),(91,1),(115,1),(116,1),(139,1)}
       104:{2,3,5,7}:{(90,1),(93,1),(109,1),(114,1),(117,1),(118,1)}
       105:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(110,1),(115,1),(117,1),(118,1),(119,1),(134,1),(135,1),(139,1)}
       106:{2,3,5,7}:{(91,1),(92,1),(111,1),(116,1),(118,1),(119,1)}
       107:{1,2,4,7}:{(93,1),(112,1),(117,1),(120,1),(135,1)}
       108:{3,7}:{(94,1),(113,1)}
       109:{2,3,5}:{(96,1),(99,1),(121,1),(122,1),(138,1)}
       110:{1,2,4,5}:{(95,1),(96,1),(97,1),(100,1),(121,1),(122,1),(123,1),(136,1)}
       111:{2,3,5}:{(97,1),(98,1),(122,1),(123,1)}
       112:{1,2,4,6}:{(99,1),(107,1),(121,1),(124,1),(125,1),(136,1),(137,1)}
       113:{3,6}:{(100,1),(108,1),(122,1)}
       114:{2,3,6}:{(102,1),(104,1),(125,1),(126,1)}
       115:{1,2,4,6}:{(101,1),(102,1),(103,1),(105,1),(125,1),(126,1),(127,1),(137,1)}
       116:{2,3,5,6}:{(103,1),(106,1),(126,1),(127,1),(138,1)}
       117:{1,2,5,7}:{(104,1),(107,1),(121,1),(125,1),(128,1)}
       118:{3,5,7}:{(105,1),(108,1),(122,1),(126,1),(129,1),(138,1)}
       119:{2,4,7}:{(106,1),(123,1),(127,1),(129,1)}
       120:{1,3,7}:{(107,1),(108,1),(124,1)}
       121:{1,2,5}:{(109,1),(112,1),(130,1),(139,1)}
       122:{3,5}:{(110,1),(113,1),(131,1)}
       123:{2,4}:{(111,1),(131,1)}
       124:{1,3,6}:{(112,1),(113,1),(120,1),(130,1)}
       125:{1,2,6}:{(114,1),(117,1),(132,1)}
       126:{3,6}:{(115,1),(118,1)}
       127:{2,4,6}:{(116,1),(119,1),(133,1),(134,1)}
       128:{1,3,5,7}:{(117,1),(118,1),(120,1),(130,1),(132,1),(135,1),(139,1)}
       129:{3,4,7}:{(118,1),(119,1),(131,1),(133,1),(135,1)}
       130:{1,3,5}:{(121,1),(122,1),(124,1),(136,1)}
       131:{3,4}:{(122,1),(123,1),(136,1)}
       132:{1,3,6}:{(125,1),(126,1),(128,1),(137,1)}
       133:{3,4,6}:{(126,1),(127,1),(129,1),(137,1),(138,1)}
       134:{2,4,5}:{(127,1),(138,1)}
       135:{1,4,7}:{(128,1),(129,1),(136,1),(137,1)}
       136:{1,4}:{(130,1),(131,1)}
       137:{1,4,6}:{(132,1),(133,1),(135,1),(139,1)}
       138:{3,5}:{(133,1),(134,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

1104 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(75,1),(76,1),(78,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(14,1),(39,1),(40,1),(41,1),(44,1),(46,1),(78,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(24,1),(82,1),(83,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(57,1),(58,1),(62,1),(64,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(49,1),(50,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(15,1),(33,1),(41,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(12,1),(94,1),(95,1)}
         7:{1,2,4,5}:{(4,1),(14,1),(35,1),(36,1),(44,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(15,1),(67,1),(68,1)}
         9:{3,4,6}:{(4,1),(14,1),(15,1),(41,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,4,5,6}:{(7,1),(22,1),(23,1),(24,1),(49,1),(50,1),(51,1),(59,1),(86,1),(87,1)}
        12:{1,2,5,6}:{(6,1),(18,1),(24,1),(86,1),(87,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(24,1),(25,1),(53,1),(54,1),(62,1)}
        14:{3,5}:{(7,1),(9,1)}
        15:{3,4,7}:{(8,1),(9,1),(25,1)}
        16:{1,3,4,6}:{(9,1),(26,1),(28,1),(30,1),(49,1),(60,1),(85,1),(90,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(29,1),(30,1),(50,1),(61,1),(85,1),(90,1),(105,1)}
        18:{3,5,6}:{(10,1),(12,1),(33,1),(41,1)}
        19:{4,5,7}:{(10,1),(33,1)}
        20:{3,4,5}:{(14,1),(32,1),(35,1),(36,1),(74,1)}
        21:{1,2,5,6,7}:{(12,1),(31,1),(37,1),(94,1),(95,1)}
        22:{1,2,4,5,7}:{(11,1),(37,1),(38,1),(65,1),(67,1),(68,1),(77,1),(94,1),(95,1)}
        23:{3,5,6}:{(11,1),(14,1),(32,1),(38,1),(41,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(33,1),(41,1),(71,1),(72,1),(78,1)}
        25:{3,5,7}:{(13,1),(14,1),(15,1),(41,1)}
        26:{1,3,5}:{(14,1),(16,1),(35,1),(44,1),(74,1),(109,1)}
        27:{2,3,5}:{(14,1),(17,1),(36,1),(44,1),(74,1),(109,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(42,1),(45,1),(67,1),(97,1),(100,1)}
        29:{2,3,4,7}:{(15,1),(17,1),(43,1),(45,1),(68,1),(97,1),(100,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(44,1),(45,1),(46,1),(78,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(47,1),(56,1),(81,1)}
        32:{3,4,6}:{(20,1),(23,1),(48,1),(49,1),(50,1),(85,1)}
        33:{4,6}:{(18,1),(19,1)}
        34:{3,4,5,7}:{(19,1),(20,1),(25,1),(48,1),(52,1),(53,1),(54,1),(81,1),(89,1),(110,1),(111,1)}
        35:{1,4,5}:{(20,1),(26,1),(49,1),(111,1)}
        36:{2,4,5}:{(20,1),(27,1),(50,1),(111,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(24,1),(47,1),(56,1),(82,1),(83,1),(91,1)}
        38:{3,5,7}:{(22,1),(23,1),(48,1),(56,1)}
        39:{1,3,5,6}:{(23,1),(26,1),(49,1),(57,1),(59,1),(60,1),(85,1),(86,1),(104,1)}
        40:{2,3,5,6}:{(23,1),(27,1),(50,1),(58,1),(59,1),(61,1),(85,1),(87,1),(104,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(28,1),(53,1),(60,1),(62,1),(89,1)}
        43:{2,3,5,7}:{(25,1),(27,1),(29,1),(54,1),(61,1),(62,1),(89,1)}
        44:{1,2,5}:{(26,1),(27,1),(30,1)}
        45:{1,2,4,7}:{(28,1),(29,1),(30,1),(62,1),(64,1)}
        46:{1,2,3,6}:{(30,1),(63,1),(64,1),(85,1)}
        47:{4,6,7}:{(31,1),(33,1),(65,1)}
        48:{3,4,7}:{(32,1),(38,1),(67,1),(68,1),(97,1)}
        49:{1,4,6}:{(32,1),(35,1),(39,1),(67,1),(108,1)}
        50:{2,4,6}:{(32,1),(36,1),(40,1),(68,1),(108,1)}
        51:{4,5,6}:{(33,1),(65,1),(70,1),(108,1)}
        52:{3,4,6}:{(33,1),(34,1),(41,1),(70,1),(71,1),(72,1),(99,1),(108,1)}
        53:{1,4,5,7}:{(34,1),(35,1),(42,1),(67,1),(71,1),(94,1)}
        54:{2,4,5,7}:{(34,1),(36,1),(43,1),(68,1),(72,1),(95,1)}
        55:{1,2,4,5}:{(35,1),(36,1),(44,1),(69,1),(74,1),(80,1)}
        56:{3,6,7}:{(37,1),(38,1),(41,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(67,1),(75,1),(77,1),(94,1),(97,1),(107,1)}
        58:{2,3,5,7}:{(38,1),(40,1),(68,1),(76,1),(77,1),(95,1),(97,1),(107,1)}
        59:{1,2,5,6}:{(39,1),(40,1),(44,1),(69,1),(77,1),(78,1)}
        60:{1,3,6}:{(41,1),(42,1),(71,1),(78,1),(99,1)}
        61:{2,3,6}:{(41,1),(43,1),(72,1),(78,1),(99,1)}
        62:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(78,1)}
        63:{1,2,3,5}:{(44,1),(46,1),(74,1),(80,1)}
        64:{1,2,3,7}:{(45,1),(46,1),(97,1)}
        65:{4,5,7}:{(47,1),(51,1),(81,1),(110,1)}
        66:{3,4,6,7}:{(47,1),(48,1),(52,1),(56,1),(81,1),(82,1),(83,1),(103,1),(110,1)}
        67:{1,4,7}:{(48,1),(49,1),(57,1),(110,1)}
        68:{2,4,7}:{(48,1),(50,1),(58,1),(110,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(55,1),(59,1),(84,1),(85,1)}
        70:{3,5,6}:{(51,1),(52,1),(81,1),(86,1),(87,1)}
        71:{1,4,6}:{(52,1),(53,1),(60,1),(86,1)}
        72:{2,4,6}:{(52,1),(54,1),(61,1),(87,1)}
        73:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(62,1),(84,1),(88,1),(89,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        74:{3,5}:{(55,1),(85,1),(90,1)}
        75:{1,3,6,7}:{(56,1),(57,1),(60,1),(82,1),(91,1),(103,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(61,1),(83,1),(91,1),(103,1)}
        77:{1,2,5,7}:{(57,1),(58,1),(59,1),(84,1),(91,1)}
        78:{1,2,6}:{(60,1),(61,1),(62,1)}
        79:{1,2,3,5,7}:{(62,1),(63,1),(64,1),(89,1),(92,1),(93,1),(106,1)}
        80:{1,2,4}:{(63,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(70,1),(94,1),(95,1)}
        82:{1,4,6,7}:{(66,1),(67,1),(71,1),(75,1),(94,1)}
        83:{2,4,6,7}:{(66,1),(68,1),(72,1),(76,1),(95,1)}
        84:{1,2,4,7}:{(67,1),(68,1),(69,1),(77,1),(97,1)}
        85:{3,6}:{(69,1),(74,1),(97,1)}
        86:{1,5,6}:{(70,1),(71,1),(94,1)}
        87:{2,5,6}:{(70,1),(72,1),(95,1)}
        88:{1,2,4,6}:{(71,1),(72,1),(73,1),(78,1),(98,1),(99,1),(108,1)}
        89:{3,5,7}:{(73,1),(74,1),(97,1),(99,1),(100,1),(109,1)}
        90:{3,4}:{(74,1),(80,1)}
        91:{1,2,6,7}:{(75,1),(76,1),(77,1),(78,1)}
        92:{1,2,3,6}:{(78,1),(79,1),(99,1),(101,1)}
        93:{1,2,4,7}:{(79,1),(80,1),(100,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(86,1)}
        95:{2,5,7}:{(81,1),(83,1),(87,1)}
        96:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(88,1),(91,1),(102,1),(103,1),(110,1)}
        97:{3,7}:{(84,1),(85,1)}
        98:{1,2,5,6}:{(86,1),(87,1),(88,1),(102,1),(104,1),(106,1)}
        99:{3,6}:{(88,1),(89,1)}
       100:{3,4,7}:{(89,1),(90,1),(93,1),(105,1),(110,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(98,1),(107,1)}
       103:{3,6,7}:{(96,1),(97,1),(99,1),(107,1)}
       104:{3,5,6}:{(98,1),(99,1),(107,1),(108,1),(109,1)}
       105:{3,4,6}:{(99,1),(100,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(104,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1105 :   0:{1,3,5,6,7}:{(2,1),(3,1),(13,1),(14,1),(36,1),(42,1),(80,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(13,1),(17,1),(40,1),(43,1),(77,1)}
         2:{1,2,5,6,7}:{(0,1),(1,1),(5,1),(28,1),(31,1),(58,1),(61,1),(64,1)}
         3:{1,4,6,7}:{(0,1),(6,1),(7,1),(56,1),(62,1),(100,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(9,1),(60,1),(63,1),(97,1)}
         5:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(12,1),(13,1),(16,1),(18,1),(44,1),(76,1),(79,1),(83,1)}
         6:{1,4,5,7}:{(3,1),(10,1),(14,1),(119,1)}
         7:{3,4,6,7}:{(3,1),(13,1),(14,1),(16,1),(35,1),(41,1),(118,1)}
         8:{2,4,5,7}:{(4,1),(11,1),(17,1),(116,1)}
         9:{3,4,6,7}:{(4,1),(13,1),(17,1),(18,1),(38,1),(41,1),(115,1)}
        10:{1,4,5,6}:{(6,1),(21,1),(56,1)}
        11:{2,4,5,6}:{(8,1),(22,1),(60,1)}
        12:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(20,1),(23,1),(28,1),(31,1),(62,1),(63,1),(64,1)}
        13:{3,6,7}:{(5,1),(23,1),(96,1),(99,1),(103,1)}
        14:{3,5,7}:{(6,1),(7,1),(21,1),(28,1),(132,1)}
        15:{1,3,4,6,7}:{(7,1),(24,1),(27,1),(29,1),(56,1),(62,1),(92,1),(96,1),(103,1),(105,1),(129,1)}
        16:{2,4,6,7}:{(7,1),(25,1),(28,1),(57,1),(63,1),(131,1)}
        17:{3,5,7}:{(8,1),(9,1),(22,1),(31,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(24,1),(31,1),(59,1),(62,1),(129,1)}
        19:{2,3,4,6,7}:{(9,1),(25,1),(32,1),(33,1),(60,1),(63,1),(93,1),(99,1),(103,1),(107,1),(131,1)}
        20:{1,2,4,5,6}:{(10,1),(11,1),(12,1),(34,1),(37,1),(39,1),(72,1),(73,1),(74,1),(76,1),(79,1),(110,1),(116,1),(119,1),(136,1),(137,1)}
        21:{3,5,6}:{(10,1),(14,1),(35,1),(37,1)}
        22:{3,5,6}:{(11,1),(17,1),(38,1),(39,1)}
        23:{3,5,7}:{(12,1),(13,1),(34,1),(41,1)}
        24:{1,3,6,7}:{(13,1),(18,1),(42,1),(44,1),(78,1),(114,1)}
        25:{2,3,6,7}:{(13,1),(16,1),(43,1),(44,1),(75,1),(117,1)}
        26:{3,4,5,7}:{(14,1),(35,1),(41,1),(45,1),(46,1),(71,1),(85,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(36,1),(45,1),(47,1),(85,1),(108,1),(136,1)}
        28:{2,5,7}:{(14,1),(16,1),(37,1),(137,1)}
        29:{1,2,4,6,7}:{(15,1),(16,1),(44,1),(47,1),(48,1),(76,1),(83,1),(86,1),(111,1)}
        30:{3,4,5,7}:{(17,1),(38,1),(41,1),(49,1),(50,1),(71,1),(88,1)}
        31:{1,5,7}:{(17,1),(18,1),(39,1),(136,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(40,1),(50,1),(51,1),(88,1),(109,1),(137,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(44,1),(51,1),(52,1),(79,1),(83,1),(89,1),(112,1)}
        34:{3,5,6}:{(20,1),(23,1),(53,1),(96,1),(99,1),(126,1),(130,1),(132,1)}
        35:{3,4,6}:{(21,1),(26,1),(56,1),(57,1),(96,1)}
        36:{1,3,5,6}:{(21,1),(27,1),(56,1),(58,1),(96,1)}
        37:{2,5,6}:{(21,1),(28,1),(57,1)}
        38:{3,4,6}:{(22,1),(30,1),(59,1),(60,1),(99,1)}
        39:{1,5,6}:{(22,1),(31,1),(59,1)}
        40:{2,3,5,6}:{(22,1),(32,1),(60,1),(61,1),(99,1)}
        41:{3,4,7}:{(23,1),(53,1),(62,1),(63,1),(103,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(31,1),(54,1),(62,1),(64,1),(103,1)}
        43:{2,3,5,7}:{(23,1),(25,1),(28,1),(55,1),(63,1),(64,1),(103,1)}
        44:{1,2,6,7}:{(24,1),(25,1),(64,1),(95,1),(98,1)}
        45:{1,4,5,7}:{(26,1),(27,1),(56,1),(62,1),(90,1)}
        46:{2,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(65,1),(91,1)}
        47:{1,2,5,7}:{(27,1),(28,1),(29,1),(58,1),(67,1),(124,1)}
        48:{2,3,6,7}:{(29,1),(67,1),(96,1),(103,1),(127,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(59,1),(62,1),(68,1),(90,1)}
        50:{2,4,5,7}:{(30,1),(32,1),(60,1),(63,1),(91,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(61,1),(70,1),(125,1)}
        52:{1,3,6,7}:{(33,1),(70,1),(99,1),(103,1),(128,1)}
        53:{3,4,6}:{(34,1),(41,1),(71,1),(72,1),(73,1),(113,1),(135,1)}
        54:{1,3,5,6}:{(34,1),(39,1),(42,1),(72,1),(74,1),(78,1),(108,1),(113,1),(114,1),(134,1),(136,1)}
        55:{2,3,5,6}:{(34,1),(37,1),(43,1),(73,1),(74,1),(75,1),(109,1),(113,1),(117,1),(133,1),(137,1)}
        56:{1,4,6}:{(35,1),(36,1),(45,1)}
        57:{2,4,6}:{(35,1),(37,1),(46,1),(75,1)}
        58:{1,2,5,6}:{(36,1),(37,1),(47,1),(76,1),(77,1),(136,1)}
        59:{1,4,6}:{(38,1),(39,1),(49,1),(78,1)}
        60:{2,4,6}:{(38,1),(40,1),(50,1)}
        61:{1,2,5,6}:{(39,1),(40,1),(51,1),(79,1),(80,1),(137,1)}
        62:{1,4,7}:{(41,1),(42,1),(72,1)}
        63:{2,4,7}:{(41,1),(43,1),(73,1)}
        64:{1,2,5,7}:{(42,1),(43,1),(44,1),(74,1),(83,1)}
        65:{2,3,5,7}:{(46,1),(75,1),(82,1),(84,1),(85,1),(109,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(76,1),(83,1),(84,1),(85,1),(86,1),(110,1),(116,1),(122,1),(136,1)}
        67:{2,3,5,7}:{(47,1),(48,1),(77,1),(85,1),(86,1),(133,1)}
        68:{1,3,5,7}:{(49,1),(78,1),(81,1),(87,1),(88,1),(108,1)}
        69:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(79,1),(83,1),(87,1),(88,1),(89,1),(110,1),(119,1),(123,1),(137,1)}
        70:{1,3,5,7}:{(51,1),(52,1),(80,1),(88,1),(89,1),(134,1)}
        71:{3,4,5}:{(53,1),(90,1),(91,1),(126,1),(130,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(62,1),(90,1),(139,1)}
        73:{2,4,6}:{(53,1),(55,1),(63,1),(91,1),(138,1)}
        74:{1,2,5,6}:{(54,1),(55,1),(64,1),(94,1),(95,1),(98,1),(124,1),(125,1)}
        75:{2,3,6}:{(57,1),(65,1),(95,1),(96,1)}
        76:{1,2,4,6}:{(56,1),(57,1),(58,1),(66,1),(95,1),(96,1),(97,1),(129,1)}
        77:{2,3,5,6}:{(58,1),(67,1),(96,1),(97,1),(130,1)}
        78:{1,3,6}:{(59,1),(68,1),(98,1),(99,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(69,1),(98,1),(99,1),(100,1),(131,1)}
        80:{1,3,5,6}:{(61,1),(70,1),(99,1),(100,1),(132,1)}
        81:{1,3,4,7}:{(62,1),(68,1),(92,1),(101,1),(103,1),(107,1)}
        82:{2,3,4,7}:{(63,1),(65,1),(93,1),(102,1),(103,1),(105,1)}
        83:{1,2,4,7}:{(62,1),(63,1),(64,1),(94,1),(103,1)}
        84:{1,2,5,7}:{(65,1),(95,1),(102,1),(104,1),(125,1)}
        85:{3,5,7}:{(66,1),(96,1),(103,1),(105,1),(126,1),(130,1)}
        86:{2,4,7}:{(67,1),(97,1),(105,1),(138,1)}
        87:{1,2,5,7}:{(68,1),(98,1),(101,1),(106,1),(124,1)}
        88:{3,5,7}:{(69,1),(99,1),(103,1),(107,1),(126,1),(132,1)}
        89:{1,4,7}:{(70,1),(100,1),(107,1),(139,1)}
        90:{1,4,5}:{(71,1),(72,1),(108,1),(136,1)}
        91:{2,4,5}:{(71,1),(73,1),(109,1),(137,1)}
        92:{1,3,4,6}:{(72,1),(78,1),(81,1),(108,1),(111,1),(113,1),(118,1),(135,1)}
        93:{2,3,4,6}:{(73,1),(75,1),(82,1),(109,1),(112,1),(113,1),(115,1),(135,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(83,1),(110,1),(113,1)}
        95:{1,2,6}:{(75,1),(84,1),(114,1)}
        96:{3,6}:{(76,1),(85,1)}
        97:{2,4,6}:{(77,1),(86,1),(115,1),(116,1)}
        98:{1,2,6}:{(78,1),(87,1),(117,1)}
        99:{3,6}:{(79,1),(88,1)}
       100:{1,4,6}:{(80,1),(89,1),(118,1),(119,1)}
       101:{1,2,4,7}:{(81,1),(87,1),(111,1),(120,1),(123,1)}
       102:{1,2,4,7}:{(82,1),(84,1),(112,1),(121,1),(122,1)}
       103:{3,7}:{(83,1),(113,1)}
       104:{1,3,5,7}:{(84,1),(85,1),(114,1),(121,1),(122,1),(134,1),(136,1)}
       105:{3,4,7}:{(85,1),(86,1),(115,1),(122,1),(135,1)}
       106:{2,3,5,7}:{(87,1),(88,1),(117,1),(120,1),(123,1),(133,1),(137,1)}
       107:{3,4,7}:{(88,1),(89,1),(118,1),(123,1),(135,1)}
       108:{1,3,5}:{(90,1),(92,1),(124,1),(126,1),(132,1)}
       109:{2,3,5}:{(91,1),(93,1),(125,1),(126,1),(130,1)}
       110:{1,2,4,5}:{(90,1),(91,1),(94,1),(124,1),(125,1),(126,1),(138,1),(139,1)}
       111:{1,2,4,6}:{(92,1),(98,1),(101,1),(124,1),(127,1),(131,1),(138,1)}
       112:{1,2,4,6}:{(93,1),(95,1),(102,1),(125,1),(128,1),(129,1),(139,1)}
       113:{3,6}:{(94,1),(103,1),(126,1)}
       114:{1,3,6}:{(95,1),(96,1),(104,1),(129,1)}
       115:{3,4,6}:{(96,1),(97,1),(105,1),(129,1),(130,1)}
       116:{2,4,5}:{(97,1),(130,1)}
       117:{2,3,6}:{(98,1),(99,1),(106,1),(131,1)}
       118:{3,4,6}:{(99,1),(100,1),(107,1),(131,1),(132,1)}
       119:{1,4,5}:{(100,1),(132,1)}
       120:{2,3,7}:{(101,1),(103,1),(127,1)}
       121:{1,3,7}:{(102,1),(103,1),(128,1)}
       122:{1,4,7}:{(104,1),(105,1),(129,1),(139,1)}
       123:{2,4,7}:{(106,1),(107,1),(131,1),(138,1)}
       124:{1,2,5}:{(108,1),(111,1),(133,1),(137,1)}
       125:{1,2,5}:{(109,1),(112,1),(134,1),(136,1)}
       126:{3,5}:{(110,1),(113,1),(135,1)}
       127:{2,3,6}:{(111,1),(113,1),(120,1),(133,1)}
       128:{1,3,6}:{(112,1),(113,1),(121,1),(134,1)}
       129:{1,4,6}:{(114,1),(115,1),(122,1),(136,1)}
       130:{3,5}:{(115,1),(116,1),(136,1)}
       131:{2,4,6}:{(117,1),(118,1),(123,1),(137,1)}
       132:{3,5}:{(118,1),(119,1),(137,1)}
       133:{2,3,5}:{(124,1),(126,1),(127,1),(138,1)}
       134:{1,3,5}:{(125,1),(126,1),(128,1),(139,1)}
       135:{3,4}:{(126,1),(138,1),(139,1)}
       136:{1,5}:{(129,1),(130,1)}
       137:{2,5}:{(131,1),(132,1)}
       138:{2,4}:{(133,1),(135,1)}
       139:{1,4}:{(134,1),(135,1)}

1106 :   0:{1,2,3,5,6}:{(1,1),(2,1),(7,1),(10,1),(35,1),(37,1),(39,1),(42,1),(45,1),(78,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(50,1),(52,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(18,1),(24,1),(28,1),(57,1),(58,1),(60,1)}
         3:{3,4,6}:{(1,1),(10,1),(11,1),(42,1)}
         4:{1,2,4,5}:{(1,1),(10,1),(31,1),(32,1),(35,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(71,1),(73,1)}
         6:{1,2,3,6,7}:{(2,1),(14,1),(42,1),(78,1),(79,1),(80,1)}
         7:{1,2,3,6}:{(15,1),(17,1),(18,1),(83,1)}
         8:{2,3,4,6}:{(3,1),(17,1),(19,1),(20,1),(46,1),(50,1),(59,1),(83,1),(85,1)}
         9:{1,3,4,6}:{(3,1),(17,1),(21,1),(22,1),(46,1),(52,1),(61,1),(83,1),(85,1)}
        10:{3,5}:{(3,1),(4,1)}
        11:{3,4,7}:{(3,1),(5,1),(24,1)}
        12:{1,2,4,5,6}:{(4,1),(23,1),(26,1),(27,1),(50,1),(52,1),(56,1),(90,1),(92,1),(94,1)}
        13:{1,2,4,5,7}:{(4,1),(5,1),(24,1),(27,1),(28,1),(51,1),(53,1),(57,1),(64,1)}
        14:{1,2,4,6,7}:{(5,1),(6,1),(25,1),(27,1),(28,1),(89,1),(91,1)}
        15:{1,2,3,5}:{(7,1),(29,1),(35,1),(66,1)}
        16:{3,4,5}:{(10,1),(31,1),(32,1),(33,1),(66,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(9,1),(29,1),(35,1),(36,1),(78,1)}
        18:{1,2,3,7}:{(7,1),(36,1),(97,1)}
        19:{2,3,5}:{(8,1),(10,1),(31,1),(35,1),(66,1),(99,1)}
        20:{2,3,4,7}:{(8,1),(11,1),(36,1),(38,1),(67,1),(71,1),(97,1)}
        21:{1,3,5}:{(9,1),(10,1),(32,1),(35,1),(66,1),(99,1)}
        22:{1,3,4,7}:{(9,1),(11,1),(36,1),(40,1),(67,1),(73,1),(97,1)}
        23:{3,5,6}:{(10,1),(12,1),(33,1),(41,1),(42,1)}
        24:{3,5,7}:{(10,1),(11,1),(13,1),(42,1)}
        25:{3,4,6,7}:{(11,1),(14,1),(42,1),(43,1),(82,1)}
        26:{1,2,4,5,7}:{(12,1),(41,1),(44,1),(71,1),(73,1),(77,1),(102,1),(103,1),(104,1)}
        27:{1,2,4,6}:{(13,1),(42,1),(45,1),(72,1),(74,1),(78,1),(82,1)}
        28:{1,2,5,7}:{(14,1),(43,1),(45,1),(102,1),(103,1)}
        29:{1,2,4}:{(15,1),(46,1)}
        30:{1,2,3,5,7}:{(15,1),(18,1),(48,1),(49,1),(57,1),(84,1),(88,1)}
        31:{2,4,5}:{(16,1),(19,1),(50,1),(107,1)}
        32:{1,4,5}:{(16,1),(21,1),(52,1),(107,1)}
        33:{3,4,6}:{(16,1),(23,1),(50,1),(52,1),(54,1),(83,1)}
        34:{3,4,5,7}:{(16,1),(24,1),(51,1),(53,1),(54,1),(55,1),(64,1),(84,1),(93,1),(107,1),(111,1)}
        35:{1,2,5}:{(17,1),(19,1),(21,1)}
        36:{1,2,4,7}:{(17,1),(18,1),(20,1),(22,1),(57,1)}
        37:{2,3,5,6}:{(19,1),(23,1),(50,1),(56,1),(58,1),(59,1),(83,1),(90,1),(106,1)}
        38:{2,3,5,7}:{(19,1),(20,1),(24,1),(51,1),(57,1),(59,1),(84,1)}
        39:{1,3,5,6}:{(21,1),(23,1),(52,1),(56,1),(60,1),(61,1),(83,1),(92,1),(106,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(24,1),(53,1),(57,1),(61,1),(84,1)}
        41:{3,5,7}:{(23,1),(26,1),(54,1),(62,1)}
        42:{3,6}:{(24,1),(27,1)}
        43:{3,5,7}:{(25,1),(28,1),(63,1),(64,1)}
        44:{1,2,4,6,7}:{(26,1),(27,1),(62,1),(65,1),(89,1),(91,1),(95,1),(96,1)}
        45:{1,2,5,6}:{(27,1),(28,1),(63,1),(90,1),(92,1)}
        46:{3,4}:{(29,1),(66,1)}
        47:{1,2,4,5}:{(29,1),(31,1),(32,1),(35,1),(66,1),(68,1)}
        48:{1,2,4,7}:{(29,1),(30,1),(67,1),(70,1)}
        49:{1,2,3,6}:{(30,1),(70,1),(78,1),(98,1)}
        50:{2,4,6}:{(31,1),(33,1),(37,1),(71,1),(110,1)}
        51:{2,4,5,7}:{(31,1),(34,1),(38,1),(71,1),(72,1),(102,1)}
        52:{1,4,6}:{(32,1),(33,1),(39,1),(73,1),(110,1)}
        53:{1,4,5,7}:{(32,1),(34,1),(40,1),(73,1),(74,1),(103,1)}
        54:{3,4,7}:{(33,1),(41,1),(71,1),(73,1),(97,1)}
        55:{3,4,6}:{(34,1),(42,1),(72,1),(74,1),(76,1),(82,1),(98,1),(110,1)}
        56:{1,2,5,6}:{(35,1),(37,1),(39,1),(68,1),(77,1),(78,1)}
        57:{1,2,5,7}:{(35,1),(36,1),(38,1),(40,1),(78,1)}
        58:{2,3,5,7}:{(37,1),(41,1),(71,1),(77,1),(79,1),(97,1),(102,1),(109,1)}
        59:{2,3,6}:{(38,1),(42,1),(72,1),(78,1),(98,1)}
        60:{1,3,5,7}:{(39,1),(41,1),(73,1),(77,1),(80,1),(97,1),(103,1),(109,1)}
        61:{1,3,6}:{(40,1),(42,1),(74,1),(78,1),(98,1)}
        62:{3,6,7}:{(41,1),(42,1),(44,1)}
        63:{3,5,6}:{(42,1),(43,1),(45,1),(82,1)}
        64:{4,5,7}:{(43,1),(82,1)}
        65:{1,2,5,6,7}:{(44,1),(45,1),(81,1),(102,1),(103,1)}
        66:{3,5}:{(46,1),(47,1),(83,1)}
        67:{3,4,7}:{(46,1),(48,1),(84,1),(85,1),(111,1)}
        68:{1,2,4,6}:{(47,1),(50,1),(52,1),(56,1),(83,1),(86,1)}
        69:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(53,1),(57,1),(84,1),(86,1),(87,1),(88,1),(107,1),(108,1),(111,1)}
        70:{1,2,4,6}:{(48,1),(49,1),(85,1),(88,1)}
        71:{2,4,7}:{(50,1),(54,1),(58,1),(111,1)}
        72:{2,4,6}:{(51,1),(55,1),(59,1),(90,1)}
        73:{1,4,7}:{(52,1),(54,1),(60,1),(111,1)}
        74:{1,4,6}:{(53,1),(55,1),(61,1),(92,1)}
        75:{3,4,6,7}:{(54,1),(55,1),(62,1),(89,1),(91,1),(93,1),(96,1),(105,1),(111,1)}
        76:{3,5,6}:{(55,1),(90,1),(92,1),(93,1),(94,1)}
        77:{1,2,5,7}:{(56,1),(58,1),(60,1),(86,1),(95,1)}
        78:{1,2,6}:{(57,1),(59,1),(61,1)}
        79:{2,3,6,7}:{(58,1),(59,1),(62,1),(89,1),(95,1),(105,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(62,1),(91,1),(95,1),(105,1)}
        81:{3,5,6,7}:{(62,1),(63,1),(65,1),(93,1),(96,1)}
        82:{4,6}:{(63,1),(64,1)}
        83:{3,6}:{(66,1),(68,1),(97,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(97,1),(98,1),(99,1)}
        85:{3,4,6}:{(67,1),(70,1),(98,1),(99,1),(110,1)}
        86:{1,2,4,7}:{(68,1),(71,1),(73,1),(77,1),(97,1)}
        87:{1,2,4,6}:{(69,1),(72,1),(74,1),(78,1),(98,1),(101,1),(110,1)}
        88:{1,2,5}:{(70,1),(99,1)}
        89:{2,4,6,7}:{(71,1),(72,1),(75,1),(79,1),(102,1)}
        90:{2,5,6}:{(72,1),(76,1),(102,1)}
        91:{1,4,6,7}:{(73,1),(74,1),(75,1),(80,1),(103,1)}
        92:{1,5,6}:{(74,1),(76,1),(103,1)}
        93:{3,5,7}:{(75,1),(76,1),(102,1),(103,1),(104,1)}
        94:{4,5,6}:{(76,1),(82,1),(104,1),(110,1)}
        95:{1,2,6,7}:{(77,1),(78,1),(79,1),(80,1)}
        96:{4,6,7}:{(81,1),(82,1),(104,1)}
        97:{3,7}:{(83,1),(86,1)}
        98:{3,6}:{(84,1),(87,1)}
        99:{3,5}:{(85,1),(88,1),(107,1)}
       100:{1,2,4,6,7}:{(86,1),(87,1),(89,1),(91,1),(95,1),(105,1),(108,1),(111,1)}
       101:{1,2,5,6}:{(87,1),(88,1),(90,1),(92,1),(106,1),(108,1)}
       102:{2,5,7}:{(89,1),(90,1),(93,1)}
       103:{1,5,7}:{(91,1),(92,1),(93,1)}
       104:{4,5,7}:{(93,1),(94,1),(96,1),(111,1)}
       105:{3,6,7}:{(97,1),(98,1),(100,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(101,1),(109,1),(110,1)}
       107:{4,5}:{(99,1),(110,1)}
       108:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(109,1)}
       109:{3,5,7}:{(105,1),(106,1),(108,1),(111,1)}
       110:{4,6}:{(106,1),(107,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1107 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(20,1),(51,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(32,1),(66,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(46,1),(81,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(18,1),(23,1),(45,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(19,1),(23,1),(44,1),(83,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(61,1),(101,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(60,1),(100,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(30,1),(31,1),(103,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(41,1),(81,1),(150,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(21,1),(23,1),(37,1),(46,1)}
        13:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(23,1),(38,1),(46,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(23,1),(122,1)}
        15:{1,2,3,5,6,7}:{(8,1),(23,1),(24,1),(44,1),(45,1),(47,1),(50,1),(70,1),(82,1),(83,1),(84,1),(125,1),(157,1),(169,1),(171,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(25,1),(101,1),(158,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(26,1),(100,1),(161,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(25,1),(30,1),(32,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(26,1),(31,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(32,1),(60,1),(61,1)}
        21:{1,2,4,6,7}:{(12,1),(30,1),(33,1),(52,1),(60,1)}
        22:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(53,1),(61,1)}
        23:{3,6,7}:{(14,1),(32,1),(142,1)}
        24:{1,2,4,6,7}:{(15,1),(35,1),(36,1),(60,1),(61,1),(90,1),(100,1),(101,1),(173,1),(174,1)}
        25:{1,3,5,6}:{(16,1),(18,1),(37,1),(39,1),(41,1),(144,1)}
        26:{2,3,5,6}:{(17,1),(19,1),(38,1),(40,1),(41,1),(147,1)}
        27:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(39,1),(40,1),(41,1),(71,1),(72,1),(111,1),(122,1)}
        28:{1,3,4,5,7}:{(18,1),(37,1),(42,1),(46,1),(73,1),(80,1),(115,1),(121,1),(144,1)}
        29:{2,3,4,5,7}:{(19,1),(38,1),(43,1),(46,1),(73,1),(79,1),(118,1),(121,1),(147,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(39,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(40,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(41,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(68,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(69,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(50,1),(81,1),(110,1),(157,1),(172,1)}
        36:{1,2,4,5,7}:{(24,1),(50,1),(51,1),(79,1),(80,1),(82,1),(111,1)}
        37:{1,3,4,6}:{(25,1),(28,1),(52,1),(56,1),(101,1),(142,1)}
        38:{2,3,4,6}:{(26,1),(29,1),(53,1),(56,1),(100,1),(142,1)}
        39:{1,2,5,6}:{(25,1),(30,1),(52,1),(54,1),(127,1)}
        40:{1,2,5,6}:{(26,1),(31,1),(53,1),(55,1),(130,1)}
        41:{3,5,6}:{(27,1),(32,1),(56,1),(132,1),(142,1)}
        42:{1,2,4,5,7}:{(28,1),(30,1),(52,1),(57,1),(60,1),(91,1),(94,1),(127,1)}
        43:{1,2,4,5,7}:{(29,1),(31,1),(53,1),(58,1),(61,1),(92,1),(96,1),(130,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(54,1),(60,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(55,1),(61,1)}
        46:{3,4,7}:{(32,1),(56,1),(60,1),(61,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(59,1),(63,1),(86,1),(88,1),(142,1),(166,1),(167,1)}
        48:{2,3,4,6,7}:{(33,1),(35,1),(60,1),(63,1),(64,1),(87,1),(98,1),(100,1),(129,1),(142,1),(167,1),(174,1)}
        49:{1,3,4,6,7}:{(34,1),(35,1),(61,1),(63,1),(65,1),(89,1),(98,1),(101,1),(126,1),(142,1),(166,1),(173,1)}
        50:{3,5,7}:{(35,1),(36,1),(66,1),(132,1)}
        51:{1,2,4,5,6}:{(36,1),(66,1),(100,1),(101,1),(103,1)}
        52:{1,2,4,6}:{(37,1),(39,1),(42,1),(68,1),(71,1)}
        53:{1,2,4,6}:{(38,1),(40,1),(43,1),(69,1),(72,1)}
        54:{2,3,5,6}:{(39,1),(41,1),(44,1),(68,1),(71,1),(107,1)}
        55:{1,3,5,6}:{(40,1),(41,1),(45,1),(69,1),(72,1),(109,1)}
        56:{3,4,6}:{(41,1),(46,1),(71,1),(72,1),(73,1)}
        57:{2,3,5,7}:{(42,1),(68,1),(75,1),(107,1),(121,1)}
        58:{1,3,5,7}:{(43,1),(69,1),(77,1),(109,1),(121,1)}
        59:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(70,1),(78,1),(82,1),(121,1),(169,1),(171,1)}
        60:{2,4,7}:{(44,1),(46,1),(71,1)}
        61:{1,4,7}:{(45,1),(46,1),(72,1)}
        62:{3,4,5,7}:{(46,1),(50,1),(73,1),(79,1),(80,1),(81,1),(121,1),(150,1),(172,1)}
        63:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(78,1),(82,1),(106,1),(108,1),(122,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(79,1),(82,1),(83,1),(107,1),(121,1),(147,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(80,1),(82,1),(84,1),(109,1),(121,1),(144,1)}
        66:{3,5,6}:{(50,1),(51,1),(81,1)}
        67:{1,2,4,5,6,7}:{(51,1),(85,1),(123,1),(124,1),(125,1),(152,1)}
        68:{2,3,6}:{(52,1),(57,1),(142,1)}
        69:{1,3,6}:{(53,1),(58,1),(142,1)}
        70:{1,2,3,5,6}:{(54,1),(55,1),(59,1),(86,1),(88,1),(90,1),(103,1),(127,1),(130,1),(132,1),(142,1),(159,1),(162,1)}
        71:{2,4,6}:{(54,1),(56,1),(60,1),(91,1)}
        72:{1,4,6}:{(55,1),(56,1),(61,1),(92,1)}
        73:{3,4,5}:{(56,1),(91,1),(92,1),(132,1)}
        74:{1,2,3,5,7}:{(57,1),(86,1),(94,1),(127,1),(136,1)}
        75:{2,3,4,7}:{(57,1),(60,1),(87,1),(94,1),(98,1)}
        76:{1,2,3,5,7}:{(58,1),(88,1),(96,1),(130,1),(139,1)}
        77:{1,3,4,7}:{(58,1),(61,1),(89,1),(96,1),(98,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(61,1),(90,1),(98,1),(173,1),(174,1)}
        79:{2,4,5,7}:{(60,1),(62,1),(64,1),(91,1),(100,1),(161,1),(174,1)}
        80:{1,4,5,7}:{(61,1),(62,1),(65,1),(92,1),(101,1),(158,1),(173,1)}
        81:{3,4,6}:{(62,1),(66,1),(100,1),(101,1),(142,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(65,1),(103,1),(127,1),(130,1)}
        83:{2,3,5,6}:{(64,1),(66,1),(100,1),(103,1),(142,1)}
        84:{1,3,5,6}:{(65,1),(66,1),(101,1),(103,1),(142,1)}
        85:{3,5,6,7}:{(66,1),(67,1),(102,1),(165,1)}
        86:{1,2,3,6}:{(68,1),(74,1),(106,1),(153,1)}
        87:{2,3,4,6}:{(68,1),(71,1),(75,1),(106,1),(107,1),(110,1)}
        88:{1,2,3,6}:{(69,1),(76,1),(108,1),(155,1)}
        89:{1,3,4,6}:{(69,1),(72,1),(77,1),(108,1),(109,1),(110,1)}
        90:{1,2,4,6}:{(70,1),(71,1),(72,1),(78,1),(110,1),(111,1),(168,1),(170,1)}
        91:{2,4,5}:{(71,1),(73,1),(107,1)}
        92:{1,4,5}:{(72,1),(73,1),(109,1)}
        93:{3,4,5,6}:{(73,1),(81,1),(112,1),(113,1),(114,1),(151,1)}
        94:{1,2,4,7}:{(74,1),(75,1),(106,1),(115,1)}
        95:{2,3,4,5,7}:{(75,1),(79,1),(107,1),(116,1),(117,1),(121,1),(146,1),(150,1),(172,1)}
        96:{1,2,4,7}:{(76,1),(77,1),(108,1),(118,1)}
        97:{1,3,4,5,7}:{(77,1),(80,1),(109,1),(119,1),(120,1),(121,1),(149,1),(150,1),(172,1)}
        98:{3,4,7}:{(78,1),(110,1),(121,1)}
        99:{1,2,4,5,7}:{(78,1),(79,1),(80,1),(82,1),(111,1),(121,1),(122,1)}
       100:{2,4,6}:{(79,1),(81,1),(83,1)}
       101:{1,4,6}:{(80,1),(81,1),(84,1)}
       102:{3,4,6,7}:{(81,1),(85,1),(114,1),(123,1),(124,1),(157,1),(172,1)}
       103:{1,2,5,6}:{(82,1),(83,1),(84,1),(122,1)}
       104:{2,3,5,6,7}:{(83,1),(85,1),(123,1),(125,1),(146,1),(157,1),(171,1)}
       105:{1,3,5,6,7}:{(84,1),(85,1),(124,1),(125,1),(149,1),(157,1),(169,1)}
       106:{1,2,4,6}:{(86,1),(87,1),(94,1),(126,1),(127,1)}
       107:{2,3,5}:{(87,1),(91,1),(127,1),(132,1)}
       108:{1,2,4,6}:{(88,1),(89,1),(96,1),(129,1),(130,1)}
       109:{1,3,5}:{(89,1),(92,1),(130,1),(132,1)}
       110:{3,4,6}:{(90,1),(98,1),(132,1),(142,1)}
       111:{1,2,4,5}:{(90,1),(91,1),(92,1),(127,1),(130,1),(132,1),(158,1),(161,1)}
       112:{2,4,5,6}:{(91,1),(93,1),(100,1),(128,1),(134,1)}
       113:{1,4,5,6}:{(92,1),(93,1),(101,1),(131,1),(135,1)}
       114:{3,4,5,7}:{(93,1),(102,1),(134,1),(135,1),(165,1)}
       115:{1,3,4,7}:{(94,1),(98,1),(126,1),(136,1),(173,1)}
       116:{1,2,4,5,7}:{(94,1),(95,1),(127,1),(136,1),(137,1),(158,1),(160,1),(173,1)}
       117:{2,3,4,6}:{(95,1),(100,1),(128,1),(137,1),(142,1),(164,1)}
       118:{2,3,4,7}:{(96,1),(98,1),(129,1),(139,1),(174,1)}
       119:{1,2,4,5,7}:{(96,1),(97,1),(130,1),(139,1),(140,1),(161,1),(163,1),(174,1)}
       120:{1,3,4,6}:{(97,1),(101,1),(131,1),(140,1),(142,1),(164,1)}
       121:{3,5,7}:{(98,1),(99,1),(132,1),(142,1)}
       122:{1,2,4,6}:{(99,1),(100,1),(101,1),(103,1),(142,1)}
       123:{2,4,6,7}:{(100,1),(102,1),(104,1),(134,1),(174,1)}
       124:{1,4,6,7}:{(101,1),(102,1),(105,1),(135,1),(173,1)}
       125:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(143,1),(160,1),(163,1)}
       126:{1,3,4,6}:{(106,1),(110,1),(115,1),(144,1),(153,1),(168,1)}
       127:{1,2,5}:{(106,1),(107,1),(144,1)}
       128:{2,3,5,6}:{(107,1),(112,1),(117,1),(145,1),(146,1),(151,1)}
       129:{2,3,4,6}:{(108,1),(110,1),(118,1),(147,1),(155,1),(170,1)}
       130:{1,2,5}:{(108,1),(109,1),(147,1)}
       131:{1,3,5,6}:{(109,1),(113,1),(120,1),(148,1),(149,1),(151,1)}
       132:{3,5}:{(110,1),(111,1)}
       133:{1,2,4,5,6}:{(111,1),(112,1),(113,1),(122,1),(145,1),(148,1),(151,1),(152,1),(168,1),(170,1)}
       134:{2,4,5,7}:{(112,1),(114,1),(123,1),(146,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(124,1),(149,1)}
       136:{1,3,5,7}:{(115,1),(116,1),(121,1),(144,1),(153,1)}
       137:{1,2,4,6}:{(116,1),(117,1),(145,1),(153,1),(168,1)}
       138:{2,3,4,6,7}:{(117,1),(123,1),(146,1),(154,1),(157,1),(172,1)}
       139:{2,3,5,7}:{(118,1),(119,1),(121,1),(147,1),(155,1)}
       140:{1,2,4,6}:{(119,1),(120,1),(148,1),(155,1),(170,1)}
       141:{1,3,4,6,7}:{(120,1),(124,1),(149,1),(156,1),(157,1),(172,1)}
       142:{3,6}:{(121,1),(122,1)}
       143:{1,2,4,6,7}:{(122,1),(123,1),(124,1),(125,1),(152,1),(157,1)}
       144:{1,3,5}:{(126,1),(127,1),(132,1),(158,1)}
       145:{1,2,5,6}:{(127,1),(128,1),(137,1),(159,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(134,1),(138,1),(160,1),(165,1)}
       147:{2,3,5}:{(129,1),(130,1),(132,1),(161,1)}
       148:{1,2,5,6}:{(130,1),(131,1),(140,1),(162,1),(163,1)}
       149:{1,3,5,7}:{(131,1),(135,1),(141,1),(163,1),(165,1)}
       150:{3,4,5}:{(132,1),(158,1),(161,1),(164,1)}
       151:{3,5,6}:{(132,1),(133,1),(142,1),(164,1),(165,1)}
       152:{1,2,4,5,7}:{(133,1),(134,1),(135,1),(143,1),(160,1),(163,1),(165,1),(173,1),(174,1)}
       153:{1,3,6}:{(136,1),(137,1),(142,1)}
       154:{1,2,4,6,7}:{(137,1),(138,1),(160,1),(166,1),(173,1)}
       155:{2,3,6}:{(139,1),(140,1),(142,1)}
       156:{1,2,4,6,7}:{(140,1),(141,1),(163,1),(167,1),(174,1)}
       157:{3,6,7}:{(142,1),(143,1),(165,1)}
       158:{1,4,5}:{(144,1),(150,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(151,1),(153,1),(168,1),(169,1)}
       160:{1,2,5,7}:{(145,1),(146,1),(154,1),(169,1)}
       161:{2,4,5}:{(147,1),(150,1),(170,1)}
       162:{2,3,5,6}:{(147,1),(148,1),(151,1),(155,1),(170,1),(171,1)}
       163:{1,2,5,7}:{(148,1),(149,1),(156,1),(171,1)}
       164:{3,4,6}:{(150,1),(151,1),(168,1),(170,1),(172,1)}
       165:{3,5,7}:{(151,1),(152,1),(157,1),(172,1)}
       166:{1,3,6,7}:{(153,1),(154,1),(157,1),(169,1)}
       167:{2,3,6,7}:{(155,1),(156,1),(157,1),(171,1)}
       168:{1,4,6}:{(158,1),(159,1),(164,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(165,1),(166,1),(173,1)}
       170:{2,4,6}:{(161,1),(162,1),(164,1),(174,1)}
       171:{2,3,5,7}:{(162,1),(163,1),(165,1),(167,1),(174,1)}
       172:{3,4,7}:{(164,1),(165,1),(173,1),(174,1)}
       173:{1,4,7}:{(168,1),(169,1),(172,1)}
       174:{2,4,7}:{(170,1),(171,1),(172,1)}

1108 :   0:{1,2,3,6,7}:{(2,1),(3,1),(40,1),(77,1),(78,1),(79,1),(80,1),(104,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(38,1),(40,1),(46,1),(79,1),(96,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(7,1),(8,1),(24,1),(57,1),(65,1),(84,1),(93,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(25,1),(61,1),(62,1),(89,1),(90,1),(92,1)}
         4:{2,3,5,7}:{(1,1),(7,1),(9,1),(10,1),(25,1),(56,1),(63,1)}
         5:{1,3,4,6,7}:{(2,1),(11,1),(15,1),(33,1),(37,1),(40,1),(68,1),(78,1),(95,1),(104,1)}
         6:{1,2,3,5,6}:{(3,1),(12,1),(13,1),(36,1),(40,1),(74,1),(75,1),(76,1),(77,1),(80,1)}
         7:{1,2,5,7}:{(2,1),(4,1),(11,1),(13,1),(76,1),(81,1),(94,1)}
         8:{1,2,4,7}:{(3,1),(12,1),(15,1),(95,1),(96,1),(100,1)}
         9:{2,3,5,6}:{(4,1),(13,1),(17,1),(40,1),(45,1)}
        10:{2,4,5,7}:{(4,1),(17,1),(18,1),(72,1),(96,1)}
        11:{1,3,5,7}:{(5,1),(7,1),(19,1),(20,1),(25,1),(55,1),(82,1)}
        12:{1,2,4,6}:{(6,1),(8,1),(21,1),(22,1),(86,1),(87,1)}
        13:{1,2,5,6}:{(7,1),(9,1),(19,1),(24,1),(64,1),(83,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(10,1),(20,1),(21,1),(24,1),(25,1),(31,1),(51,1),(61,1),(88,1),(101,1)}
        15:{3,4,7}:{(8,1),(22,1),(25,1),(103,1)}
        16:{2,3,5,6,7}:{(9,1),(23,1),(29,1),(58,1),(63,1),(90,1)}
        17:{2,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(25,1),(30,1),(31,1),(52,1),(63,1),(85,1)}
        19:{1,3,5,6}:{(11,1),(13,1),(33,1),(40,1),(67,1)}
        20:{1,4,5,7}:{(11,1),(33,1),(34,1),(71,1),(95,1)}
        21:{1,2,4,5}:{(12,1),(36,1),(71,1),(72,1),(76,1)}
        22:{3,4,6}:{(12,1),(15,1),(36,1),(40,1)}
        23:{1,2,5,6,7}:{(13,1),(16,1),(32,1),(39,1),(81,1),(94,1),(99,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(17,1),(33,1),(40,1),(47,1),(69,1),(80,1)}
        25:{3,5,7}:{(14,1),(15,1),(36,1),(40,1),(98,1),(104,1)}
        26:{1,3,4,7}:{(15,1),(37,1),(41,1),(43,1),(95,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(38,1),(42,1),(43,1),(96,1),(104,1)}
        28:{2,4,5,6}:{(17,1),(44,1),(45,1)}
        29:{2,4,6,7}:{(16,1),(17,1),(44,1),(46,1),(96,1)}
        30:{3,4,6}:{(17,1),(18,1),(40,1),(45,1),(47,1)}
        31:{1,4,5,7}:{(18,1),(41,1),(47,1),(71,1),(81,1),(95,1)}
        32:{1,3,5,6,7}:{(19,1),(23,1),(49,1),(58,1),(82,1),(89,1)}
        33:{1,4,6}:{(19,1),(20,1),(50,1)}
        34:{3,4,5,7}:{(20,1),(25,1),(50,1),(51,1),(52,1),(82,1),(85,1)}
        35:{1,2,4,5,6}:{(21,1),(24,1),(28,1),(48,1),(53,1),(54,1),(64,1),(83,1),(86,1),(87,1),(91,1)}
        36:{3,5}:{(21,1),(22,1)}
        37:{1,3,4,6}:{(22,1),(26,1),(55,1),(57,1),(59,1),(86,1),(102,1),(103,1)}
        38:{2,3,4,6}:{(22,1),(27,1),(56,1),(57,1),(60,1),(87,1),(102,1),(103,1)}
        39:{1,2,4,6,7}:{(23,1),(24,1),(29,1),(49,1),(53,1),(58,1),(65,1),(84,1),(93,1),(101,1)}
        40:{3,6}:{(24,1),(25,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(31,1),(55,1),(59,1),(61,1)}
        42:{2,3,5,7}:{(25,1),(27,1),(51,1),(56,1),(60,1),(61,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(57,1),(61,1),(62,1)}
        44:{2,4,5,7}:{(28,1),(29,1),(63,1)}
        45:{3,5,6}:{(28,1),(30,1),(63,1),(64,1)}
        46:{3,4,6,7}:{(29,1),(30,1),(58,1),(63,1),(65,1),(85,1)}
        47:{1,4,6}:{(30,1),(31,1),(59,1),(64,1)}
        48:{1,4,5,6}:{(33,1),(66,1),(67,1)}
        49:{1,4,6,7}:{(32,1),(33,1),(66,1),(68,1),(95,1)}
        50:{3,4,6}:{(33,1),(34,1),(40,1),(67,1),(69,1)}
        51:{2,4,5,7}:{(34,1),(42,1),(69,1),(72,1),(94,1),(96,1)}
        52:{3,4,5}:{(36,1),(70,1),(71,1),(72,1),(98,1)}
        53:{1,2,4,5,7}:{(35,1),(39,1),(44,1),(66,1),(73,1),(81,1),(94,1),(95,1),(96,1),(99,1)}
        54:{3,5,6}:{(35,1),(36,1),(40,1),(70,1),(73,1)}
        55:{1,3,5}:{(36,1),(37,1),(71,1),(76,1),(98,1)}
        56:{2,3,5}:{(36,1),(38,1),(72,1),(76,1),(98,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(43,1),(76,1),(77,1),(80,1),(100,1)}
        58:{3,6,7}:{(39,1),(40,1),(73,1),(104,1)}
        59:{1,3,6}:{(40,1),(41,1),(47,1),(80,1)}
        60:{2,3,6}:{(40,1),(42,1),(69,1),(80,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(43,1),(76,1),(80,1)}
        62:{1,2,3,7}:{(43,1),(77,1),(104,1)}
        63:{3,5,7}:{(44,1),(45,1),(46,1),(81,1)}
        64:{1,5,6}:{(45,1),(47,1),(81,1)}
        65:{1,4,6,7}:{(46,1),(47,1),(78,1),(81,1),(95,1)}
        66:{1,4,5,7}:{(48,1),(49,1),(82,1)}
        67:{3,5,6}:{(48,1),(50,1),(82,1),(83,1)}
        68:{3,4,6,7}:{(49,1),(50,1),(58,1),(82,1),(84,1),(85,1)}
        69:{2,4,6}:{(50,1),(51,1),(60,1),(83,1)}
        70:{3,4,6}:{(52,1),(54,1),(85,1),(86,1),(87,1),(102,1)}
        71:{1,4,5}:{(52,1),(55,1),(86,1)}
        72:{2,4,5}:{(52,1),(56,1),(87,1)}
        73:{3,5,7}:{(53,1),(54,1),(58,1),(85,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(59,1),(64,1),(86,1),(89,1),(91,1),(102,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(60,1),(83,1),(87,1),(90,1),(91,1),(102,1)}
        76:{1,2,5}:{(55,1),(56,1),(57,1)}
        77:{1,2,3,6}:{(57,1),(62,1),(92,1),(102,1)}
        78:{1,3,6,7}:{(58,1),(59,1),(65,1),(89,1),(93,1)}
        79:{2,3,6,7}:{(58,1),(60,1),(84,1),(90,1),(93,1)}
        80:{1,2,6}:{(59,1),(60,1),(61,1)}
        81:{1,5,7}:{(63,1),(64,1),(65,1)}
        82:{3,5,7}:{(66,1),(67,1),(68,1),(94,1)}
        83:{2,5,6}:{(67,1),(69,1),(94,1)}
        84:{2,4,6,7}:{(68,1),(69,1),(79,1),(94,1),(96,1)}
        85:{3,4,7}:{(70,1),(73,1),(95,1),(96,1),(104,1)}
        86:{1,4,6}:{(70,1),(71,1),(74,1),(95,1)}
        87:{2,4,6}:{(70,1),(72,1),(75,1),(96,1)}
        88:{1,2,4,5}:{(71,1),(72,1),(76,1),(97,1),(98,1),(100,1)}
        89:{1,3,5,7}:{(73,1),(74,1),(78,1),(81,1),(95,1),(99,1),(104,1)}
        90:{2,3,5,7}:{(73,1),(75,1),(79,1),(94,1),(96,1),(99,1),(104,1)}
        91:{1,2,5,6}:{(74,1),(75,1),(76,1),(80,1),(97,1),(99,1)}
        92:{1,2,3,5}:{(76,1),(77,1),(98,1),(100,1)}
        93:{1,2,6,7}:{(78,1),(79,1),(80,1),(99,1)}
        94:{2,5,7}:{(82,1),(83,1),(84,1)}
        95:{1,4,7}:{(85,1),(86,1),(89,1)}
        96:{2,4,7}:{(85,1),(87,1),(90,1)}
        97:{1,2,4,6}:{(86,1),(87,1),(88,1),(91,1),(101,1),(102,1)}
        98:{3,5}:{(88,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(89,1),(90,1),(91,1),(93,1),(101,1)}
       100:{1,2,4}:{(92,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1109 :   0:{2,3,4,5,7}:{(1,1),(2,1),(15,1),(31,1),(75,1),(90,1),(92,1),(133,1),(146,1),(154,1)}
         1:{1,2,4,5,7}:{(0,1),(4,1),(5,1),(21,1),(26,1),(59,1),(63,1),(65,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(7,1),(66,1),(161,1),(174,1),(181,1)}
         3:{1,3,4,5,7}:{(8,1),(9,1),(11,1),(35,1),(41,1),(89,1),(134,1),(136,1),(146,1),(187,1)}
         4:{1,3,5,7}:{(1,1),(11,1),(12,1),(41,1),(146,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(12,1),(14,1),(43,1)}
         6:{2,3,4,6,7}:{(2,1),(13,1),(15,1),(47,1),(92,1),(95,1),(157,1)}
         7:{2,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(46,1),(75,1),(199,1)}
         8:{1,2,4,5,7}:{(3,1),(17,1),(18,1),(21,1),(53,1),(59,1),(102,1),(104,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(20,1),(105,1),(119,1),(174,1),(202,1)}
        10:{1,2,3,5,7}:{(4,1),(17,1),(21,1),(22,1),(59,1)}
        11:{1,3,4,7}:{(4,1),(21,1),(23,1),(65,1),(116,1)}
        12:{1,3,6}:{(4,1),(5,1),(174,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(24,1),(26,1),(65,1)}
        14:{1,2,5,6}:{(5,1),(7,1),(25,1),(26,1),(59,1)}
        15:{2,3,5,7}:{(6,1),(7,1),(26,1),(29,1),(68,1),(183,1)}
        16:{2,4,5,6}:{(7,1),(29,1),(30,1),(102,1),(161,1)}
        17:{2,3,5,7}:{(8,1),(31,1),(32,1),(75,1),(146,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(32,1),(34,1),(77,1)}
        19:{1,3,4,6,7}:{(9,1),(33,1),(35,1),(81,1),(136,1),(139,1),(190,1)}
        20:{1,3,5,6}:{(9,1),(34,1),(35,1),(36,1),(41,1),(80,1),(208,1)}
        21:{1,2,4,7}:{(10,1),(11,1),(31,1),(37,1)}
        22:{1,2,3,6}:{(10,1),(12,1),(32,1),(37,1)}
        23:{1,3,4,6}:{(11,1),(12,1),(37,1),(41,1),(43,1),(87,1)}
        24:{1,3,6,7}:{(12,1),(13,1),(42,1),(95,1)}
        25:{1,3,5,6}:{(12,1),(14,1),(41,1),(42,1),(43,1),(46,1)}
        26:{1,2,5,7}:{(13,1),(14,1),(15,1),(42,1)}
        27:{1,2,4,5,6}:{(14,1),(16,1),(43,1),(45,1),(46,1),(49,1),(85,1),(94,1),(98,1),(145,1),(152,1),(199,1)}
        28:{2,3,5,6,7}:{(15,1),(44,1),(47,1),(95,1),(99,1),(132,1)}
        29:{2,4,5,7}:{(15,1),(16,1),(47,1),(48,1)}
        30:{3,4,5,6}:{(16,1),(46,1),(48,1),(49,1),(134,1),(186,1)}
        31:{2,3,4,7}:{(17,1),(21,1),(50,1),(104,1),(116,1)}
        32:{2,3,6}:{(17,1),(18,1),(174,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(51,1),(53,1),(104,1)}
        34:{1,2,5,6}:{(18,1),(20,1),(52,1),(53,1),(59,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(53,1),(56,1),(107,1),(204,1)}
        36:{1,4,5,6}:{(20,1),(56,1),(57,1),(63,1),(119,1)}
        37:{1,2,4,6}:{(21,1),(22,1),(23,1),(50,1),(59,1)}
        38:{1,2,3,6,7}:{(22,1),(24,1),(51,1),(58,1),(60,1),(129,1),(170,1),(174,1),(206,1)}
        39:{1,2,3,5,6}:{(22,1),(25,1),(52,1),(59,1),(60,1),(61,1),(70,1),(108,1),(113,1),(115,1),(174,1),(177,1),(179,1),(206,1)}
        40:{1,3,4,6,7}:{(23,1),(24,1),(58,1),(62,1),(65,1),(116,1),(119,1),(124,1),(174,1)}
        41:{1,3,5}:{(23,1),(59,1),(63,1),(115,1)}
        42:{1,3,5,7}:{(24,1),(25,1),(26,1),(65,1),(68,1)}
        43:{1,4,6}:{(25,1),(63,1),(65,1),(66,1)}
        44:{1,2,5,6,7}:{(26,1),(28,1),(64,1),(67,1),(113,1),(131,1),(183,1)}
        45:{1,2,4,5,7}:{(26,1),(27,1),(29,1),(65,1),(67,1),(68,1),(73,1),(123,1),(126,1),(130,1),(183,1)}
        46:{3,5,6}:{(27,1),(66,1),(68,1),(115,1),(174,1)}
        47:{2,4,6,7}:{(28,1),(29,1),(72,1),(161,1)}
        48:{3,4,5,7}:{(29,1),(30,1),(68,1),(72,1),(73,1)}
        49:{1,4,5,6}:{(30,1),(69,1),(73,1),(163,1),(202,1)}
        50:{2,3,4,6}:{(31,1),(32,1),(37,1),(75,1),(77,1),(87,1)}
        51:{2,3,6,7}:{(32,1),(33,1),(76,1),(139,1)}
        52:{2,3,5,6}:{(32,1),(34,1),(75,1),(76,1),(77,1),(80,1)}
        53:{1,2,5,7}:{(33,1),(34,1),(35,1),(76,1)}
        54:{1,2,4,5,6}:{(34,1),(36,1),(77,1),(79,1),(80,1),(83,1),(85,1),(137,1),(142,1),(145,1),(185,1),(208,1)}
        55:{1,3,5,6,7}:{(35,1),(78,1),(81,1),(88,1),(139,1),(143,1)}
        56:{1,4,5,7}:{(35,1),(36,1),(81,1),(82,1)}
        57:{3,4,5,6}:{(36,1),(80,1),(82,1),(83,1),(90,1),(153,1)}
        58:{1,2,4,6,7}:{(37,1),(38,1),(40,1),(74,1),(84,1),(86,1),(145,1),(157,1),(190,1)}
        59:{1,2,5}:{(37,1),(41,1),(75,1)}
        60:{1,2,3,5,7}:{(38,1),(39,1),(42,1),(76,1),(84,1),(86,1),(97,1),(140,1),(146,1),(196,1),(198,1)}
        61:{1,2,4,6}:{(39,1),(43,1),(77,1),(85,1),(86,1),(87,1),(94,1),(137,1)}
        62:{1,3,5,7}:{(40,1),(41,1),(84,1),(88,1),(89,1),(146,1),(156,1)}
        63:{1,4,5}:{(41,1),(43,1),(90,1)}
        64:{1,3,5,6,7}:{(42,1),(44,1),(88,1),(91,1),(95,1),(156,1)}
        65:{1,4,7}:{(42,1),(43,1),(92,1)}
        66:{3,4,6}:{(43,1),(46,1),(90,1),(92,1),(94,1)}
        67:{1,2,4,6,7}:{(44,1),(45,1),(47,1),(91,1),(95,1),(100,1),(145,1),(157,1),(160,1)}
        68:{3,5,7}:{(45,1),(46,1),(92,1),(95,1)}
        69:{1,3,5,6}:{(46,1),(49,1),(93,1),(96,1),(98,1),(147,1),(194,1)}
        70:{2,3,5,6}:{(46,1),(94,1),(97,1),(98,1),(148,1),(159,1),(195,1),(199,1)}
        71:{2,4,5,6,7}:{(47,1),(99,1),(185,1)}
        72:{3,4,6,7}:{(47,1),(48,1),(95,1),(99,1),(100,1),(186,1)}
        73:{1,4,5,7}:{(48,1),(49,1),(96,1),(100,1)}
        74:{2,3,4,6,7}:{(50,1),(51,1),(58,1),(101,1),(104,1),(116,1),(161,1),(166,1),(174,1)}
        75:{2,3,5}:{(50,1),(59,1),(102,1),(115,1)}
        76:{2,3,5,7}:{(51,1),(52,1),(53,1),(104,1),(107,1)}
        77:{2,4,6}:{(52,1),(102,1),(104,1),(105,1)}
        78:{1,2,5,6,7}:{(53,1),(55,1),(103,1),(106,1),(113,1),(173,1),(204,1)}
        79:{1,2,4,5,7}:{(53,1),(54,1),(56,1),(104,1),(106,1),(107,1),(112,1),(165,1),(167,1),(172,1),(204,1)}
        80:{3,5,6}:{(54,1),(105,1),(107,1),(115,1),(174,1)}
        81:{1,4,6,7}:{(55,1),(56,1),(111,1),(119,1)}
        82:{3,4,5,7}:{(56,1),(57,1),(107,1),(111,1),(112,1)}
        83:{2,4,5,6}:{(57,1),(109,1),(112,1),(122,1),(181,1)}
        84:{1,2,5,7}:{(58,1),(59,1),(62,1),(101,1),(113,1),(183,1),(204,1)}
        85:{1,2,4,5}:{(59,1),(61,1),(63,1),(102,1),(115,1),(122,1),(163,1),(177,1)}
        86:{1,2,4,7}:{(60,1),(61,1),(65,1),(104,1),(116,1),(126,1),(167,1)}
        87:{3,4,6}:{(61,1),(115,1),(116,1),(174,1)}
        88:{1,3,5,6}:{(62,1),(113,1),(119,1),(174,1),(180,1)}
        89:{1,4,5,7}:{(62,1),(63,1),(65,1),(119,1),(120,1)}
        90:{3,4,5}:{(63,1),(66,1),(115,1),(122,1)}
        91:{1,4,6,7}:{(64,1),(65,1),(119,1),(123,1),(124,1)}
        92:{3,4,7}:{(65,1),(66,1),(68,1),(126,1)}
        93:{1,3,4,6}:{(66,1),(69,1),(121,1),(125,1),(127,1)}
        94:{2,4,6}:{(66,1),(70,1),(122,1),(126,1)}
        95:{3,6,7}:{(67,1),(68,1),(174,1)}
        96:{1,3,5,7}:{(68,1),(69,1),(73,1),(125,1),(128,1),(130,1)}
        97:{2,3,5,7}:{(68,1),(70,1),(126,1),(129,1),(130,1),(183,1),(184,1)}
        98:{1,2,5,6}:{(69,1),(70,1),(127,1),(130,1),(177,1),(206,1)}
        99:{3,5,6,7}:{(71,1),(72,1),(131,1),(201,1)}
       100:{1,4,6,7}:{(72,1),(73,1),(128,1),(131,1),(202,1)}
       101:{2,3,5,7}:{(74,1),(75,1),(84,1),(132,1),(133,1),(146,1),(189,1)}
       102:{2,4,5}:{(75,1),(77,1),(134,1)}
       103:{2,3,5,6,7}:{(76,1),(78,1),(132,1),(135,1),(139,1),(189,1)}
       104:{2,4,7}:{(76,1),(77,1),(136,1)}
       105:{3,4,6}:{(77,1),(80,1),(134,1),(136,1),(137,1)}
       106:{1,2,4,6,7}:{(78,1),(79,1),(81,1),(135,1),(139,1),(144,1),(145,1),(190,1),(193,1)}
       107:{3,5,7}:{(79,1),(80,1),(136,1),(139,1)}
       108:{1,3,5,6}:{(80,1),(137,1),(140,1),(142,1),(147,1),(192,1),(194,1),(208,1)}
       109:{2,3,5,6}:{(80,1),(83,1),(138,1),(141,1),(142,1),(148,1),(195,1)}
       110:{1,4,5,6,7}:{(81,1),(143,1),(152,1)}
       111:{3,4,6,7}:{(81,1),(82,1),(139,1),(143,1),(144,1),(153,1)}
       112:{2,4,5,7}:{(82,1),(83,1),(141,1),(144,1)}
       113:{1,2,5,6}:{(84,1),(88,1),(132,1),(145,1),(199,1),(208,1)}
       114:{1,2,4,5,7}:{(84,1),(85,1),(86,1),(89,1),(133,1),(145,1),(146,1),(154,1),(187,1),(196,1)}
       115:{3,5}:{(85,1),(87,1)}
       116:{3,4,7}:{(86,1),(87,1),(146,1)}
       117:{1,3,4,6}:{(87,1),(137,1),(147,1),(149,1),(151,1),(192,1),(194,1),(209,1)}
       118:{2,3,4,6}:{(87,1),(94,1),(148,1),(150,1),(151,1),(159,1),(195,1),(200,1)}
       119:{1,4,6}:{(88,1),(89,1),(153,1)}
       120:{3,4,5,7}:{(89,1),(90,1),(92,1),(146,1),(153,1),(154,1),(156,1)}
       121:{1,3,4,5}:{(90,1),(93,1),(147,1),(155,1),(209,1)}
       122:{2,4,5}:{(90,1),(94,1),(148,1)}
       123:{1,4,5,7}:{(91,1),(152,1),(156,1)}
       124:{3,4,6,7}:{(91,1),(92,1),(95,1),(153,1),(156,1),(157,1)}
       125:{1,3,4,7}:{(92,1),(93,1),(96,1),(158,1)}
       126:{2,4,7}:{(92,1),(94,1),(97,1)}
       127:{1,2,4,6}:{(93,1),(94,1),(98,1),(155,1),(158,1),(159,1)}
       128:{1,3,6,7}:{(95,1),(96,1),(100,1),(160,1),(194,1)}
       129:{2,3,6,7}:{(95,1),(97,1),(157,1),(160,1),(195,1)}
       130:{1,2,5,7}:{(96,1),(97,1),(98,1),(158,1),(160,1)}
       131:{1,5,6,7}:{(99,1),(100,1),(208,1)}
       132:{2,3,5,6}:{(101,1),(113,1),(161,1),(174,1),(201,1)}
       133:{2,4,5,7}:{(101,1),(102,1),(104,1),(161,1),(162,1)}
       134:{3,4,5}:{(102,1),(105,1),(115,1),(163,1)}
       135:{2,4,6,7}:{(103,1),(104,1),(161,1),(165,1),(166,1)}
       136:{3,4,7}:{(104,1),(105,1),(107,1),(167,1)}
       137:{1,4,6}:{(105,1),(108,1),(163,1),(167,1)}
       138:{2,3,4,6}:{(105,1),(109,1),(164,1),(168,1),(169,1)}
       139:{3,6,7}:{(106,1),(107,1),(174,1)}
       140:{1,3,5,7}:{(107,1),(108,1),(167,1),(170,1),(172,1),(204,1),(205,1)}
       141:{2,3,5,7}:{(107,1),(109,1),(112,1),(168,1),(171,1),(172,1)}
       142:{1,2,5,6}:{(108,1),(109,1),(169,1),(172,1),(177,1),(206,1)}
       143:{3,5,6,7}:{(110,1),(111,1),(173,1),(180,1)}
       144:{2,4,6,7}:{(111,1),(112,1),(171,1),(173,1),(181,1)}
       145:{1,2,4,6}:{(113,1),(114,1),(119,1),(161,1),(174,1),(181,1),(202,1),(206,1)}
       146:{3,5,7}:{(114,1),(115,1),(116,1),(174,1)}
       147:{1,3,5}:{(115,1),(117,1),(163,1),(177,1)}
       148:{2,3,5}:{(115,1),(118,1),(122,1),(177,1)}
       149:{1,3,4,7}:{(116,1),(117,1),(167,1),(175,1),(178,1),(205,1)}
       150:{2,3,4,7}:{(116,1),(118,1),(126,1),(176,1),(178,1),(184,1)}
       151:{1,2,4,6}:{(117,1),(118,1),(177,1),(178,1),(179,1),(206,1),(207,1)}
       152:{1,4,5,6}:{(119,1),(123,1),(180,1)}
       153:{3,4,6}:{(119,1),(120,1),(174,1),(180,1),(181,1)}
       154:{2,4,5,7}:{(120,1),(122,1),(126,1),(176,1),(181,1),(183,1)}
       155:{1,2,4,5}:{(121,1),(122,1),(127,1),(177,1),(182,1),(207,1)}
       156:{3,5,7}:{(123,1),(124,1),(180,1),(183,1)}
       157:{2,4,6,7}:{(124,1),(126,1),(129,1),(181,1),(183,1)}
       158:{1,2,4,7}:{(125,1),(126,1),(127,1),(130,1),(184,1)}
       159:{2,3,6}:{(127,1),(182,1),(184,1)}
       160:{1,2,6,7}:{(128,1),(129,1),(130,1),(206,1)}
       161:{2,4,6}:{(132,1),(133,1),(186,1)}
       162:{3,4,5,7}:{(133,1),(134,1),(136,1),(146,1),(186,1),(187,1),(189,1)}
       163:{1,4,5}:{(134,1),(137,1),(147,1)}
       164:{2,3,4,5}:{(134,1),(138,1),(148,1),(188,1),(200,1)}
       165:{2,4,5,7}:{(135,1),(185,1),(189,1)}
       166:{3,4,6,7}:{(135,1),(136,1),(139,1),(186,1),(189,1),(190,1)}
       167:{1,4,7}:{(136,1),(137,1),(140,1)}
       168:{2,3,4,7}:{(136,1),(138,1),(141,1),(191,1)}
       169:{1,2,4,6}:{(137,1),(138,1),(142,1),(188,1),(191,1),(192,1)}
       170:{1,3,6,7}:{(139,1),(140,1),(190,1),(193,1),(194,1)}
       171:{2,3,6,7}:{(139,1),(141,1),(144,1),(193,1),(195,1)}
       172:{1,2,5,7}:{(140,1),(141,1),(142,1),(191,1),(193,1)}
       173:{2,5,6,7}:{(143,1),(144,1),(199,1)}
       174:{3,6}:{(145,1),(146,1)}
       175:{1,3,5,7}:{(146,1),(147,1),(149,1),(187,1),(194,1),(196,1)}
       176:{2,3,5,7}:{(146,1),(148,1),(150,1),(154,1),(195,1),(196,1)}
       177:{1,2,5}:{(147,1),(148,1),(151,1)}
       178:{1,2,4,7}:{(149,1),(150,1),(151,1),(196,1),(198,1)}
       179:{1,2,3,6}:{(151,1),(159,1),(192,1),(197,1),(198,1)}
       180:{3,5,6}:{(152,1),(153,1),(156,1),(199,1)}
       181:{2,4,6}:{(153,1),(154,1),(195,1),(199,1)}
       182:{2,3,5}:{(155,1),(159,1),(200,1)}
       183:{2,5,7}:{(156,1),(157,1),(199,1)}
       184:{2,3,7}:{(158,1),(159,1)}
       185:{2,4,5,6}:{(161,1),(165,1),(201,1)}
       186:{3,4,6}:{(161,1),(162,1),(174,1),(201,1),(202,1)}
       187:{1,4,5,7}:{(162,1),(163,1),(167,1),(175,1),(202,1),(204,1)}
       188:{1,2,4,5}:{(163,1),(164,1),(169,1),(177,1),(203,1),(207,1)}
       189:{3,5,7}:{(165,1),(166,1),(201,1),(204,1)}
       190:{1,4,6,7}:{(166,1),(167,1),(170,1),(202,1),(204,1)}
       191:{1,2,4,7}:{(167,1),(168,1),(169,1),(172,1),(205,1)}
       192:{1,3,6}:{(169,1),(203,1),(205,1)}
       193:{1,2,6,7}:{(170,1),(171,1),(172,1),(206,1)}
       194:{1,3,6}:{(174,1),(175,1),(202,1),(206,1)}
       195:{2,3,6}:{(174,1),(176,1),(181,1),(206,1)}
       196:{1,2,5,7}:{(175,1),(176,1),(177,1),(178,1),(206,1)}
       197:{1,2,3,5}:{(177,1),(179,1),(182,1),(203,1),(207,1)}
       198:{1,2,3,7}:{(178,1),(179,1),(184,1),(205,1)}
       199:{2,5,6}:{(180,1),(181,1),(183,1)}
       200:{2,3,4}:{(182,1),(207,1)}
       201:{3,5,6}:{(185,1),(186,1),(189,1),(208,1)}
       202:{1,4,6}:{(186,1),(187,1),(194,1),(208,1)}
       203:{1,3,5}:{(188,1),(192,1),(209,1)}
       204:{1,5,7}:{(189,1),(190,1),(208,1)}
       205:{1,3,7}:{(191,1),(192,1)}
       206:{1,2,6}:{(194,1),(195,1),(196,1)}
       207:{1,2,4}:{(197,1),(200,1),(209,1)}
       208:{1,5,6}:{(201,1),(202,1),(204,1)}
       209:{1,3,4}:{(203,1),(207,1)}

1110 :   0:{2,3,4,5}:{(1,1),(2,1),(46,1),(109,1),(126,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(89,1)}
         2:{1,2,4,5}:{(0,1),(6,1),(8,1),(26,1),(82,1),(95,1)}
         3:{1,3,4,5}:{(9,1),(10,1),(19,1),(64,1),(168,1)}
         4:{3,4,5,6}:{(12,1),(13,1),(14,1),(56,1),(168,1),(212,1),(222,1)}
         5:{2,3,5,6}:{(1,1),(13,1),(15,1),(16,1),(56,1),(109,1),(174,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(15,1),(17,1),(18,1),(61,1)}
         7:{2,3,4,7}:{(1,1),(16,1),(18,1),(127,1)}
         8:{1,3,5}:{(2,1),(17,1),(19,1)}
         9:{1,3,4,6}:{(3,1),(21,1),(22,1),(23,1),(136,1)}
        10:{1,2,4,5}:{(3,1),(22,1),(24,1),(26,1),(82,1),(142,1)}
        11:{1,2,3,5}:{(8,1),(24,1),(25,1),(26,1),(82,1)}
        12:{1,4,5,6}:{(4,1),(29,1),(31,1),(191,1),(223,1)}
        13:{2,4,5,6}:{(4,1),(5,1),(32,1),(142,1),(197,1)}
        14:{3,4,5,7}:{(4,1),(31,1),(32,1),(33,1),(90,1),(209,1)}
        15:{1,2,5,6}:{(5,1),(6,1),(34,1),(35,1),(82,1),(155,1)}
        16:{2,3,5,7}:{(5,1),(7,1),(32,1),(35,1),(36,1),(90,1)}
        17:{1,3,6}:{(6,1),(8,1),(38,1)}
        18:{1,2,4,7}:{(6,1),(7,1),(35,1),(38,1),(96,1)}
        19:{1,3,4}:{(8,1),(26,1)}
        20:{3,4,5,6}:{(39,1),(40,1),(41,1),(101,1),(126,1),(187,1),(230,1)}
        21:{1,3,5,6}:{(9,1),(39,1),(42,1),(43,1),(64,1),(101,1),(132,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(42,1),(44,1),(45,1),(106,1)}
        23:{1,3,4,7}:{(9,1),(43,1),(45,1),(169,1)}
        24:{2,3,5}:{(10,1),(44,1),(46,1)}
        25:{1,2,3,6}:{(11,1),(17,1),(44,1),(50,1),(51,1)}
        26:{1,2,4}:{(11,1),(19,1),(46,1)}
        27:{1,3,4,5}:{(47,1),(52,1),(122,1),(126,1),(179,1)}
        28:{2,3,4,5}:{(48,1),(53,1),(121,1),(168,1),(177,1)}
        29:{1,3,5,6}:{(12,1),(47,1),(54,1),(55,1),(56,1),(179,1),(218,1)}
        30:{1,2,4,5,6}:{(12,1),(13,1),(15,1),(54,1),(56,1),(57,1),(61,1),(116,1),(123,1),(183,1),(190,1),(221,1),(222,1)}
        31:{1,4,5,7}:{(12,1),(14,1),(55,1),(58,1)}
        32:{2,4,5,7}:{(13,1),(14,1),(16,1),(59,1)}
        33:{3,4,6,7}:{(14,1),(58,1),(59,1),(60,1),(128,1),(189,1),(212,1)}
        34:{1,3,5,6}:{(15,1),(17,1),(56,1),(61,1),(62,1),(64,1),(132,1),(190,1)}
        35:{1,2,5,7}:{(15,1),(16,1),(18,1),(62,1),(63,1)}
        36:{2,3,6,7}:{(16,1),(59,1),(63,1),(128,1),(174,1)}
        37:{1,3,4,6}:{(17,1),(19,1),(50,1),(61,1),(64,1),(65,1),(115,1),(132,1)}
        38:{1,3,7}:{(17,1),(18,1)}
        39:{1,4,5,6}:{(20,1),(21,1),(68,1),(95,1),(163,1)}
        40:{2,4,5,6}:{(20,1),(66,1),(69,1),(157,1),(206,1)}
        41:{3,4,5,7}:{(20,1),(68,1),(69,1),(70,1),(137,1),(226,1)}
        42:{1,2,5,6}:{(21,1),(22,1),(71,1),(72,1),(82,1),(155,1)}
        43:{1,3,5,7}:{(21,1),(23,1),(68,1),(72,1),(73,1),(137,1)}
        44:{2,3,6}:{(22,1),(24,1),(75,1)}
        45:{1,2,4,7}:{(22,1),(23,1),(72,1),(75,1),(143,1)}
        46:{2,3,4}:{(24,1),(26,1)}
        47:{1,3,4,6}:{(27,1),(29,1),(76,1),(77,1),(89,1)}
        48:{2,3,4,6}:{(28,1),(66,1),(78,1),(79,1),(136,1)}
        49:{1,2,3,5,6}:{(25,1),(34,1),(71,1),(80,1),(81,1),(82,1),(86,1),(133,1),(146,1),(151,1),(155,1),(199,1),(203,1),(205,1),(227,1)}
        50:{1,2,4,6}:{(25,1),(26,1),(37,1),(74,1),(82,1),(83,1),(155,1)}
        51:{1,2,3,7}:{(25,1),(38,1),(75,1),(83,1)}
        52:{1,2,4,5}:{(27,1),(76,1),(84,1),(156,1),(157,1),(199,1)}
        53:{1,2,4,5}:{(28,1),(78,1),(85,1),(156,1),(191,1),(199,1)}
        54:{1,2,5,6}:{(29,1),(76,1),(86,1),(87,1),(199,1),(227,1)}
        55:{1,3,5,7}:{(29,1),(31,1),(77,1),(87,1),(88,1),(90,1)}
        56:{3,5,6}:{(30,1),(89,1),(90,1),(151,1),(203,1)}
        57:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(87,1),(90,1),(91,1),(96,1),(158,1),(164,1),(207,1),(209,1)}
        58:{1,4,6,7}:{(31,1),(33,1),(88,1),(92,1),(223,1)}
        59:{2,4,6,7}:{(32,1),(33,1),(36,1),(93,1),(197,1)}
        60:{3,5,6,7}:{(33,1),(92,1),(93,1),(94,1),(225,1)}
        61:{1,4,6}:{(34,1),(89,1),(95,1),(96,1)}
        62:{1,3,5,7}:{(34,1),(35,1),(38,1),(90,1),(96,1),(97,1),(164,1)}
        63:{1,2,6,7}:{(35,1),(36,1),(97,1),(155,1)}
        64:{1,3,5}:{(37,1),(82,1),(95,1),(151,1)}
        65:{1,3,4,7}:{(37,1),(38,1),(83,1),(96,1),(98,1),(152,1)}
        66:{2,3,5,6}:{(40,1),(48,1),(99,1),(100,1),(101,1),(177,1),(217,1)}
        67:{1,2,4,5,6}:{(39,1),(40,1),(42,1),(99,1),(101,1),(102,1),(106,1),(116,1),(165,1),(183,1),(215,1),(229,1),(230,1)}
        68:{1,4,5,7}:{(39,1),(41,1),(43,1),(103,1)}
        69:{2,4,5,7}:{(40,1),(41,1),(100,1),(104,1)}
        70:{3,4,6,7}:{(41,1),(103,1),(104,1),(105,1),(170,1),(187,1),(214,1)}
        71:{2,3,5,6}:{(42,1),(44,1),(101,1),(106,1),(107,1),(109,1),(174,1),(215,1)}
        72:{1,2,5,7}:{(42,1),(43,1),(45,1),(107,1),(108,1)}
        73:{1,3,6,7}:{(43,1),(103,1),(108,1),(132,1),(170,1)}
        74:{2,3,4,6}:{(44,1),(46,1),(50,1),(106,1),(109,1),(110,1),(115,1),(174,1)}
        75:{2,3,7}:{(44,1),(45,1)}
        76:{1,2,4,6}:{(47,1),(52,1),(54,1),(111,1),(112,1),(123,1)}
        77:{1,3,4,7}:{(47,1),(55,1),(112,1),(127,1)}
        78:{1,2,4,6}:{(48,1),(53,1),(99,1),(113,1),(114,1),(165,1)}
        79:{2,3,4,7}:{(48,1),(100,1),(114,1),(169,1)}
        80:{1,2,4,6}:{(49,1),(61,1),(106,1),(115,1),(116,1),(117,1),(123,1),(165,1)}
        81:{1,2,3,5,7}:{(49,1),(51,1),(62,1),(107,1),(117,1),(118,1),(119,1),(124,1),(166,1),(176,1),(181,1),(184,1),(216,1)}
        82:{1,2,5}:{(50,1),(64,1),(109,1)}
        83:{1,2,4,7}:{(50,1),(51,1),(65,1),(110,1),(119,1)}
        84:{2,3,5}:{(52,1),(111,1),(121,1)}
        85:{1,3,5}:{(53,1),(113,1),(122,1)}
        86:{2,3,5,6}:{(54,1),(56,1),(111,1),(123,1),(124,1),(177,1),(217,1),(221,1)}
        87:{1,2,5,7}:{(54,1),(55,1),(112,1),(124,1),(125,1)}
        88:{1,3,6,7}:{(55,1),(58,1),(125,1),(128,1),(218,1)}
        89:{3,4,6}:{(56,1),(61,1),(123,1),(126,1),(127,1)}
        90:{3,5,7}:{(56,1),(57,1),(127,1),(128,1)}
        91:{1,2,4,6,7}:{(57,1),(58,1),(59,1),(63,1),(125,1),(128,1),(129,1),(131,1),(183,1),(186,1),(189,1)}
        92:{1,5,6,7}:{(58,1),(60,1),(229,1)}
        93:{2,5,6,7}:{(59,1),(60,1),(215,1)}
        94:{4,5,6,7}:{(60,1),(189,1),(230,1)}
        95:{1,4,5}:{(61,1),(64,1),(126,1)}
        96:{1,4,7}:{(61,1),(62,1),(127,1)}
        97:{1,3,6,7}:{(62,1),(63,1),(128,1),(131,1),(132,1)}
        98:{1,3,5,7}:{(64,1),(65,1),(119,1),(130,1),(132,1),(181,1)}
        99:{1,2,5,6}:{(66,1),(78,1),(133,1),(134,1),(199,1),(227,1)}
       100:{2,3,5,7}:{(66,1),(69,1),(79,1),(134,1),(135,1),(137,1)}
       101:{3,5,6}:{(67,1),(136,1),(137,1),(151,1),(203,1)}
       102:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(72,1),(134,1),(137,1),(138,1),(143,1),(192,1),(198,1),(224,1),(226,1)}
       103:{1,4,6,7}:{(68,1),(70,1),(73,1),(139,1),(163,1)}
       104:{2,4,6,7}:{(69,1),(70,1),(135,1),(140,1),(206,1)}
       105:{3,5,6,7}:{(70,1),(139,1),(140,1),(141,1),(208,1)}
       106:{2,4,6}:{(71,1),(136,1),(142,1),(143,1)}
       107:{2,3,5,7}:{(71,1),(72,1),(75,1),(137,1),(143,1),(144,1),(198,1)}
       108:{1,2,6,7}:{(72,1),(73,1),(144,1),(155,1)}
       109:{2,3,5}:{(74,1),(82,1),(142,1),(151,1)}
       110:{2,3,4,7}:{(74,1),(75,1),(83,1),(143,1),(145,1),(152,1)}
       111:{2,3,6}:{(76,1),(84,1),(148,1)}
       112:{1,2,4,7}:{(76,1),(77,1),(87,1),(148,1),(158,1)}
       113:{1,3,6}:{(78,1),(85,1),(150,1)}
       114:{1,2,4,7}:{(78,1),(79,1),(134,1),(150,1),(192,1)}
       115:{3,4,6}:{(80,1),(151,1),(152,1),(203,1)}
       116:{1,2,4,5}:{(80,1),(82,1),(95,1),(142,1),(151,1),(157,1),(191,1),(199,1)}
       117:{1,2,4,7}:{(80,1),(81,1),(96,1),(143,1),(152,1),(158,1),(192,1)}
       118:{1,2,3,6,7}:{(81,1),(97,1),(144,1),(154,1),(155,1),(159,1),(193,1),(203,1),(227,1)}
       119:{1,2,5,7}:{(82,1),(83,1),(98,1),(145,1),(155,1)}
       120:{1,2,3,5}:{(84,1),(85,1),(146,1),(156,1),(199,1)}
       121:{2,3,4}:{(84,1),(156,1)}
       122:{1,3,4}:{(85,1),(156,1)}
       123:{2,4,6}:{(86,1),(89,1),(157,1),(158,1)}
       124:{2,3,5,7}:{(86,1),(87,1),(90,1),(148,1),(158,1),(159,1),(207,1)}
       125:{1,2,6,7}:{(87,1),(88,1),(159,1),(227,1)}
       126:{3,4,5}:{(89,1),(95,1),(151,1),(157,1)}
       127:{3,4,7}:{(89,1),(90,1),(96,1),(158,1)}
       128:{3,6,7}:{(90,1),(91,1),(203,1)}
       129:{1,2,5,6,7}:{(91,1),(92,1),(93,1),(162,1),(164,1),(205,1),(207,1)}
       130:{1,4,5,7}:{(95,1),(96,1),(98,1),(160,1),(163,1),(164,1)}
       131:{1,4,6,7}:{(96,1),(97,1),(161,1),(163,1),(164,1)}
       132:{1,3,6}:{(98,1),(155,1),(163,1),(203,1)}
       133:{1,3,5,6}:{(99,1),(101,1),(113,1),(165,1),(166,1),(179,1),(218,1),(229,1)}
       134:{1,2,5,7}:{(99,1),(100,1),(114,1),(166,1),(167,1)}
       135:{2,3,6,7}:{(100,1),(104,1),(167,1),(170,1),(217,1)}
       136:{3,4,6}:{(101,1),(106,1),(165,1),(168,1),(169,1)}
       137:{3,5,7}:{(101,1),(102,1),(169,1),(170,1)}
       138:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(108,1),(167,1),(170,1),(171,1),(173,1),(183,1),(211,1),(214,1)}
       139:{1,5,6,7}:{(103,1),(105,1),(190,1)}
       140:{2,5,6,7}:{(104,1),(105,1),(221,1)}
       141:{4,5,6,7}:{(105,1),(214,1),(222,1)}
       142:{2,4,5}:{(106,1),(109,1),(168,1)}
       143:{2,4,7}:{(106,1),(107,1),(169,1)}
       144:{2,3,6,7}:{(107,1),(108,1),(170,1),(173,1),(174,1)}
       145:{2,3,5,7}:{(109,1),(110,1),(119,1),(172,1),(174,1),(181,1)}
       146:{1,2,3,6}:{(111,1),(113,1),(120,1),(175,1),(176,1)}
       147:{2,3,4,6}:{(111,1),(115,1),(121,1),(123,1),(175,1),(177,1),(178,1),(217,1)}
       148:{2,3,7}:{(111,1),(112,1)}
       149:{1,3,4,6}:{(113,1),(115,1),(122,1),(165,1),(175,1),(179,1),(180,1),(218,1)}
       150:{1,3,7}:{(113,1),(114,1)}
       151:{3,5}:{(115,1),(116,1)}
       152:{3,4,7}:{(115,1),(117,1),(181,1)}
       153:{1,2,4,5,7}:{(116,1),(117,1),(119,1),(130,1),(172,1),(181,1),(183,1),(184,1),(185,1),(210,1),(216,1),(220,1)}
       154:{1,2,4,6,7}:{(117,1),(118,1),(131,1),(173,1),(182,1),(183,1),(184,1),(186,1),(211,1)}
       155:{1,2,6}:{(119,1),(132,1),(174,1)}
       156:{1,2,4}:{(120,1),(121,1),(122,1)}
       157:{2,4,5}:{(123,1),(126,1),(177,1)}
       158:{2,4,7}:{(123,1),(124,1),(127,1)}
       159:{2,3,6,7}:{(124,1),(125,1),(128,1),(186,1),(217,1)}
       160:{3,4,5,7}:{(126,1),(127,1),(130,1),(181,1),(185,1),(187,1),(188,1),(220,1)}
       161:{3,4,6,7}:{(127,1),(128,1),(131,1),(186,1),(187,1),(188,1),(189,1)}
       162:{3,5,6,7}:{(128,1),(129,1),(188,1),(189,1),(219,1)}
       163:{1,4,6}:{(130,1),(132,1),(187,1),(190,1)}
       164:{1,5,7}:{(131,1),(188,1),(190,1)}
       165:{1,4,6}:{(133,1),(136,1),(191,1),(192,1)}
       166:{1,3,5,7}:{(133,1),(134,1),(137,1),(150,1),(192,1),(193,1),(224,1)}
       167:{1,2,6,7}:{(134,1),(135,1),(193,1),(227,1)}
       168:{3,4,5}:{(136,1),(142,1),(151,1),(191,1)}
       169:{3,4,7}:{(136,1),(137,1),(143,1),(192,1)}
       170:{3,6,7}:{(137,1),(138,1),(203,1)}
       171:{1,2,5,6,7}:{(138,1),(139,1),(140,1),(196,1),(198,1),(205,1),(224,1)}
       172:{2,4,5,7}:{(142,1),(143,1),(145,1),(194,1),(197,1),(198,1)}
       173:{2,4,6,7}:{(143,1),(144,1),(195,1),(197,1),(198,1)}
       174:{2,3,6}:{(145,1),(155,1),(197,1),(203,1)}
       175:{1,2,4,6}:{(146,1),(147,1),(149,1),(156,1),(199,1),(200,1),(227,1)}
       176:{1,2,3,7}:{(146,1),(148,1),(150,1),(200,1)}
       177:{2,3,5}:{(147,1),(151,1),(157,1),(199,1)}
       178:{2,3,4,7}:{(147,1),(148,1),(152,1),(158,1),(200,1),(201,1)}
       179:{1,3,5}:{(149,1),(151,1),(191,1),(199,1)}
       180:{1,3,4,7}:{(149,1),(150,1),(152,1),(192,1),(200,1),(202,1)}
       181:{3,5,7}:{(151,1),(152,1),(153,1),(203,1)}
       182:{3,4,6,7}:{(152,1),(154,1),(203,1),(204,1),(228,1)}
       183:{1,2,4,6}:{(153,1),(155,1),(163,1),(197,1),(203,1),(205,1),(206,1),(223,1),(227,1),(228,1)}
       184:{1,2,5,7}:{(154,1),(164,1),(198,1),(204,1),(205,1),(207,1),(224,1)}
       185:{2,4,5,7}:{(157,1),(158,1),(160,1),(201,1),(206,1),(207,1)}
       186:{2,4,6,7}:{(158,1),(159,1),(161,1),(206,1),(207,1)}
       187:{3,4,6}:{(160,1),(163,1),(203,1),(206,1),(208,1),(228,1)}
       188:{3,5,7}:{(161,1),(164,1),(207,1),(208,1),(209,1)}
       189:{4,6,7}:{(162,1),(209,1),(228,1)}
       190:{1,5,6}:{(163,1),(164,1),(208,1)}
       191:{1,4,5}:{(165,1),(168,1),(179,1)}
       192:{1,4,7}:{(165,1),(166,1),(169,1)}
       193:{1,3,6,7}:{(166,1),(167,1),(170,1),(211,1),(218,1)}
       194:{3,4,5,7}:{(168,1),(169,1),(172,1),(181,1),(210,1),(212,1),(213,1),(220,1)}
       195:{3,4,6,7}:{(169,1),(170,1),(173,1),(211,1),(212,1),(213,1),(214,1)}
       196:{3,5,6,7}:{(170,1),(171,1),(213,1),(214,1),(219,1)}
       197:{2,4,6}:{(172,1),(174,1),(212,1),(215,1)}
       198:{2,5,7}:{(173,1),(213,1),(215,1)}
       199:{1,2,5}:{(175,1),(177,1),(179,1)}
       200:{1,2,4,7}:{(175,1),(176,1),(178,1),(180,1),(216,1)}
       201:{2,3,5,7}:{(177,1),(178,1),(181,1),(185,1),(216,1),(217,1)}
       202:{1,3,5,7}:{(179,1),(180,1),(181,1),(210,1),(216,1),(218,1)}
       203:{3,6}:{(181,1),(183,1)}
       204:{3,5,7}:{(182,1),(184,1),(219,1),(220,1)}
       205:{1,2,5,6}:{(183,1),(184,1),(190,1),(215,1),(219,1),(221,1),(229,1)}
       206:{2,4,6}:{(185,1),(187,1),(217,1),(221,1)}
       207:{2,5,7}:{(186,1),(188,1),(221,1)}
       208:{3,5,6}:{(187,1),(188,1),(190,1),(221,1),(222,1)}
       209:{4,5,7}:{(188,1),(189,1),(222,1)}
       210:{1,4,5,7}:{(191,1),(192,1),(194,1),(202,1),(223,1),(224,1)}
       211:{1,4,6,7}:{(192,1),(193,1),(195,1),(223,1),(224,1)}
       212:{3,4,6}:{(194,1),(197,1),(203,1),(223,1),(225,1),(228,1)}
       213:{3,5,7}:{(195,1),(198,1),(224,1),(225,1),(226,1)}
       214:{4,6,7}:{(196,1),(226,1),(228,1)}
       215:{2,5,6}:{(197,1),(198,1),(225,1)}
       216:{1,2,5,7}:{(199,1),(200,1),(201,1),(202,1),(227,1)}
       217:{2,3,6}:{(201,1),(203,1),(206,1),(227,1)}
       218:{1,3,6}:{(202,1),(203,1),(223,1),(227,1)}
       219:{3,5,6}:{(203,1),(204,1),(205,1),(228,1)}
       220:{4,5,7}:{(204,1),(228,1)}
       221:{2,5,6}:{(206,1),(207,1),(208,1)}
       222:{4,5,6}:{(208,1),(209,1),(228,1)}
       223:{1,4,6}:{(210,1),(212,1),(218,1),(229,1)}
       224:{1,5,7}:{(211,1),(213,1),(229,1)}
       225:{3,5,6}:{(212,1),(213,1),(215,1),(229,1),(230,1)}
       226:{4,5,7}:{(213,1),(214,1),(230,1)}
       227:{1,2,6}:{(216,1),(217,1),(218,1)}
       228:{4,6}:{(219,1),(220,1)}
       229:{1,5,6}:{(223,1),(224,1),(225,1)}
       230:{4,5,6}:{(225,1),(226,1),(228,1)}

1111 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(15,1),(19,1),(42,1),(46,1),(77,1),(78,1),(79,1),(99,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(66,1),(67,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(29,1),(30,1),(34,1),(66,1),(67,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(65,1),(90,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(12,1),(16,1),(47,1),(96,1)}
         5:{3,4,6}:{(3,1),(11,1),(13,1),(14,1),(15,1),(51,1),(81,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(16,1),(48,1),(49,1),(52,1),(79,1)}
         7:{3,5,7}:{(2,1),(3,1),(13,1),(16,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(39,1),(51,1),(55,1),(73,1),(77,1),(84,1),(96,1),(99,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(20,1),(51,1),(53,1),(75,1),(78,1),(94,1),(96,1),(103,1)}
        10:{2,3,4,6}:{(15,1),(20,1),(21,1),(22,1),(51,1),(53,1),(81,1),(97,1)}
        11:{3,4,5}:{(5,1),(25,1),(26,1),(65,1),(102,1)}
        12:{4,6,7}:{(4,1),(27,1),(101,1)}
        13:{3,4,7}:{(5,1),(7,1),(29,1),(30,1),(69,1)}
        14:{1,4,6}:{(5,1),(8,1),(25,1),(29,1),(72,1),(101,1)}
        15:{2,4,6}:{(5,1),(9,1),(26,1),(30,1),(88,1),(101,1)}
        16:{3,6,7}:{(6,1),(7,1),(90,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(29,1),(32,1),(34,1),(66,1),(69,1),(92,1)}
        18:{2,3,5,7}:{(7,1),(9,1),(30,1),(33,1),(34,1),(67,1),(69,1),(92,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(36,1),(58,1),(70,1),(86,1)}
        20:{2,3,5}:{(10,1),(26,1),(36,1),(65,1),(102,1)}
        21:{2,3,4,7}:{(10,1),(30,1),(35,1),(37,1),(69,1),(91,1)}
        22:{1,2,4,6}:{(10,1),(36,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        23:{1,3,4,6}:{(14,1),(39,1),(40,1),(41,1),(51,1),(73,1),(81,1),(97,1)}
        24:{3,4,5,7}:{(11,1),(13,1),(43,1),(44,1),(45,1),(47,1),(80,1),(98,1),(104,1)}
        25:{1,4,5}:{(11,1),(14,1),(39,1),(99,1),(104,1)}
        26:{2,4,5}:{(11,1),(15,1),(20,1),(103,1),(104,1)}
        27:{4,5,7}:{(12,1),(42,1),(47,1),(98,1),(104,1)}
        28:{3,4,6,7}:{(12,1),(13,1),(16,1),(43,1),(47,1),(48,1),(49,1),(83,1),(97,1),(98,1)}
        29:{1,4,7}:{(13,1),(14,1),(17,1),(98,1)}
        30:{2,4,7}:{(13,1),(15,1),(18,1),(98,1)}
        31:{1,2,4,6}:{(14,1),(15,1),(19,1),(46,1),(50,1),(51,1)}
        32:{1,3,6,7}:{(16,1),(17,1),(48,1),(52,1),(73,1),(83,1),(84,1)}
        33:{2,3,6,7}:{(16,1),(18,1),(49,1),(52,1),(53,1),(83,1),(94,1)}
        34:{1,2,5,7}:{(17,1),(18,1),(19,1),(50,1),(52,1)}
        35:{2,3,5,7}:{(20,1),(21,1),(45,1),(53,1),(54,1),(80,1)}
        36:{1,2,5}:{(20,1),(22,1),(55,1),(99,1)}
        37:{1,2,4,7}:{(21,1),(22,1),(54,1),(56,1),(85,1)}
        38:{1,3,6}:{(22,1),(51,1),(55,1),(56,1)}
        39:{1,3,5}:{(23,1),(25,1),(58,1),(65,1),(102,1)}
        40:{1,3,4,7}:{(23,1),(29,1),(57,1),(59,1),(69,1),(91,1)}
        41:{1,2,4,6}:{(23,1),(58,1),(59,1),(60,1),(86,1),(88,1),(100,1)}
        42:{4,5,6}:{(27,1),(61,1),(101,1)}
        43:{3,4,6}:{(24,1),(61,1),(62,1),(63,1),(90,1),(101,1)}
        44:{1,4,5,7}:{(24,1),(25,1),(29,1),(57,1),(62,1),(66,1)}
        45:{2,4,5,7}:{(24,1),(26,1),(30,1),(35,1),(63,1),(67,1)}
        46:{1,2,4,5}:{(25,1),(26,1),(31,1),(36,1),(58,1),(65,1),(72,1),(88,1)}
        47:{3,5,7}:{(27,1),(28,1),(61,1),(66,1),(67,1),(102,1)}
        48:{1,4,6,7}:{(28,1),(29,1),(32,1),(62,1),(66,1),(93,1)}
        49:{2,4,6,7}:{(28,1),(30,1),(33,1),(63,1),(67,1),(100,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(69,1)}
        51:{3,6}:{(31,1),(65,1),(69,1)}
        52:{1,2,6,7}:{(32,1),(33,1),(34,1),(70,1),(86,1)}
        53:{2,3,6}:{(35,1),(63,1),(70,1),(90,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(37,1),(70,1),(71,1)}
        55:{1,3,5}:{(36,1),(38,1),(65,1),(72,1)}
        56:{1,3,7}:{(37,1),(38,1),(69,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(44,1),(73,1),(74,1),(80,1)}
        58:{1,2,5}:{(39,1),(41,1),(75,1),(103,1)}
        59:{1,2,4,7}:{(40,1),(41,1),(74,1),(76,1),(95,1)}
        60:{2,3,6}:{(41,1),(51,1),(75,1),(76,1)}
        61:{3,5,6}:{(42,1),(43,1),(47,1),(77,1),(78,1)}
        62:{1,4,6}:{(43,1),(44,1),(73,1),(77,1)}
        63:{2,4,6}:{(43,1),(45,1),(53,1),(78,1)}
        64:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(54,1),(74,1),(79,1),(80,1),(82,1),(85,1),(95,1),(98,1),(99,1),(103,1),(104,1)}
        65:{3,5}:{(46,1),(51,1),(81,1)}
        66:{1,5,7}:{(47,1),(48,1),(77,1),(99,1)}
        67:{2,5,7}:{(47,1),(49,1),(78,1),(103,1)}
        68:{1,2,4,6,7}:{(48,1),(49,1),(50,1),(52,1),(79,1),(82,1),(83,1),(98,1)}
        69:{3,7}:{(50,1),(51,1)}
        70:{1,2,6}:{(53,1),(54,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(56,1),(80,1),(84,1),(85,1),(99,1)}
        72:{1,4}:{(55,1),(81,1)}
        73:{1,3,6}:{(57,1),(62,1),(86,1),(90,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(86,1),(87,1)}
        75:{2,3,5}:{(58,1),(60,1),(65,1),(88,1)}
        76:{2,3,7}:{(59,1),(60,1),(69,1)}
        77:{1,5,6}:{(61,1),(62,1),(66,1)}
        78:{2,5,6}:{(61,1),(63,1),(67,1)}
        79:{1,2,4,6}:{(62,1),(63,1),(64,1),(70,1),(86,1),(89,1),(90,1),(93,1),(100,1),(101,1)}
        80:{3,5,7}:{(64,1),(65,1),(69,1),(90,1),(91,1),(102,1)}
        81:{3,4}:{(65,1),(72,1),(88,1)}
        82:{1,2,5,7}:{(66,1),(67,1),(68,1),(89,1),(92,1)}
        83:{3,6,7}:{(68,1),(69,1),(90,1),(92,1)}
        84:{1,3,6}:{(70,1),(71,1),(90,1),(93,1)}
        85:{1,4,7}:{(71,1),(72,1),(91,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(80,1),(94,1),(95,1),(103,1)}
        88:{2,4}:{(75,1),(81,1)}
        89:{1,2,5,6}:{(77,1),(78,1),(79,1),(82,1),(96,1),(99,1),(103,1)}
        90:{3,6}:{(79,1),(80,1)}
        91:{3,4,7}:{(80,1),(81,1),(85,1),(95,1),(97,1),(98,1)}
        92:{3,5,7}:{(82,1),(83,1),(96,1),(98,1)}
        93:{1,4,6}:{(84,1),(85,1),(97,1),(99,1)}
        94:{2,3,6}:{(86,1),(87,1),(90,1),(100,1)}
        95:{2,4,7}:{(87,1),(88,1),(91,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(92,1),(101,1),(102,1)}
        97:{3,4,6}:{(90,1),(91,1),(93,1),(100,1),(101,1),(102,1)}
        98:{4,7}:{(92,1),(101,1)}
        99:{1,5}:{(93,1),(102,1)}
       100:{2,4,6}:{(94,1),(95,1),(97,1),(103,1)}
       101:{4,6}:{(96,1),(98,1),(104,1)}
       102:{3,5}:{(97,1),(99,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1112 :   0:{4,5,6,7}:{(3,1),(58,1),(226,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(6,1),(29,1),(107,1),(171,1),(210,1)}
         2:{1,3,4,5}:{(7,1),(8,1),(65,1),(70,1),(120,1)}
         3:{3,5,6,7}:{(0,1),(9,1),(10,1),(11,1),(221,1)}
         4:{3,4,5,7}:{(1,1),(9,1),(12,1),(13,1),(43,1),(80,1)}
         5:{1,4,5,6}:{(1,1),(12,1),(14,1),(149,1),(197,1)}
         6:{2,4,5,6}:{(1,1),(13,1),(15,1),(185,1),(216,1)}
         7:{1,3,4,6}:{(2,1),(14,1),(17,1),(18,1),(46,1)}
         8:{1,2,4,5}:{(2,1),(18,1),(19,1),(50,1),(86,1),(92,1)}
         9:{3,4,6,7}:{(3,1),(4,1),(21,1),(22,1),(57,1),(58,1),(210,1)}
        10:{1,5,6,7}:{(3,1),(21,1),(213,1)}
        11:{2,5,6,7}:{(3,1),(22,1),(224,1)}
        12:{1,4,5,7}:{(4,1),(5,1),(21,1),(24,1)}
        13:{2,4,5,7}:{(4,1),(6,1),(22,1),(25,1)}
        14:{1,3,5,6}:{(5,1),(7,1),(24,1),(27,1),(29,1),(120,1),(175,1)}
        15:{2,3,5,6}:{(6,1),(20,1),(25,1),(28,1),(29,1),(159,1),(203,1)}
        16:{1,2,4,5,6}:{(5,1),(6,1),(26,1),(27,1),(28,1),(29,1),(63,1),(64,1),(107,1),(113,1),(164,1),(165,1),(168,1)}
        17:{1,3,4,7}:{(7,1),(24,1),(30,1),(61,1)}
        18:{1,2,4,6}:{(7,1),(8,1),(27,1),(30,1),(31,1),(63,1)}
        19:{2,3,5}:{(8,1),(31,1),(33,1)}
        20:{2,3,4,6}:{(15,1),(34,1),(35,1),(36,1),(46,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(12,1),(37,1),(197,1)}
        22:{2,4,6,7}:{(9,1),(11,1),(13,1),(38,1),(216,1)}
        23:{1,2,5,6,7}:{(10,1),(11,1),(39,1),(40,1),(133,1),(134,1),(189,1)}
        24:{1,3,5,7}:{(12,1),(14,1),(17,1),(37,1),(41,1),(43,1)}
        25:{2,3,5,7}:{(13,1),(15,1),(35,1),(38,1),(42,1),(43,1)}
        26:{1,2,4,5,7}:{(12,1),(13,1),(16,1),(39,1),(41,1),(42,1),(43,1),(80,1),(82,1),(83,1),(133,1),(134,1)}
        27:{1,2,5,6}:{(14,1),(18,1),(41,1),(44,1),(92,1),(147,1)}
        28:{1,2,5,6}:{(15,1),(36,1),(42,1),(45,1),(130,1),(183,1)}
        29:{3,5,6}:{(16,1),(43,1),(46,1),(142,1),(193,1)}
        30:{1,2,4,7}:{(17,1),(18,1),(41,1),(47,1),(82,1)}
        31:{2,3,6}:{(18,1),(19,1),(47,1)}
        32:{1,2,3,5}:{(19,1),(48,1),(50,1),(92,1),(94,1)}
        33:{2,3,4}:{(19,1),(50,1)}
        34:{2,3,4,5}:{(20,1),(52,1),(65,1),(153,1),(159,1)}
        35:{2,3,4,7}:{(20,1),(25,1),(53,1),(61,1)}
        36:{1,2,4,6}:{(20,1),(28,1),(52,1),(53,1),(54,1),(64,1)}
        37:{1,3,6,7}:{(21,1),(24,1),(55,1),(57,1),(175,1)}
        38:{2,3,6,7}:{(22,1),(25,1),(56,1),(57,1),(203,1)}
        39:{1,2,4,6,7}:{(21,1),(22,1),(23,1),(26,1),(55,1),(56,1),(57,1),(58,1),(104,1),(105,1),(168,1)}
        40:{3,5,6,7}:{(23,1),(57,1),(58,1),(106,1),(208,1)}
        41:{1,2,5,7}:{(24,1),(27,1),(30,1),(55,1),(59,1)}
        42:{1,2,5,7}:{(25,1),(28,1),(53,1),(56,1),(60,1)}
        43:{3,5,7}:{(26,1),(29,1),(57,1),(61,1)}
        44:{2,3,5,6}:{(27,1),(29,1),(31,1),(59,1),(63,1),(69,1),(119,1),(164,1)}
        45:{1,3,5,6}:{(28,1),(29,1),(54,1),(60,1),(64,1),(102,1),(158,1),(165,1)}
        46:{3,4,6}:{(29,1),(61,1),(63,1),(64,1),(65,1)}
        47:{2,3,7}:{(30,1),(31,1)}
        48:{1,2,3,6}:{(31,1),(32,1),(66,1),(68,1),(123,1)}
        49:{2,3,4,6}:{(31,1),(33,1),(63,1),(67,1),(68,1),(69,1),(112,1),(119,1)}
        50:{1,2,4}:{(32,1),(33,1),(70,1)}
        51:{2,3,4,5}:{(33,1),(69,1),(71,1),(72,1),(171,1)}
        52:{1,2,4,5}:{(34,1),(36,1),(73,1),(87,1),(125,1),(130,1)}
        53:{1,2,4,7}:{(35,1),(36,1),(42,1),(74,1),(83,1)}
        54:{1,3,6}:{(36,1),(73,1),(74,1)}
        55:{1,2,6,7}:{(37,1),(41,1),(77,1),(147,1)}
        56:{1,2,6,7}:{(38,1),(42,1),(78,1),(183,1)}
        57:{3,6,7}:{(39,1),(43,1),(193,1)}
        58:{4,6,7}:{(40,1),(80,1),(219,1)}
        59:{2,3,5,7}:{(41,1),(43,1),(44,1),(47,1),(77,1),(82,1),(133,1)}
        60:{1,3,5,7}:{(42,1),(43,1),(45,1),(74,1),(78,1),(83,1),(134,1)}
        61:{3,4,7}:{(43,1),(46,1),(82,1),(83,1)}
        62:{1,2,3,5,6}:{(44,1),(45,1),(48,1),(75,1),(81,1),(85,1),(92,1),(130,1),(142,1),(147,1),(150,1),(183,1),(186,1),(189,1),(193,1)}
        63:{2,4,6}:{(44,1),(46,1),(82,1),(86,1)}
        64:{1,4,6}:{(45,1),(46,1),(83,1),(87,1)}
        65:{3,4,5}:{(46,1),(86,1),(87,1),(142,1)}
        66:{1,2,3,7}:{(47,1),(48,1),(89,1),(152,1)}
        67:{2,3,4,7}:{(47,1),(49,1),(82,1),(89,1),(90,1),(137,1)}
        68:{1,2,4,6}:{(48,1),(49,1),(50,1),(89,1),(91,1),(92,1),(147,1)}
        69:{2,3,5}:{(49,1),(86,1),(92,1),(142,1)}
        70:{1,3,4}:{(50,1),(94,1)}
        71:{1,2,4,5}:{(50,1),(51,1),(92,1),(94,1),(95,1),(149,1)}
        72:{2,3,4,6}:{(51,1),(93,1),(95,1),(96,1),(195,1)}
        73:{1,3,5}:{(52,1),(54,1),(98,1)}
        74:{1,3,7}:{(53,1),(54,1)}
        75:{1,2,3,6}:{(54,1),(97,1),(99,1),(101,1),(200,1)}
        76:{1,3,4,6}:{(54,1),(64,1),(98,1),(100,1),(101,1),(102,1),(112,1),(158,1)}
        77:{2,3,6,7}:{(55,1),(57,1),(59,1),(104,1),(119,1)}
        78:{1,3,6,7}:{(56,1),(57,1),(60,1),(105,1),(158,1)}
        79:{3,4,6,7}:{(57,1),(58,1),(61,1),(104,1),(105,1),(106,1),(111,1)}
        80:{4,5,7}:{(58,1),(106,1),(107,1)}
        81:{1,2,3,5,7}:{(59,1),(60,1),(62,1),(66,1),(99,1),(103,1),(108,1),(118,1),(157,1),(163,1),(167,1),(178,1),(206,1)}
        82:{2,4,7}:{(59,1),(61,1),(63,1)}
        83:{1,4,7}:{(60,1),(61,1),(64,1)}
        84:{3,4,5,7}:{(61,1),(65,1),(106,1),(109,1),(110,1),(111,1),(167,1),(207,1)}
        85:{1,2,4,6}:{(62,1),(63,1),(64,1),(108,1),(112,1),(113,1),(177,1),(205,1)}
        86:{2,4,5}:{(63,1),(65,1),(69,1)}
        87:{1,4,5}:{(64,1),(65,1),(102,1)}
        88:{3,4,5,6}:{(65,1),(111,1),(114,1),(115,1),(116,1),(172,1),(226,1)}
        89:{1,2,4,7}:{(66,1),(67,1),(68,1),(117,1),(118,1)}
        90:{2,3,5,7}:{(67,1),(69,1),(109,1),(118,1),(119,1),(167,1)}
        91:{1,3,4,6}:{(68,1),(70,1),(112,1),(117,1),(120,1),(123,1),(175,1),(177,1)}
        92:{1,2,5}:{(68,1),(69,1),(120,1)}
        93:{2,3,5,6}:{(69,1),(72,1),(114,1),(119,1),(121,1),(122,1),(172,1)}
        94:{1,3,5}:{(70,1),(71,1),(123,1)}
        95:{1,2,4,6}:{(71,1),(72,1),(121,1),(123,1),(124,1),(177,1)}
        96:{2,3,4,7}:{(72,1),(122,1),(124,1),(212,1)}
        97:{1,2,3,5}:{(73,1),(75,1),(125,1),(130,1),(179,1)}
        98:{1,3,4}:{(73,1),(125,1)}
        99:{1,2,3,7}:{(74,1),(75,1),(127,1),(215,1)}
       100:{1,3,4,7}:{(74,1),(76,1),(83,1),(127,1),(128,1),(137,1)}
       101:{1,2,4,6}:{(75,1),(76,1),(125,1),(127,1),(129,1),(130,1),(183,1)}
       102:{1,3,5}:{(76,1),(87,1),(130,1),(142,1)}
       103:{1,2,3,6,7}:{(77,1),(78,1),(81,1),(132,1),(147,1),(183,1),(193,1),(198,1),(217,1)}
       104:{2,4,6,7}:{(77,1),(79,1),(82,1),(133,1),(139,1)}
       105:{1,4,6,7}:{(78,1),(79,1),(83,1),(134,1),(140,1)}
       106:{3,5,7}:{(79,1),(80,1),(133,1),(134,1),(135,1)}
       107:{4,5,6}:{(80,1),(135,1),(219,1)}
       108:{1,2,4,7}:{(81,1),(82,1),(83,1),(85,1),(137,1),(199,1),(218,1)}
       109:{2,4,5,7}:{(82,1),(84,1),(86,1),(90,1),(133,1),(139,1)}
       110:{1,4,5,7}:{(83,1),(84,1),(87,1),(128,1),(134,1),(140,1)}
       111:{3,4,6}:{(84,1),(135,1),(139,1),(140,1),(193,1),(219,1)}
       112:{3,4,6}:{(85,1),(137,1),(142,1),(193,1)}
       113:{1,2,4,5}:{(85,1),(86,1),(87,1),(92,1),(130,1),(142,1),(149,1),(185,1)}
       114:{2,4,5,6}:{(86,1),(88,1),(93,1),(139,1),(144,1)}
       115:{1,4,5,6}:{(87,1),(88,1),(131,1),(140,1),(145,1)}
       116:{3,4,5,7}:{(88,1),(141,1),(144,1),(145,1),(196,1),(230,1)}
       117:{1,3,4,7}:{(89,1),(91,1),(137,1),(146,1),(152,1),(199,1)}
       118:{1,2,5,7}:{(89,1),(90,1),(92,1),(146,1),(147,1)}
       119:{2,3,6}:{(90,1),(139,1),(147,1),(193,1)}
       120:{1,3,5}:{(91,1),(92,1),(142,1),(149,1)}
       121:{1,2,5,6}:{(92,1),(93,1),(95,1),(147,1),(150,1),(151,1)}
       122:{2,3,5,7}:{(93,1),(96,1),(144,1),(148,1),(151,1),(196,1)}
       123:{1,3,6}:{(94,1),(95,1),(152,1)}
       124:{1,2,4,7}:{(95,1),(96,1),(151,1),(152,1),(199,1)}
       125:{1,2,4}:{(97,1),(98,1),(153,1)}
       126:{1,3,4,5}:{(98,1),(102,1),(154,1),(155,1),(171,1)}
       127:{1,2,4,7}:{(99,1),(100,1),(101,1),(156,1),(157,1)}
       128:{1,3,5,7}:{(100,1),(102,1),(110,1),(157,1),(158,1),(167,1)}
       129:{2,3,4,6}:{(101,1),(112,1),(153,1),(156,1),(159,1),(200,1),(203,1),(205,1)}
       130:{1,2,5}:{(101,1),(102,1),(159,1)}
       131:{1,3,5,6}:{(102,1),(115,1),(155,1),(158,1),(160,1),(161,1),(172,1)}
       132:{1,2,4,6,7}:{(103,1),(104,1),(105,1),(108,1),(162,1),(163,1),(168,1),(214,1),(225,1)}
       133:{2,5,7}:{(104,1),(106,1),(164,1)}
       134:{1,5,7}:{(105,1),(106,1),(165,1)}
       135:{3,5,6}:{(106,1),(107,1),(111,1),(164,1),(165,1)}
       136:{4,5,6,7}:{(107,1),(166,1),(227,1)}
       137:{3,4,7}:{(108,1),(112,1),(167,1)}
       138:{1,2,4,5,7}:{(108,1),(109,1),(110,1),(113,1),(118,1),(157,1),(163,1),(167,1),(168,1),(174,1),(202,1),(207,1)}
       139:{2,4,6}:{(109,1),(111,1),(119,1),(164,1)}
       140:{1,4,6}:{(110,1),(111,1),(158,1),(165,1)}
       141:{3,4,6,7}:{(111,1),(116,1),(166,1),(169,1),(170,1),(211,1),(227,1)}
       142:{3,5}:{(112,1),(113,1)}
       143:{1,2,4,5,6}:{(113,1),(114,1),(115,1),(121,1),(160,1),(168,1),(172,1),(173,1),(177,1),(205,1),(213,1),(224,1),(226,1)}
       144:{2,4,5,7}:{(114,1),(116,1),(122,1),(169,1)}
       145:{1,4,5,7}:{(115,1),(116,1),(161,1),(170,1)}
       146:{1,3,5,7}:{(117,1),(118,1),(120,1),(167,1),(174,1),(175,1)}
       147:{1,2,6}:{(118,1),(119,1),(175,1)}
       148:{2,3,6,7}:{(119,1),(122,1),(169,1),(176,1),(211,1)}
       149:{1,4,5}:{(120,1),(171,1),(177,1)}
       150:{1,3,5,6}:{(120,1),(121,1),(123,1),(172,1),(175,1),(177,1),(178,1),(213,1)}
       151:{1,2,5,7}:{(121,1),(122,1),(124,1),(176,1),(178,1)}
       152:{1,3,7}:{(123,1),(124,1)}
       153:{2,3,4}:{(125,1),(179,1)}
       154:{1,2,4,5}:{(125,1),(126,1),(130,1),(179,1),(180,1),(185,1)}
       155:{1,3,4,6}:{(126,1),(131,1),(180,1),(181,1),(195,1)}
       156:{2,3,4,7}:{(127,1),(129,1),(137,1),(182,1),(215,1),(218,1)}
       157:{1,2,5,7}:{(127,1),(128,1),(130,1),(182,1),(183,1)}
       158:{1,3,6}:{(128,1),(140,1),(183,1),(193,1)}
       159:{2,3,5}:{(129,1),(130,1),(142,1),(185,1)}
       160:{1,2,5,6}:{(130,1),(131,1),(180,1),(183,1),(186,1),(187,1)}
       161:{1,3,5,7}:{(131,1),(145,1),(181,1),(184,1),(187,1),(196,1)}
       162:{3,4,6,7}:{(132,1),(137,1),(188,1),(193,1),(219,1)}
       163:{1,2,5,7}:{(132,1),(133,1),(134,1),(188,1),(189,1),(223,1),(229,1)}
       164:{2,5,6}:{(133,1),(135,1),(139,1)}
       165:{1,5,6}:{(134,1),(135,1),(140,1)}
       166:{3,5,6,7}:{(135,1),(136,1),(141,1),(190,1),(191,1)}
       167:{3,5,7}:{(137,1),(138,1),(142,1),(193,1)}
       168:{1,2,4,6}:{(138,1),(139,1),(140,1),(147,1),(183,1),(189,1),(193,1),(197,1),(216,1),(219,1)}
       169:{2,4,6,7}:{(139,1),(141,1),(144,1),(148,1),(190,1)}
       170:{1,4,6,7}:{(140,1),(141,1),(145,1),(184,1),(191,1)}
       171:{3,4,5}:{(142,1),(149,1),(185,1),(195,1)}
       172:{3,5,6}:{(142,1),(143,1),(193,1),(195,1),(196,1)}
       173:{1,2,4,5,7}:{(143,1),(144,1),(145,1),(151,1),(187,1),(194,1),(196,1),(199,1),(218,1),(223,1),(229,1),(230,1)}
       174:{1,4,5,7}:{(146,1),(149,1),(192,1),(197,1),(199,1),(223,1)}
       175:{1,3,6}:{(146,1),(147,1),(193,1),(197,1)}
       176:{1,2,6,7}:{(147,1),(148,1),(151,1),(198,1)}
       177:{1,4,6}:{(149,1),(150,1),(195,1),(199,1)}
       178:{1,3,5,7}:{(150,1),(151,1),(152,1),(196,1),(198,1),(199,1),(223,1)}
       179:{2,3,5}:{(153,1),(154,1),(200,1)}
       180:{1,2,4,6}:{(154,1),(155,1),(160,1),(200,1),(201,1),(205,1)}
       181:{1,3,4,7}:{(155,1),(161,1),(201,1),(212,1)}
       182:{2,3,5,7}:{(156,1),(157,1),(159,1),(167,1),(202,1),(203,1)}
       183:{1,2,6}:{(157,1),(158,1),(203,1)}
       184:{1,3,6,7}:{(158,1),(161,1),(170,1),(204,1),(211,1)}
       185:{2,4,5}:{(159,1),(171,1),(205,1)}
       186:{2,3,5,6}:{(159,1),(160,1),(172,1),(200,1),(203,1),(205,1),(206,1),(224,1)}
       187:{1,2,5,7}:{(160,1),(161,1),(201,1),(204,1),(206,1)}
       188:{3,5,7}:{(162,1),(163,1),(207,1),(208,1)}
       189:{1,2,5,6}:{(163,1),(164,1),(165,1),(168,1),(208,1),(213,1),(224,1)}
       190:{2,5,6,7}:{(164,1),(166,1),(169,1)}
       191:{1,5,6,7}:{(165,1),(166,1),(170,1)}
       192:{3,4,5,7}:{(167,1),(171,1),(174,1),(202,1),(207,1),(210,1),(212,1),(228,1)}
       193:{3,6}:{(167,1),(168,1)}
       194:{1,2,4,6,7}:{(168,1),(169,1),(170,1),(173,1),(176,1),(204,1),(209,1),(211,1),(214,1),(225,1),(227,1)}
       195:{3,4,6}:{(171,1),(172,1),(177,1),(205,1),(212,1)}
       196:{3,5,7}:{(172,1),(173,1),(211,1),(212,1)}
       197:{1,4,6}:{(174,1),(175,1),(210,1),(213,1)}
       198:{1,3,6,7}:{(175,1),(176,1),(178,1),(211,1),(214,1)}
       199:{1,4,7}:{(177,1),(178,1),(212,1)}
       200:{2,3,6}:{(179,1),(180,1),(215,1)}
       201:{1,2,4,7}:{(180,1),(181,1),(187,1),(215,1),(218,1)}
       202:{2,4,5,7}:{(182,1),(185,1),(192,1),(216,1),(218,1),(229,1)}
       203:{2,3,6}:{(182,1),(183,1),(193,1),(216,1)}
       204:{1,2,6,7}:{(183,1),(184,1),(187,1),(217,1)}
       205:{2,4,6}:{(185,1),(186,1),(195,1),(218,1)}
       206:{2,3,5,7}:{(186,1),(187,1),(196,1),(215,1),(217,1),(218,1),(229,1)}
       207:{4,5,7}:{(188,1),(219,1)}
       208:{3,5,6}:{(188,1),(189,1),(193,1),(219,1)}
       209:{1,2,5,6,7}:{(189,1),(190,1),(191,1),(194,1),(220,1),(223,1),(229,1)}
       210:{3,4,6}:{(192,1),(193,1),(197,1),(216,1),(219,1),(221,1)}
       211:{3,6,7}:{(193,1),(194,1),(196,1)}
       212:{3,4,7}:{(195,1),(196,1),(199,1),(218,1)}
       213:{1,5,6}:{(197,1),(221,1),(223,1)}
       214:{1,4,6,7}:{(197,1),(198,1),(199,1),(222,1),(223,1)}
       215:{2,3,7}:{(200,1),(201,1)}
       216:{2,4,6}:{(202,1),(203,1),(210,1),(224,1)}
       217:{2,3,6,7}:{(203,1),(204,1),(206,1),(211,1),(225,1)}
       218:{2,4,7}:{(205,1),(206,1),(212,1)}
       219:{4,6}:{(207,1),(208,1)}
       220:{3,5,6,7}:{(208,1),(209,1),(211,1),(227,1),(228,1)}
       221:{3,5,6}:{(210,1),(213,1),(224,1),(226,1),(228,1)}
       222:{3,4,6,7}:{(210,1),(211,1),(212,1),(214,1),(225,1),(227,1),(228,1)}
       223:{1,5,7}:{(213,1),(214,1),(228,1)}
       224:{2,5,6}:{(216,1),(221,1),(229,1)}
       225:{2,4,6,7}:{(216,1),(217,1),(218,1),(222,1),(229,1)}
       226:{4,5,6}:{(219,1),(221,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{3,5,7}:{(221,1),(222,1),(223,1),(229,1),(230,1)}
       229:{2,5,7}:{(224,1),(225,1),(228,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

1113 :   0:{1,3,4,5,7}:{(1,1),(2,1),(11,1),(41,1),(81,1),(85,1),(93,1),(124,1),(129,1),(132,1)}
         1:{1,3,4,6}:{(0,1),(6,1),(7,1),(69,1),(151,1),(156,1),(158,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(24,1),(27,1),(59,1),(66,1),(70,1)}
         3:{1,4,5,6,7}:{(9,1),(33,1),(172,1)}
         4:{1,3,4,6,7}:{(1,1),(11,1),(12,1),(33,1),(74,1),(81,1),(121,1)}
         5:{3,4,5,6}:{(10,1),(14,1),(15,1),(47,1),(137,1),(174,1)}
         6:{1,3,5,6}:{(1,1),(11,1),(14,1),(16,1),(47,1),(85,1),(170,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(48,1)}
         8:{2,3,5,7}:{(2,1),(17,1),(18,1),(49,1),(129,1)}
         9:{3,5,6,7}:{(3,1),(19,1),(21,1),(190,1)}
        10:{3,4,5,7}:{(5,1),(19,1),(22,1),(23,1),(58,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(22,1),(24,1),(58,1),(147,1)}
        12:{1,2,4,6,7}:{(4,1),(7,1),(24,1),(25,1),(59,1)}
        13:{1,2,3,5,7}:{(8,1),(26,1),(27,1),(63,1),(66,1)}
        14:{1,4,5,6}:{(5,1),(6,1),(22,1),(109,1),(151,1)}
        15:{2,4,5,6}:{(5,1),(23,1),(28,1),(161,1),(192,1)}
        16:{1,2,5,6}:{(6,1),(7,1),(24,1),(30,1),(66,1)}
        17:{2,3,6}:{(7,1),(8,1),(156,1)}
        18:{2,3,4,7}:{(8,1),(27,1),(31,1),(59,1),(101,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(33,1),(34,1),(74,1),(174,1)}
        20:{1,3,5,6,7}:{(9,1),(11,1),(33,1),(35,1),(74,1),(125,1)}
        21:{2,5,6,7}:{(9,1),(34,1),(202,1)}
        22:{1,4,5,7}:{(10,1),(11,1),(14,1),(33,1)}
        23:{2,4,5,7}:{(10,1),(15,1),(34,1),(37,1)}
        24:{1,2,5,7}:{(11,1),(12,1),(16,1),(39,1)}
        25:{2,3,6,7}:{(12,1),(17,1),(39,1),(74,1)}
        26:{1,2,3,6}:{(13,1),(17,1),(44,1),(86,1)}
        27:{1,2,4,7}:{(13,1),(18,1),(41,1),(44,1)}
        28:{2,3,5,6}:{(15,1),(37,1),(42,1),(46,1),(47,1),(141,1),(177,1)}
        29:{1,2,4,5,6}:{(14,1),(15,1),(16,1),(38,1),(46,1),(47,1),(48,1),(89,1),(92,1),(123,1),(130,1),(170,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(39,1),(47,1),(48,1),(49,1)}
        31:{2,3,4,6}:{(17,1),(18,1),(44,1),(48,1),(49,1),(88,1)}
        32:{2,3,4,5,7}:{(18,1),(45,1),(49,1),(50,1),(82,1),(95,1),(129,1),(137,1),(173,1),(185,1)}
        33:{1,4,6,7}:{(19,1),(20,1),(22,1),(151,1)}
        34:{2,4,6,7}:{(19,1),(21,1),(23,1),(51,1),(192,1)}
        35:{1,2,5,6,7}:{(20,1),(21,1),(24,1),(52,1),(53,1),(103,1),(147,1)}
        36:{1,2,3,6,7}:{(25,1),(26,1),(55,1),(56,1),(96,1),(111,1),(156,1),(194,1),(195,1)}
        37:{2,3,5,7}:{(23,1),(28,1),(51,1),(54,1),(57,1),(58,1)}
        38:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(29,1),(52,1),(57,1),(58,1),(59,1),(98,1),(104,1),(147,1)}
        39:{2,3,5,7}:{(24,1),(25,1),(30,1),(58,1),(59,1)}
        40:{2,3,4,6,7}:{(25,1),(31,1),(56,1),(59,1),(60,1),(97,1),(101,1),(106,1),(156,1)}
        41:{1,3,4,7}:{(27,1),(62,1),(63,1),(101,1),(164,1)}
        42:{2,3,4,6}:{(28,1),(54,1),(61,1),(64,1),(69,1)}
        43:{1,2,3,5,6}:{(26,1),(30,1),(55,1),(65,1),(66,1),(68,1),(103,1),(110,1),(112,1),(115,1),(156,1),(165,1),(166,1),(194,1)}
        44:{1,2,4,6}:{(26,1),(27,1),(31,1),(62,1),(66,1)}
        45:{1,2,4,5,7}:{(27,1),(32,1),(63,1),(66,1),(67,1),(109,1),(117,1),(164,1)}
        46:{1,2,5,6}:{(28,1),(57,1),(64,1),(68,1),(165,1),(194,1)}
        47:{3,5,6}:{(29,1),(58,1),(69,1),(115,1),(156,1)}
        48:{2,4,6}:{(30,1),(59,1),(69,1),(70,1)}
        49:{2,3,5}:{(31,1),(66,1),(70,1),(115,1)}
        50:{2,3,4,6}:{(32,1),(67,1),(71,1),(106,1),(156,1),(163,1),(192,1)}
        51:{2,3,6,7}:{(34,1),(37,1),(73,1),(74,1),(177,1)}
        52:{1,2,4,6,7}:{(33,1),(34,1),(35,1),(38,1),(73,1),(74,1),(75,1),(121,1),(130,1)}
        53:{2,3,5,6,7}:{(35,1),(39,1),(74,1),(75,1),(83,1),(122,1)}
        54:{2,3,4,7}:{(37,1),(42,1),(77,1),(81,1)}
        55:{1,2,3,5,7}:{(36,1),(39,1),(43,1),(78,1),(79,1),(80,1),(126,1),(129,1),(139,1),(176,1),(187,1)}
        56:{1,2,4,6,7}:{(36,1),(40,1),(44,1),(76,1),(78,1),(79,1),(121,1),(130,1),(204,1)}
        57:{1,2,5,7}:{(37,1),(46,1),(73,1),(77,1),(80,1)}
        58:{3,5,7}:{(38,1),(47,1),(74,1),(81,1)}
        59:{2,4,7}:{(39,1),(48,1),(81,1)}
        60:{2,3,5,7}:{(40,1),(49,1),(79,1),(82,1),(83,1),(122,1),(129,1)}
        61:{2,3,4,5}:{(42,1),(84,1),(93,1),(141,1),(181,1)}
        62:{1,3,4,6}:{(41,1),(44,1),(85,1),(86,1),(88,1),(138,1)}
        63:{1,3,5,7}:{(41,1),(45,1),(85,1),(86,1),(129,1)}
        64:{1,2,4,6}:{(42,1),(46,1),(77,1),(84,1),(87,1),(92,1)}
        65:{1,2,4,6}:{(43,1),(48,1),(78,1),(88,1),(89,1),(92,1),(138,1),(183,1)}
        66:{1,2,5}:{(44,1),(49,1),(85,1)}
        67:{1,2,4,6}:{(45,1),(50,1),(86,1),(90,1),(138,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(80,1),(87,1),(92,1),(142,1),(170,1),(178,1)}
        69:{3,4,6}:{(47,1),(48,1),(81,1),(92,1),(93,1)}
        70:{2,4,5}:{(48,1),(49,1),(93,1)}
        71:{2,3,5,6}:{(49,1),(50,1),(90,1),(94,1),(95,1),(143,1),(202,1)}
        72:{2,3,4,6,7}:{(50,1),(91,1),(95,1),(134,1),(179,1),(185,1),(204,1)}
        73:{1,2,6,7}:{(51,1),(57,1),(96,1),(194,1)}
        74:{3,6,7}:{(52,1),(58,1),(156,1)}
        75:{2,4,6,7}:{(53,1),(59,1),(97,1),(98,1),(106,1)}
        76:{1,3,4,6,7}:{(56,1),(62,1),(99,1),(101,1),(111,1),(151,1),(156,1),(164,1),(193,1)}
        77:{1,2,4,7}:{(54,1),(57,1),(64,1),(100,1),(104,1)}
        78:{1,2,4,7}:{(55,1),(59,1),(65,1),(101,1),(104,1),(164,1),(199,1)}
        79:{1,2,5,7}:{(56,1),(60,1),(66,1),(99,1),(103,1),(147,1),(208,1)}
        80:{1,3,5,7}:{(57,1),(58,1),(68,1),(96,1),(100,1),(104,1),(147,1)}
        81:{3,4,7}:{(58,1),(59,1),(69,1),(104,1)}
        82:{2,4,5,7}:{(59,1),(60,1),(70,1),(105,1),(106,1)}
        83:{2,3,5,6}:{(60,1),(103,1),(106,1),(148,1),(156,1)}
        84:{1,2,4,5}:{(61,1),(64,1),(108,1),(118,1),(160,1),(165,1)}
        85:{1,3,5}:{(62,1),(66,1),(109,1),(115,1)}
        86:{1,3,6}:{(63,1),(67,1),(156,1)}
        87:{1,3,6}:{(64,1),(100,1),(108,1)}
        88:{3,4,6}:{(65,1),(101,1),(115,1),(156,1)}
        89:{1,2,4,5}:{(65,1),(66,1),(70,1),(109,1),(115,1),(118,1),(161,1),(165,1)}
        90:{1,2,5,6}:{(66,1),(67,1),(71,1),(110,1),(117,1)}
        91:{1,2,4,6,7}:{(67,1),(72,1),(111,1),(117,1),(164,1)}
        92:{1,4,6}:{(68,1),(69,1),(104,1),(118,1)}
        93:{3,4,5}:{(69,1),(70,1),(115,1),(118,1)}
        94:{2,4,5,6}:{(70,1),(71,1),(106,1),(119,1),(120,1)}
        95:{2,3,5,7}:{(71,1),(72,1),(117,1),(120,1),(168,1),(208,1)}
        96:{1,3,6,7}:{(73,1),(74,1),(80,1),(121,1),(178,1)}
        97:{3,4,6,7}:{(74,1),(75,1),(81,1),(121,1),(122,1),(133,1)}
        98:{2,4,5,7}:{(75,1),(122,1),(123,1)}
        99:{1,3,5,7}:{(76,1),(79,1),(85,1),(124,1),(125,1),(129,1),(203,1)}
       100:{1,3,7}:{(77,1),(87,1)}
       101:{3,4,7}:{(78,1),(88,1),(129,1)}
       102:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(89,1),(124,1),(129,1),(130,1),(132,1),(173,1),(176,1)}
       103:{1,2,5,6}:{(79,1),(83,1),(125,1),(130,1),(170,1),(202,1)}
       104:{1,4,7}:{(80,1),(81,1),(92,1)}
       105:{3,4,5,7}:{(81,1),(82,1),(93,1),(122,1),(129,1),(132,1),(133,1)}
       106:{2,4,6}:{(82,1),(83,1),(133,1)}
       107:{2,3,5,6,7}:{(83,1),(95,1),(131,1),(134,1),(171,1),(179,1)}
       108:{1,3,5}:{(84,1),(87,1),(136,1)}
       109:{1,4,5}:{(85,1),(137,1),(138,1)}
       110:{1,3,5,6}:{(85,1),(86,1),(90,1),(138,1),(139,1),(143,1)}
       111:{1,3,6,7}:{(86,1),(91,1),(139,1),(179,1)}
       112:{1,2,3,6}:{(87,1),(126,1),(135,1),(140,1),(206,1)}
       113:{2,3,4,6}:{(88,1),(127,1),(140,1),(141,1),(177,1),(181,1),(183,1),(206,1)}
       114:{1,3,4,6}:{(87,1),(88,1),(92,1),(128,1),(136,1),(140,1),(142,1),(178,1)}
       115:{3,5}:{(88,1),(89,1)}
       116:{1,2,4,5,6}:{(89,1),(90,1),(94,1),(130,1),(138,1),(143,1),(144,1),(145,1),(172,1),(183,1),(186,1),(202,1)}
       117:{1,2,5,7}:{(90,1),(91,1),(95,1),(139,1)}
       118:{1,4,5}:{(92,1),(93,1),(142,1)}
       119:{3,4,5,6}:{(93,1),(94,1),(133,1),(143,1),(145,1),(146,1)}
       120:{2,4,5,7}:{(94,1),(95,1),(134,1),(146,1)}
       121:{1,4,6,7}:{(96,1),(97,1),(104,1),(147,1),(158,1)}
       122:{3,5,7}:{(97,1),(98,1),(147,1),(148,1)}
       123:{2,4,5,6}:{(98,1),(106,1),(148,1)}
       124:{1,4,5,7}:{(99,1),(109,1),(150,1),(151,1),(164,1)}
       125:{1,3,5,6}:{(99,1),(103,1),(151,1),(156,1),(190,1)}
       126:{1,2,3,7}:{(100,1),(112,1),(153,1),(209,1)}
       127:{2,3,4,7}:{(101,1),(113,1),(153,1),(154,1),(199,1),(209,1)}
       128:{1,3,4,7}:{(100,1),(101,1),(104,1),(114,1),(153,1),(155,1)}
       129:{3,5,7}:{(101,1),(102,1),(115,1),(156,1)}
       130:{1,2,4,6}:{(102,1),(103,1),(106,1),(151,1),(156,1),(158,1),(192,1),(194,1)}
       131:{1,2,5,6,7}:{(103,1),(107,1),(117,1),(152,1),(157,1),(189,1),(208,1)}
       132:{1,4,5,7}:{(104,1),(105,1),(118,1),(147,1),(155,1),(158,1)}
       133:{3,4,6}:{(105,1),(106,1),(148,1),(156,1),(158,1)}
       134:{2,4,6,7}:{(106,1),(107,1),(120,1),(159,1)}
       135:{1,2,3,5}:{(108,1),(112,1),(160,1),(165,1),(197,1)}
       136:{1,3,4}:{(108,1),(160,1)}
       137:{3,4,5}:{(109,1),(115,1),(161,1),(163,1)}
       138:{1,4,6}:{(109,1),(110,1),(163,1),(164,1)}
       139:{1,3,5,7}:{(110,1),(111,1),(117,1),(164,1),(168,1)}
       140:{1,2,4,6}:{(112,1),(113,1),(114,1),(153,1),(160,1),(165,1),(194,1)}
       141:{2,3,5}:{(113,1),(115,1),(161,1),(165,1)}
       142:{1,3,5}:{(114,1),(115,1),(118,1),(165,1)}
       143:{3,5,6}:{(115,1),(116,1),(156,1),(163,1),(168,1)}
       144:{1,2,4,5,7}:{(116,1),(117,1),(120,1),(157,1),(164,1),(168,1),(169,1),(191,1),(199,1),(201,1),(208,1)}
       145:{1,4,5,6}:{(118,1),(119,1),(158,1),(167,1),(169,1)}
       146:{3,4,5,7}:{(119,1),(120,1),(159,1),(168,1),(169,1)}
       147:{1,5,7}:{(121,1),(122,1),(170,1)}
       148:{3,5,6}:{(122,1),(123,1),(133,1),(170,1)}
       149:{2,4,5,6,7}:{(123,1),(134,1),(171,1)}
       150:{3,4,5,7}:{(124,1),(129,1),(137,1),(173,1),(174,1),(185,1),(203,1)}
       151:{1,4,6}:{(124,1),(125,1),(174,1)}
       152:{1,3,5,6,7}:{(125,1),(131,1),(139,1),(175,1),(179,1),(203,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(128,1),(140,1),(176,1)}
       154:{2,3,5,7}:{(127,1),(129,1),(141,1),(173,1),(176,1),(177,1)}
       155:{1,3,5,7}:{(128,1),(129,1),(132,1),(142,1),(176,1),(178,1)}
       156:{3,6}:{(129,1),(130,1)}
       157:{1,2,4,6,7}:{(130,1),(131,1),(134,1),(144,1),(175,1),(179,1),(180,1),(204,1),(205,1)}
       158:{1,4,6}:{(132,1),(133,1),(170,1),(178,1)}
       159:{3,4,6,7}:{(133,1),(134,1),(146,1),(171,1),(179,1),(180,1)}
       160:{1,2,4}:{(135,1),(136,1),(181,1)}
       161:{2,4,5}:{(137,1),(141,1),(183,1)}
       162:{1,3,4,5}:{(136,1),(137,1),(142,1),(182,1),(184,1)}
       163:{3,4,6}:{(137,1),(138,1),(143,1),(183,1),(185,1)}
       164:{1,4,7}:{(138,1),(139,1),(185,1)}
       165:{1,2,5}:{(140,1),(141,1),(142,1)}
       166:{2,3,5,6}:{(141,1),(143,1),(177,1),(183,1),(186,1),(187,1),(202,1),(206,1)}
       167:{1,3,5,6}:{(142,1),(143,1),(145,1),(178,1),(184,1),(186,1),(188,1)}
       168:{3,5,7}:{(143,1),(144,1),(179,1),(185,1)}
       169:{1,4,5,7}:{(145,1),(146,1),(180,1),(188,1)}
       170:{1,5,6}:{(147,1),(148,1),(158,1)}
       171:{3,5,6,7}:{(148,1),(149,1),(159,1),(189,1)}
       172:{1,4,5,6}:{(151,1),(190,1),(191,1)}
       173:{2,4,5,7}:{(150,1),(154,1),(161,1),(192,1),(199,1),(208,1)}
       174:{3,4,6}:{(150,1),(151,1),(156,1),(190,1),(192,1)}
       175:{1,4,6,7}:{(151,1),(152,1),(164,1),(191,1),(193,1)}
       176:{1,2,5,7}:{(153,1),(154,1),(155,1),(165,1),(194,1)}
       177:{2,3,6}:{(154,1),(156,1),(192,1),(194,1)}
       178:{1,3,6}:{(155,1),(156,1),(158,1),(194,1)}
       179:{3,6,7}:{(156,1),(157,1),(168,1)}
       180:{1,4,6,7}:{(158,1),(159,1),(169,1),(189,1),(196,1)}
       181:{2,3,4}:{(160,1),(197,1)}
       182:{1,2,4,5}:{(160,1),(161,1),(162,1),(165,1),(197,1),(198,1)}
       183:{2,4,6}:{(161,1),(163,1),(166,1),(199,1)}
       184:{1,3,4,6}:{(162,1),(163,1),(167,1),(198,1),(200,1)}
       185:{3,4,7}:{(163,1),(164,1),(168,1),(199,1)}
       186:{1,2,5,6}:{(165,1),(166,1),(167,1),(194,1),(198,1),(201,1)}
       187:{2,3,5,7}:{(166,1),(168,1),(195,1),(199,1),(201,1),(208,1),(209,1)}
       188:{1,3,5,7}:{(167,1),(168,1),(169,1),(196,1),(200,1),(201,1)}
       189:{1,5,6,7}:{(170,1),(171,1),(180,1)}
       190:{3,5,6}:{(172,1),(174,1),(202,1),(203,1)}
       191:{1,4,5,7}:{(172,1),(175,1),(203,1)}
       192:{2,4,6}:{(173,1),(174,1),(177,1),(202,1)}
       193:{3,4,6,7}:{(174,1),(175,1),(179,1),(185,1),(203,1),(204,1)}
       194:{1,2,6}:{(176,1),(177,1),(178,1)}
       195:{2,3,6,7}:{(177,1),(179,1),(187,1),(204,1),(205,1)}
       196:{1,3,6,7}:{(178,1),(179,1),(180,1),(188,1),(205,1)}
       197:{2,3,5}:{(181,1),(182,1),(206,1)}
       198:{1,2,4,6}:{(182,1),(183,1),(184,1),(186,1),(206,1),(207,1)}
       199:{2,4,7}:{(183,1),(185,1),(187,1)}
       200:{1,3,4,7}:{(184,1),(185,1),(188,1),(207,1)}
       201:{1,2,5,7}:{(186,1),(187,1),(188,1),(205,1),(207,1)}
       202:{2,5,6}:{(190,1),(192,1),(208,1)}
       203:{3,5,7}:{(190,1),(191,1),(193,1),(208,1)}
       204:{2,4,6,7}:{(192,1),(193,1),(195,1),(199,1),(208,1)}
       205:{1,2,6,7}:{(194,1),(195,1),(196,1),(201,1)}
       206:{2,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,2,4,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       208:{2,5,7}:{(202,1),(203,1),(204,1)}
       209:{2,3,7}:{(206,1),(207,1)}

1114 :   0:{1,4,5,6}:{(2,1),(3,1),(21,1),(81,1),(83,1)}
         1:{1,3,4,6}:{(5,1),(6,1),(7,1),(21,1),(36,1),(65,1),(78,1),(114,1),(130,1)}
         2:{3,5,6}:{(0,1),(8,1),(10,1),(11,1)}
         3:{1,4,5,7}:{(0,1),(11,1),(12,1),(42,1),(95,1),(97,1)}
         4:{3,4,5}:{(8,1),(13,1),(14,1),(52,1)}
         5:{1,3,5}:{(1,1),(13,1),(16,1),(52,1),(137,1),(153,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(19,1),(57,1),(59,1),(110,1)}
         7:{1,3,4,7}:{(1,1),(17,1),(19,1),(42,1),(93,1),(106,1),(138,1),(188,1)}
         8:{3,4,6}:{(2,1),(4,1),(21,1),(22,1),(23,1),(65,1)}
         9:{1,3,5,6}:{(2,1),(5,1),(21,1),(24,1),(25,1),(36,1),(65,1),(81,1),(131,1)}
        10:{2,5,6}:{(2,1),(22,1),(26,1)}
        11:{3,5,7}:{(2,1),(3,1),(23,1),(26,1),(27,1)}
        12:{1,4,6,7}:{(3,1),(27,1),(28,1),(74,1)}
        13:{1,4,5}:{(4,1),(5,1),(21,1),(173,1)}
        14:{2,4,5}:{(4,1),(22,1),(29,1)}
        15:{3,4,5,7}:{(4,1),(23,1),(31,1),(32,1),(33,1),(69,1),(79,1),(136,1),(163,1),(166,1),(173,1)}
        16:{1,2,5}:{(5,1),(6,1),(34,1),(133,1)}
        17:{1,3,5,7}:{(5,1),(7,1),(31,1),(35,1),(36,1),(79,1),(159,1),(175,1),(194,1)}
        18:{2,3,6}:{(6,1),(34,1),(37,1),(65,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(35,1),(37,1),(84,1),(200,1)}
        20:{2,3,4}:{(29,1),(38,1),(78,1)}
        21:{1,4,6}:{(8,1),(9,1),(13,1),(42,1),(154,1)}
        22:{2,4,6}:{(8,1),(10,1),(14,1),(40,1),(43,1)}
        23:{3,4,7}:{(8,1),(11,1),(42,1),(43,1),(93,1)}
        24:{1,2,5,6}:{(9,1),(10,1),(16,1),(41,1),(45,1),(46,1),(59,1),(137,1),(177,1)}
        25:{1,3,5,7}:{(9,1),(11,1),(42,1),(46,1),(47,1),(93,1),(95,1),(144,1)}
        26:{2,5,7}:{(10,1),(11,1),(43,1),(48,1)}
        27:{3,6,7}:{(11,1),(12,1),(48,1)}
        28:{1,5,6,7}:{(12,1),(49,1),(95,1),(148,1)}
        29:{2,3,5}:{(14,1),(20,1),(40,1),(50,1),(52,1)}
        30:{1,2,4,5}:{(13,1),(14,1),(16,1),(41,1),(50,1),(52,1),(57,1),(98,1),(102,1),(137,1)}
        31:{1,4,5,7}:{(13,1),(15,1),(17,1),(42,1),(54,1),(95,1),(158,1),(181,1)}
        32:{2,4,5,7}:{(14,1),(15,1),(43,1),(51,1),(55,1),(96,1),(113,1),(141,1)}
        33:{3,4,6}:{(15,1),(54,1),(55,1),(56,1),(107,1),(154,1)}
        34:{2,3,5}:{(16,1),(18,1),(52,1),(57,1)}
        35:{1,2,5,7}:{(16,1),(17,1),(19,1),(58,1),(59,1),(190,1),(204,1)}
        36:{1,3,6}:{(17,1),(54,1),(59,1),(107,1),(177,1)}
        37:{2,3,7}:{(18,1),(19,1),(93,1),(206,1)}
        38:{1,2,4}:{(20,1),(50,1),(60,1),(102,1)}
        39:{2,3,4,7}:{(20,1),(51,1),(61,1),(62,1),(106,1),(141,1),(180,1),(203,1)}
        40:{2,3,6}:{(22,1),(29,1),(63,1),(64,1),(65,1)}
        41:{1,2,4,6}:{(21,1),(22,1),(24,1),(30,1),(63,1),(65,1),(66,1),(70,1),(114,1)}
        42:{1,4,7}:{(21,1),(23,1),(25,1),(166,1)}
        43:{2,4,7}:{(22,1),(23,1),(26,1),(64,1)}
        44:{3,4,6,7}:{(23,1),(27,1),(33,1),(67,1),(68,1),(69,1),(74,1),(120,1),(125,1),(163,1),(166,1)}
        45:{2,3,5,6}:{(24,1),(34,1),(65,1),(70,1),(71,1),(85,1),(118,1),(131,1),(133,1),(164,1),(168,1)}
        46:{1,2,5,7}:{(24,1),(25,1),(26,1),(66,1),(71,1),(72,1),(159,1)}
        47:{1,3,6,7}:{(25,1),(27,1),(36,1),(67,1),(72,1),(120,1),(194,1)}
        48:{2,6,7}:{(26,1),(27,1)}
        49:{3,5,6,7}:{(27,1),(28,1),(69,1),(73,1),(74,1),(125,1)}
        50:{1,2,5}:{(29,1),(38,1),(63,1),(75,1)}
        51:{2,3,5,7}:{(29,1),(32,1),(39,1),(64,1),(76,1),(77,1),(79,1),(88,1),(208,1)}
        52:{3,5}:{(30,1),(65,1),(78,1)}
        53:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(66,1),(76,1),(79,1),(80,1),(84,1),(121,1),(123,1),(126,1),(133,1),(135,1),(159,1),(162,1),(166,1),(169,1),(173,1),(192,1),(208,1)}
        54:{1,4,6}:{(31,1),(33,1),(36,1),(81,1)}
        55:{2,4,6}:{(32,1),(33,1),(77,1),(82,1)}
        56:{3,5,6}:{(33,1),(69,1),(81,1),(82,1),(83,1)}
        57:{2,4}:{(34,1),(78,1)}
        58:{2,3,5,7}:{(34,1),(35,1),(37,1),(79,1),(84,1),(85,1),(133,1),(176,1),(195,1),(208,1)}
        59:{1,2,6}:{(35,1),(36,1),(85,1)}
        60:{1,3}:{(38,1)}
        61:{1,2,4,7}:{(38,1),(39,1),(76,1),(86,1),(87,1),(126,1)}
        62:{2,3,4,6}:{(39,1),(77,1),(87,1),(88,1),(129,1),(130,1),(171,1),(174,1),(198,1)}
        63:{1,2,6}:{(40,1),(50,1),(89,1),(90,1)}
        64:{2,3,7}:{(40,1),(43,1),(90,1),(93,1)}
        65:{3,6}:{(41,1),(52,1),(93,1)}
        66:{1,2,4,7}:{(41,1),(42,1),(43,1),(46,1),(90,1),(93,1),(99,1),(138,1)}
        67:{1,4,6,7}:{(42,1),(44,1),(47,1),(54,1),(95,1),(148,1),(181,1)}
        68:{2,4,6,7}:{(43,1),(44,1),(48,1),(55,1),(91,1),(96,1),(141,1)}
        69:{3,5,7}:{(44,1),(56,1),(95,1),(96,1),(97,1)}
        70:{2,4,6}:{(45,1),(57,1),(92,1),(98,1),(99,1),(154,1)}
        71:{2,3,5,7}:{(45,1),(46,1),(93,1),(99,1),(100,1),(142,1),(144,1),(147,1)}
        72:{1,2,6,7}:{(46,1),(47,1),(48,1),(59,1),(100,1),(177,1),(204,1)}
        73:{2,5,6,7}:{(48,1),(49,1),(96,1),(101,1)}
        74:{4,6,7}:{(49,1),(97,1)}
        75:{1,3,5}:{(50,1),(52,1),(60,1),(89,1),(102,1),(137,1)}
        76:{1,2,5,7}:{(50,1),(51,1),(61,1),(90,1),(103,1),(104,1),(112,1)}
        77:{2,3,6}:{(51,1),(55,1),(104,1),(107,1),(209,1)}
        78:{3,4}:{(52,1),(57,1),(102,1)}
        79:{3,5,7}:{(52,1),(53,1),(93,1),(106,1),(107,1),(153,1),(157,1),(180,1)}
        80:{1,2,4,6}:{(53,1),(54,1),(55,1),(59,1),(104,1),(107,1),(108,1),(110,1),(146,1),(149,1),(154,1),(177,1),(201,1),(209,1)}
        81:{1,5,6}:{(54,1),(56,1),(95,1)}
        82:{2,5,6}:{(55,1),(56,1),(96,1)}
        83:{4,5,6}:{(56,1),(97,1),(154,1)}
        84:{2,4,7}:{(57,1),(58,1),(106,1),(110,1),(189,1)}
        85:{2,3,6}:{(58,1),(59,1),(107,1),(110,1),(209,1)}
        86:{1,3,7}:{(60,1),(61,1),(111,1),(180,1)}
        87:{1,2,4,6}:{(61,1),(62,1),(104,1),(111,1),(112,1),(149,1),(156,1)}
        88:{2,3,5}:{(62,1),(112,1),(113,1),(153,1),(157,1),(205,1)}
        89:{1,3,6}:{(63,1),(65,1),(75,1),(114,1),(115,1)}
        90:{1,2,7}:{(63,1),(64,1),(115,1)}
        91:{2,3,6,7}:{(64,1),(68,1),(77,1),(116,1),(117,1),(120,1),(125,1)}
        92:{3,4,6}:{(65,1),(70,1),(78,1),(114,1),(118,1),(119,1),(164,1)}
        93:{3,7}:{(65,1),(66,1)}
        94:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(72,1),(80,1),(116,1),(120,1),(121,1),(124,1),(160,1),(162,1),(166,1)}
        95:{1,5,7}:{(67,1),(69,1),(81,1)}
        96:{2,5,7}:{(68,1),(69,1),(82,1)}
        97:{4,5,7}:{(69,1),(74,1),(83,1),(166,1)}
        98:{2,4,5}:{(70,1),(118,1),(133,1),(173,1)}
        99:{2,4,7}:{(70,1),(71,1),(119,1),(166,1)}
       100:{2,3,6,7}:{(71,1),(72,1),(85,1),(120,1),(124,1),(164,1),(195,1)}
       101:{2,4,6,7}:{(73,1),(74,1),(122,1),(125,1)}
       102:{1,4}:{(75,1),(78,1)}
       103:{1,3,5,7}:{(75,1),(76,1),(79,1),(86,1),(115,1),(126,1),(127,1),(134,1),(159,1),(169,1)}
       104:{1,2,6}:{(76,1),(77,1),(127,1)}
       105:{2,3,5,6}:{(77,1),(82,1),(88,1),(117,1),(128,1),(129,1),(131,1),(132,1),(171,1)}
       106:{3,4,7}:{(78,1),(79,1),(84,1),(126,1),(130,1),(166,1),(174,1)}
       107:{3,6}:{(79,1),(80,1)}
       108:{1,2,5,6}:{(80,1),(81,1),(82,1),(121,1),(131,1),(133,1),(168,1),(169,1),(191,1)}
       109:{2,4,5,6}:{(82,1),(83,1),(122,1),(129,1),(132,1)}
       110:{2,4,6}:{(84,1),(85,1),(130,1),(133,1)}
       111:{1,3,6}:{(86,1),(87,1),(134,1),(171,1)}
       112:{1,2,5}:{(87,1),(88,1),(134,1),(169,1)}
       113:{2,4,5}:{(88,1),(129,1),(136,1),(173,1)}
       114:{1,4,6}:{(89,1),(92,1),(102,1),(137,1),(138,1),(177,1)}
       115:{1,3,7}:{(89,1),(90,1),(93,1),(138,1)}
       116:{1,2,6,7}:{(90,1),(91,1),(104,1),(139,1),(140,1),(148,1),(209,1)}
       117:{2,3,5,7}:{(91,1),(96,1),(105,1),(140,1),(141,1),(144,1),(145,1),(180,1)}
       118:{3,5}:{(92,1),(98,1),(137,1)}
       119:{3,4,7}:{(92,1),(93,1),(99,1),(138,1),(142,1)}
       120:{3,6,7}:{(93,1),(94,1),(107,1),(144,1),(180,1)}
       121:{1,2,5,7}:{(94,1),(95,1),(96,1),(108,1),(144,1),(147,1),(178,1)}
       122:{2,4,5,7}:{(96,1),(97,1),(101,1),(109,1),(141,1),(145,1)}
       123:{2,4,5,7}:{(98,1),(99,1),(142,1),(146,1),(147,1),(183,1)}
       124:{2,4,6,7}:{(99,1),(100,1),(110,1),(143,1),(146,1),(147,1),(203,1),(209,1)}
       125:{3,6,7}:{(101,1),(145,1),(148,1)}
       126:{1,4,7}:{(102,1),(103,1),(106,1),(149,1),(156,1)}
       127:{1,3,6}:{(103,1),(104,1),(107,1),(149,1),(177,1)}
       128:{1,2,5,6}:{(104,1),(105,1),(112,1),(140,1),(150,1),(151,1),(155,1),(205,1),(209,1)}
       129:{2,4,6}:{(105,1),(113,1),(141,1),(152,1),(154,1)}
       130:{3,4,6}:{(106,1),(107,1),(110,1),(149,1),(153,1),(154,1)}
       131:{3,5,6}:{(107,1),(108,1),(144,1),(153,1),(154,1)}
       132:{3,5,6}:{(109,1),(145,1),(152,1),(155,1)}
       133:{2,5}:{(110,1),(153,1)}
       134:{1,3,5}:{(111,1),(112,1),(156,1),(157,1)}
       135:{1,2,4,5}:{(112,1),(113,1),(151,1),(156,1),(157,1),(158,1),(184,1),(189,1),(190,1),(205,1)}
       136:{3,4,5}:{(113,1),(152,1),(157,1),(158,1)}
       137:{1,5}:{(114,1),(118,1)}
       138:{1,4,7}:{(114,1),(115,1),(119,1),(159,1)}
       139:{1,3,6,7}:{(115,1),(116,1),(120,1),(127,1),(160,1),(161,1),(207,1)}
       140:{1,2,5,7}:{(116,1),(117,1),(128,1),(161,1),(162,1),(167,1),(208,1)}
       141:{2,4,7}:{(117,1),(129,1),(163,1),(166,1)}
       142:{3,5,7}:{(118,1),(119,1),(123,1),(159,1),(164,1)}
       143:{3,4,6,7}:{(119,1),(120,1),(124,1),(130,1),(160,1),(164,1),(165,1),(166,1),(193,1),(196,1),(207,1)}
       144:{3,5,7}:{(120,1),(121,1),(131,1),(166,1)}
       145:{3,5,7}:{(122,1),(125,1),(132,1),(163,1),(167,1)}
       146:{2,4,6}:{(123,1),(164,1),(168,1),(196,1)}
       147:{2,5,7}:{(124,1),(133,1),(165,1),(168,1)}
       148:{1,6,7}:{(125,1),(167,1)}
       149:{1,4,6}:{(126,1),(127,1),(130,1),(169,1)}
       150:{1,3,5,6}:{(127,1),(128,1),(131,1),(134,1),(161,1),(169,1),(170,1),(171,1),(191,1),(197,1),(207,1)}
       151:{1,2,4,6}:{(128,1),(129,1),(135,1),(162,1),(170,1),(171,1),(172,1),(198,1),(199,1)}
       152:{3,4,6}:{(129,1),(132,1),(136,1),(163,1),(171,1),(172,1)}
       153:{3,5}:{(130,1),(133,1),(169,1),(173,1)}
       154:{4,6}:{(131,1),(166,1),(173,1)}
       155:{1,5,6}:{(132,1),(167,1),(172,1)}
       156:{1,4}:{(134,1),(174,1)}
       157:{3,5}:{(135,1),(171,1),(174,1)}
       158:{1,4,5}:{(136,1),(172,1),(175,1)}
       159:{1,5,7}:{(137,1),(138,1),(142,1),(177,1)}
       160:{1,4,6,7}:{(138,1),(139,1),(143,1),(149,1),(177,1),(178,1),(179,1),(201,1)}
       161:{1,3,5,7}:{(139,1),(140,1),(144,1),(150,1),(178,1),(179,1),(180,1),(202,1)}
       162:{1,2,4,7}:{(140,1),(141,1),(151,1),(179,1),(180,1),(181,1),(203,1),(204,1)}
       163:{3,4,7}:{(141,1),(145,1),(152,1),(180,1),(181,1)}
       164:{3,6}:{(142,1),(146,1),(177,1)}
       165:{3,5,7}:{(143,1),(147,1),(153,1),(178,1),(182,1),(183,1)}
       166:{4,7}:{(144,1),(154,1)}
       167:{1,5,7}:{(145,1),(148,1),(155,1),(181,1)}
       168:{2,5,6}:{(146,1),(147,1),(182,1),(209,1)}
       169:{1,5}:{(149,1),(153,1)}
       170:{1,4,6}:{(150,1),(154,1),(156,1),(179,1),(184,1),(185,1)}
       171:{3,6}:{(151,1),(157,1),(180,1)}
       172:{1,4,6}:{(152,1),(155,1),(158,1),(181,1),(186,1)}
       173:{4,5}:{(153,1),(154,1)}
       174:{3,4}:{(156,1),(157,1),(189,1)}
       175:{1,3,5}:{(157,1),(158,1),(186,1),(188,1),(190,1)}
       176:{2,3,5}:{(157,1),(187,1),(189,1),(190,1),(205,1),(206,1)}
       177:{1,6}:{(159,1),(164,1)}
       178:{1,5,7}:{(160,1),(165,1),(169,1),(191,1)}
       179:{1,4,7}:{(161,1),(166,1),(170,1),(193,1)}
       180:{3,7}:{(162,1),(171,1)}
       181:{1,4,7}:{(163,1),(167,1),(172,1),(194,1)}
       182:{3,5,6}:{(164,1),(165,1),(168,1),(191,1),(196,1),(207,1)}
       183:{4,5,7}:{(165,1),(166,1),(173,1),(196,1)}
       184:{1,4,5}:{(169,1),(170,1),(173,1),(197,1)}
       185:{3,4,6}:{(170,1),(171,1),(174,1),(193,1),(197,1),(198,1),(207,1)}
       186:{1,3,6}:{(171,1),(172,1),(175,1),(194,1),(199,1)}
       187:{2,3,6}:{(171,1),(176,1),(195,1),(198,1),(199,1)}
       188:{1,3,4}:{(174,1),(175,1),(200,1)}
       189:{2,4}:{(174,1),(176,1)}
       190:{1,2,5}:{(175,1),(176,1),(199,1),(200,1)}
       191:{1,5,6}:{(177,1),(178,1),(182,1),(201,1)}
       192:{1,4,5,7}:{(178,1),(179,1),(183,1),(184,1),(201,1),(202,1)}
       193:{3,4,7}:{(179,1),(180,1),(185,1),(202,1),(203,1)}
       194:{1,3,7}:{(180,1),(181,1),(186,1),(204,1)}
       195:{2,3,7}:{(180,1),(187,1),(203,1),(204,1)}
       196:{4,6}:{(182,1),(183,1)}
       197:{3,5}:{(184,1),(185,1),(205,1)}
       198:{2,4,6}:{(185,1),(187,1),(189,1),(203,1),(205,1),(209,1)}
       199:{1,2,6}:{(186,1),(187,1),(190,1),(204,1)}
       200:{1,2,4}:{(188,1),(189,1),(190,1),(206,1)}
       201:{1,4,6}:{(191,1),(192,1),(196,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(197,1),(207,1),(208,1)}
       203:{2,4,7}:{(193,1),(195,1),(198,1),(208,1)}
       204:{1,2,7}:{(194,1),(195,1),(199,1)}
       205:{2,5}:{(197,1),(198,1)}
       206:{2,3}:{(200,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{2,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

1115 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(57,1),(114,1)}
         1:{1,3,4,6}:{(2,1),(5,1),(6,1),(21,1),(24,1),(28,1),(57,1),(67,1)}
         2:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(38,1)}
         3:{1,2,3,5}:{(0,1),(8,1),(10,1),(36,1),(89,1),(94,1)}
         4:{1,2,3,7}:{(0,1),(9,1),(87,1),(142,1),(230,1)}
         5:{1,3,5}:{(1,1),(8,1),(13,1),(36,1),(98,1)}
         6:{1,3,4,7}:{(1,1),(9,1),(14,1),(41,1),(44,1),(87,1),(219,1)}
         7:{2,3,4,6}:{(2,1),(16,1),(17,1),(21,1),(52,1),(56,1),(57,1),(67,1)}
         8:{1,2,5}:{(2,1),(5,1),(16,1)}
         9:{1,2,4,7}:{(2,1),(4,1),(6,1),(17,1),(20,1),(227,1)}
        10:{1,2,4}:{(3,1),(21,1)}
        11:{1,2,3,5,7}:{(3,1),(4,1),(20,1),(22,1),(23,1),(62,1),(68,1),(119,1),(123,1),(172,1)}
        12:{1,3,5,6}:{(5,1),(18,1),(24,1),(25,1),(28,1),(29,1),(57,1),(74,1),(122,1)}
        13:{1,4,5}:{(5,1),(24,1),(26,1),(127,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(20,1),(27,1),(28,1),(62,1),(208,1),(224,1)}
        15:{1,4,5,6}:{(24,1),(29,1),(30,1),(74,1),(131,1)}
        16:{2,3,5}:{(7,1),(8,1),(32,1),(36,1),(98,1)}
        17:{2,3,4,7}:{(7,1),(9,1),(33,1),(41,1),(80,1),(87,1),(220,1)}
        18:{1,2,5,6}:{(8,1),(12,1),(31,1),(34,1),(35,1),(38,1),(49,1),(134,1)}
        19:{1,2,4,5}:{(8,1),(10,1),(13,1),(32,1),(34,1),(36,1),(46,1),(82,1),(89,1)}
        20:{1,2,5,7}:{(8,1),(9,1),(14,1),(33,1),(38,1),(221,1),(229,1)}
        21:{3,4}:{(10,1),(36,1)}
        22:{1,2,4,7}:{(10,1),(11,1),(41,1),(42,1),(190,1)}
        23:{1,2,3,6}:{(11,1),(38,1),(42,1),(92,1),(146,1)}
        24:{1,4,6}:{(12,1),(13,1),(43,1),(44,1),(149,1)}
        25:{1,3,5,7}:{(12,1),(35,1),(44,1),(45,1),(50,1),(87,1),(101,1),(145,1)}
        26:{3,4,5}:{(13,1),(36,1),(43,1),(46,1)}
        27:{1,4,5,7}:{(13,1),(14,1),(44,1),(47,1),(48,1),(101,1),(193,1),(216,1)}
        28:{1,3,6}:{(14,1),(38,1),(48,1),(92,1)}
        29:{3,5,6}:{(15,1),(43,1),(49,1),(50,1)}
        30:{1,4,5,7}:{(15,1),(44,1),(50,1),(51,1),(101,1),(155,1)}
        31:{2,3,5,6}:{(16,1),(18,1),(52,1),(53,1),(56,1),(57,1),(106,1),(113,1),(122,1)}
        32:{2,4,5}:{(16,1),(52,1),(54,1),(127,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(20,1),(55,1),(56,1),(62,1),(209,1),(225,1)}
        34:{1,2,4,6}:{(18,1),(19,1),(24,1),(52,1),(57,1),(58,1),(69,1),(108,1),(114,1)}
        35:{1,2,5,7}:{(18,1),(25,1),(53,1),(58,1),(59,1),(75,1),(158,1)}
        36:{3,5}:{(19,1),(21,1),(57,1)}
        37:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(27,1),(55,1),(58,1),(62,1),(63,1),(68,1),(72,1),(111,1),(118,1),(119,1),(127,1),(168,1),(173,1),(201,1)}
        38:{1,2,6}:{(20,1),(28,1),(56,1)}
        39:{1,3,4}:{(21,1),(60,1),(64,1)}
        40:{2,3,4}:{(21,1),(61,1),(64,1)}
        41:{3,4,7}:{(21,1),(22,1),(62,1),(67,1),(168,1),(207,1)}
        42:{1,2,4,6}:{(22,1),(23,1),(67,1),(68,1)}
        43:{3,4,6}:{(24,1),(26,1),(29,1),(57,1),(69,1),(70,1)}
        44:{1,4,7}:{(24,1),(25,1),(70,1),(168,1)}
        45:{1,3,6,7}:{(25,1),(28,1),(59,1),(71,1),(76,1),(117,1),(224,1)}
        46:{2,4,5}:{(26,1),(61,1),(69,1)}
        47:{3,4,5,7}:{(26,1),(27,1),(62,1),(70,1),(72,1),(73,1),(127,1),(129,1),(168,1),(175,1),(203,1)}
        48:{1,4,6}:{(27,1),(28,1),(73,1),(74,1)}
        49:{2,5,6}:{(29,1),(69,1),(75,1)}
        50:{3,5,7}:{(29,1),(30,1),(70,1),(75,1),(76,1)}
        51:{1,4,6,7}:{(30,1),(76,1),(77,1),(133,1)}
        52:{2,4,6}:{(31,1),(32,1),(79,1),(80,1),(149,1)}
        53:{2,3,5,7}:{(31,1),(35,1),(80,1),(81,1),(87,1),(135,1),(139,1),(145,1)}
        54:{3,4,5}:{(32,1),(36,1),(79,1),(82,1)}
        55:{2,4,5,7}:{(32,1),(33,1),(80,1),(83,1),(84,1),(139,1),(192,1),(215,1)}
        56:{2,3,6}:{(33,1),(38,1),(84,1),(92,1)}
        57:{3,6}:{(34,1),(36,1),(87,1)}
        58:{1,2,4,7}:{(34,1),(35,1),(44,1),(80,1),(87,1),(99,1),(137,1),(142,1)}
        59:{1,2,6,7}:{(35,1),(38,1),(45,1),(81,1),(104,1),(179,1),(229,1)}
        60:{1,3,5}:{(36,1),(39,1),(82,1),(85,1),(89,1)}
        61:{2,3,5}:{(36,1),(40,1),(46,1),(86,1),(89,1)}
        62:{3,5,7}:{(36,1),(37,1),(41,1),(87,1),(92,1),(98,1),(191,1),(214,1)}
        63:{1,2,4,6}:{(37,1),(38,1),(48,1),(84,1),(92,1),(93,1),(102,1),(140,1),(146,1),(149,1)}
        64:{1,2,4}:{(39,1),(40,1),(89,1),(94,1)}
        65:{1,3,4,7}:{(39,1),(41,1),(90,1),(95,1),(96,1),(185,1),(214,1)}
        66:{2,3,4,7}:{(40,1),(41,1),(91,1),(95,1),(97,1),(186,1),(214,1)}
        67:{3,4,6}:{(41,1),(42,1),(92,1),(98,1),(149,1)}
        68:{1,2,5}:{(42,1),(98,1)}
        69:{2,4,6}:{(43,1),(46,1),(49,1),(86,1),(99,1)}
        70:{3,4,7}:{(43,1),(44,1),(50,1),(87,1),(99,1)}
        71:{1,4,6,7}:{(44,1),(45,1),(48,1),(100,1),(101,1),(196,1),(216,1)}
        72:{2,4,5,7}:{(46,1),(47,1),(91,1),(99,1),(102,1),(153,1),(154,1),(186,1)}
        73:{3,4,6}:{(47,1),(48,1),(92,1),(102,1),(103,1),(149,1)}
        74:{1,5,6}:{(48,1),(101,1),(103,1)}
        75:{2,5,7}:{(49,1),(50,1),(99,1),(104,1)}
        76:{3,6,7}:{(50,1),(51,1),(104,1)}
        77:{1,5,6,7}:{(51,1),(101,1),(105,1),(196,1)}
        78:{2,4,5,6}:{(52,1),(106,1),(107,1),(113,1),(164,1)}
        79:{3,4,6}:{(52,1),(54,1),(57,1),(106,1),(108,1),(109,1)}
        80:{2,4,7}:{(52,1),(53,1),(109,1),(168,1)}
        81:{2,3,6,7}:{(53,1),(56,1),(59,1),(110,1),(117,1),(159,1),(225,1)}
        82:{1,4,5}:{(54,1),(60,1),(108,1)}
        83:{3,4,5,7}:{(54,1),(55,1),(62,1),(109,1),(111,1),(112,1),(127,1),(162,1),(168,1),(174,1),(202,1)}
        84:{2,4,6}:{(55,1),(56,1),(112,1),(113,1)}
        85:{1,3,6}:{(57,1),(60,1),(108,1),(114,1),(115,1)}
        86:{2,3,6}:{(57,1),(61,1),(69,1),(114,1),(116,1)}
        87:{3,7}:{(57,1),(58,1)}
        88:{1,2,4,6,7}:{(58,1),(59,1),(63,1),(71,1),(110,1),(117,1),(118,1),(128,1),(161,1),(165,1),(168,1),(201,1)}
        89:{1,2,5}:{(60,1),(61,1),(64,1),(114,1)}
        90:{1,3,5,7}:{(60,1),(62,1),(65,1),(111,1),(115,1),(119,1),(120,1),(125,1)}
        91:{2,3,5,7}:{(61,1),(62,1),(66,1),(72,1),(116,1),(119,1),(121,1),(126,1)}
        92:{3,6}:{(62,1),(63,1)}
        93:{1,2,5,6}:{(63,1),(68,1),(74,1),(113,1),(118,1),(122,1),(130,1),(163,1)}
        94:{1,2,3}:{(64,1)}
        95:{1,2,4,7}:{(64,1),(65,1),(66,1),(119,1),(123,1),(124,1)}
        96:{1,3,4,6}:{(65,1),(67,1),(120,1),(124,1),(125,1),(170,1),(204,1),(207,1)}
        97:{2,3,4,6}:{(66,1),(67,1),(121,1),(124,1),(126,1),(171,1),(204,1),(207,1)}
        98:{3,5}:{(67,1),(68,1),(127,1)}
        99:{2,4,7}:{(69,1),(70,1),(75,1),(116,1)}
       100:{3,4,6,7}:{(70,1),(71,1),(73,1),(76,1),(117,1),(128,1),(129,1),(133,1),(168,1),(178,1),(203,1)}
       101:{1,5,7}:{(71,1),(74,1),(129,1)}
       102:{2,4,6}:{(72,1),(73,1),(121,1),(130,1)}
       103:{3,5,6}:{(73,1),(74,1),(129,1),(130,1),(131,1)}
       104:{2,6,7}:{(75,1),(76,1)}
       105:{3,5,6,7}:{(76,1),(77,1),(129,1),(132,1),(133,1),(178,1)}
       106:{3,5,6}:{(78,1),(79,1),(134,1),(135,1)}
       107:{2,4,5,7}:{(78,1),(80,1),(135,1),(136,1),(139,1),(182,1)}
       108:{1,4,6}:{(79,1),(82,1),(85,1),(134,1),(137,1)}
       109:{3,4,7}:{(79,1),(80,1),(87,1),(135,1),(137,1)}
       110:{2,4,6,7}:{(80,1),(81,1),(84,1),(138,1),(139,1),(215,1),(228,1)}
       111:{1,4,5,7}:{(82,1),(83,1),(90,1),(137,1),(140,1),(152,1),(181,1),(185,1)}
       112:{3,4,6}:{(83,1),(84,1),(92,1),(140,1),(141,1),(149,1)}
       113:{2,5,6}:{(84,1),(139,1),(141,1)}
       114:{1,2,6}:{(85,1),(86,1),(89,1),(142,1)}
       115:{1,3,7}:{(85,1),(87,1),(137,1),(142,1)}
       116:{2,3,7}:{(86,1),(87,1),(99,1),(142,1)}
       117:{3,6,7}:{(87,1),(88,1),(92,1),(145,1),(214,1)}
       118:{1,2,5,7}:{(88,1),(93,1),(101,1),(139,1),(145,1),(154,1),(181,1)}
       119:{1,2,5,7}:{(89,1),(90,1),(91,1),(95,1),(142,1),(146,1),(151,1)}
       120:{1,3,6}:{(90,1),(92,1),(140,1),(146,1)}
       121:{2,3,6}:{(91,1),(92,1),(102,1),(146,1)}
       122:{3,5,6}:{(92,1),(93,1),(98,1),(145,1),(149,1)}
       123:{1,2,3,7}:{(94,1),(95,1),(150,1),(214,1),(229,1)}
       124:{1,2,4,6}:{(95,1),(96,1),(97,1),(146,1),(150,1),(151,1),(190,1)}
       125:{1,3,5}:{(96,1),(98,1),(151,1),(152,1),(191,1)}
       126:{2,3,5}:{(97,1),(98,1),(151,1),(153,1),(191,1)}
       127:{4,5}:{(98,1),(149,1)}
       128:{2,4,6,7}:{(99,1),(100,1),(102,1),(104,1),(144,1),(154,1),(186,1)}
       129:{3,5,7}:{(100,1),(101,1),(103,1),(154,1),(155,1)}
       130:{2,5,6}:{(102,1),(103,1),(154,1)}
       131:{4,5,6}:{(103,1),(149,1),(155,1)}
       132:{2,5,6,7}:{(104,1),(105,1),(154,1),(157,1)}
       133:{4,6,7}:{(105,1),(155,1)}
       134:{1,5,6}:{(106,1),(108,1),(158,1)}
       135:{3,5,7}:{(106,1),(107,1),(109,1),(158,1),(159,1)}
       136:{2,4,6,7}:{(107,1),(159,1),(160,1),(198,1)}
       137:{1,4,7}:{(108,1),(109,1),(115,1),(158,1)}
       138:{3,4,6,7}:{(109,1),(110,1),(112,1),(117,1),(159,1),(161,1),(162,1),(168,1),(198,1),(202,1),(222,1)}
       139:{2,5,7}:{(110,1),(113,1),(162,1)}
       140:{1,4,6}:{(111,1),(112,1),(120,1),(163,1)}
       141:{3,5,6}:{(112,1),(113,1),(162,1),(163,1),(164,1)}
       142:{1,2,7}:{(114,1),(115,1),(116,1)}
       143:{1,3,6,7}:{(115,1),(117,1),(120,1),(161,1),(165,1),(166,1),(222,1)}
       144:{2,3,6,7}:{(116,1),(117,1),(121,1),(128,1),(165,1),(167,1),(178,1)}
       145:{3,5,7}:{(117,1),(118,1),(122,1),(168,1)}
       146:{1,2,6}:{(119,1),(120,1),(121,1)}
       147:{1,3,5,6}:{(120,1),(122,1),(125,1),(163,1),(166,1),(169,1),(170,1),(200,1),(204,1)}
       148:{2,3,5,6}:{(121,1),(122,1),(126,1),(130,1),(167,1),(169,1),(171,1),(177,1),(204,1)}
       149:{4,6}:{(122,1),(127,1),(168,1)}
       150:{1,2,3,6}:{(123,1),(124,1),(172,1),(204,1),(226,1)}
       151:{1,2,5}:{(124,1),(125,1),(126,1)}
       152:{1,4,5}:{(125,1),(127,1),(170,1),(174,1)}
       153:{2,4,5}:{(126,1),(127,1),(171,1),(175,1)}
       154:{2,5,7}:{(128,1),(129,1),(130,1)}
       155:{4,5,7}:{(129,1),(131,1),(133,1),(168,1)}
       156:{2,4,5,6}:{(130,1),(131,1),(171,1),(176,1),(177,1)}
       157:{2,4,6,7}:{(132,1),(133,1),(176,1),(178,1)}
       158:{1,5,7}:{(134,1),(135,1),(137,1),(179,1)}
       159:{3,6,7}:{(135,1),(136,1),(179,1)}
       160:{2,5,6,7}:{(136,1),(139,1),(180,1),(228,1)}
       161:{1,4,6,7}:{(137,1),(138,1),(140,1),(143,1),(179,1),(181,1),(185,1)}
       162:{3,5,7}:{(138,1),(139,1),(141,1),(181,1),(182,1)}
       163:{1,5,6}:{(140,1),(141,1),(181,1)}
       164:{4,5,6}:{(141,1),(149,1),(182,1)}
       165:{1,2,6,7}:{(142,1),(143,1),(144,1),(146,1),(184,1),(196,1),(228,1)}
       166:{1,3,5,7}:{(143,1),(145,1),(147,1),(181,1),(184,1),(185,1),(212,1),(214,1)}
       167:{2,3,5,7}:{(144,1),(145,1),(148,1),(154,1),(184,1),(186,1),(194,1),(214,1)}
       168:{4,7}:{(145,1),(149,1)}
       169:{1,2,5,6}:{(146,1),(147,1),(148,1),(151,1),(184,1),(187,1),(195,1),(213,1)}
       170:{1,4,6}:{(147,1),(149,1),(152,1),(185,1),(188,1)}
       171:{2,4,6}:{(148,1),(149,1),(153,1),(186,1),(189,1)}
       172:{1,2,3,5}:{(150,1),(151,1),(190,1),(191,1),(221,1),(230,1)}
       173:{1,2,4,5}:{(151,1),(152,1),(153,1),(187,1),(190,1),(191,1),(192,1),(193,1),(221,1)}
       174:{3,4,5}:{(152,1),(188,1),(191,1),(192,1)}
       175:{3,4,5}:{(153,1),(189,1),(191,1),(193,1)}
       176:{2,4,5,7}:{(154,1),(155,1),(156,1),(157,1),(186,1),(194,1)}
       177:{3,5,6}:{(156,1),(189,1),(194,1),(195,1)}
       178:{3,6,7}:{(157,1),(194,1),(196,1)}
       179:{1,6,7}:{(158,1),(159,1)}
       180:{3,5,6,7}:{(159,1),(160,1),(162,1),(197,1),(198,1),(222,1)}
       181:{1,5,7}:{(161,1),(162,1),(163,1)}
       182:{4,5,7}:{(162,1),(164,1),(168,1),(198,1)}
       183:{1,4,5,6}:{(163,1),(164,1),(170,1),(199,1),(200,1)}
       184:{1,2,5,7}:{(165,1),(166,1),(167,1),(169,1),(201,1),(210,1),(223,1)}
       185:{1,4,7}:{(166,1),(168,1),(170,1),(202,1)}
       186:{2,4,7}:{(167,1),(168,1),(171,1),(203,1)}
       187:{1,2,4,6}:{(169,1),(170,1),(171,1),(173,1),(201,1),(204,1),(205,1),(206,1),(226,1)}
       188:{3,4,6}:{(170,1),(174,1),(200,1),(202,1),(204,1),(205,1)}
       189:{3,4,6}:{(171,1),(175,1),(177,1),(203,1),(204,1),(206,1)}
       190:{1,2,4}:{(172,1),(207,1)}
       191:{3,5}:{(173,1),(204,1),(207,1)}
       192:{2,4,5}:{(174,1),(205,1),(209,1)}
       193:{1,4,5}:{(175,1),(206,1),(208,1)}
       194:{3,5,7}:{(176,1),(177,1),(178,1),(203,1),(210,1)}
       195:{1,5,6}:{(177,1),(206,1),(210,1)}
       196:{1,6,7}:{(178,1),(210,1)}
       197:{1,5,6,7}:{(179,1),(180,1),(181,1),(211,1)}
       198:{4,6,7}:{(180,1),(182,1)}
       199:{1,4,5,7}:{(181,1),(182,1),(183,1),(185,1),(211,1),(212,1)}
       200:{3,5,6}:{(183,1),(188,1),(212,1),(213,1)}
       201:{1,2,4,7}:{(184,1),(185,1),(186,1),(187,1),(214,1),(215,1),(216,1),(229,1)}
       202:{3,4,7}:{(185,1),(188,1),(212,1),(214,1),(215,1)}
       203:{3,4,7}:{(186,1),(189,1),(194,1),(214,1),(216,1)}
       204:{3,6}:{(187,1),(191,1),(214,1)}
       205:{2,4,6}:{(188,1),(192,1),(213,1),(215,1),(218,1)}
       206:{1,4,6}:{(189,1),(193,1),(195,1),(216,1),(217,1)}
       207:{3,4}:{(190,1),(191,1)}
       208:{1,3,5}:{(191,1),(193,1),(217,1),(219,1),(221,1)}
       209:{2,3,5}:{(191,1),(192,1),(218,1),(220,1),(221,1)}
       210:{1,5,7}:{(194,1),(195,1),(196,1),(216,1)}
       211:{1,4,6,7}:{(197,1),(198,1),(199,1),(222,1)}
       212:{3,5,7}:{(199,1),(200,1),(202,1),(222,1),(223,1)}
       213:{2,5,6}:{(200,1),(205,1),(223,1)}
       214:{3,7}:{(201,1),(204,1)}
       215:{2,4,7}:{(202,1),(205,1),(223,1),(225,1)}
       216:{1,4,7}:{(203,1),(206,1),(210,1),(224,1)}
       217:{1,3,6}:{(204,1),(206,1),(208,1),(224,1),(226,1)}
       218:{2,3,6}:{(204,1),(205,1),(209,1),(225,1),(226,1)}
       219:{1,3,4}:{(207,1),(208,1),(227,1)}
       220:{2,3,4}:{(207,1),(209,1),(227,1)}
       221:{1,2,5}:{(208,1),(209,1),(226,1),(227,1)}
       222:{3,6,7}:{(211,1),(212,1),(228,1)}
       223:{2,5,7}:{(212,1),(213,1),(215,1),(228,1)}
       224:{1,3,7}:{(214,1),(216,1),(217,1),(229,1)}
       225:{2,3,7}:{(214,1),(215,1),(218,1),(229,1)}
       226:{1,2,6}:{(217,1),(218,1),(221,1),(229,1)}
       227:{1,2,4}:{(219,1),(220,1),(221,1),(230,1)}
       228:{2,6,7}:{(222,1),(223,1)}
       229:{1,2,7}:{(224,1),(225,1),(226,1)}
       230:{1,2,3}:{(227,1)}

1116 :   0:{1,3,5,7}:{(4,1),(5,1),(6,1),(9,1),(27,1),(31,1),(61,1)}
         1:{2,3,5,7}:{(4,1),(7,1),(8,1),(25,1),(27,1),(34,1),(61,1)}
         2:{1,4,5,7}:{(5,1),(9,1),(10,1),(12,1),(31,1),(38,1),(63,1)}
         3:{1,4,6,7}:{(10,1),(11,1),(12,1),(38,1)}
         4:{1,2,5,7}:{(0,1),(1,1),(14,1),(15,1),(20,1),(40,1),(46,1)}
         5:{1,4,7}:{(0,1),(16,1),(17,1),(75,1),(79,1)}
         6:{1,3,6}:{(0,1),(15,1),(17,1),(21,1),(45,1),(102,1)}
         7:{2,4,7}:{(1,1),(18,1),(19,1),(75,1),(101,1)}
         8:{2,3,6}:{(1,1),(15,1),(19,1),(41,1),(45,1),(103,1)}
         9:{3,5,7}:{(2,1),(16,1),(20,1),(21,1),(48,1)}
        10:{1,4,6}:{(2,1),(21,1),(22,1),(52,1)}
        11:{3,6,7}:{(3,1),(21,1),(23,1),(24,1)}
        12:{1,5,7}:{(3,1),(22,1),(24,1),(79,1)}
        13:{2,4,5,7}:{(7,1),(25,1),(26,1),(34,1),(55,1),(65,1),(81,1)}
        14:{1,2,4,7}:{(4,1),(5,1),(7,1),(27,1),(28,1),(29,1),(32,1),(58,1)}
        15:{1,2,6}:{(4,1),(6,1),(8,1),(35,1),(56,1),(104,1)}
        16:{3,4,7}:{(5,1),(9,1),(27,1),(29,1),(30,1),(38,1),(67,1)}
        17:{1,4,6}:{(5,1),(6,1),(30,1),(31,1),(88,1),(100,1)}
        18:{3,4,7}:{(7,1),(25,1),(27,1),(32,1),(33,1),(81,1),(96,1)}
        19:{2,4,6}:{(7,1),(8,1),(33,1),(34,1),(97,1),(99,1)}
        20:{2,5,7}:{(9,1),(29,1),(35,1),(62,1)}
        21:{3,6}:{(9,1),(10,1),(35,1)}
        22:{1,5,6}:{(10,1),(12,1),(31,1),(36,1),(88,1)}
        23:{2,6,7}:{(11,1),(35,1),(37,1)}
        24:{3,5,7}:{(11,1),(12,1),(36,1),(37,1),(38,1),(67,1)}
        25:{3,5,7}:{(13,1),(18,1),(40,1),(41,1),(50,1)}
        26:{2,4,6}:{(13,1),(41,1),(42,1),(71,1)}
        27:{3,7}:{(14,1),(45,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(17,1),(19,1),(45,1),(46,1),(47,1),(49,1),(72,1),(75,1),(91,1)}
        29:{2,4,7}:{(16,1),(20,1),(44,1),(47,1)}
        30:{3,4,6}:{(16,1),(17,1),(21,1),(45,1),(47,1),(48,1),(52,1),(75,1),(78,1),(93,1)}
        31:{1,5}:{(17,1),(48,1)}
        32:{1,4,7}:{(18,1),(40,1),(43,1),(49,1)}
        33:{3,4,6}:{(18,1),(19,1),(41,1),(45,1),(49,1),(50,1),(71,1),(75,1),(90,1),(92,1)}
        34:{2,5}:{(19,1),(50,1)}
        35:{2,6}:{(20,1),(21,1)}
        36:{3,5,6}:{(21,1),(22,1),(24,1),(48,1),(51,1),(52,1),(78,1)}
        37:{2,5,7}:{(23,1),(24,1),(51,1),(53,1)}
        38:{4,7}:{(24,1),(52,1)}
        39:{2,4,6,7}:{(26,1),(54,1),(55,1),(81,1)}
        40:{1,5,7}:{(25,1),(32,1),(56,1),(64,1)}
        41:{3,6}:{(25,1),(26,1),(56,1)}
        42:{2,5,6}:{(26,1),(34,1),(55,1),(57,1),(97,1)}
        43:{1,3,7}:{(27,1),(32,1),(58,1),(59,1),(96,1)}
        44:{2,3,7}:{(27,1),(29,1),(58,1),(60,1),(67,1)}
        45:{3,6}:{(27,1),(28,1),(61,1),(98,1)}
        46:{1,2,5}:{(28,1),(31,1),(34,1),(61,1),(62,1),(64,1)}
        47:{2,4,6}:{(29,1),(30,1),(35,1),(60,1),(62,1),(85,1)}
        48:{3,5}:{(30,1),(31,1),(62,1),(63,1)}
        49:{1,4,6}:{(32,1),(33,1),(56,1),(59,1),(64,1),(84,1)}
        50:{3,5}:{(33,1),(34,1),(64,1),(65,1)}
        51:{2,5,6}:{(35,1),(36,1),(37,1),(62,1),(66,1)}
        52:{4,6}:{(36,1),(38,1),(63,1)}
        53:{2,4,7}:{(37,1),(38,1),(66,1),(67,1)}
        54:{3,6,7}:{(39,1),(41,1),(68,1),(69,1)}
        55:{2,5,7}:{(39,1),(42,1),(69,1),(101,1)}
        56:{1,6}:{(40,1),(41,1)}
        57:{3,5,6}:{(41,1),(42,1),(50,1),(69,1),(70,1),(71,1),(90,1)}
        58:{1,2,7}:{(43,1),(44,1),(72,1),(79,1),(101,1)}
        59:{1,3,6}:{(43,1),(45,1),(49,1),(72,1),(73,1),(90,1)}
        60:{2,3,6}:{(44,1),(45,1),(47,1),(72,1),(74,1),(78,1)}
        61:{3,5}:{(45,1),(46,1),(75,1)}
        62:{2,5}:{(47,1),(48,1)}
        63:{4,5}:{(48,1),(52,1),(75,1)}
        64:{1,5}:{(49,1),(50,1)}
        65:{4,5}:{(50,1),(71,1),(75,1)}
        66:{2,4,6}:{(51,1),(52,1),(53,1),(76,1),(78,1)}
        67:{3,7}:{(53,1),(78,1),(79,1)}
        68:{1,6,7}:{(54,1),(56,1),(80,1)}
        69:{3,5,7}:{(54,1),(55,1),(57,1),(80,1),(81,1),(96,1)}
        70:{1,5,6}:{(56,1),(57,1),(64,1),(80,1),(82,1)}
        71:{4,6}:{(57,1),(65,1),(81,1)}
        72:{1,2,6}:{(58,1),(59,1),(60,1),(83,1),(88,1),(97,1)}
        73:{1,3,5}:{(59,1),(61,1),(64,1),(83,1),(84,1),(87,1),(98,1)}
        74:{2,3,5}:{(60,1),(61,1),(62,1),(83,1),(85,1),(86,1),(98,1)}
        75:{4}:{(61,1)}
        76:{2,4,5}:{(62,1),(63,1),(66,1),(85,1),(86,1)}
        77:{1,4,5}:{(64,1),(65,1),(82,1),(84,1),(87,1)}
        78:{3,6}:{(66,1),(67,1),(86,1),(88,1)}
        79:{1,7}:{(67,1),(88,1)}
        80:{1,5,7}:{(68,1),(69,1),(70,1),(89,1)}
        81:{4,7}:{(69,1),(71,1)}
        82:{1,4,6}:{(70,1),(71,1),(77,1),(89,1),(90,1)}
        83:{1,2,5}:{(72,1),(73,1),(74,1),(91,1),(94,1),(95,1)}
        84:{1,4}:{(73,1),(75,1),(92,1)}
        85:{2,4}:{(74,1),(75,1),(93,1)}
        86:{3,5}:{(76,1),(78,1),(93,1),(94,1)}
        87:{3,5}:{(77,1),(90,1),(92,1),(95,1)}
        88:{1,6}:{(78,1),(79,1),(94,1)}
        89:{1,4,7}:{(80,1),(81,1),(82,1),(96,1)}
        90:{3,6}:{(82,1),(87,1),(96,1),(97,1)}
        91:{1,2,4}:{(83,1),(84,1),(85,1),(98,1),(99,1),(100,1),(104,1)}
        92:{3,4}:{(84,1),(87,1),(98,1),(99,1)}
        93:{3,4}:{(85,1),(86,1),(98,1),(100,1)}
        94:{1,5}:{(86,1),(88,1),(100,1)}
        95:{2,5}:{(87,1),(97,1),(99,1)}
        96:{3,7}:{(89,1),(90,1),(101,1)}
        97:{2,6}:{(90,1),(95,1),(101,1)}
        98:{3}:{(91,1)}
        99:{2,4}:{(92,1),(95,1),(103,1)}
       100:{1,4}:{(93,1),(94,1),(102,1)}
       101:{2,7}:{(96,1),(97,1)}
       102:{1,3}:{(98,1),(100,1),(104,1)}
       103:{2,3}:{(98,1),(99,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

1117 :   0:{2,3,4,6,7}:{(1,1),(2,1),(11,1),(18,1),(34,1),(36,1),(44,1),(67,1),(72,1),(95,1),(106,1)}
         1:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(21,1),(23,1),(30,1),(61,1),(90,1),(110,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(24,1),(27,1),(83,1),(109,1)}
         3:{2,3,5,6,7}:{(4,1),(8,1),(9,1),(27,1),(29,1),(56,1),(119,1)}
         4:{2,3,5,6}:{(2,1),(10,1),(11,1),(32,1),(34,1)}
         5:{1,3,6,7}:{(1,1),(12,1),(34,1),(106,1),(122,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(10,1),(12,1),(40,1),(121,1)}
         7:{2,4,5,7}:{(2,1),(11,1),(14,1),(72,1),(97,1)}
         8:{1,2,5,6,7}:{(3,1),(10,1),(16,1),(17,1),(40,1),(73,1),(76,1),(107,1)}
         9:{2,4,6,7}:{(3,1),(11,1),(15,1),(18,1),(72,1),(129,1)}
        10:{1,2,5,6}:{(4,1),(6,1),(20,1),(21,1),(46,1),(83,1)}
        11:{2,4,6}:{(4,1),(7,1),(22,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(24,1),(130,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(21,1),(23,1),(24,1),(25,1),(47,1),(52,1),(53,1),(83,1),(90,1),(111,1)}
        14:{3,4,5,7}:{(7,1),(22,1),(24,1),(25,1),(27,1),(54,1),(78,1)}
        15:{2,4,5,7}:{(9,1),(19,1),(27,1),(135,1)}
        16:{1,3,5,6,7}:{(8,1),(20,1),(28,1),(29,1),(55,1),(58,1),(91,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(21,1),(26,1),(28,1),(29,1),(30,1),(60,1),(61,1),(90,1),(117,1)}
        18:{3,4,6,7}:{(9,1),(22,1),(27,1),(29,1),(30,1),(54,1),(134,1)}
        19:{2,4,5,6}:{(11,1),(15,1),(32,1)}
        20:{1,3,5,6}:{(10,1),(12,1),(33,1),(34,1),(65,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(13,1),(33,1),(34,1),(35,1),(67,1),(68,1)}
        22:{3,4,6}:{(11,1),(14,1),(32,1),(34,1),(35,1)}
        23:{1,4,7}:{(12,1),(33,1),(36,1),(136,1)}
        24:{3,5,7}:{(13,1),(34,1),(36,1),(65,1),(106,1),(123,1)}
        25:{1,4,5,7}:{(14,1),(35,1),(37,1),(40,1),(71,1),(96,1)}
        26:{1,2,4,5,7}:{(15,1),(17,1),(31,1),(39,1),(40,1),(41,1),(71,1),(72,1),(73,1),(76,1)}
        27:{3,5,7}:{(15,1),(18,1),(32,1),(40,1),(138,1)}
        28:{1,4,6,7}:{(16,1),(33,1),(41,1),(42,1),(71,1),(103,1)}
        29:{3,6,7}:{(17,1),(34,1),(39,1),(106,1),(127,1)}
        30:{1,4,6,7}:{(18,1),(35,1),(40,1),(43,1),(71,1),(137,1)}
        31:{1,2,4,5,6}:{(19,1),(21,1),(26,1),(45,1),(46,1),(47,1),(57,1),(79,1),(80,1),(81,1),(83,1),(92,1),(111,1),(117,1),(135,1),(139,1)}
        32:{3,5,6}:{(19,1),(22,1),(27,1),(46,1)}
        33:{1,4,6}:{(20,1),(23,1),(47,1),(48,1)}
        34:{3,6}:{(21,1),(24,1)}
        35:{1,4,6}:{(22,1),(25,1),(46,1),(49,1)}
        36:{3,4,7}:{(23,1),(24,1),(48,1),(52,1),(131,1)}
        37:{1,3,5,7}:{(24,1),(25,1),(49,1),(51,1),(53,1),(82,1)}
        38:{2,3,5,7}:{(24,1),(50,1),(52,1),(53,1),(83,1),(85,1),(113,1)}
        39:{3,5,7}:{(26,1),(29,1),(45,1),(54,1)}
        40:{1,5,7}:{(27,1),(30,1),(46,1),(139,1)}
        41:{1,4,5,7}:{(28,1),(47,1),(57,1),(58,1)}
        42:{3,4,6,7}:{(28,1),(29,1),(48,1),(54,1),(58,1),(60,1),(87,1)}
        43:{1,3,6,7}:{(29,1),(30,1),(49,1),(55,1),(61,1),(132,1)}
        44:{2,3,6,7}:{(29,1),(50,1),(56,1),(60,1),(61,1),(114,1)}
        45:{3,5,6}:{(31,1),(34,1),(39,1),(62,1),(65,1),(123,1),(127,1),(138,1)}
        46:{1,5,6}:{(32,1),(35,1),(40,1)}
        47:{1,4,5}:{(33,1),(65,1)}
        48:{3,4,6}:{(33,1),(34,1),(36,1),(65,1),(67,1)}
        49:{1,3,6}:{(34,1),(35,1),(37,1),(68,1)}
        50:{2,3,6}:{(34,1),(38,1),(67,1),(68,1)}
        51:{1,3,4,7}:{(36,1),(37,1),(66,1),(69,1),(71,1),(106,1)}
        52:{2,4,7}:{(36,1),(38,1),(67,1),(124,1)}
        53:{1,2,5,7}:{(37,1),(38,1),(68,1),(69,1),(99,1)}
        54:{3,4,7}:{(39,1),(62,1),(71,1),(72,1),(106,1)}
        55:{1,3,5,7}:{(39,1),(40,1),(43,1),(63,1),(71,1),(73,1),(106,1)}
        56:{2,3,5,7}:{(39,1),(44,1),(64,1),(72,1),(73,1),(76,1),(106,1)}
        57:{1,4,5,6}:{(41,1),(74,1),(103,1)}
        58:{3,5,7}:{(41,1),(42,1),(65,1),(74,1),(76,1)}
        59:{1,3,4,6,7}:{(42,1),(43,1),(66,1),(71,1),(75,1),(77,1),(103,1),(106,1),(127,1),(128,1),(137,1)}
        60:{2,4,6,7}:{(42,1),(44,1),(67,1),(72,1),(76,1),(104,1)}
        61:{1,2,6,7}:{(43,1),(44,1),(68,1),(73,1),(125,1)}
        62:{3,4,6}:{(45,1),(54,1),(78,1),(79,1),(80,1),(112,1),(131,1)}
        63:{1,3,5,6}:{(45,1),(46,1),(49,1),(55,1),(79,1),(81,1),(82,1),(112,1),(130,1),(132,1),(139,1)}
        64:{2,3,5,6}:{(45,1),(50,1),(56,1),(80,1),(81,1),(83,1),(92,1),(109,1),(112,1),(113,1),(114,1)}
        65:{3,5}:{(47,1),(48,1),(83,1)}
        66:{1,3,4,6}:{(48,1),(49,1),(51,1),(79,1),(82,1),(84,1),(112,1),(131,1)}
        67:{2,4,6}:{(48,1),(50,1),(52,1),(83,1)}
        68:{1,2,6}:{(49,1),(50,1),(53,1)}
        69:{1,2,4,7}:{(51,1),(52,1),(53,1),(84,1),(85,1)}
        70:{3,4,5,7}:{(54,1),(58,1),(78,1),(87,1),(88,1),(89,1),(118,1)}
        71:{1,4,7}:{(54,1),(55,1),(79,1)}
        72:{2,4,7}:{(54,1),(56,1),(80,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(61,1),(81,1),(90,1)}
        74:{3,5,6}:{(57,1),(58,1),(87,1),(92,1)}
        75:{1,3,5,7}:{(58,1),(59,1),(82,1),(88,1),(91,1),(93,1),(118,1),(139,1)}
        76:{2,5,7}:{(58,1),(60,1),(83,1),(92,1)}
        77:{1,2,4,6,7}:{(59,1),(60,1),(61,1),(84,1),(90,1),(93,1),(94,1),(117,1),(120,1)}
        78:{3,4,5}:{(62,1),(65,1),(96,1),(97,1),(123,1),(138,1)}
        79:{1,4,6}:{(62,1),(63,1),(71,1),(96,1),(136,1)}
        80:{2,4,6}:{(62,1),(64,1),(72,1),(97,1),(124,1)}
        81:{1,2,5,6}:{(63,1),(64,1),(68,1),(73,1),(98,1),(99,1),(121,1),(125,1)}
        82:{1,3,5}:{(65,1),(66,1),(96,1),(99,1),(123,1)}
        83:{2,5}:{(65,1),(67,1)}
        84:{1,2,4,6}:{(66,1),(67,1),(68,1),(69,1),(99,1),(100,1),(124,1)}
        85:{2,3,7}:{(69,1),(100,1),(106,1)}
        86:{2,3,4,7}:{(72,1),(95,1),(101,1),(102,1),(106,1),(128,1)}
        87:{3,4,6}:{(70,1),(74,1),(103,1),(104,1),(127,1)}
        88:{1,4,5,7}:{(70,1),(71,1),(75,1),(96,1),(103,1)}
        89:{2,4,5,7}:{(70,1),(72,1),(76,1),(97,1),(101,1),(104,1)}
        90:{1,2,4,7}:{(71,1),(72,1),(73,1),(98,1),(106,1)}
        91:{1,3,5,6}:{(74,1),(75,1),(103,1),(107,1),(127,1)}
        92:{2,5,6}:{(74,1),(76,1),(104,1)}
        93:{1,2,5,7}:{(75,1),(76,1),(77,1),(99,1),(107,1),(108,1)}
        94:{2,3,6,7}:{(77,1),(100,1),(106,1),(108,1),(127,1)}
        95:{2,3,4,6}:{(80,1),(86,1),(109,1),(110,1),(112,1),(114,1),(131,1),(134,1)}
        96:{1,4,5}:{(78,1),(79,1),(82,1),(139,1)}
        97:{2,4,5}:{(78,1),(80,1),(83,1),(109,1)}
        98:{1,2,4,6}:{(79,1),(80,1),(81,1),(90,1),(111,1),(112,1)}
        99:{1,2,5}:{(82,1),(83,1),(84,1),(113,1)}
       100:{2,3,6}:{(84,1),(85,1),(112,1),(113,1)}
       101:{2,3,5,7}:{(86,1),(89,1),(109,1),(114,1),(115,1),(118,1)}
       102:{1,2,4,7}:{(86,1),(110,1),(115,1),(116,1),(133,1)}
       103:{1,4,6}:{(87,1),(88,1),(91,1)}
       104:{2,4,6}:{(87,1),(89,1),(92,1),(114,1)}
       105:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(93,1),(111,1),(115,1),(117,1),(118,1),(120,1),(133,1),(135,1),(139,1)}
       106:{3,7}:{(90,1),(112,1)}
       107:{1,2,5,6}:{(91,1),(92,1),(93,1),(117,1),(119,1),(139,1)}
       108:{2,3,5,7}:{(93,1),(94,1),(113,1),(118,1),(119,1),(120,1)}
       109:{2,3,5}:{(95,1),(97,1),(121,1),(123,1),(138,1)}
       110:{1,2,4,6}:{(95,1),(102,1),(121,1),(122,1),(125,1),(136,1),(137,1)}
       111:{1,2,4,5}:{(96,1),(97,1),(98,1),(99,1),(121,1),(123,1),(124,1),(136,1)}
       112:{3,6}:{(98,1),(106,1),(123,1)}
       113:{2,3,5}:{(99,1),(100,1),(123,1),(124,1)}
       114:{2,3,6}:{(101,1),(104,1),(125,1),(127,1)}
       115:{1,2,5,7}:{(101,1),(102,1),(121,1),(125,1),(126,1)}
       116:{1,3,7}:{(102,1),(106,1),(122,1)}
       117:{1,2,4,6}:{(103,1),(104,1),(105,1),(107,1),(125,1),(127,1),(129,1),(137,1)}
       118:{3,5,7}:{(105,1),(106,1),(123,1),(127,1),(128,1),(138,1)}
       119:{2,3,5,6}:{(107,1),(108,1),(127,1),(129,1),(138,1)}
       120:{2,4,7}:{(108,1),(124,1),(128,1),(129,1)}
       121:{1,2,5}:{(109,1),(110,1),(130,1),(139,1)}
       122:{1,3,6}:{(110,1),(112,1),(116,1),(130,1)}
       123:{3,5}:{(111,1),(112,1),(131,1)}
       124:{2,4}:{(113,1),(131,1)}
       125:{1,2,6}:{(114,1),(115,1),(132,1)}
       126:{1,3,5,7}:{(115,1),(116,1),(118,1),(130,1),(132,1),(133,1),(139,1)}
       127:{3,6}:{(117,1),(118,1)}
       128:{3,4,7}:{(118,1),(120,1),(131,1),(133,1),(134,1)}
       129:{2,4,6}:{(119,1),(120,1),(134,1),(135,1)}
       130:{1,3,5}:{(121,1),(122,1),(123,1),(136,1)}
       131:{3,4}:{(123,1),(124,1),(136,1)}
       132:{1,3,6}:{(125,1),(126,1),(127,1),(137,1)}
       133:{1,4,7}:{(126,1),(128,1),(136,1),(137,1)}
       134:{3,4,6}:{(127,1),(128,1),(129,1),(137,1),(138,1)}
       135:{2,4,5}:{(129,1),(138,1)}
       136:{1,4}:{(130,1),(131,1)}
       137:{1,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

1118 :   0:{2,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(18,1),(43,1),(116,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(9,1),(21,1),(32,1),(50,1),(55,1),(60,1),(86,1),(89,1),(100,1)}
         2:{1,2,5,6,7}:{(0,1),(7,1),(8,1),(20,1),(28,1),(61,1),(64,1),(101,1)}
         3:{2,4,6,7}:{(0,1),(6,1),(9,1),(21,1),(60,1),(127,1)}
         4:{1,2,4,6,7}:{(1,1),(12,1),(13,1),(19,1),(34,1),(38,1),(48,1),(81,1),(104,1)}
         5:{2,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(39,1),(103,1),(106,1)}
         6:{2,4,5,7}:{(3,1),(11,1),(16,1),(134,1)}
         7:{1,3,5,6,7}:{(2,1),(17,1),(18,1),(33,1),(42,1),(45,1),(82,1)}
         8:{1,2,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(18,1),(19,1),(34,1),(47,1),(48,1),(81,1),(114,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(18,1),(19,1),(35,1),(41,1),(133,1)}
        10:{2,3,5,6}:{(5,1),(20,1),(21,1),(23,1),(50,1)}
        11:{2,4,5,6}:{(6,1),(21,1),(23,1)}
        12:{1,3,6,7}:{(4,1),(24,1),(50,1),(100,1),(119,1)}
        13:{1,2,5,7}:{(4,1),(5,1),(20,1),(24,1),(28,1),(118,1)}
        14:{2,4,5,7}:{(5,1),(21,1),(26,1),(60,1),(92,1)}
        15:{1,2,4,5,7}:{(6,1),(8,1),(22,1),(27,1),(28,1),(29,1),(59,1),(60,1),(61,1),(64,1)}
        16:{3,5,7}:{(6,1),(9,1),(23,1),(28,1),(138,1)}
        17:{1,4,6,7}:{(7,1),(29,1),(30,1),(49,1),(59,1),(97,1)}
        18:{3,6,7}:{(8,1),(27,1),(50,1),(100,1),(125,1)}
        19:{1,4,6,7}:{(9,1),(28,1),(31,1),(51,1),(59,1),(137,1)}
        20:{1,2,5,6}:{(10,1),(13,1),(33,1),(34,1),(37,1),(106,1)}
        21:{2,4,6}:{(10,1),(14,1),(35,1)}
        22:{1,2,4,5,6}:{(11,1),(15,1),(34,1),(36,1),(37,1),(44,1),(66,1),(71,1),(72,1),(73,1),(83,1),(106,1),(108,1),(114,1),(134,1),(139,1)}
        23:{3,5,6}:{(11,1),(16,1),(35,1),(37,1)}
        24:{1,3,5,7}:{(12,1),(13,1),(33,1),(38,1),(39,1),(128,1)}
        25:{1,2,4,5,7}:{(13,1),(14,1),(34,1),(38,1),(39,1),(40,1),(66,1),(76,1),(77,1),(81,1),(106,1),(108,1)}
        26:{3,4,5,7}:{(14,1),(16,1),(35,1),(39,1),(40,1),(41,1),(70,1)}
        27:{3,5,7}:{(15,1),(18,1),(36,1),(41,1)}
        28:{1,5,7}:{(16,1),(19,1),(37,1),(139,1)}
        29:{1,4,5,7}:{(17,1),(44,1),(45,1),(66,1)}
        30:{3,4,6,7}:{(17,1),(18,1),(41,1),(45,1),(47,1),(67,1),(78,1)}
        31:{1,3,6,7}:{(18,1),(19,1),(42,1),(48,1),(68,1),(131,1)}
        32:{2,3,6,7}:{(18,1),(43,1),(47,1),(48,1),(69,1),(110,1)}
        33:{1,3,5,6}:{(20,1),(24,1),(49,1),(50,1),(87,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(25,1),(49,1),(50,1),(51,1),(89,1),(90,1)}
        35:{3,4,6}:{(21,1),(23,1),(26,1),(50,1),(51,1)}
        36:{3,5,6}:{(22,1),(27,1),(50,1),(52,1),(87,1),(122,1),(125,1),(138,1)}
        37:{1,5,6}:{(23,1),(28,1),(51,1)}
        38:{1,4,7}:{(24,1),(49,1),(55,1),(135,1)}
        39:{3,5,7}:{(25,1),(50,1),(55,1),(87,1),(100,1),(122,1)}
        40:{1,4,5,7}:{(26,1),(28,1),(51,1),(56,1),(59,1),(91,1)}
        41:{3,4,7}:{(27,1),(52,1),(59,1),(60,1),(100,1)}
        42:{1,3,5,7}:{(27,1),(28,1),(31,1),(53,1),(59,1),(61,1),(100,1)}
        43:{2,3,5,7}:{(27,1),(32,1),(54,1),(60,1),(61,1),(64,1),(100,1)}
        44:{1,4,5,6}:{(29,1),(62,1),(97,1)}
        45:{3,5,7}:{(29,1),(30,1),(62,1),(64,1),(87,1)}
        46:{1,3,4,6,7}:{(30,1),(31,1),(59,1),(63,1),(65,1),(88,1),(97,1),(100,1),(125,1),(126,1),(137,1)}
        47:{2,4,6,7}:{(30,1),(32,1),(60,1),(64,1),(89,1),(98,1)}
        48:{1,2,6,7}:{(31,1),(32,1),(61,1),(90,1),(123,1)}
        49:{1,4,6}:{(33,1),(38,1),(66,1),(67,1)}
        50:{3,6}:{(34,1),(39,1)}
        51:{1,4,6}:{(35,1),(37,1),(40,1),(68,1)}
        52:{3,4,6}:{(36,1),(41,1),(70,1),(71,1),(72,1),(109,1),(130,1)}
        53:{1,3,5,6}:{(36,1),(37,1),(42,1),(68,1),(71,1),(73,1),(105,1),(109,1),(128,1),(131,1),(139,1)}
        54:{2,3,5,6}:{(36,1),(43,1),(69,1),(72,1),(73,1),(83,1),(103,1),(106,1),(109,1),(110,1),(129,1)}
        55:{3,4,7}:{(38,1),(39,1),(67,1),(76,1),(130,1)}
        56:{1,3,5,7}:{(39,1),(40,1),(68,1),(75,1),(77,1),(105,1)}
        57:{2,3,5,7}:{(39,1),(69,1),(76,1),(77,1),(106,1),(113,1),(129,1)}
        58:{3,4,5,7}:{(41,1),(45,1),(70,1),(78,1),(79,1),(80,1),(115,1)}
        59:{1,4,7}:{(41,1),(42,1),(71,1)}
        60:{2,4,7}:{(41,1),(43,1),(72,1)}
        61:{1,2,5,7}:{(42,1),(43,1),(48,1),(73,1),(81,1)}
        62:{3,5,6}:{(44,1),(45,1),(78,1),(83,1)}
        63:{1,3,5,7}:{(45,1),(46,1),(79,1),(82,1),(84,1),(105,1),(115,1),(139,1)}
        64:{2,5,7}:{(45,1),(47,1),(83,1),(106,1)}
        65:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(81,1),(84,1),(85,1),(107,1),(114,1),(117,1)}
        66:{1,4,5}:{(49,1),(87,1)}
        67:{3,4,6}:{(49,1),(50,1),(55,1),(87,1),(89,1)}
        68:{1,3,6}:{(50,1),(51,1),(56,1),(90,1)}
        69:{2,3,6}:{(50,1),(57,1),(89,1),(90,1)}
        70:{3,4,5}:{(52,1),(87,1),(91,1),(92,1),(122,1),(138,1)}
        71:{1,4,6}:{(52,1),(53,1),(59,1),(91,1),(135,1)}
        72:{2,4,6}:{(52,1),(54,1),(60,1),(92,1),(136,1)}
        73:{1,2,5,6}:{(53,1),(54,1),(61,1),(90,1),(93,1),(118,1),(120,1),(123,1)}
        74:{2,3,4,7}:{(60,1),(86,1),(94,1),(95,1),(100,1),(126,1)}
        75:{1,3,4,7}:{(55,1),(56,1),(59,1),(88,1),(96,1),(100,1)}
        76:{2,4,7}:{(55,1),(57,1),(89,1),(136,1)}
        77:{1,2,5,7}:{(56,1),(57,1),(90,1),(96,1),(120,1)}
        78:{3,4,6}:{(58,1),(62,1),(97,1),(98,1),(125,1)}
        79:{1,4,5,7}:{(58,1),(59,1),(63,1),(91,1),(97,1)}
        80:{2,4,5,7}:{(58,1),(60,1),(64,1),(92,1),(94,1),(98,1)}
        81:{1,2,4,7}:{(59,1),(60,1),(61,1),(93,1),(100,1)}
        82:{1,3,5,6}:{(62,1),(63,1),(97,1),(101,1),(125,1)}
        83:{2,5,6}:{(62,1),(64,1),(98,1)}
        84:{1,2,5,7}:{(63,1),(64,1),(65,1),(101,1),(102,1),(120,1)}
        85:{2,3,6,7}:{(65,1),(100,1),(102,1),(121,1),(125,1)}
        86:{2,3,4,6}:{(72,1),(74,1),(103,1),(104,1),(109,1),(110,1),(130,1),(133,1)}
        87:{3,5}:{(66,1),(67,1),(106,1)}
        88:{1,3,4,6}:{(67,1),(68,1),(71,1),(75,1),(105,1),(107,1),(109,1),(130,1)}
        89:{2,4,6}:{(67,1),(69,1),(76,1),(106,1)}
        90:{1,2,6}:{(68,1),(69,1),(77,1)}
        91:{1,4,5}:{(70,1),(71,1),(105,1),(139,1)}
        92:{2,4,5}:{(70,1),(72,1),(103,1),(106,1)}
        93:{1,2,4,6}:{(71,1),(72,1),(73,1),(81,1),(108,1),(109,1)}
        94:{2,3,5,7}:{(74,1),(80,1),(103,1),(110,1),(111,1),(115,1)}
        95:{1,2,4,7}:{(74,1),(104,1),(111,1),(112,1),(132,1)}
        96:{1,2,4,7}:{(75,1),(76,1),(77,1),(107,1),(113,1)}
        97:{1,4,6}:{(78,1),(79,1),(82,1)}
        98:{2,4,6}:{(78,1),(80,1),(83,1),(110,1)}
        99:{1,2,4,5,7}:{(79,1),(80,1),(81,1),(84,1),(108,1),(111,1),(114,1),(115,1),(117,1),(132,1),(134,1),(139,1)}
       100:{3,7}:{(81,1),(109,1)}
       101:{1,2,5,6}:{(82,1),(83,1),(84,1),(114,1),(116,1),(139,1)}
       102:{2,3,5,7}:{(84,1),(85,1),(115,1),(116,1),(117,1),(129,1)}
       103:{2,3,5}:{(86,1),(92,1),(118,1),(122,1),(138,1)}
       104:{1,2,4,6}:{(86,1),(95,1),(118,1),(119,1),(123,1),(135,1),(137,1)}
       105:{1,3,5}:{(87,1),(88,1),(91,1),(120,1),(122,1)}
       106:{2,5}:{(87,1),(89,1)}
       107:{1,2,4,6}:{(88,1),(89,1),(90,1),(96,1),(120,1),(121,1),(136,1)}
       108:{1,2,4,5}:{(91,1),(92,1),(93,1),(118,1),(120,1),(122,1),(135,1),(136,1)}
       109:{3,6}:{(93,1),(100,1),(122,1)}
       110:{2,3,6}:{(94,1),(98,1),(123,1),(125,1)}
       111:{1,2,5,7}:{(94,1),(95,1),(118,1),(123,1),(124,1)}
       112:{1,3,7}:{(95,1),(100,1),(119,1)}
       113:{2,3,7}:{(96,1),(100,1),(121,1)}
       114:{1,2,4,6}:{(97,1),(98,1),(99,1),(101,1),(123,1),(125,1),(127,1),(137,1)}
       115:{3,5,7}:{(99,1),(100,1),(122,1),(125,1),(126,1),(138,1)}
       116:{2,3,5,6}:{(101,1),(102,1),(125,1),(127,1),(138,1)}
       117:{2,4,7}:{(102,1),(126,1),(127,1),(136,1)}
       118:{1,2,5}:{(103,1),(104,1),(128,1),(139,1)}
       119:{1,3,6}:{(104,1),(109,1),(112,1),(128,1)}
       120:{1,2,5}:{(105,1),(106,1),(107,1),(129,1)}
       121:{2,3,6}:{(107,1),(109,1),(113,1),(129,1)}
       122:{3,5}:{(108,1),(109,1),(130,1)}
       123:{1,2,6}:{(110,1),(111,1),(131,1)}
       124:{1,3,5,7}:{(111,1),(112,1),(115,1),(128,1),(131,1),(132,1),(139,1)}
       125:{3,6}:{(114,1),(115,1)}
       126:{3,4,7}:{(115,1),(117,1),(130,1),(132,1),(133,1)}
       127:{2,4,6}:{(116,1),(117,1),(133,1),(134,1)}
       128:{1,3,5}:{(118,1),(119,1),(122,1),(135,1)}
       129:{2,3,5}:{(120,1),(121,1),(122,1),(136,1)}
       130:{3,4}:{(122,1),(135,1),(136,1)}
       131:{1,3,6}:{(123,1),(124,1),(125,1),(137,1)}
       132:{1,4,7}:{(124,1),(126,1),(135,1),(137,1)}
       133:{3,4,6}:{(125,1),(126,1),(127,1),(137,1),(138,1)}
       134:{2,4,5}:{(127,1),(138,1)}
       135:{1,4}:{(128,1),(130,1)}
       136:{2,4}:{(129,1),(130,1)}
       137:{1,4,6}:{(131,1),(132,1),(133,1),(139,1)}
       138:{3,5}:{(133,1),(134,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

1119 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(30,1),(31,1),(34,1),(37,1),(38,1),(39,1),(76,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(42,1),(43,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(25,1),(50,1),(51,1),(55,1),(59,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(27,1),(28,1),(34,1)}
         4:{3,4,6}:{(1,1),(8,1),(12,1),(37,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(12,1),(62,1),(63,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(37,1),(71,1),(72,1),(76,1)}
         7:{1,2,4,5,6}:{(3,1),(15,1),(16,1),(20,1),(42,1),(43,1),(49,1),(86,1),(87,1),(88,1)}
         8:{3,5}:{(3,1),(4,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(19,1),(20,1),(25,1),(46,1),(47,1),(55,1),(60,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(21,1),(22,1),(42,1),(56,1),(78,1),(83,1),(104,1)}
        11:{2,3,4,6}:{(4,1),(18,1),(21,1),(23,1),(43,1),(57,1),(78,1),(83,1),(104,1)}
        12:{3,4,7}:{(4,1),(5,1),(19,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(24,1),(25,1),(80,1),(81,1)}
        14:{3,4,5}:{(8,1),(26,1),(27,1),(28,1),(65,1)}
        15:{3,5,6}:{(7,1),(8,1),(26,1),(32,1),(37,1)}
        16:{1,2,4,5,7}:{(7,1),(32,1),(33,1),(62,1),(63,1),(70,1),(95,1),(96,1),(97,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(34,1),(65,1),(108,1)}
        18:{2,3,5}:{(8,1),(11,1),(28,1),(34,1),(65,1),(108,1)}
        19:{3,5,7}:{(8,1),(9,1),(12,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(37,1),(38,1),(67,1),(68,1),(76,1),(77,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(34,1),(39,1),(40,1),(74,1),(76,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(35,1),(40,1),(62,1),(93,1),(98,1)}
        23:{2,3,4,7}:{(11,1),(12,1),(36,1),(40,1),(63,1),(93,1),(98,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(41,1),(77,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(41,1),(95,1),(96,1)}
        26:{3,4,6}:{(14,1),(15,1),(42,1),(43,1),(44,1),(78,1)}
        27:{1,4,5}:{(14,1),(17,1),(42,1),(111,1)}
        28:{2,4,5}:{(14,1),(18,1),(43,1),(111,1)}
        29:{3,4,5,7}:{(14,1),(19,1),(44,1),(46,1),(47,1),(48,1),(60,1),(82,1),(84,1),(110,1),(111,1)}
        30:{1,3,5,6}:{(15,1),(17,1),(42,1),(49,1),(50,1),(56,1),(78,1),(86,1),(105,1)}
        31:{2,3,5,6}:{(15,1),(18,1),(43,1),(49,1),(51,1),(57,1),(78,1),(87,1),(105,1)}
        32:{3,5,7}:{(15,1),(16,1),(44,1),(52,1)}
        33:{1,2,4,6,7}:{(16,1),(20,1),(52,1),(53,1),(80,1),(81,1),(89,1),(90,1)}
        34:{1,2,5}:{(17,1),(18,1),(21,1)}
        35:{1,3,5,7}:{(17,1),(19,1),(22,1),(46,1),(55,1),(56,1),(84,1)}
        36:{2,3,5,7}:{(18,1),(19,1),(23,1),(47,1),(55,1),(57,1),(84,1)}
        37:{3,6}:{(19,1),(20,1)}
        38:{1,2,5,6}:{(20,1),(25,1),(58,1),(86,1),(87,1)}
        39:{1,2,3,6}:{(21,1),(54,1),(59,1),(78,1)}
        40:{1,2,4,7}:{(21,1),(22,1),(23,1),(55,1),(59,1)}
        41:{3,5,7}:{(24,1),(25,1),(58,1),(60,1)}
        42:{1,4,6}:{(26,1),(27,1),(30,1),(62,1),(109,1)}
        43:{2,4,6}:{(26,1),(28,1),(31,1),(63,1),(109,1)}
        44:{3,4,7}:{(26,1),(32,1),(62,1),(63,1),(93,1)}
        45:{1,2,4,5}:{(27,1),(28,1),(34,1),(61,1),(65,1),(74,1)}
        46:{1,4,5,7}:{(27,1),(29,1),(35,1),(62,1),(67,1),(95,1)}
        47:{2,4,5,7}:{(28,1),(29,1),(36,1),(63,1),(68,1),(96,1)}
        48:{3,4,6}:{(29,1),(37,1),(67,1),(68,1),(69,1),(77,1),(99,1),(109,1)}
        49:{1,2,5,6}:{(30,1),(31,1),(34,1),(61,1),(70,1),(76,1)}
        50:{1,3,5,7}:{(30,1),(32,1),(62,1),(70,1),(71,1),(93,1),(95,1),(107,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(63,1),(70,1),(72,1),(93,1),(96,1),(107,1)}
        52:{3,6,7}:{(32,1),(33,1),(37,1)}
        53:{1,2,5,6,7}:{(33,1),(38,1),(73,1),(95,1),(96,1)}
        54:{1,2,3,5}:{(34,1),(39,1),(65,1),(74,1)}
        55:{1,2,5,7}:{(34,1),(35,1),(36,1),(40,1),(76,1)}
        56:{1,3,6}:{(35,1),(37,1),(67,1),(76,1),(99,1)}
        57:{2,3,6}:{(36,1),(37,1),(68,1),(76,1),(99,1)}
        58:{3,5,6}:{(37,1),(38,1),(41,1),(77,1)}
        59:{1,2,3,7}:{(39,1),(40,1),(93,1)}
        60:{4,5,7}:{(41,1),(77,1)}
        61:{1,2,4,6}:{(42,1),(43,1),(45,1),(49,1),(78,1),(79,1)}
        62:{1,4,7}:{(42,1),(44,1),(50,1),(110,1)}
        63:{2,4,7}:{(43,1),(44,1),(51,1),(110,1)}
        64:{3,4,6,7}:{(44,1),(48,1),(52,1),(80,1),(81,1),(82,1),(90,1),(102,1),(110,1)}
        65:{3,5}:{(45,1),(78,1),(83,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(55,1),(79,1),(84,1),(85,1),(91,1),(103,1),(106,1),(110,1),(111,1)}
        67:{1,4,6}:{(46,1),(48,1),(56,1),(86,1)}
        68:{2,4,6}:{(47,1),(48,1),(57,1),(87,1)}
        69:{3,5,6}:{(48,1),(82,1),(86,1),(87,1),(88,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(89,1)}
        71:{1,3,6,7}:{(50,1),(52,1),(56,1),(80,1),(89,1),(102,1)}
        72:{2,3,6,7}:{(51,1),(52,1),(57,1),(81,1),(89,1),(102,1)}
        73:{3,5,6,7}:{(52,1),(53,1),(58,1),(82,1),(90,1)}
        74:{1,2,4}:{(54,1),(83,1)}
        75:{1,2,3,5,7}:{(54,1),(55,1),(59,1),(84,1),(91,1),(92,1),(106,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{4,6}:{(58,1),(60,1)}
        78:{3,6}:{(61,1),(65,1),(93,1)}
        79:{1,2,4,7}:{(61,1),(62,1),(63,1),(70,1),(93,1)}
        80:{1,4,6,7}:{(62,1),(64,1),(67,1),(71,1),(95,1)}
        81:{2,4,6,7}:{(63,1),(64,1),(68,1),(72,1),(96,1)}
        82:{3,5,7}:{(64,1),(69,1),(95,1),(96,1),(97,1)}
        83:{3,4}:{(65,1),(74,1)}
        84:{3,5,7}:{(65,1),(66,1),(93,1),(98,1),(99,1),(108,1)}
        85:{1,2,4,6}:{(66,1),(67,1),(68,1),(76,1),(99,1),(100,1),(109,1)}
        86:{1,5,6}:{(67,1),(69,1),(95,1)}
        87:{2,5,6}:{(68,1),(69,1),(96,1)}
        88:{4,5,6}:{(69,1),(77,1),(97,1),(109,1)}
        89:{1,2,6,7}:{(70,1),(71,1),(72,1),(76,1)}
        90:{4,6,7}:{(73,1),(77,1),(97,1)}
        91:{1,2,4,7}:{(74,1),(75,1),(98,1),(101,1)}
        92:{1,2,3,6}:{(75,1),(76,1),(99,1),(101,1)}
        93:{3,7}:{(78,1),(79,1)}
        94:{1,2,4,6,7}:{(79,1),(80,1),(81,1),(85,1),(89,1),(102,1),(103,1),(110,1)}
        95:{1,5,7}:{(80,1),(82,1),(86,1)}
        96:{2,5,7}:{(81,1),(82,1),(87,1)}
        97:{4,5,7}:{(82,1),(88,1),(90,1),(110,1)}
        98:{3,4,7}:{(83,1),(84,1),(91,1),(104,1),(110,1)}
        99:{3,6}:{(84,1),(85,1)}
       100:{1,2,5,6}:{(85,1),(86,1),(87,1),(103,1),(105,1),(106,1)}
       101:{1,2,4,6}:{(91,1),(92,1),(104,1),(106,1)}
       102:{3,6,7}:{(93,1),(94,1),(99,1),(107,1)}
       103:{1,2,5,7}:{(94,1),(95,1),(96,1),(100,1),(107,1)}
       104:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       105:{3,5,6}:{(99,1),(100,1),(107,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(108,1)}
       107:{3,5,7}:{(102,1),(103,1),(105,1),(110,1)}
       108:{3,5}:{(104,1),(106,1),(111,1)}
       109:{4,6}:{(105,1),(110,1),(111,1)}
       110:{4,7}:{(107,1),(109,1)}
       111:{4,5}:{(108,1),(109,1)}

1120 :   0:{1,4,5,6,7}:{(1,1),(8,1),(192,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(4,1),(201,1)}
         2:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(31,1),(190,1)}
         3:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(26,1),(31,1),(157,1)}
         4:{2,5,6,7}:{(1,1),(9,1),(206,1)}
         5:{3,4,5,6}:{(7,1),(11,1),(12,1),(36,1),(165,1),(190,1)}
         6:{1,3,4,5,7}:{(13,1),(14,1),(26,1),(60,1),(71,1),(74,1),(104,1),(120,1),(152,1),(156,1)}
         7:{3,4,5,7}:{(2,1),(5,1),(15,1),(16,1),(43,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(176,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(18,1),(199,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(19,1),(20,1),(41,1),(84,1),(133,1)}
        11:{1,4,5,6}:{(5,1),(15,1),(21,1),(145,1),(176,1)}
        12:{2,4,5,6}:{(5,1),(16,1),(22,1),(181,1),(199,1)}
        13:{1,3,4,6}:{(6,1),(21,1),(24,1),(52,1),(130,1),(174,1),(176,1)}
        14:{1,2,4,5,7}:{(6,1),(24,1),(25,1),(41,1),(55,1),(79,1),(91,1),(95,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(11,1),(26,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(12,1),(27,1)}
        17:{1,3,4,6,7}:{(8,1),(13,1),(26,1),(29,1),(31,1),(60,1),(63,1)}
        18:{2,3,6,7}:{(9,1),(27,1),(30,1),(31,1),(188,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(28,1),(30,1),(31,1),(32,1),(63,1),(153,1)}
        20:{2,3,5,6,7}:{(10,1),(31,1),(32,1),(58,1),(64,1),(108,1)}
        21:{1,3,5,6}:{(11,1),(13,1),(26,1),(34,1),(36,1),(109,1),(120,1)}
        22:{2,3,5,6}:{(12,1),(27,1),(33,1),(35,1),(36,1),(162,1),(188,1)}
        23:{1,2,4,5,6}:{(11,1),(12,1),(28,1),(34,1),(35,1),(36,1),(65,1),(69,1),(70,1),(109,1),(116,1),(153,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(34,1),(37,1),(69,1)}
        25:{2,3,5,7}:{(14,1),(37,1),(39,1),(73,1),(152,1)}
        26:{1,3,5,7}:{(15,1),(17,1),(21,1),(41,1),(43,1),(84,1)}
        27:{2,3,5,7}:{(16,1),(18,1),(22,1),(40,1),(42,1),(43,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(19,1),(23,1),(41,1),(42,1),(43,1),(47,1),(79,1),(80,1),(84,1)}
        29:{1,2,4,6,7}:{(17,1),(24,1),(41,1),(44,1),(79,1)}
        30:{1,2,6,7}:{(18,1),(42,1),(45,1),(171,1)}
        31:{3,6,7}:{(19,1),(43,1),(174,1)}
        32:{2,4,6,7}:{(20,1),(46,1),(47,1),(79,1),(129,1)}
        33:{2,3,4,6}:{(22,1),(40,1),(48,1),(49,1),(52,1)}
        34:{1,2,5,6}:{(21,1),(24,1),(41,1),(50,1),(95,1)}
        35:{1,2,5,6}:{(22,1),(42,1),(49,1),(51,1),(139,1),(171,1)}
        36:{3,5,6}:{(23,1),(43,1),(52,1),(141,1),(174,1)}
        37:{2,3,6}:{(24,1),(25,1),(174,1)}
        38:{1,2,3,5,7}:{(25,1),(53,1),(55,1),(95,1),(97,1)}
        39:{2,3,4,7}:{(25,1),(54,1),(55,1),(79,1),(127,1)}
        40:{2,3,4,7}:{(27,1),(33,1),(57,1),(60,1)}
        41:{1,2,5,7}:{(26,1),(29,1),(34,1),(58,1)}
        42:{1,2,5,7}:{(27,1),(30,1),(35,1),(57,1),(59,1)}
        43:{3,5,7}:{(28,1),(31,1),(36,1),(60,1)}
        44:{2,3,6,7}:{(29,1),(31,1),(37,1),(58,1)}
        45:{1,3,6,7}:{(30,1),(31,1),(59,1),(63,1),(151,1)}
        46:{3,4,6,7}:{(31,1),(32,1),(60,1),(63,1),(64,1),(105,1)}
        47:{2,4,5,7}:{(32,1),(64,1),(65,1)}
        48:{2,3,4,5}:{(33,1),(66,1),(71,1),(159,1),(162,1)}
        49:{1,2,4,6}:{(33,1),(35,1),(57,1),(66,1),(67,1),(70,1)}
        50:{2,3,5,6}:{(34,1),(36,1),(37,1),(58,1),(69,1),(73,1)}
        51:{1,3,5,6}:{(35,1),(36,1),(59,1),(67,1),(70,1),(109,1),(114,1),(151,1)}
        52:{3,4,6}:{(36,1),(60,1),(69,1),(70,1),(71,1)}
        53:{1,2,3,6}:{(37,1),(38,1),(72,1),(123,1)}
        54:{2,3,4,6}:{(37,1),(39,1),(69,1),(72,1),(73,1),(115,1)}
        55:{1,2,4,7}:{(38,1),(39,1),(72,1),(74,1)}
        56:{2,3,4,5,7}:{(39,1),(73,1),(75,1),(76,1),(103,1),(122,1),(152,1),(165,1),(187,1),(198,1)}
        57:{1,2,4,7}:{(40,1),(42,1),(49,1),(77,1),(80,1)}
        58:{2,3,5,7}:{(41,1),(43,1),(44,1),(50,1),(79,1)}
        59:{1,3,5,7}:{(42,1),(43,1),(45,1),(51,1),(77,1),(80,1),(84,1)}
        60:{3,4,7}:{(43,1),(52,1),(79,1),(80,1)}
        61:{1,2,3,6,7}:{(44,1),(45,1),(53,1),(78,1),(82,1),(148,1),(171,1),(174,1),(200,1)}
        62:{2,3,4,6,7}:{(44,1),(46,1),(54,1),(79,1),(82,1),(83,1),(127,1),(129,1),(174,1)}
        63:{1,4,6,7}:{(45,1),(46,1),(80,1),(84,1),(130,1)}
        64:{3,5,7}:{(46,1),(47,1),(84,1),(85,1)}
        65:{2,4,5,6}:{(47,1),(85,1),(129,1)}
        66:{1,2,4,5}:{(48,1),(49,1),(87,1),(92,1),(136,1),(139,1)}
        67:{1,3,6}:{(49,1),(77,1),(87,1)}
        68:{1,2,3,5,6}:{(50,1),(51,1),(53,1),(78,1),(88,1),(90,1),(95,1),(133,1),(139,1),(141,1),(146,1),(171,1),(174,1),(182,1)}
        69:{2,4,6}:{(50,1),(52,1),(79,1),(91,1)}
        70:{1,4,6}:{(51,1),(52,1),(80,1),(92,1)}
        71:{3,4,5}:{(52,1),(91,1),(92,1),(141,1)}
        72:{1,2,4,6}:{(53,1),(54,1),(55,1),(94,1),(95,1)}
        73:{2,3,5}:{(54,1),(91,1),(95,1),(141,1)}
        74:{1,3,4,7}:{(55,1),(94,1),(97,1),(127,1),(186,1)}
        75:{1,2,4,5,7}:{(55,1),(56,1),(95,1),(97,1),(98,1),(145,1),(147,1),(186,1)}
        76:{2,3,4,6}:{(56,1),(96,1),(98,1),(129,1),(174,1),(184,1),(199,1)}
        77:{1,3,7}:{(57,1),(67,1)}
        78:{1,2,3,5,7}:{(58,1),(59,1),(61,1),(68,1),(100,1),(102,1),(107,1),(150,1),(152,1),(169,1),(197,1)}
        79:{2,4,7}:{(58,1),(60,1),(69,1)}
        80:{1,4,7}:{(59,1),(60,1),(70,1)}
        81:{3,4,5,7}:{(60,1),(64,1),(71,1),(103,1),(104,1),(105,1),(152,1)}
        82:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(72,1),(102,1),(106,1),(107,1),(153,1),(207,1)}
        83:{2,3,5,7}:{(62,1),(64,1),(73,1),(103,1),(107,1),(108,1),(152,1)}
        84:{1,5,7}:{(63,1),(64,1),(109,1)}
        85:{3,5,6}:{(64,1),(65,1),(105,1),(109,1)}
        86:{2,4,5,6,7}:{(65,1),(110,1),(154,1)}
        87:{1,3,5}:{(66,1),(67,1),(112,1)}
        88:{1,2,3,6}:{(67,1),(100,1),(111,1),(113,1),(194,1)}
        89:{1,3,4,6}:{(67,1),(70,1),(101,1),(112,1),(113,1),(114,1),(115,1),(151,1)}
        90:{1,2,4,6}:{(68,1),(69,1),(70,1),(102,1),(115,1),(116,1),(168,1),(196,1)}
        91:{2,4,5}:{(69,1),(71,1),(73,1)}
        92:{1,4,5}:{(70,1),(71,1),(114,1)}
        93:{3,4,5,6}:{(71,1),(105,1),(117,1),(118,1),(119,1),(166,1)}
        94:{1,3,4,6}:{(72,1),(74,1),(115,1),(120,1),(123,1),(168,1)}
        95:{1,2,5}:{(72,1),(73,1),(120,1)}
        96:{2,3,5,6}:{(73,1),(76,1),(117,1),(121,1),(122,1),(166,1),(206,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(120,1),(123,1),(152,1)}
        98:{1,2,4,6}:{(75,1),(76,1),(121,1),(123,1),(168,1)}
        99:{2,3,4,6,7}:{(76,1),(122,1),(124,1),(154,1),(191,1),(198,1),(207,1)}
       100:{1,2,3,7}:{(77,1),(88,1),(125,1),(204,1)}
       101:{1,3,4,7}:{(77,1),(80,1),(89,1),(125,1),(126,1),(127,1)}
       102:{1,2,4,7}:{(78,1),(79,1),(80,1),(90,1),(127,1),(186,1),(205,1)}
       103:{2,4,5,7}:{(79,1),(81,1),(83,1),(91,1),(129,1)}
       104:{1,4,5,7}:{(80,1),(81,1),(84,1),(92,1),(126,1),(130,1)}
       105:{3,4,6}:{(81,1),(85,1),(129,1),(130,1),(174,1)}
       106:{1,3,4,6,7}:{(82,1),(94,1),(127,1),(132,1),(148,1),(174,1),(176,1),(186,1),(202,1)}
       107:{1,2,5,7}:{(82,1),(83,1),(84,1),(95,1),(132,1),(133,1),(209,1)}
       108:{2,3,5,6}:{(83,1),(85,1),(129,1),(133,1),(174,1)}
       109:{1,5,6}:{(84,1),(85,1),(130,1)}
       110:{3,5,6,7}:{(85,1),(86,1),(131,1),(135,1)}
       111:{1,2,3,5}:{(87,1),(88,1),(136,1),(139,1),(178,1)}
       112:{1,3,4}:{(87,1),(136,1)}
       113:{1,2,4,6}:{(88,1),(89,1),(125,1),(136,1),(138,1),(139,1),(171,1)}
       114:{1,3,5}:{(89,1),(92,1),(139,1),(141,1)}
       115:{3,4,6}:{(90,1),(127,1),(141,1),(174,1)}
       116:{1,2,4,5}:{(90,1),(91,1),(92,1),(95,1),(139,1),(141,1),(145,1),(181,1)}
       117:{2,4,5,6}:{(91,1),(93,1),(96,1),(129,1),(143,1)}
       118:{1,4,5,6}:{(92,1),(93,1),(130,1),(140,1),(144,1)}
       119:{3,4,5,7}:{(93,1),(131,1),(143,1),(144,1),(185,1)}
       120:{1,3,5}:{(94,1),(95,1),(141,1),(145,1)}
       121:{1,2,5,6}:{(95,1),(96,1),(98,1),(146,1),(147,1)}
       122:{2,3,5,7}:{(96,1),(99,1),(143,1),(147,1),(185,1),(209,1)}
       123:{1,3,6}:{(97,1),(98,1),(174,1)}
       124:{1,2,4,6,7}:{(98,1),(99,1),(147,1),(148,1),(186,1)}
       125:{1,2,4,7}:{(100,1),(101,1),(113,1),(149,1),(150,1)}
       126:{1,3,5,7}:{(101,1),(104,1),(114,1),(150,1),(151,1),(152,1)}
       127:{3,4,7}:{(102,1),(115,1),(152,1)}
       128:{1,2,4,5,7}:{(102,1),(103,1),(104,1),(107,1),(116,1),(150,1),(152,1),(153,1),(156,1),(187,1)}
       129:{2,4,6}:{(103,1),(105,1),(108,1)}
       130:{1,4,6}:{(104,1),(105,1),(109,1),(151,1)}
       131:{3,4,6,7}:{(105,1),(110,1),(119,1),(154,1),(155,1),(191,1)}
       132:{1,3,5,7}:{(106,1),(107,1),(120,1),(152,1),(156,1),(157,1),(208,1)}
       133:{1,2,5,6}:{(107,1),(108,1),(109,1),(153,1),(157,1),(206,1)}
       134:{2,3,5,6,7}:{(108,1),(110,1),(122,1),(154,1),(158,1),(191,1)}
       135:{1,5,6,7}:{(109,1),(110,1),(155,1)}
       136:{1,2,4}:{(111,1),(112,1),(159,1)}
       137:{1,3,4,5}:{(112,1),(114,1),(160,1),(161,1),(165,1)}
       138:{2,3,4,6}:{(113,1),(115,1),(149,1),(159,1),(162,1),(188,1),(194,1),(196,1)}
       139:{1,2,5}:{(113,1),(114,1),(162,1)}
       140:{1,3,5,6}:{(114,1),(118,1),(151,1),(161,1),(163,1),(164,1),(166,1)}
       141:{3,5}:{(115,1),(116,1)}
       142:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(121,1),(153,1),(163,1),(166,1),(167,1),(168,1),(192,1),(196,1),(206,1)}
       143:{2,4,5,7}:{(117,1),(119,1),(122,1),(154,1)}
       144:{1,4,5,7}:{(118,1),(119,1),(155,1),(164,1)}
       145:{1,4,5}:{(120,1),(165,1),(168,1)}
       146:{1,3,5,6}:{(120,1),(121,1),(123,1),(166,1),(168,1),(169,1)}
       147:{1,2,5,7}:{(121,1),(122,1),(124,1),(169,1)}
       148:{1,3,6,7}:{(123,1),(124,1),(169,1),(191,1)}
       149:{2,3,4,7}:{(125,1),(127,1),(138,1),(170,1),(204,1),(205,1)}
       150:{1,2,5,7}:{(125,1),(126,1),(139,1),(170,1),(171,1)}
       151:{1,3,6}:{(126,1),(130,1),(171,1),(174,1)}
       152:{3,5,7}:{(127,1),(128,1),(141,1),(174,1)}
       153:{1,2,4,6}:{(128,1),(129,1),(130,1),(133,1),(171,1),(174,1),(176,1),(199,1)}
       154:{2,4,6,7}:{(129,1),(131,1),(134,1),(143,1)}
       155:{1,4,6,7}:{(130,1),(131,1),(135,1),(144,1),(172,1)}
       156:{1,4,5,7}:{(132,1),(145,1),(173,1),(176,1),(186,1)}
       157:{1,3,5,6}:{(132,1),(133,1),(174,1),(176,1),(201,1)}
       158:{1,2,5,6,7}:{(133,1),(134,1),(135,1),(147,1),(175,1),(177,1),(209,1)}
       159:{2,3,4}:{(136,1),(178,1)}
       160:{1,2,4,5}:{(136,1),(137,1),(139,1),(178,1),(179,1),(181,1)}
       161:{1,3,4,6}:{(137,1),(140,1),(179,1),(180,1),(184,1)}
       162:{2,3,5}:{(138,1),(139,1),(141,1),(181,1)}
       163:{1,2,5,6}:{(139,1),(140,1),(171,1),(179,1),(182,1),(183,1)}
       164:{1,3,5,7}:{(140,1),(144,1),(172,1),(180,1),(183,1),(185,1)}
       165:{3,4,5}:{(141,1),(145,1),(181,1),(184,1)}
       166:{3,5,6}:{(141,1),(142,1),(174,1),(184,1),(185,1)}
       167:{1,2,4,5,7}:{(142,1),(143,1),(144,1),(147,1),(175,1),(183,1),(185,1),(186,1),(203,1),(205,1),(209,1)}
       168:{1,4,6}:{(145,1),(146,1),(184,1),(186,1)}
       169:{1,3,5,7}:{(146,1),(147,1),(148,1),(185,1),(186,1)}
       170:{2,3,5,7}:{(149,1),(150,1),(152,1),(162,1),(187,1),(188,1)}
       171:{1,2,6}:{(150,1),(151,1),(188,1)}
       172:{1,3,6,7}:{(151,1),(155,1),(164,1),(189,1),(191,1)}
       173:{3,4,5,7}:{(152,1),(156,1),(165,1),(187,1),(190,1),(198,1),(208,1)}
       174:{3,6}:{(152,1),(153,1)}
       175:{1,2,4,6,7}:{(153,1),(154,1),(155,1),(158,1),(167,1),(189,1),(191,1),(193,1),(207,1)}
       176:{1,4,6}:{(156,1),(157,1),(190,1)}
       177:{1,3,5,6,7}:{(157,1),(158,1),(169,1),(191,1),(193,1),(208,1)}
       178:{2,3,5}:{(159,1),(160,1),(194,1)}
       179:{1,2,4,6}:{(160,1),(161,1),(163,1),(194,1),(195,1),(196,1)}
       180:{1,3,4,7}:{(161,1),(164,1),(195,1),(198,1)}
       181:{2,4,5}:{(162,1),(165,1),(196,1)}
       182:{2,3,5,6}:{(162,1),(163,1),(166,1),(188,1),(194,1),(196,1),(197,1),(206,1)}
       183:{1,2,5,7}:{(163,1),(164,1),(189,1),(195,1),(197,1)}
       184:{3,4,6}:{(165,1),(166,1),(168,1),(196,1),(198,1)}
       185:{3,5,7}:{(166,1),(167,1),(191,1),(198,1)}
       186:{1,4,7}:{(168,1),(169,1),(198,1)}
       187:{2,4,5,7}:{(170,1),(173,1),(181,1),(199,1),(205,1),(209,1)}
       188:{2,3,6}:{(170,1),(171,1),(174,1),(199,1)}
       189:{1,2,6,7}:{(171,1),(172,1),(183,1),(200,1)}
       190:{3,4,6}:{(173,1),(174,1),(176,1),(199,1),(201,1)}
       191:{3,6,7}:{(174,1),(175,1),(185,1)}
       192:{1,4,5,6}:{(176,1),(201,1),(203,1)}
       193:{1,4,6,7}:{(176,1),(177,1),(186,1),(202,1),(203,1)}
       194:{2,3,6}:{(178,1),(179,1),(204,1)}
       195:{1,2,4,7}:{(179,1),(180,1),(183,1),(204,1),(205,1)}
       196:{2,4,6}:{(181,1),(182,1),(184,1),(205,1)}
       197:{2,3,5,7}:{(182,1),(183,1),(185,1),(200,1),(204,1),(205,1),(209,1)}
       198:{3,4,7}:{(184,1),(185,1),(186,1),(205,1)}
       199:{2,4,6}:{(187,1),(188,1),(190,1),(206,1)}
       200:{2,3,6,7}:{(188,1),(189,1),(191,1),(197,1),(207,1)}
       201:{3,5,6}:{(190,1),(192,1),(206,1),(208,1)}
       202:{3,4,6,7}:{(190,1),(191,1),(193,1),(198,1),(207,1),(208,1)}
       203:{1,4,5,7}:{(192,1),(193,1),(208,1)}
       204:{2,3,7}:{(194,1),(195,1)}
       205:{2,4,7}:{(196,1),(197,1),(198,1)}
       206:{2,5,6}:{(199,1),(201,1),(209,1)}
       207:{2,4,6,7}:{(199,1),(200,1),(202,1),(205,1),(209,1)}
       208:{3,5,7}:{(201,1),(202,1),(203,1),(209,1)}
       209:{2,5,7}:{(206,1),(207,1),(208,1)}

1121 :   0:{2,4,5,6,7}:{(1,1),(7,1),(183,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(196,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(26,1),(181,1)}
         3:{1,5,6,7}:{(1,1),(6,1),(204,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(22,1),(26,1),(144,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(11,1),(12,1),(36,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(11,1),(13,1),(194,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(12,1),(165,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(15,1),(16,1),(35,1),(72,1),(119,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(44,1),(173,1),(181,1)}
        10:{2,3,4,5,7}:{(19,1),(20,1),(22,1),(51,1),(81,1),(84,1),(90,1),(131,1),(139,1),(143,1)}
        11:{1,4,5,7}:{(5,1),(6,1),(17,1),(21,1)}
        12:{2,4,5,7}:{(5,1),(7,1),(18,1),(22,1)}
        13:{1,3,6,7}:{(6,1),(21,1),(24,1),(26,1),(179,1)}
        14:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(25,1),(26,1),(51,1),(53,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(23,1),(24,1),(26,1),(27,1),(53,1),(140,1)}
        16:{1,3,5,6,7}:{(8,1),(26,1),(27,1),(50,1),(55,1),(96,1)}
        17:{1,4,5,6}:{(9,1),(11,1),(28,1),(188,1),(194,1)}
        18:{2,4,5,6}:{(9,1),(12,1),(29,1),(155,1),(165,1)}
        19:{2,3,4,6}:{(10,1),(29,1),(31,1),(61,1),(115,1),(163,1),(165,1)}
        20:{1,2,4,5,7}:{(10,1),(31,1),(32,1),(35,1),(64,1),(69,1),(103,1),(106,1)}
        21:{1,3,5,7}:{(11,1),(13,1),(28,1),(33,1),(34,1),(36,1)}
        22:{2,3,5,7}:{(12,1),(14,1),(29,1),(35,1),(36,1),(72,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(15,1),(30,1),(34,1),(35,1),(36,1),(40,1),(68,1),(69,1),(72,1)}
        24:{1,2,6,7}:{(13,1),(34,1),(37,1),(160,1)}
        25:{1,2,4,6,7}:{(14,1),(31,1),(35,1),(38,1),(69,1)}
        26:{3,6,7}:{(15,1),(36,1),(163,1)}
        27:{1,4,6,7}:{(16,1),(39,1),(40,1),(69,1),(116,1)}
        28:{1,3,5,6}:{(17,1),(21,1),(41,1),(42,1),(44,1),(170,1),(179,1)}
        29:{2,3,5,6}:{(18,1),(19,1),(22,1),(43,1),(44,1),(95,1),(131,1)}
        30:{1,2,4,5,6}:{(17,1),(18,1),(23,1),(42,1),(43,1),(44,1),(56,1),(79,1),(80,1),(95,1),(127,1),(140,1)}
        31:{1,2,4,6}:{(19,1),(20,1),(43,1),(45,1),(80,1)}
        32:{1,3,5,7}:{(20,1),(45,1),(47,1),(83,1),(139,1)}
        33:{1,3,4,7}:{(21,1),(41,1),(48,1),(51,1)}
        34:{1,2,5,7}:{(21,1),(24,1),(42,1),(48,1),(49,1)}
        35:{1,2,5,7}:{(22,1),(25,1),(43,1),(50,1)}
        36:{3,5,7}:{(23,1),(26,1),(44,1),(51,1)}
        37:{2,3,6,7}:{(24,1),(26,1),(49,1),(53,1),(138,1)}
        38:{1,3,6,7}:{(25,1),(26,1),(45,1),(50,1)}
        39:{3,4,6,7}:{(26,1),(27,1),(51,1),(53,1),(55,1),(92,1)}
        40:{1,4,5,7}:{(27,1),(55,1),(56,1)}
        41:{1,3,4,6}:{(28,1),(33,1),(57,1),(58,1),(61,1)}
        42:{1,2,5,6}:{(28,1),(34,1),(58,1),(59,1),(149,1),(160,1)}
        43:{1,2,5,6}:{(29,1),(31,1),(35,1),(60,1),(106,1)}
        44:{3,5,6}:{(30,1),(36,1),(61,1),(151,1),(163,1)}
        45:{1,3,6}:{(31,1),(32,1),(163,1)}
        46:{1,2,3,5,7}:{(32,1),(62,1),(64,1),(106,1),(108,1)}
        47:{1,3,4,7}:{(32,1),(63,1),(64,1),(69,1),(113,1)}
        48:{1,2,4,7}:{(33,1),(34,1),(58,1),(66,1),(68,1)}
        49:{2,3,5,7}:{(34,1),(36,1),(37,1),(59,1),(66,1),(68,1),(72,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(38,1),(60,1),(69,1)}
        51:{3,4,7}:{(36,1),(61,1),(68,1),(69,1)}
        52:{1,2,3,6,7}:{(37,1),(38,1),(62,1),(67,1),(71,1),(158,1),(160,1),(163,1),(195,1)}
        53:{2,4,6,7}:{(37,1),(39,1),(68,1),(72,1),(115,1)}
        54:{1,3,4,6,7}:{(38,1),(39,1),(63,1),(69,1),(71,1),(73,1),(113,1),(116,1),(163,1)}
        55:{3,5,7}:{(39,1),(40,1),(72,1),(74,1)}
        56:{1,4,5,6}:{(40,1),(74,1),(116,1)}
        57:{1,3,4,5}:{(41,1),(76,1),(81,1),(167,1),(170,1)}
        58:{1,2,4,6}:{(41,1),(42,1),(48,1),(76,1),(77,1),(79,1)}
        59:{2,3,5,6}:{(42,1),(44,1),(49,1),(77,1),(79,1),(95,1),(125,1),(138,1)}
        60:{1,3,5,6}:{(43,1),(44,1),(45,1),(50,1),(80,1),(83,1)}
        61:{3,4,6}:{(44,1),(51,1),(79,1),(80,1),(81,1)}
        62:{1,2,3,6}:{(45,1),(46,1),(82,1),(134,1)}
        63:{1,3,4,6}:{(45,1),(47,1),(80,1),(82,1),(83,1),(126,1)}
        64:{1,2,4,7}:{(46,1),(47,1),(82,1),(84,1)}
        65:{1,3,4,5,7}:{(47,1),(83,1),(85,1),(86,1),(91,1),(133,1),(139,1),(173,1),(178,1),(203,1)}
        66:{2,3,7}:{(48,1),(77,1)}
        67:{1,2,3,5,7}:{(49,1),(50,1),(52,1),(78,1),(87,1),(89,1),(94,1),(137,1),(139,1),(177,1),(202,1)}
        68:{2,4,7}:{(49,1),(51,1),(79,1)}
        69:{1,4,7}:{(50,1),(51,1),(80,1)}
        70:{3,4,5,7}:{(51,1),(55,1),(81,1),(90,1),(91,1),(92,1),(139,1)}
        71:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(82,1),(89,1),(93,1),(94,1),(140,1),(205,1)}
        72:{2,5,7}:{(53,1),(55,1),(95,1)}
        73:{1,3,5,7}:{(54,1),(55,1),(83,1),(91,1),(94,1),(96,1),(139,1)}
        74:{3,5,6}:{(55,1),(56,1),(92,1),(95,1)}
        75:{1,4,5,6,7}:{(56,1),(97,1),(142,1)}
        76:{1,2,4,5}:{(57,1),(58,1),(98,1),(102,1),(146,1),(149,1)}
        77:{2,3,6}:{(58,1),(66,1),(98,1)}
        78:{1,2,3,5,6}:{(59,1),(60,1),(62,1),(67,1),(99,1),(101,1),(106,1),(119,1),(149,1),(151,1),(156,1),(160,1),(163,1),(189,1)}
        79:{2,4,6}:{(59,1),(61,1),(68,1),(102,1)}
        80:{1,4,6}:{(60,1),(61,1),(69,1),(103,1)}
        81:{3,4,5}:{(61,1),(102,1),(103,1),(151,1)}
        82:{1,2,4,6}:{(62,1),(63,1),(64,1),(105,1),(106,1)}
        83:{1,3,5}:{(63,1),(103,1),(106,1),(151,1)}
        84:{2,3,4,7}:{(64,1),(105,1),(108,1),(113,1),(193,1)}
        85:{1,2,4,5,7}:{(64,1),(65,1),(106,1),(108,1),(109,1),(155,1),(157,1),(193,1)}
        86:{1,3,4,6}:{(65,1),(107,1),(109,1),(116,1),(163,1),(191,1),(194,1)}
        87:{1,2,3,7}:{(66,1),(99,1),(111,1),(207,1)}
        88:{2,3,4,7}:{(66,1),(68,1),(100,1),(111,1),(112,1),(113,1)}
        89:{1,2,4,7}:{(67,1),(68,1),(69,1),(101,1),(113,1),(193,1),(208,1)}
        90:{2,4,5,7}:{(68,1),(70,1),(72,1),(102,1),(112,1),(115,1)}
        91:{1,4,5,7}:{(69,1),(70,1),(73,1),(103,1),(116,1)}
        92:{3,4,6}:{(70,1),(74,1),(115,1),(116,1),(163,1)}
        93:{2,3,4,6,7}:{(71,1),(105,1),(113,1),(118,1),(158,1),(163,1),(165,1),(193,1),(197,1)}
        94:{1,2,5,7}:{(71,1),(72,1),(73,1),(106,1),(118,1),(119,1),(209,1)}
        95:{2,5,6}:{(72,1),(74,1),(115,1)}
        96:{1,3,5,6}:{(73,1),(74,1),(116,1),(119,1),(163,1)}
        97:{3,5,6,7}:{(74,1),(75,1),(117,1),(120,1)}
        98:{2,3,5}:{(76,1),(77,1),(123,1)}
        99:{1,2,3,6}:{(77,1),(87,1),(122,1),(124,1),(199,1)}
       100:{2,3,4,6}:{(77,1),(79,1),(88,1),(123,1),(124,1),(125,1),(126,1),(138,1)}
       101:{1,2,4,6}:{(78,1),(79,1),(80,1),(89,1),(126,1),(127,1),(176,1),(201,1)}
       102:{2,4,5}:{(79,1),(81,1),(125,1)}
       103:{1,4,5}:{(80,1),(81,1),(83,1)}
       104:{3,4,5,6}:{(81,1),(92,1),(128,1),(129,1),(130,1),(174,1)}
       105:{2,3,4,6}:{(82,1),(84,1),(126,1),(131,1),(134,1),(176,1)}
       106:{1,2,5}:{(82,1),(83,1),(131,1)}
       107:{1,3,5,6}:{(83,1),(86,1),(129,1),(132,1),(133,1),(174,1),(204,1)}
       108:{2,3,5,7}:{(84,1),(85,1),(131,1),(134,1),(139,1)}
       109:{1,2,4,6}:{(85,1),(86,1),(132,1),(134,1),(176,1)}
       110:{1,3,4,6,7}:{(86,1),(133,1),(135,1),(142,1),(182,1),(203,1),(205,1)}
       111:{1,2,4,7}:{(87,1),(88,1),(124,1),(136,1),(137,1)}
       112:{2,3,5,7}:{(88,1),(90,1),(125,1),(137,1),(138,1),(139,1)}
       113:{3,4,7}:{(89,1),(126,1),(139,1)}
       114:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(127,1),(137,1),(139,1),(140,1),(143,1),(178,1)}
       115:{2,4,6}:{(90,1),(92,1),(95,1),(138,1)}
       116:{1,4,6}:{(91,1),(92,1),(96,1)}
       117:{3,4,6,7}:{(92,1),(97,1),(130,1),(141,1),(142,1),(182,1)}
       118:{2,3,5,7}:{(93,1),(94,1),(131,1),(139,1),(143,1),(144,1),(206,1)}
       119:{1,2,5,6}:{(94,1),(95,1),(96,1),(140,1),(144,1),(204,1)}
       120:{2,5,6,7}:{(95,1),(97,1),(141,1)}
       121:{1,3,5,6,7}:{(96,1),(97,1),(133,1),(142,1),(145,1),(182,1)}
       122:{1,2,3,5}:{(98,1),(99,1),(146,1),(149,1),(185,1)}
       123:{2,3,4}:{(98,1),(146,1)}
       124:{1,2,4,6}:{(99,1),(100,1),(111,1),(146,1),(148,1),(149,1),(160,1)}
       125:{2,3,5}:{(100,1),(102,1),(149,1),(151,1)}
       126:{3,4,6}:{(101,1),(113,1),(151,1),(163,1)}
       127:{1,2,4,5}:{(101,1),(102,1),(103,1),(106,1),(149,1),(151,1),(155,1),(188,1)}
       128:{2,4,5,6}:{(102,1),(104,1),(115,1),(150,1),(153,1)}
       129:{1,4,5,6}:{(103,1),(104,1),(107,1),(116,1),(154,1)}
       130:{3,4,5,7}:{(104,1),(117,1),(153,1),(154,1),(192,1)}
       131:{2,3,5}:{(105,1),(106,1),(151,1),(155,1)}
       132:{1,2,5,6}:{(106,1),(107,1),(109,1),(156,1),(157,1)}
       133:{1,3,5,7}:{(107,1),(110,1),(154,1),(157,1),(192,1),(209,1)}
       134:{2,3,6}:{(108,1),(109,1),(163,1)}
       135:{1,2,4,6,7}:{(109,1),(110,1),(157,1),(158,1),(193,1)}
       136:{1,3,4,7}:{(111,1),(113,1),(148,1),(159,1),(207,1),(208,1)}
       137:{1,2,5,7}:{(111,1),(112,1),(149,1),(159,1),(160,1)}
       138:{2,3,6}:{(112,1),(115,1),(160,1),(163,1)}
       139:{3,5,7}:{(113,1),(114,1),(151,1),(163,1)}
       140:{1,2,4,6}:{(114,1),(115,1),(116,1),(119,1),(160,1),(163,1),(165,1),(194,1)}
       141:{2,4,6,7}:{(115,1),(117,1),(120,1),(153,1),(161,1)}
       142:{1,4,6,7}:{(116,1),(117,1),(121,1),(154,1)}
       143:{2,4,5,7}:{(118,1),(155,1),(162,1),(165,1),(193,1)}
       144:{2,3,5,6}:{(118,1),(119,1),(163,1),(165,1),(196,1)}
       145:{1,2,5,6,7}:{(119,1),(120,1),(121,1),(157,1),(164,1),(166,1),(209,1)}
       146:{1,2,4}:{(122,1),(123,1),(167,1)}
       147:{2,3,4,5}:{(123,1),(125,1),(168,1),(169,1),(173,1)}
       148:{1,3,4,6}:{(124,1),(126,1),(136,1),(167,1),(170,1),(179,1),(199,1),(201,1)}
       149:{1,2,5}:{(124,1),(125,1),(170,1)}
       150:{2,3,5,6}:{(125,1),(128,1),(138,1),(169,1),(171,1),(172,1),(174,1)}
       151:{3,5}:{(126,1),(127,1)}
       152:{1,2,4,5,6}:{(127,1),(128,1),(129,1),(132,1),(140,1),(171,1),(174,1),(175,1),(176,1),(183,1),(201,1),(204,1)}
       153:{2,4,5,7}:{(128,1),(130,1),(141,1),(172,1)}
       154:{1,4,5,7}:{(129,1),(130,1),(133,1),(142,1)}
       155:{2,4,5}:{(131,1),(173,1),(176,1)}
       156:{2,3,5,6}:{(131,1),(132,1),(134,1),(174,1),(176,1),(177,1)}
       157:{1,2,5,7}:{(132,1),(133,1),(135,1),(177,1)}
       158:{2,3,6,7}:{(134,1),(135,1),(177,1),(182,1)}
       159:{1,3,5,7}:{(136,1),(137,1),(139,1),(170,1),(178,1),(179,1)}
       160:{1,2,6}:{(137,1),(138,1),(179,1)}
       161:{2,3,6,7}:{(138,1),(141,1),(172,1),(180,1),(182,1)}
       162:{3,4,5,7}:{(139,1),(143,1),(173,1),(178,1),(181,1),(203,1),(206,1)}
       163:{3,6}:{(139,1),(140,1)}
       164:{1,2,4,6,7}:{(140,1),(141,1),(142,1),(145,1),(175,1),(180,1),(182,1),(184,1),(205,1)}
       165:{2,4,6}:{(143,1),(144,1),(181,1)}
       166:{2,3,5,6,7}:{(144,1),(145,1),(177,1),(182,1),(184,1),(206,1)}
       167:{1,3,4}:{(146,1),(185,1)}
       168:{1,2,4,5}:{(146,1),(147,1),(149,1),(185,1),(186,1),(188,1)}
       169:{2,3,4,6}:{(147,1),(150,1),(186,1),(187,1),(191,1)}
       170:{1,3,5}:{(148,1),(149,1),(151,1),(188,1)}
       171:{1,2,5,6}:{(149,1),(150,1),(160,1),(186,1),(189,1),(190,1)}
       172:{2,3,5,7}:{(150,1),(153,1),(161,1),(187,1),(190,1),(192,1)}
       173:{3,4,5}:{(151,1),(155,1),(188,1),(191,1)}
       174:{3,5,6}:{(151,1),(152,1),(163,1),(191,1),(192,1)}
       175:{1,2,4,5,7}:{(152,1),(153,1),(154,1),(157,1),(164,1),(190,1),(192,1),(193,1),(198,1),(208,1),(209,1)}
       176:{2,4,6}:{(155,1),(156,1),(191,1),(193,1)}
       177:{2,3,5,7}:{(156,1),(157,1),(158,1),(192,1),(193,1)}
       178:{1,4,5,7}:{(159,1),(162,1),(188,1),(194,1),(208,1),(209,1)}
       179:{1,3,6}:{(159,1),(160,1),(163,1),(194,1)}
       180:{1,2,6,7}:{(160,1),(161,1),(190,1),(195,1)}
       181:{3,4,6}:{(162,1),(163,1),(165,1),(194,1),(196,1)}
       182:{3,6,7}:{(163,1),(164,1),(192,1)}
       183:{2,4,5,6}:{(165,1),(196,1),(198,1)}
       184:{2,4,6,7}:{(165,1),(166,1),(193,1),(197,1),(198,1)}
       185:{1,3,5}:{(167,1),(168,1),(199,1)}
       186:{1,2,4,6}:{(168,1),(169,1),(171,1),(199,1),(200,1),(201,1)}
       187:{2,3,4,7}:{(169,1),(172,1),(200,1),(203,1)}
       188:{1,4,5}:{(170,1),(173,1),(201,1)}
       189:{1,3,5,6}:{(170,1),(171,1),(174,1),(179,1),(199,1),(201,1),(202,1),(204,1)}
       190:{1,2,5,7}:{(171,1),(172,1),(180,1),(200,1),(202,1)}
       191:{3,4,6}:{(173,1),(174,1),(176,1),(201,1),(203,1)}
       192:{3,5,7}:{(174,1),(175,1),(182,1),(203,1)}
       193:{2,4,7}:{(176,1),(177,1),(203,1)}
       194:{1,4,6}:{(178,1),(179,1),(181,1),(204,1)}
       195:{1,3,6,7}:{(179,1),(180,1),(182,1),(202,1),(205,1)}
       196:{3,5,6}:{(181,1),(183,1),(204,1),(206,1)}
       197:{3,4,6,7}:{(181,1),(182,1),(184,1),(203,1),(205,1),(206,1)}
       198:{2,4,5,7}:{(183,1),(184,1),(206,1)}
       199:{1,3,6}:{(185,1),(186,1),(207,1)}
       200:{1,2,4,7}:{(186,1),(187,1),(190,1),(207,1),(208,1)}
       201:{1,4,6}:{(188,1),(189,1),(191,1),(208,1)}
       202:{1,3,5,7}:{(189,1),(190,1),(192,1),(195,1),(207,1),(208,1),(209,1)}
       203:{3,4,7}:{(191,1),(192,1),(193,1),(208,1)}
       204:{1,5,6}:{(194,1),(196,1),(209,1)}
       205:{1,4,6,7}:{(194,1),(195,1),(197,1),(208,1),(209,1)}
       206:{3,5,7}:{(196,1),(197,1),(198,1),(209,1)}
       207:{1,3,7}:{(199,1),(200,1)}
       208:{1,4,7}:{(201,1),(202,1),(203,1)}
       209:{1,5,7}:{(204,1),(205,1),(206,1)}

1122 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(17,1),(18,1),(38,1),(47,1),(74,1),(75,1),(78,1),(102,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(58,1),(59,1),(87,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(21,1),(26,1),(27,1),(28,1),(58,1),(59,1)}
         3:{3,5,6}:{(0,1),(6,1),(7,1),(65,1),(89,1),(101,1)}
         4:{3,5,6,7}:{(1,1),(10,1),(11,1),(39,1),(95,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(10,1),(11,1),(40,1),(41,1),(42,1),(78,1)}
         6:{3,5,7}:{(2,1),(3,1),(11,1),(12,1)}
         7:{3,4,6}:{(3,1),(12,1),(15,1),(16,1),(17,1),(48,1),(80,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(16,1),(18,1),(36,1),(48,1),(69,1),(70,1),(74,1),(91,1),(95,1),(102,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(33,1),(48,1),(66,1),(73,1),(75,1),(93,1),(95,1),(103,1)}
        10:{4,6,7}:{(4,1),(21,1),(100,1)}
        11:{3,6,7}:{(5,1),(6,1),(89,1)}
        12:{3,4,7}:{(6,1),(7,1),(26,1),(27,1),(64,1)}
        13:{1,3,5,7}:{(6,1),(8,1),(23,1),(26,1),(28,1),(58,1),(64,1),(88,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(24,1),(27,1),(28,1),(59,1),(64,1),(88,1)}
        15:{3,4,5}:{(7,1),(29,1),(30,1),(65,1),(101,1)}
        16:{1,4,6}:{(7,1),(8,1),(26,1),(29,1),(83,1),(100,1)}
        17:{2,4,6}:{(7,1),(9,1),(27,1),(30,1),(86,1),(100,1)}
        18:{1,2,5,6}:{(8,1),(9,1),(28,1),(31,1),(51,1),(55,1),(81,1),(84,1)}
        19:{2,3,4,6}:{(17,1),(32,1),(33,1),(34,1),(48,1),(66,1),(80,1),(97,1)}
        20:{1,3,4,6}:{(16,1),(35,1),(36,1),(37,1),(48,1),(70,1),(80,1),(97,1)}
        21:{4,5,7}:{(10,1),(38,1),(39,1),(96,1),(104,1)}
        22:{3,4,6,7}:{(10,1),(11,1),(12,1),(39,1),(40,1),(41,1),(43,1),(77,1),(96,1),(97,1)}
        23:{1,3,6,7}:{(11,1),(13,1),(40,1),(42,1),(70,1),(77,1),(91,1)}
        24:{2,3,6,7}:{(11,1),(14,1),(41,1),(42,1),(66,1),(77,1),(93,1)}
        25:{3,4,5,7}:{(12,1),(15,1),(39,1),(43,1),(44,1),(45,1),(79,1),(96,1),(104,1)}
        26:{1,4,7}:{(12,1),(13,1),(16,1),(96,1)}
        27:{2,4,7}:{(12,1),(14,1),(17,1),(96,1)}
        28:{1,2,5,7}:{(13,1),(14,1),(18,1),(42,1),(46,1)}
        29:{1,4,5}:{(15,1),(16,1),(36,1),(102,1),(104,1)}
        30:{2,4,5}:{(15,1),(17,1),(33,1),(103,1),(104,1)}
        31:{1,2,4,6}:{(16,1),(17,1),(18,1),(46,1),(47,1),(48,1)}
        32:{2,3,4,7}:{(19,1),(27,1),(49,1),(50,1),(64,1),(90,1)}
        33:{2,3,5}:{(19,1),(30,1),(51,1),(65,1),(101,1)}
        34:{1,2,4,6}:{(19,1),(50,1),(51,1),(52,1),(81,1),(83,1),(98,1)}
        35:{1,3,4,7}:{(20,1),(26,1),(53,1),(54,1),(64,1),(90,1)}
        36:{1,3,5}:{(20,1),(29,1),(55,1),(65,1),(101,1)}
        37:{1,2,4,6}:{(20,1),(54,1),(55,1),(56,1),(84,1),(86,1),(99,1)}
        38:{4,5,6}:{(21,1),(57,1),(100,1)}
        39:{3,5,7}:{(21,1),(22,1),(57,1),(58,1),(59,1),(101,1)}
        40:{1,4,6,7}:{(22,1),(23,1),(26,1),(58,1),(61,1),(98,1)}
        41:{2,4,6,7}:{(22,1),(24,1),(27,1),(59,1),(62,1),(99,1)}
        42:{1,2,6,7}:{(23,1),(24,1),(28,1),(81,1),(84,1)}
        43:{3,4,6}:{(25,1),(57,1),(61,1),(62,1),(89,1),(100,1)}
        44:{1,4,5,7}:{(25,1),(26,1),(29,1),(53,1),(58,1),(61,1)}
        45:{2,4,5,7}:{(25,1),(27,1),(30,1),(49,1),(59,1),(62,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(28,1),(31,1),(64,1)}
        47:{1,2,4,5}:{(29,1),(30,1),(31,1),(51,1),(55,1),(65,1),(83,1),(86,1)}
        48:{3,6}:{(31,1),(64,1),(65,1)}
        49:{2,3,5,7}:{(32,1),(33,1),(45,1),(66,1),(67,1),(79,1)}
        50:{1,2,4,7}:{(32,1),(34,1),(67,1),(68,1),(92,1)}
        51:{1,2,5}:{(33,1),(34,1),(69,1),(102,1)}
        52:{1,3,6}:{(34,1),(48,1),(68,1),(69,1)}
        53:{1,3,5,7}:{(35,1),(36,1),(44,1),(70,1),(71,1),(79,1)}
        54:{1,2,4,7}:{(35,1),(37,1),(71,1),(72,1),(94,1)}
        55:{1,2,5}:{(36,1),(37,1),(73,1),(103,1)}
        56:{2,3,6}:{(37,1),(48,1),(72,1),(73,1)}
        57:{3,5,6}:{(38,1),(39,1),(43,1),(74,1),(75,1)}
        58:{1,5,7}:{(39,1),(40,1),(74,1),(102,1)}
        59:{2,5,7}:{(39,1),(41,1),(75,1),(103,1)}
        60:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(46,1),(76,1),(77,1),(78,1),(96,1)}
        61:{1,4,6}:{(43,1),(44,1),(70,1),(74,1)}
        62:{2,4,6}:{(43,1),(45,1),(66,1),(75,1)}
        63:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(47,1),(67,1),(71,1),(76,1),(78,1),(79,1),(92,1),(94,1),(96,1),(102,1),(103,1),(104,1)}
        64:{3,7}:{(46,1),(48,1)}
        65:{3,5}:{(47,1),(48,1),(80,1)}
        66:{2,3,6}:{(49,1),(62,1),(81,1),(89,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(51,1),(81,1),(82,1)}
        68:{1,3,7}:{(50,1),(52,1),(64,1)}
        69:{1,3,5}:{(51,1),(52,1),(65,1),(83,1)}
        70:{1,3,6}:{(53,1),(61,1),(84,1),(89,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(55,1),(84,1),(85,1)}
        72:{2,3,7}:{(54,1),(56,1),(64,1)}
        73:{2,3,5}:{(55,1),(56,1),(65,1),(86,1)}
        74:{1,5,6}:{(57,1),(58,1),(61,1)}
        75:{2,5,6}:{(57,1),(59,1),(62,1)}
        76:{1,2,5,7}:{(58,1),(59,1),(60,1),(87,1),(88,1)}
        77:{3,6,7}:{(60,1),(64,1),(88,1),(89,1)}
        78:{1,2,4,6}:{(61,1),(62,1),(63,1),(81,1),(84,1),(87,1),(89,1),(98,1),(99,1),(100,1)}
        79:{3,5,7}:{(63,1),(64,1),(65,1),(89,1),(90,1),(101,1)}
        80:{3,4}:{(65,1),(83,1),(86,1)}
        81:{1,2,6}:{(66,1),(67,1),(91,1)}
        82:{1,3,5,7}:{(67,1),(68,1),(69,1),(79,1),(91,1),(92,1),(102,1)}
        83:{1,4}:{(69,1),(80,1)}
        84:{1,2,6}:{(70,1),(71,1),(93,1)}
        85:{2,3,5,7}:{(71,1),(72,1),(73,1),(79,1),(93,1),(94,1),(103,1)}
        86:{2,4}:{(73,1),(80,1)}
        87:{1,2,5,6}:{(74,1),(75,1),(76,1),(78,1),(95,1),(102,1),(103,1)}
        88:{3,5,7}:{(76,1),(77,1),(95,1),(96,1)}
        89:{3,6}:{(78,1),(79,1)}
        90:{3,4,7}:{(79,1),(80,1),(92,1),(94,1),(96,1),(97,1)}
        91:{1,3,6}:{(81,1),(82,1),(89,1),(98,1)}
        92:{1,4,7}:{(82,1),(83,1),(90,1),(98,1)}
        93:{2,3,6}:{(84,1),(85,1),(89,1),(99,1)}
        94:{2,4,7}:{(85,1),(86,1),(90,1),(99,1)}
        95:{3,5,6}:{(87,1),(88,1),(89,1),(100,1),(101,1)}
        96:{4,7}:{(88,1),(100,1)}
        97:{3,4,6}:{(89,1),(90,1),(98,1),(99,1),(100,1),(101,1)}
        98:{1,4,6}:{(91,1),(92,1),(97,1),(102,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(103,1)}
       100:{4,6}:{(95,1),(96,1),(104,1)}
       101:{3,5}:{(97,1),(102,1),(103,1),(104,1)}
       102:{1,5}:{(98,1),(101,1)}
       103:{2,5}:{(99,1),(101,1)}
       104:{4,5}:{(100,1),(101,1)}

1123 :   0:{1,2,5,6,7}:{(1,1),(2,1),(33,1),(34,1),(65,1)}
         1:{3,5,6,7}:{(0,1),(5,1),(6,1),(20,1),(80,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(21,1),(22,1),(23,1),(78,1)}
         3:{1,2,4,5,6}:{(4,1),(7,1),(19,1),(25,1),(26,1),(27,1),(47,1),(48,1),(55,1),(78,1),(99,1),(103,1),(104,1)}
         4:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(29,1),(30,1),(31,1),(33,1),(34,1)}
         5:{4,6,7}:{(1,1),(9,1),(91,1)}
         6:{3,6,7}:{(2,1),(8,1),(89,1)}
         7:{3,5,6}:{(3,1),(8,1),(13,1),(71,1),(89,1),(102,1)}
         8:{3,5,7}:{(4,1),(6,1),(7,1),(16,1)}
         9:{4,5,7}:{(5,1),(19,1),(20,1),(81,1),(99,1)}
        10:{3,4,6,7}:{(5,1),(6,1),(16,1),(20,1),(21,1),(22,1),(43,1),(50,1),(81,1),(98,1)}
        11:{1,3,6,7}:{(6,1),(17,1),(21,1),(23,1),(50,1),(75,1),(94,1)}
        12:{2,3,6,7}:{(6,1),(18,1),(22,1),(23,1),(50,1),(72,1),(96,1)}
        13:{3,4,6}:{(7,1),(16,1),(24,1),(25,1),(26,1),(56,1),(84,1)}
        14:{1,3,5,6}:{(7,1),(17,1),(25,1),(27,1),(47,1),(53,1),(56,1),(75,1),(80,1),(82,1),(94,1),(103,1)}
        15:{2,3,5,6}:{(7,1),(18,1),(26,1),(27,1),(48,1),(51,1),(56,1),(72,1),(80,1),(83,1),(96,1),(104,1)}
        16:{3,4,7}:{(8,1),(13,1),(29,1),(30,1),(64,1)}
        17:{1,3,5,7}:{(8,1),(11,1),(14,1),(29,1),(31,1),(33,1),(64,1),(66,1)}
        18:{2,3,5,7}:{(8,1),(12,1),(15,1),(30,1),(31,1),(34,1),(64,1),(66,1)}
        19:{4,5,6}:{(9,1),(32,1),(91,1)}
        20:{3,5,7}:{(9,1),(10,1),(32,1),(33,1),(34,1),(102,1)}
        21:{1,4,6,7}:{(10,1),(11,1),(29,1),(33,1),(61,1),(100,1)}
        22:{2,4,6,7}:{(10,1),(12,1),(30,1),(34,1),(62,1),(101,1)}
        23:{1,2,6,7}:{(11,1),(12,1),(31,1),(85,1),(87,1)}
        24:{3,4,5}:{(13,1),(38,1),(39,1),(71,1),(102,1)}
        25:{1,4,6}:{(13,1),(14,1),(29,1),(38,1),(91,1),(92,1)}
        26:{2,4,6}:{(13,1),(15,1),(30,1),(39,1),(91,1),(93,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(31,1),(40,1),(67,1),(69,1),(85,1),(87,1)}
        28:{3,4,5,7}:{(16,1),(20,1),(24,1),(43,1),(44,1),(45,1),(79,1),(81,1),(99,1)}
        29:{1,4,7}:{(16,1),(17,1),(25,1),(81,1)}
        30:{2,4,7}:{(16,1),(18,1),(26,1),(81,1)}
        31:{1,2,5,7}:{(17,1),(18,1),(23,1),(27,1),(46,1)}
        32:{3,5,6}:{(19,1),(20,1),(43,1),(47,1),(48,1)}
        33:{1,5,7}:{(20,1),(21,1),(47,1),(103,1)}
        34:{2,5,7}:{(20,1),(22,1),(48,1),(104,1)}
        35:{1,2,4,6,7}:{(21,1),(22,1),(23,1),(46,1),(49,1),(50,1),(78,1),(81,1)}
        36:{2,3,4,6}:{(26,1),(41,1),(51,1),(52,1),(56,1),(72,1),(84,1),(98,1)}
        37:{1,3,4,6}:{(25,1),(42,1),(53,1),(54,1),(56,1),(75,1),(84,1),(98,1)}
        38:{1,4,5}:{(24,1),(25,1),(53,1),(99,1),(103,1)}
        39:{2,4,5}:{(24,1),(26,1),(51,1),(99,1),(104,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(46,1),(55,1),(56,1)}
        41:{2,3,4,7}:{(30,1),(36,1),(57,1),(58,1),(64,1),(90,1)}
        42:{1,3,4,7}:{(29,1),(37,1),(59,1),(60,1),(64,1),(90,1)}
        43:{3,4,6}:{(28,1),(32,1),(61,1),(62,1),(89,1),(91,1)}
        44:{1,4,5,7}:{(28,1),(29,1),(33,1),(38,1),(59,1),(61,1)}
        45:{2,4,5,7}:{(28,1),(30,1),(34,1),(39,1),(57,1),(62,1)}
        46:{1,2,4,7}:{(29,1),(30,1),(31,1),(40,1),(64,1)}
        47:{1,5,6}:{(32,1),(33,1),(61,1)}
        48:{2,5,6}:{(32,1),(34,1),(62,1)}
        49:{1,2,5,7}:{(33,1),(34,1),(35,1),(65,1),(66,1)}
        50:{3,6,7}:{(35,1),(64,1),(66,1),(89,1)}
        51:{2,3,5}:{(36,1),(39,1),(67,1),(71,1),(102,1)}
        52:{1,2,4,6}:{(36,1),(58,1),(67,1),(68,1),(85,1),(92,1),(100,1)}
        53:{1,3,5}:{(37,1),(38,1),(69,1),(71,1),(102,1)}
        54:{1,2,4,6}:{(37,1),(60,1),(69,1),(70,1),(87,1),(93,1),(101,1)}
        55:{1,2,4,5}:{(38,1),(39,1),(40,1),(67,1),(69,1),(71,1),(92,1),(93,1)}
        56:{3,6}:{(40,1),(64,1),(71,1)}
        57:{2,3,5,7}:{(41,1),(45,1),(51,1),(72,1),(73,1),(79,1)}
        58:{1,2,4,7}:{(41,1),(52,1),(73,1),(74,1),(95,1)}
        59:{1,3,5,7}:{(42,1),(44,1),(53,1),(75,1),(76,1),(79,1)}
        60:{1,2,4,7}:{(42,1),(54,1),(76,1),(77,1),(97,1)}
        61:{1,4,6}:{(43,1),(44,1),(47,1),(75,1)}
        62:{2,4,6}:{(43,1),(45,1),(48,1),(72,1)}
        63:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(49,1),(55,1),(73,1),(76,1),(78,1),(79,1),(81,1),(95,1),(97,1),(99,1),(103,1),(104,1)}
        64:{3,7}:{(46,1),(56,1)}
        65:{1,2,5,6}:{(47,1),(48,1),(49,1),(78,1),(80,1),(103,1),(104,1)}
        66:{3,5,7}:{(49,1),(50,1),(80,1),(81,1)}
        67:{1,2,5}:{(51,1),(52,1),(82,1),(103,1)}
        68:{1,3,6}:{(52,1),(56,1),(74,1),(82,1)}
        69:{1,2,5}:{(53,1),(54,1),(83,1),(104,1)}
        70:{2,3,6}:{(54,1),(56,1),(77,1),(83,1)}
        71:{3,5}:{(55,1),(56,1),(84,1)}
        72:{2,3,6}:{(57,1),(62,1),(85,1),(89,1)}
        73:{1,2,5,7}:{(57,1),(58,1),(67,1),(85,1),(86,1)}
        74:{1,3,7}:{(58,1),(64,1),(68,1)}
        75:{1,3,6}:{(59,1),(61,1),(87,1),(89,1)}
        76:{1,2,5,7}:{(59,1),(60,1),(69,1),(87,1),(88,1)}
        77:{2,3,7}:{(60,1),(64,1),(70,1)}
        78:{1,2,4,6}:{(61,1),(62,1),(63,1),(65,1),(85,1),(87,1),(89,1),(91,1),(100,1),(101,1)}
        79:{3,5,7}:{(63,1),(64,1),(71,1),(89,1),(90,1),(102,1)}
        80:{3,5,6}:{(65,1),(66,1),(89,1),(91,1),(102,1)}
        81:{4,7}:{(66,1),(91,1)}
        82:{1,3,5}:{(67,1),(68,1),(71,1),(92,1)}
        83:{2,3,5}:{(69,1),(70,1),(71,1),(93,1)}
        84:{3,4}:{(71,1),(92,1),(93,1)}
        85:{1,2,6}:{(72,1),(73,1),(94,1)}
        86:{1,3,5,7}:{(73,1),(74,1),(79,1),(82,1),(94,1),(95,1),(103,1)}
        87:{1,2,6}:{(75,1),(76,1),(96,1)}
        88:{2,3,5,7}:{(76,1),(77,1),(79,1),(83,1),(96,1),(97,1),(104,1)}
        89:{3,6}:{(78,1),(79,1)}
        90:{3,4,7}:{(79,1),(81,1),(84,1),(95,1),(97,1),(98,1)}
        91:{4,6}:{(80,1),(81,1),(99,1)}
        92:{1,4}:{(82,1),(84,1)}
        93:{2,4}:{(83,1),(84,1)}
        94:{1,3,6}:{(85,1),(86,1),(89,1),(100,1)}
        95:{1,4,7}:{(86,1),(90,1),(92,1),(100,1)}
        96:{2,3,6}:{(87,1),(88,1),(89,1),(101,1)}
        97:{2,4,7}:{(88,1),(90,1),(93,1),(101,1)}
        98:{3,4,6}:{(89,1),(90,1),(91,1),(100,1),(101,1),(102,1)}
        99:{4,5}:{(91,1),(102,1)}
       100:{1,4,6}:{(94,1),(95,1),(98,1),(103,1)}
       101:{2,4,6}:{(96,1),(97,1),(98,1),(104,1)}
       102:{3,5}:{(98,1),(99,1),(103,1),(104,1)}
       103:{1,5}:{(100,1),(102,1)}
       104:{2,5}:{(101,1),(102,1)}

1124 :   0:{2,3,4,6,7}:{(1,1),(2,1),(9,1),(25,1),(29,1),(31,1),(53,1),(59,1),(80,1),(86,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(38,1),(69,1),(96,1),(102,1)}
         2:{2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(75,1),(101,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(9,1),(27,1),(29,1)}
         4:{1,3,6,7}:{(1,1),(10,1),(29,1),(111,1),(115,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(114,1)}
         6:{2,4,5,7}:{(2,1),(9,1),(12,1),(80,1),(88,1)}
         7:{2,3,5,6,7}:{(3,1),(13,1),(14,1),(35,1),(37,1),(64,1),(123,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(40,1),(75,1)}
         9:{2,4,6}:{(3,1),(6,1),(18,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(125,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(46,1),(47,1),(75,1),(96,1),(103,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(49,1),(81,1),(84,1),(112,1)}
        14:{2,4,6,7}:{(7,1),(9,1),(22,1),(25,1),(80,1),(131,1)}
        15:{2,4,5,6}:{(9,1),(22,1),(27,1)}
        16:{1,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(59,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(27,1),(29,1),(30,1)}
        19:{1,4,7}:{(10,1),(28,1),(31,1),(132,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(111,1),(116,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(32,1),(49,1),(79,1),(87,1)}
        22:{2,4,5,7}:{(14,1),(15,1),(35,1),(136,1)}
        23:{1,3,5,6,7}:{(13,1),(16,1),(36,1),(37,1),(63,1),(66,1),(97,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(36,1),(37,1),(38,1),(68,1),(69,1),(96,1),(121,1)}
        25:{3,4,6,7}:{(14,1),(18,1),(35,1),(37,1),(38,1),(62,1),(135,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(39,1),(40,1),(41,1),(65,1),(71,1),(72,1),(73,1),(75,1),(98,1),(103,1),(121,1),(136,1),(139,1)}
        27:{3,5,6}:{(15,1),(18,1),(35,1),(40,1)}
        28:{1,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{1,4,6}:{(18,1),(21,1),(40,1),(43,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(46,1),(126,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(47,1),(74,1)}
        33:{2,3,5,7}:{(20,1),(44,1),(46,1),(47,1),(75,1),(77,1),(105,1)}
        34:{1,2,4,5,7}:{(22,1),(24,1),(26,1),(48,1),(49,1),(50,1),(79,1),(80,1),(81,1),(84,1)}
        35:{3,5,7}:{(22,1),(25,1),(27,1),(49,1),(138,1)}
        36:{1,4,6,7}:{(23,1),(28,1),(50,1),(51,1),(79,1),(108,1)}
        37:{3,6,7}:{(24,1),(29,1),(48,1),(111,1),(129,1)}
        38:{1,4,6,7}:{(25,1),(30,1),(49,1),(52,1),(79,1),(137,1)}
        39:{3,5,6}:{(26,1),(29,1),(48,1),(54,1),(57,1),(116,1),(129,1),(138,1)}
        40:{1,5,6}:{(27,1),(30,1),(49,1)}
        41:{1,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(59,1)}
        43:{1,3,6}:{(29,1),(30,1),(32,1),(60,1)}
        44:{2,3,6}:{(29,1),(33,1),(59,1),(60,1)}
        45:{1,3,4,7}:{(31,1),(32,1),(58,1),(61,1),(79,1),(111,1)}
        46:{2,4,7}:{(31,1),(33,1),(59,1),(117,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(37,1),(39,1),(62,1)}
        49:{1,5,7}:{(35,1),(38,1),(40,1),(139,1)}
        50:{1,4,5,7}:{(36,1),(41,1),(65,1),(66,1)}
        51:{3,4,6,7}:{(36,1),(37,1),(42,1),(62,1),(66,1),(68,1),(93,1)}
        52:{1,3,6,7}:{(37,1),(38,1),(43,1),(63,1),(69,1),(133,1)}
        53:{2,3,6,7}:{(37,1),(44,1),(64,1),(68,1),(69,1),(118,1)}
        54:{3,4,6}:{(39,1),(62,1),(70,1),(71,1),(72,1),(104,1),(126,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(63,1),(71,1),(73,1),(74,1),(104,1),(125,1),(133,1),(139,1)}
        56:{2,3,5,6}:{(39,1),(44,1),(64,1),(72,1),(73,1),(75,1),(98,1),(101,1),(104,1),(105,1),(118,1)}
        57:{3,5}:{(41,1),(42,1),(75,1)}
        58:{1,3,4,6}:{(42,1),(43,1),(45,1),(71,1),(74,1),(76,1),(104,1),(126,1)}
        59:{2,4,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(54,1),(79,1),(80,1),(111,1)}
        63:{1,3,5,7}:{(48,1),(49,1),(52,1),(55,1),(79,1),(81,1),(111,1)}
        64:{2,3,5,7}:{(48,1),(53,1),(56,1),(80,1),(81,1),(84,1),(111,1)}
        65:{1,4,5,6}:{(50,1),(82,1),(108,1)}
        66:{3,5,7}:{(50,1),(51,1),(57,1),(82,1),(84,1)}
        67:{1,3,4,6,7}:{(51,1),(52,1),(58,1),(79,1),(83,1),(85,1),(108,1),(111,1),(129,1),(130,1),(137,1)}
        68:{2,4,6,7}:{(51,1),(53,1),(59,1),(80,1),(84,1),(109,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(60,1),(81,1),(127,1)}
        70:{3,4,5}:{(54,1),(57,1),(87,1),(88,1),(116,1),(138,1)}
        71:{1,4,6}:{(54,1),(55,1),(79,1),(87,1),(132,1)}
        72:{2,4,6}:{(54,1),(56,1),(80,1),(88,1),(117,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(60,1),(81,1),(89,1),(90,1),(114,1),(127,1)}
        74:{1,3,5}:{(57,1),(58,1),(87,1),(90,1),(116,1)}
        75:{2,5}:{(57,1),(59,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{2,3,7}:{(61,1),(91,1),(111,1)}
        78:{3,4,5,7}:{(62,1),(66,1),(70,1),(93,1),(94,1),(95,1),(122,1)}
        79:{1,4,7}:{(62,1),(63,1),(71,1)}
        80:{2,4,7}:{(62,1),(64,1),(72,1)}
        81:{1,2,5,7}:{(63,1),(64,1),(69,1),(73,1),(96,1)}
        82:{3,5,6}:{(65,1),(66,1),(93,1),(98,1)}
        83:{1,3,5,7}:{(66,1),(67,1),(74,1),(94,1),(97,1),(99,1),(122,1),(139,1)}
        84:{2,5,7}:{(66,1),(68,1),(75,1),(98,1)}
        85:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(96,1),(99,1),(100,1),(121,1),(124,1)}
        86:{2,3,4,6}:{(72,1),(92,1),(101,1),(102,1),(104,1),(118,1),(126,1),(135,1)}
        87:{1,4,5}:{(70,1),(71,1),(74,1),(139,1)}
        88:{2,4,5}:{(70,1),(72,1),(75,1),(101,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(73,1),(96,1),(103,1),(104,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{2,3,6}:{(76,1),(77,1),(104,1),(105,1)}
        92:{2,3,4,7}:{(80,1),(86,1),(106,1),(107,1),(111,1),(130,1)}
        93:{3,4,6}:{(78,1),(82,1),(108,1),(109,1),(129,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(108,1)}
        95:{2,4,5,7}:{(78,1),(80,1),(84,1),(88,1),(106,1),(109,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(89,1),(111,1)}
        97:{1,3,5,6}:{(82,1),(83,1),(108,1),(112,1),(129,1)}
        98:{2,5,6}:{(82,1),(84,1),(109,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(85,1),(90,1),(112,1),(113,1)}
       100:{2,3,6,7}:{(85,1),(91,1),(111,1),(113,1),(129,1)}
       101:{2,3,5}:{(86,1),(88,1),(114,1),(116,1),(138,1)}
       102:{1,2,4,6}:{(86,1),(107,1),(114,1),(115,1),(127,1),(132,1),(137,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(89,1),(90,1),(114,1),(116,1),(117,1),(132,1)}
       104:{3,6}:{(89,1),(111,1),(116,1)}
       105:{2,3,5}:{(90,1),(91,1),(116,1),(117,1)}
       106:{2,3,5,7}:{(92,1),(95,1),(101,1),(118,1),(119,1),(122,1)}
       107:{1,2,4,7}:{(92,1),(102,1),(119,1),(120,1),(134,1)}
       108:{1,4,6}:{(93,1),(94,1),(97,1)}
       109:{2,4,6}:{(93,1),(95,1),(98,1),(118,1)}
       110:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(103,1),(119,1),(121,1),(122,1),(124,1),(134,1),(136,1),(139,1)}
       111:{3,7}:{(96,1),(104,1)}
       112:{1,2,5,6}:{(97,1),(98,1),(99,1),(121,1),(123,1),(139,1)}
       113:{2,3,5,7}:{(99,1),(100,1),(105,1),(122,1),(123,1),(124,1)}
       114:{1,2,5}:{(101,1),(102,1),(125,1),(139,1)}
       115:{1,3,6}:{(102,1),(104,1),(120,1),(125,1)}
       116:{3,5}:{(103,1),(104,1),(126,1)}
       117:{2,4}:{(105,1),(126,1)}
       118:{2,3,6}:{(106,1),(109,1),(127,1),(129,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(114,1),(127,1),(128,1)}
       120:{1,3,7}:{(107,1),(111,1),(115,1)}
       121:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1),(131,1),(137,1)}
       122:{3,5,7}:{(110,1),(111,1),(116,1),(129,1),(130,1),(138,1)}
       123:{2,3,5,6}:{(112,1),(113,1),(129,1),(131,1),(138,1)}
       124:{2,4,7}:{(113,1),(117,1),(130,1),(131,1)}
       125:{1,3,5}:{(114,1),(115,1),(116,1),(132,1)}
       126:{3,4}:{(116,1),(117,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{1,3,5,7}:{(119,1),(120,1),(122,1),(125,1),(133,1),(134,1),(139,1)}
       129:{3,6}:{(121,1),(122,1)}
       130:{3,4,7}:{(122,1),(124,1),(126,1),(134,1),(135,1)}
       131:{2,4,6}:{(123,1),(124,1),(135,1),(136,1)}
       132:{1,4}:{(125,1),(126,1)}
       133:{1,3,6}:{(127,1),(128,1),(129,1),(137,1)}
       134:{1,4,7}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,4,6}:{(129,1),(130,1),(131,1),(137,1),(138,1)}
       136:{2,4,5}:{(131,1),(138,1)}
       137:{1,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

1125 :   0:{1,2,3,6,7}:{(2,1),(3,1),(37,1),(71,1),(72,1),(76,1),(80,1),(104,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(37,1),(42,1),(45,1),(72,1),(96,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(6,1),(8,1),(22,1),(61,1),(64,1),(83,1),(88,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(23,1),(57,1),(62,1),(86,1),(87,1),(93,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(9,1),(10,1),(23,1),(60,1),(63,1)}
         5:{1,3,4,6,7}:{(2,1),(11,1),(15,1),(33,1),(37,1),(41,1),(67,1),(71,1),(95,1),(104,1)}
         6:{1,2,5,7}:{(2,1),(4,1),(11,1),(12,1),(79,1),(81,1),(94,1)}
         7:{1,2,3,5,6}:{(3,1),(12,1),(14,1),(37,1),(40,1),(74,1),(75,1),(76,1),(79,1),(80,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(95,1),(96,1),(100,1)}
         9:{2,3,5,6}:{(4,1),(12,1),(17,1),(37,1),(46,1)}
        10:{2,4,5,7}:{(4,1),(17,1),(18,1),(78,1),(96,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(19,1),(20,1),(23,1),(59,1),(82,1)}
        12:{1,2,5,6}:{(6,1),(9,1),(19,1),(22,1),(65,1),(84,1)}
        13:{1,2,4,5,7}:{(6,1),(8,1),(10,1),(20,1),(22,1),(23,1),(24,1),(31,1),(51,1),(57,1),(92,1),(101,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(89,1),(90,1)}
        15:{3,4,7}:{(8,1),(23,1),(25,1),(103,1)}
        16:{2,3,5,6,7}:{(9,1),(21,1),(28,1),(53,1),(63,1),(87,1)}
        17:{2,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(23,1),(30,1),(31,1),(58,1),(63,1),(85,1)}
        19:{1,3,5,6}:{(11,1),(12,1),(33,1),(37,1),(68,1)}
        20:{1,4,5,7}:{(11,1),(33,1),(34,1),(77,1),(95,1)}
        21:{1,2,5,6,7}:{(12,1),(16,1),(32,1),(35,1),(81,1),(94,1),(97,1)}
        22:{1,2,4,6}:{(12,1),(13,1),(17,1),(33,1),(37,1),(47,1),(69,1),(76,1)}
        23:{3,5,7}:{(13,1),(15,1),(37,1),(40,1),(99,1),(104,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(77,1),(78,1),(79,1)}
        25:{3,4,6}:{(14,1),(15,1),(37,1),(40,1)}
        26:{1,3,4,7}:{(15,1),(38,1),(41,1),(43,1),(95,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(39,1),(42,1),(43,1),(96,1),(104,1)}
        28:{2,4,6,7}:{(16,1),(17,1),(44,1),(45,1),(96,1)}
        29:{2,4,5,6}:{(17,1),(44,1),(46,1)}
        30:{3,4,6}:{(17,1),(18,1),(37,1),(46,1),(47,1)}
        31:{1,4,5,7}:{(18,1),(38,1),(47,1),(77,1),(81,1),(95,1)}
        32:{1,3,5,6,7}:{(19,1),(21,1),(48,1),(53,1),(82,1),(86,1)}
        33:{1,4,6}:{(19,1),(20,1),(50,1)}
        34:{3,4,5,7}:{(20,1),(23,1),(50,1),(51,1),(58,1),(82,1),(85,1)}
        35:{1,2,4,6,7}:{(21,1),(22,1),(28,1),(48,1),(52,1),(53,1),(64,1),(83,1),(88,1),(101,1)}
        36:{1,2,4,5,6}:{(22,1),(24,1),(29,1),(49,1),(52,1),(54,1),(65,1),(84,1),(89,1),(90,1),(91,1)}
        37:{3,6}:{(22,1),(23,1)}
        38:{1,3,5,7}:{(23,1),(26,1),(31,1),(55,1),(57,1),(59,1)}
        39:{2,3,5,7}:{(23,1),(27,1),(51,1),(56,1),(57,1),(60,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(55,1),(59,1),(61,1),(89,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(27,1),(56,1),(60,1),(61,1),(90,1),(102,1),(103,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(57,1),(61,1),(62,1)}
        44:{2,4,5,7}:{(28,1),(29,1),(63,1)}
        45:{3,4,6,7}:{(28,1),(30,1),(53,1),(63,1),(64,1),(85,1)}
        46:{3,5,6}:{(29,1),(30,1),(63,1),(65,1)}
        47:{1,4,6}:{(30,1),(31,1),(55,1),(65,1)}
        48:{1,4,6,7}:{(32,1),(33,1),(66,1),(67,1),(95,1)}
        49:{1,4,5,6}:{(33,1),(66,1),(68,1)}
        50:{3,4,6}:{(33,1),(34,1),(37,1),(68,1),(69,1)}
        51:{2,4,5,7}:{(34,1),(39,1),(69,1),(78,1),(94,1),(96,1)}
        52:{1,2,4,5,7}:{(35,1),(36,1),(44,1),(66,1),(70,1),(81,1),(94,1),(95,1),(96,1),(97,1)}
        53:{3,6,7}:{(35,1),(37,1),(70,1),(104,1)}
        54:{3,5,6}:{(36,1),(37,1),(40,1),(70,1),(73,1)}
        55:{1,3,6}:{(37,1),(38,1),(47,1),(76,1)}
        56:{2,3,6}:{(37,1),(39,1),(69,1),(76,1)}
        57:{1,2,5,7}:{(38,1),(39,1),(43,1),(76,1),(79,1)}
        58:{3,4,5}:{(40,1),(73,1),(77,1),(78,1),(99,1)}
        59:{1,3,5}:{(40,1),(41,1),(77,1),(79,1),(99,1)}
        60:{2,3,5}:{(40,1),(42,1),(78,1),(79,1),(99,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(43,1),(76,1),(79,1),(80,1),(100,1)}
        62:{1,2,3,7}:{(43,1),(80,1),(104,1)}
        63:{3,5,7}:{(44,1),(45,1),(46,1),(81,1)}
        64:{1,4,6,7}:{(45,1),(47,1),(71,1),(81,1),(95,1)}
        65:{1,5,6}:{(46,1),(47,1),(81,1)}
        66:{1,4,5,7}:{(48,1),(49,1),(82,1)}
        67:{3,4,6,7}:{(48,1),(50,1),(53,1),(82,1),(83,1),(85,1)}
        68:{3,5,6}:{(49,1),(50,1),(82,1),(84,1)}
        69:{2,4,6}:{(50,1),(51,1),(56,1),(84,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{1,3,6,7}:{(53,1),(55,1),(64,1),(86,1),(88,1)}
        72:{2,3,6,7}:{(53,1),(56,1),(83,1),(87,1),(88,1)}
        73:{3,4,6}:{(54,1),(58,1),(85,1),(89,1),(90,1),(102,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(59,1),(65,1),(86,1),(89,1),(91,1),(102,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(60,1),(84,1),(87,1),(90,1),(91,1),(102,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{1,4,5}:{(58,1),(59,1),(89,1)}
        78:{2,4,5}:{(58,1),(60,1),(90,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(62,1),(93,1),(102,1)}
        81:{1,5,7}:{(63,1),(64,1),(65,1)}
        82:{3,5,7}:{(66,1),(67,1),(68,1),(94,1)}
        83:{2,4,6,7}:{(67,1),(69,1),(72,1),(94,1),(96,1)}
        84:{2,5,6}:{(68,1),(69,1),(94,1)}
        85:{3,4,7}:{(70,1),(73,1),(95,1),(96,1),(104,1)}
        86:{1,3,5,7}:{(70,1),(71,1),(74,1),(81,1),(95,1),(97,1),(104,1)}
        87:{2,3,5,7}:{(70,1),(72,1),(75,1),(94,1),(96,1),(97,1),(104,1)}
        88:{1,2,6,7}:{(71,1),(72,1),(76,1),(97,1)}
        89:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        90:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        91:{1,2,5,6}:{(74,1),(75,1),(76,1),(79,1),(97,1),(98,1)}
        92:{1,2,4,5}:{(77,1),(78,1),(79,1),(98,1),(99,1),(100,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(99,1),(100,1)}
        94:{2,5,7}:{(82,1),(83,1),(84,1)}
        95:{1,4,7}:{(85,1),(86,1),(89,1)}
        96:{2,4,7}:{(85,1),(87,1),(90,1)}
        97:{1,2,5,7}:{(86,1),(87,1),(88,1),(91,1),(101,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(92,1),(101,1),(102,1)}
        99:{3,5}:{(92,1),(102,1),(103,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       102:{3,6}:{(98,1),(99,1),(104,1)}
       103:{3,4}:{(99,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1126 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(63,1),(117,1)}
         1:{2,3,4,6}:{(4,1),(5,1),(6,1),(17,1),(25,1),(26,1),(61,1),(63,1)}
         2:{1,2,3,5}:{(0,1),(9,1),(11,1),(32,1),(36,1),(86,1)}
         3:{1,2,3,7}:{(0,1),(10,1),(95,1),(145,1),(185,1)}
         4:{1,2,4,6}:{(0,1),(1,1),(7,1),(9,1),(10,1),(11,1),(40,1)}
         5:{2,3,4,7}:{(1,1),(10,1),(13,1),(35,1),(46,1),(95,1),(186,1)}
         6:{2,3,5}:{(1,1),(11,1),(12,1),(36,1),(93,1)}
         7:{1,3,4,6}:{(4,1),(15,1),(16,1),(17,1),(52,1),(53,1),(61,1),(63,1)}
         8:{1,2,3,5,7}:{(2,1),(3,1),(18,1),(19,1),(21,1),(55,1),(62,1),(64,1),(114,1),(116,1)}
         9:{1,2,4}:{(2,1),(17,1)}
        10:{1,2,4,7}:{(3,1),(4,1),(5,1),(15,1),(21,1),(204,1)}
        11:{1,2,5}:{(4,1),(6,1),(16,1)}
        12:{2,4,5}:{(6,1),(23,1),(25,1),(124,1)}
        13:{2,3,5,7}:{(5,1),(6,1),(21,1),(24,1),(26,1),(62,1),(205,1),(227,1)}
        14:{2,3,5,6}:{(6,1),(22,1),(25,1),(26,1),(27,1),(48,1),(63,1),(72,1),(125,1)}
        15:{1,3,4,7}:{(7,1),(10,1),(30,1),(35,1),(82,1),(95,1),(187,1)}
        16:{1,3,5}:{(7,1),(11,1),(29,1),(36,1),(93,1)}
        17:{3,4}:{(9,1),(36,1)}
        18:{1,2,3,6}:{(8,1),(37,1),(40,1),(94,1),(144,1)}
        19:{1,2,4,7}:{(8,1),(9,1),(35,1),(37,1),(142,1)}
        20:{1,2,4,5}:{(9,1),(11,1),(12,1),(29,1),(36,1),(39,1),(42,1),(78,1),(86,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(13,1),(30,1),(40,1),(218,1),(230,1)}
        22:{1,2,5,6}:{(11,1),(14,1),(31,1),(39,1),(40,1),(41,1),(74,1),(134,1)}
        23:{3,4,5}:{(12,1),(36,1),(42,1),(44,1)}
        24:{2,4,5,7}:{(12,1),(13,1),(43,1),(45,1),(46,1),(102,1),(194,1),(223,1)}
        25:{2,4,6}:{(12,1),(14,1),(44,1),(46,1),(152,1)}
        26:{2,3,6}:{(13,1),(40,1),(45,1),(94,1)}
        27:{2,3,5,7}:{(14,1),(41,1),(46,1),(47,1),(75,1),(95,1),(102,1),(153,1)}
        28:{2,4,5,6}:{(25,1),(48,1),(49,1),(72,1),(130,1)}
        29:{1,4,5}:{(16,1),(50,1),(52,1),(124,1)}
        30:{1,3,5,7}:{(15,1),(16,1),(21,1),(51,1),(53,1),(62,1),(206,1),(228,1)}
        31:{1,3,5,6}:{(16,1),(22,1),(52,1),(53,1),(54,1),(63,1),(106,1),(112,1),(125,1)}
        32:{1,2,3}:{(56,1)}
        33:{2,3,4}:{(17,1),(56,1),(58,1)}
        34:{1,3,4}:{(17,1),(56,1),(60,1)}
        35:{3,4,7}:{(17,1),(19,1),(61,1),(62,1),(166,1),(176,1)}
        36:{3,5}:{(17,1),(20,1),(63,1)}
        37:{1,2,4,6}:{(18,1),(19,1),(61,1),(64,1)}
        38:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(24,1),(51,1),(62,1),(64,1),(65,1),(66,1),(68,1),(108,1),(116,1),(124,1),(127,1),(167,1),(176,1),(208,1)}
        39:{1,2,4,6}:{(20,1),(22,1),(25,1),(52,1),(63,1),(66,1),(69,1),(109,1),(117,1)}
        40:{1,2,6}:{(21,1),(26,1),(53,1)}
        41:{1,2,5,7}:{(22,1),(27,1),(54,1),(66,1),(67,1),(103,1),(159,1)}
        42:{1,4,5}:{(23,1),(60,1),(69,1)}
        43:{3,4,5,7}:{(23,1),(24,1),(62,1),(68,1),(70,1),(71,1),(124,1),(131,1),(173,1),(176,1),(212,1)}
        44:{3,4,6}:{(23,1),(25,1),(48,1),(63,1),(69,1),(71,1)}
        45:{2,4,6}:{(24,1),(26,1),(70,1),(72,1)}
        46:{2,4,7}:{(25,1),(27,1),(71,1),(176,1)}
        47:{2,3,6,7}:{(26,1),(27,1),(67,1),(73,1),(104,1),(126,1),(227,1)}
        48:{3,5,6}:{(28,1),(44,1),(74,1),(75,1)}
        49:{2,4,5,7}:{(28,1),(46,1),(75,1),(76,1),(102,1),(156,1)}
        50:{3,4,5}:{(29,1),(36,1),(78,1),(80,1)}
        51:{1,4,5,7}:{(29,1),(30,1),(79,1),(81,1),(82,1),(141,1),(191,1),(222,1)}
        52:{1,4,6}:{(29,1),(31,1),(80,1),(82,1),(152,1)}
        53:{1,3,6}:{(30,1),(40,1),(81,1),(94,1)}
        54:{1,3,5,7}:{(31,1),(41,1),(82,1),(83,1),(95,1),(135,1),(141,1),(153,1)}
        55:{1,2,3,7}:{(32,1),(84,1),(85,1),(221,1),(230,1)}
        56:{1,2,4}:{(32,1),(33,1),(34,1),(86,1)}
        57:{2,3,4,7}:{(33,1),(35,1),(85,1),(87,1),(88,1),(193,1),(221,1)}
        58:{2,3,5}:{(33,1),(36,1),(78,1),(86,1),(89,1)}
        59:{1,3,4,7}:{(34,1),(35,1),(85,1),(90,1),(91,1),(196,1),(221,1)}
        60:{1,3,5}:{(34,1),(36,1),(42,1),(86,1),(92,1)}
        61:{3,4,6}:{(35,1),(37,1),(93,1),(94,1),(152,1)}
        62:{3,5,7}:{(35,1),(36,1),(38,1),(93,1),(94,1),(95,1),(188,1),(221,1)}
        63:{3,6}:{(36,1),(39,1),(95,1)}
        64:{1,2,5}:{(37,1),(93,1)}
        65:{1,2,4,6}:{(38,1),(40,1),(45,1),(81,1),(94,1),(96,1),(98,1),(137,1),(144,1),(152,1)}
        66:{1,2,4,7}:{(39,1),(41,1),(46,1),(82,1),(95,1),(99,1),(138,1),(145,1)}
        67:{1,2,6,7}:{(40,1),(41,1),(47,1),(83,1),(132,1),(180,1),(230,1)}
        68:{1,4,5,7}:{(42,1),(43,1),(91,1),(98,1),(99,1),(149,1),(155,1),(196,1)}
        69:{1,4,6}:{(42,1),(44,1),(74,1),(92,1),(99,1)}
        70:{3,4,6}:{(43,1),(45,1),(94,1),(98,1),(100,1),(152,1)}
        71:{3,4,7}:{(44,1),(46,1),(75,1),(95,1),(99,1)}
        72:{2,5,6}:{(45,1),(100,1),(102,1)}
        73:{2,4,6,7}:{(45,1),(46,1),(47,1),(101,1),(102,1),(214,1),(223,1)}
        74:{1,5,6}:{(48,1),(69,1),(103,1)}
        75:{3,5,7}:{(48,1),(49,1),(71,1),(103,1),(104,1)}
        76:{2,4,6,7}:{(49,1),(104,1),(105,1),(158,1)}
        77:{1,4,5,6}:{(52,1),(106,1),(107,1),(112,1),(164,1)}
        78:{2,4,5}:{(50,1),(58,1),(109,1)}
        79:{3,4,5,7}:{(50,1),(51,1),(62,1),(108,1),(110,1),(111,1),(124,1),(165,1),(170,1),(176,1),(210,1)}
        80:{3,4,6}:{(50,1),(52,1),(63,1),(106,1),(109,1),(111,1)}
        81:{1,4,6}:{(51,1),(53,1),(110,1),(112,1)}
        82:{1,4,7}:{(52,1),(54,1),(111,1),(176,1)}
        83:{1,3,6,7}:{(53,1),(54,1),(67,1),(113,1),(126,1),(160,1),(228,1)}
        84:{1,2,3,6}:{(55,1),(114,1),(115,1),(207,1),(226,1)}
        85:{1,2,4,7}:{(55,1),(56,1),(57,1),(59,1),(115,1),(116,1)}
        86:{1,2,5}:{(56,1),(58,1),(60,1),(117,1)}
        87:{2,3,4,6}:{(57,1),(61,1),(115,1),(118,1),(119,1),(166,1),(171,1),(207,1)}
        88:{2,3,5,7}:{(57,1),(58,1),(62,1),(108,1),(116,1),(118,1),(119,1),(120,1)}
        89:{2,3,6}:{(58,1),(63,1),(109,1),(117,1),(120,1)}
        90:{1,3,4,6}:{(59,1),(61,1),(115,1),(121,1),(122,1),(166,1),(174,1),(207,1)}
        91:{1,3,5,7}:{(59,1),(60,1),(62,1),(68,1),(116,1),(121,1),(122,1),(123,1)}
        92:{1,3,6}:{(60,1),(63,1),(69,1),(117,1),(123,1)}
        93:{3,5}:{(61,1),(64,1),(124,1)}
        94:{3,6}:{(62,1),(65,1)}
        95:{3,7}:{(63,1),(66,1)}
        96:{1,2,5,6}:{(64,1),(65,1),(72,1),(112,1),(125,1),(127,1),(128,1),(162,1)}
        97:{1,2,4,6,7}:{(65,1),(66,1),(67,1),(73,1),(113,1),(126,1),(127,1),(129,1),(163,1),(169,1),(176,1),(208,1)}
        98:{1,4,6}:{(68,1),(70,1),(122,1),(128,1)}
        99:{1,4,7}:{(69,1),(71,1),(103,1),(123,1)}
       100:{3,5,6}:{(70,1),(72,1),(128,1),(130,1),(131,1)}
       101:{3,4,6,7}:{(70,1),(71,1),(73,1),(104,1),(126,1),(129,1),(131,1),(158,1),(176,1),(199,1),(212,1)}
       102:{2,5,7}:{(72,1),(73,1),(131,1)}
       103:{1,5,7}:{(74,1),(75,1),(99,1),(132,1)}
       104:{3,6,7}:{(75,1),(76,1),(132,1)}
       105:{2,5,6,7}:{(76,1),(102,1),(133,1),(214,1)}
       106:{3,5,6}:{(77,1),(80,1),(134,1),(135,1)}
       107:{1,4,5,7}:{(77,1),(82,1),(135,1),(136,1),(141,1),(184,1)}
       108:{2,4,5,7}:{(78,1),(79,1),(88,1),(137,1),(138,1),(146,1),(183,1),(193,1)}
       109:{2,4,6}:{(78,1),(80,1),(89,1),(134,1),(138,1)}
       110:{3,4,6}:{(79,1),(81,1),(94,1),(137,1),(139,1),(152,1)}
       111:{3,4,7}:{(80,1),(82,1),(95,1),(135,1),(138,1)}
       112:{1,5,6}:{(81,1),(139,1),(141,1)}
       113:{1,4,6,7}:{(81,1),(82,1),(83,1),(140,1),(141,1),(222,1),(229,1)}
       114:{1,2,3,5}:{(84,1),(142,1),(143,1),(185,1),(188,1),(218,1)}
       115:{1,2,4,6}:{(84,1),(85,1),(87,1),(90,1),(142,1),(143,1),(144,1)}
       116:{1,2,5,7}:{(85,1),(86,1),(88,1),(91,1),(143,1),(144,1),(145,1)}
       117:{1,2,6}:{(86,1),(89,1),(92,1),(145,1)}
       118:{2,3,5}:{(87,1),(93,1),(143,1),(146,1),(188,1)}
       119:{2,3,6}:{(88,1),(94,1),(137,1),(144,1)}
       120:{2,3,7}:{(89,1),(95,1),(138,1),(145,1)}
       121:{1,3,5}:{(90,1),(93,1),(143,1),(149,1),(188,1)}
       122:{1,3,6}:{(91,1),(94,1),(98,1),(144,1)}
       123:{1,3,7}:{(92,1),(95,1),(99,1),(145,1)}
       124:{4,5}:{(93,1),(152,1)}
       125:{3,5,6}:{(93,1),(94,1),(96,1),(152,1),(153,1)}
       126:{3,6,7}:{(94,1),(95,1),(97,1),(153,1),(221,1)}
       127:{1,2,5,7}:{(96,1),(97,1),(102,1),(141,1),(153,1),(155,1),(183,1)}
       128:{1,5,6}:{(98,1),(100,1),(155,1)}
       129:{1,4,6,7}:{(98,1),(99,1),(101,1),(132,1),(151,1),(155,1),(196,1)}
       130:{4,5,6}:{(100,1),(152,1),(156,1)}
       131:{3,5,7}:{(100,1),(101,1),(102,1),(155,1),(156,1)}
       132:{1,6,7}:{(103,1),(104,1)}
       133:{3,5,6,7}:{(104,1),(105,1),(131,1),(157,1),(158,1),(199,1)}
       134:{2,5,6}:{(106,1),(109,1),(159,1)}
       135:{3,5,7}:{(106,1),(107,1),(111,1),(159,1),(160,1)}
       136:{1,4,6,7}:{(107,1),(160,1),(161,1),(201,1)}
       137:{2,4,6}:{(108,1),(110,1),(119,1),(162,1)}
       138:{2,4,7}:{(109,1),(111,1),(120,1),(159,1)}
       139:{3,5,6}:{(110,1),(112,1),(162,1),(164,1),(165,1)}
       140:{3,4,6,7}:{(110,1),(111,1),(113,1),(126,1),(160,1),(163,1),(165,1),(176,1),(201,1),(210,1),(224,1)}
       141:{1,5,7}:{(112,1),(113,1),(165,1)}
       142:{1,2,4}:{(114,1),(166,1)}
       143:{1,2,5}:{(115,1),(118,1),(121,1)}
       144:{1,2,6}:{(116,1),(119,1),(122,1)}
       145:{1,2,7}:{(117,1),(120,1),(123,1)}
       146:{2,4,5}:{(118,1),(124,1),(170,1),(171,1)}
       147:{2,3,5,6}:{(118,1),(119,1),(125,1),(162,1),(168,1),(171,1),(172,1),(202,1),(207,1)}
       148:{2,3,6,7}:{(119,1),(120,1),(126,1),(163,1),(169,1),(172,1),(224,1)}
       149:{1,4,5}:{(121,1),(124,1),(173,1),(174,1)}
       150:{1,3,5,6}:{(121,1),(122,1),(125,1),(128,1),(168,1),(174,1),(175,1),(177,1),(207,1)}
       151:{1,3,6,7}:{(122,1),(123,1),(126,1),(129,1),(169,1),(175,1),(199,1)}
       152:{4,6}:{(124,1),(125,1),(176,1)}
       153:{3,5,7}:{(125,1),(126,1),(127,1),(176,1)}
       154:{1,4,5,6}:{(128,1),(130,1),(174,1),(177,1),(178,1)}
       155:{1,5,7}:{(128,1),(129,1),(131,1)}
       156:{4,5,7}:{(130,1),(131,1),(158,1),(176,1)}
       157:{1,5,6,7}:{(132,1),(133,1),(155,1),(179,1)}
       158:{4,6,7}:{(133,1),(156,1)}
       159:{2,5,7}:{(134,1),(135,1),(138,1),(180,1)}
       160:{3,6,7}:{(135,1),(136,1),(180,1)}
       161:{1,5,6,7}:{(136,1),(141,1),(181,1),(229,1)}
       162:{2,5,6}:{(137,1),(139,1),(183,1)}
       163:{2,4,6,7}:{(137,1),(138,1),(140,1),(148,1),(180,1),(183,1),(193,1)}
       164:{4,5,6}:{(139,1),(152,1),(184,1)}
       165:{3,5,7}:{(139,1),(140,1),(141,1),(183,1),(184,1)}
       166:{3,4}:{(142,1),(188,1)}
       167:{1,2,4,5}:{(142,1),(143,1),(146,1),(149,1),(188,1),(189,1),(191,1),(194,1),(218,1)}
       168:{1,2,5,6}:{(143,1),(144,1),(147,1),(150,1),(189,1),(190,1),(197,1),(216,1)}
       169:{1,2,6,7}:{(144,1),(145,1),(148,1),(151,1),(190,1),(214,1),(229,1)}
       170:{3,4,5}:{(146,1),(188,1),(191,1),(192,1)}
       171:{2,4,6}:{(146,1),(147,1),(152,1),(192,1),(193,1)}
       172:{2,3,5,7}:{(147,1),(148,1),(153,1),(183,1),(190,1),(193,1),(217,1),(221,1)}
       173:{3,4,5}:{(149,1),(188,1),(194,1),(195,1)}
       174:{1,4,6}:{(149,1),(150,1),(152,1),(195,1),(196,1)}
       175:{1,3,5,7}:{(150,1),(151,1),(153,1),(155,1),(190,1),(196,1),(198,1),(221,1)}
       176:{4,7}:{(152,1),(153,1)}
       177:{3,5,6}:{(154,1),(195,1),(197,1),(198,1)}
       178:{1,4,5,7}:{(154,1),(155,1),(156,1),(179,1),(196,1),(198,1)}
       179:{1,4,6,7}:{(157,1),(158,1),(178,1),(199,1)}
       180:{2,6,7}:{(159,1),(160,1)}
       181:{3,5,6,7}:{(160,1),(161,1),(165,1),(200,1),(201,1),(224,1)}
       182:{2,4,5,6}:{(162,1),(164,1),(171,1),(202,1),(203,1)}
       183:{2,5,7}:{(162,1),(163,1),(165,1)}
       184:{4,5,7}:{(164,1),(165,1),(176,1),(201,1)}
       185:{1,2,3}:{(204,1)}
       186:{2,3,4}:{(166,1),(204,1),(205,1)}
       187:{1,3,4}:{(166,1),(204,1),(206,1)}
       188:{3,5}:{(166,1),(167,1),(207,1)}
       189:{1,2,4,6}:{(167,1),(168,1),(171,1),(174,1),(207,1),(208,1),(209,1),(211,1),(226,1)}
       190:{1,2,5,7}:{(168,1),(169,1),(172,1),(175,1),(208,1),(213,1),(225,1)}
       191:{1,4,5}:{(170,1),(206,1),(209,1)}
       192:{3,4,6}:{(170,1),(171,1),(202,1),(207,1),(209,1),(210,1)}
       193:{2,4,7}:{(171,1),(172,1),(176,1),(210,1)}
       194:{2,4,5}:{(173,1),(205,1),(211,1)}
       195:{3,4,6}:{(173,1),(174,1),(177,1),(207,1),(211,1),(212,1)}
       196:{1,4,7}:{(174,1),(175,1),(176,1),(212,1)}
       197:{2,5,6}:{(177,1),(211,1),(213,1)}
       198:{3,5,7}:{(177,1),(178,1),(199,1),(212,1),(213,1)}
       199:{3,6,7}:{(179,1),(198,1),(214,1)}
       200:{2,5,6,7}:{(180,1),(181,1),(183,1),(215,1)}
       201:{4,6,7}:{(181,1),(184,1)}
       202:{3,5,6}:{(182,1),(192,1),(216,1),(217,1)}
       203:{2,4,5,7}:{(182,1),(183,1),(184,1),(193,1),(215,1),(217,1)}
       204:{1,2,4}:{(185,1),(186,1),(187,1),(218,1)}
       205:{2,3,5}:{(186,1),(188,1),(194,1),(218,1),(219,1)}
       206:{1,3,5}:{(187,1),(188,1),(191,1),(218,1),(220,1)}
       207:{3,6}:{(188,1),(189,1),(221,1)}
       208:{1,2,4,7}:{(189,1),(190,1),(193,1),(196,1),(221,1),(222,1),(223,1),(230,1)}
       209:{1,4,6}:{(191,1),(192,1),(216,1),(220,1),(222,1)}
       210:{3,4,7}:{(192,1),(193,1),(217,1),(221,1),(222,1)}
       211:{2,4,6}:{(194,1),(195,1),(197,1),(219,1),(223,1)}
       212:{3,4,7}:{(195,1),(196,1),(198,1),(221,1),(223,1)}
       213:{2,5,7}:{(197,1),(198,1),(214,1),(223,1)}
       214:{2,6,7}:{(199,1),(213,1)}
       215:{2,4,6,7}:{(200,1),(201,1),(203,1),(224,1)}
       216:{1,5,6}:{(202,1),(209,1),(225,1)}
       217:{3,5,7}:{(202,1),(203,1),(210,1),(224,1),(225,1)}
       218:{1,2,5}:{(204,1),(205,1),(206,1),(226,1)}
       219:{2,3,6}:{(205,1),(207,1),(211,1),(226,1),(227,1)}
       220:{1,3,6}:{(206,1),(207,1),(209,1),(226,1),(228,1)}
       221:{3,7}:{(207,1),(208,1)}
       222:{1,4,7}:{(209,1),(210,1),(225,1),(228,1)}
       223:{2,4,7}:{(211,1),(212,1),(213,1),(227,1)}
       224:{3,6,7}:{(215,1),(217,1),(229,1)}
       225:{1,5,7}:{(216,1),(217,1),(222,1),(229,1)}
       226:{1,2,6}:{(218,1),(219,1),(220,1),(230,1)}
       227:{2,3,7}:{(219,1),(221,1),(223,1),(230,1)}
       228:{1,3,7}:{(220,1),(221,1),(222,1),(230,1)}
       229:{1,6,7}:{(224,1),(225,1)}
       230:{1,2,7}:{(226,1),(227,1),(228,1)}

1127 :   0:{1,2,3,7}:{(4,1),(5,1),(136,1),(163,1),(210,1)}
         1:{2,3,4,7}:{(5,1),(6,1),(7,1),(25,1),(97,1),(137,1),(163,1)}
         2:{1,2,3,5,7}:{(0,1),(8,1),(10,1),(11,1),(16,1),(18,1),(41,1),(43,1),(47,1),(48,1)}
         3:{3,4,5,7}:{(12,1),(13,1),(14,1),(47,1),(55,1),(63,1),(105,1),(109,1),(131,1),(176,1),(179,1)}
         4:{1,2,3,6}:{(0,1),(16,1),(17,1),(128,1),(189,1)}
         5:{1,2,4,7}:{(0,1),(1,1),(15,1),(17,1),(18,1),(170,1)}
         6:{2,3,4,6}:{(1,1),(17,1),(19,1),(20,1),(46,1),(59,1),(64,1),(128,1)}
         7:{2,3,5,7}:{(1,1),(12,1),(18,1),(19,1),(20,1),(47,1),(171,1),(217,1)}
         8:{1,2,3,7}:{(21,1),(22,1),(89,1),(200,1),(226,1)}
         9:{1,3,4,7}:{(22,1),(23,1),(24,1),(25,1),(91,1),(144,1),(200,1)}
        10:{1,2,3,6}:{(2,1),(26,1),(36,1),(70,1),(76,1)}
        11:{1,2,4,7}:{(2,1),(25,1),(26,1),(34,1),(68,1)}
        12:{2,4,5,7}:{(3,1),(7,1),(28,1),(37,1),(80,1),(97,1),(142,1),(201,1)}
        13:{1,4,5,7}:{(3,1),(24,1),(29,1),(71,1),(82,1),(95,1),(144,1),(164,1)}
        14:{3,4,6}:{(3,1),(28,1),(29,1),(30,1),(76,1),(147,1)}
        15:{1,3,4,7}:{(5,1),(25,1),(32,1),(33,1),(138,1),(159,1),(163,1)}
        16:{1,2,3,5}:{(4,1),(34,1),(35,1),(89,1),(92,1),(160,1)}
        17:{1,2,4,6}:{(4,1),(5,1),(6,1),(32,1),(34,1),(35,1),(36,1)}
        18:{1,2,5,7}:{(5,1),(7,1),(33,1),(35,1),(36,1),(197,1),(226,1)}
        19:{2,3,5}:{(6,1),(35,1),(37,1),(75,1),(92,1)}
        20:{2,3,6}:{(7,1),(28,1),(36,1),(76,1)}
        21:{1,2,3,6}:{(8,1),(41,1),(42,1),(173,1),(216,1)}
        22:{1,2,4,7}:{(8,1),(9,1),(40,1),(42,1),(43,1),(125,1)}
        23:{1,3,4,6}:{(9,1),(42,1),(44,1),(45,1),(46,1),(101,1),(106,1),(173,1)}
        24:{1,3,5,7}:{(9,1),(13,1),(43,1),(44,1),(45,1),(47,1),(127,1),(191,1)}
        25:{3,4,7}:{(11,1),(46,1),(47,1),(59,1),(101,1),(179,1)}
        26:{1,2,4,6}:{(10,1),(11,1),(46,1),(48,1)}
        27:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(18,1),(43,1),(47,1),(48,1),(49,1),(56,1),(60,1),(98,1),(102,1),(109,1),(112,1),(129,1),(174,1),(179,1)}
        28:{2,4,6}:{(12,1),(14,1),(20,1),(50,1)}
        29:{1,4,6}:{(13,1),(14,1),(45,1),(52,1)}
        30:{3,5,6}:{(14,1),(50,1),(52,1),(54,1),(55,1)}
        31:{3,4,6,7}:{(14,1),(51,1),(53,1),(55,1),(111,1),(119,1),(131,1),(176,1),(179,1),(180,1),(182,1)}
        32:{1,3,4,6}:{(15,1),(17,1),(46,1),(57,1),(58,1),(59,1),(123,1),(128,1)}
        33:{1,3,5,7}:{(15,1),(18,1),(47,1),(56,1),(57,1),(58,1),(172,1),(218,1)}
        34:{1,2,4}:{(16,1),(59,1)}
        35:{1,2,5}:{(17,1),(19,1),(57,1)}
        36:{1,2,6}:{(18,1),(20,1),(58,1)}
        37:{2,4,5}:{(19,1),(63,1),(64,1),(109,1)}
        38:{2,3,5,6}:{(19,1),(20,1),(50,1),(61,1),(64,1),(65,1),(110,1),(114,1),(128,1)}
        39:{2,3,6,7}:{(20,1),(51,1),(62,1),(65,1),(111,1),(180,1),(217,1)}
        40:{2,3,4,7}:{(22,1),(25,1),(66,1),(67,1),(90,1),(196,1),(200,1)}
        41:{1,2,3,5}:{(21,1),(68,1),(69,1),(136,1),(139,1),(197,1)}
        42:{1,2,4,6}:{(21,1),(22,1),(23,1),(66,1),(68,1),(69,1),(70,1)}
        43:{1,2,5,7}:{(22,1),(24,1),(67,1),(69,1),(70,1),(160,1),(210,1)}
        44:{1,3,5}:{(23,1),(69,1),(71,1),(75,1),(139,1)}
        45:{1,3,6}:{(24,1),(29,1),(70,1),(76,1)}
        46:{3,4,6}:{(25,1),(26,1),(75,1),(76,1),(147,1)}
        47:{3,5,7}:{(25,1),(27,1),(75,1),(76,1),(92,1),(139,1),(163,1),(200,1)}
        48:{1,2,5}:{(26,1),(75,1)}
        49:{1,2,4,6}:{(27,1),(28,1),(29,1),(36,1),(70,1),(76,1),(77,1),(85,1),(132,1),(147,1)}
        50:{2,5,6}:{(28,1),(30,1),(80,1)}
        51:{2,4,6,7}:{(28,1),(31,1),(39,1),(80,1),(97,1),(201,1),(205,1)}
        52:{1,5,6}:{(29,1),(30,1),(82,1)}
        53:{1,4,6,7}:{(29,1),(31,1),(73,1),(82,1),(144,1),(164,1),(204,1)}
        54:{4,5,6}:{(30,1),(84,1),(147,1)}
        55:{3,5,7}:{(30,1),(31,1),(80,1),(82,1),(84,1)}
        56:{1,4,5,7}:{(33,1),(74,1),(85,1),(86,1),(156,1),(159,1),(194,1),(225,1)}
        57:{1,3,5}:{(32,1),(35,1),(75,1),(86,1),(92,1)}
        58:{1,3,6}:{(33,1),(36,1),(76,1),(85,1)}
        59:{3,4}:{(34,1),(92,1)}
        60:{1,2,4,5}:{(34,1),(35,1),(37,1),(86,1),(92,1),(93,1),(95,1),(157,1),(160,1)}
        61:{1,2,5,6}:{(35,1),(36,1),(38,1),(87,1),(93,1),(94,1),(150,1),(207,1)}
        62:{1,2,6,7}:{(36,1),(39,1),(88,1),(94,1),(204,1),(226,1),(227,1)}
        63:{3,4,5}:{(37,1),(92,1),(95,1),(96,1)}
        64:{2,4,6}:{(37,1),(38,1),(96,1),(97,1),(147,1)}
        65:{2,3,5,7}:{(38,1),(39,1),(80,1),(94,1),(97,1),(148,1),(151,1),(163,1)}
        66:{2,3,4,6}:{(40,1),(42,1),(46,1),(99,1),(100,1),(101,1),(168,1),(173,1)}
        67:{2,3,5,7}:{(40,1),(43,1),(47,1),(98,1),(99,1),(100,1),(126,1),(190,1)}
        68:{1,2,4}:{(41,1),(101,1)}
        69:{1,2,5}:{(42,1),(44,1),(99,1)}
        70:{1,2,6}:{(43,1),(45,1),(100,1)}
        71:{1,4,5}:{(44,1),(105,1),(106,1),(109,1)}
        72:{1,3,5,6}:{(44,1),(45,1),(52,1),(103,1),(106,1),(107,1),(110,1),(117,1),(173,1)}
        73:{1,3,6,7}:{(45,1),(53,1),(104,1),(107,1),(111,1),(182,1),(191,1)}
        74:{3,4,5,7}:{(47,1),(56,1),(98,1),(108,1),(109,1),(122,1),(167,1),(178,1),(179,1),(188,1),(215,1)}
        75:{3,5}:{(46,1),(48,1),(109,1)}
        76:{3,6}:{(47,1),(49,1)}
        77:{1,2,5,6}:{(48,1),(49,1),(50,1),(52,1),(110,1),(112,1),(120,1),(165,1)}
        78:{1,2,4,6,7}:{(49,1),(51,1),(53,1),(62,1),(104,1),(111,1),(112,1),(121,1),(129,1),(166,1),(174,1),(179,1)}
        79:{2,4,5,6}:{(50,1),(54,1),(64,1),(114,1),(115,1)}
        80:{2,5,7}:{(50,1),(51,1),(55,1)}
        81:{1,4,5,6}:{(52,1),(54,1),(106,1),(117,1),(118,1)}
        82:{1,5,7}:{(52,1),(53,1),(55,1)}
        83:{3,5,6,7}:{(55,1),(113,1),(116,1),(119,1),(180,1),(182,1)}
        84:{4,5,7}:{(54,1),(55,1),(119,1),(179,1)}
        85:{1,4,6}:{(56,1),(58,1),(108,1),(120,1)}
        86:{1,4,5}:{(57,1),(109,1),(122,1),(123,1)}
        87:{1,3,5,6}:{(57,1),(58,1),(61,1),(110,1),(120,1),(123,1),(124,1),(128,1),(185,1)}
        88:{1,3,6,7}:{(58,1),(62,1),(111,1),(121,1),(124,1),(218,1),(220,1)}
        89:{1,2,3}:{(125,1)}
        90:{2,3,4}:{(59,1),(125,1),(126,1)}
        91:{1,3,4}:{(59,1),(125,1),(127,1)}
        92:{3,5}:{(59,1),(60,1),(128,1)}
        93:{1,2,4,6}:{(60,1),(61,1),(64,1),(123,1),(128,1),(129,1),(130,1),(187,1),(189,1)}
        94:{1,2,5,7}:{(61,1),(62,1),(65,1),(124,1),(129,1),(181,1),(221,1)}
        95:{1,4,5}:{(63,1),(127,1),(130,1)}
        96:{3,4,6}:{(63,1),(64,1),(114,1),(128,1),(130,1),(131,1)}
        97:{2,4,7}:{(64,1),(65,1),(131,1),(179,1)}
        98:{2,4,5,7}:{(67,1),(74,1),(132,1),(133,1),(157,1),(193,1),(196,1),(209,1)}
        99:{2,3,5}:{(66,1),(69,1),(75,1),(133,1),(139,1)}
       100:{2,3,6}:{(67,1),(70,1),(76,1),(132,1)}
       101:{3,4}:{(68,1),(139,1)}
       102:{1,2,4,5}:{(68,1),(69,1),(71,1),(133,1),(139,1),(140,1),(142,1),(194,1),(197,1)}
       103:{1,2,5,6}:{(69,1),(70,1),(72,1),(134,1),(140,1),(141,1),(153,1),(223,1)}
       104:{1,2,6,7}:{(70,1),(73,1),(135,1),(141,1),(205,1),(210,1),(230,1)}
       105:{3,4,5}:{(71,1),(139,1),(142,1),(143,1)}
       106:{1,4,6}:{(71,1),(72,1),(143,1),(144,1),(147,1)}
       107:{1,3,5,7}:{(72,1),(73,1),(82,1),(141,1),(144,1),(148,1),(154,1),(200,1)}
       108:{3,4,6}:{(74,1),(76,1),(85,1),(132,1),(145,1),(147,1)}
       109:{4,5}:{(75,1),(147,1)}
       110:{3,5,6}:{(75,1),(76,1),(77,1),(147,1),(148,1)}
       111:{3,6,7}:{(76,1),(78,1),(148,1),(163,1),(200,1)}
       112:{1,2,5,7}:{(77,1),(78,1),(80,1),(82,1),(148,1),(156,1),(193,1)}
       113:{2,5,6,7}:{(80,1),(83,1),(149,1),(205,1)}
       114:{3,5,6}:{(79,1),(96,1),(150,1),(151,1)}
       115:{2,4,5,7}:{(79,1),(80,1),(84,1),(97,1),(149,1),(151,1)}
       116:{1,5,6,7}:{(82,1),(83,1),(152,1),(204,1)}
       117:{3,5,6}:{(81,1),(143,1),(153,1),(154,1)}
       118:{1,4,5,7}:{(81,1),(82,1),(84,1),(144,1),(152,1),(154,1)}
       119:{4,6,7}:{(83,1),(84,1)}
       120:{1,5,6}:{(85,1),(145,1),(156,1)}
       121:{1,4,6,7}:{(85,1),(88,1),(146,1),(156,1),(159,1),(225,1),(230,1)}
       122:{3,4,5}:{(86,1),(92,1),(157,1),(158,1)}
       123:{1,4,6}:{(86,1),(87,1),(147,1),(158,1),(159,1)}
       124:{1,3,5,7}:{(87,1),(88,1),(94,1),(148,1),(156,1),(159,1),(163,1),(208,1)}
       125:{1,2,4}:{(89,1),(90,1),(91,1),(160,1)}
       126:{2,3,5}:{(90,1),(92,1),(157,1),(160,1),(161,1)}
       127:{1,3,5}:{(91,1),(92,1),(95,1),(160,1),(162,1)}
       128:{3,6}:{(92,1),(93,1),(163,1)}
       129:{1,2,4,7}:{(93,1),(94,1),(97,1),(159,1),(163,1),(164,1),(209,1),(210,1)}
       130:{1,4,6}:{(95,1),(96,1),(150,1),(162,1),(164,1)}
       131:{3,4,7}:{(96,1),(97,1),(151,1),(163,1),(164,1)}
       132:{2,4,6}:{(98,1),(100,1),(108,1),(165,1)}
       133:{2,4,5}:{(99,1),(109,1),(167,1),(168,1)}
       134:{2,3,5,6}:{(99,1),(100,1),(103,1),(110,1),(165,1),(168,1),(169,1),(173,1),(212,1)}
       135:{2,3,6,7}:{(100,1),(104,1),(111,1),(166,1),(169,1),(190,1),(228,1)}
       136:{1,2,3}:{(170,1)}
       137:{2,3,4}:{(101,1),(170,1),(171,1)}
       138:{1,3,4}:{(101,1),(170,1),(172,1)}
       139:{3,5}:{(101,1),(102,1),(173,1)}
       140:{1,2,4,6}:{(102,1),(103,1),(106,1),(168,1),(173,1),(174,1),(175,1),(214,1),(216,1)}
       141:{1,2,5,7}:{(103,1),(104,1),(107,1),(169,1),(174,1),(183,1),(229,1)}
       142:{2,4,5}:{(105,1),(171,1),(175,1)}
       143:{3,4,6}:{(105,1),(106,1),(117,1),(173,1),(175,1),(176,1)}
       144:{1,4,7}:{(106,1),(107,1),(176,1),(179,1)}
       145:{3,5,6}:{(108,1),(120,1),(165,1),(177,1),(178,1)}
       146:{3,4,6,7}:{(108,1),(111,1),(121,1),(166,1),(178,1),(179,1),(188,1),(215,1),(219,1),(220,1),(228,1)}
       147:{4,6}:{(109,1),(110,1),(179,1)}
       148:{3,5,7}:{(110,1),(111,1),(112,1),(179,1)}
       149:{2,4,6,7}:{(113,1),(115,1),(119,1),(180,1)}
       150:{1,5,6}:{(114,1),(130,1),(181,1)}
       151:{3,5,7}:{(114,1),(115,1),(131,1),(180,1),(181,1)}
       152:{1,4,6,7}:{(116,1),(118,1),(119,1),(182,1)}
       153:{2,5,6}:{(117,1),(175,1),(183,1)}
       154:{3,5,7}:{(117,1),(118,1),(176,1),(182,1),(183,1)}
       155:{1,4,5,6}:{(120,1),(123,1),(177,1),(185,1),(186,1)}
       156:{1,5,7}:{(120,1),(121,1),(178,1)}
       157:{2,4,5}:{(122,1),(126,1),(187,1)}
       158:{3,4,6}:{(122,1),(123,1),(128,1),(185,1),(187,1),(188,1)}
       159:{1,4,7}:{(123,1),(124,1),(179,1),(188,1)}
       160:{1,2,5}:{(125,1),(126,1),(127,1),(189,1)}
       161:{2,3,6}:{(126,1),(128,1),(187,1),(189,1),(190,1)}
       162:{1,3,6}:{(127,1),(128,1),(130,1),(189,1),(191,1)}
       163:{3,7}:{(128,1),(129,1)}
       164:{1,4,7}:{(130,1),(131,1),(181,1),(191,1)}
       165:{2,5,6}:{(132,1),(145,1),(193,1)}
       166:{2,4,6,7}:{(132,1),(135,1),(146,1),(193,1),(196,1),(209,1),(227,1)}
       167:{3,4,5}:{(133,1),(139,1),(194,1),(195,1)}
       168:{2,4,6}:{(133,1),(134,1),(147,1),(195,1),(196,1)}
       169:{2,3,5,7}:{(134,1),(135,1),(141,1),(148,1),(193,1),(196,1),(200,1),(224,1)}
       170:{1,2,4}:{(136,1),(137,1),(138,1),(197,1)}
       171:{2,3,5}:{(137,1),(139,1),(142,1),(197,1),(198,1)}
       172:{1,3,5}:{(138,1),(139,1),(194,1),(197,1),(199,1)}
       173:{3,6}:{(139,1),(140,1),(200,1)}
       174:{1,2,4,7}:{(140,1),(141,1),(144,1),(196,1),(200,1),(201,1),(225,1),(226,1)}
       175:{2,4,6}:{(142,1),(143,1),(153,1),(198,1),(201,1)}
       176:{3,4,7}:{(143,1),(144,1),(154,1),(200,1),(201,1)}
       177:{4,5,6}:{(145,1),(147,1),(203,1)}
       178:{3,5,7}:{(145,1),(146,1),(156,1),(193,1),(203,1)}
       179:{4,7}:{(147,1),(148,1)}
       180:{3,6,7}:{(149,1),(151,1),(204,1)}
       181:{1,5,7}:{(150,1),(151,1),(164,1),(204,1)}
       182:{3,6,7}:{(152,1),(154,1),(205,1)}
       183:{2,5,7}:{(153,1),(154,1),(201,1),(205,1)}
       184:{1,5,6,7}:{(156,1),(202,1),(206,1),(230,1)}
       185:{3,5,6}:{(155,1),(158,1),(207,1),(208,1)}
       186:{1,4,5,7}:{(155,1),(156,1),(159,1),(203,1),(206,1),(208,1)}
       187:{2,4,6}:{(157,1),(158,1),(161,1),(207,1),(209,1)}
       188:{3,4,7}:{(158,1),(159,1),(163,1),(208,1),(209,1)}
       189:{1,2,6}:{(160,1),(161,1),(162,1),(210,1)}
       190:{2,3,7}:{(161,1),(163,1),(209,1),(210,1)}
       191:{1,3,7}:{(162,1),(163,1),(164,1),(210,1)}
       192:{2,4,5,6}:{(165,1),(168,1),(177,1),(212,1),(213,1)}
       193:{2,5,7}:{(165,1),(166,1),(178,1)}
       194:{1,4,5}:{(167,1),(172,1),(214,1)}
       195:{3,4,6}:{(167,1),(168,1),(173,1),(212,1),(214,1),(215,1)}
       196:{2,4,7}:{(168,1),(169,1),(179,1),(215,1)}
       197:{1,2,5}:{(170,1),(171,1),(172,1),(216,1)}
       198:{2,3,6}:{(171,1),(173,1),(175,1),(216,1),(217,1)}
       199:{1,3,6}:{(172,1),(173,1),(214,1),(216,1),(218,1)}
       200:{3,7}:{(173,1),(174,1)}
       201:{2,4,7}:{(175,1),(176,1),(183,1),(217,1)}
       202:{3,5,6,7}:{(178,1),(184,1),(211,1),(219,1),(220,1),(228,1)}
       203:{4,5,7}:{(177,1),(178,1),(179,1),(219,1)}
       204:{1,6,7}:{(180,1),(181,1)}
       205:{2,6,7}:{(182,1),(183,1)}
       206:{1,4,6,7}:{(184,1),(186,1),(219,1),(220,1)}
       207:{2,5,6}:{(185,1),(187,1),(221,1)}
       208:{3,5,7}:{(185,1),(186,1),(188,1),(220,1),(221,1)}
       209:{2,4,7}:{(187,1),(188,1),(190,1),(221,1)}
       210:{1,2,7}:{(189,1),(190,1),(191,1)}
       211:{2,5,6,7}:{(193,1),(202,1),(222,1),(227,1)}
       212:{3,5,6}:{(192,1),(195,1),(223,1),(224,1)}
       213:{2,4,5,7}:{(192,1),(193,1),(196,1),(203,1),(222,1),(224,1)}
       214:{1,4,6}:{(194,1),(195,1),(199,1),(223,1),(225,1)}
       215:{3,4,7}:{(195,1),(196,1),(200,1),(224,1),(225,1)}
       216:{1,2,6}:{(197,1),(198,1),(199,1),(226,1)}
       217:{2,3,7}:{(198,1),(200,1),(201,1),(226,1)}
       218:{1,3,7}:{(199,1),(200,1),(225,1),(226,1)}
       219:{4,6,7}:{(202,1),(203,1)}
       220:{3,6,7}:{(206,1),(208,1),(227,1)}
       221:{2,5,7}:{(207,1),(208,1),(209,1),(227,1)}
       222:{2,4,6,7}:{(211,1),(213,1),(219,1),(228,1)}
       223:{1,5,6}:{(212,1),(214,1),(229,1)}
       224:{3,5,7}:{(212,1),(213,1),(215,1),(228,1),(229,1)}
       225:{1,4,7}:{(214,1),(215,1),(218,1),(229,1)}
       226:{1,2,7}:{(216,1),(217,1),(218,1)}
       227:{2,6,7}:{(220,1),(221,1)}
       228:{3,6,7}:{(222,1),(224,1),(230,1)}
       229:{1,5,7}:{(223,1),(224,1),(225,1),(230,1)}
       230:{1,6,7}:{(228,1),(229,1)}

1128 :   0:{1,3,4,5,7}:{(1,1),(2,1),(10,1),(41,1),(76,1),(84,1),(91,1),(122,1),(125,1),(130,1)}
         1:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(20,1),(26,1),(53,1),(63,1),(67,1)}
         2:{1,3,4,6}:{(0,1),(7,1),(8,1),(68,1),(147,1),(150,1),(155,1)}
         3:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(12,1),(39,1),(76,1),(81,1)}
         4:{1,3,5,6,7}:{(10,1),(11,1),(12,1),(13,1),(39,1),(121,1)}
         5:{1,4,5,6,7}:{(12,1),(13,1),(169,1)}
         6:{2,3,5,7}:{(1,1),(15,1),(16,1),(46,1),(125,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(47,1)}
         8:{1,3,5,6}:{(2,1),(10,1),(17,1),(18,1),(48,1),(84,1),(133,1)}
         9:{1,2,4,6,7}:{(3,1),(7,1),(19,1),(20,1),(53,1)}
        10:{1,3,5,7}:{(3,1),(8,1),(20,1),(21,1),(54,1),(107,1)}
        11:{1,2,5,6,7}:{(4,1),(20,1),(22,1),(23,1),(25,1),(96,1),(107,1)}
        12:{1,4,6,7}:{(4,1),(21,1),(24,1),(147,1)}
        13:{3,5,6,7}:{(5,1),(24,1),(25,1),(189,1)}
        14:{1,2,3,5,7}:{(6,1),(26,1),(27,1),(60,1),(63,1)}
        15:{2,3,4,7}:{(6,1),(26,1),(29,1),(53,1),(98,1)}
        16:{2,3,6}:{(6,1),(7,1),(150,1)}
        17:{1,2,5,6}:{(7,1),(8,1),(20,1),(30,1),(63,1)}
        18:{1,4,5,6}:{(8,1),(21,1),(32,1),(110,1),(147,1)}
        19:{2,3,6,7}:{(9,1),(16,1),(35,1),(39,1)}
        20:{1,2,5,7}:{(9,1),(10,1),(17,1),(35,1)}
        21:{1,4,5,7}:{(10,1),(12,1),(18,1),(37,1)}
        22:{2,3,5,6,7}:{(11,1),(35,1),(38,1),(39,1),(74,1),(80,1)}
        23:{1,2,4,6,7}:{(11,1),(12,1),(36,1),(38,1),(39,1),(40,1),(81,1),(82,1),(124,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(39,1),(40,1),(171,1)}
        25:{2,5,6,7}:{(13,1),(40,1),(202,1)}
        26:{1,2,4,7}:{(14,1),(15,1),(41,1),(43,1)}
        27:{1,2,3,6}:{(14,1),(16,1),(43,1),(83,1)}
        28:{2,3,4,5,7}:{(15,1),(42,1),(45,1),(46,1),(75,1),(89,1),(125,1),(136,1),(172,1),(179,1)}
        29:{2,3,4,6}:{(15,1),(16,1),(43,1),(46,1),(47,1),(88,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(35,1),(46,1),(47,1),(48,1)}
        31:{1,2,4,5,6}:{(17,1),(18,1),(36,1),(47,1),(48,1),(49,1),(79,1),(87,1),(92,1),(94,1),(124,1),(133,1)}
        32:{3,4,5,6}:{(18,1),(37,1),(48,1),(49,1),(136,1),(171,1)}
        33:{1,2,3,6,7}:{(19,1),(27,1),(50,1),(51,1),(58,1),(108,1),(150,1),(193,1),(194,1)}
        34:{2,3,4,6,7}:{(19,1),(29,1),(50,1),(52,1),(53,1),(57,1),(98,1),(100,1),(150,1)}
        35:{2,3,5,7}:{(19,1),(20,1),(30,1),(53,1),(54,1)}
        36:{1,2,4,5,7}:{(20,1),(21,1),(23,1),(31,1),(53,1),(54,1),(55,1),(56,1),(102,1),(104,1),(107,1)}
        37:{3,4,5,7}:{(21,1),(24,1),(32,1),(54,1),(55,1)}
        38:{2,4,6,7}:{(22,1),(53,1),(56,1),(57,1),(100,1)}
        39:{3,6,7}:{(23,1),(54,1),(150,1)}
        40:{2,4,6,7}:{(24,1),(25,1),(55,1),(59,1),(191,1)}
        41:{1,3,4,7}:{(26,1),(60,1),(61,1),(98,1),(158,1)}
        42:{1,2,4,5,7}:{(26,1),(28,1),(60,1),(62,1),(63,1),(110,1),(111,1),(158,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(29,1),(61,1),(63,1)}
        44:{1,2,3,5,6}:{(27,1),(30,1),(51,1),(63,1),(64,1),(69,1),(96,1),(109,1),(113,1),(150,1),(164,1),(165,1),(166,1),(194,1)}
        45:{2,3,4,6}:{(28,1),(62,1),(66,1),(100,1),(150,1),(159,1),(191,1)}
        46:{2,3,5}:{(29,1),(63,1),(67,1),(113,1)}
        47:{2,4,6}:{(30,1),(53,1),(67,1),(68,1)}
        48:{3,5,6}:{(31,1),(54,1),(68,1),(113,1),(150,1)}
        49:{2,4,5,6}:{(32,1),(55,1),(70,1),(161,1),(191,1)}
        50:{1,2,4,6,7}:{(33,1),(34,1),(43,1),(71,1),(72,1),(73,1),(81,1),(124,1),(203,1)}
        51:{1,2,3,5,7}:{(33,1),(35,1),(44,1),(72,1),(73,1),(77,1),(125,1),(134,1),(176,1),(177,1),(184,1)}
        52:{2,3,5,7}:{(34,1),(46,1),(72,1),(74,1),(75,1),(80,1),(125,1)}
        53:{2,4,7}:{(35,1),(47,1),(76,1)}
        54:{3,5,7}:{(36,1),(39,1),(48,1),(76,1)}
        55:{2,4,5,7}:{(37,1),(40,1),(49,1),(78,1)}
        56:{2,4,5,7}:{(38,1),(79,1),(80,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(76,1),(80,1),(81,1),(129,1)}
        58:{1,3,6,7}:{(39,1),(77,1),(81,1),(82,1),(174,1)}
        59:{2,3,6,7}:{(39,1),(40,1),(78,1),(82,1),(175,1)}
        60:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1),(125,1)}
        61:{1,3,4,6}:{(41,1),(43,1),(83,1),(84,1),(88,1),(135,1)}
        62:{1,2,4,6}:{(42,1),(45,1),(83,1),(86,1),(135,1)}
        63:{1,2,5}:{(43,1),(46,1),(84,1)}
        64:{1,2,4,6}:{(44,1),(47,1),(73,1),(87,1),(88,1),(92,1),(135,1),(181,1)}
        65:{2,3,4,6,7}:{(45,1),(85,1),(89,1),(128,1),(173,1),(179,1),(203,1)}
        66:{2,3,5,6}:{(45,1),(46,1),(86,1),(89,1),(90,1),(138,1),(202,1)}
        67:{2,4,5}:{(46,1),(47,1),(91,1)}
        68:{3,4,6}:{(47,1),(48,1),(76,1),(91,1),(92,1)}
        69:{1,3,5,6}:{(48,1),(77,1),(92,1),(94,1),(133,1),(139,1),(145,1),(174,1)}
        70:{2,3,5,6}:{(48,1),(49,1),(78,1),(93,1),(94,1),(140,1),(175,1)}
        71:{1,3,4,6,7}:{(50,1),(61,1),(95,1),(98,1),(108,1),(147,1),(150,1),(158,1),(190,1)}
        72:{1,2,5,7}:{(50,1),(52,1),(63,1),(95,1),(96,1),(107,1),(208,1)}
        73:{1,2,4,7}:{(51,1),(53,1),(64,1),(98,1),(102,1),(158,1),(196,1)}
        74:{2,3,5,6}:{(52,1),(96,1),(100,1),(106,1),(150,1)}
        75:{2,4,5,7}:{(52,1),(53,1),(67,1),(100,1),(101,1)}
        76:{3,4,7}:{(53,1),(54,1),(68,1),(102,1)}
        77:{1,3,5,7}:{(54,1),(58,1),(69,1),(102,1),(104,1),(107,1),(156,1)}
        78:{2,3,5,7}:{(54,1),(55,1),(59,1),(70,1),(103,1),(104,1)}
        79:{2,4,5,6}:{(56,1),(100,1),(106,1)}
        80:{3,5,7}:{(56,1),(57,1),(106,1),(107,1)}
        81:{1,4,6,7}:{(57,1),(58,1),(102,1),(107,1),(155,1)}
        82:{1,2,6,7}:{(58,1),(59,1),(104,1),(194,1)}
        83:{1,3,6}:{(60,1),(62,1),(150,1)}
        84:{1,3,5}:{(61,1),(63,1),(110,1),(113,1)}
        85:{1,2,4,6,7}:{(62,1),(65,1),(108,1),(111,1),(158,1)}
        86:{1,2,5,6}:{(62,1),(63,1),(66,1),(109,1),(111,1)}
        87:{1,2,4,5}:{(63,1),(64,1),(67,1),(110,1),(113,1),(118,1),(161,1),(165,1)}
        88:{3,4,6}:{(64,1),(98,1),(113,1),(150,1)}
        89:{2,3,5,7}:{(65,1),(66,1),(111,1),(116,1),(162,1),(208,1)}
        90:{2,4,5,6}:{(66,1),(67,1),(100,1),(116,1),(117,1)}
        91:{3,4,5}:{(67,1),(68,1),(113,1),(118,1)}
        92:{1,4,6}:{(68,1),(69,1),(102,1),(118,1)}
        93:{2,3,4,6}:{(68,1),(70,1),(103,1),(119,1),(120,1)}
        94:{1,2,5,6}:{(69,1),(70,1),(104,1),(120,1),(165,1),(194,1)}
        95:{1,3,5,7}:{(71,1),(72,1),(84,1),(121,1),(122,1),(125,1),(201,1)}
        96:{1,2,5,6}:{(72,1),(74,1),(121,1),(124,1),(133,1),(202,1)}
        97:{1,2,4,5,7}:{(72,1),(73,1),(75,1),(87,1),(122,1),(124,1),(125,1),(130,1),(172,1),(176,1)}
        98:{3,4,7}:{(73,1),(88,1),(125,1)}
        99:{2,3,5,6,7}:{(74,1),(89,1),(123,1),(128,1),(132,1),(173,1)}
       100:{2,4,6}:{(74,1),(75,1),(129,1)}
       101:{3,4,5,7}:{(75,1),(76,1),(80,1),(91,1),(125,1),(129,1),(130,1)}
       102:{1,4,7}:{(76,1),(77,1),(92,1)}
       103:{2,3,4,7}:{(76,1),(78,1),(93,1),(131,1)}
       104:{1,2,5,7}:{(77,1),(78,1),(82,1),(94,1),(131,1)}
       105:{2,4,5,6,7}:{(79,1),(128,1),(132,1)}
       106:{3,5,6}:{(79,1),(80,1),(129,1),(133,1)}
       107:{1,5,7}:{(80,1),(81,1),(133,1)}
       108:{1,3,6,7}:{(83,1),(85,1),(134,1),(173,1)}
       109:{1,3,5,6}:{(83,1),(84,1),(86,1),(134,1),(135,1),(138,1)}
       110:{1,4,5}:{(84,1),(135,1),(136,1)}
       111:{1,2,5,7}:{(85,1),(86,1),(89,1),(134,1)}
       112:{1,2,4,5,6}:{(86,1),(87,1),(90,1),(124,1),(135,1),(137,1),(138,1),(143,1),(169,1),(181,1),(185,1),(202,1)}
       113:{3,5}:{(87,1),(88,1)}
       114:{1,3,4,6}:{(88,1),(92,1),(126,1),(139,1),(141,1),(145,1),(174,1),(187,1)}
       115:{2,3,4,6}:{(88,1),(127,1),(140,1),(141,1),(175,1),(181,1),(206,1),(207,1)}
       116:{2,4,5,7}:{(89,1),(90,1),(128,1),(142,1)}
       117:{3,4,5,6}:{(90,1),(91,1),(129,1),(138,1),(142,1),(143,1)}
       118:{1,4,5}:{(91,1),(92,1),(139,1)}
       119:{2,3,4,5}:{(91,1),(93,1),(140,1),(144,1),(207,1)}
       120:{1,2,4,6}:{(92,1),(93,1),(94,1),(131,1),(144,1),(145,1)}
       121:{1,3,5,6}:{(95,1),(96,1),(147,1),(150,1),(189,1)}
       122:{1,4,5,7}:{(95,1),(110,1),(147,1),(148,1),(158,1)}
       123:{1,2,5,6,7}:{(96,1),(99,1),(111,1),(146,1),(149,1),(157,1),(208,1)}
       124:{1,2,4,6}:{(96,1),(97,1),(100,1),(147,1),(150,1),(155,1),(191,1),(194,1)}
       125:{3,5,7}:{(97,1),(98,1),(113,1),(150,1)}
       126:{1,3,4,7}:{(98,1),(102,1),(114,1),(151,1),(153,1),(156,1)}
       127:{2,3,4,7}:{(98,1),(115,1),(152,1),(153,1),(196,1),(209,1)}
       128:{2,4,6,7}:{(99,1),(100,1),(116,1),(154,1)}
       129:{3,4,6}:{(100,1),(101,1),(106,1),(150,1),(155,1)}
       130:{1,4,5,7}:{(101,1),(102,1),(107,1),(118,1),(151,1),(155,1)}
       131:{1,2,4,7}:{(102,1),(103,1),(104,1),(120,1),(156,1)}
       132:{3,5,6,7}:{(105,1),(106,1),(154,1),(157,1)}
       133:{1,5,6}:{(106,1),(107,1),(155,1)}
       134:{1,3,5,7}:{(108,1),(109,1),(111,1),(158,1),(162,1)}
       135:{1,4,6}:{(109,1),(110,1),(158,1),(159,1)}
       136:{3,4,5}:{(110,1),(113,1),(159,1),(161,1)}
       137:{1,2,4,5,7}:{(111,1),(112,1),(116,1),(149,1),(158,1),(162,1),(167,1),(188,1),(196,1),(199,1),(208,1)}
       138:{3,5,6}:{(112,1),(113,1),(150,1),(159,1),(162,1)}
       139:{1,3,5}:{(113,1),(114,1),(118,1),(165,1)}
       140:{2,3,5}:{(113,1),(115,1),(161,1),(165,1)}
       141:{1,2,4,6}:{(114,1),(115,1),(153,1),(165,1),(166,1),(194,1),(200,1)}
       142:{3,4,5,7}:{(116,1),(117,1),(154,1),(162,1),(167,1)}
       143:{1,4,5,6}:{(117,1),(118,1),(155,1),(163,1),(167,1)}
       144:{1,2,4,5}:{(118,1),(119,1),(120,1),(165,1),(168,1),(200,1)}
       145:{1,3,6}:{(120,1),(156,1),(168,1)}
       146:{1,3,5,6,7}:{(121,1),(123,1),(134,1),(170,1),(173,1),(201,1)}
       147:{1,4,6}:{(121,1),(122,1),(171,1)}
       148:{3,4,5,7}:{(122,1),(125,1),(136,1),(171,1),(172,1),(179,1),(201,1)}
       149:{1,2,4,6,7}:{(123,1),(124,1),(128,1),(137,1),(170,1),(173,1),(178,1),(203,1),(204,1)}
       150:{3,6}:{(124,1),(125,1)}
       151:{1,3,5,7}:{(125,1),(126,1),(130,1),(139,1),(174,1),(176,1)}
       152:{2,3,5,7}:{(125,1),(127,1),(140,1),(172,1),(175,1),(176,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(141,1),(176,1),(177,1)}
       154:{3,4,6,7}:{(128,1),(129,1),(132,1),(142,1),(173,1),(178,1)}
       155:{1,4,6}:{(129,1),(130,1),(133,1),(174,1)}
       156:{1,3,7}:{(131,1),(145,1)}
       157:{1,5,6,7}:{(132,1),(133,1),(178,1)}
       158:{1,4,7}:{(134,1),(135,1),(179,1)}
       159:{3,4,6}:{(135,1),(136,1),(138,1),(179,1),(181,1)}
       160:{1,3,4,5}:{(136,1),(139,1),(180,1),(182,1),(187,1)}
       161:{2,4,5}:{(136,1),(140,1),(181,1)}
       162:{3,5,7}:{(137,1),(138,1),(173,1),(179,1)}
       163:{1,3,5,6}:{(138,1),(139,1),(143,1),(174,1),(180,1),(183,1),(185,1)}
       164:{2,3,5,6}:{(138,1),(140,1),(175,1),(181,1),(184,1),(185,1),(202,1),(206,1)}
       165:{1,2,5}:{(139,1),(140,1),(141,1)}
       166:{1,2,3,6}:{(141,1),(145,1),(177,1),(186,1),(206,1)}
       167:{1,4,5,7}:{(142,1),(143,1),(178,1),(183,1)}
       168:{1,3,5}:{(144,1),(145,1),(187,1)}
       169:{1,4,5,6}:{(147,1),(188,1),(189,1)}
       170:{1,4,6,7}:{(146,1),(147,1),(158,1),(188,1),(190,1)}
       171:{3,4,6}:{(147,1),(148,1),(150,1),(189,1),(191,1)}
       172:{2,4,5,7}:{(148,1),(152,1),(161,1),(191,1),(196,1),(208,1)}
       173:{3,6,7}:{(149,1),(150,1),(162,1)}
       174:{1,3,6}:{(150,1),(151,1),(155,1),(194,1)}
       175:{2,3,6}:{(150,1),(152,1),(191,1),(194,1)}
       176:{1,2,5,7}:{(151,1),(152,1),(153,1),(165,1),(194,1)}
       177:{1,2,3,7}:{(153,1),(156,1),(166,1),(209,1)}
       178:{1,4,6,7}:{(154,1),(155,1),(157,1),(167,1),(192,1)}
       179:{3,4,7}:{(158,1),(159,1),(162,1),(196,1)}
       180:{1,3,4,6}:{(159,1),(160,1),(163,1),(195,1),(197,1)}
       181:{2,4,6}:{(159,1),(161,1),(164,1),(196,1)}
       182:{1,2,4,5}:{(160,1),(161,1),(165,1),(197,1),(198,1),(200,1)}
       183:{1,3,5,7}:{(162,1),(163,1),(167,1),(192,1),(195,1),(199,1)}
       184:{2,3,5,7}:{(162,1),(164,1),(193,1),(196,1),(199,1),(208,1),(209,1)}
       185:{1,2,5,6}:{(163,1),(164,1),(165,1),(194,1),(197,1),(199,1)}
       186:{1,2,3,5}:{(165,1),(166,1),(168,1),(198,1),(200,1)}
       187:{1,3,4}:{(168,1),(200,1)}
       188:{1,4,5,7}:{(169,1),(170,1),(201,1)}
       189:{3,5,6}:{(169,1),(171,1),(201,1),(202,1)}
       190:{3,4,6,7}:{(170,1),(171,1),(173,1),(179,1),(201,1),(203,1)}
       191:{2,4,6}:{(171,1),(172,1),(175,1),(202,1)}
       192:{1,3,6,7}:{(173,1),(174,1),(178,1),(183,1),(204,1)}
       193:{2,3,6,7}:{(173,1),(175,1),(184,1),(203,1),(204,1)}
       194:{1,2,6}:{(174,1),(175,1),(176,1)}
       195:{1,3,4,7}:{(179,1),(180,1),(183,1),(205,1)}
       196:{2,4,7}:{(179,1),(181,1),(184,1)}
       197:{1,2,4,6}:{(180,1),(181,1),(182,1),(185,1),(205,1),(206,1)}
       198:{2,3,5}:{(182,1),(206,1),(207,1)}
       199:{1,2,5,7}:{(183,1),(184,1),(185,1),(204,1),(205,1)}
       200:{1,2,4}:{(186,1),(187,1),(207,1)}
       201:{3,5,7}:{(188,1),(189,1),(190,1),(208,1)}
       202:{2,5,6}:{(189,1),(191,1),(208,1)}
       203:{2,4,6,7}:{(190,1),(191,1),(193,1),(196,1),(208,1)}
       204:{1,2,6,7}:{(192,1),(193,1),(194,1),(199,1)}
       205:{1,2,4,7}:{(195,1),(196,1),(197,1),(199,1),(209,1)}
       206:{2,3,6}:{(197,1),(198,1),(209,1)}
       207:{2,3,4}:{(198,1),(200,1)}
       208:{2,5,7}:{(201,1),(202,1),(203,1)}
       209:{2,3,7}:{(205,1),(206,1)}

1129 :   0:{2,4,5,6}:{(4,1),(5,1),(30,1),(31,1),(87,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(30,1),(40,1),(85,1),(90,1),(129,1),(144,1)}
         2:{3,4,5}:{(11,1),(13,1),(14,1),(61,1)}
         3:{2,5,6,7}:{(10,1),(15,1),(98,1),(113,1)}
         4:{2,4,5,7}:{(0,1),(15,1),(16,1),(52,1),(55,1),(113,1)}
         5:{3,5,6}:{(0,1),(11,1),(16,1),(17,1)}
         6:{2,3,5}:{(1,1),(14,1),(20,1),(61,1),(153,1),(166,1)}
         7:{2,3,4,7}:{(1,1),(19,1),(21,1),(55,1),(111,1),(115,1),(119,1),(152,1)}
         8:{1,2,4,6}:{(1,1),(20,1),(21,1),(22,1),(66,1),(68,1),(123,1)}
         9:{1,3,4}:{(24,1),(26,1),(90,1)}
        10:{3,5,6,7}:{(3,1),(23,1),(27,1),(36,1),(70,1),(81,1)}
        11:{3,4,6}:{(2,1),(5,1),(28,1),(29,1),(30,1),(85,1)}
        12:{3,4,5,7}:{(2,1),(28,1),(32,1),(33,1),(34,1),(77,1),(81,1),(89,1),(124,1),(180,1),(183,1)}
        13:{1,4,5}:{(2,1),(24,1),(29,1)}
        14:{2,4,5}:{(2,1),(6,1),(30,1),(183,1)}
        15:{2,4,6,7}:{(3,1),(4,1),(27,1),(36,1)}
        16:{3,5,7}:{(4,1),(5,1),(28,1),(36,1),(37,1)}
        17:{1,5,6}:{(5,1),(29,1),(37,1)}
        18:{2,3,5,6}:{(5,1),(6,1),(30,1),(38,1),(39,1),(40,1),(85,1),(87,1),(143,1)}
        19:{2,3,5,7}:{(6,1),(7,1),(34,1),(40,1),(41,1),(89,1),(135,1),(169,1),(173,1)}
        20:{1,2,5}:{(6,1),(8,1),(42,1),(147,1)}
        21:{1,2,4,7}:{(7,1),(8,1),(41,1),(43,1),(95,1),(138,1)}
        22:{1,3,6}:{(8,1),(42,1),(43,1),(85,1)}
        23:{1,5,6,7}:{(10,1),(44,1),(62,1),(112,1)}
        24:{1,3,5}:{(9,1),(13,1),(45,1),(48,1),(61,1)}
        25:{1,3,4,7}:{(9,1),(47,1),(49,1),(50,1),(119,1),(148,1),(186,1),(203,1)}
        26:{1,2,4}:{(9,1),(48,1),(51,1),(106,1)}
        27:{4,6,7}:{(10,1),(52,1)}
        28:{3,4,7}:{(11,1),(16,1),(54,1),(55,1),(115,1)}
        29:{1,4,6}:{(11,1),(13,1),(17,1),(45,1),(54,1)}
        30:{2,4,6}:{(11,1),(14,1),(18,1),(55,1),(165,1)}
        31:{4,5,6}:{(52,1),(57,1),(165,1)}
        32:{3,4,6}:{(12,1),(57,1),(58,1),(59,1),(118,1),(165,1)}
        33:{1,4,5,7}:{(12,1),(13,1),(47,1),(54,1),(58,1),(107,1),(112,1),(148,1)}
        34:{2,4,5,7}:{(12,1),(14,1),(19,1),(55,1),(59,1),(108,1),(113,1),(149,1)}
        35:{1,2,4,5}:{(13,1),(14,1),(20,1),(48,1),(56,1),(61,1),(68,1),(106,1),(122,1),(153,1)}
        36:{3,6,7}:{(15,1),(16,1),(62,1)}
        37:{1,5,7}:{(16,1),(17,1),(54,1),(62,1)}
        38:{2,3,5,7}:{(16,1),(18,1),(55,1),(63,1),(64,1),(113,1),(115,1),(162,1)}
        39:{1,2,5,6}:{(17,1),(18,1),(20,1),(56,1),(64,1),(65,1),(66,1),(153,1),(189,1)}
        40:{2,3,6}:{(19,1),(59,1),(66,1),(118,1),(189,1)}
        41:{1,2,5,7}:{(19,1),(20,1),(21,1),(66,1),(67,1),(158,1),(185,1)}
        42:{1,3,5}:{(20,1),(22,1),(61,1),(68,1)}
        43:{1,3,7}:{(21,1),(22,1),(115,1),(161,1)}
        44:{1,4,6,7}:{(23,1),(27,1),(69,1),(70,1)}
        45:{1,3,6}:{(24,1),(29,1),(71,1),(72,1),(85,1)}
        46:{1,4,5,6}:{(31,1),(69,1),(73,1),(86,1),(130,1)}
        47:{1,3,5,7}:{(24,1),(25,1),(33,1),(71,1),(74,1),(75,1),(78,1),(89,1),(207,1)}
        48:{1,2,5}:{(24,1),(26,1),(72,1),(76,1)}
        49:{1,3,4,6}:{(25,1),(74,1),(78,1),(79,1),(130,1),(144,1),(175,1),(179,1),(200,1)}
        50:{1,2,4,7}:{(25,1),(26,1),(75,1),(79,1),(80,1),(134,1)}
        51:{2,3}:{(26,1)}
        52:{4,5,7}:{(27,1),(31,1),(81,1),(180,1)}
        53:{3,4,6,7}:{(27,1),(28,1),(32,1),(36,1),(70,1),(81,1),(82,1),(83,1),(124,1),(140,1),(180,1)}
        54:{1,4,7}:{(28,1),(29,1),(37,1),(71,1)}
        55:{2,4,7}:{(28,1),(30,1),(38,1),(180,1)}
        56:{1,2,4,6}:{(29,1),(30,1),(35,1),(39,1),(72,1),(84,1),(85,1),(93,1),(129,1)}
        57:{3,5,6}:{(31,1),(32,1),(81,1),(86,1),(87,1)}
        58:{1,4,6}:{(32,1),(33,1),(74,1),(86,1)}
        59:{2,4,6}:{(32,1),(34,1),(40,1),(87,1)}
        60:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(41,1),(75,1),(84,1),(88,1),(89,1),(95,1),(134,1),(136,1),(139,1),(146,1),(147,1),(170,1),(173,1),(177,1),(180,1),(183,1),(198,1),(207,1)}
        61:{3,5}:{(35,1),(85,1),(90,1)}
        62:{1,6,7}:{(36,1),(37,1)}
        63:{2,3,6,7}:{(36,1),(38,1),(40,1),(83,1),(91,1),(140,1),(169,1)}
        64:{1,2,5,7}:{(37,1),(38,1),(39,1),(84,1),(91,1),(92,1),(173,1)}
        65:{1,3,5,6}:{(39,1),(42,1),(85,1),(92,1),(93,1),(94,1),(142,1),(143,1),(147,1),(182,1),(184,1)}
        66:{1,2,6}:{(40,1),(41,1),(94,1)}
        67:{1,3,5,7}:{(41,1),(42,1),(43,1),(89,1),(94,1),(95,1),(147,1),(178,1),(196,1),(207,1)}
        68:{1,4}:{(42,1),(90,1)}
        69:{1,4,5,7}:{(44,1),(46,1),(52,1),(96,1),(112,1),(148,1)}
        70:{3,6,7}:{(44,1),(96,1),(98,1)}
        71:{1,3,7}:{(45,1),(54,1),(99,1),(115,1)}
        72:{1,2,6}:{(45,1),(48,1),(99,1),(100,1)}
        73:{3,5,6}:{(46,1),(96,1),(101,1),(103,1)}
        74:{1,3,6}:{(47,1),(58,1),(104,1),(118,1),(209,1)}
        75:{1,2,5,7}:{(47,1),(48,1),(50,1),(99,1),(104,1),(105,1),(109,1)}
        76:{2,3,5}:{(48,1),(51,1),(61,1),(100,1),(106,1),(153,1)}
        77:{3,4,5}:{(101,1),(107,1),(108,1),(159,1)}
        78:{1,3,5}:{(49,1),(107,1),(109,1),(159,1),(166,1),(206,1)}
        79:{1,2,4,6}:{(49,1),(50,1),(104,1),(109,1),(110,1),(157,1),(160,1)}
        80:{2,3,7}:{(50,1),(51,1),(110,1),(186,1)}
        81:{3,5,7}:{(52,1),(53,1),(57,1),(112,1),(113,1)}
        82:{1,4,6,7}:{(53,1),(54,1),(58,1),(62,1),(97,1),(112,1),(148,1)}
        83:{2,4,6,7}:{(53,1),(55,1),(59,1),(63,1),(98,1),(113,1),(149,1)}
        84:{1,2,4,7}:{(54,1),(55,1),(56,1),(64,1),(99,1),(115,1),(121,1),(152,1)}
        85:{3,6}:{(56,1),(61,1),(115,1)}
        86:{1,5,6}:{(57,1),(58,1),(112,1)}
        87:{2,5,6}:{(57,1),(59,1),(113,1)}
        88:{1,2,4,6}:{(58,1),(59,1),(60,1),(66,1),(104,1),(117,1),(118,1),(123,1),(157,1),(165,1),(168,1),(189,1),(205,1),(209,1)}
        89:{3,5,7}:{(60,1),(61,1),(115,1),(118,1),(119,1),(159,1),(166,1),(186,1)}
        90:{3,4}:{(61,1),(68,1),(106,1)}
        91:{1,2,6,7}:{(62,1),(63,1),(64,1),(66,1),(120,1),(185,1),(189,1)}
        92:{1,3,5,7}:{(64,1),(65,1),(115,1),(120,1),(121,1),(162,1),(164,1),(167,1)}
        93:{1,4,6}:{(65,1),(68,1),(116,1),(121,1),(122,1),(165,1)}
        94:{1,3,6}:{(66,1),(67,1),(118,1),(123,1),(209,1)}
        95:{1,4,7}:{(67,1),(68,1),(119,1),(123,1),(193,1)}
        96:{3,5,7}:{(69,1),(70,1),(73,1),(124,1),(126,1)}
        97:{1,3,6,7}:{(70,1),(71,1),(74,1),(82,1),(125,1),(127,1),(140,1)}
        98:{2,6,7}:{(70,1),(126,1)}
        99:{1,2,7}:{(71,1),(72,1),(128,1)}
       100:{2,3,6}:{(72,1),(76,1),(85,1),(128,1),(129,1)}
       101:{3,4,6}:{(73,1),(77,1),(124,1),(130,1),(131,1),(175,1)}
       102:{1,3,5,6}:{(73,1),(74,1),(78,1),(86,1),(125,1),(130,1),(132,1),(143,1),(175,1)}
       103:{2,5,6}:{(73,1),(126,1),(131,1)}
       104:{1,2,6}:{(74,1),(75,1),(133,1)}
       105:{2,3,5,7}:{(75,1),(76,1),(80,1),(89,1),(128,1),(133,1),(134,1),(137,1),(173,1),(177,1)}
       106:{2,4}:{(76,1),(90,1)}
       107:{1,4,5}:{(77,1),(78,1),(130,1),(183,1)}
       108:{2,4,5}:{(77,1),(131,1),(135,1)}
       109:{1,2,5}:{(78,1),(79,1),(137,1),(177,1)}
       110:{2,3,6}:{(79,1),(80,1),(137,1),(175,1)}
       111:{2,3,4}:{(135,1),(138,1),(179,1)}
       112:{1,5,7}:{(81,1),(82,1),(86,1)}
       113:{2,5,7}:{(81,1),(83,1),(87,1)}
       114:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(88,1),(91,1),(127,1),(139,1),(140,1),(145,1),(170,1),(172,1),(180,1)}
       115:{3,7}:{(84,1),(85,1)}
       116:{3,4,6}:{(85,1),(90,1),(93,1),(129,1),(141,1),(142,1),(182,1)}
       117:{1,2,5,6}:{(86,1),(87,1),(88,1),(139,1),(143,1),(147,1),(177,1),(184,1),(199,1)}
       118:{3,6}:{(88,1),(89,1)}
       119:{3,4,7}:{(89,1),(90,1),(95,1),(134,1),(144,1),(179,1),(180,1)}
       120:{1,3,6,7}:{(91,1),(92,1),(94,1),(140,1),(145,1),(182,1),(196,1)}
       121:{1,4,7}:{(92,1),(93,1),(141,1),(180,1)}
       122:{1,4,5}:{(93,1),(142,1),(147,1),(183,1)}
       123:{1,4,6}:{(94,1),(95,1),(144,1),(147,1)}
       124:{3,4,7}:{(96,1),(101,1),(148,1),(149,1),(186,1)}
       125:{1,3,5,7}:{(96,1),(97,1),(102,1),(112,1),(148,1),(150,1),(162,1),(186,1)}
       126:{2,5,7}:{(96,1),(98,1),(103,1),(149,1)}
       127:{1,2,6,7}:{(97,1),(98,1),(99,1),(104,1),(150,1),(151,1),(209,1)}
       128:{2,3,7}:{(99,1),(100,1),(115,1),(152,1)}
       129:{2,4,6}:{(100,1),(106,1),(116,1),(152,1),(153,1),(189,1)}
       130:{1,4,6}:{(101,1),(102,1),(107,1),(148,1),(165,1)}
       131:{2,4,6}:{(101,1),(103,1),(108,1),(149,1),(154,1)}
       132:{1,2,5,6}:{(102,1),(103,1),(104,1),(109,1),(150,1),(155,1),(156,1),(206,1),(209,1)}
       133:{2,3,6}:{(104,1),(105,1),(118,1),(157,1),(189,1)}
       134:{2,4,7}:{(105,1),(106,1),(119,1),(157,1),(160,1)}
       135:{2,3,5}:{(108,1),(111,1),(154,1),(158,1),(159,1)}
       136:{1,2,4,5}:{(107,1),(108,1),(109,1),(155,1),(158,1),(159,1),(160,1),(192,1),(193,1),(206,1)}
       137:{2,3,5}:{(109,1),(110,1),(159,1),(160,1)}
       138:{1,2,4}:{(111,1),(158,1),(161,1),(193,1)}
       139:{1,2,5,7}:{(112,1),(113,1),(114,1),(117,1),(162,1),(167,1),(188,1)}
       140:{3,6,7}:{(114,1),(115,1),(118,1),(162,1),(186,1)}
       141:{3,4,7}:{(115,1),(116,1),(121,1),(152,1),(164,1)}
       142:{3,5}:{(116,1),(122,1),(153,1)}
       143:{3,5,6}:{(117,1),(118,1),(162,1),(165,1),(166,1)}
       144:{3,4,6}:{(118,1),(119,1),(123,1),(157,1),(165,1),(166,1)}
       145:{1,4,6,7}:{(120,1),(121,1),(123,1),(163,1),(167,1),(168,1),(203,1),(209,1)}
       146:{1,4,5,7}:{(121,1),(122,1),(164,1),(167,1),(168,1),(194,1)}
       147:{1,5}:{(123,1),(166,1)}
       148:{1,4,7}:{(124,1),(125,1),(130,1),(180,1)}
       149:{2,4,7}:{(124,1),(126,1),(131,1),(169,1)}
       150:{1,2,5,7}:{(125,1),(126,1),(127,1),(132,1),(170,1),(171,1),(207,1)}
       151:{2,3,6,7}:{(127,1),(128,1),(133,1),(140,1),(171,1),(172,1),(208,1)}
       152:{2,4,7}:{(128,1),(129,1),(141,1),(173,1)}
       153:{2,5}:{(129,1),(142,1)}
       154:{2,3,6}:{(131,1),(135,1),(169,1),(174,1),(175,1)}
       155:{1,2,4,6}:{(130,1),(131,1),(132,1),(136,1),(170,1),(174,1),(175,1),(176,1),(200,1)}
       156:{2,3,5,6}:{(132,1),(133,1),(137,1),(143,1),(171,1),(175,1),(176,1),(177,1),(199,1),(201,1),(208,1)}
       157:{2,4,6}:{(133,1),(134,1),(144,1),(177,1)}
       158:{1,2,5}:{(135,1),(138,1),(174,1),(178,1)}
       159:{3,5}:{(136,1),(175,1),(179,1)}
       160:{2,4}:{(137,1),(179,1)}
       161:{1,3}:{(138,1)}
       162:{3,5,7}:{(139,1),(140,1),(143,1),(180,1)}
       163:{3,4,6,7}:{(140,1),(141,1),(144,1),(145,1),(172,1),(180,1),(181,1),(182,1),(197,1),(202,1),(208,1)}
       164:{3,5,7}:{(141,1),(142,1),(146,1),(173,1),(182,1)}
       165:{4,6}:{(143,1),(180,1),(183,1)}
       166:{3,5}:{(144,1),(147,1),(177,1),(183,1)}
       167:{1,5,7}:{(145,1),(147,1),(181,1),(184,1)}
       168:{1,4,6}:{(146,1),(182,1),(184,1),(202,1)}
       169:{2,3,7}:{(149,1),(154,1),(185,1),(186,1)}
       170:{1,2,4,7}:{(148,1),(149,1),(150,1),(155,1),(185,1),(186,1),(187,1),(203,1)}
       171:{2,3,5,7}:{(150,1),(151,1),(156,1),(162,1),(186,1),(187,1),(188,1),(204,1)}
       172:{2,4,6,7}:{(151,1),(152,1),(157,1),(163,1),(187,1),(188,1),(189,1),(205,1)}
       173:{2,5,7}:{(152,1),(153,1),(164,1),(189,1)}
       174:{1,2,6}:{(154,1),(158,1),(185,1),(190,1)}
       175:{3,6}:{(155,1),(159,1),(186,1)}
       176:{2,4,6}:{(156,1),(160,1),(165,1),(187,1),(191,1),(192,1)}
       177:{2,5}:{(157,1),(166,1)}
       178:{1,3,5}:{(158,1),(159,1),(161,1),(190,1),(193,1),(206,1)}
       179:{3,4}:{(159,1),(160,1),(193,1)}
       180:{4,7}:{(162,1),(165,1)}
       181:{3,5,7}:{(163,1),(166,1),(167,1),(188,1),(194,1),(195,1)}
       182:{3,6}:{(164,1),(168,1),(189,1)}
       183:{4,5}:{(165,1),(166,1)}
       184:{1,5,6}:{(167,1),(168,1),(195,1),(209,1)}
       185:{1,2,7}:{(169,1),(174,1),(196,1)}
       186:{3,7}:{(170,1),(175,1)}
       187:{2,4,7}:{(171,1),(176,1),(180,1),(197,1)}
       188:{2,5,7}:{(172,1),(177,1),(181,1),(199,1)}
       189:{2,6}:{(173,1),(182,1)}
       190:{1,3,6}:{(174,1),(175,1),(178,1),(196,1),(200,1)}
       191:{3,4,6}:{(175,1),(176,1),(179,1),(197,1),(200,1),(201,1),(208,1)}
       192:{2,4,5}:{(176,1),(177,1),(183,1),(201,1)}
       193:{1,4}:{(178,1),(179,1)}
       194:{4,5,7}:{(180,1),(181,1),(183,1),(202,1)}
       195:{3,5,6}:{(181,1),(182,1),(184,1),(199,1),(202,1),(208,1)}
       196:{1,3,7}:{(185,1),(186,1),(190,1),(203,1)}
       197:{3,4,7}:{(186,1),(187,1),(191,1),(203,1),(204,1)}
       198:{2,4,5,7}:{(187,1),(188,1),(192,1),(194,1),(204,1),(205,1)}
       199:{2,5,6}:{(188,1),(189,1),(195,1),(205,1)}
       200:{1,4,6}:{(190,1),(191,1),(193,1),(203,1),(206,1),(209,1)}
       201:{3,5}:{(191,1),(192,1),(206,1)}
       202:{4,6}:{(194,1),(195,1)}
       203:{1,4,7}:{(196,1),(197,1),(200,1),(207,1)}
       204:{3,5,7}:{(197,1),(198,1),(201,1),(207,1),(208,1)}
       205:{2,4,6}:{(198,1),(199,1),(202,1),(208,1)}
       206:{1,5}:{(200,1),(201,1)}
       207:{1,5,7}:{(203,1),(204,1),(206,1),(209,1)}
       208:{3,6}:{(204,1),(205,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

1130 :   0:{1,2,3,6}:{(3,1),(5,1),(6,1),(78,1),(86,1)}
         1:{2,3,4,6}:{(5,1),(7,1),(8,1),(31,1),(35,1),(46,1),(86,1),(88,1)}
         2:{2,4,5,6}:{(9,1),(10,1),(35,1),(93,1),(97,1)}
         3:{1,2,3,5}:{(0,1),(11,1),(13,1),(20,1),(51,1),(57,1)}
         4:{3,4,5}:{(15,1),(16,1),(17,1),(57,1)}
         5:{1,2,4,6}:{(0,1),(1,1),(13,1),(19,1),(20,1),(21,1),(72,1)}
         6:{1,2,3,7}:{(0,1),(21,1),(109,1),(118,1),(210,1)}
         7:{2,3,5}:{(1,1),(15,1),(20,1),(57,1),(120,1)}
         8:{2,3,4,7}:{(1,1),(21,1),(23,1),(58,1),(62,1),(118,1),(167,1)}
         9:{3,5,6}:{(2,1),(17,1),(24,1),(25,1)}
        10:{2,4,5,7}:{(2,1),(25,1),(26,1),(62,1),(123,1),(126,1)}
        11:{1,2,3}:{(27,1)}
        12:{1,3,4}:{(27,1),(29,1),(31,1)}
        13:{1,2,4}:{(3,1),(31,1)}
        14:{1,2,3,5,7}:{(3,1),(6,1),(28,1),(33,1),(34,1),(44,1),(79,1),(81,1),(87,1),(91,1)}
        15:{2,4,5}:{(4,1),(7,1),(35,1),(149,1)}
        16:{1,4,5}:{(4,1),(29,1),(37,1)}
        17:{3,4,6}:{(4,1),(9,1),(35,1),(37,1),(39,1),(86,1)}
        18:{3,4,5,7}:{(4,1),(36,1),(38,1),(39,1),(40,1),(87,1),(96,1),(143,1),(149,1),(192,1),(197,1)}
        19:{1,3,4,6}:{(5,1),(31,1),(41,1),(42,1),(86,1),(88,1),(98,1),(101,1)}
        20:{1,2,5}:{(5,1),(7,1),(41,1)}
        21:{1,2,4,7}:{(5,1),(6,1),(8,1),(42,1),(44,1),(191,1)}
        22:{2,3,5,6}:{(7,1),(9,1),(35,1),(43,1),(45,1),(46,1),(86,1),(93,1),(148,1)}
        23:{2,3,5,7}:{(7,1),(8,1),(36,1),(44,1),(46,1),(87,1),(190,1),(220,1)}
        24:{1,5,6}:{(9,1),(37,1),(47,1)}
        25:{3,5,7}:{(9,1),(10,1),(39,1),(47,1),(48,1)}
        26:{2,4,6,7}:{(10,1),(48,1),(49,1),(104,1)}
        27:{1,2,4}:{(11,1),(12,1),(50,1),(51,1)}
        28:{1,2,3,7}:{(11,1),(52,1),(53,1),(206,1),(227,1)}
        29:{1,3,5}:{(12,1),(16,1),(51,1),(54,1),(57,1)}
        30:{1,3,4,7}:{(12,1),(52,1),(55,1),(56,1),(58,1),(168,1),(206,1)}
        31:{3,4}:{(13,1),(57,1)}
        32:{1,2,4,5}:{(13,1),(15,1),(16,1),(20,1),(51,1),(57,1),(59,1),(68,1),(105,1)}
        33:{1,2,4,7}:{(13,1),(14,1),(58,1),(61,1),(112,1)}
        34:{1,2,3,6}:{(14,1),(61,1),(72,1),(110,1),(119,1)}
        35:{2,4,6}:{(15,1),(17,1),(22,1),(62,1),(175,1)}
        36:{2,4,5,7}:{(15,1),(18,1),(23,1),(62,1),(63,1),(123,1),(170,1),(211,1)}
        37:{1,4,6}:{(16,1),(17,1),(24,1),(54,1),(64,1)}
        38:{1,4,5,7}:{(16,1),(18,1),(55,1),(64,1),(65,1),(115,1),(124,1),(168,1)}
        39:{3,4,7}:{(17,1),(25,1),(62,1),(64,1),(118,1)}
        40:{3,4,6}:{(18,1),(63,1),(65,1),(67,1),(119,1),(175,1)}
        41:{1,3,5}:{(19,1),(20,1),(57,1),(68,1),(120,1)}
        42:{1,3,4,7}:{(19,1),(21,1),(58,1),(70,1),(118,1),(128,1),(166,1)}
        43:{1,2,5,6}:{(20,1),(22,1),(24,1),(59,1),(69,1),(71,1),(72,1),(157,1)}
        44:{1,2,5,7}:{(20,1),(21,1),(23,1),(70,1),(72,1),(209,1),(227,1)}
        45:{2,3,5,7}:{(22,1),(25,1),(62,1),(71,1),(73,1),(118,1),(123,1),(174,1)}
        46:{2,3,6}:{(23,1),(63,1),(72,1),(119,1)}
        47:{1,5,7}:{(24,1),(25,1),(64,1),(74,1)}
        48:{3,6,7}:{(25,1),(26,1),(74,1)}
        49:{2,5,6,7}:{(26,1),(75,1),(123,1),(180,1)}
        50:{2,3,4}:{(27,1),(31,1),(76,1)}
        51:{1,2,5}:{(27,1),(29,1),(76,1),(78,1)}
        52:{1,2,4,7}:{(27,1),(28,1),(30,1),(77,1),(79,1),(80,1)}
        53:{1,2,3,6}:{(28,1),(80,1),(81,1),(188,1),(221,1)}
        54:{1,3,6}:{(29,1),(37,1),(78,1),(82,1),(86,1)}
        55:{1,3,5,7}:{(29,1),(30,1),(38,1),(79,1),(82,1),(83,1),(84,1),(87,1)}
        56:{1,3,4,6}:{(30,1),(80,1),(83,1),(84,1),(88,1),(140,1),(142,1),(188,1)}
        57:{3,5}:{(31,1),(32,1),(86,1)}
        58:{3,4,7}:{(31,1),(33,1),(87,1),(88,1),(140,1),(197,1)}
        59:{1,2,4,6}:{(32,1),(35,1),(37,1),(43,1),(78,1),(86,1),(89,1),(98,1),(132,1)}
        60:{1,2,4,5,7}:{(32,1),(33,1),(36,1),(38,1),(44,1),(79,1),(87,1),(89,1),(90,1),(91,1),(99,1),(133,1),(139,1),(149,1),(150,1),(187,1),(197,1)}
        61:{1,2,4,6}:{(33,1),(34,1),(88,1),(91,1)}
        62:{2,4,7}:{(35,1),(39,1),(45,1),(197,1)}
        63:{2,4,6}:{(36,1),(40,1),(46,1),(93,1)}
        64:{1,4,7}:{(37,1),(39,1),(47,1),(82,1)}
        65:{1,4,6}:{(38,1),(40,1),(83,1),(95,1)}
        66:{3,4,6,7}:{(39,1),(40,1),(48,1),(92,1),(94,1),(96,1),(104,1),(147,1),(156,1),(192,1),(197,1)}
        67:{3,5,6}:{(40,1),(93,1),(95,1),(96,1),(97,1)}
        68:{1,4,5}:{(41,1),(85,1),(98,1),(149,1)}
        69:{1,3,5,6}:{(41,1),(43,1),(86,1),(98,1),(100,1),(101,1),(144,1),(148,1),(155,1)}
        70:{1,3,5,7}:{(41,1),(42,1),(44,1),(87,1),(99,1),(101,1),(189,1),(219,1)}
        71:{1,2,5,7}:{(43,1),(45,1),(47,1),(89,1),(100,1),(102,1),(181,1)}
        72:{1,2,6}:{(44,1),(46,1),(101,1)}
        73:{2,3,6,7}:{(45,1),(46,1),(48,1),(92,1),(102,1),(147,1),(220,1)}
        74:{1,6,7}:{(47,1),(48,1)}
        75:{3,5,6,7}:{(48,1),(49,1),(96,1),(103,1),(104,1),(156,1)}
        76:{2,3,5}:{(50,1),(51,1),(57,1),(105,1),(106,1)}
        77:{2,3,4,7}:{(50,1),(52,1),(58,1),(107,1),(108,1),(203,1),(206,1)}
        78:{1,2,6}:{(51,1),(54,1),(106,1),(109,1)}
        79:{1,2,5,7}:{(51,1),(52,1),(55,1),(107,1),(109,1),(110,1),(111,1)}
        80:{1,2,4,6}:{(52,1),(53,1),(56,1),(108,1),(110,1),(111,1),(112,1)}
        81:{1,2,3,5}:{(53,1),(111,1),(112,1),(165,1),(209,1),(210,1)}
        82:{1,3,7}:{(54,1),(64,1),(109,1),(118,1)}
        83:{1,3,6}:{(55,1),(65,1),(110,1),(119,1)}
        84:{1,3,5}:{(56,1),(111,1),(115,1),(120,1),(165,1)}
        85:{3,4,5}:{(57,1),(68,1),(105,1),(116,1)}
        86:{3,6}:{(57,1),(59,1),(118,1)}
        87:{3,5,7}:{(57,1),(58,1),(60,1),(118,1),(119,1),(120,1),(165,1),(206,1)}
        88:{3,4,6}:{(58,1),(61,1),(119,1),(120,1),(175,1)}
        89:{1,2,4,7}:{(59,1),(62,1),(64,1),(71,1),(109,1),(118,1),(128,1),(158,1)}
        90:{1,2,4,6}:{(60,1),(63,1),(65,1),(72,1),(110,1),(119,1),(122,1),(129,1),(159,1),(175,1)}
        91:{1,2,5}:{(61,1),(120,1)}
        92:{2,4,6,7}:{(62,1),(63,1),(66,1),(73,1),(123,1),(180,1),(211,1)}
        93:{2,5,6}:{(63,1),(67,1),(123,1)}
        94:{1,4,6,7}:{(64,1),(65,1),(66,1),(74,1),(113,1),(124,1),(168,1)}
        95:{1,5,6}:{(65,1),(67,1),(124,1)}
        96:{3,5,7}:{(66,1),(67,1),(123,1),(124,1),(126,1)}
        97:{4,5,6}:{(67,1),(126,1),(175,1)}
        98:{1,4,6}:{(68,1),(69,1),(116,1),(128,1),(175,1)}
        99:{1,4,5,7}:{(68,1),(70,1),(117,1),(128,1),(129,1),(179,1),(205,1),(226,1)}
       100:{1,3,5,7}:{(69,1),(71,1),(118,1),(128,1),(130,1),(171,1),(174,1),(179,1)}
       101:{1,3,6}:{(70,1),(72,1),(119,1),(129,1)}
       102:{1,2,6,7}:{(71,1),(72,1),(73,1),(74,1),(130,1),(200,1),(227,1)}
       103:{1,5,6,7}:{(74,1),(75,1),(124,1),(131,1)}
       104:{4,6,7}:{(75,1),(126,1)}
       105:{2,4,5}:{(76,1),(85,1),(132,1)}
       106:{2,3,6}:{(76,1),(78,1),(86,1),(132,1),(134,1)}
       107:{2,3,5,7}:{(76,1),(77,1),(79,1),(87,1),(133,1),(134,1),(135,1),(136,1)}
       108:{2,3,4,6}:{(77,1),(80,1),(88,1),(135,1),(136,1),(140,1),(185,1),(188,1)}
       109:{1,2,7}:{(78,1),(82,1),(134,1)}
       110:{1,2,6}:{(79,1),(83,1),(135,1)}
       111:{1,2,5}:{(80,1),(84,1),(136,1)}
       112:{1,2,4}:{(81,1),(140,1)}
       113:{1,3,6,7}:{(82,1),(83,1),(94,1),(137,1),(141,1),(147,1),(156,1)}
       114:{1,3,5,6}:{(83,1),(84,1),(95,1),(138,1),(141,1),(142,1),(148,1),(152,1),(188,1)}
       115:{1,4,5}:{(84,1),(142,1),(143,1),(149,1)}
       116:{3,4,6}:{(85,1),(86,1),(98,1),(132,1),(144,1),(145,1)}
       117:{3,4,5,7}:{(85,1),(87,1),(99,1),(133,1),(145,1),(146,1),(149,1),(186,1),(195,1),(197,1),(217,1)}
       118:{3,7}:{(86,1),(89,1)}
       119:{3,6}:{(87,1),(90,1)}
       120:{3,5}:{(88,1),(91,1),(149,1)}
       121:{1,2,4,6,7}:{(89,1),(90,1),(92,1),(94,1),(102,1),(137,1),(147,1),(150,1),(154,1),(182,1),(187,1),(197,1)}
       122:{1,2,5,6}:{(90,1),(91,1),(93,1),(95,1),(148,1),(150,1),(155,1),(183,1)}
       123:{2,5,7}:{(92,1),(93,1),(96,1)}
       124:{1,5,7}:{(94,1),(95,1),(96,1)}
       125:{1,4,5,6}:{(95,1),(97,1),(142,1),(151,1),(152,1)}
       126:{4,5,7}:{(96,1),(97,1),(104,1),(197,1)}
       127:{1,4,5,6}:{(98,1),(144,1),(153,1),(155,1),(196,1)}
       128:{1,4,7}:{(98,1),(100,1),(145,1),(197,1)}
       129:{1,4,6}:{(99,1),(101,1),(146,1),(155,1)}
       130:{1,3,6,7}:{(100,1),(101,1),(102,1),(147,1),(154,1),(194,1),(219,1)}
       131:{1,4,6,7}:{(103,1),(104,1),(151,1),(156,1)}
       132:{2,4,6}:{(105,1),(106,1),(116,1),(157,1),(158,1)}
       133:{2,4,5,7}:{(105,1),(107,1),(117,1),(158,1),(159,1),(162,1),(201,1),(203,1)}
       134:{2,3,7}:{(106,1),(109,1),(118,1),(158,1)}
       135:{2,3,6}:{(107,1),(110,1),(119,1),(159,1)}
       136:{2,3,5}:{(108,1),(111,1),(120,1),(162,1),(165,1)}
       137:{1,2,6,7}:{(109,1),(110,1),(113,1),(160,1),(163,1),(180,1),(230,1)}
       138:{1,2,5,6}:{(110,1),(111,1),(114,1),(161,1),(163,1),(164,1),(177,1),(225,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(115,1),(162,1),(164,1),(165,1),(170,1),(205,1),(209,1)}
       140:{3,4}:{(112,1),(165,1)}
       141:{1,3,5,7}:{(113,1),(114,1),(124,1),(163,1),(168,1),(174,1),(176,1),(206,1)}
       142:{1,4,6}:{(114,1),(115,1),(168,1),(169,1),(175,1)}
       143:{3,4,5}:{(115,1),(165,1),(169,1),(170,1)}
       144:{3,5,6}:{(116,1),(127,1),(157,1),(171,1)}
       145:{3,4,7}:{(116,1),(118,1),(128,1),(158,1),(171,1)}
       146:{3,4,6}:{(117,1),(119,1),(129,1),(159,1),(173,1),(175,1)}
       147:{3,6,7}:{(118,1),(119,1),(121,1),(174,1),(206,1)}
       148:{3,5,6}:{(119,1),(120,1),(122,1),(174,1),(175,1)}
       149:{4,5}:{(120,1),(175,1)}
       150:{1,2,5,7}:{(121,1),(122,1),(123,1),(124,1),(174,1),(179,1),(201,1)}
       151:{1,4,5,7}:{(124,1),(125,1),(126,1),(131,1),(168,1),(176,1)}
       152:{3,5,6}:{(125,1),(169,1),(176,1),(177,1)}
       153:{1,4,5,7}:{(127,1),(128,1),(171,1),(178,1),(179,1),(213,1)}
       154:{1,4,6,7}:{(128,1),(129,1),(130,1),(172,1),(179,1),(226,1),(230,1)}
       155:{1,5,6}:{(129,1),(173,1),(179,1)}
       156:{3,6,7}:{(131,1),(176,1),(180,1)}
       157:{2,5,6}:{(132,1),(144,1),(181,1)}
       158:{2,4,7}:{(132,1),(134,1),(145,1),(181,1)}
       159:{2,4,6}:{(133,1),(135,1),(146,1),(183,1)}
       160:{2,3,6,7}:{(134,1),(135,1),(137,1),(147,1),(182,1),(184,1),(228,1)}
       161:{2,3,5,6}:{(135,1),(136,1),(138,1),(148,1),(183,1),(184,1),(185,1),(188,1),(216,1)}
       162:{2,4,5}:{(136,1),(149,1),(185,1),(186,1)}
       163:{1,2,5,7}:{(137,1),(138,1),(141,1),(184,1),(187,1),(198,1),(229,1)}
       164:{1,2,4,6}:{(138,1),(139,1),(142,1),(185,1),(187,1),(188,1),(193,1),(218,1),(221,1)}
       165:{3,5}:{(139,1),(140,1),(188,1)}
       166:{1,3,4}:{(140,1),(189,1),(191,1)}
       167:{2,3,4}:{(140,1),(190,1),(191,1)}
       168:{1,4,7}:{(141,1),(142,1),(192,1),(197,1)}
       169:{3,4,6}:{(142,1),(143,1),(152,1),(188,1),(192,1),(193,1)}
       170:{2,4,5}:{(143,1),(190,1),(193,1)}
       171:{3,5,7}:{(144,1),(145,1),(153,1),(181,1),(194,1)}
       172:{3,4,6,7}:{(145,1),(146,1),(147,1),(154,1),(182,1),(194,1),(195,1),(197,1),(217,1),(222,1),(228,1)}
       173:{3,5,6}:{(146,1),(155,1),(183,1),(195,1),(196,1)}
       174:{3,5,7}:{(147,1),(148,1),(150,1),(197,1)}
       175:{4,6}:{(148,1),(149,1),(197,1)}
       176:{3,5,7}:{(151,1),(152,1),(156,1),(192,1),(198,1)}
       177:{2,5,6}:{(152,1),(193,1),(198,1)}
       178:{1,4,6,7}:{(153,1),(194,1),(199,1),(222,1)}
       179:{1,5,7}:{(154,1),(155,1),(195,1)}
       180:{2,6,7}:{(156,1),(198,1)}
       181:{2,5,7}:{(157,1),(158,1),(171,1),(200,1)}
       182:{2,4,6,7}:{(158,1),(159,1),(160,1),(172,1),(200,1),(201,1),(203,1)}
       183:{2,5,6}:{(159,1),(173,1),(201,1)}
       184:{2,3,5,7}:{(160,1),(161,1),(163,1),(174,1),(201,1),(203,1),(206,1),(224,1)}
       185:{2,4,6}:{(161,1),(162,1),(175,1),(203,1),(204,1)}
       186:{3,4,5}:{(162,1),(165,1),(204,1),(205,1)}
       187:{1,2,4,7}:{(163,1),(164,1),(168,1),(203,1),(206,1),(211,1),(226,1),(227,1)}
       188:{3,6}:{(164,1),(165,1),(206,1)}
       189:{1,3,5}:{(165,1),(166,1),(205,1),(207,1),(209,1)}
       190:{2,3,5}:{(165,1),(167,1),(170,1),(208,1),(209,1)}
       191:{1,2,4}:{(166,1),(167,1),(209,1),(210,1)}
       192:{3,4,7}:{(168,1),(169,1),(176,1),(206,1),(211,1)}
       193:{2,4,6}:{(169,1),(170,1),(177,1),(208,1),(211,1)}
       194:{3,6,7}:{(171,1),(178,1),(200,1)}
       195:{3,5,7}:{(172,1),(173,1),(179,1),(201,1),(213,1)}
       196:{4,5,6}:{(173,1),(175,1),(213,1)}
       197:{4,7}:{(174,1),(175,1)}
       198:{2,5,7}:{(176,1),(177,1),(180,1),(211,1)}
       199:{1,5,6,7}:{(178,1),(179,1),(212,1),(230,1)}
       200:{2,6,7}:{(181,1),(194,1)}
       201:{2,5,7}:{(182,1),(183,1),(195,1)}
       202:{2,4,5,6}:{(183,1),(185,1),(196,1),(215,1),(216,1)}
       203:{2,4,7}:{(184,1),(185,1),(197,1),(217,1)}
       204:{3,4,6}:{(185,1),(186,1),(188,1),(216,1),(217,1),(218,1)}
       205:{1,4,5}:{(186,1),(189,1),(218,1)}
       206:{3,7}:{(187,1),(188,1)}
       207:{1,3,6}:{(188,1),(189,1),(218,1),(219,1),(221,1)}
       208:{2,3,6}:{(188,1),(190,1),(193,1),(220,1),(221,1)}
       209:{1,2,5}:{(189,1),(190,1),(191,1),(221,1)}
       210:{1,2,3}:{(191,1)}
       211:{2,4,7}:{(192,1),(193,1),(198,1),(220,1)}
       212:{3,5,6,7}:{(194,1),(195,1),(199,1),(214,1),(222,1),(228,1)}
       213:{4,5,7}:{(195,1),(196,1),(197,1),(222,1)}
       214:{2,5,6,7}:{(200,1),(201,1),(212,1),(223,1)}
       215:{2,4,5,7}:{(201,1),(202,1),(203,1),(213,1),(223,1),(224,1)}
       216:{3,5,6}:{(202,1),(204,1),(224,1),(225,1)}
       217:{3,4,7}:{(203,1),(204,1),(206,1),(224,1),(226,1)}
       218:{1,4,6}:{(204,1),(205,1),(207,1),(225,1),(226,1)}
       219:{1,3,7}:{(206,1),(207,1),(226,1),(227,1)}
       220:{2,3,7}:{(206,1),(208,1),(211,1),(227,1)}
       221:{1,2,6}:{(207,1),(208,1),(209,1),(227,1)}
       222:{4,6,7}:{(212,1),(213,1)}
       223:{2,4,6,7}:{(214,1),(215,1),(222,1),(228,1)}
       224:{3,5,7}:{(215,1),(216,1),(217,1),(228,1),(229,1)}
       225:{1,5,6}:{(216,1),(218,1),(229,1)}
       226:{1,4,7}:{(217,1),(218,1),(219,1),(229,1)}
       227:{1,2,7}:{(219,1),(220,1),(221,1)}
       228:{3,6,7}:{(223,1),(224,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(226,1),(230,1)}
       230:{1,6,7}:{(228,1),(229,1)}

1131 :   0:{2,5,6,7}:{(2,1),(4,1),(80,1),(92,1)}
         1:{2,3,4,7}:{(6,1),(7,1),(8,1),(90,1),(96,1),(98,1),(153,1),(189,1)}
         2:{3,5,6,7}:{(0,1),(9,1),(11,1),(17,1),(50,1),(58,1)}
         3:{3,4,5,7}:{(13,1),(14,1),(15,1),(21,1),(54,1),(58,1),(64,1),(65,1),(109,1),(170,1),(172,1)}
         4:{2,4,6,7}:{(0,1),(11,1),(16,1),(17,1)}
         5:{2,4,5,6}:{(12,1),(16,1),(18,1),(62,1),(70,1)}
         6:{2,3,5,7}:{(1,1),(15,1),(19,1),(20,1),(22,1),(64,1),(118,1),(160,1),(200,1)}
         7:{2,3,4,6}:{(1,1),(19,1),(22,1),(23,1),(70,1),(125,1),(131,1),(135,1),(177,1)}
         8:{1,2,4,7}:{(1,1),(20,1),(23,1),(24,1),(73,1),(121,1)}
         9:{1,5,6,7}:{(2,1),(25,1),(37,1),(91,1)}
        10:{1,3,4,7}:{(27,1),(28,1),(29,1),(48,1),(96,1),(136,1),(180,1),(202,1)}
        11:{4,6,7}:{(2,1),(30,1)}
        12:{4,5,6}:{(30,1),(32,1),(150,1)}
        13:{3,4,6}:{(3,1),(32,1),(33,1),(34,1),(95,1),(150,1)}
        14:{1,4,5,7}:{(3,1),(27,1),(33,1),(44,1),(86,1),(91,1),(97,1),(136,1)}
        15:{2,4,5,7}:{(3,1),(6,1),(34,1),(45,1),(87,1),(92,1),(98,1),(137,1)}
        16:{2,4,5,7}:{(4,1),(5,1),(30,1),(36,1),(92,1),(98,1)}
        17:{3,6,7}:{(4,1),(36,1),(37,1)}
        18:{3,5,6}:{(5,1),(36,1),(39,1),(40,1)}
        19:{2,3,6}:{(6,1),(34,1),(42,1),(95,1),(206,1)}
        20:{1,2,5,7}:{(6,1),(8,1),(42,1),(43,1),(46,1),(144,1),(179,1)}
        21:{3,4,5}:{(39,1),(44,1),(45,1),(106,1)}
        22:{2,3,5}:{(7,1),(45,1),(46,1),(106,1),(151,1),(192,1)}
        23:{1,2,4,6}:{(7,1),(8,1),(42,1),(46,1),(47,1),(104,1),(107,1)}
        24:{1,3,7}:{(8,1),(47,1),(147,1),(153,1)}
        25:{1,4,6,7}:{(9,1),(11,1),(49,1),(50,1)}
        26:{1,4,5,6}:{(12,1),(49,1),(51,1),(61,1),(113,1)}
        27:{1,3,5,7}:{(10,1),(14,1),(52,1),(53,1),(55,1),(64,1),(74,1),(126,1),(207,1)}
        28:{1,3,4,6}:{(10,1),(52,1),(55,1),(56,1),(113,1),(125,1),(165,1),(169,1),(197,1)}
        29:{1,2,4,7}:{(10,1),(53,1),(56,1),(57,1),(77,1),(117,1)}
        30:{4,5,7}:{(11,1),(12,1),(58,1),(170,1)}
        31:{3,4,6,7}:{(11,1),(13,1),(17,1),(50,1),(58,1),(59,1),(60,1),(65,1),(109,1),(123,1),(170,1)}
        32:{3,5,6}:{(12,1),(13,1),(58,1),(61,1),(62,1)}
        33:{1,4,6}:{(13,1),(14,1),(52,1),(61,1)}
        34:{2,4,6}:{(13,1),(15,1),(19,1),(62,1)}
        35:{1,2,4,5,7}:{(14,1),(15,1),(20,1),(53,1),(63,1),(64,1),(73,1),(75,1),(117,1),(119,1),(122,1),(127,1),(133,1),(161,1),(167,1),(170,1),(172,1),(175,1),(195,1),(200,1),(207,1)}
        36:{3,5,7}:{(16,1),(17,1),(18,1),(65,1),(66,1)}
        37:{1,6,7}:{(17,1),(66,1)}
        38:{2,3,6,7}:{(17,1),(19,1),(60,1),(67,1),(68,1),(123,1),(160,1)}
        39:{3,4,6}:{(18,1),(21,1),(65,1),(69,1),(70,1),(131,1)}
        40:{1,5,6}:{(18,1),(66,1),(69,1)}
        41:{2,3,5,6}:{(18,1),(19,1),(22,1),(62,1),(67,1),(70,1),(71,1),(124,1),(131,1)}
        42:{1,2,6}:{(19,1),(20,1),(72,1)}
        43:{1,3,5,7}:{(20,1),(24,1),(64,1),(72,1),(73,1),(76,1),(133,1),(168,1),(193,1),(207,1)}
        44:{1,4,5}:{(21,1),(69,1),(74,1)}
        45:{2,4,5}:{(21,1),(22,1),(70,1),(172,1)}
        46:{1,2,5}:{(22,1),(23,1),(76,1),(133,1)}
        47:{1,3,6}:{(23,1),(24,1),(76,1),(131,1)}
        48:{1,3,4}:{(74,1),(77,1),(135,1)}
        49:{1,4,5,7}:{(25,1),(26,1),(30,1),(78,1),(91,1),(136,1)}
        50:{3,6,7}:{(25,1),(78,1),(80,1)}
        51:{3,5,6}:{(26,1),(78,1),(81,1),(83,1)}
        52:{1,3,6}:{(27,1),(33,1),(84,1),(95,1),(209,1)}
        53:{1,2,5,7}:{(27,1),(29,1),(84,1),(85,1),(88,1),(105,1),(152,1)}
        54:{3,4,5}:{(81,1),(86,1),(87,1),(145,1)}
        55:{1,3,5}:{(28,1),(86,1),(88,1),(145,1),(151,1),(205,1)}
        56:{1,2,4,6}:{(28,1),(29,1),(84,1),(88,1),(89,1),(143,1),(146,1)}
        57:{2,3,7}:{(29,1),(89,1),(108,1),(180,1)}
        58:{3,5,7}:{(30,1),(31,1),(32,1),(91,1),(92,1)}
        59:{1,4,6,7}:{(31,1),(33,1),(37,1),(79,1),(91,1),(97,1),(136,1)}
        60:{2,4,6,7}:{(31,1),(34,1),(38,1),(80,1),(92,1),(98,1),(137,1)}
        61:{1,5,6}:{(32,1),(33,1),(91,1)}
        62:{2,5,6}:{(32,1),(34,1),(92,1)}
        63:{1,2,4,6}:{(33,1),(34,1),(35,1),(42,1),(84,1),(94,1),(95,1),(104,1),(143,1),(150,1),(191,1),(204,1),(206,1),(209,1)}
        64:{3,5,7}:{(35,1),(95,1),(96,1),(106,1),(145,1),(151,1),(153,1),(180,1)}
        65:{3,4,7}:{(36,1),(39,1),(97,1),(98,1),(153,1)}
        66:{1,5,7}:{(36,1),(37,1),(40,1),(97,1)}
        67:{2,3,5,7}:{(36,1),(38,1),(41,1),(92,1),(98,1),(99,1),(148,1),(153,1)}
        68:{1,2,6,7}:{(37,1),(38,1),(42,1),(99,1),(100,1),(179,1),(206,1)}
        69:{1,4,6}:{(39,1),(40,1),(44,1),(97,1),(101,1)}
        70:{2,4,6}:{(39,1),(41,1),(45,1),(98,1),(150,1)}
        71:{1,2,5,6}:{(40,1),(41,1),(42,1),(46,1),(99,1),(102,1),(103,1),(192,1),(206,1)}
        72:{1,3,6}:{(42,1),(43,1),(95,1),(104,1),(209,1)}
        73:{1,4,7}:{(43,1),(96,1),(104,1),(107,1),(186,1)}
        74:{1,3,5}:{(44,1),(48,1),(101,1),(105,1),(106,1)}
        75:{1,2,4,5}:{(44,1),(45,1),(46,1),(102,1),(105,1),(106,1),(107,1),(158,1),(159,1),(192,1)}
        76:{1,3,5}:{(46,1),(47,1),(106,1),(107,1)}
        77:{1,2,4}:{(48,1),(105,1),(108,1),(159,1)}
        78:{3,5,7}:{(49,1),(50,1),(51,1),(109,1),(111,1)}
        79:{1,3,6,7}:{(50,1),(52,1),(59,1),(110,1),(112,1),(123,1),(126,1)}
        80:{2,6,7}:{(50,1),(111,1)}
        81:{3,4,6}:{(51,1),(54,1),(109,1),(113,1),(114,1),(165,1)}
        82:{1,3,5,6}:{(51,1),(52,1),(55,1),(61,1),(110,1),(113,1),(115,1),(124,1),(165,1)}
        83:{2,5,6}:{(51,1),(111,1),(114,1)}
        84:{1,2,6}:{(52,1),(53,1),(116,1)}
        85:{2,3,5,7}:{(53,1),(57,1),(64,1),(116,1),(117,1),(120,1),(134,1),(167,1),(173,1),(200,1)}
        86:{1,4,5}:{(54,1),(55,1),(113,1),(172,1)}
        87:{2,4,5}:{(54,1),(114,1),(118,1)}
        88:{1,2,5}:{(55,1),(56,1),(120,1),(167,1)}
        89:{2,3,6}:{(56,1),(57,1),(120,1),(165,1)}
        90:{2,3,4}:{(118,1),(121,1),(169,1)}
        91:{1,5,7}:{(58,1),(59,1),(61,1)}
        92:{2,5,7}:{(58,1),(60,1),(62,1)}
        93:{1,2,4,6,7}:{(59,1),(60,1),(63,1),(68,1),(112,1),(122,1),(123,1),(127,1),(129,1),(161,1),(163,1),(170,1)}
        94:{1,2,5,6}:{(61,1),(62,1),(63,1),(122,1),(124,1),(133,1),(167,1),(176,1),(196,1)}
        95:{3,6}:{(63,1),(64,1)}
        96:{3,4,7}:{(64,1),(73,1),(117,1),(125,1),(135,1),(169,1),(170,1)}
        97:{1,4,7}:{(65,1),(66,1),(69,1),(126,1)}
        98:{2,4,7}:{(65,1),(67,1),(70,1),(170,1)}
        99:{1,2,5,7}:{(66,1),(67,1),(68,1),(71,1),(127,1),(128,1),(200,1)}
       100:{1,3,6,7}:{(68,1),(72,1),(123,1),(128,1),(129,1),(193,1),(201,1)}
       101:{1,3,6}:{(69,1),(74,1),(126,1),(130,1),(131,1)}
       102:{1,2,4,6}:{(69,1),(70,1),(71,1),(75,1),(127,1),(130,1),(131,1),(132,1),(177,1)}
       103:{1,3,5,6}:{(71,1),(72,1),(76,1),(124,1),(128,1),(131,1),(132,1),(133,1),(176,1),(178,1),(201,1)}
       104:{1,4,6}:{(72,1),(73,1),(125,1),(133,1)}
       105:{1,2,5}:{(74,1),(77,1),(130,1),(134,1)}
       106:{3,5}:{(75,1),(131,1),(135,1)}
       107:{1,4}:{(76,1),(135,1)}
       108:{2,3}:{(77,1)}
       109:{3,4,7}:{(78,1),(81,1),(136,1),(137,1),(180,1)}
       110:{1,3,5,7}:{(78,1),(79,1),(82,1),(91,1),(136,1),(138,1),(148,1),(180,1)}
       111:{2,5,7}:{(78,1),(80,1),(83,1),(137,1)}
       112:{1,2,6,7}:{(79,1),(80,1),(84,1),(138,1),(139,1),(152,1),(209,1)}
       113:{1,4,6}:{(81,1),(82,1),(86,1),(136,1),(150,1)}
       114:{2,4,6}:{(81,1),(83,1),(87,1),(137,1),(140,1)}
       115:{1,2,5,6}:{(82,1),(83,1),(84,1),(88,1),(138,1),(141,1),(142,1),(205,1),(209,1)}
       116:{2,3,6}:{(84,1),(85,1),(95,1),(143,1),(206,1)}
       117:{2,4,7}:{(85,1),(96,1),(143,1),(146,1),(159,1)}
       118:{2,3,5}:{(87,1),(90,1),(140,1),(144,1),(145,1)}
       119:{1,2,4,5}:{(86,1),(87,1),(88,1),(141,1),(144,1),(145,1),(146,1),(185,1),(186,1),(205,1)}
       120:{2,3,5}:{(88,1),(89,1),(145,1),(146,1)}
       121:{1,2,4}:{(90,1),(144,1),(147,1),(186,1)}
       122:{1,2,5,7}:{(91,1),(92,1),(93,1),(94,1),(148,1),(155,1),(182,1)}
       123:{3,6,7}:{(93,1),(95,1),(148,1),(153,1),(180,1)}
       124:{3,5,6}:{(94,1),(95,1),(148,1),(150,1),(151,1)}
       125:{3,4,6}:{(95,1),(96,1),(104,1),(143,1),(150,1),(151,1)}
       126:{1,3,7}:{(97,1),(101,1),(152,1),(153,1)}
       127:{1,2,4,7}:{(97,1),(98,1),(99,1),(102,1),(152,1),(153,1),(154,1),(189,1)}
       128:{1,3,5,7}:{(99,1),(100,1),(103,1),(148,1),(153,1),(154,1),(155,1),(190,1)}
       129:{1,4,6,7}:{(100,1),(104,1),(149,1),(154,1),(155,1),(191,1),(202,1),(209,1)}
       130:{1,2,6}:{(101,1),(105,1),(152,1),(156,1)}
       131:{3,6}:{(102,1),(106,1),(153,1)}
       132:{1,4,6}:{(103,1),(107,1),(150,1),(154,1),(157,1),(158,1)}
       133:{1,5}:{(104,1),(151,1)}
       134:{2,3,5}:{(105,1),(106,1),(108,1),(156,1),(159,1),(192,1)}
       135:{3,4}:{(106,1),(107,1),(159,1)}
       136:{1,4,7}:{(109,1),(110,1),(113,1),(170,1)}
       137:{2,4,7}:{(109,1),(111,1),(114,1),(160,1)}
       138:{1,2,5,7}:{(110,1),(111,1),(112,1),(115,1),(161,1),(162,1),(207,1)}
       139:{2,3,6,7}:{(112,1),(116,1),(123,1),(162,1),(163,1),(173,1),(208,1)}
       140:{2,3,6}:{(114,1),(118,1),(160,1),(164,1),(165,1)}
       141:{1,2,4,6}:{(113,1),(114,1),(115,1),(119,1),(161,1),(164,1),(165,1),(166,1),(197,1)}
       142:{2,3,5,6}:{(115,1),(116,1),(120,1),(124,1),(162,1),(165,1),(166,1),(167,1),(196,1),(198,1),(208,1)}
       143:{2,4,6}:{(116,1),(117,1),(125,1),(167,1)}
       144:{1,2,5}:{(118,1),(121,1),(164,1),(168,1)}
       145:{3,5}:{(119,1),(165,1),(169,1)}
       146:{2,4}:{(120,1),(169,1)}
       147:{1,3}:{(121,1)}
       148:{3,5,7}:{(122,1),(123,1),(124,1),(170,1)}
       149:{3,4,6,7}:{(123,1),(125,1),(129,1),(163,1),(170,1),(171,1),(174,1),(194,1),(199,1),(201,1),(208,1)}
       150:{4,6}:{(124,1),(170,1),(172,1)}
       151:{3,5}:{(125,1),(133,1),(167,1),(172,1)}
       152:{1,2,7}:{(126,1),(130,1),(173,1)}
       153:{3,7}:{(127,1),(131,1)}
       154:{1,4,7}:{(128,1),(132,1),(170,1),(174,1)}
       155:{1,5,7}:{(129,1),(133,1),(171,1),(176,1)}
       156:{2,3,6}:{(130,1),(131,1),(134,1),(173,1),(177,1)}
       157:{3,4,6}:{(131,1),(132,1),(135,1),(174,1),(177,1),(178,1),(201,1)}
       158:{1,4,5}:{(132,1),(133,1),(172,1),(178,1)}
       159:{2,4}:{(134,1),(135,1)}
       160:{2,3,7}:{(137,1),(140,1),(179,1),(180,1)}
       161:{1,2,4,7}:{(136,1),(137,1),(138,1),(141,1),(179,1),(180,1),(181,1),(202,1)}
       162:{2,3,5,7}:{(138,1),(139,1),(142,1),(148,1),(180,1),(181,1),(182,1),(203,1)}
       163:{2,4,6,7}:{(139,1),(143,1),(149,1),(181,1),(182,1),(189,1),(204,1),(206,1)}
       164:{1,2,6}:{(140,1),(144,1),(179,1),(183,1)}
       165:{3,6}:{(141,1),(145,1),(180,1)}
       166:{2,4,6}:{(142,1),(146,1),(150,1),(181,1),(184,1),(185,1)}
       167:{2,5}:{(143,1),(151,1)}
       168:{1,3,5}:{(144,1),(145,1),(147,1),(183,1),(186,1),(205,1)}
       169:{3,4}:{(145,1),(146,1),(186,1)}
       170:{4,7}:{(148,1),(150,1)}
       171:{3,5,7}:{(149,1),(151,1),(155,1),(182,1),(187,1),(188,1)}
       172:{4,5}:{(150,1),(151,1)}
       173:{2,3,7}:{(152,1),(153,1),(156,1),(189,1)}
       174:{3,4,7}:{(153,1),(154,1),(157,1),(189,1),(190,1)}
       175:{1,4,5,7}:{(154,1),(155,1),(158,1),(187,1),(190,1),(191,1)}
       176:{1,5,6}:{(155,1),(188,1),(191,1),(209,1)}
       177:{2,4,6}:{(156,1),(157,1),(159,1),(189,1),(192,1),(206,1)}
       178:{3,5}:{(157,1),(158,1),(192,1)}
       179:{1,2,7}:{(160,1),(164,1),(193,1)}
       180:{3,7}:{(161,1),(165,1)}
       181:{2,4,7}:{(162,1),(166,1),(170,1),(194,1)}
       182:{2,5,7}:{(163,1),(167,1),(171,1),(196,1)}
       183:{1,3,6}:{(164,1),(165,1),(168,1),(193,1),(197,1)}
       184:{3,4,6}:{(165,1),(166,1),(169,1),(194,1),(197,1),(198,1),(208,1)}
       185:{2,4,5}:{(166,1),(167,1),(172,1),(198,1)}
       186:{1,4}:{(168,1),(169,1)}
       187:{4,5,7}:{(170,1),(171,1),(172,1),(199,1)}
       188:{3,5,6}:{(171,1),(176,1),(196,1),(199,1),(201,1),(208,1)}
       189:{2,4,7}:{(173,1),(174,1),(177,1),(200,1)}
       190:{3,5,7}:{(174,1),(175,1),(178,1),(200,1),(201,1)}
       191:{1,4,6}:{(175,1),(176,1),(199,1),(201,1)}
       192:{2,5}:{(177,1),(178,1)}
       193:{1,3,7}:{(179,1),(180,1),(183,1),(202,1)}
       194:{3,4,7}:{(180,1),(181,1),(184,1),(202,1),(203,1)}
       195:{2,4,5,7}:{(181,1),(182,1),(185,1),(187,1),(203,1),(204,1)}
       196:{2,5,6}:{(182,1),(188,1),(204,1),(206,1)}
       197:{1,4,6}:{(183,1),(184,1),(186,1),(202,1),(205,1),(209,1)}
       198:{3,5}:{(184,1),(185,1),(205,1)}
       199:{4,6}:{(187,1),(188,1)}
       200:{2,5,7}:{(189,1),(190,1),(192,1),(206,1)}
       201:{3,6}:{(190,1),(191,1),(206,1)}
       202:{1,4,7}:{(193,1),(194,1),(197,1),(207,1)}
       203:{3,5,7}:{(194,1),(195,1),(198,1),(207,1),(208,1)}
       204:{2,4,6}:{(195,1),(196,1),(199,1),(208,1)}
       205:{1,5}:{(197,1),(198,1)}
       206:{2,6}:{(200,1),(201,1)}
       207:{1,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       208:{3,6}:{(203,1),(204,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

1132 :   0:{1,2,3,7}:{(4,1),(5,1),(158,1),(200,1),(210,1)}
         1:{2,3,4,7}:{(4,1),(6,1),(7,1),(25,1),(94,1),(139,1),(158,1)}
         2:{1,2,3,5,7}:{(0,1),(8,1),(10,1),(11,1),(16,1),(18,1),(41,1),(43,1),(46,1),(49,1)}
         3:{3,4,5,7}:{(12,1),(13,1),(14,1),(46,1),(54,1),(65,1),(106,1),(113,1),(129,1),(174,1),(180,1)}
         4:{1,2,4,7}:{(0,1),(1,1),(15,1),(16,1),(17,1),(173,1)}
         5:{1,2,3,6}:{(0,1),(17,1),(18,1),(125,1),(190,1)}
         6:{2,3,5,7}:{(1,1),(12,1),(16,1),(19,1),(20,1),(46,1),(172,1),(217,1)}
         7:{2,3,4,6}:{(1,1),(17,1),(19,1),(20,1),(47,1),(62,1),(64,1),(125,1)}
         8:{1,2,3,7}:{(21,1),(22,1),(162,1),(196,1),(226,1)}
         9:{1,3,4,7}:{(21,1),(23,1),(24,1),(25,1),(92,1),(140,1),(196,1)}
        10:{1,2,4,7}:{(2,1),(25,1),(27,1),(36,1),(70,1)}
        11:{1,2,3,6}:{(2,1),(27,1),(34,1),(68,1),(76,1)}
        12:{2,4,5,7}:{(3,1),(6,1),(28,1),(39,1),(80,1),(94,1),(142,1),(201,1)}
        13:{1,4,5,7}:{(3,1),(23,1),(29,1),(73,1),(82,1),(96,1),(140,1),(163,1)}
        14:{3,4,6}:{(3,1),(28,1),(29,1),(31,1),(76,1),(148,1)}
        15:{1,3,4,7}:{(4,1),(25,1),(32,1),(33,1),(138,1),(155,1),(158,1)}
        16:{1,2,5,7}:{(4,1),(6,1),(32,1),(34,1),(35,1),(199,1),(226,1)}
        17:{1,2,4,6}:{(4,1),(5,1),(7,1),(33,1),(34,1),(35,1),(36,1)}
        18:{1,2,3,5}:{(5,1),(35,1),(36,1),(91,1),(161,1),(162,1)}
        19:{2,3,6}:{(6,1),(28,1),(34,1),(76,1)}
        20:{2,3,5}:{(7,1),(35,1),(39,1),(77,1),(91,1)}
        21:{1,2,4,7}:{(8,1),(9,1),(40,1),(41,1),(42,1),(128,1)}
        22:{1,2,3,6}:{(8,1),(42,1),(43,1),(170,1),(218,1)}
        23:{1,3,5,7}:{(9,1),(13,1),(41,1),(44,1),(45,1),(46,1),(126,1),(188,1)}
        24:{1,3,4,6}:{(9,1),(42,1),(44,1),(45,1),(47,1),(103,1),(105,1),(170,1)}
        25:{3,4,7}:{(10,1),(46,1),(47,1),(62,1),(103,1),(180,1)}
        26:{1,2,4,5,7}:{(10,1),(12,1),(13,1),(16,1),(41,1),(46,1),(48,1),(49,1),(56,1),(61,1),(97,1),(102,1),(113,1),(114,1),(124,1),(169,1),(180,1)}
        27:{1,2,4,6}:{(10,1),(11,1),(47,1),(49,1)}
        28:{2,4,6}:{(12,1),(14,1),(19,1),(51,1)}
        29:{1,4,6}:{(13,1),(14,1),(44,1),(53,1)}
        30:{3,4,6,7}:{(14,1),(50,1),(52,1),(54,1),(109,1),(111,1),(129,1),(174,1),(176,1),(177,1),(180,1)}
        31:{3,5,6}:{(14,1),(51,1),(53,1),(54,1),(55,1)}
        32:{1,3,5,7}:{(15,1),(16,1),(46,1),(56,1),(57,1),(58,1),(171,1),(216,1)}
        33:{1,3,4,6}:{(15,1),(17,1),(47,1),(57,1),(58,1),(62,1),(122,1),(125,1)}
        34:{1,2,6}:{(16,1),(19,1),(57,1)}
        35:{1,2,5}:{(17,1),(20,1),(58,1)}
        36:{1,2,4}:{(18,1),(62,1)}
        37:{2,3,6,7}:{(19,1),(50,1),(59,1),(63,1),(111,1),(176,1),(217,1)}
        38:{2,3,5,6}:{(19,1),(20,1),(51,1),(60,1),(63,1),(64,1),(112,1),(116,1),(125,1)}
        39:{2,4,5}:{(20,1),(64,1),(65,1),(113,1)}
        40:{2,3,4,7}:{(21,1),(25,1),(66,1),(67,1),(93,1),(193,1),(196,1)}
        41:{1,2,5,7}:{(21,1),(23,1),(66,1),(68,1),(69,1),(161,1),(210,1)}
        42:{1,2,4,6}:{(21,1),(22,1),(24,1),(67,1),(68,1),(69,1),(70,1)}
        43:{1,2,3,5}:{(22,1),(69,1),(70,1),(137,1),(199,1),(200,1)}
        44:{1,3,6}:{(23,1),(29,1),(68,1),(76,1)}
        45:{1,3,5}:{(24,1),(69,1),(73,1),(77,1),(137,1)}
        46:{3,5,7}:{(25,1),(26,1),(76,1),(77,1),(91,1),(137,1),(158,1),(196,1)}
        47:{3,4,6}:{(25,1),(27,1),(76,1),(77,1),(148,1)}
        48:{1,2,4,6}:{(26,1),(28,1),(29,1),(34,1),(68,1),(76,1),(79,1),(85,1),(131,1),(148,1)}
        49:{1,2,5}:{(27,1),(77,1)}
        50:{2,4,6,7}:{(28,1),(30,1),(37,1),(80,1),(94,1),(201,1),(203,1)}
        51:{2,5,6}:{(28,1),(31,1),(80,1)}
        52:{1,4,6,7}:{(29,1),(30,1),(71,1),(82,1),(140,1),(163,1),(202,1)}
        53:{1,5,6}:{(29,1),(31,1),(82,1)}
        54:{3,5,7}:{(30,1),(31,1),(80,1),(82,1),(84,1)}
        55:{4,5,6}:{(31,1),(84,1),(148,1)}
        56:{1,4,5,7}:{(32,1),(75,1),(85,1),(88,1),(153,1),(155,1),(195,1),(225,1)}
        57:{1,3,6}:{(32,1),(34,1),(76,1),(85,1)}
        58:{1,3,5}:{(33,1),(35,1),(77,1),(88,1),(91,1)}
        59:{1,2,6,7}:{(34,1),(37,1),(86,1),(89,1),(202,1),(226,1),(227,1)}
        60:{1,2,5,6}:{(34,1),(35,1),(38,1),(87,1),(89,1),(90,1),(150,1),(208,1)}
        61:{1,2,4,5}:{(35,1),(36,1),(39,1),(88,1),(90,1),(91,1),(96,1),(157,1),(161,1)}
        62:{3,4}:{(36,1),(91,1)}
        63:{2,3,5,7}:{(37,1),(38,1),(80,1),(89,1),(94,1),(147,1),(149,1),(158,1)}
        64:{2,4,6}:{(38,1),(39,1),(94,1),(95,1),(148,1)}
        65:{3,4,5}:{(39,1),(91,1),(95,1),(96,1)}
        66:{2,3,5,7}:{(40,1),(41,1),(46,1),(97,1),(98,1),(99,1),(127,1),(189,1)}
        67:{2,3,4,6}:{(40,1),(42,1),(47,1),(98,1),(99,1),(103,1),(167,1),(170,1)}
        68:{1,2,6}:{(41,1),(44,1),(98,1)}
        69:{1,2,5}:{(42,1),(45,1),(99,1)}
        70:{1,2,4}:{(43,1),(103,1)}
        71:{1,3,6,7}:{(44,1),(52,1),(100,1),(104,1),(111,1),(177,1),(188,1)}
        72:{1,3,5,6}:{(44,1),(45,1),(53,1),(101,1),(104,1),(105,1),(112,1),(118,1),(170,1)}
        73:{1,4,5}:{(45,1),(105,1),(106,1),(113,1)}
        74:{3,5,6,7}:{(54,1),(107,1),(108,1),(109,1),(176,1),(177,1)}
        75:{3,4,5,7}:{(46,1),(56,1),(97,1),(110,1),(113,1),(123,1),(168,1),(178,1),(180,1),(186,1),(214,1)}
        76:{3,6}:{(46,1),(48,1)}
        77:{3,5}:{(47,1),(49,1),(113,1)}
        78:{1,2,4,6,7}:{(48,1),(50,1),(52,1),(59,1),(100,1),(111,1),(114,1),(119,1),(124,1),(164,1),(169,1),(180,1)}
        79:{1,2,5,6}:{(48,1),(49,1),(51,1),(53,1),(112,1),(114,1),(120,1),(165,1)}
        80:{2,5,7}:{(50,1),(51,1),(54,1)}
        81:{2,4,5,6}:{(51,1),(55,1),(64,1),(115,1),(116,1)}
        82:{1,5,7}:{(52,1),(53,1),(54,1)}
        83:{1,4,5,6}:{(53,1),(55,1),(105,1),(117,1),(118,1)}
        84:{4,5,7}:{(54,1),(55,1),(109,1),(180,1)}
        85:{1,4,6}:{(56,1),(57,1),(110,1),(120,1)}
        86:{1,3,6,7}:{(57,1),(59,1),(111,1),(119,1),(121,1),(216,1),(220,1)}
        87:{1,3,5,6}:{(57,1),(58,1),(60,1),(112,1),(120,1),(121,1),(122,1),(125,1),(185,1)}
        88:{1,4,5}:{(58,1),(113,1),(122,1),(123,1)}
        89:{1,2,5,7}:{(59,1),(60,1),(63,1),(121,1),(124,1),(181,1),(221,1)}
        90:{1,2,4,6}:{(60,1),(61,1),(64,1),(122,1),(124,1),(125,1),(130,1),(187,1),(190,1)}
        91:{3,5}:{(61,1),(62,1),(125,1)}
        92:{1,3,4}:{(62,1),(126,1),(128,1)}
        93:{2,3,4}:{(62,1),(127,1),(128,1)}
        94:{2,4,7}:{(63,1),(64,1),(129,1),(180,1)}
        95:{3,4,6}:{(64,1),(65,1),(116,1),(125,1),(129,1),(130,1)}
        96:{1,4,5}:{(65,1),(126,1),(130,1)}
        97:{2,4,5,7}:{(66,1),(75,1),(131,1),(134,1),(157,1),(191,1),(193,1),(209,1)}
        98:{2,3,6}:{(66,1),(68,1),(76,1),(131,1)}
        99:{2,3,5}:{(67,1),(69,1),(77,1),(134,1),(137,1)}
       100:{1,2,6,7}:{(68,1),(71,1),(132,1),(135,1),(203,1),(210,1),(230,1)}
       101:{1,2,5,6}:{(68,1),(69,1),(72,1),(133,1),(135,1),(136,1),(152,1),(224,1)}
       102:{1,2,4,5}:{(69,1),(70,1),(73,1),(134,1),(136,1),(137,1),(142,1),(195,1),(199,1)}
       103:{3,4}:{(70,1),(137,1)}
       104:{1,3,5,7}:{(71,1),(72,1),(82,1),(135,1),(140,1),(147,1),(151,1),(196,1)}
       105:{1,4,6}:{(72,1),(73,1),(140,1),(141,1),(148,1)}
       106:{3,4,5}:{(73,1),(137,1),(141,1),(142,1)}
       107:{2,5,6,7}:{(74,1),(80,1),(143,1),(203,1)}
       108:{1,5,6,7}:{(74,1),(82,1),(144,1),(202,1)}
       109:{4,6,7}:{(74,1),(84,1)}
       110:{3,4,6}:{(75,1),(76,1),(85,1),(131,1),(146,1),(148,1)}
       111:{3,6,7}:{(76,1),(78,1),(147,1),(158,1),(196,1)}
       112:{3,5,6}:{(76,1),(77,1),(79,1),(147,1),(148,1)}
       113:{4,5}:{(77,1),(148,1)}
       114:{1,2,5,7}:{(78,1),(79,1),(80,1),(82,1),(147,1),(153,1),(191,1)}
       115:{2,4,5,7}:{(80,1),(81,1),(84,1),(94,1),(143,1),(149,1)}
       116:{3,5,6}:{(81,1),(95,1),(149,1),(150,1)}
       117:{1,4,5,7}:{(82,1),(83,1),(84,1),(140,1),(144,1),(151,1)}
       118:{3,5,6}:{(83,1),(141,1),(151,1),(152,1)}
       119:{1,4,6,7}:{(85,1),(86,1),(145,1),(153,1),(155,1),(225,1),(230,1)}
       120:{1,5,6}:{(85,1),(146,1),(153,1)}
       121:{1,3,5,7}:{(86,1),(87,1),(89,1),(147,1),(153,1),(155,1),(158,1),(207,1)}
       122:{1,4,6}:{(87,1),(88,1),(148,1),(155,1),(156,1)}
       123:{3,4,5}:{(88,1),(91,1),(156,1),(157,1)}
       124:{1,2,4,7}:{(89,1),(90,1),(94,1),(155,1),(158,1),(163,1),(209,1),(210,1)}
       125:{3,6}:{(90,1),(91,1),(158,1)}
       126:{1,3,5}:{(91,1),(92,1),(96,1),(159,1),(161,1)}
       127:{2,3,5}:{(91,1),(93,1),(157,1),(160,1),(161,1)}
       128:{1,2,4}:{(92,1),(93,1),(161,1),(162,1)}
       129:{3,4,7}:{(94,1),(95,1),(149,1),(158,1),(163,1)}
       130:{1,4,6}:{(95,1),(96,1),(150,1),(159,1),(163,1)}
       131:{2,4,6}:{(97,1),(98,1),(110,1),(165,1)}
       132:{2,3,6,7}:{(98,1),(100,1),(111,1),(164,1),(166,1),(189,1),(228,1)}
       133:{2,3,5,6}:{(98,1),(99,1),(101,1),(112,1),(165,1),(166,1),(167,1),(170,1),(213,1)}
       134:{2,4,5}:{(99,1),(113,1),(167,1),(168,1)}
       135:{1,2,5,7}:{(100,1),(101,1),(104,1),(166,1),(169,1),(182,1),(229,1)}
       136:{1,2,4,6}:{(101,1),(102,1),(105,1),(167,1),(169,1),(170,1),(175,1),(215,1),(218,1)}
       137:{3,5}:{(102,1),(103,1),(170,1)}
       138:{1,3,4}:{(103,1),(171,1),(173,1)}
       139:{2,3,4}:{(103,1),(172,1),(173,1)}
       140:{1,4,7}:{(104,1),(105,1),(174,1),(180,1)}
       141:{3,4,6}:{(105,1),(106,1),(118,1),(170,1),(174,1),(175,1)}
       142:{2,4,5}:{(106,1),(172,1),(175,1)}
       143:{2,4,6,7}:{(107,1),(109,1),(115,1),(176,1)}
       144:{1,4,6,7}:{(108,1),(109,1),(117,1),(177,1)}
       145:{3,4,6,7}:{(110,1),(111,1),(119,1),(164,1),(178,1),(180,1),(186,1),(214,1),(219,1),(220,1),(228,1)}
       146:{3,5,6}:{(110,1),(120,1),(165,1),(178,1),(179,1)}
       147:{3,5,7}:{(111,1),(112,1),(114,1),(180,1)}
       148:{4,6}:{(112,1),(113,1),(180,1)}
       149:{3,5,7}:{(115,1),(116,1),(129,1),(176,1),(181,1)}
       150:{1,5,6}:{(116,1),(130,1),(181,1)}
       151:{3,5,7}:{(117,1),(118,1),(174,1),(177,1),(182,1)}
       152:{2,5,6}:{(118,1),(175,1),(182,1)}
       153:{1,5,7}:{(119,1),(120,1),(178,1)}
       154:{1,4,5,6}:{(120,1),(122,1),(179,1),(184,1),(185,1)}
       155:{1,4,7}:{(121,1),(122,1),(180,1),(186,1)}
       156:{3,4,6}:{(122,1),(123,1),(125,1),(185,1),(186,1),(187,1)}
       157:{2,4,5}:{(123,1),(127,1),(187,1)}
       158:{3,7}:{(124,1),(125,1)}
       159:{1,3,6}:{(125,1),(126,1),(130,1),(188,1),(190,1)}
       160:{2,3,6}:{(125,1),(127,1),(187,1),(189,1),(190,1)}
       161:{1,2,5}:{(126,1),(127,1),(128,1),(190,1)}
       162:{1,2,3}:{(128,1)}
       163:{1,4,7}:{(129,1),(130,1),(181,1),(188,1)}
       164:{2,4,6,7}:{(131,1),(132,1),(145,1),(191,1),(193,1),(209,1),(227,1)}
       165:{2,5,6}:{(131,1),(146,1),(191,1)}
       166:{2,3,5,7}:{(132,1),(133,1),(135,1),(147,1),(191,1),(193,1),(196,1),(223,1)}
       167:{2,4,6}:{(133,1),(134,1),(148,1),(193,1),(194,1)}
       168:{3,4,5}:{(134,1),(137,1),(194,1),(195,1)}
       169:{1,2,4,7}:{(135,1),(136,1),(140,1),(193,1),(196,1),(201,1),(225,1),(226,1)}
       170:{3,6}:{(136,1),(137,1),(196,1)}
       171:{1,3,5}:{(137,1),(138,1),(195,1),(197,1),(199,1)}
       172:{2,3,5}:{(137,1),(139,1),(142,1),(198,1),(199,1)}
       173:{1,2,4}:{(138,1),(139,1),(199,1),(200,1)}
       174:{3,4,7}:{(140,1),(141,1),(151,1),(196,1),(201,1)}
       175:{2,4,6}:{(141,1),(142,1),(152,1),(198,1),(201,1)}
       176:{3,6,7}:{(143,1),(149,1),(202,1)}
       177:{3,6,7}:{(144,1),(151,1),(203,1)}
       178:{3,5,7}:{(145,1),(146,1),(153,1),(191,1),(205,1)}
       179:{4,5,6}:{(146,1),(148,1),(205,1)}
       180:{4,7}:{(147,1),(148,1)}
       181:{1,5,7}:{(149,1),(150,1),(163,1),(202,1)}
       182:{2,5,7}:{(151,1),(152,1),(201,1),(203,1)}
       183:{1,5,6,7}:{(153,1),(204,1),(206,1),(230,1)}
       184:{1,4,5,7}:{(153,1),(154,1),(155,1),(205,1),(206,1),(207,1)}
       185:{3,5,6}:{(154,1),(156,1),(207,1),(208,1)}
       186:{3,4,7}:{(155,1),(156,1),(158,1),(207,1),(209,1)}
       187:{2,4,6}:{(156,1),(157,1),(160,1),(208,1),(209,1)}
       188:{1,3,7}:{(158,1),(159,1),(163,1),(210,1)}
       189:{2,3,7}:{(158,1),(160,1),(209,1),(210,1)}
       190:{1,2,6}:{(159,1),(160,1),(161,1),(210,1)}
       191:{2,5,7}:{(164,1),(165,1),(178,1)}
       192:{2,4,5,6}:{(165,1),(167,1),(179,1),(212,1),(213,1)}
       193:{2,4,7}:{(166,1),(167,1),(180,1),(214,1)}
       194:{3,4,6}:{(167,1),(168,1),(170,1),(213,1),(214,1),(215,1)}
       195:{1,4,5}:{(168,1),(171,1),(215,1)}
       196:{3,7}:{(169,1),(170,1)}
       197:{1,3,6}:{(170,1),(171,1),(215,1),(216,1),(218,1)}
       198:{2,3,6}:{(170,1),(172,1),(175,1),(217,1),(218,1)}
       199:{1,2,5}:{(171,1),(172,1),(173,1),(218,1)}
       200:{1,2,3}:{(173,1)}
       201:{2,4,7}:{(174,1),(175,1),(182,1),(217,1)}
       202:{1,6,7}:{(176,1),(181,1)}
       203:{2,6,7}:{(177,1),(182,1)}
       204:{3,5,6,7}:{(178,1),(183,1),(211,1),(219,1),(220,1),(228,1)}
       205:{4,5,7}:{(178,1),(179,1),(180,1),(219,1)}
       206:{1,4,6,7}:{(183,1),(184,1),(219,1),(220,1)}
       207:{3,5,7}:{(184,1),(185,1),(186,1),(220,1),(221,1)}
       208:{2,5,6}:{(185,1),(187,1),(221,1)}
       209:{2,4,7}:{(186,1),(187,1),(189,1),(221,1)}
       210:{1,2,7}:{(188,1),(189,1),(190,1)}
       211:{2,5,6,7}:{(191,1),(204,1),(222,1),(227,1)}
       212:{2,4,5,7}:{(191,1),(192,1),(193,1),(205,1),(222,1),(223,1)}
       213:{3,5,6}:{(192,1),(194,1),(223,1),(224,1)}
       214:{3,4,7}:{(193,1),(194,1),(196,1),(223,1),(225,1)}
       215:{1,4,6}:{(194,1),(195,1),(197,1),(224,1),(225,1)}
       216:{1,3,7}:{(196,1),(197,1),(225,1),(226,1)}
       217:{2,3,7}:{(196,1),(198,1),(201,1),(226,1)}
       218:{1,2,6}:{(197,1),(198,1),(199,1),(226,1)}
       219:{4,6,7}:{(204,1),(205,1)}
       220:{3,6,7}:{(206,1),(207,1),(227,1)}
       221:{2,5,7}:{(207,1),(208,1),(209,1),(227,1)}
       222:{2,4,6,7}:{(211,1),(212,1),(219,1),(228,1)}
       223:{3,5,7}:{(212,1),(213,1),(214,1),(228,1),(229,1)}
       224:{1,5,6}:{(213,1),(215,1),(229,1)}
       225:{1,4,7}:{(214,1),(215,1),(216,1),(229,1)}
       226:{1,2,7}:{(216,1),(217,1),(218,1)}
       227:{2,6,7}:{(220,1),(221,1)}
       228:{3,6,7}:{(222,1),(223,1),(230,1)}
       229:{1,5,7}:{(223,1),(224,1),(225,1),(230,1)}
       230:{1,6,7}:{(228,1),(229,1)}

1133 :   0:{1,2,3}:{(4,1)}
         1:{2,3,4}:{(4,1),(5,1),(23,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(8,1),(10,1),(15,1),(32,1),(36,1),(41,1)}
         3:{3,4,5}:{(11,1),(12,1),(13,1),(41,1),(67,1)}
         4:{1,2,4}:{(0,1),(1,1),(14,1),(15,1)}
         5:{2,3,5}:{(1,1),(11,1),(15,1),(16,1),(41,1)}
         6:{1,2,3}:{(17,1)}
         7:{1,3,4}:{(17,1),(18,1),(23,1)}
         8:{1,2,3,6}:{(2,1),(19,1),(20,1),(29,1),(49,1),(60,1)}
         9:{4,5,6}:{(21,1),(22,1),(81,1),(98,1)}
        10:{1,2,4}:{(2,1),(23,1)}
        11:{2,4,5}:{(3,1),(5,1),(25,1)}
        12:{1,4,5}:{(3,1),(18,1),(26,1)}
        13:{3,4,6}:{(3,1),(21,1),(25,1),(26,1),(27,1),(60,1),(81,1)}
        14:{1,3,4}:{(4,1),(23,1),(28,1)}
        15:{1,2,5}:{(4,1),(5,1),(28,1),(29,1)}
        16:{2,3,6}:{(5,1),(25,1),(29,1),(30,1),(60,1)}
        17:{1,2,4}:{(6,1),(7,1),(31,1),(32,1)}
        18:{1,3,5}:{(7,1),(12,1),(32,1),(33,1),(41,1)}
        19:{1,2,3,7}:{(8,1),(35,1),(47,1),(66,1),(75,1)}
        20:{1,2,4,6}:{(8,1),(10,1),(34,1),(35,1),(36,1),(70,1)}
        21:{3,5,6}:{(9,1),(13,1),(37,1),(38,1),(39,1)}
        22:{4,5,7}:{(9,1),(39,1),(40,1),(92,1),(103,1)}
        23:{3,4}:{(10,1),(41,1)}
        24:{1,2,4,5}:{(10,1),(11,1),(12,1),(15,1),(32,1),(36,1),(41,1),(42,1),(45,1),(64,1),(67,1)}
        25:{2,4,6}:{(11,1),(13,1),(16,1),(37,1),(43,1)}
        26:{1,4,6}:{(12,1),(13,1),(33,1),(38,1),(44,1)}
        27:{3,4,7}:{(13,1),(39,1),(43,1),(44,1),(75,1),(92,1)}
        28:{1,3,5}:{(14,1),(15,1),(41,1),(45,1),(46,1)}
        29:{1,2,6}:{(15,1),(16,1),(46,1),(47,1)}
        30:{2,3,7}:{(16,1),(43,1),(47,1),(75,1)}
        31:{2,3,4}:{(17,1),(23,1),(48,1)}
        32:{1,2,5}:{(17,1),(18,1),(48,1),(49,1)}
        33:{1,3,6}:{(18,1),(26,1),(49,1),(50,1),(60,1)}
        34:{3,4,6}:{(20,1),(23,1),(51,1),(52,1),(60,1),(81,1),(82,1)}
        35:{1,2,4,7}:{(19,1),(20,1),(51,1),(53,1)}
        36:{1,2,5}:{(20,1),(52,1)}
        37:{2,5,6}:{(21,1),(25,1),(55,1)}
        38:{1,5,6}:{(21,1),(26,1),(56,1)}
        39:{3,5,7}:{(21,1),(22,1),(27,1),(55,1),(56,1),(57,1)}
        40:{4,6,7}:{(22,1),(57,1),(58,1)}
        41:{3,5}:{(23,1),(24,1),(60,1)}
        42:{1,2,4,6}:{(24,1),(25,1),(26,1),(29,1),(49,1),(54,1),(60,1),(61,1),(62,1),(78,1),(81,1)}
        43:{2,4,7}:{(25,1),(27,1),(30,1),(55,1)}
        44:{1,4,7}:{(26,1),(27,1),(50,1),(56,1)}
        45:{1,4,5}:{(28,1),(59,1),(62,1)}
        46:{1,3,6}:{(28,1),(29,1),(60,1),(62,1),(63,1)}
        47:{1,2,7}:{(29,1),(30,1),(63,1)}
        48:{2,3,5}:{(31,1),(32,1),(41,1),(64,1),(65,1)}
        49:{1,2,6}:{(32,1),(33,1),(65,1),(66,1)}
        50:{1,3,7}:{(33,1),(44,1),(66,1),(75,1)}
        51:{3,4,7}:{(34,1),(35,1),(68,1),(75,1),(92,1)}
        52:{3,5}:{(34,1),(36,1),(67,1)}
        53:{1,2,5,7}:{(35,1),(36,1),(68,1),(70,1)}
        54:{1,2,5,6}:{(36,1),(37,1),(38,1),(42,1),(69,1),(70,1),(71,1),(76,1),(88,1)}
        55:{2,5,7}:{(37,1),(39,1),(43,1),(72,1)}
        56:{1,5,7}:{(38,1),(39,1),(44,1),(73,1)}
        57:{3,6,7}:{(39,1),(40,1),(72,1),(73,1)}
        58:{5,6,7}:{(40,1),(103,1)}
        59:{3,4,5}:{(41,1),(45,1),(64,1),(67,1),(74,1)}
        60:{3,6}:{(41,1),(42,1),(75,1)}
        61:{1,2,4,7}:{(42,1),(43,1),(44,1),(47,1),(66,1),(71,1),(75,1),(77,1),(89,1),(92,1)}
        62:{1,4,6}:{(45,1),(46,1),(74,1),(76,1),(77,1)}
        63:{1,3,7}:{(46,1),(47,1),(75,1),(77,1)}
        64:{2,4,5}:{(48,1),(59,1),(78,1)}
        65:{2,3,6}:{(48,1),(49,1),(60,1),(78,1),(79,1)}
        66:{1,2,7}:{(49,1),(50,1),(79,1)}
        67:{4,5}:{(52,1),(81,1)}
        68:{3,5,7}:{(51,1),(52,1),(53,1),(80,1),(82,1)}
        69:{3,5,6}:{(52,1),(54,1),(60,1),(81,1),(82,1),(83,1),(98,1)}
        70:{1,2,6}:{(53,1),(82,1)}
        71:{1,2,5,7}:{(54,1),(55,1),(56,1),(61,1),(83,1),(84,1),(87,1),(96,1)}
        72:{2,6,7}:{(55,1),(57,1)}
        73:{1,6,7}:{(56,1),(57,1)}
        74:{3,4,6}:{(59,1),(60,1),(62,1),(78,1),(81,1),(85,1),(86,1)}
        75:{3,7}:{(60,1),(61,1)}
        76:{1,5,6}:{(62,1),(85,1),(87,1)}
        77:{1,4,7}:{(62,1),(63,1),(86,1),(87,1)}
        78:{2,4,6}:{(64,1),(65,1),(74,1),(88,1),(89,1)}
        79:{2,3,7}:{(65,1),(66,1),(75,1),(89,1)}
        80:{4,5,7}:{(67,1),(68,1),(91,1),(92,1),(103,1)}
        81:{4,6}:{(67,1),(69,1),(92,1)}
        82:{3,6}:{(68,1),(70,1),(91,1)}
        83:{3,5,7}:{(69,1),(71,1),(75,1),(92,1),(93,1),(103,1)}
        84:{1,2,6,7}:{(70,1),(71,1),(72,1),(73,1),(93,1),(95,1),(101,1)}
        85:{3,5,6}:{(74,1),(76,1),(88,1),(90,1),(94,1)}
        86:{3,4,7}:{(74,1),(75,1),(77,1),(89,1),(92,1),(94,1)}
        87:{1,5,7}:{(76,1),(77,1),(94,1),(95,1)}
        88:{2,5,6}:{(78,1),(85,1),(96,1)}
        89:{2,4,7}:{(78,1),(79,1),(86,1),(96,1)}
        90:{4,5,6}:{(81,1),(85,1),(97,1),(98,1)}
        91:{4,6}:{(80,1),(82,1),(98,1)}
        92:{4,7}:{(81,1),(83,1)}
        93:{3,6,7}:{(82,1),(83,1),(84,1),(99,1)}
        94:{3,5,7}:{(85,1),(86,1),(87,1),(96,1),(97,1),(100,1)}
        95:{1,6,7}:{(87,1),(100,1)}
        96:{2,5,7}:{(88,1),(89,1),(94,1),(101,1)}
        97:{4,5,7}:{(90,1),(92,1),(94,1),(102,1),(103,1)}
        98:{5,6}:{(91,1),(103,1)}
        99:{4,6,7}:{(91,1),(92,1),(93,1),(103,1)}
       100:{3,6,7}:{(94,1),(95,1),(101,1),(102,1)}
       101:{2,6,7}:{(96,1),(100,1)}
       102:{4,6,7}:{(97,1),(100,1),(104,1)}
       103:{5,7}:{(98,1),(99,1)}
       104:{5,6,7}:{(102,1),(103,1)}

1134 :  0:{2,3,4}:{(2,1),(3,1),(47,1)}
        1:{3,4,5}:{(6,1),(7,1),(8,1),(34,1),(73,1)}
        2:{2,3,5}:{(0,1),(8,1),(9,1),(10,1),(34,1)}
        3:{1,2,4}:{(0,1),(10,1),(11,1),(37,1)}
        4:{1,3,4}:{(12,1),(13,1),(47,1)}
        5:{4,5,6}:{(15,1),(16,1),(65,1),(83,1)}
        6:{3,4,6}:{(1,1),(16,1),(17,1),(18,1),(19,1),(46,1),(65,1)}
        7:{1,4,5}:{(1,1),(12,1),(18,1)}
        8:{2,4,5}:{(1,1),(2,1),(19,1)}
        9:{2,3,6}:{(2,1),(19,1),(21,1),(22,1),(46,1)}
       10:{1,2,5}:{(2,1),(3,1),(22,1),(23,1)}
       11:{1,3}:{(3,1)}
       12:{1,3,5}:{(4,1),(7,1),(24,1),(25,1),(34,1)}
       13:{1,2,4}:{(4,1),(25,1),(26,1),(52,1)}
       14:{5,6,7}:{(27,1),(81,1)}
       15:{4,5,7}:{(5,1),(27,1),(28,1),(72,1),(81,1)}
       16:{3,5,6}:{(5,1),(6,1),(28,1),(29,1),(30,1)}
       17:{3,4,7}:{(6,1),(28,1),(31,1),(32,1),(57,1),(72,1)}
       18:{1,4,6}:{(6,1),(7,1),(24,1),(29,1),(31,1)}
       19:{2,4,6}:{(6,1),(8,1),(9,1),(30,1),(32,1)}
       20:{1,2,4,5}:{(7,1),(8,1),(10,1),(25,1),(33,1),(34,1),(37,1),(52,1),(60,1),(70,1),(73,1)}
       21:{2,3,7}:{(9,1),(32,1),(35,1),(57,1)}
       22:{1,2,6}:{(9,1),(10,1),(35,1),(36,1)}
       23:{1,3,5}:{(10,1),(11,1),(34,1),(36,1),(37,1),(60,1)}
       24:{1,3,6}:{(12,1),(18,1),(38,1),(39,1),(46,1)}
       25:{1,2,5}:{(12,1),(13,1),(39,1),(40,1)}
       26:{2,3}:{(13,1)}
       27:{4,6,7}:{(14,1),(15,1),(41,1)}
       28:{3,5,7}:{(15,1),(16,1),(17,1),(41,1),(42,1),(43,1)}
       29:{1,5,6}:{(16,1),(18,1),(42,1)}
       30:{2,5,6}:{(16,1),(19,1),(43,1)}
       31:{1,4,7}:{(17,1),(18,1),(38,1),(42,1)}
       32:{2,4,7}:{(17,1),(19,1),(21,1),(43,1)}
       33:{1,2,4,6}:{(18,1),(19,1),(20,1),(22,1),(39,1),(44,1),(45,1),(46,1),(49,1),(62,1),(65,1)}
       34:{3,5}:{(20,1),(46,1),(47,1)}
       35:{1,2,7}:{(21,1),(22,1),(48,1)}
       36:{1,3,6}:{(22,1),(23,1),(46,1),(48,1),(49,1)}
       37:{1,4}:{(23,1),(47,1)}
       38:{1,3,7}:{(24,1),(31,1),(50,1),(57,1)}
       39:{1,2,6}:{(24,1),(25,1),(50,1),(51,1)}
       40:{2,3,5}:{(25,1),(26,1),(34,1),(51,1),(52,1),(70,1)}
       41:{3,6,7}:{(27,1),(28,1),(53,1),(54,1)}
       42:{1,5,7}:{(28,1),(29,1),(31,1),(53,1)}
       43:{2,5,7}:{(28,1),(30,1),(32,1),(54,1)}
       44:{1,2,5,6}:{(29,1),(30,1),(33,1),(55,1),(56,1),(60,1),(70,1),(75,1),(80,1)}
       45:{1,2,4,7}:{(31,1),(32,1),(33,1),(35,1),(50,1),(55,1),(57,1),(59,1),(69,1),(72,1)}
       46:{3,6}:{(33,1),(34,1),(57,1)}
       47:{3,4}:{(34,1),(37,1),(52,1)}
       48:{1,3,7}:{(35,1),(36,1),(57,1),(59,1)}
       49:{1,4,6}:{(36,1),(37,1),(58,1),(59,1),(60,1),(75,1)}
       50:{1,2,7}:{(38,1),(39,1),(61,1)}
       51:{2,3,6}:{(39,1),(40,1),(46,1),(61,1),(62,1)}
       52:{2,4}:{(40,1),(47,1)}
       53:{1,6,7}:{(41,1),(42,1)}
       54:{2,6,7}:{(41,1),(43,1)}
       55:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(63,1),(64,1),(68,1),(76,1)}
       56:{3,5,6}:{(44,1),(46,1),(64,1),(65,1),(67,1),(79,1),(83,1)}
       57:{3,7}:{(45,1),(46,1)}
       58:{3,4,6}:{(46,1),(47,1),(49,1),(62,1),(65,1),(66,1),(67,1),(79,1)}
       59:{1,4,7}:{(48,1),(49,1),(66,1),(68,1)}
       60:{1,5}:{(49,1),(67,1)}
       61:{2,3,7}:{(50,1),(51,1),(57,1),(69,1)}
       62:{2,4,6}:{(51,1),(52,1),(58,1),(69,1),(70,1),(80,1)}
       63:{1,2,6,7}:{(53,1),(54,1),(55,1),(71,1),(75,1),(80,1)}
       64:{3,5,7}:{(55,1),(56,1),(57,1),(71,1),(72,1),(81,1)}
       65:{4,6}:{(56,1),(72,1),(73,1)}
       66:{3,4,7}:{(57,1),(58,1),(59,1),(69,1),(72,1),(74,1)}
       67:{3,5}:{(58,1),(60,1),(70,1),(73,1)}
       68:{1,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{2,4,7}:{(61,1),(62,1),(66,1),(76,1)}
       70:{2,5}:{(62,1),(67,1)}
       71:{3,6,7}:{(63,1),(64,1),(77,1),(79,1)}
       72:{4,7}:{(64,1),(65,1)}
       73:{4,5}:{(65,1),(67,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(78,1),(79,1)}
       75:{1,6}:{(68,1),(79,1)}
       76:{2,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       78:{4,5,7}:{(72,1),(73,1),(74,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(82,1)}
       80:{2,6}:{(76,1),(79,1)}
       81:{5,7}:{(77,1),(83,1)}
       82:{4,6}:{(78,1),(79,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

1135 :   0:{1,2,4,5,6}:{(1,1),(2,1),(13,1),(14,1),(16,1),(38,1),(77,1),(78,1),(79,1),(80,1),(98,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(4,1),(7,1),(57,1),(90,1),(101,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(30,1),(31,1),(33,1),(69,1),(70,1),(71,1)}
         3:{2,3,4,6}:{(10,1),(11,1),(12,1),(14,1),(44,1),(48,1),(75,1),(96,1)}
         4:{3,4,6}:{(1,1),(9,1),(13,1),(14,1),(15,1),(48,1),(75,1)}
         5:{1,3,5,6}:{(1,1),(13,1),(16,1),(17,1),(37,1),(42,1),(48,1),(74,1),(78,1),(82,1),(97,1),(98,1)}
         6:{2,3,5,6}:{(1,1),(10,1),(14,1),(16,1),(18,1),(44,1),(48,1),(72,1),(79,1),(95,1),(97,1),(103,1)}
         7:{3,5,7}:{(1,1),(2,1),(15,1),(19,1)}
         8:{1,2,4,6,7}:{(2,1),(19,1),(20,1),(50,1),(51,1),(53,1),(54,1),(77,1)}
         9:{3,4,5}:{(4,1),(21,1),(22,1),(57,1),(101,1)}
        10:{2,3,5}:{(3,1),(22,1),(24,1),(57,1),(101,1)}
        11:{1,2,4,6}:{(3,1),(24,1),(26,1),(27,1),(62,1),(64,1),(92,1)}
        12:{2,3,4,7}:{(3,1),(25,1),(27,1),(31,1),(67,1),(89,1)}
        13:{1,4,6}:{(4,1),(5,1),(21,1),(30,1),(62,1),(102,1)}
        14:{2,4,6}:{(4,1),(6,1),(22,1),(31,1),(86,1),(102,1)}
        15:{3,4,7}:{(4,1),(7,1),(30,1),(31,1),(67,1)}
        16:{1,2,5,6}:{(5,1),(6,1),(24,1),(29,1),(33,1),(55,1),(64,1),(88,1)}
        17:{1,3,5,7}:{(5,1),(7,1),(30,1),(33,1),(34,1),(67,1),(69,1),(93,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(31,1),(33,1),(35,1),(67,1),(70,1),(93,1)}
        19:{3,6,7}:{(7,1),(8,1),(90,1)}
        20:{1,2,5,6,7}:{(8,1),(36,1),(69,1),(70,1),(91,1)}
        21:{1,4,5}:{(9,1),(13,1),(37,1),(98,1),(104,1)}
        22:{2,4,5}:{(9,1),(10,1),(14,1),(103,1),(104,1)}
        23:{3,4,5,7}:{(9,1),(15,1),(39,1),(40,1),(41,1),(52,1),(76,1),(99,1),(104,1)}
        24:{1,2,5}:{(10,1),(11,1),(42,1),(98,1)}
        25:{2,3,5,7}:{(10,1),(12,1),(40,1),(43,1),(44,1),(76,1)}
        26:{1,3,6}:{(11,1),(42,1),(45,1),(48,1)}
        27:{1,2,4,7}:{(11,1),(12,1),(43,1),(45,1),(81,1)}
        28:{1,3,4,6}:{(13,1),(37,1),(46,1),(47,1),(48,1),(74,1),(75,1),(96,1)}
        29:{1,2,4,6}:{(13,1),(14,1),(16,1),(38,1),(48,1),(49,1)}
        30:{1,4,7}:{(13,1),(15,1),(17,1),(99,1)}
        31:{2,4,7}:{(14,1),(15,1),(18,1),(99,1)}
        32:{3,4,6,7}:{(15,1),(19,1),(41,1),(50,1),(51,1),(52,1),(54,1),(84,1),(96,1),(99,1)}
        33:{1,2,5,7}:{(16,1),(17,1),(18,1),(49,1),(53,1)}
        34:{1,3,6,7}:{(17,1),(19,1),(50,1),(53,1),(74,1),(82,1),(84,1)}
        35:{2,3,6,7}:{(18,1),(19,1),(44,1),(51,1),(53,1),(84,1),(95,1)}
        36:{3,5,6,7}:{(19,1),(20,1),(52,1),(54,1),(97,1)}
        37:{1,3,5}:{(21,1),(28,1),(55,1),(57,1),(101,1)}
        38:{1,2,4,5}:{(21,1),(22,1),(24,1),(29,1),(55,1),(57,1),(62,1),(86,1)}
        39:{1,4,5,7}:{(21,1),(23,1),(30,1),(56,1),(59,1),(69,1)}
        40:{2,4,5,7}:{(22,1),(23,1),(25,1),(31,1),(60,1),(70,1)}
        41:{3,4,6}:{(23,1),(59,1),(60,1),(61,1),(90,1),(102,1)}
        42:{1,3,5}:{(24,1),(26,1),(57,1),(62,1)}
        43:{1,2,5,7}:{(24,1),(25,1),(27,1),(63,1),(64,1)}
        44:{2,3,6}:{(25,1),(60,1),(64,1),(90,1)}
        45:{1,3,7}:{(26,1),(27,1),(67,1)}
        46:{1,2,4,6}:{(28,1),(55,1),(65,1),(66,1),(86,1),(88,1),(100,1)}
        47:{1,3,4,7}:{(28,1),(30,1),(56,1),(66,1),(67,1),(89,1)}
        48:{3,6}:{(29,1),(57,1),(67,1)}
        49:{1,2,4,7}:{(29,1),(30,1),(31,1),(33,1),(67,1)}
        50:{1,4,6,7}:{(30,1),(32,1),(34,1),(59,1),(69,1),(92,1)}
        51:{2,4,6,7}:{(31,1),(32,1),(35,1),(60,1),(70,1),(100,1)}
        52:{3,5,7}:{(32,1),(61,1),(69,1),(70,1),(71,1),(101,1)}
        53:{1,2,6,7}:{(33,1),(34,1),(35,1),(64,1),(88,1)}
        54:{4,6,7}:{(36,1),(71,1),(102,1)}
        55:{1,2,5}:{(37,1),(46,1),(72,1),(103,1)}
        56:{1,3,5,7}:{(37,1),(39,1),(47,1),(73,1),(74,1),(76,1)}
        57:{3,5}:{(38,1),(48,1),(75,1)}
        58:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(49,1),(73,1),(76,1),(77,1),(81,1),(85,1),(94,1),(98,1),(99,1),(103,1),(104,1)}
        59:{1,4,6}:{(39,1),(41,1),(74,1),(78,1)}
        60:{2,4,6}:{(40,1),(41,1),(44,1),(79,1)}
        61:{3,5,6}:{(41,1),(52,1),(78,1),(79,1),(80,1)}
        62:{1,4}:{(42,1),(75,1)}
        63:{1,3,5,7}:{(42,1),(43,1),(45,1),(76,1),(81,1),(82,1),(98,1)}
        64:{1,2,6}:{(43,1),(44,1),(82,1)}
        65:{2,3,6}:{(46,1),(48,1),(72,1),(83,1)}
        66:{1,2,4,7}:{(46,1),(47,1),(73,1),(83,1),(94,1)}
        67:{3,7}:{(48,1),(49,1)}
        68:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(53,1),(77,1),(84,1),(85,1),(99,1)}
        69:{1,5,7}:{(50,1),(52,1),(78,1),(98,1)}
        70:{2,5,7}:{(51,1),(52,1),(79,1),(103,1)}
        71:{4,5,7}:{(52,1),(54,1),(80,1),(99,1),(104,1)}
        72:{2,3,5}:{(55,1),(57,1),(65,1),(86,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(66,1),(87,1),(88,1)}
        74:{1,3,6}:{(56,1),(59,1),(88,1),(90,1)}
        75:{3,4}:{(57,1),(62,1),(86,1)}
        76:{3,5,7}:{(57,1),(58,1),(67,1),(89,1),(90,1),(101,1)}
        77:{1,2,4,6}:{(58,1),(59,1),(60,1),(64,1),(88,1),(90,1),(91,1),(92,1),(100,1),(102,1)}
        78:{1,5,6}:{(59,1),(61,1),(69,1)}
        79:{2,5,6}:{(60,1),(61,1),(70,1)}
        80:{4,5,6}:{(61,1),(71,1),(102,1)}
        81:{1,4,7}:{(62,1),(63,1),(89,1),(92,1)}
        82:{1,3,6}:{(63,1),(64,1),(90,1),(92,1)}
        83:{2,3,7}:{(65,1),(66,1),(67,1)}
        84:{3,6,7}:{(67,1),(68,1),(90,1),(93,1)}
        85:{1,2,5,7}:{(68,1),(69,1),(70,1),(91,1),(93,1)}
        86:{2,4}:{(72,1),(75,1)}
        87:{2,3,5,7}:{(72,1),(73,1),(76,1),(83,1),(94,1),(95,1),(103,1)}
        88:{1,2,6}:{(73,1),(74,1),(95,1)}
        89:{3,4,7}:{(75,1),(76,1),(81,1),(94,1),(96,1),(99,1)}
        90:{3,6}:{(76,1),(77,1)}
        91:{1,2,5,6}:{(77,1),(78,1),(79,1),(85,1),(97,1),(98,1),(103,1)}
        92:{1,4,6}:{(81,1),(82,1),(96,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(97,1),(99,1)}
        94:{2,4,7}:{(86,1),(87,1),(89,1),(100,1)}
        95:{2,3,6}:{(87,1),(88,1),(90,1),(100,1)}
        96:{3,4,6}:{(89,1),(90,1),(92,1),(100,1),(101,1),(102,1)}
        97:{3,5,6}:{(90,1),(91,1),(93,1),(101,1),(102,1)}
        98:{1,5}:{(92,1),(101,1)}
        99:{4,7}:{(93,1),(102,1)}
       100:{2,4,6}:{(94,1),(95,1),(96,1),(103,1)}
       101:{3,5}:{(96,1),(98,1),(103,1),(104,1)}
       102:{4,6}:{(97,1),(99,1),(104,1)}
       103:{2,5}:{(100,1),(101,1)}
       104:{4,5}:{(101,1),(102,1)}

1136 :   0:{1,3,4,5,7}:{(1,1),(2,1),(9,1),(25,1),(64,1),(77,1),(82,1),(115,1),(121,1),(135,1)}
         1:{1,2,4,5,7}:{(0,1),(4,1),(5,1),(14,1),(18,1),(46,1),(53,1),(58,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(6,1),(59,1),(142,1),(149,1),(162,1)}
         3:{1,3,4,6,7}:{(2,1),(8,1),(9,1),(31,1),(73,1),(77,1),(131,1)}
         4:{2,3,5,7}:{(1,1),(10,1),(11,1),(37,1),(121,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(38,1)}
         6:{1,3,5,6}:{(2,1),(9,1),(12,1),(13,1),(39,1),(64,1),(184,1)}
         7:{1,2,3,5,7}:{(4,1),(14,1),(15,1),(41,1),(46,1)}
         8:{1,2,4,6,7}:{(3,1),(5,1),(17,1),(18,1),(53,1)}
         9:{1,3,5,7}:{(3,1),(6,1),(18,1),(19,1),(54,1),(160,1)}
        10:{2,3,4,7}:{(4,1),(14,1),(21,1),(53,1),(92,1)}
        11:{2,3,6}:{(4,1),(5,1),(149,1)}
        12:{1,2,5,6}:{(5,1),(6,1),(18,1),(22,1),(46,1)}
        13:{1,4,5,6}:{(6,1),(19,1),(24,1),(89,1),(142,1)}
        14:{1,2,4,7}:{(7,1),(10,1),(25,1),(28,1)}
        15:{1,2,3,6}:{(7,1),(11,1),(28,1),(63,1)}
        16:{1,3,5,6,7}:{(9,1),(30,1),(31,1),(71,1),(73,1),(114,1)}
        17:{2,3,6,7}:{(8,1),(11,1),(33,1),(73,1)}
        18:{1,2,5,7}:{(8,1),(9,1),(12,1),(33,1)}
        19:{1,4,5,7}:{(9,1),(13,1),(31,1),(35,1)}
        20:{2,3,4,5,7}:{(10,1),(27,1),(36,1),(37,1),(76,1),(80,1),(118,1),(121,1),(169,1),(170,1)}
        21:{2,3,4,6}:{(10,1),(11,1),(28,1),(37,1),(38,1),(70,1)}
        22:{2,3,5,6}:{(11,1),(12,1),(33,1),(37,1),(38,1),(39,1)}
        23:{1,2,4,5,6}:{(12,1),(13,1),(34,1),(38,1),(39,1),(40,1),(69,1),(83,1),(85,1),(120,1),(129,1),(184,1)}
        24:{3,4,5,6}:{(13,1),(35,1),(39,1),(40,1),(118,1),(168,1)}
        25:{1,3,4,7}:{(14,1),(41,1),(42,1),(92,1),(144,1)}
        26:{1,2,3,6,7}:{(15,1),(17,1),(43,1),(44,1),(87,1),(101,1),(149,1),(196,1),(197,1)}
        27:{1,2,4,5,7}:{(14,1),(20,1),(41,1),(45,1),(46,1),(89,1),(93,1),(144,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(21,1),(42,1),(46,1)}
        29:{1,2,3,5,6}:{(15,1),(22,1),(44,1),(46,1),(47,1),(60,1),(88,1),(90,1),(95,1),(149,1),(155,1),(156,1),(157,1),(197,1)}
        30:{1,2,5,6,7}:{(16,1),(18,1),(49,1),(50,1),(90,1),(98,1),(160,1)}
        31:{1,4,6,7}:{(16,1),(19,1),(51,1),(142,1)}
        32:{2,3,4,6,7}:{(17,1),(21,1),(43,1),(52,1),(53,1),(92,1),(100,1),(104,1),(149,1)}
        33:{2,3,5,7}:{(17,1),(18,1),(22,1),(53,1),(54,1)}
        34:{1,2,4,5,7}:{(18,1),(19,1),(23,1),(50,1),(53,1),(54,1),(55,1),(99,1),(106,1),(108,1),(160,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(51,1),(54,1),(55,1)}
        36:{2,3,4,6}:{(20,1),(45,1),(57,1),(104,1),(145,1),(149,1),(190,1)}
        37:{2,3,5}:{(21,1),(46,1),(58,1),(95,1)}
        38:{2,4,6}:{(22,1),(53,1),(58,1),(59,1)}
        39:{3,5,6}:{(23,1),(54,1),(59,1),(95,1),(149,1)}
        40:{2,4,5,6}:{(24,1),(55,1),(61,1),(147,1),(190,1)}
        41:{1,3,5,7}:{(25,1),(27,1),(63,1),(64,1),(121,1)}
        42:{1,3,4,6}:{(25,1),(28,1),(63,1),(64,1),(70,1),(117,1)}
        43:{1,2,4,6,7}:{(26,1),(28,1),(32,1),(62,1),(65,1),(66,1),(120,1),(131,1),(203,1)}
        44:{1,2,3,5,7}:{(26,1),(29,1),(33,1),(65,1),(66,1),(78,1),(116,1),(121,1),(177,1),(178,1),(180,1)}
        45:{1,2,4,6}:{(27,1),(36,1),(63,1),(68,1),(117,1)}
        46:{1,2,5}:{(28,1),(37,1),(64,1)}
        47:{1,2,4,6}:{(29,1),(38,1),(66,1),(69,1),(70,1),(83,1),(117,1),(172,1)}
        48:{1,4,5,6,7}:{(31,1),(71,1),(166,1)}
        49:{2,3,5,6,7}:{(30,1),(33,1),(72,1),(73,1),(75,1),(130,1)}
        50:{1,2,4,6,7}:{(30,1),(31,1),(34,1),(72,1),(73,1),(74,1),(120,1),(131,1),(132,1)}
        51:{3,4,6,7}:{(31,1),(35,1),(71,1),(73,1),(74,1),(168,1)}
        52:{2,3,5,7}:{(32,1),(37,1),(65,1),(75,1),(76,1),(121,1),(130,1)}
        53:{2,4,7}:{(33,1),(38,1),(77,1)}
        54:{3,5,7}:{(34,1),(39,1),(73,1),(77,1)}
        55:{2,4,5,7}:{(35,1),(40,1),(74,1),(79,1)}
        56:{2,3,4,6,7}:{(36,1),(67,1),(80,1),(133,1),(170,1),(174,1),(203,1)}
        57:{2,3,5,6}:{(36,1),(37,1),(68,1),(80,1),(81,1),(125,1),(202,1)}
        58:{2,4,5}:{(37,1),(38,1),(82,1)}
        59:{3,4,6}:{(38,1),(39,1),(77,1),(82,1),(83,1)}
        60:{1,3,5,6}:{(39,1),(78,1),(83,1),(85,1),(126,1),(140,1),(175,1),(184,1)}
        61:{2,3,5,6}:{(39,1),(40,1),(79,1),(84,1),(85,1),(127,1),(176,1)}
        62:{1,3,4,6,7}:{(42,1),(43,1),(86,1),(87,1),(92,1),(142,1),(144,1),(149,1),(189,1)}
        63:{1,3,6}:{(41,1),(45,1),(149,1)}
        64:{1,3,5}:{(42,1),(46,1),(89,1),(95,1)}
        65:{1,2,5,7}:{(43,1),(46,1),(52,1),(86,1),(90,1),(160,1),(208,1)}
        66:{1,2,4,7}:{(44,1),(47,1),(53,1),(92,1),(106,1),(144,1),(192,1)}
        67:{1,2,4,6,7}:{(45,1),(56,1),(87,1),(93,1),(144,1)}
        68:{1,2,5,6}:{(45,1),(46,1),(57,1),(88,1),(93,1)}
        69:{1,2,4,5}:{(46,1),(47,1),(58,1),(89,1),(95,1),(111,1),(147,1),(156,1)}
        70:{3,4,6}:{(47,1),(92,1),(95,1),(149,1)}
        71:{3,5,6,7}:{(48,1),(51,1),(98,1),(188,1)}
        72:{2,4,6,7}:{(49,1),(53,1),(99,1),(100,1),(104,1)}
        73:{3,6,7}:{(50,1),(54,1),(149,1)}
        74:{2,4,6,7}:{(51,1),(55,1),(98,1),(102,1),(190,1)}
        75:{2,3,5,6}:{(52,1),(90,1),(104,1),(149,1),(159,1)}
        76:{2,4,5,7}:{(52,1),(53,1),(58,1),(104,1),(105,1)}
        77:{3,4,7}:{(53,1),(54,1),(59,1),(106,1)}
        78:{1,3,5,7}:{(54,1),(60,1),(101,1),(106,1),(108,1),(160,1),(163,1)}
        79:{2,3,5,7}:{(54,1),(55,1),(61,1),(102,1),(107,1),(108,1)}
        80:{2,3,5,7}:{(56,1),(57,1),(93,1),(109,1),(153,1),(208,1)}
        81:{2,4,5,6}:{(57,1),(58,1),(104,1),(109,1),(110,1)}
        82:{3,4,5}:{(58,1),(59,1),(95,1),(111,1)}
        83:{1,4,6}:{(59,1),(60,1),(106,1),(111,1)}
        84:{2,3,4,6}:{(59,1),(61,1),(107,1),(112,1),(113,1)}
        85:{1,2,5,6}:{(60,1),(61,1),(108,1),(113,1),(156,1),(197,1)}
        86:{1,3,5,7}:{(62,1),(64,1),(65,1),(114,1),(115,1),(121,1),(201,1)}
        87:{1,3,6,7}:{(63,1),(67,1),(116,1),(174,1)}
        88:{1,3,5,6}:{(63,1),(64,1),(68,1),(116,1),(117,1),(125,1)}
        89:{1,4,5}:{(64,1),(117,1),(118,1)}
        90:{1,2,5,6}:{(65,1),(75,1),(114,1),(120,1),(184,1),(202,1)}
        91:{1,2,4,5,7}:{(65,1),(66,1),(69,1),(76,1),(115,1),(120,1),(121,1),(135,1),(169,1),(177,1)}
        92:{3,4,7}:{(66,1),(70,1),(121,1)}
        93:{1,2,5,7}:{(67,1),(68,1),(80,1),(116,1)}
        94:{1,2,4,5,6}:{(68,1),(69,1),(81,1),(117,1),(120,1),(124,1),(125,1),(138,1),(166,1),(172,1),(181,1),(202,1)}
        95:{3,5}:{(69,1),(70,1)}
        96:{1,3,4,6}:{(70,1),(83,1),(122,1),(126,1),(128,1),(140,1),(175,1),(186,1)}
        97:{2,3,4,6}:{(70,1),(123,1),(127,1),(128,1),(172,1),(176,1),(205,1),(206,1)}
        98:{2,5,6,7}:{(71,1),(74,1),(202,1)}
        99:{2,4,5,7}:{(72,1),(129,1),(130,1)}
       100:{3,4,6,7}:{(72,1),(73,1),(77,1),(130,1),(131,1),(134,1)}
       101:{1,3,6,7}:{(73,1),(78,1),(131,1),(132,1),(175,1)}
       102:{2,3,6,7}:{(73,1),(74,1),(79,1),(132,1),(176,1)}
       103:{2,3,5,6,7}:{(75,1),(80,1),(119,1),(133,1),(174,1),(183,1)}
       104:{2,4,6}:{(75,1),(76,1),(134,1)}
       105:{3,4,5,7}:{(76,1),(77,1),(82,1),(121,1),(130,1),(134,1),(135,1)}
       106:{1,4,7}:{(77,1),(78,1),(83,1)}
       107:{2,3,4,7}:{(77,1),(79,1),(84,1),(136,1)}
       108:{1,2,5,7}:{(78,1),(79,1),(85,1),(132,1),(136,1)}
       109:{2,4,5,7}:{(80,1),(81,1),(133,1),(137,1)}
       110:{3,4,5,6}:{(81,1),(82,1),(125,1),(134,1),(137,1),(138,1)}
       111:{1,4,5}:{(82,1),(83,1),(126,1)}
       112:{2,3,4,5}:{(82,1),(84,1),(127,1),(139,1),(206,1)}
       113:{1,2,4,6}:{(83,1),(84,1),(85,1),(136,1),(139,1),(140,1)}
       114:{1,3,5,6}:{(86,1),(90,1),(142,1),(149,1),(188,1)}
       115:{1,4,5,7}:{(86,1),(89,1),(142,1),(143,1),(144,1)}
       116:{1,3,5,7}:{(87,1),(88,1),(93,1),(144,1),(153,1)}
       117:{1,4,6}:{(88,1),(89,1),(144,1),(145,1)}
       118:{3,4,5}:{(89,1),(95,1),(145,1),(147,1)}
       119:{1,2,5,6,7}:{(90,1),(93,1),(103,1),(141,1),(148,1),(200,1),(208,1)}
       120:{1,2,4,6}:{(90,1),(91,1),(104,1),(142,1),(149,1),(162,1),(190,1),(197,1)}
       121:{3,5,7}:{(91,1),(92,1),(95,1),(149,1)}
       122:{1,3,4,7}:{(92,1),(96,1),(106,1),(150,1),(152,1),(163,1)}
       123:{2,3,4,7}:{(92,1),(97,1),(151,1),(152,1),(192,1),(209,1)}
       124:{1,2,4,5,7}:{(93,1),(94,1),(109,1),(144,1),(148,1),(153,1),(164,1),(187,1),(192,1),(198,1),(208,1)}
       125:{3,5,6}:{(94,1),(95,1),(145,1),(149,1),(153,1)}
       126:{1,3,5}:{(95,1),(96,1),(111,1),(156,1)}
       127:{2,3,5}:{(95,1),(97,1),(147,1),(156,1)}
       128:{1,2,4,6}:{(96,1),(97,1),(152,1),(156,1),(157,1),(197,1),(199,1)}
       129:{2,4,5,6}:{(99,1),(104,1),(159,1)}
       130:{3,5,7}:{(99,1),(100,1),(159,1),(160,1)}
       131:{1,4,6,7}:{(100,1),(101,1),(106,1),(160,1),(162,1)}
       132:{1,2,6,7}:{(101,1),(102,1),(108,1),(197,1)}
       133:{2,4,6,7}:{(103,1),(104,1),(109,1),(161,1)}
       134:{3,4,6}:{(104,1),(105,1),(149,1),(159,1),(162,1)}
       135:{1,4,5,7}:{(105,1),(106,1),(111,1),(150,1),(160,1),(162,1)}
       136:{1,2,4,7}:{(106,1),(107,1),(108,1),(113,1),(163,1)}
       137:{3,4,5,7}:{(109,1),(110,1),(153,1),(161,1),(164,1)}
       138:{1,4,5,6}:{(110,1),(111,1),(154,1),(162,1),(164,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(113,1),(156,1),(165,1),(199,1)}
       140:{1,3,6}:{(113,1),(163,1),(165,1)}
       141:{1,3,5,6,7}:{(114,1),(116,1),(119,1),(167,1),(174,1),(201,1)}
       142:{1,4,6}:{(114,1),(115,1),(168,1)}
       143:{3,4,5,7}:{(115,1),(118,1),(121,1),(168,1),(169,1),(170,1),(201,1)}
       144:{1,4,7}:{(116,1),(117,1),(170,1)}
       145:{3,4,6}:{(117,1),(118,1),(125,1),(170,1),(172,1)}
       146:{1,3,4,5}:{(118,1),(126,1),(171,1),(173,1),(186,1)}
       147:{2,4,5}:{(118,1),(127,1),(172,1)}
       148:{1,2,4,6,7}:{(119,1),(120,1),(124,1),(133,1),(167,1),(174,1),(185,1),(203,1),(207,1)}
       149:{3,6}:{(120,1),(121,1)}
       150:{1,3,5,7}:{(121,1),(122,1),(126,1),(135,1),(175,1),(177,1)}
       151:{2,3,5,7}:{(121,1),(123,1),(127,1),(169,1),(176,1),(177,1)}
       152:{1,2,4,7}:{(122,1),(123,1),(128,1),(177,1),(178,1)}
       153:{3,5,7}:{(124,1),(125,1),(170,1),(174,1)}
       154:{1,3,5,6}:{(125,1),(126,1),(138,1),(171,1),(175,1),(179,1),(181,1)}
       155:{2,3,5,6}:{(125,1),(127,1),(172,1),(176,1),(180,1),(181,1),(202,1),(205,1)}
       156:{1,2,5}:{(126,1),(127,1),(128,1)}
       157:{1,2,3,6}:{(128,1),(140,1),(178,1),(182,1),(205,1)}
       158:{2,4,5,6,7}:{(129,1),(133,1),(183,1)}
       159:{3,5,6}:{(129,1),(130,1),(134,1),(184,1)}
       160:{1,5,7}:{(130,1),(131,1),(184,1)}
       161:{3,4,6,7}:{(133,1),(134,1),(137,1),(174,1),(183,1),(185,1)}
       162:{1,4,6}:{(134,1),(135,1),(175,1),(184,1)}
       163:{1,3,7}:{(136,1),(140,1)}
       164:{1,4,5,7}:{(137,1),(138,1),(179,1),(185,1)}
       165:{1,3,5}:{(139,1),(140,1),(186,1)}
       166:{1,4,5,6}:{(142,1),(187,1),(188,1)}
       167:{1,4,6,7}:{(141,1),(142,1),(144,1),(187,1),(189,1)}
       168:{3,4,6}:{(142,1),(143,1),(149,1),(188,1),(190,1)}
       169:{2,4,5,7}:{(143,1),(147,1),(151,1),(190,1),(192,1),(208,1)}
       170:{3,4,7}:{(144,1),(145,1),(153,1),(192,1)}
       171:{1,3,4,6}:{(145,1),(146,1),(154,1),(191,1),(193,1)}
       172:{2,4,6}:{(145,1),(147,1),(155,1),(192,1)}
       173:{1,2,4,5}:{(146,1),(147,1),(156,1),(193,1),(194,1),(199,1)}
       174:{3,6,7}:{(148,1),(149,1),(153,1)}
       175:{1,3,6}:{(149,1),(150,1),(162,1),(197,1)}
       176:{2,3,6}:{(149,1),(151,1),(190,1),(197,1)}
       177:{1,2,5,7}:{(150,1),(151,1),(152,1),(156,1),(197,1)}
       178:{1,2,3,7}:{(152,1),(157,1),(163,1),(209,1)}
       179:{1,3,5,7}:{(153,1),(154,1),(164,1),(191,1),(195,1),(198,1)}
       180:{2,3,5,7}:{(153,1),(155,1),(192,1),(196,1),(198,1),(208,1),(209,1)}
       181:{1,2,5,6}:{(154,1),(155,1),(156,1),(193,1),(197,1),(198,1)}
       182:{1,2,3,5}:{(156,1),(157,1),(165,1),(194,1),(199,1)}
       183:{3,5,6,7}:{(158,1),(159,1),(161,1),(200,1)}
       184:{1,5,6}:{(159,1),(160,1),(162,1)}
       185:{1,4,6,7}:{(161,1),(162,1),(164,1),(195,1),(200,1)}
       186:{1,3,4}:{(165,1),(199,1)}
       187:{1,4,5,7}:{(166,1),(167,1),(201,1)}
       188:{3,5,6}:{(166,1),(168,1),(201,1),(202,1)}
       189:{3,4,6,7}:{(167,1),(168,1),(170,1),(174,1),(201,1),(203,1)}
       190:{2,4,6}:{(168,1),(169,1),(176,1),(202,1)}
       191:{1,3,4,7}:{(170,1),(171,1),(179,1),(204,1)}
       192:{2,4,7}:{(170,1),(172,1),(180,1)}
       193:{1,2,4,6}:{(171,1),(172,1),(173,1),(181,1),(204,1),(205,1)}
       194:{2,3,5}:{(173,1),(205,1),(206,1)}
       195:{1,3,6,7}:{(174,1),(175,1),(179,1),(185,1),(207,1)}
       196:{2,3,6,7}:{(174,1),(176,1),(180,1),(203,1),(207,1)}
       197:{1,2,6}:{(175,1),(176,1),(177,1)}
       198:{1,2,5,7}:{(179,1),(180,1),(181,1),(204,1),(207,1)}
       199:{1,2,4}:{(182,1),(186,1),(206,1)}
       200:{1,5,6,7}:{(183,1),(184,1),(185,1)}
       201:{3,5,7}:{(187,1),(188,1),(189,1),(208,1)}
       202:{2,5,6}:{(188,1),(190,1),(208,1)}
       203:{2,4,6,7}:{(189,1),(190,1),(192,1),(196,1),(208,1)}
       204:{1,2,4,7}:{(191,1),(192,1),(193,1),(198,1),(209,1)}
       205:{2,3,6}:{(193,1),(194,1),(209,1)}
       206:{2,3,4}:{(194,1),(199,1)}
       207:{1,2,6,7}:{(195,1),(196,1),(197,1),(198,1)}
       208:{2,5,7}:{(201,1),(202,1),(203,1)}
       209:{2,3,7}:{(204,1),(205,1)}

1137 :   0:{1,3,4,5}:{(1,1),(2,1),(31,1),(76,1),(93,1)}
         1:{1,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(67,1)}
         2:{1,2,4,5}:{(0,1),(6,1),(7,1),(18,1),(58,1),(70,1)}
         3:{3,4,5,6}:{(9,1),(10,1),(11,1),(43,1),(128,1),(186,1),(202,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(12,1),(13,1),(43,1),(76,1),(131,1)}
         5:{1,3,4,7}:{(1,1),(12,1),(14,1),(92,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(13,1),(14,1),(15,1),(46,1)}
         7:{2,3,5}:{(2,1),(15,1),(16,1)}
         8:{1,2,3,5}:{(7,1),(17,1),(18,1),(52,1),(58,1)}
         9:{3,4,5,7}:{(3,1),(21,1),(22,1),(23,1),(66,1),(177,1)}
        10:{1,4,5,6}:{(3,1),(4,1),(22,1),(100,1),(160,1)}
        11:{2,4,5,6}:{(3,1),(19,1),(23,1),(156,1),(206,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(22,1),(25,1),(26,1),(66,1)}
        13:{1,2,5,6}:{(4,1),(6,1),(26,1),(27,1),(58,1),(113,1)}
        14:{1,2,4,7}:{(5,1),(6,1),(26,1),(28,1),(69,1)}
        15:{2,3,6}:{(6,1),(7,1),(28,1)}
        16:{2,3,4}:{(7,1),(18,1)}
        17:{1,2,3,6}:{(8,1),(15,1),(34,1),(35,1),(77,1)}
        18:{1,2,4}:{(8,1),(16,1),(31,1)}
        19:{2,3,5,6}:{(11,1),(32,1),(37,1),(38,1),(43,1),(136,1),(192,1)}
        20:{4,5,6,7}:{(39,1),(149,1),(224,1)}
        21:{3,4,6,7}:{(9,1),(39,1),(40,1),(41,1),(91,1),(149,1),(186,1)}
        22:{1,4,5,7}:{(9,1),(10,1),(12,1),(40,1)}
        23:{2,4,5,7}:{(9,1),(11,1),(37,1),(41,1)}
        24:{1,2,4,5,6}:{(10,1),(11,1),(13,1),(38,1),(42,1),(43,1),(46,1),(83,1),(89,1),(143,1),(153,1),(200,1),(202,1)}
        25:{1,3,6,7}:{(12,1),(40,1),(44,1),(91,1),(131,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(14,1),(44,1),(45,1)}
        27:{2,3,5,6}:{(13,1),(15,1),(43,1),(45,1),(46,1),(48,1),(97,1),(153,1)}
        28:{2,3,7}:{(14,1),(15,1)}
        29:{2,3,4,6}:{(15,1),(16,1),(35,1),(46,1),(47,1),(48,1),(80,1),(97,1)}
        30:{2,3,4,5}:{(16,1),(36,1),(48,1),(49,1),(128,1)}
        31:{1,3,4}:{(18,1),(52,1)}
        32:{2,3,4,6}:{(19,1),(50,1),(53,1),(54,1),(67,1)}
        33:{1,2,3,5,6}:{(17,1),(27,1),(55,1),(56,1),(58,1),(62,1),(102,1),(104,1),(109,1),(113,1),(164,1),(166,1),(170,1),(172,1),(212,1)}
        34:{1,2,3,7}:{(17,1),(28,1),(57,1),(103,1)}
        35:{1,2,4,6}:{(17,1),(18,1),(29,1),(51,1),(57,1),(58,1),(113,1)}
        36:{1,2,4,5}:{(18,1),(30,1),(52,1),(58,1),(59,1),(100,1)}
        37:{2,3,5,7}:{(19,1),(23,1),(53,1),(60,1),(61,1),(66,1)}
        38:{1,2,5,6}:{(19,1),(54,1),(61,1),(62,1),(164,1),(212,1)}
        39:{3,5,6,7}:{(20,1),(21,1),(63,1),(64,1),(209,1)}
        40:{1,4,6,7}:{(21,1),(22,1),(25,1),(63,1),(160,1)}
        41:{2,4,6,7}:{(21,1),(23,1),(60,1),(64,1),(206,1)}
        42:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(26,1),(61,1),(65,1),(66,1),(69,1),(116,1),(122,1),(174,1),(177,1)}
        43:{3,5,6}:{(24,1),(66,1),(67,1),(109,1),(170,1)}
        44:{1,2,6,7}:{(25,1),(26,1),(68,1),(113,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(28,1),(66,1),(68,1),(69,1),(122,1)}
        46:{2,4,6}:{(27,1),(67,1),(69,1),(70,1)}
        47:{2,3,4,7}:{(28,1),(29,1),(57,1),(69,1),(71,1),(108,1)}
        48:{2,3,5}:{(29,1),(58,1),(70,1),(109,1)}
        49:{2,3,4,6}:{(30,1),(59,1),(72,1),(73,1),(159,1)}
        50:{2,3,4,5}:{(32,1),(74,1),(93,1),(136,1),(181,1)}
        51:{1,3,4,6}:{(31,1),(35,1),(75,1),(76,1),(77,1),(80,1),(130,1),(131,1)}
        52:{1,3,5}:{(31,1),(36,1),(77,1)}
        53:{2,3,4,7}:{(32,1),(37,1),(78,1),(92,1)}
        54:{1,2,4,6}:{(32,1),(38,1),(74,1),(78,1),(79,1),(89,1)}
        55:{1,2,3,5,7}:{(33,1),(34,1),(45,1),(81,1),(82,1),(84,1),(88,1),(132,1),(133,1),(140,1),(142,1),(190,1),(193,1)}
        56:{1,2,4,6}:{(33,1),(46,1),(80,1),(82,1),(83,1),(89,1),(130,1),(184,1)}
        57:{1,2,4,7}:{(34,1),(35,1),(47,1),(75,1),(84,1)}
        58:{1,2,5}:{(35,1),(48,1),(76,1)}
        59:{1,2,4,6}:{(36,1),(49,1),(77,1),(85,1),(86,1),(130,1)}
        60:{2,3,6,7}:{(37,1),(41,1),(87,1),(91,1),(192,1)}
        61:{1,2,5,7}:{(37,1),(38,1),(78,1),(87,1),(88,1)}
        62:{1,3,5,6}:{(38,1),(43,1),(79,1),(88,1),(89,1),(138,1),(194,1),(200,1)}
        63:{1,5,6,7}:{(39,1),(40,1),(188,1)}
        64:{2,5,6,7}:{(39,1),(41,1),(222,1)}
        65:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(44,1),(87,1),(90,1),(91,1),(94,1),(143,1),(146,1),(149,1)}
        66:{3,5,7}:{(42,1),(43,1),(91,1),(92,1)}
        67:{3,4,6}:{(43,1),(46,1),(89,1),(92,1),(93,1)}
        68:{2,3,6,7}:{(44,1),(45,1),(91,1),(94,1),(97,1)}
        69:{2,4,7}:{(45,1),(46,1),(92,1)}
        70:{2,4,5}:{(46,1),(48,1),(93,1)}
        71:{2,3,5,7}:{(47,1),(48,1),(84,1),(95,1),(97,1),(140,1)}
        72:{2,3,5,6}:{(48,1),(49,1),(85,1),(96,1),(97,1),(98,1),(141,1)}
        73:{2,3,4,7}:{(49,1),(86,1),(98,1),(187,1)}
        74:{1,2,4,5}:{(50,1),(54,1),(99,1),(117,1),(155,1),(164,1)}
        75:{1,3,4,7}:{(51,1),(57,1),(101,1),(103,1),(108,1),(161,1)}
        76:{1,3,5}:{(51,1),(58,1),(100,1),(109,1)}
        77:{1,3,6}:{(52,1),(59,1),(103,1)}
        78:{1,2,4,7}:{(53,1),(54,1),(61,1),(106,1),(116,1)}
        79:{1,3,6}:{(54,1),(99,1),(106,1)}
        80:{3,4,6}:{(56,1),(108,1),(109,1),(170,1)}
        81:{1,2,3,6,7}:{(55,1),(68,1),(110,1),(113,1),(115,1),(162,1),(170,1),(212,1),(214,1)}
        82:{1,2,4,7}:{(55,1),(56,1),(69,1),(108,1),(116,1),(161,1),(207,1)}
        83:{1,2,4,5}:{(56,1),(58,1),(70,1),(100,1),(109,1),(117,1),(156,1),(164,1)}
        84:{1,2,5,7}:{(57,1),(58,1),(71,1),(101,1),(113,1)}
        85:{1,2,5,6}:{(58,1),(59,1),(72,1),(102,1),(113,1),(114,1)}
        86:{1,2,4,7}:{(59,1),(73,1),(103,1),(114,1),(161,1)}
        87:{1,2,6,7}:{(60,1),(61,1),(115,1),(212,1)}
        88:{1,3,5,7}:{(61,1),(62,1),(66,1),(106,1),(115,1),(116,1),(174,1)}
        89:{1,4,6}:{(62,1),(67,1),(116,1),(117,1)}
        90:{1,2,5,6,7}:{(63,1),(64,1),(65,1),(118,1),(122,1),(172,1),(174,1)}
        91:{3,6,7}:{(65,1),(66,1),(170,1)}
        92:{3,4,7}:{(66,1),(67,1),(69,1),(116,1)}
        93:{3,4,5}:{(67,1),(70,1),(109,1),(117,1)}
        94:{2,4,6,7}:{(68,1),(69,1),(119,1),(122,1),(123,1)}
        95:{2,4,5,7}:{(69,1),(70,1),(71,1),(120,1),(122,1),(123,1)}
        96:{2,4,5,6}:{(70,1),(72,1),(121,1),(123,1),(124,1)}
        97:{2,3,6}:{(71,1),(113,1),(123,1),(170,1)}
        98:{2,3,5,7}:{(72,1),(73,1),(114,1),(124,1),(125,1),(171,1)}
        99:{1,3,5}:{(74,1),(79,1),(127,1)}
       100:{1,4,5}:{(76,1),(128,1),(130,1)}
       101:{1,3,5,7}:{(75,1),(76,1),(84,1),(129,1),(131,1),(140,1)}
       102:{1,3,5,6}:{(76,1),(77,1),(85,1),(130,1),(131,1),(132,1),(141,1),(188,1)}
       103:{1,3,7}:{(77,1),(86,1)}
       104:{1,2,3,6}:{(79,1),(126,1),(133,1),(134,1),(220,1)}
       105:{2,3,4,6}:{(80,1),(134,1),(135,1),(136,1),(181,1),(184,1),(192,1),(220,1)}
       106:{1,3,7}:{(78,1),(79,1)}
       107:{1,3,4,6}:{(79,1),(80,1),(89,1),(127,1),(134,1),(137,1),(138,1),(194,1)}
       108:{3,4,7}:{(80,1),(82,1),(140,1)}
       109:{3,5}:{(80,1),(83,1)}
       110:{1,2,4,6,7}:{(81,1),(82,1),(94,1),(139,1),(142,1),(143,1),(146,1),(189,1),(223,1)}
       111:{1,2,4,5,7}:{(82,1),(83,1),(84,1),(95,1),(129,1),(140,1),(142,1),(143,1),(147,1),(183,1),(190,1),(196,1)}
       112:{1,2,4,5,6}:{(83,1),(85,1),(96,1),(130,1),(141,1),(143,1),(144,1),(148,1),(184,1),(188,1),(191,1),(222,1),(224,1)}
       113:{1,2,6}:{(84,1),(97,1),(131,1)}
       114:{1,2,5,7}:{(85,1),(86,1),(98,1),(132,1),(145,1)}
       115:{1,3,6,7}:{(87,1),(88,1),(91,1),(146,1),(194,1)}
       116:{1,4,7}:{(88,1),(89,1),(92,1)}
       117:{1,4,5}:{(89,1),(93,1),(138,1)}
       118:{3,5,6,7}:{(90,1),(91,1),(149,1),(150,1),(197,1)}
       119:{3,4,6,7}:{(91,1),(92,1),(94,1),(146,1),(149,1),(150,1),(151,1)}
       120:{3,4,5,7}:{(92,1),(93,1),(95,1),(140,1),(147,1),(150,1),(151,1),(196,1)}
       121:{3,4,5,6}:{(93,1),(96,1),(141,1),(148,1),(151,1),(152,1),(224,1)}
       122:{2,5,7}:{(94,1),(150,1),(153,1)}
       123:{2,4,6}:{(95,1),(97,1),(151,1),(153,1)}
       124:{2,4,5,7}:{(96,1),(98,1),(152,1),(154,1)}
       125:{2,3,6,7}:{(97,1),(98,1),(145,1),(154,1),(198,1)}
       126:{1,2,3,5}:{(99,1),(104,1),(155,1),(164,1),(204,1)}
       127:{1,3,4}:{(99,1),(155,1)}
       128:{3,4,5}:{(100,1),(109,1),(156,1),(159,1)}
       129:{1,4,5,7}:{(100,1),(101,1),(158,1),(160,1),(161,1),(211,1)}
       130:{1,4,6}:{(100,1),(102,1),(159,1),(161,1)}
       131:{1,3,6}:{(101,1),(113,1),(160,1),(170,1)}
       132:{1,3,5,7}:{(102,1),(103,1),(114,1),(161,1),(162,1),(171,1),(211,1)}
       133:{1,2,3,7}:{(104,1),(106,1),(163,1),(228,1)}
       134:{1,2,4,6}:{(104,1),(105,1),(107,1),(155,1),(163,1),(164,1),(212,1)}
       135:{2,3,4,7}:{(105,1),(108,1),(163,1),(165,1),(207,1),(228,1)}
       136:{2,3,5}:{(105,1),(109,1),(156,1),(164,1)}
       137:{1,3,4,7}:{(106,1),(107,1),(108,1),(116,1),(163,1),(167,1)}
       138:{1,3,5}:{(107,1),(109,1),(117,1),(164,1)}
       139:{3,4,6,7}:{(108,1),(110,1),(169,1),(170,1),(216,1)}
       140:{3,5,7}:{(108,1),(109,1),(111,1),(170,1)}
       141:{3,5,6}:{(109,1),(112,1),(159,1),(170,1),(171,1)}
       142:{1,2,5,7}:{(110,1),(122,1),(169,1),(172,1),(174,1),(211,1),(229,1)}
       143:{1,2,4,6}:{(111,1),(113,1),(123,1),(160,1),(170,1),(172,1),(175,1),(206,1),(212,1),(216,1)}
       144:{1,2,4,5,7}:{(112,1),(114,1),(124,1),(161,1),(171,1),(173,1),(176,1),(207,1),(211,1),(213,1),(229,1),(230,1)}
       145:{1,2,6,7}:{(113,1),(114,1),(125,1),(162,1)}
       146:{1,4,6,7}:{(115,1),(116,1),(119,1),(174,1),(175,1)}
       147:{1,4,5,7}:{(116,1),(117,1),(120,1),(167,1),(174,1),(175,1)}
       148:{1,4,5,6}:{(117,1),(121,1),(168,1),(175,1),(176,1)}
       149:{4,6,7}:{(118,1),(177,1),(216,1)}
       150:{3,5,7}:{(119,1),(122,1),(174,1),(177,1),(178,1)}
       151:{3,4,6}:{(120,1),(123,1),(170,1),(175,1),(178,1),(216,1)}
       152:{3,4,5,7}:{(121,1),(124,1),(171,1),(176,1),(179,1),(230,1)}
       153:{2,5,6}:{(122,1),(123,1),(178,1)}
       154:{2,4,6,7}:{(123,1),(124,1),(125,1),(179,1),(180,1)}
       155:{1,2,4}:{(126,1),(127,1),(181,1)}
       156:{2,4,5}:{(128,1),(136,1),(184,1)}
       157:{1,3,4,5}:{(127,1),(128,1),(138,1),(182,1),(185,1)}
       158:{3,4,5,7}:{(128,1),(129,1),(140,1),(183,1),(186,1),(187,1),(196,1),(225,1)}
       159:{3,4,6}:{(128,1),(130,1),(141,1),(184,1),(187,1)}
       160:{1,4,6}:{(129,1),(131,1),(186,1),(188,1)}
       161:{1,4,7}:{(130,1),(132,1),(187,1)}
       162:{1,3,6,7}:{(131,1),(132,1),(145,1),(189,1),(198,1)}
       163:{1,2,4,7}:{(133,1),(134,1),(135,1),(137,1),(190,1)}
       164:{1,2,5}:{(134,1),(136,1),(138,1)}
       165:{2,3,5,7}:{(135,1),(136,1),(140,1),(183,1),(190,1),(192,1)}
       166:{2,3,5,6}:{(136,1),(141,1),(184,1),(191,1),(192,1),(193,1),(220,1),(222,1)}
       167:{1,3,5,7}:{(137,1),(138,1),(140,1),(147,1),(190,1),(194,1)}
       168:{1,3,5,6}:{(138,1),(141,1),(148,1),(185,1),(191,1),(194,1),(195,1)}
       169:{3,5,7}:{(139,1),(142,1),(196,1),(197,1)}
       170:{3,6}:{(140,1),(143,1)}
       171:{3,5,7}:{(141,1),(144,1),(187,1),(198,1)}
       172:{1,2,5,6}:{(142,1),(143,1),(153,1),(188,1),(197,1),(200,1),(222,1)}
       173:{1,2,4,6,7}:{(143,1),(144,1),(145,1),(154,1),(189,1),(198,1),(199,1),(201,1),(223,1),(226,1),(227,1)}
       174:{1,5,7}:{(146,1),(150,1),(200,1)}
       175:{1,4,6}:{(147,1),(151,1),(194,1),(200,1)}
       176:{1,4,5,7}:{(148,1),(152,1),(195,1),(201,1)}
       177:{4,5,7}:{(149,1),(150,1),(202,1)}
       178:{3,5,6}:{(150,1),(151,1),(153,1),(200,1),(202,1)}
       179:{3,4,6,7}:{(151,1),(152,1),(154,1),(198,1),(201,1),(203,1),(227,1)}
       180:{2,5,6,7}:{(153,1),(154,1),(203,1)}
       181:{2,3,4}:{(155,1),(204,1)}
       182:{1,2,4,5}:{(155,1),(156,1),(157,1),(164,1),(204,1),(205,1)}
       183:{2,4,5,7}:{(156,1),(158,1),(165,1),(206,1),(207,1),(229,1)}
       184:{2,4,6}:{(156,1),(159,1),(166,1),(207,1)}
       185:{1,3,4,6}:{(157,1),(159,1),(168,1),(205,1),(208,1)}
       186:{3,4,6}:{(158,1),(160,1),(170,1),(206,1),(209,1),(216,1)}
       187:{3,4,7}:{(159,1),(161,1),(171,1),(207,1)}
       188:{1,5,6}:{(160,1),(209,1),(211,1)}
       189:{1,4,6,7}:{(160,1),(161,1),(162,1),(210,1),(211,1)}
       190:{1,2,5,7}:{(163,1),(164,1),(165,1),(167,1),(212,1)}
       191:{1,2,5,6}:{(164,1),(166,1),(168,1),(205,1),(212,1),(213,1)}
       192:{2,3,6}:{(165,1),(170,1),(206,1),(212,1)}
       193:{2,3,5,7}:{(166,1),(171,1),(207,1),(213,1),(214,1),(228,1),(229,1)}
       194:{1,3,6}:{(167,1),(170,1),(175,1),(212,1)}
       195:{1,3,5,7}:{(168,1),(171,1),(176,1),(208,1),(213,1),(215,1)}
       196:{4,5,7}:{(169,1),(216,1)}
       197:{3,5,6}:{(169,1),(170,1),(172,1),(216,1)}
       198:{3,6,7}:{(170,1),(171,1),(173,1)}
       199:{1,2,5,6,7}:{(172,1),(173,1),(180,1),(211,1),(217,1),(218,1),(229,1)}
       200:{1,5,6}:{(174,1),(175,1),(178,1)}
       201:{1,4,6,7}:{(175,1),(176,1),(179,1),(215,1),(218,1)}
       202:{4,5,6}:{(177,1),(178,1),(216,1)}
       203:{3,5,6,7}:{(178,1),(179,1),(180,1),(218,1),(219,1)}
       204:{2,3,5}:{(181,1),(182,1),(220,1)}
       205:{1,2,4,6}:{(182,1),(184,1),(185,1),(191,1),(220,1),(221,1)}
       206:{2,4,6}:{(183,1),(186,1),(192,1),(222,1)}
       207:{2,4,7}:{(184,1),(187,1),(193,1)}
       208:{1,3,4,7}:{(185,1),(187,1),(195,1),(221,1)}
       209:{3,5,6}:{(186,1),(188,1),(222,1),(224,1),(225,1)}
       210:{3,4,6,7}:{(186,1),(187,1),(189,1),(198,1),(223,1),(225,1),(227,1)}
       211:{1,5,7}:{(188,1),(189,1),(225,1)}
       212:{1,2,6}:{(190,1),(192,1),(194,1)}
       213:{1,2,5,7}:{(191,1),(193,1),(195,1),(221,1),(226,1)}
       214:{2,3,6,7}:{(192,1),(193,1),(198,1),(223,1),(226,1)}
       215:{1,3,6,7}:{(194,1),(195,1),(198,1),(201,1),(226,1)}
       216:{4,6}:{(196,1),(197,1)}
       217:{3,5,6,7}:{(197,1),(198,1),(199,1),(225,1),(227,1)}
       218:{1,5,6,7}:{(200,1),(201,1),(203,1)}
       219:{4,5,6,7}:{(202,1),(203,1),(227,1)}
       220:{2,3,6}:{(204,1),(205,1),(228,1)}
       221:{1,2,4,7}:{(205,1),(207,1),(208,1),(213,1),(228,1)}
       222:{2,5,6}:{(206,1),(209,1),(229,1)}
       223:{2,4,6,7}:{(206,1),(207,1),(210,1),(214,1),(229,1)}
       224:{4,5,6}:{(209,1),(216,1),(230,1)}
       225:{3,5,7}:{(209,1),(210,1),(211,1),(229,1),(230,1)}
       226:{1,2,6,7}:{(212,1),(213,1),(214,1),(215,1)}
       227:{4,6,7}:{(216,1),(217,1),(230,1)}
       228:{2,3,7}:{(220,1),(221,1)}
       229:{2,5,7}:{(222,1),(223,1),(225,1)}
       230:{4,5,7}:{(224,1),(225,1),(227,1)}

1138 :   0:{2,4,5,6}:{(3,1),(4,1),(26,1),(32,1),(83,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(26,1),(37,1),(72,1),(86,1),(120,1),(137,1)}
         2:{2,5,6,7}:{(9,1),(11,1),(91,1),(95,1)}
         3:{2,4,5,7}:{(0,1),(11,1),(12,1),(43,1),(46,1),(95,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(13,1)}
         5:{3,4,5}:{(10,1),(16,1),(17,1),(60,1)}
         6:{2,3,5}:{(1,1),(17,1),(19,1),(60,1),(144,1),(159,1)}
         7:{2,3,4,7}:{(1,1),(18,1),(20,1),(46,1),(97,1),(113,1),(143,1),(184,1)}
         8:{1,2,4,6}:{(1,1),(19,1),(20,1),(21,1),(61,1),(63,1),(114,1)}
         9:{3,5,6,7}:{(2,1),(22,1),(23,1),(27,1),(65,1),(68,1)}
        10:{3,4,6}:{(4,1),(5,1),(24,1),(25,1),(26,1),(72,1)}
        11:{2,4,6,7}:{(2,1),(3,1),(23,1),(27,1)}
        12:{3,5,7}:{(3,1),(4,1),(24,1),(27,1),(28,1)}
        13:{1,5,6}:{(4,1),(25,1),(28,1)}
        14:{2,3,5,6}:{(4,1),(6,1),(26,1),(29,1),(30,1),(37,1),(72,1),(83,1),(136,1)}
        15:{3,4,5,7}:{(5,1),(24,1),(33,1),(34,1),(35,1),(68,1),(85,1),(115,1),(127,1),(165,1),(176,1)}
        16:{1,4,5}:{(5,1),(25,1),(31,1)}
        17:{2,4,5}:{(5,1),(6,1),(26,1),(176,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(35,1),(37,1),(38,1),(85,1),(160,1),(164,1),(169,1)}
        19:{1,2,5}:{(6,1),(8,1),(39,1),(138,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(38,1),(40,1),(88,1),(196,1)}
        21:{1,3,6}:{(8,1),(39,1),(40,1),(72,1)}
        22:{1,5,6,7}:{(9,1),(41,1),(48,1),(94,1)}
        23:{4,6,7}:{(9,1),(43,1)}
        24:{3,4,7}:{(10,1),(12,1),(45,1),(46,1),(97,1)}
        25:{1,4,6}:{(10,1),(13,1),(16,1),(42,1),(45,1)}
        26:{2,4,6}:{(10,1),(14,1),(17,1),(46,1),(158,1)}
        27:{3,6,7}:{(11,1),(12,1),(48,1)}
        28:{1,5,7}:{(12,1),(13,1),(45,1),(48,1)}
        29:{2,3,5,7}:{(12,1),(14,1),(46,1),(49,1),(50,1),(95,1),(97,1),(145,1)}
        30:{1,2,5,6}:{(13,1),(14,1),(19,1),(47,1),(50,1),(51,1),(61,1),(144,1),(181,1)}
        31:{1,3,5}:{(16,1),(42,1),(52,1),(55,1),(60,1)}
        32:{4,5,6}:{(43,1),(56,1),(158,1)}
        33:{3,4,6}:{(15,1),(56,1),(57,1),(58,1),(112,1),(158,1)}
        34:{1,4,5,7}:{(15,1),(16,1),(45,1),(54,1),(57,1),(94,1),(139,1),(150,1)}
        35:{2,4,5,7}:{(15,1),(17,1),(18,1),(46,1),(58,1),(95,1),(140,1),(151,1)}
        36:{1,2,4,5}:{(16,1),(17,1),(19,1),(47,1),(55,1),(60,1),(63,1),(101,1),(110,1),(144,1)}
        37:{2,3,6}:{(18,1),(58,1),(61,1),(112,1),(181,1)}
        38:{1,2,5,7}:{(18,1),(19,1),(20,1),(61,1),(62,1),(177,1),(185,1)}
        39:{1,3,5}:{(19,1),(21,1),(60,1),(63,1)}
        40:{1,3,7}:{(20,1),(21,1),(97,1),(204,1)}
        41:{1,4,6,7}:{(22,1),(23,1),(64,1),(65,1)}
        42:{1,3,6}:{(25,1),(31,1),(66,1),(67,1),(72,1)}
        43:{4,5,7}:{(23,1),(32,1),(68,1),(165,1)}
        44:{3,4,6,7}:{(23,1),(24,1),(27,1),(33,1),(65,1),(68,1),(69,1),(70,1),(115,1),(122,1),(165,1)}
        45:{1,4,7}:{(24,1),(25,1),(28,1),(66,1)}
        46:{2,4,7}:{(24,1),(26,1),(29,1),(165,1)}
        47:{1,2,4,6}:{(25,1),(26,1),(30,1),(36,1),(67,1),(71,1),(72,1),(75,1),(120,1)}
        48:{1,6,7}:{(27,1),(28,1)}
        49:{2,3,6,7}:{(27,1),(29,1),(37,1),(70,1),(73,1),(122,1),(160,1)}
        50:{1,2,5,7}:{(28,1),(29,1),(30,1),(71,1),(73,1),(74,1),(164,1)}
        51:{1,3,5,6}:{(30,1),(39,1),(72,1),(74,1),(75,1),(87,1),(124,1),(136,1),(138,1),(167,1),(168,1)}
        52:{1,3,4}:{(31,1),(77,1),(86,1)}
        53:{1,4,5,6}:{(32,1),(64,1),(78,1),(82,1),(131,1)}
        54:{1,3,5,7}:{(31,1),(34,1),(66,1),(76,1),(79,1),(80,1),(85,1),(128,1),(207,1)}
        55:{1,2,5}:{(31,1),(67,1),(77,1),(81,1)}
        56:{3,5,6}:{(32,1),(33,1),(68,1),(82,1),(83,1)}
        57:{1,4,6}:{(33,1),(34,1),(79,1),(82,1)}
        58:{2,4,6}:{(33,1),(35,1),(37,1),(83,1)}
        59:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(38,1),(71,1),(80,1),(84,1),(85,1),(88,1),(121,1),(126,1),(135,1),(138,1),(161,1),(164,1),(165,1),(170,1),(175,1),(176,1),(193,1),(207,1)}
        60:{3,5}:{(36,1),(72,1),(86,1)}
        61:{1,2,6}:{(37,1),(38,1),(87,1)}
        62:{1,3,5,7}:{(38,1),(39,1),(40,1),(85,1),(87,1),(88,1),(138,1),(191,1),(197,1),(207,1)}
        63:{1,4}:{(39,1),(86,1)}
        64:{1,4,5,7}:{(41,1),(43,1),(53,1),(89,1),(94,1),(139,1)}
        65:{3,6,7}:{(41,1),(89,1),(91,1)}
        66:{1,3,7}:{(42,1),(45,1),(92,1),(97,1)}
        67:{1,2,6}:{(42,1),(55,1),(92,1),(93,1)}
        68:{3,5,7}:{(43,1),(44,1),(56,1),(94,1),(95,1)}
        69:{1,4,6,7}:{(44,1),(45,1),(48,1),(57,1),(90,1),(94,1),(139,1)}
        70:{2,4,6,7}:{(44,1),(46,1),(49,1),(58,1),(91,1),(95,1),(140,1)}
        71:{1,2,4,7}:{(45,1),(46,1),(47,1),(50,1),(92,1),(97,1),(100,1),(143,1)}
        72:{3,6}:{(47,1),(60,1),(97,1)}
        73:{1,2,6,7}:{(48,1),(49,1),(50,1),(61,1),(99,1),(177,1),(181,1)}
        74:{1,3,5,7}:{(50,1),(51,1),(97,1),(99,1),(100,1),(145,1),(147,1),(148,1)}
        75:{1,4,6}:{(51,1),(63,1),(98,1),(100,1),(101,1),(158,1)}
        76:{1,3,4,7}:{(52,1),(54,1),(102,1),(103,1),(113,1),(139,1),(178,1),(201,1)}
        77:{1,2,4}:{(52,1),(55,1),(104,1),(110,1)}
        78:{3,5,6}:{(53,1),(89,1),(105,1),(107,1)}
        79:{1,3,6}:{(54,1),(57,1),(108,1),(112,1),(209,1)}
        80:{1,2,5,7}:{(54,1),(55,1),(92,1),(103,1),(108,1),(109,1),(152,1)}
        81:{2,3,5}:{(55,1),(60,1),(93,1),(104,1),(110,1),(144,1)}
        82:{1,5,6}:{(56,1),(57,1),(94,1)}
        83:{2,5,6}:{(56,1),(58,1),(95,1)}
        84:{1,2,4,6}:{(57,1),(58,1),(59,1),(61,1),(108,1),(111,1),(112,1),(114,1),(149,1),(157,1),(158,1),(181,1),(203,1),(209,1)}
        85:{3,5,7}:{(59,1),(60,1),(97,1),(112,1),(113,1),(159,1),(178,1),(186,1)}
        86:{3,4}:{(60,1),(63,1),(110,1)}
        87:{1,3,6}:{(61,1),(62,1),(112,1),(114,1),(209,1)}
        88:{1,4,7}:{(62,1),(63,1),(113,1),(114,1),(205,1)}
        89:{3,5,7}:{(64,1),(65,1),(78,1),(115,1),(117,1)}
        90:{1,3,6,7}:{(65,1),(66,1),(69,1),(79,1),(116,1),(118,1),(122,1)}
        91:{2,6,7}:{(65,1),(117,1)}
        92:{1,2,7}:{(66,1),(67,1),(119,1)}
        93:{2,3,6}:{(67,1),(72,1),(81,1),(119,1),(120,1)}
        94:{1,5,7}:{(68,1),(69,1),(82,1)}
        95:{2,5,7}:{(68,1),(70,1),(83,1)}
        96:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(73,1),(84,1),(118,1),(121,1),(122,1),(125,1),(161,1),(163,1),(165,1)}
        97:{3,7}:{(71,1),(72,1)}
        98:{3,4,6}:{(72,1),(75,1),(86,1),(120,1),(123,1),(124,1),(167,1)}
        99:{1,3,6,7}:{(73,1),(74,1),(87,1),(122,1),(125,1),(167,1),(191,1)}
       100:{1,4,7}:{(74,1),(75,1),(123,1),(165,1)}
       101:{1,4,5}:{(75,1),(124,1),(138,1),(176,1)}
       102:{1,3,4,6}:{(76,1),(79,1),(128,1),(129,1),(131,1),(137,1),(173,1),(198,1),(199,1)}
       103:{1,2,4,7}:{(76,1),(77,1),(80,1),(129,1),(130,1),(135,1)}
       104:{2,3}:{(77,1)}
       105:{3,4,6}:{(78,1),(115,1),(127,1),(131,1),(132,1),(173,1)}
       106:{1,3,5,6}:{(78,1),(79,1),(82,1),(116,1),(128,1),(131,1),(133,1),(136,1),(173,1)}
       107:{2,5,6}:{(78,1),(117,1),(132,1)}
       108:{1,2,6}:{(79,1),(80,1),(134,1)}
       109:{2,3,5,7}:{(80,1),(81,1),(85,1),(119,1),(130,1),(134,1),(135,1),(164,1),(171,1),(175,1)}
       110:{2,4}:{(81,1),(86,1)}
       111:{1,2,5,6}:{(82,1),(83,1),(84,1),(121,1),(136,1),(138,1),(168,1),(175,1),(194,1)}
       112:{3,6}:{(84,1),(85,1)}
       113:{3,4,7}:{(85,1),(86,1),(88,1),(135,1),(137,1),(165,1),(198,1)}
       114:{1,4,6}:{(87,1),(88,1),(137,1),(138,1)}
       115:{3,4,7}:{(89,1),(105,1),(139,1),(140,1),(178,1)}
       116:{1,3,5,7}:{(89,1),(90,1),(94,1),(106,1),(139,1),(141,1),(145,1),(178,1)}
       117:{2,5,7}:{(89,1),(91,1),(107,1),(140,1)}
       118:{1,2,6,7}:{(90,1),(91,1),(92,1),(108,1),(141,1),(142,1),(209,1)}
       119:{2,3,7}:{(92,1),(93,1),(97,1),(143,1)}
       120:{2,4,6}:{(93,1),(98,1),(110,1),(143,1),(144,1),(181,1)}
       121:{1,2,5,7}:{(94,1),(95,1),(96,1),(111,1),(145,1),(148,1),(180,1)}
       122:{3,6,7}:{(96,1),(97,1),(112,1),(145,1),(178,1)}
       123:{3,4,7}:{(97,1),(98,1),(100,1),(143,1),(147,1)}
       124:{3,5}:{(98,1),(101,1),(144,1)}
       125:{1,4,6,7}:{(99,1),(100,1),(114,1),(146,1),(148,1),(149,1),(201,1),(209,1)}
       126:{1,4,5,7}:{(100,1),(101,1),(147,1),(148,1),(149,1),(182,1)}
       127:{3,4,5}:{(105,1),(150,1),(151,1),(186,1)}
       128:{1,3,5}:{(102,1),(150,1),(152,1),(159,1),(186,1),(206,1)}
       129:{1,2,4,6}:{(102,1),(103,1),(108,1),(152,1),(153,1),(157,1),(187,1)}
       130:{2,3,7}:{(103,1),(104,1),(153,1),(178,1)}
       131:{1,4,6}:{(105,1),(106,1),(139,1),(150,1),(158,1)}
       132:{2,4,6}:{(105,1),(107,1),(140,1),(151,1),(154,1)}
       133:{1,2,5,6}:{(106,1),(107,1),(108,1),(141,1),(152,1),(155,1),(156,1),(206,1),(209,1)}
       134:{2,3,6}:{(108,1),(109,1),(112,1),(157,1),(181,1)}
       135:{2,4,7}:{(109,1),(110,1),(113,1),(157,1),(187,1)}
       136:{3,5,6}:{(111,1),(112,1),(145,1),(158,1),(159,1)}
       137:{3,4,6}:{(112,1),(113,1),(114,1),(157,1),(158,1),(159,1)}
       138:{1,5}:{(114,1),(159,1)}
       139:{1,4,7}:{(115,1),(116,1),(131,1),(165,1)}
       140:{2,4,7}:{(115,1),(117,1),(132,1),(160,1)}
       141:{1,2,5,7}:{(116,1),(117,1),(118,1),(133,1),(161,1),(162,1),(207,1)}
       142:{2,3,6,7}:{(118,1),(119,1),(122,1),(134,1),(162,1),(163,1),(208,1)}
       143:{2,4,7}:{(119,1),(120,1),(123,1),(164,1)}
       144:{2,5}:{(120,1),(124,1)}
       145:{3,5,7}:{(121,1),(122,1),(136,1),(165,1)}
       146:{3,4,6,7}:{(122,1),(123,1),(125,1),(137,1),(163,1),(165,1),(166,1),(167,1),(192,1),(195,1),(208,1)}
       147:{3,5,7}:{(123,1),(124,1),(126,1),(164,1),(167,1)}
       148:{1,5,7}:{(125,1),(138,1),(166,1),(168,1)}
       149:{1,4,6}:{(126,1),(167,1),(168,1),(195,1)}
       150:{1,4,5}:{(127,1),(128,1),(131,1),(176,1)}
       151:{2,4,5}:{(127,1),(132,1),(169,1)}
       152:{1,2,5}:{(128,1),(129,1),(171,1),(175,1)}
       153:{2,3,6}:{(129,1),(130,1),(171,1),(173,1)}
       154:{2,3,6}:{(132,1),(160,1),(169,1),(172,1),(173,1)}
       155:{1,2,4,6}:{(131,1),(132,1),(133,1),(161,1),(170,1),(172,1),(173,1),(174,1),(199,1)}
       156:{2,3,5,6}:{(133,1),(134,1),(136,1),(162,1),(171,1),(173,1),(174,1),(175,1),(194,1),(200,1),(208,1)}
       157:{2,4,6}:{(134,1),(135,1),(137,1),(175,1)}
       158:{4,6}:{(136,1),(165,1),(176,1)}
       159:{3,5}:{(137,1),(138,1),(175,1),(176,1)}
       160:{2,3,7}:{(140,1),(154,1),(177,1),(178,1)}
       161:{1,2,4,7}:{(139,1),(140,1),(141,1),(155,1),(177,1),(178,1),(179,1),(201,1)}
       162:{2,3,5,7}:{(141,1),(142,1),(145,1),(156,1),(178,1),(179,1),(180,1),(202,1)}
       163:{2,4,6,7}:{(142,1),(143,1),(146,1),(157,1),(179,1),(180,1),(181,1),(203,1)}
       164:{2,5,7}:{(143,1),(144,1),(147,1),(181,1)}
       165:{4,7}:{(145,1),(158,1)}
       166:{3,5,7}:{(146,1),(148,1),(159,1),(180,1),(182,1),(183,1)}
       167:{3,6}:{(147,1),(149,1),(181,1)}
       168:{1,5,6}:{(148,1),(149,1),(183,1),(209,1)}
       169:{2,3,5}:{(151,1),(154,1),(184,1),(185,1),(186,1)}
       170:{1,2,4,5}:{(150,1),(151,1),(152,1),(155,1),(185,1),(186,1),(187,1),(190,1),(205,1),(206,1)}
       171:{2,3,5}:{(152,1),(153,1),(186,1),(187,1)}
       172:{1,2,6}:{(154,1),(177,1),(185,1),(188,1)}
       173:{3,6}:{(155,1),(178,1),(186,1)}
       174:{2,4,6}:{(156,1),(158,1),(179,1),(187,1),(189,1),(190,1)}
       175:{2,5}:{(157,1),(159,1)}
       176:{4,5}:{(158,1),(159,1)}
       177:{1,2,7}:{(160,1),(172,1),(191,1)}
       178:{3,7}:{(161,1),(173,1)}
       179:{2,4,7}:{(162,1),(165,1),(174,1),(192,1)}
       180:{2,5,7}:{(163,1),(166,1),(175,1),(194,1)}
       181:{2,6}:{(164,1),(167,1)}
       182:{4,5,7}:{(165,1),(166,1),(176,1),(195,1)}
       183:{3,5,6}:{(166,1),(167,1),(168,1),(194,1),(195,1),(208,1)}
       184:{2,3,4}:{(169,1),(196,1),(198,1)}
       185:{1,2,5}:{(169,1),(172,1),(196,1),(197,1)}
       186:{3,5}:{(170,1),(173,1),(198,1)}
       187:{2,4}:{(171,1),(198,1)}
       188:{1,3,6}:{(172,1),(173,1),(191,1),(197,1),(199,1)}
       189:{3,4,6}:{(173,1),(174,1),(192,1),(198,1),(199,1),(200,1),(208,1)}
       190:{2,4,5}:{(174,1),(175,1),(176,1),(200,1)}
       191:{1,3,7}:{(177,1),(178,1),(188,1),(201,1)}
       192:{3,4,7}:{(178,1),(179,1),(189,1),(201,1),(202,1)}
       193:{2,4,5,7}:{(179,1),(180,1),(182,1),(190,1),(202,1),(203,1)}
       194:{2,5,6}:{(180,1),(181,1),(183,1),(203,1)}
       195:{4,6}:{(182,1),(183,1)}
       196:{1,2,4}:{(184,1),(185,1),(204,1),(205,1)}
       197:{1,3,5}:{(185,1),(186,1),(188,1),(204,1),(205,1),(206,1)}
       198:{3,4}:{(186,1),(187,1),(205,1)}
       199:{1,4,6}:{(188,1),(189,1),(201,1),(205,1),(206,1),(209,1)}
       200:{3,5}:{(189,1),(190,1),(206,1)}
       201:{1,4,7}:{(191,1),(192,1),(199,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(200,1),(207,1),(208,1)}
       203:{2,4,6}:{(193,1),(194,1),(195,1),(208,1)}
       204:{1,3}:{(196,1)}
       205:{1,4}:{(197,1),(198,1)}
       206:{1,5}:{(199,1),(200,1)}
       207:{1,5,7}:{(201,1),(202,1),(206,1),(209,1)}
       208:{3,6}:{(202,1),(203,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

1139 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(22,1),(163,1),(175,1),(209,1)}
         1:{1,3,4,5}:{(5,1),(6,1),(61,1),(69,1),(117,1)}
         2:{1,4,5,6}:{(0,1),(7,1),(10,1),(147,1),(200,1)}
         3:{2,4,5,6}:{(0,1),(8,1),(11,1),(183,1),(217,1)}
         4:{3,4,5,7}:{(0,1),(10,1),(11,1),(12,1),(41,1),(146,1)}
         5:{1,3,4,6}:{(1,1),(7,1),(13,1),(14,1),(40,1)}
         6:{1,2,4,5}:{(1,1),(13,1),(15,1),(49,1),(79,1),(90,1)}
         7:{1,3,5,6}:{(2,1),(5,1),(18,1),(19,1),(22,1),(117,1),(179,1)}
         8:{2,3,5,6}:{(3,1),(17,1),(20,1),(21,1),(22,1),(157,1),(206,1)}
         9:{1,2,4,5,6}:{(2,1),(3,1),(18,1),(20,1),(22,1),(23,1),(55,1),(58,1),(104,1),(168,1),(171,1),(173,1),(175,1)}
        10:{1,4,5,7}:{(2,1),(4,1),(19,1),(24,1)}
        11:{2,4,5,7}:{(3,1),(4,1),(21,1),(25,1)}
        12:{3,4,6,7}:{(4,1),(24,1),(25,1),(26,1),(63,1),(116,1),(209,1)}
        13:{1,2,4,6}:{(5,1),(6,1),(18,1),(27,1),(28,1),(55,1)}
        14:{1,3,4,7}:{(5,1),(19,1),(28,1),(62,1)}
        15:{2,3,5}:{(6,1),(27,1),(30,1)}
        16:{2,3,4,5}:{(17,1),(31,1),(61,1),(125,1),(157,1)}
        17:{2,3,4,6}:{(8,1),(16,1),(32,1),(33,1),(40,1)}
        18:{1,2,5,6}:{(7,1),(13,1),(34,1),(35,1),(90,1),(151,1)}
        19:{1,3,5,7}:{(7,1),(10,1),(14,1),(35,1),(36,1),(41,1)}
        20:{1,2,5,6}:{(8,1),(32,1),(37,1),(38,1),(129,1),(187,1)}
        21:{2,3,5,7}:{(8,1),(11,1),(33,1),(38,1),(39,1),(41,1)}
        22:{3,5,6}:{(9,1),(40,1),(41,1),(133,1),(192,1)}
        23:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(35,1),(38,1),(41,1),(42,1),(80,1),(83,1),(140,1),(143,1),(146,1)}
        24:{1,4,6,7}:{(10,1),(12,1),(36,1),(43,1),(200,1)}
        25:{2,4,6,7}:{(11,1),(12,1),(39,1),(44,1),(217,1)}
        26:{3,5,6,7}:{(12,1),(43,1),(44,1),(45,1),(220,1)}
        27:{2,3,6}:{(13,1),(15,1),(48,1)}
        28:{1,2,4,7}:{(13,1),(14,1),(35,1),(48,1),(80,1)}
        29:{1,2,3,5}:{(15,1),(46,1),(49,1),(90,1),(94,1)}
        30:{2,3,4}:{(15,1),(49,1)}
        31:{1,2,4,5}:{(16,1),(32,1),(51,1),(82,1),(97,1),(129,1)}
        32:{1,2,4,6}:{(17,1),(20,1),(31,1),(52,1),(53,1),(58,1)}
        33:{2,3,4,7}:{(17,1),(21,1),(53,1),(62,1)}
        34:{2,3,5,6}:{(18,1),(22,1),(27,1),(55,1),(56,1),(67,1),(122,1),(171,1)}
        35:{1,2,5,7}:{(18,1),(19,1),(28,1),(56,1),(57,1)}
        36:{1,3,6,7}:{(19,1),(24,1),(57,1),(63,1),(179,1)}
        37:{1,3,5,6}:{(20,1),(22,1),(52,1),(58,1),(59,1),(101,1),(162,1),(173,1)}
        38:{1,2,5,7}:{(20,1),(21,1),(53,1),(59,1),(60,1)}
        39:{2,3,6,7}:{(21,1),(25,1),(60,1),(63,1),(206,1)}
        40:{3,4,6}:{(22,1),(55,1),(58,1),(61,1),(62,1)}
        41:{3,5,7}:{(22,1),(23,1),(62,1),(63,1)}
        42:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(57,1),(60,1),(63,1),(64,1),(109,1),(112,1),(116,1),(168,1)}
        43:{1,5,6,7}:{(24,1),(26,1),(215,1)}
        44:{2,5,6,7}:{(25,1),(26,1),(225,1)}
        45:{4,5,6,7}:{(26,1),(116,1),(227,1)}
        46:{1,2,3,6}:{(27,1),(29,1),(65,1),(66,1),(123,1)}
        47:{2,3,4,6}:{(27,1),(30,1),(55,1),(65,1),(67,1),(68,1),(103,1),(122,1)}
        48:{2,3,7}:{(27,1),(28,1)}
        49:{1,2,4}:{(29,1),(30,1),(69,1)}
        50:{2,3,4,5}:{(30,1),(67,1),(70,1),(71,1),(163,1)}
        51:{1,3,5}:{(31,1),(52,1),(73,1)}
        52:{1,3,6}:{(32,1),(51,1),(76,1)}
        53:{1,2,4,7}:{(32,1),(33,1),(38,1),(76,1),(83,1)}
        54:{1,2,3,5,6}:{(34,1),(37,1),(46,1),(74,1),(77,1),(78,1),(90,1),(129,1),(133,1),(148,1),(151,1),(184,1),(187,1),(192,1),(195,1)}
        55:{2,4,6}:{(34,1),(40,1),(79,1),(80,1)}
        56:{2,3,5,7}:{(34,1),(35,1),(41,1),(48,1),(80,1),(81,1),(140,1)}
        57:{1,2,6,7}:{(35,1),(36,1),(81,1),(151,1)}
        58:{1,4,6}:{(37,1),(40,1),(82,1),(83,1)}
        59:{1,3,5,7}:{(37,1),(38,1),(41,1),(76,1),(83,1),(84,1),(143,1)}
        60:{1,2,6,7}:{(38,1),(39,1),(84,1),(187,1)}
        61:{3,4,5}:{(40,1),(79,1),(82,1),(133,1)}
        62:{3,4,7}:{(40,1),(41,1),(80,1),(83,1)}
        63:{3,6,7}:{(41,1),(42,1),(192,1)}
        64:{1,2,5,6,7}:{(42,1),(43,1),(44,1),(88,1),(140,1),(143,1),(195,1)}
        65:{1,2,4,6}:{(46,1),(47,1),(49,1),(89,1),(90,1),(91,1),(151,1)}
        66:{1,2,3,7}:{(46,1),(48,1),(91,1),(153,1)}
        67:{2,3,5}:{(47,1),(79,1),(90,1),(133,1)}
        68:{2,3,4,7}:{(47,1),(48,1),(80,1),(91,1),(93,1),(134,1)}
        69:{1,3,4}:{(49,1),(94,1)}
        70:{1,2,4,5}:{(49,1),(50,1),(90,1),(94,1),(95,1),(147,1)}
        71:{2,3,4,6}:{(50,1),(92,1),(95,1),(96,1),(189,1)}
        72:{1,2,3,5}:{(51,1),(74,1),(97,1),(129,1),(154,1)}
        73:{1,3,4}:{(51,1),(97,1)}
        74:{1,2,3,6}:{(52,1),(72,1),(99,1),(100,1),(181,1)}
        75:{1,3,4,6}:{(52,1),(58,1),(73,1),(99,1),(101,1),(102,1),(103,1),(162,1)}
        76:{1,3,7}:{(52,1),(53,1)}
        77:{1,2,4,6}:{(54,1),(55,1),(58,1),(103,1),(104,1),(105,1),(176,1),(203,1)}
        78:{1,2,3,5,7}:{(54,1),(56,1),(59,1),(66,1),(100,1),(105,1),(106,1),(120,1),(160,1),(165,1),(169,1),(178,1),(205,1)}
        79:{2,4,5}:{(55,1),(61,1),(67,1)}
        80:{2,4,7}:{(55,1),(56,1),(62,1)}
        81:{2,3,6,7}:{(56,1),(57,1),(63,1),(109,1),(122,1)}
        82:{1,4,5}:{(58,1),(61,1),(101,1)}
        83:{1,4,7}:{(58,1),(59,1),(62,1)}
        84:{1,3,6,7}:{(59,1),(60,1),(63,1),(112,1),(162,1)}
        85:{3,4,5,6}:{(61,1),(107,1),(110,1),(113,1),(114,1),(164,1),(227,1)}
        86:{3,4,5,7}:{(61,1),(62,1),(108,1),(111,1),(114,1),(115,1),(165,1),(212,1)}
        87:{3,4,6,7}:{(62,1),(63,1),(109,1),(112,1),(114,1),(115,1),(116,1)}
        88:{3,5,6,7}:{(63,1),(64,1),(115,1),(116,1),(211,1)}
        89:{1,3,4,6}:{(65,1),(69,1),(103,1),(117,1),(118,1),(123,1),(176,1),(179,1)}
        90:{1,2,5}:{(65,1),(67,1),(117,1)}
        91:{1,2,4,7}:{(65,1),(66,1),(68,1),(118,1),(120,1)}
        92:{2,3,5,6}:{(67,1),(71,1),(107,1),(119,1),(121,1),(122,1),(164,1)}
        93:{2,3,5,7}:{(67,1),(68,1),(108,1),(120,1),(122,1),(165,1)}
        94:{1,3,5}:{(69,1),(70,1),(123,1)}
        95:{1,2,4,6}:{(70,1),(71,1),(119,1),(123,1),(124,1),(176,1)}
        96:{2,3,4,7}:{(71,1),(121,1),(124,1),(208,1)}
        97:{1,2,4}:{(72,1),(73,1),(125,1)}
        98:{1,3,4,5}:{(73,1),(101,1),(126,1),(127,1),(163,1)}
        99:{1,2,4,6}:{(74,1),(75,1),(97,1),(128,1),(129,1),(130,1),(187,1)}
       100:{1,2,3,7}:{(74,1),(76,1),(130,1),(202,1)}
       101:{1,3,5}:{(75,1),(82,1),(129,1),(133,1)}
       102:{1,3,4,7}:{(75,1),(76,1),(83,1),(130,1),(132,1),(134,1)}
       103:{3,4,6}:{(77,1),(133,1),(134,1),(192,1)}
       104:{1,2,4,5}:{(77,1),(79,1),(82,1),(90,1),(129,1),(133,1),(147,1),(183,1)}
       105:{1,2,4,7}:{(77,1),(78,1),(80,1),(83,1),(134,1),(199,1),(216,1)}
       106:{1,2,3,6,7}:{(78,1),(81,1),(84,1),(137,1),(151,1),(187,1),(192,1),(201,1),(218,1)}
       107:{2,4,5,6}:{(79,1),(85,1),(92,1),(138,1),(139,1)}
       108:{2,4,5,7}:{(79,1),(80,1),(86,1),(93,1),(139,1),(140,1)}
       109:{2,4,6,7}:{(80,1),(81,1),(87,1),(139,1),(140,1)}
       110:{1,4,5,6}:{(82,1),(85,1),(131,1),(141,1),(142,1)}
       111:{1,4,5,7}:{(82,1),(83,1),(86,1),(132,1),(142,1),(143,1)}
       112:{1,4,6,7}:{(83,1),(84,1),(87,1),(142,1),(143,1)}
       113:{3,4,5,7}:{(85,1),(138,1),(141,1),(144,1),(191,1),(230,1)}
       114:{3,4,6}:{(86,1),(139,1),(142,1),(145,1),(192,1),(222,1)}
       115:{3,5,7}:{(87,1),(140,1),(143,1),(145,1),(146,1)}
       116:{4,6,7}:{(88,1),(146,1),(222,1)}
       117:{1,3,5}:{(89,1),(90,1),(133,1),(147,1)}
       118:{1,3,4,7}:{(89,1),(91,1),(134,1),(149,1),(153,1),(199,1)}
       119:{1,2,5,6}:{(90,1),(92,1),(95,1),(148,1),(150,1),(151,1)}
       120:{1,2,5,7}:{(90,1),(91,1),(93,1),(149,1),(151,1)}
       121:{2,3,5,7}:{(92,1),(96,1),(138,1),(150,1),(152,1),(191,1)}
       122:{2,3,6}:{(93,1),(139,1),(151,1),(192,1)}
       123:{1,3,6}:{(94,1),(95,1),(153,1)}
       124:{1,2,4,7}:{(95,1),(96,1),(150,1),(153,1),(199,1)}
       125:{2,3,4}:{(97,1),(154,1)}
       126:{1,2,4,5}:{(97,1),(98,1),(129,1),(154,1),(155,1),(183,1)}
       127:{1,3,4,6}:{(98,1),(131,1),(155,1),(156,1),(189,1)}
       128:{2,3,4,6}:{(99,1),(103,1),(125,1),(157,1),(158,1),(181,1),(203,1),(206,1)}
       129:{1,2,5}:{(99,1),(101,1),(157,1)}
       130:{1,2,4,7}:{(99,1),(100,1),(102,1),(158,1),(160,1)}
       131:{1,3,5,6}:{(101,1),(110,1),(127,1),(159,1),(161,1),(162,1),(164,1)}
       132:{1,3,5,7}:{(101,1),(102,1),(111,1),(160,1),(162,1),(165,1)}
       133:{3,5}:{(103,1),(104,1)}
       134:{3,4,7}:{(103,1),(105,1),(165,1)}
       135:{1,2,4,5,6}:{(104,1),(107,1),(110,1),(119,1),(159,1),(164,1),(167,1),(168,1),(176,1),(203,1),(215,1),(225,1),(227,1)}
       136:{1,2,4,5,7}:{(104,1),(105,1),(108,1),(111,1),(120,1),(160,1),(165,1),(168,1),(169,1),(177,1),(204,1),(212,1)}
       137:{1,2,4,6,7}:{(105,1),(106,1),(109,1),(112,1),(166,1),(168,1),(169,1),(214,1),(224,1)}
       138:{2,4,5,7}:{(107,1),(113,1),(121,1),(170,1)}
       139:{2,4,6}:{(108,1),(114,1),(122,1),(171,1)}
       140:{2,5,7}:{(109,1),(115,1),(171,1)}
       141:{1,4,5,7}:{(110,1),(113,1),(161,1),(172,1)}
       142:{1,4,6}:{(111,1),(114,1),(162,1),(173,1)}
       143:{1,5,7}:{(112,1),(115,1),(173,1)}
       144:{3,4,6,7}:{(113,1),(114,1),(170,1),(172,1),(174,1),(210,1),(228,1)}
       145:{3,5,6}:{(114,1),(115,1),(171,1),(173,1),(175,1)}
       146:{4,5,7}:{(115,1),(116,1),(175,1)}
       147:{1,4,5}:{(117,1),(163,1),(176,1)}
       148:{1,3,5,6}:{(117,1),(119,1),(123,1),(164,1),(176,1),(178,1),(179,1),(215,1)}
       149:{1,3,5,7}:{(117,1),(118,1),(120,1),(165,1),(177,1),(179,1)}
       150:{1,2,5,7}:{(119,1),(121,1),(124,1),(178,1),(180,1)}
       151:{1,2,6}:{(120,1),(122,1),(179,1)}
       152:{2,3,6,7}:{(121,1),(122,1),(170,1),(180,1),(210,1)}
       153:{1,3,7}:{(123,1),(124,1)}
       154:{2,3,5}:{(125,1),(126,1),(181,1)}
       155:{1,2,4,6}:{(126,1),(127,1),(159,1),(181,1),(182,1),(203,1)}
       156:{1,3,4,7}:{(127,1),(161,1),(182,1),(208,1)}
       157:{2,3,5}:{(128,1),(129,1),(133,1),(183,1)}
       158:{2,3,4,7}:{(128,1),(130,1),(134,1),(185,1),(202,1),(216,1)}
       159:{1,2,5,6}:{(129,1),(131,1),(155,1),(184,1),(186,1),(187,1)}
       160:{1,2,5,7}:{(129,1),(130,1),(132,1),(185,1),(187,1)}
       161:{1,3,5,7}:{(131,1),(141,1),(156,1),(186,1),(188,1),(191,1)}
       162:{1,3,6}:{(132,1),(142,1),(187,1),(192,1)}
       163:{3,4,5}:{(133,1),(147,1),(183,1),(189,1)}
       164:{3,5,6}:{(133,1),(135,1),(189,1),(191,1),(192,1)}
       165:{3,5,7}:{(133,1),(134,1),(136,1),(192,1)}
       166:{3,4,6,7}:{(134,1),(137,1),(192,1),(193,1),(222,1)}
       167:{1,2,4,5,7}:{(135,1),(138,1),(141,1),(150,1),(186,1),(191,1),(194,1),(199,1),(216,1),(223,1),(229,1),(230,1)}
       168:{1,2,4,6}:{(136,1),(139,1),(142,1),(151,1),(187,1),(192,1),(195,1),(200,1),(217,1),(222,1)}
       169:{1,2,5,7}:{(137,1),(140,1),(143,1),(193,1),(195,1),(223,1),(229,1)}
       170:{2,4,6,7}:{(138,1),(139,1),(144,1),(152,1),(196,1)}
       171:{2,5,6}:{(139,1),(140,1),(145,1)}
       172:{1,4,6,7}:{(141,1),(142,1),(144,1),(188,1),(197,1)}
       173:{1,5,6}:{(142,1),(143,1),(145,1)}
       174:{3,5,6,7}:{(144,1),(145,1),(196,1),(197,1),(198,1)}
       175:{4,5,6}:{(145,1),(146,1),(222,1)}
       176:{1,4,6}:{(147,1),(148,1),(189,1),(199,1)}
       177:{1,4,5,7}:{(147,1),(149,1),(190,1),(199,1),(200,1),(223,1)}
       178:{1,3,5,7}:{(148,1),(150,1),(153,1),(191,1),(199,1),(201,1),(223,1)}
       179:{1,3,6}:{(149,1),(151,1),(192,1),(200,1)}
       180:{1,2,6,7}:{(150,1),(151,1),(152,1),(201,1)}
       181:{2,3,6}:{(154,1),(155,1),(202,1)}
       182:{1,2,4,7}:{(155,1),(156,1),(186,1),(202,1),(216,1)}
       183:{2,4,5}:{(157,1),(163,1),(203,1)}
       184:{2,3,5,6}:{(157,1),(159,1),(164,1),(181,1),(203,1),(205,1),(206,1),(225,1)}
       185:{2,3,5,7}:{(157,1),(158,1),(160,1),(165,1),(204,1),(206,1)}
       186:{1,2,5,7}:{(159,1),(161,1),(182,1),(205,1),(207,1)}
       187:{1,2,6}:{(160,1),(162,1),(206,1)}
       188:{1,3,6,7}:{(161,1),(162,1),(172,1),(207,1),(210,1)}
       189:{3,4,6}:{(163,1),(164,1),(176,1),(203,1),(208,1)}
       190:{3,4,5,7}:{(163,1),(165,1),(177,1),(204,1),(208,1),(209,1),(212,1),(226,1)}
       191:{3,5,7}:{(164,1),(167,1),(208,1),(210,1)}
       192:{3,6}:{(165,1),(168,1)}
       193:{3,5,7}:{(166,1),(169,1),(211,1),(212,1)}
       194:{1,2,4,6,7}:{(167,1),(168,1),(170,1),(172,1),(180,1),(207,1),(210,1),(213,1),(214,1),(224,1),(228,1)}
       195:{1,2,5,6}:{(168,1),(169,1),(171,1),(173,1),(211,1),(215,1),(225,1)}
       196:{2,5,6,7}:{(170,1),(171,1),(174,1)}
       197:{1,5,6,7}:{(172,1),(173,1),(174,1)}
       198:{4,5,6,7}:{(174,1),(175,1),(228,1)}
       199:{1,4,7}:{(176,1),(178,1),(208,1)}
       200:{1,4,6}:{(177,1),(179,1),(209,1),(215,1)}
       201:{1,3,6,7}:{(178,1),(179,1),(180,1),(210,1),(214,1)}
       202:{2,3,7}:{(181,1),(182,1)}
       203:{2,4,6}:{(183,1),(184,1),(189,1),(216,1)}
       204:{2,4,5,7}:{(183,1),(185,1),(190,1),(216,1),(217,1),(229,1)}
       205:{2,3,5,7}:{(184,1),(186,1),(191,1),(202,1),(216,1),(218,1),(229,1)}
       206:{2,3,6}:{(185,1),(187,1),(192,1),(217,1)}
       207:{1,2,6,7}:{(186,1),(187,1),(188,1),(218,1)}
       208:{3,4,7}:{(189,1),(191,1),(199,1),(216,1)}
       209:{3,4,6}:{(190,1),(192,1),(200,1),(217,1),(220,1),(222,1)}
       210:{3,6,7}:{(191,1),(192,1),(194,1)}
       211:{3,5,6}:{(192,1),(193,1),(195,1),(222,1)}
       212:{4,5,7}:{(193,1),(222,1)}
       213:{1,2,5,6,7}:{(194,1),(195,1),(196,1),(197,1),(221,1),(223,1),(229,1)}
       214:{1,4,6,7}:{(199,1),(200,1),(201,1),(219,1),(223,1)}
       215:{1,5,6}:{(200,1),(220,1),(223,1)}
       216:{2,4,7}:{(203,1),(205,1),(208,1)}
       217:{2,4,6}:{(204,1),(206,1),(209,1),(225,1)}
       218:{2,3,6,7}:{(205,1),(206,1),(207,1),(210,1),(224,1)}
       219:{3,4,6,7}:{(208,1),(209,1),(210,1),(214,1),(224,1),(226,1),(228,1)}
       220:{3,5,6}:{(209,1),(215,1),(225,1),(226,1),(227,1)}
       221:{3,5,6,7}:{(210,1),(211,1),(213,1),(226,1),(228,1)}
       222:{4,6}:{(211,1),(212,1)}
       223:{1,5,7}:{(214,1),(215,1),(226,1)}
       224:{2,4,6,7}:{(216,1),(217,1),(218,1),(219,1),(229,1)}
       225:{2,5,6}:{(217,1),(220,1),(229,1)}
       226:{3,5,7}:{(219,1),(220,1),(223,1),(229,1),(230,1)}
       227:{4,5,6}:{(220,1),(222,1),(230,1)}
       228:{4,6,7}:{(221,1),(222,1),(230,1)}
       229:{2,5,7}:{(224,1),(225,1),(226,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

1140 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(18,1),(28,1),(59,1),(68,1),(127,1)}
         1:{2,3,4,6}:{(2,1),(5,1),(6,1),(20,1),(31,1),(59,1),(68,1),(127,1)}
         2:{1,2,4,6}:{(0,1),(1,1),(9,1),(10,1),(11,1),(43,1),(47,1)}
         3:{1,3,5}:{(0,1),(10,1),(12,1),(45,1),(153,1)}
         4:{1,3,4,7}:{(0,1),(11,1),(13,1),(38,1),(89,1),(99,1),(226,1)}
         5:{2,3,5}:{(1,1),(10,1),(14,1),(45,1),(153,1)}
         6:{2,3,4,7}:{(1,1),(11,1),(15,1),(41,1),(89,1),(99,1),(227,1)}
         7:{1,3,5,6}:{(3,1),(17,1),(18,1),(19,1),(28,1),(57,1),(59,1),(77,1),(132,1)}
         8:{2,3,5,6}:{(5,1),(17,1),(20,1),(21,1),(31,1),(32,1),(59,1),(80,1),(132,1)}
         9:{1,2,3,6}:{(2,1),(22,1),(23,1),(59,1),(115,1)}
        10:{1,2,5}:{(2,1),(3,1),(5,1)}
        11:{1,2,4,7}:{(2,1),(4,1),(6,1),(23,1),(25,1),(229,1)}
        12:{1,4,5}:{(3,1),(18,1),(26,1),(173,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(25,1),(27,1),(28,1),(73,1),(219,1),(222,1)}
        14:{2,4,5}:{(5,1),(20,1),(29,1),(173,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(25,1),(30,1),(31,1),(73,1),(220,1),(223,1)}
        16:{2,4,5,6}:{(20,1),(32,1),(33,1),(80,1),(136,1)}
        17:{1,2,5,6}:{(7,1),(8,1),(10,1),(35,1),(36,1),(47,1),(54,1),(84,1)}
        18:{1,4,6}:{(7,1),(12,1),(37,1),(38,1),(157,1)}
        19:{1,3,5,7}:{(7,1),(36,1),(38,1),(39,1),(85,1),(89,1),(93,1),(144,1)}
        20:{2,4,6}:{(8,1),(14,1),(40,1),(41,1),(157,1)}
        21:{2,3,5,7}:{(8,1),(36,1),(41,1),(42,1),(55,1),(89,1),(96,1),(144,1)}
        22:{1,2,3,5}:{(9,1),(10,1),(43,1),(45,1),(101,1),(149,1)}
        23:{1,2,3,7}:{(9,1),(11,1),(89,1),(141,1),(230,1)}
        24:{1,2,4,5}:{(10,1),(12,1),(14,1),(35,1),(43,1),(45,1),(48,1),(51,1),(101,1)}
        25:{1,2,5,7}:{(10,1),(11,1),(13,1),(15,1),(47,1),(225,1),(228,1)}
        26:{3,4,5}:{(12,1),(37,1),(45,1),(48,1)}
        27:{1,4,5,7}:{(12,1),(13,1),(38,1),(49,1),(50,1),(93,1),(212,1),(216,1)}
        28:{1,3,6}:{(13,1),(47,1),(50,1),(104,1)}
        29:{3,4,5}:{(14,1),(40,1),(45,1),(51,1)}
        30:{2,4,5,7}:{(14,1),(15,1),(41,1),(52,1),(53,1),(96,1),(211,1),(215,1)}
        31:{2,3,6}:{(15,1),(47,1),(53,1),(104,1)}
        32:{3,5,6}:{(16,1),(40,1),(54,1),(55,1)}
        33:{2,4,5,7}:{(16,1),(41,1),(55,1),(56,1),(96,1),(148,1)}
        34:{1,4,5,6}:{(18,1),(57,1),(58,1),(77,1),(134,1)}
        35:{1,2,4,6}:{(17,1),(18,1),(20,1),(24,1),(59,1),(60,1),(62,1),(65,1),(115,1)}
        36:{1,2,5,7}:{(17,1),(19,1),(21,1),(60,1),(61,1),(81,1),(112,1)}
        37:{3,4,6}:{(18,1),(26,1),(57,1),(59,1),(62,1),(63,1)}
        38:{1,4,7}:{(18,1),(19,1),(63,1),(166,1)}
        39:{1,3,6,7}:{(19,1),(28,1),(61,1),(64,1),(113,1),(118,1),(219,1)}
        40:{3,4,6}:{(20,1),(29,1),(32,1),(59,1),(65,1),(66,1)}
        41:{2,4,7}:{(20,1),(21,1),(66,1),(166,1)}
        42:{2,3,6,7}:{(21,1),(31,1),(61,1),(67,1),(82,1),(118,1),(220,1)}
        43:{1,2,4}:{(22,1),(68,1)}
        44:{1,2,3,5,7}:{(22,1),(23,1),(25,1),(69,1),(70,1),(73,1),(128,1),(129,1),(169,1),(202,1)}
        45:{3,5}:{(24,1),(59,1),(68,1)}
        46:{1,2,4,5,7}:{(24,1),(25,1),(27,1),(30,1),(60,1),(69,1),(73,1),(74,1),(75,1),(78,1),(119,1),(128,1),(129,1),(166,1),(173,1),(197,1),(203,1)}
        47:{1,2,6}:{(25,1),(28,1),(31,1)}
        48:{2,4,5}:{(26,1),(62,1),(72,1)}
        49:{3,4,5,7}:{(26,1),(27,1),(63,1),(73,1),(75,1),(76,1),(121,1),(166,1),(173,1),(199,1),(205,1)}
        50:{1,4,6}:{(27,1),(28,1),(76,1),(77,1)}
        51:{1,4,5}:{(29,1),(65,1),(71,1)}
        52:{3,4,5,7}:{(29,1),(30,1),(66,1),(73,1),(78,1),(79,1),(123,1),(166,1),(173,1),(198,1),(204,1)}
        53:{2,4,6}:{(30,1),(31,1),(79,1),(80,1)}
        54:{1,5,6}:{(32,1),(65,1),(81,1)}
        55:{3,5,7}:{(32,1),(33,1),(66,1),(81,1),(82,1)}
        56:{2,4,6,7}:{(33,1),(82,1),(83,1),(138,1)}
        57:{3,5,6}:{(34,1),(37,1),(84,1),(85,1)}
        58:{1,4,5,7}:{(34,1),(38,1),(85,1),(86,1),(93,1),(146,1)}
        59:{3,6}:{(35,1),(45,1),(89,1)}
        60:{1,2,4,7}:{(35,1),(36,1),(38,1),(41,1),(89,1),(91,1),(94,1),(141,1)}
        61:{1,2,6,7}:{(36,1),(39,1),(42,1),(47,1),(110,1),(139,1),(225,1)}
        62:{2,4,6}:{(37,1),(48,1),(84,1),(88,1),(91,1)}
        63:{3,4,7}:{(37,1),(38,1),(85,1),(89,1),(91,1)}
        64:{1,4,6,7}:{(38,1),(39,1),(50,1),(92,1),(93,1),(209,1),(212,1)}
        65:{1,4,6}:{(40,1),(51,1),(54,1),(87,1),(94,1)}
        66:{3,4,7}:{(40,1),(41,1),(55,1),(89,1),(94,1)}
        67:{2,4,6,7}:{(41,1),(42,1),(53,1),(95,1),(96,1),(195,1),(211,1)}
        68:{3,4}:{(43,1),(45,1)}
        69:{1,2,4,7}:{(43,1),(44,1),(99,1),(100,1),(213,1)}
        70:{1,2,3,6}:{(44,1),(47,1),(100,1),(104,1),(154,1)}
        71:{1,3,5}:{(45,1),(51,1),(87,1),(97,1),(101,1)}
        72:{2,3,5}:{(45,1),(48,1),(88,1),(98,1),(101,1)}
        73:{3,5,7}:{(45,1),(46,1),(89,1),(99,1),(104,1),(153,1),(210,1),(214,1)}
        74:{1,2,4,6}:{(46,1),(47,1),(50,1),(53,1),(104,1),(105,1),(106,1),(108,1),(154,1),(157,1)}
        75:{2,4,5,7}:{(48,1),(49,1),(91,1),(103,1),(106,1),(145,1),(183,1),(189,1)}
        76:{3,4,6}:{(49,1),(50,1),(104,1),(106,1),(107,1),(157,1)}
        77:{1,5,6}:{(50,1),(93,1),(107,1)}
        78:{1,4,5,7}:{(51,1),(52,1),(94,1),(102,1),(108,1),(147,1),(182,1),(188,1)}
        79:{3,4,6}:{(52,1),(53,1),(104,1),(108,1),(109,1),(157,1)}
        80:{2,5,6}:{(53,1),(96,1),(109,1)}
        81:{1,5,7}:{(54,1),(55,1),(94,1),(110,1)}
        82:{3,6,7}:{(55,1),(56,1),(110,1)}
        83:{2,5,6,7}:{(56,1),(96,1),(111,1),(195,1)}
        84:{2,5,6}:{(57,1),(62,1),(112,1)}
        85:{3,5,7}:{(57,1),(58,1),(63,1),(112,1),(113,1)}
        86:{1,4,6,7}:{(58,1),(113,1),(114,1),(162,1)}
        87:{1,3,6}:{(59,1),(65,1),(71,1),(115,1),(116,1)}
        88:{2,3,6}:{(59,1),(62,1),(72,1),(115,1),(117,1)}
        89:{3,7}:{(59,1),(60,1)}
        90:{1,2,4,6,7}:{(60,1),(61,1),(64,1),(67,1),(74,1),(118,1),(119,1),(120,1),(122,1),(163,1),(166,1),(197,1)}
        91:{2,4,7}:{(62,1),(63,1),(112,1),(117,1)}
        92:{3,4,6,7}:{(63,1),(64,1),(76,1),(113,1),(118,1),(120,1),(121,1),(162,1),(166,1),(196,1),(199,1)}
        93:{1,5,7}:{(64,1),(77,1),(121,1)}
        94:{1,4,7}:{(65,1),(66,1),(81,1),(116,1)}
        95:{3,4,6,7}:{(66,1),(67,1),(79,1),(82,1),(118,1),(122,1),(123,1),(138,1),(166,1),(179,1),(198,1)}
        96:{2,5,7}:{(67,1),(80,1),(123,1)}
        97:{1,3,4}:{(68,1),(71,1),(124,1)}
        98:{2,3,4}:{(68,1),(72,1),(124,1)}
        99:{3,4,7}:{(68,1),(69,1),(73,1),(127,1),(166,1),(221,1)}
       100:{1,2,4,6}:{(69,1),(70,1),(127,1),(128,1)}
       101:{1,2,5}:{(71,1),(72,1),(115,1),(124,1)}
       102:{1,3,5,7}:{(71,1),(73,1),(78,1),(116,1),(125,1),(129,1),(130,1),(171,1)}
       103:{2,3,5,7}:{(72,1),(73,1),(75,1),(117,1),(126,1),(129,1),(131,1),(172,1)}
       104:{3,6}:{(73,1),(74,1)}
       105:{1,2,5,6}:{(74,1),(77,1),(80,1),(119,1),(128,1),(132,1),(133,1),(135,1)}
       106:{2,4,6}:{(75,1),(76,1),(131,1),(133,1)}
       107:{3,5,6}:{(76,1),(77,1),(121,1),(133,1),(134,1)}
       108:{1,4,6}:{(78,1),(79,1),(130,1),(135,1)}
       109:{3,5,6}:{(79,1),(80,1),(123,1),(135,1),(136,1)}
       110:{1,6,7}:{(81,1),(82,1)}
       111:{3,5,6,7}:{(82,1),(83,1),(123,1),(137,1),(138,1),(179,1)}
       112:{2,5,7}:{(84,1),(85,1),(91,1),(139,1)}
       113:{3,6,7}:{(85,1),(86,1),(139,1)}
       114:{1,5,6,7}:{(86,1),(93,1),(140,1),(209,1)}
       115:{1,2,6}:{(87,1),(88,1),(101,1),(141,1)}
       116:{1,3,7}:{(87,1),(89,1),(94,1),(141,1)}
       117:{2,3,7}:{(88,1),(89,1),(91,1),(141,1)}
       118:{3,6,7}:{(89,1),(90,1),(104,1),(144,1),(210,1)}
       119:{1,2,5,7}:{(90,1),(93,1),(96,1),(105,1),(144,1),(145,1),(147,1)}
       120:{2,4,6,7}:{(91,1),(92,1),(106,1),(139,1),(143,1),(145,1),(183,1)}
       121:{3,5,7}:{(92,1),(93,1),(107,1),(145,1),(146,1)}
       122:{1,4,6,7}:{(94,1),(95,1),(108,1),(110,1),(142,1),(147,1),(182,1)}
       123:{3,5,7}:{(95,1),(96,1),(109,1),(147,1),(148,1)}
       124:{1,2,4}:{(97,1),(98,1),(101,1),(149,1)}
       125:{1,3,4,7}:{(97,1),(99,1),(102,1),(150,1),(151,1),(182,1),(210,1)}
       126:{2,3,4,7}:{(98,1),(99,1),(103,1),(150,1),(152,1),(183,1),(210,1)}
       127:{3,4,6}:{(99,1),(100,1),(104,1),(153,1),(157,1)}
       128:{1,2,5}:{(100,1),(153,1)}
       129:{1,2,5,7}:{(101,1),(102,1),(103,1),(141,1),(150,1),(154,1),(187,1)}
       130:{1,3,6}:{(102,1),(104,1),(108,1),(154,1)}
       131:{2,3,6}:{(103,1),(104,1),(106,1),(154,1)}
       132:{3,5,6}:{(104,1),(105,1),(144,1),(153,1),(157,1)}
       133:{2,5,6}:{(106,1),(107,1),(145,1)}
       134:{4,5,6}:{(107,1),(146,1),(157,1)}
       135:{1,5,6}:{(108,1),(109,1),(147,1)}
       136:{4,5,6}:{(109,1),(148,1),(157,1)}
       137:{1,5,6,7}:{(110,1),(111,1),(147,1),(160,1)}
       138:{4,6,7}:{(111,1),(148,1)}
       139:{2,6,7}:{(112,1),(113,1)}
       140:{3,5,6,7}:{(113,1),(114,1),(121,1),(161,1),(162,1),(196,1)}
       141:{1,2,7}:{(115,1),(116,1),(117,1)}
       142:{1,3,6,7}:{(116,1),(118,1),(122,1),(130,1),(163,1),(164,1),(179,1)}
       143:{2,3,6,7}:{(117,1),(118,1),(120,1),(131,1),(163,1),(165,1),(196,1)}
       144:{3,5,7}:{(118,1),(119,1),(132,1),(166,1)}
       145:{2,5,7}:{(120,1),(121,1),(133,1)}
       146:{4,5,7}:{(121,1),(134,1),(162,1),(166,1)}
       147:{1,5,7}:{(122,1),(123,1),(135,1)}
       148:{4,5,7}:{(123,1),(136,1),(138,1),(166,1)}
       149:{1,2,3}:{(124,1)}
       150:{1,2,4,7}:{(124,1),(125,1),(126,1),(129,1),(169,1),(170,1)}
       151:{1,3,4,6}:{(125,1),(127,1),(130,1),(170,1),(171,1),(175,1),(206,1),(221,1)}
       152:{2,3,4,6}:{(126,1),(127,1),(131,1),(170,1),(172,1),(176,1),(206,1),(221,1)}
       153:{3,5}:{(127,1),(128,1),(173,1)}
       154:{1,2,6}:{(129,1),(130,1),(131,1)}
       155:{1,3,5,6}:{(130,1),(132,1),(135,1),(164,1),(171,1),(174,1),(175,1),(178,1),(206,1)}
       156:{2,3,5,6}:{(131,1),(132,1),(133,1),(165,1),(172,1),(174,1),(176,1),(177,1),(206,1)}
       157:{4,6}:{(132,1),(166,1),(173,1)}
       158:{2,4,5,6}:{(133,1),(134,1),(167,1),(176,1),(177,1)}
       159:{1,4,5,6}:{(135,1),(136,1),(168,1),(175,1),(178,1)}
       160:{1,4,6,7}:{(137,1),(138,1),(168,1),(179,1)}
       161:{2,5,6,7}:{(139,1),(140,1),(145,1),(180,1)}
       162:{4,6,7}:{(140,1),(146,1)}
       163:{1,2,6,7}:{(141,1),(142,1),(143,1),(154,1),(181,1),(195,1),(209,1)}
       164:{1,3,5,7}:{(142,1),(144,1),(147,1),(155,1),(181,1),(182,1),(185,1),(210,1)}
       165:{2,3,5,7}:{(143,1),(144,1),(145,1),(156,1),(181,1),(183,1),(184,1),(210,1)}
       166:{4,7}:{(144,1),(157,1)}
       167:{2,4,5,7}:{(145,1),(146,1),(158,1),(180,1),(183,1),(184,1)}
       168:{1,4,5,7}:{(147,1),(148,1),(159,1),(160,1),(182,1),(185,1)}
       169:{1,2,3,7}:{(149,1),(150,1),(186,1),(210,1),(225,1)}
       170:{1,2,4,6}:{(150,1),(151,1),(152,1),(154,1),(186,1),(187,1),(213,1)}
       171:{1,3,5}:{(151,1),(153,1),(187,1),(188,1),(214,1)}
       172:{2,3,5}:{(152,1),(153,1),(187,1),(189,1),(214,1)}
       173:{4,5}:{(153,1),(157,1)}
       174:{1,2,5,6}:{(154,1),(155,1),(156,1),(181,1),(187,1),(190,1),(193,1),(194,1)}
       175:{1,4,6}:{(155,1),(157,1),(182,1),(188,1),(191,1)}
       176:{2,4,6}:{(156,1),(157,1),(183,1),(189,1),(192,1)}
       177:{3,5,6}:{(158,1),(184,1),(192,1),(193,1)}
       178:{3,5,6}:{(159,1),(185,1),(191,1),(194,1)}
       179:{3,6,7}:{(160,1),(185,1),(195,1)}
       180:{2,4,6,7}:{(161,1),(162,1),(167,1),(196,1)}
       181:{1,2,5,7}:{(163,1),(164,1),(165,1),(174,1),(197,1),(200,1),(201,1)}
       182:{1,4,7}:{(164,1),(166,1),(175,1),(198,1)}
       183:{2,4,7}:{(165,1),(166,1),(176,1),(199,1)}
       184:{3,5,7}:{(167,1),(177,1),(196,1),(199,1),(200,1)}
       185:{3,5,7}:{(168,1),(178,1),(179,1),(198,1),(201,1)}
       186:{1,2,3,6}:{(169,1),(170,1),(202,1),(206,1),(224,1)}
       187:{1,2,5}:{(170,1),(171,1),(172,1)}
       188:{1,4,5}:{(171,1),(173,1),(175,1),(204,1)}
       189:{2,4,5}:{(172,1),(173,1),(176,1),(205,1)}
       190:{1,2,4,6}:{(174,1),(175,1),(176,1),(197,1),(203,1),(206,1),(207,1),(208,1),(224,1)}
       191:{3,4,6}:{(175,1),(178,1),(198,1),(204,1),(206,1),(207,1)}
       192:{3,4,6}:{(176,1),(177,1),(199,1),(205,1),(206,1),(208,1)}
       193:{1,5,6}:{(177,1),(200,1),(208,1)}
       194:{2,5,6}:{(178,1),(201,1),(207,1)}
       195:{2,6,7}:{(179,1),(201,1)}
       196:{3,6,7}:{(180,1),(184,1),(209,1)}
       197:{1,2,4,7}:{(181,1),(182,1),(183,1),(190,1),(210,1),(211,1),(212,1),(225,1)}
       198:{3,4,7}:{(182,1),(185,1),(191,1),(210,1),(211,1)}
       199:{3,4,7}:{(183,1),(184,1),(192,1),(210,1),(212,1)}
       200:{1,5,7}:{(184,1),(193,1),(209,1),(212,1)}
       201:{2,5,7}:{(185,1),(194,1),(195,1),(211,1)}
       202:{1,2,3,5}:{(186,1),(187,1),(213,1),(214,1),(228,1),(230,1)}
       203:{1,2,4,5}:{(187,1),(188,1),(189,1),(190,1),(213,1),(214,1),(215,1),(216,1),(228,1)}
       204:{3,4,5}:{(188,1),(191,1),(214,1),(215,1)}
       205:{3,4,5}:{(189,1),(192,1),(214,1),(216,1)}
       206:{3,6}:{(190,1),(210,1),(214,1)}
       207:{2,4,6}:{(191,1),(194,1),(211,1),(215,1),(218,1)}
       208:{1,4,6}:{(192,1),(193,1),(212,1),(216,1),(217,1)}
       209:{1,6,7}:{(196,1),(200,1)}
       210:{3,7}:{(197,1),(206,1)}
       211:{2,4,7}:{(198,1),(201,1),(207,1),(220,1)}
       212:{1,4,7}:{(199,1),(200,1),(208,1),(219,1)}
       213:{1,2,4}:{(202,1),(221,1)}
       214:{3,5}:{(203,1),(206,1),(221,1)}
       215:{2,4,5}:{(204,1),(207,1),(223,1)}
       216:{1,4,5}:{(205,1),(208,1),(222,1)}
       217:{1,3,6}:{(206,1),(208,1),(219,1),(222,1),(224,1)}
       218:{2,3,6}:{(206,1),(207,1),(220,1),(223,1),(224,1)}
       219:{1,3,7}:{(210,1),(212,1),(217,1),(225,1)}
       220:{2,3,7}:{(210,1),(211,1),(218,1),(225,1)}
       221:{3,4}:{(213,1),(214,1)}
       222:{1,3,5}:{(214,1),(216,1),(217,1),(226,1),(228,1)}
       223:{2,3,5}:{(214,1),(215,1),(218,1),(227,1),(228,1)}
       224:{1,2,6}:{(217,1),(218,1),(225,1),(228,1)}
       225:{1,2,7}:{(219,1),(220,1),(224,1)}
       226:{1,3,4}:{(221,1),(222,1),(229,1)}
       227:{2,3,4}:{(221,1),(223,1),(229,1)}
       228:{1,2,5}:{(222,1),(223,1),(224,1),(229,1)}
       229:{1,2,4}:{(226,1),(227,1),(228,1),(230,1)}
       230:{1,2,3}:{(229,1)}

1141 :   0:{1,3,4,6,7}:{(1,1),(2,1),(13,1),(18,1),(32,1),(34,1),(42,1),(63,1),(75,1),(99,1),(108,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(20,1),(21,1),(30,1),(61,1),(94,1),(112,1)}
         2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(29,1),(79,1),(109,1)}
         3:{1,3,5,6,7}:{(6,1),(8,1),(9,1),(28,1),(29,1),(59,1),(116,1)}
         4:{2,3,6,7}:{(1,1),(10,1),(34,1),(108,1),(124,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(10,1),(11,1),(44,1),(121,1)}
         6:{1,3,5,6}:{(2,1),(11,1),(13,1),(34,1),(37,1)}
         7:{1,4,5,7}:{(2,1),(13,1),(14,1),(75,1),(95,1)}
         8:{1,2,5,6,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(72,1),(77,1),(103,1)}
         9:{1,4,6,7}:{(3,1),(13,1),(17,1),(18,1),(75,1),(127,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(19,1),(20,1),(22,1),(130,1)}
        11:{1,2,5,6}:{(5,1),(6,1),(19,1),(21,1),(53,1),(79,1)}
        12:{1,2,4,5,7}:{(5,1),(7,1),(20,1),(21,1),(22,1),(25,1),(45,1),(47,1),(52,1),(79,1),(94,1),(110,1)}
        13:{1,4,6}:{(6,1),(7,1),(24,1)}
        14:{3,4,5,7}:{(7,1),(22,1),(24,1),(25,1),(29,1),(58,1),(78,1)}
        15:{2,3,5,6,7}:{(8,1),(19,1),(26,1),(28,1),(55,1),(60,1),(88,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(21,1),(26,1),(27,1),(28,1),(30,1),(56,1),(61,1),(94,1),(115,1)}
        17:{1,4,5,7}:{(9,1),(23,1),(29,1),(134,1)}
        18:{3,4,6,7}:{(9,1),(24,1),(28,1),(29,1),(30,1),(58,1),(133,1)}
        19:{2,3,5,6}:{(10,1),(11,1),(31,1),(34,1),(62,1)}
        20:{2,4,7}:{(10,1),(31,1),(32,1),(136,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(13,1),(31,1),(34,1),(38,1),(63,1),(69,1)}
        22:{3,5,7}:{(12,1),(32,1),(34,1),(62,1),(108,1),(122,1)}
        23:{1,4,5,6}:{(13,1),(17,1),(37,1)}
        24:{3,4,6}:{(13,1),(14,1),(34,1),(37,1),(38,1)}
        25:{2,4,5,7}:{(14,1),(36,1),(38,1),(44,1),(76,1),(96,1)}
        26:{2,4,6,7}:{(15,1),(31,1),(39,1),(40,1),(76,1),(102,1)}
        27:{1,2,4,5,7}:{(16,1),(17,1),(33,1),(39,1),(41,1),(44,1),(72,1),(75,1),(76,1),(77,1)}
        28:{3,6,7}:{(16,1),(34,1),(41,1),(108,1),(126,1)}
        29:{3,5,7}:{(17,1),(18,1),(37,1),(44,1),(138,1)}
        30:{2,4,6,7}:{(18,1),(38,1),(43,1),(44,1),(76,1),(137,1)}
        31:{2,4,6}:{(19,1),(20,1),(45,1),(46,1)}
        32:{3,4,7}:{(20,1),(22,1),(46,1),(47,1),(131,1)}
        33:{1,2,4,5,6}:{(21,1),(23,1),(27,1),(45,1),(49,1),(53,1),(54,1),(79,1),(83,1),(84,1),(85,1),(87,1),(110,1),(115,1),(134,1),(139,1)}
        34:{3,6}:{(21,1),(22,1)}
        35:{1,3,5,7}:{(22,1),(47,1),(50,1),(52,1),(79,1),(82,1),(111,1)}
        36:{2,3,5,7}:{(22,1),(25,1),(48,1),(51,1),(52,1),(80,1)}
        37:{3,5,6}:{(23,1),(24,1),(29,1),(53,1)}
        38:{2,4,6}:{(24,1),(25,1),(51,1),(53,1)}
        39:{2,4,5,7}:{(26,1),(45,1),(54,1),(55,1)}
        40:{3,4,6,7}:{(26,1),(28,1),(46,1),(55,1),(56,1),(58,1),(86,1)}
        41:{3,5,7}:{(27,1),(28,1),(49,1),(58,1)}
        42:{1,3,6,7}:{(28,1),(50,1),(56,1),(59,1),(61,1),(114,1)}
        43:{2,3,6,7}:{(28,1),(30,1),(51,1),(60,1),(61,1),(132,1)}
        44:{2,5,7}:{(29,1),(30,1),(53,1),(139,1)}
        45:{2,4,5}:{(31,1),(62,1)}
        46:{3,4,6}:{(31,1),(32,1),(34,1),(62,1),(63,1)}
        47:{1,4,7}:{(32,1),(35,1),(63,1),(123,1)}
        48:{2,3,4,7}:{(32,1),(36,1),(64,1),(65,1),(76,1),(108,1)}
        49:{3,5,6}:{(33,1),(34,1),(41,1),(62,1),(66,1),(122,1),(126,1),(138,1)}
        50:{1,3,6}:{(34,1),(35,1),(63,1),(69,1)}
        51:{2,3,6}:{(34,1),(36,1),(38,1),(69,1)}
        52:{1,2,5,7}:{(35,1),(36,1),(65,1),(69,1),(97,1)}
        53:{2,5,6}:{(37,1),(38,1),(44,1)}
        54:{2,4,5,6}:{(39,1),(70,1),(102,1)}
        55:{3,5,7}:{(39,1),(40,1),(62,1),(70,1),(72,1)}
        56:{1,4,6,7}:{(40,1),(42,1),(63,1),(72,1),(75,1),(101,1)}
        57:{2,3,4,6,7}:{(40,1),(43,1),(64,1),(73,1),(74,1),(76,1),(102,1),(108,1),(126,1),(129,1),(137,1)}
        58:{3,4,7}:{(41,1),(66,1),(75,1),(76,1),(108,1)}
        59:{1,3,5,7}:{(41,1),(42,1),(67,1),(72,1),(75,1),(77,1),(108,1)}
        60:{2,3,5,7}:{(41,1),(43,1),(44,1),(68,1),(76,1),(77,1),(108,1)}
        61:{1,2,6,7}:{(42,1),(43,1),(69,1),(77,1),(125,1)}
        62:{3,5}:{(45,1),(46,1),(79,1)}
        63:{1,4,6}:{(46,1),(47,1),(50,1),(79,1)}
        64:{2,3,4,6}:{(46,1),(48,1),(51,1),(80,1),(81,1),(84,1),(113,1),(131,1)}
        65:{1,2,4,7}:{(47,1),(48,1),(52,1),(81,1),(82,1)}
        66:{3,4,6}:{(49,1),(58,1),(78,1),(83,1),(84,1),(113,1),(131,1)}
        67:{1,3,5,6}:{(49,1),(50,1),(59,1),(79,1),(83,1),(85,1),(87,1),(109,1),(111,1),(113,1),(114,1)}
        68:{2,3,5,6}:{(49,1),(51,1),(53,1),(60,1),(80,1),(84,1),(85,1),(113,1),(130,1),(132,1),(139,1)}
        69:{1,2,6}:{(50,1),(51,1),(52,1)}
        70:{3,5,6}:{(54,1),(55,1),(86,1),(87,1)}
        71:{3,4,5,7}:{(55,1),(58,1),(78,1),(86,1),(89,1),(90,1),(118,1)}
        72:{1,5,7}:{(55,1),(56,1),(79,1),(87,1)}
        73:{2,3,5,7}:{(55,1),(57,1),(80,1),(88,1),(90,1),(91,1),(118,1),(139,1)}
        74:{1,2,4,6,7}:{(56,1),(57,1),(61,1),(81,1),(91,1),(92,1),(94,1),(115,1),(119,1)}
        75:{1,4,7}:{(58,1),(59,1),(83,1)}
        76:{2,4,7}:{(58,1),(60,1),(84,1)}
        77:{1,2,5,7}:{(59,1),(60,1),(61,1),(85,1),(94,1)}
        78:{3,4,5}:{(62,1),(66,1),(95,1),(96,1),(122,1),(138,1)}
        79:{1,5}:{(62,1),(63,1)}
        80:{2,3,5}:{(62,1),(64,1),(96,1),(97,1),(122,1)}
        81:{1,2,4,6}:{(63,1),(64,1),(65,1),(69,1),(97,1),(98,1),(123,1)}
        82:{1,3,7}:{(65,1),(98,1),(108,1)}
        83:{1,4,6}:{(66,1),(67,1),(75,1),(95,1),(123,1)}
        84:{2,4,6}:{(66,1),(68,1),(76,1),(96,1),(136,1)}
        85:{1,2,5,6}:{(67,1),(68,1),(69,1),(77,1),(97,1),(100,1),(121,1),(125,1)}
        86:{3,4,6}:{(70,1),(71,1),(101,1),(102,1),(126,1)}
        87:{1,5,6}:{(70,1),(72,1),(101,1)}
        88:{2,3,5,6}:{(70,1),(73,1),(102,1),(103,1),(126,1)}
        89:{1,4,5,7}:{(71,1),(72,1),(75,1),(95,1),(101,1),(104,1)}
        90:{2,4,5,7}:{(71,1),(73,1),(76,1),(96,1),(102,1)}
        91:{1,2,5,7}:{(72,1),(73,1),(74,1),(97,1),(103,1),(106,1)}
        92:{1,3,6,7}:{(74,1),(98,1),(106,1),(108,1),(126,1)}
        93:{1,3,4,7}:{(75,1),(99,1),(104,1),(107,1),(108,1),(129,1)}
        94:{1,2,4,7}:{(75,1),(76,1),(77,1),(100,1),(108,1)}
        95:{1,4,5}:{(78,1),(79,1),(83,1),(109,1)}
        96:{2,4,5}:{(78,1),(80,1),(84,1),(139,1)}
        97:{1,2,5}:{(79,1),(80,1),(81,1),(111,1)}
        98:{1,3,6}:{(81,1),(82,1),(111,1),(113,1)}
        99:{1,3,4,6}:{(83,1),(93,1),(109,1),(112,1),(113,1),(114,1),(131,1),(133,1)}
       100:{1,2,4,6}:{(83,1),(84,1),(85,1),(94,1),(110,1),(113,1)}
       101:{1,4,6}:{(86,1),(87,1),(89,1),(114,1)}
       102:{2,4,6}:{(86,1),(88,1),(90,1)}
       103:{1,2,5,6}:{(87,1),(88,1),(91,1),(115,1),(116,1),(139,1)}
       104:{1,3,5,7}:{(89,1),(93,1),(109,1),(114,1),(117,1),(118,1)}
       105:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(110,1),(115,1),(117,1),(118,1),(119,1),(134,1),(135,1),(139,1)}
       106:{1,3,5,7}:{(91,1),(92,1),(111,1),(116,1),(118,1),(119,1)}
       107:{1,2,4,7}:{(93,1),(112,1),(117,1),(120,1),(135,1)}
       108:{3,7}:{(94,1),(113,1)}
       109:{1,3,5}:{(95,1),(99,1),(121,1),(122,1),(138,1)}
       110:{1,2,4,5}:{(95,1),(96,1),(97,1),(100,1),(121,1),(122,1),(123,1),(136,1)}
       111:{1,3,5}:{(97,1),(98,1),(122,1),(123,1)}
       112:{1,2,4,6}:{(99,1),(107,1),(121,1),(124,1),(125,1),(136,1),(137,1)}
       113:{3,6}:{(100,1),(108,1),(122,1)}
       114:{1,3,6}:{(101,1),(104,1),(125,1),(126,1)}
       115:{1,2,4,6}:{(101,1),(102,1),(103,1),(105,1),(125,1),(126,1),(127,1),(137,1)}
       116:{1,3,5,6}:{(103,1),(106,1),(126,1),(127,1),(138,1)}
       117:{1,2,5,7}:{(104,1),(107,1),(121,1),(125,1),(128,1)}
       118:{3,5,7}:{(105,1),(108,1),(122,1),(126,1),(129,1),(138,1)}
       119:{1,4,7}:{(106,1),(123,1),(127,1),(129,1)}
       120:{2,3,7}:{(107,1),(108,1),(124,1)}
       121:{1,2,5}:{(109,1),(112,1),(130,1),(139,1)}
       122:{3,5}:{(110,1),(113,1),(131,1)}
       123:{1,4}:{(111,1),(131,1)}
       124:{2,3,6}:{(112,1),(113,1),(120,1),(130,1)}
       125:{1,2,6}:{(114,1),(117,1),(132,1)}
       126:{3,6}:{(115,1),(118,1)}
       127:{1,4,6}:{(116,1),(119,1),(133,1),(134,1)}
       128:{2,3,5,7}:{(117,1),(118,1),(120,1),(130,1),(132,1),(135,1),(139,1)}
       129:{3,4,7}:{(118,1),(119,1),(131,1),(133,1),(135,1)}
       130:{2,3,5}:{(121,1),(122,1),(124,1),(136,1)}
       131:{3,4}:{(122,1),(123,1),(136,1)}
       132:{2,3,6}:{(125,1),(126,1),(128,1),(137,1)}
       133:{3,4,6}:{(126,1),(127,1),(129,1),(137,1),(138,1)}
       134:{1,4,5}:{(127,1),(138,1)}
       135:{2,4,7}:{(128,1),(129,1),(136,1),(137,1)}
       136:{2,4}:{(130,1),(131,1)}
       137:{2,4,6}:{(132,1),(133,1),(135,1),(139,1)}
       138:{3,5}:{(133,1),(134,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1142 :   0:{2,3,4,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1),(52,1),(56,1),(84,1),(90,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(69,1),(100,1),(104,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(37,1),(72,1),(101,1)}
         3:{1,3,6,7}:{(1,1),(8,1),(29,1),(113,1),(117,1)}
         4:{1,2,5,7}:{(1,1),(2,1),(8,1),(9,1),(53,1),(114,1)}
         5:{2,3,5,6}:{(2,1),(9,1),(11,1),(29,1),(32,1)}
         6:{2,4,5,7}:{(2,1),(11,1),(12,1),(84,1),(87,1)}
         7:{2,3,5,6,7}:{(5,1),(13,1),(14,1),(36,1),(37,1),(68,1),(120,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(18,1),(125,1)}
         9:{1,2,5,6}:{(4,1),(5,1),(15,1),(17,1),(47,1),(72,1)}
        10:{1,2,4,5,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(21,1),(39,1),(42,1),(46,1),(72,1),(100,1),(102,1)}
        11:{2,4,6}:{(5,1),(6,1),(20,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(66,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(9,1),(22,1),(23,1),(53,1),(81,1),(85,1),(108,1)}
        14:{2,4,6,7}:{(7,1),(11,1),(24,1),(25,1),(84,1),(129,1)}
        15:{1,3,5,6}:{(8,1),(9,1),(26,1),(29,1),(54,1)}
        16:{1,4,7}:{(8,1),(26,1),(27,1),(132,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(11,1),(26,1),(29,1),(33,1),(56,1),(61,1)}
        18:{3,5,7}:{(10,1),(27,1),(29,1),(54,1),(113,1),(115,1)}
        19:{2,4,5,6}:{(11,1),(24,1),(32,1)}
        20:{3,4,6}:{(11,1),(12,1),(29,1),(32,1),(33,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(33,1),(53,1),(83,1),(86,1)}
        22:{1,3,5,6,7}:{(13,1),(15,1),(34,1),(36,1),(63,1),(67,1),(93,1)}
        23:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(38,1),(65,1),(69,1),(100,1),(119,1)}
        24:{2,4,5,7}:{(14,1),(19,1),(37,1),(135,1)}
        25:{3,4,6,7}:{(14,1),(20,1),(36,1),(37,1),(38,1),(66,1),(134,1)}
        26:{1,4,6}:{(15,1),(16,1),(39,1),(40,1)}
        27:{3,4,7}:{(16,1),(18,1),(40,1),(42,1),(126,1)}
        28:{1,2,4,5,6}:{(17,1),(19,1),(35,1),(39,1),(43,1),(47,1),(62,1),(72,1),(75,1),(76,1),(77,1),(94,1),(102,1),(119,1),(135,1),(139,1)}
        29:{3,6}:{(17,1),(18,1)}
        30:{1,3,5,7}:{(18,1),(21,1),(41,1),(44,1),(46,1),(71,1)}
        31:{2,3,5,7}:{(18,1),(42,1),(45,1),(46,1),(72,1),(74,1),(103,1)}
        32:{3,5,6}:{(19,1),(20,1),(37,1),(47,1)}
        33:{1,4,6}:{(20,1),(21,1),(44,1),(47,1)}
        34:{1,4,6,7}:{(22,1),(26,1),(48,1),(49,1),(83,1),(106,1)}
        35:{1,2,4,5,7}:{(23,1),(24,1),(28,1),(48,1),(50,1),(53,1),(81,1),(83,1),(84,1),(85,1)}
        36:{3,6,7}:{(23,1),(29,1),(50,1),(113,1),(128,1)}
        37:{3,5,7}:{(24,1),(25,1),(32,1),(53,1),(138,1)}
        38:{1,4,6,7}:{(25,1),(33,1),(51,1),(53,1),(83,1),(137,1)}
        39:{1,4,5}:{(26,1),(54,1)}
        40:{3,4,6}:{(26,1),(27,1),(29,1),(54,1),(56,1)}
        41:{1,3,4,7}:{(27,1),(30,1),(55,1),(57,1),(83,1),(113,1)}
        42:{2,4,7}:{(27,1),(31,1),(56,1),(116,1)}
        43:{3,5,6}:{(28,1),(29,1),(50,1),(54,1),(58,1),(115,1),(128,1),(138,1)}
        44:{1,3,6}:{(29,1),(30,1),(33,1),(61,1)}
        45:{2,3,6}:{(29,1),(31,1),(56,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(57,1),(61,1),(88,1)}
        47:{1,5,6}:{(32,1),(33,1),(53,1)}
        48:{1,4,5,7}:{(34,1),(39,1),(62,1),(63,1)}
        49:{3,4,6,7}:{(34,1),(36,1),(40,1),(63,1),(65,1),(66,1),(92,1)}
        50:{3,5,7}:{(35,1),(36,1),(43,1),(66,1)}
        51:{1,3,6,7}:{(36,1),(38,1),(44,1),(67,1),(69,1),(133,1)}
        52:{2,3,6,7}:{(36,1),(45,1),(65,1),(68,1),(69,1),(118,1)}
        53:{1,5,7}:{(37,1),(38,1),(47,1),(139,1)}
        54:{3,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,6}:{(40,1),(41,1),(44,1),(71,1),(73,1),(75,1),(105,1),(126,1)}
        56:{2,4,6}:{(40,1),(42,1),(45,1),(72,1)}
        57:{1,2,4,7}:{(41,1),(42,1),(46,1),(73,1),(74,1)}
        58:{3,4,6}:{(43,1),(66,1),(70,1),(75,1),(76,1),(105,1),(126,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(47,1),(67,1),(71,1),(75,1),(77,1),(105,1),(125,1),(133,1),(139,1)}
        60:{2,3,5,6}:{(43,1),(45,1),(68,1),(72,1),(76,1),(77,1),(94,1),(101,1),(103,1),(105,1),(118,1)}
        61:{1,2,6}:{(44,1),(45,1),(46,1)}
        62:{1,4,5,6}:{(48,1),(78,1),(106,1)}
        63:{3,5,7}:{(48,1),(49,1),(54,1),(78,1),(81,1)}
        64:{1,3,4,6,7}:{(49,1),(51,1),(55,1),(80,1),(82,1),(83,1),(106,1),(113,1),(128,1),(131,1),(137,1)}
        65:{2,4,6,7}:{(49,1),(52,1),(56,1),(81,1),(84,1),(107,1)}
        66:{3,4,7}:{(50,1),(58,1),(83,1),(84,1),(113,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(59,1),(83,1),(85,1),(113,1)}
        68:{2,3,5,7}:{(50,1),(52,1),(60,1),(81,1),(84,1),(85,1),(113,1)}
        69:{1,2,6,7}:{(51,1),(52,1),(61,1),(85,1),(127,1)}
        70:{3,4,5}:{(54,1),(58,1),(86,1),(87,1),(115,1),(138,1)}
        71:{1,3,5}:{(54,1),(55,1),(86,1),(88,1),(115,1)}
        72:{2,5}:{(54,1),(56,1)}
        73:{1,2,4,6}:{(55,1),(56,1),(57,1),(61,1),(88,1),(89,1),(116,1)}
        74:{2,3,7}:{(57,1),(89,1),(113,1)}
        75:{1,4,6}:{(58,1),(59,1),(83,1),(86,1),(132,1)}
        76:{2,4,6}:{(58,1),(60,1),(84,1),(87,1),(116,1)}
        77:{1,2,5,6}:{(59,1),(60,1),(61,1),(85,1),(88,1),(91,1),(114,1),(127,1)}
        78:{3,5,6}:{(62,1),(63,1),(92,1),(94,1)}
        79:{3,4,5,7}:{(63,1),(66,1),(70,1),(92,1),(95,1),(96,1),(122,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(71,1),(93,1),(95,1),(97,1),(122,1),(139,1)}
        81:{2,5,7}:{(63,1),(65,1),(72,1),(94,1)}
        82:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(73,1),(97,1),(98,1),(100,1),(119,1),(123,1)}
        83:{1,4,7}:{(66,1),(67,1),(75,1)}
        84:{2,4,7}:{(66,1),(68,1),(76,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(77,1),(100,1)}
        86:{1,4,5}:{(70,1),(71,1),(75,1),(139,1)}
        87:{2,4,5}:{(70,1),(72,1),(76,1),(101,1)}
        88:{1,2,5}:{(71,1),(72,1),(73,1),(103,1)}
        89:{2,3,6}:{(73,1),(74,1),(103,1),(105,1)}
        90:{2,3,4,6}:{(76,1),(99,1),(101,1),(104,1),(105,1),(118,1),(126,1),(134,1)}
        91:{1,2,4,6}:{(75,1),(76,1),(77,1),(100,1),(102,1),(105,1)}
        92:{3,4,6}:{(78,1),(79,1),(106,1),(107,1),(128,1)}
        93:{1,3,5,6}:{(78,1),(80,1),(106,1),(108,1),(128,1)}
        94:{2,5,6}:{(78,1),(81,1),(107,1)}
        95:{1,4,5,7}:{(79,1),(80,1),(83,1),(86,1),(106,1)}
        96:{2,4,5,7}:{(79,1),(81,1),(84,1),(87,1),(107,1),(109,1)}
        97:{1,2,5,7}:{(80,1),(81,1),(82,1),(88,1),(108,1),(111,1)}
        98:{2,3,6,7}:{(82,1),(89,1),(111,1),(113,1),(128,1)}
        99:{2,3,4,7}:{(84,1),(90,1),(109,1),(112,1),(113,1),(131,1)}
       100:{1,2,4,7}:{(83,1),(84,1),(85,1),(91,1),(113,1)}
       101:{2,3,5}:{(87,1),(90,1),(114,1),(115,1),(138,1)}
       102:{1,2,4,5}:{(86,1),(87,1),(88,1),(91,1),(114,1),(115,1),(116,1),(132,1)}
       103:{2,3,5}:{(88,1),(89,1),(115,1),(116,1)}
       104:{1,2,4,6}:{(90,1),(112,1),(114,1),(117,1),(127,1),(132,1),(137,1)}
       105:{3,6}:{(91,1),(113,1),(115,1)}
       106:{1,4,6}:{(92,1),(93,1),(95,1)}
       107:{2,4,6}:{(92,1),(94,1),(96,1),(118,1)}
       108:{1,2,5,6}:{(93,1),(94,1),(97,1),(119,1),(120,1),(139,1)}
       109:{2,3,5,7}:{(96,1),(99,1),(101,1),(118,1),(121,1),(122,1)}
       110:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(100,1),(102,1),(119,1),(121,1),(122,1),(123,1),(135,1),(136,1),(139,1)}
       111:{2,3,5,7}:{(97,1),(98,1),(103,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,7}:{(99,1),(104,1),(121,1),(124,1),(136,1)}
       113:{3,7}:{(100,1),(105,1)}
       114:{1,2,5}:{(101,1),(104,1),(125,1),(139,1)}
       115:{3,5}:{(102,1),(105,1),(126,1)}
       116:{2,4}:{(103,1),(126,1)}
       117:{1,3,6}:{(104,1),(105,1),(124,1),(125,1)}
       118:{2,3,6}:{(107,1),(109,1),(127,1),(128,1)}
       119:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(127,1),(128,1),(129,1),(137,1)}
       120:{2,3,5,6}:{(108,1),(111,1),(128,1),(129,1),(138,1)}
       121:{1,2,5,7}:{(109,1),(112,1),(114,1),(127,1),(130,1)}
       122:{3,5,7}:{(110,1),(113,1),(115,1),(128,1),(131,1),(138,1)}
       123:{2,4,7}:{(111,1),(116,1),(129,1),(131,1)}
       124:{1,3,7}:{(112,1),(113,1),(117,1)}
       125:{1,3,5}:{(114,1),(115,1),(117,1),(132,1)}
       126:{3,4}:{(115,1),(116,1),(132,1)}
       127:{1,2,6}:{(118,1),(121,1),(133,1)}
       128:{3,6}:{(119,1),(122,1)}
       129:{2,4,6}:{(120,1),(123,1),(134,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(124,1),(125,1),(133,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(126,1),(134,1),(136,1)}
       132:{1,4}:{(125,1),(126,1)}
       133:{1,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{3,4,6}:{(128,1),(129,1),(131,1),(137,1),(138,1)}
       135:{2,4,5}:{(129,1),(138,1)}
       136:{1,4,7}:{(130,1),(131,1),(132,1),(137,1)}
       137:{1,4,6}:{(133,1),(134,1),(136,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

1143 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(75,1),(76,1),(78,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(14,1),(39,1),(40,1),(41,1),(44,1),(46,1),(78,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(24,1),(82,1),(83,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(57,1),(58,1),(62,1),(64,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(49,1),(50,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(15,1),(33,1),(41,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(12,1),(94,1),(95,1)}
         7:{1,2,4,5}:{(4,1),(14,1),(35,1),(36,1),(44,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(15,1),(67,1),(68,1)}
         9:{3,4,6}:{(4,1),(14,1),(15,1),(41,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,4,5,6}:{(7,1),(22,1),(23,1),(24,1),(49,1),(50,1),(51,1),(59,1),(86,1),(87,1)}
        12:{1,2,5,6}:{(6,1),(18,1),(24,1),(86,1),(87,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(24,1),(25,1),(53,1),(54,1),(62,1)}
        14:{3,5}:{(7,1),(9,1)}
        15:{3,4,7}:{(8,1),(9,1),(25,1)}
        16:{1,3,4,6}:{(9,1),(26,1),(28,1),(30,1),(49,1),(60,1),(85,1),(90,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(29,1),(30,1),(50,1),(61,1),(85,1),(90,1),(105,1)}
        18:{3,5,6}:{(10,1),(12,1),(33,1),(41,1)}
        19:{4,5,7}:{(10,1),(33,1)}
        20:{3,4,5}:{(14,1),(32,1),(35,1),(36,1),(74,1)}
        21:{1,2,5,6,7}:{(12,1),(31,1),(37,1),(94,1),(95,1)}
        22:{1,2,4,5,7}:{(11,1),(37,1),(38,1),(65,1),(67,1),(68,1),(77,1),(94,1),(95,1)}
        23:{3,5,6}:{(11,1),(14,1),(32,1),(38,1),(41,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(33,1),(41,1),(71,1),(72,1),(78,1)}
        25:{3,5,7}:{(13,1),(14,1),(15,1),(41,1)}
        26:{1,3,5}:{(14,1),(16,1),(35,1),(44,1),(74,1),(109,1)}
        27:{2,3,5}:{(14,1),(17,1),(36,1),(44,1),(74,1),(109,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(42,1),(45,1),(67,1),(97,1),(100,1)}
        29:{2,3,4,7}:{(15,1),(17,1),(43,1),(45,1),(68,1),(97,1),(100,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(44,1),(45,1),(46,1),(78,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(47,1),(56,1),(81,1)}
        32:{3,4,6}:{(20,1),(23,1),(48,1),(49,1),(50,1),(85,1)}
        33:{4,6}:{(18,1),(19,1)}
        34:{3,4,5,7}:{(19,1),(20,1),(25,1),(48,1),(52,1),(53,1),(54,1),(81,1),(89,1),(110,1),(111,1)}
        35:{1,4,5}:{(20,1),(26,1),(49,1),(111,1)}
        36:{2,4,5}:{(20,1),(27,1),(50,1),(111,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(24,1),(47,1),(56,1),(82,1),(83,1),(91,1)}
        38:{3,5,7}:{(22,1),(23,1),(48,1),(56,1)}
        39:{1,3,5,6}:{(23,1),(26,1),(49,1),(57,1),(59,1),(60,1),(85,1),(86,1),(104,1)}
        40:{2,3,5,6}:{(23,1),(27,1),(50,1),(58,1),(59,1),(61,1),(85,1),(87,1),(104,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(28,1),(53,1),(60,1),(62,1),(89,1)}
        43:{2,3,5,7}:{(25,1),(27,1),(29,1),(54,1),(61,1),(62,1),(89,1)}
        44:{1,2,5}:{(26,1),(27,1),(30,1)}
        45:{1,2,4,7}:{(28,1),(29,1),(30,1),(62,1),(64,1)}
        46:{1,2,3,6}:{(30,1),(63,1),(64,1),(85,1)}
        47:{4,6,7}:{(31,1),(33,1),(65,1)}
        48:{3,4,7}:{(32,1),(38,1),(67,1),(68,1),(97,1)}
        49:{1,4,6}:{(32,1),(35,1),(39,1),(67,1),(108,1)}
        50:{2,4,6}:{(32,1),(36,1),(40,1),(68,1),(108,1)}
        51:{4,5,6}:{(33,1),(65,1),(70,1),(108,1)}
        52:{3,4,6}:{(33,1),(34,1),(41,1),(70,1),(71,1),(72,1),(99,1),(108,1)}
        53:{1,4,5,7}:{(34,1),(35,1),(42,1),(67,1),(71,1),(94,1)}
        54:{2,4,5,7}:{(34,1),(36,1),(43,1),(68,1),(72,1),(95,1)}
        55:{1,2,4,5}:{(35,1),(36,1),(44,1),(69,1),(74,1),(80,1)}
        56:{3,6,7}:{(37,1),(38,1),(41,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(67,1),(75,1),(77,1),(94,1),(97,1),(107,1)}
        58:{2,3,5,7}:{(38,1),(40,1),(68,1),(76,1),(77,1),(95,1),(97,1),(107,1)}
        59:{1,2,5,6}:{(39,1),(40,1),(44,1),(69,1),(77,1),(78,1)}
        60:{1,3,6}:{(41,1),(42,1),(71,1),(78,1),(99,1)}
        61:{2,3,6}:{(41,1),(43,1),(72,1),(78,1),(99,1)}
        62:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(78,1)}
        63:{1,2,3,5}:{(44,1),(46,1),(74,1),(80,1)}
        64:{1,2,3,7}:{(45,1),(46,1),(97,1)}
        65:{4,5,7}:{(47,1),(51,1),(81,1),(110,1)}
        66:{3,4,6,7}:{(47,1),(48,1),(52,1),(56,1),(81,1),(82,1),(83,1),(103,1),(110,1)}
        67:{1,4,7}:{(48,1),(49,1),(57,1),(110,1)}
        68:{2,4,7}:{(48,1),(50,1),(58,1),(110,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(55,1),(59,1),(84,1),(85,1)}
        70:{3,5,6}:{(51,1),(52,1),(81,1),(86,1),(87,1)}
        71:{1,4,6}:{(52,1),(53,1),(60,1),(86,1)}
        72:{2,4,6}:{(52,1),(54,1),(61,1),(87,1)}
        73:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(62,1),(84,1),(88,1),(89,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        74:{3,5}:{(55,1),(85,1),(90,1)}
        75:{1,3,6,7}:{(56,1),(57,1),(60,1),(82,1),(91,1),(103,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(61,1),(83,1),(91,1),(103,1)}
        77:{1,2,5,7}:{(57,1),(58,1),(59,1),(84,1),(91,1)}
        78:{1,2,6}:{(60,1),(61,1),(62,1)}
        79:{1,2,3,5,7}:{(62,1),(63,1),(64,1),(89,1),(92,1),(93,1),(106,1)}
        80:{1,2,4}:{(63,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(70,1),(94,1),(95,1)}
        82:{1,4,6,7}:{(66,1),(67,1),(71,1),(75,1),(94,1)}
        83:{2,4,6,7}:{(66,1),(68,1),(72,1),(76,1),(95,1)}
        84:{1,2,4,7}:{(67,1),(68,1),(69,1),(77,1),(97,1)}
        85:{3,6}:{(69,1),(74,1),(97,1)}
        86:{1,5,6}:{(70,1),(71,1),(94,1)}
        87:{2,5,6}:{(70,1),(72,1),(95,1)}
        88:{1,2,4,6}:{(71,1),(72,1),(73,1),(78,1),(98,1),(99,1),(108,1)}
        89:{3,5,7}:{(73,1),(74,1),(97,1),(99,1),(100,1),(109,1)}
        90:{3,4}:{(74,1),(80,1)}
        91:{1,2,6,7}:{(75,1),(76,1),(77,1),(78,1)}
        92:{1,2,3,6}:{(78,1),(79,1),(99,1),(101,1)}
        93:{1,2,4,7}:{(79,1),(80,1),(100,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(86,1)}
        95:{2,5,7}:{(81,1),(83,1),(87,1)}
        96:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(88,1),(91,1),(102,1),(103,1),(110,1)}
        97:{3,7}:{(84,1),(85,1)}
        98:{1,2,5,6}:{(86,1),(87,1),(88,1),(102,1),(104,1),(106,1)}
        99:{3,6}:{(88,1),(89,1)}
       100:{3,4,7}:{(89,1),(90,1),(93,1),(105,1),(110,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(98,1),(107,1)}
       103:{3,6,7}:{(96,1),(97,1),(99,1),(107,1)}
       104:{3,5,6}:{(98,1),(99,1),(107,1),(108,1),(109,1)}
       105:{3,4,6}:{(99,1),(100,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(104,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1144 :   0:{1,3,5,6,7}:{(2,1),(3,1),(13,1),(14,1),(36,1),(42,1),(80,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(13,1),(17,1),(40,1),(43,1),(77,1)}
         2:{1,2,5,6,7}:{(0,1),(1,1),(5,1),(28,1),(31,1),(58,1),(61,1),(64,1)}
         3:{1,4,6,7}:{(0,1),(6,1),(7,1),(56,1),(62,1),(100,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(9,1),(60,1),(63,1),(97,1)}
         5:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(12,1),(13,1),(16,1),(18,1),(44,1),(76,1),(79,1),(83,1)}
         6:{1,4,5,7}:{(3,1),(10,1),(14,1),(119,1)}
         7:{3,4,6,7}:{(3,1),(13,1),(14,1),(16,1),(35,1),(41,1),(118,1)}
         8:{2,4,5,7}:{(4,1),(11,1),(17,1),(116,1)}
         9:{3,4,6,7}:{(4,1),(13,1),(17,1),(18,1),(38,1),(41,1),(115,1)}
        10:{1,4,5,6}:{(6,1),(21,1),(56,1)}
        11:{2,4,5,6}:{(8,1),(22,1),(60,1)}
        12:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(20,1),(23,1),(28,1),(31,1),(62,1),(63,1),(64,1)}
        13:{3,6,7}:{(5,1),(23,1),(96,1),(99,1),(103,1)}
        14:{3,5,7}:{(6,1),(7,1),(21,1),(28,1),(132,1)}
        15:{1,3,4,6,7}:{(7,1),(24,1),(27,1),(29,1),(56,1),(62,1),(92,1),(96,1),(103,1),(105,1),(129,1)}
        16:{2,4,6,7}:{(7,1),(25,1),(28,1),(57,1),(63,1),(131,1)}
        17:{3,5,7}:{(8,1),(9,1),(22,1),(31,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(24,1),(31,1),(59,1),(62,1),(129,1)}
        19:{2,3,4,6,7}:{(9,1),(25,1),(32,1),(33,1),(60,1),(63,1),(93,1),(99,1),(103,1),(107,1),(131,1)}
        20:{1,2,4,5,6}:{(10,1),(11,1),(12,1),(34,1),(37,1),(39,1),(72,1),(73,1),(74,1),(76,1),(79,1),(110,1),(116,1),(119,1),(136,1),(137,1)}
        21:{3,5,6}:{(10,1),(14,1),(35,1),(37,1)}
        22:{3,5,6}:{(11,1),(17,1),(38,1),(39,1)}
        23:{3,5,7}:{(12,1),(13,1),(34,1),(41,1)}
        24:{1,3,6,7}:{(13,1),(18,1),(42,1),(44,1),(78,1),(114,1)}
        25:{2,3,6,7}:{(13,1),(16,1),(43,1),(44,1),(75,1),(117,1)}
        26:{3,4,5,7}:{(14,1),(35,1),(41,1),(45,1),(46,1),(71,1),(85,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(36,1),(45,1),(47,1),(85,1),(108,1),(136,1)}
        28:{2,5,7}:{(14,1),(16,1),(37,1),(137,1)}
        29:{1,2,4,6,7}:{(15,1),(16,1),(44,1),(47,1),(48,1),(76,1),(83,1),(86,1),(111,1)}
        30:{3,4,5,7}:{(17,1),(38,1),(41,1),(49,1),(50,1),(71,1),(88,1)}
        31:{1,5,7}:{(17,1),(18,1),(39,1),(136,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(40,1),(50,1),(51,1),(88,1),(109,1),(137,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(44,1),(51,1),(52,1),(79,1),(83,1),(89,1),(112,1)}
        34:{3,5,6}:{(20,1),(23,1),(53,1),(96,1),(99,1),(126,1),(130,1),(132,1)}
        35:{3,4,6}:{(21,1),(26,1),(56,1),(57,1),(96,1)}
        36:{1,3,5,6}:{(21,1),(27,1),(56,1),(58,1),(96,1)}
        37:{2,5,6}:{(21,1),(28,1),(57,1)}
        38:{3,4,6}:{(22,1),(30,1),(59,1),(60,1),(99,1)}
        39:{1,5,6}:{(22,1),(31,1),(59,1)}
        40:{2,3,5,6}:{(22,1),(32,1),(60,1),(61,1),(99,1)}
        41:{3,4,7}:{(23,1),(53,1),(62,1),(63,1),(103,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(31,1),(54,1),(62,1),(64,1),(103,1)}
        43:{2,3,5,7}:{(23,1),(25,1),(28,1),(55,1),(63,1),(64,1),(103,1)}
        44:{1,2,6,7}:{(24,1),(25,1),(64,1),(95,1),(98,1)}
        45:{1,4,5,7}:{(26,1),(27,1),(56,1),(62,1),(90,1)}
        46:{2,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(65,1),(91,1)}
        47:{1,2,5,7}:{(27,1),(28,1),(29,1),(58,1),(67,1),(124,1)}
        48:{2,3,6,7}:{(29,1),(67,1),(96,1),(103,1),(127,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(59,1),(62,1),(68,1),(90,1)}
        50:{2,4,5,7}:{(30,1),(32,1),(60,1),(63,1),(91,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(61,1),(70,1),(125,1)}
        52:{1,3,6,7}:{(33,1),(70,1),(99,1),(103,1),(128,1)}
        53:{3,4,6}:{(34,1),(41,1),(71,1),(72,1),(73,1),(113,1),(135,1)}
        54:{1,3,5,6}:{(34,1),(39,1),(42,1),(72,1),(74,1),(78,1),(108,1),(113,1),(114,1),(134,1),(136,1)}
        55:{2,3,5,6}:{(34,1),(37,1),(43,1),(73,1),(74,1),(75,1),(109,1),(113,1),(117,1),(133,1),(137,1)}
        56:{1,4,6}:{(35,1),(36,1),(45,1)}
        57:{2,4,6}:{(35,1),(37,1),(46,1),(75,1)}
        58:{1,2,5,6}:{(36,1),(37,1),(47,1),(76,1),(77,1),(136,1)}
        59:{1,4,6}:{(38,1),(39,1),(49,1),(78,1)}
        60:{2,4,6}:{(38,1),(40,1),(50,1)}
        61:{1,2,5,6}:{(39,1),(40,1),(51,1),(79,1),(80,1),(137,1)}
        62:{1,4,7}:{(41,1),(42,1),(72,1)}
        63:{2,4,7}:{(41,1),(43,1),(73,1)}
        64:{1,2,5,7}:{(42,1),(43,1),(44,1),(74,1),(83,1)}
        65:{2,3,5,7}:{(46,1),(75,1),(82,1),(84,1),(85,1),(109,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(76,1),(83,1),(84,1),(85,1),(86,1),(110,1),(116,1),(122,1),(136,1)}
        67:{2,3,5,7}:{(47,1),(48,1),(77,1),(85,1),(86,1),(133,1)}
        68:{1,3,5,7}:{(49,1),(78,1),(81,1),(87,1),(88,1),(108,1)}
        69:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(79,1),(83,1),(87,1),(88,1),(89,1),(110,1),(119,1),(123,1),(137,1)}
        70:{1,3,5,7}:{(51,1),(52,1),(80,1),(88,1),(89,1),(134,1)}
        71:{3,4,5}:{(53,1),(90,1),(91,1),(126,1),(130,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(62,1),(90,1),(139,1)}
        73:{2,4,6}:{(53,1),(55,1),(63,1),(91,1),(138,1)}
        74:{1,2,5,6}:{(54,1),(55,1),(64,1),(94,1),(95,1),(98,1),(124,1),(125,1)}
        75:{2,3,6}:{(57,1),(65,1),(95,1),(96,1)}
        76:{1,2,4,6}:{(56,1),(57,1),(58,1),(66,1),(95,1),(96,1),(97,1),(129,1)}
        77:{2,3,5,6}:{(58,1),(67,1),(96,1),(97,1),(130,1)}
        78:{1,3,6}:{(59,1),(68,1),(98,1),(99,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(69,1),(98,1),(99,1),(100,1),(131,1)}
        80:{1,3,5,6}:{(61,1),(70,1),(99,1),(100,1),(132,1)}
        81:{1,3,4,7}:{(62,1),(68,1),(92,1),(101,1),(103,1),(107,1)}
        82:{2,3,4,7}:{(63,1),(65,1),(93,1),(102,1),(103,1),(105,1)}
        83:{1,2,4,7}:{(62,1),(63,1),(64,1),(94,1),(103,1)}
        84:{1,2,5,7}:{(65,1),(95,1),(102,1),(104,1),(125,1)}
        85:{3,5,7}:{(66,1),(96,1),(103,1),(105,1),(126,1),(130,1)}
        86:{2,4,7}:{(67,1),(97,1),(105,1),(138,1)}
        87:{1,2,5,7}:{(68,1),(98,1),(101,1),(106,1),(124,1)}
        88:{3,5,7}:{(69,1),(99,1),(103,1),(107,1),(126,1),(132,1)}
        89:{1,4,7}:{(70,1),(100,1),(107,1),(139,1)}
        90:{1,4,5}:{(71,1),(72,1),(108,1),(136,1)}
        91:{2,4,5}:{(71,1),(73,1),(109,1),(137,1)}
        92:{1,3,4,6}:{(72,1),(78,1),(81,1),(108,1),(111,1),(113,1),(118,1),(135,1)}
        93:{2,3,4,6}:{(73,1),(75,1),(82,1),(109,1),(112,1),(113,1),(115,1),(135,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(83,1),(110,1),(113,1)}
        95:{1,2,6}:{(75,1),(84,1),(114,1)}
        96:{3,6}:{(76,1),(85,1)}
        97:{2,4,6}:{(77,1),(86,1),(115,1),(116,1)}
        98:{1,2,6}:{(78,1),(87,1),(117,1)}
        99:{3,6}:{(79,1),(88,1)}
       100:{1,4,6}:{(80,1),(89,1),(118,1),(119,1)}
       101:{1,2,4,7}:{(81,1),(87,1),(111,1),(120,1),(123,1)}
       102:{1,2,4,7}:{(82,1),(84,1),(112,1),(121,1),(122,1)}
       103:{3,7}:{(83,1),(113,1)}
       104:{1,3,5,7}:{(84,1),(85,1),(114,1),(121,1),(122,1),(134,1),(136,1)}
       105:{3,4,7}:{(85,1),(86,1),(115,1),(122,1),(135,1)}
       106:{2,3,5,7}:{(87,1),(88,1),(117,1),(120,1),(123,1),(133,1),(137,1)}
       107:{3,4,7}:{(88,1),(89,1),(118,1),(123,1),(135,1)}
       108:{1,3,5}:{(90,1),(92,1),(124,1),(126,1),(132,1)}
       109:{2,3,5}:{(91,1),(93,1),(125,1),(126,1),(130,1)}
       110:{1,2,4,5}:{(90,1),(91,1),(94,1),(124,1),(125,1),(126,1),(138,1),(139,1)}
       111:{1,2,4,6}:{(92,1),(98,1),(101,1),(124,1),(127,1),(131,1),(138,1)}
       112:{1,2,4,6}:{(93,1),(95,1),(102,1),(125,1),(128,1),(129,1),(139,1)}
       113:{3,6}:{(94,1),(103,1),(126,1)}
       114:{1,3,6}:{(95,1),(96,1),(104,1),(129,1)}
       115:{3,4,6}:{(96,1),(97,1),(105,1),(129,1),(130,1)}
       116:{2,4,5}:{(97,1),(130,1)}
       117:{2,3,6}:{(98,1),(99,1),(106,1),(131,1)}
       118:{3,4,6}:{(99,1),(100,1),(107,1),(131,1),(132,1)}
       119:{1,4,5}:{(100,1),(132,1)}
       120:{2,3,7}:{(101,1),(103,1),(127,1)}
       121:{1,3,7}:{(102,1),(103,1),(128,1)}
       122:{1,4,7}:{(104,1),(105,1),(129,1),(139,1)}
       123:{2,4,7}:{(106,1),(107,1),(131,1),(138,1)}
       124:{1,2,5}:{(108,1),(111,1),(133,1),(137,1)}
       125:{1,2,5}:{(109,1),(112,1),(134,1),(136,1)}
       126:{3,5}:{(110,1),(113,1),(135,1)}
       127:{2,3,6}:{(111,1),(113,1),(120,1),(133,1)}
       128:{1,3,6}:{(112,1),(113,1),(121,1),(134,1)}
       129:{1,4,6}:{(114,1),(115,1),(122,1),(136,1)}
       130:{3,5}:{(115,1),(116,1),(136,1)}
       131:{2,4,6}:{(117,1),(118,1),(123,1),(137,1)}
       132:{3,5}:{(118,1),(119,1),(137,1)}
       133:{2,3,5}:{(124,1),(126,1),(127,1),(138,1)}
       134:{1,3,5}:{(125,1),(126,1),(128,1),(139,1)}
       135:{3,4}:{(126,1),(138,1),(139,1)}
       136:{1,5}:{(129,1),(130,1)}
       137:{2,5}:{(131,1),(132,1)}
       138:{2,4}:{(133,1),(135,1)}
       139:{1,4}:{(134,1),(135,1)}

1145 :   0:{1,2,3,5,6}:{(1,1),(2,1),(7,1),(10,1),(35,1),(37,1),(39,1),(42,1),(45,1),(78,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(50,1),(52,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(18,1),(24,1),(28,1),(57,1),(58,1),(60,1)}
         3:{3,4,6}:{(1,1),(10,1),(11,1),(42,1)}
         4:{1,2,4,5}:{(1,1),(10,1),(31,1),(32,1),(35,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(71,1),(73,1)}
         6:{1,2,3,6,7}:{(2,1),(14,1),(42,1),(78,1),(79,1),(80,1)}
         7:{1,2,3,6}:{(15,1),(17,1),(18,1),(83,1)}
         8:{2,3,4,6}:{(3,1),(17,1),(19,1),(20,1),(46,1),(50,1),(59,1),(83,1),(85,1)}
         9:{1,3,4,6}:{(3,1),(17,1),(21,1),(22,1),(46,1),(52,1),(61,1),(83,1),(85,1)}
        10:{3,5}:{(3,1),(4,1)}
        11:{3,4,7}:{(3,1),(5,1),(24,1)}
        12:{1,2,4,5,6}:{(4,1),(23,1),(26,1),(27,1),(50,1),(52,1),(56,1),(90,1),(92,1),(94,1)}
        13:{1,2,4,5,7}:{(4,1),(5,1),(24,1),(27,1),(28,1),(51,1),(53,1),(57,1),(64,1)}
        14:{1,2,4,6,7}:{(5,1),(6,1),(25,1),(27,1),(28,1),(89,1),(91,1)}
        15:{1,2,3,5}:{(7,1),(29,1),(35,1),(66,1)}
        16:{3,4,5}:{(10,1),(31,1),(32,1),(33,1),(66,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(9,1),(29,1),(35,1),(36,1),(78,1)}
        18:{1,2,3,7}:{(7,1),(36,1),(97,1)}
        19:{2,3,5}:{(8,1),(10,1),(31,1),(35,1),(66,1),(99,1)}
        20:{2,3,4,7}:{(8,1),(11,1),(36,1),(38,1),(67,1),(71,1),(97,1)}
        21:{1,3,5}:{(9,1),(10,1),(32,1),(35,1),(66,1),(99,1)}
        22:{1,3,4,7}:{(9,1),(11,1),(36,1),(40,1),(67,1),(73,1),(97,1)}
        23:{3,5,6}:{(10,1),(12,1),(33,1),(41,1),(42,1)}
        24:{3,5,7}:{(10,1),(11,1),(13,1),(42,1)}
        25:{3,4,6,7}:{(11,1),(14,1),(42,1),(43,1),(82,1)}
        26:{1,2,4,5,7}:{(12,1),(41,1),(44,1),(71,1),(73,1),(77,1),(102,1),(103,1),(104,1)}
        27:{1,2,4,6}:{(13,1),(42,1),(45,1),(72,1),(74,1),(78,1),(82,1)}
        28:{1,2,5,7}:{(14,1),(43,1),(45,1),(102,1),(103,1)}
        29:{1,2,4}:{(15,1),(46,1)}
        30:{1,2,3,5,7}:{(15,1),(18,1),(48,1),(49,1),(57,1),(84,1),(88,1)}
        31:{2,4,5}:{(16,1),(19,1),(50,1),(107,1)}
        32:{1,4,5}:{(16,1),(21,1),(52,1),(107,1)}
        33:{3,4,6}:{(16,1),(23,1),(50,1),(52,1),(54,1),(83,1)}
        34:{3,4,5,7}:{(16,1),(24,1),(51,1),(53,1),(54,1),(55,1),(64,1),(84,1),(93,1),(107,1),(111,1)}
        35:{1,2,5}:{(17,1),(19,1),(21,1)}
        36:{1,2,4,7}:{(17,1),(18,1),(20,1),(22,1),(57,1)}
        37:{2,3,5,6}:{(19,1),(23,1),(50,1),(56,1),(58,1),(59,1),(83,1),(90,1),(106,1)}
        38:{2,3,5,7}:{(19,1),(20,1),(24,1),(51,1),(57,1),(59,1),(84,1)}
        39:{1,3,5,6}:{(21,1),(23,1),(52,1),(56,1),(60,1),(61,1),(83,1),(92,1),(106,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(24,1),(53,1),(57,1),(61,1),(84,1)}
        41:{3,5,7}:{(23,1),(26,1),(54,1),(62,1)}
        42:{3,6}:{(24,1),(27,1)}
        43:{3,5,7}:{(25,1),(28,1),(63,1),(64,1)}
        44:{1,2,4,6,7}:{(26,1),(27,1),(62,1),(65,1),(89,1),(91,1),(95,1),(96,1)}
        45:{1,2,5,6}:{(27,1),(28,1),(63,1),(90,1),(92,1)}
        46:{3,4}:{(29,1),(66,1)}
        47:{1,2,4,5}:{(29,1),(31,1),(32,1),(35,1),(66,1),(68,1)}
        48:{1,2,4,7}:{(29,1),(30,1),(67,1),(70,1)}
        49:{1,2,3,6}:{(30,1),(70,1),(78,1),(98,1)}
        50:{2,4,6}:{(31,1),(33,1),(37,1),(71,1),(110,1)}
        51:{2,4,5,7}:{(31,1),(34,1),(38,1),(71,1),(72,1),(102,1)}
        52:{1,4,6}:{(32,1),(33,1),(39,1),(73,1),(110,1)}
        53:{1,4,5,7}:{(32,1),(34,1),(40,1),(73,1),(74,1),(103,1)}
        54:{3,4,7}:{(33,1),(41,1),(71,1),(73,1),(97,1)}
        55:{3,4,6}:{(34,1),(42,1),(72,1),(74,1),(76,1),(82,1),(98,1),(110,1)}
        56:{1,2,5,6}:{(35,1),(37,1),(39,1),(68,1),(77,1),(78,1)}
        57:{1,2,5,7}:{(35,1),(36,1),(38,1),(40,1),(78,1)}
        58:{2,3,5,7}:{(37,1),(41,1),(71,1),(77,1),(79,1),(97,1),(102,1),(109,1)}
        59:{2,3,6}:{(38,1),(42,1),(72,1),(78,1),(98,1)}
        60:{1,3,5,7}:{(39,1),(41,1),(73,1),(77,1),(80,1),(97,1),(103,1),(109,1)}
        61:{1,3,6}:{(40,1),(42,1),(74,1),(78,1),(98,1)}
        62:{3,6,7}:{(41,1),(42,1),(44,1)}
        63:{3,5,6}:{(42,1),(43,1),(45,1),(82,1)}
        64:{4,5,7}:{(43,1),(82,1)}
        65:{1,2,5,6,7}:{(44,1),(45,1),(81,1),(102,1),(103,1)}
        66:{3,5}:{(46,1),(47,1),(83,1)}
        67:{3,4,7}:{(46,1),(48,1),(84,1),(85,1),(111,1)}
        68:{1,2,4,6}:{(47,1),(50,1),(52,1),(56,1),(83,1),(86,1)}
        69:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(53,1),(57,1),(84,1),(86,1),(87,1),(88,1),(107,1),(108,1),(111,1)}
        70:{1,2,4,6}:{(48,1),(49,1),(85,1),(88,1)}
        71:{2,4,7}:{(50,1),(54,1),(58,1),(111,1)}
        72:{2,4,6}:{(51,1),(55,1),(59,1),(90,1)}
        73:{1,4,7}:{(52,1),(54,1),(60,1),(111,1)}
        74:{1,4,6}:{(53,1),(55,1),(61,1),(92,1)}
        75:{3,4,6,7}:{(54,1),(55,1),(62,1),(89,1),(91,1),(93,1),(96,1),(105,1),(111,1)}
        76:{3,5,6}:{(55,1),(90,1),(92,1),(93,1),(94,1)}
        77:{1,2,5,7}:{(56,1),(58,1),(60,1),(86,1),(95,1)}
        78:{1,2,6}:{(57,1),(59,1),(61,1)}
        79:{2,3,6,7}:{(58,1),(59,1),(62,1),(89,1),(95,1),(105,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(62,1),(91,1),(95,1),(105,1)}
        81:{3,5,6,7}:{(62,1),(63,1),(65,1),(93,1),(96,1)}
        82:{4,6}:{(63,1),(64,1)}
        83:{3,6}:{(66,1),(68,1),(97,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(97,1),(98,1),(99,1)}
        85:{3,4,6}:{(67,1),(70,1),(98,1),(99,1),(110,1)}
        86:{1,2,4,7}:{(68,1),(71,1),(73,1),(77,1),(97,1)}
        87:{1,2,4,6}:{(69,1),(72,1),(74,1),(78,1),(98,1),(101,1),(110,1)}
        88:{1,2,5}:{(70,1),(99,1)}
        89:{2,4,6,7}:{(71,1),(72,1),(75,1),(79,1),(102,1)}
        90:{2,5,6}:{(72,1),(76,1),(102,1)}
        91:{1,4,6,7}:{(73,1),(74,1),(75,1),(80,1),(103,1)}
        92:{1,5,6}:{(74,1),(76,1),(103,1)}
        93:{3,5,7}:{(75,1),(76,1),(102,1),(103,1),(104,1)}
        94:{4,5,6}:{(76,1),(82,1),(104,1),(110,1)}
        95:{1,2,6,7}:{(77,1),(78,1),(79,1),(80,1)}
        96:{4,6,7}:{(81,1),(82,1),(104,1)}
        97:{3,7}:{(83,1),(86,1)}
        98:{3,6}:{(84,1),(87,1)}
        99:{3,5}:{(85,1),(88,1),(107,1)}
       100:{1,2,4,6,7}:{(86,1),(87,1),(89,1),(91,1),(95,1),(105,1),(108,1),(111,1)}
       101:{1,2,5,6}:{(87,1),(88,1),(90,1),(92,1),(106,1),(108,1)}
       102:{2,5,7}:{(89,1),(90,1),(93,1)}
       103:{1,5,7}:{(91,1),(92,1),(93,1)}
       104:{4,5,7}:{(93,1),(94,1),(96,1),(111,1)}
       105:{3,6,7}:{(97,1),(98,1),(100,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(101,1),(109,1),(110,1)}
       107:{4,5}:{(99,1),(110,1)}
       108:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(109,1)}
       109:{3,5,7}:{(105,1),(106,1),(108,1),(111,1)}
       110:{4,6}:{(106,1),(107,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1146 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(20,1),(51,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(32,1),(66,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(46,1),(81,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(18,1),(23,1),(45,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(19,1),(23,1),(44,1),(83,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(61,1),(101,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(60,1),(100,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(30,1),(31,1),(103,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(41,1),(81,1),(150,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(21,1),(23,1),(37,1),(46,1)}
        13:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(23,1),(38,1),(46,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(23,1),(122,1)}
        15:{1,2,3,5,6,7}:{(8,1),(23,1),(24,1),(44,1),(45,1),(47,1),(50,1),(70,1),(82,1),(83,1),(84,1),(125,1),(157,1),(169,1),(171,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(25,1),(101,1),(158,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(26,1),(100,1),(161,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(25,1),(30,1),(32,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(26,1),(31,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(32,1),(60,1),(61,1)}
        21:{1,2,4,6,7}:{(12,1),(30,1),(33,1),(52,1),(60,1)}
        22:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(53,1),(61,1)}
        23:{3,6,7}:{(14,1),(32,1),(142,1)}
        24:{1,2,4,6,7}:{(15,1),(35,1),(36,1),(60,1),(61,1),(90,1),(100,1),(101,1),(173,1),(174,1)}
        25:{1,3,5,6}:{(16,1),(18,1),(37,1),(39,1),(41,1),(144,1)}
        26:{2,3,5,6}:{(17,1),(19,1),(38,1),(40,1),(41,1),(147,1)}
        27:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(39,1),(40,1),(41,1),(71,1),(72,1),(111,1),(122,1)}
        28:{1,3,4,5,7}:{(18,1),(37,1),(42,1),(46,1),(73,1),(80,1),(115,1),(121,1),(144,1)}
        29:{2,3,4,5,7}:{(19,1),(38,1),(43,1),(46,1),(73,1),(79,1),(118,1),(121,1),(147,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(39,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(40,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(41,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(68,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(69,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(50,1),(81,1),(110,1),(157,1),(172,1)}
        36:{1,2,4,5,7}:{(24,1),(50,1),(51,1),(79,1),(80,1),(82,1),(111,1)}
        37:{1,3,4,6}:{(25,1),(28,1),(52,1),(56,1),(101,1),(142,1)}
        38:{2,3,4,6}:{(26,1),(29,1),(53,1),(56,1),(100,1),(142,1)}
        39:{1,2,5,6}:{(25,1),(30,1),(52,1),(54,1),(127,1)}
        40:{1,2,5,6}:{(26,1),(31,1),(53,1),(55,1),(130,1)}
        41:{3,5,6}:{(27,1),(32,1),(56,1),(132,1),(142,1)}
        42:{1,2,4,5,7}:{(28,1),(30,1),(52,1),(57,1),(60,1),(91,1),(94,1),(127,1)}
        43:{1,2,4,5,7}:{(29,1),(31,1),(53,1),(58,1),(61,1),(92,1),(96,1),(130,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(54,1),(60,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(55,1),(61,1)}
        46:{3,4,7}:{(32,1),(56,1),(60,1),(61,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(59,1),(63,1),(86,1),(88,1),(142,1),(166,1),(167,1)}
        48:{2,3,4,6,7}:{(33,1),(35,1),(60,1),(63,1),(64,1),(87,1),(98,1),(100,1),(129,1),(142,1),(167,1),(174,1)}
        49:{1,3,4,6,7}:{(34,1),(35,1),(61,1),(63,1),(65,1),(89,1),(98,1),(101,1),(126,1),(142,1),(166,1),(173,1)}
        50:{3,5,7}:{(35,1),(36,1),(66,1),(132,1)}
        51:{1,2,4,5,6}:{(36,1),(66,1),(100,1),(101,1),(103,1)}
        52:{1,2,4,6}:{(37,1),(39,1),(42,1),(68,1),(71,1)}
        53:{1,2,4,6}:{(38,1),(40,1),(43,1),(69,1),(72,1)}
        54:{2,3,5,6}:{(39,1),(41,1),(44,1),(68,1),(71,1),(107,1)}
        55:{1,3,5,6}:{(40,1),(41,1),(45,1),(69,1),(72,1),(109,1)}
        56:{3,4,6}:{(41,1),(46,1),(71,1),(72,1),(73,1)}
        57:{2,3,5,7}:{(42,1),(68,1),(75,1),(107,1),(121,1)}
        58:{1,3,5,7}:{(43,1),(69,1),(77,1),(109,1),(121,1)}
        59:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(70,1),(78,1),(82,1),(121,1),(169,1),(171,1)}
        60:{2,4,7}:{(44,1),(46,1),(71,1)}
        61:{1,4,7}:{(45,1),(46,1),(72,1)}
        62:{3,4,5,7}:{(46,1),(50,1),(73,1),(79,1),(80,1),(81,1),(121,1),(150,1),(172,1)}
        63:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(78,1),(82,1),(106,1),(108,1),(122,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(79,1),(82,1),(83,1),(107,1),(121,1),(147,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(80,1),(82,1),(84,1),(109,1),(121,1),(144,1)}
        66:{3,5,6}:{(50,1),(51,1),(81,1)}
        67:{1,2,4,5,6,7}:{(51,1),(85,1),(123,1),(124,1),(125,1),(152,1)}
        68:{2,3,6}:{(52,1),(57,1),(142,1)}
        69:{1,3,6}:{(53,1),(58,1),(142,1)}
        70:{1,2,3,5,6}:{(54,1),(55,1),(59,1),(86,1),(88,1),(90,1),(103,1),(127,1),(130,1),(132,1),(142,1),(159,1),(162,1)}
        71:{2,4,6}:{(54,1),(56,1),(60,1),(91,1)}
        72:{1,4,6}:{(55,1),(56,1),(61,1),(92,1)}
        73:{3,4,5}:{(56,1),(91,1),(92,1),(132,1)}
        74:{1,2,3,5,7}:{(57,1),(86,1),(94,1),(127,1),(136,1)}
        75:{2,3,4,7}:{(57,1),(60,1),(87,1),(94,1),(98,1)}
        76:{1,2,3,5,7}:{(58,1),(88,1),(96,1),(130,1),(139,1)}
        77:{1,3,4,7}:{(58,1),(61,1),(89,1),(96,1),(98,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(61,1),(90,1),(98,1),(173,1),(174,1)}
        79:{2,4,5,7}:{(60,1),(62,1),(64,1),(91,1),(100,1),(161,1),(174,1)}
        80:{1,4,5,7}:{(61,1),(62,1),(65,1),(92,1),(101,1),(158,1),(173,1)}
        81:{3,4,6}:{(62,1),(66,1),(100,1),(101,1),(142,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(65,1),(103,1),(127,1),(130,1)}
        83:{2,3,5,6}:{(64,1),(66,1),(100,1),(103,1),(142,1)}
        84:{1,3,5,6}:{(65,1),(66,1),(101,1),(103,1),(142,1)}
        85:{3,5,6,7}:{(66,1),(67,1),(102,1),(165,1)}
        86:{1,2,3,6}:{(68,1),(74,1),(106,1),(153,1)}
        87:{2,3,4,6}:{(68,1),(71,1),(75,1),(106,1),(107,1),(110,1)}
        88:{1,2,3,6}:{(69,1),(76,1),(108,1),(155,1)}
        89:{1,3,4,6}:{(69,1),(72,1),(77,1),(108,1),(109,1),(110,1)}
        90:{1,2,4,6}:{(70,1),(71,1),(72,1),(78,1),(110,1),(111,1),(168,1),(170,1)}
        91:{2,4,5}:{(71,1),(73,1),(107,1)}
        92:{1,4,5}:{(72,1),(73,1),(109,1)}
        93:{3,4,5,6}:{(73,1),(81,1),(112,1),(113,1),(114,1),(151,1)}
        94:{1,2,4,7}:{(74,1),(75,1),(106,1),(115,1)}
        95:{2,3,4,5,7}:{(75,1),(79,1),(107,1),(116,1),(117,1),(121,1),(146,1),(150,1),(172,1)}
        96:{1,2,4,7}:{(76,1),(77,1),(108,1),(118,1)}
        97:{1,3,4,5,7}:{(77,1),(80,1),(109,1),(119,1),(120,1),(121,1),(149,1),(150,1),(172,1)}
        98:{3,4,7}:{(78,1),(110,1),(121,1)}
        99:{1,2,4,5,7}:{(78,1),(79,1),(80,1),(82,1),(111,1),(121,1),(122,1)}
       100:{2,4,6}:{(79,1),(81,1),(83,1)}
       101:{1,4,6}:{(80,1),(81,1),(84,1)}
       102:{3,4,6,7}:{(81,1),(85,1),(114,1),(123,1),(124,1),(157,1),(172,1)}
       103:{1,2,5,6}:{(82,1),(83,1),(84,1),(122,1)}
       104:{2,3,5,6,7}:{(83,1),(85,1),(123,1),(125,1),(146,1),(157,1),(171,1)}
       105:{1,3,5,6,7}:{(84,1),(85,1),(124,1),(125,1),(149,1),(157,1),(169,1)}
       106:{1,2,4,6}:{(86,1),(87,1),(94,1),(126,1),(127,1)}
       107:{2,3,5}:{(87,1),(91,1),(127,1),(132,1)}
       108:{1,2,4,6}:{(88,1),(89,1),(96,1),(129,1),(130,1)}
       109:{1,3,5}:{(89,1),(92,1),(130,1),(132,1)}
       110:{3,4,6}:{(90,1),(98,1),(132,1),(142,1)}
       111:{1,2,4,5}:{(90,1),(91,1),(92,1),(127,1),(130,1),(132,1),(158,1),(161,1)}
       112:{2,4,5,6}:{(91,1),(93,1),(100,1),(128,1),(134,1)}
       113:{1,4,5,6}:{(92,1),(93,1),(101,1),(131,1),(135,1)}
       114:{3,4,5,7}:{(93,1),(102,1),(134,1),(135,1),(165,1)}
       115:{1,3,4,7}:{(94,1),(98,1),(126,1),(136,1),(173,1)}
       116:{1,2,4,5,7}:{(94,1),(95,1),(127,1),(136,1),(137,1),(158,1),(160,1),(173,1)}
       117:{2,3,4,6}:{(95,1),(100,1),(128,1),(137,1),(142,1),(164,1)}
       118:{2,3,4,7}:{(96,1),(98,1),(129,1),(139,1),(174,1)}
       119:{1,2,4,5,7}:{(96,1),(97,1),(130,1),(139,1),(140,1),(161,1),(163,1),(174,1)}
       120:{1,3,4,6}:{(97,1),(101,1),(131,1),(140,1),(142,1),(164,1)}
       121:{3,5,7}:{(98,1),(99,1),(132,1),(142,1)}
       122:{1,2,4,6}:{(99,1),(100,1),(101,1),(103,1),(142,1)}
       123:{2,4,6,7}:{(100,1),(102,1),(104,1),(134,1),(174,1)}
       124:{1,4,6,7}:{(101,1),(102,1),(105,1),(135,1),(173,1)}
       125:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(143,1),(160,1),(163,1)}
       126:{1,3,4,6}:{(106,1),(110,1),(115,1),(144,1),(153,1),(168,1)}
       127:{1,2,5}:{(106,1),(107,1),(144,1)}
       128:{2,3,5,6}:{(107,1),(112,1),(117,1),(145,1),(146,1),(151,1)}
       129:{2,3,4,6}:{(108,1),(110,1),(118,1),(147,1),(155,1),(170,1)}
       130:{1,2,5}:{(108,1),(109,1),(147,1)}
       131:{1,3,5,6}:{(109,1),(113,1),(120,1),(148,1),(149,1),(151,1)}
       132:{3,5}:{(110,1),(111,1)}
       133:{1,2,4,5,6}:{(111,1),(112,1),(113,1),(122,1),(145,1),(148,1),(151,1),(152,1),(168,1),(170,1)}
       134:{2,4,5,7}:{(112,1),(114,1),(123,1),(146,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(124,1),(149,1)}
       136:{1,3,5,7}:{(115,1),(116,1),(121,1),(144,1),(153,1)}
       137:{1,2,4,6}:{(116,1),(117,1),(145,1),(153,1),(168,1)}
       138:{2,3,4,6,7}:{(117,1),(123,1),(146,1),(154,1),(157,1),(172,1)}
       139:{2,3,5,7}:{(118,1),(119,1),(121,1),(147,1),(155,1)}
       140:{1,2,4,6}:{(119,1),(120,1),(148,1),(155,1),(170,1)}
       141:{1,3,4,6,7}:{(120,1),(124,1),(149,1),(156,1),(157,1),(172,1)}
       142:{3,6}:{(121,1),(122,1)}
       143:{1,2,4,6,7}:{(122,1),(123,1),(124,1),(125,1),(152,1),(157,1)}
       144:{1,3,5}:{(126,1),(127,1),(132,1),(158,1)}
       145:{1,2,5,6}:{(127,1),(128,1),(137,1),(159,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(134,1),(138,1),(160,1),(165,1)}
       147:{2,3,5}:{(129,1),(130,1),(132,1),(161,1)}
       148:{1,2,5,6}:{(130,1),(131,1),(140,1),(162,1),(163,1)}
       149:{1,3,5,7}:{(131,1),(135,1),(141,1),(163,1),(165,1)}
       150:{3,4,5}:{(132,1),(158,1),(161,1),(164,1)}
       151:{3,5,6}:{(132,1),(133,1),(142,1),(164,1),(165,1)}
       152:{1,2,4,5,7}:{(133,1),(134,1),(135,1),(143,1),(160,1),(163,1),(165,1),(173,1),(174,1)}
       153:{1,3,6}:{(136,1),(137,1),(142,1)}
       154:{1,2,4,6,7}:{(137,1),(138,1),(160,1),(166,1),(173,1)}
       155:{2,3,6}:{(139,1),(140,1),(142,1)}
       156:{1,2,4,6,7}:{(140,1),(141,1),(163,1),(167,1),(174,1)}
       157:{3,6,7}:{(142,1),(143,1),(165,1)}
       158:{1,4,5}:{(144,1),(150,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(151,1),(153,1),(168,1),(169,1)}
       160:{1,2,5,7}:{(145,1),(146,1),(154,1),(169,1)}
       161:{2,4,5}:{(147,1),(150,1),(170,1)}
       162:{2,3,5,6}:{(147,1),(148,1),(151,1),(155,1),(170,1),(171,1)}
       163:{1,2,5,7}:{(148,1),(149,1),(156,1),(171,1)}
       164:{3,4,6}:{(150,1),(151,1),(168,1),(170,1),(172,1)}
       165:{3,5,7}:{(151,1),(152,1),(157,1),(172,1)}
       166:{1,3,6,7}:{(153,1),(154,1),(157,1),(169,1)}
       167:{2,3,6,7}:{(155,1),(156,1),(157,1),(171,1)}
       168:{1,4,6}:{(158,1),(159,1),(164,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(165,1),(166,1),(173,1)}
       170:{2,4,6}:{(161,1),(162,1),(164,1),(174,1)}
       171:{2,3,5,7}:{(162,1),(163,1),(165,1),(167,1),(174,1)}
       172:{3,4,7}:{(164,1),(165,1),(173,1),(174,1)}
       173:{1,4,7}:{(168,1),(169,1),(172,1)}
       174:{2,4,7}:{(170,1),(171,1),(172,1)}

1147 :   0:{1,2,3,6,7}:{(2,1),(3,1),(40,1),(77,1),(78,1),(79,1),(80,1),(104,1)}
         1:{1,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(37,1),(40,1),(46,1),(78,1),(95,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(7,1),(8,1),(24,1),(57,1),(65,1),(84,1),(93,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(25,1),(61,1),(62,1),(89,1),(90,1),(92,1)}
         4:{1,3,5,7}:{(1,1),(7,1),(9,1),(10,1),(25,1),(55,1),(63,1)}
         5:{2,3,4,6,7}:{(2,1),(11,1),(15,1),(33,1),(38,1),(40,1),(68,1),(79,1),(96,1),(104,1)}
         6:{1,2,3,5,6}:{(3,1),(12,1),(13,1),(36,1),(40,1),(74,1),(75,1),(76,1),(77,1),(80,1)}
         7:{1,2,5,7}:{(2,1),(4,1),(11,1),(13,1),(76,1),(81,1),(94,1)}
         8:{1,2,4,7}:{(3,1),(12,1),(15,1),(95,1),(96,1),(100,1)}
         9:{1,3,5,6}:{(4,1),(13,1),(17,1),(40,1),(45,1)}
        10:{1,4,5,7}:{(4,1),(17,1),(18,1),(71,1),(95,1)}
        11:{2,3,5,7}:{(5,1),(7,1),(19,1),(20,1),(25,1),(56,1),(82,1)}
        12:{1,2,4,6}:{(6,1),(8,1),(21,1),(22,1),(86,1),(87,1)}
        13:{1,2,5,6}:{(7,1),(9,1),(19,1),(24,1),(64,1),(83,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(10,1),(20,1),(21,1),(24,1),(25,1),(31,1),(51,1),(61,1),(88,1),(101,1)}
        15:{3,4,7}:{(8,1),(22,1),(25,1),(103,1)}
        16:{1,3,5,6,7}:{(9,1),(23,1),(29,1),(58,1),(63,1),(89,1)}
        17:{1,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(25,1),(30,1),(31,1),(52,1),(63,1),(85,1)}
        19:{2,3,5,6}:{(11,1),(13,1),(33,1),(40,1),(67,1)}
        20:{2,4,5,7}:{(11,1),(33,1),(34,1),(72,1),(96,1)}
        21:{1,2,4,5}:{(12,1),(36,1),(71,1),(72,1),(76,1)}
        22:{3,4,6}:{(12,1),(15,1),(36,1),(40,1)}
        23:{1,2,5,6,7}:{(13,1),(16,1),(32,1),(39,1),(81,1),(94,1),(99,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(17,1),(33,1),(40,1),(47,1),(69,1),(80,1)}
        25:{3,5,7}:{(14,1),(15,1),(36,1),(40,1),(98,1),(104,1)}
        26:{1,3,4,7}:{(15,1),(37,1),(41,1),(43,1),(95,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(38,1),(42,1),(43,1),(96,1),(104,1)}
        28:{1,4,5,6}:{(17,1),(44,1),(45,1)}
        29:{1,4,6,7}:{(16,1),(17,1),(44,1),(46,1),(95,1)}
        30:{3,4,6}:{(17,1),(18,1),(40,1),(45,1),(47,1)}
        31:{2,4,5,7}:{(18,1),(42,1),(47,1),(72,1),(81,1),(96,1)}
        32:{2,3,5,6,7}:{(19,1),(23,1),(49,1),(58,1),(82,1),(90,1)}
        33:{2,4,6}:{(19,1),(20,1),(50,1)}
        34:{3,4,5,7}:{(20,1),(25,1),(50,1),(51,1),(52,1),(82,1),(85,1)}
        35:{1,2,4,5,6}:{(21,1),(24,1),(28,1),(48,1),(53,1),(54,1),(64,1),(83,1),(86,1),(87,1),(91,1)}
        36:{3,5}:{(21,1),(22,1)}
        37:{1,3,4,6}:{(22,1),(26,1),(55,1),(57,1),(59,1),(86,1),(102,1),(103,1)}
        38:{2,3,4,6}:{(22,1),(27,1),(56,1),(57,1),(60,1),(87,1),(102,1),(103,1)}
        39:{1,2,4,6,7}:{(23,1),(24,1),(29,1),(49,1),(53,1),(58,1),(65,1),(84,1),(93,1),(101,1)}
        40:{3,6}:{(24,1),(25,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(51,1),(55,1),(59,1),(61,1)}
        42:{2,3,5,7}:{(25,1),(27,1),(31,1),(56,1),(60,1),(61,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(57,1),(61,1),(62,1)}
        44:{1,4,5,7}:{(28,1),(29,1),(63,1)}
        45:{3,5,6}:{(28,1),(30,1),(63,1),(64,1)}
        46:{3,4,6,7}:{(29,1),(30,1),(58,1),(63,1),(65,1),(85,1)}
        47:{2,4,6}:{(30,1),(31,1),(60,1),(64,1)}
        48:{2,4,5,6}:{(33,1),(66,1),(67,1)}
        49:{2,4,6,7}:{(32,1),(33,1),(66,1),(68,1),(96,1)}
        50:{3,4,6}:{(33,1),(34,1),(40,1),(67,1),(69,1)}
        51:{1,4,5,7}:{(34,1),(41,1),(69,1),(71,1),(94,1),(95,1)}
        52:{3,4,5}:{(36,1),(70,1),(71,1),(72,1),(98,1)}
        53:{1,2,4,5,7}:{(35,1),(39,1),(44,1),(66,1),(73,1),(81,1),(94,1),(95,1),(96,1),(99,1)}
        54:{3,5,6}:{(35,1),(36,1),(40,1),(70,1),(73,1)}
        55:{1,3,5}:{(36,1),(37,1),(71,1),(76,1),(98,1)}
        56:{2,3,5}:{(36,1),(38,1),(72,1),(76,1),(98,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(43,1),(76,1),(77,1),(80,1),(100,1)}
        58:{3,6,7}:{(39,1),(40,1),(73,1),(104,1)}
        59:{1,3,6}:{(40,1),(41,1),(69,1),(80,1)}
        60:{2,3,6}:{(40,1),(42,1),(47,1),(80,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(43,1),(76,1),(80,1)}
        62:{1,2,3,7}:{(43,1),(77,1),(104,1)}
        63:{3,5,7}:{(44,1),(45,1),(46,1),(81,1)}
        64:{2,5,6}:{(45,1),(47,1),(81,1)}
        65:{2,4,6,7}:{(46,1),(47,1),(79,1),(81,1),(96,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(82,1)}
        67:{3,5,6}:{(48,1),(50,1),(82,1),(83,1)}
        68:{3,4,6,7}:{(49,1),(50,1),(58,1),(82,1),(84,1),(85,1)}
        69:{1,4,6}:{(50,1),(51,1),(59,1),(83,1)}
        70:{3,4,6}:{(52,1),(54,1),(85,1),(86,1),(87,1),(102,1)}
        71:{1,4,5}:{(52,1),(55,1),(86,1)}
        72:{2,4,5}:{(52,1),(56,1),(87,1)}
        73:{3,5,7}:{(53,1),(54,1),(58,1),(85,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(59,1),(83,1),(86,1),(89,1),(91,1),(102,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(60,1),(64,1),(87,1),(90,1),(91,1),(102,1)}
        76:{1,2,5}:{(55,1),(56,1),(57,1)}
        77:{1,2,3,6}:{(57,1),(62,1),(92,1),(102,1)}
        78:{1,3,6,7}:{(58,1),(59,1),(84,1),(89,1),(93,1)}
        79:{2,3,6,7}:{(58,1),(60,1),(65,1),(90,1),(93,1)}
        80:{1,2,6}:{(59,1),(60,1),(61,1)}
        81:{2,5,7}:{(63,1),(64,1),(65,1)}
        82:{3,5,7}:{(66,1),(67,1),(68,1),(94,1)}
        83:{1,5,6}:{(67,1),(69,1),(94,1)}
        84:{1,4,6,7}:{(68,1),(69,1),(78,1),(94,1),(95,1)}
        85:{3,4,7}:{(70,1),(73,1),(95,1),(96,1),(104,1)}
        86:{1,4,6}:{(70,1),(71,1),(74,1),(95,1)}
        87:{2,4,6}:{(70,1),(72,1),(75,1),(96,1)}
        88:{1,2,4,5}:{(71,1),(72,1),(76,1),(97,1),(98,1),(100,1)}
        89:{1,3,5,7}:{(73,1),(74,1),(78,1),(94,1),(95,1),(99,1),(104,1)}
        90:{2,3,5,7}:{(73,1),(75,1),(79,1),(81,1),(96,1),(99,1),(104,1)}
        91:{1,2,5,6}:{(74,1),(75,1),(76,1),(80,1),(97,1),(99,1)}
        92:{1,2,3,5}:{(76,1),(77,1),(98,1),(100,1)}
        93:{1,2,6,7}:{(78,1),(79,1),(80,1),(99,1)}
        94:{1,5,7}:{(82,1),(83,1),(84,1)}
        95:{1,4,7}:{(85,1),(86,1),(89,1)}
        96:{2,4,7}:{(85,1),(87,1),(90,1)}
        97:{1,2,4,6}:{(86,1),(87,1),(88,1),(91,1),(101,1),(102,1)}
        98:{3,5}:{(88,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(89,1),(90,1),(91,1),(93,1),(101,1)}
       100:{1,2,4}:{(92,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1148 :   0:{2,4,5,6}:{(2,1),(3,1),(22,1),(82,1),(83,1)}
         1:{2,3,4,6}:{(5,1),(6,1),(7,1),(22,1),(36,1),(65,1),(78,1),(114,1),(130,1)}
         2:{3,5,6}:{(0,1),(8,1),(9,1),(11,1)}
         3:{2,4,5,7}:{(0,1),(11,1),(12,1),(43,1),(96,1),(97,1)}
         4:{3,4,5}:{(8,1),(13,1),(14,1),(52,1)}
         5:{2,3,5}:{(1,1),(14,1),(16,1),(52,1),(137,1),(153,1)}
         6:{1,2,4,6}:{(1,1),(16,1),(18,1),(19,1),(57,1),(59,1),(110,1)}
         7:{2,3,4,7}:{(1,1),(17,1),(19,1),(43,1),(93,1),(106,1),(138,1),(189,1)}
         8:{3,4,6}:{(2,1),(4,1),(21,1),(22,1),(23,1),(65,1)}
         9:{1,5,6}:{(2,1),(21,1),(25,1)}
        10:{2,3,5,6}:{(2,1),(5,1),(22,1),(24,1),(26,1),(36,1),(65,1),(82,1),(131,1)}
        11:{3,5,7}:{(2,1),(3,1),(23,1),(25,1),(27,1)}
        12:{2,4,6,7}:{(3,1),(27,1),(28,1),(74,1)}
        13:{1,4,5}:{(4,1),(21,1),(29,1)}
        14:{2,4,5}:{(4,1),(5,1),(22,1),(173,1)}
        15:{3,4,5,7}:{(4,1),(23,1),(31,1),(32,1),(33,1),(69,1),(79,1),(136,1),(163,1),(166,1),(173,1)}
        16:{1,2,5}:{(5,1),(6,1),(34,1),(133,1)}
        17:{2,3,5,7}:{(5,1),(7,1),(32,1),(35,1),(36,1),(79,1),(159,1),(176,1),(195,1)}
        18:{1,3,6}:{(6,1),(34,1),(37,1),(65,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(35,1),(37,1),(84,1),(200,1)}
        20:{1,3,4}:{(29,1),(38,1),(78,1)}
        21:{1,4,6}:{(8,1),(9,1),(13,1),(40,1),(42,1)}
        22:{2,4,6}:{(8,1),(10,1),(14,1),(43,1),(154,1)}
        23:{3,4,7}:{(8,1),(11,1),(42,1),(43,1),(93,1)}
        24:{1,2,5,6}:{(9,1),(10,1),(16,1),(41,1),(45,1),(46,1),(59,1),(137,1),(177,1)}
        25:{1,5,7}:{(9,1),(11,1),(42,1),(47,1)}
        26:{2,3,5,7}:{(10,1),(11,1),(43,1),(46,1),(48,1),(93,1),(96,1),(144,1)}
        27:{3,6,7}:{(11,1),(12,1),(47,1)}
        28:{2,5,6,7}:{(12,1),(49,1),(96,1),(148,1)}
        29:{1,3,5}:{(13,1),(20,1),(40,1),(50,1),(52,1)}
        30:{1,2,4,5}:{(13,1),(14,1),(16,1),(41,1),(50,1),(52,1),(57,1),(98,1),(102,1),(137,1)}
        31:{1,4,5,7}:{(13,1),(15,1),(42,1),(51,1),(54,1),(95,1),(113,1),(141,1)}
        32:{2,4,5,7}:{(14,1),(15,1),(17,1),(43,1),(55,1),(96,1),(158,1),(181,1)}
        33:{3,4,6}:{(15,1),(54,1),(55,1),(56,1),(107,1),(154,1)}
        34:{1,3,5}:{(16,1),(18,1),(52,1),(57,1)}
        35:{1,2,5,7}:{(16,1),(17,1),(19,1),(58,1),(59,1),(190,1),(204,1)}
        36:{2,3,6}:{(17,1),(55,1),(59,1),(107,1),(177,1)}
        37:{1,3,7}:{(18,1),(19,1),(93,1),(206,1)}
        38:{1,2,4}:{(20,1),(50,1),(60,1),(102,1)}
        39:{1,3,4,7}:{(20,1),(51,1),(61,1),(62,1),(106,1),(141,1),(180,1),(203,1)}
        40:{1,3,6}:{(21,1),(29,1),(63,1),(64,1),(65,1)}
        41:{1,2,4,6}:{(21,1),(22,1),(24,1),(30,1),(63,1),(65,1),(66,1),(70,1),(114,1)}
        42:{1,4,7}:{(21,1),(23,1),(25,1),(64,1)}
        43:{2,4,7}:{(22,1),(23,1),(26,1),(166,1)}
        44:{3,4,6,7}:{(23,1),(27,1),(33,1),(67,1),(68,1),(69,1),(74,1),(120,1),(125,1),(163,1),(166,1)}
        45:{1,3,5,6}:{(24,1),(34,1),(65,1),(70,1),(71,1),(85,1),(118,1),(131,1),(133,1),(164,1),(168,1)}
        46:{1,2,5,7}:{(24,1),(25,1),(26,1),(66,1),(71,1),(72,1),(159,1)}
        47:{1,6,7}:{(25,1),(27,1)}
        48:{2,3,6,7}:{(26,1),(27,1),(36,1),(68,1),(72,1),(120,1),(195,1)}
        49:{3,5,6,7}:{(27,1),(28,1),(69,1),(73,1),(74,1),(125,1)}
        50:{1,2,5}:{(29,1),(38,1),(63,1),(75,1)}
        51:{1,3,5,7}:{(29,1),(31,1),(39,1),(64,1),(76,1),(77,1),(79,1),(88,1),(208,1)}
        52:{3,5}:{(30,1),(65,1),(78,1)}
        53:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(66,1),(76,1),(79,1),(80,1),(84,1),(121,1),(123,1),(126,1),(133,1),(135,1),(159,1),(162,1),(166,1),(169,1),(173,1),(192,1),(208,1)}
        54:{1,4,6}:{(31,1),(33,1),(77,1),(81,1)}
        55:{2,4,6}:{(32,1),(33,1),(36,1),(82,1)}
        56:{3,5,6}:{(33,1),(69,1),(81,1),(82,1),(83,1)}
        57:{1,4}:{(34,1),(78,1)}
        58:{1,3,5,7}:{(34,1),(35,1),(37,1),(79,1),(84,1),(85,1),(133,1),(175,1),(194,1),(208,1)}
        59:{1,2,6}:{(35,1),(36,1),(85,1)}
        60:{2,3}:{(38,1)}
        61:{1,2,4,7}:{(38,1),(39,1),(76,1),(86,1),(87,1),(126,1)}
        62:{1,3,4,6}:{(39,1),(77,1),(87,1),(88,1),(129,1),(130,1),(171,1),(174,1),(198,1)}
        63:{1,2,6}:{(40,1),(50,1),(89,1),(90,1)}
        64:{1,3,7}:{(40,1),(42,1),(90,1),(93,1)}
        65:{3,6}:{(41,1),(52,1),(93,1)}
        66:{1,2,4,7}:{(41,1),(42,1),(43,1),(46,1),(90,1),(93,1),(99,1),(138,1)}
        67:{1,4,6,7}:{(42,1),(44,1),(47,1),(54,1),(91,1),(95,1),(141,1)}
        68:{2,4,6,7}:{(43,1),(44,1),(48,1),(55,1),(96,1),(148,1),(181,1)}
        69:{3,5,7}:{(44,1),(56,1),(95,1),(96,1),(97,1)}
        70:{1,4,6}:{(45,1),(57,1),(92,1),(98,1),(99,1),(154,1)}
        71:{1,3,5,7}:{(45,1),(46,1),(93,1),(99,1),(100,1),(142,1),(144,1),(147,1)}
        72:{1,2,6,7}:{(46,1),(47,1),(48,1),(59,1),(100,1),(177,1),(204,1)}
        73:{1,5,6,7}:{(47,1),(49,1),(95,1),(101,1)}
        74:{4,6,7}:{(49,1),(97,1)}
        75:{2,3,5}:{(50,1),(52,1),(60,1),(89,1),(102,1),(137,1)}
        76:{1,2,5,7}:{(50,1),(51,1),(61,1),(90,1),(103,1),(104,1),(112,1)}
        77:{1,3,6}:{(51,1),(54,1),(104,1),(107,1),(209,1)}
        78:{3,4}:{(52,1),(57,1),(102,1)}
        79:{3,5,7}:{(52,1),(53,1),(93,1),(106,1),(107,1),(153,1),(157,1),(180,1)}
        80:{1,2,4,6}:{(53,1),(54,1),(55,1),(59,1),(104,1),(107,1),(108,1),(110,1),(146,1),(149,1),(154,1),(177,1),(201,1),(209,1)}
        81:{1,5,6}:{(54,1),(56,1),(95,1)}
        82:{2,5,6}:{(55,1),(56,1),(96,1)}
        83:{4,5,6}:{(56,1),(97,1),(154,1)}
        84:{1,4,7}:{(57,1),(58,1),(106,1),(110,1),(188,1)}
        85:{1,3,6}:{(58,1),(59,1),(107,1),(110,1),(209,1)}
        86:{2,3,7}:{(60,1),(61,1),(111,1),(180,1)}
        87:{1,2,4,6}:{(61,1),(62,1),(104,1),(111,1),(112,1),(149,1),(156,1)}
        88:{1,3,5}:{(62,1),(112,1),(113,1),(153,1),(157,1),(205,1)}
        89:{2,3,6}:{(63,1),(65,1),(75,1),(114,1),(115,1)}
        90:{1,2,7}:{(63,1),(64,1),(115,1)}
        91:{1,3,6,7}:{(64,1),(67,1),(77,1),(116,1),(117,1),(120,1),(125,1)}
        92:{3,4,6}:{(65,1),(70,1),(78,1),(114,1),(118,1),(119,1),(164,1)}
        93:{3,7}:{(65,1),(66,1)}
        94:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(72,1),(80,1),(116,1),(120,1),(121,1),(124,1),(160,1),(162,1),(166,1)}
        95:{1,5,7}:{(67,1),(69,1),(81,1)}
        96:{2,5,7}:{(68,1),(69,1),(82,1)}
        97:{4,5,7}:{(69,1),(74,1),(83,1),(166,1)}
        98:{1,4,5}:{(70,1),(118,1),(133,1),(173,1)}
        99:{1,4,7}:{(70,1),(71,1),(119,1),(166,1)}
       100:{1,3,6,7}:{(71,1),(72,1),(85,1),(120,1),(124,1),(164,1),(194,1)}
       101:{1,4,6,7}:{(73,1),(74,1),(122,1),(125,1)}
       102:{2,4}:{(75,1),(78,1)}
       103:{2,3,5,7}:{(75,1),(76,1),(79,1),(86,1),(115,1),(126,1),(127,1),(134,1),(159,1),(169,1)}
       104:{1,2,6}:{(76,1),(77,1),(127,1)}
       105:{1,3,5,6}:{(77,1),(81,1),(88,1),(117,1),(128,1),(129,1),(131,1),(132,1),(171,1)}
       106:{3,4,7}:{(78,1),(79,1),(84,1),(126,1),(130,1),(166,1),(174,1)}
       107:{3,6}:{(79,1),(80,1)}
       108:{1,2,5,6}:{(80,1),(81,1),(82,1),(121,1),(131,1),(133,1),(168,1),(169,1),(191,1)}
       109:{1,4,5,6}:{(81,1),(83,1),(122,1),(129,1),(132,1)}
       110:{1,4,6}:{(84,1),(85,1),(130,1),(133,1)}
       111:{2,3,6}:{(86,1),(87,1),(134,1),(171,1)}
       112:{1,2,5}:{(87,1),(88,1),(134,1),(169,1)}
       113:{1,4,5}:{(88,1),(129,1),(136,1),(173,1)}
       114:{2,4,6}:{(89,1),(92,1),(102,1),(137,1),(138,1),(177,1)}
       115:{2,3,7}:{(89,1),(90,1),(93,1),(138,1)}
       116:{1,2,6,7}:{(90,1),(91,1),(104,1),(139,1),(140,1),(148,1),(209,1)}
       117:{1,3,5,7}:{(91,1),(95,1),(105,1),(140,1),(141,1),(144,1),(145,1),(180,1)}
       118:{3,5}:{(92,1),(98,1),(137,1)}
       119:{3,4,7}:{(92,1),(93,1),(99,1),(138,1),(142,1)}
       120:{3,6,7}:{(93,1),(94,1),(107,1),(144,1),(180,1)}
       121:{1,2,5,7}:{(94,1),(95,1),(96,1),(108,1),(144,1),(147,1),(178,1)}
       122:{1,4,5,7}:{(95,1),(97,1),(101,1),(109,1),(141,1),(145,1)}
       123:{1,4,5,7}:{(98,1),(99,1),(142,1),(146,1),(147,1),(183,1)}
       124:{1,4,6,7}:{(99,1),(100,1),(110,1),(143,1),(146,1),(147,1),(203,1),(209,1)}
       125:{3,6,7}:{(101,1),(145,1),(148,1)}
       126:{2,4,7}:{(102,1),(103,1),(106,1),(149,1),(156,1)}
       127:{2,3,6}:{(103,1),(104,1),(107,1),(149,1),(177,1)}
       128:{1,2,5,6}:{(104,1),(105,1),(112,1),(140,1),(150,1),(151,1),(155,1),(205,1),(209,1)}
       129:{1,4,6}:{(105,1),(113,1),(141,1),(152,1),(154,1)}
       130:{3,4,6}:{(106,1),(107,1),(110,1),(149,1),(153,1),(154,1)}
       131:{3,5,6}:{(107,1),(108,1),(144,1),(153,1),(154,1)}
       132:{3,5,6}:{(109,1),(145,1),(152,1),(155,1)}
       133:{1,5}:{(110,1),(153,1)}
       134:{2,3,5}:{(111,1),(112,1),(156,1),(157,1)}
       135:{1,2,4,5}:{(112,1),(113,1),(151,1),(156,1),(157,1),(158,1),(184,1),(188,1),(190,1),(205,1)}
       136:{3,4,5}:{(113,1),(152,1),(157,1),(158,1)}
       137:{2,5}:{(114,1),(118,1)}
       138:{2,4,7}:{(114,1),(115,1),(119,1),(159,1)}
       139:{2,3,6,7}:{(115,1),(116,1),(120,1),(127,1),(160,1),(161,1),(207,1)}
       140:{1,2,5,7}:{(116,1),(117,1),(128,1),(161,1),(162,1),(167,1),(208,1)}
       141:{1,4,7}:{(117,1),(129,1),(163,1),(166,1)}
       142:{3,5,7}:{(118,1),(119,1),(123,1),(159,1),(164,1)}
       143:{3,4,6,7}:{(119,1),(120,1),(124,1),(130,1),(160,1),(164,1),(165,1),(166,1),(193,1),(196,1),(207,1)}
       144:{3,5,7}:{(120,1),(121,1),(131,1),(166,1)}
       145:{3,5,7}:{(122,1),(125,1),(132,1),(163,1),(167,1)}
       146:{1,4,6}:{(123,1),(164,1),(168,1),(196,1)}
       147:{1,5,7}:{(124,1),(133,1),(165,1),(168,1)}
       148:{2,6,7}:{(125,1),(167,1)}
       149:{2,4,6}:{(126,1),(127,1),(130,1),(169,1)}
       150:{2,3,5,6}:{(127,1),(128,1),(131,1),(134,1),(161,1),(169,1),(170,1),(171,1),(191,1),(197,1),(207,1)}
       151:{1,2,4,6}:{(128,1),(129,1),(135,1),(162,1),(170,1),(171,1),(172,1),(198,1),(199,1)}
       152:{3,4,6}:{(129,1),(132,1),(136,1),(163,1),(171,1),(172,1)}
       153:{3,5}:{(130,1),(133,1),(169,1),(173,1)}
       154:{4,6}:{(131,1),(166,1),(173,1)}
       155:{2,5,6}:{(132,1),(167,1),(172,1)}
       156:{2,4}:{(134,1),(174,1)}
       157:{3,5}:{(135,1),(171,1),(174,1)}
       158:{2,4,5}:{(136,1),(172,1),(176,1)}
       159:{2,5,7}:{(137,1),(138,1),(142,1),(177,1)}
       160:{2,4,6,7}:{(138,1),(139,1),(143,1),(149,1),(177,1),(178,1),(179,1),(201,1)}
       161:{2,3,5,7}:{(139,1),(140,1),(144,1),(150,1),(178,1),(179,1),(180,1),(202,1)}
       162:{1,2,4,7}:{(140,1),(141,1),(151,1),(179,1),(180,1),(181,1),(203,1),(204,1)}
       163:{3,4,7}:{(141,1),(145,1),(152,1),(180,1),(181,1)}
       164:{3,6}:{(142,1),(146,1),(177,1)}
       165:{3,5,7}:{(143,1),(147,1),(153,1),(178,1),(182,1),(183,1)}
       166:{4,7}:{(144,1),(154,1)}
       167:{2,5,7}:{(145,1),(148,1),(155,1),(181,1)}
       168:{1,5,6}:{(146,1),(147,1),(182,1),(209,1)}
       169:{2,5}:{(149,1),(153,1)}
       170:{2,4,6}:{(150,1),(154,1),(156,1),(179,1),(184,1),(185,1)}
       171:{3,6}:{(151,1),(157,1),(180,1)}
       172:{2,4,6}:{(152,1),(155,1),(158,1),(181,1),(187,1)}
       173:{4,5}:{(153,1),(154,1)}
       174:{3,4}:{(156,1),(157,1),(188,1)}
       175:{1,3,5}:{(157,1),(186,1),(188,1),(190,1),(205,1),(206,1)}
       176:{2,3,5}:{(157,1),(158,1),(187,1),(189,1),(190,1)}
       177:{2,6}:{(159,1),(164,1)}
       178:{2,5,7}:{(160,1),(165,1),(169,1),(191,1)}
       179:{2,4,7}:{(161,1),(166,1),(170,1),(193,1)}
       180:{3,7}:{(162,1),(171,1)}
       181:{2,4,7}:{(163,1),(167,1),(172,1),(195,1)}
       182:{3,5,6}:{(164,1),(165,1),(168,1),(191,1),(196,1),(207,1)}
       183:{4,5,7}:{(165,1),(166,1),(173,1),(196,1)}
       184:{2,4,5}:{(169,1),(170,1),(173,1),(197,1)}
       185:{3,4,6}:{(170,1),(171,1),(174,1),(193,1),(197,1),(198,1),(207,1)}
       186:{1,3,6}:{(171,1),(175,1),(194,1),(198,1),(199,1)}
       187:{2,3,6}:{(171,1),(172,1),(176,1),(195,1),(199,1)}
       188:{1,4}:{(174,1),(175,1)}
       189:{2,3,4}:{(174,1),(176,1),(200,1)}
       190:{1,2,5}:{(175,1),(176,1),(199,1),(200,1)}
       191:{2,5,6}:{(177,1),(178,1),(182,1),(201,1)}
       192:{2,4,5,7}:{(178,1),(179,1),(183,1),(184,1),(201,1),(202,1)}
       193:{3,4,7}:{(179,1),(180,1),(185,1),(202,1),(203,1)}
       194:{1,3,7}:{(180,1),(186,1),(203,1),(204,1)}
       195:{2,3,7}:{(180,1),(181,1),(187,1),(204,1)}
       196:{4,6}:{(182,1),(183,1)}
       197:{3,5}:{(184,1),(185,1),(205,1)}
       198:{1,4,6}:{(185,1),(186,1),(188,1),(203,1),(205,1),(209,1)}
       199:{1,2,6}:{(186,1),(187,1),(190,1),(204,1)}
       200:{1,2,4}:{(188,1),(189,1),(190,1),(206,1)}
       201:{2,4,6}:{(191,1),(192,1),(196,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(197,1),(207,1),(208,1)}
       203:{1,4,7}:{(193,1),(194,1),(198,1),(208,1)}
       204:{1,2,7}:{(194,1),(195,1),(199,1)}
       205:{1,5}:{(197,1),(198,1)}
       206:{1,3}:{(200,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{1,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

1149 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(57,1),(114,1)}
         1:{2,3,4,6}:{(2,1),(5,1),(6,1),(21,1),(24,1),(28,1),(57,1),(67,1)}
         2:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(38,1)}
         3:{1,2,3,5}:{(0,1),(8,1),(10,1),(36,1),(89,1),(94,1)}
         4:{1,2,3,7}:{(0,1),(9,1),(87,1),(142,1),(230,1)}
         5:{2,3,5}:{(1,1),(8,1),(13,1),(36,1),(98,1)}
         6:{2,3,4,7}:{(1,1),(9,1),(14,1),(41,1),(44,1),(87,1),(220,1)}
         7:{1,3,4,6}:{(2,1),(16,1),(17,1),(21,1),(52,1),(56,1),(57,1),(67,1)}
         8:{1,2,5}:{(2,1),(5,1),(16,1)}
         9:{1,2,4,7}:{(2,1),(4,1),(6,1),(17,1),(20,1),(227,1)}
        10:{1,2,4}:{(3,1),(21,1)}
        11:{1,2,3,5,7}:{(3,1),(4,1),(20,1),(22,1),(23,1),(62,1),(68,1),(119,1),(123,1),(172,1)}
        12:{2,3,5,6}:{(5,1),(18,1),(24,1),(25,1),(28,1),(29,1),(57,1),(74,1),(122,1)}
        13:{2,4,5}:{(5,1),(24,1),(26,1),(127,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(20,1),(27,1),(28,1),(62,1),(209,1),(225,1)}
        15:{2,4,5,6}:{(24,1),(29,1),(30,1),(74,1),(131,1)}
        16:{1,3,5}:{(7,1),(8,1),(32,1),(36,1),(98,1)}
        17:{1,3,4,7}:{(7,1),(9,1),(33,1),(41,1),(80,1),(87,1),(219,1)}
        18:{1,2,5,6}:{(8,1),(12,1),(31,1),(34,1),(35,1),(38,1),(49,1),(134,1)}
        19:{1,2,4,5}:{(8,1),(10,1),(13,1),(32,1),(34,1),(36,1),(46,1),(82,1),(89,1)}
        20:{1,2,5,7}:{(8,1),(9,1),(14,1),(33,1),(38,1),(221,1),(229,1)}
        21:{3,4}:{(10,1),(36,1)}
        22:{1,2,4,7}:{(10,1),(11,1),(41,1),(42,1),(190,1)}
        23:{1,2,3,6}:{(11,1),(38,1),(42,1),(92,1),(146,1)}
        24:{2,4,6}:{(12,1),(13,1),(43,1),(44,1),(149,1)}
        25:{2,3,5,7}:{(12,1),(35,1),(44,1),(45,1),(50,1),(87,1),(101,1),(145,1)}
        26:{3,4,5}:{(13,1),(36,1),(43,1),(46,1)}
        27:{2,4,5,7}:{(13,1),(14,1),(44,1),(47,1),(48,1),(101,1),(192,1),(215,1)}
        28:{2,3,6}:{(14,1),(38,1),(48,1),(92,1)}
        29:{3,5,6}:{(15,1),(43,1),(49,1),(50,1)}
        30:{2,4,5,7}:{(15,1),(44,1),(50,1),(51,1),(101,1),(155,1)}
        31:{1,3,5,6}:{(16,1),(18,1),(52,1),(53,1),(56,1),(57,1),(106,1),(113,1),(122,1)}
        32:{1,4,5}:{(16,1),(52,1),(54,1),(127,1)}
        33:{1,3,5,7}:{(16,1),(17,1),(20,1),(55,1),(56,1),(62,1),(208,1),(224,1)}
        34:{1,2,4,6}:{(18,1),(19,1),(24,1),(52,1),(57,1),(58,1),(69,1),(108,1),(114,1)}
        35:{1,2,5,7}:{(18,1),(25,1),(53,1),(58,1),(59,1),(75,1),(158,1)}
        36:{3,5}:{(19,1),(21,1),(57,1)}
        37:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(27,1),(55,1),(58,1),(62,1),(63,1),(68,1),(72,1),(111,1),(118,1),(119,1),(127,1),(168,1),(173,1),(201,1)}
        38:{1,2,6}:{(20,1),(28,1),(56,1)}
        39:{1,3,4}:{(21,1),(60,1),(64,1)}
        40:{2,3,4}:{(21,1),(61,1),(64,1)}
        41:{3,4,7}:{(21,1),(22,1),(62,1),(67,1),(168,1),(207,1)}
        42:{1,2,4,6}:{(22,1),(23,1),(67,1),(68,1)}
        43:{3,4,6}:{(24,1),(26,1),(29,1),(57,1),(69,1),(70,1)}
        44:{2,4,7}:{(24,1),(25,1),(70,1),(168,1)}
        45:{2,3,6,7}:{(25,1),(28,1),(59,1),(71,1),(76,1),(117,1),(225,1)}
        46:{1,4,5}:{(26,1),(60,1),(69,1)}
        47:{3,4,5,7}:{(26,1),(27,1),(62,1),(70,1),(72,1),(73,1),(127,1),(129,1),(168,1),(174,1),(202,1)}
        48:{2,4,6}:{(27,1),(28,1),(73,1),(74,1)}
        49:{1,5,6}:{(29,1),(69,1),(75,1)}
        50:{3,5,7}:{(29,1),(30,1),(70,1),(75,1),(76,1)}
        51:{2,4,6,7}:{(30,1),(76,1),(77,1),(133,1)}
        52:{1,4,6}:{(31,1),(32,1),(79,1),(80,1),(149,1)}
        53:{1,3,5,7}:{(31,1),(35,1),(80,1),(81,1),(87,1),(135,1),(139,1),(145,1)}
        54:{3,4,5}:{(32,1),(36,1),(79,1),(82,1)}
        55:{1,4,5,7}:{(32,1),(33,1),(80,1),(83,1),(84,1),(139,1),(193,1),(216,1)}
        56:{1,3,6}:{(33,1),(38,1),(84,1),(92,1)}
        57:{3,6}:{(34,1),(36,1),(87,1)}
        58:{1,2,4,7}:{(34,1),(35,1),(44,1),(80,1),(87,1),(99,1),(137,1),(142,1)}
        59:{1,2,6,7}:{(35,1),(38,1),(45,1),(81,1),(104,1),(179,1),(229,1)}
        60:{1,3,5}:{(36,1),(39,1),(46,1),(85,1),(89,1)}
        61:{2,3,5}:{(36,1),(40,1),(82,1),(86,1),(89,1)}
        62:{3,5,7}:{(36,1),(37,1),(41,1),(87,1),(92,1),(98,1),(191,1),(214,1)}
        63:{1,2,4,6}:{(37,1),(38,1),(48,1),(84,1),(92,1),(93,1),(102,1),(140,1),(146,1),(149,1)}
        64:{1,2,4}:{(39,1),(40,1),(89,1),(94,1)}
        65:{1,3,4,7}:{(39,1),(41,1),(90,1),(95,1),(96,1),(185,1),(214,1)}
        66:{2,3,4,7}:{(40,1),(41,1),(91,1),(95,1),(97,1),(186,1),(214,1)}
        67:{3,4,6}:{(41,1),(42,1),(92,1),(98,1),(149,1)}
        68:{1,2,5}:{(42,1),(98,1)}
        69:{1,4,6}:{(43,1),(46,1),(49,1),(85,1),(99,1)}
        70:{3,4,7}:{(43,1),(44,1),(50,1),(87,1),(99,1)}
        71:{2,4,6,7}:{(44,1),(45,1),(48,1),(100,1),(101,1),(196,1),(215,1)}
        72:{1,4,5,7}:{(46,1),(47,1),(90,1),(99,1),(102,1),(152,1),(154,1),(185,1)}
        73:{3,4,6}:{(47,1),(48,1),(92,1),(102,1),(103,1),(149,1)}
        74:{2,5,6}:{(48,1),(101,1),(103,1)}
        75:{1,5,7}:{(49,1),(50,1),(99,1),(104,1)}
        76:{3,6,7}:{(50,1),(51,1),(104,1)}
        77:{2,5,6,7}:{(51,1),(101,1),(105,1),(196,1)}
        78:{1,4,5,6}:{(52,1),(106,1),(107,1),(113,1),(164,1)}
        79:{3,4,6}:{(52,1),(54,1),(57,1),(106,1),(108,1),(109,1)}
        80:{1,4,7}:{(52,1),(53,1),(109,1),(168,1)}
        81:{1,3,6,7}:{(53,1),(56,1),(59,1),(110,1),(117,1),(159,1),(224,1)}
        82:{2,4,5}:{(54,1),(61,1),(108,1)}
        83:{3,4,5,7}:{(54,1),(55,1),(62,1),(109,1),(111,1),(112,1),(127,1),(162,1),(168,1),(175,1),(203,1)}
        84:{1,4,6}:{(55,1),(56,1),(112,1),(113,1)}
        85:{1,3,6}:{(57,1),(60,1),(69,1),(114,1),(115,1)}
        86:{2,3,6}:{(57,1),(61,1),(108,1),(114,1),(116,1)}
        87:{3,7}:{(57,1),(58,1)}
        88:{1,2,4,6,7}:{(58,1),(59,1),(63,1),(71,1),(110,1),(117,1),(118,1),(128,1),(161,1),(165,1),(168,1),(201,1)}
        89:{1,2,5}:{(60,1),(61,1),(64,1),(114,1)}
        90:{1,3,5,7}:{(60,1),(62,1),(65,1),(72,1),(115,1),(119,1),(120,1),(125,1)}
        91:{2,3,5,7}:{(61,1),(62,1),(66,1),(111,1),(116,1),(119,1),(121,1),(126,1)}
        92:{3,6}:{(62,1),(63,1)}
        93:{1,2,5,6}:{(63,1),(68,1),(74,1),(113,1),(118,1),(122,1),(130,1),(163,1)}
        94:{1,2,3}:{(64,1)}
        95:{1,2,4,7}:{(64,1),(65,1),(66,1),(119,1),(123,1),(124,1)}
        96:{1,3,4,6}:{(65,1),(67,1),(120,1),(124,1),(125,1),(170,1),(204,1),(207,1)}
        97:{2,3,4,6}:{(66,1),(67,1),(121,1),(124,1),(126,1),(171,1),(204,1),(207,1)}
        98:{3,5}:{(67,1),(68,1),(127,1)}
        99:{1,4,7}:{(69,1),(70,1),(75,1),(115,1)}
       100:{3,4,6,7}:{(70,1),(71,1),(73,1),(76,1),(117,1),(128,1),(129,1),(133,1),(168,1),(178,1),(202,1)}
       101:{2,5,7}:{(71,1),(74,1),(129,1)}
       102:{1,4,6}:{(72,1),(73,1),(120,1),(130,1)}
       103:{3,5,6}:{(73,1),(74,1),(129,1),(130,1),(131,1)}
       104:{1,6,7}:{(75,1),(76,1)}
       105:{3,5,6,7}:{(76,1),(77,1),(129,1),(132,1),(133,1),(178,1)}
       106:{3,5,6}:{(78,1),(79,1),(134,1),(135,1)}
       107:{1,4,5,7}:{(78,1),(80,1),(135,1),(136,1),(139,1),(182,1)}
       108:{2,4,6}:{(79,1),(82,1),(86,1),(134,1),(137,1)}
       109:{3,4,7}:{(79,1),(80,1),(87,1),(135,1),(137,1)}
       110:{1,4,6,7}:{(80,1),(81,1),(84,1),(138,1),(139,1),(216,1),(228,1)}
       111:{2,4,5,7}:{(82,1),(83,1),(91,1),(137,1),(140,1),(153,1),(181,1),(186,1)}
       112:{3,4,6}:{(83,1),(84,1),(92,1),(140,1),(141,1),(149,1)}
       113:{1,5,6}:{(84,1),(139,1),(141,1)}
       114:{1,2,6}:{(85,1),(86,1),(89,1),(142,1)}
       115:{1,3,7}:{(85,1),(87,1),(99,1),(142,1)}
       116:{2,3,7}:{(86,1),(87,1),(137,1),(142,1)}
       117:{3,6,7}:{(87,1),(88,1),(92,1),(145,1),(214,1)}
       118:{1,2,5,7}:{(88,1),(93,1),(101,1),(139,1),(145,1),(154,1),(181,1)}
       119:{1,2,5,7}:{(89,1),(90,1),(91,1),(95,1),(142,1),(146,1),(151,1)}
       120:{1,3,6}:{(90,1),(92,1),(102,1),(146,1)}
       121:{2,3,6}:{(91,1),(92,1),(140,1),(146,1)}
       122:{3,5,6}:{(92,1),(93,1),(98,1),(145,1),(149,1)}
       123:{1,2,3,7}:{(94,1),(95,1),(150,1),(214,1),(229,1)}
       124:{1,2,4,6}:{(95,1),(96,1),(97,1),(146,1),(150,1),(151,1),(190,1)}
       125:{1,3,5}:{(96,1),(98,1),(151,1),(152,1),(191,1)}
       126:{2,3,5}:{(97,1),(98,1),(151,1),(153,1),(191,1)}
       127:{4,5}:{(98,1),(149,1)}
       128:{1,4,6,7}:{(99,1),(100,1),(102,1),(104,1),(143,1),(154,1),(185,1)}
       129:{3,5,7}:{(100,1),(101,1),(103,1),(154,1),(155,1)}
       130:{1,5,6}:{(102,1),(103,1),(154,1)}
       131:{4,5,6}:{(103,1),(149,1),(155,1)}
       132:{1,5,6,7}:{(104,1),(105,1),(154,1),(157,1)}
       133:{4,6,7}:{(105,1),(155,1)}
       134:{2,5,6}:{(106,1),(108,1),(158,1)}
       135:{3,5,7}:{(106,1),(107,1),(109,1),(158,1),(159,1)}
       136:{1,4,6,7}:{(107,1),(159,1),(160,1),(198,1)}
       137:{2,4,7}:{(108,1),(109,1),(116,1),(158,1)}
       138:{3,4,6,7}:{(109,1),(110,1),(112,1),(117,1),(159,1),(161,1),(162,1),(168,1),(198,1),(203,1),(222,1)}
       139:{1,5,7}:{(110,1),(113,1),(162,1)}
       140:{2,4,6}:{(111,1),(112,1),(121,1),(163,1)}
       141:{3,5,6}:{(112,1),(113,1),(162,1),(163,1),(164,1)}
       142:{1,2,7}:{(114,1),(115,1),(116,1)}
       143:{1,3,6,7}:{(115,1),(117,1),(120,1),(128,1),(165,1),(166,1),(178,1)}
       144:{2,3,6,7}:{(116,1),(117,1),(121,1),(161,1),(165,1),(167,1),(222,1)}
       145:{3,5,7}:{(117,1),(118,1),(122,1),(168,1)}
       146:{1,2,6}:{(119,1),(120,1),(121,1)}
       147:{1,3,5,6}:{(120,1),(122,1),(125,1),(130,1),(166,1),(169,1),(170,1),(177,1),(204,1)}
       148:{2,3,5,6}:{(121,1),(122,1),(126,1),(163,1),(167,1),(169,1),(171,1),(200,1),(204,1)}
       149:{4,6}:{(122,1),(127,1),(168,1)}
       150:{1,2,3,6}:{(123,1),(124,1),(172,1),(204,1),(226,1)}
       151:{1,2,5}:{(124,1),(125,1),(126,1)}
       152:{1,4,5}:{(125,1),(127,1),(170,1),(174,1)}
       153:{2,4,5}:{(126,1),(127,1),(171,1),(175,1)}
       154:{1,5,7}:{(128,1),(129,1),(130,1)}
       155:{4,5,7}:{(129,1),(131,1),(133,1),(168,1)}
       156:{1,4,5,6}:{(130,1),(131,1),(170,1),(176,1),(177,1)}
       157:{1,4,6,7}:{(132,1),(133,1),(176,1),(178,1)}
       158:{2,5,7}:{(134,1),(135,1),(137,1),(179,1)}
       159:{3,6,7}:{(135,1),(136,1),(179,1)}
       160:{1,5,6,7}:{(136,1),(139,1),(180,1),(228,1)}
       161:{2,4,6,7}:{(137,1),(138,1),(140,1),(144,1),(179,1),(181,1),(186,1)}
       162:{3,5,7}:{(138,1),(139,1),(141,1),(181,1),(182,1)}
       163:{2,5,6}:{(140,1),(141,1),(181,1)}
       164:{4,5,6}:{(141,1),(149,1),(182,1)}
       165:{1,2,6,7}:{(142,1),(143,1),(144,1),(146,1),(184,1),(196,1),(228,1)}
       166:{1,3,5,7}:{(143,1),(145,1),(147,1),(154,1),(184,1),(185,1),(194,1),(214,1)}
       167:{2,3,5,7}:{(144,1),(145,1),(148,1),(181,1),(184,1),(186,1),(212,1),(214,1)}
       168:{4,7}:{(145,1),(149,1)}
       169:{1,2,5,6}:{(146,1),(147,1),(148,1),(151,1),(184,1),(187,1),(195,1),(213,1)}
       170:{1,4,6}:{(147,1),(149,1),(152,1),(185,1),(188,1)}
       171:{2,4,6}:{(148,1),(149,1),(153,1),(186,1),(189,1)}
       172:{1,2,3,5}:{(150,1),(151,1),(190,1),(191,1),(221,1),(230,1)}
       173:{1,2,4,5}:{(151,1),(152,1),(153,1),(187,1),(190,1),(191,1),(192,1),(193,1),(221,1)}
       174:{3,4,5}:{(152,1),(188,1),(191,1),(192,1)}
       175:{3,4,5}:{(153,1),(189,1),(191,1),(193,1)}
       176:{1,4,5,7}:{(154,1),(155,1),(156,1),(157,1),(185,1),(194,1)}
       177:{3,5,6}:{(156,1),(188,1),(194,1),(195,1)}
       178:{3,6,7}:{(157,1),(194,1),(196,1)}
       179:{2,6,7}:{(158,1),(159,1)}
       180:{3,5,6,7}:{(159,1),(160,1),(162,1),(197,1),(198,1),(222,1)}
       181:{2,5,7}:{(161,1),(162,1),(163,1)}
       182:{4,5,7}:{(162,1),(164,1),(168,1),(198,1)}
       183:{2,4,5,6}:{(163,1),(164,1),(171,1),(199,1),(200,1)}
       184:{1,2,5,7}:{(165,1),(166,1),(167,1),(169,1),(201,1),(210,1),(223,1)}
       185:{1,4,7}:{(166,1),(168,1),(170,1),(202,1)}
       186:{2,4,7}:{(167,1),(168,1),(171,1),(203,1)}
       187:{1,2,4,6}:{(169,1),(170,1),(171,1),(173,1),(201,1),(204,1),(205,1),(206,1),(226,1)}
       188:{3,4,6}:{(170,1),(174,1),(177,1),(202,1),(204,1),(205,1)}
       189:{3,4,6}:{(171,1),(175,1),(200,1),(203,1),(204,1),(206,1)}
       190:{1,2,4}:{(172,1),(207,1)}
       191:{3,5}:{(173,1),(204,1),(207,1)}
       192:{2,4,5}:{(174,1),(205,1),(209,1)}
       193:{1,4,5}:{(175,1),(206,1),(208,1)}
       194:{3,5,7}:{(176,1),(177,1),(178,1),(202,1),(210,1)}
       195:{2,5,6}:{(177,1),(205,1),(210,1)}
       196:{2,6,7}:{(178,1),(210,1)}
       197:{2,5,6,7}:{(179,1),(180,1),(181,1),(211,1)}
       198:{4,6,7}:{(180,1),(182,1)}
       199:{2,4,5,7}:{(181,1),(182,1),(183,1),(186,1),(211,1),(212,1)}
       200:{3,5,6}:{(183,1),(189,1),(212,1),(213,1)}
       201:{1,2,4,7}:{(184,1),(185,1),(186,1),(187,1),(214,1),(215,1),(216,1),(229,1)}
       202:{3,4,7}:{(185,1),(188,1),(194,1),(214,1),(215,1)}
       203:{3,4,7}:{(186,1),(189,1),(212,1),(214,1),(216,1)}
       204:{3,6}:{(187,1),(191,1),(214,1)}
       205:{2,4,6}:{(188,1),(192,1),(195,1),(215,1),(218,1)}
       206:{1,4,6}:{(189,1),(193,1),(213,1),(216,1),(217,1)}
       207:{3,4}:{(190,1),(191,1)}
       208:{1,3,5}:{(191,1),(193,1),(217,1),(219,1),(221,1)}
       209:{2,3,5}:{(191,1),(192,1),(218,1),(220,1),(221,1)}
       210:{2,5,7}:{(194,1),(195,1),(196,1),(215,1)}
       211:{2,4,6,7}:{(197,1),(198,1),(199,1),(222,1)}
       212:{3,5,7}:{(199,1),(200,1),(203,1),(222,1),(223,1)}
       213:{1,5,6}:{(200,1),(206,1),(223,1)}
       214:{3,7}:{(201,1),(204,1)}
       215:{2,4,7}:{(202,1),(205,1),(210,1),(225,1)}
       216:{1,4,7}:{(203,1),(206,1),(223,1),(224,1)}
       217:{1,3,6}:{(204,1),(206,1),(208,1),(224,1),(226,1)}
       218:{2,3,6}:{(204,1),(205,1),(209,1),(225,1),(226,1)}
       219:{1,3,4}:{(207,1),(208,1),(227,1)}
       220:{2,3,4}:{(207,1),(209,1),(227,1)}
       221:{1,2,5}:{(208,1),(209,1),(226,1),(227,1)}
       222:{3,6,7}:{(211,1),(212,1),(228,1)}
       223:{1,5,7}:{(212,1),(213,1),(216,1),(228,1)}
       224:{1,3,7}:{(214,1),(216,1),(217,1),(229,1)}
       225:{2,3,7}:{(214,1),(215,1),(218,1),(229,1)}
       226:{1,2,6}:{(217,1),(218,1),(221,1),(229,1)}
       227:{1,2,4}:{(219,1),(220,1),(221,1),(230,1)}
       228:{1,6,7}:{(222,1),(223,1)}
       229:{1,2,7}:{(224,1),(225,1),(226,1)}
       230:{1,2,3}:{(227,1)}

1150 :   0:{1,3,5,7}:{(4,1),(5,1),(6,1),(25,1),(27,1),(31,1),(61,1)}
         1:{2,3,5,7}:{(4,1),(7,1),(8,1),(9,1),(27,1),(34,1),(61,1)}
         2:{2,4,5,7}:{(7,1),(9,1),(10,1),(12,1),(34,1),(38,1),(65,1)}
         3:{2,4,6,7}:{(10,1),(11,1),(12,1),(38,1)}
         4:{1,2,5,7}:{(0,1),(1,1),(14,1),(15,1),(20,1),(40,1),(46,1)}
         5:{1,4,7}:{(0,1),(16,1),(17,1),(75,1),(101,1)}
         6:{1,3,6}:{(0,1),(15,1),(17,1),(41,1),(45,1),(102,1)}
         7:{2,4,7}:{(1,1),(18,1),(19,1),(75,1),(79,1)}
         8:{2,3,6}:{(1,1),(15,1),(19,1),(21,1),(45,1),(103,1)}
         9:{3,5,7}:{(2,1),(18,1),(20,1),(21,1),(50,1)}
        10:{2,4,6}:{(2,1),(21,1),(22,1),(52,1)}
        11:{3,6,7}:{(3,1),(21,1),(23,1),(24,1)}
        12:{2,5,7}:{(3,1),(22,1),(24,1),(79,1)}
        13:{1,4,5,7}:{(5,1),(25,1),(26,1),(31,1),(55,1),(63,1),(81,1)}
        14:{1,2,4,7}:{(4,1),(5,1),(7,1),(27,1),(28,1),(29,1),(32,1),(58,1)}
        15:{1,2,6}:{(4,1),(6,1),(8,1),(35,1),(56,1),(104,1)}
        16:{3,4,7}:{(5,1),(25,1),(27,1),(29,1),(30,1),(81,1),(96,1)}
        17:{1,4,6}:{(5,1),(6,1),(30,1),(31,1),(97,1),(100,1)}
        18:{3,4,7}:{(7,1),(9,1),(27,1),(32,1),(33,1),(38,1),(67,1)}
        19:{2,4,6}:{(7,1),(8,1),(33,1),(34,1),(88,1),(99,1)}
        20:{1,5,7}:{(9,1),(32,1),(35,1),(64,1)}
        21:{3,6}:{(9,1),(10,1),(35,1)}
        22:{2,5,6}:{(10,1),(12,1),(34,1),(36,1),(88,1)}
        23:{1,6,7}:{(11,1),(35,1),(37,1)}
        24:{3,5,7}:{(11,1),(12,1),(36,1),(37,1),(38,1),(67,1)}
        25:{3,5,7}:{(13,1),(16,1),(40,1),(41,1),(48,1)}
        26:{1,4,6}:{(13,1),(41,1),(42,1),(71,1)}
        27:{3,7}:{(14,1),(45,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(17,1),(19,1),(45,1),(46,1),(47,1),(49,1),(72,1),(75,1),(91,1)}
        29:{2,4,7}:{(16,1),(40,1),(44,1),(47,1)}
        30:{3,4,6}:{(16,1),(17,1),(41,1),(45,1),(47,1),(48,1),(71,1),(75,1),(90,1),(93,1)}
        31:{1,5}:{(17,1),(48,1)}
        32:{1,4,7}:{(18,1),(20,1),(43,1),(49,1)}
        33:{3,4,6}:{(18,1),(19,1),(21,1),(45,1),(49,1),(50,1),(52,1),(75,1),(78,1),(92,1)}
        34:{2,5}:{(19,1),(50,1)}
        35:{1,6}:{(20,1),(21,1)}
        36:{3,5,6}:{(21,1),(22,1),(24,1),(50,1),(51,1),(52,1),(78,1)}
        37:{1,5,7}:{(23,1),(24,1),(51,1),(53,1)}
        38:{4,7}:{(24,1),(52,1)}
        39:{1,4,6,7}:{(26,1),(54,1),(55,1),(81,1)}
        40:{2,5,7}:{(25,1),(29,1),(56,1),(62,1)}
        41:{3,6}:{(25,1),(26,1),(56,1)}
        42:{1,5,6}:{(26,1),(31,1),(55,1),(57,1),(97,1)}
        43:{1,3,7}:{(27,1),(32,1),(58,1),(59,1),(67,1)}
        44:{2,3,7}:{(27,1),(29,1),(58,1),(60,1),(96,1)}
        45:{3,6}:{(27,1),(28,1),(61,1),(98,1)}
        46:{1,2,5}:{(28,1),(31,1),(34,1),(61,1),(62,1),(64,1)}
        47:{2,4,6}:{(29,1),(30,1),(56,1),(60,1),(62,1),(85,1)}
        48:{3,5}:{(30,1),(31,1),(62,1),(63,1)}
        49:{1,4,6}:{(32,1),(33,1),(35,1),(59,1),(64,1),(84,1)}
        50:{3,5}:{(33,1),(34,1),(64,1),(65,1)}
        51:{1,5,6}:{(35,1),(36,1),(37,1),(64,1),(66,1)}
        52:{4,6}:{(36,1),(38,1),(65,1)}
        53:{1,4,7}:{(37,1),(38,1),(66,1),(67,1)}
        54:{3,6,7}:{(39,1),(41,1),(68,1),(69,1)}
        55:{1,5,7}:{(39,1),(42,1),(69,1),(101,1)}
        56:{2,6}:{(40,1),(41,1)}
        57:{3,5,6}:{(41,1),(42,1),(48,1),(69,1),(70,1),(71,1),(90,1)}
        58:{1,2,7}:{(43,1),(44,1),(72,1),(79,1),(101,1)}
        59:{1,3,6}:{(43,1),(45,1),(49,1),(72,1),(73,1),(78,1)}
        60:{2,3,6}:{(44,1),(45,1),(47,1),(72,1),(74,1),(90,1)}
        61:{3,5}:{(45,1),(46,1),(75,1)}
        62:{2,5}:{(47,1),(48,1)}
        63:{4,5}:{(48,1),(71,1),(75,1)}
        64:{1,5}:{(49,1),(50,1)}
        65:{4,5}:{(50,1),(52,1),(75,1)}
        66:{1,4,6}:{(51,1),(52,1),(53,1),(77,1),(78,1)}
        67:{3,7}:{(53,1),(78,1),(79,1)}
        68:{2,6,7}:{(54,1),(56,1),(80,1)}
        69:{3,5,7}:{(54,1),(55,1),(57,1),(80,1),(81,1),(96,1)}
        70:{2,5,6}:{(56,1),(57,1),(62,1),(80,1),(82,1)}
        71:{4,6}:{(57,1),(63,1),(81,1)}
        72:{1,2,6}:{(58,1),(59,1),(60,1),(83,1),(88,1),(97,1)}
        73:{1,3,5}:{(59,1),(61,1),(64,1),(83,1),(84,1),(87,1),(98,1)}
        74:{2,3,5}:{(60,1),(61,1),(62,1),(83,1),(85,1),(86,1),(98,1)}
        75:{4}:{(61,1)}
        76:{2,4,5}:{(62,1),(63,1),(82,1),(85,1),(86,1)}
        77:{1,4,5}:{(64,1),(65,1),(66,1),(84,1),(87,1)}
        78:{3,6}:{(66,1),(67,1),(87,1),(88,1)}
        79:{2,7}:{(67,1),(88,1)}
        80:{2,5,7}:{(68,1),(69,1),(70,1),(89,1)}
        81:{4,7}:{(69,1),(71,1)}
        82:{2,4,6}:{(70,1),(71,1),(76,1),(89,1),(90,1)}
        83:{1,2,5}:{(72,1),(73,1),(74,1),(91,1),(94,1),(95,1)}
        84:{1,4}:{(73,1),(75,1),(92,1)}
        85:{2,4}:{(74,1),(75,1),(93,1)}
        86:{3,5}:{(76,1),(90,1),(93,1),(94,1)}
        87:{3,5}:{(77,1),(78,1),(92,1),(95,1)}
        88:{2,6}:{(78,1),(79,1),(95,1)}
        89:{2,4,7}:{(80,1),(81,1),(82,1),(96,1)}
        90:{3,6}:{(82,1),(86,1),(96,1),(97,1)}
        91:{1,2,4}:{(83,1),(84,1),(85,1),(98,1),(99,1),(100,1),(104,1)}
        92:{3,4}:{(84,1),(87,1),(98,1),(99,1)}
        93:{3,4}:{(85,1),(86,1),(98,1),(100,1)}
        94:{1,5}:{(86,1),(97,1),(100,1)}
        95:{2,5}:{(87,1),(88,1),(99,1)}
        96:{3,7}:{(89,1),(90,1),(101,1)}
        97:{1,6}:{(90,1),(94,1),(101,1)}
        98:{3}:{(91,1)}
        99:{2,4}:{(92,1),(95,1),(103,1)}
       100:{1,4}:{(93,1),(94,1),(102,1)}
       101:{1,7}:{(96,1),(97,1)}
       102:{1,3}:{(98,1),(100,1),(104,1)}
       103:{2,3}:{(98,1),(99,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

1151 :   0:{1,3,4,6,7}:{(1,1),(2,1),(11,1),(18,1),(34,1),(36,1),(43,1),(66,1),(71,1),(95,1),(106,1)}
         1:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(21,1),(23,1),(30,1),(61,1),(90,1),(110,1)}
         2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(24,1),(27,1),(82,1),(109,1)}
         3:{1,3,5,6,7}:{(4,1),(8,1),(9,1),(27,1),(29,1),(55,1),(119,1)}
         4:{1,3,5,6}:{(2,1),(10,1),(11,1),(32,1),(34,1)}
         5:{2,3,6,7}:{(1,1),(12,1),(34,1),(106,1),(122,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(10,1),(12,1),(40,1),(121,1)}
         7:{1,4,5,7}:{(2,1),(11,1),(14,1),(71,1),(96,1)}
         8:{1,2,5,6,7}:{(3,1),(10,1),(16,1),(17,1),(40,1),(73,1),(75,1),(107,1)}
         9:{1,4,6,7}:{(3,1),(11,1),(15,1),(18,1),(71,1),(129,1)}
        10:{1,2,5,6}:{(4,1),(6,1),(20,1),(21,1),(46,1),(82,1)}
        11:{1,4,6}:{(4,1),(7,1),(22,1)}
        12:{2,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(24,1),(130,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(21,1),(23,1),(24,1),(25,1),(47,1),(51,1),(53,1),(82,1),(90,1),(111,1)}
        14:{3,4,5,7}:{(7,1),(22,1),(24,1),(25,1),(27,1),(54,1),(78,1)}
        15:{1,4,5,7}:{(9,1),(19,1),(27,1),(135,1)}
        16:{2,3,5,6,7}:{(8,1),(20,1),(28,1),(29,1),(56,1),(58,1),(92,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(21,1),(26,1),(28,1),(29,1),(30,1),(59,1),(61,1),(90,1),(117,1)}
        18:{3,4,6,7}:{(9,1),(22,1),(27,1),(29,1),(30,1),(54,1),(134,1)}
        19:{1,4,5,6}:{(11,1),(15,1),(32,1)}
        20:{2,3,5,6}:{(10,1),(12,1),(33,1),(34,1),(65,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(13,1),(33,1),(34,1),(35,1),(66,1),(68,1)}
        22:{3,4,6}:{(11,1),(14,1),(32,1),(34,1),(35,1)}
        23:{2,4,7}:{(12,1),(33,1),(36,1),(136,1)}
        24:{3,5,7}:{(13,1),(34,1),(36,1),(65,1),(106,1),(123,1)}
        25:{2,4,5,7}:{(14,1),(35,1),(38,1),(40,1),(72,1),(97,1)}
        26:{1,2,4,5,7}:{(15,1),(17,1),(31,1),(39,1),(40,1),(41,1),(71,1),(72,1),(73,1),(75,1)}
        27:{3,5,7}:{(15,1),(18,1),(32,1),(40,1),(138,1)}
        28:{2,4,6,7}:{(16,1),(33,1),(41,1),(42,1),(72,1),(104,1)}
        29:{3,6,7}:{(17,1),(34,1),(39,1),(106,1),(127,1)}
        30:{2,4,6,7}:{(18,1),(35,1),(40,1),(44,1),(72,1),(137,1)}
        31:{1,2,4,5,6}:{(19,1),(21,1),(26,1),(45,1),(46,1),(47,1),(57,1),(79,1),(80,1),(81,1),(82,1),(91,1),(111,1),(117,1),(135,1),(139,1)}
        32:{3,5,6}:{(19,1),(22,1),(27,1),(46,1)}
        33:{2,4,6}:{(20,1),(23,1),(47,1),(48,1)}
        34:{3,6}:{(21,1),(24,1)}
        35:{2,4,6}:{(22,1),(25,1),(46,1),(50,1)}
        36:{3,4,7}:{(23,1),(24,1),(48,1),(51,1),(131,1)}
        37:{1,3,5,7}:{(24,1),(49,1),(51,1),(53,1),(82,1),(85,1),(113,1)}
        38:{2,3,5,7}:{(24,1),(25,1),(50,1),(52,1),(53,1),(83,1)}
        39:{3,5,7}:{(26,1),(29,1),(45,1),(54,1)}
        40:{2,5,7}:{(27,1),(30,1),(46,1),(139,1)}
        41:{2,4,5,7}:{(28,1),(47,1),(57,1),(58,1)}
        42:{3,4,6,7}:{(28,1),(29,1),(48,1),(54,1),(58,1),(59,1),(87,1)}
        43:{1,3,6,7}:{(29,1),(49,1),(55,1),(59,1),(61,1),(114,1)}
        44:{2,3,6,7}:{(29,1),(30,1),(50,1),(56,1),(61,1),(132,1)}
        45:{3,5,6}:{(31,1),(34,1),(39,1),(62,1),(65,1),(123,1),(127,1),(138,1)}
        46:{2,5,6}:{(32,1),(35,1),(40,1)}
        47:{2,4,5}:{(33,1),(65,1)}
        48:{3,4,6}:{(33,1),(34,1),(36,1),(65,1),(66,1)}
        49:{1,3,6}:{(34,1),(37,1),(66,1),(68,1)}
        50:{2,3,6}:{(34,1),(35,1),(38,1),(68,1)}
        51:{1,4,7}:{(36,1),(37,1),(66,1),(124,1)}
        52:{2,3,4,7}:{(36,1),(38,1),(67,1),(69,1),(72,1),(106,1)}
        53:{1,2,5,7}:{(37,1),(38,1),(68,1),(69,1),(99,1)}
        54:{3,4,7}:{(39,1),(62,1),(71,1),(72,1),(106,1)}
        55:{1,3,5,7}:{(39,1),(43,1),(63,1),(71,1),(73,1),(75,1),(106,1)}
        56:{2,3,5,7}:{(39,1),(40,1),(44,1),(64,1),(72,1),(73,1),(106,1)}
        57:{2,4,5,6}:{(41,1),(74,1),(104,1)}
        58:{3,5,7}:{(41,1),(42,1),(65,1),(74,1),(75,1)}
        59:{1,4,6,7}:{(42,1),(43,1),(66,1),(71,1),(75,1),(103,1)}
        60:{2,3,4,6,7}:{(42,1),(44,1),(67,1),(72,1),(76,1),(77,1),(104,1),(106,1),(127,1),(128,1),(137,1)}
        61:{1,2,6,7}:{(43,1),(44,1),(68,1),(73,1),(125,1)}
        62:{3,4,6}:{(45,1),(54,1),(78,1),(79,1),(80,1),(112,1),(131,1)}
        63:{1,3,5,6}:{(45,1),(49,1),(55,1),(79,1),(81,1),(82,1),(91,1),(109,1),(112,1),(113,1),(114,1)}
        64:{2,3,5,6}:{(45,1),(46,1),(50,1),(56,1),(80,1),(81,1),(83,1),(112,1),(130,1),(132,1),(139,1)}
        65:{3,5}:{(47,1),(48,1),(82,1)}
        66:{1,4,6}:{(48,1),(49,1),(51,1),(82,1)}
        67:{2,3,4,6}:{(48,1),(50,1),(52,1),(80,1),(83,1),(84,1),(112,1),(131,1)}
        68:{1,2,6}:{(49,1),(50,1),(53,1)}
        69:{1,2,4,7}:{(51,1),(52,1),(53,1),(84,1),(85,1)}
        70:{3,4,5,7}:{(54,1),(58,1),(78,1),(87,1),(88,1),(89,1),(118,1)}
        71:{1,4,7}:{(54,1),(55,1),(79,1)}
        72:{2,4,7}:{(54,1),(56,1),(80,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(61,1),(81,1),(90,1)}
        74:{3,5,6}:{(57,1),(58,1),(87,1),(91,1)}
        75:{1,5,7}:{(58,1),(59,1),(82,1),(91,1)}
        76:{2,3,5,7}:{(58,1),(60,1),(83,1),(89,1),(92,1),(93,1),(118,1),(139,1)}
        77:{1,2,4,6,7}:{(59,1),(60,1),(61,1),(84,1),(90,1),(93,1),(94,1),(117,1),(120,1)}
        78:{3,4,5}:{(62,1),(65,1),(96,1),(97,1),(123,1),(138,1)}
        79:{1,4,6}:{(62,1),(63,1),(71,1),(96,1),(124,1)}
        80:{2,4,6}:{(62,1),(64,1),(72,1),(97,1),(136,1)}
        81:{1,2,5,6}:{(63,1),(64,1),(68,1),(73,1),(98,1),(99,1),(121,1),(125,1)}
        82:{1,5}:{(65,1),(66,1)}
        83:{2,3,5}:{(65,1),(67,1),(97,1),(99,1),(123,1)}
        84:{1,2,4,6}:{(66,1),(67,1),(68,1),(69,1),(99,1),(100,1),(124,1)}
        85:{1,3,7}:{(69,1),(100,1),(106,1)}
        86:{1,3,4,7}:{(71,1),(95,1),(101,1),(102,1),(106,1),(128,1)}
        87:{3,4,6}:{(70,1),(74,1),(103,1),(104,1),(127,1)}
        88:{1,4,5,7}:{(70,1),(71,1),(75,1),(96,1),(101,1),(103,1)}
        89:{2,4,5,7}:{(70,1),(72,1),(76,1),(97,1),(104,1)}
        90:{1,2,4,7}:{(71,1),(72,1),(73,1),(98,1),(106,1)}
        91:{1,5,6}:{(74,1),(75,1),(103,1)}
        92:{2,3,5,6}:{(74,1),(76,1),(104,1),(107,1),(127,1)}
        93:{1,2,5,7}:{(75,1),(76,1),(77,1),(99,1),(107,1),(108,1)}
        94:{1,3,6,7}:{(77,1),(100,1),(106,1),(108,1),(127,1)}
        95:{1,3,4,6}:{(79,1),(86,1),(109,1),(110,1),(112,1),(114,1),(131,1),(134,1)}
        96:{1,4,5}:{(78,1),(79,1),(82,1),(109,1)}
        97:{2,4,5}:{(78,1),(80,1),(83,1),(139,1)}
        98:{1,2,4,6}:{(79,1),(80,1),(81,1),(90,1),(111,1),(112,1)}
        99:{1,2,5}:{(82,1),(83,1),(84,1),(113,1)}
       100:{1,3,6}:{(84,1),(85,1),(112,1),(113,1)}
       101:{1,3,5,7}:{(86,1),(88,1),(109,1),(114,1),(115,1),(118,1)}
       102:{1,2,4,7}:{(86,1),(110,1),(115,1),(116,1),(133,1)}
       103:{1,4,6}:{(87,1),(88,1),(91,1),(114,1)}
       104:{2,4,6}:{(87,1),(89,1),(92,1)}
       105:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(93,1),(111,1),(115,1),(117,1),(118,1),(120,1),(133,1),(135,1),(139,1)}
       106:{3,7}:{(90,1),(112,1)}
       107:{1,2,5,6}:{(91,1),(92,1),(93,1),(117,1),(119,1),(139,1)}
       108:{1,3,5,7}:{(93,1),(94,1),(113,1),(118,1),(119,1),(120,1)}
       109:{1,3,5}:{(95,1),(96,1),(121,1),(123,1),(138,1)}
       110:{1,2,4,6}:{(95,1),(102,1),(121,1),(122,1),(125,1),(136,1),(137,1)}
       111:{1,2,4,5}:{(96,1),(97,1),(98,1),(99,1),(121,1),(123,1),(124,1),(136,1)}
       112:{3,6}:{(98,1),(106,1),(123,1)}
       113:{1,3,5}:{(99,1),(100,1),(123,1),(124,1)}
       114:{1,3,6}:{(101,1),(103,1),(125,1),(127,1)}
       115:{1,2,5,7}:{(101,1),(102,1),(121,1),(125,1),(126,1)}
       116:{2,3,7}:{(102,1),(106,1),(122,1)}
       117:{1,2,4,6}:{(103,1),(104,1),(105,1),(107,1),(125,1),(127,1),(129,1),(137,1)}
       118:{3,5,7}:{(105,1),(106,1),(123,1),(127,1),(128,1),(138,1)}
       119:{1,3,5,6}:{(107,1),(108,1),(127,1),(129,1),(138,1)}
       120:{1,4,7}:{(108,1),(124,1),(128,1),(129,1)}
       121:{1,2,5}:{(109,1),(110,1),(130,1),(139,1)}
       122:{2,3,6}:{(110,1),(112,1),(116,1),(130,1)}
       123:{3,5}:{(111,1),(112,1),(131,1)}
       124:{1,4}:{(113,1),(131,1)}
       125:{1,2,6}:{(114,1),(115,1),(132,1)}
       126:{2,3,5,7}:{(115,1),(116,1),(118,1),(130,1),(132,1),(133,1),(139,1)}
       127:{3,6}:{(117,1),(118,1)}
       128:{3,4,7}:{(118,1),(120,1),(131,1),(133,1),(134,1)}
       129:{1,4,6}:{(119,1),(120,1),(134,1),(135,1)}
       130:{2,3,5}:{(121,1),(122,1),(123,1),(136,1)}
       131:{3,4}:{(123,1),(124,1),(136,1)}
       132:{2,3,6}:{(125,1),(126,1),(127,1),(137,1)}
       133:{2,4,7}:{(126,1),(128,1),(136,1),(137,1)}
       134:{3,4,6}:{(127,1),(128,1),(129,1),(137,1),(138,1)}
       135:{1,4,5}:{(129,1),(138,1)}
       136:{2,4}:{(130,1),(131,1)}
       137:{2,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1152 :   0:{1,3,5,6,7}:{(2,1),(3,1),(10,1),(16,1),(18,1),(42,1),(116,1)}
         1:{1,3,4,6,7}:{(4,1),(5,1),(9,1),(21,1),(31,1),(50,1),(55,1),(59,1),(87,1),(90,1),(100,1)}
         2:{1,2,5,6,7}:{(0,1),(7,1),(8,1),(20,1),(28,1),(61,1),(63,1),(101,1)}
         3:{1,4,6,7}:{(0,1),(6,1),(9,1),(21,1),(59,1),(127,1)}
         4:{1,2,4,6,7}:{(1,1),(12,1),(13,1),(19,1),(34,1),(38,1),(48,1),(81,1),(107,1)}
         5:{1,3,5,7}:{(1,1),(10,1),(13,1),(14,1),(16,1),(39,1),(103,1),(106,1)}
         6:{1,4,5,7}:{(3,1),(11,1),(16,1),(134,1)}
         7:{2,3,5,6,7}:{(2,1),(17,1),(18,1),(33,1),(43,1),(45,1),(83,1)}
         8:{1,2,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(18,1),(19,1),(34,1),(46,1),(48,1),(81,1),(114,1)}
         9:{3,4,6,7}:{(3,1),(16,1),(18,1),(19,1),(35,1),(41,1),(133,1)}
        10:{1,3,5,6}:{(5,1),(20,1),(21,1),(23,1),(50,1)}
        11:{1,4,5,6}:{(6,1),(21,1),(23,1)}
        12:{2,3,6,7}:{(4,1),(24,1),(50,1),(100,1),(121,1)}
        13:{1,2,5,7}:{(4,1),(5,1),(20,1),(24,1),(28,1),(120,1)}
        14:{1,4,5,7}:{(5,1),(21,1),(26,1),(59,1),(91,1)}
        15:{1,2,4,5,7}:{(6,1),(8,1),(22,1),(27,1),(28,1),(29,1),(59,1),(60,1),(61,1),(63,1)}
        16:{3,5,7}:{(6,1),(9,1),(23,1),(28,1),(138,1)}
        17:{2,4,6,7}:{(7,1),(29,1),(30,1),(49,1),(60,1),(98,1)}
        18:{3,6,7}:{(8,1),(27,1),(50,1),(100,1),(125,1)}
        19:{2,4,6,7}:{(9,1),(28,1),(32,1),(51,1),(60,1),(137,1)}
        20:{1,2,5,6}:{(10,1),(13,1),(33,1),(34,1),(37,1),(103,1)}
        21:{1,4,6}:{(10,1),(14,1),(35,1)}
        22:{1,2,4,5,6}:{(11,1),(15,1),(34,1),(36,1),(37,1),(44,1),(66,1),(71,1),(72,1),(73,1),(82,1),(103,1),(108,1),(114,1),(134,1),(139,1)}
        23:{3,5,6}:{(11,1),(16,1),(35,1),(37,1)}
        24:{2,3,5,7}:{(12,1),(13,1),(33,1),(38,1),(39,1),(129,1)}
        25:{1,2,4,5,7}:{(13,1),(14,1),(34,1),(38,1),(39,1),(40,1),(66,1),(74,1),(76,1),(81,1),(103,1),(108,1)}
        26:{3,4,5,7}:{(14,1),(16,1),(35,1),(39,1),(40,1),(41,1),(70,1)}
        27:{3,5,7}:{(15,1),(18,1),(36,1),(41,1)}
        28:{2,5,7}:{(16,1),(19,1),(37,1),(139,1)}
        29:{2,4,5,7}:{(17,1),(44,1),(45,1),(66,1)}
        30:{3,4,6,7}:{(17,1),(18,1),(41,1),(45,1),(46,1),(67,1),(78,1)}
        31:{1,3,6,7}:{(18,1),(42,1),(46,1),(48,1),(68,1),(111,1)}
        32:{2,3,6,7}:{(18,1),(19,1),(43,1),(48,1),(69,1),(131,1)}
        33:{2,3,5,6}:{(20,1),(24,1),(49,1),(50,1),(86,1)}
        34:{1,2,4,6}:{(20,1),(21,1),(25,1),(49,1),(50,1),(51,1),(87,1),(89,1)}
        35:{3,4,6}:{(21,1),(23,1),(26,1),(50,1),(51,1)}
        36:{3,5,6}:{(22,1),(27,1),(50,1),(52,1),(86,1),(122,1),(125,1),(138,1)}
        37:{2,5,6}:{(23,1),(28,1),(51,1)}
        38:{2,4,7}:{(24,1),(49,1),(55,1),(136,1)}
        39:{3,5,7}:{(25,1),(50,1),(55,1),(86,1),(100,1),(122,1)}
        40:{2,4,5,7}:{(26,1),(28,1),(51,1),(57,1),(60,1),(92,1)}
        41:{3,4,7}:{(27,1),(52,1),(59,1),(60,1),(100,1)}
        42:{1,3,5,7}:{(27,1),(31,1),(53,1),(59,1),(61,1),(63,1),(100,1)}
        43:{2,3,5,7}:{(27,1),(28,1),(32,1),(54,1),(60,1),(61,1),(100,1)}
        44:{2,4,5,6}:{(29,1),(62,1),(98,1)}
        45:{3,5,7}:{(29,1),(30,1),(62,1),(63,1),(86,1)}
        46:{1,4,6,7}:{(30,1),(31,1),(59,1),(63,1),(87,1),(97,1)}
        47:{2,3,4,6,7}:{(30,1),(32,1),(60,1),(64,1),(65,1),(88,1),(98,1),(100,1),(125,1),(126,1),(137,1)}
        48:{1,2,6,7}:{(31,1),(32,1),(61,1),(89,1),(123,1)}
        49:{2,4,6}:{(33,1),(38,1),(66,1),(67,1)}
        50:{3,6}:{(34,1),(39,1)}
        51:{2,4,6}:{(35,1),(37,1),(40,1),(69,1)}
        52:{3,4,6}:{(36,1),(41,1),(70,1),(71,1),(72,1),(109,1),(130,1)}
        53:{1,3,5,6}:{(36,1),(42,1),(68,1),(71,1),(73,1),(82,1),(103,1),(106,1),(109,1),(111,1),(128,1)}
        54:{2,3,5,6}:{(36,1),(37,1),(43,1),(69,1),(72,1),(73,1),(104,1),(109,1),(129,1),(131,1),(139,1)}
        55:{3,4,7}:{(38,1),(39,1),(67,1),(74,1),(130,1)}
        56:{1,3,5,7}:{(39,1),(68,1),(74,1),(76,1),(103,1),(110,1),(128,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(69,1),(75,1),(76,1),(104,1)}
        58:{3,4,5,7}:{(41,1),(45,1),(70,1),(78,1),(79,1),(80,1),(115,1)}
        59:{1,4,7}:{(41,1),(42,1),(71,1)}
        60:{2,4,7}:{(41,1),(43,1),(72,1)}
        61:{1,2,5,7}:{(42,1),(43,1),(48,1),(73,1),(81,1)}
        62:{3,5,6}:{(44,1),(45,1),(78,1),(82,1)}
        63:{1,5,7}:{(45,1),(46,1),(82,1),(103,1)}
        64:{2,3,5,7}:{(45,1),(47,1),(80,1),(83,1),(84,1),(104,1),(115,1),(139,1)}
        65:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(81,1),(84,1),(85,1),(105,1),(114,1),(117,1)}
        66:{2,4,5}:{(49,1),(86,1)}
        67:{3,4,6}:{(49,1),(50,1),(55,1),(86,1),(87,1)}
        68:{1,3,6}:{(50,1),(56,1),(87,1),(89,1)}
        69:{2,3,6}:{(50,1),(51,1),(57,1),(89,1)}
        70:{3,4,5}:{(52,1),(86,1),(91,1),(92,1),(122,1),(138,1)}
        71:{1,4,6}:{(52,1),(53,1),(59,1),(91,1),(135,1)}
        72:{2,4,6}:{(52,1),(54,1),(60,1),(92,1),(136,1)}
        73:{1,2,5,6}:{(53,1),(54,1),(61,1),(89,1),(93,1),(118,1),(120,1),(123,1)}
        74:{1,4,7}:{(55,1),(56,1),(87,1),(135,1)}
        75:{2,3,4,7}:{(55,1),(57,1),(60,1),(88,1),(94,1),(100,1)}
        76:{1,2,5,7}:{(56,1),(57,1),(89,1),(94,1),(118,1)}
        77:{1,3,4,7}:{(59,1),(90,1),(95,1),(96,1),(100,1),(126,1)}
        78:{3,4,6}:{(58,1),(62,1),(97,1),(98,1),(125,1)}
        79:{1,4,5,7}:{(58,1),(59,1),(63,1),(91,1),(95,1),(97,1)}
        80:{2,4,5,7}:{(58,1),(60,1),(64,1),(92,1),(98,1)}
        81:{1,2,4,7}:{(59,1),(60,1),(61,1),(93,1),(100,1)}
        82:{1,5,6}:{(62,1),(63,1),(97,1)}
        83:{2,3,5,6}:{(62,1),(64,1),(98,1),(101,1),(125,1)}
        84:{1,2,5,7}:{(63,1),(64,1),(65,1),(101,1),(102,1),(118,1)}
        85:{1,3,6,7}:{(65,1),(100,1),(102,1),(119,1),(125,1)}
        86:{3,5}:{(66,1),(67,1),(103,1)}
        87:{1,4,6}:{(67,1),(68,1),(74,1),(103,1)}
        88:{2,3,4,6}:{(67,1),(69,1),(72,1),(75,1),(104,1),(105,1),(109,1),(130,1)}
        89:{1,2,6}:{(68,1),(69,1),(76,1)}
        90:{1,3,4,6}:{(71,1),(77,1),(106,1),(107,1),(109,1),(111,1),(130,1),(133,1)}
        91:{1,4,5}:{(70,1),(71,1),(103,1),(106,1)}
        92:{2,4,5}:{(70,1),(72,1),(104,1),(139,1)}
        93:{1,2,4,6}:{(71,1),(72,1),(73,1),(81,1),(108,1),(109,1)}
        94:{1,2,4,7}:{(74,1),(75,1),(76,1),(105,1),(110,1)}
        95:{1,3,5,7}:{(77,1),(79,1),(106,1),(111,1),(112,1),(115,1)}
        96:{1,2,4,7}:{(77,1),(107,1),(112,1),(113,1),(132,1)}
        97:{1,4,6}:{(78,1),(79,1),(82,1),(111,1)}
        98:{2,4,6}:{(78,1),(80,1),(83,1)}
        99:{1,2,4,5,7}:{(79,1),(80,1),(81,1),(84,1),(108,1),(112,1),(114,1),(115,1),(117,1),(132,1),(134,1),(139,1)}
       100:{3,7}:{(81,1),(109,1)}
       101:{1,2,5,6}:{(82,1),(83,1),(84,1),(114,1),(116,1),(139,1)}
       102:{1,3,5,7}:{(84,1),(85,1),(115,1),(116,1),(117,1),(128,1)}
       103:{1,5}:{(86,1),(87,1)}
       104:{2,3,5}:{(86,1),(88,1),(92,1),(118,1),(122,1)}
       105:{1,2,4,6}:{(87,1),(88,1),(89,1),(94,1),(118,1),(119,1),(135,1)}
       106:{1,3,5}:{(90,1),(91,1),(120,1),(122,1),(138,1)}
       107:{1,2,4,6}:{(90,1),(96,1),(120,1),(121,1),(123,1),(136,1),(137,1)}
       108:{1,2,4,5}:{(91,1),(92,1),(93,1),(118,1),(120,1),(122,1),(135,1),(136,1)}
       109:{3,6}:{(93,1),(100,1),(122,1)}
       110:{1,3,7}:{(94,1),(100,1),(119,1)}
       111:{1,3,6}:{(95,1),(97,1),(123,1),(125,1)}
       112:{1,2,5,7}:{(95,1),(96,1),(120,1),(123,1),(124,1)}
       113:{2,3,7}:{(96,1),(100,1),(121,1)}
       114:{1,2,4,6}:{(97,1),(98,1),(99,1),(101,1),(123,1),(125,1),(127,1),(137,1)}
       115:{3,5,7}:{(99,1),(100,1),(122,1),(125,1),(126,1),(138,1)}
       116:{1,3,5,6}:{(101,1),(102,1),(125,1),(127,1),(138,1)}
       117:{1,4,7}:{(102,1),(126,1),(127,1),(135,1)}
       118:{1,2,5}:{(103,1),(104,1),(105,1),(128,1)}
       119:{1,3,6}:{(105,1),(109,1),(110,1),(128,1)}
       120:{1,2,5}:{(106,1),(107,1),(129,1),(139,1)}
       121:{2,3,6}:{(107,1),(109,1),(113,1),(129,1)}
       122:{3,5}:{(108,1),(109,1),(130,1)}
       123:{1,2,6}:{(111,1),(112,1),(131,1)}
       124:{2,3,5,7}:{(112,1),(113,1),(115,1),(129,1),(131,1),(132,1),(139,1)}
       125:{3,6}:{(114,1),(115,1)}
       126:{3,4,7}:{(115,1),(117,1),(130,1),(132,1),(133,1)}
       127:{1,4,6}:{(116,1),(117,1),(133,1),(134,1)}
       128:{1,3,5}:{(118,1),(119,1),(122,1),(135,1)}
       129:{2,3,5}:{(120,1),(121,1),(122,1),(136,1)}
       130:{3,4}:{(122,1),(135,1),(136,1)}
       131:{2,3,6}:{(123,1),(124,1),(125,1),(137,1)}
       132:{2,4,7}:{(124,1),(126,1),(136,1),(137,1)}
       133:{3,4,6}:{(125,1),(126,1),(127,1),(137,1),(138,1)}
       134:{1,4,5}:{(127,1),(138,1)}
       135:{1,4}:{(128,1),(130,1)}
       136:{2,4}:{(129,1),(130,1)}
       137:{2,4,6}:{(131,1),(132,1),(133,1),(139,1)}
       138:{3,5}:{(133,1),(134,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1153 :   0:{1,3,4,5,7}:{(1,1),(2,1),(15,1),(31,1),(75,1),(90,1),(92,1),(133,1),(146,1),(154,1)}
         1:{1,2,4,5,7}:{(0,1),(4,1),(5,1),(21,1),(26,1),(59,1),(63,1),(65,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(7,1),(66,1),(161,1),(174,1),(181,1)}
         3:{2,3,4,5,7}:{(8,1),(9,1),(11,1),(35,1),(41,1),(89,1),(134,1),(136,1),(146,1),(187,1)}
         4:{2,3,5,7}:{(1,1),(11,1),(12,1),(41,1),(146,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(12,1),(14,1),(43,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(15,1),(47,1),(92,1),(95,1),(157,1)}
         7:{1,3,5,6}:{(2,1),(14,1),(15,1),(16,1),(46,1),(75,1),(199,1)}
         8:{1,2,4,5,7}:{(3,1),(17,1),(18,1),(21,1),(53,1),(59,1),(102,1),(104,1)}
         9:{2,3,4,6}:{(3,1),(18,1),(20,1),(105,1),(119,1),(174,1),(202,1)}
        10:{1,2,3,5,7}:{(4,1),(17,1),(21,1),(22,1),(59,1)}
        11:{2,3,4,7}:{(4,1),(21,1),(23,1),(65,1),(116,1)}
        12:{2,3,6}:{(4,1),(5,1),(174,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(24,1),(26,1),(65,1)}
        14:{1,2,5,6}:{(5,1),(7,1),(25,1),(26,1),(59,1)}
        15:{1,3,5,7}:{(6,1),(7,1),(26,1),(29,1),(68,1),(183,1)}
        16:{1,4,5,6}:{(7,1),(29,1),(30,1),(102,1),(161,1)}
        17:{1,3,5,7}:{(8,1),(31,1),(32,1),(75,1),(146,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(32,1),(34,1),(77,1)}
        19:{2,3,4,6,7}:{(9,1),(33,1),(35,1),(81,1),(136,1),(139,1),(190,1)}
        20:{2,3,5,6}:{(9,1),(34,1),(35,1),(36,1),(41,1),(80,1),(208,1)}
        21:{1,2,4,7}:{(10,1),(11,1),(31,1),(37,1)}
        22:{1,2,3,6}:{(10,1),(12,1),(32,1),(37,1)}
        23:{2,3,4,6}:{(11,1),(12,1),(37,1),(41,1),(43,1),(87,1)}
        24:{2,3,6,7}:{(12,1),(13,1),(42,1),(95,1)}
        25:{2,3,5,6}:{(12,1),(14,1),(41,1),(42,1),(43,1),(46,1)}
        26:{1,2,5,7}:{(13,1),(14,1),(15,1),(42,1)}
        27:{1,2,4,5,6}:{(14,1),(16,1),(43,1),(45,1),(46,1),(49,1),(85,1),(93,1),(98,1),(145,1),(152,1),(199,1)}
        28:{1,3,5,6,7}:{(15,1),(44,1),(47,1),(95,1),(99,1),(132,1)}
        29:{1,4,5,7}:{(15,1),(16,1),(47,1),(48,1)}
        30:{3,4,5,6}:{(16,1),(46,1),(48,1),(49,1),(134,1),(186,1)}
        31:{1,3,4,7}:{(17,1),(21,1),(50,1),(104,1),(116,1)}
        32:{1,3,6}:{(17,1),(18,1),(174,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(51,1),(53,1),(104,1)}
        34:{1,2,5,6}:{(18,1),(20,1),(52,1),(53,1),(59,1)}
        35:{2,3,5,7}:{(19,1),(20,1),(53,1),(56,1),(107,1),(204,1)}
        36:{2,4,5,6}:{(20,1),(56,1),(57,1),(63,1),(119,1)}
        37:{1,2,4,6}:{(21,1),(22,1),(23,1),(50,1),(59,1)}
        38:{1,2,3,6,7}:{(22,1),(24,1),(51,1),(58,1),(60,1),(128,1),(171,1),(174,1),(206,1)}
        39:{1,2,3,5,6}:{(22,1),(25,1),(52,1),(59,1),(60,1),(61,1),(69,1),(109,1),(113,1),(115,1),(174,1),(177,1),(179,1),(206,1)}
        40:{2,3,4,6,7}:{(23,1),(24,1),(58,1),(62,1),(65,1),(116,1),(119,1),(124,1),(174,1)}
        41:{2,3,5}:{(23,1),(59,1),(63,1),(115,1)}
        42:{2,3,5,7}:{(24,1),(25,1),(26,1),(65,1),(68,1)}
        43:{2,4,6}:{(25,1),(63,1),(65,1),(66,1)}
        44:{1,2,5,6,7}:{(26,1),(28,1),(64,1),(67,1),(113,1),(131,1),(183,1)}
        45:{1,2,4,5,7}:{(26,1),(27,1),(29,1),(65,1),(67,1),(68,1),(73,1),(123,1),(125,1),(130,1),(183,1)}
        46:{3,5,6}:{(27,1),(66,1),(68,1),(115,1),(174,1)}
        47:{1,4,6,7}:{(28,1),(29,1),(72,1),(161,1)}
        48:{3,4,5,7}:{(29,1),(30,1),(68,1),(72,1),(73,1)}
        49:{2,4,5,6}:{(30,1),(70,1),(73,1),(164,1),(202,1)}
        50:{1,3,4,6}:{(31,1),(32,1),(37,1),(75,1),(77,1),(87,1)}
        51:{1,3,6,7}:{(32,1),(33,1),(76,1),(139,1)}
        52:{1,3,5,6}:{(32,1),(34,1),(75,1),(76,1),(77,1),(80,1)}
        53:{1,2,5,7}:{(33,1),(34,1),(35,1),(76,1)}
        54:{1,2,4,5,6}:{(34,1),(36,1),(77,1),(79,1),(80,1),(83,1),(85,1),(138,1),(142,1),(145,1),(185,1),(208,1)}
        55:{2,3,5,6,7}:{(35,1),(78,1),(81,1),(88,1),(139,1),(143,1)}
        56:{2,4,5,7}:{(35,1),(36,1),(81,1),(82,1)}
        57:{3,4,5,6}:{(36,1),(80,1),(82,1),(83,1),(90,1),(153,1)}
        58:{1,2,4,6,7}:{(37,1),(38,1),(40,1),(74,1),(84,1),(86,1),(145,1),(157,1),(190,1)}
        59:{1,2,5}:{(37,1),(41,1),(75,1)}
        60:{1,2,3,5,7}:{(38,1),(39,1),(42,1),(76,1),(84,1),(86,1),(96,1),(141,1),(146,1),(196,1),(198,1)}
        61:{1,2,4,6}:{(39,1),(43,1),(77,1),(85,1),(86,1),(87,1),(93,1),(138,1)}
        62:{2,3,5,7}:{(40,1),(41,1),(84,1),(88,1),(89,1),(146,1),(156,1)}
        63:{2,4,5}:{(41,1),(43,1),(90,1)}
        64:{2,3,5,6,7}:{(42,1),(44,1),(88,1),(91,1),(95,1),(156,1)}
        65:{2,4,7}:{(42,1),(43,1),(92,1)}
        66:{3,4,6}:{(43,1),(46,1),(90,1),(92,1),(93,1)}
        67:{1,2,4,6,7}:{(44,1),(45,1),(47,1),(91,1),(95,1),(100,1),(145,1),(157,1),(160,1)}
        68:{3,5,7}:{(45,1),(46,1),(92,1),(95,1)}
        69:{1,3,5,6}:{(46,1),(93,1),(96,1),(98,1),(147,1),(159,1),(194,1),(199,1)}
        70:{2,3,5,6}:{(46,1),(49,1),(94,1),(97,1),(98,1),(148,1),(195,1)}
        71:{1,4,5,6,7}:{(47,1),(99,1),(185,1)}
        72:{3,4,6,7}:{(47,1),(48,1),(95,1),(99,1),(100,1),(186,1)}
        73:{2,4,5,7}:{(48,1),(49,1),(97,1),(100,1)}
        74:{1,3,4,6,7}:{(50,1),(51,1),(58,1),(101,1),(104,1),(116,1),(161,1),(166,1),(174,1)}
        75:{1,3,5}:{(50,1),(59,1),(102,1),(115,1)}
        76:{1,3,5,7}:{(51,1),(52,1),(53,1),(104,1),(107,1)}
        77:{1,4,6}:{(52,1),(102,1),(104,1),(105,1)}
        78:{1,2,5,6,7}:{(53,1),(55,1),(103,1),(106,1),(113,1),(173,1),(204,1)}
        79:{1,2,4,5,7}:{(53,1),(54,1),(56,1),(104,1),(106,1),(107,1),(112,1),(165,1),(168,1),(172,1),(204,1)}
        80:{3,5,6}:{(54,1),(105,1),(107,1),(115,1),(174,1)}
        81:{2,4,6,7}:{(55,1),(56,1),(111,1),(119,1)}
        82:{3,4,5,7}:{(56,1),(57,1),(107,1),(111,1),(112,1)}
        83:{1,4,5,6}:{(57,1),(108,1),(112,1),(121,1),(181,1)}
        84:{1,2,5,7}:{(58,1),(59,1),(62,1),(101,1),(113,1),(183,1),(204,1)}
        85:{1,2,4,5}:{(59,1),(61,1),(63,1),(102,1),(115,1),(121,1),(164,1),(177,1)}
        86:{1,2,4,7}:{(60,1),(61,1),(65,1),(104,1),(116,1),(125,1),(168,1)}
        87:{3,4,6}:{(61,1),(115,1),(116,1),(174,1)}
        88:{2,3,5,6}:{(62,1),(113,1),(119,1),(174,1),(180,1)}
        89:{2,4,5,7}:{(62,1),(63,1),(65,1),(119,1),(120,1)}
        90:{3,4,5}:{(63,1),(66,1),(115,1),(121,1)}
        91:{2,4,6,7}:{(64,1),(65,1),(119,1),(123,1),(124,1)}
        92:{3,4,7}:{(65,1),(66,1),(68,1),(125,1)}
        93:{1,4,6}:{(66,1),(69,1),(121,1),(125,1)}
        94:{2,3,4,6}:{(66,1),(70,1),(122,1),(126,1),(127,1)}
        95:{3,6,7}:{(67,1),(68,1),(174,1)}
        96:{1,3,5,7}:{(68,1),(69,1),(125,1),(128,1),(130,1),(183,1),(184,1)}
        97:{2,3,5,7}:{(68,1),(70,1),(73,1),(126,1),(129,1),(130,1)}
        98:{1,2,5,6}:{(69,1),(70,1),(127,1),(130,1),(177,1),(206,1)}
        99:{3,5,6,7}:{(71,1),(72,1),(131,1),(201,1)}
       100:{2,4,6,7}:{(72,1),(73,1),(129,1),(131,1),(202,1)}
       101:{1,3,5,7}:{(74,1),(75,1),(84,1),(132,1),(133,1),(146,1),(189,1)}
       102:{1,4,5}:{(75,1),(77,1),(134,1)}
       103:{1,3,5,6,7}:{(76,1),(78,1),(132,1),(135,1),(139,1),(189,1)}
       104:{1,4,7}:{(76,1),(77,1),(136,1)}
       105:{3,4,6}:{(77,1),(80,1),(134,1),(136,1),(138,1)}
       106:{1,2,4,6,7}:{(78,1),(79,1),(81,1),(135,1),(139,1),(144,1),(145,1),(190,1),(193,1)}
       107:{3,5,7}:{(79,1),(80,1),(136,1),(139,1)}
       108:{1,3,5,6}:{(80,1),(83,1),(137,1),(140,1),(142,1),(147,1),(194,1)}
       109:{2,3,5,6}:{(80,1),(138,1),(141,1),(142,1),(148,1),(192,1),(195,1),(208,1)}
       110:{2,4,5,6,7}:{(81,1),(143,1),(152,1)}
       111:{3,4,6,7}:{(81,1),(82,1),(139,1),(143,1),(144,1),(153,1)}
       112:{1,4,5,7}:{(82,1),(83,1),(140,1),(144,1)}
       113:{1,2,5,6}:{(84,1),(88,1),(132,1),(145,1),(199,1),(208,1)}
       114:{1,2,4,5,7}:{(84,1),(85,1),(86,1),(89,1),(133,1),(145,1),(146,1),(154,1),(187,1),(196,1)}
       115:{3,5}:{(85,1),(87,1)}
       116:{3,4,7}:{(86,1),(87,1),(146,1)}
       117:{1,3,4,6}:{(87,1),(93,1),(147,1),(149,1),(151,1),(159,1),(194,1),(200,1)}
       118:{2,3,4,6}:{(87,1),(138,1),(148,1),(150,1),(151,1),(192,1),(195,1),(209,1)}
       119:{2,4,6}:{(88,1),(89,1),(153,1)}
       120:{3,4,5,7}:{(89,1),(90,1),(92,1),(146,1),(153,1),(154,1),(156,1)}
       121:{1,4,5}:{(90,1),(93,1),(147,1)}
       122:{2,3,4,5}:{(90,1),(94,1),(148,1),(155,1),(209,1)}
       123:{2,4,5,7}:{(91,1),(152,1),(156,1)}
       124:{3,4,6,7}:{(91,1),(92,1),(95,1),(153,1),(156,1),(157,1)}
       125:{1,4,7}:{(92,1),(93,1),(96,1)}
       126:{2,3,4,7}:{(92,1),(94,1),(97,1),(158,1)}
       127:{1,2,4,6}:{(93,1),(94,1),(98,1),(155,1),(158,1),(159,1)}
       128:{1,3,6,7}:{(95,1),(96,1),(157,1),(160,1),(194,1)}
       129:{2,3,6,7}:{(95,1),(97,1),(100,1),(160,1),(195,1)}
       130:{1,2,5,7}:{(96,1),(97,1),(98,1),(158,1),(160,1)}
       131:{2,5,6,7}:{(99,1),(100,1),(208,1)}
       132:{1,3,5,6}:{(101,1),(113,1),(161,1),(174,1),(201,1)}
       133:{1,4,5,7}:{(101,1),(102,1),(104,1),(161,1),(162,1)}
       134:{3,4,5}:{(102,1),(105,1),(115,1),(164,1)}
       135:{1,4,6,7}:{(103,1),(104,1),(161,1),(165,1),(166,1)}
       136:{3,4,7}:{(104,1),(105,1),(107,1),(168,1)}
       137:{1,3,4,6}:{(105,1),(108,1),(163,1),(167,1),(169,1)}
       138:{2,4,6}:{(105,1),(109,1),(164,1),(168,1)}
       139:{3,6,7}:{(106,1),(107,1),(174,1)}
       140:{1,3,5,7}:{(107,1),(108,1),(112,1),(167,1),(170,1),(172,1)}
       141:{2,3,5,7}:{(107,1),(109,1),(168,1),(171,1),(172,1),(204,1),(205,1)}
       142:{1,2,5,6}:{(108,1),(109,1),(169,1),(172,1),(177,1),(206,1)}
       143:{3,5,6,7}:{(110,1),(111,1),(173,1),(180,1)}
       144:{1,4,6,7}:{(111,1),(112,1),(170,1),(173,1),(181,1)}
       145:{1,2,4,6}:{(113,1),(114,1),(119,1),(161,1),(174,1),(181,1),(202,1),(206,1)}
       146:{3,5,7}:{(114,1),(115,1),(116,1),(174,1)}
       147:{1,3,5}:{(115,1),(117,1),(121,1),(177,1)}
       148:{2,3,5}:{(115,1),(118,1),(164,1),(177,1)}
       149:{1,3,4,7}:{(116,1),(117,1),(125,1),(175,1),(178,1),(184,1)}
       150:{2,3,4,7}:{(116,1),(118,1),(168,1),(176,1),(178,1),(205,1)}
       151:{1,2,4,6}:{(117,1),(118,1),(177,1),(178,1),(179,1),(206,1),(207,1)}
       152:{2,4,5,6}:{(119,1),(123,1),(180,1)}
       153:{3,4,6}:{(119,1),(120,1),(174,1),(180,1),(181,1)}
       154:{1,4,5,7}:{(120,1),(121,1),(125,1),(175,1),(181,1),(183,1)}
       155:{1,2,4,5}:{(121,1),(122,1),(127,1),(177,1),(182,1),(207,1)}
       156:{3,5,7}:{(123,1),(124,1),(180,1),(183,1)}
       157:{1,4,6,7}:{(124,1),(125,1),(128,1),(181,1),(183,1)}
       158:{1,2,4,7}:{(125,1),(126,1),(127,1),(130,1),(184,1)}
       159:{1,3,6}:{(127,1),(182,1),(184,1)}
       160:{1,2,6,7}:{(128,1),(129,1),(130,1),(206,1)}
       161:{1,4,6}:{(132,1),(133,1),(186,1)}
       162:{3,4,5,7}:{(133,1),(134,1),(136,1),(146,1),(186,1),(187,1),(189,1)}
       163:{1,3,4,5}:{(134,1),(137,1),(147,1),(188,1),(200,1)}
       164:{2,4,5}:{(134,1),(138,1),(148,1)}
       165:{1,4,5,7}:{(135,1),(185,1),(189,1)}
       166:{3,4,6,7}:{(135,1),(136,1),(139,1),(186,1),(189,1),(190,1)}
       167:{1,3,4,7}:{(136,1),(137,1),(140,1),(191,1)}
       168:{2,4,7}:{(136,1),(138,1),(141,1)}
       169:{1,2,4,6}:{(137,1),(138,1),(142,1),(188,1),(191,1),(192,1)}
       170:{1,3,6,7}:{(139,1),(140,1),(144,1),(193,1),(194,1)}
       171:{2,3,6,7}:{(139,1),(141,1),(190,1),(193,1),(195,1)}
       172:{1,2,5,7}:{(140,1),(141,1),(142,1),(191,1),(193,1)}
       173:{1,5,6,7}:{(143,1),(144,1),(199,1)}
       174:{3,6}:{(145,1),(146,1)}
       175:{1,3,5,7}:{(146,1),(147,1),(149,1),(154,1),(194,1),(196,1)}
       176:{2,3,5,7}:{(146,1),(148,1),(150,1),(187,1),(195,1),(196,1)}
       177:{1,2,5}:{(147,1),(148,1),(151,1)}
       178:{1,2,4,7}:{(149,1),(150,1),(151,1),(196,1),(198,1)}
       179:{1,2,3,6}:{(151,1),(159,1),(192,1),(197,1),(198,1)}
       180:{3,5,6}:{(152,1),(153,1),(156,1),(199,1)}
       181:{1,4,6}:{(153,1),(154,1),(194,1),(199,1)}
       182:{1,3,5}:{(155,1),(159,1),(200,1)}
       183:{1,5,7}:{(156,1),(157,1),(199,1)}
       184:{1,3,7}:{(158,1),(159,1)}
       185:{1,4,5,6}:{(161,1),(165,1),(201,1)}
       186:{3,4,6}:{(161,1),(162,1),(174,1),(201,1),(202,1)}
       187:{2,4,5,7}:{(162,1),(164,1),(168,1),(176,1),(202,1),(204,1)}
       188:{1,2,4,5}:{(163,1),(164,1),(169,1),(177,1),(203,1),(207,1)}
       189:{3,5,7}:{(165,1),(166,1),(201,1),(204,1)}
       190:{2,4,6,7}:{(166,1),(168,1),(171,1),(202,1),(204,1)}
       191:{1,2,4,7}:{(167,1),(168,1),(169,1),(172,1),(205,1)}
       192:{2,3,6}:{(169,1),(203,1),(205,1)}
       193:{1,2,6,7}:{(170,1),(171,1),(172,1),(206,1)}
       194:{1,3,6}:{(174,1),(175,1),(181,1),(206,1)}
       195:{2,3,6}:{(174,1),(176,1),(202,1),(206,1)}
       196:{1,2,5,7}:{(175,1),(176,1),(177,1),(178,1),(206,1)}
       197:{1,2,3,5}:{(177,1),(179,1),(182,1),(203,1),(207,1)}
       198:{1,2,3,7}:{(178,1),(179,1),(184,1),(205,1)}
       199:{1,5,6}:{(180,1),(181,1),(183,1)}
       200:{1,3,4}:{(182,1),(207,1)}
       201:{3,5,6}:{(185,1),(186,1),(189,1),(208,1)}
       202:{2,4,6}:{(186,1),(187,1),(195,1),(208,1)}
       203:{2,3,5}:{(188,1),(192,1),(209,1)}
       204:{2,5,7}:{(189,1),(190,1),(208,1)}
       205:{2,3,7}:{(191,1),(192,1)}
       206:{1,2,6}:{(194,1),(195,1),(196,1)}
       207:{1,2,4}:{(197,1),(200,1),(209,1)}
       208:{2,5,6}:{(201,1),(202,1),(204,1)}
       209:{2,3,4}:{(203,1),(207,1)}

1154 :   0:{1,3,4,5}:{(1,1),(2,1),(46,1),(109,1),(126,1)}
         1:{1,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(89,1)}
         2:{1,2,4,5}:{(0,1),(6,1),(8,1),(26,1),(82,1),(95,1)}
         3:{2,3,4,5}:{(9,1),(10,1),(19,1),(64,1),(168,1)}
         4:{3,4,5,6}:{(12,1),(13,1),(14,1),(56,1),(168,1),(212,1),(222,1)}
         5:{1,3,5,6}:{(1,1),(12,1),(15,1),(16,1),(56,1),(109,1),(174,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(15,1),(17,1),(18,1),(61,1)}
         7:{1,3,4,7}:{(1,1),(16,1),(18,1),(127,1)}
         8:{2,3,5}:{(2,1),(17,1),(19,1)}
         9:{2,3,4,6}:{(3,1),(21,1),(22,1),(23,1),(136,1)}
        10:{1,2,4,5}:{(3,1),(22,1),(24,1),(26,1),(82,1),(142,1)}
        11:{1,2,3,5}:{(8,1),(24,1),(25,1),(26,1),(82,1)}
        12:{1,4,5,6}:{(4,1),(5,1),(31,1),(142,1),(197,1)}
        13:{2,4,5,6}:{(4,1),(29,1),(32,1),(191,1),(223,1)}
        14:{3,4,5,7}:{(4,1),(31,1),(32,1),(33,1),(90,1),(209,1)}
        15:{1,2,5,6}:{(5,1),(6,1),(34,1),(35,1),(82,1),(155,1)}
        16:{1,3,5,7}:{(5,1),(7,1),(31,1),(35,1),(36,1),(90,1)}
        17:{2,3,6}:{(6,1),(8,1),(38,1)}
        18:{1,2,4,7}:{(6,1),(7,1),(35,1),(38,1),(96,1)}
        19:{2,3,4}:{(8,1),(26,1)}
        20:{3,4,5,6}:{(39,1),(40,1),(41,1),(101,1),(126,1),(187,1),(230,1)}
        21:{2,3,5,6}:{(9,1),(40,1),(42,1),(43,1),(64,1),(101,1),(132,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(42,1),(44,1),(45,1),(106,1)}
        23:{2,3,4,7}:{(9,1),(43,1),(45,1),(169,1)}
        24:{1,3,5}:{(10,1),(44,1),(46,1)}
        25:{1,2,3,6}:{(11,1),(17,1),(44,1),(50,1),(51,1)}
        26:{1,2,4}:{(11,1),(19,1),(46,1)}
        27:{1,3,4,5}:{(47,1),(52,1),(122,1),(168,1),(179,1)}
        28:{2,3,4,5}:{(48,1),(53,1),(121,1),(126,1),(177,1)}
        29:{2,3,5,6}:{(13,1),(48,1),(54,1),(55,1),(56,1),(177,1),(217,1)}
        30:{1,2,4,5,6}:{(12,1),(13,1),(15,1),(54,1),(56,1),(57,1),(61,1),(116,1),(123,1),(183,1),(190,1),(221,1),(222,1)}
        31:{1,4,5,7}:{(12,1),(14,1),(16,1),(58,1)}
        32:{2,4,5,7}:{(13,1),(14,1),(55,1),(59,1)}
        33:{3,4,6,7}:{(14,1),(58,1),(59,1),(60,1),(128,1),(189,1),(212,1)}
        34:{2,3,5,6}:{(15,1),(17,1),(56,1),(61,1),(62,1),(64,1),(132,1),(190,1)}
        35:{1,2,5,7}:{(15,1),(16,1),(18,1),(62,1),(63,1)}
        36:{1,3,6,7}:{(16,1),(58,1),(63,1),(128,1),(174,1)}
        37:{2,3,4,6}:{(17,1),(19,1),(50,1),(61,1),(64,1),(65,1),(115,1),(132,1)}
        38:{2,3,7}:{(17,1),(18,1)}
        39:{1,4,5,6}:{(20,1),(66,1),(68,1),(157,1),(206,1)}
        40:{2,4,5,6}:{(20,1),(21,1),(69,1),(95,1),(163,1)}
        41:{3,4,5,7}:{(20,1),(68,1),(69,1),(70,1),(137,1),(226,1)}
        42:{1,2,5,6}:{(21,1),(22,1),(71,1),(72,1),(82,1),(155,1)}
        43:{2,3,5,7}:{(21,1),(23,1),(69,1),(72,1),(73,1),(137,1)}
        44:{1,3,6}:{(22,1),(24,1),(75,1)}
        45:{1,2,4,7}:{(22,1),(23,1),(72,1),(75,1),(143,1)}
        46:{1,3,4}:{(24,1),(26,1)}
        47:{1,3,4,6}:{(27,1),(66,1),(76,1),(77,1),(136,1)}
        48:{2,3,4,6}:{(28,1),(29,1),(78,1),(79,1),(89,1)}
        49:{1,2,3,5,6}:{(25,1),(34,1),(71,1),(80,1),(81,1),(82,1),(86,1),(133,1),(146,1),(151,1),(155,1),(199,1),(203,1),(205,1),(227,1)}
        50:{1,2,4,6}:{(25,1),(26,1),(37,1),(74,1),(82,1),(83,1),(155,1)}
        51:{1,2,3,7}:{(25,1),(38,1),(75,1),(83,1)}
        52:{1,2,4,5}:{(27,1),(76,1),(84,1),(156,1),(191,1),(199,1)}
        53:{1,2,4,5}:{(28,1),(78,1),(85,1),(156,1),(157,1),(199,1)}
        54:{1,2,5,6}:{(29,1),(78,1),(86,1),(87,1),(199,1),(227,1)}
        55:{2,3,5,7}:{(29,1),(32,1),(79,1),(87,1),(88,1),(90,1)}
        56:{3,5,6}:{(30,1),(89,1),(90,1),(151,1),(203,1)}
        57:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(87,1),(90,1),(91,1),(96,1),(158,1),(164,1),(207,1),(209,1)}
        58:{1,4,6,7}:{(31,1),(33,1),(36,1),(92,1),(197,1)}
        59:{2,4,6,7}:{(32,1),(33,1),(88,1),(93,1),(223,1)}
        60:{3,5,6,7}:{(33,1),(92,1),(93,1),(94,1),(225,1)}
        61:{2,4,6}:{(34,1),(89,1),(95,1),(96,1)}
        62:{2,3,5,7}:{(34,1),(35,1),(38,1),(90,1),(96,1),(97,1),(164,1)}
        63:{1,2,6,7}:{(35,1),(36,1),(97,1),(155,1)}
        64:{2,3,5}:{(37,1),(82,1),(95,1),(151,1)}
        65:{2,3,4,7}:{(37,1),(38,1),(83,1),(96,1),(98,1),(152,1)}
        66:{1,3,5,6}:{(39,1),(47,1),(99,1),(100,1),(101,1),(179,1),(218,1)}
        67:{1,2,4,5,6}:{(39,1),(40,1),(42,1),(99,1),(101,1),(102,1),(106,1),(116,1),(165,1),(183,1),(215,1),(229,1),(230,1)}
        68:{1,4,5,7}:{(39,1),(41,1),(100,1),(103,1)}
        69:{2,4,5,7}:{(40,1),(41,1),(43,1),(104,1)}
        70:{3,4,6,7}:{(41,1),(103,1),(104,1),(105,1),(170,1),(187,1),(214,1)}
        71:{1,3,5,6}:{(42,1),(44,1),(101,1),(106,1),(107,1),(109,1),(174,1),(215,1)}
        72:{1,2,5,7}:{(42,1),(43,1),(45,1),(107,1),(108,1)}
        73:{2,3,6,7}:{(43,1),(104,1),(108,1),(132,1),(170,1)}
        74:{1,3,4,6}:{(44,1),(46,1),(50,1),(106,1),(109,1),(110,1),(115,1),(174,1)}
        75:{1,3,7}:{(44,1),(45,1)}
        76:{1,2,4,6}:{(47,1),(52,1),(99,1),(111,1),(112,1),(165,1)}
        77:{1,3,4,7}:{(47,1),(100,1),(112,1),(169,1)}
        78:{1,2,4,6}:{(48,1),(53,1),(54,1),(113,1),(114,1),(123,1)}
        79:{2,3,4,7}:{(48,1),(55,1),(114,1),(127,1)}
        80:{1,2,4,6}:{(49,1),(61,1),(106,1),(115,1),(116,1),(117,1),(123,1),(165,1)}
        81:{1,2,3,5,7}:{(49,1),(51,1),(62,1),(107,1),(117,1),(118,1),(119,1),(124,1),(166,1),(176,1),(181,1),(184,1),(216,1)}
        82:{1,2,5}:{(50,1),(64,1),(109,1)}
        83:{1,2,4,7}:{(50,1),(51,1),(65,1),(110,1),(119,1)}
        84:{2,3,5}:{(52,1),(111,1),(121,1)}
        85:{1,3,5}:{(53,1),(113,1),(122,1)}
        86:{1,3,5,6}:{(54,1),(56,1),(113,1),(123,1),(124,1),(179,1),(218,1),(221,1)}
        87:{1,2,5,7}:{(54,1),(55,1),(114,1),(124,1),(125,1)}
        88:{2,3,6,7}:{(55,1),(59,1),(125,1),(128,1),(217,1)}
        89:{3,4,6}:{(56,1),(61,1),(123,1),(126,1),(127,1)}
        90:{3,5,7}:{(56,1),(57,1),(127,1),(128,1)}
        91:{1,2,4,6,7}:{(57,1),(58,1),(59,1),(63,1),(125,1),(128,1),(129,1),(131,1),(183,1),(186,1),(189,1)}
        92:{1,5,6,7}:{(58,1),(60,1),(215,1)}
        93:{2,5,6,7}:{(59,1),(60,1),(229,1)}
        94:{4,5,6,7}:{(60,1),(189,1),(230,1)}
        95:{2,4,5}:{(61,1),(64,1),(126,1)}
        96:{2,4,7}:{(61,1),(62,1),(127,1)}
        97:{2,3,6,7}:{(62,1),(63,1),(128,1),(131,1),(132,1)}
        98:{2,3,5,7}:{(64,1),(65,1),(119,1),(130,1),(132,1),(181,1)}
        99:{1,2,5,6}:{(66,1),(76,1),(133,1),(134,1),(199,1),(227,1)}
       100:{1,3,5,7}:{(66,1),(68,1),(77,1),(134,1),(135,1),(137,1)}
       101:{3,5,6}:{(67,1),(136,1),(137,1),(151,1),(203,1)}
       102:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(72,1),(134,1),(137,1),(138,1),(143,1),(192,1),(198,1),(224,1),(226,1)}
       103:{1,4,6,7}:{(68,1),(70,1),(135,1),(139,1),(206,1)}
       104:{2,4,6,7}:{(69,1),(70,1),(73,1),(140,1),(163,1)}
       105:{3,5,6,7}:{(70,1),(139,1),(140,1),(141,1),(208,1)}
       106:{1,4,6}:{(71,1),(136,1),(142,1),(143,1)}
       107:{1,3,5,7}:{(71,1),(72,1),(75,1),(137,1),(143,1),(144,1),(198,1)}
       108:{1,2,6,7}:{(72,1),(73,1),(144,1),(155,1)}
       109:{1,3,5}:{(74,1),(82,1),(142,1),(151,1)}
       110:{1,3,4,7}:{(74,1),(75,1),(83,1),(143,1),(145,1),(152,1)}
       111:{2,3,6}:{(76,1),(84,1),(148,1)}
       112:{1,2,4,7}:{(76,1),(77,1),(134,1),(148,1),(192,1)}
       113:{1,3,6}:{(78,1),(85,1),(150,1)}
       114:{1,2,4,7}:{(78,1),(79,1),(87,1),(150,1),(158,1)}
       115:{3,4,6}:{(80,1),(151,1),(152,1),(203,1)}
       116:{1,2,4,5}:{(80,1),(82,1),(95,1),(142,1),(151,1),(157,1),(191,1),(199,1)}
       117:{1,2,4,7}:{(80,1),(81,1),(96,1),(143,1),(152,1),(158,1),(192,1)}
       118:{1,2,3,6,7}:{(81,1),(97,1),(144,1),(154,1),(155,1),(159,1),(193,1),(203,1),(227,1)}
       119:{1,2,5,7}:{(82,1),(83,1),(98,1),(145,1),(155,1)}
       120:{1,2,3,5}:{(84,1),(85,1),(146,1),(156,1),(199,1)}
       121:{2,3,4}:{(84,1),(156,1)}
       122:{1,3,4}:{(85,1),(156,1)}
       123:{1,4,6}:{(86,1),(89,1),(157,1),(158,1)}
       124:{1,3,5,7}:{(86,1),(87,1),(90,1),(150,1),(158,1),(159,1),(207,1)}
       125:{1,2,6,7}:{(87,1),(88,1),(159,1),(227,1)}
       126:{3,4,5}:{(89,1),(95,1),(151,1),(157,1)}
       127:{3,4,7}:{(89,1),(90,1),(96,1),(158,1)}
       128:{3,6,7}:{(90,1),(91,1),(203,1)}
       129:{1,2,5,6,7}:{(91,1),(92,1),(93,1),(162,1),(164,1),(205,1),(207,1)}
       130:{2,4,5,7}:{(95,1),(96,1),(98,1),(160,1),(163,1),(164,1)}
       131:{2,4,6,7}:{(96,1),(97,1),(161,1),(163,1),(164,1)}
       132:{2,3,6}:{(98,1),(155,1),(163,1),(203,1)}
       133:{2,3,5,6}:{(99,1),(101,1),(111,1),(165,1),(166,1),(177,1),(217,1),(229,1)}
       134:{1,2,5,7}:{(99,1),(100,1),(112,1),(166,1),(167,1)}
       135:{1,3,6,7}:{(100,1),(103,1),(167,1),(170,1),(218,1)}
       136:{3,4,6}:{(101,1),(106,1),(165,1),(168,1),(169,1)}
       137:{3,5,7}:{(101,1),(102,1),(169,1),(170,1)}
       138:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(108,1),(167,1),(170,1),(171,1),(173,1),(183,1),(211,1),(214,1)}
       139:{1,5,6,7}:{(103,1),(105,1),(221,1)}
       140:{2,5,6,7}:{(104,1),(105,1),(190,1)}
       141:{4,5,6,7}:{(105,1),(214,1),(222,1)}
       142:{1,4,5}:{(106,1),(109,1),(168,1)}
       143:{1,4,7}:{(106,1),(107,1),(169,1)}
       144:{1,3,6,7}:{(107,1),(108,1),(170,1),(173,1),(174,1)}
       145:{1,3,5,7}:{(109,1),(110,1),(119,1),(172,1),(174,1),(181,1)}
       146:{1,2,3,6}:{(111,1),(113,1),(120,1),(175,1),(176,1)}
       147:{2,3,4,6}:{(111,1),(115,1),(121,1),(165,1),(175,1),(177,1),(178,1),(217,1)}
       148:{2,3,7}:{(111,1),(112,1)}
       149:{1,3,4,6}:{(113,1),(115,1),(122,1),(123,1),(175,1),(179,1),(180,1),(218,1)}
       150:{1,3,7}:{(113,1),(114,1)}
       151:{3,5}:{(115,1),(116,1)}
       152:{3,4,7}:{(115,1),(117,1),(181,1)}
       153:{1,2,4,5,7}:{(116,1),(117,1),(119,1),(130,1),(172,1),(181,1),(183,1),(184,1),(185,1),(210,1),(216,1),(220,1)}
       154:{1,2,4,6,7}:{(117,1),(118,1),(131,1),(173,1),(182,1),(183,1),(184,1),(186,1),(211,1)}
       155:{1,2,6}:{(119,1),(132,1),(174,1)}
       156:{1,2,4}:{(120,1),(121,1),(122,1)}
       157:{1,4,5}:{(123,1),(126,1),(179,1)}
       158:{1,4,7}:{(123,1),(124,1),(127,1)}
       159:{1,3,6,7}:{(124,1),(125,1),(128,1),(186,1),(218,1)}
       160:{3,4,5,7}:{(126,1),(127,1),(130,1),(181,1),(185,1),(187,1),(188,1),(220,1)}
       161:{3,4,6,7}:{(127,1),(128,1),(131,1),(186,1),(187,1),(188,1),(189,1)}
       162:{3,5,6,7}:{(128,1),(129,1),(188,1),(189,1),(219,1)}
       163:{2,4,6}:{(130,1),(132,1),(187,1),(190,1)}
       164:{2,5,7}:{(131,1),(188,1),(190,1)}
       165:{2,4,6}:{(133,1),(136,1),(191,1),(192,1)}
       166:{2,3,5,7}:{(133,1),(134,1),(137,1),(148,1),(192,1),(193,1),(224,1)}
       167:{1,2,6,7}:{(134,1),(135,1),(193,1),(227,1)}
       168:{3,4,5}:{(136,1),(142,1),(151,1),(191,1)}
       169:{3,4,7}:{(136,1),(137,1),(143,1),(192,1)}
       170:{3,6,7}:{(137,1),(138,1),(203,1)}
       171:{1,2,5,6,7}:{(138,1),(139,1),(140,1),(196,1),(198,1),(205,1),(224,1)}
       172:{1,4,5,7}:{(142,1),(143,1),(145,1),(194,1),(197,1),(198,1)}
       173:{1,4,6,7}:{(143,1),(144,1),(195,1),(197,1),(198,1)}
       174:{1,3,6}:{(145,1),(155,1),(197,1),(203,1)}
       175:{1,2,4,6}:{(146,1),(147,1),(149,1),(156,1),(199,1),(200,1),(227,1)}
       176:{1,2,3,7}:{(146,1),(148,1),(150,1),(200,1)}
       177:{2,3,5}:{(147,1),(151,1),(191,1),(199,1)}
       178:{2,3,4,7}:{(147,1),(148,1),(152,1),(192,1),(200,1),(201,1)}
       179:{1,3,5}:{(149,1),(151,1),(157,1),(199,1)}
       180:{1,3,4,7}:{(149,1),(150,1),(152,1),(158,1),(200,1),(202,1)}
       181:{3,5,7}:{(151,1),(152,1),(153,1),(203,1)}
       182:{3,4,6,7}:{(152,1),(154,1),(203,1),(204,1),(228,1)}
       183:{1,2,4,6}:{(153,1),(155,1),(163,1),(197,1),(203,1),(205,1),(206,1),(223,1),(227,1),(228,1)}
       184:{1,2,5,7}:{(154,1),(164,1),(198,1),(204,1),(205,1),(207,1),(224,1)}
       185:{1,4,5,7}:{(157,1),(158,1),(160,1),(202,1),(206,1),(207,1)}
       186:{1,4,6,7}:{(158,1),(159,1),(161,1),(206,1),(207,1)}
       187:{3,4,6}:{(160,1),(163,1),(203,1),(206,1),(208,1),(228,1)}
       188:{3,5,7}:{(161,1),(164,1),(207,1),(208,1),(209,1)}
       189:{4,6,7}:{(162,1),(209,1),(228,1)}
       190:{2,5,6}:{(163,1),(164,1),(208,1)}
       191:{2,4,5}:{(165,1),(168,1),(177,1)}
       192:{2,4,7}:{(165,1),(166,1),(169,1)}
       193:{2,3,6,7}:{(166,1),(167,1),(170,1),(211,1),(217,1)}
       194:{3,4,5,7}:{(168,1),(169,1),(172,1),(181,1),(210,1),(212,1),(213,1),(220,1)}
       195:{3,4,6,7}:{(169,1),(170,1),(173,1),(211,1),(212,1),(213,1),(214,1)}
       196:{3,5,6,7}:{(170,1),(171,1),(213,1),(214,1),(219,1)}
       197:{1,4,6}:{(172,1),(174,1),(212,1),(215,1)}
       198:{1,5,7}:{(173,1),(213,1),(215,1)}
       199:{1,2,5}:{(175,1),(177,1),(179,1)}
       200:{1,2,4,7}:{(175,1),(176,1),(178,1),(180,1),(216,1)}
       201:{2,3,5,7}:{(177,1),(178,1),(181,1),(210,1),(216,1),(217,1)}
       202:{1,3,5,7}:{(179,1),(180,1),(181,1),(185,1),(216,1),(218,1)}
       203:{3,6}:{(181,1),(183,1)}
       204:{3,5,7}:{(182,1),(184,1),(219,1),(220,1)}
       205:{1,2,5,6}:{(183,1),(184,1),(190,1),(215,1),(219,1),(221,1),(229,1)}
       206:{1,4,6}:{(185,1),(187,1),(218,1),(221,1)}
       207:{1,5,7}:{(186,1),(188,1),(221,1)}
       208:{3,5,6}:{(187,1),(188,1),(190,1),(221,1),(222,1)}
       209:{4,5,7}:{(188,1),(189,1),(222,1)}
       210:{2,4,5,7}:{(191,1),(192,1),(194,1),(201,1),(223,1),(224,1)}
       211:{2,4,6,7}:{(192,1),(193,1),(195,1),(223,1),(224,1)}
       212:{3,4,6}:{(194,1),(197,1),(203,1),(223,1),(225,1),(228,1)}
       213:{3,5,7}:{(195,1),(198,1),(224,1),(225,1),(226,1)}
       214:{4,6,7}:{(196,1),(226,1),(228,1)}
       215:{1,5,6}:{(197,1),(198,1),(225,1)}
       216:{1,2,5,7}:{(199,1),(200,1),(201,1),(202,1),(227,1)}
       217:{2,3,6}:{(201,1),(203,1),(223,1),(227,1)}
       218:{1,3,6}:{(202,1),(203,1),(206,1),(227,1)}
       219:{3,5,6}:{(203,1),(204,1),(205,1),(228,1)}
       220:{4,5,7}:{(204,1),(228,1)}
       221:{1,5,6}:{(206,1),(207,1),(208,1)}
       222:{4,5,6}:{(208,1),(209,1),(228,1)}
       223:{2,4,6}:{(210,1),(212,1),(217,1),(229,1)}
       224:{2,5,7}:{(211,1),(213,1),(229,1)}
       225:{3,5,6}:{(212,1),(213,1),(215,1),(229,1),(230,1)}
       226:{4,5,7}:{(213,1),(214,1),(230,1)}
       227:{1,2,6}:{(216,1),(217,1),(218,1)}
       228:{4,6}:{(219,1),(220,1)}
       229:{2,5,6}:{(223,1),(224,1),(225,1)}
       230:{4,5,6}:{(225,1),(226,1),(228,1)}

1155 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(15,1),(19,1),(42,1),(46,1),(77,1),(78,1),(79,1),(99,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(66,1),(67,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(29,1),(30,1),(34,1),(66,1),(67,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(65,1),(90,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(12,1),(16,1),(47,1),(96,1)}
         5:{3,4,6}:{(3,1),(11,1),(13,1),(14,1),(15,1),(51,1),(81,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(16,1),(48,1),(49,1),(52,1),(79,1)}
         7:{3,5,7}:{(2,1),(3,1),(13,1),(16,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(20,1),(51,1),(53,1),(75,1),(77,1),(94,1),(96,1),(103,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(39,1),(51,1),(55,1),(73,1),(78,1),(84,1),(96,1),(99,1)}
        10:{1,3,4,6}:{(14,1),(20,1),(21,1),(22,1),(51,1),(53,1),(81,1),(97,1)}
        11:{3,4,5}:{(5,1),(25,1),(26,1),(65,1),(102,1)}
        12:{4,6,7}:{(4,1),(27,1),(101,1)}
        13:{3,4,7}:{(5,1),(7,1),(29,1),(30,1),(69,1)}
        14:{1,4,6}:{(5,1),(8,1),(25,1),(29,1),(88,1),(101,1)}
        15:{2,4,6}:{(5,1),(9,1),(26,1),(30,1),(72,1),(101,1)}
        16:{3,6,7}:{(6,1),(7,1),(90,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(29,1),(32,1),(34,1),(66,1),(69,1),(92,1)}
        18:{2,3,5,7}:{(7,1),(9,1),(30,1),(33,1),(34,1),(67,1),(69,1),(92,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(36,1),(58,1),(70,1),(86,1)}
        20:{1,3,5}:{(10,1),(25,1),(36,1),(65,1),(102,1)}
        21:{1,3,4,7}:{(10,1),(29,1),(35,1),(37,1),(69,1),(91,1)}
        22:{1,2,4,6}:{(10,1),(36,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        23:{2,3,4,6}:{(15,1),(39,1),(40,1),(41,1),(51,1),(73,1),(81,1),(97,1)}
        24:{3,4,5,7}:{(11,1),(13,1),(43,1),(44,1),(45,1),(47,1),(80,1),(98,1),(104,1)}
        25:{1,4,5}:{(11,1),(14,1),(20,1),(103,1),(104,1)}
        26:{2,4,5}:{(11,1),(15,1),(39,1),(99,1),(104,1)}
        27:{4,5,7}:{(12,1),(42,1),(47,1),(98,1),(104,1)}
        28:{3,4,6,7}:{(12,1),(13,1),(16,1),(43,1),(47,1),(48,1),(49,1),(83,1),(97,1),(98,1)}
        29:{1,4,7}:{(13,1),(14,1),(17,1),(98,1)}
        30:{2,4,7}:{(13,1),(15,1),(18,1),(98,1)}
        31:{1,2,4,6}:{(14,1),(15,1),(19,1),(46,1),(50,1),(51,1)}
        32:{1,3,6,7}:{(16,1),(17,1),(48,1),(52,1),(53,1),(83,1),(94,1)}
        33:{2,3,6,7}:{(16,1),(18,1),(49,1),(52,1),(73,1),(83,1),(84,1)}
        34:{1,2,5,7}:{(17,1),(18,1),(19,1),(50,1),(52,1)}
        35:{1,3,5,7}:{(20,1),(21,1),(44,1),(53,1),(54,1),(80,1)}
        36:{1,2,5}:{(20,1),(22,1),(55,1),(99,1)}
        37:{1,2,4,7}:{(21,1),(22,1),(54,1),(56,1),(85,1)}
        38:{2,3,6}:{(22,1),(51,1),(55,1),(56,1)}
        39:{2,3,5}:{(23,1),(26,1),(58,1),(65,1),(102,1)}
        40:{2,3,4,7}:{(23,1),(30,1),(57,1),(59,1),(69,1),(91,1)}
        41:{1,2,4,6}:{(23,1),(58,1),(59,1),(60,1),(86,1),(88,1),(100,1)}
        42:{4,5,6}:{(27,1),(61,1),(101,1)}
        43:{3,4,6}:{(24,1),(61,1),(62,1),(63,1),(90,1),(101,1)}
        44:{1,4,5,7}:{(24,1),(25,1),(29,1),(35,1),(62,1),(66,1)}
        45:{2,4,5,7}:{(24,1),(26,1),(30,1),(57,1),(63,1),(67,1)}
        46:{1,2,4,5}:{(25,1),(26,1),(31,1),(36,1),(58,1),(65,1),(72,1),(88,1)}
        47:{3,5,7}:{(27,1),(28,1),(61,1),(66,1),(67,1),(102,1)}
        48:{1,4,6,7}:{(28,1),(29,1),(32,1),(62,1),(66,1),(100,1)}
        49:{2,4,6,7}:{(28,1),(30,1),(33,1),(63,1),(67,1),(93,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(69,1)}
        51:{3,6}:{(31,1),(65,1),(69,1)}
        52:{1,2,6,7}:{(32,1),(33,1),(34,1),(70,1),(86,1)}
        53:{1,3,6}:{(35,1),(62,1),(70,1),(90,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(37,1),(70,1),(71,1)}
        55:{2,3,5}:{(36,1),(38,1),(65,1),(72,1)}
        56:{2,3,7}:{(37,1),(38,1),(69,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(45,1),(73,1),(74,1),(80,1)}
        58:{1,2,5}:{(39,1),(41,1),(75,1),(103,1)}
        59:{1,2,4,7}:{(40,1),(41,1),(74,1),(76,1),(95,1)}
        60:{1,3,6}:{(41,1),(51,1),(75,1),(76,1)}
        61:{3,5,6}:{(42,1),(43,1),(47,1),(77,1),(78,1)}
        62:{1,4,6}:{(43,1),(44,1),(53,1),(77,1)}
        63:{2,4,6}:{(43,1),(45,1),(73,1),(78,1)}
        64:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(54,1),(74,1),(79,1),(80,1),(82,1),(85,1),(95,1),(98,1),(99,1),(103,1),(104,1)}
        65:{3,5}:{(46,1),(51,1),(81,1)}
        66:{1,5,7}:{(47,1),(48,1),(77,1),(103,1)}
        67:{2,5,7}:{(47,1),(49,1),(78,1),(99,1)}
        68:{1,2,4,6,7}:{(48,1),(49,1),(50,1),(52,1),(79,1),(82,1),(83,1),(98,1)}
        69:{3,7}:{(50,1),(51,1)}
        70:{1,2,6}:{(53,1),(54,1),(84,1)}
        71:{2,3,5,7}:{(54,1),(55,1),(56,1),(80,1),(84,1),(85,1),(99,1)}
        72:{2,4}:{(55,1),(81,1)}
        73:{2,3,6}:{(57,1),(63,1),(86,1),(90,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(86,1),(87,1)}
        75:{1,3,5}:{(58,1),(60,1),(65,1),(88,1)}
        76:{1,3,7}:{(59,1),(60,1),(69,1)}
        77:{1,5,6}:{(61,1),(62,1),(66,1)}
        78:{2,5,6}:{(61,1),(63,1),(67,1)}
        79:{1,2,4,6}:{(62,1),(63,1),(64,1),(70,1),(86,1),(89,1),(90,1),(93,1),(100,1),(101,1)}
        80:{3,5,7}:{(64,1),(65,1),(69,1),(90,1),(91,1),(102,1)}
        81:{3,4}:{(65,1),(72,1),(88,1)}
        82:{1,2,5,7}:{(66,1),(67,1),(68,1),(89,1),(92,1)}
        83:{3,6,7}:{(68,1),(69,1),(90,1),(92,1)}
        84:{2,3,6}:{(70,1),(71,1),(90,1),(93,1)}
        85:{2,4,7}:{(71,1),(72,1),(91,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{1,3,5,7}:{(74,1),(75,1),(76,1),(80,1),(94,1),(95,1),(103,1)}
        88:{1,4}:{(75,1),(81,1)}
        89:{1,2,5,6}:{(77,1),(78,1),(79,1),(82,1),(96,1),(99,1),(103,1)}
        90:{3,6}:{(79,1),(80,1)}
        91:{3,4,7}:{(80,1),(81,1),(85,1),(95,1),(97,1),(98,1)}
        92:{3,5,7}:{(82,1),(83,1),(96,1),(98,1)}
        93:{2,4,6}:{(84,1),(85,1),(97,1),(99,1)}
        94:{1,3,6}:{(86,1),(87,1),(90,1),(100,1)}
        95:{1,4,7}:{(87,1),(88,1),(91,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(92,1),(101,1),(102,1)}
        97:{3,4,6}:{(90,1),(91,1),(93,1),(100,1),(101,1),(102,1)}
        98:{4,7}:{(92,1),(101,1)}
        99:{2,5}:{(93,1),(102,1)}
       100:{1,4,6}:{(94,1),(95,1),(97,1),(103,1)}
       101:{4,6}:{(96,1),(98,1),(104,1)}
       102:{3,5}:{(97,1),(99,1),(103,1),(104,1)}
       103:{1,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1156 :   0:{4,5,6,7}:{(3,1),(58,1),(226,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(6,1),(29,1),(107,1),(171,1),(210,1)}
         2:{2,3,4,5}:{(7,1),(8,1),(65,1),(70,1),(120,1)}
         3:{3,5,6,7}:{(0,1),(9,1),(10,1),(11,1),(221,1)}
         4:{3,4,5,7}:{(1,1),(9,1),(12,1),(13,1),(43,1),(80,1)}
         5:{1,4,5,6}:{(1,1),(12,1),(14,1),(185,1),(216,1)}
         6:{2,4,5,6}:{(1,1),(13,1),(15,1),(149,1),(197,1)}
         7:{2,3,4,6}:{(2,1),(15,1),(17,1),(18,1),(46,1)}
         8:{1,2,4,5}:{(2,1),(18,1),(19,1),(50,1),(87,1),(92,1)}
         9:{3,4,6,7}:{(3,1),(4,1),(21,1),(22,1),(57,1),(58,1),(210,1)}
        10:{1,5,6,7}:{(3,1),(21,1),(224,1)}
        11:{2,5,6,7}:{(3,1),(22,1),(213,1)}
        12:{1,4,5,7}:{(4,1),(5,1),(21,1),(24,1)}
        13:{2,4,5,7}:{(4,1),(6,1),(22,1),(25,1)}
        14:{1,3,5,6}:{(5,1),(20,1),(24,1),(27,1),(29,1),(159,1),(203,1)}
        15:{2,3,5,6}:{(6,1),(7,1),(25,1),(28,1),(29,1),(120,1),(175,1)}
        16:{1,2,4,5,6}:{(5,1),(6,1),(26,1),(27,1),(28,1),(29,1),(63,1),(64,1),(107,1),(113,1),(164,1),(165,1),(168,1)}
        17:{2,3,4,7}:{(7,1),(25,1),(30,1),(61,1)}
        18:{1,2,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(64,1)}
        19:{1,3,5}:{(8,1),(31,1),(33,1)}
        20:{1,3,4,6}:{(14,1),(34,1),(35,1),(36,1),(46,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(12,1),(37,1),(216,1)}
        22:{2,4,6,7}:{(9,1),(11,1),(13,1),(38,1),(197,1)}
        23:{1,2,5,6,7}:{(10,1),(11,1),(39,1),(40,1),(133,1),(134,1),(189,1)}
        24:{1,3,5,7}:{(12,1),(14,1),(35,1),(37,1),(41,1),(43,1)}
        25:{2,3,5,7}:{(13,1),(15,1),(17,1),(38,1),(42,1),(43,1)}
        26:{1,2,4,5,7}:{(12,1),(13,1),(16,1),(39,1),(41,1),(42,1),(43,1),(80,1),(82,1),(83,1),(133,1),(134,1)}
        27:{1,2,5,6}:{(14,1),(36,1),(41,1),(44,1),(130,1),(183,1)}
        28:{1,2,5,6}:{(15,1),(18,1),(42,1),(45,1),(92,1),(147,1)}
        29:{3,5,6}:{(16,1),(43,1),(46,1),(142,1),(193,1)}
        30:{1,2,4,7}:{(17,1),(18,1),(42,1),(47,1),(83,1)}
        31:{1,3,6}:{(18,1),(19,1),(47,1)}
        32:{1,2,3,5}:{(19,1),(48,1),(50,1),(92,1),(94,1)}
        33:{1,3,4}:{(19,1),(50,1)}
        34:{1,3,4,5}:{(20,1),(52,1),(65,1),(153,1),(159,1)}
        35:{1,3,4,7}:{(20,1),(24,1),(53,1),(61,1)}
        36:{1,2,4,6}:{(20,1),(27,1),(52,1),(53,1),(54,1),(63,1)}
        37:{1,3,6,7}:{(21,1),(24,1),(55,1),(57,1),(203,1)}
        38:{2,3,6,7}:{(22,1),(25,1),(56,1),(57,1),(175,1)}
        39:{1,2,4,6,7}:{(21,1),(22,1),(23,1),(26,1),(55,1),(56,1),(57,1),(58,1),(104,1),(105,1),(168,1)}
        40:{3,5,6,7}:{(23,1),(57,1),(58,1),(106,1),(208,1)}
        41:{1,2,5,7}:{(24,1),(27,1),(53,1),(55,1),(59,1)}
        42:{1,2,5,7}:{(25,1),(28,1),(30,1),(56,1),(60,1)}
        43:{3,5,7}:{(26,1),(29,1),(57,1),(61,1)}
        44:{2,3,5,6}:{(27,1),(29,1),(54,1),(59,1),(63,1),(102,1),(158,1),(164,1)}
        45:{1,3,5,6}:{(28,1),(29,1),(31,1),(60,1),(64,1),(69,1),(119,1),(165,1)}
        46:{3,4,6}:{(29,1),(61,1),(63,1),(64,1),(65,1)}
        47:{1,3,7}:{(30,1),(31,1)}
        48:{1,2,3,6}:{(31,1),(32,1),(66,1),(68,1),(123,1)}
        49:{1,3,4,6}:{(31,1),(33,1),(64,1),(67,1),(68,1),(69,1),(112,1),(119,1)}
        50:{1,2,4}:{(32,1),(33,1),(70,1)}
        51:{1,3,4,5}:{(33,1),(69,1),(71,1),(72,1),(171,1)}
        52:{1,2,4,5}:{(34,1),(36,1),(73,1),(86,1),(125,1),(130,1)}
        53:{1,2,4,7}:{(35,1),(36,1),(41,1),(74,1),(82,1)}
        54:{2,3,6}:{(36,1),(73,1),(74,1)}
        55:{1,2,6,7}:{(37,1),(41,1),(77,1),(183,1)}
        56:{1,2,6,7}:{(38,1),(42,1),(78,1),(147,1)}
        57:{3,6,7}:{(39,1),(43,1),(193,1)}
        58:{4,6,7}:{(40,1),(80,1),(219,1)}
        59:{2,3,5,7}:{(41,1),(43,1),(44,1),(74,1),(77,1),(82,1),(133,1)}
        60:{1,3,5,7}:{(42,1),(43,1),(45,1),(47,1),(78,1),(83,1),(134,1)}
        61:{3,4,7}:{(43,1),(46,1),(82,1),(83,1)}
        62:{1,2,3,5,6}:{(44,1),(45,1),(48,1),(75,1),(81,1),(85,1),(92,1),(130,1),(142,1),(147,1),(150,1),(183,1),(186,1),(189,1),(193,1)}
        63:{2,4,6}:{(44,1),(46,1),(82,1),(86,1)}
        64:{1,4,6}:{(45,1),(46,1),(83,1),(87,1)}
        65:{3,4,5}:{(46,1),(86,1),(87,1),(142,1)}
        66:{1,2,3,7}:{(47,1),(48,1),(89,1),(152,1)}
        67:{1,3,4,7}:{(47,1),(49,1),(83,1),(89,1),(90,1),(137,1)}
        68:{1,2,4,6}:{(48,1),(49,1),(50,1),(89,1),(91,1),(92,1),(147,1)}
        69:{1,3,5}:{(49,1),(87,1),(92,1),(142,1)}
        70:{2,3,4}:{(50,1),(94,1)}
        71:{1,2,4,5}:{(50,1),(51,1),(92,1),(94,1),(95,1),(149,1)}
        72:{1,3,4,6}:{(51,1),(93,1),(95,1),(96,1),(195,1)}
        73:{2,3,5}:{(52,1),(54,1),(98,1)}
        74:{2,3,7}:{(53,1),(54,1)}
        75:{1,2,3,6}:{(54,1),(97,1),(99,1),(101,1),(200,1)}
        76:{2,3,4,6}:{(54,1),(63,1),(98,1),(100,1),(101,1),(102,1),(112,1),(158,1)}
        77:{2,3,6,7}:{(55,1),(57,1),(59,1),(104,1),(158,1)}
        78:{1,3,6,7}:{(56,1),(57,1),(60,1),(105,1),(119,1)}
        79:{3,4,6,7}:{(57,1),(58,1),(61,1),(104,1),(105,1),(106,1),(111,1)}
        80:{4,5,7}:{(58,1),(106,1),(107,1)}
        81:{1,2,3,5,7}:{(59,1),(60,1),(62,1),(66,1),(99,1),(103,1),(108,1),(118,1),(157,1),(163,1),(167,1),(178,1),(206,1)}
        82:{2,4,7}:{(59,1),(61,1),(63,1)}
        83:{1,4,7}:{(60,1),(61,1),(64,1)}
        84:{3,4,5,7}:{(61,1),(65,1),(106,1),(109,1),(110,1),(111,1),(167,1),(207,1)}
        85:{1,2,4,6}:{(62,1),(63,1),(64,1),(108,1),(112,1),(113,1),(177,1),(205,1)}
        86:{2,4,5}:{(63,1),(65,1),(102,1)}
        87:{1,4,5}:{(64,1),(65,1),(69,1)}
        88:{3,4,5,6}:{(65,1),(111,1),(114,1),(115,1),(116,1),(172,1),(226,1)}
        89:{1,2,4,7}:{(66,1),(67,1),(68,1),(117,1),(118,1)}
        90:{1,3,5,7}:{(67,1),(69,1),(110,1),(118,1),(119,1),(167,1)}
        91:{2,3,4,6}:{(68,1),(70,1),(112,1),(117,1),(120,1),(123,1),(175,1),(177,1)}
        92:{1,2,5}:{(68,1),(69,1),(120,1)}
        93:{1,3,5,6}:{(69,1),(72,1),(115,1),(119,1),(121,1),(122,1),(172,1)}
        94:{2,3,5}:{(70,1),(71,1),(123,1)}
        95:{1,2,4,6}:{(71,1),(72,1),(121,1),(123,1),(124,1),(177,1)}
        96:{1,3,4,7}:{(72,1),(122,1),(124,1),(212,1)}
        97:{1,2,3,5}:{(73,1),(75,1),(125,1),(130,1),(179,1)}
        98:{2,3,4}:{(73,1),(125,1)}
        99:{1,2,3,7}:{(74,1),(75,1),(127,1),(215,1)}
       100:{2,3,4,7}:{(74,1),(76,1),(82,1),(127,1),(128,1),(137,1)}
       101:{1,2,4,6}:{(75,1),(76,1),(125,1),(127,1),(129,1),(130,1),(183,1)}
       102:{2,3,5}:{(76,1),(86,1),(130,1),(142,1)}
       103:{1,2,3,6,7}:{(77,1),(78,1),(81,1),(132,1),(147,1),(183,1),(193,1),(198,1),(217,1)}
       104:{2,4,6,7}:{(77,1),(79,1),(82,1),(133,1),(139,1)}
       105:{1,4,6,7}:{(78,1),(79,1),(83,1),(134,1),(140,1)}
       106:{3,5,7}:{(79,1),(80,1),(133,1),(134,1),(135,1)}
       107:{4,5,6}:{(80,1),(135,1),(219,1)}
       108:{1,2,4,7}:{(81,1),(82,1),(83,1),(85,1),(137,1),(199,1),(218,1)}
       109:{2,4,5,7}:{(82,1),(84,1),(86,1),(128,1),(133,1),(139,1)}
       110:{1,4,5,7}:{(83,1),(84,1),(87,1),(90,1),(134,1),(140,1)}
       111:{3,4,6}:{(84,1),(135,1),(139,1),(140,1),(193,1),(219,1)}
       112:{3,4,6}:{(85,1),(137,1),(142,1),(193,1)}
       113:{1,2,4,5}:{(85,1),(86,1),(87,1),(92,1),(130,1),(142,1),(149,1),(185,1)}
       114:{2,4,5,6}:{(86,1),(88,1),(131,1),(139,1),(144,1)}
       115:{1,4,5,6}:{(87,1),(88,1),(93,1),(140,1),(145,1)}
       116:{3,4,5,7}:{(88,1),(141,1),(144,1),(145,1),(196,1),(230,1)}
       117:{2,3,4,7}:{(89,1),(91,1),(137,1),(146,1),(152,1),(199,1)}
       118:{1,2,5,7}:{(89,1),(90,1),(92,1),(146,1),(147,1)}
       119:{1,3,6}:{(90,1),(140,1),(147,1),(193,1)}
       120:{2,3,5}:{(91,1),(92,1),(142,1),(149,1)}
       121:{1,2,5,6}:{(92,1),(93,1),(95,1),(147,1),(150,1),(151,1)}
       122:{1,3,5,7}:{(93,1),(96,1),(145,1),(148,1),(151,1),(196,1)}
       123:{2,3,6}:{(94,1),(95,1),(152,1)}
       124:{1,2,4,7}:{(95,1),(96,1),(151,1),(152,1),(199,1)}
       125:{1,2,4}:{(97,1),(98,1),(153,1)}
       126:{2,3,4,5}:{(98,1),(102,1),(154,1),(155,1),(171,1)}
       127:{1,2,4,7}:{(99,1),(100,1),(101,1),(156,1),(157,1)}
       128:{2,3,5,7}:{(100,1),(102,1),(109,1),(157,1),(158,1),(167,1)}
       129:{1,3,4,6}:{(101,1),(112,1),(153,1),(156,1),(159,1),(200,1),(203,1),(205,1)}
       130:{1,2,5}:{(101,1),(102,1),(159,1)}
       131:{2,3,5,6}:{(102,1),(114,1),(155,1),(158,1),(160,1),(161,1),(172,1)}
       132:{1,2,4,6,7}:{(103,1),(104,1),(105,1),(108,1),(162,1),(163,1),(168,1),(214,1),(225,1)}
       133:{2,5,7}:{(104,1),(106,1),(164,1)}
       134:{1,5,7}:{(105,1),(106,1),(165,1)}
       135:{3,5,6}:{(106,1),(107,1),(111,1),(164,1),(165,1)}
       136:{4,5,6,7}:{(107,1),(166,1),(227,1)}
       137:{3,4,7}:{(108,1),(112,1),(167,1)}
       138:{1,2,4,5,7}:{(108,1),(109,1),(110,1),(113,1),(118,1),(157,1),(163,1),(167,1),(168,1),(174,1),(202,1),(207,1)}
       139:{2,4,6}:{(109,1),(111,1),(158,1),(164,1)}
       140:{1,4,6}:{(110,1),(111,1),(119,1),(165,1)}
       141:{3,4,6,7}:{(111,1),(116,1),(166,1),(169,1),(170,1),(211,1),(227,1)}
       142:{3,5}:{(112,1),(113,1)}
       143:{1,2,4,5,6}:{(113,1),(114,1),(115,1),(121,1),(160,1),(168,1),(172,1),(173,1),(177,1),(205,1),(213,1),(224,1),(226,1)}
       144:{2,4,5,7}:{(114,1),(116,1),(161,1),(169,1)}
       145:{1,4,5,7}:{(115,1),(116,1),(122,1),(170,1)}
       146:{2,3,5,7}:{(117,1),(118,1),(120,1),(167,1),(174,1),(175,1)}
       147:{1,2,6}:{(118,1),(119,1),(175,1)}
       148:{1,3,6,7}:{(119,1),(122,1),(170,1),(176,1),(211,1)}
       149:{2,4,5}:{(120,1),(171,1),(177,1)}
       150:{2,3,5,6}:{(120,1),(121,1),(123,1),(172,1),(175,1),(177,1),(178,1),(213,1)}
       151:{1,2,5,7}:{(121,1),(122,1),(124,1),(176,1),(178,1)}
       152:{2,3,7}:{(123,1),(124,1)}
       153:{1,3,4}:{(125,1),(179,1)}
       154:{1,2,4,5}:{(125,1),(126,1),(130,1),(179,1),(180,1),(185,1)}
       155:{2,3,4,6}:{(126,1),(131,1),(180,1),(181,1),(195,1)}
       156:{1,3,4,7}:{(127,1),(129,1),(137,1),(182,1),(215,1),(218,1)}
       157:{1,2,5,7}:{(127,1),(128,1),(130,1),(182,1),(183,1)}
       158:{2,3,6}:{(128,1),(139,1),(183,1),(193,1)}
       159:{1,3,5}:{(129,1),(130,1),(142,1),(185,1)}
       160:{1,2,5,6}:{(130,1),(131,1),(180,1),(183,1),(186,1),(187,1)}
       161:{2,3,5,7}:{(131,1),(144,1),(181,1),(184,1),(187,1),(196,1)}
       162:{3,4,6,7}:{(132,1),(137,1),(188,1),(193,1),(219,1)}
       163:{1,2,5,7}:{(132,1),(133,1),(134,1),(188,1),(189,1),(223,1),(229,1)}
       164:{2,5,6}:{(133,1),(135,1),(139,1)}
       165:{1,5,6}:{(134,1),(135,1),(140,1)}
       166:{3,5,6,7}:{(135,1),(136,1),(141,1),(190,1),(191,1)}
       167:{3,5,7}:{(137,1),(138,1),(142,1),(193,1)}
       168:{1,2,4,6}:{(138,1),(139,1),(140,1),(147,1),(183,1),(189,1),(193,1),(197,1),(216,1),(219,1)}
       169:{2,4,6,7}:{(139,1),(141,1),(144,1),(184,1),(190,1)}
       170:{1,4,6,7}:{(140,1),(141,1),(145,1),(148,1),(191,1)}
       171:{3,4,5}:{(142,1),(149,1),(185,1),(195,1)}
       172:{3,5,6}:{(142,1),(143,1),(193,1),(195,1),(196,1)}
       173:{1,2,4,5,7}:{(143,1),(144,1),(145,1),(151,1),(187,1),(194,1),(196,1),(199,1),(218,1),(223,1),(229,1),(230,1)}
       174:{2,4,5,7}:{(146,1),(149,1),(192,1),(197,1),(199,1),(223,1)}
       175:{2,3,6}:{(146,1),(147,1),(193,1),(197,1)}
       176:{1,2,6,7}:{(147,1),(148,1),(151,1),(198,1)}
       177:{2,4,6}:{(149,1),(150,1),(195,1),(199,1)}
       178:{2,3,5,7}:{(150,1),(151,1),(152,1),(196,1),(198,1),(199,1),(223,1)}
       179:{1,3,5}:{(153,1),(154,1),(200,1)}
       180:{1,2,4,6}:{(154,1),(155,1),(160,1),(200,1),(201,1),(205,1)}
       181:{2,3,4,7}:{(155,1),(161,1),(201,1),(212,1)}
       182:{1,3,5,7}:{(156,1),(157,1),(159,1),(167,1),(202,1),(203,1)}
       183:{1,2,6}:{(157,1),(158,1),(203,1)}
       184:{2,3,6,7}:{(158,1),(161,1),(169,1),(204,1),(211,1)}
       185:{1,4,5}:{(159,1),(171,1),(205,1)}
       186:{1,3,5,6}:{(159,1),(160,1),(172,1),(200,1),(203,1),(205,1),(206,1),(224,1)}
       187:{1,2,5,7}:{(160,1),(161,1),(201,1),(204,1),(206,1)}
       188:{3,5,7}:{(162,1),(163,1),(207,1),(208,1)}
       189:{1,2,5,6}:{(163,1),(164,1),(165,1),(168,1),(208,1),(213,1),(224,1)}
       190:{2,5,6,7}:{(164,1),(166,1),(169,1)}
       191:{1,5,6,7}:{(165,1),(166,1),(170,1)}
       192:{3,4,5,7}:{(167,1),(171,1),(174,1),(202,1),(207,1),(210,1),(212,1),(228,1)}
       193:{3,6}:{(167,1),(168,1)}
       194:{1,2,4,6,7}:{(168,1),(169,1),(170,1),(173,1),(176,1),(204,1),(209,1),(211,1),(214,1),(225,1),(227,1)}
       195:{3,4,6}:{(171,1),(172,1),(177,1),(205,1),(212,1)}
       196:{3,5,7}:{(172,1),(173,1),(211,1),(212,1)}
       197:{2,4,6}:{(174,1),(175,1),(210,1),(213,1)}
       198:{2,3,6,7}:{(175,1),(176,1),(178,1),(211,1),(214,1)}
       199:{2,4,7}:{(177,1),(178,1),(212,1)}
       200:{1,3,6}:{(179,1),(180,1),(215,1)}
       201:{1,2,4,7}:{(180,1),(181,1),(187,1),(215,1),(218,1)}
       202:{1,4,5,7}:{(182,1),(185,1),(192,1),(216,1),(218,1),(229,1)}
       203:{1,3,6}:{(182,1),(183,1),(193,1),(216,1)}
       204:{1,2,6,7}:{(183,1),(184,1),(187,1),(217,1)}
       205:{1,4,6}:{(185,1),(186,1),(195,1),(218,1)}
       206:{1,3,5,7}:{(186,1),(187,1),(196,1),(215,1),(217,1),(218,1),(229,1)}
       207:{4,5,7}:{(188,1),(219,1)}
       208:{3,5,6}:{(188,1),(189,1),(193,1),(219,1)}
       209:{1,2,5,6,7}:{(189,1),(190,1),(191,1),(194,1),(220,1),(223,1),(229,1)}
       210:{3,4,6}:{(192,1),(193,1),(197,1),(216,1),(219,1),(221,1)}
       211:{3,6,7}:{(193,1),(194,1),(196,1)}
       212:{3,4,7}:{(195,1),(196,1),(199,1),(218,1)}
       213:{2,5,6}:{(197,1),(221,1),(223,1)}
       214:{2,4,6,7}:{(197,1),(198,1),(199,1),(222,1),(223,1)}
       215:{1,3,7}:{(200,1),(201,1)}
       216:{1,4,6}:{(202,1),(203,1),(210,1),(224,1)}
       217:{1,3,6,7}:{(203,1),(204,1),(206,1),(211,1),(225,1)}
       218:{1,4,7}:{(205,1),(206,1),(212,1)}
       219:{4,6}:{(207,1),(208,1)}
       220:{3,5,6,7}:{(208,1),(209,1),(211,1),(227,1),(228,1)}
       221:{3,5,6}:{(210,1),(213,1),(224,1),(226,1),(228,1)}
       222:{3,4,6,7}:{(210,1),(211,1),(212,1),(214,1),(225,1),(227,1),(228,1)}
       223:{2,5,7}:{(213,1),(214,1),(228,1)}
       224:{1,5,6}:{(216,1),(221,1),(229,1)}
       225:{1,4,6,7}:{(216,1),(217,1),(218,1),(222,1),(229,1)}
       226:{4,5,6}:{(219,1),(221,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{3,5,7}:{(221,1),(222,1),(223,1),(229,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(228,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

1157 :   0:{2,3,4,5,7}:{(1,1),(2,1),(11,1),(41,1),(81,1),(85,1),(93,1),(124,1),(129,1),(132,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(69,1),(151,1),(156,1),(158,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(24,1),(27,1),(59,1),(66,1),(70,1)}
         3:{2,4,5,6,7}:{(9,1),(34,1),(172,1)}
         4:{2,3,4,6,7}:{(1,1),(11,1),(12,1),(34,1),(74,1),(81,1),(121,1)}
         5:{3,4,5,6}:{(10,1),(14,1),(15,1),(47,1),(137,1),(174,1)}
         6:{2,3,5,6}:{(1,1),(11,1),(15,1),(16,1),(47,1),(85,1),(170,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(48,1)}
         8:{1,3,5,7}:{(2,1),(17,1),(18,1),(49,1),(129,1)}
         9:{3,5,6,7}:{(3,1),(19,1),(20,1),(190,1)}
        10:{3,4,5,7}:{(5,1),(19,1),(22,1),(23,1),(58,1)}
        11:{2,3,5,7}:{(4,1),(6,1),(23,1),(24,1),(58,1),(147,1)}
        12:{1,2,4,6,7}:{(4,1),(7,1),(24,1),(25,1),(59,1)}
        13:{1,2,3,5,7}:{(8,1),(26,1),(27,1),(63,1),(66,1)}
        14:{1,4,5,6}:{(5,1),(22,1),(28,1),(162,1),(192,1)}
        15:{2,4,5,6}:{(5,1),(6,1),(23,1),(109,1),(151,1)}
        16:{1,2,5,6}:{(6,1),(7,1),(24,1),(30,1),(66,1)}
        17:{1,3,6}:{(7,1),(8,1),(156,1)}
        18:{1,3,4,7}:{(8,1),(27,1),(31,1),(59,1),(101,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(33,1),(34,1),(74,1),(174,1)}
        20:{1,5,6,7}:{(9,1),(33,1),(202,1)}
        21:{2,3,5,6,7}:{(9,1),(11,1),(34,1),(35,1),(74,1),(125,1)}
        22:{1,4,5,7}:{(10,1),(14,1),(33,1),(37,1)}
        23:{2,4,5,7}:{(10,1),(11,1),(15,1),(34,1)}
        24:{1,2,5,7}:{(11,1),(12,1),(16,1),(39,1)}
        25:{1,3,6,7}:{(12,1),(17,1),(39,1),(74,1)}
        26:{1,2,3,6}:{(13,1),(17,1),(44,1),(86,1)}
        27:{1,2,4,7}:{(13,1),(18,1),(41,1),(44,1)}
        28:{1,3,5,6}:{(14,1),(37,1),(42,1),(46,1),(47,1),(142,1),(178,1)}
        29:{1,2,4,5,6}:{(14,1),(15,1),(16,1),(38,1),(46,1),(47,1),(48,1),(89,1),(92,1),(123,1),(130,1),(170,1)}
        30:{1,3,5,6}:{(16,1),(17,1),(39,1),(47,1),(48,1),(49,1)}
        31:{1,3,4,6}:{(17,1),(18,1),(44,1),(48,1),(49,1),(88,1)}
        32:{1,3,4,5,7}:{(18,1),(45,1),(49,1),(50,1),(82,1),(95,1),(129,1),(137,1),(173,1),(185,1)}
        33:{1,4,6,7}:{(19,1),(20,1),(22,1),(51,1),(192,1)}
        34:{2,4,6,7}:{(19,1),(21,1),(23,1),(151,1)}
        35:{1,2,5,6,7}:{(20,1),(21,1),(24,1),(52,1),(53,1),(103,1),(147,1)}
        36:{1,2,3,6,7}:{(25,1),(26,1),(55,1),(56,1),(96,1),(111,1),(156,1),(194,1),(196,1)}
        37:{1,3,5,7}:{(22,1),(28,1),(51,1),(54,1),(57,1),(58,1)}
        38:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(29,1),(52,1),(57,1),(58,1),(59,1),(98,1),(104,1),(147,1)}
        39:{1,3,5,7}:{(24,1),(25,1),(30,1),(58,1),(59,1)}
        40:{1,3,4,6,7}:{(25,1),(31,1),(56,1),(59,1),(60,1),(97,1),(101,1),(106,1),(156,1)}
        41:{2,3,4,7}:{(27,1),(62,1),(63,1),(101,1),(164,1)}
        42:{1,3,4,6}:{(28,1),(54,1),(61,1),(64,1),(69,1)}
        43:{1,2,3,5,6}:{(26,1),(30,1),(55,1),(65,1),(66,1),(68,1),(103,1),(110,1),(112,1),(115,1),(156,1),(165,1),(167,1),(194,1)}
        44:{1,2,4,6}:{(26,1),(27,1),(31,1),(62,1),(66,1)}
        45:{1,2,4,5,7}:{(27,1),(32,1),(63,1),(66,1),(67,1),(109,1),(117,1),(164,1)}
        46:{1,2,5,6}:{(28,1),(57,1),(64,1),(68,1),(165,1),(194,1)}
        47:{3,5,6}:{(29,1),(58,1),(69,1),(115,1),(156,1)}
        48:{1,4,6}:{(30,1),(59,1),(69,1),(70,1)}
        49:{1,3,5}:{(31,1),(66,1),(70,1),(115,1)}
        50:{1,3,4,6}:{(32,1),(67,1),(71,1),(106,1),(156,1),(163,1),(192,1)}
        51:{1,3,6,7}:{(33,1),(37,1),(73,1),(74,1),(178,1)}
        52:{1,2,4,6,7}:{(33,1),(34,1),(35,1),(38,1),(73,1),(74,1),(75,1),(121,1),(130,1)}
        53:{1,3,5,6,7}:{(35,1),(39,1),(74,1),(75,1),(83,1),(122,1)}
        54:{1,3,4,7}:{(37,1),(42,1),(77,1),(81,1)}
        55:{1,2,3,5,7}:{(36,1),(39,1),(43,1),(78,1),(79,1),(80,1),(126,1),(129,1),(139,1),(176,1),(188,1)}
        56:{1,2,4,6,7}:{(36,1),(40,1),(44,1),(76,1),(78,1),(79,1),(121,1),(130,1),(204,1)}
        57:{1,2,5,7}:{(37,1),(46,1),(73,1),(77,1),(80,1)}
        58:{3,5,7}:{(38,1),(47,1),(74,1),(81,1)}
        59:{1,4,7}:{(39,1),(48,1),(81,1)}
        60:{1,3,5,7}:{(40,1),(49,1),(79,1),(82,1),(83,1),(122,1),(129,1)}
        61:{1,3,4,5}:{(42,1),(84,1),(93,1),(142,1),(181,1)}
        62:{2,3,4,6}:{(41,1),(44,1),(85,1),(86,1),(88,1),(138,1)}
        63:{2,3,5,7}:{(41,1),(45,1),(85,1),(86,1),(129,1)}
        64:{1,2,4,6}:{(42,1),(46,1),(77,1),(84,1),(87,1),(92,1)}
        65:{1,2,4,6}:{(43,1),(48,1),(78,1),(88,1),(89,1),(92,1),(138,1),(184,1)}
        66:{1,2,5}:{(44,1),(49,1),(85,1)}
        67:{1,2,4,6}:{(45,1),(50,1),(86,1),(90,1),(138,1)}
        68:{2,3,5,6}:{(46,1),(47,1),(80,1),(87,1),(92,1),(141,1),(170,1),(177,1)}
        69:{3,4,6}:{(47,1),(48,1),(81,1),(92,1),(93,1)}
        70:{1,4,5}:{(48,1),(49,1),(93,1)}
        71:{1,3,5,6}:{(49,1),(50,1),(90,1),(94,1),(95,1),(143,1),(202,1)}
        72:{1,3,4,6,7}:{(50,1),(91,1),(95,1),(134,1),(179,1),(185,1),(204,1)}
        73:{1,2,6,7}:{(51,1),(57,1),(96,1),(194,1)}
        74:{3,6,7}:{(52,1),(58,1),(156,1)}
        75:{1,4,6,7}:{(53,1),(59,1),(97,1),(98,1),(106,1)}
        76:{2,3,4,6,7}:{(56,1),(62,1),(99,1),(101,1),(111,1),(151,1),(156,1),(164,1),(193,1)}
        77:{1,2,4,7}:{(54,1),(57,1),(64,1),(100,1),(104,1)}
        78:{1,2,4,7}:{(55,1),(59,1),(65,1),(101,1),(104,1),(164,1),(200,1)}
        79:{1,2,5,7}:{(56,1),(60,1),(66,1),(99,1),(103,1),(147,1),(208,1)}
        80:{2,3,5,7}:{(57,1),(58,1),(68,1),(96,1),(100,1),(104,1),(147,1)}
        81:{3,4,7}:{(58,1),(59,1),(69,1),(104,1)}
        82:{1,4,5,7}:{(59,1),(60,1),(70,1),(105,1),(106,1)}
        83:{1,3,5,6}:{(60,1),(103,1),(106,1),(148,1),(156,1)}
        84:{1,2,4,5}:{(61,1),(64,1),(108,1),(118,1),(160,1),(165,1)}
        85:{2,3,5}:{(62,1),(66,1),(109,1),(115,1)}
        86:{2,3,6}:{(63,1),(67,1),(156,1)}
        87:{2,3,6}:{(64,1),(100,1),(108,1)}
        88:{3,4,6}:{(65,1),(101,1),(115,1),(156,1)}
        89:{1,2,4,5}:{(65,1),(66,1),(70,1),(109,1),(115,1),(118,1),(162,1),(165,1)}
        90:{1,2,5,6}:{(66,1),(67,1),(71,1),(110,1),(117,1)}
        91:{1,2,4,6,7}:{(67,1),(72,1),(111,1),(117,1),(164,1)}
        92:{2,4,6}:{(68,1),(69,1),(104,1),(118,1)}
        93:{3,4,5}:{(69,1),(70,1),(115,1),(118,1)}
        94:{1,4,5,6}:{(70,1),(71,1),(106,1),(119,1),(120,1)}
        95:{1,3,5,7}:{(71,1),(72,1),(117,1),(120,1),(168,1),(208,1)}
        96:{2,3,6,7}:{(73,1),(74,1),(80,1),(121,1),(177,1)}
        97:{3,4,6,7}:{(74,1),(75,1),(81,1),(121,1),(122,1),(133,1)}
        98:{1,4,5,7}:{(75,1),(122,1),(123,1)}
        99:{2,3,5,7}:{(76,1),(79,1),(85,1),(124,1),(125,1),(129,1),(203,1)}
       100:{2,3,7}:{(77,1),(87,1)}
       101:{3,4,7}:{(78,1),(88,1),(129,1)}
       102:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(89,1),(124,1),(129,1),(130,1),(132,1),(173,1),(176,1)}
       103:{1,2,5,6}:{(79,1),(83,1),(125,1),(130,1),(170,1),(202,1)}
       104:{2,4,7}:{(80,1),(81,1),(92,1)}
       105:{3,4,5,7}:{(81,1),(82,1),(93,1),(122,1),(129,1),(132,1),(133,1)}
       106:{1,4,6}:{(82,1),(83,1),(133,1)}
       107:{1,3,5,6,7}:{(83,1),(95,1),(131,1),(134,1),(171,1),(179,1)}
       108:{2,3,5}:{(84,1),(87,1),(136,1)}
       109:{2,4,5}:{(85,1),(137,1),(138,1)}
       110:{2,3,5,6}:{(85,1),(86,1),(90,1),(138,1),(139,1),(143,1)}
       111:{2,3,6,7}:{(86,1),(91,1),(139,1),(179,1)}
       112:{1,2,3,6}:{(87,1),(126,1),(135,1),(140,1),(206,1)}
       113:{2,3,4,6}:{(87,1),(88,1),(92,1),(127,1),(136,1),(140,1),(141,1),(177,1)}
       114:{1,3,4,6}:{(88,1),(128,1),(140,1),(142,1),(178,1),(181,1),(184,1),(206,1)}
       115:{3,5}:{(88,1),(89,1)}
       116:{1,2,4,5,6}:{(89,1),(90,1),(94,1),(130,1),(138,1),(143,1),(144,1),(145,1),(172,1),(184,1),(186,1),(202,1)}
       117:{1,2,5,7}:{(90,1),(91,1),(95,1),(139,1)}
       118:{2,4,5}:{(92,1),(93,1),(141,1)}
       119:{3,4,5,6}:{(93,1),(94,1),(133,1),(143,1),(145,1),(146,1)}
       120:{1,4,5,7}:{(94,1),(95,1),(134,1),(146,1)}
       121:{2,4,6,7}:{(96,1),(97,1),(104,1),(147,1),(158,1)}
       122:{3,5,7}:{(97,1),(98,1),(147,1),(148,1)}
       123:{1,4,5,6}:{(98,1),(106,1),(148,1)}
       124:{2,4,5,7}:{(99,1),(109,1),(150,1),(151,1),(164,1)}
       125:{2,3,5,6}:{(99,1),(103,1),(151,1),(156,1),(190,1)}
       126:{1,2,3,7}:{(100,1),(112,1),(153,1),(209,1)}
       127:{2,3,4,7}:{(100,1),(101,1),(104,1),(113,1),(153,1),(154,1)}
       128:{1,3,4,7}:{(101,1),(114,1),(153,1),(155,1),(200,1),(209,1)}
       129:{3,5,7}:{(101,1),(102,1),(115,1),(156,1)}
       130:{1,2,4,6}:{(102,1),(103,1),(106,1),(151,1),(156,1),(158,1),(192,1),(194,1)}
       131:{1,2,5,6,7}:{(103,1),(107,1),(117,1),(152,1),(157,1),(189,1),(208,1)}
       132:{2,4,5,7}:{(104,1),(105,1),(118,1),(147,1),(154,1),(158,1)}
       133:{3,4,6}:{(105,1),(106,1),(148,1),(156,1),(158,1)}
       134:{1,4,6,7}:{(106,1),(107,1),(120,1),(159,1)}
       135:{1,2,3,5}:{(108,1),(112,1),(160,1),(165,1),(197,1)}
       136:{2,3,4}:{(108,1),(160,1)}
       137:{3,4,5}:{(109,1),(115,1),(162,1),(163,1)}
       138:{2,4,6}:{(109,1),(110,1),(163,1),(164,1)}
       139:{2,3,5,7}:{(110,1),(111,1),(117,1),(164,1),(168,1)}
       140:{1,2,4,6}:{(112,1),(113,1),(114,1),(153,1),(160,1),(165,1),(194,1)}
       141:{2,3,5}:{(113,1),(115,1),(118,1),(165,1)}
       142:{1,3,5}:{(114,1),(115,1),(162,1),(165,1)}
       143:{3,5,6}:{(115,1),(116,1),(156,1),(163,1),(168,1)}
       144:{1,2,4,5,7}:{(116,1),(117,1),(120,1),(157,1),(164,1),(168,1),(169,1),(191,1),(200,1),(201,1),(208,1)}
       145:{2,4,5,6}:{(118,1),(119,1),(158,1),(166,1),(169,1)}
       146:{3,4,5,7}:{(119,1),(120,1),(159,1),(168,1),(169,1)}
       147:{2,5,7}:{(121,1),(122,1),(170,1)}
       148:{3,5,6}:{(122,1),(123,1),(133,1),(170,1)}
       149:{1,4,5,6,7}:{(123,1),(134,1),(171,1)}
       150:{3,4,5,7}:{(124,1),(129,1),(137,1),(173,1),(174,1),(185,1),(203,1)}
       151:{2,4,6}:{(124,1),(125,1),(174,1)}
       152:{2,3,5,6,7}:{(125,1),(131,1),(139,1),(175,1),(179,1),(203,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(128,1),(140,1),(176,1)}
       154:{2,3,5,7}:{(127,1),(129,1),(132,1),(141,1),(176,1),(177,1)}
       155:{1,3,5,7}:{(128,1),(129,1),(142,1),(173,1),(176,1),(178,1)}
       156:{3,6}:{(129,1),(130,1)}
       157:{1,2,4,6,7}:{(130,1),(131,1),(134,1),(144,1),(175,1),(179,1),(180,1),(204,1),(205,1)}
       158:{2,4,6}:{(132,1),(133,1),(170,1),(177,1)}
       159:{3,4,6,7}:{(133,1),(134,1),(146,1),(171,1),(179,1),(180,1)}
       160:{1,2,4}:{(135,1),(136,1),(181,1)}
       161:{2,3,4,5}:{(136,1),(137,1),(141,1),(182,1),(183,1)}
       162:{1,4,5}:{(137,1),(142,1),(184,1)}
       163:{3,4,6}:{(137,1),(138,1),(143,1),(184,1),(185,1)}
       164:{2,4,7}:{(138,1),(139,1),(185,1)}
       165:{1,2,5}:{(140,1),(141,1),(142,1)}
       166:{2,3,5,6}:{(141,1),(143,1),(145,1),(177,1),(183,1),(186,1),(187,1)}
       167:{1,3,5,6}:{(142,1),(143,1),(178,1),(184,1),(186,1),(188,1),(202,1),(206,1)}
       168:{3,5,7}:{(143,1),(144,1),(179,1),(185,1)}
       169:{2,4,5,7}:{(145,1),(146,1),(180,1),(187,1)}
       170:{2,5,6}:{(147,1),(148,1),(158,1)}
       171:{3,5,6,7}:{(148,1),(149,1),(159,1),(189,1)}
       172:{2,4,5,6}:{(151,1),(190,1),(191,1)}
       173:{1,4,5,7}:{(150,1),(155,1),(162,1),(192,1),(200,1),(208,1)}
       174:{3,4,6}:{(150,1),(151,1),(156,1),(190,1),(192,1)}
       175:{2,4,6,7}:{(151,1),(152,1),(164,1),(191,1),(193,1)}
       176:{1,2,5,7}:{(153,1),(154,1),(155,1),(165,1),(194,1)}
       177:{2,3,6}:{(154,1),(156,1),(158,1),(194,1)}
       178:{1,3,6}:{(155,1),(156,1),(192,1),(194,1)}
       179:{3,6,7}:{(156,1),(157,1),(168,1)}
       180:{2,4,6,7}:{(158,1),(159,1),(169,1),(189,1),(195,1)}
       181:{1,3,4}:{(160,1),(197,1)}
       182:{1,2,4,5}:{(160,1),(161,1),(162,1),(165,1),(197,1),(198,1)}
       183:{2,3,4,6}:{(161,1),(163,1),(166,1),(198,1),(199,1)}
       184:{1,4,6}:{(162,1),(163,1),(167,1),(200,1)}
       185:{3,4,7}:{(163,1),(164,1),(168,1),(200,1)}
       186:{1,2,5,6}:{(165,1),(166,1),(167,1),(194,1),(198,1),(201,1)}
       187:{2,3,5,7}:{(166,1),(168,1),(169,1),(195,1),(199,1),(201,1)}
       188:{1,3,5,7}:{(167,1),(168,1),(196,1),(200,1),(201,1),(208,1),(209,1)}
       189:{2,5,6,7}:{(170,1),(171,1),(180,1)}
       190:{3,5,6}:{(172,1),(174,1),(202,1),(203,1)}
       191:{2,4,5,7}:{(172,1),(175,1),(203,1)}
       192:{1,4,6}:{(173,1),(174,1),(178,1),(202,1)}
       193:{3,4,6,7}:{(174,1),(175,1),(179,1),(185,1),(203,1),(204,1)}
       194:{1,2,6}:{(176,1),(177,1),(178,1)}
       195:{2,3,6,7}:{(177,1),(179,1),(180,1),(187,1),(205,1)}
       196:{1,3,6,7}:{(178,1),(179,1),(188,1),(204,1),(205,1)}
       197:{1,3,5}:{(181,1),(182,1),(206,1)}
       198:{1,2,4,6}:{(182,1),(183,1),(184,1),(186,1),(206,1),(207,1)}
       199:{2,3,4,7}:{(183,1),(185,1),(187,1),(207,1)}
       200:{1,4,7}:{(184,1),(185,1),(188,1)}
       201:{1,2,5,7}:{(186,1),(187,1),(188,1),(205,1),(207,1)}
       202:{1,5,6}:{(190,1),(192,1),(208,1)}
       203:{3,5,7}:{(190,1),(191,1),(193,1),(208,1)}
       204:{1,4,6,7}:{(192,1),(193,1),(196,1),(200,1),(208,1)}
       205:{1,2,6,7}:{(194,1),(195,1),(196,1),(201,1)}
       206:{1,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,2,4,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       208:{1,5,7}:{(202,1),(203,1),(204,1)}
       209:{1,3,7}:{(206,1),(207,1)}

1158 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(30,1),(31,1),(34,1),(37,1),(38,1),(39,1),(76,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(42,1),(43,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(25,1),(50,1),(51,1),(55,1),(59,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(27,1),(28,1),(34,1)}
         4:{3,4,6}:{(1,1),(8,1),(12,1),(37,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(12,1),(62,1),(63,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(37,1),(71,1),(72,1),(76,1)}
         7:{1,2,4,5,6}:{(3,1),(15,1),(16,1),(20,1),(42,1),(43,1),(49,1),(86,1),(87,1),(88,1)}
         8:{3,5}:{(3,1),(4,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(19,1),(20,1),(25,1),(46,1),(47,1),(55,1),(60,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(21,1),(22,1),(42,1),(56,1),(78,1),(83,1),(104,1)}
        11:{2,3,4,6}:{(4,1),(18,1),(21,1),(23,1),(43,1),(57,1),(78,1),(83,1),(104,1)}
        12:{3,4,7}:{(4,1),(5,1),(19,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(24,1),(25,1),(80,1),(81,1)}
        14:{3,4,5}:{(8,1),(26,1),(27,1),(28,1),(65,1)}
        15:{3,5,6}:{(7,1),(8,1),(26,1),(32,1),(37,1)}
        16:{1,2,4,5,7}:{(7,1),(32,1),(33,1),(62,1),(63,1),(70,1),(95,1),(96,1),(97,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(34,1),(65,1),(108,1)}
        18:{2,3,5}:{(8,1),(11,1),(28,1),(34,1),(65,1),(108,1)}
        19:{3,5,7}:{(8,1),(9,1),(12,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(37,1),(38,1),(67,1),(68,1),(76,1),(77,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(34,1),(39,1),(40,1),(74,1),(76,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(35,1),(40,1),(62,1),(93,1),(98,1)}
        23:{2,3,4,7}:{(11,1),(12,1),(36,1),(40,1),(63,1),(93,1),(98,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(41,1),(77,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(41,1),(95,1),(96,1)}
        26:{3,4,6}:{(14,1),(15,1),(42,1),(43,1),(44,1),(78,1)}
        27:{1,4,5}:{(14,1),(17,1),(42,1),(111,1)}
        28:{2,4,5}:{(14,1),(18,1),(43,1),(111,1)}
        29:{3,4,5,7}:{(14,1),(19,1),(44,1),(46,1),(47,1),(48,1),(60,1),(82,1),(84,1),(110,1),(111,1)}
        30:{1,3,5,6}:{(15,1),(17,1),(42,1),(49,1),(50,1),(56,1),(78,1),(86,1),(105,1)}
        31:{2,3,5,6}:{(15,1),(18,1),(43,1),(49,1),(51,1),(57,1),(78,1),(87,1),(105,1)}
        32:{3,5,7}:{(15,1),(16,1),(44,1),(52,1)}
        33:{1,2,4,6,7}:{(16,1),(20,1),(52,1),(53,1),(80,1),(81,1),(89,1),(90,1)}
        34:{1,2,5}:{(17,1),(18,1),(21,1)}
        35:{1,3,5,7}:{(17,1),(19,1),(22,1),(46,1),(55,1),(56,1),(84,1)}
        36:{2,3,5,7}:{(18,1),(19,1),(23,1),(47,1),(55,1),(57,1),(84,1)}
        37:{3,6}:{(19,1),(20,1)}
        38:{1,2,5,6}:{(20,1),(25,1),(58,1),(86,1),(87,1)}
        39:{1,2,3,6}:{(21,1),(54,1),(59,1),(78,1)}
        40:{1,2,4,7}:{(21,1),(22,1),(23,1),(55,1),(59,1)}
        41:{3,5,7}:{(24,1),(25,1),(58,1),(60,1)}
        42:{1,4,6}:{(26,1),(27,1),(30,1),(62,1),(109,1)}
        43:{2,4,6}:{(26,1),(28,1),(31,1),(63,1),(109,1)}
        44:{3,4,7}:{(26,1),(32,1),(62,1),(63,1),(93,1)}
        45:{1,2,4,5}:{(27,1),(28,1),(34,1),(61,1),(65,1),(74,1)}
        46:{1,4,5,7}:{(27,1),(29,1),(35,1),(62,1),(67,1),(95,1)}
        47:{2,4,5,7}:{(28,1),(29,1),(36,1),(63,1),(68,1),(96,1)}
        48:{3,4,6}:{(29,1),(37,1),(67,1),(68,1),(69,1),(77,1),(99,1),(109,1)}
        49:{1,2,5,6}:{(30,1),(31,1),(34,1),(61,1),(70,1),(76,1)}
        50:{1,3,5,7}:{(30,1),(32,1),(62,1),(70,1),(71,1),(93,1),(95,1),(107,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(63,1),(70,1),(72,1),(93,1),(96,1),(107,1)}
        52:{3,6,7}:{(32,1),(33,1),(37,1)}
        53:{1,2,5,6,7}:{(33,1),(38,1),(73,1),(95,1),(96,1)}
        54:{1,2,3,5}:{(34,1),(39,1),(65,1),(74,1)}
        55:{1,2,5,7}:{(34,1),(35,1),(36,1),(40,1),(76,1)}
        56:{1,3,6}:{(35,1),(37,1),(67,1),(76,1),(99,1)}
        57:{2,3,6}:{(36,1),(37,1),(68,1),(76,1),(99,1)}
        58:{3,5,6}:{(37,1),(38,1),(41,1),(77,1)}
        59:{1,2,3,7}:{(39,1),(40,1),(93,1)}
        60:{4,5,7}:{(41,1),(77,1)}
        61:{1,2,4,6}:{(42,1),(43,1),(45,1),(49,1),(78,1),(79,1)}
        62:{1,4,7}:{(42,1),(44,1),(50,1),(110,1)}
        63:{2,4,7}:{(43,1),(44,1),(51,1),(110,1)}
        64:{3,4,6,7}:{(44,1),(48,1),(52,1),(80,1),(81,1),(82,1),(90,1),(102,1),(110,1)}
        65:{3,5}:{(45,1),(78,1),(83,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(55,1),(79,1),(84,1),(85,1),(91,1),(103,1),(106,1),(110,1),(111,1)}
        67:{1,4,6}:{(46,1),(48,1),(56,1),(86,1)}
        68:{2,4,6}:{(47,1),(48,1),(57,1),(87,1)}
        69:{3,5,6}:{(48,1),(82,1),(86,1),(87,1),(88,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(89,1)}
        71:{1,3,6,7}:{(50,1),(52,1),(56,1),(80,1),(89,1),(102,1)}
        72:{2,3,6,7}:{(51,1),(52,1),(57,1),(81,1),(89,1),(102,1)}
        73:{3,5,6,7}:{(52,1),(53,1),(58,1),(82,1),(90,1)}
        74:{1,2,4}:{(54,1),(83,1)}
        75:{1,2,3,5,7}:{(54,1),(55,1),(59,1),(84,1),(91,1),(92,1),(106,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{4,6}:{(58,1),(60,1)}
        78:{3,6}:{(61,1),(65,1),(93,1)}
        79:{1,2,4,7}:{(61,1),(62,1),(63,1),(70,1),(93,1)}
        80:{1,4,6,7}:{(62,1),(64,1),(67,1),(71,1),(95,1)}
        81:{2,4,6,7}:{(63,1),(64,1),(68,1),(72,1),(96,1)}
        82:{3,5,7}:{(64,1),(69,1),(95,1),(96,1),(97,1)}
        83:{3,4}:{(65,1),(74,1)}
        84:{3,5,7}:{(65,1),(66,1),(93,1),(98,1),(99,1),(108,1)}
        85:{1,2,4,6}:{(66,1),(67,1),(68,1),(76,1),(99,1),(100,1),(109,1)}
        86:{1,5,6}:{(67,1),(69,1),(95,1)}
        87:{2,5,6}:{(68,1),(69,1),(96,1)}
        88:{4,5,6}:{(69,1),(77,1),(97,1),(109,1)}
        89:{1,2,6,7}:{(70,1),(71,1),(72,1),(76,1)}
        90:{4,6,7}:{(73,1),(77,1),(97,1)}
        91:{1,2,4,7}:{(74,1),(75,1),(98,1),(101,1)}
        92:{1,2,3,6}:{(75,1),(76,1),(99,1),(101,1)}
        93:{3,7}:{(78,1),(79,1)}
        94:{1,2,4,6,7}:{(79,1),(80,1),(81,1),(85,1),(89,1),(102,1),(103,1),(110,1)}
        95:{1,5,7}:{(80,1),(82,1),(86,1)}
        96:{2,5,7}:{(81,1),(82,1),(87,1)}
        97:{4,5,7}:{(82,1),(88,1),(90,1),(110,1)}
        98:{3,4,7}:{(83,1),(84,1),(91,1),(104,1),(110,1)}
        99:{3,6}:{(84,1),(85,1)}
       100:{1,2,5,6}:{(85,1),(86,1),(87,1),(103,1),(105,1),(106,1)}
       101:{1,2,4,6}:{(91,1),(92,1),(104,1),(106,1)}
       102:{3,6,7}:{(93,1),(94,1),(99,1),(107,1)}
       103:{1,2,5,7}:{(94,1),(95,1),(96,1),(100,1),(107,1)}
       104:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       105:{3,5,6}:{(99,1),(100,1),(107,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(108,1)}
       107:{3,5,7}:{(102,1),(103,1),(105,1),(110,1)}
       108:{3,5}:{(104,1),(106,1),(111,1)}
       109:{4,6}:{(105,1),(110,1),(111,1)}
       110:{4,7}:{(107,1),(109,1)}
       111:{4,5}:{(108,1),(109,1)}

1159 :   0:{1,4,5,6,7}:{(1,1),(6,1),(183,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(4,1),(196,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(26,1),(181,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(21,1),(26,1),(144,1)}
         4:{2,5,6,7}:{(1,1),(7,1),(204,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(11,1),(12,1),(36,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(11,1),(165,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(12,1),(14,1),(194,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(15,1),(16,1),(34,1),(73,1),(119,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(44,1),(173,1),(181,1)}
        10:{1,3,4,5,7}:{(19,1),(20,1),(21,1),(51,1),(81,1),(84,1),(91,1),(131,1),(139,1),(143,1)}
        11:{1,4,5,7}:{(5,1),(6,1),(17,1),(21,1)}
        12:{2,4,5,7}:{(5,1),(7,1),(18,1),(22,1)}
        13:{1,3,4,6,7}:{(6,1),(19,1),(21,1),(24,1),(26,1),(51,1),(54,1)}
        14:{2,3,6,7}:{(7,1),(22,1),(25,1),(26,1),(179,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(23,1),(25,1),(26,1),(27,1),(54,1),(140,1)}
        16:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(49,1),(55,1),(95,1)}
        17:{1,4,5,6}:{(9,1),(11,1),(28,1),(155,1),(165,1)}
        18:{2,4,5,6}:{(9,1),(12,1),(29,1),(188,1),(194,1)}
        19:{1,3,4,6}:{(10,1),(28,1),(31,1),(61,1),(116,1),(163,1),(165,1)}
        20:{1,2,4,5,7}:{(10,1),(31,1),(32,1),(34,1),(64,1),(68,1),(102,1),(106,1)}
        21:{1,3,5,7}:{(11,1),(13,1),(28,1),(34,1),(36,1),(73,1)}
        22:{2,3,5,7}:{(12,1),(14,1),(29,1),(33,1),(35,1),(36,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(15,1),(30,1),(34,1),(35,1),(36,1),(40,1),(68,1),(69,1),(73,1)}
        24:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(37,1),(68,1)}
        25:{1,2,6,7}:{(14,1),(35,1),(38,1),(160,1)}
        26:{3,6,7}:{(15,1),(36,1),(163,1)}
        27:{2,4,6,7}:{(16,1),(39,1),(40,1),(68,1),(115,1)}
        28:{1,3,5,6}:{(17,1),(19,1),(21,1),(42,1),(44,1),(96,1),(131,1)}
        29:{2,3,5,6}:{(18,1),(22,1),(41,1),(43,1),(44,1),(170,1),(179,1)}
        30:{1,2,4,5,6}:{(17,1),(18,1),(23,1),(42,1),(43,1),(44,1),(56,1),(79,1),(80,1),(96,1),(127,1),(140,1)}
        31:{1,2,4,6}:{(19,1),(20,1),(42,1),(45,1),(79,1)}
        32:{2,3,5,7}:{(20,1),(45,1),(47,1),(83,1),(139,1)}
        33:{2,3,4,7}:{(22,1),(41,1),(48,1),(51,1)}
        34:{1,2,5,7}:{(21,1),(24,1),(42,1),(49,1)}
        35:{1,2,5,7}:{(22,1),(25,1),(43,1),(48,1),(50,1)}
        36:{3,5,7}:{(23,1),(26,1),(44,1),(51,1)}
        37:{2,3,6,7}:{(24,1),(26,1),(45,1),(49,1)}
        38:{1,3,6,7}:{(25,1),(26,1),(50,1),(54,1),(138,1)}
        39:{3,4,6,7}:{(26,1),(27,1),(51,1),(54,1),(55,1),(92,1)}
        40:{2,4,5,7}:{(27,1),(55,1),(56,1)}
        41:{2,3,4,6}:{(29,1),(33,1),(57,1),(58,1),(61,1)}
        42:{1,2,5,6}:{(28,1),(31,1),(34,1),(59,1),(106,1)}
        43:{1,2,5,6}:{(29,1),(35,1),(58,1),(60,1),(149,1),(160,1)}
        44:{3,5,6}:{(30,1),(36,1),(61,1),(151,1),(163,1)}
        45:{2,3,6}:{(31,1),(32,1),(163,1)}
        46:{1,2,3,5,7}:{(32,1),(62,1),(64,1),(106,1),(108,1)}
        47:{2,3,4,7}:{(32,1),(63,1),(64,1),(68,1),(113,1)}
        48:{1,2,4,7}:{(33,1),(35,1),(58,1),(66,1),(69,1)}
        49:{2,3,5,7}:{(34,1),(36,1),(37,1),(59,1),(68,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(38,1),(60,1),(66,1),(69,1),(73,1)}
        51:{3,4,7}:{(36,1),(61,1),(68,1),(69,1)}
        52:{1,2,3,6,7}:{(37,1),(38,1),(62,1),(67,1),(71,1),(158,1),(160,1),(163,1),(195,1)}
        53:{2,3,4,6,7}:{(37,1),(39,1),(63,1),(68,1),(71,1),(72,1),(113,1),(115,1),(163,1)}
        54:{1,4,6,7}:{(38,1),(39,1),(69,1),(73,1),(116,1)}
        55:{3,5,7}:{(39,1),(40,1),(73,1),(74,1)}
        56:{2,4,5,6}:{(40,1),(74,1),(115,1)}
        57:{2,3,4,5}:{(41,1),(76,1),(81,1),(167,1),(170,1)}
        58:{1,2,4,6}:{(41,1),(43,1),(48,1),(76,1),(77,1),(80,1)}
        59:{2,3,5,6}:{(42,1),(44,1),(45,1),(49,1),(79,1),(83,1)}
        60:{1,3,5,6}:{(43,1),(44,1),(50,1),(77,1),(80,1),(96,1),(125,1),(138,1)}
        61:{3,4,6}:{(44,1),(51,1),(79,1),(80,1),(81,1)}
        62:{1,2,3,6}:{(45,1),(46,1),(82,1),(134,1)}
        63:{2,3,4,6}:{(45,1),(47,1),(79,1),(82,1),(83,1),(126,1)}
        64:{1,2,4,7}:{(46,1),(47,1),(82,1),(84,1)}
        65:{2,3,4,5,7}:{(47,1),(83,1),(85,1),(86,1),(90,1),(133,1),(139,1),(173,1),(178,1),(203,1)}
        66:{1,3,7}:{(48,1),(77,1)}
        67:{1,2,3,5,7}:{(49,1),(50,1),(52,1),(78,1),(87,1),(89,1),(94,1),(137,1),(139,1),(177,1),(202,1)}
        68:{2,4,7}:{(49,1),(51,1),(79,1)}
        69:{1,4,7}:{(50,1),(51,1),(80,1)}
        70:{3,4,5,7}:{(51,1),(55,1),(81,1),(90,1),(91,1),(92,1),(139,1)}
        71:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(82,1),(89,1),(93,1),(94,1),(140,1),(205,1)}
        72:{2,3,5,7}:{(53,1),(55,1),(83,1),(90,1),(94,1),(95,1),(139,1)}
        73:{1,5,7}:{(54,1),(55,1),(96,1)}
        74:{3,5,6}:{(55,1),(56,1),(92,1),(96,1)}
        75:{2,4,5,6,7}:{(56,1),(97,1),(141,1)}
        76:{1,2,4,5}:{(57,1),(58,1),(98,1),(103,1),(146,1),(149,1)}
        77:{1,3,6}:{(58,1),(66,1),(98,1)}
        78:{1,2,3,5,6}:{(59,1),(60,1),(62,1),(67,1),(99,1),(101,1),(106,1),(119,1),(149,1),(151,1),(156,1),(160,1),(163,1),(189,1)}
        79:{2,4,6}:{(59,1),(61,1),(68,1),(102,1)}
        80:{1,4,6}:{(60,1),(61,1),(69,1),(103,1)}
        81:{3,4,5}:{(61,1),(102,1),(103,1),(151,1)}
        82:{1,2,4,6}:{(62,1),(63,1),(64,1),(105,1),(106,1)}
        83:{2,3,5}:{(63,1),(102,1),(106,1),(151,1)}
        84:{1,3,4,7}:{(64,1),(105,1),(108,1),(113,1),(193,1)}
        85:{1,2,4,5,7}:{(64,1),(65,1),(106,1),(108,1),(109,1),(155,1),(157,1),(193,1)}
        86:{2,3,4,6}:{(65,1),(107,1),(109,1),(115,1),(163,1),(191,1),(194,1)}
        87:{1,2,3,7}:{(66,1),(99,1),(111,1),(207,1)}
        88:{1,3,4,7}:{(66,1),(69,1),(100,1),(111,1),(112,1),(113,1)}
        89:{1,2,4,7}:{(67,1),(68,1),(69,1),(101,1),(113,1),(193,1),(208,1)}
        90:{2,4,5,7}:{(68,1),(70,1),(72,1),(102,1),(115,1)}
        91:{1,4,5,7}:{(69,1),(70,1),(73,1),(103,1),(112,1),(116,1)}
        92:{3,4,6}:{(70,1),(74,1),(115,1),(116,1),(163,1)}
        93:{1,3,4,6,7}:{(71,1),(105,1),(113,1),(118,1),(158,1),(163,1),(165,1),(193,1),(197,1)}
        94:{1,2,5,7}:{(71,1),(72,1),(73,1),(106,1),(118,1),(119,1),(209,1)}
        95:{2,3,5,6}:{(72,1),(74,1),(115,1),(119,1),(163,1)}
        96:{1,5,6}:{(73,1),(74,1),(116,1)}
        97:{3,5,6,7}:{(74,1),(75,1),(117,1),(121,1)}
        98:{1,3,5}:{(76,1),(77,1),(123,1)}
        99:{1,2,3,6}:{(77,1),(87,1),(122,1),(124,1),(199,1)}
       100:{1,3,4,6}:{(77,1),(80,1),(88,1),(123,1),(124,1),(125,1),(126,1),(138,1)}
       101:{1,2,4,6}:{(78,1),(79,1),(80,1),(89,1),(126,1),(127,1),(176,1),(201,1)}
       102:{2,4,5}:{(79,1),(81,1),(83,1)}
       103:{1,4,5}:{(80,1),(81,1),(125,1)}
       104:{3,4,5,6}:{(81,1),(92,1),(128,1),(129,1),(130,1),(174,1)}
       105:{1,3,4,6}:{(82,1),(84,1),(126,1),(131,1),(134,1),(176,1)}
       106:{1,2,5}:{(82,1),(83,1),(131,1)}
       107:{2,3,5,6}:{(83,1),(86,1),(128,1),(132,1),(133,1),(174,1),(204,1)}
       108:{1,3,5,7}:{(84,1),(85,1),(131,1),(134,1),(139,1)}
       109:{1,2,4,6}:{(85,1),(86,1),(132,1),(134,1),(176,1)}
       110:{2,3,4,6,7}:{(86,1),(133,1),(135,1),(141,1),(182,1),(203,1),(205,1)}
       111:{1,2,4,7}:{(87,1),(88,1),(124,1),(136,1),(137,1)}
       112:{1,3,5,7}:{(88,1),(91,1),(125,1),(137,1),(138,1),(139,1)}
       113:{3,4,7}:{(89,1),(126,1),(139,1)}
       114:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(127,1),(137,1),(139,1),(140,1),(143,1),(178,1)}
       115:{2,4,6}:{(90,1),(92,1),(95,1)}
       116:{1,4,6}:{(91,1),(92,1),(96,1),(138,1)}
       117:{3,4,6,7}:{(92,1),(97,1),(130,1),(141,1),(142,1),(182,1)}
       118:{1,3,5,7}:{(93,1),(94,1),(131,1),(139,1),(143,1),(144,1),(206,1)}
       119:{1,2,5,6}:{(94,1),(95,1),(96,1),(140,1),(144,1),(204,1)}
       120:{2,3,5,6,7}:{(95,1),(97,1),(133,1),(141,1),(145,1),(182,1)}
       121:{1,5,6,7}:{(96,1),(97,1),(142,1)}
       122:{1,2,3,5}:{(98,1),(99,1),(146,1),(149,1),(185,1)}
       123:{1,3,4}:{(98,1),(146,1)}
       124:{1,2,4,6}:{(99,1),(100,1),(111,1),(146,1),(148,1),(149,1),(160,1)}
       125:{1,3,5}:{(100,1),(103,1),(149,1),(151,1)}
       126:{3,4,6}:{(101,1),(113,1),(151,1),(163,1)}
       127:{1,2,4,5}:{(101,1),(102,1),(103,1),(106,1),(149,1),(151,1),(155,1),(188,1)}
       128:{2,4,5,6}:{(102,1),(104,1),(107,1),(115,1),(153,1)}
       129:{1,4,5,6}:{(103,1),(104,1),(116,1),(150,1),(154,1)}
       130:{3,4,5,7}:{(104,1),(117,1),(153,1),(154,1),(192,1)}
       131:{1,3,5}:{(105,1),(106,1),(151,1),(155,1)}
       132:{1,2,5,6}:{(106,1),(107,1),(109,1),(156,1),(157,1)}
       133:{2,3,5,7}:{(107,1),(110,1),(153,1),(157,1),(192,1),(209,1)}
       134:{1,3,6}:{(108,1),(109,1),(163,1)}
       135:{1,2,4,6,7}:{(109,1),(110,1),(157,1),(158,1),(193,1)}
       136:{2,3,4,7}:{(111,1),(113,1),(148,1),(159,1),(207,1),(208,1)}
       137:{1,2,5,7}:{(111,1),(112,1),(149,1),(159,1),(160,1)}
       138:{1,3,6}:{(112,1),(116,1),(160,1),(163,1)}
       139:{3,5,7}:{(113,1),(114,1),(151,1),(163,1)}
       140:{1,2,4,6}:{(114,1),(115,1),(116,1),(119,1),(160,1),(163,1),(165,1),(194,1)}
       141:{2,4,6,7}:{(115,1),(117,1),(120,1),(153,1)}
       142:{1,4,6,7}:{(116,1),(117,1),(121,1),(154,1),(161,1)}
       143:{1,4,5,7}:{(118,1),(155,1),(162,1),(165,1),(193,1)}
       144:{1,3,5,6}:{(118,1),(119,1),(163,1),(165,1),(196,1)}
       145:{1,2,5,6,7}:{(119,1),(120,1),(121,1),(157,1),(164,1),(166,1),(209,1)}
       146:{1,2,4}:{(122,1),(123,1),(167,1)}
       147:{1,3,4,5}:{(123,1),(125,1),(168,1),(169,1),(173,1)}
       148:{2,3,4,6}:{(124,1),(126,1),(136,1),(167,1),(170,1),(179,1),(199,1),(201,1)}
       149:{1,2,5}:{(124,1),(125,1),(170,1)}
       150:{1,3,5,6}:{(125,1),(129,1),(138,1),(169,1),(171,1),(172,1),(174,1)}
       151:{3,5}:{(126,1),(127,1)}
       152:{1,2,4,5,6}:{(127,1),(128,1),(129,1),(132,1),(140,1),(171,1),(174,1),(175,1),(176,1),(183,1),(201,1),(204,1)}
       153:{2,4,5,7}:{(128,1),(130,1),(133,1),(141,1)}
       154:{1,4,5,7}:{(129,1),(130,1),(142,1),(172,1)}
       155:{1,4,5}:{(131,1),(173,1),(176,1)}
       156:{1,3,5,6}:{(131,1),(132,1),(134,1),(174,1),(176,1),(177,1)}
       157:{1,2,5,7}:{(132,1),(133,1),(135,1),(177,1)}
       158:{1,3,6,7}:{(134,1),(135,1),(177,1),(182,1)}
       159:{2,3,5,7}:{(136,1),(137,1),(139,1),(170,1),(178,1),(179,1)}
       160:{1,2,6}:{(137,1),(138,1),(179,1)}
       161:{1,3,6,7}:{(138,1),(142,1),(172,1),(180,1),(182,1)}
       162:{3,4,5,7}:{(139,1),(143,1),(173,1),(178,1),(181,1),(203,1),(206,1)}
       163:{3,6}:{(139,1),(140,1)}
       164:{1,2,4,6,7}:{(140,1),(141,1),(142,1),(145,1),(175,1),(180,1),(182,1),(184,1),(205,1)}
       165:{1,4,6}:{(143,1),(144,1),(181,1)}
       166:{1,3,5,6,7}:{(144,1),(145,1),(177,1),(182,1),(184,1),(206,1)}
       167:{2,3,4}:{(146,1),(185,1)}
       168:{1,2,4,5}:{(146,1),(147,1),(149,1),(185,1),(186,1),(188,1)}
       169:{1,3,4,6}:{(147,1),(150,1),(186,1),(187,1),(191,1)}
       170:{2,3,5}:{(148,1),(149,1),(151,1),(188,1)}
       171:{1,2,5,6}:{(149,1),(150,1),(160,1),(186,1),(189,1),(190,1)}
       172:{1,3,5,7}:{(150,1),(154,1),(161,1),(187,1),(190,1),(192,1)}
       173:{3,4,5}:{(151,1),(155,1),(188,1),(191,1)}
       174:{3,5,6}:{(151,1),(152,1),(163,1),(191,1),(192,1)}
       175:{1,2,4,5,7}:{(152,1),(153,1),(154,1),(157,1),(164,1),(190,1),(192,1),(193,1),(198,1),(208,1),(209,1)}
       176:{1,4,6}:{(155,1),(156,1),(191,1),(193,1)}
       177:{1,3,5,7}:{(156,1),(157,1),(158,1),(192,1),(193,1)}
       178:{2,4,5,7}:{(159,1),(162,1),(188,1),(194,1),(208,1),(209,1)}
       179:{2,3,6}:{(159,1),(160,1),(163,1),(194,1)}
       180:{1,2,6,7}:{(160,1),(161,1),(190,1),(195,1)}
       181:{3,4,6}:{(162,1),(163,1),(165,1),(194,1),(196,1)}
       182:{3,6,7}:{(163,1),(164,1),(192,1)}
       183:{1,4,5,6}:{(165,1),(196,1),(198,1)}
       184:{1,4,6,7}:{(165,1),(166,1),(193,1),(197,1),(198,1)}
       185:{2,3,5}:{(167,1),(168,1),(199,1)}
       186:{1,2,4,6}:{(168,1),(169,1),(171,1),(199,1),(200,1),(201,1)}
       187:{1,3,4,7}:{(169,1),(172,1),(200,1),(203,1)}
       188:{2,4,5}:{(170,1),(173,1),(201,1)}
       189:{2,3,5,6}:{(170,1),(171,1),(174,1),(179,1),(199,1),(201,1),(202,1),(204,1)}
       190:{1,2,5,7}:{(171,1),(172,1),(180,1),(200,1),(202,1)}
       191:{3,4,6}:{(173,1),(174,1),(176,1),(201,1),(203,1)}
       192:{3,5,7}:{(174,1),(175,1),(182,1),(203,1)}
       193:{1,4,7}:{(176,1),(177,1),(203,1)}
       194:{2,4,6}:{(178,1),(179,1),(181,1),(204,1)}
       195:{2,3,6,7}:{(179,1),(180,1),(182,1),(202,1),(205,1)}
       196:{3,5,6}:{(181,1),(183,1),(204,1),(206,1)}
       197:{3,4,6,7}:{(181,1),(182,1),(184,1),(203,1),(205,1),(206,1)}
       198:{1,4,5,7}:{(183,1),(184,1),(206,1)}
       199:{2,3,6}:{(185,1),(186,1),(207,1)}
       200:{1,2,4,7}:{(186,1),(187,1),(190,1),(207,1),(208,1)}
       201:{2,4,6}:{(188,1),(189,1),(191,1),(208,1)}
       202:{2,3,5,7}:{(189,1),(190,1),(192,1),(195,1),(207,1),(208,1),(209,1)}
       203:{3,4,7}:{(191,1),(192,1),(193,1),(208,1)}
       204:{2,5,6}:{(194,1),(196,1),(209,1)}
       205:{2,4,6,7}:{(194,1),(195,1),(197,1),(208,1),(209,1)}
       206:{3,5,7}:{(196,1),(197,1),(198,1),(209,1)}
       207:{2,3,7}:{(199,1),(200,1)}
       208:{2,4,7}:{(201,1),(202,1),(203,1)}
       209:{2,5,7}:{(204,1),(205,1),(206,1)}

1160 :   0:{2,4,5,6,7}:{(1,1),(9,1),(192,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(201,1)}
         2:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(31,1),(190,1)}
         3:{1,5,6,7}:{(1,1),(8,1),(206,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(27,1),(31,1),(157,1)}
         5:{3,4,5,6}:{(7,1),(11,1),(12,1),(36,1),(165,1),(190,1)}
         6:{2,3,4,5,7}:{(13,1),(14,1),(27,1),(60,1),(71,1),(74,1),(103,1),(120,1),(152,1),(156,1)}
         7:{3,4,5,7}:{(2,1),(5,1),(15,1),(16,1),(43,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(199,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(176,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(19,1),(20,1),(42,1),(83,1),(133,1)}
        11:{1,4,5,6}:{(5,1),(15,1),(21,1),(181,1),(199,1)}
        12:{2,4,5,6}:{(5,1),(16,1),(22,1),(145,1),(176,1)}
        13:{2,3,4,6}:{(6,1),(22,1),(24,1),(52,1),(129,1),(174,1),(176,1)}
        14:{1,2,4,5,7}:{(6,1),(24,1),(25,1),(42,1),(55,1),(80,1),(92,1),(95,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(11,1),(26,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(12,1),(27,1)}
        17:{1,3,6,7}:{(8,1),(26,1),(29,1),(31,1),(188,1)}
        18:{2,3,4,6,7}:{(9,1),(13,1),(27,1),(30,1),(31,1),(60,1),(62,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(28,1),(29,1),(31,1),(32,1),(62,1),(153,1)}
        20:{1,3,5,6,7}:{(10,1),(31,1),(32,1),(59,1),(64,1),(109,1)}
        21:{1,3,5,6}:{(11,1),(26,1),(33,1),(34,1),(36,1),(162,1),(188,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(27,1),(35,1),(36,1),(108,1),(120,1)}
        23:{1,2,4,5,6}:{(11,1),(12,1),(28,1),(34,1),(35,1),(36,1),(65,1),(69,1),(70,1),(108,1),(116,1),(153,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(35,1),(37,1),(70,1)}
        25:{1,3,5,7}:{(14,1),(37,1),(39,1),(73,1),(152,1)}
        26:{1,3,5,7}:{(15,1),(17,1),(21,1),(40,1),(41,1),(43,1)}
        27:{2,3,5,7}:{(16,1),(18,1),(22,1),(42,1),(43,1),(83,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(19,1),(23,1),(41,1),(42,1),(43,1),(47,1),(79,1),(80,1),(83,1)}
        29:{1,2,6,7}:{(17,1),(41,1),(44,1),(171,1)}
        30:{1,2,4,6,7}:{(18,1),(24,1),(42,1),(45,1),(80,1)}
        31:{3,6,7}:{(19,1),(43,1),(174,1)}
        32:{1,4,6,7}:{(20,1),(46,1),(47,1),(80,1),(130,1)}
        33:{1,3,4,6}:{(21,1),(40,1),(48,1),(49,1),(52,1)}
        34:{1,2,5,6}:{(21,1),(41,1),(49,1),(50,1),(139,1),(171,1)}
        35:{1,2,5,6}:{(22,1),(24,1),(42,1),(51,1),(95,1)}
        36:{3,5,6}:{(23,1),(43,1),(52,1),(141,1),(174,1)}
        37:{1,3,6}:{(24,1),(25,1),(174,1)}
        38:{1,2,3,5,7}:{(25,1),(53,1),(55,1),(95,1),(97,1)}
        39:{1,3,4,7}:{(25,1),(54,1),(55,1),(80,1),(127,1)}
        40:{1,3,4,7}:{(26,1),(33,1),(57,1),(60,1)}
        41:{1,2,5,7}:{(26,1),(29,1),(34,1),(57,1),(58,1)}
        42:{1,2,5,7}:{(27,1),(30,1),(35,1),(59,1)}
        43:{3,5,7}:{(28,1),(31,1),(36,1),(60,1)}
        44:{2,3,6,7}:{(29,1),(31,1),(58,1),(62,1),(151,1)}
        45:{1,3,6,7}:{(30,1),(31,1),(37,1),(59,1)}
        46:{3,4,6,7}:{(31,1),(32,1),(60,1),(62,1),(64,1),(105,1)}
        47:{1,4,5,7}:{(32,1),(64,1),(65,1)}
        48:{1,3,4,5}:{(33,1),(66,1),(71,1),(159,1),(162,1)}
        49:{1,2,4,6}:{(33,1),(34,1),(57,1),(66,1),(67,1),(69,1)}
        50:{2,3,5,6}:{(34,1),(36,1),(58,1),(67,1),(69,1),(108,1),(114,1),(151,1)}
        51:{1,3,5,6}:{(35,1),(36,1),(37,1),(59,1),(70,1),(73,1)}
        52:{3,4,6}:{(36,1),(60,1),(69,1),(70,1),(71,1)}
        53:{1,2,3,6}:{(37,1),(38,1),(72,1),(123,1)}
        54:{1,3,4,6}:{(37,1),(39,1),(70,1),(72,1),(73,1),(115,1)}
        55:{1,2,4,7}:{(38,1),(39,1),(72,1),(74,1)}
        56:{1,3,4,5,7}:{(39,1),(73,1),(75,1),(76,1),(104,1),(122,1),(152,1),(165,1),(187,1),(198,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(49,1),(77,1),(79,1)}
        58:{2,3,5,7}:{(41,1),(43,1),(44,1),(50,1),(77,1),(79,1),(83,1)}
        59:{1,3,5,7}:{(42,1),(43,1),(45,1),(51,1),(80,1)}
        60:{3,4,7}:{(43,1),(52,1),(79,1),(80,1)}
        61:{1,2,3,6,7}:{(44,1),(45,1),(53,1),(78,1),(82,1),(148,1),(171,1),(174,1),(200,1)}
        62:{2,4,6,7}:{(44,1),(46,1),(79,1),(83,1),(129,1)}
        63:{1,3,4,6,7}:{(45,1),(46,1),(54,1),(80,1),(82,1),(84,1),(127,1),(130,1),(174,1)}
        64:{3,5,7}:{(46,1),(47,1),(83,1),(85,1)}
        65:{1,4,5,6}:{(47,1),(85,1),(130,1)}
        66:{1,2,4,5}:{(48,1),(49,1),(87,1),(91,1),(136,1),(139,1)}
        67:{2,3,6}:{(49,1),(77,1),(87,1)}
        68:{1,2,3,5,6}:{(50,1),(51,1),(53,1),(78,1),(88,1),(90,1),(95,1),(133,1),(139,1),(141,1),(146,1),(171,1),(174,1),(182,1)}
        69:{2,4,6}:{(50,1),(52,1),(79,1),(91,1)}
        70:{1,4,6}:{(51,1),(52,1),(80,1),(92,1)}
        71:{3,4,5}:{(52,1),(91,1),(92,1),(141,1)}
        72:{1,2,4,6}:{(53,1),(54,1),(55,1),(94,1),(95,1)}
        73:{1,3,5}:{(54,1),(92,1),(95,1),(141,1)}
        74:{2,3,4,7}:{(55,1),(94,1),(97,1),(127,1),(186,1)}
        75:{1,2,4,5,7}:{(55,1),(56,1),(95,1),(97,1),(98,1),(145,1),(147,1),(186,1)}
        76:{1,3,4,6}:{(56,1),(96,1),(98,1),(130,1),(174,1),(184,1),(199,1)}
        77:{2,3,7}:{(57,1),(67,1)}
        78:{1,2,3,5,7}:{(58,1),(59,1),(61,1),(68,1),(100,1),(102,1),(107,1),(150,1),(152,1),(169,1),(197,1)}
        79:{2,4,7}:{(58,1),(60,1),(69,1)}
        80:{1,4,7}:{(59,1),(60,1),(70,1)}
        81:{3,4,5,7}:{(60,1),(64,1),(71,1),(103,1),(104,1),(105,1),(152,1)}
        82:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(72,1),(102,1),(106,1),(107,1),(153,1),(207,1)}
        83:{2,5,7}:{(62,1),(64,1),(108,1)}
        84:{1,3,5,7}:{(63,1),(64,1),(73,1),(104,1),(107,1),(109,1),(152,1)}
        85:{3,5,6}:{(64,1),(65,1),(105,1),(108,1)}
        86:{1,4,5,6,7}:{(65,1),(110,1),(155,1)}
        87:{2,3,5}:{(66,1),(67,1),(112,1)}
        88:{1,2,3,6}:{(67,1),(100,1),(111,1),(113,1),(194,1)}
        89:{2,3,4,6}:{(67,1),(69,1),(101,1),(112,1),(113,1),(114,1),(115,1),(151,1)}
        90:{1,2,4,6}:{(68,1),(69,1),(70,1),(102,1),(115,1),(116,1),(168,1),(196,1)}
        91:{2,4,5}:{(69,1),(71,1),(114,1)}
        92:{1,4,5}:{(70,1),(71,1),(73,1)}
        93:{3,4,5,6}:{(71,1),(105,1),(117,1),(118,1),(119,1),(166,1)}
        94:{2,3,4,6}:{(72,1),(74,1),(115,1),(120,1),(123,1),(168,1)}
        95:{1,2,5}:{(72,1),(73,1),(120,1)}
        96:{1,3,5,6}:{(73,1),(76,1),(118,1),(121,1),(122,1),(166,1),(206,1)}
        97:{2,3,5,7}:{(74,1),(75,1),(120,1),(123,1),(152,1)}
        98:{1,2,4,6}:{(75,1),(76,1),(121,1),(123,1),(168,1)}
        99:{1,3,4,6,7}:{(76,1),(122,1),(124,1),(155,1),(191,1),(198,1),(207,1)}
       100:{1,2,3,7}:{(77,1),(88,1),(125,1),(204,1)}
       101:{2,3,4,7}:{(77,1),(79,1),(89,1),(125,1),(126,1),(127,1)}
       102:{1,2,4,7}:{(78,1),(79,1),(80,1),(90,1),(127,1),(186,1),(205,1)}
       103:{2,4,5,7}:{(79,1),(81,1),(83,1),(91,1),(126,1),(129,1)}
       104:{1,4,5,7}:{(80,1),(81,1),(84,1),(92,1),(130,1)}
       105:{3,4,6}:{(81,1),(85,1),(129,1),(130,1),(174,1)}
       106:{2,3,4,6,7}:{(82,1),(94,1),(127,1),(132,1),(148,1),(174,1),(176,1),(186,1),(202,1)}
       107:{1,2,5,7}:{(82,1),(83,1),(84,1),(95,1),(132,1),(133,1),(209,1)}
       108:{2,5,6}:{(83,1),(85,1),(129,1)}
       109:{1,3,5,6}:{(84,1),(85,1),(130,1),(133,1),(174,1)}
       110:{3,5,6,7}:{(85,1),(86,1),(131,1),(134,1)}
       111:{1,2,3,5}:{(87,1),(88,1),(136,1),(139,1),(178,1)}
       112:{2,3,4}:{(87,1),(136,1)}
       113:{1,2,4,6}:{(88,1),(89,1),(125,1),(136,1),(138,1),(139,1),(171,1)}
       114:{2,3,5}:{(89,1),(91,1),(139,1),(141,1)}
       115:{3,4,6}:{(90,1),(127,1),(141,1),(174,1)}
       116:{1,2,4,5}:{(90,1),(91,1),(92,1),(95,1),(139,1),(141,1),(145,1),(181,1)}
       117:{2,4,5,6}:{(91,1),(93,1),(129,1),(140,1),(143,1)}
       118:{1,4,5,6}:{(92,1),(93,1),(96,1),(130,1),(144,1)}
       119:{3,4,5,7}:{(93,1),(131,1),(143,1),(144,1),(185,1)}
       120:{2,3,5}:{(94,1),(95,1),(141,1),(145,1)}
       121:{1,2,5,6}:{(95,1),(96,1),(98,1),(146,1),(147,1)}
       122:{1,3,5,7}:{(96,1),(99,1),(144,1),(147,1),(185,1),(209,1)}
       123:{2,3,6}:{(97,1),(98,1),(174,1)}
       124:{1,2,4,6,7}:{(98,1),(99,1),(147,1),(148,1),(186,1)}
       125:{1,2,4,7}:{(100,1),(101,1),(113,1),(149,1),(150,1)}
       126:{2,3,5,7}:{(101,1),(103,1),(114,1),(150,1),(151,1),(152,1)}
       127:{3,4,7}:{(102,1),(115,1),(152,1)}
       128:{1,2,4,5,7}:{(102,1),(103,1),(104,1),(107,1),(116,1),(150,1),(152,1),(153,1),(156,1),(187,1)}
       129:{2,4,6}:{(103,1),(105,1),(108,1),(151,1)}
       130:{1,4,6}:{(104,1),(105,1),(109,1)}
       131:{3,4,6,7}:{(105,1),(110,1),(119,1),(154,1),(155,1),(191,1)}
       132:{2,3,5,7}:{(106,1),(107,1),(120,1),(152,1),(156,1),(157,1),(208,1)}
       133:{1,2,5,6}:{(107,1),(108,1),(109,1),(153,1),(157,1),(206,1)}
       134:{2,5,6,7}:{(108,1),(110,1),(154,1)}
       135:{1,3,5,6,7}:{(109,1),(110,1),(122,1),(155,1),(158,1),(191,1)}
       136:{1,2,4}:{(111,1),(112,1),(159,1)}
       137:{2,3,4,5}:{(112,1),(114,1),(160,1),(161,1),(165,1)}
       138:{1,3,4,6}:{(113,1),(115,1),(149,1),(159,1),(162,1),(188,1),(194,1),(196,1)}
       139:{1,2,5}:{(113,1),(114,1),(162,1)}
       140:{2,3,5,6}:{(114,1),(117,1),(151,1),(161,1),(163,1),(164,1),(166,1)}
       141:{3,5}:{(115,1),(116,1)}
       142:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(121,1),(153,1),(163,1),(166,1),(167,1),(168,1),(192,1),(196,1),(206,1)}
       143:{2,4,5,7}:{(117,1),(119,1),(154,1),(164,1)}
       144:{1,4,5,7}:{(118,1),(119,1),(122,1),(155,1)}
       145:{2,4,5}:{(120,1),(165,1),(168,1)}
       146:{2,3,5,6}:{(120,1),(121,1),(123,1),(166,1),(168,1),(169,1)}
       147:{1,2,5,7}:{(121,1),(122,1),(124,1),(169,1)}
       148:{2,3,6,7}:{(123,1),(124,1),(169,1),(191,1)}
       149:{1,3,4,7}:{(125,1),(127,1),(138,1),(170,1),(204,1),(205,1)}
       150:{1,2,5,7}:{(125,1),(126,1),(139,1),(170,1),(171,1)}
       151:{2,3,6}:{(126,1),(129,1),(171,1),(174,1)}
       152:{3,5,7}:{(127,1),(128,1),(141,1),(174,1)}
       153:{1,2,4,6}:{(128,1),(129,1),(130,1),(133,1),(171,1),(174,1),(176,1),(199,1)}
       154:{2,4,6,7}:{(129,1),(131,1),(134,1),(143,1),(172,1)}
       155:{1,4,6,7}:{(130,1),(131,1),(135,1),(144,1)}
       156:{2,4,5,7}:{(132,1),(145,1),(173,1),(176,1),(186,1)}
       157:{2,3,5,6}:{(132,1),(133,1),(174,1),(176,1),(201,1)}
       158:{1,2,5,6,7}:{(133,1),(134,1),(135,1),(147,1),(175,1),(177,1),(209,1)}
       159:{1,3,4}:{(136,1),(178,1)}
       160:{1,2,4,5}:{(136,1),(137,1),(139,1),(178,1),(179,1),(181,1)}
       161:{2,3,4,6}:{(137,1),(140,1),(179,1),(180,1),(184,1)}
       162:{1,3,5}:{(138,1),(139,1),(141,1),(181,1)}
       163:{1,2,5,6}:{(139,1),(140,1),(171,1),(179,1),(182,1),(183,1)}
       164:{2,3,5,7}:{(140,1),(143,1),(172,1),(180,1),(183,1),(185,1)}
       165:{3,4,5}:{(141,1),(145,1),(181,1),(184,1)}
       166:{3,5,6}:{(141,1),(142,1),(174,1),(184,1),(185,1)}
       167:{1,2,4,5,7}:{(142,1),(143,1),(144,1),(147,1),(175,1),(183,1),(185,1),(186,1),(203,1),(205,1),(209,1)}
       168:{2,4,6}:{(145,1),(146,1),(184,1),(186,1)}
       169:{2,3,5,7}:{(146,1),(147,1),(148,1),(185,1),(186,1)}
       170:{1,3,5,7}:{(149,1),(150,1),(152,1),(162,1),(187,1),(188,1)}
       171:{1,2,6}:{(150,1),(151,1),(188,1)}
       172:{2,3,6,7}:{(151,1),(154,1),(164,1),(189,1),(191,1)}
       173:{3,4,5,7}:{(152,1),(156,1),(165,1),(187,1),(190,1),(198,1),(208,1)}
       174:{3,6}:{(152,1),(153,1)}
       175:{1,2,4,6,7}:{(153,1),(154,1),(155,1),(158,1),(167,1),(189,1),(191,1),(193,1),(207,1)}
       176:{2,4,6}:{(156,1),(157,1),(190,1)}
       177:{2,3,5,6,7}:{(157,1),(158,1),(169,1),(191,1),(193,1),(208,1)}
       178:{1,3,5}:{(159,1),(160,1),(194,1)}
       179:{1,2,4,6}:{(160,1),(161,1),(163,1),(194,1),(195,1),(196,1)}
       180:{2,3,4,7}:{(161,1),(164,1),(195,1),(198,1)}
       181:{1,4,5}:{(162,1),(165,1),(196,1)}
       182:{1,3,5,6}:{(162,1),(163,1),(166,1),(188,1),(194,1),(196,1),(197,1),(206,1)}
       183:{1,2,5,7}:{(163,1),(164,1),(189,1),(195,1),(197,1)}
       184:{3,4,6}:{(165,1),(166,1),(168,1),(196,1),(198,1)}
       185:{3,5,7}:{(166,1),(167,1),(191,1),(198,1)}
       186:{2,4,7}:{(168,1),(169,1),(198,1)}
       187:{1,4,5,7}:{(170,1),(173,1),(181,1),(199,1),(205,1),(209,1)}
       188:{1,3,6}:{(170,1),(171,1),(174,1),(199,1)}
       189:{1,2,6,7}:{(171,1),(172,1),(183,1),(200,1)}
       190:{3,4,6}:{(173,1),(174,1),(176,1),(199,1),(201,1)}
       191:{3,6,7}:{(174,1),(175,1),(185,1)}
       192:{2,4,5,6}:{(176,1),(201,1),(203,1)}
       193:{2,4,6,7}:{(176,1),(177,1),(186,1),(202,1),(203,1)}
       194:{1,3,6}:{(178,1),(179,1),(204,1)}
       195:{1,2,4,7}:{(179,1),(180,1),(183,1),(204,1),(205,1)}
       196:{1,4,6}:{(181,1),(182,1),(184,1),(205,1)}
       197:{1,3,5,7}:{(182,1),(183,1),(185,1),(200,1),(204,1),(205,1),(209,1)}
       198:{3,4,7}:{(184,1),(185,1),(186,1),(205,1)}
       199:{1,4,6}:{(187,1),(188,1),(190,1),(206,1)}
       200:{1,3,6,7}:{(188,1),(189,1),(191,1),(197,1),(207,1)}
       201:{3,5,6}:{(190,1),(192,1),(206,1),(208,1)}
       202:{3,4,6,7}:{(190,1),(191,1),(193,1),(198,1),(207,1),(208,1)}
       203:{2,4,5,7}:{(192,1),(193,1),(208,1)}
       204:{1,3,7}:{(194,1),(195,1)}
       205:{1,4,7}:{(196,1),(197,1),(198,1)}
       206:{1,5,6}:{(199,1),(201,1),(209,1)}
       207:{1,4,6,7}:{(199,1),(200,1),(202,1),(205,1),(209,1)}
       208:{3,5,7}:{(201,1),(202,1),(203,1),(209,1)}
       209:{1,5,7}:{(206,1),(207,1),(208,1)}

1161 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(17,1),(18,1),(38,1),(47,1),(74,1),(75,1),(78,1),(102,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(58,1),(59,1),(87,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(21,1),(26,1),(27,1),(28,1),(58,1),(59,1)}
         3:{3,5,6}:{(0,1),(6,1),(7,1),(65,1),(89,1),(101,1)}
         4:{3,5,6,7}:{(1,1),(10,1),(11,1),(39,1),(95,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(10,1),(11,1),(40,1),(41,1),(42,1),(78,1)}
         6:{3,5,7}:{(2,1),(3,1),(11,1),(12,1)}
         7:{3,4,6}:{(3,1),(12,1),(15,1),(16,1),(17,1),(48,1),(80,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(16,1),(18,1),(36,1),(48,1),(69,1),(70,1),(74,1),(91,1),(95,1),(102,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(33,1),(48,1),(66,1),(73,1),(75,1),(93,1),(95,1),(103,1)}
        10:{4,6,7}:{(4,1),(21,1),(100,1)}
        11:{3,6,7}:{(5,1),(6,1),(89,1)}
        12:{3,4,7}:{(6,1),(7,1),(26,1),(27,1),(64,1)}
        13:{1,3,5,7}:{(6,1),(8,1),(23,1),(26,1),(28,1),(58,1),(64,1),(88,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(24,1),(27,1),(28,1),(59,1),(64,1),(88,1)}
        15:{3,4,5}:{(7,1),(29,1),(30,1),(65,1),(101,1)}
        16:{1,4,6}:{(7,1),(8,1),(26,1),(29,1),(83,1),(100,1)}
        17:{2,4,6}:{(7,1),(9,1),(27,1),(30,1),(86,1),(100,1)}
        18:{1,2,5,6}:{(8,1),(9,1),(28,1),(31,1),(51,1),(55,1),(81,1),(84,1)}
        19:{2,3,4,6}:{(17,1),(32,1),(33,1),(34,1),(48,1),(66,1),(80,1),(97,1)}
        20:{1,3,4,6}:{(16,1),(35,1),(36,1),(37,1),(48,1),(70,1),(80,1),(97,1)}
        21:{4,5,7}:{(10,1),(38,1),(39,1),(96,1),(104,1)}
        22:{3,4,6,7}:{(10,1),(11,1),(12,1),(39,1),(40,1),(41,1),(43,1),(77,1),(96,1),(97,1)}
        23:{1,3,6,7}:{(11,1),(13,1),(40,1),(42,1),(70,1),(77,1),(91,1)}
        24:{2,3,6,7}:{(11,1),(14,1),(41,1),(42,1),(66,1),(77,1),(93,1)}
        25:{3,4,5,7}:{(12,1),(15,1),(39,1),(43,1),(44,1),(45,1),(79,1),(96,1),(104,1)}
        26:{1,4,7}:{(12,1),(13,1),(16,1),(96,1)}
        27:{2,4,7}:{(12,1),(14,1),(17,1),(96,1)}
        28:{1,2,5,7}:{(13,1),(14,1),(18,1),(42,1),(46,1)}
        29:{1,4,5}:{(15,1),(16,1),(36,1),(102,1),(104,1)}
        30:{2,4,5}:{(15,1),(17,1),(33,1),(103,1),(104,1)}
        31:{1,2,4,6}:{(16,1),(17,1),(18,1),(46,1),(47,1),(48,1)}
        32:{2,3,4,7}:{(19,1),(27,1),(49,1),(50,1),(64,1),(90,1)}
        33:{2,3,5}:{(19,1),(30,1),(51,1),(65,1),(101,1)}
        34:{1,2,4,6}:{(19,1),(50,1),(51,1),(52,1),(81,1),(83,1),(98,1)}
        35:{1,3,4,7}:{(20,1),(26,1),(53,1),(54,1),(64,1),(90,1)}
        36:{1,3,5}:{(20,1),(29,1),(55,1),(65,1),(101,1)}
        37:{1,2,4,6}:{(20,1),(54,1),(55,1),(56,1),(84,1),(86,1),(99,1)}
        38:{4,5,6}:{(21,1),(57,1),(100,1)}
        39:{3,5,7}:{(21,1),(22,1),(57,1),(58,1),(59,1),(101,1)}
        40:{1,4,6,7}:{(22,1),(23,1),(26,1),(58,1),(61,1),(98,1)}
        41:{2,4,6,7}:{(22,1),(24,1),(27,1),(59,1),(62,1),(99,1)}
        42:{1,2,6,7}:{(23,1),(24,1),(28,1),(81,1),(84,1)}
        43:{3,4,6}:{(25,1),(57,1),(61,1),(62,1),(89,1),(100,1)}
        44:{1,4,5,7}:{(25,1),(26,1),(29,1),(53,1),(58,1),(61,1)}
        45:{2,4,5,7}:{(25,1),(27,1),(30,1),(49,1),(59,1),(62,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(28,1),(31,1),(64,1)}
        47:{1,2,4,5}:{(29,1),(30,1),(31,1),(51,1),(55,1),(65,1),(83,1),(86,1)}
        48:{3,6}:{(31,1),(64,1),(65,1)}
        49:{2,3,5,7}:{(32,1),(33,1),(45,1),(66,1),(67,1),(79,1)}
        50:{1,2,4,7}:{(32,1),(34,1),(67,1),(68,1),(92,1)}
        51:{1,2,5}:{(33,1),(34,1),(69,1),(102,1)}
        52:{1,3,6}:{(34,1),(48,1),(68,1),(69,1)}
        53:{1,3,5,7}:{(35,1),(36,1),(44,1),(70,1),(71,1),(79,1)}
        54:{1,2,4,7}:{(35,1),(37,1),(71,1),(72,1),(94,1)}
        55:{1,2,5}:{(36,1),(37,1),(73,1),(103,1)}
        56:{2,3,6}:{(37,1),(48,1),(72,1),(73,1)}
        57:{3,5,6}:{(38,1),(39,1),(43,1),(74,1),(75,1)}
        58:{1,5,7}:{(39,1),(40,1),(74,1),(102,1)}
        59:{2,5,7}:{(39,1),(41,1),(75,1),(103,1)}
        60:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(46,1),(76,1),(77,1),(78,1),(96,1)}
        61:{1,4,6}:{(43,1),(44,1),(70,1),(74,1)}
        62:{2,4,6}:{(43,1),(45,1),(66,1),(75,1)}
        63:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(47,1),(67,1),(71,1),(76,1),(78,1),(79,1),(92,1),(94,1),(96,1),(102,1),(103,1),(104,1)}
        64:{3,7}:{(46,1),(48,1)}
        65:{3,5}:{(47,1),(48,1),(80,1)}
        66:{2,3,6}:{(49,1),(62,1),(81,1),(89,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(51,1),(81,1),(82,1)}
        68:{1,3,7}:{(50,1),(52,1),(64,1)}
        69:{1,3,5}:{(51,1),(52,1),(65,1),(83,1)}
        70:{1,3,6}:{(53,1),(61,1),(84,1),(89,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(55,1),(84,1),(85,1)}
        72:{2,3,7}:{(54,1),(56,1),(64,1)}
        73:{2,3,5}:{(55,1),(56,1),(65,1),(86,1)}
        74:{1,5,6}:{(57,1),(58,1),(61,1)}
        75:{2,5,6}:{(57,1),(59,1),(62,1)}
        76:{1,2,5,7}:{(58,1),(59,1),(60,1),(87,1),(88,1)}
        77:{3,6,7}:{(60,1),(64,1),(88,1),(89,1)}
        78:{1,2,4,6}:{(61,1),(62,1),(63,1),(81,1),(84,1),(87,1),(89,1),(98,1),(99,1),(100,1)}
        79:{3,5,7}:{(63,1),(64,1),(65,1),(89,1),(90,1),(101,1)}
        80:{3,4}:{(65,1),(83,1),(86,1)}
        81:{1,2,6}:{(66,1),(67,1),(91,1)}
        82:{1,3,5,7}:{(67,1),(68,1),(69,1),(79,1),(91,1),(92,1),(102,1)}
        83:{1,4}:{(69,1),(80,1)}
        84:{1,2,6}:{(70,1),(71,1),(93,1)}
        85:{2,3,5,7}:{(71,1),(72,1),(73,1),(79,1),(93,1),(94,1),(103,1)}
        86:{2,4}:{(73,1),(80,1)}
        87:{1,2,5,6}:{(74,1),(75,1),(76,1),(78,1),(95,1),(102,1),(103,1)}
        88:{3,5,7}:{(76,1),(77,1),(95,1),(96,1)}
        89:{3,6}:{(78,1),(79,1)}
        90:{3,4,7}:{(79,1),(80,1),(92,1),(94,1),(96,1),(97,1)}
        91:{1,3,6}:{(81,1),(82,1),(89,1),(98,1)}
        92:{1,4,7}:{(82,1),(83,1),(90,1),(98,1)}
        93:{2,3,6}:{(84,1),(85,1),(89,1),(99,1)}
        94:{2,4,7}:{(85,1),(86,1),(90,1),(99,1)}
        95:{3,5,6}:{(87,1),(88,1),(89,1),(100,1),(101,1)}
        96:{4,7}:{(88,1),(100,1)}
        97:{3,4,6}:{(89,1),(90,1),(98,1),(99,1),(100,1),(101,1)}
        98:{1,4,6}:{(91,1),(92,1),(97,1),(102,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(103,1)}
       100:{4,6}:{(95,1),(96,1),(104,1)}
       101:{3,5}:{(97,1),(102,1),(103,1),(104,1)}
       102:{1,5}:{(98,1),(101,1)}
       103:{2,5}:{(99,1),(101,1)}
       104:{4,5}:{(100,1),(101,1)}

1162 :   0:{1,2,5,6,7}:{(1,1),(2,1),(33,1),(34,1),(65,1)}
         1:{3,5,6,7}:{(0,1),(5,1),(6,1),(20,1),(80,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(21,1),(22,1),(23,1),(78,1)}
         3:{1,2,4,5,6}:{(4,1),(7,1),(19,1),(25,1),(26,1),(27,1),(47,1),(48,1),(55,1),(78,1),(99,1),(103,1),(104,1)}
         4:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(29,1),(30,1),(31,1),(33,1),(34,1)}
         5:{4,6,7}:{(1,1),(9,1),(91,1)}
         6:{3,6,7}:{(2,1),(8,1),(89,1)}
         7:{3,5,6}:{(3,1),(8,1),(13,1),(71,1),(89,1),(102,1)}
         8:{3,5,7}:{(4,1),(6,1),(7,1),(16,1)}
         9:{4,5,7}:{(5,1),(19,1),(20,1),(81,1),(99,1)}
        10:{3,4,6,7}:{(5,1),(6,1),(16,1),(20,1),(21,1),(22,1),(43,1),(50,1),(81,1),(98,1)}
        11:{1,3,6,7}:{(6,1),(17,1),(21,1),(23,1),(50,1),(75,1),(94,1)}
        12:{2,3,6,7}:{(6,1),(18,1),(22,1),(23,1),(50,1),(72,1),(96,1)}
        13:{3,4,6}:{(7,1),(16,1),(24,1),(25,1),(26,1),(56,1),(84,1)}
        14:{1,3,5,6}:{(7,1),(17,1),(25,1),(27,1),(47,1),(53,1),(56,1),(75,1),(80,1),(82,1),(94,1),(103,1)}
        15:{2,3,5,6}:{(7,1),(18,1),(26,1),(27,1),(48,1),(51,1),(56,1),(72,1),(80,1),(83,1),(96,1),(104,1)}
        16:{3,4,7}:{(8,1),(13,1),(29,1),(30,1),(64,1)}
        17:{1,3,5,7}:{(8,1),(11,1),(14,1),(29,1),(31,1),(33,1),(64,1),(66,1)}
        18:{2,3,5,7}:{(8,1),(12,1),(15,1),(30,1),(31,1),(34,1),(64,1),(66,1)}
        19:{4,5,6}:{(9,1),(32,1),(91,1)}
        20:{3,5,7}:{(9,1),(10,1),(32,1),(33,1),(34,1),(102,1)}
        21:{1,4,6,7}:{(10,1),(11,1),(29,1),(33,1),(61,1),(100,1)}
        22:{2,4,6,7}:{(10,1),(12,1),(30,1),(34,1),(62,1),(101,1)}
        23:{1,2,6,7}:{(11,1),(12,1),(31,1),(85,1),(87,1)}
        24:{3,4,5}:{(13,1),(38,1),(39,1),(71,1),(102,1)}
        25:{1,4,6}:{(13,1),(14,1),(29,1),(38,1),(91,1),(92,1)}
        26:{2,4,6}:{(13,1),(15,1),(30,1),(39,1),(91,1),(93,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(31,1),(40,1),(67,1),(69,1),(85,1),(87,1)}
        28:{3,4,5,7}:{(16,1),(20,1),(24,1),(43,1),(44,1),(45,1),(79,1),(81,1),(99,1)}
        29:{1,4,7}:{(16,1),(17,1),(25,1),(81,1)}
        30:{2,4,7}:{(16,1),(18,1),(26,1),(81,1)}
        31:{1,2,5,7}:{(17,1),(18,1),(23,1),(27,1),(46,1)}
        32:{3,5,6}:{(19,1),(20,1),(43,1),(47,1),(48,1)}
        33:{1,5,7}:{(20,1),(21,1),(47,1),(103,1)}
        34:{2,5,7}:{(20,1),(22,1),(48,1),(104,1)}
        35:{1,2,4,6,7}:{(21,1),(22,1),(23,1),(46,1),(49,1),(50,1),(78,1),(81,1)}
        36:{2,3,4,6}:{(26,1),(41,1),(51,1),(52,1),(56,1),(72,1),(84,1),(98,1)}
        37:{1,3,4,6}:{(25,1),(42,1),(53,1),(54,1),(56,1),(75,1),(84,1),(98,1)}
        38:{1,4,5}:{(24,1),(25,1),(53,1),(99,1),(103,1)}
        39:{2,4,5}:{(24,1),(26,1),(51,1),(99,1),(104,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(46,1),(55,1),(56,1)}
        41:{2,3,4,7}:{(30,1),(36,1),(57,1),(58,1),(64,1),(90,1)}
        42:{1,3,4,7}:{(29,1),(37,1),(59,1),(60,1),(64,1),(90,1)}
        43:{3,4,6}:{(28,1),(32,1),(61,1),(62,1),(89,1),(91,1)}
        44:{1,4,5,7}:{(28,1),(29,1),(33,1),(38,1),(59,1),(61,1)}
        45:{2,4,5,7}:{(28,1),(30,1),(34,1),(39,1),(57,1),(62,1)}
        46:{1,2,4,7}:{(29,1),(30,1),(31,1),(40,1),(64,1)}
        47:{1,5,6}:{(32,1),(33,1),(61,1)}
        48:{2,5,6}:{(32,1),(34,1),(62,1)}
        49:{1,2,5,7}:{(33,1),(34,1),(35,1),(65,1),(66,1)}
        50:{3,6,7}:{(35,1),(64,1),(66,1),(89,1)}
        51:{2,3,5}:{(36,1),(39,1),(67,1),(71,1),(102,1)}
        52:{1,2,4,6}:{(36,1),(58,1),(67,1),(68,1),(85,1),(92,1),(100,1)}
        53:{1,3,5}:{(37,1),(38,1),(69,1),(71,1),(102,1)}
        54:{1,2,4,6}:{(37,1),(60,1),(69,1),(70,1),(87,1),(93,1),(101,1)}
        55:{1,2,4,5}:{(38,1),(39,1),(40,1),(67,1),(69,1),(71,1),(92,1),(93,1)}
        56:{3,6}:{(40,1),(64,1),(71,1)}
        57:{2,3,5,7}:{(41,1),(45,1),(51,1),(72,1),(73,1),(79,1)}
        58:{1,2,4,7}:{(41,1),(52,1),(73,1),(74,1),(95,1)}
        59:{1,3,5,7}:{(42,1),(44,1),(53,1),(75,1),(76,1),(79,1)}
        60:{1,2,4,7}:{(42,1),(54,1),(76,1),(77,1),(97,1)}
        61:{1,4,6}:{(43,1),(44,1),(47,1),(75,1)}
        62:{2,4,6}:{(43,1),(45,1),(48,1),(72,1)}
        63:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(49,1),(55,1),(73,1),(76,1),(78,1),(79,1),(81,1),(95,1),(97,1),(99,1),(103,1),(104,1)}
        64:{3,7}:{(46,1),(56,1)}
        65:{1,2,5,6}:{(47,1),(48,1),(49,1),(78,1),(80,1),(103,1),(104,1)}
        66:{3,5,7}:{(49,1),(50,1),(80,1),(81,1)}
        67:{1,2,5}:{(51,1),(52,1),(82,1),(103,1)}
        68:{1,3,6}:{(52,1),(56,1),(74,1),(82,1)}
        69:{1,2,5}:{(53,1),(54,1),(83,1),(104,1)}
        70:{2,3,6}:{(54,1),(56,1),(77,1),(83,1)}
        71:{3,5}:{(55,1),(56,1),(84,1)}
        72:{2,3,6}:{(57,1),(62,1),(85,1),(89,1)}
        73:{1,2,5,7}:{(57,1),(58,1),(67,1),(85,1),(86,1)}
        74:{1,3,7}:{(58,1),(64,1),(68,1)}
        75:{1,3,6}:{(59,1),(61,1),(87,1),(89,1)}
        76:{1,2,5,7}:{(59,1),(60,1),(69,1),(87,1),(88,1)}
        77:{2,3,7}:{(60,1),(64,1),(70,1)}
        78:{1,2,4,6}:{(61,1),(62,1),(63,1),(65,1),(85,1),(87,1),(89,1),(91,1),(100,1),(101,1)}
        79:{3,5,7}:{(63,1),(64,1),(71,1),(89,1),(90,1),(102,1)}
        80:{3,5,6}:{(65,1),(66,1),(89,1),(91,1),(102,1)}
        81:{4,7}:{(66,1),(91,1)}
        82:{1,3,5}:{(67,1),(68,1),(71,1),(92,1)}
        83:{2,3,5}:{(69,1),(70,1),(71,1),(93,1)}
        84:{3,4}:{(71,1),(92,1),(93,1)}
        85:{1,2,6}:{(72,1),(73,1),(94,1)}
        86:{1,3,5,7}:{(73,1),(74,1),(79,1),(82,1),(94,1),(95,1),(103,1)}
        87:{1,2,6}:{(75,1),(76,1),(96,1)}
        88:{2,3,5,7}:{(76,1),(77,1),(79,1),(83,1),(96,1),(97,1),(104,1)}
        89:{3,6}:{(78,1),(79,1)}
        90:{3,4,7}:{(79,1),(81,1),(84,1),(95,1),(97,1),(98,1)}
        91:{4,6}:{(80,1),(81,1),(99,1)}
        92:{1,4}:{(82,1),(84,1)}
        93:{2,4}:{(83,1),(84,1)}
        94:{1,3,6}:{(85,1),(86,1),(89,1),(100,1)}
        95:{1,4,7}:{(86,1),(90,1),(92,1),(100,1)}
        96:{2,3,6}:{(87,1),(88,1),(89,1),(101,1)}
        97:{2,4,7}:{(88,1),(90,1),(93,1),(101,1)}
        98:{3,4,6}:{(89,1),(90,1),(91,1),(100,1),(101,1),(102,1)}
        99:{4,5}:{(91,1),(102,1)}
       100:{1,4,6}:{(94,1),(95,1),(98,1),(103,1)}
       101:{2,4,6}:{(96,1),(97,1),(98,1),(104,1)}
       102:{3,5}:{(98,1),(99,1),(103,1),(104,1)}
       103:{1,5}:{(100,1),(102,1)}
       104:{2,5}:{(101,1),(102,1)}

1163 :   0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(25,1),(29,1),(31,1),(52,1),(58,1),(79,1),(86,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(38,1),(69,1),(96,1),(102,1)}
         2:{1,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(74,1),(101,1)}
         3:{1,3,5,6}:{(2,1),(8,1),(9,1),(27,1),(29,1)}
         4:{2,3,6,7}:{(1,1),(10,1),(29,1),(111,1),(115,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(114,1)}
         6:{1,4,5,7}:{(2,1),(9,1),(12,1),(79,1),(87,1)}
         7:{1,3,5,6,7}:{(3,1),(13,1),(14,1),(35,1),(37,1),(63,1),(123,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(40,1),(74,1)}
         9:{1,4,6}:{(3,1),(6,1),(18,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(125,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(45,1),(47,1),(74,1),(96,1),(103,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(49,1),(81,1),(83,1),(112,1)}
        14:{1,4,6,7}:{(7,1),(9,1),(22,1),(25,1),(79,1),(131,1)}
        15:{1,4,5,6}:{(9,1),(22,1),(27,1)}
        16:{2,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(27,1),(29,1),(30,1)}
        19:{2,4,7}:{(10,1),(28,1),(31,1),(132,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(111,1),(116,1)}
        21:{2,4,5,7}:{(12,1),(30,1),(33,1),(49,1),(80,1),(88,1)}
        22:{1,4,5,7}:{(14,1),(15,1),(35,1),(136,1)}
        23:{2,3,5,6,7}:{(13,1),(16,1),(36,1),(37,1),(64,1),(66,1),(98,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(36,1),(37,1),(38,1),(67,1),(69,1),(96,1),(121,1)}
        25:{3,4,6,7}:{(14,1),(18,1),(35,1),(37,1),(38,1),(62,1),(135,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(39,1),(40,1),(41,1),(65,1),(71,1),(72,1),(73,1),(74,1),(97,1),(103,1),(121,1),(136,1),(139,1)}
        27:{3,5,6}:{(15,1),(18,1),(35,1),(40,1)}
        28:{2,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{2,4,6}:{(18,1),(21,1),(40,1),(44,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(45,1),(126,1)}
        32:{1,3,5,7}:{(20,1),(43,1),(45,1),(47,1),(74,1),(77,1),(105,1)}
        33:{2,3,5,7}:{(20,1),(21,1),(44,1),(46,1),(47,1),(75,1)}
        34:{1,2,4,5,7}:{(22,1),(24,1),(26,1),(48,1),(49,1),(50,1),(79,1),(80,1),(81,1),(83,1)}
        35:{3,5,7}:{(22,1),(25,1),(27,1),(49,1),(138,1)}
        36:{2,4,6,7}:{(23,1),(28,1),(50,1),(51,1),(80,1),(109,1)}
        37:{3,6,7}:{(24,1),(29,1),(48,1),(111,1),(129,1)}
        38:{2,4,6,7}:{(25,1),(30,1),(49,1),(53,1),(80,1),(137,1)}
        39:{3,5,6}:{(26,1),(29,1),(48,1),(54,1),(57,1),(116,1),(129,1),(138,1)}
        40:{2,5,6}:{(27,1),(30,1),(49,1)}
        41:{2,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(58,1)}
        43:{1,3,6}:{(29,1),(32,1),(58,1),(60,1)}
        44:{2,3,6}:{(29,1),(30,1),(33,1),(60,1)}
        45:{1,4,7}:{(31,1),(32,1),(58,1),(117,1)}
        46:{2,3,4,7}:{(31,1),(33,1),(59,1),(61,1),(80,1),(111,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(37,1),(39,1),(62,1)}
        49:{2,5,7}:{(35,1),(38,1),(40,1),(139,1)}
        50:{2,4,5,7}:{(36,1),(41,1),(65,1),(66,1)}
        51:{3,4,6,7}:{(36,1),(37,1),(42,1),(62,1),(66,1),(67,1),(93,1)}
        52:{1,3,6,7}:{(37,1),(43,1),(63,1),(67,1),(69,1),(118,1)}
        53:{2,3,6,7}:{(37,1),(38,1),(44,1),(64,1),(69,1),(133,1)}
        54:{3,4,6}:{(39,1),(62,1),(70,1),(71,1),(72,1),(104,1),(126,1)}
        55:{1,3,5,6}:{(39,1),(43,1),(63,1),(71,1),(73,1),(74,1),(97,1),(101,1),(104,1),(105,1),(118,1)}
        56:{2,3,5,6}:{(39,1),(40,1),(44,1),(64,1),(72,1),(73,1),(75,1),(104,1),(125,1),(133,1),(139,1)}
        57:{3,5}:{(41,1),(42,1),(74,1)}
        58:{1,4,6}:{(42,1),(43,1),(45,1),(74,1)}
        59:{2,3,4,6}:{(42,1),(44,1),(46,1),(72,1),(75,1),(76,1),(104,1),(126,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(54,1),(79,1),(80,1),(111,1)}
        63:{1,3,5,7}:{(48,1),(52,1),(55,1),(79,1),(81,1),(83,1),(111,1)}
        64:{2,3,5,7}:{(48,1),(49,1),(53,1),(56,1),(80,1),(81,1),(111,1)}
        65:{2,4,5,6}:{(50,1),(82,1),(109,1)}
        66:{3,5,7}:{(50,1),(51,1),(57,1),(82,1),(83,1)}
        67:{1,4,6,7}:{(51,1),(52,1),(58,1),(79,1),(83,1),(108,1)}
        68:{2,3,4,6,7}:{(51,1),(53,1),(59,1),(80,1),(84,1),(85,1),(109,1),(111,1),(129,1),(130,1),(137,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(60,1),(81,1),(127,1)}
        70:{3,4,5}:{(54,1),(57,1),(87,1),(88,1),(116,1),(138,1)}
        71:{1,4,6}:{(54,1),(55,1),(79,1),(87,1),(117,1)}
        72:{2,4,6}:{(54,1),(56,1),(80,1),(88,1),(132,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(60,1),(81,1),(89,1),(90,1),(114,1),(127,1)}
        74:{1,5}:{(57,1),(58,1)}
        75:{2,3,5}:{(57,1),(59,1),(88,1),(90,1),(116,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{1,3,7}:{(61,1),(91,1),(111,1)}
        78:{3,4,5,7}:{(62,1),(66,1),(70,1),(93,1),(94,1),(95,1),(122,1)}
        79:{1,4,7}:{(62,1),(63,1),(71,1)}
        80:{2,4,7}:{(62,1),(64,1),(72,1)}
        81:{1,2,5,7}:{(63,1),(64,1),(69,1),(73,1),(96,1)}
        82:{3,5,6}:{(65,1),(66,1),(93,1),(97,1)}
        83:{1,5,7}:{(66,1),(67,1),(74,1),(97,1)}
        84:{2,3,5,7}:{(66,1),(68,1),(75,1),(95,1),(98,1),(99,1),(122,1),(139,1)}
        85:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(96,1),(99,1),(100,1),(121,1),(124,1)}
        86:{1,3,4,6}:{(71,1),(92,1),(101,1),(102,1),(104,1),(118,1),(126,1),(135,1)}
        87:{1,4,5}:{(70,1),(71,1),(74,1),(101,1)}
        88:{2,4,5}:{(70,1),(72,1),(75,1),(139,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(73,1),(96,1),(103,1),(104,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{1,3,6}:{(76,1),(77,1),(104,1),(105,1)}
        92:{1,3,4,7}:{(79,1),(86,1),(106,1),(107,1),(111,1),(130,1)}
        93:{3,4,6}:{(78,1),(82,1),(108,1),(109,1),(129,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(106,1),(108,1)}
        95:{2,4,5,7}:{(78,1),(80,1),(84,1),(88,1),(109,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(89,1),(111,1)}
        97:{1,5,6}:{(82,1),(83,1),(108,1)}
        98:{2,3,5,6}:{(82,1),(84,1),(109,1),(112,1),(129,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(85,1),(90,1),(112,1),(113,1)}
       100:{1,3,6,7}:{(85,1),(91,1),(111,1),(113,1),(129,1)}
       101:{1,3,5}:{(86,1),(87,1),(114,1),(116,1),(138,1)}
       102:{1,2,4,6}:{(86,1),(107,1),(114,1),(115,1),(127,1),(132,1),(137,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(89,1),(90,1),(114,1),(116,1),(117,1),(132,1)}
       104:{3,6}:{(89,1),(111,1),(116,1)}
       105:{1,3,5}:{(90,1),(91,1),(116,1),(117,1)}
       106:{1,3,5,7}:{(92,1),(94,1),(101,1),(118,1),(119,1),(122,1)}
       107:{1,2,4,7}:{(92,1),(102,1),(119,1),(120,1),(134,1)}
       108:{1,4,6}:{(93,1),(94,1),(97,1),(118,1)}
       109:{2,4,6}:{(93,1),(95,1),(98,1)}
       110:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(103,1),(119,1),(121,1),(122,1),(124,1),(134,1),(136,1),(139,1)}
       111:{3,7}:{(96,1),(104,1)}
       112:{1,2,5,6}:{(97,1),(98,1),(99,1),(121,1),(123,1),(139,1)}
       113:{1,3,5,7}:{(99,1),(100,1),(105,1),(122,1),(123,1),(124,1)}
       114:{1,2,5}:{(101,1),(102,1),(125,1),(139,1)}
       115:{2,3,6}:{(102,1),(104,1),(120,1),(125,1)}
       116:{3,5}:{(103,1),(104,1),(126,1)}
       117:{1,4}:{(105,1),(126,1)}
       118:{1,3,6}:{(106,1),(108,1),(127,1),(129,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(114,1),(127,1),(128,1)}
       120:{2,3,7}:{(107,1),(111,1),(115,1)}
       121:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1),(131,1),(137,1)}
       122:{3,5,7}:{(110,1),(111,1),(116,1),(129,1),(130,1),(138,1)}
       123:{1,3,5,6}:{(112,1),(113,1),(129,1),(131,1),(138,1)}
       124:{1,4,7}:{(113,1),(117,1),(130,1),(131,1)}
       125:{2,3,5}:{(114,1),(115,1),(116,1),(132,1)}
       126:{3,4}:{(116,1),(117,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{2,3,5,7}:{(119,1),(120,1),(122,1),(125,1),(133,1),(134,1),(139,1)}
       129:{3,6}:{(121,1),(122,1)}
       130:{3,4,7}:{(122,1),(124,1),(126,1),(134,1),(135,1)}
       131:{1,4,6}:{(123,1),(124,1),(135,1),(136,1)}
       132:{2,4}:{(125,1),(126,1)}
       133:{2,3,6}:{(127,1),(128,1),(129,1),(137,1)}
       134:{2,4,7}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,4,6}:{(129,1),(130,1),(131,1),(137,1),(138,1)}
       136:{1,4,5}:{(131,1),(138,1)}
       137:{2,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1164 :   0:{1,2,3,6,7}:{(2,1),(3,1),(37,1),(71,1),(72,1),(76,1),(80,1),(104,1)}
         1:{1,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(37,1),(41,1),(45,1),(71,1),(95,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(6,1),(8,1),(22,1),(61,1),(64,1),(83,1),(88,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(23,1),(57,1),(62,1),(86,1),(87,1),(93,1)}
         4:{1,3,5,7}:{(1,1),(6,1),(9,1),(10,1),(23,1),(59,1),(63,1)}
         5:{2,3,4,6,7}:{(2,1),(11,1),(15,1),(33,1),(37,1),(42,1),(67,1),(72,1),(96,1),(104,1)}
         6:{1,2,5,7}:{(2,1),(4,1),(11,1),(12,1),(79,1),(81,1),(94,1)}
         7:{1,2,3,5,6}:{(3,1),(12,1),(14,1),(37,1),(40,1),(74,1),(75,1),(76,1),(79,1),(80,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(95,1),(96,1),(100,1)}
         9:{1,3,5,6}:{(4,1),(12,1),(17,1),(37,1),(46,1)}
        10:{1,4,5,7}:{(4,1),(17,1),(18,1),(77,1),(95,1)}
        11:{2,3,5,7}:{(5,1),(6,1),(19,1),(20,1),(23,1),(60,1),(82,1)}
        12:{1,2,5,6}:{(6,1),(9,1),(19,1),(22,1),(65,1),(84,1)}
        13:{1,2,4,5,7}:{(6,1),(8,1),(10,1),(20,1),(22,1),(23,1),(24,1),(31,1),(51,1),(57,1),(92,1),(101,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(89,1),(90,1)}
        15:{3,4,7}:{(8,1),(23,1),(25,1),(103,1)}
        16:{1,3,5,6,7}:{(9,1),(21,1),(28,1),(53,1),(63,1),(86,1)}
        17:{1,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(23,1),(30,1),(31,1),(58,1),(63,1),(85,1)}
        19:{2,3,5,6}:{(11,1),(12,1),(33,1),(37,1),(68,1)}
        20:{2,4,5,7}:{(11,1),(33,1),(34,1),(78,1),(96,1)}
        21:{1,2,5,6,7}:{(12,1),(16,1),(32,1),(35,1),(81,1),(94,1),(97,1)}
        22:{1,2,4,6}:{(12,1),(13,1),(17,1),(33,1),(37,1),(47,1),(69,1),(76,1)}
        23:{3,5,7}:{(13,1),(15,1),(37,1),(40,1),(99,1),(104,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(77,1),(78,1),(79,1)}
        25:{3,4,6}:{(14,1),(15,1),(37,1),(40,1)}
        26:{1,3,4,7}:{(15,1),(38,1),(41,1),(43,1),(95,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(39,1),(42,1),(43,1),(96,1),(104,1)}
        28:{1,4,6,7}:{(16,1),(17,1),(44,1),(45,1),(95,1)}
        29:{1,4,5,6}:{(17,1),(44,1),(46,1)}
        30:{3,4,6}:{(17,1),(18,1),(37,1),(46,1),(47,1)}
        31:{2,4,5,7}:{(18,1),(39,1),(47,1),(78,1),(81,1),(96,1)}
        32:{2,3,5,6,7}:{(19,1),(21,1),(48,1),(53,1),(82,1),(87,1)}
        33:{2,4,6}:{(19,1),(20,1),(50,1)}
        34:{3,4,5,7}:{(20,1),(23,1),(50,1),(51,1),(58,1),(82,1),(85,1)}
        35:{1,2,4,6,7}:{(21,1),(22,1),(28,1),(48,1),(52,1),(53,1),(64,1),(83,1),(88,1),(101,1)}
        36:{1,2,4,5,6}:{(22,1),(24,1),(29,1),(49,1),(52,1),(54,1),(65,1),(84,1),(89,1),(90,1),(91,1)}
        37:{3,6}:{(22,1),(23,1)}
        38:{1,3,5,7}:{(23,1),(26,1),(51,1),(55,1),(57,1),(59,1)}
        39:{2,3,5,7}:{(23,1),(27,1),(31,1),(56,1),(57,1),(60,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(55,1),(59,1),(61,1),(89,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(27,1),(56,1),(60,1),(61,1),(90,1),(102,1),(103,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(57,1),(61,1),(62,1)}
        44:{1,4,5,7}:{(28,1),(29,1),(63,1)}
        45:{3,4,6,7}:{(28,1),(30,1),(53,1),(63,1),(64,1),(85,1)}
        46:{3,5,6}:{(29,1),(30,1),(63,1),(65,1)}
        47:{2,4,6}:{(30,1),(31,1),(56,1),(65,1)}
        48:{2,4,6,7}:{(32,1),(33,1),(66,1),(67,1),(96,1)}
        49:{2,4,5,6}:{(33,1),(66,1),(68,1)}
        50:{3,4,6}:{(33,1),(34,1),(37,1),(68,1),(69,1)}
        51:{1,4,5,7}:{(34,1),(38,1),(69,1),(77,1),(94,1),(95,1)}
        52:{1,2,4,5,7}:{(35,1),(36,1),(44,1),(66,1),(70,1),(81,1),(94,1),(95,1),(96,1),(97,1)}
        53:{3,6,7}:{(35,1),(37,1),(70,1),(104,1)}
        54:{3,5,6}:{(36,1),(37,1),(40,1),(70,1),(73,1)}
        55:{1,3,6}:{(37,1),(38,1),(69,1),(76,1)}
        56:{2,3,6}:{(37,1),(39,1),(47,1),(76,1)}
        57:{1,2,5,7}:{(38,1),(39,1),(43,1),(76,1),(79,1)}
        58:{3,4,5}:{(40,1),(73,1),(77,1),(78,1),(99,1)}
        59:{1,3,5}:{(40,1),(41,1),(77,1),(79,1),(99,1)}
        60:{2,3,5}:{(40,1),(42,1),(78,1),(79,1),(99,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(43,1),(76,1),(79,1),(80,1),(100,1)}
        62:{1,2,3,7}:{(43,1),(80,1),(104,1)}
        63:{3,5,7}:{(44,1),(45,1),(46,1),(81,1)}
        64:{2,4,6,7}:{(45,1),(47,1),(72,1),(81,1),(96,1)}
        65:{2,5,6}:{(46,1),(47,1),(81,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(82,1)}
        67:{3,4,6,7}:{(48,1),(50,1),(53,1),(82,1),(83,1),(85,1)}
        68:{3,5,6}:{(49,1),(50,1),(82,1),(84,1)}
        69:{1,4,6}:{(50,1),(51,1),(55,1),(84,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{1,3,6,7}:{(53,1),(55,1),(83,1),(86,1),(88,1)}
        72:{2,3,6,7}:{(53,1),(56,1),(64,1),(87,1),(88,1)}
        73:{3,4,6}:{(54,1),(58,1),(85,1),(89,1),(90,1),(102,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(59,1),(84,1),(86,1),(89,1),(91,1),(102,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(60,1),(65,1),(87,1),(90,1),(91,1),(102,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{1,4,5}:{(58,1),(59,1),(89,1)}
        78:{2,4,5}:{(58,1),(60,1),(90,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(62,1),(93,1),(102,1)}
        81:{2,5,7}:{(63,1),(64,1),(65,1)}
        82:{3,5,7}:{(66,1),(67,1),(68,1),(94,1)}
        83:{1,4,6,7}:{(67,1),(69,1),(71,1),(94,1),(95,1)}
        84:{1,5,6}:{(68,1),(69,1),(94,1)}
        85:{3,4,7}:{(70,1),(73,1),(95,1),(96,1),(104,1)}
        86:{1,3,5,7}:{(70,1),(71,1),(74,1),(94,1),(95,1),(97,1),(104,1)}
        87:{2,3,5,7}:{(70,1),(72,1),(75,1),(81,1),(96,1),(97,1),(104,1)}
        88:{1,2,6,7}:{(71,1),(72,1),(76,1),(97,1)}
        89:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        90:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        91:{1,2,5,6}:{(74,1),(75,1),(76,1),(79,1),(97,1),(98,1)}
        92:{1,2,4,5}:{(77,1),(78,1),(79,1),(98,1),(99,1),(100,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(99,1),(100,1)}
        94:{1,5,7}:{(82,1),(83,1),(84,1)}
        95:{1,4,7}:{(85,1),(86,1),(89,1)}
        96:{2,4,7}:{(85,1),(87,1),(90,1)}
        97:{1,2,5,7}:{(86,1),(87,1),(88,1),(91,1),(101,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(92,1),(101,1),(102,1)}
        99:{3,5}:{(92,1),(102,1),(103,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       102:{3,6}:{(98,1),(99,1),(104,1)}
       103:{3,4}:{(99,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1165 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(63,1),(117,1)}
         1:{1,3,4,6}:{(4,1),(5,1),(6,1),(17,1),(25,1),(26,1),(61,1),(63,1)}
         2:{1,2,3,5}:{(0,1),(9,1),(11,1),(32,1),(36,1),(86,1)}
         3:{1,2,3,7}:{(0,1),(10,1),(95,1),(145,1),(185,1)}
         4:{1,2,4,6}:{(0,1),(1,1),(7,1),(9,1),(10,1),(11,1),(40,1)}
         5:{1,3,4,7}:{(1,1),(10,1),(13,1),(35,1),(46,1),(95,1),(187,1)}
         6:{1,3,5}:{(1,1),(11,1),(12,1),(36,1),(93,1)}
         7:{2,3,4,6}:{(4,1),(15,1),(16,1),(17,1),(52,1),(53,1),(61,1),(63,1)}
         8:{1,2,3,5,7}:{(2,1),(3,1),(18,1),(19,1),(21,1),(55,1),(62,1),(64,1),(114,1),(116,1)}
         9:{1,2,4}:{(2,1),(17,1)}
        10:{1,2,4,7}:{(3,1),(4,1),(5,1),(15,1),(21,1),(204,1)}
        11:{1,2,5}:{(4,1),(6,1),(16,1)}
        12:{1,4,5}:{(6,1),(23,1),(25,1),(124,1)}
        13:{1,3,5,7}:{(5,1),(6,1),(21,1),(24,1),(26,1),(62,1),(206,1),(228,1)}
        14:{1,3,5,6}:{(6,1),(22,1),(25,1),(26,1),(27,1),(48,1),(63,1),(72,1),(125,1)}
        15:{2,3,4,7}:{(7,1),(10,1),(30,1),(35,1),(82,1),(95,1),(186,1)}
        16:{2,3,5}:{(7,1),(11,1),(29,1),(36,1),(93,1)}
        17:{3,4}:{(9,1),(36,1)}
        18:{1,2,3,6}:{(8,1),(37,1),(40,1),(94,1),(144,1)}
        19:{1,2,4,7}:{(8,1),(9,1),(35,1),(37,1),(142,1)}
        20:{1,2,4,5}:{(9,1),(11,1),(12,1),(29,1),(36,1),(39,1),(42,1),(78,1),(86,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(13,1),(30,1),(40,1),(218,1),(230,1)}
        22:{1,2,5,6}:{(11,1),(14,1),(31,1),(39,1),(40,1),(41,1),(74,1),(134,1)}
        23:{3,4,5}:{(12,1),(36,1),(42,1),(44,1)}
        24:{1,4,5,7}:{(12,1),(13,1),(43,1),(45,1),(46,1),(102,1),(191,1),(222,1)}
        25:{1,4,6}:{(12,1),(14,1),(44,1),(46,1),(152,1)}
        26:{1,3,6}:{(13,1),(40,1),(45,1),(94,1)}
        27:{1,3,5,7}:{(14,1),(41,1),(46,1),(47,1),(75,1),(95,1),(102,1),(153,1)}
        28:{1,4,5,6}:{(25,1),(48,1),(49,1),(72,1),(130,1)}
        29:{2,4,5}:{(16,1),(50,1),(52,1),(124,1)}
        30:{2,3,5,7}:{(15,1),(16,1),(21,1),(51,1),(53,1),(62,1),(205,1),(227,1)}
        31:{2,3,5,6}:{(16,1),(22,1),(52,1),(53,1),(54,1),(63,1),(106,1),(112,1),(125,1)}
        32:{1,2,3}:{(56,1)}
        33:{2,3,4}:{(17,1),(56,1),(58,1)}
        34:{1,3,4}:{(17,1),(56,1),(60,1)}
        35:{3,4,7}:{(17,1),(19,1),(61,1),(62,1),(166,1),(176,1)}
        36:{3,5}:{(17,1),(20,1),(63,1)}
        37:{1,2,4,6}:{(18,1),(19,1),(61,1),(64,1)}
        38:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(24,1),(51,1),(62,1),(64,1),(65,1),(66,1),(68,1),(108,1),(116,1),(124,1),(127,1),(167,1),(176,1),(208,1)}
        39:{1,2,4,6}:{(20,1),(22,1),(25,1),(52,1),(63,1),(66,1),(69,1),(109,1),(117,1)}
        40:{1,2,6}:{(21,1),(26,1),(53,1)}
        41:{1,2,5,7}:{(22,1),(27,1),(54,1),(66,1),(67,1),(103,1),(159,1)}
        42:{2,4,5}:{(23,1),(58,1),(69,1)}
        43:{3,4,5,7}:{(23,1),(24,1),(62,1),(68,1),(70,1),(71,1),(124,1),(131,1),(170,1),(176,1),(210,1)}
        44:{3,4,6}:{(23,1),(25,1),(48,1),(63,1),(69,1),(71,1)}
        45:{1,4,6}:{(24,1),(26,1),(70,1),(72,1)}
        46:{1,4,7}:{(25,1),(27,1),(71,1),(176,1)}
        47:{1,3,6,7}:{(26,1),(27,1),(67,1),(73,1),(104,1),(126,1),(228,1)}
        48:{3,5,6}:{(28,1),(44,1),(74,1),(75,1)}
        49:{1,4,5,7}:{(28,1),(46,1),(75,1),(76,1),(102,1),(156,1)}
        50:{3,4,5}:{(29,1),(36,1),(78,1),(80,1)}
        51:{2,4,5,7}:{(29,1),(30,1),(79,1),(81,1),(82,1),(141,1),(194,1),(223,1)}
        52:{2,4,6}:{(29,1),(31,1),(80,1),(82,1),(152,1)}
        53:{2,3,6}:{(30,1),(40,1),(81,1),(94,1)}
        54:{2,3,5,7}:{(31,1),(41,1),(82,1),(83,1),(95,1),(135,1),(141,1),(153,1)}
        55:{1,2,3,7}:{(32,1),(84,1),(85,1),(221,1),(230,1)}
        56:{1,2,4}:{(32,1),(33,1),(34,1),(86,1)}
        57:{2,3,4,7}:{(33,1),(35,1),(85,1),(87,1),(88,1),(193,1),(221,1)}
        58:{2,3,5}:{(33,1),(36,1),(42,1),(86,1),(89,1)}
        59:{1,3,4,7}:{(34,1),(35,1),(85,1),(90,1),(91,1),(196,1),(221,1)}
        60:{1,3,5}:{(34,1),(36,1),(78,1),(86,1),(92,1)}
        61:{3,4,6}:{(35,1),(37,1),(93,1),(94,1),(152,1)}
        62:{3,5,7}:{(35,1),(36,1),(38,1),(93,1),(94,1),(95,1),(188,1),(221,1)}
        63:{3,6}:{(36,1),(39,1),(95,1)}
        64:{1,2,5}:{(37,1),(93,1)}
        65:{1,2,4,6}:{(38,1),(40,1),(45,1),(81,1),(94,1),(96,1),(98,1),(137,1),(144,1),(152,1)}
        66:{1,2,4,7}:{(39,1),(41,1),(46,1),(82,1),(95,1),(99,1),(138,1),(145,1)}
        67:{1,2,6,7}:{(40,1),(41,1),(47,1),(83,1),(132,1),(180,1),(230,1)}
        68:{2,4,5,7}:{(42,1),(43,1),(88,1),(98,1),(99,1),(146,1),(155,1),(193,1)}
        69:{2,4,6}:{(42,1),(44,1),(74,1),(89,1),(99,1)}
        70:{3,4,6}:{(43,1),(45,1),(94,1),(98,1),(100,1),(152,1)}
        71:{3,4,7}:{(44,1),(46,1),(75,1),(95,1),(99,1)}
        72:{1,5,6}:{(45,1),(100,1),(102,1)}
        73:{1,4,6,7}:{(45,1),(46,1),(47,1),(101,1),(102,1),(214,1),(222,1)}
        74:{2,5,6}:{(48,1),(69,1),(103,1)}
        75:{3,5,7}:{(48,1),(49,1),(71,1),(103,1),(104,1)}
        76:{1,4,6,7}:{(49,1),(104,1),(105,1),(158,1)}
        77:{2,4,5,6}:{(52,1),(106,1),(107,1),(112,1),(164,1)}
        78:{1,4,5}:{(50,1),(60,1),(109,1)}
        79:{3,4,5,7}:{(50,1),(51,1),(62,1),(108,1),(110,1),(111,1),(124,1),(165,1),(173,1),(176,1),(212,1)}
        80:{3,4,6}:{(50,1),(52,1),(63,1),(106,1),(109,1),(111,1)}
        81:{2,4,6}:{(51,1),(53,1),(110,1),(112,1)}
        82:{2,4,7}:{(52,1),(54,1),(111,1),(176,1)}
        83:{2,3,6,7}:{(53,1),(54,1),(67,1),(113,1),(126,1),(160,1),(227,1)}
        84:{1,2,3,6}:{(55,1),(114,1),(115,1),(207,1),(226,1)}
        85:{1,2,4,7}:{(55,1),(56,1),(57,1),(59,1),(115,1),(116,1)}
        86:{1,2,5}:{(56,1),(58,1),(60,1),(117,1)}
        87:{2,3,4,6}:{(57,1),(61,1),(115,1),(118,1),(119,1),(166,1),(171,1),(207,1)}
        88:{2,3,5,7}:{(57,1),(58,1),(62,1),(68,1),(116,1),(118,1),(119,1),(120,1)}
        89:{2,3,6}:{(58,1),(63,1),(69,1),(117,1),(120,1)}
        90:{1,3,4,6}:{(59,1),(61,1),(115,1),(121,1),(122,1),(166,1),(174,1),(207,1)}
        91:{1,3,5,7}:{(59,1),(60,1),(62,1),(108,1),(116,1),(121,1),(122,1),(123,1)}
        92:{1,3,6}:{(60,1),(63,1),(109,1),(117,1),(123,1)}
        93:{3,5}:{(61,1),(64,1),(124,1)}
        94:{3,6}:{(62,1),(65,1)}
        95:{3,7}:{(63,1),(66,1)}
        96:{1,2,5,6}:{(64,1),(65,1),(72,1),(112,1),(125,1),(127,1),(128,1),(162,1)}
        97:{1,2,4,6,7}:{(65,1),(66,1),(67,1),(73,1),(113,1),(126,1),(127,1),(129,1),(163,1),(169,1),(176,1),(208,1)}
        98:{2,4,6}:{(68,1),(70,1),(119,1),(128,1)}
        99:{2,4,7}:{(69,1),(71,1),(103,1),(120,1)}
       100:{3,5,6}:{(70,1),(72,1),(128,1),(130,1),(131,1)}
       101:{3,4,6,7}:{(70,1),(71,1),(73,1),(104,1),(126,1),(129,1),(131,1),(158,1),(176,1),(199,1),(210,1)}
       102:{1,5,7}:{(72,1),(73,1),(131,1)}
       103:{2,5,7}:{(74,1),(75,1),(99,1),(132,1)}
       104:{3,6,7}:{(75,1),(76,1),(132,1)}
       105:{1,5,6,7}:{(76,1),(102,1),(133,1),(214,1)}
       106:{3,5,6}:{(77,1),(80,1),(134,1),(135,1)}
       107:{2,4,5,7}:{(77,1),(82,1),(135,1),(136,1),(141,1),(184,1)}
       108:{1,4,5,7}:{(78,1),(79,1),(91,1),(137,1),(138,1),(149,1),(183,1),(196,1)}
       109:{1,4,6}:{(78,1),(80,1),(92,1),(134,1),(138,1)}
       110:{3,4,6}:{(79,1),(81,1),(94,1),(137,1),(139,1),(152,1)}
       111:{3,4,7}:{(80,1),(82,1),(95,1),(135,1),(138,1)}
       112:{2,5,6}:{(81,1),(139,1),(141,1)}
       113:{2,4,6,7}:{(81,1),(82,1),(83,1),(140,1),(141,1),(223,1),(229,1)}
       114:{1,2,3,5}:{(84,1),(142,1),(143,1),(185,1),(188,1),(218,1)}
       115:{1,2,4,6}:{(84,1),(85,1),(87,1),(90,1),(142,1),(143,1),(144,1)}
       116:{1,2,5,7}:{(85,1),(86,1),(88,1),(91,1),(143,1),(144,1),(145,1)}
       117:{1,2,6}:{(86,1),(89,1),(92,1),(145,1)}
       118:{2,3,5}:{(87,1),(93,1),(143,1),(146,1),(188,1)}
       119:{2,3,6}:{(88,1),(94,1),(98,1),(144,1)}
       120:{2,3,7}:{(89,1),(95,1),(99,1),(145,1)}
       121:{1,3,5}:{(90,1),(93,1),(143,1),(149,1),(188,1)}
       122:{1,3,6}:{(91,1),(94,1),(137,1),(144,1)}
       123:{1,3,7}:{(92,1),(95,1),(138,1),(145,1)}
       124:{4,5}:{(93,1),(152,1)}
       125:{3,5,6}:{(93,1),(94,1),(96,1),(152,1),(153,1)}
       126:{3,6,7}:{(94,1),(95,1),(97,1),(153,1),(221,1)}
       127:{1,2,5,7}:{(96,1),(97,1),(102,1),(141,1),(153,1),(155,1),(183,1)}
       128:{2,5,6}:{(98,1),(100,1),(155,1)}
       129:{2,4,6,7}:{(98,1),(99,1),(101,1),(132,1),(148,1),(155,1),(193,1)}
       130:{4,5,6}:{(100,1),(152,1),(156,1)}
       131:{3,5,7}:{(100,1),(101,1),(102,1),(155,1),(156,1)}
       132:{2,6,7}:{(103,1),(104,1)}
       133:{3,5,6,7}:{(104,1),(105,1),(131,1),(157,1),(158,1),(199,1)}
       134:{1,5,6}:{(106,1),(109,1),(159,1)}
       135:{3,5,7}:{(106,1),(107,1),(111,1),(159,1),(160,1)}
       136:{2,4,6,7}:{(107,1),(160,1),(161,1),(201,1)}
       137:{1,4,6}:{(108,1),(110,1),(122,1),(162,1)}
       138:{1,4,7}:{(109,1),(111,1),(123,1),(159,1)}
       139:{3,5,6}:{(110,1),(112,1),(162,1),(164,1),(165,1)}
       140:{3,4,6,7}:{(110,1),(111,1),(113,1),(126,1),(160,1),(163,1),(165,1),(176,1),(201,1),(212,1),(224,1)}
       141:{2,5,7}:{(112,1),(113,1),(165,1)}
       142:{1,2,4}:{(114,1),(166,1)}
       143:{1,2,5}:{(115,1),(118,1),(121,1)}
       144:{1,2,6}:{(116,1),(119,1),(122,1)}
       145:{1,2,7}:{(117,1),(120,1),(123,1)}
       146:{2,4,5}:{(118,1),(124,1),(170,1),(171,1)}
       147:{2,3,5,6}:{(118,1),(119,1),(125,1),(128,1),(168,1),(171,1),(172,1),(177,1),(207,1)}
       148:{2,3,6,7}:{(119,1),(120,1),(126,1),(129,1),(169,1),(172,1),(199,1)}
       149:{1,4,5}:{(121,1),(124,1),(173,1),(174,1)}
       150:{1,3,5,6}:{(121,1),(122,1),(125,1),(162,1),(168,1),(174,1),(175,1),(202,1),(207,1)}
       151:{1,3,6,7}:{(122,1),(123,1),(126,1),(163,1),(169,1),(175,1),(224,1)}
       152:{4,6}:{(124,1),(125,1),(176,1)}
       153:{3,5,7}:{(125,1),(126,1),(127,1),(176,1)}
       154:{2,4,5,6}:{(128,1),(130,1),(171,1),(177,1),(178,1)}
       155:{2,5,7}:{(128,1),(129,1),(131,1)}
       156:{4,5,7}:{(130,1),(131,1),(158,1),(176,1)}
       157:{2,5,6,7}:{(132,1),(133,1),(155,1),(179,1)}
       158:{4,6,7}:{(133,1),(156,1)}
       159:{1,5,7}:{(134,1),(135,1),(138,1),(180,1)}
       160:{3,6,7}:{(135,1),(136,1),(180,1)}
       161:{2,5,6,7}:{(136,1),(141,1),(181,1),(229,1)}
       162:{1,5,6}:{(137,1),(139,1),(183,1)}
       163:{1,4,6,7}:{(137,1),(138,1),(140,1),(151,1),(180,1),(183,1),(196,1)}
       164:{4,5,6}:{(139,1),(152,1),(184,1)}
       165:{3,5,7}:{(139,1),(140,1),(141,1),(183,1),(184,1)}
       166:{3,4}:{(142,1),(188,1)}
       167:{1,2,4,5}:{(142,1),(143,1),(146,1),(149,1),(188,1),(189,1),(191,1),(194,1),(218,1)}
       168:{1,2,5,6}:{(143,1),(144,1),(147,1),(150,1),(189,1),(190,1),(197,1),(216,1)}
       169:{1,2,6,7}:{(144,1),(145,1),(148,1),(151,1),(190,1),(214,1),(229,1)}
       170:{3,4,5}:{(146,1),(188,1),(191,1),(192,1)}
       171:{2,4,6}:{(146,1),(147,1),(152,1),(192,1),(193,1)}
       172:{2,3,5,7}:{(147,1),(148,1),(153,1),(155,1),(190,1),(193,1),(198,1),(221,1)}
       173:{3,4,5}:{(149,1),(188,1),(194,1),(195,1)}
       174:{1,4,6}:{(149,1),(150,1),(152,1),(195,1),(196,1)}
       175:{1,3,5,7}:{(150,1),(151,1),(153,1),(183,1),(190,1),(196,1),(217,1),(221,1)}
       176:{4,7}:{(152,1),(153,1)}
       177:{3,5,6}:{(154,1),(192,1),(197,1),(198,1)}
       178:{2,4,5,7}:{(154,1),(155,1),(156,1),(179,1),(193,1),(198,1)}
       179:{2,4,6,7}:{(157,1),(158,1),(178,1),(199,1)}
       180:{1,6,7}:{(159,1),(160,1)}
       181:{3,5,6,7}:{(160,1),(161,1),(165,1),(200,1),(201,1),(224,1)}
       182:{1,4,5,6}:{(162,1),(164,1),(174,1),(202,1),(203,1)}
       183:{1,5,7}:{(162,1),(163,1),(165,1)}
       184:{4,5,7}:{(164,1),(165,1),(176,1),(201,1)}
       185:{1,2,3}:{(204,1)}
       186:{2,3,4}:{(166,1),(204,1),(205,1)}
       187:{1,3,4}:{(166,1),(204,1),(206,1)}
       188:{3,5}:{(166,1),(167,1),(207,1)}
       189:{1,2,4,6}:{(167,1),(168,1),(171,1),(174,1),(207,1),(208,1),(209,1),(211,1),(226,1)}
       190:{1,2,5,7}:{(168,1),(169,1),(172,1),(175,1),(208,1),(213,1),(225,1)}
       191:{1,4,5}:{(170,1),(206,1),(209,1)}
       192:{3,4,6}:{(170,1),(171,1),(177,1),(207,1),(209,1),(210,1)}
       193:{2,4,7}:{(171,1),(172,1),(176,1),(210,1)}
       194:{2,4,5}:{(173,1),(205,1),(211,1)}
       195:{3,4,6}:{(173,1),(174,1),(202,1),(207,1),(211,1),(212,1)}
       196:{1,4,7}:{(174,1),(175,1),(176,1),(212,1)}
       197:{1,5,6}:{(177,1),(209,1),(213,1)}
       198:{3,5,7}:{(177,1),(178,1),(199,1),(210,1),(213,1)}
       199:{3,6,7}:{(179,1),(198,1),(214,1)}
       200:{1,5,6,7}:{(180,1),(181,1),(183,1),(215,1)}
       201:{4,6,7}:{(181,1),(184,1)}
       202:{3,5,6}:{(182,1),(195,1),(216,1),(217,1)}
       203:{1,4,5,7}:{(182,1),(183,1),(184,1),(196,1),(215,1),(217,1)}
       204:{1,2,4}:{(185,1),(186,1),(187,1),(218,1)}
       205:{2,3,5}:{(186,1),(188,1),(194,1),(218,1),(219,1)}
       206:{1,3,5}:{(187,1),(188,1),(191,1),(218,1),(220,1)}
       207:{3,6}:{(188,1),(189,1),(221,1)}
       208:{1,2,4,7}:{(189,1),(190,1),(193,1),(196,1),(221,1),(222,1),(223,1),(230,1)}
       209:{1,4,6}:{(191,1),(192,1),(197,1),(220,1),(222,1)}
       210:{3,4,7}:{(192,1),(193,1),(198,1),(221,1),(222,1)}
       211:{2,4,6}:{(194,1),(195,1),(216,1),(219,1),(223,1)}
       212:{3,4,7}:{(195,1),(196,1),(217,1),(221,1),(223,1)}
       213:{1,5,7}:{(197,1),(198,1),(214,1),(222,1)}
       214:{1,6,7}:{(199,1),(213,1)}
       215:{1,4,6,7}:{(200,1),(201,1),(203,1),(224,1)}
       216:{2,5,6}:{(202,1),(211,1),(225,1)}
       217:{3,5,7}:{(202,1),(203,1),(212,1),(224,1),(225,1)}
       218:{1,2,5}:{(204,1),(205,1),(206,1),(226,1)}
       219:{2,3,6}:{(205,1),(207,1),(211,1),(226,1),(227,1)}
       220:{1,3,6}:{(206,1),(207,1),(209,1),(226,1),(228,1)}
       221:{3,7}:{(207,1),(208,1)}
       222:{1,4,7}:{(209,1),(210,1),(213,1),(228,1)}
       223:{2,4,7}:{(211,1),(212,1),(225,1),(227,1)}
       224:{3,6,7}:{(215,1),(217,1),(229,1)}
       225:{2,5,7}:{(216,1),(217,1),(223,1),(229,1)}
       226:{1,2,6}:{(218,1),(219,1),(220,1),(230,1)}
       227:{2,3,7}:{(219,1),(221,1),(223,1),(230,1)}
       228:{1,3,7}:{(220,1),(221,1),(222,1),(230,1)}
       229:{2,6,7}:{(224,1),(225,1)}
       230:{1,2,7}:{(226,1),(227,1),(228,1)}

1166 :   0:{1,2,3,7}:{(4,1),(5,1),(136,1),(163,1),(210,1)}
         1:{1,3,4,7}:{(5,1),(6,1),(7,1),(25,1),(97,1),(138,1),(163,1)}
         2:{1,2,3,5,7}:{(0,1),(8,1),(10,1),(11,1),(16,1),(18,1),(41,1),(43,1),(47,1),(48,1)}
         3:{3,4,5,7}:{(12,1),(13,1),(14,1),(47,1),(55,1),(63,1),(105,1),(109,1),(131,1),(176,1),(179,1)}
         4:{1,2,3,6}:{(0,1),(16,1),(17,1),(128,1),(189,1)}
         5:{1,2,4,7}:{(0,1),(1,1),(15,1),(17,1),(18,1),(170,1)}
         6:{1,3,4,6}:{(1,1),(17,1),(19,1),(20,1),(46,1),(59,1),(64,1),(128,1)}
         7:{1,3,5,7}:{(1,1),(13,1),(18,1),(19,1),(20,1),(47,1),(172,1),(218,1)}
         8:{1,2,3,7}:{(21,1),(22,1),(89,1),(200,1),(226,1)}
         9:{2,3,4,7}:{(22,1),(23,1),(24,1),(25,1),(90,1),(144,1),(200,1)}
        10:{1,2,3,6}:{(2,1),(26,1),(36,1),(70,1),(76,1)}
        11:{1,2,4,7}:{(2,1),(25,1),(26,1),(34,1),(68,1)}
        12:{2,4,5,7}:{(3,1),(24,1),(28,1),(71,1),(80,1),(95,1),(144,1),(164,1)}
        13:{1,4,5,7}:{(3,1),(7,1),(29,1),(37,1),(82,1),(97,1),(142,1),(201,1)}
        14:{3,4,6}:{(3,1),(28,1),(29,1),(30,1),(76,1),(147,1)}
        15:{2,3,4,7}:{(5,1),(25,1),(32,1),(33,1),(137,1),(159,1),(163,1)}
        16:{1,2,3,5}:{(4,1),(34,1),(35,1),(89,1),(92,1),(160,1)}
        17:{1,2,4,6}:{(4,1),(5,1),(6,1),(32,1),(34,1),(35,1),(36,1)}
        18:{1,2,5,7}:{(5,1),(7,1),(33,1),(35,1),(36,1),(197,1),(226,1)}
        19:{1,3,5}:{(6,1),(35,1),(37,1),(75,1),(92,1)}
        20:{1,3,6}:{(7,1),(29,1),(36,1),(76,1)}
        21:{1,2,3,6}:{(8,1),(41,1),(42,1),(173,1),(216,1)}
        22:{1,2,4,7}:{(8,1),(9,1),(40,1),(42,1),(43,1),(125,1)}
        23:{2,3,4,6}:{(9,1),(42,1),(44,1),(45,1),(46,1),(101,1),(106,1),(173,1)}
        24:{2,3,5,7}:{(9,1),(12,1),(43,1),(44,1),(45,1),(47,1),(126,1),(190,1)}
        25:{3,4,7}:{(11,1),(46,1),(47,1),(59,1),(101,1),(179,1)}
        26:{1,2,4,6}:{(10,1),(11,1),(46,1),(48,1)}
        27:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(18,1),(43,1),(47,1),(48,1),(49,1),(56,1),(60,1),(98,1),(102,1),(109,1),(112,1),(129,1),(174,1),(179,1)}
        28:{2,4,6}:{(12,1),(14,1),(45,1),(50,1)}
        29:{1,4,6}:{(13,1),(14,1),(20,1),(52,1)}
        30:{3,5,6}:{(14,1),(50,1),(52,1),(54,1),(55,1)}
        31:{3,4,6,7}:{(14,1),(51,1),(53,1),(55,1),(111,1),(119,1),(131,1),(176,1),(179,1),(180,1),(182,1)}
        32:{2,3,4,6}:{(15,1),(17,1),(46,1),(57,1),(58,1),(59,1),(123,1),(128,1)}
        33:{2,3,5,7}:{(15,1),(18,1),(47,1),(56,1),(57,1),(58,1),(171,1),(217,1)}
        34:{1,2,4}:{(16,1),(59,1)}
        35:{1,2,5}:{(17,1),(19,1),(57,1)}
        36:{1,2,6}:{(18,1),(20,1),(58,1)}
        37:{1,4,5}:{(19,1),(63,1),(64,1),(109,1)}
        38:{1,3,5,6}:{(19,1),(20,1),(52,1),(61,1),(64,1),(65,1),(110,1),(117,1),(128,1)}
        39:{1,3,6,7}:{(20,1),(53,1),(62,1),(65,1),(111,1),(182,1),(218,1)}
        40:{1,3,4,7}:{(22,1),(25,1),(66,1),(67,1),(91,1),(196,1),(200,1)}
        41:{1,2,3,5}:{(21,1),(68,1),(69,1),(136,1),(139,1),(197,1)}
        42:{1,2,4,6}:{(21,1),(22,1),(23,1),(66,1),(68,1),(69,1),(70,1)}
        43:{1,2,5,7}:{(22,1),(24,1),(67,1),(69,1),(70,1),(160,1),(210,1)}
        44:{2,3,5}:{(23,1),(69,1),(71,1),(75,1),(139,1)}
        45:{2,3,6}:{(24,1),(28,1),(70,1),(76,1)}
        46:{3,4,6}:{(25,1),(26,1),(75,1),(76,1),(147,1)}
        47:{3,5,7}:{(25,1),(27,1),(75,1),(76,1),(92,1),(139,1),(163,1),(200,1)}
        48:{1,2,5}:{(26,1),(75,1)}
        49:{1,2,4,6}:{(27,1),(28,1),(29,1),(36,1),(70,1),(76,1),(77,1),(85,1),(132,1),(147,1)}
        50:{2,5,6}:{(28,1),(30,1),(80,1)}
        51:{2,4,6,7}:{(28,1),(31,1),(73,1),(80,1),(144,1),(164,1),(205,1)}
        52:{1,5,6}:{(29,1),(30,1),(82,1)}
        53:{1,4,6,7}:{(29,1),(31,1),(39,1),(82,1),(97,1),(201,1),(204,1)}
        54:{4,5,6}:{(30,1),(84,1),(147,1)}
        55:{3,5,7}:{(30,1),(31,1),(80,1),(82,1),(84,1)}
        56:{2,4,5,7}:{(33,1),(74,1),(85,1),(86,1),(156,1),(159,1),(194,1),(225,1)}
        57:{2,3,5}:{(32,1),(35,1),(75,1),(86,1),(92,1)}
        58:{2,3,6}:{(33,1),(36,1),(76,1),(85,1)}
        59:{3,4}:{(34,1),(92,1)}
        60:{1,2,4,5}:{(34,1),(35,1),(37,1),(86,1),(92,1),(93,1),(95,1),(157,1),(160,1)}
        61:{1,2,5,6}:{(35,1),(36,1),(38,1),(87,1),(93,1),(94,1),(153,1),(207,1)}
        62:{1,2,6,7}:{(36,1),(39,1),(88,1),(94,1),(205,1),(226,1),(227,1)}
        63:{3,4,5}:{(37,1),(92,1),(95,1),(96,1)}
        64:{1,4,6}:{(37,1),(38,1),(96,1),(97,1),(147,1)}
        65:{1,3,5,7}:{(38,1),(39,1),(82,1),(94,1),(97,1),(148,1),(154,1),(163,1)}
        66:{1,3,4,6}:{(40,1),(42,1),(46,1),(99,1),(100,1),(101,1),(168,1),(173,1)}
        67:{1,3,5,7}:{(40,1),(43,1),(47,1),(98,1),(99,1),(100,1),(127,1),(191,1)}
        68:{1,2,4}:{(41,1),(101,1)}
        69:{1,2,5}:{(42,1),(44,1),(99,1)}
        70:{1,2,6}:{(43,1),(45,1),(100,1)}
        71:{2,4,5}:{(44,1),(105,1),(106,1),(109,1)}
        72:{2,3,5,6}:{(44,1),(45,1),(50,1),(103,1),(106,1),(107,1),(110,1),(114,1),(173,1)}
        73:{2,3,6,7}:{(45,1),(51,1),(104,1),(107,1),(111,1),(180,1),(190,1)}
        74:{3,4,5,7}:{(47,1),(56,1),(98,1),(108,1),(109,1),(122,1),(167,1),(178,1),(179,1),(188,1),(215,1)}
        75:{3,5}:{(46,1),(48,1),(109,1)}
        76:{3,6}:{(47,1),(49,1)}
        77:{1,2,5,6}:{(48,1),(49,1),(50,1),(52,1),(110,1),(112,1),(120,1),(165,1)}
        78:{1,2,4,6,7}:{(49,1),(51,1),(53,1),(62,1),(104,1),(111,1),(112,1),(121,1),(129,1),(166,1),(174,1),(179,1)}
        79:{2,4,5,6}:{(50,1),(54,1),(106,1),(114,1),(115,1)}
        80:{2,5,7}:{(50,1),(51,1),(55,1)}
        81:{1,4,5,6}:{(52,1),(54,1),(64,1),(117,1),(118,1)}
        82:{1,5,7}:{(52,1),(53,1),(55,1)}
        83:{3,5,6,7}:{(55,1),(113,1),(116,1),(119,1),(180,1),(182,1)}
        84:{4,5,7}:{(54,1),(55,1),(119,1),(179,1)}
        85:{2,4,6}:{(56,1),(58,1),(108,1),(120,1)}
        86:{2,4,5}:{(57,1),(109,1),(122,1),(123,1)}
        87:{2,3,5,6}:{(57,1),(58,1),(61,1),(110,1),(120,1),(123,1),(124,1),(128,1),(185,1)}
        88:{2,3,6,7}:{(58,1),(62,1),(111,1),(121,1),(124,1),(217,1),(220,1)}
        89:{1,2,3}:{(125,1)}
        90:{2,3,4}:{(59,1),(125,1),(126,1)}
        91:{1,3,4}:{(59,1),(125,1),(127,1)}
        92:{3,5}:{(59,1),(60,1),(128,1)}
        93:{1,2,4,6}:{(60,1),(61,1),(64,1),(123,1),(128,1),(129,1),(130,1),(187,1),(189,1)}
        94:{1,2,5,7}:{(61,1),(62,1),(65,1),(124,1),(129,1),(183,1),(221,1)}
        95:{2,4,5}:{(63,1),(126,1),(130,1)}
        96:{3,4,6}:{(63,1),(64,1),(117,1),(128,1),(130,1),(131,1)}
        97:{1,4,7}:{(64,1),(65,1),(131,1),(179,1)}
        98:{1,4,5,7}:{(67,1),(74,1),(132,1),(133,1),(157,1),(193,1),(196,1),(209,1)}
        99:{1,3,5}:{(66,1),(69,1),(75,1),(133,1),(139,1)}
       100:{1,3,6}:{(67,1),(70,1),(76,1),(132,1)}
       101:{3,4}:{(68,1),(139,1)}
       102:{1,2,4,5}:{(68,1),(69,1),(71,1),(133,1),(139,1),(140,1),(142,1),(194,1),(197,1)}
       103:{1,2,5,6}:{(69,1),(70,1),(72,1),(134,1),(140,1),(141,1),(150,1),(223,1)}
       104:{1,2,6,7}:{(70,1),(73,1),(135,1),(141,1),(204,1),(210,1),(230,1)}
       105:{3,4,5}:{(71,1),(139,1),(142,1),(143,1)}
       106:{2,4,6}:{(71,1),(72,1),(143,1),(144,1),(147,1)}
       107:{2,3,5,7}:{(72,1),(73,1),(80,1),(141,1),(144,1),(148,1),(151,1),(200,1)}
       108:{3,4,6}:{(74,1),(76,1),(85,1),(132,1),(145,1),(147,1)}
       109:{4,5}:{(75,1),(147,1)}
       110:{3,5,6}:{(75,1),(76,1),(77,1),(147,1),(148,1)}
       111:{3,6,7}:{(76,1),(78,1),(148,1),(163,1),(200,1)}
       112:{1,2,5,7}:{(77,1),(78,1),(80,1),(82,1),(148,1),(156,1),(193,1)}
       113:{2,5,6,7}:{(80,1),(83,1),(149,1),(205,1)}
       114:{3,5,6}:{(79,1),(143,1),(150,1),(151,1)}
       115:{2,4,5,7}:{(79,1),(80,1),(84,1),(144,1),(149,1),(151,1)}
       116:{1,5,6,7}:{(82,1),(83,1),(152,1),(204,1)}
       117:{3,5,6}:{(81,1),(96,1),(153,1),(154,1)}
       118:{1,4,5,7}:{(81,1),(82,1),(84,1),(97,1),(152,1),(154,1)}
       119:{4,6,7}:{(83,1),(84,1)}
       120:{2,5,6}:{(85,1),(145,1),(156,1)}
       121:{2,4,6,7}:{(85,1),(88,1),(146,1),(156,1),(159,1),(225,1),(230,1)}
       122:{3,4,5}:{(86,1),(92,1),(157,1),(158,1)}
       123:{2,4,6}:{(86,1),(87,1),(147,1),(158,1),(159,1)}
       124:{2,3,5,7}:{(87,1),(88,1),(94,1),(148,1),(156,1),(159,1),(163,1),(208,1)}
       125:{1,2,4}:{(89,1),(90,1),(91,1),(160,1)}
       126:{2,3,5}:{(90,1),(92,1),(95,1),(160,1),(161,1)}
       127:{1,3,5}:{(91,1),(92,1),(157,1),(160,1),(162,1)}
       128:{3,6}:{(92,1),(93,1),(163,1)}
       129:{1,2,4,7}:{(93,1),(94,1),(97,1),(159,1),(163,1),(164,1),(209,1),(210,1)}
       130:{2,4,6}:{(95,1),(96,1),(153,1),(161,1),(164,1)}
       131:{3,4,7}:{(96,1),(97,1),(154,1),(163,1),(164,1)}
       132:{1,4,6}:{(98,1),(100,1),(108,1),(165,1)}
       133:{1,4,5}:{(99,1),(109,1),(167,1),(168,1)}
       134:{1,3,5,6}:{(99,1),(100,1),(103,1),(110,1),(165,1),(168,1),(169,1),(173,1),(212,1)}
       135:{1,3,6,7}:{(100,1),(104,1),(111,1),(166,1),(169,1),(191,1),(228,1)}
       136:{1,2,3}:{(170,1)}
       137:{2,3,4}:{(101,1),(170,1),(171,1)}
       138:{1,3,4}:{(101,1),(170,1),(172,1)}
       139:{3,5}:{(101,1),(102,1),(173,1)}
       140:{1,2,4,6}:{(102,1),(103,1),(106,1),(168,1),(173,1),(174,1),(175,1),(214,1),(216,1)}
       141:{1,2,5,7}:{(103,1),(104,1),(107,1),(169,1),(174,1),(181,1),(229,1)}
       142:{1,4,5}:{(105,1),(172,1),(175,1)}
       143:{3,4,6}:{(105,1),(106,1),(114,1),(173,1),(175,1),(176,1)}
       144:{2,4,7}:{(106,1),(107,1),(176,1),(179,1)}
       145:{3,5,6}:{(108,1),(120,1),(165,1),(177,1),(178,1)}
       146:{3,4,6,7}:{(108,1),(111,1),(121,1),(166,1),(178,1),(179,1),(188,1),(215,1),(219,1),(220,1),(228,1)}
       147:{4,6}:{(109,1),(110,1),(179,1)}
       148:{3,5,7}:{(110,1),(111,1),(112,1),(179,1)}
       149:{2,4,6,7}:{(113,1),(115,1),(119,1),(180,1)}
       150:{1,5,6}:{(114,1),(175,1),(181,1)}
       151:{3,5,7}:{(114,1),(115,1),(176,1),(180,1),(181,1)}
       152:{1,4,6,7}:{(116,1),(118,1),(119,1),(182,1)}
       153:{2,5,6}:{(117,1),(130,1),(183,1)}
       154:{3,5,7}:{(117,1),(118,1),(131,1),(182,1),(183,1)}
       155:{2,4,5,6}:{(120,1),(123,1),(177,1),(185,1),(186,1)}
       156:{2,5,7}:{(120,1),(121,1),(178,1)}
       157:{1,4,5}:{(122,1),(127,1),(187,1)}
       158:{3,4,6}:{(122,1),(123,1),(128,1),(185,1),(187,1),(188,1)}
       159:{2,4,7}:{(123,1),(124,1),(179,1),(188,1)}
       160:{1,2,5}:{(125,1),(126,1),(127,1),(189,1)}
       161:{2,3,6}:{(126,1),(128,1),(130,1),(189,1),(190,1)}
       162:{1,3,6}:{(127,1),(128,1),(187,1),(189,1),(191,1)}
       163:{3,7}:{(128,1),(129,1)}
       164:{2,4,7}:{(130,1),(131,1),(183,1),(190,1)}
       165:{1,5,6}:{(132,1),(145,1),(193,1)}
       166:{1,4,6,7}:{(132,1),(135,1),(146,1),(193,1),(196,1),(209,1),(227,1)}
       167:{3,4,5}:{(133,1),(139,1),(194,1),(195,1)}
       168:{1,4,6}:{(133,1),(134,1),(147,1),(195,1),(196,1)}
       169:{1,3,5,7}:{(134,1),(135,1),(141,1),(148,1),(193,1),(196,1),(200,1),(224,1)}
       170:{1,2,4}:{(136,1),(137,1),(138,1),(197,1)}
       171:{2,3,5}:{(137,1),(139,1),(194,1),(197,1),(198,1)}
       172:{1,3,5}:{(138,1),(139,1),(142,1),(197,1),(199,1)}
       173:{3,6}:{(139,1),(140,1),(200,1)}
       174:{1,2,4,7}:{(140,1),(141,1),(144,1),(196,1),(200,1),(201,1),(225,1),(226,1)}
       175:{1,4,6}:{(142,1),(143,1),(150,1),(199,1),(201,1)}
       176:{3,4,7}:{(143,1),(144,1),(151,1),(200,1),(201,1)}
       177:{4,5,6}:{(145,1),(147,1),(203,1)}
       178:{3,5,7}:{(145,1),(146,1),(156,1),(193,1),(203,1)}
       179:{4,7}:{(147,1),(148,1)}
       180:{3,6,7}:{(149,1),(151,1),(204,1)}
       181:{1,5,7}:{(150,1),(151,1),(201,1),(204,1)}
       182:{3,6,7}:{(152,1),(154,1),(205,1)}
       183:{2,5,7}:{(153,1),(154,1),(164,1),(205,1)}
       184:{2,5,6,7}:{(156,1),(202,1),(206,1),(230,1)}
       185:{3,5,6}:{(155,1),(158,1),(207,1),(208,1)}
       186:{2,4,5,7}:{(155,1),(156,1),(159,1),(203,1),(206,1),(208,1)}
       187:{1,4,6}:{(157,1),(158,1),(162,1),(207,1),(209,1)}
       188:{3,4,7}:{(158,1),(159,1),(163,1),(208,1),(209,1)}
       189:{1,2,6}:{(160,1),(161,1),(162,1),(210,1)}
       190:{2,3,7}:{(161,1),(163,1),(164,1),(210,1)}
       191:{1,3,7}:{(162,1),(163,1),(209,1),(210,1)}
       192:{1,4,5,6}:{(165,1),(168,1),(177,1),(212,1),(213,1)}
       193:{1,5,7}:{(165,1),(166,1),(178,1)}
       194:{2,4,5}:{(167,1),(171,1),(214,1)}
       195:{3,4,6}:{(167,1),(168,1),(173,1),(212,1),(214,1),(215,1)}
       196:{1,4,7}:{(168,1),(169,1),(179,1),(215,1)}
       197:{1,2,5}:{(170,1),(171,1),(172,1),(216,1)}
       198:{2,3,6}:{(171,1),(173,1),(214,1),(216,1),(217,1)}
       199:{1,3,6}:{(172,1),(173,1),(175,1),(216,1),(218,1)}
       200:{3,7}:{(173,1),(174,1)}
       201:{1,4,7}:{(175,1),(176,1),(181,1),(218,1)}
       202:{3,5,6,7}:{(178,1),(184,1),(211,1),(219,1),(220,1),(228,1)}
       203:{4,5,7}:{(177,1),(178,1),(179,1),(219,1)}
       204:{1,6,7}:{(180,1),(181,1)}
       205:{2,6,7}:{(182,1),(183,1)}
       206:{2,4,6,7}:{(184,1),(186,1),(219,1),(220,1)}
       207:{1,5,6}:{(185,1),(187,1),(221,1)}
       208:{3,5,7}:{(185,1),(186,1),(188,1),(220,1),(221,1)}
       209:{1,4,7}:{(187,1),(188,1),(191,1),(221,1)}
       210:{1,2,7}:{(189,1),(190,1),(191,1)}
       211:{1,5,6,7}:{(193,1),(202,1),(222,1),(227,1)}
       212:{3,5,6}:{(192,1),(195,1),(223,1),(224,1)}
       213:{1,4,5,7}:{(192,1),(193,1),(196,1),(203,1),(222,1),(224,1)}
       214:{2,4,6}:{(194,1),(195,1),(198,1),(223,1),(225,1)}
       215:{3,4,7}:{(195,1),(196,1),(200,1),(224,1),(225,1)}
       216:{1,2,6}:{(197,1),(198,1),(199,1),(226,1)}
       217:{2,3,7}:{(198,1),(200,1),(225,1),(226,1)}
       218:{1,3,7}:{(199,1),(200,1),(201,1),(226,1)}
       219:{4,6,7}:{(202,1),(203,1)}
       220:{3,6,7}:{(206,1),(208,1),(227,1)}
       221:{1,5,7}:{(207,1),(208,1),(209,1),(227,1)}
       222:{1,4,6,7}:{(211,1),(213,1),(219,1),(228,1)}
       223:{2,5,6}:{(212,1),(214,1),(229,1)}
       224:{3,5,7}:{(212,1),(213,1),(215,1),(228,1),(229,1)}
       225:{2,4,7}:{(214,1),(215,1),(217,1),(229,1)}
       226:{1,2,7}:{(216,1),(217,1),(218,1)}
       227:{1,6,7}:{(220,1),(221,1)}
       228:{3,6,7}:{(222,1),(224,1),(230,1)}
       229:{2,5,7}:{(223,1),(224,1),(225,1),(230,1)}
       230:{2,6,7}:{(228,1),(229,1)}

1167 :   0:{2,3,4,5,7}:{(1,1),(2,1),(10,1),(41,1),(76,1),(84,1),(91,1),(122,1),(125,1),(130,1)}
         1:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(20,1),(26,1),(53,1),(63,1),(67,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(68,1),(147,1),(150,1),(155,1)}
         3:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(12,1),(39,1),(76,1),(81,1)}
         4:{2,3,5,6,7}:{(10,1),(11,1),(12,1),(13,1),(39,1),(121,1)}
         5:{2,4,5,6,7}:{(12,1),(13,1),(169,1)}
         6:{1,3,5,7}:{(1,1),(15,1),(16,1),(46,1),(125,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(47,1)}
         8:{2,3,5,6}:{(2,1),(10,1),(17,1),(18,1),(48,1),(84,1),(133,1)}
         9:{1,2,4,6,7}:{(3,1),(7,1),(19,1),(20,1),(53,1)}
        10:{2,3,5,7}:{(3,1),(8,1),(20,1),(21,1),(54,1),(107,1)}
        11:{1,2,5,6,7}:{(4,1),(20,1),(22,1),(23,1),(25,1),(96,1),(107,1)}
        12:{2,4,6,7}:{(4,1),(21,1),(24,1),(147,1)}
        13:{3,5,6,7}:{(5,1),(24,1),(25,1),(189,1)}
        14:{1,2,3,5,7}:{(6,1),(26,1),(27,1),(60,1),(63,1)}
        15:{1,3,4,7}:{(6,1),(26,1),(29,1),(53,1),(98,1)}
        16:{1,3,6}:{(6,1),(7,1),(150,1)}
        17:{1,2,5,6}:{(7,1),(8,1),(20,1),(30,1),(63,1)}
        18:{2,4,5,6}:{(8,1),(21,1),(32,1),(110,1),(147,1)}
        19:{1,3,6,7}:{(9,1),(16,1),(35,1),(39,1)}
        20:{1,2,5,7}:{(9,1),(10,1),(17,1),(35,1)}
        21:{2,4,5,7}:{(10,1),(12,1),(18,1),(37,1)}
        22:{1,3,5,6,7}:{(11,1),(35,1),(38,1),(39,1),(74,1),(80,1)}
        23:{1,2,4,6,7}:{(11,1),(12,1),(36,1),(38,1),(39,1),(40,1),(81,1),(82,1),(124,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(39,1),(40,1),(171,1)}
        25:{1,5,6,7}:{(13,1),(40,1),(202,1)}
        26:{1,2,4,7}:{(14,1),(15,1),(41,1),(43,1)}
        27:{1,2,3,6}:{(14,1),(16,1),(43,1),(83,1)}
        28:{1,3,4,5,7}:{(15,1),(42,1),(45,1),(46,1),(75,1),(89,1),(125,1),(136,1),(172,1),(179,1)}
        29:{1,3,4,6}:{(15,1),(16,1),(43,1),(46,1),(47,1),(88,1)}
        30:{1,3,5,6}:{(16,1),(17,1),(35,1),(46,1),(47,1),(48,1)}
        31:{1,2,4,5,6}:{(17,1),(18,1),(36,1),(47,1),(48,1),(49,1),(79,1),(87,1),(93,1),(94,1),(124,1),(133,1)}
        32:{3,4,5,6}:{(18,1),(37,1),(48,1),(49,1),(136,1),(171,1)}
        33:{1,2,3,6,7}:{(19,1),(27,1),(50,1),(51,1),(59,1),(108,1),(150,1),(192,1),(194,1)}
        34:{1,3,4,6,7}:{(19,1),(29,1),(50,1),(52,1),(53,1),(57,1),(98,1),(100,1),(150,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(30,1),(53,1),(54,1)}
        36:{1,2,4,5,7}:{(20,1),(21,1),(23,1),(31,1),(53,1),(54,1),(55,1),(56,1),(103,1),(104,1),(107,1)}
        37:{3,4,5,7}:{(21,1),(24,1),(32,1),(54,1),(55,1)}
        38:{1,4,6,7}:{(22,1),(53,1),(56,1),(57,1),(100,1)}
        39:{3,6,7}:{(23,1),(54,1),(150,1)}
        40:{1,4,6,7}:{(24,1),(25,1),(55,1),(58,1),(191,1)}
        41:{2,3,4,7}:{(26,1),(60,1),(61,1),(98,1),(158,1)}
        42:{1,2,4,5,7}:{(26,1),(28,1),(60,1),(62,1),(63,1),(110,1),(111,1),(158,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(29,1),(61,1),(63,1)}
        44:{1,2,3,5,6}:{(27,1),(30,1),(51,1),(63,1),(64,1),(70,1),(96,1),(109,1),(113,1),(150,1),(163,1),(165,1),(166,1),(194,1)}
        45:{1,3,4,6}:{(28,1),(62,1),(66,1),(100,1),(150,1),(159,1),(191,1)}
        46:{1,3,5}:{(29,1),(63,1),(67,1),(113,1)}
        47:{1,4,6}:{(30,1),(53,1),(67,1),(68,1)}
        48:{3,5,6}:{(31,1),(54,1),(68,1),(113,1),(150,1)}
        49:{1,4,5,6}:{(32,1),(55,1),(69,1),(160,1),(191,1)}
        50:{1,2,4,6,7}:{(33,1),(34,1),(43,1),(71,1),(72,1),(73,1),(81,1),(124,1),(203,1)}
        51:{1,2,3,5,7}:{(33,1),(35,1),(44,1),(72,1),(73,1),(78,1),(125,1),(134,1),(176,1),(177,1),(183,1)}
        52:{1,3,5,7}:{(34,1),(46,1),(72,1),(74,1),(75,1),(80,1),(125,1)}
        53:{1,4,7}:{(35,1),(47,1),(76,1)}
        54:{3,5,7}:{(36,1),(39,1),(48,1),(76,1)}
        55:{1,4,5,7}:{(37,1),(40,1),(49,1),(77,1)}
        56:{1,4,5,7}:{(38,1),(79,1),(80,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(76,1),(80,1),(81,1),(129,1)}
        58:{1,3,6,7}:{(39,1),(40,1),(77,1),(82,1),(174,1)}
        59:{2,3,6,7}:{(39,1),(78,1),(81,1),(82,1),(175,1)}
        60:{2,3,5,7}:{(41,1),(42,1),(83,1),(84,1),(125,1)}
        61:{2,3,4,6}:{(41,1),(43,1),(83,1),(84,1),(88,1),(135,1)}
        62:{1,2,4,6}:{(42,1),(45,1),(83,1),(86,1),(135,1)}
        63:{1,2,5}:{(43,1),(46,1),(84,1)}
        64:{1,2,4,6}:{(44,1),(47,1),(73,1),(87,1),(88,1),(93,1),(135,1),(180,1)}
        65:{1,3,4,6,7}:{(45,1),(85,1),(89,1),(128,1),(173,1),(179,1),(203,1)}
        66:{1,3,5,6}:{(45,1),(46,1),(86,1),(89,1),(90,1),(138,1),(202,1)}
        67:{1,4,5}:{(46,1),(47,1),(91,1)}
        68:{3,4,6}:{(47,1),(48,1),(76,1),(91,1),(93,1)}
        69:{1,3,5,6}:{(48,1),(49,1),(77,1),(92,1),(94,1),(139,1),(174,1)}
        70:{2,3,5,6}:{(48,1),(78,1),(93,1),(94,1),(133,1),(140,1),(145,1),(175,1)}
        71:{2,3,4,6,7}:{(50,1),(61,1),(95,1),(98,1),(108,1),(147,1),(150,1),(158,1),(190,1)}
        72:{1,2,5,7}:{(50,1),(52,1),(63,1),(95,1),(96,1),(107,1),(208,1)}
        73:{1,2,4,7}:{(51,1),(53,1),(64,1),(98,1),(103,1),(158,1),(195,1)}
        74:{1,3,5,6}:{(52,1),(96,1),(100,1),(106,1),(150,1)}
        75:{1,4,5,7}:{(52,1),(53,1),(67,1),(100,1),(101,1)}
        76:{3,4,7}:{(53,1),(54,1),(68,1),(103,1)}
        77:{1,3,5,7}:{(54,1),(55,1),(58,1),(69,1),(102,1),(104,1)}
        78:{2,3,5,7}:{(54,1),(59,1),(70,1),(103,1),(104,1),(107,1),(156,1)}
        79:{1,4,5,6}:{(56,1),(100,1),(106,1)}
        80:{3,5,7}:{(56,1),(57,1),(106,1),(107,1)}
        81:{2,4,6,7}:{(57,1),(59,1),(103,1),(107,1),(155,1)}
        82:{1,2,6,7}:{(58,1),(59,1),(104,1),(194,1)}
        83:{2,3,6}:{(60,1),(62,1),(150,1)}
        84:{2,3,5}:{(61,1),(63,1),(110,1),(113,1)}
        85:{1,2,4,6,7}:{(62,1),(65,1),(108,1),(111,1),(158,1)}
        86:{1,2,5,6}:{(62,1),(63,1),(66,1),(109,1),(111,1)}
        87:{1,2,4,5}:{(63,1),(64,1),(67,1),(110,1),(113,1),(119,1),(160,1),(165,1)}
        88:{3,4,6}:{(64,1),(98,1),(113,1),(150,1)}
        89:{1,3,5,7}:{(65,1),(66,1),(111,1),(116,1),(162,1),(208,1)}
        90:{1,4,5,6}:{(66,1),(67,1),(100,1),(116,1),(117,1)}
        91:{3,4,5}:{(67,1),(68,1),(113,1),(119,1)}
        92:{1,3,4,6}:{(68,1),(69,1),(102,1),(118,1),(120,1)}
        93:{2,4,6}:{(68,1),(70,1),(103,1),(119,1)}
        94:{1,2,5,6}:{(69,1),(70,1),(104,1),(120,1),(165,1),(194,1)}
        95:{2,3,5,7}:{(71,1),(72,1),(84,1),(121,1),(122,1),(125,1),(201,1)}
        96:{1,2,5,6}:{(72,1),(74,1),(121,1),(124,1),(133,1),(202,1)}
        97:{1,2,4,5,7}:{(72,1),(73,1),(75,1),(87,1),(122,1),(124,1),(125,1),(130,1),(172,1),(176,1)}
        98:{3,4,7}:{(73,1),(88,1),(125,1)}
        99:{1,3,5,6,7}:{(74,1),(89,1),(123,1),(128,1),(132,1),(173,1)}
       100:{1,4,6}:{(74,1),(75,1),(129,1)}
       101:{3,4,5,7}:{(75,1),(76,1),(80,1),(91,1),(125,1),(129,1),(130,1)}
       102:{1,3,4,7}:{(76,1),(77,1),(92,1),(131,1)}
       103:{2,4,7}:{(76,1),(78,1),(93,1)}
       104:{1,2,5,7}:{(77,1),(78,1),(82,1),(94,1),(131,1)}
       105:{1,4,5,6,7}:{(79,1),(128,1),(132,1)}
       106:{3,5,6}:{(79,1),(80,1),(129,1),(133,1)}
       107:{2,5,7}:{(80,1),(81,1),(133,1)}
       108:{2,3,6,7}:{(83,1),(85,1),(134,1),(173,1)}
       109:{2,3,5,6}:{(83,1),(84,1),(86,1),(134,1),(135,1),(138,1)}
       110:{2,4,5}:{(84,1),(135,1),(136,1)}
       111:{1,2,5,7}:{(85,1),(86,1),(89,1),(134,1)}
       112:{1,2,4,5,6}:{(86,1),(87,1),(90,1),(124,1),(135,1),(137,1),(138,1),(143,1),(169,1),(180,1),(185,1),(202,1)}
       113:{3,5}:{(87,1),(88,1)}
       114:{1,3,4,6}:{(88,1),(126,1),(139,1),(141,1),(174,1),(180,1),(206,1),(207,1)}
       115:{2,3,4,6}:{(88,1),(93,1),(127,1),(140,1),(141,1),(145,1),(175,1),(187,1)}
       116:{1,4,5,7}:{(89,1),(90,1),(128,1),(142,1)}
       117:{3,4,5,6}:{(90,1),(91,1),(129,1),(138,1),(142,1),(143,1)}
       118:{1,3,4,5}:{(91,1),(92,1),(139,1),(144,1),(207,1)}
       119:{2,4,5}:{(91,1),(93,1),(140,1)}
       120:{1,2,4,6}:{(92,1),(93,1),(94,1),(131,1),(144,1),(145,1)}
       121:{2,3,5,6}:{(95,1),(96,1),(147,1),(150,1),(189,1)}
       122:{2,4,5,7}:{(95,1),(110,1),(147,1),(148,1),(158,1)}
       123:{1,2,5,6,7}:{(96,1),(99,1),(111,1),(146,1),(149,1),(157,1),(208,1)}
       124:{1,2,4,6}:{(96,1),(97,1),(100,1),(147,1),(150,1),(155,1),(191,1),(194,1)}
       125:{3,5,7}:{(97,1),(98,1),(113,1),(150,1)}
       126:{1,3,4,7}:{(98,1),(114,1),(151,1),(153,1),(195,1),(209,1)}
       127:{2,3,4,7}:{(98,1),(103,1),(115,1),(152,1),(153,1),(156,1)}
       128:{1,4,6,7}:{(99,1),(100,1),(116,1),(154,1)}
       129:{3,4,6}:{(100,1),(101,1),(106,1),(150,1),(155,1)}
       130:{2,4,5,7}:{(101,1),(103,1),(107,1),(119,1),(152,1),(155,1)}
       131:{1,2,4,7}:{(102,1),(103,1),(104,1),(120,1),(156,1)}
       132:{3,5,6,7}:{(105,1),(106,1),(154,1),(157,1)}
       133:{2,5,6}:{(106,1),(107,1),(155,1)}
       134:{2,3,5,7}:{(108,1),(109,1),(111,1),(158,1),(162,1)}
       135:{2,4,6}:{(109,1),(110,1),(158,1),(159,1)}
       136:{3,4,5}:{(110,1),(113,1),(159,1),(160,1)}
       137:{1,2,4,5,7}:{(111,1),(112,1),(116,1),(149,1),(158,1),(162,1),(167,1),(188,1),(195,1),(199,1),(208,1)}
       138:{3,5,6}:{(112,1),(113,1),(150,1),(159,1),(162,1)}
       139:{1,3,5}:{(113,1),(114,1),(160,1),(165,1)}
       140:{2,3,5}:{(113,1),(115,1),(119,1),(165,1)}
       141:{1,2,4,6}:{(114,1),(115,1),(153,1),(165,1),(166,1),(194,1),(200,1)}
       142:{3,4,5,7}:{(116,1),(117,1),(154,1),(162,1),(167,1)}
       143:{2,4,5,6}:{(117,1),(119,1),(155,1),(164,1),(167,1)}
       144:{1,2,4,5}:{(118,1),(119,1),(120,1),(165,1),(168,1),(200,1)}
       145:{2,3,6}:{(120,1),(156,1),(168,1)}
       146:{2,3,5,6,7}:{(121,1),(123,1),(134,1),(170,1),(173,1),(201,1)}
       147:{2,4,6}:{(121,1),(122,1),(171,1)}
       148:{3,4,5,7}:{(122,1),(125,1),(136,1),(171,1),(172,1),(179,1),(201,1)}
       149:{1,2,4,6,7}:{(123,1),(124,1),(128,1),(137,1),(170,1),(173,1),(178,1),(203,1),(204,1)}
       150:{3,6}:{(124,1),(125,1)}
       151:{1,3,5,7}:{(125,1),(126,1),(139,1),(172,1),(174,1),(176,1)}
       152:{2,3,5,7}:{(125,1),(127,1),(130,1),(140,1),(175,1),(176,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(141,1),(176,1),(177,1)}
       154:{3,4,6,7}:{(128,1),(129,1),(132,1),(142,1),(173,1),(178,1)}
       155:{2,4,6}:{(129,1),(130,1),(133,1),(175,1)}
       156:{2,3,7}:{(131,1),(145,1)}
       157:{2,5,6,7}:{(132,1),(133,1),(178,1)}
       158:{2,4,7}:{(134,1),(135,1),(179,1)}
       159:{3,4,6}:{(135,1),(136,1),(138,1),(179,1),(180,1)}
       160:{1,4,5}:{(136,1),(139,1),(180,1)}
       161:{2,3,4,5}:{(136,1),(140,1),(181,1),(182,1),(187,1)}
       162:{3,5,7}:{(137,1),(138,1),(173,1),(179,1)}
       163:{1,3,5,6}:{(138,1),(139,1),(174,1),(180,1),(183,1),(185,1),(202,1),(206,1)}
       164:{2,3,5,6}:{(138,1),(140,1),(143,1),(175,1),(181,1),(184,1),(185,1)}
       165:{1,2,5}:{(139,1),(140,1),(141,1)}
       166:{1,2,3,6}:{(141,1),(145,1),(177,1),(186,1),(206,1)}
       167:{2,4,5,7}:{(142,1),(143,1),(178,1),(184,1)}
       168:{2,3,5}:{(144,1),(145,1),(187,1)}
       169:{2,4,5,6}:{(147,1),(188,1),(189,1)}
       170:{2,4,6,7}:{(146,1),(147,1),(158,1),(188,1),(190,1)}
       171:{3,4,6}:{(147,1),(148,1),(150,1),(189,1),(191,1)}
       172:{1,4,5,7}:{(148,1),(151,1),(160,1),(191,1),(195,1),(208,1)}
       173:{3,6,7}:{(149,1),(150,1),(162,1)}
       174:{1,3,6}:{(150,1),(151,1),(191,1),(194,1)}
       175:{2,3,6}:{(150,1),(152,1),(155,1),(194,1)}
       176:{1,2,5,7}:{(151,1),(152,1),(153,1),(165,1),(194,1)}
       177:{1,2,3,7}:{(153,1),(156,1),(166,1),(209,1)}
       178:{2,4,6,7}:{(154,1),(155,1),(157,1),(167,1),(193,1)}
       179:{3,4,7}:{(158,1),(159,1),(162,1),(195,1)}
       180:{1,4,6}:{(159,1),(160,1),(163,1),(195,1)}
       181:{2,3,4,6}:{(159,1),(161,1),(164,1),(196,1),(197,1)}
       182:{1,2,4,5}:{(160,1),(161,1),(165,1),(197,1),(198,1),(200,1)}
       183:{1,3,5,7}:{(162,1),(163,1),(192,1),(195,1),(199,1),(208,1),(209,1)}
       184:{2,3,5,7}:{(162,1),(164,1),(167,1),(193,1),(196,1),(199,1)}
       185:{1,2,5,6}:{(163,1),(164,1),(165,1),(194,1),(197,1),(199,1)}
       186:{1,2,3,5}:{(165,1),(166,1),(168,1),(198,1),(200,1)}
       187:{2,3,4}:{(168,1),(200,1)}
       188:{2,4,5,7}:{(169,1),(170,1),(201,1)}
       189:{3,5,6}:{(169,1),(171,1),(201,1),(202,1)}
       190:{3,4,6,7}:{(170,1),(171,1),(173,1),(179,1),(201,1),(203,1)}
       191:{1,4,6}:{(171,1),(172,1),(174,1),(202,1)}
       192:{1,3,6,7}:{(173,1),(174,1),(183,1),(203,1),(204,1)}
       193:{2,3,6,7}:{(173,1),(175,1),(178,1),(184,1),(204,1)}
       194:{1,2,6}:{(174,1),(175,1),(176,1)}
       195:{1,4,7}:{(179,1),(180,1),(183,1)}
       196:{2,3,4,7}:{(179,1),(181,1),(184,1),(205,1)}
       197:{1,2,4,6}:{(180,1),(181,1),(182,1),(185,1),(205,1),(206,1)}
       198:{1,3,5}:{(182,1),(206,1),(207,1)}
       199:{1,2,5,7}:{(183,1),(184,1),(185,1),(204,1),(205,1)}
       200:{1,2,4}:{(186,1),(187,1),(207,1)}
       201:{3,5,7}:{(188,1),(189,1),(190,1),(208,1)}
       202:{1,5,6}:{(189,1),(191,1),(208,1)}
       203:{1,4,6,7}:{(190,1),(191,1),(192,1),(195,1),(208,1)}
       204:{1,2,6,7}:{(192,1),(193,1),(194,1),(199,1)}
       205:{1,2,4,7}:{(195,1),(196,1),(197,1),(199,1),(209,1)}
       206:{1,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,3,4}:{(198,1),(200,1)}
       208:{1,5,7}:{(201,1),(202,1),(203,1)}
       209:{1,3,7}:{(205,1),(206,1)}

1168 :   0:{1,4,5,6}:{(4,1),(5,1),(29,1),(31,1),(86,1)}
         1:{1,3,4,6}:{(6,1),(7,1),(8,1),(29,1),(40,1),(85,1),(90,1),(129,1),(144,1)}
         2:{3,4,5}:{(11,1),(13,1),(14,1),(61,1)}
         3:{1,5,6,7}:{(10,1),(15,1),(97,1),(112,1)}
         4:{1,4,5,7}:{(0,1),(15,1),(16,1),(52,1),(54,1),(112,1)}
         5:{3,5,6}:{(0,1),(11,1),(16,1),(18,1)}
         6:{1,3,5}:{(1,1),(13,1),(20,1),(61,1),(153,1),(166,1)}
         7:{1,3,4,7}:{(1,1),(19,1),(21,1),(54,1),(111,1),(115,1),(119,1),(152,1)}
         8:{1,2,4,6}:{(1,1),(20,1),(21,1),(22,1),(66,1),(68,1),(123,1)}
         9:{2,3,4}:{(24,1),(26,1),(90,1)}
        10:{3,5,6,7}:{(3,1),(23,1),(27,1),(36,1),(70,1),(81,1)}
        11:{3,4,6}:{(2,1),(5,1),(28,1),(29,1),(30,1),(85,1)}
        12:{3,4,5,7}:{(2,1),(28,1),(32,1),(33,1),(34,1),(77,1),(81,1),(89,1),(124,1),(180,1),(183,1)}
        13:{1,4,5}:{(2,1),(6,1),(29,1),(183,1)}
        14:{2,4,5}:{(2,1),(24,1),(30,1)}
        15:{1,4,6,7}:{(3,1),(4,1),(27,1),(36,1)}
        16:{3,5,7}:{(4,1),(5,1),(28,1),(36,1),(38,1)}
        17:{1,3,5,6}:{(5,1),(6,1),(29,1),(37,1),(39,1),(40,1),(85,1),(86,1),(143,1)}
        18:{2,5,6}:{(5,1),(30,1),(38,1)}
        19:{1,3,5,7}:{(6,1),(7,1),(33,1),(40,1),(41,1),(89,1),(135,1),(169,1),(173,1)}
        20:{1,2,5}:{(6,1),(8,1),(42,1),(147,1)}
        21:{1,2,4,7}:{(7,1),(8,1),(41,1),(43,1),(95,1),(138,1)}
        22:{2,3,6}:{(8,1),(42,1),(43,1),(85,1)}
        23:{2,5,6,7}:{(10,1),(44,1),(63,1),(113,1)}
        24:{2,3,5}:{(9,1),(14,1),(45,1),(48,1),(61,1)}
        25:{2,3,4,7}:{(9,1),(47,1),(49,1),(50,1),(119,1),(149,1),(186,1),(203,1)}
        26:{1,2,4}:{(9,1),(48,1),(51,1),(106,1)}
        27:{4,6,7}:{(10,1),(52,1)}
        28:{3,4,7}:{(11,1),(16,1),(54,1),(55,1),(115,1)}
        29:{1,4,6}:{(11,1),(13,1),(17,1),(54,1),(165,1)}
        30:{2,4,6}:{(11,1),(14,1),(18,1),(45,1),(55,1)}
        31:{4,5,6}:{(52,1),(57,1),(165,1)}
        32:{3,4,6}:{(12,1),(57,1),(58,1),(59,1),(118,1),(165,1)}
        33:{1,4,5,7}:{(12,1),(13,1),(19,1),(54,1),(58,1),(107,1),(112,1),(148,1)}
        34:{2,4,5,7}:{(12,1),(14,1),(47,1),(55,1),(59,1),(108,1),(113,1),(149,1)}
        35:{1,2,4,5}:{(13,1),(14,1),(20,1),(48,1),(56,1),(61,1),(68,1),(106,1),(122,1),(153,1)}
        36:{3,6,7}:{(15,1),(16,1),(63,1)}
        37:{1,3,5,7}:{(16,1),(17,1),(54,1),(62,1),(64,1),(112,1),(115,1),(162,1)}
        38:{2,5,7}:{(16,1),(18,1),(55,1),(63,1)}
        39:{1,2,5,6}:{(17,1),(18,1),(20,1),(56,1),(64,1),(65,1),(66,1),(153,1),(189,1)}
        40:{1,3,6}:{(19,1),(58,1),(66,1),(118,1),(189,1)}
        41:{1,2,5,7}:{(19,1),(20,1),(21,1),(66,1),(67,1),(158,1),(185,1)}
        42:{2,3,5}:{(20,1),(22,1),(61,1),(68,1)}
        43:{2,3,7}:{(21,1),(22,1),(115,1),(161,1)}
        44:{2,4,6,7}:{(23,1),(27,1),(69,1),(70,1)}
        45:{2,3,6}:{(24,1),(30,1),(71,1),(72,1),(85,1)}
        46:{2,4,5,6}:{(31,1),(69,1),(73,1),(87,1),(131,1)}
        47:{2,3,5,7}:{(24,1),(25,1),(34,1),(71,1),(74,1),(75,1),(78,1),(89,1),(207,1)}
        48:{1,2,5}:{(24,1),(26,1),(72,1),(76,1)}
        49:{2,3,4,6}:{(25,1),(74,1),(78,1),(79,1),(131,1),(144,1),(175,1),(179,1),(200,1)}
        50:{1,2,4,7}:{(25,1),(26,1),(75,1),(79,1),(80,1),(134,1)}
        51:{1,3}:{(26,1)}
        52:{4,5,7}:{(27,1),(31,1),(81,1),(180,1)}
        53:{3,4,6,7}:{(27,1),(28,1),(32,1),(36,1),(70,1),(81,1),(82,1),(83,1),(124,1),(140,1),(180,1)}
        54:{1,4,7}:{(28,1),(29,1),(37,1),(180,1)}
        55:{2,4,7}:{(28,1),(30,1),(38,1),(71,1)}
        56:{1,2,4,6}:{(29,1),(30,1),(35,1),(39,1),(72,1),(84,1),(85,1),(93,1),(129,1)}
        57:{3,5,6}:{(31,1),(32,1),(81,1),(86,1),(87,1)}
        58:{1,4,6}:{(32,1),(33,1),(40,1),(86,1)}
        59:{2,4,6}:{(32,1),(34,1),(74,1),(87,1)}
        60:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(41,1),(75,1),(84,1),(88,1),(89,1),(95,1),(134,1),(136,1),(139,1),(146,1),(147,1),(170,1),(173,1),(177,1),(180,1),(183,1),(198,1),(207,1)}
        61:{3,5}:{(35,1),(85,1),(90,1)}
        62:{1,3,6,7}:{(36,1),(37,1),(40,1),(82,1),(91,1),(140,1),(169,1)}
        63:{2,6,7}:{(36,1),(38,1)}
        64:{1,2,5,7}:{(37,1),(38,1),(39,1),(84,1),(91,1),(92,1),(173,1)}
        65:{2,3,5,6}:{(39,1),(42,1),(85,1),(92,1),(93,1),(94,1),(142,1),(143,1),(147,1),(182,1),(184,1)}
        66:{1,2,6}:{(40,1),(41,1),(94,1)}
        67:{2,3,5,7}:{(41,1),(42,1),(43,1),(89,1),(94,1),(95,1),(147,1),(178,1),(196,1),(207,1)}
        68:{2,4}:{(42,1),(90,1)}
        69:{2,4,5,7}:{(44,1),(46,1),(52,1),(96,1),(113,1),(149,1)}
        70:{3,6,7}:{(44,1),(96,1),(97,1)}
        71:{2,3,7}:{(45,1),(55,1),(99,1),(115,1)}
        72:{1,2,6}:{(45,1),(48,1),(99,1),(100,1)}
        73:{3,5,6}:{(46,1),(96,1),(101,1),(102,1)}
        74:{2,3,6}:{(47,1),(59,1),(104,1),(118,1),(209,1)}
        75:{1,2,5,7}:{(47,1),(48,1),(50,1),(99,1),(104,1),(105,1),(109,1)}
        76:{1,3,5}:{(48,1),(51,1),(61,1),(100,1),(106,1),(153,1)}
        77:{3,4,5}:{(101,1),(107,1),(108,1),(159,1)}
        78:{2,3,5}:{(49,1),(108,1),(109,1),(159,1),(166,1),(206,1)}
        79:{1,2,4,6}:{(49,1),(50,1),(104,1),(109,1),(110,1),(157,1),(160,1)}
        80:{1,3,7}:{(50,1),(51,1),(110,1),(186,1)}
        81:{3,5,7}:{(52,1),(53,1),(57,1),(112,1),(113,1)}
        82:{1,4,6,7}:{(53,1),(54,1),(58,1),(62,1),(97,1),(112,1),(148,1)}
        83:{2,4,6,7}:{(53,1),(55,1),(59,1),(63,1),(98,1),(113,1),(149,1)}
        84:{1,2,4,7}:{(54,1),(55,1),(56,1),(64,1),(99,1),(115,1),(121,1),(152,1)}
        85:{3,6}:{(56,1),(61,1),(115,1)}
        86:{1,5,6}:{(57,1),(58,1),(112,1)}
        87:{2,5,6}:{(57,1),(59,1),(113,1)}
        88:{1,2,4,6}:{(58,1),(59,1),(60,1),(66,1),(104,1),(117,1),(118,1),(123,1),(157,1),(165,1),(168,1),(189,1),(205,1),(209,1)}
        89:{3,5,7}:{(60,1),(61,1),(115,1),(118,1),(119,1),(159,1),(166,1),(186,1)}
        90:{3,4}:{(61,1),(68,1),(106,1)}
        91:{1,2,6,7}:{(62,1),(63,1),(64,1),(66,1),(120,1),(185,1),(189,1)}
        92:{2,3,5,7}:{(64,1),(65,1),(115,1),(120,1),(121,1),(162,1),(164,1),(167,1)}
        93:{2,4,6}:{(65,1),(68,1),(116,1),(121,1),(122,1),(165,1)}
        94:{2,3,6}:{(66,1),(67,1),(118,1),(123,1),(209,1)}
        95:{2,4,7}:{(67,1),(68,1),(119,1),(123,1),(193,1)}
        96:{3,5,7}:{(69,1),(70,1),(73,1),(124,1),(125,1)}
        97:{1,6,7}:{(70,1),(125,1)}
        98:{2,3,6,7}:{(70,1),(71,1),(74,1),(83,1),(126,1),(127,1),(140,1)}
        99:{1,2,7}:{(71,1),(72,1),(128,1)}
       100:{1,3,6}:{(72,1),(76,1),(85,1),(128,1),(129,1)}
       101:{3,4,6}:{(73,1),(77,1),(124,1),(130,1),(131,1),(175,1)}
       102:{1,5,6}:{(73,1),(125,1),(130,1)}
       103:{2,3,5,6}:{(73,1),(74,1),(78,1),(87,1),(126,1),(131,1),(132,1),(143,1),(175,1)}
       104:{1,2,6}:{(74,1),(75,1),(133,1)}
       105:{1,3,5,7}:{(75,1),(76,1),(80,1),(89,1),(128,1),(133,1),(134,1),(137,1),(173,1),(177,1)}
       106:{1,4}:{(76,1),(90,1)}
       107:{1,4,5}:{(77,1),(130,1),(135,1)}
       108:{2,4,5}:{(77,1),(78,1),(131,1),(183,1)}
       109:{1,2,5}:{(78,1),(79,1),(137,1),(177,1)}
       110:{1,3,6}:{(79,1),(80,1),(137,1),(175,1)}
       111:{1,3,4}:{(135,1),(138,1),(179,1)}
       112:{1,5,7}:{(81,1),(82,1),(86,1)}
       113:{2,5,7}:{(81,1),(83,1),(87,1)}
       114:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(88,1),(91,1),(127,1),(139,1),(140,1),(145,1),(170,1),(172,1),(180,1)}
       115:{3,7}:{(84,1),(85,1)}
       116:{3,4,6}:{(85,1),(90,1),(93,1),(129,1),(141,1),(142,1),(182,1)}
       117:{1,2,5,6}:{(86,1),(87,1),(88,1),(139,1),(143,1),(147,1),(177,1),(184,1),(199,1)}
       118:{3,6}:{(88,1),(89,1)}
       119:{3,4,7}:{(89,1),(90,1),(95,1),(134,1),(144,1),(179,1),(180,1)}
       120:{2,3,6,7}:{(91,1),(92,1),(94,1),(140,1),(145,1),(182,1),(196,1)}
       121:{2,4,7}:{(92,1),(93,1),(141,1),(180,1)}
       122:{2,4,5}:{(93,1),(142,1),(147,1),(183,1)}
       123:{2,4,6}:{(94,1),(95,1),(144,1),(147,1)}
       124:{3,4,7}:{(96,1),(101,1),(148,1),(149,1),(186,1)}
       125:{1,5,7}:{(96,1),(97,1),(102,1),(148,1)}
       126:{2,3,5,7}:{(96,1),(98,1),(103,1),(113,1),(149,1),(150,1),(162,1),(186,1)}
       127:{1,2,6,7}:{(97,1),(98,1),(99,1),(104,1),(150,1),(151,1),(209,1)}
       128:{1,3,7}:{(99,1),(100,1),(115,1),(152,1)}
       129:{1,4,6}:{(100,1),(106,1),(116,1),(152,1),(153,1),(189,1)}
       130:{1,4,6}:{(101,1),(102,1),(107,1),(148,1),(154,1)}
       131:{2,4,6}:{(101,1),(103,1),(108,1),(149,1),(165,1)}
       132:{1,2,5,6}:{(102,1),(103,1),(104,1),(109,1),(150,1),(155,1),(156,1),(206,1),(209,1)}
       133:{1,3,6}:{(104,1),(105,1),(118,1),(157,1),(189,1)}
       134:{1,4,7}:{(105,1),(106,1),(119,1),(157,1),(160,1)}
       135:{1,3,5}:{(107,1),(111,1),(154,1),(158,1),(159,1)}
       136:{1,2,4,5}:{(107,1),(108,1),(109,1),(155,1),(158,1),(159,1),(160,1),(192,1),(193,1),(206,1)}
       137:{1,3,5}:{(109,1),(110,1),(159,1),(160,1)}
       138:{1,2,4}:{(111,1),(158,1),(161,1),(193,1)}
       139:{1,2,5,7}:{(112,1),(113,1),(114,1),(117,1),(162,1),(167,1),(188,1)}
       140:{3,6,7}:{(114,1),(115,1),(118,1),(162,1),(186,1)}
       141:{3,4,7}:{(115,1),(116,1),(121,1),(152,1),(164,1)}
       142:{3,5}:{(116,1),(122,1),(153,1)}
       143:{3,5,6}:{(117,1),(118,1),(162,1),(165,1),(166,1)}
       144:{3,4,6}:{(118,1),(119,1),(123,1),(157,1),(165,1),(166,1)}
       145:{2,4,6,7}:{(120,1),(121,1),(123,1),(163,1),(167,1),(168,1),(203,1),(209,1)}
       146:{2,4,5,7}:{(121,1),(122,1),(164,1),(167,1),(168,1),(194,1)}
       147:{2,5}:{(123,1),(166,1)}
       148:{1,4,7}:{(124,1),(125,1),(130,1),(169,1)}
       149:{2,4,7}:{(124,1),(126,1),(131,1),(180,1)}
       150:{1,2,5,7}:{(125,1),(126,1),(127,1),(132,1),(170,1),(171,1),(207,1)}
       151:{1,3,6,7}:{(127,1),(128,1),(133,1),(140,1),(171,1),(172,1),(208,1)}
       152:{1,4,7}:{(128,1),(129,1),(141,1),(173,1)}
       153:{1,5}:{(129,1),(142,1)}
       154:{1,3,6}:{(130,1),(135,1),(169,1),(174,1),(175,1)}
       155:{1,2,4,6}:{(130,1),(131,1),(132,1),(136,1),(170,1),(174,1),(175,1),(176,1),(200,1)}
       156:{1,3,5,6}:{(132,1),(133,1),(137,1),(143,1),(171,1),(175,1),(176,1),(177,1),(199,1),(201,1),(208,1)}
       157:{1,4,6}:{(133,1),(134,1),(144,1),(177,1)}
       158:{1,2,5}:{(135,1),(138,1),(174,1),(178,1)}
       159:{3,5}:{(136,1),(175,1),(179,1)}
       160:{1,4}:{(137,1),(179,1)}
       161:{2,3}:{(138,1)}
       162:{3,5,7}:{(139,1),(140,1),(143,1),(180,1)}
       163:{3,4,6,7}:{(140,1),(141,1),(144,1),(145,1),(172,1),(180,1),(181,1),(182,1),(197,1),(202,1),(208,1)}
       164:{3,5,7}:{(141,1),(142,1),(146,1),(173,1),(182,1)}
       165:{4,6}:{(143,1),(180,1),(183,1)}
       166:{3,5}:{(144,1),(147,1),(177,1),(183,1)}
       167:{2,5,7}:{(145,1),(147,1),(181,1),(184,1)}
       168:{2,4,6}:{(146,1),(182,1),(184,1),(202,1)}
       169:{1,3,7}:{(148,1),(154,1),(185,1),(186,1)}
       170:{1,2,4,7}:{(148,1),(149,1),(150,1),(155,1),(185,1),(186,1),(187,1),(203,1)}
       171:{1,3,5,7}:{(150,1),(151,1),(156,1),(162,1),(186,1),(187,1),(188,1),(204,1)}
       172:{1,4,6,7}:{(151,1),(152,1),(157,1),(163,1),(187,1),(188,1),(189,1),(205,1)}
       173:{1,5,7}:{(152,1),(153,1),(164,1),(189,1)}
       174:{1,2,6}:{(154,1),(158,1),(185,1),(190,1)}
       175:{3,6}:{(155,1),(159,1),(186,1)}
       176:{1,4,6}:{(156,1),(160,1),(165,1),(187,1),(191,1),(192,1)}
       177:{1,5}:{(157,1),(166,1)}
       178:{2,3,5}:{(158,1),(159,1),(161,1),(190,1),(193,1),(206,1)}
       179:{3,4}:{(159,1),(160,1),(193,1)}
       180:{4,7}:{(162,1),(165,1)}
       181:{3,5,7}:{(163,1),(166,1),(167,1),(188,1),(194,1),(195,1)}
       182:{3,6}:{(164,1),(168,1),(189,1)}
       183:{4,5}:{(165,1),(166,1)}
       184:{2,5,6}:{(167,1),(168,1),(195,1),(209,1)}
       185:{1,2,7}:{(169,1),(174,1),(196,1)}
       186:{3,7}:{(170,1),(175,1)}
       187:{1,4,7}:{(171,1),(176,1),(180,1),(197,1)}
       188:{1,5,7}:{(172,1),(177,1),(181,1),(199,1)}
       189:{1,6}:{(173,1),(182,1)}
       190:{2,3,6}:{(174,1),(175,1),(178,1),(196,1),(200,1)}
       191:{3,4,6}:{(175,1),(176,1),(179,1),(197,1),(200,1),(201,1),(208,1)}
       192:{1,4,5}:{(176,1),(177,1),(183,1),(201,1)}
       193:{2,4}:{(178,1),(179,1)}
       194:{4,5,7}:{(180,1),(181,1),(183,1),(202,1)}
       195:{3,5,6}:{(181,1),(182,1),(184,1),(199,1),(202,1),(208,1)}
       196:{2,3,7}:{(185,1),(186,1),(190,1),(203,1)}
       197:{3,4,7}:{(186,1),(187,1),(191,1),(203,1),(204,1)}
       198:{1,4,5,7}:{(187,1),(188,1),(192,1),(194,1),(204,1),(205,1)}
       199:{1,5,6}:{(188,1),(189,1),(195,1),(205,1)}
       200:{2,4,6}:{(190,1),(191,1),(193,1),(203,1),(206,1),(209,1)}
       201:{3,5}:{(191,1),(192,1),(206,1)}
       202:{4,6}:{(194,1),(195,1)}
       203:{2,4,7}:{(196,1),(197,1),(200,1),(207,1)}
       204:{3,5,7}:{(197,1),(198,1),(201,1),(207,1),(208,1)}
       205:{1,4,6}:{(198,1),(199,1),(202,1),(208,1)}
       206:{2,5}:{(200,1),(201,1)}
       207:{2,5,7}:{(203,1),(204,1),(206,1),(209,1)}
       208:{3,6}:{(204,1),(205,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

1169 :   0:{1,2,3,6}:{(3,1),(5,1),(6,1),(78,1),(86,1)}
         1:{1,3,4,6}:{(5,1),(7,1),(8,1),(31,1),(37,1),(47,1),(86,1),(88,1)}
         2:{1,4,5,6}:{(9,1),(10,1),(37,1),(95,1),(97,1)}
         3:{1,2,3,5}:{(0,1),(11,1),(13,1),(20,1),(51,1),(57,1)}
         4:{3,4,5}:{(15,1),(16,1),(17,1),(57,1)}
         5:{1,2,4,6}:{(0,1),(1,1),(13,1),(19,1),(20,1),(21,1),(72,1)}
         6:{1,2,3,7}:{(0,1),(21,1),(109,1),(118,1),(210,1)}
         7:{1,3,5}:{(1,1),(16,1),(20,1),(57,1),(120,1)}
         8:{1,3,4,7}:{(1,1),(21,1),(24,1),(58,1),(64,1),(118,1),(166,1)}
         9:{3,5,6}:{(2,1),(17,1),(22,1),(25,1)}
        10:{1,4,5,7}:{(2,1),(25,1),(26,1),(64,1),(125,1),(126,1)}
        11:{1,2,3}:{(27,1)}
        12:{2,3,4}:{(27,1),(29,1),(31,1)}
        13:{1,2,4}:{(3,1),(31,1)}
        14:{1,2,3,5,7}:{(3,1),(6,1),(28,1),(33,1),(34,1),(44,1),(79,1),(81,1),(87,1),(91,1)}
        15:{2,4,5}:{(4,1),(29,1),(35,1)}
        16:{1,4,5}:{(4,1),(7,1),(37,1),(149,1)}
        17:{3,4,6}:{(4,1),(9,1),(35,1),(37,1),(39,1),(86,1)}
        18:{3,4,5,7}:{(4,1),(36,1),(38,1),(39,1),(40,1),(87,1),(96,1),(143,1),(149,1),(192,1),(197,1)}
        19:{2,3,4,6}:{(5,1),(31,1),(41,1),(42,1),(86,1),(88,1),(98,1),(101,1)}
        20:{1,2,5}:{(5,1),(7,1),(41,1)}
        21:{1,2,4,7}:{(5,1),(6,1),(8,1),(42,1),(44,1),(191,1)}
        22:{2,5,6}:{(9,1),(35,1),(45,1)}
        23:{1,3,5,6}:{(7,1),(9,1),(37,1),(43,1),(46,1),(47,1),(86,1),(95,1),(148,1)}
        24:{1,3,5,7}:{(7,1),(8,1),(38,1),(44,1),(47,1),(87,1),(189,1),(219,1)}
        25:{3,5,7}:{(9,1),(10,1),(39,1),(45,1),(48,1)}
        26:{1,4,6,7}:{(10,1),(48,1),(49,1),(104,1)}
        27:{1,2,4}:{(11,1),(12,1),(50,1),(51,1)}
        28:{1,2,3,7}:{(11,1),(52,1),(53,1),(206,1),(227,1)}
        29:{2,3,5}:{(12,1),(15,1),(51,1),(54,1),(57,1)}
        30:{2,3,4,7}:{(12,1),(52,1),(55,1),(56,1),(58,1),(168,1),(206,1)}
        31:{3,4}:{(13,1),(57,1)}
        32:{1,2,4,5}:{(13,1),(15,1),(16,1),(20,1),(51,1),(57,1),(59,1),(68,1),(105,1)}
        33:{1,2,4,7}:{(13,1),(14,1),(58,1),(61,1),(112,1)}
        34:{1,2,3,6}:{(14,1),(61,1),(72,1),(110,1),(119,1)}
        35:{2,4,6}:{(15,1),(17,1),(22,1),(54,1),(62,1)}
        36:{2,4,5,7}:{(15,1),(18,1),(55,1),(62,1),(63,1),(115,1),(123,1),(168,1)}
        37:{1,4,6}:{(16,1),(17,1),(23,1),(64,1),(175,1)}
        38:{1,4,5,7}:{(16,1),(18,1),(24,1),(64,1),(65,1),(125,1),(170,1),(211,1)}
        39:{3,4,7}:{(17,1),(25,1),(62,1),(64,1),(118,1)}
        40:{3,4,6}:{(18,1),(63,1),(65,1),(67,1),(119,1),(175,1)}
        41:{2,3,5}:{(19,1),(20,1),(57,1),(68,1),(120,1)}
        42:{2,3,4,7}:{(19,1),(21,1),(58,1),(70,1),(118,1),(128,1),(167,1)}
        43:{1,2,5,6}:{(20,1),(22,1),(23,1),(59,1),(69,1),(71,1),(72,1),(157,1)}
        44:{1,2,5,7}:{(20,1),(21,1),(24,1),(70,1),(72,1),(209,1),(227,1)}
        45:{2,5,7}:{(22,1),(25,1),(62,1),(73,1)}
        46:{1,3,5,7}:{(23,1),(25,1),(64,1),(71,1),(74,1),(118,1),(125,1),(174,1)}
        47:{1,3,6}:{(24,1),(65,1),(72,1),(119,1)}
        48:{3,6,7}:{(25,1),(26,1),(73,1)}
        49:{1,5,6,7}:{(26,1),(75,1),(125,1),(180,1)}
        50:{1,3,4}:{(27,1),(31,1),(76,1)}
        51:{1,2,5}:{(27,1),(29,1),(76,1),(78,1)}
        52:{1,2,4,7}:{(27,1),(28,1),(30,1),(77,1),(79,1),(80,1)}
        53:{1,2,3,6}:{(28,1),(80,1),(81,1),(188,1),(221,1)}
        54:{2,3,6}:{(29,1),(35,1),(78,1),(82,1),(86,1)}
        55:{2,3,5,7}:{(29,1),(30,1),(36,1),(79,1),(82,1),(83,1),(84,1),(87,1)}
        56:{2,3,4,6}:{(30,1),(80,1),(83,1),(84,1),(88,1),(140,1),(142,1),(188,1)}
        57:{3,5}:{(31,1),(32,1),(86,1)}
        58:{3,4,7}:{(31,1),(33,1),(87,1),(88,1),(140,1),(197,1)}
        59:{1,2,4,6}:{(32,1),(35,1),(37,1),(43,1),(78,1),(86,1),(89,1),(98,1),(132,1)}
        60:{1,2,4,5,7}:{(32,1),(33,1),(36,1),(38,1),(44,1),(79,1),(87,1),(89,1),(90,1),(91,1),(99,1),(133,1),(139,1),(149,1),(150,1),(187,1),(197,1)}
        61:{1,2,4,6}:{(33,1),(34,1),(88,1),(91,1)}
        62:{2,4,7}:{(35,1),(39,1),(45,1),(82,1)}
        63:{2,4,6}:{(36,1),(40,1),(83,1),(93,1)}
        64:{1,4,7}:{(37,1),(39,1),(46,1),(197,1)}
        65:{1,4,6}:{(38,1),(40,1),(47,1),(95,1)}
        66:{3,4,6,7}:{(39,1),(40,1),(48,1),(92,1),(94,1),(96,1),(104,1),(147,1),(156,1),(192,1),(197,1)}
        67:{3,5,6}:{(40,1),(93,1),(95,1),(96,1),(97,1)}
        68:{2,4,5}:{(41,1),(85,1),(98,1),(149,1)}
        69:{2,3,5,6}:{(41,1),(43,1),(86,1),(98,1),(100,1),(101,1),(144,1),(148,1),(155,1)}
        70:{2,3,5,7}:{(41,1),(42,1),(44,1),(87,1),(99,1),(101,1),(190,1),(220,1)}
        71:{1,2,5,7}:{(43,1),(45,1),(46,1),(89,1),(100,1),(102,1),(181,1)}
        72:{1,2,6}:{(44,1),(47,1),(101,1)}
        73:{2,6,7}:{(45,1),(48,1)}
        74:{1,3,6,7}:{(46,1),(47,1),(48,1),(94,1),(102,1),(147,1),(219,1)}
        75:{3,5,6,7}:{(48,1),(49,1),(96,1),(103,1),(104,1),(156,1)}
        76:{1,3,5}:{(50,1),(51,1),(57,1),(105,1),(106,1)}
        77:{1,3,4,7}:{(50,1),(52,1),(58,1),(107,1),(108,1),(203,1),(206,1)}
        78:{1,2,6}:{(51,1),(54,1),(106,1),(109,1)}
        79:{1,2,5,7}:{(51,1),(52,1),(55,1),(107,1),(109,1),(110,1),(111,1)}
        80:{1,2,4,6}:{(52,1),(53,1),(56,1),(108,1),(110,1),(111,1),(112,1)}
        81:{1,2,3,5}:{(53,1),(111,1),(112,1),(165,1),(209,1),(210,1)}
        82:{2,3,7}:{(54,1),(62,1),(109,1),(118,1)}
        83:{2,3,6}:{(55,1),(63,1),(110,1),(119,1)}
        84:{2,3,5}:{(56,1),(111,1),(115,1),(120,1),(165,1)}
        85:{3,4,5}:{(57,1),(68,1),(105,1),(116,1)}
        86:{3,6}:{(57,1),(59,1),(118,1)}
        87:{3,5,7}:{(57,1),(58,1),(60,1),(118,1),(119,1),(120,1),(165,1),(206,1)}
        88:{3,4,6}:{(58,1),(61,1),(119,1),(120,1),(175,1)}
        89:{1,2,4,7}:{(59,1),(62,1),(64,1),(71,1),(109,1),(118,1),(128,1),(158,1)}
        90:{1,2,4,6}:{(60,1),(63,1),(65,1),(72,1),(110,1),(119,1),(122,1),(129,1),(159,1),(175,1)}
        91:{1,2,5}:{(61,1),(120,1)}
        92:{2,4,6,7}:{(62,1),(63,1),(66,1),(73,1),(113,1),(123,1),(168,1)}
        93:{2,5,6}:{(63,1),(67,1),(123,1)}
        94:{1,4,6,7}:{(64,1),(65,1),(66,1),(74,1),(125,1),(180,1),(211,1)}
        95:{1,5,6}:{(65,1),(67,1),(125,1)}
        96:{3,5,7}:{(66,1),(67,1),(123,1),(125,1),(126,1)}
        97:{4,5,6}:{(67,1),(126,1),(175,1)}
        98:{2,4,6}:{(68,1),(69,1),(116,1),(128,1),(175,1)}
        99:{2,4,5,7}:{(68,1),(70,1),(117,1),(128,1),(129,1),(179,1),(205,1),(226,1)}
       100:{2,3,5,7}:{(69,1),(71,1),(118,1),(128,1),(130,1),(171,1),(174,1),(179,1)}
       101:{2,3,6}:{(70,1),(72,1),(119,1),(129,1)}
       102:{1,2,6,7}:{(71,1),(72,1),(73,1),(74,1),(130,1),(200,1),(227,1)}
       103:{2,5,6,7}:{(73,1),(75,1),(123,1),(131,1)}
       104:{4,6,7}:{(75,1),(126,1)}
       105:{1,4,5}:{(76,1),(85,1),(132,1)}
       106:{1,3,6}:{(76,1),(78,1),(86,1),(132,1),(134,1)}
       107:{1,3,5,7}:{(76,1),(77,1),(79,1),(87,1),(133,1),(134,1),(135,1),(136,1)}
       108:{1,3,4,6}:{(77,1),(80,1),(88,1),(135,1),(136,1),(140,1),(185,1),(188,1)}
       109:{1,2,7}:{(78,1),(82,1),(134,1)}
       110:{1,2,6}:{(79,1),(83,1),(135,1)}
       111:{1,2,5}:{(80,1),(84,1),(136,1)}
       112:{1,2,4}:{(81,1),(140,1)}
       113:{2,3,6,7}:{(82,1),(83,1),(92,1),(137,1),(141,1),(147,1),(156,1)}
       114:{2,3,5,6}:{(83,1),(84,1),(93,1),(138,1),(141,1),(142,1),(148,1),(152,1),(188,1)}
       115:{2,4,5}:{(84,1),(142,1),(143,1),(149,1)}
       116:{3,4,6}:{(85,1),(86,1),(98,1),(132,1),(144,1),(145,1)}
       117:{3,4,5,7}:{(85,1),(87,1),(99,1),(133,1),(145,1),(146,1),(149,1),(186,1),(195,1),(197,1),(217,1)}
       118:{3,7}:{(86,1),(89,1)}
       119:{3,6}:{(87,1),(90,1)}
       120:{3,5}:{(88,1),(91,1),(149,1)}
       121:{1,2,4,6,7}:{(89,1),(90,1),(92,1),(94,1),(102,1),(137,1),(147,1),(150,1),(154,1),(182,1),(187,1),(197,1)}
       122:{1,2,5,6}:{(90,1),(91,1),(93,1),(95,1),(148,1),(150,1),(155,1),(183,1)}
       123:{2,5,7}:{(92,1),(93,1),(96,1)}
       124:{2,4,5,6}:{(93,1),(97,1),(142,1),(151,1),(152,1)}
       125:{1,5,7}:{(94,1),(95,1),(96,1)}
       126:{4,5,7}:{(96,1),(97,1),(104,1),(197,1)}
       127:{2,4,5,6}:{(98,1),(144,1),(153,1),(155,1),(196,1)}
       128:{2,4,7}:{(98,1),(100,1),(145,1),(197,1)}
       129:{2,4,6}:{(99,1),(101,1),(146,1),(155,1)}
       130:{2,3,6,7}:{(100,1),(101,1),(102,1),(147,1),(154,1),(194,1),(220,1)}
       131:{2,4,6,7}:{(103,1),(104,1),(151,1),(156,1)}
       132:{1,4,6}:{(105,1),(106,1),(116,1),(157,1),(158,1)}
       133:{1,4,5,7}:{(105,1),(107,1),(117,1),(158,1),(159,1),(162,1),(201,1),(203,1)}
       134:{1,3,7}:{(106,1),(109,1),(118,1),(158,1)}
       135:{1,3,6}:{(107,1),(110,1),(119,1),(159,1)}
       136:{1,3,5}:{(108,1),(111,1),(120,1),(162,1),(165,1)}
       137:{1,2,6,7}:{(109,1),(110,1),(113,1),(160,1),(163,1),(180,1),(230,1)}
       138:{1,2,5,6}:{(110,1),(111,1),(114,1),(161,1),(163,1),(164,1),(177,1),(225,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(115,1),(162,1),(164,1),(165,1),(170,1),(205,1),(209,1)}
       140:{3,4}:{(112,1),(165,1)}
       141:{2,3,5,7}:{(113,1),(114,1),(123,1),(163,1),(168,1),(174,1),(176,1),(206,1)}
       142:{2,4,6}:{(114,1),(115,1),(168,1),(169,1),(175,1)}
       143:{3,4,5}:{(115,1),(165,1),(169,1),(170,1)}
       144:{3,5,6}:{(116,1),(127,1),(157,1),(171,1)}
       145:{3,4,7}:{(116,1),(118,1),(128,1),(158,1),(171,1)}
       146:{3,4,6}:{(117,1),(119,1),(129,1),(159,1),(173,1),(175,1)}
       147:{3,6,7}:{(118,1),(119,1),(121,1),(174,1),(206,1)}
       148:{3,5,6}:{(119,1),(120,1),(122,1),(174,1),(175,1)}
       149:{4,5}:{(120,1),(175,1)}
       150:{1,2,5,7}:{(121,1),(122,1),(123,1),(125,1),(174,1),(179,1),(201,1)}
       151:{2,4,5,7}:{(123,1),(124,1),(126,1),(131,1),(168,1),(176,1)}
       152:{3,5,6}:{(124,1),(169,1),(176,1),(177,1)}
       153:{2,4,5,7}:{(127,1),(128,1),(171,1),(178,1),(179,1),(213,1)}
       154:{2,4,6,7}:{(128,1),(129,1),(130,1),(172,1),(179,1),(226,1),(230,1)}
       155:{2,5,6}:{(129,1),(173,1),(179,1)}
       156:{3,6,7}:{(131,1),(176,1),(180,1)}
       157:{1,5,6}:{(132,1),(144,1),(181,1)}
       158:{1,4,7}:{(132,1),(134,1),(145,1),(181,1)}
       159:{1,4,6}:{(133,1),(135,1),(146,1),(183,1)}
       160:{1,3,6,7}:{(134,1),(135,1),(137,1),(147,1),(182,1),(184,1),(228,1)}
       161:{1,3,5,6}:{(135,1),(136,1),(138,1),(148,1),(183,1),(184,1),(185,1),(188,1),(216,1)}
       162:{1,4,5}:{(136,1),(149,1),(185,1),(186,1)}
       163:{1,2,5,7}:{(137,1),(138,1),(141,1),(184,1),(187,1),(198,1),(229,1)}
       164:{1,2,4,6}:{(138,1),(139,1),(142,1),(185,1),(187,1),(188,1),(193,1),(218,1),(221,1)}
       165:{3,5}:{(139,1),(140,1),(188,1)}
       166:{1,3,4}:{(140,1),(189,1),(191,1)}
       167:{2,3,4}:{(140,1),(190,1),(191,1)}
       168:{2,4,7}:{(141,1),(142,1),(192,1),(197,1)}
       169:{3,4,6}:{(142,1),(143,1),(152,1),(188,1),(192,1),(193,1)}
       170:{1,4,5}:{(143,1),(189,1),(193,1)}
       171:{3,5,7}:{(144,1),(145,1),(153,1),(181,1),(194,1)}
       172:{3,4,6,7}:{(145,1),(146,1),(147,1),(154,1),(182,1),(194,1),(195,1),(197,1),(217,1),(222,1),(228,1)}
       173:{3,5,6}:{(146,1),(155,1),(183,1),(195,1),(196,1)}
       174:{3,5,7}:{(147,1),(148,1),(150,1),(197,1)}
       175:{4,6}:{(148,1),(149,1),(197,1)}
       176:{3,5,7}:{(151,1),(152,1),(156,1),(192,1),(198,1)}
       177:{1,5,6}:{(152,1),(193,1),(198,1)}
       178:{2,4,6,7}:{(153,1),(194,1),(199,1),(222,1)}
       179:{2,5,7}:{(154,1),(155,1),(195,1)}
       180:{1,6,7}:{(156,1),(198,1)}
       181:{1,5,7}:{(157,1),(158,1),(171,1),(200,1)}
       182:{1,4,6,7}:{(158,1),(159,1),(160,1),(172,1),(200,1),(201,1),(203,1)}
       183:{1,5,6}:{(159,1),(173,1),(201,1)}
       184:{1,3,5,7}:{(160,1),(161,1),(163,1),(174,1),(201,1),(203,1),(206,1),(224,1)}
       185:{1,4,6}:{(161,1),(162,1),(175,1),(203,1),(204,1)}
       186:{3,4,5}:{(162,1),(165,1),(204,1),(205,1)}
       187:{1,2,4,7}:{(163,1),(164,1),(168,1),(203,1),(206,1),(211,1),(226,1),(227,1)}
       188:{3,6}:{(164,1),(165,1),(206,1)}
       189:{1,3,5}:{(165,1),(166,1),(170,1),(207,1),(209,1)}
       190:{2,3,5}:{(165,1),(167,1),(205,1),(208,1),(209,1)}
       191:{1,2,4}:{(166,1),(167,1),(209,1),(210,1)}
       192:{3,4,7}:{(168,1),(169,1),(176,1),(206,1),(211,1)}
       193:{1,4,6}:{(169,1),(170,1),(177,1),(207,1),(211,1)}
       194:{3,6,7}:{(171,1),(178,1),(200,1)}
       195:{3,5,7}:{(172,1),(173,1),(179,1),(201,1),(213,1)}
       196:{4,5,6}:{(173,1),(175,1),(213,1)}
       197:{4,7}:{(174,1),(175,1)}
       198:{1,5,7}:{(176,1),(177,1),(180,1),(211,1)}
       199:{2,5,6,7}:{(178,1),(179,1),(212,1),(230,1)}
       200:{1,6,7}:{(181,1),(194,1)}
       201:{1,5,7}:{(182,1),(183,1),(195,1)}
       202:{1,4,5,6}:{(183,1),(185,1),(196,1),(215,1),(216,1)}
       203:{1,4,7}:{(184,1),(185,1),(197,1),(217,1)}
       204:{3,4,6}:{(185,1),(186,1),(188,1),(216,1),(217,1),(218,1)}
       205:{2,4,5}:{(186,1),(190,1),(218,1)}
       206:{3,7}:{(187,1),(188,1)}
       207:{1,3,6}:{(188,1),(189,1),(193,1),(219,1),(221,1)}
       208:{2,3,6}:{(188,1),(190,1),(218,1),(220,1),(221,1)}
       209:{1,2,5}:{(189,1),(190,1),(191,1),(221,1)}
       210:{1,2,3}:{(191,1)}
       211:{1,4,7}:{(192,1),(193,1),(198,1),(219,1)}
       212:{3,5,6,7}:{(194,1),(195,1),(199,1),(214,1),(222,1),(228,1)}
       213:{4,5,7}:{(195,1),(196,1),(197,1),(222,1)}
       214:{1,5,6,7}:{(200,1),(201,1),(212,1),(223,1)}
       215:{1,4,5,7}:{(201,1),(202,1),(203,1),(213,1),(223,1),(224,1)}
       216:{3,5,6}:{(202,1),(204,1),(224,1),(225,1)}
       217:{3,4,7}:{(203,1),(204,1),(206,1),(224,1),(226,1)}
       218:{2,4,6}:{(204,1),(205,1),(208,1),(225,1),(226,1)}
       219:{1,3,7}:{(206,1),(207,1),(211,1),(227,1)}
       220:{2,3,7}:{(206,1),(208,1),(226,1),(227,1)}
       221:{1,2,6}:{(207,1),(208,1),(209,1),(227,1)}
       222:{4,6,7}:{(212,1),(213,1)}
       223:{1,4,6,7}:{(214,1),(215,1),(222,1),(228,1)}
       224:{3,5,7}:{(215,1),(216,1),(217,1),(228,1),(229,1)}
       225:{2,5,6}:{(216,1),(218,1),(229,1)}
       226:{2,4,7}:{(217,1),(218,1),(220,1),(229,1)}
       227:{1,2,7}:{(219,1),(220,1),(221,1)}
       228:{3,6,7}:{(223,1),(224,1),(230,1)}
       229:{2,5,7}:{(224,1),(225,1),(226,1),(230,1)}
       230:{2,6,7}:{(228,1),(229,1)}

1170 :   0:{1,5,6,7}:{(2,1),(4,1),(79,1),(91,1)}
         1:{1,3,4,7}:{(6,1),(7,1),(8,1),(90,1),(96,1),(97,1),(153,1),(189,1)}
         2:{3,5,6,7}:{(0,1),(9,1),(11,1),(17,1),(50,1),(58,1)}
         3:{3,4,5,7}:{(13,1),(14,1),(15,1),(21,1),(54,1),(58,1),(64,1),(65,1),(109,1),(170,1),(172,1)}
         4:{1,4,6,7}:{(0,1),(11,1),(16,1),(17,1)}
         5:{1,4,5,6}:{(12,1),(16,1),(18,1),(61,1),(69,1)}
         6:{1,3,5,7}:{(1,1),(14,1),(19,1),(20,1),(22,1),(64,1),(118,1),(160,1),(200,1)}
         7:{1,3,4,6}:{(1,1),(19,1),(22,1),(23,1),(69,1),(125,1),(131,1),(135,1),(177,1)}
         8:{1,2,4,7}:{(1,1),(20,1),(23,1),(24,1),(73,1),(121,1)}
         9:{2,5,6,7}:{(2,1),(25,1),(38,1),(92,1)}
        10:{2,3,4,7}:{(27,1),(28,1),(29,1),(48,1),(96,1),(137,1),(180,1),(202,1)}
        11:{4,6,7}:{(2,1),(30,1)}
        12:{4,5,6}:{(30,1),(32,1),(150,1)}
        13:{3,4,6}:{(3,1),(32,1),(33,1),(34,1),(95,1),(150,1)}
        14:{1,4,5,7}:{(3,1),(6,1),(33,1),(44,1),(86,1),(91,1),(97,1),(136,1)}
        15:{2,4,5,7}:{(3,1),(27,1),(34,1),(45,1),(87,1),(92,1),(98,1),(137,1)}
        16:{1,4,5,7}:{(4,1),(5,1),(30,1),(36,1),(91,1),(97,1)}
        17:{3,6,7}:{(4,1),(36,1),(38,1)}
        18:{3,5,6}:{(5,1),(36,1),(39,1),(41,1)}
        19:{1,3,6}:{(6,1),(33,1),(42,1),(95,1),(206,1)}
        20:{1,2,5,7}:{(6,1),(8,1),(42,1),(43,1),(46,1),(144,1),(179,1)}
        21:{3,4,5}:{(39,1),(44,1),(45,1),(106,1)}
        22:{1,3,5}:{(7,1),(44,1),(46,1),(106,1),(151,1),(192,1)}
        23:{1,2,4,6}:{(7,1),(8,1),(42,1),(46,1),(47,1),(104,1),(107,1)}
        24:{2,3,7}:{(8,1),(47,1),(147,1),(153,1)}
        25:{2,4,6,7}:{(9,1),(11,1),(49,1),(50,1)}
        26:{2,4,5,6}:{(12,1),(49,1),(51,1),(62,1),(114,1)}
        27:{2,3,5,7}:{(10,1),(15,1),(52,1),(53,1),(55,1),(64,1),(74,1),(126,1),(207,1)}
        28:{2,3,4,6}:{(10,1),(52,1),(55,1),(56,1),(114,1),(125,1),(165,1),(169,1),(197,1)}
        29:{1,2,4,7}:{(10,1),(53,1),(56,1),(57,1),(77,1),(117,1)}
        30:{4,5,7}:{(11,1),(12,1),(58,1),(170,1)}
        31:{3,4,6,7}:{(11,1),(13,1),(17,1),(50,1),(58,1),(59,1),(60,1),(65,1),(109,1),(123,1),(170,1)}
        32:{3,5,6}:{(12,1),(13,1),(58,1),(61,1),(62,1)}
        33:{1,4,6}:{(13,1),(14,1),(19,1),(61,1)}
        34:{2,4,6}:{(13,1),(15,1),(52,1),(62,1)}
        35:{1,2,4,5,7}:{(14,1),(15,1),(20,1),(53,1),(63,1),(64,1),(73,1),(75,1),(117,1),(119,1),(122,1),(127,1),(133,1),(161,1),(167,1),(170,1),(172,1),(175,1),(195,1),(200,1),(207,1)}
        36:{3,5,7}:{(16,1),(17,1),(18,1),(65,1),(67,1)}
        37:{1,3,6,7}:{(17,1),(19,1),(59,1),(66,1),(68,1),(123,1),(160,1)}
        38:{2,6,7}:{(17,1),(67,1)}
        39:{3,4,6}:{(18,1),(21,1),(65,1),(69,1),(70,1),(131,1)}
        40:{1,3,5,6}:{(18,1),(19,1),(22,1),(61,1),(66,1),(69,1),(71,1),(124,1),(131,1)}
        41:{2,5,6}:{(18,1),(67,1),(70,1)}
        42:{1,2,6}:{(19,1),(20,1),(72,1)}
        43:{2,3,5,7}:{(20,1),(24,1),(64,1),(72,1),(73,1),(76,1),(133,1),(168,1),(193,1),(207,1)}
        44:{1,4,5}:{(21,1),(22,1),(69,1),(172,1)}
        45:{2,4,5}:{(21,1),(70,1),(74,1)}
        46:{1,2,5}:{(22,1),(23,1),(76,1),(133,1)}
        47:{2,3,6}:{(23,1),(24,1),(76,1),(131,1)}
        48:{2,3,4}:{(74,1),(77,1),(135,1)}
        49:{2,4,5,7}:{(25,1),(26,1),(30,1),(78,1),(92,1),(137,1)}
        50:{3,6,7}:{(25,1),(78,1),(79,1)}
        51:{3,5,6}:{(26,1),(78,1),(81,1),(82,1)}
        52:{2,3,6}:{(27,1),(34,1),(84,1),(95,1),(209,1)}
        53:{1,2,5,7}:{(27,1),(29,1),(84,1),(85,1),(88,1),(105,1),(152,1)}
        54:{3,4,5}:{(81,1),(86,1),(87,1),(145,1)}
        55:{2,3,5}:{(28,1),(87,1),(88,1),(145,1),(151,1),(205,1)}
        56:{1,2,4,6}:{(28,1),(29,1),(84,1),(88,1),(89,1),(143,1),(146,1)}
        57:{1,3,7}:{(29,1),(89,1),(108,1),(180,1)}
        58:{3,5,7}:{(30,1),(31,1),(32,1),(91,1),(92,1)}
        59:{1,4,6,7}:{(31,1),(33,1),(37,1),(79,1),(91,1),(97,1),(136,1)}
        60:{2,4,6,7}:{(31,1),(34,1),(38,1),(80,1),(92,1),(98,1),(137,1)}
        61:{1,5,6}:{(32,1),(33,1),(91,1)}
        62:{2,5,6}:{(32,1),(34,1),(92,1)}
        63:{1,2,4,6}:{(33,1),(34,1),(35,1),(42,1),(84,1),(94,1),(95,1),(104,1),(143,1),(150,1),(191,1),(204,1),(206,1),(209,1)}
        64:{3,5,7}:{(35,1),(95,1),(96,1),(106,1),(145,1),(151,1),(153,1),(180,1)}
        65:{3,4,7}:{(36,1),(39,1),(97,1),(98,1),(153,1)}
        66:{1,3,5,7}:{(36,1),(37,1),(40,1),(91,1),(97,1),(99,1),(148,1),(153,1)}
        67:{2,5,7}:{(36,1),(38,1),(41,1),(98,1)}
        68:{1,2,6,7}:{(37,1),(38,1),(42,1),(99,1),(100,1),(179,1),(206,1)}
        69:{1,4,6}:{(39,1),(40,1),(44,1),(97,1),(150,1)}
        70:{2,4,6}:{(39,1),(41,1),(45,1),(98,1),(101,1)}
        71:{1,2,5,6}:{(40,1),(41,1),(42,1),(46,1),(99,1),(102,1),(103,1),(192,1),(206,1)}
        72:{2,3,6}:{(42,1),(43,1),(95,1),(104,1),(209,1)}
        73:{2,4,7}:{(43,1),(96,1),(104,1),(107,1),(186,1)}
        74:{2,3,5}:{(45,1),(48,1),(101,1),(105,1),(106,1)}
        75:{1,2,4,5}:{(44,1),(45,1),(46,1),(102,1),(105,1),(106,1),(107,1),(158,1),(159,1),(192,1)}
        76:{2,3,5}:{(46,1),(47,1),(106,1),(107,1)}
        77:{1,2,4}:{(48,1),(105,1),(108,1),(159,1)}
        78:{3,5,7}:{(49,1),(50,1),(51,1),(109,1),(110,1)}
        79:{1,6,7}:{(50,1),(110,1)}
        80:{2,3,6,7}:{(50,1),(52,1),(60,1),(111,1),(112,1),(123,1),(126,1)}
        81:{3,4,6}:{(51,1),(54,1),(109,1),(113,1),(114,1),(165,1)}
        82:{1,5,6}:{(51,1),(110,1),(113,1)}
        83:{2,3,5,6}:{(51,1),(52,1),(55,1),(62,1),(111,1),(114,1),(115,1),(124,1),(165,1)}
        84:{1,2,6}:{(52,1),(53,1),(116,1)}
        85:{1,3,5,7}:{(53,1),(57,1),(64,1),(116,1),(117,1),(120,1),(134,1),(167,1),(173,1),(200,1)}
        86:{1,4,5}:{(54,1),(113,1),(118,1)}
        87:{2,4,5}:{(54,1),(55,1),(114,1),(172,1)}
        88:{1,2,5}:{(55,1),(56,1),(120,1),(167,1)}
        89:{1,3,6}:{(56,1),(57,1),(120,1),(165,1)}
        90:{1,3,4}:{(118,1),(121,1),(169,1)}
        91:{1,5,7}:{(58,1),(59,1),(61,1)}
        92:{2,5,7}:{(58,1),(60,1),(62,1)}
        93:{1,2,4,6,7}:{(59,1),(60,1),(63,1),(68,1),(112,1),(122,1),(123,1),(127,1),(129,1),(161,1),(163,1),(170,1)}
        94:{1,2,5,6}:{(61,1),(62,1),(63,1),(122,1),(124,1),(133,1),(167,1),(176,1),(196,1)}
        95:{3,6}:{(63,1),(64,1)}
        96:{3,4,7}:{(64,1),(73,1),(117,1),(125,1),(135,1),(169,1),(170,1)}
        97:{1,4,7}:{(65,1),(66,1),(69,1),(170,1)}
        98:{2,4,7}:{(65,1),(67,1),(70,1),(126,1)}
        99:{1,2,5,7}:{(66,1),(67,1),(68,1),(71,1),(127,1),(128,1),(200,1)}
       100:{2,3,6,7}:{(68,1),(72,1),(123,1),(128,1),(129,1),(193,1),(201,1)}
       101:{2,3,6}:{(70,1),(74,1),(126,1),(130,1),(131,1)}
       102:{1,2,4,6}:{(69,1),(70,1),(71,1),(75,1),(127,1),(130,1),(131,1),(132,1),(177,1)}
       103:{2,3,5,6}:{(71,1),(72,1),(76,1),(124,1),(128,1),(131,1),(132,1),(133,1),(176,1),(178,1),(201,1)}
       104:{2,4,6}:{(72,1),(73,1),(125,1),(133,1)}
       105:{1,2,5}:{(74,1),(77,1),(130,1),(134,1)}
       106:{3,5}:{(75,1),(131,1),(135,1)}
       107:{2,4}:{(76,1),(135,1)}
       108:{1,3}:{(77,1)}
       109:{3,4,7}:{(78,1),(81,1),(136,1),(137,1),(180,1)}
       110:{1,5,7}:{(78,1),(79,1),(82,1),(136,1)}
       111:{2,3,5,7}:{(78,1),(80,1),(83,1),(92,1),(137,1),(138,1),(148,1),(180,1)}
       112:{1,2,6,7}:{(79,1),(80,1),(84,1),(138,1),(139,1),(152,1),(209,1)}
       113:{1,4,6}:{(81,1),(82,1),(86,1),(136,1),(140,1)}
       114:{2,4,6}:{(81,1),(83,1),(87,1),(137,1),(150,1)}
       115:{1,2,5,6}:{(82,1),(83,1),(84,1),(88,1),(138,1),(141,1),(142,1),(205,1),(209,1)}
       116:{1,3,6}:{(84,1),(85,1),(95,1),(143,1),(206,1)}
       117:{1,4,7}:{(85,1),(96,1),(143,1),(146,1),(159,1)}
       118:{1,3,5}:{(86,1),(90,1),(140,1),(144,1),(145,1)}
       119:{1,2,4,5}:{(86,1),(87,1),(88,1),(141,1),(144,1),(145,1),(146,1),(185,1),(186,1),(205,1)}
       120:{1,3,5}:{(88,1),(89,1),(145,1),(146,1)}
       121:{1,2,4}:{(90,1),(144,1),(147,1),(186,1)}
       122:{1,2,5,7}:{(91,1),(92,1),(93,1),(94,1),(148,1),(155,1),(182,1)}
       123:{3,6,7}:{(93,1),(95,1),(148,1),(153,1),(180,1)}
       124:{3,5,6}:{(94,1),(95,1),(148,1),(150,1),(151,1)}
       125:{3,4,6}:{(95,1),(96,1),(104,1),(143,1),(150,1),(151,1)}
       126:{2,3,7}:{(98,1),(101,1),(152,1),(153,1)}
       127:{1,2,4,7}:{(97,1),(98,1),(99,1),(102,1),(152,1),(153,1),(154,1),(189,1)}
       128:{2,3,5,7}:{(99,1),(100,1),(103,1),(148,1),(153,1),(154,1),(155,1),(190,1)}
       129:{2,4,6,7}:{(100,1),(104,1),(149,1),(154,1),(155,1),(191,1),(202,1),(209,1)}
       130:{1,2,6}:{(101,1),(105,1),(152,1),(156,1)}
       131:{3,6}:{(102,1),(106,1),(153,1)}
       132:{2,4,6}:{(103,1),(107,1),(150,1),(154,1),(157,1),(158,1)}
       133:{2,5}:{(104,1),(151,1)}
       134:{1,3,5}:{(105,1),(106,1),(108,1),(156,1),(159,1),(192,1)}
       135:{3,4}:{(106,1),(107,1),(159,1)}
       136:{1,4,7}:{(109,1),(110,1),(113,1),(160,1)}
       137:{2,4,7}:{(109,1),(111,1),(114,1),(170,1)}
       138:{1,2,5,7}:{(110,1),(111,1),(112,1),(115,1),(161,1),(162,1),(207,1)}
       139:{1,3,6,7}:{(112,1),(116,1),(123,1),(162,1),(163,1),(173,1),(208,1)}
       140:{1,3,6}:{(113,1),(118,1),(160,1),(164,1),(165,1)}
       141:{1,2,4,6}:{(113,1),(114,1),(115,1),(119,1),(161,1),(164,1),(165,1),(166,1),(197,1)}
       142:{1,3,5,6}:{(115,1),(116,1),(120,1),(124,1),(162,1),(165,1),(166,1),(167,1),(196,1),(198,1),(208,1)}
       143:{1,4,6}:{(116,1),(117,1),(125,1),(167,1)}
       144:{1,2,5}:{(118,1),(121,1),(164,1),(168,1)}
       145:{3,5}:{(119,1),(165,1),(169,1)}
       146:{1,4}:{(120,1),(169,1)}
       147:{2,3}:{(121,1)}
       148:{3,5,7}:{(122,1),(123,1),(124,1),(170,1)}
       149:{3,4,6,7}:{(123,1),(125,1),(129,1),(163,1),(170,1),(171,1),(174,1),(194,1),(199,1),(201,1),(208,1)}
       150:{4,6}:{(124,1),(170,1),(172,1)}
       151:{3,5}:{(125,1),(133,1),(167,1),(172,1)}
       152:{1,2,7}:{(126,1),(130,1),(173,1)}
       153:{3,7}:{(127,1),(131,1)}
       154:{2,4,7}:{(128,1),(132,1),(170,1),(174,1)}
       155:{2,5,7}:{(129,1),(133,1),(171,1),(176,1)}
       156:{1,3,6}:{(130,1),(131,1),(134,1),(173,1),(177,1)}
       157:{3,4,6}:{(131,1),(132,1),(135,1),(174,1),(177,1),(178,1),(201,1)}
       158:{2,4,5}:{(132,1),(133,1),(172,1),(178,1)}
       159:{1,4}:{(134,1),(135,1)}
       160:{1,3,7}:{(136,1),(140,1),(179,1),(180,1)}
       161:{1,2,4,7}:{(136,1),(137,1),(138,1),(141,1),(179,1),(180,1),(181,1),(202,1)}
       162:{1,3,5,7}:{(138,1),(139,1),(142,1),(148,1),(180,1),(181,1),(182,1),(203,1)}
       163:{1,4,6,7}:{(139,1),(143,1),(149,1),(181,1),(182,1),(189,1),(204,1),(206,1)}
       164:{1,2,6}:{(140,1),(144,1),(179,1),(183,1)}
       165:{3,6}:{(141,1),(145,1),(180,1)}
       166:{1,4,6}:{(142,1),(146,1),(150,1),(181,1),(184,1),(185,1)}
       167:{1,5}:{(143,1),(151,1)}
       168:{2,3,5}:{(144,1),(145,1),(147,1),(183,1),(186,1),(205,1)}
       169:{3,4}:{(145,1),(146,1),(186,1)}
       170:{4,7}:{(148,1),(150,1)}
       171:{3,5,7}:{(149,1),(151,1),(155,1),(182,1),(187,1),(188,1)}
       172:{4,5}:{(150,1),(151,1)}
       173:{1,3,7}:{(152,1),(153,1),(156,1),(189,1)}
       174:{3,4,7}:{(153,1),(154,1),(157,1),(189,1),(190,1)}
       175:{2,4,5,7}:{(154,1),(155,1),(158,1),(187,1),(190,1),(191,1)}
       176:{2,5,6}:{(155,1),(188,1),(191,1),(209,1)}
       177:{1,4,6}:{(156,1),(157,1),(159,1),(189,1),(192,1),(206,1)}
       178:{3,5}:{(157,1),(158,1),(192,1)}
       179:{1,2,7}:{(160,1),(164,1),(193,1)}
       180:{3,7}:{(161,1),(165,1)}
       181:{1,4,7}:{(162,1),(166,1),(170,1),(194,1)}
       182:{1,5,7}:{(163,1),(167,1),(171,1),(196,1)}
       183:{2,3,6}:{(164,1),(165,1),(168,1),(193,1),(197,1)}
       184:{3,4,6}:{(165,1),(166,1),(169,1),(194,1),(197,1),(198,1),(208,1)}
       185:{1,4,5}:{(166,1),(167,1),(172,1),(198,1)}
       186:{2,4}:{(168,1),(169,1)}
       187:{4,5,7}:{(170,1),(171,1),(172,1),(199,1)}
       188:{3,5,6}:{(171,1),(176,1),(196,1),(199,1),(201,1),(208,1)}
       189:{1,4,7}:{(173,1),(174,1),(177,1),(200,1)}
       190:{3,5,7}:{(174,1),(175,1),(178,1),(200,1),(201,1)}
       191:{2,4,6}:{(175,1),(176,1),(199,1),(201,1)}
       192:{1,5}:{(177,1),(178,1)}
       193:{2,3,7}:{(179,1),(180,1),(183,1),(202,1)}
       194:{3,4,7}:{(180,1),(181,1),(184,1),(202,1),(203,1)}
       195:{1,4,5,7}:{(181,1),(182,1),(185,1),(187,1),(203,1),(204,1)}
       196:{1,5,6}:{(182,1),(188,1),(204,1),(206,1)}
       197:{2,4,6}:{(183,1),(184,1),(186,1),(202,1),(205,1),(209,1)}
       198:{3,5}:{(184,1),(185,1),(205,1)}
       199:{4,6}:{(187,1),(188,1)}
       200:{1,5,7}:{(189,1),(190,1),(192,1),(206,1)}
       201:{3,6}:{(190,1),(191,1),(206,1)}
       202:{2,4,7}:{(193,1),(194,1),(197,1),(207,1)}
       203:{3,5,7}:{(194,1),(195,1),(198,1),(207,1),(208,1)}
       204:{1,4,6}:{(195,1),(196,1),(199,1),(208,1)}
       205:{2,5}:{(197,1),(198,1)}
       206:{1,6}:{(200,1),(201,1)}
       207:{2,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       208:{3,6}:{(203,1),(204,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

1171 :   0:{1,2,3,7}:{(4,1),(5,1),(158,1),(200,1),(210,1)}
         1:{1,3,4,7}:{(4,1),(6,1),(7,1),(25,1),(94,1),(138,1),(158,1)}
         2:{1,2,3,5,7}:{(0,1),(8,1),(10,1),(11,1),(16,1),(18,1),(41,1),(43,1),(46,1),(49,1)}
         3:{3,4,5,7}:{(12,1),(13,1),(14,1),(46,1),(54,1),(65,1),(106,1),(113,1),(129,1),(174,1),(180,1)}
         4:{1,2,4,7}:{(0,1),(1,1),(15,1),(16,1),(17,1),(173,1)}
         5:{1,2,3,6}:{(0,1),(17,1),(18,1),(125,1),(190,1)}
         6:{1,3,5,7}:{(1,1),(13,1),(16,1),(19,1),(20,1),(46,1),(171,1),(216,1)}
         7:{1,3,4,6}:{(1,1),(17,1),(19,1),(20,1),(47,1),(62,1),(64,1),(125,1)}
         8:{1,2,3,7}:{(21,1),(22,1),(162,1),(196,1),(226,1)}
         9:{2,3,4,7}:{(21,1),(23,1),(24,1),(25,1),(93,1),(140,1),(196,1)}
        10:{1,2,4,7}:{(2,1),(25,1),(27,1),(36,1),(70,1)}
        11:{1,2,3,6}:{(2,1),(27,1),(34,1),(68,1),(76,1)}
        12:{2,4,5,7}:{(3,1),(23,1),(28,1),(73,1),(80,1),(96,1),(140,1),(163,1)}
        13:{1,4,5,7}:{(3,1),(6,1),(29,1),(39,1),(82,1),(94,1),(142,1),(201,1)}
        14:{3,4,6}:{(3,1),(28,1),(29,1),(31,1),(76,1),(148,1)}
        15:{2,3,4,7}:{(4,1),(25,1),(32,1),(33,1),(139,1),(155,1),(158,1)}
        16:{1,2,5,7}:{(4,1),(6,1),(32,1),(34,1),(35,1),(199,1),(226,1)}
        17:{1,2,4,6}:{(4,1),(5,1),(7,1),(33,1),(34,1),(35,1),(36,1)}
        18:{1,2,3,5}:{(5,1),(35,1),(36,1),(91,1),(161,1),(162,1)}
        19:{1,3,6}:{(6,1),(29,1),(34,1),(76,1)}
        20:{1,3,5}:{(7,1),(35,1),(39,1),(77,1),(91,1)}
        21:{1,2,4,7}:{(8,1),(9,1),(40,1),(41,1),(42,1),(128,1)}
        22:{1,2,3,6}:{(8,1),(42,1),(43,1),(170,1),(218,1)}
        23:{2,3,5,7}:{(9,1),(12,1),(41,1),(44,1),(45,1),(46,1),(127,1),(189,1)}
        24:{2,3,4,6}:{(9,1),(42,1),(44,1),(45,1),(47,1),(103,1),(105,1),(170,1)}
        25:{3,4,7}:{(10,1),(46,1),(47,1),(62,1),(103,1),(180,1)}
        26:{1,2,4,5,7}:{(10,1),(12,1),(13,1),(16,1),(41,1),(46,1),(48,1),(49,1),(56,1),(61,1),(97,1),(102,1),(113,1),(114,1),(124,1),(169,1),(180,1)}
        27:{1,2,4,6}:{(10,1),(11,1),(47,1),(49,1)}
        28:{2,4,6}:{(12,1),(14,1),(44,1),(51,1)}
        29:{1,4,6}:{(13,1),(14,1),(19,1),(53,1)}
        30:{3,4,6,7}:{(14,1),(50,1),(52,1),(54,1),(109,1),(111,1),(129,1),(174,1),(176,1),(177,1),(180,1)}
        31:{3,5,6}:{(14,1),(51,1),(53,1),(54,1),(55,1)}
        32:{2,3,5,7}:{(15,1),(16,1),(46,1),(56,1),(57,1),(58,1),(172,1),(217,1)}
        33:{2,3,4,6}:{(15,1),(17,1),(47,1),(57,1),(58,1),(62,1),(122,1),(125,1)}
        34:{1,2,6}:{(16,1),(19,1),(57,1)}
        35:{1,2,5}:{(17,1),(20,1),(58,1)}
        36:{1,2,4}:{(18,1),(62,1)}
        37:{1,3,6,7}:{(19,1),(52,1),(59,1),(63,1),(111,1),(177,1),(216,1)}
        38:{1,3,5,6}:{(19,1),(20,1),(53,1),(60,1),(63,1),(64,1),(112,1),(118,1),(125,1)}
        39:{1,4,5}:{(20,1),(64,1),(65,1),(113,1)}
        40:{1,3,4,7}:{(21,1),(25,1),(66,1),(67,1),(92,1),(193,1),(196,1)}
        41:{1,2,5,7}:{(21,1),(23,1),(66,1),(68,1),(69,1),(161,1),(210,1)}
        42:{1,2,4,6}:{(21,1),(22,1),(24,1),(67,1),(68,1),(69,1),(70,1)}
        43:{1,2,3,5}:{(22,1),(69,1),(70,1),(137,1),(199,1),(200,1)}
        44:{2,3,6}:{(23,1),(28,1),(68,1),(76,1)}
        45:{2,3,5}:{(24,1),(69,1),(73,1),(77,1),(137,1)}
        46:{3,5,7}:{(25,1),(26,1),(76,1),(77,1),(91,1),(137,1),(158,1),(196,1)}
        47:{3,4,6}:{(25,1),(27,1),(76,1),(77,1),(148,1)}
        48:{1,2,4,6}:{(26,1),(28,1),(29,1),(34,1),(68,1),(76,1),(79,1),(85,1),(131,1),(148,1)}
        49:{1,2,5}:{(27,1),(77,1)}
        50:{2,4,6,7}:{(28,1),(30,1),(71,1),(80,1),(140,1),(163,1),(203,1)}
        51:{2,5,6}:{(28,1),(31,1),(80,1)}
        52:{1,4,6,7}:{(29,1),(30,1),(37,1),(82,1),(94,1),(201,1),(202,1)}
        53:{1,5,6}:{(29,1),(31,1),(82,1)}
        54:{3,5,7}:{(30,1),(31,1),(80,1),(82,1),(84,1)}
        55:{4,5,6}:{(31,1),(84,1),(148,1)}
        56:{2,4,5,7}:{(32,1),(75,1),(85,1),(88,1),(153,1),(155,1),(195,1),(225,1)}
        57:{2,3,6}:{(32,1),(34,1),(76,1),(85,1)}
        58:{2,3,5}:{(33,1),(35,1),(77,1),(88,1),(91,1)}
        59:{1,2,6,7}:{(34,1),(37,1),(86,1),(89,1),(203,1),(226,1),(227,1)}
        60:{1,2,5,6}:{(34,1),(35,1),(38,1),(87,1),(89,1),(90,1),(152,1),(208,1)}
        61:{1,2,4,5}:{(35,1),(36,1),(39,1),(88,1),(90,1),(91,1),(96,1),(157,1),(161,1)}
        62:{3,4}:{(36,1),(91,1)}
        63:{1,3,5,7}:{(37,1),(38,1),(82,1),(89,1),(94,1),(147,1),(151,1),(158,1)}
        64:{1,4,6}:{(38,1),(39,1),(94,1),(95,1),(148,1)}
        65:{3,4,5}:{(39,1),(91,1),(95,1),(96,1)}
        66:{1,3,5,7}:{(40,1),(41,1),(46,1),(97,1),(98,1),(99,1),(126,1),(188,1)}
        67:{1,3,4,6}:{(40,1),(42,1),(47,1),(98,1),(99,1),(103,1),(167,1),(170,1)}
        68:{1,2,6}:{(41,1),(44,1),(98,1)}
        69:{1,2,5}:{(42,1),(45,1),(99,1)}
        70:{1,2,4}:{(43,1),(103,1)}
        71:{2,3,6,7}:{(44,1),(50,1),(100,1),(104,1),(111,1),(176,1),(189,1)}
        72:{2,3,5,6}:{(44,1),(45,1),(51,1),(101,1),(104,1),(105,1),(112,1),(116,1),(170,1)}
        73:{2,4,5}:{(45,1),(105,1),(106,1),(113,1)}
        74:{3,5,6,7}:{(54,1),(107,1),(108,1),(109,1),(176,1),(177,1)}
        75:{3,4,5,7}:{(46,1),(56,1),(97,1),(110,1),(113,1),(123,1),(168,1),(178,1),(180,1),(186,1),(214,1)}
        76:{3,6}:{(46,1),(48,1)}
        77:{3,5}:{(47,1),(49,1),(113,1)}
        78:{1,2,4,6,7}:{(48,1),(50,1),(52,1),(59,1),(100,1),(111,1),(114,1),(119,1),(124,1),(164,1),(169,1),(180,1)}
        79:{1,2,5,6}:{(48,1),(49,1),(51,1),(53,1),(112,1),(114,1),(120,1),(165,1)}
        80:{2,5,7}:{(50,1),(51,1),(54,1)}
        81:{2,4,5,6}:{(51,1),(55,1),(105,1),(115,1),(116,1)}
        82:{1,5,7}:{(52,1),(53,1),(54,1)}
        83:{1,4,5,6}:{(53,1),(55,1),(64,1),(117,1),(118,1)}
        84:{4,5,7}:{(54,1),(55,1),(109,1),(180,1)}
        85:{2,4,6}:{(56,1),(57,1),(110,1),(120,1)}
        86:{2,3,6,7}:{(57,1),(59,1),(111,1),(119,1),(121,1),(217,1),(220,1)}
        87:{2,3,5,6}:{(57,1),(58,1),(60,1),(112,1),(120,1),(121,1),(122,1),(125,1),(185,1)}
        88:{2,4,5}:{(58,1),(113,1),(122,1),(123,1)}
        89:{1,2,5,7}:{(59,1),(60,1),(63,1),(121,1),(124,1),(182,1),(221,1)}
        90:{1,2,4,6}:{(60,1),(61,1),(64,1),(122,1),(124,1),(125,1),(130,1),(187,1),(190,1)}
        91:{3,5}:{(61,1),(62,1),(125,1)}
        92:{1,3,4}:{(62,1),(126,1),(128,1)}
        93:{2,3,4}:{(62,1),(127,1),(128,1)}
        94:{1,4,7}:{(63,1),(64,1),(129,1),(180,1)}
        95:{3,4,6}:{(64,1),(65,1),(118,1),(125,1),(129,1),(130,1)}
        96:{2,4,5}:{(65,1),(127,1),(130,1)}
        97:{1,4,5,7}:{(66,1),(75,1),(131,1),(134,1),(157,1),(191,1),(193,1),(209,1)}
        98:{1,3,6}:{(66,1),(68,1),(76,1),(131,1)}
        99:{1,3,5}:{(67,1),(69,1),(77,1),(134,1),(137,1)}
       100:{1,2,6,7}:{(68,1),(71,1),(132,1),(135,1),(202,1),(210,1),(230,1)}
       101:{1,2,5,6}:{(68,1),(69,1),(72,1),(133,1),(135,1),(136,1),(150,1),(224,1)}
       102:{1,2,4,5}:{(69,1),(70,1),(73,1),(134,1),(136,1),(137,1),(142,1),(195,1),(199,1)}
       103:{3,4}:{(70,1),(137,1)}
       104:{2,3,5,7}:{(71,1),(72,1),(80,1),(135,1),(140,1),(147,1),(149,1),(196,1)}
       105:{2,4,6}:{(72,1),(73,1),(140,1),(141,1),(148,1)}
       106:{3,4,5}:{(73,1),(137,1),(141,1),(142,1)}
       107:{2,5,6,7}:{(74,1),(80,1),(143,1),(203,1)}
       108:{1,5,6,7}:{(74,1),(82,1),(144,1),(202,1)}
       109:{4,6,7}:{(74,1),(84,1)}
       110:{3,4,6}:{(75,1),(76,1),(85,1),(131,1),(146,1),(148,1)}
       111:{3,6,7}:{(76,1),(78,1),(147,1),(158,1),(196,1)}
       112:{3,5,6}:{(76,1),(77,1),(79,1),(147,1),(148,1)}
       113:{4,5}:{(77,1),(148,1)}
       114:{1,2,5,7}:{(78,1),(79,1),(80,1),(82,1),(147,1),(153,1),(191,1)}
       115:{2,4,5,7}:{(80,1),(81,1),(84,1),(140,1),(143,1),(149,1)}
       116:{3,5,6}:{(81,1),(141,1),(149,1),(150,1)}
       117:{1,4,5,7}:{(82,1),(83,1),(84,1),(94,1),(144,1),(151,1)}
       118:{3,5,6}:{(83,1),(95,1),(151,1),(152,1)}
       119:{2,4,6,7}:{(85,1),(86,1),(145,1),(153,1),(155,1),(225,1),(230,1)}
       120:{2,5,6}:{(85,1),(146,1),(153,1)}
       121:{2,3,5,7}:{(86,1),(87,1),(89,1),(147,1),(153,1),(155,1),(158,1),(207,1)}
       122:{2,4,6}:{(87,1),(88,1),(148,1),(155,1),(156,1)}
       123:{3,4,5}:{(88,1),(91,1),(156,1),(157,1)}
       124:{1,2,4,7}:{(89,1),(90,1),(94,1),(155,1),(158,1),(163,1),(209,1),(210,1)}
       125:{3,6}:{(90,1),(91,1),(158,1)}
       126:{1,3,5}:{(91,1),(92,1),(157,1),(159,1),(161,1)}
       127:{2,3,5}:{(91,1),(93,1),(96,1),(160,1),(161,1)}
       128:{1,2,4}:{(92,1),(93,1),(161,1),(162,1)}
       129:{3,4,7}:{(94,1),(95,1),(151,1),(158,1),(163,1)}
       130:{2,4,6}:{(95,1),(96,1),(152,1),(160,1),(163,1)}
       131:{1,4,6}:{(97,1),(98,1),(110,1),(165,1)}
       132:{1,3,6,7}:{(98,1),(100,1),(111,1),(164,1),(166,1),(188,1),(228,1)}
       133:{1,3,5,6}:{(98,1),(99,1),(101,1),(112,1),(165,1),(166,1),(167,1),(170,1),(213,1)}
       134:{1,4,5}:{(99,1),(113,1),(167,1),(168,1)}
       135:{1,2,5,7}:{(100,1),(101,1),(104,1),(166,1),(169,1),(181,1),(229,1)}
       136:{1,2,4,6}:{(101,1),(102,1),(105,1),(167,1),(169,1),(170,1),(175,1),(215,1),(218,1)}
       137:{3,5}:{(102,1),(103,1),(170,1)}
       138:{1,3,4}:{(103,1),(171,1),(173,1)}
       139:{2,3,4}:{(103,1),(172,1),(173,1)}
       140:{2,4,7}:{(104,1),(105,1),(174,1),(180,1)}
       141:{3,4,6}:{(105,1),(106,1),(116,1),(170,1),(174,1),(175,1)}
       142:{1,4,5}:{(106,1),(171,1),(175,1)}
       143:{2,4,6,7}:{(107,1),(109,1),(115,1),(176,1)}
       144:{1,4,6,7}:{(108,1),(109,1),(117,1),(177,1)}
       145:{3,4,6,7}:{(110,1),(111,1),(119,1),(164,1),(178,1),(180,1),(186,1),(214,1),(219,1),(220,1),(228,1)}
       146:{3,5,6}:{(110,1),(120,1),(165,1),(178,1),(179,1)}
       147:{3,5,7}:{(111,1),(112,1),(114,1),(180,1)}
       148:{4,6}:{(112,1),(113,1),(180,1)}
       149:{3,5,7}:{(115,1),(116,1),(174,1),(176,1),(181,1)}
       150:{1,5,6}:{(116,1),(175,1),(181,1)}
       151:{3,5,7}:{(117,1),(118,1),(129,1),(177,1),(182,1)}
       152:{2,5,6}:{(118,1),(130,1),(182,1)}
       153:{2,5,7}:{(119,1),(120,1),(178,1)}
       154:{2,4,5,6}:{(120,1),(122,1),(179,1),(184,1),(185,1)}
       155:{2,4,7}:{(121,1),(122,1),(180,1),(186,1)}
       156:{3,4,6}:{(122,1),(123,1),(125,1),(185,1),(186,1),(187,1)}
       157:{1,4,5}:{(123,1),(126,1),(187,1)}
       158:{3,7}:{(124,1),(125,1)}
       159:{1,3,6}:{(125,1),(126,1),(187,1),(188,1),(190,1)}
       160:{2,3,6}:{(125,1),(127,1),(130,1),(189,1),(190,1)}
       161:{1,2,5}:{(126,1),(127,1),(128,1),(190,1)}
       162:{1,2,3}:{(128,1)}
       163:{2,4,7}:{(129,1),(130,1),(182,1),(189,1)}
       164:{1,4,6,7}:{(131,1),(132,1),(145,1),(191,1),(193,1),(209,1),(227,1)}
       165:{1,5,6}:{(131,1),(146,1),(191,1)}
       166:{1,3,5,7}:{(132,1),(133,1),(135,1),(147,1),(191,1),(193,1),(196,1),(223,1)}
       167:{1,4,6}:{(133,1),(134,1),(148,1),(193,1),(194,1)}
       168:{3,4,5}:{(134,1),(137,1),(194,1),(195,1)}
       169:{1,2,4,7}:{(135,1),(136,1),(140,1),(193,1),(196,1),(201,1),(225,1),(226,1)}
       170:{3,6}:{(136,1),(137,1),(196,1)}
       171:{1,3,5}:{(137,1),(138,1),(142,1),(197,1),(199,1)}
       172:{2,3,5}:{(137,1),(139,1),(195,1),(198,1),(199,1)}
       173:{1,2,4}:{(138,1),(139,1),(199,1),(200,1)}
       174:{3,4,7}:{(140,1),(141,1),(149,1),(196,1),(201,1)}
       175:{1,4,6}:{(141,1),(142,1),(150,1),(197,1),(201,1)}
       176:{3,6,7}:{(143,1),(149,1),(202,1)}
       177:{3,6,7}:{(144,1),(151,1),(203,1)}
       178:{3,5,7}:{(145,1),(146,1),(153,1),(191,1),(205,1)}
       179:{4,5,6}:{(146,1),(148,1),(205,1)}
       180:{4,7}:{(147,1),(148,1)}
       181:{1,5,7}:{(149,1),(150,1),(201,1),(202,1)}
       182:{2,5,7}:{(151,1),(152,1),(163,1),(203,1)}
       183:{2,5,6,7}:{(153,1),(204,1),(206,1),(230,1)}
       184:{2,4,5,7}:{(153,1),(154,1),(155,1),(205,1),(206,1),(207,1)}
       185:{3,5,6}:{(154,1),(156,1),(207,1),(208,1)}
       186:{3,4,7}:{(155,1),(156,1),(158,1),(207,1),(209,1)}
       187:{1,4,6}:{(156,1),(157,1),(159,1),(208,1),(209,1)}
       188:{1,3,7}:{(158,1),(159,1),(209,1),(210,1)}
       189:{2,3,7}:{(158,1),(160,1),(163,1),(210,1)}
       190:{1,2,6}:{(159,1),(160,1),(161,1),(210,1)}
       191:{1,5,7}:{(164,1),(165,1),(178,1)}
       192:{1,4,5,6}:{(165,1),(167,1),(179,1),(212,1),(213,1)}
       193:{1,4,7}:{(166,1),(167,1),(180,1),(214,1)}
       194:{3,4,6}:{(167,1),(168,1),(170,1),(213,1),(214,1),(215,1)}
       195:{2,4,5}:{(168,1),(172,1),(215,1)}
       196:{3,7}:{(169,1),(170,1)}
       197:{1,3,6}:{(170,1),(171,1),(175,1),(216,1),(218,1)}
       198:{2,3,6}:{(170,1),(172,1),(215,1),(217,1),(218,1)}
       199:{1,2,5}:{(171,1),(172,1),(173,1),(218,1)}
       200:{1,2,3}:{(173,1)}
       201:{1,4,7}:{(174,1),(175,1),(181,1),(216,1)}
       202:{1,6,7}:{(176,1),(181,1)}
       203:{2,6,7}:{(177,1),(182,1)}
       204:{3,5,6,7}:{(178,1),(183,1),(211,1),(219,1),(220,1),(228,1)}
       205:{4,5,7}:{(178,1),(179,1),(180,1),(219,1)}
       206:{2,4,6,7}:{(183,1),(184,1),(219,1),(220,1)}
       207:{3,5,7}:{(184,1),(185,1),(186,1),(220,1),(221,1)}
       208:{1,5,6}:{(185,1),(187,1),(221,1)}
       209:{1,4,7}:{(186,1),(187,1),(188,1),(221,1)}
       210:{1,2,7}:{(188,1),(189,1),(190,1)}
       211:{1,5,6,7}:{(191,1),(204,1),(222,1),(227,1)}
       212:{1,4,5,7}:{(191,1),(192,1),(193,1),(205,1),(222,1),(223,1)}
       213:{3,5,6}:{(192,1),(194,1),(223,1),(224,1)}
       214:{3,4,7}:{(193,1),(194,1),(196,1),(223,1),(225,1)}
       215:{2,4,6}:{(194,1),(195,1),(198,1),(224,1),(225,1)}
       216:{1,3,7}:{(196,1),(197,1),(201,1),(226,1)}
       217:{2,3,7}:{(196,1),(198,1),(225,1),(226,1)}
       218:{1,2,6}:{(197,1),(198,1),(199,1),(226,1)}
       219:{4,6,7}:{(204,1),(205,1)}
       220:{3,6,7}:{(206,1),(207,1),(227,1)}
       221:{1,5,7}:{(207,1),(208,1),(209,1),(227,1)}
       222:{1,4,6,7}:{(211,1),(212,1),(219,1),(228,1)}
       223:{3,5,7}:{(212,1),(213,1),(214,1),(228,1),(229,1)}
       224:{2,5,6}:{(213,1),(215,1),(229,1)}
       225:{2,4,7}:{(214,1),(215,1),(217,1),(229,1)}
       226:{1,2,7}:{(216,1),(217,1),(218,1)}
       227:{1,6,7}:{(220,1),(221,1)}
       228:{3,6,7}:{(222,1),(223,1),(230,1)}
       229:{2,5,7}:{(223,1),(224,1),(225,1),(230,1)}
       230:{2,6,7}:{(228,1),(229,1)}

1172 :   0:{1,2,3}:{(4,1)}
         1:{1,3,4}:{(4,1),(5,1),(23,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(8,1),(10,1),(15,1),(32,1),(36,1),(41,1)}
         3:{3,4,5}:{(11,1),(12,1),(13,1),(41,1),(67,1)}
         4:{1,2,4}:{(0,1),(1,1),(14,1),(15,1)}
         5:{1,3,5}:{(1,1),(12,1),(15,1),(16,1),(41,1)}
         6:{1,2,3}:{(17,1)}
         7:{2,3,4}:{(17,1),(18,1),(23,1)}
         8:{1,2,3,6}:{(2,1),(19,1),(20,1),(29,1),(49,1),(60,1)}
         9:{4,5,6}:{(21,1),(22,1),(81,1),(98,1)}
        10:{1,2,4}:{(2,1),(23,1)}
        11:{2,4,5}:{(3,1),(18,1),(25,1)}
        12:{1,4,5}:{(3,1),(5,1),(26,1)}
        13:{3,4,6}:{(3,1),(21,1),(25,1),(26,1),(27,1),(60,1),(81,1)}
        14:{2,3,4}:{(4,1),(23,1),(28,1)}
        15:{1,2,5}:{(4,1),(5,1),(28,1),(29,1)}
        16:{1,3,6}:{(5,1),(26,1),(29,1),(30,1),(60,1)}
        17:{1,2,4}:{(6,1),(7,1),(31,1),(32,1)}
        18:{2,3,5}:{(7,1),(11,1),(32,1),(33,1),(41,1)}
        19:{1,2,3,7}:{(8,1),(35,1),(47,1),(66,1),(75,1)}
        20:{1,2,4,6}:{(8,1),(10,1),(34,1),(35,1),(36,1),(70,1)}
        21:{3,5,6}:{(9,1),(13,1),(37,1),(38,1),(39,1)}
        22:{4,5,7}:{(9,1),(39,1),(40,1),(92,1),(103,1)}
        23:{3,4}:{(10,1),(41,1)}
        24:{1,2,4,5}:{(10,1),(11,1),(12,1),(15,1),(32,1),(36,1),(41,1),(42,1),(45,1),(64,1),(67,1)}
        25:{2,4,6}:{(11,1),(13,1),(33,1),(37,1),(43,1)}
        26:{1,4,6}:{(12,1),(13,1),(16,1),(38,1),(44,1)}
        27:{3,4,7}:{(13,1),(39,1),(43,1),(44,1),(75,1),(92,1)}
        28:{2,3,5}:{(14,1),(15,1),(41,1),(45,1),(46,1)}
        29:{1,2,6}:{(15,1),(16,1),(46,1),(47,1)}
        30:{1,3,7}:{(16,1),(44,1),(47,1),(75,1)}
        31:{1,3,4}:{(17,1),(23,1),(48,1)}
        32:{1,2,5}:{(17,1),(18,1),(48,1),(49,1)}
        33:{2,3,6}:{(18,1),(25,1),(49,1),(50,1),(60,1)}
        34:{3,4,6}:{(20,1),(23,1),(51,1),(52,1),(60,1),(81,1),(82,1)}
        35:{1,2,4,7}:{(19,1),(20,1),(51,1),(53,1)}
        36:{1,2,5}:{(20,1),(52,1)}
        37:{2,5,6}:{(21,1),(25,1),(55,1)}
        38:{1,5,6}:{(21,1),(26,1),(56,1)}
        39:{3,5,7}:{(21,1),(22,1),(27,1),(55,1),(56,1),(57,1)}
        40:{4,6,7}:{(22,1),(57,1),(58,1)}
        41:{3,5}:{(23,1),(24,1),(60,1)}
        42:{1,2,4,6}:{(24,1),(25,1),(26,1),(29,1),(49,1),(54,1),(60,1),(61,1),(62,1),(78,1),(81,1)}
        43:{2,4,7}:{(25,1),(27,1),(50,1),(55,1)}
        44:{1,4,7}:{(26,1),(27,1),(30,1),(56,1)}
        45:{2,4,5}:{(28,1),(59,1),(62,1)}
        46:{2,3,6}:{(28,1),(29,1),(60,1),(62,1),(63,1)}
        47:{1,2,7}:{(29,1),(30,1),(63,1)}
        48:{1,3,5}:{(31,1),(32,1),(41,1),(64,1),(65,1)}
        49:{1,2,6}:{(32,1),(33,1),(65,1),(66,1)}
        50:{2,3,7}:{(33,1),(43,1),(66,1),(75,1)}
        51:{3,4,7}:{(34,1),(35,1),(68,1),(75,1),(92,1)}
        52:{3,5}:{(34,1),(36,1),(67,1)}
        53:{1,2,5,7}:{(35,1),(36,1),(68,1),(70,1)}
        54:{1,2,5,6}:{(36,1),(37,1),(38,1),(42,1),(69,1),(70,1),(71,1),(76,1),(88,1)}
        55:{2,5,7}:{(37,1),(39,1),(43,1),(72,1)}
        56:{1,5,7}:{(38,1),(39,1),(44,1),(73,1)}
        57:{3,6,7}:{(39,1),(40,1),(72,1),(73,1)}
        58:{5,6,7}:{(40,1),(103,1)}
        59:{3,4,5}:{(41,1),(45,1),(64,1),(67,1),(74,1)}
        60:{3,6}:{(41,1),(42,1),(75,1)}
        61:{1,2,4,7}:{(42,1),(43,1),(44,1),(47,1),(66,1),(71,1),(75,1),(77,1),(89,1),(92,1)}
        62:{2,4,6}:{(45,1),(46,1),(74,1),(76,1),(77,1)}
        63:{2,3,7}:{(46,1),(47,1),(75,1),(77,1)}
        64:{1,4,5}:{(48,1),(59,1),(78,1)}
        65:{1,3,6}:{(48,1),(49,1),(60,1),(78,1),(79,1)}
        66:{1,2,7}:{(49,1),(50,1),(79,1)}
        67:{4,5}:{(52,1),(81,1)}
        68:{3,5,7}:{(51,1),(52,1),(53,1),(80,1),(82,1)}
        69:{3,5,6}:{(52,1),(54,1),(60,1),(81,1),(82,1),(83,1),(98,1)}
        70:{1,2,6}:{(53,1),(82,1)}
        71:{1,2,5,7}:{(54,1),(55,1),(56,1),(61,1),(83,1),(84,1),(87,1),(96,1)}
        72:{2,6,7}:{(55,1),(57,1)}
        73:{1,6,7}:{(56,1),(57,1)}
        74:{3,4,6}:{(59,1),(60,1),(62,1),(78,1),(81,1),(85,1),(86,1)}
        75:{3,7}:{(60,1),(61,1)}
        76:{2,5,6}:{(62,1),(85,1),(87,1)}
        77:{2,4,7}:{(62,1),(63,1),(86,1),(87,1)}
        78:{1,4,6}:{(64,1),(65,1),(74,1),(88,1),(89,1)}
        79:{1,3,7}:{(65,1),(66,1),(75,1),(89,1)}
        80:{4,5,7}:{(67,1),(68,1),(91,1),(92,1),(103,1)}
        81:{4,6}:{(67,1),(69,1),(92,1)}
        82:{3,6}:{(68,1),(70,1),(91,1)}
        83:{3,5,7}:{(69,1),(71,1),(75,1),(92,1),(93,1),(103,1)}
        84:{1,2,6,7}:{(70,1),(71,1),(72,1),(73,1),(93,1),(95,1),(101,1)}
        85:{3,5,6}:{(74,1),(76,1),(88,1),(90,1),(94,1)}
        86:{3,4,7}:{(74,1),(75,1),(77,1),(89,1),(92,1),(94,1)}
        87:{2,5,7}:{(76,1),(77,1),(94,1),(95,1)}
        88:{1,5,6}:{(78,1),(85,1),(96,1)}
        89:{1,4,7}:{(78,1),(79,1),(86,1),(96,1)}
        90:{4,5,6}:{(81,1),(85,1),(97,1),(98,1)}
        91:{4,6}:{(80,1),(82,1),(98,1)}
        92:{4,7}:{(81,1),(83,1)}
        93:{3,6,7}:{(82,1),(83,1),(84,1),(99,1)}
        94:{3,5,7}:{(85,1),(86,1),(87,1),(96,1),(97,1),(100,1)}
        95:{2,6,7}:{(87,1),(100,1)}
        96:{1,5,7}:{(88,1),(89,1),(94,1),(101,1)}
        97:{4,5,7}:{(90,1),(92,1),(94,1),(102,1),(103,1)}
        98:{5,6}:{(91,1),(103,1)}
        99:{4,6,7}:{(91,1),(92,1),(93,1),(103,1)}
       100:{3,6,7}:{(94,1),(95,1),(101,1),(102,1)}
       101:{1,6,7}:{(96,1),(100,1)}
       102:{4,6,7}:{(97,1),(100,1),(104,1)}
       103:{5,7}:{(98,1),(99,1)}
       104:{5,6,7}:{(102,1),(103,1)}

1173 :  0:{1,3,4}:{(2,1),(3,1),(47,1)}
        1:{3,4,5}:{(6,1),(7,1),(8,1),(34,1),(73,1)}
        2:{1,3,5}:{(0,1),(7,1),(9,1),(10,1),(34,1)}
        3:{1,2,4}:{(0,1),(10,1),(11,1),(37,1)}
        4:{2,3,4}:{(12,1),(13,1),(47,1)}
        5:{4,5,6}:{(15,1),(16,1),(65,1),(83,1)}
        6:{3,4,6}:{(1,1),(16,1),(17,1),(18,1),(19,1),(46,1),(65,1)}
        7:{1,4,5}:{(1,1),(2,1),(18,1)}
        8:{2,4,5}:{(1,1),(12,1),(19,1)}
        9:{1,3,6}:{(2,1),(18,1),(21,1),(22,1),(46,1)}
       10:{1,2,5}:{(2,1),(3,1),(22,1),(23,1)}
       11:{2,3}:{(3,1)}
       12:{2,3,5}:{(4,1),(8,1),(24,1),(25,1),(34,1)}
       13:{1,2,4}:{(4,1),(25,1),(26,1),(52,1)}
       14:{5,6,7}:{(27,1),(81,1)}
       15:{4,5,7}:{(5,1),(27,1),(28,1),(72,1),(81,1)}
       16:{3,5,6}:{(5,1),(6,1),(28,1),(29,1),(30,1)}
       17:{3,4,7}:{(6,1),(28,1),(31,1),(32,1),(57,1),(72,1)}
       18:{1,4,6}:{(6,1),(7,1),(9,1),(29,1),(31,1)}
       19:{2,4,6}:{(6,1),(8,1),(24,1),(30,1),(32,1)}
       20:{1,2,4,5}:{(7,1),(8,1),(10,1),(25,1),(33,1),(34,1),(37,1),(52,1),(60,1),(70,1),(73,1)}
       21:{1,3,7}:{(9,1),(31,1),(35,1),(57,1)}
       22:{1,2,6}:{(9,1),(10,1),(35,1),(36,1)}
       23:{2,3,5}:{(10,1),(11,1),(34,1),(36,1),(37,1),(60,1)}
       24:{2,3,6}:{(12,1),(19,1),(38,1),(39,1),(46,1)}
       25:{1,2,5}:{(12,1),(13,1),(39,1),(40,1)}
       26:{1,3}:{(13,1)}
       27:{4,6,7}:{(14,1),(15,1),(41,1)}
       28:{3,5,7}:{(15,1),(16,1),(17,1),(41,1),(42,1),(43,1)}
       29:{1,5,6}:{(16,1),(18,1),(42,1)}
       30:{2,5,6}:{(16,1),(19,1),(43,1)}
       31:{1,4,7}:{(17,1),(18,1),(21,1),(42,1)}
       32:{2,4,7}:{(17,1),(19,1),(38,1),(43,1)}
       33:{1,2,4,6}:{(18,1),(19,1),(20,1),(22,1),(39,1),(44,1),(45,1),(46,1),(49,1),(62,1),(65,1)}
       34:{3,5}:{(20,1),(46,1),(47,1)}
       35:{1,2,7}:{(21,1),(22,1),(48,1)}
       36:{2,3,6}:{(22,1),(23,1),(46,1),(48,1),(49,1)}
       37:{2,4}:{(23,1),(47,1)}
       38:{2,3,7}:{(24,1),(32,1),(50,1),(57,1)}
       39:{1,2,6}:{(24,1),(25,1),(50,1),(51,1)}
       40:{1,3,5}:{(25,1),(26,1),(34,1),(51,1),(52,1),(70,1)}
       41:{3,6,7}:{(27,1),(28,1),(53,1),(54,1)}
       42:{1,5,7}:{(28,1),(29,1),(31,1),(53,1)}
       43:{2,5,7}:{(28,1),(30,1),(32,1),(54,1)}
       44:{1,2,5,6}:{(29,1),(30,1),(33,1),(55,1),(56,1),(60,1),(70,1),(75,1),(80,1)}
       45:{1,2,4,7}:{(31,1),(32,1),(33,1),(35,1),(50,1),(55,1),(57,1),(59,1),(69,1),(72,1)}
       46:{3,6}:{(33,1),(34,1),(57,1)}
       47:{3,4}:{(34,1),(37,1),(52,1)}
       48:{2,3,7}:{(35,1),(36,1),(57,1),(59,1)}
       49:{2,4,6}:{(36,1),(37,1),(58,1),(59,1),(60,1),(75,1)}
       50:{1,2,7}:{(38,1),(39,1),(61,1)}
       51:{1,3,6}:{(39,1),(40,1),(46,1),(61,1),(62,1)}
       52:{1,4}:{(40,1),(47,1)}
       53:{1,6,7}:{(41,1),(42,1)}
       54:{2,6,7}:{(41,1),(43,1)}
       55:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(63,1),(64,1),(68,1),(76,1)}
       56:{3,5,6}:{(44,1),(46,1),(64,1),(65,1),(67,1),(79,1),(83,1)}
       57:{3,7}:{(45,1),(46,1)}
       58:{3,4,6}:{(46,1),(47,1),(49,1),(62,1),(65,1),(66,1),(67,1),(79,1)}
       59:{2,4,7}:{(48,1),(49,1),(66,1),(68,1)}
       60:{2,5}:{(49,1),(67,1)}
       61:{1,3,7}:{(50,1),(51,1),(57,1),(69,1)}
       62:{1,4,6}:{(51,1),(52,1),(58,1),(69,1),(70,1),(80,1)}
       63:{1,2,6,7}:{(53,1),(54,1),(55,1),(71,1),(75,1),(80,1)}
       64:{3,5,7}:{(55,1),(56,1),(57,1),(71,1),(72,1),(81,1)}
       65:{4,6}:{(56,1),(72,1),(73,1)}
       66:{3,4,7}:{(57,1),(58,1),(59,1),(69,1),(72,1),(74,1)}
       67:{3,5}:{(58,1),(60,1),(70,1),(73,1)}
       68:{2,5,7}:{(59,1),(60,1),(74,1),(75,1)}
       69:{1,4,7}:{(61,1),(62,1),(66,1),(76,1)}
       70:{1,5}:{(62,1),(67,1)}
       71:{3,6,7}:{(63,1),(64,1),(77,1),(79,1)}
       72:{4,7}:{(64,1),(65,1)}
       73:{4,5}:{(65,1),(67,1)}
       74:{3,5,7}:{(66,1),(67,1),(68,1),(76,1),(78,1),(79,1)}
       75:{2,6}:{(68,1),(79,1)}
       76:{1,5,7}:{(69,1),(70,1),(74,1),(80,1)}
       77:{4,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       78:{4,5,7}:{(72,1),(73,1),(74,1),(81,1),(82,1)}
       79:{3,6}:{(74,1),(75,1),(80,1),(82,1)}
       80:{1,6}:{(76,1),(79,1)}
       81:{5,7}:{(77,1),(83,1)}
       82:{4,6}:{(78,1),(79,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

1174 :   0:{1,3,5,6}:{(2,1),(3,1),(4,1),(18,1),(22,1),(50,1),(55,1),(56,1),(94,1),(96,1),(125,1),(150,1)}
         1:{2,3,5,6}:{(2,1),(5,1),(6,1),(20,1),(22,1),(51,1),(58,1),(59,1),(95,1),(96,1),(126,1),(150,1)}
         2:{1,2,5,6}:{(0,1),(1,1),(9,1),(10,1),(33,1),(36,1),(72,1),(77,1),(79,1),(112,1),(139,1)}
         3:{1,4,6}:{(0,1),(7,1),(11,1),(12,1),(69,1),(115,1),(159,1)}
         4:{1,3,5,7}:{(0,1),(10,1),(12,1),(13,1),(34,1),(41,1),(45,1),(84,1)}
         5:{2,4,6}:{(1,1),(8,1),(14,1),(15,1),(70,1),(115,1),(159,1)}
         6:{2,3,5,7}:{(1,1),(10,1),(15,1),(16,1),(37,1),(41,1),(48,1),(84,1)}
         7:{1,4,5}:{(3,1),(18,1),(125,1),(127,1)}
         8:{2,4,5}:{(5,1),(20,1),(126,1),(127,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(5,1),(17,1),(22,1),(23,1),(25,1),(28,1),(60,1),(89,1)}
        10:{1,2,5,7}:{(2,1),(4,1),(6,1),(23,1),(24,1),(54,1),(57,1)}
        11:{3,4,6}:{(3,1),(18,1),(22,1),(25,1),(26,1),(49,1),(55,1)}
        12:{1,4,7}:{(3,1),(4,1),(26,1),(104,1)}
        13:{1,3,6,7}:{(4,1),(24,1),(27,1),(55,1),(63,1),(94,1),(157,1)}
        14:{3,4,6}:{(5,1),(20,1),(22,1),(28,1),(29,1),(49,1),(58,1)}
        15:{2,4,7}:{(5,1),(6,1),(29,1),(104,1)}
        16:{2,3,6,7}:{(6,1),(24,1),(30,1),(58,1),(63,1),(95,1),(158,1)}
        17:{1,2,4,5}:{(7,1),(8,1),(9,1),(31,1),(33,1),(36,1),(69,1),(70,1),(72,1),(139,1),(159,1)}
        18:{3,5}:{(7,1),(11,1),(33,1)}
        19:{1,4,5,7}:{(7,1),(12,1),(34,1),(35,1),(45,1),(86,1)}
        20:{3,5}:{(8,1),(14,1),(36,1)}
        21:{2,4,5,7}:{(8,1),(15,1),(37,1),(38,1),(48,1),(88,1)}
        22:{3,6}:{(9,1),(31,1),(41,1),(107,1)}
        23:{1,2,4,7}:{(9,1),(10,1),(12,1),(15,1),(41,1),(43,1),(46,1),(81,1)}
        24:{1,2,6,7}:{(10,1),(13,1),(16,1),(77,1),(79,1),(112,1),(165,1)}
        25:{2,4,6}:{(11,1),(33,1),(40,1),(43,1),(70,1),(77,1)}
        26:{3,4,7}:{(11,1),(12,1),(34,1),(41,1),(43,1)}
        27:{1,4,6,7}:{(12,1),(13,1),(35,1),(44,1),(45,1),(109,1),(145,1),(149,1)}
        28:{1,4,6}:{(14,1),(36,1),(39,1),(46,1),(69,1),(79,1)}
        29:{3,4,7}:{(14,1),(15,1),(37,1),(41,1),(46,1)}
        30:{2,4,6,7}:{(15,1),(16,1),(38,1),(47,1),(48,1),(110,1),(146,1),(148,1)}
        31:{3,5}:{(17,1),(22,1),(49,1)}
        32:{1,2,4,5,7}:{(17,1),(19,1),(21,1),(23,1),(52,1),(53,1),(54,1),(57,1),(64,1),(90,1),(91,1),(93,1),(104,1),(105,1),(106,1),(125,1),(126,1),(127,1),(133,1),(136,1),(137,1),(151,1)}
        33:{2,5}:{(18,1),(25,1)}
        34:{3,5,7}:{(18,1),(19,1),(26,1),(54,1),(55,1)}
        35:{1,4,6}:{(19,1),(55,1),(56,1),(98,1)}
        36:{1,5}:{(20,1),(28,1)}
        37:{3,5,7}:{(20,1),(21,1),(29,1),(57,1),(58,1)}
        38:{2,4,6}:{(21,1),(58,1),(59,1),(100,1)}
        39:{1,3,6}:{(22,1),(28,1),(50,1),(60,1),(61,1)}
        40:{2,3,6}:{(22,1),(25,1),(51,1),(60,1),(62,1)}
        41:{3,7}:{(22,1),(23,1)}
        42:{1,2,4,6,7}:{(23,1),(24,1),(27,1),(30,1),(53,1),(63,1),(64,1),(65,1),(67,1),(101,1),(104,1),(124,1),(133,1)}
        43:{2,4,7}:{(25,1),(26,1),(54,1),(62,1)}
        44:{3,4,6,7}:{(26,1),(27,1),(55,1),(63,1),(65,1),(66,1),(92,1),(98,1),(104,1),(131,1),(135,1)}
        45:{1,5,7}:{(27,1),(56,1),(66,1),(125,1)}
        46:{1,4,7}:{(28,1),(29,1),(57,1),(61,1)}
        47:{3,4,6,7}:{(29,1),(30,1),(58,1),(63,1),(67,1),(68,1),(92,1),(100,1),(104,1),(132,1),(134,1)}
        48:{2,5,7}:{(30,1),(59,1),(68,1),(126,1)}
        49:{3,4}:{(31,1),(69,1),(70,1),(107,1),(159,1)}
        50:{1,3,5}:{(31,1),(36,1),(39,1),(69,1),(72,1),(107,1)}
        51:{2,3,5}:{(31,1),(33,1),(40,1),(70,1),(72,1),(107,1)}
        52:{3,5,7}:{(31,1),(32,1),(41,1),(71,1),(75,1),(111,1),(147,1),(160,1)}
        53:{1,2,4,6}:{(32,1),(35,1),(38,1),(75,1),(76,1),(77,1),(79,1),(109,1),(110,1),(112,1),(115,1),(116,1),(117,1),(145,1),(146,1)}
        54:{2,5,7}:{(33,1),(34,1),(43,1),(77,1)}
        55:{3,6}:{(34,1),(35,1),(77,1)}
        56:{1,5,6}:{(35,1),(45,1),(78,1),(145,1)}
        57:{1,5,7}:{(36,1),(37,1),(46,1),(79,1)}
        58:{3,6}:{(37,1),(38,1),(79,1)}
        59:{2,5,6}:{(38,1),(48,1),(80,1),(146,1)}
        60:{1,2,6}:{(39,1),(40,1),(72,1),(81,1)}
        61:{1,3,7}:{(39,1),(41,1),(46,1),(81,1)}
        62:{2,3,7}:{(40,1),(41,1),(43,1),(81,1)}
        63:{3,6,7}:{(41,1),(42,1),(75,1),(84,1),(138,1),(147,1)}
        64:{1,2,5,7}:{(42,1),(45,1),(48,1),(76,1),(84,1),(85,1),(87,1),(139,1)}
        65:{2,4,6,7}:{(43,1),(44,1),(77,1),(83,1),(85,1),(110,1),(116,1),(120,1)}
        66:{3,5,7}:{(44,1),(45,1),(78,1),(85,1),(86,1),(111,1)}
        67:{1,4,6,7}:{(46,1),(47,1),(79,1),(82,1),(87,1),(109,1),(117,1),(119,1)}
        68:{3,5,7}:{(47,1),(48,1),(80,1),(87,1),(88,1),(111,1)}
        69:{1,4}:{(49,1),(50,1)}
        70:{2,4}:{(49,1),(51,1)}
        71:{3,4,7}:{(49,1),(52,1),(90,1),(91,1),(92,1),(104,1),(123,1),(166,1)}
        72:{1,2,5}:{(50,1),(51,1),(60,1),(89,1)}
        73:{1,3,5,7}:{(50,1),(52,1),(57,1),(61,1),(90,1),(93,1),(94,1),(123,1),(125,1),(136,1),(150,1),(157,1),(167,1)}
        74:{2,3,5,7}:{(51,1),(52,1),(54,1),(62,1),(91,1),(93,1),(95,1),(123,1),(126,1),(137,1),(150,1),(158,1),(168,1)}
        75:{3,6}:{(52,1),(53,1)}
        76:{1,2,5,6}:{(53,1),(56,1),(59,1),(64,1),(96,1),(97,1),(99,1),(125,1),(126,1)}
        77:{2,6}:{(54,1),(55,1)}
        78:{3,5,6}:{(55,1),(56,1),(66,1),(97,1),(98,1),(131,1)}
        79:{1,6}:{(57,1),(58,1)}
        80:{3,5,6}:{(58,1),(59,1),(68,1),(99,1),(100,1),(132,1)}
        81:{1,2,7}:{(60,1),(61,1),(62,1)}
        82:{1,3,6,7}:{(61,1),(63,1),(67,1),(94,1),(101,1),(102,1),(132,1)}
        83:{2,3,6,7}:{(62,1),(63,1),(65,1),(95,1),(101,1),(103,1),(131,1)}
        84:{3,5,7}:{(63,1),(64,1),(96,1),(104,1),(150,1)}
        85:{2,5,7}:{(65,1),(66,1),(97,1),(126,1)}
        86:{4,5,7}:{(66,1),(98,1),(104,1),(127,1)}
        87:{1,5,7}:{(67,1),(68,1),(99,1),(125,1)}
        88:{4,5,7}:{(68,1),(100,1),(104,1),(127,1)}
        89:{1,2,4}:{(69,1),(70,1),(72,1),(107,1)}
        90:{1,4,7}:{(69,1),(71,1),(73,1),(109,1),(159,1),(170,1)}
        91:{2,4,7}:{(70,1),(71,1),(74,1),(110,1),(159,1),(171,1)}
        92:{3,4,6}:{(71,1),(75,1),(109,1),(110,1),(111,1),(115,1),(138,1),(159,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(81,1),(108,1),(112,1),(139,1),(165,1),(172,1)}
        94:{1,3,6}:{(73,1),(75,1),(79,1),(109,1),(112,1),(138,1),(145,1)}
        95:{2,3,6}:{(74,1),(75,1),(77,1),(110,1),(112,1),(138,1),(146,1)}
        96:{3,5,6}:{(75,1),(76,1),(84,1),(111,1),(115,1)}
        97:{2,5,6}:{(77,1),(78,1),(85,1),(116,1)}
        98:{4,6}:{(78,1),(86,1)}
        99:{1,5,6}:{(79,1),(80,1),(87,1),(117,1)}
       100:{4,6}:{(80,1),(88,1)}
       101:{1,2,6,7}:{(81,1),(82,1),(83,1),(112,1),(118,1),(145,1),(146,1)}
       102:{1,3,5,7}:{(82,1),(84,1),(87,1),(113,1),(118,1),(119,1),(122,1),(147,1)}
       103:{2,3,5,7}:{(83,1),(84,1),(85,1),(114,1),(118,1),(120,1),(121,1),(147,1)}
       104:{4,7}:{(84,1),(115,1),(159,1)}
       105:{2,4,5,7}:{(85,1),(86,1),(116,1),(120,1),(121,1),(141,1)}
       106:{1,4,5,7}:{(87,1),(88,1),(117,1),(119,1),(122,1),(140,1)}
       107:{3}:{(89,1)}
       108:{1,2,4,7}:{(89,1),(90,1),(91,1),(93,1),(123,1),(124,1),(173,1)}
       109:{1,4,6}:{(90,1),(92,1),(94,1),(125,1)}
       110:{2,4,6}:{(91,1),(92,1),(95,1),(126,1)}
       111:{3,5}:{(92,1),(125,1),(126,1),(127,1)}
       112:{1,2,6}:{(93,1),(94,1),(95,1)}
       113:{1,3,5,6}:{(94,1),(96,1),(99,1),(102,1),(125,1),(128,1),(129,1),(132,1),(150,1),(152,1),(154,1),(167,1)}
       114:{2,3,5,6}:{(95,1),(96,1),(97,1),(103,1),(126,1),(128,1),(130,1),(131,1),(150,1),(153,1),(154,1),(168,1)}
       115:{4,6}:{(96,1),(104,1),(127,1)}
       116:{2,4,6}:{(97,1),(98,1),(105,1),(131,1)}
       117:{1,4,6}:{(99,1),(100,1),(106,1),(132,1)}
       118:{1,2,5,7}:{(101,1),(102,1),(103,1),(128,1),(133,1),(136,1),(137,1)}
       119:{1,4,7}:{(102,1),(104,1),(129,1),(134,1)}
       120:{2,4,7}:{(103,1),(104,1),(130,1),(135,1)}
       121:{3,5,7}:{(105,1),(131,1),(135,1),(136,1),(153,1)}
       122:{3,5,7}:{(106,1),(132,1),(134,1),(137,1),(152,1)}
       123:{3,7}:{(107,1),(108,1),(138,1),(174,1)}
       124:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(138,1),(139,1),(159,1)}
       125:{1,5}:{(109,1),(111,1)}
       126:{2,5}:{(110,1),(111,1)}
       127:{4,5}:{(111,1),(115,1),(159,1)}
       128:{1,2,5,6}:{(112,1),(113,1),(114,1),(118,1),(139,1),(142,1),(145,1),(146,1),(161,1),(162,1),(172,1)}
       129:{1,4,6}:{(113,1),(115,1),(119,1),(140,1),(143,1),(159,1),(170,1)}
       130:{2,4,6}:{(114,1),(115,1),(120,1),(141,1),(144,1),(159,1),(171,1)}
       131:{3,6}:{(116,1),(121,1),(145,1)}
       132:{3,6}:{(117,1),(122,1),(146,1)}
       133:{1,2,4,7}:{(118,1),(119,1),(120,1),(142,1),(147,1),(148,1),(149,1),(165,1)}
       134:{3,4,7}:{(119,1),(122,1),(143,1),(147,1),(148,1)}
       135:{3,4,7}:{(120,1),(121,1),(144,1),(147,1),(149,1)}
       136:{1,5,7}:{(121,1),(145,1),(149,1),(162,1)}
       137:{2,5,7}:{(122,1),(146,1),(148,1),(161,1)}
       138:{3,6}:{(123,1),(124,1),(150,1)}
       139:{1,2,5}:{(124,1),(125,1),(126,1),(150,1)}
       140:{1,4,5}:{(125,1),(127,1),(129,1),(152,1)}
       141:{2,4,5}:{(126,1),(127,1),(130,1),(153,1)}
       142:{1,2,4,6}:{(128,1),(129,1),(130,1),(133,1),(151,1),(154,1),(155,1),(156,1),(169,1),(173,1)}
       143:{3,4,6}:{(129,1),(132,1),(134,1),(152,1),(154,1),(155,1),(166,1)}
       144:{3,4,6}:{(130,1),(131,1),(135,1),(153,1),(154,1),(156,1),(166,1)}
       145:{1,6}:{(131,1),(136,1)}
       146:{2,6}:{(132,1),(137,1)}
       147:{3,7}:{(133,1),(154,1)}
       148:{2,4,7}:{(134,1),(137,1),(155,1),(158,1)}
       149:{1,4,7}:{(135,1),(136,1),(156,1),(157,1)}
       150:{3,5}:{(138,1),(139,1),(159,1)}
       151:{1,2,4,5}:{(139,1),(140,1),(141,1),(142,1),(159,1),(160,1),(161,1),(162,1),(170,1),(171,1),(172,1)}
       152:{3,5}:{(140,1),(143,1),(161,1)}
       153:{3,5}:{(141,1),(144,1),(162,1)}
       154:{3,6}:{(142,1),(147,1),(160,1),(174,1)}
       155:{2,4,6}:{(143,1),(146,1),(148,1),(161,1),(164,1),(171,1)}
       156:{1,4,6}:{(144,1),(145,1),(149,1),(162,1),(163,1),(170,1)}
       157:{1,3,7}:{(147,1),(149,1),(163,1),(165,1)}
       158:{2,3,7}:{(147,1),(148,1),(164,1),(165,1)}
       159:{4}:{(150,1)}
       160:{3,5}:{(151,1),(154,1),(166,1)}
       161:{2,5}:{(152,1),(155,1)}
       162:{1,5}:{(153,1),(156,1)}
       163:{1,3,6}:{(154,1),(156,1),(157,1),(167,1),(169,1)}
       164:{2,3,6}:{(154,1),(155,1),(158,1),(168,1),(169,1)}
       165:{1,2,7}:{(157,1),(158,1),(169,1)}
       166:{3,4}:{(159,1),(160,1),(170,1),(171,1),(174,1)}
       167:{1,3,5}:{(160,1),(162,1),(163,1),(170,1),(172,1),(174,1)}
       168:{2,3,5}:{(160,1),(161,1),(164,1),(171,1),(172,1),(174,1)}
       169:{1,2,6}:{(163,1),(164,1),(165,1),(172,1)}
       170:{1,4}:{(166,1),(167,1)}
       171:{2,4}:{(166,1),(168,1)}
       172:{1,2,5}:{(167,1),(168,1),(169,1),(173,1)}
       173:{1,2,4}:{(170,1),(171,1),(172,1),(174,1)}
       174:{3}:{(173,1)}

1175 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(14,1),(18,1),(34,1),(38,1),(72,1),(73,1),(74,1),(102,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(62,1),(63,1),(87,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(27,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(57,1),(88,1),(101,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(15,1),(43,1),(95,1)}
         5:{3,4,6}:{(3,1),(10,1),(12,1),(13,1),(14,1),(47,1),(76,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(44,1),(45,1),(48,1),(74,1)}
         7:{3,5,7}:{(2,1),(3,1),(12,1),(15,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(16,1),(18,1),(32,1),(47,1),(66,1),(71,1),(72,1),(93,1),(95,1),(103,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(33,1),(47,1),(68,1),(69,1),(73,1),(91,1),(95,1),(102,1)}
        10:{3,4,5}:{(5,1),(20,1),(21,1),(57,1),(101,1)}
        11:{4,6,7}:{(4,1),(24,1),(100,1)}
        12:{3,4,7}:{(5,1),(7,1),(26,1),(27,1),(65,1)}
        13:{1,4,6}:{(5,1),(8,1),(20,1),(26,1),(86,1),(100,1)}
        14:{2,4,6}:{(5,1),(9,1),(21,1),(27,1),(83,1),(100,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(26,1),(29,1),(31,1),(62,1),(65,1),(90,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(27,1),(30,1),(31,1),(63,1),(65,1),(90,1)}
        18:{1,2,5,6}:{(8,1),(9,1),(28,1),(31,1),(50,1),(52,1),(81,1),(84,1)}
        19:{3,4,5,7}:{(10,1),(12,1),(35,1),(36,1),(37,1),(43,1),(75,1),(97,1),(104,1)}
        20:{1,4,5}:{(10,1),(13,1),(32,1),(103,1),(104,1)}
        21:{2,4,5}:{(10,1),(14,1),(33,1),(102,1),(104,1)}
        22:{1,3,4,6}:{(13,1),(32,1),(39,1),(40,1),(47,1),(66,1),(76,1),(96,1)}
        23:{2,3,4,6}:{(14,1),(33,1),(41,1),(42,1),(47,1),(69,1),(76,1),(96,1)}
        24:{4,5,7}:{(11,1),(34,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(15,1),(35,1),(43,1),(44,1),(45,1),(80,1),(96,1),(97,1)}
        26:{1,4,7}:{(12,1),(13,1),(16,1),(97,1)}
        27:{2,4,7}:{(12,1),(14,1),(17,1),(97,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(18,1),(38,1),(46,1),(47,1)}
        29:{1,3,6,7}:{(15,1),(16,1),(44,1),(48,1),(66,1),(80,1),(93,1)}
        30:{2,3,6,7}:{(15,1),(17,1),(45,1),(48,1),(69,1),(80,1),(91,1)}
        31:{1,2,5,7}:{(16,1),(17,1),(18,1),(46,1),(48,1)}
        32:{1,3,5}:{(20,1),(22,1),(50,1),(57,1),(101,1)}
        33:{2,3,5}:{(21,1),(23,1),(52,1),(57,1),(101,1)}
        34:{4,5,6}:{(24,1),(53,1),(100,1)}
        35:{3,4,6}:{(19,1),(53,1),(54,1),(55,1),(88,1),(100,1)}
        36:{1,4,5,7}:{(19,1),(20,1),(26,1),(49,1),(54,1),(62,1)}
        37:{2,4,5,7}:{(19,1),(21,1),(27,1),(51,1),(55,1),(63,1)}
        38:{1,2,4,5}:{(20,1),(21,1),(28,1),(50,1),(52,1),(57,1),(83,1),(86,1)}
        39:{1,3,4,7}:{(22,1),(26,1),(49,1),(58,1),(65,1),(89,1)}
        40:{1,2,4,6}:{(22,1),(50,1),(58,1),(59,1),(81,1),(83,1),(98,1)}
        41:{2,3,4,7}:{(23,1),(27,1),(51,1),(60,1),(65,1),(89,1)}
        42:{1,2,4,6}:{(23,1),(52,1),(60,1),(61,1),(84,1),(86,1),(99,1)}
        43:{3,5,7}:{(24,1),(25,1),(53,1),(62,1),(63,1),(101,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(54,1),(62,1),(99,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(55,1),(63,1),(98,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(28,1),(31,1),(65,1)}
        47:{3,6}:{(28,1),(57,1),(65,1)}
        48:{1,2,6,7}:{(29,1),(30,1),(31,1),(81,1),(84,1)}
        49:{1,3,5,7}:{(32,1),(36,1),(39,1),(66,1),(67,1),(75,1)}
        50:{1,2,5}:{(32,1),(40,1),(68,1),(102,1)}
        51:{2,3,5,7}:{(33,1),(37,1),(41,1),(69,1),(70,1),(75,1)}
        52:{1,2,5}:{(33,1),(42,1),(71,1),(103,1)}
        53:{3,5,6}:{(34,1),(35,1),(43,1),(72,1),(73,1)}
        54:{1,4,6}:{(35,1),(36,1),(66,1),(72,1)}
        55:{2,4,6}:{(35,1),(37,1),(69,1),(73,1)}
        56:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(46,1),(67,1),(70,1),(74,1),(75,1),(79,1),(92,1),(94,1),(97,1),(102,1),(103,1),(104,1)}
        57:{3,5}:{(38,1),(47,1),(76,1)}
        58:{1,2,4,7}:{(39,1),(40,1),(67,1),(77,1),(92,1)}
        59:{2,3,6}:{(40,1),(47,1),(68,1),(77,1)}
        60:{1,2,4,7}:{(41,1),(42,1),(70,1),(78,1),(94,1)}
        61:{1,3,6}:{(42,1),(47,1),(71,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(72,1),(103,1)}
        63:{2,5,7}:{(43,1),(45,1),(73,1),(102,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(48,1),(74,1),(79,1),(80,1),(97,1)}
        65:{3,7}:{(46,1),(47,1)}
        66:{1,3,6}:{(49,1),(54,1),(81,1),(88,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(58,1),(81,1),(82,1)}
        68:{2,3,5}:{(50,1),(57,1),(59,1),(83,1)}
        69:{2,3,6}:{(51,1),(55,1),(84,1),(88,1)}
        70:{1,2,5,7}:{(51,1),(52,1),(60,1),(84,1),(85,1)}
        71:{1,3,5}:{(52,1),(57,1),(61,1),(86,1)}
        72:{1,5,6}:{(53,1),(54,1),(62,1)}
        73:{2,5,6}:{(53,1),(55,1),(63,1)}
        74:{1,2,4,6}:{(54,1),(55,1),(56,1),(81,1),(84,1),(87,1),(88,1),(98,1),(99,1),(100,1)}
        75:{3,5,7}:{(56,1),(57,1),(65,1),(88,1),(89,1),(101,1)}
        76:{3,4}:{(57,1),(83,1),(86,1)}
        77:{2,3,7}:{(58,1),(59,1),(65,1)}
        78:{1,3,7}:{(60,1),(61,1),(65,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(87,1),(90,1)}
        80:{3,6,7}:{(64,1),(65,1),(88,1),(90,1)}
        81:{1,2,6}:{(66,1),(67,1),(91,1)}
        82:{2,3,5,7}:{(67,1),(68,1),(75,1),(77,1),(91,1),(92,1),(102,1)}
        83:{2,4}:{(68,1),(76,1)}
        84:{1,2,6}:{(69,1),(70,1),(93,1)}
        85:{1,3,5,7}:{(70,1),(71,1),(75,1),(78,1),(93,1),(94,1),(103,1)}
        86:{1,4}:{(71,1),(76,1)}
        87:{1,2,5,6}:{(72,1),(73,1),(74,1),(79,1),(95,1),(102,1),(103,1)}
        88:{3,6}:{(74,1),(75,1)}
        89:{3,4,7}:{(75,1),(76,1),(92,1),(94,1),(96,1),(97,1)}
        90:{3,5,7}:{(79,1),(80,1),(95,1),(97,1)}
        91:{2,3,6}:{(81,1),(82,1),(88,1),(98,1)}
        92:{2,4,7}:{(82,1),(83,1),(89,1),(98,1)}
        93:{1,3,6}:{(84,1),(85,1),(88,1),(99,1)}
        94:{1,4,7}:{(85,1),(86,1),(89,1),(99,1)}
        95:{3,5,6}:{(87,1),(88,1),(90,1),(100,1),(101,1)}
        96:{3,4,6}:{(88,1),(89,1),(98,1),(99,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(100,1)}
        98:{2,4,6}:{(91,1),(92,1),(96,1),(102,1)}
        99:{1,4,6}:{(93,1),(94,1),(96,1),(103,1)}
       100:{4,6}:{(95,1),(97,1),(104,1)}
       101:{3,5}:{(96,1),(102,1),(103,1),(104,1)}
       102:{2,5}:{(98,1),(101,1)}
       103:{1,5}:{(99,1),(101,1)}
       104:{4,5}:{(100,1),(101,1)}

1176 :   0:{1,2,5,6,7}:{(1,1),(2,1),(30,1),(31,1),(59,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(17,1),(75,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(19,1),(24,1),(74,1)}
         3:{1,2,4,5,6}:{(5,1),(7,1),(16,1),(25,1),(26,1),(27,1),(42,1),(43,1),(50,1),(74,1),(97,1),(103,1),(104,1)}
         4:{4,6,7}:{(1,1),(8,1),(88,1)}
         5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(10,1),(30,1),(31,1),(35,1),(36,1),(37,1)}
         6:{3,6,7}:{(2,1),(10,1),(87,1)}
         7:{3,5,6}:{(3,1),(10,1),(13,1),(66,1),(87,1),(102,1)}
         8:{4,5,7}:{(4,1),(16,1),(17,1),(79,1),(97,1)}
         9:{3,4,6,7}:{(4,1),(6,1),(17,1),(18,1),(19,1),(21,1),(41,1),(47,1),(79,1),(96,1)}
        10:{3,5,7}:{(5,1),(6,1),(7,1),(21,1)}
        11:{1,3,6,7}:{(6,1),(18,1),(22,1),(24,1),(47,1),(72,1),(95,1)}
        12:{2,3,6,7}:{(6,1),(19,1),(23,1),(24,1),(47,1),(73,1),(94,1)}
        13:{3,4,6}:{(7,1),(20,1),(21,1),(25,1),(26,1),(56,1),(82,1)}
        14:{1,3,5,6}:{(7,1),(22,1),(25,1),(27,1),(42,1),(48,1),(56,1),(72,1),(75,1),(81,1),(95,1),(104,1)}
        15:{2,3,5,6}:{(7,1),(23,1),(26,1),(27,1),(43,1),(49,1),(56,1),(73,1),(75,1),(80,1),(94,1),(103,1)}
        16:{4,5,6}:{(8,1),(28,1),(88,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(30,1),(31,1),(102,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(30,1),(35,1),(57,1),(101,1)}
        19:{2,4,6,7}:{(9,1),(12,1),(31,1),(36,1),(58,1),(100,1)}
        20:{3,4,5}:{(13,1),(33,1),(34,1),(66,1),(102,1)}
        21:{3,4,7}:{(10,1),(13,1),(35,1),(36,1),(69,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(14,1),(30,1),(35,1),(37,1),(63,1),(69,1)}
        23:{2,3,5,7}:{(10,1),(12,1),(15,1),(31,1),(36,1),(37,1),(63,1),(69,1)}
        24:{1,2,6,7}:{(11,1),(12,1),(37,1),(85,1),(86,1)}
        25:{1,4,6}:{(13,1),(14,1),(33,1),(35,1),(88,1),(93,1)}
        26:{2,4,6}:{(13,1),(15,1),(34,1),(36,1),(88,1),(92,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(37,1),(40,1),(64,1),(65,1),(85,1),(86,1)}
        28:{3,5,6}:{(16,1),(17,1),(41,1),(42,1),(43,1)}
        29:{3,4,5,7}:{(17,1),(20,1),(21,1),(41,1),(44,1),(45,1),(78,1),(79,1),(97,1)}
        30:{1,5,7}:{(17,1),(18,1),(42,1),(104,1)}
        31:{2,5,7}:{(17,1),(19,1),(43,1),(103,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(24,1),(46,1),(47,1),(53,1),(74,1),(79,1)}
        33:{1,4,5}:{(20,1),(25,1),(48,1),(97,1),(104,1)}
        34:{2,4,5}:{(20,1),(26,1),(49,1),(97,1),(103,1)}
        35:{1,4,7}:{(21,1),(22,1),(25,1),(79,1)}
        36:{2,4,7}:{(21,1),(23,1),(26,1),(79,1)}
        37:{1,2,5,7}:{(22,1),(23,1),(24,1),(27,1),(53,1)}
        38:{1,3,4,6}:{(25,1),(48,1),(51,1),(54,1),(56,1),(72,1),(82,1),(96,1)}
        39:{2,3,4,6}:{(26,1),(49,1),(52,1),(55,1),(56,1),(73,1),(82,1),(96,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(50,1),(53,1),(56,1)}
        41:{3,4,6}:{(28,1),(29,1),(57,1),(58,1),(87,1),(88,1)}
        42:{1,5,6}:{(28,1),(30,1),(57,1)}
        43:{2,5,6}:{(28,1),(31,1),(58,1)}
        44:{1,4,5,7}:{(29,1),(30,1),(33,1),(35,1),(57,1),(60,1)}
        45:{2,4,5,7}:{(29,1),(31,1),(34,1),(36,1),(58,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(32,1),(59,1),(63,1)}
        47:{3,6,7}:{(32,1),(63,1),(69,1),(87,1)}
        48:{1,3,5}:{(33,1),(38,1),(64,1),(66,1),(102,1)}
        49:{2,3,5}:{(34,1),(39,1),(65,1),(66,1),(102,1)}
        50:{1,2,4,5}:{(33,1),(34,1),(40,1),(64,1),(65,1),(66,1),(92,1),(93,1)}
        51:{1,3,4,7}:{(35,1),(38,1),(60,1),(67,1),(69,1),(91,1)}
        52:{2,3,4,7}:{(36,1),(39,1),(61,1),(68,1),(69,1),(91,1)}
        53:{1,2,4,7}:{(35,1),(36,1),(37,1),(40,1),(69,1)}
        54:{1,2,4,6}:{(38,1),(64,1),(67,1),(70,1),(85,1),(92,1),(100,1)}
        55:{1,2,4,6}:{(39,1),(65,1),(68,1),(71,1),(86,1),(93,1),(101,1)}
        56:{3,6}:{(40,1),(66,1),(69,1)}
        57:{1,4,6}:{(41,1),(42,1),(44,1),(72,1)}
        58:{2,4,6}:{(41,1),(43,1),(45,1),(73,1)}
        59:{1,2,5,6}:{(42,1),(43,1),(46,1),(74,1),(75,1),(103,1),(104,1)}
        60:{1,3,5,7}:{(44,1),(48,1),(51,1),(72,1),(76,1),(78,1)}
        61:{2,3,5,7}:{(45,1),(49,1),(52,1),(73,1),(77,1),(78,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(53,1),(74,1),(76,1),(77,1),(78,1),(79,1),(97,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5,7}:{(46,1),(47,1),(75,1),(79,1)}
        64:{1,2,5}:{(48,1),(54,1),(80,1),(103,1)}
        65:{1,2,5}:{(49,1),(55,1),(81,1),(104,1)}
        66:{3,5}:{(50,1),(56,1),(82,1)}
        67:{1,2,4,7}:{(51,1),(54,1),(76,1),(83,1),(98,1)}
        68:{1,2,4,7}:{(52,1),(55,1),(77,1),(84,1),(99,1)}
        69:{3,7}:{(53,1),(56,1)}
        70:{2,3,6}:{(54,1),(56,1),(80,1),(83,1)}
        71:{1,3,6}:{(55,1),(56,1),(81,1),(84,1)}
        72:{1,3,6}:{(57,1),(60,1),(85,1),(87,1)}
        73:{2,3,6}:{(58,1),(61,1),(86,1),(87,1)}
        74:{1,2,4,6}:{(57,1),(58,1),(59,1),(62,1),(85,1),(86,1),(87,1),(88,1),(100,1),(101,1)}
        75:{3,5,6}:{(59,1),(63,1),(87,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(60,1),(64,1),(67,1),(85,1),(89,1)}
        77:{1,2,5,7}:{(61,1),(65,1),(68,1),(86,1),(90,1)}
        78:{3,5,7}:{(62,1),(66,1),(69,1),(87,1),(91,1),(102,1)}
        79:{4,7}:{(63,1),(88,1)}
        80:{2,3,5}:{(64,1),(66,1),(70,1),(92,1)}
        81:{1,3,5}:{(65,1),(66,1),(71,1),(93,1)}
        82:{3,4}:{(66,1),(92,1),(93,1)}
        83:{2,3,7}:{(67,1),(69,1),(70,1)}
        84:{1,3,7}:{(68,1),(69,1),(71,1)}
        85:{1,2,6}:{(72,1),(76,1),(94,1)}
        86:{1,2,6}:{(73,1),(77,1),(95,1)}
        87:{3,6}:{(74,1),(78,1)}
        88:{4,6}:{(75,1),(79,1),(97,1)}
        89:{2,3,5,7}:{(76,1),(78,1),(80,1),(83,1),(94,1),(98,1),(103,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(81,1),(84,1),(95,1),(99,1),(104,1)}
        91:{3,4,7}:{(78,1),(79,1),(82,1),(96,1),(98,1),(99,1)}
        92:{2,4}:{(80,1),(82,1)}
        93:{1,4}:{(81,1),(82,1)}
        94:{2,3,6}:{(85,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(86,1),(87,1),(90,1),(101,1)}
        96:{3,4,6}:{(87,1),(88,1),(91,1),(100,1),(101,1),(102,1)}
        97:{4,5}:{(88,1),(102,1)}
        98:{2,4,7}:{(89,1),(91,1),(92,1),(100,1)}
        99:{1,4,7}:{(90,1),(91,1),(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(96,1),(98,1),(103,1)}
       101:{1,4,6}:{(95,1),(96,1),(99,1),(104,1)}
       102:{3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{1,5}:{(101,1),(102,1)}

1177 :   0:{1,2,4,5,6}:{(1,1),(2,1),(9,1),(10,1),(12,1),(36,1),(75,1),(76,1),(77,1),(78,1),(102,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(55,1),(88,1),(100,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(24,1),(26,1),(62,1),(63,1),(64,1)}
         3:{3,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(40,1),(73,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(12,1),(13,1),(33,1),(40,1),(65,1),(71,1),(76,1),(92,1),(96,1),(102,1)}
         5:{2,3,5,6}:{(1,1),(10,1),(12,1),(14,1),(30,1),(40,1),(67,1),(69,1),(77,1),(94,1),(96,1),(103,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(15,1)}
         7:{1,2,4,6,7}:{(2,1),(15,1),(16,1),(42,1),(43,1),(45,1),(46,1),(75,1)}
         8:{3,4,5}:{(3,1),(19,1),(20,1),(55,1),(100,1)}
         9:{1,4,6}:{(3,1),(4,1),(19,1),(23,1),(81,1),(101,1)}
        10:{2,4,6}:{(3,1),(5,1),(20,1),(24,1),(84,1),(101,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(24,1),(60,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(22,1),(26,1),(47,1),(51,1),(83,1),(86,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(23,1),(26,1),(27,1),(60,1),(62,1),(90,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(24,1),(26,1),(28,1),(60,1),(63,1),(90,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,2,5,6,7}:{(7,1),(29,1),(62,1),(63,1),(89,1)}
        17:{2,3,4,6}:{(10,1),(30,1),(31,1),(32,1),(40,1),(67,1),(73,1),(95,1)}
        18:{1,3,4,6}:{(9,1),(33,1),(34,1),(35,1),(40,1),(71,1),(73,1),(95,1)}
        19:{1,4,5}:{(8,1),(9,1),(33,1),(102,1),(104,1)}
        20:{2,4,5}:{(8,1),(10,1),(30,1),(103,1),(104,1)}
        21:{3,4,5,7}:{(8,1),(11,1),(37,1),(38,1),(39,1),(44,1),(74,1),(97,1),(104,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(12,1),(36,1),(40,1),(41,1)}
        23:{1,4,7}:{(9,1),(11,1),(13,1),(97,1)}
        24:{2,4,7}:{(10,1),(11,1),(14,1),(97,1)}
        25:{3,4,6,7}:{(11,1),(15,1),(39,1),(42,1),(43,1),(44,1),(46,1),(79,1),(95,1),(97,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(14,1),(41,1),(45,1)}
        27:{1,3,6,7}:{(13,1),(15,1),(42,1),(45,1),(71,1),(79,1),(92,1)}
        28:{2,3,6,7}:{(14,1),(15,1),(43,1),(45,1),(67,1),(79,1),(94,1)}
        29:{3,5,6,7}:{(15,1),(16,1),(44,1),(46,1),(96,1)}
        30:{2,3,5}:{(17,1),(20,1),(47,1),(55,1),(100,1)}
        31:{1,2,4,6}:{(17,1),(47,1),(49,1),(50,1),(81,1),(83,1),(98,1)}
        32:{2,3,4,7}:{(17,1),(24,1),(48,1),(50,1),(60,1),(87,1)}
        33:{1,3,5}:{(18,1),(19,1),(51,1),(55,1),(100,1)}
        34:{1,2,4,6}:{(18,1),(51,1),(53,1),(54,1),(84,1),(86,1),(99,1)}
        35:{1,3,4,7}:{(18,1),(23,1),(52,1),(54,1),(60,1),(87,1)}
        36:{1,2,4,5}:{(19,1),(20,1),(22,1),(47,1),(51,1),(55,1),(81,1),(84,1)}
        37:{1,4,5,7}:{(19,1),(21,1),(23,1),(52,1),(57,1),(62,1)}
        38:{2,4,5,7}:{(20,1),(21,1),(24,1),(48,1),(58,1),(63,1)}
        39:{3,4,6}:{(21,1),(57,1),(58,1),(59,1),(88,1),(101,1)}
        40:{3,6}:{(22,1),(55,1),(60,1)}
        41:{1,2,4,7}:{(22,1),(23,1),(24,1),(26,1),(60,1)}
        42:{1,4,6,7}:{(23,1),(25,1),(27,1),(57,1),(62,1),(98,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(28,1),(58,1),(63,1),(99,1)}
        44:{3,5,7}:{(25,1),(59,1),(62,1),(63,1),(64,1),(100,1)}
        45:{1,2,6,7}:{(26,1),(27,1),(28,1),(83,1),(86,1)}
        46:{4,6,7}:{(29,1),(64,1),(101,1)}
        47:{1,2,5}:{(30,1),(31,1),(65,1),(102,1)}
        48:{2,3,5,7}:{(30,1),(32,1),(38,1),(66,1),(67,1),(74,1)}
        49:{1,3,6}:{(31,1),(40,1),(65,1),(68,1)}
        50:{1,2,4,7}:{(31,1),(32,1),(66,1),(68,1),(91,1)}
        51:{1,2,5}:{(33,1),(34,1),(69,1),(103,1)}
        52:{1,3,5,7}:{(33,1),(35,1),(37,1),(70,1),(71,1),(74,1)}
        53:{2,3,6}:{(34,1),(40,1),(69,1),(72,1)}
        54:{1,2,4,7}:{(34,1),(35,1),(70,1),(72,1),(93,1)}
        55:{3,5}:{(36,1),(40,1),(73,1)}
        56:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(41,1),(66,1),(70,1),(74,1),(75,1),(80,1),(91,1),(93,1),(97,1),(102,1),(103,1),(104,1)}
        57:{1,4,6}:{(37,1),(39,1),(71,1),(76,1)}
        58:{2,4,6}:{(38,1),(39,1),(67,1),(77,1)}
        59:{3,5,6}:{(39,1),(44,1),(76,1),(77,1),(78,1)}
        60:{3,7}:{(40,1),(41,1)}
        61:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(45,1),(75,1),(79,1),(80,1),(97,1)}
        62:{1,5,7}:{(42,1),(44,1),(76,1),(102,1)}
        63:{2,5,7}:{(43,1),(44,1),(77,1),(103,1)}
        64:{4,5,7}:{(44,1),(46,1),(78,1),(97,1),(104,1)}
        65:{1,3,5}:{(47,1),(49,1),(55,1),(81,1)}
        66:{1,2,5,7}:{(47,1),(48,1),(50,1),(82,1),(83,1)}
        67:{2,3,6}:{(48,1),(58,1),(83,1),(88,1)}
        68:{1,3,7}:{(49,1),(50,1),(60,1)}
        69:{2,3,5}:{(51,1),(53,1),(55,1),(84,1)}
        70:{1,2,5,7}:{(51,1),(52,1),(54,1),(85,1),(86,1)}
        71:{1,3,6}:{(52,1),(57,1),(86,1),(88,1)}
        72:{2,3,7}:{(53,1),(54,1),(60,1)}
        73:{3,4}:{(55,1),(81,1),(84,1)}
        74:{3,5,7}:{(55,1),(56,1),(60,1),(87,1),(88,1),(100,1)}
        75:{1,2,4,6}:{(56,1),(57,1),(58,1),(83,1),(86,1),(88,1),(89,1),(98,1),(99,1),(101,1)}
        76:{1,5,6}:{(57,1),(59,1),(62,1)}
        77:{2,5,6}:{(58,1),(59,1),(63,1)}
        78:{4,5,6}:{(59,1),(64,1),(101,1)}
        79:{3,6,7}:{(60,1),(61,1),(88,1),(90,1)}
        80:{1,2,5,7}:{(61,1),(62,1),(63,1),(89,1),(90,1)}
        81:{1,4}:{(65,1),(73,1)}
        82:{1,3,5,7}:{(65,1),(66,1),(68,1),(74,1),(91,1),(92,1),(102,1)}
        83:{1,2,6}:{(66,1),(67,1),(92,1)}
        84:{2,4}:{(69,1),(73,1)}
        85:{2,3,5,7}:{(69,1),(70,1),(72,1),(74,1),(93,1),(94,1),(103,1)}
        86:{1,2,6}:{(70,1),(71,1),(94,1)}
        87:{3,4,7}:{(73,1),(74,1),(91,1),(93,1),(95,1),(97,1)}
        88:{3,6}:{(74,1),(75,1)}
        89:{1,2,5,6}:{(75,1),(76,1),(77,1),(80,1),(96,1),(102,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{1,4,7}:{(81,1),(82,1),(87,1),(98,1)}
        92:{1,3,6}:{(82,1),(83,1),(88,1),(98,1)}
        93:{2,4,7}:{(84,1),(85,1),(87,1),(99,1)}
        94:{2,3,6}:{(85,1),(86,1),(88,1),(99,1)}
        95:{3,4,6}:{(87,1),(88,1),(98,1),(99,1),(100,1),(101,1)}
        96:{3,5,6}:{(88,1),(89,1),(90,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{1,4,6}:{(91,1),(92,1),(95,1),(102,1)}
        99:{2,4,6}:{(93,1),(94,1),(95,1),(103,1)}
       100:{3,5}:{(95,1),(102,1),(103,1),(104,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{1,5}:{(98,1),(100,1)}
       103:{2,5}:{(99,1),(100,1)}
       104:{4,5}:{(100,1),(101,1)}

1178 :   0:{3,4,5,6}:{(1,1),(2,1),(3,1),(23,1),(154,1),(165,1),(205,1)}
         1:{3,4,5,7}:{(0,1),(7,1),(8,1),(9,1),(39,1),(133,1)}
         2:{1,4,5,6}:{(0,1),(4,1),(8,1),(171,1),(211,1)}
         3:{2,4,5,6}:{(0,1),(5,1),(9,1),(177,1),(214,1)}
         4:{1,3,5,6}:{(2,1),(13,1),(15,1),(16,1),(23,1),(143,1),(197,1)}
         5:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(23,1),(149,1),(202,1)}
         6:{4,5,6,7}:{(19,1),(102,1),(225,1)}
         7:{3,4,6,7}:{(1,1),(19,1),(20,1),(21,1),(55,1),(102,1),(205,1)}
         8:{1,4,5,7}:{(1,1),(2,1),(15,1),(20,1)}
         9:{2,4,5,7}:{(1,1),(3,1),(17,1),(21,1)}
        10:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(18,1),(22,1),(23,1),(50,1),(53,1),(95,1),(159,1),(161,1),(163,1),(165,1)}
        11:{1,3,4,5}:{(13,1),(24,1),(57,1),(106,1),(143,1)}
        12:{2,3,4,5}:{(14,1),(25,1),(57,1),(109,1),(149,1)}
        13:{1,3,4,6}:{(4,1),(11,1),(26,1),(27,1),(40,1)}
        14:{2,3,4,6}:{(5,1),(12,1),(28,1),(29,1),(40,1)}
        15:{1,3,5,7}:{(4,1),(8,1),(26,1),(30,1),(31,1),(39,1)}
        16:{1,2,5,6}:{(4,1),(27,1),(31,1),(32,1),(114,1),(174,1)}
        17:{2,3,5,7}:{(5,1),(9,1),(28,1),(33,1),(34,1),(39,1)}
        18:{1,2,5,6}:{(5,1),(29,1),(34,1),(35,1),(119,1),(180,1)}
        19:{3,5,6,7}:{(6,1),(7,1),(36,1),(37,1),(217,1)}
        20:{1,4,6,7}:{(7,1),(8,1),(30,1),(36,1),(211,1)}
        21:{2,4,6,7}:{(7,1),(9,1),(33,1),(37,1),(214,1)}
        22:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(31,1),(34,1),(38,1),(39,1),(71,1),(74,1),(127,1),(130,1),(133,1)}
        23:{3,5,6}:{(10,1),(39,1),(40,1),(123,1),(186,1)}
        24:{1,2,4,5}:{(11,1),(27,1),(41,1),(72,1),(80,1),(114,1)}
        25:{1,2,4,5}:{(12,1),(29,1),(42,1),(75,1),(82,1),(119,1)}
        26:{1,3,4,7}:{(13,1),(15,1),(43,1),(56,1)}
        27:{1,2,4,6}:{(13,1),(16,1),(24,1),(43,1),(44,1),(50,1)}
        28:{2,3,4,7}:{(14,1),(17,1),(45,1),(56,1)}
        29:{1,2,4,6}:{(14,1),(18,1),(25,1),(45,1),(46,1),(53,1)}
        30:{1,3,6,7}:{(15,1),(20,1),(48,1),(55,1),(197,1)}
        31:{1,2,5,7}:{(15,1),(16,1),(43,1),(48,1),(49,1)}
        32:{2,3,5,6}:{(16,1),(23,1),(44,1),(49,1),(50,1),(87,1),(146,1),(161,1)}
        33:{2,3,6,7}:{(17,1),(21,1),(51,1),(55,1),(202,1)}
        34:{1,2,5,7}:{(17,1),(18,1),(45,1),(51,1),(52,1)}
        35:{1,3,5,6}:{(18,1),(23,1),(46,1),(52,1),(53,1),(91,1),(152,1),(163,1)}
        36:{1,5,6,7}:{(19,1),(20,1),(221,1)}
        37:{2,5,6,7}:{(19,1),(21,1),(223,1)}
        38:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(48,1),(51,1),(54,1),(55,1),(96,1),(99,1),(102,1),(159,1)}
        39:{3,5,7}:{(22,1),(23,1),(55,1),(56,1)}
        40:{3,4,6}:{(23,1),(50,1),(53,1),(56,1),(57,1)}
        41:{2,3,5}:{(24,1),(44,1),(59,1)}
        42:{1,3,5}:{(25,1),(46,1),(61,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(31,1),(63,1),(71,1)}
        44:{2,3,6}:{(27,1),(41,1),(63,1)}
        45:{1,2,4,7}:{(28,1),(29,1),(34,1),(66,1),(74,1)}
        46:{1,3,6}:{(29,1),(42,1),(66,1)}
        47:{1,2,3,5,6}:{(32,1),(35,1),(62,1),(65,1),(68,1),(69,1),(114,1),(119,1),(123,1),(173,1),(174,1),(179,1),(180,1),(186,1),(188,1)}
        48:{1,2,6,7}:{(30,1),(31,1),(70,1),(174,1)}
        49:{2,3,5,7}:{(31,1),(32,1),(39,1),(63,1),(70,1),(71,1),(127,1)}
        50:{2,4,6}:{(32,1),(40,1),(71,1),(72,1)}
        51:{1,2,6,7}:{(33,1),(34,1),(73,1),(180,1)}
        52:{1,3,5,7}:{(34,1),(35,1),(39,1),(66,1),(73,1),(74,1),(130,1)}
        53:{1,4,6}:{(35,1),(40,1),(74,1),(75,1)}
        54:{1,2,5,6,7}:{(36,1),(37,1),(38,1),(76,1),(127,1),(130,1),(188,1)}
        55:{3,6,7}:{(38,1),(39,1),(186,1)}
        56:{3,4,7}:{(39,1),(40,1),(71,1),(74,1)}
        57:{3,4,5}:{(40,1),(72,1),(75,1),(123,1)}
        58:{1,2,3,5}:{(41,1),(62,1),(80,1),(114,1),(136,1)}
        59:{2,3,4}:{(41,1),(80,1)}
        60:{1,2,3,5}:{(42,1),(65,1),(82,1),(119,1),(139,1)}
        61:{1,3,4}:{(42,1),(82,1)}
        62:{1,2,3,6}:{(44,1),(58,1),(84,1),(85,1),(167,1)}
        63:{2,3,7}:{(43,1),(44,1)}
        64:{2,3,4,6}:{(44,1),(50,1),(59,1),(85,1),(86,1),(87,1),(92,1),(146,1)}
        65:{1,2,3,6}:{(46,1),(60,1),(88,1),(89,1),(169,1)}
        66:{1,3,7}:{(45,1),(46,1)}
        67:{1,3,4,6}:{(46,1),(53,1),(61,1),(89,1),(90,1),(91,1),(92,1),(152,1)}
        68:{1,2,3,5,7}:{(47,1),(49,1),(52,1),(84,1),(88,1),(93,1),(94,1),(144,1),(150,1),(156,1),(158,1),(198,1),(203,1)}
        69:{1,2,4,6}:{(47,1),(50,1),(53,1),(92,1),(94,1),(95,1),(196,1),(201,1)}
        70:{2,3,6,7}:{(48,1),(49,1),(55,1),(96,1),(146,1)}
        71:{2,4,7}:{(49,1),(50,1),(56,1)}
        72:{2,4,5}:{(50,1),(57,1),(87,1)}
        73:{1,3,6,7}:{(51,1),(52,1),(55,1),(99,1),(152,1)}
        74:{1,4,7}:{(52,1),(53,1),(56,1)}
        75:{1,4,5}:{(53,1),(57,1),(91,1)}
        76:{3,5,6,7}:{(54,1),(55,1),(102,1),(103,1),(208,1)}
        77:{3,4,6,7}:{(55,1),(56,1),(96,1),(99,1),(102,1),(103,1),(104,1)}
        78:{3,4,5,7}:{(56,1),(57,1),(97,1),(100,1),(103,1),(104,1),(156,1),(207,1)}
        79:{3,4,5,6}:{(57,1),(98,1),(101,1),(104,1),(105,1),(157,1),(225,1)}
        80:{1,2,4}:{(58,1),(59,1),(106,1)}
        81:{2,3,4,5}:{(59,1),(87,1),(107,1),(108,1),(154,1)}
        82:{1,2,4}:{(60,1),(61,1),(109,1)}
        83:{1,3,4,5}:{(61,1),(91,1),(110,1),(111,1),(154,1)}
        84:{1,2,3,7}:{(62,1),(63,1),(113,1),(193,1)}
        85:{1,2,4,6}:{(62,1),(64,1),(80,1),(112,1),(113,1),(114,1),(174,1)}
        86:{2,3,4,7}:{(63,1),(64,1),(71,1),(113,1),(115,1),(122,1)}
        87:{2,3,5}:{(64,1),(72,1),(114,1),(123,1)}
        88:{1,2,3,7}:{(65,1),(66,1),(118,1),(194,1)}
        89:{1,2,4,6}:{(65,1),(67,1),(82,1),(117,1),(118,1),(119,1),(180,1)}
        90:{1,3,4,7}:{(66,1),(67,1),(74,1),(118,1),(120,1),(122,1)}
        91:{1,3,5}:{(67,1),(75,1),(119,1),(123,1)}
        92:{3,4,6}:{(69,1),(122,1),(123,1),(186,1)}
        93:{1,2,3,6,7}:{(68,1),(70,1),(73,1),(124,1),(174,1),(180,1),(186,1),(213,1),(216,1)}
        94:{1,2,4,7}:{(68,1),(69,1),(71,1),(74,1),(122,1),(212,1),(215,1)}
        95:{1,2,4,5}:{(69,1),(72,1),(75,1),(114,1),(119,1),(123,1),(171,1),(177,1)}
        96:{2,4,6,7}:{(70,1),(71,1),(77,1),(127,1),(128,1)}
        97:{2,4,5,7}:{(71,1),(72,1),(78,1),(115,1),(127,1),(128,1)}
        98:{2,4,5,6}:{(72,1),(79,1),(116,1),(128,1),(129,1)}
        99:{1,4,6,7}:{(73,1),(74,1),(77,1),(130,1),(131,1)}
       100:{1,4,5,7}:{(74,1),(75,1),(78,1),(120,1),(130,1),(131,1)}
       101:{1,4,5,6}:{(75,1),(79,1),(121,1),(131,1),(132,1)}
       102:{4,6,7}:{(76,1),(133,1),(219,1)}
       103:{3,5,7}:{(77,1),(127,1),(130,1),(133,1),(134,1)}
       104:{3,4,6}:{(78,1),(128,1),(131,1),(134,1),(186,1),(219,1)}
       105:{3,4,5,7}:{(79,1),(129,1),(132,1),(135,1),(187,1),(230,1)}
       106:{1,3,4}:{(80,1),(136,1)}
       107:{1,2,4,5}:{(80,1),(81,1),(114,1),(136,1),(137,1),(171,1)}
       108:{2,3,4,6}:{(81,1),(116,1),(137,1),(138,1),(184,1)}
       109:{2,3,4}:{(82,1),(139,1)}
       110:{1,2,4,5}:{(82,1),(83,1),(119,1),(139,1),(140,1),(177,1)}
       111:{1,3,4,6}:{(83,1),(121,1),(140,1),(141,1),(184,1)}
       112:{1,3,4,6}:{(85,1),(92,1),(106,1),(142,1),(143,1),(167,1),(196,1),(197,1)}
       113:{1,2,4,7}:{(84,1),(85,1),(86,1),(142,1),(144,1)}
       114:{1,2,5}:{(85,1),(87,1),(143,1)}
       115:{2,3,5,7}:{(86,1),(87,1),(97,1),(144,1),(146,1),(156,1)}
       116:{2,3,5,6}:{(87,1),(98,1),(108,1),(145,1),(146,1),(147,1),(157,1)}
       117:{2,3,4,6}:{(89,1),(92,1),(109,1),(148,1),(149,1),(169,1),(201,1),(202,1)}
       118:{1,2,4,7}:{(88,1),(89,1),(90,1),(148,1),(150,1)}
       119:{1,2,5}:{(89,1),(91,1),(149,1)}
       120:{1,3,5,7}:{(90,1),(91,1),(100,1),(150,1),(152,1),(156,1)}
       121:{1,3,5,6}:{(91,1),(101,1),(111,1),(151,1),(152,1),(153,1),(157,1)}
       122:{3,4,7}:{(92,1),(94,1),(156,1)}
       123:{3,5}:{(92,1),(95,1)}
       124:{1,2,4,6,7}:{(93,1),(94,1),(96,1),(99,1),(155,1),(158,1),(159,1),(222,1),(224,1)}
       125:{1,2,4,5,7}:{(94,1),(95,1),(97,1),(100,1),(144,1),(150,1),(156,1),(158,1),(159,1),(195,1),(200,1),(207,1)}
       126:{1,2,4,5,6}:{(95,1),(98,1),(101,1),(145,1),(151,1),(157,1),(159,1),(160,1),(196,1),(201,1),(221,1),(223,1),(225,1)}
       127:{2,5,7}:{(96,1),(103,1),(161,1)}
       128:{2,4,6}:{(97,1),(104,1),(146,1),(161,1)}
       129:{2,4,5,7}:{(98,1),(105,1),(147,1),(162,1)}
       130:{1,5,7}:{(99,1),(103,1),(163,1)}
       131:{1,4,6}:{(100,1),(104,1),(152,1),(163,1)}
       132:{1,4,5,7}:{(101,1),(105,1),(153,1),(164,1)}
       133:{4,5,7}:{(102,1),(103,1),(165,1)}
       134:{3,5,6}:{(103,1),(104,1),(161,1),(163,1),(165,1)}
       135:{3,4,6,7}:{(104,1),(105,1),(162,1),(164,1),(166,1),(209,1),(227,1)}
       136:{1,3,5}:{(106,1),(107,1),(167,1)}
       137:{1,2,4,6}:{(107,1),(108,1),(145,1),(167,1),(168,1),(196,1)}
       138:{2,3,4,7}:{(108,1),(147,1),(168,1),(206,1)}
       139:{2,3,5}:{(109,1),(110,1),(169,1)}
       140:{1,2,4,6}:{(110,1),(111,1),(151,1),(169,1),(170,1),(201,1)}
       141:{1,3,4,7}:{(111,1),(153,1),(170,1),(206,1)}
       142:{1,3,4,7}:{(112,1),(113,1),(122,1),(172,1),(193,1),(212,1)}
       143:{1,3,5}:{(112,1),(114,1),(123,1),(171,1)}
       144:{1,2,5,7}:{(113,1),(114,1),(115,1),(172,1),(174,1)}
       145:{1,2,5,6}:{(114,1),(116,1),(137,1),(173,1),(174,1),(175,1)}
       146:{2,3,6}:{(115,1),(128,1),(174,1),(186,1)}
       147:{2,3,5,7}:{(116,1),(129,1),(138,1),(175,1),(176,1),(187,1)}
       148:{2,3,4,7}:{(117,1),(118,1),(122,1),(178,1),(194,1),(215,1)}
       149:{2,3,5}:{(117,1),(119,1),(123,1),(177,1)}
       150:{1,2,5,7}:{(118,1),(119,1),(120,1),(178,1),(180,1)}
       151:{1,2,5,6}:{(119,1),(121,1),(140,1),(179,1),(180,1),(181,1)}
       152:{1,3,6}:{(120,1),(131,1),(180,1),(186,1)}
       153:{1,3,5,7}:{(121,1),(132,1),(141,1),(181,1),(182,1),(187,1)}
       154:{3,4,5}:{(123,1),(171,1),(177,1),(184,1)}
       155:{3,4,6,7}:{(122,1),(124,1),(185,1),(186,1),(219,1)}
       156:{3,5,7}:{(122,1),(123,1),(125,1),(186,1)}
       157:{3,5,6}:{(123,1),(126,1),(184,1),(186,1),(187,1)}
       158:{1,2,5,7}:{(124,1),(127,1),(130,1),(185,1),(188,1),(228,1),(229,1)}
       159:{1,2,4,6}:{(125,1),(128,1),(131,1),(174,1),(180,1),(186,1),(188,1),(211,1),(214,1),(219,1)}
       160:{1,2,4,5,7}:{(126,1),(129,1),(132,1),(175,1),(181,1),(187,1),(189,1),(212,1),(215,1),(228,1),(229,1),(230,1)}
       161:{2,5,6}:{(127,1),(128,1),(134,1)}
       162:{2,4,6,7}:{(128,1),(129,1),(135,1),(176,1),(190,1)}
       163:{1,5,6}:{(130,1),(131,1),(134,1)}
       164:{1,4,6,7}:{(131,1),(132,1),(135,1),(182,1),(191,1)}
       165:{4,5,6}:{(133,1),(134,1),(219,1)}
       166:{3,5,6,7}:{(134,1),(135,1),(190,1),(191,1),(192,1)}
       167:{1,3,6}:{(136,1),(137,1),(193,1)}
       168:{1,2,4,7}:{(137,1),(138,1),(175,1),(193,1),(212,1)}
       169:{2,3,6}:{(139,1),(140,1),(194,1)}
       170:{1,2,4,7}:{(140,1),(141,1),(181,1),(194,1),(215,1)}
       171:{1,4,5}:{(143,1),(154,1),(196,1)}
       172:{1,3,5,7}:{(142,1),(143,1),(144,1),(156,1),(195,1),(197,1)}
       173:{1,3,5,6}:{(143,1),(145,1),(157,1),(167,1),(196,1),(197,1),(198,1),(221,1)}
       174:{1,2,6}:{(144,1),(146,1),(197,1)}
       175:{1,2,5,7}:{(145,1),(147,1),(168,1),(198,1),(199,1)}
       176:{2,3,6,7}:{(146,1),(147,1),(162,1),(199,1),(209,1)}
       177:{2,4,5}:{(149,1),(154,1),(201,1)}
       178:{2,3,5,7}:{(148,1),(149,1),(150,1),(156,1),(200,1),(202,1)}
       179:{2,3,5,6}:{(149,1),(151,1),(157,1),(169,1),(201,1),(202,1),(203,1),(223,1)}
       180:{1,2,6}:{(150,1),(152,1),(202,1)}
       181:{1,2,5,7}:{(151,1),(153,1),(170,1),(203,1),(204,1)}
       182:{1,3,6,7}:{(152,1),(153,1),(164,1),(204,1),(209,1)}
       183:{3,4,5,7}:{(154,1),(156,1),(195,1),(200,1),(205,1),(206,1),(207,1),(226,1)}
       184:{3,4,6}:{(154,1),(157,1),(196,1),(201,1),(206,1)}
       185:{3,5,7}:{(155,1),(158,1),(207,1),(208,1)}
       186:{3,6}:{(156,1),(159,1)}
       187:{3,5,7}:{(157,1),(160,1),(206,1),(209,1)}
       188:{1,2,5,6}:{(158,1),(159,1),(161,1),(163,1),(208,1),(221,1),(223,1)}
       189:{1,2,4,6,7}:{(159,1),(160,1),(162,1),(164,1),(199,1),(204,1),(209,1),(210,1),(222,1),(224,1),(227,1)}
       190:{2,5,6,7}:{(161,1),(162,1),(166,1)}
       191:{1,5,6,7}:{(163,1),(164,1),(166,1)}
       192:{4,5,6,7}:{(165,1),(166,1),(227,1)}
       193:{1,3,7}:{(167,1),(168,1)}
       194:{2,3,7}:{(169,1),(170,1)}
       195:{1,4,5,7}:{(171,1),(172,1),(183,1),(211,1),(212,1),(228,1)}
       196:{1,4,6}:{(171,1),(173,1),(184,1),(212,1)}
       197:{1,3,6}:{(172,1),(174,1),(186,1),(211,1)}
       198:{1,3,5,7}:{(173,1),(175,1),(187,1),(193,1),(212,1),(213,1),(228,1)}
       199:{1,2,6,7}:{(174,1),(175,1),(176,1),(213,1)}
       200:{2,4,5,7}:{(177,1),(178,1),(183,1),(214,1),(215,1),(229,1)}
       201:{2,4,6}:{(177,1),(179,1),(184,1),(215,1)}
       202:{2,3,6}:{(178,1),(180,1),(186,1),(214,1)}
       203:{2,3,5,7}:{(179,1),(181,1),(187,1),(194,1),(215,1),(216,1),(229,1)}
       204:{1,2,6,7}:{(180,1),(181,1),(182,1),(216,1)}
       205:{3,4,6}:{(183,1),(186,1),(211,1),(214,1),(217,1),(219,1)}
       206:{3,4,7}:{(184,1),(187,1),(212,1),(215,1)}
       207:{4,5,7}:{(185,1),(219,1)}
       208:{3,5,6}:{(185,1),(186,1),(188,1),(219,1)}
       209:{3,6,7}:{(186,1),(187,1),(189,1)}
       210:{1,2,5,6,7}:{(188,1),(189,1),(190,1),(191,1),(220,1),(228,1),(229,1)}
       211:{1,4,6}:{(195,1),(197,1),(205,1),(221,1)}
       212:{1,4,7}:{(196,1),(198,1),(206,1)}
       213:{1,3,6,7}:{(197,1),(198,1),(199,1),(209,1),(222,1)}
       214:{2,4,6}:{(200,1),(202,1),(205,1),(223,1)}
       215:{2,4,7}:{(201,1),(203,1),(206,1)}
       216:{2,3,6,7}:{(202,1),(203,1),(204,1),(209,1),(224,1)}
       217:{3,5,6}:{(205,1),(221,1),(223,1),(225,1),(226,1)}
       218:{3,4,6,7}:{(205,1),(206,1),(209,1),(222,1),(224,1),(226,1),(227,1)}
       219:{4,6}:{(207,1),(208,1)}
       220:{3,5,6,7}:{(208,1),(209,1),(210,1),(226,1),(227,1)}
       221:{1,5,6}:{(211,1),(217,1),(228,1)}
       222:{1,4,6,7}:{(211,1),(212,1),(213,1),(218,1),(228,1)}
       223:{2,5,6}:{(214,1),(217,1),(229,1)}
       224:{2,4,6,7}:{(214,1),(215,1),(216,1),(218,1),(229,1)}
       225:{4,5,6}:{(217,1),(219,1),(230,1)}
       226:{3,5,7}:{(217,1),(218,1),(228,1),(229,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(226,1)}
       229:{2,5,7}:{(223,1),(224,1),(226,1)}
       230:{4,5,7}:{(225,1),(226,1),(227,1)}

1179 :   0:{4,5,6,7}:{(1,1),(29,1),(208,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(4,1),(219,1)}
         2:{3,4,6,7}:{(1,1),(6,1),(7,1),(8,1),(28,1),(29,1),(206,1)}
         3:{1,5,6,7}:{(1,1),(7,1),(224,1)}
         4:{2,5,6,7}:{(1,1),(8,1),(226,1)}
         5:{3,4,5,6}:{(6,1),(10,1),(11,1),(34,1),(62,1),(172,1),(206,1)}
         6:{3,4,5,7}:{(2,1),(5,1),(12,1),(13,1),(41,1),(45,1)}
         7:{1,4,6,7}:{(2,1),(3,1),(12,1),(14,1),(215,1)}
         8:{2,4,6,7}:{(2,1),(4,1),(13,1),(15,1),(217,1)}
         9:{1,2,5,6,7}:{(3,1),(4,1),(16,1),(17,1),(80,1),(81,1),(134,1)}
        10:{1,4,5,6}:{(5,1),(12,1),(18,1),(190,1),(215,1)}
        11:{2,4,5,6}:{(5,1),(13,1),(19,1),(193,1),(217,1)}
        12:{1,4,5,7}:{(6,1),(7,1),(10,1),(23,1)}
        13:{2,4,5,7}:{(6,1),(8,1),(11,1),(24,1)}
        14:{1,3,6,7}:{(7,1),(23,1),(26,1),(28,1),(201,1)}
        15:{2,3,6,7}:{(8,1),(24,1),(27,1),(28,1),(204,1)}
        16:{1,2,4,6,7}:{(7,1),(8,1),(9,1),(25,1),(26,1),(27,1),(28,1),(29,1),(59,1),(60,1),(160,1)}
        17:{3,5,6,7}:{(9,1),(28,1),(29,1),(61,1),(164,1)}
        18:{1,3,5,6}:{(10,1),(23,1),(30,1),(32,1),(34,1),(166,1),(201,1)}
        19:{2,3,5,6}:{(11,1),(24,1),(31,1),(33,1),(34,1),(169,1),(204,1)}
        20:{1,2,4,5,6}:{(10,1),(11,1),(25,1),(32,1),(33,1),(34,1),(62,1),(66,1),(67,1),(106,1),(107,1),(114,1),(160,1)}
        21:{1,3,4,5}:{(30,1),(35,1),(68,1),(118,1),(166,1)}
        22:{2,3,4,5}:{(31,1),(36,1),(68,1),(121,1),(169,1)}
        23:{1,3,5,7}:{(12,1),(14,1),(18,1),(37,1),(39,1),(41,1)}
        24:{2,3,5,7}:{(13,1),(15,1),(19,1),(38,1),(40,1),(41,1)}
        25:{1,2,4,5,7}:{(12,1),(13,1),(16,1),(20,1),(39,1),(40,1),(41,1),(45,1),(76,1),(77,1),(80,1),(81,1)}
        26:{1,2,6,7}:{(14,1),(39,1),(42,1),(180,1)}
        27:{1,2,6,7}:{(15,1),(40,1),(43,1),(183,1)}
        28:{3,6,7}:{(16,1),(41,1),(186,1)}
        29:{4,6,7}:{(17,1),(45,1),(188,1)}
        30:{1,3,4,6}:{(18,1),(21,1),(37,1),(46,1),(50,1)}
        31:{2,3,4,6}:{(19,1),(22,1),(38,1),(47,1),(50,1)}
        32:{1,2,5,6}:{(18,1),(39,1),(46,1),(48,1),(138,1),(180,1)}
        33:{1,2,5,6}:{(19,1),(40,1),(47,1),(49,1),(141,1),(183,1)}
        34:{3,5,6}:{(20,1),(41,1),(50,1),(143,1),(186,1)}
        35:{1,2,4,5}:{(21,1),(46,1),(51,1),(89,1),(92,1),(138,1)}
        36:{1,2,4,5}:{(22,1),(47,1),(52,1),(90,1),(94,1),(141,1)}
        37:{1,3,4,7}:{(23,1),(30,1),(53,1),(57,1)}
        38:{2,3,4,7}:{(24,1),(31,1),(54,1),(57,1)}
        39:{1,2,5,7}:{(23,1),(26,1),(32,1),(53,1),(55,1)}
        40:{1,2,5,7}:{(24,1),(27,1),(33,1),(54,1),(56,1)}
        41:{3,5,7}:{(25,1),(28,1),(34,1),(57,1)}
        42:{2,3,6,7}:{(26,1),(28,1),(55,1),(59,1),(155,1)}
        43:{1,3,6,7}:{(27,1),(28,1),(56,1),(60,1),(158,1)}
        44:{3,4,6,7}:{(28,1),(29,1),(57,1),(59,1),(60,1),(61,1),(103,1)}
        45:{4,5,7}:{(29,1),(61,1),(62,1)}
        46:{1,2,4,6}:{(30,1),(32,1),(35,1),(53,1),(63,1),(66,1)}
        47:{1,2,4,6}:{(31,1),(33,1),(36,1),(54,1),(64,1),(67,1)}
        48:{2,3,5,6}:{(32,1),(34,1),(55,1),(63,1),(66,1),(106,1),(110,1),(155,1)}
        49:{1,3,5,6}:{(33,1),(34,1),(56,1),(64,1),(67,1),(107,1),(112,1),(158,1)}
        50:{3,4,6}:{(34,1),(57,1),(66,1),(67,1),(68,1)}
        51:{2,3,5}:{(35,1),(63,1),(70,1)}
        52:{1,3,5}:{(36,1),(64,1),(72,1)}
        53:{1,2,4,7}:{(37,1),(39,1),(46,1),(73,1),(76,1)}
        54:{1,2,4,7}:{(38,1),(40,1),(47,1),(74,1),(77,1)}
        55:{2,3,5,7}:{(39,1),(41,1),(42,1),(48,1),(73,1),(76,1),(80,1)}
        56:{1,3,5,7}:{(40,1),(41,1),(43,1),(49,1),(74,1),(77,1),(81,1)}
        57:{3,4,7}:{(41,1),(50,1),(76,1),(77,1)}
        58:{1,2,3,6,7}:{(42,1),(43,1),(75,1),(79,1),(180,1),(183,1),(186,1),(216,1),(218,1)}
        59:{2,4,6,7}:{(42,1),(44,1),(76,1),(80,1),(130,1)}
        60:{1,4,6,7}:{(43,1),(44,1),(77,1),(81,1),(131,1)}
        61:{3,5,7}:{(44,1),(45,1),(80,1),(81,1),(82,1)}
        62:{4,5,6}:{(45,1),(82,1),(188,1)}
        63:{2,3,6}:{(46,1),(51,1),(73,1)}
        64:{1,3,6}:{(47,1),(52,1),(74,1)}
        65:{1,2,3,5,6}:{(48,1),(49,1),(75,1),(84,1),(86,1),(88,1),(134,1),(138,1),(141,1),(143,1),(180,1),(183,1),(186,1),(191,1),(194,1)}
        66:{2,4,6}:{(48,1),(50,1),(76,1),(89,1)}
        67:{1,4,6}:{(49,1),(50,1),(77,1),(90,1)}
        68:{3,4,5}:{(50,1),(89,1),(90,1),(143,1)}
        69:{1,2,3,5}:{(51,1),(84,1),(92,1),(138,1),(147,1)}
        70:{2,3,4}:{(51,1),(92,1)}
        71:{1,2,3,5}:{(52,1),(86,1),(94,1),(141,1),(150,1)}
        72:{1,3,4}:{(52,1),(94,1)}
        73:{2,3,7}:{(53,1),(63,1)}
        74:{1,3,7}:{(54,1),(64,1)}
        75:{1,2,3,5,7}:{(55,1),(56,1),(58,1),(65,1),(96,1),(98,1),(100,1),(105,1),(154,1),(157,1),(159,1),(211,1),(213,1)}
        76:{2,4,7}:{(55,1),(57,1),(66,1)}
        77:{1,4,7}:{(56,1),(57,1),(67,1)}
        78:{3,4,5,7}:{(57,1),(61,1),(68,1),(101,1),(102,1),(103,1),(159,1),(163,1)}
        79:{1,2,4,6,7}:{(58,1),(59,1),(60,1),(100,1),(104,1),(105,1),(160,1),(225,1),(227,1)}
        80:{2,5,7}:{(59,1),(61,1),(106,1)}
        81:{1,5,7}:{(60,1),(61,1),(107,1)}
        82:{3,5,6}:{(61,1),(62,1),(103,1),(106,1),(107,1)}
        83:{4,5,6,7}:{(62,1),(108,1),(209,1)}
        84:{1,2,3,6}:{(63,1),(69,1),(96,1),(109,1),(175,1)}
        85:{2,3,4,6}:{(63,1),(66,1),(70,1),(97,1),(109,1),(110,1),(113,1),(155,1)}
        86:{1,2,3,6}:{(64,1),(71,1),(98,1),(111,1),(177,1)}
        87:{1,3,4,6}:{(64,1),(67,1),(72,1),(99,1),(111,1),(112,1),(113,1),(158,1)}
        88:{1,2,4,6}:{(65,1),(66,1),(67,1),(100,1),(113,1),(114,1),(210,1),(212,1)}
        89:{2,4,5}:{(66,1),(68,1),(110,1)}
        90:{1,4,5}:{(67,1),(68,1),(112,1)}
        91:{3,4,5,6}:{(68,1),(103,1),(115,1),(116,1),(117,1),(173,1),(208,1)}
        92:{1,2,4}:{(69,1),(70,1),(118,1)}
        93:{2,3,4,5}:{(70,1),(110,1),(119,1),(120,1),(172,1)}
        94:{1,2,4}:{(71,1),(72,1),(121,1)}
        95:{1,3,4,5}:{(72,1),(112,1),(122,1),(123,1),(172,1)}
        96:{1,2,3,7}:{(73,1),(84,1),(124,1),(198,1)}
        97:{2,3,4,7}:{(73,1),(76,1),(85,1),(124,1),(125,1),(128,1)}
        98:{1,2,3,7}:{(74,1),(86,1),(126,1),(199,1)}
        99:{1,3,4,7}:{(74,1),(77,1),(87,1),(126,1),(127,1),(128,1)}
       100:{1,2,4,7}:{(75,1),(76,1),(77,1),(88,1),(128,1),(222,1),(223,1)}
       101:{2,4,5,7}:{(76,1),(78,1),(80,1),(89,1),(125,1),(130,1)}
       102:{1,4,5,7}:{(77,1),(78,1),(81,1),(90,1),(127,1),(131,1)}
       103:{3,4,6}:{(78,1),(82,1),(130,1),(131,1),(186,1),(188,1)}
       104:{3,4,6,7}:{(79,1),(128,1),(133,1),(186,1),(188,1)}
       105:{1,2,5,7}:{(79,1),(80,1),(81,1),(133,1),(134,1),(229,1),(230,1)}
       106:{2,5,6}:{(80,1),(82,1),(130,1)}
       107:{1,5,6}:{(81,1),(82,1),(131,1)}
       108:{3,5,6,7}:{(82,1),(83,1),(132,1),(135,1),(136,1)}
       109:{1,2,4,6}:{(84,1),(85,1),(92,1),(124,1),(137,1),(138,1),(180,1)}
       110:{2,3,5}:{(85,1),(89,1),(138,1),(143,1)}
       111:{1,2,4,6}:{(86,1),(87,1),(94,1),(126,1),(140,1),(141,1),(183,1)}
       112:{1,3,5}:{(87,1),(90,1),(141,1),(143,1)}
       113:{3,4,6}:{(88,1),(128,1),(143,1),(186,1)}
       114:{1,2,4,5}:{(88,1),(89,1),(90,1),(138,1),(141,1),(143,1),(190,1),(193,1)}
       115:{2,4,5,6}:{(89,1),(91,1),(130,1),(139,1),(145,1)}
       116:{1,4,5,6}:{(90,1),(91,1),(131,1),(142,1),(146,1)}
       117:{3,4,5,7}:{(91,1),(132,1),(145,1),(146,1),(197,1),(221,1)}
       118:{1,3,4}:{(92,1),(147,1)}
       119:{1,2,4,5}:{(92,1),(93,1),(138,1),(147,1),(148,1),(190,1)}
       120:{2,3,4,6}:{(93,1),(139,1),(148,1),(149,1),(196,1)}
       121:{2,3,4}:{(94,1),(150,1)}
       122:{1,2,4,5}:{(94,1),(95,1),(141,1),(150,1),(151,1),(193,1)}
       123:{1,3,4,6}:{(95,1),(142,1),(151,1),(152,1),(196,1)}
       124:{1,2,4,7}:{(96,1),(97,1),(109,1),(153,1),(154,1)}
       125:{2,3,5,7}:{(97,1),(101,1),(110,1),(154,1),(155,1),(159,1)}
       126:{1,2,4,7}:{(98,1),(99,1),(111,1),(156,1),(157,1)}
       127:{1,3,5,7}:{(99,1),(102,1),(112,1),(157,1),(158,1),(159,1)}
       128:{3,4,7}:{(100,1),(113,1),(159,1)}
       129:{1,2,4,5,7}:{(100,1),(101,1),(102,1),(105,1),(114,1),(154,1),(157,1),(159,1),(160,1),(163,1),(200,1),(203,1)}
       130:{2,4,6}:{(101,1),(103,1),(106,1),(155,1)}
       131:{1,4,6}:{(102,1),(103,1),(107,1),(158,1)}
       132:{3,4,6,7}:{(103,1),(108,1),(117,1),(161,1),(162,1),(207,1),(209,1)}
       133:{3,5,7}:{(104,1),(105,1),(163,1),(164,1)}
       134:{1,2,5,6}:{(105,1),(106,1),(107,1),(160,1),(164,1),(224,1),(226,1)}
       135:{2,5,6,7}:{(106,1),(108,1),(161,1)}
       136:{1,5,6,7}:{(107,1),(108,1),(162,1)}
       137:{1,3,4,6}:{(109,1),(113,1),(118,1),(153,1),(166,1),(175,1),(201,1),(210,1)}
       138:{1,2,5}:{(109,1),(110,1),(166,1)}
       139:{2,3,5,6}:{(110,1),(115,1),(120,1),(155,1),(167,1),(168,1),(173,1)}
       140:{2,3,4,6}:{(111,1),(113,1),(121,1),(156,1),(169,1),(177,1),(204,1),(212,1)}
       141:{1,2,5}:{(111,1),(112,1),(169,1)}
       142:{1,3,5,6}:{(112,1),(116,1),(123,1),(158,1),(170,1),(171,1),(173,1)}
       143:{3,5}:{(113,1),(114,1)}
       144:{1,2,4,5,6}:{(114,1),(115,1),(116,1),(160,1),(167,1),(170,1),(173,1),(174,1),(208,1),(210,1),(212,1),(224,1),(226,1)}
       145:{2,4,5,7}:{(115,1),(117,1),(161,1),(168,1)}
       146:{1,4,5,7}:{(116,1),(117,1),(162,1),(171,1)}
       147:{1,3,5}:{(118,1),(119,1),(175,1)}
       148:{1,2,4,6}:{(119,1),(120,1),(167,1),(175,1),(176,1),(210,1)}
       149:{2,3,4,7}:{(120,1),(168,1),(176,1),(214,1)}
       150:{2,3,5}:{(121,1),(122,1),(177,1)}
       151:{1,2,4,6}:{(122,1),(123,1),(170,1),(177,1),(178,1),(212,1)}
       152:{1,3,4,7}:{(123,1),(171,1),(178,1),(214,1)}
       153:{1,3,4,7}:{(124,1),(128,1),(137,1),(179,1),(198,1),(222,1)}
       154:{1,2,5,7}:{(124,1),(125,1),(138,1),(179,1),(180,1)}
       155:{2,3,6}:{(125,1),(130,1),(180,1),(186,1)}
       156:{2,3,4,7}:{(126,1),(128,1),(140,1),(182,1),(199,1),(223,1)}
       157:{1,2,5,7}:{(126,1),(127,1),(141,1),(182,1),(183,1)}
       158:{1,3,6}:{(127,1),(131,1),(183,1),(186,1)}
       159:{3,5,7}:{(128,1),(129,1),(143,1),(186,1)}
       160:{1,2,4,6}:{(129,1),(130,1),(131,1),(134,1),(180,1),(183,1),(186,1),(188,1),(215,1),(217,1)}
       161:{2,4,6,7}:{(130,1),(132,1),(135,1),(145,1),(181,1)}
       162:{1,4,6,7}:{(131,1),(132,1),(136,1),(146,1),(184,1)}
       163:{4,5,7}:{(133,1),(188,1)}
       164:{3,5,6}:{(133,1),(134,1),(186,1),(188,1)}
       165:{1,2,5,6,7}:{(134,1),(135,1),(136,1),(187,1),(189,1),(229,1),(230,1)}
       166:{1,3,5}:{(137,1),(138,1),(143,1),(190,1)}
       167:{1,2,5,6}:{(138,1),(139,1),(148,1),(180,1),(191,1),(192,1)}
       168:{2,3,5,7}:{(139,1),(145,1),(149,1),(181,1),(192,1),(197,1)}
       169:{2,3,5}:{(140,1),(141,1),(143,1),(193,1)}
       170:{1,2,5,6}:{(141,1),(142,1),(151,1),(183,1),(194,1),(195,1)}
       171:{1,3,5,7}:{(142,1),(146,1),(152,1),(184,1),(195,1),(197,1)}
       172:{3,4,5}:{(143,1),(190,1),(193,1),(196,1)}
       173:{3,5,6}:{(143,1),(144,1),(186,1),(196,1),(197,1)}
       174:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(187,1),(192,1),(195,1),(197,1),(221,1),(222,1),(223,1),(229,1),(230,1)}
       175:{1,3,6}:{(147,1),(148,1),(198,1)}
       176:{1,2,4,7}:{(148,1),(149,1),(192,1),(198,1),(222,1)}
       177:{2,3,6}:{(150,1),(151,1),(199,1)}
       178:{1,2,4,7}:{(151,1),(152,1),(195,1),(199,1),(223,1)}
       179:{1,3,5,7}:{(153,1),(154,1),(159,1),(166,1),(200,1),(201,1)}
       180:{1,2,6}:{(154,1),(155,1),(201,1)}
       181:{2,3,6,7}:{(155,1),(161,1),(168,1),(202,1),(207,1)}
       182:{2,3,5,7}:{(156,1),(157,1),(159,1),(169,1),(203,1),(204,1)}
       183:{1,2,6}:{(157,1),(158,1),(204,1)}
       184:{1,3,6,7}:{(158,1),(162,1),(171,1),(205,1),(207,1)}
       185:{3,4,5,7}:{(159,1),(163,1),(172,1),(200,1),(203,1),(206,1),(214,1),(228,1)}
       186:{3,6}:{(159,1),(160,1)}
       187:{1,2,4,6,7}:{(160,1),(161,1),(162,1),(165,1),(174,1),(202,1),(205,1),(207,1),(209,1),(225,1),(227,1)}
       188:{4,6}:{(163,1),(164,1)}
       189:{3,5,6,7}:{(164,1),(165,1),(207,1),(209,1),(228,1)}
       190:{1,4,5}:{(166,1),(172,1),(210,1)}
       191:{1,3,5,6}:{(166,1),(167,1),(173,1),(175,1),(201,1),(210,1),(211,1),(224,1)}
       192:{1,2,5,7}:{(167,1),(168,1),(176,1),(202,1),(211,1)}
       193:{2,4,5}:{(169,1),(172,1),(212,1)}
       194:{2,3,5,6}:{(169,1),(170,1),(173,1),(177,1),(204,1),(212,1),(213,1),(226,1)}
       195:{1,2,5,7}:{(170,1),(171,1),(178,1),(205,1),(213,1)}
       196:{3,4,6}:{(172,1),(173,1),(210,1),(212,1),(214,1)}
       197:{3,5,7}:{(173,1),(174,1),(207,1),(214,1)}
       198:{1,3,7}:{(175,1),(176,1)}
       199:{2,3,7}:{(177,1),(178,1)}
       200:{1,4,5,7}:{(179,1),(185,1),(190,1),(215,1),(222,1),(229,1)}
       201:{1,3,6}:{(179,1),(180,1),(186,1),(215,1)}
       202:{1,2,6,7}:{(180,1),(181,1),(192,1),(216,1)}
       203:{2,4,5,7}:{(182,1),(185,1),(193,1),(217,1),(223,1),(230,1)}
       204:{2,3,6}:{(182,1),(183,1),(186,1),(217,1)}
       205:{1,2,6,7}:{(183,1),(184,1),(195,1),(218,1)}
       206:{3,4,6}:{(185,1),(186,1),(188,1),(215,1),(217,1),(219,1)}
       207:{3,6,7}:{(186,1),(187,1),(197,1)}
       208:{4,5,6}:{(188,1),(219,1),(221,1)}
       209:{4,6,7}:{(188,1),(189,1),(221,1)}
       210:{1,4,6}:{(190,1),(191,1),(196,1),(222,1)}
       211:{1,3,5,7}:{(191,1),(192,1),(197,1),(198,1),(216,1),(222,1),(229,1)}
       212:{2,4,6}:{(193,1),(194,1),(196,1),(223,1)}
       213:{2,3,5,7}:{(194,1),(195,1),(197,1),(199,1),(218,1),(223,1),(230,1)}
       214:{3,4,7}:{(196,1),(197,1),(222,1),(223,1)}
       215:{1,4,6}:{(200,1),(201,1),(206,1),(224,1)}
       216:{1,3,6,7}:{(201,1),(202,1),(207,1),(211,1),(225,1)}
       217:{2,4,6}:{(203,1),(204,1),(206,1),(226,1)}
       218:{2,3,6,7}:{(204,1),(205,1),(207,1),(213,1),(227,1)}
       219:{3,5,6}:{(206,1),(208,1),(224,1),(226,1),(228,1)}
       220:{3,4,6,7}:{(206,1),(207,1),(209,1),(214,1),(225,1),(227,1),(228,1)}
       221:{4,5,7}:{(208,1),(209,1),(228,1)}
       222:{1,4,7}:{(210,1),(211,1),(214,1)}
       223:{2,4,7}:{(212,1),(213,1),(214,1)}
       224:{1,5,6}:{(215,1),(219,1),(229,1)}
       225:{1,4,6,7}:{(215,1),(216,1),(220,1),(222,1),(229,1)}
       226:{2,5,6}:{(217,1),(219,1),(230,1)}
       227:{2,4,6,7}:{(217,1),(218,1),(220,1),(223,1),(230,1)}
       228:{3,5,7}:{(219,1),(220,1),(221,1),(229,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(228,1)}
       230:{2,5,7}:{(226,1),(227,1),(228,1)}

1180 :  0:{1,2,6,7}:{(3,1),(4,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(41,1),(42,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(19,1),(23,1),(24,1),(25,1),(41,1),(42,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{1,2,5,7}:{(0,1),(1,1),(9,1),(10,1),(46,1),(47,1)}
        5:{3,5,6}:{(1,1),(9,1),(11,1),(12,1),(26,1),(31,1),(45,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(12,1),(32,1),(33,1),(34,1)}
        7:{3,5}:{(2,1),(12,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(17,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(17,1),(18,1)}
       10:{1,2,4,7}:{(4,1),(6,1),(17,1),(18,1),(38,1),(39,1),(40,1)}
       11:{4,6}:{(5,1),(17,1),(19,1)}
       12:{3,6}:{(6,1),(7,1),(18,1)}
       13:{3,4}:{(7,1),(23,1),(24,1),(44,1)}
       14:{1,3,5}:{(7,1),(21,1),(23,1),(25,1),(41,1),(44,1),(55,1)}
       15:{2,3,5}:{(7,1),(22,1),(24,1),(25,1),(42,1),(44,1),(55,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,7}:{(9,1),(11,1)}
       18:{3,7}:{(10,1),(12,1)}
       19:{4,5}:{(11,1),(31,1),(58,1)}
       20:{3,4,6}:{(11,1),(12,1),(13,1),(28,1),(31,1),(32,1),(33,1),(45,1),(50,1),(58,1),(61,1)}
       21:{1,3,6}:{(12,1),(14,1),(29,1),(32,1),(34,1),(50,1)}
       22:{2,3,6}:{(12,1),(15,1),(30,1),(33,1),(34,1),(50,1)}
       23:{1,4}:{(13,1),(14,1),(58,1)}
       24:{2,4}:{(13,1),(15,1),(58,1)}
       25:{1,2,5}:{(14,1),(15,1),(34,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(19,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,4,7}:{(17,1),(18,1),(20,1),(37,1),(38,1),(39,1),(54,1),(60,1)}
       29:{1,3,7}:{(18,1),(21,1),(38,1),(40,1),(54,1)}
       30:{2,3,7}:{(18,1),(22,1),(39,1),(40,1),(54,1)}
       31:{3,5}:{(19,1),(20,1),(41,1),(42,1),(62,1)}
       32:{1,4,6}:{(20,1),(21,1),(23,1),(38,1),(41,1),(51,1)}
       33:{2,4,6}:{(20,1),(22,1),(24,1),(39,1),(42,1),(52,1)}
       34:{1,2,6}:{(21,1),(22,1),(25,1),(40,1)}
       35:{1,2,4}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(31,1),(45,1),(46,1),(47,1)}
       38:{1,4,7}:{(28,1),(29,1),(32,1),(46,1)}
       39:{2,4,7}:{(28,1),(30,1),(33,1),(47,1)}
       40:{1,2,7}:{(29,1),(30,1),(34,1)}
       41:{1,5}:{(31,1),(32,1)}
       42:{2,5}:{(31,1),(33,1)}
       43:{1,2,4,6}:{(32,1),(33,1),(34,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       44:{3}:{(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(41,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(42,1),(52,1)}
       48:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(53,1),(54,1),(60,1)}
       49:{1,2,5}:{(41,1),(42,1),(43,1),(55,1),(62,1)}
       50:{3,6}:{(43,1),(44,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,7}:{(48,1),(50,1)}
       55:{3,5}:{(49,1),(50,1),(58,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(55,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

1181 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(16,1),(17,1),(20,1),(21,1),(36,1),(68,1),(95,1),(96,1),(103,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(118,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(18,1),(19,1),(20,1),(130,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(15,1),(68,1),(97,1),(129,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(26,1),(27,1),(28,1)}
         5:{3,5,7}:{(2,1),(3,1),(9,1),(136,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(58,1),(62,1),(84,1),(92,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(58,1),(62,1),(83,1),(91,1),(111,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(34,1),(35,1),(36,1),(65,1),(102,1)}
         9:{3,5,6}:{(4,1),(5,1),(15,1)}
        10:{3,4,5,7}:{(5,1),(15,1),(18,1),(19,1),(45,1),(97,1),(106,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1),(45,1),(109,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(45,1),(108,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(41,1),(46,1),(107,1)}
        14:{3,5,6,7}:{(8,1),(9,1),(22,1),(82,1),(117,1)}
        15:{3,4,6}:{(9,1),(10,1),(26,1),(27,1),(58,1)}
        16:{1,3,5,6}:{(9,1),(11,1),(26,1),(28,1),(58,1)}
        17:{2,3,5,6}:{(9,1),(12,1),(27,1),(28,1),(58,1)}
        18:{1,4,5,7}:{(10,1),(11,1),(26,1),(112,1),(120,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(27,1),(111,1),(119,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(28,1),(121,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(58,1),(83,1),(84,1),(90,1)}
        22:{3,4,6,7}:{(14,1),(15,1),(33,1),(34,1),(35,1),(68,1),(97,1),(125,1)}
        23:{1,3,5,6,7}:{(14,1),(16,1),(34,1),(36,1),(63,1),(68,1),(96,1),(128,1)}
        24:{2,3,5,6,7}:{(14,1),(17,1),(35,1),(36,1),(64,1),(68,1),(95,1),(127,1)}
        25:{3,4,5,6}:{(15,1),(33,1),(37,1),(38,1),(72,1),(106,1),(125,1)}
        26:{1,4,6}:{(15,1),(16,1),(18,1)}
        27:{2,4,6}:{(15,1),(17,1),(19,1)}
        28:{1,2,5,6}:{(16,1),(17,1),(20,1),(41,1)}
        29:{1,3,4,5,7}:{(18,1),(39,1),(43,1),(45,1),(63,1),(79,1),(97,1),(106,1),(109,1),(124,1),(137,1)}
        30:{2,3,4,5,7}:{(19,1),(40,1),(44,1),(45,1),(64,1),(78,1),(97,1),(106,1),(108,1),(123,1),(137,1)}
        31:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(41,1),(45,1),(46,1),(76,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(42,1),(45,1),(46,1),(95,1),(96,1)}
        33:{3,4,5,7}:{(22,1),(25,1),(47,1),(48,1),(82,1)}
        34:{1,4,6,7}:{(22,1),(23,1),(26,1),(47,1),(112,1),(134,1)}
        35:{2,4,6,7}:{(22,1),(24,1),(27,1),(48,1),(111,1),(133,1)}
        36:{1,2,5,6,7}:{(23,1),(24,1),(28,1),(51,1),(80,1),(81,1),(135,1)}
        37:{1,4,5,6}:{(25,1),(26,1),(47,1),(53,1),(120,1),(134,1)}
        38:{2,4,5,6}:{(25,1),(27,1),(48,1),(54,1),(119,1),(133,1)}
        39:{1,3,4,6}:{(26,1),(29,1),(53,1),(56,1),(58,1),(89,1),(134,1),(139,1)}
        40:{2,3,4,6}:{(27,1),(30,1),(54,1),(57,1),(58,1),(89,1),(133,1),(139,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(58,1)}
        42:{1,2,3,5,6}:{(28,1),(32,1),(58,1),(59,1),(87,1),(88,1),(90,1),(93,1),(121,1)}
        43:{1,2,4,5,7}:{(29,1),(56,1),(60,1),(80,1),(94,1),(111,1),(119,1),(121,1)}
        44:{1,2,4,5,7}:{(30,1),(57,1),(61,1),(81,1),(94,1),(112,1),(120,1),(121,1)}
        45:{3,5,7}:{(31,1),(58,1),(62,1),(93,1)}
        46:{1,2,4,7}:{(32,1),(59,1),(62,1),(111,1),(112,1)}
        47:{1,4,5,7}:{(33,1),(34,1),(37,1),(63,1)}
        48:{2,4,5,7}:{(33,1),(35,1),(38,1),(64,1)}
        49:{1,3,4,6,7}:{(34,1),(39,1),(63,1),(66,1),(68,1),(97,1)}
        50:{2,3,4,6,7}:{(35,1),(40,1),(64,1),(67,1),(68,1),(97,1)}
        51:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(41,1),(65,1),(68,1),(138,1)}
        52:{1,2,3,5,6,7}:{(36,1),(42,1),(68,1),(69,1),(95,1),(96,1),(98,1),(101,1),(126,1),(127,1),(128,1)}
        53:{1,3,5,6}:{(37,1),(39,1),(63,1),(70,1),(72,1),(109,1)}
        54:{2,3,5,6}:{(38,1),(40,1),(64,1),(71,1),(72,1),(108,1)}
        55:{1,2,4,5,6}:{(37,1),(38,1),(41,1),(65,1),(70,1),(71,1),(72,1),(76,1),(104,1),(105,1),(130,1),(138,1)}
        56:{1,2,4,6}:{(39,1),(43,1),(70,1),(73,1),(104,1)}
        57:{1,2,4,6}:{(40,1),(44,1),(71,1),(74,1),(105,1)}
        58:{3,6}:{(41,1),(45,1)}
        59:{1,2,4,6}:{(42,1),(46,1),(75,1),(76,1),(104,1),(105,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(73,1),(78,1),(108,1),(137,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(74,1),(79,1),(109,1),(137,1)}
        62:{3,4,7}:{(45,1),(46,1),(75,1)}
        63:{1,3,5,7}:{(47,1),(49,1),(53,1),(80,1),(82,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(54,1),(81,1),(82,1)}
        65:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(55,1),(80,1),(81,1),(82,1),(111,1),(112,1)}
        66:{1,2,4,6,7}:{(49,1),(56,1),(80,1),(83,1),(111,1)}
        67:{1,2,4,6,7}:{(50,1),(57,1),(81,1),(84,1),(112,1)}
        68:{3,6,7}:{(51,1),(58,1),(82,1),(139,1)}
        69:{1,2,4,6,7}:{(52,1),(59,1),(85,1),(86,1),(111,1),(112,1),(133,1),(134,1)}
        70:{1,2,5,6}:{(53,1),(56,1),(80,1),(87,1),(121,1)}
        71:{1,2,5,6}:{(54,1),(57,1),(81,1),(88,1),(121,1)}
        72:{3,5,6}:{(55,1),(58,1),(82,1),(89,1),(93,1),(136,1),(139,1)}
        73:{2,3,6}:{(56,1),(58,1),(60,1),(139,1)}
        74:{1,3,6}:{(57,1),(58,1),(61,1),(139,1)}
        75:{3,4,6}:{(58,1),(59,1),(62,1),(93,1)}
        76:{1,2,4,5}:{(59,1),(93,1),(119,1),(120,1),(121,1)}
        77:{1,2,3,5,7}:{(60,1),(61,1),(90,1),(94,1),(121,1)}
        78:{2,3,4,7}:{(60,1),(62,1),(91,1),(94,1),(111,1),(131,1)}
        79:{1,3,4,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(131,1)}
        80:{1,2,5,7}:{(63,1),(66,1),(70,1),(95,1)}
        81:{1,2,5,7}:{(64,1),(67,1),(71,1),(96,1)}
        82:{3,5,7}:{(65,1),(68,1),(72,1),(97,1)}
        83:{2,3,6,7}:{(66,1),(68,1),(73,1),(95,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(74,1),(96,1)}
        85:{3,4,6,7}:{(68,1),(69,1),(75,1),(97,1),(101,1),(125,1)}
        86:{1,2,4,5,7}:{(69,1),(76,1),(101,1),(102,1),(123,1),(124,1),(126,1)}
        87:{2,3,5,6}:{(70,1),(72,1),(73,1),(95,1),(104,1),(108,1)}
        88:{1,3,5,6}:{(71,1),(72,1),(74,1),(96,1),(105,1),(109,1)}
        89:{3,4,6}:{(72,1),(97,1),(104,1),(105,1),(106,1)}
        90:{1,2,3,6}:{(73,1),(74,1),(77,1),(107,1)}
        91:{2,3,4,6}:{(73,1),(75,1),(78,1),(104,1),(107,1),(108,1),(129,1)}
        92:{1,3,4,6}:{(74,1),(75,1),(79,1),(105,1),(107,1),(109,1),(129,1)}
        93:{3,5}:{(75,1),(76,1)}
        94:{1,2,4,7}:{(77,1),(78,1),(79,1),(107,1)}
        95:{2,3,5,7}:{(80,1),(82,1),(83,1),(87,1),(111,1)}
        96:{1,3,5,7}:{(81,1),(82,1),(84,1),(88,1),(112,1)}
        97:{3,4,7}:{(82,1),(89,1),(111,1),(112,1)}
        98:{1,2,3,6,7}:{(83,1),(84,1),(90,1),(110,1),(114,1),(139,1)}
        99:{2,3,4,6,7}:{(83,1),(85,1),(91,1),(111,1),(114,1),(115,1),(131,1),(133,1),(139,1)}
       100:{1,3,4,6,7}:{(84,1),(85,1),(92,1),(112,1),(114,1),(116,1),(131,1),(134,1),(139,1)}
       101:{3,5,7}:{(85,1),(86,1),(93,1),(117,1)}
       102:{1,2,4,5,6}:{(86,1),(117,1),(133,1),(134,1),(135,1)}
       103:{1,2,3,5,6}:{(87,1),(88,1),(90,1),(110,1),(118,1),(121,1),(135,1),(136,1),(139,1)}
       104:{2,4,6}:{(87,1),(89,1),(111,1),(119,1)}
       105:{1,4,6}:{(88,1),(89,1),(112,1),(120,1)}
       106:{3,4,5}:{(89,1),(93,1),(119,1),(120,1),(136,1)}
       107:{1,2,4,6}:{(90,1),(91,1),(92,1),(94,1),(121,1)}
       108:{2,3,5}:{(91,1),(93,1),(119,1),(121,1),(136,1)}
       109:{1,3,5}:{(92,1),(93,1),(120,1),(121,1),(136,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(103,1),(122,1),(126,1),(137,1)}
       111:{2,4,7}:{(95,1),(97,1),(104,1)}
       112:{1,4,7}:{(96,1),(97,1),(105,1)}
       113:{3,4,5,7}:{(97,1),(101,1),(106,1),(123,1),(124,1),(125,1),(137,1)}
       114:{1,2,4,6,7}:{(98,1),(99,1),(100,1),(107,1),(122,1),(126,1),(138,1)}
       115:{2,3,5,7}:{(99,1),(101,1),(108,1),(123,1),(126,1),(127,1),(137,1)}
       116:{1,3,5,7}:{(100,1),(101,1),(109,1),(124,1),(126,1),(128,1),(137,1)}
       117:{3,5,6}:{(101,1),(102,1),(125,1)}
       118:{1,2,4,6}:{(103,1),(104,1),(105,1),(122,1),(129,1),(130,1)}
       119:{2,4,5}:{(104,1),(106,1),(108,1)}
       120:{1,4,5}:{(105,1),(106,1),(109,1)}
       121:{1,2,5}:{(107,1),(108,1),(109,1)}
       122:{1,2,4,7}:{(110,1),(111,1),(112,1),(118,1),(131,1)}
       123:{2,4,5,7}:{(111,1),(113,1),(115,1),(119,1),(133,1)}
       124:{1,4,5,7}:{(112,1),(113,1),(116,1),(120,1),(134,1)}
       125:{3,4,6}:{(113,1),(117,1),(133,1),(134,1),(139,1)}
       126:{1,2,5,7}:{(114,1),(115,1),(116,1),(121,1),(135,1)}
       127:{2,3,5,6}:{(115,1),(117,1),(133,1),(135,1),(139,1)}
       128:{1,3,5,6}:{(116,1),(117,1),(134,1),(135,1),(139,1)}
       129:{3,4,6}:{(118,1),(131,1),(136,1),(139,1)}
       130:{1,2,4,5}:{(118,1),(119,1),(120,1),(121,1),(136,1)}
       131:{3,4,7}:{(122,1),(129,1),(137,1)}
       132:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(126,1),(130,1),(137,1),(138,1)}
       133:{2,4,6}:{(123,1),(125,1),(127,1)}
       134:{1,4,6}:{(124,1),(125,1),(128,1)}
       135:{1,2,5,6}:{(126,1),(127,1),(128,1),(138,1)}
       136:{3,5}:{(129,1),(130,1)}
       137:{3,5,7}:{(131,1),(132,1),(136,1),(139,1)}
       138:{1,2,4,6}:{(132,1),(133,1),(134,1),(135,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1182 :   0:{1,2,3,6}:{(3,1),(4,1),(5,1),(63,1),(123,1)}
         1:{2,3,4,6}:{(3,1),(6,1),(7,1),(23,1),(26,1),(30,1),(63,1),(73,1)}
         2:{1,3,4,6}:{(3,1),(8,1),(9,1),(23,1),(31,1),(35,1),(63,1),(73,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(2,1),(10,1),(11,1),(12,1),(42,1)}
         4:{1,2,3,5}:{(0,1),(10,1),(12,1),(40,1),(97,1),(102,1)}
         5:{1,2,3,7}:{(0,1),(11,1),(95,1),(149,1),(230,1)}
         6:{2,3,5}:{(1,1),(10,1),(15,1),(40,1),(106,1)}
         7:{2,3,4,7}:{(1,1),(11,1),(16,1),(45,1),(48,1),(95,1),(223,1)}
         8:{1,3,5}:{(2,1),(10,1),(18,1),(40,1),(106,1)}
         9:{1,3,4,7}:{(2,1),(11,1),(19,1),(45,1),(54,1),(95,1),(222,1)}
        10:{1,2,5}:{(3,1),(6,1),(8,1)}
        11:{1,2,4,7}:{(3,1),(5,1),(7,1),(9,1),(22,1),(228,1)}
        12:{1,2,4}:{(4,1),(23,1)}
        13:{1,2,3,5,7}:{(4,1),(5,1),(22,1),(24,1),(25,1),(68,1),(74,1),(128,1),(132,1),(178,1)}
        14:{2,3,5,6}:{(6,1),(20,1),(26,1),(27,1),(30,1),(59,1),(63,1),(80,1),(131,1)}
        15:{2,4,5}:{(6,1),(26,1),(28,1),(136,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(22,1),(29,1),(30,1),(68,1),(212,1),(226,1)}
        17:{1,3,5,6}:{(8,1),(20,1),(31,1),(32,1),(35,1),(61,1),(63,1),(86,1),(131,1)}
        18:{1,4,5}:{(8,1),(31,1),(33,1),(136,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(22,1),(34,1),(35,1),(68,1),(211,1),(225,1)}
        20:{1,2,5,6}:{(10,1),(14,1),(17,1),(38,1),(39,1),(42,1),(87,1),(90,1)}
        21:{1,2,4,5}:{(10,1),(12,1),(15,1),(18,1),(38,1),(40,1),(50,1),(56,1),(97,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(16,1),(19,1),(42,1),(224,1),(229,1)}
        23:{3,4}:{(12,1),(40,1)}
        24:{1,2,4,7}:{(12,1),(13,1),(45,1),(46,1),(194,1)}
        25:{1,2,3,6}:{(13,1),(42,1),(46,1),(100,1),(153,1)}
        26:{2,4,6}:{(14,1),(15,1),(47,1),(48,1),(156,1)}
        27:{2,3,5,7}:{(14,1),(39,1),(48,1),(49,1),(88,1),(95,1),(109,1),(152,1)}
        28:{3,4,5}:{(15,1),(40,1),(47,1),(50,1)}
        29:{2,4,5,7}:{(15,1),(16,1),(48,1),(51,1),(52,1),(109,1),(196,1),(218,1)}
        30:{2,3,6}:{(16,1),(42,1),(52,1),(100,1)}
        31:{1,4,6}:{(17,1),(18,1),(53,1),(54,1),(156,1)}
        32:{1,3,5,7}:{(17,1),(39,1),(54,1),(55,1),(91,1),(95,1),(114,1),(152,1)}
        33:{3,4,5}:{(18,1),(40,1),(53,1),(56,1)}
        34:{1,4,5,7}:{(18,1),(19,1),(54,1),(57,1),(58,1),(114,1),(197,1),(219,1)}
        35:{1,3,6}:{(19,1),(42,1),(58,1),(100,1)}
        36:{2,4,5,6}:{(26,1),(59,1),(60,1),(80,1),(140,1)}
        37:{1,4,5,6}:{(31,1),(61,1),(62,1),(86,1),(144,1)}
        38:{1,2,4,6}:{(20,1),(21,1),(26,1),(31,1),(63,1),(64,1),(75,1),(81,1),(123,1)}
        39:{1,2,5,7}:{(20,1),(27,1),(32,1),(64,1),(65,1),(117,1),(120,1)}
        40:{3,5}:{(21,1),(23,1),(63,1)}
        41:{1,2,4,5,7}:{(21,1),(22,1),(24,1),(29,1),(34,1),(64,1),(68,1),(69,1),(74,1),(78,1),(84,1),(127,1),(128,1),(136,1),(174,1),(179,1),(204,1)}
        42:{1,2,6}:{(22,1),(30,1),(35,1)}
        43:{1,3,4}:{(23,1),(66,1),(70,1)}
        44:{2,3,4}:{(23,1),(67,1),(70,1)}
        45:{3,4,7}:{(23,1),(24,1),(68,1),(73,1),(174,1),(210,1)}
        46:{1,2,4,6}:{(24,1),(25,1),(73,1),(74,1)}
        47:{3,4,6}:{(26,1),(28,1),(59,1),(63,1),(75,1),(76,1)}
        48:{2,4,7}:{(26,1),(27,1),(76,1),(174,1)}
        49:{2,3,6,7}:{(27,1),(30,1),(65,1),(77,1),(118,1),(126,1),(226,1)}
        50:{1,4,5}:{(28,1),(66,1),(75,1)}
        51:{3,4,5,7}:{(28,1),(29,1),(68,1),(76,1),(78,1),(79,1),(136,1),(138,1),(174,1),(180,1),(205,1)}
        52:{2,4,6}:{(29,1),(30,1),(79,1),(80,1)}
        53:{3,4,6}:{(31,1),(33,1),(61,1),(63,1),(81,1),(82,1)}
        54:{1,4,7}:{(31,1),(32,1),(82,1),(174,1)}
        55:{1,3,6,7}:{(32,1),(35,1),(65,1),(83,1),(121,1),(126,1),(225,1)}
        56:{2,4,5}:{(33,1),(67,1),(81,1)}
        57:{3,4,5,7}:{(33,1),(34,1),(68,1),(82,1),(84,1),(85,1),(136,1),(142,1),(174,1),(181,1),(206,1)}
        58:{1,4,6}:{(34,1),(35,1),(85,1),(86,1)}
        59:{3,5,6}:{(36,1),(47,1),(87,1),(88,1)}
        60:{2,4,5,7}:{(36,1),(48,1),(88,1),(89,1),(109,1),(162,1)}
        61:{3,5,6}:{(37,1),(53,1),(90,1),(91,1)}
        62:{1,4,5,7}:{(37,1),(54,1),(91,1),(92,1),(114,1),(165,1)}
        63:{3,6}:{(38,1),(40,1),(95,1)}
        64:{1,2,4,7}:{(38,1),(39,1),(48,1),(54,1),(95,1),(107,1),(112,1),(149,1)}
        65:{1,2,6,7}:{(39,1),(42,1),(49,1),(55,1),(145,1),(147,1),(229,1)}
        66:{1,3,5}:{(40,1),(43,1),(50,1),(93,1),(97,1)}
        67:{2,3,5}:{(40,1),(44,1),(56,1),(94,1),(97,1)}
        68:{3,5,7}:{(40,1),(41,1),(45,1),(95,1),(100,1),(106,1),(195,1),(217,1)}
        69:{1,2,4,6}:{(41,1),(42,1),(52,1),(58,1),(100,1),(101,1),(110,1),(115,1),(153,1),(156,1)}
        70:{1,2,4}:{(43,1),(44,1),(97,1),(102,1)}
        71:{1,3,4,7}:{(43,1),(45,1),(98,1),(103,1),(104,1),(189,1),(217,1)}
        72:{2,3,4,7}:{(44,1),(45,1),(99,1),(103,1),(105,1),(190,1),(217,1)}
        73:{3,4,6}:{(45,1),(46,1),(100,1),(106,1),(156,1)}
        74:{1,2,5}:{(46,1),(106,1)}
        75:{1,4,6}:{(47,1),(50,1),(87,1),(93,1),(107,1)}
        76:{3,4,7}:{(47,1),(48,1),(88,1),(95,1),(107,1)}
        77:{2,4,6,7}:{(48,1),(49,1),(52,1),(108,1),(109,1),(215,1),(218,1)}
        78:{1,4,5,7}:{(50,1),(51,1),(98,1),(107,1),(110,1),(159,1),(161,1),(189,1)}
        79:{3,4,6}:{(51,1),(52,1),(100,1),(110,1),(111,1),(156,1)}
        80:{2,5,6}:{(52,1),(109,1),(111,1)}
        81:{2,4,6}:{(53,1),(56,1),(90,1),(94,1),(112,1)}
        82:{3,4,7}:{(53,1),(54,1),(91,1),(95,1),(112,1)}
        83:{1,4,6,7}:{(54,1),(55,1),(58,1),(113,1),(114,1),(216,1),(219,1)}
        84:{2,4,5,7}:{(56,1),(57,1),(99,1),(112,1),(115,1),(160,1),(164,1),(190,1)}
        85:{3,4,6}:{(57,1),(58,1),(100,1),(115,1),(116,1),(156,1)}
        86:{1,5,6}:{(58,1),(114,1),(116,1)}
        87:{1,5,6}:{(59,1),(75,1),(117,1)}
        88:{3,5,7}:{(59,1),(60,1),(76,1),(117,1),(118,1)}
        89:{2,4,6,7}:{(60,1),(118,1),(119,1),(168,1)}
        90:{2,5,6}:{(61,1),(81,1),(120,1)}
        91:{3,5,7}:{(61,1),(62,1),(82,1),(120,1),(121,1)}
        92:{1,4,6,7}:{(62,1),(121,1),(122,1),(170,1)}
        93:{1,3,6}:{(63,1),(66,1),(75,1),(123,1),(124,1)}
        94:{2,3,6}:{(63,1),(67,1),(81,1),(123,1),(125,1)}
        95:{3,7}:{(63,1),(64,1)}
        96:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(77,1),(83,1),(126,1),(127,1),(137,1),(141,1),(171,1),(174,1),(204,1)}
        97:{1,2,5}:{(66,1),(67,1),(70,1),(123,1)}
        98:{1,3,5,7}:{(66,1),(68,1),(71,1),(78,1),(124,1),(128,1),(129,1),(134,1)}
        99:{2,3,5,7}:{(67,1),(68,1),(72,1),(84,1),(125,1),(128,1),(130,1),(135,1)}
       100:{3,6}:{(68,1),(69,1)}
       101:{1,2,5,6}:{(69,1),(74,1),(80,1),(86,1),(127,1),(131,1),(139,1),(143,1)}
       102:{1,2,3}:{(70,1)}
       103:{1,2,4,7}:{(70,1),(71,1),(72,1),(128,1),(132,1),(133,1)}
       104:{1,3,4,6}:{(71,1),(73,1),(129,1),(133,1),(134,1),(176,1),(207,1),(210,1)}
       105:{2,3,4,6}:{(72,1),(73,1),(130,1),(133,1),(135,1),(177,1),(207,1),(210,1)}
       106:{3,5}:{(73,1),(74,1),(136,1)}
       107:{1,4,7}:{(75,1),(76,1),(117,1),(124,1)}
       108:{3,4,6,7}:{(76,1),(77,1),(79,1),(118,1),(126,1),(137,1),(138,1),(168,1),(174,1),(202,1),(205,1)}
       109:{2,5,7}:{(77,1),(80,1),(138,1)}
       110:{1,4,6}:{(78,1),(79,1),(129,1),(139,1)}
       111:{3,5,6}:{(79,1),(80,1),(138,1),(139,1),(140,1)}
       112:{2,4,7}:{(81,1),(82,1),(120,1),(125,1)}
       113:{3,4,6,7}:{(82,1),(83,1),(85,1),(121,1),(126,1),(141,1),(142,1),(170,1),(174,1),(203,1),(206,1)}
       114:{1,5,7}:{(83,1),(86,1),(142,1)}
       115:{2,4,6}:{(84,1),(85,1),(130,1),(143,1)}
       116:{3,5,6}:{(85,1),(86,1),(142,1),(143,1),(144,1)}
       117:{1,5,7}:{(87,1),(88,1),(107,1),(145,1)}
       118:{3,6,7}:{(88,1),(89,1),(145,1)}
       119:{2,5,6,7}:{(89,1),(109,1),(146,1),(215,1)}
       120:{2,5,7}:{(90,1),(91,1),(112,1),(147,1)}
       121:{3,6,7}:{(91,1),(92,1),(147,1)}
       122:{1,5,6,7}:{(92,1),(114,1),(148,1),(216,1)}
       123:{1,2,6}:{(93,1),(94,1),(97,1),(149,1)}
       124:{1,3,7}:{(93,1),(95,1),(107,1),(149,1)}
       125:{2,3,7}:{(94,1),(95,1),(112,1),(149,1)}
       126:{3,6,7}:{(95,1),(96,1),(100,1),(152,1),(217,1)}
       127:{1,2,5,7}:{(96,1),(101,1),(109,1),(114,1),(152,1),(161,1),(164,1)}
       128:{1,2,5,7}:{(97,1),(98,1),(99,1),(103,1),(149,1),(153,1),(158,1)}
       129:{1,3,6}:{(98,1),(100,1),(110,1),(153,1)}
       130:{2,3,6}:{(99,1),(100,1),(115,1),(153,1)}
       131:{3,5,6}:{(100,1),(101,1),(106,1),(152,1),(156,1)}
       132:{1,2,3,7}:{(102,1),(103,1),(157,1),(217,1),(229,1)}
       133:{1,2,4,6}:{(103,1),(104,1),(105,1),(153,1),(157,1),(158,1),(194,1)}
       134:{1,3,5}:{(104,1),(106,1),(158,1),(159,1),(195,1)}
       135:{2,3,5}:{(105,1),(106,1),(158,1),(160,1),(195,1)}
       136:{4,5}:{(106,1),(156,1)}
       137:{1,4,6,7}:{(107,1),(108,1),(110,1),(145,1),(150,1),(161,1),(189,1)}
       138:{3,5,7}:{(108,1),(109,1),(111,1),(161,1),(162,1)}
       139:{1,5,6}:{(110,1),(111,1),(161,1)}
       140:{4,5,6}:{(111,1),(156,1),(162,1)}
       141:{2,4,6,7}:{(112,1),(113,1),(115,1),(147,1),(151,1),(164,1),(190,1)}
       142:{3,5,7}:{(113,1),(114,1),(116,1),(164,1),(165,1)}
       143:{2,5,6}:{(115,1),(116,1),(164,1)}
       144:{4,5,6}:{(116,1),(156,1),(165,1)}
       145:{1,6,7}:{(117,1),(118,1)}
       146:{3,5,6,7}:{(118,1),(119,1),(138,1),(167,1),(168,1),(202,1)}
       147:{2,6,7}:{(120,1),(121,1)}
       148:{3,5,6,7}:{(121,1),(122,1),(142,1),(169,1),(170,1),(203,1)}
       149:{1,2,7}:{(123,1),(124,1),(125,1)}
       150:{1,3,6,7}:{(124,1),(126,1),(129,1),(137,1),(171,1),(172,1),(202,1)}
       151:{2,3,6,7}:{(125,1),(126,1),(130,1),(141,1),(171,1),(173,1),(203,1)}
       152:{3,5,7}:{(126,1),(127,1),(131,1),(174,1)}
       153:{1,2,6}:{(128,1),(129,1),(130,1)}
       154:{1,3,5,6}:{(129,1),(131,1),(134,1),(139,1),(172,1),(175,1),(176,1),(183,1),(207,1)}
       155:{2,3,5,6}:{(130,1),(131,1),(135,1),(143,1),(173,1),(175,1),(177,1),(185,1),(207,1)}
       156:{4,6}:{(131,1),(136,1),(174,1)}
       157:{1,2,3,6}:{(132,1),(133,1),(178,1),(207,1),(227,1)}
       158:{1,2,5}:{(133,1),(134,1),(135,1)}
       159:{1,4,5}:{(134,1),(136,1),(176,1),(180,1)}
       160:{2,4,5}:{(135,1),(136,1),(177,1),(181,1)}
       161:{1,5,7}:{(137,1),(138,1),(139,1)}
       162:{4,5,7}:{(138,1),(140,1),(168,1),(174,1)}
       163:{1,4,5,6}:{(139,1),(140,1),(176,1),(182,1),(183,1)}
       164:{2,5,7}:{(141,1),(142,1),(143,1)}
       165:{4,5,7}:{(142,1),(144,1),(170,1),(174,1)}
       166:{2,4,5,6}:{(143,1),(144,1),(177,1),(184,1),(185,1)}
       167:{1,5,6,7}:{(145,1),(146,1),(161,1),(186,1)}
       168:{4,6,7}:{(146,1),(162,1)}
       169:{2,5,6,7}:{(147,1),(148,1),(164,1),(187,1)}
       170:{4,6,7}:{(148,1),(165,1)}
       171:{1,2,6,7}:{(149,1),(150,1),(151,1),(153,1),(188,1),(215,1),(216,1)}
       172:{1,3,5,7}:{(150,1),(152,1),(154,1),(161,1),(188,1),(189,1),(198,1),(217,1)}
       173:{2,3,5,7}:{(151,1),(152,1),(155,1),(164,1),(188,1),(190,1),(200,1),(217,1)}
       174:{4,7}:{(152,1),(156,1)}
       175:{1,2,5,6}:{(153,1),(154,1),(155,1),(158,1),(188,1),(191,1),(199,1),(201,1)}
       176:{1,4,6}:{(154,1),(156,1),(159,1),(189,1),(192,1)}
       177:{2,4,6}:{(155,1),(156,1),(160,1),(190,1),(193,1)}
       178:{1,2,3,5}:{(157,1),(158,1),(194,1),(195,1),(224,1),(230,1)}
       179:{1,2,4,5}:{(158,1),(159,1),(160,1),(191,1),(194,1),(195,1),(196,1),(197,1),(224,1)}
       180:{3,4,5}:{(159,1),(192,1),(195,1),(196,1)}
       181:{3,4,5}:{(160,1),(193,1),(195,1),(197,1)}
       182:{1,4,5,7}:{(161,1),(162,1),(163,1),(186,1),(189,1),(198,1)}
       183:{3,5,6}:{(163,1),(192,1),(198,1),(199,1)}
       184:{2,4,5,7}:{(164,1),(165,1),(166,1),(187,1),(190,1),(200,1)}
       185:{3,5,6}:{(166,1),(193,1),(200,1),(201,1)}
       186:{1,4,6,7}:{(167,1),(168,1),(182,1),(202,1)}
       187:{2,4,6,7}:{(169,1),(170,1),(184,1),(203,1)}
       188:{1,2,5,7}:{(171,1),(172,1),(173,1),(175,1),(204,1),(213,1),(214,1)}
       189:{1,4,7}:{(172,1),(174,1),(176,1),(205,1)}
       190:{2,4,7}:{(173,1),(174,1),(177,1),(206,1)}
       191:{1,2,4,6}:{(175,1),(176,1),(177,1),(179,1),(204,1),(207,1),(208,1),(209,1),(227,1)}
       192:{3,4,6}:{(176,1),(180,1),(183,1),(205,1),(207,1),(208,1)}
       193:{3,4,6}:{(177,1),(181,1),(185,1),(206,1),(207,1),(209,1)}
       194:{1,2,4}:{(178,1),(210,1)}
       195:{3,5}:{(179,1),(207,1),(210,1)}
       196:{2,4,5}:{(180,1),(208,1),(212,1)}
       197:{1,4,5}:{(181,1),(209,1),(211,1)}
       198:{3,5,7}:{(182,1),(183,1),(202,1),(205,1),(213,1)}
       199:{2,5,6}:{(183,1),(208,1),(213,1)}
       200:{3,5,7}:{(184,1),(185,1),(203,1),(206,1),(214,1)}
       201:{1,5,6}:{(185,1),(209,1),(214,1)}
       202:{3,6,7}:{(186,1),(198,1),(215,1)}
       203:{3,6,7}:{(187,1),(200,1),(216,1)}
       204:{1,2,4,7}:{(188,1),(189,1),(190,1),(191,1),(217,1),(218,1),(219,1),(229,1)}
       205:{3,4,7}:{(189,1),(192,1),(198,1),(217,1),(218,1)}
       206:{3,4,7}:{(190,1),(193,1),(200,1),(217,1),(219,1)}
       207:{3,6}:{(191,1),(195,1),(217,1)}
       208:{2,4,6}:{(192,1),(196,1),(199,1),(218,1),(221,1)}
       209:{1,4,6}:{(193,1),(197,1),(201,1),(219,1),(220,1)}
       210:{3,4}:{(194,1),(195,1)}
       211:{1,3,5}:{(195,1),(197,1),(220,1),(222,1),(224,1)}
       212:{2,3,5}:{(195,1),(196,1),(221,1),(223,1),(224,1)}
       213:{2,5,7}:{(198,1),(199,1),(215,1),(218,1)}
       214:{1,5,7}:{(200,1),(201,1),(216,1),(219,1)}
       215:{2,6,7}:{(202,1),(213,1)}
       216:{1,6,7}:{(203,1),(214,1)}
       217:{3,7}:{(204,1),(207,1)}
       218:{2,4,7}:{(205,1),(208,1),(213,1),(226,1)}
       219:{1,4,7}:{(206,1),(209,1),(214,1),(225,1)}
       220:{1,3,6}:{(207,1),(209,1),(211,1),(225,1),(227,1)}
       221:{2,3,6}:{(207,1),(208,1),(212,1),(226,1),(227,1)}
       222:{1,3,4}:{(210,1),(211,1),(228,1)}
       223:{2,3,4}:{(210,1),(212,1),(228,1)}
       224:{1,2,5}:{(211,1),(212,1),(227,1),(228,1)}
       225:{1,3,7}:{(217,1),(219,1),(220,1),(229,1)}
       226:{2,3,7}:{(217,1),(218,1),(221,1),(229,1)}
       227:{1,2,6}:{(220,1),(221,1),(224,1),(229,1)}
       228:{1,2,4}:{(222,1),(223,1),(224,1),(230,1)}
       229:{1,2,7}:{(225,1),(226,1),(227,1)}
       230:{1,2,3}:{(228,1)}

1183 :   0:{1,3,5,7}:{(4,1),(5,1),(6,1),(11,1),(31,1),(35,1),(66,1)}
         1:{2,3,5,7}:{(4,1),(7,1),(8,1),(9,1),(31,1),(38,1),(66,1)}
         2:{2,4,5,7}:{(7,1),(9,1),(10,1),(28,1),(38,1),(60,1),(70,1)}
         3:{1,4,5,7}:{(5,1),(11,1),(12,1),(30,1),(35,1),(62,1),(68,1)}
         4:{1,2,5,7}:{(0,1),(1,1),(15,1),(16,1),(21,1),(24,1),(50,1)}
         5:{1,4,7}:{(0,1),(17,1),(18,1),(78,1),(93,1)}
         6:{1,3,6}:{(0,1),(16,1),(18,1),(25,1),(49,1),(102,1)}
         7:{2,4,7}:{(1,1),(19,1),(20,1),(78,1),(92,1)}
         8:{2,3,6}:{(1,1),(16,1),(20,1),(22,1),(49,1),(103,1)}
         9:{3,5,7}:{(2,1),(19,1),(21,1),(22,1),(54,1)}
        10:{2,4,6}:{(2,1),(22,1),(23,1),(56,1)}
        11:{3,5,7}:{(3,1),(17,1),(24,1),(25,1),(52,1)}
        12:{1,4,6}:{(3,1),(25,1),(26,1),(58,1)}
        13:{2,4,6,7}:{(10,1),(27,1),(28,1),(60,1)}
        14:{1,4,6,7}:{(12,1),(29,1),(30,1),(62,1)}
        15:{1,2,4,7}:{(4,1),(5,1),(7,1),(31,1),(32,1),(33,1),(36,1),(63,1)}
        16:{1,2,6}:{(4,1),(6,1),(8,1),(39,1),(41,1),(104,1)}
        17:{3,4,7}:{(5,1),(11,1),(31,1),(33,1),(34,1),(62,1),(84,1)}
        18:{1,4,6}:{(5,1),(6,1),(34,1),(35,1),(91,1),(101,1)}
        19:{3,4,7}:{(7,1),(9,1),(31,1),(36,1),(37,1),(60,1),(83,1)}
        20:{2,4,6}:{(7,1),(8,1),(37,1),(38,1),(90,1),(100,1)}
        21:{1,5,7}:{(9,1),(36,1),(39,1),(69,1)}
        22:{3,6}:{(9,1),(10,1),(39,1)}
        23:{2,5,6}:{(10,1),(28,1),(38,1),(40,1),(90,1)}
        24:{2,5,7}:{(11,1),(33,1),(41,1),(67,1)}
        25:{3,6}:{(11,1),(12,1),(41,1)}
        26:{1,5,6}:{(12,1),(30,1),(35,1),(42,1),(91,1)}
        27:{3,6,7}:{(13,1),(22,1),(43,1),(44,1)}
        28:{2,5,7}:{(13,1),(23,1),(44,1),(92,1)}
        29:{3,6,7}:{(14,1),(25,1),(45,1),(46,1)}
        30:{1,5,7}:{(14,1),(26,1),(46,1),(93,1)}
        31:{3,7}:{(15,1),(49,1)}
        32:{1,2,4,6}:{(15,1),(16,1),(18,1),(20,1),(49,1),(50,1),(51,1),(53,1),(75,1),(78,1),(94,1)}
        33:{2,4,7}:{(17,1),(24,1),(48,1),(51,1)}
        34:{3,4,6}:{(17,1),(18,1),(25,1),(49,1),(51,1),(52,1),(58,1),(78,1),(82,1),(96,1)}
        35:{1,5}:{(18,1),(52,1)}
        36:{1,4,7}:{(19,1),(21,1),(47,1),(53,1)}
        37:{3,4,6}:{(19,1),(20,1),(22,1),(49,1),(53,1),(54,1),(56,1),(78,1),(81,1),(95,1)}
        38:{2,5}:{(20,1),(54,1)}
        39:{1,6}:{(21,1),(22,1)}
        40:{3,5,6}:{(22,1),(23,1),(44,1),(54,1),(55,1),(56,1),(81,1)}
        41:{2,6}:{(24,1),(25,1)}
        42:{3,5,6}:{(25,1),(26,1),(46,1),(52,1),(57,1),(58,1),(82,1)}
        43:{1,6,7}:{(27,1),(39,1),(59,1)}
        44:{3,5,7}:{(27,1),(28,1),(40,1),(59,1),(60,1),(83,1)}
        45:{2,6,7}:{(29,1),(41,1),(61,1)}
        46:{3,5,7}:{(29,1),(30,1),(42,1),(61,1),(62,1),(84,1)}
        47:{1,3,7}:{(31,1),(36,1),(63,1),(64,1),(83,1)}
        48:{2,3,7}:{(31,1),(33,1),(63,1),(65,1),(84,1)}
        49:{3,6}:{(31,1),(32,1),(66,1),(99,1)}
        50:{1,2,5}:{(32,1),(35,1),(38,1),(66,1),(67,1),(69,1)}
        51:{2,4,6}:{(33,1),(34,1),(41,1),(65,1),(67,1),(87,1)}
        52:{3,5}:{(34,1),(35,1),(67,1),(68,1)}
        53:{1,4,6}:{(36,1),(37,1),(39,1),(64,1),(69,1),(86,1)}
        54:{3,5}:{(37,1),(38,1),(69,1),(70,1)}
        55:{1,5,6}:{(39,1),(40,1),(59,1),(69,1),(71,1)}
        56:{4,6}:{(40,1),(60,1),(70,1)}
        57:{2,5,6}:{(41,1),(42,1),(61,1),(67,1),(72,1)}
        58:{4,6}:{(42,1),(62,1),(68,1)}
        59:{1,5,7}:{(43,1),(44,1),(55,1),(73,1)}
        60:{4,7}:{(44,1),(56,1)}
        61:{2,5,7}:{(45,1),(46,1),(57,1),(74,1)}
        62:{4,7}:{(46,1),(58,1)}
        63:{1,2,7}:{(47,1),(48,1),(75,1),(92,1),(93,1)}
        64:{1,3,6}:{(47,1),(49,1),(53,1),(75,1),(76,1),(81,1)}
        65:{2,3,6}:{(48,1),(49,1),(51,1),(75,1),(77,1),(82,1)}
        66:{3,5}:{(49,1),(50,1),(78,1)}
        67:{2,5}:{(51,1),(52,1)}
        68:{4,5}:{(52,1),(58,1),(78,1)}
        69:{1,5}:{(53,1),(54,1)}
        70:{4,5}:{(54,1),(56,1),(78,1)}
        71:{1,4,6}:{(55,1),(56,1),(73,1),(80,1),(81,1)}
        72:{2,4,6}:{(57,1),(58,1),(74,1),(79,1),(82,1)}
        73:{1,4,7}:{(59,1),(60,1),(71,1),(83,1)}
        74:{2,4,7}:{(61,1),(62,1),(72,1),(84,1)}
        75:{1,2,6}:{(63,1),(64,1),(65,1),(85,1),(90,1),(91,1)}
        76:{1,3,5}:{(64,1),(66,1),(69,1),(85,1),(86,1),(89,1),(99,1)}
        77:{2,3,5}:{(65,1),(66,1),(67,1),(85,1),(87,1),(88,1),(99,1)}
        78:{4}:{(66,1)}
        79:{2,4,5}:{(67,1),(68,1),(72,1),(87,1),(88,1)}
        80:{1,4,5}:{(69,1),(70,1),(71,1),(86,1),(89,1)}
        81:{3,6}:{(71,1),(83,1),(89,1),(90,1)}
        82:{3,6}:{(72,1),(84,1),(88,1),(91,1)}
        83:{3,7}:{(73,1),(81,1),(92,1)}
        84:{3,7}:{(74,1),(82,1),(93,1)}
        85:{1,2,5}:{(75,1),(76,1),(77,1),(94,1),(97,1),(98,1)}
        86:{1,4}:{(76,1),(78,1),(95,1)}
        87:{2,4}:{(77,1),(78,1),(96,1)}
        88:{3,5}:{(79,1),(82,1),(96,1),(97,1)}
        89:{3,5}:{(80,1),(81,1),(95,1),(98,1)}
        90:{2,6}:{(81,1),(92,1),(98,1)}
        91:{1,6}:{(82,1),(93,1),(97,1)}
        92:{2,7}:{(83,1),(90,1)}
        93:{1,7}:{(84,1),(91,1)}
        94:{1,2,4}:{(85,1),(86,1),(87,1),(99,1),(100,1),(101,1),(104,1)}
        95:{3,4}:{(86,1),(89,1),(99,1),(100,1)}
        96:{3,4}:{(87,1),(88,1),(99,1),(101,1)}
        97:{1,5}:{(88,1),(91,1),(101,1)}
        98:{2,5}:{(89,1),(90,1),(100,1)}
        99:{3}:{(94,1)}
       100:{2,4}:{(95,1),(98,1),(103,1)}
       101:{1,4}:{(96,1),(97,1),(102,1)}
       102:{1,3}:{(99,1),(101,1),(104,1)}
       103:{2,3}:{(99,1),(100,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

1184 :   0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(25,1),(29,1),(31,1),(52,1),(58,1),(79,1),(86,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(38,1),(69,1),(96,1),(102,1)}
         2:{1,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(74,1),(101,1)}
         3:{1,3,5,6}:{(2,1),(8,1),(9,1),(27,1),(29,1)}
         4:{2,3,6,7}:{(1,1),(10,1),(29,1),(111,1),(115,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(114,1)}
         6:{1,4,5,7}:{(2,1),(9,1),(12,1),(79,1),(87,1)}
         7:{1,3,5,6,7}:{(3,1),(13,1),(14,1),(35,1),(37,1),(63,1),(123,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(40,1),(74,1)}
         9:{1,4,6}:{(3,1),(6,1),(18,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(125,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(45,1),(47,1),(74,1),(96,1),(103,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(49,1),(81,1),(83,1),(112,1)}
        14:{1,4,6,7}:{(7,1),(9,1),(22,1),(25,1),(79,1),(131,1)}
        15:{1,4,5,6}:{(9,1),(22,1),(27,1)}
        16:{2,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(27,1),(29,1),(30,1)}
        19:{2,4,7}:{(10,1),(28,1),(31,1),(132,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(111,1),(116,1)}
        21:{2,4,5,7}:{(12,1),(30,1),(33,1),(49,1),(80,1),(88,1)}
        22:{1,4,5,7}:{(14,1),(15,1),(35,1),(136,1)}
        23:{2,3,5,6,7}:{(13,1),(16,1),(36,1),(37,1),(64,1),(66,1),(98,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(36,1),(37,1),(38,1),(67,1),(69,1),(96,1),(121,1)}
        25:{3,4,6,7}:{(14,1),(18,1),(35,1),(37,1),(38,1),(62,1),(135,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(39,1),(40,1),(41,1),(65,1),(71,1),(72,1),(73,1),(74,1),(97,1),(103,1),(121,1),(136,1),(139,1)}
        27:{3,5,6}:{(15,1),(18,1),(35,1),(40,1)}
        28:{2,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{2,4,6}:{(18,1),(21,1),(40,1),(44,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(45,1),(126,1)}
        32:{1,3,5,7}:{(20,1),(43,1),(45,1),(47,1),(74,1),(77,1),(105,1)}
        33:{2,3,5,7}:{(20,1),(21,1),(44,1),(46,1),(47,1),(75,1)}
        34:{1,2,4,5,7}:{(22,1),(24,1),(26,1),(48,1),(49,1),(50,1),(79,1),(80,1),(81,1),(83,1)}
        35:{3,5,7}:{(22,1),(25,1),(27,1),(49,1),(138,1)}
        36:{2,4,6,7}:{(23,1),(28,1),(50,1),(51,1),(80,1),(109,1)}
        37:{3,6,7}:{(24,1),(29,1),(48,1),(111,1),(129,1)}
        38:{2,4,6,7}:{(25,1),(30,1),(49,1),(53,1),(80,1),(137,1)}
        39:{3,5,6}:{(26,1),(29,1),(48,1),(54,1),(57,1),(116,1),(129,1),(138,1)}
        40:{2,5,6}:{(27,1),(30,1),(49,1)}
        41:{2,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(58,1)}
        43:{1,3,6}:{(29,1),(32,1),(58,1),(60,1)}
        44:{2,3,6}:{(29,1),(30,1),(33,1),(60,1)}
        45:{1,4,7}:{(31,1),(32,1),(58,1),(117,1)}
        46:{2,3,4,7}:{(31,1),(33,1),(59,1),(61,1),(80,1),(111,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(37,1),(39,1),(62,1)}
        49:{2,5,7}:{(35,1),(38,1),(40,1),(139,1)}
        50:{2,4,5,7}:{(36,1),(41,1),(65,1),(66,1)}
        51:{3,4,6,7}:{(36,1),(37,1),(42,1),(62,1),(66,1),(67,1),(93,1)}
        52:{1,3,6,7}:{(37,1),(43,1),(63,1),(67,1),(69,1),(118,1)}
        53:{2,3,6,7}:{(37,1),(38,1),(44,1),(64,1),(69,1),(133,1)}
        54:{3,4,6}:{(39,1),(62,1),(70,1),(71,1),(72,1),(104,1),(126,1)}
        55:{1,3,5,6}:{(39,1),(43,1),(63,1),(71,1),(73,1),(74,1),(97,1),(101,1),(104,1),(105,1),(118,1)}
        56:{2,3,5,6}:{(39,1),(40,1),(44,1),(64,1),(72,1),(73,1),(75,1),(104,1),(125,1),(133,1),(139,1)}
        57:{3,5}:{(41,1),(42,1),(74,1)}
        58:{1,4,6}:{(42,1),(43,1),(45,1),(74,1)}
        59:{2,3,4,6}:{(42,1),(44,1),(46,1),(72,1),(75,1),(76,1),(104,1),(126,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(54,1),(79,1),(80,1),(111,1)}
        63:{1,3,5,7}:{(48,1),(52,1),(55,1),(79,1),(81,1),(83,1),(111,1)}
        64:{2,3,5,7}:{(48,1),(49,1),(53,1),(56,1),(80,1),(81,1),(111,1)}
        65:{2,4,5,6}:{(50,1),(82,1),(109,1)}
        66:{3,5,7}:{(50,1),(51,1),(57,1),(82,1),(83,1)}
        67:{1,4,6,7}:{(51,1),(52,1),(58,1),(79,1),(83,1),(108,1)}
        68:{2,3,4,6,7}:{(51,1),(53,1),(59,1),(80,1),(84,1),(85,1),(109,1),(111,1),(129,1),(130,1),(137,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(60,1),(81,1),(127,1)}
        70:{3,4,5}:{(54,1),(57,1),(87,1),(88,1),(116,1),(138,1)}
        71:{1,4,6}:{(54,1),(55,1),(79,1),(87,1),(117,1)}
        72:{2,4,6}:{(54,1),(56,1),(80,1),(88,1),(132,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(60,1),(81,1),(89,1),(90,1),(114,1),(127,1)}
        74:{1,5}:{(57,1),(58,1)}
        75:{2,3,5}:{(57,1),(59,1),(88,1),(90,1),(116,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{1,3,7}:{(61,1),(91,1),(111,1)}
        78:{3,4,5,7}:{(62,1),(66,1),(70,1),(93,1),(94,1),(95,1),(122,1)}
        79:{1,4,7}:{(62,1),(63,1),(71,1)}
        80:{2,4,7}:{(62,1),(64,1),(72,1)}
        81:{1,2,5,7}:{(63,1),(64,1),(69,1),(73,1),(96,1)}
        82:{3,5,6}:{(65,1),(66,1),(93,1),(97,1)}
        83:{1,5,7}:{(66,1),(67,1),(74,1),(97,1)}
        84:{2,3,5,7}:{(66,1),(68,1),(75,1),(95,1),(98,1),(99,1),(122,1),(139,1)}
        85:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(96,1),(99,1),(100,1),(121,1),(124,1)}
        86:{1,3,4,6}:{(71,1),(92,1),(101,1),(102,1),(104,1),(118,1),(126,1),(135,1)}
        87:{1,4,5}:{(70,1),(71,1),(74,1),(101,1)}
        88:{2,4,5}:{(70,1),(72,1),(75,1),(139,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(73,1),(96,1),(103,1),(104,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{1,3,6}:{(76,1),(77,1),(104,1),(105,1)}
        92:{1,3,4,7}:{(79,1),(86,1),(106,1),(107,1),(111,1),(130,1)}
        93:{3,4,6}:{(78,1),(82,1),(108,1),(109,1),(129,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(106,1),(108,1)}
        95:{2,4,5,7}:{(78,1),(80,1),(84,1),(88,1),(109,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(89,1),(111,1)}
        97:{1,5,6}:{(82,1),(83,1),(108,1)}
        98:{2,3,5,6}:{(82,1),(84,1),(109,1),(112,1),(129,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(85,1),(90,1),(112,1),(113,1)}
       100:{1,3,6,7}:{(85,1),(91,1),(111,1),(113,1),(129,1)}
       101:{1,3,5}:{(86,1),(87,1),(114,1),(116,1),(138,1)}
       102:{1,2,4,6}:{(86,1),(107,1),(114,1),(115,1),(127,1),(132,1),(137,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(89,1),(90,1),(114,1),(116,1),(117,1),(132,1)}
       104:{3,6}:{(89,1),(111,1),(116,1)}
       105:{1,3,5}:{(90,1),(91,1),(116,1),(117,1)}
       106:{1,3,5,7}:{(92,1),(94,1),(101,1),(118,1),(119,1),(122,1)}
       107:{1,2,4,7}:{(92,1),(102,1),(119,1),(120,1),(134,1)}
       108:{1,4,6}:{(93,1),(94,1),(97,1),(118,1)}
       109:{2,4,6}:{(93,1),(95,1),(98,1)}
       110:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(103,1),(119,1),(121,1),(122,1),(124,1),(134,1),(136,1),(139,1)}
       111:{3,7}:{(96,1),(104,1)}
       112:{1,2,5,6}:{(97,1),(98,1),(99,1),(121,1),(123,1),(139,1)}
       113:{1,3,5,7}:{(99,1),(100,1),(105,1),(122,1),(123,1),(124,1)}
       114:{1,2,5}:{(101,1),(102,1),(125,1),(139,1)}
       115:{2,3,6}:{(102,1),(104,1),(120,1),(125,1)}
       116:{3,5}:{(103,1),(104,1),(126,1)}
       117:{1,4}:{(105,1),(126,1)}
       118:{1,3,6}:{(106,1),(108,1),(127,1),(129,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(114,1),(127,1),(128,1)}
       120:{2,3,7}:{(107,1),(111,1),(115,1)}
       121:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1),(131,1),(137,1)}
       122:{3,5,7}:{(110,1),(111,1),(116,1),(129,1),(130,1),(138,1)}
       123:{1,3,5,6}:{(112,1),(113,1),(129,1),(131,1),(138,1)}
       124:{1,4,7}:{(113,1),(117,1),(130,1),(131,1)}
       125:{2,3,5}:{(114,1),(115,1),(116,1),(132,1)}
       126:{3,4}:{(116,1),(117,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{2,3,5,7}:{(119,1),(120,1),(122,1),(125,1),(133,1),(134,1),(139,1)}
       129:{3,6}:{(121,1),(122,1)}
       130:{3,4,7}:{(122,1),(124,1),(126,1),(134,1),(135,1)}
       131:{1,4,6}:{(123,1),(124,1),(135,1),(136,1)}
       132:{2,4}:{(125,1),(126,1)}
       133:{2,3,6}:{(127,1),(128,1),(129,1),(137,1)}
       134:{2,4,7}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,4,6}:{(129,1),(130,1),(131,1),(137,1),(138,1)}
       136:{1,4,5}:{(131,1),(138,1)}
       137:{2,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1185 :   0:{2,3,4,6,7}:{(1,1),(2,1),(9,1),(25,1),(29,1),(31,1),(53,1),(59,1),(80,1),(86,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(38,1),(69,1),(96,1),(102,1)}
         2:{2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(75,1),(101,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(9,1),(27,1),(29,1)}
         4:{1,3,6,7}:{(1,1),(10,1),(29,1),(111,1),(115,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(114,1)}
         6:{2,4,5,7}:{(2,1),(9,1),(12,1),(80,1),(88,1)}
         7:{2,3,5,6,7}:{(3,1),(13,1),(14,1),(35,1),(37,1),(64,1),(123,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(40,1),(75,1)}
         9:{2,4,6}:{(3,1),(6,1),(18,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(125,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(46,1),(47,1),(75,1),(96,1),(103,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(49,1),(81,1),(84,1),(112,1)}
        14:{2,4,6,7}:{(7,1),(9,1),(22,1),(25,1),(80,1),(131,1)}
        15:{2,4,5,6}:{(9,1),(22,1),(27,1)}
        16:{1,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(59,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(27,1),(29,1),(30,1)}
        19:{1,4,7}:{(10,1),(28,1),(31,1),(132,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(111,1),(116,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(32,1),(49,1),(79,1),(87,1)}
        22:{2,4,5,7}:{(14,1),(15,1),(35,1),(136,1)}
        23:{1,3,5,6,7}:{(13,1),(16,1),(36,1),(37,1),(63,1),(66,1),(97,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(36,1),(37,1),(38,1),(68,1),(69,1),(96,1),(121,1)}
        25:{3,4,6,7}:{(14,1),(18,1),(35,1),(37,1),(38,1),(62,1),(135,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(39,1),(40,1),(41,1),(65,1),(71,1),(72,1),(73,1),(75,1),(98,1),(103,1),(121,1),(136,1),(139,1)}
        27:{3,5,6}:{(15,1),(18,1),(35,1),(40,1)}
        28:{1,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{1,4,6}:{(18,1),(21,1),(40,1),(43,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(46,1),(126,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(47,1),(74,1)}
        33:{2,3,5,7}:{(20,1),(44,1),(46,1),(47,1),(75,1),(77,1),(105,1)}
        34:{1,2,4,5,7}:{(22,1),(24,1),(26,1),(48,1),(49,1),(50,1),(79,1),(80,1),(81,1),(84,1)}
        35:{3,5,7}:{(22,1),(25,1),(27,1),(49,1),(138,1)}
        36:{1,4,6,7}:{(23,1),(28,1),(50,1),(51,1),(79,1),(108,1)}
        37:{3,6,7}:{(24,1),(29,1),(48,1),(111,1),(129,1)}
        38:{1,4,6,7}:{(25,1),(30,1),(49,1),(52,1),(79,1),(137,1)}
        39:{3,5,6}:{(26,1),(29,1),(48,1),(54,1),(57,1),(116,1),(129,1),(138,1)}
        40:{1,5,6}:{(27,1),(30,1),(49,1)}
        41:{1,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(59,1)}
        43:{1,3,6}:{(29,1),(30,1),(32,1),(60,1)}
        44:{2,3,6}:{(29,1),(33,1),(59,1),(60,1)}
        45:{1,3,4,7}:{(31,1),(32,1),(58,1),(61,1),(79,1),(111,1)}
        46:{2,4,7}:{(31,1),(33,1),(59,1),(117,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(37,1),(39,1),(62,1)}
        49:{1,5,7}:{(35,1),(38,1),(40,1),(139,1)}
        50:{1,4,5,7}:{(36,1),(41,1),(65,1),(66,1)}
        51:{3,4,6,7}:{(36,1),(37,1),(42,1),(62,1),(66,1),(68,1),(93,1)}
        52:{1,3,6,7}:{(37,1),(38,1),(43,1),(63,1),(69,1),(133,1)}
        53:{2,3,6,7}:{(37,1),(44,1),(64,1),(68,1),(69,1),(118,1)}
        54:{3,4,6}:{(39,1),(62,1),(70,1),(71,1),(72,1),(104,1),(126,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(63,1),(71,1),(73,1),(74,1),(104,1),(125,1),(133,1),(139,1)}
        56:{2,3,5,6}:{(39,1),(44,1),(64,1),(72,1),(73,1),(75,1),(98,1),(101,1),(104,1),(105,1),(118,1)}
        57:{3,5}:{(41,1),(42,1),(75,1)}
        58:{1,3,4,6}:{(42,1),(43,1),(45,1),(71,1),(74,1),(76,1),(104,1),(126,1)}
        59:{2,4,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(54,1),(79,1),(80,1),(111,1)}
        63:{1,3,5,7}:{(48,1),(49,1),(52,1),(55,1),(79,1),(81,1),(111,1)}
        64:{2,3,5,7}:{(48,1),(53,1),(56,1),(80,1),(81,1),(84,1),(111,1)}
        65:{1,4,5,6}:{(50,1),(82,1),(108,1)}
        66:{3,5,7}:{(50,1),(51,1),(57,1),(82,1),(84,1)}
        67:{1,3,4,6,7}:{(51,1),(52,1),(58,1),(79,1),(83,1),(85,1),(108,1),(111,1),(129,1),(130,1),(137,1)}
        68:{2,4,6,7}:{(51,1),(53,1),(59,1),(80,1),(84,1),(109,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(60,1),(81,1),(127,1)}
        70:{3,4,5}:{(54,1),(57,1),(87,1),(88,1),(116,1),(138,1)}
        71:{1,4,6}:{(54,1),(55,1),(79,1),(87,1),(132,1)}
        72:{2,4,6}:{(54,1),(56,1),(80,1),(88,1),(117,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(60,1),(81,1),(89,1),(90,1),(114,1),(127,1)}
        74:{1,3,5}:{(57,1),(58,1),(87,1),(90,1),(116,1)}
        75:{2,5}:{(57,1),(59,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{2,3,7}:{(61,1),(91,1),(111,1)}
        78:{3,4,5,7}:{(62,1),(66,1),(70,1),(93,1),(94,1),(95,1),(122,1)}
        79:{1,4,7}:{(62,1),(63,1),(71,1)}
        80:{2,4,7}:{(62,1),(64,1),(72,1)}
        81:{1,2,5,7}:{(63,1),(64,1),(69,1),(73,1),(96,1)}
        82:{3,5,6}:{(65,1),(66,1),(93,1),(98,1)}
        83:{1,3,5,7}:{(66,1),(67,1),(74,1),(94,1),(97,1),(99,1),(122,1),(139,1)}
        84:{2,5,7}:{(66,1),(68,1),(75,1),(98,1)}
        85:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(96,1),(99,1),(100,1),(121,1),(124,1)}
        86:{2,3,4,6}:{(72,1),(92,1),(101,1),(102,1),(104,1),(118,1),(126,1),(135,1)}
        87:{1,4,5}:{(70,1),(71,1),(74,1),(139,1)}
        88:{2,4,5}:{(70,1),(72,1),(75,1),(101,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(73,1),(96,1),(103,1),(104,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{2,3,6}:{(76,1),(77,1),(104,1),(105,1)}
        92:{2,3,4,7}:{(80,1),(86,1),(106,1),(107,1),(111,1),(130,1)}
        93:{3,4,6}:{(78,1),(82,1),(108,1),(109,1),(129,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(108,1)}
        95:{2,4,5,7}:{(78,1),(80,1),(84,1),(88,1),(106,1),(109,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(89,1),(111,1)}
        97:{1,3,5,6}:{(82,1),(83,1),(108,1),(112,1),(129,1)}
        98:{2,5,6}:{(82,1),(84,1),(109,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(85,1),(90,1),(112,1),(113,1)}
       100:{2,3,6,7}:{(85,1),(91,1),(111,1),(113,1),(129,1)}
       101:{2,3,5}:{(86,1),(88,1),(114,1),(116,1),(138,1)}
       102:{1,2,4,6}:{(86,1),(107,1),(114,1),(115,1),(127,1),(132,1),(137,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(89,1),(90,1),(114,1),(116,1),(117,1),(132,1)}
       104:{3,6}:{(89,1),(111,1),(116,1)}
       105:{2,3,5}:{(90,1),(91,1),(116,1),(117,1)}
       106:{2,3,5,7}:{(92,1),(95,1),(101,1),(118,1),(119,1),(122,1)}
       107:{1,2,4,7}:{(92,1),(102,1),(119,1),(120,1),(134,1)}
       108:{1,4,6}:{(93,1),(94,1),(97,1)}
       109:{2,4,6}:{(93,1),(95,1),(98,1),(118,1)}
       110:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(103,1),(119,1),(121,1),(122,1),(124,1),(134,1),(136,1),(139,1)}
       111:{3,7}:{(96,1),(104,1)}
       112:{1,2,5,6}:{(97,1),(98,1),(99,1),(121,1),(123,1),(139,1)}
       113:{2,3,5,7}:{(99,1),(100,1),(105,1),(122,1),(123,1),(124,1)}
       114:{1,2,5}:{(101,1),(102,1),(125,1),(139,1)}
       115:{1,3,6}:{(102,1),(104,1),(120,1),(125,1)}
       116:{3,5}:{(103,1),(104,1),(126,1)}
       117:{2,4}:{(105,1),(126,1)}
       118:{2,3,6}:{(106,1),(109,1),(127,1),(129,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(114,1),(127,1),(128,1)}
       120:{1,3,7}:{(107,1),(111,1),(115,1)}
       121:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1),(131,1),(137,1)}
       122:{3,5,7}:{(110,1),(111,1),(116,1),(129,1),(130,1),(138,1)}
       123:{2,3,5,6}:{(112,1),(113,1),(129,1),(131,1),(138,1)}
       124:{2,4,7}:{(113,1),(117,1),(130,1),(131,1)}
       125:{1,3,5}:{(114,1),(115,1),(116,1),(132,1)}
       126:{3,4}:{(116,1),(117,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{1,3,5,7}:{(119,1),(120,1),(122,1),(125,1),(133,1),(134,1),(139,1)}
       129:{3,6}:{(121,1),(122,1)}
       130:{3,4,7}:{(122,1),(124,1),(126,1),(134,1),(135,1)}
       131:{2,4,6}:{(123,1),(124,1),(135,1),(136,1)}
       132:{1,4}:{(125,1),(126,1)}
       133:{1,3,6}:{(127,1),(128,1),(129,1),(137,1)}
       134:{1,4,7}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,4,6}:{(129,1),(130,1),(131,1),(137,1),(138,1)}
       136:{2,4,5}:{(131,1),(138,1)}
       137:{1,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

1186 :   0:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(27,1),(29,1),(53,1),(66,1)}
         1:{2,3,5,6,7}:{(4,1),(6,1),(17,1),(28,1),(29,1),(50,1),(67,1)}
         2:{1,3,4,6,7}:{(7,1),(8,1),(14,1),(33,1),(48,1),(70,1),(78,1),(84,1),(107,1),(111,1),(119,1)}
         3:{2,3,4,6,7}:{(9,1),(10,1),(15,1),(35,1),(49,1),(73,1),(81,1),(85,1),(108,1),(112,1),(119,1)}
         4:{1,2,5,6,7}:{(0,1),(1,1),(13,1),(32,1),(34,1),(46,1),(47,1),(86,1)}
         5:{1,4,6,7}:{(0,1),(11,1),(14,1),(33,1),(72,1),(84,1)}
         6:{2,4,6,7}:{(1,1),(12,1),(15,1),(35,1),(69,1),(85,1)}
         7:{1,2,4,6,7}:{(2,1),(20,1),(21,1),(30,1),(51,1),(59,1),(68,1),(105,1),(125,1)}
         8:{1,3,5,7}:{(2,1),(16,1),(21,1),(22,1),(27,1),(60,1),(120,1),(123,1)}
         9:{1,2,4,6,7}:{(3,1),(23,1),(24,1),(31,1),(54,1),(62,1),(68,1),(105,1),(122,1)}
        10:{2,3,5,7}:{(3,1),(17,1),(24,1),(25,1),(28,1),(63,1),(121,1),(124,1)}
        11:{1,4,5,7}:{(5,1),(18,1),(27,1),(91,1)}
        12:{2,4,5,7}:{(6,1),(19,1),(28,1),(87,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(26,1),(29,1),(30,1),(31,1),(51,1),(54,1),(68,1),(105,1)}
        14:{3,4,6,7}:{(5,1),(27,1),(29,1),(30,1),(52,1),(65,1),(92,1)}
        15:{3,4,6,7}:{(6,1),(28,1),(29,1),(31,1),(55,1),(65,1),(88,1)}
        16:{1,3,5,6}:{(8,1),(32,1),(33,1),(37,1),(70,1)}
        17:{2,3,5,6}:{(10,1),(34,1),(35,1),(38,1),(73,1)}
        18:{1,4,5,6}:{(11,1),(33,1),(37,1)}
        19:{2,4,5,6}:{(12,1),(35,1),(38,1)}
        20:{2,3,6,7}:{(7,1),(39,1),(70,1),(119,1),(133,1)}
        21:{1,2,5,7}:{(7,1),(8,1),(32,1),(39,1),(46,1),(132,1)}
        22:{1,4,5,7}:{(8,1),(33,1),(41,1),(84,1),(114,1)}
        23:{1,3,6,7}:{(9,1),(42,1),(73,1),(119,1),(131,1)}
        24:{1,2,5,7}:{(9,1),(10,1),(34,1),(42,1),(47,1),(130,1)}
        25:{2,4,5,7}:{(10,1),(35,1),(44,1),(85,1),(115,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(36,1),(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        27:{3,5,7}:{(11,1),(14,1),(37,1),(46,1),(110,1)}
        28:{3,5,7}:{(12,1),(15,1),(38,1),(47,1),(106,1)}
        29:{3,6,7}:{(13,1),(45,1),(70,1),(73,1),(119,1)}
        30:{2,4,6,7}:{(14,1),(46,1),(49,1),(71,1),(85,1),(112,1)}
        31:{1,4,6,7}:{(15,1),(47,1),(48,1),(74,1),(84,1),(107,1)}
        32:{1,2,5,6}:{(16,1),(21,1),(50,1),(51,1),(57,1),(120,1)}
        33:{1,4,6}:{(16,1),(22,1),(52,1)}
        34:{1,2,5,6}:{(17,1),(24,1),(53,1),(54,1),(58,1),(124,1)}
        35:{2,4,6}:{(17,1),(25,1),(55,1)}
        36:{1,2,4,5,6}:{(18,1),(19,1),(26,1),(51,1),(54,1),(56,1),(57,1),(58,1),(87,1),(91,1),(96,1),(97,1),(98,1),(120,1),(124,1),(126,1)}
        37:{3,5,6}:{(18,1),(27,1),(52,1),(57,1)}
        38:{3,5,6}:{(19,1),(28,1),(55,1),(58,1)}
        39:{2,3,5,7}:{(20,1),(21,1),(50,1),(59,1),(60,1),(136,1)}
        40:{1,2,4,5,7}:{(21,1),(22,1),(51,1),(59,1),(60,1),(61,1),(87,1),(99,1),(101,1),(105,1),(120,1),(126,1)}
        41:{3,4,5,7}:{(22,1),(27,1),(52,1),(60,1),(61,1),(65,1),(95,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(53,1),(62,1),(63,1),(135,1)}
        43:{1,2,4,5,7}:{(24,1),(25,1),(54,1),(62,1),(63,1),(64,1),(91,1),(103,1),(104,1),(105,1),(124,1),(126,1)}
        44:{3,4,5,7}:{(25,1),(28,1),(55,1),(63,1),(64,1),(65,1),(95,1)}
        45:{3,5,7}:{(26,1),(29,1),(56,1),(65,1)}
        46:{2,5,7}:{(27,1),(30,1),(57,1),(124,1)}
        47:{1,5,7}:{(28,1),(31,1),(58,1),(120,1)}
        48:{1,3,6,7}:{(29,1),(31,1),(66,1),(68,1),(89,1),(93,1)}
        49:{2,3,6,7}:{(29,1),(30,1),(67,1),(68,1),(90,1),(94,1)}
        50:{2,3,5,6}:{(32,1),(39,1),(69,1),(70,1),(106,1)}
        51:{1,2,4,6}:{(32,1),(33,1),(40,1),(69,1),(70,1),(71,1),(107,1),(109,1)}
        52:{3,4,6}:{(33,1),(37,1),(41,1),(70,1),(71,1)}
        53:{1,3,5,6}:{(34,1),(42,1),(72,1),(73,1),(110,1)}
        54:{1,2,4,6}:{(34,1),(35,1),(43,1),(72,1),(73,1),(74,1),(112,1),(113,1)}
        55:{3,4,6}:{(35,1),(38,1),(44,1),(73,1),(74,1)}
        56:{3,5,6}:{(36,1),(45,1),(70,1),(73,1),(75,1),(106,1),(110,1),(134,1)}
        57:{2,5,6}:{(37,1),(46,1),(71,1)}
        58:{1,5,6}:{(38,1),(47,1),(74,1)}
        59:{2,4,7}:{(39,1),(69,1),(78,1),(139,1)}
        60:{3,5,7}:{(40,1),(70,1),(78,1),(106,1),(119,1),(134,1)}
        61:{2,4,5,7}:{(41,1),(46,1),(71,1),(80,1),(85,1),(115,1)}
        62:{1,4,7}:{(42,1),(72,1),(81,1),(138,1)}
        63:{3,5,7}:{(43,1),(73,1),(81,1),(110,1),(119,1),(134,1)}
        64:{1,4,5,7}:{(44,1),(47,1),(74,1),(82,1),(84,1),(114,1)}
        65:{3,4,7}:{(45,1),(75,1),(84,1),(85,1),(119,1)}
        66:{1,3,5,7}:{(45,1),(47,1),(48,1),(76,1),(84,1),(86,1),(119,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(49,1),(77,1),(85,1),(86,1),(119,1)}
        68:{1,2,6,7}:{(48,1),(49,1),(86,1),(109,1),(113,1)}
        69:{2,4,6}:{(50,1),(59,1),(87,1),(88,1)}
        70:{3,6}:{(51,1),(60,1)}
        71:{2,4,6}:{(52,1),(57,1),(61,1),(90,1)}
        72:{1,4,6}:{(53,1),(62,1),(91,1),(92,1)}
        73:{3,6}:{(54,1),(63,1)}
        74:{1,4,6}:{(55,1),(58,1),(64,1),(93,1)}
        75:{3,4,6}:{(56,1),(65,1),(95,1),(96,1),(97,1),(127,1),(137,1)}
        76:{1,3,5,6}:{(56,1),(58,1),(66,1),(89,1),(93,1),(96,1),(98,1),(120,1),(123,1),(127,1),(135,1)}
        77:{2,3,5,6}:{(56,1),(57,1),(67,1),(90,1),(94,1),(97,1),(98,1),(121,1),(124,1),(127,1),(136,1)}
        78:{3,4,7}:{(59,1),(60,1),(88,1),(99,1),(137,1)}
        79:{1,3,5,7}:{(60,1),(89,1),(99,1),(101,1),(120,1),(128,1),(135,1)}
        80:{2,3,5,7}:{(60,1),(61,1),(90,1),(100,1),(101,1),(121,1)}
        81:{3,4,7}:{(62,1),(63,1),(92,1),(103,1),(137,1)}
        82:{1,3,5,7}:{(63,1),(64,1),(93,1),(102,1),(104,1),(123,1)}
        83:{2,3,5,7}:{(63,1),(94,1),(103,1),(104,1),(124,1),(129,1),(136,1)}
        84:{1,4,7}:{(65,1),(66,1),(96,1)}
        85:{2,4,7}:{(65,1),(67,1),(97,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(98,1),(105,1)}
        87:{2,4,5}:{(69,1),(106,1)}
        88:{3,4,6}:{(69,1),(70,1),(78,1),(106,1),(107,1)}
        89:{1,3,6}:{(70,1),(79,1),(107,1),(109,1)}
        90:{2,3,6}:{(70,1),(71,1),(80,1),(109,1)}
        91:{1,4,5}:{(72,1),(110,1)}
        92:{3,4,6}:{(72,1),(73,1),(81,1),(110,1),(112,1)}
        93:{1,3,6}:{(73,1),(74,1),(82,1),(113,1)}
        94:{2,3,6}:{(73,1),(83,1),(112,1),(113,1)}
        95:{3,4,5}:{(75,1),(106,1),(110,1),(114,1),(115,1),(134,1)}
        96:{1,4,6}:{(75,1),(76,1),(84,1),(114,1),(138,1)}
        97:{2,4,6}:{(75,1),(77,1),(85,1),(115,1),(139,1)}
        98:{1,2,5,6}:{(76,1),(77,1),(86,1),(109,1),(113,1),(116,1),(130,1),(132,1)}
        99:{1,4,7}:{(78,1),(79,1),(107,1),(138,1)}
       100:{2,3,4,7}:{(78,1),(80,1),(85,1),(108,1),(117,1),(119,1)}
       101:{1,2,5,7}:{(79,1),(80,1),(109,1),(117,1),(130,1)}
       102:{1,3,4,7}:{(81,1),(82,1),(84,1),(111,1),(118,1),(119,1)}
       103:{2,4,7}:{(81,1),(83,1),(112,1),(139,1)}
       104:{1,2,5,7}:{(82,1),(83,1),(113,1),(118,1),(132,1)}
       105:{1,2,4,7}:{(84,1),(85,1),(86,1),(116,1),(119,1)}
       106:{3,5}:{(87,1),(88,1),(120,1)}
       107:{1,4,6}:{(88,1),(89,1),(99,1),(120,1)}
       108:{2,3,4,6}:{(88,1),(90,1),(97,1),(100,1),(121,1),(122,1),(127,1),(137,1)}
       109:{1,2,6}:{(89,1),(90,1),(101,1)}
       110:{3,5}:{(91,1),(92,1),(124,1)}
       111:{1,3,4,6}:{(92,1),(93,1),(96,1),(102,1),(123,1),(125,1),(127,1),(137,1)}
       112:{2,4,6}:{(92,1),(94,1),(103,1),(124,1)}
       113:{1,2,6}:{(93,1),(94,1),(104,1)}
       114:{1,4,5}:{(95,1),(96,1),(120,1),(123,1)}
       115:{2,4,5}:{(95,1),(97,1),(121,1),(124,1)}
       116:{1,2,4,6}:{(96,1),(97,1),(98,1),(105,1),(126,1),(127,1)}
       117:{1,2,4,7}:{(99,1),(100,1),(101,1),(122,1),(128,1)}
       118:{1,2,4,7}:{(102,1),(103,1),(104,1),(125,1),(129,1)}
       119:{3,7}:{(105,1),(127,1)}
       120:{1,5}:{(106,1),(107,1)}
       121:{2,3,5}:{(106,1),(108,1),(115,1),(130,1),(134,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(117,1),(130,1),(131,1),(138,1)}
       123:{1,3,5}:{(110,1),(111,1),(114,1),(132,1),(134,1)}
       124:{2,5}:{(110,1),(112,1)}
       125:{1,2,4,6}:{(111,1),(112,1),(113,1),(118,1),(132,1),(133,1),(139,1)}
       126:{1,2,4,5}:{(114,1),(115,1),(116,1),(130,1),(132,1),(134,1),(138,1),(139,1)}
       127:{3,6}:{(116,1),(119,1),(134,1)}
       128:{1,3,7}:{(117,1),(119,1),(131,1)}
       129:{2,3,7}:{(118,1),(119,1),(133,1)}
       130:{1,2,5}:{(120,1),(121,1),(122,1),(135,1)}
       131:{1,3,6}:{(122,1),(127,1),(128,1),(135,1)}
       132:{1,2,5}:{(123,1),(124,1),(125,1),(136,1)}
       133:{2,3,6}:{(125,1),(127,1),(129,1),(136,1)}
       134:{3,5}:{(126,1),(127,1),(137,1)}
       135:{1,3,5}:{(130,1),(131,1),(134,1),(138,1)}
       136:{2,3,5}:{(132,1),(133,1),(134,1),(139,1)}
       137:{3,4}:{(134,1),(138,1),(139,1)}
       138:{1,4}:{(135,1),(137,1)}
       139:{2,4}:{(136,1),(137,1)}

1187 :   0:{1,2,3,5,6}:{(1,1),(2,1),(7,1),(11,1),(36,1),(38,1),(40,1),(42,1),(44,1),(77,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(17,1),(24,1),(26,1),(56,1),(59,1),(61,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(51,1),(53,1)}
         3:{3,4,6}:{(2,1),(10,1),(11,1),(42,1)}
         4:{1,2,3,6,7}:{(1,1),(12,1),(42,1),(77,1),(79,1),(80,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(10,1),(72,1),(74,1)}
         6:{1,2,4,5}:{(2,1),(11,1),(31,1),(32,1),(36,1)}
         7:{1,2,3,6}:{(15,1),(17,1),(18,1),(85,1)}
         8:{2,3,4,6}:{(3,1),(18,1),(19,1),(20,1),(46,1),(51,1),(58,1),(83,1),(85,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(21,1),(22,1),(46,1),(53,1),(60,1),(83,1),(85,1)}
        10:{3,4,7}:{(3,1),(5,1),(24,1)}
        11:{3,5}:{(3,1),(6,1)}
        12:{1,2,4,6,7}:{(4,1),(5,1),(23,1),(26,1),(27,1),(90,1),(92,1)}
        13:{1,2,4,5,7}:{(5,1),(6,1),(24,1),(26,1),(27,1),(50,1),(52,1),(56,1),(62,1)}
        14:{1,2,4,5,6}:{(6,1),(25,1),(27,1),(28,1),(51,1),(53,1),(57,1),(89,1),(91,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(30,1),(36,1),(67,1)}
        16:{3,4,5}:{(11,1),(31,1),(32,1),(34,1),(67,1)}
        17:{1,2,3,7}:{(7,1),(35,1),(99,1)}
        18:{1,2,4,6}:{(7,1),(8,1),(9,1),(30,1),(35,1),(36,1),(77,1)}
        19:{2,3,4,7}:{(8,1),(10,1),(35,1),(37,1),(66,1),(72,1),(99,1)}
        20:{2,3,5}:{(8,1),(11,1),(31,1),(36,1),(67,1),(97,1)}
        21:{1,3,4,7}:{(9,1),(10,1),(35,1),(39,1),(66,1),(74,1),(99,1)}
        22:{1,3,5}:{(9,1),(11,1),(32,1),(36,1),(67,1),(97,1)}
        23:{3,4,6,7}:{(10,1),(12,1),(41,1),(42,1),(81,1)}
        24:{3,5,7}:{(10,1),(11,1),(13,1),(42,1)}
        25:{3,5,6}:{(11,1),(14,1),(34,1),(42,1),(43,1)}
        26:{1,2,5,7}:{(12,1),(41,1),(44,1),(102,1),(103,1)}
        27:{1,2,4,6}:{(13,1),(42,1),(44,1),(71,1),(73,1),(77,1),(81,1)}
        28:{1,2,4,5,7}:{(14,1),(43,1),(45,1),(72,1),(74,1),(78,1),(102,1),(103,1),(104,1)}
        29:{1,2,3,5,7}:{(15,1),(17,1),(47,1),(48,1),(56,1),(84,1),(86,1)}
        30:{1,2,4}:{(15,1),(46,1)}
        31:{2,4,5}:{(16,1),(20,1),(51,1),(105,1)}
        32:{1,4,5}:{(16,1),(22,1),(53,1),(105,1)}
        33:{3,4,5,7}:{(16,1),(24,1),(50,1),(52,1),(54,1),(55,1),(62,1),(84,1),(94,1),(105,1),(111,1)}
        34:{3,4,6}:{(16,1),(25,1),(51,1),(53,1),(55,1),(85,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(19,1),(21,1),(56,1)}
        36:{1,2,5}:{(18,1),(20,1),(22,1)}
        37:{2,3,5,7}:{(19,1),(20,1),(24,1),(50,1),(56,1),(58,1),(84,1)}
        38:{2,3,5,6}:{(20,1),(25,1),(51,1),(57,1),(58,1),(59,1),(85,1),(89,1),(106,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(24,1),(52,1),(56,1),(60,1),(84,1)}
        40:{1,3,5,6}:{(22,1),(25,1),(53,1),(57,1),(60,1),(61,1),(85,1),(91,1),(106,1)}
        41:{3,5,7}:{(23,1),(26,1),(62,1),(63,1)}
        42:{3,6}:{(24,1),(27,1)}
        43:{3,5,7}:{(25,1),(28,1),(55,1),(64,1)}
        44:{1,2,5,6}:{(26,1),(27,1),(63,1),(89,1),(91,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(64,1),(65,1),(90,1),(92,1),(95,1),(96,1)}
        46:{3,4}:{(30,1),(67,1)}
        47:{1,2,3,6}:{(29,1),(68,1),(77,1),(98,1)}
        48:{1,2,4,7}:{(29,1),(30,1),(66,1),(68,1)}
        49:{1,2,4,5}:{(30,1),(31,1),(32,1),(36,1),(67,1),(70,1)}
        50:{2,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(102,1)}
        51:{2,4,6}:{(31,1),(34,1),(38,1),(72,1),(109,1)}
        52:{1,4,5,7}:{(32,1),(33,1),(39,1),(73,1),(74,1),(103,1)}
        53:{1,4,6}:{(32,1),(34,1),(40,1),(74,1),(109,1)}
        54:{3,4,6}:{(33,1),(42,1),(71,1),(73,1),(75,1),(81,1),(98,1),(109,1)}
        55:{3,4,7}:{(34,1),(43,1),(72,1),(74,1),(99,1)}
        56:{1,2,5,7}:{(35,1),(36,1),(37,1),(39,1),(77,1)}
        57:{1,2,5,6}:{(36,1),(38,1),(40,1),(70,1),(77,1),(78,1)}
        58:{2,3,6}:{(37,1),(42,1),(71,1),(77,1),(98,1)}
        59:{2,3,5,7}:{(38,1),(43,1),(72,1),(78,1),(79,1),(99,1),(102,1),(110,1)}
        60:{1,3,6}:{(39,1),(42,1),(73,1),(77,1),(98,1)}
        61:{1,3,5,7}:{(40,1),(43,1),(74,1),(78,1),(80,1),(99,1),(103,1),(110,1)}
        62:{4,5,7}:{(41,1),(81,1)}
        63:{3,5,6}:{(41,1),(42,1),(44,1),(81,1)}
        64:{3,6,7}:{(42,1),(43,1),(45,1)}
        65:{1,2,5,6,7}:{(44,1),(45,1),(82,1),(102,1),(103,1)}
        66:{3,4,7}:{(46,1),(48,1),(83,1),(84,1),(111,1)}
        67:{3,5}:{(46,1),(49,1),(85,1)}
        68:{1,2,4,6}:{(47,1),(48,1),(83,1),(86,1)}
        69:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(52,1),(56,1),(84,1),(86,1),(87,1),(88,1),(105,1),(108,1),(111,1)}
        70:{1,2,4,6}:{(49,1),(51,1),(53,1),(57,1),(85,1),(88,1)}
        71:{2,4,6}:{(50,1),(54,1),(58,1),(89,1)}
        72:{2,4,7}:{(51,1),(55,1),(59,1),(111,1)}
        73:{1,4,6}:{(52,1),(54,1),(60,1),(91,1)}
        74:{1,4,7}:{(53,1),(55,1),(61,1),(111,1)}
        75:{3,5,6}:{(54,1),(89,1),(91,1),(93,1),(94,1)}
        76:{3,4,6,7}:{(54,1),(55,1),(64,1),(90,1),(92,1),(94,1),(96,1),(107,1),(111,1)}
        77:{1,2,6}:{(56,1),(58,1),(60,1)}
        78:{1,2,5,7}:{(57,1),(59,1),(61,1),(88,1),(95,1)}
        79:{2,3,6,7}:{(58,1),(59,1),(64,1),(90,1),(95,1),(107,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(64,1),(92,1),(95,1),(107,1)}
        81:{4,6}:{(62,1),(63,1)}
        82:{3,5,6,7}:{(63,1),(64,1),(65,1),(94,1),(96,1)}
        83:{3,4,6}:{(66,1),(68,1),(97,1),(98,1),(109,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(97,1),(98,1),(99,1)}
        85:{3,6}:{(67,1),(70,1),(99,1)}
        86:{1,2,5}:{(68,1),(97,1)}
        87:{1,2,4,6}:{(69,1),(71,1),(73,1),(77,1),(98,1),(100,1),(109,1)}
        88:{1,2,4,7}:{(70,1),(72,1),(74,1),(78,1),(99,1)}
        89:{2,5,6}:{(71,1),(75,1),(102,1)}
        90:{2,4,6,7}:{(71,1),(72,1),(76,1),(79,1),(102,1)}
        91:{1,5,6}:{(73,1),(75,1),(103,1)}
        92:{1,4,6,7}:{(73,1),(74,1),(76,1),(80,1),(103,1)}
        93:{4,5,6}:{(75,1),(81,1),(104,1),(109,1)}
        94:{3,5,7}:{(75,1),(76,1),(102,1),(103,1),(104,1)}
        95:{1,2,6,7}:{(77,1),(78,1),(79,1),(80,1)}
        96:{4,6,7}:{(81,1),(82,1),(104,1)}
        97:{3,5}:{(83,1),(86,1),(105,1)}
        98:{3,6}:{(84,1),(87,1)}
        99:{3,7}:{(85,1),(88,1)}
       100:{1,2,5,6}:{(86,1),(87,1),(89,1),(91,1),(106,1),(108,1)}
       101:{1,2,4,6,7}:{(87,1),(88,1),(90,1),(92,1),(95,1),(107,1),(108,1),(111,1)}
       102:{2,5,7}:{(89,1),(90,1),(94,1)}
       103:{1,5,7}:{(91,1),(92,1),(94,1)}
       104:{4,5,7}:{(93,1),(94,1),(96,1),(111,1)}
       105:{4,5}:{(97,1),(109,1)}
       106:{3,5,6}:{(97,1),(98,1),(100,1),(109,1),(110,1)}
       107:{3,6,7}:{(98,1),(99,1),(101,1),(110,1)}
       108:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1188 :   0:{1,2,3,6,7}:{(2,1),(3,1),(38,1),(75,1),(76,1),(77,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(11,1),(15,1),(38,1),(43,1),(44,1),(45,1),(46,1),(77,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(84,1),(85,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(23,1),(59,1),(60,1),(61,1),(62,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(53,1),(54,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(13,1),(32,1),(38,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(11,1),(94,1),(95,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(13,1),(71,1),(72,1)}
         8:{1,2,4,5}:{(4,1),(15,1),(35,1),(36,1),(45,1)}
         9:{3,4,6}:{(4,1),(13,1),(15,1),(38,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,5,6}:{(6,1),(18,1),(22,1),(82,1),(83,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(22,1),(23,1),(50,1),(51,1),(59,1)}
        13:{3,4,7}:{(7,1),(9,1),(23,1)}
        14:{1,2,4,5,6}:{(8,1),(22,1),(26,1),(27,1),(47,1),(53,1),(54,1),(63,1),(82,1),(83,1)}
        15:{3,5}:{(8,1),(9,1)}
        16:{1,3,4,6}:{(9,1),(24,1),(28,1),(30,1),(53,1),(57,1),(89,1),(90,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(25,1),(29,1),(30,1),(54,1),(58,1),(89,1),(90,1),(105,1)}
        18:{3,5,6}:{(10,1),(11,1),(32,1),(38,1)}
        19:{4,5,7}:{(10,1),(32,1)}
        20:{3,4,5}:{(15,1),(34,1),(35,1),(36,1),(74,1)}
        21:{1,2,5,6,7}:{(11,1),(31,1),(37,1),(94,1),(95,1)}
        22:{1,2,4,6}:{(11,1),(12,1),(32,1),(38,1),(68,1),(69,1),(77,1)}
        23:{3,5,7}:{(12,1),(13,1),(15,1),(38,1)}
        24:{1,3,4,7}:{(13,1),(16,1),(39,1),(41,1),(71,1),(99,1),(100,1)}
        25:{2,3,4,7}:{(13,1),(17,1),(40,1),(41,1),(72,1),(99,1),(100,1)}
        26:{1,2,4,5,7}:{(14,1),(37,1),(42,1),(65,1),(71,1),(72,1),(79,1),(94,1),(95,1)}
        27:{3,5,6}:{(14,1),(15,1),(34,1),(38,1),(42,1)}
        28:{1,3,5}:{(15,1),(16,1),(35,1),(45,1),(74,1),(109,1)}
        29:{2,3,5}:{(15,1),(17,1),(36,1),(45,1),(74,1),(109,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(41,1),(45,1),(46,1),(77,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(48,1),(56,1),(81,1)}
        32:{4,6}:{(18,1),(19,1)}
        33:{3,4,5,7}:{(19,1),(20,1),(23,1),(49,1),(50,1),(51,1),(52,1),(81,1),(87,1),(110,1),(111,1)}
        34:{3,4,6}:{(20,1),(27,1),(52,1),(53,1),(54,1),(89,1)}
        35:{1,4,5}:{(20,1),(28,1),(53,1),(111,1)}
        36:{2,4,5}:{(20,1),(29,1),(54,1),(111,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(26,1),(48,1),(56,1),(84,1),(85,1),(91,1)}
        38:{3,6}:{(22,1),(23,1)}
        39:{1,3,5,7}:{(23,1),(24,1),(28,1),(50,1),(57,1),(59,1),(87,1)}
        40:{2,3,5,7}:{(23,1),(25,1),(29,1),(51,1),(58,1),(59,1),(87,1)}
        41:{1,2,4,7}:{(24,1),(25,1),(30,1),(59,1),(60,1)}
        42:{3,5,7}:{(26,1),(27,1),(52,1),(56,1)}
        43:{1,3,5,6}:{(27,1),(28,1),(53,1),(57,1),(61,1),(63,1),(82,1),(89,1),(103,1)}
        44:{2,3,5,6}:{(27,1),(29,1),(54,1),(58,1),(62,1),(63,1),(83,1),(89,1),(103,1)}
        45:{1,2,5}:{(28,1),(29,1),(30,1)}
        46:{1,2,3,6}:{(30,1),(60,1),(64,1),(89,1)}
        47:{4,5,6}:{(32,1),(65,1),(66,1),(108,1)}
        48:{4,6,7}:{(31,1),(32,1),(65,1)}
        49:{3,4,6}:{(32,1),(33,1),(38,1),(66,1),(68,1),(69,1),(98,1),(108,1)}
        50:{1,4,5,7}:{(33,1),(35,1),(39,1),(68,1),(71,1),(94,1)}
        51:{2,4,5,7}:{(33,1),(36,1),(40,1),(69,1),(72,1),(95,1)}
        52:{3,4,7}:{(34,1),(42,1),(71,1),(72,1),(100,1)}
        53:{1,4,6}:{(34,1),(35,1),(43,1),(71,1),(108,1)}
        54:{2,4,6}:{(34,1),(36,1),(44,1),(72,1),(108,1)}
        55:{1,2,4,5}:{(35,1),(36,1),(45,1),(73,1),(74,1),(80,1)}
        56:{3,6,7}:{(37,1),(38,1),(42,1)}
        57:{1,3,6}:{(38,1),(39,1),(68,1),(77,1),(98,1)}
        58:{2,3,6}:{(38,1),(40,1),(69,1),(77,1),(98,1)}
        59:{1,2,5,7}:{(39,1),(40,1),(41,1),(45,1),(77,1)}
        60:{1,2,3,7}:{(41,1),(46,1),(100,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(71,1),(75,1),(79,1),(94,1),(100,1),(107,1)}
        62:{2,3,5,7}:{(42,1),(44,1),(72,1),(76,1),(79,1),(95,1),(100,1),(107,1)}
        63:{1,2,5,6}:{(43,1),(44,1),(45,1),(73,1),(77,1),(79,1)}
        64:{1,2,3,5}:{(45,1),(46,1),(74,1),(80,1)}
        65:{4,5,7}:{(47,1),(48,1),(81,1),(110,1)}
        66:{3,5,6}:{(47,1),(49,1),(81,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(48,1),(49,1),(52,1),(56,1),(81,1),(84,1),(85,1),(104,1),(110,1)}
        68:{1,4,6}:{(49,1),(50,1),(57,1),(82,1)}
        69:{2,4,6}:{(49,1),(51,1),(58,1),(83,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(55,1),(59,1),(86,1),(87,1),(88,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        71:{1,4,7}:{(52,1),(53,1),(61,1),(110,1)}
        72:{2,4,7}:{(52,1),(54,1),(62,1),(110,1)}
        73:{1,2,4,6}:{(53,1),(54,1),(55,1),(63,1),(88,1),(89,1)}
        74:{3,5}:{(55,1),(89,1),(90,1)}
        75:{1,3,6,7}:{(56,1),(57,1),(61,1),(84,1),(91,1),(104,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(62,1),(85,1),(91,1),(104,1)}
        77:{1,2,6}:{(57,1),(58,1),(59,1)}
        78:{1,2,3,5,7}:{(59,1),(60,1),(64,1),(87,1),(92,1),(93,1),(106,1)}
        79:{1,2,5,7}:{(61,1),(62,1),(63,1),(88,1),(91,1)}
        80:{1,2,4}:{(64,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(67,1),(94,1),(95,1)}
        82:{1,5,6}:{(66,1),(68,1),(94,1)}
        83:{2,5,6}:{(66,1),(69,1),(95,1)}
        84:{1,4,6,7}:{(67,1),(68,1),(71,1),(75,1),(94,1)}
        85:{2,4,6,7}:{(67,1),(69,1),(72,1),(76,1),(95,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(96,1),(98,1),(108,1)}
        87:{3,5,7}:{(70,1),(74,1),(98,1),(99,1),(100,1),(109,1)}
        88:{1,2,4,7}:{(71,1),(72,1),(73,1),(79,1),(100,1)}
        89:{3,6}:{(73,1),(74,1),(100,1)}
        90:{3,4}:{(74,1),(80,1)}
        91:{1,2,6,7}:{(75,1),(76,1),(77,1),(79,1)}
        92:{1,2,3,6}:{(77,1),(78,1),(98,1),(101,1)}
        93:{1,2,4,7}:{(78,1),(80,1),(99,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(84,1)}
        95:{2,5,7}:{(81,1),(83,1),(85,1)}
        96:{1,2,5,6}:{(82,1),(83,1),(86,1),(102,1),(103,1),(106,1)}
        97:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(102,1),(104,1),(110,1)}
        98:{3,6}:{(86,1),(87,1)}
        99:{3,4,7}:{(87,1),(90,1),(93,1),(105,1),(110,1)}
       100:{3,7}:{(88,1),(89,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(97,1),(107,1)}
       103:{3,5,6}:{(96,1),(98,1),(107,1),(108,1),(109,1)}
       104:{3,6,7}:{(97,1),(98,1),(100,1),(107,1)}
       105:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(103,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1189 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1),(11,1),(30,1),(32,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(22,1),(50,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(48,1)}
         3:{3,4,7}:{(2,1),(9,1),(10,1),(69,1),(79,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1)}
         5:{1,2,4,5,7}:{(2,1),(10,1),(11,1),(12,1),(27,1),(28,1),(32,1),(37,1),(40,1),(70,1),(79,1),(117,1)}
         6:{1,2,3,7}:{(15,1),(16,1),(90,1),(133,1),(146,1)}
         7:{2,3,4,7}:{(3,1),(16,1),(17,1),(18,1),(41,1),(91,1),(98,1),(133,1)}
         8:{1,3,4,7}:{(3,1),(16,1),(19,1),(20,1),(41,1),(92,1),(101,1),(133,1)}
         9:{3,4,6}:{(3,1),(4,1),(21,1),(22,1),(57,1)}
        10:{3,5,7}:{(3,1),(5,1),(21,1),(22,1),(93,1),(133,1)}
        11:{1,2,5}:{(4,1),(21,1)}
        12:{1,2,4,6}:{(5,1),(22,1),(23,1),(44,1),(45,1),(50,1),(57,1)}
        13:{1,2,3,5,7}:{(6,1),(25,1),(26,1),(30,1),(32,1),(60,1),(61,1)}
        14:{3,4,5,7}:{(10,1),(27,1),(28,1),(29,1),(37,1),(60,1),(68,1),(73,1),(76,1),(79,1),(105,1),(119,1),(121,1),(138,1)}
        15:{1,2,3,6}:{(6,1),(30,1),(31,1),(116,1),(141,1)}
        16:{1,2,4,7}:{(6,1),(7,1),(8,1),(31,1),(32,1),(113,1)}
        17:{2,3,4,6}:{(7,1),(9,1),(31,1),(33,1),(34,1),(59,1),(69,1),(74,1),(116,1)}
        18:{2,3,5,7}:{(7,1),(10,1),(27,1),(32,1),(33,1),(34,1),(60,1),(114,1),(142,1)}
        19:{1,3,4,6}:{(8,1),(9,1),(31,1),(35,1),(36,1),(59,1),(69,1),(77,1),(116,1)}
        20:{1,3,5,7}:{(8,1),(10,1),(28,1),(32,1),(35,1),(36,1),(60,1),(115,1),(143,1)}
        21:{3,5}:{(9,1),(11,1),(37,1)}
        22:{3,6}:{(10,1),(12,1)}
        23:{1,2,5,6}:{(11,1),(12,1),(38,1),(40,1),(63,1),(65,1)}
        24:{1,2,4,6,7}:{(12,1),(39,1),(40,1),(64,1),(66,1),(72,1),(79,1),(117,1)}
        25:{1,2,3,6}:{(13,1),(42,1),(50,1),(82,1)}
        26:{1,2,4,7}:{(13,1),(41,1),(42,1),(48,1)}
        27:{2,4,5,7}:{(14,1),(18,1),(44,1),(51,1),(86,1),(98,1),(99,1),(135,1)}
        28:{1,4,5,7}:{(14,1),(20,1),(45,1),(54,1),(88,1),(96,1),(101,1),(134,1)}
        29:{3,4,6}:{(14,1),(22,1),(44,1),(45,1),(46,1),(57,1),(82,1),(124,1)}
        30:{1,2,3,5}:{(15,1),(48,1),(49,1),(90,1),(93,1),(130,1)}
        31:{1,2,4,6}:{(15,1),(16,1),(17,1),(19,1),(48,1),(49,1),(50,1)}
        32:{1,2,5,7}:{(16,1),(18,1),(20,1),(49,1),(50,1),(130,1),(146,1)}
        33:{2,3,5}:{(17,1),(21,1),(49,1),(51,1),(81,1),(93,1)}
        34:{2,3,6}:{(18,1),(22,1),(44,1),(50,1),(82,1)}
        35:{1,3,5}:{(19,1),(21,1),(49,1),(54,1),(81,1),(93,1)}
        36:{1,3,6}:{(20,1),(22,1),(45,1),(50,1),(82,1)}
        37:{4,5}:{(21,1),(57,1)}
        38:{3,5,6}:{(21,1),(22,1),(23,1),(57,1),(58,1)}
        39:{3,6,7}:{(22,1),(24,1),(58,1),(133,1)}
        40:{1,2,5,7}:{(23,1),(24,1),(58,1),(86,1),(88,1)}
        41:{3,4,7}:{(26,1),(59,1),(60,1),(69,1),(138,1)}
        42:{1,2,4,6}:{(25,1),(26,1),(59,1),(61,1)}
        43:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(32,1),(60,1),(61,1),(62,1),(70,1),(105,1),(108,1),(117,1),(138,1)}
        44:{2,4,6}:{(27,1),(29,1),(34,1),(63,1)}
        45:{1,4,6}:{(28,1),(29,1),(36,1),(65,1)}
        46:{3,5,6}:{(29,1),(63,1),(65,1),(67,1),(68,1)}
        47:{3,4,6,7}:{(29,1),(39,1),(64,1),(66,1),(68,1),(79,1),(104,1),(107,1),(119,1),(121,1),(136,1),(137,1),(138,1)}
        48:{1,2,4}:{(30,1),(69,1)}
        49:{1,2,5}:{(31,1),(33,1),(35,1)}
        50:{1,2,6}:{(32,1),(34,1),(36,1)}
        51:{2,4,5}:{(33,1),(37,1),(73,1),(74,1),(105,1)}
        52:{2,3,5,6}:{(33,1),(34,1),(38,1),(63,1),(71,1),(74,1),(75,1),(106,1),(109,1),(116,1)}
        53:{2,3,6,7}:{(34,1),(39,1),(64,1),(72,1),(75,1),(107,1),(136,1),(142,1)}
        54:{1,4,5}:{(35,1),(37,1),(76,1),(77,1),(105,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(38,1),(65,1),(71,1),(77,1),(78,1),(106,1),(111,1),(116,1)}
        56:{1,3,6,7}:{(36,1),(39,1),(66,1),(72,1),(78,1),(107,1),(137,1),(143,1)}
        57:{4,6}:{(37,1),(38,1),(79,1)}
        58:{3,5,7}:{(38,1),(39,1),(40,1),(79,1)}
        59:{3,4,6}:{(41,1),(42,1),(81,1),(82,1),(124,1)}
        60:{3,5,7}:{(41,1),(43,1),(81,1),(82,1),(93,1),(133,1)}
        61:{1,2,5}:{(42,1),(81,1)}
        62:{1,2,4,6}:{(43,1),(44,1),(45,1),(50,1),(82,1),(83,1),(124,1)}
        63:{2,5,6}:{(44,1),(46,1),(86,1)}
        64:{2,4,6,7}:{(44,1),(47,1),(53,1),(86,1),(98,1),(135,1),(145,1)}
        65:{1,5,6}:{(45,1),(46,1),(88,1)}
        66:{1,4,6,7}:{(45,1),(47,1),(56,1),(88,1),(101,1),(134,1),(144,1)}
        67:{4,5,6}:{(46,1),(57,1),(89,1),(124,1)}
        68:{3,5,7}:{(46,1),(47,1),(86,1),(88,1),(89,1)}
        69:{3,4}:{(48,1),(93,1)}
        70:{1,2,4,5}:{(48,1),(49,1),(51,1),(54,1),(93,1),(94,1),(96,1),(99,1),(130,1)}
        71:{1,2,5,6}:{(49,1),(50,1),(52,1),(55,1),(94,1),(95,1),(126,1),(128,1)}
        72:{1,2,6,7}:{(50,1),(53,1),(56,1),(95,1),(144,1),(145,1),(146,1)}
        73:{3,4,5}:{(51,1),(93,1),(96,1),(97,1)}
        74:{2,4,6}:{(51,1),(52,1),(57,1),(97,1),(98,1),(124,1)}
        75:{2,3,5,7}:{(52,1),(53,1),(58,1),(86,1),(95,1),(98,1),(125,1),(127,1),(133,1)}
        76:{3,4,5}:{(54,1),(93,1),(99,1),(100,1)}
        77:{1,4,6}:{(54,1),(55,1),(57,1),(100,1),(101,1),(124,1)}
        78:{1,3,5,7}:{(55,1),(56,1),(58,1),(88,1),(95,1),(101,1),(125,1),(129,1),(133,1)}
        79:{4,7}:{(57,1),(58,1)}
        80:{3,5,6,7}:{(68,1),(102,1),(103,1),(104,1),(136,1),(137,1)}
        81:{3,5}:{(59,1),(61,1),(105,1)}
        82:{3,6}:{(60,1),(62,1)}
        83:{1,2,5,6}:{(61,1),(62,1),(63,1),(65,1),(106,1),(108,1)}
        84:{1,2,4,6,7}:{(62,1),(64,1),(66,1),(72,1),(107,1),(108,1),(117,1),(138,1)}
        85:{2,4,5,6}:{(63,1),(67,1),(74,1),(109,1),(110,1)}
        86:{2,5,7}:{(63,1),(64,1),(68,1)}
        87:{1,4,5,6}:{(65,1),(67,1),(77,1),(111,1),(112,1)}
        88:{1,5,7}:{(65,1),(66,1),(68,1)}
        89:{4,5,7}:{(67,1),(68,1),(79,1),(104,1),(138,1)}
        90:{1,2,3}:{(113,1)}
        91:{2,3,4}:{(69,1),(113,1),(114,1)}
        92:{1,3,4}:{(69,1),(113,1),(115,1)}
        93:{3,5}:{(69,1),(70,1),(116,1)}
        94:{1,2,4,6}:{(70,1),(71,1),(74,1),(77,1),(116,1),(117,1),(118,1),(120,1),(141,1)}
        95:{1,2,5,7}:{(71,1),(72,1),(75,1),(78,1),(117,1),(139,1),(140,1)}
        96:{1,4,5}:{(73,1),(115,1),(118,1)}
        97:{3,4,6}:{(73,1),(74,1),(109,1),(116,1),(118,1),(119,1)}
        98:{2,4,7}:{(74,1),(75,1),(79,1),(119,1),(138,1)}
        99:{2,4,5}:{(76,1),(114,1),(120,1)}
       100:{3,4,6}:{(76,1),(77,1),(111,1),(116,1),(120,1),(121,1)}
       101:{1,4,7}:{(77,1),(78,1),(79,1),(121,1),(138,1)}
       102:{2,5,6,7}:{(80,1),(86,1),(122,1),(145,1)}
       103:{1,5,6,7}:{(80,1),(88,1),(123,1),(144,1)}
       104:{4,6,7}:{(80,1),(89,1)}
       105:{4,5}:{(81,1),(124,1)}
       106:{3,5,6}:{(81,1),(82,1),(83,1),(124,1),(125,1)}
       107:{3,6,7}:{(82,1),(84,1),(125,1),(133,1)}
       108:{1,2,5,7}:{(83,1),(84,1),(86,1),(88,1),(125,1)}
       109:{3,5,6}:{(85,1),(97,1),(126,1),(127,1)}
       110:{2,4,5,7}:{(85,1),(86,1),(89,1),(98,1),(122,1),(127,1)}
       111:{3,5,6}:{(87,1),(100,1),(128,1),(129,1)}
       112:{1,4,5,7}:{(87,1),(88,1),(89,1),(101,1),(123,1),(129,1)}
       113:{1,2,4}:{(90,1),(91,1),(92,1),(130,1)}
       114:{2,3,5}:{(91,1),(93,1),(99,1),(130,1),(131,1)}
       115:{1,3,5}:{(92,1),(93,1),(96,1),(130,1),(132,1)}
       116:{3,6}:{(93,1),(94,1),(133,1)}
       117:{1,2,4,7}:{(94,1),(95,1),(98,1),(101,1),(133,1),(134,1),(135,1),(146,1)}
       118:{1,4,6}:{(96,1),(97,1),(126,1),(132,1),(134,1)}
       119:{3,4,7}:{(97,1),(98,1),(127,1),(133,1),(134,1)}
       120:{2,4,6}:{(99,1),(100,1),(128,1),(131,1),(135,1)}
       121:{3,4,7}:{(100,1),(101,1),(129,1),(133,1),(135,1)}
       122:{2,4,6,7}:{(102,1),(104,1),(110,1),(136,1)}
       123:{1,4,6,7}:{(103,1),(104,1),(112,1),(137,1)}
       124:{4,6}:{(105,1),(106,1),(138,1)}
       125:{3,5,7}:{(106,1),(107,1),(108,1),(138,1)}
       126:{1,5,6}:{(109,1),(118,1),(139,1)}
       127:{3,5,7}:{(109,1),(110,1),(119,1),(136,1),(139,1)}
       128:{2,5,6}:{(111,1),(120,1),(140,1)}
       129:{3,5,7}:{(111,1),(112,1),(121,1),(137,1),(140,1)}
       130:{1,2,5}:{(113,1),(114,1),(115,1),(141,1)}
       131:{2,3,6}:{(114,1),(116,1),(120,1),(141,1),(142,1)}
       132:{1,3,6}:{(115,1),(116,1),(118,1),(141,1),(143,1)}
       133:{3,7}:{(116,1),(117,1)}
       134:{1,4,7}:{(118,1),(119,1),(139,1),(143,1)}
       135:{2,4,7}:{(120,1),(121,1),(140,1),(142,1)}
       136:{3,6,7}:{(122,1),(127,1),(144,1)}
       137:{3,6,7}:{(123,1),(129,1),(145,1)}
       138:{4,7}:{(124,1),(125,1)}
       139:{1,5,7}:{(126,1),(127,1),(134,1),(144,1)}
       140:{2,5,7}:{(128,1),(129,1),(135,1),(145,1)}
       141:{1,2,6}:{(130,1),(131,1),(132,1),(146,1)}
       142:{2,3,7}:{(131,1),(133,1),(135,1),(146,1)}
       143:{1,3,7}:{(132,1),(133,1),(134,1),(146,1)}
       144:{1,6,7}:{(136,1),(139,1)}
       145:{2,6,7}:{(137,1),(140,1)}
       146:{1,2,7}:{(141,1),(142,1),(143,1)}

1190 :   0:{1,2,3,6,7}:{(1,1),(2,1),(34,1),(70,1),(71,1),(72,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(19,1),(50,1),(88,1),(89,1)}
         2:{1,2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(80,1),(81,1)}
         3:{3,4,6,7}:{(2,1),(7,1),(9,1),(24,1),(34,1)}
         4:{1,2,3,5,6}:{(1,1),(8,1),(11,1),(26,1),(29,1),(34,1),(66,1),(67,1),(68,1),(70,1)}
         5:{1,2,4,7}:{(1,1),(8,1),(9,1),(99,1),(100,1)}
         6:{1,2,5,7}:{(2,1),(7,1),(11,1),(93,1),(94,1)}
         7:{3,5,7}:{(3,1),(6,1),(12,1),(13,1)}
         8:{1,2,4,6}:{(4,1),(5,1),(14,1),(15,1),(84,1),(85,1)}
         9:{3,4,7}:{(5,1),(14,1),(19,1)}
        10:{1,2,4,5,7}:{(5,1),(6,1),(12,1),(15,1),(19,1),(20,1),(39,1),(40,1),(50,1)}
        11:{1,2,5,6}:{(6,1),(13,1),(20,1),(75,1),(76,1)}
        12:{4,5,7}:{(7,1),(24,1)}
        13:{3,5,6}:{(7,1),(11,1),(24,1),(34,1)}
        14:{3,4,6}:{(8,1),(9,1),(29,1),(34,1)}
        15:{1,2,4,5}:{(8,1),(29,1),(63,1),(64,1),(66,1)}
        16:{1,2,3,7}:{(26,1),(31,1),(110,1)}
        17:{2,3,4,7}:{(9,1),(27,1),(31,1),(32,1),(57,1),(99,1),(110,1)}
        18:{1,3,4,7}:{(9,1),(28,1),(31,1),(33,1),(57,1),(100,1),(110,1)}
        19:{3,5,7}:{(9,1),(10,1),(29,1),(34,1)}
        20:{1,2,4,6}:{(10,1),(11,1),(24,1),(34,1),(59,1),(60,1),(70,1)}
        21:{1,2,5,6,7}:{(11,1),(25,1),(35,1),(93,1),(94,1)}
        22:{1,2,3,5,7}:{(16,1),(36,1),(38,1),(43,1),(50,1),(74,1),(78,1)}
        23:{3,4,5,7}:{(12,1),(19,1),(39,1),(40,1),(41,1),(44,1),(77,1),(78,1),(86,1),(102,1),(111,1)}
        24:{4,6}:{(12,1),(13,1)}
        25:{3,5,6,7}:{(13,1),(21,1),(42,1),(53,1),(77,1)}
        26:{1,2,3,6}:{(16,1),(43,1),(45,1),(106,1)}
        27:{2,3,4,6}:{(14,1),(17,1),(45,1),(46,1),(51,1),(73,1),(82,1),(84,1),(106,1)}
        28:{1,3,4,6}:{(14,1),(18,1),(45,1),(47,1),(52,1),(73,1),(82,1),(85,1),(106,1)}
        29:{3,5}:{(14,1),(15,1)}
        30:{1,2,4,5,6}:{(15,1),(20,1),(37,1),(48,1),(49,1),(75,1),(76,1),(84,1),(85,1),(87,1)}
        31:{1,2,4,7}:{(16,1),(17,1),(18,1),(45,1),(50,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(39,1),(46,1),(50,1),(51,1),(78,1)}
        33:{1,3,5,7}:{(18,1),(19,1),(40,1),(47,1),(50,1),(52,1),(78,1)}
        34:{3,6}:{(19,1),(20,1)}
        35:{1,2,4,6,7}:{(20,1),(21,1),(42,1),(49,1),(53,1),(80,1),(81,1),(90,1)}
        36:{1,2,3,6}:{(22,1),(54,1),(70,1),(95,1)}
        37:{4,5,6}:{(24,1),(55,1),(56,1),(108,1)}
        38:{1,2,4,7}:{(22,1),(54,1),(57,1),(62,1)}
        39:{2,4,5,7}:{(23,1),(32,1),(59,1),(63,1),(93,1),(99,1)}
        40:{1,4,5,7}:{(23,1),(33,1),(60,1),(64,1),(94,1),(100,1)}
        41:{3,4,6}:{(23,1),(24,1),(34,1),(55,1),(59,1),(60,1),(95,1),(108,1)}
        42:{4,6,7}:{(24,1),(25,1),(56,1)}
        43:{1,2,3,5}:{(26,1),(62,1),(66,1),(97,1)}
        44:{3,4,5}:{(29,1),(63,1),(64,1),(65,1),(97,1)}
        45:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(62,1),(66,1),(70,1)}
        46:{2,3,5}:{(27,1),(29,1),(63,1),(66,1),(91,1),(97,1)}
        47:{1,3,5}:{(28,1),(29,1),(64,1),(66,1),(91,1),(97,1)}
        48:{3,5,6}:{(29,1),(30,1),(34,1),(65,1),(69,1)}
        49:{1,2,4,5,7}:{(30,1),(35,1),(56,1),(69,1),(93,1),(94,1),(99,1),(100,1),(101,1)}
        50:{1,2,5,7}:{(31,1),(32,1),(33,1),(66,1),(70,1)}
        51:{2,3,6}:{(32,1),(34,1),(59,1),(70,1),(95,1)}
        52:{1,3,6}:{(33,1),(34,1),(60,1),(70,1),(95,1)}
        53:{3,6,7}:{(34,1),(35,1),(69,1)}
        54:{1,2,4,6}:{(36,1),(38,1),(73,1),(74,1)}
        55:{3,5,6}:{(37,1),(41,1),(75,1),(76,1),(77,1)}
        56:{4,5,7}:{(37,1),(42,1),(77,1),(111,1)}
        57:{3,4,7}:{(38,1),(73,1),(78,1),(82,1),(111,1)}
        58:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(50,1),(74,1),(78,1),(79,1),(83,1),(102,1),(104,1),(107,1),(111,1)}
        59:{2,4,6}:{(39,1),(41,1),(51,1),(75,1)}
        60:{1,4,6}:{(40,1),(41,1),(52,1),(76,1)}
        61:{3,4,6,7}:{(41,1),(42,1),(53,1),(77,1),(80,1),(81,1),(86,1),(105,1),(111,1)}
        62:{1,2,4}:{(43,1),(82,1)}
        63:{2,4,5}:{(44,1),(46,1),(84,1),(102,1)}
        64:{1,4,5}:{(44,1),(47,1),(85,1),(102,1)}
        65:{3,4,6}:{(44,1),(48,1),(84,1),(85,1),(86,1),(106,1)}
        66:{1,2,5}:{(45,1),(46,1),(47,1)}
        67:{2,3,5,6}:{(46,1),(48,1),(51,1),(75,1),(84,1),(87,1),(88,1),(103,1),(106,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(52,1),(76,1),(85,1),(87,1),(89,1),(103,1),(106,1)}
        69:{3,5,7}:{(48,1),(49,1),(53,1),(86,1)}
        70:{1,2,6}:{(50,1),(51,1),(52,1)}
        71:{2,3,6,7}:{(51,1),(53,1),(80,1),(88,1),(90,1),(105,1)}
        72:{1,3,6,7}:{(52,1),(53,1),(81,1),(89,1),(90,1),(105,1)}
        73:{3,4,6}:{(54,1),(57,1),(91,1),(95,1),(108,1)}
        74:{1,2,5}:{(54,1),(91,1)}
        75:{2,5,6}:{(55,1),(59,1),(93,1)}
        76:{1,5,6}:{(55,1),(60,1),(94,1)}
        77:{3,5,7}:{(55,1),(56,1),(61,1),(93,1),(94,1)}
        78:{3,5,7}:{(57,1),(58,1),(91,1),(95,1),(97,1),(110,1)}
        79:{1,2,4,6}:{(58,1),(59,1),(60,1),(70,1),(92,1),(95,1),(108,1)}
        80:{2,4,6,7}:{(59,1),(61,1),(71,1),(93,1),(99,1)}
        81:{1,4,6,7}:{(60,1),(61,1),(72,1),(94,1),(100,1)}
        82:{3,4}:{(62,1),(97,1)}
        83:{1,2,4,5}:{(62,1),(63,1),(64,1),(66,1),(97,1),(98,1)}
        84:{2,4,6}:{(63,1),(65,1),(67,1),(99,1),(108,1)}
        85:{1,4,6}:{(64,1),(65,1),(68,1),(100,1),(108,1)}
        86:{3,4,7}:{(65,1),(69,1),(99,1),(100,1),(110,1)}
        87:{1,2,5,6}:{(66,1),(67,1),(68,1),(70,1),(98,1),(101,1)}
        88:{2,3,5,7}:{(67,1),(69,1),(71,1),(93,1),(99,1),(101,1),(109,1),(110,1)}
        89:{1,3,5,7}:{(68,1),(69,1),(72,1),(94,1),(100,1),(101,1),(109,1),(110,1)}
        90:{1,2,6,7}:{(70,1),(71,1),(72,1),(101,1)}
        91:{3,5}:{(73,1),(74,1),(102,1)}
        92:{1,2,5,6}:{(74,1),(75,1),(76,1),(79,1),(103,1),(104,1)}
        93:{2,5,7}:{(75,1),(77,1),(80,1)}
        94:{1,5,7}:{(76,1),(77,1),(81,1)}
        95:{3,6}:{(78,1),(79,1)}
        96:{1,2,4,6,7}:{(79,1),(80,1),(81,1),(90,1),(104,1),(105,1),(107,1),(111,1)}
        97:{3,5}:{(82,1),(83,1),(106,1)}
        98:{1,2,4,6}:{(83,1),(84,1),(85,1),(87,1),(106,1),(107,1)}
        99:{2,4,7}:{(84,1),(86,1),(88,1),(111,1)}
       100:{1,4,7}:{(85,1),(86,1),(89,1),(111,1)}
       101:{1,2,5,7}:{(87,1),(88,1),(89,1),(90,1),(107,1)}
       102:{4,5}:{(91,1),(108,1)}
       103:{3,5,6}:{(91,1),(92,1),(95,1),(108,1),(109,1)}
       104:{1,2,5,7}:{(92,1),(93,1),(94,1),(96,1),(109,1)}
       105:{3,6,7}:{(95,1),(96,1),(109,1),(110,1)}
       106:{3,6}:{(97,1),(98,1),(110,1)}
       107:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(110,1)}
       108:{4,6}:{(102,1),(103,1),(111,1)}
       109:{3,5,7}:{(103,1),(104,1),(105,1),(111,1)}
       110:{3,7}:{(106,1),(107,1)}
       111:{4,7}:{(108,1),(109,1)}

1191 :   0:{2,4,5,6}:{(3,1),(4,1),(27,1),(33,1),(86,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(27,1),(38,1),(77,1),(89,1),(128,1),(141,1)}
         2:{2,5,6,7}:{(9,1),(11,1),(98,1),(102,1)}
         3:{2,4,5,7}:{(0,1),(11,1),(12,1),(46,1),(49,1),(102,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(13,1)}
         5:{3,4,5}:{(10,1),(16,1),(17,1),(62,1)}
         6:{2,3,5}:{(1,1),(17,1),(19,1),(62,1),(151,1),(162,1)}
         7:{2,3,4,7}:{(1,1),(18,1),(20,1),(49,1),(104,1),(117,1),(150,1),(163,1)}
         8:{1,2,4,6}:{(1,1),(19,1),(20,1),(21,1),(63,1),(65,1),(118,1)}
         9:{3,5,6,7}:{(2,1),(23,1),(24,1),(28,1),(70,1),(73,1)}
        10:{3,4,6}:{(4,1),(5,1),(25,1),(26,1),(27,1),(77,1)}
        11:{2,4,6,7}:{(2,1),(3,1),(24,1),(28,1)}
        12:{3,5,7}:{(3,1),(4,1),(25,1),(28,1),(29,1)}
        13:{1,5,6}:{(4,1),(26,1),(29,1)}
        14:{2,3,5,6}:{(4,1),(6,1),(27,1),(30,1),(31,1),(38,1),(77,1),(86,1),(140,1)}
        15:{3,4,5,7}:{(5,1),(25,1),(34,1),(35,1),(36,1),(73,1),(88,1),(92,1),(123,1),(172,1),(180,1)}
        16:{1,4,5}:{(5,1),(26,1),(32,1)}
        17:{2,4,5}:{(5,1),(6,1),(27,1),(180,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(36,1),(38,1),(39,1),(88,1),(143,1),(167,1),(171,1)}
        19:{1,2,5}:{(6,1),(8,1),(40,1),(142,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(39,1),(41,1),(91,1),(181,1)}
        21:{1,3,6}:{(8,1),(40,1),(41,1),(77,1)}
        22:{1,3,4}:{(32,1),(43,1),(89,1)}
        23:{1,5,6,7}:{(9,1),(44,1),(51,1),(101,1)}
        24:{4,6,7}:{(9,1),(46,1)}
        25:{3,4,7}:{(10,1),(12,1),(48,1),(49,1),(104,1)}
        26:{1,4,6}:{(10,1),(13,1),(16,1),(45,1),(48,1)}
        27:{2,4,6}:{(10,1),(14,1),(17,1),(49,1),(161,1)}
        28:{3,6,7}:{(11,1),(12,1),(51,1)}
        29:{1,5,7}:{(12,1),(13,1),(48,1),(51,1)}
        30:{2,3,5,7}:{(12,1),(14,1),(49,1),(52,1),(53,1),(102,1),(104,1),(152,1)}
        31:{1,2,5,6}:{(13,1),(14,1),(19,1),(50,1),(53,1),(54,1),(63,1),(151,1),(188,1)}
        32:{1,3,5}:{(16,1),(22,1),(45,1),(57,1),(62,1)}
        33:{4,5,6}:{(46,1),(58,1),(161,1)}
        34:{3,4,6}:{(15,1),(58,1),(59,1),(60,1),(116,1),(161,1)}
        35:{1,4,5,7}:{(15,1),(16,1),(48,1),(56,1),(59,1),(101,1),(119,1),(146,1)}
        36:{2,4,5,7}:{(15,1),(17,1),(18,1),(49,1),(60,1),(102,1),(120,1),(147,1)}
        37:{1,2,4,5}:{(16,1),(17,1),(19,1),(50,1),(57,1),(62,1),(65,1),(108,1),(114,1),(151,1)}
        38:{2,3,6}:{(18,1),(60,1),(63,1),(116,1),(188,1)}
        39:{1,2,5,7}:{(18,1),(19,1),(20,1),(63,1),(64,1),(164,1),(184,1)}
        40:{1,3,5}:{(19,1),(21,1),(62,1),(65,1)}
        41:{1,3,7}:{(20,1),(21,1),(104,1),(194,1)}
        42:{1,3,4,7}:{(22,1),(56,1),(66,1),(67,1),(117,1),(146,1),(185,1),(203,1)}
        43:{1,2,4}:{(22,1),(57,1),(68,1),(114,1)}
        44:{1,4,6,7}:{(23,1),(24,1),(69,1),(70,1)}
        45:{1,3,6}:{(26,1),(32,1),(71,1),(72,1),(77,1)}
        46:{4,5,7}:{(24,1),(33,1),(73,1),(172,1)}
        47:{3,4,6,7}:{(24,1),(25,1),(28,1),(34,1),(70,1),(73,1),(74,1),(75,1),(123,1),(130,1),(172,1)}
        48:{1,4,7}:{(25,1),(26,1),(29,1),(71,1)}
        49:{2,4,7}:{(25,1),(27,1),(30,1),(172,1)}
        50:{1,2,4,6}:{(26,1),(27,1),(31,1),(37,1),(72,1),(76,1),(77,1),(80,1),(128,1)}
        51:{1,6,7}:{(28,1),(29,1)}
        52:{2,3,6,7}:{(28,1),(30,1),(38,1),(75,1),(78,1),(130,1),(167,1)}
        53:{1,2,5,7}:{(29,1),(30,1),(31,1),(76,1),(78,1),(79,1),(171,1)}
        54:{1,3,5,6}:{(31,1),(40,1),(77,1),(79,1),(80,1),(90,1),(132,1),(140,1),(142,1),(174,1),(175,1)}
        55:{1,4,5,6}:{(33,1),(69,1),(81,1),(85,1),(135,1)}
        56:{1,3,5,7}:{(32,1),(35,1),(42,1),(71,1),(82,1),(83,1),(88,1),(93,1),(207,1)}
        57:{1,2,5}:{(32,1),(43,1),(72,1),(84,1)}
        58:{3,5,6}:{(33,1),(34,1),(73,1),(85,1),(86,1)}
        59:{1,4,6}:{(34,1),(35,1),(82,1),(85,1)}
        60:{2,4,6}:{(34,1),(36,1),(38,1),(86,1)}
        61:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(39,1),(76,1),(83,1),(87,1),(88,1),(91,1),(129,1),(134,1),(139,1),(142,1),(144,1),(168,1),(171,1),(172,1),(179,1),(180,1),(198,1),(207,1)}
        62:{3,5}:{(37,1),(77,1),(89,1)}
        63:{1,2,6}:{(38,1),(39,1),(90,1)}
        64:{1,3,5,7}:{(39,1),(40,1),(41,1),(88,1),(90,1),(91,1),(142,1),(182,1),(196,1),(207,1)}
        65:{1,4}:{(40,1),(89,1)}
        66:{1,3,4,6}:{(42,1),(82,1),(93,1),(94,1),(135,1),(141,1),(177,1),(183,1),(201,1)}
        67:{1,2,4,7}:{(42,1),(43,1),(83,1),(94,1),(95,1),(139,1)}
        68:{2,3}:{(43,1)}
        69:{1,4,5,7}:{(44,1),(46,1),(55,1),(96,1),(101,1),(146,1)}
        70:{3,6,7}:{(44,1),(96,1),(98,1)}
        71:{1,3,7}:{(45,1),(48,1),(99,1),(104,1)}
        72:{1,2,6}:{(45,1),(57,1),(99,1),(100,1)}
        73:{3,5,7}:{(46,1),(47,1),(58,1),(101,1),(102,1)}
        74:{1,4,6,7}:{(47,1),(48,1),(51,1),(59,1),(97,1),(101,1),(146,1)}
        75:{2,4,6,7}:{(47,1),(49,1),(52,1),(60,1),(98,1),(102,1),(147,1)}
        76:{1,2,4,7}:{(48,1),(49,1),(50,1),(53,1),(99,1),(104,1),(107,1),(150,1)}
        77:{3,6}:{(50,1),(62,1),(104,1)}
        78:{1,2,6,7}:{(51,1),(52,1),(53,1),(63,1),(106,1),(184,1),(188,1)}
        79:{1,3,5,7}:{(53,1),(54,1),(104,1),(106,1),(107,1),(152,1),(154,1),(155,1)}
        80:{1,4,6}:{(54,1),(65,1),(105,1),(107,1),(108,1),(161,1)}
        81:{3,5,6}:{(55,1),(96,1),(109,1),(111,1)}
        82:{1,3,6}:{(56,1),(59,1),(112,1),(116,1),(209,1)}
        83:{1,2,5,7}:{(56,1),(57,1),(67,1),(99,1),(112,1),(113,1),(121,1)}
        84:{2,3,5}:{(57,1),(62,1),(68,1),(100,1),(114,1),(151,1)}
        85:{1,5,6}:{(58,1),(59,1),(101,1)}
        86:{2,5,6}:{(58,1),(60,1),(102,1)}
        87:{1,2,4,6}:{(59,1),(60,1),(61,1),(63,1),(112,1),(115,1),(116,1),(118,1),(156,1),(160,1),(161,1),(188,1),(205,1),(209,1)}
        88:{3,5,7}:{(61,1),(62,1),(104,1),(116,1),(117,1),(162,1),(165,1),(185,1)}
        89:{3,4}:{(62,1),(65,1),(114,1)}
        90:{1,3,6}:{(63,1),(64,1),(116,1),(118,1),(209,1)}
        91:{1,4,7}:{(64,1),(65,1),(117,1),(118,1),(195,1)}
        92:{3,4,5}:{(109,1),(119,1),(120,1),(165,1)}
        93:{1,3,5}:{(66,1),(119,1),(121,1),(162,1),(165,1),(206,1)}
        94:{1,2,4,6}:{(66,1),(67,1),(112,1),(121,1),(122,1),(160,1),(166,1)}
        95:{2,3,7}:{(67,1),(68,1),(122,1),(185,1)}
        96:{3,5,7}:{(69,1),(70,1),(81,1),(123,1),(125,1)}
        97:{1,3,6,7}:{(70,1),(71,1),(74,1),(82,1),(124,1),(126,1),(130,1)}
        98:{2,6,7}:{(70,1),(125,1)}
        99:{1,2,7}:{(71,1),(72,1),(127,1)}
       100:{2,3,6}:{(72,1),(77,1),(84,1),(127,1),(128,1)}
       101:{1,5,7}:{(73,1),(74,1),(85,1)}
       102:{2,5,7}:{(73,1),(75,1),(86,1)}
       103:{1,2,4,6,7}:{(74,1),(75,1),(76,1),(78,1),(87,1),(126,1),(129,1),(130,1),(133,1),(168,1),(170,1),(172,1)}
       104:{3,7}:{(76,1),(77,1)}
       105:{3,4,6}:{(77,1),(80,1),(89,1),(128,1),(131,1),(132,1),(174,1)}
       106:{1,3,6,7}:{(78,1),(79,1),(90,1),(130,1),(133,1),(174,1),(196,1)}
       107:{1,4,7}:{(79,1),(80,1),(131,1),(172,1)}
       108:{1,4,5}:{(80,1),(132,1),(142,1),(180,1)}
       109:{3,4,6}:{(81,1),(92,1),(123,1),(135,1),(136,1),(177,1)}
       110:{1,3,5,6}:{(81,1),(82,1),(85,1),(93,1),(124,1),(135,1),(137,1),(140,1),(177,1)}
       111:{2,5,6}:{(81,1),(125,1),(136,1)}
       112:{1,2,6}:{(82,1),(83,1),(138,1)}
       113:{2,3,5,7}:{(83,1),(84,1),(88,1),(95,1),(127,1),(138,1),(139,1),(145,1),(171,1),(179,1)}
       114:{2,4}:{(84,1),(89,1)}
       115:{1,2,5,6}:{(85,1),(86,1),(87,1),(129,1),(140,1),(142,1),(175,1),(179,1),(199,1)}
       116:{3,6}:{(87,1),(88,1)}
       117:{3,4,7}:{(88,1),(89,1),(91,1),(139,1),(141,1),(172,1),(183,1)}
       118:{1,4,6}:{(90,1),(91,1),(141,1),(142,1)}
       119:{1,4,5}:{(92,1),(93,1),(135,1),(180,1)}
       120:{2,4,5}:{(92,1),(136,1),(143,1)}
       121:{1,2,5}:{(93,1),(94,1),(145,1),(179,1)}
       122:{2,3,6}:{(94,1),(95,1),(145,1),(177,1)}
       123:{3,4,7}:{(96,1),(109,1),(146,1),(147,1),(185,1)}
       124:{1,3,5,7}:{(96,1),(97,1),(101,1),(110,1),(146,1),(148,1),(152,1),(185,1)}
       125:{2,5,7}:{(96,1),(98,1),(111,1),(147,1)}
       126:{1,2,6,7}:{(97,1),(98,1),(99,1),(112,1),(148,1),(149,1),(209,1)}
       127:{2,3,7}:{(99,1),(100,1),(104,1),(150,1)}
       128:{2,4,6}:{(100,1),(105,1),(114,1),(150,1),(151,1),(188,1)}
       129:{1,2,5,7}:{(101,1),(102,1),(103,1),(115,1),(152,1),(155,1),(187,1)}
       130:{3,6,7}:{(103,1),(104,1),(116,1),(152,1),(185,1)}
       131:{3,4,7}:{(104,1),(105,1),(107,1),(150,1),(154,1)}
       132:{3,5}:{(105,1),(108,1),(151,1)}
       133:{1,4,6,7}:{(106,1),(107,1),(118,1),(153,1),(155,1),(156,1),(203,1),(209,1)}
       134:{1,4,5,7}:{(107,1),(108,1),(154,1),(155,1),(156,1),(189,1)}
       135:{1,4,6}:{(109,1),(110,1),(119,1),(146,1),(161,1)}
       136:{2,4,6}:{(109,1),(111,1),(120,1),(147,1),(157,1)}
       137:{1,2,5,6}:{(110,1),(111,1),(112,1),(121,1),(148,1),(158,1),(159,1),(206,1),(209,1)}
       138:{2,3,6}:{(112,1),(113,1),(116,1),(160,1),(188,1)}
       139:{2,4,7}:{(113,1),(114,1),(117,1),(160,1),(166,1)}
       140:{3,5,6}:{(115,1),(116,1),(152,1),(161,1),(162,1)}
       141:{3,4,6}:{(116,1),(117,1),(118,1),(160,1),(161,1),(162,1)}
       142:{1,5}:{(118,1),(162,1)}
       143:{2,3,5}:{(120,1),(157,1),(163,1),(164,1),(165,1)}
       144:{1,2,4,5}:{(119,1),(120,1),(121,1),(158,1),(164,1),(165,1),(166,1),(193,1),(195,1),(206,1)}
       145:{2,3,5}:{(121,1),(122,1),(165,1),(166,1)}
       146:{1,4,7}:{(123,1),(124,1),(135,1),(172,1)}
       147:{2,4,7}:{(123,1),(125,1),(136,1),(167,1)}
       148:{1,2,5,7}:{(124,1),(125,1),(126,1),(137,1),(168,1),(169,1),(207,1)}
       149:{2,3,6,7}:{(126,1),(127,1),(130,1),(138,1),(169,1),(170,1),(208,1)}
       150:{2,4,7}:{(127,1),(128,1),(131,1),(171,1)}
       151:{2,5}:{(128,1),(132,1)}
       152:{3,5,7}:{(129,1),(130,1),(140,1),(172,1)}
       153:{3,4,6,7}:{(130,1),(131,1),(133,1),(141,1),(170,1),(172,1),(173,1),(174,1),(197,1),(200,1),(208,1)}
       154:{3,5,7}:{(131,1),(132,1),(134,1),(171,1),(174,1)}
       155:{1,5,7}:{(133,1),(142,1),(173,1),(175,1)}
       156:{1,4,6}:{(134,1),(174,1),(175,1),(200,1)}
       157:{2,3,6}:{(136,1),(143,1),(167,1),(176,1),(177,1)}
       158:{1,2,4,6}:{(135,1),(136,1),(137,1),(144,1),(168,1),(176,1),(177,1),(178,1),(201,1)}
       159:{2,3,5,6}:{(137,1),(138,1),(140,1),(145,1),(169,1),(177,1),(178,1),(179,1),(199,1),(202,1),(208,1)}
       160:{2,4,6}:{(138,1),(139,1),(141,1),(179,1)}
       161:{4,6}:{(140,1),(172,1),(180,1)}
       162:{3,5}:{(141,1),(142,1),(179,1),(180,1)}
       163:{2,3,4}:{(143,1),(181,1),(183,1)}
       164:{1,2,5}:{(143,1),(176,1),(181,1),(182,1)}
       165:{3,5}:{(144,1),(177,1),(183,1)}
       166:{2,4}:{(145,1),(183,1)}
       167:{2,3,7}:{(147,1),(157,1),(184,1),(185,1)}
       168:{1,2,4,7}:{(146,1),(147,1),(148,1),(158,1),(184,1),(185,1),(186,1),(203,1)}
       169:{2,3,5,7}:{(148,1),(149,1),(152,1),(159,1),(185,1),(186,1),(187,1),(204,1)}
       170:{2,4,6,7}:{(149,1),(150,1),(153,1),(160,1),(186,1),(187,1),(188,1),(205,1)}
       171:{2,5,7}:{(150,1),(151,1),(154,1),(188,1)}
       172:{4,7}:{(152,1),(161,1)}
       173:{3,5,7}:{(153,1),(155,1),(162,1),(187,1),(189,1),(190,1)}
       174:{3,6}:{(154,1),(156,1),(188,1)}
       175:{1,5,6}:{(155,1),(156,1),(190,1),(209,1)}
       176:{1,2,6}:{(157,1),(164,1),(184,1),(191,1)}
       177:{3,6}:{(158,1),(165,1),(185,1)}
       178:{2,4,6}:{(159,1),(161,1),(166,1),(186,1),(192,1),(193,1)}
       179:{2,5}:{(160,1),(162,1)}
       180:{4,5}:{(161,1),(162,1)}
       181:{1,2,4}:{(163,1),(164,1),(194,1),(195,1)}
       182:{1,3,5}:{(164,1),(165,1),(191,1),(194,1),(195,1),(206,1)}
       183:{3,4}:{(165,1),(166,1),(195,1)}
       184:{1,2,7}:{(167,1),(176,1),(196,1)}
       185:{3,7}:{(168,1),(177,1)}
       186:{2,4,7}:{(169,1),(172,1),(178,1),(197,1)}
       187:{2,5,7}:{(170,1),(173,1),(179,1),(199,1)}
       188:{2,6}:{(171,1),(174,1)}
       189:{4,5,7}:{(172,1),(173,1),(180,1),(200,1)}
       190:{3,5,6}:{(173,1),(174,1),(175,1),(199,1),(200,1),(208,1)}
       191:{1,3,6}:{(176,1),(177,1),(182,1),(196,1),(201,1)}
       192:{3,4,6}:{(177,1),(178,1),(183,1),(197,1),(201,1),(202,1),(208,1)}
       193:{2,4,5}:{(178,1),(179,1),(180,1),(202,1)}
       194:{1,3}:{(181,1)}
       195:{1,4}:{(182,1),(183,1)}
       196:{1,3,7}:{(184,1),(185,1),(191,1),(203,1)}
       197:{3,4,7}:{(185,1),(186,1),(192,1),(203,1),(204,1)}
       198:{2,4,5,7}:{(186,1),(187,1),(189,1),(193,1),(204,1),(205,1)}
       199:{2,5,6}:{(187,1),(188,1),(190,1),(205,1)}
       200:{4,6}:{(189,1),(190,1)}
       201:{1,4,6}:{(191,1),(192,1),(195,1),(203,1),(206,1),(209,1)}
       202:{3,5}:{(192,1),(193,1),(206,1)}
       203:{1,4,7}:{(196,1),(197,1),(201,1),(207,1)}
       204:{3,5,7}:{(197,1),(198,1),(202,1),(207,1),(208,1)}
       205:{2,4,6}:{(198,1),(199,1),(200,1),(208,1)}
       206:{1,5}:{(201,1),(202,1)}
       207:{1,5,7}:{(203,1),(204,1),(206,1),(209,1)}
       208:{3,6}:{(204,1),(205,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

1192 :   0:{2,3,4,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1),(52,1),(56,1),(84,1),(90,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(69,1),(100,1),(104,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(37,1),(72,1),(101,1)}
         3:{1,3,6,7}:{(1,1),(8,1),(29,1),(113,1),(117,1)}
         4:{1,2,5,7}:{(1,1),(2,1),(8,1),(9,1),(53,1),(114,1)}
         5:{2,3,5,6}:{(2,1),(9,1),(11,1),(29,1),(32,1)}
         6:{2,4,5,7}:{(2,1),(11,1),(12,1),(84,1),(87,1)}
         7:{2,3,5,6,7}:{(5,1),(13,1),(14,1),(36,1),(37,1),(68,1),(120,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(18,1),(125,1)}
         9:{1,2,5,6}:{(4,1),(5,1),(15,1),(17,1),(47,1),(72,1)}
        10:{1,2,4,5,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(21,1),(39,1),(42,1),(46,1),(72,1),(100,1),(102,1)}
        11:{2,4,6}:{(5,1),(6,1),(20,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(66,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(9,1),(22,1),(23,1),(53,1),(81,1),(85,1),(108,1)}
        14:{2,4,6,7}:{(7,1),(11,1),(24,1),(25,1),(84,1),(129,1)}
        15:{1,3,5,6}:{(8,1),(9,1),(26,1),(29,1),(54,1)}
        16:{1,4,7}:{(8,1),(26,1),(27,1),(132,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(11,1),(26,1),(29,1),(33,1),(56,1),(61,1)}
        18:{3,5,7}:{(10,1),(27,1),(29,1),(54,1),(113,1),(115,1)}
        19:{2,4,5,6}:{(11,1),(24,1),(32,1)}
        20:{3,4,6}:{(11,1),(12,1),(29,1),(32,1),(33,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(33,1),(53,1),(83,1),(86,1)}
        22:{1,3,5,6,7}:{(13,1),(15,1),(34,1),(36,1),(63,1),(67,1),(93,1)}
        23:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(38,1),(65,1),(69,1),(100,1),(119,1)}
        24:{2,4,5,7}:{(14,1),(19,1),(37,1),(135,1)}
        25:{3,4,6,7}:{(14,1),(20,1),(36,1),(37,1),(38,1),(66,1),(134,1)}
        26:{1,4,6}:{(15,1),(16,1),(39,1),(40,1)}
        27:{3,4,7}:{(16,1),(18,1),(40,1),(42,1),(126,1)}
        28:{1,2,4,5,6}:{(17,1),(19,1),(35,1),(39,1),(43,1),(47,1),(62,1),(72,1),(75,1),(76,1),(77,1),(94,1),(102,1),(119,1),(135,1),(139,1)}
        29:{3,6}:{(17,1),(18,1)}
        30:{1,3,5,7}:{(18,1),(21,1),(41,1),(44,1),(46,1),(71,1)}
        31:{2,3,5,7}:{(18,1),(42,1),(45,1),(46,1),(72,1),(74,1),(103,1)}
        32:{3,5,6}:{(19,1),(20,1),(37,1),(47,1)}
        33:{1,4,6}:{(20,1),(21,1),(44,1),(47,1)}
        34:{1,4,6,7}:{(22,1),(26,1),(48,1),(49,1),(83,1),(106,1)}
        35:{1,2,4,5,7}:{(23,1),(24,1),(28,1),(48,1),(50,1),(53,1),(81,1),(83,1),(84,1),(85,1)}
        36:{3,6,7}:{(23,1),(29,1),(50,1),(113,1),(128,1)}
        37:{3,5,7}:{(24,1),(25,1),(32,1),(53,1),(138,1)}
        38:{1,4,6,7}:{(25,1),(33,1),(51,1),(53,1),(83,1),(137,1)}
        39:{1,4,5}:{(26,1),(54,1)}
        40:{3,4,6}:{(26,1),(27,1),(29,1),(54,1),(56,1)}
        41:{1,3,4,7}:{(27,1),(30,1),(55,1),(57,1),(83,1),(113,1)}
        42:{2,4,7}:{(27,1),(31,1),(56,1),(116,1)}
        43:{3,5,6}:{(28,1),(29,1),(50,1),(54,1),(58,1),(115,1),(128,1),(138,1)}
        44:{1,3,6}:{(29,1),(30,1),(33,1),(61,1)}
        45:{2,3,6}:{(29,1),(31,1),(56,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(57,1),(61,1),(88,1)}
        47:{1,5,6}:{(32,1),(33,1),(53,1)}
        48:{1,4,5,7}:{(34,1),(39,1),(62,1),(63,1)}
        49:{3,4,6,7}:{(34,1),(36,1),(40,1),(63,1),(65,1),(66,1),(92,1)}
        50:{3,5,7}:{(35,1),(36,1),(43,1),(66,1)}
        51:{1,3,6,7}:{(36,1),(38,1),(44,1),(67,1),(69,1),(133,1)}
        52:{2,3,6,7}:{(36,1),(45,1),(65,1),(68,1),(69,1),(118,1)}
        53:{1,5,7}:{(37,1),(38,1),(47,1),(139,1)}
        54:{3,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,6}:{(40,1),(41,1),(44,1),(71,1),(73,1),(75,1),(105,1),(126,1)}
        56:{2,4,6}:{(40,1),(42,1),(45,1),(72,1)}
        57:{1,2,4,7}:{(41,1),(42,1),(46,1),(73,1),(74,1)}
        58:{3,4,6}:{(43,1),(66,1),(70,1),(75,1),(76,1),(105,1),(126,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(47,1),(67,1),(71,1),(75,1),(77,1),(105,1),(125,1),(133,1),(139,1)}
        60:{2,3,5,6}:{(43,1),(45,1),(68,1),(72,1),(76,1),(77,1),(94,1),(101,1),(103,1),(105,1),(118,1)}
        61:{1,2,6}:{(44,1),(45,1),(46,1)}
        62:{1,4,5,6}:{(48,1),(78,1),(106,1)}
        63:{3,5,7}:{(48,1),(49,1),(54,1),(78,1),(81,1)}
        64:{1,3,4,6,7}:{(49,1),(51,1),(55,1),(80,1),(82,1),(83,1),(106,1),(113,1),(128,1),(131,1),(137,1)}
        65:{2,4,6,7}:{(49,1),(52,1),(56,1),(81,1),(84,1),(107,1)}
        66:{3,4,7}:{(50,1),(58,1),(83,1),(84,1),(113,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(59,1),(83,1),(85,1),(113,1)}
        68:{2,3,5,7}:{(50,1),(52,1),(60,1),(81,1),(84,1),(85,1),(113,1)}
        69:{1,2,6,7}:{(51,1),(52,1),(61,1),(85,1),(127,1)}
        70:{3,4,5}:{(54,1),(58,1),(86,1),(87,1),(115,1),(138,1)}
        71:{1,3,5}:{(54,1),(55,1),(86,1),(88,1),(115,1)}
        72:{2,5}:{(54,1),(56,1)}
        73:{1,2,4,6}:{(55,1),(56,1),(57,1),(61,1),(88,1),(89,1),(116,1)}
        74:{2,3,7}:{(57,1),(89,1),(113,1)}
        75:{1,4,6}:{(58,1),(59,1),(83,1),(86,1),(132,1)}
        76:{2,4,6}:{(58,1),(60,1),(84,1),(87,1),(116,1)}
        77:{1,2,5,6}:{(59,1),(60,1),(61,1),(85,1),(88,1),(91,1),(114,1),(127,1)}
        78:{3,5,6}:{(62,1),(63,1),(92,1),(94,1)}
        79:{3,4,5,7}:{(63,1),(66,1),(70,1),(92,1),(95,1),(96,1),(122,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(71,1),(93,1),(95,1),(97,1),(122,1),(139,1)}
        81:{2,5,7}:{(63,1),(65,1),(72,1),(94,1)}
        82:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(73,1),(97,1),(98,1),(100,1),(119,1),(123,1)}
        83:{1,4,7}:{(66,1),(67,1),(75,1)}
        84:{2,4,7}:{(66,1),(68,1),(76,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(77,1),(100,1)}
        86:{1,4,5}:{(70,1),(71,1),(75,1),(139,1)}
        87:{2,4,5}:{(70,1),(72,1),(76,1),(101,1)}
        88:{1,2,5}:{(71,1),(72,1),(73,1),(103,1)}
        89:{2,3,6}:{(73,1),(74,1),(103,1),(105,1)}
        90:{2,3,4,6}:{(76,1),(99,1),(101,1),(104,1),(105,1),(118,1),(126,1),(134,1)}
        91:{1,2,4,6}:{(75,1),(76,1),(77,1),(100,1),(102,1),(105,1)}
        92:{3,4,6}:{(78,1),(79,1),(106,1),(107,1),(128,1)}
        93:{1,3,5,6}:{(78,1),(80,1),(106,1),(108,1),(128,1)}
        94:{2,5,6}:{(78,1),(81,1),(107,1)}
        95:{1,4,5,7}:{(79,1),(80,1),(83,1),(86,1),(106,1)}
        96:{2,4,5,7}:{(79,1),(81,1),(84,1),(87,1),(107,1),(109,1)}
        97:{1,2,5,7}:{(80,1),(81,1),(82,1),(88,1),(108,1),(111,1)}
        98:{2,3,6,7}:{(82,1),(89,1),(111,1),(113,1),(128,1)}
        99:{2,3,4,7}:{(84,1),(90,1),(109,1),(112,1),(113,1),(131,1)}
       100:{1,2,4,7}:{(83,1),(84,1),(85,1),(91,1),(113,1)}
       101:{2,3,5}:{(87,1),(90,1),(114,1),(115,1),(138,1)}
       102:{1,2,4,5}:{(86,1),(87,1),(88,1),(91,1),(114,1),(115,1),(116,1),(132,1)}
       103:{2,3,5}:{(88,1),(89,1),(115,1),(116,1)}
       104:{1,2,4,6}:{(90,1),(112,1),(114,1),(117,1),(127,1),(132,1),(137,1)}
       105:{3,6}:{(91,1),(113,1),(115,1)}
       106:{1,4,6}:{(92,1),(93,1),(95,1)}
       107:{2,4,6}:{(92,1),(94,1),(96,1),(118,1)}
       108:{1,2,5,6}:{(93,1),(94,1),(97,1),(119,1),(120,1),(139,1)}
       109:{2,3,5,7}:{(96,1),(99,1),(101,1),(118,1),(121,1),(122,1)}
       110:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(100,1),(102,1),(119,1),(121,1),(122,1),(123,1),(135,1),(136,1),(139,1)}
       111:{2,3,5,7}:{(97,1),(98,1),(103,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,7}:{(99,1),(104,1),(121,1),(124,1),(136,1)}
       113:{3,7}:{(100,1),(105,1)}
       114:{1,2,5}:{(101,1),(104,1),(125,1),(139,1)}
       115:{3,5}:{(102,1),(105,1),(126,1)}
       116:{2,4}:{(103,1),(126,1)}
       117:{1,3,6}:{(104,1),(105,1),(124,1),(125,1)}
       118:{2,3,6}:{(107,1),(109,1),(127,1),(128,1)}
       119:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(127,1),(128,1),(129,1),(137,1)}
       120:{2,3,5,6}:{(108,1),(111,1),(128,1),(129,1),(138,1)}
       121:{1,2,5,7}:{(109,1),(112,1),(114,1),(127,1),(130,1)}
       122:{3,5,7}:{(110,1),(113,1),(115,1),(128,1),(131,1),(138,1)}
       123:{2,4,7}:{(111,1),(116,1),(129,1),(131,1)}
       124:{1,3,7}:{(112,1),(113,1),(117,1)}
       125:{1,3,5}:{(114,1),(115,1),(117,1),(132,1)}
       126:{3,4}:{(115,1),(116,1),(132,1)}
       127:{1,2,6}:{(118,1),(121,1),(133,1)}
       128:{3,6}:{(119,1),(122,1)}
       129:{2,4,6}:{(120,1),(123,1),(134,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(124,1),(125,1),(133,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(126,1),(134,1),(136,1)}
       132:{1,4}:{(125,1),(126,1)}
       133:{1,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{3,4,6}:{(128,1),(129,1),(131,1),(137,1),(138,1)}
       135:{2,4,5}:{(129,1),(138,1)}
       136:{1,4,7}:{(130,1),(131,1),(132,1),(137,1)}
       137:{1,4,6}:{(133,1),(134,1),(136,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

1193 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(64,1),(116,1)}
         1:{2,3,4,6}:{(3,1),(5,1),(6,1),(18,1),(25,1),(28,1),(64,1),(66,1)}
         2:{1,2,3,5}:{(0,1),(8,1),(10,1),(34,1),(37,1),(87,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(10,1),(11,1),(43,1)}
         4:{1,2,3,7}:{(0,1),(11,1),(96,1),(144,1),(221,1)}
         5:{2,3,5}:{(1,1),(10,1),(12,1),(37,1),(98,1)}
         6:{2,3,4,7}:{(1,1),(11,1),(14,1),(38,1),(47,1),(96,1),(190,1)}
         7:{1,3,4,6}:{(3,1),(16,1),(17,1),(18,1),(54,1),(57,1),(64,1),(66,1)}
         8:{1,2,4}:{(2,1),(18,1)}
         9:{1,2,3,5,7}:{(2,1),(4,1),(20,1),(21,1),(23,1),(59,1),(65,1),(69,1),(117,1),(119,1)}
        10:{1,2,5}:{(3,1),(5,1),(16,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(6,1),(17,1),(23,1),(208,1)}
        12:{2,4,5}:{(5,1),(24,1),(25,1),(128,1)}
        13:{2,3,5,6}:{(5,1),(22,1),(25,1),(27,1),(28,1),(29,1),(64,1),(76,1),(127,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(23,1),(26,1),(28,1),(65,1),(207,1),(227,1)}
        15:{2,4,5,6}:{(25,1),(29,1),(30,1),(76,1),(133,1)}
        16:{1,3,5}:{(7,1),(10,1),(31,1),(37,1),(98,1)}
        17:{1,3,4,7}:{(7,1),(11,1),(33,1),(38,1),(84,1),(96,1),(189,1)}
        18:{3,4}:{(8,1),(37,1)}
        19:{1,2,4,5}:{(8,1),(10,1),(12,1),(31,1),(37,1),(39,1),(44,1),(81,1),(87,1)}
        20:{1,2,4,7}:{(8,1),(9,1),(38,1),(41,1),(147,1)}
        21:{1,2,3,6}:{(9,1),(41,1),(43,1),(97,1),(145,1)}
        22:{1,2,5,6}:{(10,1),(13,1),(32,1),(39,1),(42,1),(43,1),(50,1),(136,1)}
        23:{1,2,5,7}:{(10,1),(11,1),(14,1),(33,1),(43,1),(220,1),(230,1)}
        24:{3,4,5}:{(12,1),(37,1),(44,1),(45,1)}
        25:{2,4,6}:{(12,1),(13,1),(45,1),(47,1),(155,1)}
        26:{2,4,5,7}:{(12,1),(14,1),(46,1),(47,1),(48,1),(105,1),(196,1),(223,1)}
        27:{2,3,5,7}:{(13,1),(42,1),(47,1),(49,1),(51,1),(96,1),(105,1),(154,1)}
        28:{2,3,6}:{(14,1),(43,1),(48,1),(97,1)}
        29:{3,5,6}:{(15,1),(45,1),(50,1),(51,1)}
        30:{2,4,5,7}:{(15,1),(47,1),(51,1),(52,1),(105,1),(158,1)}
        31:{1,4,5}:{(16,1),(53,1),(54,1),(128,1)}
        32:{1,3,5,6}:{(16,1),(22,1),(54,1),(56,1),(57,1),(64,1),(108,1),(115,1),(127,1)}
        33:{1,3,5,7}:{(16,1),(17,1),(23,1),(55,1),(57,1),(65,1),(206,1),(226,1)}
        34:{1,2,3}:{(58,1)}
        35:{2,3,4}:{(18,1),(58,1),(60,1)}
        36:{1,3,4}:{(18,1),(58,1),(62,1)}
        37:{3,5}:{(18,1),(19,1),(64,1)}
        38:{3,4,7}:{(18,1),(20,1),(65,1),(66,1),(170,1),(177,1)}
        39:{1,2,4,6}:{(19,1),(22,1),(25,1),(54,1),(64,1),(67,1),(71,1),(110,1),(116,1)}
        40:{1,2,4,5,7}:{(19,1),(20,1),(23,1),(26,1),(55,1),(65,1),(67,1),(68,1),(69,1),(72,1),(111,1),(117,1),(128,1),(129,1),(169,1),(177,1),(204,1)}
        41:{1,2,4,6}:{(20,1),(21,1),(66,1),(69,1)}
        42:{1,2,5,7}:{(22,1),(27,1),(56,1),(67,1),(70,1),(77,1),(160,1)}
        43:{1,2,6}:{(23,1),(28,1),(57,1)}
        44:{1,4,5}:{(24,1),(62,1),(71,1)}
        45:{3,4,6}:{(24,1),(25,1),(29,1),(64,1),(71,1),(73,1)}
        46:{3,4,5,7}:{(24,1),(26,1),(65,1),(72,1),(73,1),(74,1),(128,1),(132,1),(176,1),(177,1),(211,1)}
        47:{2,4,7}:{(25,1),(27,1),(73,1),(177,1)}
        48:{2,4,6}:{(26,1),(28,1),(74,1),(76,1)}
        49:{2,3,6,7}:{(27,1),(28,1),(70,1),(75,1),(78,1),(126,1),(227,1)}
        50:{1,5,6}:{(29,1),(71,1),(77,1)}
        51:{3,5,7}:{(29,1),(30,1),(73,1),(77,1),(78,1)}
        52:{2,4,6,7}:{(30,1),(78,1),(79,1),(135,1)}
        53:{3,4,5}:{(31,1),(37,1),(81,1),(82,1)}
        54:{1,4,6}:{(31,1),(32,1),(82,1),(84,1),(155,1)}
        55:{1,4,5,7}:{(31,1),(33,1),(83,1),(84,1),(85,1),(143,1),(193,1),(222,1)}
        56:{1,3,5,7}:{(32,1),(42,1),(84,1),(86,1),(96,1),(137,1),(143,1),(154,1)}
        57:{1,3,6}:{(33,1),(43,1),(85,1),(97,1)}
        58:{1,2,4}:{(34,1),(35,1),(36,1),(87,1)}
        59:{1,2,3,7}:{(34,1),(88,1),(89,1),(217,1),(230,1)}
        60:{2,3,5}:{(35,1),(37,1),(81,1),(87,1),(90,1)}
        61:{2,3,4,7}:{(35,1),(38,1),(88,1),(91,1),(92,1),(191,1),(217,1)}
        62:{1,3,5}:{(36,1),(37,1),(44,1),(87,1),(93,1)}
        63:{1,3,4,7}:{(36,1),(38,1),(88,1),(94,1),(95,1),(194,1),(217,1)}
        64:{3,6}:{(37,1),(39,1),(96,1)}
        65:{3,5,7}:{(37,1),(38,1),(40,1),(96,1),(97,1),(98,1),(188,1),(217,1)}
        66:{3,4,6}:{(38,1),(41,1),(97,1),(98,1),(155,1)}
        67:{1,2,4,7}:{(39,1),(42,1),(47,1),(84,1),(96,1),(101,1),(139,1),(144,1)}
        68:{1,2,4,6}:{(40,1),(43,1),(48,1),(85,1),(97,1),(100,1),(102,1),(140,1),(145,1),(155,1)}
        69:{1,2,5}:{(41,1),(98,1)}
        70:{1,2,6,7}:{(42,1),(43,1),(49,1),(86,1),(106,1),(181,1),(230,1)}
        71:{1,4,6}:{(44,1),(45,1),(50,1),(93,1),(101,1)}
        72:{1,4,5,7}:{(44,1),(46,1),(94,1),(101,1),(102,1),(153,1),(156,1),(194,1)}
        73:{3,4,7}:{(45,1),(47,1),(51,1),(96,1),(101,1)}
        74:{3,4,6}:{(46,1),(48,1),(97,1),(102,1),(104,1),(155,1)}
        75:{2,4,6,7}:{(47,1),(48,1),(49,1),(103,1),(105,1),(199,1),(223,1)}
        76:{2,5,6}:{(48,1),(104,1),(105,1)}
        77:{1,5,7}:{(50,1),(51,1),(101,1),(106,1)}
        78:{3,6,7}:{(51,1),(52,1),(106,1)}
        79:{2,5,6,7}:{(52,1),(105,1),(107,1),(199,1)}
        80:{1,4,5,6}:{(54,1),(108,1),(109,1),(115,1),(166,1)}
        81:{2,4,5}:{(53,1),(60,1),(110,1)}
        82:{3,4,6}:{(53,1),(54,1),(64,1),(108,1),(110,1),(112,1)}
        83:{3,4,5,7}:{(53,1),(55,1),(65,1),(111,1),(112,1),(113,1),(128,1),(165,1),(173,1),(177,1),(209,1)}
        84:{1,4,7}:{(54,1),(56,1),(112,1),(177,1)}
        85:{1,4,6}:{(55,1),(57,1),(113,1),(115,1)}
        86:{1,3,6,7}:{(56,1),(57,1),(70,1),(114,1),(126,1),(161,1),(226,1)}
        87:{1,2,5}:{(58,1),(60,1),(62,1),(116,1)}
        88:{1,2,4,7}:{(58,1),(59,1),(61,1),(63,1),(117,1),(118,1)}
        89:{1,2,3,6}:{(59,1),(118,1),(119,1),(205,1),(228,1)}
        90:{2,3,6}:{(60,1),(64,1),(110,1),(116,1),(120,1)}
        91:{2,3,5,7}:{(60,1),(61,1),(65,1),(111,1),(117,1),(120,1),(121,1),(122,1)}
        92:{2,3,4,6}:{(61,1),(66,1),(118,1),(121,1),(122,1),(170,1),(172,1),(205,1)}
        93:{1,3,6}:{(62,1),(64,1),(71,1),(116,1),(123,1)}
        94:{1,3,5,7}:{(62,1),(63,1),(65,1),(72,1),(117,1),(123,1),(124,1),(125,1)}
        95:{1,3,4,6}:{(63,1),(66,1),(118,1),(124,1),(125,1),(170,1),(175,1),(205,1)}
        96:{3,7}:{(64,1),(67,1)}
        97:{3,6}:{(65,1),(68,1)}
        98:{3,5}:{(66,1),(69,1),(128,1)}
        99:{1,2,4,6,7}:{(67,1),(68,1),(70,1),(75,1),(114,1),(126,1),(129,1),(130,1),(163,1),(167,1),(177,1),(204,1)}
       100:{1,2,5,6}:{(68,1),(69,1),(76,1),(115,1),(127,1),(129,1),(131,1),(164,1)}
       101:{1,4,7}:{(71,1),(73,1),(77,1),(123,1)}
       102:{1,4,6}:{(72,1),(74,1),(124,1),(131,1)}
       103:{3,4,6,7}:{(73,1),(74,1),(75,1),(78,1),(126,1),(130,1),(132,1),(135,1),(177,1),(180,1),(211,1)}
       104:{3,5,6}:{(74,1),(76,1),(131,1),(132,1),(133,1)}
       105:{2,5,7}:{(75,1),(76,1),(132,1)}
       106:{1,6,7}:{(77,1),(78,1)}
       107:{3,5,6,7}:{(78,1),(79,1),(132,1),(134,1),(135,1),(180,1)}
       108:{3,5,6}:{(80,1),(82,1),(136,1),(137,1)}
       109:{1,4,5,7}:{(80,1),(84,1),(137,1),(138,1),(143,1),(185,1)}
       110:{2,4,6}:{(81,1),(82,1),(90,1),(136,1),(139,1)}
       111:{2,4,5,7}:{(81,1),(83,1),(91,1),(139,1),(140,1),(150,1),(183,1),(191,1)}
       112:{3,4,7}:{(82,1),(84,1),(96,1),(137,1),(139,1)}
       113:{3,4,6}:{(83,1),(85,1),(97,1),(140,1),(142,1),(155,1)}
       114:{1,4,6,7}:{(84,1),(85,1),(86,1),(141,1),(143,1),(222,1),(229,1)}
       115:{1,5,6}:{(85,1),(142,1),(143,1)}
       116:{1,2,6}:{(87,1),(90,1),(93,1),(144,1)}
       117:{1,2,5,7}:{(87,1),(88,1),(91,1),(94,1),(144,1),(145,1),(146,1)}
       118:{1,2,4,6}:{(88,1),(89,1),(92,1),(95,1),(145,1),(146,1),(147,1)}
       119:{1,2,3,5}:{(89,1),(146,1),(147,1),(188,1),(220,1),(221,1)}
       120:{2,3,7}:{(90,1),(96,1),(139,1),(144,1)}
       121:{2,3,6}:{(91,1),(97,1),(140,1),(145,1)}
       122:{2,3,5}:{(92,1),(98,1),(146,1),(150,1),(188,1)}
       123:{1,3,7}:{(93,1),(96,1),(101,1),(144,1)}
       124:{1,3,6}:{(94,1),(97,1),(102,1),(145,1)}
       125:{1,3,5}:{(95,1),(98,1),(146,1),(153,1),(188,1)}
       126:{3,6,7}:{(96,1),(97,1),(99,1),(154,1),(217,1)}
       127:{3,5,6}:{(97,1),(98,1),(100,1),(154,1),(155,1)}
       128:{4,5}:{(98,1),(155,1)}
       129:{1,2,5,7}:{(99,1),(100,1),(105,1),(143,1),(154,1),(156,1),(183,1)}
       130:{1,4,6,7}:{(101,1),(102,1),(103,1),(106,1),(151,1),(156,1),(194,1)}
       131:{1,5,6}:{(102,1),(104,1),(156,1)}
       132:{3,5,7}:{(103,1),(104,1),(105,1),(156,1),(158,1)}
       133:{4,5,6}:{(104,1),(155,1),(158,1)}
       134:{1,5,6,7}:{(106,1),(107,1),(156,1),(159,1)}
       135:{4,6,7}:{(107,1),(158,1)}
       136:{2,5,6}:{(108,1),(110,1),(160,1)}
       137:{3,5,7}:{(108,1),(109,1),(112,1),(160,1),(161,1)}
       138:{1,4,6,7}:{(109,1),(161,1),(162,1),(201,1)}
       139:{2,4,7}:{(110,1),(112,1),(120,1),(160,1)}
       140:{2,4,6}:{(111,1),(113,1),(121,1),(164,1)}
       141:{3,4,6,7}:{(112,1),(113,1),(114,1),(126,1),(161,1),(163,1),(165,1),(177,1),(201,1),(209,1),(224,1)}
       142:{3,5,6}:{(113,1),(115,1),(164,1),(165,1),(166,1)}
       143:{1,5,7}:{(114,1),(115,1),(165,1)}
       144:{1,2,7}:{(116,1),(120,1),(123,1)}
       145:{1,2,6}:{(117,1),(121,1),(124,1)}
       146:{1,2,5}:{(118,1),(122,1),(125,1)}
       147:{1,2,4}:{(119,1),(170,1)}
       148:{2,3,6,7}:{(120,1),(121,1),(126,1),(163,1),(167,1),(171,1),(224,1)}
       149:{2,3,5,6}:{(121,1),(122,1),(127,1),(164,1),(168,1),(171,1),(172,1),(203,1),(205,1)}
       150:{2,4,5}:{(122,1),(128,1),(172,1),(173,1)}
       151:{1,3,6,7}:{(123,1),(124,1),(126,1),(130,1),(167,1),(174,1),(180,1)}
       152:{1,3,5,6}:{(124,1),(125,1),(127,1),(131,1),(168,1),(174,1),(175,1),(179,1),(205,1)}
       153:{1,4,5}:{(125,1),(128,1),(175,1),(176,1)}
       154:{3,5,7}:{(126,1),(127,1),(129,1),(177,1)}
       155:{4,6}:{(127,1),(128,1),(177,1)}
       156:{1,5,7}:{(130,1),(131,1),(132,1)}
       157:{1,4,5,6}:{(131,1),(133,1),(175,1),(178,1),(179,1)}
       158:{4,5,7}:{(132,1),(133,1),(135,1),(177,1)}
       159:{1,4,6,7}:{(134,1),(135,1),(178,1),(180,1)}
       160:{2,5,7}:{(136,1),(137,1),(139,1),(181,1)}
       161:{3,6,7}:{(137,1),(138,1),(181,1)}
       162:{1,5,6,7}:{(138,1),(143,1),(182,1),(229,1)}
       163:{2,4,6,7}:{(139,1),(140,1),(141,1),(148,1),(181,1),(183,1),(191,1)}
       164:{2,5,6}:{(140,1),(142,1),(183,1)}
       165:{3,5,7}:{(141,1),(142,1),(143,1),(183,1),(185,1)}
       166:{4,5,6}:{(142,1),(155,1),(185,1)}
       167:{1,2,6,7}:{(144,1),(145,1),(148,1),(151,1),(186,1),(199,1),(229,1)}
       168:{1,2,5,6}:{(145,1),(146,1),(149,1),(152,1),(186,1),(187,1),(198,1),(216,1)}
       169:{1,2,4,5}:{(146,1),(147,1),(150,1),(153,1),(187,1),(188,1),(193,1),(196,1),(220,1)}
       170:{3,4}:{(147,1),(188,1)}
       171:{2,3,5,7}:{(148,1),(149,1),(154,1),(183,1),(186,1),(191,1),(215,1),(217,1)}
       172:{2,4,6}:{(149,1),(150,1),(155,1),(191,1),(192,1)}
       173:{3,4,5}:{(150,1),(188,1),(192,1),(193,1)}
       174:{1,3,5,7}:{(151,1),(152,1),(154,1),(156,1),(186,1),(194,1),(197,1),(217,1)}
       175:{1,4,6}:{(152,1),(153,1),(155,1),(194,1),(195,1)}
       176:{3,4,5}:{(153,1),(188,1),(195,1),(196,1)}
       177:{4,7}:{(154,1),(155,1)}
       178:{1,4,5,7}:{(156,1),(157,1),(158,1),(159,1),(194,1),(197,1)}
       179:{3,5,6}:{(157,1),(195,1),(197,1),(198,1)}
       180:{3,6,7}:{(159,1),(197,1),(199,1)}
       181:{2,6,7}:{(160,1),(161,1)}
       182:{3,5,6,7}:{(161,1),(162,1),(165,1),(200,1),(201,1),(224,1)}
       183:{2,5,7}:{(163,1),(164,1),(165,1)}
       184:{2,4,5,6}:{(164,1),(166,1),(172,1),(202,1),(203,1)}
       185:{4,5,7}:{(165,1),(166,1),(177,1),(201,1)}
       186:{1,2,5,7}:{(167,1),(168,1),(171,1),(174,1),(204,1),(213,1),(225,1)}
       187:{1,2,4,6}:{(168,1),(169,1),(172,1),(175,1),(204,1),(205,1),(210,1),(212,1),(228,1)}
       188:{3,5}:{(169,1),(170,1),(205,1)}
       189:{1,3,4}:{(170,1),(206,1),(208,1)}
       190:{2,3,4}:{(170,1),(207,1),(208,1)}
       191:{2,4,7}:{(171,1),(172,1),(177,1),(209,1)}
       192:{3,4,6}:{(172,1),(173,1),(203,1),(205,1),(209,1),(210,1)}
       193:{1,4,5}:{(173,1),(206,1),(210,1)}
       194:{1,4,7}:{(174,1),(175,1),(177,1),(211,1)}
       195:{3,4,6}:{(175,1),(176,1),(179,1),(205,1),(211,1),(212,1)}
       196:{2,4,5}:{(176,1),(207,1),(212,1)}
       197:{3,5,7}:{(178,1),(179,1),(180,1),(211,1),(213,1)}
       198:{2,5,6}:{(179,1),(212,1),(213,1)}
       199:{2,6,7}:{(180,1),(213,1)}
       200:{2,5,6,7}:{(181,1),(182,1),(183,1),(214,1)}
       201:{4,6,7}:{(182,1),(185,1)}
       202:{2,4,5,7}:{(183,1),(184,1),(185,1),(191,1),(214,1),(215,1)}
       203:{3,5,6}:{(184,1),(192,1),(215,1),(216,1)}
       204:{1,2,4,7}:{(186,1),(187,1),(191,1),(194,1),(217,1),(222,1),(223,1),(230,1)}
       205:{3,6}:{(187,1),(188,1),(217,1)}
       206:{1,3,5}:{(188,1),(189,1),(193,1),(218,1),(220,1)}
       207:{2,3,5}:{(188,1),(190,1),(196,1),(219,1),(220,1)}
       208:{1,2,4}:{(189,1),(190,1),(220,1),(221,1)}
       209:{3,4,7}:{(191,1),(192,1),(215,1),(217,1),(222,1)}
       210:{1,4,6}:{(192,1),(193,1),(216,1),(218,1),(222,1)}
       211:{3,4,7}:{(194,1),(195,1),(197,1),(217,1),(223,1)}
       212:{2,4,6}:{(195,1),(196,1),(198,1),(219,1),(223,1)}
       213:{2,5,7}:{(197,1),(198,1),(199,1),(223,1)}
       214:{2,4,6,7}:{(200,1),(201,1),(202,1),(224,1)}
       215:{3,5,7}:{(202,1),(203,1),(209,1),(224,1),(225,1)}
       216:{1,5,6}:{(203,1),(210,1),(225,1)}
       217:{3,7}:{(204,1),(205,1)}
       218:{1,3,6}:{(205,1),(206,1),(210,1),(226,1),(228,1)}
       219:{2,3,6}:{(205,1),(207,1),(212,1),(227,1),(228,1)}
       220:{1,2,5}:{(206,1),(207,1),(208,1),(228,1)}
       221:{1,2,3}:{(208,1)}
       222:{1,4,7}:{(209,1),(210,1),(225,1),(226,1)}
       223:{2,4,7}:{(211,1),(212,1),(213,1),(227,1)}
       224:{3,6,7}:{(214,1),(215,1),(229,1)}
       225:{1,5,7}:{(215,1),(216,1),(222,1),(229,1)}
       226:{1,3,7}:{(217,1),(218,1),(222,1),(230,1)}
       227:{2,3,7}:{(217,1),(219,1),(223,1),(230,1)}
       228:{1,2,6}:{(218,1),(219,1),(220,1),(230,1)}
       229:{1,6,7}:{(224,1),(225,1)}
       230:{1,2,7}:{(226,1),(227,1),(228,1)}

1194 :   0:{2,4,5,6}:{(3,1),(4,1),(25,1),(80,1),(81,1)}
         1:{2,3,4,6}:{(5,1),(6,1),(7,1),(25,1),(38,1),(71,1),(76,1),(114,1),(130,1)}
         2:{3,4,5}:{(9,1),(10,1),(11,1),(50,1)}
         3:{3,5,6}:{(0,1),(9,1),(13,1),(15,1)}
         4:{2,4,5,7}:{(0,1),(15,1),(16,1),(48,1),(103,1),(104,1)}
         5:{2,3,5}:{(1,1),(11,1),(17,1),(50,1),(137,1),(153,1)}
         6:{1,2,4,6}:{(1,1),(17,1),(19,1),(20,1),(60,1),(62,1),(113,1)}
         7:{2,3,4,7}:{(1,1),(18,1),(20,1),(48,1),(100,1),(105,1),(138,1),(187,1)}
         8:{1,3,4}:{(21,1),(22,1),(76,1)}
         9:{3,4,6}:{(2,1),(3,1),(24,1),(25,1),(26,1),(71,1)}
        10:{1,4,5}:{(2,1),(21,1),(24,1)}
        11:{2,4,5}:{(2,1),(5,1),(25,1),(175,1)}
        12:{3,4,5,7}:{(2,1),(26,1),(28,1),(29,1),(30,1),(75,1),(77,1),(124,1),(163,1),(173,1),(175,1)}
        13:{1,5,6}:{(3,1),(24,1),(32,1)}
        14:{2,3,5,6}:{(3,1),(5,1),(25,1),(31,1),(33,1),(38,1),(71,1),(80,1),(131,1)}
        15:{3,5,7}:{(3,1),(4,1),(26,1),(32,1),(34,1)}
        16:{2,4,6,7}:{(4,1),(34,1),(35,1),(86,1)}
        17:{1,2,5}:{(5,1),(6,1),(36,1),(136,1)}
        18:{2,3,5,7}:{(5,1),(7,1),(29,1),(37,1),(38,1),(77,1),(159,1),(170,1),(195,1)}
        19:{1,3,6}:{(6,1),(36,1),(39,1),(71,1)}
        20:{1,2,4,7}:{(6,1),(7,1),(37,1),(39,1),(87,1),(199,1)}
        21:{1,3,5}:{(8,1),(10,1),(40,1),(41,1),(50,1)}
        22:{1,2,4}:{(8,1),(41,1),(43,1),(92,1)}
        23:{1,3,4,7}:{(8,1),(42,1),(44,1),(45,1),(105,1),(141,1),(180,1),(203,1)}
        24:{1,4,6}:{(9,1),(10,1),(13,1),(40,1),(47,1)}
        25:{2,4,6}:{(9,1),(11,1),(14,1),(48,1),(154,1)}
        26:{3,4,7}:{(9,1),(15,1),(47,1),(48,1),(100,1)}
        27:{1,2,4,5}:{(10,1),(11,1),(17,1),(41,1),(46,1),(50,1),(60,1),(92,1),(109,1),(137,1)}
        28:{1,4,5,7}:{(10,1),(12,1),(42,1),(47,1),(52,1),(98,1),(102,1),(141,1)}
        29:{2,4,5,7}:{(11,1),(12,1),(18,1),(48,1),(53,1),(103,1),(148,1),(181,1)}
        30:{3,4,6}:{(12,1),(52,1),(53,1),(54,1),(106,1),(154,1)}
        31:{1,2,5,6}:{(13,1),(14,1),(17,1),(46,1),(55,1),(56,1),(62,1),(137,1),(177,1)}
        32:{1,5,7}:{(13,1),(15,1),(47,1),(57,1)}
        33:{2,3,5,7}:{(14,1),(15,1),(48,1),(56,1),(58,1),(100,1),(103,1),(151,1)}
        34:{3,6,7}:{(15,1),(16,1),(57,1)}
        35:{2,5,6,7}:{(16,1),(59,1),(103,1),(158,1)}
        36:{1,3,5}:{(17,1),(19,1),(50,1),(60,1)}
        37:{1,2,5,7}:{(17,1),(18,1),(20,1),(61,1),(62,1),(188,1),(204,1)}
        38:{2,3,6}:{(18,1),(53,1),(62,1),(106,1),(177,1)}
        39:{1,3,7}:{(19,1),(20,1),(100,1),(206,1)}
        40:{1,3,6}:{(21,1),(24,1),(63,1),(64,1),(71,1)}
        41:{1,2,5}:{(21,1),(22,1),(63,1),(65,1)}
        42:{1,3,5,7}:{(21,1),(23,1),(28,1),(64,1),(66,1),(67,1),(70,1),(77,1),(208,1)}
        43:{2,3}:{(22,1)}
        44:{1,2,4,7}:{(22,1),(23,1),(66,1),(68,1),(69,1),(118,1)}
        45:{1,3,4,6}:{(23,1),(67,1),(69,1),(70,1),(121,1),(130,1),(166,1),(168,1),(197,1)}
        46:{1,2,4,6}:{(24,1),(25,1),(27,1),(31,1),(63,1),(71,1),(72,1),(82,1),(114,1)}
        47:{1,4,7}:{(24,1),(26,1),(32,1),(64,1)}
        48:{2,4,7}:{(25,1),(26,1),(33,1),(173,1)}
        49:{3,4,6,7}:{(26,1),(30,1),(34,1),(73,1),(74,1),(75,1),(86,1),(127,1),(135,1),(163,1),(173,1)}
        50:{3,5}:{(27,1),(71,1),(76,1)}
        51:{1,2,4,5,7}:{(27,1),(28,1),(29,1),(37,1),(66,1),(72,1),(77,1),(78,1),(87,1),(118,1),(123,1),(128,1),(133,1),(136,1),(159,1),(162,1),(164,1),(173,1),(175,1),(192,1),(208,1)}
        52:{1,4,6}:{(28,1),(30,1),(67,1),(79,1)}
        53:{2,4,6}:{(29,1),(30,1),(38,1),(80,1)}
        54:{3,5,6}:{(30,1),(75,1),(79,1),(80,1),(81,1)}
        55:{1,3,5,6}:{(31,1),(36,1),(71,1),(82,1),(83,1),(88,1),(125,1),(131,1),(136,1),(171,1),(176,1)}
        56:{1,2,5,7}:{(31,1),(32,1),(33,1),(72,1),(83,1),(84,1),(159,1)}
        57:{1,6,7}:{(32,1),(34,1)}
        58:{2,3,6,7}:{(33,1),(34,1),(38,1),(74,1),(84,1),(127,1),(195,1)}
        59:{3,5,6,7}:{(34,1),(35,1),(75,1),(85,1),(86,1),(135,1)}
        60:{1,4}:{(36,1),(76,1)}
        61:{1,3,5,7}:{(36,1),(37,1),(39,1),(77,1),(87,1),(88,1),(136,1),(169,1),(194,1),(208,1)}
        62:{1,2,6}:{(37,1),(38,1),(88,1)}
        63:{1,2,6}:{(40,1),(41,1),(89,1),(90,1)}
        64:{1,3,7}:{(40,1),(47,1),(90,1),(100,1)}
        65:{2,3,5}:{(41,1),(43,1),(50,1),(89,1),(92,1),(137,1)}
        66:{1,2,5,7}:{(41,1),(42,1),(44,1),(90,1),(93,1),(94,1),(97,1)}
        67:{1,3,6}:{(42,1),(52,1),(94,1),(106,1),(209,1)}
        68:{2,3,7}:{(43,1),(44,1),(96,1),(180,1)}
        69:{1,2,4,6}:{(44,1),(45,1),(94,1),(96,1),(97,1),(142,1),(146,1)}
        70:{1,3,5}:{(45,1),(97,1),(98,1),(147,1),(153,1),(205,1)}
        71:{3,6}:{(46,1),(50,1),(100,1)}
        72:{1,2,4,7}:{(46,1),(47,1),(48,1),(56,1),(90,1),(100,1),(110,1),(138,1)}
        73:{1,4,6,7}:{(47,1),(49,1),(52,1),(57,1),(91,1),(102,1),(141,1)}
        74:{2,4,6,7}:{(48,1),(49,1),(53,1),(58,1),(103,1),(158,1),(181,1)}
        75:{3,5,7}:{(49,1),(54,1),(102,1),(103,1),(104,1)}
        76:{3,4}:{(50,1),(60,1),(92,1)}
        77:{3,5,7}:{(50,1),(51,1),(100,1),(105,1),(106,1),(147,1),(153,1),(180,1)}
        78:{1,2,4,6}:{(51,1),(52,1),(53,1),(62,1),(94,1),(106,1),(107,1),(113,1),(142,1),(154,1),(156,1),(177,1),(201,1),(209,1)}
        79:{1,5,6}:{(52,1),(54,1),(102,1)}
        80:{2,5,6}:{(53,1),(54,1),(103,1)}
        81:{4,5,6}:{(54,1),(104,1),(154,1)}
        82:{1,4,6}:{(55,1),(60,1),(99,1),(109,1),(110,1),(154,1)}
        83:{1,3,5,7}:{(55,1),(56,1),(100,1),(110,1),(111,1),(149,1),(151,1),(157,1)}
        84:{1,2,6,7}:{(56,1),(57,1),(58,1),(62,1),(111,1),(177,1),(204,1)}
        85:{1,5,6,7}:{(57,1),(59,1),(102,1),(112,1)}
        86:{4,6,7}:{(59,1),(104,1)}
        87:{1,4,7}:{(60,1),(61,1),(105,1),(113,1),(186,1)}
        88:{1,3,6}:{(61,1),(62,1),(106,1),(113,1),(209,1)}
        89:{2,3,6}:{(63,1),(65,1),(71,1),(114,1),(115,1)}
        90:{1,2,7}:{(63,1),(64,1),(115,1)}
        91:{1,3,6,7}:{(64,1),(67,1),(73,1),(116,1),(117,1),(127,1),(135,1)}
        92:{2,4}:{(65,1),(76,1)}
        93:{2,3,5,7}:{(65,1),(66,1),(68,1),(77,1),(115,1),(118,1),(119,1),(122,1),(159,1),(164,1)}
        94:{1,2,6}:{(66,1),(67,1),(119,1)}
        95:{1,3,5,6}:{(67,1),(70,1),(79,1),(117,1),(120,1),(121,1),(131,1),(132,1),(166,1)}
        96:{2,3,6}:{(68,1),(69,1),(122,1),(166,1)}
        97:{1,2,5}:{(69,1),(70,1),(122,1),(164,1)}
        98:{1,4,5}:{(70,1),(121,1),(124,1),(175,1)}
        99:{3,4,6}:{(71,1),(76,1),(82,1),(114,1),(125,1),(126,1),(171,1)}
       100:{3,7}:{(71,1),(72,1)}
       101:{1,2,4,6,7}:{(72,1),(73,1),(74,1),(78,1),(84,1),(116,1),(127,1),(128,1),(134,1),(160,1),(162,1),(173,1)}
       102:{1,5,7}:{(73,1),(75,1),(79,1)}
       103:{2,5,7}:{(74,1),(75,1),(80,1)}
       104:{4,5,7}:{(75,1),(81,1),(86,1),(173,1)}
       105:{3,4,7}:{(76,1),(77,1),(87,1),(118,1),(130,1),(168,1),(173,1)}
       106:{3,6}:{(77,1),(78,1)}
       107:{1,2,5,6}:{(78,1),(79,1),(80,1),(128,1),(131,1),(136,1),(164,1),(176,1),(191,1)}
       108:{1,4,5,6}:{(79,1),(81,1),(121,1),(129,1),(132,1)}
       109:{1,4,5}:{(82,1),(125,1),(136,1),(175,1)}
       110:{1,4,7}:{(82,1),(83,1),(126,1),(173,1)}
       111:{1,3,6,7}:{(83,1),(84,1),(88,1),(127,1),(134,1),(171,1),(194,1)}
       112:{1,4,6,7}:{(85,1),(86,1),(129,1),(135,1)}
       113:{1,4,6}:{(87,1),(88,1),(130,1),(136,1)}
       114:{2,4,6}:{(89,1),(92,1),(99,1),(137,1),(138,1),(177,1)}
       115:{2,3,7}:{(89,1),(90,1),(100,1),(138,1)}
       116:{1,2,6,7}:{(90,1),(91,1),(94,1),(139,1),(140,1),(158,1),(209,1)}
       117:{1,3,5,7}:{(91,1),(95,1),(102,1),(140,1),(141,1),(151,1),(152,1),(180,1)}
       118:{2,4,7}:{(92,1),(93,1),(105,1),(142,1),(146,1)}
       119:{2,3,6}:{(93,1),(94,1),(106,1),(142,1),(177,1)}
       120:{1,2,5,6}:{(94,1),(95,1),(97,1),(140,1),(143,1),(144,1),(155,1),(205,1),(209,1)}
       121:{1,4,6}:{(95,1),(98,1),(141,1),(145,1),(154,1)}
       122:{2,3,5}:{(96,1),(97,1),(146,1),(147,1)}
       123:{1,2,4,5}:{(97,1),(98,1),(144,1),(146,1),(147,1),(148,1),(182,1),(186,1),(188,1),(205,1)}
       124:{3,4,5}:{(98,1),(145,1),(147,1),(148,1)}
       125:{3,5}:{(99,1),(109,1),(137,1)}
       126:{3,4,7}:{(99,1),(100,1),(110,1),(138,1),(149,1)}
       127:{3,6,7}:{(100,1),(101,1),(106,1),(151,1),(180,1)}
       128:{1,2,5,7}:{(101,1),(102,1),(103,1),(107,1),(151,1),(157,1),(178,1)}
       129:{1,4,5,7}:{(102,1),(104,1),(108,1),(112,1),(141,1),(152,1)}
       130:{3,4,6}:{(105,1),(106,1),(113,1),(142,1),(153,1),(154,1)}
       131:{3,5,6}:{(106,1),(107,1),(151,1),(153,1),(154,1)}
       132:{3,5,6}:{(108,1),(145,1),(152,1),(155,1)}
       133:{1,4,5,7}:{(109,1),(110,1),(149,1),(156,1),(157,1),(190,1)}
       134:{1,4,6,7}:{(110,1),(111,1),(113,1),(150,1),(156,1),(157,1),(203,1),(209,1)}
       135:{3,6,7}:{(112,1),(152,1),(158,1)}
       136:{1,5}:{(113,1),(153,1)}
       137:{2,5}:{(114,1),(125,1)}
       138:{2,4,7}:{(114,1),(115,1),(126,1),(159,1)}
       139:{2,3,6,7}:{(115,1),(116,1),(119,1),(127,1),(160,1),(161,1),(207,1)}
       140:{1,2,5,7}:{(116,1),(117,1),(120,1),(161,1),(162,1),(174,1),(208,1)}
       141:{1,4,7}:{(117,1),(121,1),(163,1),(173,1)}
       142:{2,4,6}:{(118,1),(119,1),(130,1),(164,1)}
       143:{2,3,5,6}:{(119,1),(120,1),(122,1),(131,1),(161,1),(164,1),(165,1),(166,1),(191,1),(196,1),(207,1)}
       144:{1,2,4,6}:{(120,1),(121,1),(123,1),(162,1),(165,1),(166,1),(167,1),(197,1),(198,1)}
       145:{3,4,6}:{(121,1),(124,1),(132,1),(163,1),(166,1),(167,1)}
       146:{2,4}:{(122,1),(168,1)}
       147:{3,5}:{(123,1),(166,1),(168,1)}
       148:{2,4,5}:{(124,1),(167,1),(170,1)}
       149:{3,5,7}:{(125,1),(126,1),(133,1),(159,1),(171,1)}
       150:{3,4,6,7}:{(126,1),(127,1),(130,1),(134,1),(160,1),(171,1),(172,1),(173,1),(193,1),(200,1),(207,1)}
       151:{3,5,7}:{(127,1),(128,1),(131,1),(173,1)}
       152:{3,5,7}:{(129,1),(132,1),(135,1),(163,1),(174,1)}
       153:{3,5}:{(130,1),(136,1),(164,1),(175,1)}
       154:{4,6}:{(131,1),(173,1),(175,1)}
       155:{2,5,6}:{(132,1),(167,1),(174,1)}
       156:{1,4,6}:{(133,1),(171,1),(176,1),(200,1)}
       157:{1,5,7}:{(134,1),(136,1),(172,1),(176,1)}
       158:{2,6,7}:{(135,1),(174,1)}
       159:{2,5,7}:{(137,1),(138,1),(149,1),(177,1)}
       160:{2,4,6,7}:{(138,1),(139,1),(142,1),(150,1),(177,1),(178,1),(179,1),(201,1)}
       161:{2,3,5,7}:{(139,1),(140,1),(143,1),(151,1),(178,1),(179,1),(180,1),(202,1)}
       162:{1,2,4,7}:{(140,1),(141,1),(144,1),(179,1),(180,1),(181,1),(203,1),(204,1)}
       163:{3,4,7}:{(141,1),(145,1),(152,1),(180,1),(181,1)}
       164:{2,5}:{(142,1),(153,1)}
       165:{2,4,6}:{(143,1),(146,1),(154,1),(179,1),(182,1),(183,1)}
       166:{3,6}:{(144,1),(147,1),(180,1)}
       167:{2,4,6}:{(145,1),(148,1),(155,1),(181,1),(185,1)}
       168:{3,4}:{(146,1),(147,1),(186,1)}
       169:{1,3,5}:{(147,1),(184,1),(186,1),(188,1),(205,1),(206,1)}
       170:{2,3,5}:{(147,1),(148,1),(185,1),(187,1),(188,1)}
       171:{3,6}:{(149,1),(156,1),(177,1)}
       172:{3,5,7}:{(150,1),(153,1),(157,1),(178,1),(189,1),(190,1)}
       173:{4,7}:{(151,1),(154,1)}
       174:{2,5,7}:{(152,1),(155,1),(158,1),(181,1)}
       175:{4,5}:{(153,1),(154,1)}
       176:{1,5,6}:{(156,1),(157,1),(189,1),(209,1)}
       177:{2,6}:{(159,1),(171,1)}
       178:{2,5,7}:{(160,1),(164,1),(172,1),(191,1)}
       179:{2,4,7}:{(161,1),(165,1),(173,1),(193,1)}
       180:{3,7}:{(162,1),(166,1)}
       181:{2,4,7}:{(163,1),(167,1),(174,1),(195,1)}
       182:{2,4,5}:{(164,1),(165,1),(175,1),(196,1)}
       183:{3,4,6}:{(165,1),(166,1),(168,1),(193,1),(196,1),(197,1),(207,1)}
       184:{1,3,6}:{(166,1),(169,1),(194,1),(197,1),(198,1)}
       185:{2,3,6}:{(166,1),(167,1),(170,1),(195,1),(198,1)}
       186:{1,4}:{(168,1),(169,1)}
       187:{2,3,4}:{(168,1),(170,1),(199,1)}
       188:{1,2,5}:{(169,1),(170,1),(198,1),(199,1)}
       189:{3,5,6}:{(171,1),(172,1),(176,1),(191,1),(200,1),(207,1)}
       190:{4,5,7}:{(172,1),(173,1),(175,1),(200,1)}
       191:{2,5,6}:{(177,1),(178,1),(189,1),(201,1)}
       192:{2,4,5,7}:{(178,1),(179,1),(182,1),(190,1),(201,1),(202,1)}
       193:{3,4,7}:{(179,1),(180,1),(183,1),(202,1),(203,1)}
       194:{1,3,7}:{(180,1),(184,1),(203,1),(204,1)}
       195:{2,3,7}:{(180,1),(181,1),(185,1),(204,1)}
       196:{3,5}:{(182,1),(183,1),(205,1)}
       197:{1,4,6}:{(183,1),(184,1),(186,1),(203,1),(205,1),(209,1)}
       198:{1,2,6}:{(184,1),(185,1),(188,1),(204,1)}
       199:{1,2,4}:{(186,1),(187,1),(188,1),(206,1)}
       200:{4,6}:{(189,1),(190,1)}
       201:{2,4,6}:{(191,1),(192,1),(200,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(196,1),(207,1),(208,1)}
       203:{1,4,7}:{(193,1),(194,1),(197,1),(208,1)}
       204:{1,2,7}:{(194,1),(195,1),(198,1)}
       205:{1,5}:{(196,1),(197,1)}
       206:{1,3}:{(199,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{1,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

1195 :   0:{1,4,5,6}:{(3,1),(4,1),(26,1),(33,1),(85,1)}
         1:{1,3,4,6}:{(6,1),(7,1),(8,1),(26,1),(38,1),(77,1),(89,1),(128,1),(141,1)}
         2:{1,5,6,7}:{(9,1),(11,1),(97,1),(101,1)}
         3:{1,4,5,7}:{(0,1),(11,1),(12,1),(46,1),(48,1),(101,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(14,1)}
         5:{3,4,5}:{(10,1),(16,1),(17,1),(62,1)}
         6:{1,3,5}:{(1,1),(16,1),(19,1),(62,1),(151,1),(162,1)}
         7:{1,3,4,7}:{(1,1),(18,1),(20,1),(48,1),(104,1),(117,1),(150,1),(163,1)}
         8:{1,2,4,6}:{(1,1),(19,1),(20,1),(21,1),(63,1),(65,1),(118,1)}
         9:{3,5,6,7}:{(2,1),(23,1),(24,1),(28,1),(70,1),(73,1)}
        10:{3,4,6}:{(4,1),(5,1),(25,1),(26,1),(27,1),(77,1)}
        11:{1,4,6,7}:{(2,1),(3,1),(24,1),(28,1)}
        12:{3,5,7}:{(3,1),(4,1),(25,1),(28,1),(30,1)}
        13:{1,3,5,6}:{(4,1),(6,1),(26,1),(29,1),(31,1),(38,1),(77,1),(85,1),(140,1)}
        14:{2,5,6}:{(4,1),(27,1),(30,1)}
        15:{3,4,5,7}:{(5,1),(25,1),(34,1),(35,1),(36,1),(73,1),(88,1),(92,1),(123,1),(172,1),(180,1)}
        16:{1,4,5}:{(5,1),(6,1),(26,1),(180,1)}
        17:{2,4,5}:{(5,1),(27,1),(32,1)}
        18:{1,3,5,7}:{(6,1),(7,1),(35,1),(38,1),(39,1),(88,1),(143,1),(167,1),(171,1)}
        19:{1,2,5}:{(6,1),(8,1),(40,1),(142,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(39,1),(41,1),(91,1),(181,1)}
        21:{2,3,6}:{(8,1),(40,1),(41,1),(77,1)}
        22:{2,3,4}:{(32,1),(43,1),(89,1)}
        23:{2,5,6,7}:{(9,1),(44,1),(52,1),(102,1)}
        24:{4,6,7}:{(9,1),(46,1)}
        25:{3,4,7}:{(10,1),(12,1),(48,1),(49,1),(104,1)}
        26:{1,4,6}:{(10,1),(13,1),(16,1),(48,1),(161,1)}
        27:{2,4,6}:{(10,1),(14,1),(17,1),(45,1),(49,1)}
        28:{3,6,7}:{(11,1),(12,1),(52,1)}
        29:{1,3,5,7}:{(12,1),(13,1),(48,1),(51,1),(53,1),(101,1),(104,1),(152,1)}
        30:{2,5,7}:{(12,1),(14,1),(49,1),(52,1)}
        31:{1,2,5,6}:{(13,1),(14,1),(19,1),(50,1),(53,1),(54,1),(63,1),(151,1),(188,1)}
        32:{2,3,5}:{(17,1),(22,1),(45,1),(57,1),(62,1)}
        33:{4,5,6}:{(46,1),(58,1),(161,1)}
        34:{3,4,6}:{(15,1),(58,1),(59,1),(60,1),(116,1),(161,1)}
        35:{1,4,5,7}:{(15,1),(16,1),(18,1),(48,1),(59,1),(101,1),(119,1),(146,1)}
        36:{2,4,5,7}:{(15,1),(17,1),(49,1),(56,1),(60,1),(102,1),(120,1),(147,1)}
        37:{1,2,4,5}:{(16,1),(17,1),(19,1),(50,1),(57,1),(62,1),(65,1),(108,1),(114,1),(151,1)}
        38:{1,3,6}:{(18,1),(59,1),(63,1),(116,1),(188,1)}
        39:{1,2,5,7}:{(18,1),(19,1),(20,1),(63,1),(64,1),(164,1),(184,1)}
        40:{2,3,5}:{(19,1),(21,1),(62,1),(65,1)}
        41:{2,3,7}:{(20,1),(21,1),(104,1),(194,1)}
        42:{2,3,4,7}:{(22,1),(56,1),(66,1),(67,1),(117,1),(147,1),(185,1),(203,1)}
        43:{1,2,4}:{(22,1),(57,1),(68,1),(114,1)}
        44:{2,4,6,7}:{(23,1),(24,1),(69,1),(70,1)}
        45:{2,3,6}:{(27,1),(32,1),(71,1),(72,1),(77,1)}
        46:{4,5,7}:{(24,1),(33,1),(73,1),(172,1)}
        47:{3,4,6,7}:{(24,1),(25,1),(28,1),(34,1),(70,1),(73,1),(74,1),(75,1),(123,1),(130,1),(172,1)}
        48:{1,4,7}:{(25,1),(26,1),(29,1),(172,1)}
        49:{2,4,7}:{(25,1),(27,1),(30,1),(71,1)}
        50:{1,2,4,6}:{(26,1),(27,1),(31,1),(37,1),(72,1),(76,1),(77,1),(80,1),(128,1)}
        51:{1,3,6,7}:{(28,1),(29,1),(38,1),(74,1),(78,1),(130,1),(167,1)}
        52:{2,6,7}:{(28,1),(30,1)}
        53:{1,2,5,7}:{(29,1),(30,1),(31,1),(76,1),(78,1),(79,1),(171,1)}
        54:{2,3,5,6}:{(31,1),(40,1),(77,1),(79,1),(80,1),(90,1),(132,1),(140,1),(142,1),(174,1),(175,1)}
        55:{2,4,5,6}:{(33,1),(69,1),(81,1),(86,1),(136,1)}
        56:{2,3,5,7}:{(32,1),(36,1),(42,1),(71,1),(82,1),(83,1),(88,1),(93,1),(207,1)}
        57:{1,2,5}:{(32,1),(43,1),(72,1),(84,1)}
        58:{3,5,6}:{(33,1),(34,1),(73,1),(85,1),(86,1)}
        59:{1,4,6}:{(34,1),(35,1),(38,1),(85,1)}
        60:{2,4,6}:{(34,1),(36,1),(82,1),(86,1)}
        61:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(39,1),(76,1),(83,1),(87,1),(88,1),(91,1),(129,1),(134,1),(139,1),(142,1),(144,1),(168,1),(171,1),(172,1),(179,1),(180,1),(198,1),(207,1)}
        62:{3,5}:{(37,1),(77,1),(89,1)}
        63:{1,2,6}:{(38,1),(39,1),(90,1)}
        64:{2,3,5,7}:{(39,1),(40,1),(41,1),(88,1),(90,1),(91,1),(142,1),(182,1),(196,1),(207,1)}
        65:{2,4}:{(40,1),(89,1)}
        66:{2,3,4,6}:{(42,1),(82,1),(93,1),(94,1),(136,1),(141,1),(177,1),(183,1),(201,1)}
        67:{1,2,4,7}:{(42,1),(43,1),(83,1),(94,1),(95,1),(139,1)}
        68:{1,3}:{(43,1)}
        69:{2,4,5,7}:{(44,1),(46,1),(55,1),(96,1),(102,1),(147,1)}
        70:{3,6,7}:{(44,1),(96,1),(97,1)}
        71:{2,3,7}:{(45,1),(49,1),(99,1),(104,1)}
        72:{1,2,6}:{(45,1),(57,1),(99,1),(100,1)}
        73:{3,5,7}:{(46,1),(47,1),(58,1),(101,1),(102,1)}
        74:{1,4,6,7}:{(47,1),(48,1),(51,1),(59,1),(97,1),(101,1),(146,1)}
        75:{2,4,6,7}:{(47,1),(49,1),(52,1),(60,1),(98,1),(102,1),(147,1)}
        76:{1,2,4,7}:{(48,1),(49,1),(50,1),(53,1),(99,1),(104,1),(107,1),(150,1)}
        77:{3,6}:{(50,1),(62,1),(104,1)}
        78:{1,2,6,7}:{(51,1),(52,1),(53,1),(63,1),(106,1),(184,1),(188,1)}
        79:{2,3,5,7}:{(53,1),(54,1),(104,1),(106,1),(107,1),(152,1),(154,1),(155,1)}
        80:{2,4,6}:{(54,1),(65,1),(105,1),(107,1),(108,1),(161,1)}
        81:{3,5,6}:{(55,1),(96,1),(109,1),(110,1)}
        82:{2,3,6}:{(56,1),(60,1),(112,1),(116,1),(209,1)}
        83:{1,2,5,7}:{(56,1),(57,1),(67,1),(99,1),(112,1),(113,1),(121,1)}
        84:{1,3,5}:{(57,1),(62,1),(68,1),(100,1),(114,1),(151,1)}
        85:{1,5,6}:{(58,1),(59,1),(101,1)}
        86:{2,5,6}:{(58,1),(60,1),(102,1)}
        87:{1,2,4,6}:{(59,1),(60,1),(61,1),(63,1),(112,1),(115,1),(116,1),(118,1),(156,1),(160,1),(161,1),(188,1),(205,1),(209,1)}
        88:{3,5,7}:{(61,1),(62,1),(104,1),(116,1),(117,1),(162,1),(165,1),(185,1)}
        89:{3,4}:{(62,1),(65,1),(114,1)}
        90:{2,3,6}:{(63,1),(64,1),(116,1),(118,1),(209,1)}
        91:{2,4,7}:{(64,1),(65,1),(117,1),(118,1),(195,1)}
        92:{3,4,5}:{(109,1),(119,1),(120,1),(165,1)}
        93:{2,3,5}:{(66,1),(120,1),(121,1),(162,1),(165,1),(206,1)}
        94:{1,2,4,6}:{(66,1),(67,1),(112,1),(121,1),(122,1),(160,1),(166,1)}
        95:{1,3,7}:{(67,1),(68,1),(122,1),(185,1)}
        96:{3,5,7}:{(69,1),(70,1),(81,1),(123,1),(124,1)}
        97:{1,6,7}:{(70,1),(124,1)}
        98:{2,3,6,7}:{(70,1),(71,1),(75,1),(82,1),(125,1),(126,1),(130,1)}
        99:{1,2,7}:{(71,1),(72,1),(127,1)}
       100:{1,3,6}:{(72,1),(77,1),(84,1),(127,1),(128,1)}
       101:{1,5,7}:{(73,1),(74,1),(85,1)}
       102:{2,5,7}:{(73,1),(75,1),(86,1)}
       103:{1,2,4,6,7}:{(74,1),(75,1),(76,1),(78,1),(87,1),(126,1),(129,1),(130,1),(133,1),(168,1),(170,1),(172,1)}
       104:{3,7}:{(76,1),(77,1)}
       105:{3,4,6}:{(77,1),(80,1),(89,1),(128,1),(131,1),(132,1),(174,1)}
       106:{2,3,6,7}:{(78,1),(79,1),(90,1),(130,1),(133,1),(174,1),(196,1)}
       107:{2,4,7}:{(79,1),(80,1),(131,1),(172,1)}
       108:{2,4,5}:{(80,1),(132,1),(142,1),(180,1)}
       109:{3,4,6}:{(81,1),(92,1),(123,1),(135,1),(136,1),(177,1)}
       110:{1,5,6}:{(81,1),(124,1),(135,1)}
       111:{2,3,5,6}:{(81,1),(82,1),(86,1),(93,1),(125,1),(136,1),(137,1),(140,1),(177,1)}
       112:{1,2,6}:{(82,1),(83,1),(138,1)}
       113:{1,3,5,7}:{(83,1),(84,1),(88,1),(95,1),(127,1),(138,1),(139,1),(145,1),(171,1),(179,1)}
       114:{1,4}:{(84,1),(89,1)}
       115:{1,2,5,6}:{(85,1),(86,1),(87,1),(129,1),(140,1),(142,1),(175,1),(179,1),(199,1)}
       116:{3,6}:{(87,1),(88,1)}
       117:{3,4,7}:{(88,1),(89,1),(91,1),(139,1),(141,1),(172,1),(183,1)}
       118:{2,4,6}:{(90,1),(91,1),(141,1),(142,1)}
       119:{1,4,5}:{(92,1),(135,1),(143,1)}
       120:{2,4,5}:{(92,1),(93,1),(136,1),(180,1)}
       121:{1,2,5}:{(93,1),(94,1),(145,1),(179,1)}
       122:{1,3,6}:{(94,1),(95,1),(145,1),(177,1)}
       123:{3,4,7}:{(96,1),(109,1),(146,1),(147,1),(185,1)}
       124:{1,5,7}:{(96,1),(97,1),(110,1),(146,1)}
       125:{2,3,5,7}:{(96,1),(98,1),(102,1),(111,1),(147,1),(148,1),(152,1),(185,1)}
       126:{1,2,6,7}:{(97,1),(98,1),(99,1),(112,1),(148,1),(149,1),(209,1)}
       127:{1,3,7}:{(99,1),(100,1),(104,1),(150,1)}
       128:{1,4,6}:{(100,1),(105,1),(114,1),(150,1),(151,1),(188,1)}
       129:{1,2,5,7}:{(101,1),(102,1),(103,1),(115,1),(152,1),(155,1),(187,1)}
       130:{3,6,7}:{(103,1),(104,1),(116,1),(152,1),(185,1)}
       131:{3,4,7}:{(104,1),(105,1),(107,1),(150,1),(154,1)}
       132:{3,5}:{(105,1),(108,1),(151,1)}
       133:{2,4,6,7}:{(106,1),(107,1),(118,1),(153,1),(155,1),(156,1),(203,1),(209,1)}
       134:{2,4,5,7}:{(107,1),(108,1),(154,1),(155,1),(156,1),(189,1)}
       135:{1,4,6}:{(109,1),(110,1),(119,1),(146,1),(157,1)}
       136:{2,4,6}:{(109,1),(111,1),(120,1),(147,1),(161,1)}
       137:{1,2,5,6}:{(110,1),(111,1),(112,1),(121,1),(148,1),(158,1),(159,1),(206,1),(209,1)}
       138:{1,3,6}:{(112,1),(113,1),(116,1),(160,1),(188,1)}
       139:{1,4,7}:{(113,1),(114,1),(117,1),(160,1),(166,1)}
       140:{3,5,6}:{(115,1),(116,1),(152,1),(161,1),(162,1)}
       141:{3,4,6}:{(116,1),(117,1),(118,1),(160,1),(161,1),(162,1)}
       142:{2,5}:{(118,1),(162,1)}
       143:{1,3,5}:{(119,1),(157,1),(163,1),(164,1),(165,1)}
       144:{1,2,4,5}:{(119,1),(120,1),(121,1),(158,1),(164,1),(165,1),(166,1),(193,1),(195,1),(206,1)}
       145:{1,3,5}:{(121,1),(122,1),(165,1),(166,1)}
       146:{1,4,7}:{(123,1),(124,1),(135,1),(167,1)}
       147:{2,4,7}:{(123,1),(125,1),(136,1),(172,1)}
       148:{1,2,5,7}:{(124,1),(125,1),(126,1),(137,1),(168,1),(169,1),(207,1)}
       149:{1,3,6,7}:{(126,1),(127,1),(130,1),(138,1),(169,1),(170,1),(208,1)}
       150:{1,4,7}:{(127,1),(128,1),(131,1),(171,1)}
       151:{1,5}:{(128,1),(132,1)}
       152:{3,5,7}:{(129,1),(130,1),(140,1),(172,1)}
       153:{3,4,6,7}:{(130,1),(131,1),(133,1),(141,1),(170,1),(172,1),(173,1),(174,1),(197,1),(200,1),(208,1)}
       154:{3,5,7}:{(131,1),(132,1),(134,1),(171,1),(174,1)}
       155:{2,5,7}:{(133,1),(142,1),(173,1),(175,1)}
       156:{2,4,6}:{(134,1),(174,1),(175,1),(200,1)}
       157:{1,3,6}:{(135,1),(143,1),(167,1),(176,1),(177,1)}
       158:{1,2,4,6}:{(135,1),(136,1),(137,1),(144,1),(168,1),(176,1),(177,1),(178,1),(201,1)}
       159:{1,3,5,6}:{(137,1),(138,1),(140,1),(145,1),(169,1),(177,1),(178,1),(179,1),(199,1),(202,1),(208,1)}
       160:{1,4,6}:{(138,1),(139,1),(141,1),(179,1)}
       161:{4,6}:{(140,1),(172,1),(180,1)}
       162:{3,5}:{(141,1),(142,1),(179,1),(180,1)}
       163:{1,3,4}:{(143,1),(181,1),(183,1)}
       164:{1,2,5}:{(143,1),(176,1),(181,1),(182,1)}
       165:{3,5}:{(144,1),(177,1),(183,1)}
       166:{1,4}:{(145,1),(183,1)}
       167:{1,3,7}:{(146,1),(157,1),(184,1),(185,1)}
       168:{1,2,4,7}:{(146,1),(147,1),(148,1),(158,1),(184,1),(185,1),(186,1),(203,1)}
       169:{1,3,5,7}:{(148,1),(149,1),(152,1),(159,1),(185,1),(186,1),(187,1),(204,1)}
       170:{1,4,6,7}:{(149,1),(150,1),(153,1),(160,1),(186,1),(187,1),(188,1),(205,1)}
       171:{1,5,7}:{(150,1),(151,1),(154,1),(188,1)}
       172:{4,7}:{(152,1),(161,1)}
       173:{3,5,7}:{(153,1),(155,1),(162,1),(187,1),(189,1),(190,1)}
       174:{3,6}:{(154,1),(156,1),(188,1)}
       175:{2,5,6}:{(155,1),(156,1),(190,1),(209,1)}
       176:{1,2,6}:{(157,1),(164,1),(184,1),(191,1)}
       177:{3,6}:{(158,1),(165,1),(185,1)}
       178:{1,4,6}:{(159,1),(161,1),(166,1),(186,1),(192,1),(193,1)}
       179:{1,5}:{(160,1),(162,1)}
       180:{4,5}:{(161,1),(162,1)}
       181:{1,2,4}:{(163,1),(164,1),(194,1),(195,1)}
       182:{2,3,5}:{(164,1),(165,1),(191,1),(194,1),(195,1),(206,1)}
       183:{3,4}:{(165,1),(166,1),(195,1)}
       184:{1,2,7}:{(167,1),(176,1),(196,1)}
       185:{3,7}:{(168,1),(177,1)}
       186:{1,4,7}:{(169,1),(172,1),(178,1),(197,1)}
       187:{1,5,7}:{(170,1),(173,1),(179,1),(199,1)}
       188:{1,6}:{(171,1),(174,1)}
       189:{4,5,7}:{(172,1),(173,1),(180,1),(200,1)}
       190:{3,5,6}:{(173,1),(174,1),(175,1),(199,1),(200,1),(208,1)}
       191:{2,3,6}:{(176,1),(177,1),(182,1),(196,1),(201,1)}
       192:{3,4,6}:{(177,1),(178,1),(183,1),(197,1),(201,1),(202,1),(208,1)}
       193:{1,4,5}:{(178,1),(179,1),(180,1),(202,1)}
       194:{2,3}:{(181,1)}
       195:{2,4}:{(182,1),(183,1)}
       196:{2,3,7}:{(184,1),(185,1),(191,1),(203,1)}
       197:{3,4,7}:{(185,1),(186,1),(192,1),(203,1),(204,1)}
       198:{1,4,5,7}:{(186,1),(187,1),(189,1),(193,1),(204,1),(205,1)}
       199:{1,5,6}:{(187,1),(188,1),(190,1),(205,1)}
       200:{4,6}:{(189,1),(190,1)}
       201:{2,4,6}:{(191,1),(192,1),(195,1),(203,1),(206,1),(209,1)}
       202:{3,5}:{(192,1),(193,1),(206,1)}
       203:{2,4,7}:{(196,1),(197,1),(201,1),(207,1)}
       204:{3,5,7}:{(197,1),(198,1),(202,1),(207,1),(208,1)}
       205:{1,4,6}:{(198,1),(199,1),(200,1),(208,1)}
       206:{2,5}:{(201,1),(202,1)}
       207:{2,5,7}:{(203,1),(204,1),(206,1),(209,1)}
       208:{3,6}:{(204,1),(205,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

1196 :   0:{1,3,4,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1),(51,1),(55,1),(83,1),(90,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(69,1),(100,1),(104,1)}
         2:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(37,1),(71,1),(101,1)}
         3:{2,3,6,7}:{(1,1),(8,1),(29,1),(113,1),(117,1)}
         4:{1,2,5,7}:{(1,1),(2,1),(8,1),(9,1),(53,1),(114,1)}
         5:{1,3,5,6}:{(2,1),(9,1),(11,1),(29,1),(32,1)}
         6:{1,4,5,7}:{(2,1),(11,1),(12,1),(83,1),(86,1)}
         7:{1,3,5,6,7}:{(5,1),(13,1),(14,1),(36,1),(37,1),(67,1),(120,1)}
         8:{2,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(18,1),(125,1)}
         9:{1,2,5,6}:{(4,1),(5,1),(15,1),(17,1),(47,1),(71,1)}
        10:{1,2,4,5,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(21,1),(39,1),(41,1),(46,1),(71,1),(100,1),(102,1)}
        11:{1,4,6}:{(5,1),(6,1),(20,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(66,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(9,1),(22,1),(23,1),(53,1),(80,1),(85,1),(108,1)}
        14:{1,4,6,7}:{(7,1),(11,1),(24,1),(25,1),(83,1),(129,1)}
        15:{2,3,5,6}:{(8,1),(9,1),(26,1),(29,1),(54,1)}
        16:{2,4,7}:{(8,1),(26,1),(27,1),(132,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(11,1),(26,1),(29,1),(33,1),(55,1),(61,1)}
        18:{3,5,7}:{(10,1),(27,1),(29,1),(54,1),(113,1),(115,1)}
        19:{1,4,5,6}:{(11,1),(24,1),(32,1)}
        20:{3,4,6}:{(11,1),(12,1),(29,1),(32,1),(33,1)}
        21:{2,4,5,7}:{(12,1),(31,1),(33,1),(53,1),(84,1),(87,1)}
        22:{2,3,5,6,7}:{(13,1),(15,1),(34,1),(36,1),(63,1),(68,1),(94,1)}
        23:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(38,1),(64,1),(69,1),(100,1),(119,1)}
        24:{1,4,5,7}:{(14,1),(19,1),(37,1),(135,1)}
        25:{3,4,6,7}:{(14,1),(20,1),(36,1),(37,1),(38,1),(66,1),(134,1)}
        26:{2,4,6}:{(15,1),(16,1),(39,1),(40,1)}
        27:{3,4,7}:{(16,1),(18,1),(40,1),(41,1),(126,1)}
        28:{1,2,4,5,6}:{(17,1),(19,1),(35,1),(39,1),(43,1),(47,1),(62,1),(71,1),(75,1),(76,1),(77,1),(93,1),(102,1),(119,1),(135,1),(139,1)}
        29:{3,6}:{(17,1),(18,1)}
        30:{1,3,5,7}:{(18,1),(41,1),(44,1),(46,1),(71,1),(74,1),(103,1)}
        31:{2,3,5,7}:{(18,1),(21,1),(42,1),(45,1),(46,1),(72,1)}
        32:{3,5,6}:{(19,1),(20,1),(37,1),(47,1)}
        33:{2,4,6}:{(20,1),(21,1),(45,1),(47,1)}
        34:{2,4,6,7}:{(22,1),(26,1),(48,1),(49,1),(84,1),(107,1)}
        35:{1,2,4,5,7}:{(23,1),(24,1),(28,1),(48,1),(50,1),(53,1),(80,1),(83,1),(84,1),(85,1)}
        36:{3,6,7}:{(23,1),(29,1),(50,1),(113,1),(128,1)}
        37:{3,5,7}:{(24,1),(25,1),(32,1),(53,1),(138,1)}
        38:{2,4,6,7}:{(25,1),(33,1),(52,1),(53,1),(84,1),(137,1)}
        39:{2,4,5}:{(26,1),(54,1)}
        40:{3,4,6}:{(26,1),(27,1),(29,1),(54,1),(55,1)}
        41:{1,4,7}:{(27,1),(30,1),(55,1),(116,1)}
        42:{2,3,4,7}:{(27,1),(31,1),(56,1),(57,1),(84,1),(113,1)}
        43:{3,5,6}:{(28,1),(29,1),(50,1),(54,1),(58,1),(115,1),(128,1),(138,1)}
        44:{1,3,6}:{(29,1),(30,1),(55,1),(61,1)}
        45:{2,3,6}:{(29,1),(31,1),(33,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(57,1),(61,1),(88,1)}
        47:{2,5,6}:{(32,1),(33,1),(53,1)}
        48:{2,4,5,7}:{(34,1),(39,1),(62,1),(63,1)}
        49:{3,4,6,7}:{(34,1),(36,1),(40,1),(63,1),(64,1),(66,1),(92,1)}
        50:{3,5,7}:{(35,1),(36,1),(43,1),(66,1)}
        51:{1,3,6,7}:{(36,1),(44,1),(64,1),(67,1),(69,1),(118,1)}
        52:{2,3,6,7}:{(36,1),(38,1),(45,1),(68,1),(69,1),(133,1)}
        53:{2,5,7}:{(37,1),(38,1),(47,1),(139,1)}
        54:{3,5}:{(39,1),(40,1),(71,1)}
        55:{1,4,6}:{(40,1),(41,1),(44,1),(71,1)}
        56:{2,3,4,6}:{(40,1),(42,1),(45,1),(72,1),(73,1),(76,1),(105,1),(126,1)}
        57:{1,2,4,7}:{(41,1),(42,1),(46,1),(73,1),(74,1)}
        58:{3,4,6}:{(43,1),(66,1),(70,1),(75,1),(76,1),(105,1),(126,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(67,1),(71,1),(75,1),(77,1),(93,1),(101,1),(103,1),(105,1),(118,1)}
        60:{2,3,5,6}:{(43,1),(45,1),(47,1),(68,1),(72,1),(76,1),(77,1),(105,1),(125,1),(133,1),(139,1)}
        61:{1,2,6}:{(44,1),(45,1),(46,1)}
        62:{2,4,5,6}:{(48,1),(78,1),(107,1)}
        63:{3,5,7}:{(48,1),(49,1),(54,1),(78,1),(80,1)}
        64:{1,4,6,7}:{(49,1),(51,1),(55,1),(80,1),(83,1),(106,1)}
        65:{2,3,4,6,7}:{(49,1),(52,1),(56,1),(81,1),(82,1),(84,1),(107,1),(113,1),(128,1),(131,1),(137,1)}
        66:{3,4,7}:{(50,1),(58,1),(83,1),(84,1),(113,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(59,1),(80,1),(83,1),(85,1),(113,1)}
        68:{2,3,5,7}:{(50,1),(52,1),(53,1),(60,1),(84,1),(85,1),(113,1)}
        69:{1,2,6,7}:{(51,1),(52,1),(61,1),(85,1),(127,1)}
        70:{3,4,5}:{(54,1),(58,1),(86,1),(87,1),(115,1),(138,1)}
        71:{1,5}:{(54,1),(55,1)}
        72:{2,3,5}:{(54,1),(56,1),(87,1),(88,1),(115,1)}
        73:{1,2,4,6}:{(55,1),(56,1),(57,1),(61,1),(88,1),(89,1),(116,1)}
        74:{1,3,7}:{(57,1),(89,1),(113,1)}
        75:{1,4,6}:{(58,1),(59,1),(83,1),(86,1),(116,1)}
        76:{2,4,6}:{(58,1),(60,1),(84,1),(87,1),(132,1)}
        77:{1,2,5,6}:{(59,1),(60,1),(61,1),(85,1),(88,1),(91,1),(114,1),(127,1)}
        78:{3,5,6}:{(62,1),(63,1),(92,1),(93,1)}
        79:{3,4,5,7}:{(63,1),(66,1),(70,1),(92,1),(95,1),(96,1),(122,1)}
        80:{1,5,7}:{(63,1),(64,1),(71,1),(93,1)}
        81:{2,3,5,7}:{(63,1),(65,1),(72,1),(94,1),(96,1),(97,1),(122,1),(139,1)}
        82:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(73,1),(97,1),(98,1),(100,1),(119,1),(123,1)}
        83:{1,4,7}:{(66,1),(67,1),(75,1)}
        84:{2,4,7}:{(66,1),(68,1),(76,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(77,1),(100,1)}
        86:{1,4,5}:{(70,1),(71,1),(75,1),(101,1)}
        87:{2,4,5}:{(70,1),(72,1),(76,1),(139,1)}
        88:{1,2,5}:{(71,1),(72,1),(73,1),(103,1)}
        89:{1,3,6}:{(73,1),(74,1),(103,1),(105,1)}
        90:{1,3,4,6}:{(75,1),(99,1),(101,1),(104,1),(105,1),(118,1),(126,1),(134,1)}
        91:{1,2,4,6}:{(75,1),(76,1),(77,1),(100,1),(102,1),(105,1)}
        92:{3,4,6}:{(78,1),(79,1),(106,1),(107,1),(128,1)}
        93:{1,5,6}:{(78,1),(80,1),(106,1)}
        94:{2,3,5,6}:{(78,1),(81,1),(107,1),(108,1),(128,1)}
        95:{1,4,5,7}:{(79,1),(80,1),(83,1),(86,1),(106,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(81,1),(84,1),(87,1),(107,1)}
        97:{1,2,5,7}:{(80,1),(81,1),(82,1),(88,1),(108,1),(111,1)}
        98:{1,3,6,7}:{(82,1),(89,1),(111,1),(113,1),(128,1)}
        99:{1,3,4,7}:{(83,1),(90,1),(109,1),(112,1),(113,1),(131,1)}
       100:{1,2,4,7}:{(83,1),(84,1),(85,1),(91,1),(113,1)}
       101:{1,3,5}:{(86,1),(90,1),(114,1),(115,1),(138,1)}
       102:{1,2,4,5}:{(86,1),(87,1),(88,1),(91,1),(114,1),(115,1),(116,1),(132,1)}
       103:{1,3,5}:{(88,1),(89,1),(115,1),(116,1)}
       104:{1,2,4,6}:{(90,1),(112,1),(114,1),(117,1),(127,1),(132,1),(137,1)}
       105:{3,6}:{(91,1),(113,1),(115,1)}
       106:{1,4,6}:{(92,1),(93,1),(95,1),(118,1)}
       107:{2,4,6}:{(92,1),(94,1),(96,1)}
       108:{1,2,5,6}:{(93,1),(94,1),(97,1),(119,1),(120,1),(139,1)}
       109:{1,3,5,7}:{(95,1),(99,1),(101,1),(118,1),(121,1),(122,1)}
       110:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(100,1),(102,1),(119,1),(121,1),(122,1),(123,1),(135,1),(136,1),(139,1)}
       111:{1,3,5,7}:{(97,1),(98,1),(103,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,7}:{(99,1),(104,1),(121,1),(124,1),(136,1)}
       113:{3,7}:{(100,1),(105,1)}
       114:{1,2,5}:{(101,1),(104,1),(125,1),(139,1)}
       115:{3,5}:{(102,1),(105,1),(126,1)}
       116:{1,4}:{(103,1),(126,1)}
       117:{2,3,6}:{(104,1),(105,1),(124,1),(125,1)}
       118:{1,3,6}:{(106,1),(109,1),(127,1),(128,1)}
       119:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(127,1),(128,1),(129,1),(137,1)}
       120:{1,3,5,6}:{(108,1),(111,1),(128,1),(129,1),(138,1)}
       121:{1,2,5,7}:{(109,1),(112,1),(114,1),(127,1),(130,1)}
       122:{3,5,7}:{(110,1),(113,1),(115,1),(128,1),(131,1),(138,1)}
       123:{1,4,7}:{(111,1),(116,1),(129,1),(131,1)}
       124:{2,3,7}:{(112,1),(113,1),(117,1)}
       125:{2,3,5}:{(114,1),(115,1),(117,1),(132,1)}
       126:{3,4}:{(115,1),(116,1),(132,1)}
       127:{1,2,6}:{(118,1),(121,1),(133,1)}
       128:{3,6}:{(119,1),(122,1)}
       129:{1,4,6}:{(120,1),(123,1),(134,1),(135,1)}
       130:{2,3,5,7}:{(121,1),(122,1),(124,1),(125,1),(133,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(126,1),(134,1),(136,1)}
       132:{2,4}:{(125,1),(126,1)}
       133:{2,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{3,4,6}:{(128,1),(129,1),(131,1),(137,1),(138,1)}
       135:{1,4,5}:{(129,1),(138,1)}
       136:{2,4,7}:{(130,1),(131,1),(132,1),(137,1)}
       137:{2,4,6}:{(133,1),(134,1),(136,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1197 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(64,1),(116,1)}
         1:{1,3,4,6}:{(3,1),(5,1),(6,1),(18,1),(25,1),(28,1),(64,1),(66,1)}
         2:{1,2,3,5}:{(0,1),(8,1),(10,1),(34,1),(37,1),(87,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(10,1),(11,1),(43,1)}
         4:{1,2,3,7}:{(0,1),(11,1),(96,1),(144,1),(221,1)}
         5:{1,3,5}:{(1,1),(10,1),(12,1),(37,1),(98,1)}
         6:{1,3,4,7}:{(1,1),(11,1),(14,1),(38,1),(47,1),(96,1),(189,1)}
         7:{2,3,4,6}:{(3,1),(16,1),(17,1),(18,1),(54,1),(57,1),(64,1),(66,1)}
         8:{1,2,4}:{(2,1),(18,1)}
         9:{1,2,3,5,7}:{(2,1),(4,1),(20,1),(21,1),(23,1),(59,1),(65,1),(69,1),(117,1),(119,1)}
        10:{1,2,5}:{(3,1),(5,1),(16,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(6,1),(17,1),(23,1),(208,1)}
        12:{1,4,5}:{(5,1),(24,1),(25,1),(128,1)}
        13:{1,3,5,6}:{(5,1),(22,1),(25,1),(27,1),(28,1),(29,1),(64,1),(76,1),(127,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(23,1),(26,1),(28,1),(65,1),(206,1),(226,1)}
        15:{1,4,5,6}:{(25,1),(29,1),(30,1),(76,1),(133,1)}
        16:{2,3,5}:{(7,1),(10,1),(31,1),(37,1),(98,1)}
        17:{2,3,4,7}:{(7,1),(11,1),(33,1),(38,1),(84,1),(96,1),(190,1)}
        18:{3,4}:{(8,1),(37,1)}
        19:{1,2,4,5}:{(8,1),(10,1),(12,1),(31,1),(37,1),(39,1),(44,1),(81,1),(87,1)}
        20:{1,2,4,7}:{(8,1),(9,1),(38,1),(41,1),(147,1)}
        21:{1,2,3,6}:{(9,1),(41,1),(43,1),(97,1),(145,1)}
        22:{1,2,5,6}:{(10,1),(13,1),(32,1),(39,1),(42,1),(43,1),(50,1),(136,1)}
        23:{1,2,5,7}:{(10,1),(11,1),(14,1),(33,1),(43,1),(220,1),(230,1)}
        24:{3,4,5}:{(12,1),(37,1),(44,1),(45,1)}
        25:{1,4,6}:{(12,1),(13,1),(45,1),(47,1),(155,1)}
        26:{1,4,5,7}:{(12,1),(14,1),(46,1),(47,1),(48,1),(105,1),(193,1),(222,1)}
        27:{1,3,5,7}:{(13,1),(42,1),(47,1),(49,1),(51,1),(96,1),(105,1),(154,1)}
        28:{1,3,6}:{(14,1),(43,1),(48,1),(97,1)}
        29:{3,5,6}:{(15,1),(45,1),(50,1),(51,1)}
        30:{1,4,5,7}:{(15,1),(47,1),(51,1),(52,1),(105,1),(158,1)}
        31:{2,4,5}:{(16,1),(53,1),(54,1),(128,1)}
        32:{2,3,5,6}:{(16,1),(22,1),(54,1),(56,1),(57,1),(64,1),(108,1),(115,1),(127,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(23,1),(55,1),(57,1),(65,1),(207,1),(227,1)}
        34:{1,2,3}:{(58,1)}
        35:{2,3,4}:{(18,1),(58,1),(60,1)}
        36:{1,3,4}:{(18,1),(58,1),(62,1)}
        37:{3,5}:{(18,1),(19,1),(64,1)}
        38:{3,4,7}:{(18,1),(20,1),(65,1),(66,1),(170,1),(177,1)}
        39:{1,2,4,6}:{(19,1),(22,1),(25,1),(54,1),(64,1),(67,1),(71,1),(110,1),(116,1)}
        40:{1,2,4,5,7}:{(19,1),(20,1),(23,1),(26,1),(55,1),(65,1),(67,1),(68,1),(69,1),(72,1),(111,1),(117,1),(128,1),(129,1),(169,1),(177,1),(204,1)}
        41:{1,2,4,6}:{(20,1),(21,1),(66,1),(69,1)}
        42:{1,2,5,7}:{(22,1),(27,1),(56,1),(67,1),(70,1),(77,1),(160,1)}
        43:{1,2,6}:{(23,1),(28,1),(57,1)}
        44:{2,4,5}:{(24,1),(60,1),(71,1)}
        45:{3,4,6}:{(24,1),(25,1),(29,1),(64,1),(71,1),(73,1)}
        46:{3,4,5,7}:{(24,1),(26,1),(65,1),(72,1),(73,1),(74,1),(128,1),(132,1),(173,1),(177,1),(209,1)}
        47:{1,4,7}:{(25,1),(27,1),(73,1),(177,1)}
        48:{1,4,6}:{(26,1),(28,1),(74,1),(76,1)}
        49:{1,3,6,7}:{(27,1),(28,1),(70,1),(75,1),(78,1),(126,1),(226,1)}
        50:{2,5,6}:{(29,1),(71,1),(77,1)}
        51:{3,5,7}:{(29,1),(30,1),(73,1),(77,1),(78,1)}
        52:{1,4,6,7}:{(30,1),(78,1),(79,1),(135,1)}
        53:{3,4,5}:{(31,1),(37,1),(81,1),(82,1)}
        54:{2,4,6}:{(31,1),(32,1),(82,1),(84,1),(155,1)}
        55:{2,4,5,7}:{(31,1),(33,1),(83,1),(84,1),(85,1),(143,1),(196,1),(223,1)}
        56:{2,3,5,7}:{(32,1),(42,1),(84,1),(86,1),(96,1),(137,1),(143,1),(154,1)}
        57:{2,3,6}:{(33,1),(43,1),(85,1),(97,1)}
        58:{1,2,4}:{(34,1),(35,1),(36,1),(87,1)}
        59:{1,2,3,7}:{(34,1),(88,1),(89,1),(217,1),(230,1)}
        60:{2,3,5}:{(35,1),(37,1),(44,1),(87,1),(90,1)}
        61:{2,3,4,7}:{(35,1),(38,1),(88,1),(91,1),(92,1),(191,1),(217,1)}
        62:{1,3,5}:{(36,1),(37,1),(81,1),(87,1),(93,1)}
        63:{1,3,4,7}:{(36,1),(38,1),(88,1),(94,1),(95,1),(194,1),(217,1)}
        64:{3,6}:{(37,1),(39,1),(96,1)}
        65:{3,5,7}:{(37,1),(38,1),(40,1),(96,1),(97,1),(98,1),(188,1),(217,1)}
        66:{3,4,6}:{(38,1),(41,1),(97,1),(98,1),(155,1)}
        67:{1,2,4,7}:{(39,1),(42,1),(47,1),(84,1),(96,1),(101,1),(139,1),(144,1)}
        68:{1,2,4,6}:{(40,1),(43,1),(48,1),(85,1),(97,1),(100,1),(102,1),(140,1),(145,1),(155,1)}
        69:{1,2,5}:{(41,1),(98,1)}
        70:{1,2,6,7}:{(42,1),(43,1),(49,1),(86,1),(106,1),(181,1),(230,1)}
        71:{2,4,6}:{(44,1),(45,1),(50,1),(90,1),(101,1)}
        72:{2,4,5,7}:{(44,1),(46,1),(91,1),(101,1),(102,1),(150,1),(156,1),(191,1)}
        73:{3,4,7}:{(45,1),(47,1),(51,1),(96,1),(101,1)}
        74:{3,4,6}:{(46,1),(48,1),(97,1),(102,1),(104,1),(155,1)}
        75:{1,4,6,7}:{(47,1),(48,1),(49,1),(103,1),(105,1),(199,1),(222,1)}
        76:{1,5,6}:{(48,1),(104,1),(105,1)}
        77:{2,5,7}:{(50,1),(51,1),(101,1),(106,1)}
        78:{3,6,7}:{(51,1),(52,1),(106,1)}
        79:{1,5,6,7}:{(52,1),(105,1),(107,1),(199,1)}
        80:{2,4,5,6}:{(54,1),(108,1),(109,1),(115,1),(166,1)}
        81:{1,4,5}:{(53,1),(62,1),(110,1)}
        82:{3,4,6}:{(53,1),(54,1),(64,1),(108,1),(110,1),(112,1)}
        83:{3,4,5,7}:{(53,1),(55,1),(65,1),(111,1),(112,1),(113,1),(128,1),(165,1),(176,1),(177,1),(211,1)}
        84:{2,4,7}:{(54,1),(56,1),(112,1),(177,1)}
        85:{2,4,6}:{(55,1),(57,1),(113,1),(115,1)}
        86:{2,3,6,7}:{(56,1),(57,1),(70,1),(114,1),(126,1),(161,1),(227,1)}
        87:{1,2,5}:{(58,1),(60,1),(62,1),(116,1)}
        88:{1,2,4,7}:{(58,1),(59,1),(61,1),(63,1),(117,1),(118,1)}
        89:{1,2,3,6}:{(59,1),(118,1),(119,1),(205,1),(228,1)}
        90:{2,3,6}:{(60,1),(64,1),(71,1),(116,1),(120,1)}
        91:{2,3,5,7}:{(60,1),(61,1),(65,1),(72,1),(117,1),(120,1),(121,1),(122,1)}
        92:{2,3,4,6}:{(61,1),(66,1),(118,1),(121,1),(122,1),(170,1),(172,1),(205,1)}
        93:{1,3,6}:{(62,1),(64,1),(110,1),(116,1),(123,1)}
        94:{1,3,5,7}:{(62,1),(63,1),(65,1),(111,1),(117,1),(123,1),(124,1),(125,1)}
        95:{1,3,4,6}:{(63,1),(66,1),(118,1),(124,1),(125,1),(170,1),(175,1),(205,1)}
        96:{3,7}:{(64,1),(67,1)}
        97:{3,6}:{(65,1),(68,1)}
        98:{3,5}:{(66,1),(69,1),(128,1)}
        99:{1,2,4,6,7}:{(67,1),(68,1),(70,1),(75,1),(114,1),(126,1),(129,1),(130,1),(163,1),(167,1),(177,1),(204,1)}
       100:{1,2,5,6}:{(68,1),(69,1),(76,1),(115,1),(127,1),(129,1),(131,1),(164,1)}
       101:{2,4,7}:{(71,1),(73,1),(77,1),(120,1)}
       102:{2,4,6}:{(72,1),(74,1),(121,1),(131,1)}
       103:{3,4,6,7}:{(73,1),(74,1),(75,1),(78,1),(126,1),(130,1),(132,1),(135,1),(177,1),(180,1),(209,1)}
       104:{3,5,6}:{(74,1),(76,1),(131,1),(132,1),(133,1)}
       105:{1,5,7}:{(75,1),(76,1),(132,1)}
       106:{2,6,7}:{(77,1),(78,1)}
       107:{3,5,6,7}:{(78,1),(79,1),(132,1),(134,1),(135,1),(180,1)}
       108:{3,5,6}:{(80,1),(82,1),(136,1),(137,1)}
       109:{2,4,5,7}:{(80,1),(84,1),(137,1),(138,1),(143,1),(185,1)}
       110:{1,4,6}:{(81,1),(82,1),(93,1),(136,1),(139,1)}
       111:{1,4,5,7}:{(81,1),(83,1),(94,1),(139,1),(140,1),(153,1),(183,1),(194,1)}
       112:{3,4,7}:{(82,1),(84,1),(96,1),(137,1),(139,1)}
       113:{3,4,6}:{(83,1),(85,1),(97,1),(140,1),(142,1),(155,1)}
       114:{2,4,6,7}:{(84,1),(85,1),(86,1),(141,1),(143,1),(223,1),(229,1)}
       115:{2,5,6}:{(85,1),(142,1),(143,1)}
       116:{1,2,6}:{(87,1),(90,1),(93,1),(144,1)}
       117:{1,2,5,7}:{(87,1),(88,1),(91,1),(94,1),(144,1),(145,1),(146,1)}
       118:{1,2,4,6}:{(88,1),(89,1),(92,1),(95,1),(145,1),(146,1),(147,1)}
       119:{1,2,3,5}:{(89,1),(146,1),(147,1),(188,1),(220,1),(221,1)}
       120:{2,3,7}:{(90,1),(96,1),(101,1),(144,1)}
       121:{2,3,6}:{(91,1),(97,1),(102,1),(145,1)}
       122:{2,3,5}:{(92,1),(98,1),(146,1),(150,1),(188,1)}
       123:{1,3,7}:{(93,1),(96,1),(139,1),(144,1)}
       124:{1,3,6}:{(94,1),(97,1),(140,1),(145,1)}
       125:{1,3,5}:{(95,1),(98,1),(146,1),(153,1),(188,1)}
       126:{3,6,7}:{(96,1),(97,1),(99,1),(154,1),(217,1)}
       127:{3,5,6}:{(97,1),(98,1),(100,1),(154,1),(155,1)}
       128:{4,5}:{(98,1),(155,1)}
       129:{1,2,5,7}:{(99,1),(100,1),(105,1),(143,1),(154,1),(156,1),(183,1)}
       130:{2,4,6,7}:{(101,1),(102,1),(103,1),(106,1),(148,1),(156,1),(191,1)}
       131:{2,5,6}:{(102,1),(104,1),(156,1)}
       132:{3,5,7}:{(103,1),(104,1),(105,1),(156,1),(158,1)}
       133:{4,5,6}:{(104,1),(155,1),(158,1)}
       134:{2,5,6,7}:{(106,1),(107,1),(156,1),(159,1)}
       135:{4,6,7}:{(107,1),(158,1)}
       136:{1,5,6}:{(108,1),(110,1),(160,1)}
       137:{3,5,7}:{(108,1),(109,1),(112,1),(160,1),(161,1)}
       138:{2,4,6,7}:{(109,1),(161,1),(162,1),(201,1)}
       139:{1,4,7}:{(110,1),(112,1),(123,1),(160,1)}
       140:{1,4,6}:{(111,1),(113,1),(124,1),(164,1)}
       141:{3,4,6,7}:{(112,1),(113,1),(114,1),(126,1),(161,1),(163,1),(165,1),(177,1),(201,1),(211,1),(224,1)}
       142:{3,5,6}:{(113,1),(115,1),(164,1),(165,1),(166,1)}
       143:{2,5,7}:{(114,1),(115,1),(165,1)}
       144:{1,2,7}:{(116,1),(120,1),(123,1)}
       145:{1,2,6}:{(117,1),(121,1),(124,1)}
       146:{1,2,5}:{(118,1),(122,1),(125,1)}
       147:{1,2,4}:{(119,1),(170,1)}
       148:{2,3,6,7}:{(120,1),(121,1),(126,1),(130,1),(167,1),(171,1),(180,1)}
       149:{2,3,5,6}:{(121,1),(122,1),(127,1),(131,1),(168,1),(171,1),(172,1),(179,1),(205,1)}
       150:{2,4,5}:{(122,1),(128,1),(172,1),(173,1)}
       151:{1,3,6,7}:{(123,1),(124,1),(126,1),(163,1),(167,1),(174,1),(224,1)}
       152:{1,3,5,6}:{(124,1),(125,1),(127,1),(164,1),(168,1),(174,1),(175,1),(203,1),(205,1)}
       153:{1,4,5}:{(125,1),(128,1),(175,1),(176,1)}
       154:{3,5,7}:{(126,1),(127,1),(129,1),(177,1)}
       155:{4,6}:{(127,1),(128,1),(177,1)}
       156:{2,5,7}:{(130,1),(131,1),(132,1)}
       157:{2,4,5,6}:{(131,1),(133,1),(172,1),(178,1),(179,1)}
       158:{4,5,7}:{(132,1),(133,1),(135,1),(177,1)}
       159:{2,4,6,7}:{(134,1),(135,1),(178,1),(180,1)}
       160:{1,5,7}:{(136,1),(137,1),(139,1),(181,1)}
       161:{3,6,7}:{(137,1),(138,1),(181,1)}
       162:{2,5,6,7}:{(138,1),(143,1),(182,1),(229,1)}
       163:{1,4,6,7}:{(139,1),(140,1),(141,1),(151,1),(181,1),(183,1),(194,1)}
       164:{1,5,6}:{(140,1),(142,1),(183,1)}
       165:{3,5,7}:{(141,1),(142,1),(143,1),(183,1),(185,1)}
       166:{4,5,6}:{(142,1),(155,1),(185,1)}
       167:{1,2,6,7}:{(144,1),(145,1),(148,1),(151,1),(186,1),(199,1),(229,1)}
       168:{1,2,5,6}:{(145,1),(146,1),(149,1),(152,1),(186,1),(187,1),(198,1),(216,1)}
       169:{1,2,4,5}:{(146,1),(147,1),(150,1),(153,1),(187,1),(188,1),(193,1),(196,1),(220,1)}
       170:{3,4}:{(147,1),(188,1)}
       171:{2,3,5,7}:{(148,1),(149,1),(154,1),(156,1),(186,1),(191,1),(197,1),(217,1)}
       172:{2,4,6}:{(149,1),(150,1),(155,1),(191,1),(192,1)}
       173:{3,4,5}:{(150,1),(188,1),(192,1),(193,1)}
       174:{1,3,5,7}:{(151,1),(152,1),(154,1),(183,1),(186,1),(194,1),(215,1),(217,1)}
       175:{1,4,6}:{(152,1),(153,1),(155,1),(194,1),(195,1)}
       176:{3,4,5}:{(153,1),(188,1),(195,1),(196,1)}
       177:{4,7}:{(154,1),(155,1)}
       178:{2,4,5,7}:{(156,1),(157,1),(158,1),(159,1),(191,1),(197,1)}
       179:{3,5,6}:{(157,1),(192,1),(197,1),(198,1)}
       180:{3,6,7}:{(159,1),(197,1),(199,1)}
       181:{1,6,7}:{(160,1),(161,1)}
       182:{3,5,6,7}:{(161,1),(162,1),(165,1),(200,1),(201,1),(224,1)}
       183:{1,5,7}:{(163,1),(164,1),(165,1)}
       184:{1,4,5,6}:{(164,1),(166,1),(175,1),(202,1),(203,1)}
       185:{4,5,7}:{(165,1),(166,1),(177,1),(201,1)}
       186:{1,2,5,7}:{(167,1),(168,1),(171,1),(174,1),(204,1),(213,1),(225,1)}
       187:{1,2,4,6}:{(168,1),(169,1),(172,1),(175,1),(204,1),(205,1),(210,1),(212,1),(228,1)}
       188:{3,5}:{(169,1),(170,1),(205,1)}
       189:{1,3,4}:{(170,1),(206,1),(208,1)}
       190:{2,3,4}:{(170,1),(207,1),(208,1)}
       191:{2,4,7}:{(171,1),(172,1),(177,1),(209,1)}
       192:{3,4,6}:{(172,1),(173,1),(179,1),(205,1),(209,1),(210,1)}
       193:{1,4,5}:{(173,1),(206,1),(210,1)}
       194:{1,4,7}:{(174,1),(175,1),(177,1),(211,1)}
       195:{3,4,6}:{(175,1),(176,1),(203,1),(205,1),(211,1),(212,1)}
       196:{2,4,5}:{(176,1),(207,1),(212,1)}
       197:{3,5,7}:{(178,1),(179,1),(180,1),(209,1),(213,1)}
       198:{1,5,6}:{(179,1),(210,1),(213,1)}
       199:{1,6,7}:{(180,1),(213,1)}
       200:{1,5,6,7}:{(181,1),(182,1),(183,1),(214,1)}
       201:{4,6,7}:{(182,1),(185,1)}
       202:{1,4,5,7}:{(183,1),(184,1),(185,1),(194,1),(214,1),(215,1)}
       203:{3,5,6}:{(184,1),(195,1),(215,1),(216,1)}
       204:{1,2,4,7}:{(186,1),(187,1),(191,1),(194,1),(217,1),(222,1),(223,1),(230,1)}
       205:{3,6}:{(187,1),(188,1),(217,1)}
       206:{1,3,5}:{(188,1),(189,1),(193,1),(218,1),(220,1)}
       207:{2,3,5}:{(188,1),(190,1),(196,1),(219,1),(220,1)}
       208:{1,2,4}:{(189,1),(190,1),(220,1),(221,1)}
       209:{3,4,7}:{(191,1),(192,1),(197,1),(217,1),(222,1)}
       210:{1,4,6}:{(192,1),(193,1),(198,1),(218,1),(222,1)}
       211:{3,4,7}:{(194,1),(195,1),(215,1),(217,1),(223,1)}
       212:{2,4,6}:{(195,1),(196,1),(216,1),(219,1),(223,1)}
       213:{1,5,7}:{(197,1),(198,1),(199,1),(222,1)}
       214:{1,4,6,7}:{(200,1),(201,1),(202,1),(224,1)}
       215:{3,5,7}:{(202,1),(203,1),(211,1),(224,1),(225,1)}
       216:{2,5,6}:{(203,1),(212,1),(225,1)}
       217:{3,7}:{(204,1),(205,1)}
       218:{1,3,6}:{(205,1),(206,1),(210,1),(226,1),(228,1)}
       219:{2,3,6}:{(205,1),(207,1),(212,1),(227,1),(228,1)}
       220:{1,2,5}:{(206,1),(207,1),(208,1),(228,1)}
       221:{1,2,3}:{(208,1)}
       222:{1,4,7}:{(209,1),(210,1),(213,1),(226,1)}
       223:{2,4,7}:{(211,1),(212,1),(225,1),(227,1)}
       224:{3,6,7}:{(214,1),(215,1),(229,1)}
       225:{2,5,7}:{(215,1),(216,1),(223,1),(229,1)}
       226:{1,3,7}:{(217,1),(218,1),(222,1),(230,1)}
       227:{2,3,7}:{(217,1),(219,1),(223,1),(230,1)}
       228:{1,2,6}:{(218,1),(219,1),(220,1),(230,1)}
       229:{2,6,7}:{(224,1),(225,1)}
       230:{1,2,7}:{(226,1),(227,1),(228,1)}

1198 :   0:{1,4,5,6}:{(3,1),(4,1),(24,1),(79,1),(81,1)}
         1:{1,3,4,6}:{(5,1),(6,1),(7,1),(24,1),(38,1),(71,1),(76,1),(114,1),(130,1)}
         2:{3,4,5}:{(9,1),(10,1),(11,1),(50,1)}
         3:{3,5,6}:{(0,1),(9,1),(14,1),(15,1)}
         4:{1,4,5,7}:{(0,1),(15,1),(16,1),(47,1),(102,1),(104,1)}
         5:{1,3,5}:{(1,1),(10,1),(17,1),(50,1),(137,1),(153,1)}
         6:{1,2,4,6}:{(1,1),(17,1),(19,1),(20,1),(60,1),(62,1),(113,1)}
         7:{1,3,4,7}:{(1,1),(18,1),(20,1),(47,1),(100,1),(105,1),(138,1),(186,1)}
         8:{2,3,4}:{(21,1),(22,1),(76,1)}
         9:{3,4,6}:{(2,1),(3,1),(24,1),(25,1),(26,1),(71,1)}
        10:{1,4,5}:{(2,1),(5,1),(24,1),(175,1)}
        11:{2,4,5}:{(2,1),(21,1),(25,1)}
        12:{3,4,5,7}:{(2,1),(26,1),(28,1),(29,1),(30,1),(75,1),(77,1),(124,1),(163,1),(173,1),(175,1)}
        13:{1,3,5,6}:{(3,1),(5,1),(24,1),(31,1),(32,1),(38,1),(71,1),(79,1),(131,1)}
        14:{2,5,6}:{(3,1),(25,1),(33,1)}
        15:{3,5,7}:{(3,1),(4,1),(26,1),(33,1),(34,1)}
        16:{1,4,6,7}:{(4,1),(34,1),(35,1),(86,1)}
        17:{1,2,5}:{(5,1),(6,1),(36,1),(136,1)}
        18:{1,3,5,7}:{(5,1),(7,1),(28,1),(37,1),(38,1),(77,1),(159,1),(169,1),(194,1)}
        19:{2,3,6}:{(6,1),(36,1),(39,1),(71,1)}
        20:{1,2,4,7}:{(6,1),(7,1),(37,1),(39,1),(87,1),(199,1)}
        21:{2,3,5}:{(8,1),(11,1),(40,1),(41,1),(50,1)}
        22:{1,2,4}:{(8,1),(41,1),(43,1),(92,1)}
        23:{2,3,4,7}:{(8,1),(42,1),(44,1),(45,1),(105,1),(141,1),(180,1),(203,1)}
        24:{1,4,6}:{(9,1),(10,1),(13,1),(47,1),(154,1)}
        25:{2,4,6}:{(9,1),(11,1),(14,1),(40,1),(48,1)}
        26:{3,4,7}:{(9,1),(15,1),(47,1),(48,1),(100,1)}
        27:{1,2,4,5}:{(10,1),(11,1),(17,1),(41,1),(46,1),(50,1),(60,1),(92,1),(109,1),(137,1)}
        28:{1,4,5,7}:{(10,1),(12,1),(18,1),(47,1),(52,1),(102,1),(148,1),(181,1)}
        29:{2,4,5,7}:{(11,1),(12,1),(42,1),(48,1),(53,1),(98,1),(103,1),(141,1)}
        30:{3,4,6}:{(12,1),(52,1),(53,1),(54,1),(106,1),(154,1)}
        31:{1,2,5,6}:{(13,1),(14,1),(17,1),(46,1),(55,1),(56,1),(62,1),(137,1),(177,1)}
        32:{1,3,5,7}:{(13,1),(15,1),(47,1),(56,1),(57,1),(100,1),(102,1),(151,1)}
        33:{2,5,7}:{(14,1),(15,1),(48,1),(58,1)}
        34:{3,6,7}:{(15,1),(16,1),(58,1)}
        35:{1,5,6,7}:{(16,1),(59,1),(102,1),(158,1)}
        36:{2,3,5}:{(17,1),(19,1),(50,1),(60,1)}
        37:{1,2,5,7}:{(17,1),(18,1),(20,1),(61,1),(62,1),(188,1),(204,1)}
        38:{1,3,6}:{(18,1),(52,1),(62,1),(106,1),(177,1)}
        39:{2,3,7}:{(19,1),(20,1),(100,1),(206,1)}
        40:{2,3,6}:{(21,1),(25,1),(63,1),(64,1),(71,1)}
        41:{1,2,5}:{(21,1),(22,1),(63,1),(65,1)}
        42:{2,3,5,7}:{(21,1),(23,1),(29,1),(64,1),(66,1),(67,1),(70,1),(77,1),(208,1)}
        43:{1,3}:{(22,1)}
        44:{1,2,4,7}:{(22,1),(23,1),(66,1),(68,1),(69,1),(118,1)}
        45:{2,3,4,6}:{(23,1),(67,1),(69,1),(70,1),(121,1),(130,1),(166,1),(168,1),(197,1)}
        46:{1,2,4,6}:{(24,1),(25,1),(27,1),(31,1),(63,1),(71,1),(72,1),(82,1),(114,1)}
        47:{1,4,7}:{(24,1),(26,1),(32,1),(173,1)}
        48:{2,4,7}:{(25,1),(26,1),(33,1),(64,1)}
        49:{3,4,6,7}:{(26,1),(30,1),(34,1),(73,1),(74,1),(75,1),(86,1),(127,1),(135,1),(163,1),(173,1)}
        50:{3,5}:{(27,1),(71,1),(76,1)}
        51:{1,2,4,5,7}:{(27,1),(28,1),(29,1),(37,1),(66,1),(72,1),(77,1),(78,1),(87,1),(118,1),(123,1),(128,1),(133,1),(136,1),(159,1),(162,1),(164,1),(173,1),(175,1),(192,1),(208,1)}
        52:{1,4,6}:{(28,1),(30,1),(38,1),(79,1)}
        53:{2,4,6}:{(29,1),(30,1),(67,1),(80,1)}
        54:{3,5,6}:{(30,1),(75,1),(79,1),(80,1),(81,1)}
        55:{2,3,5,6}:{(31,1),(36,1),(71,1),(82,1),(83,1),(88,1),(125,1),(131,1),(136,1),(171,1),(176,1)}
        56:{1,2,5,7}:{(31,1),(32,1),(33,1),(72,1),(83,1),(84,1),(159,1)}
        57:{1,3,6,7}:{(32,1),(34,1),(38,1),(73,1),(84,1),(127,1),(194,1)}
        58:{2,6,7}:{(33,1),(34,1)}
        59:{3,5,6,7}:{(34,1),(35,1),(75,1),(85,1),(86,1),(135,1)}
        60:{2,4}:{(36,1),(76,1)}
        61:{2,3,5,7}:{(36,1),(37,1),(39,1),(77,1),(87,1),(88,1),(136,1),(170,1),(195,1),(208,1)}
        62:{1,2,6}:{(37,1),(38,1),(88,1)}
        63:{1,2,6}:{(40,1),(41,1),(89,1),(90,1)}
        64:{2,3,7}:{(40,1),(48,1),(90,1),(100,1)}
        65:{1,3,5}:{(41,1),(43,1),(50,1),(89,1),(92,1),(137,1)}
        66:{1,2,5,7}:{(41,1),(42,1),(44,1),(90,1),(93,1),(94,1),(97,1)}
        67:{2,3,6}:{(42,1),(53,1),(94,1),(106,1),(209,1)}
        68:{1,3,7}:{(43,1),(44,1),(96,1),(180,1)}
        69:{1,2,4,6}:{(44,1),(45,1),(94,1),(96,1),(97,1),(142,1),(146,1)}
        70:{2,3,5}:{(45,1),(97,1),(98,1),(147,1),(153,1),(205,1)}
        71:{3,6}:{(46,1),(50,1),(100,1)}
        72:{1,2,4,7}:{(46,1),(47,1),(48,1),(56,1),(90,1),(100,1),(110,1),(138,1)}
        73:{1,4,6,7}:{(47,1),(49,1),(52,1),(57,1),(102,1),(158,1),(181,1)}
        74:{2,4,6,7}:{(48,1),(49,1),(53,1),(58,1),(91,1),(103,1),(141,1)}
        75:{3,5,7}:{(49,1),(54,1),(102,1),(103,1),(104,1)}
        76:{3,4}:{(50,1),(60,1),(92,1)}
        77:{3,5,7}:{(50,1),(51,1),(100,1),(105,1),(106,1),(147,1),(153,1),(180,1)}
        78:{1,2,4,6}:{(51,1),(52,1),(53,1),(62,1),(94,1),(106,1),(107,1),(113,1),(142,1),(154,1),(156,1),(177,1),(201,1),(209,1)}
        79:{1,5,6}:{(52,1),(54,1),(102,1)}
        80:{2,5,6}:{(53,1),(54,1),(103,1)}
        81:{4,5,6}:{(54,1),(104,1),(154,1)}
        82:{2,4,6}:{(55,1),(60,1),(99,1),(109,1),(110,1),(154,1)}
        83:{2,3,5,7}:{(55,1),(56,1),(100,1),(110,1),(111,1),(149,1),(151,1),(157,1)}
        84:{1,2,6,7}:{(56,1),(57,1),(58,1),(62,1),(111,1),(177,1),(204,1)}
        85:{2,5,6,7}:{(58,1),(59,1),(103,1),(112,1)}
        86:{4,6,7}:{(59,1),(104,1)}
        87:{2,4,7}:{(60,1),(61,1),(105,1),(113,1),(187,1)}
        88:{2,3,6}:{(61,1),(62,1),(106,1),(113,1),(209,1)}
        89:{1,3,6}:{(63,1),(65,1),(71,1),(114,1),(115,1)}
        90:{1,2,7}:{(63,1),(64,1),(115,1)}
        91:{2,3,6,7}:{(64,1),(67,1),(74,1),(116,1),(117,1),(127,1),(135,1)}
        92:{1,4}:{(65,1),(76,1)}
        93:{1,3,5,7}:{(65,1),(66,1),(68,1),(77,1),(115,1),(118,1),(119,1),(122,1),(159,1),(164,1)}
        94:{1,2,6}:{(66,1),(67,1),(119,1)}
        95:{2,3,5,6}:{(67,1),(70,1),(80,1),(117,1),(120,1),(121,1),(131,1),(132,1),(166,1)}
        96:{1,3,6}:{(68,1),(69,1),(122,1),(166,1)}
        97:{1,2,5}:{(69,1),(70,1),(122,1),(164,1)}
        98:{2,4,5}:{(70,1),(121,1),(124,1),(175,1)}
        99:{3,4,6}:{(71,1),(76,1),(82,1),(114,1),(125,1),(126,1),(171,1)}
       100:{3,7}:{(71,1),(72,1)}
       101:{1,2,4,6,7}:{(72,1),(73,1),(74,1),(78,1),(84,1),(116,1),(127,1),(128,1),(134,1),(160,1),(162,1),(173,1)}
       102:{1,5,7}:{(73,1),(75,1),(79,1)}
       103:{2,5,7}:{(74,1),(75,1),(80,1)}
       104:{4,5,7}:{(75,1),(81,1),(86,1),(173,1)}
       105:{3,4,7}:{(76,1),(77,1),(87,1),(118,1),(130,1),(168,1),(173,1)}
       106:{3,6}:{(77,1),(78,1)}
       107:{1,2,5,6}:{(78,1),(79,1),(80,1),(128,1),(131,1),(136,1),(164,1),(176,1),(191,1)}
       108:{2,4,5,6}:{(80,1),(81,1),(121,1),(129,1),(132,1)}
       109:{2,4,5}:{(82,1),(125,1),(136,1),(175,1)}
       110:{2,4,7}:{(82,1),(83,1),(126,1),(173,1)}
       111:{2,3,6,7}:{(83,1),(84,1),(88,1),(127,1),(134,1),(171,1),(195,1)}
       112:{2,4,6,7}:{(85,1),(86,1),(129,1),(135,1)}
       113:{2,4,6}:{(87,1),(88,1),(130,1),(136,1)}
       114:{1,4,6}:{(89,1),(92,1),(99,1),(137,1),(138,1),(177,1)}
       115:{1,3,7}:{(89,1),(90,1),(100,1),(138,1)}
       116:{1,2,6,7}:{(90,1),(91,1),(94,1),(139,1),(140,1),(158,1),(209,1)}
       117:{2,3,5,7}:{(91,1),(95,1),(103,1),(140,1),(141,1),(151,1),(152,1),(180,1)}
       118:{1,4,7}:{(92,1),(93,1),(105,1),(142,1),(146,1)}
       119:{1,3,6}:{(93,1),(94,1),(106,1),(142,1),(177,1)}
       120:{1,2,5,6}:{(94,1),(95,1),(97,1),(140,1),(143,1),(144,1),(155,1),(205,1),(209,1)}
       121:{2,4,6}:{(95,1),(98,1),(141,1),(145,1),(154,1)}
       122:{1,3,5}:{(96,1),(97,1),(146,1),(147,1)}
       123:{1,2,4,5}:{(97,1),(98,1),(144,1),(146,1),(147,1),(148,1),(182,1),(187,1),(188,1),(205,1)}
       124:{3,4,5}:{(98,1),(145,1),(147,1),(148,1)}
       125:{3,5}:{(99,1),(109,1),(137,1)}
       126:{3,4,7}:{(99,1),(100,1),(110,1),(138,1),(149,1)}
       127:{3,6,7}:{(100,1),(101,1),(106,1),(151,1),(180,1)}
       128:{1,2,5,7}:{(101,1),(102,1),(103,1),(107,1),(151,1),(157,1),(178,1)}
       129:{2,4,5,7}:{(103,1),(104,1),(108,1),(112,1),(141,1),(152,1)}
       130:{3,4,6}:{(105,1),(106,1),(113,1),(142,1),(153,1),(154,1)}
       131:{3,5,6}:{(106,1),(107,1),(151,1),(153,1),(154,1)}
       132:{3,5,6}:{(108,1),(145,1),(152,1),(155,1)}
       133:{2,4,5,7}:{(109,1),(110,1),(149,1),(156,1),(157,1),(190,1)}
       134:{2,4,6,7}:{(110,1),(111,1),(113,1),(150,1),(156,1),(157,1),(203,1),(209,1)}
       135:{3,6,7}:{(112,1),(152,1),(158,1)}
       136:{2,5}:{(113,1),(153,1)}
       137:{1,5}:{(114,1),(125,1)}
       138:{1,4,7}:{(114,1),(115,1),(126,1),(159,1)}
       139:{1,3,6,7}:{(115,1),(116,1),(119,1),(127,1),(160,1),(161,1),(207,1)}
       140:{1,2,5,7}:{(116,1),(117,1),(120,1),(161,1),(162,1),(174,1),(208,1)}
       141:{2,4,7}:{(117,1),(121,1),(163,1),(173,1)}
       142:{1,4,6}:{(118,1),(119,1),(130,1),(164,1)}
       143:{1,3,5,6}:{(119,1),(120,1),(122,1),(131,1),(161,1),(164,1),(165,1),(166,1),(191,1),(196,1),(207,1)}
       144:{1,2,4,6}:{(120,1),(121,1),(123,1),(162,1),(165,1),(166,1),(167,1),(197,1),(198,1)}
       145:{3,4,6}:{(121,1),(124,1),(132,1),(163,1),(166,1),(167,1)}
       146:{1,4}:{(122,1),(168,1)}
       147:{3,5}:{(123,1),(166,1),(168,1)}
       148:{1,4,5}:{(124,1),(167,1),(169,1)}
       149:{3,5,7}:{(125,1),(126,1),(133,1),(159,1),(171,1)}
       150:{3,4,6,7}:{(126,1),(127,1),(130,1),(134,1),(160,1),(171,1),(172,1),(173,1),(193,1),(200,1),(207,1)}
       151:{3,5,7}:{(127,1),(128,1),(131,1),(173,1)}
       152:{3,5,7}:{(129,1),(132,1),(135,1),(163,1),(174,1)}
       153:{3,5}:{(130,1),(136,1),(164,1),(175,1)}
       154:{4,6}:{(131,1),(173,1),(175,1)}
       155:{1,5,6}:{(132,1),(167,1),(174,1)}
       156:{2,4,6}:{(133,1),(171,1),(176,1),(200,1)}
       157:{2,5,7}:{(134,1),(136,1),(172,1),(176,1)}
       158:{1,6,7}:{(135,1),(174,1)}
       159:{1,5,7}:{(137,1),(138,1),(149,1),(177,1)}
       160:{1,4,6,7}:{(138,1),(139,1),(142,1),(150,1),(177,1),(178,1),(179,1),(201,1)}
       161:{1,3,5,7}:{(139,1),(140,1),(143,1),(151,1),(178,1),(179,1),(180,1),(202,1)}
       162:{1,2,4,7}:{(140,1),(141,1),(144,1),(179,1),(180,1),(181,1),(203,1),(204,1)}
       163:{3,4,7}:{(141,1),(145,1),(152,1),(180,1),(181,1)}
       164:{1,5}:{(142,1),(153,1)}
       165:{1,4,6}:{(143,1),(146,1),(154,1),(179,1),(182,1),(183,1)}
       166:{3,6}:{(144,1),(147,1),(180,1)}
       167:{1,4,6}:{(145,1),(148,1),(155,1),(181,1),(184,1)}
       168:{3,4}:{(146,1),(147,1),(187,1)}
       169:{1,3,5}:{(147,1),(148,1),(184,1),(186,1),(188,1)}
       170:{2,3,5}:{(147,1),(185,1),(187,1),(188,1),(205,1),(206,1)}
       171:{3,6}:{(149,1),(156,1),(177,1)}
       172:{3,5,7}:{(150,1),(153,1),(157,1),(178,1),(189,1),(190,1)}
       173:{4,7}:{(151,1),(154,1)}
       174:{1,5,7}:{(152,1),(155,1),(158,1),(181,1)}
       175:{4,5}:{(153,1),(154,1)}
       176:{2,5,6}:{(156,1),(157,1),(189,1),(209,1)}
       177:{1,6}:{(159,1),(171,1)}
       178:{1,5,7}:{(160,1),(164,1),(172,1),(191,1)}
       179:{1,4,7}:{(161,1),(165,1),(173,1),(193,1)}
       180:{3,7}:{(162,1),(166,1)}
       181:{1,4,7}:{(163,1),(167,1),(174,1),(194,1)}
       182:{1,4,5}:{(164,1),(165,1),(175,1),(196,1)}
       183:{3,4,6}:{(165,1),(166,1),(168,1),(193,1),(196,1),(197,1),(207,1)}
       184:{1,3,6}:{(166,1),(167,1),(169,1),(194,1),(198,1)}
       185:{2,3,6}:{(166,1),(170,1),(195,1),(197,1),(198,1)}
       186:{1,3,4}:{(168,1),(169,1),(199,1)}
       187:{2,4}:{(168,1),(170,1)}
       188:{1,2,5}:{(169,1),(170,1),(198,1),(199,1)}
       189:{3,5,6}:{(171,1),(172,1),(176,1),(191,1),(200,1),(207,1)}
       190:{4,5,7}:{(172,1),(173,1),(175,1),(200,1)}
       191:{1,5,6}:{(177,1),(178,1),(189,1),(201,1)}
       192:{1,4,5,7}:{(178,1),(179,1),(182,1),(190,1),(201,1),(202,1)}
       193:{3,4,7}:{(179,1),(180,1),(183,1),(202,1),(203,1)}
       194:{1,3,7}:{(180,1),(181,1),(184,1),(204,1)}
       195:{2,3,7}:{(180,1),(185,1),(203,1),(204,1)}
       196:{3,5}:{(182,1),(183,1),(205,1)}
       197:{2,4,6}:{(183,1),(185,1),(187,1),(203,1),(205,1),(209,1)}
       198:{1,2,6}:{(184,1),(185,1),(188,1),(204,1)}
       199:{1,2,4}:{(186,1),(187,1),(188,1),(206,1)}
       200:{4,6}:{(189,1),(190,1)}
       201:{1,4,6}:{(191,1),(192,1),(200,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(196,1),(207,1),(208,1)}
       203:{2,4,7}:{(193,1),(195,1),(197,1),(208,1)}
       204:{1,2,7}:{(194,1),(195,1),(198,1)}
       205:{2,5}:{(196,1),(197,1)}
       206:{2,3}:{(199,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{2,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

1199 :   0:{3,4,5,6}:{(1,1),(2,1),(3,1),(20,1),(158,1),(170,1),(206,1)}
         1:{1,4,5,6}:{(0,1),(6,1),(9,1),(178,1),(215,1)}
         2:{2,4,5,6}:{(0,1),(7,1),(10,1),(171,1),(212,1)}
         3:{3,4,5,7}:{(0,1),(9,1),(10,1),(11,1),(38,1),(141,1)}
         4:{2,3,4,5}:{(12,1),(13,1),(58,1),(88,1),(142,1)}
         5:{1,3,4,5}:{(14,1),(15,1),(58,1),(95,1),(150,1)}
         6:{1,3,5,6}:{(1,1),(14,1),(16,1),(17,1),(20,1),(150,1),(203,1)}
         7:{2,3,5,6}:{(2,1),(12,1),(18,1),(19,1),(20,1),(142,1),(198,1)}
         8:{1,2,4,5,6}:{(1,1),(2,1),(16,1),(18,1),(20,1),(21,1),(52,1),(55,1),(99,1),(163,1),(166,1),(168,1),(170,1)}
         9:{1,4,5,7}:{(1,1),(3,1),(17,1),(22,1)}
        10:{2,4,5,7}:{(2,1),(3,1),(19,1),(23,1)}
        11:{3,4,6,7}:{(3,1),(22,1),(23,1),(24,1),(60,1),(111,1),(206,1)}
        12:{2,3,4,6}:{(4,1),(7,1),(25,1),(26,1),(37,1)}
        13:{1,2,4,5}:{(4,1),(25,1),(27,1),(65,1),(77,1),(113,1)}
        14:{1,3,4,6}:{(5,1),(6,1),(28,1),(29,1),(37,1)}
        15:{1,2,4,5}:{(5,1),(28,1),(30,1),(70,1),(74,1),(121,1)}
        16:{1,2,5,6}:{(6,1),(28,1),(31,1),(32,1),(121,1),(182,1)}
        17:{1,3,5,7}:{(6,1),(9,1),(29,1),(32,1),(33,1),(38,1)}
        18:{1,2,5,6}:{(7,1),(25,1),(34,1),(35,1),(113,1),(175,1)}
        19:{2,3,5,7}:{(7,1),(10,1),(26,1),(35,1),(36,1),(38,1)}
        20:{3,5,6}:{(8,1),(37,1),(38,1),(128,1),(188,1)}
        21:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(32,1),(35,1),(38,1),(39,1),(75,1),(78,1),(135,1),(138,1),(141,1)}
        22:{1,4,6,7}:{(9,1),(11,1),(33,1),(40,1),(215,1)}
        23:{2,4,6,7}:{(10,1),(11,1),(36,1),(41,1),(212,1)}
        24:{3,5,6,7}:{(11,1),(40,1),(41,1),(42,1),(218,1)}
        25:{1,2,4,6}:{(12,1),(13,1),(18,1),(43,1),(44,1),(55,1)}
        26:{2,3,4,7}:{(12,1),(19,1),(44,1),(59,1)}
        27:{1,3,5}:{(13,1),(43,1),(46,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(16,1),(47,1),(48,1),(52,1)}
        29:{1,3,4,7}:{(14,1),(17,1),(48,1),(59,1)}
        30:{2,3,5}:{(15,1),(47,1),(50,1)}
        31:{2,3,5,6}:{(16,1),(20,1),(47,1),(52,1),(53,1),(93,1),(155,1),(166,1)}
        32:{1,2,5,7}:{(16,1),(17,1),(48,1),(53,1),(54,1)}
        33:{1,3,6,7}:{(17,1),(22,1),(54,1),(60,1),(203,1)}
        34:{1,3,5,6}:{(18,1),(20,1),(43,1),(55,1),(56,1),(86,1),(147,1),(168,1)}
        35:{1,2,5,7}:{(18,1),(19,1),(44,1),(56,1),(57,1)}
        36:{2,3,6,7}:{(19,1),(23,1),(57,1),(60,1),(198,1)}
        37:{3,4,6}:{(20,1),(52,1),(55,1),(58,1),(59,1)}
        38:{3,5,7}:{(20,1),(21,1),(59,1),(60,1)}
        39:{1,2,4,6,7}:{(21,1),(22,1),(23,1),(54,1),(57,1),(60,1),(61,1),(104,1),(107,1),(111,1),(163,1)}
        40:{1,5,6,7}:{(22,1),(24,1),(224,1)}
        41:{2,5,6,7}:{(23,1),(24,1),(222,1)}
        42:{4,5,6,7}:{(24,1),(111,1),(226,1)}
        43:{1,3,6}:{(25,1),(27,1),(64,1)}
        44:{1,2,4,7}:{(25,1),(26,1),(35,1),(64,1),(78,1)}
        45:{1,2,3,5}:{(27,1),(62,1),(65,1),(113,1),(117,1)}
        46:{1,3,4}:{(27,1),(65,1)}
        47:{2,3,6}:{(28,1),(30,1),(69,1)}
        48:{1,2,4,7}:{(28,1),(29,1),(32,1),(69,1),(75,1)}
        49:{1,2,3,5}:{(30,1),(67,1),(70,1),(121,1),(125,1)}
        50:{2,3,4}:{(30,1),(70,1)}
        51:{1,2,3,5,6}:{(31,1),(34,1),(62,1),(67,1),(72,1),(73,1),(113,1),(121,1),(128,1),(172,1),(175,1),(179,1),(182,1),(188,1),(191,1)}
        52:{2,4,6}:{(31,1),(37,1),(74,1),(75,1)}
        53:{2,3,5,7}:{(31,1),(32,1),(38,1),(69,1),(75,1),(76,1),(135,1)}
        54:{1,2,6,7}:{(32,1),(33,1),(76,1),(182,1)}
        55:{1,4,6}:{(34,1),(37,1),(77,1),(78,1)}
        56:{1,3,5,7}:{(34,1),(35,1),(38,1),(64,1),(78,1),(79,1),(138,1)}
        57:{1,2,6,7}:{(35,1),(36,1),(79,1),(175,1)}
        58:{3,4,5}:{(37,1),(74,1),(77,1),(128,1)}
        59:{3,4,7}:{(37,1),(38,1),(75,1),(78,1)}
        60:{3,6,7}:{(38,1),(39,1),(188,1)}
        61:{1,2,5,6,7}:{(39,1),(40,1),(41,1),(83,1),(135,1),(138,1),(191,1)}
        62:{1,2,3,6}:{(43,1),(45,1),(84,1),(85,1),(148,1)}
        63:{1,3,4,6}:{(43,1),(46,1),(55,1),(84,1),(86,1),(87,1),(98,1),(147,1)}
        64:{1,3,7}:{(43,1),(44,1)}
        65:{1,2,4}:{(45,1),(46,1),(88,1)}
        66:{1,3,4,5}:{(46,1),(86,1),(89,1),(90,1),(158,1)}
        67:{1,2,3,6}:{(47,1),(49,1),(91,1),(92,1),(156,1)}
        68:{2,3,4,6}:{(47,1),(50,1),(52,1),(91,1),(93,1),(94,1),(98,1),(155,1)}
        69:{2,3,7}:{(47,1),(48,1)}
        70:{1,2,4}:{(49,1),(50,1),(95,1)}
        71:{2,3,4,5}:{(50,1),(93,1),(96,1),(97,1),(158,1)}
        72:{1,2,4,6}:{(51,1),(52,1),(55,1),(98,1),(99,1),(100,1),(195,1),(200,1)}
        73:{1,2,3,5,7}:{(51,1),(53,1),(56,1),(85,1),(92,1),(100,1),(101,1),(145,1),(153,1),(160,1),(164,1),(197,1),(202,1)}
        74:{2,4,5}:{(52,1),(58,1),(93,1)}
        75:{2,4,7}:{(52,1),(53,1),(59,1)}
        76:{2,3,6,7}:{(53,1),(54,1),(60,1),(104,1),(155,1)}
        77:{1,4,5}:{(55,1),(58,1),(86,1)}
        78:{1,4,7}:{(55,1),(56,1),(59,1)}
        79:{1,3,6,7}:{(56,1),(57,1),(60,1),(107,1),(147,1)}
        80:{3,4,5,6}:{(58,1),(102,1),(105,1),(108,1),(109,1),(159,1),(226,1)}
        81:{3,4,5,7}:{(58,1),(59,1),(103,1),(106,1),(109,1),(110,1),(160,1),(209,1)}
        82:{3,4,6,7}:{(59,1),(60,1),(104,1),(107,1),(109,1),(110,1),(111,1)}
        83:{3,5,6,7}:{(60,1),(61,1),(110,1),(111,1),(208,1)}
        84:{1,2,4,6}:{(62,1),(63,1),(65,1),(112,1),(113,1),(114,1),(175,1)}
        85:{1,2,3,7}:{(62,1),(64,1),(114,1),(177,1)}
        86:{1,3,5}:{(63,1),(77,1),(113,1),(128,1)}
        87:{1,3,4,7}:{(63,1),(64,1),(78,1),(114,1),(116,1),(129,1)}
        88:{2,3,4}:{(65,1),(117,1)}
        89:{1,2,4,5}:{(65,1),(66,1),(113,1),(117,1),(118,1),(171,1)}
        90:{1,3,4,6}:{(66,1),(115,1),(118,1),(119,1),(185,1)}
        91:{1,2,4,6}:{(67,1),(68,1),(70,1),(120,1),(121,1),(122,1),(182,1)}
        92:{1,2,3,7}:{(67,1),(69,1),(122,1),(184,1)}
        93:{2,3,5}:{(68,1),(74,1),(121,1),(128,1)}
        94:{2,3,4,7}:{(68,1),(69,1),(75,1),(122,1),(124,1),(129,1)}
        95:{1,3,4}:{(70,1),(125,1)}
        96:{1,2,4,5}:{(70,1),(71,1),(121,1),(125,1),(126,1),(178,1)}
        97:{2,3,4,6}:{(71,1),(123,1),(126,1),(127,1),(185,1)}
        98:{3,4,6}:{(72,1),(128,1),(129,1),(188,1)}
        99:{1,2,4,5}:{(72,1),(74,1),(77,1),(113,1),(121,1),(128,1),(171,1),(178,1)}
       100:{1,2,4,7}:{(72,1),(73,1),(75,1),(78,1),(129,1),(211,1),(214,1)}
       101:{1,2,3,6,7}:{(73,1),(76,1),(79,1),(132,1),(175,1),(182,1),(188,1),(213,1),(216,1)}
       102:{2,4,5,6}:{(74,1),(80,1),(123,1),(133,1),(134,1)}
       103:{2,4,5,7}:{(74,1),(75,1),(81,1),(124,1),(134,1),(135,1)}
       104:{2,4,6,7}:{(75,1),(76,1),(82,1),(134,1),(135,1)}
       105:{1,4,5,6}:{(77,1),(80,1),(115,1),(136,1),(137,1)}
       106:{1,4,5,7}:{(77,1),(78,1),(81,1),(116,1),(137,1),(138,1)}
       107:{1,4,6,7}:{(78,1),(79,1),(82,1),(137,1),(138,1)}
       108:{3,4,5,7}:{(80,1),(133,1),(136,1),(139,1),(187,1),(230,1)}
       109:{3,4,6}:{(81,1),(134,1),(137,1),(140,1),(188,1),(220,1)}
       110:{3,5,7}:{(82,1),(135,1),(138,1),(140,1),(141,1)}
       111:{4,6,7}:{(83,1),(141,1),(220,1)}
       112:{2,3,4,6}:{(84,1),(88,1),(98,1),(142,1),(143,1),(148,1),(195,1),(198,1)}
       113:{1,2,5}:{(84,1),(86,1),(142,1)}
       114:{1,2,4,7}:{(84,1),(85,1),(87,1),(143,1),(145,1)}
       115:{1,3,5,6}:{(86,1),(90,1),(105,1),(144,1),(146,1),(147,1),(159,1)}
       116:{1,3,5,7}:{(86,1),(87,1),(106,1),(145,1),(147,1),(160,1)}
       117:{2,3,5}:{(88,1),(89,1),(148,1)}
       118:{1,2,4,6}:{(89,1),(90,1),(144,1),(148,1),(149,1),(195,1)}
       119:{1,3,4,7}:{(90,1),(146,1),(149,1),(205,1)}
       120:{1,3,4,6}:{(91,1),(95,1),(98,1),(150,1),(151,1),(156,1),(200,1),(203,1)}
       121:{1,2,5}:{(91,1),(93,1),(150,1)}
       122:{1,2,4,7}:{(91,1),(92,1),(94,1),(151,1),(153,1)}
       123:{2,3,5,6}:{(93,1),(97,1),(102,1),(152,1),(154,1),(155,1),(159,1)}
       124:{2,3,5,7}:{(93,1),(94,1),(103,1),(153,1),(155,1),(160,1)}
       125:{1,3,5}:{(95,1),(96,1),(156,1)}
       126:{1,2,4,6}:{(96,1),(97,1),(152,1),(156,1),(157,1),(200,1)}
       127:{2,3,4,7}:{(97,1),(154,1),(157,1),(205,1)}
       128:{3,5}:{(98,1),(99,1)}
       129:{3,4,7}:{(98,1),(100,1),(160,1)}
       130:{1,2,4,5,6}:{(99,1),(102,1),(105,1),(144,1),(152,1),(159,1),(162,1),(163,1),(195,1),(200,1),(222,1),(224,1),(226,1)}
       131:{1,2,4,5,7}:{(99,1),(100,1),(103,1),(106,1),(145,1),(153,1),(160,1),(163,1),(164,1),(196,1),(201,1),(209,1)}
       132:{1,2,4,6,7}:{(100,1),(101,1),(104,1),(107,1),(161,1),(163,1),(164,1),(221,1),(223,1)}
       133:{2,4,5,7}:{(102,1),(108,1),(154,1),(165,1)}
       134:{2,4,6}:{(103,1),(109,1),(155,1),(166,1)}
       135:{2,5,7}:{(104,1),(110,1),(166,1)}
       136:{1,4,5,7}:{(105,1),(108,1),(146,1),(167,1)}
       137:{1,4,6}:{(106,1),(109,1),(147,1),(168,1)}
       138:{1,5,7}:{(107,1),(110,1),(168,1)}
       139:{3,4,6,7}:{(108,1),(109,1),(165,1),(167,1),(169,1),(207,1),(227,1)}
       140:{3,5,6}:{(109,1),(110,1),(166,1),(168,1),(170,1)}
       141:{4,5,7}:{(110,1),(111,1),(170,1)}
       142:{2,3,5}:{(112,1),(113,1),(128,1),(171,1)}
       143:{2,3,4,7}:{(112,1),(114,1),(129,1),(173,1),(177,1),(211,1)}
       144:{1,2,5,6}:{(113,1),(115,1),(118,1),(172,1),(174,1),(175,1)}
       145:{1,2,5,7}:{(113,1),(114,1),(116,1),(173,1),(175,1)}
       146:{1,3,5,7}:{(115,1),(119,1),(136,1),(174,1),(176,1),(187,1)}
       147:{1,3,6}:{(116,1),(137,1),(175,1),(188,1)}
       148:{2,3,6}:{(117,1),(118,1),(177,1)}
       149:{1,2,4,7}:{(118,1),(119,1),(174,1),(177,1),(211,1)}
       150:{1,3,5}:{(120,1),(121,1),(128,1),(178,1)}
       151:{1,3,4,7}:{(120,1),(122,1),(129,1),(180,1),(184,1),(214,1)}
       152:{1,2,5,6}:{(121,1),(123,1),(126,1),(179,1),(181,1),(182,1)}
       153:{1,2,5,7}:{(121,1),(122,1),(124,1),(180,1),(182,1)}
       154:{2,3,5,7}:{(123,1),(127,1),(133,1),(181,1),(183,1),(187,1)}
       155:{2,3,6}:{(124,1),(134,1),(182,1),(188,1)}
       156:{1,3,6}:{(125,1),(126,1),(184,1)}
       157:{1,2,4,7}:{(126,1),(127,1),(181,1),(184,1),(214,1)}
       158:{3,4,5}:{(128,1),(171,1),(178,1),(185,1)}
       159:{3,5,6}:{(128,1),(130,1),(185,1),(187,1),(188,1)}
       160:{3,5,7}:{(128,1),(129,1),(131,1),(188,1)}
       161:{3,4,6,7}:{(129,1),(132,1),(188,1),(189,1),(220,1)}
       162:{1,2,4,5,7}:{(130,1),(133,1),(136,1),(174,1),(181,1),(187,1),(190,1),(211,1),(214,1),(228,1),(229,1),(230,1)}
       163:{1,2,4,6}:{(131,1),(134,1),(137,1),(175,1),(182,1),(188,1),(191,1),(212,1),(215,1),(220,1)}
       164:{1,2,5,7}:{(132,1),(135,1),(138,1),(189,1),(191,1),(228,1),(229,1)}
       165:{2,4,6,7}:{(133,1),(134,1),(139,1),(183,1),(192,1)}
       166:{2,5,6}:{(134,1),(135,1),(140,1)}
       167:{1,4,6,7}:{(136,1),(137,1),(139,1),(176,1),(193,1)}
       168:{1,5,6}:{(137,1),(138,1),(140,1)}
       169:{3,5,6,7}:{(139,1),(140,1),(192,1),(193,1),(194,1)}
       170:{4,5,6}:{(140,1),(141,1),(220,1)}
       171:{2,4,5}:{(142,1),(158,1),(195,1)}
       172:{2,3,5,6}:{(142,1),(144,1),(148,1),(159,1),(195,1),(197,1),(198,1),(222,1)}
       173:{2,3,5,7}:{(142,1),(143,1),(145,1),(160,1),(196,1),(198,1)}
       174:{1,2,5,7}:{(144,1),(146,1),(149,1),(197,1),(199,1)}
       175:{1,2,6}:{(145,1),(147,1),(198,1)}
       176:{1,3,6,7}:{(146,1),(147,1),(167,1),(199,1),(207,1)}
       177:{2,3,7}:{(148,1),(149,1)}
       178:{1,4,5}:{(150,1),(158,1),(200,1)}
       179:{1,3,5,6}:{(150,1),(152,1),(156,1),(159,1),(200,1),(202,1),(203,1),(224,1)}
       180:{1,3,5,7}:{(150,1),(151,1),(153,1),(160,1),(201,1),(203,1)}
       181:{1,2,5,7}:{(152,1),(154,1),(157,1),(202,1),(204,1)}
       182:{1,2,6}:{(153,1),(155,1),(203,1)}
       183:{2,3,6,7}:{(154,1),(155,1),(165,1),(204,1),(207,1)}
       184:{1,3,7}:{(156,1),(157,1)}
       185:{3,4,6}:{(158,1),(159,1),(195,1),(200,1),(205,1)}
       186:{3,4,5,7}:{(158,1),(160,1),(196,1),(201,1),(205,1),(206,1),(209,1),(225,1)}
       187:{3,5,7}:{(159,1),(162,1),(205,1),(207,1)}
       188:{3,6}:{(160,1),(163,1)}
       189:{3,5,7}:{(161,1),(164,1),(208,1),(209,1)}
       190:{1,2,4,6,7}:{(162,1),(163,1),(165,1),(167,1),(199,1),(204,1),(207,1),(210,1),(221,1),(223,1),(227,1)}
       191:{1,2,5,6}:{(163,1),(164,1),(166,1),(168,1),(208,1),(222,1),(224,1)}
       192:{2,5,6,7}:{(165,1),(166,1),(169,1)}
       193:{1,5,6,7}:{(167,1),(168,1),(169,1)}
       194:{4,5,6,7}:{(169,1),(170,1),(227,1)}
       195:{2,4,6}:{(171,1),(172,1),(185,1),(211,1)}
       196:{2,4,5,7}:{(171,1),(173,1),(186,1),(211,1),(212,1),(228,1)}
       197:{2,3,5,7}:{(172,1),(174,1),(177,1),(187,1),(211,1),(213,1),(228,1)}
       198:{2,3,6}:{(173,1),(175,1),(188,1),(212,1)}
       199:{1,2,6,7}:{(174,1),(175,1),(176,1),(213,1)}
       200:{1,4,6}:{(178,1),(179,1),(185,1),(214,1)}
       201:{1,4,5,7}:{(178,1),(180,1),(186,1),(214,1),(215,1),(229,1)}
       202:{1,3,5,7}:{(179,1),(181,1),(184,1),(187,1),(214,1),(216,1),(229,1)}
       203:{1,3,6}:{(180,1),(182,1),(188,1),(215,1)}
       204:{1,2,6,7}:{(181,1),(182,1),(183,1),(216,1)}
       205:{3,4,7}:{(185,1),(187,1),(211,1),(214,1)}
       206:{3,4,6}:{(186,1),(188,1),(212,1),(215,1),(218,1),(220,1)}
       207:{3,6,7}:{(187,1),(188,1),(190,1)}
       208:{3,5,6}:{(188,1),(189,1),(191,1),(220,1)}
       209:{4,5,7}:{(189,1),(220,1)}
       210:{1,2,5,6,7}:{(190,1),(191,1),(192,1),(193,1),(219,1),(228,1),(229,1)}
       211:{2,4,7}:{(195,1),(197,1),(205,1)}
       212:{2,4,6}:{(196,1),(198,1),(206,1),(222,1)}
       213:{2,3,6,7}:{(197,1),(198,1),(199,1),(207,1),(221,1)}
       214:{1,4,7}:{(200,1),(202,1),(205,1)}
       215:{1,4,6}:{(201,1),(203,1),(206,1),(224,1)}
       216:{1,3,6,7}:{(202,1),(203,1),(204,1),(207,1),(223,1)}
       217:{3,4,6,7}:{(205,1),(206,1),(207,1),(221,1),(223,1),(225,1),(227,1)}
       218:{3,5,6}:{(206,1),(222,1),(224,1),(225,1),(226,1)}
       219:{3,5,6,7}:{(207,1),(208,1),(210,1),(225,1),(227,1)}
       220:{4,6}:{(208,1),(209,1)}
       221:{2,4,6,7}:{(211,1),(212,1),(213,1),(217,1),(228,1)}
       222:{2,5,6}:{(212,1),(218,1),(228,1)}
       223:{1,4,6,7}:{(214,1),(215,1),(216,1),(217,1),(229,1)}
       224:{1,5,6}:{(215,1),(218,1),(229,1)}
       225:{3,5,7}:{(217,1),(218,1),(228,1),(229,1),(230,1)}
       226:{4,5,6}:{(218,1),(220,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{2,5,7}:{(221,1),(222,1),(225,1)}
       229:{1,5,7}:{(223,1),(224,1),(225,1)}
       230:{4,5,7}:{(225,1),(226,1),(227,1)}

1200 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(75,1),(76,1),(78,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(14,1),(39,1),(40,1),(41,1),(44,1),(46,1),(78,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(24,1),(82,1),(83,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(57,1),(58,1),(62,1),(64,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(49,1),(50,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(15,1),(33,1),(41,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(12,1),(94,1),(95,1)}
         7:{1,2,4,5}:{(4,1),(14,1),(35,1),(36,1),(44,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(15,1),(67,1),(68,1)}
         9:{3,4,6}:{(4,1),(14,1),(15,1),(41,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,4,5,6}:{(7,1),(22,1),(23,1),(24,1),(49,1),(50,1),(51,1),(59,1),(86,1),(87,1)}
        12:{1,2,5,6}:{(6,1),(18,1),(24,1),(86,1),(87,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(24,1),(25,1),(53,1),(54,1),(62,1)}
        14:{3,5}:{(7,1),(9,1)}
        15:{3,4,7}:{(8,1),(9,1),(25,1)}
        16:{1,3,4,6}:{(9,1),(26,1),(28,1),(30,1),(49,1),(60,1),(85,1),(90,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(29,1),(30,1),(50,1),(61,1),(85,1),(90,1),(105,1)}
        18:{3,5,6}:{(10,1),(12,1),(33,1),(41,1)}
        19:{4,5,7}:{(10,1),(33,1)}
        20:{3,4,5}:{(14,1),(32,1),(35,1),(36,1),(74,1)}
        21:{1,2,5,6,7}:{(12,1),(31,1),(37,1),(94,1),(95,1)}
        22:{1,2,4,5,7}:{(11,1),(37,1),(38,1),(65,1),(67,1),(68,1),(77,1),(94,1),(95,1)}
        23:{3,5,6}:{(11,1),(14,1),(32,1),(38,1),(41,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(33,1),(41,1),(71,1),(72,1),(78,1)}
        25:{3,5,7}:{(13,1),(14,1),(15,1),(41,1)}
        26:{1,3,5}:{(14,1),(16,1),(35,1),(44,1),(74,1),(109,1)}
        27:{2,3,5}:{(14,1),(17,1),(36,1),(44,1),(74,1),(109,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(42,1),(45,1),(67,1),(97,1),(100,1)}
        29:{2,3,4,7}:{(15,1),(17,1),(43,1),(45,1),(68,1),(97,1),(100,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(44,1),(45,1),(46,1),(78,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(47,1),(56,1),(81,1)}
        32:{3,4,6}:{(20,1),(23,1),(48,1),(49,1),(50,1),(85,1)}
        33:{4,6}:{(18,1),(19,1)}
        34:{3,4,5,7}:{(19,1),(20,1),(25,1),(48,1),(52,1),(53,1),(54,1),(81,1),(89,1),(110,1),(111,1)}
        35:{1,4,5}:{(20,1),(26,1),(49,1),(111,1)}
        36:{2,4,5}:{(20,1),(27,1),(50,1),(111,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(24,1),(47,1),(56,1),(82,1),(83,1),(91,1)}
        38:{3,5,7}:{(22,1),(23,1),(48,1),(56,1)}
        39:{1,3,5,6}:{(23,1),(26,1),(49,1),(57,1),(59,1),(60,1),(85,1),(86,1),(104,1)}
        40:{2,3,5,6}:{(23,1),(27,1),(50,1),(58,1),(59,1),(61,1),(85,1),(87,1),(104,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(28,1),(53,1),(60,1),(62,1),(89,1)}
        43:{2,3,5,7}:{(25,1),(27,1),(29,1),(54,1),(61,1),(62,1),(89,1)}
        44:{1,2,5}:{(26,1),(27,1),(30,1)}
        45:{1,2,4,7}:{(28,1),(29,1),(30,1),(62,1),(64,1)}
        46:{1,2,3,6}:{(30,1),(63,1),(64,1),(85,1)}
        47:{4,6,7}:{(31,1),(33,1),(65,1)}
        48:{3,4,7}:{(32,1),(38,1),(67,1),(68,1),(97,1)}
        49:{1,4,6}:{(32,1),(35,1),(39,1),(67,1),(108,1)}
        50:{2,4,6}:{(32,1),(36,1),(40,1),(68,1),(108,1)}
        51:{4,5,6}:{(33,1),(65,1),(70,1),(108,1)}
        52:{3,4,6}:{(33,1),(34,1),(41,1),(70,1),(71,1),(72,1),(99,1),(108,1)}
        53:{1,4,5,7}:{(34,1),(35,1),(42,1),(67,1),(71,1),(94,1)}
        54:{2,4,5,7}:{(34,1),(36,1),(43,1),(68,1),(72,1),(95,1)}
        55:{1,2,4,5}:{(35,1),(36,1),(44,1),(69,1),(74,1),(80,1)}
        56:{3,6,7}:{(37,1),(38,1),(41,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(67,1),(75,1),(77,1),(94,1),(97,1),(107,1)}
        58:{2,3,5,7}:{(38,1),(40,1),(68,1),(76,1),(77,1),(95,1),(97,1),(107,1)}
        59:{1,2,5,6}:{(39,1),(40,1),(44,1),(69,1),(77,1),(78,1)}
        60:{1,3,6}:{(41,1),(42,1),(71,1),(78,1),(99,1)}
        61:{2,3,6}:{(41,1),(43,1),(72,1),(78,1),(99,1)}
        62:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(78,1)}
        63:{1,2,3,5}:{(44,1),(46,1),(74,1),(80,1)}
        64:{1,2,3,7}:{(45,1),(46,1),(97,1)}
        65:{4,5,7}:{(47,1),(51,1),(81,1),(110,1)}
        66:{3,4,6,7}:{(47,1),(48,1),(52,1),(56,1),(81,1),(82,1),(83,1),(103,1),(110,1)}
        67:{1,4,7}:{(48,1),(49,1),(57,1),(110,1)}
        68:{2,4,7}:{(48,1),(50,1),(58,1),(110,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(55,1),(59,1),(84,1),(85,1)}
        70:{3,5,6}:{(51,1),(52,1),(81,1),(86,1),(87,1)}
        71:{1,4,6}:{(52,1),(53,1),(60,1),(86,1)}
        72:{2,4,6}:{(52,1),(54,1),(61,1),(87,1)}
        73:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(62,1),(84,1),(88,1),(89,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        74:{3,5}:{(55,1),(85,1),(90,1)}
        75:{1,3,6,7}:{(56,1),(57,1),(60,1),(82,1),(91,1),(103,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(61,1),(83,1),(91,1),(103,1)}
        77:{1,2,5,7}:{(57,1),(58,1),(59,1),(84,1),(91,1)}
        78:{1,2,6}:{(60,1),(61,1),(62,1)}
        79:{1,2,3,5,7}:{(62,1),(63,1),(64,1),(89,1),(92,1),(93,1),(106,1)}
        80:{1,2,4}:{(63,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(70,1),(94,1),(95,1)}
        82:{1,4,6,7}:{(66,1),(67,1),(71,1),(75,1),(94,1)}
        83:{2,4,6,7}:{(66,1),(68,1),(72,1),(76,1),(95,1)}
        84:{1,2,4,7}:{(67,1),(68,1),(69,1),(77,1),(97,1)}
        85:{3,6}:{(69,1),(74,1),(97,1)}
        86:{1,5,6}:{(70,1),(71,1),(94,1)}
        87:{2,5,6}:{(70,1),(72,1),(95,1)}
        88:{1,2,4,6}:{(71,1),(72,1),(73,1),(78,1),(98,1),(99,1),(108,1)}
        89:{3,5,7}:{(73,1),(74,1),(97,1),(99,1),(100,1),(109,1)}
        90:{3,4}:{(74,1),(80,1)}
        91:{1,2,6,7}:{(75,1),(76,1),(77,1),(78,1)}
        92:{1,2,3,6}:{(78,1),(79,1),(99,1),(101,1)}
        93:{1,2,4,7}:{(79,1),(80,1),(100,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(86,1)}
        95:{2,5,7}:{(81,1),(83,1),(87,1)}
        96:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(88,1),(91,1),(102,1),(103,1),(110,1)}
        97:{3,7}:{(84,1),(85,1)}
        98:{1,2,5,6}:{(86,1),(87,1),(88,1),(102,1),(104,1),(106,1)}
        99:{3,6}:{(88,1),(89,1)}
       100:{3,4,7}:{(89,1),(90,1),(93,1),(105,1),(110,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(98,1),(107,1)}
       103:{3,6,7}:{(96,1),(97,1),(99,1),(107,1)}
       104:{3,5,6}:{(98,1),(99,1),(107,1),(108,1),(109,1)}
       105:{3,4,6}:{(99,1),(100,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(104,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1201 :   0:{1,3,5,6,7}:{(2,1),(3,1),(13,1),(14,1),(36,1),(42,1),(80,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(13,1),(17,1),(40,1),(43,1),(77,1)}
         2:{1,2,5,6,7}:{(0,1),(1,1),(5,1),(28,1),(31,1),(58,1),(61,1),(64,1)}
         3:{1,4,6,7}:{(0,1),(6,1),(7,1),(56,1),(62,1),(100,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(9,1),(60,1),(63,1),(97,1)}
         5:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(12,1),(13,1),(16,1),(18,1),(44,1),(76,1),(79,1),(83,1)}
         6:{1,4,5,7}:{(3,1),(10,1),(14,1),(119,1)}
         7:{3,4,6,7}:{(3,1),(13,1),(14,1),(16,1),(35,1),(41,1),(118,1)}
         8:{2,4,5,7}:{(4,1),(11,1),(17,1),(116,1)}
         9:{3,4,6,7}:{(4,1),(13,1),(17,1),(18,1),(38,1),(41,1),(115,1)}
        10:{1,4,5,6}:{(6,1),(21,1),(56,1)}
        11:{2,4,5,6}:{(8,1),(22,1),(60,1)}
        12:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(20,1),(23,1),(28,1),(31,1),(62,1),(63,1),(64,1)}
        13:{3,6,7}:{(5,1),(23,1),(96,1),(99,1),(103,1)}
        14:{3,5,7}:{(6,1),(7,1),(21,1),(28,1),(132,1)}
        15:{1,3,4,6,7}:{(7,1),(24,1),(27,1),(29,1),(56,1),(62,1),(92,1),(96,1),(103,1),(105,1),(129,1)}
        16:{2,4,6,7}:{(7,1),(25,1),(28,1),(57,1),(63,1),(131,1)}
        17:{3,5,7}:{(8,1),(9,1),(22,1),(31,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(24,1),(31,1),(59,1),(62,1),(129,1)}
        19:{2,3,4,6,7}:{(9,1),(25,1),(32,1),(33,1),(60,1),(63,1),(93,1),(99,1),(103,1),(107,1),(131,1)}
        20:{1,2,4,5,6}:{(10,1),(11,1),(12,1),(34,1),(37,1),(39,1),(72,1),(73,1),(74,1),(76,1),(79,1),(110,1),(116,1),(119,1),(136,1),(137,1)}
        21:{3,5,6}:{(10,1),(14,1),(35,1),(37,1)}
        22:{3,5,6}:{(11,1),(17,1),(38,1),(39,1)}
        23:{3,5,7}:{(12,1),(13,1),(34,1),(41,1)}
        24:{1,3,6,7}:{(13,1),(18,1),(42,1),(44,1),(78,1),(114,1)}
        25:{2,3,6,7}:{(13,1),(16,1),(43,1),(44,1),(75,1),(117,1)}
        26:{3,4,5,7}:{(14,1),(35,1),(41,1),(45,1),(46,1),(71,1),(85,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(36,1),(45,1),(47,1),(85,1),(108,1),(136,1)}
        28:{2,5,7}:{(14,1),(16,1),(37,1),(137,1)}
        29:{1,2,4,6,7}:{(15,1),(16,1),(44,1),(47,1),(48,1),(76,1),(83,1),(86,1),(111,1)}
        30:{3,4,5,7}:{(17,1),(38,1),(41,1),(49,1),(50,1),(71,1),(88,1)}
        31:{1,5,7}:{(17,1),(18,1),(39,1),(136,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(40,1),(50,1),(51,1),(88,1),(109,1),(137,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(44,1),(51,1),(52,1),(79,1),(83,1),(89,1),(112,1)}
        34:{3,5,6}:{(20,1),(23,1),(53,1),(96,1),(99,1),(126,1),(130,1),(132,1)}
        35:{3,4,6}:{(21,1),(26,1),(56,1),(57,1),(96,1)}
        36:{1,3,5,6}:{(21,1),(27,1),(56,1),(58,1),(96,1)}
        37:{2,5,6}:{(21,1),(28,1),(57,1)}
        38:{3,4,6}:{(22,1),(30,1),(59,1),(60,1),(99,1)}
        39:{1,5,6}:{(22,1),(31,1),(59,1)}
        40:{2,3,5,6}:{(22,1),(32,1),(60,1),(61,1),(99,1)}
        41:{3,4,7}:{(23,1),(53,1),(62,1),(63,1),(103,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(31,1),(54,1),(62,1),(64,1),(103,1)}
        43:{2,3,5,7}:{(23,1),(25,1),(28,1),(55,1),(63,1),(64,1),(103,1)}
        44:{1,2,6,7}:{(24,1),(25,1),(64,1),(95,1),(98,1)}
        45:{1,4,5,7}:{(26,1),(27,1),(56,1),(62,1),(90,1)}
        46:{2,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(65,1),(91,1)}
        47:{1,2,5,7}:{(27,1),(28,1),(29,1),(58,1),(67,1),(124,1)}
        48:{2,3,6,7}:{(29,1),(67,1),(96,1),(103,1),(127,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(59,1),(62,1),(68,1),(90,1)}
        50:{2,4,5,7}:{(30,1),(32,1),(60,1),(63,1),(91,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(61,1),(70,1),(125,1)}
        52:{1,3,6,7}:{(33,1),(70,1),(99,1),(103,1),(128,1)}
        53:{3,4,6}:{(34,1),(41,1),(71,1),(72,1),(73,1),(113,1),(135,1)}
        54:{1,3,5,6}:{(34,1),(39,1),(42,1),(72,1),(74,1),(78,1),(108,1),(113,1),(114,1),(134,1),(136,1)}
        55:{2,3,5,6}:{(34,1),(37,1),(43,1),(73,1),(74,1),(75,1),(109,1),(113,1),(117,1),(133,1),(137,1)}
        56:{1,4,6}:{(35,1),(36,1),(45,1)}
        57:{2,4,6}:{(35,1),(37,1),(46,1),(75,1)}
        58:{1,2,5,6}:{(36,1),(37,1),(47,1),(76,1),(77,1),(136,1)}
        59:{1,4,6}:{(38,1),(39,1),(49,1),(78,1)}
        60:{2,4,6}:{(38,1),(40,1),(50,1)}
        61:{1,2,5,6}:{(39,1),(40,1),(51,1),(79,1),(80,1),(137,1)}
        62:{1,4,7}:{(41,1),(42,1),(72,1)}
        63:{2,4,7}:{(41,1),(43,1),(73,1)}
        64:{1,2,5,7}:{(42,1),(43,1),(44,1),(74,1),(83,1)}
        65:{2,3,5,7}:{(46,1),(75,1),(82,1),(84,1),(85,1),(109,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(76,1),(83,1),(84,1),(85,1),(86,1),(110,1),(116,1),(122,1),(136,1)}
        67:{2,3,5,7}:{(47,1),(48,1),(77,1),(85,1),(86,1),(133,1)}
        68:{1,3,5,7}:{(49,1),(78,1),(81,1),(87,1),(88,1),(108,1)}
        69:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(79,1),(83,1),(87,1),(88,1),(89,1),(110,1),(119,1),(123,1),(137,1)}
        70:{1,3,5,7}:{(51,1),(52,1),(80,1),(88,1),(89,1),(134,1)}
        71:{3,4,5}:{(53,1),(90,1),(91,1),(126,1),(130,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(62,1),(90,1),(139,1)}
        73:{2,4,6}:{(53,1),(55,1),(63,1),(91,1),(138,1)}
        74:{1,2,5,6}:{(54,1),(55,1),(64,1),(94,1),(95,1),(98,1),(124,1),(125,1)}
        75:{2,3,6}:{(57,1),(65,1),(95,1),(96,1)}
        76:{1,2,4,6}:{(56,1),(57,1),(58,1),(66,1),(95,1),(96,1),(97,1),(129,1)}
        77:{2,3,5,6}:{(58,1),(67,1),(96,1),(97,1),(130,1)}
        78:{1,3,6}:{(59,1),(68,1),(98,1),(99,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(69,1),(98,1),(99,1),(100,1),(131,1)}
        80:{1,3,5,6}:{(61,1),(70,1),(99,1),(100,1),(132,1)}
        81:{1,3,4,7}:{(62,1),(68,1),(92,1),(101,1),(103,1),(107,1)}
        82:{2,3,4,7}:{(63,1),(65,1),(93,1),(102,1),(103,1),(105,1)}
        83:{1,2,4,7}:{(62,1),(63,1),(64,1),(94,1),(103,1)}
        84:{1,2,5,7}:{(65,1),(95,1),(102,1),(104,1),(125,1)}
        85:{3,5,7}:{(66,1),(96,1),(103,1),(105,1),(126,1),(130,1)}
        86:{2,4,7}:{(67,1),(97,1),(105,1),(138,1)}
        87:{1,2,5,7}:{(68,1),(98,1),(101,1),(106,1),(124,1)}
        88:{3,5,7}:{(69,1),(99,1),(103,1),(107,1),(126,1),(132,1)}
        89:{1,4,7}:{(70,1),(100,1),(107,1),(139,1)}
        90:{1,4,5}:{(71,1),(72,1),(108,1),(136,1)}
        91:{2,4,5}:{(71,1),(73,1),(109,1),(137,1)}
        92:{1,3,4,6}:{(72,1),(78,1),(81,1),(108,1),(111,1),(113,1),(118,1),(135,1)}
        93:{2,3,4,6}:{(73,1),(75,1),(82,1),(109,1),(112,1),(113,1),(115,1),(135,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(83,1),(110,1),(113,1)}
        95:{1,2,6}:{(75,1),(84,1),(114,1)}
        96:{3,6}:{(76,1),(85,1)}
        97:{2,4,6}:{(77,1),(86,1),(115,1),(116,1)}
        98:{1,2,6}:{(78,1),(87,1),(117,1)}
        99:{3,6}:{(79,1),(88,1)}
       100:{1,4,6}:{(80,1),(89,1),(118,1),(119,1)}
       101:{1,2,4,7}:{(81,1),(87,1),(111,1),(120,1),(123,1)}
       102:{1,2,4,7}:{(82,1),(84,1),(112,1),(121,1),(122,1)}
       103:{3,7}:{(83,1),(113,1)}
       104:{1,3,5,7}:{(84,1),(85,1),(114,1),(121,1),(122,1),(134,1),(136,1)}
       105:{3,4,7}:{(85,1),(86,1),(115,1),(122,1),(135,1)}
       106:{2,3,5,7}:{(87,1),(88,1),(117,1),(120,1),(123,1),(133,1),(137,1)}
       107:{3,4,7}:{(88,1),(89,1),(118,1),(123,1),(135,1)}
       108:{1,3,5}:{(90,1),(92,1),(124,1),(126,1),(132,1)}
       109:{2,3,5}:{(91,1),(93,1),(125,1),(126,1),(130,1)}
       110:{1,2,4,5}:{(90,1),(91,1),(94,1),(124,1),(125,1),(126,1),(138,1),(139,1)}
       111:{1,2,4,6}:{(92,1),(98,1),(101,1),(124,1),(127,1),(131,1),(138,1)}
       112:{1,2,4,6}:{(93,1),(95,1),(102,1),(125,1),(128,1),(129,1),(139,1)}
       113:{3,6}:{(94,1),(103,1),(126,1)}
       114:{1,3,6}:{(95,1),(96,1),(104,1),(129,1)}
       115:{3,4,6}:{(96,1),(97,1),(105,1),(129,1),(130,1)}
       116:{2,4,5}:{(97,1),(130,1)}
       117:{2,3,6}:{(98,1),(99,1),(106,1),(131,1)}
       118:{3,4,6}:{(99,1),(100,1),(107,1),(131,1),(132,1)}
       119:{1,4,5}:{(100,1),(132,1)}
       120:{2,3,7}:{(101,1),(103,1),(127,1)}
       121:{1,3,7}:{(102,1),(103,1),(128,1)}
       122:{1,4,7}:{(104,1),(105,1),(129,1),(139,1)}
       123:{2,4,7}:{(106,1),(107,1),(131,1),(138,1)}
       124:{1,2,5}:{(108,1),(111,1),(133,1),(137,1)}
       125:{1,2,5}:{(109,1),(112,1),(134,1),(136,1)}
       126:{3,5}:{(110,1),(113,1),(135,1)}
       127:{2,3,6}:{(111,1),(113,1),(120,1),(133,1)}
       128:{1,3,6}:{(112,1),(113,1),(121,1),(134,1)}
       129:{1,4,6}:{(114,1),(115,1),(122,1),(136,1)}
       130:{3,5}:{(115,1),(116,1),(136,1)}
       131:{2,4,6}:{(117,1),(118,1),(123,1),(137,1)}
       132:{3,5}:{(118,1),(119,1),(137,1)}
       133:{2,3,5}:{(124,1),(126,1),(127,1),(138,1)}
       134:{1,3,5}:{(125,1),(126,1),(128,1),(139,1)}
       135:{3,4}:{(126,1),(138,1),(139,1)}
       136:{1,5}:{(129,1),(130,1)}
       137:{2,5}:{(131,1),(132,1)}
       138:{2,4}:{(133,1),(135,1)}
       139:{1,4}:{(134,1),(135,1)}

1202 :   0:{1,2,3,5,6}:{(1,1),(2,1),(7,1),(10,1),(35,1),(37,1),(39,1),(42,1),(45,1),(78,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(50,1),(52,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(18,1),(24,1),(28,1),(57,1),(58,1),(60,1)}
         3:{3,4,6}:{(1,1),(10,1),(11,1),(42,1)}
         4:{1,2,4,5}:{(1,1),(10,1),(31,1),(32,1),(35,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(71,1),(73,1)}
         6:{1,2,3,6,7}:{(2,1),(14,1),(42,1),(78,1),(79,1),(80,1)}
         7:{1,2,3,6}:{(15,1),(17,1),(18,1),(83,1)}
         8:{2,3,4,6}:{(3,1),(17,1),(19,1),(20,1),(46,1),(50,1),(59,1),(83,1),(85,1)}
         9:{1,3,4,6}:{(3,1),(17,1),(21,1),(22,1),(46,1),(52,1),(61,1),(83,1),(85,1)}
        10:{3,5}:{(3,1),(4,1)}
        11:{3,4,7}:{(3,1),(5,1),(24,1)}
        12:{1,2,4,5,6}:{(4,1),(23,1),(26,1),(27,1),(50,1),(52,1),(56,1),(90,1),(92,1),(94,1)}
        13:{1,2,4,5,7}:{(4,1),(5,1),(24,1),(27,1),(28,1),(51,1),(53,1),(57,1),(64,1)}
        14:{1,2,4,6,7}:{(5,1),(6,1),(25,1),(27,1),(28,1),(89,1),(91,1)}
        15:{1,2,3,5}:{(7,1),(29,1),(35,1),(66,1)}
        16:{3,4,5}:{(10,1),(31,1),(32,1),(33,1),(66,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(9,1),(29,1),(35,1),(36,1),(78,1)}
        18:{1,2,3,7}:{(7,1),(36,1),(97,1)}
        19:{2,3,5}:{(8,1),(10,1),(31,1),(35,1),(66,1),(99,1)}
        20:{2,3,4,7}:{(8,1),(11,1),(36,1),(38,1),(67,1),(71,1),(97,1)}
        21:{1,3,5}:{(9,1),(10,1),(32,1),(35,1),(66,1),(99,1)}
        22:{1,3,4,7}:{(9,1),(11,1),(36,1),(40,1),(67,1),(73,1),(97,1)}
        23:{3,5,6}:{(10,1),(12,1),(33,1),(41,1),(42,1)}
        24:{3,5,7}:{(10,1),(11,1),(13,1),(42,1)}
        25:{3,4,6,7}:{(11,1),(14,1),(42,1),(43,1),(82,1)}
        26:{1,2,4,5,7}:{(12,1),(41,1),(44,1),(71,1),(73,1),(77,1),(102,1),(103,1),(104,1)}
        27:{1,2,4,6}:{(13,1),(42,1),(45,1),(72,1),(74,1),(78,1),(82,1)}
        28:{1,2,5,7}:{(14,1),(43,1),(45,1),(102,1),(103,1)}
        29:{1,2,4}:{(15,1),(46,1)}
        30:{1,2,3,5,7}:{(15,1),(18,1),(48,1),(49,1),(57,1),(84,1),(88,1)}
        31:{2,4,5}:{(16,1),(19,1),(50,1),(107,1)}
        32:{1,4,5}:{(16,1),(21,1),(52,1),(107,1)}
        33:{3,4,6}:{(16,1),(23,1),(50,1),(52,1),(54,1),(83,1)}
        34:{3,4,5,7}:{(16,1),(24,1),(51,1),(53,1),(54,1),(55,1),(64,1),(84,1),(93,1),(107,1),(111,1)}
        35:{1,2,5}:{(17,1),(19,1),(21,1)}
        36:{1,2,4,7}:{(17,1),(18,1),(20,1),(22,1),(57,1)}
        37:{2,3,5,6}:{(19,1),(23,1),(50,1),(56,1),(58,1),(59,1),(83,1),(90,1),(106,1)}
        38:{2,3,5,7}:{(19,1),(20,1),(24,1),(51,1),(57,1),(59,1),(84,1)}
        39:{1,3,5,6}:{(21,1),(23,1),(52,1),(56,1),(60,1),(61,1),(83,1),(92,1),(106,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(24,1),(53,1),(57,1),(61,1),(84,1)}
        41:{3,5,7}:{(23,1),(26,1),(54,1),(62,1)}
        42:{3,6}:{(24,1),(27,1)}
        43:{3,5,7}:{(25,1),(28,1),(63,1),(64,1)}
        44:{1,2,4,6,7}:{(26,1),(27,1),(62,1),(65,1),(89,1),(91,1),(95,1),(96,1)}
        45:{1,2,5,6}:{(27,1),(28,1),(63,1),(90,1),(92,1)}
        46:{3,4}:{(29,1),(66,1)}
        47:{1,2,4,5}:{(29,1),(31,1),(32,1),(35,1),(66,1),(68,1)}
        48:{1,2,4,7}:{(29,1),(30,1),(67,1),(70,1)}
        49:{1,2,3,6}:{(30,1),(70,1),(78,1),(98,1)}
        50:{2,4,6}:{(31,1),(33,1),(37,1),(71,1),(110,1)}
        51:{2,4,5,7}:{(31,1),(34,1),(38,1),(71,1),(72,1),(102,1)}
        52:{1,4,6}:{(32,1),(33,1),(39,1),(73,1),(110,1)}
        53:{1,4,5,7}:{(32,1),(34,1),(40,1),(73,1),(74,1),(103,1)}
        54:{3,4,7}:{(33,1),(41,1),(71,1),(73,1),(97,1)}
        55:{3,4,6}:{(34,1),(42,1),(72,1),(74,1),(76,1),(82,1),(98,1),(110,1)}
        56:{1,2,5,6}:{(35,1),(37,1),(39,1),(68,1),(77,1),(78,1)}
        57:{1,2,5,7}:{(35,1),(36,1),(38,1),(40,1),(78,1)}
        58:{2,3,5,7}:{(37,1),(41,1),(71,1),(77,1),(79,1),(97,1),(102,1),(109,1)}
        59:{2,3,6}:{(38,1),(42,1),(72,1),(78,1),(98,1)}
        60:{1,3,5,7}:{(39,1),(41,1),(73,1),(77,1),(80,1),(97,1),(103,1),(109,1)}
        61:{1,3,6}:{(40,1),(42,1),(74,1),(78,1),(98,1)}
        62:{3,6,7}:{(41,1),(42,1),(44,1)}
        63:{3,5,6}:{(42,1),(43,1),(45,1),(82,1)}
        64:{4,5,7}:{(43,1),(82,1)}
        65:{1,2,5,6,7}:{(44,1),(45,1),(81,1),(102,1),(103,1)}
        66:{3,5}:{(46,1),(47,1),(83,1)}
        67:{3,4,7}:{(46,1),(48,1),(84,1),(85,1),(111,1)}
        68:{1,2,4,6}:{(47,1),(50,1),(52,1),(56,1),(83,1),(86,1)}
        69:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(53,1),(57,1),(84,1),(86,1),(87,1),(88,1),(107,1),(108,1),(111,1)}
        70:{1,2,4,6}:{(48,1),(49,1),(85,1),(88,1)}
        71:{2,4,7}:{(50,1),(54,1),(58,1),(111,1)}
        72:{2,4,6}:{(51,1),(55,1),(59,1),(90,1)}
        73:{1,4,7}:{(52,1),(54,1),(60,1),(111,1)}
        74:{1,4,6}:{(53,1),(55,1),(61,1),(92,1)}
        75:{3,4,6,7}:{(54,1),(55,1),(62,1),(89,1),(91,1),(93,1),(96,1),(105,1),(111,1)}
        76:{3,5,6}:{(55,1),(90,1),(92,1),(93,1),(94,1)}
        77:{1,2,5,7}:{(56,1),(58,1),(60,1),(86,1),(95,1)}
        78:{1,2,6}:{(57,1),(59,1),(61,1)}
        79:{2,3,6,7}:{(58,1),(59,1),(62,1),(89,1),(95,1),(105,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(62,1),(91,1),(95,1),(105,1)}
        81:{3,5,6,7}:{(62,1),(63,1),(65,1),(93,1),(96,1)}
        82:{4,6}:{(63,1),(64,1)}
        83:{3,6}:{(66,1),(68,1),(97,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(97,1),(98,1),(99,1)}
        85:{3,4,6}:{(67,1),(70,1),(98,1),(99,1),(110,1)}
        86:{1,2,4,7}:{(68,1),(71,1),(73,1),(77,1),(97,1)}
        87:{1,2,4,6}:{(69,1),(72,1),(74,1),(78,1),(98,1),(101,1),(110,1)}
        88:{1,2,5}:{(70,1),(99,1)}
        89:{2,4,6,7}:{(71,1),(72,1),(75,1),(79,1),(102,1)}
        90:{2,5,6}:{(72,1),(76,1),(102,1)}
        91:{1,4,6,7}:{(73,1),(74,1),(75,1),(80,1),(103,1)}
        92:{1,5,6}:{(74,1),(76,1),(103,1)}
        93:{3,5,7}:{(75,1),(76,1),(102,1),(103,1),(104,1)}
        94:{4,5,6}:{(76,1),(82,1),(104,1),(110,1)}
        95:{1,2,6,7}:{(77,1),(78,1),(79,1),(80,1)}
        96:{4,6,7}:{(81,1),(82,1),(104,1)}
        97:{3,7}:{(83,1),(86,1)}
        98:{3,6}:{(84,1),(87,1)}
        99:{3,5}:{(85,1),(88,1),(107,1)}
       100:{1,2,4,6,7}:{(86,1),(87,1),(89,1),(91,1),(95,1),(105,1),(108,1),(111,1)}
       101:{1,2,5,6}:{(87,1),(88,1),(90,1),(92,1),(106,1),(108,1)}
       102:{2,5,7}:{(89,1),(90,1),(93,1)}
       103:{1,5,7}:{(91,1),(92,1),(93,1)}
       104:{4,5,7}:{(93,1),(94,1),(96,1),(111,1)}
       105:{3,6,7}:{(97,1),(98,1),(100,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(101,1),(109,1),(110,1)}
       107:{4,5}:{(99,1),(110,1)}
       108:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(109,1)}
       109:{3,5,7}:{(105,1),(106,1),(108,1),(111,1)}
       110:{4,6}:{(106,1),(107,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1203 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(20,1),(51,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(32,1),(66,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(46,1),(81,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(18,1),(23,1),(45,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(19,1),(23,1),(44,1),(83,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(61,1),(101,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(60,1),(100,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(30,1),(31,1),(103,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(41,1),(81,1),(150,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(21,1),(23,1),(37,1),(46,1)}
        13:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(23,1),(38,1),(46,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(23,1),(122,1)}
        15:{1,2,3,5,6,7}:{(8,1),(23,1),(24,1),(44,1),(45,1),(47,1),(50,1),(70,1),(82,1),(83,1),(84,1),(125,1),(157,1),(169,1),(171,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(25,1),(101,1),(158,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(26,1),(100,1),(161,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(25,1),(30,1),(32,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(26,1),(31,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(32,1),(60,1),(61,1)}
        21:{1,2,4,6,7}:{(12,1),(30,1),(33,1),(52,1),(60,1)}
        22:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(53,1),(61,1)}
        23:{3,6,7}:{(14,1),(32,1),(142,1)}
        24:{1,2,4,6,7}:{(15,1),(35,1),(36,1),(60,1),(61,1),(90,1),(100,1),(101,1),(173,1),(174,1)}
        25:{1,3,5,6}:{(16,1),(18,1),(37,1),(39,1),(41,1),(144,1)}
        26:{2,3,5,6}:{(17,1),(19,1),(38,1),(40,1),(41,1),(147,1)}
        27:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(39,1),(40,1),(41,1),(71,1),(72,1),(111,1),(122,1)}
        28:{1,3,4,5,7}:{(18,1),(37,1),(42,1),(46,1),(73,1),(80,1),(115,1),(121,1),(144,1)}
        29:{2,3,4,5,7}:{(19,1),(38,1),(43,1),(46,1),(73,1),(79,1),(118,1),(121,1),(147,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(39,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(40,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(41,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(68,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(69,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(50,1),(81,1),(110,1),(157,1),(172,1)}
        36:{1,2,4,5,7}:{(24,1),(50,1),(51,1),(79,1),(80,1),(82,1),(111,1)}
        37:{1,3,4,6}:{(25,1),(28,1),(52,1),(56,1),(101,1),(142,1)}
        38:{2,3,4,6}:{(26,1),(29,1),(53,1),(56,1),(100,1),(142,1)}
        39:{1,2,5,6}:{(25,1),(30,1),(52,1),(54,1),(127,1)}
        40:{1,2,5,6}:{(26,1),(31,1),(53,1),(55,1),(130,1)}
        41:{3,5,6}:{(27,1),(32,1),(56,1),(132,1),(142,1)}
        42:{1,2,4,5,7}:{(28,1),(30,1),(52,1),(57,1),(60,1),(91,1),(94,1),(127,1)}
        43:{1,2,4,5,7}:{(29,1),(31,1),(53,1),(58,1),(61,1),(92,1),(96,1),(130,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(54,1),(60,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(55,1),(61,1)}
        46:{3,4,7}:{(32,1),(56,1),(60,1),(61,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(59,1),(63,1),(86,1),(88,1),(142,1),(166,1),(167,1)}
        48:{2,3,4,6,7}:{(33,1),(35,1),(60,1),(63,1),(64,1),(87,1),(98,1),(100,1),(129,1),(142,1),(167,1),(174,1)}
        49:{1,3,4,6,7}:{(34,1),(35,1),(61,1),(63,1),(65,1),(89,1),(98,1),(101,1),(126,1),(142,1),(166,1),(173,1)}
        50:{3,5,7}:{(35,1),(36,1),(66,1),(132,1)}
        51:{1,2,4,5,6}:{(36,1),(66,1),(100,1),(101,1),(103,1)}
        52:{1,2,4,6}:{(37,1),(39,1),(42,1),(68,1),(71,1)}
        53:{1,2,4,6}:{(38,1),(40,1),(43,1),(69,1),(72,1)}
        54:{2,3,5,6}:{(39,1),(41,1),(44,1),(68,1),(71,1),(107,1)}
        55:{1,3,5,6}:{(40,1),(41,1),(45,1),(69,1),(72,1),(109,1)}
        56:{3,4,6}:{(41,1),(46,1),(71,1),(72,1),(73,1)}
        57:{2,3,5,7}:{(42,1),(68,1),(75,1),(107,1),(121,1)}
        58:{1,3,5,7}:{(43,1),(69,1),(77,1),(109,1),(121,1)}
        59:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(70,1),(78,1),(82,1),(121,1),(169,1),(171,1)}
        60:{2,4,7}:{(44,1),(46,1),(71,1)}
        61:{1,4,7}:{(45,1),(46,1),(72,1)}
        62:{3,4,5,7}:{(46,1),(50,1),(73,1),(79,1),(80,1),(81,1),(121,1),(150,1),(172,1)}
        63:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(78,1),(82,1),(106,1),(108,1),(122,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(79,1),(82,1),(83,1),(107,1),(121,1),(147,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(80,1),(82,1),(84,1),(109,1),(121,1),(144,1)}
        66:{3,5,6}:{(50,1),(51,1),(81,1)}
        67:{1,2,4,5,6,7}:{(51,1),(85,1),(123,1),(124,1),(125,1),(152,1)}
        68:{2,3,6}:{(52,1),(57,1),(142,1)}
        69:{1,3,6}:{(53,1),(58,1),(142,1)}
        70:{1,2,3,5,6}:{(54,1),(55,1),(59,1),(86,1),(88,1),(90,1),(103,1),(127,1),(130,1),(132,1),(142,1),(159,1),(162,1)}
        71:{2,4,6}:{(54,1),(56,1),(60,1),(91,1)}
        72:{1,4,6}:{(55,1),(56,1),(61,1),(92,1)}
        73:{3,4,5}:{(56,1),(91,1),(92,1),(132,1)}
        74:{1,2,3,5,7}:{(57,1),(86,1),(94,1),(127,1),(136,1)}
        75:{2,3,4,7}:{(57,1),(60,1),(87,1),(94,1),(98,1)}
        76:{1,2,3,5,7}:{(58,1),(88,1),(96,1),(130,1),(139,1)}
        77:{1,3,4,7}:{(58,1),(61,1),(89,1),(96,1),(98,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(61,1),(90,1),(98,1),(173,1),(174,1)}
        79:{2,4,5,7}:{(60,1),(62,1),(64,1),(91,1),(100,1),(161,1),(174,1)}
        80:{1,4,5,7}:{(61,1),(62,1),(65,1),(92,1),(101,1),(158,1),(173,1)}
        81:{3,4,6}:{(62,1),(66,1),(100,1),(101,1),(142,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(65,1),(103,1),(127,1),(130,1)}
        83:{2,3,5,6}:{(64,1),(66,1),(100,1),(103,1),(142,1)}
        84:{1,3,5,6}:{(65,1),(66,1),(101,1),(103,1),(142,1)}
        85:{3,5,6,7}:{(66,1),(67,1),(102,1),(165,1)}
        86:{1,2,3,6}:{(68,1),(74,1),(106,1),(153,1)}
        87:{2,3,4,6}:{(68,1),(71,1),(75,1),(106,1),(107,1),(110,1)}
        88:{1,2,3,6}:{(69,1),(76,1),(108,1),(155,1)}
        89:{1,3,4,6}:{(69,1),(72,1),(77,1),(108,1),(109,1),(110,1)}
        90:{1,2,4,6}:{(70,1),(71,1),(72,1),(78,1),(110,1),(111,1),(168,1),(170,1)}
        91:{2,4,5}:{(71,1),(73,1),(107,1)}
        92:{1,4,5}:{(72,1),(73,1),(109,1)}
        93:{3,4,5,6}:{(73,1),(81,1),(112,1),(113,1),(114,1),(151,1)}
        94:{1,2,4,7}:{(74,1),(75,1),(106,1),(115,1)}
        95:{2,3,4,5,7}:{(75,1),(79,1),(107,1),(116,1),(117,1),(121,1),(146,1),(150,1),(172,1)}
        96:{1,2,4,7}:{(76,1),(77,1),(108,1),(118,1)}
        97:{1,3,4,5,7}:{(77,1),(80,1),(109,1),(119,1),(120,1),(121,1),(149,1),(150,1),(172,1)}
        98:{3,4,7}:{(78,1),(110,1),(121,1)}
        99:{1,2,4,5,7}:{(78,1),(79,1),(80,1),(82,1),(111,1),(121,1),(122,1)}
       100:{2,4,6}:{(79,1),(81,1),(83,1)}
       101:{1,4,6}:{(80,1),(81,1),(84,1)}
       102:{3,4,6,7}:{(81,1),(85,1),(114,1),(123,1),(124,1),(157,1),(172,1)}
       103:{1,2,5,6}:{(82,1),(83,1),(84,1),(122,1)}
       104:{2,3,5,6,7}:{(83,1),(85,1),(123,1),(125,1),(146,1),(157,1),(171,1)}
       105:{1,3,5,6,7}:{(84,1),(85,1),(124,1),(125,1),(149,1),(157,1),(169,1)}
       106:{1,2,4,6}:{(86,1),(87,1),(94,1),(126,1),(127,1)}
       107:{2,3,5}:{(87,1),(91,1),(127,1),(132,1)}
       108:{1,2,4,6}:{(88,1),(89,1),(96,1),(129,1),(130,1)}
       109:{1,3,5}:{(89,1),(92,1),(130,1),(132,1)}
       110:{3,4,6}:{(90,1),(98,1),(132,1),(142,1)}
       111:{1,2,4,5}:{(90,1),(91,1),(92,1),(127,1),(130,1),(132,1),(158,1),(161,1)}
       112:{2,4,5,6}:{(91,1),(93,1),(100,1),(128,1),(134,1)}
       113:{1,4,5,6}:{(92,1),(93,1),(101,1),(131,1),(135,1)}
       114:{3,4,5,7}:{(93,1),(102,1),(134,1),(135,1),(165,1)}
       115:{1,3,4,7}:{(94,1),(98,1),(126,1),(136,1),(173,1)}
       116:{1,2,4,5,7}:{(94,1),(95,1),(127,1),(136,1),(137,1),(158,1),(160,1),(173,1)}
       117:{2,3,4,6}:{(95,1),(100,1),(128,1),(137,1),(142,1),(164,1)}
       118:{2,3,4,7}:{(96,1),(98,1),(129,1),(139,1),(174,1)}
       119:{1,2,4,5,7}:{(96,1),(97,1),(130,1),(139,1),(140,1),(161,1),(163,1),(174,1)}
       120:{1,3,4,6}:{(97,1),(101,1),(131,1),(140,1),(142,1),(164,1)}
       121:{3,5,7}:{(98,1),(99,1),(132,1),(142,1)}
       122:{1,2,4,6}:{(99,1),(100,1),(101,1),(103,1),(142,1)}
       123:{2,4,6,7}:{(100,1),(102,1),(104,1),(134,1),(174,1)}
       124:{1,4,6,7}:{(101,1),(102,1),(105,1),(135,1),(173,1)}
       125:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(143,1),(160,1),(163,1)}
       126:{1,3,4,6}:{(106,1),(110,1),(115,1),(144,1),(153,1),(168,1)}
       127:{1,2,5}:{(106,1),(107,1),(144,1)}
       128:{2,3,5,6}:{(107,1),(112,1),(117,1),(145,1),(146,1),(151,1)}
       129:{2,3,4,6}:{(108,1),(110,1),(118,1),(147,1),(155,1),(170,1)}
       130:{1,2,5}:{(108,1),(109,1),(147,1)}
       131:{1,3,5,6}:{(109,1),(113,1),(120,1),(148,1),(149,1),(151,1)}
       132:{3,5}:{(110,1),(111,1)}
       133:{1,2,4,5,6}:{(111,1),(112,1),(113,1),(122,1),(145,1),(148,1),(151,1),(152,1),(168,1),(170,1)}
       134:{2,4,5,7}:{(112,1),(114,1),(123,1),(146,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(124,1),(149,1)}
       136:{1,3,5,7}:{(115,1),(116,1),(121,1),(144,1),(153,1)}
       137:{1,2,4,6}:{(116,1),(117,1),(145,1),(153,1),(168,1)}
       138:{2,3,4,6,7}:{(117,1),(123,1),(146,1),(154,1),(157,1),(172,1)}
       139:{2,3,5,7}:{(118,1),(119,1),(121,1),(147,1),(155,1)}
       140:{1,2,4,6}:{(119,1),(120,1),(148,1),(155,1),(170,1)}
       141:{1,3,4,6,7}:{(120,1),(124,1),(149,1),(156,1),(157,1),(172,1)}
       142:{3,6}:{(121,1),(122,1)}
       143:{1,2,4,6,7}:{(122,1),(123,1),(124,1),(125,1),(152,1),(157,1)}
       144:{1,3,5}:{(126,1),(127,1),(132,1),(158,1)}
       145:{1,2,5,6}:{(127,1),(128,1),(137,1),(159,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(134,1),(138,1),(160,1),(165,1)}
       147:{2,3,5}:{(129,1),(130,1),(132,1),(161,1)}
       148:{1,2,5,6}:{(130,1),(131,1),(140,1),(162,1),(163,1)}
       149:{1,3,5,7}:{(131,1),(135,1),(141,1),(163,1),(165,1)}
       150:{3,4,5}:{(132,1),(158,1),(161,1),(164,1)}
       151:{3,5,6}:{(132,1),(133,1),(142,1),(164,1),(165,1)}
       152:{1,2,4,5,7}:{(133,1),(134,1),(135,1),(143,1),(160,1),(163,1),(165,1),(173,1),(174,1)}
       153:{1,3,6}:{(136,1),(137,1),(142,1)}
       154:{1,2,4,6,7}:{(137,1),(138,1),(160,1),(166,1),(173,1)}
       155:{2,3,6}:{(139,1),(140,1),(142,1)}
       156:{1,2,4,6,7}:{(140,1),(141,1),(163,1),(167,1),(174,1)}
       157:{3,6,7}:{(142,1),(143,1),(165,1)}
       158:{1,4,5}:{(144,1),(150,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(151,1),(153,1),(168,1),(169,1)}
       160:{1,2,5,7}:{(145,1),(146,1),(154,1),(169,1)}
       161:{2,4,5}:{(147,1),(150,1),(170,1)}
       162:{2,3,5,6}:{(147,1),(148,1),(151,1),(155,1),(170,1),(171,1)}
       163:{1,2,5,7}:{(148,1),(149,1),(156,1),(171,1)}
       164:{3,4,6}:{(150,1),(151,1),(168,1),(170,1),(172,1)}
       165:{3,5,7}:{(151,1),(152,1),(157,1),(172,1)}
       166:{1,3,6,7}:{(153,1),(154,1),(157,1),(169,1)}
       167:{2,3,6,7}:{(155,1),(156,1),(157,1),(171,1)}
       168:{1,4,6}:{(158,1),(159,1),(164,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(165,1),(166,1),(173,1)}
       170:{2,4,6}:{(161,1),(162,1),(164,1),(174,1)}
       171:{2,3,5,7}:{(162,1),(163,1),(165,1),(167,1),(174,1)}
       172:{3,4,7}:{(164,1),(165,1),(173,1),(174,1)}
       173:{1,4,7}:{(168,1),(169,1),(172,1)}
       174:{2,4,7}:{(170,1),(171,1),(172,1)}

1204 :   0:{1,2,3,5,7}:{(2,1),(4,1),(6,1),(7,1),(27,1),(29,1),(33,1),(35,1),(39,1),(40,1)}
         1:{3,4,5,7}:{(8,1),(9,1),(10,1),(39,1),(47,1),(82,1),(92,1),(96,1),(154,1),(166,1),(169,1)}
         2:{1,2,3,7}:{(11,1),(12,1),(124,1),(182,1),(219,1)}
         3:{2,3,4,7}:{(12,1),(13,1),(14,1),(19,1),(119,1),(125,1),(182,1)}
         4:{1,2,3,7}:{(15,1),(16,1),(111,1),(192,1),(224,1)}
         5:{1,3,4,7}:{(16,1),(17,1),(18,1),(19,1),(113,1),(132,1),(192,1)}
         6:{1,2,3,6}:{(0,1),(20,1),(52,1),(60,1),(66,1)}
         7:{1,2,4,7}:{(0,1),(19,1),(20,1),(50,1),(58,1)}
         8:{2,4,5,7}:{(1,1),(14,1),(22,1),(53,1),(70,1),(119,1),(130,1),(193,1)}
         9:{1,4,5,7}:{(1,1),(18,1),(23,1),(61,1),(72,1),(117,1),(132,1),(183,1)}
        10:{3,4,6}:{(1,1),(22,1),(23,1),(24,1),(66,1),(135,1)}
        11:{1,2,3,6}:{(2,1),(27,1),(28,1),(151,1),(203,1)}
        12:{1,2,4,7}:{(2,1),(3,1),(26,1),(28,1),(29,1),(160,1)}
        13:{2,3,4,6}:{(3,1),(28,1),(30,1),(31,1),(38,1),(78,1),(83,1),(151,1)}
        14:{2,3,5,7}:{(3,1),(8,1),(29,1),(30,1),(31,1),(39,1),(161,1),(212,1)}
        15:{1,2,3,6}:{(4,1),(33,1),(34,1),(163,1),(211,1)}
        16:{1,2,4,7}:{(4,1),(5,1),(32,1),(34,1),(35,1),(148,1)}
        17:{1,3,4,6}:{(5,1),(34,1),(36,1),(37,1),(38,1),(88,1),(93,1),(163,1)}
        18:{1,3,5,7}:{(5,1),(9,1),(35,1),(36,1),(37,1),(39,1),(150,1),(205,1)}
        19:{3,4,7}:{(7,1),(38,1),(39,1),(78,1),(88,1),(169,1)}
        20:{1,2,4,6}:{(6,1),(7,1),(38,1),(40,1)}
        21:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(29,1),(35,1),(39,1),(40,1),(41,1),(75,1),(79,1),(85,1),(89,1),(96,1),(99,1),(152,1),(164,1),(169,1)}
        22:{2,4,6}:{(8,1),(10,1),(31,1),(42,1)}
        23:{1,4,6}:{(9,1),(10,1),(37,1),(44,1)}
        24:{3,5,6}:{(10,1),(42,1),(44,1),(46,1),(47,1)}
        25:{3,4,6,7}:{(10,1),(43,1),(45,1),(47,1),(98,1),(106,1),(154,1),(166,1),(169,1),(170,1),(172,1)}
        26:{1,3,4,7}:{(12,1),(19,1),(48,1),(49,1),(126,1),(178,1),(182,1)}
        27:{1,2,3,5}:{(11,1),(50,1),(51,1),(111,1),(114,1),(179,1)}
        28:{1,2,4,6}:{(11,1),(12,1),(13,1),(48,1),(50,1),(51,1),(52,1)}
        29:{1,2,5,7}:{(12,1),(14,1),(49,1),(51,1),(52,1),(189,1),(224,1)}
        30:{2,3,5}:{(13,1),(51,1),(53,1),(65,1),(114,1)}
        31:{2,3,6}:{(14,1),(22,1),(52,1),(66,1)}
        32:{2,3,4,7}:{(16,1),(19,1),(56,1),(57,1),(112,1),(188,1),(192,1)}
        33:{1,2,3,5}:{(15,1),(58,1),(59,1),(124,1),(127,1),(189,1)}
        34:{1,2,4,6}:{(15,1),(16,1),(17,1),(56,1),(58,1),(59,1),(60,1)}
        35:{1,2,5,7}:{(16,1),(18,1),(57,1),(59,1),(60,1),(179,1),(219,1)}
        36:{1,3,5}:{(17,1),(59,1),(61,1),(65,1),(127,1)}
        37:{1,3,6}:{(18,1),(23,1),(60,1),(66,1)}
        38:{3,4,6}:{(19,1),(20,1),(65,1),(66,1),(135,1)}
        39:{3,5,7}:{(19,1),(21,1),(65,1),(66,1),(114,1),(127,1),(182,1),(192,1)}
        40:{1,2,5}:{(20,1),(65,1)}
        41:{1,2,4,6}:{(21,1),(22,1),(23,1),(52,1),(60,1),(66,1),(67,1),(107,1),(120,1),(135,1)}
        42:{2,5,6}:{(22,1),(24,1),(70,1)}
        43:{2,4,6,7}:{(22,1),(25,1),(55,1),(70,1),(119,1),(193,1),(197,1)}
        44:{1,5,6}:{(23,1),(24,1),(72,1)}
        45:{1,4,6,7}:{(23,1),(25,1),(63,1),(72,1),(132,1),(183,1),(196,1)}
        46:{4,5,6}:{(24,1),(74,1),(135,1)}
        47:{3,5,7}:{(24,1),(25,1),(70,1),(72,1),(74,1)}
        48:{1,3,4,6}:{(26,1),(28,1),(38,1),(76,1),(77,1),(78,1),(146,1),(151,1)}
        49:{1,3,5,7}:{(26,1),(29,1),(39,1),(75,1),(76,1),(77,1),(162,1),(213,1)}
        50:{1,2,4}:{(27,1),(78,1)}
        51:{1,2,5}:{(28,1),(30,1),(76,1)}
        52:{1,2,6}:{(29,1),(31,1),(77,1)}
        53:{2,4,5}:{(30,1),(82,1),(83,1),(96,1)}
        54:{2,3,5,6}:{(30,1),(31,1),(42,1),(80,1),(83,1),(84,1),(97,1),(101,1),(151,1)}
        55:{2,3,6,7}:{(31,1),(43,1),(81,1),(84,1),(98,1),(170,1),(212,1)}
        56:{2,3,4,6}:{(32,1),(34,1),(38,1),(86,1),(87,1),(88,1),(158,1),(163,1)}
        57:{2,3,5,7}:{(32,1),(35,1),(39,1),(85,1),(86,1),(87,1),(149,1),(204,1)}
        58:{1,2,4}:{(33,1),(88,1)}
        59:{1,2,5}:{(34,1),(36,1),(86,1)}
        60:{1,2,6}:{(35,1),(37,1),(87,1)}
        61:{1,4,5}:{(36,1),(92,1),(93,1),(96,1)}
        62:{1,3,5,6}:{(36,1),(37,1),(44,1),(90,1),(93,1),(94,1),(97,1),(104,1),(163,1)}
        63:{1,3,6,7}:{(37,1),(45,1),(91,1),(94,1),(98,1),(172,1),(205,1)}
        64:{3,4,5,7}:{(39,1),(75,1),(85,1),(95,1),(96,1),(145,1),(157,1),(168,1),(169,1),(202,1),(210,1)}
        65:{3,5}:{(38,1),(40,1),(96,1)}
        66:{3,6}:{(39,1),(41,1)}
        67:{1,2,5,6}:{(40,1),(41,1),(42,1),(44,1),(97,1),(99,1),(143,1),(155,1)}
        68:{1,2,4,6,7}:{(41,1),(43,1),(45,1),(81,1),(91,1),(98,1),(99,1),(144,1),(152,1),(156,1),(164,1),(169,1)}
        69:{2,4,5,6}:{(42,1),(46,1),(83,1),(101,1),(102,1)}
        70:{2,5,7}:{(42,1),(43,1),(47,1)}
        71:{1,4,5,6}:{(44,1),(46,1),(93,1),(104,1),(105,1)}
        72:{1,5,7}:{(44,1),(45,1),(47,1)}
        73:{3,5,6,7}:{(47,1),(100,1),(103,1),(106,1),(170,1),(172,1)}
        74:{4,5,7}:{(46,1),(47,1),(106,1),(169,1)}
        75:{1,4,5,7}:{(49,1),(64,1),(107,1),(108,1),(175,1),(178,1),(186,1),(223,1)}
        76:{1,3,5}:{(48,1),(51,1),(65,1),(108,1),(114,1)}
        77:{1,3,6}:{(49,1),(52,1),(66,1),(107,1)}
        78:{3,4}:{(50,1),(114,1)}
        79:{1,2,4,5}:{(50,1),(51,1),(53,1),(108,1),(114,1),(115,1),(117,1),(176,1),(179,1)}
        80:{1,2,5,6}:{(51,1),(52,1),(54,1),(109,1),(115,1),(116,1),(138,1),(216,1)}
        81:{1,2,6,7}:{(52,1),(55,1),(110,1),(116,1),(196,1),(224,1),(229,1)}
        82:{3,4,5}:{(53,1),(114,1),(117,1),(118,1)}
        83:{2,4,6}:{(53,1),(54,1),(118,1),(119,1),(135,1)}
        84:{2,3,5,7}:{(54,1),(55,1),(70,1),(116,1),(119,1),(136,1),(139,1),(182,1)}
        85:{2,4,5,7}:{(57,1),(64,1),(120,1),(121,1),(176,1),(185,1),(188,1),(218,1)}
        86:{2,3,5}:{(56,1),(59,1),(65,1),(121,1),(127,1)}
        87:{2,3,6}:{(57,1),(60,1),(66,1),(120,1)}
        88:{3,4}:{(58,1),(127,1)}
        89:{1,2,4,5}:{(58,1),(59,1),(61,1),(121,1),(127,1),(128,1),(130,1),(186,1),(189,1)}
        90:{1,2,5,6}:{(59,1),(60,1),(62,1),(122,1),(128,1),(129,1),(141,1),(221,1)}
        91:{1,2,6,7}:{(60,1),(63,1),(123,1),(129,1),(197,1),(219,1),(230,1)}
        92:{3,4,5}:{(61,1),(127,1),(130,1),(131,1)}
        93:{1,4,6}:{(61,1),(62,1),(131,1),(132,1),(135,1)}
        94:{1,3,5,7}:{(62,1),(63,1),(72,1),(129,1),(132,1),(136,1),(142,1),(192,1)}
        95:{3,4,6}:{(64,1),(66,1),(107,1),(120,1),(133,1),(135,1)}
        96:{4,5}:{(65,1),(135,1)}
        97:{3,5,6}:{(65,1),(66,1),(67,1),(135,1),(136,1)}
        98:{3,6,7}:{(66,1),(68,1),(136,1),(182,1),(192,1)}
        99:{1,2,5,7}:{(67,1),(68,1),(70,1),(72,1),(136,1),(175,1),(185,1)}
       100:{2,5,6,7}:{(70,1),(73,1),(137,1),(197,1)}
       101:{3,5,6}:{(69,1),(118,1),(138,1),(139,1)}
       102:{2,4,5,7}:{(69,1),(70,1),(74,1),(119,1),(137,1),(139,1)}
       103:{1,5,6,7}:{(72,1),(73,1),(140,1),(196,1)}
       104:{3,5,6}:{(71,1),(131,1),(141,1),(142,1)}
       105:{1,4,5,7}:{(71,1),(72,1),(74,1),(132,1),(140,1),(142,1)}
       106:{4,6,7}:{(73,1),(74,1)}
       107:{1,4,6}:{(75,1),(77,1),(95,1),(143,1)}
       108:{1,4,5}:{(76,1),(96,1),(145,1),(146,1)}
       109:{1,3,5,6}:{(76,1),(77,1),(80,1),(97,1),(143,1),(146,1),(147,1),(151,1),(199,1)}
       110:{1,3,6,7}:{(77,1),(81,1),(98,1),(144,1),(147,1),(213,1),(225,1)}
       111:{1,2,3}:{(148,1)}
       112:{2,3,4}:{(78,1),(148,1),(149,1)}
       113:{1,3,4}:{(78,1),(148,1),(150,1)}
       114:{3,5}:{(78,1),(79,1),(151,1)}
       115:{1,2,4,6}:{(79,1),(80,1),(83,1),(146,1),(151,1),(152,1),(153,1),(201,1),(203,1)}
       116:{1,2,5,7}:{(80,1),(81,1),(84,1),(147,1),(152,1),(171,1),(226,1)}
       117:{1,4,5}:{(82,1),(150,1),(153,1)}
       118:{3,4,6}:{(82,1),(83,1),(101,1),(151,1),(153,1),(154,1)}
       119:{2,4,7}:{(83,1),(84,1),(154,1),(169,1)}
       120:{2,4,6}:{(85,1),(87,1),(95,1),(155,1)}
       121:{2,4,5}:{(86,1),(96,1),(157,1),(158,1)}
       122:{2,3,5,6}:{(86,1),(87,1),(90,1),(97,1),(155,1),(158,1),(159,1),(163,1),(207,1)}
       123:{2,3,6,7}:{(87,1),(91,1),(98,1),(156,1),(159,1),(204,1),(227,1)}
       124:{1,2,3}:{(160,1)}
       125:{2,3,4}:{(88,1),(160,1),(161,1)}
       126:{1,3,4}:{(88,1),(160,1),(162,1)}
       127:{3,5}:{(88,1),(89,1),(163,1)}
       128:{1,2,4,6}:{(89,1),(90,1),(93,1),(158,1),(163,1),(164,1),(165,1),(209,1),(211,1)}
       129:{1,2,5,7}:{(90,1),(91,1),(94,1),(159,1),(164,1),(173,1),(228,1)}
       130:{2,4,5}:{(92,1),(161,1),(165,1)}
       131:{3,4,6}:{(92,1),(93,1),(104,1),(163,1),(165,1),(166,1)}
       132:{1,4,7}:{(93,1),(94,1),(166,1),(169,1)}
       133:{3,5,6}:{(95,1),(143,1),(155,1),(167,1),(168,1)}
       134:{3,4,6,7}:{(95,1),(98,1),(144,1),(156,1),(168,1),(169,1),(202,1),(210,1),(214,1),(225,1),(227,1)}
       135:{4,6}:{(96,1),(97,1),(169,1)}
       136:{3,5,7}:{(97,1),(98,1),(99,1),(169,1)}
       137:{2,4,6,7}:{(100,1),(102,1),(106,1),(170,1)}
       138:{1,5,6}:{(101,1),(153,1),(171,1)}
       139:{3,5,7}:{(101,1),(102,1),(154,1),(170,1),(171,1)}
       140:{1,4,6,7}:{(103,1),(105,1),(106,1),(172,1)}
       141:{2,5,6}:{(104,1),(165,1),(173,1)}
       142:{3,5,7}:{(104,1),(105,1),(166,1),(172,1),(173,1)}
       143:{1,5,6}:{(107,1),(133,1),(175,1)}
       144:{1,4,6,7}:{(107,1),(110,1),(134,1),(175,1),(178,1),(223,1),(230,1)}
       145:{3,4,5}:{(108,1),(114,1),(176,1),(177,1)}
       146:{1,4,6}:{(108,1),(109,1),(135,1),(177,1),(178,1)}
       147:{1,3,5,7}:{(109,1),(110,1),(116,1),(136,1),(175,1),(178,1),(182,1),(217,1)}
       148:{1,2,4}:{(111,1),(112,1),(113,1),(179,1)}
       149:{2,3,5}:{(112,1),(114,1),(176,1),(179,1),(180,1)}
       150:{1,3,5}:{(113,1),(114,1),(117,1),(179,1),(181,1)}
       151:{3,6}:{(114,1),(115,1),(182,1)}
       152:{1,2,4,7}:{(115,1),(116,1),(119,1),(178,1),(182,1),(183,1),(218,1),(219,1)}
       153:{1,4,6}:{(117,1),(118,1),(138,1),(181,1),(183,1)}
       154:{3,4,7}:{(118,1),(119,1),(139,1),(182,1),(183,1)}
       155:{2,5,6}:{(120,1),(133,1),(185,1)}
       156:{2,4,6,7}:{(120,1),(123,1),(134,1),(185,1),(188,1),(218,1),(229,1)}
       157:{3,4,5}:{(121,1),(127,1),(186,1),(187,1)}
       158:{2,4,6}:{(121,1),(122,1),(135,1),(187,1),(188,1)}
       159:{2,3,5,7}:{(122,1),(123,1),(129,1),(136,1),(185,1),(188,1),(192,1),(222,1)}
       160:{1,2,4}:{(124,1),(125,1),(126,1),(189,1)}
       161:{2,3,5}:{(125,1),(127,1),(130,1),(189,1),(190,1)}
       162:{1,3,5}:{(126,1),(127,1),(186,1),(189,1),(191,1)}
       163:{3,6}:{(127,1),(128,1),(192,1)}
       164:{1,2,4,7}:{(128,1),(129,1),(132,1),(188,1),(192,1),(193,1),(223,1),(224,1)}
       165:{2,4,6}:{(130,1),(131,1),(141,1),(190,1),(193,1)}
       166:{3,4,7}:{(131,1),(132,1),(142,1),(192,1),(193,1)}
       167:{4,5,6}:{(133,1),(135,1),(195,1)}
       168:{3,5,7}:{(133,1),(134,1),(175,1),(185,1),(195,1)}
       169:{4,7}:{(135,1),(136,1)}
       170:{3,6,7}:{(137,1),(139,1),(196,1)}
       171:{1,5,7}:{(138,1),(139,1),(183,1),(196,1)}
       172:{3,6,7}:{(140,1),(142,1),(197,1)}
       173:{2,5,7}:{(141,1),(142,1),(193,1),(197,1)}
       174:{1,4,5,6}:{(143,1),(146,1),(167,1),(199,1),(200,1)}
       175:{1,5,7}:{(143,1),(144,1),(168,1)}
       176:{2,4,5}:{(145,1),(149,1),(201,1)}
       177:{3,4,6}:{(145,1),(146,1),(151,1),(199,1),(201,1),(202,1)}
       178:{1,4,7}:{(146,1),(147,1),(169,1),(202,1)}
       179:{1,2,5}:{(148,1),(149,1),(150,1),(203,1)}
       180:{2,3,6}:{(149,1),(151,1),(201,1),(203,1),(204,1)}
       181:{1,3,6}:{(150,1),(151,1),(153,1),(203,1),(205,1)}
       182:{3,7}:{(151,1),(152,1)}
       183:{1,4,7}:{(153,1),(154,1),(171,1),(205,1)}
       184:{2,4,5,6}:{(155,1),(158,1),(167,1),(207,1),(208,1)}
       185:{2,5,7}:{(155,1),(156,1),(168,1)}
       186:{1,4,5}:{(157,1),(162,1),(209,1)}
       187:{3,4,6}:{(157,1),(158,1),(163,1),(207,1),(209,1),(210,1)}
       188:{2,4,7}:{(158,1),(159,1),(169,1),(210,1)}
       189:{1,2,5}:{(160,1),(161,1),(162,1),(211,1)}
       190:{2,3,6}:{(161,1),(163,1),(165,1),(211,1),(212,1)}
       191:{1,3,6}:{(162,1),(163,1),(209,1),(211,1),(213,1)}
       192:{3,7}:{(163,1),(164,1)}
       193:{2,4,7}:{(165,1),(166,1),(173,1),(212,1)}
       194:{3,5,6,7}:{(168,1),(198,1),(206,1),(214,1),(225,1),(227,1)}
       195:{4,5,7}:{(167,1),(168,1),(169,1),(214,1)}
       196:{1,6,7}:{(170,1),(171,1)}
       197:{2,6,7}:{(172,1),(173,1)}
       198:{1,5,6,7}:{(175,1),(194,1),(215,1),(230,1)}
       199:{3,5,6}:{(174,1),(177,1),(216,1),(217,1)}
       200:{1,4,5,7}:{(174,1),(175,1),(178,1),(195,1),(215,1),(217,1)}
       201:{2,4,6}:{(176,1),(177,1),(180,1),(216,1),(218,1)}
       202:{3,4,7}:{(177,1),(178,1),(182,1),(217,1),(218,1)}
       203:{1,2,6}:{(179,1),(180,1),(181,1),(219,1)}
       204:{2,3,7}:{(180,1),(182,1),(218,1),(219,1)}
       205:{1,3,7}:{(181,1),(182,1),(183,1),(219,1)}
       206:{2,5,6,7}:{(185,1),(194,1),(220,1),(229,1)}
       207:{3,5,6}:{(184,1),(187,1),(221,1),(222,1)}
       208:{2,4,5,7}:{(184,1),(185,1),(188,1),(195,1),(220,1),(222,1)}
       209:{1,4,6}:{(186,1),(187,1),(191,1),(221,1),(223,1)}
       210:{3,4,7}:{(187,1),(188,1),(192,1),(222,1),(223,1)}
       211:{1,2,6}:{(189,1),(190,1),(191,1),(224,1)}
       212:{2,3,7}:{(190,1),(192,1),(193,1),(224,1)}
       213:{1,3,7}:{(191,1),(192,1),(223,1),(224,1)}
       214:{4,6,7}:{(194,1),(195,1)}
       215:{1,4,6,7}:{(198,1),(200,1),(214,1),(225,1)}
       216:{2,5,6}:{(199,1),(201,1),(226,1)}
       217:{3,5,7}:{(199,1),(200,1),(202,1),(225,1),(226,1)}
       218:{2,4,7}:{(201,1),(202,1),(204,1),(226,1)}
       219:{1,2,7}:{(203,1),(204,1),(205,1)}
       220:{2,4,6,7}:{(206,1),(208,1),(214,1),(227,1)}
       221:{1,5,6}:{(207,1),(209,1),(228,1)}
       222:{3,5,7}:{(207,1),(208,1),(210,1),(227,1),(228,1)}
       223:{1,4,7}:{(209,1),(210,1),(213,1),(228,1)}
       224:{1,2,7}:{(211,1),(212,1),(213,1)}
       225:{3,6,7}:{(215,1),(217,1),(229,1)}
       226:{2,5,7}:{(216,1),(217,1),(218,1),(229,1)}
       227:{3,6,7}:{(220,1),(222,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(223,1),(230,1)}
       229:{2,6,7}:{(225,1),(226,1)}
       230:{1,6,7}:{(227,1),(228,1)}

1205 :   0:{1,4,5,6,7}:{(1,1),(12,1),(163,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(182,1)}
         2:{1,3,4,5,7}:{(7,1),(8,1),(10,1),(57,1),(72,1),(103,1),(111,1),(114,1),(119,1),(122,1)}
         3:{1,3,4,6,7}:{(7,1),(10,1),(11,1),(12,1),(38,1),(72,1),(75,1)}
         4:{3,4,6,7}:{(1,1),(9,1),(12,1),(13,1),(38,1),(165,1)}
         5:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(14,1),(38,1),(115,1)}
         6:{2,5,6,7}:{(1,1),(13,1),(197,1)}
         7:{1,3,4,6}:{(2,1),(16,1),(17,1),(86,1),(141,1),(146,1),(148,1)}
         8:{1,2,4,5,7}:{(2,1),(17,1),(18,1),(21,1),(41,1),(52,1),(83,1),(87,1)}
         9:{3,4,5,7}:{(4,1),(15,1),(19,1),(20,1),(51,1)}
        10:{1,3,5,7}:{(3,1),(16,1),(19,1),(21,1),(51,1),(99,1)}
        11:{1,2,4,6,7}:{(3,1),(17,1),(21,1),(22,1),(52,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(19,1),(141,1)}
        13:{2,4,6,7}:{(4,1),(6,1),(20,1),(23,1),(184,1)}
        14:{1,2,5,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(94,1),(99,1)}
        15:{3,4,5,6}:{(9,1),(27,1),(28,1),(63,1),(153,1),(165,1)}
        16:{1,3,5,6}:{(7,1),(10,1),(27,1),(29,1),(63,1),(103,1),(125,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(29,1),(30,1),(64,1)}
        18:{2,3,5,7}:{(8,1),(30,1),(31,1),(65,1),(119,1)}
        19:{1,4,5,7}:{(9,1),(10,1),(12,1),(27,1)}
        20:{2,4,5,7}:{(9,1),(13,1),(28,1),(33,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(29,1),(35,1)}
        22:{2,3,6,7}:{(11,1),(30,1),(35,1),(38,1)}
        23:{2,3,6,7}:{(13,1),(33,1),(37,1),(38,1),(168,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(34,1),(37,1),(38,1),(39,1),(75,1),(120,1)}
        25:{2,3,5,6,7}:{(14,1),(35,1),(38,1),(39,1),(74,1),(76,1)}
        26:{1,2,3,5,7}:{(18,1),(40,1),(41,1),(80,1),(83,1)}
        27:{1,4,5,6}:{(15,1),(16,1),(19,1),(128,1),(141,1)}
        28:{2,4,5,6}:{(15,1),(20,1),(42,1),(173,1),(184,1)}
        29:{1,2,5,6}:{(16,1),(17,1),(21,1),(44,1),(83,1)}
        30:{2,3,6}:{(17,1),(18,1),(146,1)}
        31:{2,3,4,7}:{(18,1),(41,1),(45,1),(52,1),(92,1)}
        32:{1,2,3,6,7}:{(22,1),(40,1),(48,1),(49,1),(54,1),(130,1),(146,1),(186,1),(187,1)}
        33:{2,3,5,7}:{(20,1),(23,1),(42,1),(47,1),(50,1),(51,1)}
        34:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(24,1),(43,1),(50,1),(51,1),(52,1),(56,1),(95,1),(99,1)}
        35:{2,3,5,7}:{(21,1),(22,1),(44,1),(51,1),(52,1)}
        36:{2,3,4,6,7}:{(22,1),(45,1),(49,1),(52,1),(53,1),(55,1),(92,1),(97,1),(146,1)}
        37:{1,2,6,7}:{(23,1),(50,1),(54,1),(186,1)}
        38:{3,6,7}:{(24,1),(51,1),(146,1)}
        39:{2,4,6,7}:{(25,1),(52,1),(55,1),(56,1),(97,1)}
        40:{1,2,3,6}:{(26,1),(30,1),(60,1),(104,1)}
        41:{1,2,4,7}:{(26,1),(31,1),(57,1),(60,1)}
        42:{2,3,5,6}:{(28,1),(33,1),(58,1),(62,1),(63,1),(157,1),(168,1)}
        43:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(34,1),(62,1),(63,1),(64,1),(77,1),(107,1),(110,1),(120,1),(125,1)}
        44:{2,3,5,6}:{(29,1),(30,1),(35,1),(63,1),(64,1),(65,1)}
        45:{2,3,4,6}:{(30,1),(31,1),(60,1),(64,1),(65,1),(106,1)}
        46:{2,3,4,5,7}:{(31,1),(61,1),(65,1),(66,1),(73,1),(113,1),(119,1),(153,1),(164,1),(193,1)}
        47:{2,3,4,7}:{(33,1),(58,1),(68,1),(72,1)}
        48:{1,2,3,5,7}:{(32,1),(35,1),(59,1),(69,1),(70,1),(71,1),(116,1),(119,1),(155,1),(167,1),(195,1)}
        49:{1,2,4,6,7}:{(32,1),(36,1),(60,1),(67,1),(69,1),(70,1),(75,1),(120,1),(199,1)}
        50:{1,2,5,7}:{(33,1),(37,1),(62,1),(68,1),(71,1)}
        51:{3,5,7}:{(34,1),(38,1),(63,1),(72,1)}
        52:{2,4,7}:{(35,1),(64,1),(72,1)}
        53:{2,3,5,7}:{(36,1),(65,1),(70,1),(73,1),(74,1),(76,1),(119,1)}
        54:{1,3,6,7}:{(37,1),(38,1),(71,1),(75,1),(169,1)}
        55:{3,4,6,7}:{(38,1),(39,1),(72,1),(75,1),(76,1),(123,1)}
        56:{2,4,5,7}:{(39,1),(76,1),(77,1)}
        57:{1,3,4,7}:{(41,1),(79,1),(80,1),(92,1),(176,1)}
        58:{2,3,4,6}:{(42,1),(47,1),(78,1),(81,1),(86,1)}
        59:{1,2,3,5,6}:{(40,1),(44,1),(48,1),(82,1),(83,1),(85,1),(94,1),(129,1),(131,1),(134,1),(146,1),(177,1),(178,1),(186,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(45,1),(79,1),(83,1)}
        61:{1,2,4,5,7}:{(41,1),(46,1),(80,1),(83,1),(84,1),(128,1),(136,1),(176,1)}
        62:{1,2,5,6}:{(42,1),(50,1),(81,1),(85,1),(177,1),(186,1)}
        63:{3,5,6}:{(43,1),(51,1),(86,1),(134,1),(146,1)}
        64:{2,4,6}:{(44,1),(52,1),(86,1),(87,1)}
        65:{2,3,5}:{(45,1),(83,1),(87,1),(134,1)}
        66:{2,3,4,6}:{(46,1),(84,1),(88,1),(97,1),(146,1),(175,1),(184,1)}
        67:{1,3,4,6,7}:{(49,1),(79,1),(90,1),(92,1),(130,1),(141,1),(146,1),(176,1),(185,1)}
        68:{1,2,4,7}:{(47,1),(50,1),(81,1),(91,1),(95,1)}
        69:{1,2,4,7}:{(48,1),(52,1),(82,1),(92,1),(95,1),(176,1),(203,1)}
        70:{1,2,5,7}:{(49,1),(53,1),(83,1),(90,1),(94,1),(99,1),(206,1)}
        71:{1,3,5,7}:{(50,1),(51,1),(54,1),(85,1),(91,1),(95,1),(99,1)}
        72:{3,4,7}:{(51,1),(52,1),(86,1),(95,1)}
        73:{2,4,5,7}:{(52,1),(53,1),(87,1),(96,1),(97,1)}
        74:{2,3,5,6}:{(53,1),(94,1),(97,1),(100,1),(146,1)}
        75:{1,4,6,7}:{(54,1),(55,1),(95,1),(99,1),(148,1)}
        76:{3,5,7}:{(55,1),(56,1),(99,1),(100,1)}
        77:{2,4,5,6}:{(56,1),(97,1),(100,1)}
        78:{2,3,4,5}:{(58,1),(102,1),(111,1),(157,1),(189,1)}
        79:{1,3,4,6}:{(57,1),(60,1),(103,1),(104,1),(106,1),(154,1)}
        80:{1,3,5,7}:{(57,1),(61,1),(103,1),(104,1),(119,1)}
        81:{1,2,4,6}:{(58,1),(62,1),(68,1),(102,1),(105,1),(110,1)}
        82:{1,2,4,6}:{(59,1),(64,1),(69,1),(106,1),(107,1),(110,1),(154,1),(191,1)}
        83:{1,2,5}:{(60,1),(65,1),(103,1)}
        84:{1,2,4,6}:{(61,1),(66,1),(104,1),(108,1),(154,1)}
        85:{1,3,5,6}:{(62,1),(63,1),(71,1),(105,1),(110,1),(125,1),(158,1),(169,1)}
        86:{3,4,6}:{(63,1),(64,1),(72,1),(110,1),(111,1)}
        87:{2,4,5}:{(64,1),(65,1),(111,1)}
        88:{2,3,5,6}:{(65,1),(66,1),(108,1),(112,1),(113,1),(159,1),(197,1)}
        89:{2,3,4,6,7}:{(66,1),(109,1),(113,1),(124,1),(170,1),(193,1),(199,1)}
        90:{1,3,5,7}:{(67,1),(70,1),(103,1),(114,1),(115,1),(119,1),(198,1)}
        91:{1,3,7}:{(68,1),(105,1)}
        92:{3,4,7}:{(69,1),(106,1),(119,1)}
        93:{1,2,4,5,7}:{(69,1),(70,1),(73,1),(107,1),(114,1),(119,1),(120,1),(122,1),(164,1),(167,1)}
        94:{1,2,5,6}:{(70,1),(74,1),(115,1),(120,1),(125,1),(197,1)}
        95:{1,4,7}:{(71,1),(72,1),(110,1)}
        96:{3,4,5,7}:{(72,1),(73,1),(76,1),(111,1),(119,1),(122,1),(123,1)}
        97:{2,4,6}:{(73,1),(74,1),(123,1)}
        98:{2,3,5,6,7}:{(74,1),(113,1),(121,1),(124,1),(126,1),(170,1)}
        99:{1,5,7}:{(75,1),(76,1),(125,1)}
       100:{3,5,6}:{(76,1),(77,1),(123,1),(125,1)}
       101:{2,4,5,6,7}:{(77,1),(124,1),(126,1)}
       102:{1,2,4,5}:{(78,1),(81,1),(127,1),(137,1),(172,1),(177,1)}
       103:{1,3,5}:{(79,1),(83,1),(128,1),(134,1)}
       104:{1,3,6}:{(80,1),(84,1),(146,1)}
       105:{1,3,6}:{(81,1),(91,1),(127,1)}
       106:{3,4,6}:{(82,1),(92,1),(134,1),(146,1)}
       107:{1,2,4,5}:{(82,1),(83,1),(87,1),(128,1),(134,1),(137,1),(173,1),(177,1)}
       108:{1,2,5,6}:{(83,1),(84,1),(88,1),(129,1),(136,1)}
       109:{1,2,4,6,7}:{(84,1),(89,1),(130,1),(136,1),(176,1)}
       110:{1,4,6}:{(85,1),(86,1),(95,1),(137,1)}
       111:{3,4,5}:{(86,1),(87,1),(134,1),(137,1)}
       112:{2,4,5,6}:{(87,1),(88,1),(97,1),(138,1),(139,1)}
       113:{2,3,5,7}:{(88,1),(89,1),(136,1),(139,1),(180,1),(206,1)}
       114:{1,4,5,7}:{(90,1),(128,1),(140,1),(141,1),(176,1)}
       115:{1,3,5,6}:{(90,1),(94,1),(141,1),(146,1),(182,1)}
       116:{1,2,3,7}:{(91,1),(131,1),(143,1),(209,1)}
       117:{2,3,4,7}:{(92,1),(132,1),(143,1),(144,1),(203,1),(209,1)}
       118:{1,3,4,7}:{(91,1),(92,1),(95,1),(133,1),(143,1),(145,1)}
       119:{3,5,7}:{(92,1),(93,1),(134,1),(146,1)}
       120:{1,2,4,6}:{(93,1),(94,1),(97,1),(141,1),(146,1),(148,1),(184,1),(186,1)}
       121:{1,2,5,6,7}:{(94,1),(98,1),(136,1),(142,1),(147,1),(150,1),(206,1)}
       122:{1,4,5,7}:{(95,1),(96,1),(99,1),(137,1),(145,1),(148,1)}
       123:{3,4,6}:{(96,1),(97,1),(100,1),(146,1),(148,1)}
       124:{2,4,6,7}:{(97,1),(98,1),(139,1),(149,1)}
       125:{1,5,6}:{(99,1),(100,1),(148,1)}
       126:{3,5,6,7}:{(100,1),(101,1),(149,1),(150,1)}
       127:{1,3,5}:{(102,1),(105,1),(152,1)}
       128:{1,4,5}:{(103,1),(153,1),(154,1)}
       129:{1,3,5,6}:{(103,1),(104,1),(108,1),(154,1),(155,1),(159,1)}
       130:{1,3,6,7}:{(104,1),(109,1),(155,1),(170,1)}
       131:{1,2,3,6}:{(105,1),(116,1),(151,1),(156,1),(207,1)}
       132:{2,3,4,6}:{(106,1),(117,1),(156,1),(157,1),(168,1),(189,1),(191,1),(207,1)}
       133:{1,3,4,6}:{(105,1),(106,1),(110,1),(118,1),(152,1),(156,1),(158,1),(169,1)}
       134:{3,5}:{(106,1),(107,1)}
       135:{1,2,4,5,6}:{(107,1),(108,1),(112,1),(120,1),(154,1),(159,1),(160,1),(161,1),(163,1),(191,1),(194,1),(197,1)}
       136:{1,2,5,7}:{(108,1),(109,1),(113,1),(155,1)}
       137:{1,4,5}:{(110,1),(111,1),(158,1)}
       138:{3,4,5,6}:{(111,1),(112,1),(123,1),(159,1),(161,1),(162,1)}
       139:{2,4,5,7}:{(112,1),(113,1),(124,1),(162,1)}
       140:{3,4,5,7}:{(114,1),(119,1),(153,1),(164,1),(165,1),(193,1),(198,1)}
       141:{1,4,6}:{(114,1),(115,1),(165,1)}
       142:{1,3,5,6,7}:{(115,1),(121,1),(155,1),(166,1),(170,1),(198,1)}
       143:{1,2,4,7}:{(116,1),(117,1),(118,1),(156,1),(167,1)}
       144:{2,3,5,7}:{(117,1),(119,1),(157,1),(164,1),(167,1),(168,1)}
       145:{1,3,5,7}:{(118,1),(119,1),(122,1),(158,1),(167,1),(169,1)}
       146:{3,6}:{(119,1),(120,1)}
       147:{1,2,4,6,7}:{(120,1),(121,1),(124,1),(160,1),(166,1),(170,1),(171,1),(199,1),(200,1)}
       148:{1,4,6}:{(122,1),(123,1),(125,1),(169,1)}
       149:{3,4,6,7}:{(123,1),(124,1),(126,1),(162,1),(170,1),(171,1)}
       150:{1,5,6,7}:{(125,1),(126,1),(171,1)}
       151:{1,2,3,5}:{(127,1),(131,1),(172,1),(177,1),(201,1)}
       152:{1,3,4}:{(127,1),(172,1)}
       153:{3,4,5}:{(128,1),(134,1),(173,1),(175,1)}
       154:{1,4,6}:{(128,1),(129,1),(175,1),(176,1)}
       155:{1,3,5,7}:{(129,1),(130,1),(136,1),(176,1),(180,1)}
       156:{1,2,4,6}:{(131,1),(132,1),(133,1),(143,1),(172,1),(177,1),(186,1)}
       157:{2,3,5}:{(132,1),(134,1),(173,1),(177,1)}
       158:{1,3,5}:{(133,1),(134,1),(137,1),(177,1)}
       159:{3,5,6}:{(134,1),(135,1),(146,1),(175,1),(180,1)}
       160:{1,2,4,5,7}:{(135,1),(136,1),(139,1),(147,1),(176,1),(180,1),(181,1),(183,1),(203,1),(205,1),(206,1)}
       161:{1,4,5,6}:{(137,1),(138,1),(148,1),(179,1),(181,1)}
       162:{3,4,5,7}:{(138,1),(139,1),(149,1),(180,1),(181,1)}
       163:{1,4,5,6}:{(141,1),(182,1),(183,1)}
       164:{2,4,5,7}:{(140,1),(144,1),(173,1),(184,1),(203,1),(206,1)}
       165:{3,4,6}:{(140,1),(141,1),(146,1),(182,1),(184,1)}
       166:{1,4,6,7}:{(141,1),(142,1),(176,1),(183,1),(185,1)}
       167:{1,2,5,7}:{(143,1),(144,1),(145,1),(177,1),(186,1)}
       168:{2,3,6}:{(144,1),(146,1),(184,1),(186,1)}
       169:{1,3,6}:{(145,1),(146,1),(148,1),(186,1)}
       170:{3,6,7}:{(146,1),(147,1),(180,1)}
       171:{1,4,6,7}:{(148,1),(149,1),(150,1),(181,1),(188,1)}
       172:{1,2,4}:{(151,1),(152,1),(189,1)}
       173:{2,4,5}:{(153,1),(157,1),(191,1)}
       174:{1,3,4,5}:{(152,1),(153,1),(158,1),(190,1),(192,1)}
       175:{3,4,6}:{(153,1),(154,1),(159,1),(191,1),(193,1)}
       176:{1,4,7}:{(154,1),(155,1),(193,1)}
       177:{1,2,5}:{(156,1),(157,1),(158,1)}
       178:{2,3,5,6}:{(157,1),(159,1),(168,1),(191,1),(194,1),(195,1),(197,1),(207,1)}
       179:{1,3,5,6}:{(158,1),(159,1),(161,1),(169,1),(192,1),(194,1),(196,1)}
       180:{3,5,7}:{(159,1),(160,1),(170,1),(193,1)}
       181:{1,4,5,7}:{(161,1),(162,1),(171,1),(196,1)}
       182:{3,5,6}:{(163,1),(165,1),(197,1),(198,1)}
       183:{1,4,5,7}:{(163,1),(166,1),(198,1)}
       184:{2,4,6}:{(164,1),(165,1),(168,1),(197,1)}
       185:{3,4,6,7}:{(165,1),(166,1),(170,1),(193,1),(198,1),(199,1)}
       186:{1,2,6}:{(167,1),(168,1),(169,1)}
       187:{2,3,6,7}:{(168,1),(170,1),(195,1),(199,1),(200,1)}
       188:{1,3,6,7}:{(169,1),(170,1),(171,1),(196,1),(200,1)}
       189:{2,3,4}:{(172,1),(201,1)}
       190:{1,2,4,5}:{(172,1),(173,1),(174,1),(177,1),(201,1),(202,1)}
       191:{2,4,6}:{(173,1),(175,1),(178,1),(203,1)}
       192:{1,3,4,6}:{(174,1),(175,1),(179,1),(202,1),(204,1)}
       193:{3,4,7}:{(175,1),(176,1),(180,1),(203,1)}
       194:{1,2,5,6}:{(177,1),(178,1),(179,1),(186,1),(202,1),(205,1)}
       195:{2,3,5,7}:{(178,1),(180,1),(187,1),(203,1),(205,1),(206,1),(209,1)}
       196:{1,3,5,7}:{(179,1),(180,1),(181,1),(188,1),(204,1),(205,1)}
       197:{2,5,6}:{(182,1),(184,1),(206,1)}
       198:{3,5,7}:{(182,1),(183,1),(185,1),(206,1)}
       199:{2,4,6,7}:{(184,1),(185,1),(187,1),(203,1),(206,1)}
       200:{1,2,6,7}:{(186,1),(187,1),(188,1),(205,1)}
       201:{2,3,5}:{(189,1),(190,1),(207,1)}
       202:{1,2,4,6}:{(190,1),(191,1),(192,1),(194,1),(207,1),(208,1)}
       203:{2,4,7}:{(191,1),(193,1),(195,1)}
       204:{1,3,4,7}:{(192,1),(193,1),(196,1),(208,1)}
       205:{1,2,5,7}:{(194,1),(195,1),(196,1),(200,1),(208,1)}
       206:{2,5,7}:{(197,1),(198,1),(199,1)}
       207:{2,3,6}:{(201,1),(202,1),(209,1)}
       208:{1,2,4,7}:{(202,1),(203,1),(204,1),(205,1),(209,1)}
       209:{2,3,7}:{(207,1),(208,1)}

1206 :   0:{2,4,5,6,7}:{(1,1),(13,1),(163,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(5,1),(182,1)}
         2:{2,3,4,5,7}:{(7,1),(8,1),(10,1),(57,1),(72,1),(103,1),(111,1),(114,1),(119,1),(122,1)}
         3:{2,3,4,6,7}:{(7,1),(10,1),(11,1),(13,1),(38,1),(72,1),(75,1)}
         4:{3,4,6,7}:{(1,1),(9,1),(12,1),(13,1),(38,1),(165,1)}
         5:{1,5,6,7}:{(1,1),(12,1),(197,1)}
         6:{2,3,5,6,7}:{(1,1),(10,1),(13,1),(14,1),(38,1),(115,1)}
         7:{2,3,4,6}:{(2,1),(16,1),(17,1),(86,1),(141,1),(146,1),(148,1)}
         8:{1,2,4,5,7}:{(2,1),(17,1),(18,1),(21,1),(41,1),(52,1),(83,1),(87,1)}
         9:{3,4,5,7}:{(4,1),(15,1),(19,1),(20,1),(51,1)}
        10:{2,3,5,7}:{(3,1),(16,1),(20,1),(21,1),(51,1),(99,1)}
        11:{1,2,4,6,7}:{(3,1),(17,1),(21,1),(22,1),(52,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(19,1),(23,1),(184,1)}
        13:{2,4,6,7}:{(4,1),(6,1),(20,1),(141,1)}
        14:{1,2,5,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(94,1),(99,1)}
        15:{3,4,5,6}:{(9,1),(27,1),(28,1),(63,1),(153,1),(165,1)}
        16:{2,3,5,6}:{(7,1),(10,1),(28,1),(29,1),(63,1),(103,1),(125,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(29,1),(30,1),(64,1)}
        18:{1,3,5,7}:{(8,1),(30,1),(31,1),(65,1),(119,1)}
        19:{1,4,5,7}:{(9,1),(12,1),(27,1),(33,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(13,1),(28,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(29,1),(35,1)}
        22:{1,3,6,7}:{(11,1),(30,1),(35,1),(38,1)}
        23:{1,3,6,7}:{(12,1),(33,1),(37,1),(38,1),(169,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(34,1),(37,1),(38,1),(39,1),(75,1),(120,1)}
        25:{1,3,5,6,7}:{(14,1),(35,1),(38,1),(39,1),(74,1),(76,1)}
        26:{1,2,3,5,7}:{(18,1),(40,1),(41,1),(80,1),(83,1)}
        27:{1,4,5,6}:{(15,1),(19,1),(42,1),(174,1),(184,1)}
        28:{2,4,5,6}:{(15,1),(16,1),(20,1),(128,1),(141,1)}
        29:{1,2,5,6}:{(16,1),(17,1),(21,1),(44,1),(83,1)}
        30:{1,3,6}:{(17,1),(18,1),(146,1)}
        31:{1,3,4,7}:{(18,1),(41,1),(45,1),(52,1),(92,1)}
        32:{1,2,3,6,7}:{(22,1),(40,1),(48,1),(49,1),(54,1),(130,1),(146,1),(186,1),(188,1)}
        33:{1,3,5,7}:{(19,1),(23,1),(42,1),(47,1),(50,1),(51,1)}
        34:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(24,1),(43,1),(50,1),(51,1),(52,1),(56,1),(95,1),(99,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(44,1),(51,1),(52,1)}
        36:{1,3,4,6,7}:{(22,1),(45,1),(49,1),(52,1),(53,1),(55,1),(92,1),(97,1),(146,1)}
        37:{1,2,6,7}:{(23,1),(50,1),(54,1),(186,1)}
        38:{3,6,7}:{(24,1),(51,1),(146,1)}
        39:{1,4,6,7}:{(25,1),(52,1),(55,1),(56,1),(97,1)}
        40:{1,2,3,6}:{(26,1),(30,1),(60,1),(104,1)}
        41:{1,2,4,7}:{(26,1),(31,1),(57,1),(60,1)}
        42:{1,3,5,6}:{(27,1),(33,1),(58,1),(62,1),(63,1),(158,1),(169,1)}
        43:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(34,1),(62,1),(63,1),(64,1),(77,1),(107,1),(110,1),(120,1),(125,1)}
        44:{1,3,5,6}:{(29,1),(30,1),(35,1),(63,1),(64,1),(65,1)}
        45:{1,3,4,6}:{(30,1),(31,1),(60,1),(64,1),(65,1),(106,1)}
        46:{1,3,4,5,7}:{(31,1),(61,1),(65,1),(66,1),(73,1),(113,1),(119,1),(153,1),(164,1),(193,1)}
        47:{1,3,4,7}:{(33,1),(58,1),(68,1),(72,1)}
        48:{1,2,3,5,7}:{(32,1),(35,1),(59,1),(69,1),(70,1),(71,1),(116,1),(119,1),(155,1),(167,1),(196,1)}
        49:{1,2,4,6,7}:{(32,1),(36,1),(60,1),(67,1),(69,1),(70,1),(75,1),(120,1),(199,1)}
        50:{1,2,5,7}:{(33,1),(37,1),(62,1),(68,1),(71,1)}
        51:{3,5,7}:{(34,1),(38,1),(63,1),(72,1)}
        52:{1,4,7}:{(35,1),(64,1),(72,1)}
        53:{1,3,5,7}:{(36,1),(65,1),(70,1),(73,1),(74,1),(76,1),(119,1)}
        54:{2,3,6,7}:{(37,1),(38,1),(71,1),(75,1),(168,1)}
        55:{3,4,6,7}:{(38,1),(39,1),(72,1),(75,1),(76,1),(123,1)}
        56:{1,4,5,7}:{(39,1),(76,1),(77,1)}
        57:{2,3,4,7}:{(41,1),(79,1),(80,1),(92,1),(176,1)}
        58:{1,3,4,6}:{(42,1),(47,1),(78,1),(81,1),(86,1)}
        59:{1,2,3,5,6}:{(40,1),(44,1),(48,1),(82,1),(83,1),(85,1),(94,1),(129,1),(131,1),(134,1),(146,1),(177,1),(179,1),(186,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(45,1),(79,1),(83,1)}
        61:{1,2,4,5,7}:{(41,1),(46,1),(80,1),(83,1),(84,1),(128,1),(136,1),(176,1)}
        62:{1,2,5,6}:{(42,1),(50,1),(81,1),(85,1),(177,1),(186,1)}
        63:{3,5,6}:{(43,1),(51,1),(86,1),(134,1),(146,1)}
        64:{1,4,6}:{(44,1),(52,1),(86,1),(87,1)}
        65:{1,3,5}:{(45,1),(83,1),(87,1),(134,1)}
        66:{1,3,4,6}:{(46,1),(84,1),(88,1),(97,1),(146,1),(175,1),(184,1)}
        67:{2,3,4,6,7}:{(49,1),(79,1),(90,1),(92,1),(130,1),(141,1),(146,1),(176,1),(185,1)}
        68:{1,2,4,7}:{(47,1),(50,1),(81,1),(91,1),(95,1)}
        69:{1,2,4,7}:{(48,1),(52,1),(82,1),(92,1),(95,1),(176,1),(204,1)}
        70:{1,2,5,7}:{(49,1),(53,1),(83,1),(90,1),(94,1),(99,1),(206,1)}
        71:{2,3,5,7}:{(50,1),(51,1),(54,1),(85,1),(91,1),(95,1),(99,1)}
        72:{3,4,7}:{(51,1),(52,1),(86,1),(95,1)}
        73:{1,4,5,7}:{(52,1),(53,1),(87,1),(96,1),(97,1)}
        74:{1,3,5,6}:{(53,1),(94,1),(97,1),(100,1),(146,1)}
        75:{2,4,6,7}:{(54,1),(55,1),(95,1),(99,1),(148,1)}
        76:{3,5,7}:{(55,1),(56,1),(99,1),(100,1)}
        77:{1,4,5,6}:{(56,1),(97,1),(100,1)}
        78:{1,3,4,5}:{(58,1),(102,1),(111,1),(158,1),(189,1)}
        79:{2,3,4,6}:{(57,1),(60,1),(103,1),(104,1),(106,1),(154,1)}
        80:{2,3,5,7}:{(57,1),(61,1),(103,1),(104,1),(119,1)}
        81:{1,2,4,6}:{(58,1),(62,1),(68,1),(102,1),(105,1),(110,1)}
        82:{1,2,4,6}:{(59,1),(64,1),(69,1),(106,1),(107,1),(110,1),(154,1),(192,1)}
        83:{1,2,5}:{(60,1),(65,1),(103,1)}
        84:{1,2,4,6}:{(61,1),(66,1),(104,1),(108,1),(154,1)}
        85:{2,3,5,6}:{(62,1),(63,1),(71,1),(105,1),(110,1),(125,1),(157,1),(168,1)}
        86:{3,4,6}:{(63,1),(64,1),(72,1),(110,1),(111,1)}
        87:{1,4,5}:{(64,1),(65,1),(111,1)}
        88:{1,3,5,6}:{(65,1),(66,1),(108,1),(112,1),(113,1),(159,1),(197,1)}
        89:{1,3,4,6,7}:{(66,1),(109,1),(113,1),(124,1),(170,1),(193,1),(199,1)}
        90:{2,3,5,7}:{(67,1),(70,1),(103,1),(114,1),(115,1),(119,1),(198,1)}
        91:{2,3,7}:{(68,1),(105,1)}
        92:{3,4,7}:{(69,1),(106,1),(119,1)}
        93:{1,2,4,5,7}:{(69,1),(70,1),(73,1),(107,1),(114,1),(119,1),(120,1),(122,1),(164,1),(167,1)}
        94:{1,2,5,6}:{(70,1),(74,1),(115,1),(120,1),(125,1),(197,1)}
        95:{2,4,7}:{(71,1),(72,1),(110,1)}
        96:{3,4,5,7}:{(72,1),(73,1),(76,1),(111,1),(119,1),(122,1),(123,1)}
        97:{1,4,6}:{(73,1),(74,1),(123,1)}
        98:{1,3,5,6,7}:{(74,1),(113,1),(121,1),(124,1),(126,1),(170,1)}
        99:{2,5,7}:{(75,1),(76,1),(125,1)}
       100:{3,5,6}:{(76,1),(77,1),(123,1),(125,1)}
       101:{1,4,5,6,7}:{(77,1),(124,1),(126,1)}
       102:{1,2,4,5}:{(78,1),(81,1),(127,1),(137,1),(172,1),(177,1)}
       103:{2,3,5}:{(79,1),(83,1),(128,1),(134,1)}
       104:{2,3,6}:{(80,1),(84,1),(146,1)}
       105:{2,3,6}:{(81,1),(91,1),(127,1)}
       106:{3,4,6}:{(82,1),(92,1),(134,1),(146,1)}
       107:{1,2,4,5}:{(82,1),(83,1),(87,1),(128,1),(134,1),(137,1),(174,1),(177,1)}
       108:{1,2,5,6}:{(83,1),(84,1),(88,1),(129,1),(136,1)}
       109:{1,2,4,6,7}:{(84,1),(89,1),(130,1),(136,1),(176,1)}
       110:{2,4,6}:{(85,1),(86,1),(95,1),(137,1)}
       111:{3,4,5}:{(86,1),(87,1),(134,1),(137,1)}
       112:{1,4,5,6}:{(87,1),(88,1),(97,1),(138,1),(139,1)}
       113:{1,3,5,7}:{(88,1),(89,1),(136,1),(139,1),(180,1),(206,1)}
       114:{2,4,5,7}:{(90,1),(128,1),(140,1),(141,1),(176,1)}
       115:{2,3,5,6}:{(90,1),(94,1),(141,1),(146,1),(182,1)}
       116:{1,2,3,7}:{(91,1),(131,1),(143,1),(209,1)}
       117:{2,3,4,7}:{(91,1),(92,1),(95,1),(132,1),(143,1),(144,1)}
       118:{1,3,4,7}:{(92,1),(133,1),(143,1),(145,1),(204,1),(209,1)}
       119:{3,5,7}:{(92,1),(93,1),(134,1),(146,1)}
       120:{1,2,4,6}:{(93,1),(94,1),(97,1),(141,1),(146,1),(148,1),(184,1),(186,1)}
       121:{1,2,5,6,7}:{(94,1),(98,1),(136,1),(142,1),(147,1),(150,1),(206,1)}
       122:{2,4,5,7}:{(95,1),(96,1),(99,1),(137,1),(144,1),(148,1)}
       123:{3,4,6}:{(96,1),(97,1),(100,1),(146,1),(148,1)}
       124:{1,4,6,7}:{(97,1),(98,1),(139,1),(149,1)}
       125:{2,5,6}:{(99,1),(100,1),(148,1)}
       126:{3,5,6,7}:{(100,1),(101,1),(149,1),(150,1)}
       127:{2,3,5}:{(102,1),(105,1),(152,1)}
       128:{2,4,5}:{(103,1),(153,1),(154,1)}
       129:{2,3,5,6}:{(103,1),(104,1),(108,1),(154,1),(155,1),(159,1)}
       130:{2,3,6,7}:{(104,1),(109,1),(155,1),(170,1)}
       131:{1,2,3,6}:{(105,1),(116,1),(151,1),(156,1),(207,1)}
       132:{2,3,4,6}:{(105,1),(106,1),(110,1),(117,1),(152,1),(156,1),(157,1),(168,1)}
       133:{1,3,4,6}:{(106,1),(118,1),(156,1),(158,1),(169,1),(189,1),(192,1),(207,1)}
       134:{3,5}:{(106,1),(107,1)}
       135:{1,2,4,5,6}:{(107,1),(108,1),(112,1),(120,1),(154,1),(159,1),(160,1),(161,1),(163,1),(192,1),(194,1),(197,1)}
       136:{1,2,5,7}:{(108,1),(109,1),(113,1),(155,1)}
       137:{2,4,5}:{(110,1),(111,1),(157,1)}
       138:{3,4,5,6}:{(111,1),(112,1),(123,1),(159,1),(161,1),(162,1)}
       139:{1,4,5,7}:{(112,1),(113,1),(124,1),(162,1)}
       140:{3,4,5,7}:{(114,1),(119,1),(153,1),(164,1),(165,1),(193,1),(198,1)}
       141:{2,4,6}:{(114,1),(115,1),(165,1)}
       142:{2,3,5,6,7}:{(115,1),(121,1),(155,1),(166,1),(170,1),(198,1)}
       143:{1,2,4,7}:{(116,1),(117,1),(118,1),(156,1),(167,1)}
       144:{2,3,5,7}:{(117,1),(119,1),(122,1),(157,1),(167,1),(168,1)}
       145:{1,3,5,7}:{(118,1),(119,1),(158,1),(164,1),(167,1),(169,1)}
       146:{3,6}:{(119,1),(120,1)}
       147:{1,2,4,6,7}:{(120,1),(121,1),(124,1),(160,1),(166,1),(170,1),(171,1),(199,1),(200,1)}
       148:{2,4,6}:{(122,1),(123,1),(125,1),(168,1)}
       149:{3,4,6,7}:{(123,1),(124,1),(126,1),(162,1),(170,1),(171,1)}
       150:{2,5,6,7}:{(125,1),(126,1),(171,1)}
       151:{1,2,3,5}:{(127,1),(131,1),(172,1),(177,1),(201,1)}
       152:{2,3,4}:{(127,1),(172,1)}
       153:{3,4,5}:{(128,1),(134,1),(174,1),(175,1)}
       154:{2,4,6}:{(128,1),(129,1),(175,1),(176,1)}
       155:{2,3,5,7}:{(129,1),(130,1),(136,1),(176,1),(180,1)}
       156:{1,2,4,6}:{(131,1),(132,1),(133,1),(143,1),(172,1),(177,1),(186,1)}
       157:{2,3,5}:{(132,1),(134,1),(137,1),(177,1)}
       158:{1,3,5}:{(133,1),(134,1),(174,1),(177,1)}
       159:{3,5,6}:{(134,1),(135,1),(146,1),(175,1),(180,1)}
       160:{1,2,4,5,7}:{(135,1),(136,1),(139,1),(147,1),(176,1),(180,1),(181,1),(183,1),(204,1),(205,1),(206,1)}
       161:{2,4,5,6}:{(137,1),(138,1),(148,1),(178,1),(181,1)}
       162:{3,4,5,7}:{(138,1),(139,1),(149,1),(180,1),(181,1)}
       163:{2,4,5,6}:{(141,1),(182,1),(183,1)}
       164:{1,4,5,7}:{(140,1),(145,1),(174,1),(184,1),(204,1),(206,1)}
       165:{3,4,6}:{(140,1),(141,1),(146,1),(182,1),(184,1)}
       166:{2,4,6,7}:{(141,1),(142,1),(176,1),(183,1),(185,1)}
       167:{1,2,5,7}:{(143,1),(144,1),(145,1),(177,1),(186,1)}
       168:{2,3,6}:{(144,1),(146,1),(148,1),(186,1)}
       169:{1,3,6}:{(145,1),(146,1),(184,1),(186,1)}
       170:{3,6,7}:{(146,1),(147,1),(180,1)}
       171:{2,4,6,7}:{(148,1),(149,1),(150,1),(181,1),(187,1)}
       172:{1,2,4}:{(151,1),(152,1),(189,1)}
       173:{2,3,4,5}:{(152,1),(153,1),(157,1),(190,1),(191,1)}
       174:{1,4,5}:{(153,1),(158,1),(192,1)}
       175:{3,4,6}:{(153,1),(154,1),(159,1),(192,1),(193,1)}
       176:{2,4,7}:{(154,1),(155,1),(193,1)}
       177:{1,2,5}:{(156,1),(157,1),(158,1)}
       178:{2,3,5,6}:{(157,1),(159,1),(161,1),(168,1),(191,1),(194,1),(195,1)}
       179:{1,3,5,6}:{(158,1),(159,1),(169,1),(192,1),(194,1),(196,1),(197,1),(207,1)}
       180:{3,5,7}:{(159,1),(160,1),(170,1),(193,1)}
       181:{2,4,5,7}:{(161,1),(162,1),(171,1),(195,1)}
       182:{3,5,6}:{(163,1),(165,1),(197,1),(198,1)}
       183:{2,4,5,7}:{(163,1),(166,1),(198,1)}
       184:{1,4,6}:{(164,1),(165,1),(169,1),(197,1)}
       185:{3,4,6,7}:{(165,1),(166,1),(170,1),(193,1),(198,1),(199,1)}
       186:{1,2,6}:{(167,1),(168,1),(169,1)}
       187:{2,3,6,7}:{(168,1),(170,1),(171,1),(195,1),(200,1)}
       188:{1,3,6,7}:{(169,1),(170,1),(196,1),(199,1),(200,1)}
       189:{1,3,4}:{(172,1),(201,1)}
       190:{1,2,4,5}:{(172,1),(173,1),(174,1),(177,1),(201,1),(202,1)}
       191:{2,3,4,6}:{(173,1),(175,1),(178,1),(202,1),(203,1)}
       192:{1,4,6}:{(174,1),(175,1),(179,1),(204,1)}
       193:{3,4,7}:{(175,1),(176,1),(180,1),(204,1)}
       194:{1,2,5,6}:{(177,1),(178,1),(179,1),(186,1),(202,1),(205,1)}
       195:{2,3,5,7}:{(178,1),(180,1),(181,1),(187,1),(203,1),(205,1)}
       196:{1,3,5,7}:{(179,1),(180,1),(188,1),(204,1),(205,1),(206,1),(209,1)}
       197:{1,5,6}:{(182,1),(184,1),(206,1)}
       198:{3,5,7}:{(182,1),(183,1),(185,1),(206,1)}
       199:{1,4,6,7}:{(184,1),(185,1),(188,1),(204,1),(206,1)}
       200:{1,2,6,7}:{(186,1),(187,1),(188,1),(205,1)}
       201:{1,3,5}:{(189,1),(190,1),(207,1)}
       202:{1,2,4,6}:{(190,1),(191,1),(192,1),(194,1),(207,1),(208,1)}
       203:{2,3,4,7}:{(191,1),(193,1),(195,1),(208,1)}
       204:{1,4,7}:{(192,1),(193,1),(196,1)}
       205:{1,2,5,7}:{(194,1),(195,1),(196,1),(200,1),(208,1)}
       206:{1,5,7}:{(197,1),(198,1),(199,1)}
       207:{1,3,6}:{(201,1),(202,1),(209,1)}
       208:{1,2,4,7}:{(202,1),(203,1),(204,1),(205,1),(209,1)}
       209:{1,3,7}:{(207,1),(208,1)}

1207 :   0:{3,5,6,7}:{(2,1),(4,1),(6,1),(28,1),(37,1),(45,1)}
         1:{3,4,5,7}:{(8,1),(9,1),(10,1),(32,1),(41,1),(45,1),(51,1),(84,1),(97,1),(162,1),(164,1)}
         2:{2,5,6,7}:{(0,1),(11,1),(67,1),(79,1)}
         3:{2,3,4,7}:{(13,1),(14,1),(15,1),(77,1),(83,1),(115,1),(166,1),(196,1)}
         4:{1,5,6,7}:{(0,1),(16,1),(53,1),(78,1)}
         5:{1,3,4,7}:{(18,1),(19,1),(20,1),(64,1),(83,1),(126,1),(174,1),(200,1)}
         6:{4,6,7}:{(0,1),(21,1)}
         7:{4,5,6}:{(21,1),(23,1),(140,1)}
         8:{3,4,6}:{(1,1),(23,1),(24,1),(25,1),(82,1),(140,1)}
         9:{1,4,5,7}:{(1,1),(18,1),(24,1),(60,1),(73,1),(78,1),(114,1),(126,1)}
        10:{2,4,5,7}:{(1,1),(13,1),(25,1),(61,1),(74,1),(79,1),(115,1),(127,1)}
        11:{2,4,6,7}:{(2,1),(6,1),(27,1),(28,1)}
        12:{2,4,5,6}:{(7,1),(27,1),(29,1),(49,1),(89,1)}
        13:{2,3,5,7}:{(3,1),(10,1),(30,1),(31,1),(33,1),(51,1),(106,1),(152,1),(204,1)}
        14:{2,3,4,6}:{(3,1),(30,1),(33,1),(34,1),(89,1),(113,1),(147,1),(151,1),(187,1)}
        15:{1,2,4,7}:{(3,1),(31,1),(34,1),(35,1),(92,1),(109,1)}
        16:{1,4,6,7}:{(4,1),(6,1),(36,1),(37,1)}
        17:{1,4,5,6}:{(7,1),(36,1),(38,1),(48,1),(101,1)}
        18:{1,3,5,7}:{(5,1),(9,1),(39,1),(40,1),(42,1),(51,1),(93,1),(142,1),(206,1)}
        19:{1,3,4,6}:{(5,1),(39,1),(42,1),(43,1),(101,1),(113,1),(157,1),(161,1),(193,1)}
        20:{1,2,4,7}:{(5,1),(40,1),(43,1),(44,1),(96,1),(105,1)}
        21:{4,5,7}:{(6,1),(7,1),(45,1),(162,1)}
        22:{3,4,6,7}:{(6,1),(8,1),(28,1),(37,1),(45,1),(46,1),(47,1),(84,1),(97,1),(111,1),(162,1)}
        23:{3,5,6}:{(7,1),(8,1),(45,1),(48,1),(49,1)}
        24:{1,4,6}:{(8,1),(9,1),(39,1),(48,1)}
        25:{2,4,6}:{(8,1),(10,1),(30,1),(49,1)}
        26:{1,2,4,5,7}:{(9,1),(10,1),(31,1),(40,1),(50,1),(51,1),(92,1),(94,1),(105,1),(107,1),(110,1),(143,1),(149,1),(153,1),(159,1),(162,1),(164,1),(185,1),(191,1),(204,1),(206,1)}
        27:{2,4,5,7}:{(11,1),(12,1),(21,1),(52,1),(79,1),(115,1)}
        28:{3,6,7}:{(11,1),(52,1),(53,1)}
        29:{3,5,6}:{(12,1),(52,1),(55,1),(56,1)}
        30:{2,3,6}:{(13,1),(25,1),(58,1),(82,1),(208,1)}
        31:{1,2,5,7}:{(13,1),(15,1),(58,1),(59,1),(62,1),(134,1),(173,1)}
        32:{3,4,5}:{(55,1),(60,1),(61,1),(123,1)}
        33:{2,3,5}:{(14,1),(61,1),(62,1),(123,1),(141,1),(199,1)}
        34:{1,2,4,6}:{(14,1),(15,1),(58,1),(62,1),(63,1),(121,1),(124,1)}
        35:{1,3,7}:{(15,1),(63,1),(137,1),(166,1)}
        36:{1,4,5,7}:{(16,1),(17,1),(21,1),(65,1),(78,1),(126,1)}
        37:{3,6,7}:{(16,1),(65,1),(67,1)}
        38:{3,5,6}:{(17,1),(65,1),(68,1),(70,1)}
        39:{1,3,6}:{(18,1),(24,1),(71,1),(82,1),(209,1)}
        40:{1,2,5,7}:{(18,1),(20,1),(71,1),(72,1),(75,1),(122,1),(165,1)}
        41:{3,4,5}:{(68,1),(73,1),(74,1),(135,1)}
        42:{1,3,5}:{(19,1),(73,1),(75,1),(135,1),(141,1),(203,1)}
        43:{1,2,4,6}:{(19,1),(20,1),(71,1),(75,1),(76,1),(133,1),(136,1)}
        44:{2,3,7}:{(20,1),(76,1),(125,1),(174,1)}
        45:{3,5,7}:{(21,1),(22,1),(23,1),(78,1),(79,1)}
        46:{1,4,6,7}:{(22,1),(24,1),(53,1),(66,1),(78,1),(114,1),(126,1)}
        47:{2,4,6,7}:{(22,1),(25,1),(54,1),(67,1),(79,1),(115,1),(127,1)}
        48:{1,5,6}:{(23,1),(24,1),(78,1)}
        49:{2,5,6}:{(23,1),(25,1),(79,1)}
        50:{1,2,4,6}:{(24,1),(25,1),(26,1),(58,1),(71,1),(81,1),(82,1),(121,1),(133,1),(140,1),(198,1),(202,1),(208,1),(209,1)}
        51:{3,5,7}:{(26,1),(82,1),(83,1),(123,1),(135,1),(141,1),(166,1),(174,1)}
        52:{3,5,7}:{(27,1),(28,1),(29,1),(84,1),(85,1)}
        53:{1,6,7}:{(28,1),(85,1)}
        54:{2,3,6,7}:{(28,1),(30,1),(47,1),(86,1),(87,1),(111,1),(152,1)}
        55:{3,4,6}:{(29,1),(32,1),(84,1),(88,1),(89,1),(147,1)}
        56:{1,5,6}:{(29,1),(85,1),(88,1)}
        57:{2,3,5,6}:{(29,1),(30,1),(33,1),(49,1),(86,1),(89,1),(90,1),(112,1),(147,1)}
        58:{1,2,6}:{(30,1),(31,1),(91,1)}
        59:{1,3,5,7}:{(31,1),(35,1),(51,1),(91,1),(92,1),(95,1),(149,1),(160,1),(189,1),(206,1)}
        60:{1,4,5}:{(32,1),(88,1),(93,1)}
        61:{2,4,5}:{(32,1),(33,1),(89,1),(164,1)}
        62:{1,2,5}:{(33,1),(34,1),(95,1),(149,1)}
        63:{1,3,6}:{(34,1),(35,1),(95,1),(147,1)}
        64:{1,3,4}:{(93,1),(96,1),(151,1)}
        65:{3,5,7}:{(36,1),(37,1),(38,1),(97,1),(99,1)}
        66:{1,3,6,7}:{(37,1),(39,1),(46,1),(98,1),(100,1),(111,1),(142,1)}
        67:{2,6,7}:{(37,1),(99,1)}
        68:{3,4,6}:{(38,1),(41,1),(97,1),(101,1),(102,1),(157,1)}
        69:{1,3,5,6}:{(38,1),(39,1),(42,1),(48,1),(98,1),(101,1),(103,1),(112,1),(157,1)}
        70:{2,5,6}:{(38,1),(99,1),(102,1)}
        71:{1,2,6}:{(39,1),(40,1),(104,1)}
        72:{2,3,5,7}:{(40,1),(44,1),(51,1),(104,1),(105,1),(108,1),(150,1),(159,1),(183,1),(204,1)}
        73:{1,4,5}:{(41,1),(42,1),(101,1),(164,1)}
        74:{2,4,5}:{(41,1),(102,1),(106,1)}
        75:{1,2,5}:{(42,1),(43,1),(108,1),(159,1)}
        76:{2,3,6}:{(43,1),(44,1),(108,1),(157,1)}
        77:{2,3,4}:{(106,1),(109,1),(161,1)}
        78:{1,5,7}:{(45,1),(46,1),(48,1)}
        79:{2,5,7}:{(45,1),(47,1),(49,1)}
        80:{1,2,4,6,7}:{(46,1),(47,1),(50,1),(87,1),(100,1),(110,1),(111,1),(143,1),(145,1),(153,1),(155,1),(162,1)}
        81:{1,2,5,6}:{(48,1),(49,1),(50,1),(110,1),(112,1),(149,1),(159,1),(186,1),(192,1)}
        82:{3,6}:{(50,1),(51,1)}
        83:{3,4,7}:{(51,1),(92,1),(105,1),(113,1),(151,1),(161,1),(162,1)}
        84:{3,4,7}:{(52,1),(55,1),(114,1),(115,1),(166,1)}
        85:{1,5,7}:{(52,1),(53,1),(56,1),(114,1)}
        86:{2,3,5,7}:{(52,1),(54,1),(57,1),(79,1),(115,1),(116,1),(138,1),(166,1)}
        87:{1,2,6,7}:{(53,1),(54,1),(58,1),(116,1),(117,1),(173,1),(208,1)}
        88:{1,4,6}:{(55,1),(56,1),(60,1),(114,1),(118,1)}
        89:{2,4,6}:{(55,1),(57,1),(61,1),(115,1),(140,1)}
        90:{1,2,5,6}:{(56,1),(57,1),(58,1),(62,1),(116,1),(119,1),(120,1),(199,1),(208,1)}
        91:{1,3,6}:{(58,1),(59,1),(82,1),(121,1),(209,1)}
        92:{1,4,7}:{(59,1),(83,1),(121,1),(124,1),(180,1)}
        93:{1,3,5}:{(60,1),(64,1),(118,1),(122,1),(123,1)}
        94:{1,2,4,5}:{(60,1),(61,1),(62,1),(119,1),(122,1),(123,1),(124,1),(171,1),(172,1),(199,1)}
        95:{1,3,5}:{(62,1),(63,1),(123,1),(124,1)}
        96:{1,2,4}:{(64,1),(122,1),(125,1),(172,1)}
        97:{3,4,7}:{(65,1),(68,1),(126,1),(127,1),(174,1)}
        98:{1,3,5,7}:{(65,1),(66,1),(69,1),(78,1),(126,1),(128,1),(138,1),(174,1)}
        99:{2,5,7}:{(65,1),(67,1),(70,1),(127,1)}
       100:{1,2,6,7}:{(66,1),(67,1),(71,1),(128,1),(129,1),(165,1),(209,1)}
       101:{1,4,6}:{(68,1),(69,1),(73,1),(126,1),(140,1)}
       102:{2,4,6}:{(68,1),(70,1),(74,1),(127,1),(130,1)}
       103:{1,2,5,6}:{(69,1),(70,1),(71,1),(75,1),(128,1),(131,1),(132,1),(203,1),(209,1)}
       104:{2,3,6}:{(71,1),(72,1),(82,1),(133,1),(208,1)}
       105:{2,4,7}:{(72,1),(83,1),(133,1),(136,1),(172,1)}
       106:{2,3,5}:{(74,1),(77,1),(130,1),(134,1),(135,1)}
       107:{1,2,4,5}:{(73,1),(74,1),(75,1),(131,1),(134,1),(135,1),(136,1),(179,1),(180,1),(203,1)}
       108:{2,3,5}:{(75,1),(76,1),(135,1),(136,1)}
       109:{1,2,4}:{(77,1),(134,1),(137,1),(180,1)}
       110:{1,2,5,7}:{(78,1),(79,1),(80,1),(81,1),(138,1),(168,1),(176,1)}
       111:{3,6,7}:{(80,1),(82,1),(138,1),(166,1),(174,1)}
       112:{3,5,6}:{(81,1),(82,1),(138,1),(140,1),(141,1)}
       113:{3,4,6}:{(82,1),(83,1),(121,1),(133,1),(140,1),(141,1)}
       114:{1,4,7}:{(84,1),(85,1),(88,1),(142,1)}
       115:{2,4,7}:{(84,1),(86,1),(89,1),(162,1)}
       116:{1,2,5,7}:{(85,1),(86,1),(87,1),(90,1),(143,1),(144,1),(204,1)}
       117:{1,3,6,7}:{(87,1),(91,1),(111,1),(144,1),(145,1),(189,1),(205,1)}
       118:{1,3,6}:{(88,1),(93,1),(142,1),(146,1),(147,1)}
       119:{1,2,4,6}:{(88,1),(89,1),(90,1),(94,1),(143,1),(146,1),(147,1),(148,1),(187,1)}
       120:{1,3,5,6}:{(90,1),(91,1),(95,1),(112,1),(144,1),(147,1),(148,1),(149,1),(186,1),(188,1),(205,1)}
       121:{1,4,6}:{(91,1),(92,1),(113,1),(149,1)}
       122:{1,2,5}:{(93,1),(96,1),(146,1),(150,1)}
       123:{3,5}:{(94,1),(147,1),(151,1)}
       124:{1,4}:{(95,1),(151,1)}
       125:{2,3}:{(96,1)}
       126:{1,4,7}:{(97,1),(98,1),(101,1),(162,1)}
       127:{2,4,7}:{(97,1),(99,1),(102,1),(152,1)}
       128:{1,2,5,7}:{(98,1),(99,1),(100,1),(103,1),(153,1),(154,1),(206,1)}
       129:{2,3,6,7}:{(100,1),(104,1),(111,1),(154,1),(155,1),(183,1),(207,1)}
       130:{2,3,6}:{(102,1),(106,1),(152,1),(156,1),(157,1)}
       131:{1,2,4,6}:{(101,1),(102,1),(103,1),(107,1),(153,1),(156,1),(157,1),(158,1),(193,1)}
       132:{2,3,5,6}:{(103,1),(104,1),(108,1),(112,1),(154,1),(157,1),(158,1),(159,1),(192,1),(194,1),(207,1)}
       133:{2,4,6}:{(104,1),(105,1),(113,1),(159,1)}
       134:{1,2,5}:{(106,1),(109,1),(156,1),(160,1)}
       135:{3,5}:{(107,1),(157,1),(161,1)}
       136:{2,4}:{(108,1),(161,1)}
       137:{1,3}:{(109,1)}
       138:{3,5,7}:{(110,1),(111,1),(112,1),(162,1)}
       139:{3,4,6,7}:{(111,1),(113,1),(145,1),(155,1),(162,1),(163,1),(184,1),(190,1),(195,1),(205,1),(207,1)}
       140:{4,6}:{(112,1),(162,1),(164,1)}
       141:{3,5}:{(113,1),(149,1),(159,1),(164,1)}
       142:{1,3,7}:{(114,1),(118,1),(165,1),(166,1)}
       143:{1,2,4,7}:{(114,1),(115,1),(116,1),(119,1),(165,1),(166,1),(167,1),(196,1)}
       144:{1,3,5,7}:{(116,1),(117,1),(120,1),(138,1),(166,1),(167,1),(168,1),(197,1)}
       145:{1,4,6,7}:{(117,1),(121,1),(139,1),(167,1),(168,1),(198,1),(200,1),(209,1)}
       146:{1,2,6}:{(118,1),(122,1),(165,1),(169,1)}
       147:{3,6}:{(119,1),(123,1),(166,1)}
       148:{1,4,6}:{(120,1),(124,1),(140,1),(167,1),(170,1),(171,1)}
       149:{1,5}:{(121,1),(141,1)}
       150:{2,3,5}:{(122,1),(123,1),(125,1),(169,1),(172,1),(199,1)}
       151:{3,4}:{(123,1),(124,1),(172,1)}
       152:{2,3,7}:{(127,1),(130,1),(173,1),(174,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(128,1),(131,1),(173,1),(174,1),(175,1),(200,1)}
       154:{2,3,5,7}:{(128,1),(129,1),(132,1),(138,1),(174,1),(175,1),(176,1),(201,1)}
       155:{2,4,6,7}:{(129,1),(133,1),(139,1),(175,1),(176,1),(196,1),(202,1),(208,1)}
       156:{1,2,6}:{(130,1),(134,1),(173,1),(177,1)}
       157:{3,6}:{(131,1),(135,1),(174,1)}
       158:{2,4,6}:{(132,1),(136,1),(140,1),(175,1),(178,1),(179,1)}
       159:{2,5}:{(133,1),(141,1)}
       160:{1,3,5}:{(134,1),(135,1),(137,1),(177,1),(180,1),(203,1)}
       161:{3,4}:{(135,1),(136,1),(180,1)}
       162:{4,7}:{(138,1),(140,1)}
       163:{3,5,7}:{(139,1),(141,1),(168,1),(176,1),(181,1),(182,1)}
       164:{4,5}:{(140,1),(141,1)}
       165:{1,2,7}:{(142,1),(146,1),(183,1)}
       166:{3,7}:{(143,1),(147,1)}
       167:{1,4,7}:{(144,1),(148,1),(162,1),(184,1)}
       168:{1,5,7}:{(145,1),(149,1),(163,1),(186,1)}
       169:{2,3,6}:{(146,1),(147,1),(150,1),(183,1),(187,1)}
       170:{3,4,6}:{(147,1),(148,1),(151,1),(184,1),(187,1),(188,1),(205,1)}
       171:{1,4,5}:{(148,1),(149,1),(164,1),(188,1)}
       172:{2,4}:{(150,1),(151,1)}
       173:{1,2,7}:{(152,1),(156,1),(189,1)}
       174:{3,7}:{(153,1),(157,1)}
       175:{2,4,7}:{(154,1),(158,1),(162,1),(190,1)}
       176:{2,5,7}:{(155,1),(159,1),(163,1),(192,1)}
       177:{1,3,6}:{(156,1),(157,1),(160,1),(189,1),(193,1)}
       178:{3,4,6}:{(157,1),(158,1),(161,1),(190,1),(193,1),(194,1),(207,1)}
       179:{2,4,5}:{(158,1),(159,1),(164,1),(194,1)}
       180:{1,4}:{(160,1),(161,1)}
       181:{4,5,7}:{(162,1),(163,1),(164,1),(195,1)}
       182:{3,5,6}:{(163,1),(186,1),(192,1),(195,1),(205,1),(207,1)}
       183:{2,3,7}:{(165,1),(166,1),(169,1),(196,1)}
       184:{3,4,7}:{(166,1),(167,1),(170,1),(196,1),(197,1)}
       185:{1,4,5,7}:{(167,1),(168,1),(171,1),(181,1),(197,1),(198,1)}
       186:{1,5,6}:{(168,1),(182,1),(198,1),(209,1)}
       187:{2,4,6}:{(169,1),(170,1),(172,1),(196,1),(199,1),(208,1)}
       188:{3,5}:{(170,1),(171,1),(199,1)}
       189:{1,3,7}:{(173,1),(174,1),(177,1),(200,1)}
       190:{3,4,7}:{(174,1),(175,1),(178,1),(200,1),(201,1)}
       191:{2,4,5,7}:{(175,1),(176,1),(179,1),(181,1),(201,1),(202,1)}
       192:{2,5,6}:{(176,1),(182,1),(202,1),(208,1)}
       193:{1,4,6}:{(177,1),(178,1),(180,1),(200,1),(203,1),(209,1)}
       194:{3,5}:{(178,1),(179,1),(203,1)}
       195:{4,6}:{(181,1),(182,1)}
       196:{2,4,7}:{(183,1),(184,1),(187,1),(204,1)}
       197:{3,5,7}:{(184,1),(185,1),(188,1),(204,1),(205,1)}
       198:{1,4,6}:{(185,1),(186,1),(195,1),(205,1)}
       199:{2,5}:{(187,1),(188,1)}
       200:{1,4,7}:{(189,1),(190,1),(193,1),(206,1)}
       201:{3,5,7}:{(190,1),(191,1),(194,1),(206,1),(207,1)}
       202:{2,4,6}:{(191,1),(192,1),(195,1),(207,1)}
       203:{1,5}:{(193,1),(194,1)}
       204:{2,5,7}:{(196,1),(197,1),(199,1),(208,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{1,5,7}:{(200,1),(201,1),(203,1),(209,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{2,6}:{(204,1),(205,1)}
       209:{1,6}:{(206,1),(207,1)}

1208 :   0:{1,2,3,5,7}:{(2,1),(4,1),(6,1),(7,1),(27,1),(29,1),(33,1),(35,1),(38,1),(41,1)}
         1:{3,4,5,7}:{(8,1),(9,1),(10,1),(38,1),(46,1),(84,1),(94,1),(101,1),(151,1),(163,1),(169,1)}
         2:{1,2,3,7}:{(11,1),(12,1),(177,1),(192,1),(219,1)}
         3:{2,3,4,7}:{(11,1),(13,1),(14,1),(19,1),(116,1),(127,1),(177,1)}
         4:{1,2,3,7}:{(15,1),(16,1),(181,1),(188,1),(224,1)}
         5:{1,3,4,7}:{(15,1),(17,1),(18,1),(19,1),(114,1),(128,1),(188,1)}
         6:{1,2,4,7}:{(0,1),(19,1),(21,1),(52,1),(60,1)}
         7:{1,2,3,6}:{(0,1),(21,1),(50,1),(58,1),(66,1)}
         8:{2,4,5,7}:{(1,1),(13,1),(22,1),(55,1),(70,1),(116,1),(130,1),(193,1)}
         9:{1,4,5,7}:{(1,1),(17,1),(23,1),(63,1),(72,1),(118,1),(128,1),(182,1)}
        10:{3,4,6}:{(1,1),(22,1),(23,1),(25,1),(66,1),(136,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(26,1),(27,1),(28,1),(162,1)}
        12:{1,2,3,6}:{(2,1),(28,1),(29,1),(147,1),(205,1)}
        13:{2,3,5,7}:{(3,1),(8,1),(27,1),(30,1),(31,1),(38,1),(161,1),(212,1)}
        14:{2,3,4,6}:{(3,1),(28,1),(30,1),(31,1),(39,1),(81,1),(83,1),(147,1)}
        15:{1,2,4,7}:{(4,1),(5,1),(32,1),(33,1),(34,1),(150,1)}
        16:{1,2,3,6}:{(4,1),(34,1),(35,1),(159,1),(213,1)}
        17:{1,3,5,7}:{(5,1),(9,1),(33,1),(36,1),(37,1),(38,1),(148,1),(203,1)}
        18:{1,3,4,6}:{(5,1),(34,1),(36,1),(37,1),(39,1),(91,1),(93,1),(159,1)}
        19:{3,4,7}:{(6,1),(38,1),(39,1),(81,1),(91,1),(169,1)}
        20:{1,2,4,5,7}:{(6,1),(8,1),(9,1),(27,1),(33,1),(38,1),(40,1),(41,1),(75,1),(80,1),(85,1),(90,1),(101,1),(102,1),(146,1),(158,1),(169,1)}
        21:{1,2,4,6}:{(6,1),(7,1),(39,1),(41,1)}
        22:{2,4,6}:{(8,1),(10,1),(30,1),(43,1)}
        23:{1,4,6}:{(9,1),(10,1),(36,1),(45,1)}
        24:{3,4,6,7}:{(10,1),(42,1),(44,1),(46,1),(97,1),(99,1),(151,1),(163,1),(165,1),(166,1),(169,1)}
        25:{3,5,6}:{(10,1),(43,1),(45,1),(46,1),(47,1)}
        26:{1,3,4,7}:{(11,1),(19,1),(48,1),(49,1),(126,1),(174,1),(177,1)}
        27:{1,2,5,7}:{(11,1),(13,1),(48,1),(50,1),(51,1),(191,1),(224,1)}
        28:{1,2,4,6}:{(11,1),(12,1),(14,1),(49,1),(50,1),(51,1),(52,1)}
        29:{1,2,3,5}:{(12,1),(51,1),(52,1),(113,1),(180,1),(181,1)}
        30:{2,3,6}:{(13,1),(22,1),(50,1),(66,1)}
        31:{2,3,5}:{(14,1),(51,1),(55,1),(67,1),(113,1)}
        32:{2,3,4,7}:{(15,1),(19,1),(56,1),(57,1),(115,1),(185,1),(188,1)}
        33:{1,2,5,7}:{(15,1),(17,1),(56,1),(58,1),(59,1),(180,1),(219,1)}
        34:{1,2,4,6}:{(15,1),(16,1),(18,1),(57,1),(58,1),(59,1),(60,1)}
        35:{1,2,3,5}:{(16,1),(59,1),(60,1),(125,1),(191,1),(192,1)}
        36:{1,3,6}:{(17,1),(23,1),(58,1),(66,1)}
        37:{1,3,5}:{(18,1),(59,1),(63,1),(67,1),(125,1)}
        38:{3,5,7}:{(19,1),(20,1),(66,1),(67,1),(113,1),(125,1),(177,1),(188,1)}
        39:{3,4,6}:{(19,1),(21,1),(66,1),(67,1),(136,1)}
        40:{1,2,4,6}:{(20,1),(22,1),(23,1),(50,1),(58,1),(66,1),(69,1),(107,1),(119,1),(136,1)}
        41:{1,2,5}:{(21,1),(67,1)}
        42:{2,4,6,7}:{(22,1),(24,1),(53,1),(70,1),(116,1),(193,1),(195,1)}
        43:{2,5,6}:{(22,1),(25,1),(70,1)}
        44:{1,4,6,7}:{(23,1),(24,1),(61,1),(72,1),(128,1),(182,1),(194,1)}
        45:{1,5,6}:{(23,1),(25,1),(72,1)}
        46:{3,5,7}:{(24,1),(25,1),(70,1),(72,1),(74,1)}
        47:{4,5,6}:{(25,1),(74,1),(136,1)}
        48:{1,3,5,7}:{(26,1),(27,1),(38,1),(75,1),(76,1),(77,1),(160,1),(211,1)}
        49:{1,3,4,6}:{(26,1),(28,1),(39,1),(76,1),(77,1),(81,1),(144,1),(147,1)}
        50:{1,2,6}:{(27,1),(30,1),(76,1)}
        51:{1,2,5}:{(28,1),(31,1),(77,1)}
        52:{1,2,4}:{(29,1),(81,1)}
        53:{2,3,6,7}:{(30,1),(42,1),(78,1),(82,1),(99,1),(165,1),(212,1)}
        54:{2,3,5,6}:{(30,1),(31,1),(43,1),(79,1),(82,1),(83,1),(100,1),(104,1),(147,1)}
        55:{2,4,5}:{(31,1),(83,1),(84,1),(101,1)}
        56:{2,3,5,7}:{(32,1),(33,1),(38,1),(85,1),(86,1),(87,1),(149,1),(204,1)}
        57:{2,3,4,6}:{(32,1),(34,1),(39,1),(86,1),(87,1),(91,1),(156,1),(159,1)}
        58:{1,2,6}:{(33,1),(36,1),(86,1)}
        59:{1,2,5}:{(34,1),(37,1),(87,1)}
        60:{1,2,4}:{(35,1),(91,1)}
        61:{1,3,6,7}:{(36,1),(44,1),(88,1),(92,1),(99,1),(166,1),(203,1)}
        62:{1,3,5,6}:{(36,1),(37,1),(45,1),(89,1),(92,1),(93,1),(100,1),(106,1),(159,1)}
        63:{1,4,5}:{(37,1),(93,1),(94,1),(101,1)}
        64:{3,5,6,7}:{(46,1),(95,1),(96,1),(97,1),(165,1),(166,1)}
        65:{3,4,5,7}:{(38,1),(75,1),(85,1),(98,1),(101,1),(145,1),(157,1),(167,1),(169,1),(201,1),(209,1)}
        66:{3,6}:{(38,1),(40,1)}
        67:{3,5}:{(39,1),(41,1),(101,1)}
        68:{1,2,4,6,7}:{(40,1),(42,1),(44,1),(78,1),(88,1),(99,1),(102,1),(141,1),(146,1),(153,1),(158,1),(169,1)}
        69:{1,2,5,6}:{(40,1),(41,1),(43,1),(45,1),(100,1),(102,1),(142,1),(154,1)}
        70:{2,5,7}:{(42,1),(43,1),(46,1)}
        71:{2,4,5,6}:{(43,1),(47,1),(83,1),(103,1),(104,1)}
        72:{1,5,7}:{(44,1),(45,1),(46,1)}
        73:{1,4,5,6}:{(45,1),(47,1),(93,1),(105,1),(106,1)}
        74:{4,5,7}:{(46,1),(47,1),(97,1),(169,1)}
        75:{1,4,5,7}:{(48,1),(65,1),(107,1),(110,1),(172,1),(174,1),(187,1),(223,1)}
        76:{1,3,6}:{(48,1),(50,1),(66,1),(107,1)}
        77:{1,3,5}:{(49,1),(51,1),(67,1),(110,1),(113,1)}
        78:{1,2,6,7}:{(50,1),(53,1),(108,1),(111,1),(194,1),(224,1),(229,1)}
        79:{1,2,5,6}:{(50,1),(51,1),(54,1),(109,1),(111,1),(112,1),(138,1),(217,1)}
        80:{1,2,4,5}:{(51,1),(52,1),(55,1),(110,1),(112,1),(113,1),(118,1),(176,1),(180,1)}
        81:{3,4}:{(52,1),(113,1)}
        82:{2,3,5,7}:{(53,1),(54,1),(70,1),(111,1),(116,1),(135,1),(137,1),(177,1)}
        83:{2,4,6}:{(54,1),(55,1),(116,1),(117,1),(136,1)}
        84:{3,4,5}:{(55,1),(113,1),(117,1),(118,1)}
        85:{2,4,5,7}:{(56,1),(65,1),(119,1),(122,1),(176,1),(183,1),(185,1),(218,1)}
        86:{2,3,6}:{(56,1),(58,1),(66,1),(119,1)}
        87:{2,3,5}:{(57,1),(59,1),(67,1),(122,1),(125,1)}
        88:{1,2,6,7}:{(58,1),(61,1),(120,1),(123,1),(195,1),(219,1),(230,1)}
        89:{1,2,5,6}:{(58,1),(59,1),(62,1),(121,1),(123,1),(124,1),(140,1),(222,1)}
        90:{1,2,4,5}:{(59,1),(60,1),(63,1),(122,1),(124,1),(125,1),(130,1),(187,1),(191,1)}
        91:{3,4}:{(60,1),(125,1)}
        92:{1,3,5,7}:{(61,1),(62,1),(72,1),(123,1),(128,1),(135,1),(139,1),(188,1)}
        93:{1,4,6}:{(62,1),(63,1),(128,1),(129,1),(136,1)}
        94:{3,4,5}:{(63,1),(125,1),(129,1),(130,1)}
        95:{2,5,6,7}:{(64,1),(70,1),(131,1),(195,1)}
        96:{1,5,6,7}:{(64,1),(72,1),(132,1),(194,1)}
        97:{4,6,7}:{(64,1),(74,1)}
        98:{3,4,6}:{(65,1),(66,1),(107,1),(119,1),(134,1),(136,1)}
        99:{3,6,7}:{(66,1),(68,1),(135,1),(177,1),(188,1)}
       100:{3,5,6}:{(66,1),(67,1),(69,1),(135,1),(136,1)}
       101:{4,5}:{(67,1),(136,1)}
       102:{1,2,5,7}:{(68,1),(69,1),(70,1),(72,1),(135,1),(172,1),(183,1)}
       103:{2,4,5,7}:{(70,1),(71,1),(74,1),(116,1),(131,1),(137,1)}
       104:{3,5,6}:{(71,1),(117,1),(137,1),(138,1)}
       105:{1,4,5,7}:{(72,1),(73,1),(74,1),(128,1),(132,1),(139,1)}
       106:{3,5,6}:{(73,1),(129,1),(139,1),(140,1)}
       107:{1,4,6}:{(75,1),(76,1),(98,1),(142,1)}
       108:{1,3,6,7}:{(76,1),(78,1),(99,1),(141,1),(143,1),(211,1),(225,1)}
       109:{1,3,5,6}:{(76,1),(77,1),(79,1),(100,1),(142,1),(143,1),(144,1),(147,1),(200,1)}
       110:{1,4,5}:{(77,1),(101,1),(144,1),(145,1)}
       111:{1,2,5,7}:{(78,1),(79,1),(82,1),(143,1),(146,1),(170,1),(226,1)}
       112:{1,2,4,6}:{(79,1),(80,1),(83,1),(144,1),(146,1),(147,1),(152,1),(202,1),(205,1)}
       113:{3,5}:{(80,1),(81,1),(147,1)}
       114:{1,3,4}:{(81,1),(148,1),(150,1)}
       115:{2,3,4}:{(81,1),(149,1),(150,1)}
       116:{2,4,7}:{(82,1),(83,1),(151,1),(169,1)}
       117:{3,4,6}:{(83,1),(84,1),(104,1),(147,1),(151,1),(152,1)}
       118:{1,4,5}:{(84,1),(148,1),(152,1)}
       119:{2,4,6}:{(85,1),(86,1),(98,1),(154,1)}
       120:{2,3,6,7}:{(86,1),(88,1),(99,1),(153,1),(155,1),(204,1),(227,1)}
       121:{2,3,5,6}:{(86,1),(87,1),(89,1),(100,1),(154,1),(155,1),(156,1),(159,1),(208,1)}
       122:{2,4,5}:{(87,1),(101,1),(156,1),(157,1)}
       123:{1,2,5,7}:{(88,1),(89,1),(92,1),(155,1),(158,1),(171,1),(228,1)}
       124:{1,2,4,6}:{(89,1),(90,1),(93,1),(156,1),(158,1),(159,1),(164,1),(210,1),(213,1)}
       125:{3,5}:{(90,1),(91,1),(159,1)}
       126:{1,3,4}:{(91,1),(160,1),(162,1)}
       127:{2,3,4}:{(91,1),(161,1),(162,1)}
       128:{1,4,7}:{(92,1),(93,1),(163,1),(169,1)}
       129:{3,4,6}:{(93,1),(94,1),(106,1),(159,1),(163,1),(164,1)}
       130:{2,4,5}:{(94,1),(161,1),(164,1)}
       131:{2,4,6,7}:{(95,1),(97,1),(103,1),(165,1)}
       132:{1,4,6,7}:{(96,1),(97,1),(105,1),(166,1)}
       133:{3,4,6,7}:{(98,1),(99,1),(141,1),(153,1),(167,1),(169,1),(201,1),(209,1),(214,1),(225,1),(227,1)}
       134:{3,5,6}:{(98,1),(142,1),(154,1),(167,1),(168,1)}
       135:{3,5,7}:{(99,1),(100,1),(102,1),(169,1)}
       136:{4,6}:{(100,1),(101,1),(169,1)}
       137:{3,5,7}:{(103,1),(104,1),(151,1),(165,1),(170,1)}
       138:{1,5,6}:{(104,1),(152,1),(170,1)}
       139:{3,5,7}:{(105,1),(106,1),(163,1),(166,1),(171,1)}
       140:{2,5,6}:{(106,1),(164,1),(171,1)}
       141:{1,4,6,7}:{(107,1),(108,1),(133,1),(172,1),(174,1),(223,1),(230,1)}
       142:{1,5,6}:{(107,1),(134,1),(172,1)}
       143:{1,3,5,7}:{(108,1),(109,1),(111,1),(135,1),(172,1),(174,1),(177,1),(216,1)}
       144:{1,4,6}:{(109,1),(110,1),(136,1),(174,1),(175,1)}
       145:{3,4,5}:{(110,1),(113,1),(175,1),(176,1)}
       146:{1,2,4,7}:{(111,1),(112,1),(116,1),(174,1),(177,1),(182,1),(218,1),(219,1)}
       147:{3,6}:{(112,1),(113,1),(177,1)}
       148:{1,3,5}:{(113,1),(114,1),(118,1),(178,1),(180,1)}
       149:{2,3,5}:{(113,1),(115,1),(176,1),(179,1),(180,1)}
       150:{1,2,4}:{(114,1),(115,1),(180,1),(181,1)}
       151:{3,4,7}:{(116,1),(117,1),(137,1),(177,1),(182,1)}
       152:{1,4,6}:{(117,1),(118,1),(138,1),(178,1),(182,1)}
       153:{2,4,6,7}:{(119,1),(120,1),(133,1),(183,1),(185,1),(218,1),(229,1)}
       154:{2,5,6}:{(119,1),(134,1),(183,1)}
       155:{2,3,5,7}:{(120,1),(121,1),(123,1),(135,1),(183,1),(185,1),(188,1),(221,1)}
       156:{2,4,6}:{(121,1),(122,1),(136,1),(185,1),(186,1)}
       157:{3,4,5}:{(122,1),(125,1),(186,1),(187,1)}
       158:{1,2,4,7}:{(123,1),(124,1),(128,1),(185,1),(188,1),(193,1),(223,1),(224,1)}
       159:{3,6}:{(124,1),(125,1),(188,1)}
       160:{1,3,5}:{(125,1),(126,1),(187,1),(189,1),(191,1)}
       161:{2,3,5}:{(125,1),(127,1),(130,1),(190,1),(191,1)}
       162:{1,2,4}:{(126,1),(127,1),(191,1),(192,1)}
       163:{3,4,7}:{(128,1),(129,1),(139,1),(188,1),(193,1)}
       164:{2,4,6}:{(129,1),(130,1),(140,1),(190,1),(193,1)}
       165:{3,6,7}:{(131,1),(137,1),(194,1)}
       166:{3,6,7}:{(132,1),(139,1),(195,1)}
       167:{3,5,7}:{(133,1),(134,1),(172,1),(183,1),(197,1)}
       168:{4,5,6}:{(134,1),(136,1),(197,1)}
       169:{4,7}:{(135,1),(136,1)}
       170:{1,5,7}:{(137,1),(138,1),(182,1),(194,1)}
       171:{2,5,7}:{(139,1),(140,1),(193,1),(195,1)}
       172:{1,5,7}:{(141,1),(142,1),(167,1)}
       173:{1,4,5,6}:{(142,1),(144,1),(168,1),(199,1),(200,1)}
       174:{1,4,7}:{(143,1),(144,1),(169,1),(201,1)}
       175:{3,4,6}:{(144,1),(145,1),(147,1),(200,1),(201,1),(202,1)}
       176:{2,4,5}:{(145,1),(149,1),(202,1)}
       177:{3,7}:{(146,1),(147,1)}
       178:{1,3,6}:{(147,1),(148,1),(152,1),(203,1),(205,1)}
       179:{2,3,6}:{(147,1),(149,1),(202,1),(204,1),(205,1)}
       180:{1,2,5}:{(148,1),(149,1),(150,1),(205,1)}
       181:{1,2,3}:{(150,1)}
       182:{1,4,7}:{(151,1),(152,1),(170,1),(203,1)}
       183:{2,5,7}:{(153,1),(154,1),(167,1)}
       184:{2,4,5,6}:{(154,1),(156,1),(168,1),(207,1),(208,1)}
       185:{2,4,7}:{(155,1),(156,1),(169,1),(209,1)}
       186:{3,4,6}:{(156,1),(157,1),(159,1),(208,1),(209,1),(210,1)}
       187:{1,4,5}:{(157,1),(160,1),(210,1)}
       188:{3,7}:{(158,1),(159,1)}
       189:{1,3,6}:{(159,1),(160,1),(210,1),(211,1),(213,1)}
       190:{2,3,6}:{(159,1),(161,1),(164,1),(212,1),(213,1)}
       191:{1,2,5}:{(160,1),(161,1),(162,1),(213,1)}
       192:{1,2,3}:{(162,1)}
       193:{2,4,7}:{(163,1),(164,1),(171,1),(212,1)}
       194:{1,6,7}:{(165,1),(170,1)}
       195:{2,6,7}:{(166,1),(171,1)}
       196:{3,5,6,7}:{(167,1),(198,1),(206,1),(214,1),(225,1),(227,1)}
       197:{4,5,7}:{(167,1),(168,1),(169,1),(214,1)}
       198:{1,5,6,7}:{(172,1),(196,1),(215,1),(230,1)}
       199:{1,4,5,7}:{(172,1),(173,1),(174,1),(197,1),(215,1),(216,1)}
       200:{3,5,6}:{(173,1),(175,1),(216,1),(217,1)}
       201:{3,4,7}:{(174,1),(175,1),(177,1),(216,1),(218,1)}
       202:{2,4,6}:{(175,1),(176,1),(179,1),(217,1),(218,1)}
       203:{1,3,7}:{(177,1),(178,1),(182,1),(219,1)}
       204:{2,3,7}:{(177,1),(179,1),(218,1),(219,1)}
       205:{1,2,6}:{(178,1),(179,1),(180,1),(219,1)}
       206:{2,5,6,7}:{(183,1),(196,1),(220,1),(229,1)}
       207:{2,4,5,7}:{(183,1),(184,1),(185,1),(197,1),(220,1),(221,1)}
       208:{3,5,6}:{(184,1),(186,1),(221,1),(222,1)}
       209:{3,4,7}:{(185,1),(186,1),(188,1),(221,1),(223,1)}
       210:{1,4,6}:{(186,1),(187,1),(189,1),(222,1),(223,1)}
       211:{1,3,7}:{(188,1),(189,1),(223,1),(224,1)}
       212:{2,3,7}:{(188,1),(190,1),(193,1),(224,1)}
       213:{1,2,6}:{(189,1),(190,1),(191,1),(224,1)}
       214:{4,6,7}:{(196,1),(197,1)}
       215:{1,4,6,7}:{(198,1),(199,1),(214,1),(225,1)}
       216:{3,5,7}:{(199,1),(200,1),(201,1),(225,1),(226,1)}
       217:{2,5,6}:{(200,1),(202,1),(226,1)}
       218:{2,4,7}:{(201,1),(202,1),(204,1),(226,1)}
       219:{1,2,7}:{(203,1),(204,1),(205,1)}
       220:{2,4,6,7}:{(206,1),(207,1),(214,1),(227,1)}
       221:{3,5,7}:{(207,1),(208,1),(209,1),(227,1),(228,1)}
       222:{1,5,6}:{(208,1),(210,1),(228,1)}
       223:{1,4,7}:{(209,1),(210,1),(211,1),(228,1)}
       224:{1,2,7}:{(211,1),(212,1),(213,1)}
       225:{3,6,7}:{(215,1),(216,1),(229,1)}
       226:{2,5,7}:{(216,1),(217,1),(218,1),(229,1)}
       227:{3,6,7}:{(220,1),(221,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(223,1),(230,1)}
       229:{2,6,7}:{(225,1),(226,1)}
       230:{1,6,7}:{(227,1),(228,1)}

1209 :   0:{1,2,3,5}:{(2,1),(4,1),(6,1),(8,1),(26,1),(29,1),(33,1),(38,1)}
         1:{3,4,5}:{(9,1),(10,1),(11,1),(38,1),(65,1)}
         2:{1,2,3}:{(12,1)}
         3:{2,3,4}:{(12,1),(13,1),(20,1)}
         4:{1,2,3}:{(14,1)}
         5:{1,3,4}:{(14,1),(15,1),(20,1)}
         6:{1,2,3,6}:{(0,1),(16,1),(17,1),(43,1),(46,1),(57,1)}
         7:{4,5,6}:{(18,1),(19,1),(79,1),(97,1)}
         8:{1,2,4}:{(0,1),(20,1)}
         9:{2,4,5}:{(1,1),(13,1),(22,1)}
        10:{1,4,5}:{(1,1),(15,1),(23,1)}
        11:{3,4,6}:{(1,1),(18,1),(22,1),(23,1),(24,1),(57,1),(79,1)}
        12:{1,2,4}:{(2,1),(3,1),(25,1),(26,1)}
        13:{2,3,5}:{(3,1),(9,1),(26,1),(27,1),(38,1)}
        14:{1,2,4}:{(4,1),(5,1),(28,1),(29,1)}
        15:{1,3,5}:{(5,1),(10,1),(29,1),(30,1),(38,1)}
        16:{1,2,3,7}:{(6,1),(32,1),(61,1),(64,1),(73,1)}
        17:{1,2,4,6}:{(6,1),(8,1),(31,1),(32,1),(33,1),(68,1)}
        18:{3,5,6}:{(7,1),(11,1),(34,1),(35,1),(36,1)}
        19:{4,5,7}:{(7,1),(36,1),(37,1),(91,1),(103,1)}
        20:{3,4}:{(8,1),(38,1)}
        21:{1,2,4,5}:{(8,1),(9,1),(10,1),(26,1),(29,1),(33,1),(38,1),(39,1),(59,1),(62,1),(65,1)}
        22:{2,4,6}:{(9,1),(11,1),(27,1),(34,1),(40,1)}
        23:{1,4,6}:{(10,1),(11,1),(30,1),(35,1),(41,1)}
        24:{3,4,7}:{(11,1),(36,1),(40,1),(41,1),(73,1),(91,1)}
        25:{1,3,4}:{(12,1),(20,1),(42,1)}
        26:{1,2,5}:{(12,1),(13,1),(42,1),(43,1)}
        27:{2,3,6}:{(13,1),(22,1),(43,1),(44,1),(57,1)}
        28:{2,3,4}:{(14,1),(20,1),(45,1)}
        29:{1,2,5}:{(14,1),(15,1),(45,1),(46,1)}
        30:{1,3,6}:{(15,1),(23,1),(46,1),(47,1),(57,1)}
        31:{3,4,6}:{(17,1),(20,1),(48,1),(49,1),(57,1),(79,1),(80,1)}
        32:{1,2,4,7}:{(16,1),(17,1),(48,1),(50,1)}
        33:{1,2,5}:{(17,1),(49,1)}
        34:{2,5,6}:{(18,1),(22,1),(52,1)}
        35:{1,5,6}:{(18,1),(23,1),(53,1)}
        36:{3,5,7}:{(18,1),(19,1),(24,1),(52,1),(53,1),(54,1)}
        37:{4,6,7}:{(19,1),(54,1),(55,1)}
        38:{3,5}:{(20,1),(21,1),(57,1)}
        39:{1,2,4,6}:{(21,1),(22,1),(23,1),(43,1),(46,1),(51,1),(57,1),(58,1),(74,1),(76,1),(79,1)}
        40:{2,4,7}:{(22,1),(24,1),(44,1),(52,1)}
        41:{1,4,7}:{(23,1),(24,1),(47,1),(53,1)}
        42:{1,3,5}:{(25,1),(26,1),(38,1),(59,1),(60,1)}
        43:{1,2,6}:{(26,1),(27,1),(60,1),(61,1)}
        44:{2,3,7}:{(27,1),(40,1),(61,1),(73,1)}
        45:{2,3,5}:{(28,1),(29,1),(38,1),(62,1),(63,1)}
        46:{1,2,6}:{(29,1),(30,1),(63,1),(64,1)}
        47:{1,3,7}:{(30,1),(41,1),(64,1),(73,1)}
        48:{3,4,7}:{(31,1),(32,1),(66,1),(73,1),(91,1)}
        49:{3,5}:{(31,1),(33,1),(65,1)}
        50:{1,2,5,7}:{(32,1),(33,1),(66,1),(68,1)}
        51:{1,2,5,6}:{(33,1),(34,1),(35,1),(39,1),(67,1),(68,1),(69,1),(85,1),(87,1)}
        52:{2,5,7}:{(34,1),(36,1),(40,1),(70,1)}
        53:{1,5,7}:{(35,1),(36,1),(41,1),(71,1)}
        54:{3,6,7}:{(36,1),(37,1),(70,1),(71,1)}
        55:{5,6,7}:{(37,1),(103,1)}
        56:{3,4,5}:{(38,1),(59,1),(62,1),(65,1),(72,1)}
        57:{3,6}:{(38,1),(39,1),(73,1)}
        58:{1,2,4,7}:{(39,1),(40,1),(41,1),(61,1),(64,1),(69,1),(73,1),(86,1),(88,1),(91,1)}
        59:{1,4,5}:{(42,1),(56,1),(74,1)}
        60:{1,3,6}:{(42,1),(43,1),(57,1),(74,1),(75,1)}
        61:{1,2,7}:{(43,1),(44,1),(75,1)}
        62:{2,4,5}:{(45,1),(56,1),(76,1)}
        63:{2,3,6}:{(45,1),(46,1),(57,1),(76,1),(77,1)}
        64:{1,2,7}:{(46,1),(47,1),(77,1)}
        65:{4,5}:{(49,1),(79,1)}
        66:{3,5,7}:{(48,1),(49,1),(50,1),(78,1),(80,1)}
        67:{3,5,6}:{(49,1),(51,1),(57,1),(79,1),(80,1),(81,1),(97,1)}
        68:{1,2,6}:{(50,1),(80,1)}
        69:{1,2,5,7}:{(51,1),(52,1),(53,1),(58,1),(81,1),(82,1),(94,1),(95,1)}
        70:{2,6,7}:{(52,1),(54,1)}
        71:{1,6,7}:{(53,1),(54,1)}
        72:{3,4,6}:{(56,1),(57,1),(74,1),(76,1),(79,1),(83,1),(84,1)}
        73:{3,7}:{(57,1),(58,1)}
        74:{1,4,6}:{(59,1),(60,1),(72,1),(85,1),(86,1)}
        75:{1,3,7}:{(60,1),(61,1),(73,1),(86,1)}
        76:{2,4,6}:{(62,1),(63,1),(72,1),(87,1),(88,1)}
        77:{2,3,7}:{(63,1),(64,1),(73,1),(88,1)}
        78:{4,5,7}:{(65,1),(66,1),(90,1),(91,1),(103,1)}
        79:{4,6}:{(65,1),(67,1),(91,1)}
        80:{3,6}:{(66,1),(68,1),(90,1)}
        81:{3,5,7}:{(67,1),(69,1),(73,1),(91,1),(92,1),(103,1)}
        82:{1,2,6,7}:{(68,1),(69,1),(70,1),(71,1),(92,1),(100,1),(101,1)}
        83:{3,5,6}:{(72,1),(85,1),(87,1),(89,1),(93,1)}
        84:{3,4,7}:{(72,1),(73,1),(86,1),(88,1),(91,1),(93,1)}
        85:{1,5,6}:{(74,1),(83,1),(94,1)}
        86:{1,4,7}:{(74,1),(75,1),(84,1),(94,1)}
        87:{2,5,6}:{(76,1),(83,1),(95,1)}
        88:{2,4,7}:{(76,1),(77,1),(84,1),(95,1)}
        89:{4,5,6}:{(79,1),(83,1),(96,1),(97,1)}
        90:{4,6}:{(78,1),(80,1),(97,1)}
        91:{4,7}:{(79,1),(81,1)}
        92:{3,6,7}:{(80,1),(81,1),(82,1),(98,1)}
        93:{3,5,7}:{(83,1),(84,1),(94,1),(95,1),(96,1),(99,1)}
        94:{1,5,7}:{(85,1),(86,1),(93,1),(100,1)}
        95:{2,5,7}:{(87,1),(88,1),(93,1),(101,1)}
        96:{4,5,7}:{(89,1),(91,1),(93,1),(102,1),(103,1)}
        97:{5,6}:{(90,1),(103,1)}
        98:{4,6,7}:{(90,1),(91,1),(92,1),(103,1)}
        99:{3,6,7}:{(93,1),(100,1),(101,1),(102,1)}
       100:{1,6,7}:{(94,1),(99,1)}
       101:{2,6,7}:{(95,1),(99,1)}
       102:{4,6,7}:{(96,1),(99,1),(104,1)}
       103:{5,7}:{(97,1),(98,1)}
       104:{5,6,7}:{(102,1),(103,1)}

1210 :  0:{3,4,5}:{(4,1),(5,1),(6,1),(31,1),(72,1)}
        1:{2,3,4}:{(7,1),(8,1),(44,1)}
        2:{1,3,4}:{(9,1),(10,1),(44,1)}
        3:{4,5,6}:{(12,1),(13,1),(63,1),(83,1)}
        4:{3,4,6}:{(0,1),(13,1),(14,1),(15,1),(16,1),(43,1),(63,1)}
        5:{1,4,5}:{(0,1),(9,1),(15,1)}
        6:{2,4,5}:{(0,1),(7,1),(16,1)}
        7:{2,3,5}:{(1,1),(6,1),(18,1),(19,1),(31,1)}
        8:{1,2,4}:{(1,1),(19,1),(20,1),(47,1)}
        9:{1,3,5}:{(2,1),(5,1),(21,1),(22,1),(31,1)}
       10:{1,2,4}:{(2,1),(22,1),(23,1),(50,1)}
       11:{5,6,7}:{(24,1),(81,1)}
       12:{4,5,7}:{(3,1),(24,1),(25,1),(71,1),(81,1)}
       13:{3,5,6}:{(3,1),(4,1),(25,1),(26,1),(27,1)}
       14:{3,4,7}:{(4,1),(25,1),(28,1),(29,1),(55,1),(71,1)}
       15:{1,4,6}:{(4,1),(5,1),(21,1),(26,1),(28,1)}
       16:{2,4,6}:{(4,1),(6,1),(18,1),(27,1),(29,1)}
       17:{1,2,4,5}:{(5,1),(6,1),(19,1),(22,1),(30,1),(31,1),(47,1),(50,1),(67,1),(69,1),(72,1)}
       18:{2,3,6}:{(7,1),(16,1),(32,1),(33,1),(43,1)}
       19:{1,2,5}:{(7,1),(8,1),(33,1),(34,1)}
       20:{1,3}:{(8,1)}
       21:{1,3,6}:{(9,1),(15,1),(35,1),(36,1),(43,1)}
       22:{1,2,5}:{(9,1),(10,1),(36,1),(37,1)}
       23:{2,3}:{(10,1)}
       24:{4,6,7}:{(11,1),(12,1),(38,1)}
       25:{3,5,7}:{(12,1),(13,1),(14,1),(38,1),(39,1),(40,1)}
       26:{1,5,6}:{(13,1),(15,1),(39,1)}
       27:{2,5,6}:{(13,1),(16,1),(40,1)}
       28:{1,4,7}:{(14,1),(15,1),(35,1),(39,1)}
       29:{2,4,7}:{(14,1),(16,1),(32,1),(40,1)}
       30:{1,2,4,6}:{(15,1),(16,1),(17,1),(33,1),(36,1),(41,1),(42,1),(43,1),(58,1),(60,1),(63,1)}
       31:{3,5}:{(17,1),(43,1),(44,1)}
       32:{2,3,7}:{(18,1),(29,1),(45,1),(55,1)}
       33:{1,2,6}:{(18,1),(19,1),(45,1),(46,1)}
       34:{1,3,5}:{(19,1),(20,1),(31,1),(46,1),(47,1),(67,1)}
       35:{1,3,7}:{(21,1),(28,1),(48,1),(55,1)}
       36:{1,2,6}:{(21,1),(22,1),(48,1),(49,1)}
       37:{2,3,5}:{(22,1),(23,1),(31,1),(49,1),(50,1),(69,1)}
       38:{3,6,7}:{(24,1),(25,1),(51,1),(52,1)}
       39:{1,5,7}:{(25,1),(26,1),(28,1),(51,1)}
       40:{2,5,7}:{(25,1),(27,1),(29,1),(52,1)}
       41:{1,2,5,6}:{(26,1),(27,1),(30,1),(53,1),(54,1),(67,1),(69,1),(79,1),(80,1)}
       42:{1,2,4,7}:{(28,1),(29,1),(30,1),(45,1),(48,1),(53,1),(55,1),(66,1),(68,1),(71,1)}
       43:{3,6}:{(30,1),(31,1),(55,1)}
       44:{3,4}:{(31,1),(47,1),(50,1)}
       45:{1,2,7}:{(32,1),(33,1),(57,1)}
       46:{1,3,6}:{(33,1),(34,1),(43,1),(57,1),(58,1)}
       47:{1,4}:{(34,1),(44,1)}
       48:{1,2,7}:{(35,1),(36,1),(59,1)}
       49:{2,3,6}:{(36,1),(37,1),(43,1),(59,1),(60,1)}
       50:{2,4}:{(37,1),(44,1)}
       51:{1,6,7}:{(38,1),(39,1)}
       52:{2,6,7}:{(38,1),(40,1)}
       53:{1,2,5,7}:{(39,1),(40,1),(41,1),(42,1),(61,1),(62,1),(74,1),(75,1)}
       54:{3,5,6}:{(41,1),(43,1),(62,1),(63,1),(65,1),(78,1),(83,1)}
       55:{3,7}:{(42,1),(43,1)}
       56:{3,4,6}:{(43,1),(44,1),(58,1),(60,1),(63,1),(64,1),(65,1),(78,1)}
       57:{1,3,7}:{(45,1),(46,1),(55,1),(66,1)}
       58:{1,4,6}:{(46,1),(47,1),(56,1),(66,1),(67,1),(79,1)}
       59:{2,3,7}:{(48,1),(49,1),(55,1),(68,1)}
       60:{2,4,6}:{(49,1),(50,1),(56,1),(68,1),(69,1),(80,1)}
       61:{1,2,6,7}:{(51,1),(52,1),(53,1),(70,1),(79,1),(80,1)}
       62:{3,5,7}:{(53,1),(54,1),(55,1),(70,1),(71,1),(81,1)}
       63:{4,6}:{(54,1),(71,1),(72,1)}
       64:{3,4,7}:{(55,1),(56,1),(66,1),(68,1),(71,1),(73,1)}
       65:{3,5}:{(56,1),(67,1),(69,1),(72,1)}
       66:{1,4,7}:{(57,1),(58,1),(64,1),(74,1)}
       67:{1,5}:{(58,1),(65,1)}
       68:{2,4,7}:{(59,1),(60,1),(64,1),(75,1)}
       69:{2,5}:{(60,1),(65,1)}
       70:{3,6,7}:{(61,1),(62,1),(76,1),(78,1)}
       71:{4,7}:{(62,1),(63,1)}
       72:{4,5}:{(63,1),(65,1)}
       73:{3,5,7}:{(64,1),(65,1),(74,1),(75,1),(77,1),(78,1)}
       74:{1,5,7}:{(66,1),(67,1),(73,1),(79,1)}
       75:{2,5,7}:{(68,1),(69,1),(73,1),(80,1)}
       76:{4,6,7}:{(70,1),(71,1),(81,1),(82,1)}
       77:{4,5,7}:{(71,1),(72,1),(73,1),(81,1),(82,1)}
       78:{3,6}:{(73,1),(79,1),(80,1),(82,1)}
       79:{1,6}:{(74,1),(78,1)}
       80:{2,6}:{(75,1),(78,1)}
       81:{5,7}:{(76,1),(83,1)}
       82:{4,6}:{(77,1),(78,1),(83,1)}
       83:{5,6}:{(81,1),(82,1)}

1211 :  0:{1,2,6,7}:{(3,1),(5,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(38,1),(39,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(17,1),(23,1),(24,1),(25,1),(38,1),(39,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{3,5,6}:{(1,1),(9,1),(10,1),(12,1),(26,1),(28,1),(45,1)}
        5:{1,2,5,7}:{(0,1),(1,1),(9,1),(11,1),(46,1),(47,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(12,1),(30,1),(31,1),(34,1)}
        7:{3,5}:{(2,1),(12,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(18,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(18,1),(20,1)}
       10:{4,6}:{(4,1),(17,1),(18,1)}
       11:{1,2,4,7}:{(5,1),(6,1),(18,1),(20,1),(40,1),(41,1),(43,1)}
       12:{3,6}:{(6,1),(7,1),(20,1)}
       13:{3,4}:{(7,1),(23,1),(24,1),(44,1)}
       14:{1,3,5}:{(7,1),(21,1),(23,1),(25,1),(38,1),(44,1),(54,1)}
       15:{2,3,5}:{(7,1),(22,1),(24,1),(25,1),(39,1),(44,1),(54,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,5}:{(10,1),(28,1),(58,1)}
       18:{4,7}:{(9,1),(10,1)}
       19:{3,4,6}:{(10,1),(12,1),(13,1),(28,1),(29,1),(30,1),(31,1),(45,1),(50,1),(58,1),(61,1)}
       20:{3,7}:{(11,1),(12,1)}
       21:{1,3,6}:{(12,1),(14,1),(30,1),(32,1),(34,1),(50,1)}
       22:{2,3,6}:{(12,1),(15,1),(31,1),(33,1),(34,1),(50,1)}
       23:{1,4}:{(13,1),(14,1),(58,1)}
       24:{2,4}:{(13,1),(15,1),(58,1)}
       25:{1,2,5}:{(14,1),(15,1),(34,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(18,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,5}:{(17,1),(19,1),(38,1),(39,1),(62,1)}
       29:{3,4,7}:{(18,1),(19,1),(20,1),(37,1),(40,1),(41,1),(55,1),(60,1)}
       30:{1,4,6}:{(19,1),(21,1),(23,1),(38,1),(40,1),(51,1)}
       31:{2,4,6}:{(19,1),(22,1),(24,1),(39,1),(41,1),(52,1)}
       32:{1,3,7}:{(20,1),(21,1),(40,1),(43,1),(55,1)}
       33:{2,3,7}:{(20,1),(22,1),(41,1),(43,1),(55,1)}
       34:{1,2,6}:{(21,1),(22,1),(25,1),(43,1)}
       35:{1,2,4}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(29,1),(45,1),(46,1),(47,1)}
       38:{1,5}:{(28,1),(30,1)}
       39:{2,5}:{(28,1),(31,1)}
       40:{1,4,7}:{(29,1),(30,1),(32,1),(46,1)}
       41:{2,4,7}:{(29,1),(31,1),(33,1),(47,1)}
       42:{1,2,4,6}:{(30,1),(31,1),(34,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       43:{1,2,7}:{(32,1),(33,1),(34,1)}
       44:{3}:{(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(40,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(41,1),(52,1)}
       48:{1,2,5}:{(38,1),(39,1),(42,1),(54,1),(62,1)}
       49:{1,2,4,7}:{(40,1),(41,1),(42,1),(43,1),(53,1),(55,1),(60,1)}
       50:{3,6}:{(42,1),(44,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,5}:{(48,1),(50,1),(58,1)}
       55:{3,7}:{(49,1),(50,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(54,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

1212 :   0:{3,5,6,7}:{(2,1),(3,1),(4,1),(28,1),(30,1),(31,1)}
         1:{3,4,5,7}:{(6,1),(7,1),(8,1),(31,1),(43,1),(44,1),(48,1),(82,1),(86,1),(146,1),(156,1)}
         2:{1,5,6,7}:{(0,1),(11,1),(56,1),(58,1)}
         3:{2,5,6,7}:{(0,1),(12,1),(54,1),(59,1)}
         4:{4,6,7}:{(0,1),(13,1)}
         5:{4,5,6}:{(13,1),(19,1),(128,1)}
         6:{3,4,6}:{(1,1),(19,1),(20,1),(21,1),(72,1),(128,1)}
         7:{1,4,5,7}:{(1,1),(16,1),(20,1),(58,1),(74,1),(78,1),(110,1),(114,1)}
         8:{2,4,5,7}:{(1,1),(18,1),(21,1),(59,1),(75,1),(79,1),(111,1),(115,1)}
         9:{1,3,4,7}:{(16,1),(23,1),(24,1),(73,1),(110,1),(130,1),(164,1),(196,1)}
        10:{2,3,4,7}:{(18,1),(25,1),(26,1),(73,1),(115,1),(131,1),(168,1),(199,1)}
        11:{1,4,6,7}:{(2,1),(4,1),(27,1),(28,1)}
        12:{2,4,6,7}:{(3,1),(4,1),(29,1),(30,1)}
        13:{4,5,7}:{(4,1),(5,1),(31,1),(146,1)}
        14:{3,4,6,7}:{(4,1),(6,1),(28,1),(30,1),(31,1),(32,1),(33,1),(82,1),(86,1),(91,1),(146,1)}
        15:{1,4,5,6}:{(5,1),(27,1),(34,1),(40,1),(92,1)}
        16:{1,3,5,7}:{(7,1),(9,1),(35,1),(36,1),(43,1),(45,1),(107,1),(142,1),(204,1)}
        17:{2,4,5,6}:{(5,1),(29,1),(37,1),(41,1),(98,1)}
        18:{2,3,5,7}:{(8,1),(10,1),(38,1),(39,1),(43,1),(49,1),(104,1),(138,1),(206,1)}
        19:{3,5,6}:{(5,1),(6,1),(31,1),(40,1),(41,1)}
        20:{1,4,6}:{(6,1),(7,1),(35,1),(40,1)}
        21:{2,4,6}:{(6,1),(8,1),(38,1),(41,1)}
        22:{1,2,4,5,7}:{(7,1),(8,1),(36,1),(39,1),(42,1),(43,1),(90,1),(96,1),(101,1),(105,1),(108,1),(139,1),(143,1),(146,1),(151,1),(155,1),(156,1),(185,1),(189,1),(204,1),(206,1)}
        23:{1,3,4,6}:{(9,1),(35,1),(45,1),(46,1),(92,1),(103,1),(149,1),(160,1),(192,1)}
        24:{1,2,4,7}:{(9,1),(36,1),(46,1),(47,1),(96,1),(157,1)}
        25:{2,3,4,6}:{(10,1),(38,1),(49,1),(50,1),(98,1),(103,1),(153,1),(162,1),(194,1)}
        26:{1,2,4,7}:{(10,1),(39,1),(50,1),(51,1),(101,1),(158,1)}
        27:{1,4,5,7}:{(11,1),(13,1),(15,1),(52,1),(58,1),(110,1)}
        28:{3,6,7}:{(11,1),(52,1),(54,1)}
        29:{2,4,5,7}:{(12,1),(13,1),(17,1),(55,1),(59,1),(115,1)}
        30:{3,6,7}:{(12,1),(55,1),(56,1)}
        31:{3,5,7}:{(13,1),(14,1),(19,1),(58,1),(59,1)}
        32:{1,4,6,7}:{(14,1),(20,1),(53,1),(56,1),(58,1),(110,1),(114,1)}
        33:{2,4,6,7}:{(14,1),(21,1),(54,1),(57,1),(59,1),(111,1),(115,1)}
        34:{3,5,6}:{(15,1),(52,1),(61,1),(63,1)}
        35:{1,3,6}:{(16,1),(20,1),(64,1),(72,1),(208,1)}
        36:{1,2,5,7}:{(16,1),(24,1),(64,1),(65,1),(76,1),(135,1),(167,1)}
        37:{3,5,6}:{(17,1),(55,1),(66,1),(67,1)}
        38:{2,3,6}:{(18,1),(21,1),(69,1),(72,1),(209,1)}
        39:{1,2,5,7}:{(18,1),(26,1),(69,1),(70,1),(80,1),(132,1),(163,1)}
        40:{1,5,6}:{(19,1),(20,1),(58,1)}
        41:{2,5,6}:{(19,1),(21,1),(59,1)}
        42:{1,2,4,6}:{(20,1),(21,1),(22,1),(64,1),(69,1),(71,1),(72,1),(123,1),(127,1),(128,1),(198,1),(201,1),(208,1),(209,1)}
        43:{3,5,7}:{(22,1),(72,1),(73,1),(129,1),(133,1),(136,1),(164,1),(168,1)}
        44:{3,4,5}:{(61,1),(74,1),(75,1),(133,1)}
        45:{1,3,5}:{(23,1),(74,1),(76,1),(129,1),(133,1),(202,1)}
        46:{1,2,4,6}:{(23,1),(24,1),(64,1),(76,1),(77,1),(123,1),(134,1)}
        47:{2,3,7}:{(24,1),(77,1),(164,1),(179,1)}
        48:{3,4,5}:{(66,1),(78,1),(79,1),(136,1)}
        49:{2,3,5}:{(25,1),(79,1),(80,1),(129,1),(136,1),(203,1)}
        50:{1,2,4,6}:{(25,1),(26,1),(69,1),(80,1),(81,1),(127,1),(137,1)}
        51:{1,3,7}:{(26,1),(81,1),(168,1),(180,1)}
        52:{3,5,7}:{(27,1),(28,1),(34,1),(82,1),(84,1)}
        53:{1,3,6,7}:{(28,1),(32,1),(35,1),(83,1),(85,1),(91,1),(142,1)}
        54:{2,6,7}:{(28,1),(84,1)}
        55:{3,5,7}:{(29,1),(30,1),(37,1),(86,1),(87,1)}
        56:{1,6,7}:{(30,1),(87,1)}
        57:{2,3,6,7}:{(30,1),(33,1),(38,1),(88,1),(89,1),(91,1),(138,1)}
        58:{1,5,7}:{(31,1),(32,1),(40,1)}
        59:{2,5,7}:{(31,1),(33,1),(41,1)}
        60:{1,2,4,6,7}:{(32,1),(33,1),(42,1),(85,1),(89,1),(90,1),(91,1),(139,1),(141,1),(143,1),(145,1),(146,1)}
        61:{3,4,6}:{(34,1),(44,1),(82,1),(92,1),(93,1),(149,1)}
        62:{1,3,5,6}:{(34,1),(35,1),(40,1),(45,1),(83,1),(92,1),(94,1),(102,1),(149,1)}
        63:{2,5,6}:{(34,1),(84,1),(93,1)}
        64:{1,2,6}:{(35,1),(36,1),(95,1)}
        65:{2,3,5,7}:{(36,1),(43,1),(47,1),(95,1),(96,1),(106,1),(151,1),(161,1),(187,1),(206,1)}
        66:{3,4,6}:{(37,1),(48,1),(86,1),(97,1),(98,1),(153,1)}
        67:{1,5,6}:{(37,1),(87,1),(97,1)}
        68:{2,3,5,6}:{(37,1),(38,1),(41,1),(49,1),(88,1),(98,1),(99,1),(102,1),(153,1)}
        69:{1,2,6}:{(38,1),(39,1),(100,1)}
        70:{1,3,5,7}:{(39,1),(43,1),(51,1),(100,1),(101,1),(109,1),(155,1),(159,1),(183,1),(204,1)}
        71:{1,2,5,6}:{(40,1),(41,1),(42,1),(90,1),(102,1),(151,1),(155,1),(186,1),(190,1)}
        72:{3,6}:{(42,1),(43,1)}
        73:{3,4,7}:{(43,1),(96,1),(101,1),(103,1),(146,1),(160,1),(162,1)}
        74:{1,4,5}:{(44,1),(45,1),(92,1),(156,1)}
        75:{2,4,5}:{(44,1),(93,1),(104,1)}
        76:{1,2,5}:{(45,1),(46,1),(106,1),(151,1)}
        77:{2,3,6}:{(46,1),(47,1),(106,1),(149,1)}
        78:{1,4,5}:{(48,1),(97,1),(107,1)}
        79:{2,4,5}:{(48,1),(49,1),(98,1),(156,1)}
        80:{1,2,5}:{(49,1),(50,1),(109,1),(155,1)}
        81:{1,3,6}:{(50,1),(51,1),(109,1),(153,1)}
        82:{3,4,7}:{(52,1),(61,1),(110,1),(111,1),(164,1)}
        83:{1,3,5,7}:{(52,1),(53,1),(58,1),(62,1),(110,1),(112,1),(118,1),(164,1)}
        84:{2,5,7}:{(52,1),(54,1),(63,1),(111,1)}
        85:{1,2,6,7}:{(53,1),(54,1),(64,1),(112,1),(113,1),(167,1),(208,1)}
        86:{3,4,7}:{(55,1),(66,1),(114,1),(115,1),(168,1)}
        87:{1,5,7}:{(55,1),(56,1),(67,1),(114,1)}
        88:{2,3,5,7}:{(55,1),(57,1),(59,1),(68,1),(115,1),(116,1),(118,1),(168,1)}
        89:{1,2,6,7}:{(56,1),(57,1),(69,1),(116,1),(117,1),(163,1),(209,1)}
        90:{1,2,5,7}:{(58,1),(59,1),(60,1),(71,1),(118,1),(166,1),(170,1)}
        91:{3,6,7}:{(60,1),(72,1),(118,1),(164,1),(168,1)}
        92:{1,4,6}:{(61,1),(62,1),(74,1),(110,1),(128,1)}
        93:{2,4,6}:{(61,1),(63,1),(75,1),(111,1),(120,1)}
        94:{1,2,5,6}:{(62,1),(63,1),(64,1),(76,1),(112,1),(121,1),(122,1),(202,1),(208,1)}
        95:{2,3,6}:{(64,1),(65,1),(72,1),(123,1),(209,1)}
        96:{2,4,7}:{(65,1),(73,1),(123,1),(134,1),(182,1)}
        97:{1,4,6}:{(66,1),(67,1),(78,1),(114,1),(124,1)}
        98:{2,4,6}:{(66,1),(68,1),(79,1),(115,1),(128,1)}
        99:{1,2,5,6}:{(67,1),(68,1),(69,1),(80,1),(116,1),(125,1),(126,1),(203,1),(209,1)}
       100:{1,3,6}:{(69,1),(70,1),(72,1),(127,1),(208,1)}
       101:{1,4,7}:{(70,1),(73,1),(127,1),(137,1),(181,1)}
       102:{3,5,6}:{(71,1),(72,1),(118,1),(128,1),(129,1)}
       103:{3,4,6}:{(72,1),(73,1),(123,1),(127,1),(128,1),(129,1)}
       104:{2,3,5}:{(75,1),(120,1),(131,1),(132,1),(133,1)}
       105:{1,2,4,5}:{(74,1),(75,1),(76,1),(121,1),(132,1),(133,1),(134,1),(175,1),(181,1),(202,1)}
       106:{2,3,5}:{(76,1),(77,1),(133,1),(134,1)}
       107:{1,3,5}:{(78,1),(124,1),(130,1),(135,1),(136,1)}
       108:{1,2,4,5}:{(78,1),(79,1),(80,1),(125,1),(135,1),(136,1),(137,1),(178,1),(182,1),(203,1)}
       109:{1,3,5}:{(80,1),(81,1),(136,1),(137,1)}
       110:{1,4,7}:{(82,1),(83,1),(92,1),(146,1)}
       111:{2,4,7}:{(82,1),(84,1),(93,1),(138,1)}
       112:{1,2,5,7}:{(83,1),(84,1),(85,1),(94,1),(139,1),(140,1),(204,1)}
       113:{2,3,6,7}:{(85,1),(91,1),(95,1),(140,1),(141,1),(187,1),(205,1)}
       114:{1,4,7}:{(86,1),(87,1),(97,1),(142,1)}
       115:{2,4,7}:{(86,1),(88,1),(98,1),(146,1)}
       116:{1,2,5,7}:{(87,1),(88,1),(89,1),(99,1),(143,1),(144,1),(206,1)}
       117:{1,3,6,7}:{(89,1),(91,1),(100,1),(144,1),(145,1),(183,1),(207,1)}
       118:{3,5,7}:{(90,1),(91,1),(102,1),(146,1)}
       119:{3,4,6,7}:{(91,1),(103,1),(141,1),(145,1),(146,1),(147,1),(184,1),(188,1),(191,1),(205,1),(207,1)}
       120:{2,3,6}:{(93,1),(104,1),(138,1),(148,1),(149,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(94,1),(105,1),(139,1),(148,1),(149,1),(150,1),(192,1)}
       122:{2,3,5,6}:{(94,1),(95,1),(102,1),(106,1),(140,1),(149,1),(150,1),(151,1),(186,1),(193,1),(205,1)}
       123:{2,4,6}:{(95,1),(96,1),(103,1),(151,1)}
       124:{1,3,6}:{(97,1),(107,1),(142,1),(152,1),(153,1)}
       125:{1,2,4,6}:{(97,1),(98,1),(99,1),(108,1),(143,1),(152,1),(153,1),(154,1),(194,1)}
       126:{1,3,5,6}:{(99,1),(100,1),(102,1),(109,1),(144,1),(153,1),(154,1),(155,1),(190,1),(195,1),(207,1)}
       127:{1,4,6}:{(100,1),(101,1),(103,1),(155,1)}
       128:{4,6}:{(102,1),(146,1),(156,1)}
       129:{3,5}:{(103,1),(151,1),(155,1),(156,1)}
       130:{1,3,4}:{(107,1),(157,1),(162,1)}
       131:{2,3,4}:{(104,1),(158,1),(160,1)}
       132:{1,2,5}:{(104,1),(148,1),(158,1),(159,1)}
       133:{3,5}:{(105,1),(149,1),(160,1)}
       134:{2,4}:{(106,1),(160,1)}
       135:{1,2,5}:{(107,1),(152,1),(157,1),(161,1)}
       136:{3,5}:{(108,1),(153,1),(162,1)}
       137:{1,4}:{(109,1),(162,1)}
       138:{2,3,7}:{(111,1),(120,1),(163,1),(164,1)}
       139:{1,2,4,7}:{(110,1),(111,1),(112,1),(121,1),(163,1),(164,1),(165,1),(196,1)}
       140:{2,3,5,7}:{(112,1),(113,1),(118,1),(122,1),(164,1),(165,1),(166,1),(197,1)}
       141:{2,4,6,7}:{(113,1),(119,1),(123,1),(165,1),(166,1),(198,1),(199,1),(209,1)}
       142:{1,3,7}:{(114,1),(124,1),(167,1),(168,1)}
       143:{1,2,4,7}:{(114,1),(115,1),(116,1),(125,1),(167,1),(168,1),(169,1),(199,1)}
       144:{1,3,5,7}:{(116,1),(117,1),(118,1),(126,1),(168,1),(169,1),(170,1),(200,1)}
       145:{1,4,6,7}:{(117,1),(119,1),(127,1),(169,1),(170,1),(196,1),(201,1),(208,1)}
       146:{4,7}:{(118,1),(128,1)}
       147:{3,5,7}:{(119,1),(129,1),(166,1),(170,1),(171,1),(172,1)}
       148:{1,2,6}:{(120,1),(132,1),(163,1),(173,1)}
       149:{3,6}:{(121,1),(133,1),(164,1)}
       150:{2,4,6}:{(122,1),(128,1),(134,1),(165,1),(174,1),(175,1)}
       151:{2,5}:{(123,1),(129,1)}
       152:{1,2,6}:{(124,1),(135,1),(167,1),(176,1)}
       153:{3,6}:{(125,1),(136,1),(168,1)}
       154:{1,4,6}:{(126,1),(128,1),(137,1),(169,1),(177,1),(178,1)}
       155:{1,5}:{(127,1),(129,1)}
       156:{4,5}:{(128,1),(129,1)}
       157:{1,2,4}:{(130,1),(135,1),(179,1),(182,1)}
       158:{1,2,4}:{(131,1),(132,1),(180,1),(181,1)}
       159:{1,3,5}:{(132,1),(133,1),(173,1),(180,1),(181,1),(202,1)}
       160:{3,4}:{(133,1),(134,1),(181,1)}
       161:{2,3,5}:{(135,1),(136,1),(176,1),(179,1),(182,1),(203,1)}
       162:{3,4}:{(136,1),(137,1),(182,1)}
       163:{1,2,7}:{(138,1),(148,1),(183,1)}
       164:{3,7}:{(139,1),(149,1)}
       165:{2,4,7}:{(140,1),(146,1),(150,1),(184,1)}
       166:{2,5,7}:{(141,1),(147,1),(151,1),(186,1)}
       167:{1,2,7}:{(142,1),(152,1),(187,1)}
       168:{3,7}:{(143,1),(153,1)}
       169:{1,4,7}:{(144,1),(146,1),(154,1),(188,1)}
       170:{1,5,7}:{(145,1),(147,1),(155,1),(190,1)}
       171:{4,5,7}:{(146,1),(147,1),(156,1),(191,1)}
       172:{3,5,6}:{(147,1),(186,1),(190,1),(191,1),(205,1),(207,1)}
       173:{1,3,6}:{(148,1),(149,1),(159,1),(183,1),(192,1)}
       174:{3,4,6}:{(149,1),(150,1),(160,1),(184,1),(192,1),(193,1),(205,1)}
       175:{2,4,5}:{(150,1),(151,1),(156,1),(193,1)}
       176:{2,3,6}:{(152,1),(153,1),(161,1),(187,1),(194,1)}
       177:{3,4,6}:{(153,1),(154,1),(162,1),(188,1),(194,1),(195,1),(207,1)}
       178:{1,4,5}:{(154,1),(155,1),(156,1),(195,1)}
       179:{2,3}:{(157,1)}
       180:{1,3}:{(158,1)}
       181:{1,4}:{(159,1),(160,1)}
       182:{2,4}:{(161,1),(162,1)}
       183:{1,3,7}:{(163,1),(164,1),(173,1),(196,1)}
       184:{3,4,7}:{(164,1),(165,1),(174,1),(196,1),(197,1)}
       185:{2,4,5,7}:{(165,1),(166,1),(171,1),(175,1),(197,1),(198,1)}
       186:{2,5,6}:{(166,1),(172,1),(198,1),(209,1)}
       187:{2,3,7}:{(167,1),(168,1),(176,1),(199,1)}
       188:{3,4,7}:{(168,1),(169,1),(177,1),(199,1),(200,1)}
       189:{1,4,5,7}:{(169,1),(170,1),(171,1),(178,1),(200,1),(201,1)}
       190:{1,5,6}:{(170,1),(172,1),(201,1),(208,1)}
       191:{4,6}:{(171,1),(172,1)}
       192:{1,4,6}:{(173,1),(174,1),(181,1),(196,1),(202,1),(208,1)}
       193:{3,5}:{(174,1),(175,1),(202,1)}
       194:{2,4,6}:{(176,1),(177,1),(182,1),(199,1),(203,1),(209,1)}
       195:{3,5}:{(177,1),(178,1),(203,1)}
       196:{1,4,7}:{(183,1),(184,1),(192,1),(204,1)}
       197:{3,5,7}:{(184,1),(185,1),(193,1),(204,1),(205,1)}
       198:{2,4,6}:{(185,1),(186,1),(191,1),(205,1)}
       199:{2,4,7}:{(187,1),(188,1),(194,1),(206,1)}
       200:{3,5,7}:{(188,1),(189,1),(195,1),(206,1),(207,1)}
       201:{1,4,6}:{(189,1),(190,1),(191,1),(207,1)}
       202:{1,5}:{(192,1),(193,1)}
       203:{2,5}:{(194,1),(195,1)}
       204:{1,5,7}:{(196,1),(197,1),(202,1),(208,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{2,5,7}:{(199,1),(200,1),(203,1),(209,1)}
       207:{3,6}:{(200,1),(201,1),(209,1)}
       208:{1,6}:{(204,1),(205,1)}
       209:{2,6}:{(206,1),(207,1)}

1213 :   0:{1,2,4,5,7}:{(1,1),(2,1),(10,1),(11,1),(12,1),(14,1),(36,1),(39,1),(40,1),(41,1),(65,1),(66,1),(67,1),(71,1),(99,1),(100,1)}
         1:{3,5,7}:{(0,1),(4,1),(7,1),(25,1),(84,1),(88,1)}
         2:{1,2,4,6}:{(0,1),(7,1),(8,1),(23,1),(24,1),(26,1),(29,1),(78,1),(79,1),(109,1),(110,1)}
         3:{1,2,4,6,7}:{(2,1),(9,1),(10,1),(30,1),(31,1),(33,1),(36,1),(67,1),(134,1)}
         4:{3,4,7}:{(1,1),(11,1),(12,1),(13,1),(36,1),(37,1),(103,1)}
         5:{1,3,5,7}:{(1,1),(11,1),(14,1),(15,1),(37,1),(39,1),(70,1),(100,1),(101,1),(104,1)}
         6:{2,3,5,7}:{(1,1),(12,1),(14,1),(16,1),(37,1),(40,1),(70,1),(99,1),(102,1),(105,1)}
         7:{3,6}:{(1,1),(2,1)}
         8:{1,2,5,6}:{(2,1),(10,1),(17,1),(39,1),(40,1),(60,1),(61,1)}
         9:{3,6,7}:{(3,1),(7,1),(21,1),(84,1),(137,1)}
        10:{1,2,5,7}:{(3,1),(8,1),(21,1),(47,1),(48,1),(136,1)}
        11:{1,4,7}:{(4,1),(5,1),(23,1),(87,1),(115,1)}
        12:{2,4,7}:{(4,1),(6,1),(24,1),(87,1),(116,1)}
        13:{3,4,6}:{(4,1),(7,1),(23,1),(24,1),(25,1),(29,1),(53,1),(87,1)}
        14:{1,2,5,7}:{(5,1),(6,1),(22,1),(26,1),(54,1),(114,1),(117,1)}
        15:{1,3,6}:{(5,1),(7,1),(23,1),(26,1),(53,1),(110,1)}
        16:{2,3,6}:{(6,1),(7,1),(24,1),(26,1),(53,1),(109,1)}
        17:{3,5,6}:{(7,1),(8,1),(21,1),(25,1),(29,1)}
        18:{3,4,6,7}:{(9,1),(13,1),(30,1),(31,1),(32,1),(36,1),(62,1),(63,1),(68,1),(69,1),(95,1),(96,1),(97,1),(119,1)}
        19:{1,3,6,7}:{(9,1),(15,1),(30,1),(33,1),(34,1),(63,1),(95,1),(101,1),(120,1)}
        20:{2,3,6,7}:{(9,1),(16,1),(31,1),(33,1),(35,1),(63,1),(96,1),(102,1),(121,1)}
        21:{3,5,7}:{(9,1),(10,1),(17,1),(36,1),(138,1)}
        22:{1,2,4,7}:{(11,1),(12,1),(14,1),(37,1),(38,1),(125,1)}
        23:{1,4,6}:{(11,1),(13,1),(15,1),(39,1)}
        24:{2,4,6}:{(12,1),(13,1),(16,1),(40,1)}
        25:{3,5}:{(13,1),(39,1),(40,1),(41,1)}
        26:{1,2,6}:{(14,1),(15,1),(16,1)}
        27:{1,3,5,6}:{(15,1),(17,1),(34,1),(39,1),(42,1),(43,1),(60,1),(70,1),(72,1),(74,1),(93,1),(95,1),(104,1),(120,1),(132,1),(138,1)}
        28:{2,3,5,6}:{(16,1),(17,1),(35,1),(40,1),(42,1),(44,1),(61,1),(70,1),(73,1),(74,1),(93,1),(96,1),(105,1),(121,1),(133,1),(138,1)}
        29:{4,6}:{(17,1),(36,1),(41,1)}
        30:{1,4,6,7}:{(18,1),(19,1),(23,1),(47,1),(51,1),(78,1),(86,1),(110,1),(127,1)}
        31:{2,4,6,7}:{(18,1),(20,1),(24,1),(48,1),(52,1),(79,1),(85,1),(109,1),(128,1)}
        32:{3,5,7}:{(18,1),(25,1),(45,1),(47,1),(48,1),(49,1),(126,1)}
        33:{1,2,6,7}:{(19,1),(20,1),(26,1),(50,1),(109,1),(110,1),(114,1),(129,1)}
        34:{1,3,5,7}:{(19,1),(21,1),(27,1),(47,1),(50,1),(51,1),(80,1),(82,1),(84,1)}
        35:{2,3,5,7}:{(20,1),(21,1),(28,1),(48,1),(50,1),(52,1),(80,1),(83,1),(84,1)}
        36:{4,7}:{(21,1),(29,1),(139,1)}
        37:{3,7}:{(22,1),(53,1),(131,1)}
        38:{1,2,4,6}:{(22,1),(23,1),(24,1),(26,1),(53,1),(54,1),(87,1)}
        39:{1,5}:{(23,1),(25,1)}
        40:{2,5}:{(24,1),(25,1)}
        41:{4,5}:{(25,1),(29,1),(87,1)}
        42:{1,2,5,6}:{(26,1),(27,1),(28,1),(50,1),(54,1),(57,1),(89,1),(90,1),(109,1),(110,1),(117,1),(129,1),(136,1)}
        43:{1,4,6}:{(27,1),(29,1),(51,1),(55,1),(58,1),(87,1),(107,1),(115,1),(139,1)}
        44:{2,4,6}:{(28,1),(29,1),(52,1),(56,1),(59,1),(87,1),(107,1),(116,1),(139,1)}
        45:{3,5,6}:{(32,1),(60,1),(61,1),(62,1),(95,1),(96,1)}
        46:{1,2,4,6,7}:{(30,1),(31,1),(33,1),(38,1),(63,1),(64,1),(67,1),(94,1),(97,1)}
        47:{1,5,7}:{(30,1),(32,1),(39,1),(60,1),(132,1)}
        48:{2,5,7}:{(31,1),(32,1),(40,1),(61,1),(133,1)}
        49:{4,5,7}:{(32,1),(36,1),(41,1),(62,1),(97,1),(118,1)}
        50:{1,2,5,7}:{(33,1),(34,1),(35,1),(42,1),(67,1),(99,1),(100,1)}
        51:{1,4,7}:{(34,1),(36,1),(43,1),(68,1),(97,1)}
        52:{2,4,7}:{(35,1),(36,1),(44,1),(69,1),(97,1)}
        53:{3,6}:{(37,1),(38,1),(70,1)}
        54:{1,2,5}:{(38,1),(39,1),(40,1),(70,1)}
        55:{1,4,5}:{(39,1),(41,1),(43,1),(72,1),(118,1),(132,1)}
        56:{2,4,5}:{(40,1),(41,1),(44,1),(73,1),(118,1),(133,1)}
        57:{1,2,4,6}:{(42,1),(43,1),(44,1),(67,1),(71,1),(74,1),(75,1),(76,1),(106,1),(125,1)}
        58:{3,4,6}:{(43,1),(68,1),(72,1),(74,1),(75,1),(95,1),(103,1)}
        59:{3,4,6}:{(44,1),(69,1),(73,1),(74,1),(76,1),(96,1),(103,1)}
        60:{1,5,6}:{(45,1),(47,1),(78,1),(110,1)}
        61:{2,5,6}:{(45,1),(48,1),(79,1),(109,1)}
        62:{4,6}:{(45,1),(49,1)}
        63:{3,6,7}:{(46,1),(53,1),(80,1),(84,1),(108,1)}
        64:{1,2,5,7}:{(46,1),(47,1),(48,1),(54,1),(77,1),(80,1)}
        65:{1,4,5,7}:{(47,1),(49,1),(51,1),(55,1),(78,1),(82,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(52,1),(56,1),(79,1),(83,1)}
        67:{1,2,4,7}:{(50,1),(51,1),(52,1),(57,1),(84,1),(85,1),(86,1),(114,1)}
        68:{3,4,7}:{(51,1),(58,1),(82,1),(84,1),(85,1)}
        69:{3,4,7}:{(52,1),(59,1),(83,1),(84,1),(86,1)}
        70:{3,5}:{(53,1),(54,1),(87,1)}
        71:{1,2,4,5}:{(54,1),(55,1),(56,1),(57,1),(87,1),(88,1),(89,1),(90,1),(115,1),(116,1),(117,1),(136,1),(139,1)}
        72:{3,5}:{(55,1),(58,1),(89,1)}
        73:{3,5}:{(56,1),(59,1),(90,1)}
        74:{3,6}:{(57,1),(84,1),(88,1),(131,1)}
        75:{2,4,6}:{(58,1),(85,1),(89,1),(92,1),(109,1),(116,1)}
        76:{1,4,6}:{(59,1),(86,1),(90,1),(91,1),(110,1),(115,1)}
        77:{1,2,5,6}:{(60,1),(61,1),(64,1),(93,1),(94,1),(132,1),(133,1)}
        78:{1,4,6}:{(60,1),(62,1),(65,1),(95,1)}
        79:{2,4,6}:{(61,1),(62,1),(66,1),(96,1)}
        80:{3,5,7}:{(63,1),(64,1),(70,1),(93,1),(97,1)}
        81:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(67,1),(71,1),(94,1),(97,1),(98,1),(99,1),(100,1),(118,1),(122,1),(123,1),(124,1),(132,1),(133,1)}
        82:{3,5,7}:{(65,1),(68,1),(72,1),(95,1),(99,1)}
        83:{3,5,7}:{(66,1),(69,1),(73,1),(96,1),(100,1)}
        84:{3,7}:{(67,1),(74,1)}
        85:{2,4,7}:{(68,1),(75,1),(99,1),(102,1)}
        86:{1,4,7}:{(69,1),(76,1),(100,1),(101,1)}
        87:{4}:{(70,1)}
        88:{3,5}:{(71,1),(74,1),(103,1)}
        89:{2,5}:{(72,1),(75,1)}
        90:{1,5}:{(73,1),(76,1)}
        91:{1,3,6}:{(74,1),(76,1),(101,1),(104,1),(106,1)}
        92:{2,3,6}:{(74,1),(75,1),(102,1),(105,1),(106,1)}
        93:{3,5,6}:{(77,1),(80,1),(107,1),(108,1),(126,1)}
        94:{1,2,4,6}:{(77,1),(78,1),(79,1),(81,1),(107,1),(108,1),(109,1),(110,1),(127,1),(128,1),(129,1)}
        95:{3,6}:{(78,1),(82,1),(109,1)}
        96:{3,6}:{(79,1),(83,1),(110,1)}
        97:{4,7}:{(80,1),(87,1),(107,1)}
        98:{3,5,7}:{(81,1),(84,1),(88,1),(108,1),(111,1),(126,1)}
        99:{2,5,7}:{(82,1),(85,1),(89,1),(109,1)}
       100:{1,5,7}:{(83,1),(86,1),(90,1),(110,1)}
       101:{1,3,7}:{(84,1),(86,1),(91,1),(114,1)}
       102:{2,3,7}:{(84,1),(85,1),(92,1),(114,1)}
       103:{3,4}:{(87,1),(88,1),(115,1),(116,1),(131,1),(139,1)}
       104:{1,3,5}:{(88,1),(90,1),(91,1),(115,1),(117,1),(131,1)}
       105:{2,3,5}:{(88,1),(89,1),(92,1),(116,1),(117,1),(131,1)}
       106:{1,2,6}:{(91,1),(92,1),(114,1),(117,1)}
       107:{4,6}:{(93,1),(97,1),(118,1)}
       108:{3,6}:{(94,1),(98,1)}
       109:{2,6}:{(95,1),(99,1)}
       110:{1,6}:{(96,1),(100,1)}
       111:{3,4,7}:{(97,1),(98,1),(103,1),(119,1),(122,1),(123,1),(135,1)}
       112:{1,3,5,7}:{(98,1),(100,1),(101,1),(104,1),(120,1),(122,1),(124,1),(132,1),(135,1),(138,1)}
       113:{2,3,5,7}:{(98,1),(99,1),(102,1),(105,1),(121,1),(123,1),(124,1),(133,1),(135,1),(138,1)}
       114:{1,2,7}:{(101,1),(102,1),(106,1)}
       115:{1,4}:{(103,1),(104,1)}
       116:{2,4}:{(103,1),(105,1)}
       117:{1,2,5}:{(104,1),(105,1),(106,1),(125,1)}
       118:{4,5}:{(107,1),(126,1),(139,1)}
       119:{3,4,6}:{(107,1),(108,1),(111,1),(126,1),(127,1),(128,1),(137,1),(139,1)}
       120:{1,3,6}:{(108,1),(110,1),(112,1),(127,1),(129,1),(137,1)}
       121:{2,3,6}:{(108,1),(109,1),(113,1),(128,1),(129,1),(137,1)}
       122:{1,4,7}:{(111,1),(112,1),(115,1),(127,1),(139,1)}
       123:{2,4,7}:{(111,1),(113,1),(116,1),(128,1),(139,1)}
       124:{1,2,5,7}:{(112,1),(113,1),(114,1),(117,1),(129,1),(130,1),(136,1)}
       125:{1,2,4}:{(115,1),(116,1),(117,1),(131,1)}
       126:{3,5}:{(118,1),(119,1),(132,1),(133,1)}
       127:{1,4,6}:{(119,1),(120,1),(122,1),(132,1)}
       128:{2,4,6}:{(119,1),(121,1),(123,1),(133,1)}
       129:{1,2,6}:{(120,1),(121,1),(124,1)}
       130:{1,2,4,7}:{(122,1),(123,1),(124,1),(125,1),(134,1),(135,1)}
       131:{3}:{(125,1)}
       132:{1,5}:{(126,1),(127,1)}
       133:{2,5}:{(126,1),(128,1)}
       134:{1,2,4,6}:{(127,1),(128,1),(129,1),(130,1),(136,1),(137,1),(139,1)}
       135:{3,7}:{(130,1),(131,1),(137,1)}
       136:{1,2,5}:{(132,1),(133,1),(134,1),(138,1)}
       137:{3,6}:{(134,1),(135,1),(138,1)}
       138:{3,5}:{(136,1),(137,1),(139,1)}
       139:{4}:{(138,1)}

1214 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(9,1),(12,1),(30,1),(32,1)}
         1:{1,2,4,7}:{(0,1),(3,1),(5,1),(50,1)}
         2:{1,2,3,6}:{(0,1),(5,1),(21,1),(48,1)}
         3:{3,4,7}:{(1,1),(9,1),(10,1),(72,1),(79,1)}
         4:{1,2,4,5,7}:{(1,1),(9,1),(11,1),(12,1),(27,1),(28,1),(30,1),(39,1),(40,1),(71,1),(79,1),(112,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1)}
         6:{1,2,3,7}:{(15,1),(16,1),(129,1),(133,1),(146,1)}
         7:{2,3,4,7}:{(3,1),(15,1),(17,1),(18,1),(41,1),(94,1),(95,1),(129,1)}
         8:{1,3,4,7}:{(3,1),(15,1),(19,1),(20,1),(41,1),(93,1),(98,1),(129,1)}
         9:{3,5,7}:{(3,1),(4,1),(21,1),(22,1),(92,1),(129,1)}
        10:{3,4,6}:{(3,1),(5,1),(21,1),(22,1),(58,1)}
        11:{1,2,4,6}:{(4,1),(21,1),(24,1),(44,1),(45,1),(48,1),(58,1)}
        12:{1,2,5}:{(5,1),(22,1)}
        13:{1,2,3,5,7}:{(6,1),(25,1),(26,1),(30,1),(32,1),(59,1),(62,1)}
        14:{3,4,5,7}:{(9,1),(27,1),(28,1),(29,1),(39,1),(59,1),(67,1),(75,1),(78,1),(79,1),(106,1),(117,1),(119,1),(138,1)}
        15:{1,2,4,7}:{(6,1),(7,1),(8,1),(30,1),(31,1),(116,1)}
        16:{1,2,3,6}:{(6,1),(31,1),(32,1),(113,1),(143,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(27,1),(30,1),(33,1),(34,1),(59,1),(115,1),(142,1)}
        18:{2,3,4,6}:{(7,1),(10,1),(31,1),(33,1),(34,1),(60,1),(72,1),(74,1),(113,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(28,1),(30,1),(35,1),(36,1),(59,1),(114,1),(141,1)}
        20:{1,3,4,6}:{(8,1),(10,1),(31,1),(35,1),(36,1),(60,1),(72,1),(77,1),(113,1)}
        21:{3,6}:{(9,1),(11,1)}
        22:{3,5}:{(10,1),(12,1),(39,1)}
        23:{1,2,4,6,7}:{(11,1),(37,1),(40,1),(63,1),(65,1),(69,1),(79,1),(112,1)}
        24:{1,2,5,6}:{(11,1),(12,1),(38,1),(40,1),(64,1),(66,1)}
        25:{1,2,4,7}:{(13,1),(41,1),(43,1),(50,1)}
        26:{1,2,3,6}:{(13,1),(43,1),(48,1),(81,1)}
        27:{2,4,5,7}:{(14,1),(17,1),(44,1),(53,1),(85,1),(95,1),(100,1),(135,1)}
        28:{1,4,5,7}:{(14,1),(19,1),(45,1),(56,1),(87,1),(97,1),(98,1),(134,1)}
        29:{3,4,6}:{(14,1),(21,1),(44,1),(45,1),(47,1),(58,1),(81,1),(124,1)}
        30:{1,2,5,7}:{(15,1),(17,1),(19,1),(48,1),(49,1),(132,1),(146,1)}
        31:{1,2,4,6}:{(15,1),(16,1),(18,1),(20,1),(48,1),(49,1),(50,1)}
        32:{1,2,3,5}:{(16,1),(49,1),(50,1),(92,1),(132,1),(133,1)}
        33:{2,3,6}:{(17,1),(21,1),(44,1),(48,1),(81,1)}
        34:{2,3,5}:{(18,1),(22,1),(49,1),(53,1),(82,1),(92,1)}
        35:{1,3,6}:{(19,1),(21,1),(45,1),(48,1),(81,1)}
        36:{1,3,5}:{(20,1),(22,1),(49,1),(56,1),(82,1),(92,1)}
        37:{3,6,7}:{(21,1),(23,1),(57,1),(129,1)}
        38:{3,5,6}:{(21,1),(22,1),(24,1),(57,1),(58,1)}
        39:{4,5}:{(22,1),(58,1)}
        40:{1,2,5,7}:{(23,1),(24,1),(57,1),(85,1),(87,1)}
        41:{3,4,7}:{(25,1),(59,1),(60,1),(72,1),(138,1)}
        42:{1,2,4,5,7}:{(25,1),(27,1),(28,1),(30,1),(59,1),(61,1),(62,1),(71,1),(106,1),(107,1),(112,1),(138,1)}
        43:{1,2,4,6}:{(25,1),(26,1),(60,1),(62,1)}
        44:{2,4,6}:{(27,1),(29,1),(33,1),(64,1)}
        45:{1,4,6}:{(28,1),(29,1),(35,1),(66,1)}
        46:{3,4,6,7}:{(29,1),(37,1),(63,1),(65,1),(67,1),(79,1),(103,1),(104,1),(117,1),(119,1),(136,1),(137,1),(138,1)}
        47:{3,5,6}:{(29,1),(64,1),(66,1),(67,1),(68,1)}
        48:{1,2,6}:{(30,1),(33,1),(35,1)}
        49:{1,2,5}:{(31,1),(34,1),(36,1)}
        50:{1,2,4}:{(32,1),(72,1)}
        51:{2,3,6,7}:{(33,1),(37,1),(63,1),(69,1),(73,1),(104,1),(136,1),(142,1)}
        52:{2,3,5,6}:{(33,1),(34,1),(38,1),(64,1),(70,1),(73,1),(74,1),(105,1),(109,1),(113,1)}
        53:{2,4,5}:{(34,1),(39,1),(74,1),(75,1),(106,1)}
        54:{1,3,6,7}:{(35,1),(37,1),(65,1),(69,1),(76,1),(104,1),(137,1),(141,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(38,1),(66,1),(70,1),(76,1),(77,1),(105,1),(111,1),(113,1)}
        56:{1,4,5}:{(36,1),(39,1),(77,1),(78,1),(106,1)}
        57:{3,5,7}:{(37,1),(38,1),(40,1),(79,1)}
        58:{4,6}:{(38,1),(39,1),(79,1)}
        59:{3,5,7}:{(41,1),(42,1),(81,1),(82,1),(92,1),(129,1)}
        60:{3,4,6}:{(41,1),(43,1),(81,1),(82,1),(124,1)}
        61:{1,2,4,6}:{(42,1),(44,1),(45,1),(48,1),(81,1),(84,1),(124,1)}
        62:{1,2,5}:{(43,1),(82,1)}
        63:{2,4,6,7}:{(44,1),(46,1),(51,1),(85,1),(95,1),(135,1),(145,1)}
        64:{2,5,6}:{(44,1),(47,1),(85,1)}
        65:{1,4,6,7}:{(45,1),(46,1),(54,1),(87,1),(98,1),(134,1),(144,1)}
        66:{1,5,6}:{(45,1),(47,1),(87,1)}
        67:{3,5,7}:{(46,1),(47,1),(85,1),(87,1),(89,1)}
        68:{4,5,6}:{(47,1),(58,1),(89,1),(124,1)}
        69:{1,2,6,7}:{(48,1),(51,1),(54,1),(90,1),(144,1),(145,1),(146,1)}
        70:{1,2,5,6}:{(48,1),(49,1),(52,1),(55,1),(90,1),(91,1),(126,1),(128,1)}
        71:{1,2,4,5}:{(49,1),(50,1),(53,1),(56,1),(91,1),(92,1),(97,1),(100,1),(132,1)}
        72:{3,4}:{(50,1),(92,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(57,1),(85,1),(90,1),(95,1),(123,1),(125,1),(129,1)}
        74:{2,4,6}:{(52,1),(53,1),(58,1),(95,1),(96,1),(124,1)}
        75:{3,4,5}:{(53,1),(92,1),(96,1),(97,1)}
        76:{1,3,5,7}:{(54,1),(55,1),(57,1),(87,1),(90,1),(98,1),(123,1),(127,1),(129,1)}
        77:{1,4,6}:{(55,1),(56,1),(58,1),(98,1),(99,1),(124,1)}
        78:{3,4,5}:{(56,1),(92,1),(99,1),(100,1)}
        79:{4,7}:{(57,1),(58,1)}
        80:{3,5,6,7}:{(67,1),(101,1),(102,1),(103,1),(136,1),(137,1)}
        81:{3,6}:{(59,1),(61,1)}
        82:{3,5}:{(60,1),(62,1),(106,1)}
        83:{1,2,4,6,7}:{(61,1),(63,1),(65,1),(69,1),(104,1),(107,1),(112,1),(138,1)}
        84:{1,2,5,6}:{(61,1),(62,1),(64,1),(66,1),(105,1),(107,1)}
        85:{2,5,7}:{(63,1),(64,1),(67,1)}
        86:{2,4,5,6}:{(64,1),(68,1),(74,1),(108,1),(109,1)}
        87:{1,5,7}:{(65,1),(66,1),(67,1)}
        88:{1,4,5,6}:{(66,1),(68,1),(77,1),(110,1),(111,1)}
        89:{4,5,7}:{(67,1),(68,1),(79,1),(103,1),(138,1)}
        90:{1,2,5,7}:{(69,1),(70,1),(73,1),(76,1),(112,1),(139,1),(140,1)}
        91:{1,2,4,6}:{(70,1),(71,1),(74,1),(77,1),(112,1),(113,1),(118,1),(120,1),(143,1)}
        92:{3,5}:{(71,1),(72,1),(113,1)}
        93:{1,3,4}:{(72,1),(114,1),(116,1)}
        94:{2,3,4}:{(72,1),(115,1),(116,1)}
        95:{2,4,7}:{(73,1),(74,1),(79,1),(117,1),(138,1)}
        96:{3,4,6}:{(74,1),(75,1),(109,1),(113,1),(117,1),(118,1)}
        97:{1,4,5}:{(75,1),(114,1),(118,1)}
        98:{1,4,7}:{(76,1),(77,1),(79,1),(119,1),(138,1)}
        99:{3,4,6}:{(77,1),(78,1),(111,1),(113,1),(119,1),(120,1)}
       100:{2,4,5}:{(78,1),(115,1),(120,1)}
       101:{2,5,6,7}:{(80,1),(85,1),(121,1),(145,1)}
       102:{1,5,6,7}:{(80,1),(87,1),(122,1),(144,1)}
       103:{4,6,7}:{(80,1),(89,1)}
       104:{3,6,7}:{(81,1),(83,1),(123,1),(129,1)}
       105:{3,5,6}:{(81,1),(82,1),(84,1),(123,1),(124,1)}
       106:{4,5}:{(82,1),(124,1)}
       107:{1,2,5,7}:{(83,1),(84,1),(85,1),(87,1),(123,1)}
       108:{2,4,5,7}:{(85,1),(86,1),(89,1),(95,1),(121,1),(125,1)}
       109:{3,5,6}:{(86,1),(96,1),(125,1),(126,1)}
       110:{1,4,5,7}:{(87,1),(88,1),(89,1),(98,1),(122,1),(127,1)}
       111:{3,5,6}:{(88,1),(99,1),(127,1),(128,1)}
       112:{1,2,4,7}:{(90,1),(91,1),(95,1),(98,1),(129,1),(134,1),(135,1),(146,1)}
       113:{3,6}:{(91,1),(92,1),(129,1)}
       114:{1,3,5}:{(92,1),(93,1),(97,1),(130,1),(132,1)}
       115:{2,3,5}:{(92,1),(94,1),(100,1),(131,1),(132,1)}
       116:{1,2,4}:{(93,1),(94,1),(132,1),(133,1)}
       117:{3,4,7}:{(95,1),(96,1),(125,1),(129,1),(134,1)}
       118:{1,4,6}:{(96,1),(97,1),(126,1),(130,1),(134,1)}
       119:{3,4,7}:{(98,1),(99,1),(127,1),(129,1),(135,1)}
       120:{2,4,6}:{(99,1),(100,1),(128,1),(131,1),(135,1)}
       121:{2,4,6,7}:{(101,1),(103,1),(108,1),(136,1)}
       122:{1,4,6,7}:{(102,1),(103,1),(110,1),(137,1)}
       123:{3,5,7}:{(104,1),(105,1),(107,1),(138,1)}
       124:{4,6}:{(105,1),(106,1),(138,1)}
       125:{3,5,7}:{(108,1),(109,1),(117,1),(136,1),(139,1)}
       126:{1,5,6}:{(109,1),(118,1),(139,1)}
       127:{3,5,7}:{(110,1),(111,1),(119,1),(137,1),(140,1)}
       128:{2,5,6}:{(111,1),(120,1),(140,1)}
       129:{3,7}:{(112,1),(113,1)}
       130:{1,3,6}:{(113,1),(114,1),(118,1),(141,1),(143,1)}
       131:{2,3,6}:{(113,1),(115,1),(120,1),(142,1),(143,1)}
       132:{1,2,5}:{(114,1),(115,1),(116,1),(143,1)}
       133:{1,2,3}:{(116,1)}
       134:{1,4,7}:{(117,1),(118,1),(139,1),(141,1)}
       135:{2,4,7}:{(119,1),(120,1),(140,1),(142,1)}
       136:{3,6,7}:{(121,1),(125,1),(144,1)}
       137:{3,6,7}:{(122,1),(127,1),(145,1)}
       138:{4,7}:{(123,1),(124,1)}
       139:{1,5,7}:{(125,1),(126,1),(134,1),(144,1)}
       140:{2,5,7}:{(127,1),(128,1),(135,1),(145,1)}
       141:{1,3,7}:{(129,1),(130,1),(134,1),(146,1)}
       142:{2,3,7}:{(129,1),(131,1),(135,1),(146,1)}
       143:{1,2,6}:{(130,1),(131,1),(132,1),(146,1)}
       144:{1,6,7}:{(136,1),(139,1)}
       145:{2,6,7}:{(137,1),(140,1)}
       146:{1,2,7}:{(141,1),(142,1),(143,1)}

1215 :   0:{1,2,3,6,7}:{(1,1),(2,1),(29,1),(63,1),(64,1),(65,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(17,1),(70,1),(71,1)}
         2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(47,1),(48,1),(78,1),(79,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(11,1),(22,1),(29,1)}
         4:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(25,1),(29,1),(59,1),(60,1),(61,1),(62,1),(65,1)}
         5:{1,2,5,7}:{(1,1),(7,1),(9,1),(85,1),(86,1)}
         6:{1,2,4,7}:{(2,1),(8,1),(11,1),(91,1),(92,1)}
         7:{3,5,7}:{(3,1),(5,1),(12,1),(13,1)}
         8:{1,2,4,6}:{(4,1),(6,1),(14,1),(15,1),(75,1),(76,1)}
         9:{1,2,5,6}:{(5,1),(12,1),(17,1),(68,1),(69,1)}
        10:{1,2,4,5,7}:{(5,1),(6,1),(13,1),(14,1),(17,1),(18,1),(36,1),(37,1),(47,1)}
        11:{3,4,7}:{(6,1),(15,1),(18,1)}
        12:{3,5,6}:{(7,1),(9,1),(22,1),(29,1)}
        13:{4,5,7}:{(7,1),(22,1)}
        14:{1,2,4,5}:{(8,1),(25,1),(56,1),(57,1),(61,1)}
        15:{3,4,6}:{(8,1),(11,1),(25,1),(29,1)}
        16:{1,2,5,6,7}:{(9,1),(21,1),(28,1),(85,1),(86,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(22,1),(29,1),(52,1),(53,1),(65,1)}
        18:{3,5,7}:{(10,1),(11,1),(25,1),(29,1)}
        19:{1,3,4,7}:{(11,1),(26,1),(30,1),(32,1),(90,1),(91,1),(109,1)}
        20:{2,3,4,7}:{(11,1),(27,1),(31,1),(32,1),(90,1),(92,1),(109,1)}
        21:{3,5,6,7}:{(12,1),(16,1),(34,1),(44,1),(67,1)}
        22:{4,6}:{(12,1),(13,1)}
        23:{3,4,5,7}:{(13,1),(18,1),(35,1),(36,1),(37,1),(38,1),(67,1),(73,1),(74,1),(110,1),(111,1)}
        24:{1,2,4,5,6}:{(14,1),(17,1),(33,1),(39,1),(40,1),(68,1),(69,1),(75,1),(76,1),(80,1)}
        25:{3,5}:{(14,1),(15,1)}
        26:{1,3,4,6}:{(15,1),(19,1),(41,1),(43,1),(45,1),(75,1),(101,1),(103,1),(104,1)}
        27:{2,3,4,6}:{(15,1),(20,1),(42,1),(43,1),(46,1),(76,1),(101,1),(103,1),(104,1)}
        28:{1,2,4,6,7}:{(16,1),(17,1),(34,1),(39,1),(44,1),(70,1),(71,1),(82,1)}
        29:{3,6}:{(17,1),(18,1)}
        30:{1,3,5,7}:{(18,1),(19,1),(36,1),(41,1),(45,1),(47,1),(73,1)}
        31:{2,3,5,7}:{(18,1),(20,1),(37,1),(42,1),(46,1),(47,1),(73,1)}
        32:{1,2,4,7}:{(19,1),(20,1),(43,1),(47,1),(48,1)}
        33:{4,5,6}:{(22,1),(49,1),(50,1),(107,1)}
        34:{4,6,7}:{(21,1),(22,1),(49,1)}
        35:{3,4,6}:{(22,1),(23,1),(29,1),(50,1),(52,1),(53,1),(89,1),(107,1)}
        36:{1,4,5,7}:{(23,1),(30,1),(52,1),(56,1),(85,1),(91,1)}
        37:{2,4,5,7}:{(23,1),(31,1),(53,1),(57,1),(86,1),(92,1)}
        38:{3,4,5}:{(25,1),(55,1),(56,1),(57,1),(94,1)}
        39:{1,2,4,5,7}:{(24,1),(28,1),(49,1),(58,1),(85,1),(86,1),(91,1),(92,1),(95,1)}
        40:{3,5,6}:{(24,1),(25,1),(29,1),(55,1),(58,1)}
        41:{1,3,5}:{(25,1),(26,1),(56,1),(61,1),(94,1),(108,1)}
        42:{2,3,5}:{(25,1),(27,1),(57,1),(61,1),(94,1),(108,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(32,1),(61,1),(62,1),(65,1),(96,1)}
        44:{3,6,7}:{(28,1),(29,1),(58,1)}
        45:{1,3,6}:{(29,1),(30,1),(52,1),(65,1),(89,1)}
        46:{2,3,6}:{(29,1),(31,1),(53,1),(65,1),(89,1)}
        47:{1,2,5,7}:{(30,1),(31,1),(32,1),(61,1),(65,1)}
        48:{1,2,3,7}:{(32,1),(62,1),(109,1)}
        49:{4,5,7}:{(33,1),(34,1),(67,1),(110,1)}
        50:{3,5,6}:{(33,1),(35,1),(67,1),(68,1),(69,1)}
        51:{3,4,6,7}:{(34,1),(35,1),(44,1),(67,1),(70,1),(71,1),(74,1),(100,1),(110,1)}
        52:{1,4,6}:{(35,1),(36,1),(45,1),(68,1)}
        53:{2,4,6}:{(35,1),(37,1),(46,1),(69,1)}
        54:{1,2,4,5,7}:{(36,1),(37,1),(47,1),(72,1),(73,1),(77,1),(84,1),(98,1),(102,1),(105,1),(110,1),(111,1)}
        55:{3,4,6}:{(38,1),(40,1),(74,1),(75,1),(76,1),(103,1)}
        56:{1,4,5}:{(38,1),(41,1),(75,1),(111,1)}
        57:{2,4,5}:{(38,1),(42,1),(76,1),(111,1)}
        58:{3,5,7}:{(39,1),(40,1),(44,1),(74,1)}
        59:{1,3,5,6}:{(40,1),(41,1),(45,1),(68,1),(75,1),(78,1),(80,1),(99,1),(103,1)}
        60:{2,3,5,6}:{(40,1),(42,1),(46,1),(69,1),(76,1),(79,1),(80,1),(99,1),(103,1)}
        61:{1,2,5}:{(41,1),(42,1),(43,1)}
        62:{1,2,3,6}:{(43,1),(48,1),(81,1),(103,1)}
        63:{1,3,6,7}:{(44,1),(45,1),(70,1),(78,1),(82,1),(100,1)}
        64:{2,3,6,7}:{(44,1),(46,1),(71,1),(79,1),(82,1),(100,1)}
        65:{1,2,6}:{(45,1),(46,1),(47,1)}
        66:{1,2,3,5,7}:{(47,1),(48,1),(73,1),(81,1),(83,1),(84,1),(105,1)}
        67:{3,5,7}:{(49,1),(50,1),(51,1),(85,1),(86,1)}
        68:{1,5,6}:{(50,1),(52,1),(85,1)}
        69:{2,5,6}:{(50,1),(53,1),(86,1)}
        70:{1,4,6,7}:{(51,1),(52,1),(63,1),(85,1),(91,1)}
        71:{2,4,6,7}:{(51,1),(53,1),(64,1),(86,1),(92,1)}
        72:{1,2,4,6}:{(52,1),(53,1),(54,1),(65,1),(87,1),(89,1),(107,1)}
        73:{3,5,7}:{(54,1),(89,1),(90,1),(94,1),(108,1),(109,1)}
        74:{3,4,7}:{(55,1),(58,1),(91,1),(92,1),(109,1)}
        75:{1,4,6}:{(55,1),(56,1),(59,1),(91,1),(107,1)}
        76:{2,4,6}:{(55,1),(57,1),(60,1),(92,1),(107,1)}
        77:{1,2,4,5}:{(56,1),(57,1),(61,1),(93,1),(94,1),(96,1)}
        78:{1,3,5,7}:{(58,1),(59,1),(63,1),(85,1),(91,1),(95,1),(106,1),(109,1)}
        79:{2,3,5,7}:{(58,1),(60,1),(64,1),(86,1),(92,1),(95,1),(106,1),(109,1)}
        80:{1,2,5,6}:{(59,1),(60,1),(61,1),(65,1),(93,1),(95,1)}
        81:{1,2,3,5}:{(61,1),(62,1),(94,1),(96,1)}
        82:{1,2,6,7}:{(63,1),(64,1),(65,1),(95,1)}
        83:{1,2,3,6}:{(65,1),(66,1),(89,1),(97,1)}
        84:{1,2,4,7}:{(66,1),(90,1),(96,1),(97,1)}
        85:{1,5,7}:{(67,1),(68,1),(70,1)}
        86:{2,5,7}:{(67,1),(69,1),(71,1)}
        87:{1,2,5,6}:{(68,1),(69,1),(72,1),(98,1),(99,1),(105,1)}
        88:{1,2,4,6,7}:{(70,1),(71,1),(72,1),(82,1),(98,1),(100,1),(102,1),(110,1)}
        89:{3,6}:{(72,1),(73,1)}
        90:{3,4,7}:{(73,1),(84,1),(101,1),(104,1),(110,1)}
        91:{1,4,7}:{(74,1),(75,1),(78,1),(110,1)}
        92:{2,4,7}:{(74,1),(76,1),(79,1),(110,1)}
        93:{1,2,4,6}:{(75,1),(76,1),(77,1),(80,1),(102,1),(103,1)}
        94:{3,5}:{(77,1),(103,1),(104,1)}
        95:{1,2,5,7}:{(78,1),(79,1),(80,1),(82,1),(102,1)}
        96:{1,2,4}:{(81,1),(104,1)}
        97:{1,2,4,6}:{(83,1),(84,1),(101,1),(105,1)}
        98:{1,2,5,7}:{(85,1),(86,1),(87,1),(88,1),(106,1)}
        99:{3,5,6}:{(87,1),(89,1),(106,1),(107,1),(108,1)}
       100:{3,6,7}:{(88,1),(89,1),(106,1),(109,1)}
       101:{3,4,6}:{(89,1),(90,1),(97,1),(107,1),(108,1)}
       102:{1,2,4,7}:{(91,1),(92,1),(93,1),(95,1),(109,1)}
       103:{3,6}:{(93,1),(94,1),(109,1)}
       104:{3,4}:{(94,1),(96,1)}
       105:{1,2,5}:{(97,1),(108,1)}
       106:{3,5,7}:{(98,1),(99,1),(100,1),(110,1)}
       107:{4,6}:{(99,1),(110,1),(111,1)}
       108:{3,5}:{(101,1),(105,1),(111,1)}
       109:{3,7}:{(102,1),(103,1)}
       110:{4,7}:{(106,1),(107,1)}
       111:{4,5}:{(107,1),(108,1)}

1216 :   0:{3,4,5,7}:{(3,1),(4,1),(5,1),(30,1),(31,1),(72,1),(81,1),(125,1),(136,1),(145,1),(148,1)}
         1:{2,3,4,7}:{(6,1),(7,1),(8,1),(57,1),(94,1),(151,1),(169,1),(194,1)}
         2:{1,3,4,7}:{(9,1),(10,1),(11,1),(57,1),(104,1),(157,1),(162,1),(200,1)}
         3:{1,4,5,7}:{(0,1),(9,1),(14,1),(52,1),(54,1),(101,1),(104,1),(152,1)}
         4:{2,4,5,7}:{(0,1),(6,1),(15,1),(45,1),(55,1),(94,1),(111,1),(163,1)}
         5:{3,4,6}:{(0,1),(14,1),(15,1),(16,1),(58,1),(117,1)}
         6:{2,3,5,7}:{(1,1),(4,1),(18,1),(19,1),(22,1),(31,1),(143,1),(186,1),(205,1)}
         7:{1,2,4,7}:{(1,1),(18,1),(20,1),(21,1),(66,1),(190,1)}
         8:{2,3,4,6}:{(1,1),(19,1),(21,1),(22,1),(69,1),(86,1),(128,1),(130,1),(179,1)}
         9:{1,3,5,7}:{(2,1),(3,1),(23,1),(24,1),(27,1),(31,1),(131,1),(176,1),(207,1)}
        10:{1,2,4,7}:{(2,1),(23,1),(25,1),(26,1),(75,1),(181,1)}
        11:{1,3,4,6}:{(2,1),(24,1),(26,1),(27,1),(78,1),(86,1),(139,1),(141,1),(188,1)}
        12:{3,4,6,7}:{(5,1),(28,1),(29,1),(30,1),(38,1),(82,1),(90,1),(91,1),(125,1),(136,1),(145,1)}
        13:{1,2,4,5,7}:{(3,1),(4,1),(18,1),(23,1),(31,1),(32,1),(66,1),(71,1),(75,1),(80,1),(83,1),(124,1),(126,1),(135,1),(137,1),(145,1),(148,1),(174,1),(183,1),(205,1),(207,1)}
        14:{1,4,6}:{(3,1),(5,1),(24,1),(33,1)}
        15:{2,4,6}:{(4,1),(5,1),(19,1),(34,1)}
        16:{3,5,6}:{(5,1),(30,1),(33,1),(34,1),(35,1)}
        17:{3,5,6,7}:{(30,1),(36,1),(37,1),(38,1),(90,1),(91,1)}
        18:{1,2,5,7}:{(6,1),(7,1),(40,1),(41,1),(44,1),(170,1),(201,1)}
        19:{2,3,6}:{(6,1),(15,1),(41,1),(58,1),(208,1)}
        20:{1,3,7}:{(7,1),(43,1),(151,1),(203,1)}
        21:{1,2,4,6}:{(7,1),(8,1),(41,1),(43,1),(44,1),(95,1),(99,1)}
        22:{2,3,5}:{(8,1),(44,1),(45,1),(100,1),(116,1),(196,1)}
        23:{1,2,5,7}:{(9,1),(10,1),(47,1),(48,1),(51,1),(159,1),(195,1)}
        24:{1,3,6}:{(9,1),(14,1),(48,1),(58,1),(209,1)}
        25:{2,3,7}:{(10,1),(50,1),(162,1),(197,1)}
        26:{1,2,4,6}:{(10,1),(11,1),(48,1),(50,1),(51,1),(105,1),(109,1)}
        27:{1,3,5}:{(11,1),(51,1),(52,1),(110,1),(116,1),(202,1)}
        28:{1,4,6,7}:{(12,1),(14,1),(46,1),(54,1),(104,1),(121,1),(152,1)}
        29:{2,4,6,7}:{(12,1),(15,1),(39,1),(55,1),(94,1),(120,1),(163,1)}
        30:{3,5,7}:{(12,1),(16,1),(54,1),(55,1),(56,1)}
        31:{3,5,7}:{(13,1),(57,1),(58,1),(100,1),(110,1),(116,1),(151,1),(162,1)}
        32:{1,2,4,6}:{(13,1),(14,1),(15,1),(41,1),(48,1),(58,1),(59,1),(95,1),(105,1),(117,1),(192,1),(198,1),(208,1),(209,1)}
        33:{1,5,6}:{(14,1),(16,1),(54,1)}
        34:{2,5,6}:{(15,1),(16,1),(55,1)}
        35:{4,5,6}:{(16,1),(56,1),(117,1)}
        36:{1,5,6,7}:{(17,1),(54,1),(62,1),(121,1)}
        37:{2,5,6,7}:{(17,1),(55,1),(63,1),(120,1)}
        38:{4,6,7}:{(17,1),(56,1)}
        39:{2,3,6,7}:{(19,1),(29,1),(64,1),(65,1),(82,1),(91,1),(186,1)}
        40:{1,3,5,7}:{(18,1),(20,1),(31,1),(66,1),(67,1),(70,1),(126,1),(142,1),(185,1),(207,1)}
        41:{1,2,6}:{(18,1),(19,1),(67,1)}
        42:{2,3,5,6}:{(19,1),(22,1),(34,1),(65,1),(68,1),(69,1),(87,1),(89,1),(128,1)}
        43:{1,3,6}:{(20,1),(21,1),(70,1),(128,1)}
        44:{1,2,5}:{(21,1),(22,1),(70,1),(126,1)}
        45:{2,4,5}:{(22,1),(69,1),(72,1),(148,1)}
        46:{1,3,6,7}:{(24,1),(28,1),(73,1),(74,1),(82,1),(90,1),(176,1)}
        47:{2,3,5,7}:{(23,1),(25,1),(31,1),(75,1),(76,1),(79,1),(132,1),(137,1),(177,1),(205,1)}
        48:{1,2,6}:{(23,1),(24,1),(76,1)}
        49:{1,3,5,6}:{(24,1),(27,1),(33,1),(74,1),(77,1),(78,1),(87,1),(88,1),(139,1)}
        50:{2,3,6}:{(25,1),(26,1),(79,1),(139,1)}
        51:{1,2,5}:{(26,1),(27,1),(79,1),(137,1)}
        52:{1,4,5}:{(27,1),(78,1),(81,1),(148,1)}
        53:{1,2,4,6,7}:{(28,1),(29,1),(32,1),(64,1),(73,1),(82,1),(83,1),(122,1),(124,1),(133,1),(135,1),(145,1)}
        54:{1,5,7}:{(28,1),(30,1),(33,1)}
        55:{2,5,7}:{(29,1),(30,1),(34,1)}
        56:{4,5,7}:{(30,1),(35,1),(38,1),(145,1)}
        57:{3,4,7}:{(31,1),(66,1),(75,1),(86,1),(130,1),(141,1),(145,1)}
        58:{3,6}:{(31,1),(32,1)}
        59:{1,2,5,6}:{(32,1),(33,1),(34,1),(83,1),(87,1),(126,1),(137,1),(173,1),(182,1)}
        60:{1,4,5,6}:{(33,1),(35,1),(78,1),(84,1),(88,1)}
        61:{2,4,5,6}:{(34,1),(35,1),(69,1),(85,1),(89,1)}
        62:{1,4,6,7}:{(36,1),(38,1),(84,1),(90,1)}
        63:{2,4,6,7}:{(37,1),(38,1),(85,1),(91,1)}
        64:{1,2,6,7}:{(39,1),(41,1),(92,1),(93,1),(121,1),(201,1),(208,1)}
        65:{2,3,5,7}:{(39,1),(42,1),(55,1),(93,1),(94,1),(113,1),(115,1),(151,1)}
        66:{1,4,7}:{(40,1),(57,1),(95,1),(99,1),(168,1)}
        67:{1,3,6}:{(40,1),(41,1),(58,1),(95,1),(209,1)}
        68:{1,2,5,6}:{(41,1),(42,1),(44,1),(93,1),(96,1),(97,1),(119,1),(196,1),(208,1)}
        69:{2,4,6}:{(42,1),(45,1),(94,1),(98,1),(117,1)}
        70:{1,3,5}:{(43,1),(44,1),(99,1),(100,1)}
        71:{1,2,4,5}:{(44,1),(45,1),(97,1),(99,1),(100,1),(101,1),(153,1),(158,1),(159,1),(196,1)}
        72:{3,4,5}:{(45,1),(98,1),(100,1),(101,1)}
        73:{1,2,6,7}:{(46,1),(48,1),(102,1),(103,1),(120,1),(195,1),(209,1)}
        74:{1,3,5,7}:{(46,1),(49,1),(54,1),(103,1),(104,1),(113,1),(114,1),(162,1)}
        75:{2,4,7}:{(47,1),(57,1),(105,1),(109,1),(158,1)}
        76:{2,3,6}:{(47,1),(48,1),(58,1),(105,1),(208,1)}
        77:{1,2,5,6}:{(48,1),(49,1),(51,1),(103,1),(106,1),(107,1),(118,1),(202,1),(209,1)}
        78:{1,4,6}:{(49,1),(52,1),(104,1),(108,1),(117,1)}
        79:{2,3,5}:{(50,1),(51,1),(109,1),(110,1)}
        80:{1,2,4,5}:{(51,1),(52,1),(107,1),(109,1),(110,1),(111,1),(164,1),(168,1),(170,1),(202,1)}
        81:{3,4,5}:{(52,1),(108,1),(110,1),(111,1)}
        82:{3,6,7}:{(53,1),(58,1),(113,1),(151,1),(162,1)}
        83:{1,2,5,7}:{(53,1),(54,1),(55,1),(59,1),(113,1),(149,1),(160,1)}
        84:{1,4,5,7}:{(54,1),(56,1),(60,1),(62,1),(104,1),(114,1)}
        85:{2,4,5,7}:{(55,1),(56,1),(61,1),(63,1),(94,1),(115,1)}
        86:{3,4,6}:{(57,1),(58,1),(95,1),(105,1),(116,1),(117,1)}
        87:{3,5,6}:{(58,1),(59,1),(113,1),(116,1),(117,1)}
        88:{3,5,6}:{(60,1),(108,1),(114,1),(118,1)}
        89:{3,5,6}:{(61,1),(98,1),(115,1),(119,1)}
        90:{3,6,7}:{(62,1),(114,1),(120,1)}
        91:{3,6,7}:{(63,1),(115,1),(121,1)}
        92:{1,3,6,7}:{(64,1),(67,1),(82,1),(122,1),(123,1),(185,1),(204,1)}
        93:{1,2,5,7}:{(64,1),(65,1),(68,1),(123,1),(124,1),(147,1),(205,1)}
        94:{2,4,7}:{(65,1),(69,1),(125,1),(145,1)}
        95:{1,4,6}:{(66,1),(67,1),(86,1),(126,1)}
        96:{1,3,5,6}:{(67,1),(68,1),(70,1),(87,1),(123,1),(126,1),(127,1),(128,1),(173,1),(178,1),(204,1)}
        97:{1,2,4,6}:{(68,1),(69,1),(71,1),(124,1),(127,1),(128,1),(129,1),(179,1),(180,1)}
        98:{3,4,6}:{(69,1),(72,1),(89,1),(125,1),(128,1),(129,1)}
        99:{1,4}:{(70,1),(130,1)}
       100:{3,5}:{(71,1),(128,1),(130,1)}
       101:{1,4,5}:{(72,1),(129,1),(131,1)}
       102:{2,3,6,7}:{(73,1),(76,1),(82,1),(133,1),(134,1),(177,1),(206,1)}
       103:{1,2,5,7}:{(73,1),(74,1),(77,1),(134,1),(135,1),(146,1),(207,1)}
       104:{1,4,7}:{(74,1),(78,1),(136,1),(145,1)}
       105:{2,4,6}:{(75,1),(76,1),(86,1),(137,1)}
       106:{2,3,5,6}:{(76,1),(77,1),(79,1),(87,1),(134,1),(137,1),(138,1),(139,1),(182,1),(187,1),(206,1)}
       107:{1,2,4,6}:{(77,1),(78,1),(80,1),(135,1),(138,1),(139,1),(140,1),(188,1),(189,1)}
       108:{3,4,6}:{(78,1),(81,1),(88,1),(136,1),(139,1),(140,1)}
       109:{2,4}:{(79,1),(141,1)}
       110:{3,5}:{(80,1),(139,1),(141,1)}
       111:{2,4,5}:{(81,1),(140,1),(143,1)}
       112:{3,4,6,7}:{(82,1),(86,1),(122,1),(133,1),(144,1),(145,1),(175,1),(184,1),(191,1),(204,1),(206,1)}
       113:{3,5,7}:{(82,1),(83,1),(87,1),(145,1)}
       114:{3,5,7}:{(84,1),(88,1),(90,1),(136,1),(146,1)}
       115:{3,5,7}:{(85,1),(89,1),(91,1),(125,1),(147,1)}
       116:{3,5}:{(86,1),(126,1),(137,1),(148,1)}
       117:{4,6}:{(87,1),(145,1),(148,1)}
       118:{2,5,6}:{(88,1),(140,1),(146,1)}
       119:{1,5,6}:{(89,1),(129,1),(147,1)}
       120:{2,6,7}:{(90,1),(146,1)}
       121:{1,6,7}:{(91,1),(147,1)}
       122:{1,4,6,7}:{(92,1),(95,1),(112,1),(149,1),(150,1),(192,1),(200,1),(209,1)}
       123:{1,3,5,7}:{(92,1),(93,1),(96,1),(113,1),(149,1),(150,1),(151,1),(193,1)}
       124:{1,2,4,7}:{(93,1),(94,1),(97,1),(150,1),(151,1),(152,1),(194,1),(195,1)}
       125:{3,4,7}:{(94,1),(98,1),(115,1),(151,1),(152,1)}
       126:{1,5}:{(95,1),(116,1)}
       127:{1,4,6}:{(96,1),(99,1),(117,1),(150,1),(153,1),(154,1)}
       128:{3,6}:{(97,1),(100,1),(151,1)}
       129:{1,4,6}:{(98,1),(101,1),(119,1),(152,1),(155,1)}
       130:{3,4}:{(99,1),(100,1),(158,1)}
       131:{1,3,5}:{(100,1),(101,1),(155,1),(157,1),(159,1)}
       132:{2,3,5}:{(100,1),(156,1),(158,1),(159,1),(196,1),(197,1)}
       133:{2,4,6,7}:{(102,1),(105,1),(112,1),(160,1),(161,1),(194,1),(198,1),(208,1)}
       134:{2,3,5,7}:{(102,1),(103,1),(106,1),(113,1),(160,1),(161,1),(162,1),(199,1)}
       135:{1,2,4,7}:{(103,1),(104,1),(107,1),(161,1),(162,1),(163,1),(200,1),(201,1)}
       136:{3,4,7}:{(104,1),(108,1),(114,1),(162,1),(163,1)}
       137:{2,5}:{(105,1),(116,1)}
       138:{2,4,6}:{(106,1),(109,1),(117,1),(161,1),(164,1),(165,1)}
       139:{3,6}:{(107,1),(110,1),(162,1)}
       140:{2,4,6}:{(108,1),(111,1),(118,1),(163,1),(167,1)}
       141:{3,4}:{(109,1),(110,1),(168,1)}
       142:{1,3,5}:{(110,1),(166,1),(168,1),(170,1),(202,1),(203,1)}
       143:{2,3,5}:{(110,1),(111,1),(167,1),(169,1),(170,1)}
       144:{3,5,7}:{(112,1),(116,1),(149,1),(160,1),(171,1),(172,1)}
       145:{4,7}:{(113,1),(117,1)}
       146:{2,5,7}:{(114,1),(118,1),(120,1),(163,1)}
       147:{1,5,7}:{(115,1),(119,1),(121,1),(152,1)}
       148:{4,5}:{(116,1),(117,1)}
       149:{1,5,7}:{(122,1),(126,1),(144,1),(173,1)}
       150:{1,4,7}:{(123,1),(127,1),(145,1),(175,1)}
       151:{3,7}:{(124,1),(128,1)}
       152:{1,4,7}:{(125,1),(129,1),(147,1),(176,1)}
       153:{1,4,5}:{(126,1),(127,1),(148,1),(178,1)}
       154:{3,4,6}:{(127,1),(128,1),(130,1),(175,1),(178,1),(179,1),(204,1)}
       155:{1,3,6}:{(128,1),(129,1),(131,1),(176,1),(180,1)}
       156:{2,3,6}:{(128,1),(132,1),(177,1),(179,1),(180,1)}
       157:{1,3,4}:{(130,1),(131,1),(181,1)}
       158:{2,4}:{(130,1),(132,1)}
       159:{1,2,5}:{(131,1),(132,1),(180,1),(181,1)}
       160:{2,5,7}:{(133,1),(137,1),(144,1),(182,1)}
       161:{2,4,7}:{(134,1),(138,1),(145,1),(184,1)}
       162:{3,7}:{(135,1),(139,1)}
       163:{2,4,7}:{(136,1),(140,1),(146,1),(186,1)}
       164:{2,4,5}:{(137,1),(138,1),(148,1),(187,1)}
       165:{3,4,6}:{(138,1),(139,1),(141,1),(184,1),(187,1),(188,1),(206,1)}
       166:{1,3,6}:{(139,1),(142,1),(185,1),(188,1),(189,1)}
       167:{2,3,6}:{(139,1),(140,1),(143,1),(186,1),(189,1)}
       168:{1,4}:{(141,1),(142,1)}
       169:{2,3,4}:{(141,1),(143,1),(190,1)}
       170:{1,2,5}:{(142,1),(143,1),(189,1),(190,1)}
       171:{3,5,6}:{(144,1),(173,1),(182,1),(191,1),(204,1),(206,1)}
       172:{4,5,7}:{(144,1),(145,1),(148,1),(191,1)}
       173:{1,5,6}:{(149,1),(171,1),(192,1),(209,1)}
       174:{1,4,5,7}:{(149,1),(150,1),(153,1),(172,1),(192,1),(193,1)}
       175:{3,4,7}:{(150,1),(151,1),(154,1),(193,1),(194,1)}
       176:{1,3,7}:{(151,1),(152,1),(155,1),(195,1)}
       177:{2,3,7}:{(151,1),(156,1),(194,1),(195,1)}
       178:{3,5}:{(153,1),(154,1),(196,1)}
       179:{2,4,6}:{(154,1),(156,1),(158,1),(194,1),(196,1),(208,1)}
       180:{1,2,6}:{(155,1),(156,1),(159,1),(195,1)}
       181:{1,2,4}:{(157,1),(158,1),(159,1),(197,1)}
       182:{2,5,6}:{(160,1),(171,1),(198,1),(208,1)}
       183:{2,4,5,7}:{(160,1),(161,1),(164,1),(172,1),(198,1),(199,1)}
       184:{3,4,7}:{(161,1),(162,1),(165,1),(199,1),(200,1)}
       185:{1,3,7}:{(162,1),(166,1),(200,1),(201,1)}
       186:{2,3,7}:{(162,1),(163,1),(167,1),(201,1)}
       187:{3,5}:{(164,1),(165,1),(202,1)}
       188:{1,4,6}:{(165,1),(166,1),(168,1),(200,1),(202,1),(209,1)}
       189:{1,2,6}:{(166,1),(167,1),(170,1),(201,1)}
       190:{1,2,4}:{(168,1),(169,1),(170,1),(203,1)}
       191:{4,6}:{(171,1),(172,1)}
       192:{1,4,6}:{(173,1),(174,1),(191,1),(204,1)}
       193:{3,5,7}:{(174,1),(175,1),(178,1),(204,1),(205,1)}
       194:{2,4,7}:{(175,1),(177,1),(179,1),(205,1)}
       195:{1,2,7}:{(176,1),(177,1),(180,1)}
       196:{2,5}:{(178,1),(179,1)}
       197:{2,3}:{(181,1)}
       198:{2,4,6}:{(182,1),(183,1),(191,1),(206,1)}
       199:{3,5,7}:{(183,1),(184,1),(187,1),(206,1),(207,1)}
       200:{1,4,7}:{(184,1),(185,1),(188,1),(207,1)}
       201:{1,2,7}:{(185,1),(186,1),(189,1)}
       202:{1,5}:{(187,1),(188,1)}
       203:{1,3}:{(190,1)}
       204:{3,6}:{(192,1),(193,1),(208,1)}
       205:{2,5,7}:{(193,1),(194,1),(196,1),(208,1)}
       206:{3,6}:{(198,1),(199,1),(209,1)}
       207:{1,5,7}:{(199,1),(200,1),(202,1),(209,1)}
       208:{2,6}:{(204,1),(205,1)}
       209:{1,6}:{(206,1),(207,1)}

1217 :   0:{1,2,3,6}:{(2,1),(4,1),(5,1),(58,1),(61,1),(64,1)}
         1:{4,5,6}:{(6,1),(7,1),(67,1),(90,1)}
         2:{1,2,3,5}:{(0,1),(8,1),(10,1),(12,1),(18,1),(41,1),(44,1),(46,1)}
         3:{3,4,5}:{(13,1),(14,1),(15,1),(46,1),(50,1)}
         4:{1,2,3,7}:{(0,1),(17,1),(73,1),(76,1),(78,1)}
         5:{1,2,4,6}:{(0,1),(12,1),(16,1),(17,1),(18,1),(53,1)}
         6:{3,5,6}:{(1,1),(15,1),(19,1),(20,1),(21,1)}
         7:{4,5,7}:{(1,1),(21,1),(22,1),(81,1),(98,1)}
         8:{1,2,3}:{(23,1)}
         9:{2,3,4}:{(23,1),(24,1),(27,1)}
        10:{1,2,3}:{(25,1)}
        11:{1,3,4}:{(25,1),(26,1),(27,1)}
        12:{1,2,4}:{(2,1),(27,1)}
        13:{2,4,5}:{(3,1),(24,1),(29,1)}
        14:{1,4,5}:{(3,1),(26,1),(30,1)}
        15:{3,4,6}:{(3,1),(6,1),(29,1),(30,1),(31,1),(64,1),(67,1)}
        16:{3,4,6}:{(5,1),(27,1),(32,1),(33,1),(64,1),(67,1),(68,1)}
        17:{1,2,4,7}:{(4,1),(5,1),(32,1),(34,1)}
        18:{1,2,5}:{(5,1),(33,1)}
        19:{2,5,6}:{(6,1),(29,1),(36,1)}
        20:{1,5,6}:{(6,1),(30,1),(37,1)}
        21:{3,5,7}:{(6,1),(7,1),(31,1),(36,1),(37,1),(38,1)}
        22:{4,6,7}:{(7,1),(38,1),(39,1)}
        23:{1,2,4}:{(8,1),(9,1),(40,1),(41,1)}
        24:{2,3,5}:{(9,1),(13,1),(41,1),(42,1),(46,1)}
        25:{1,2,4}:{(10,1),(11,1),(43,1),(44,1)}
        26:{1,3,5}:{(11,1),(14,1),(44,1),(45,1),(46,1)}
        27:{3,4}:{(12,1),(46,1)}
        28:{1,2,4,5}:{(12,1),(13,1),(14,1),(18,1),(41,1),(44,1),(46,1),(47,1),(50,1),(71,1),(74,1)}
        29:{2,4,6}:{(13,1),(15,1),(19,1),(42,1),(48,1)}
        30:{1,4,6}:{(14,1),(15,1),(20,1),(45,1),(49,1)}
        31:{3,4,7}:{(15,1),(21,1),(48,1),(49,1),(78,1),(81,1)}
        32:{3,4,7}:{(16,1),(17,1),(51,1),(78,1),(81,1)}
        33:{3,5}:{(16,1),(18,1),(50,1)}
        34:{1,2,5,7}:{(17,1),(18,1),(51,1),(53,1)}
        35:{1,2,5,6}:{(18,1),(19,1),(20,1),(47,1),(52,1),(53,1),(54,1),(92,1),(94,1)}
        36:{2,5,7}:{(19,1),(21,1),(48,1),(55,1)}
        37:{1,5,7}:{(20,1),(21,1),(49,1),(56,1)}
        38:{3,6,7}:{(21,1),(22,1),(55,1),(56,1)}
        39:{5,6,7}:{(22,1),(98,1)}
        40:{1,3,4}:{(23,1),(27,1),(57,1)}
        41:{1,2,5}:{(23,1),(24,1),(57,1),(58,1)}
        42:{2,3,6}:{(24,1),(29,1),(58,1),(59,1),(64,1)}
        43:{2,3,4}:{(25,1),(27,1),(60,1)}
        44:{1,2,5}:{(25,1),(26,1),(60,1),(61,1)}
        45:{1,3,6}:{(26,1),(30,1),(61,1),(62,1),(64,1)}
        46:{3,5}:{(27,1),(28,1),(64,1)}
        47:{1,2,4,6}:{(28,1),(29,1),(30,1),(35,1),(58,1),(61,1),(64,1),(65,1),(67,1),(83,1),(85,1)}
        48:{2,4,7}:{(29,1),(31,1),(36,1),(59,1)}
        49:{1,4,7}:{(30,1),(31,1),(37,1),(62,1)}
        50:{4,5}:{(33,1),(67,1)}
        51:{3,5,7}:{(32,1),(33,1),(34,1),(66,1),(68,1)}
        52:{3,5,6}:{(33,1),(35,1),(64,1),(67,1),(68,1),(69,1),(90,1)}
        53:{1,2,6}:{(34,1),(68,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(37,1),(65,1),(69,1),(70,1),(99,1),(100,1)}
        55:{2,6,7}:{(36,1),(38,1)}
        56:{1,6,7}:{(37,1),(38,1)}
        57:{1,3,5}:{(40,1),(41,1),(46,1),(71,1),(72,1)}
        58:{1,2,6}:{(41,1),(42,1),(72,1),(73,1)}
        59:{2,3,7}:{(42,1),(48,1),(73,1),(78,1)}
        60:{2,3,5}:{(43,1),(44,1),(46,1),(74,1),(75,1)}
        61:{1,2,6}:{(44,1),(45,1),(75,1),(76,1)}
        62:{1,3,7}:{(45,1),(49,1),(76,1),(78,1)}
        63:{3,4,5}:{(46,1),(50,1),(71,1),(74,1),(77,1)}
        64:{3,6}:{(46,1),(47,1),(78,1)}
        65:{1,2,4,7}:{(47,1),(48,1),(49,1),(54,1),(73,1),(76,1),(78,1),(81,1),(93,1),(95,1)}
        66:{4,5,7}:{(50,1),(51,1),(80,1),(81,1),(98,1)}
        67:{4,6}:{(50,1),(52,1),(81,1)}
        68:{3,6}:{(51,1),(53,1),(80,1)}
        69:{3,5,7}:{(52,1),(54,1),(78,1),(81,1),(82,1),(98,1)}
        70:{1,2,6,7}:{(53,1),(54,1),(55,1),(56,1),(82,1),(103,1),(104,1)}
        71:{1,4,5}:{(57,1),(63,1),(83,1)}
        72:{1,3,6}:{(57,1),(58,1),(64,1),(83,1),(84,1)}
        73:{1,2,7}:{(58,1),(59,1),(84,1)}
        74:{2,4,5}:{(60,1),(63,1),(85,1)}
        75:{2,3,6}:{(60,1),(61,1),(64,1),(85,1),(86,1)}
        76:{1,2,7}:{(61,1),(62,1),(86,1)}
        77:{3,4,6}:{(63,1),(64,1),(67,1),(83,1),(85,1),(87,1),(88,1)}
        78:{3,7}:{(64,1),(65,1)}
        79:{4,5,6}:{(67,1),(87,1),(89,1),(90,1)}
        80:{4,6}:{(66,1),(68,1),(90,1)}
        81:{4,7}:{(67,1),(69,1)}
        82:{3,6,7}:{(68,1),(69,1),(70,1),(91,1)}
        83:{1,4,6}:{(71,1),(72,1),(77,1),(92,1),(93,1)}
        84:{1,3,7}:{(72,1),(73,1),(78,1),(93,1)}
        85:{2,4,6}:{(74,1),(75,1),(77,1),(94,1),(95,1)}
        86:{2,3,7}:{(75,1),(76,1),(78,1),(95,1)}
        87:{3,5,6}:{(77,1),(79,1),(92,1),(94,1),(96,1)}
        88:{3,4,7}:{(77,1),(78,1),(81,1),(93,1),(95,1),(96,1)}
        89:{4,5,7}:{(79,1),(81,1),(96,1),(97,1),(98,1)}
        90:{5,6}:{(80,1),(98,1)}
        91:{4,6,7}:{(80,1),(81,1),(82,1),(98,1)}
        92:{1,5,6}:{(83,1),(87,1),(99,1)}
        93:{1,4,7}:{(83,1),(84,1),(88,1),(99,1)}
        94:{2,5,6}:{(85,1),(87,1),(100,1)}
        95:{2,4,7}:{(85,1),(86,1),(88,1),(100,1)}
        96:{3,5,7}:{(87,1),(88,1),(89,1),(99,1),(100,1),(101,1)}
        97:{4,6,7}:{(89,1),(101,1),(102,1)}
        98:{5,7}:{(90,1),(91,1)}
        99:{1,5,7}:{(92,1),(93,1),(96,1),(103,1)}
       100:{2,5,7}:{(94,1),(95,1),(96,1),(104,1)}
       101:{3,6,7}:{(96,1),(97,1),(103,1),(104,1)}
       102:{5,6,7}:{(97,1),(98,1)}
       103:{1,6,7}:{(99,1),(101,1)}
       104:{2,6,7}:{(100,1),(101,1)}

1218 :  0:{4,5,6}:{(3,1),(4,1),(51,1),(81,1)}
        1:{3,4,5}:{(7,1),(8,1),(9,1),(35,1),(62,1)}
        2:{5,6,7}:{(10,1),(76,1)}
        3:{4,5,7}:{(0,1),(10,1),(11,1),(61,1),(76,1)}
        4:{3,5,6}:{(0,1),(7,1),(11,1),(12,1),(13,1)}
        5:{2,3,4}:{(14,1),(15,1),(48,1)}
        6:{1,3,4}:{(16,1),(17,1),(48,1)}
        7:{3,4,6}:{(1,1),(4,1),(18,1),(19,1),(20,1),(47,1),(51,1)}
        8:{1,4,5}:{(1,1),(16,1),(19,1)}
        9:{2,4,5}:{(1,1),(14,1),(20,1)}
       10:{4,6,7}:{(2,1),(3,1),(22,1)}
       11:{3,5,7}:{(3,1),(4,1),(18,1),(22,1),(23,1),(24,1)}
       12:{1,5,6}:{(4,1),(19,1),(23,1)}
       13:{2,5,6}:{(4,1),(20,1),(24,1)}
       14:{2,3,5}:{(5,1),(9,1),(26,1),(27,1),(35,1)}
       15:{1,2,4}:{(5,1),(27,1),(28,1),(54,1)}
       16:{1,3,5}:{(6,1),(8,1),(29,1),(30,1),(35,1)}
       17:{1,2,4}:{(6,1),(30,1),(31,1),(57,1)}
       18:{3,4,7}:{(7,1),(11,1),(32,1),(33,1),(58,1),(61,1)}
       19:{1,4,6}:{(7,1),(8,1),(12,1),(29,1),(32,1)}
       20:{2,4,6}:{(7,1),(9,1),(13,1),(26,1),(33,1)}
       21:{1,2,4,5}:{(8,1),(9,1),(27,1),(30,1),(34,1),(35,1),(54,1),(57,1),(62,1),(72,1),(74,1)}
       22:{3,6,7}:{(10,1),(11,1),(36,1),(37,1)}
       23:{1,5,7}:{(11,1),(12,1),(32,1),(36,1)}
       24:{2,5,7}:{(11,1),(13,1),(33,1),(37,1)}
       25:{1,2,5,6}:{(12,1),(13,1),(34,1),(38,1),(39,1),(72,1),(74,1),(82,1),(83,1)}
       26:{2,3,6}:{(14,1),(20,1),(40,1),(41,1),(47,1)}
       27:{1,2,5}:{(14,1),(15,1),(41,1),(42,1)}
       28:{1,3}:{(15,1)}
       29:{1,3,6}:{(16,1),(19,1),(43,1),(44,1),(47,1)}
       30:{1,2,5}:{(16,1),(17,1),(44,1),(45,1)}
       31:{2,3}:{(17,1)}
       32:{1,4,7}:{(18,1),(19,1),(23,1),(43,1)}
       33:{2,4,7}:{(18,1),(20,1),(24,1),(40,1)}
       34:{1,2,4,6}:{(19,1),(20,1),(21,1),(25,1),(41,1),(44,1),(46,1),(47,1),(51,1),(64,1),(66,1)}
       35:{3,5}:{(21,1),(47,1),(48,1)}
       36:{1,6,7}:{(22,1),(23,1)}
       37:{2,6,7}:{(22,1),(24,1)}
       38:{1,2,5,7}:{(23,1),(24,1),(25,1),(46,1),(49,1),(50,1),(78,1),(79,1)}
       39:{3,5,6}:{(25,1),(47,1),(50,1),(51,1),(68,1),(80,1),(81,1)}
       40:{2,3,7}:{(26,1),(33,1),(52,1),(58,1)}
       41:{1,2,6}:{(26,1),(27,1),(52,1),(53,1)}
       42:{1,3,5}:{(27,1),(28,1),(35,1),(53,1),(54,1),(72,1)}
       43:{1,3,7}:{(29,1),(32,1),(55,1),(58,1)}
       44:{1,2,6}:{(29,1),(30,1),(55,1),(56,1)}
       45:{2,3,5}:{(30,1),(31,1),(35,1),(56,1),(57,1),(74,1)}
       46:{1,2,4,7}:{(32,1),(33,1),(34,1),(38,1),(52,1),(55,1),(58,1),(61,1),(71,1),(73,1)}
       47:{3,6}:{(34,1),(35,1),(58,1)}
       48:{3,4}:{(35,1),(54,1),(57,1)}
       49:{1,2,6,7}:{(36,1),(37,1),(38,1),(60,1),(82,1),(83,1)}
       50:{3,5,7}:{(38,1),(39,1),(58,1),(60,1),(61,1),(76,1)}
       51:{4,6}:{(39,1),(61,1),(62,1)}
       52:{1,2,7}:{(40,1),(41,1),(63,1)}
       53:{1,3,6}:{(41,1),(42,1),(47,1),(63,1),(64,1)}
       54:{1,4}:{(42,1),(48,1)}
       55:{1,2,7}:{(43,1),(44,1),(65,1)}
       56:{2,3,6}:{(44,1),(45,1),(47,1),(65,1),(66,1)}
       57:{2,4}:{(45,1),(48,1)}
       58:{3,7}:{(46,1),(47,1)}
       59:{3,4,6}:{(47,1),(48,1),(51,1),(64,1),(66,1),(67,1),(68,1),(80,1)}
       60:{3,6,7}:{(49,1),(50,1),(69,1),(80,1)}
       61:{4,7}:{(50,1),(51,1)}
       62:{4,5}:{(51,1),(68,1)}
       63:{1,3,7}:{(52,1),(53,1),(58,1),(71,1)}
       64:{1,4,6}:{(53,1),(54,1),(59,1),(71,1),(72,1),(82,1)}
       65:{2,3,7}:{(55,1),(56,1),(58,1),(73,1)}
       66:{2,4,6}:{(56,1),(57,1),(59,1),(73,1),(74,1),(83,1)}
       67:{3,4,7}:{(58,1),(59,1),(61,1),(71,1),(73,1),(75,1)}
       68:{3,5}:{(59,1),(62,1),(72,1),(74,1)}
       69:{4,6,7}:{(60,1),(61,1),(76,1),(77,1)}
       70:{4,5,7}:{(61,1),(62,1),(75,1),(76,1),(77,1)}
       71:{1,4,7}:{(63,1),(64,1),(67,1),(78,1)}
       72:{1,5}:{(64,1),(68,1)}
       73:{2,4,7}:{(65,1),(66,1),(67,1),(79,1)}
       74:{2,5}:{(66,1),(68,1)}
       75:{3,5,7}:{(67,1),(68,1),(70,1),(78,1),(79,1),(80,1)}
       76:{5,7}:{(69,1),(81,1)}
       77:{4,6}:{(70,1),(80,1),(81,1)}
       78:{1,5,7}:{(71,1),(72,1),(75,1),(82,1)}
       79:{2,5,7}:{(73,1),(74,1),(75,1),(83,1)}
       80:{3,6}:{(75,1),(77,1),(82,1),(83,1)}
       81:{5,6}:{(76,1),(77,1)}
       82:{1,6}:{(78,1),(80,1)}
       83:{2,6}:{(79,1),(80,1)}

1219 :   0:{1,2,3,7}:{(1,1),(2,1),(51,1),(76,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(5,1),(38,1),(62,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(5,1),(6,1)}
         3:{3,4,7}:{(2,1),(7,1),(8,1),(47,1),(51,1)}
         4:{1,2,3,5}:{(1,1),(9,1),(10,1),(23,1),(26,1),(48,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(10,1),(11,1)}
         6:{1,2,5,7}:{(2,1),(8,1),(10,1),(11,1)}
         7:{3,4,6}:{(3,1),(5,1),(13,1),(14,1),(15,1),(33,1),(38,1)}
         8:{3,5,7}:{(3,1),(6,1),(12,1),(13,1),(14,1)}
         9:{1,2,4}:{(4,1),(15,1)}
        10:{1,2,5}:{(5,1),(13,1)}
        11:{1,2,6}:{(6,1),(14,1)}
        12:{4,5,7}:{(8,1),(19,1),(20,1),(42,1),(47,1)}
        13:{3,5}:{(7,1),(10,1),(20,1)}
        14:{3,6}:{(8,1),(11,1),(19,1)}
        15:{3,4}:{(9,1),(26,1)}
        16:{1,2,4,5}:{(9,1),(10,1),(20,1),(26,1),(27,1),(44,1),(45,1),(48,1)}
        17:{1,2,5,6}:{(10,1),(11,1),(21,1),(27,1),(28,1),(69,1),(70,1)}
        18:{1,2,6,7}:{(11,1),(22,1),(28,1),(88,1),(89,1)}
        19:{4,6}:{(12,1),(14,1),(29,1)}
        20:{4,5}:{(13,1),(33,1)}
        21:{3,5,6}:{(13,1),(14,1),(17,1),(29,1),(33,1),(34,1),(38,1)}
        22:{3,6,7}:{(14,1),(18,1),(30,1),(34,1)}
        23:{1,2,3}:{(35,1)}
        24:{2,3,4}:{(15,1),(35,1),(36,1),(57,1)}
        25:{1,3,4}:{(15,1),(35,1),(37,1),(57,1)}
        26:{3,5}:{(15,1),(16,1),(38,1)}
        27:{1,2,4,6}:{(16,1),(17,1),(33,1),(38,1),(39,1),(59,1),(60,1),(62,1)}
        28:{1,2,5,7}:{(17,1),(18,1),(34,1),(39,1),(82,1),(83,1)}
        29:{5,6}:{(19,1),(42,1)}
        30:{4,6,7}:{(19,1),(22,1),(42,1),(47,1)}
        31:{1,2,3,5}:{(23,1),(40,1),(43,1),(48,1),(68,1),(72,1)}
        32:{3,4,5}:{(20,1),(26,1),(44,1),(45,1),(46,1),(72,1),(90,1)}
        33:{4,6}:{(20,1),(21,1),(47,1)}
        34:{3,5,7}:{(21,1),(22,1),(28,1),(42,1),(47,1),(51,1)}
        35:{1,2,4}:{(23,1),(24,1),(25,1),(48,1)}
        36:{2,3,5}:{(24,1),(26,1),(44,1),(48,1),(49,1),(72,1)}
        37:{1,3,5}:{(25,1),(26,1),(45,1),(48,1),(50,1),(72,1)}
        38:{3,6}:{(26,1),(27,1),(51,1)}
        39:{1,2,4,7}:{(27,1),(28,1),(47,1),(51,1),(74,1),(75,1),(76,1)}
        40:{1,2,3,6}:{(31,1),(52,1),(54,1),(62,1),(84,1)}
        41:{4,5,6}:{(29,1),(33,1),(55,1),(56,1),(97,1),(102,1)}
        42:{5,7}:{(29,1),(30,1)}
        43:{1,2,4}:{(31,1),(57,1)}
        44:{2,4,5}:{(32,1),(36,1),(59,1)}
        45:{1,4,5}:{(32,1),(37,1),(60,1)}
        46:{3,4,6}:{(32,1),(33,1),(38,1),(55,1),(59,1),(60,1),(61,1),(84,1),(97,1)}
        47:{4,7}:{(33,1),(34,1)}
        48:{1,2,5}:{(35,1),(36,1),(37,1),(62,1)}
        49:{2,3,6}:{(36,1),(38,1),(59,1),(62,1),(63,1),(84,1)}
        50:{1,3,6}:{(37,1),(38,1),(60,1),(62,1),(64,1),(84,1)}
        51:{3,7}:{(38,1),(39,1)}
        52:{1,2,3,7}:{(40,1),(65,1),(76,1),(93,1)}
        53:{5,6,7}:{(42,1),(66,1),(104,1)}
        54:{1,2,4,6}:{(40,1),(43,1),(65,1),(67,1),(68,1),(87,1)}
        55:{3,5,6}:{(41,1),(46,1),(69,1),(70,1),(71,1)}
        56:{4,5,7}:{(41,1),(42,1),(47,1),(66,1),(71,1),(101,1),(104,1)}
        57:{3,4}:{(43,1),(72,1)}
        58:{1,2,4,5}:{(43,1),(44,1),(45,1),(48,1),(68,1),(72,1),(73,1),(90,1)}
        59:{2,4,6}:{(44,1),(46,1),(49,1),(69,1),(74,1)}
        60:{1,4,6}:{(45,1),(46,1),(50,1),(70,1),(75,1)}
        61:{3,4,7}:{(46,1),(47,1),(51,1),(71,1),(74,1),(75,1),(93,1),(101,1)}
        62:{1,2,6}:{(48,1),(49,1),(50,1),(76,1)}
        63:{2,3,7}:{(49,1),(51,1),(74,1),(76,1),(93,1)}
        64:{1,3,7}:{(50,1),(51,1),(75,1),(76,1),(93,1)}
        65:{1,2,4,7}:{(52,1),(54,1),(77,1),(78,1)}
        66:{4,6,7}:{(53,1),(56,1),(79,1)}
        67:{3,4,6}:{(54,1),(57,1),(77,1),(80,1),(84,1),(95,1),(97,1)}
        68:{1,2,5}:{(54,1),(80,1)}
        69:{2,5,6}:{(55,1),(59,1),(82,1)}
        70:{1,5,6}:{(55,1),(60,1),(83,1)}
        71:{3,5,7}:{(55,1),(56,1),(61,1),(79,1),(82,1),(83,1)}
        72:{3,5}:{(57,1),(58,1),(84,1)}
        73:{1,2,4,6}:{(58,1),(59,1),(60,1),(62,1),(81,1),(84,1),(85,1),(97,1)}
        74:{2,4,7}:{(59,1),(61,1),(63,1),(82,1)}
        75:{1,4,7}:{(60,1),(61,1),(64,1),(83,1)}
        76:{1,2,7}:{(62,1),(63,1),(64,1)}
        77:{3,4,7}:{(65,1),(67,1),(86,1),(93,1),(101,1)}
        78:{1,2,5,7}:{(65,1),(68,1),(86,1),(87,1)}
        79:{3,6,7}:{(66,1),(71,1),(88,1),(89,1)}
        80:{3,5}:{(67,1),(68,1),(90,1)}
        81:{1,2,5,6}:{(68,1),(69,1),(70,1),(73,1),(87,1),(91,1),(92,1)}
        82:{2,5,7}:{(69,1),(71,1),(74,1),(88,1)}
        83:{1,5,7}:{(70,1),(71,1),(75,1),(89,1)}
        84:{3,6}:{(72,1),(73,1),(93,1)}
        85:{1,2,4,7}:{(73,1),(74,1),(75,1),(76,1),(92,1),(93,1),(101,1)}
        86:{3,5,7}:{(77,1),(78,1),(80,1),(94,1),(95,1)}
        87:{1,2,6}:{(78,1),(95,1)}
        88:{2,6,7}:{(79,1),(82,1)}
        89:{1,6,7}:{(79,1),(83,1)}
        90:{4,5}:{(80,1),(97,1)}
        91:{3,5,6}:{(80,1),(81,1),(84,1),(95,1),(97,1),(98,1),(102,1)}
        92:{1,2,5,7}:{(81,1),(82,1),(83,1),(85,1),(96,1),(98,1)}
        93:{3,7}:{(84,1),(85,1)}
        94:{4,5,7}:{(86,1),(90,1),(99,1),(101,1),(104,1)}
        95:{3,6}:{(86,1),(87,1),(99,1)}
        96:{1,2,6,7}:{(87,1),(88,1),(89,1),(92,1),(100,1)}
        97:{4,6}:{(90,1),(91,1),(101,1)}
        98:{3,5,7}:{(91,1),(92,1),(93,1),(100,1),(101,1),(104,1)}
        99:{4,6}:{(94,1),(95,1),(102,1)}
       100:{3,6,7}:{(95,1),(96,1),(98,1),(103,1)}
       101:{4,7}:{(97,1),(98,1)}
       102:{5,6}:{(99,1),(104,1)}
       103:{4,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{5,7}:{(102,1),(103,1)}

1220 :  0:{5,6,7}:{(2,1),(64,1)}
        1:{4,5,6}:{(4,1),(5,1),(52,1),(72,1)}
        2:{4,6,7}:{(0,1),(4,1),(6,1)}
        3:{3,4,5}:{(9,1),(10,1),(11,1),(38,1),(63,1)}
        4:{4,5,7}:{(1,1),(2,1),(12,1),(62,1),(64,1)}
        5:{3,5,6}:{(1,1),(9,1),(12,1),(13,1),(14,1)}
        6:{3,6,7}:{(2,1),(12,1),(15,1),(16,1)}
        7:{2,3,4}:{(17,1),(18,1),(50,1)}
        8:{1,3,4}:{(19,1),(20,1),(50,1)}
        9:{3,4,6}:{(3,1),(5,1),(21,1),(22,1),(23,1),(49,1),(52,1)}
       10:{1,4,5}:{(3,1),(19,1),(22,1)}
       11:{2,4,5}:{(3,1),(17,1),(23,1)}
       12:{3,5,7}:{(4,1),(5,1),(6,1),(21,1),(25,1),(26,1)}
       13:{1,5,6}:{(5,1),(22,1),(25,1)}
       14:{2,5,6}:{(5,1),(23,1),(26,1)}
       15:{1,6,7}:{(6,1),(25,1)}
       16:{2,6,7}:{(6,1),(26,1)}
       17:{2,3,5}:{(7,1),(11,1),(29,1),(30,1),(38,1)}
       18:{1,2,4}:{(7,1),(30,1),(31,1),(56,1)}
       19:{1,3,5}:{(8,1),(10,1),(32,1),(33,1),(38,1)}
       20:{1,2,4}:{(8,1),(33,1),(34,1),(59,1)}
       21:{3,4,7}:{(9,1),(12,1),(35,1),(36,1),(60,1),(62,1)}
       22:{1,4,6}:{(9,1),(10,1),(13,1),(32,1),(35,1)}
       23:{2,4,6}:{(9,1),(11,1),(14,1),(29,1),(36,1)}
       24:{1,2,4,5}:{(10,1),(11,1),(30,1),(33,1),(37,1),(38,1),(56,1),(59,1),(63,1),(74,1),(76,1)}
       25:{1,5,7}:{(12,1),(13,1),(15,1),(35,1)}
       26:{2,5,7}:{(12,1),(14,1),(16,1),(36,1)}
       27:{1,2,5,6}:{(13,1),(14,1),(37,1),(39,1),(40,1),(74,1),(76,1),(82,1),(83,1)}
       28:{1,2,6,7}:{(15,1),(16,1),(39,1),(41,1),(82,1),(83,1)}
       29:{2,3,6}:{(17,1),(23,1),(42,1),(43,1),(49,1)}
       30:{1,2,5}:{(17,1),(18,1),(43,1),(44,1)}
       31:{1,3}:{(18,1)}
       32:{1,3,6}:{(19,1),(22,1),(45,1),(46,1),(49,1)}
       33:{1,2,5}:{(19,1),(20,1),(46,1),(47,1)}
       34:{2,3}:{(20,1)}
       35:{1,4,7}:{(21,1),(22,1),(25,1),(45,1)}
       36:{2,4,7}:{(21,1),(23,1),(26,1),(42,1)}
       37:{1,2,4,6}:{(22,1),(23,1),(24,1),(27,1),(43,1),(46,1),(48,1),(49,1),(52,1),(66,1),(68,1)}
       38:{3,5}:{(24,1),(49,1),(50,1)}
       39:{1,2,5,7}:{(25,1),(26,1),(27,1),(28,1),(48,1),(51,1),(79,1),(80,1)}
       40:{3,5,6}:{(27,1),(49,1),(51,1),(52,1),(70,1),(72,1),(81,1)}
       41:{3,6,7}:{(28,1),(51,1),(53,1),(81,1)}
       42:{2,3,7}:{(29,1),(36,1),(54,1),(60,1)}
       43:{1,2,6}:{(29,1),(30,1),(54,1),(55,1)}
       44:{1,3,5}:{(30,1),(31,1),(38,1),(55,1),(56,1),(74,1)}
       45:{1,3,7}:{(32,1),(35,1),(57,1),(60,1)}
       46:{1,2,6}:{(32,1),(33,1),(57,1),(58,1)}
       47:{2,3,5}:{(33,1),(34,1),(38,1),(58,1),(59,1),(76,1)}
       48:{1,2,4,7}:{(35,1),(36,1),(37,1),(39,1),(54,1),(57,1),(60,1),(62,1),(73,1),(75,1)}
       49:{3,6}:{(37,1),(38,1),(60,1)}
       50:{3,4}:{(38,1),(56,1),(59,1)}
       51:{3,5,7}:{(39,1),(40,1),(41,1),(60,1),(62,1),(64,1)}
       52:{4,6}:{(40,1),(62,1),(63,1)}
       53:{4,6,7}:{(41,1),(62,1),(64,1),(78,1)}
       54:{1,2,7}:{(42,1),(43,1),(65,1)}
       55:{1,3,6}:{(43,1),(44,1),(49,1),(65,1),(66,1)}
       56:{1,4}:{(44,1),(50,1)}
       57:{1,2,7}:{(45,1),(46,1),(67,1)}
       58:{2,3,6}:{(46,1),(47,1),(49,1),(67,1),(68,1)}
       59:{2,4}:{(47,1),(50,1)}
       60:{3,7}:{(48,1),(49,1)}
       61:{3,4,6}:{(49,1),(50,1),(52,1),(66,1),(68,1),(69,1),(70,1),(81,1)}
       62:{4,7}:{(51,1),(52,1)}
       63:{4,5}:{(52,1),(70,1)}
       64:{5,7}:{(53,1),(72,1)}
       65:{1,3,7}:{(54,1),(55,1),(60,1),(73,1)}
       66:{1,4,6}:{(55,1),(56,1),(61,1),(73,1),(74,1),(82,1)}
       67:{2,3,7}:{(57,1),(58,1),(60,1),(75,1)}
       68:{2,4,6}:{(58,1),(59,1),(61,1),(75,1),(76,1),(83,1)}
       69:{3,4,7}:{(60,1),(61,1),(62,1),(73,1),(75,1),(77,1)}
       70:{3,5}:{(61,1),(63,1),(74,1),(76,1)}
       71:{4,5,7}:{(62,1),(63,1),(64,1),(77,1),(78,1)}
       72:{5,6}:{(64,1),(78,1)}
       73:{1,4,7}:{(65,1),(66,1),(69,1),(79,1)}
       74:{1,5}:{(66,1),(70,1)}
       75:{2,4,7}:{(67,1),(68,1),(69,1),(80,1)}
       76:{2,5}:{(68,1),(70,1)}
       77:{3,5,7}:{(69,1),(70,1),(71,1),(79,1),(80,1),(81,1)}
       78:{4,6}:{(71,1),(72,1),(81,1)}
       79:{1,5,7}:{(73,1),(74,1),(77,1),(82,1)}
       80:{2,5,7}:{(75,1),(76,1),(77,1),(83,1)}
       81:{3,6}:{(77,1),(78,1),(82,1),(83,1)}
       82:{1,6}:{(79,1),(81,1)}
       83:{2,6}:{(80,1),(81,1)}

1221 :  0:{1,2,3}:{(1,1)}
        1:{1,2,4}:{(0,1),(2,1),(3,1)}
        2:{3,4}:{(1,1),(4,1)}
        3:{1,2,5}:{(1,1),(4,1),(5,1)}
        4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
        5:{1,2,6}:{(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:{1,2,7}:{(5,1),(10,1)}
        9:{4,6}:{(6,1),(7,1),(11,1),(12,1)}
       10:{3,7}:{(7,1),(8,1),(12,1)}
       11:{5,6}:{(9,1),(13,1)}
       12:{4,7}:{(9,1),(10,1),(13,1)}
       13:{5,7}:{(11,1),(12,1),(14,1)}
       14:{6,7}:{(13,1)}

1222 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(31,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(42,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(14,1),(34,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(7,1),(19,1),(38,1),(39,1),(42,1),(43,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(19,1)}
        7:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(47,1),(48,1)}
        8:{1,2,4,5,6}:{(5,1),(12,1),(14,1),(32,1),(33,1),(34,1)}
        9:{3,4,6}:{(5,1),(6,1),(14,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(29,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(30,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(19,1),(40,1),(41,1),(42,1)}
       13:{3,4,6,7}:{(7,1),(9,1),(19,1)}
       14:{3,5,6}:{(8,1),(9,1),(19,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(23,1),(25,1),(58,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(24,1),(25,1),(58,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(42,1),(57,1),(59,1)}
       18:{1,2,4,5,6,7}:{(12,1),(27,1),(47,1),(48,1),(49,1)}
       19:{3,5,7}:{(12,1),(13,1),(14,1)}
       20:{1,3,4,6,7}:{(13,1),(15,1),(29,1),(31,1),(47,1),(60,1),(61,1)}
       21:{2,3,4,6,7}:{(13,1),(16,1),(30,1),(31,1),(48,1),(60,1),(61,1)}
       22:{3,4,5,6}:{(14,1),(28,1),(32,1),(33,1),(52,1)}
       23:{1,3,5,6}:{(14,1),(15,1),(29,1),(32,1),(34,1),(52,1)}
       24:{2,3,5,6}:{(14,1),(16,1),(30,1),(33,1),(34,1),(52,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,5,6,7}:{(18,1),(19,1),(37,1)}
       28:{3,4,5,7}:{(19,1),(22,1),(37,1),(40,1),(41,1),(56,1)}
       29:{1,3,5,7}:{(19,1),(20,1),(23,1),(40,1),(42,1),(56,1)}
       30:{2,3,5,7}:{(19,1),(21,1),(24,1),(41,1),(42,1),(56,1)}
       31:{1,2,4,6,7}:{(20,1),(21,1),(25,1),(42,1),(43,1),(57,1)}
       32:{1,4,5,6}:{(22,1),(23,1),(40,1)}
       33:{2,4,5,6}:{(22,1),(24,1),(41,1)}
       34:{1,2,5,6}:{(23,1),(24,1),(25,1),(42,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(57,1)}
       37:{3,4,6,7}:{(27,1),(28,1),(47,1),(48,1),(60,1)}
       38:{1,3,5,6,7}:{(27,1),(29,1),(47,1),(49,1),(60,1)}
       39:{2,3,5,6,7}:{(27,1),(30,1),(48,1),(49,1),(60,1)}
       40:{1,4,5,7}:{(28,1),(29,1),(32,1),(47,1)}
       41:{2,4,5,7}:{(28,1),(30,1),(33,1),(48,1)}
       42:{1,2,5,7}:{(29,1),(30,1),(31,1),(34,1)}
       43:{1,2,3,6,7}:{(31,1),(35,1),(51,1),(60,1)}
       44:{1,2,4,5,6}:{(32,1),(33,1),(34,1),(50,1),(52,1),(53,1)}
       45:{1,2,3,5,6}:{(34,1),(35,1),(51,1),(52,1),(53,1),(54,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(40,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(41,1)}
       49:{1,2,5,6,7}:{(38,1),(39,1),(42,1),(55,1)}
       50:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(44,1),(55,1),(56,1),(57,1)}
       51:{1,2,3,5,7}:{(42,1),(43,1),(45,1),(56,1),(57,1)}
       52:{3,5,6}:{(44,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(45,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(50,1),(60,1)}
       56:{3,5,7}:{(50,1),(52,1),(60,1),(61,1)}
       57:{1,2,4,7}:{(51,1),(53,1),(61,1)}
       58:{3,4,6}:{(52,1),(53,1),(61,1),(62,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(58,1),(59,1)}

1223 :   0:{1,2,3,6,7}:{(2,1),(3,1),(49,1),(60,1),(61,1),(84,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(15,1),(17,1),(25,1),(26,1),(49,1),(52,1),(54,1),(84,1)}
         2:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(9,1),(30,1),(74,1),(75,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(7,1),(9,1),(31,1),(42,1),(43,1),(70,1),(72,1)}
         4:{1,2,4,6}:{(1,1),(8,1),(9,1),(10,1),(39,1),(40,1)}
         5:{1,2,4,5,6}:{(8,1),(12,1),(13,1),(30,1),(39,1),(40,1),(44,1),(63,1),(91,1),(92,1)}
         6:{3,4,6,7}:{(2,1),(14,1),(18,1),(45,1),(49,1)}
         7:{1,2,5,7}:{(2,1),(14,1),(15,1),(87,1),(88,1)}
         8:{1,2,4,5}:{(4,1),(17,1),(47,1),(48,1),(52,1)}
         9:{1,2,4,7}:{(3,1),(4,1),(18,1),(57,1),(58,1)}
        10:{3,4,6}:{(4,1),(17,1),(18,1),(49,1)}
        11:{1,2,5,6,7}:{(15,1),(21,1),(23,1),(87,1),(88,1)}
        12:{1,2,4,5,7}:{(5,1),(23,1),(24,1),(55,1),(57,1),(58,1),(62,1),(87,1),(88,1)}
        13:{3,5,6}:{(5,1),(17,1),(22,1),(24,1),(49,1)}
        14:{3,5,7}:{(6,1),(7,1),(27,1),(28,1)}
        15:{1,2,5,6}:{(7,1),(27,1),(30,1),(91,1),(92,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(28,1),(30,1),(31,1),(65,1),(66,1),(70,1)}
        17:{3,5}:{(8,1),(10,1)}
        18:{3,4,7}:{(9,1),(10,1),(31,1)}
        19:{1,3,4,6}:{(10,1),(32,1),(34,1),(36,1),(39,1),(68,1),(77,1),(95,1),(106,1)}
        20:{2,3,4,6}:{(10,1),(33,1),(35,1),(36,1),(40,1),(69,1),(77,1),(95,1),(106,1)}
        21:{3,5,6,7}:{(11,1),(27,1),(37,1),(41,1),(73,1)}
        22:{3,4,6}:{(13,1),(29,1),(38,1),(39,1),(40,1),(77,1)}
        23:{1,2,4,6,7}:{(11,1),(12,1),(30,1),(37,1),(41,1),(74,1),(75,1),(78,1)}
        24:{3,5,7}:{(12,1),(13,1),(38,1),(41,1)}
        25:{1,3,5,6}:{(13,1),(32,1),(39,1),(42,1),(44,1),(68,1),(77,1),(91,1),(105,1)}
        26:{2,3,5,6}:{(13,1),(33,1),(40,1),(43,1),(44,1),(69,1),(77,1),(92,1),(105,1)}
        27:{3,5,6}:{(14,1),(15,1),(45,1),(49,1)}
        28:{4,5,7}:{(14,1),(45,1)}
        29:{3,4,5}:{(17,1),(22,1),(47,1),(48,1),(83,1)}
        30:{1,2,4,6}:{(15,1),(16,1),(45,1),(49,1),(80,1),(81,1),(84,1)}
        31:{3,5,7}:{(16,1),(17,1),(18,1),(49,1)}
        32:{1,3,5}:{(17,1),(19,1),(47,1),(52,1),(83,1),(110,1)}
        33:{2,3,5}:{(17,1),(20,1),(48,1),(52,1),(83,1),(110,1)}
        34:{1,3,4,7}:{(18,1),(19,1),(50,1),(53,1),(57,1),(90,1),(102,1)}
        35:{2,3,4,7}:{(18,1),(20,1),(51,1),(53,1),(58,1),(90,1),(102,1)}
        36:{1,2,4,6}:{(19,1),(20,1),(52,1),(53,1),(54,1),(84,1),(86,1)}
        37:{4,6,7}:{(21,1),(45,1),(55,1)}
        38:{3,4,7}:{(22,1),(24,1),(57,1),(58,1),(90,1)}
        39:{1,4,6}:{(22,1),(25,1),(47,1),(57,1),(109,1)}
        40:{2,4,6}:{(22,1),(26,1),(48,1),(58,1),(109,1)}
        41:{3,6,7}:{(23,1),(24,1),(49,1)}
        42:{1,3,5,7}:{(24,1),(25,1),(57,1),(60,1),(62,1),(87,1),(90,1),(104,1)}
        43:{2,3,5,7}:{(24,1),(26,1),(58,1),(61,1),(62,1),(88,1),(90,1),(104,1)}
        44:{1,2,5,6}:{(25,1),(26,1),(52,1),(59,1),(62,1),(84,1)}
        45:{4,6}:{(27,1),(28,1)}
        46:{3,4,5,7}:{(28,1),(29,1),(31,1),(38,1),(64,1),(65,1),(66,1),(73,1),(94,1),(108,1),(111,1)}
        47:{1,4,5}:{(29,1),(32,1),(39,1),(111,1)}
        48:{2,4,5}:{(29,1),(33,1),(40,1),(111,1)}
        49:{3,6}:{(30,1),(31,1)}
        50:{1,3,5,7}:{(31,1),(32,1),(34,1),(65,1),(68,1),(70,1),(94,1)}
        51:{2,3,5,7}:{(31,1),(33,1),(35,1),(66,1),(69,1),(70,1),(94,1)}
        52:{1,2,5}:{(32,1),(33,1),(36,1)}
        53:{1,2,4,7}:{(34,1),(35,1),(36,1),(70,1),(72,1)}
        54:{1,2,3,6}:{(36,1),(71,1),(72,1),(77,1)}
        55:{4,5,7}:{(37,1),(63,1),(73,1),(108,1)}
        56:{3,4,6,7}:{(37,1),(38,1),(41,1),(64,1),(73,1),(74,1),(75,1),(99,1),(108,1)}
        57:{1,4,7}:{(38,1),(39,1),(42,1),(108,1)}
        58:{2,4,7}:{(38,1),(40,1),(43,1),(108,1)}
        59:{1,2,4,6}:{(39,1),(40,1),(44,1),(67,1),(76,1),(77,1)}
        60:{1,3,6,7}:{(41,1),(42,1),(68,1),(74,1),(78,1),(99,1)}
        61:{2,3,6,7}:{(41,1),(43,1),(69,1),(75,1),(78,1),(99,1)}
        62:{1,2,5,7}:{(42,1),(43,1),(44,1),(76,1),(78,1)}
        63:{4,5,6}:{(45,1),(55,1),(79,1),(109,1)}
        64:{3,4,6}:{(45,1),(46,1),(49,1),(79,1),(80,1),(81,1),(101,1),(109,1)}
        65:{1,4,5,7}:{(46,1),(47,1),(50,1),(57,1),(80,1),(87,1)}
        66:{2,4,5,7}:{(46,1),(48,1),(51,1),(58,1),(81,1),(88,1)}
        67:{1,2,4,5}:{(47,1),(48,1),(52,1),(59,1),(83,1),(86,1)}
        68:{1,3,6}:{(49,1),(50,1),(80,1),(84,1),(101,1)}
        69:{2,3,6}:{(49,1),(51,1),(81,1),(84,1),(101,1)}
        70:{1,2,5,7}:{(50,1),(51,1),(52,1),(53,1),(84,1)}
        71:{1,2,3,5}:{(52,1),(54,1),(83,1),(86,1)}
        72:{1,2,3,7}:{(53,1),(54,1),(90,1)}
        73:{3,5,7}:{(55,1),(56,1),(79,1),(87,1),(88,1)}
        74:{1,4,6,7}:{(56,1),(57,1),(60,1),(80,1),(87,1)}
        75:{2,4,6,7}:{(56,1),(58,1),(61,1),(81,1),(88,1)}
        76:{1,2,4,7}:{(57,1),(58,1),(59,1),(62,1),(90,1)}
        77:{3,6}:{(59,1),(83,1),(90,1)}
        78:{1,2,6,7}:{(60,1),(61,1),(62,1),(84,1)}
        79:{3,5,6}:{(63,1),(64,1),(73,1),(91,1),(92,1)}
        80:{1,4,6}:{(64,1),(65,1),(68,1),(91,1)}
        81:{2,4,6}:{(64,1),(66,1),(69,1),(92,1)}
        82:{1,2,4,5,7}:{(65,1),(66,1),(67,1),(70,1),(76,1),(93,1),(94,1),(97,1),(98,1),(107,1),(108,1),(111,1)}
        83:{3,5}:{(67,1),(77,1),(95,1)}
        84:{1,2,6}:{(68,1),(69,1),(70,1)}
        85:{1,2,3,5,7}:{(70,1),(71,1),(72,1),(94,1),(96,1),(97,1),(107,1)}
        86:{1,2,4}:{(71,1),(95,1)}
        87:{1,5,7}:{(73,1),(74,1),(91,1)}
        88:{2,5,7}:{(73,1),(75,1),(92,1)}
        89:{1,2,4,6,7}:{(74,1),(75,1),(76,1),(78,1),(93,1),(98,1),(99,1),(108,1)}
        90:{3,7}:{(76,1),(77,1)}
        91:{1,5,6}:{(79,1),(80,1),(87,1)}
        92:{2,5,6}:{(79,1),(81,1),(88,1)}
        93:{1,2,4,6}:{(80,1),(81,1),(82,1),(84,1),(100,1),(101,1),(109,1)}
        94:{3,5,7}:{(82,1),(83,1),(90,1),(101,1),(102,1),(110,1)}
        95:{3,4}:{(83,1),(86,1)}
        96:{1,2,3,6}:{(84,1),(85,1),(101,1),(103,1)}
        97:{1,2,4,7}:{(85,1),(86,1),(102,1),(103,1)}
        98:{1,2,5,7}:{(87,1),(88,1),(89,1),(100,1),(104,1)}
        99:{3,6,7}:{(89,1),(90,1),(101,1),(104,1)}
       100:{1,2,5,6}:{(91,1),(92,1),(93,1),(98,1),(105,1),(107,1)}
       101:{3,6}:{(93,1),(94,1)}
       102:{3,4,7}:{(94,1),(95,1),(97,1),(106,1),(108,1)}
       103:{1,2,4,6}:{(96,1),(97,1),(106,1),(107,1)}
       104:{3,5,7}:{(98,1),(99,1),(105,1),(108,1)}
       105:{3,5,6}:{(100,1),(101,1),(104,1),(109,1),(110,1)}
       106:{3,4,6}:{(101,1),(102,1),(103,1),(109,1),(110,1)}
       107:{1,2,5}:{(103,1),(110,1)}
       108:{4,7}:{(104,1),(109,1)}
       109:{4,6}:{(105,1),(108,1),(111,1)}
       110:{3,5}:{(106,1),(107,1),(111,1)}
       111:{4,5}:{(109,1),(110,1)}

1224 :   0:{1,3,4,5,7}:{(2,1),(3,1),(16,1),(23,1),(64,1),(106,1),(109,1),(118,1),(159,1),(170,1)}
         1:{2,3,4,5,7}:{(4,1),(5,1),(17,1),(22,1),(54,1),(105,1),(119,1),(122,1),(159,1),(179,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(27,1),(31,1),(70,1),(77,1),(80,1)}
         3:{1,3,4,6}:{(0,1),(8,1),(9,1),(81,1),(150,1),(183,1),(191,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(27,1),(39,1),(70,1),(89,1),(92,1)}
         5:{2,3,4,6}:{(1,1),(12,1),(13,1),(93,1),(137,1),(183,1),(196,1)}
         6:{1,3,4,6,7}:{(3,1),(15,1),(16,1),(49,1),(102,1),(106,1),(167,1)}
         7:{2,3,5,7}:{(2,1),(17,1),(18,1),(54,1),(159,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(18,1),(19,1),(55,1)}
         9:{1,3,5,6}:{(3,1),(16,1),(19,1),(20,1),(56,1),(64,1),(204,1)}
        10:{2,3,4,6,7}:{(5,1),(21,1),(22,1),(59,1),(115,1),(119,1),(176,1)}
        11:{1,3,5,7}:{(4,1),(23,1),(24,1),(64,1),(159,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(24,1),(25,1),(65,1)}
        13:{2,3,5,6}:{(5,1),(22,1),(25,1),(26,1),(54,1),(66,1),(206,1)}
        14:{1,2,3,5,7}:{(7,1),(11,1),(27,1),(28,1),(70,1)}
        15:{1,2,4,6,7}:{(6,1),(8,1),(30,1),(31,1),(77,1)}
        16:{1,3,5,7}:{(6,1),(9,1),(31,1),(32,1),(78,1),(190,1)}
        17:{2,3,4,7}:{(7,1),(27,1),(33,1),(77,1),(128,1)}
        18:{2,3,6}:{(7,1),(8,1),(183,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(70,1)}
        20:{1,4,5,6}:{(9,1),(32,1),(36,1),(92,1),(150,1)}
        21:{1,2,4,6,7}:{(10,1),(12,1),(38,1),(39,1),(89,1)}
        22:{2,3,5,7}:{(10,1),(13,1),(39,1),(40,1),(90,1),(195,1)}
        23:{1,3,4,7}:{(11,1),(27,1),(41,1),(89,1),(128,1)}
        24:{1,3,6}:{(11,1),(12,1),(183,1)}
        25:{1,2,5,6}:{(12,1),(13,1),(39,1),(42,1),(70,1)}
        26:{2,4,5,6}:{(13,1),(40,1),(44,1),(80,1),(137,1)}
        27:{1,2,4,7}:{(14,1),(17,1),(23,1),(46,1)}
        28:{1,2,3,6}:{(14,1),(18,1),(24,1),(46,1)}
        29:{1,3,5,6,7}:{(16,1),(48,1),(49,1),(100,1),(102,1),(117,1)}
        30:{2,3,6,7}:{(15,1),(18,1),(51,1),(102,1)}
        31:{1,2,5,7}:{(15,1),(16,1),(19,1),(51,1)}
        32:{1,4,5,7}:{(16,1),(20,1),(49,1),(53,1)}
        33:{2,3,4,6}:{(17,1),(18,1),(46,1),(54,1),(55,1),(99,1)}
        34:{2,3,5,6}:{(18,1),(19,1),(51,1),(54,1),(55,1),(56,1)}
        35:{1,2,4,5,6}:{(19,1),(20,1),(52,1),(55,1),(56,1),(57,1),(98,1),(110,1),(112,1),(158,1),(165,1),(204,1)}
        36:{3,4,5,6}:{(20,1),(53,1),(56,1),(57,1),(122,1),(178,1)}
        37:{2,3,5,6,7}:{(22,1),(58,1),(59,1),(104,1),(113,1),(115,1)}
        38:{1,3,6,7}:{(21,1),(24,1),(61,1),(115,1)}
        39:{1,2,5,7}:{(21,1),(22,1),(25,1),(61,1)}
        40:{2,4,5,7}:{(22,1),(26,1),(59,1),(63,1)}
        41:{1,3,4,6}:{(23,1),(24,1),(46,1),(64,1),(65,1),(99,1)}
        42:{1,3,5,6}:{(24,1),(25,1),(61,1),(64,1),(65,1),(66,1)}
        43:{1,2,4,5,6}:{(25,1),(26,1),(62,1),(65,1),(66,1),(67,1),(98,1),(124,1),(125,1),(158,1),(174,1),(206,1)}
        44:{3,4,5,6}:{(26,1),(63,1),(66,1),(67,1),(109,1),(169,1)}
        45:{1,2,3,6,7}:{(28,1),(30,1),(38,1),(68,1),(69,1),(135,1),(149,1),(183,1),(208,1)}
        46:{1,2,4,6}:{(27,1),(28,1),(33,1),(41,1),(70,1)}
        47:{1,2,3,5,6}:{(28,1),(34,1),(42,1),(69,1),(70,1),(71,1),(82,1),(95,1),(126,1),(129,1),(183,1),(187,1),(188,1),(208,1)}
        48:{1,2,5,6,7}:{(29,1),(31,1),(73,1),(74,1),(126,1),(132,1),(190,1)}
        49:{1,4,6,7}:{(29,1),(32,1),(75,1),(150,1)}
        50:{2,3,4,6,7}:{(30,1),(33,1),(68,1),(76,1),(77,1),(128,1),(134,1),(137,1),(183,1)}
        51:{2,3,5,7}:{(30,1),(31,1),(34,1),(77,1),(78,1)}
        52:{1,2,4,5,7}:{(31,1),(32,1),(35,1),(74,1),(77,1),(78,1),(79,1),(133,1),(139,1),(141,1),(190,1)}
        53:{3,4,5,7}:{(32,1),(36,1),(75,1),(78,1),(79,1)}
        54:{2,3,5}:{(33,1),(70,1),(80,1),(129,1)}
        55:{2,4,6}:{(34,1),(77,1),(80,1),(81,1)}
        56:{3,5,6}:{(35,1),(78,1),(81,1),(129,1),(183,1)}
        57:{2,4,5,6}:{(36,1),(79,1),(83,1),(156,1),(196,1)}
        58:{1,2,5,6,7}:{(37,1),(39,1),(85,1),(86,1),(126,1),(145,1),(195,1)}
        59:{2,4,6,7}:{(37,1),(40,1),(87,1),(137,1)}
        60:{1,3,4,6,7}:{(38,1),(41,1),(68,1),(88,1),(89,1),(128,1),(147,1),(150,1),(183,1)}
        61:{1,3,5,7}:{(38,1),(39,1),(42,1),(89,1),(90,1)}
        62:{1,2,4,5,7}:{(39,1),(40,1),(43,1),(86,1),(89,1),(90,1),(91,1),(146,1),(153,1),(154,1),(195,1)}
        63:{3,4,5,7}:{(40,1),(44,1),(87,1),(90,1),(91,1)}
        64:{1,3,5}:{(41,1),(70,1),(92,1),(129,1)}
        65:{1,4,6}:{(42,1),(89,1),(92,1),(93,1)}
        66:{3,5,6}:{(43,1),(90,1),(93,1),(129,1),(183,1)}
        67:{1,4,5,6}:{(44,1),(91,1),(94,1),(142,1),(191,1)}
        68:{1,2,4,6,7}:{(45,1),(46,1),(50,1),(60,1),(96,1),(97,1),(158,1),(167,1),(176,1)}
        69:{1,2,3,5,7}:{(45,1),(47,1),(51,1),(61,1),(96,1),(97,1),(107,1),(121,1),(159,1),(201,1),(202,1)}
        70:{1,2,5}:{(46,1),(54,1),(64,1)}
        71:{1,2,4,6}:{(47,1),(55,1),(65,1),(97,1),(98,1),(99,1),(110,1),(124,1)}
        72:{1,4,5,6,7}:{(49,1),(100,1),(174,1)}
        73:{2,3,5,6,7}:{(48,1),(51,1),(101,1),(102,1),(104,1),(166,1)}
        74:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(101,1),(102,1),(103,1),(158,1),(167,1),(168,1)}
        75:{3,4,6,7}:{(49,1),(53,1),(100,1),(102,1),(103,1),(178,1)}
        76:{2,3,5,7}:{(50,1),(54,1),(96,1),(104,1),(105,1),(159,1),(166,1)}
        77:{2,4,7}:{(51,1),(55,1),(106,1)}
        78:{3,5,7}:{(52,1),(56,1),(102,1),(106,1)}
        79:{2,4,5,7}:{(53,1),(57,1),(103,1),(108,1)}
        80:{2,4,5}:{(54,1),(55,1),(109,1)}
        81:{3,4,6}:{(55,1),(56,1),(106,1),(109,1),(110,1)}
        82:{1,3,5,6}:{(56,1),(107,1),(110,1),(112,1),(162,1),(173,1),(199,1),(204,1)}
        83:{2,3,5,6}:{(56,1),(57,1),(108,1),(111,1),(112,1),(163,1),(200,1)}
        84:{2,4,5,6,7}:{(59,1),(113,1),(165,1)}
        85:{1,3,5,6,7}:{(58,1),(61,1),(114,1),(115,1),(117,1),(175,1)}
        86:{1,2,4,6,7}:{(58,1),(59,1),(62,1),(114,1),(115,1),(116,1),(158,1),(176,1),(177,1)}
        87:{3,4,6,7}:{(59,1),(63,1),(113,1),(115,1),(116,1),(169,1)}
        88:{1,3,5,7}:{(60,1),(64,1),(96,1),(117,1),(118,1),(159,1),(175,1)}
        89:{1,4,7}:{(61,1),(65,1),(119,1)}
        90:{3,5,7}:{(62,1),(66,1),(115,1),(119,1)}
        91:{1,4,5,7}:{(63,1),(67,1),(116,1),(120,1)}
        92:{1,4,5}:{(64,1),(65,1),(122,1)}
        93:{3,4,6}:{(65,1),(66,1),(119,1),(122,1),(124,1)}
        94:{1,3,5,6}:{(66,1),(67,1),(120,1),(123,1),(125,1),(162,1),(199,1)}
        95:{2,3,5,6}:{(66,1),(121,1),(124,1),(125,1),(163,1),(182,1),(200,1),(206,1)}
        96:{1,2,5,7}:{(68,1),(70,1),(76,1),(88,1),(126,1),(190,1),(195,1)}
        97:{1,2,4,7}:{(69,1),(71,1),(77,1),(89,1),(128,1),(139,1),(153,1)}
        98:{1,2,4,5}:{(70,1),(71,1),(80,1),(92,1),(129,1),(142,1),(156,1),(187,1)}
        99:{3,4,6}:{(71,1),(128,1),(129,1),(183,1)}
       100:{3,5,6,7}:{(72,1),(75,1),(132,1),(194,1)}
       101:{2,4,6,7}:{(73,1),(77,1),(133,1),(134,1),(137,1)}
       102:{3,6,7}:{(74,1),(78,1),(183,1)}
       103:{2,4,6,7}:{(75,1),(79,1),(132,1),(136,1),(196,1)}
       104:{2,3,5,6}:{(76,1),(126,1),(137,1),(183,1),(189,1)}
       105:{2,4,5,7}:{(76,1),(77,1),(80,1),(137,1),(138,1)}
       106:{3,4,7}:{(77,1),(78,1),(81,1),(139,1)}
       107:{1,3,5,7}:{(78,1),(82,1),(135,1),(139,1),(141,1),(190,1),(192,1)}
       108:{2,3,5,7}:{(78,1),(79,1),(83,1),(136,1),(140,1),(141,1)}
       109:{3,4,5}:{(80,1),(81,1),(129,1),(142,1)}
       110:{1,4,6}:{(81,1),(82,1),(139,1),(142,1)}
       111:{2,3,4,6}:{(81,1),(83,1),(140,1),(143,1),(144,1)}
       112:{1,2,5,6}:{(82,1),(83,1),(141,1),(144,1),(187,1),(208,1)}
       113:{3,5,6,7}:{(84,1),(87,1),(145,1),(189,1)}
       114:{1,4,6,7}:{(85,1),(89,1),(146,1),(147,1),(150,1)}
       115:{3,6,7}:{(86,1),(90,1),(183,1)}
       116:{1,4,6,7}:{(87,1),(91,1),(145,1),(148,1),(191,1)}
       117:{1,3,5,6}:{(88,1),(126,1),(150,1),(183,1),(194,1)}
       118:{1,4,5,7}:{(88,1),(89,1),(92,1),(150,1),(151,1)}
       119:{3,4,7}:{(89,1),(90,1),(93,1),(153,1)}
       120:{1,3,5,7}:{(90,1),(91,1),(94,1),(148,1),(152,1),(154,1)}
       121:{2,3,5,7}:{(90,1),(95,1),(149,1),(153,1),(154,1),(195,1),(197,1)}
       122:{3,4,5}:{(92,1),(93,1),(129,1),(156,1)}
       123:{1,3,4,6}:{(93,1),(94,1),(152,1),(155,1),(157,1)}
       124:{2,4,6}:{(93,1),(95,1),(153,1),(156,1)}
       125:{1,2,5,6}:{(94,1),(95,1),(154,1),(157,1),(187,1),(208,1)}
       126:{1,2,5,6}:{(96,1),(104,1),(117,1),(158,1),(204,1),(206,1)}
       127:{1,2,4,5,7}:{(96,1),(97,1),(98,1),(105,1),(118,1),(158,1),(159,1),(170,1),(179,1),(201,1)}
       128:{3,4,7}:{(97,1),(99,1),(159,1)}
       129:{3,5}:{(98,1),(99,1)}
       130:{1,3,4,6}:{(99,1),(110,1),(160,1),(162,1),(164,1),(173,1),(199,1),(205,1)}
       131:{2,3,4,6}:{(99,1),(124,1),(161,1),(163,1),(164,1),(182,1),(200,1),(207,1)}
       132:{2,5,6,7}:{(100,1),(103,1),(206,1)}
       133:{2,4,5,7}:{(101,1),(165,1),(166,1)}
       134:{3,4,6,7}:{(101,1),(102,1),(106,1),(166,1),(167,1),(169,1)}
       135:{1,3,6,7}:{(102,1),(107,1),(167,1),(168,1),(199,1)}
       136:{2,3,6,7}:{(102,1),(103,1),(108,1),(168,1),(200,1)}
       137:{2,4,6}:{(104,1),(105,1),(169,1)}
       138:{3,4,5,7}:{(105,1),(106,1),(109,1),(159,1),(166,1),(169,1),(170,1)}
       139:{1,4,7}:{(106,1),(107,1),(110,1)}
       140:{2,3,4,7}:{(106,1),(108,1),(111,1),(171,1)}
       141:{1,2,5,7}:{(107,1),(108,1),(112,1),(168,1),(171,1)}
       142:{1,4,5}:{(109,1),(110,1),(162,1)}
       143:{2,3,4,5}:{(109,1),(111,1),(163,1),(172,1),(207,1)}
       144:{1,2,4,6}:{(110,1),(111,1),(112,1),(171,1),(172,1),(173,1)}
       145:{1,5,6,7}:{(113,1),(116,1),(204,1)}
       146:{1,4,5,7}:{(114,1),(174,1),(175,1)}
       147:{3,4,6,7}:{(114,1),(115,1),(119,1),(175,1),(176,1),(178,1)}
       148:{1,3,6,7}:{(115,1),(116,1),(120,1),(177,1),(199,1)}
       149:{2,3,6,7}:{(115,1),(121,1),(176,1),(177,1),(200,1)}
       150:{1,4,6}:{(117,1),(118,1),(178,1)}
       151:{3,4,5,7}:{(118,1),(119,1),(122,1),(159,1),(175,1),(178,1),(179,1)}
       152:{1,3,4,7}:{(119,1),(120,1),(123,1),(180,1)}
       153:{2,4,7}:{(119,1),(121,1),(124,1)}
       154:{1,2,5,7}:{(120,1),(121,1),(125,1),(177,1),(180,1)}
       155:{1,3,4,5}:{(122,1),(123,1),(162,1),(181,1),(205,1)}
       156:{2,4,5}:{(122,1),(124,1),(163,1)}
       157:{1,2,4,6}:{(123,1),(124,1),(125,1),(180,1),(181,1),(182,1)}
       158:{1,2,4,6}:{(126,1),(127,1),(137,1),(150,1),(183,1),(191,1),(196,1),(208,1)}
       159:{3,5,7}:{(127,1),(128,1),(129,1),(183,1)}
       160:{1,3,4,7}:{(128,1),(130,1),(139,1),(184,1),(186,1),(192,1)}
       161:{2,3,4,7}:{(128,1),(131,1),(153,1),(185,1),(186,1),(197,1)}
       162:{1,3,5}:{(129,1),(130,1),(142,1),(187,1)}
       163:{2,3,5}:{(129,1),(131,1),(156,1),(187,1)}
       164:{1,2,4,6}:{(130,1),(131,1),(186,1),(187,1),(188,1),(208,1),(209,1)}
       165:{2,4,5,6}:{(133,1),(137,1),(189,1)}
       166:{3,5,7}:{(133,1),(134,1),(189,1),(190,1)}
       167:{1,4,6,7}:{(134,1),(135,1),(139,1),(190,1),(191,1)}
       168:{1,2,6,7}:{(135,1),(136,1),(141,1),(208,1)}
       169:{3,4,6}:{(137,1),(138,1),(183,1),(189,1),(191,1)}
       170:{1,4,5,7}:{(138,1),(139,1),(142,1),(184,1),(190,1),(191,1)}
       171:{1,2,4,7}:{(139,1),(140,1),(141,1),(144,1),(192,1)}
       172:{1,2,4,5}:{(142,1),(143,1),(144,1),(187,1),(193,1),(209,1)}
       173:{1,3,6}:{(144,1),(192,1),(193,1)}
       174:{1,4,5,6}:{(146,1),(150,1),(194,1)}
       175:{3,5,7}:{(146,1),(147,1),(194,1),(195,1)}
       176:{2,4,6,7}:{(147,1),(149,1),(153,1),(195,1),(196,1)}
       177:{1,2,6,7}:{(148,1),(149,1),(154,1),(208,1)}
       178:{3,4,6}:{(150,1),(151,1),(183,1),(194,1),(196,1)}
       179:{2,4,5,7}:{(151,1),(153,1),(156,1),(185,1),(195,1),(196,1)}
       180:{1,2,4,7}:{(152,1),(153,1),(154,1),(157,1),(197,1)}
       181:{1,2,4,5}:{(155,1),(156,1),(157,1),(187,1),(198,1),(209,1)}
       182:{2,3,6}:{(157,1),(197,1),(198,1)}
       183:{3,6}:{(158,1),(159,1)}
       184:{1,3,5,7}:{(159,1),(160,1),(162,1),(170,1),(199,1),(201,1)}
       185:{2,3,5,7}:{(159,1),(161,1),(163,1),(179,1),(200,1),(201,1)}
       186:{1,2,4,7}:{(160,1),(161,1),(164,1),(201,1),(202,1)}
       187:{1,2,5}:{(162,1),(163,1),(164,1)}
       188:{1,2,3,6}:{(164,1),(173,1),(182,1),(202,1),(203,1)}
       189:{3,5,6}:{(165,1),(166,1),(169,1),(204,1)}
       190:{1,5,7}:{(166,1),(167,1),(204,1)}
       191:{1,4,6}:{(169,1),(170,1),(199,1),(204,1)}
       192:{1,3,7}:{(171,1),(173,1)}
       193:{1,3,5}:{(172,1),(173,1),(205,1)}
       194:{3,5,6}:{(174,1),(175,1),(178,1),(206,1)}
       195:{2,5,7}:{(175,1),(176,1),(206,1)}
       196:{2,4,6}:{(178,1),(179,1),(200,1),(206,1)}
       197:{2,3,7}:{(180,1),(182,1)}
       198:{2,3,5}:{(181,1),(182,1),(207,1)}
       199:{1,3,6}:{(183,1),(184,1),(191,1),(208,1)}
       200:{2,3,6}:{(183,1),(185,1),(196,1),(208,1)}
       201:{1,2,5,7}:{(184,1),(185,1),(186,1),(187,1),(208,1)}
       202:{1,2,3,7}:{(186,1),(188,1),(192,1),(197,1)}
       203:{1,2,3,5}:{(187,1),(188,1),(193,1),(198,1),(209,1)}
       204:{1,5,6}:{(189,1),(190,1),(191,1)}
       205:{1,3,4}:{(193,1),(209,1)}
       206:{2,5,6}:{(194,1),(195,1),(196,1)}
       207:{2,3,4}:{(198,1),(209,1)}
       208:{1,2,6}:{(199,1),(200,1),(201,1)}
       209:{1,2,4}:{(203,1),(205,1),(207,1)}

1225 :   0:{1,3,4,5}:{(2,1),(3,1),(32,1),(85,1),(137,1)}
         1:{2,3,4,5}:{(4,1),(5,1),(24,1),(73,1),(147,1)}
         2:{1,3,4,6}:{(0,1),(7,1),(8,1),(9,1),(103,1)}
         3:{1,2,4,5}:{(0,1),(9,1),(10,1),(34,1),(95,1),(106,1)}
         4:{2,3,4,6}:{(1,1),(12,1),(13,1),(14,1),(115,1)}
         5:{1,2,4,5}:{(1,1),(14,1),(15,1),(34,1),(95,1),(118,1)}
         6:{3,4,5,6}:{(17,1),(18,1),(19,1),(68,1),(147,1),(202,1),(226,1)}
         7:{1,3,5,6}:{(2,1),(18,1),(20,1),(21,1),(68,1),(85,1),(150,1)}
         8:{1,3,4,7}:{(2,1),(20,1),(22,1),(136,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(21,1),(22,1),(23,1),(71,1)}
        10:{2,3,5}:{(3,1),(23,1),(24,1)}
        11:{3,4,5,6}:{(25,1),(26,1),(27,1),(80,1),(137,1),(196,1),(228,1)}
        12:{2,3,5,6}:{(4,1),(27,1),(28,1),(29,1),(73,1),(80,1),(140,1)}
        13:{2,3,4,7}:{(4,1),(28,1),(30,1),(146,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(29,1),(30,1),(31,1),(83,1)}
        15:{1,3,5}:{(5,1),(31,1),(32,1)}
        16:{1,2,3,5}:{(10,1),(15,1),(33,1),(34,1),(95,1)}
        17:{3,4,5,7}:{(6,1),(37,1),(38,1),(39,1),(102,1),(214,1)}
        18:{1,4,5,6}:{(6,1),(7,1),(38,1),(118,1),(178,1)}
        19:{2,4,5,6}:{(6,1),(35,1),(39,1),(173,1),(217,1)}
        20:{1,3,5,7}:{(7,1),(8,1),(38,1),(41,1),(42,1),(102,1)}
        21:{1,2,5,6}:{(7,1),(9,1),(42,1),(43,1),(95,1),(162,1)}
        22:{1,2,4,7}:{(8,1),(9,1),(42,1),(44,1),(105,1)}
        23:{2,3,6}:{(9,1),(10,1),(44,1)}
        24:{2,3,4}:{(10,1),(34,1)}
        25:{3,4,5,7}:{(11,1),(48,1),(49,1),(50,1),(114,1),(218,1)}
        26:{1,4,5,6}:{(11,1),(46,1),(49,1),(165,1),(213,1)}
        27:{2,4,5,6}:{(11,1),(12,1),(50,1),(106,1),(170,1)}
        28:{2,3,5,7}:{(12,1),(13,1),(50,1),(52,1),(53,1),(114,1)}
        29:{1,2,5,6}:{(12,1),(14,1),(53,1),(54,1),(95,1),(162,1)}
        30:{1,2,4,7}:{(13,1),(14,1),(53,1),(55,1),(117,1)}
        31:{1,3,6}:{(14,1),(15,1),(55,1)}
        32:{1,3,4}:{(15,1),(34,1)}
        33:{1,2,3,6}:{(16,1),(23,1),(31,1),(60,1),(61,1)}
        34:{1,2,4}:{(16,1),(24,1),(32,1)}
        35:{2,3,5,6}:{(19,1),(58,1),(62,1),(63,1),(68,1),(185,1),(221,1)}
        36:{4,5,6,7}:{(64,1),(194,1),(228,1)}
        37:{3,4,6,7}:{(17,1),(64,1),(65,1),(66,1),(135,1),(194,1),(202,1)}
        38:{1,4,5,7}:{(17,1),(18,1),(20,1),(65,1)}
        39:{2,4,5,7}:{(17,1),(19,1),(62,1),(66,1)}
        40:{1,2,4,5,6}:{(18,1),(19,1),(21,1),(63,1),(67,1),(68,1),(71,1),(129,1),(133,1),(191,1),(197,1),(225,1),(226,1)}
        41:{1,3,6,7}:{(20,1),(65,1),(69,1),(135,1),(150,1)}
        42:{1,2,5,7}:{(20,1),(21,1),(22,1),(69,1),(70,1)}
        43:{2,3,5,6}:{(21,1),(23,1),(68,1),(70,1),(71,1),(73,1),(140,1),(197,1)}
        44:{2,3,7}:{(22,1),(23,1)}
        45:{2,3,4,6}:{(23,1),(24,1),(61,1),(71,1),(72,1),(73,1),(126,1),(140,1)}
        46:{1,3,5,6}:{(26,1),(57,1),(74,1),(75,1),(80,1),(187,1),(222,1)}
        47:{4,5,6,7}:{(76,1),(200,1),(226,1)}
        48:{3,4,6,7}:{(25,1),(76,1),(77,1),(78,1),(145,1),(196,1),(200,1)}
        49:{1,4,5,7}:{(25,1),(26,1),(74,1),(77,1)}
        50:{2,4,5,7}:{(25,1),(27,1),(28,1),(78,1)}
        51:{1,2,4,5,6}:{(26,1),(27,1),(29,1),(75,1),(79,1),(80,1),(83,1),(129,1),(143,1),(191,1),(203,1),(227,1),(228,1)}
        52:{2,3,6,7}:{(28,1),(78,1),(81,1),(140,1),(145,1)}
        53:{1,2,5,7}:{(28,1),(29,1),(30,1),(81,1),(82,1)}
        54:{1,3,5,6}:{(29,1),(31,1),(80,1),(82,1),(83,1),(85,1),(150,1),(203,1)}
        55:{1,3,7}:{(30,1),(31,1)}
        56:{1,3,4,6}:{(31,1),(32,1),(61,1),(83,1),(84,1),(85,1),(126,1),(150,1)}
        57:{1,3,4,6}:{(46,1),(86,1),(88,1),(89,1),(115,1)}
        58:{2,3,4,6}:{(35,1),(87,1),(90,1),(91,1),(103,1)}
        59:{1,2,3,5,6}:{(33,1),(43,1),(54,1),(92,1),(93,1),(95,1),(98,1),(110,1),(153,1),(159,1),(162,1),(206,1),(210,1),(211,1),(229,1)}
        60:{1,2,3,7}:{(33,1),(44,1),(55,1),(94,1)}
        61:{1,2,4,6}:{(33,1),(34,1),(45,1),(56,1),(94,1),(95,1),(162,1)}
        62:{2,3,5,7}:{(35,1),(39,1),(90,1),(96,1),(97,1),(102,1)}
        63:{1,2,5,6}:{(35,1),(91,1),(97,1),(98,1),(206,1),(229,1)}
        64:{3,5,6,7}:{(36,1),(37,1),(99,1),(100,1),(219,1)}
        65:{1,4,6,7}:{(37,1),(38,1),(41,1),(99,1),(178,1)}
        66:{2,4,6,7}:{(37,1),(39,1),(96,1),(100,1),(217,1)}
        67:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(42,1),(97,1),(101,1),(102,1),(105,1),(164,1),(169,1),(212,1),(214,1)}
        68:{3,5,6}:{(40,1),(102,1),(103,1),(159,1),(210,1)}
        69:{1,2,6,7}:{(41,1),(42,1),(104,1),(162,1)}
        70:{2,3,5,7}:{(42,1),(43,1),(44,1),(102,1),(104,1),(105,1),(169,1)}
        71:{2,4,6}:{(43,1),(103,1),(105,1),(106,1)}
        72:{2,3,4,7}:{(44,1),(45,1),(94,1),(105,1),(107,1),(158,1)}
        73:{2,3,5}:{(45,1),(95,1),(106,1),(159,1)}
        74:{1,3,5,7}:{(46,1),(49,1),(88,1),(108,1),(109,1),(114,1)}
        75:{1,2,5,6}:{(46,1),(89,1),(109,1),(110,1),(206,1),(229,1)}
        76:{3,5,6,7}:{(47,1),(48,1),(111,1),(112,1),(215,1)}
        77:{1,4,6,7}:{(48,1),(49,1),(108,1),(111,1),(213,1)}
        78:{2,4,6,7}:{(48,1),(50,1),(52,1),(112,1),(170,1)}
        79:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(53,1),(109,1),(113,1),(114,1),(117,1),(172,1),(177,1),(216,1),(218,1)}
        80:{3,5,6}:{(51,1),(114,1),(115,1),(159,1),(210,1)}
        81:{1,2,6,7}:{(52,1),(53,1),(116,1),(162,1)}
        82:{1,3,5,7}:{(53,1),(54,1),(55,1),(114,1),(116,1),(117,1),(177,1)}
        83:{1,4,6}:{(54,1),(115,1),(117,1),(118,1)}
        84:{1,3,4,7}:{(55,1),(56,1),(94,1),(117,1),(119,1),(158,1)}
        85:{1,3,5}:{(56,1),(95,1),(118,1),(159,1)}
        86:{1,3,4,5}:{(57,1),(120,1),(147,1),(181,1),(187,1)}
        87:{2,3,4,5}:{(58,1),(121,1),(137,1),(180,1),(185,1)}
        88:{1,3,4,7}:{(57,1),(74,1),(122,1),(146,1)}
        89:{1,2,4,6}:{(57,1),(75,1),(120,1),(122,1),(123,1),(143,1)}
        90:{2,3,4,7}:{(58,1),(62,1),(124,1),(136,1)}
        91:{1,2,4,6}:{(58,1),(63,1),(121,1),(124,1),(125,1),(133,1)}
        92:{1,2,3,5,7}:{(59,1),(60,1),(70,1),(82,1),(127,1),(128,1),(130,1),(132,1),(142,1),(182,1),(189,1),(190,1),(220,1)}
        93:{1,2,4,6}:{(59,1),(71,1),(83,1),(126,1),(128,1),(129,1),(133,1),(143,1)}
        94:{1,2,4,7}:{(60,1),(61,1),(72,1),(84,1),(130,1)}
        95:{1,2,5}:{(61,1),(73,1),(85,1)}
        96:{2,3,6,7}:{(62,1),(66,1),(131,1),(135,1),(221,1)}
        97:{1,2,5,7}:{(62,1),(63,1),(124,1),(131,1),(132,1)}
        98:{1,3,5,6}:{(63,1),(68,1),(125,1),(132,1),(133,1),(187,1),(222,1),(225,1)}
        99:{1,5,6,7}:{(64,1),(65,1),(203,1)}
       100:{2,5,6,7}:{(64,1),(66,1),(227,1)}
       101:{1,2,4,6,7}:{(65,1),(66,1),(67,1),(69,1),(131,1),(134,1),(135,1),(138,1),(191,1),(192,1),(194,1)}
       102:{3,5,7}:{(67,1),(68,1),(135,1),(136,1)}
       103:{3,4,6}:{(68,1),(71,1),(133,1),(136,1),(137,1)}
       104:{2,3,6,7}:{(69,1),(70,1),(135,1),(138,1),(140,1)}
       105:{2,4,7}:{(70,1),(71,1),(136,1)}
       106:{2,4,5}:{(71,1),(73,1),(137,1)}
       107:{2,3,5,7}:{(72,1),(73,1),(130,1),(139,1),(140,1),(189,1)}
       108:{1,3,6,7}:{(74,1),(77,1),(141,1),(145,1),(222,1)}
       109:{1,2,5,7}:{(74,1),(75,1),(122,1),(141,1),(142,1)}
       110:{2,3,5,6}:{(75,1),(80,1),(123,1),(142,1),(143,1),(185,1),(221,1),(227,1)}
       111:{1,5,6,7}:{(76,1),(77,1),(225,1)}
       112:{2,5,6,7}:{(76,1),(78,1),(197,1)}
       113:{1,2,4,6,7}:{(77,1),(78,1),(79,1),(81,1),(141,1),(144,1),(145,1),(148,1),(191,1),(198,1),(200,1)}
       114:{3,5,7}:{(79,1),(80,1),(145,1),(146,1)}
       115:{3,4,6}:{(80,1),(83,1),(143,1),(146,1),(147,1)}
       116:{1,3,6,7}:{(81,1),(82,1),(145,1),(148,1),(150,1)}
       117:{1,4,7}:{(82,1),(83,1),(146,1)}
       118:{1,4,5}:{(83,1),(85,1),(147,1)}
       119:{1,3,5,7}:{(84,1),(85,1),(130,1),(149,1),(150,1),(189,1)}
       120:{1,2,4,5}:{(86,1),(89,1),(151,1),(173,1),(204,1),(206,1)}
       121:{1,2,4,5}:{(87,1),(91,1),(152,1),(165,1),(204,1),(206,1)}
       122:{1,2,4,7}:{(88,1),(89,1),(109,1),(154,1),(172,1)}
       123:{2,3,6}:{(89,1),(151,1),(154,1)}
       124:{1,2,4,7}:{(90,1),(91,1),(97,1),(156,1),(164,1)}
       125:{1,3,6}:{(91,1),(152,1),(156,1)}
       126:{3,4,6}:{(93,1),(158,1),(159,1),(210,1)}
       127:{1,2,3,6,7}:{(92,1),(104,1),(116,1),(160,1),(162,1),(163,1),(171,1),(210,1),(229,1)}
       128:{1,2,4,7}:{(92,1),(93,1),(105,1),(117,1),(158,1),(164,1),(172,1)}
       129:{1,2,4,5}:{(93,1),(95,1),(106,1),(118,1),(159,1),(165,1),(173,1),(206,1)}
       130:{1,2,5,7}:{(94,1),(95,1),(107,1),(119,1),(162,1)}
       131:{1,2,6,7}:{(96,1),(97,1),(163,1),(229,1)}
       132:{1,3,5,7}:{(97,1),(98,1),(102,1),(156,1),(163,1),(164,1),(212,1)}
       133:{1,4,6}:{(98,1),(103,1),(164,1),(165,1)}
       134:{1,2,5,6,7}:{(99,1),(100,1),(101,1),(166,1),(169,1),(211,1),(212,1)}
       135:{3,6,7}:{(101,1),(102,1),(210,1)}
       136:{3,4,7}:{(102,1),(103,1),(105,1),(164,1)}
       137:{3,4,5}:{(103,1),(106,1),(159,1),(165,1)}
       138:{2,4,6,7}:{(104,1),(105,1),(167,1),(169,1),(170,1)}
       139:{2,4,5,7}:{(105,1),(106,1),(107,1),(168,1),(169,1),(170,1)}
       140:{2,3,6}:{(107,1),(162,1),(170,1),(210,1)}
       141:{1,2,6,7}:{(108,1),(109,1),(171,1),(229,1)}
       142:{2,3,5,7}:{(109,1),(110,1),(114,1),(154,1),(171,1),(172,1),(216,1)}
       143:{2,4,6}:{(110,1),(115,1),(172,1),(173,1)}
       144:{1,2,5,6,7}:{(111,1),(112,1),(113,1),(174,1),(177,1),(211,1),(216,1)}
       145:{3,6,7}:{(113,1),(114,1),(210,1)}
       146:{3,4,7}:{(114,1),(115,1),(117,1),(172,1)}
       147:{3,4,5}:{(115,1),(118,1),(159,1),(173,1)}
       148:{1,4,6,7}:{(116,1),(117,1),(175,1),(177,1),(178,1)}
       149:{1,4,5,7}:{(117,1),(118,1),(119,1),(176,1),(177,1),(178,1)}
       150:{1,3,6}:{(119,1),(162,1),(178,1),(210,1)}
       151:{2,3,5}:{(120,1),(123,1),(180,1)}
       152:{1,3,5}:{(121,1),(125,1),(181,1)}
       153:{1,2,3,6}:{(123,1),(125,1),(179,1),(182,1),(183,1)}
       154:{2,3,7}:{(122,1),(123,1)}
       155:{2,3,4,6}:{(123,1),(126,1),(143,1),(180,1),(183,1),(184,1),(185,1),(221,1)}
       156:{1,3,7}:{(124,1),(125,1)}
       157:{1,3,4,6}:{(125,1),(126,1),(133,1),(181,1),(183,1),(186,1),(187,1),(222,1)}
       158:{3,4,7}:{(126,1),(128,1),(189,1)}
       159:{3,5}:{(126,1),(129,1)}
       160:{1,2,4,6,7}:{(127,1),(128,1),(138,1),(148,1),(188,1),(190,1),(191,1),(192,1),(198,1)}
       161:{1,2,4,5,7}:{(128,1),(129,1),(130,1),(139,1),(149,1),(189,1),(190,1),(191,1),(193,1),(199,1),(220,1),(223,1)}
       162:{1,2,6}:{(130,1),(140,1),(150,1)}
       163:{1,3,6,7}:{(131,1),(132,1),(135,1),(192,1),(222,1)}
       164:{1,4,7}:{(132,1),(133,1),(136,1)}
       165:{1,4,5}:{(133,1),(137,1),(187,1)}
       166:{3,5,6,7}:{(134,1),(135,1),(194,1),(195,1),(224,1)}
       167:{3,4,6,7}:{(135,1),(136,1),(138,1),(192,1),(194,1),(195,1),(196,1)}
       168:{3,4,5,7}:{(136,1),(137,1),(139,1),(189,1),(193,1),(195,1),(196,1),(223,1)}
       169:{2,5,7}:{(138,1),(195,1),(197,1)}
       170:{2,4,6}:{(139,1),(140,1),(196,1),(197,1)}
       171:{2,3,6,7}:{(141,1),(142,1),(145,1),(198,1),(221,1)}
       172:{2,4,7}:{(142,1),(143,1),(146,1)}
       173:{2,4,5}:{(143,1),(147,1),(185,1)}
       174:{3,5,6,7}:{(144,1),(145,1),(200,1),(201,1),(224,1)}
       175:{3,4,6,7}:{(145,1),(146,1),(148,1),(198,1),(200,1),(201,1),(202,1)}
       176:{3,4,5,7}:{(146,1),(147,1),(149,1),(189,1),(199,1),(201,1),(202,1),(223,1)}
       177:{1,5,7}:{(148,1),(201,1),(203,1)}
       178:{1,4,6}:{(149,1),(150,1),(202,1),(203,1)}
       179:{1,2,3,5}:{(151,1),(152,1),(153,1),(204,1),(206,1)}
       180:{2,3,4}:{(151,1),(204,1)}
       181:{1,3,4}:{(152,1),(204,1)}
       182:{1,2,3,7}:{(153,1),(154,1),(156,1),(205,1)}
       183:{1,2,4,6}:{(153,1),(155,1),(157,1),(204,1),(205,1),(206,1),(229,1)}
       184:{2,3,4,7}:{(154,1),(155,1),(158,1),(172,1),(205,1),(207,1)}
       185:{2,3,5}:{(155,1),(159,1),(173,1),(206,1)}
       186:{1,3,4,7}:{(156,1),(157,1),(158,1),(164,1),(205,1),(208,1)}
       187:{1,3,5}:{(157,1),(159,1),(165,1),(206,1)}
       188:{3,4,6,7}:{(158,1),(160,1),(209,1),(210,1),(230,1)}
       189:{3,5,7}:{(158,1),(159,1),(161,1),(210,1)}
       190:{1,2,5,7}:{(160,1),(169,1),(177,1),(209,1),(211,1),(212,1),(216,1)}
       191:{1,2,4,6}:{(161,1),(162,1),(170,1),(178,1),(210,1),(211,1),(213,1),(217,1),(229,1),(230,1)}
       192:{1,4,6,7}:{(163,1),(164,1),(167,1),(212,1),(213,1)}
       193:{1,4,5,7}:{(164,1),(165,1),(168,1),(208,1),(212,1),(213,1)}
       194:{4,6,7}:{(166,1),(214,1),(230,1)}
       195:{3,5,7}:{(167,1),(169,1),(212,1),(214,1),(215,1)}
       196:{3,4,6}:{(168,1),(170,1),(210,1),(213,1),(215,1),(230,1)}
       197:{2,5,6}:{(169,1),(170,1),(215,1)}
       198:{2,4,6,7}:{(171,1),(172,1),(175,1),(216,1),(217,1)}
       199:{2,4,5,7}:{(172,1),(173,1),(176,1),(207,1),(216,1),(217,1)}
       200:{4,6,7}:{(174,1),(218,1),(230,1)}
       201:{3,5,7}:{(175,1),(177,1),(216,1),(218,1),(219,1)}
       202:{3,4,6}:{(176,1),(178,1),(210,1),(217,1),(219,1),(230,1)}
       203:{1,5,6}:{(177,1),(178,1),(219,1)}
       204:{1,2,4}:{(179,1),(180,1),(181,1)}
       205:{1,2,4,7}:{(182,1),(183,1),(184,1),(186,1),(220,1)}
       206:{1,2,5}:{(183,1),(185,1),(187,1)}
       207:{2,3,5,7}:{(184,1),(185,1),(189,1),(199,1),(220,1),(221,1)}
       208:{1,3,5,7}:{(186,1),(187,1),(189,1),(193,1),(220,1),(222,1)}
       209:{3,5,7}:{(188,1),(190,1),(223,1),(224,1)}
       210:{3,6}:{(189,1),(191,1)}
       211:{1,2,5,6}:{(190,1),(191,1),(197,1),(203,1),(224,1),(225,1),(227,1)}
       212:{1,5,7}:{(192,1),(195,1),(225,1)}
       213:{1,4,6}:{(193,1),(196,1),(222,1),(225,1)}
       214:{4,5,7}:{(194,1),(195,1),(226,1)}
       215:{3,5,6}:{(195,1),(196,1),(197,1),(225,1),(226,1)}
       216:{2,5,7}:{(198,1),(201,1),(227,1)}
       217:{2,4,6}:{(199,1),(202,1),(221,1),(227,1)}
       218:{4,5,7}:{(200,1),(201,1),(228,1)}
       219:{3,5,6}:{(201,1),(202,1),(203,1),(227,1),(228,1)}
       220:{1,2,5,7}:{(205,1),(206,1),(207,1),(208,1),(229,1)}
       221:{2,3,6}:{(207,1),(210,1),(217,1),(229,1)}
       222:{1,3,6}:{(208,1),(210,1),(213,1),(229,1)}
       223:{4,5,7}:{(209,1),(230,1)}
       224:{3,5,6}:{(209,1),(210,1),(211,1),(230,1)}
       225:{1,5,6}:{(212,1),(213,1),(215,1)}
       226:{4,5,6}:{(214,1),(215,1),(230,1)}
       227:{2,5,6}:{(216,1),(217,1),(219,1)}
       228:{4,5,6}:{(218,1),(219,1),(230,1)}
       229:{1,2,6}:{(220,1),(221,1),(222,1)}
       230:{4,6}:{(223,1),(224,1)}

1226 :   0:{3,4,5,6}:{(3,1),(4,1),(5,1),(29,1),(74,1),(114,1),(140,1)}
         1:{1,3,4,5}:{(6,1),(9,1),(44,1),(74,1),(82,1)}
         2:{2,3,4,5}:{(7,1),(10,1),(43,1),(74,1),(80,1)}
         3:{1,4,5,6}:{(0,1),(11,1),(14,1),(93,1),(128,1)}
         4:{2,4,5,6}:{(0,1),(12,1),(15,1),(90,1),(126,1)}
         5:{3,4,5,7}:{(0,1),(14,1),(15,1),(16,1),(52,1),(131,1)}
         6:{1,3,4,6}:{(1,1),(11,1),(17,1),(18,1),(51,1)}
         7:{2,3,4,6}:{(2,1),(12,1),(19,1),(20,1),(51,1)}
         8:{1,2,3,5,6}:{(21,1),(22,1),(45,1),(48,1),(57,1),(62,1),(99,1),(103,1),(105,1),(132,1)}
         9:{1,2,4,5}:{(1,1),(17,1),(23,1),(66,1),(90,1),(99,1)}
        10:{1,2,4,5}:{(2,1),(19,1),(24,1),(66,1),(93,1),(99,1)}
        11:{1,3,5,6}:{(3,1),(6,1),(25,1),(26,1),(29,1),(82,1),(119,1)}
        12:{2,3,5,6}:{(4,1),(7,1),(27,1),(28,1),(29,1),(80,1),(118,1)}
        13:{1,2,4,5,6}:{(3,1),(4,1),(25,1),(27,1),(29,1),(30,1),(39,1),(68,1),(71,1),(86,1),(107,1),(136,1),(138,1),(139,1),(140,1)}
        14:{1,4,5,7}:{(3,1),(5,1),(26,1),(31,1)}
        15:{2,4,5,7}:{(4,1),(5,1),(28,1),(32,1)}
        16:{3,4,6,7}:{(5,1),(31,1),(32,1),(33,1),(76,1),(114,1),(116,1)}
        17:{1,2,4,6}:{(6,1),(9,1),(25,1),(34,1),(35,1),(68,1)}
        18:{1,3,4,7}:{(6,1),(26,1),(35,1),(75,1)}
        19:{1,2,4,6}:{(7,1),(10,1),(27,1),(36,1),(37,1),(71,1)}
        20:{2,3,4,7}:{(7,1),(28,1),(37,1),(75,1)}
        21:{1,2,4,6}:{(8,1),(38,1),(39,1),(40,1),(68,1),(71,1)}
        22:{1,2,3,5,7}:{(8,1),(40,1),(41,1),(69,1),(72,1),(79,1),(84,1),(87,1),(117,1)}
        23:{2,3,5}:{(9,1),(34,1),(43,1)}
        24:{1,3,5}:{(10,1),(36,1),(44,1)}
        25:{1,2,5,6}:{(11,1),(17,1),(45,1),(46,1),(99,1),(132,1)}
        26:{1,3,5,7}:{(11,1),(14,1),(18,1),(46,1),(47,1),(52,1)}
        27:{1,2,5,6}:{(12,1),(19,1),(48,1),(49,1),(99,1),(132,1)}
        28:{2,3,5,7}:{(12,1),(15,1),(20,1),(49,1),(50,1),(52,1)}
        29:{3,5,6}:{(13,1),(51,1),(52,1),(62,1),(103,1),(122,1),(141,1)}
        30:{1,2,4,5,7}:{(13,1),(14,1),(15,1),(46,1),(49,1),(52,1),(53,1),(91,1),(94,1),(127,1),(129,1),(131,1)}
        31:{1,4,6,7}:{(14,1),(16,1),(47,1),(54,1),(128,1)}
        32:{2,4,6,7}:{(15,1),(16,1),(50,1),(55,1),(126,1)}
        33:{3,5,6,7}:{(16,1),(54,1),(55,1),(56,1),(130,1)}
        34:{2,3,6}:{(17,1),(23,1),(59,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(46,1),(59,1),(91,1)}
        36:{1,3,6}:{(19,1),(24,1),(61,1)}
        37:{1,2,4,7}:{(19,1),(20,1),(49,1),(61,1),(94,1)}
        38:{3,4,6}:{(21,1),(62,1),(63,1),(103,1)}
        39:{1,2,4,5}:{(21,1),(62,1),(90,1),(93,1),(99,1)}
        40:{1,2,4,7}:{(21,1),(22,1),(63,1),(91,1),(94,1)}
        41:{1,2,3,6,7}:{(22,1),(65,1),(92,1),(95,1),(103,1),(132,1)}
        42:{1,2,3,5}:{(23,1),(24,1),(57,1),(66,1),(99,1)}
        43:{2,3,4}:{(23,1),(66,1)}
        44:{1,3,4}:{(24,1),(66,1)}
        45:{2,3,5,6}:{(25,1),(29,1),(34,1),(68,1),(69,1),(80,1),(118,1),(138,1)}
        46:{1,2,5,7}:{(25,1),(26,1),(35,1),(69,1),(70,1)}
        47:{1,3,6,7}:{(26,1),(31,1),(70,1),(76,1),(119,1)}
        48:{1,3,5,6}:{(27,1),(29,1),(36,1),(71,1),(72,1),(82,1),(119,1),(139,1)}
        49:{1,2,5,7}:{(27,1),(28,1),(37,1),(72,1),(73,1)}
        50:{2,3,6,7}:{(28,1),(32,1),(73,1),(76,1),(118,1)}
        51:{3,4,6}:{(29,1),(68,1),(71,1),(74,1),(75,1)}
        52:{3,5,7}:{(29,1),(30,1),(75,1),(76,1)}
        53:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(70,1),(73,1),(76,1),(77,1),(86,1),(111,1),(113,1),(116,1),(136,1)}
        54:{1,5,6,7}:{(31,1),(33,1),(139,1)}
        55:{2,5,6,7}:{(32,1),(33,1),(138,1)}
        56:{4,5,6,7}:{(33,1),(116,1),(140,1)}
        57:{1,2,3,6}:{(34,1),(36,1),(42,1),(78,1),(79,1)}
        58:{2,3,4,6}:{(34,1),(38,1),(43,1),(68,1),(78,1),(80,1),(81,1),(106,1),(118,1)}
        59:{2,3,7}:{(34,1),(35,1)}
        60:{1,3,4,6}:{(36,1),(38,1),(44,1),(71,1),(78,1),(82,1),(83,1),(106,1),(119,1)}
        61:{1,3,7}:{(36,1),(37,1)}
        62:{3,5}:{(38,1),(39,1)}
        63:{3,4,7}:{(38,1),(40,1),(84,1)}
        64:{1,2,4,5,7}:{(39,1),(40,1),(84,1),(86,1),(87,1),(110,1),(112,1),(117,1),(121,1)}
        65:{1,2,4,6,7}:{(40,1),(41,1),(85,1),(86,1),(87,1),(111,1),(113,1)}
        66:{1,2,4}:{(42,1),(43,1),(44,1)}
        67:{1,2,3,5,6}:{(45,1),(48,1),(57,1),(88,1),(89,1),(99,1),(122,1),(132,1),(141,1),(143,1)}
        68:{2,4,6}:{(45,1),(51,1),(90,1),(91,1)}
        69:{2,3,5,7}:{(45,1),(46,1),(52,1),(59,1),(91,1),(92,1),(127,1)}
        70:{1,2,6,7}:{(46,1),(47,1),(92,1),(132,1)}
        71:{1,4,6}:{(48,1),(51,1),(93,1),(94,1)}
        72:{1,3,5,7}:{(48,1),(49,1),(52,1),(61,1),(94,1),(95,1),(129,1)}
        73:{1,2,6,7}:{(49,1),(50,1),(95,1),(132,1)}
        74:{3,4,5}:{(51,1),(62,1),(90,1),(93,1),(122,1)}
        75:{3,4,7}:{(51,1),(52,1),(91,1),(94,1)}
        76:{3,6,7}:{(52,1),(53,1),(103,1),(141,1)}
        77:{1,2,5,6,7}:{(53,1),(54,1),(55,1),(98,1),(105,1),(127,1),(129,1),(143,1)}
        78:{1,2,4,6}:{(57,1),(58,1),(60,1),(66,1),(99,1),(100,1),(132,1)}
        79:{1,2,3,7}:{(57,1),(59,1),(61,1),(100,1)}
        80:{2,3,5}:{(58,1),(62,1),(90,1),(99,1),(122,1)}
        81:{2,3,4,7}:{(58,1),(59,1),(63,1),(91,1),(100,1),(101,1),(123,1)}
        82:{1,3,5}:{(60,1),(62,1),(93,1),(99,1),(122,1)}
        83:{1,3,4,7}:{(60,1),(61,1),(63,1),(94,1),(100,1),(102,1),(123,1)}
        84:{3,5,7}:{(62,1),(63,1),(64,1),(103,1)}
        85:{3,4,6,7}:{(63,1),(65,1),(103,1),(104,1),(133,1)}
        86:{1,2,4,6}:{(64,1),(103,1),(105,1),(126,1),(128,1),(132,1),(133,1)}
        87:{1,2,5,7}:{(65,1),(104,1),(105,1),(127,1),(129,1)}
        88:{1,2,4,6}:{(67,1),(68,1),(71,1),(106,1),(107,1),(108,1)}
        89:{1,2,3,5,7}:{(67,1),(69,1),(72,1),(79,1),(108,1),(109,1),(117,1),(134,1),(137,1)}
        90:{2,4,5}:{(68,1),(74,1),(80,1)}
        91:{2,4,7}:{(68,1),(69,1),(75,1)}
        92:{2,3,6,7}:{(69,1),(70,1),(76,1),(111,1),(118,1)}
        93:{1,4,5}:{(71,1),(74,1),(82,1)}
        94:{1,4,7}:{(71,1),(72,1),(75,1)}
        95:{1,3,6,7}:{(72,1),(73,1),(76,1),(113,1),(119,1)}
        96:{3,4,5,7}:{(74,1),(75,1),(84,1),(110,1),(112,1),(114,1),(115,1),(121,1),(134,1),(145,1)}
        97:{3,4,6,7}:{(75,1),(76,1),(111,1),(113,1),(114,1),(115,1),(116,1)}
        98:{3,5,6,7}:{(76,1),(77,1),(115,1),(116,1),(120,1),(144,1)}
        99:{1,2,5}:{(78,1),(80,1),(82,1)}
       100:{1,2,4,7}:{(78,1),(79,1),(81,1),(83,1),(117,1)}
       101:{2,3,5,7}:{(80,1),(81,1),(84,1),(110,1),(117,1),(118,1),(134,1)}
       102:{1,3,5,7}:{(82,1),(83,1),(84,1),(112,1),(117,1),(119,1),(134,1)}
       103:{3,6}:{(84,1),(86,1)}
       104:{3,5,7}:{(85,1),(87,1),(120,1),(121,1)}
       105:{1,2,5,6}:{(86,1),(87,1),(120,1),(138,1),(139,1)}
       106:{3,4,6}:{(88,1),(122,1),(123,1),(141,1)}
       107:{1,2,4,5}:{(88,1),(90,1),(93,1),(99,1),(122,1)}
       108:{1,2,4,7}:{(88,1),(89,1),(91,1),(94,1),(123,1)}
       109:{1,2,3,6,7}:{(89,1),(92,1),(95,1),(125,1),(132,1),(141,1)}
       110:{2,4,5,7}:{(90,1),(91,1),(96,1),(101,1),(126,1),(127,1)}
       111:{2,4,6,7}:{(91,1),(92,1),(97,1),(126,1),(127,1)}
       112:{1,4,5,7}:{(93,1),(94,1),(96,1),(102,1),(128,1),(129,1)}
       113:{1,4,6,7}:{(94,1),(95,1),(97,1),(128,1),(129,1)}
       114:{3,4,6}:{(96,1),(103,1),(126,1),(128,1),(130,1),(133,1),(141,1),(146,1)}
       115:{3,5,7}:{(97,1),(127,1),(129,1),(130,1),(131,1)}
       116:{4,6,7}:{(98,1),(131,1),(133,1),(146,1)}
       117:{1,2,5,7}:{(99,1),(100,1),(101,1),(102,1),(132,1)}
       118:{2,3,6}:{(101,1),(103,1),(126,1),(132,1),(141,1)}
       119:{1,3,6}:{(102,1),(103,1),(128,1),(132,1),(141,1)}
       120:{3,5,6}:{(103,1),(104,1),(105,1),(133,1)}
       121:{4,5,7}:{(104,1),(133,1)}
       122:{3,5}:{(106,1),(107,1)}
       123:{3,4,7}:{(106,1),(108,1),(134,1)}
       124:{1,2,4,5,7}:{(107,1),(108,1),(110,1),(112,1),(117,1),(134,1),(136,1),(137,1),(145,1)}
       125:{1,2,4,6,7}:{(108,1),(109,1),(111,1),(113,1),(135,1),(136,1),(137,1)}
       126:{2,4,6}:{(110,1),(114,1),(118,1),(138,1)}
       127:{2,5,7}:{(111,1),(115,1),(138,1)}
       128:{1,4,6}:{(112,1),(114,1),(119,1),(139,1)}
       129:{1,5,7}:{(113,1),(115,1),(139,1)}
       130:{3,5,6}:{(114,1),(115,1),(138,1),(139,1),(140,1)}
       131:{4,5,7}:{(115,1),(116,1),(140,1)}
       132:{1,2,6}:{(117,1),(118,1),(119,1)}
       133:{4,6}:{(120,1),(121,1)}
       134:{3,5,7}:{(122,1),(123,1),(124,1),(141,1)}
       135:{3,4,6,7}:{(123,1),(125,1),(141,1),(142,1),(146,1)}
       136:{1,2,4,6}:{(124,1),(126,1),(128,1),(132,1),(141,1),(143,1),(146,1)}
       137:{1,2,5,7}:{(125,1),(127,1),(129,1),(142,1),(143,1)}
       138:{2,5,6}:{(126,1),(127,1),(130,1)}
       139:{1,5,6}:{(128,1),(129,1),(130,1)}
       140:{4,5,6}:{(130,1),(131,1),(133,1),(146,1)}
       141:{3,6}:{(134,1),(136,1)}
       142:{3,5,7}:{(135,1),(137,1),(144,1),(145,1)}
       143:{1,2,5,6}:{(136,1),(137,1),(138,1),(139,1),(144,1)}
       144:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       145:{4,5,7}:{(142,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

1227 :   0:{1,2,3,5,6}:{(2,1),(3,1),(11,1),(12,1),(15,1),(50,1),(53,1),(54,1),(55,1),(88,1)}
         1:{1,2,4,5,6}:{(4,1),(5,1),(6,1),(22,1),(23,1),(25,1),(33,1),(93,1),(94,1),(95,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(22,1),(23,1)}
         3:{1,2,3,5,7}:{(0,1),(8,1),(9,1),(26,1),(27,1),(32,1),(38,1),(70,1),(74,1)}
         4:{3,5,6}:{(1,1),(10,1),(13,1),(15,1),(53,1)}
         5:{1,2,4,5,7}:{(1,1),(13,1),(14,1),(43,1),(44,1),(46,1),(83,1),(84,1),(85,1)}
         6:{1,2,4,5}:{(2,1),(15,1),(39,1),(40,1),(50,1)}
         7:{3,4,6}:{(2,1),(15,1),(19,1),(53,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(19,1),(43,1),(44,1)}
         9:{1,2,3,6,7}:{(3,1),(20,1),(47,1),(48,1),(53,1),(88,1)}
        10:{3,4,6}:{(4,1),(21,1),(22,1),(23,1),(24,1),(62,1)}
        11:{1,3,5,6}:{(4,1),(22,1),(25,1),(26,1),(30,1),(62,1),(71,1),(93,1),(106,1)}
        12:{2,3,5,6}:{(4,1),(23,1),(25,1),(27,1),(31,1),(62,1),(72,1),(94,1),(106,1)}
        13:{3,5,7}:{(4,1),(5,1),(24,1),(28,1)}
        14:{1,2,4,6,7}:{(5,1),(28,1),(29,1),(33,1),(64,1),(65,1),(67,1),(68,1)}
        15:{3,5}:{(6,1),(7,1)}
        16:{1,2,4,5,7}:{(6,1),(8,1),(32,1),(33,1),(38,1),(59,1),(60,1),(70,1),(75,1)}
        17:{1,3,4,6}:{(7,1),(22,1),(30,1),(34,1),(35,1),(62,1),(71,1),(90,1),(105,1)}
        18:{2,3,4,6}:{(7,1),(23,1),(31,1),(34,1),(36,1),(62,1),(72,1),(90,1),(105,1)}
        19:{3,4,7}:{(7,1),(8,1),(32,1)}
        20:{1,2,4,6,7}:{(8,1),(9,1),(33,1),(37,1),(38,1),(64,1),(65,1)}
        21:{3,4,5}:{(10,1),(15,1),(39,1),(40,1),(76,1)}
        22:{1,4,6}:{(10,1),(11,1),(39,1),(43,1),(110,1)}
        23:{2,4,6}:{(10,1),(12,1),(40,1),(44,1),(110,1)}
        24:{3,4,7}:{(10,1),(13,1),(43,1),(44,1),(81,1)}
        25:{1,2,5,6}:{(11,1),(12,1),(42,1),(46,1),(50,1),(88,1)}
        26:{1,3,5,7}:{(11,1),(13,1),(43,1),(46,1),(47,1),(81,1),(83,1),(103,1)}
        27:{2,3,5,7}:{(12,1),(13,1),(44,1),(46,1),(48,1),(81,1),(84,1),(103,1)}
        28:{3,6,7}:{(13,1),(14,1),(53,1)}
        29:{1,2,5,6,7}:{(14,1),(49,1),(54,1),(83,1),(84,1)}
        30:{1,3,5}:{(15,1),(17,1),(39,1),(50,1),(76,1),(109,1)}
        31:{2,3,5}:{(15,1),(18,1),(40,1),(50,1),(76,1),(109,1)}
        32:{3,5,7}:{(15,1),(16,1),(19,1),(53,1)}
        33:{1,2,4,6}:{(16,1),(53,1),(54,1),(78,1),(79,1),(88,1),(89,1)}
        34:{1,2,4,6}:{(17,1),(18,1),(50,1),(55,1),(56,1),(86,1),(88,1)}
        35:{1,3,4,7}:{(17,1),(19,1),(43,1),(51,1),(56,1),(81,1),(100,1)}
        36:{2,3,4,7}:{(18,1),(19,1),(44,1),(52,1),(56,1),(81,1),(100,1)}
        37:{3,4,6,7}:{(19,1),(20,1),(53,1),(57,1),(89,1)}
        38:{1,2,5,7}:{(20,1),(54,1),(57,1),(83,1),(84,1)}
        39:{1,4,5}:{(21,1),(22,1),(30,1),(111,1)}
        40:{2,4,5}:{(21,1),(23,1),(31,1),(111,1)}
        41:{3,4,5,7}:{(21,1),(24,1),(32,1),(59,1),(60,1),(61,1),(66,1),(75,1),(91,1),(107,1),(111,1)}
        42:{1,2,4,6}:{(22,1),(23,1),(25,1),(58,1),(62,1),(63,1)}
        43:{1,4,7}:{(22,1),(24,1),(26,1),(107,1)}
        44:{2,4,7}:{(23,1),(24,1),(27,1),(107,1)}
        45:{3,4,6,7}:{(24,1),(28,1),(61,1),(64,1),(65,1),(66,1),(68,1),(96,1),(107,1)}
        46:{1,2,5,7}:{(25,1),(26,1),(27,1),(63,1),(67,1)}
        47:{1,3,6,7}:{(26,1),(28,1),(64,1),(67,1),(71,1),(96,1)}
        48:{2,3,6,7}:{(27,1),(28,1),(65,1),(67,1),(72,1),(96,1)}
        49:{3,5,6,7}:{(28,1),(29,1),(66,1),(68,1),(73,1)}
        50:{1,2,5}:{(30,1),(31,1),(34,1)}
        51:{1,3,5,7}:{(30,1),(32,1),(35,1),(59,1),(70,1),(71,1),(91,1)}
        52:{2,3,5,7}:{(31,1),(32,1),(36,1),(60,1),(70,1),(72,1),(91,1)}
        53:{3,6}:{(32,1),(33,1)}
        54:{1,2,5,6}:{(33,1),(38,1),(73,1),(93,1),(94,1)}
        55:{1,2,3,6}:{(34,1),(62,1),(69,1),(74,1)}
        56:{1,2,4,7}:{(34,1),(35,1),(36,1),(70,1),(74,1)}
        57:{3,5,7}:{(37,1),(38,1),(73,1),(75,1)}
        58:{1,2,4,5}:{(39,1),(40,1),(42,1),(50,1),(76,1),(86,1)}
        59:{1,4,5,7}:{(39,1),(41,1),(43,1),(51,1),(78,1),(83,1)}
        60:{2,4,5,7}:{(40,1),(41,1),(44,1),(52,1),(79,1),(84,1)}
        61:{3,4,6}:{(41,1),(53,1),(78,1),(79,1),(80,1),(89,1),(101,1),(110,1)}
        62:{3,6}:{(42,1),(76,1),(81,1)}
        63:{1,2,4,7}:{(42,1),(43,1),(44,1),(46,1),(81,1)}
        64:{1,4,6,7}:{(43,1),(45,1),(47,1),(78,1),(83,1)}
        65:{2,4,6,7}:{(44,1),(45,1),(48,1),(79,1),(84,1)}
        66:{3,5,7}:{(45,1),(80,1),(83,1),(84,1),(85,1)}
        67:{1,2,6,7}:{(46,1),(47,1),(48,1),(88,1)}
        68:{4,6,7}:{(49,1),(85,1),(89,1)}
        69:{1,2,3,5}:{(50,1),(55,1),(76,1),(86,1)}
        70:{1,2,5,7}:{(50,1),(51,1),(52,1),(56,1),(88,1)}
        71:{1,3,6}:{(51,1),(53,1),(78,1),(88,1),(101,1)}
        72:{2,3,6}:{(52,1),(53,1),(79,1),(88,1),(101,1)}
        73:{3,5,6}:{(53,1),(54,1),(57,1),(89,1)}
        74:{1,2,3,7}:{(55,1),(56,1),(81,1)}
        75:{4,5,7}:{(57,1),(89,1)}
        76:{3,5}:{(58,1),(62,1),(90,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(63,1),(70,1),(91,1),(92,1),(97,1),(98,1),(107,1),(108,1),(111,1)}
        78:{1,4,6}:{(59,1),(61,1),(71,1),(93,1)}
        79:{2,4,6}:{(60,1),(61,1),(72,1),(94,1)}
        80:{3,5,6}:{(61,1),(66,1),(93,1),(94,1),(95,1)}
        81:{3,7}:{(62,1),(63,1)}
        82:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(67,1),(92,1),(96,1),(97,1),(107,1)}
        83:{1,5,7}:{(64,1),(66,1),(93,1)}
        84:{2,5,7}:{(65,1),(66,1),(94,1)}
        85:{4,5,7}:{(66,1),(68,1),(95,1),(107,1)}
        86:{1,2,4}:{(69,1),(90,1)}
        87:{1,2,3,5,7}:{(69,1),(70,1),(74,1),(91,1),(98,1),(99,1),(108,1)}
        88:{1,2,6}:{(70,1),(71,1),(72,1)}
        89:{4,6}:{(73,1),(75,1)}
        90:{3,4}:{(76,1),(86,1)}
        91:{3,5,7}:{(76,1),(77,1),(81,1),(100,1),(101,1),(109,1)}
        92:{1,2,4,6}:{(77,1),(78,1),(79,1),(88,1),(101,1),(102,1),(110,1)}
        93:{1,5,6}:{(78,1),(80,1),(83,1)}
        94:{2,5,6}:{(79,1),(80,1),(84,1)}
        95:{4,5,6}:{(80,1),(85,1),(89,1),(110,1)}
        96:{3,6,7}:{(81,1),(82,1),(101,1),(103,1)}
        97:{1,2,5,7}:{(82,1),(83,1),(84,1),(102,1),(103,1)}
        98:{1,2,4,7}:{(86,1),(87,1),(100,1),(104,1)}
        99:{1,2,3,6}:{(87,1),(88,1),(101,1),(104,1)}
       100:{3,4,7}:{(90,1),(91,1),(98,1),(105,1),(107,1)}
       101:{3,6}:{(91,1),(92,1)}
       102:{1,2,5,6}:{(92,1),(93,1),(94,1),(97,1),(106,1),(108,1)}
       103:{3,5,7}:{(96,1),(97,1),(106,1),(107,1)}
       104:{1,2,4,6}:{(98,1),(99,1),(105,1),(108,1)}
       105:{3,4,6}:{(100,1),(101,1),(104,1),(109,1),(110,1)}
       106:{3,5,6}:{(101,1),(102,1),(103,1),(109,1),(110,1)}
       107:{4,7}:{(103,1),(110,1)}
       108:{1,2,5}:{(104,1),(109,1)}
       109:{3,5}:{(105,1),(108,1),(111,1)}
       110:{4,6}:{(106,1),(107,1),(111,1)}
       111:{4,5}:{(109,1),(110,1)}

1228 :   0:{1,2,3,4,6}:{(1,1),(2,1),(7,1),(10,1),(21,1),(52,1)}
         1:{1,2,3,5}:{(0,1),(3,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(16,1),(67,1)}
         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),(28,1),(47,1),(52,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(10,1)}
         6:{3,4,5}:{(3,1),(14,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(14,1),(16,1)}
         8:{1,2,4,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(41,1)}
         9:{1,2,3,5,7}:{(4,1),(16,1),(18,1),(33,1),(41,1),(63,1),(67,1)}
        10:{1,2,3,6}:{(5,1),(17,1)}
        11:{1,2,4,5,6}:{(7,1),(19,1),(20,1),(28,1),(42,1),(43,1),(47,1),(55,1)}
        12:{2,3,4,5}:{(6,1),(22,1),(23,1),(69,1)}
        13:{1,3,4,5}:{(6,1),(22,1),(24,1),(69,1)}
        14:{3,4,6}:{(6,1),(7,1),(19,1),(25,1)}
        15:{3,4,5,7}:{(6,1),(8,1),(25,1),(26,1),(54,1)}
        16:{1,2,4,7}:{(7,1),(9,1),(25,1)}
        17:{1,2,4,6}:{(8,1),(10,1),(26,1),(28,1)}
        18:{1,2,3,6,7}:{(9,1),(10,1),(27,1),(50,1),(79,1)}
        19:{3,5,6}:{(11,1),(14,1),(33,1)}
        20:{1,2,4,5,7}:{(11,1),(16,1),(33,1),(34,1),(41,1),(57,1),(58,1),(63,1),(68,1)}
        21:{1,2,3,4}:{(35,1)}
        22:{1,2,4,5}:{(12,1),(13,1),(35,1),(36,1)}
        23:{2,3,4,6}:{(12,1),(14,1),(31,1),(36,1),(37,1),(81,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(32,1),(36,1),(38,1),(81,1)}
        25:{3,4,7}:{(14,1),(16,1),(33,1)}
        26:{3,4,6}:{(15,1),(17,1),(40,1)}
        27:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(39,1),(41,1)}
        28:{1,2,5,6}:{(17,1),(40,1),(41,1)}
        29:{3,4,5,6}:{(19,1),(42,1),(43,1),(44,1),(55,1),(70,1),(102,1)}
        30:{1,2,3,4,6}:{(21,1),(45,1),(46,1),(52,1),(75,1),(78,1)}
        31:{2,3,5,6}:{(19,1),(23,1),(42,1),(47,1),(48,1),(70,1)}
        32:{1,3,5,6}:{(19,1),(24,1),(43,1),(47,1),(49,1),(70,1)}
        33:{3,5,7}:{(19,1),(20,1),(25,1),(50,1)}
        34:{1,2,4,6,7}:{(20,1),(50,1),(51,1),(72,1),(73,1),(79,1),(80,1)}
        35:{1,2,3,5}:{(21,1),(22,1),(52,1)}
        36:{1,2,4,6}:{(22,1),(23,1),(24,1),(47,1),(52,1),(53,1)}
        37:{2,3,4,7}:{(23,1),(25,1),(48,1),(53,1),(91,1)}
        38:{1,3,4,7}:{(24,1),(25,1),(49,1),(53,1),(91,1)}
        39:{3,4,6,7}:{(25,1),(26,1),(27,1),(50,1),(54,1),(80,1)}
        40:{3,5,6}:{(26,1),(28,1),(54,1),(55,1)}
        41:{1,2,5,7}:{(27,1),(28,1),(54,1)}
        42:{2,4,5,6}:{(29,1),(31,1),(57,1)}
        43:{1,4,5,6}:{(29,1),(32,1),(58,1)}
        44:{3,4,5,7}:{(29,1),(33,1),(57,1),(58,1),(59,1),(68,1),(83,1),(104,1)}
        45:{1,2,3,5}:{(30,1),(60,1)}
        46:{1,2,3,4,7}:{(30,1),(62,1),(67,1),(88,1)}
        47:{1,2,5,6}:{(31,1),(32,1),(36,1),(63,1)}
        48:{2,3,5,7}:{(31,1),(33,1),(37,1),(57,1),(63,1),(64,1),(83,1)}
        49:{1,3,5,7}:{(32,1),(33,1),(38,1),(58,1),(63,1),(65,1),(83,1)}
        50:{3,6,7}:{(33,1),(34,1)}
        51:{1,2,5,6,7}:{(34,1),(41,1),(66,1),(85,1),(86,1)}
        52:{1,2,3,6}:{(35,1),(36,1),(67,1)}
        53:{1,2,4,7}:{(36,1),(37,1),(38,1),(63,1),(67,1)}
        54:{3,5,7}:{(39,1),(40,1),(41,1),(68,1)}
        55:{4,5,6}:{(40,1),(68,1)}
        56:{1,2,4,5,6}:{(42,1),(43,1),(47,1),(70,1),(71,1),(75,1),(96,1),(102,1)}
        57:{2,4,5,7}:{(42,1),(44,1),(48,1),(72,1)}
        58:{1,4,5,7}:{(43,1),(44,1),(49,1),(73,1)}
        59:{3,4,6,7}:{(44,1),(50,1),(72,1),(73,1),(74,1),(80,1),(93,1),(103,1)}
        60:{1,2,4,5}:{(45,1),(69,1),(75,1)}
        61:{1,2,3,5,6}:{(45,1),(47,1),(52,1),(70,1),(75,1),(77,1),(78,1),(96,1)}
        62:{1,2,3,5,7}:{(45,1),(46,1),(76,1),(78,1)}
        63:{1,2,5,7}:{(47,1),(48,1),(49,1),(53,1),(79,1)}
        64:{2,3,6,7}:{(48,1),(50,1),(72,1),(79,1),(93,1)}
        65:{1,3,6,7}:{(49,1),(50,1),(73,1),(79,1),(93,1)}
        66:{3,5,6,7}:{(50,1),(51,1),(54,1),(80,1)}
        67:{1,2,3,7}:{(52,1),(53,1)}
        68:{4,5,7}:{(54,1),(55,1),(80,1)}
        69:{3,4,5}:{(60,1),(81,1)}
        70:{3,5,6}:{(56,1),(81,1),(83,1)}
        71:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(63,1),(83,1),(84,1),(88,1),(100,1),(104,1)}
        72:{2,4,6,7}:{(57,1),(59,1),(64,1),(85,1)}
        73:{1,4,6,7}:{(58,1),(59,1),(65,1),(86,1)}
        74:{3,5,6,7}:{(59,1),(85,1),(86,1),(87,1)}
        75:{1,2,4,6}:{(60,1),(61,1),(81,1),(88,1)}
        76:{1,2,4,5,7}:{(60,1),(62,1),(82,1),(88,1),(89,1),(100,1)}
        77:{1,2,3,5,7}:{(61,1),(63,1),(67,1),(83,1),(88,1),(90,1),(100,1)}
        78:{1,2,3,6}:{(62,1),(89,1)}
        79:{1,2,6,7}:{(63,1),(64,1),(65,1)}
        80:{4,6,7}:{(66,1),(68,1)}
        81:{3,4,6}:{(69,1),(70,1),(75,1),(91,1)}
        82:{3,4,5,7}:{(69,1),(76,1),(91,1),(92,1),(101,1)}
        83:{3,5,7}:{(70,1),(71,1),(91,1),(93,1)}
        84:{1,2,4,6,7}:{(71,1),(72,1),(73,1),(79,1),(93,1),(94,1),(103,1)}
        85:{2,5,6,7}:{(72,1),(74,1)}
        86:{1,5,6,7}:{(73,1),(74,1)}
        87:{4,5,6,7}:{(74,1),(80,1),(103,1)}
        88:{1,2,4,7}:{(75,1),(77,1),(91,1)}
        89:{1,2,4,6}:{(76,1),(78,1),(92,1),(96,1)}
        90:{1,2,3,6,7}:{(77,1),(78,1),(79,1),(93,1),(95,1)}
        91:{3,4,7}:{(81,1),(83,1),(88,1)}
        92:{3,4,6}:{(82,1),(89,1),(98,1)}
        93:{3,6,7}:{(83,1),(84,1)}
        94:{1,2,5,6,7}:{(84,1),(85,1),(86,1),(99,1),(100,1)}
        95:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(97,1),(100,1)}
        96:{1,2,5,6}:{(89,1),(98,1),(100,1)}
        97:{3,4,6,7}:{(91,1),(92,1),(93,1),(95,1),(101,1),(103,1)}
        98:{3,5,6}:{(92,1),(96,1),(101,1),(102,1)}
        99:{3,5,6,7}:{(93,1),(94,1),(101,1),(103,1)}
       100:{1,2,5,7}:{(95,1),(96,1),(101,1)}
       101:{3,5,7}:{(97,1),(98,1),(100,1),(104,1)}
       102:{4,5,6}:{(98,1),(104,1)}
       103:{4,6,7}:{(99,1),(104,1)}
       104:{4,5,7}:{(101,1),(102,1),(103,1)}

1229 :   0:{1,2,3,4,7}:{(1,1),(2,1),(21,1),(65,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1)}
         2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(15,1),(54,1),(55,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(21,1)}
         4:{1,2,3,6}:{(1,1),(7,1)}
         5:{1,2,3,5}:{(2,1),(10,1)}
         6:{3,4,5,7}:{(3,1),(11,1),(16,1),(25,1),(30,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(11,1),(13,1)}
         8:{1,2,3,6,7}:{(4,1),(12,1),(14,1),(49,1),(72,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(15,1),(29,1),(52,1),(54,1)}
        10:{1,2,4,5}:{(5,1),(15,1),(16,1)}
        11:{3,4,6}:{(6,1),(7,1),(18,1)}
        12:{1,2,4,6,7}:{(7,1),(8,1),(17,1),(19,1),(21,1)}
        13:{1,2,5,6}:{(7,1),(18,1),(19,1)}
        14:{1,2,3,5,7}:{(8,1),(9,1),(19,1),(21,1),(38,1),(63,1),(65,1)}
        15:{1,2,4,6}:{(9,1),(10,1),(21,1),(22,1)}
        16:{3,4,5}:{(10,1),(22,1)}
        17:{3,4,6,7}:{(11,1),(12,1),(25,1),(30,1),(45,1),(49,1)}
        18:{3,5,6}:{(11,1),(13,1),(25,1),(26,1)}
        19:{1,2,5,7}:{(12,1),(13,1),(25,1)}
        20:{1,2,4,5,6}:{(13,1),(15,1),(26,1),(28,1),(29,1),(47,1),(48,1),(52,1)}
        21:{1,2,4,7}:{(14,1),(15,1),(30,1)}
        22:{3,4,6}:{(15,1),(16,1),(29,1),(30,1)}
        23:{1,3,4,5}:{(16,1),(31,1),(33,1),(89,1)}
        24:{2,3,4,5}:{(16,1),(32,1),(33,1),(89,1)}
        25:{3,5,7}:{(17,1),(18,1),(19,1),(35,1)}
        26:{4,5,6}:{(18,1),(35,1)}
        27:{1,2,5,6,7}:{(19,1),(34,1),(37,1),(77,1),(78,1)}
        28:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(35,1),(37,1),(38,1),(58,1),(59,1),(63,1)}
        29:{3,5,6}:{(20,1),(22,1),(38,1)}
        30:{3,4,7}:{(21,1),(22,1),(38,1)}
        31:{1,3,4,6}:{(22,1),(23,1),(39,1),(41,1),(43,1),(81,1)}
        32:{2,3,4,6}:{(22,1),(24,1),(40,1),(42,1),(43,1),(81,1)}
        33:{1,2,4,5}:{(23,1),(24,1),(43,1),(44,1)}
        34:{3,5,6,7}:{(25,1),(27,1),(45,1),(49,1)}
        35:{4,5,7}:{(25,1),(26,1),(45,1)}
        36:{3,4,5,6}:{(26,1),(29,1),(46,1),(47,1),(48,1),(71,1),(104,1)}
        37:{1,2,4,6,7}:{(27,1),(28,1),(45,1),(49,1),(68,1),(69,1),(72,1)}
        38:{3,5,7}:{(28,1),(29,1),(30,1),(49,1)}
        39:{1,3,5,6}:{(29,1),(31,1),(47,1),(50,1),(52,1),(71,1)}
        40:{2,3,5,6}:{(29,1),(32,1),(48,1),(51,1),(52,1),(71,1)}
        41:{1,3,4,7}:{(30,1),(31,1),(50,1),(53,1),(88,1)}
        42:{2,3,4,7}:{(30,1),(32,1),(51,1),(53,1),(88,1)}
        43:{1,2,4,6}:{(31,1),(32,1),(33,1),(52,1),(53,1),(54,1)}
        44:{1,2,3,5}:{(33,1),(54,1),(55,1)}
        45:{4,6,7}:{(34,1),(35,1)}
        46:{3,4,5,7}:{(35,1),(36,1),(38,1),(57,1),(58,1),(59,1),(80,1),(102,1)}
        47:{1,4,5,6}:{(36,1),(39,1),(58,1)}
        48:{2,4,5,6}:{(36,1),(40,1),(59,1)}
        49:{3,6,7}:{(37,1),(38,1)}
        50:{1,3,5,7}:{(38,1),(39,1),(41,1),(58,1),(61,1),(63,1),(80,1)}
        51:{2,3,5,7}:{(38,1),(40,1),(42,1),(59,1),(62,1),(63,1),(80,1)}
        52:{1,2,5,6}:{(39,1),(40,1),(43,1),(63,1)}
        53:{1,2,4,7}:{(41,1),(42,1),(43,1),(63,1),(65,1)}
        54:{1,2,3,6}:{(43,1),(44,1),(65,1)}
        55:{1,2,3,4}:{(44,1)}
        56:{4,5,6,7}:{(45,1),(67,1),(98,1)}
        57:{3,4,6,7}:{(45,1),(46,1),(49,1),(67,1),(68,1),(69,1),(87,1),(98,1)}
        58:{1,4,5,7}:{(46,1),(47,1),(50,1),(68,1)}
        59:{2,4,5,7}:{(46,1),(48,1),(51,1),(69,1)}
        60:{1,2,4,5,6}:{(47,1),(48,1),(52,1),(70,1),(71,1),(74,1),(101,1),(104,1)}
        61:{1,3,6,7}:{(49,1),(50,1),(68,1),(72,1),(87,1)}
        62:{2,3,6,7}:{(49,1),(51,1),(69,1),(72,1),(87,1)}
        63:{1,2,5,7}:{(50,1),(51,1),(52,1),(53,1),(72,1)}
        64:{1,2,3,5,6}:{(52,1),(54,1),(71,1),(73,1),(74,1),(76,1),(92,1),(101,1)}
        65:{1,2,3,7}:{(53,1),(54,1)}
        66:{1,2,3,4,6}:{(54,1),(55,1),(74,1),(75,1),(76,1),(92,1)}
        67:{3,5,6,7}:{(56,1),(57,1),(77,1),(78,1)}
        68:{1,4,6,7}:{(57,1),(58,1),(61,1),(77,1)}
        69:{2,4,6,7}:{(57,1),(59,1),(62,1),(78,1)}
        70:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(63,1),(79,1),(80,1),(83,1),(96,1),(102,1)}
        71:{3,5,6}:{(60,1),(80,1),(81,1)}
        72:{1,2,6,7}:{(61,1),(62,1),(63,1)}
        73:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(80,1),(82,1),(83,1),(96,1)}
        74:{1,2,4,6}:{(64,1),(81,1),(83,1),(84,1)}
        75:{1,2,3,4,7}:{(65,1),(66,1),(83,1),(85,1)}
        76:{1,2,3,5}:{(66,1),(84,1)}
        77:{1,5,6,7}:{(67,1),(68,1)}
        78:{2,5,6,7}:{(67,1),(69,1)}
        79:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(72,1),(86,1),(87,1),(98,1)}
        80:{3,5,7}:{(70,1),(71,1),(87,1),(88,1)}
        81:{3,4,6}:{(71,1),(74,1),(88,1),(89,1)}
        82:{1,2,3,6,7}:{(72,1),(73,1),(87,1),(90,1),(92,1)}
        83:{1,2,4,7}:{(73,1),(74,1),(88,1)}
        84:{1,2,4,5}:{(74,1),(76,1),(89,1)}
        85:{1,2,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,2,5,6,7}:{(77,1),(78,1),(79,1),(93,1),(96,1)}
        87:{3,6,7}:{(79,1),(80,1)}
        88:{3,4,7}:{(80,1),(81,1),(83,1)}
        89:{3,4,5}:{(81,1),(84,1)}
        90:{1,2,4,6,7}:{(82,1),(83,1),(94,1),(96,1),(97,1)}
        91:{1,2,4,5,7}:{(83,1),(84,1),(85,1),(95,1),(96,1),(97,1)}
        92:{1,2,3,6}:{(85,1),(97,1)}
        93:{3,5,6,7}:{(86,1),(87,1),(98,1),(99,1)}
        94:{3,4,6,7}:{(87,1),(88,1),(90,1),(98,1),(99,1),(100,1)}
        95:{3,4,5,7}:{(88,1),(89,1),(91,1),(99,1),(100,1)}
        96:{1,2,5,7}:{(90,1),(99,1),(101,1)}
        97:{1,2,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{4,6,7}:{(93,1),(102,1)}
        99:{3,5,7}:{(94,1),(96,1),(102,1),(103,1)}
       100:{3,4,6}:{(95,1),(97,1),(103,1)}
       101:{1,2,5,6}:{(96,1),(97,1),(103,1)}
       102:{4,5,7}:{(98,1),(99,1),(104,1)}
       103:{3,5,6}:{(99,1),(100,1),(101,1),(104,1)}
       104:{4,5,6}:{(102,1),(103,1)}

1230 :  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:{3,4,5}:{(2,1),(7,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
        6:{1,2,3,7}:{(3,1),(9,1)}
        7:{3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,5,6}:{(5,1),(10,1),(12,1)}
        9:{1,2,4,7}:{(5,1),(6,1),(11,1),(12,1)}
       10:{3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{3,4,7}:{(7,1),(9,1),(14,1)}
       12:{1,2,5,7}:{(8,1),(9,1),(14,1),(15,1)}
       13:{4,5,6}:{(10,1),(16,1)}
       14:{3,5,7}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
       15:{1,2,6,7}:{(12,1),(17,1)}
       16:{4,5,7}:{(13,1),(14,1),(18,1)}
       17:{3,6,7}:{(14,1),(15,1),(18,1)}
       18:{4,6,7}:{(16,1),(17,1),(19,1)}
       19:{5,6,7}:{(18,1)}

1231 :   0:{1,3,4,6}:{(2,1),(3,1),(4,1),(19,1),(29,1),(62,1),(71,1),(129,1)}
         1:{2,3,4,6}:{(2,1),(5,1),(6,1),(21,1),(32,1),(62,1),(71,1),(129,1)}
         2:{1,2,4,6}:{(0,1),(1,1),(9,1),(10,1),(11,1),(45,1),(49,1)}
         3:{1,3,5}:{(0,1),(10,1),(12,1),(47,1),(155,1)}
         4:{1,3,4,7}:{(0,1),(11,1),(13,1),(40,1),(92,1),(102,1),(226,1)}
         5:{2,3,5}:{(1,1),(10,1),(14,1),(47,1),(155,1)}
         6:{2,3,4,7}:{(1,1),(11,1),(15,1),(43,1),(92,1),(102,1),(227,1)}
         7:{1,3,5,6}:{(3,1),(18,1),(19,1),(20,1),(29,1),(33,1),(62,1),(80,1),(134,1)}
         8:{2,3,5,6}:{(5,1),(18,1),(21,1),(22,1),(32,1),(35,1),(62,1),(83,1),(134,1)}
         9:{1,2,3,6}:{(2,1),(23,1),(24,1),(62,1),(117,1)}
        10:{1,2,5}:{(2,1),(3,1),(5,1)}
        11:{1,2,4,7}:{(2,1),(4,1),(6,1),(24,1),(26,1),(229,1)}
        12:{1,4,5}:{(3,1),(19,1),(27,1),(174,1)}
        13:{1,3,5,7}:{(3,1),(4,1),(26,1),(28,1),(29,1),(76,1),(219,1),(222,1)}
        14:{2,4,5}:{(5,1),(21,1),(30,1),(174,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(26,1),(31,1),(32,1),(76,1),(220,1),(223,1)}
        16:{1,4,5,6}:{(19,1),(33,1),(34,1),(80,1),(136,1)}
        17:{2,4,5,6}:{(21,1),(35,1),(36,1),(83,1),(138,1)}
        18:{1,2,5,6}:{(7,1),(8,1),(10,1),(37,1),(38,1),(49,1),(56,1),(59,1)}
        19:{1,4,6}:{(7,1),(12,1),(39,1),(40,1),(159,1)}
        20:{1,3,5,7}:{(7,1),(38,1),(40,1),(41,1),(57,1),(92,1),(96,1),(146,1)}
        21:{2,4,6}:{(8,1),(14,1),(42,1),(43,1),(159,1)}
        22:{2,3,5,7}:{(8,1),(38,1),(43,1),(44,1),(60,1),(92,1),(99,1),(146,1)}
        23:{1,2,3,5}:{(9,1),(10,1),(45,1),(47,1),(104,1),(151,1)}
        24:{1,2,3,7}:{(9,1),(11,1),(92,1),(143,1),(230,1)}
        25:{1,2,4,5}:{(10,1),(12,1),(14,1),(37,1),(45,1),(47,1),(50,1),(53,1),(104,1)}
        26:{1,2,5,7}:{(10,1),(11,1),(13,1),(15,1),(49,1),(225,1),(228,1)}
        27:{3,4,5}:{(12,1),(39,1),(47,1),(50,1)}
        28:{1,4,5,7}:{(12,1),(13,1),(40,1),(51,1),(52,1),(96,1),(212,1),(216,1)}
        29:{1,3,6}:{(13,1),(49,1),(52,1),(107,1)}
        30:{3,4,5}:{(14,1),(42,1),(47,1),(53,1)}
        31:{2,4,5,7}:{(14,1),(15,1),(43,1),(54,1),(55,1),(99,1),(211,1),(215,1)}
        32:{2,3,6}:{(15,1),(49,1),(55,1),(107,1)}
        33:{3,5,6}:{(16,1),(39,1),(56,1),(57,1)}
        34:{1,4,5,7}:{(16,1),(40,1),(57,1),(58,1),(96,1),(148,1)}
        35:{3,5,6}:{(17,1),(42,1),(59,1),(60,1)}
        36:{2,4,5,7}:{(17,1),(43,1),(60,1),(61,1),(99,1),(150,1)}
        37:{1,2,4,6}:{(18,1),(19,1),(21,1),(25,1),(62,1),(63,1),(65,1),(68,1),(117,1)}
        38:{1,2,5,7}:{(18,1),(20,1),(22,1),(63,1),(64,1),(84,1),(87,1)}
        39:{3,4,6}:{(19,1),(27,1),(33,1),(62,1),(65,1),(66,1)}
        40:{1,4,7}:{(19,1),(20,1),(66,1),(167,1)}
        41:{1,3,6,7}:{(20,1),(29,1),(64,1),(67,1),(85,1),(120,1),(219,1)}
        42:{3,4,6}:{(21,1),(30,1),(35,1),(62,1),(68,1),(69,1)}
        43:{2,4,7}:{(21,1),(22,1),(69,1),(167,1)}
        44:{2,3,6,7}:{(22,1),(32,1),(64,1),(70,1),(88,1),(120,1),(220,1)}
        45:{1,2,4}:{(23,1),(71,1)}
        46:{1,2,3,5,7}:{(23,1),(24,1),(26,1),(72,1),(73,1),(76,1),(130,1),(131,1),(170,1),(203,1)}
        47:{3,5}:{(25,1),(62,1),(71,1)}
        48:{1,2,4,5,7}:{(25,1),(26,1),(28,1),(31,1),(63,1),(72,1),(76,1),(77,1),(78,1),(81,1),(121,1),(130,1),(131,1),(167,1),(174,1),(198,1),(204,1)}
        49:{1,2,6}:{(26,1),(29,1),(32,1)}
        50:{2,4,5}:{(27,1),(65,1),(75,1)}
        51:{3,4,5,7}:{(27,1),(28,1),(66,1),(76,1),(78,1),(79,1),(123,1),(167,1),(174,1),(200,1),(206,1)}
        52:{1,4,6}:{(28,1),(29,1),(79,1),(80,1)}
        53:{1,4,5}:{(30,1),(68,1),(74,1)}
        54:{3,4,5,7}:{(30,1),(31,1),(69,1),(76,1),(81,1),(82,1),(125,1),(167,1),(174,1),(199,1),(205,1)}
        55:{2,4,6}:{(31,1),(32,1),(82,1),(83,1)}
        56:{2,5,6}:{(33,1),(65,1),(84,1)}
        57:{3,5,7}:{(33,1),(34,1),(66,1),(84,1),(85,1)}
        58:{1,4,6,7}:{(34,1),(85,1),(86,1),(140,1)}
        59:{1,5,6}:{(35,1),(68,1),(87,1)}
        60:{3,5,7}:{(35,1),(36,1),(69,1),(87,1),(88,1)}
        61:{2,4,6,7}:{(36,1),(88,1),(89,1),(142,1)}
        62:{3,6}:{(37,1),(47,1),(92,1)}
        63:{1,2,4,7}:{(37,1),(38,1),(40,1),(43,1),(92,1),(94,1),(97,1),(143,1)}
        64:{1,2,6,7}:{(38,1),(41,1),(44,1),(49,1),(113,1),(115,1),(225,1)}
        65:{2,4,6}:{(39,1),(50,1),(56,1),(91,1),(94,1)}
        66:{3,4,7}:{(39,1),(40,1),(57,1),(92,1),(94,1)}
        67:{1,4,6,7}:{(40,1),(41,1),(52,1),(95,1),(96,1),(196,1),(212,1)}
        68:{1,4,6}:{(42,1),(53,1),(59,1),(90,1),(97,1)}
        69:{3,4,7}:{(42,1),(43,1),(60,1),(92,1),(97,1)}
        70:{2,4,6,7}:{(43,1),(44,1),(55,1),(98,1),(99,1),(197,1),(211,1)}
        71:{3,4}:{(45,1),(47,1)}
        72:{1,2,4,7}:{(45,1),(46,1),(102,1),(103,1),(213,1)}
        73:{1,2,3,6}:{(46,1),(49,1),(103,1),(107,1),(156,1)}
        74:{1,3,5}:{(47,1),(53,1),(90,1),(100,1),(104,1)}
        75:{2,3,5}:{(47,1),(50,1),(91,1),(101,1),(104,1)}
        76:{3,5,7}:{(47,1),(48,1),(92,1),(102,1),(107,1),(155,1),(210,1),(214,1)}
        77:{1,2,4,6}:{(48,1),(49,1),(52,1),(55,1),(107,1),(108,1),(109,1),(111,1),(156,1),(159,1)}
        78:{2,4,5,7}:{(50,1),(51,1),(94,1),(106,1),(109,1),(147,1),(184,1),(190,1)}
        79:{3,4,6}:{(51,1),(52,1),(107,1),(109,1),(110,1),(159,1)}
        80:{1,5,6}:{(52,1),(96,1),(110,1)}
        81:{1,4,5,7}:{(53,1),(54,1),(97,1),(105,1),(111,1),(149,1),(183,1),(189,1)}
        82:{3,4,6}:{(54,1),(55,1),(107,1),(111,1),(112,1),(159,1)}
        83:{2,5,6}:{(55,1),(99,1),(112,1)}
        84:{2,5,7}:{(56,1),(57,1),(94,1),(113,1)}
        85:{3,6,7}:{(57,1),(58,1),(113,1)}
        86:{1,5,6,7}:{(58,1),(96,1),(114,1),(196,1)}
        87:{1,5,7}:{(59,1),(60,1),(97,1),(115,1)}
        88:{3,6,7}:{(60,1),(61,1),(115,1)}
        89:{2,5,6,7}:{(61,1),(99,1),(116,1),(197,1)}
        90:{1,3,6}:{(62,1),(68,1),(74,1),(117,1),(118,1)}
        91:{2,3,6}:{(62,1),(65,1),(75,1),(117,1),(119,1)}
        92:{3,7}:{(62,1),(63,1)}
        93:{1,2,4,6,7}:{(63,1),(64,1),(67,1),(70,1),(77,1),(120,1),(121,1),(122,1),(124,1),(164,1),(167,1),(198,1)}
        94:{2,4,7}:{(65,1),(66,1),(84,1),(119,1)}
        95:{3,4,6,7}:{(66,1),(67,1),(79,1),(85,1),(120,1),(122,1),(123,1),(140,1),(167,1),(180,1),(200,1)}
        96:{1,5,7}:{(67,1),(80,1),(123,1)}
        97:{1,4,7}:{(68,1),(69,1),(87,1),(118,1)}
        98:{3,4,6,7}:{(69,1),(70,1),(82,1),(88,1),(120,1),(124,1),(125,1),(142,1),(167,1),(181,1),(199,1)}
        99:{2,5,7}:{(70,1),(83,1),(125,1)}
       100:{1,3,4}:{(71,1),(74,1),(126,1)}
       101:{2,3,4}:{(71,1),(75,1),(126,1)}
       102:{3,4,7}:{(71,1),(72,1),(76,1),(129,1),(167,1),(221,1)}
       103:{1,2,4,6}:{(72,1),(73,1),(129,1),(130,1)}
       104:{1,2,5}:{(74,1),(75,1),(117,1),(126,1)}
       105:{1,3,5,7}:{(74,1),(76,1),(81,1),(118,1),(127,1),(131,1),(132,1),(172,1)}
       106:{2,3,5,7}:{(75,1),(76,1),(78,1),(119,1),(128,1),(131,1),(133,1),(173,1)}
       107:{3,6}:{(76,1),(77,1)}
       108:{1,2,5,6}:{(77,1),(80,1),(83,1),(121,1),(130,1),(134,1),(135,1),(137,1)}
       109:{2,4,6}:{(78,1),(79,1),(133,1),(135,1)}
       110:{3,5,6}:{(79,1),(80,1),(123,1),(135,1),(136,1)}
       111:{1,4,6}:{(81,1),(82,1),(132,1),(137,1)}
       112:{3,5,6}:{(82,1),(83,1),(125,1),(137,1),(138,1)}
       113:{2,6,7}:{(84,1),(85,1)}
       114:{3,5,6,7}:{(85,1),(86,1),(123,1),(139,1),(140,1),(180,1)}
       115:{1,6,7}:{(87,1),(88,1)}
       116:{3,5,6,7}:{(88,1),(89,1),(125,1),(141,1),(142,1),(181,1)}
       117:{1,2,6}:{(90,1),(91,1),(104,1),(143,1)}
       118:{1,3,7}:{(90,1),(92,1),(97,1),(143,1)}
       119:{2,3,7}:{(91,1),(92,1),(94,1),(143,1)}
       120:{3,6,7}:{(92,1),(93,1),(107,1),(146,1),(210,1)}
       121:{1,2,5,7}:{(93,1),(96,1),(99,1),(108,1),(146,1),(147,1),(149,1)}
       122:{2,4,6,7}:{(94,1),(95,1),(109,1),(113,1),(145,1),(147,1),(184,1)}
       123:{3,5,7}:{(95,1),(96,1),(110,1),(147,1),(148,1)}
       124:{1,4,6,7}:{(97,1),(98,1),(111,1),(115,1),(144,1),(149,1),(183,1)}
       125:{3,5,7}:{(98,1),(99,1),(112,1),(149,1),(150,1)}
       126:{1,2,4}:{(100,1),(101,1),(104,1),(151,1)}
       127:{1,3,4,7}:{(100,1),(102,1),(105,1),(152,1),(153,1),(183,1),(210,1)}
       128:{2,3,4,7}:{(101,1),(102,1),(106,1),(152,1),(154,1),(184,1),(210,1)}
       129:{3,4,6}:{(102,1),(103,1),(107,1),(155,1),(159,1)}
       130:{1,2,5}:{(103,1),(155,1)}
       131:{1,2,5,7}:{(104,1),(105,1),(106,1),(143,1),(152,1),(156,1),(188,1)}
       132:{1,3,6}:{(105,1),(107,1),(111,1),(156,1)}
       133:{2,3,6}:{(106,1),(107,1),(109,1),(156,1)}
       134:{3,5,6}:{(107,1),(108,1),(146,1),(155,1),(159,1)}
       135:{2,5,6}:{(109,1),(110,1),(147,1)}
       136:{4,5,6}:{(110,1),(148,1),(159,1)}
       137:{1,5,6}:{(111,1),(112,1),(149,1)}
       138:{4,5,6}:{(112,1),(150,1),(159,1)}
       139:{2,5,6,7}:{(113,1),(114,1),(147,1),(162,1)}
       140:{4,6,7}:{(114,1),(148,1)}
       141:{1,5,6,7}:{(115,1),(116,1),(149,1),(163,1)}
       142:{4,6,7}:{(116,1),(150,1)}
       143:{1,2,7}:{(117,1),(118,1),(119,1)}
       144:{1,3,6,7}:{(118,1),(120,1),(124,1),(132,1),(164,1),(165,1),(181,1)}
       145:{2,3,6,7}:{(119,1),(120,1),(122,1),(133,1),(164,1),(166,1),(180,1)}
       146:{3,5,7}:{(120,1),(121,1),(134,1),(167,1)}
       147:{2,5,7}:{(122,1),(123,1),(135,1)}
       148:{4,5,7}:{(123,1),(136,1),(140,1),(167,1)}
       149:{1,5,7}:{(124,1),(125,1),(137,1)}
       150:{4,5,7}:{(125,1),(138,1),(142,1),(167,1)}
       151:{1,2,3}:{(126,1)}
       152:{1,2,4,7}:{(126,1),(127,1),(128,1),(131,1),(170,1),(171,1)}
       153:{1,3,4,6}:{(127,1),(129,1),(132,1),(171,1),(172,1),(176,1),(207,1),(221,1)}
       154:{2,3,4,6}:{(128,1),(129,1),(133,1),(171,1),(173,1),(177,1),(207,1),(221,1)}
       155:{3,5}:{(129,1),(130,1),(174,1)}
       156:{1,2,6}:{(131,1),(132,1),(133,1)}
       157:{1,3,5,6}:{(132,1),(134,1),(137,1),(165,1),(172,1),(175,1),(176,1),(179,1),(207,1)}
       158:{2,3,5,6}:{(133,1),(134,1),(135,1),(166,1),(173,1),(175,1),(177,1),(178,1),(207,1)}
       159:{4,6}:{(134,1),(167,1),(174,1)}
       160:{2,4,5,6}:{(135,1),(136,1),(168,1),(177,1),(178,1)}
       161:{1,4,5,6}:{(137,1),(138,1),(169,1),(176,1),(179,1)}
       162:{2,4,6,7}:{(139,1),(140,1),(168,1),(180,1)}
       163:{1,4,6,7}:{(141,1),(142,1),(169,1),(181,1)}
       164:{1,2,6,7}:{(143,1),(144,1),(145,1),(156,1),(182,1),(196,1),(197,1)}
       165:{1,3,5,7}:{(144,1),(146,1),(149,1),(157,1),(182,1),(183,1),(186,1),(210,1)}
       166:{2,3,5,7}:{(145,1),(146,1),(147,1),(158,1),(182,1),(184,1),(185,1),(210,1)}
       167:{4,7}:{(146,1),(159,1)}
       168:{2,4,5,7}:{(147,1),(148,1),(160,1),(162,1),(184,1),(185,1)}
       169:{1,4,5,7}:{(149,1),(150,1),(161,1),(163,1),(183,1),(186,1)}
       170:{1,2,3,7}:{(151,1),(152,1),(187,1),(210,1),(225,1)}
       171:{1,2,4,6}:{(152,1),(153,1),(154,1),(156,1),(187,1),(188,1),(213,1)}
       172:{1,3,5}:{(153,1),(155,1),(188,1),(189,1),(214,1)}
       173:{2,3,5}:{(154,1),(155,1),(188,1),(190,1),(214,1)}
       174:{4,5}:{(155,1),(159,1)}
       175:{1,2,5,6}:{(156,1),(157,1),(158,1),(182,1),(188,1),(191,1),(194,1),(195,1)}
       176:{1,4,6}:{(157,1),(159,1),(183,1),(189,1),(192,1)}
       177:{2,4,6}:{(158,1),(159,1),(184,1),(190,1),(193,1)}
       178:{3,5,6}:{(160,1),(185,1),(193,1),(194,1)}
       179:{3,5,6}:{(161,1),(186,1),(192,1),(195,1)}
       180:{3,6,7}:{(162,1),(185,1),(196,1)}
       181:{3,6,7}:{(163,1),(186,1),(197,1)}
       182:{1,2,5,7}:{(164,1),(165,1),(166,1),(175,1),(198,1),(201,1),(202,1)}
       183:{1,4,7}:{(165,1),(167,1),(176,1),(199,1)}
       184:{2,4,7}:{(166,1),(167,1),(177,1),(200,1)}
       185:{3,5,7}:{(168,1),(178,1),(180,1),(200,1),(201,1)}
       186:{3,5,7}:{(169,1),(179,1),(181,1),(199,1),(202,1)}
       187:{1,2,3,6}:{(170,1),(171,1),(203,1),(207,1),(224,1)}
       188:{1,2,5}:{(171,1),(172,1),(173,1)}
       189:{1,4,5}:{(172,1),(174,1),(176,1),(205,1)}
       190:{2,4,5}:{(173,1),(174,1),(177,1),(206,1)}
       191:{1,2,4,6}:{(175,1),(176,1),(177,1),(198,1),(204,1),(207,1),(208,1),(209,1),(224,1)}
       192:{3,4,6}:{(176,1),(179,1),(199,1),(205,1),(207,1),(208,1)}
       193:{3,4,6}:{(177,1),(178,1),(200,1),(206,1),(207,1),(209,1)}
       194:{1,5,6}:{(178,1),(201,1),(209,1)}
       195:{2,5,6}:{(179,1),(202,1),(208,1)}
       196:{1,6,7}:{(180,1),(201,1)}
       197:{2,6,7}:{(181,1),(202,1)}
       198:{1,2,4,7}:{(182,1),(183,1),(184,1),(191,1),(210,1),(211,1),(212,1),(225,1)}
       199:{3,4,7}:{(183,1),(186,1),(192,1),(210,1),(211,1)}
       200:{3,4,7}:{(184,1),(185,1),(193,1),(210,1),(212,1)}
       201:{1,5,7}:{(185,1),(194,1),(196,1),(212,1)}
       202:{2,5,7}:{(186,1),(195,1),(197,1),(211,1)}
       203:{1,2,3,5}:{(187,1),(188,1),(213,1),(214,1),(228,1),(230,1)}
       204:{1,2,4,5}:{(188,1),(189,1),(190,1),(191,1),(213,1),(214,1),(215,1),(216,1),(228,1)}
       205:{3,4,5}:{(189,1),(192,1),(214,1),(215,1)}
       206:{3,4,5}:{(190,1),(193,1),(214,1),(216,1)}
       207:{3,6}:{(191,1),(210,1),(214,1)}
       208:{2,4,6}:{(192,1),(195,1),(211,1),(215,1),(218,1)}
       209:{1,4,6}:{(193,1),(194,1),(212,1),(216,1),(217,1)}
       210:{3,7}:{(198,1),(207,1)}
       211:{2,4,7}:{(199,1),(202,1),(208,1),(220,1)}
       212:{1,4,7}:{(200,1),(201,1),(209,1),(219,1)}
       213:{1,2,4}:{(203,1),(221,1)}
       214:{3,5}:{(204,1),(207,1),(221,1)}
       215:{2,4,5}:{(205,1),(208,1),(223,1)}
       216:{1,4,5}:{(206,1),(209,1),(222,1)}
       217:{1,3,6}:{(207,1),(209,1),(219,1),(222,1),(224,1)}
       218:{2,3,6}:{(207,1),(208,1),(220,1),(223,1),(224,1)}
       219:{1,3,7}:{(210,1),(212,1),(217,1),(225,1)}
       220:{2,3,7}:{(210,1),(211,1),(218,1),(225,1)}
       221:{3,4}:{(213,1),(214,1)}
       222:{1,3,5}:{(214,1),(216,1),(217,1),(226,1),(228,1)}
       223:{2,3,5}:{(214,1),(215,1),(218,1),(227,1),(228,1)}
       224:{1,2,6}:{(217,1),(218,1),(225,1),(228,1)}
       225:{1,2,7}:{(219,1),(220,1),(224,1)}
       226:{1,3,4}:{(221,1),(222,1),(229,1)}
       227:{2,3,4}:{(221,1),(223,1),(229,1)}
       228:{1,2,5}:{(222,1),(223,1),(224,1),(229,1)}
       229:{1,2,4}:{(226,1),(227,1),(228,1),(230,1)}
       230:{1,2,3}:{(229,1)}

1232 :   0:{1,3,4,6,7}:{(1,1),(2,1),(13,1),(18,1),(32,1),(34,1),(42,1),(63,1),(75,1),(99,1),(108,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(20,1),(21,1),(30,1),(61,1),(94,1),(112,1)}
         2:{1,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(29,1),(79,1),(109,1)}
         3:{1,3,5,6,7}:{(6,1),(8,1),(9,1),(28,1),(29,1),(59,1),(116,1)}
         4:{2,3,6,7}:{(1,1),(10,1),(34,1),(108,1),(124,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(10,1),(11,1),(44,1),(121,1)}
         6:{1,3,5,6}:{(2,1),(11,1),(13,1),(34,1),(37,1)}
         7:{1,4,5,7}:{(2,1),(13,1),(14,1),(75,1),(95,1)}
         8:{1,2,5,6,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(72,1),(77,1),(103,1)}
         9:{1,4,6,7}:{(3,1),(13,1),(17,1),(18,1),(75,1),(127,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(19,1),(20,1),(22,1),(130,1)}
        11:{1,2,5,6}:{(5,1),(6,1),(19,1),(21,1),(53,1),(79,1)}
        12:{1,2,4,5,7}:{(5,1),(7,1),(20,1),(21,1),(22,1),(25,1),(45,1),(47,1),(52,1),(79,1),(94,1),(110,1)}
        13:{1,4,6}:{(6,1),(7,1),(24,1)}
        14:{3,4,5,7}:{(7,1),(22,1),(24,1),(25,1),(29,1),(58,1),(78,1)}
        15:{2,3,5,6,7}:{(8,1),(19,1),(26,1),(28,1),(55,1),(60,1),(88,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(21,1),(26,1),(27,1),(28,1),(30,1),(56,1),(61,1),(94,1),(115,1)}
        17:{1,4,5,7}:{(9,1),(23,1),(29,1),(134,1)}
        18:{3,4,6,7}:{(9,1),(24,1),(28,1),(29,1),(30,1),(58,1),(133,1)}
        19:{2,3,5,6}:{(10,1),(11,1),(31,1),(34,1),(62,1)}
        20:{2,4,7}:{(10,1),(31,1),(32,1),(136,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(13,1),(31,1),(34,1),(38,1),(63,1),(69,1)}
        22:{3,5,7}:{(12,1),(32,1),(34,1),(62,1),(108,1),(122,1)}
        23:{1,4,5,6}:{(13,1),(17,1),(37,1)}
        24:{3,4,6}:{(13,1),(14,1),(34,1),(37,1),(38,1)}
        25:{2,4,5,7}:{(14,1),(36,1),(38,1),(44,1),(76,1),(96,1)}
        26:{2,4,6,7}:{(15,1),(31,1),(39,1),(40,1),(76,1),(102,1)}
        27:{1,2,4,5,7}:{(16,1),(17,1),(33,1),(39,1),(41,1),(44,1),(72,1),(75,1),(76,1),(77,1)}
        28:{3,6,7}:{(16,1),(34,1),(41,1),(108,1),(126,1)}
        29:{3,5,7}:{(17,1),(18,1),(37,1),(44,1),(138,1)}
        30:{2,4,6,7}:{(18,1),(38,1),(43,1),(44,1),(76,1),(137,1)}
        31:{2,4,6}:{(19,1),(20,1),(45,1),(46,1)}
        32:{3,4,7}:{(20,1),(22,1),(46,1),(47,1),(131,1)}
        33:{1,2,4,5,6}:{(21,1),(23,1),(27,1),(45,1),(49,1),(53,1),(54,1),(79,1),(83,1),(84,1),(85,1),(87,1),(110,1),(115,1),(134,1),(139,1)}
        34:{3,6}:{(21,1),(22,1)}
        35:{1,3,5,7}:{(22,1),(47,1),(50,1),(52,1),(79,1),(82,1),(111,1)}
        36:{2,3,5,7}:{(22,1),(25,1),(48,1),(51,1),(52,1),(80,1)}
        37:{3,5,6}:{(23,1),(24,1),(29,1),(53,1)}
        38:{2,4,6}:{(24,1),(25,1),(51,1),(53,1)}
        39:{2,4,5,7}:{(26,1),(45,1),(54,1),(55,1)}
        40:{3,4,6,7}:{(26,1),(28,1),(46,1),(55,1),(56,1),(58,1),(86,1)}
        41:{3,5,7}:{(27,1),(28,1),(49,1),(58,1)}
        42:{1,3,6,7}:{(28,1),(50,1),(56,1),(59,1),(61,1),(114,1)}
        43:{2,3,6,7}:{(28,1),(30,1),(51,1),(60,1),(61,1),(132,1)}
        44:{2,5,7}:{(29,1),(30,1),(53,1),(139,1)}
        45:{2,4,5}:{(31,1),(62,1)}
        46:{3,4,6}:{(31,1),(32,1),(34,1),(62,1),(63,1)}
        47:{1,4,7}:{(32,1),(35,1),(63,1),(123,1)}
        48:{2,3,4,7}:{(32,1),(36,1),(64,1),(65,1),(76,1),(108,1)}
        49:{3,5,6}:{(33,1),(34,1),(41,1),(62,1),(66,1),(122,1),(126,1),(138,1)}
        50:{1,3,6}:{(34,1),(35,1),(63,1),(69,1)}
        51:{2,3,6}:{(34,1),(36,1),(38,1),(69,1)}
        52:{1,2,5,7}:{(35,1),(36,1),(65,1),(69,1),(97,1)}
        53:{2,5,6}:{(37,1),(38,1),(44,1)}
        54:{2,4,5,6}:{(39,1),(70,1),(102,1)}
        55:{3,5,7}:{(39,1),(40,1),(62,1),(70,1),(72,1)}
        56:{1,4,6,7}:{(40,1),(42,1),(63,1),(72,1),(75,1),(101,1)}
        57:{2,3,4,6,7}:{(40,1),(43,1),(64,1),(73,1),(74,1),(76,1),(102,1),(108,1),(126,1),(129,1),(137,1)}
        58:{3,4,7}:{(41,1),(66,1),(75,1),(76,1),(108,1)}
        59:{1,3,5,7}:{(41,1),(42,1),(67,1),(72,1),(75,1),(77,1),(108,1)}
        60:{2,3,5,7}:{(41,1),(43,1),(44,1),(68,1),(76,1),(77,1),(108,1)}
        61:{1,2,6,7}:{(42,1),(43,1),(69,1),(77,1),(125,1)}
        62:{3,5}:{(45,1),(46,1),(79,1)}
        63:{1,4,6}:{(46,1),(47,1),(50,1),(79,1)}
        64:{2,3,4,6}:{(46,1),(48,1),(51,1),(80,1),(81,1),(84,1),(113,1),(131,1)}
        65:{1,2,4,7}:{(47,1),(48,1),(52,1),(81,1),(82,1)}
        66:{3,4,6}:{(49,1),(58,1),(78,1),(83,1),(84,1),(113,1),(131,1)}
        67:{1,3,5,6}:{(49,1),(50,1),(59,1),(79,1),(83,1),(85,1),(87,1),(109,1),(111,1),(113,1),(114,1)}
        68:{2,3,5,6}:{(49,1),(51,1),(53,1),(60,1),(80,1),(84,1),(85,1),(113,1),(130,1),(132,1),(139,1)}
        69:{1,2,6}:{(50,1),(51,1),(52,1)}
        70:{3,5,6}:{(54,1),(55,1),(86,1),(87,1)}
        71:{3,4,5,7}:{(55,1),(58,1),(78,1),(86,1),(89,1),(90,1),(118,1)}
        72:{1,5,7}:{(55,1),(56,1),(79,1),(87,1)}
        73:{2,3,5,7}:{(55,1),(57,1),(80,1),(88,1),(90,1),(91,1),(118,1),(139,1)}
        74:{1,2,4,6,7}:{(56,1),(57,1),(61,1),(81,1),(91,1),(92,1),(94,1),(115,1),(119,1)}
        75:{1,4,7}:{(58,1),(59,1),(83,1)}
        76:{2,4,7}:{(58,1),(60,1),(84,1)}
        77:{1,2,5,7}:{(59,1),(60,1),(61,1),(85,1),(94,1)}
        78:{3,4,5}:{(62,1),(66,1),(95,1),(96,1),(122,1),(138,1)}
        79:{1,5}:{(62,1),(63,1)}
        80:{2,3,5}:{(62,1),(64,1),(96,1),(97,1),(122,1)}
        81:{1,2,4,6}:{(63,1),(64,1),(65,1),(69,1),(97,1),(98,1),(123,1)}
        82:{1,3,7}:{(65,1),(98,1),(108,1)}
        83:{1,4,6}:{(66,1),(67,1),(75,1),(95,1),(123,1)}
        84:{2,4,6}:{(66,1),(68,1),(76,1),(96,1),(136,1)}
        85:{1,2,5,6}:{(67,1),(68,1),(69,1),(77,1),(97,1),(100,1),(121,1),(125,1)}
        86:{3,4,6}:{(70,1),(71,1),(101,1),(102,1),(126,1)}
        87:{1,5,6}:{(70,1),(72,1),(101,1)}
        88:{2,3,5,6}:{(70,1),(73,1),(102,1),(103,1),(126,1)}
        89:{1,4,5,7}:{(71,1),(72,1),(75,1),(95,1),(101,1),(104,1)}
        90:{2,4,5,7}:{(71,1),(73,1),(76,1),(96,1),(102,1)}
        91:{1,2,5,7}:{(72,1),(73,1),(74,1),(97,1),(103,1),(106,1)}
        92:{1,3,6,7}:{(74,1),(98,1),(106,1),(108,1),(126,1)}
        93:{1,3,4,7}:{(75,1),(99,1),(104,1),(107,1),(108,1),(129,1)}
        94:{1,2,4,7}:{(75,1),(76,1),(77,1),(100,1),(108,1)}
        95:{1,4,5}:{(78,1),(79,1),(83,1),(109,1)}
        96:{2,4,5}:{(78,1),(80,1),(84,1),(139,1)}
        97:{1,2,5}:{(79,1),(80,1),(81,1),(111,1)}
        98:{1,3,6}:{(81,1),(82,1),(111,1),(113,1)}
        99:{1,3,4,6}:{(83,1),(93,1),(109,1),(112,1),(113,1),(114,1),(131,1),(133,1)}
       100:{1,2,4,6}:{(83,1),(84,1),(85,1),(94,1),(110,1),(113,1)}
       101:{1,4,6}:{(86,1),(87,1),(89,1),(114,1)}
       102:{2,4,6}:{(86,1),(88,1),(90,1)}
       103:{1,2,5,6}:{(87,1),(88,1),(91,1),(115,1),(116,1),(139,1)}
       104:{1,3,5,7}:{(89,1),(93,1),(109,1),(114,1),(117,1),(118,1)}
       105:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(110,1),(115,1),(117,1),(118,1),(119,1),(134,1),(135,1),(139,1)}
       106:{1,3,5,7}:{(91,1),(92,1),(111,1),(116,1),(118,1),(119,1)}
       107:{1,2,4,7}:{(93,1),(112,1),(117,1),(120,1),(135,1)}
       108:{3,7}:{(94,1),(113,1)}
       109:{1,3,5}:{(95,1),(99,1),(121,1),(122,1),(138,1)}
       110:{1,2,4,5}:{(95,1),(96,1),(97,1),(100,1),(121,1),(122,1),(123,1),(136,1)}
       111:{1,3,5}:{(97,1),(98,1),(122,1),(123,1)}
       112:{1,2,4,6}:{(99,1),(107,1),(121,1),(124,1),(125,1),(136,1),(137,1)}
       113:{3,6}:{(100,1),(108,1),(122,1)}
       114:{1,3,6}:{(101,1),(104,1),(125,1),(126,1)}
       115:{1,2,4,6}:{(101,1),(102,1),(103,1),(105,1),(125,1),(126,1),(127,1),(137,1)}
       116:{1,3,5,6}:{(103,1),(106,1),(126,1),(127,1),(138,1)}
       117:{1,2,5,7}:{(104,1),(107,1),(121,1),(125,1),(128,1)}
       118:{3,5,7}:{(105,1),(108,1),(122,1),(126,1),(129,1),(138,1)}
       119:{1,4,7}:{(106,1),(123,1),(127,1),(129,1)}
       120:{2,3,7}:{(107,1),(108,1),(124,1)}
       121:{1,2,5}:{(109,1),(112,1),(130,1),(139,1)}
       122:{3,5}:{(110,1),(113,1),(131,1)}
       123:{1,4}:{(111,1),(131,1)}
       124:{2,3,6}:{(112,1),(113,1),(120,1),(130,1)}
       125:{1,2,6}:{(114,1),(117,1),(132,1)}
       126:{3,6}:{(115,1),(118,1)}
       127:{1,4,6}:{(116,1),(119,1),(133,1),(134,1)}
       128:{2,3,5,7}:{(117,1),(118,1),(120,1),(130,1),(132,1),(135,1),(139,1)}
       129:{3,4,7}:{(118,1),(119,1),(131,1),(133,1),(135,1)}
       130:{2,3,5}:{(121,1),(122,1),(124,1),(136,1)}
       131:{3,4}:{(122,1),(123,1),(136,1)}
       132:{2,3,6}:{(125,1),(126,1),(128,1),(137,1)}
       133:{3,4,6}:{(126,1),(127,1),(129,1),(137,1),(138,1)}
       134:{1,4,5}:{(127,1),(138,1)}
       135:{2,4,7}:{(128,1),(129,1),(136,1),(137,1)}
       136:{2,4}:{(130,1),(131,1)}
       137:{2,4,6}:{(132,1),(133,1),(135,1),(139,1)}
       138:{3,5}:{(133,1),(134,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1233 :   0:{2,3,4,6,7}:{(1,1),(2,1),(13,1),(18,1),(32,1),(34,1),(43,1),(64,1),(76,1),(99,1),(108,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(20,1),(21,1),(30,1),(61,1),(94,1),(112,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(29,1),(80,1),(109,1)}
         3:{2,3,5,6,7}:{(6,1),(8,1),(9,1),(28,1),(29,1),(60,1),(116,1)}
         4:{1,3,6,7}:{(1,1),(10,1),(34,1),(108,1),(124,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(10,1),(11,1),(44,1),(121,1)}
         6:{2,3,5,6}:{(2,1),(11,1),(13,1),(34,1),(37,1)}
         7:{2,4,5,7}:{(2,1),(13,1),(14,1),(76,1),(96,1)}
         8:{1,2,5,6,7}:{(3,1),(11,1),(15,1),(16,1),(44,1),(73,1),(77,1),(103,1)}
         9:{2,4,6,7}:{(3,1),(13,1),(17,1),(18,1),(76,1),(127,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(19,1),(20,1),(22,1),(130,1)}
        11:{1,2,5,6}:{(5,1),(6,1),(19,1),(21,1),(53,1),(80,1)}
        12:{1,2,4,5,7}:{(5,1),(7,1),(20,1),(21,1),(22,1),(25,1),(45,1),(48,1),(52,1),(80,1),(94,1),(110,1)}
        13:{2,4,6}:{(6,1),(7,1),(24,1)}
        14:{3,4,5,7}:{(7,1),(22,1),(24,1),(25,1),(29,1),(58,1),(78,1)}
        15:{1,3,5,6,7}:{(8,1),(19,1),(26,1),(28,1),(55,1),(59,1),(87,1)}
        16:{1,2,4,6,7}:{(8,1),(9,1),(21,1),(26,1),(27,1),(28,1),(30,1),(57,1),(61,1),(94,1),(115,1)}
        17:{2,4,5,7}:{(9,1),(23,1),(29,1),(134,1)}
        18:{3,4,6,7}:{(9,1),(24,1),(28,1),(29,1),(30,1),(58,1),(133,1)}
        19:{1,3,5,6}:{(10,1),(11,1),(31,1),(34,1),(62,1)}
        20:{1,4,7}:{(10,1),(31,1),(32,1),(136,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(13,1),(31,1),(34,1),(38,1),(64,1),(69,1)}
        22:{3,5,7}:{(12,1),(32,1),(34,1),(62,1),(108,1),(122,1)}
        23:{2,4,5,6}:{(13,1),(17,1),(37,1)}
        24:{3,4,6}:{(13,1),(14,1),(34,1),(37,1),(38,1)}
        25:{1,4,5,7}:{(14,1),(35,1),(38,1),(44,1),(75,1),(95,1)}
        26:{1,4,6,7}:{(15,1),(31,1),(39,1),(40,1),(75,1),(101,1)}
        27:{1,2,4,5,7}:{(16,1),(17,1),(33,1),(39,1),(41,1),(44,1),(73,1),(75,1),(76,1),(77,1)}
        28:{3,6,7}:{(16,1),(34,1),(41,1),(108,1),(126,1)}
        29:{3,5,7}:{(17,1),(18,1),(37,1),(44,1),(138,1)}
        30:{1,4,6,7}:{(18,1),(38,1),(42,1),(44,1),(75,1),(137,1)}
        31:{1,4,6}:{(19,1),(20,1),(45,1),(46,1)}
        32:{3,4,7}:{(20,1),(22,1),(46,1),(48,1),(131,1)}
        33:{1,2,4,5,6}:{(21,1),(23,1),(27,1),(45,1),(49,1),(53,1),(54,1),(80,1),(83,1),(84,1),(85,1),(88,1),(110,1),(115,1),(134,1),(139,1)}
        34:{3,6}:{(21,1),(22,1)}
        35:{1,3,5,7}:{(22,1),(25,1),(47,1),(50,1),(52,1),(79,1)}
        36:{2,3,5,7}:{(22,1),(48,1),(51,1),(52,1),(80,1),(82,1),(111,1)}
        37:{3,5,6}:{(23,1),(24,1),(29,1),(53,1)}
        38:{1,4,6}:{(24,1),(25,1),(50,1),(53,1)}
        39:{1,4,5,7}:{(26,1),(45,1),(54,1),(55,1)}
        40:{3,4,6,7}:{(26,1),(28,1),(46,1),(55,1),(57,1),(58,1),(86,1)}
        41:{3,5,7}:{(27,1),(28,1),(49,1),(58,1)}
        42:{1,3,6,7}:{(28,1),(30,1),(50,1),(59,1),(61,1),(132,1)}
        43:{2,3,6,7}:{(28,1),(51,1),(57,1),(60,1),(61,1),(114,1)}
        44:{1,5,7}:{(29,1),(30,1),(53,1),(139,1)}
        45:{1,4,5}:{(31,1),(62,1)}
        46:{3,4,6}:{(31,1),(32,1),(34,1),(62,1),(64,1)}
        47:{1,3,4,7}:{(32,1),(35,1),(63,1),(65,1),(75,1),(108,1)}
        48:{2,4,7}:{(32,1),(36,1),(64,1),(123,1)}
        49:{3,5,6}:{(33,1),(34,1),(41,1),(62,1),(66,1),(122,1),(126,1),(138,1)}
        50:{1,3,6}:{(34,1),(35,1),(38,1),(69,1)}
        51:{2,3,6}:{(34,1),(36,1),(64,1),(69,1)}
        52:{1,2,5,7}:{(35,1),(36,1),(65,1),(69,1),(97,1)}
        53:{1,5,6}:{(37,1),(38,1),(44,1)}
        54:{1,4,5,6}:{(39,1),(70,1),(101,1)}
        55:{3,5,7}:{(39,1),(40,1),(62,1),(70,1),(73,1)}
        56:{1,3,4,6,7}:{(40,1),(42,1),(63,1),(72,1),(74,1),(75,1),(101,1),(108,1),(126,1),(129,1),(137,1)}
        57:{2,4,6,7}:{(40,1),(43,1),(64,1),(73,1),(76,1),(102,1)}
        58:{3,4,7}:{(41,1),(66,1),(75,1),(76,1),(108,1)}
        59:{1,3,5,7}:{(41,1),(42,1),(44,1),(67,1),(75,1),(77,1),(108,1)}
        60:{2,3,5,7}:{(41,1),(43,1),(68,1),(73,1),(76,1),(77,1),(108,1)}
        61:{1,2,6,7}:{(42,1),(43,1),(69,1),(77,1),(125,1)}
        62:{3,5}:{(45,1),(46,1),(80,1)}
        63:{1,3,4,6}:{(46,1),(47,1),(50,1),(79,1),(81,1),(83,1),(113,1),(131,1)}
        64:{2,4,6}:{(46,1),(48,1),(51,1),(80,1)}
        65:{1,2,4,7}:{(47,1),(48,1),(52,1),(81,1),(82,1)}
        66:{3,4,6}:{(49,1),(58,1),(78,1),(83,1),(84,1),(113,1),(131,1)}
        67:{1,3,5,6}:{(49,1),(50,1),(53,1),(59,1),(79,1),(83,1),(85,1),(113,1),(130,1),(132,1),(139,1)}
        68:{2,3,5,6}:{(49,1),(51,1),(60,1),(80,1),(84,1),(85,1),(88,1),(109,1),(111,1),(113,1),(114,1)}
        69:{1,2,6}:{(50,1),(51,1),(52,1)}
        70:{3,5,6}:{(54,1),(55,1),(86,1),(88,1)}
        71:{3,4,5,7}:{(55,1),(58,1),(78,1),(86,1),(89,1),(90,1),(118,1)}
        72:{1,3,5,7}:{(55,1),(56,1),(79,1),(87,1),(89,1),(91,1),(118,1),(139,1)}
        73:{2,5,7}:{(55,1),(57,1),(80,1),(88,1)}
        74:{1,2,4,6,7}:{(56,1),(57,1),(61,1),(81,1),(91,1),(92,1),(94,1),(115,1),(119,1)}
        75:{1,4,7}:{(58,1),(59,1),(83,1)}
        76:{2,4,7}:{(58,1),(60,1),(84,1)}
        77:{1,2,5,7}:{(59,1),(60,1),(61,1),(85,1),(94,1)}
        78:{3,4,5}:{(62,1),(66,1),(95,1),(96,1),(122,1),(138,1)}
        79:{1,3,5}:{(62,1),(63,1),(95,1),(97,1),(122,1)}
        80:{2,5}:{(62,1),(64,1)}
        81:{1,2,4,6}:{(63,1),(64,1),(65,1),(69,1),(97,1),(98,1),(123,1)}
        82:{2,3,7}:{(65,1),(98,1),(108,1)}
        83:{1,4,6}:{(66,1),(67,1),(75,1),(95,1),(136,1)}
        84:{2,4,6}:{(66,1),(68,1),(76,1),(96,1),(123,1)}
        85:{1,2,5,6}:{(67,1),(68,1),(69,1),(77,1),(97,1),(100,1),(121,1),(125,1)}
        86:{3,4,6}:{(70,1),(71,1),(101,1),(102,1),(126,1)}
        87:{1,3,5,6}:{(70,1),(72,1),(101,1),(103,1),(126,1)}
        88:{2,5,6}:{(70,1),(73,1),(102,1)}
        89:{1,4,5,7}:{(71,1),(72,1),(75,1),(95,1),(101,1)}
        90:{2,4,5,7}:{(71,1),(73,1),(76,1),(96,1),(102,1),(104,1)}
        91:{1,2,5,7}:{(72,1),(73,1),(74,1),(97,1),(103,1),(106,1)}
        92:{2,3,6,7}:{(74,1),(98,1),(106,1),(108,1),(126,1)}
        93:{2,3,4,7}:{(76,1),(99,1),(104,1),(107,1),(108,1),(129,1)}
        94:{1,2,4,7}:{(75,1),(76,1),(77,1),(100,1),(108,1)}
        95:{1,4,5}:{(78,1),(79,1),(83,1),(139,1)}
        96:{2,4,5}:{(78,1),(80,1),(84,1),(109,1)}
        97:{1,2,5}:{(79,1),(80,1),(81,1),(111,1)}
        98:{2,3,6}:{(81,1),(82,1),(111,1),(113,1)}
        99:{2,3,4,6}:{(84,1),(93,1),(109,1),(112,1),(113,1),(114,1),(131,1),(133,1)}
       100:{1,2,4,6}:{(83,1),(84,1),(85,1),(94,1),(110,1),(113,1)}
       101:{1,4,6}:{(86,1),(87,1),(89,1)}
       102:{2,4,6}:{(86,1),(88,1),(90,1),(114,1)}
       103:{1,2,5,6}:{(87,1),(88,1),(91,1),(115,1),(116,1),(139,1)}
       104:{2,3,5,7}:{(90,1),(93,1),(109,1),(114,1),(117,1),(118,1)}
       105:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(110,1),(115,1),(117,1),(118,1),(119,1),(134,1),(135,1),(139,1)}
       106:{2,3,5,7}:{(91,1),(92,1),(111,1),(116,1),(118,1),(119,1)}
       107:{1,2,4,7}:{(93,1),(112,1),(117,1),(120,1),(135,1)}
       108:{3,7}:{(94,1),(113,1)}
       109:{2,3,5}:{(96,1),(99,1),(121,1),(122,1),(138,1)}
       110:{1,2,4,5}:{(95,1),(96,1),(97,1),(100,1),(121,1),(122,1),(123,1),(136,1)}
       111:{2,3,5}:{(97,1),(98,1),(122,1),(123,1)}
       112:{1,2,4,6}:{(99,1),(107,1),(121,1),(124,1),(125,1),(136,1),(137,1)}
       113:{3,6}:{(100,1),(108,1),(122,1)}
       114:{2,3,6}:{(102,1),(104,1),(125,1),(126,1)}
       115:{1,2,4,6}:{(101,1),(102,1),(103,1),(105,1),(125,1),(126,1),(127,1),(137,1)}
       116:{2,3,5,6}:{(103,1),(106,1),(126,1),(127,1),(138,1)}
       117:{1,2,5,7}:{(104,1),(107,1),(121,1),(125,1),(128,1)}
       118:{3,5,7}:{(105,1),(108,1),(122,1),(126,1),(129,1),(138,1)}
       119:{2,4,7}:{(106,1),(123,1),(127,1),(129,1)}
       120:{1,3,7}:{(107,1),(108,1),(124,1)}
       121:{1,2,5}:{(109,1),(112,1),(130,1),(139,1)}
       122:{3,5}:{(110,1),(113,1),(131,1)}
       123:{2,4}:{(111,1),(131,1)}
       124:{1,3,6}:{(112,1),(113,1),(120,1),(130,1)}
       125:{1,2,6}:{(114,1),(117,1),(132,1)}
       126:{3,6}:{(115,1),(118,1)}
       127:{2,4,6}:{(116,1),(119,1),(133,1),(134,1)}
       128:{1,3,5,7}:{(117,1),(118,1),(120,1),(130,1),(132,1),(135,1),(139,1)}
       129:{3,4,7}:{(118,1),(119,1),(131,1),(133,1),(135,1)}
       130:{1,3,5}:{(121,1),(122,1),(124,1),(136,1)}
       131:{3,4}:{(122,1),(123,1),(136,1)}
       132:{1,3,6}:{(125,1),(126,1),(128,1),(137,1)}
       133:{3,4,6}:{(126,1),(127,1),(129,1),(137,1),(138,1)}
       134:{2,4,5}:{(127,1),(138,1)}
       135:{1,4,7}:{(128,1),(129,1),(136,1),(137,1)}
       136:{1,4}:{(130,1),(131,1)}
       137:{1,4,6}:{(132,1),(133,1),(135,1),(139,1)}
       138:{3,5}:{(133,1),(134,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

1234 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(75,1),(76,1),(78,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(14,1),(39,1),(40,1),(41,1),(44,1),(46,1),(78,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(24,1),(82,1),(83,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(57,1),(58,1),(62,1),(64,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(49,1),(50,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(15,1),(33,1),(41,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(12,1),(94,1),(95,1)}
         7:{1,2,4,5}:{(4,1),(14,1),(35,1),(36,1),(44,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(15,1),(67,1),(68,1)}
         9:{3,4,6}:{(4,1),(14,1),(15,1),(41,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,4,5,6}:{(7,1),(22,1),(23,1),(24,1),(49,1),(50,1),(51,1),(59,1),(86,1),(87,1)}
        12:{1,2,5,6}:{(6,1),(18,1),(24,1),(86,1),(87,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(24,1),(25,1),(53,1),(54,1),(62,1)}
        14:{3,5}:{(7,1),(9,1)}
        15:{3,4,7}:{(8,1),(9,1),(25,1)}
        16:{1,3,4,6}:{(9,1),(26,1),(28,1),(30,1),(49,1),(60,1),(85,1),(90,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(29,1),(30,1),(50,1),(61,1),(85,1),(90,1),(105,1)}
        18:{3,5,6}:{(10,1),(12,1),(33,1),(41,1)}
        19:{4,5,7}:{(10,1),(33,1)}
        20:{3,4,5}:{(14,1),(32,1),(35,1),(36,1),(74,1)}
        21:{1,2,5,6,7}:{(12,1),(31,1),(37,1),(94,1),(95,1)}
        22:{1,2,4,5,7}:{(11,1),(37,1),(38,1),(65,1),(67,1),(68,1),(77,1),(94,1),(95,1)}
        23:{3,5,6}:{(11,1),(14,1),(32,1),(38,1),(41,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(33,1),(41,1),(71,1),(72,1),(78,1)}
        25:{3,5,7}:{(13,1),(14,1),(15,1),(41,1)}
        26:{1,3,5}:{(14,1),(16,1),(35,1),(44,1),(74,1),(109,1)}
        27:{2,3,5}:{(14,1),(17,1),(36,1),(44,1),(74,1),(109,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(42,1),(45,1),(67,1),(97,1),(100,1)}
        29:{2,3,4,7}:{(15,1),(17,1),(43,1),(45,1),(68,1),(97,1),(100,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(44,1),(45,1),(46,1),(78,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(47,1),(56,1),(81,1)}
        32:{3,4,6}:{(20,1),(23,1),(48,1),(49,1),(50,1),(85,1)}
        33:{4,6}:{(18,1),(19,1)}
        34:{3,4,5,7}:{(19,1),(20,1),(25,1),(48,1),(52,1),(53,1),(54,1),(81,1),(89,1),(110,1),(111,1)}
        35:{1,4,5}:{(20,1),(26,1),(49,1),(111,1)}
        36:{2,4,5}:{(20,1),(27,1),(50,1),(111,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(24,1),(47,1),(56,1),(82,1),(83,1),(91,1)}
        38:{3,5,7}:{(22,1),(23,1),(48,1),(56,1)}
        39:{1,3,5,6}:{(23,1),(26,1),(49,1),(57,1),(59,1),(60,1),(85,1),(86,1),(104,1)}
        40:{2,3,5,6}:{(23,1),(27,1),(50,1),(58,1),(59,1),(61,1),(85,1),(87,1),(104,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(28,1),(53,1),(60,1),(62,1),(89,1)}
        43:{2,3,5,7}:{(25,1),(27,1),(29,1),(54,1),(61,1),(62,1),(89,1)}
        44:{1,2,5}:{(26,1),(27,1),(30,1)}
        45:{1,2,4,7}:{(28,1),(29,1),(30,1),(62,1),(64,1)}
        46:{1,2,3,6}:{(30,1),(63,1),(64,1),(85,1)}
        47:{4,6,7}:{(31,1),(33,1),(65,1)}
        48:{3,4,7}:{(32,1),(38,1),(67,1),(68,1),(97,1)}
        49:{1,4,6}:{(32,1),(35,1),(39,1),(67,1),(108,1)}
        50:{2,4,6}:{(32,1),(36,1),(40,1),(68,1),(108,1)}
        51:{4,5,6}:{(33,1),(65,1),(70,1),(108,1)}
        52:{3,4,6}:{(33,1),(34,1),(41,1),(70,1),(71,1),(72,1),(99,1),(108,1)}
        53:{1,4,5,7}:{(34,1),(35,1),(42,1),(67,1),(71,1),(94,1)}
        54:{2,4,5,7}:{(34,1),(36,1),(43,1),(68,1),(72,1),(95,1)}
        55:{1,2,4,5}:{(35,1),(36,1),(44,1),(69,1),(74,1),(80,1)}
        56:{3,6,7}:{(37,1),(38,1),(41,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(67,1),(75,1),(77,1),(94,1),(97,1),(107,1)}
        58:{2,3,5,7}:{(38,1),(40,1),(68,1),(76,1),(77,1),(95,1),(97,1),(107,1)}
        59:{1,2,5,6}:{(39,1),(40,1),(44,1),(69,1),(77,1),(78,1)}
        60:{1,3,6}:{(41,1),(42,1),(71,1),(78,1),(99,1)}
        61:{2,3,6}:{(41,1),(43,1),(72,1),(78,1),(99,1)}
        62:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(78,1)}
        63:{1,2,3,5}:{(44,1),(46,1),(74,1),(80,1)}
        64:{1,2,3,7}:{(45,1),(46,1),(97,1)}
        65:{4,5,7}:{(47,1),(51,1),(81,1),(110,1)}
        66:{3,4,6,7}:{(47,1),(48,1),(52,1),(56,1),(81,1),(82,1),(83,1),(103,1),(110,1)}
        67:{1,4,7}:{(48,1),(49,1),(57,1),(110,1)}
        68:{2,4,7}:{(48,1),(50,1),(58,1),(110,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(55,1),(59,1),(84,1),(85,1)}
        70:{3,5,6}:{(51,1),(52,1),(81,1),(86,1),(87,1)}
        71:{1,4,6}:{(52,1),(53,1),(60,1),(86,1)}
        72:{2,4,6}:{(52,1),(54,1),(61,1),(87,1)}
        73:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(62,1),(84,1),(88,1),(89,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        74:{3,5}:{(55,1),(85,1),(90,1)}
        75:{1,3,6,7}:{(56,1),(57,1),(60,1),(82,1),(91,1),(103,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(61,1),(83,1),(91,1),(103,1)}
        77:{1,2,5,7}:{(57,1),(58,1),(59,1),(84,1),(91,1)}
        78:{1,2,6}:{(60,1),(61,1),(62,1)}
        79:{1,2,3,5,7}:{(62,1),(63,1),(64,1),(89,1),(92,1),(93,1),(106,1)}
        80:{1,2,4}:{(63,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(70,1),(94,1),(95,1)}
        82:{1,4,6,7}:{(66,1),(67,1),(71,1),(75,1),(94,1)}
        83:{2,4,6,7}:{(66,1),(68,1),(72,1),(76,1),(95,1)}
        84:{1,2,4,7}:{(67,1),(68,1),(69,1),(77,1),(97,1)}
        85:{3,6}:{(69,1),(74,1),(97,1)}
        86:{1,5,6}:{(70,1),(71,1),(94,1)}
        87:{2,5,6}:{(70,1),(72,1),(95,1)}
        88:{1,2,4,6}:{(71,1),(72,1),(73,1),(78,1),(98,1),(99,1),(108,1)}
        89:{3,5,7}:{(73,1),(74,1),(97,1),(99,1),(100,1),(109,1)}
        90:{3,4}:{(74,1),(80,1)}
        91:{1,2,6,7}:{(75,1),(76,1),(77,1),(78,1)}
        92:{1,2,3,6}:{(78,1),(79,1),(99,1),(101,1)}
        93:{1,2,4,7}:{(79,1),(80,1),(100,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(86,1)}
        95:{2,5,7}:{(81,1),(83,1),(87,1)}
        96:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(88,1),(91,1),(102,1),(103,1),(110,1)}
        97:{3,7}:{(84,1),(85,1)}
        98:{1,2,5,6}:{(86,1),(87,1),(88,1),(102,1),(104,1),(106,1)}
        99:{3,6}:{(88,1),(89,1)}
       100:{3,4,7}:{(89,1),(90,1),(93,1),(105,1),(110,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(98,1),(107,1)}
       103:{3,6,7}:{(96,1),(97,1),(99,1),(107,1)}
       104:{3,5,6}:{(98,1),(99,1),(107,1),(108,1),(109,1)}
       105:{3,4,6}:{(99,1),(100,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(104,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1235 :   0:{1,3,5,6,7}:{(2,1),(3,1),(13,1),(14,1),(36,1),(42,1),(80,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(13,1),(17,1),(40,1),(43,1),(77,1)}
         2:{1,2,5,6,7}:{(0,1),(1,1),(5,1),(28,1),(31,1),(58,1),(61,1),(64,1)}
         3:{1,4,6,7}:{(0,1),(6,1),(7,1),(56,1),(62,1),(100,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(9,1),(60,1),(63,1),(97,1)}
         5:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(12,1),(13,1),(16,1),(18,1),(44,1),(76,1),(79,1),(83,1)}
         6:{1,4,5,7}:{(3,1),(10,1),(14,1),(119,1)}
         7:{3,4,6,7}:{(3,1),(13,1),(14,1),(16,1),(35,1),(41,1),(118,1)}
         8:{2,4,5,7}:{(4,1),(11,1),(17,1),(116,1)}
         9:{3,4,6,7}:{(4,1),(13,1),(17,1),(18,1),(38,1),(41,1),(115,1)}
        10:{1,4,5,6}:{(6,1),(21,1),(56,1)}
        11:{2,4,5,6}:{(8,1),(22,1),(60,1)}
        12:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(20,1),(23,1),(28,1),(31,1),(62,1),(63,1),(64,1)}
        13:{3,6,7}:{(5,1),(23,1),(96,1),(99,1),(103,1)}
        14:{3,5,7}:{(6,1),(7,1),(21,1),(28,1),(132,1)}
        15:{1,3,4,6,7}:{(7,1),(24,1),(27,1),(29,1),(56,1),(62,1),(92,1),(96,1),(103,1),(105,1),(129,1)}
        16:{2,4,6,7}:{(7,1),(25,1),(28,1),(57,1),(63,1),(131,1)}
        17:{3,5,7}:{(8,1),(9,1),(22,1),(31,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(24,1),(31,1),(59,1),(62,1),(129,1)}
        19:{2,3,4,6,7}:{(9,1),(25,1),(32,1),(33,1),(60,1),(63,1),(93,1),(99,1),(103,1),(107,1),(131,1)}
        20:{1,2,4,5,6}:{(10,1),(11,1),(12,1),(34,1),(37,1),(39,1),(72,1),(73,1),(74,1),(76,1),(79,1),(110,1),(116,1),(119,1),(136,1),(137,1)}
        21:{3,5,6}:{(10,1),(14,1),(35,1),(37,1)}
        22:{3,5,6}:{(11,1),(17,1),(38,1),(39,1)}
        23:{3,5,7}:{(12,1),(13,1),(34,1),(41,1)}
        24:{1,3,6,7}:{(13,1),(18,1),(42,1),(44,1),(78,1),(114,1)}
        25:{2,3,6,7}:{(13,1),(16,1),(43,1),(44,1),(75,1),(117,1)}
        26:{3,4,5,7}:{(14,1),(35,1),(41,1),(45,1),(46,1),(71,1),(85,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(36,1),(45,1),(47,1),(85,1),(108,1),(136,1)}
        28:{2,5,7}:{(14,1),(16,1),(37,1),(137,1)}
        29:{1,2,4,6,7}:{(15,1),(16,1),(44,1),(47,1),(48,1),(76,1),(83,1),(86,1),(111,1)}
        30:{3,4,5,7}:{(17,1),(38,1),(41,1),(49,1),(50,1),(71,1),(88,1)}
        31:{1,5,7}:{(17,1),(18,1),(39,1),(136,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(40,1),(50,1),(51,1),(88,1),(109,1),(137,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(44,1),(51,1),(52,1),(79,1),(83,1),(89,1),(112,1)}
        34:{3,5,6}:{(20,1),(23,1),(53,1),(96,1),(99,1),(126,1),(130,1),(132,1)}
        35:{3,4,6}:{(21,1),(26,1),(56,1),(57,1),(96,1)}
        36:{1,3,5,6}:{(21,1),(27,1),(56,1),(58,1),(96,1)}
        37:{2,5,6}:{(21,1),(28,1),(57,1)}
        38:{3,4,6}:{(22,1),(30,1),(59,1),(60,1),(99,1)}
        39:{1,5,6}:{(22,1),(31,1),(59,1)}
        40:{2,3,5,6}:{(22,1),(32,1),(60,1),(61,1),(99,1)}
        41:{3,4,7}:{(23,1),(53,1),(62,1),(63,1),(103,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(31,1),(54,1),(62,1),(64,1),(103,1)}
        43:{2,3,5,7}:{(23,1),(25,1),(28,1),(55,1),(63,1),(64,1),(103,1)}
        44:{1,2,6,7}:{(24,1),(25,1),(64,1),(95,1),(98,1)}
        45:{1,4,5,7}:{(26,1),(27,1),(56,1),(62,1),(90,1)}
        46:{2,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(65,1),(91,1)}
        47:{1,2,5,7}:{(27,1),(28,1),(29,1),(58,1),(67,1),(124,1)}
        48:{2,3,6,7}:{(29,1),(67,1),(96,1),(103,1),(127,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(59,1),(62,1),(68,1),(90,1)}
        50:{2,4,5,7}:{(30,1),(32,1),(60,1),(63,1),(91,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(61,1),(70,1),(125,1)}
        52:{1,3,6,7}:{(33,1),(70,1),(99,1),(103,1),(128,1)}
        53:{3,4,6}:{(34,1),(41,1),(71,1),(72,1),(73,1),(113,1),(135,1)}
        54:{1,3,5,6}:{(34,1),(39,1),(42,1),(72,1),(74,1),(78,1),(108,1),(113,1),(114,1),(134,1),(136,1)}
        55:{2,3,5,6}:{(34,1),(37,1),(43,1),(73,1),(74,1),(75,1),(109,1),(113,1),(117,1),(133,1),(137,1)}
        56:{1,4,6}:{(35,1),(36,1),(45,1)}
        57:{2,4,6}:{(35,1),(37,1),(46,1),(75,1)}
        58:{1,2,5,6}:{(36,1),(37,1),(47,1),(76,1),(77,1),(136,1)}
        59:{1,4,6}:{(38,1),(39,1),(49,1),(78,1)}
        60:{2,4,6}:{(38,1),(40,1),(50,1)}
        61:{1,2,5,6}:{(39,1),(40,1),(51,1),(79,1),(80,1),(137,1)}
        62:{1,4,7}:{(41,1),(42,1),(72,1)}
        63:{2,4,7}:{(41,1),(43,1),(73,1)}
        64:{1,2,5,7}:{(42,1),(43,1),(44,1),(74,1),(83,1)}
        65:{2,3,5,7}:{(46,1),(75,1),(82,1),(84,1),(85,1),(109,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(76,1),(83,1),(84,1),(85,1),(86,1),(110,1),(116,1),(122,1),(136,1)}
        67:{2,3,5,7}:{(47,1),(48,1),(77,1),(85,1),(86,1),(133,1)}
        68:{1,3,5,7}:{(49,1),(78,1),(81,1),(87,1),(88,1),(108,1)}
        69:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(79,1),(83,1),(87,1),(88,1),(89,1),(110,1),(119,1),(123,1),(137,1)}
        70:{1,3,5,7}:{(51,1),(52,1),(80,1),(88,1),(89,1),(134,1)}
        71:{3,4,5}:{(53,1),(90,1),(91,1),(126,1),(130,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(62,1),(90,1),(139,1)}
        73:{2,4,6}:{(53,1),(55,1),(63,1),(91,1),(138,1)}
        74:{1,2,5,6}:{(54,1),(55,1),(64,1),(94,1),(95,1),(98,1),(124,1),(125,1)}
        75:{2,3,6}:{(57,1),(65,1),(95,1),(96,1)}
        76:{1,2,4,6}:{(56,1),(57,1),(58,1),(66,1),(95,1),(96,1),(97,1),(129,1)}
        77:{2,3,5,6}:{(58,1),(67,1),(96,1),(97,1),(130,1)}
        78:{1,3,6}:{(59,1),(68,1),(98,1),(99,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(69,1),(98,1),(99,1),(100,1),(131,1)}
        80:{1,3,5,6}:{(61,1),(70,1),(99,1),(100,1),(132,1)}
        81:{1,3,4,7}:{(62,1),(68,1),(92,1),(101,1),(103,1),(107,1)}
        82:{2,3,4,7}:{(63,1),(65,1),(93,1),(102,1),(103,1),(105,1)}
        83:{1,2,4,7}:{(62,1),(63,1),(64,1),(94,1),(103,1)}
        84:{1,2,5,7}:{(65,1),(95,1),(102,1),(104,1),(125,1)}
        85:{3,5,7}:{(66,1),(96,1),(103,1),(105,1),(126,1),(130,1)}
        86:{2,4,7}:{(67,1),(97,1),(105,1),(138,1)}
        87:{1,2,5,7}:{(68,1),(98,1),(101,1),(106,1),(124,1)}
        88:{3,5,7}:{(69,1),(99,1),(103,1),(107,1),(126,1),(132,1)}
        89:{1,4,7}:{(70,1),(100,1),(107,1),(139,1)}
        90:{1,4,5}:{(71,1),(72,1),(108,1),(136,1)}
        91:{2,4,5}:{(71,1),(73,1),(109,1),(137,1)}
        92:{1,3,4,6}:{(72,1),(78,1),(81,1),(108,1),(111,1),(113,1),(118,1),(135,1)}
        93:{2,3,4,6}:{(73,1),(75,1),(82,1),(109,1),(112,1),(113,1),(115,1),(135,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(83,1),(110,1),(113,1)}
        95:{1,2,6}:{(75,1),(84,1),(114,1)}
        96:{3,6}:{(76,1),(85,1)}
        97:{2,4,6}:{(77,1),(86,1),(115,1),(116,1)}
        98:{1,2,6}:{(78,1),(87,1),(117,1)}
        99:{3,6}:{(79,1),(88,1)}
       100:{1,4,6}:{(80,1),(89,1),(118,1),(119,1)}
       101:{1,2,4,7}:{(81,1),(87,1),(111,1),(120,1),(123,1)}
       102:{1,2,4,7}:{(82,1),(84,1),(112,1),(121,1),(122,1)}
       103:{3,7}:{(83,1),(113,1)}
       104:{1,3,5,7}:{(84,1),(85,1),(114,1),(121,1),(122,1),(134,1),(136,1)}
       105:{3,4,7}:{(85,1),(86,1),(115,1),(122,1),(135,1)}
       106:{2,3,5,7}:{(87,1),(88,1),(117,1),(120,1),(123,1),(133,1),(137,1)}
       107:{3,4,7}:{(88,1),(89,1),(118,1),(123,1),(135,1)}
       108:{1,3,5}:{(90,1),(92,1),(124,1),(126,1),(132,1)}
       109:{2,3,5}:{(91,1),(93,1),(125,1),(126,1),(130,1)}
       110:{1,2,4,5}:{(90,1),(91,1),(94,1),(124,1),(125,1),(126,1),(138,1),(139,1)}
       111:{1,2,4,6}:{(92,1),(98,1),(101,1),(124,1),(127,1),(131,1),(138,1)}
       112:{1,2,4,6}:{(93,1),(95,1),(102,1),(125,1),(128,1),(129,1),(139,1)}
       113:{3,6}:{(94,1),(103,1),(126,1)}
       114:{1,3,6}:{(95,1),(96,1),(104,1),(129,1)}
       115:{3,4,6}:{(96,1),(97,1),(105,1),(129,1),(130,1)}
       116:{2,4,5}:{(97,1),(130,1)}
       117:{2,3,6}:{(98,1),(99,1),(106,1),(131,1)}
       118:{3,4,6}:{(99,1),(100,1),(107,1),(131,1),(132,1)}
       119:{1,4,5}:{(100,1),(132,1)}
       120:{2,3,7}:{(101,1),(103,1),(127,1)}
       121:{1,3,7}:{(102,1),(103,1),(128,1)}
       122:{1,4,7}:{(104,1),(105,1),(129,1),(139,1)}
       123:{2,4,7}:{(106,1),(107,1),(131,1),(138,1)}
       124:{1,2,5}:{(108,1),(111,1),(133,1),(137,1)}
       125:{1,2,5}:{(109,1),(112,1),(134,1),(136,1)}
       126:{3,5}:{(110,1),(113,1),(135,1)}
       127:{2,3,6}:{(111,1),(113,1),(120,1),(133,1)}
       128:{1,3,6}:{(112,1),(113,1),(121,1),(134,1)}
       129:{1,4,6}:{(114,1),(115,1),(122,1),(136,1)}
       130:{3,5}:{(115,1),(116,1),(136,1)}
       131:{2,4,6}:{(117,1),(118,1),(123,1),(137,1)}
       132:{3,5}:{(118,1),(119,1),(137,1)}
       133:{2,3,5}:{(124,1),(126,1),(127,1),(138,1)}
       134:{1,3,5}:{(125,1),(126,1),(128,1),(139,1)}
       135:{3,4}:{(126,1),(138,1),(139,1)}
       136:{1,5}:{(129,1),(130,1)}
       137:{2,5}:{(131,1),(132,1)}
       138:{2,4}:{(133,1),(135,1)}
       139:{1,4}:{(134,1),(135,1)}

1236 :   0:{1,2,3,5,6}:{(1,1),(2,1),(7,1),(10,1),(35,1),(37,1),(39,1),(42,1),(45,1),(78,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(50,1),(52,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(18,1),(24,1),(28,1),(57,1),(58,1),(60,1)}
         3:{3,4,6}:{(1,1),(10,1),(11,1),(42,1)}
         4:{1,2,4,5}:{(1,1),(10,1),(31,1),(32,1),(35,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(71,1),(73,1)}
         6:{1,2,3,6,7}:{(2,1),(14,1),(42,1),(78,1),(79,1),(80,1)}
         7:{1,2,3,6}:{(15,1),(17,1),(18,1),(83,1)}
         8:{2,3,4,6}:{(3,1),(17,1),(19,1),(20,1),(46,1),(50,1),(59,1),(83,1),(85,1)}
         9:{1,3,4,6}:{(3,1),(17,1),(21,1),(22,1),(46,1),(52,1),(61,1),(83,1),(85,1)}
        10:{3,5}:{(3,1),(4,1)}
        11:{3,4,7}:{(3,1),(5,1),(24,1)}
        12:{1,2,4,5,6}:{(4,1),(23,1),(26,1),(27,1),(50,1),(52,1),(56,1),(90,1),(92,1),(94,1)}
        13:{1,2,4,5,7}:{(4,1),(5,1),(24,1),(27,1),(28,1),(51,1),(53,1),(57,1),(64,1)}
        14:{1,2,4,6,7}:{(5,1),(6,1),(25,1),(27,1),(28,1),(89,1),(91,1)}
        15:{1,2,3,5}:{(7,1),(29,1),(35,1),(66,1)}
        16:{3,4,5}:{(10,1),(31,1),(32,1),(33,1),(66,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(9,1),(29,1),(35,1),(36,1),(78,1)}
        18:{1,2,3,7}:{(7,1),(36,1),(97,1)}
        19:{2,3,5}:{(8,1),(10,1),(31,1),(35,1),(66,1),(99,1)}
        20:{2,3,4,7}:{(8,1),(11,1),(36,1),(38,1),(67,1),(71,1),(97,1)}
        21:{1,3,5}:{(9,1),(10,1),(32,1),(35,1),(66,1),(99,1)}
        22:{1,3,4,7}:{(9,1),(11,1),(36,1),(40,1),(67,1),(73,1),(97,1)}
        23:{3,5,6}:{(10,1),(12,1),(33,1),(41,1),(42,1)}
        24:{3,5,7}:{(10,1),(11,1),(13,1),(42,1)}
        25:{3,4,6,7}:{(11,1),(14,1),(42,1),(43,1),(82,1)}
        26:{1,2,4,5,7}:{(12,1),(41,1),(44,1),(71,1),(73,1),(77,1),(102,1),(103,1),(104,1)}
        27:{1,2,4,6}:{(13,1),(42,1),(45,1),(72,1),(74,1),(78,1),(82,1)}
        28:{1,2,5,7}:{(14,1),(43,1),(45,1),(102,1),(103,1)}
        29:{1,2,4}:{(15,1),(46,1)}
        30:{1,2,3,5,7}:{(15,1),(18,1),(48,1),(49,1),(57,1),(84,1),(88,1)}
        31:{2,4,5}:{(16,1),(19,1),(50,1),(107,1)}
        32:{1,4,5}:{(16,1),(21,1),(52,1),(107,1)}
        33:{3,4,6}:{(16,1),(23,1),(50,1),(52,1),(54,1),(83,1)}
        34:{3,4,5,7}:{(16,1),(24,1),(51,1),(53,1),(54,1),(55,1),(64,1),(84,1),(93,1),(107,1),(111,1)}
        35:{1,2,5}:{(17,1),(19,1),(21,1)}
        36:{1,2,4,7}:{(17,1),(18,1),(20,1),(22,1),(57,1)}
        37:{2,3,5,6}:{(19,1),(23,1),(50,1),(56,1),(58,1),(59,1),(83,1),(90,1),(106,1)}
        38:{2,3,5,7}:{(19,1),(20,1),(24,1),(51,1),(57,1),(59,1),(84,1)}
        39:{1,3,5,6}:{(21,1),(23,1),(52,1),(56,1),(60,1),(61,1),(83,1),(92,1),(106,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(24,1),(53,1),(57,1),(61,1),(84,1)}
        41:{3,5,7}:{(23,1),(26,1),(54,1),(62,1)}
        42:{3,6}:{(24,1),(27,1)}
        43:{3,5,7}:{(25,1),(28,1),(63,1),(64,1)}
        44:{1,2,4,6,7}:{(26,1),(27,1),(62,1),(65,1),(89,1),(91,1),(95,1),(96,1)}
        45:{1,2,5,6}:{(27,1),(28,1),(63,1),(90,1),(92,1)}
        46:{3,4}:{(29,1),(66,1)}
        47:{1,2,4,5}:{(29,1),(31,1),(32,1),(35,1),(66,1),(68,1)}
        48:{1,2,4,7}:{(29,1),(30,1),(67,1),(70,1)}
        49:{1,2,3,6}:{(30,1),(70,1),(78,1),(98,1)}
        50:{2,4,6}:{(31,1),(33,1),(37,1),(71,1),(110,1)}
        51:{2,4,5,7}:{(31,1),(34,1),(38,1),(71,1),(72,1),(102,1)}
        52:{1,4,6}:{(32,1),(33,1),(39,1),(73,1),(110,1)}
        53:{1,4,5,7}:{(32,1),(34,1),(40,1),(73,1),(74,1),(103,1)}
        54:{3,4,7}:{(33,1),(41,1),(71,1),(73,1),(97,1)}
        55:{3,4,6}:{(34,1),(42,1),(72,1),(74,1),(76,1),(82,1),(98,1),(110,1)}
        56:{1,2,5,6}:{(35,1),(37,1),(39,1),(68,1),(77,1),(78,1)}
        57:{1,2,5,7}:{(35,1),(36,1),(38,1),(40,1),(78,1)}
        58:{2,3,5,7}:{(37,1),(41,1),(71,1),(77,1),(79,1),(97,1),(102,1),(109,1)}
        59:{2,3,6}:{(38,1),(42,1),(72,1),(78,1),(98,1)}
        60:{1,3,5,7}:{(39,1),(41,1),(73,1),(77,1),(80,1),(97,1),(103,1),(109,1)}
        61:{1,3,6}:{(40,1),(42,1),(74,1),(78,1),(98,1)}
        62:{3,6,7}:{(41,1),(42,1),(44,1)}
        63:{3,5,6}:{(42,1),(43,1),(45,1),(82,1)}
        64:{4,5,7}:{(43,1),(82,1)}
        65:{1,2,5,6,7}:{(44,1),(45,1),(81,1),(102,1),(103,1)}
        66:{3,5}:{(46,1),(47,1),(83,1)}
        67:{3,4,7}:{(46,1),(48,1),(84,1),(85,1),(111,1)}
        68:{1,2,4,6}:{(47,1),(50,1),(52,1),(56,1),(83,1),(86,1)}
        69:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(53,1),(57,1),(84,1),(86,1),(87,1),(88,1),(107,1),(108,1),(111,1)}
        70:{1,2,4,6}:{(48,1),(49,1),(85,1),(88,1)}
        71:{2,4,7}:{(50,1),(54,1),(58,1),(111,1)}
        72:{2,4,6}:{(51,1),(55,1),(59,1),(90,1)}
        73:{1,4,7}:{(52,1),(54,1),(60,1),(111,1)}
        74:{1,4,6}:{(53,1),(55,1),(61,1),(92,1)}
        75:{3,4,6,7}:{(54,1),(55,1),(62,1),(89,1),(91,1),(93,1),(96,1),(105,1),(111,1)}
        76:{3,5,6}:{(55,1),(90,1),(92,1),(93,1),(94,1)}
        77:{1,2,5,7}:{(56,1),(58,1),(60,1),(86,1),(95,1)}
        78:{1,2,6}:{(57,1),(59,1),(61,1)}
        79:{2,3,6,7}:{(58,1),(59,1),(62,1),(89,1),(95,1),(105,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(62,1),(91,1),(95,1),(105,1)}
        81:{3,5,6,7}:{(62,1),(63,1),(65,1),(93,1),(96,1)}
        82:{4,6}:{(63,1),(64,1)}
        83:{3,6}:{(66,1),(68,1),(97,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(97,1),(98,1),(99,1)}
        85:{3,4,6}:{(67,1),(70,1),(98,1),(99,1),(110,1)}
        86:{1,2,4,7}:{(68,1),(71,1),(73,1),(77,1),(97,1)}
        87:{1,2,4,6}:{(69,1),(72,1),(74,1),(78,1),(98,1),(101,1),(110,1)}
        88:{1,2,5}:{(70,1),(99,1)}
        89:{2,4,6,7}:{(71,1),(72,1),(75,1),(79,1),(102,1)}
        90:{2,5,6}:{(72,1),(76,1),(102,1)}
        91:{1,4,6,7}:{(73,1),(74,1),(75,1),(80,1),(103,1)}
        92:{1,5,6}:{(74,1),(76,1),(103,1)}
        93:{3,5,7}:{(75,1),(76,1),(102,1),(103,1),(104,1)}
        94:{4,5,6}:{(76,1),(82,1),(104,1),(110,1)}
        95:{1,2,6,7}:{(77,1),(78,1),(79,1),(80,1)}
        96:{4,6,7}:{(81,1),(82,1),(104,1)}
        97:{3,7}:{(83,1),(86,1)}
        98:{3,6}:{(84,1),(87,1)}
        99:{3,5}:{(85,1),(88,1),(107,1)}
       100:{1,2,4,6,7}:{(86,1),(87,1),(89,1),(91,1),(95,1),(105,1),(108,1),(111,1)}
       101:{1,2,5,6}:{(87,1),(88,1),(90,1),(92,1),(106,1),(108,1)}
       102:{2,5,7}:{(89,1),(90,1),(93,1)}
       103:{1,5,7}:{(91,1),(92,1),(93,1)}
       104:{4,5,7}:{(93,1),(94,1),(96,1),(111,1)}
       105:{3,6,7}:{(97,1),(98,1),(100,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(101,1),(109,1),(110,1)}
       107:{4,5}:{(99,1),(110,1)}
       108:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(109,1)}
       109:{3,5,7}:{(105,1),(106,1),(108,1),(111,1)}
       110:{4,6}:{(106,1),(107,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1237 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(20,1),(51,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(32,1),(66,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(46,1),(81,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(18,1),(23,1),(45,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(19,1),(23,1),(44,1),(83,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(61,1),(101,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(60,1),(100,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(30,1),(31,1),(103,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(41,1),(81,1),(150,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(21,1),(23,1),(37,1),(46,1)}
        13:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(23,1),(38,1),(46,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(23,1),(122,1)}
        15:{1,2,3,5,6,7}:{(8,1),(23,1),(24,1),(44,1),(45,1),(47,1),(50,1),(70,1),(82,1),(83,1),(84,1),(125,1),(157,1),(169,1),(171,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(25,1),(101,1),(158,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(26,1),(100,1),(161,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(25,1),(30,1),(32,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(26,1),(31,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(32,1),(60,1),(61,1)}
        21:{1,2,4,6,7}:{(12,1),(30,1),(33,1),(52,1),(60,1)}
        22:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(53,1),(61,1)}
        23:{3,6,7}:{(14,1),(32,1),(142,1)}
        24:{1,2,4,6,7}:{(15,1),(35,1),(36,1),(60,1),(61,1),(90,1),(100,1),(101,1),(173,1),(174,1)}
        25:{1,3,5,6}:{(16,1),(18,1),(37,1),(39,1),(41,1),(144,1)}
        26:{2,3,5,6}:{(17,1),(19,1),(38,1),(40,1),(41,1),(147,1)}
        27:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(39,1),(40,1),(41,1),(71,1),(72,1),(111,1),(122,1)}
        28:{1,3,4,5,7}:{(18,1),(37,1),(42,1),(46,1),(73,1),(80,1),(115,1),(121,1),(144,1)}
        29:{2,3,4,5,7}:{(19,1),(38,1),(43,1),(46,1),(73,1),(79,1),(118,1),(121,1),(147,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(39,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(40,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(41,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(68,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(69,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(50,1),(81,1),(110,1),(157,1),(172,1)}
        36:{1,2,4,5,7}:{(24,1),(50,1),(51,1),(79,1),(80,1),(82,1),(111,1)}
        37:{1,3,4,6}:{(25,1),(28,1),(52,1),(56,1),(101,1),(142,1)}
        38:{2,3,4,6}:{(26,1),(29,1),(53,1),(56,1),(100,1),(142,1)}
        39:{1,2,5,6}:{(25,1),(30,1),(52,1),(54,1),(127,1)}
        40:{1,2,5,6}:{(26,1),(31,1),(53,1),(55,1),(130,1)}
        41:{3,5,6}:{(27,1),(32,1),(56,1),(132,1),(142,1)}
        42:{1,2,4,5,7}:{(28,1),(30,1),(52,1),(57,1),(60,1),(91,1),(94,1),(127,1)}
        43:{1,2,4,5,7}:{(29,1),(31,1),(53,1),(58,1),(61,1),(92,1),(96,1),(130,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(54,1),(60,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(55,1),(61,1)}
        46:{3,4,7}:{(32,1),(56,1),(60,1),(61,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(59,1),(63,1),(86,1),(88,1),(142,1),(166,1),(167,1)}
        48:{2,3,4,6,7}:{(33,1),(35,1),(60,1),(63,1),(64,1),(87,1),(98,1),(100,1),(129,1),(142,1),(167,1),(174,1)}
        49:{1,3,4,6,7}:{(34,1),(35,1),(61,1),(63,1),(65,1),(89,1),(98,1),(101,1),(126,1),(142,1),(166,1),(173,1)}
        50:{3,5,7}:{(35,1),(36,1),(66,1),(132,1)}
        51:{1,2,4,5,6}:{(36,1),(66,1),(100,1),(101,1),(103,1)}
        52:{1,2,4,6}:{(37,1),(39,1),(42,1),(68,1),(71,1)}
        53:{1,2,4,6}:{(38,1),(40,1),(43,1),(69,1),(72,1)}
        54:{2,3,5,6}:{(39,1),(41,1),(44,1),(68,1),(71,1),(107,1)}
        55:{1,3,5,6}:{(40,1),(41,1),(45,1),(69,1),(72,1),(109,1)}
        56:{3,4,6}:{(41,1),(46,1),(71,1),(72,1),(73,1)}
        57:{2,3,5,7}:{(42,1),(68,1),(75,1),(107,1),(121,1)}
        58:{1,3,5,7}:{(43,1),(69,1),(77,1),(109,1),(121,1)}
        59:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(70,1),(78,1),(82,1),(121,1),(169,1),(171,1)}
        60:{2,4,7}:{(44,1),(46,1),(71,1)}
        61:{1,4,7}:{(45,1),(46,1),(72,1)}
        62:{3,4,5,7}:{(46,1),(50,1),(73,1),(79,1),(80,1),(81,1),(121,1),(150,1),(172,1)}
        63:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(78,1),(82,1),(106,1),(108,1),(122,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(79,1),(82,1),(83,1),(107,1),(121,1),(147,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(80,1),(82,1),(84,1),(109,1),(121,1),(144,1)}
        66:{3,5,6}:{(50,1),(51,1),(81,1)}
        67:{1,2,4,5,6,7}:{(51,1),(85,1),(123,1),(124,1),(125,1),(152,1)}
        68:{2,3,6}:{(52,1),(57,1),(142,1)}
        69:{1,3,6}:{(53,1),(58,1),(142,1)}
        70:{1,2,3,5,6}:{(54,1),(55,1),(59,1),(86,1),(88,1),(90,1),(103,1),(127,1),(130,1),(132,1),(142,1),(159,1),(162,1)}
        71:{2,4,6}:{(54,1),(56,1),(60,1),(91,1)}
        72:{1,4,6}:{(55,1),(56,1),(61,1),(92,1)}
        73:{3,4,5}:{(56,1),(91,1),(92,1),(132,1)}
        74:{1,2,3,5,7}:{(57,1),(86,1),(94,1),(127,1),(136,1)}
        75:{2,3,4,7}:{(57,1),(60,1),(87,1),(94,1),(98,1)}
        76:{1,2,3,5,7}:{(58,1),(88,1),(96,1),(130,1),(139,1)}
        77:{1,3,4,7}:{(58,1),(61,1),(89,1),(96,1),(98,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(61,1),(90,1),(98,1),(173,1),(174,1)}
        79:{2,4,5,7}:{(60,1),(62,1),(64,1),(91,1),(100,1),(161,1),(174,1)}
        80:{1,4,5,7}:{(61,1),(62,1),(65,1),(92,1),(101,1),(158,1),(173,1)}
        81:{3,4,6}:{(62,1),(66,1),(100,1),(101,1),(142,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(65,1),(103,1),(127,1),(130,1)}
        83:{2,3,5,6}:{(64,1),(66,1),(100,1),(103,1),(142,1)}
        84:{1,3,5,6}:{(65,1),(66,1),(101,1),(103,1),(142,1)}
        85:{3,5,6,7}:{(66,1),(67,1),(102,1),(165,1)}
        86:{1,2,3,6}:{(68,1),(74,1),(106,1),(153,1)}
        87:{2,3,4,6}:{(68,1),(71,1),(75,1),(106,1),(107,1),(110,1)}
        88:{1,2,3,6}:{(69,1),(76,1),(108,1),(155,1)}
        89:{1,3,4,6}:{(69,1),(72,1),(77,1),(108,1),(109,1),(110,1)}
        90:{1,2,4,6}:{(70,1),(71,1),(72,1),(78,1),(110,1),(111,1),(168,1),(170,1)}
        91:{2,4,5}:{(71,1),(73,1),(107,1)}
        92:{1,4,5}:{(72,1),(73,1),(109,1)}
        93:{3,4,5,6}:{(73,1),(81,1),(112,1),(113,1),(114,1),(151,1)}
        94:{1,2,4,7}:{(74,1),(75,1),(106,1),(115,1)}
        95:{2,3,4,5,7}:{(75,1),(79,1),(107,1),(116,1),(117,1),(121,1),(146,1),(150,1),(172,1)}
        96:{1,2,4,7}:{(76,1),(77,1),(108,1),(118,1)}
        97:{1,3,4,5,7}:{(77,1),(80,1),(109,1),(119,1),(120,1),(121,1),(149,1),(150,1),(172,1)}
        98:{3,4,7}:{(78,1),(110,1),(121,1)}
        99:{1,2,4,5,7}:{(78,1),(79,1),(80,1),(82,1),(111,1),(121,1),(122,1)}
       100:{2,4,6}:{(79,1),(81,1),(83,1)}
       101:{1,4,6}:{(80,1),(81,1),(84,1)}
       102:{3,4,6,7}:{(81,1),(85,1),(114,1),(123,1),(124,1),(157,1),(172,1)}
       103:{1,2,5,6}:{(82,1),(83,1),(84,1),(122,1)}
       104:{2,3,5,6,7}:{(83,1),(85,1),(123,1),(125,1),(146,1),(157,1),(171,1)}
       105:{1,3,5,6,7}:{(84,1),(85,1),(124,1),(125,1),(149,1),(157,1),(169,1)}
       106:{1,2,4,6}:{(86,1),(87,1),(94,1),(126,1),(127,1)}
       107:{2,3,5}:{(87,1),(91,1),(127,1),(132,1)}
       108:{1,2,4,6}:{(88,1),(89,1),(96,1),(129,1),(130,1)}
       109:{1,3,5}:{(89,1),(92,1),(130,1),(132,1)}
       110:{3,4,6}:{(90,1),(98,1),(132,1),(142,1)}
       111:{1,2,4,5}:{(90,1),(91,1),(92,1),(127,1),(130,1),(132,1),(158,1),(161,1)}
       112:{2,4,5,6}:{(91,1),(93,1),(100,1),(128,1),(134,1)}
       113:{1,4,5,6}:{(92,1),(93,1),(101,1),(131,1),(135,1)}
       114:{3,4,5,7}:{(93,1),(102,1),(134,1),(135,1),(165,1)}
       115:{1,3,4,7}:{(94,1),(98,1),(126,1),(136,1),(173,1)}
       116:{1,2,4,5,7}:{(94,1),(95,1),(127,1),(136,1),(137,1),(158,1),(160,1),(173,1)}
       117:{2,3,4,6}:{(95,1),(100,1),(128,1),(137,1),(142,1),(164,1)}
       118:{2,3,4,7}:{(96,1),(98,1),(129,1),(139,1),(174,1)}
       119:{1,2,4,5,7}:{(96,1),(97,1),(130,1),(139,1),(140,1),(161,1),(163,1),(174,1)}
       120:{1,3,4,6}:{(97,1),(101,1),(131,1),(140,1),(142,1),(164,1)}
       121:{3,5,7}:{(98,1),(99,1),(132,1),(142,1)}
       122:{1,2,4,6}:{(99,1),(100,1),(101,1),(103,1),(142,1)}
       123:{2,4,6,7}:{(100,1),(102,1),(104,1),(134,1),(174,1)}
       124:{1,4,6,7}:{(101,1),(102,1),(105,1),(135,1),(173,1)}
       125:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(143,1),(160,1),(163,1)}
       126:{1,3,4,6}:{(106,1),(110,1),(115,1),(144,1),(153,1),(168,1)}
       127:{1,2,5}:{(106,1),(107,1),(144,1)}
       128:{2,3,5,6}:{(107,1),(112,1),(117,1),(145,1),(146,1),(151,1)}
       129:{2,3,4,6}:{(108,1),(110,1),(118,1),(147,1),(155,1),(170,1)}
       130:{1,2,5}:{(108,1),(109,1),(147,1)}
       131:{1,3,5,6}:{(109,1),(113,1),(120,1),(148,1),(149,1),(151,1)}
       132:{3,5}:{(110,1),(111,1)}
       133:{1,2,4,5,6}:{(111,1),(112,1),(113,1),(122,1),(145,1),(148,1),(151,1),(152,1),(168,1),(170,1)}
       134:{2,4,5,7}:{(112,1),(114,1),(123,1),(146,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(124,1),(149,1)}
       136:{1,3,5,7}:{(115,1),(116,1),(121,1),(144,1),(153,1)}
       137:{1,2,4,6}:{(116,1),(117,1),(145,1),(153,1),(168,1)}
       138:{2,3,4,6,7}:{(117,1),(123,1),(146,1),(154,1),(157,1),(172,1)}
       139:{2,3,5,7}:{(118,1),(119,1),(121,1),(147,1),(155,1)}
       140:{1,2,4,6}:{(119,1),(120,1),(148,1),(155,1),(170,1)}
       141:{1,3,4,6,7}:{(120,1),(124,1),(149,1),(156,1),(157,1),(172,1)}
       142:{3,6}:{(121,1),(122,1)}
       143:{1,2,4,6,7}:{(122,1),(123,1),(124,1),(125,1),(152,1),(157,1)}
       144:{1,3,5}:{(126,1),(127,1),(132,1),(158,1)}
       145:{1,2,5,6}:{(127,1),(128,1),(137,1),(159,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(134,1),(138,1),(160,1),(165,1)}
       147:{2,3,5}:{(129,1),(130,1),(132,1),(161,1)}
       148:{1,2,5,6}:{(130,1),(131,1),(140,1),(162,1),(163,1)}
       149:{1,3,5,7}:{(131,1),(135,1),(141,1),(163,1),(165,1)}
       150:{3,4,5}:{(132,1),(158,1),(161,1),(164,1)}
       151:{3,5,6}:{(132,1),(133,1),(142,1),(164,1),(165,1)}
       152:{1,2,4,5,7}:{(133,1),(134,1),(135,1),(143,1),(160,1),(163,1),(165,1),(173,1),(174,1)}
       153:{1,3,6}:{(136,1),(137,1),(142,1)}
       154:{1,2,4,6,7}:{(137,1),(138,1),(160,1),(166,1),(173,1)}
       155:{2,3,6}:{(139,1),(140,1),(142,1)}
       156:{1,2,4,6,7}:{(140,1),(141,1),(163,1),(167,1),(174,1)}
       157:{3,6,7}:{(142,1),(143,1),(165,1)}
       158:{1,4,5}:{(144,1),(150,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(151,1),(153,1),(168,1),(169,1)}
       160:{1,2,5,7}:{(145,1),(146,1),(154,1),(169,1)}
       161:{2,4,5}:{(147,1),(150,1),(170,1)}
       162:{2,3,5,6}:{(147,1),(148,1),(151,1),(155,1),(170,1),(171,1)}
       163:{1,2,5,7}:{(148,1),(149,1),(156,1),(171,1)}
       164:{3,4,6}:{(150,1),(151,1),(168,1),(170,1),(172,1)}
       165:{3,5,7}:{(151,1),(152,1),(157,1),(172,1)}
       166:{1,3,6,7}:{(153,1),(154,1),(157,1),(169,1)}
       167:{2,3,6,7}:{(155,1),(156,1),(157,1),(171,1)}
       168:{1,4,6}:{(158,1),(159,1),(164,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(165,1),(166,1),(173,1)}
       170:{2,4,6}:{(161,1),(162,1),(164,1),(174,1)}
       171:{2,3,5,7}:{(162,1),(163,1),(165,1),(167,1),(174,1)}
       172:{3,4,7}:{(164,1),(165,1),(173,1),(174,1)}
       173:{1,4,7}:{(168,1),(169,1),(172,1)}
       174:{2,4,7}:{(170,1),(171,1),(172,1)}

1238 :   0:{1,2,3,6,7}:{(3,1),(4,1),(44,1),(80,1),(81,1),(82,1),(83,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(42,1),(44,1),(50,1),(82,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(44,1),(54,1),(81,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(27,1),(61,1),(69,1),(72,1),(94,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(28,1),(65,1),(66,1),(90,1),(91,1),(93,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(11,1),(28,1),(60,1),(67,1)}
         6:{1,3,5,7}:{(2,1),(8,1),(12,1),(13,1),(28,1),(59,1),(70,1)}
         7:{1,2,3,5,6}:{(4,1),(14,1),(15,1),(40,1),(44,1),(77,1),(78,1),(79,1),(80,1),(83,1)}
         8:{1,2,5,7}:{(3,1),(5,1),(6,1),(15,1),(79,1),(84,1),(85,1)}
         9:{1,2,4,7}:{(4,1),(14,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(15,1),(19,1),(44,1),(49,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(75,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(15,1),(22,1),(44,1),(53,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(74,1),(95,1)}
        14:{1,2,4,6}:{(7,1),(9,1),(24,1),(25,1),(87,1),(88,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(12,1),(27,1),(68,1),(71,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(11,1),(13,1),(24,1),(27,1),(28,1),(34,1),(38,1),(65,1),(89,1),(101,1)}
        17:{3,4,7}:{(9,1),(25,1),(28,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(26,1),(32,1),(62,1),(67,1),(91,1)}
        19:{2,4,6}:{(10,1),(11,1),(33,1)}
        20:{3,4,5,7}:{(11,1),(28,1),(33,1),(34,1),(56,1),(67,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(26,1),(36,1),(62,1),(70,1),(90,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(28,1),(37,1),(38,1),(56,1),(70,1),(86,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(74,1),(75,1),(79,1)}
        25:{3,4,6}:{(14,1),(17,1),(40,1),(44,1)}
        26:{1,2,5,6,7}:{(15,1),(18,1),(21,1),(43,1),(84,1),(85,1),(99,1)}
        27:{1,2,4,6}:{(15,1),(16,1),(19,1),(22,1),(44,1),(51,1),(55,1),(83,1)}
        28:{3,5,7}:{(16,1),(17,1),(40,1),(44,1),(98,1),(104,1)}
        29:{1,3,4,7}:{(17,1),(41,1),(45,1),(47,1),(95,1),(104,1)}
        30:{2,3,4,7}:{(17,1),(42,1),(46,1),(47,1),(96,1),(104,1)}
        31:{2,4,5,6}:{(19,1),(48,1),(49,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(48,1),(50,1),(96,1)}
        33:{3,4,6}:{(19,1),(20,1),(44,1),(49,1),(51,1)}
        34:{1,4,5,7}:{(20,1),(45,1),(51,1),(74,1),(84,1),(95,1)}
        35:{1,4,5,6}:{(22,1),(52,1),(53,1)}
        36:{1,4,6,7}:{(21,1),(22,1),(52,1),(54,1),(95,1)}
        37:{3,4,6}:{(22,1),(23,1),(44,1),(53,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(46,1),(55,1),(75,1),(85,1),(96,1)}
        39:{1,2,4,5,6}:{(24,1),(27,1),(31,1),(35,1),(57,1),(58,1),(68,1),(71,1),(87,1),(88,1),(92,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(29,1),(59,1),(61,1),(63,1),(87,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(30,1),(60,1),(61,1),(64,1),(88,1),(102,1),(103,1)}
        43:{1,2,4,6,7}:{(26,1),(27,1),(32,1),(36,1),(57,1),(62,1),(69,1),(72,1),(94,1),(101,1)}
        44:{3,6}:{(27,1),(28,1)}
        45:{1,3,5,7}:{(28,1),(29,1),(34,1),(59,1),(63,1),(65,1)}
        46:{2,3,5,7}:{(28,1),(30,1),(38,1),(60,1),(64,1),(65,1)}
        47:{1,2,4,7}:{(29,1),(30,1),(61,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(31,1),(32,1),(67,1)}
        49:{3,5,6}:{(31,1),(33,1),(67,1),(68,1)}
        50:{3,4,6,7}:{(32,1),(33,1),(62,1),(67,1),(69,1),(86,1)}
        51:{1,4,6}:{(33,1),(34,1),(63,1),(68,1)}
        52:{1,4,5,7}:{(35,1),(36,1),(70,1)}
        53:{3,5,6}:{(35,1),(37,1),(70,1),(71,1)}
        54:{3,4,6,7}:{(36,1),(37,1),(62,1),(70,1),(72,1),(86,1)}
        55:{2,4,6}:{(37,1),(38,1),(64,1),(71,1)}
        56:{3,4,5}:{(40,1),(73,1),(74,1),(75,1),(98,1)}
        57:{1,2,4,5,7}:{(39,1),(43,1),(48,1),(52,1),(76,1),(84,1),(85,1),(95,1),(96,1),(99,1)}
        58:{3,5,6}:{(39,1),(40,1),(44,1),(73,1),(76,1)}
        59:{1,3,5}:{(40,1),(41,1),(74,1),(79,1),(98,1)}
        60:{2,3,5}:{(40,1),(42,1),(75,1),(79,1),(98,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(47,1),(79,1),(80,1),(83,1),(100,1)}
        62:{3,6,7}:{(43,1),(44,1),(76,1),(104,1)}
        63:{1,3,6}:{(44,1),(45,1),(51,1),(83,1)}
        64:{2,3,6}:{(44,1),(46,1),(55,1),(83,1)}
        65:{1,2,5,7}:{(45,1),(46,1),(47,1),(79,1),(83,1)}
        66:{1,2,3,7}:{(47,1),(80,1),(104,1)}
        67:{3,5,7}:{(48,1),(49,1),(50,1),(84,1)}
        68:{1,5,6}:{(49,1),(51,1),(84,1)}
        69:{1,4,6,7}:{(50,1),(51,1),(81,1),(84,1),(95,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{2,5,6}:{(53,1),(55,1),(85,1)}
        72:{2,4,6,7}:{(54,1),(55,1),(82,1),(85,1),(96,1)}
        73:{3,4,6}:{(56,1),(58,1),(86,1),(87,1),(88,1),(102,1)}
        74:{1,4,5}:{(56,1),(59,1),(87,1)}
        75:{2,4,5}:{(56,1),(60,1),(88,1)}
        76:{3,5,7}:{(57,1),(58,1),(62,1),(86,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(68,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(64,1),(71,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(66,1),(93,1),(102,1)}
        81:{1,3,6,7}:{(62,1),(63,1),(69,1),(90,1),(94,1)}
        82:{2,3,6,7}:{(62,1),(64,1),(72,1),(91,1),(94,1)}
        83:{1,2,6}:{(63,1),(64,1),(65,1)}
        84:{1,5,7}:{(67,1),(68,1),(69,1)}
        85:{2,5,7}:{(70,1),(71,1),(72,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        88:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(74,1),(75,1),(79,1),(97,1),(98,1),(100,1)}
        90:{1,3,5,7}:{(76,1),(77,1),(81,1),(84,1),(95,1),(99,1),(104,1)}
        91:{2,3,5,7}:{(76,1),(78,1),(82,1),(85,1),(96,1),(99,1),(104,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(83,1),(97,1),(99,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(98,1),(100,1)}
        94:{1,2,6,7}:{(81,1),(82,1),(83,1),(99,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,4,6}:{(87,1),(88,1),(89,1),(92,1),(101,1),(102,1)}
        98:{3,5}:{(89,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(90,1),(91,1),(92,1),(94,1),(101,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1239 :   0:{2,3,4,5,7}:{(2,1),(3,1),(19,1),(21,1),(59,1),(102,1),(104,1),(114,1),(159,1),(167,1)}
         1:{1,3,4,5,7}:{(4,1),(5,1),(15,1),(25,1),(49,1),(101,1),(115,1),(117,1),(159,1),(176,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(32,1),(69,1),(73,1),(75,1)}
         3:{2,3,4,6}:{(0,1),(7,1),(9,1),(76,1),(145,1),(183,1),(190,1)}
         4:{1,2,4,5,7}:{(1,1),(10,1),(11,1),(27,1),(40,1),(69,1),(85,1),(87,1)}
         5:{1,3,4,6}:{(1,1),(11,1),(13,1),(88,1),(132,1),(183,1),(195,1)}
         6:{1,3,5,7}:{(2,1),(15,1),(16,1),(49,1),(159,1)}
         7:{1,2,4,6}:{(2,1),(3,1),(16,1),(18,1),(51,1)}
         8:{2,3,4,6,7}:{(3,1),(17,1),(19,1),(55,1),(104,1),(107,1),(170,1)}
         9:{2,3,5,6}:{(3,1),(18,1),(19,1),(20,1),(54,1),(59,1),(204,1)}
        10:{2,3,5,7}:{(4,1),(21,1),(22,1),(59,1),(159,1)}
        11:{1,2,4,6}:{(4,1),(5,1),(22,1),(24,1),(61,1)}
        12:{1,3,4,6,7}:{(5,1),(23,1),(25,1),(65,1),(117,1),(120,1),(179,1)}
        13:{1,3,5,6}:{(5,1),(24,1),(25,1),(26,1),(49,1),(64,1),(206,1)}
        14:{1,2,3,5,7}:{(6,1),(10,1),(27,1),(28,1),(69,1)}
        15:{1,3,4,7}:{(6,1),(27,1),(29,1),(75,1),(129,1)}
        16:{1,3,6}:{(6,1),(7,1),(183,1)}
        17:{1,2,4,6,7}:{(7,1),(8,1),(30,1),(32,1),(75,1)}
        18:{1,2,5,6}:{(7,1),(9,1),(31,1),(32,1),(69,1)}
        19:{2,3,5,7}:{(8,1),(9,1),(32,1),(35,1),(78,1),(192,1)}
        20:{2,4,5,6}:{(9,1),(35,1),(36,1),(85,1),(145,1)}
        21:{2,3,4,7}:{(10,1),(27,1),(37,1),(87,1),(129,1)}
        22:{2,3,6}:{(10,1),(11,1),(183,1)}
        23:{1,2,4,6,7}:{(11,1),(12,1),(38,1),(40,1),(87,1)}
        24:{1,2,5,6}:{(11,1),(13,1),(39,1),(40,1),(69,1)}
        25:{1,3,5,7}:{(12,1),(13,1),(40,1),(43,1),(90,1),(197,1)}
        26:{1,4,5,6}:{(13,1),(43,1),(44,1),(73,1),(132,1)}
        27:{1,2,4,7}:{(14,1),(15,1),(21,1),(45,1)}
        28:{1,2,3,6}:{(14,1),(16,1),(22,1),(45,1)}
        29:{1,3,4,6}:{(15,1),(16,1),(45,1),(49,1),(51,1),(99,1)}
        30:{1,3,6,7}:{(16,1),(17,1),(50,1),(107,1)}
        31:{1,3,5,6}:{(16,1),(18,1),(49,1),(50,1),(51,1),(54,1)}
        32:{1,2,5,7}:{(17,1),(18,1),(19,1),(50,1)}
        33:{1,2,4,5,6}:{(18,1),(20,1),(51,1),(53,1),(54,1),(57,1),(97,1),(106,1),(110,1),(158,1),(165,1),(204,1)}
        34:{2,3,5,6,7}:{(19,1),(52,1),(55,1),(107,1),(111,1),(113,1)}
        35:{2,4,5,7}:{(19,1),(20,1),(55,1),(56,1)}
        36:{3,4,5,6}:{(20,1),(54,1),(56,1),(57,1),(115,1),(175,1)}
        37:{2,3,4,6}:{(21,1),(22,1),(45,1),(59,1),(61,1),(99,1)}
        38:{2,3,6,7}:{(22,1),(23,1),(60,1),(120,1)}
        39:{2,3,5,6}:{(22,1),(24,1),(59,1),(60,1),(61,1),(64,1)}
        40:{1,2,5,7}:{(23,1),(24,1),(25,1),(60,1)}
        41:{1,2,4,5,6}:{(24,1),(26,1),(61,1),(63,1),(64,1),(67,1),(97,1),(118,1),(123,1),(158,1),(174,1),(206,1)}
        42:{1,3,5,6,7}:{(25,1),(62,1),(65,1),(100,1),(120,1),(124,1)}
        43:{1,4,5,7}:{(25,1),(26,1),(65,1),(66,1)}
        44:{3,4,5,6}:{(26,1),(64,1),(66,1),(67,1),(102,1),(166,1)}
        45:{1,2,4,6}:{(27,1),(28,1),(29,1),(37,1),(69,1)}
        46:{1,2,3,6,7}:{(28,1),(30,1),(38,1),(68,1),(70,1),(142,1),(154,1),(183,1),(208,1)}
        47:{1,2,3,5,6}:{(28,1),(31,1),(39,1),(69,1),(70,1),(71,1),(80,1),(91,1),(126,1),(128,1),(183,1),(186,1),(188,1),(208,1)}
        48:{1,3,4,6,7}:{(29,1),(30,1),(68,1),(72,1),(75,1),(129,1),(132,1),(137,1),(183,1)}
        49:{1,3,5}:{(29,1),(69,1),(73,1),(128,1)}
        50:{1,3,5,7}:{(30,1),(31,1),(32,1),(75,1),(78,1)}
        51:{1,4,6}:{(31,1),(73,1),(75,1),(76,1)}
        52:{1,2,5,6,7}:{(32,1),(34,1),(74,1),(77,1),(126,1),(144,1),(192,1)}
        53:{1,2,4,5,7}:{(32,1),(33,1),(35,1),(75,1),(77,1),(78,1),(83,1),(136,1),(139,1),(143,1),(192,1)}
        54:{3,5,6}:{(33,1),(76,1),(78,1),(128,1),(183,1)}
        55:{2,4,6,7}:{(34,1),(35,1),(82,1),(145,1)}
        56:{3,4,5,7}:{(35,1),(36,1),(78,1),(82,1),(83,1)}
        57:{1,4,5,6}:{(36,1),(79,1),(83,1),(147,1),(195,1)}
        58:{2,3,4,6,7}:{(37,1),(38,1),(68,1),(84,1),(87,1),(129,1),(145,1),(150,1),(183,1)}
        59:{2,3,5}:{(37,1),(69,1),(85,1),(128,1)}
        60:{2,3,5,7}:{(38,1),(39,1),(40,1),(87,1),(90,1)}
        61:{2,4,6}:{(39,1),(85,1),(87,1),(88,1)}
        62:{1,2,5,6,7}:{(40,1),(42,1),(86,1),(89,1),(126,1),(157,1),(197,1)}
        63:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(87,1),(89,1),(90,1),(95,1),(149,1),(151,1),(156,1),(197,1)}
        64:{3,5,6}:{(41,1),(88,1),(90,1),(128,1),(183,1)}
        65:{1,4,6,7}:{(42,1),(43,1),(94,1),(132,1)}
        66:{3,4,5,7}:{(43,1),(44,1),(90,1),(94,1),(95,1)}
        67:{2,4,5,6}:{(44,1),(92,1),(95,1),(135,1),(190,1)}
        68:{1,2,4,6,7}:{(45,1),(46,1),(48,1),(58,1),(96,1),(98,1),(158,1),(170,1),(179,1)}
        69:{1,2,5}:{(45,1),(49,1),(59,1)}
        70:{1,2,3,5,7}:{(46,1),(47,1),(50,1),(60,1),(96,1),(98,1),(109,1),(121,1),(159,1),(201,1),(203,1)}
        71:{1,2,4,6}:{(47,1),(51,1),(61,1),(97,1),(98,1),(99,1),(106,1),(118,1)}
        72:{1,3,5,7}:{(48,1),(49,1),(96,1),(100,1),(101,1),(159,1),(169,1)}
        73:{1,4,5}:{(49,1),(51,1),(102,1)}
        74:{1,3,5,6,7}:{(50,1),(52,1),(100,1),(103,1),(107,1),(169,1)}
        75:{1,4,7}:{(50,1),(51,1),(104,1)}
        76:{3,4,6}:{(51,1),(54,1),(102,1),(104,1),(106,1)}
        77:{1,2,4,6,7}:{(52,1),(53,1),(55,1),(103,1),(107,1),(112,1),(158,1),(170,1),(173,1)}
        78:{3,5,7}:{(53,1),(54,1),(104,1),(107,1)}
        79:{1,3,5,6}:{(54,1),(57,1),(105,1),(108,1),(110,1),(160,1),(199,1)}
        80:{2,3,5,6}:{(54,1),(106,1),(109,1),(110,1),(161,1),(172,1),(200,1),(204,1)}
        81:{2,4,5,6,7}:{(55,1),(111,1),(174,1)}
        82:{3,4,6,7}:{(55,1),(56,1),(107,1),(111,1),(112,1),(175,1)}
        83:{1,4,5,7}:{(56,1),(57,1),(108,1),(112,1)}
        84:{2,3,5,7}:{(58,1),(59,1),(96,1),(113,1),(114,1),(159,1),(178,1)}
        85:{2,4,5}:{(59,1),(61,1),(115,1)}
        86:{2,3,5,6,7}:{(60,1),(62,1),(113,1),(116,1),(120,1),(178,1)}
        87:{2,4,7}:{(60,1),(61,1),(117,1)}
        88:{3,4,6}:{(61,1),(64,1),(115,1),(117,1),(118,1)}
        89:{1,2,4,6,7}:{(62,1),(63,1),(65,1),(116,1),(120,1),(125,1),(158,1),(179,1),(182,1)}
        90:{3,5,7}:{(63,1),(64,1),(117,1),(120,1)}
        91:{1,3,5,6}:{(64,1),(118,1),(121,1),(123,1),(160,1),(181,1),(199,1),(206,1)}
        92:{2,3,5,6}:{(64,1),(67,1),(119,1),(122,1),(123,1),(161,1),(200,1)}
        93:{1,4,5,6,7}:{(65,1),(124,1),(165,1)}
        94:{3,4,6,7}:{(65,1),(66,1),(120,1),(124,1),(125,1),(166,1)}
        95:{2,4,5,7}:{(66,1),(67,1),(122,1),(125,1)}
        96:{1,2,5,7}:{(68,1),(69,1),(72,1),(84,1),(126,1),(192,1),(197,1)}
        97:{1,2,4,5}:{(69,1),(71,1),(73,1),(85,1),(128,1),(135,1),(147,1),(186,1)}
        98:{1,2,4,7}:{(70,1),(71,1),(75,1),(87,1),(129,1),(139,1),(151,1)}
        99:{3,4,6}:{(71,1),(128,1),(129,1),(183,1)}
       100:{1,3,5,6}:{(72,1),(126,1),(132,1),(183,1),(189,1)}
       101:{1,4,5,7}:{(72,1),(73,1),(75,1),(132,1),(133,1)}
       102:{3,4,5}:{(73,1),(76,1),(128,1),(135,1)}
       103:{1,4,6,7}:{(74,1),(75,1),(132,1),(136,1),(137,1)}
       104:{3,4,7}:{(75,1),(76,1),(78,1),(139,1)}
       105:{1,3,4,6}:{(76,1),(79,1),(134,1),(138,1),(140,1)}
       106:{2,4,6}:{(76,1),(80,1),(135,1),(139,1)}
       107:{3,6,7}:{(77,1),(78,1),(183,1)}
       108:{1,3,5,7}:{(78,1),(79,1),(83,1),(138,1),(141,1),(143,1)}
       109:{2,3,5,7}:{(78,1),(80,1),(139,1),(142,1),(143,1),(192,1),(193,1)}
       110:{1,2,5,6}:{(79,1),(80,1),(140,1),(143,1),(186,1),(208,1)}
       111:{3,5,6,7}:{(81,1),(82,1),(144,1),(194,1)}
       112:{1,4,6,7}:{(82,1),(83,1),(141,1),(144,1),(195,1)}
       113:{2,3,5,6}:{(84,1),(126,1),(145,1),(183,1),(194,1)}
       114:{2,4,5,7}:{(84,1),(85,1),(87,1),(145,1),(146,1)}
       115:{3,4,5}:{(85,1),(88,1),(128,1),(147,1)}
       116:{2,4,6,7}:{(86,1),(87,1),(145,1),(149,1),(150,1)}
       117:{3,4,7}:{(87,1),(88,1),(90,1),(151,1)}
       118:{1,4,6}:{(88,1),(91,1),(147,1),(151,1)}
       119:{2,3,4,6}:{(88,1),(92,1),(148,1),(152,1),(153,1)}
       120:{3,6,7}:{(89,1),(90,1),(183,1)}
       121:{1,3,5,7}:{(90,1),(91,1),(151,1),(154,1),(156,1),(197,1),(198,1)}
       122:{2,3,5,7}:{(90,1),(92,1),(95,1),(152,1),(155,1),(156,1)}
       123:{1,2,5,6}:{(91,1),(92,1),(153,1),(156,1),(186,1),(208,1)}
       124:{3,5,6,7}:{(93,1),(94,1),(157,1),(189,1)}
       125:{2,4,6,7}:{(94,1),(95,1),(155,1),(157,1),(190,1)}
       126:{1,2,5,6}:{(96,1),(100,1),(113,1),(158,1),(204,1),(206,1)}
       127:{1,2,4,5,7}:{(96,1),(97,1),(98,1),(101,1),(114,1),(158,1),(159,1),(167,1),(176,1),(201,1)}
       128:{3,5}:{(97,1),(99,1)}
       129:{3,4,7}:{(98,1),(99,1),(159,1)}
       130:{1,3,4,6}:{(99,1),(118,1),(160,1),(162,1),(164,1),(181,1),(199,1),(207,1)}
       131:{2,3,4,6}:{(99,1),(106,1),(161,1),(163,1),(164,1),(172,1),(200,1),(205,1)}
       132:{1,4,6}:{(100,1),(101,1),(166,1)}
       133:{3,4,5,7}:{(101,1),(102,1),(104,1),(159,1),(166,1),(167,1),(169,1)}
       134:{1,3,4,5}:{(102,1),(105,1),(160,1),(168,1),(207,1)}
       135:{2,4,5}:{(102,1),(106,1),(161,1)}
       136:{1,4,5,7}:{(103,1),(165,1),(169,1)}
       137:{3,4,6,7}:{(103,1),(104,1),(107,1),(166,1),(169,1),(170,1)}
       138:{1,3,4,7}:{(104,1),(105,1),(108,1),(171,1)}
       139:{2,4,7}:{(104,1),(106,1),(109,1)}
       140:{1,2,4,6}:{(105,1),(106,1),(110,1),(168,1),(171,1),(172,1)}
       141:{1,3,6,7}:{(107,1),(108,1),(112,1),(173,1),(199,1)}
       142:{2,3,6,7}:{(107,1),(109,1),(170,1),(173,1),(200,1)}
       143:{1,2,5,7}:{(108,1),(109,1),(110,1),(171,1),(173,1)}
       144:{1,5,6,7}:{(111,1),(112,1),(206,1)}
       145:{2,4,6}:{(113,1),(114,1),(175,1)}
       146:{3,4,5,7}:{(114,1),(115,1),(117,1),(159,1),(175,1),(176,1),(178,1)}
       147:{1,4,5}:{(115,1),(118,1),(160,1)}
       148:{2,3,4,5}:{(115,1),(119,1),(161,1),(177,1),(205,1)}
       149:{2,4,5,7}:{(116,1),(174,1),(178,1)}
       150:{3,4,6,7}:{(116,1),(117,1),(120,1),(175,1),(178,1),(179,1)}
       151:{1,4,7}:{(117,1),(118,1),(121,1)}
       152:{2,3,4,7}:{(117,1),(119,1),(122,1),(180,1)}
       153:{1,2,4,6}:{(118,1),(119,1),(123,1),(177,1),(180,1),(181,1)}
       154:{1,3,6,7}:{(120,1),(121,1),(179,1),(182,1),(199,1)}
       155:{2,3,6,7}:{(120,1),(122,1),(125,1),(182,1),(200,1)}
       156:{1,2,5,7}:{(121,1),(122,1),(123,1),(180,1),(182,1)}
       157:{2,5,6,7}:{(124,1),(125,1),(204,1)}
       158:{1,2,4,6}:{(126,1),(127,1),(132,1),(145,1),(183,1),(190,1),(195,1),(208,1)}
       159:{3,5,7}:{(127,1),(128,1),(129,1),(183,1)}
       160:{1,3,5}:{(128,1),(130,1),(147,1),(186,1)}
       161:{2,3,5}:{(128,1),(131,1),(135,1),(186,1)}
       162:{1,3,4,7}:{(129,1),(130,1),(151,1),(184,1),(187,1),(198,1)}
       163:{2,3,4,7}:{(129,1),(131,1),(139,1),(185,1),(187,1),(193,1)}
       164:{1,2,4,6}:{(130,1),(131,1),(186,1),(187,1),(188,1),(208,1),(209,1)}
       165:{1,4,5,6}:{(132,1),(136,1),(189,1)}
       166:{3,4,6}:{(132,1),(133,1),(183,1),(189,1),(190,1)}
       167:{2,4,5,7}:{(133,1),(135,1),(139,1),(185,1),(190,1),(192,1)}
       168:{1,2,4,5}:{(134,1),(135,1),(140,1),(186,1),(191,1),(209,1)}
       169:{3,5,7}:{(136,1),(137,1),(189,1),(192,1)}
       170:{2,4,6,7}:{(137,1),(139,1),(142,1),(190,1),(192,1)}
       171:{1,2,4,7}:{(138,1),(139,1),(140,1),(143,1),(193,1)}
       172:{2,3,6}:{(140,1),(191,1),(193,1)}
       173:{1,2,6,7}:{(141,1),(142,1),(143,1),(208,1)}
       174:{2,4,5,6}:{(145,1),(149,1),(194,1)}
       175:{3,4,6}:{(145,1),(146,1),(183,1),(194,1),(195,1)}
       176:{1,4,5,7}:{(146,1),(147,1),(151,1),(184,1),(195,1),(197,1)}
       177:{1,2,4,5}:{(147,1),(148,1),(153,1),(186,1),(196,1),(209,1)}
       178:{3,5,7}:{(149,1),(150,1),(194,1),(197,1)}
       179:{1,4,6,7}:{(150,1),(151,1),(154,1),(195,1),(197,1)}
       180:{1,2,4,7}:{(151,1),(152,1),(153,1),(156,1),(198,1)}
       181:{1,3,6}:{(153,1),(196,1),(198,1)}
       182:{1,2,6,7}:{(154,1),(155,1),(156,1),(208,1)}
       183:{3,6}:{(158,1),(159,1)}
       184:{1,3,5,7}:{(159,1),(160,1),(162,1),(176,1),(199,1),(201,1)}
       185:{2,3,5,7}:{(159,1),(161,1),(163,1),(167,1),(200,1),(201,1)}
       186:{1,2,5}:{(160,1),(161,1),(164,1)}
       187:{1,2,4,7}:{(162,1),(163,1),(164,1),(201,1),(203,1)}
       188:{1,2,3,6}:{(164,1),(172,1),(181,1),(202,1),(203,1)}
       189:{3,5,6}:{(165,1),(166,1),(169,1),(204,1)}
       190:{2,4,6}:{(166,1),(167,1),(200,1),(204,1)}
       191:{2,3,5}:{(168,1),(172,1),(205,1)}
       192:{2,5,7}:{(169,1),(170,1),(204,1)}
       193:{2,3,7}:{(171,1),(172,1)}
       194:{3,5,6}:{(174,1),(175,1),(178,1),(206,1)}
       195:{1,4,6}:{(175,1),(176,1),(199,1),(206,1)}
       196:{1,3,5}:{(177,1),(181,1),(207,1)}
       197:{1,5,7}:{(178,1),(179,1),(206,1)}
       198:{1,3,7}:{(180,1),(181,1)}
       199:{1,3,6}:{(183,1),(184,1),(195,1),(208,1)}
       200:{2,3,6}:{(183,1),(185,1),(190,1),(208,1)}
       201:{1,2,5,7}:{(184,1),(185,1),(186,1),(187,1),(208,1)}
       202:{1,2,3,5}:{(186,1),(188,1),(191,1),(196,1),(209,1)}
       203:{1,2,3,7}:{(187,1),(188,1),(193,1),(198,1)}
       204:{2,5,6}:{(189,1),(190,1),(192,1)}
       205:{2,3,4}:{(191,1),(209,1)}
       206:{1,5,6}:{(194,1),(195,1),(197,1)}
       207:{1,3,4}:{(196,1),(209,1)}
       208:{1,2,6}:{(199,1),(200,1),(201,1)}
       209:{1,2,4}:{(202,1),(205,1),(207,1)}

1240 :   0:{2,3,4,5}:{(2,1),(3,1),(32,1),(86,1),(139,1)}
         1:{1,3,4,5}:{(4,1),(5,1),(24,1),(74,1),(149,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(9,1),(101,1)}
         3:{1,2,4,5}:{(0,1),(8,1),(10,1),(34,1),(94,1),(107,1)}
         4:{1,3,4,6}:{(1,1),(12,1),(13,1),(14,1),(114,1)}
         5:{1,2,4,5}:{(1,1),(13,1),(15,1),(34,1),(94,1),(120,1)}
         6:{3,4,5,6}:{(17,1),(18,1),(19,1),(66,1),(149,1),(201,1),(226,1)}
         7:{2,3,5,6}:{(2,1),(18,1),(20,1),(21,1),(66,1),(86,1),(155,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(20,1),(22,1),(23,1),(71,1)}
         9:{2,3,4,7}:{(2,1),(21,1),(23,1),(140,1)}
        10:{1,3,5}:{(3,1),(22,1),(24,1)}
        11:{3,4,5,6}:{(25,1),(26,1),(27,1),(78,1),(139,1),(195,1),(228,1)}
        12:{1,3,5,6}:{(4,1),(25,1),(28,1),(29,1),(74,1),(78,1),(145,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(28,1),(30,1),(31,1),(83,1)}
        14:{1,3,4,7}:{(4,1),(29,1),(31,1),(150,1)}
        15:{2,3,5}:{(5,1),(30,1),(32,1)}
        16:{1,2,3,5}:{(10,1),(15,1),(33,1),(34,1),(94,1)}
        17:{1,4,5,6}:{(6,1),(37,1),(39,1),(175,1),(216,1)}
        18:{2,4,5,6}:{(6,1),(7,1),(40,1),(120,1),(181,1)}
        19:{3,4,5,7}:{(6,1),(39,1),(40,1),(41,1),(102,1),(215,1)}
        20:{1,2,5,6}:{(7,1),(8,1),(42,1),(43,1),(94,1),(165,1)}
        21:{2,3,5,7}:{(7,1),(9,1),(40,1),(43,1),(44,1),(102,1)}
        22:{1,3,6}:{(8,1),(10,1),(46,1)}
        23:{1,2,4,7}:{(8,1),(9,1),(43,1),(46,1),(108,1)}
        24:{1,3,4}:{(10,1),(34,1)}
        25:{1,4,5,6}:{(11,1),(12,1),(49,1),(107,1),(173,1)}
        26:{2,4,5,6}:{(11,1),(47,1),(50,1),(167,1),(212,1)}
        27:{3,4,5,7}:{(11,1),(49,1),(50,1),(51,1),(115,1),(219,1)}
        28:{1,2,5,6}:{(12,1),(13,1),(52,1),(53,1),(94,1),(165,1)}
        29:{1,3,5,7}:{(12,1),(14,1),(49,1),(53,1),(54,1),(115,1)}
        30:{2,3,6}:{(13,1),(15,1),(56,1)}
        31:{1,2,4,7}:{(13,1),(14,1),(53,1),(56,1),(121,1)}
        32:{2,3,4}:{(15,1),(34,1)}
        33:{1,2,3,6}:{(16,1),(22,1),(30,1),(60,1),(61,1)}
        34:{1,2,4}:{(16,1),(24,1),(32,1)}
        35:{1,3,4,5}:{(57,1),(62,1),(135,1),(139,1),(187,1)}
        36:{2,3,4,5}:{(58,1),(63,1),(134,1),(149,1),(185,1)}
        37:{1,3,5,6}:{(17,1),(57,1),(64,1),(65,1),(66,1),(187,1),(222,1)}
        38:{1,2,4,5,6}:{(17,1),(18,1),(20,1),(64,1),(66,1),(67,1),(71,1),(129,1),(136,1),(191,1),(198,1),(225,1),(226,1)}
        39:{1,4,5,7}:{(17,1),(19,1),(65,1),(68,1)}
        40:{2,4,5,7}:{(18,1),(19,1),(21,1),(69,1)}
        41:{3,4,6,7}:{(19,1),(68,1),(69,1),(70,1),(141,1),(197,1),(201,1)}
        42:{1,3,5,6}:{(20,1),(22,1),(66,1),(71,1),(72,1),(74,1),(145,1),(198,1)}
        43:{1,2,5,7}:{(20,1),(21,1),(23,1),(72,1),(73,1)}
        44:{2,3,6,7}:{(21,1),(69,1),(73,1),(141,1),(155,1)}
        45:{1,3,4,6}:{(22,1),(24,1),(60,1),(71,1),(74,1),(75,1),(128,1),(145,1)}
        46:{1,3,7}:{(22,1),(23,1)}
        47:{2,3,5,6}:{(26,1),(58,1),(76,1),(77,1),(78,1),(185,1),(221,1)}
        48:{1,2,4,5,6}:{(25,1),(26,1),(28,1),(76,1),(78,1),(79,1),(83,1),(129,1),(146,1),(191,1),(204,1),(227,1),(228,1)}
        49:{1,4,5,7}:{(25,1),(27,1),(29,1),(80,1)}
        50:{2,4,5,7}:{(26,1),(27,1),(77,1),(81,1)}
        51:{3,4,6,7}:{(27,1),(80,1),(81,1),(82,1),(151,1),(195,1),(203,1)}
        52:{2,3,5,6}:{(28,1),(30,1),(78,1),(83,1),(84,1),(86,1),(155,1),(204,1)}
        53:{1,2,5,7}:{(28,1),(29,1),(31,1),(84,1),(85,1)}
        54:{1,3,6,7}:{(29,1),(80,1),(85,1),(145,1),(151,1)}
        55:{2,3,4,6}:{(30,1),(32,1),(60,1),(83,1),(86,1),(87,1),(128,1),(155,1)}
        56:{2,3,7}:{(30,1),(31,1)}
        57:{1,3,4,6}:{(35,1),(37,1),(88,1),(89,1),(101,1)}
        58:{2,3,4,6}:{(36,1),(47,1),(90,1),(91,1),(114,1)}
        59:{1,2,3,5,6}:{(33,1),(42,1),(52,1),(92,1),(93,1),(94,1),(98,1),(111,1),(156,1),(161,1),(165,1),(205,1),(209,1),(211,1),(229,1)}
        60:{1,2,4,6}:{(33,1),(34,1),(45,1),(55,1),(94,1),(95,1),(165,1)}
        61:{1,2,3,7}:{(33,1),(46,1),(56,1),(95,1)}
        62:{1,2,4,5}:{(35,1),(88,1),(96,1),(166,1),(167,1),(205,1)}
        63:{1,2,4,5}:{(36,1),(90,1),(97,1),(166,1),(175,1),(205,1)}
        64:{1,2,5,6}:{(37,1),(88,1),(98,1),(99,1),(205,1),(229,1)}
        65:{1,3,5,7}:{(37,1),(39,1),(89,1),(99,1),(100,1),(102,1)}
        66:{3,5,6}:{(38,1),(101,1),(102,1),(161,1),(209,1)}
        67:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(99,1),(102,1),(103,1),(108,1),(168,1),(174,1),(213,1),(215,1)}
        68:{1,4,6,7}:{(39,1),(41,1),(100,1),(104,1),(216,1)}
        69:{2,4,6,7}:{(40,1),(41,1),(44,1),(105,1),(181,1)}
        70:{3,5,6,7}:{(41,1),(104,1),(105,1),(106,1),(218,1)}
        71:{1,4,6}:{(42,1),(101,1),(107,1),(108,1)}
        72:{1,3,5,7}:{(42,1),(43,1),(46,1),(102,1),(108,1),(109,1),(174,1)}
        73:{1,2,6,7}:{(43,1),(44,1),(109,1),(165,1)}
        74:{1,3,5}:{(45,1),(94,1),(107,1),(161,1)}
        75:{1,3,4,7}:{(45,1),(46,1),(95,1),(108,1),(110,1),(162,1)}
        76:{1,2,5,6}:{(47,1),(90,1),(111,1),(112,1),(205,1),(229,1)}
        77:{2,3,5,7}:{(47,1),(50,1),(91,1),(112,1),(113,1),(115,1)}
        78:{3,5,6}:{(48,1),(114,1),(115,1),(161,1),(209,1)}
        79:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(53,1),(112,1),(115,1),(116,1),(121,1),(176,1),(182,1),(217,1),(219,1)}
        80:{1,4,6,7}:{(49,1),(51,1),(54,1),(117,1),(173,1)}
        81:{2,4,6,7}:{(50,1),(51,1),(113,1),(118,1),(212,1)}
        82:{3,5,6,7}:{(51,1),(117,1),(118,1),(119,1),(214,1)}
        83:{2,4,6}:{(52,1),(114,1),(120,1),(121,1)}
        84:{2,3,5,7}:{(52,1),(53,1),(56,1),(115,1),(121,1),(122,1),(182,1)}
        85:{1,2,6,7}:{(53,1),(54,1),(122,1),(165,1)}
        86:{2,3,5}:{(55,1),(94,1),(120,1),(161,1)}
        87:{2,3,4,7}:{(55,1),(56,1),(95,1),(121,1),(123,1),(162,1)}
        88:{1,2,4,6}:{(57,1),(62,1),(64,1),(124,1),(125,1),(136,1)}
        89:{1,3,4,7}:{(57,1),(65,1),(125,1),(140,1)}
        90:{1,2,4,6}:{(58,1),(63,1),(76,1),(126,1),(127,1),(146,1)}
        91:{2,3,4,7}:{(58,1),(77,1),(127,1),(150,1)}
        92:{1,2,4,6}:{(59,1),(71,1),(83,1),(128,1),(129,1),(130,1),(136,1),(146,1)}
        93:{1,2,3,5,7}:{(59,1),(61,1),(72,1),(84,1),(130,1),(131,1),(132,1),(137,1),(147,1),(184,1),(189,1),(192,1),(220,1)}
        94:{1,2,5}:{(60,1),(74,1),(86,1)}
        95:{1,2,4,7}:{(60,1),(61,1),(75,1),(87,1),(132,1)}
        96:{2,3,5}:{(62,1),(124,1),(134,1)}
        97:{1,3,5}:{(63,1),(126,1),(135,1)}
        98:{2,3,5,6}:{(64,1),(66,1),(124,1),(136,1),(137,1),(185,1),(221,1),(225,1)}
        99:{1,2,5,7}:{(64,1),(65,1),(125,1),(137,1),(138,1)}
       100:{1,3,6,7}:{(65,1),(68,1),(138,1),(141,1),(222,1)}
       101:{3,4,6}:{(66,1),(71,1),(136,1),(139,1),(140,1)}
       102:{3,5,7}:{(66,1),(67,1),(140,1),(141,1)}
       103:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(73,1),(138,1),(141,1),(142,1),(144,1),(191,1),(194,1),(197,1)}
       104:{1,5,6,7}:{(68,1),(70,1),(227,1)}
       105:{2,5,6,7}:{(69,1),(70,1),(204,1)}
       106:{4,5,6,7}:{(70,1),(197,1),(228,1)}
       107:{1,4,5}:{(71,1),(74,1),(139,1)}
       108:{1,4,7}:{(71,1),(72,1),(140,1)}
       109:{1,3,6,7}:{(72,1),(73,1),(141,1),(144,1),(145,1)}
       110:{1,3,5,7}:{(74,1),(75,1),(132,1),(143,1),(145,1),(189,1)}
       111:{1,3,5,6}:{(76,1),(78,1),(126,1),(146,1),(147,1),(187,1),(222,1),(227,1)}
       112:{1,2,5,7}:{(76,1),(77,1),(127,1),(147,1),(148,1)}
       113:{2,3,6,7}:{(77,1),(81,1),(148,1),(151,1),(221,1)}
       114:{3,4,6}:{(78,1),(83,1),(146,1),(149,1),(150,1)}
       115:{3,5,7}:{(78,1),(79,1),(150,1),(151,1)}
       116:{1,2,4,6,7}:{(79,1),(80,1),(81,1),(85,1),(148,1),(151,1),(152,1),(154,1),(191,1),(200,1),(203,1)}
       117:{1,5,6,7}:{(80,1),(82,1),(198,1)}
       118:{2,5,6,7}:{(81,1),(82,1),(225,1)}
       119:{4,5,6,7}:{(82,1),(203,1),(226,1)}
       120:{2,4,5}:{(83,1),(86,1),(149,1)}
       121:{2,4,7}:{(83,1),(84,1),(150,1)}
       122:{2,3,6,7}:{(84,1),(85,1),(151,1),(154,1),(155,1)}
       123:{2,3,5,7}:{(86,1),(87,1),(132,1),(153,1),(155,1),(189,1)}
       124:{2,3,6}:{(88,1),(96,1),(158,1)}
       125:{1,2,4,7}:{(88,1),(89,1),(99,1),(158,1),(168,1)}
       126:{1,3,6}:{(90,1),(97,1),(160,1)}
       127:{1,2,4,7}:{(90,1),(91,1),(112,1),(160,1),(176,1)}
       128:{3,4,6}:{(92,1),(161,1),(162,1),(209,1)}
       129:{1,2,4,5}:{(92,1),(94,1),(107,1),(120,1),(161,1),(167,1),(175,1),(205,1)}
       130:{1,2,4,7}:{(92,1),(93,1),(108,1),(121,1),(162,1),(168,1),(176,1)}
       131:{1,2,3,6,7}:{(93,1),(109,1),(122,1),(164,1),(165,1),(169,1),(177,1),(209,1),(229,1)}
       132:{1,2,5,7}:{(94,1),(95,1),(110,1),(123,1),(165,1)}
       133:{1,2,3,5}:{(96,1),(97,1),(156,1),(166,1),(205,1)}
       134:{2,3,4}:{(96,1),(166,1)}
       135:{1,3,4}:{(97,1),(166,1)}
       136:{2,4,6}:{(98,1),(101,1),(167,1),(168,1)}
       137:{2,3,5,7}:{(98,1),(99,1),(102,1),(158,1),(168,1),(169,1),(213,1)}
       138:{1,2,6,7}:{(99,1),(100,1),(169,1),(229,1)}
       139:{3,4,5}:{(101,1),(107,1),(161,1),(167,1)}
       140:{3,4,7}:{(101,1),(102,1),(108,1),(168,1)}
       141:{3,6,7}:{(102,1),(103,1),(209,1)}
       142:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(172,1),(174,1),(211,1),(213,1)}
       143:{1,4,5,7}:{(107,1),(108,1),(110,1),(170,1),(173,1),(174,1)}
       144:{1,4,6,7}:{(108,1),(109,1),(171,1),(173,1),(174,1)}
       145:{1,3,6}:{(110,1),(165,1),(173,1),(209,1)}
       146:{1,4,6}:{(111,1),(114,1),(175,1),(176,1)}
       147:{1,3,5,7}:{(111,1),(112,1),(115,1),(160,1),(176,1),(177,1),(217,1)}
       148:{1,2,6,7}:{(112,1),(113,1),(177,1),(229,1)}
       149:{3,4,5}:{(114,1),(120,1),(161,1),(175,1)}
       150:{3,4,7}:{(114,1),(115,1),(121,1),(176,1)}
       151:{3,6,7}:{(115,1),(116,1),(209,1)}
       152:{1,2,5,6,7}:{(116,1),(117,1),(118,1),(180,1),(182,1),(211,1),(217,1)}
       153:{2,4,5,7}:{(120,1),(121,1),(123,1),(178,1),(181,1),(182,1)}
       154:{2,4,6,7}:{(121,1),(122,1),(179,1),(181,1),(182,1)}
       155:{2,3,6}:{(123,1),(165,1),(181,1),(209,1)}
       156:{1,2,3,6}:{(124,1),(126,1),(133,1),(183,1),(184,1)}
       157:{2,3,4,6}:{(124,1),(128,1),(134,1),(136,1),(183,1),(185,1),(186,1),(221,1)}
       158:{2,3,7}:{(124,1),(125,1)}
       159:{1,3,4,6}:{(126,1),(128,1),(135,1),(146,1),(183,1),(187,1),(188,1),(222,1)}
       160:{1,3,7}:{(126,1),(127,1)}
       161:{3,5}:{(128,1),(129,1)}
       162:{3,4,7}:{(128,1),(130,1),(189,1)}
       163:{1,2,4,5,7}:{(129,1),(130,1),(132,1),(143,1),(153,1),(189,1),(191,1),(192,1),(193,1),(199,1),(220,1),(224,1)}
       164:{1,2,4,6,7}:{(130,1),(131,1),(144,1),(154,1),(190,1),(191,1),(192,1),(194,1),(200,1)}
       165:{1,2,6}:{(132,1),(145,1),(155,1)}
       166:{1,2,4}:{(133,1),(134,1),(135,1)}
       167:{2,4,5}:{(136,1),(139,1),(185,1)}
       168:{2,4,7}:{(136,1),(137,1),(140,1)}
       169:{2,3,6,7}:{(137,1),(138,1),(141,1),(194,1),(221,1)}
       170:{3,4,5,7}:{(139,1),(140,1),(143,1),(189,1),(193,1),(195,1),(196,1),(224,1)}
       171:{3,4,6,7}:{(140,1),(141,1),(144,1),(194,1),(195,1),(196,1),(197,1)}
       172:{3,5,6,7}:{(141,1),(142,1),(196,1),(197,1),(223,1)}
       173:{1,4,6}:{(143,1),(145,1),(195,1),(198,1)}
       174:{1,5,7}:{(144,1),(196,1),(198,1)}
       175:{1,4,5}:{(146,1),(149,1),(187,1)}
       176:{1,4,7}:{(146,1),(147,1),(150,1)}
       177:{1,3,6,7}:{(147,1),(148,1),(151,1),(200,1),(222,1)}
       178:{3,4,5,7}:{(149,1),(150,1),(153,1),(189,1),(199,1),(201,1),(202,1),(224,1)}
       179:{3,4,6,7}:{(150,1),(151,1),(154,1),(200,1),(201,1),(202,1),(203,1)}
       180:{3,5,6,7}:{(151,1),(152,1),(202,1),(203,1),(223,1)}
       181:{2,4,6}:{(153,1),(155,1),(201,1),(204,1)}
       182:{2,5,7}:{(154,1),(202,1),(204,1)}
       183:{1,2,4,6}:{(156,1),(157,1),(159,1),(166,1),(205,1),(206,1),(229,1)}
       184:{1,2,3,7}:{(156,1),(158,1),(160,1),(206,1)}
       185:{2,3,5}:{(157,1),(161,1),(167,1),(205,1)}
       186:{2,3,4,7}:{(157,1),(158,1),(162,1),(168,1),(206,1),(207,1)}
       187:{1,3,5}:{(159,1),(161,1),(175,1),(205,1)}
       188:{1,3,4,7}:{(159,1),(160,1),(162,1),(176,1),(206,1),(208,1)}
       189:{3,5,7}:{(161,1),(162,1),(163,1),(209,1)}
       190:{3,4,6,7}:{(162,1),(164,1),(209,1),(210,1),(230,1)}
       191:{1,2,4,6}:{(163,1),(165,1),(173,1),(181,1),(209,1),(211,1),(212,1),(216,1),(229,1),(230,1)}
       192:{1,2,5,7}:{(164,1),(174,1),(182,1),(210,1),(211,1),(213,1),(217,1)}
       193:{2,4,5,7}:{(167,1),(168,1),(170,1),(207,1),(212,1),(213,1)}
       194:{2,4,6,7}:{(168,1),(169,1),(171,1),(212,1),(213,1)}
       195:{3,4,6}:{(170,1),(173,1),(209,1),(212,1),(214,1),(230,1)}
       196:{3,5,7}:{(171,1),(174,1),(213,1),(214,1),(215,1)}
       197:{4,6,7}:{(172,1),(215,1),(230,1)}
       198:{1,5,6}:{(173,1),(174,1),(214,1)}
       199:{1,4,5,7}:{(175,1),(176,1),(178,1),(208,1),(216,1),(217,1)}
       200:{1,4,6,7}:{(176,1),(177,1),(179,1),(216,1),(217,1)}
       201:{3,4,6}:{(178,1),(181,1),(209,1),(216,1),(218,1),(230,1)}
       202:{3,5,7}:{(179,1),(182,1),(217,1),(218,1),(219,1)}
       203:{4,6,7}:{(180,1),(219,1),(230,1)}
       204:{2,5,6}:{(181,1),(182,1),(218,1)}
       205:{1,2,5}:{(183,1),(185,1),(187,1)}
       206:{1,2,4,7}:{(183,1),(184,1),(186,1),(188,1),(220,1)}
       207:{2,3,5,7}:{(185,1),(186,1),(189,1),(193,1),(220,1),(221,1)}
       208:{1,3,5,7}:{(187,1),(188,1),(189,1),(199,1),(220,1),(222,1)}
       209:{3,6}:{(189,1),(191,1)}
       210:{3,5,7}:{(190,1),(192,1),(223,1),(224,1)}
       211:{1,2,5,6}:{(191,1),(192,1),(198,1),(204,1),(223,1),(225,1),(227,1)}
       212:{2,4,6}:{(193,1),(195,1),(221,1),(225,1)}
       213:{2,5,7}:{(194,1),(196,1),(225,1)}
       214:{3,5,6}:{(195,1),(196,1),(198,1),(225,1),(226,1)}
       215:{4,5,7}:{(196,1),(197,1),(226,1)}
       216:{1,4,6}:{(199,1),(201,1),(222,1),(227,1)}
       217:{1,5,7}:{(200,1),(202,1),(227,1)}
       218:{3,5,6}:{(201,1),(202,1),(204,1),(227,1),(228,1)}
       219:{4,5,7}:{(202,1),(203,1),(228,1)}
       220:{1,2,5,7}:{(205,1),(206,1),(207,1),(208,1),(229,1)}
       221:{2,3,6}:{(207,1),(209,1),(212,1),(229,1)}
       222:{1,3,6}:{(208,1),(209,1),(216,1),(229,1)}
       223:{3,5,6}:{(209,1),(210,1),(211,1),(230,1)}
       224:{4,5,7}:{(210,1),(230,1)}
       225:{2,5,6}:{(212,1),(213,1),(214,1)}
       226:{4,5,6}:{(214,1),(215,1),(230,1)}
       227:{1,5,6}:{(216,1),(217,1),(218,1)}
       228:{4,5,6}:{(218,1),(219,1),(230,1)}
       229:{1,2,6}:{(220,1),(221,1),(222,1)}
       230:{4,6}:{(223,1),(224,1)}

1241 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(15,1),(19,1),(42,1),(46,1),(77,1),(78,1),(79,1),(99,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(66,1),(67,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(29,1),(30,1),(34,1),(66,1),(67,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(65,1),(90,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(12,1),(16,1),(47,1),(96,1)}
         5:{3,4,6}:{(3,1),(11,1),(13,1),(14,1),(15,1),(51,1),(81,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(16,1),(48,1),(49,1),(52,1),(79,1)}
         7:{3,5,7}:{(2,1),(3,1),(13,1),(16,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(39,1),(51,1),(55,1),(73,1),(77,1),(84,1),(96,1),(99,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(20,1),(51,1),(53,1),(75,1),(78,1),(94,1),(96,1),(103,1)}
        10:{2,3,4,6}:{(15,1),(20,1),(21,1),(22,1),(51,1),(53,1),(81,1),(97,1)}
        11:{3,4,5}:{(5,1),(25,1),(26,1),(65,1),(102,1)}
        12:{4,6,7}:{(4,1),(27,1),(101,1)}
        13:{3,4,7}:{(5,1),(7,1),(29,1),(30,1),(69,1)}
        14:{1,4,6}:{(5,1),(8,1),(25,1),(29,1),(72,1),(101,1)}
        15:{2,4,6}:{(5,1),(9,1),(26,1),(30,1),(88,1),(101,1)}
        16:{3,6,7}:{(6,1),(7,1),(90,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(29,1),(32,1),(34,1),(66,1),(69,1),(92,1)}
        18:{2,3,5,7}:{(7,1),(9,1),(30,1),(33,1),(34,1),(67,1),(69,1),(92,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(36,1),(58,1),(70,1),(86,1)}
        20:{2,3,5}:{(10,1),(26,1),(36,1),(65,1),(102,1)}
        21:{2,3,4,7}:{(10,1),(30,1),(35,1),(37,1),(69,1),(91,1)}
        22:{1,2,4,6}:{(10,1),(36,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        23:{1,3,4,6}:{(14,1),(39,1),(40,1),(41,1),(51,1),(73,1),(81,1),(97,1)}
        24:{3,4,5,7}:{(11,1),(13,1),(43,1),(44,1),(45,1),(47,1),(80,1),(98,1),(104,1)}
        25:{1,4,5}:{(11,1),(14,1),(39,1),(99,1),(104,1)}
        26:{2,4,5}:{(11,1),(15,1),(20,1),(103,1),(104,1)}
        27:{4,5,7}:{(12,1),(42,1),(47,1),(98,1),(104,1)}
        28:{3,4,6,7}:{(12,1),(13,1),(16,1),(43,1),(47,1),(48,1),(49,1),(83,1),(97,1),(98,1)}
        29:{1,4,7}:{(13,1),(14,1),(17,1),(98,1)}
        30:{2,4,7}:{(13,1),(15,1),(18,1),(98,1)}
        31:{1,2,4,6}:{(14,1),(15,1),(19,1),(46,1),(50,1),(51,1)}
        32:{1,3,6,7}:{(16,1),(17,1),(48,1),(52,1),(73,1),(83,1),(84,1)}
        33:{2,3,6,7}:{(16,1),(18,1),(49,1),(52,1),(53,1),(83,1),(94,1)}
        34:{1,2,5,7}:{(17,1),(18,1),(19,1),(50,1),(52,1)}
        35:{2,3,5,7}:{(20,1),(21,1),(45,1),(53,1),(54,1),(80,1)}
        36:{1,2,5}:{(20,1),(22,1),(55,1),(99,1)}
        37:{1,2,4,7}:{(21,1),(22,1),(54,1),(56,1),(85,1)}
        38:{1,3,6}:{(22,1),(51,1),(55,1),(56,1)}
        39:{1,3,5}:{(23,1),(25,1),(58,1),(65,1),(102,1)}
        40:{1,3,4,7}:{(23,1),(29,1),(57,1),(59,1),(69,1),(91,1)}
        41:{1,2,4,6}:{(23,1),(58,1),(59,1),(60,1),(86,1),(88,1),(100,1)}
        42:{4,5,6}:{(27,1),(61,1),(101,1)}
        43:{3,4,6}:{(24,1),(61,1),(62,1),(63,1),(90,1),(101,1)}
        44:{1,4,5,7}:{(24,1),(25,1),(29,1),(57,1),(62,1),(66,1)}
        45:{2,4,5,7}:{(24,1),(26,1),(30,1),(35,1),(63,1),(67,1)}
        46:{1,2,4,5}:{(25,1),(26,1),(31,1),(36,1),(58,1),(65,1),(72,1),(88,1)}
        47:{3,5,7}:{(27,1),(28,1),(61,1),(66,1),(67,1),(102,1)}
        48:{1,4,6,7}:{(28,1),(29,1),(32,1),(62,1),(66,1),(93,1)}
        49:{2,4,6,7}:{(28,1),(30,1),(33,1),(63,1),(67,1),(100,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(69,1)}
        51:{3,6}:{(31,1),(65,1),(69,1)}
        52:{1,2,6,7}:{(32,1),(33,1),(34,1),(70,1),(86,1)}
        53:{2,3,6}:{(35,1),(63,1),(70,1),(90,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(37,1),(70,1),(71,1)}
        55:{1,3,5}:{(36,1),(38,1),(65,1),(72,1)}
        56:{1,3,7}:{(37,1),(38,1),(69,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(44,1),(73,1),(74,1),(80,1)}
        58:{1,2,5}:{(39,1),(41,1),(75,1),(103,1)}
        59:{1,2,4,7}:{(40,1),(41,1),(74,1),(76,1),(95,1)}
        60:{2,3,6}:{(41,1),(51,1),(75,1),(76,1)}
        61:{3,5,6}:{(42,1),(43,1),(47,1),(77,1),(78,1)}
        62:{1,4,6}:{(43,1),(44,1),(73,1),(77,1)}
        63:{2,4,6}:{(43,1),(45,1),(53,1),(78,1)}
        64:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(54,1),(74,1),(79,1),(80,1),(82,1),(85,1),(95,1),(98,1),(99,1),(103,1),(104,1)}
        65:{3,5}:{(46,1),(51,1),(81,1)}
        66:{1,5,7}:{(47,1),(48,1),(77,1),(99,1)}
        67:{2,5,7}:{(47,1),(49,1),(78,1),(103,1)}
        68:{1,2,4,6,7}:{(48,1),(49,1),(50,1),(52,1),(79,1),(82,1),(83,1),(98,1)}
        69:{3,7}:{(50,1),(51,1)}
        70:{1,2,6}:{(53,1),(54,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(56,1),(80,1),(84,1),(85,1),(99,1)}
        72:{1,4}:{(55,1),(81,1)}
        73:{1,3,6}:{(57,1),(62,1),(86,1),(90,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(86,1),(87,1)}
        75:{2,3,5}:{(58,1),(60,1),(65,1),(88,1)}
        76:{2,3,7}:{(59,1),(60,1),(69,1)}
        77:{1,5,6}:{(61,1),(62,1),(66,1)}
        78:{2,5,6}:{(61,1),(63,1),(67,1)}
        79:{1,2,4,6}:{(62,1),(63,1),(64,1),(70,1),(86,1),(89,1),(90,1),(93,1),(100,1),(101,1)}
        80:{3,5,7}:{(64,1),(65,1),(69,1),(90,1),(91,1),(102,1)}
        81:{3,4}:{(65,1),(72,1),(88,1)}
        82:{1,2,5,7}:{(66,1),(67,1),(68,1),(89,1),(92,1)}
        83:{3,6,7}:{(68,1),(69,1),(90,1),(92,1)}
        84:{1,3,6}:{(70,1),(71,1),(90,1),(93,1)}
        85:{1,4,7}:{(71,1),(72,1),(91,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(80,1),(94,1),(95,1),(103,1)}
        88:{2,4}:{(75,1),(81,1)}
        89:{1,2,5,6}:{(77,1),(78,1),(79,1),(82,1),(96,1),(99,1),(103,1)}
        90:{3,6}:{(79,1),(80,1)}
        91:{3,4,7}:{(80,1),(81,1),(85,1),(95,1),(97,1),(98,1)}
        92:{3,5,7}:{(82,1),(83,1),(96,1),(98,1)}
        93:{1,4,6}:{(84,1),(85,1),(97,1),(99,1)}
        94:{2,3,6}:{(86,1),(87,1),(90,1),(100,1)}
        95:{2,4,7}:{(87,1),(88,1),(91,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(92,1),(101,1),(102,1)}
        97:{3,4,6}:{(90,1),(91,1),(93,1),(100,1),(101,1),(102,1)}
        98:{4,7}:{(92,1),(101,1)}
        99:{1,5}:{(93,1),(102,1)}
       100:{2,4,6}:{(94,1),(95,1),(97,1),(103,1)}
       101:{4,6}:{(96,1),(98,1),(104,1)}
       102:{3,5}:{(97,1),(99,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1242 :   0:{4,5,6,7}:{(3,1),(58,1),(226,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(6,1),(29,1),(107,1),(171,1),(210,1)}
         2:{1,3,4,5}:{(7,1),(8,1),(65,1),(70,1),(120,1)}
         3:{3,5,6,7}:{(0,1),(9,1),(10,1),(11,1),(221,1)}
         4:{3,4,5,7}:{(1,1),(9,1),(12,1),(13,1),(43,1),(80,1)}
         5:{1,4,5,6}:{(1,1),(12,1),(14,1),(149,1),(197,1)}
         6:{2,4,5,6}:{(1,1),(13,1),(15,1),(185,1),(216,1)}
         7:{1,3,4,6}:{(2,1),(14,1),(17,1),(18,1),(46,1)}
         8:{1,2,4,5}:{(2,1),(18,1),(19,1),(50,1),(86,1),(92,1)}
         9:{3,4,6,7}:{(3,1),(4,1),(21,1),(22,1),(57,1),(58,1),(210,1)}
        10:{1,5,6,7}:{(3,1),(21,1),(213,1)}
        11:{2,5,6,7}:{(3,1),(22,1),(224,1)}
        12:{1,4,5,7}:{(4,1),(5,1),(21,1),(24,1)}
        13:{2,4,5,7}:{(4,1),(6,1),(22,1),(25,1)}
        14:{1,3,5,6}:{(5,1),(7,1),(24,1),(27,1),(29,1),(120,1),(175,1)}
        15:{2,3,5,6}:{(6,1),(20,1),(25,1),(28,1),(29,1),(159,1),(203,1)}
        16:{1,2,4,5,6}:{(5,1),(6,1),(26,1),(27,1),(28,1),(29,1),(63,1),(64,1),(107,1),(113,1),(164,1),(165,1),(168,1)}
        17:{1,3,4,7}:{(7,1),(24,1),(30,1),(61,1)}
        18:{1,2,4,6}:{(7,1),(8,1),(27,1),(30,1),(31,1),(63,1)}
        19:{2,3,5}:{(8,1),(31,1),(33,1)}
        20:{2,3,4,6}:{(15,1),(34,1),(35,1),(36,1),(46,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(12,1),(37,1),(197,1)}
        22:{2,4,6,7}:{(9,1),(11,1),(13,1),(38,1),(216,1)}
        23:{1,2,5,6,7}:{(10,1),(11,1),(39,1),(40,1),(133,1),(134,1),(189,1)}
        24:{1,3,5,7}:{(12,1),(14,1),(17,1),(37,1),(41,1),(43,1)}
        25:{2,3,5,7}:{(13,1),(15,1),(35,1),(38,1),(42,1),(43,1)}
        26:{1,2,4,5,7}:{(12,1),(13,1),(16,1),(39,1),(41,1),(42,1),(43,1),(80,1),(82,1),(83,1),(133,1),(134,1)}
        27:{1,2,5,6}:{(14,1),(18,1),(41,1),(44,1),(92,1),(147,1)}
        28:{1,2,5,6}:{(15,1),(36,1),(42,1),(45,1),(130,1),(183,1)}
        29:{3,5,6}:{(16,1),(43,1),(46,1),(142,1),(193,1)}
        30:{1,2,4,7}:{(17,1),(18,1),(41,1),(47,1),(82,1)}
        31:{2,3,6}:{(18,1),(19,1),(47,1)}
        32:{1,2,3,5}:{(19,1),(48,1),(50,1),(92,1),(94,1)}
        33:{2,3,4}:{(19,1),(50,1)}
        34:{2,3,4,5}:{(20,1),(52,1),(65,1),(153,1),(159,1)}
        35:{2,3,4,7}:{(20,1),(25,1),(53,1),(61,1)}
        36:{1,2,4,6}:{(20,1),(28,1),(52,1),(53,1),(54,1),(64,1)}
        37:{1,3,6,7}:{(21,1),(24,1),(55,1),(57,1),(175,1)}
        38:{2,3,6,7}:{(22,1),(25,1),(56,1),(57,1),(203,1)}
        39:{1,2,4,6,7}:{(21,1),(22,1),(23,1),(26,1),(55,1),(56,1),(57,1),(58,1),(104,1),(105,1),(168,1)}
        40:{3,5,6,7}:{(23,1),(57,1),(58,1),(106,1),(208,1)}
        41:{1,2,5,7}:{(24,1),(27,1),(30,1),(55,1),(59,1)}
        42:{1,2,5,7}:{(25,1),(28,1),(53,1),(56,1),(60,1)}
        43:{3,5,7}:{(26,1),(29,1),(57,1),(61,1)}
        44:{2,3,5,6}:{(27,1),(29,1),(31,1),(59,1),(63,1),(69,1),(119,1),(164,1)}
        45:{1,3,5,6}:{(28,1),(29,1),(54,1),(60,1),(64,1),(102,1),(158,1),(165,1)}
        46:{3,4,6}:{(29,1),(61,1),(63,1),(64,1),(65,1)}
        47:{2,3,7}:{(30,1),(31,1)}
        48:{1,2,3,6}:{(31,1),(32,1),(66,1),(68,1),(123,1)}
        49:{2,3,4,6}:{(31,1),(33,1),(63,1),(67,1),(68,1),(69,1),(112,1),(119,1)}
        50:{1,2,4}:{(32,1),(33,1),(70,1)}
        51:{2,3,4,5}:{(33,1),(69,1),(71,1),(72,1),(171,1)}
        52:{1,2,4,5}:{(34,1),(36,1),(73,1),(87,1),(125,1),(130,1)}
        53:{1,2,4,7}:{(35,1),(36,1),(42,1),(74,1),(83,1)}
        54:{1,3,6}:{(36,1),(73,1),(74,1)}
        55:{1,2,6,7}:{(37,1),(41,1),(77,1),(147,1)}
        56:{1,2,6,7}:{(38,1),(42,1),(78,1),(183,1)}
        57:{3,6,7}:{(39,1),(43,1),(193,1)}
        58:{4,6,7}:{(40,1),(80,1),(219,1)}
        59:{2,3,5,7}:{(41,1),(43,1),(44,1),(47,1),(77,1),(82,1),(133,1)}
        60:{1,3,5,7}:{(42,1),(43,1),(45,1),(74,1),(78,1),(83,1),(134,1)}
        61:{3,4,7}:{(43,1),(46,1),(82,1),(83,1)}
        62:{1,2,3,5,6}:{(44,1),(45,1),(48,1),(75,1),(81,1),(85,1),(92,1),(130,1),(142,1),(147,1),(150,1),(183,1),(186,1),(189,1),(193,1)}
        63:{2,4,6}:{(44,1),(46,1),(82,1),(86,1)}
        64:{1,4,6}:{(45,1),(46,1),(83,1),(87,1)}
        65:{3,4,5}:{(46,1),(86,1),(87,1),(142,1)}
        66:{1,2,3,7}:{(47,1),(48,1),(89,1),(152,1)}
        67:{2,3,4,7}:{(47,1),(49,1),(82,1),(89,1),(90,1),(137,1)}
        68:{1,2,4,6}:{(48,1),(49,1),(50,1),(89,1),(91,1),(92,1),(147,1)}
        69:{2,3,5}:{(49,1),(86,1),(92,1),(142,1)}
        70:{1,3,4}:{(50,1),(94,1)}
        71:{1,2,4,5}:{(50,1),(51,1),(92,1),(94,1),(95,1),(149,1)}
        72:{2,3,4,6}:{(51,1),(93,1),(95,1),(96,1),(195,1)}
        73:{1,3,5}:{(52,1),(54,1),(98,1)}
        74:{1,3,7}:{(53,1),(54,1)}
        75:{1,2,3,6}:{(54,1),(97,1),(99,1),(101,1),(200,1)}
        76:{1,3,4,6}:{(54,1),(64,1),(98,1),(100,1),(101,1),(102,1),(112,1),(158,1)}
        77:{2,3,6,7}:{(55,1),(57,1),(59,1),(104,1),(119,1)}
        78:{1,3,6,7}:{(56,1),(57,1),(60,1),(105,1),(158,1)}
        79:{3,4,6,7}:{(57,1),(58,1),(61,1),(104,1),(105,1),(106,1),(111,1)}
        80:{4,5,7}:{(58,1),(106,1),(107,1)}
        81:{1,2,3,5,7}:{(59,1),(60,1),(62,1),(66,1),(99,1),(103,1),(108,1),(118,1),(157,1),(163,1),(167,1),(178,1),(206,1)}
        82:{2,4,7}:{(59,1),(61,1),(63,1)}
        83:{1,4,7}:{(60,1),(61,1),(64,1)}
        84:{3,4,5,7}:{(61,1),(65,1),(106,1),(109,1),(110,1),(111,1),(167,1),(207,1)}
        85:{1,2,4,6}:{(62,1),(63,1),(64,1),(108,1),(112,1),(113,1),(177,1),(205,1)}
        86:{2,4,5}:{(63,1),(65,1),(69,1)}
        87:{1,4,5}:{(64,1),(65,1),(102,1)}
        88:{3,4,5,6}:{(65,1),(111,1),(114,1),(115,1),(116,1),(172,1),(226,1)}
        89:{1,2,4,7}:{(66,1),(67,1),(68,1),(117,1),(118,1)}
        90:{2,3,5,7}:{(67,1),(69,1),(109,1),(118,1),(119,1),(167,1)}
        91:{1,3,4,6}:{(68,1),(70,1),(112,1),(117,1),(120,1),(123,1),(175,1),(177,1)}
        92:{1,2,5}:{(68,1),(69,1),(120,1)}
        93:{2,3,5,6}:{(69,1),(72,1),(114,1),(119,1),(121,1),(122,1),(172,1)}
        94:{1,3,5}:{(70,1),(71,1),(123,1)}
        95:{1,2,4,6}:{(71,1),(72,1),(121,1),(123,1),(124,1),(177,1)}
        96:{2,3,4,7}:{(72,1),(122,1),(124,1),(212,1)}
        97:{1,2,3,5}:{(73,1),(75,1),(125,1),(130,1),(179,1)}
        98:{1,3,4}:{(73,1),(125,1)}
        99:{1,2,3,7}:{(74,1),(75,1),(127,1),(215,1)}
       100:{1,3,4,7}:{(74,1),(76,1),(83,1),(127,1),(128,1),(137,1)}
       101:{1,2,4,6}:{(75,1),(76,1),(125,1),(127,1),(129,1),(130,1),(183,1)}
       102:{1,3,5}:{(76,1),(87,1),(130,1),(142,1)}
       103:{1,2,3,6,7}:{(77,1),(78,1),(81,1),(132,1),(147,1),(183,1),(193,1),(198,1),(217,1)}
       104:{2,4,6,7}:{(77,1),(79,1),(82,1),(133,1),(139,1)}
       105:{1,4,6,7}:{(78,1),(79,1),(83,1),(134,1),(140,1)}
       106:{3,5,7}:{(79,1),(80,1),(133,1),(134,1),(135,1)}
       107:{4,5,6}:{(80,1),(135,1),(219,1)}
       108:{1,2,4,7}:{(81,1),(82,1),(83,1),(85,1),(137,1),(199,1),(218,1)}
       109:{2,4,5,7}:{(82,1),(84,1),(86,1),(90,1),(133,1),(139,1)}
       110:{1,4,5,7}:{(83,1),(84,1),(87,1),(128,1),(134,1),(140,1)}
       111:{3,4,6}:{(84,1),(135,1),(139,1),(140,1),(193,1),(219,1)}
       112:{3,4,6}:{(85,1),(137,1),(142,1),(193,1)}
       113:{1,2,4,5}:{(85,1),(86,1),(87,1),(92,1),(130,1),(142,1),(149,1),(185,1)}
       114:{2,4,5,6}:{(86,1),(88,1),(93,1),(139,1),(144,1)}
       115:{1,4,5,6}:{(87,1),(88,1),(131,1),(140,1),(145,1)}
       116:{3,4,5,7}:{(88,1),(141,1),(144,1),(145,1),(196,1),(230,1)}
       117:{1,3,4,7}:{(89,1),(91,1),(137,1),(146,1),(152,1),(199,1)}
       118:{1,2,5,7}:{(89,1),(90,1),(92,1),(146,1),(147,1)}
       119:{2,3,6}:{(90,1),(139,1),(147,1),(193,1)}
       120:{1,3,5}:{(91,1),(92,1),(142,1),(149,1)}
       121:{1,2,5,6}:{(92,1),(93,1),(95,1),(147,1),(150,1),(151,1)}
       122:{2,3,5,7}:{(93,1),(96,1),(144,1),(148,1),(151,1),(196,1)}
       123:{1,3,6}:{(94,1),(95,1),(152,1)}
       124:{1,2,4,7}:{(95,1),(96,1),(151,1),(152,1),(199,1)}
       125:{1,2,4}:{(97,1),(98,1),(153,1)}
       126:{1,3,4,5}:{(98,1),(102,1),(154,1),(155,1),(171,1)}
       127:{1,2,4,7}:{(99,1),(100,1),(101,1),(156,1),(157,1)}
       128:{1,3,5,7}:{(100,1),(102,1),(110,1),(157,1),(158,1),(167,1)}
       129:{2,3,4,6}:{(101,1),(112,1),(153,1),(156,1),(159,1),(200,1),(203,1),(205,1)}
       130:{1,2,5}:{(101,1),(102,1),(159,1)}
       131:{1,3,5,6}:{(102,1),(115,1),(155,1),(158,1),(160,1),(161,1),(172,1)}
       132:{1,2,4,6,7}:{(103,1),(104,1),(105,1),(108,1),(162,1),(163,1),(168,1),(214,1),(225,1)}
       133:{2,5,7}:{(104,1),(106,1),(164,1)}
       134:{1,5,7}:{(105,1),(106,1),(165,1)}
       135:{3,5,6}:{(106,1),(107,1),(111,1),(164,1),(165,1)}
       136:{4,5,6,7}:{(107,1),(166,1),(227,1)}
       137:{3,4,7}:{(108,1),(112,1),(167,1)}
       138:{1,2,4,5,7}:{(108,1),(109,1),(110,1),(113,1),(118,1),(157,1),(163,1),(167,1),(168,1),(174,1),(202,1),(207,1)}
       139:{2,4,6}:{(109,1),(111,1),(119,1),(164,1)}
       140:{1,4,6}:{(110,1),(111,1),(158,1),(165,1)}
       141:{3,4,6,7}:{(111,1),(116,1),(166,1),(169,1),(170,1),(211,1),(227,1)}
       142:{3,5}:{(112,1),(113,1)}
       143:{1,2,4,5,6}:{(113,1),(114,1),(115,1),(121,1),(160,1),(168,1),(172,1),(173,1),(177,1),(205,1),(213,1),(224,1),(226,1)}
       144:{2,4,5,7}:{(114,1),(116,1),(122,1),(169,1)}
       145:{1,4,5,7}:{(115,1),(116,1),(161,1),(170,1)}
       146:{1,3,5,7}:{(117,1),(118,1),(120,1),(167,1),(174,1),(175,1)}
       147:{1,2,6}:{(118,1),(119,1),(175,1)}
       148:{2,3,6,7}:{(119,1),(122,1),(169,1),(176,1),(211,1)}
       149:{1,4,5}:{(120,1),(171,1),(177,1)}
       150:{1,3,5,6}:{(120,1),(121,1),(123,1),(172,1),(175,1),(177,1),(178,1),(213,1)}
       151:{1,2,5,7}:{(121,1),(122,1),(124,1),(176,1),(178,1)}
       152:{1,3,7}:{(123,1),(124,1)}
       153:{2,3,4}:{(125,1),(179,1)}
       154:{1,2,4,5}:{(125,1),(126,1),(130,1),(179,1),(180,1),(185,1)}
       155:{1,3,4,6}:{(126,1),(131,1),(180,1),(181,1),(195,1)}
       156:{2,3,4,7}:{(127,1),(129,1),(137,1),(182,1),(215,1),(218,1)}
       157:{1,2,5,7}:{(127,1),(128,1),(130,1),(182,1),(183,1)}
       158:{1,3,6}:{(128,1),(140,1),(183,1),(193,1)}
       159:{2,3,5}:{(129,1),(130,1),(142,1),(185,1)}
       160:{1,2,5,6}:{(130,1),(131,1),(180,1),(183,1),(186,1),(187,1)}
       161:{1,3,5,7}:{(131,1),(145,1),(181,1),(184,1),(187,1),(196,1)}
       162:{3,4,6,7}:{(132,1),(137,1),(188,1),(193,1),(219,1)}
       163:{1,2,5,7}:{(132,1),(133,1),(134,1),(188,1),(189,1),(223,1),(229,1)}
       164:{2,5,6}:{(133,1),(135,1),(139,1)}
       165:{1,5,6}:{(134,1),(135,1),(140,1)}
       166:{3,5,6,7}:{(135,1),(136,1),(141,1),(190,1),(191,1)}
       167:{3,5,7}:{(137,1),(138,1),(142,1),(193,1)}
       168:{1,2,4,6}:{(138,1),(139,1),(140,1),(147,1),(183,1),(189,1),(193,1),(197,1),(216,1),(219,1)}
       169:{2,4,6,7}:{(139,1),(141,1),(144,1),(148,1),(190,1)}
       170:{1,4,6,7}:{(140,1),(141,1),(145,1),(184,1),(191,1)}
       171:{3,4,5}:{(142,1),(149,1),(185,1),(195,1)}
       172:{3,5,6}:{(142,1),(143,1),(193,1),(195,1),(196,1)}
       173:{1,2,4,5,7}:{(143,1),(144,1),(145,1),(151,1),(187,1),(194,1),(196,1),(199,1),(218,1),(223,1),(229,1),(230,1)}
       174:{1,4,5,7}:{(146,1),(149,1),(192,1),(197,1),(199,1),(223,1)}
       175:{1,3,6}:{(146,1),(147,1),(193,1),(197,1)}
       176:{1,2,6,7}:{(147,1),(148,1),(151,1),(198,1)}
       177:{1,4,6}:{(149,1),(150,1),(195,1),(199,1)}
       178:{1,3,5,7}:{(150,1),(151,1),(152,1),(196,1),(198,1),(199,1),(223,1)}
       179:{2,3,5}:{(153,1),(154,1),(200,1)}
       180:{1,2,4,6}:{(154,1),(155,1),(160,1),(200,1),(201,1),(205,1)}
       181:{1,3,4,7}:{(155,1),(161,1),(201,1),(212,1)}
       182:{2,3,5,7}:{(156,1),(157,1),(159,1),(167,1),(202,1),(203,1)}
       183:{1,2,6}:{(157,1),(158,1),(203,1)}
       184:{1,3,6,7}:{(158,1),(161,1),(170,1),(204,1),(211,1)}
       185:{2,4,5}:{(159,1),(171,1),(205,1)}
       186:{2,3,5,6}:{(159,1),(160,1),(172,1),(200,1),(203,1),(205,1),(206,1),(224,1)}
       187:{1,2,5,7}:{(160,1),(161,1),(201,1),(204,1),(206,1)}
       188:{3,5,7}:{(162,1),(163,1),(207,1),(208,1)}
       189:{1,2,5,6}:{(163,1),(164,1),(165,1),(168,1),(208,1),(213,1),(224,1)}
       190:{2,5,6,7}:{(164,1),(166,1),(169,1)}
       191:{1,5,6,7}:{(165,1),(166,1),(170,1)}
       192:{3,4,5,7}:{(167,1),(171,1),(174,1),(202,1),(207,1),(210,1),(212,1),(228,1)}
       193:{3,6}:{(167,1),(168,1)}
       194:{1,2,4,6,7}:{(168,1),(169,1),(170,1),(173,1),(176,1),(204,1),(209,1),(211,1),(214,1),(225,1),(227,1)}
       195:{3,4,6}:{(171,1),(172,1),(177,1),(205,1),(212,1)}
       196:{3,5,7}:{(172,1),(173,1),(211,1),(212,1)}
       197:{1,4,6}:{(174,1),(175,1),(210,1),(213,1)}
       198:{1,3,6,7}:{(175,1),(176,1),(178,1),(211,1),(214,1)}
       199:{1,4,7}:{(177,1),(178,1),(212,1)}
       200:{2,3,6}:{(179,1),(180,1),(215,1)}
       201:{1,2,4,7}:{(180,1),(181,1),(187,1),(215,1),(218,1)}
       202:{2,4,5,7}:{(182,1),(185,1),(192,1),(216,1),(218,1),(229,1)}
       203:{2,3,6}:{(182,1),(183,1),(193,1),(216,1)}
       204:{1,2,6,7}:{(183,1),(184,1),(187,1),(217,1)}
       205:{2,4,6}:{(185,1),(186,1),(195,1),(218,1)}
       206:{2,3,5,7}:{(186,1),(187,1),(196,1),(215,1),(217,1),(218,1),(229,1)}
       207:{4,5,7}:{(188,1),(219,1)}
       208:{3,5,6}:{(188,1),(189,1),(193,1),(219,1)}
       209:{1,2,5,6,7}:{(189,1),(190,1),(191,1),(194,1),(220,1),(223,1),(229,1)}
       210:{3,4,6}:{(192,1),(193,1),(197,1),(216,1),(219,1),(221,1)}
       211:{3,6,7}:{(193,1),(194,1),(196,1)}
       212:{3,4,7}:{(195,1),(196,1),(199,1),(218,1)}
       213:{1,5,6}:{(197,1),(221,1),(223,1)}
       214:{1,4,6,7}:{(197,1),(198,1),(199,1),(222,1),(223,1)}
       215:{2,3,7}:{(200,1),(201,1)}
       216:{2,4,6}:{(202,1),(203,1),(210,1),(224,1)}
       217:{2,3,6,7}:{(203,1),(204,1),(206,1),(211,1),(225,1)}
       218:{2,4,7}:{(205,1),(206,1),(212,1)}
       219:{4,6}:{(207,1),(208,1)}
       220:{3,5,6,7}:{(208,1),(209,1),(211,1),(227,1),(228,1)}
       221:{3,5,6}:{(210,1),(213,1),(224,1),(226,1),(228,1)}
       222:{3,4,6,7}:{(210,1),(211,1),(212,1),(214,1),(225,1),(227,1),(228,1)}
       223:{1,5,7}:{(213,1),(214,1),(228,1)}
       224:{2,5,6}:{(216,1),(221,1),(229,1)}
       225:{2,4,6,7}:{(216,1),(217,1),(218,1),(222,1),(229,1)}
       226:{4,5,6}:{(219,1),(221,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{3,5,7}:{(221,1),(222,1),(223,1),(229,1),(230,1)}
       229:{2,5,7}:{(224,1),(225,1),(228,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

1243 :   0:{1,3,4,5,7}:{(1,1),(2,1),(11,1),(41,1),(81,1),(85,1),(93,1),(124,1),(129,1),(132,1)}
         1:{1,3,4,6}:{(0,1),(6,1),(7,1),(69,1),(151,1),(156,1),(158,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(24,1),(27,1),(59,1),(66,1),(70,1)}
         3:{1,4,5,6,7}:{(9,1),(33,1),(172,1)}
         4:{1,3,4,6,7}:{(1,1),(11,1),(12,1),(33,1),(74,1),(81,1),(121,1)}
         5:{3,4,5,6}:{(10,1),(14,1),(15,1),(47,1),(137,1),(174,1)}
         6:{1,3,5,6}:{(1,1),(11,1),(14,1),(16,1),(47,1),(85,1),(170,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(48,1)}
         8:{2,3,5,7}:{(2,1),(17,1),(18,1),(49,1),(129,1)}
         9:{3,5,6,7}:{(3,1),(19,1),(21,1),(190,1)}
        10:{3,4,5,7}:{(5,1),(19,1),(22,1),(23,1),(58,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(22,1),(24,1),(58,1),(147,1)}
        12:{1,2,4,6,7}:{(4,1),(7,1),(24,1),(25,1),(59,1)}
        13:{1,2,3,5,7}:{(8,1),(26,1),(27,1),(63,1),(66,1)}
        14:{1,4,5,6}:{(5,1),(6,1),(22,1),(109,1),(151,1)}
        15:{2,4,5,6}:{(5,1),(23,1),(28,1),(161,1),(192,1)}
        16:{1,2,5,6}:{(6,1),(7,1),(24,1),(30,1),(66,1)}
        17:{2,3,6}:{(7,1),(8,1),(156,1)}
        18:{2,3,4,7}:{(8,1),(27,1),(31,1),(59,1),(101,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(33,1),(34,1),(74,1),(174,1)}
        20:{1,3,5,6,7}:{(9,1),(11,1),(33,1),(35,1),(74,1),(125,1)}
        21:{2,5,6,7}:{(9,1),(34,1),(202,1)}
        22:{1,4,5,7}:{(10,1),(11,1),(14,1),(33,1)}
        23:{2,4,5,7}:{(10,1),(15,1),(34,1),(37,1)}
        24:{1,2,5,7}:{(11,1),(12,1),(16,1),(39,1)}
        25:{2,3,6,7}:{(12,1),(17,1),(39,1),(74,1)}
        26:{1,2,3,6}:{(13,1),(17,1),(44,1),(86,1)}
        27:{1,2,4,7}:{(13,1),(18,1),(41,1),(44,1)}
        28:{2,3,5,6}:{(15,1),(37,1),(42,1),(46,1),(47,1),(141,1),(177,1)}
        29:{1,2,4,5,6}:{(14,1),(15,1),(16,1),(38,1),(46,1),(47,1),(48,1),(89,1),(92,1),(123,1),(130,1),(170,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(39,1),(47,1),(48,1),(49,1)}
        31:{2,3,4,6}:{(17,1),(18,1),(44,1),(48,1),(49,1),(88,1)}
        32:{2,3,4,5,7}:{(18,1),(45,1),(49,1),(50,1),(82,1),(95,1),(129,1),(137,1),(173,1),(185,1)}
        33:{1,4,6,7}:{(19,1),(20,1),(22,1),(151,1)}
        34:{2,4,6,7}:{(19,1),(21,1),(23,1),(51,1),(192,1)}
        35:{1,2,5,6,7}:{(20,1),(21,1),(24,1),(52,1),(53,1),(103,1),(147,1)}
        36:{1,2,3,6,7}:{(25,1),(26,1),(55,1),(56,1),(96,1),(111,1),(156,1),(194,1),(195,1)}
        37:{2,3,5,7}:{(23,1),(28,1),(51,1),(54,1),(57,1),(58,1)}
        38:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(29,1),(52,1),(57,1),(58,1),(59,1),(98,1),(104,1),(147,1)}
        39:{2,3,5,7}:{(24,1),(25,1),(30,1),(58,1),(59,1)}
        40:{2,3,4,6,7}:{(25,1),(31,1),(56,1),(59,1),(60,1),(97,1),(101,1),(106,1),(156,1)}
        41:{1,3,4,7}:{(27,1),(62,1),(63,1),(101,1),(164,1)}
        42:{2,3,4,6}:{(28,1),(54,1),(61,1),(64,1),(69,1)}
        43:{1,2,3,5,6}:{(26,1),(30,1),(55,1),(65,1),(66,1),(68,1),(103,1),(110,1),(112,1),(115,1),(156,1),(165,1),(166,1),(194,1)}
        44:{1,2,4,6}:{(26,1),(27,1),(31,1),(62,1),(66,1)}
        45:{1,2,4,5,7}:{(27,1),(32,1),(63,1),(66,1),(67,1),(109,1),(117,1),(164,1)}
        46:{1,2,5,6}:{(28,1),(57,1),(64,1),(68,1),(165,1),(194,1)}
        47:{3,5,6}:{(29,1),(58,1),(69,1),(115,1),(156,1)}
        48:{2,4,6}:{(30,1),(59,1),(69,1),(70,1)}
        49:{2,3,5}:{(31,1),(66,1),(70,1),(115,1)}
        50:{2,3,4,6}:{(32,1),(67,1),(71,1),(106,1),(156,1),(163,1),(192,1)}
        51:{2,3,6,7}:{(34,1),(37,1),(73,1),(74,1),(177,1)}
        52:{1,2,4,6,7}:{(33,1),(34,1),(35,1),(38,1),(73,1),(74,1),(75,1),(121,1),(130,1)}
        53:{2,3,5,6,7}:{(35,1),(39,1),(74,1),(75,1),(83,1),(122,1)}
        54:{2,3,4,7}:{(37,1),(42,1),(77,1),(81,1)}
        55:{1,2,3,5,7}:{(36,1),(39,1),(43,1),(78,1),(79,1),(80,1),(126,1),(129,1),(139,1),(176,1),(187,1)}
        56:{1,2,4,6,7}:{(36,1),(40,1),(44,1),(76,1),(78,1),(79,1),(121,1),(130,1),(204,1)}
        57:{1,2,5,7}:{(37,1),(46,1),(73,1),(77,1),(80,1)}
        58:{3,5,7}:{(38,1),(47,1),(74,1),(81,1)}
        59:{2,4,7}:{(39,1),(48,1),(81,1)}
        60:{2,3,5,7}:{(40,1),(49,1),(79,1),(82,1),(83,1),(122,1),(129,1)}
        61:{2,3,4,5}:{(42,1),(84,1),(93,1),(141,1),(181,1)}
        62:{1,3,4,6}:{(41,1),(44,1),(85,1),(86,1),(88,1),(138,1)}
        63:{1,3,5,7}:{(41,1),(45,1),(85,1),(86,1),(129,1)}
        64:{1,2,4,6}:{(42,1),(46,1),(77,1),(84,1),(87,1),(92,1)}
        65:{1,2,4,6}:{(43,1),(48,1),(78,1),(88,1),(89,1),(92,1),(138,1),(183,1)}
        66:{1,2,5}:{(44,1),(49,1),(85,1)}
        67:{1,2,4,6}:{(45,1),(50,1),(86,1),(90,1),(138,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(80,1),(87,1),(92,1),(142,1),(170,1),(178,1)}
        69:{3,4,6}:{(47,1),(48,1),(81,1),(92,1),(93,1)}
        70:{2,4,5}:{(48,1),(49,1),(93,1)}
        71:{2,3,5,6}:{(49,1),(50,1),(90,1),(94,1),(95,1),(143,1),(202,1)}
        72:{2,3,4,6,7}:{(50,1),(91,1),(95,1),(134,1),(179,1),(185,1),(204,1)}
        73:{1,2,6,7}:{(51,1),(57,1),(96,1),(194,1)}
        74:{3,6,7}:{(52,1),(58,1),(156,1)}
        75:{2,4,6,7}:{(53,1),(59,1),(97,1),(98,1),(106,1)}
        76:{1,3,4,6,7}:{(56,1),(62,1),(99,1),(101,1),(111,1),(151,1),(156,1),(164,1),(193,1)}
        77:{1,2,4,7}:{(54,1),(57,1),(64,1),(100,1),(104,1)}
        78:{1,2,4,7}:{(55,1),(59,1),(65,1),(101,1),(104,1),(164,1),(199,1)}
        79:{1,2,5,7}:{(56,1),(60,1),(66,1),(99,1),(103,1),(147,1),(208,1)}
        80:{1,3,5,7}:{(57,1),(58,1),(68,1),(96,1),(100,1),(104,1),(147,1)}
        81:{3,4,7}:{(58,1),(59,1),(69,1),(104,1)}
        82:{2,4,5,7}:{(59,1),(60,1),(70,1),(105,1),(106,1)}
        83:{2,3,5,6}:{(60,1),(103,1),(106,1),(148,1),(156,1)}
        84:{1,2,4,5}:{(61,1),(64,1),(108,1),(118,1),(160,1),(165,1)}
        85:{1,3,5}:{(62,1),(66,1),(109,1),(115,1)}
        86:{1,3,6}:{(63,1),(67,1),(156,1)}
        87:{1,3,6}:{(64,1),(100,1),(108,1)}
        88:{3,4,6}:{(65,1),(101,1),(115,1),(156,1)}
        89:{1,2,4,5}:{(65,1),(66,1),(70,1),(109,1),(115,1),(118,1),(161,1),(165,1)}
        90:{1,2,5,6}:{(66,1),(67,1),(71,1),(110,1),(117,1)}
        91:{1,2,4,6,7}:{(67,1),(72,1),(111,1),(117,1),(164,1)}
        92:{1,4,6}:{(68,1),(69,1),(104,1),(118,1)}
        93:{3,4,5}:{(69,1),(70,1),(115,1),(118,1)}
        94:{2,4,5,6}:{(70,1),(71,1),(106,1),(119,1),(120,1)}
        95:{2,3,5,7}:{(71,1),(72,1),(117,1),(120,1),(168,1),(208,1)}
        96:{1,3,6,7}:{(73,1),(74,1),(80,1),(121,1),(178,1)}
        97:{3,4,6,7}:{(74,1),(75,1),(81,1),(121,1),(122,1),(133,1)}
        98:{2,4,5,7}:{(75,1),(122,1),(123,1)}
        99:{1,3,5,7}:{(76,1),(79,1),(85,1),(124,1),(125,1),(129,1),(203,1)}
       100:{1,3,7}:{(77,1),(87,1)}
       101:{3,4,7}:{(78,1),(88,1),(129,1)}
       102:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(89,1),(124,1),(129,1),(130,1),(132,1),(173,1),(176,1)}
       103:{1,2,5,6}:{(79,1),(83,1),(125,1),(130,1),(170,1),(202,1)}
       104:{1,4,7}:{(80,1),(81,1),(92,1)}
       105:{3,4,5,7}:{(81,1),(82,1),(93,1),(122,1),(129,1),(132,1),(133,1)}
       106:{2,4,6}:{(82,1),(83,1),(133,1)}
       107:{2,3,5,6,7}:{(83,1),(95,1),(131,1),(134,1),(171,1),(179,1)}
       108:{1,3,5}:{(84,1),(87,1),(136,1)}
       109:{1,4,5}:{(85,1),(137,1),(138,1)}
       110:{1,3,5,6}:{(85,1),(86,1),(90,1),(138,1),(139,1),(143,1)}
       111:{1,3,6,7}:{(86,1),(91,1),(139,1),(179,1)}
       112:{1,2,3,6}:{(87,1),(126,1),(135,1),(140,1),(206,1)}
       113:{2,3,4,6}:{(88,1),(127,1),(140,1),(141,1),(177,1),(181,1),(183,1),(206,1)}
       114:{1,3,4,6}:{(87,1),(88,1),(92,1),(128,1),(136,1),(140,1),(142,1),(178,1)}
       115:{3,5}:{(88,1),(89,1)}
       116:{1,2,4,5,6}:{(89,1),(90,1),(94,1),(130,1),(138,1),(143,1),(144,1),(145,1),(172,1),(183,1),(186,1),(202,1)}
       117:{1,2,5,7}:{(90,1),(91,1),(95,1),(139,1)}
       118:{1,4,5}:{(92,1),(93,1),(142,1)}
       119:{3,4,5,6}:{(93,1),(94,1),(133,1),(143,1),(145,1),(146,1)}
       120:{2,4,5,7}:{(94,1),(95,1),(134,1),(146,1)}
       121:{1,4,6,7}:{(96,1),(97,1),(104,1),(147,1),(158,1)}
       122:{3,5,7}:{(97,1),(98,1),(147,1),(148,1)}
       123:{2,4,5,6}:{(98,1),(106,1),(148,1)}
       124:{1,4,5,7}:{(99,1),(109,1),(150,1),(151,1),(164,1)}
       125:{1,3,5,6}:{(99,1),(103,1),(151,1),(156,1),(190,1)}
       126:{1,2,3,7}:{(100,1),(112,1),(153,1),(209,1)}
       127:{2,3,4,7}:{(101,1),(113,1),(153,1),(154,1),(199,1),(209,1)}
       128:{1,3,4,7}:{(100,1),(101,1),(104,1),(114,1),(153,1),(155,1)}
       129:{3,5,7}:{(101,1),(102,1),(115,1),(156,1)}
       130:{1,2,4,6}:{(102,1),(103,1),(106,1),(151,1),(156,1),(158,1),(192,1),(194,1)}
       131:{1,2,5,6,7}:{(103,1),(107,1),(117,1),(152,1),(157,1),(189,1),(208,1)}
       132:{1,4,5,7}:{(104,1),(105,1),(118,1),(147,1),(155,1),(158,1)}
       133:{3,4,6}:{(105,1),(106,1),(148,1),(156,1),(158,1)}
       134:{2,4,6,7}:{(106,1),(107,1),(120,1),(159,1)}
       135:{1,2,3,5}:{(108,1),(112,1),(160,1),(165,1),(197,1)}
       136:{1,3,4}:{(108,1),(160,1)}
       137:{3,4,5}:{(109,1),(115,1),(161,1),(163,1)}
       138:{1,4,6}:{(109,1),(110,1),(163,1),(164,1)}
       139:{1,3,5,7}:{(110,1),(111,1),(117,1),(164,1),(168,1)}
       140:{1,2,4,6}:{(112,1),(113,1),(114,1),(153,1),(160,1),(165,1),(194,1)}
       141:{2,3,5}:{(113,1),(115,1),(161,1),(165,1)}
       142:{1,3,5}:{(114,1),(115,1),(118,1),(165,1)}
       143:{3,5,6}:{(115,1),(116,1),(156,1),(163,1),(168,1)}
       144:{1,2,4,5,7}:{(116,1),(117,1),(120,1),(157,1),(164,1),(168,1),(169,1),(191,1),(199,1),(201,1),(208,1)}
       145:{1,4,5,6}:{(118,1),(119,1),(158,1),(167,1),(169,1)}
       146:{3,4,5,7}:{(119,1),(120,1),(159,1),(168,1),(169,1)}
       147:{1,5,7}:{(121,1),(122,1),(170,1)}
       148:{3,5,6}:{(122,1),(123,1),(133,1),(170,1)}
       149:{2,4,5,6,7}:{(123,1),(134,1),(171,1)}
       150:{3,4,5,7}:{(124,1),(129,1),(137,1),(173,1),(174,1),(185,1),(203,1)}
       151:{1,4,6}:{(124,1),(125,1),(174,1)}
       152:{1,3,5,6,7}:{(125,1),(131,1),(139,1),(175,1),(179,1),(203,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(128,1),(140,1),(176,1)}
       154:{2,3,5,7}:{(127,1),(129,1),(141,1),(173,1),(176,1),(177,1)}
       155:{1,3,5,7}:{(128,1),(129,1),(132,1),(142,1),(176,1),(178,1)}
       156:{3,6}:{(129,1),(130,1)}
       157:{1,2,4,6,7}:{(130,1),(131,1),(134,1),(144,1),(175,1),(179,1),(180,1),(204,1),(205,1)}
       158:{1,4,6}:{(132,1),(133,1),(170,1),(178,1)}
       159:{3,4,6,7}:{(133,1),(134,1),(146,1),(171,1),(179,1),(180,1)}
       160:{1,2,4}:{(135,1),(136,1),(181,1)}
       161:{2,4,5}:{(137,1),(141,1),(183,1)}
       162:{1,3,4,5}:{(136,1),(137,1),(142,1),(182,1),(184,1)}
       163:{3,4,6}:{(137,1),(138,1),(143,1),(183,1),(185,1)}
       164:{1,4,7}:{(138,1),(139,1),(185,1)}
       165:{1,2,5}:{(140,1),(141,1),(142,1)}
       166:{2,3,5,6}:{(141,1),(143,1),(177,1),(183,1),(186,1),(187,1),(202,1),(206,1)}
       167:{1,3,5,6}:{(142,1),(143,1),(145,1),(178,1),(184,1),(186,1),(188,1)}
       168:{3,5,7}:{(143,1),(144,1),(179,1),(185,1)}
       169:{1,4,5,7}:{(145,1),(146,1),(180,1),(188,1)}
       170:{1,5,6}:{(147,1),(148,1),(158,1)}
       171:{3,5,6,7}:{(148,1),(149,1),(159,1),(189,1)}
       172:{1,4,5,6}:{(151,1),(190,1),(191,1)}
       173:{2,4,5,7}:{(150,1),(154,1),(161,1),(192,1),(199,1),(208,1)}
       174:{3,4,6}:{(150,1),(151,1),(156,1),(190,1),(192,1)}
       175:{1,4,6,7}:{(151,1),(152,1),(164,1),(191,1),(193,1)}
       176:{1,2,5,7}:{(153,1),(154,1),(155,1),(165,1),(194,1)}
       177:{2,3,6}:{(154,1),(156,1),(192,1),(194,1)}
       178:{1,3,6}:{(155,1),(156,1),(158,1),(194,1)}
       179:{3,6,7}:{(156,1),(157,1),(168,1)}
       180:{1,4,6,7}:{(158,1),(159,1),(169,1),(189,1),(196,1)}
       181:{2,3,4}:{(160,1),(197,1)}
       182:{1,2,4,5}:{(160,1),(161,1),(162,1),(165,1),(197,1),(198,1)}
       183:{2,4,6}:{(161,1),(163,1),(166,1),(199,1)}
       184:{1,3,4,6}:{(162,1),(163,1),(167,1),(198,1),(200,1)}
       185:{3,4,7}:{(163,1),(164,1),(168,1),(199,1)}
       186:{1,2,5,6}:{(165,1),(166,1),(167,1),(194,1),(198,1),(201,1)}
       187:{2,3,5,7}:{(166,1),(168,1),(195,1),(199,1),(201,1),(208,1),(209,1)}
       188:{1,3,5,7}:{(167,1),(168,1),(169,1),(196,1),(200,1),(201,1)}
       189:{1,5,6,7}:{(170,1),(171,1),(180,1)}
       190:{3,5,6}:{(172,1),(174,1),(202,1),(203,1)}
       191:{1,4,5,7}:{(172,1),(175,1),(203,1)}
       192:{2,4,6}:{(173,1),(174,1),(177,1),(202,1)}
       193:{3,4,6,7}:{(174,1),(175,1),(179,1),(185,1),(203,1),(204,1)}
       194:{1,2,6}:{(176,1),(177,1),(178,1)}
       195:{2,3,6,7}:{(177,1),(179,1),(187,1),(204,1),(205,1)}
       196:{1,3,6,7}:{(178,1),(179,1),(180,1),(188,1),(205,1)}
       197:{2,3,5}:{(181,1),(182,1),(206,1)}
       198:{1,2,4,6}:{(182,1),(183,1),(184,1),(186,1),(206,1),(207,1)}
       199:{2,4,7}:{(183,1),(185,1),(187,1)}
       200:{1,3,4,7}:{(184,1),(185,1),(188,1),(207,1)}
       201:{1,2,5,7}:{(186,1),(187,1),(188,1),(205,1),(207,1)}
       202:{2,5,6}:{(190,1),(192,1),(208,1)}
       203:{3,5,7}:{(190,1),(191,1),(193,1),(208,1)}
       204:{2,4,6,7}:{(192,1),(193,1),(195,1),(199,1),(208,1)}
       205:{1,2,6,7}:{(194,1),(195,1),(196,1),(201,1)}
       206:{2,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,2,4,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       208:{2,5,7}:{(202,1),(203,1),(204,1)}
       209:{2,3,7}:{(206,1),(207,1)}

1244 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(15,1),(19,1),(42,1),(46,1),(77,1),(78,1),(79,1),(99,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(66,1),(67,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(29,1),(30,1),(34,1),(66,1),(67,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(65,1),(90,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(12,1),(16,1),(47,1),(96,1)}
         5:{3,4,6}:{(3,1),(11,1),(13,1),(14,1),(15,1),(51,1),(81,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(16,1),(48,1),(49,1),(52,1),(79,1)}
         7:{3,5,7}:{(2,1),(3,1),(13,1),(16,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(20,1),(51,1),(53,1),(75,1),(77,1),(94,1),(96,1),(103,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(39,1),(51,1),(55,1),(73,1),(78,1),(84,1),(96,1),(99,1)}
        10:{1,3,4,6}:{(14,1),(20,1),(21,1),(22,1),(51,1),(53,1),(81,1),(97,1)}
        11:{3,4,5}:{(5,1),(25,1),(26,1),(65,1),(102,1)}
        12:{4,6,7}:{(4,1),(27,1),(101,1)}
        13:{3,4,7}:{(5,1),(7,1),(29,1),(30,1),(69,1)}
        14:{1,4,6}:{(5,1),(8,1),(25,1),(29,1),(88,1),(101,1)}
        15:{2,4,6}:{(5,1),(9,1),(26,1),(30,1),(72,1),(101,1)}
        16:{3,6,7}:{(6,1),(7,1),(90,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(29,1),(32,1),(34,1),(66,1),(69,1),(92,1)}
        18:{2,3,5,7}:{(7,1),(9,1),(30,1),(33,1),(34,1),(67,1),(69,1),(92,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(36,1),(58,1),(70,1),(86,1)}
        20:{1,3,5}:{(10,1),(25,1),(36,1),(65,1),(102,1)}
        21:{1,3,4,7}:{(10,1),(29,1),(35,1),(37,1),(69,1),(91,1)}
        22:{1,2,4,6}:{(10,1),(36,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        23:{2,3,4,6}:{(15,1),(39,1),(40,1),(41,1),(51,1),(73,1),(81,1),(97,1)}
        24:{3,4,5,7}:{(11,1),(13,1),(43,1),(44,1),(45,1),(47,1),(80,1),(98,1),(104,1)}
        25:{1,4,5}:{(11,1),(14,1),(20,1),(103,1),(104,1)}
        26:{2,4,5}:{(11,1),(15,1),(39,1),(99,1),(104,1)}
        27:{4,5,7}:{(12,1),(42,1),(47,1),(98,1),(104,1)}
        28:{3,4,6,7}:{(12,1),(13,1),(16,1),(43,1),(47,1),(48,1),(49,1),(83,1),(97,1),(98,1)}
        29:{1,4,7}:{(13,1),(14,1),(17,1),(98,1)}
        30:{2,4,7}:{(13,1),(15,1),(18,1),(98,1)}
        31:{1,2,4,6}:{(14,1),(15,1),(19,1),(46,1),(50,1),(51,1)}
        32:{1,3,6,7}:{(16,1),(17,1),(48,1),(52,1),(53,1),(83,1),(94,1)}
        33:{2,3,6,7}:{(16,1),(18,1),(49,1),(52,1),(73,1),(83,1),(84,1)}
        34:{1,2,5,7}:{(17,1),(18,1),(19,1),(50,1),(52,1)}
        35:{1,3,5,7}:{(20,1),(21,1),(44,1),(53,1),(54,1),(80,1)}
        36:{1,2,5}:{(20,1),(22,1),(55,1),(99,1)}
        37:{1,2,4,7}:{(21,1),(22,1),(54,1),(56,1),(85,1)}
        38:{2,3,6}:{(22,1),(51,1),(55,1),(56,1)}
        39:{2,3,5}:{(23,1),(26,1),(58,1),(65,1),(102,1)}
        40:{2,3,4,7}:{(23,1),(30,1),(57,1),(59,1),(69,1),(91,1)}
        41:{1,2,4,6}:{(23,1),(58,1),(59,1),(60,1),(86,1),(88,1),(100,1)}
        42:{4,5,6}:{(27,1),(61,1),(101,1)}
        43:{3,4,6}:{(24,1),(61,1),(62,1),(63,1),(90,1),(101,1)}
        44:{1,4,5,7}:{(24,1),(25,1),(29,1),(35,1),(62,1),(66,1)}
        45:{2,4,5,7}:{(24,1),(26,1),(30,1),(57,1),(63,1),(67,1)}
        46:{1,2,4,5}:{(25,1),(26,1),(31,1),(36,1),(58,1),(65,1),(72,1),(88,1)}
        47:{3,5,7}:{(27,1),(28,1),(61,1),(66,1),(67,1),(102,1)}
        48:{1,4,6,7}:{(28,1),(29,1),(32,1),(62,1),(66,1),(100,1)}
        49:{2,4,6,7}:{(28,1),(30,1),(33,1),(63,1),(67,1),(93,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(69,1)}
        51:{3,6}:{(31,1),(65,1),(69,1)}
        52:{1,2,6,7}:{(32,1),(33,1),(34,1),(70,1),(86,1)}
        53:{1,3,6}:{(35,1),(62,1),(70,1),(90,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(37,1),(70,1),(71,1)}
        55:{2,3,5}:{(36,1),(38,1),(65,1),(72,1)}
        56:{2,3,7}:{(37,1),(38,1),(69,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(45,1),(73,1),(74,1),(80,1)}
        58:{1,2,5}:{(39,1),(41,1),(75,1),(103,1)}
        59:{1,2,4,7}:{(40,1),(41,1),(74,1),(76,1),(95,1)}
        60:{1,3,6}:{(41,1),(51,1),(75,1),(76,1)}
        61:{3,5,6}:{(42,1),(43,1),(47,1),(77,1),(78,1)}
        62:{1,4,6}:{(43,1),(44,1),(53,1),(77,1)}
        63:{2,4,6}:{(43,1),(45,1),(73,1),(78,1)}
        64:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(54,1),(74,1),(79,1),(80,1),(82,1),(85,1),(95,1),(98,1),(99,1),(103,1),(104,1)}
        65:{3,5}:{(46,1),(51,1),(81,1)}
        66:{1,5,7}:{(47,1),(48,1),(77,1),(103,1)}
        67:{2,5,7}:{(47,1),(49,1),(78,1),(99,1)}
        68:{1,2,4,6,7}:{(48,1),(49,1),(50,1),(52,1),(79,1),(82,1),(83,1),(98,1)}
        69:{3,7}:{(50,1),(51,1)}
        70:{1,2,6}:{(53,1),(54,1),(84,1)}
        71:{2,3,5,7}:{(54,1),(55,1),(56,1),(80,1),(84,1),(85,1),(99,1)}
        72:{2,4}:{(55,1),(81,1)}
        73:{2,3,6}:{(57,1),(63,1),(86,1),(90,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(86,1),(87,1)}
        75:{1,3,5}:{(58,1),(60,1),(65,1),(88,1)}
        76:{1,3,7}:{(59,1),(60,1),(69,1)}
        77:{1,5,6}:{(61,1),(62,1),(66,1)}
        78:{2,5,6}:{(61,1),(63,1),(67,1)}
        79:{1,2,4,6}:{(62,1),(63,1),(64,1),(70,1),(86,1),(89,1),(90,1),(93,1),(100,1),(101,1)}
        80:{3,5,7}:{(64,1),(65,1),(69,1),(90,1),(91,1),(102,1)}
        81:{3,4}:{(65,1),(72,1),(88,1)}
        82:{1,2,5,7}:{(66,1),(67,1),(68,1),(89,1),(92,1)}
        83:{3,6,7}:{(68,1),(69,1),(90,1),(92,1)}
        84:{2,3,6}:{(70,1),(71,1),(90,1),(93,1)}
        85:{2,4,7}:{(71,1),(72,1),(91,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{1,3,5,7}:{(74,1),(75,1),(76,1),(80,1),(94,1),(95,1),(103,1)}
        88:{1,4}:{(75,1),(81,1)}
        89:{1,2,5,6}:{(77,1),(78,1),(79,1),(82,1),(96,1),(99,1),(103,1)}
        90:{3,6}:{(79,1),(80,1)}
        91:{3,4,7}:{(80,1),(81,1),(85,1),(95,1),(97,1),(98,1)}
        92:{3,5,7}:{(82,1),(83,1),(96,1),(98,1)}
        93:{2,4,6}:{(84,1),(85,1),(97,1),(99,1)}
        94:{1,3,6}:{(86,1),(87,1),(90,1),(100,1)}
        95:{1,4,7}:{(87,1),(88,1),(91,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(92,1),(101,1),(102,1)}
        97:{3,4,6}:{(90,1),(91,1),(93,1),(100,1),(101,1),(102,1)}
        98:{4,7}:{(92,1),(101,1)}
        99:{2,5}:{(93,1),(102,1)}
       100:{1,4,6}:{(94,1),(95,1),(97,1),(103,1)}
       101:{4,6}:{(96,1),(98,1),(104,1)}
       102:{3,5}:{(97,1),(99,1),(103,1),(104,1)}
       103:{1,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1245 :   0:{4,5,6,7}:{(3,1),(58,1),(226,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(6,1),(29,1),(107,1),(171,1),(210,1)}
         2:{2,3,4,5}:{(7,1),(8,1),(65,1),(70,1),(120,1)}
         3:{3,5,6,7}:{(0,1),(9,1),(10,1),(11,1),(221,1)}
         4:{3,4,5,7}:{(1,1),(9,1),(12,1),(13,1),(43,1),(80,1)}
         5:{1,4,5,6}:{(1,1),(12,1),(14,1),(185,1),(216,1)}
         6:{2,4,5,6}:{(1,1),(13,1),(15,1),(149,1),(197,1)}
         7:{2,3,4,6}:{(2,1),(15,1),(17,1),(18,1),(46,1)}
         8:{1,2,4,5}:{(2,1),(18,1),(19,1),(50,1),(87,1),(92,1)}
         9:{3,4,6,7}:{(3,1),(4,1),(21,1),(22,1),(57,1),(58,1),(210,1)}
        10:{1,5,6,7}:{(3,1),(21,1),(224,1)}
        11:{2,5,6,7}:{(3,1),(22,1),(213,1)}
        12:{1,4,5,7}:{(4,1),(5,1),(21,1),(24,1)}
        13:{2,4,5,7}:{(4,1),(6,1),(22,1),(25,1)}
        14:{1,3,5,6}:{(5,1),(20,1),(24,1),(27,1),(29,1),(159,1),(203,1)}
        15:{2,3,5,6}:{(6,1),(7,1),(25,1),(28,1),(29,1),(120,1),(175,1)}
        16:{1,2,4,5,6}:{(5,1),(6,1),(26,1),(27,1),(28,1),(29,1),(63,1),(64,1),(107,1),(113,1),(164,1),(165,1),(168,1)}
        17:{2,3,4,7}:{(7,1),(25,1),(30,1),(61,1)}
        18:{1,2,4,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(64,1)}
        19:{1,3,5}:{(8,1),(31,1),(33,1)}
        20:{1,3,4,6}:{(14,1),(34,1),(35,1),(36,1),(46,1)}
        21:{1,4,6,7}:{(9,1),(10,1),(12,1),(37,1),(216,1)}
        22:{2,4,6,7}:{(9,1),(11,1),(13,1),(38,1),(197,1)}
        23:{1,2,5,6,7}:{(10,1),(11,1),(39,1),(40,1),(133,1),(134,1),(189,1)}
        24:{1,3,5,7}:{(12,1),(14,1),(35,1),(37,1),(41,1),(43,1)}
        25:{2,3,5,7}:{(13,1),(15,1),(17,1),(38,1),(42,1),(43,1)}
        26:{1,2,4,5,7}:{(12,1),(13,1),(16,1),(39,1),(41,1),(42,1),(43,1),(80,1),(82,1),(83,1),(133,1),(134,1)}
        27:{1,2,5,6}:{(14,1),(36,1),(41,1),(44,1),(130,1),(183,1)}
        28:{1,2,5,6}:{(15,1),(18,1),(42,1),(45,1),(92,1),(147,1)}
        29:{3,5,6}:{(16,1),(43,1),(46,1),(142,1),(193,1)}
        30:{1,2,4,7}:{(17,1),(18,1),(42,1),(47,1),(83,1)}
        31:{1,3,6}:{(18,1),(19,1),(47,1)}
        32:{1,2,3,5}:{(19,1),(48,1),(50,1),(92,1),(94,1)}
        33:{1,3,4}:{(19,1),(50,1)}
        34:{1,3,4,5}:{(20,1),(52,1),(65,1),(153,1),(159,1)}
        35:{1,3,4,7}:{(20,1),(24,1),(53,1),(61,1)}
        36:{1,2,4,6}:{(20,1),(27,1),(52,1),(53,1),(54,1),(63,1)}
        37:{1,3,6,7}:{(21,1),(24,1),(55,1),(57,1),(203,1)}
        38:{2,3,6,7}:{(22,1),(25,1),(56,1),(57,1),(175,1)}
        39:{1,2,4,6,7}:{(21,1),(22,1),(23,1),(26,1),(55,1),(56,1),(57,1),(58,1),(104,1),(105,1),(168,1)}
        40:{3,5,6,7}:{(23,1),(57,1),(58,1),(106,1),(208,1)}
        41:{1,2,5,7}:{(24,1),(27,1),(53,1),(55,1),(59,1)}
        42:{1,2,5,7}:{(25,1),(28,1),(30,1),(56,1),(60,1)}
        43:{3,5,7}:{(26,1),(29,1),(57,1),(61,1)}
        44:{2,3,5,6}:{(27,1),(29,1),(54,1),(59,1),(63,1),(102,1),(158,1),(164,1)}
        45:{1,3,5,6}:{(28,1),(29,1),(31,1),(60,1),(64,1),(69,1),(119,1),(165,1)}
        46:{3,4,6}:{(29,1),(61,1),(63,1),(64,1),(65,1)}
        47:{1,3,7}:{(30,1),(31,1)}
        48:{1,2,3,6}:{(31,1),(32,1),(66,1),(68,1),(123,1)}
        49:{1,3,4,6}:{(31,1),(33,1),(64,1),(67,1),(68,1),(69,1),(112,1),(119,1)}
        50:{1,2,4}:{(32,1),(33,1),(70,1)}
        51:{1,3,4,5}:{(33,1),(69,1),(71,1),(72,1),(171,1)}
        52:{1,2,4,5}:{(34,1),(36,1),(73,1),(86,1),(125,1),(130,1)}
        53:{1,2,4,7}:{(35,1),(36,1),(41,1),(74,1),(82,1)}
        54:{2,3,6}:{(36,1),(73,1),(74,1)}
        55:{1,2,6,7}:{(37,1),(41,1),(77,1),(183,1)}
        56:{1,2,6,7}:{(38,1),(42,1),(78,1),(147,1)}
        57:{3,6,7}:{(39,1),(43,1),(193,1)}
        58:{4,6,7}:{(40,1),(80,1),(219,1)}
        59:{2,3,5,7}:{(41,1),(43,1),(44,1),(74,1),(77,1),(82,1),(133,1)}
        60:{1,3,5,7}:{(42,1),(43,1),(45,1),(47,1),(78,1),(83,1),(134,1)}
        61:{3,4,7}:{(43,1),(46,1),(82,1),(83,1)}
        62:{1,2,3,5,6}:{(44,1),(45,1),(48,1),(75,1),(81,1),(85,1),(92,1),(130,1),(142,1),(147,1),(150,1),(183,1),(186,1),(189,1),(193,1)}
        63:{2,4,6}:{(44,1),(46,1),(82,1),(86,1)}
        64:{1,4,6}:{(45,1),(46,1),(83,1),(87,1)}
        65:{3,4,5}:{(46,1),(86,1),(87,1),(142,1)}
        66:{1,2,3,7}:{(47,1),(48,1),(89,1),(152,1)}
        67:{1,3,4,7}:{(47,1),(49,1),(83,1),(89,1),(90,1),(137,1)}
        68:{1,2,4,6}:{(48,1),(49,1),(50,1),(89,1),(91,1),(92,1),(147,1)}
        69:{1,3,5}:{(49,1),(87,1),(92,1),(142,1)}
        70:{2,3,4}:{(50,1),(94,1)}
        71:{1,2,4,5}:{(50,1),(51,1),(92,1),(94,1),(95,1),(149,1)}
        72:{1,3,4,6}:{(51,1),(93,1),(95,1),(96,1),(195,1)}
        73:{2,3,5}:{(52,1),(54,1),(98,1)}
        74:{2,3,7}:{(53,1),(54,1)}
        75:{1,2,3,6}:{(54,1),(97,1),(99,1),(101,1),(200,1)}
        76:{2,3,4,6}:{(54,1),(63,1),(98,1),(100,1),(101,1),(102,1),(112,1),(158,1)}
        77:{2,3,6,7}:{(55,1),(57,1),(59,1),(104,1),(158,1)}
        78:{1,3,6,7}:{(56,1),(57,1),(60,1),(105,1),(119,1)}
        79:{3,4,6,7}:{(57,1),(58,1),(61,1),(104,1),(105,1),(106,1),(111,1)}
        80:{4,5,7}:{(58,1),(106,1),(107,1)}
        81:{1,2,3,5,7}:{(59,1),(60,1),(62,1),(66,1),(99,1),(103,1),(108,1),(118,1),(157,1),(163,1),(167,1),(178,1),(206,1)}
        82:{2,4,7}:{(59,1),(61,1),(63,1)}
        83:{1,4,7}:{(60,1),(61,1),(64,1)}
        84:{3,4,5,7}:{(61,1),(65,1),(106,1),(109,1),(110,1),(111,1),(167,1),(207,1)}
        85:{1,2,4,6}:{(62,1),(63,1),(64,1),(108,1),(112,1),(113,1),(177,1),(205,1)}
        86:{2,4,5}:{(63,1),(65,1),(102,1)}
        87:{1,4,5}:{(64,1),(65,1),(69,1)}
        88:{3,4,5,6}:{(65,1),(111,1),(114,1),(115,1),(116,1),(172,1),(226,1)}
        89:{1,2,4,7}:{(66,1),(67,1),(68,1),(117,1),(118,1)}
        90:{1,3,5,7}:{(67,1),(69,1),(110,1),(118,1),(119,1),(167,1)}
        91:{2,3,4,6}:{(68,1),(70,1),(112,1),(117,1),(120,1),(123,1),(175,1),(177,1)}
        92:{1,2,5}:{(68,1),(69,1),(120,1)}
        93:{1,3,5,6}:{(69,1),(72,1),(115,1),(119,1),(121,1),(122,1),(172,1)}
        94:{2,3,5}:{(70,1),(71,1),(123,1)}
        95:{1,2,4,6}:{(71,1),(72,1),(121,1),(123,1),(124,1),(177,1)}
        96:{1,3,4,7}:{(72,1),(122,1),(124,1),(212,1)}
        97:{1,2,3,5}:{(73,1),(75,1),(125,1),(130,1),(179,1)}
        98:{2,3,4}:{(73,1),(125,1)}
        99:{1,2,3,7}:{(74,1),(75,1),(127,1),(215,1)}
       100:{2,3,4,7}:{(74,1),(76,1),(82,1),(127,1),(128,1),(137,1)}
       101:{1,2,4,6}:{(75,1),(76,1),(125,1),(127,1),(129,1),(130,1),(183,1)}
       102:{2,3,5}:{(76,1),(86,1),(130,1),(142,1)}
       103:{1,2,3,6,7}:{(77,1),(78,1),(81,1),(132,1),(147,1),(183,1),(193,1),(198,1),(217,1)}
       104:{2,4,6,7}:{(77,1),(79,1),(82,1),(133,1),(139,1)}
       105:{1,4,6,7}:{(78,1),(79,1),(83,1),(134,1),(140,1)}
       106:{3,5,7}:{(79,1),(80,1),(133,1),(134,1),(135,1)}
       107:{4,5,6}:{(80,1),(135,1),(219,1)}
       108:{1,2,4,7}:{(81,1),(82,1),(83,1),(85,1),(137,1),(199,1),(218,1)}
       109:{2,4,5,7}:{(82,1),(84,1),(86,1),(128,1),(133,1),(139,1)}
       110:{1,4,5,7}:{(83,1),(84,1),(87,1),(90,1),(134,1),(140,1)}
       111:{3,4,6}:{(84,1),(135,1),(139,1),(140,1),(193,1),(219,1)}
       112:{3,4,6}:{(85,1),(137,1),(142,1),(193,1)}
       113:{1,2,4,5}:{(85,1),(86,1),(87,1),(92,1),(130,1),(142,1),(149,1),(185,1)}
       114:{2,4,5,6}:{(86,1),(88,1),(131,1),(139,1),(144,1)}
       115:{1,4,5,6}:{(87,1),(88,1),(93,1),(140,1),(145,1)}
       116:{3,4,5,7}:{(88,1),(141,1),(144,1),(145,1),(196,1),(230,1)}
       117:{2,3,4,7}:{(89,1),(91,1),(137,1),(146,1),(152,1),(199,1)}
       118:{1,2,5,7}:{(89,1),(90,1),(92,1),(146,1),(147,1)}
       119:{1,3,6}:{(90,1),(140,1),(147,1),(193,1)}
       120:{2,3,5}:{(91,1),(92,1),(142,1),(149,1)}
       121:{1,2,5,6}:{(92,1),(93,1),(95,1),(147,1),(150,1),(151,1)}
       122:{1,3,5,7}:{(93,1),(96,1),(145,1),(148,1),(151,1),(196,1)}
       123:{2,3,6}:{(94,1),(95,1),(152,1)}
       124:{1,2,4,7}:{(95,1),(96,1),(151,1),(152,1),(199,1)}
       125:{1,2,4}:{(97,1),(98,1),(153,1)}
       126:{2,3,4,5}:{(98,1),(102,1),(154,1),(155,1),(171,1)}
       127:{1,2,4,7}:{(99,1),(100,1),(101,1),(156,1),(157,1)}
       128:{2,3,5,7}:{(100,1),(102,1),(109,1),(157,1),(158,1),(167,1)}
       129:{1,3,4,6}:{(101,1),(112,1),(153,1),(156,1),(159,1),(200,1),(203,1),(205,1)}
       130:{1,2,5}:{(101,1),(102,1),(159,1)}
       131:{2,3,5,6}:{(102,1),(114,1),(155,1),(158,1),(160,1),(161,1),(172,1)}
       132:{1,2,4,6,7}:{(103,1),(104,1),(105,1),(108,1),(162,1),(163,1),(168,1),(214,1),(225,1)}
       133:{2,5,7}:{(104,1),(106,1),(164,1)}
       134:{1,5,7}:{(105,1),(106,1),(165,1)}
       135:{3,5,6}:{(106,1),(107,1),(111,1),(164,1),(165,1)}
       136:{4,5,6,7}:{(107,1),(166,1),(227,1)}
       137:{3,4,7}:{(108,1),(112,1),(167,1)}
       138:{1,2,4,5,7}:{(108,1),(109,1),(110,1),(113,1),(118,1),(157,1),(163,1),(167,1),(168,1),(174,1),(202,1),(207,1)}
       139:{2,4,6}:{(109,1),(111,1),(158,1),(164,1)}
       140:{1,4,6}:{(110,1),(111,1),(119,1),(165,1)}
       141:{3,4,6,7}:{(111,1),(116,1),(166,1),(169,1),(170,1),(211,1),(227,1)}
       142:{3,5}:{(112,1),(113,1)}
       143:{1,2,4,5,6}:{(113,1),(114,1),(115,1),(121,1),(160,1),(168,1),(172,1),(173,1),(177,1),(205,1),(213,1),(224,1),(226,1)}
       144:{2,4,5,7}:{(114,1),(116,1),(161,1),(169,1)}
       145:{1,4,5,7}:{(115,1),(116,1),(122,1),(170,1)}
       146:{2,3,5,7}:{(117,1),(118,1),(120,1),(167,1),(174,1),(175,1)}
       147:{1,2,6}:{(118,1),(119,1),(175,1)}
       148:{1,3,6,7}:{(119,1),(122,1),(170,1),(176,1),(211,1)}
       149:{2,4,5}:{(120,1),(171,1),(177,1)}
       150:{2,3,5,6}:{(120,1),(121,1),(123,1),(172,1),(175,1),(177,1),(178,1),(213,1)}
       151:{1,2,5,7}:{(121,1),(122,1),(124,1),(176,1),(178,1)}
       152:{2,3,7}:{(123,1),(124,1)}
       153:{1,3,4}:{(125,1),(179,1)}
       154:{1,2,4,5}:{(125,1),(126,1),(130,1),(179,1),(180,1),(185,1)}
       155:{2,3,4,6}:{(126,1),(131,1),(180,1),(181,1),(195,1)}
       156:{1,3,4,7}:{(127,1),(129,1),(137,1),(182,1),(215,1),(218,1)}
       157:{1,2,5,7}:{(127,1),(128,1),(130,1),(182,1),(183,1)}
       158:{2,3,6}:{(128,1),(139,1),(183,1),(193,1)}
       159:{1,3,5}:{(129,1),(130,1),(142,1),(185,1)}
       160:{1,2,5,6}:{(130,1),(131,1),(180,1),(183,1),(186,1),(187,1)}
       161:{2,3,5,7}:{(131,1),(144,1),(181,1),(184,1),(187,1),(196,1)}
       162:{3,4,6,7}:{(132,1),(137,1),(188,1),(193,1),(219,1)}
       163:{1,2,5,7}:{(132,1),(133,1),(134,1),(188,1),(189,1),(223,1),(229,1)}
       164:{2,5,6}:{(133,1),(135,1),(139,1)}
       165:{1,5,6}:{(134,1),(135,1),(140,1)}
       166:{3,5,6,7}:{(135,1),(136,1),(141,1),(190,1),(191,1)}
       167:{3,5,7}:{(137,1),(138,1),(142,1),(193,1)}
       168:{1,2,4,6}:{(138,1),(139,1),(140,1),(147,1),(183,1),(189,1),(193,1),(197,1),(216,1),(219,1)}
       169:{2,4,6,7}:{(139,1),(141,1),(144,1),(184,1),(190,1)}
       170:{1,4,6,7}:{(140,1),(141,1),(145,1),(148,1),(191,1)}
       171:{3,4,5}:{(142,1),(149,1),(185,1),(195,1)}
       172:{3,5,6}:{(142,1),(143,1),(193,1),(195,1),(196,1)}
       173:{1,2,4,5,7}:{(143,1),(144,1),(145,1),(151,1),(187,1),(194,1),(196,1),(199,1),(218,1),(223,1),(229,1),(230,1)}
       174:{2,4,5,7}:{(146,1),(149,1),(192,1),(197,1),(199,1),(223,1)}
       175:{2,3,6}:{(146,1),(147,1),(193,1),(197,1)}
       176:{1,2,6,7}:{(147,1),(148,1),(151,1),(198,1)}
       177:{2,4,6}:{(149,1),(150,1),(195,1),(199,1)}
       178:{2,3,5,7}:{(150,1),(151,1),(152,1),(196,1),(198,1),(199,1),(223,1)}
       179:{1,3,5}:{(153,1),(154,1),(200,1)}
       180:{1,2,4,6}:{(154,1),(155,1),(160,1),(200,1),(201,1),(205,1)}
       181:{2,3,4,7}:{(155,1),(161,1),(201,1),(212,1)}
       182:{1,3,5,7}:{(156,1),(157,1),(159,1),(167,1),(202,1),(203,1)}
       183:{1,2,6}:{(157,1),(158,1),(203,1)}
       184:{2,3,6,7}:{(158,1),(161,1),(169,1),(204,1),(211,1)}
       185:{1,4,5}:{(159,1),(171,1),(205,1)}
       186:{1,3,5,6}:{(159,1),(160,1),(172,1),(200,1),(203,1),(205,1),(206,1),(224,1)}
       187:{1,2,5,7}:{(160,1),(161,1),(201,1),(204,1),(206,1)}
       188:{3,5,7}:{(162,1),(163,1),(207,1),(208,1)}
       189:{1,2,5,6}:{(163,1),(164,1),(165,1),(168,1),(208,1),(213,1),(224,1)}
       190:{2,5,6,7}:{(164,1),(166,1),(169,1)}
       191:{1,5,6,7}:{(165,1),(166,1),(170,1)}
       192:{3,4,5,7}:{(167,1),(171,1),(174,1),(202,1),(207,1),(210,1),(212,1),(228,1)}
       193:{3,6}:{(167,1),(168,1)}
       194:{1,2,4,6,7}:{(168,1),(169,1),(170,1),(173,1),(176,1),(204,1),(209,1),(211,1),(214,1),(225,1),(227,1)}
       195:{3,4,6}:{(171,1),(172,1),(177,1),(205,1),(212,1)}
       196:{3,5,7}:{(172,1),(173,1),(211,1),(212,1)}
       197:{2,4,6}:{(174,1),(175,1),(210,1),(213,1)}
       198:{2,3,6,7}:{(175,1),(176,1),(178,1),(211,1),(214,1)}
       199:{2,4,7}:{(177,1),(178,1),(212,1)}
       200:{1,3,6}:{(179,1),(180,1),(215,1)}
       201:{1,2,4,7}:{(180,1),(181,1),(187,1),(215,1),(218,1)}
       202:{1,4,5,7}:{(182,1),(185,1),(192,1),(216,1),(218,1),(229,1)}
       203:{1,3,6}:{(182,1),(183,1),(193,1),(216,1)}
       204:{1,2,6,7}:{(183,1),(184,1),(187,1),(217,1)}
       205:{1,4,6}:{(185,1),(186,1),(195,1),(218,1)}
       206:{1,3,5,7}:{(186,1),(187,1),(196,1),(215,1),(217,1),(218,1),(229,1)}
       207:{4,5,7}:{(188,1),(219,1)}
       208:{3,5,6}:{(188,1),(189,1),(193,1),(219,1)}
       209:{1,2,5,6,7}:{(189,1),(190,1),(191,1),(194,1),(220,1),(223,1),(229,1)}
       210:{3,4,6}:{(192,1),(193,1),(197,1),(216,1),(219,1),(221,1)}
       211:{3,6,7}:{(193,1),(194,1),(196,1)}
       212:{3,4,7}:{(195,1),(196,1),(199,1),(218,1)}
       213:{2,5,6}:{(197,1),(221,1),(223,1)}
       214:{2,4,6,7}:{(197,1),(198,1),(199,1),(222,1),(223,1)}
       215:{1,3,7}:{(200,1),(201,1)}
       216:{1,4,6}:{(202,1),(203,1),(210,1),(224,1)}
       217:{1,3,6,7}:{(203,1),(204,1),(206,1),(211,1),(225,1)}
       218:{1,4,7}:{(205,1),(206,1),(212,1)}
       219:{4,6}:{(207,1),(208,1)}
       220:{3,5,6,7}:{(208,1),(209,1),(211,1),(227,1),(228,1)}
       221:{3,5,6}:{(210,1),(213,1),(224,1),(226,1),(228,1)}
       222:{3,4,6,7}:{(210,1),(211,1),(212,1),(214,1),(225,1),(227,1),(228,1)}
       223:{2,5,7}:{(213,1),(214,1),(228,1)}
       224:{1,5,6}:{(216,1),(221,1),(229,1)}
       225:{1,4,6,7}:{(216,1),(217,1),(218,1),(222,1),(229,1)}
       226:{4,5,6}:{(219,1),(221,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{3,5,7}:{(221,1),(222,1),(223,1),(229,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(228,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

1246 :   0:{2,3,4,5,7}:{(1,1),(2,1),(11,1),(41,1),(81,1),(85,1),(93,1),(124,1),(129,1),(132,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(69,1),(151,1),(156,1),(158,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(24,1),(27,1),(59,1),(66,1),(70,1)}
         3:{2,4,5,6,7}:{(9,1),(34,1),(172,1)}
         4:{2,3,4,6,7}:{(1,1),(11,1),(12,1),(34,1),(74,1),(81,1),(121,1)}
         5:{3,4,5,6}:{(10,1),(14,1),(15,1),(47,1),(137,1),(174,1)}
         6:{2,3,5,6}:{(1,1),(11,1),(15,1),(16,1),(47,1),(85,1),(170,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(48,1)}
         8:{1,3,5,7}:{(2,1),(17,1),(18,1),(49,1),(129,1)}
         9:{3,5,6,7}:{(3,1),(19,1),(20,1),(190,1)}
        10:{3,4,5,7}:{(5,1),(19,1),(22,1),(23,1),(58,1)}
        11:{2,3,5,7}:{(4,1),(6,1),(23,1),(24,1),(58,1),(147,1)}
        12:{1,2,4,6,7}:{(4,1),(7,1),(24,1),(25,1),(59,1)}
        13:{1,2,3,5,7}:{(8,1),(26,1),(27,1),(63,1),(66,1)}
        14:{1,4,5,6}:{(5,1),(22,1),(28,1),(162,1),(192,1)}
        15:{2,4,5,6}:{(5,1),(6,1),(23,1),(109,1),(151,1)}
        16:{1,2,5,6}:{(6,1),(7,1),(24,1),(30,1),(66,1)}
        17:{1,3,6}:{(7,1),(8,1),(156,1)}
        18:{1,3,4,7}:{(8,1),(27,1),(31,1),(59,1),(101,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(33,1),(34,1),(74,1),(174,1)}
        20:{1,5,6,7}:{(9,1),(33,1),(202,1)}
        21:{2,3,5,6,7}:{(9,1),(11,1),(34,1),(35,1),(74,1),(125,1)}
        22:{1,4,5,7}:{(10,1),(14,1),(33,1),(37,1)}
        23:{2,4,5,7}:{(10,1),(11,1),(15,1),(34,1)}
        24:{1,2,5,7}:{(11,1),(12,1),(16,1),(39,1)}
        25:{1,3,6,7}:{(12,1),(17,1),(39,1),(74,1)}
        26:{1,2,3,6}:{(13,1),(17,1),(44,1),(86,1)}
        27:{1,2,4,7}:{(13,1),(18,1),(41,1),(44,1)}
        28:{1,3,5,6}:{(14,1),(37,1),(42,1),(46,1),(47,1),(142,1),(178,1)}
        29:{1,2,4,5,6}:{(14,1),(15,1),(16,1),(38,1),(46,1),(47,1),(48,1),(89,1),(92,1),(123,1),(130,1),(170,1)}
        30:{1,3,5,6}:{(16,1),(17,1),(39,1),(47,1),(48,1),(49,1)}
        31:{1,3,4,6}:{(17,1),(18,1),(44,1),(48,1),(49,1),(88,1)}
        32:{1,3,4,5,7}:{(18,1),(45,1),(49,1),(50,1),(82,1),(95,1),(129,1),(137,1),(173,1),(185,1)}
        33:{1,4,6,7}:{(19,1),(20,1),(22,1),(51,1),(192,1)}
        34:{2,4,6,7}:{(19,1),(21,1),(23,1),(151,1)}
        35:{1,2,5,6,7}:{(20,1),(21,1),(24,1),(52,1),(53,1),(103,1),(147,1)}
        36:{1,2,3,6,7}:{(25,1),(26,1),(55,1),(56,1),(96,1),(111,1),(156,1),(194,1),(196,1)}
        37:{1,3,5,7}:{(22,1),(28,1),(51,1),(54,1),(57,1),(58,1)}
        38:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(29,1),(52,1),(57,1),(58,1),(59,1),(98,1),(104,1),(147,1)}
        39:{1,3,5,7}:{(24,1),(25,1),(30,1),(58,1),(59,1)}
        40:{1,3,4,6,7}:{(25,1),(31,1),(56,1),(59,1),(60,1),(97,1),(101,1),(106,1),(156,1)}
        41:{2,3,4,7}:{(27,1),(62,1),(63,1),(101,1),(164,1)}
        42:{1,3,4,6}:{(28,1),(54,1),(61,1),(64,1),(69,1)}
        43:{1,2,3,5,6}:{(26,1),(30,1),(55,1),(65,1),(66,1),(68,1),(103,1),(110,1),(112,1),(115,1),(156,1),(165,1),(167,1),(194,1)}
        44:{1,2,4,6}:{(26,1),(27,1),(31,1),(62,1),(66,1)}
        45:{1,2,4,5,7}:{(27,1),(32,1),(63,1),(66,1),(67,1),(109,1),(117,1),(164,1)}
        46:{1,2,5,6}:{(28,1),(57,1),(64,1),(68,1),(165,1),(194,1)}
        47:{3,5,6}:{(29,1),(58,1),(69,1),(115,1),(156,1)}
        48:{1,4,6}:{(30,1),(59,1),(69,1),(70,1)}
        49:{1,3,5}:{(31,1),(66,1),(70,1),(115,1)}
        50:{1,3,4,6}:{(32,1),(67,1),(71,1),(106,1),(156,1),(163,1),(192,1)}
        51:{1,3,6,7}:{(33,1),(37,1),(73,1),(74,1),(178,1)}
        52:{1,2,4,6,7}:{(33,1),(34,1),(35,1),(38,1),(73,1),(74,1),(75,1),(121,1),(130,1)}
        53:{1,3,5,6,7}:{(35,1),(39,1),(74,1),(75,1),(83,1),(122,1)}
        54:{1,3,4,7}:{(37,1),(42,1),(77,1),(81,1)}
        55:{1,2,3,5,7}:{(36,1),(39,1),(43,1),(78,1),(79,1),(80,1),(126,1),(129,1),(139,1),(176,1),(188,1)}
        56:{1,2,4,6,7}:{(36,1),(40,1),(44,1),(76,1),(78,1),(79,1),(121,1),(130,1),(204,1)}
        57:{1,2,5,7}:{(37,1),(46,1),(73,1),(77,1),(80,1)}
        58:{3,5,7}:{(38,1),(47,1),(74,1),(81,1)}
        59:{1,4,7}:{(39,1),(48,1),(81,1)}
        60:{1,3,5,7}:{(40,1),(49,1),(79,1),(82,1),(83,1),(122,1),(129,1)}
        61:{1,3,4,5}:{(42,1),(84,1),(93,1),(142,1),(181,1)}
        62:{2,3,4,6}:{(41,1),(44,1),(85,1),(86,1),(88,1),(138,1)}
        63:{2,3,5,7}:{(41,1),(45,1),(85,1),(86,1),(129,1)}
        64:{1,2,4,6}:{(42,1),(46,1),(77,1),(84,1),(87,1),(92,1)}
        65:{1,2,4,6}:{(43,1),(48,1),(78,1),(88,1),(89,1),(92,1),(138,1),(184,1)}
        66:{1,2,5}:{(44,1),(49,1),(85,1)}
        67:{1,2,4,6}:{(45,1),(50,1),(86,1),(90,1),(138,1)}
        68:{2,3,5,6}:{(46,1),(47,1),(80,1),(87,1),(92,1),(141,1),(170,1),(177,1)}
        69:{3,4,6}:{(47,1),(48,1),(81,1),(92,1),(93,1)}
        70:{1,4,5}:{(48,1),(49,1),(93,1)}
        71:{1,3,5,6}:{(49,1),(50,1),(90,1),(94,1),(95,1),(143,1),(202,1)}
        72:{1,3,4,6,7}:{(50,1),(91,1),(95,1),(134,1),(179,1),(185,1),(204,1)}
        73:{1,2,6,7}:{(51,1),(57,1),(96,1),(194,1)}
        74:{3,6,7}:{(52,1),(58,1),(156,1)}
        75:{1,4,6,7}:{(53,1),(59,1),(97,1),(98,1),(106,1)}
        76:{2,3,4,6,7}:{(56,1),(62,1),(99,1),(101,1),(111,1),(151,1),(156,1),(164,1),(193,1)}
        77:{1,2,4,7}:{(54,1),(57,1),(64,1),(100,1),(104,1)}
        78:{1,2,4,7}:{(55,1),(59,1),(65,1),(101,1),(104,1),(164,1),(200,1)}
        79:{1,2,5,7}:{(56,1),(60,1),(66,1),(99,1),(103,1),(147,1),(208,1)}
        80:{2,3,5,7}:{(57,1),(58,1),(68,1),(96,1),(100,1),(104,1),(147,1)}
        81:{3,4,7}:{(58,1),(59,1),(69,1),(104,1)}
        82:{1,4,5,7}:{(59,1),(60,1),(70,1),(105,1),(106,1)}
        83:{1,3,5,6}:{(60,1),(103,1),(106,1),(148,1),(156,1)}
        84:{1,2,4,5}:{(61,1),(64,1),(108,1),(118,1),(160,1),(165,1)}
        85:{2,3,5}:{(62,1),(66,1),(109,1),(115,1)}
        86:{2,3,6}:{(63,1),(67,1),(156,1)}
        87:{2,3,6}:{(64,1),(100,1),(108,1)}
        88:{3,4,6}:{(65,1),(101,1),(115,1),(156,1)}
        89:{1,2,4,5}:{(65,1),(66,1),(70,1),(109,1),(115,1),(118,1),(162,1),(165,1)}
        90:{1,2,5,6}:{(66,1),(67,1),(71,1),(110,1),(117,1)}
        91:{1,2,4,6,7}:{(67,1),(72,1),(111,1),(117,1),(164,1)}
        92:{2,4,6}:{(68,1),(69,1),(104,1),(118,1)}
        93:{3,4,5}:{(69,1),(70,1),(115,1),(118,1)}
        94:{1,4,5,6}:{(70,1),(71,1),(106,1),(119,1),(120,1)}
        95:{1,3,5,7}:{(71,1),(72,1),(117,1),(120,1),(168,1),(208,1)}
        96:{2,3,6,7}:{(73,1),(74,1),(80,1),(121,1),(177,1)}
        97:{3,4,6,7}:{(74,1),(75,1),(81,1),(121,1),(122,1),(133,1)}
        98:{1,4,5,7}:{(75,1),(122,1),(123,1)}
        99:{2,3,5,7}:{(76,1),(79,1),(85,1),(124,1),(125,1),(129,1),(203,1)}
       100:{2,3,7}:{(77,1),(87,1)}
       101:{3,4,7}:{(78,1),(88,1),(129,1)}
       102:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(89,1),(124,1),(129,1),(130,1),(132,1),(173,1),(176,1)}
       103:{1,2,5,6}:{(79,1),(83,1),(125,1),(130,1),(170,1),(202,1)}
       104:{2,4,7}:{(80,1),(81,1),(92,1)}
       105:{3,4,5,7}:{(81,1),(82,1),(93,1),(122,1),(129,1),(132,1),(133,1)}
       106:{1,4,6}:{(82,1),(83,1),(133,1)}
       107:{1,3,5,6,7}:{(83,1),(95,1),(131,1),(134,1),(171,1),(179,1)}
       108:{2,3,5}:{(84,1),(87,1),(136,1)}
       109:{2,4,5}:{(85,1),(137,1),(138,1)}
       110:{2,3,5,6}:{(85,1),(86,1),(90,1),(138,1),(139,1),(143,1)}
       111:{2,3,6,7}:{(86,1),(91,1),(139,1),(179,1)}
       112:{1,2,3,6}:{(87,1),(126,1),(135,1),(140,1),(206,1)}
       113:{2,3,4,6}:{(87,1),(88,1),(92,1),(127,1),(136,1),(140,1),(141,1),(177,1)}
       114:{1,3,4,6}:{(88,1),(128,1),(140,1),(142,1),(178,1),(181,1),(184,1),(206,1)}
       115:{3,5}:{(88,1),(89,1)}
       116:{1,2,4,5,6}:{(89,1),(90,1),(94,1),(130,1),(138,1),(143,1),(144,1),(145,1),(172,1),(184,1),(186,1),(202,1)}
       117:{1,2,5,7}:{(90,1),(91,1),(95,1),(139,1)}
       118:{2,4,5}:{(92,1),(93,1),(141,1)}
       119:{3,4,5,6}:{(93,1),(94,1),(133,1),(143,1),(145,1),(146,1)}
       120:{1,4,5,7}:{(94,1),(95,1),(134,1),(146,1)}
       121:{2,4,6,7}:{(96,1),(97,1),(104,1),(147,1),(158,1)}
       122:{3,5,7}:{(97,1),(98,1),(147,1),(148,1)}
       123:{1,4,5,6}:{(98,1),(106,1),(148,1)}
       124:{2,4,5,7}:{(99,1),(109,1),(150,1),(151,1),(164,1)}
       125:{2,3,5,6}:{(99,1),(103,1),(151,1),(156,1),(190,1)}
       126:{1,2,3,7}:{(100,1),(112,1),(153,1),(209,1)}
       127:{2,3,4,7}:{(100,1),(101,1),(104,1),(113,1),(153,1),(154,1)}
       128:{1,3,4,7}:{(101,1),(114,1),(153,1),(155,1),(200,1),(209,1)}
       129:{3,5,7}:{(101,1),(102,1),(115,1),(156,1)}
       130:{1,2,4,6}:{(102,1),(103,1),(106,1),(151,1),(156,1),(158,1),(192,1),(194,1)}
       131:{1,2,5,6,7}:{(103,1),(107,1),(117,1),(152,1),(157,1),(189,1),(208,1)}
       132:{2,4,5,7}:{(104,1),(105,1),(118,1),(147,1),(154,1),(158,1)}
       133:{3,4,6}:{(105,1),(106,1),(148,1),(156,1),(158,1)}
       134:{1,4,6,7}:{(106,1),(107,1),(120,1),(159,1)}
       135:{1,2,3,5}:{(108,1),(112,1),(160,1),(165,1),(197,1)}
       136:{2,3,4}:{(108,1),(160,1)}
       137:{3,4,5}:{(109,1),(115,1),(162,1),(163,1)}
       138:{2,4,6}:{(109,1),(110,1),(163,1),(164,1)}
       139:{2,3,5,7}:{(110,1),(111,1),(117,1),(164,1),(168,1)}
       140:{1,2,4,6}:{(112,1),(113,1),(114,1),(153,1),(160,1),(165,1),(194,1)}
       141:{2,3,5}:{(113,1),(115,1),(118,1),(165,1)}
       142:{1,3,5}:{(114,1),(115,1),(162,1),(165,1)}
       143:{3,5,6}:{(115,1),(116,1),(156,1),(163,1),(168,1)}
       144:{1,2,4,5,7}:{(116,1),(117,1),(120,1),(157,1),(164,1),(168,1),(169,1),(191,1),(200,1),(201,1),(208,1)}
       145:{2,4,5,6}:{(118,1),(119,1),(158,1),(166,1),(169,1)}
       146:{3,4,5,7}:{(119,1),(120,1),(159,1),(168,1),(169,1)}
       147:{2,5,7}:{(121,1),(122,1),(170,1)}
       148:{3,5,6}:{(122,1),(123,1),(133,1),(170,1)}
       149:{1,4,5,6,7}:{(123,1),(134,1),(171,1)}
       150:{3,4,5,7}:{(124,1),(129,1),(137,1),(173,1),(174,1),(185,1),(203,1)}
       151:{2,4,6}:{(124,1),(125,1),(174,1)}
       152:{2,3,5,6,7}:{(125,1),(131,1),(139,1),(175,1),(179,1),(203,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(128,1),(140,1),(176,1)}
       154:{2,3,5,7}:{(127,1),(129,1),(132,1),(141,1),(176,1),(177,1)}
       155:{1,3,5,7}:{(128,1),(129,1),(142,1),(173,1),(176,1),(178,1)}
       156:{3,6}:{(129,1),(130,1)}
       157:{1,2,4,6,7}:{(130,1),(131,1),(134,1),(144,1),(175,1),(179,1),(180,1),(204,1),(205,1)}
       158:{2,4,6}:{(132,1),(133,1),(170,1),(177,1)}
       159:{3,4,6,7}:{(133,1),(134,1),(146,1),(171,1),(179,1),(180,1)}
       160:{1,2,4}:{(135,1),(136,1),(181,1)}
       161:{2,3,4,5}:{(136,1),(137,1),(141,1),(182,1),(183,1)}
       162:{1,4,5}:{(137,1),(142,1),(184,1)}
       163:{3,4,6}:{(137,1),(138,1),(143,1),(184,1),(185,1)}
       164:{2,4,7}:{(138,1),(139,1),(185,1)}
       165:{1,2,5}:{(140,1),(141,1),(142,1)}
       166:{2,3,5,6}:{(141,1),(143,1),(145,1),(177,1),(183,1),(186,1),(187,1)}
       167:{1,3,5,6}:{(142,1),(143,1),(178,1),(184,1),(186,1),(188,1),(202,1),(206,1)}
       168:{3,5,7}:{(143,1),(144,1),(179,1),(185,1)}
       169:{2,4,5,7}:{(145,1),(146,1),(180,1),(187,1)}
       170:{2,5,6}:{(147,1),(148,1),(158,1)}
       171:{3,5,6,7}:{(148,1),(149,1),(159,1),(189,1)}
       172:{2,4,5,6}:{(151,1),(190,1),(191,1)}
       173:{1,4,5,7}:{(150,1),(155,1),(162,1),(192,1),(200,1),(208,1)}
       174:{3,4,6}:{(150,1),(151,1),(156,1),(190,1),(192,1)}
       175:{2,4,6,7}:{(151,1),(152,1),(164,1),(191,1),(193,1)}
       176:{1,2,5,7}:{(153,1),(154,1),(155,1),(165,1),(194,1)}
       177:{2,3,6}:{(154,1),(156,1),(158,1),(194,1)}
       178:{1,3,6}:{(155,1),(156,1),(192,1),(194,1)}
       179:{3,6,7}:{(156,1),(157,1),(168,1)}
       180:{2,4,6,7}:{(158,1),(159,1),(169,1),(189,1),(195,1)}
       181:{1,3,4}:{(160,1),(197,1)}
       182:{1,2,4,5}:{(160,1),(161,1),(162,1),(165,1),(197,1),(198,1)}
       183:{2,3,4,6}:{(161,1),(163,1),(166,1),(198,1),(199,1)}
       184:{1,4,6}:{(162,1),(163,1),(167,1),(200,1)}
       185:{3,4,7}:{(163,1),(164,1),(168,1),(200,1)}
       186:{1,2,5,6}:{(165,1),(166,1),(167,1),(194,1),(198,1),(201,1)}
       187:{2,3,5,7}:{(166,1),(168,1),(169,1),(195,1),(199,1),(201,1)}
       188:{1,3,5,7}:{(167,1),(168,1),(196,1),(200,1),(201,1),(208,1),(209,1)}
       189:{2,5,6,7}:{(170,1),(171,1),(180,1)}
       190:{3,5,6}:{(172,1),(174,1),(202,1),(203,1)}
       191:{2,4,5,7}:{(172,1),(175,1),(203,1)}
       192:{1,4,6}:{(173,1),(174,1),(178,1),(202,1)}
       193:{3,4,6,7}:{(174,1),(175,1),(179,1),(185,1),(203,1),(204,1)}
       194:{1,2,6}:{(176,1),(177,1),(178,1)}
       195:{2,3,6,7}:{(177,1),(179,1),(180,1),(187,1),(205,1)}
       196:{1,3,6,7}:{(178,1),(179,1),(188,1),(204,1),(205,1)}
       197:{1,3,5}:{(181,1),(182,1),(206,1)}
       198:{1,2,4,6}:{(182,1),(183,1),(184,1),(186,1),(206,1),(207,1)}
       199:{2,3,4,7}:{(183,1),(185,1),(187,1),(207,1)}
       200:{1,4,7}:{(184,1),(185,1),(188,1)}
       201:{1,2,5,7}:{(186,1),(187,1),(188,1),(205,1),(207,1)}
       202:{1,5,6}:{(190,1),(192,1),(208,1)}
       203:{3,5,7}:{(190,1),(191,1),(193,1),(208,1)}
       204:{1,4,6,7}:{(192,1),(193,1),(196,1),(200,1),(208,1)}
       205:{1,2,6,7}:{(194,1),(195,1),(196,1),(201,1)}
       206:{1,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,2,4,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       208:{1,5,7}:{(202,1),(203,1),(204,1)}
       209:{1,3,7}:{(206,1),(207,1)}

1247 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(30,1),(31,1),(34,1),(37,1),(38,1),(39,1),(76,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(42,1),(43,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(25,1),(50,1),(51,1),(55,1),(59,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(27,1),(28,1),(34,1)}
         4:{3,4,6}:{(1,1),(8,1),(12,1),(37,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(12,1),(62,1),(63,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(37,1),(71,1),(72,1),(76,1)}
         7:{1,2,4,5,6}:{(3,1),(15,1),(16,1),(20,1),(42,1),(43,1),(49,1),(86,1),(87,1),(88,1)}
         8:{3,5}:{(3,1),(4,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(19,1),(20,1),(25,1),(46,1),(47,1),(55,1),(60,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(21,1),(22,1),(42,1),(56,1),(78,1),(83,1),(104,1)}
        11:{2,3,4,6}:{(4,1),(18,1),(21,1),(23,1),(43,1),(57,1),(78,1),(83,1),(104,1)}
        12:{3,4,7}:{(4,1),(5,1),(19,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(24,1),(25,1),(80,1),(81,1)}
        14:{3,4,5}:{(8,1),(26,1),(27,1),(28,1),(65,1)}
        15:{3,5,6}:{(7,1),(8,1),(26,1),(32,1),(37,1)}
        16:{1,2,4,5,7}:{(7,1),(32,1),(33,1),(62,1),(63,1),(70,1),(95,1),(96,1),(97,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(34,1),(65,1),(108,1)}
        18:{2,3,5}:{(8,1),(11,1),(28,1),(34,1),(65,1),(108,1)}
        19:{3,5,7}:{(8,1),(9,1),(12,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(37,1),(38,1),(67,1),(68,1),(76,1),(77,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(34,1),(39,1),(40,1),(74,1),(76,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(35,1),(40,1),(62,1),(93,1),(98,1)}
        23:{2,3,4,7}:{(11,1),(12,1),(36,1),(40,1),(63,1),(93,1),(98,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(41,1),(77,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(41,1),(95,1),(96,1)}
        26:{3,4,6}:{(14,1),(15,1),(42,1),(43,1),(44,1),(78,1)}
        27:{1,4,5}:{(14,1),(17,1),(42,1),(111,1)}
        28:{2,4,5}:{(14,1),(18,1),(43,1),(111,1)}
        29:{3,4,5,7}:{(14,1),(19,1),(44,1),(46,1),(47,1),(48,1),(60,1),(82,1),(84,1),(110,1),(111,1)}
        30:{1,3,5,6}:{(15,1),(17,1),(42,1),(49,1),(50,1),(56,1),(78,1),(86,1),(105,1)}
        31:{2,3,5,6}:{(15,1),(18,1),(43,1),(49,1),(51,1),(57,1),(78,1),(87,1),(105,1)}
        32:{3,5,7}:{(15,1),(16,1),(44,1),(52,1)}
        33:{1,2,4,6,7}:{(16,1),(20,1),(52,1),(53,1),(80,1),(81,1),(89,1),(90,1)}
        34:{1,2,5}:{(17,1),(18,1),(21,1)}
        35:{1,3,5,7}:{(17,1),(19,1),(22,1),(46,1),(55,1),(56,1),(84,1)}
        36:{2,3,5,7}:{(18,1),(19,1),(23,1),(47,1),(55,1),(57,1),(84,1)}
        37:{3,6}:{(19,1),(20,1)}
        38:{1,2,5,6}:{(20,1),(25,1),(58,1),(86,1),(87,1)}
        39:{1,2,3,6}:{(21,1),(54,1),(59,1),(78,1)}
        40:{1,2,4,7}:{(21,1),(22,1),(23,1),(55,1),(59,1)}
        41:{3,5,7}:{(24,1),(25,1),(58,1),(60,1)}
        42:{1,4,6}:{(26,1),(27,1),(30,1),(62,1),(109,1)}
        43:{2,4,6}:{(26,1),(28,1),(31,1),(63,1),(109,1)}
        44:{3,4,7}:{(26,1),(32,1),(62,1),(63,1),(93,1)}
        45:{1,2,4,5}:{(27,1),(28,1),(34,1),(61,1),(65,1),(74,1)}
        46:{1,4,5,7}:{(27,1),(29,1),(35,1),(62,1),(67,1),(95,1)}
        47:{2,4,5,7}:{(28,1),(29,1),(36,1),(63,1),(68,1),(96,1)}
        48:{3,4,6}:{(29,1),(37,1),(67,1),(68,1),(69,1),(77,1),(99,1),(109,1)}
        49:{1,2,5,6}:{(30,1),(31,1),(34,1),(61,1),(70,1),(76,1)}
        50:{1,3,5,7}:{(30,1),(32,1),(62,1),(70,1),(71,1),(93,1),(95,1),(107,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(63,1),(70,1),(72,1),(93,1),(96,1),(107,1)}
        52:{3,6,7}:{(32,1),(33,1),(37,1)}
        53:{1,2,5,6,7}:{(33,1),(38,1),(73,1),(95,1),(96,1)}
        54:{1,2,3,5}:{(34,1),(39,1),(65,1),(74,1)}
        55:{1,2,5,7}:{(34,1),(35,1),(36,1),(40,1),(76,1)}
        56:{1,3,6}:{(35,1),(37,1),(67,1),(76,1),(99,1)}
        57:{2,3,6}:{(36,1),(37,1),(68,1),(76,1),(99,1)}
        58:{3,5,6}:{(37,1),(38,1),(41,1),(77,1)}
        59:{1,2,3,7}:{(39,1),(40,1),(93,1)}
        60:{4,5,7}:{(41,1),(77,1)}
        61:{1,2,4,6}:{(42,1),(43,1),(45,1),(49,1),(78,1),(79,1)}
        62:{1,4,7}:{(42,1),(44,1),(50,1),(110,1)}
        63:{2,4,7}:{(43,1),(44,1),(51,1),(110,1)}
        64:{3,4,6,7}:{(44,1),(48,1),(52,1),(80,1),(81,1),(82,1),(90,1),(102,1),(110,1)}
        65:{3,5}:{(45,1),(78,1),(83,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(55,1),(79,1),(84,1),(85,1),(91,1),(103,1),(106,1),(110,1),(111,1)}
        67:{1,4,6}:{(46,1),(48,1),(56,1),(86,1)}
        68:{2,4,6}:{(47,1),(48,1),(57,1),(87,1)}
        69:{3,5,6}:{(48,1),(82,1),(86,1),(87,1),(88,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(89,1)}
        71:{1,3,6,7}:{(50,1),(52,1),(56,1),(80,1),(89,1),(102,1)}
        72:{2,3,6,7}:{(51,1),(52,1),(57,1),(81,1),(89,1),(102,1)}
        73:{3,5,6,7}:{(52,1),(53,1),(58,1),(82,1),(90,1)}
        74:{1,2,4}:{(54,1),(83,1)}
        75:{1,2,3,5,7}:{(54,1),(55,1),(59,1),(84,1),(91,1),(92,1),(106,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{4,6}:{(58,1),(60,1)}
        78:{3,6}:{(61,1),(65,1),(93,1)}
        79:{1,2,4,7}:{(61,1),(62,1),(63,1),(70,1),(93,1)}
        80:{1,4,6,7}:{(62,1),(64,1),(67,1),(71,1),(95,1)}
        81:{2,4,6,7}:{(63,1),(64,1),(68,1),(72,1),(96,1)}
        82:{3,5,7}:{(64,1),(69,1),(95,1),(96,1),(97,1)}
        83:{3,4}:{(65,1),(74,1)}
        84:{3,5,7}:{(65,1),(66,1),(93,1),(98,1),(99,1),(108,1)}
        85:{1,2,4,6}:{(66,1),(67,1),(68,1),(76,1),(99,1),(100,1),(109,1)}
        86:{1,5,6}:{(67,1),(69,1),(95,1)}
        87:{2,5,6}:{(68,1),(69,1),(96,1)}
        88:{4,5,6}:{(69,1),(77,1),(97,1),(109,1)}
        89:{1,2,6,7}:{(70,1),(71,1),(72,1),(76,1)}
        90:{4,6,7}:{(73,1),(77,1),(97,1)}
        91:{1,2,4,7}:{(74,1),(75,1),(98,1),(101,1)}
        92:{1,2,3,6}:{(75,1),(76,1),(99,1),(101,1)}
        93:{3,7}:{(78,1),(79,1)}
        94:{1,2,4,6,7}:{(79,1),(80,1),(81,1),(85,1),(89,1),(102,1),(103,1),(110,1)}
        95:{1,5,7}:{(80,1),(82,1),(86,1)}
        96:{2,5,7}:{(81,1),(82,1),(87,1)}
        97:{4,5,7}:{(82,1),(88,1),(90,1),(110,1)}
        98:{3,4,7}:{(83,1),(84,1),(91,1),(104,1),(110,1)}
        99:{3,6}:{(84,1),(85,1)}
       100:{1,2,5,6}:{(85,1),(86,1),(87,1),(103,1),(105,1),(106,1)}
       101:{1,2,4,6}:{(91,1),(92,1),(104,1),(106,1)}
       102:{3,6,7}:{(93,1),(94,1),(99,1),(107,1)}
       103:{1,2,5,7}:{(94,1),(95,1),(96,1),(100,1),(107,1)}
       104:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       105:{3,5,6}:{(99,1),(100,1),(107,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(108,1)}
       107:{3,5,7}:{(102,1),(103,1),(105,1),(110,1)}
       108:{3,5}:{(104,1),(106,1),(111,1)}
       109:{4,6}:{(105,1),(110,1),(111,1)}
       110:{4,7}:{(107,1),(109,1)}
       111:{4,5}:{(108,1),(109,1)}

1248 :   0:{1,4,5,6,7}:{(1,1),(8,1),(192,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(4,1),(201,1)}
         2:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(31,1),(190,1)}
         3:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(26,1),(31,1),(157,1)}
         4:{2,5,6,7}:{(1,1),(9,1),(206,1)}
         5:{3,4,5,6}:{(7,1),(11,1),(12,1),(36,1),(165,1),(190,1)}
         6:{1,3,4,5,7}:{(13,1),(14,1),(26,1),(60,1),(71,1),(74,1),(104,1),(120,1),(152,1),(156,1)}
         7:{3,4,5,7}:{(2,1),(5,1),(15,1),(16,1),(43,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(176,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(18,1),(199,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(19,1),(20,1),(41,1),(84,1),(133,1)}
        11:{1,4,5,6}:{(5,1),(15,1),(21,1),(145,1),(176,1)}
        12:{2,4,5,6}:{(5,1),(16,1),(22,1),(181,1),(199,1)}
        13:{1,3,4,6}:{(6,1),(21,1),(24,1),(52,1),(130,1),(174,1),(176,1)}
        14:{1,2,4,5,7}:{(6,1),(24,1),(25,1),(41,1),(55,1),(79,1),(91,1),(95,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(11,1),(26,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(12,1),(27,1)}
        17:{1,3,4,6,7}:{(8,1),(13,1),(26,1),(29,1),(31,1),(60,1),(63,1)}
        18:{2,3,6,7}:{(9,1),(27,1),(30,1),(31,1),(188,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(28,1),(30,1),(31,1),(32,1),(63,1),(153,1)}
        20:{2,3,5,6,7}:{(10,1),(31,1),(32,1),(58,1),(64,1),(108,1)}
        21:{1,3,5,6}:{(11,1),(13,1),(26,1),(34,1),(36,1),(109,1),(120,1)}
        22:{2,3,5,6}:{(12,1),(27,1),(33,1),(35,1),(36,1),(162,1),(188,1)}
        23:{1,2,4,5,6}:{(11,1),(12,1),(28,1),(34,1),(35,1),(36,1),(65,1),(69,1),(70,1),(109,1),(116,1),(153,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(34,1),(37,1),(69,1)}
        25:{2,3,5,7}:{(14,1),(37,1),(39,1),(73,1),(152,1)}
        26:{1,3,5,7}:{(15,1),(17,1),(21,1),(41,1),(43,1),(84,1)}
        27:{2,3,5,7}:{(16,1),(18,1),(22,1),(40,1),(42,1),(43,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(19,1),(23,1),(41,1),(42,1),(43,1),(47,1),(79,1),(80,1),(84,1)}
        29:{1,2,4,6,7}:{(17,1),(24,1),(41,1),(44,1),(79,1)}
        30:{1,2,6,7}:{(18,1),(42,1),(45,1),(171,1)}
        31:{3,6,7}:{(19,1),(43,1),(174,1)}
        32:{2,4,6,7}:{(20,1),(46,1),(47,1),(79,1),(129,1)}
        33:{2,3,4,6}:{(22,1),(40,1),(48,1),(49,1),(52,1)}
        34:{1,2,5,6}:{(21,1),(24,1),(41,1),(50,1),(95,1)}
        35:{1,2,5,6}:{(22,1),(42,1),(49,1),(51,1),(139,1),(171,1)}
        36:{3,5,6}:{(23,1),(43,1),(52,1),(141,1),(174,1)}
        37:{2,3,6}:{(24,1),(25,1),(174,1)}
        38:{1,2,3,5,7}:{(25,1),(53,1),(55,1),(95,1),(97,1)}
        39:{2,3,4,7}:{(25,1),(54,1),(55,1),(79,1),(127,1)}
        40:{2,3,4,7}:{(27,1),(33,1),(57,1),(60,1)}
        41:{1,2,5,7}:{(26,1),(29,1),(34,1),(58,1)}
        42:{1,2,5,7}:{(27,1),(30,1),(35,1),(57,1),(59,1)}
        43:{3,5,7}:{(28,1),(31,1),(36,1),(60,1)}
        44:{2,3,6,7}:{(29,1),(31,1),(37,1),(58,1)}
        45:{1,3,6,7}:{(30,1),(31,1),(59,1),(63,1),(151,1)}
        46:{3,4,6,7}:{(31,1),(32,1),(60,1),(63,1),(64,1),(105,1)}
        47:{2,4,5,7}:{(32,1),(64,1),(65,1)}
        48:{2,3,4,5}:{(33,1),(66,1),(71,1),(159,1),(162,1)}
        49:{1,2,4,6}:{(33,1),(35,1),(57,1),(66,1),(67,1),(70,1)}
        50:{2,3,5,6}:{(34,1),(36,1),(37,1),(58,1),(69,1),(73,1)}
        51:{1,3,5,6}:{(35,1),(36,1),(59,1),(67,1),(70,1),(109,1),(114,1),(151,1)}
        52:{3,4,6}:{(36,1),(60,1),(69,1),(70,1),(71,1)}
        53:{1,2,3,6}:{(37,1),(38,1),(72,1),(123,1)}
        54:{2,3,4,6}:{(37,1),(39,1),(69,1),(72,1),(73,1),(115,1)}
        55:{1,2,4,7}:{(38,1),(39,1),(72,1),(74,1)}
        56:{2,3,4,5,7}:{(39,1),(73,1),(75,1),(76,1),(103,1),(122,1),(152,1),(165,1),(187,1),(198,1)}
        57:{1,2,4,7}:{(40,1),(42,1),(49,1),(77,1),(80,1)}
        58:{2,3,5,7}:{(41,1),(43,1),(44,1),(50,1),(79,1)}
        59:{1,3,5,7}:{(42,1),(43,1),(45,1),(51,1),(77,1),(80,1),(84,1)}
        60:{3,4,7}:{(43,1),(52,1),(79,1),(80,1)}
        61:{1,2,3,6,7}:{(44,1),(45,1),(53,1),(78,1),(82,1),(148,1),(171,1),(174,1),(200,1)}
        62:{2,3,4,6,7}:{(44,1),(46,1),(54,1),(79,1),(82,1),(83,1),(127,1),(129,1),(174,1)}
        63:{1,4,6,7}:{(45,1),(46,1),(80,1),(84,1),(130,1)}
        64:{3,5,7}:{(46,1),(47,1),(84,1),(85,1)}
        65:{2,4,5,6}:{(47,1),(85,1),(129,1)}
        66:{1,2,4,5}:{(48,1),(49,1),(87,1),(92,1),(136,1),(139,1)}
        67:{1,3,6}:{(49,1),(77,1),(87,1)}
        68:{1,2,3,5,6}:{(50,1),(51,1),(53,1),(78,1),(88,1),(90,1),(95,1),(133,1),(139,1),(141,1),(146,1),(171,1),(174,1),(182,1)}
        69:{2,4,6}:{(50,1),(52,1),(79,1),(91,1)}
        70:{1,4,6}:{(51,1),(52,1),(80,1),(92,1)}
        71:{3,4,5}:{(52,1),(91,1),(92,1),(141,1)}
        72:{1,2,4,6}:{(53,1),(54,1),(55,1),(94,1),(95,1)}
        73:{2,3,5}:{(54,1),(91,1),(95,1),(141,1)}
        74:{1,3,4,7}:{(55,1),(94,1),(97,1),(127,1),(186,1)}
        75:{1,2,4,5,7}:{(55,1),(56,1),(95,1),(97,1),(98,1),(145,1),(147,1),(186,1)}
        76:{2,3,4,6}:{(56,1),(96,1),(98,1),(129,1),(174,1),(184,1),(199,1)}
        77:{1,3,7}:{(57,1),(67,1)}
        78:{1,2,3,5,7}:{(58,1),(59,1),(61,1),(68,1),(100,1),(102,1),(107,1),(150,1),(152,1),(169,1),(197,1)}
        79:{2,4,7}:{(58,1),(60,1),(69,1)}
        80:{1,4,7}:{(59,1),(60,1),(70,1)}
        81:{3,4,5,7}:{(60,1),(64,1),(71,1),(103,1),(104,1),(105,1),(152,1)}
        82:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(72,1),(102,1),(106,1),(107,1),(153,1),(207,1)}
        83:{2,3,5,7}:{(62,1),(64,1),(73,1),(103,1),(107,1),(108,1),(152,1)}
        84:{1,5,7}:{(63,1),(64,1),(109,1)}
        85:{3,5,6}:{(64,1),(65,1),(105,1),(109,1)}
        86:{2,4,5,6,7}:{(65,1),(110,1),(154,1)}
        87:{1,3,5}:{(66,1),(67,1),(112,1)}
        88:{1,2,3,6}:{(67,1),(100,1),(111,1),(113,1),(194,1)}
        89:{1,3,4,6}:{(67,1),(70,1),(101,1),(112,1),(113,1),(114,1),(115,1),(151,1)}
        90:{1,2,4,6}:{(68,1),(69,1),(70,1),(102,1),(115,1),(116,1),(168,1),(196,1)}
        91:{2,4,5}:{(69,1),(71,1),(73,1)}
        92:{1,4,5}:{(70,1),(71,1),(114,1)}
        93:{3,4,5,6}:{(71,1),(105,1),(117,1),(118,1),(119,1),(166,1)}
        94:{1,3,4,6}:{(72,1),(74,1),(115,1),(120,1),(123,1),(168,1)}
        95:{1,2,5}:{(72,1),(73,1),(120,1)}
        96:{2,3,5,6}:{(73,1),(76,1),(117,1),(121,1),(122,1),(166,1),(206,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(120,1),(123,1),(152,1)}
        98:{1,2,4,6}:{(75,1),(76,1),(121,1),(123,1),(168,1)}
        99:{2,3,4,6,7}:{(76,1),(122,1),(124,1),(154,1),(191,1),(198,1),(207,1)}
       100:{1,2,3,7}:{(77,1),(88,1),(125,1),(204,1)}
       101:{1,3,4,7}:{(77,1),(80,1),(89,1),(125,1),(126,1),(127,1)}
       102:{1,2,4,7}:{(78,1),(79,1),(80,1),(90,1),(127,1),(186,1),(205,1)}
       103:{2,4,5,7}:{(79,1),(81,1),(83,1),(91,1),(129,1)}
       104:{1,4,5,7}:{(80,1),(81,1),(84,1),(92,1),(126,1),(130,1)}
       105:{3,4,6}:{(81,1),(85,1),(129,1),(130,1),(174,1)}
       106:{1,3,4,6,7}:{(82,1),(94,1),(127,1),(132,1),(148,1),(174,1),(176,1),(186,1),(202,1)}
       107:{1,2,5,7}:{(82,1),(83,1),(84,1),(95,1),(132,1),(133,1),(209,1)}
       108:{2,3,5,6}:{(83,1),(85,1),(129,1),(133,1),(174,1)}
       109:{1,5,6}:{(84,1),(85,1),(130,1)}
       110:{3,5,6,7}:{(85,1),(86,1),(131,1),(135,1)}
       111:{1,2,3,5}:{(87,1),(88,1),(136,1),(139,1),(178,1)}
       112:{1,3,4}:{(87,1),(136,1)}
       113:{1,2,4,6}:{(88,1),(89,1),(125,1),(136,1),(138,1),(139,1),(171,1)}
       114:{1,3,5}:{(89,1),(92,1),(139,1),(141,1)}
       115:{3,4,6}:{(90,1),(127,1),(141,1),(174,1)}
       116:{1,2,4,5}:{(90,1),(91,1),(92,1),(95,1),(139,1),(141,1),(145,1),(181,1)}
       117:{2,4,5,6}:{(91,1),(93,1),(96,1),(129,1),(143,1)}
       118:{1,4,5,6}:{(92,1),(93,1),(130,1),(140,1),(144,1)}
       119:{3,4,5,7}:{(93,1),(131,1),(143,1),(144,1),(185,1)}
       120:{1,3,5}:{(94,1),(95,1),(141,1),(145,1)}
       121:{1,2,5,6}:{(95,1),(96,1),(98,1),(146,1),(147,1)}
       122:{2,3,5,7}:{(96,1),(99,1),(143,1),(147,1),(185,1),(209,1)}
       123:{1,3,6}:{(97,1),(98,1),(174,1)}
       124:{1,2,4,6,7}:{(98,1),(99,1),(147,1),(148,1),(186,1)}
       125:{1,2,4,7}:{(100,1),(101,1),(113,1),(149,1),(150,1)}
       126:{1,3,5,7}:{(101,1),(104,1),(114,1),(150,1),(151,1),(152,1)}
       127:{3,4,7}:{(102,1),(115,1),(152,1)}
       128:{1,2,4,5,7}:{(102,1),(103,1),(104,1),(107,1),(116,1),(150,1),(152,1),(153,1),(156,1),(187,1)}
       129:{2,4,6}:{(103,1),(105,1),(108,1)}
       130:{1,4,6}:{(104,1),(105,1),(109,1),(151,1)}
       131:{3,4,6,7}:{(105,1),(110,1),(119,1),(154,1),(155,1),(191,1)}
       132:{1,3,5,7}:{(106,1),(107,1),(120,1),(152,1),(156,1),(157,1),(208,1)}
       133:{1,2,5,6}:{(107,1),(108,1),(109,1),(153,1),(157,1),(206,1)}
       134:{2,3,5,6,7}:{(108,1),(110,1),(122,1),(154,1),(158,1),(191,1)}
       135:{1,5,6,7}:{(109,1),(110,1),(155,1)}
       136:{1,2,4}:{(111,1),(112,1),(159,1)}
       137:{1,3,4,5}:{(112,1),(114,1),(160,1),(161,1),(165,1)}
       138:{2,3,4,6}:{(113,1),(115,1),(149,1),(159,1),(162,1),(188,1),(194,1),(196,1)}
       139:{1,2,5}:{(113,1),(114,1),(162,1)}
       140:{1,3,5,6}:{(114,1),(118,1),(151,1),(161,1),(163,1),(164,1),(166,1)}
       141:{3,5}:{(115,1),(116,1)}
       142:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(121,1),(153,1),(163,1),(166,1),(167,1),(168,1),(192,1),(196,1),(206,1)}
       143:{2,4,5,7}:{(117,1),(119,1),(122,1),(154,1)}
       144:{1,4,5,7}:{(118,1),(119,1),(155,1),(164,1)}
       145:{1,4,5}:{(120,1),(165,1),(168,1)}
       146:{1,3,5,6}:{(120,1),(121,1),(123,1),(166,1),(168,1),(169,1)}
       147:{1,2,5,7}:{(121,1),(122,1),(124,1),(169,1)}
       148:{1,3,6,7}:{(123,1),(124,1),(169,1),(191,1)}
       149:{2,3,4,7}:{(125,1),(127,1),(138,1),(170,1),(204,1),(205,1)}
       150:{1,2,5,7}:{(125,1),(126,1),(139,1),(170,1),(171,1)}
       151:{1,3,6}:{(126,1),(130,1),(171,1),(174,1)}
       152:{3,5,7}:{(127,1),(128,1),(141,1),(174,1)}
       153:{1,2,4,6}:{(128,1),(129,1),(130,1),(133,1),(171,1),(174,1),(176,1),(199,1)}
       154:{2,4,6,7}:{(129,1),(131,1),(134,1),(143,1)}
       155:{1,4,6,7}:{(130,1),(131,1),(135,1),(144,1),(172,1)}
       156:{1,4,5,7}:{(132,1),(145,1),(173,1),(176,1),(186,1)}
       157:{1,3,5,6}:{(132,1),(133,1),(174,1),(176,1),(201,1)}
       158:{1,2,5,6,7}:{(133,1),(134,1),(135,1),(147,1),(175,1),(177,1),(209,1)}
       159:{2,3,4}:{(136,1),(178,1)}
       160:{1,2,4,5}:{(136,1),(137,1),(139,1),(178,1),(179,1),(181,1)}
       161:{1,3,4,6}:{(137,1),(140,1),(179,1),(180,1),(184,1)}
       162:{2,3,5}:{(138,1),(139,1),(141,1),(181,1)}
       163:{1,2,5,6}:{(139,1),(140,1),(171,1),(179,1),(182,1),(183,1)}
       164:{1,3,5,7}:{(140,1),(144,1),(172,1),(180,1),(183,1),(185,1)}
       165:{3,4,5}:{(141,1),(145,1),(181,1),(184,1)}
       166:{3,5,6}:{(141,1),(142,1),(174,1),(184,1),(185,1)}
       167:{1,2,4,5,7}:{(142,1),(143,1),(144,1),(147,1),(175,1),(183,1),(185,1),(186,1),(203,1),(205,1),(209,1)}
       168:{1,4,6}:{(145,1),(146,1),(184,1),(186,1)}
       169:{1,3,5,7}:{(146,1),(147,1),(148,1),(185,1),(186,1)}
       170:{2,3,5,7}:{(149,1),(150,1),(152,1),(162,1),(187,1),(188,1)}
       171:{1,2,6}:{(150,1),(151,1),(188,1)}
       172:{1,3,6,7}:{(151,1),(155,1),(164,1),(189,1),(191,1)}
       173:{3,4,5,7}:{(152,1),(156,1),(165,1),(187,1),(190,1),(198,1),(208,1)}
       174:{3,6}:{(152,1),(153,1)}
       175:{1,2,4,6,7}:{(153,1),(154,1),(155,1),(158,1),(167,1),(189,1),(191,1),(193,1),(207,1)}
       176:{1,4,6}:{(156,1),(157,1),(190,1)}
       177:{1,3,5,6,7}:{(157,1),(158,1),(169,1),(191,1),(193,1),(208,1)}
       178:{2,3,5}:{(159,1),(160,1),(194,1)}
       179:{1,2,4,6}:{(160,1),(161,1),(163,1),(194,1),(195,1),(196,1)}
       180:{1,3,4,7}:{(161,1),(164,1),(195,1),(198,1)}
       181:{2,4,5}:{(162,1),(165,1),(196,1)}
       182:{2,3,5,6}:{(162,1),(163,1),(166,1),(188,1),(194,1),(196,1),(197,1),(206,1)}
       183:{1,2,5,7}:{(163,1),(164,1),(189,1),(195,1),(197,1)}
       184:{3,4,6}:{(165,1),(166,1),(168,1),(196,1),(198,1)}
       185:{3,5,7}:{(166,1),(167,1),(191,1),(198,1)}
       186:{1,4,7}:{(168,1),(169,1),(198,1)}
       187:{2,4,5,7}:{(170,1),(173,1),(181,1),(199,1),(205,1),(209,1)}
       188:{2,3,6}:{(170,1),(171,1),(174,1),(199,1)}
       189:{1,2,6,7}:{(171,1),(172,1),(183,1),(200,1)}
       190:{3,4,6}:{(173,1),(174,1),(176,1),(199,1),(201,1)}
       191:{3,6,7}:{(174,1),(175,1),(185,1)}
       192:{1,4,5,6}:{(176,1),(201,1),(203,1)}
       193:{1,4,6,7}:{(176,1),(177,1),(186,1),(202,1),(203,1)}
       194:{2,3,6}:{(178,1),(179,1),(204,1)}
       195:{1,2,4,7}:{(179,1),(180,1),(183,1),(204,1),(205,1)}
       196:{2,4,6}:{(181,1),(182,1),(184,1),(205,1)}
       197:{2,3,5,7}:{(182,1),(183,1),(185,1),(200,1),(204,1),(205,1),(209,1)}
       198:{3,4,7}:{(184,1),(185,1),(186,1),(205,1)}
       199:{2,4,6}:{(187,1),(188,1),(190,1),(206,1)}
       200:{2,3,6,7}:{(188,1),(189,1),(191,1),(197,1),(207,1)}
       201:{3,5,6}:{(190,1),(192,1),(206,1),(208,1)}
       202:{3,4,6,7}:{(190,1),(191,1),(193,1),(198,1),(207,1),(208,1)}
       203:{1,4,5,7}:{(192,1),(193,1),(208,1)}
       204:{2,3,7}:{(194,1),(195,1)}
       205:{2,4,7}:{(196,1),(197,1),(198,1)}
       206:{2,5,6}:{(199,1),(201,1),(209,1)}
       207:{2,4,6,7}:{(199,1),(200,1),(202,1),(205,1),(209,1)}
       208:{3,5,7}:{(201,1),(202,1),(203,1),(209,1)}
       209:{2,5,7}:{(206,1),(207,1),(208,1)}

1249 :   0:{2,4,5,6,7}:{(1,1),(9,1),(192,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(201,1)}
         2:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(31,1),(190,1)}
         3:{1,5,6,7}:{(1,1),(8,1),(206,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(27,1),(31,1),(157,1)}
         5:{3,4,5,6}:{(7,1),(11,1),(12,1),(36,1),(165,1),(190,1)}
         6:{2,3,4,5,7}:{(13,1),(14,1),(27,1),(60,1),(71,1),(74,1),(103,1),(120,1),(152,1),(156,1)}
         7:{3,4,5,7}:{(2,1),(5,1),(15,1),(16,1),(43,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(199,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(176,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(19,1),(20,1),(42,1),(83,1),(133,1)}
        11:{1,4,5,6}:{(5,1),(15,1),(21,1),(181,1),(199,1)}
        12:{2,4,5,6}:{(5,1),(16,1),(22,1),(145,1),(176,1)}
        13:{2,3,4,6}:{(6,1),(22,1),(24,1),(52,1),(129,1),(174,1),(176,1)}
        14:{1,2,4,5,7}:{(6,1),(24,1),(25,1),(42,1),(55,1),(80,1),(92,1),(95,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(11,1),(26,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(12,1),(27,1)}
        17:{1,3,6,7}:{(8,1),(26,1),(29,1),(31,1),(188,1)}
        18:{2,3,4,6,7}:{(9,1),(13,1),(27,1),(30,1),(31,1),(60,1),(62,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(28,1),(29,1),(31,1),(32,1),(62,1),(153,1)}
        20:{1,3,5,6,7}:{(10,1),(31,1),(32,1),(59,1),(64,1),(109,1)}
        21:{1,3,5,6}:{(11,1),(26,1),(33,1),(34,1),(36,1),(162,1),(188,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(27,1),(35,1),(36,1),(108,1),(120,1)}
        23:{1,2,4,5,6}:{(11,1),(12,1),(28,1),(34,1),(35,1),(36,1),(65,1),(69,1),(70,1),(108,1),(116,1),(153,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(35,1),(37,1),(70,1)}
        25:{1,3,5,7}:{(14,1),(37,1),(39,1),(73,1),(152,1)}
        26:{1,3,5,7}:{(15,1),(17,1),(21,1),(40,1),(41,1),(43,1)}
        27:{2,3,5,7}:{(16,1),(18,1),(22,1),(42,1),(43,1),(83,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(19,1),(23,1),(41,1),(42,1),(43,1),(47,1),(79,1),(80,1),(83,1)}
        29:{1,2,6,7}:{(17,1),(41,1),(44,1),(171,1)}
        30:{1,2,4,6,7}:{(18,1),(24,1),(42,1),(45,1),(80,1)}
        31:{3,6,7}:{(19,1),(43,1),(174,1)}
        32:{1,4,6,7}:{(20,1),(46,1),(47,1),(80,1),(130,1)}
        33:{1,3,4,6}:{(21,1),(40,1),(48,1),(49,1),(52,1)}
        34:{1,2,5,6}:{(21,1),(41,1),(49,1),(50,1),(139,1),(171,1)}
        35:{1,2,5,6}:{(22,1),(24,1),(42,1),(51,1),(95,1)}
        36:{3,5,6}:{(23,1),(43,1),(52,1),(141,1),(174,1)}
        37:{1,3,6}:{(24,1),(25,1),(174,1)}
        38:{1,2,3,5,7}:{(25,1),(53,1),(55,1),(95,1),(97,1)}
        39:{1,3,4,7}:{(25,1),(54,1),(55,1),(80,1),(127,1)}
        40:{1,3,4,7}:{(26,1),(33,1),(57,1),(60,1)}
        41:{1,2,5,7}:{(26,1),(29,1),(34,1),(57,1),(58,1)}
        42:{1,2,5,7}:{(27,1),(30,1),(35,1),(59,1)}
        43:{3,5,7}:{(28,1),(31,1),(36,1),(60,1)}
        44:{2,3,6,7}:{(29,1),(31,1),(58,1),(62,1),(151,1)}
        45:{1,3,6,7}:{(30,1),(31,1),(37,1),(59,1)}
        46:{3,4,6,7}:{(31,1),(32,1),(60,1),(62,1),(64,1),(105,1)}
        47:{1,4,5,7}:{(32,1),(64,1),(65,1)}
        48:{1,3,4,5}:{(33,1),(66,1),(71,1),(159,1),(162,1)}
        49:{1,2,4,6}:{(33,1),(34,1),(57,1),(66,1),(67,1),(69,1)}
        50:{2,3,5,6}:{(34,1),(36,1),(58,1),(67,1),(69,1),(108,1),(114,1),(151,1)}
        51:{1,3,5,6}:{(35,1),(36,1),(37,1),(59,1),(70,1),(73,1)}
        52:{3,4,6}:{(36,1),(60,1),(69,1),(70,1),(71,1)}
        53:{1,2,3,6}:{(37,1),(38,1),(72,1),(123,1)}
        54:{1,3,4,6}:{(37,1),(39,1),(70,1),(72,1),(73,1),(115,1)}
        55:{1,2,4,7}:{(38,1),(39,1),(72,1),(74,1)}
        56:{1,3,4,5,7}:{(39,1),(73,1),(75,1),(76,1),(104,1),(122,1),(152,1),(165,1),(187,1),(198,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(49,1),(77,1),(79,1)}
        58:{2,3,5,7}:{(41,1),(43,1),(44,1),(50,1),(77,1),(79,1),(83,1)}
        59:{1,3,5,7}:{(42,1),(43,1),(45,1),(51,1),(80,1)}
        60:{3,4,7}:{(43,1),(52,1),(79,1),(80,1)}
        61:{1,2,3,6,7}:{(44,1),(45,1),(53,1),(78,1),(82,1),(148,1),(171,1),(174,1),(200,1)}
        62:{2,4,6,7}:{(44,1),(46,1),(79,1),(83,1),(129,1)}
        63:{1,3,4,6,7}:{(45,1),(46,1),(54,1),(80,1),(82,1),(84,1),(127,1),(130,1),(174,1)}
        64:{3,5,7}:{(46,1),(47,1),(83,1),(85,1)}
        65:{1,4,5,6}:{(47,1),(85,1),(130,1)}
        66:{1,2,4,5}:{(48,1),(49,1),(87,1),(91,1),(136,1),(139,1)}
        67:{2,3,6}:{(49,1),(77,1),(87,1)}
        68:{1,2,3,5,6}:{(50,1),(51,1),(53,1),(78,1),(88,1),(90,1),(95,1),(133,1),(139,1),(141,1),(146,1),(171,1),(174,1),(182,1)}
        69:{2,4,6}:{(50,1),(52,1),(79,1),(91,1)}
        70:{1,4,6}:{(51,1),(52,1),(80,1),(92,1)}
        71:{3,4,5}:{(52,1),(91,1),(92,1),(141,1)}
        72:{1,2,4,6}:{(53,1),(54,1),(55,1),(94,1),(95,1)}
        73:{1,3,5}:{(54,1),(92,1),(95,1),(141,1)}
        74:{2,3,4,7}:{(55,1),(94,1),(97,1),(127,1),(186,1)}
        75:{1,2,4,5,7}:{(55,1),(56,1),(95,1),(97,1),(98,1),(145,1),(147,1),(186,1)}
        76:{1,3,4,6}:{(56,1),(96,1),(98,1),(130,1),(174,1),(184,1),(199,1)}
        77:{2,3,7}:{(57,1),(67,1)}
        78:{1,2,3,5,7}:{(58,1),(59,1),(61,1),(68,1),(100,1),(102,1),(107,1),(150,1),(152,1),(169,1),(197,1)}
        79:{2,4,7}:{(58,1),(60,1),(69,1)}
        80:{1,4,7}:{(59,1),(60,1),(70,1)}
        81:{3,4,5,7}:{(60,1),(64,1),(71,1),(103,1),(104,1),(105,1),(152,1)}
        82:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(72,1),(102,1),(106,1),(107,1),(153,1),(207,1)}
        83:{2,5,7}:{(62,1),(64,1),(108,1)}
        84:{1,3,5,7}:{(63,1),(64,1),(73,1),(104,1),(107,1),(109,1),(152,1)}
        85:{3,5,6}:{(64,1),(65,1),(105,1),(108,1)}
        86:{1,4,5,6,7}:{(65,1),(110,1),(155,1)}
        87:{2,3,5}:{(66,1),(67,1),(112,1)}
        88:{1,2,3,6}:{(67,1),(100,1),(111,1),(113,1),(194,1)}
        89:{2,3,4,6}:{(67,1),(69,1),(101,1),(112,1),(113,1),(114,1),(115,1),(151,1)}
        90:{1,2,4,6}:{(68,1),(69,1),(70,1),(102,1),(115,1),(116,1),(168,1),(196,1)}
        91:{2,4,5}:{(69,1),(71,1),(114,1)}
        92:{1,4,5}:{(70,1),(71,1),(73,1)}
        93:{3,4,5,6}:{(71,1),(105,1),(117,1),(118,1),(119,1),(166,1)}
        94:{2,3,4,6}:{(72,1),(74,1),(115,1),(120,1),(123,1),(168,1)}
        95:{1,2,5}:{(72,1),(73,1),(120,1)}
        96:{1,3,5,6}:{(73,1),(76,1),(118,1),(121,1),(122,1),(166,1),(206,1)}
        97:{2,3,5,7}:{(74,1),(75,1),(120,1),(123,1),(152,1)}
        98:{1,2,4,6}:{(75,1),(76,1),(121,1),(123,1),(168,1)}
        99:{1,3,4,6,7}:{(76,1),(122,1),(124,1),(155,1),(191,1),(198,1),(207,1)}
       100:{1,2,3,7}:{(77,1),(88,1),(125,1),(204,1)}
       101:{2,3,4,7}:{(77,1),(79,1),(89,1),(125,1),(126,1),(127,1)}
       102:{1,2,4,7}:{(78,1),(79,1),(80,1),(90,1),(127,1),(186,1),(205,1)}
       103:{2,4,5,7}:{(79,1),(81,1),(83,1),(91,1),(126,1),(129,1)}
       104:{1,4,5,7}:{(80,1),(81,1),(84,1),(92,1),(130,1)}
       105:{3,4,6}:{(81,1),(85,1),(129,1),(130,1),(174,1)}
       106:{2,3,4,6,7}:{(82,1),(94,1),(127,1),(132,1),(148,1),(174,1),(176,1),(186,1),(202,1)}
       107:{1,2,5,7}:{(82,1),(83,1),(84,1),(95,1),(132,1),(133,1),(209,1)}
       108:{2,5,6}:{(83,1),(85,1),(129,1)}
       109:{1,3,5,6}:{(84,1),(85,1),(130,1),(133,1),(174,1)}
       110:{3,5,6,7}:{(85,1),(86,1),(131,1),(134,1)}
       111:{1,2,3,5}:{(87,1),(88,1),(136,1),(139,1),(178,1)}
       112:{2,3,4}:{(87,1),(136,1)}
       113:{1,2,4,6}:{(88,1),(89,1),(125,1),(136,1),(138,1),(139,1),(171,1)}
       114:{2,3,5}:{(89,1),(91,1),(139,1),(141,1)}
       115:{3,4,6}:{(90,1),(127,1),(141,1),(174,1)}
       116:{1,2,4,5}:{(90,1),(91,1),(92,1),(95,1),(139,1),(141,1),(145,1),(181,1)}
       117:{2,4,5,6}:{(91,1),(93,1),(129,1),(140,1),(143,1)}
       118:{1,4,5,6}:{(92,1),(93,1),(96,1),(130,1),(144,1)}
       119:{3,4,5,7}:{(93,1),(131,1),(143,1),(144,1),(185,1)}
       120:{2,3,5}:{(94,1),(95,1),(141,1),(145,1)}
       121:{1,2,5,6}:{(95,1),(96,1),(98,1),(146,1),(147,1)}
       122:{1,3,5,7}:{(96,1),(99,1),(144,1),(147,1),(185,1),(209,1)}
       123:{2,3,6}:{(97,1),(98,1),(174,1)}
       124:{1,2,4,6,7}:{(98,1),(99,1),(147,1),(148,1),(186,1)}
       125:{1,2,4,7}:{(100,1),(101,1),(113,1),(149,1),(150,1)}
       126:{2,3,5,7}:{(101,1),(103,1),(114,1),(150,1),(151,1),(152,1)}
       127:{3,4,7}:{(102,1),(115,1),(152,1)}
       128:{1,2,4,5,7}:{(102,1),(103,1),(104,1),(107,1),(116,1),(150,1),(152,1),(153,1),(156,1),(187,1)}
       129:{2,4,6}:{(103,1),(105,1),(108,1),(151,1)}
       130:{1,4,6}:{(104,1),(105,1),(109,1)}
       131:{3,4,6,7}:{(105,1),(110,1),(119,1),(154,1),(155,1),(191,1)}
       132:{2,3,5,7}:{(106,1),(107,1),(120,1),(152,1),(156,1),(157,1),(208,1)}
       133:{1,2,5,6}:{(107,1),(108,1),(109,1),(153,1),(157,1),(206,1)}
       134:{2,5,6,7}:{(108,1),(110,1),(154,1)}
       135:{1,3,5,6,7}:{(109,1),(110,1),(122,1),(155,1),(158,1),(191,1)}
       136:{1,2,4}:{(111,1),(112,1),(159,1)}
       137:{2,3,4,5}:{(112,1),(114,1),(160,1),(161,1),(165,1)}
       138:{1,3,4,6}:{(113,1),(115,1),(149,1),(159,1),(162,1),(188,1),(194,1),(196,1)}
       139:{1,2,5}:{(113,1),(114,1),(162,1)}
       140:{2,3,5,6}:{(114,1),(117,1),(151,1),(161,1),(163,1),(164,1),(166,1)}
       141:{3,5}:{(115,1),(116,1)}
       142:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(121,1),(153,1),(163,1),(166,1),(167,1),(168,1),(192,1),(196,1),(206,1)}
       143:{2,4,5,7}:{(117,1),(119,1),(154,1),(164,1)}
       144:{1,4,5,7}:{(118,1),(119,1),(122,1),(155,1)}
       145:{2,4,5}:{(120,1),(165,1),(168,1)}
       146:{2,3,5,6}:{(120,1),(121,1),(123,1),(166,1),(168,1),(169,1)}
       147:{1,2,5,7}:{(121,1),(122,1),(124,1),(169,1)}
       148:{2,3,6,7}:{(123,1),(124,1),(169,1),(191,1)}
       149:{1,3,4,7}:{(125,1),(127,1),(138,1),(170,1),(204,1),(205,1)}
       150:{1,2,5,7}:{(125,1),(126,1),(139,1),(170,1),(171,1)}
       151:{2,3,6}:{(126,1),(129,1),(171,1),(174,1)}
       152:{3,5,7}:{(127,1),(128,1),(141,1),(174,1)}
       153:{1,2,4,6}:{(128,1),(129,1),(130,1),(133,1),(171,1),(174,1),(176,1),(199,1)}
       154:{2,4,6,7}:{(129,1),(131,1),(134,1),(143,1),(172,1)}
       155:{1,4,6,7}:{(130,1),(131,1),(135,1),(144,1)}
       156:{2,4,5,7}:{(132,1),(145,1),(173,1),(176,1),(186,1)}
       157:{2,3,5,6}:{(132,1),(133,1),(174,1),(176,1),(201,1)}
       158:{1,2,5,6,7}:{(133,1),(134,1),(135,1),(147,1),(175,1),(177,1),(209,1)}
       159:{1,3,4}:{(136,1),(178,1)}
       160:{1,2,4,5}:{(136,1),(137,1),(139,1),(178,1),(179,1),(181,1)}
       161:{2,3,4,6}:{(137,1),(140,1),(179,1),(180,1),(184,1)}
       162:{1,3,5}:{(138,1),(139,1),(141,1),(181,1)}
       163:{1,2,5,6}:{(139,1),(140,1),(171,1),(179,1),(182,1),(183,1)}
       164:{2,3,5,7}:{(140,1),(143,1),(172,1),(180,1),(183,1),(185,1)}
       165:{3,4,5}:{(141,1),(145,1),(181,1),(184,1)}
       166:{3,5,6}:{(141,1),(142,1),(174,1),(184,1),(185,1)}
       167:{1,2,4,5,7}:{(142,1),(143,1),(144,1),(147,1),(175,1),(183,1),(185,1),(186,1),(203,1),(205,1),(209,1)}
       168:{2,4,6}:{(145,1),(146,1),(184,1),(186,1)}
       169:{2,3,5,7}:{(146,1),(147,1),(148,1),(185,1),(186,1)}
       170:{1,3,5,7}:{(149,1),(150,1),(152,1),(162,1),(187,1),(188,1)}
       171:{1,2,6}:{(150,1),(151,1),(188,1)}
       172:{2,3,6,7}:{(151,1),(154,1),(164,1),(189,1),(191,1)}
       173:{3,4,5,7}:{(152,1),(156,1),(165,1),(187,1),(190,1),(198,1),(208,1)}
       174:{3,6}:{(152,1),(153,1)}
       175:{1,2,4,6,7}:{(153,1),(154,1),(155,1),(158,1),(167,1),(189,1),(191,1),(193,1),(207,1)}
       176:{2,4,6}:{(156,1),(157,1),(190,1)}
       177:{2,3,5,6,7}:{(157,1),(158,1),(169,1),(191,1),(193,1),(208,1)}
       178:{1,3,5}:{(159,1),(160,1),(194,1)}
       179:{1,2,4,6}:{(160,1),(161,1),(163,1),(194,1),(195,1),(196,1)}
       180:{2,3,4,7}:{(161,1),(164,1),(195,1),(198,1)}
       181:{1,4,5}:{(162,1),(165,1),(196,1)}
       182:{1,3,5,6}:{(162,1),(163,1),(166,1),(188,1),(194,1),(196,1),(197,1),(206,1)}
       183:{1,2,5,7}:{(163,1),(164,1),(189,1),(195,1),(197,1)}
       184:{3,4,6}:{(165,1),(166,1),(168,1),(196,1),(198,1)}
       185:{3,5,7}:{(166,1),(167,1),(191,1),(198,1)}
       186:{2,4,7}:{(168,1),(169,1),(198,1)}
       187:{1,4,5,7}:{(170,1),(173,1),(181,1),(199,1),(205,1),(209,1)}
       188:{1,3,6}:{(170,1),(171,1),(174,1),(199,1)}
       189:{1,2,6,7}:{(171,1),(172,1),(183,1),(200,1)}
       190:{3,4,6}:{(173,1),(174,1),(176,1),(199,1),(201,1)}
       191:{3,6,7}:{(174,1),(175,1),(185,1)}
       192:{2,4,5,6}:{(176,1),(201,1),(203,1)}
       193:{2,4,6,7}:{(176,1),(177,1),(186,1),(202,1),(203,1)}
       194:{1,3,6}:{(178,1),(179,1),(204,1)}
       195:{1,2,4,7}:{(179,1),(180,1),(183,1),(204,1),(205,1)}
       196:{1,4,6}:{(181,1),(182,1),(184,1),(205,1)}
       197:{1,3,5,7}:{(182,1),(183,1),(185,1),(200,1),(204,1),(205,1),(209,1)}
       198:{3,4,7}:{(184,1),(185,1),(186,1),(205,1)}
       199:{1,4,6}:{(187,1),(188,1),(190,1),(206,1)}
       200:{1,3,6,7}:{(188,1),(189,1),(191,1),(197,1),(207,1)}
       201:{3,5,6}:{(190,1),(192,1),(206,1),(208,1)}
       202:{3,4,6,7}:{(190,1),(191,1),(193,1),(198,1),(207,1),(208,1)}
       203:{2,4,5,7}:{(192,1),(193,1),(208,1)}
       204:{1,3,7}:{(194,1),(195,1)}
       205:{1,4,7}:{(196,1),(197,1),(198,1)}
       206:{1,5,6}:{(199,1),(201,1),(209,1)}
       207:{1,4,6,7}:{(199,1),(200,1),(202,1),(205,1),(209,1)}
       208:{3,5,7}:{(201,1),(202,1),(203,1),(209,1)}
       209:{1,5,7}:{(206,1),(207,1),(208,1)}

1250 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(17,1),(18,1),(38,1),(47,1),(74,1),(75,1),(78,1),(102,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(58,1),(59,1),(87,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(21,1),(26,1),(27,1),(28,1),(58,1),(59,1)}
         3:{3,5,6}:{(0,1),(6,1),(7,1),(65,1),(89,1),(101,1)}
         4:{3,5,6,7}:{(1,1),(10,1),(11,1),(39,1),(95,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(10,1),(11,1),(40,1),(41,1),(42,1),(78,1)}
         6:{3,5,7}:{(2,1),(3,1),(11,1),(12,1)}
         7:{3,4,6}:{(3,1),(12,1),(15,1),(16,1),(17,1),(48,1),(80,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(16,1),(18,1),(36,1),(48,1),(69,1),(70,1),(74,1),(91,1),(95,1),(102,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(33,1),(48,1),(66,1),(73,1),(75,1),(93,1),(95,1),(103,1)}
        10:{4,6,7}:{(4,1),(21,1),(100,1)}
        11:{3,6,7}:{(5,1),(6,1),(89,1)}
        12:{3,4,7}:{(6,1),(7,1),(26,1),(27,1),(64,1)}
        13:{1,3,5,7}:{(6,1),(8,1),(23,1),(26,1),(28,1),(58,1),(64,1),(88,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(24,1),(27,1),(28,1),(59,1),(64,1),(88,1)}
        15:{3,4,5}:{(7,1),(29,1),(30,1),(65,1),(101,1)}
        16:{1,4,6}:{(7,1),(8,1),(26,1),(29,1),(83,1),(100,1)}
        17:{2,4,6}:{(7,1),(9,1),(27,1),(30,1),(86,1),(100,1)}
        18:{1,2,5,6}:{(8,1),(9,1),(28,1),(31,1),(51,1),(55,1),(81,1),(84,1)}
        19:{2,3,4,6}:{(17,1),(32,1),(33,1),(34,1),(48,1),(66,1),(80,1),(97,1)}
        20:{1,3,4,6}:{(16,1),(35,1),(36,1),(37,1),(48,1),(70,1),(80,1),(97,1)}
        21:{4,5,7}:{(10,1),(38,1),(39,1),(96,1),(104,1)}
        22:{3,4,6,7}:{(10,1),(11,1),(12,1),(39,1),(40,1),(41,1),(43,1),(77,1),(96,1),(97,1)}
        23:{1,3,6,7}:{(11,1),(13,1),(40,1),(42,1),(70,1),(77,1),(91,1)}
        24:{2,3,6,7}:{(11,1),(14,1),(41,1),(42,1),(66,1),(77,1),(93,1)}
        25:{3,4,5,7}:{(12,1),(15,1),(39,1),(43,1),(44,1),(45,1),(79,1),(96,1),(104,1)}
        26:{1,4,7}:{(12,1),(13,1),(16,1),(96,1)}
        27:{2,4,7}:{(12,1),(14,1),(17,1),(96,1)}
        28:{1,2,5,7}:{(13,1),(14,1),(18,1),(42,1),(46,1)}
        29:{1,4,5}:{(15,1),(16,1),(36,1),(102,1),(104,1)}
        30:{2,4,5}:{(15,1),(17,1),(33,1),(103,1),(104,1)}
        31:{1,2,4,6}:{(16,1),(17,1),(18,1),(46,1),(47,1),(48,1)}
        32:{2,3,4,7}:{(19,1),(27,1),(49,1),(50,1),(64,1),(90,1)}
        33:{2,3,5}:{(19,1),(30,1),(51,1),(65,1),(101,1)}
        34:{1,2,4,6}:{(19,1),(50,1),(51,1),(52,1),(81,1),(83,1),(98,1)}
        35:{1,3,4,7}:{(20,1),(26,1),(53,1),(54,1),(64,1),(90,1)}
        36:{1,3,5}:{(20,1),(29,1),(55,1),(65,1),(101,1)}
        37:{1,2,4,6}:{(20,1),(54,1),(55,1),(56,1),(84,1),(86,1),(99,1)}
        38:{4,5,6}:{(21,1),(57,1),(100,1)}
        39:{3,5,7}:{(21,1),(22,1),(57,1),(58,1),(59,1),(101,1)}
        40:{1,4,6,7}:{(22,1),(23,1),(26,1),(58,1),(61,1),(98,1)}
        41:{2,4,6,7}:{(22,1),(24,1),(27,1),(59,1),(62,1),(99,1)}
        42:{1,2,6,7}:{(23,1),(24,1),(28,1),(81,1),(84,1)}
        43:{3,4,6}:{(25,1),(57,1),(61,1),(62,1),(89,1),(100,1)}
        44:{1,4,5,7}:{(25,1),(26,1),(29,1),(53,1),(58,1),(61,1)}
        45:{2,4,5,7}:{(25,1),(27,1),(30,1),(49,1),(59,1),(62,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(28,1),(31,1),(64,1)}
        47:{1,2,4,5}:{(29,1),(30,1),(31,1),(51,1),(55,1),(65,1),(83,1),(86,1)}
        48:{3,6}:{(31,1),(64,1),(65,1)}
        49:{2,3,5,7}:{(32,1),(33,1),(45,1),(66,1),(67,1),(79,1)}
        50:{1,2,4,7}:{(32,1),(34,1),(67,1),(68,1),(92,1)}
        51:{1,2,5}:{(33,1),(34,1),(69,1),(102,1)}
        52:{1,3,6}:{(34,1),(48,1),(68,1),(69,1)}
        53:{1,3,5,7}:{(35,1),(36,1),(44,1),(70,1),(71,1),(79,1)}
        54:{1,2,4,7}:{(35,1),(37,1),(71,1),(72,1),(94,1)}
        55:{1,2,5}:{(36,1),(37,1),(73,1),(103,1)}
        56:{2,3,6}:{(37,1),(48,1),(72,1),(73,1)}
        57:{3,5,6}:{(38,1),(39,1),(43,1),(74,1),(75,1)}
        58:{1,5,7}:{(39,1),(40,1),(74,1),(102,1)}
        59:{2,5,7}:{(39,1),(41,1),(75,1),(103,1)}
        60:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(46,1),(76,1),(77,1),(78,1),(96,1)}
        61:{1,4,6}:{(43,1),(44,1),(70,1),(74,1)}
        62:{2,4,6}:{(43,1),(45,1),(66,1),(75,1)}
        63:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(47,1),(67,1),(71,1),(76,1),(78,1),(79,1),(92,1),(94,1),(96,1),(102,1),(103,1),(104,1)}
        64:{3,7}:{(46,1),(48,1)}
        65:{3,5}:{(47,1),(48,1),(80,1)}
        66:{2,3,6}:{(49,1),(62,1),(81,1),(89,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(51,1),(81,1),(82,1)}
        68:{1,3,7}:{(50,1),(52,1),(64,1)}
        69:{1,3,5}:{(51,1),(52,1),(65,1),(83,1)}
        70:{1,3,6}:{(53,1),(61,1),(84,1),(89,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(55,1),(84,1),(85,1)}
        72:{2,3,7}:{(54,1),(56,1),(64,1)}
        73:{2,3,5}:{(55,1),(56,1),(65,1),(86,1)}
        74:{1,5,6}:{(57,1),(58,1),(61,1)}
        75:{2,5,6}:{(57,1),(59,1),(62,1)}
        76:{1,2,5,7}:{(58,1),(59,1),(60,1),(87,1),(88,1)}
        77:{3,6,7}:{(60,1),(64,1),(88,1),(89,1)}
        78:{1,2,4,6}:{(61,1),(62,1),(63,1),(81,1),(84,1),(87,1),(89,1),(98,1),(99,1),(100,1)}
        79:{3,5,7}:{(63,1),(64,1),(65,1),(89,1),(90,1),(101,1)}
        80:{3,4}:{(65,1),(83,1),(86,1)}
        81:{1,2,6}:{(66,1),(67,1),(91,1)}
        82:{1,3,5,7}:{(67,1),(68,1),(69,1),(79,1),(91,1),(92,1),(102,1)}
        83:{1,4}:{(69,1),(80,1)}
        84:{1,2,6}:{(70,1),(71,1),(93,1)}
        85:{2,3,5,7}:{(71,1),(72,1),(73,1),(79,1),(93,1),(94,1),(103,1)}
        86:{2,4}:{(73,1),(80,1)}
        87:{1,2,5,6}:{(74,1),(75,1),(76,1),(78,1),(95,1),(102,1),(103,1)}
        88:{3,5,7}:{(76,1),(77,1),(95,1),(96,1)}
        89:{3,6}:{(78,1),(79,1)}
        90:{3,4,7}:{(79,1),(80,1),(92,1),(94,1),(96,1),(97,1)}
        91:{1,3,6}:{(81,1),(82,1),(89,1),(98,1)}
        92:{1,4,7}:{(82,1),(83,1),(90,1),(98,1)}
        93:{2,3,6}:{(84,1),(85,1),(89,1),(99,1)}
        94:{2,4,7}:{(85,1),(86,1),(90,1),(99,1)}
        95:{3,5,6}:{(87,1),(88,1),(89,1),(100,1),(101,1)}
        96:{4,7}:{(88,1),(100,1)}
        97:{3,4,6}:{(89,1),(90,1),(98,1),(99,1),(100,1),(101,1)}
        98:{1,4,6}:{(91,1),(92,1),(97,1),(102,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(103,1)}
       100:{4,6}:{(95,1),(96,1),(104,1)}
       101:{3,5}:{(97,1),(102,1),(103,1),(104,1)}
       102:{1,5}:{(98,1),(101,1)}
       103:{2,5}:{(99,1),(101,1)}
       104:{4,5}:{(100,1),(101,1)}

1251 :   0:{1,2,5,6,7}:{(1,1),(2,1),(33,1),(34,1),(65,1)}
         1:{3,5,6,7}:{(0,1),(5,1),(6,1),(20,1),(80,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(21,1),(22,1),(23,1),(78,1)}
         3:{1,2,4,5,6}:{(4,1),(7,1),(19,1),(25,1),(26,1),(27,1),(47,1),(48,1),(55,1),(78,1),(99,1),(103,1),(104,1)}
         4:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(29,1),(30,1),(31,1),(33,1),(34,1)}
         5:{4,6,7}:{(1,1),(9,1),(91,1)}
         6:{3,6,7}:{(2,1),(8,1),(89,1)}
         7:{3,5,6}:{(3,1),(8,1),(13,1),(71,1),(89,1),(102,1)}
         8:{3,5,7}:{(4,1),(6,1),(7,1),(16,1)}
         9:{4,5,7}:{(5,1),(19,1),(20,1),(81,1),(99,1)}
        10:{3,4,6,7}:{(5,1),(6,1),(16,1),(20,1),(21,1),(22,1),(43,1),(50,1),(81,1),(98,1)}
        11:{1,3,6,7}:{(6,1),(17,1),(21,1),(23,1),(50,1),(75,1),(94,1)}
        12:{2,3,6,7}:{(6,1),(18,1),(22,1),(23,1),(50,1),(72,1),(96,1)}
        13:{3,4,6}:{(7,1),(16,1),(24,1),(25,1),(26,1),(56,1),(84,1)}
        14:{1,3,5,6}:{(7,1),(17,1),(25,1),(27,1),(47,1),(53,1),(56,1),(75,1),(80,1),(82,1),(94,1),(103,1)}
        15:{2,3,5,6}:{(7,1),(18,1),(26,1),(27,1),(48,1),(51,1),(56,1),(72,1),(80,1),(83,1),(96,1),(104,1)}
        16:{3,4,7}:{(8,1),(13,1),(29,1),(30,1),(64,1)}
        17:{1,3,5,7}:{(8,1),(11,1),(14,1),(29,1),(31,1),(33,1),(64,1),(66,1)}
        18:{2,3,5,7}:{(8,1),(12,1),(15,1),(30,1),(31,1),(34,1),(64,1),(66,1)}
        19:{4,5,6}:{(9,1),(32,1),(91,1)}
        20:{3,5,7}:{(9,1),(10,1),(32,1),(33,1),(34,1),(102,1)}
        21:{1,4,6,7}:{(10,1),(11,1),(29,1),(33,1),(61,1),(100,1)}
        22:{2,4,6,7}:{(10,1),(12,1),(30,1),(34,1),(62,1),(101,1)}
        23:{1,2,6,7}:{(11,1),(12,1),(31,1),(85,1),(87,1)}
        24:{3,4,5}:{(13,1),(38,1),(39,1),(71,1),(102,1)}
        25:{1,4,6}:{(13,1),(14,1),(29,1),(38,1),(91,1),(92,1)}
        26:{2,4,6}:{(13,1),(15,1),(30,1),(39,1),(91,1),(93,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(31,1),(40,1),(67,1),(69,1),(85,1),(87,1)}
        28:{3,4,5,7}:{(16,1),(20,1),(24,1),(43,1),(44,1),(45,1),(79,1),(81,1),(99,1)}
        29:{1,4,7}:{(16,1),(17,1),(25,1),(81,1)}
        30:{2,4,7}:{(16,1),(18,1),(26,1),(81,1)}
        31:{1,2,5,7}:{(17,1),(18,1),(23,1),(27,1),(46,1)}
        32:{3,5,6}:{(19,1),(20,1),(43,1),(47,1),(48,1)}
        33:{1,5,7}:{(20,1),(21,1),(47,1),(103,1)}
        34:{2,5,7}:{(20,1),(22,1),(48,1),(104,1)}
        35:{1,2,4,6,7}:{(21,1),(22,1),(23,1),(46,1),(49,1),(50,1),(78,1),(81,1)}
        36:{2,3,4,6}:{(26,1),(41,1),(51,1),(52,1),(56,1),(72,1),(84,1),(98,1)}
        37:{1,3,4,6}:{(25,1),(42,1),(53,1),(54,1),(56,1),(75,1),(84,1),(98,1)}
        38:{1,4,5}:{(24,1),(25,1),(53,1),(99,1),(103,1)}
        39:{2,4,5}:{(24,1),(26,1),(51,1),(99,1),(104,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(46,1),(55,1),(56,1)}
        41:{2,3,4,7}:{(30,1),(36,1),(57,1),(58,1),(64,1),(90,1)}
        42:{1,3,4,7}:{(29,1),(37,1),(59,1),(60,1),(64,1),(90,1)}
        43:{3,4,6}:{(28,1),(32,1),(61,1),(62,1),(89,1),(91,1)}
        44:{1,4,5,7}:{(28,1),(29,1),(33,1),(38,1),(59,1),(61,1)}
        45:{2,4,5,7}:{(28,1),(30,1),(34,1),(39,1),(57,1),(62,1)}
        46:{1,2,4,7}:{(29,1),(30,1),(31,1),(40,1),(64,1)}
        47:{1,5,6}:{(32,1),(33,1),(61,1)}
        48:{2,5,6}:{(32,1),(34,1),(62,1)}
        49:{1,2,5,7}:{(33,1),(34,1),(35,1),(65,1),(66,1)}
        50:{3,6,7}:{(35,1),(64,1),(66,1),(89,1)}
        51:{2,3,5}:{(36,1),(39,1),(67,1),(71,1),(102,1)}
        52:{1,2,4,6}:{(36,1),(58,1),(67,1),(68,1),(85,1),(92,1),(100,1)}
        53:{1,3,5}:{(37,1),(38,1),(69,1),(71,1),(102,1)}
        54:{1,2,4,6}:{(37,1),(60,1),(69,1),(70,1),(87,1),(93,1),(101,1)}
        55:{1,2,4,5}:{(38,1),(39,1),(40,1),(67,1),(69,1),(71,1),(92,1),(93,1)}
        56:{3,6}:{(40,1),(64,1),(71,1)}
        57:{2,3,5,7}:{(41,1),(45,1),(51,1),(72,1),(73,1),(79,1)}
        58:{1,2,4,7}:{(41,1),(52,1),(73,1),(74,1),(95,1)}
        59:{1,3,5,7}:{(42,1),(44,1),(53,1),(75,1),(76,1),(79,1)}
        60:{1,2,4,7}:{(42,1),(54,1),(76,1),(77,1),(97,1)}
        61:{1,4,6}:{(43,1),(44,1),(47,1),(75,1)}
        62:{2,4,6}:{(43,1),(45,1),(48,1),(72,1)}
        63:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(49,1),(55,1),(73,1),(76,1),(78,1),(79,1),(81,1),(95,1),(97,1),(99,1),(103,1),(104,1)}
        64:{3,7}:{(46,1),(56,1)}
        65:{1,2,5,6}:{(47,1),(48,1),(49,1),(78,1),(80,1),(103,1),(104,1)}
        66:{3,5,7}:{(49,1),(50,1),(80,1),(81,1)}
        67:{1,2,5}:{(51,1),(52,1),(82,1),(103,1)}
        68:{1,3,6}:{(52,1),(56,1),(74,1),(82,1)}
        69:{1,2,5}:{(53,1),(54,1),(83,1),(104,1)}
        70:{2,3,6}:{(54,1),(56,1),(77,1),(83,1)}
        71:{3,5}:{(55,1),(56,1),(84,1)}
        72:{2,3,6}:{(57,1),(62,1),(85,1),(89,1)}
        73:{1,2,5,7}:{(57,1),(58,1),(67,1),(85,1),(86,1)}
        74:{1,3,7}:{(58,1),(64,1),(68,1)}
        75:{1,3,6}:{(59,1),(61,1),(87,1),(89,1)}
        76:{1,2,5,7}:{(59,1),(60,1),(69,1),(87,1),(88,1)}
        77:{2,3,7}:{(60,1),(64,1),(70,1)}
        78:{1,2,4,6}:{(61,1),(62,1),(63,1),(65,1),(85,1),(87,1),(89,1),(91,1),(100,1),(101,1)}
        79:{3,5,7}:{(63,1),(64,1),(71,1),(89,1),(90,1),(102,1)}
        80:{3,5,6}:{(65,1),(66,1),(89,1),(91,1),(102,1)}
        81:{4,7}:{(66,1),(91,1)}
        82:{1,3,5}:{(67,1),(68,1),(71,1),(92,1)}
        83:{2,3,5}:{(69,1),(70,1),(71,1),(93,1)}
        84:{3,4}:{(71,1),(92,1),(93,1)}
        85:{1,2,6}:{(72,1),(73,1),(94,1)}
        86:{1,3,5,7}:{(73,1),(74,1),(79,1),(82,1),(94,1),(95,1),(103,1)}
        87:{1,2,6}:{(75,1),(76,1),(96,1)}
        88:{2,3,5,7}:{(76,1),(77,1),(79,1),(83,1),(96,1),(97,1),(104,1)}
        89:{3,6}:{(78,1),(79,1)}
        90:{3,4,7}:{(79,1),(81,1),(84,1),(95,1),(97,1),(98,1)}
        91:{4,6}:{(80,1),(81,1),(99,1)}
        92:{1,4}:{(82,1),(84,1)}
        93:{2,4}:{(83,1),(84,1)}
        94:{1,3,6}:{(85,1),(86,1),(89,1),(100,1)}
        95:{1,4,7}:{(86,1),(90,1),(92,1),(100,1)}
        96:{2,3,6}:{(87,1),(88,1),(89,1),(101,1)}
        97:{2,4,7}:{(88,1),(90,1),(93,1),(101,1)}
        98:{3,4,6}:{(89,1),(90,1),(91,1),(100,1),(101,1),(102,1)}
        99:{4,5}:{(91,1),(102,1)}
       100:{1,4,6}:{(94,1),(95,1),(98,1),(103,1)}
       101:{2,4,6}:{(96,1),(97,1),(98,1),(104,1)}
       102:{3,5}:{(98,1),(99,1),(103,1),(104,1)}
       103:{1,5}:{(100,1),(102,1)}
       104:{2,5}:{(101,1),(102,1)}

1252 :   0:{1,2,3,4,6}:{(1,1),(2,1),(6,1),(10,1),(48,1),(51,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(13,1),(63,1)}
         3:{1,2,3,5,6}:{(1,1),(6,1),(7,1),(10,1),(19,1),(27,1),(43,1),(48,1)}
         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)}
         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),(37,1),(58,1),(63,1)}
         8:{3,4,5}:{(4,1),(12,1)}
         9:{1,2,4,5,7}:{(4,1),(5,1),(13,1),(17,1),(18,1),(37,1)}
        10:{1,2,3,6}:{(5,1),(18,1)}
        11:{1,2,4,5,6}:{(6,1),(19,1),(20,1),(27,1),(40,1),(41,1),(43,1),(52,1)}
        12:{3,4,6}:{(6,1),(8,1),(19,1),(23,1)}
        13:{1,2,4,7}:{(6,1),(7,1),(23,1)}
        14:{1,2,3,6,7}:{(7,1),(10,1),(24,1),(46,1),(72,1)}
        15:{1,3,4,5}:{(8,1),(21,1),(25,1),(86,1)}
        16:{2,3,4,5}:{(8,1),(22,1),(25,1),(86,1)}
        17:{3,4,5,7}:{(8,1),(9,1),(23,1),(26,1),(50,1)}
        18:{1,2,4,6}:{(9,1),(10,1),(26,1),(27,1)}
        19:{3,5,6}:{(11,1),(12,1),(31,1)}
        20:{1,2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(37,1),(54,1),(55,1),(58,1),(64,1)}
        21:{1,3,4,6}:{(12,1),(15,1),(29,1),(33,1),(34,1),(76,1)}
        22:{2,3,4,6}:{(12,1),(16,1),(30,1),(33,1),(35,1),(76,1)}
        23:{3,4,7}:{(12,1),(13,1),(31,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(18,1),(36,1),(37,1)}
        25:{1,2,4,5}:{(15,1),(16,1),(33,1),(38,1)}
        26:{3,4,6}:{(17,1),(18,1),(39,1)}
        27:{1,2,5,6}:{(18,1),(37,1),(39,1)}
        28:{3,4,5,6}:{(19,1),(40,1),(41,1),(42,1),(52,1),(65,1),(104,1)}
        29:{1,3,5,6}:{(19,1),(21,1),(40,1),(43,1),(44,1),(65,1)}
        30:{2,3,5,6}:{(19,1),(22,1),(41,1),(43,1),(45,1),(65,1)}
        31:{3,5,7}:{(19,1),(20,1),(23,1),(46,1)}
        32:{1,2,4,6,7}:{(20,1),(46,1),(47,1),(67,1),(68,1),(72,1),(73,1)}
        33:{1,2,4,6}:{(21,1),(22,1),(25,1),(43,1),(48,1),(49,1)}
        34:{1,3,4,7}:{(21,1),(23,1),(44,1),(49,1),(87,1)}
        35:{2,3,4,7}:{(22,1),(23,1),(45,1),(49,1),(87,1)}
        36:{3,4,6,7}:{(23,1),(24,1),(26,1),(46,1),(50,1),(73,1)}
        37:{1,2,5,7}:{(24,1),(27,1),(50,1)}
        38:{1,2,3,5}:{(25,1),(48,1),(51,1)}
        39:{3,5,6}:{(26,1),(27,1),(50,1),(52,1)}
        40:{1,4,5,6}:{(28,1),(29,1),(54,1)}
        41:{2,4,5,6}:{(28,1),(30,1),(55,1)}
        42:{3,4,5,7}:{(28,1),(31,1),(54,1),(55,1),(56,1),(64,1),(77,1),(103,1)}
        43:{1,2,5,6}:{(29,1),(30,1),(33,1),(58,1)}
        44:{1,3,5,7}:{(29,1),(31,1),(34,1),(54,1),(58,1),(59,1),(77,1)}
        45:{2,3,5,7}:{(30,1),(31,1),(35,1),(55,1),(58,1),(60,1),(77,1)}
        46:{3,6,7}:{(31,1),(32,1)}
        47:{1,2,5,6,7}:{(32,1),(37,1),(61,1),(79,1),(80,1)}
        48:{1,2,3,6}:{(33,1),(38,1),(63,1)}
        49:{1,2,4,7}:{(33,1),(34,1),(35,1),(58,1),(63,1)}
        50:{3,5,7}:{(36,1),(37,1),(39,1),(64,1)}
        51:{1,2,3,4}:{(38,1)}
        52:{4,5,6}:{(39,1),(64,1)}
        53:{1,2,4,5,6}:{(40,1),(41,1),(43,1),(65,1),(66,1),(70,1),(101,1),(104,1)}
        54:{1,4,5,7}:{(40,1),(42,1),(44,1),(67,1)}
        55:{2,4,5,7}:{(41,1),(42,1),(45,1),(68,1)}
        56:{3,4,6,7}:{(42,1),(46,1),(67,1),(68,1),(69,1),(73,1),(88,1),(100,1)}
        57:{1,2,3,5,6}:{(43,1),(48,1),(65,1),(70,1),(71,1),(74,1),(92,1),(101,1)}
        58:{1,2,5,7}:{(43,1),(44,1),(45,1),(49,1),(72,1)}
        59:{1,3,6,7}:{(44,1),(46,1),(67,1),(72,1),(88,1)}
        60:{2,3,6,7}:{(45,1),(46,1),(68,1),(72,1),(88,1)}
        61:{3,5,6,7}:{(46,1),(47,1),(50,1),(73,1)}
        62:{1,2,3,4,6}:{(48,1),(51,1),(70,1),(74,1),(75,1),(92,1)}
        63:{1,2,3,7}:{(48,1),(49,1)}
        64:{4,5,7}:{(50,1),(52,1),(73,1)}
        65:{3,5,6}:{(53,1),(76,1),(77,1)}
        66:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(58,1),(77,1),(78,1),(83,1),(97,1),(103,1)}
        67:{1,4,6,7}:{(54,1),(56,1),(59,1),(79,1)}
        68:{2,4,6,7}:{(55,1),(56,1),(60,1),(80,1)}
        69:{3,5,6,7}:{(56,1),(79,1),(80,1),(81,1)}
        70:{1,2,4,6}:{(57,1),(76,1),(82,1),(83,1)}
        71:{1,2,3,5,7}:{(57,1),(58,1),(63,1),(77,1),(83,1),(84,1),(97,1)}
        72:{1,2,6,7}:{(58,1),(59,1),(60,1)}
        73:{4,6,7}:{(61,1),(64,1)}
        74:{1,2,3,5}:{(62,1),(82,1)}
        75:{1,2,3,4,7}:{(62,1),(63,1),(83,1),(85,1)}
        76:{3,4,6}:{(65,1),(70,1),(86,1),(87,1)}
        77:{3,5,7}:{(65,1),(66,1),(87,1),(88,1)}
        78:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(72,1),(88,1),(89,1),(100,1)}
        79:{1,5,6,7}:{(67,1),(69,1)}
        80:{2,5,6,7}:{(68,1),(69,1)}
        81:{4,5,6,7}:{(69,1),(73,1),(100,1)}
        82:{1,2,4,5}:{(70,1),(74,1),(86,1)}
        83:{1,2,4,7}:{(70,1),(71,1),(87,1)}
        84:{1,2,3,6,7}:{(71,1),(72,1),(88,1),(91,1),(92,1)}
        85:{1,2,3,5,7}:{(74,1),(75,1),(90,1),(92,1)}
        86:{3,4,5}:{(76,1),(82,1)}
        87:{3,4,7}:{(76,1),(77,1),(83,1)}
        88:{3,6,7}:{(77,1),(78,1)}
        89:{1,2,5,6,7}:{(78,1),(79,1),(80,1),(95,1),(97,1)}
        90:{1,2,4,5,7}:{(82,1),(83,1),(85,1),(93,1),(96,1),(97,1)}
        91:{1,2,4,6,7}:{(83,1),(84,1),(94,1),(96,1),(97,1)}
        92:{1,2,3,6}:{(85,1),(96,1)}
        93:{3,4,5,7}:{(86,1),(87,1),(90,1),(98,1),(99,1)}
        94:{3,4,6,7}:{(87,1),(88,1),(91,1),(98,1),(99,1),(100,1)}
        95:{3,5,6,7}:{(88,1),(89,1),(99,1),(100,1)}
        96:{1,2,4,6}:{(90,1),(92,1),(98,1),(101,1)}
        97:{1,2,5,7}:{(91,1),(99,1),(101,1)}
        98:{3,4,6}:{(93,1),(96,1),(102,1)}
        99:{3,5,7}:{(94,1),(97,1),(102,1),(103,1)}
       100:{4,6,7}:{(95,1),(103,1)}
       101:{1,2,5,6}:{(96,1),(97,1),(102,1)}
       102:{3,5,6}:{(98,1),(99,1),(101,1),(104,1)}
       103:{4,5,7}:{(99,1),(100,1),(104,1)}
       104:{4,5,6}:{(102,1),(103,1)}

1253 :   0:{1,2,3,4,7}:{(1,1),(2,1),(21,1),(65,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1)}
         2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(15,1),(54,1),(55,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(21,1)}
         4:{1,2,3,6}:{(1,1),(7,1)}
         5:{1,2,3,5}:{(2,1),(10,1)}
         6:{3,4,5,7}:{(3,1),(11,1),(16,1),(25,1),(30,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(11,1),(13,1)}
         8:{1,2,3,6,7}:{(4,1),(12,1),(14,1),(49,1),(72,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(15,1),(29,1),(52,1),(54,1)}
        10:{1,2,4,5}:{(5,1),(15,1),(16,1)}
        11:{3,4,6}:{(6,1),(7,1),(18,1)}
        12:{1,2,4,6,7}:{(7,1),(8,1),(17,1),(19,1),(21,1)}
        13:{1,2,5,6}:{(7,1),(18,1),(19,1)}
        14:{1,2,3,5,7}:{(8,1),(9,1),(19,1),(21,1),(38,1),(63,1),(65,1)}
        15:{1,2,4,6}:{(9,1),(10,1),(21,1),(22,1)}
        16:{3,4,5}:{(10,1),(22,1)}
        17:{3,4,6,7}:{(11,1),(12,1),(25,1),(30,1),(45,1),(49,1)}
        18:{3,5,6}:{(11,1),(13,1),(25,1),(26,1)}
        19:{1,2,5,7}:{(12,1),(13,1),(25,1)}
        20:{1,2,4,5,6}:{(13,1),(15,1),(26,1),(28,1),(29,1),(47,1),(48,1),(52,1)}
        21:{1,2,4,7}:{(14,1),(15,1),(30,1)}
        22:{3,4,6}:{(15,1),(16,1),(29,1),(30,1)}
        23:{1,3,4,5}:{(16,1),(31,1),(33,1),(89,1)}
        24:{2,3,4,5}:{(16,1),(32,1),(33,1),(89,1)}
        25:{3,5,7}:{(17,1),(18,1),(19,1),(35,1)}
        26:{4,5,6}:{(18,1),(35,1)}
        27:{1,2,5,6,7}:{(19,1),(34,1),(37,1),(77,1),(78,1)}
        28:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(35,1),(37,1),(38,1),(58,1),(59,1),(63,1)}
        29:{3,5,6}:{(20,1),(22,1),(38,1)}
        30:{3,4,7}:{(21,1),(22,1),(38,1)}
        31:{1,3,4,6}:{(22,1),(23,1),(39,1),(41,1),(43,1),(81,1)}
        32:{2,3,4,6}:{(22,1),(24,1),(40,1),(42,1),(43,1),(81,1)}
        33:{1,2,4,5}:{(23,1),(24,1),(43,1),(44,1)}
        34:{3,5,6,7}:{(25,1),(27,1),(45,1),(49,1)}
        35:{4,5,7}:{(25,1),(26,1),(45,1)}
        36:{3,4,5,6}:{(26,1),(29,1),(46,1),(47,1),(48,1),(71,1),(104,1)}
        37:{1,2,4,6,7}:{(27,1),(28,1),(45,1),(49,1),(68,1),(69,1),(72,1)}
        38:{3,5,7}:{(28,1),(29,1),(30,1),(49,1)}
        39:{1,3,5,6}:{(29,1),(31,1),(47,1),(50,1),(52,1),(71,1)}
        40:{2,3,5,6}:{(29,1),(32,1),(48,1),(51,1),(52,1),(71,1)}
        41:{1,3,4,7}:{(30,1),(31,1),(50,1),(53,1),(88,1)}
        42:{2,3,4,7}:{(30,1),(32,1),(51,1),(53,1),(88,1)}
        43:{1,2,4,6}:{(31,1),(32,1),(33,1),(52,1),(53,1),(54,1)}
        44:{1,2,3,5}:{(33,1),(54,1),(55,1)}
        45:{4,6,7}:{(34,1),(35,1)}
        46:{3,4,5,7}:{(35,1),(36,1),(38,1),(57,1),(58,1),(59,1),(80,1),(102,1)}
        47:{1,4,5,6}:{(36,1),(39,1),(58,1)}
        48:{2,4,5,6}:{(36,1),(40,1),(59,1)}
        49:{3,6,7}:{(37,1),(38,1)}
        50:{1,3,5,7}:{(38,1),(39,1),(41,1),(58,1),(61,1),(63,1),(80,1)}
        51:{2,3,5,7}:{(38,1),(40,1),(42,1),(59,1),(62,1),(63,1),(80,1)}
        52:{1,2,5,6}:{(39,1),(40,1),(43,1),(63,1)}
        53:{1,2,4,7}:{(41,1),(42,1),(43,1),(63,1),(65,1)}
        54:{1,2,3,6}:{(43,1),(44,1),(65,1)}
        55:{1,2,3,4}:{(44,1)}
        56:{4,5,6,7}:{(45,1),(67,1),(98,1)}
        57:{3,4,6,7}:{(45,1),(46,1),(49,1),(67,1),(68,1),(69,1),(87,1),(98,1)}
        58:{1,4,5,7}:{(46,1),(47,1),(50,1),(68,1)}
        59:{2,4,5,7}:{(46,1),(48,1),(51,1),(69,1)}
        60:{1,2,4,5,6}:{(47,1),(48,1),(52,1),(70,1),(71,1),(74,1),(101,1),(104,1)}
        61:{1,3,6,7}:{(49,1),(50,1),(68,1),(72,1),(87,1)}
        62:{2,3,6,7}:{(49,1),(51,1),(69,1),(72,1),(87,1)}
        63:{1,2,5,7}:{(50,1),(51,1),(52,1),(53,1),(72,1)}
        64:{1,2,3,5,6}:{(52,1),(54,1),(71,1),(73,1),(74,1),(76,1),(92,1),(101,1)}
        65:{1,2,3,7}:{(53,1),(54,1)}
        66:{1,2,3,4,6}:{(54,1),(55,1),(74,1),(75,1),(76,1),(92,1)}
        67:{3,5,6,7}:{(56,1),(57,1),(77,1),(78,1)}
        68:{1,4,6,7}:{(57,1),(58,1),(61,1),(77,1)}
        69:{2,4,6,7}:{(57,1),(59,1),(62,1),(78,1)}
        70:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(63,1),(79,1),(80,1),(83,1),(96,1),(102,1)}
        71:{3,5,6}:{(60,1),(80,1),(81,1)}
        72:{1,2,6,7}:{(61,1),(62,1),(63,1)}
        73:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(80,1),(82,1),(83,1),(96,1)}
        74:{1,2,4,6}:{(64,1),(81,1),(83,1),(84,1)}
        75:{1,2,3,4,7}:{(65,1),(66,1),(83,1),(85,1)}
        76:{1,2,3,5}:{(66,1),(84,1)}
        77:{1,5,6,7}:{(67,1),(68,1)}
        78:{2,5,6,7}:{(67,1),(69,1)}
        79:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(72,1),(86,1),(87,1),(98,1)}
        80:{3,5,7}:{(70,1),(71,1),(87,1),(88,1)}
        81:{3,4,6}:{(71,1),(74,1),(88,1),(89,1)}
        82:{1,2,3,6,7}:{(72,1),(73,1),(87,1),(90,1),(92,1)}
        83:{1,2,4,7}:{(73,1),(74,1),(88,1)}
        84:{1,2,4,5}:{(74,1),(76,1),(89,1)}
        85:{1,2,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,2,5,6,7}:{(77,1),(78,1),(79,1),(93,1),(96,1)}
        87:{3,6,7}:{(79,1),(80,1)}
        88:{3,4,7}:{(80,1),(81,1),(83,1)}
        89:{3,4,5}:{(81,1),(84,1)}
        90:{1,2,4,6,7}:{(82,1),(83,1),(94,1),(96,1),(97,1)}
        91:{1,2,4,5,7}:{(83,1),(84,1),(85,1),(95,1),(96,1),(97,1)}
        92:{1,2,3,6}:{(85,1),(97,1)}
        93:{3,5,6,7}:{(86,1),(87,1),(98,1),(99,1)}
        94:{3,4,6,7}:{(87,1),(88,1),(90,1),(98,1),(99,1),(100,1)}
        95:{3,4,5,7}:{(88,1),(89,1),(91,1),(99,1),(100,1)}
        96:{1,2,5,7}:{(90,1),(99,1),(101,1)}
        97:{1,2,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{4,6,7}:{(93,1),(102,1)}
        99:{3,5,7}:{(94,1),(96,1),(102,1),(103,1)}
       100:{3,4,6}:{(95,1),(97,1),(103,1)}
       101:{1,2,5,6}:{(96,1),(97,1),(103,1)}
       102:{4,5,7}:{(98,1),(99,1),(104,1)}
       103:{3,5,6}:{(99,1),(100,1),(101,1),(104,1)}
       104:{4,5,6}:{(102,1),(103,1)}

1254 :   0:{1,3,4,6,7}:{(2,1),(3,1),(14,1),(36,1),(42,1),(45,1),(67,1),(73,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(37,1),(42,1),(45,1),(68,1),(74,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(26,1),(29,1),(52,1),(53,1),(80,1),(87,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(30,1),(49,1),(85,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(8,1),(10,1),(30,1),(50,1),(86,1)}
         5:{1,3,5,6}:{(3,1),(13,1),(14,1),(39,1),(42,1)}
         6:{2,3,5,6}:{(4,1),(13,1),(15,1),(40,1),(42,1)}
         7:{1,2,3,6,7}:{(2,1),(16,1),(42,1),(67,1),(68,1),(75,1),(96,1),(101,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(4,1),(13,1),(65,1),(66,1),(95,1)}
         9:{1,4,5,7}:{(3,1),(14,1),(18,1),(89,1),(92,1)}
        10:{2,4,5,7}:{(4,1),(15,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(5,1),(20,1),(21,1),(49,1),(51,1),(78,1)}
        12:{2,3,5,6,7}:{(6,1),(20,1),(22,1),(50,1),(51,1),(79,1)}
        13:{1,2,5,6}:{(5,1),(6,1),(8,1),(26,1),(55,1),(56,1)}
        14:{1,4,6}:{(5,1),(9,1),(27,1)}
        15:{2,4,6}:{(6,1),(10,1),(28,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(25,1),(29,1),(30,1),(63,1),(78,1),(79,1),(88,1),(100,1)}
        17:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(26,1),(29,1),(30,1),(31,1),(32,1),(57,1),(63,1),(97,1),(98,1)}
        18:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(49,1),(77,1),(81,1)}
        19:{3,4,5,7}:{(10,1),(28,1),(30,1),(32,1),(50,1),(77,1),(81,1)}
        20:{1,2,5,6,7}:{(11,1),(12,1),(13,1),(35,1),(65,1),(66,1),(91,1)}
        21:{1,4,6,7}:{(11,1),(14,1),(33,1),(36,1),(89,1)}
        22:{2,4,6,7}:{(12,1),(15,1),(34,1),(37,1),(90,1)}
        23:{1,4,5,6}:{(14,1),(33,1),(39,1)}
        24:{2,4,5,6}:{(15,1),(34,1),(40,1)}
        25:{1,2,3,5,6}:{(13,1),(16,1),(41,1),(42,1),(70,1),(71,1),(72,1),(75,1),(95,1),(96,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(42,1),(43,1),(44,1),(75,1)}
        27:{3,4,6}:{(14,1),(18,1),(39,1),(42,1),(43,1)}
        28:{3,4,6}:{(15,1),(19,1),(40,1),(42,1),(44,1)}
        29:{1,2,4,7}:{(16,1),(41,1),(45,1),(89,1),(90,1),(103,1)}
        30:{3,5,7}:{(17,1),(42,1),(45,1),(72,1),(101,1),(102,1)}
        31:{2,4,5,7}:{(18,1),(43,1),(47,1),(65,1),(90,1),(93,1)}
        32:{1,4,5,7}:{(19,1),(44,1),(46,1),(66,1),(89,1),(92,1)}
        33:{1,4,5,7}:{(21,1),(23,1),(49,1)}
        34:{2,4,5,7}:{(22,1),(24,1),(50,1)}
        35:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(26,1),(48,1),(51,1),(52,1),(53,1),(80,1),(97,1)}
        36:{3,4,6,7}:{(21,1),(27,1),(49,1),(51,1),(52,1),(77,1)}
        37:{3,4,6,7}:{(22,1),(28,1),(50,1),(51,1),(53,1),(77,1)}
        38:{1,2,4,5,6}:{(23,1),(24,1),(26,1),(48,1),(54,1),(55,1),(56,1),(57,1),(82,1),(83,1),(84,1)}
        39:{3,5,6}:{(23,1),(27,1),(49,1),(55,1)}
        40:{3,5,6}:{(24,1),(28,1),(50,1),(56,1)}
        41:{1,2,4,6}:{(25,1),(29,1),(57,1),(58,1),(82,1),(83,1)}
        42:{3,6}:{(26,1),(30,1)}
        43:{2,4,6}:{(27,1),(31,1),(55,1),(60,1)}
        44:{1,4,6}:{(28,1),(32,1),(56,1),(59,1)}
        45:{3,4,7}:{(29,1),(30,1),(58,1),(104,1)}
        46:{1,3,5,7}:{(30,1),(32,1),(59,1),(61,1),(63,1),(85,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(60,1),(62,1),(63,1),(86,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(38,1),(64,1),(65,1),(66,1),(89,1),(90,1),(91,1)}
        49:{3,5,7}:{(33,1),(36,1),(39,1),(65,1)}
        50:{3,5,7}:{(34,1),(37,1),(40,1),(66,1)}
        51:{3,6,7}:{(35,1),(42,1),(64,1),(101,1)}
        52:{2,4,6,7}:{(36,1),(43,1),(65,1),(68,1),(90,1)}
        53:{1,4,6,7}:{(37,1),(44,1),(66,1),(67,1),(89,1)}
        54:{3,5,6}:{(38,1),(42,1),(64,1),(69,1),(72,1)}
        55:{2,5,6}:{(39,1),(43,1),(65,1)}
        56:{1,5,6}:{(40,1),(44,1),(66,1)}
        57:{1,2,4,5}:{(41,1),(72,1),(92,1),(93,1),(95,1)}
        58:{3,4,6}:{(41,1),(42,1),(45,1),(72,1)}
        59:{1,3,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{2,3,6}:{(42,1),(43,1),(47,1),(75,1)}
        61:{1,3,4,7}:{(45,1),(46,1),(73,1),(76,1),(89,1),(101,1)}
        62:{2,3,4,7}:{(45,1),(47,1),(74,1),(76,1),(90,1),(101,1)}
        63:{1,2,5,7}:{(46,1),(47,1),(75,1),(76,1),(95,1)}
        64:{3,5,7}:{(48,1),(51,1),(54,1),(77,1)}
        65:{2,5,7}:{(49,1),(52,1),(55,1)}
        66:{1,5,7}:{(50,1),(53,1),(56,1)}
        67:{1,3,6,7}:{(51,1),(53,1),(59,1),(78,1),(80,1)}
        68:{2,3,6,7}:{(51,1),(52,1),(60,1),(79,1),(80,1)}
        69:{3,4,6}:{(54,1),(77,1),(81,1),(82,1),(83,1),(99,1)}
        70:{1,3,5,6}:{(54,1),(56,1),(59,1),(78,1),(82,1),(84,1),(85,1),(99,1)}
        71:{2,3,5,6}:{(54,1),(55,1),(60,1),(79,1),(83,1),(84,1),(86,1),(99,1)}
        72:{3,5}:{(57,1),(58,1)}
        73:{1,3,4,6}:{(58,1),(59,1),(61,1),(82,1),(85,1),(87,1),(99,1),(104,1)}
        74:{2,3,4,6}:{(58,1),(60,1),(62,1),(83,1),(86,1),(87,1),(99,1),(104,1)}
        75:{1,2,6}:{(59,1),(60,1),(63,1)}
        76:{1,2,4,7}:{(61,1),(62,1),(63,1),(87,1),(88,1)}
        77:{3,4,7}:{(64,1),(69,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(66,1),(67,1),(70,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(68,1),(71,1),(90,1),(91,1),(101,1)}
        80:{1,2,6,7}:{(67,1),(68,1),(75,1),(91,1)}
        81:{3,4,5}:{(69,1),(72,1),(92,1),(93,1),(102,1)}
        82:{1,4,6}:{(69,1),(70,1),(89,1),(92,1)}
        83:{2,4,6}:{(69,1),(71,1),(90,1),(93,1)}
        84:{1,2,5,6}:{(70,1),(71,1),(75,1),(91,1),(94,1),(95,1)}
        85:{1,3,5}:{(72,1),(73,1),(92,1),(95,1),(102,1)}
        86:{2,3,5}:{(72,1),(74,1),(93,1),(95,1),(102,1)}
        87:{1,2,4,6}:{(73,1),(74,1),(75,1),(76,1),(95,1),(96,1),(103,1)}
        88:{1,2,3,7}:{(76,1),(96,1),(101,1)}
        89:{1,4,7}:{(77,1),(78,1),(82,1)}
        90:{2,4,7}:{(77,1),(79,1),(83,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(80,1),(84,1),(97,1)}
        92:{1,4,5}:{(81,1),(82,1),(85,1)}
        93:{2,4,5}:{(81,1),(83,1),(86,1)}
        94:{1,2,4,6}:{(82,1),(83,1),(84,1),(97,1),(98,1),(99,1)}
        95:{1,2,5}:{(85,1),(86,1),(87,1)}
        96:{1,2,3,6}:{(87,1),(88,1),(99,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(94,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
        99:{3,6}:{(94,1),(101,1),(102,1)}
       100:{1,2,3,5}:{(95,1),(96,1),(102,1),(103,1)}
       101:{3,7}:{(97,1),(99,1)}
       102:{3,5}:{(98,1),(99,1),(104,1)}
       103:{1,2,4}:{(100,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1255 :  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:{3,4,5}:{(2,1),(7,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
        6:{1,2,3,7}:{(3,1),(9,1)}
        7:{3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,5,6}:{(5,1),(10,1),(12,1)}
        9:{1,2,4,7}:{(5,1),(6,1),(11,1),(12,1)}
       10:{3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{3,4,7}:{(7,1),(9,1),(14,1)}
       12:{1,2,5,7}:{(8,1),(9,1),(14,1),(15,1)}
       13:{4,5,6}:{(10,1),(16,1)}
       14:{3,5,7}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
       15:{1,2,6,7}:{(12,1),(17,1)}
       16:{4,5,7}:{(13,1),(14,1),(18,1)}
       17:{3,6,7}:{(14,1),(15,1),(18,1)}
       18:{4,6,7}:{(16,1),(17,1),(19,1)}
       19:{5,6,7}:{(18,1)}

1256 :   0:{1,2,3,6,7}:{(3,1),(4,1),(41,1),(74,1),(75,1),(79,1),(83,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(41,1),(46,1),(49,1),(75,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(45,1),(53,1),(74,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(7,1),(9,1),(25,1),(65,1),(68,1),(71,1),(89,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(26,1),(61,1),(66,1),(87,1),(88,1),(94,1)}
         5:{2,3,5,7}:{(1,1),(7,1),(10,1),(11,1),(26,1),(64,1),(67,1)}
         6:{1,3,5,7}:{(2,1),(7,1),(12,1),(13,1),(26,1),(63,1),(70,1)}
         7:{1,2,5,7}:{(3,1),(5,1),(6,1),(14,1),(82,1),(84,1),(85,1)}
         8:{1,2,3,5,6}:{(4,1),(14,1),(16,1),(41,1),(44,1),(77,1),(78,1),(79,1),(82,1),(83,1)}
         9:{1,2,4,7}:{(4,1),(16,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(14,1),(19,1),(41,1),(50,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(81,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(14,1),(22,1),(41,1),(54,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(80,1),(95,1)}
        14:{1,2,5,6}:{(7,1),(10,1),(12,1),(25,1),(69,1),(72,1)}
        15:{1,2,4,5,7}:{(7,1),(9,1),(11,1),(13,1),(25,1),(26,1),(27,1),(34,1),(38,1),(61,1),(93,1),(101,1)}
        16:{1,2,4,6}:{(8,1),(9,1),(27,1),(28,1),(90,1),(91,1)}
        17:{3,4,7}:{(9,1),(26,1),(28,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(24,1),(31,1),(57,1),(67,1),(88,1)}
        19:{2,4,6}:{(10,1),(11,1),(33,1)}
        20:{3,4,5,7}:{(11,1),(26,1),(33,1),(34,1),(62,1),(67,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(24,1),(35,1),(57,1),(70,1),(87,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(26,1),(37,1),(38,1),(62,1),(70,1),(86,1)}
        24:{1,2,5,6,7}:{(14,1),(18,1),(21,1),(39,1),(84,1),(85,1),(97,1)}
        25:{1,2,4,6}:{(14,1),(15,1),(19,1),(22,1),(41,1),(51,1),(55,1),(79,1)}
        26:{3,5,7}:{(15,1),(17,1),(41,1),(44,1),(99,1),(104,1)}
        27:{1,2,4,5}:{(16,1),(44,1),(80,1),(81,1),(82,1)}
        28:{3,4,6}:{(16,1),(17,1),(41,1),(44,1)}
        29:{1,3,4,7}:{(17,1),(42,1),(45,1),(47,1),(95,1),(104,1)}
        30:{2,3,4,7}:{(17,1),(43,1),(46,1),(47,1),(96,1),(104,1)}
        31:{2,4,6,7}:{(18,1),(19,1),(48,1),(49,1),(96,1)}
        32:{2,4,5,6}:{(19,1),(48,1),(50,1)}
        33:{3,4,6}:{(19,1),(20,1),(41,1),(50,1),(51,1)}
        34:{1,4,5,7}:{(20,1),(42,1),(51,1),(80,1),(84,1),(95,1)}
        35:{1,4,6,7}:{(21,1),(22,1),(52,1),(53,1),(95,1)}
        36:{1,4,5,6}:{(22,1),(52,1),(54,1)}
        37:{3,4,6}:{(22,1),(23,1),(41,1),(54,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(43,1),(55,1),(81,1),(85,1),(96,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(31,1),(35,1),(56,1),(57,1),(68,1),(71,1),(89,1),(101,1)}
        40:{1,2,4,5,6}:{(25,1),(27,1),(32,1),(36,1),(56,1),(58,1),(69,1),(72,1),(90,1),(91,1),(92,1)}
        41:{3,6}:{(25,1),(26,1)}
        42:{1,3,5,7}:{(26,1),(29,1),(34,1),(59,1),(61,1),(63,1)}
        43:{2,3,5,7}:{(26,1),(30,1),(38,1),(60,1),(61,1),(64,1)}
        44:{3,5}:{(27,1),(28,1)}
        45:{1,3,4,6}:{(28,1),(29,1),(59,1),(63,1),(65,1),(90,1),(102,1),(103,1)}
        46:{2,3,4,6}:{(28,1),(30,1),(60,1),(64,1),(65,1),(91,1),(102,1),(103,1)}
        47:{1,2,4,7}:{(29,1),(30,1),(61,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(31,1),(32,1),(67,1)}
        49:{3,4,6,7}:{(31,1),(33,1),(57,1),(67,1),(68,1),(86,1)}
        50:{3,5,6}:{(32,1),(33,1),(67,1),(69,1)}
        51:{1,4,6}:{(33,1),(34,1),(59,1),(69,1)}
        52:{1,4,5,7}:{(35,1),(36,1),(70,1)}
        53:{3,4,6,7}:{(35,1),(37,1),(57,1),(70,1),(71,1),(86,1)}
        54:{3,5,6}:{(36,1),(37,1),(70,1),(72,1)}
        55:{2,4,6}:{(37,1),(38,1),(60,1),(72,1)}
        56:{1,2,4,5,7}:{(39,1),(40,1),(48,1),(52,1),(73,1),(84,1),(85,1),(95,1),(96,1),(97,1)}
        57:{3,6,7}:{(39,1),(41,1),(73,1),(104,1)}
        58:{3,5,6}:{(40,1),(41,1),(44,1),(73,1),(76,1)}
        59:{1,3,6}:{(41,1),(42,1),(51,1),(79,1)}
        60:{2,3,6}:{(41,1),(43,1),(55,1),(79,1)}
        61:{1,2,5,7}:{(42,1),(43,1),(47,1),(79,1),(82,1)}
        62:{3,4,5}:{(44,1),(76,1),(80,1),(81,1),(99,1)}
        63:{1,3,5}:{(44,1),(45,1),(80,1),(82,1),(99,1)}
        64:{2,3,5}:{(44,1),(46,1),(81,1),(82,1),(99,1)}
        65:{1,2,4,6}:{(45,1),(46,1),(47,1),(79,1),(82,1),(83,1),(100,1)}
        66:{1,2,3,7}:{(47,1),(83,1),(104,1)}
        67:{3,5,7}:{(48,1),(49,1),(50,1),(84,1)}
        68:{1,4,6,7}:{(49,1),(51,1),(74,1),(84,1),(95,1)}
        69:{1,5,6}:{(50,1),(51,1),(84,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{2,4,6,7}:{(53,1),(55,1),(75,1),(85,1),(96,1)}
        72:{2,5,6}:{(54,1),(55,1),(85,1)}
        73:{3,5,7}:{(56,1),(57,1),(58,1),(86,1)}
        74:{1,3,6,7}:{(57,1),(59,1),(68,1),(87,1),(89,1)}
        75:{2,3,6,7}:{(57,1),(60,1),(71,1),(88,1),(89,1)}
        76:{3,4,6}:{(58,1),(62,1),(86,1),(90,1),(91,1),(102,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(69,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(64,1),(72,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,6}:{(59,1),(60,1),(61,1)}
        80:{1,4,5}:{(62,1),(63,1),(90,1)}
        81:{2,4,5}:{(62,1),(64,1),(91,1)}
        82:{1,2,5}:{(63,1),(64,1),(65,1)}
        83:{1,2,3,6}:{(65,1),(66,1),(94,1),(102,1)}
        84:{1,5,7}:{(67,1),(68,1),(69,1)}
        85:{2,5,7}:{(70,1),(71,1),(72,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,3,5,7}:{(73,1),(74,1),(77,1),(84,1),(95,1),(97,1),(104,1)}
        88:{2,3,5,7}:{(73,1),(75,1),(78,1),(85,1),(96,1),(97,1),(104,1)}
        89:{1,2,6,7}:{(74,1),(75,1),(79,1),(97,1)}
        90:{1,4,6}:{(76,1),(77,1),(80,1),(95,1)}
        91:{2,4,6}:{(76,1),(78,1),(81,1),(96,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(82,1),(97,1),(98,1)}
        93:{1,2,4,5}:{(80,1),(81,1),(82,1),(98,1),(99,1),(100,1)}
        94:{1,2,3,5}:{(82,1),(83,1),(99,1),(100,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,5,7}:{(87,1),(88,1),(89,1),(92,1),(101,1)}
        98:{1,2,4,6}:{(90,1),(91,1),(92,1),(93,1),(101,1),(102,1)}
        99:{3,5}:{(93,1),(102,1),(103,1)}
       100:{1,2,4}:{(94,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       102:{3,6}:{(98,1),(99,1),(104,1)}
       103:{3,4}:{(99,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1257 :   0:{1,2,3,6}:{(3,1),(4,1),(5,1),(72,1),(128,1)}
         1:{2,3,4,6}:{(5,1),(6,1),(7,1),(20,1),(28,1),(29,1),(70,1),(72,1)}
         2:{1,3,4,6}:{(5,1),(8,1),(9,1),(20,1),(33,1),(34,1),(70,1),(72,1)}
         3:{1,2,3,5}:{(0,1),(11,1),(13,1),(38,1),(42,1),(97,1)}
         4:{1,2,3,7}:{(0,1),(12,1),(106,1),(154,1),(190,1)}
         5:{1,2,4,6}:{(0,1),(1,1),(2,1),(11,1),(12,1),(13,1),(46,1)}
         6:{2,3,4,7}:{(1,1),(12,1),(15,1),(41,1),(52,1),(106,1),(191,1)}
         7:{2,3,5}:{(1,1),(13,1),(14,1),(42,1),(104,1)}
         8:{1,3,4,7}:{(2,1),(12,1),(18,1),(41,1),(58,1),(106,1),(192,1)}
         9:{1,3,5}:{(2,1),(13,1),(17,1),(42,1),(104,1)}
        10:{1,2,3,5,7}:{(3,1),(4,1),(21,1),(22,1),(24,1),(64,1),(71,1),(73,1),(125,1),(127,1)}
        11:{1,2,4}:{(3,1),(20,1)}
        12:{1,2,4,7}:{(4,1),(5,1),(6,1),(8,1),(24,1),(208,1)}
        13:{1,2,5}:{(5,1),(7,1),(9,1)}
        14:{2,4,5}:{(7,1),(26,1),(28,1),(135,1)}
        15:{2,3,5,7}:{(6,1),(7,1),(24,1),(27,1),(29,1),(71,1),(209,1),(228,1)}
        16:{2,3,5,6}:{(7,1),(25,1),(28,1),(29,1),(30,1),(60,1),(72,1),(81,1),(136,1)}
        17:{1,4,5}:{(9,1),(31,1),(33,1),(135,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(24,1),(32,1),(34,1),(71,1),(210,1),(229,1)}
        19:{1,3,5,6}:{(9,1),(25,1),(33,1),(34,1),(35,1),(62,1),(72,1),(87,1),(136,1)}
        20:{3,4}:{(11,1),(42,1)}
        21:{1,2,3,6}:{(10,1),(43,1),(46,1),(105,1),(153,1)}
        22:{1,2,4,7}:{(10,1),(11,1),(41,1),(43,1),(151,1)}
        23:{1,2,4,5}:{(11,1),(13,1),(14,1),(17,1),(42,1),(45,1),(48,1),(54,1),(97,1)}
        24:{1,2,5,7}:{(12,1),(13,1),(15,1),(18,1),(46,1),(221,1),(230,1)}
        25:{1,2,5,6}:{(13,1),(16,1),(19,1),(45,1),(46,1),(47,1),(89,1),(92,1)}
        26:{3,4,5}:{(14,1),(42,1),(48,1),(50,1)}
        27:{2,4,5,7}:{(14,1),(15,1),(49,1),(51,1),(52,1),(113,1),(199,1),(226,1)}
        28:{2,4,6}:{(14,1),(16,1),(50,1),(52,1),(161,1)}
        29:{2,3,6}:{(15,1),(46,1),(51,1),(105,1)}
        30:{2,3,5,7}:{(16,1),(47,1),(52,1),(53,1),(90,1),(106,1),(113,1),(162,1)}
        31:{3,4,5}:{(17,1),(42,1),(54,1),(56,1)}
        32:{1,4,5,7}:{(17,1),(18,1),(55,1),(57,1),(58,1),(118,1),(196,1),(225,1)}
        33:{1,4,6}:{(17,1),(19,1),(56,1),(58,1),(161,1)}
        34:{1,3,6}:{(18,1),(46,1),(57,1),(105,1)}
        35:{1,3,5,7}:{(19,1),(47,1),(58,1),(59,1),(93,1),(106,1),(118,1),(162,1)}
        36:{2,4,5,6}:{(28,1),(60,1),(61,1),(81,1),(141,1)}
        37:{1,4,5,6}:{(33,1),(62,1),(63,1),(87,1),(145,1)}
        38:{1,2,3}:{(65,1)}
        39:{2,3,4}:{(20,1),(65,1),(67,1)}
        40:{1,3,4}:{(20,1),(65,1),(69,1)}
        41:{3,4,7}:{(20,1),(22,1),(70,1),(71,1),(173,1),(183,1)}
        42:{3,5}:{(20,1),(23,1),(72,1)}
        43:{1,2,4,6}:{(21,1),(22,1),(70,1),(73,1)}
        44:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(27,1),(32,1),(71,1),(73,1),(74,1),(75,1),(77,1),(83,1),(127,1),(135,1),(138,1),(174,1),(183,1),(212,1)}
        45:{1,2,4,6}:{(23,1),(25,1),(28,1),(33,1),(72,1),(75,1),(78,1),(84,1),(128,1)}
        46:{1,2,6}:{(24,1),(29,1),(34,1)}
        47:{1,2,5,7}:{(25,1),(30,1),(35,1),(75,1),(76,1),(119,1),(122,1)}
        48:{1,4,5}:{(26,1),(69,1),(78,1)}
        49:{3,4,5,7}:{(26,1),(27,1),(71,1),(77,1),(79,1),(80,1),(135,1),(142,1),(180,1),(183,1),(216,1)}
        50:{3,4,6}:{(26,1),(28,1),(60,1),(72,1),(78,1),(80,1)}
        51:{2,4,6}:{(27,1),(29,1),(79,1),(81,1)}
        52:{2,4,7}:{(28,1),(30,1),(80,1),(183,1)}
        53:{2,3,6,7}:{(29,1),(30,1),(76,1),(82,1),(120,1),(137,1),(228,1)}
        54:{2,4,5}:{(31,1),(67,1),(84,1)}
        55:{3,4,5,7}:{(31,1),(32,1),(71,1),(83,1),(85,1),(86,1),(135,1),(146,1),(177,1),(183,1),(214,1)}
        56:{3,4,6}:{(31,1),(33,1),(62,1),(72,1),(84,1),(86,1)}
        57:{1,4,6}:{(32,1),(34,1),(85,1),(87,1)}
        58:{1,4,7}:{(33,1),(35,1),(86,1),(183,1)}
        59:{1,3,6,7}:{(34,1),(35,1),(76,1),(88,1),(123,1),(137,1),(229,1)}
        60:{3,5,6}:{(36,1),(50,1),(89,1),(90,1)}
        61:{2,4,5,7}:{(36,1),(52,1),(90,1),(91,1),(113,1),(165,1)}
        62:{3,5,6}:{(37,1),(56,1),(92,1),(93,1)}
        63:{1,4,5,7}:{(37,1),(58,1),(93,1),(94,1),(118,1),(168,1)}
        64:{1,2,3,7}:{(38,1),(95,1),(96,1),(224,1),(230,1)}
        65:{1,2,4}:{(38,1),(39,1),(40,1),(97,1)}
        66:{2,3,4,7}:{(39,1),(41,1),(96,1),(98,1),(99,1),(198,1),(224,1)}
        67:{2,3,5}:{(39,1),(42,1),(54,1),(97,1),(100,1)}
        68:{1,3,4,7}:{(40,1),(41,1),(96,1),(101,1),(102,1),(201,1),(224,1)}
        69:{1,3,5}:{(40,1),(42,1),(48,1),(97,1),(103,1)}
        70:{3,4,6}:{(41,1),(43,1),(104,1),(105,1),(161,1)}
        71:{3,5,7}:{(41,1),(42,1),(44,1),(104,1),(105,1),(106,1),(193,1),(224,1)}
        72:{3,6}:{(42,1),(45,1),(106,1)}
        73:{1,2,5}:{(43,1),(104,1)}
        74:{1,2,4,6}:{(44,1),(46,1),(51,1),(57,1),(105,1),(107,1),(109,1),(114,1),(153,1),(161,1)}
        75:{1,2,4,7}:{(45,1),(47,1),(52,1),(58,1),(106,1),(110,1),(115,1),(154,1)}
        76:{1,2,6,7}:{(46,1),(47,1),(53,1),(59,1),(147,1),(149,1),(230,1)}
        77:{1,4,5,7}:{(48,1),(49,1),(102,1),(109,1),(110,1),(158,1),(164,1),(201,1)}
        78:{1,4,6}:{(48,1),(50,1),(89,1),(103,1),(110,1)}
        79:{3,4,6}:{(49,1),(51,1),(105,1),(109,1),(111,1),(161,1)}
        80:{3,4,7}:{(50,1),(52,1),(90,1),(106,1),(110,1)}
        81:{2,5,6}:{(51,1),(111,1),(113,1)}
        82:{2,4,6,7}:{(51,1),(52,1),(53,1),(112,1),(113,1),(219,1),(226,1)}
        83:{2,4,5,7}:{(54,1),(55,1),(99,1),(114,1),(115,1),(155,1),(167,1),(198,1)}
        84:{2,4,6}:{(54,1),(56,1),(92,1),(100,1),(115,1)}
        85:{3,4,6}:{(55,1),(57,1),(105,1),(114,1),(116,1),(161,1)}
        86:{3,4,7}:{(56,1),(58,1),(93,1),(106,1),(115,1)}
        87:{1,5,6}:{(57,1),(116,1),(118,1)}
        88:{1,4,6,7}:{(57,1),(58,1),(59,1),(117,1),(118,1),(220,1),(225,1)}
        89:{1,5,6}:{(60,1),(78,1),(119,1)}
        90:{3,5,7}:{(60,1),(61,1),(80,1),(119,1),(120,1)}
        91:{2,4,6,7}:{(61,1),(120,1),(121,1),(170,1)}
        92:{2,5,6}:{(62,1),(84,1),(122,1)}
        93:{3,5,7}:{(62,1),(63,1),(86,1),(122,1),(123,1)}
        94:{1,4,6,7}:{(63,1),(123,1),(124,1),(172,1)}
        95:{1,2,3,6}:{(64,1),(125,1),(126,1),(211,1),(227,1)}
        96:{1,2,4,7}:{(64,1),(65,1),(66,1),(68,1),(126,1),(127,1)}
        97:{1,2,5}:{(65,1),(67,1),(69,1),(128,1)}
        98:{2,3,4,6}:{(66,1),(70,1),(126,1),(129,1),(130,1),(173,1),(178,1),(211,1)}
        99:{2,3,5,7}:{(66,1),(67,1),(71,1),(83,1),(127,1),(129,1),(130,1),(131,1)}
       100:{2,3,6}:{(67,1),(72,1),(84,1),(128,1),(131,1)}
       101:{1,3,4,6}:{(68,1),(70,1),(126,1),(132,1),(133,1),(173,1),(181,1),(211,1)}
       102:{1,3,5,7}:{(68,1),(69,1),(71,1),(77,1),(127,1),(132,1),(133,1),(134,1)}
       103:{1,3,6}:{(69,1),(72,1),(78,1),(128,1),(134,1)}
       104:{3,5}:{(70,1),(73,1),(135,1)}
       105:{3,6}:{(71,1),(74,1)}
       106:{3,7}:{(72,1),(75,1)}
       107:{1,2,5,6}:{(73,1),(74,1),(81,1),(87,1),(136,1),(138,1),(139,1),(143,1)}
       108:{1,2,4,6,7}:{(74,1),(75,1),(76,1),(82,1),(88,1),(137,1),(138,1),(140,1),(144,1),(176,1),(183,1),(212,1)}
       109:{1,4,6}:{(77,1),(79,1),(133,1),(139,1)}
       110:{1,4,7}:{(78,1),(80,1),(119,1),(134,1)}
       111:{3,5,6}:{(79,1),(81,1),(139,1),(141,1),(142,1)}
       112:{3,4,6,7}:{(79,1),(80,1),(82,1),(120,1),(137,1),(140,1),(142,1),(170,1),(183,1),(206,1),(216,1)}
       113:{2,5,7}:{(81,1),(82,1),(142,1)}
       114:{2,4,6}:{(83,1),(85,1),(130,1),(143,1)}
       115:{2,4,7}:{(84,1),(86,1),(122,1),(131,1)}
       116:{3,5,6}:{(85,1),(87,1),(143,1),(145,1),(146,1)}
       117:{3,4,6,7}:{(85,1),(86,1),(88,1),(123,1),(137,1),(144,1),(146,1),(172,1),(183,1),(207,1),(214,1)}
       118:{1,5,7}:{(87,1),(88,1),(146,1)}
       119:{1,5,7}:{(89,1),(90,1),(110,1),(147,1)}
       120:{3,6,7}:{(90,1),(91,1),(147,1)}
       121:{2,5,6,7}:{(91,1),(113,1),(148,1),(219,1)}
       122:{2,5,7}:{(92,1),(93,1),(115,1),(149,1)}
       123:{3,6,7}:{(93,1),(94,1),(149,1)}
       124:{1,5,6,7}:{(94,1),(118,1),(150,1),(220,1)}
       125:{1,2,3,5}:{(95,1),(151,1),(152,1),(190,1),(193,1),(221,1)}
       126:{1,2,4,6}:{(95,1),(96,1),(98,1),(101,1),(151,1),(152,1),(153,1)}
       127:{1,2,5,7}:{(96,1),(97,1),(99,1),(102,1),(152,1),(153,1),(154,1)}
       128:{1,2,6}:{(97,1),(100,1),(103,1),(154,1)}
       129:{2,3,5}:{(98,1),(104,1),(152,1),(155,1),(193,1)}
       130:{2,3,6}:{(99,1),(105,1),(114,1),(153,1)}
       131:{2,3,7}:{(100,1),(106,1),(115,1),(154,1)}
       132:{1,3,5}:{(101,1),(104,1),(152,1),(158,1),(193,1)}
       133:{1,3,6}:{(102,1),(105,1),(109,1),(153,1)}
       134:{1,3,7}:{(103,1),(106,1),(110,1),(154,1)}
       135:{4,5}:{(104,1),(161,1)}
       136:{3,5,6}:{(104,1),(105,1),(107,1),(161,1),(162,1)}
       137:{3,6,7}:{(105,1),(106,1),(108,1),(162,1),(224,1)}
       138:{1,2,5,7}:{(107,1),(108,1),(113,1),(118,1),(162,1),(164,1),(167,1)}
       139:{1,5,6}:{(109,1),(111,1),(164,1)}
       140:{1,4,6,7}:{(109,1),(110,1),(112,1),(147,1),(160,1),(164,1),(201,1)}
       141:{4,5,6}:{(111,1),(161,1),(165,1)}
       142:{3,5,7}:{(111,1),(112,1),(113,1),(164,1),(165,1)}
       143:{2,5,6}:{(114,1),(116,1),(167,1)}
       144:{2,4,6,7}:{(114,1),(115,1),(117,1),(149,1),(157,1),(167,1),(198,1)}
       145:{4,5,6}:{(116,1),(161,1),(168,1)}
       146:{3,5,7}:{(116,1),(117,1),(118,1),(167,1),(168,1)}
       147:{1,6,7}:{(119,1),(120,1)}
       148:{3,5,6,7}:{(120,1),(121,1),(142,1),(169,1),(170,1),(206,1)}
       149:{2,6,7}:{(122,1),(123,1)}
       150:{3,5,6,7}:{(123,1),(124,1),(146,1),(171,1),(172,1),(207,1)}
       151:{1,2,4}:{(125,1),(173,1)}
       152:{1,2,5}:{(126,1),(129,1),(132,1)}
       153:{1,2,6}:{(127,1),(130,1),(133,1)}
       154:{1,2,7}:{(128,1),(131,1),(134,1)}
       155:{2,4,5}:{(129,1),(135,1),(177,1),(178,1)}
       156:{2,3,5,6}:{(129,1),(130,1),(136,1),(143,1),(175,1),(178,1),(179,1),(186,1),(211,1)}
       157:{2,3,6,7}:{(130,1),(131,1),(137,1),(144,1),(176,1),(179,1),(207,1)}
       158:{1,4,5}:{(132,1),(135,1),(180,1),(181,1)}
       159:{1,3,5,6}:{(132,1),(133,1),(136,1),(139,1),(175,1),(181,1),(182,1),(184,1),(211,1)}
       160:{1,3,6,7}:{(133,1),(134,1),(137,1),(140,1),(176,1),(182,1),(206,1)}
       161:{4,6}:{(135,1),(136,1),(183,1)}
       162:{3,5,7}:{(136,1),(137,1),(138,1),(183,1)}
       163:{1,4,5,6}:{(139,1),(141,1),(181,1),(184,1),(185,1)}
       164:{1,5,7}:{(139,1),(140,1),(142,1)}
       165:{4,5,7}:{(141,1),(142,1),(170,1),(183,1)}
       166:{2,4,5,6}:{(143,1),(145,1),(178,1),(186,1),(187,1)}
       167:{2,5,7}:{(143,1),(144,1),(146,1)}
       168:{4,5,7}:{(145,1),(146,1),(172,1),(183,1)}
       169:{1,5,6,7}:{(147,1),(148,1),(164,1),(188,1)}
       170:{4,6,7}:{(148,1),(165,1)}
       171:{2,5,6,7}:{(149,1),(150,1),(167,1),(189,1)}
       172:{4,6,7}:{(150,1),(168,1)}
       173:{3,4}:{(151,1),(193,1)}
       174:{1,2,4,5}:{(151,1),(152,1),(155,1),(158,1),(193,1),(194,1),(196,1),(199,1),(221,1)}
       175:{1,2,5,6}:{(152,1),(153,1),(156,1),(159,1),(194,1),(195,1),(202,1),(204,1)}
       176:{1,2,6,7}:{(153,1),(154,1),(157,1),(160,1),(195,1),(219,1),(220,1)}
       177:{3,4,5}:{(155,1),(193,1),(196,1),(197,1)}
       178:{2,4,6}:{(155,1),(156,1),(161,1),(197,1),(198,1)}
       179:{2,3,5,7}:{(156,1),(157,1),(162,1),(167,1),(195,1),(198,1),(205,1),(224,1)}
       180:{3,4,5}:{(158,1),(193,1),(199,1),(200,1)}
       181:{1,4,6}:{(158,1),(159,1),(161,1),(200,1),(201,1)}
       182:{1,3,5,7}:{(159,1),(160,1),(162,1),(164,1),(195,1),(201,1),(203,1),(224,1)}
       183:{4,7}:{(161,1),(162,1)}
       184:{3,5,6}:{(163,1),(200,1),(202,1),(203,1)}
       185:{1,4,5,7}:{(163,1),(164,1),(165,1),(188,1),(201,1),(203,1)}
       186:{3,5,6}:{(166,1),(197,1),(204,1),(205,1)}
       187:{2,4,5,7}:{(166,1),(167,1),(168,1),(189,1),(198,1),(205,1)}
       188:{1,4,6,7}:{(169,1),(170,1),(185,1),(206,1)}
       189:{2,4,6,7}:{(171,1),(172,1),(187,1),(207,1)}
       190:{1,2,3}:{(208,1)}
       191:{2,3,4}:{(173,1),(208,1),(209,1)}
       192:{1,3,4}:{(173,1),(208,1),(210,1)}
       193:{3,5}:{(173,1),(174,1),(211,1)}
       194:{1,2,4,6}:{(174,1),(175,1),(178,1),(181,1),(211,1),(212,1),(213,1),(215,1),(227,1)}
       195:{1,2,5,7}:{(175,1),(176,1),(179,1),(182,1),(212,1),(217,1),(218,1)}
       196:{1,4,5}:{(177,1),(210,1),(213,1)}
       197:{3,4,6}:{(177,1),(178,1),(186,1),(211,1),(213,1),(214,1)}
       198:{2,4,7}:{(178,1),(179,1),(183,1),(214,1)}
       199:{2,4,5}:{(180,1),(209,1),(215,1)}
       200:{3,4,6}:{(180,1),(181,1),(184,1),(211,1),(215,1),(216,1)}
       201:{1,4,7}:{(181,1),(182,1),(183,1),(216,1)}
       202:{2,5,6}:{(184,1),(215,1),(217,1)}
       203:{3,5,7}:{(184,1),(185,1),(206,1),(216,1),(217,1)}
       204:{1,5,6}:{(186,1),(213,1),(218,1)}
       205:{3,5,7}:{(186,1),(187,1),(207,1),(214,1),(218,1)}
       206:{3,6,7}:{(188,1),(203,1),(219,1)}
       207:{3,6,7}:{(189,1),(205,1),(220,1)}
       208:{1,2,4}:{(190,1),(191,1),(192,1),(221,1)}
       209:{2,3,5}:{(191,1),(193,1),(199,1),(221,1),(222,1)}
       210:{1,3,5}:{(192,1),(193,1),(196,1),(221,1),(223,1)}
       211:{3,6}:{(193,1),(194,1),(224,1)}
       212:{1,2,4,7}:{(194,1),(195,1),(198,1),(201,1),(224,1),(225,1),(226,1),(230,1)}
       213:{1,4,6}:{(196,1),(197,1),(204,1),(223,1),(225,1)}
       214:{3,4,7}:{(197,1),(198,1),(205,1),(224,1),(225,1)}
       215:{2,4,6}:{(199,1),(200,1),(202,1),(222,1),(226,1)}
       216:{3,4,7}:{(200,1),(201,1),(203,1),(224,1),(226,1)}
       217:{2,5,7}:{(202,1),(203,1),(219,1),(226,1)}
       218:{1,5,7}:{(204,1),(205,1),(220,1),(225,1)}
       219:{2,6,7}:{(206,1),(217,1)}
       220:{1,6,7}:{(207,1),(218,1)}
       221:{1,2,5}:{(208,1),(209,1),(210,1),(227,1)}
       222:{2,3,6}:{(209,1),(211,1),(215,1),(227,1),(228,1)}
       223:{1,3,6}:{(210,1),(211,1),(213,1),(227,1),(229,1)}
       224:{3,7}:{(211,1),(212,1)}
       225:{1,4,7}:{(213,1),(214,1),(218,1),(229,1)}
       226:{2,4,7}:{(215,1),(216,1),(217,1),(228,1)}
       227:{1,2,6}:{(221,1),(222,1),(223,1),(230,1)}
       228:{2,3,7}:{(222,1),(224,1),(226,1),(230,1)}
       229:{1,3,7}:{(223,1),(224,1),(225,1),(230,1)}
       230:{1,2,7}:{(227,1),(228,1),(229,1)}

1258 :   0:{1,3,4,5,7}:{(1,1),(2,1),(10,1),(41,1),(76,1),(84,1),(91,1),(122,1),(125,1),(130,1)}
         1:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(20,1),(26,1),(53,1),(63,1),(67,1)}
         2:{1,3,4,6}:{(0,1),(7,1),(8,1),(68,1),(147,1),(150,1),(155,1)}
         3:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(12,1),(39,1),(76,1),(81,1)}
         4:{1,3,5,6,7}:{(10,1),(11,1),(12,1),(13,1),(39,1),(121,1)}
         5:{1,4,5,6,7}:{(12,1),(13,1),(169,1)}
         6:{2,3,5,7}:{(1,1),(15,1),(16,1),(46,1),(125,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(47,1)}
         8:{1,3,5,6}:{(2,1),(10,1),(17,1),(18,1),(48,1),(84,1),(133,1)}
         9:{1,2,4,6,7}:{(3,1),(7,1),(19,1),(20,1),(53,1)}
        10:{1,3,5,7}:{(3,1),(8,1),(20,1),(21,1),(54,1),(107,1)}
        11:{1,2,5,6,7}:{(4,1),(20,1),(22,1),(23,1),(25,1),(96,1),(107,1)}
        12:{1,4,6,7}:{(4,1),(21,1),(24,1),(147,1)}
        13:{3,5,6,7}:{(5,1),(24,1),(25,1),(189,1)}
        14:{1,2,3,5,7}:{(6,1),(26,1),(27,1),(60,1),(63,1)}
        15:{2,3,4,7}:{(6,1),(26,1),(29,1),(53,1),(98,1)}
        16:{2,3,6}:{(6,1),(7,1),(150,1)}
        17:{1,2,5,6}:{(7,1),(8,1),(20,1),(30,1),(63,1)}
        18:{1,4,5,6}:{(8,1),(21,1),(32,1),(110,1),(147,1)}
        19:{2,3,6,7}:{(9,1),(16,1),(35,1),(39,1)}
        20:{1,2,5,7}:{(9,1),(10,1),(17,1),(35,1)}
        21:{1,4,5,7}:{(10,1),(12,1),(18,1),(37,1)}
        22:{2,3,5,6,7}:{(11,1),(35,1),(38,1),(39,1),(74,1),(80,1)}
        23:{1,2,4,6,7}:{(11,1),(12,1),(36,1),(38,1),(39,1),(40,1),(81,1),(82,1),(124,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(39,1),(40,1),(171,1)}
        25:{2,5,6,7}:{(13,1),(40,1),(202,1)}
        26:{1,2,4,7}:{(14,1),(15,1),(41,1),(43,1)}
        27:{1,2,3,6}:{(14,1),(16,1),(43,1),(83,1)}
        28:{2,3,4,5,7}:{(15,1),(42,1),(45,1),(46,1),(75,1),(89,1),(125,1),(136,1),(172,1),(179,1)}
        29:{2,3,4,6}:{(15,1),(16,1),(43,1),(46,1),(47,1),(88,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(35,1),(46,1),(47,1),(48,1)}
        31:{1,2,4,5,6}:{(17,1),(18,1),(36,1),(47,1),(48,1),(49,1),(79,1),(87,1),(92,1),(94,1),(124,1),(133,1)}
        32:{3,4,5,6}:{(18,1),(37,1),(48,1),(49,1),(136,1),(171,1)}
        33:{1,2,3,6,7}:{(19,1),(27,1),(50,1),(51,1),(58,1),(108,1),(150,1),(193,1),(194,1)}
        34:{2,3,4,6,7}:{(19,1),(29,1),(50,1),(52,1),(53,1),(57,1),(98,1),(100,1),(150,1)}
        35:{2,3,5,7}:{(19,1),(20,1),(30,1),(53,1),(54,1)}
        36:{1,2,4,5,7}:{(20,1),(21,1),(23,1),(31,1),(53,1),(54,1),(55,1),(56,1),(102,1),(104,1),(107,1)}
        37:{3,4,5,7}:{(21,1),(24,1),(32,1),(54,1),(55,1)}
        38:{2,4,6,7}:{(22,1),(53,1),(56,1),(57,1),(100,1)}
        39:{3,6,7}:{(23,1),(54,1),(150,1)}
        40:{2,4,6,7}:{(24,1),(25,1),(55,1),(59,1),(191,1)}
        41:{1,3,4,7}:{(26,1),(60,1),(61,1),(98,1),(158,1)}
        42:{1,2,4,5,7}:{(26,1),(28,1),(60,1),(62,1),(63,1),(110,1),(111,1),(158,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(29,1),(61,1),(63,1)}
        44:{1,2,3,5,6}:{(27,1),(30,1),(51,1),(63,1),(64,1),(69,1),(96,1),(109,1),(113,1),(150,1),(164,1),(165,1),(166,1),(194,1)}
        45:{2,3,4,6}:{(28,1),(62,1),(66,1),(100,1),(150,1),(159,1),(191,1)}
        46:{2,3,5}:{(29,1),(63,1),(67,1),(113,1)}
        47:{2,4,6}:{(30,1),(53,1),(67,1),(68,1)}
        48:{3,5,6}:{(31,1),(54,1),(68,1),(113,1),(150,1)}
        49:{2,4,5,6}:{(32,1),(55,1),(70,1),(161,1),(191,1)}
        50:{1,2,4,6,7}:{(33,1),(34,1),(43,1),(71,1),(72,1),(73,1),(81,1),(124,1),(203,1)}
        51:{1,2,3,5,7}:{(33,1),(35,1),(44,1),(72,1),(73,1),(77,1),(125,1),(134,1),(176,1),(177,1),(184,1)}
        52:{2,3,5,7}:{(34,1),(46,1),(72,1),(74,1),(75,1),(80,1),(125,1)}
        53:{2,4,7}:{(35,1),(47,1),(76,1)}
        54:{3,5,7}:{(36,1),(39,1),(48,1),(76,1)}
        55:{2,4,5,7}:{(37,1),(40,1),(49,1),(78,1)}
        56:{2,4,5,7}:{(38,1),(79,1),(80,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(76,1),(80,1),(81,1),(129,1)}
        58:{1,3,6,7}:{(39,1),(77,1),(81,1),(82,1),(174,1)}
        59:{2,3,6,7}:{(39,1),(40,1),(78,1),(82,1),(175,1)}
        60:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1),(125,1)}
        61:{1,3,4,6}:{(41,1),(43,1),(83,1),(84,1),(88,1),(135,1)}
        62:{1,2,4,6}:{(42,1),(45,1),(83,1),(86,1),(135,1)}
        63:{1,2,5}:{(43,1),(46,1),(84,1)}
        64:{1,2,4,6}:{(44,1),(47,1),(73,1),(87,1),(88,1),(92,1),(135,1),(181,1)}
        65:{2,3,4,6,7}:{(45,1),(85,1),(89,1),(128,1),(173,1),(179,1),(203,1)}
        66:{2,3,5,6}:{(45,1),(46,1),(86,1),(89,1),(90,1),(138,1),(202,1)}
        67:{2,4,5}:{(46,1),(47,1),(91,1)}
        68:{3,4,6}:{(47,1),(48,1),(76,1),(91,1),(92,1)}
        69:{1,3,5,6}:{(48,1),(77,1),(92,1),(94,1),(133,1),(139,1),(145,1),(174,1)}
        70:{2,3,5,6}:{(48,1),(49,1),(78,1),(93,1),(94,1),(140,1),(175,1)}
        71:{1,3,4,6,7}:{(50,1),(61,1),(95,1),(98,1),(108,1),(147,1),(150,1),(158,1),(190,1)}
        72:{1,2,5,7}:{(50,1),(52,1),(63,1),(95,1),(96,1),(107,1),(208,1)}
        73:{1,2,4,7}:{(51,1),(53,1),(64,1),(98,1),(102,1),(158,1),(196,1)}
        74:{2,3,5,6}:{(52,1),(96,1),(100,1),(106,1),(150,1)}
        75:{2,4,5,7}:{(52,1),(53,1),(67,1),(100,1),(101,1)}
        76:{3,4,7}:{(53,1),(54,1),(68,1),(102,1)}
        77:{1,3,5,7}:{(54,1),(58,1),(69,1),(102,1),(104,1),(107,1),(156,1)}
        78:{2,3,5,7}:{(54,1),(55,1),(59,1),(70,1),(103,1),(104,1)}
        79:{2,4,5,6}:{(56,1),(100,1),(106,1)}
        80:{3,5,7}:{(56,1),(57,1),(106,1),(107,1)}
        81:{1,4,6,7}:{(57,1),(58,1),(102,1),(107,1),(155,1)}
        82:{1,2,6,7}:{(58,1),(59,1),(104,1),(194,1)}
        83:{1,3,6}:{(60,1),(62,1),(150,1)}
        84:{1,3,5}:{(61,1),(63,1),(110,1),(113,1)}
        85:{1,2,4,6,7}:{(62,1),(65,1),(108,1),(111,1),(158,1)}
        86:{1,2,5,6}:{(62,1),(63,1),(66,1),(109,1),(111,1)}
        87:{1,2,4,5}:{(63,1),(64,1),(67,1),(110,1),(113,1),(118,1),(161,1),(165,1)}
        88:{3,4,6}:{(64,1),(98,1),(113,1),(150,1)}
        89:{2,3,5,7}:{(65,1),(66,1),(111,1),(116,1),(162,1),(208,1)}
        90:{2,4,5,6}:{(66,1),(67,1),(100,1),(116,1),(117,1)}
        91:{3,4,5}:{(67,1),(68,1),(113,1),(118,1)}
        92:{1,4,6}:{(68,1),(69,1),(102,1),(118,1)}
        93:{2,3,4,6}:{(68,1),(70,1),(103,1),(119,1),(120,1)}
        94:{1,2,5,6}:{(69,1),(70,1),(104,1),(120,1),(165,1),(194,1)}
        95:{1,3,5,7}:{(71,1),(72,1),(84,1),(121,1),(122,1),(125,1),(201,1)}
        96:{1,2,5,6}:{(72,1),(74,1),(121,1),(124,1),(133,1),(202,1)}
        97:{1,2,4,5,7}:{(72,1),(73,1),(75,1),(87,1),(122,1),(124,1),(125,1),(130,1),(172,1),(176,1)}
        98:{3,4,7}:{(73,1),(88,1),(125,1)}
        99:{2,3,5,6,7}:{(74,1),(89,1),(123,1),(128,1),(132,1),(173,1)}
       100:{2,4,6}:{(74,1),(75,1),(129,1)}
       101:{3,4,5,7}:{(75,1),(76,1),(80,1),(91,1),(125,1),(129,1),(130,1)}
       102:{1,4,7}:{(76,1),(77,1),(92,1)}
       103:{2,3,4,7}:{(76,1),(78,1),(93,1),(131,1)}
       104:{1,2,5,7}:{(77,1),(78,1),(82,1),(94,1),(131,1)}
       105:{2,4,5,6,7}:{(79,1),(128,1),(132,1)}
       106:{3,5,6}:{(79,1),(80,1),(129,1),(133,1)}
       107:{1,5,7}:{(80,1),(81,1),(133,1)}
       108:{1,3,6,7}:{(83,1),(85,1),(134,1),(173,1)}
       109:{1,3,5,6}:{(83,1),(84,1),(86,1),(134,1),(135,1),(138,1)}
       110:{1,4,5}:{(84,1),(135,1),(136,1)}
       111:{1,2,5,7}:{(85,1),(86,1),(89,1),(134,1)}
       112:{1,2,4,5,6}:{(86,1),(87,1),(90,1),(124,1),(135,1),(137,1),(138,1),(143,1),(169,1),(181,1),(185,1),(202,1)}
       113:{3,5}:{(87,1),(88,1)}
       114:{1,3,4,6}:{(88,1),(92,1),(126,1),(139,1),(141,1),(145,1),(174,1),(187,1)}
       115:{2,3,4,6}:{(88,1),(127,1),(140,1),(141,1),(175,1),(181,1),(206,1),(207,1)}
       116:{2,4,5,7}:{(89,1),(90,1),(128,1),(142,1)}
       117:{3,4,5,6}:{(90,1),(91,1),(129,1),(138,1),(142,1),(143,1)}
       118:{1,4,5}:{(91,1),(92,1),(139,1)}
       119:{2,3,4,5}:{(91,1),(93,1),(140,1),(144,1),(207,1)}
       120:{1,2,4,6}:{(92,1),(93,1),(94,1),(131,1),(144,1),(145,1)}
       121:{1,3,5,6}:{(95,1),(96,1),(147,1),(150,1),(189,1)}
       122:{1,4,5,7}:{(95,1),(110,1),(147,1),(148,1),(158,1)}
       123:{1,2,5,6,7}:{(96,1),(99,1),(111,1),(146,1),(149,1),(157,1),(208,1)}
       124:{1,2,4,6}:{(96,1),(97,1),(100,1),(147,1),(150,1),(155,1),(191,1),(194,1)}
       125:{3,5,7}:{(97,1),(98,1),(113,1),(150,1)}
       126:{1,3,4,7}:{(98,1),(102,1),(114,1),(151,1),(153,1),(156,1)}
       127:{2,3,4,7}:{(98,1),(115,1),(152,1),(153,1),(196,1),(209,1)}
       128:{2,4,6,7}:{(99,1),(100,1),(116,1),(154,1)}
       129:{3,4,6}:{(100,1),(101,1),(106,1),(150,1),(155,1)}
       130:{1,4,5,7}:{(101,1),(102,1),(107,1),(118,1),(151,1),(155,1)}
       131:{1,2,4,7}:{(102,1),(103,1),(104,1),(120,1),(156,1)}
       132:{3,5,6,7}:{(105,1),(106,1),(154,1),(157,1)}
       133:{1,5,6}:{(106,1),(107,1),(155,1)}
       134:{1,3,5,7}:{(108,1),(109,1),(111,1),(158,1),(162,1)}
       135:{1,4,6}:{(109,1),(110,1),(158,1),(159,1)}
       136:{3,4,5}:{(110,1),(113,1),(159,1),(161,1)}
       137:{1,2,4,5,7}:{(111,1),(112,1),(116,1),(149,1),(158,1),(162,1),(167,1),(188,1),(196,1),(199,1),(208,1)}
       138:{3,5,6}:{(112,1),(113,1),(150,1),(159,1),(162,1)}
       139:{1,3,5}:{(113,1),(114,1),(118,1),(165,1)}
       140:{2,3,5}:{(113,1),(115,1),(161,1),(165,1)}
       141:{1,2,4,6}:{(114,1),(115,1),(153,1),(165,1),(166,1),(194,1),(200,1)}
       142:{3,4,5,7}:{(116,1),(117,1),(154,1),(162,1),(167,1)}
       143:{1,4,5,6}:{(117,1),(118,1),(155,1),(163,1),(167,1)}
       144:{1,2,4,5}:{(118,1),(119,1),(120,1),(165,1),(168,1),(200,1)}
       145:{1,3,6}:{(120,1),(156,1),(168,1)}
       146:{1,3,5,6,7}:{(121,1),(123,1),(134,1),(170,1),(173,1),(201,1)}
       147:{1,4,6}:{(121,1),(122,1),(171,1)}
       148:{3,4,5,7}:{(122,1),(125,1),(136,1),(171,1),(172,1),(179,1),(201,1)}
       149:{1,2,4,6,7}:{(123,1),(124,1),(128,1),(137,1),(170,1),(173,1),(178,1),(203,1),(204,1)}
       150:{3,6}:{(124,1),(125,1)}
       151:{1,3,5,7}:{(125,1),(126,1),(130,1),(139,1),(174,1),(176,1)}
       152:{2,3,5,7}:{(125,1),(127,1),(140,1),(172,1),(175,1),(176,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(141,1),(176,1),(177,1)}
       154:{3,4,6,7}:{(128,1),(129,1),(132,1),(142,1),(173,1),(178,1)}
       155:{1,4,6}:{(129,1),(130,1),(133,1),(174,1)}
       156:{1,3,7}:{(131,1),(145,1)}
       157:{1,5,6,7}:{(132,1),(133,1),(178,1)}
       158:{1,4,7}:{(134,1),(135,1),(179,1)}
       159:{3,4,6}:{(135,1),(136,1),(138,1),(179,1),(181,1)}
       160:{1,3,4,5}:{(136,1),(139,1),(180,1),(182,1),(187,1)}
       161:{2,4,5}:{(136,1),(140,1),(181,1)}
       162:{3,5,7}:{(137,1),(138,1),(173,1),(179,1)}
       163:{1,3,5,6}:{(138,1),(139,1),(143,1),(174,1),(180,1),(183,1),(185,1)}
       164:{2,3,5,6}:{(138,1),(140,1),(175,1),(181,1),(184,1),(185,1),(202,1),(206,1)}
       165:{1,2,5}:{(139,1),(140,1),(141,1)}
       166:{1,2,3,6}:{(141,1),(145,1),(177,1),(186,1),(206,1)}
       167:{1,4,5,7}:{(142,1),(143,1),(178,1),(183,1)}
       168:{1,3,5}:{(144,1),(145,1),(187,1)}
       169:{1,4,5,6}:{(147,1),(188,1),(189,1)}
       170:{1,4,6,7}:{(146,1),(147,1),(158,1),(188,1),(190,1)}
       171:{3,4,6}:{(147,1),(148,1),(150,1),(189,1),(191,1)}
       172:{2,4,5,7}:{(148,1),(152,1),(161,1),(191,1),(196,1),(208,1)}
       173:{3,6,7}:{(149,1),(150,1),(162,1)}
       174:{1,3,6}:{(150,1),(151,1),(155,1),(194,1)}
       175:{2,3,6}:{(150,1),(152,1),(191,1),(194,1)}
       176:{1,2,5,7}:{(151,1),(152,1),(153,1),(165,1),(194,1)}
       177:{1,2,3,7}:{(153,1),(156,1),(166,1),(209,1)}
       178:{1,4,6,7}:{(154,1),(155,1),(157,1),(167,1),(192,1)}
       179:{3,4,7}:{(158,1),(159,1),(162,1),(196,1)}
       180:{1,3,4,6}:{(159,1),(160,1),(163,1),(195,1),(197,1)}
       181:{2,4,6}:{(159,1),(161,1),(164,1),(196,1)}
       182:{1,2,4,5}:{(160,1),(161,1),(165,1),(197,1),(198,1),(200,1)}
       183:{1,3,5,7}:{(162,1),(163,1),(167,1),(192,1),(195,1),(199,1)}
       184:{2,3,5,7}:{(162,1),(164,1),(193,1),(196,1),(199,1),(208,1),(209,1)}
       185:{1,2,5,6}:{(163,1),(164,1),(165,1),(194,1),(197,1),(199,1)}
       186:{1,2,3,5}:{(165,1),(166,1),(168,1),(198,1),(200,1)}
       187:{1,3,4}:{(168,1),(200,1)}
       188:{1,4,5,7}:{(169,1),(170,1),(201,1)}
       189:{3,5,6}:{(169,1),(171,1),(201,1),(202,1)}
       190:{3,4,6,7}:{(170,1),(171,1),(173,1),(179,1),(201,1),(203,1)}
       191:{2,4,6}:{(171,1),(172,1),(175,1),(202,1)}
       192:{1,3,6,7}:{(173,1),(174,1),(178,1),(183,1),(204,1)}
       193:{2,3,6,7}:{(173,1),(175,1),(184,1),(203,1),(204,1)}
       194:{1,2,6}:{(174,1),(175,1),(176,1)}
       195:{1,3,4,7}:{(179,1),(180,1),(183,1),(205,1)}
       196:{2,4,7}:{(179,1),(181,1),(184,1)}
       197:{1,2,4,6}:{(180,1),(181,1),(182,1),(185,1),(205,1),(206,1)}
       198:{2,3,5}:{(182,1),(206,1),(207,1)}
       199:{1,2,5,7}:{(183,1),(184,1),(185,1),(204,1),(205,1)}
       200:{1,2,4}:{(186,1),(187,1),(207,1)}
       201:{3,5,7}:{(188,1),(189,1),(190,1),(208,1)}
       202:{2,5,6}:{(189,1),(191,1),(208,1)}
       203:{2,4,6,7}:{(190,1),(191,1),(193,1),(196,1),(208,1)}
       204:{1,2,6,7}:{(192,1),(193,1),(194,1),(199,1)}
       205:{1,2,4,7}:{(195,1),(196,1),(197,1),(199,1),(209,1)}
       206:{2,3,6}:{(197,1),(198,1),(209,1)}
       207:{2,3,4}:{(198,1),(200,1)}
       208:{2,5,7}:{(201,1),(202,1),(203,1)}
       209:{2,3,7}:{(205,1),(206,1)}

1259 :   0:{2,3,4,5,7}:{(1,1),(2,1),(10,1),(41,1),(76,1),(84,1),(91,1),(122,1),(125,1),(130,1)}
         1:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(20,1),(26,1),(53,1),(63,1),(67,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(68,1),(147,1),(150,1),(155,1)}
         3:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(12,1),(39,1),(76,1),(81,1)}
         4:{2,3,5,6,7}:{(10,1),(11,1),(12,1),(13,1),(39,1),(121,1)}
         5:{2,4,5,6,7}:{(12,1),(13,1),(169,1)}
         6:{1,3,5,7}:{(1,1),(15,1),(16,1),(46,1),(125,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(47,1)}
         8:{2,3,5,6}:{(2,1),(10,1),(17,1),(18,1),(48,1),(84,1),(133,1)}
         9:{1,2,4,6,7}:{(3,1),(7,1),(19,1),(20,1),(53,1)}
        10:{2,3,5,7}:{(3,1),(8,1),(20,1),(21,1),(54,1),(107,1)}
        11:{1,2,5,6,7}:{(4,1),(20,1),(22,1),(23,1),(25,1),(96,1),(107,1)}
        12:{2,4,6,7}:{(4,1),(21,1),(24,1),(147,1)}
        13:{3,5,6,7}:{(5,1),(24,1),(25,1),(189,1)}
        14:{1,2,3,5,7}:{(6,1),(26,1),(27,1),(60,1),(63,1)}
        15:{1,3,4,7}:{(6,1),(26,1),(29,1),(53,1),(98,1)}
        16:{1,3,6}:{(6,1),(7,1),(150,1)}
        17:{1,2,5,6}:{(7,1),(8,1),(20,1),(30,1),(63,1)}
        18:{2,4,5,6}:{(8,1),(21,1),(32,1),(110,1),(147,1)}
        19:{1,3,6,7}:{(9,1),(16,1),(35,1),(39,1)}
        20:{1,2,5,7}:{(9,1),(10,1),(17,1),(35,1)}
        21:{2,4,5,7}:{(10,1),(12,1),(18,1),(37,1)}
        22:{1,3,5,6,7}:{(11,1),(35,1),(38,1),(39,1),(74,1),(80,1)}
        23:{1,2,4,6,7}:{(11,1),(12,1),(36,1),(38,1),(39,1),(40,1),(81,1),(82,1),(124,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(39,1),(40,1),(171,1)}
        25:{1,5,6,7}:{(13,1),(40,1),(202,1)}
        26:{1,2,4,7}:{(14,1),(15,1),(41,1),(43,1)}
        27:{1,2,3,6}:{(14,1),(16,1),(43,1),(83,1)}
        28:{1,3,4,5,7}:{(15,1),(42,1),(45,1),(46,1),(75,1),(89,1),(125,1),(136,1),(172,1),(179,1)}
        29:{1,3,4,6}:{(15,1),(16,1),(43,1),(46,1),(47,1),(88,1)}
        30:{1,3,5,6}:{(16,1),(17,1),(35,1),(46,1),(47,1),(48,1)}
        31:{1,2,4,5,6}:{(17,1),(18,1),(36,1),(47,1),(48,1),(49,1),(79,1),(87,1),(93,1),(94,1),(124,1),(133,1)}
        32:{3,4,5,6}:{(18,1),(37,1),(48,1),(49,1),(136,1),(171,1)}
        33:{1,2,3,6,7}:{(19,1),(27,1),(50,1),(51,1),(59,1),(108,1),(150,1),(192,1),(194,1)}
        34:{1,3,4,6,7}:{(19,1),(29,1),(50,1),(52,1),(53,1),(57,1),(98,1),(100,1),(150,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(30,1),(53,1),(54,1)}
        36:{1,2,4,5,7}:{(20,1),(21,1),(23,1),(31,1),(53,1),(54,1),(55,1),(56,1),(103,1),(104,1),(107,1)}
        37:{3,4,5,7}:{(21,1),(24,1),(32,1),(54,1),(55,1)}
        38:{1,4,6,7}:{(22,1),(53,1),(56,1),(57,1),(100,1)}
        39:{3,6,7}:{(23,1),(54,1),(150,1)}
        40:{1,4,6,7}:{(24,1),(25,1),(55,1),(58,1),(191,1)}
        41:{2,3,4,7}:{(26,1),(60,1),(61,1),(98,1),(158,1)}
        42:{1,2,4,5,7}:{(26,1),(28,1),(60,1),(62,1),(63,1),(110,1),(111,1),(158,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(29,1),(61,1),(63,1)}
        44:{1,2,3,5,6}:{(27,1),(30,1),(51,1),(63,1),(64,1),(70,1),(96,1),(109,1),(113,1),(150,1),(163,1),(165,1),(166,1),(194,1)}
        45:{1,3,4,6}:{(28,1),(62,1),(66,1),(100,1),(150,1),(159,1),(191,1)}
        46:{1,3,5}:{(29,1),(63,1),(67,1),(113,1)}
        47:{1,4,6}:{(30,1),(53,1),(67,1),(68,1)}
        48:{3,5,6}:{(31,1),(54,1),(68,1),(113,1),(150,1)}
        49:{1,4,5,6}:{(32,1),(55,1),(69,1),(160,1),(191,1)}
        50:{1,2,4,6,7}:{(33,1),(34,1),(43,1),(71,1),(72,1),(73,1),(81,1),(124,1),(203,1)}
        51:{1,2,3,5,7}:{(33,1),(35,1),(44,1),(72,1),(73,1),(78,1),(125,1),(134,1),(176,1),(177,1),(183,1)}
        52:{1,3,5,7}:{(34,1),(46,1),(72,1),(74,1),(75,1),(80,1),(125,1)}
        53:{1,4,7}:{(35,1),(47,1),(76,1)}
        54:{3,5,7}:{(36,1),(39,1),(48,1),(76,1)}
        55:{1,4,5,7}:{(37,1),(40,1),(49,1),(77,1)}
        56:{1,4,5,7}:{(38,1),(79,1),(80,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(76,1),(80,1),(81,1),(129,1)}
        58:{1,3,6,7}:{(39,1),(40,1),(77,1),(82,1),(174,1)}
        59:{2,3,6,7}:{(39,1),(78,1),(81,1),(82,1),(175,1)}
        60:{2,3,5,7}:{(41,1),(42,1),(83,1),(84,1),(125,1)}
        61:{2,3,4,6}:{(41,1),(43,1),(83,1),(84,1),(88,1),(135,1)}
        62:{1,2,4,6}:{(42,1),(45,1),(83,1),(86,1),(135,1)}
        63:{1,2,5}:{(43,1),(46,1),(84,1)}
        64:{1,2,4,6}:{(44,1),(47,1),(73,1),(87,1),(88,1),(93,1),(135,1),(180,1)}
        65:{1,3,4,6,7}:{(45,1),(85,1),(89,1),(128,1),(173,1),(179,1),(203,1)}
        66:{1,3,5,6}:{(45,1),(46,1),(86,1),(89,1),(90,1),(138,1),(202,1)}
        67:{1,4,5}:{(46,1),(47,1),(91,1)}
        68:{3,4,6}:{(47,1),(48,1),(76,1),(91,1),(93,1)}
        69:{1,3,5,6}:{(48,1),(49,1),(77,1),(92,1),(94,1),(139,1),(174,1)}
        70:{2,3,5,6}:{(48,1),(78,1),(93,1),(94,1),(133,1),(140,1),(145,1),(175,1)}
        71:{2,3,4,6,7}:{(50,1),(61,1),(95,1),(98,1),(108,1),(147,1),(150,1),(158,1),(190,1)}
        72:{1,2,5,7}:{(50,1),(52,1),(63,1),(95,1),(96,1),(107,1),(208,1)}
        73:{1,2,4,7}:{(51,1),(53,1),(64,1),(98,1),(103,1),(158,1),(195,1)}
        74:{1,3,5,6}:{(52,1),(96,1),(100,1),(106,1),(150,1)}
        75:{1,4,5,7}:{(52,1),(53,1),(67,1),(100,1),(101,1)}
        76:{3,4,7}:{(53,1),(54,1),(68,1),(103,1)}
        77:{1,3,5,7}:{(54,1),(55,1),(58,1),(69,1),(102,1),(104,1)}
        78:{2,3,5,7}:{(54,1),(59,1),(70,1),(103,1),(104,1),(107,1),(156,1)}
        79:{1,4,5,6}:{(56,1),(100,1),(106,1)}
        80:{3,5,7}:{(56,1),(57,1),(106,1),(107,1)}
        81:{2,4,6,7}:{(57,1),(59,1),(103,1),(107,1),(155,1)}
        82:{1,2,6,7}:{(58,1),(59,1),(104,1),(194,1)}
        83:{2,3,6}:{(60,1),(62,1),(150,1)}
        84:{2,3,5}:{(61,1),(63,1),(110,1),(113,1)}
        85:{1,2,4,6,7}:{(62,1),(65,1),(108,1),(111,1),(158,1)}
        86:{1,2,5,6}:{(62,1),(63,1),(66,1),(109,1),(111,1)}
        87:{1,2,4,5}:{(63,1),(64,1),(67,1),(110,1),(113,1),(119,1),(160,1),(165,1)}
        88:{3,4,6}:{(64,1),(98,1),(113,1),(150,1)}
        89:{1,3,5,7}:{(65,1),(66,1),(111,1),(116,1),(162,1),(208,1)}
        90:{1,4,5,6}:{(66,1),(67,1),(100,1),(116,1),(117,1)}
        91:{3,4,5}:{(67,1),(68,1),(113,1),(119,1)}
        92:{1,3,4,6}:{(68,1),(69,1),(102,1),(118,1),(120,1)}
        93:{2,4,6}:{(68,1),(70,1),(103,1),(119,1)}
        94:{1,2,5,6}:{(69,1),(70,1),(104,1),(120,1),(165,1),(194,1)}
        95:{2,3,5,7}:{(71,1),(72,1),(84,1),(121,1),(122,1),(125,1),(201,1)}
        96:{1,2,5,6}:{(72,1),(74,1),(121,1),(124,1),(133,1),(202,1)}
        97:{1,2,4,5,7}:{(72,1),(73,1),(75,1),(87,1),(122,1),(124,1),(125,1),(130,1),(172,1),(176,1)}
        98:{3,4,7}:{(73,1),(88,1),(125,1)}
        99:{1,3,5,6,7}:{(74,1),(89,1),(123,1),(128,1),(132,1),(173,1)}
       100:{1,4,6}:{(74,1),(75,1),(129,1)}
       101:{3,4,5,7}:{(75,1),(76,1),(80,1),(91,1),(125,1),(129,1),(130,1)}
       102:{1,3,4,7}:{(76,1),(77,1),(92,1),(131,1)}
       103:{2,4,7}:{(76,1),(78,1),(93,1)}
       104:{1,2,5,7}:{(77,1),(78,1),(82,1),(94,1),(131,1)}
       105:{1,4,5,6,7}:{(79,1),(128,1),(132,1)}
       106:{3,5,6}:{(79,1),(80,1),(129,1),(133,1)}
       107:{2,5,7}:{(80,1),(81,1),(133,1)}
       108:{2,3,6,7}:{(83,1),(85,1),(134,1),(173,1)}
       109:{2,3,5,6}:{(83,1),(84,1),(86,1),(134,1),(135,1),(138,1)}
       110:{2,4,5}:{(84,1),(135,1),(136,1)}
       111:{1,2,5,7}:{(85,1),(86,1),(89,1),(134,1)}
       112:{1,2,4,5,6}:{(86,1),(87,1),(90,1),(124,1),(135,1),(137,1),(138,1),(143,1),(169,1),(180,1),(185,1),(202,1)}
       113:{3,5}:{(87,1),(88,1)}
       114:{1,3,4,6}:{(88,1),(126,1),(139,1),(141,1),(174,1),(180,1),(206,1),(207,1)}
       115:{2,3,4,6}:{(88,1),(93,1),(127,1),(140,1),(141,1),(145,1),(175,1),(187,1)}
       116:{1,4,5,7}:{(89,1),(90,1),(128,1),(142,1)}
       117:{3,4,5,6}:{(90,1),(91,1),(129,1),(138,1),(142,1),(143,1)}
       118:{1,3,4,5}:{(91,1),(92,1),(139,1),(144,1),(207,1)}
       119:{2,4,5}:{(91,1),(93,1),(140,1)}
       120:{1,2,4,6}:{(92,1),(93,1),(94,1),(131,1),(144,1),(145,1)}
       121:{2,3,5,6}:{(95,1),(96,1),(147,1),(150,1),(189,1)}
       122:{2,4,5,7}:{(95,1),(110,1),(147,1),(148,1),(158,1)}
       123:{1,2,5,6,7}:{(96,1),(99,1),(111,1),(146,1),(149,1),(157,1),(208,1)}
       124:{1,2,4,6}:{(96,1),(97,1),(100,1),(147,1),(150,1),(155,1),(191,1),(194,1)}
       125:{3,5,7}:{(97,1),(98,1),(113,1),(150,1)}
       126:{1,3,4,7}:{(98,1),(114,1),(151,1),(153,1),(195,1),(209,1)}
       127:{2,3,4,7}:{(98,1),(103,1),(115,1),(152,1),(153,1),(156,1)}
       128:{1,4,6,7}:{(99,1),(100,1),(116,1),(154,1)}
       129:{3,4,6}:{(100,1),(101,1),(106,1),(150,1),(155,1)}
       130:{2,4,5,7}:{(101,1),(103,1),(107,1),(119,1),(152,1),(155,1)}
       131:{1,2,4,7}:{(102,1),(103,1),(104,1),(120,1),(156,1)}
       132:{3,5,6,7}:{(105,1),(106,1),(154,1),(157,1)}
       133:{2,5,6}:{(106,1),(107,1),(155,1)}
       134:{2,3,5,7}:{(108,1),(109,1),(111,1),(158,1),(162,1)}
       135:{2,4,6}:{(109,1),(110,1),(158,1),(159,1)}
       136:{3,4,5}:{(110,1),(113,1),(159,1),(160,1)}
       137:{1,2,4,5,7}:{(111,1),(112,1),(116,1),(149,1),(158,1),(162,1),(167,1),(188,1),(195,1),(199,1),(208,1)}
       138:{3,5,6}:{(112,1),(113,1),(150,1),(159,1),(162,1)}
       139:{1,3,5}:{(113,1),(114,1),(160,1),(165,1)}
       140:{2,3,5}:{(113,1),(115,1),(119,1),(165,1)}
       141:{1,2,4,6}:{(114,1),(115,1),(153,1),(165,1),(166,1),(194,1),(200,1)}
       142:{3,4,5,7}:{(116,1),(117,1),(154,1),(162,1),(167,1)}
       143:{2,4,5,6}:{(117,1),(119,1),(155,1),(164,1),(167,1)}
       144:{1,2,4,5}:{(118,1),(119,1),(120,1),(165,1),(168,1),(200,1)}
       145:{2,3,6}:{(120,1),(156,1),(168,1)}
       146:{2,3,5,6,7}:{(121,1),(123,1),(134,1),(170,1),(173,1),(201,1)}
       147:{2,4,6}:{(121,1),(122,1),(171,1)}
       148:{3,4,5,7}:{(122,1),(125,1),(136,1),(171,1),(172,1),(179,1),(201,1)}
       149:{1,2,4,6,7}:{(123,1),(124,1),(128,1),(137,1),(170,1),(173,1),(178,1),(203,1),(204,1)}
       150:{3,6}:{(124,1),(125,1)}
       151:{1,3,5,7}:{(125,1),(126,1),(139,1),(172,1),(174,1),(176,1)}
       152:{2,3,5,7}:{(125,1),(127,1),(130,1),(140,1),(175,1),(176,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(141,1),(176,1),(177,1)}
       154:{3,4,6,7}:{(128,1),(129,1),(132,1),(142,1),(173,1),(178,1)}
       155:{2,4,6}:{(129,1),(130,1),(133,1),(175,1)}
       156:{2,3,7}:{(131,1),(145,1)}
       157:{2,5,6,7}:{(132,1),(133,1),(178,1)}
       158:{2,4,7}:{(134,1),(135,1),(179,1)}
       159:{3,4,6}:{(135,1),(136,1),(138,1),(179,1),(180,1)}
       160:{1,4,5}:{(136,1),(139,1),(180,1)}
       161:{2,3,4,5}:{(136,1),(140,1),(181,1),(182,1),(187,1)}
       162:{3,5,7}:{(137,1),(138,1),(173,1),(179,1)}
       163:{1,3,5,6}:{(138,1),(139,1),(174,1),(180,1),(183,1),(185,1),(202,1),(206,1)}
       164:{2,3,5,6}:{(138,1),(140,1),(143,1),(175,1),(181,1),(184,1),(185,1)}
       165:{1,2,5}:{(139,1),(140,1),(141,1)}
       166:{1,2,3,6}:{(141,1),(145,1),(177,1),(186,1),(206,1)}
       167:{2,4,5,7}:{(142,1),(143,1),(178,1),(184,1)}
       168:{2,3,5}:{(144,1),(145,1),(187,1)}
       169:{2,4,5,6}:{(147,1),(188,1),(189,1)}
       170:{2,4,6,7}:{(146,1),(147,1),(158,1),(188,1),(190,1)}
       171:{3,4,6}:{(147,1),(148,1),(150,1),(189,1),(191,1)}
       172:{1,4,5,7}:{(148,1),(151,1),(160,1),(191,1),(195,1),(208,1)}
       173:{3,6,7}:{(149,1),(150,1),(162,1)}
       174:{1,3,6}:{(150,1),(151,1),(191,1),(194,1)}
       175:{2,3,6}:{(150,1),(152,1),(155,1),(194,1)}
       176:{1,2,5,7}:{(151,1),(152,1),(153,1),(165,1),(194,1)}
       177:{1,2,3,7}:{(153,1),(156,1),(166,1),(209,1)}
       178:{2,4,6,7}:{(154,1),(155,1),(157,1),(167,1),(193,1)}
       179:{3,4,7}:{(158,1),(159,1),(162,1),(195,1)}
       180:{1,4,6}:{(159,1),(160,1),(163,1),(195,1)}
       181:{2,3,4,6}:{(159,1),(161,1),(164,1),(196,1),(197,1)}
       182:{1,2,4,5}:{(160,1),(161,1),(165,1),(197,1),(198,1),(200,1)}
       183:{1,3,5,7}:{(162,1),(163,1),(192,1),(195,1),(199,1),(208,1),(209,1)}
       184:{2,3,5,7}:{(162,1),(164,1),(167,1),(193,1),(196,1),(199,1)}
       185:{1,2,5,6}:{(163,1),(164,1),(165,1),(194,1),(197,1),(199,1)}
       186:{1,2,3,5}:{(165,1),(166,1),(168,1),(198,1),(200,1)}
       187:{2,3,4}:{(168,1),(200,1)}
       188:{2,4,5,7}:{(169,1),(170,1),(201,1)}
       189:{3,5,6}:{(169,1),(171,1),(201,1),(202,1)}
       190:{3,4,6,7}:{(170,1),(171,1),(173,1),(179,1),(201,1),(203,1)}
       191:{1,4,6}:{(171,1),(172,1),(174,1),(202,1)}
       192:{1,3,6,7}:{(173,1),(174,1),(183,1),(203,1),(204,1)}
       193:{2,3,6,7}:{(173,1),(175,1),(178,1),(184,1),(204,1)}
       194:{1,2,6}:{(174,1),(175,1),(176,1)}
       195:{1,4,7}:{(179,1),(180,1),(183,1)}
       196:{2,3,4,7}:{(179,1),(181,1),(184,1),(205,1)}
       197:{1,2,4,6}:{(180,1),(181,1),(182,1),(185,1),(205,1),(206,1)}
       198:{1,3,5}:{(182,1),(206,1),(207,1)}
       199:{1,2,5,7}:{(183,1),(184,1),(185,1),(204,1),(205,1)}
       200:{1,2,4}:{(186,1),(187,1),(207,1)}
       201:{3,5,7}:{(188,1),(189,1),(190,1),(208,1)}
       202:{1,5,6}:{(189,1),(191,1),(208,1)}
       203:{1,4,6,7}:{(190,1),(191,1),(192,1),(195,1),(208,1)}
       204:{1,2,6,7}:{(192,1),(193,1),(194,1),(199,1)}
       205:{1,2,4,7}:{(195,1),(196,1),(197,1),(199,1),(209,1)}
       206:{1,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,3,4}:{(198,1),(200,1)}
       208:{1,5,7}:{(201,1),(202,1),(203,1)}
       209:{1,3,7}:{(205,1),(206,1)}

1260 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(19,1),(20,1),(21,1),(44,1),(76,1),(95,1),(96,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(114,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(16,1),(20,1),(124,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(14,1),(76,1),(100,1),(122,1)}
         4:{1,2,4,5,6}:{(2,1),(10,1),(26,1),(27,1),(31,1)}
         5:{3,5,7}:{(2,1),(3,1),(10,1),(132,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(59,1),(60,1),(88,1),(89,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(59,1),(60,1),(90,1),(91,1),(114,1)}
         8:{3,4,5,7}:{(5,1),(14,1),(15,1),(16,1),(43,1),(100,1),(101,1)}
         9:{1,2,4,5,6,7}:{(4,1),(17,1),(40,1),(41,1),(44,1),(67,1),(109,1)}
        10:{3,5,6}:{(4,1),(5,1),(14,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(15,1),(18,1),(20,1),(43,1),(105,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(16,1),(19,1),(20,1),(43,1),(107,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(42,1),(46,1),(103,1)}
        14:{3,4,6}:{(8,1),(10,1),(26,1),(27,1),(59,1)}
        15:{1,4,5,7}:{(8,1),(11,1),(26,1),(112,1),(113,1)}
        16:{2,4,5,7}:{(8,1),(12,1),(27,1),(114,1),(115,1)}
        17:{3,5,6,7}:{(9,1),(10,1),(25,1),(84,1),(121,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(26,1),(31,1),(59,1)}
        19:{2,3,5,6}:{(10,1),(12,1),(27,1),(31,1),(59,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(31,1),(118,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(59,1),(86,1),(88,1),(90,1)}
        22:{3,4,5,6}:{(14,1),(33,1),(34,1),(35,1),(68,1),(101,1),(127,1)}
        23:{2,3,4,5,7}:{(16,1),(36,1),(37,1),(43,1),(63,1),(75,1),(100,1),(101,1),(107,1),(126,1),(137,1)}
        24:{1,3,4,5,7}:{(15,1),(38,1),(39,1),(43,1),(65,1),(72,1),(100,1),(101,1),(105,1),(125,1),(137,1)}
        25:{3,4,6,7}:{(14,1),(17,1),(33,1),(40,1),(41,1),(76,1),(100,1),(127,1)}
        26:{1,4,6}:{(14,1),(15,1),(18,1)}
        27:{2,4,6}:{(14,1),(16,1),(19,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(20,1),(42,1),(43,1),(46,1),(79,1)}
        29:{1,3,5,6,7}:{(17,1),(18,1),(40,1),(44,1),(65,1),(76,1),(96,1),(129,1)}
        30:{2,3,5,6,7}:{(17,1),(19,1),(41,1),(44,1),(63,1),(76,1),(98,1),(130,1)}
        31:{1,2,5,6}:{(18,1),(19,1),(20,1),(42,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(46,1),(96,1),(98,1)}
        33:{3,4,5,7}:{(22,1),(25,1),(49,1),(50,1),(84,1)}
        34:{1,4,5,6}:{(22,1),(26,1),(48,1),(49,1),(113,1),(134,1)}
        35:{2,4,5,6}:{(22,1),(27,1),(47,1),(50,1),(115,1),(135,1)}
        36:{2,3,4,6}:{(23,1),(27,1),(47,1),(53,1),(59,1),(85,1),(135,1),(139,1)}
        37:{1,2,4,5,7}:{(23,1),(53,1),(54,1),(80,1),(87,1),(112,1),(113,1),(118,1)}
        38:{1,3,4,6}:{(24,1),(26,1),(48,1),(56,1),(59,1),(85,1),(134,1),(139,1)}
        39:{1,2,4,5,7}:{(24,1),(56,1),(57,1),(82,1),(87,1),(114,1),(115,1),(118,1)}
        40:{1,4,6,7}:{(25,1),(26,1),(29,1),(49,1),(112,1),(134,1)}
        41:{2,4,6,7}:{(25,1),(27,1),(30,1),(50,1),(114,1),(135,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(59,1)}
        43:{3,5,7}:{(28,1),(59,1),(60,1),(93,1)}
        44:{1,2,5,6,7}:{(29,1),(30,1),(31,1),(58,1),(80,1),(82,1),(136,1)}
        45:{1,2,3,5,6}:{(31,1),(32,1),(59,1),(62,1),(81,1),(83,1),(86,1),(93,1),(118,1)}
        46:{1,2,4,7}:{(32,1),(60,1),(62,1),(112,1),(114,1)}
        47:{2,3,5,6}:{(35,1),(36,1),(63,1),(64,1),(68,1),(107,1)}
        48:{1,3,5,6}:{(34,1),(38,1),(65,1),(66,1),(68,1),(105,1)}
        49:{1,4,5,7}:{(33,1),(34,1),(40,1),(65,1)}
        50:{2,4,5,7}:{(33,1),(35,1),(41,1),(63,1)}
        51:{1,2,4,5,6}:{(34,1),(35,1),(42,1),(64,1),(66,1),(67,1),(68,1),(79,1),(97,1),(99,1),(124,1),(138,1)}
        52:{2,3,4,6,7}:{(36,1),(41,1),(63,1),(70,1),(76,1),(100,1)}
        53:{1,2,4,6}:{(36,1),(37,1),(64,1),(71,1),(97,1)}
        54:{1,3,5,7}:{(37,1),(43,1),(71,1),(72,1),(105,1),(137,1)}
        55:{1,3,4,6,7}:{(38,1),(40,1),(65,1),(73,1),(76,1),(100,1)}
        56:{1,2,4,6}:{(38,1),(39,1),(66,1),(74,1),(99,1)}
        57:{2,3,5,7}:{(39,1),(43,1),(74,1),(75,1),(107,1),(137,1)}
        58:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(44,1),(67,1),(76,1),(138,1)}
        59:{3,6}:{(42,1),(43,1)}
        60:{3,4,7}:{(43,1),(46,1),(77,1)}
        61:{1,2,3,5,6,7}:{(44,1),(45,1),(76,1),(78,1),(96,1),(98,1),(102,1),(108,1),(128,1),(129,1),(130,1)}
        62:{1,2,4,6}:{(45,1),(46,1),(77,1),(79,1),(97,1),(99,1)}
        63:{2,3,5,7}:{(47,1),(50,1),(52,1),(80,1),(84,1)}
        64:{1,2,5,6}:{(47,1),(53,1),(80,1),(81,1),(118,1)}
        65:{1,3,5,7}:{(48,1),(49,1),(55,1),(82,1),(84,1)}
        66:{1,2,5,6}:{(48,1),(56,1),(82,1),(83,1),(118,1)}
        67:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(58,1),(80,1),(82,1),(84,1),(112,1),(114,1)}
        68:{3,5,6}:{(51,1),(59,1),(84,1),(85,1),(93,1),(132,1),(139,1)}
        69:{1,2,3,5,7}:{(54,1),(57,1),(86,1),(87,1),(118,1)}
        70:{1,2,4,6,7}:{(52,1),(53,1),(80,1),(88,1),(112,1)}
        71:{1,3,6}:{(53,1),(54,1),(59,1),(139,1)}
        72:{1,3,4,7}:{(54,1),(60,1),(87,1),(89,1),(112,1),(131,1)}
        73:{1,2,4,6,7}:{(55,1),(56,1),(82,1),(90,1),(114,1)}
        74:{2,3,6}:{(56,1),(57,1),(59,1),(139,1)}
        75:{2,3,4,7}:{(57,1),(60,1),(87,1),(91,1),(114,1),(131,1)}
        76:{3,6,7}:{(58,1),(59,1),(84,1),(139,1)}
        77:{3,4,6}:{(59,1),(60,1),(62,1),(93,1)}
        78:{1,2,4,6,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(114,1),(134,1),(135,1)}
        79:{1,2,4,5}:{(62,1),(93,1),(113,1),(115,1),(118,1)}
        80:{1,2,5,7}:{(63,1),(64,1),(70,1),(96,1)}
        81:{1,3,5,6}:{(64,1),(68,1),(71,1),(96,1),(97,1),(105,1)}
        82:{1,2,5,7}:{(65,1),(66,1),(73,1),(98,1)}
        83:{2,3,5,6}:{(66,1),(68,1),(74,1),(98,1),(99,1),(107,1)}
        84:{3,5,7}:{(67,1),(68,1),(76,1),(100,1)}
        85:{3,4,6}:{(68,1),(97,1),(99,1),(100,1),(101,1)}
        86:{1,2,3,6}:{(69,1),(71,1),(74,1),(103,1)}
        87:{1,2,4,7}:{(69,1),(72,1),(75,1),(103,1)}
        88:{1,3,6,7}:{(70,1),(71,1),(76,1),(96,1)}
        89:{1,3,4,6}:{(71,1),(72,1),(77,1),(97,1),(103,1),(105,1),(122,1)}
        90:{2,3,6,7}:{(73,1),(74,1),(76,1),(98,1)}
        91:{2,3,4,6}:{(74,1),(75,1),(77,1),(99,1),(103,1),(107,1),(122,1)}
        92:{3,4,6,7}:{(76,1),(77,1),(78,1),(100,1),(108,1),(127,1)}
        93:{3,5}:{(77,1),(79,1)}
        94:{1,2,4,5,7}:{(78,1),(79,1),(108,1),(109,1),(125,1),(126,1),(128,1)}
        95:{1,2,3,5,6}:{(81,1),(83,1),(86,1),(110,1),(111,1),(118,1),(132,1),(136,1),(139,1)}
        96:{1,3,5,7}:{(80,1),(81,1),(84,1),(88,1),(112,1)}
        97:{1,4,6}:{(81,1),(85,1),(112,1),(113,1)}
        98:{2,3,5,7}:{(82,1),(83,1),(84,1),(90,1),(114,1)}
        99:{2,4,6}:{(83,1),(85,1),(114,1),(115,1)}
       100:{3,4,7}:{(84,1),(85,1),(112,1),(114,1)}
       101:{3,4,5}:{(85,1),(93,1),(113,1),(115,1),(132,1)}
       102:{1,2,3,6,7}:{(86,1),(88,1),(90,1),(110,1),(117,1),(139,1)}
       103:{1,2,4,6}:{(86,1),(87,1),(89,1),(91,1),(118,1)}
       104:{1,3,4,6,7}:{(88,1),(89,1),(92,1),(112,1),(117,1),(119,1),(131,1),(134,1),(139,1)}
       105:{1,3,5}:{(89,1),(93,1),(113,1),(118,1),(132,1)}
       106:{2,3,4,6,7}:{(90,1),(91,1),(92,1),(114,1),(117,1),(120,1),(131,1),(135,1),(139,1)}
       107:{2,3,5}:{(91,1),(93,1),(115,1),(118,1),(132,1)}
       108:{3,5,7}:{(92,1),(93,1),(94,1),(121,1)}
       109:{1,2,4,5,6}:{(94,1),(121,1),(134,1),(135,1),(136,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(102,1),(123,1),(128,1),(137,1)}
       111:{1,2,4,6}:{(95,1),(97,1),(99,1),(122,1),(123,1),(124,1)}
       112:{1,4,7}:{(96,1),(97,1),(100,1)}
       113:{1,4,5}:{(97,1),(101,1),(105,1)}
       114:{2,4,7}:{(98,1),(99,1),(100,1)}
       115:{2,4,5}:{(99,1),(101,1),(107,1)}
       116:{3,4,5,7}:{(100,1),(101,1),(108,1),(125,1),(126,1),(127,1),(137,1)}
       117:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(106,1),(123,1),(128,1),(138,1)}
       118:{1,2,5}:{(103,1),(105,1),(107,1)}
       119:{1,3,5,7}:{(104,1),(105,1),(108,1),(125,1),(128,1),(129,1),(137,1)}
       120:{2,3,5,7}:{(106,1),(107,1),(108,1),(126,1),(128,1),(130,1),(137,1)}
       121:{3,5,6}:{(108,1),(109,1),(127,1)}
       122:{3,4,6}:{(111,1),(131,1),(132,1),(139,1)}
       123:{1,2,4,7}:{(110,1),(111,1),(112,1),(114,1),(131,1)}
       124:{1,2,4,5}:{(111,1),(113,1),(115,1),(118,1),(132,1)}
       125:{1,4,5,7}:{(112,1),(113,1),(116,1),(119,1),(134,1)}
       126:{2,4,5,7}:{(114,1),(115,1),(116,1),(120,1),(135,1)}
       127:{3,4,6}:{(116,1),(121,1),(134,1),(135,1),(139,1)}
       128:{1,2,5,7}:{(117,1),(118,1),(119,1),(120,1),(136,1)}
       129:{1,3,5,6}:{(119,1),(121,1),(134,1),(136,1),(139,1)}
       130:{2,3,5,6}:{(120,1),(121,1),(135,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(137,1)}
       132:{3,5}:{(122,1),(124,1)}
       133:{1,2,4,5,7}:{(123,1),(124,1),(125,1),(126,1),(128,1),(137,1),(138,1)}
       134:{1,4,6}:{(125,1),(127,1),(129,1)}
       135:{2,4,6}:{(126,1),(127,1),(130,1)}
       136:{1,2,5,6}:{(128,1),(129,1),(130,1),(138,1)}
       137:{3,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       138:{1,2,4,6}:{(133,1),(134,1),(135,1),(136,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1261 :   0:{1,3,4,6}:{(4,1),(5,1),(6,1),(8,1),(37,1),(40,1),(46,1),(75,1),(124,1)}
         1:{1,3,5,6}:{(5,1),(7,1),(8,1),(9,1),(12,1),(37,1),(40,1),(84,1),(129,1)}
         2:{2,3,5,6}:{(7,1),(10,1),(11,1),(31,1),(38,1),(40,1),(77,1),(86,1),(87,1),(125,1),(129,1)}
         3:{1,4,5,6}:{(8,1),(12,1),(13,1),(84,1),(131,1)}
         4:{1,2,4,6}:{(0,1),(14,1),(15,1),(16,1),(52,1),(56,1),(102,1)}
         5:{1,3,5}:{(0,1),(15,1),(17,1),(54,1),(60,1),(145,1)}
         6:{1,3,4,7}:{(0,1),(16,1),(18,1),(23,1),(65,1),(70,1),(101,1),(205,1)}
         7:{1,2,5,6}:{(1,1),(2,1),(15,1),(20,1),(21,1),(28,1),(56,1),(60,1),(110,1)}
         8:{1,4,6}:{(1,1),(17,1),(22,1),(23,1),(149,1)}
         9:{1,3,5,7}:{(1,1),(21,1),(23,1),(24,1),(29,1),(65,1),(69,1),(115,1)}
        10:{2,4,6}:{(2,1),(19,1),(25,1),(26,1),(52,1),(149,1)}
        11:{2,3,5,7}:{(2,1),(21,1),(26,1),(27,1),(61,1),(65,1),(72,1),(115,1)}
        12:{3,5,6}:{(3,1),(22,1),(28,1),(29,1)}
        13:{1,4,5,7}:{(3,1),(23,1),(29,1),(30,1),(69,1),(117,1)}
        14:{2,3,6}:{(4,1),(31,1),(32,1),(40,1)}
        15:{1,2,5}:{(4,1),(5,1),(31,1),(125,1)}
        16:{1,2,4,7}:{(4,1),(6,1),(32,1),(34,1),(76,1),(208,1)}
        17:{1,4,5}:{(5,1),(8,1),(35,1),(162,1)}
        18:{1,3,5,7}:{(5,1),(6,1),(34,1),(36,1),(37,1),(80,1),(85,1),(192,1),(202,1)}
        19:{2,4,5}:{(10,1),(38,1),(125,1),(162,1)}
        20:{1,2,4,6}:{(7,1),(8,1),(10,1),(33,1),(40,1),(41,1),(43,1),(46,1),(88,1)}
        21:{1,2,5,7}:{(7,1),(9,1),(11,1),(41,1),(42,1),(49,1),(85,1)}
        22:{3,4,6}:{(8,1),(12,1),(35,1),(40,1),(43,1),(44,1)}
        23:{1,4,7}:{(8,1),(9,1),(44,1),(137,1)}
        24:{1,3,6,7}:{(9,1),(37,1),(42,1),(45,1),(50,1),(91,1),(192,1)}
        25:{3,4,6}:{(10,1),(38,1),(40,1),(46,1),(47,1),(75,1),(86,1)}
        26:{2,4,7}:{(10,1),(11,1),(47,1),(137,1)}
        27:{2,3,6,7}:{(11,1),(42,1),(48,1),(77,1),(86,1),(91,1),(193,1)}
        28:{2,5,6}:{(12,1),(43,1),(49,1)}
        29:{3,5,7}:{(12,1),(13,1),(44,1),(49,1),(50,1)}
        30:{1,4,6,7}:{(13,1),(50,1),(51,1),(98,1)}
        31:{2,3,5}:{(14,1),(15,1),(52,1),(54,1)}
        32:{2,3,7}:{(14,1),(16,1),(65,1),(209,1)}
        33:{1,2,4,5}:{(15,1),(17,1),(19,1),(20,1),(52,1),(54,1),(57,1),(60,1),(99,1),(103,1)}
        34:{1,2,5,7}:{(15,1),(16,1),(18,1),(53,1),(56,1),(200,1),(207,1)}
        35:{3,4,5}:{(17,1),(22,1),(54,1),(57,1)}
        36:{1,4,5,7}:{(17,1),(18,1),(23,1),(58,1),(59,1),(69,1),(184,1),(197,1)}
        37:{1,3,6}:{(18,1),(56,1),(59,1),(106,1),(110,1)}
        38:{3,5}:{(19,1),(25,1),(60,1)}
        39:{2,4,5,7}:{(19,1),(26,1),(61,1),(62,1),(72,1),(119,1)}
        40:{3,6}:{(20,1),(54,1),(65,1)}
        41:{1,2,4,7}:{(20,1),(21,1),(23,1),(26,1),(65,1),(67,1),(70,1),(112,1)}
        42:{1,2,6,7}:{(21,1),(24,1),(27,1),(56,1),(73,1),(110,1),(200,1)}
        43:{2,4,6}:{(22,1),(28,1),(57,1),(64,1),(67,1)}
        44:{3,4,7}:{(22,1),(23,1),(29,1),(65,1),(67,1)}
        45:{1,4,6,7}:{(23,1),(24,1),(59,1),(68,1),(69,1),(157,1),(184,1)}
        46:{1,4,6}:{(25,1),(60,1),(63,1),(70,1),(99,1),(110,1)}
        47:{3,4,7}:{(25,1),(26,1),(61,1),(65,1),(70,1)}
        48:{2,4,6,7}:{(26,1),(27,1),(62,1),(71,1),(72,1),(102,1),(181,1),(183,1)}
        49:{2,5,7}:{(28,1),(29,1),(67,1),(73,1)}
        50:{3,6,7}:{(29,1),(30,1),(73,1)}
        51:{1,5,6,7}:{(30,1),(69,1),(74,1),(157,1)}
        52:{2,4}:{(31,1),(75,1)}
        53:{2,3,5,7}:{(31,1),(32,1),(34,1),(76,1),(77,1),(80,1),(125,1),(172,1),(193,1),(203,1)}
        54:{3,5}:{(33,1),(40,1),(75,1)}
        55:{1,2,4,5,7}:{(33,1),(34,1),(36,1),(39,1),(41,1),(76,1),(80,1),(81,1),(82,1),(85,1),(92,1),(122,1),(125,1),(126,1),(137,1),(139,1),(160,1),(162,1),(168,1),(172,1),(186,1)}
        56:{1,2,6}:{(34,1),(37,1),(77,1)}
        57:{2,4,5}:{(35,1),(43,1),(79,1)}
        58:{3,4,5,7}:{(35,1),(36,1),(44,1),(80,1),(82,1),(83,1),(94,1),(137,1),(162,1),(170,1),(188,1)}
        59:{1,4,6}:{(36,1),(37,1),(83,1),(84,1)}
        60:{1,5}:{(38,1),(46,1)}
        61:{3,5,7}:{(38,1),(39,1),(47,1),(85,1),(86,1)}
        62:{2,4,6}:{(39,1),(86,1),(87,1),(133,1)}
        63:{1,3,6}:{(40,1),(46,1),(78,1),(88,1),(89,1)}
        64:{2,3,6}:{(40,1),(43,1),(79,1),(88,1),(90,1)}
        65:{3,7}:{(40,1),(41,1)}
        66:{1,2,4,6,7}:{(41,1),(42,1),(45,1),(48,1),(81,1),(91,1),(92,1),(93,1),(95,1),(134,1),(137,1),(168,1)}
        67:{2,4,7}:{(43,1),(44,1),(49,1),(90,1)}
        68:{3,4,6,7}:{(44,1),(45,1),(50,1),(83,1),(91,1),(93,1),(94,1),(98,1),(137,1),(140,1),(170,1)}
        69:{1,5,7}:{(45,1),(84,1),(94,1)}
        70:{1,4,7}:{(46,1),(47,1),(85,1),(89,1)}
        71:{3,4,6,7}:{(47,1),(48,1),(86,1),(91,1),(95,1),(96,1),(124,1),(133,1),(137,1),(167,1),(169,1)}
        72:{2,5,7}:{(48,1),(87,1),(96,1),(125,1)}
        73:{2,6,7}:{(49,1),(50,1)}
        74:{3,5,6,7}:{(50,1),(51,1),(94,1),(97,1),(98,1),(140,1)}
        75:{3,4}:{(52,1),(54,1),(99,1)}
        76:{2,4,7}:{(52,1),(53,1),(101,1),(102,1),(206,1)}
        77:{2,3,6}:{(53,1),(56,1),(102,1),(106,1),(181,1)}
        78:{1,3,5}:{(54,1),(60,1),(63,1),(99,1),(103,1),(141,1)}
        79:{2,3,5}:{(54,1),(57,1),(64,1),(100,1),(103,1)}
        80:{3,5,7}:{(54,1),(55,1),(65,1),(101,1),(106,1),(145,1),(182,1),(195,1)}
        81:{1,2,4,6}:{(55,1),(56,1),(59,1),(62,1),(102,1),(106,1),(107,1),(108,1),(110,1),(143,1),(146,1),(149,1),(151,1),(181,1)}
        82:{2,4,5,7}:{(57,1),(58,1),(67,1),(105,1),(108,1),(116,1),(154,1),(176,1)}
        83:{3,4,6}:{(58,1),(59,1),(106,1),(108,1),(109,1),(149,1)}
        84:{1,5,6}:{(59,1),(69,1),(109,1)}
        85:{1,5,7}:{(60,1),(61,1),(70,1),(110,1)}
        86:{3,6}:{(61,1),(62,1),(110,1)}
        87:{2,5,6}:{(62,1),(72,1),(111,1),(181,1)}
        88:{1,2,6}:{(63,1),(64,1),(103,1),(112,1)}
        89:{1,3,7}:{(63,1),(65,1),(70,1),(112,1)}
        90:{2,3,7}:{(64,1),(65,1),(67,1),(112,1)}
        91:{3,6,7}:{(65,1),(66,1),(106,1),(115,1),(182,1)}
        92:{1,2,5,7}:{(66,1),(69,1),(72,1),(107,1),(115,1),(116,1),(118,1)}
        93:{2,4,6,7}:{(67,1),(68,1),(73,1),(108,1),(114,1),(116,1),(154,1)}
        94:{3,5,7}:{(68,1),(69,1),(109,1),(116,1),(117,1)}
        95:{1,4,6,7}:{(70,1),(71,1),(110,1),(113,1),(118,1),(143,1),(151,1),(153,1)}
        96:{3,5,7}:{(71,1),(72,1),(111,1),(118,1),(119,1),(145,1)}
        97:{2,5,6,7}:{(73,1),(74,1),(116,1),(120,1)}
        98:{4,6,7}:{(74,1),(117,1)}
        99:{1,4}:{(75,1),(78,1)}
       100:{2,3,4}:{(75,1),(79,1),(121,1)}
       101:{3,4,7}:{(75,1),(76,1),(80,1),(122,1),(124,1),(137,1),(201,1)}
       102:{2,4,6}:{(76,1),(77,1),(124,1),(125,1)}
       103:{1,2,5}:{(78,1),(79,1),(88,1),(121,1)}
       104:{1,3,5,7}:{(78,1),(80,1),(85,1),(89,1),(122,1),(126,1),(127,1),(158,1),(160,1),(185,1)}
       105:{2,3,5,7}:{(79,1),(80,1),(82,1),(90,1),(123,1),(126,1),(128,1),(161,1),(172,1)}
       106:{3,6}:{(80,1),(81,1)}
       107:{1,2,5,6}:{(81,1),(84,1),(87,1),(92,1),(125,1),(129,1),(130,1),(132,1),(160,1)}
       108:{2,4,6}:{(82,1),(83,1),(128,1),(130,1)}
       109:{3,5,6}:{(83,1),(84,1),(94,1),(130,1),(131,1)}
       110:{1,6}:{(85,1),(86,1)}
       111:{3,5,6}:{(86,1),(87,1),(96,1),(132,1),(133,1),(167,1)}
       112:{1,2,7}:{(88,1),(89,1),(90,1)}
       113:{1,3,6,7}:{(89,1),(91,1),(95,1),(127,1),(134,1),(135,1),(167,1)}
       114:{2,3,6,7}:{(90,1),(91,1),(93,1),(128,1),(134,1),(136,1),(140,1)}
       115:{3,5,7}:{(91,1),(92,1),(129,1),(137,1)}
       116:{2,5,7}:{(93,1),(94,1),(130,1)}
       117:{4,5,7}:{(94,1),(98,1),(131,1),(137,1)}
       118:{1,5,7}:{(95,1),(96,1),(132,1),(160,1)}
       119:{4,5,7}:{(96,1),(133,1),(137,1),(162,1)}
       120:{2,4,6,7}:{(97,1),(98,1),(138,1),(140,1)}
       121:{1,2,4}:{(99,1),(100,1),(103,1),(141,1)}
       122:{1,4,7}:{(99,1),(101,1),(104,1),(143,1),(194,1)}
       123:{2,3,4,7}:{(100,1),(101,1),(105,1),(142,1),(144,1),(154,1),(182,1),(183,1)}
       124:{3,4,6}:{(101,1),(102,1),(106,1),(143,1),(145,1),(149,1)}
       125:{2,5}:{(102,1),(145,1)}
       126:{1,2,5,7}:{(103,1),(104,1),(105,1),(112,1),(142,1),(146,1),(174,1)}
       127:{1,3,6}:{(104,1),(106,1),(110,1),(143,1),(146,1)}
       128:{2,3,6}:{(105,1),(106,1),(108,1),(146,1),(181,1)}
       129:{3,5,6}:{(106,1),(107,1),(115,1),(145,1),(149,1)}
       130:{2,5,6}:{(108,1),(109,1),(116,1)}
       131:{4,5,6}:{(109,1),(117,1),(149,1)}
       132:{1,5,6}:{(110,1),(111,1),(118,1),(151,1)}
       133:{4,6}:{(111,1),(119,1)}
       134:{1,2,6,7}:{(112,1),(113,1),(114,1),(146,1),(152,1),(157,1),(181,1)}
       135:{1,3,5,7}:{(113,1),(115,1),(118,1),(147,1),(152,1),(153,1),(156,1),(182,1)}
       136:{2,3,5,7}:{(114,1),(115,1),(116,1),(148,1),(152,1),(154,1),(155,1),(182,1)}
       137:{4,7}:{(115,1),(149,1)}
       138:{2,4,5,7}:{(116,1),(117,1),(120,1),(150,1),(154,1),(155,1)}
       139:{1,4,5,7}:{(118,1),(119,1),(151,1),(153,1),(156,1),(175,1)}
       140:{3,6,7}:{(120,1),(155,1),(157,1)}
       141:{1,3}:{(121,1)}
       142:{1,2,4,7}:{(121,1),(122,1),(123,1),(126,1),(158,1),(159,1)}
       143:{1,4,6}:{(122,1),(124,1),(127,1),(160,1)}
       144:{2,3,4,6}:{(123,1),(124,1),(128,1),(159,1),(161,1),(165,1),(189,1),(190,1),(201,1)}
       145:{3,5}:{(124,1),(125,1),(160,1),(162,1)}
       146:{1,2,6}:{(126,1),(127,1),(128,1)}
       147:{1,3,5,6}:{(127,1),(129,1),(132,1),(135,1),(160,1),(163,1),(164,1),(167,1),(185,1),(187,1),(189,1)}
       148:{2,3,5,6}:{(128,1),(129,1),(130,1),(136,1),(161,1),(163,1),(165,1),(166,1),(189,1)}
       149:{4,6}:{(129,1),(137,1),(162,1)}
       150:{2,4,5,6}:{(130,1),(131,1),(138,1),(165,1),(166,1)}
       151:{1,4,6}:{(132,1),(133,1),(139,1),(167,1)}
       152:{1,2,5,7}:{(134,1),(135,1),(136,1),(163,1),(168,1),(171,1),(172,1)}
       153:{1,4,7}:{(135,1),(137,1),(164,1),(169,1)}
       154:{2,4,7}:{(136,1),(137,1),(165,1),(170,1)}
       155:{3,5,7}:{(138,1),(140,1),(166,1),(170,1),(171,1)}
       156:{3,5,7}:{(139,1),(167,1),(169,1),(172,1),(187,1)}
       157:{1,6,7}:{(140,1),(171,1)}
       158:{1,3,7}:{(141,1),(142,1),(173,1),(182,1)}
       159:{1,2,4,6}:{(142,1),(143,1),(144,1),(146,1),(173,1),(174,1),(194,1)}
       160:{1,5}:{(143,1),(145,1)}
       161:{2,3,5}:{(144,1),(145,1),(174,1),(176,1),(195,1),(196,1)}
       162:{4,5}:{(145,1),(149,1)}
       163:{1,2,5,6}:{(146,1),(147,1),(148,1),(152,1),(174,1),(177,1),(180,1),(181,1),(196,1)}
       164:{1,4,6}:{(147,1),(149,1),(153,1),(175,1),(178,1),(194,1)}
       165:{2,4,6}:{(148,1),(149,1),(154,1),(176,1),(179,1)}
       166:{3,5,6}:{(150,1),(155,1),(179,1),(180,1)}
       167:{3,6}:{(151,1),(156,1),(181,1)}
       168:{1,2,4,7}:{(152,1),(153,1),(154,1),(177,1),(182,1),(183,1),(184,1),(200,1)}
       169:{3,4,7}:{(153,1),(156,1),(178,1),(182,1),(183,1)}
       170:{3,4,7}:{(154,1),(155,1),(179,1),(182,1),(184,1)}
       171:{1,5,7}:{(155,1),(157,1),(180,1),(184,1)}
       172:{2,5,7}:{(156,1),(181,1),(183,1),(196,1)}
       173:{1,3,6}:{(158,1),(159,1),(185,1),(189,1)}
       174:{1,2,5}:{(159,1),(160,1),(161,1),(185,1)}
       175:{1,4,5}:{(160,1),(162,1),(164,1),(187,1)}
       176:{2,4,5}:{(161,1),(162,1),(165,1),(188,1)}
       177:{1,2,4,6}:{(163,1),(164,1),(165,1),(168,1),(186,1),(189,1),(190,1),(191,1),(204,1)}
       178:{3,4,6}:{(164,1),(167,1),(169,1),(187,1),(189,1),(190,1),(201,1)}
       179:{3,4,6}:{(165,1),(166,1),(170,1),(188,1),(189,1),(191,1)}
       180:{1,5,6}:{(166,1),(171,1),(191,1)}
       181:{2,6}:{(167,1),(172,1)}
       182:{3,7}:{(168,1),(189,1)}
       183:{2,4,7}:{(169,1),(172,1),(190,1),(193,1)}
       184:{1,4,7}:{(170,1),(171,1),(191,1),(192,1)}
       185:{1,3,5}:{(173,1),(174,1),(194,1),(195,1)}
       186:{1,2,4,5}:{(174,1),(175,1),(176,1),(177,1),(194,1),(195,1),(196,1),(197,1),(206,1),(207,1)}
       187:{3,5}:{(175,1),(178,1),(196,1)}
       188:{3,4,5}:{(176,1),(179,1),(195,1),(197,1)}
       189:{3,6}:{(177,1),(182,1),(195,1)}
       190:{2,4,6}:{(178,1),(181,1),(183,1),(196,1),(199,1),(206,1)}
       191:{1,4,6}:{(179,1),(180,1),(184,1),(197,1),(198,1)}
       192:{1,3,7}:{(182,1),(184,1),(198,1),(200,1)}
       193:{2,3,7}:{(182,1),(183,1),(199,1),(200,1)}
       194:{1,4}:{(185,1),(201,1)}
       195:{3,5}:{(186,1),(189,1),(201,1)}
       196:{2,5}:{(187,1),(190,1)}
       197:{1,4,5}:{(188,1),(191,1),(202,1)}
       198:{1,3,6}:{(189,1),(191,1),(192,1),(202,1),(204,1)}
       199:{2,3,6}:{(189,1),(190,1),(193,1),(203,1),(204,1)}
       200:{1,2,7}:{(192,1),(193,1),(204,1)}
       201:{3,4}:{(194,1),(195,1),(206,1)}
       202:{1,3,5}:{(195,1),(197,1),(198,1),(205,1),(207,1)}
       203:{2,3,5}:{(195,1),(196,1),(199,1),(206,1),(207,1),(209,1)}
       204:{1,2,6}:{(198,1),(199,1),(200,1),(207,1)}
       205:{1,3,4}:{(201,1),(202,1),(208,1)}
       206:{2,4}:{(201,1),(203,1)}
       207:{1,2,5}:{(202,1),(203,1),(204,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{2,3}:{(208,1)}

1262 :   0:{1,2,4,5,6}:{(2,1),(3,1),(17,1),(18,1),(22,1),(40,1),(44,1),(76,1),(77,1),(78,1),(98,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(5,1),(7,1),(69,1),(70,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(31,1),(33,1),(34,1),(38,1),(69,1),(70,1)}
         3:{3,5,6}:{(0,1),(6,1),(8,1),(63,1),(90,1),(102,1)}
         4:{1,3,4,6}:{(12,1),(13,1),(14,1),(17,1),(45,1),(55,1),(80,1),(97,1)}
         5:{3,5,6,7}:{(1,1),(15,1),(19,1),(51,1),(96,1)}
         6:{3,4,6}:{(3,1),(11,1),(16,1),(17,1),(18,1),(55,1),(80,1)}
         7:{1,2,4,6,7}:{(1,1),(2,1),(15,1),(19,1),(52,1),(53,1),(56,1),(78,1)}
         8:{3,5,7}:{(2,1),(3,1),(16,1),(19,1)}
         9:{1,3,5,6}:{(3,1),(12,1),(17,1),(20,1),(22,1),(45,1),(55,1),(75,1),(76,1),(94,1),(96,1),(103,1)}
        10:{2,3,5,6}:{(3,1),(18,1),(21,1),(22,1),(39,1),(47,1),(55,1),(73,1),(77,1),(81,1),(96,1),(98,1)}
        11:{3,4,5}:{(6,1),(24,1),(25,1),(63,1),(102,1)}
        12:{1,3,5}:{(4,1),(24,1),(27,1),(63,1),(102,1)}
        13:{1,3,4,7}:{(4,1),(26,1),(28,1),(33,1),(72,1),(91,1)}
        14:{1,2,4,6}:{(4,1),(27,1),(28,1),(29,1),(64,1),(66,1),(92,1)}
        15:{4,6,7}:{(5,1),(31,1),(101,1)}
        16:{3,4,7}:{(6,1),(8,1),(33,1),(34,1),(72,1)}
        17:{1,4,6}:{(6,1),(9,1),(24,1),(33,1),(88,1),(101,1)}
        18:{2,4,6}:{(6,1),(10,1),(25,1),(34,1),(66,1),(101,1)}
        19:{3,6,7}:{(7,1),(8,1),(90,1)}
        20:{1,3,5,7}:{(8,1),(9,1),(33,1),(36,1),(38,1),(69,1),(72,1),(93,1)}
        21:{2,3,5,7}:{(8,1),(10,1),(34,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        22:{1,2,5,6}:{(9,1),(10,1),(27,1),(35,1),(38,1),(58,1),(64,1),(86,1)}
        23:{3,4,5,7}:{(11,1),(16,1),(41,1),(42,1),(43,1),(51,1),(79,1),(99,1),(104,1)}
        24:{1,4,5}:{(11,1),(12,1),(17,1),(103,1),(104,1)}
        25:{2,4,5}:{(11,1),(18,1),(39,1),(98,1),(104,1)}
        26:{1,3,5,7}:{(12,1),(13,1),(42,1),(45,1),(46,1),(79,1)}
        27:{1,2,5}:{(12,1),(14,1),(47,1),(98,1)}
        28:{1,2,4,7}:{(13,1),(14,1),(46,1),(48,1),(82,1)}
        29:{2,3,6}:{(14,1),(47,1),(48,1),(55,1)}
        30:{2,3,4,6}:{(18,1),(39,1),(49,1),(50,1),(55,1),(73,1),(80,1),(97,1)}
        31:{4,5,7}:{(15,1),(40,1),(51,1),(99,1),(104,1)}
        32:{3,4,6,7}:{(15,1),(16,1),(19,1),(41,1),(51,1),(52,1),(53,1),(85,1),(97,1),(99,1)}
        33:{1,4,7}:{(16,1),(17,1),(20,1),(99,1)}
        34:{2,4,7}:{(16,1),(18,1),(21,1),(99,1)}
        35:{1,2,4,6}:{(17,1),(18,1),(22,1),(44,1),(54,1),(55,1)}
        36:{1,3,6,7}:{(19,1),(20,1),(45,1),(52,1),(56,1),(85,1),(94,1)}
        37:{2,3,6,7}:{(19,1),(21,1),(53,1),(56,1),(73,1),(81,1),(85,1)}
        38:{1,2,5,7}:{(20,1),(21,1),(22,1),(54,1),(56,1)}
        39:{2,3,5}:{(25,1),(30,1),(58,1),(63,1),(102,1)}
        40:{4,5,6}:{(31,1),(59,1),(101,1)}
        41:{3,4,6}:{(23,1),(59,1),(60,1),(61,1),(90,1),(101,1)}
        42:{1,4,5,7}:{(23,1),(24,1),(26,1),(33,1),(60,1),(69,1)}
        43:{2,4,5,7}:{(23,1),(25,1),(34,1),(57,1),(61,1),(70,1)}
        44:{1,2,4,5}:{(24,1),(25,1),(27,1),(35,1),(58,1),(63,1),(66,1),(88,1)}
        45:{1,3,6}:{(26,1),(60,1),(64,1),(90,1)}
        46:{1,2,5,7}:{(26,1),(27,1),(28,1),(64,1),(65,1)}
        47:{2,3,5}:{(27,1),(29,1),(63,1),(66,1)}
        48:{2,3,7}:{(28,1),(29,1),(72,1)}
        49:{2,3,4,7}:{(30,1),(34,1),(57,1),(67,1),(72,1),(91,1)}
        50:{1,2,4,6}:{(30,1),(58,1),(67,1),(68,1),(86,1),(88,1),(100,1)}
        51:{3,5,7}:{(31,1),(32,1),(59,1),(69,1),(70,1),(102,1)}
        52:{1,4,6,7}:{(32,1),(33,1),(36,1),(60,1),(69,1),(100,1)}
        53:{2,4,6,7}:{(32,1),(34,1),(37,1),(61,1),(70,1),(92,1)}
        54:{1,2,4,7}:{(33,1),(34,1),(35,1),(38,1),(72,1)}
        55:{3,6}:{(35,1),(63,1),(72,1)}
        56:{1,2,6,7}:{(36,1),(37,1),(38,1),(64,1),(86,1)}
        57:{2,3,5,7}:{(39,1),(43,1),(49,1),(73,1),(74,1),(79,1)}
        58:{1,2,5}:{(39,1),(50,1),(75,1),(103,1)}
        59:{3,5,6}:{(40,1),(41,1),(51,1),(76,1),(77,1)}
        60:{1,4,6}:{(41,1),(42,1),(45,1),(76,1)}
        61:{2,4,6}:{(41,1),(43,1),(73,1),(77,1)}
        62:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(46,1),(54,1),(74,1),(78,1),(79,1),(82,1),(84,1),(95,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5}:{(44,1),(55,1),(80,1)}
        64:{1,2,6}:{(45,1),(46,1),(81,1)}
        65:{2,3,5,7}:{(46,1),(47,1),(48,1),(79,1),(81,1),(82,1),(98,1)}
        66:{2,4}:{(47,1),(80,1)}
        67:{1,2,4,7}:{(49,1),(50,1),(74,1),(83,1),(95,1)}
        68:{1,3,6}:{(50,1),(55,1),(75,1),(83,1)}
        69:{1,5,7}:{(51,1),(52,1),(76,1),(103,1)}
        70:{2,5,7}:{(51,1),(53,1),(77,1),(98,1)}
        71:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(56,1),(78,1),(84,1),(85,1),(99,1)}
        72:{3,7}:{(54,1),(55,1)}
        73:{2,3,6}:{(57,1),(61,1),(86,1),(90,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(67,1),(86,1),(87,1)}
        75:{1,3,5}:{(58,1),(63,1),(68,1),(88,1)}
        76:{1,5,6}:{(59,1),(60,1),(69,1)}
        77:{2,5,6}:{(59,1),(61,1),(70,1)}
        78:{1,2,4,6}:{(60,1),(61,1),(62,1),(64,1),(86,1),(89,1),(90,1),(92,1),(100,1),(101,1)}
        79:{3,5,7}:{(62,1),(63,1),(72,1),(90,1),(91,1),(102,1)}
        80:{3,4}:{(63,1),(66,1),(88,1)}
        81:{2,3,6}:{(64,1),(65,1),(90,1),(92,1)}
        82:{2,4,7}:{(65,1),(66,1),(91,1),(92,1)}
        83:{1,3,7}:{(67,1),(68,1),(72,1)}
        84:{1,2,5,7}:{(69,1),(70,1),(71,1),(89,1),(93,1)}
        85:{3,6,7}:{(71,1),(72,1),(90,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{1,3,5,7}:{(74,1),(75,1),(79,1),(83,1),(94,1),(95,1),(103,1)}
        88:{1,4}:{(75,1),(80,1)}
        89:{1,2,5,6}:{(76,1),(77,1),(78,1),(84,1),(96,1),(98,1),(103,1)}
        90:{3,6}:{(78,1),(79,1)}
        91:{3,4,7}:{(79,1),(80,1),(82,1),(95,1),(97,1),(99,1)}
        92:{2,4,6}:{(81,1),(82,1),(97,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(96,1),(99,1)}
        94:{1,3,6}:{(86,1),(87,1),(90,1),(100,1)}
        95:{1,4,7}:{(87,1),(88,1),(91,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(93,1),(101,1),(102,1)}
        97:{3,4,6}:{(90,1),(91,1),(92,1),(100,1),(101,1),(102,1)}
        98:{2,5}:{(92,1),(102,1)}
        99:{4,7}:{(93,1),(101,1)}
       100:{1,4,6}:{(94,1),(95,1),(97,1),(103,1)}
       101:{4,6}:{(96,1),(99,1),(104,1)}
       102:{3,5}:{(97,1),(98,1),(103,1),(104,1)}
       103:{1,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1263 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(33,1),(75,1),(89,1),(93,1),(121,1),(131,1),(142,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(69,1),(148,1),(158,1),(167,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(20,1),(26,1),(59,1),(66,1),(70,1)}
         3:{2,4,5,6,7}:{(10,1),(40,1),(170,1)}
         4:{2,3,4,6,7}:{(1,1),(12,1),(13,1),(40,1),(86,1),(89,1),(139,1)}
         5:{3,4,5,6}:{(11,1),(14,1),(15,1),(47,1),(125,1),(172,1)}
         6:{2,3,5,6}:{(1,1),(12,1),(15,1),(16,1),(47,1),(75,1),(186,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(48,1)}
         8:{1,3,5,7}:{(2,1),(17,1),(18,1),(49,1),(131,1)}
         9:{1,2,3,5,7}:{(8,1),(19,1),(20,1),(53,1),(59,1)}
        10:{3,5,6,7}:{(3,1),(21,1),(22,1),(189,1)}
        11:{3,4,5,7}:{(5,1),(21,1),(24,1),(25,1),(65,1)}
        12:{2,3,5,7}:{(4,1),(6,1),(25,1),(26,1),(65,1),(164,1)}
        13:{1,2,4,6,7}:{(4,1),(7,1),(26,1),(27,1),(66,1)}
        14:{1,4,5,6}:{(5,1),(24,1),(28,1),(152,1),(191,1)}
        15:{2,4,5,6}:{(5,1),(6,1),(25,1),(98,1),(148,1)}
        16:{1,2,5,6}:{(6,1),(7,1),(26,1),(30,1),(59,1)}
        17:{1,3,6}:{(7,1),(8,1),(158,1)}
        18:{1,3,4,7}:{(8,1),(20,1),(31,1),(66,1),(102,1)}
        19:{1,2,3,6}:{(9,1),(17,1),(37,1),(76,1)}
        20:{1,2,4,7}:{(9,1),(18,1),(33,1),(37,1)}
        21:{3,4,6,7}:{(10,1),(11,1),(39,1),(40,1),(86,1),(172,1)}
        22:{1,5,6,7}:{(10,1),(39,1),(202,1)}
        23:{2,3,5,6,7}:{(10,1),(12,1),(40,1),(41,1),(86,1),(122,1)}
        24:{1,4,5,7}:{(11,1),(14,1),(39,1),(42,1)}
        25:{2,4,5,7}:{(11,1),(12,1),(15,1),(40,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(16,1),(44,1)}
        27:{1,3,6,7}:{(13,1),(17,1),(44,1),(86,1)}
        28:{1,3,5,6}:{(14,1),(35,1),(42,1),(46,1),(47,1),(136,1),(181,1)}
        29:{1,2,4,5,6}:{(14,1),(15,1),(16,1),(43,1),(46,1),(47,1),(48,1),(82,1),(92,1),(132,1),(141,1),(186,1)}
        30:{1,3,5,6}:{(16,1),(17,1),(44,1),(47,1),(48,1),(49,1)}
        31:{1,3,4,6}:{(17,1),(18,1),(37,1),(48,1),(49,1),(81,1)}
        32:{1,3,4,5,7}:{(18,1),(38,1),(49,1),(50,1),(90,1),(95,1),(125,1),(131,1),(171,1),(178,1)}
        33:{2,3,4,7}:{(20,1),(52,1),(53,1),(102,1),(154,1)}
        34:{1,2,3,6,7}:{(19,1),(27,1),(55,1),(56,1),(100,1),(111,1),(158,1),(197,1),(199,1)}
        35:{1,3,4,6}:{(28,1),(51,1),(54,1),(57,1),(69,1)}
        36:{1,2,3,5,6}:{(19,1),(30,1),(55,1),(58,1),(59,1),(68,1),(99,1),(104,1),(105,1),(108,1),(158,1),(160,1),(162,1),(197,1)}
        37:{1,2,4,6}:{(19,1),(20,1),(31,1),(52,1),(59,1)}
        38:{1,2,4,5,7}:{(20,1),(32,1),(53,1),(59,1),(60,1),(98,1),(110,1),(154,1)}
        39:{1,4,6,7}:{(21,1),(22,1),(24,1),(61,1),(191,1)}
        40:{2,4,6,7}:{(21,1),(23,1),(25,1),(148,1)}
        41:{1,2,5,6,7}:{(22,1),(23,1),(26,1),(62,1),(63,1),(104,1),(164,1)}
        42:{1,3,5,7}:{(24,1),(28,1),(54,1),(61,1),(64,1),(65,1)}
        43:{1,2,4,5,7}:{(24,1),(25,1),(26,1),(29,1),(62,1),(64,1),(65,1),(66,1),(113,1),(114,1),(164,1)}
        44:{1,3,5,7}:{(26,1),(27,1),(30,1),(65,1),(66,1)}
        45:{1,3,4,6,7}:{(27,1),(31,1),(56,1),(66,1),(67,1),(102,1),(112,1),(116,1),(158,1)}
        46:{1,2,5,6}:{(28,1),(57,1),(64,1),(68,1),(160,1),(197,1)}
        47:{3,5,6}:{(29,1),(65,1),(69,1),(108,1),(158,1)}
        48:{1,4,6}:{(30,1),(66,1),(69,1),(70,1)}
        49:{1,3,5}:{(31,1),(59,1),(70,1),(108,1)}
        50:{1,3,4,6}:{(32,1),(60,1),(71,1),(116,1),(153,1),(158,1),(191,1)}
        51:{1,3,4,5}:{(35,1),(74,1),(93,1),(136,1),(174,1)}
        52:{2,3,4,6}:{(33,1),(37,1),(75,1),(76,1),(81,1),(126,1)}
        53:{2,3,5,7}:{(33,1),(38,1),(75,1),(76,1),(131,1)}
        54:{1,3,4,7}:{(35,1),(42,1),(77,1),(89,1)}
        55:{1,2,3,5,7}:{(34,1),(36,1),(44,1),(78,1),(79,1),(88,1),(127,1),(128,1),(131,1),(179,1),(185,1)}
        56:{1,2,4,6,7}:{(34,1),(37,1),(45,1),(73,1),(78,1),(79,1),(132,1),(139,1),(204,1)}
        57:{1,2,4,6}:{(35,1),(46,1),(74,1),(77,1),(80,1),(92,1)}
        58:{1,2,4,6}:{(36,1),(48,1),(78,1),(81,1),(82,1),(92,1),(126,1),(177,1)}
        59:{1,2,5}:{(37,1),(49,1),(75,1)}
        60:{1,2,4,6}:{(38,1),(50,1),(76,1),(83,1),(126,1)}
        61:{1,3,6,7}:{(39,1),(42,1),(85,1),(86,1),(181,1)}
        62:{1,2,4,6,7}:{(39,1),(40,1),(41,1),(43,1),(85,1),(86,1),(87,1),(132,1),(139,1)}
        63:{1,3,5,6,7}:{(41,1),(44,1),(86,1),(87,1),(91,1),(140,1)}
        64:{1,2,5,7}:{(42,1),(46,1),(77,1),(85,1),(88,1)}
        65:{3,5,7}:{(43,1),(47,1),(86,1),(89,1)}
        66:{1,4,7}:{(44,1),(48,1),(89,1)}
        67:{1,3,5,7}:{(45,1),(49,1),(79,1),(90,1),(91,1),(131,1),(140,1)}
        68:{2,3,5,6}:{(46,1),(47,1),(80,1),(88,1),(92,1),(135,1),(180,1),(186,1)}
        69:{3,4,6}:{(47,1),(48,1),(89,1),(92,1),(93,1)}
        70:{1,4,5}:{(48,1),(49,1),(93,1)}
        71:{1,3,5,6}:{(49,1),(50,1),(83,1),(94,1),(95,1),(137,1),(202,1)}
        72:{1,3,4,6,7}:{(50,1),(84,1),(95,1),(144,1),(178,1),(182,1),(204,1)}
        73:{2,3,4,6,7}:{(52,1),(56,1),(96,1),(100,1),(102,1),(148,1),(154,1),(158,1),(192,1)}
        74:{1,2,4,5}:{(51,1),(57,1),(97,1),(118,1),(150,1),(160,1)}
        75:{2,3,5}:{(52,1),(59,1),(98,1),(108,1)}
        76:{2,3,6}:{(53,1),(60,1),(158,1)}
        77:{1,2,4,7}:{(54,1),(57,1),(64,1),(101,1),(114,1)}
        78:{1,2,4,7}:{(55,1),(58,1),(66,1),(102,1),(114,1),(154,1),(196,1)}
        79:{1,2,5,7}:{(56,1),(59,1),(67,1),(96,1),(104,1),(164,1),(208,1)}
        80:{2,3,6}:{(57,1),(97,1),(101,1)}
        81:{3,4,6}:{(58,1),(102,1),(108,1),(158,1)}
        82:{1,2,4,5}:{(58,1),(59,1),(70,1),(98,1),(108,1),(118,1),(152,1),(160,1)}
        83:{1,2,5,6}:{(59,1),(60,1),(71,1),(99,1),(110,1)}
        84:{1,2,4,6,7}:{(60,1),(72,1),(100,1),(110,1),(154,1)}
        85:{1,2,6,7}:{(61,1),(64,1),(111,1),(197,1)}
        86:{3,6,7}:{(62,1),(65,1),(158,1)}
        87:{1,4,6,7}:{(63,1),(66,1),(112,1),(113,1),(116,1)}
        88:{2,3,5,7}:{(64,1),(65,1),(68,1),(101,1),(111,1),(114,1),(164,1)}
        89:{3,4,7}:{(65,1),(66,1),(69,1),(114,1)}
        90:{1,4,5,7}:{(66,1),(67,1),(70,1),(115,1),(116,1)}
        91:{1,3,5,6}:{(67,1),(104,1),(116,1),(158,1),(165,1)}
        92:{2,4,6}:{(68,1),(69,1),(114,1),(118,1)}
        93:{3,4,5}:{(69,1),(70,1),(108,1),(118,1)}
        94:{1,4,5,6}:{(70,1),(71,1),(116,1),(119,1),(120,1)}
        95:{1,3,5,7}:{(71,1),(72,1),(110,1),(120,1),(163,1),(208,1)}
        96:{2,3,5,7}:{(73,1),(75,1),(79,1),(121,1),(122,1),(131,1),(203,1)}
        97:{2,3,5}:{(74,1),(80,1),(124,1)}
        98:{2,4,5}:{(75,1),(125,1),(126,1)}
        99:{2,3,5,6}:{(75,1),(76,1),(83,1),(126,1),(127,1),(137,1)}
       100:{2,3,6,7}:{(76,1),(84,1),(127,1),(182,1)}
       101:{2,3,7}:{(77,1),(80,1)}
       102:{3,4,7}:{(78,1),(81,1),(131,1)}
       103:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(90,1),(121,1),(131,1),(132,1),(142,1),(171,1),(179,1)}
       104:{1,2,5,6}:{(79,1),(91,1),(122,1),(132,1),(186,1),(202,1)}
       105:{1,2,3,6}:{(80,1),(123,1),(128,1),(134,1),(205,1)}
       106:{2,3,4,6}:{(80,1),(81,1),(92,1),(124,1),(129,1),(134,1),(135,1),(180,1)}
       107:{1,3,4,6}:{(81,1),(130,1),(134,1),(136,1),(174,1),(177,1),(181,1),(205,1)}
       108:{3,5}:{(81,1),(82,1)}
       109:{1,2,4,5,6}:{(82,1),(83,1),(94,1),(126,1),(132,1),(137,1),(138,1),(145,1),(170,1),(177,1),(183,1),(202,1)}
       110:{1,2,5,7}:{(83,1),(84,1),(95,1),(127,1)}
       111:{2,3,6,7}:{(85,1),(86,1),(88,1),(139,1),(180,1)}
       112:{3,4,6,7}:{(86,1),(87,1),(89,1),(139,1),(140,1),(143,1)}
       113:{1,4,5,7}:{(87,1),(140,1),(141,1)}
       114:{2,4,7}:{(88,1),(89,1),(92,1)}
       115:{3,4,5,7}:{(89,1),(90,1),(93,1),(131,1),(140,1),(142,1),(143,1)}
       116:{1,4,6}:{(90,1),(91,1),(143,1)}
       117:{1,3,5,6,7}:{(91,1),(95,1),(133,1),(144,1),(182,1),(187,1)}
       118:{2,4,5}:{(92,1),(93,1),(135,1)}
       119:{3,4,5,6}:{(93,1),(94,1),(137,1),(143,1),(145,1),(146,1)}
       120:{1,4,5,7}:{(94,1),(95,1),(144,1),(146,1)}
       121:{2,4,5,7}:{(96,1),(98,1),(147,1),(148,1),(154,1)}
       122:{2,3,5,6}:{(96,1),(104,1),(148,1),(158,1),(189,1)}
       123:{1,2,3,5}:{(97,1),(105,1),(150,1),(160,1),(193,1)}
       124:{2,3,4}:{(97,1),(150,1)}
       125:{3,4,5}:{(98,1),(108,1),(152,1),(153,1)}
       126:{2,4,6}:{(98,1),(99,1),(153,1),(154,1)}
       127:{2,3,5,7}:{(99,1),(100,1),(110,1),(154,1),(163,1)}
       128:{1,2,3,7}:{(101,1),(105,1),(155,1),(209,1)}
       129:{2,3,4,7}:{(101,1),(102,1),(106,1),(114,1),(155,1),(156,1)}
       130:{1,3,4,7}:{(102,1),(107,1),(155,1),(157,1),(196,1),(209,1)}
       131:{3,5,7}:{(102,1),(103,1),(108,1),(158,1)}
       132:{1,2,4,6}:{(103,1),(104,1),(116,1),(148,1),(158,1),(167,1),(191,1),(197,1)}
       133:{1,2,5,6,7}:{(104,1),(110,1),(117,1),(149,1),(159,1),(201,1),(208,1)}
       134:{1,2,4,6}:{(105,1),(106,1),(107,1),(150,1),(155,1),(160,1),(197,1)}
       135:{2,3,5}:{(106,1),(108,1),(118,1),(160,1)}
       136:{1,3,5}:{(107,1),(108,1),(152,1),(160,1)}
       137:{3,5,6}:{(108,1),(109,1),(153,1),(158,1),(163,1)}
       138:{1,2,4,5,7}:{(109,1),(110,1),(120,1),(154,1),(159,1),(163,1),(169,1),(190,1),(196,1),(200,1),(208,1)}
       139:{2,4,6,7}:{(111,1),(112,1),(114,1),(164,1),(167,1)}
       140:{3,5,7}:{(112,1),(113,1),(164,1),(165,1)}
       141:{1,4,5,6}:{(113,1),(116,1),(165,1)}
       142:{2,4,5,7}:{(114,1),(115,1),(118,1),(156,1),(164,1),(167,1)}
       143:{3,4,6}:{(115,1),(116,1),(158,1),(165,1),(167,1)}
       144:{1,4,6,7}:{(116,1),(117,1),(120,1),(168,1)}
       145:{2,4,5,6}:{(118,1),(119,1),(161,1),(167,1),(169,1)}
       146:{3,4,5,7}:{(119,1),(120,1),(163,1),(168,1),(169,1)}
       147:{3,4,5,7}:{(121,1),(125,1),(131,1),(171,1),(172,1),(178,1),(203,1)}
       148:{2,4,6}:{(121,1),(122,1),(172,1)}
       149:{2,3,5,6,7}:{(122,1),(127,1),(133,1),(173,1),(182,1),(203,1)}
       150:{1,2,4}:{(123,1),(124,1),(174,1)}
       151:{2,3,4,5}:{(124,1),(125,1),(135,1),(175,1),(176,1)}
       152:{1,4,5}:{(125,1),(136,1),(177,1)}
       153:{3,4,6}:{(125,1),(126,1),(137,1),(177,1),(178,1)}
       154:{2,4,7}:{(126,1),(127,1),(178,1)}
       155:{1,2,4,7}:{(128,1),(129,1),(130,1),(134,1),(179,1)}
       156:{2,3,5,7}:{(129,1),(131,1),(135,1),(142,1),(179,1),(180,1)}
       157:{1,3,5,7}:{(130,1),(131,1),(136,1),(171,1),(179,1),(181,1)}
       158:{3,6}:{(131,1),(132,1)}
       159:{1,2,4,6,7}:{(132,1),(133,1),(138,1),(144,1),(173,1),(182,1),(188,1),(204,1),(207,1)}
       160:{1,2,5}:{(134,1),(135,1),(136,1)}
       161:{2,3,5,6}:{(135,1),(137,1),(145,1),(176,1),(180,1),(183,1),(184,1)}
       162:{1,3,5,6}:{(136,1),(137,1),(177,1),(181,1),(183,1),(185,1),(202,1),(205,1)}
       163:{3,5,7}:{(137,1),(138,1),(178,1),(182,1)}
       164:{2,5,7}:{(139,1),(140,1),(186,1)}
       165:{3,5,6}:{(140,1),(141,1),(143,1),(186,1)}
       166:{1,4,5,6,7}:{(141,1),(144,1),(187,1)}
       167:{2,4,6}:{(142,1),(143,1),(180,1),(186,1)}
       168:{3,4,6,7}:{(143,1),(144,1),(146,1),(182,1),(187,1),(188,1)}
       169:{2,4,5,7}:{(145,1),(146,1),(184,1),(188,1)}
       170:{2,4,5,6}:{(148,1),(189,1),(190,1)}
       171:{1,4,5,7}:{(147,1),(152,1),(157,1),(191,1),(196,1),(208,1)}
       172:{3,4,6}:{(147,1),(148,1),(158,1),(189,1),(191,1)}
       173:{2,4,6,7}:{(148,1),(149,1),(154,1),(190,1),(192,1)}
       174:{1,3,4}:{(150,1),(193,1)}
       175:{1,2,4,5}:{(150,1),(151,1),(152,1),(160,1),(193,1),(194,1)}
       176:{2,3,4,6}:{(151,1),(153,1),(161,1),(194,1),(195,1)}
       177:{1,4,6}:{(152,1),(153,1),(162,1),(196,1)}
       178:{3,4,7}:{(153,1),(154,1),(163,1),(196,1)}
       179:{1,2,5,7}:{(155,1),(156,1),(157,1),(160,1),(197,1)}
       180:{2,3,6}:{(156,1),(158,1),(167,1),(197,1)}
       181:{1,3,6}:{(157,1),(158,1),(191,1),(197,1)}
       182:{3,6,7}:{(158,1),(159,1),(163,1)}
       183:{1,2,5,6}:{(160,1),(161,1),(162,1),(194,1),(197,1),(200,1)}
       184:{2,3,5,7}:{(161,1),(163,1),(169,1),(195,1),(198,1),(200,1)}
       185:{1,3,5,7}:{(162,1),(163,1),(196,1),(199,1),(200,1),(208,1),(209,1)}
       186:{2,5,6}:{(164,1),(165,1),(167,1)}
       187:{3,5,6,7}:{(165,1),(166,1),(168,1),(201,1)}
       188:{2,4,6,7}:{(167,1),(168,1),(169,1),(198,1),(201,1)}
       189:{3,5,6}:{(170,1),(172,1),(202,1),(203,1)}
       190:{2,4,5,7}:{(170,1),(173,1),(203,1)}
       191:{1,4,6}:{(171,1),(172,1),(181,1),(202,1)}
       192:{3,4,6,7}:{(172,1),(173,1),(178,1),(182,1),(203,1),(204,1)}
       193:{1,3,5}:{(174,1),(175,1),(205,1)}
       194:{1,2,4,6}:{(175,1),(176,1),(177,1),(183,1),(205,1),(206,1)}
       195:{2,3,4,7}:{(176,1),(178,1),(184,1),(206,1)}
       196:{1,4,7}:{(177,1),(178,1),(185,1)}
       197:{1,2,6}:{(179,1),(180,1),(181,1)}
       198:{2,3,6,7}:{(180,1),(182,1),(184,1),(188,1),(207,1)}
       199:{1,3,6,7}:{(181,1),(182,1),(185,1),(204,1),(207,1)}
       200:{1,2,5,7}:{(183,1),(184,1),(185,1),(206,1),(207,1)}
       201:{2,5,6,7}:{(186,1),(187,1),(188,1)}
       202:{1,5,6}:{(189,1),(191,1),(208,1)}
       203:{3,5,7}:{(189,1),(190,1),(192,1),(208,1)}
       204:{1,4,6,7}:{(191,1),(192,1),(196,1),(199,1),(208,1)}
       205:{1,3,6}:{(193,1),(194,1),(209,1)}
       206:{1,2,4,7}:{(194,1),(195,1),(196,1),(200,1),(209,1)}
       207:{1,2,6,7}:{(197,1),(198,1),(199,1),(200,1)}
       208:{1,5,7}:{(202,1),(203,1),(204,1)}
       209:{1,3,7}:{(205,1),(206,1)}

1264 :   0:{1,2,4,5,6}:{(1,1),(2,1),(10,1),(11,1),(13,1),(40,1),(78,1),(79,1),(80,1),(81,1),(99,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(59,1),(90,1),(101,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(26,1),(27,1),(29,1),(66,1),(67,1),(68,1)}
         3:{3,4,6}:{(1,1),(9,1),(10,1),(11,1),(12,1),(44,1),(76,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(13,1),(14,1),(18,1),(44,1),(53,1),(72,1),(79,1),(95,1),(97,1),(103,1)}
         5:{2,3,5,6}:{(1,1),(11,1),(13,1),(15,1),(37,1),(44,1),(51,1),(74,1),(80,1),(85,1),(97,1),(99,1)}
         6:{3,5,7}:{(1,1),(2,1),(12,1),(16,1)}
         7:{1,2,4,6,7}:{(2,1),(16,1),(17,1),(46,1),(47,1),(49,1),(50,1),(78,1)}
         8:{1,3,4,6}:{(10,1),(18,1),(19,1),(20,1),(44,1),(53,1),(76,1),(96,1)}
         9:{3,4,5}:{(3,1),(22,1),(23,1),(59,1),(101,1)}
        10:{1,4,6}:{(3,1),(4,1),(22,1),(26,1),(86,1),(102,1)}
        11:{2,4,6}:{(3,1),(5,1),(23,1),(27,1),(69,1),(102,1)}
        12:{3,4,7}:{(3,1),(6,1),(26,1),(27,1),(64,1)}
        13:{1,2,5,6}:{(4,1),(5,1),(25,1),(29,1),(33,1),(55,1),(71,1),(88,1)}
        14:{1,3,5,7}:{(4,1),(6,1),(26,1),(29,1),(30,1),(64,1),(66,1),(92,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(27,1),(29,1),(31,1),(64,1),(67,1),(92,1)}
        16:{3,6,7}:{(6,1),(7,1),(90,1)}
        17:{1,2,5,6,7}:{(7,1),(32,1),(66,1),(67,1),(91,1)}
        18:{1,3,5}:{(8,1),(22,1),(33,1),(59,1),(101,1)}
        19:{1,2,4,6}:{(8,1),(33,1),(35,1),(36,1),(69,1),(71,1),(93,1)}
        20:{1,3,4,7}:{(8,1),(26,1),(34,1),(36,1),(64,1),(89,1)}
        21:{2,3,4,6}:{(11,1),(37,1),(38,1),(39,1),(44,1),(74,1),(76,1),(96,1)}
        22:{1,4,5}:{(9,1),(10,1),(18,1),(103,1),(104,1)}
        23:{2,4,5}:{(9,1),(11,1),(37,1),(99,1),(104,1)}
        24:{3,4,5,7}:{(9,1),(12,1),(41,1),(42,1),(43,1),(48,1),(77,1),(98,1),(104,1)}
        25:{1,2,4,6}:{(10,1),(11,1),(13,1),(40,1),(44,1),(45,1)}
        26:{1,4,7}:{(10,1),(12,1),(14,1),(98,1)}
        27:{2,4,7}:{(11,1),(12,1),(15,1),(98,1)}
        28:{3,4,6,7}:{(12,1),(16,1),(43,1),(46,1),(47,1),(48,1),(50,1),(82,1),(96,1),(98,1)}
        29:{1,2,5,7}:{(13,1),(14,1),(15,1),(45,1),(49,1)}
        30:{1,3,6,7}:{(14,1),(16,1),(46,1),(49,1),(53,1),(82,1),(95,1)}
        31:{2,3,6,7}:{(15,1),(16,1),(47,1),(49,1),(74,1),(82,1),(85,1)}
        32:{3,5,6,7}:{(16,1),(17,1),(48,1),(50,1),(97,1)}
        33:{1,2,5}:{(18,1),(19,1),(51,1),(99,1)}
        34:{1,3,5,7}:{(18,1),(20,1),(41,1),(52,1),(53,1),(77,1)}
        35:{2,3,6}:{(19,1),(44,1),(51,1),(54,1)}
        36:{1,2,4,7}:{(19,1),(20,1),(52,1),(54,1),(84,1)}
        37:{2,3,5}:{(21,1),(23,1),(55,1),(59,1),(101,1)}
        38:{1,2,4,6}:{(21,1),(55,1),(57,1),(58,1),(86,1),(88,1),(100,1)}
        39:{2,3,4,7}:{(21,1),(27,1),(56,1),(58,1),(64,1),(89,1)}
        40:{1,2,4,5}:{(22,1),(23,1),(25,1),(33,1),(55,1),(59,1),(69,1),(86,1)}
        41:{1,4,5,7}:{(22,1),(24,1),(26,1),(34,1),(61,1),(66,1)}
        42:{2,4,5,7}:{(23,1),(24,1),(27,1),(56,1),(62,1),(67,1)}
        43:{3,4,6}:{(24,1),(61,1),(62,1),(63,1),(90,1),(102,1)}
        44:{3,6}:{(25,1),(59,1),(64,1)}
        45:{1,2,4,7}:{(25,1),(26,1),(27,1),(29,1),(64,1)}
        46:{1,4,6,7}:{(26,1),(28,1),(30,1),(61,1),(66,1),(100,1)}
        47:{2,4,6,7}:{(27,1),(28,1),(31,1),(62,1),(67,1),(93,1)}
        48:{3,5,7}:{(28,1),(63,1),(66,1),(67,1),(68,1),(101,1)}
        49:{1,2,6,7}:{(29,1),(30,1),(31,1),(71,1),(88,1)}
        50:{4,6,7}:{(32,1),(68,1),(102,1)}
        51:{2,3,5}:{(33,1),(35,1),(59,1),(69,1)}
        52:{1,2,5,7}:{(33,1),(34,1),(36,1),(70,1),(71,1)}
        53:{1,3,6}:{(34,1),(61,1),(71,1),(90,1)}
        54:{2,3,7}:{(35,1),(36,1),(64,1)}
        55:{1,2,5}:{(37,1),(38,1),(72,1),(103,1)}
        56:{2,3,5,7}:{(37,1),(39,1),(42,1),(73,1),(74,1),(77,1)}
        57:{1,3,6}:{(38,1),(44,1),(72,1),(75,1)}
        58:{1,2,4,7}:{(38,1),(39,1),(73,1),(75,1),(94,1)}
        59:{3,5}:{(40,1),(44,1),(76,1)}
        60:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(45,1),(52,1),(73,1),(77,1),(78,1),(83,1),(84,1),(94,1),(98,1),(99,1),(103,1),(104,1)}
        61:{1,4,6}:{(41,1),(43,1),(53,1),(79,1)}
        62:{2,4,6}:{(42,1),(43,1),(74,1),(80,1)}
        63:{3,5,6}:{(43,1),(48,1),(79,1),(80,1),(81,1)}
        64:{3,7}:{(44,1),(45,1)}
        65:{1,2,4,6,7}:{(45,1),(46,1),(47,1),(49,1),(78,1),(82,1),(83,1),(98,1)}
        66:{1,5,7}:{(46,1),(48,1),(79,1),(103,1)}
        67:{2,5,7}:{(47,1),(48,1),(80,1),(99,1)}
        68:{4,5,7}:{(48,1),(50,1),(81,1),(98,1),(104,1)}
        69:{2,4}:{(51,1),(76,1)}
        70:{2,3,5,7}:{(51,1),(52,1),(54,1),(77,1),(84,1),(85,1),(99,1)}
        71:{1,2,6}:{(52,1),(53,1),(85,1)}
        72:{1,3,5}:{(55,1),(57,1),(59,1),(86,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(58,1),(87,1),(88,1)}
        74:{2,3,6}:{(56,1),(62,1),(88,1),(90,1)}
        75:{1,3,7}:{(57,1),(58,1),(64,1)}
        76:{3,4}:{(59,1),(69,1),(86,1)}
        77:{3,5,7}:{(59,1),(60,1),(64,1),(89,1),(90,1),(101,1)}
        78:{1,2,4,6}:{(60,1),(61,1),(62,1),(71,1),(88,1),(90,1),(91,1),(93,1),(100,1),(102,1)}
        79:{1,5,6}:{(61,1),(63,1),(66,1)}
        80:{2,5,6}:{(62,1),(63,1),(67,1)}
        81:{4,5,6}:{(63,1),(68,1),(102,1)}
        82:{3,6,7}:{(64,1),(65,1),(90,1),(92,1)}
        83:{1,2,5,7}:{(65,1),(66,1),(67,1),(91,1),(92,1)}
        84:{2,4,7}:{(69,1),(70,1),(89,1),(93,1)}
        85:{2,3,6}:{(70,1),(71,1),(90,1),(93,1)}
        86:{1,4}:{(72,1),(76,1)}
        87:{1,3,5,7}:{(72,1),(73,1),(75,1),(77,1),(94,1),(95,1),(103,1)}
        88:{1,2,6}:{(73,1),(74,1),(95,1)}
        89:{3,4,7}:{(76,1),(77,1),(84,1),(94,1),(96,1),(98,1)}
        90:{3,6}:{(77,1),(78,1)}
        91:{1,2,5,6}:{(78,1),(79,1),(80,1),(83,1),(97,1),(99,1),(103,1)}
        92:{3,5,7}:{(82,1),(83,1),(97,1),(98,1)}
        93:{2,4,6}:{(84,1),(85,1),(96,1),(99,1)}
        94:{1,4,7}:{(86,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(87,1),(88,1),(90,1),(100,1)}
        96:{3,4,6}:{(89,1),(90,1),(93,1),(100,1),(101,1),(102,1)}
        97:{3,5,6}:{(90,1),(91,1),(92,1),(101,1),(102,1)}
        98:{4,7}:{(92,1),(102,1)}
        99:{2,5}:{(93,1),(101,1)}
       100:{1,4,6}:{(94,1),(95,1),(96,1),(103,1)}
       101:{3,5}:{(96,1),(99,1),(103,1),(104,1)}
       102:{4,6}:{(97,1),(98,1),(104,1)}
       103:{1,5}:{(100,1),(101,1)}
       104:{4,5}:{(101,1),(102,1)}

1265 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(27,1),(163,1),(174,1),(208,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(64,1),(69,1),(118,1)}
         2:{3,4,5,7}:{(0,1),(10,1),(11,1),(12,1),(44,1),(144,1)}
         3:{1,4,5,6}:{(0,1),(7,1),(11,1),(183,1),(216,1)}
         4:{2,4,5,6}:{(0,1),(8,1),(12,1),(147,1),(199,1)}
         5:{2,3,4,6}:{(1,1),(8,1),(14,1),(15,1),(45,1)}
         6:{1,2,4,5}:{(1,1),(15,1),(16,1),(49,1),(84,1),(91,1)}
         7:{1,3,5,6}:{(3,1),(18,1),(19,1),(20,1),(27,1),(158,1),(205,1)}
         8:{2,3,5,6}:{(4,1),(5,1),(21,1),(22,1),(27,1),(118,1),(178,1)}
         9:{4,5,6,7}:{(23,1),(113,1),(226,1)}
        10:{3,4,6,7}:{(2,1),(23,1),(24,1),(25,1),(62,1),(113,1),(208,1)}
        11:{1,4,5,7}:{(2,1),(3,1),(19,1),(24,1)}
        12:{2,4,5,7}:{(2,1),(4,1),(21,1),(25,1)}
        13:{1,2,4,5,6}:{(3,1),(4,1),(20,1),(22,1),(26,1),(27,1),(57,1),(60,1),(106,1),(168,1),(170,1),(172,1),(174,1)}
        14:{2,3,4,7}:{(5,1),(21,1),(28,1),(63,1)}
        15:{1,2,4,6}:{(5,1),(6,1),(22,1),(28,1),(29,1),(60,1)}
        16:{1,3,5}:{(6,1),(29,1),(31,1)}
        17:{1,3,4,5}:{(18,1),(32,1),(64,1),(125,1),(158,1)}
        18:{1,3,4,6}:{(7,1),(17,1),(33,1),(34,1),(45,1)}
        19:{1,3,5,7}:{(7,1),(11,1),(33,1),(35,1),(36,1),(44,1)}
        20:{1,2,5,6}:{(7,1),(34,1),(36,1),(37,1),(130,1),(186,1)}
        21:{2,3,5,7}:{(8,1),(12,1),(14,1),(38,1),(39,1),(44,1)}
        22:{1,2,5,6}:{(8,1),(15,1),(39,1),(40,1),(91,1),(150,1)}
        23:{3,5,6,7}:{(9,1),(10,1),(41,1),(42,1),(219,1)}
        24:{1,4,6,7}:{(10,1),(11,1),(35,1),(41,1),(216,1)}
        25:{2,4,6,7}:{(10,1),(12,1),(38,1),(42,1),(199,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(36,1),(39,1),(43,1),(44,1),(80,1),(83,1),(138,1),(141,1),(144,1)}
        27:{3,5,6}:{(13,1),(44,1),(45,1),(134,1),(192,1)}
        28:{1,2,4,7}:{(14,1),(15,1),(39,1),(47,1),(83,1)}
        29:{1,3,6}:{(15,1),(16,1),(47,1)}
        30:{1,2,3,5}:{(16,1),(46,1),(49,1),(91,1),(94,1)}
        31:{1,3,4}:{(16,1),(49,1)}
        32:{1,2,4,5}:{(17,1),(34,1),(51,1),(81,1),(97,1),(130,1)}
        33:{1,3,4,7}:{(18,1),(19,1),(52,1),(63,1)}
        34:{1,2,4,6}:{(18,1),(20,1),(32,1),(52,1),(53,1),(57,1)}
        35:{1,3,6,7}:{(19,1),(24,1),(55,1),(62,1),(205,1)}
        36:{1,2,5,7}:{(19,1),(20,1),(52,1),(55,1),(56,1)}
        37:{2,3,5,6}:{(20,1),(27,1),(53,1),(56,1),(57,1),(102,1),(161,1),(170,1)}
        38:{2,3,6,7}:{(21,1),(25,1),(58,1),(62,1),(178,1)}
        39:{1,2,5,7}:{(21,1),(22,1),(28,1),(58,1),(59,1)}
        40:{1,3,5,6}:{(22,1),(27,1),(29,1),(59,1),(60,1),(68,1),(121,1),(172,1)}
        41:{1,5,6,7}:{(23,1),(24,1),(224,1)}
        42:{2,5,6,7}:{(23,1),(25,1),(214,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(55,1),(58,1),(61,1),(62,1),(107,1),(110,1),(113,1),(168,1)}
        44:{3,5,7}:{(26,1),(27,1),(62,1),(63,1)}
        45:{3,4,6}:{(27,1),(57,1),(60,1),(63,1),(64,1)}
        46:{1,2,3,6}:{(29,1),(30,1),(65,1),(66,1),(123,1)}
        47:{1,3,7}:{(28,1),(29,1)}
        48:{1,3,4,6}:{(29,1),(31,1),(60,1),(66,1),(67,1),(68,1),(103,1),(121,1)}
        49:{1,2,4}:{(30,1),(31,1),(69,1)}
        50:{1,3,4,5}:{(31,1),(68,1),(70,1),(71,1),(163,1)}
        51:{2,3,5}:{(32,1),(53,1),(73,1)}
        52:{1,2,4,7}:{(33,1),(34,1),(36,1),(75,1),(80,1)}
        53:{2,3,6}:{(34,1),(51,1),(75,1)}
        54:{1,2,3,5,6}:{(37,1),(40,1),(46,1),(74,1),(77,1),(78,1),(91,1),(130,1),(134,1),(149,1),(150,1),(185,1),(186,1),(192,1),(194,1)}
        55:{1,2,6,7}:{(35,1),(36,1),(79,1),(186,1)}
        56:{2,3,5,7}:{(36,1),(37,1),(44,1),(75,1),(79,1),(80,1),(138,1)}
        57:{2,4,6}:{(37,1),(45,1),(80,1),(81,1)}
        58:{1,2,6,7}:{(38,1),(39,1),(82,1),(150,1)}
        59:{1,3,5,7}:{(39,1),(40,1),(44,1),(47,1),(82,1),(83,1),(141,1)}
        60:{1,4,6}:{(40,1),(45,1),(83,1),(84,1)}
        61:{1,2,5,6,7}:{(41,1),(42,1),(43,1),(85,1),(138,1),(141,1),(194,1)}
        62:{3,6,7}:{(43,1),(44,1),(192,1)}
        63:{3,4,7}:{(44,1),(45,1),(80,1),(83,1)}
        64:{3,4,5}:{(45,1),(81,1),(84,1),(134,1)}
        65:{1,2,3,7}:{(46,1),(47,1),(90,1),(153,1)}
        66:{1,2,4,6}:{(46,1),(48,1),(49,1),(89,1),(90,1),(91,1),(150,1)}
        67:{1,3,4,7}:{(47,1),(48,1),(83,1),(90,1),(92,1),(133,1)}
        68:{1,3,5}:{(48,1),(84,1),(91,1),(134,1)}
        69:{2,3,4}:{(49,1),(94,1)}
        70:{1,2,4,5}:{(49,1),(50,1),(91,1),(94,1),(95,1),(147,1)}
        71:{1,3,4,6}:{(50,1),(93,1),(95,1),(96,1),(190,1)}
        72:{1,2,3,5}:{(51,1),(74,1),(97,1),(130,1),(154,1)}
        73:{2,3,4}:{(51,1),(97,1)}
        74:{1,2,3,6}:{(53,1),(72,1),(99,1),(100,1),(181,1)}
        75:{2,3,7}:{(52,1),(53,1)}
        76:{2,3,4,6}:{(53,1),(57,1),(73,1),(100,1),(101,1),(102,1),(103,1),(161,1)}
        77:{1,2,3,5,7}:{(54,1),(56,1),(59,1),(65,1),(99,1),(104,1),(105,1),(119,1),(159,1),(165,1),(167,1),(179,1),(206,1)}
        78:{1,2,4,6}:{(54,1),(57,1),(60,1),(103,1),(105,1),(106,1),(177,1),(204,1)}
        79:{2,3,6,7}:{(55,1),(56,1),(62,1),(107,1),(161,1)}
        80:{2,4,7}:{(56,1),(57,1),(63,1)}
        81:{2,4,5}:{(57,1),(64,1),(102,1)}
        82:{1,3,6,7}:{(58,1),(59,1),(62,1),(110,1),(121,1)}
        83:{1,4,7}:{(59,1),(60,1),(63,1)}
        84:{1,4,5}:{(60,1),(64,1),(68,1)}
        85:{3,5,6,7}:{(61,1),(62,1),(113,1),(114,1),(211,1)}
        86:{3,4,6,7}:{(62,1),(63,1),(107,1),(110,1),(113,1),(114,1),(115,1)}
        87:{3,4,5,7}:{(63,1),(64,1),(108,1),(111,1),(114,1),(115,1),(165,1),(210,1)}
        88:{3,4,5,6}:{(64,1),(109,1),(112,1),(115,1),(116,1),(166,1),(226,1)}
        89:{2,3,4,6}:{(66,1),(69,1),(103,1),(117,1),(118,1),(123,1),(177,1),(178,1)}
        90:{1,2,4,7}:{(65,1),(66,1),(67,1),(117,1),(119,1)}
        91:{1,2,5}:{(66,1),(68,1),(118,1)}
        92:{1,3,5,7}:{(67,1),(68,1),(111,1),(119,1),(121,1),(165,1)}
        93:{1,3,5,6}:{(68,1),(71,1),(112,1),(120,1),(121,1),(122,1),(166,1)}
        94:{2,3,5}:{(69,1),(70,1),(123,1)}
        95:{1,2,4,6}:{(70,1),(71,1),(120,1),(123,1),(124,1),(177,1)}
        96:{1,3,4,7}:{(71,1),(122,1),(124,1),(209,1)}
        97:{1,2,4}:{(72,1),(73,1),(125,1)}
        98:{2,3,4,5}:{(73,1),(102,1),(126,1),(127,1),(163,1)}
        99:{1,2,3,7}:{(74,1),(75,1),(129,1),(202,1)}
       100:{1,2,4,6}:{(74,1),(76,1),(97,1),(128,1),(129,1),(130,1),(186,1)}
       101:{2,3,4,7}:{(75,1),(76,1),(80,1),(129,1),(131,1),(133,1)}
       102:{2,3,5}:{(76,1),(81,1),(130,1),(134,1)}
       103:{3,4,6}:{(78,1),(133,1),(134,1),(192,1)}
       104:{1,2,3,6,7}:{(77,1),(79,1),(82,1),(135,1),(150,1),(186,1),(192,1),(201,1),(218,1)}
       105:{1,2,4,7}:{(77,1),(78,1),(80,1),(83,1),(133,1),(200,1),(217,1)}
       106:{1,2,4,5}:{(78,1),(81,1),(84,1),(91,1),(130,1),(134,1),(147,1),(183,1)}
       107:{2,4,6,7}:{(79,1),(80,1),(86,1),(138,1),(139,1)}
       108:{2,4,5,7}:{(80,1),(81,1),(87,1),(131,1),(138,1),(139,1)}
       109:{2,4,5,6}:{(81,1),(88,1),(132,1),(139,1),(140,1)}
       110:{1,4,6,7}:{(82,1),(83,1),(86,1),(141,1),(142,1)}
       111:{1,4,5,7}:{(83,1),(84,1),(87,1),(92,1),(141,1),(142,1)}
       112:{1,4,5,6}:{(84,1),(88,1),(93,1),(142,1),(143,1)}
       113:{4,6,7}:{(85,1),(144,1),(221,1)}
       114:{3,5,7}:{(86,1),(138,1),(141,1),(144,1),(145,1)}
       115:{3,4,6}:{(87,1),(139,1),(142,1),(145,1),(192,1),(221,1)}
       116:{3,4,5,7}:{(88,1),(140,1),(143,1),(146,1),(193,1),(230,1)}
       117:{2,3,4,7}:{(89,1),(90,1),(133,1),(148,1),(153,1),(200,1)}
       118:{2,3,5}:{(89,1),(91,1),(134,1),(147,1)}
       119:{1,2,5,7}:{(90,1),(91,1),(92,1),(148,1),(150,1)}
       120:{1,2,5,6}:{(91,1),(93,1),(95,1),(149,1),(150,1),(151,1)}
       121:{1,3,6}:{(92,1),(142,1),(150,1),(192,1)}
       122:{1,3,5,7}:{(93,1),(96,1),(143,1),(151,1),(152,1),(193,1)}
       123:{2,3,6}:{(94,1),(95,1),(153,1)}
       124:{1,2,4,7}:{(95,1),(96,1),(151,1),(153,1),(200,1)}
       125:{1,3,4}:{(97,1),(154,1)}
       126:{1,2,4,5}:{(97,1),(98,1),(130,1),(154,1),(155,1),(183,1)}
       127:{2,3,4,6}:{(98,1),(132,1),(155,1),(156,1),(190,1)}
       128:{1,3,4,6}:{(100,1),(103,1),(125,1),(157,1),(158,1),(181,1),(204,1),(205,1)}
       129:{1,2,4,7}:{(99,1),(100,1),(101,1),(157,1),(159,1)}
       130:{1,2,5}:{(100,1),(102,1),(158,1)}
       131:{2,3,5,7}:{(101,1),(102,1),(108,1),(159,1),(161,1),(165,1)}
       132:{2,3,5,6}:{(102,1),(109,1),(127,1),(160,1),(161,1),(162,1),(166,1)}
       133:{3,4,7}:{(103,1),(105,1),(165,1)}
       134:{3,5}:{(103,1),(106,1)}
       135:{1,2,4,6,7}:{(104,1),(105,1),(107,1),(110,1),(164,1),(167,1),(168,1),(215,1),(225,1)}
       136:{1,2,4,5,7}:{(105,1),(106,1),(108,1),(111,1),(119,1),(159,1),(165,1),(167,1),(168,1),(176,1),(203,1),(210,1)}
       137:{1,2,4,5,6}:{(106,1),(109,1),(112,1),(120,1),(160,1),(166,1),(168,1),(169,1),(177,1),(204,1),(214,1),(224,1),(226,1)}
       138:{2,5,7}:{(107,1),(114,1),(170,1)}
       139:{2,4,6}:{(108,1),(115,1),(161,1),(170,1)}
       140:{2,4,5,7}:{(109,1),(116,1),(162,1),(171,1)}
       141:{1,5,7}:{(110,1),(114,1),(172,1)}
       142:{1,4,6}:{(111,1),(115,1),(121,1),(172,1)}
       143:{1,4,5,7}:{(112,1),(116,1),(122,1),(173,1)}
       144:{4,5,7}:{(113,1),(114,1),(174,1)}
       145:{3,5,6}:{(114,1),(115,1),(170,1),(172,1),(174,1)}
       146:{3,4,6,7}:{(115,1),(116,1),(171,1),(173,1),(175,1),(212,1),(228,1)}
       147:{2,4,5}:{(118,1),(163,1),(177,1)}
       148:{2,3,5,7}:{(117,1),(118,1),(119,1),(165,1),(176,1),(178,1)}
       149:{2,3,5,6}:{(118,1),(120,1),(123,1),(166,1),(177,1),(178,1),(179,1),(214,1)}
       150:{1,2,6}:{(119,1),(121,1),(178,1)}
       151:{1,2,5,7}:{(120,1),(122,1),(124,1),(179,1),(180,1)}
       152:{1,3,6,7}:{(121,1),(122,1),(173,1),(180,1),(212,1)}
       153:{2,3,7}:{(123,1),(124,1)}
       154:{1,3,5}:{(125,1),(126,1),(181,1)}
       155:{1,2,4,6}:{(126,1),(127,1),(160,1),(181,1),(182,1),(204,1)}
       156:{2,3,4,7}:{(127,1),(162,1),(182,1),(209,1)}
       157:{1,3,4,7}:{(128,1),(129,1),(133,1),(184,1),(202,1),(217,1)}
       158:{1,3,5}:{(128,1),(130,1),(134,1),(183,1)}
       159:{1,2,5,7}:{(129,1),(130,1),(131,1),(184,1),(186,1)}
       160:{1,2,5,6}:{(130,1),(132,1),(155,1),(185,1),(186,1),(187,1)}
       161:{2,3,6}:{(131,1),(139,1),(186,1),(192,1)}
       162:{2,3,5,7}:{(132,1),(140,1),(156,1),(187,1),(188,1),(193,1)}
       163:{3,4,5}:{(134,1),(147,1),(183,1),(190,1)}
       164:{3,4,6,7}:{(133,1),(135,1),(191,1),(192,1),(221,1)}
       165:{3,5,7}:{(133,1),(134,1),(136,1),(192,1)}
       166:{3,5,6}:{(134,1),(137,1),(190,1),(192,1),(193,1)}
       167:{1,2,5,7}:{(135,1),(138,1),(141,1),(191,1),(194,1),(223,1),(229,1)}
       168:{1,2,4,6}:{(136,1),(139,1),(142,1),(150,1),(186,1),(192,1),(194,1),(199,1),(216,1),(221,1)}
       169:{1,2,4,5,7}:{(137,1),(140,1),(143,1),(151,1),(187,1),(193,1),(195,1),(200,1),(217,1),(223,1),(229,1),(230,1)}
       170:{2,5,6}:{(138,1),(139,1),(145,1)}
       171:{2,4,6,7}:{(139,1),(140,1),(146,1),(188,1),(196,1)}
       172:{1,5,6}:{(141,1),(142,1),(145,1)}
       173:{1,4,6,7}:{(142,1),(143,1),(146,1),(152,1),(197,1)}
       174:{4,5,6}:{(144,1),(145,1),(221,1)}
       175:{3,5,6,7}:{(145,1),(146,1),(196,1),(197,1),(198,1)}
       176:{2,4,5,7}:{(147,1),(148,1),(189,1),(199,1),(200,1),(223,1)}
       177:{2,4,6}:{(147,1),(149,1),(190,1),(200,1)}
       178:{2,3,6}:{(148,1),(150,1),(192,1),(199,1)}
       179:{2,3,5,7}:{(149,1),(151,1),(153,1),(193,1),(200,1),(201,1),(223,1)}
       180:{1,2,6,7}:{(150,1),(151,1),(152,1),(201,1)}
       181:{1,3,6}:{(154,1),(155,1),(202,1)}
       182:{1,2,4,7}:{(155,1),(156,1),(187,1),(202,1),(217,1)}
       183:{1,4,5}:{(158,1),(163,1),(204,1)}
       184:{1,3,5,7}:{(157,1),(158,1),(159,1),(165,1),(203,1),(205,1)}
       185:{1,3,5,6}:{(158,1),(160,1),(166,1),(181,1),(204,1),(205,1),(206,1),(224,1)}
       186:{1,2,6}:{(159,1),(161,1),(205,1)}
       187:{1,2,5,7}:{(160,1),(162,1),(182,1),(206,1),(207,1)}
       188:{2,3,6,7}:{(161,1),(162,1),(171,1),(207,1),(212,1)}
       189:{3,4,5,7}:{(163,1),(165,1),(176,1),(203,1),(208,1),(209,1),(210,1),(227,1)}
       190:{3,4,6}:{(163,1),(166,1),(177,1),(204,1),(209,1)}
       191:{3,5,7}:{(164,1),(167,1),(210,1),(211,1)}
       192:{3,6}:{(165,1),(168,1)}
       193:{3,5,7}:{(166,1),(169,1),(209,1),(212,1)}
       194:{1,2,5,6}:{(167,1),(168,1),(170,1),(172,1),(211,1),(214,1),(224,1)}
       195:{1,2,4,6,7}:{(168,1),(169,1),(171,1),(173,1),(180,1),(207,1),(212,1),(213,1),(215,1),(225,1),(228,1)}
       196:{2,5,6,7}:{(170,1),(171,1),(175,1)}
       197:{1,5,6,7}:{(172,1),(173,1),(175,1)}
       198:{4,5,6,7}:{(174,1),(175,1),(228,1)}
       199:{2,4,6}:{(176,1),(178,1),(208,1),(214,1)}
       200:{2,4,7}:{(177,1),(179,1),(209,1)}
       201:{2,3,6,7}:{(178,1),(179,1),(180,1),(212,1),(215,1)}
       202:{1,3,7}:{(181,1),(182,1)}
       203:{1,4,5,7}:{(183,1),(184,1),(189,1),(216,1),(217,1),(229,1)}
       204:{1,4,6}:{(183,1),(185,1),(190,1),(217,1)}
       205:{1,3,6}:{(184,1),(186,1),(192,1),(216,1)}
       206:{1,3,5,7}:{(185,1),(187,1),(193,1),(202,1),(217,1),(218,1),(229,1)}
       207:{1,2,6,7}:{(186,1),(187,1),(188,1),(218,1)}
       208:{3,4,6}:{(189,1),(192,1),(199,1),(216,1),(219,1),(221,1)}
       209:{3,4,7}:{(190,1),(193,1),(200,1),(217,1)}
       210:{4,5,7}:{(191,1),(221,1)}
       211:{3,5,6}:{(191,1),(192,1),(194,1),(221,1)}
       212:{3,6,7}:{(192,1),(193,1),(195,1)}
       213:{1,2,5,6,7}:{(194,1),(195,1),(196,1),(197,1),(222,1),(223,1),(229,1)}
       214:{2,5,6}:{(199,1),(219,1),(223,1)}
       215:{2,4,6,7}:{(199,1),(200,1),(201,1),(220,1),(223,1)}
       216:{1,4,6}:{(203,1),(205,1),(208,1),(224,1)}
       217:{1,4,7}:{(204,1),(206,1),(209,1)}
       218:{1,3,6,7}:{(205,1),(206,1),(207,1),(212,1),(225,1)}
       219:{3,5,6}:{(208,1),(214,1),(224,1),(226,1),(227,1)}
       220:{3,4,6,7}:{(208,1),(209,1),(212,1),(215,1),(225,1),(227,1),(228,1)}
       221:{4,6}:{(210,1),(211,1)}
       222:{3,5,6,7}:{(211,1),(212,1),(213,1),(227,1),(228,1)}
       223:{2,5,7}:{(214,1),(215,1),(227,1)}
       224:{1,5,6}:{(216,1),(219,1),(229,1)}
       225:{1,4,6,7}:{(216,1),(217,1),(218,1),(220,1),(229,1)}
       226:{4,5,6}:{(219,1),(221,1),(230,1)}
       227:{3,5,7}:{(219,1),(220,1),(223,1),(229,1),(230,1)}
       228:{4,6,7}:{(221,1),(222,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(227,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

1266 :   0:{2,4,5,6,7}:{(1,1),(9,1),(195,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(202,1)}
         2:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(32,1),(193,1)}
         3:{1,5,6,7}:{(1,1),(8,1),(206,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(28,1),(32,1),(163,1)}
         5:{3,4,5,6}:{(7,1),(11,1),(12,1),(37,1),(168,1),(193,1)}
         6:{2,3,4,5,7}:{(13,1),(14,1),(28,1),(62,1),(72,1),(75,1),(107,1),(122,1),(158,1),(162,1)}
         7:{3,4,5,7}:{(2,1),(5,1),(15,1),(16,1),(45,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(200,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(181,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(19,1),(20,1),(44,1),(86,1),(138,1)}
        11:{1,4,5,6}:{(5,1),(15,1),(21,1),(183,1),(200,1)}
        12:{2,4,5,6}:{(5,1),(16,1),(22,1),(148,1),(181,1)}
        13:{2,3,4,6}:{(6,1),(22,1),(24,1),(53,1),(134,1),(179,1),(181,1)}
        14:{1,2,4,5,7}:{(6,1),(24,1),(25,1),(44,1),(56,1),(83,1),(94,1),(97,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(11,1),(27,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(12,1),(28,1)}
        17:{1,3,6,7}:{(8,1),(27,1),(30,1),(32,1),(191,1)}
        18:{2,3,4,6,7}:{(9,1),(13,1),(28,1),(31,1),(32,1),(62,1),(64,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(29,1),(30,1),(32,1),(33,1),(64,1),(159,1)}
        20:{1,3,5,6,7}:{(10,1),(32,1),(33,1),(61,1),(66,1),(113,1)}
        21:{1,3,5,6}:{(11,1),(27,1),(34,1),(35,1),(37,1),(165,1),(191,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(28,1),(36,1),(37,1),(112,1),(122,1)}
        23:{1,2,4,5,6}:{(11,1),(12,1),(29,1),(35,1),(36,1),(37,1),(67,1),(70,1),(71,1),(112,1),(118,1),(159,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(36,1),(38,1),(71,1)}
        25:{1,3,5,7}:{(14,1),(38,1),(40,1),(74,1),(158,1)}
        26:{1,3,4,5}:{(34,1),(41,1),(72,1),(127,1),(165,1)}
        27:{1,3,5,7}:{(15,1),(17,1),(21,1),(42,1),(43,1),(45,1)}
        28:{2,3,5,7}:{(16,1),(18,1),(22,1),(44,1),(45,1),(86,1)}
        29:{1,2,4,5,7}:{(15,1),(16,1),(19,1),(23,1),(43,1),(44,1),(45,1),(49,1),(82,1),(83,1),(86,1)}
        30:{1,2,6,7}:{(17,1),(43,1),(46,1),(176,1)}
        31:{1,2,4,6,7}:{(18,1),(24,1),(44,1),(47,1),(83,1)}
        32:{3,6,7}:{(19,1),(45,1),(179,1)}
        33:{1,4,6,7}:{(20,1),(48,1),(49,1),(83,1),(135,1)}
        34:{1,3,4,6}:{(21,1),(26,1),(42,1),(50,1),(53,1)}
        35:{1,2,5,6}:{(21,1),(43,1),(50,1),(51,1),(142,1),(176,1)}
        36:{1,2,5,6}:{(22,1),(24,1),(44,1),(52,1),(97,1)}
        37:{3,5,6}:{(23,1),(45,1),(53,1),(144,1),(179,1)}
        38:{1,3,6}:{(24,1),(25,1),(179,1)}
        39:{1,2,3,5,7}:{(25,1),(54,1),(56,1),(97,1),(99,1)}
        40:{1,3,4,7}:{(25,1),(55,1),(56,1),(83,1),(132,1)}
        41:{1,2,4,5}:{(26,1),(50,1),(58,1),(93,1),(102,1),(142,1)}
        42:{1,3,4,7}:{(27,1),(34,1),(59,1),(62,1)}
        43:{1,2,5,7}:{(27,1),(30,1),(35,1),(59,1),(60,1)}
        44:{1,2,5,7}:{(28,1),(31,1),(36,1),(61,1)}
        45:{3,5,7}:{(29,1),(32,1),(37,1),(62,1)}
        46:{2,3,6,7}:{(30,1),(32,1),(60,1),(64,1),(157,1)}
        47:{1,3,6,7}:{(31,1),(32,1),(38,1),(61,1)}
        48:{3,4,6,7}:{(32,1),(33,1),(62,1),(64,1),(66,1),(109,1)}
        49:{1,4,5,7}:{(33,1),(66,1),(67,1)}
        50:{1,2,4,6}:{(34,1),(35,1),(41,1),(59,1),(68,1),(70,1)}
        51:{2,3,5,6}:{(35,1),(37,1),(60,1),(68,1),(70,1),(112,1),(116,1),(157,1)}
        52:{1,3,5,6}:{(36,1),(37,1),(38,1),(61,1),(71,1),(74,1)}
        53:{3,4,6}:{(37,1),(62,1),(70,1),(71,1),(72,1)}
        54:{1,2,3,6}:{(38,1),(39,1),(73,1),(125,1)}
        55:{1,3,4,6}:{(38,1),(40,1),(71,1),(73,1),(74,1),(117,1)}
        56:{1,2,4,7}:{(39,1),(40,1),(73,1),(75,1)}
        57:{1,3,4,5,7}:{(40,1),(74,1),(76,1),(77,1),(108,1),(124,1),(158,1),(168,1),(190,1),(199,1)}
        58:{2,3,5}:{(41,1),(68,1),(79,1)}
        59:{1,2,4,7}:{(42,1),(43,1),(50,1),(80,1),(82,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(46,1),(51,1),(80,1),(82,1),(86,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(47,1),(52,1),(83,1)}
        62:{3,4,7}:{(45,1),(53,1),(82,1),(83,1)}
        63:{1,2,3,6,7}:{(46,1),(47,1),(54,1),(81,1),(85,1),(151,1),(176,1),(179,1),(201,1)}
        64:{2,4,6,7}:{(46,1),(48,1),(82,1),(86,1),(134,1)}
        65:{1,3,4,6,7}:{(47,1),(48,1),(55,1),(83,1),(85,1),(87,1),(132,1),(135,1),(179,1)}
        66:{3,5,7}:{(48,1),(49,1),(86,1),(88,1)}
        67:{1,4,5,6}:{(49,1),(88,1),(135,1)}
        68:{2,3,6}:{(50,1),(58,1),(80,1)}
        69:{1,2,3,5,6}:{(51,1),(52,1),(54,1),(81,1),(90,1),(92,1),(97,1),(138,1),(142,1),(144,1),(149,1),(176,1),(179,1),(184,1)}
        70:{2,4,6}:{(51,1),(53,1),(82,1),(93,1)}
        71:{1,4,6}:{(52,1),(53,1),(83,1),(94,1)}
        72:{3,4,5}:{(53,1),(93,1),(94,1),(144,1)}
        73:{1,2,4,6}:{(54,1),(55,1),(56,1),(96,1),(97,1)}
        74:{1,3,5}:{(55,1),(94,1),(97,1),(144,1)}
        75:{2,3,4,7}:{(56,1),(96,1),(99,1),(132,1),(188,1)}
        76:{1,2,4,5,7}:{(56,1),(57,1),(97,1),(99,1),(100,1),(148,1),(150,1),(188,1)}
        77:{1,3,4,6}:{(57,1),(98,1),(100,1),(135,1),(179,1),(186,1),(200,1)}
        78:{1,2,3,5}:{(58,1),(90,1),(102,1),(142,1),(152,1)}
        79:{2,3,4}:{(58,1),(102,1)}
        80:{2,3,7}:{(59,1),(68,1)}
        81:{1,2,3,5,7}:{(60,1),(61,1),(63,1),(69,1),(104,1),(106,1),(111,1),(156,1),(158,1),(172,1),(198,1)}
        82:{2,4,7}:{(60,1),(62,1),(70,1)}
        83:{1,4,7}:{(61,1),(62,1),(71,1)}
        84:{3,4,5,7}:{(62,1),(66,1),(72,1),(107,1),(108,1),(109,1),(158,1)}
        85:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(73,1),(106,1),(110,1),(111,1),(159,1),(207,1)}
        86:{2,5,7}:{(64,1),(66,1),(112,1)}
        87:{1,3,5,7}:{(65,1),(66,1),(74,1),(108,1),(111,1),(113,1),(158,1)}
        88:{3,5,6}:{(66,1),(67,1),(109,1),(112,1)}
        89:{1,4,5,6,7}:{(67,1),(114,1),(161,1)}
        90:{1,2,3,6}:{(68,1),(78,1),(104,1),(115,1),(173,1)}
        91:{2,3,4,6}:{(68,1),(70,1),(79,1),(105,1),(115,1),(116,1),(117,1),(157,1)}
        92:{1,2,4,6}:{(69,1),(70,1),(71,1),(106,1),(117,1),(118,1),(171,1),(197,1)}
        93:{2,4,5}:{(70,1),(72,1),(116,1)}
        94:{1,4,5}:{(71,1),(72,1),(74,1)}
        95:{3,4,5,6}:{(72,1),(109,1),(119,1),(120,1),(121,1),(169,1)}
        96:{2,3,4,6}:{(73,1),(75,1),(117,1),(122,1),(125,1),(171,1)}
        97:{1,2,5}:{(73,1),(74,1),(122,1)}
        98:{1,3,5,6}:{(74,1),(77,1),(120,1),(123,1),(124,1),(169,1),(206,1)}
        99:{2,3,5,7}:{(75,1),(76,1),(122,1),(125,1),(158,1)}
       100:{1,2,4,6}:{(76,1),(77,1),(123,1),(125,1),(171,1)}
       101:{1,3,4,6,7}:{(77,1),(124,1),(126,1),(161,1),(194,1),(199,1),(207,1)}
       102:{1,2,4}:{(78,1),(79,1),(127,1)}
       103:{2,3,4,5}:{(79,1),(116,1),(128,1),(129,1),(168,1)}
       104:{1,2,3,7}:{(80,1),(90,1),(130,1),(189,1)}
       105:{2,3,4,7}:{(80,1),(82,1),(91,1),(130,1),(131,1),(132,1)}
       106:{1,2,4,7}:{(81,1),(82,1),(83,1),(92,1),(132,1),(188,1),(205,1)}
       107:{2,4,5,7}:{(82,1),(84,1),(86,1),(93,1),(131,1),(134,1)}
       108:{1,4,5,7}:{(83,1),(84,1),(87,1),(94,1),(135,1)}
       109:{3,4,6}:{(84,1),(88,1),(134,1),(135,1),(179,1)}
       110:{2,3,4,6,7}:{(85,1),(96,1),(132,1),(137,1),(151,1),(179,1),(181,1),(188,1),(203,1)}
       111:{1,2,5,7}:{(85,1),(86,1),(87,1),(97,1),(137,1),(138,1),(209,1)}
       112:{2,5,6}:{(86,1),(88,1),(134,1)}
       113:{1,3,5,6}:{(87,1),(88,1),(135,1),(138,1),(179,1)}
       114:{3,5,6,7}:{(88,1),(89,1),(136,1),(139,1)}
       115:{1,2,4,6}:{(90,1),(91,1),(102,1),(130,1),(141,1),(142,1),(176,1)}
       116:{2,3,5}:{(91,1),(93,1),(142,1),(144,1)}
       117:{3,4,6}:{(92,1),(132,1),(144,1),(179,1)}
       118:{1,2,4,5}:{(92,1),(93,1),(94,1),(97,1),(142,1),(144,1),(148,1),(183,1)}
       119:{2,4,5,6}:{(93,1),(95,1),(134,1),(143,1),(146,1)}
       120:{1,4,5,6}:{(94,1),(95,1),(98,1),(135,1),(147,1)}
       121:{3,4,5,7}:{(95,1),(136,1),(146,1),(147,1),(187,1)}
       122:{2,3,5}:{(96,1),(97,1),(144,1),(148,1)}
       123:{1,2,5,6}:{(97,1),(98,1),(100,1),(149,1),(150,1)}
       124:{1,3,5,7}:{(98,1),(101,1),(147,1),(150,1),(187,1),(209,1)}
       125:{2,3,6}:{(99,1),(100,1),(179,1)}
       126:{1,2,4,6,7}:{(100,1),(101,1),(150,1),(151,1),(188,1)}
       127:{1,3,4}:{(102,1),(152,1)}
       128:{1,2,4,5}:{(102,1),(103,1),(142,1),(152,1),(153,1),(183,1)}
       129:{2,3,4,6}:{(103,1),(143,1),(153,1),(154,1),(186,1)}
       130:{1,2,4,7}:{(104,1),(105,1),(115,1),(155,1),(156,1)}
       131:{2,3,5,7}:{(105,1),(107,1),(116,1),(156,1),(157,1),(158,1)}
       132:{3,4,7}:{(106,1),(117,1),(158,1)}
       133:{1,2,4,5,7}:{(106,1),(107,1),(108,1),(111,1),(118,1),(156,1),(158,1),(159,1),(162,1),(190,1)}
       134:{2,4,6}:{(107,1),(109,1),(112,1),(157,1)}
       135:{1,4,6}:{(108,1),(109,1),(113,1)}
       136:{3,4,6,7}:{(109,1),(114,1),(121,1),(160,1),(161,1),(194,1)}
       137:{2,3,5,7}:{(110,1),(111,1),(122,1),(158,1),(162,1),(163,1),(208,1)}
       138:{1,2,5,6}:{(111,1),(112,1),(113,1),(159,1),(163,1),(206,1)}
       139:{2,5,6,7}:{(112,1),(114,1),(160,1)}
       140:{1,3,5,6,7}:{(113,1),(114,1),(124,1),(161,1),(164,1),(194,1)}
       141:{1,3,4,6}:{(115,1),(117,1),(127,1),(155,1),(165,1),(173,1),(191,1),(197,1)}
       142:{1,2,5}:{(115,1),(116,1),(165,1)}
       143:{2,3,5,6}:{(116,1),(119,1),(129,1),(157,1),(166,1),(167,1),(169,1)}
       144:{3,5}:{(117,1),(118,1)}
       145:{1,2,4,5,6}:{(118,1),(119,1),(120,1),(123,1),(159,1),(166,1),(169,1),(170,1),(171,1),(195,1),(197,1),(206,1)}
       146:{2,4,5,7}:{(119,1),(121,1),(160,1),(167,1)}
       147:{1,4,5,7}:{(120,1),(121,1),(124,1),(161,1)}
       148:{2,4,5}:{(122,1),(168,1),(171,1)}
       149:{2,3,5,6}:{(122,1),(123,1),(125,1),(169,1),(171,1),(172,1)}
       150:{1,2,5,7}:{(123,1),(124,1),(126,1),(172,1)}
       151:{2,3,6,7}:{(125,1),(126,1),(172,1),(194,1)}
       152:{1,3,5}:{(127,1),(128,1),(173,1)}
       153:{1,2,4,6}:{(128,1),(129,1),(166,1),(173,1),(174,1),(197,1)}
       154:{2,3,4,7}:{(129,1),(167,1),(174,1),(199,1)}
       155:{1,3,4,7}:{(130,1),(132,1),(141,1),(175,1),(189,1),(205,1)}
       156:{1,2,5,7}:{(130,1),(131,1),(142,1),(175,1),(176,1)}
       157:{2,3,6}:{(131,1),(134,1),(176,1),(179,1)}
       158:{3,5,7}:{(132,1),(133,1),(144,1),(179,1)}
       159:{1,2,4,6}:{(133,1),(134,1),(135,1),(138,1),(176,1),(179,1),(181,1),(200,1)}
       160:{2,4,6,7}:{(134,1),(136,1),(139,1),(146,1),(177,1)}
       161:{1,4,6,7}:{(135,1),(136,1),(140,1),(147,1)}
       162:{2,4,5,7}:{(137,1),(148,1),(178,1),(181,1),(188,1)}
       163:{2,3,5,6}:{(137,1),(138,1),(179,1),(181,1),(202,1)}
       164:{1,2,5,6,7}:{(138,1),(139,1),(140,1),(150,1),(180,1),(182,1),(209,1)}
       165:{1,3,5}:{(141,1),(142,1),(144,1),(183,1)}
       166:{1,2,5,6}:{(142,1),(143,1),(153,1),(176,1),(184,1),(185,1)}
       167:{2,3,5,7}:{(143,1),(146,1),(154,1),(177,1),(185,1),(187,1)}
       168:{3,4,5}:{(144,1),(148,1),(183,1),(186,1)}
       169:{3,5,6}:{(144,1),(145,1),(179,1),(186,1),(187,1)}
       170:{1,2,4,5,7}:{(145,1),(146,1),(147,1),(150,1),(180,1),(185,1),(187,1),(188,1),(204,1),(205,1),(209,1)}
       171:{2,4,6}:{(148,1),(149,1),(186,1),(188,1)}
       172:{2,3,5,7}:{(149,1),(150,1),(151,1),(187,1),(188,1)}
       173:{1,3,6}:{(152,1),(153,1),(189,1)}
       174:{1,2,4,7}:{(153,1),(154,1),(185,1),(189,1),(205,1)}
       175:{1,3,5,7}:{(155,1),(156,1),(158,1),(165,1),(190,1),(191,1)}
       176:{1,2,6}:{(156,1),(157,1),(191,1)}
       177:{2,3,6,7}:{(157,1),(160,1),(167,1),(192,1),(194,1)}
       178:{3,4,5,7}:{(158,1),(162,1),(168,1),(190,1),(193,1),(199,1),(208,1)}
       179:{3,6}:{(158,1),(159,1)}
       180:{1,2,4,6,7}:{(159,1),(160,1),(161,1),(164,1),(170,1),(192,1),(194,1),(196,1),(207,1)}
       181:{2,4,6}:{(162,1),(163,1),(193,1)}
       182:{2,3,5,6,7}:{(163,1),(164,1),(172,1),(194,1),(196,1),(208,1)}
       183:{1,4,5}:{(165,1),(168,1),(197,1)}
       184:{1,3,5,6}:{(165,1),(166,1),(169,1),(173,1),(191,1),(197,1),(198,1),(206,1)}
       185:{1,2,5,7}:{(166,1),(167,1),(174,1),(192,1),(198,1)}
       186:{3,4,6}:{(168,1),(169,1),(171,1),(197,1),(199,1)}
       187:{3,5,7}:{(169,1),(170,1),(194,1),(199,1)}
       188:{2,4,7}:{(171,1),(172,1),(199,1)}
       189:{1,3,7}:{(173,1),(174,1)}
       190:{1,4,5,7}:{(175,1),(178,1),(183,1),(200,1),(205,1),(209,1)}
       191:{1,3,6}:{(175,1),(176,1),(179,1),(200,1)}
       192:{1,2,6,7}:{(176,1),(177,1),(185,1),(201,1)}
       193:{3,4,6}:{(178,1),(179,1),(181,1),(200,1),(202,1)}
       194:{3,6,7}:{(179,1),(180,1),(187,1)}
       195:{2,4,5,6}:{(181,1),(202,1),(204,1)}
       196:{2,4,6,7}:{(181,1),(182,1),(188,1),(203,1),(204,1)}
       197:{1,4,6}:{(183,1),(184,1),(186,1),(205,1)}
       198:{1,3,5,7}:{(184,1),(185,1),(187,1),(189,1),(201,1),(205,1),(209,1)}
       199:{3,4,7}:{(186,1),(187,1),(188,1),(205,1)}
       200:{1,4,6}:{(190,1),(191,1),(193,1),(206,1)}
       201:{1,3,6,7}:{(191,1),(192,1),(194,1),(198,1),(207,1)}
       202:{3,5,6}:{(193,1),(195,1),(206,1),(208,1)}
       203:{3,4,6,7}:{(193,1),(194,1),(196,1),(199,1),(207,1),(208,1)}
       204:{2,4,5,7}:{(195,1),(196,1),(208,1)}
       205:{1,4,7}:{(197,1),(198,1),(199,1)}
       206:{1,5,6}:{(200,1),(202,1),(209,1)}
       207:{1,4,6,7}:{(200,1),(201,1),(203,1),(205,1),(209,1)}
       208:{3,5,7}:{(202,1),(203,1),(204,1),(209,1)}
       209:{1,5,7}:{(206,1),(207,1),(208,1)}

1267 :   0:{2,3,4,5,7}:{(1,1),(2,1),(8,1),(34,1),(72,1),(76,1),(83,1),(119,1),(122,1),(127,1)}
         1:{1,2,4,5,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(50,1),(56,1),(60,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(61,1),(145,1),(148,1),(153,1)}
         3:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(27,1),(65,1),(72,1),(116,1)}
         4:{1,3,5,7}:{(1,1),(10,1),(11,1),(39,1),(122,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(40,1)}
         6:{2,3,5,6}:{(2,1),(8,1),(12,1),(13,1),(41,1),(76,1),(167,1)}
         7:{1,2,4,6,7}:{(3,1),(5,1),(16,1),(17,1),(50,1)}
         8:{2,3,5,7}:{(3,1),(6,1),(17,1),(18,1),(51,1),(143,1)}
         9:{1,2,3,5,7}:{(4,1),(19,1),(20,1),(53,1),(56,1)}
        10:{1,3,4,7}:{(4,1),(19,1),(22,1),(50,1),(94,1)}
        11:{1,3,6}:{(4,1),(5,1),(148,1)}
        12:{1,2,5,6}:{(5,1),(6,1),(17,1),(23,1),(56,1)}
        13:{2,4,5,6}:{(6,1),(18,1),(25,1),(103,1),(145,1)}
        14:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(28,1),(65,1),(118,1)}
        15:{2,4,5,6,7}:{(27,1),(28,1),(168,1)}
        16:{1,3,6,7}:{(7,1),(11,1),(31,1),(65,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(12,1),(31,1)}
        18:{2,4,5,7}:{(8,1),(13,1),(27,1),(33,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(34,1),(36,1)}
        20:{1,2,3,6}:{(9,1),(11,1),(36,1),(75,1)}
        21:{1,3,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(71,1),(81,1),(122,1),(131,1),(171,1),(178,1)}
        22:{1,3,4,6}:{(10,1),(11,1),(36,1),(39,1),(40,1),(80,1)}
        23:{1,3,5,6}:{(11,1),(12,1),(31,1),(39,1),(40,1),(41,1)}
        24:{1,2,4,5,6}:{(12,1),(13,1),(32,1),(40,1),(41,1),(42,1),(79,1),(85,1),(86,1),(114,1),(121,1),(167,1)}
        25:{3,4,5,6}:{(13,1),(33,1),(41,1),(42,1),(131,1),(170,1)}
        26:{1,2,5,6,7}:{(14,1),(17,1),(43,1),(44,1),(46,1),(92,1),(143,1)}
        27:{2,4,6,7}:{(14,1),(18,1),(45,1),(145,1)}
        28:{3,5,6,7}:{(15,1),(45,1),(46,1),(189,1)}
        29:{1,2,3,6,7}:{(16,1),(20,1),(47,1),(48,1),(90,1),(101,1),(148,1),(192,1),(194,1)}
        30:{1,3,4,6,7}:{(16,1),(22,1),(47,1),(49,1),(50,1),(88,1),(94,1),(96,1),(148,1)}
        31:{1,3,5,7}:{(16,1),(17,1),(23,1),(50,1),(51,1)}
        32:{1,2,4,5,7}:{(17,1),(18,1),(24,1),(44,1),(50,1),(51,1),(52,1),(87,1),(99,1),(100,1),(143,1)}
        33:{3,4,5,7}:{(18,1),(25,1),(45,1),(51,1),(52,1)}
        34:{2,3,4,7}:{(19,1),(53,1),(54,1),(94,1),(155,1)}
        35:{1,2,4,5,7}:{(19,1),(21,1),(53,1),(55,1),(56,1),(103,1),(104,1),(155,1)}
        36:{1,2,4,6}:{(19,1),(20,1),(22,1),(54,1),(56,1)}
        37:{1,2,3,5,6}:{(20,1),(23,1),(48,1),(56,1),(57,1),(63,1),(92,1),(102,1),(106,1),(148,1),(160,1),(162,1),(163,1),(194,1)}
        38:{1,3,4,6}:{(21,1),(55,1),(59,1),(96,1),(148,1),(156,1),(191,1)}
        39:{1,3,5}:{(22,1),(56,1),(60,1),(106,1)}
        40:{1,4,6}:{(23,1),(50,1),(60,1),(61,1)}
        41:{3,5,6}:{(24,1),(51,1),(61,1),(106,1),(148,1)}
        42:{1,4,5,6}:{(25,1),(52,1),(62,1),(157,1),(191,1)}
        43:{1,3,5,6,7}:{(26,1),(31,1),(64,1),(65,1),(70,1),(115,1)}
        44:{1,2,4,6,7}:{(26,1),(27,1),(32,1),(64,1),(65,1),(66,1),(116,1),(117,1),(121,1)}
        45:{3,4,6,7}:{(27,1),(28,1),(33,1),(65,1),(66,1),(170,1)}
        46:{1,5,6,7}:{(28,1),(66,1),(202,1)}
        47:{1,2,4,6,7}:{(29,1),(30,1),(36,1),(67,1),(68,1),(69,1),(116,1),(121,1),(203,1)}
        48:{1,2,3,5,7}:{(29,1),(31,1),(37,1),(68,1),(69,1),(74,1),(122,1),(129,1),(175,1),(176,1),(182,1)}
        49:{1,3,5,7}:{(30,1),(39,1),(68,1),(70,1),(71,1),(115,1),(122,1)}
        50:{1,4,7}:{(31,1),(40,1),(72,1)}
        51:{3,5,7}:{(32,1),(41,1),(65,1),(72,1)}
        52:{1,4,5,7}:{(33,1),(42,1),(66,1),(73,1)}
        53:{2,3,5,7}:{(34,1),(35,1),(75,1),(76,1),(122,1)}
        54:{2,3,4,6}:{(34,1),(36,1),(75,1),(76,1),(80,1),(130,1)}
        55:{1,2,4,6}:{(35,1),(38,1),(75,1),(78,1),(130,1)}
        56:{1,2,5}:{(36,1),(39,1),(76,1)}
        57:{1,2,4,6}:{(37,1),(40,1),(69,1),(79,1),(80,1),(85,1),(130,1),(179,1)}
        58:{1,3,4,6,7}:{(38,1),(77,1),(81,1),(125,1),(172,1),(178,1),(203,1)}
        59:{1,3,5,6}:{(38,1),(39,1),(78,1),(81,1),(82,1),(133,1),(202,1)}
        60:{1,4,5}:{(39,1),(40,1),(83,1)}
        61:{3,4,6}:{(40,1),(41,1),(72,1),(83,1),(85,1)}
        62:{1,3,5,6}:{(41,1),(42,1),(73,1),(84,1),(86,1),(134,1),(173,1)}
        63:{2,3,5,6}:{(41,1),(74,1),(85,1),(86,1),(135,1),(140,1),(167,1),(174,1)}
        64:{1,4,6,7}:{(43,1),(50,1),(87,1),(88,1),(96,1)}
        65:{3,6,7}:{(44,1),(51,1),(148,1)}
        66:{1,4,6,7}:{(45,1),(46,1),(52,1),(89,1),(191,1)}
        67:{2,3,4,6,7}:{(47,1),(54,1),(91,1),(94,1),(101,1),(145,1),(148,1),(155,1),(190,1)}
        68:{1,2,5,7}:{(47,1),(49,1),(56,1),(91,1),(92,1),(143,1),(208,1)}
        69:{1,2,4,7}:{(48,1),(50,1),(57,1),(94,1),(99,1),(155,1),(195,1)}
        70:{1,3,5,6}:{(49,1),(92,1),(96,1),(142,1),(148,1)}
        71:{1,4,5,7}:{(49,1),(50,1),(60,1),(96,1),(97,1)}
        72:{3,4,7}:{(50,1),(51,1),(61,1),(99,1)}
        73:{1,3,5,7}:{(51,1),(52,1),(62,1),(89,1),(98,1),(100,1)}
        74:{2,3,5,7}:{(51,1),(63,1),(90,1),(99,1),(100,1),(143,1),(154,1)}
        75:{2,3,6}:{(53,1),(55,1),(148,1)}
        76:{2,3,5}:{(54,1),(56,1),(103,1),(106,1)}
        77:{1,2,4,6,7}:{(55,1),(58,1),(101,1),(104,1),(155,1)}
        78:{1,2,5,6}:{(55,1),(56,1),(59,1),(102,1),(104,1)}
        79:{1,2,4,5}:{(56,1),(57,1),(60,1),(103,1),(106,1),(112,1),(157,1),(162,1)}
        80:{3,4,6}:{(57,1),(94,1),(106,1),(148,1)}
        81:{1,3,5,7}:{(58,1),(59,1),(104,1),(109,1),(159,1),(208,1)}
        82:{1,4,5,6}:{(59,1),(60,1),(96,1),(109,1),(110,1)}
        83:{3,4,5}:{(60,1),(61,1),(106,1),(112,1)}
        84:{1,3,4,6}:{(61,1),(62,1),(98,1),(111,1),(113,1)}
        85:{2,4,6}:{(61,1),(63,1),(99,1),(112,1)}
        86:{1,2,5,6}:{(62,1),(63,1),(100,1),(113,1),(162,1),(194,1)}
        87:{1,4,5,7}:{(64,1),(114,1),(115,1)}
        88:{3,4,6,7}:{(64,1),(65,1),(72,1),(115,1),(116,1),(126,1)}
        89:{1,3,6,7}:{(65,1),(66,1),(73,1),(117,1),(173,1)}
        90:{2,3,6,7}:{(65,1),(74,1),(116,1),(117,1),(174,1)}
        91:{2,3,5,7}:{(67,1),(68,1),(76,1),(118,1),(119,1),(122,1),(201,1)}
        92:{1,2,5,6}:{(68,1),(70,1),(118,1),(121,1),(167,1),(202,1)}
        93:{1,2,4,5,7}:{(68,1),(69,1),(71,1),(79,1),(119,1),(121,1),(122,1),(127,1),(171,1),(175,1)}
        94:{3,4,7}:{(69,1),(80,1),(122,1)}
        95:{1,3,5,6,7}:{(70,1),(81,1),(120,1),(125,1),(166,1),(172,1)}
        96:{1,4,6}:{(70,1),(71,1),(126,1)}
        97:{3,4,5,7}:{(71,1),(72,1),(83,1),(115,1),(122,1),(126,1),(127,1)}
        98:{1,3,4,7}:{(72,1),(73,1),(84,1),(128,1)}
        99:{2,4,7}:{(72,1),(74,1),(85,1)}
       100:{1,2,5,7}:{(73,1),(74,1),(86,1),(117,1),(128,1)}
       101:{2,3,6,7}:{(75,1),(77,1),(129,1),(172,1)}
       102:{2,3,5,6}:{(75,1),(76,1),(78,1),(129,1),(130,1),(133,1)}
       103:{2,4,5}:{(76,1),(130,1),(131,1)}
       104:{1,2,5,7}:{(77,1),(78,1),(81,1),(129,1)}
       105:{1,2,4,5,6}:{(78,1),(79,1),(82,1),(121,1),(130,1),(132,1),(133,1),(138,1),(168,1),(179,1),(184,1),(202,1)}
       106:{3,5}:{(79,1),(80,1)}
       107:{1,3,4,6}:{(80,1),(123,1),(134,1),(136,1),(173,1),(179,1),(206,1),(207,1)}
       108:{2,3,4,6}:{(80,1),(85,1),(124,1),(135,1),(136,1),(140,1),(174,1),(186,1)}
       109:{1,4,5,7}:{(81,1),(82,1),(125,1),(137,1)}
       110:{3,4,5,6}:{(82,1),(83,1),(126,1),(133,1),(137,1),(138,1)}
       111:{1,3,4,5}:{(83,1),(84,1),(134,1),(139,1),(207,1)}
       112:{2,4,5}:{(83,1),(85,1),(135,1)}
       113:{1,2,4,6}:{(84,1),(85,1),(86,1),(128,1),(139,1),(140,1)}
       114:{1,4,5,6}:{(87,1),(96,1),(142,1)}
       115:{3,5,7}:{(87,1),(88,1),(142,1),(143,1)}
       116:{2,4,6,7}:{(88,1),(90,1),(99,1),(143,1),(153,1)}
       117:{1,2,6,7}:{(89,1),(90,1),(100,1),(194,1)}
       118:{2,3,5,6}:{(91,1),(92,1),(145,1),(148,1),(189,1)}
       119:{2,4,5,7}:{(91,1),(103,1),(145,1),(146,1),(155,1)}
       120:{1,2,5,6,7}:{(92,1),(95,1),(104,1),(144,1),(147,1),(187,1),(208,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(96,1),(145,1),(148,1),(153,1),(191,1),(194,1)}
       122:{3,5,7}:{(93,1),(94,1),(106,1),(148,1)}
       123:{1,3,4,7}:{(94,1),(107,1),(149,1),(151,1),(195,1),(209,1)}
       124:{2,3,4,7}:{(94,1),(99,1),(108,1),(150,1),(151,1),(154,1)}
       125:{1,4,6,7}:{(95,1),(96,1),(109,1),(152,1)}
       126:{3,4,6}:{(96,1),(97,1),(142,1),(148,1),(153,1)}
       127:{2,4,5,7}:{(97,1),(99,1),(112,1),(143,1),(150,1),(153,1)}
       128:{1,2,4,7}:{(98,1),(99,1),(100,1),(113,1),(154,1)}
       129:{2,3,5,7}:{(101,1),(102,1),(104,1),(155,1),(159,1)}
       130:{2,4,6}:{(102,1),(103,1),(155,1),(156,1)}
       131:{3,4,5}:{(103,1),(106,1),(156,1),(157,1)}
       132:{1,2,4,5,7}:{(104,1),(105,1),(109,1),(147,1),(155,1),(159,1),(164,1),(188,1),(195,1),(199,1),(208,1)}
       133:{3,5,6}:{(105,1),(106,1),(148,1),(156,1),(159,1)}
       134:{1,3,5}:{(106,1),(107,1),(157,1),(162,1)}
       135:{2,3,5}:{(106,1),(108,1),(112,1),(162,1)}
       136:{1,2,4,6}:{(107,1),(108,1),(151,1),(162,1),(163,1),(194,1),(200,1)}
       137:{3,4,5,7}:{(109,1),(110,1),(152,1),(159,1),(164,1)}
       138:{2,4,5,6}:{(110,1),(112,1),(153,1),(161,1),(164,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(113,1),(162,1),(165,1),(200,1)}
       140:{2,3,6}:{(113,1),(154,1),(165,1)}
       141:{1,4,5,6,7}:{(114,1),(125,1),(166,1)}
       142:{3,5,6}:{(114,1),(115,1),(126,1),(167,1)}
       143:{2,5,7}:{(115,1),(116,1),(167,1)}
       144:{2,3,5,6,7}:{(118,1),(120,1),(129,1),(169,1),(172,1),(201,1)}
       145:{2,4,6}:{(118,1),(119,1),(170,1)}
       146:{3,4,5,7}:{(119,1),(122,1),(131,1),(170,1),(171,1),(178,1),(201,1)}
       147:{1,2,4,6,7}:{(120,1),(121,1),(125,1),(132,1),(169,1),(172,1),(177,1),(203,1),(204,1)}
       148:{3,6}:{(121,1),(122,1)}
       149:{1,3,5,7}:{(122,1),(123,1),(134,1),(171,1),(173,1),(175,1)}
       150:{2,3,5,7}:{(122,1),(124,1),(127,1),(135,1),(174,1),(175,1)}
       151:{1,2,4,7}:{(123,1),(124,1),(136,1),(175,1),(176,1)}
       152:{3,4,6,7}:{(125,1),(126,1),(137,1),(166,1),(172,1),(177,1)}
       153:{2,4,6}:{(126,1),(127,1),(167,1),(174,1)}
       154:{2,3,7}:{(128,1),(140,1)}
       155:{2,4,7}:{(129,1),(130,1),(178,1)}
       156:{3,4,6}:{(130,1),(131,1),(133,1),(178,1),(179,1)}
       157:{1,4,5}:{(131,1),(134,1),(179,1)}
       158:{2,3,4,5}:{(131,1),(135,1),(180,1),(181,1),(186,1)}
       159:{3,5,7}:{(132,1),(133,1),(172,1),(178,1)}
       160:{1,3,5,6}:{(133,1),(134,1),(173,1),(179,1),(182,1),(184,1),(202,1),(206,1)}
       161:{2,3,5,6}:{(133,1),(135,1),(138,1),(174,1),(180,1),(183,1),(184,1)}
       162:{1,2,5}:{(134,1),(135,1),(136,1)}
       163:{1,2,3,6}:{(136,1),(140,1),(176,1),(185,1),(206,1)}
       164:{2,4,5,7}:{(137,1),(138,1),(177,1),(183,1)}
       165:{2,3,5}:{(139,1),(140,1),(186,1)}
       166:{3,5,6,7}:{(141,1),(142,1),(152,1),(187,1)}
       167:{2,5,6}:{(142,1),(143,1),(153,1)}
       168:{2,4,5,6}:{(145,1),(188,1),(189,1)}
       169:{2,4,6,7}:{(144,1),(145,1),(155,1),(188,1),(190,1)}
       170:{3,4,6}:{(145,1),(146,1),(148,1),(189,1),(191,1)}
       171:{1,4,5,7}:{(146,1),(149,1),(157,1),(191,1),(195,1),(208,1)}
       172:{3,6,7}:{(147,1),(148,1),(159,1)}
       173:{1,3,6}:{(148,1),(149,1),(191,1),(194,1)}
       174:{2,3,6}:{(148,1),(150,1),(153,1),(194,1)}
       175:{1,2,5,7}:{(149,1),(150,1),(151,1),(162,1),(194,1)}
       176:{1,2,3,7}:{(151,1),(154,1),(163,1),(209,1)}
       177:{2,4,6,7}:{(152,1),(153,1),(164,1),(187,1),(193,1)}
       178:{3,4,7}:{(155,1),(156,1),(159,1),(195,1)}
       179:{1,4,6}:{(156,1),(157,1),(160,1),(195,1)}
       180:{2,3,4,6}:{(156,1),(158,1),(161,1),(196,1),(197,1)}
       181:{1,2,4,5}:{(157,1),(158,1),(162,1),(197,1),(198,1),(200,1)}
       182:{1,3,5,7}:{(159,1),(160,1),(192,1),(195,1),(199,1),(208,1),(209,1)}
       183:{2,3,5,7}:{(159,1),(161,1),(164,1),(193,1),(196,1),(199,1)}
       184:{1,2,5,6}:{(160,1),(161,1),(162,1),(194,1),(197,1),(199,1)}
       185:{1,2,3,5}:{(162,1),(163,1),(165,1),(198,1),(200,1)}
       186:{2,3,4}:{(165,1),(200,1)}
       187:{2,5,6,7}:{(166,1),(167,1),(177,1)}
       188:{2,4,5,7}:{(168,1),(169,1),(201,1)}
       189:{3,5,6}:{(168,1),(170,1),(201,1),(202,1)}
       190:{3,4,6,7}:{(169,1),(170,1),(172,1),(178,1),(201,1),(203,1)}
       191:{1,4,6}:{(170,1),(171,1),(173,1),(202,1)}
       192:{1,3,6,7}:{(172,1),(173,1),(182,1),(203,1),(204,1)}
       193:{2,3,6,7}:{(172,1),(174,1),(177,1),(183,1),(204,1)}
       194:{1,2,6}:{(173,1),(174,1),(175,1)}
       195:{1,4,7}:{(178,1),(179,1),(182,1)}
       196:{2,3,4,7}:{(178,1),(180,1),(183,1),(205,1)}
       197:{1,2,4,6}:{(179,1),(180,1),(181,1),(184,1),(205,1),(206,1)}
       198:{1,3,5}:{(181,1),(206,1),(207,1)}
       199:{1,2,5,7}:{(182,1),(183,1),(184,1),(204,1),(205,1)}
       200:{1,2,4}:{(185,1),(186,1),(207,1)}
       201:{3,5,7}:{(188,1),(189,1),(190,1),(208,1)}
       202:{1,5,6}:{(189,1),(191,1),(208,1)}
       203:{1,4,6,7}:{(190,1),(191,1),(192,1),(195,1),(208,1)}
       204:{1,2,6,7}:{(192,1),(193,1),(194,1),(199,1)}
       205:{1,2,4,7}:{(195,1),(196,1),(197,1),(199,1),(209,1)}
       206:{1,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,3,4}:{(198,1),(200,1)}
       208:{1,5,7}:{(201,1),(202,1),(203,1)}
       209:{1,3,7}:{(205,1),(206,1)}

1268 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(16,1),(17,1),(20,1),(21,1),(36,1),(68,1),(95,1),(96,1),(103,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(118,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(18,1),(19,1),(20,1),(130,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(15,1),(68,1),(97,1),(129,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(26,1),(27,1),(28,1)}
         5:{3,5,7}:{(2,1),(3,1),(9,1),(136,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(58,1),(62,1),(84,1),(92,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(58,1),(62,1),(83,1),(91,1),(111,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(34,1),(35,1),(36,1),(65,1),(102,1)}
         9:{3,5,6}:{(4,1),(5,1),(15,1)}
        10:{3,4,5,7}:{(5,1),(15,1),(18,1),(19,1),(45,1),(97,1),(106,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1),(45,1),(109,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(45,1),(108,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(41,1),(46,1),(107,1)}
        14:{3,5,6,7}:{(8,1),(9,1),(22,1),(82,1),(117,1)}
        15:{3,4,6}:{(9,1),(10,1),(26,1),(27,1),(58,1)}
        16:{1,3,5,6}:{(9,1),(11,1),(26,1),(28,1),(58,1)}
        17:{2,3,5,6}:{(9,1),(12,1),(27,1),(28,1),(58,1)}
        18:{1,4,5,7}:{(10,1),(11,1),(26,1),(112,1),(120,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(27,1),(111,1),(119,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(28,1),(121,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(58,1),(83,1),(84,1),(90,1)}
        22:{3,4,6,7}:{(14,1),(15,1),(33,1),(34,1),(35,1),(68,1),(97,1),(125,1)}
        23:{1,3,5,6,7}:{(14,1),(16,1),(34,1),(36,1),(63,1),(68,1),(96,1),(128,1)}
        24:{2,3,5,6,7}:{(14,1),(17,1),(35,1),(36,1),(64,1),(68,1),(95,1),(127,1)}
        25:{3,4,5,6}:{(15,1),(33,1),(37,1),(38,1),(72,1),(106,1),(125,1)}
        26:{1,4,6}:{(15,1),(16,1),(18,1)}
        27:{2,4,6}:{(15,1),(17,1),(19,1)}
        28:{1,2,5,6}:{(16,1),(17,1),(20,1),(41,1)}
        29:{1,3,4,5,7}:{(18,1),(39,1),(43,1),(45,1),(63,1),(79,1),(97,1),(106,1),(109,1),(124,1),(137,1)}
        30:{2,3,4,5,7}:{(19,1),(40,1),(44,1),(45,1),(64,1),(78,1),(97,1),(106,1),(108,1),(123,1),(137,1)}
        31:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(41,1),(45,1),(46,1),(76,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(42,1),(45,1),(46,1),(95,1),(96,1)}
        33:{3,4,5,7}:{(22,1),(25,1),(47,1),(48,1),(82,1)}
        34:{1,4,6,7}:{(22,1),(23,1),(26,1),(47,1),(112,1),(134,1)}
        35:{2,4,6,7}:{(22,1),(24,1),(27,1),(48,1),(111,1),(133,1)}
        36:{1,2,5,6,7}:{(23,1),(24,1),(28,1),(51,1),(80,1),(81,1),(135,1)}
        37:{1,4,5,6}:{(25,1),(26,1),(47,1),(53,1),(120,1),(134,1)}
        38:{2,4,5,6}:{(25,1),(27,1),(48,1),(54,1),(119,1),(133,1)}
        39:{1,3,4,6}:{(26,1),(29,1),(53,1),(56,1),(58,1),(89,1),(134,1),(139,1)}
        40:{2,3,4,6}:{(27,1),(30,1),(54,1),(57,1),(58,1),(89,1),(133,1),(139,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(58,1)}
        42:{1,2,3,5,6}:{(28,1),(32,1),(58,1),(59,1),(87,1),(88,1),(90,1),(93,1),(121,1)}
        43:{1,2,4,5,7}:{(29,1),(56,1),(60,1),(80,1),(94,1),(111,1),(119,1),(121,1)}
        44:{1,2,4,5,7}:{(30,1),(57,1),(61,1),(81,1),(94,1),(112,1),(120,1),(121,1)}
        45:{3,5,7}:{(31,1),(58,1),(62,1),(93,1)}
        46:{1,2,4,7}:{(32,1),(59,1),(62,1),(111,1),(112,1)}
        47:{1,4,5,7}:{(33,1),(34,1),(37,1),(63,1)}
        48:{2,4,5,7}:{(33,1),(35,1),(38,1),(64,1)}
        49:{1,3,4,6,7}:{(34,1),(39,1),(63,1),(66,1),(68,1),(97,1)}
        50:{2,3,4,6,7}:{(35,1),(40,1),(64,1),(67,1),(68,1),(97,1)}
        51:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(41,1),(65,1),(68,1),(138,1)}
        52:{1,2,3,5,6,7}:{(36,1),(42,1),(68,1),(69,1),(95,1),(96,1),(98,1),(101,1),(126,1),(127,1),(128,1)}
        53:{1,3,5,6}:{(37,1),(39,1),(63,1),(70,1),(72,1),(109,1)}
        54:{2,3,5,6}:{(38,1),(40,1),(64,1),(71,1),(72,1),(108,1)}
        55:{1,2,4,5,6}:{(37,1),(38,1),(41,1),(65,1),(70,1),(71,1),(72,1),(76,1),(104,1),(105,1),(130,1),(138,1)}
        56:{1,2,4,6}:{(39,1),(43,1),(70,1),(73,1),(104,1)}
        57:{1,2,4,6}:{(40,1),(44,1),(71,1),(74,1),(105,1)}
        58:{3,6}:{(41,1),(45,1)}
        59:{1,2,4,6}:{(42,1),(46,1),(75,1),(76,1),(104,1),(105,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(73,1),(78,1),(108,1),(137,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(74,1),(79,1),(109,1),(137,1)}
        62:{3,4,7}:{(45,1),(46,1),(75,1)}
        63:{1,3,5,7}:{(47,1),(49,1),(53,1),(80,1),(82,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(54,1),(81,1),(82,1)}
        65:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(55,1),(80,1),(81,1),(82,1),(111,1),(112,1)}
        66:{1,2,4,6,7}:{(49,1),(56,1),(80,1),(83,1),(111,1)}
        67:{1,2,4,6,7}:{(50,1),(57,1),(81,1),(84,1),(112,1)}
        68:{3,6,7}:{(51,1),(58,1),(82,1),(139,1)}
        69:{1,2,4,6,7}:{(52,1),(59,1),(85,1),(86,1),(111,1),(112,1),(133,1),(134,1)}
        70:{1,2,5,6}:{(53,1),(56,1),(80,1),(87,1),(121,1)}
        71:{1,2,5,6}:{(54,1),(57,1),(81,1),(88,1),(121,1)}
        72:{3,5,6}:{(55,1),(58,1),(82,1),(89,1),(93,1),(136,1),(139,1)}
        73:{2,3,6}:{(56,1),(58,1),(60,1),(139,1)}
        74:{1,3,6}:{(57,1),(58,1),(61,1),(139,1)}
        75:{3,4,6}:{(58,1),(59,1),(62,1),(93,1)}
        76:{1,2,4,5}:{(59,1),(93,1),(119,1),(120,1),(121,1)}
        77:{1,2,3,5,7}:{(60,1),(61,1),(90,1),(94,1),(121,1)}
        78:{2,3,4,7}:{(60,1),(62,1),(91,1),(94,1),(111,1),(131,1)}
        79:{1,3,4,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(131,1)}
        80:{1,2,5,7}:{(63,1),(66,1),(70,1),(95,1)}
        81:{1,2,5,7}:{(64,1),(67,1),(71,1),(96,1)}
        82:{3,5,7}:{(65,1),(68,1),(72,1),(97,1)}
        83:{2,3,6,7}:{(66,1),(68,1),(73,1),(95,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(74,1),(96,1)}
        85:{3,4,6,7}:{(68,1),(69,1),(75,1),(97,1),(101,1),(125,1)}
        86:{1,2,4,5,7}:{(69,1),(76,1),(101,1),(102,1),(123,1),(124,1),(126,1)}
        87:{2,3,5,6}:{(70,1),(72,1),(73,1),(95,1),(104,1),(108,1)}
        88:{1,3,5,6}:{(71,1),(72,1),(74,1),(96,1),(105,1),(109,1)}
        89:{3,4,6}:{(72,1),(97,1),(104,1),(105,1),(106,1)}
        90:{1,2,3,6}:{(73,1),(74,1),(77,1),(107,1)}
        91:{2,3,4,6}:{(73,1),(75,1),(78,1),(104,1),(107,1),(108,1),(129,1)}
        92:{1,3,4,6}:{(74,1),(75,1),(79,1),(105,1),(107,1),(109,1),(129,1)}
        93:{3,5}:{(75,1),(76,1)}
        94:{1,2,4,7}:{(77,1),(78,1),(79,1),(107,1)}
        95:{2,3,5,7}:{(80,1),(82,1),(83,1),(87,1),(111,1)}
        96:{1,3,5,7}:{(81,1),(82,1),(84,1),(88,1),(112,1)}
        97:{3,4,7}:{(82,1),(89,1),(111,1),(112,1)}
        98:{1,2,3,6,7}:{(83,1),(84,1),(90,1),(110,1),(114,1),(139,1)}
        99:{2,3,4,6,7}:{(83,1),(85,1),(91,1),(111,1),(114,1),(115,1),(131,1),(133,1),(139,1)}
       100:{1,3,4,6,7}:{(84,1),(85,1),(92,1),(112,1),(114,1),(116,1),(131,1),(134,1),(139,1)}
       101:{3,5,7}:{(85,1),(86,1),(93,1),(117,1)}
       102:{1,2,4,5,6}:{(86,1),(117,1),(133,1),(134,1),(135,1)}
       103:{1,2,3,5,6}:{(87,1),(88,1),(90,1),(110,1),(118,1),(121,1),(135,1),(136,1),(139,1)}
       104:{2,4,6}:{(87,1),(89,1),(111,1),(119,1)}
       105:{1,4,6}:{(88,1),(89,1),(112,1),(120,1)}
       106:{3,4,5}:{(89,1),(93,1),(119,1),(120,1),(136,1)}
       107:{1,2,4,6}:{(90,1),(91,1),(92,1),(94,1),(121,1)}
       108:{2,3,5}:{(91,1),(93,1),(119,1),(121,1),(136,1)}
       109:{1,3,5}:{(92,1),(93,1),(120,1),(121,1),(136,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(103,1),(122,1),(126,1),(137,1)}
       111:{2,4,7}:{(95,1),(97,1),(104,1)}
       112:{1,4,7}:{(96,1),(97,1),(105,1)}
       113:{3,4,5,7}:{(97,1),(101,1),(106,1),(123,1),(124,1),(125,1),(137,1)}
       114:{1,2,4,6,7}:{(98,1),(99,1),(100,1),(107,1),(122,1),(126,1),(138,1)}
       115:{2,3,5,7}:{(99,1),(101,1),(108,1),(123,1),(126,1),(127,1),(137,1)}
       116:{1,3,5,7}:{(100,1),(101,1),(109,1),(124,1),(126,1),(128,1),(137,1)}
       117:{3,5,6}:{(101,1),(102,1),(125,1)}
       118:{1,2,4,6}:{(103,1),(104,1),(105,1),(122,1),(129,1),(130,1)}
       119:{2,4,5}:{(104,1),(106,1),(108,1)}
       120:{1,4,5}:{(105,1),(106,1),(109,1)}
       121:{1,2,5}:{(107,1),(108,1),(109,1)}
       122:{1,2,4,7}:{(110,1),(111,1),(112,1),(118,1),(131,1)}
       123:{2,4,5,7}:{(111,1),(113,1),(115,1),(119,1),(133,1)}
       124:{1,4,5,7}:{(112,1),(113,1),(116,1),(120,1),(134,1)}
       125:{3,4,6}:{(113,1),(117,1),(133,1),(134,1),(139,1)}
       126:{1,2,5,7}:{(114,1),(115,1),(116,1),(121,1),(135,1)}
       127:{2,3,5,6}:{(115,1),(117,1),(133,1),(135,1),(139,1)}
       128:{1,3,5,6}:{(116,1),(117,1),(134,1),(135,1),(139,1)}
       129:{3,4,6}:{(118,1),(131,1),(136,1),(139,1)}
       130:{1,2,4,5}:{(118,1),(119,1),(120,1),(121,1),(136,1)}
       131:{3,4,7}:{(122,1),(129,1),(137,1)}
       132:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(126,1),(130,1),(137,1),(138,1)}
       133:{2,4,6}:{(123,1),(125,1),(127,1)}
       134:{1,4,6}:{(124,1),(125,1),(128,1)}
       135:{1,2,5,6}:{(126,1),(127,1),(128,1),(138,1)}
       136:{3,5}:{(129,1),(130,1)}
       137:{3,5,7}:{(131,1),(132,1),(136,1),(139,1)}
       138:{1,2,4,6}:{(132,1),(133,1),(134,1),(135,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1269 :   0:{1,2,3,6}:{(3,1),(4,1),(5,1),(66,1),(125,1)}
         1:{2,3,4,6}:{(3,1),(6,1),(7,1),(24,1),(27,1),(31,1),(66,1),(76,1)}
         2:{1,3,4,6}:{(3,1),(8,1),(9,1),(24,1),(32,1),(36,1),(66,1),(76,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(2,1),(10,1),(11,1),(12,1),(44,1)}
         4:{1,2,3,5}:{(0,1),(10,1),(12,1),(42,1),(100,1),(105,1)}
         5:{1,2,3,7}:{(0,1),(11,1),(98,1),(151,1),(230,1)}
         6:{2,3,5}:{(1,1),(10,1),(15,1),(42,1),(109,1)}
         7:{2,3,4,7}:{(1,1),(11,1),(16,1),(47,1),(50,1),(98,1),(223,1)}
         8:{1,3,5}:{(2,1),(10,1),(18,1),(42,1),(109,1)}
         9:{1,3,4,7}:{(2,1),(11,1),(19,1),(47,1),(56,1),(98,1),(222,1)}
        10:{1,2,5}:{(3,1),(6,1),(8,1)}
        11:{1,2,4,7}:{(3,1),(5,1),(7,1),(9,1),(23,1),(228,1)}
        12:{1,2,4}:{(4,1),(24,1)}
        13:{1,2,3,5,7}:{(4,1),(5,1),(23,1),(25,1),(26,1),(71,1),(77,1),(130,1),(134,1),(179,1)}
        14:{2,3,5,6}:{(6,1),(21,1),(27,1),(28,1),(31,1),(64,1),(66,1),(83,1),(133,1)}
        15:{2,4,5}:{(6,1),(27,1),(29,1),(138,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(23,1),(30,1),(31,1),(71,1),(213,1),(226,1)}
        17:{1,3,5,6}:{(8,1),(21,1),(32,1),(33,1),(36,1),(37,1),(66,1),(89,1),(133,1)}
        18:{1,4,5}:{(8,1),(32,1),(34,1),(138,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(23,1),(35,1),(36,1),(71,1),(212,1),(225,1)}
        20:{1,4,5,6}:{(32,1),(37,1),(38,1),(89,1),(146,1)}
        21:{1,2,5,6}:{(10,1),(14,1),(17,1),(40,1),(41,1),(44,1),(61,1),(93,1)}
        22:{1,2,4,5}:{(10,1),(12,1),(15,1),(18,1),(40,1),(42,1),(52,1),(58,1),(100,1)}
        23:{1,2,5,7}:{(10,1),(11,1),(16,1),(19,1),(44,1),(224,1),(229,1)}
        24:{3,4}:{(12,1),(42,1)}
        25:{1,2,4,7}:{(12,1),(13,1),(47,1),(48,1),(195,1)}
        26:{1,2,3,6}:{(13,1),(44,1),(48,1),(103,1),(155,1)}
        27:{2,4,6}:{(14,1),(15,1),(49,1),(50,1),(158,1)}
        28:{2,3,5,7}:{(14,1),(41,1),(50,1),(51,1),(94,1),(98,1),(112,1),(154,1)}
        29:{3,4,5}:{(15,1),(42,1),(49,1),(52,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(50,1),(53,1),(54,1),(112,1),(197,1),(218,1)}
        31:{2,3,6}:{(16,1),(44,1),(54,1),(103,1)}
        32:{1,4,6}:{(17,1),(18,1),(55,1),(56,1),(158,1)}
        33:{1,3,5,7}:{(17,1),(41,1),(56,1),(57,1),(62,1),(98,1),(117,1),(154,1)}
        34:{3,4,5}:{(18,1),(42,1),(55,1),(58,1)}
        35:{1,4,5,7}:{(18,1),(19,1),(56,1),(59,1),(60,1),(117,1),(198,1),(219,1)}
        36:{1,3,6}:{(19,1),(44,1),(60,1),(103,1)}
        37:{3,5,6}:{(20,1),(55,1),(61,1),(62,1)}
        38:{1,4,5,7}:{(20,1),(56,1),(62,1),(63,1),(117,1),(167,1)}
        39:{2,4,5,6}:{(27,1),(64,1),(65,1),(83,1),(142,1)}
        40:{1,2,4,6}:{(21,1),(22,1),(27,1),(32,1),(66,1),(67,1),(78,1),(84,1),(125,1)}
        41:{1,2,5,7}:{(21,1),(28,1),(33,1),(67,1),(68,1),(90,1),(122,1)}
        42:{3,5}:{(22,1),(24,1),(66,1)}
        43:{1,2,4,5,7}:{(22,1),(23,1),(25,1),(30,1),(35,1),(67,1),(71,1),(72,1),(77,1),(81,1),(87,1),(129,1),(130,1),(138,1),(175,1),(180,1),(205,1)}
        44:{1,2,6}:{(23,1),(31,1),(36,1)}
        45:{1,3,4}:{(24,1),(69,1),(73,1)}
        46:{2,3,4}:{(24,1),(70,1),(73,1)}
        47:{3,4,7}:{(24,1),(25,1),(71,1),(76,1),(175,1),(211,1)}
        48:{1,2,4,6}:{(25,1),(26,1),(76,1),(77,1)}
        49:{3,4,6}:{(27,1),(29,1),(64,1),(66,1),(78,1),(79,1)}
        50:{2,4,7}:{(27,1),(28,1),(79,1),(175,1)}
        51:{2,3,6,7}:{(28,1),(31,1),(68,1),(80,1),(123,1),(128,1),(226,1)}
        52:{1,4,5}:{(29,1),(69,1),(78,1)}
        53:{3,4,5,7}:{(29,1),(30,1),(71,1),(79,1),(81,1),(82,1),(138,1),(140,1),(175,1),(181,1),(206,1)}
        54:{2,4,6}:{(30,1),(31,1),(82,1),(83,1)}
        55:{3,4,6}:{(32,1),(34,1),(37,1),(66,1),(84,1),(85,1)}
        56:{1,4,7}:{(32,1),(33,1),(85,1),(175,1)}
        57:{1,3,6,7}:{(33,1),(36,1),(68,1),(86,1),(91,1),(128,1),(225,1)}
        58:{2,4,5}:{(34,1),(70,1),(84,1)}
        59:{3,4,5,7}:{(34,1),(35,1),(71,1),(85,1),(87,1),(88,1),(138,1),(144,1),(175,1),(182,1),(207,1)}
        60:{1,4,6}:{(35,1),(36,1),(88,1),(89,1)}
        61:{2,5,6}:{(37,1),(84,1),(90,1)}
        62:{3,5,7}:{(37,1),(38,1),(85,1),(90,1),(91,1)}
        63:{1,4,6,7}:{(38,1),(91,1),(92,1),(148,1)}
        64:{3,5,6}:{(39,1),(49,1),(93,1),(94,1)}
        65:{2,4,5,7}:{(39,1),(50,1),(94,1),(95,1),(112,1),(164,1)}
        66:{3,6}:{(40,1),(42,1),(98,1)}
        67:{1,2,4,7}:{(40,1),(41,1),(50,1),(56,1),(98,1),(110,1),(115,1),(151,1)}
        68:{1,2,6,7}:{(41,1),(44,1),(51,1),(57,1),(120,1),(149,1),(229,1)}
        69:{1,3,5}:{(42,1),(45,1),(52,1),(96,1),(100,1)}
        70:{2,3,5}:{(42,1),(46,1),(58,1),(97,1),(100,1)}
        71:{3,5,7}:{(42,1),(43,1),(47,1),(98,1),(103,1),(109,1),(196,1),(217,1)}
        72:{1,2,4,6}:{(43,1),(44,1),(54,1),(60,1),(103,1),(104,1),(113,1),(118,1),(155,1),(158,1)}
        73:{1,2,4}:{(45,1),(46,1),(100,1),(105,1)}
        74:{1,3,4,7}:{(45,1),(47,1),(101,1),(106,1),(107,1),(190,1),(217,1)}
        75:{2,3,4,7}:{(46,1),(47,1),(102,1),(106,1),(108,1),(191,1),(217,1)}
        76:{3,4,6}:{(47,1),(48,1),(103,1),(109,1),(158,1)}
        77:{1,2,5}:{(48,1),(109,1)}
        78:{1,4,6}:{(49,1),(52,1),(93,1),(96,1),(110,1)}
        79:{3,4,7}:{(49,1),(50,1),(94,1),(98,1),(110,1)}
        80:{2,4,6,7}:{(50,1),(51,1),(54,1),(111,1),(112,1),(216,1),(218,1)}
        81:{1,4,5,7}:{(52,1),(53,1),(101,1),(110,1),(113,1),(161,1),(163,1),(190,1)}
        82:{3,4,6}:{(53,1),(54,1),(103,1),(113,1),(114,1),(158,1)}
        83:{2,5,6}:{(54,1),(112,1),(114,1)}
        84:{2,4,6}:{(55,1),(58,1),(61,1),(97,1),(115,1)}
        85:{3,4,7}:{(55,1),(56,1),(62,1),(98,1),(115,1)}
        86:{1,4,6,7}:{(56,1),(57,1),(60,1),(116,1),(117,1),(203,1),(219,1)}
        87:{2,4,5,7}:{(58,1),(59,1),(102,1),(115,1),(118,1),(162,1),(166,1),(191,1)}
        88:{3,4,6}:{(59,1),(60,1),(103,1),(118,1),(119,1),(158,1)}
        89:{1,5,6}:{(60,1),(117,1),(119,1)}
        90:{2,5,7}:{(61,1),(62,1),(115,1),(120,1)}
        91:{3,6,7}:{(62,1),(63,1),(120,1)}
        92:{1,5,6,7}:{(63,1),(117,1),(121,1),(203,1)}
        93:{1,5,6}:{(64,1),(78,1),(122,1)}
        94:{3,5,7}:{(64,1),(65,1),(79,1),(122,1),(123,1)}
        95:{2,4,6,7}:{(65,1),(123,1),(124,1),(171,1)}
        96:{1,3,6}:{(66,1),(69,1),(78,1),(125,1),(126,1)}
        97:{2,3,6}:{(66,1),(70,1),(84,1),(125,1),(127,1)}
        98:{3,7}:{(66,1),(67,1)}
        99:{1,2,4,6,7}:{(67,1),(68,1),(72,1),(80,1),(86,1),(128,1),(129,1),(139,1),(143,1),(172,1),(175,1),(205,1)}
       100:{1,2,5}:{(69,1),(70,1),(73,1),(125,1)}
       101:{1,3,5,7}:{(69,1),(71,1),(74,1),(81,1),(126,1),(130,1),(131,1),(136,1)}
       102:{2,3,5,7}:{(70,1),(71,1),(75,1),(87,1),(127,1),(130,1),(132,1),(137,1)}
       103:{3,6}:{(71,1),(72,1)}
       104:{1,2,5,6}:{(72,1),(77,1),(83,1),(89,1),(129,1),(133,1),(141,1),(145,1)}
       105:{1,2,3}:{(73,1)}
       106:{1,2,4,7}:{(73,1),(74,1),(75,1),(130,1),(134,1),(135,1)}
       107:{1,3,4,6}:{(74,1),(76,1),(131,1),(135,1),(136,1),(177,1),(208,1),(211,1)}
       108:{2,3,4,6}:{(75,1),(76,1),(132,1),(135,1),(137,1),(178,1),(208,1),(211,1)}
       109:{3,5}:{(76,1),(77,1),(138,1)}
       110:{1,4,7}:{(78,1),(79,1),(122,1),(126,1)}
       111:{3,4,6,7}:{(79,1),(80,1),(82,1),(123,1),(128,1),(139,1),(140,1),(171,1),(175,1),(204,1),(206,1)}
       112:{2,5,7}:{(80,1),(83,1),(140,1)}
       113:{1,4,6}:{(81,1),(82,1),(131,1),(141,1)}
       114:{3,5,6}:{(82,1),(83,1),(140,1),(141,1),(142,1)}
       115:{2,4,7}:{(84,1),(85,1),(90,1),(127,1)}
       116:{3,4,6,7}:{(85,1),(86,1),(88,1),(91,1),(128,1),(143,1),(144,1),(148,1),(175,1),(187,1),(207,1)}
       117:{1,5,7}:{(86,1),(89,1),(144,1)}
       118:{2,4,6}:{(87,1),(88,1),(132,1),(145,1)}
       119:{3,5,6}:{(88,1),(89,1),(144,1),(145,1),(146,1)}
       120:{2,6,7}:{(90,1),(91,1)}
       121:{3,5,6,7}:{(91,1),(92,1),(144,1),(147,1),(148,1),(187,1)}
       122:{1,5,7}:{(93,1),(94,1),(110,1),(149,1)}
       123:{3,6,7}:{(94,1),(95,1),(149,1)}
       124:{2,5,6,7}:{(95,1),(112,1),(150,1),(216,1)}
       125:{1,2,6}:{(96,1),(97,1),(100,1),(151,1)}
       126:{1,3,7}:{(96,1),(98,1),(110,1),(151,1)}
       127:{2,3,7}:{(97,1),(98,1),(115,1),(151,1)}
       128:{3,6,7}:{(98,1),(99,1),(103,1),(154,1),(217,1)}
       129:{1,2,5,7}:{(99,1),(104,1),(112,1),(117,1),(154,1),(163,1),(166,1)}
       130:{1,2,5,7}:{(100,1),(101,1),(102,1),(106,1),(151,1),(155,1),(160,1)}
       131:{1,3,6}:{(101,1),(103,1),(113,1),(155,1)}
       132:{2,3,6}:{(102,1),(103,1),(118,1),(155,1)}
       133:{3,5,6}:{(103,1),(104,1),(109,1),(154,1),(158,1)}
       134:{1,2,3,7}:{(105,1),(106,1),(159,1),(217,1),(229,1)}
       135:{1,2,4,6}:{(106,1),(107,1),(108,1),(155,1),(159,1),(160,1),(195,1)}
       136:{1,3,5}:{(107,1),(109,1),(160,1),(161,1),(196,1)}
       137:{2,3,5}:{(108,1),(109,1),(160,1),(162,1),(196,1)}
       138:{4,5}:{(109,1),(158,1)}
       139:{1,4,6,7}:{(110,1),(111,1),(113,1),(149,1),(152,1),(163,1),(190,1)}
       140:{3,5,7}:{(111,1),(112,1),(114,1),(163,1),(164,1)}
       141:{1,5,6}:{(113,1),(114,1),(163,1)}
       142:{4,5,6}:{(114,1),(158,1),(164,1)}
       143:{2,4,6,7}:{(115,1),(116,1),(118,1),(120,1),(153,1),(166,1),(191,1)}
       144:{3,5,7}:{(116,1),(117,1),(119,1),(166,1),(167,1)}
       145:{2,5,6}:{(118,1),(119,1),(166,1)}
       146:{4,5,6}:{(119,1),(158,1),(167,1)}
       147:{2,5,6,7}:{(120,1),(121,1),(166,1),(169,1)}
       148:{4,6,7}:{(121,1),(167,1)}
       149:{1,6,7}:{(122,1),(123,1)}
       150:{3,5,6,7}:{(123,1),(124,1),(140,1),(170,1),(171,1),(204,1)}
       151:{1,2,7}:{(125,1),(126,1),(127,1)}
       152:{1,3,6,7}:{(126,1),(128,1),(131,1),(139,1),(172,1),(173,1),(204,1)}
       153:{2,3,6,7}:{(127,1),(128,1),(132,1),(143,1),(172,1),(174,1),(187,1)}
       154:{3,5,7}:{(128,1),(129,1),(133,1),(175,1)}
       155:{1,2,6}:{(130,1),(131,1),(132,1)}
       156:{1,3,5,6}:{(131,1),(133,1),(136,1),(141,1),(173,1),(176,1),(177,1),(184,1),(208,1)}
       157:{2,3,5,6}:{(132,1),(133,1),(137,1),(145,1),(174,1),(176,1),(178,1),(186,1),(208,1)}
       158:{4,6}:{(133,1),(138,1),(175,1)}
       159:{1,2,3,6}:{(134,1),(135,1),(179,1),(208,1),(227,1)}
       160:{1,2,5}:{(135,1),(136,1),(137,1)}
       161:{1,4,5}:{(136,1),(138,1),(177,1),(181,1)}
       162:{2,4,5}:{(137,1),(138,1),(178,1),(182,1)}
       163:{1,5,7}:{(139,1),(140,1),(141,1)}
       164:{4,5,7}:{(140,1),(142,1),(171,1),(175,1)}
       165:{1,4,5,6}:{(141,1),(142,1),(177,1),(183,1),(184,1)}
       166:{2,5,7}:{(143,1),(144,1),(145,1)}
       167:{4,5,7}:{(144,1),(146,1),(148,1),(175,1)}
       168:{2,4,5,6}:{(145,1),(146,1),(178,1),(185,1),(186,1)}
       169:{2,4,6,7}:{(147,1),(148,1),(185,1),(187,1)}
       170:{1,5,6,7}:{(149,1),(150,1),(163,1),(188,1)}
       171:{4,6,7}:{(150,1),(164,1)}
       172:{1,2,6,7}:{(151,1),(152,1),(153,1),(155,1),(189,1),(203,1),(216,1)}
       173:{1,3,5,7}:{(152,1),(154,1),(156,1),(163,1),(189,1),(190,1),(199,1),(217,1)}
       174:{2,3,5,7}:{(153,1),(154,1),(157,1),(166,1),(189,1),(191,1),(201,1),(217,1)}
       175:{4,7}:{(154,1),(158,1)}
       176:{1,2,5,6}:{(155,1),(156,1),(157,1),(160,1),(189,1),(192,1),(200,1),(202,1)}
       177:{1,4,6}:{(156,1),(158,1),(161,1),(190,1),(193,1)}
       178:{2,4,6}:{(157,1),(158,1),(162,1),(191,1),(194,1)}
       179:{1,2,3,5}:{(159,1),(160,1),(195,1),(196,1),(224,1),(230,1)}
       180:{1,2,4,5}:{(160,1),(161,1),(162,1),(192,1),(195,1),(196,1),(197,1),(198,1),(224,1)}
       181:{3,4,5}:{(161,1),(193,1),(196,1),(197,1)}
       182:{3,4,5}:{(162,1),(194,1),(196,1),(198,1)}
       183:{1,4,5,7}:{(163,1),(164,1),(165,1),(188,1),(190,1),(199,1)}
       184:{3,5,6}:{(165,1),(193,1),(199,1),(200,1)}
       185:{2,4,5,7}:{(166,1),(167,1),(168,1),(169,1),(191,1),(201,1)}
       186:{3,5,6}:{(168,1),(194,1),(201,1),(202,1)}
       187:{3,6,7}:{(169,1),(201,1),(203,1)}
       188:{1,4,6,7}:{(170,1),(171,1),(183,1),(204,1)}
       189:{1,2,5,7}:{(172,1),(173,1),(174,1),(176,1),(205,1),(214,1),(215,1)}
       190:{1,4,7}:{(173,1),(175,1),(177,1),(206,1)}
       191:{2,4,7}:{(174,1),(175,1),(178,1),(207,1)}
       192:{1,2,4,6}:{(176,1),(177,1),(178,1),(180,1),(205,1),(208,1),(209,1),(210,1),(227,1)}
       193:{3,4,6}:{(177,1),(181,1),(184,1),(206,1),(208,1),(209,1)}
       194:{3,4,6}:{(178,1),(182,1),(186,1),(207,1),(208,1),(210,1)}
       195:{1,2,4}:{(179,1),(211,1)}
       196:{3,5}:{(180,1),(208,1),(211,1)}
       197:{2,4,5}:{(181,1),(209,1),(213,1)}
       198:{1,4,5}:{(182,1),(210,1),(212,1)}
       199:{3,5,7}:{(183,1),(184,1),(204,1),(206,1),(214,1)}
       200:{2,5,6}:{(184,1),(209,1),(214,1)}
       201:{3,5,7}:{(185,1),(186,1),(187,1),(207,1),(215,1)}
       202:{1,5,6}:{(186,1),(210,1),(215,1)}
       203:{1,6,7}:{(187,1),(215,1)}
       204:{3,6,7}:{(188,1),(199,1),(216,1)}
       205:{1,2,4,7}:{(189,1),(190,1),(191,1),(192,1),(217,1),(218,1),(219,1),(229,1)}
       206:{3,4,7}:{(190,1),(193,1),(199,1),(217,1),(218,1)}
       207:{3,4,7}:{(191,1),(194,1),(201,1),(217,1),(219,1)}
       208:{3,6}:{(192,1),(196,1),(217,1)}
       209:{2,4,6}:{(193,1),(197,1),(200,1),(218,1),(221,1)}
       210:{1,4,6}:{(194,1),(198,1),(202,1),(219,1),(220,1)}
       211:{3,4}:{(195,1),(196,1)}
       212:{1,3,5}:{(196,1),(198,1),(220,1),(222,1),(224,1)}
       213:{2,3,5}:{(196,1),(197,1),(221,1),(223,1),(224,1)}
       214:{2,5,7}:{(199,1),(200,1),(216,1),(218,1)}
       215:{1,5,7}:{(201,1),(202,1),(203,1),(219,1)}
       216:{2,6,7}:{(204,1),(214,1)}
       217:{3,7}:{(205,1),(208,1)}
       218:{2,4,7}:{(206,1),(209,1),(214,1),(226,1)}
       219:{1,4,7}:{(207,1),(210,1),(215,1),(225,1)}
       220:{1,3,6}:{(208,1),(210,1),(212,1),(225,1),(227,1)}
       221:{2,3,6}:{(208,1),(209,1),(213,1),(226,1),(227,1)}
       222:{1,3,4}:{(211,1),(212,1),(228,1)}
       223:{2,3,4}:{(211,1),(213,1),(228,1)}
       224:{1,2,5}:{(212,1),(213,1),(227,1),(228,1)}
       225:{1,3,7}:{(217,1),(219,1),(220,1),(229,1)}
       226:{2,3,7}:{(217,1),(218,1),(221,1),(229,1)}
       227:{1,2,6}:{(220,1),(221,1),(224,1),(229,1)}
       228:{1,2,4}:{(222,1),(223,1),(224,1),(230,1)}
       229:{1,2,7}:{(225,1),(226,1),(227,1)}
       230:{1,2,3}:{(228,1)}

1270 :   0:{1,3,5,7}:{(5,1),(6,1),(7,1),(12,1),(33,1),(37,1),(67,1)}
         1:{2,3,5,7}:{(5,1),(8,1),(9,1),(10,1),(33,1),(40,1),(67,1)}
         2:{2,4,5,7}:{(8,1),(10,1),(11,1),(32,1),(40,1),(63,1),(71,1)}
         3:{1,4,5,7}:{(6,1),(12,1),(13,1),(15,1),(37,1),(46,1),(69,1)}
         4:{1,4,6,7}:{(13,1),(14,1),(15,1),(46,1)}
         5:{1,2,5,7}:{(0,1),(1,1),(17,1),(18,1),(23,1),(26,1),(52,1)}
         6:{1,4,7}:{(0,1),(19,1),(20,1),(79,1),(84,1)}
         7:{1,3,6}:{(0,1),(18,1),(20,1),(27,1),(51,1),(102,1)}
         8:{2,4,7}:{(1,1),(21,1),(22,1),(79,1),(93,1)}
         9:{2,3,6}:{(1,1),(18,1),(22,1),(24,1),(51,1),(103,1)}
        10:{3,5,7}:{(2,1),(21,1),(23,1),(24,1),(56,1)}
        11:{2,4,6}:{(2,1),(24,1),(25,1),(58,1)}
        12:{3,5,7}:{(3,1),(19,1),(26,1),(27,1),(54,1)}
        13:{1,4,6}:{(3,1),(27,1),(28,1),(60,1)}
        14:{3,6,7}:{(4,1),(27,1),(29,1),(30,1)}
        15:{1,5,7}:{(4,1),(28,1),(30,1),(84,1)}
        16:{2,4,6,7}:{(11,1),(31,1),(32,1),(63,1)}
        17:{1,2,4,7}:{(5,1),(6,1),(8,1),(33,1),(34,1),(35,1),(38,1),(64,1)}
        18:{1,2,6}:{(5,1),(7,1),(9,1),(41,1),(43,1),(104,1)}
        19:{3,4,7}:{(6,1),(12,1),(33,1),(35,1),(36,1),(46,1),(74,1)}
        20:{1,4,6}:{(6,1),(7,1),(36,1),(37,1),(92,1),(101,1)}
        21:{3,4,7}:{(8,1),(10,1),(33,1),(38,1),(39,1),(63,1),(85,1)}
        22:{2,4,6}:{(8,1),(9,1),(39,1),(40,1),(91,1),(100,1)}
        23:{1,5,7}:{(10,1),(38,1),(41,1),(70,1)}
        24:{3,6}:{(10,1),(11,1),(41,1)}
        25:{2,5,6}:{(11,1),(32,1),(40,1),(42,1),(91,1)}
        26:{2,5,7}:{(12,1),(35,1),(43,1),(68,1)}
        27:{3,6}:{(12,1),(13,1),(43,1)}
        28:{1,5,6}:{(13,1),(15,1),(37,1),(44,1),(92,1)}
        29:{2,6,7}:{(14,1),(43,1),(45,1)}
        30:{3,5,7}:{(14,1),(15,1),(44,1),(45,1),(46,1),(74,1)}
        31:{3,6,7}:{(16,1),(24,1),(47,1),(48,1)}
        32:{2,5,7}:{(16,1),(25,1),(48,1),(93,1)}
        33:{3,7}:{(17,1),(51,1)}
        34:{1,2,4,6}:{(17,1),(18,1),(20,1),(22,1),(51,1),(52,1),(53,1),(55,1),(76,1),(79,1),(94,1)}
        35:{2,4,7}:{(19,1),(26,1),(50,1),(53,1)}
        36:{3,4,6}:{(19,1),(20,1),(27,1),(51,1),(53,1),(54,1),(60,1),(79,1),(83,1),(96,1)}
        37:{1,5}:{(20,1),(54,1)}
        38:{1,4,7}:{(21,1),(23,1),(49,1),(55,1)}
        39:{3,4,6}:{(21,1),(22,1),(24,1),(51,1),(55,1),(56,1),(58,1),(79,1),(82,1),(95,1)}
        40:{2,5}:{(22,1),(56,1)}
        41:{1,6}:{(23,1),(24,1)}
        42:{3,5,6}:{(24,1),(25,1),(48,1),(56,1),(57,1),(58,1),(82,1)}
        43:{2,6}:{(26,1),(27,1)}
        44:{3,5,6}:{(27,1),(28,1),(30,1),(54,1),(59,1),(60,1),(83,1)}
        45:{2,5,7}:{(29,1),(30,1),(59,1),(61,1)}
        46:{4,7}:{(30,1),(60,1)}
        47:{1,6,7}:{(31,1),(41,1),(62,1)}
        48:{3,5,7}:{(31,1),(32,1),(42,1),(62,1),(63,1),(85,1)}
        49:{1,3,7}:{(33,1),(38,1),(64,1),(65,1),(85,1)}
        50:{2,3,7}:{(33,1),(35,1),(64,1),(66,1),(74,1)}
        51:{3,6}:{(33,1),(34,1),(67,1),(99,1)}
        52:{1,2,5}:{(34,1),(37,1),(40,1),(67,1),(68,1),(70,1)}
        53:{2,4,6}:{(35,1),(36,1),(43,1),(66,1),(68,1),(88,1)}
        54:{3,5}:{(36,1),(37,1),(68,1),(69,1)}
        55:{1,4,6}:{(38,1),(39,1),(41,1),(65,1),(70,1),(87,1)}
        56:{3,5}:{(39,1),(40,1),(70,1),(71,1)}
        57:{1,5,6}:{(41,1),(42,1),(62,1),(70,1),(72,1)}
        58:{4,6}:{(42,1),(63,1),(71,1)}
        59:{2,5,6}:{(43,1),(44,1),(45,1),(68,1),(73,1)}
        60:{4,6}:{(44,1),(46,1),(69,1)}
        61:{2,4,7}:{(45,1),(46,1),(73,1),(74,1)}
        62:{1,5,7}:{(47,1),(48,1),(57,1),(75,1)}
        63:{4,7}:{(48,1),(58,1)}
        64:{1,2,7}:{(49,1),(50,1),(76,1),(84,1),(93,1)}
        65:{1,3,6}:{(49,1),(51,1),(55,1),(76,1),(77,1),(82,1)}
        66:{2,3,6}:{(50,1),(51,1),(53,1),(76,1),(78,1),(83,1)}
        67:{3,5}:{(51,1),(52,1),(79,1)}
        68:{2,5}:{(53,1),(54,1)}
        69:{4,5}:{(54,1),(60,1),(79,1)}
        70:{1,5}:{(55,1),(56,1)}
        71:{4,5}:{(56,1),(58,1),(79,1)}
        72:{1,4,6}:{(57,1),(58,1),(75,1),(81,1),(82,1)}
        73:{2,4,6}:{(59,1),(60,1),(61,1),(80,1),(83,1)}
        74:{3,7}:{(61,1),(83,1),(84,1)}
        75:{1,4,7}:{(62,1),(63,1),(72,1),(85,1)}
        76:{1,2,6}:{(64,1),(65,1),(66,1),(86,1),(91,1),(92,1)}
        77:{1,3,5}:{(65,1),(67,1),(70,1),(86,1),(87,1),(90,1),(99,1)}
        78:{2,3,5}:{(66,1),(67,1),(68,1),(86,1),(88,1),(89,1),(99,1)}
        79:{4}:{(67,1)}
        80:{2,4,5}:{(68,1),(69,1),(73,1),(88,1),(89,1)}
        81:{1,4,5}:{(70,1),(71,1),(72,1),(87,1),(90,1)}
        82:{3,6}:{(72,1),(85,1),(90,1),(91,1)}
        83:{3,6}:{(73,1),(74,1),(89,1),(92,1)}
        84:{1,7}:{(74,1),(92,1)}
        85:{3,7}:{(75,1),(82,1),(93,1)}
        86:{1,2,5}:{(76,1),(77,1),(78,1),(94,1),(97,1),(98,1)}
        87:{1,4}:{(77,1),(79,1),(95,1)}
        88:{2,4}:{(78,1),(79,1),(96,1)}
        89:{3,5}:{(80,1),(83,1),(96,1),(97,1)}
        90:{3,5}:{(81,1),(82,1),(95,1),(98,1)}
        91:{2,6}:{(82,1),(93,1),(98,1)}
        92:{1,6}:{(83,1),(84,1),(97,1)}
        93:{2,7}:{(85,1),(91,1)}
        94:{1,2,4}:{(86,1),(87,1),(88,1),(99,1),(100,1),(101,1),(104,1)}
        95:{3,4}:{(87,1),(90,1),(99,1),(100,1)}
        96:{3,4}:{(88,1),(89,1),(99,1),(101,1)}
        97:{1,5}:{(89,1),(92,1),(101,1)}
        98:{2,5}:{(90,1),(91,1),(100,1)}
        99:{3}:{(94,1)}
       100:{2,4}:{(95,1),(98,1),(103,1)}
       101:{1,4}:{(96,1),(97,1),(102,1)}
       102:{1,3}:{(99,1),(101,1),(104,1)}
       103:{2,3}:{(99,1),(100,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

1271 :   0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(25,1),(29,1),(31,1),(52,1),(58,1),(79,1),(86,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(38,1),(69,1),(96,1),(102,1)}
         2:{1,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(74,1),(101,1)}
         3:{1,3,5,6}:{(2,1),(8,1),(9,1),(27,1),(29,1)}
         4:{2,3,6,7}:{(1,1),(10,1),(29,1),(111,1),(115,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(114,1)}
         6:{1,4,5,7}:{(2,1),(9,1),(12,1),(79,1),(87,1)}
         7:{1,3,5,6,7}:{(3,1),(13,1),(14,1),(35,1),(37,1),(63,1),(123,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(40,1),(74,1)}
         9:{1,4,6}:{(3,1),(6,1),(18,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(125,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(45,1),(47,1),(74,1),(96,1),(103,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(49,1),(81,1),(83,1),(112,1)}
        14:{1,4,6,7}:{(7,1),(9,1),(22,1),(25,1),(79,1),(131,1)}
        15:{1,4,5,6}:{(9,1),(22,1),(27,1)}
        16:{2,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(27,1),(29,1),(30,1)}
        19:{2,4,7}:{(10,1),(28,1),(31,1),(132,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(111,1),(116,1)}
        21:{2,4,5,7}:{(12,1),(30,1),(33,1),(49,1),(80,1),(88,1)}
        22:{1,4,5,7}:{(14,1),(15,1),(35,1),(136,1)}
        23:{2,3,5,6,7}:{(13,1),(16,1),(36,1),(37,1),(64,1),(66,1),(98,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(36,1),(37,1),(38,1),(67,1),(69,1),(96,1),(121,1)}
        25:{3,4,6,7}:{(14,1),(18,1),(35,1),(37,1),(38,1),(62,1),(135,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(39,1),(40,1),(41,1),(65,1),(71,1),(72,1),(73,1),(74,1),(97,1),(103,1),(121,1),(136,1),(139,1)}
        27:{3,5,6}:{(15,1),(18,1),(35,1),(40,1)}
        28:{2,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{2,4,6}:{(18,1),(21,1),(40,1),(44,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(45,1),(126,1)}
        32:{1,3,5,7}:{(20,1),(43,1),(45,1),(47,1),(74,1),(77,1),(105,1)}
        33:{2,3,5,7}:{(20,1),(21,1),(44,1),(46,1),(47,1),(75,1)}
        34:{1,2,4,5,7}:{(22,1),(24,1),(26,1),(48,1),(49,1),(50,1),(79,1),(80,1),(81,1),(83,1)}
        35:{3,5,7}:{(22,1),(25,1),(27,1),(49,1),(138,1)}
        36:{2,4,6,7}:{(23,1),(28,1),(50,1),(51,1),(80,1),(109,1)}
        37:{3,6,7}:{(24,1),(29,1),(48,1),(111,1),(129,1)}
        38:{2,4,6,7}:{(25,1),(30,1),(49,1),(53,1),(80,1),(137,1)}
        39:{3,5,6}:{(26,1),(29,1),(48,1),(54,1),(57,1),(116,1),(129,1),(138,1)}
        40:{2,5,6}:{(27,1),(30,1),(49,1)}
        41:{2,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(58,1)}
        43:{1,3,6}:{(29,1),(32,1),(58,1),(60,1)}
        44:{2,3,6}:{(29,1),(30,1),(33,1),(60,1)}
        45:{1,4,7}:{(31,1),(32,1),(58,1),(117,1)}
        46:{2,3,4,7}:{(31,1),(33,1),(59,1),(61,1),(80,1),(111,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(37,1),(39,1),(62,1)}
        49:{2,5,7}:{(35,1),(38,1),(40,1),(139,1)}
        50:{2,4,5,7}:{(36,1),(41,1),(65,1),(66,1)}
        51:{3,4,6,7}:{(36,1),(37,1),(42,1),(62,1),(66,1),(67,1),(93,1)}
        52:{1,3,6,7}:{(37,1),(43,1),(63,1),(67,1),(69,1),(118,1)}
        53:{2,3,6,7}:{(37,1),(38,1),(44,1),(64,1),(69,1),(133,1)}
        54:{3,4,6}:{(39,1),(62,1),(70,1),(71,1),(72,1),(104,1),(126,1)}
        55:{1,3,5,6}:{(39,1),(43,1),(63,1),(71,1),(73,1),(74,1),(97,1),(101,1),(104,1),(105,1),(118,1)}
        56:{2,3,5,6}:{(39,1),(40,1),(44,1),(64,1),(72,1),(73,1),(75,1),(104,1),(125,1),(133,1),(139,1)}
        57:{3,5}:{(41,1),(42,1),(74,1)}
        58:{1,4,6}:{(42,1),(43,1),(45,1),(74,1)}
        59:{2,3,4,6}:{(42,1),(44,1),(46,1),(72,1),(75,1),(76,1),(104,1),(126,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(54,1),(79,1),(80,1),(111,1)}
        63:{1,3,5,7}:{(48,1),(52,1),(55,1),(79,1),(81,1),(83,1),(111,1)}
        64:{2,3,5,7}:{(48,1),(49,1),(53,1),(56,1),(80,1),(81,1),(111,1)}
        65:{2,4,5,6}:{(50,1),(82,1),(109,1)}
        66:{3,5,7}:{(50,1),(51,1),(57,1),(82,1),(83,1)}
        67:{1,4,6,7}:{(51,1),(52,1),(58,1),(79,1),(83,1),(108,1)}
        68:{2,3,4,6,7}:{(51,1),(53,1),(59,1),(80,1),(84,1),(85,1),(109,1),(111,1),(129,1),(130,1),(137,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(60,1),(81,1),(127,1)}
        70:{3,4,5}:{(54,1),(57,1),(87,1),(88,1),(116,1),(138,1)}
        71:{1,4,6}:{(54,1),(55,1),(79,1),(87,1),(117,1)}
        72:{2,4,6}:{(54,1),(56,1),(80,1),(88,1),(132,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(60,1),(81,1),(89,1),(90,1),(114,1),(127,1)}
        74:{1,5}:{(57,1),(58,1)}
        75:{2,3,5}:{(57,1),(59,1),(88,1),(90,1),(116,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{1,3,7}:{(61,1),(91,1),(111,1)}
        78:{3,4,5,7}:{(62,1),(66,1),(70,1),(93,1),(94,1),(95,1),(122,1)}
        79:{1,4,7}:{(62,1),(63,1),(71,1)}
        80:{2,4,7}:{(62,1),(64,1),(72,1)}
        81:{1,2,5,7}:{(63,1),(64,1),(69,1),(73,1),(96,1)}
        82:{3,5,6}:{(65,1),(66,1),(93,1),(97,1)}
        83:{1,5,7}:{(66,1),(67,1),(74,1),(97,1)}
        84:{2,3,5,7}:{(66,1),(68,1),(75,1),(95,1),(98,1),(99,1),(122,1),(139,1)}
        85:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(96,1),(99,1),(100,1),(121,1),(124,1)}
        86:{1,3,4,6}:{(71,1),(92,1),(101,1),(102,1),(104,1),(118,1),(126,1),(135,1)}
        87:{1,4,5}:{(70,1),(71,1),(74,1),(101,1)}
        88:{2,4,5}:{(70,1),(72,1),(75,1),(139,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(73,1),(96,1),(103,1),(104,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{1,3,6}:{(76,1),(77,1),(104,1),(105,1)}
        92:{1,3,4,7}:{(79,1),(86,1),(106,1),(107,1),(111,1),(130,1)}
        93:{3,4,6}:{(78,1),(82,1),(108,1),(109,1),(129,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(106,1),(108,1)}
        95:{2,4,5,7}:{(78,1),(80,1),(84,1),(88,1),(109,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(89,1),(111,1)}
        97:{1,5,6}:{(82,1),(83,1),(108,1)}
        98:{2,3,5,6}:{(82,1),(84,1),(109,1),(112,1),(129,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(85,1),(90,1),(112,1),(113,1)}
       100:{1,3,6,7}:{(85,1),(91,1),(111,1),(113,1),(129,1)}
       101:{1,3,5}:{(86,1),(87,1),(114,1),(116,1),(138,1)}
       102:{1,2,4,6}:{(86,1),(107,1),(114,1),(115,1),(127,1),(132,1),(137,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(89,1),(90,1),(114,1),(116,1),(117,1),(132,1)}
       104:{3,6}:{(89,1),(111,1),(116,1)}
       105:{1,3,5}:{(90,1),(91,1),(116,1),(117,1)}
       106:{1,3,5,7}:{(92,1),(94,1),(101,1),(118,1),(119,1),(122,1)}
       107:{1,2,4,7}:{(92,1),(102,1),(119,1),(120,1),(134,1)}
       108:{1,4,6}:{(93,1),(94,1),(97,1),(118,1)}
       109:{2,4,6}:{(93,1),(95,1),(98,1)}
       110:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(103,1),(119,1),(121,1),(122,1),(124,1),(134,1),(136,1),(139,1)}
       111:{3,7}:{(96,1),(104,1)}
       112:{1,2,5,6}:{(97,1),(98,1),(99,1),(121,1),(123,1),(139,1)}
       113:{1,3,5,7}:{(99,1),(100,1),(105,1),(122,1),(123,1),(124,1)}
       114:{1,2,5}:{(101,1),(102,1),(125,1),(139,1)}
       115:{2,3,6}:{(102,1),(104,1),(120,1),(125,1)}
       116:{3,5}:{(103,1),(104,1),(126,1)}
       117:{1,4}:{(105,1),(126,1)}
       118:{1,3,6}:{(106,1),(108,1),(127,1),(129,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(114,1),(127,1),(128,1)}
       120:{2,3,7}:{(107,1),(111,1),(115,1)}
       121:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1),(131,1),(137,1)}
       122:{3,5,7}:{(110,1),(111,1),(116,1),(129,1),(130,1),(138,1)}
       123:{1,3,5,6}:{(112,1),(113,1),(129,1),(131,1),(138,1)}
       124:{1,4,7}:{(113,1),(117,1),(130,1),(131,1)}
       125:{2,3,5}:{(114,1),(115,1),(116,1),(132,1)}
       126:{3,4}:{(116,1),(117,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{2,3,5,7}:{(119,1),(120,1),(122,1),(125,1),(133,1),(134,1),(139,1)}
       129:{3,6}:{(121,1),(122,1)}
       130:{3,4,7}:{(122,1),(124,1),(126,1),(134,1),(135,1)}
       131:{1,4,6}:{(123,1),(124,1),(135,1),(136,1)}
       132:{2,4}:{(125,1),(126,1)}
       133:{2,3,6}:{(127,1),(128,1),(129,1),(137,1)}
       134:{2,4,7}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,4,6}:{(129,1),(130,1),(131,1),(137,1),(138,1)}
       136:{1,4,5}:{(131,1),(138,1)}
       137:{2,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1272 :   0:{2,3,4,6,7}:{(1,1),(2,1),(11,1),(18,1),(34,1),(36,1),(44,1),(67,1),(72,1),(95,1),(106,1)}
         1:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(21,1),(23,1),(30,1),(61,1),(90,1),(110,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(24,1),(27,1),(83,1),(109,1)}
         3:{2,3,5,6,7}:{(4,1),(8,1),(9,1),(27,1),(29,1),(56,1),(119,1)}
         4:{2,3,5,6}:{(2,1),(10,1),(11,1),(32,1),(34,1)}
         5:{1,3,6,7}:{(1,1),(12,1),(34,1),(106,1),(122,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(10,1),(12,1),(40,1),(121,1)}
         7:{2,4,5,7}:{(2,1),(11,1),(14,1),(72,1),(97,1)}
         8:{1,2,5,6,7}:{(3,1),(10,1),(16,1),(17,1),(40,1),(73,1),(76,1),(107,1)}
         9:{2,4,6,7}:{(3,1),(11,1),(15,1),(18,1),(72,1),(129,1)}
        10:{1,2,5,6}:{(4,1),(6,1),(20,1),(21,1),(46,1),(83,1)}
        11:{2,4,6}:{(4,1),(7,1),(22,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(24,1),(130,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(21,1),(23,1),(24,1),(25,1),(47,1),(52,1),(53,1),(83,1),(90,1),(111,1)}
        14:{3,4,5,7}:{(7,1),(22,1),(24,1),(25,1),(27,1),(54,1),(78,1)}
        15:{2,4,5,7}:{(9,1),(19,1),(27,1),(135,1)}
        16:{1,3,5,6,7}:{(8,1),(20,1),(28,1),(29,1),(55,1),(58,1),(91,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(21,1),(26,1),(28,1),(29,1),(30,1),(60,1),(61,1),(90,1),(117,1)}
        18:{3,4,6,7}:{(9,1),(22,1),(27,1),(29,1),(30,1),(54,1),(134,1)}
        19:{2,4,5,6}:{(11,1),(15,1),(32,1)}
        20:{1,3,5,6}:{(10,1),(12,1),(33,1),(34,1),(65,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(13,1),(33,1),(34,1),(35,1),(67,1),(68,1)}
        22:{3,4,6}:{(11,1),(14,1),(32,1),(34,1),(35,1)}
        23:{1,4,7}:{(12,1),(33,1),(36,1),(136,1)}
        24:{3,5,7}:{(13,1),(34,1),(36,1),(65,1),(106,1),(123,1)}
        25:{1,4,5,7}:{(14,1),(35,1),(37,1),(40,1),(71,1),(96,1)}
        26:{1,2,4,5,7}:{(15,1),(17,1),(31,1),(39,1),(40,1),(41,1),(71,1),(72,1),(73,1),(76,1)}
        27:{3,5,7}:{(15,1),(18,1),(32,1),(40,1),(138,1)}
        28:{1,4,6,7}:{(16,1),(33,1),(41,1),(42,1),(71,1),(103,1)}
        29:{3,6,7}:{(17,1),(34,1),(39,1),(106,1),(127,1)}
        30:{1,4,6,7}:{(18,1),(35,1),(40,1),(43,1),(71,1),(137,1)}
        31:{1,2,4,5,6}:{(19,1),(21,1),(26,1),(45,1),(46,1),(47,1),(57,1),(79,1),(80,1),(81,1),(83,1),(92,1),(111,1),(117,1),(135,1),(139,1)}
        32:{3,5,6}:{(19,1),(22,1),(27,1),(46,1)}
        33:{1,4,6}:{(20,1),(23,1),(47,1),(48,1)}
        34:{3,6}:{(21,1),(24,1)}
        35:{1,4,6}:{(22,1),(25,1),(46,1),(49,1)}
        36:{3,4,7}:{(23,1),(24,1),(48,1),(52,1),(131,1)}
        37:{1,3,5,7}:{(24,1),(25,1),(49,1),(51,1),(53,1),(82,1)}
        38:{2,3,5,7}:{(24,1),(50,1),(52,1),(53,1),(83,1),(85,1),(113,1)}
        39:{3,5,7}:{(26,1),(29,1),(45,1),(54,1)}
        40:{1,5,7}:{(27,1),(30,1),(46,1),(139,1)}
        41:{1,4,5,7}:{(28,1),(47,1),(57,1),(58,1)}
        42:{3,4,6,7}:{(28,1),(29,1),(48,1),(54,1),(58,1),(60,1),(87,1)}
        43:{1,3,6,7}:{(29,1),(30,1),(49,1),(55,1),(61,1),(132,1)}
        44:{2,3,6,7}:{(29,1),(50,1),(56,1),(60,1),(61,1),(114,1)}
        45:{3,5,6}:{(31,1),(34,1),(39,1),(62,1),(65,1),(123,1),(127,1),(138,1)}
        46:{1,5,6}:{(32,1),(35,1),(40,1)}
        47:{1,4,5}:{(33,1),(65,1)}
        48:{3,4,6}:{(33,1),(34,1),(36,1),(65,1),(67,1)}
        49:{1,3,6}:{(34,1),(35,1),(37,1),(68,1)}
        50:{2,3,6}:{(34,1),(38,1),(67,1),(68,1)}
        51:{1,3,4,7}:{(36,1),(37,1),(66,1),(69,1),(71,1),(106,1)}
        52:{2,4,7}:{(36,1),(38,1),(67,1),(124,1)}
        53:{1,2,5,7}:{(37,1),(38,1),(68,1),(69,1),(99,1)}
        54:{3,4,7}:{(39,1),(62,1),(71,1),(72,1),(106,1)}
        55:{1,3,5,7}:{(39,1),(40,1),(43,1),(63,1),(71,1),(73,1),(106,1)}
        56:{2,3,5,7}:{(39,1),(44,1),(64,1),(72,1),(73,1),(76,1),(106,1)}
        57:{1,4,5,6}:{(41,1),(74,1),(103,1)}
        58:{3,5,7}:{(41,1),(42,1),(65,1),(74,1),(76,1)}
        59:{1,3,4,6,7}:{(42,1),(43,1),(66,1),(71,1),(75,1),(77,1),(103,1),(106,1),(127,1),(128,1),(137,1)}
        60:{2,4,6,7}:{(42,1),(44,1),(67,1),(72,1),(76,1),(104,1)}
        61:{1,2,6,7}:{(43,1),(44,1),(68,1),(73,1),(125,1)}
        62:{3,4,6}:{(45,1),(54,1),(78,1),(79,1),(80,1),(112,1),(131,1)}
        63:{1,3,5,6}:{(45,1),(46,1),(49,1),(55,1),(79,1),(81,1),(82,1),(112,1),(130,1),(132,1),(139,1)}
        64:{2,3,5,6}:{(45,1),(50,1),(56,1),(80,1),(81,1),(83,1),(92,1),(109,1),(112,1),(113,1),(114,1)}
        65:{3,5}:{(47,1),(48,1),(83,1)}
        66:{1,3,4,6}:{(48,1),(49,1),(51,1),(79,1),(82,1),(84,1),(112,1),(131,1)}
        67:{2,4,6}:{(48,1),(50,1),(52,1),(83,1)}
        68:{1,2,6}:{(49,1),(50,1),(53,1)}
        69:{1,2,4,7}:{(51,1),(52,1),(53,1),(84,1),(85,1)}
        70:{3,4,5,7}:{(54,1),(58,1),(78,1),(87,1),(88,1),(89,1),(118,1)}
        71:{1,4,7}:{(54,1),(55,1),(79,1)}
        72:{2,4,7}:{(54,1),(56,1),(80,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(61,1),(81,1),(90,1)}
        74:{3,5,6}:{(57,1),(58,1),(87,1),(92,1)}
        75:{1,3,5,7}:{(58,1),(59,1),(82,1),(88,1),(91,1),(93,1),(118,1),(139,1)}
        76:{2,5,7}:{(58,1),(60,1),(83,1),(92,1)}
        77:{1,2,4,6,7}:{(59,1),(60,1),(61,1),(84,1),(90,1),(93,1),(94,1),(117,1),(120,1)}
        78:{3,4,5}:{(62,1),(65,1),(96,1),(97,1),(123,1),(138,1)}
        79:{1,4,6}:{(62,1),(63,1),(71,1),(96,1),(136,1)}
        80:{2,4,6}:{(62,1),(64,1),(72,1),(97,1),(124,1)}
        81:{1,2,5,6}:{(63,1),(64,1),(68,1),(73,1),(98,1),(99,1),(121,1),(125,1)}
        82:{1,3,5}:{(65,1),(66,1),(96,1),(99,1),(123,1)}
        83:{2,5}:{(65,1),(67,1)}
        84:{1,2,4,6}:{(66,1),(67,1),(68,1),(69,1),(99,1),(100,1),(124,1)}
        85:{2,3,7}:{(69,1),(100,1),(106,1)}
        86:{2,3,4,7}:{(72,1),(95,1),(101,1),(102,1),(106,1),(128,1)}
        87:{3,4,6}:{(70,1),(74,1),(103,1),(104,1),(127,1)}
        88:{1,4,5,7}:{(70,1),(71,1),(75,1),(96,1),(103,1)}
        89:{2,4,5,7}:{(70,1),(72,1),(76,1),(97,1),(101,1),(104,1)}
        90:{1,2,4,7}:{(71,1),(72,1),(73,1),(98,1),(106,1)}
        91:{1,3,5,6}:{(74,1),(75,1),(103,1),(107,1),(127,1)}
        92:{2,5,6}:{(74,1),(76,1),(104,1)}
        93:{1,2,5,7}:{(75,1),(76,1),(77,1),(99,1),(107,1),(108,1)}
        94:{2,3,6,7}:{(77,1),(100,1),(106,1),(108,1),(127,1)}
        95:{2,3,4,6}:{(80,1),(86,1),(109,1),(110,1),(112,1),(114,1),(131,1),(134,1)}
        96:{1,4,5}:{(78,1),(79,1),(82,1),(139,1)}
        97:{2,4,5}:{(78,1),(80,1),(83,1),(109,1)}
        98:{1,2,4,6}:{(79,1),(80,1),(81,1),(90,1),(111,1),(112,1)}
        99:{1,2,5}:{(82,1),(83,1),(84,1),(113,1)}
       100:{2,3,6}:{(84,1),(85,1),(112,1),(113,1)}
       101:{2,3,5,7}:{(86,1),(89,1),(109,1),(114,1),(115,1),(118,1)}
       102:{1,2,4,7}:{(86,1),(110,1),(115,1),(116,1),(133,1)}
       103:{1,4,6}:{(87,1),(88,1),(91,1)}
       104:{2,4,6}:{(87,1),(89,1),(92,1),(114,1)}
       105:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(93,1),(111,1),(115,1),(117,1),(118,1),(120,1),(133,1),(135,1),(139,1)}
       106:{3,7}:{(90,1),(112,1)}
       107:{1,2,5,6}:{(91,1),(92,1),(93,1),(117,1),(119,1),(139,1)}
       108:{2,3,5,7}:{(93,1),(94,1),(113,1),(118,1),(119,1),(120,1)}
       109:{2,3,5}:{(95,1),(97,1),(121,1),(123,1),(138,1)}
       110:{1,2,4,6}:{(95,1),(102,1),(121,1),(122,1),(125,1),(136,1),(137,1)}
       111:{1,2,4,5}:{(96,1),(97,1),(98,1),(99,1),(121,1),(123,1),(124,1),(136,1)}
       112:{3,6}:{(98,1),(106,1),(123,1)}
       113:{2,3,5}:{(99,1),(100,1),(123,1),(124,1)}
       114:{2,3,6}:{(101,1),(104,1),(125,1),(127,1)}
       115:{1,2,5,7}:{(101,1),(102,1),(121,1),(125,1),(126,1)}
       116:{1,3,7}:{(102,1),(106,1),(122,1)}
       117:{1,2,4,6}:{(103,1),(104,1),(105,1),(107,1),(125,1),(127,1),(129,1),(137,1)}
       118:{3,5,7}:{(105,1),(106,1),(123,1),(127,1),(128,1),(138,1)}
       119:{2,3,5,6}:{(107,1),(108,1),(127,1),(129,1),(138,1)}
       120:{2,4,7}:{(108,1),(124,1),(128,1),(129,1)}
       121:{1,2,5}:{(109,1),(110,1),(130,1),(139,1)}
       122:{1,3,6}:{(110,1),(112,1),(116,1),(130,1)}
       123:{3,5}:{(111,1),(112,1),(131,1)}
       124:{2,4}:{(113,1),(131,1)}
       125:{1,2,6}:{(114,1),(115,1),(132,1)}
       126:{1,3,5,7}:{(115,1),(116,1),(118,1),(130,1),(132,1),(133,1),(139,1)}
       127:{3,6}:{(117,1),(118,1)}
       128:{3,4,7}:{(118,1),(120,1),(131,1),(133,1),(134,1)}
       129:{2,4,6}:{(119,1),(120,1),(134,1),(135,1)}
       130:{1,3,5}:{(121,1),(122,1),(123,1),(136,1)}
       131:{3,4}:{(123,1),(124,1),(136,1)}
       132:{1,3,6}:{(125,1),(126,1),(127,1),(137,1)}
       133:{1,4,7}:{(126,1),(128,1),(136,1),(137,1)}
       134:{3,4,6}:{(127,1),(128,1),(129,1),(137,1),(138,1)}
       135:{2,4,5}:{(129,1),(138,1)}
       136:{1,4}:{(130,1),(131,1)}
       137:{1,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

1273 :   0:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(27,1),(29,1),(53,1),(66,1)}
         1:{2,3,5,6,7}:{(4,1),(6,1),(17,1),(28,1),(29,1),(50,1),(67,1)}
         2:{1,3,4,6,7}:{(7,1),(8,1),(14,1),(33,1),(48,1),(70,1),(78,1),(84,1),(107,1),(111,1),(119,1)}
         3:{2,3,4,6,7}:{(9,1),(10,1),(15,1),(35,1),(49,1),(73,1),(81,1),(85,1),(108,1),(112,1),(119,1)}
         4:{1,2,5,6,7}:{(0,1),(1,1),(13,1),(32,1),(34,1),(46,1),(47,1),(86,1)}
         5:{1,4,6,7}:{(0,1),(11,1),(14,1),(33,1),(72,1),(84,1)}
         6:{2,4,6,7}:{(1,1),(12,1),(15,1),(35,1),(69,1),(85,1)}
         7:{1,2,4,6,7}:{(2,1),(20,1),(21,1),(30,1),(51,1),(59,1),(68,1),(105,1),(125,1)}
         8:{1,3,5,7}:{(2,1),(16,1),(21,1),(22,1),(27,1),(60,1),(120,1),(123,1)}
         9:{1,2,4,6,7}:{(3,1),(23,1),(24,1),(31,1),(54,1),(62,1),(68,1),(105,1),(122,1)}
        10:{2,3,5,7}:{(3,1),(17,1),(24,1),(25,1),(28,1),(63,1),(121,1),(124,1)}
        11:{1,4,5,7}:{(5,1),(18,1),(27,1),(91,1)}
        12:{2,4,5,7}:{(6,1),(19,1),(28,1),(87,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(26,1),(29,1),(30,1),(31,1),(51,1),(54,1),(68,1),(105,1)}
        14:{3,4,6,7}:{(5,1),(27,1),(29,1),(30,1),(52,1),(65,1),(92,1)}
        15:{3,4,6,7}:{(6,1),(28,1),(29,1),(31,1),(55,1),(65,1),(88,1)}
        16:{1,3,5,6}:{(8,1),(32,1),(33,1),(37,1),(70,1)}
        17:{2,3,5,6}:{(10,1),(34,1),(35,1),(38,1),(73,1)}
        18:{1,4,5,6}:{(11,1),(33,1),(37,1)}
        19:{2,4,5,6}:{(12,1),(35,1),(38,1)}
        20:{2,3,6,7}:{(7,1),(39,1),(70,1),(119,1),(133,1)}
        21:{1,2,5,7}:{(7,1),(8,1),(32,1),(39,1),(46,1),(132,1)}
        22:{1,4,5,7}:{(8,1),(33,1),(41,1),(84,1),(114,1)}
        23:{1,3,6,7}:{(9,1),(42,1),(73,1),(119,1),(131,1)}
        24:{1,2,5,7}:{(9,1),(10,1),(34,1),(42,1),(47,1),(130,1)}
        25:{2,4,5,7}:{(10,1),(35,1),(44,1),(85,1),(115,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(36,1),(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        27:{3,5,7}:{(11,1),(14,1),(37,1),(46,1),(110,1)}
        28:{3,5,7}:{(12,1),(15,1),(38,1),(47,1),(106,1)}
        29:{3,6,7}:{(13,1),(45,1),(70,1),(73,1),(119,1)}
        30:{2,4,6,7}:{(14,1),(46,1),(49,1),(71,1),(85,1),(112,1)}
        31:{1,4,6,7}:{(15,1),(47,1),(48,1),(74,1),(84,1),(107,1)}
        32:{1,2,5,6}:{(16,1),(21,1),(50,1),(51,1),(57,1),(120,1)}
        33:{1,4,6}:{(16,1),(22,1),(52,1)}
        34:{1,2,5,6}:{(17,1),(24,1),(53,1),(54,1),(58,1),(124,1)}
        35:{2,4,6}:{(17,1),(25,1),(55,1)}
        36:{1,2,4,5,6}:{(18,1),(19,1),(26,1),(51,1),(54,1),(56,1),(57,1),(58,1),(87,1),(91,1),(96,1),(97,1),(98,1),(120,1),(124,1),(126,1)}
        37:{3,5,6}:{(18,1),(27,1),(52,1),(57,1)}
        38:{3,5,6}:{(19,1),(28,1),(55,1),(58,1)}
        39:{2,3,5,7}:{(20,1),(21,1),(50,1),(59,1),(60,1),(136,1)}
        40:{1,2,4,5,7}:{(21,1),(22,1),(51,1),(59,1),(60,1),(61,1),(87,1),(99,1),(101,1),(105,1),(120,1),(126,1)}
        41:{3,4,5,7}:{(22,1),(27,1),(52,1),(60,1),(61,1),(65,1),(95,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(53,1),(62,1),(63,1),(135,1)}
        43:{1,2,4,5,7}:{(24,1),(25,1),(54,1),(62,1),(63,1),(64,1),(91,1),(103,1),(104,1),(105,1),(124,1),(126,1)}
        44:{3,4,5,7}:{(25,1),(28,1),(55,1),(63,1),(64,1),(65,1),(95,1)}
        45:{3,5,7}:{(26,1),(29,1),(56,1),(65,1)}
        46:{2,5,7}:{(27,1),(30,1),(57,1),(124,1)}
        47:{1,5,7}:{(28,1),(31,1),(58,1),(120,1)}
        48:{1,3,6,7}:{(29,1),(31,1),(66,1),(68,1),(89,1),(93,1)}
        49:{2,3,6,7}:{(29,1),(30,1),(67,1),(68,1),(90,1),(94,1)}
        50:{2,3,5,6}:{(32,1),(39,1),(69,1),(70,1),(106,1)}
        51:{1,2,4,6}:{(32,1),(33,1),(40,1),(69,1),(70,1),(71,1),(107,1),(109,1)}
        52:{3,4,6}:{(33,1),(37,1),(41,1),(70,1),(71,1)}
        53:{1,3,5,6}:{(34,1),(42,1),(72,1),(73,1),(110,1)}
        54:{1,2,4,6}:{(34,1),(35,1),(43,1),(72,1),(73,1),(74,1),(112,1),(113,1)}
        55:{3,4,6}:{(35,1),(38,1),(44,1),(73,1),(74,1)}
        56:{3,5,6}:{(36,1),(45,1),(70,1),(73,1),(75,1),(106,1),(110,1),(134,1)}
        57:{2,5,6}:{(37,1),(46,1),(71,1)}
        58:{1,5,6}:{(38,1),(47,1),(74,1)}
        59:{2,4,7}:{(39,1),(69,1),(78,1),(139,1)}
        60:{3,5,7}:{(40,1),(70,1),(78,1),(106,1),(119,1),(134,1)}
        61:{2,4,5,7}:{(41,1),(46,1),(71,1),(80,1),(85,1),(115,1)}
        62:{1,4,7}:{(42,1),(72,1),(81,1),(138,1)}
        63:{3,5,7}:{(43,1),(73,1),(81,1),(110,1),(119,1),(134,1)}
        64:{1,4,5,7}:{(44,1),(47,1),(74,1),(82,1),(84,1),(114,1)}
        65:{3,4,7}:{(45,1),(75,1),(84,1),(85,1),(119,1)}
        66:{1,3,5,7}:{(45,1),(47,1),(48,1),(76,1),(84,1),(86,1),(119,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(49,1),(77,1),(85,1),(86,1),(119,1)}
        68:{1,2,6,7}:{(48,1),(49,1),(86,1),(109,1),(113,1)}
        69:{2,4,6}:{(50,1),(59,1),(87,1),(88,1)}
        70:{3,6}:{(51,1),(60,1)}
        71:{2,4,6}:{(52,1),(57,1),(61,1),(90,1)}
        72:{1,4,6}:{(53,1),(62,1),(91,1),(92,1)}
        73:{3,6}:{(54,1),(63,1)}
        74:{1,4,6}:{(55,1),(58,1),(64,1),(93,1)}
        75:{3,4,6}:{(56,1),(65,1),(95,1),(96,1),(97,1),(127,1),(137,1)}
        76:{1,3,5,6}:{(56,1),(58,1),(66,1),(89,1),(93,1),(96,1),(98,1),(120,1),(123,1),(127,1),(135,1)}
        77:{2,3,5,6}:{(56,1),(57,1),(67,1),(90,1),(94,1),(97,1),(98,1),(121,1),(124,1),(127,1),(136,1)}
        78:{3,4,7}:{(59,1),(60,1),(88,1),(99,1),(137,1)}
        79:{1,3,5,7}:{(60,1),(89,1),(99,1),(101,1),(120,1),(128,1),(135,1)}
        80:{2,3,5,7}:{(60,1),(61,1),(90,1),(100,1),(101,1),(121,1)}
        81:{3,4,7}:{(62,1),(63,1),(92,1),(103,1),(137,1)}
        82:{1,3,5,7}:{(63,1),(64,1),(93,1),(102,1),(104,1),(123,1)}
        83:{2,3,5,7}:{(63,1),(94,1),(103,1),(104,1),(124,1),(129,1),(136,1)}
        84:{1,4,7}:{(65,1),(66,1),(96,1)}
        85:{2,4,7}:{(65,1),(67,1),(97,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(98,1),(105,1)}
        87:{2,4,5}:{(69,1),(106,1)}
        88:{3,4,6}:{(69,1),(70,1),(78,1),(106,1),(107,1)}
        89:{1,3,6}:{(70,1),(79,1),(107,1),(109,1)}
        90:{2,3,6}:{(70,1),(71,1),(80,1),(109,1)}
        91:{1,4,5}:{(72,1),(110,1)}
        92:{3,4,6}:{(72,1),(73,1),(81,1),(110,1),(112,1)}
        93:{1,3,6}:{(73,1),(74,1),(82,1),(113,1)}
        94:{2,3,6}:{(73,1),(83,1),(112,1),(113,1)}
        95:{3,4,5}:{(75,1),(106,1),(110,1),(114,1),(115,1),(134,1)}
        96:{1,4,6}:{(75,1),(76,1),(84,1),(114,1),(138,1)}
        97:{2,4,6}:{(75,1),(77,1),(85,1),(115,1),(139,1)}
        98:{1,2,5,6}:{(76,1),(77,1),(86,1),(109,1),(113,1),(116,1),(130,1),(132,1)}
        99:{1,4,7}:{(78,1),(79,1),(107,1),(138,1)}
       100:{2,3,4,7}:{(78,1),(80,1),(85,1),(108,1),(117,1),(119,1)}
       101:{1,2,5,7}:{(79,1),(80,1),(109,1),(117,1),(130,1)}
       102:{1,3,4,7}:{(81,1),(82,1),(84,1),(111,1),(118,1),(119,1)}
       103:{2,4,7}:{(81,1),(83,1),(112,1),(139,1)}
       104:{1,2,5,7}:{(82,1),(83,1),(113,1),(118,1),(132,1)}
       105:{1,2,4,7}:{(84,1),(85,1),(86,1),(116,1),(119,1)}
       106:{3,5}:{(87,1),(88,1),(120,1)}
       107:{1,4,6}:{(88,1),(89,1),(99,1),(120,1)}
       108:{2,3,4,6}:{(88,1),(90,1),(97,1),(100,1),(121,1),(122,1),(127,1),(137,1)}
       109:{1,2,6}:{(89,1),(90,1),(101,1)}
       110:{3,5}:{(91,1),(92,1),(124,1)}
       111:{1,3,4,6}:{(92,1),(93,1),(96,1),(102,1),(123,1),(125,1),(127,1),(137,1)}
       112:{2,4,6}:{(92,1),(94,1),(103,1),(124,1)}
       113:{1,2,6}:{(93,1),(94,1),(104,1)}
       114:{1,4,5}:{(95,1),(96,1),(120,1),(123,1)}
       115:{2,4,5}:{(95,1),(97,1),(121,1),(124,1)}
       116:{1,2,4,6}:{(96,1),(97,1),(98,1),(105,1),(126,1),(127,1)}
       117:{1,2,4,7}:{(99,1),(100,1),(101,1),(122,1),(128,1)}
       118:{1,2,4,7}:{(102,1),(103,1),(104,1),(125,1),(129,1)}
       119:{3,7}:{(105,1),(127,1)}
       120:{1,5}:{(106,1),(107,1)}
       121:{2,3,5}:{(106,1),(108,1),(115,1),(130,1),(134,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(117,1),(130,1),(131,1),(138,1)}
       123:{1,3,5}:{(110,1),(111,1),(114,1),(132,1),(134,1)}
       124:{2,5}:{(110,1),(112,1)}
       125:{1,2,4,6}:{(111,1),(112,1),(113,1),(118,1),(132,1),(133,1),(139,1)}
       126:{1,2,4,5}:{(114,1),(115,1),(116,1),(130,1),(132,1),(134,1),(138,1),(139,1)}
       127:{3,6}:{(116,1),(119,1),(134,1)}
       128:{1,3,7}:{(117,1),(119,1),(131,1)}
       129:{2,3,7}:{(118,1),(119,1),(133,1)}
       130:{1,2,5}:{(120,1),(121,1),(122,1),(135,1)}
       131:{1,3,6}:{(122,1),(127,1),(128,1),(135,1)}
       132:{1,2,5}:{(123,1),(124,1),(125,1),(136,1)}
       133:{2,3,6}:{(125,1),(127,1),(129,1),(136,1)}
       134:{3,5}:{(126,1),(127,1),(137,1)}
       135:{1,3,5}:{(130,1),(131,1),(134,1),(138,1)}
       136:{2,3,5}:{(132,1),(133,1),(134,1),(139,1)}
       137:{3,4}:{(134,1),(138,1),(139,1)}
       138:{1,4}:{(135,1),(137,1)}
       139:{2,4}:{(136,1),(137,1)}

1274 :   0:{1,2,3,5,6}:{(1,1),(2,1),(7,1),(11,1),(36,1),(38,1),(40,1),(42,1),(44,1),(77,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(17,1),(24,1),(26,1),(56,1),(59,1),(61,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(51,1),(53,1)}
         3:{3,4,6}:{(2,1),(10,1),(11,1),(42,1)}
         4:{1,2,3,6,7}:{(1,1),(12,1),(42,1),(77,1),(79,1),(80,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(10,1),(72,1),(74,1)}
         6:{1,2,4,5}:{(2,1),(11,1),(31,1),(32,1),(36,1)}
         7:{1,2,3,6}:{(15,1),(17,1),(18,1),(85,1)}
         8:{2,3,4,6}:{(3,1),(18,1),(19,1),(20,1),(46,1),(51,1),(58,1),(83,1),(85,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(21,1),(22,1),(46,1),(53,1),(60,1),(83,1),(85,1)}
        10:{3,4,7}:{(3,1),(5,1),(24,1)}
        11:{3,5}:{(3,1),(6,1)}
        12:{1,2,4,6,7}:{(4,1),(5,1),(23,1),(26,1),(27,1),(90,1),(92,1)}
        13:{1,2,4,5,7}:{(5,1),(6,1),(24,1),(26,1),(27,1),(50,1),(52,1),(56,1),(62,1)}
        14:{1,2,4,5,6}:{(6,1),(25,1),(27,1),(28,1),(51,1),(53,1),(57,1),(89,1),(91,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(30,1),(36,1),(67,1)}
        16:{3,4,5}:{(11,1),(31,1),(32,1),(34,1),(67,1)}
        17:{1,2,3,7}:{(7,1),(35,1),(99,1)}
        18:{1,2,4,6}:{(7,1),(8,1),(9,1),(30,1),(35,1),(36,1),(77,1)}
        19:{2,3,4,7}:{(8,1),(10,1),(35,1),(37,1),(66,1),(72,1),(99,1)}
        20:{2,3,5}:{(8,1),(11,1),(31,1),(36,1),(67,1),(97,1)}
        21:{1,3,4,7}:{(9,1),(10,1),(35,1),(39,1),(66,1),(74,1),(99,1)}
        22:{1,3,5}:{(9,1),(11,1),(32,1),(36,1),(67,1),(97,1)}
        23:{3,4,6,7}:{(10,1),(12,1),(41,1),(42,1),(81,1)}
        24:{3,5,7}:{(10,1),(11,1),(13,1),(42,1)}
        25:{3,5,6}:{(11,1),(14,1),(34,1),(42,1),(43,1)}
        26:{1,2,5,7}:{(12,1),(41,1),(44,1),(102,1),(103,1)}
        27:{1,2,4,6}:{(13,1),(42,1),(44,1),(71,1),(73,1),(77,1),(81,1)}
        28:{1,2,4,5,7}:{(14,1),(43,1),(45,1),(72,1),(74,1),(78,1),(102,1),(103,1),(104,1)}
        29:{1,2,3,5,7}:{(15,1),(17,1),(47,1),(48,1),(56,1),(84,1),(86,1)}
        30:{1,2,4}:{(15,1),(46,1)}
        31:{2,4,5}:{(16,1),(20,1),(51,1),(105,1)}
        32:{1,4,5}:{(16,1),(22,1),(53,1),(105,1)}
        33:{3,4,5,7}:{(16,1),(24,1),(50,1),(52,1),(54,1),(55,1),(62,1),(84,1),(94,1),(105,1),(111,1)}
        34:{3,4,6}:{(16,1),(25,1),(51,1),(53,1),(55,1),(85,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(19,1),(21,1),(56,1)}
        36:{1,2,5}:{(18,1),(20,1),(22,1)}
        37:{2,3,5,7}:{(19,1),(20,1),(24,1),(50,1),(56,1),(58,1),(84,1)}
        38:{2,3,5,6}:{(20,1),(25,1),(51,1),(57,1),(58,1),(59,1),(85,1),(89,1),(106,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(24,1),(52,1),(56,1),(60,1),(84,1)}
        40:{1,3,5,6}:{(22,1),(25,1),(53,1),(57,1),(60,1),(61,1),(85,1),(91,1),(106,1)}
        41:{3,5,7}:{(23,1),(26,1),(62,1),(63,1)}
        42:{3,6}:{(24,1),(27,1)}
        43:{3,5,7}:{(25,1),(28,1),(55,1),(64,1)}
        44:{1,2,5,6}:{(26,1),(27,1),(63,1),(89,1),(91,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(64,1),(65,1),(90,1),(92,1),(95,1),(96,1)}
        46:{3,4}:{(30,1),(67,1)}
        47:{1,2,3,6}:{(29,1),(68,1),(77,1),(98,1)}
        48:{1,2,4,7}:{(29,1),(30,1),(66,1),(68,1)}
        49:{1,2,4,5}:{(30,1),(31,1),(32,1),(36,1),(67,1),(70,1)}
        50:{2,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(102,1)}
        51:{2,4,6}:{(31,1),(34,1),(38,1),(72,1),(109,1)}
        52:{1,4,5,7}:{(32,1),(33,1),(39,1),(73,1),(74,1),(103,1)}
        53:{1,4,6}:{(32,1),(34,1),(40,1),(74,1),(109,1)}
        54:{3,4,6}:{(33,1),(42,1),(71,1),(73,1),(75,1),(81,1),(98,1),(109,1)}
        55:{3,4,7}:{(34,1),(43,1),(72,1),(74,1),(99,1)}
        56:{1,2,5,7}:{(35,1),(36,1),(37,1),(39,1),(77,1)}
        57:{1,2,5,6}:{(36,1),(38,1),(40,1),(70,1),(77,1),(78,1)}
        58:{2,3,6}:{(37,1),(42,1),(71,1),(77,1),(98,1)}
        59:{2,3,5,7}:{(38,1),(43,1),(72,1),(78,1),(79,1),(99,1),(102,1),(110,1)}
        60:{1,3,6}:{(39,1),(42,1),(73,1),(77,1),(98,1)}
        61:{1,3,5,7}:{(40,1),(43,1),(74,1),(78,1),(80,1),(99,1),(103,1),(110,1)}
        62:{4,5,7}:{(41,1),(81,1)}
        63:{3,5,6}:{(41,1),(42,1),(44,1),(81,1)}
        64:{3,6,7}:{(42,1),(43,1),(45,1)}
        65:{1,2,5,6,7}:{(44,1),(45,1),(82,1),(102,1),(103,1)}
        66:{3,4,7}:{(46,1),(48,1),(83,1),(84,1),(111,1)}
        67:{3,5}:{(46,1),(49,1),(85,1)}
        68:{1,2,4,6}:{(47,1),(48,1),(83,1),(86,1)}
        69:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(52,1),(56,1),(84,1),(86,1),(87,1),(88,1),(105,1),(108,1),(111,1)}
        70:{1,2,4,6}:{(49,1),(51,1),(53,1),(57,1),(85,1),(88,1)}
        71:{2,4,6}:{(50,1),(54,1),(58,1),(89,1)}
        72:{2,4,7}:{(51,1),(55,1),(59,1),(111,1)}
        73:{1,4,6}:{(52,1),(54,1),(60,1),(91,1)}
        74:{1,4,7}:{(53,1),(55,1),(61,1),(111,1)}
        75:{3,5,6}:{(54,1),(89,1),(91,1),(93,1),(94,1)}
        76:{3,4,6,7}:{(54,1),(55,1),(64,1),(90,1),(92,1),(94,1),(96,1),(107,1),(111,1)}
        77:{1,2,6}:{(56,1),(58,1),(60,1)}
        78:{1,2,5,7}:{(57,1),(59,1),(61,1),(88,1),(95,1)}
        79:{2,3,6,7}:{(58,1),(59,1),(64,1),(90,1),(95,1),(107,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(64,1),(92,1),(95,1),(107,1)}
        81:{4,6}:{(62,1),(63,1)}
        82:{3,5,6,7}:{(63,1),(64,1),(65,1),(94,1),(96,1)}
        83:{3,4,6}:{(66,1),(68,1),(97,1),(98,1),(109,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(97,1),(98,1),(99,1)}
        85:{3,6}:{(67,1),(70,1),(99,1)}
        86:{1,2,5}:{(68,1),(97,1)}
        87:{1,2,4,6}:{(69,1),(71,1),(73,1),(77,1),(98,1),(100,1),(109,1)}
        88:{1,2,4,7}:{(70,1),(72,1),(74,1),(78,1),(99,1)}
        89:{2,5,6}:{(71,1),(75,1),(102,1)}
        90:{2,4,6,7}:{(71,1),(72,1),(76,1),(79,1),(102,1)}
        91:{1,5,6}:{(73,1),(75,1),(103,1)}
        92:{1,4,6,7}:{(73,1),(74,1),(76,1),(80,1),(103,1)}
        93:{4,5,6}:{(75,1),(81,1),(104,1),(109,1)}
        94:{3,5,7}:{(75,1),(76,1),(102,1),(103,1),(104,1)}
        95:{1,2,6,7}:{(77,1),(78,1),(79,1),(80,1)}
        96:{4,6,7}:{(81,1),(82,1),(104,1)}
        97:{3,5}:{(83,1),(86,1),(105,1)}
        98:{3,6}:{(84,1),(87,1)}
        99:{3,7}:{(85,1),(88,1)}
       100:{1,2,5,6}:{(86,1),(87,1),(89,1),(91,1),(106,1),(108,1)}
       101:{1,2,4,6,7}:{(87,1),(88,1),(90,1),(92,1),(95,1),(107,1),(108,1),(111,1)}
       102:{2,5,7}:{(89,1),(90,1),(94,1)}
       103:{1,5,7}:{(91,1),(92,1),(94,1)}
       104:{4,5,7}:{(93,1),(94,1),(96,1),(111,1)}
       105:{4,5}:{(97,1),(109,1)}
       106:{3,5,6}:{(97,1),(98,1),(100,1),(109,1),(110,1)}
       107:{3,6,7}:{(98,1),(99,1),(101,1),(110,1)}
       108:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1275 :   0:{1,2,3,6,7}:{(2,1),(3,1),(38,1),(75,1),(76,1),(77,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(11,1),(15,1),(38,1),(43,1),(44,1),(45,1),(46,1),(77,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(84,1),(85,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(23,1),(59,1),(60,1),(61,1),(62,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(53,1),(54,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(13,1),(32,1),(38,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(11,1),(94,1),(95,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(13,1),(71,1),(72,1)}
         8:{1,2,4,5}:{(4,1),(15,1),(35,1),(36,1),(45,1)}
         9:{3,4,6}:{(4,1),(13,1),(15,1),(38,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,5,6}:{(6,1),(18,1),(22,1),(82,1),(83,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(22,1),(23,1),(50,1),(51,1),(59,1)}
        13:{3,4,7}:{(7,1),(9,1),(23,1)}
        14:{1,2,4,5,6}:{(8,1),(22,1),(26,1),(27,1),(47,1),(53,1),(54,1),(63,1),(82,1),(83,1)}
        15:{3,5}:{(8,1),(9,1)}
        16:{1,3,4,6}:{(9,1),(24,1),(28,1),(30,1),(53,1),(57,1),(89,1),(90,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(25,1),(29,1),(30,1),(54,1),(58,1),(89,1),(90,1),(105,1)}
        18:{3,5,6}:{(10,1),(11,1),(32,1),(38,1)}
        19:{4,5,7}:{(10,1),(32,1)}
        20:{3,4,5}:{(15,1),(34,1),(35,1),(36,1),(74,1)}
        21:{1,2,5,6,7}:{(11,1),(31,1),(37,1),(94,1),(95,1)}
        22:{1,2,4,6}:{(11,1),(12,1),(32,1),(38,1),(68,1),(69,1),(77,1)}
        23:{3,5,7}:{(12,1),(13,1),(15,1),(38,1)}
        24:{1,3,4,7}:{(13,1),(16,1),(39,1),(41,1),(71,1),(99,1),(100,1)}
        25:{2,3,4,7}:{(13,1),(17,1),(40,1),(41,1),(72,1),(99,1),(100,1)}
        26:{1,2,4,5,7}:{(14,1),(37,1),(42,1),(65,1),(71,1),(72,1),(79,1),(94,1),(95,1)}
        27:{3,5,6}:{(14,1),(15,1),(34,1),(38,1),(42,1)}
        28:{1,3,5}:{(15,1),(16,1),(35,1),(45,1),(74,1),(109,1)}
        29:{2,3,5}:{(15,1),(17,1),(36,1),(45,1),(74,1),(109,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(41,1),(45,1),(46,1),(77,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(48,1),(56,1),(81,1)}
        32:{4,6}:{(18,1),(19,1)}
        33:{3,4,5,7}:{(19,1),(20,1),(23,1),(49,1),(50,1),(51,1),(52,1),(81,1),(87,1),(110,1),(111,1)}
        34:{3,4,6}:{(20,1),(27,1),(52,1),(53,1),(54,1),(89,1)}
        35:{1,4,5}:{(20,1),(28,1),(53,1),(111,1)}
        36:{2,4,5}:{(20,1),(29,1),(54,1),(111,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(26,1),(48,1),(56,1),(84,1),(85,1),(91,1)}
        38:{3,6}:{(22,1),(23,1)}
        39:{1,3,5,7}:{(23,1),(24,1),(28,1),(50,1),(57,1),(59,1),(87,1)}
        40:{2,3,5,7}:{(23,1),(25,1),(29,1),(51,1),(58,1),(59,1),(87,1)}
        41:{1,2,4,7}:{(24,1),(25,1),(30,1),(59,1),(60,1)}
        42:{3,5,7}:{(26,1),(27,1),(52,1),(56,1)}
        43:{1,3,5,6}:{(27,1),(28,1),(53,1),(57,1),(61,1),(63,1),(82,1),(89,1),(103,1)}
        44:{2,3,5,6}:{(27,1),(29,1),(54,1),(58,1),(62,1),(63,1),(83,1),(89,1),(103,1)}
        45:{1,2,5}:{(28,1),(29,1),(30,1)}
        46:{1,2,3,6}:{(30,1),(60,1),(64,1),(89,1)}
        47:{4,5,6}:{(32,1),(65,1),(66,1),(108,1)}
        48:{4,6,7}:{(31,1),(32,1),(65,1)}
        49:{3,4,6}:{(32,1),(33,1),(38,1),(66,1),(68,1),(69,1),(98,1),(108,1)}
        50:{1,4,5,7}:{(33,1),(35,1),(39,1),(68,1),(71,1),(94,1)}
        51:{2,4,5,7}:{(33,1),(36,1),(40,1),(69,1),(72,1),(95,1)}
        52:{3,4,7}:{(34,1),(42,1),(71,1),(72,1),(100,1)}
        53:{1,4,6}:{(34,1),(35,1),(43,1),(71,1),(108,1)}
        54:{2,4,6}:{(34,1),(36,1),(44,1),(72,1),(108,1)}
        55:{1,2,4,5}:{(35,1),(36,1),(45,1),(73,1),(74,1),(80,1)}
        56:{3,6,7}:{(37,1),(38,1),(42,1)}
        57:{1,3,6}:{(38,1),(39,1),(68,1),(77,1),(98,1)}
        58:{2,3,6}:{(38,1),(40,1),(69,1),(77,1),(98,1)}
        59:{1,2,5,7}:{(39,1),(40,1),(41,1),(45,1),(77,1)}
        60:{1,2,3,7}:{(41,1),(46,1),(100,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(71,1),(75,1),(79,1),(94,1),(100,1),(107,1)}
        62:{2,3,5,7}:{(42,1),(44,1),(72,1),(76,1),(79,1),(95,1),(100,1),(107,1)}
        63:{1,2,5,6}:{(43,1),(44,1),(45,1),(73,1),(77,1),(79,1)}
        64:{1,2,3,5}:{(45,1),(46,1),(74,1),(80,1)}
        65:{4,5,7}:{(47,1),(48,1),(81,1),(110,1)}
        66:{3,5,6}:{(47,1),(49,1),(81,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(48,1),(49,1),(52,1),(56,1),(81,1),(84,1),(85,1),(104,1),(110,1)}
        68:{1,4,6}:{(49,1),(50,1),(57,1),(82,1)}
        69:{2,4,6}:{(49,1),(51,1),(58,1),(83,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(55,1),(59,1),(86,1),(87,1),(88,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        71:{1,4,7}:{(52,1),(53,1),(61,1),(110,1)}
        72:{2,4,7}:{(52,1),(54,1),(62,1),(110,1)}
        73:{1,2,4,6}:{(53,1),(54,1),(55,1),(63,1),(88,1),(89,1)}
        74:{3,5}:{(55,1),(89,1),(90,1)}
        75:{1,3,6,7}:{(56,1),(57,1),(61,1),(84,1),(91,1),(104,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(62,1),(85,1),(91,1),(104,1)}
        77:{1,2,6}:{(57,1),(58,1),(59,1)}
        78:{1,2,3,5,7}:{(59,1),(60,1),(64,1),(87,1),(92,1),(93,1),(106,1)}
        79:{1,2,5,7}:{(61,1),(62,1),(63,1),(88,1),(91,1)}
        80:{1,2,4}:{(64,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(67,1),(94,1),(95,1)}
        82:{1,5,6}:{(66,1),(68,1),(94,1)}
        83:{2,5,6}:{(66,1),(69,1),(95,1)}
        84:{1,4,6,7}:{(67,1),(68,1),(71,1),(75,1),(94,1)}
        85:{2,4,6,7}:{(67,1),(69,1),(72,1),(76,1),(95,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(96,1),(98,1),(108,1)}
        87:{3,5,7}:{(70,1),(74,1),(98,1),(99,1),(100,1),(109,1)}
        88:{1,2,4,7}:{(71,1),(72,1),(73,1),(79,1),(100,1)}
        89:{3,6}:{(73,1),(74,1),(100,1)}
        90:{3,4}:{(74,1),(80,1)}
        91:{1,2,6,7}:{(75,1),(76,1),(77,1),(79,1)}
        92:{1,2,3,6}:{(77,1),(78,1),(98,1),(101,1)}
        93:{1,2,4,7}:{(78,1),(80,1),(99,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(84,1)}
        95:{2,5,7}:{(81,1),(83,1),(85,1)}
        96:{1,2,5,6}:{(82,1),(83,1),(86,1),(102,1),(103,1),(106,1)}
        97:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(102,1),(104,1),(110,1)}
        98:{3,6}:{(86,1),(87,1)}
        99:{3,4,7}:{(87,1),(90,1),(93,1),(105,1),(110,1)}
       100:{3,7}:{(88,1),(89,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(97,1),(107,1)}
       103:{3,5,6}:{(96,1),(98,1),(107,1),(108,1),(109,1)}
       104:{3,6,7}:{(97,1),(98,1),(100,1),(107,1)}
       105:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(103,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1276 :   0:{1,2,3,6,7}:{(2,1),(3,1),(36,1),(44,1),(80,1),(81,1),(82,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(4,1),(13,1),(17,1),(37,1),(44,1),(49,1),(81,1),(99,1),(104,1)}
         2:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(23,1),(26,1),(54,1),(61,1),(93,1),(94,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(7,1),(8,1),(27,1),(56,1),(67,1),(86,1),(95,1),(103,1)}
         4:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(26,1),(57,1),(66,1)}
         5:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(34,1),(38,1),(44,1),(71,1),(82,1),(100,1),(104,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(15,1),(36,1),(39,1),(44,1),(76,1),(77,1),(78,1),(80,1)}
         7:{1,2,4,7}:{(2,1),(12,1),(13,1),(72,1),(99,1),(100,1)}
         8:{1,2,5,7}:{(3,1),(4,1),(11,1),(15,1),(76,1),(83,1),(96,1)}
         9:{2,4,5,7}:{(4,1),(16,1),(17,1),(73,1),(99,1)}
        10:{2,3,5,6}:{(4,1),(15,1),(17,1),(44,1),(46,1)}
        11:{1,3,5,7}:{(5,1),(8,1),(19,1),(20,1),(26,1),(58,1),(85,1)}
        12:{1,2,4,6}:{(6,1),(7,1),(21,1),(22,1),(89,1),(90,1)}
        13:{3,4,7}:{(7,1),(21,1),(26,1),(87,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(19,1),(22,1),(26,1),(27,1),(30,1),(51,1),(61,1),(88,1),(103,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(20,1),(27,1),(65,1),(84,1)}
        16:{3,4,5,7}:{(9,1),(26,1),(30,1),(31,1),(55,1),(66,1),(91,1)}
        17:{2,4,6}:{(9,1),(10,1),(31,1)}
        18:{2,3,5,6,7}:{(10,1),(28,1),(32,1),(64,1),(66,1),(93,1)}
        19:{1,4,5,7}:{(11,1),(33,1),(34,1),(74,1),(100,1)}
        20:{1,3,5,6}:{(11,1),(15,1),(34,1),(44,1),(68,1)}
        21:{3,4,6}:{(12,1),(13,1),(39,1),(44,1)}
        22:{1,2,4,5}:{(12,1),(39,1),(73,1),(74,1),(76,1)}
        23:{1,2,3,7}:{(36,1),(41,1),(104,1)}
        24:{2,3,4,7}:{(13,1),(37,1),(41,1),(42,1),(99,1),(104,1)}
        25:{1,3,4,7}:{(13,1),(38,1),(41,1),(43,1),(100,1),(104,1)}
        26:{3,5,7}:{(13,1),(14,1),(39,1),(44,1),(97,1),(104,1)}
        27:{1,2,4,6}:{(14,1),(15,1),(17,1),(34,1),(44,1),(48,1),(70,1),(80,1)}
        28:{1,2,5,6,7}:{(15,1),(18,1),(35,1),(45,1),(83,1),(96,1),(101,1)}
        29:{2,4,5,6}:{(17,1),(46,1),(47,1)}
        30:{1,4,5,7}:{(16,1),(43,1),(48,1),(74,1),(83,1),(100,1)}
        31:{3,4,6}:{(16,1),(17,1),(44,1),(46,1),(48,1)}
        32:{2,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(99,1)}
        33:{3,4,5,7}:{(19,1),(26,1),(51,1),(52,1),(55,1),(85,1),(91,1)}
        34:{1,4,6}:{(19,1),(20,1),(52,1)}
        35:{1,3,5,6,7}:{(20,1),(28,1),(53,1),(64,1),(85,1),(94,1)}
        36:{1,2,3,6}:{(23,1),(54,1),(56,1),(102,1)}
        37:{2,3,4,6}:{(21,1),(24,1),(56,1),(57,1),(62,1),(87,1),(89,1),(102,1)}
        38:{1,3,4,6}:{(21,1),(25,1),(56,1),(58,1),(63,1),(87,1),(90,1),(102,1)}
        39:{3,5}:{(21,1),(22,1)}
        40:{1,2,4,5,6}:{(22,1),(27,1),(29,1),(50,1),(59,1),(60,1),(65,1),(84,1),(89,1),(90,1),(92,1)}
        41:{1,2,4,7}:{(23,1),(24,1),(25,1),(56,1),(61,1)}
        42:{2,3,5,7}:{(24,1),(26,1),(51,1),(57,1),(61,1),(62,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(30,1),(58,1),(61,1),(63,1)}
        44:{3,6}:{(26,1),(27,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(32,1),(53,1),(60,1),(64,1),(67,1),(86,1),(95,1),(103,1)}
        46:{3,5,6}:{(29,1),(31,1),(65,1),(66,1)}
        47:{2,4,5,7}:{(29,1),(32,1),(66,1)}
        48:{1,4,6}:{(30,1),(31,1),(63,1),(65,1)}
        49:{3,4,6,7}:{(31,1),(32,1),(64,1),(66,1),(67,1),(91,1)}
        50:{1,4,5,6}:{(34,1),(68,1),(69,1)}
        51:{2,4,5,7}:{(33,1),(42,1),(70,1),(73,1),(96,1),(99,1)}
        52:{3,4,6}:{(33,1),(34,1),(44,1),(68,1),(70,1)}
        53:{1,4,6,7}:{(34,1),(35,1),(69,1),(71,1),(100,1)}
        54:{1,2,3,5}:{(36,1),(72,1),(76,1),(97,1)}
        55:{3,4,5}:{(39,1),(73,1),(74,1),(75,1),(97,1)}
        56:{1,2,4,6}:{(36,1),(37,1),(38,1),(41,1),(72,1),(76,1),(80,1)}
        57:{2,3,5}:{(37,1),(39,1),(73,1),(76,1),(97,1)}
        58:{1,3,5}:{(38,1),(39,1),(74,1),(76,1),(97,1)}
        59:{3,5,6}:{(39,1),(40,1),(44,1),(75,1),(79,1)}
        60:{1,2,4,5,7}:{(40,1),(45,1),(47,1),(69,1),(79,1),(83,1),(96,1),(99,1),(100,1),(101,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(43,1),(76,1),(80,1)}
        62:{2,3,6}:{(42,1),(44,1),(70,1),(80,1)}
        63:{1,3,6}:{(43,1),(44,1),(48,1),(80,1)}
        64:{3,6,7}:{(44,1),(45,1),(79,1),(104,1)}
        65:{1,5,6}:{(46,1),(48,1),(83,1)}
        66:{3,5,7}:{(46,1),(47,1),(49,1),(83,1)}
        67:{1,4,6,7}:{(48,1),(49,1),(82,1),(83,1),(100,1)}
        68:{3,5,6}:{(50,1),(52,1),(84,1),(85,1)}
        69:{1,4,5,7}:{(50,1),(53,1),(85,1)}
        70:{2,4,6}:{(51,1),(52,1),(62,1),(84,1)}
        71:{3,4,6,7}:{(52,1),(53,1),(64,1),(85,1),(86,1),(91,1)}
        72:{1,2,4}:{(54,1),(87,1)}
        73:{2,4,5}:{(55,1),(57,1),(89,1)}
        74:{1,4,5}:{(55,1),(58,1),(90,1)}
        75:{3,4,6}:{(55,1),(59,1),(89,1),(90,1),(91,1),(102,1)}
        76:{1,2,5}:{(56,1),(57,1),(58,1)}
        77:{2,3,5,6}:{(57,1),(59,1),(62,1),(84,1),(89,1),(92,1),(93,1),(102,1)}
        78:{1,3,5,6}:{(58,1),(59,1),(63,1),(65,1),(90,1),(92,1),(94,1),(102,1)}
        79:{3,5,7}:{(59,1),(60,1),(64,1),(91,1)}
        80:{1,2,6}:{(61,1),(62,1),(63,1)}
        81:{2,3,6,7}:{(62,1),(64,1),(86,1),(93,1),(95,1)}
        82:{1,3,6,7}:{(63,1),(64,1),(67,1),(94,1),(95,1)}
        83:{1,5,7}:{(65,1),(66,1),(67,1)}
        84:{2,5,6}:{(68,1),(70,1),(96,1)}
        85:{3,5,7}:{(68,1),(69,1),(71,1),(96,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(81,1),(96,1),(99,1)}
        87:{3,4}:{(72,1),(97,1)}
        88:{1,2,4,5}:{(72,1),(73,1),(74,1),(76,1),(97,1),(98,1)}
        89:{2,4,6}:{(73,1),(75,1),(77,1),(99,1)}
        90:{1,4,6}:{(74,1),(75,1),(78,1),(100,1)}
        91:{3,4,7}:{(75,1),(79,1),(99,1),(100,1),(104,1)}
        92:{1,2,5,6}:{(76,1),(77,1),(78,1),(80,1),(98,1),(101,1)}
        93:{2,3,5,7}:{(77,1),(79,1),(81,1),(96,1),(99,1),(101,1),(104,1)}
        94:{1,3,5,7}:{(78,1),(79,1),(82,1),(83,1),(100,1),(101,1),(104,1)}
        95:{1,2,6,7}:{(80,1),(81,1),(82,1),(101,1)}
        96:{2,5,7}:{(84,1),(85,1),(86,1)}
        97:{3,5}:{(87,1),(88,1),(102,1)}
        98:{1,2,4,6}:{(88,1),(89,1),(90,1),(92,1),(102,1),(103,1)}
        99:{2,4,7}:{(89,1),(91,1),(93,1)}
       100:{1,4,7}:{(90,1),(91,1),(94,1)}
       101:{1,2,5,7}:{(92,1),(93,1),(94,1),(95,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1277 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(33,1),(80,1),(94,1),(97,1),(137,1),(146,1),(157,1)}
         1:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(21,1),(25,1),(60,1),(67,1),(70,1)}
         2:{2,3,4,6}:{(0,1),(6,1),(7,1),(71,1),(166,1),(174,1),(182,1)}
         3:{1,3,4,5,7}:{(8,1),(9,1),(13,1),(32,1),(46,1),(93,1),(138,1),(141,1),(146,1),(190,1)}
         4:{2,3,4,6,7}:{(2,1),(11,1),(12,1),(41,1),(90,1),(94,1),(154,1)}
         5:{1,3,5,7}:{(1,1),(13,1),(14,1),(46,1),(146,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(14,1),(15,1),(47,1)}
         7:{2,3,5,6}:{(2,1),(12,1),(15,1),(16,1),(48,1),(80,1),(199,1)}
         8:{1,2,4,5,7}:{(3,1),(18,1),(19,1),(21,1),(52,1),(60,1),(106,1),(109,1)}
         9:{1,3,4,6}:{(3,1),(19,1),(20,1),(110,1),(124,1),(174,1),(203,1)}
        10:{1,2,3,5,7}:{(5,1),(18,1),(21,1),(22,1),(60,1)}
        11:{1,2,4,6,7}:{(4,1),(6,1),(24,1),(25,1),(67,1)}
        12:{2,3,5,7}:{(4,1),(7,1),(25,1),(26,1),(68,1),(181,1)}
        13:{1,3,4,7}:{(5,1),(21,1),(27,1),(67,1),(115,1)}
        14:{1,3,6}:{(5,1),(6,1),(174,1)}
        15:{1,2,5,6}:{(6,1),(7,1),(25,1),(28,1),(60,1)}
        16:{2,4,5,6}:{(7,1),(26,1),(30,1),(109,1),(166,1)}
        17:{1,3,4,6,7}:{(9,1),(31,1),(32,1),(75,1),(134,1),(138,1),(187,1)}
        18:{2,3,5,7}:{(8,1),(33,1),(34,1),(80,1),(146,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(34,1),(35,1),(81,1)}
        20:{1,3,5,6}:{(9,1),(32,1),(35,1),(36,1),(46,1),(82,1),(208,1)}
        21:{1,2,4,7}:{(10,1),(13,1),(33,1),(38,1)}
        22:{1,2,3,6}:{(10,1),(14,1),(34,1),(38,1)}
        23:{2,3,5,6,7}:{(12,1),(40,1),(41,1),(88,1),(90,1),(136,1)}
        24:{1,3,6,7}:{(11,1),(14,1),(43,1),(90,1)}
        25:{1,2,5,7}:{(11,1),(12,1),(15,1),(43,1)}
        26:{2,4,5,7}:{(12,1),(16,1),(41,1),(45,1)}
        27:{1,3,4,6}:{(13,1),(14,1),(38,1),(46,1),(47,1),(87,1)}
        28:{1,3,5,6}:{(14,1),(15,1),(43,1),(46,1),(47,1),(48,1)}
        29:{1,2,4,5,6}:{(15,1),(16,1),(44,1),(47,1),(48,1),(49,1),(86,1),(99,1),(100,1),(145,1),(152,1),(199,1)}
        30:{3,4,5,6}:{(16,1),(45,1),(48,1),(49,1),(141,1),(189,1)}
        31:{1,2,4,6,7}:{(17,1),(19,1),(51,1),(52,1),(106,1)}
        32:{1,3,5,7}:{(17,1),(20,1),(52,1),(53,1),(107,1),(202,1)}
        33:{2,3,4,7}:{(18,1),(21,1),(54,1),(106,1),(115,1)}
        34:{2,3,6}:{(18,1),(19,1),(174,1)}
        35:{1,2,5,6}:{(19,1),(20,1),(52,1),(55,1),(60,1)}
        36:{1,4,5,6}:{(20,1),(53,1),(57,1),(70,1),(124,1)}
        37:{1,2,3,6,7}:{(22,1),(24,1),(51,1),(58,1),(59,1),(123,1),(164,1),(174,1),(206,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(27,1),(54,1),(60,1)}
        39:{1,2,3,5,6}:{(22,1),(28,1),(55,1),(59,1),(60,1),(61,1),(73,1),(111,1),(113,1),(116,1),(174,1),(178,1),(179,1),(206,1)}
        40:{1,2,5,6,7}:{(23,1),(25,1),(63,1),(64,1),(113,1),(119,1),(181,1)}
        41:{2,4,6,7}:{(23,1),(26,1),(65,1),(166,1)}
        42:{1,3,4,6,7}:{(24,1),(27,1),(58,1),(66,1),(67,1),(115,1),(121,1),(124,1),(174,1)}
        43:{1,3,5,7}:{(24,1),(25,1),(28,1),(67,1),(68,1)}
        44:{1,2,4,5,7}:{(25,1),(26,1),(29,1),(64,1),(67,1),(68,1),(69,1),(120,1),(127,1),(128,1),(181,1)}
        45:{3,4,5,7}:{(26,1),(30,1),(65,1),(68,1),(69,1)}
        46:{1,3,5}:{(27,1),(60,1),(70,1),(116,1)}
        47:{1,4,6}:{(28,1),(67,1),(70,1),(71,1)}
        48:{3,5,6}:{(29,1),(68,1),(71,1),(116,1),(174,1)}
        49:{1,4,5,6}:{(30,1),(69,1),(72,1),(171,1),(203,1)}
        50:{1,3,5,6,7}:{(32,1),(74,1),(75,1),(92,1),(132,1),(134,1)}
        51:{2,3,6,7}:{(31,1),(34,1),(77,1),(134,1)}
        52:{1,2,5,7}:{(31,1),(32,1),(35,1),(77,1)}
        53:{1,4,5,7}:{(32,1),(36,1),(75,1),(79,1)}
        54:{2,3,4,6}:{(33,1),(34,1),(38,1),(80,1),(81,1),(87,1)}
        55:{2,3,5,6}:{(34,1),(35,1),(77,1),(80,1),(81,1),(82,1)}
        56:{1,2,4,5,6}:{(35,1),(36,1),(78,1),(81,1),(82,1),(83,1),(86,1),(142,1),(144,1),(145,1),(185,1),(208,1)}
        57:{3,4,5,6}:{(36,1),(79,1),(82,1),(83,1),(97,1),(156,1)}
        58:{1,2,4,6,7}:{(37,1),(38,1),(42,1),(76,1),(84,1),(85,1),(145,1),(154,1),(187,1)}
        59:{1,2,3,5,7}:{(37,1),(39,1),(43,1),(77,1),(84,1),(85,1),(96,1),(139,1),(146,1),(196,1),(197,1)}
        60:{1,2,5}:{(38,1),(46,1),(80,1)}
        61:{1,2,4,6}:{(39,1),(47,1),(81,1),(85,1),(86,1),(87,1),(99,1),(142,1)}
        62:{2,4,5,6,7}:{(41,1),(88,1),(185,1)}
        63:{1,3,5,6,7}:{(40,1),(43,1),(89,1),(90,1),(92,1),(153,1)}
        64:{1,2,4,6,7}:{(40,1),(41,1),(44,1),(89,1),(90,1),(91,1),(145,1),(154,1),(155,1)}
        65:{3,4,6,7}:{(41,1),(45,1),(88,1),(90,1),(91,1),(189,1)}
        66:{1,3,5,7}:{(42,1),(46,1),(84,1),(92,1),(93,1),(146,1),(153,1)}
        67:{1,4,7}:{(43,1),(47,1),(94,1)}
        68:{3,5,7}:{(44,1),(48,1),(90,1),(94,1)}
        69:{1,4,5,7}:{(45,1),(49,1),(91,1),(95,1)}
        70:{1,4,5}:{(46,1),(47,1),(97,1)}
        71:{3,4,6}:{(47,1),(48,1),(94,1),(97,1),(99,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(95,1),(98,1),(100,1),(149,1),(194,1)}
        73:{2,3,5,6}:{(48,1),(96,1),(99,1),(100,1),(150,1),(160,1),(195,1),(199,1)}
        74:{1,2,5,6,7}:{(50,1),(52,1),(102,1),(103,1),(113,1),(161,1),(202,1)}
        75:{1,4,6,7}:{(50,1),(53,1),(104,1),(124,1)}
        76:{2,3,4,6,7}:{(51,1),(54,1),(58,1),(105,1),(106,1),(115,1),(163,1),(166,1),(174,1)}
        77:{2,3,5,7}:{(51,1),(52,1),(55,1),(106,1),(107,1)}
        78:{1,2,4,5,7}:{(52,1),(53,1),(56,1),(103,1),(106,1),(107,1),(108,1),(162,1),(168,1),(170,1),(202,1)}
        79:{3,4,5,7}:{(53,1),(57,1),(104,1),(107,1),(108,1)}
        80:{2,3,5}:{(54,1),(60,1),(109,1),(116,1)}
        81:{2,4,6}:{(55,1),(106,1),(109,1),(110,1)}
        82:{3,5,6}:{(56,1),(107,1),(110,1),(116,1),(174,1)}
        83:{2,4,5,6}:{(57,1),(108,1),(112,1),(130,1),(182,1)}
        84:{1,2,5,7}:{(58,1),(60,1),(66,1),(105,1),(113,1),(181,1),(202,1)}
        85:{1,2,4,7}:{(59,1),(61,1),(67,1),(106,1),(115,1),(127,1),(168,1)}
        86:{1,2,4,5}:{(60,1),(61,1),(70,1),(109,1),(116,1),(130,1),(171,1),(178,1)}
        87:{3,4,6}:{(61,1),(115,1),(116,1),(174,1)}
        88:{3,5,6,7}:{(62,1),(65,1),(119,1),(201,1)}
        89:{1,4,6,7}:{(63,1),(67,1),(120,1),(121,1),(124,1)}
        90:{3,6,7}:{(64,1),(68,1),(174,1)}
        91:{1,4,6,7}:{(65,1),(69,1),(119,1),(122,1),(203,1)}
        92:{1,3,5,6}:{(66,1),(113,1),(124,1),(174,1),(180,1)}
        93:{1,4,5,7}:{(66,1),(67,1),(70,1),(124,1),(125,1)}
        94:{3,4,7}:{(67,1),(68,1),(71,1),(127,1)}
        95:{1,3,5,7}:{(68,1),(69,1),(72,1),(122,1),(126,1),(128,1)}
        96:{2,3,5,7}:{(68,1),(73,1),(123,1),(127,1),(128,1),(181,1),(183,1)}
        97:{3,4,5}:{(70,1),(71,1),(116,1),(130,1)}
        98:{1,3,4,6}:{(71,1),(72,1),(126,1),(129,1),(131,1)}
        99:{2,4,6}:{(71,1),(73,1),(127,1),(130,1)}
       100:{1,2,5,6}:{(72,1),(73,1),(128,1),(131,1),(178,1),(206,1)}
       101:{1,4,5,6,7}:{(75,1),(132,1),(152,1)}
       102:{2,3,5,6,7}:{(74,1),(77,1),(133,1),(134,1),(136,1),(186,1)}
       103:{1,2,4,6,7}:{(74,1),(75,1),(78,1),(133,1),(134,1),(135,1),(145,1),(187,1),(188,1)}
       104:{3,4,6,7}:{(75,1),(79,1),(132,1),(134,1),(135,1),(156,1)}
       105:{2,3,5,7}:{(76,1),(80,1),(84,1),(136,1),(137,1),(146,1),(186,1)}
       106:{2,4,7}:{(77,1),(81,1),(138,1)}
       107:{3,5,7}:{(78,1),(82,1),(134,1),(138,1)}
       108:{2,4,5,7}:{(79,1),(83,1),(135,1),(140,1)}
       109:{2,4,5}:{(80,1),(81,1),(141,1)}
       110:{3,4,6}:{(81,1),(82,1),(138,1),(141,1),(142,1)}
       111:{1,3,5,6}:{(82,1),(139,1),(142,1),(144,1),(149,1),(193,1),(194,1),(208,1)}
       112:{2,3,5,6}:{(82,1),(83,1),(140,1),(143,1),(144,1),(150,1),(195,1)}
       113:{1,2,5,6}:{(84,1),(92,1),(136,1),(145,1),(199,1),(208,1)}
       114:{1,2,4,5,7}:{(84,1),(85,1),(86,1),(93,1),(137,1),(145,1),(146,1),(157,1),(190,1),(196,1)}
       115:{3,4,7}:{(85,1),(87,1),(146,1)}
       116:{3,5}:{(86,1),(87,1)}
       117:{1,3,4,6}:{(87,1),(142,1),(147,1),(149,1),(151,1),(193,1),(194,1),(209,1)}
       118:{2,3,4,6}:{(87,1),(99,1),(148,1),(150,1),(151,1),(160,1),(195,1),(200,1)}
       119:{1,5,6,7}:{(88,1),(91,1),(208,1)}
       120:{1,4,5,7}:{(89,1),(152,1),(153,1)}
       121:{3,4,6,7}:{(89,1),(90,1),(94,1),(153,1),(154,1),(156,1)}
       122:{1,3,6,7}:{(90,1),(91,1),(95,1),(155,1),(194,1)}
       123:{2,3,6,7}:{(90,1),(96,1),(154,1),(155,1),(195,1)}
       124:{1,4,6}:{(92,1),(93,1),(156,1)}
       125:{3,4,5,7}:{(93,1),(94,1),(97,1),(146,1),(153,1),(156,1),(157,1)}
       126:{1,3,4,7}:{(94,1),(95,1),(98,1),(158,1)}
       127:{2,4,7}:{(94,1),(96,1),(99,1)}
       128:{1,2,5,7}:{(95,1),(96,1),(100,1),(155,1),(158,1)}
       129:{1,3,4,5}:{(97,1),(98,1),(149,1),(159,1),(209,1)}
       130:{2,4,5}:{(97,1),(99,1),(150,1)}
       131:{1,2,4,6}:{(98,1),(99,1),(100,1),(158,1),(159,1),(160,1)}
       132:{3,5,6,7}:{(101,1),(104,1),(161,1),(180,1)}
       133:{2,4,6,7}:{(102,1),(106,1),(162,1),(163,1),(166,1)}
       134:{3,6,7}:{(103,1),(107,1),(174,1)}
       135:{2,4,6,7}:{(104,1),(108,1),(161,1),(165,1),(182,1)}
       136:{2,3,5,6}:{(105,1),(113,1),(166,1),(174,1),(201,1)}
       137:{2,4,5,7}:{(105,1),(106,1),(109,1),(166,1),(167,1)}
       138:{3,4,7}:{(106,1),(107,1),(110,1),(168,1)}
       139:{1,3,5,7}:{(107,1),(111,1),(164,1),(168,1),(170,1),(202,1),(204,1)}
       140:{2,3,5,7}:{(107,1),(108,1),(112,1),(165,1),(169,1),(170,1)}
       141:{3,4,5}:{(109,1),(110,1),(116,1),(171,1)}
       142:{1,4,6}:{(110,1),(111,1),(168,1),(171,1)}
       143:{2,3,4,6}:{(110,1),(112,1),(169,1),(172,1),(173,1)}
       144:{1,2,5,6}:{(111,1),(112,1),(170,1),(173,1),(178,1),(206,1)}
       145:{1,2,4,6}:{(113,1),(114,1),(124,1),(166,1),(174,1),(182,1),(203,1),(206,1)}
       146:{3,5,7}:{(114,1),(115,1),(116,1),(174,1)}
       147:{1,3,4,7}:{(115,1),(117,1),(168,1),(175,1),(177,1),(204,1)}
       148:{2,3,4,7}:{(115,1),(118,1),(127,1),(176,1),(177,1),(183,1)}
       149:{1,3,5}:{(116,1),(117,1),(171,1),(178,1)}
       150:{2,3,5}:{(116,1),(118,1),(130,1),(178,1)}
       151:{1,2,4,6}:{(117,1),(118,1),(177,1),(178,1),(179,1),(206,1),(207,1)}
       152:{1,4,5,6}:{(120,1),(124,1),(180,1)}
       153:{3,5,7}:{(120,1),(121,1),(180,1),(181,1)}
       154:{2,4,6,7}:{(121,1),(123,1),(127,1),(181,1),(182,1)}
       155:{1,2,6,7}:{(122,1),(123,1),(128,1),(206,1)}
       156:{3,4,6}:{(124,1),(125,1),(174,1),(180,1),(182,1)}
       157:{2,4,5,7}:{(125,1),(127,1),(130,1),(176,1),(181,1),(182,1)}
       158:{1,2,4,7}:{(126,1),(127,1),(128,1),(131,1),(183,1)}
       159:{1,2,4,5}:{(129,1),(130,1),(131,1),(178,1),(184,1),(207,1)}
       160:{2,3,6}:{(131,1),(183,1),(184,1)}
       161:{2,5,6,7}:{(132,1),(135,1),(199,1)}
       162:{2,4,5,7}:{(133,1),(185,1),(186,1)}
       163:{3,4,6,7}:{(133,1),(134,1),(138,1),(186,1),(187,1),(189,1)}
       164:{1,3,6,7}:{(134,1),(139,1),(187,1),(188,1),(194,1)}
       165:{2,3,6,7}:{(134,1),(135,1),(140,1),(188,1),(195,1)}
       166:{2,4,6}:{(136,1),(137,1),(189,1)}
       167:{3,4,5,7}:{(137,1),(138,1),(141,1),(146,1),(186,1),(189,1),(190,1)}
       168:{1,4,7}:{(138,1),(139,1),(142,1)}
       169:{2,3,4,7}:{(138,1),(140,1),(143,1),(191,1)}
       170:{1,2,5,7}:{(139,1),(140,1),(144,1),(188,1),(191,1)}
       171:{1,4,5}:{(141,1),(142,1),(149,1)}
       172:{2,3,4,5}:{(141,1),(143,1),(150,1),(192,1),(200,1)}
       173:{1,2,4,6}:{(142,1),(143,1),(144,1),(191,1),(192,1),(193,1)}
       174:{3,6}:{(145,1),(146,1)}
       175:{1,3,5,7}:{(146,1),(147,1),(149,1),(190,1),(194,1),(196,1)}
       176:{2,3,5,7}:{(146,1),(148,1),(150,1),(157,1),(195,1),(196,1)}
       177:{1,2,4,7}:{(147,1),(148,1),(151,1),(196,1),(197,1)}
       178:{1,2,5}:{(149,1),(150,1),(151,1)}
       179:{1,2,3,6}:{(151,1),(160,1),(193,1),(197,1),(198,1)}
       180:{3,5,6}:{(152,1),(153,1),(156,1),(199,1)}
       181:{2,5,7}:{(153,1),(154,1),(199,1)}
       182:{2,4,6}:{(156,1),(157,1),(195,1),(199,1)}
       183:{2,3,7}:{(158,1),(160,1)}
       184:{2,3,5}:{(159,1),(160,1),(200,1)}
       185:{2,4,5,6}:{(162,1),(166,1),(201,1)}
       186:{3,5,7}:{(162,1),(163,1),(201,1),(202,1)}
       187:{1,4,6,7}:{(163,1),(164,1),(168,1),(202,1),(203,1)}
       188:{1,2,6,7}:{(164,1),(165,1),(170,1),(206,1)}
       189:{3,4,6}:{(166,1),(167,1),(174,1),(201,1),(203,1)}
       190:{1,4,5,7}:{(167,1),(168,1),(171,1),(175,1),(202,1),(203,1)}
       191:{1,2,4,7}:{(168,1),(169,1),(170,1),(173,1),(204,1)}
       192:{1,2,4,5}:{(171,1),(172,1),(173,1),(178,1),(205,1),(207,1)}
       193:{1,3,6}:{(173,1),(204,1),(205,1)}
       194:{1,3,6}:{(174,1),(175,1),(203,1),(206,1)}
       195:{2,3,6}:{(174,1),(176,1),(182,1),(206,1)}
       196:{1,2,5,7}:{(175,1),(176,1),(177,1),(178,1),(206,1)}
       197:{1,2,3,7}:{(177,1),(179,1),(183,1),(204,1)}
       198:{1,2,3,5}:{(178,1),(179,1),(184,1),(205,1),(207,1)}
       199:{2,5,6}:{(180,1),(181,1),(182,1)}
       200:{2,3,4}:{(184,1),(207,1)}
       201:{3,5,6}:{(185,1),(186,1),(189,1),(208,1)}
       202:{1,5,7}:{(186,1),(187,1),(208,1)}
       203:{1,4,6}:{(189,1),(190,1),(194,1),(208,1)}
       204:{1,3,7}:{(191,1),(193,1)}
       205:{1,3,5}:{(192,1),(193,1),(209,1)}
       206:{1,2,6}:{(194,1),(195,1),(196,1)}
       207:{1,2,4}:{(198,1),(200,1),(209,1)}
       208:{1,5,6}:{(201,1),(202,1),(203,1)}
       209:{1,3,4}:{(205,1),(207,1)}

1278 :   0:{2,3,4,5}:{(1,1),(2,1),(47,1),(111,1),(130,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(95,1)}
         2:{1,2,4,5}:{(0,1),(7,1),(8,1),(26,1),(85,1),(98,1)}
         3:{1,3,4,5}:{(9,1),(10,1),(19,1),(66,1),(171,1)}
         4:{3,4,5,6}:{(12,1),(13,1),(14,1),(61,1),(171,1),(214,1),(222,1)}
         5:{2,3,5,6}:{(1,1),(14,1),(15,1),(16,1),(61,1),(111,1),(174,1)}
         6:{2,3,4,7}:{(1,1),(15,1),(17,1),(129,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(18,1),(64,1)}
         8:{1,3,5}:{(2,1),(18,1),(19,1)}
         9:{1,3,4,6}:{(3,1),(21,1),(22,1),(23,1),(141,1)}
        10:{1,2,4,5}:{(3,1),(23,1),(24,1),(26,1),(85,1),(144,1)}
        11:{1,2,3,5}:{(8,1),(24,1),(25,1),(26,1),(85,1)}
        12:{3,4,5,7}:{(4,1),(31,1),(32,1),(33,1),(94,1),(208,1)}
        13:{1,4,5,6}:{(4,1),(29,1),(32,1),(193,1),(224,1)}
        14:{2,4,5,6}:{(4,1),(5,1),(33,1),(144,1),(198,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(33,1),(35,1),(36,1),(94,1)}
        16:{1,2,5,6}:{(5,1),(7,1),(36,1),(37,1),(85,1),(155,1)}
        17:{1,2,4,7}:{(6,1),(7,1),(36,1),(38,1),(97,1)}
        18:{1,3,6}:{(7,1),(8,1),(38,1)}
        19:{1,3,4}:{(8,1),(26,1)}
        20:{3,4,5,6}:{(40,1),(41,1),(42,1),(106,1),(130,1),(189,1),(230,1)}
        21:{1,3,5,6}:{(9,1),(41,1),(43,1),(44,1),(66,1),(106,1),(133,1)}
        22:{1,3,4,7}:{(9,1),(43,1),(45,1),(170,1)}
        23:{1,2,4,6}:{(9,1),(10,1),(44,1),(45,1),(46,1),(109,1)}
        24:{2,3,5}:{(10,1),(46,1),(47,1)}
        25:{1,2,3,6}:{(11,1),(18,1),(46,1),(51,1),(52,1)}
        26:{1,2,4}:{(11,1),(19,1),(47,1)}
        27:{1,3,4,5}:{(48,1),(53,1),(123,1),(130,1),(180,1)}
        28:{2,3,4,5}:{(49,1),(54,1),(122,1),(171,1),(178,1)}
        29:{1,3,5,6}:{(13,1),(48,1),(55,1),(56,1),(61,1),(180,1),(218,1)}
        30:{4,5,6,7}:{(57,1),(187,1),(230,1)}
        31:{3,4,6,7}:{(12,1),(57,1),(58,1),(59,1),(128,1),(187,1),(214,1)}
        32:{1,4,5,7}:{(12,1),(13,1),(55,1),(58,1)}
        33:{2,4,5,7}:{(12,1),(14,1),(15,1),(59,1)}
        34:{1,2,4,5,6}:{(13,1),(14,1),(16,1),(56,1),(60,1),(61,1),(64,1),(119,1),(126,1),(184,1),(190,1),(221,1),(222,1)}
        35:{2,3,6,7}:{(15,1),(59,1),(62,1),(128,1),(174,1)}
        36:{1,2,5,7}:{(15,1),(16,1),(17,1),(62,1),(63,1)}
        37:{1,3,5,6}:{(16,1),(18,1),(61,1),(63,1),(64,1),(66,1),(133,1),(190,1)}
        38:{1,3,7}:{(17,1),(18,1)}
        39:{1,3,4,6}:{(18,1),(19,1),(52,1),(64,1),(65,1),(66,1),(116,1),(133,1)}
        40:{3,4,5,7}:{(20,1),(69,1),(70,1),(71,1),(140,1),(225,1)}
        41:{1,4,5,6}:{(20,1),(21,1),(70,1),(98,1),(164,1)}
        42:{2,4,5,6}:{(20,1),(67,1),(71,1),(159,1),(207,1)}
        43:{1,3,5,7}:{(21,1),(22,1),(70,1),(73,1),(74,1),(140,1)}
        44:{1,2,5,6}:{(21,1),(23,1),(74,1),(75,1),(85,1),(155,1)}
        45:{1,2,4,7}:{(22,1),(23,1),(74,1),(76,1),(143,1)}
        46:{2,3,6}:{(23,1),(24,1),(76,1)}
        47:{2,3,4}:{(24,1),(26,1)}
        48:{1,3,4,6}:{(27,1),(29,1),(78,1),(79,1),(95,1)}
        49:{2,3,4,6}:{(28,1),(67,1),(80,1),(81,1),(141,1)}
        50:{1,2,3,5,6}:{(25,1),(37,1),(75,1),(82,1),(83,1),(85,1),(90,1),(136,1),(146,1),(152,1),(155,1),(200,1),(204,1),(205,1),(227,1)}
        51:{1,2,3,7}:{(25,1),(38,1),(76,1),(84,1)}
        52:{1,2,4,6}:{(25,1),(26,1),(39,1),(77,1),(84,1),(85,1),(155,1)}
        53:{1,2,4,5}:{(27,1),(79,1),(86,1),(156,1),(159,1),(200,1)}
        54:{1,2,4,5}:{(28,1),(81,1),(87,1),(156,1),(193,1),(200,1)}
        55:{1,3,5,7}:{(29,1),(32,1),(78,1),(88,1),(89,1),(94,1)}
        56:{1,2,5,6}:{(29,1),(79,1),(89,1),(90,1),(200,1),(227,1)}
        57:{3,5,6,7}:{(30,1),(31,1),(91,1),(92,1),(226,1)}
        58:{1,4,6,7}:{(31,1),(32,1),(88,1),(91,1),(224,1)}
        59:{2,4,6,7}:{(31,1),(33,1),(35,1),(92,1),(198,1)}
        60:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(36,1),(89,1),(93,1),(94,1),(97,1),(158,1),(163,1),(206,1),(208,1)}
        61:{3,5,6}:{(34,1),(94,1),(95,1),(152,1),(204,1)}
        62:{1,2,6,7}:{(35,1),(36,1),(96,1),(155,1)}
        63:{1,3,5,7}:{(36,1),(37,1),(38,1),(94,1),(96,1),(97,1),(163,1)}
        64:{1,4,6}:{(37,1),(95,1),(97,1),(98,1)}
        65:{1,3,4,7}:{(38,1),(39,1),(84,1),(97,1),(99,1),(151,1)}
        66:{1,3,5}:{(39,1),(85,1),(98,1),(152,1)}
        67:{2,3,5,6}:{(42,1),(49,1),(100,1),(101,1),(106,1),(178,1),(217,1)}
        68:{4,5,6,7}:{(102,1),(212,1),(222,1)}
        69:{3,4,6,7}:{(40,1),(102,1),(103,1),(104,1),(169,1),(189,1),(212,1)}
        70:{1,4,5,7}:{(40,1),(41,1),(43,1),(103,1)}
        71:{2,4,5,7}:{(40,1),(42,1),(100,1),(104,1)}
        72:{1,2,4,5,6}:{(41,1),(42,1),(44,1),(101,1),(105,1),(106,1),(109,1),(119,1),(167,1),(184,1),(215,1),(229,1),(230,1)}
        73:{1,3,6,7}:{(43,1),(103,1),(107,1),(133,1),(169,1)}
        74:{1,2,5,7}:{(43,1),(44,1),(45,1),(107,1),(108,1)}
        75:{2,3,5,6}:{(44,1),(46,1),(106,1),(108,1),(109,1),(111,1),(174,1),(215,1)}
        76:{2,3,7}:{(45,1),(46,1)}
        77:{2,3,4,6}:{(46,1),(47,1),(52,1),(109,1),(110,1),(111,1),(116,1),(174,1)}
        78:{1,3,4,7}:{(48,1),(55,1),(112,1),(129,1)}
        79:{1,2,4,6}:{(48,1),(53,1),(56,1),(112,1),(113,1),(126,1)}
        80:{2,3,4,7}:{(49,1),(100,1),(114,1),(170,1)}
        81:{1,2,4,6}:{(49,1),(54,1),(101,1),(114,1),(115,1),(167,1)}
        82:{1,2,3,5,7}:{(50,1),(51,1),(63,1),(108,1),(117,1),(118,1),(120,1),(125,1),(166,1),(175,1),(182,1),(183,1),(216,1)}
        83:{1,2,4,6}:{(50,1),(64,1),(109,1),(116,1),(118,1),(119,1),(126,1),(167,1)}
        84:{1,2,4,7}:{(51,1),(52,1),(65,1),(110,1),(120,1)}
        85:{1,2,5}:{(52,1),(66,1),(111,1)}
        86:{2,3,5}:{(53,1),(113,1),(122,1)}
        87:{1,3,5}:{(54,1),(115,1),(123,1)}
        88:{1,3,6,7}:{(55,1),(58,1),(124,1),(128,1),(218,1)}
        89:{1,2,5,7}:{(55,1),(56,1),(112,1),(124,1),(125,1)}
        90:{2,3,5,6}:{(56,1),(61,1),(113,1),(125,1),(126,1),(178,1),(217,1),(221,1)}
        91:{1,5,6,7}:{(57,1),(58,1),(229,1)}
        92:{2,5,6,7}:{(57,1),(59,1),(215,1)}
        93:{1,2,4,6,7}:{(58,1),(59,1),(60,1),(62,1),(124,1),(127,1),(128,1),(131,1),(184,1),(185,1),(187,1)}
        94:{3,5,7}:{(60,1),(61,1),(128,1),(129,1)}
        95:{3,4,6}:{(61,1),(64,1),(126,1),(129,1),(130,1)}
        96:{1,3,6,7}:{(62,1),(63,1),(128,1),(131,1),(133,1)}
        97:{1,4,7}:{(63,1),(64,1),(129,1)}
        98:{1,4,5}:{(64,1),(66,1),(130,1)}
        99:{1,3,5,7}:{(65,1),(66,1),(120,1),(132,1),(133,1),(182,1)}
       100:{2,3,5,7}:{(67,1),(71,1),(80,1),(134,1),(135,1),(140,1)}
       101:{1,2,5,6}:{(67,1),(81,1),(135,1),(136,1),(200,1),(227,1)}
       102:{3,5,6,7}:{(68,1),(69,1),(137,1),(138,1),(209,1)}
       103:{1,4,6,7}:{(69,1),(70,1),(73,1),(137,1),(164,1)}
       104:{2,4,6,7}:{(69,1),(71,1),(134,1),(138,1),(207,1)}
       105:{1,2,4,5,7}:{(70,1),(71,1),(72,1),(74,1),(135,1),(139,1),(140,1),(143,1),(192,1),(197,1),(223,1),(225,1)}
       106:{3,5,6}:{(72,1),(140,1),(141,1),(152,1),(204,1)}
       107:{1,2,6,7}:{(73,1),(74,1),(142,1),(155,1)}
       108:{2,3,5,7}:{(74,1),(75,1),(76,1),(140,1),(142,1),(143,1),(197,1)}
       109:{2,4,6}:{(75,1),(141,1),(143,1),(144,1)}
       110:{2,3,4,7}:{(76,1),(77,1),(84,1),(143,1),(145,1),(151,1)}
       111:{2,3,5}:{(77,1),(85,1),(144,1),(152,1)}
       112:{1,2,4,7}:{(78,1),(79,1),(89,1),(147,1),(158,1)}
       113:{2,3,6}:{(79,1),(86,1),(147,1)}
       114:{1,2,4,7}:{(80,1),(81,1),(135,1),(149,1),(192,1)}
       115:{1,3,6}:{(81,1),(87,1),(149,1)}
       116:{3,4,6}:{(83,1),(151,1),(152,1),(204,1)}
       117:{1,2,3,6,7}:{(82,1),(96,1),(142,1),(153,1),(155,1),(157,1),(191,1),(204,1),(227,1)}
       118:{1,2,4,7}:{(82,1),(83,1),(97,1),(143,1),(151,1),(158,1),(192,1)}
       119:{1,2,4,5}:{(83,1),(85,1),(98,1),(144,1),(152,1),(159,1),(193,1),(200,1)}
       120:{1,2,5,7}:{(84,1),(85,1),(99,1),(145,1),(155,1)}
       121:{1,2,3,5}:{(86,1),(87,1),(146,1),(156,1),(200,1)}
       122:{2,3,4}:{(86,1),(156,1)}
       123:{1,3,4}:{(87,1),(156,1)}
       124:{1,2,6,7}:{(88,1),(89,1),(157,1),(227,1)}
       125:{2,3,5,7}:{(89,1),(90,1),(94,1),(147,1),(157,1),(158,1),(206,1)}
       126:{2,4,6}:{(90,1),(95,1),(158,1),(159,1)}
       127:{1,2,5,6,7}:{(91,1),(92,1),(93,1),(160,1),(163,1),(205,1),(206,1)}
       128:{3,6,7}:{(93,1),(94,1),(204,1)}
       129:{3,4,7}:{(94,1),(95,1),(97,1),(158,1)}
       130:{3,4,5}:{(95,1),(98,1),(152,1),(159,1)}
       131:{1,4,6,7}:{(96,1),(97,1),(161,1),(163,1),(164,1)}
       132:{1,4,5,7}:{(97,1),(98,1),(99,1),(162,1),(163,1),(164,1)}
       133:{1,3,6}:{(99,1),(155,1),(164,1),(204,1)}
       134:{2,3,6,7}:{(100,1),(104,1),(165,1),(169,1),(217,1)}
       135:{1,2,5,7}:{(100,1),(101,1),(114,1),(165,1),(166,1)}
       136:{1,3,5,6}:{(101,1),(106,1),(115,1),(166,1),(167,1),(180,1),(218,1),(229,1)}
       137:{1,5,6,7}:{(102,1),(103,1),(190,1)}
       138:{2,5,6,7}:{(102,1),(104,1),(221,1)}
       139:{1,2,4,6,7}:{(103,1),(104,1),(105,1),(107,1),(165,1),(168,1),(169,1),(172,1),(184,1),(210,1),(212,1)}
       140:{3,5,7}:{(105,1),(106,1),(169,1),(170,1)}
       141:{3,4,6}:{(106,1),(109,1),(167,1),(170,1),(171,1)}
       142:{2,3,6,7}:{(107,1),(108,1),(169,1),(172,1),(174,1)}
       143:{2,4,7}:{(108,1),(109,1),(170,1)}
       144:{2,4,5}:{(109,1),(111,1),(171,1)}
       145:{2,3,5,7}:{(110,1),(111,1),(120,1),(173,1),(174,1),(182,1)}
       146:{1,2,3,6}:{(113,1),(115,1),(121,1),(175,1),(176,1)}
       147:{2,3,7}:{(112,1),(113,1)}
       148:{2,3,4,6}:{(113,1),(116,1),(122,1),(126,1),(176,1),(177,1),(178,1),(217,1)}
       149:{1,3,7}:{(114,1),(115,1)}
       150:{1,3,4,6}:{(115,1),(116,1),(123,1),(167,1),(176,1),(179,1),(180,1),(218,1)}
       151:{3,4,7}:{(116,1),(118,1),(182,1)}
       152:{3,5}:{(116,1),(119,1)}
       153:{1,2,4,6,7}:{(117,1),(118,1),(131,1),(172,1),(181,1),(183,1),(184,1),(185,1),(210,1)}
       154:{1,2,4,5,7}:{(118,1),(119,1),(120,1),(132,1),(173,1),(182,1),(183,1),(184,1),(186,1),(211,1),(216,1),(219,1)}
       155:{1,2,6}:{(120,1),(133,1),(174,1)}
       156:{1,2,4}:{(121,1),(122,1),(123,1)}
       157:{2,3,6,7}:{(124,1),(125,1),(128,1),(185,1),(217,1)}
       158:{2,4,7}:{(125,1),(126,1),(129,1)}
       159:{2,4,5}:{(126,1),(130,1),(178,1)}
       160:{3,5,6,7}:{(127,1),(128,1),(187,1),(188,1),(220,1)}
       161:{3,4,6,7}:{(128,1),(129,1),(131,1),(185,1),(187,1),(188,1),(189,1)}
       162:{3,4,5,7}:{(129,1),(130,1),(132,1),(182,1),(186,1),(188,1),(189,1),(219,1)}
       163:{1,5,7}:{(131,1),(188,1),(190,1)}
       164:{1,4,6}:{(132,1),(133,1),(189,1),(190,1)}
       165:{1,2,6,7}:{(134,1),(135,1),(191,1),(227,1)}
       166:{1,3,5,7}:{(135,1),(136,1),(140,1),(149,1),(191,1),(192,1),(223,1)}
       167:{1,4,6}:{(136,1),(141,1),(192,1),(193,1)}
       168:{1,2,5,6,7}:{(137,1),(138,1),(139,1),(194,1),(197,1),(205,1),(223,1)}
       169:{3,6,7}:{(139,1),(140,1),(204,1)}
       170:{3,4,7}:{(140,1),(141,1),(143,1),(192,1)}
       171:{3,4,5}:{(141,1),(144,1),(152,1),(193,1)}
       172:{2,4,6,7}:{(142,1),(143,1),(195,1),(197,1),(198,1)}
       173:{2,4,5,7}:{(143,1),(144,1),(145,1),(196,1),(197,1),(198,1)}
       174:{2,3,6}:{(145,1),(155,1),(198,1),(204,1)}
       175:{1,2,3,7}:{(146,1),(147,1),(149,1),(199,1)}
       176:{1,2,4,6}:{(146,1),(148,1),(150,1),(156,1),(199,1),(200,1),(227,1)}
       177:{2,3,4,7}:{(147,1),(148,1),(151,1),(158,1),(199,1),(201,1)}
       178:{2,3,5}:{(148,1),(152,1),(159,1),(200,1)}
       179:{1,3,4,7}:{(149,1),(150,1),(151,1),(192,1),(199,1),(202,1)}
       180:{1,3,5}:{(150,1),(152,1),(193,1),(200,1)}
       181:{3,4,6,7}:{(151,1),(153,1),(203,1),(204,1),(228,1)}
       182:{3,5,7}:{(151,1),(152,1),(154,1),(204,1)}
       183:{1,2,5,7}:{(153,1),(163,1),(197,1),(203,1),(205,1),(206,1),(223,1)}
       184:{1,2,4,6}:{(154,1),(155,1),(164,1),(198,1),(204,1),(205,1),(207,1),(224,1),(227,1),(228,1)}
       185:{2,4,6,7}:{(157,1),(158,1),(161,1),(206,1),(207,1)}
       186:{2,4,5,7}:{(158,1),(159,1),(162,1),(201,1),(206,1),(207,1)}
       187:{4,6,7}:{(160,1),(208,1),(228,1)}
       188:{3,5,7}:{(161,1),(163,1),(206,1),(208,1),(209,1)}
       189:{3,4,6}:{(162,1),(164,1),(204,1),(207,1),(209,1),(228,1)}
       190:{1,5,6}:{(163,1),(164,1),(209,1)}
       191:{1,3,6,7}:{(165,1),(166,1),(169,1),(210,1),(218,1)}
       192:{1,4,7}:{(166,1),(167,1),(170,1)}
       193:{1,4,5}:{(167,1),(171,1),(180,1)}
       194:{3,5,6,7}:{(168,1),(169,1),(212,1),(213,1),(220,1)}
       195:{3,4,6,7}:{(169,1),(170,1),(172,1),(210,1),(212,1),(213,1),(214,1)}
       196:{3,4,5,7}:{(170,1),(171,1),(173,1),(182,1),(211,1),(213,1),(214,1),(219,1)}
       197:{2,5,7}:{(172,1),(213,1),(215,1)}
       198:{2,4,6}:{(173,1),(174,1),(214,1),(215,1)}
       199:{1,2,4,7}:{(175,1),(176,1),(177,1),(179,1),(216,1)}
       200:{1,2,5}:{(176,1),(178,1),(180,1)}
       201:{2,3,5,7}:{(177,1),(178,1),(182,1),(186,1),(216,1),(217,1)}
       202:{1,3,5,7}:{(179,1),(180,1),(182,1),(211,1),(216,1),(218,1)}
       203:{3,5,7}:{(181,1),(183,1),(219,1),(220,1)}
       204:{3,6}:{(182,1),(184,1)}
       205:{1,2,5,6}:{(183,1),(184,1),(190,1),(215,1),(220,1),(221,1),(229,1)}
       206:{2,5,7}:{(185,1),(188,1),(221,1)}
       207:{2,4,6}:{(186,1),(189,1),(217,1),(221,1)}
       208:{4,5,7}:{(187,1),(188,1),(222,1)}
       209:{3,5,6}:{(188,1),(189,1),(190,1),(221,1),(222,1)}
       210:{1,4,6,7}:{(191,1),(192,1),(195,1),(223,1),(224,1)}
       211:{1,4,5,7}:{(192,1),(193,1),(196,1),(202,1),(223,1),(224,1)}
       212:{4,6,7}:{(194,1),(225,1),(228,1)}
       213:{3,5,7}:{(195,1),(197,1),(223,1),(225,1),(226,1)}
       214:{3,4,6}:{(196,1),(198,1),(204,1),(224,1),(226,1),(228,1)}
       215:{2,5,6}:{(197,1),(198,1),(226,1)}
       216:{1,2,5,7}:{(199,1),(200,1),(201,1),(202,1),(227,1)}
       217:{2,3,6}:{(201,1),(204,1),(207,1),(227,1)}
       218:{1,3,6}:{(202,1),(204,1),(224,1),(227,1)}
       219:{4,5,7}:{(203,1),(228,1)}
       220:{3,5,6}:{(203,1),(204,1),(205,1),(228,1)}
       221:{2,5,6}:{(206,1),(207,1),(209,1)}
       222:{4,5,6}:{(208,1),(209,1),(228,1)}
       223:{1,5,7}:{(210,1),(213,1),(229,1)}
       224:{1,4,6}:{(211,1),(214,1),(218,1),(229,1)}
       225:{4,5,7}:{(212,1),(213,1),(230,1)}
       226:{3,5,6}:{(213,1),(214,1),(215,1),(229,1),(230,1)}
       227:{1,2,6}:{(216,1),(217,1),(218,1)}
       228:{4,6}:{(219,1),(220,1)}
       229:{1,5,6}:{(223,1),(224,1),(226,1)}
       230:{4,5,6}:{(225,1),(226,1),(228,1)}

1279 :   0:{2,3,4,6,7}:{(1,1),(2,1),(15,1),(21,1),(38,1),(40,1),(48,1),(76,1),(86,1),(111,1),(117,1)}
         1:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(23,1),(24,1),(36,1),(69,1),(103,1),(123,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(25,1),(35,1),(93,1),(120,1)}
         3:{1,3,5,6,7}:{(9,1),(10,1),(22,1),(31,1),(32,1),(63,1),(67,1)}
         4:{2,3,5,6,7}:{(7,1),(9,1),(11,1),(31,1),(35,1),(68,1),(101,1)}
         5:{1,3,6,7}:{(1,1),(12,1),(40,1),(117,1),(133,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(12,1),(13,1),(53,1),(130,1)}
         7:{2,3,5,6}:{(2,1),(13,1),(15,1),(40,1),(44,1)}
         8:{2,4,5,7}:{(2,1),(15,1),(16,1),(86,1),(108,1)}
         9:{1,2,5,6,7}:{(3,1),(4,1),(13,1),(17,1),(51,1),(53,1),(84,1),(87,1)}
        10:{1,4,6,7}:{(3,1),(18,1),(19,1),(37,1),(82,1),(85,1)}
        11:{2,4,6,7}:{(4,1),(15,1),(20,1),(21,1),(86,1),(115,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(22,1),(23,1),(25,1),(136,1)}
        13:{1,2,5,6}:{(6,1),(7,1),(22,1),(24,1),(65,1),(93,1)}
        14:{1,2,4,5,7}:{(6,1),(8,1),(23,1),(24,1),(25,1),(29,1),(54,1),(57,1),(61,1),(93,1),(103,1),(121,1)}
        15:{2,4,6}:{(7,1),(8,1),(28,1)}
        16:{3,4,5,7}:{(8,1),(25,1),(28,1),(29,1),(35,1),(66,1),(91,1)}
        17:{1,2,4,6,7}:{(9,1),(10,1),(11,1),(24,1),(30,1),(31,1),(34,1),(36,1),(69,1),(100,1),(103,1)}
        18:{1,4,5,7}:{(10,1),(26,1),(32,1),(54,1)}
        19:{3,4,6,7}:{(10,1),(31,1),(32,1),(34,1),(55,1),(62,1),(66,1)}
        20:{2,4,5,7}:{(11,1),(27,1),(35,1),(127,1)}
        21:{3,4,6,7}:{(11,1),(28,1),(31,1),(35,1),(36,1),(66,1),(126,1)}
        22:{1,3,5,6}:{(12,1),(13,1),(37,1),(40,1),(74,1)}
        23:{1,4,7}:{(12,1),(37,1),(38,1),(139,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(15,1),(37,1),(40,1),(45,1),(76,1),(81,1)}
        25:{3,5,7}:{(14,1),(38,1),(40,1),(74,1),(117,1),(131,1)}
        26:{1,4,5,6}:{(18,1),(43,1),(82,1)}
        27:{2,4,5,6}:{(15,1),(20,1),(44,1)}
        28:{3,4,6}:{(15,1),(16,1),(40,1),(44,1),(45,1)}
        29:{1,4,5,7}:{(16,1),(41,1),(45,1),(53,1),(85,1),(107,1)}
        30:{1,2,4,5,7}:{(17,1),(18,1),(20,1),(39,1),(46,1),(51,1),(53,1),(85,1),(86,1),(87,1)}
        31:{3,6,7}:{(17,1),(40,1),(46,1),(114,1),(117,1)}
        32:{3,5,7}:{(18,1),(19,1),(43,1),(51,1),(74,1)}
        33:{1,3,4,6,7}:{(19,1),(47,1),(50,1),(52,1),(75,1),(82,1),(85,1),(114,1),(117,1),(119,1),(134,1)}
        34:{2,4,6,7}:{(19,1),(48,1),(51,1),(76,1),(83,1),(86,1)}
        35:{3,5,7}:{(20,1),(21,1),(44,1),(53,1),(135,1)}
        36:{1,4,6,7}:{(21,1),(45,1),(47,1),(53,1),(85,1),(134,1)}
        37:{1,4,6}:{(22,1),(23,1),(54,1),(55,1)}
        38:{3,4,7}:{(23,1),(25,1),(55,1),(57,1),(137,1)}
        39:{1,2,4,5,6}:{(24,1),(26,1),(27,1),(30,1),(54,1),(58,1),(64,1),(65,1),(93,1),(96,1),(97,1),(98,1),(100,1),(121,1),(127,1),(138,1)}
        40:{3,6}:{(24,1),(25,1)}
        41:{1,3,5,7}:{(25,1),(29,1),(56,1),(59,1),(61,1),(92,1)}
        42:{2,3,5,7}:{(25,1),(57,1),(60,1),(61,1),(93,1),(95,1),(122,1)}
        43:{3,5,6}:{(26,1),(32,1),(62,1),(64,1)}
        44:{3,5,6}:{(27,1),(28,1),(35,1),(65,1)}
        45:{1,4,6}:{(28,1),(29,1),(59,1),(65,1)}
        46:{3,5,7}:{(30,1),(31,1),(58,1),(66,1)}
        47:{1,3,6,7}:{(31,1),(36,1),(59,1),(67,1),(69,1),(125,1)}
        48:{2,3,6,7}:{(31,1),(34,1),(60,1),(68,1),(69,1),(99,1)}
        49:{3,4,5,7}:{(32,1),(62,1),(66,1),(70,1),(71,1),(91,1),(105,1)}
        50:{1,3,5,7}:{(32,1),(33,1),(63,1),(70,1),(72,1),(92,1),(105,1),(138,1)}
        51:{2,5,7}:{(32,1),(34,1),(64,1),(93,1)}
        52:{1,2,4,6,7}:{(33,1),(34,1),(69,1),(72,1),(73,1),(94,1),(100,1),(103,1),(106,1)}
        53:{1,5,7}:{(35,1),(36,1),(65,1),(138,1)}
        54:{1,4,5}:{(37,1),(74,1)}
        55:{3,4,6}:{(37,1),(38,1),(40,1),(74,1),(76,1)}
        56:{1,3,4,7}:{(38,1),(41,1),(75,1),(77,1),(85,1),(117,1)}
        57:{2,4,7}:{(38,1),(42,1),(76,1),(132,1)}
        58:{3,5,6}:{(39,1),(40,1),(46,1),(74,1),(78,1),(114,1),(131,1),(135,1)}
        59:{1,3,6}:{(40,1),(41,1),(45,1),(81,1)}
        60:{2,3,6}:{(40,1),(42,1),(76,1),(81,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(77,1),(81,1),(109,1)}
        62:{3,4,6}:{(43,1),(49,1),(82,1),(83,1),(114,1)}
        63:{1,3,5,6}:{(43,1),(50,1),(82,1),(84,1),(114,1)}
        64:{2,5,6}:{(43,1),(51,1),(83,1)}
        65:{1,5,6}:{(44,1),(45,1),(53,1)}
        66:{3,4,7}:{(46,1),(78,1),(85,1),(86,1),(117,1)}
        67:{1,3,5,7}:{(46,1),(47,1),(53,1),(79,1),(85,1),(87,1),(117,1)}
        68:{2,3,5,7}:{(46,1),(48,1),(51,1),(80,1),(86,1),(87,1),(117,1)}
        69:{1,2,6,7}:{(47,1),(48,1),(81,1),(87,1),(113,1)}
        70:{1,4,5,7}:{(49,1),(50,1),(82,1),(85,1),(107,1)}
        71:{2,4,5,7}:{(49,1),(51,1),(83,1),(86,1),(88,1),(108,1)}
        72:{1,2,5,7}:{(50,1),(51,1),(52,1),(84,1),(90,1),(109,1)}
        73:{2,3,6,7}:{(52,1),(90,1),(110,1),(114,1),(117,1)}
        74:{3,5}:{(54,1),(55,1),(93,1)}
        75:{1,3,4,6}:{(55,1),(56,1),(59,1),(92,1),(94,1),(96,1),(124,1),(137,1)}
        76:{2,4,6}:{(55,1),(57,1),(60,1),(93,1)}
        77:{1,2,4,7}:{(56,1),(57,1),(61,1),(94,1),(95,1)}
        78:{3,4,6}:{(58,1),(66,1),(91,1),(96,1),(97,1),(124,1),(137,1)}
        79:{1,3,5,6}:{(58,1),(59,1),(65,1),(67,1),(92,1),(96,1),(98,1),(124,1),(125,1),(136,1),(138,1)}
        80:{2,3,5,6}:{(58,1),(60,1),(64,1),(68,1),(93,1),(97,1),(98,1),(99,1),(120,1),(122,1),(124,1)}
        81:{1,2,6}:{(59,1),(60,1),(61,1)}
        82:{1,4,6}:{(62,1),(63,1),(70,1)}
        83:{2,4,6}:{(62,1),(64,1),(71,1),(99,1)}
        84:{1,2,5,6}:{(63,1),(64,1),(72,1),(100,1),(101,1),(138,1)}
        85:{1,4,7}:{(66,1),(67,1),(96,1)}
        86:{2,4,7}:{(66,1),(68,1),(97,1)}
        87:{1,2,5,7}:{(67,1),(68,1),(69,1),(98,1),(103,1)}
        88:{2,3,5,7}:{(71,1),(99,1),(102,1),(104,1),(105,1),(120,1)}
        89:{1,2,4,5,7}:{(70,1),(71,1),(72,1),(100,1),(103,1),(104,1),(105,1),(106,1),(121,1),(127,1),(129,1),(138,1)}
        90:{2,3,5,7}:{(72,1),(73,1),(101,1),(105,1),(106,1),(122,1)}
        91:{3,4,5}:{(74,1),(78,1),(107,1),(108,1),(131,1),(135,1)}
        92:{1,3,5}:{(74,1),(75,1),(107,1),(109,1),(131,1)}
        93:{2,5}:{(74,1),(76,1)}
        94:{1,2,4,6}:{(75,1),(76,1),(77,1),(81,1),(109,1),(110,1),(132,1)}
        95:{2,3,7}:{(77,1),(110,1),(117,1)}
        96:{1,4,6}:{(78,1),(79,1),(85,1),(107,1),(139,1)}
        97:{2,4,6}:{(78,1),(80,1),(86,1),(108,1),(132,1)}
        98:{1,2,5,6}:{(79,1),(80,1),(81,1),(87,1),(109,1),(112,1),(113,1),(130,1)}
        99:{2,3,6}:{(83,1),(88,1),(113,1),(114,1)}
       100:{1,2,4,6}:{(82,1),(83,1),(84,1),(89,1),(113,1),(114,1),(115,1),(134,1)}
       101:{2,3,5,6}:{(84,1),(90,1),(114,1),(115,1),(135,1)}
       102:{2,3,4,7}:{(86,1),(88,1),(111,1),(116,1),(117,1),(119,1)}
       103:{1,2,4,7}:{(85,1),(86,1),(87,1),(112,1),(117,1)}
       104:{1,2,5,7}:{(88,1),(113,1),(116,1),(118,1),(130,1)}
       105:{3,5,7}:{(89,1),(114,1),(117,1),(119,1),(131,1),(135,1)}
       106:{2,4,7}:{(90,1),(115,1),(119,1),(132,1)}
       107:{1,4,5}:{(91,1),(92,1),(96,1),(138,1)}
       108:{2,4,5}:{(91,1),(93,1),(97,1),(120,1)}
       109:{1,2,5}:{(92,1),(93,1),(94,1),(122,1)}
       110:{2,3,6}:{(94,1),(95,1),(122,1),(124,1)}
       111:{2,3,4,6}:{(97,1),(99,1),(102,1),(120,1),(123,1),(124,1),(126,1),(137,1)}
       112:{1,2,4,6}:{(96,1),(97,1),(98,1),(103,1),(121,1),(124,1)}
       113:{1,2,6}:{(99,1),(104,1),(125,1)}
       114:{3,6}:{(100,1),(105,1)}
       115:{2,4,6}:{(101,1),(106,1),(126,1),(127,1)}
       116:{1,2,4,7}:{(102,1),(104,1),(123,1),(128,1),(129,1)}
       117:{3,7}:{(103,1),(124,1)}
       118:{1,3,5,7}:{(104,1),(105,1),(125,1),(128,1),(129,1),(136,1),(138,1)}
       119:{3,4,7}:{(105,1),(106,1),(126,1),(129,1),(137,1)}
       120:{2,3,5}:{(108,1),(111,1),(130,1),(131,1),(135,1)}
       121:{1,2,4,5}:{(107,1),(108,1),(109,1),(112,1),(130,1),(131,1),(132,1),(139,1)}
       122:{2,3,5}:{(109,1),(110,1),(131,1),(132,1)}
       123:{1,2,4,6}:{(111,1),(113,1),(116,1),(130,1),(133,1),(134,1),(139,1)}
       124:{3,6}:{(112,1),(117,1),(131,1)}
       125:{1,3,6}:{(113,1),(114,1),(118,1),(134,1)}
       126:{3,4,6}:{(114,1),(115,1),(119,1),(134,1),(135,1)}
       127:{2,4,5}:{(115,1),(135,1)}
       128:{1,3,7}:{(116,1),(117,1),(133,1)}
       129:{1,4,7}:{(118,1),(119,1),(134,1),(139,1)}
       130:{1,2,5}:{(120,1),(123,1),(136,1),(138,1)}
       131:{3,5}:{(121,1),(124,1),(137,1)}
       132:{2,4}:{(122,1),(137,1)}
       133:{1,3,6}:{(123,1),(124,1),(128,1),(136,1)}
       134:{1,4,6}:{(125,1),(126,1),(129,1),(138,1)}
       135:{3,5}:{(126,1),(127,1),(138,1)}
       136:{1,3,5}:{(130,1),(131,1),(133,1),(139,1)}
       137:{3,4}:{(131,1),(132,1),(139,1)}
       138:{1,5}:{(134,1),(135,1)}
       139:{1,4}:{(136,1),(137,1)}

1280 :   0:{1,3,4,5,6}:{(1,1),(2,1),(18,1),(57,1),(63,1)}
         1:{1,2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(49,1),(52,1)}
         2:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(28,1),(48,1),(53,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(40,1),(43,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(44,1)}
         6:{1,2,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(47,1),(49,1)}
         7:{2,3,4,6}:{(3,1),(11,1),(13,1),(14,1)}
         8:{2,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,2,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(34,1)}
        10:{1,3,5,6,7}:{(5,1),(16,1),(17,1),(35,1),(48,1)}
        11:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
        12:{1,2,3,5,7}:{(6,1),(8,1),(20,1),(21,1),(37,1),(40,1)}
        13:{2,3,4,5}:{(7,1),(19,1)}
        14:{2,3,4,7}:{(7,1),(8,1),(20,1)}
        15:{2,3,6,7}:{(8,1),(9,1)}
        16:{1,2,5,6,7}:{(9,1),(10,1),(24,1),(40,1)}
        17:{1,4,5,6,7}:{(10,1),(26,1),(58,1)}
        18:{1,3,4,6}:{(11,1),(27,1),(28,1),(47,1)}
        19:{1,2,4,5}:{(11,1),(13,1),(27,1)}
        20:{1,2,4,7}:{(11,1),(12,1),(14,1),(28,1)}
        21:{1,2,3,6,7}:{(12,1),(15,1),(30,1),(47,1)}
        22:{2,3,4,5,7}:{(13,1),(14,1),(29,1),(32,1),(33,1),(68,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1),(51,1)}
        24:{2,3,5,6,7}:{(15,1),(16,1),(33,1),(34,1),(35,1)}
        25:{1,2,4,5,6,7}:{(16,1),(17,1),(34,1),(35,1),(36,1),(50,1),(54,1),(56,1)}
        26:{3,4,5,6,7}:{(17,1),(35,1),(36,1),(68,1)}
        27:{1,3,5}:{(18,1),(19,1)}
        28:{1,3,4,7}:{(18,1),(20,1),(37,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(39,1),(40,1),(58,1)}
        30:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(39,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(24,1),(40,1),(41,1),(45,1),(57,1),(60,1),(81,1),(82,1),(83,1)}
        32:{2,3,4,6}:{(22,1),(39,1),(42,1),(77,1)}
        33:{2,3,5,7}:{(23,1),(40,1),(42,1),(43,1),(60,1)}
        34:{2,4,6,7}:{(24,1),(43,1),(44,1)}
        35:{3,5,6,7}:{(25,1),(44,1),(60,1)}
        36:{2,4,5,6,7}:{(26,1),(46,1),(79,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(47,1)}
        38:{1,3,4,6,7}:{(28,1),(30,1),(47,1),(48,1),(51,1),(67,1)}
        39:{1,2,4,6}:{(29,1),(32,1),(47,1),(49,1),(67,1)}
        40:{1,2,5,7}:{(30,1),(33,1),(48,1),(49,1)}
        41:{1,2,4,6,7}:{(31,1),(34,1),(50,1),(51,1),(54,1),(67,1),(87,1)}
        42:{2,3,5,6}:{(32,1),(33,1),(49,1),(52,1),(69,1)}
        43:{2,4,5,7}:{(33,1),(34,1),(52,1),(53,1)}
        44:{3,4,6,7}:{(34,1),(35,1),(53,1),(54,1)}
        45:{1,3,5,6,7}:{(35,1),(54,1),(56,1),(70,1),(76,1)}
        46:{2,3,5,6,7}:{(35,1),(36,1),(55,1),(56,1),(71,1)}
        47:{1,3,6}:{(37,1),(39,1)}
        48:{1,3,5,7}:{(38,1),(40,1),(57,1),(58,1),(60,1)}
        49:{1,2,5,6}:{(39,1),(40,1),(42,1),(57,1)}
        50:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(58,1),(59,1),(60,1),(64,1),(79,1),(82,1)}
        51:{3,4,6,7}:{(41,1),(60,1),(77,1)}
        52:{2,4,5,6}:{(42,1),(43,1),(63,1)}
        53:{3,4,5,7}:{(43,1),(44,1),(60,1),(63,1),(64,1)}
        54:{1,4,6,7}:{(44,1),(45,1),(64,1)}
        55:{2,3,4,6,7}:{(44,1),(46,1),(65,1),(66,1)}
        56:{1,2,5,6,7}:{(45,1),(46,1),(66,1),(82,1)}
        57:{1,3,5,6}:{(47,1),(48,1),(49,1),(67,1),(69,1)}
        58:{1,4,5,7}:{(48,1),(67,1),(68,1)}
        59:{1,2,4,5,6}:{(49,1),(50,1),(52,1),(67,1),(69,1),(73,1),(87,1),(89,1)}
        60:{3,5,7}:{(50,1),(51,1),(69,1)}
        61:{1,3,4,6,7}:{(51,1),(54,1),(70,1),(72,1),(76,1),(86,1),(92,1)}
        62:{2,3,4,6,7}:{(51,1),(71,1),(72,1),(87,1),(98,1),(99,1)}
        63:{3,4,5,6}:{(52,1),(53,1),(69,1),(73,1)}
        64:{1,4,5,7}:{(53,1),(54,1),(70,1),(73,1)}
        65:{2,3,4,5,7}:{(53,1),(55,1),(71,1),(74,1),(75,1),(99,1)}
        66:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(75,1),(76,1)}
        67:{1,4,6}:{(57,1),(58,1),(77,1)}
        68:{3,4,5,7}:{(58,1),(60,1),(77,1),(79,1)}
        69:{3,5,6}:{(59,1),(60,1),(77,1)}
        70:{1,3,5,7}:{(60,1),(61,1),(64,1),(80,1),(82,1)}
        71:{2,3,5,7}:{(60,1),(62,1),(79,1),(81,1),(82,1)}
        72:{1,2,4,6,7}:{(61,1),(62,1),(82,1),(83,1),(93,1),(96,1)}
        73:{1,4,5,6}:{(63,1),(64,1),(80,1)}
        74:{2,3,4,5,6}:{(63,1),(65,1),(81,1),(84,1),(102,1)}
        75:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(82,1),(84,1),(85,1),(96,1)}
        76:{1,3,6,7}:{(66,1),(85,1)}
        77:{3,4,6}:{(67,1),(68,1),(69,1),(87,1)}
        78:{1,3,4,5,7}:{(68,1),(70,1),(86,1),(88,1),(92,1),(101,1)}
        79:{2,4,5,7}:{(68,1),(71,1),(87,1)}
        80:{1,3,5,6}:{(69,1),(70,1),(73,1),(86,1),(89,1)}
        81:{2,3,5,6}:{(69,1),(71,1),(87,1),(89,1),(98,1)}
        82:{1,2,5,7}:{(70,1),(71,1),(72,1),(89,1)}
        83:{1,2,3,6,7}:{(72,1),(76,1),(90,1),(98,1)}
        84:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(89,1),(91,1),(100,1)}
        85:{1,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,3,4,6}:{(77,1),(78,1),(80,1),(93,1)}
        87:{2,4,6}:{(77,1),(79,1),(81,1)}
        88:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(93,1),(94,1),(96,1),(103,1)}
        89:{1,2,5,6}:{(80,1),(81,1),(82,1),(93,1)}
        90:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(94,1),(95,1),(96,1)}
        91:{1,3,5,6}:{(84,1),(85,1),(97,1)}
        92:{1,3,4,7}:{(85,1),(96,1),(97,1)}
        93:{1,2,4,6}:{(86,1),(87,1),(88,1),(89,1),(98,1)}
        94:{2,3,5,7}:{(88,1),(98,1),(99,1),(104,1)}
        95:{1,2,3,5,6}:{(89,1),(90,1),(91,1),(98,1),(100,1),(104,1)}
        96:{1,2,4,7}:{(90,1),(92,1),(99,1),(100,1)}
        97:{1,3,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{2,3,6}:{(93,1),(94,1)}
        99:{2,3,4,7}:{(94,1),(96,1),(102,1)}
       100:{1,2,4,6}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{1,3,4,5}:{(97,1),(103,1)}
       102:{2,3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       103:{1,2,4,5}:{(100,1),(101,1),(104,1)}
       104:{2,3,5}:{(102,1),(103,1)}

1281 :   0:{2,4,5,6,7}:{(1,1),(7,1),(183,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(196,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(26,1),(181,1)}
         3:{1,5,6,7}:{(1,1),(6,1),(204,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(22,1),(26,1),(144,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(11,1),(12,1),(36,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(11,1),(13,1),(194,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(12,1),(165,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(15,1),(16,1),(35,1),(72,1),(119,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(44,1),(173,1),(181,1)}
        10:{2,3,4,5,7}:{(19,1),(20,1),(22,1),(51,1),(81,1),(84,1),(90,1),(131,1),(139,1),(143,1)}
        11:{1,4,5,7}:{(5,1),(6,1),(17,1),(21,1)}
        12:{2,4,5,7}:{(5,1),(7,1),(18,1),(22,1)}
        13:{1,3,6,7}:{(6,1),(21,1),(24,1),(26,1),(179,1)}
        14:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(25,1),(26,1),(51,1),(53,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(23,1),(24,1),(26,1),(27,1),(53,1),(140,1)}
        16:{1,3,5,6,7}:{(8,1),(26,1),(27,1),(50,1),(55,1),(96,1)}
        17:{1,4,5,6}:{(9,1),(11,1),(28,1),(188,1),(194,1)}
        18:{2,4,5,6}:{(9,1),(12,1),(29,1),(155,1),(165,1)}
        19:{2,3,4,6}:{(10,1),(29,1),(31,1),(61,1),(115,1),(163,1),(165,1)}
        20:{1,2,4,5,7}:{(10,1),(31,1),(32,1),(35,1),(64,1),(69,1),(103,1),(106,1)}
        21:{1,3,5,7}:{(11,1),(13,1),(28,1),(33,1),(34,1),(36,1)}
        22:{2,3,5,7}:{(12,1),(14,1),(29,1),(35,1),(36,1),(72,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(15,1),(30,1),(34,1),(35,1),(36,1),(40,1),(68,1),(69,1),(72,1)}
        24:{1,2,6,7}:{(13,1),(34,1),(37,1),(160,1)}
        25:{1,2,4,6,7}:{(14,1),(31,1),(35,1),(38,1),(69,1)}
        26:{3,6,7}:{(15,1),(36,1),(163,1)}
        27:{1,4,6,7}:{(16,1),(39,1),(40,1),(69,1),(116,1)}
        28:{1,3,5,6}:{(17,1),(21,1),(41,1),(42,1),(44,1),(170,1),(179,1)}
        29:{2,3,5,6}:{(18,1),(19,1),(22,1),(43,1),(44,1),(95,1),(131,1)}
        30:{1,2,4,5,6}:{(17,1),(18,1),(23,1),(42,1),(43,1),(44,1),(56,1),(79,1),(80,1),(95,1),(127,1),(140,1)}
        31:{1,2,4,6}:{(19,1),(20,1),(43,1),(45,1),(80,1)}
        32:{1,3,5,7}:{(20,1),(45,1),(47,1),(83,1),(139,1)}
        33:{1,3,4,7}:{(21,1),(41,1),(48,1),(51,1)}
        34:{1,2,5,7}:{(21,1),(24,1),(42,1),(48,1),(49,1)}
        35:{1,2,5,7}:{(22,1),(25,1),(43,1),(50,1)}
        36:{3,5,7}:{(23,1),(26,1),(44,1),(51,1)}
        37:{2,3,6,7}:{(24,1),(26,1),(49,1),(53,1),(138,1)}
        38:{1,3,6,7}:{(25,1),(26,1),(45,1),(50,1)}
        39:{3,4,6,7}:{(26,1),(27,1),(51,1),(53,1),(55,1),(92,1)}
        40:{1,4,5,7}:{(27,1),(55,1),(56,1)}
        41:{1,3,4,6}:{(28,1),(33,1),(57,1),(58,1),(61,1)}
        42:{1,2,5,6}:{(28,1),(34,1),(58,1),(59,1),(149,1),(160,1)}
        43:{1,2,5,6}:{(29,1),(31,1),(35,1),(60,1),(106,1)}
        44:{3,5,6}:{(30,1),(36,1),(61,1),(151,1),(163,1)}
        45:{1,3,6}:{(31,1),(32,1),(163,1)}
        46:{1,2,3,5,7}:{(32,1),(62,1),(64,1),(106,1),(108,1)}
        47:{1,3,4,7}:{(32,1),(63,1),(64,1),(69,1),(113,1)}
        48:{1,2,4,7}:{(33,1),(34,1),(58,1),(66,1),(68,1)}
        49:{2,3,5,7}:{(34,1),(36,1),(37,1),(59,1),(66,1),(68,1),(72,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(38,1),(60,1),(69,1)}
        51:{3,4,7}:{(36,1),(61,1),(68,1),(69,1)}
        52:{1,2,3,6,7}:{(37,1),(38,1),(62,1),(67,1),(71,1),(158,1),(160,1),(163,1),(195,1)}
        53:{2,4,6,7}:{(37,1),(39,1),(68,1),(72,1),(115,1)}
        54:{1,3,4,6,7}:{(38,1),(39,1),(63,1),(69,1),(71,1),(73,1),(113,1),(116,1),(163,1)}
        55:{3,5,7}:{(39,1),(40,1),(72,1),(74,1)}
        56:{1,4,5,6}:{(40,1),(74,1),(116,1)}
        57:{1,3,4,5}:{(41,1),(76,1),(81,1),(167,1),(170,1)}
        58:{1,2,4,6}:{(41,1),(42,1),(48,1),(76,1),(77,1),(79,1)}
        59:{2,3,5,6}:{(42,1),(44,1),(49,1),(77,1),(79,1),(95,1),(125,1),(138,1)}
        60:{1,3,5,6}:{(43,1),(44,1),(45,1),(50,1),(80,1),(83,1)}
        61:{3,4,6}:{(44,1),(51,1),(79,1),(80,1),(81,1)}
        62:{1,2,3,6}:{(45,1),(46,1),(82,1),(134,1)}
        63:{1,3,4,6}:{(45,1),(47,1),(80,1),(82,1),(83,1),(126,1)}
        64:{1,2,4,7}:{(46,1),(47,1),(82,1),(84,1)}
        65:{1,3,4,5,7}:{(47,1),(83,1),(85,1),(86,1),(91,1),(133,1),(139,1),(173,1),(178,1),(203,1)}
        66:{2,3,7}:{(48,1),(77,1)}
        67:{1,2,3,5,7}:{(49,1),(50,1),(52,1),(78,1),(87,1),(89,1),(94,1),(137,1),(139,1),(177,1),(202,1)}
        68:{2,4,7}:{(49,1),(51,1),(79,1)}
        69:{1,4,7}:{(50,1),(51,1),(80,1)}
        70:{3,4,5,7}:{(51,1),(55,1),(81,1),(90,1),(91,1),(92,1),(139,1)}
        71:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(82,1),(89,1),(93,1),(94,1),(140,1),(205,1)}
        72:{2,5,7}:{(53,1),(55,1),(95,1)}
        73:{1,3,5,7}:{(54,1),(55,1),(83,1),(91,1),(94,1),(96,1),(139,1)}
        74:{3,5,6}:{(55,1),(56,1),(92,1),(95,1)}
        75:{1,4,5,6,7}:{(56,1),(97,1),(142,1)}
        76:{1,2,4,5}:{(57,1),(58,1),(98,1),(102,1),(146,1),(149,1)}
        77:{2,3,6}:{(58,1),(66,1),(98,1)}
        78:{1,2,3,5,6}:{(59,1),(60,1),(62,1),(67,1),(99,1),(101,1),(106,1),(119,1),(149,1),(151,1),(156,1),(160,1),(163,1),(189,1)}
        79:{2,4,6}:{(59,1),(61,1),(68,1),(102,1)}
        80:{1,4,6}:{(60,1),(61,1),(69,1),(103,1)}
        81:{3,4,5}:{(61,1),(102,1),(103,1),(151,1)}
        82:{1,2,4,6}:{(62,1),(63,1),(64,1),(105,1),(106,1)}
        83:{1,3,5}:{(63,1),(103,1),(106,1),(151,1)}
        84:{2,3,4,7}:{(64,1),(105,1),(108,1),(113,1),(193,1)}
        85:{1,2,4,5,7}:{(64,1),(65,1),(106,1),(108,1),(109,1),(155,1),(157,1),(193,1)}
        86:{1,3,4,6}:{(65,1),(107,1),(109,1),(116,1),(163,1),(191,1),(194,1)}
        87:{1,2,3,7}:{(66,1),(99,1),(111,1),(207,1)}
        88:{2,3,4,7}:{(66,1),(68,1),(100,1),(111,1),(112,1),(113,1)}
        89:{1,2,4,7}:{(67,1),(68,1),(69,1),(101,1),(113,1),(193,1),(208,1)}
        90:{2,4,5,7}:{(68,1),(70,1),(72,1),(102,1),(112,1),(115,1)}
        91:{1,4,5,7}:{(69,1),(70,1),(73,1),(103,1),(116,1)}
        92:{3,4,6}:{(70,1),(74,1),(115,1),(116,1),(163,1)}
        93:{2,3,4,6,7}:{(71,1),(105,1),(113,1),(118,1),(158,1),(163,1),(165,1),(193,1),(197,1)}
        94:{1,2,5,7}:{(71,1),(72,1),(73,1),(106,1),(118,1),(119,1),(209,1)}
        95:{2,5,6}:{(72,1),(74,1),(115,1)}
        96:{1,3,5,6}:{(73,1),(74,1),(116,1),(119,1),(163,1)}
        97:{3,5,6,7}:{(74,1),(75,1),(117,1),(120,1)}
        98:{2,3,5}:{(76,1),(77,1),(123,1)}
        99:{1,2,3,6}:{(77,1),(87,1),(122,1),(124,1),(199,1)}
       100:{2,3,4,6}:{(77,1),(79,1),(88,1),(123,1),(124,1),(125,1),(126,1),(138,1)}
       101:{1,2,4,6}:{(78,1),(79,1),(80,1),(89,1),(126,1),(127,1),(176,1),(201,1)}
       102:{2,4,5}:{(79,1),(81,1),(125,1)}
       103:{1,4,5}:{(80,1),(81,1),(83,1)}
       104:{3,4,5,6}:{(81,1),(92,1),(128,1),(129,1),(130,1),(174,1)}
       105:{2,3,4,6}:{(82,1),(84,1),(126,1),(131,1),(134,1),(176,1)}
       106:{1,2,5}:{(82,1),(83,1),(131,1)}
       107:{1,3,5,6}:{(83,1),(86,1),(129,1),(132,1),(133,1),(174,1),(204,1)}
       108:{2,3,5,7}:{(84,1),(85,1),(131,1),(134,1),(139,1)}
       109:{1,2,4,6}:{(85,1),(86,1),(132,1),(134,1),(176,1)}
       110:{1,3,4,6,7}:{(86,1),(133,1),(135,1),(142,1),(182,1),(203,1),(205,1)}
       111:{1,2,4,7}:{(87,1),(88,1),(124,1),(136,1),(137,1)}
       112:{2,3,5,7}:{(88,1),(90,1),(125,1),(137,1),(138,1),(139,1)}
       113:{3,4,7}:{(89,1),(126,1),(139,1)}
       114:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(127,1),(137,1),(139,1),(140,1),(143,1),(178,1)}
       115:{2,4,6}:{(90,1),(92,1),(95,1),(138,1)}
       116:{1,4,6}:{(91,1),(92,1),(96,1)}
       117:{3,4,6,7}:{(92,1),(97,1),(130,1),(141,1),(142,1),(182,1)}
       118:{2,3,5,7}:{(93,1),(94,1),(131,1),(139,1),(143,1),(144,1),(206,1)}
       119:{1,2,5,6}:{(94,1),(95,1),(96,1),(140,1),(144,1),(204,1)}
       120:{2,5,6,7}:{(95,1),(97,1),(141,1)}
       121:{1,3,5,6,7}:{(96,1),(97,1),(133,1),(142,1),(145,1),(182,1)}
       122:{1,2,3,5}:{(98,1),(99,1),(146,1),(149,1),(185,1)}
       123:{2,3,4}:{(98,1),(146,1)}
       124:{1,2,4,6}:{(99,1),(100,1),(111,1),(146,1),(148,1),(149,1),(160,1)}
       125:{2,3,5}:{(100,1),(102,1),(149,1),(151,1)}
       126:{3,4,6}:{(101,1),(113,1),(151,1),(163,1)}
       127:{1,2,4,5}:{(101,1),(102,1),(103,1),(106,1),(149,1),(151,1),(155,1),(188,1)}
       128:{2,4,5,6}:{(102,1),(104,1),(115,1),(150,1),(153,1)}
       129:{1,4,5,6}:{(103,1),(104,1),(107,1),(116,1),(154,1)}
       130:{3,4,5,7}:{(104,1),(117,1),(153,1),(154,1),(192,1)}
       131:{2,3,5}:{(105,1),(106,1),(151,1),(155,1)}
       132:{1,2,5,6}:{(106,1),(107,1),(109,1),(156,1),(157,1)}
       133:{1,3,5,7}:{(107,1),(110,1),(154,1),(157,1),(192,1),(209,1)}
       134:{2,3,6}:{(108,1),(109,1),(163,1)}
       135:{1,2,4,6,7}:{(109,1),(110,1),(157,1),(158,1),(193,1)}
       136:{1,3,4,7}:{(111,1),(113,1),(148,1),(159,1),(207,1),(208,1)}
       137:{1,2,5,7}:{(111,1),(112,1),(149,1),(159,1),(160,1)}
       138:{2,3,6}:{(112,1),(115,1),(160,1),(163,1)}
       139:{3,5,7}:{(113,1),(114,1),(151,1),(163,1)}
       140:{1,2,4,6}:{(114,1),(115,1),(116,1),(119,1),(160,1),(163,1),(165,1),(194,1)}
       141:{2,4,6,7}:{(115,1),(117,1),(120,1),(153,1),(161,1)}
       142:{1,4,6,7}:{(116,1),(117,1),(121,1),(154,1)}
       143:{2,4,5,7}:{(118,1),(155,1),(162,1),(165,1),(193,1)}
       144:{2,3,5,6}:{(118,1),(119,1),(163,1),(165,1),(196,1)}
       145:{1,2,5,6,7}:{(119,1),(120,1),(121,1),(157,1),(164,1),(166,1),(209,1)}
       146:{1,2,4}:{(122,1),(123,1),(167,1)}
       147:{2,3,4,5}:{(123,1),(125,1),(168,1),(169,1),(173,1)}
       148:{1,3,4,6}:{(124,1),(126,1),(136,1),(167,1),(170,1),(179,1),(199,1),(201,1)}
       149:{1,2,5}:{(124,1),(125,1),(170,1)}
       150:{2,3,5,6}:{(125,1),(128,1),(138,1),(169,1),(171,1),(172,1),(174,1)}
       151:{3,5}:{(126,1),(127,1)}
       152:{1,2,4,5,6}:{(127,1),(128,1),(129,1),(132,1),(140,1),(171,1),(174,1),(175,1),(176,1),(183,1),(201,1),(204,1)}
       153:{2,4,5,7}:{(128,1),(130,1),(141,1),(172,1)}
       154:{1,4,5,7}:{(129,1),(130,1),(133,1),(142,1)}
       155:{2,4,5}:{(131,1),(173,1),(176,1)}
       156:{2,3,5,6}:{(131,1),(132,1),(134,1),(174,1),(176,1),(177,1)}
       157:{1,2,5,7}:{(132,1),(133,1),(135,1),(177,1)}
       158:{2,3,6,7}:{(134,1),(135,1),(177,1),(182,1)}
       159:{1,3,5,7}:{(136,1),(137,1),(139,1),(170,1),(178,1),(179,1)}
       160:{1,2,6}:{(137,1),(138,1),(179,1)}
       161:{2,3,6,7}:{(138,1),(141,1),(172,1),(180,1),(182,1)}
       162:{3,4,5,7}:{(139,1),(143,1),(173,1),(178,1),(181,1),(203,1),(206,1)}
       163:{3,6}:{(139,1),(140,1)}
       164:{1,2,4,6,7}:{(140,1),(141,1),(142,1),(145,1),(175,1),(180,1),(182,1),(184,1),(205,1)}
       165:{2,4,6}:{(143,1),(144,1),(181,1)}
       166:{2,3,5,6,7}:{(144,1),(145,1),(177,1),(182,1),(184,1),(206,1)}
       167:{1,3,4}:{(146,1),(185,1)}
       168:{1,2,4,5}:{(146,1),(147,1),(149,1),(185,1),(186,1),(188,1)}
       169:{2,3,4,6}:{(147,1),(150,1),(186,1),(187,1),(191,1)}
       170:{1,3,5}:{(148,1),(149,1),(151,1),(188,1)}
       171:{1,2,5,6}:{(149,1),(150,1),(160,1),(186,1),(189,1),(190,1)}
       172:{2,3,5,7}:{(150,1),(153,1),(161,1),(187,1),(190,1),(192,1)}
       173:{3,4,5}:{(151,1),(155,1),(188,1),(191,1)}
       174:{3,5,6}:{(151,1),(152,1),(163,1),(191,1),(192,1)}
       175:{1,2,4,5,7}:{(152,1),(153,1),(154,1),(157,1),(164,1),(190,1),(192,1),(193,1),(198,1),(208,1),(209,1)}
       176:{2,4,6}:{(155,1),(156,1),(191,1),(193,1)}
       177:{2,3,5,7}:{(156,1),(157,1),(158,1),(192,1),(193,1)}
       178:{1,4,5,7}:{(159,1),(162,1),(188,1),(194,1),(208,1),(209,1)}
       179:{1,3,6}:{(159,1),(160,1),(163,1),(194,1)}
       180:{1,2,6,7}:{(160,1),(161,1),(190,1),(195,1)}
       181:{3,4,6}:{(162,1),(163,1),(165,1),(194,1),(196,1)}
       182:{3,6,7}:{(163,1),(164,1),(192,1)}
       183:{2,4,5,6}:{(165,1),(196,1),(198,1)}
       184:{2,4,6,7}:{(165,1),(166,1),(193,1),(197,1),(198,1)}
       185:{1,3,5}:{(167,1),(168,1),(199,1)}
       186:{1,2,4,6}:{(168,1),(169,1),(171,1),(199,1),(200,1),(201,1)}
       187:{2,3,4,7}:{(169,1),(172,1),(200,1),(203,1)}
       188:{1,4,5}:{(170,1),(173,1),(201,1)}
       189:{1,3,5,6}:{(170,1),(171,1),(174,1),(179,1),(199,1),(201,1),(202,1),(204,1)}
       190:{1,2,5,7}:{(171,1),(172,1),(180,1),(200,1),(202,1)}
       191:{3,4,6}:{(173,1),(174,1),(176,1),(201,1),(203,1)}
       192:{3,5,7}:{(174,1),(175,1),(182,1),(203,1)}
       193:{2,4,7}:{(176,1),(177,1),(203,1)}
       194:{1,4,6}:{(178,1),(179,1),(181,1),(204,1)}
       195:{1,3,6,7}:{(179,1),(180,1),(182,1),(202,1),(205,1)}
       196:{3,5,6}:{(181,1),(183,1),(204,1),(206,1)}
       197:{3,4,6,7}:{(181,1),(182,1),(184,1),(203,1),(205,1),(206,1)}
       198:{2,4,5,7}:{(183,1),(184,1),(206,1)}
       199:{1,3,6}:{(185,1),(186,1),(207,1)}
       200:{1,2,4,7}:{(186,1),(187,1),(190,1),(207,1),(208,1)}
       201:{1,4,6}:{(188,1),(189,1),(191,1),(208,1)}
       202:{1,3,5,7}:{(189,1),(190,1),(192,1),(195,1),(207,1),(208,1),(209,1)}
       203:{3,4,7}:{(191,1),(192,1),(193,1),(208,1)}
       204:{1,5,6}:{(194,1),(196,1),(209,1)}
       205:{1,4,6,7}:{(194,1),(195,1),(197,1),(208,1),(209,1)}
       206:{3,5,7}:{(196,1),(197,1),(198,1),(209,1)}
       207:{1,3,7}:{(199,1),(200,1)}
       208:{1,4,7}:{(201,1),(202,1),(203,1)}
       209:{1,5,7}:{(204,1),(205,1),(206,1)}

1282 :   0:{1,2,4,5,6}:{(2,1),(3,1),(17,1),(18,1),(19,1),(42,1),(51,1),(77,1),(78,1),(81,1),(99,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(62,1),(63,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(24,1),(29,1),(30,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(6,1),(7,1),(69,1),(91,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(12,1),(43,1),(96,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(44,1),(45,1),(46,1),(81,1)}
         6:{3,5,7}:{(2,1),(3,1),(12,1),(13,1)}
         7:{3,4,6}:{(3,1),(13,1),(16,1),(17,1),(18,1),(52,1),(83,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(40,1),(52,1),(56,1),(73,1),(77,1),(84,1),(96,1),(99,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(21,1),(52,1),(53,1),(76,1),(78,1),(94,1),(96,1),(103,1)}
        10:{2,3,4,6}:{(18,1),(20,1),(21,1),(22,1),(52,1),(53,1),(83,1),(98,1)}
        11:{4,6,7}:{(4,1),(24,1),(101,1)}
        12:{3,6,7}:{(5,1),(6,1),(91,1)}
        13:{3,4,7}:{(6,1),(7,1),(29,1),(30,1),(68,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(26,1),(29,1),(31,1),(62,1),(68,1),(90,1)}
        15:{2,3,5,7}:{(6,1),(9,1),(27,1),(30,1),(31,1),(63,1),(68,1),(90,1)}
        16:{3,4,5}:{(7,1),(32,1),(33,1),(69,1),(102,1)}
        17:{1,4,6}:{(7,1),(8,1),(29,1),(32,1),(72,1),(101,1)}
        18:{2,4,6}:{(7,1),(9,1),(30,1),(33,1),(88,1),(101,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(37,1),(59,1),(70,1),(86,1)}
        20:{2,3,4,7}:{(10,1),(30,1),(35,1),(36,1),(68,1),(92,1)}
        21:{2,3,5}:{(10,1),(33,1),(37,1),(69,1),(102,1)}
        22:{1,2,4,6}:{(10,1),(36,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        23:{1,3,4,6}:{(17,1),(39,1),(40,1),(41,1),(52,1),(73,1),(83,1),(98,1)}
        24:{4,5,7}:{(11,1),(42,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(13,1),(43,1),(44,1),(45,1),(47,1),(80,1),(97,1),(98,1)}
        26:{1,3,6,7}:{(12,1),(14,1),(44,1),(46,1),(73,1),(80,1),(84,1)}
        27:{2,3,6,7}:{(12,1),(15,1),(45,1),(46,1),(53,1),(80,1),(94,1)}
        28:{3,4,5,7}:{(13,1),(16,1),(43,1),(47,1),(48,1),(49,1),(82,1),(97,1),(104,1)}
        29:{1,4,7}:{(13,1),(14,1),(17,1),(97,1)}
        30:{2,4,7}:{(13,1),(15,1),(18,1),(97,1)}
        31:{1,2,5,7}:{(14,1),(15,1),(19,1),(46,1),(50,1)}
        32:{1,4,5}:{(16,1),(17,1),(40,1),(99,1),(104,1)}
        33:{2,4,5}:{(16,1),(18,1),(21,1),(103,1),(104,1)}
        34:{1,2,4,6}:{(17,1),(18,1),(19,1),(50,1),(51,1),(52,1)}
        35:{2,3,5,7}:{(20,1),(21,1),(49,1),(53,1),(54,1),(82,1)}
        36:{1,2,4,7}:{(20,1),(22,1),(54,1),(55,1),(85,1)}
        37:{1,2,5}:{(21,1),(22,1),(56,1),(99,1)}
        38:{1,3,6}:{(22,1),(52,1),(55,1),(56,1)}
        39:{1,3,4,7}:{(23,1),(29,1),(57,1),(58,1),(68,1),(92,1)}
        40:{1,3,5}:{(23,1),(32,1),(59,1),(69,1),(102,1)}
        41:{1,2,4,6}:{(23,1),(58,1),(59,1),(60,1),(86,1),(88,1),(100,1)}
        42:{4,5,6}:{(24,1),(61,1),(101,1)}
        43:{3,5,7}:{(24,1),(25,1),(61,1),(62,1),(63,1),(102,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(62,1),(65,1),(93,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(63,1),(66,1),(100,1)}
        46:{1,2,6,7}:{(26,1),(27,1),(31,1),(70,1),(86,1)}
        47:{3,4,6}:{(28,1),(61,1),(65,1),(66,1),(91,1),(101,1)}
        48:{1,4,5,7}:{(28,1),(29,1),(32,1),(57,1),(62,1),(65,1)}
        49:{2,4,5,7}:{(28,1),(30,1),(33,1),(35,1),(63,1),(66,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(68,1)}
        51:{1,2,4,5}:{(32,1),(33,1),(34,1),(37,1),(59,1),(69,1),(72,1),(88,1)}
        52:{3,6}:{(34,1),(68,1),(69,1)}
        53:{2,3,6}:{(35,1),(66,1),(70,1),(91,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(37,1),(70,1),(71,1)}
        55:{1,3,7}:{(36,1),(38,1),(68,1)}
        56:{1,3,5}:{(37,1),(38,1),(69,1),(72,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(48,1),(73,1),(74,1),(82,1)}
        58:{1,2,4,7}:{(39,1),(41,1),(74,1),(75,1),(95,1)}
        59:{1,2,5}:{(40,1),(41,1),(76,1),(103,1)}
        60:{2,3,6}:{(41,1),(52,1),(75,1),(76,1)}
        61:{3,5,6}:{(42,1),(43,1),(47,1),(77,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(77,1),(99,1)}
        63:{2,5,7}:{(43,1),(45,1),(78,1),(103,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(50,1),(79,1),(80,1),(81,1),(97,1)}
        65:{1,4,6}:{(47,1),(48,1),(73,1),(77,1)}
        66:{2,4,6}:{(47,1),(49,1),(53,1),(78,1)}
        67:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(51,1),(54,1),(74,1),(79,1),(81,1),(82,1),(85,1),(95,1),(97,1),(99,1),(103,1),(104,1)}
        68:{3,7}:{(50,1),(52,1)}
        69:{3,5}:{(51,1),(52,1),(83,1)}
        70:{1,2,6}:{(53,1),(54,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(56,1),(82,1),(84,1),(85,1),(99,1)}
        72:{1,4}:{(56,1),(83,1)}
        73:{1,3,6}:{(57,1),(65,1),(86,1),(91,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(86,1),(87,1)}
        75:{2,3,7}:{(58,1),(60,1),(68,1)}
        76:{2,3,5}:{(59,1),(60,1),(69,1),(88,1)}
        77:{1,5,6}:{(61,1),(62,1),(65,1)}
        78:{2,5,6}:{(61,1),(63,1),(66,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(89,1),(90,1)}
        80:{3,6,7}:{(64,1),(68,1),(90,1),(91,1)}
        81:{1,2,4,6}:{(65,1),(66,1),(67,1),(70,1),(86,1),(89,1),(91,1),(93,1),(100,1),(101,1)}
        82:{3,5,7}:{(67,1),(68,1),(69,1),(91,1),(92,1),(102,1)}
        83:{3,4}:{(69,1),(72,1),(88,1)}
        84:{1,3,6}:{(70,1),(71,1),(91,1),(93,1)}
        85:{1,4,7}:{(71,1),(72,1),(92,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(94,1),(95,1),(103,1)}
        88:{2,4}:{(76,1),(83,1)}
        89:{1,2,5,6}:{(77,1),(78,1),(79,1),(81,1),(96,1),(99,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{3,6}:{(81,1),(82,1)}
        92:{3,4,7}:{(82,1),(83,1),(85,1),(95,1),(97,1),(98,1)}
        93:{1,4,6}:{(84,1),(85,1),(98,1),(99,1)}
        94:{2,3,6}:{(86,1),(87,1),(91,1),(100,1)}
        95:{2,4,7}:{(87,1),(88,1),(92,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(91,1),(101,1),(102,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{3,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(102,1)}
        99:{1,5}:{(93,1),(102,1)}
       100:{2,4,6}:{(94,1),(95,1),(98,1),(103,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{3,5}:{(98,1),(99,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1283 :   0:{2,3,4,5}:{(1,1),(2,1),(46,1),(109,1),(126,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(89,1)}
         2:{1,2,4,5}:{(0,1),(6,1),(8,1),(28,1),(84,1),(95,1)}
         3:{1,3,4,5}:{(9,1),(10,1),(19,1),(64,1),(168,1)}
         4:{3,4,5,6}:{(12,1),(13,1),(14,1),(56,1),(168,1),(212,1),(222,1)}
         5:{2,3,5,6}:{(1,1),(13,1),(15,1),(16,1),(56,1),(109,1),(174,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(15,1),(17,1),(18,1),(61,1)}
         7:{2,3,4,7}:{(1,1),(16,1),(18,1),(127,1)}
         8:{1,3,5}:{(2,1),(17,1),(19,1)}
         9:{1,3,4,6}:{(3,1),(21,1),(22,1),(23,1),(136,1)}
        10:{1,2,4,5}:{(3,1),(22,1),(24,1),(28,1),(84,1),(142,1)}
        11:{1,2,3,5}:{(8,1),(24,1),(27,1),(28,1),(84,1)}
        12:{1,4,5,6}:{(4,1),(29,1),(31,1),(191,1),(223,1)}
        13:{2,4,5,6}:{(4,1),(5,1),(32,1),(142,1),(197,1)}
        14:{3,4,5,7}:{(4,1),(31,1),(32,1),(33,1),(90,1),(209,1)}
        15:{1,2,5,6}:{(5,1),(6,1),(34,1),(35,1),(84,1),(156,1)}
        16:{2,3,5,7}:{(5,1),(7,1),(32,1),(35,1),(36,1),(90,1)}
        17:{1,3,6}:{(6,1),(8,1),(38,1)}
        18:{1,2,4,7}:{(6,1),(7,1),(35,1),(38,1),(96,1)}
        19:{1,3,4}:{(8,1),(28,1)}
        20:{3,4,5,6}:{(39,1),(40,1),(41,1),(101,1),(126,1),(187,1),(230,1)}
        21:{1,3,5,6}:{(9,1),(39,1),(42,1),(43,1),(64,1),(101,1),(132,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(42,1),(44,1),(45,1),(106,1)}
        23:{1,3,4,7}:{(9,1),(43,1),(45,1),(169,1)}
        24:{2,3,5}:{(10,1),(44,1),(46,1)}
        25:{2,3,4,5}:{(47,1),(48,1),(117,1),(168,1),(179,1)}
        26:{1,3,4,5}:{(49,1),(50,1),(114,1),(126,1),(177,1)}
        27:{1,2,3,6}:{(11,1),(17,1),(44,1),(52,1),(53,1)}
        28:{1,2,4}:{(11,1),(19,1),(46,1)}
        29:{1,3,5,6}:{(12,1),(49,1),(54,1),(55,1),(56,1),(177,1),(217,1)}
        30:{1,2,4,5,6}:{(12,1),(13,1),(15,1),(54,1),(56,1),(57,1),(61,1),(119,1),(123,1),(183,1),(190,1),(221,1),(222,1)}
        31:{1,4,5,7}:{(12,1),(14,1),(55,1),(58,1)}
        32:{2,4,5,7}:{(13,1),(14,1),(16,1),(59,1)}
        33:{3,4,6,7}:{(14,1),(58,1),(59,1),(60,1),(128,1),(189,1),(212,1)}
        34:{1,3,5,6}:{(15,1),(17,1),(56,1),(61,1),(62,1),(64,1),(132,1),(190,1)}
        35:{1,2,5,7}:{(15,1),(16,1),(18,1),(62,1),(63,1)}
        36:{2,3,6,7}:{(16,1),(59,1),(63,1),(128,1),(174,1)}
        37:{1,3,4,6}:{(17,1),(19,1),(52,1),(61,1),(64,1),(65,1),(118,1),(132,1)}
        38:{1,3,7}:{(17,1),(18,1)}
        39:{1,4,5,6}:{(20,1),(21,1),(68,1),(95,1),(163,1)}
        40:{2,4,5,6}:{(20,1),(66,1),(69,1),(157,1),(206,1)}
        41:{3,4,5,7}:{(20,1),(68,1),(69,1),(70,1),(137,1),(226,1)}
        42:{1,2,5,6}:{(21,1),(22,1),(71,1),(72,1),(84,1),(156,1)}
        43:{1,3,5,7}:{(21,1),(23,1),(68,1),(72,1),(73,1),(137,1)}
        44:{2,3,6}:{(22,1),(24,1),(75,1)}
        45:{1,2,4,7}:{(22,1),(23,1),(72,1),(75,1),(143,1)}
        46:{2,3,4}:{(24,1),(28,1)}
        47:{2,3,4,6}:{(25,1),(66,1),(76,1),(77,1),(136,1)}
        48:{1,2,4,5}:{(25,1),(76,1),(78,1),(147,1),(191,1),(199,1)}
        49:{1,3,4,6}:{(26,1),(29,1),(79,1),(80,1),(89,1)}
        50:{1,2,4,5}:{(26,1),(79,1),(81,1),(147,1),(157,1),(199,1)}
        51:{1,2,3,5,6}:{(27,1),(34,1),(71,1),(82,1),(83,1),(84,1),(86,1),(133,1),(146,1),(152,1),(156,1),(199,1),(203,1),(205,1),(227,1)}
        52:{1,2,4,6}:{(27,1),(28,1),(37,1),(74,1),(84,1),(85,1),(156,1)}
        53:{1,2,3,7}:{(27,1),(38,1),(75,1),(85,1)}
        54:{1,2,5,6}:{(29,1),(79,1),(86,1),(87,1),(199,1),(227,1)}
        55:{1,3,5,7}:{(29,1),(31,1),(80,1),(87,1),(88,1),(90,1)}
        56:{3,5,6}:{(30,1),(89,1),(90,1),(152,1),(203,1)}
        57:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(87,1),(90,1),(91,1),(96,1),(158,1),(164,1),(207,1),(209,1)}
        58:{1,4,6,7}:{(31,1),(33,1),(88,1),(92,1),(223,1)}
        59:{2,4,6,7}:{(32,1),(33,1),(36,1),(93,1),(197,1)}
        60:{3,5,6,7}:{(33,1),(92,1),(93,1),(94,1),(225,1)}
        61:{1,4,6}:{(34,1),(89,1),(95,1),(96,1)}
        62:{1,3,5,7}:{(34,1),(35,1),(38,1),(90,1),(96,1),(97,1),(164,1)}
        63:{1,2,6,7}:{(35,1),(36,1),(97,1),(156,1)}
        64:{1,3,5}:{(37,1),(84,1),(95,1),(152,1)}
        65:{1,3,4,7}:{(37,1),(38,1),(85,1),(96,1),(98,1),(153,1)}
        66:{2,3,5,6}:{(40,1),(47,1),(99,1),(100,1),(101,1),(179,1),(218,1)}
        67:{1,2,4,5,6}:{(39,1),(40,1),(42,1),(99,1),(101,1),(102,1),(106,1),(119,1),(165,1),(183,1),(215,1),(229,1),(230,1)}
        68:{1,4,5,7}:{(39,1),(41,1),(43,1),(103,1)}
        69:{2,4,5,7}:{(40,1),(41,1),(100,1),(104,1)}
        70:{3,4,6,7}:{(41,1),(103,1),(104,1),(105,1),(170,1),(187,1),(214,1)}
        71:{2,3,5,6}:{(42,1),(44,1),(101,1),(106,1),(107,1),(109,1),(174,1),(215,1)}
        72:{1,2,5,7}:{(42,1),(43,1),(45,1),(107,1),(108,1)}
        73:{1,3,6,7}:{(43,1),(103,1),(108,1),(132,1),(170,1)}
        74:{2,3,4,6}:{(44,1),(46,1),(52,1),(106,1),(109,1),(110,1),(118,1),(174,1)}
        75:{2,3,7}:{(44,1),(45,1)}
        76:{1,2,4,6}:{(47,1),(48,1),(99,1),(112,1),(113,1),(165,1)}
        77:{2,3,4,7}:{(47,1),(100,1),(113,1),(169,1)}
        78:{1,3,5}:{(48,1),(112,1),(114,1)}
        79:{1,2,4,6}:{(49,1),(50,1),(54,1),(115,1),(116,1),(123,1)}
        80:{1,3,4,7}:{(49,1),(55,1),(116,1),(127,1)}
        81:{2,3,5}:{(50,1),(115,1),(117,1)}
        82:{1,2,4,6}:{(51,1),(61,1),(106,1),(118,1),(119,1),(120,1),(123,1),(165,1)}
        83:{1,2,3,5,7}:{(51,1),(53,1),(62,1),(107,1),(120,1),(121,1),(122,1),(124,1),(166,1),(176,1),(181,1),(184,1),(216,1)}
        84:{1,2,5}:{(52,1),(64,1),(109,1)}
        85:{1,2,4,7}:{(52,1),(53,1),(65,1),(110,1),(122,1)}
        86:{2,3,5,6}:{(54,1),(56,1),(115,1),(123,1),(124,1),(179,1),(218,1),(221,1)}
        87:{1,2,5,7}:{(54,1),(55,1),(116,1),(124,1),(125,1)}
        88:{1,3,6,7}:{(55,1),(58,1),(125,1),(128,1),(217,1)}
        89:{3,4,6}:{(56,1),(61,1),(123,1),(126,1),(127,1)}
        90:{3,5,7}:{(56,1),(57,1),(127,1),(128,1)}
        91:{1,2,4,6,7}:{(57,1),(58,1),(59,1),(63,1),(125,1),(128,1),(129,1),(131,1),(183,1),(186,1),(189,1)}
        92:{1,5,6,7}:{(58,1),(60,1),(229,1)}
        93:{2,5,6,7}:{(59,1),(60,1),(215,1)}
        94:{4,5,6,7}:{(60,1),(189,1),(230,1)}
        95:{1,4,5}:{(61,1),(64,1),(126,1)}
        96:{1,4,7}:{(61,1),(62,1),(127,1)}
        97:{1,3,6,7}:{(62,1),(63,1),(128,1),(131,1),(132,1)}
        98:{1,3,5,7}:{(64,1),(65,1),(122,1),(130,1),(132,1),(181,1)}
        99:{1,2,5,6}:{(66,1),(76,1),(133,1),(134,1),(199,1),(227,1)}
       100:{2,3,5,7}:{(66,1),(69,1),(77,1),(134,1),(135,1),(137,1)}
       101:{3,5,6}:{(67,1),(136,1),(137,1),(152,1),(203,1)}
       102:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(72,1),(134,1),(137,1),(138,1),(143,1),(192,1),(198,1),(224,1),(226,1)}
       103:{1,4,6,7}:{(68,1),(70,1),(73,1),(139,1),(163,1)}
       104:{2,4,6,7}:{(69,1),(70,1),(135,1),(140,1),(206,1)}
       105:{3,5,6,7}:{(70,1),(139,1),(140,1),(141,1),(208,1)}
       106:{2,4,6}:{(71,1),(136,1),(142,1),(143,1)}
       107:{2,3,5,7}:{(71,1),(72,1),(75,1),(137,1),(143,1),(144,1),(198,1)}
       108:{1,2,6,7}:{(72,1),(73,1),(144,1),(156,1)}
       109:{2,3,5}:{(74,1),(84,1),(142,1),(152,1)}
       110:{2,3,4,7}:{(74,1),(75,1),(85,1),(143,1),(145,1),(153,1)}
       111:{1,2,3,5}:{(78,1),(81,1),(146,1),(147,1),(199,1)}
       112:{1,3,6}:{(76,1),(78,1),(149,1)}
       113:{1,2,4,7}:{(76,1),(77,1),(134,1),(149,1),(192,1)}
       114:{1,3,4}:{(78,1),(147,1)}
       115:{2,3,6}:{(79,1),(81,1),(151,1)}
       116:{1,2,4,7}:{(79,1),(80,1),(87,1),(151,1),(158,1)}
       117:{2,3,4}:{(81,1),(147,1)}
       118:{3,4,6}:{(82,1),(152,1),(153,1),(203,1)}
       119:{1,2,4,5}:{(82,1),(84,1),(95,1),(142,1),(152,1),(157,1),(191,1),(199,1)}
       120:{1,2,4,7}:{(82,1),(83,1),(96,1),(143,1),(153,1),(158,1),(192,1)}
       121:{1,2,3,6,7}:{(83,1),(97,1),(144,1),(155,1),(156,1),(159,1),(193,1),(203,1),(227,1)}
       122:{1,2,5,7}:{(84,1),(85,1),(98,1),(145,1),(156,1)}
       123:{2,4,6}:{(86,1),(89,1),(157,1),(158,1)}
       124:{2,3,5,7}:{(86,1),(87,1),(90,1),(151,1),(158,1),(159,1),(207,1)}
       125:{1,2,6,7}:{(87,1),(88,1),(159,1),(227,1)}
       126:{3,4,5}:{(89,1),(95,1),(152,1),(157,1)}
       127:{3,4,7}:{(89,1),(90,1),(96,1),(158,1)}
       128:{3,6,7}:{(90,1),(91,1),(203,1)}
       129:{1,2,5,6,7}:{(91,1),(92,1),(93,1),(162,1),(164,1),(205,1),(207,1)}
       130:{1,4,5,7}:{(95,1),(96,1),(98,1),(160,1),(163,1),(164,1)}
       131:{1,4,6,7}:{(96,1),(97,1),(161,1),(163,1),(164,1)}
       132:{1,3,6}:{(98,1),(156,1),(163,1),(203,1)}
       133:{1,3,5,6}:{(99,1),(101,1),(112,1),(165,1),(166,1),(177,1),(217,1),(229,1)}
       134:{1,2,5,7}:{(99,1),(100,1),(113,1),(166,1),(167,1)}
       135:{2,3,6,7}:{(100,1),(104,1),(167,1),(170,1),(218,1)}
       136:{3,4,6}:{(101,1),(106,1),(165,1),(168,1),(169,1)}
       137:{3,5,7}:{(101,1),(102,1),(169,1),(170,1)}
       138:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(108,1),(167,1),(170,1),(171,1),(173,1),(183,1),(211,1),(214,1)}
       139:{1,5,6,7}:{(103,1),(105,1),(190,1)}
       140:{2,5,6,7}:{(104,1),(105,1),(221,1)}
       141:{4,5,6,7}:{(105,1),(214,1),(222,1)}
       142:{2,4,5}:{(106,1),(109,1),(168,1)}
       143:{2,4,7}:{(106,1),(107,1),(169,1)}
       144:{2,3,6,7}:{(107,1),(108,1),(170,1),(173,1),(174,1)}
       145:{2,3,5,7}:{(109,1),(110,1),(122,1),(172,1),(174,1),(181,1)}
       146:{1,2,3,6}:{(111,1),(112,1),(115,1),(175,1),(176,1)}
       147:{1,2,4}:{(111,1),(114,1),(117,1)}
       148:{1,3,4,6}:{(112,1),(114,1),(118,1),(165,1),(175,1),(177,1),(178,1),(217,1)}
       149:{1,3,7}:{(112,1),(113,1)}
       150:{2,3,4,6}:{(115,1),(117,1),(118,1),(123,1),(175,1),(179,1),(180,1),(218,1)}
       151:{2,3,7}:{(115,1),(116,1)}
       152:{3,5}:{(118,1),(119,1)}
       153:{3,4,7}:{(118,1),(120,1),(181,1)}
       154:{1,2,4,5,7}:{(119,1),(120,1),(122,1),(130,1),(172,1),(181,1),(183,1),(184,1),(185,1),(210,1),(216,1),(220,1)}
       155:{1,2,4,6,7}:{(120,1),(121,1),(131,1),(173,1),(182,1),(183,1),(184,1),(186,1),(211,1)}
       156:{1,2,6}:{(122,1),(132,1),(174,1)}
       157:{2,4,5}:{(123,1),(126,1),(179,1)}
       158:{2,4,7}:{(123,1),(124,1),(127,1)}
       159:{2,3,6,7}:{(124,1),(125,1),(128,1),(186,1),(218,1)}
       160:{3,4,5,7}:{(126,1),(127,1),(130,1),(181,1),(185,1),(187,1),(188,1),(220,1)}
       161:{3,4,6,7}:{(127,1),(128,1),(131,1),(186,1),(187,1),(188,1),(189,1)}
       162:{3,5,6,7}:{(128,1),(129,1),(188,1),(189,1),(219,1)}
       163:{1,4,6}:{(130,1),(132,1),(187,1),(190,1)}
       164:{1,5,7}:{(131,1),(188,1),(190,1)}
       165:{1,4,6}:{(133,1),(136,1),(191,1),(192,1)}
       166:{1,3,5,7}:{(133,1),(134,1),(137,1),(149,1),(192,1),(193,1),(224,1)}
       167:{1,2,6,7}:{(134,1),(135,1),(193,1),(227,1)}
       168:{3,4,5}:{(136,1),(142,1),(152,1),(191,1)}
       169:{3,4,7}:{(136,1),(137,1),(143,1),(192,1)}
       170:{3,6,7}:{(137,1),(138,1),(203,1)}
       171:{1,2,5,6,7}:{(138,1),(139,1),(140,1),(196,1),(198,1),(205,1),(224,1)}
       172:{2,4,5,7}:{(142,1),(143,1),(145,1),(194,1),(197,1),(198,1)}
       173:{2,4,6,7}:{(143,1),(144,1),(195,1),(197,1),(198,1)}
       174:{2,3,6}:{(145,1),(156,1),(197,1),(203,1)}
       175:{1,2,4,6}:{(146,1),(147,1),(148,1),(150,1),(199,1),(200,1),(227,1)}
       176:{1,2,3,7}:{(146,1),(149,1),(151,1),(200,1)}
       177:{1,3,5}:{(148,1),(152,1),(191,1),(199,1)}
       178:{1,3,4,7}:{(148,1),(149,1),(153,1),(192,1),(200,1),(201,1)}
       179:{2,3,5}:{(150,1),(152,1),(157,1),(199,1)}
       180:{2,3,4,7}:{(150,1),(151,1),(153,1),(158,1),(200,1),(202,1)}
       181:{3,5,7}:{(152,1),(153,1),(154,1),(203,1)}
       182:{3,4,6,7}:{(153,1),(155,1),(203,1),(204,1),(228,1)}
       183:{1,2,4,6}:{(154,1),(156,1),(163,1),(197,1),(203,1),(205,1),(206,1),(223,1),(227,1),(228,1)}
       184:{1,2,5,7}:{(155,1),(164,1),(198,1),(204,1),(205,1),(207,1),(224,1)}
       185:{2,4,5,7}:{(157,1),(158,1),(160,1),(202,1),(206,1),(207,1)}
       186:{2,4,6,7}:{(158,1),(159,1),(161,1),(206,1),(207,1)}
       187:{3,4,6}:{(160,1),(163,1),(203,1),(206,1),(208,1),(228,1)}
       188:{3,5,7}:{(161,1),(164,1),(207,1),(208,1),(209,1)}
       189:{4,6,7}:{(162,1),(209,1),(228,1)}
       190:{1,5,6}:{(163,1),(164,1),(208,1)}
       191:{1,4,5}:{(165,1),(168,1),(177,1)}
       192:{1,4,7}:{(165,1),(166,1),(169,1)}
       193:{1,3,6,7}:{(166,1),(167,1),(170,1),(211,1),(217,1)}
       194:{3,4,5,7}:{(168,1),(169,1),(172,1),(181,1),(210,1),(212,1),(213,1),(220,1)}
       195:{3,4,6,7}:{(169,1),(170,1),(173,1),(211,1),(212,1),(213,1),(214,1)}
       196:{3,5,6,7}:{(170,1),(171,1),(213,1),(214,1),(219,1)}
       197:{2,4,6}:{(172,1),(174,1),(212,1),(215,1)}
       198:{2,5,7}:{(173,1),(213,1),(215,1)}
       199:{1,2,5}:{(175,1),(177,1),(179,1)}
       200:{1,2,4,7}:{(175,1),(176,1),(178,1),(180,1),(216,1)}
       201:{1,3,5,7}:{(177,1),(178,1),(181,1),(210,1),(216,1),(217,1)}
       202:{2,3,5,7}:{(179,1),(180,1),(181,1),(185,1),(216,1),(218,1)}
       203:{3,6}:{(181,1),(183,1)}
       204:{3,5,7}:{(182,1),(184,1),(219,1),(220,1)}
       205:{1,2,5,6}:{(183,1),(184,1),(190,1),(215,1),(219,1),(221,1),(229,1)}
       206:{2,4,6}:{(185,1),(187,1),(218,1),(221,1)}
       207:{2,5,7}:{(186,1),(188,1),(221,1)}
       208:{3,5,6}:{(187,1),(188,1),(190,1),(221,1),(222,1)}
       209:{4,5,7}:{(188,1),(189,1),(222,1)}
       210:{1,4,5,7}:{(191,1),(192,1),(194,1),(201,1),(223,1),(224,1)}
       211:{1,4,6,7}:{(192,1),(193,1),(195,1),(223,1),(224,1)}
       212:{3,4,6}:{(194,1),(197,1),(203,1),(223,1),(225,1),(228,1)}
       213:{3,5,7}:{(195,1),(198,1),(224,1),(225,1),(226,1)}
       214:{4,6,7}:{(196,1),(226,1),(228,1)}
       215:{2,5,6}:{(197,1),(198,1),(225,1)}
       216:{1,2,5,7}:{(199,1),(200,1),(201,1),(202,1),(227,1)}
       217:{1,3,6}:{(201,1),(203,1),(223,1),(227,1)}
       218:{2,3,6}:{(202,1),(203,1),(206,1),(227,1)}
       219:{3,5,6}:{(203,1),(204,1),(205,1),(228,1)}
       220:{4,5,7}:{(204,1),(228,1)}
       221:{2,5,6}:{(206,1),(207,1),(208,1)}
       222:{4,5,6}:{(208,1),(209,1),(228,1)}
       223:{1,4,6}:{(210,1),(212,1),(217,1),(229,1)}
       224:{1,5,7}:{(211,1),(213,1),(229,1)}
       225:{3,5,6}:{(212,1),(213,1),(215,1),(229,1),(230,1)}
       226:{4,5,7}:{(213,1),(214,1),(230,1)}
       227:{1,2,6}:{(216,1),(217,1),(218,1)}
       228:{4,6}:{(219,1),(220,1)}
       229:{1,5,6}:{(223,1),(224,1),(225,1)}
       230:{4,5,6}:{(225,1),(226,1),(228,1)}

1284 :   0:{1,4,5,6}:{(3,1),(4,1),(26,1),(33,1),(85,1)}
         1:{1,3,4,6}:{(6,1),(7,1),(8,1),(26,1),(38,1),(77,1),(89,1),(128,1),(141,1)}
         2:{1,5,6,7}:{(9,1),(11,1),(97,1),(101,1)}
         3:{1,4,5,7}:{(0,1),(11,1),(12,1),(46,1),(48,1),(101,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(14,1)}
         5:{3,4,5}:{(10,1),(16,1),(17,1),(62,1)}
         6:{1,3,5}:{(1,1),(16,1),(19,1),(62,1),(151,1),(162,1)}
         7:{1,3,4,7}:{(1,1),(18,1),(20,1),(48,1),(104,1),(117,1),(150,1),(163,1)}
         8:{1,2,4,6}:{(1,1),(19,1),(20,1),(21,1),(63,1),(65,1),(118,1)}
         9:{3,5,6,7}:{(2,1),(23,1),(24,1),(28,1),(70,1),(73,1)}
        10:{3,4,6}:{(4,1),(5,1),(25,1),(26,1),(27,1),(77,1)}
        11:{1,4,6,7}:{(2,1),(3,1),(24,1),(28,1)}
        12:{3,5,7}:{(3,1),(4,1),(25,1),(28,1),(30,1)}
        13:{1,3,5,6}:{(4,1),(6,1),(26,1),(29,1),(31,1),(38,1),(77,1),(85,1),(140,1)}
        14:{2,5,6}:{(4,1),(27,1),(30,1)}
        15:{3,4,5,7}:{(5,1),(25,1),(34,1),(35,1),(36,1),(73,1),(88,1),(92,1),(123,1),(172,1),(180,1)}
        16:{1,4,5}:{(5,1),(6,1),(26,1),(180,1)}
        17:{2,4,5}:{(5,1),(27,1),(32,1)}
        18:{1,3,5,7}:{(6,1),(7,1),(35,1),(38,1),(39,1),(88,1),(143,1),(167,1),(171,1)}
        19:{1,2,5}:{(6,1),(8,1),(40,1),(142,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(39,1),(41,1),(91,1),(181,1)}
        21:{2,3,6}:{(8,1),(40,1),(41,1),(77,1)}
        22:{2,3,4}:{(32,1),(43,1),(89,1)}
        23:{2,5,6,7}:{(9,1),(44,1),(52,1),(102,1)}
        24:{4,6,7}:{(9,1),(46,1)}
        25:{3,4,7}:{(10,1),(12,1),(48,1),(49,1),(104,1)}
        26:{1,4,6}:{(10,1),(13,1),(16,1),(48,1),(161,1)}
        27:{2,4,6}:{(10,1),(14,1),(17,1),(45,1),(49,1)}
        28:{3,6,7}:{(11,1),(12,1),(52,1)}
        29:{1,3,5,7}:{(12,1),(13,1),(48,1),(51,1),(53,1),(101,1),(104,1),(152,1)}
        30:{2,5,7}:{(12,1),(14,1),(49,1),(52,1)}
        31:{1,2,5,6}:{(13,1),(14,1),(19,1),(50,1),(53,1),(54,1),(63,1),(151,1),(188,1)}
        32:{2,3,5}:{(17,1),(22,1),(45,1),(57,1),(62,1)}
        33:{4,5,6}:{(46,1),(58,1),(161,1)}
        34:{3,4,6}:{(15,1),(58,1),(59,1),(60,1),(116,1),(161,1)}
        35:{1,4,5,7}:{(15,1),(16,1),(18,1),(48,1),(59,1),(101,1),(119,1),(146,1)}
        36:{2,4,5,7}:{(15,1),(17,1),(49,1),(56,1),(60,1),(102,1),(120,1),(147,1)}
        37:{1,2,4,5}:{(16,1),(17,1),(19,1),(50,1),(57,1),(62,1),(65,1),(108,1),(114,1),(151,1)}
        38:{1,3,6}:{(18,1),(59,1),(63,1),(116,1),(188,1)}
        39:{1,2,5,7}:{(18,1),(19,1),(20,1),(63,1),(64,1),(164,1),(184,1)}
        40:{2,3,5}:{(19,1),(21,1),(62,1),(65,1)}
        41:{2,3,7}:{(20,1),(21,1),(104,1),(194,1)}
        42:{2,3,4,7}:{(22,1),(56,1),(66,1),(67,1),(117,1),(147,1),(185,1),(203,1)}
        43:{1,2,4}:{(22,1),(57,1),(68,1),(114,1)}
        44:{2,4,6,7}:{(23,1),(24,1),(69,1),(70,1)}
        45:{2,3,6}:{(27,1),(32,1),(71,1),(72,1),(77,1)}
        46:{4,5,7}:{(24,1),(33,1),(73,1),(172,1)}
        47:{3,4,6,7}:{(24,1),(25,1),(28,1),(34,1),(70,1),(73,1),(74,1),(75,1),(123,1),(130,1),(172,1)}
        48:{1,4,7}:{(25,1),(26,1),(29,1),(172,1)}
        49:{2,4,7}:{(25,1),(27,1),(30,1),(71,1)}
        50:{1,2,4,6}:{(26,1),(27,1),(31,1),(37,1),(72,1),(76,1),(77,1),(80,1),(128,1)}
        51:{1,3,6,7}:{(28,1),(29,1),(38,1),(74,1),(78,1),(130,1),(167,1)}
        52:{2,6,7}:{(28,1),(30,1)}
        53:{1,2,5,7}:{(29,1),(30,1),(31,1),(76,1),(78,1),(79,1),(171,1)}
        54:{2,3,5,6}:{(31,1),(40,1),(77,1),(79,1),(80,1),(90,1),(132,1),(140,1),(142,1),(174,1),(175,1)}
        55:{2,4,5,6}:{(33,1),(69,1),(81,1),(86,1),(136,1)}
        56:{2,3,5,7}:{(32,1),(36,1),(42,1),(71,1),(82,1),(83,1),(88,1),(93,1),(207,1)}
        57:{1,2,5}:{(32,1),(43,1),(72,1),(84,1)}
        58:{3,5,6}:{(33,1),(34,1),(73,1),(85,1),(86,1)}
        59:{1,4,6}:{(34,1),(35,1),(38,1),(85,1)}
        60:{2,4,6}:{(34,1),(36,1),(82,1),(86,1)}
        61:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(39,1),(76,1),(83,1),(87,1),(88,1),(91,1),(129,1),(134,1),(139,1),(142,1),(144,1),(168,1),(171,1),(172,1),(179,1),(180,1),(198,1),(207,1)}
        62:{3,5}:{(37,1),(77,1),(89,1)}
        63:{1,2,6}:{(38,1),(39,1),(90,1)}
        64:{2,3,5,7}:{(39,1),(40,1),(41,1),(88,1),(90,1),(91,1),(142,1),(182,1),(196,1),(207,1)}
        65:{2,4}:{(40,1),(89,1)}
        66:{2,3,4,6}:{(42,1),(82,1),(93,1),(94,1),(136,1),(141,1),(177,1),(183,1),(201,1)}
        67:{1,2,4,7}:{(42,1),(43,1),(83,1),(94,1),(95,1),(139,1)}
        68:{1,3}:{(43,1)}
        69:{2,4,5,7}:{(44,1),(46,1),(55,1),(96,1),(102,1),(147,1)}
        70:{3,6,7}:{(44,1),(96,1),(97,1)}
        71:{2,3,7}:{(45,1),(49,1),(99,1),(104,1)}
        72:{1,2,6}:{(45,1),(57,1),(99,1),(100,1)}
        73:{3,5,7}:{(46,1),(47,1),(58,1),(101,1),(102,1)}
        74:{1,4,6,7}:{(47,1),(48,1),(51,1),(59,1),(97,1),(101,1),(146,1)}
        75:{2,4,6,7}:{(47,1),(49,1),(52,1),(60,1),(98,1),(102,1),(147,1)}
        76:{1,2,4,7}:{(48,1),(49,1),(50,1),(53,1),(99,1),(104,1),(107,1),(150,1)}
        77:{3,6}:{(50,1),(62,1),(104,1)}
        78:{1,2,6,7}:{(51,1),(52,1),(53,1),(63,1),(106,1),(184,1),(188,1)}
        79:{2,3,5,7}:{(53,1),(54,1),(104,1),(106,1),(107,1),(152,1),(154,1),(155,1)}
        80:{2,4,6}:{(54,1),(65,1),(105,1),(107,1),(108,1),(161,1)}
        81:{3,5,6}:{(55,1),(96,1),(109,1),(110,1)}
        82:{2,3,6}:{(56,1),(60,1),(112,1),(116,1),(209,1)}
        83:{1,2,5,7}:{(56,1),(57,1),(67,1),(99,1),(112,1),(113,1),(121,1)}
        84:{1,3,5}:{(57,1),(62,1),(68,1),(100,1),(114,1),(151,1)}
        85:{1,5,6}:{(58,1),(59,1),(101,1)}
        86:{2,5,6}:{(58,1),(60,1),(102,1)}
        87:{1,2,4,6}:{(59,1),(60,1),(61,1),(63,1),(112,1),(115,1),(116,1),(118,1),(156,1),(160,1),(161,1),(188,1),(205,1),(209,1)}
        88:{3,5,7}:{(61,1),(62,1),(104,1),(116,1),(117,1),(162,1),(165,1),(185,1)}
        89:{3,4}:{(62,1),(65,1),(114,1)}
        90:{2,3,6}:{(63,1),(64,1),(116,1),(118,1),(209,1)}
        91:{2,4,7}:{(64,1),(65,1),(117,1),(118,1),(195,1)}
        92:{3,4,5}:{(109,1),(119,1),(120,1),(165,1)}
        93:{2,3,5}:{(66,1),(120,1),(121,1),(162,1),(165,1),(206,1)}
        94:{1,2,4,6}:{(66,1),(67,1),(112,1),(121,1),(122,1),(160,1),(166,1)}
        95:{1,3,7}:{(67,1),(68,1),(122,1),(185,1)}
        96:{3,5,7}:{(69,1),(70,1),(81,1),(123,1),(124,1)}
        97:{1,6,7}:{(70,1),(124,1)}
        98:{2,3,6,7}:{(70,1),(71,1),(75,1),(82,1),(125,1),(126,1),(130,1)}
        99:{1,2,7}:{(71,1),(72,1),(127,1)}
       100:{1,3,6}:{(72,1),(77,1),(84,1),(127,1),(128,1)}
       101:{1,5,7}:{(73,1),(74,1),(85,1)}
       102:{2,5,7}:{(73,1),(75,1),(86,1)}
       103:{1,2,4,6,7}:{(74,1),(75,1),(76,1),(78,1),(87,1),(126,1),(129,1),(130,1),(133,1),(168,1),(170,1),(172,1)}
       104:{3,7}:{(76,1),(77,1)}
       105:{3,4,6}:{(77,1),(80,1),(89,1),(128,1),(131,1),(132,1),(174,1)}
       106:{2,3,6,7}:{(78,1),(79,1),(90,1),(130,1),(133,1),(174,1),(196,1)}
       107:{2,4,7}:{(79,1),(80,1),(131,1),(172,1)}
       108:{2,4,5}:{(80,1),(132,1),(142,1),(180,1)}
       109:{3,4,6}:{(81,1),(92,1),(123,1),(135,1),(136,1),(177,1)}
       110:{1,5,6}:{(81,1),(124,1),(135,1)}
       111:{2,3,5,6}:{(81,1),(82,1),(86,1),(93,1),(125,1),(136,1),(137,1),(140,1),(177,1)}
       112:{1,2,6}:{(82,1),(83,1),(138,1)}
       113:{1,3,5,7}:{(83,1),(84,1),(88,1),(95,1),(127,1),(138,1),(139,1),(145,1),(171,1),(179,1)}
       114:{1,4}:{(84,1),(89,1)}
       115:{1,2,5,6}:{(85,1),(86,1),(87,1),(129,1),(140,1),(142,1),(175,1),(179,1),(199,1)}
       116:{3,6}:{(87,1),(88,1)}
       117:{3,4,7}:{(88,1),(89,1),(91,1),(139,1),(141,1),(172,1),(183,1)}
       118:{2,4,6}:{(90,1),(91,1),(141,1),(142,1)}
       119:{1,4,5}:{(92,1),(135,1),(143,1)}
       120:{2,4,5}:{(92,1),(93,1),(136,1),(180,1)}
       121:{1,2,5}:{(93,1),(94,1),(145,1),(179,1)}
       122:{1,3,6}:{(94,1),(95,1),(145,1),(177,1)}
       123:{3,4,7}:{(96,1),(109,1),(146,1),(147,1),(185,1)}
       124:{1,5,7}:{(96,1),(97,1),(110,1),(146,1)}
       125:{2,3,5,7}:{(96,1),(98,1),(102,1),(111,1),(147,1),(148,1),(152,1),(185,1)}
       126:{1,2,6,7}:{(97,1),(98,1),(99,1),(112,1),(148,1),(149,1),(209,1)}
       127:{1,3,7}:{(99,1),(100,1),(104,1),(150,1)}
       128:{1,4,6}:{(100,1),(105,1),(114,1),(150,1),(151,1),(188,1)}
       129:{1,2,5,7}:{(101,1),(102,1),(103,1),(115,1),(152,1),(155,1),(187,1)}
       130:{3,6,7}:{(103,1),(104,1),(116,1),(152,1),(185,1)}
       131:{3,4,7}:{(104,1),(105,1),(107,1),(150,1),(154,1)}
       132:{3,5}:{(105,1),(108,1),(151,1)}
       133:{2,4,6,7}:{(106,1),(107,1),(118,1),(153,1),(155,1),(156,1),(203,1),(209,1)}
       134:{2,4,5,7}:{(107,1),(108,1),(154,1),(155,1),(156,1),(189,1)}
       135:{1,4,6}:{(109,1),(110,1),(119,1),(146,1),(157,1)}
       136:{2,4,6}:{(109,1),(111,1),(120,1),(147,1),(161,1)}
       137:{1,2,5,6}:{(110,1),(111,1),(112,1),(121,1),(148,1),(158,1),(159,1),(206,1),(209,1)}
       138:{1,3,6}:{(112,1),(113,1),(116,1),(160,1),(188,1)}
       139:{1,4,7}:{(113,1),(114,1),(117,1),(160,1),(166,1)}
       140:{3,5,6}:{(115,1),(116,1),(152,1),(161,1),(162,1)}
       141:{3,4,6}:{(116,1),(117,1),(118,1),(160,1),(161,1),(162,1)}
       142:{2,5}:{(118,1),(162,1)}
       143:{1,3,5}:{(119,1),(157,1),(163,1),(164,1),(165,1)}
       144:{1,2,4,5}:{(119,1),(120,1),(121,1),(158,1),(164,1),(165,1),(166,1),(193,1),(195,1),(206,1)}
       145:{1,3,5}:{(121,1),(122,1),(165,1),(166,1)}
       146:{1,4,7}:{(123,1),(124,1),(135,1),(167,1)}
       147:{2,4,7}:{(123,1),(125,1),(136,1),(172,1)}
       148:{1,2,5,7}:{(124,1),(125,1),(126,1),(137,1),(168,1),(169,1),(207,1)}
       149:{1,3,6,7}:{(126,1),(127,1),(130,1),(138,1),(169,1),(170,1),(208,1)}
       150:{1,4,7}:{(127,1),(128,1),(131,1),(171,1)}
       151:{1,5}:{(128,1),(132,1)}
       152:{3,5,7}:{(129,1),(130,1),(140,1),(172,1)}
       153:{3,4,6,7}:{(130,1),(131,1),(133,1),(141,1),(170,1),(172,1),(173,1),(174,1),(197,1),(200,1),(208,1)}
       154:{3,5,7}:{(131,1),(132,1),(134,1),(171,1),(174,1)}
       155:{2,5,7}:{(133,1),(142,1),(173,1),(175,1)}
       156:{2,4,6}:{(134,1),(174,1),(175,1),(200,1)}
       157:{1,3,6}:{(135,1),(143,1),(167,1),(176,1),(177,1)}
       158:{1,2,4,6}:{(135,1),(136,1),(137,1),(144,1),(168,1),(176,1),(177,1),(178,1),(201,1)}
       159:{1,3,5,6}:{(137,1),(138,1),(140,1),(145,1),(169,1),(177,1),(178,1),(179,1),(199,1),(202,1),(208,1)}
       160:{1,4,6}:{(138,1),(139,1),(141,1),(179,1)}
       161:{4,6}:{(140,1),(172,1),(180,1)}
       162:{3,5}:{(141,1),(142,1),(179,1),(180,1)}
       163:{1,3,4}:{(143,1),(181,1),(183,1)}
       164:{1,2,5}:{(143,1),(176,1),(181,1),(182,1)}
       165:{3,5}:{(144,1),(177,1),(183,1)}
       166:{1,4}:{(145,1),(183,1)}
       167:{1,3,7}:{(146,1),(157,1),(184,1),(185,1)}
       168:{1,2,4,7}:{(146,1),(147,1),(148,1),(158,1),(184,1),(185,1),(186,1),(203,1)}
       169:{1,3,5,7}:{(148,1),(149,1),(152,1),(159,1),(185,1),(186,1),(187,1),(204,1)}
       170:{1,4,6,7}:{(149,1),(150,1),(153,1),(160,1),(186,1),(187,1),(188,1),(205,1)}
       171:{1,5,7}:{(150,1),(151,1),(154,1),(188,1)}
       172:{4,7}:{(152,1),(161,1)}
       173:{3,5,7}:{(153,1),(155,1),(162,1),(187,1),(189,1),(190,1)}
       174:{3,6}:{(154,1),(156,1),(188,1)}
       175:{2,5,6}:{(155,1),(156,1),(190,1),(209,1)}
       176:{1,2,6}:{(157,1),(164,1),(184,1),(191,1)}
       177:{3,6}:{(158,1),(165,1),(185,1)}
       178:{1,4,6}:{(159,1),(161,1),(166,1),(186,1),(192,1),(193,1)}
       179:{1,5}:{(160,1),(162,1)}
       180:{4,5}:{(161,1),(162,1)}
       181:{1,2,4}:{(163,1),(164,1),(194,1),(195,1)}
       182:{2,3,5}:{(164,1),(165,1),(191,1),(194,1),(195,1),(206,1)}
       183:{3,4}:{(165,1),(166,1),(195,1)}
       184:{1,2,7}:{(167,1),(176,1),(196,1)}
       185:{3,7}:{(168,1),(177,1)}
       186:{1,4,7}:{(169,1),(172,1),(178,1),(197,1)}
       187:{1,5,7}:{(170,1),(173,1),(179,1),(199,1)}
       188:{1,6}:{(171,1),(174,1)}
       189:{4,5,7}:{(172,1),(173,1),(180,1),(200,1)}
       190:{3,5,6}:{(173,1),(174,1),(175,1),(199,1),(200,1),(208,1)}
       191:{2,3,6}:{(176,1),(177,1),(182,1),(196,1),(201,1)}
       192:{3,4,6}:{(177,1),(178,1),(183,1),(197,1),(201,1),(202,1),(208,1)}
       193:{1,4,5}:{(178,1),(179,1),(180,1),(202,1)}
       194:{2,3}:{(181,1)}
       195:{2,4}:{(182,1),(183,1)}
       196:{2,3,7}:{(184,1),(185,1),(191,1),(203,1)}
       197:{3,4,7}:{(185,1),(186,1),(192,1),(203,1),(204,1)}
       198:{1,4,5,7}:{(186,1),(187,1),(189,1),(193,1),(204,1),(205,1)}
       199:{1,5,6}:{(187,1),(188,1),(190,1),(205,1)}
       200:{4,6}:{(189,1),(190,1)}
       201:{2,4,6}:{(191,1),(192,1),(195,1),(203,1),(206,1),(209,1)}
       202:{3,5}:{(192,1),(193,1),(206,1)}
       203:{2,4,7}:{(196,1),(197,1),(201,1),(207,1)}
       204:{3,5,7}:{(197,1),(198,1),(202,1),(207,1),(208,1)}
       205:{1,4,6}:{(198,1),(199,1),(200,1),(208,1)}
       206:{2,5}:{(201,1),(202,1)}
       207:{2,5,7}:{(203,1),(204,1),(206,1),(209,1)}
       208:{3,6}:{(204,1),(205,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

1285 :   0:{1,3,4,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1),(51,1),(55,1),(83,1),(90,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(69,1),(100,1),(104,1)}
         2:{1,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(37,1),(71,1),(101,1)}
         3:{2,3,6,7}:{(1,1),(8,1),(29,1),(113,1),(117,1)}
         4:{1,2,5,7}:{(1,1),(2,1),(8,1),(9,1),(53,1),(114,1)}
         5:{1,3,5,6}:{(2,1),(9,1),(11,1),(29,1),(32,1)}
         6:{1,4,5,7}:{(2,1),(11,1),(12,1),(83,1),(86,1)}
         7:{1,3,5,6,7}:{(5,1),(13,1),(14,1),(36,1),(37,1),(67,1),(120,1)}
         8:{2,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(18,1),(125,1)}
         9:{1,2,5,6}:{(4,1),(5,1),(15,1),(17,1),(47,1),(71,1)}
        10:{1,2,4,5,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(21,1),(39,1),(41,1),(46,1),(71,1),(100,1),(102,1)}
        11:{1,4,6}:{(5,1),(6,1),(20,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(66,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(9,1),(22,1),(23,1),(53,1),(80,1),(85,1),(108,1)}
        14:{1,4,6,7}:{(7,1),(11,1),(24,1),(25,1),(83,1),(129,1)}
        15:{2,3,5,6}:{(8,1),(9,1),(26,1),(29,1),(54,1)}
        16:{2,4,7}:{(8,1),(26,1),(27,1),(132,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(11,1),(26,1),(29,1),(33,1),(55,1),(61,1)}
        18:{3,5,7}:{(10,1),(27,1),(29,1),(54,1),(113,1),(115,1)}
        19:{1,4,5,6}:{(11,1),(24,1),(32,1)}
        20:{3,4,6}:{(11,1),(12,1),(29,1),(32,1),(33,1)}
        21:{2,4,5,7}:{(12,1),(31,1),(33,1),(53,1),(84,1),(87,1)}
        22:{2,3,5,6,7}:{(13,1),(15,1),(34,1),(36,1),(63,1),(68,1),(94,1)}
        23:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(38,1),(64,1),(69,1),(100,1),(119,1)}
        24:{1,4,5,7}:{(14,1),(19,1),(37,1),(135,1)}
        25:{3,4,6,7}:{(14,1),(20,1),(36,1),(37,1),(38,1),(66,1),(134,1)}
        26:{2,4,6}:{(15,1),(16,1),(39,1),(40,1)}
        27:{3,4,7}:{(16,1),(18,1),(40,1),(41,1),(126,1)}
        28:{1,2,4,5,6}:{(17,1),(19,1),(35,1),(39,1),(43,1),(47,1),(62,1),(71,1),(75,1),(76,1),(77,1),(93,1),(102,1),(119,1),(135,1),(139,1)}
        29:{3,6}:{(17,1),(18,1)}
        30:{1,3,5,7}:{(18,1),(41,1),(44,1),(46,1),(71,1),(74,1),(103,1)}
        31:{2,3,5,7}:{(18,1),(21,1),(42,1),(45,1),(46,1),(72,1)}
        32:{3,5,6}:{(19,1),(20,1),(37,1),(47,1)}
        33:{2,4,6}:{(20,1),(21,1),(45,1),(47,1)}
        34:{2,4,6,7}:{(22,1),(26,1),(48,1),(49,1),(84,1),(107,1)}
        35:{1,2,4,5,7}:{(23,1),(24,1),(28,1),(48,1),(50,1),(53,1),(80,1),(83,1),(84,1),(85,1)}
        36:{3,6,7}:{(23,1),(29,1),(50,1),(113,1),(128,1)}
        37:{3,5,7}:{(24,1),(25,1),(32,1),(53,1),(138,1)}
        38:{2,4,6,7}:{(25,1),(33,1),(52,1),(53,1),(84,1),(137,1)}
        39:{2,4,5}:{(26,1),(54,1)}
        40:{3,4,6}:{(26,1),(27,1),(29,1),(54,1),(55,1)}
        41:{1,4,7}:{(27,1),(30,1),(55,1),(116,1)}
        42:{2,3,4,7}:{(27,1),(31,1),(56,1),(57,1),(84,1),(113,1)}
        43:{3,5,6}:{(28,1),(29,1),(50,1),(54,1),(58,1),(115,1),(128,1),(138,1)}
        44:{1,3,6}:{(29,1),(30,1),(55,1),(61,1)}
        45:{2,3,6}:{(29,1),(31,1),(33,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(57,1),(61,1),(88,1)}
        47:{2,5,6}:{(32,1),(33,1),(53,1)}
        48:{2,4,5,7}:{(34,1),(39,1),(62,1),(63,1)}
        49:{3,4,6,7}:{(34,1),(36,1),(40,1),(63,1),(64,1),(66,1),(92,1)}
        50:{3,5,7}:{(35,1),(36,1),(43,1),(66,1)}
        51:{1,3,6,7}:{(36,1),(44,1),(64,1),(67,1),(69,1),(118,1)}
        52:{2,3,6,7}:{(36,1),(38,1),(45,1),(68,1),(69,1),(133,1)}
        53:{2,5,7}:{(37,1),(38,1),(47,1),(139,1)}
        54:{3,5}:{(39,1),(40,1),(71,1)}
        55:{1,4,6}:{(40,1),(41,1),(44,1),(71,1)}
        56:{2,3,4,6}:{(40,1),(42,1),(45,1),(72,1),(73,1),(76,1),(105,1),(126,1)}
        57:{1,2,4,7}:{(41,1),(42,1),(46,1),(73,1),(74,1)}
        58:{3,4,6}:{(43,1),(66,1),(70,1),(75,1),(76,1),(105,1),(126,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(67,1),(71,1),(75,1),(77,1),(93,1),(101,1),(103,1),(105,1),(118,1)}
        60:{2,3,5,6}:{(43,1),(45,1),(47,1),(68,1),(72,1),(76,1),(77,1),(105,1),(125,1),(133,1),(139,1)}
        61:{1,2,6}:{(44,1),(45,1),(46,1)}
        62:{2,4,5,6}:{(48,1),(78,1),(107,1)}
        63:{3,5,7}:{(48,1),(49,1),(54,1),(78,1),(80,1)}
        64:{1,4,6,7}:{(49,1),(51,1),(55,1),(80,1),(83,1),(106,1)}
        65:{2,3,4,6,7}:{(49,1),(52,1),(56,1),(81,1),(82,1),(84,1),(107,1),(113,1),(128,1),(131,1),(137,1)}
        66:{3,4,7}:{(50,1),(58,1),(83,1),(84,1),(113,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(59,1),(80,1),(83,1),(85,1),(113,1)}
        68:{2,3,5,7}:{(50,1),(52,1),(53,1),(60,1),(84,1),(85,1),(113,1)}
        69:{1,2,6,7}:{(51,1),(52,1),(61,1),(85,1),(127,1)}
        70:{3,4,5}:{(54,1),(58,1),(86,1),(87,1),(115,1),(138,1)}
        71:{1,5}:{(54,1),(55,1)}
        72:{2,3,5}:{(54,1),(56,1),(87,1),(88,1),(115,1)}
        73:{1,2,4,6}:{(55,1),(56,1),(57,1),(61,1),(88,1),(89,1),(116,1)}
        74:{1,3,7}:{(57,1),(89,1),(113,1)}
        75:{1,4,6}:{(58,1),(59,1),(83,1),(86,1),(116,1)}
        76:{2,4,6}:{(58,1),(60,1),(84,1),(87,1),(132,1)}
        77:{1,2,5,6}:{(59,1),(60,1),(61,1),(85,1),(88,1),(91,1),(114,1),(127,1)}
        78:{3,5,6}:{(62,1),(63,1),(92,1),(93,1)}
        79:{3,4,5,7}:{(63,1),(66,1),(70,1),(92,1),(95,1),(96,1),(122,1)}
        80:{1,5,7}:{(63,1),(64,1),(71,1),(93,1)}
        81:{2,3,5,7}:{(63,1),(65,1),(72,1),(94,1),(96,1),(97,1),(122,1),(139,1)}
        82:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(73,1),(97,1),(98,1),(100,1),(119,1),(123,1)}
        83:{1,4,7}:{(66,1),(67,1),(75,1)}
        84:{2,4,7}:{(66,1),(68,1),(76,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(77,1),(100,1)}
        86:{1,4,5}:{(70,1),(71,1),(75,1),(101,1)}
        87:{2,4,5}:{(70,1),(72,1),(76,1),(139,1)}
        88:{1,2,5}:{(71,1),(72,1),(73,1),(103,1)}
        89:{1,3,6}:{(73,1),(74,1),(103,1),(105,1)}
        90:{1,3,4,6}:{(75,1),(99,1),(101,1),(104,1),(105,1),(118,1),(126,1),(134,1)}
        91:{1,2,4,6}:{(75,1),(76,1),(77,1),(100,1),(102,1),(105,1)}
        92:{3,4,6}:{(78,1),(79,1),(106,1),(107,1),(128,1)}
        93:{1,5,6}:{(78,1),(80,1),(106,1)}
        94:{2,3,5,6}:{(78,1),(81,1),(107,1),(108,1),(128,1)}
        95:{1,4,5,7}:{(79,1),(80,1),(83,1),(86,1),(106,1),(109,1)}
        96:{2,4,5,7}:{(79,1),(81,1),(84,1),(87,1),(107,1)}
        97:{1,2,5,7}:{(80,1),(81,1),(82,1),(88,1),(108,1),(111,1)}
        98:{1,3,6,7}:{(82,1),(89,1),(111,1),(113,1),(128,1)}
        99:{1,3,4,7}:{(83,1),(90,1),(109,1),(112,1),(113,1),(131,1)}
       100:{1,2,4,7}:{(83,1),(84,1),(85,1),(91,1),(113,1)}
       101:{1,3,5}:{(86,1),(90,1),(114,1),(115,1),(138,1)}
       102:{1,2,4,5}:{(86,1),(87,1),(88,1),(91,1),(114,1),(115,1),(116,1),(132,1)}
       103:{1,3,5}:{(88,1),(89,1),(115,1),(116,1)}
       104:{1,2,4,6}:{(90,1),(112,1),(114,1),(117,1),(127,1),(132,1),(137,1)}
       105:{3,6}:{(91,1),(113,1),(115,1)}
       106:{1,4,6}:{(92,1),(93,1),(95,1),(118,1)}
       107:{2,4,6}:{(92,1),(94,1),(96,1)}
       108:{1,2,5,6}:{(93,1),(94,1),(97,1),(119,1),(120,1),(139,1)}
       109:{1,3,5,7}:{(95,1),(99,1),(101,1),(118,1),(121,1),(122,1)}
       110:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(100,1),(102,1),(119,1),(121,1),(122,1),(123,1),(135,1),(136,1),(139,1)}
       111:{1,3,5,7}:{(97,1),(98,1),(103,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,7}:{(99,1),(104,1),(121,1),(124,1),(136,1)}
       113:{3,7}:{(100,1),(105,1)}
       114:{1,2,5}:{(101,1),(104,1),(125,1),(139,1)}
       115:{3,5}:{(102,1),(105,1),(126,1)}
       116:{1,4}:{(103,1),(126,1)}
       117:{2,3,6}:{(104,1),(105,1),(124,1),(125,1)}
       118:{1,3,6}:{(106,1),(109,1),(127,1),(128,1)}
       119:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(127,1),(128,1),(129,1),(137,1)}
       120:{1,3,5,6}:{(108,1),(111,1),(128,1),(129,1),(138,1)}
       121:{1,2,5,7}:{(109,1),(112,1),(114,1),(127,1),(130,1)}
       122:{3,5,7}:{(110,1),(113,1),(115,1),(128,1),(131,1),(138,1)}
       123:{1,4,7}:{(111,1),(116,1),(129,1),(131,1)}
       124:{2,3,7}:{(112,1),(113,1),(117,1)}
       125:{2,3,5}:{(114,1),(115,1),(117,1),(132,1)}
       126:{3,4}:{(115,1),(116,1),(132,1)}
       127:{1,2,6}:{(118,1),(121,1),(133,1)}
       128:{3,6}:{(119,1),(122,1)}
       129:{1,4,6}:{(120,1),(123,1),(134,1),(135,1)}
       130:{2,3,5,7}:{(121,1),(122,1),(124,1),(125,1),(133,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(126,1),(134,1),(136,1)}
       132:{2,4}:{(125,1),(126,1)}
       133:{2,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{3,4,6}:{(128,1),(129,1),(131,1),(137,1),(138,1)}
       135:{1,4,5}:{(129,1),(138,1)}
       136:{2,4,7}:{(130,1),(131,1),(132,1),(137,1)}
       137:{2,4,6}:{(133,1),(134,1),(136,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1286 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(64,1),(116,1)}
         1:{1,3,4,6}:{(3,1),(5,1),(6,1),(18,1),(25,1),(28,1),(64,1),(66,1)}
         2:{1,2,3,5}:{(0,1),(8,1),(10,1),(34,1),(37,1),(87,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(10,1),(11,1),(43,1)}
         4:{1,2,3,7}:{(0,1),(11,1),(96,1),(144,1),(221,1)}
         5:{1,3,5}:{(1,1),(10,1),(12,1),(37,1),(98,1)}
         6:{1,3,4,7}:{(1,1),(11,1),(14,1),(38,1),(47,1),(96,1),(189,1)}
         7:{2,3,4,6}:{(3,1),(16,1),(17,1),(18,1),(54,1),(57,1),(64,1),(66,1)}
         8:{1,2,4}:{(2,1),(18,1)}
         9:{1,2,3,5,7}:{(2,1),(4,1),(20,1),(21,1),(23,1),(59,1),(65,1),(69,1),(117,1),(119,1)}
        10:{1,2,5}:{(3,1),(5,1),(16,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(6,1),(17,1),(23,1),(208,1)}
        12:{1,4,5}:{(5,1),(24,1),(25,1),(128,1)}
        13:{1,3,5,6}:{(5,1),(22,1),(25,1),(27,1),(28,1),(29,1),(64,1),(76,1),(127,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(23,1),(26,1),(28,1),(65,1),(206,1),(226,1)}
        15:{1,4,5,6}:{(25,1),(29,1),(30,1),(76,1),(133,1)}
        16:{2,3,5}:{(7,1),(10,1),(31,1),(37,1),(98,1)}
        17:{2,3,4,7}:{(7,1),(11,1),(33,1),(38,1),(84,1),(96,1),(190,1)}
        18:{3,4}:{(8,1),(37,1)}
        19:{1,2,4,5}:{(8,1),(10,1),(12,1),(31,1),(37,1),(39,1),(44,1),(81,1),(87,1)}
        20:{1,2,4,7}:{(8,1),(9,1),(38,1),(41,1),(147,1)}
        21:{1,2,3,6}:{(9,1),(41,1),(43,1),(97,1),(145,1)}
        22:{1,2,5,6}:{(10,1),(13,1),(32,1),(39,1),(42,1),(43,1),(50,1),(136,1)}
        23:{1,2,5,7}:{(10,1),(11,1),(14,1),(33,1),(43,1),(220,1),(230,1)}
        24:{3,4,5}:{(12,1),(37,1),(44,1),(45,1)}
        25:{1,4,6}:{(12,1),(13,1),(45,1),(47,1),(155,1)}
        26:{1,4,5,7}:{(12,1),(14,1),(46,1),(47,1),(48,1),(105,1),(193,1),(222,1)}
        27:{1,3,5,7}:{(13,1),(42,1),(47,1),(49,1),(51,1),(96,1),(105,1),(154,1)}
        28:{1,3,6}:{(14,1),(43,1),(48,1),(97,1)}
        29:{3,5,6}:{(15,1),(45,1),(50,1),(51,1)}
        30:{1,4,5,7}:{(15,1),(47,1),(51,1),(52,1),(105,1),(158,1)}
        31:{2,4,5}:{(16,1),(53,1),(54,1),(128,1)}
        32:{2,3,5,6}:{(16,1),(22,1),(54,1),(56,1),(57,1),(64,1),(108,1),(115,1),(127,1)}
        33:{2,3,5,7}:{(16,1),(17,1),(23,1),(55,1),(57,1),(65,1),(207,1),(227,1)}
        34:{1,2,3}:{(58,1)}
        35:{2,3,4}:{(18,1),(58,1),(60,1)}
        36:{1,3,4}:{(18,1),(58,1),(62,1)}
        37:{3,5}:{(18,1),(19,1),(64,1)}
        38:{3,4,7}:{(18,1),(20,1),(65,1),(66,1),(170,1),(177,1)}
        39:{1,2,4,6}:{(19,1),(22,1),(25,1),(54,1),(64,1),(67,1),(71,1),(110,1),(116,1)}
        40:{1,2,4,5,7}:{(19,1),(20,1),(23,1),(26,1),(55,1),(65,1),(67,1),(68,1),(69,1),(72,1),(111,1),(117,1),(128,1),(129,1),(169,1),(177,1),(204,1)}
        41:{1,2,4,6}:{(20,1),(21,1),(66,1),(69,1)}
        42:{1,2,5,7}:{(22,1),(27,1),(56,1),(67,1),(70,1),(77,1),(160,1)}
        43:{1,2,6}:{(23,1),(28,1),(57,1)}
        44:{2,4,5}:{(24,1),(60,1),(71,1)}
        45:{3,4,6}:{(24,1),(25,1),(29,1),(64,1),(71,1),(73,1)}
        46:{3,4,5,7}:{(24,1),(26,1),(65,1),(72,1),(73,1),(74,1),(128,1),(132,1),(173,1),(177,1),(209,1)}
        47:{1,4,7}:{(25,1),(27,1),(73,1),(177,1)}
        48:{1,4,6}:{(26,1),(28,1),(74,1),(76,1)}
        49:{1,3,6,7}:{(27,1),(28,1),(70,1),(75,1),(78,1),(126,1),(226,1)}
        50:{2,5,6}:{(29,1),(71,1),(77,1)}
        51:{3,5,7}:{(29,1),(30,1),(73,1),(77,1),(78,1)}
        52:{1,4,6,7}:{(30,1),(78,1),(79,1),(135,1)}
        53:{3,4,5}:{(31,1),(37,1),(81,1),(82,1)}
        54:{2,4,6}:{(31,1),(32,1),(82,1),(84,1),(155,1)}
        55:{2,4,5,7}:{(31,1),(33,1),(83,1),(84,1),(85,1),(143,1),(196,1),(223,1)}
        56:{2,3,5,7}:{(32,1),(42,1),(84,1),(86,1),(96,1),(137,1),(143,1),(154,1)}
        57:{2,3,6}:{(33,1),(43,1),(85,1),(97,1)}
        58:{1,2,4}:{(34,1),(35,1),(36,1),(87,1)}
        59:{1,2,3,7}:{(34,1),(88,1),(89,1),(217,1),(230,1)}
        60:{2,3,5}:{(35,1),(37,1),(44,1),(87,1),(90,1)}
        61:{2,3,4,7}:{(35,1),(38,1),(88,1),(91,1),(92,1),(191,1),(217,1)}
        62:{1,3,5}:{(36,1),(37,1),(81,1),(87,1),(93,1)}
        63:{1,3,4,7}:{(36,1),(38,1),(88,1),(94,1),(95,1),(194,1),(217,1)}
        64:{3,6}:{(37,1),(39,1),(96,1)}
        65:{3,5,7}:{(37,1),(38,1),(40,1),(96,1),(97,1),(98,1),(188,1),(217,1)}
        66:{3,4,6}:{(38,1),(41,1),(97,1),(98,1),(155,1)}
        67:{1,2,4,7}:{(39,1),(42,1),(47,1),(84,1),(96,1),(101,1),(139,1),(144,1)}
        68:{1,2,4,6}:{(40,1),(43,1),(48,1),(85,1),(97,1),(100,1),(102,1),(140,1),(145,1),(155,1)}
        69:{1,2,5}:{(41,1),(98,1)}
        70:{1,2,6,7}:{(42,1),(43,1),(49,1),(86,1),(106,1),(181,1),(230,1)}
        71:{2,4,6}:{(44,1),(45,1),(50,1),(90,1),(101,1)}
        72:{2,4,5,7}:{(44,1),(46,1),(91,1),(101,1),(102,1),(150,1),(156,1),(191,1)}
        73:{3,4,7}:{(45,1),(47,1),(51,1),(96,1),(101,1)}
        74:{3,4,6}:{(46,1),(48,1),(97,1),(102,1),(104,1),(155,1)}
        75:{1,4,6,7}:{(47,1),(48,1),(49,1),(103,1),(105,1),(199,1),(222,1)}
        76:{1,5,6}:{(48,1),(104,1),(105,1)}
        77:{2,5,7}:{(50,1),(51,1),(101,1),(106,1)}
        78:{3,6,7}:{(51,1),(52,1),(106,1)}
        79:{1,5,6,7}:{(52,1),(105,1),(107,1),(199,1)}
        80:{2,4,5,6}:{(54,1),(108,1),(109,1),(115,1),(166,1)}
        81:{1,4,5}:{(53,1),(62,1),(110,1)}
        82:{3,4,6}:{(53,1),(54,1),(64,1),(108,1),(110,1),(112,1)}
        83:{3,4,5,7}:{(53,1),(55,1),(65,1),(111,1),(112,1),(113,1),(128,1),(165,1),(176,1),(177,1),(211,1)}
        84:{2,4,7}:{(54,1),(56,1),(112,1),(177,1)}
        85:{2,4,6}:{(55,1),(57,1),(113,1),(115,1)}
        86:{2,3,6,7}:{(56,1),(57,1),(70,1),(114,1),(126,1),(161,1),(227,1)}
        87:{1,2,5}:{(58,1),(60,1),(62,1),(116,1)}
        88:{1,2,4,7}:{(58,1),(59,1),(61,1),(63,1),(117,1),(118,1)}
        89:{1,2,3,6}:{(59,1),(118,1),(119,1),(205,1),(228,1)}
        90:{2,3,6}:{(60,1),(64,1),(71,1),(116,1),(120,1)}
        91:{2,3,5,7}:{(60,1),(61,1),(65,1),(72,1),(117,1),(120,1),(121,1),(122,1)}
        92:{2,3,4,6}:{(61,1),(66,1),(118,1),(121,1),(122,1),(170,1),(172,1),(205,1)}
        93:{1,3,6}:{(62,1),(64,1),(110,1),(116,1),(123,1)}
        94:{1,3,5,7}:{(62,1),(63,1),(65,1),(111,1),(117,1),(123,1),(124,1),(125,1)}
        95:{1,3,4,6}:{(63,1),(66,1),(118,1),(124,1),(125,1),(170,1),(175,1),(205,1)}
        96:{3,7}:{(64,1),(67,1)}
        97:{3,6}:{(65,1),(68,1)}
        98:{3,5}:{(66,1),(69,1),(128,1)}
        99:{1,2,4,6,7}:{(67,1),(68,1),(70,1),(75,1),(114,1),(126,1),(129,1),(130,1),(163,1),(167,1),(177,1),(204,1)}
       100:{1,2,5,6}:{(68,1),(69,1),(76,1),(115,1),(127,1),(129,1),(131,1),(164,1)}
       101:{2,4,7}:{(71,1),(73,1),(77,1),(120,1)}
       102:{2,4,6}:{(72,1),(74,1),(121,1),(131,1)}
       103:{3,4,6,7}:{(73,1),(74,1),(75,1),(78,1),(126,1),(130,1),(132,1),(135,1),(177,1),(180,1),(209,1)}
       104:{3,5,6}:{(74,1),(76,1),(131,1),(132,1),(133,1)}
       105:{1,5,7}:{(75,1),(76,1),(132,1)}
       106:{2,6,7}:{(77,1),(78,1)}
       107:{3,5,6,7}:{(78,1),(79,1),(132,1),(134,1),(135,1),(180,1)}
       108:{3,5,6}:{(80,1),(82,1),(136,1),(137,1)}
       109:{2,4,5,7}:{(80,1),(84,1),(137,1),(138,1),(143,1),(185,1)}
       110:{1,4,6}:{(81,1),(82,1),(93,1),(136,1),(139,1)}
       111:{1,4,5,7}:{(81,1),(83,1),(94,1),(139,1),(140,1),(153,1),(183,1),(194,1)}
       112:{3,4,7}:{(82,1),(84,1),(96,1),(137,1),(139,1)}
       113:{3,4,6}:{(83,1),(85,1),(97,1),(140,1),(142,1),(155,1)}
       114:{2,4,6,7}:{(84,1),(85,1),(86,1),(141,1),(143,1),(223,1),(229,1)}
       115:{2,5,6}:{(85,1),(142,1),(143,1)}
       116:{1,2,6}:{(87,1),(90,1),(93,1),(144,1)}
       117:{1,2,5,7}:{(87,1),(88,1),(91,1),(94,1),(144,1),(145,1),(146,1)}
       118:{1,2,4,6}:{(88,1),(89,1),(92,1),(95,1),(145,1),(146,1),(147,1)}
       119:{1,2,3,5}:{(89,1),(146,1),(147,1),(188,1),(220,1),(221,1)}
       120:{2,3,7}:{(90,1),(96,1),(101,1),(144,1)}
       121:{2,3,6}:{(91,1),(97,1),(102,1),(145,1)}
       122:{2,3,5}:{(92,1),(98,1),(146,1),(150,1),(188,1)}
       123:{1,3,7}:{(93,1),(96,1),(139,1),(144,1)}
       124:{1,3,6}:{(94,1),(97,1),(140,1),(145,1)}
       125:{1,3,5}:{(95,1),(98,1),(146,1),(153,1),(188,1)}
       126:{3,6,7}:{(96,1),(97,1),(99,1),(154,1),(217,1)}
       127:{3,5,6}:{(97,1),(98,1),(100,1),(154,1),(155,1)}
       128:{4,5}:{(98,1),(155,1)}
       129:{1,2,5,7}:{(99,1),(100,1),(105,1),(143,1),(154,1),(156,1),(183,1)}
       130:{2,4,6,7}:{(101,1),(102,1),(103,1),(106,1),(148,1),(156,1),(191,1)}
       131:{2,5,6}:{(102,1),(104,1),(156,1)}
       132:{3,5,7}:{(103,1),(104,1),(105,1),(156,1),(158,1)}
       133:{4,5,6}:{(104,1),(155,1),(158,1)}
       134:{2,5,6,7}:{(106,1),(107,1),(156,1),(159,1)}
       135:{4,6,7}:{(107,1),(158,1)}
       136:{1,5,6}:{(108,1),(110,1),(160,1)}
       137:{3,5,7}:{(108,1),(109,1),(112,1),(160,1),(161,1)}
       138:{2,4,6,7}:{(109,1),(161,1),(162,1),(201,1)}
       139:{1,4,7}:{(110,1),(112,1),(123,1),(160,1)}
       140:{1,4,6}:{(111,1),(113,1),(124,1),(164,1)}
       141:{3,4,6,7}:{(112,1),(113,1),(114,1),(126,1),(161,1),(163,1),(165,1),(177,1),(201,1),(211,1),(224,1)}
       142:{3,5,6}:{(113,1),(115,1),(164,1),(165,1),(166,1)}
       143:{2,5,7}:{(114,1),(115,1),(165,1)}
       144:{1,2,7}:{(116,1),(120,1),(123,1)}
       145:{1,2,6}:{(117,1),(121,1),(124,1)}
       146:{1,2,5}:{(118,1),(122,1),(125,1)}
       147:{1,2,4}:{(119,1),(170,1)}
       148:{2,3,6,7}:{(120,1),(121,1),(126,1),(130,1),(167,1),(171,1),(180,1)}
       149:{2,3,5,6}:{(121,1),(122,1),(127,1),(131,1),(168,1),(171,1),(172,1),(179,1),(205,1)}
       150:{2,4,5}:{(122,1),(128,1),(172,1),(173,1)}
       151:{1,3,6,7}:{(123,1),(124,1),(126,1),(163,1),(167,1),(174,1),(224,1)}
       152:{1,3,5,6}:{(124,1),(125,1),(127,1),(164,1),(168,1),(174,1),(175,1),(203,1),(205,1)}
       153:{1,4,5}:{(125,1),(128,1),(175,1),(176,1)}
       154:{3,5,7}:{(126,1),(127,1),(129,1),(177,1)}
       155:{4,6}:{(127,1),(128,1),(177,1)}
       156:{2,5,7}:{(130,1),(131,1),(132,1)}
       157:{2,4,5,6}:{(131,1),(133,1),(172,1),(178,1),(179,1)}
       158:{4,5,7}:{(132,1),(133,1),(135,1),(177,1)}
       159:{2,4,6,7}:{(134,1),(135,1),(178,1),(180,1)}
       160:{1,5,7}:{(136,1),(137,1),(139,1),(181,1)}
       161:{3,6,7}:{(137,1),(138,1),(181,1)}
       162:{2,5,6,7}:{(138,1),(143,1),(182,1),(229,1)}
       163:{1,4,6,7}:{(139,1),(140,1),(141,1),(151,1),(181,1),(183,1),(194,1)}
       164:{1,5,6}:{(140,1),(142,1),(183,1)}
       165:{3,5,7}:{(141,1),(142,1),(143,1),(183,1),(185,1)}
       166:{4,5,6}:{(142,1),(155,1),(185,1)}
       167:{1,2,6,7}:{(144,1),(145,1),(148,1),(151,1),(186,1),(199,1),(229,1)}
       168:{1,2,5,6}:{(145,1),(146,1),(149,1),(152,1),(186,1),(187,1),(198,1),(216,1)}
       169:{1,2,4,5}:{(146,1),(147,1),(150,1),(153,1),(187,1),(188,1),(193,1),(196,1),(220,1)}
       170:{3,4}:{(147,1),(188,1)}
       171:{2,3,5,7}:{(148,1),(149,1),(154,1),(156,1),(186,1),(191,1),(197,1),(217,1)}
       172:{2,4,6}:{(149,1),(150,1),(155,1),(191,1),(192,1)}
       173:{3,4,5}:{(150,1),(188,1),(192,1),(193,1)}
       174:{1,3,5,7}:{(151,1),(152,1),(154,1),(183,1),(186,1),(194,1),(215,1),(217,1)}
       175:{1,4,6}:{(152,1),(153,1),(155,1),(194,1),(195,1)}
       176:{3,4,5}:{(153,1),(188,1),(195,1),(196,1)}
       177:{4,7}:{(154,1),(155,1)}
       178:{2,4,5,7}:{(156,1),(157,1),(158,1),(159,1),(191,1),(197,1)}
       179:{3,5,6}:{(157,1),(192,1),(197,1),(198,1)}
       180:{3,6,7}:{(159,1),(197,1),(199,1)}
       181:{1,6,7}:{(160,1),(161,1)}
       182:{3,5,6,7}:{(161,1),(162,1),(165,1),(200,1),(201,1),(224,1)}
       183:{1,5,7}:{(163,1),(164,1),(165,1)}
       184:{1,4,5,6}:{(164,1),(166,1),(175,1),(202,1),(203,1)}
       185:{4,5,7}:{(165,1),(166,1),(177,1),(201,1)}
       186:{1,2,5,7}:{(167,1),(168,1),(171,1),(174,1),(204,1),(213,1),(225,1)}
       187:{1,2,4,6}:{(168,1),(169,1),(172,1),(175,1),(204,1),(205,1),(210,1),(212,1),(228,1)}
       188:{3,5}:{(169,1),(170,1),(205,1)}
       189:{1,3,4}:{(170,1),(206,1),(208,1)}
       190:{2,3,4}:{(170,1),(207,1),(208,1)}
       191:{2,4,7}:{(171,1),(172,1),(177,1),(209,1)}
       192:{3,4,6}:{(172,1),(173,1),(179,1),(205,1),(209,1),(210,1)}
       193:{1,4,5}:{(173,1),(206,1),(210,1)}
       194:{1,4,7}:{(174,1),(175,1),(177,1),(211,1)}
       195:{3,4,6}:{(175,1),(176,1),(203,1),(205,1),(211,1),(212,1)}
       196:{2,4,5}:{(176,1),(207,1),(212,1)}
       197:{3,5,7}:{(178,1),(179,1),(180,1),(209,1),(213,1)}
       198:{1,5,6}:{(179,1),(210,1),(213,1)}
       199:{1,6,7}:{(180,1),(213,1)}
       200:{1,5,6,7}:{(181,1),(182,1),(183,1),(214,1)}
       201:{4,6,7}:{(182,1),(185,1)}
       202:{1,4,5,7}:{(183,1),(184,1),(185,1),(194,1),(214,1),(215,1)}
       203:{3,5,6}:{(184,1),(195,1),(215,1),(216,1)}
       204:{1,2,4,7}:{(186,1),(187,1),(191,1),(194,1),(217,1),(222,1),(223,1),(230,1)}
       205:{3,6}:{(187,1),(188,1),(217,1)}
       206:{1,3,5}:{(188,1),(189,1),(193,1),(218,1),(220,1)}
       207:{2,3,5}:{(188,1),(190,1),(196,1),(219,1),(220,1)}
       208:{1,2,4}:{(189,1),(190,1),(220,1),(221,1)}
       209:{3,4,7}:{(191,1),(192,1),(197,1),(217,1),(222,1)}
       210:{1,4,6}:{(192,1),(193,1),(198,1),(218,1),(222,1)}
       211:{3,4,7}:{(194,1),(195,1),(215,1),(217,1),(223,1)}
       212:{2,4,6}:{(195,1),(196,1),(216,1),(219,1),(223,1)}
       213:{1,5,7}:{(197,1),(198,1),(199,1),(222,1)}
       214:{1,4,6,7}:{(200,1),(201,1),(202,1),(224,1)}
       215:{3,5,7}:{(202,1),(203,1),(211,1),(224,1),(225,1)}
       216:{2,5,6}:{(203,1),(212,1),(225,1)}
       217:{3,7}:{(204,1),(205,1)}
       218:{1,3,6}:{(205,1),(206,1),(210,1),(226,1),(228,1)}
       219:{2,3,6}:{(205,1),(207,1),(212,1),(227,1),(228,1)}
       220:{1,2,5}:{(206,1),(207,1),(208,1),(228,1)}
       221:{1,2,3}:{(208,1)}
       222:{1,4,7}:{(209,1),(210,1),(213,1),(226,1)}
       223:{2,4,7}:{(211,1),(212,1),(225,1),(227,1)}
       224:{3,6,7}:{(214,1),(215,1),(229,1)}
       225:{2,5,7}:{(215,1),(216,1),(223,1),(229,1)}
       226:{1,3,7}:{(217,1),(218,1),(222,1),(230,1)}
       227:{2,3,7}:{(217,1),(219,1),(223,1),(230,1)}
       228:{1,2,6}:{(218,1),(219,1),(220,1),(230,1)}
       229:{2,6,7}:{(224,1),(225,1)}
       230:{1,2,7}:{(226,1),(227,1),(228,1)}

1287 :   0:{1,4,5,6}:{(3,1),(4,1),(24,1),(79,1),(81,1)}
         1:{1,3,4,6}:{(5,1),(6,1),(7,1),(24,1),(38,1),(71,1),(76,1),(114,1),(130,1)}
         2:{3,4,5}:{(9,1),(10,1),(11,1),(50,1)}
         3:{3,5,6}:{(0,1),(9,1),(14,1),(15,1)}
         4:{1,4,5,7}:{(0,1),(15,1),(16,1),(47,1),(102,1),(104,1)}
         5:{1,3,5}:{(1,1),(10,1),(17,1),(50,1),(137,1),(153,1)}
         6:{1,2,4,6}:{(1,1),(17,1),(19,1),(20,1),(60,1),(62,1),(113,1)}
         7:{1,3,4,7}:{(1,1),(18,1),(20,1),(47,1),(100,1),(105,1),(138,1),(186,1)}
         8:{2,3,4}:{(21,1),(22,1),(76,1)}
         9:{3,4,6}:{(2,1),(3,1),(24,1),(25,1),(26,1),(71,1)}
        10:{1,4,5}:{(2,1),(5,1),(24,1),(175,1)}
        11:{2,4,5}:{(2,1),(21,1),(25,1)}
        12:{3,4,5,7}:{(2,1),(26,1),(28,1),(29,1),(30,1),(75,1),(77,1),(124,1),(163,1),(173,1),(175,1)}
        13:{1,3,5,6}:{(3,1),(5,1),(24,1),(31,1),(32,1),(38,1),(71,1),(79,1),(131,1)}
        14:{2,5,6}:{(3,1),(25,1),(33,1)}
        15:{3,5,7}:{(3,1),(4,1),(26,1),(33,1),(34,1)}
        16:{1,4,6,7}:{(4,1),(34,1),(35,1),(86,1)}
        17:{1,2,5}:{(5,1),(6,1),(36,1),(136,1)}
        18:{1,3,5,7}:{(5,1),(7,1),(28,1),(37,1),(38,1),(77,1),(159,1),(169,1),(194,1)}
        19:{2,3,6}:{(6,1),(36,1),(39,1),(71,1)}
        20:{1,2,4,7}:{(6,1),(7,1),(37,1),(39,1),(87,1),(199,1)}
        21:{2,3,5}:{(8,1),(11,1),(40,1),(41,1),(50,1)}
        22:{1,2,4}:{(8,1),(41,1),(43,1),(92,1)}
        23:{2,3,4,7}:{(8,1),(42,1),(44,1),(45,1),(105,1),(141,1),(180,1),(203,1)}
        24:{1,4,6}:{(9,1),(10,1),(13,1),(47,1),(154,1)}
        25:{2,4,6}:{(9,1),(11,1),(14,1),(40,1),(48,1)}
        26:{3,4,7}:{(9,1),(15,1),(47,1),(48,1),(100,1)}
        27:{1,2,4,5}:{(10,1),(11,1),(17,1),(41,1),(46,1),(50,1),(60,1),(92,1),(109,1),(137,1)}
        28:{1,4,5,7}:{(10,1),(12,1),(18,1),(47,1),(52,1),(102,1),(148,1),(181,1)}
        29:{2,4,5,7}:{(11,1),(12,1),(42,1),(48,1),(53,1),(98,1),(103,1),(141,1)}
        30:{3,4,6}:{(12,1),(52,1),(53,1),(54,1),(106,1),(154,1)}
        31:{1,2,5,6}:{(13,1),(14,1),(17,1),(46,1),(55,1),(56,1),(62,1),(137,1),(177,1)}
        32:{1,3,5,7}:{(13,1),(15,1),(47,1),(56,1),(57,1),(100,1),(102,1),(151,1)}
        33:{2,5,7}:{(14,1),(15,1),(48,1),(58,1)}
        34:{3,6,7}:{(15,1),(16,1),(58,1)}
        35:{1,5,6,7}:{(16,1),(59,1),(102,1),(158,1)}
        36:{2,3,5}:{(17,1),(19,1),(50,1),(60,1)}
        37:{1,2,5,7}:{(17,1),(18,1),(20,1),(61,1),(62,1),(188,1),(204,1)}
        38:{1,3,6}:{(18,1),(52,1),(62,1),(106,1),(177,1)}
        39:{2,3,7}:{(19,1),(20,1),(100,1),(206,1)}
        40:{2,3,6}:{(21,1),(25,1),(63,1),(64,1),(71,1)}
        41:{1,2,5}:{(21,1),(22,1),(63,1),(65,1)}
        42:{2,3,5,7}:{(21,1),(23,1),(29,1),(64,1),(66,1),(67,1),(70,1),(77,1),(208,1)}
        43:{1,3}:{(22,1)}
        44:{1,2,4,7}:{(22,1),(23,1),(66,1),(68,1),(69,1),(118,1)}
        45:{2,3,4,6}:{(23,1),(67,1),(69,1),(70,1),(121,1),(130,1),(166,1),(168,1),(197,1)}
        46:{1,2,4,6}:{(24,1),(25,1),(27,1),(31,1),(63,1),(71,1),(72,1),(82,1),(114,1)}
        47:{1,4,7}:{(24,1),(26,1),(32,1),(173,1)}
        48:{2,4,7}:{(25,1),(26,1),(33,1),(64,1)}
        49:{3,4,6,7}:{(26,1),(30,1),(34,1),(73,1),(74,1),(75,1),(86,1),(127,1),(135,1),(163,1),(173,1)}
        50:{3,5}:{(27,1),(71,1),(76,1)}
        51:{1,2,4,5,7}:{(27,1),(28,1),(29,1),(37,1),(66,1),(72,1),(77,1),(78,1),(87,1),(118,1),(123,1),(128,1),(133,1),(136,1),(159,1),(162,1),(164,1),(173,1),(175,1),(192,1),(208,1)}
        52:{1,4,6}:{(28,1),(30,1),(38,1),(79,1)}
        53:{2,4,6}:{(29,1),(30,1),(67,1),(80,1)}
        54:{3,5,6}:{(30,1),(75,1),(79,1),(80,1),(81,1)}
        55:{2,3,5,6}:{(31,1),(36,1),(71,1),(82,1),(83,1),(88,1),(125,1),(131,1),(136,1),(171,1),(176,1)}
        56:{1,2,5,7}:{(31,1),(32,1),(33,1),(72,1),(83,1),(84,1),(159,1)}
        57:{1,3,6,7}:{(32,1),(34,1),(38,1),(73,1),(84,1),(127,1),(194,1)}
        58:{2,6,7}:{(33,1),(34,1)}
        59:{3,5,6,7}:{(34,1),(35,1),(75,1),(85,1),(86,1),(135,1)}
        60:{2,4}:{(36,1),(76,1)}
        61:{2,3,5,7}:{(36,1),(37,1),(39,1),(77,1),(87,1),(88,1),(136,1),(170,1),(195,1),(208,1)}
        62:{1,2,6}:{(37,1),(38,1),(88,1)}
        63:{1,2,6}:{(40,1),(41,1),(89,1),(90,1)}
        64:{2,3,7}:{(40,1),(48,1),(90,1),(100,1)}
        65:{1,3,5}:{(41,1),(43,1),(50,1),(89,1),(92,1),(137,1)}
        66:{1,2,5,7}:{(41,1),(42,1),(44,1),(90,1),(93,1),(94,1),(97,1)}
        67:{2,3,6}:{(42,1),(53,1),(94,1),(106,1),(209,1)}
        68:{1,3,7}:{(43,1),(44,1),(96,1),(180,1)}
        69:{1,2,4,6}:{(44,1),(45,1),(94,1),(96,1),(97,1),(142,1),(146,1)}
        70:{2,3,5}:{(45,1),(97,1),(98,1),(147,1),(153,1),(205,1)}
        71:{3,6}:{(46,1),(50,1),(100,1)}
        72:{1,2,4,7}:{(46,1),(47,1),(48,1),(56,1),(90,1),(100,1),(110,1),(138,1)}
        73:{1,4,6,7}:{(47,1),(49,1),(52,1),(57,1),(102,1),(158,1),(181,1)}
        74:{2,4,6,7}:{(48,1),(49,1),(53,1),(58,1),(91,1),(103,1),(141,1)}
        75:{3,5,7}:{(49,1),(54,1),(102,1),(103,1),(104,1)}
        76:{3,4}:{(50,1),(60,1),(92,1)}
        77:{3,5,7}:{(50,1),(51,1),(100,1),(105,1),(106,1),(147,1),(153,1),(180,1)}
        78:{1,2,4,6}:{(51,1),(52,1),(53,1),(62,1),(94,1),(106,1),(107,1),(113,1),(142,1),(154,1),(156,1),(177,1),(201,1),(209,1)}
        79:{1,5,6}:{(52,1),(54,1),(102,1)}
        80:{2,5,6}:{(53,1),(54,1),(103,1)}
        81:{4,5,6}:{(54,1),(104,1),(154,1)}
        82:{2,4,6}:{(55,1),(60,1),(99,1),(109,1),(110,1),(154,1)}
        83:{2,3,5,7}:{(55,1),(56,1),(100,1),(110,1),(111,1),(149,1),(151,1),(157,1)}
        84:{1,2,6,7}:{(56,1),(57,1),(58,1),(62,1),(111,1),(177,1),(204,1)}
        85:{2,5,6,7}:{(58,1),(59,1),(103,1),(112,1)}
        86:{4,6,7}:{(59,1),(104,1)}
        87:{2,4,7}:{(60,1),(61,1),(105,1),(113,1),(187,1)}
        88:{2,3,6}:{(61,1),(62,1),(106,1),(113,1),(209,1)}
        89:{1,3,6}:{(63,1),(65,1),(71,1),(114,1),(115,1)}
        90:{1,2,7}:{(63,1),(64,1),(115,1)}
        91:{2,3,6,7}:{(64,1),(67,1),(74,1),(116,1),(117,1),(127,1),(135,1)}
        92:{1,4}:{(65,1),(76,1)}
        93:{1,3,5,7}:{(65,1),(66,1),(68,1),(77,1),(115,1),(118,1),(119,1),(122,1),(159,1),(164,1)}
        94:{1,2,6}:{(66,1),(67,1),(119,1)}
        95:{2,3,5,6}:{(67,1),(70,1),(80,1),(117,1),(120,1),(121,1),(131,1),(132,1),(166,1)}
        96:{1,3,6}:{(68,1),(69,1),(122,1),(166,1)}
        97:{1,2,5}:{(69,1),(70,1),(122,1),(164,1)}
        98:{2,4,5}:{(70,1),(121,1),(124,1),(175,1)}
        99:{3,4,6}:{(71,1),(76,1),(82,1),(114,1),(125,1),(126,1),(171,1)}
       100:{3,7}:{(71,1),(72,1)}
       101:{1,2,4,6,7}:{(72,1),(73,1),(74,1),(78,1),(84,1),(116,1),(127,1),(128,1),(134,1),(160,1),(162,1),(173,1)}
       102:{1,5,7}:{(73,1),(75,1),(79,1)}
       103:{2,5,7}:{(74,1),(75,1),(80,1)}
       104:{4,5,7}:{(75,1),(81,1),(86,1),(173,1)}
       105:{3,4,7}:{(76,1),(77,1),(87,1),(118,1),(130,1),(168,1),(173,1)}
       106:{3,6}:{(77,1),(78,1)}
       107:{1,2,5,6}:{(78,1),(79,1),(80,1),(128,1),(131,1),(136,1),(164,1),(176,1),(191,1)}
       108:{2,4,5,6}:{(80,1),(81,1),(121,1),(129,1),(132,1)}
       109:{2,4,5}:{(82,1),(125,1),(136,1),(175,1)}
       110:{2,4,7}:{(82,1),(83,1),(126,1),(173,1)}
       111:{2,3,6,7}:{(83,1),(84,1),(88,1),(127,1),(134,1),(171,1),(195,1)}
       112:{2,4,6,7}:{(85,1),(86,1),(129,1),(135,1)}
       113:{2,4,6}:{(87,1),(88,1),(130,1),(136,1)}
       114:{1,4,6}:{(89,1),(92,1),(99,1),(137,1),(138,1),(177,1)}
       115:{1,3,7}:{(89,1),(90,1),(100,1),(138,1)}
       116:{1,2,6,7}:{(90,1),(91,1),(94,1),(139,1),(140,1),(158,1),(209,1)}
       117:{2,3,5,7}:{(91,1),(95,1),(103,1),(140,1),(141,1),(151,1),(152,1),(180,1)}
       118:{1,4,7}:{(92,1),(93,1),(105,1),(142,1),(146,1)}
       119:{1,3,6}:{(93,1),(94,1),(106,1),(142,1),(177,1)}
       120:{1,2,5,6}:{(94,1),(95,1),(97,1),(140,1),(143,1),(144,1),(155,1),(205,1),(209,1)}
       121:{2,4,6}:{(95,1),(98,1),(141,1),(145,1),(154,1)}
       122:{1,3,5}:{(96,1),(97,1),(146,1),(147,1)}
       123:{1,2,4,5}:{(97,1),(98,1),(144,1),(146,1),(147,1),(148,1),(182,1),(187,1),(188,1),(205,1)}
       124:{3,4,5}:{(98,1),(145,1),(147,1),(148,1)}
       125:{3,5}:{(99,1),(109,1),(137,1)}
       126:{3,4,7}:{(99,1),(100,1),(110,1),(138,1),(149,1)}
       127:{3,6,7}:{(100,1),(101,1),(106,1),(151,1),(180,1)}
       128:{1,2,5,7}:{(101,1),(102,1),(103,1),(107,1),(151,1),(157,1),(178,1)}
       129:{2,4,5,7}:{(103,1),(104,1),(108,1),(112,1),(141,1),(152,1)}
       130:{3,4,6}:{(105,1),(106,1),(113,1),(142,1),(153,1),(154,1)}
       131:{3,5,6}:{(106,1),(107,1),(151,1),(153,1),(154,1)}
       132:{3,5,6}:{(108,1),(145,1),(152,1),(155,1)}
       133:{2,4,5,7}:{(109,1),(110,1),(149,1),(156,1),(157,1),(190,1)}
       134:{2,4,6,7}:{(110,1),(111,1),(113,1),(150,1),(156,1),(157,1),(203,1),(209,1)}
       135:{3,6,7}:{(112,1),(152,1),(158,1)}
       136:{2,5}:{(113,1),(153,1)}
       137:{1,5}:{(114,1),(125,1)}
       138:{1,4,7}:{(114,1),(115,1),(126,1),(159,1)}
       139:{1,3,6,7}:{(115,1),(116,1),(119,1),(127,1),(160,1),(161,1),(207,1)}
       140:{1,2,5,7}:{(116,1),(117,1),(120,1),(161,1),(162,1),(174,1),(208,1)}
       141:{2,4,7}:{(117,1),(121,1),(163,1),(173,1)}
       142:{1,4,6}:{(118,1),(119,1),(130,1),(164,1)}
       143:{1,3,5,6}:{(119,1),(120,1),(122,1),(131,1),(161,1),(164,1),(165,1),(166,1),(191,1),(196,1),(207,1)}
       144:{1,2,4,6}:{(120,1),(121,1),(123,1),(162,1),(165,1),(166,1),(167,1),(197,1),(198,1)}
       145:{3,4,6}:{(121,1),(124,1),(132,1),(163,1),(166,1),(167,1)}
       146:{1,4}:{(122,1),(168,1)}
       147:{3,5}:{(123,1),(166,1),(168,1)}
       148:{1,4,5}:{(124,1),(167,1),(169,1)}
       149:{3,5,7}:{(125,1),(126,1),(133,1),(159,1),(171,1)}
       150:{3,4,6,7}:{(126,1),(127,1),(130,1),(134,1),(160,1),(171,1),(172,1),(173,1),(193,1),(200,1),(207,1)}
       151:{3,5,7}:{(127,1),(128,1),(131,1),(173,1)}
       152:{3,5,7}:{(129,1),(132,1),(135,1),(163,1),(174,1)}
       153:{3,5}:{(130,1),(136,1),(164,1),(175,1)}
       154:{4,6}:{(131,1),(173,1),(175,1)}
       155:{1,5,6}:{(132,1),(167,1),(174,1)}
       156:{2,4,6}:{(133,1),(171,1),(176,1),(200,1)}
       157:{2,5,7}:{(134,1),(136,1),(172,1),(176,1)}
       158:{1,6,7}:{(135,1),(174,1)}
       159:{1,5,7}:{(137,1),(138,1),(149,1),(177,1)}
       160:{1,4,6,7}:{(138,1),(139,1),(142,1),(150,1),(177,1),(178,1),(179,1),(201,1)}
       161:{1,3,5,7}:{(139,1),(140,1),(143,1),(151,1),(178,1),(179,1),(180,1),(202,1)}
       162:{1,2,4,7}:{(140,1),(141,1),(144,1),(179,1),(180,1),(181,1),(203,1),(204,1)}
       163:{3,4,7}:{(141,1),(145,1),(152,1),(180,1),(181,1)}
       164:{1,5}:{(142,1),(153,1)}
       165:{1,4,6}:{(143,1),(146,1),(154,1),(179,1),(182,1),(183,1)}
       166:{3,6}:{(144,1),(147,1),(180,1)}
       167:{1,4,6}:{(145,1),(148,1),(155,1),(181,1),(184,1)}
       168:{3,4}:{(146,1),(147,1),(187,1)}
       169:{1,3,5}:{(147,1),(148,1),(184,1),(186,1),(188,1)}
       170:{2,3,5}:{(147,1),(185,1),(187,1),(188,1),(205,1),(206,1)}
       171:{3,6}:{(149,1),(156,1),(177,1)}
       172:{3,5,7}:{(150,1),(153,1),(157,1),(178,1),(189,1),(190,1)}
       173:{4,7}:{(151,1),(154,1)}
       174:{1,5,7}:{(152,1),(155,1),(158,1),(181,1)}
       175:{4,5}:{(153,1),(154,1)}
       176:{2,5,6}:{(156,1),(157,1),(189,1),(209,1)}
       177:{1,6}:{(159,1),(171,1)}
       178:{1,5,7}:{(160,1),(164,1),(172,1),(191,1)}
       179:{1,4,7}:{(161,1),(165,1),(173,1),(193,1)}
       180:{3,7}:{(162,1),(166,1)}
       181:{1,4,7}:{(163,1),(167,1),(174,1),(194,1)}
       182:{1,4,5}:{(164,1),(165,1),(175,1),(196,1)}
       183:{3,4,6}:{(165,1),(166,1),(168,1),(193,1),(196,1),(197,1),(207,1)}
       184:{1,3,6}:{(166,1),(167,1),(169,1),(194,1),(198,1)}
       185:{2,3,6}:{(166,1),(170,1),(195,1),(197,1),(198,1)}
       186:{1,3,4}:{(168,1),(169,1),(199,1)}
       187:{2,4}:{(168,1),(170,1)}
       188:{1,2,5}:{(169,1),(170,1),(198,1),(199,1)}
       189:{3,5,6}:{(171,1),(172,1),(176,1),(191,1),(200,1),(207,1)}
       190:{4,5,7}:{(172,1),(173,1),(175,1),(200,1)}
       191:{1,5,6}:{(177,1),(178,1),(189,1),(201,1)}
       192:{1,4,5,7}:{(178,1),(179,1),(182,1),(190,1),(201,1),(202,1)}
       193:{3,4,7}:{(179,1),(180,1),(183,1),(202,1),(203,1)}
       194:{1,3,7}:{(180,1),(181,1),(184,1),(204,1)}
       195:{2,3,7}:{(180,1),(185,1),(203,1),(204,1)}
       196:{3,5}:{(182,1),(183,1),(205,1)}
       197:{2,4,6}:{(183,1),(185,1),(187,1),(203,1),(205,1),(209,1)}
       198:{1,2,6}:{(184,1),(185,1),(188,1),(204,1)}
       199:{1,2,4}:{(186,1),(187,1),(188,1),(206,1)}
       200:{4,6}:{(189,1),(190,1)}
       201:{1,4,6}:{(191,1),(192,1),(200,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(196,1),(207,1),(208,1)}
       203:{2,4,7}:{(193,1),(195,1),(197,1),(208,1)}
       204:{1,2,7}:{(194,1),(195,1),(198,1)}
       205:{2,5}:{(196,1),(197,1)}
       206:{2,3}:{(199,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{2,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

1288 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(23,1),(165,1),(177,1),(209,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(63,1),(71,1),(120,1)}
         2:{1,4,5,6}:{(0,1),(8,1),(11,1),(183,1),(217,1)}
         3:{2,4,5,6}:{(0,1),(9,1),(12,1),(150,1),(201,1)}
         4:{3,4,5,7}:{(0,1),(11,1),(12,1),(13,1),(42,1),(149,1)}
         5:{2,3,4,6}:{(1,1),(9,1),(14,1),(15,1),(41,1)}
         6:{1,2,4,5}:{(1,1),(14,1),(16,1),(50,1),(84,1),(92,1)}
         7:{1,3,4,5}:{(17,1),(18,1),(63,1),(103,1),(157,1)}
         8:{1,3,5,6}:{(2,1),(17,1),(19,1),(20,1),(23,1),(157,1),(206,1)}
         9:{2,3,5,6}:{(3,1),(5,1),(21,1),(22,1),(23,1),(120,1),(181,1)}
        10:{1,2,4,5,6}:{(2,1),(3,1),(19,1),(21,1),(23,1),(24,1),(57,1),(60,1),(107,1),(170,1),(173,1),(175,1),(177,1)}
        11:{1,4,5,7}:{(2,1),(4,1),(20,1),(25,1)}
        12:{2,4,5,7}:{(3,1),(4,1),(22,1),(26,1)}
        13:{3,4,6,7}:{(4,1),(25,1),(26,1),(27,1),(65,1),(119,1),(209,1)}
        14:{1,2,4,6}:{(5,1),(6,1),(21,1),(28,1),(29,1),(60,1)}
        15:{2,3,4,7}:{(5,1),(22,1),(29,1),(64,1)}
        16:{1,3,5}:{(6,1),(28,1),(31,1)}
        17:{1,3,4,6}:{(7,1),(8,1),(32,1),(33,1),(41,1)}
        18:{1,2,4,5}:{(7,1),(32,1),(34,1),(77,1),(81,1),(129,1)}
        19:{1,2,5,6}:{(8,1),(32,1),(35,1),(36,1),(129,1),(187,1)}
        20:{1,3,5,7}:{(8,1),(11,1),(33,1),(36,1),(37,1),(42,1)}
        21:{1,2,5,6}:{(9,1),(14,1),(38,1),(39,1),(92,1),(154,1)}
        22:{2,3,5,7}:{(9,1),(12,1),(15,1),(39,1),(40,1),(42,1)}
        23:{3,5,6}:{(10,1),(41,1),(42,1),(136,1),(193,1)}
        24:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(36,1),(39,1),(42,1),(43,1),(82,1),(85,1),(143,1),(146,1),(149,1)}
        25:{1,4,6,7}:{(11,1),(13,1),(37,1),(44,1),(217,1)}
        26:{2,4,6,7}:{(12,1),(13,1),(40,1),(45,1),(201,1)}
        27:{3,5,6,7}:{(13,1),(44,1),(45,1),(46,1),(220,1)}
        28:{1,3,6}:{(14,1),(16,1),(49,1)}
        29:{1,2,4,7}:{(14,1),(15,1),(39,1),(49,1),(85,1)}
        30:{1,2,3,5}:{(16,1),(47,1),(50,1),(92,1),(96,1)}
        31:{1,3,4}:{(16,1),(50,1)}
        32:{1,2,4,6}:{(17,1),(18,1),(19,1),(52,1),(53,1),(57,1)}
        33:{1,3,4,7}:{(17,1),(20,1),(53,1),(64,1)}
        34:{2,3,5}:{(18,1),(52,1),(55,1)}
        35:{2,3,5,6}:{(19,1),(23,1),(52,1),(57,1),(58,1),(101,1),(162,1),(173,1)}
        36:{1,2,5,7}:{(19,1),(20,1),(53,1),(58,1),(59,1)}
        37:{1,3,6,7}:{(20,1),(25,1),(59,1),(65,1),(206,1)}
        38:{1,3,5,6}:{(21,1),(23,1),(28,1),(60,1),(61,1),(69,1),(125,1),(175,1)}
        39:{1,2,5,7}:{(21,1),(22,1),(29,1),(61,1),(62,1)}
        40:{2,3,6,7}:{(22,1),(26,1),(62,1),(65,1),(181,1)}
        41:{3,4,6}:{(23,1),(57,1),(60,1),(63,1),(64,1)}
        42:{3,5,7}:{(23,1),(24,1),(64,1),(65,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(59,1),(62,1),(65,1),(66,1),(112,1),(115,1),(119,1),(170,1)}
        44:{1,5,6,7}:{(25,1),(27,1),(225,1)}
        45:{2,5,6,7}:{(26,1),(27,1),(215,1)}
        46:{4,5,6,7}:{(27,1),(119,1),(227,1)}
        47:{1,2,3,6}:{(28,1),(30,1),(67,1),(68,1),(126,1)}
        48:{1,3,4,6}:{(28,1),(31,1),(60,1),(67,1),(69,1),(70,1),(106,1),(125,1)}
        49:{1,3,7}:{(28,1),(29,1)}
        50:{1,2,4}:{(30,1),(31,1),(71,1)}
        51:{1,3,4,5}:{(31,1),(69,1),(72,1),(73,1),(165,1)}
        52:{2,3,6}:{(32,1),(34,1),(76,1)}
        53:{1,2,4,7}:{(32,1),(33,1),(36,1),(76,1),(82,1)}
        54:{1,2,3,5}:{(34,1),(74,1),(77,1),(129,1),(133,1)}
        55:{2,3,4}:{(34,1),(77,1)}
        56:{1,2,3,5,6}:{(35,1),(38,1),(47,1),(74,1),(79,1),(80,1),(92,1),(129,1),(136,1),(151,1),(154,1),(184,1),(187,1),(193,1),(196,1)}
        57:{2,4,6}:{(35,1),(41,1),(81,1),(82,1)}
        58:{2,3,5,7}:{(35,1),(36,1),(42,1),(76,1),(82,1),(83,1),(143,1)}
        59:{1,2,6,7}:{(36,1),(37,1),(83,1),(187,1)}
        60:{1,4,6}:{(38,1),(41,1),(84,1),(85,1)}
        61:{1,3,5,7}:{(38,1),(39,1),(42,1),(49,1),(85,1),(86,1),(146,1)}
        62:{1,2,6,7}:{(39,1),(40,1),(86,1),(154,1)}
        63:{3,4,5}:{(41,1),(81,1),(84,1),(136,1)}
        64:{3,4,7}:{(41,1),(42,1),(82,1),(85,1)}
        65:{3,6,7}:{(42,1),(43,1),(193,1)}
        66:{1,2,5,6,7}:{(43,1),(44,1),(45,1),(90,1),(143,1),(146,1),(196,1)}
        67:{1,2,4,6}:{(47,1),(48,1),(50,1),(91,1),(92,1),(93,1),(154,1)}
        68:{1,2,3,7}:{(47,1),(49,1),(93,1),(156,1)}
        69:{1,3,5}:{(48,1),(84,1),(92,1),(136,1)}
        70:{1,3,4,7}:{(48,1),(49,1),(85,1),(93,1),(95,1),(137,1)}
        71:{2,3,4}:{(50,1),(96,1)}
        72:{1,2,4,5}:{(50,1),(51,1),(92,1),(96,1),(97,1),(150,1)}
        73:{1,3,4,6}:{(51,1),(94,1),(97,1),(98,1),(190,1)}
        74:{1,2,3,6}:{(52,1),(54,1),(99,1),(100,1),(163,1)}
        75:{2,3,4,6}:{(52,1),(55,1),(57,1),(99,1),(101,1),(102,1),(106,1),(162,1)}
        76:{2,3,7}:{(52,1),(53,1)}
        77:{1,2,4}:{(54,1),(55,1),(103,1)}
        78:{2,3,4,5}:{(55,1),(101,1),(104,1),(105,1),(165,1)}
        79:{1,2,4,6}:{(56,1),(57,1),(60,1),(106,1),(107,1),(108,1),(178,1),(203,1)}
        80:{1,2,3,5,7}:{(56,1),(58,1),(61,1),(68,1),(100,1),(108,1),(109,1),(123,1),(160,1),(167,1),(171,1),(180,1),(205,1)}
        81:{2,4,5}:{(57,1),(63,1),(101,1)}
        82:{2,4,7}:{(57,1),(58,1),(64,1)}
        83:{2,3,6,7}:{(58,1),(59,1),(65,1),(112,1),(162,1)}
        84:{1,4,5}:{(60,1),(63,1),(69,1)}
        85:{1,4,7}:{(60,1),(61,1),(64,1)}
        86:{1,3,6,7}:{(61,1),(62,1),(65,1),(115,1),(125,1)}
        87:{3,4,5,6}:{(63,1),(110,1),(113,1),(116,1),(117,1),(166,1),(227,1)}
        88:{3,4,5,7}:{(63,1),(64,1),(111,1),(114,1),(117,1),(118,1),(167,1),(212,1)}
        89:{3,4,6,7}:{(64,1),(65,1),(112,1),(115,1),(117,1),(118,1),(119,1)}
        90:{3,5,6,7}:{(65,1),(66,1),(118,1),(119,1),(211,1)}
        91:{2,3,4,6}:{(67,1),(71,1),(106,1),(120,1),(121,1),(126,1),(178,1),(181,1)}
        92:{1,2,5}:{(67,1),(69,1),(120,1)}
        93:{1,2,4,7}:{(67,1),(68,1),(70,1),(121,1),(123,1)}
        94:{1,3,5,6}:{(69,1),(73,1),(113,1),(122,1),(124,1),(125,1),(166,1)}
        95:{1,3,5,7}:{(69,1),(70,1),(114,1),(123,1),(125,1),(167,1)}
        96:{2,3,5}:{(71,1),(72,1),(126,1)}
        97:{1,2,4,6}:{(72,1),(73,1),(122,1),(126,1),(127,1),(178,1)}
        98:{1,3,4,7}:{(73,1),(124,1),(127,1),(208,1)}
        99:{1,2,4,6}:{(74,1),(75,1),(77,1),(128,1),(129,1),(130,1),(187,1)}
       100:{1,2,3,7}:{(74,1),(76,1),(130,1),(189,1)}
       101:{2,3,5}:{(75,1),(81,1),(129,1),(136,1)}
       102:{2,3,4,7}:{(75,1),(76,1),(82,1),(130,1),(132,1),(137,1)}
       103:{1,3,4}:{(77,1),(133,1)}
       104:{1,2,4,5}:{(77,1),(78,1),(129,1),(133,1),(134,1),(183,1)}
       105:{2,3,4,6}:{(78,1),(131,1),(134,1),(135,1),(190,1)}
       106:{3,4,6}:{(79,1),(136,1),(137,1),(193,1)}
       107:{1,2,4,5}:{(79,1),(81,1),(84,1),(92,1),(129,1),(136,1),(150,1),(183,1)}
       108:{1,2,4,7}:{(79,1),(80,1),(82,1),(85,1),(137,1),(200,1),(216,1)}
       109:{1,2,3,6,7}:{(80,1),(83,1),(86,1),(140,1),(154,1),(187,1),(193,1),(202,1),(218,1)}
       110:{2,4,5,6}:{(81,1),(87,1),(131,1),(141,1),(142,1)}
       111:{2,4,5,7}:{(81,1),(82,1),(88,1),(132,1),(142,1),(143,1)}
       112:{2,4,6,7}:{(82,1),(83,1),(89,1),(142,1),(143,1)}
       113:{1,4,5,6}:{(84,1),(87,1),(94,1),(144,1),(145,1)}
       114:{1,4,5,7}:{(84,1),(85,1),(88,1),(95,1),(145,1),(146,1)}
       115:{1,4,6,7}:{(85,1),(86,1),(89,1),(145,1),(146,1)}
       116:{3,4,5,7}:{(87,1),(141,1),(144,1),(147,1),(192,1),(230,1)}
       117:{3,4,6}:{(88,1),(142,1),(145,1),(148,1),(193,1),(222,1)}
       118:{3,5,7}:{(89,1),(143,1),(146,1),(148,1),(149,1)}
       119:{4,6,7}:{(90,1),(149,1),(222,1)}
       120:{2,3,5}:{(91,1),(92,1),(136,1),(150,1)}
       121:{2,3,4,7}:{(91,1),(93,1),(137,1),(152,1),(156,1),(200,1)}
       122:{1,2,5,6}:{(92,1),(94,1),(97,1),(151,1),(153,1),(154,1)}
       123:{1,2,5,7}:{(92,1),(93,1),(95,1),(152,1),(154,1)}
       124:{1,3,5,7}:{(94,1),(98,1),(144,1),(153,1),(155,1),(192,1)}
       125:{1,3,6}:{(95,1),(145,1),(154,1),(193,1)}
       126:{2,3,6}:{(96,1),(97,1),(156,1)}
       127:{1,2,4,7}:{(97,1),(98,1),(153,1),(156,1),(200,1)}
       128:{1,3,4,6}:{(99,1),(103,1),(106,1),(157,1),(158,1),(163,1),(203,1),(206,1)}
       129:{1,2,5}:{(99,1),(101,1),(157,1)}
       130:{1,2,4,7}:{(99,1),(100,1),(102,1),(158,1),(160,1)}
       131:{2,3,5,6}:{(101,1),(105,1),(110,1),(159,1),(161,1),(162,1),(166,1)}
       132:{2,3,5,7}:{(101,1),(102,1),(111,1),(160,1),(162,1),(167,1)}
       133:{1,3,5}:{(103,1),(104,1),(163,1)}
       134:{1,2,4,6}:{(104,1),(105,1),(159,1),(163,1),(164,1),(203,1)}
       135:{2,3,4,7}:{(105,1),(161,1),(164,1),(208,1)}
       136:{3,5}:{(106,1),(107,1)}
       137:{3,4,7}:{(106,1),(108,1),(167,1)}
       138:{1,2,4,5,6}:{(107,1),(110,1),(113,1),(122,1),(159,1),(166,1),(169,1),(170,1),(178,1),(203,1),(215,1),(225,1),(227,1)}
       139:{1,2,4,5,7}:{(107,1),(108,1),(111,1),(114,1),(123,1),(160,1),(167,1),(170,1),(171,1),(179,1),(204,1),(212,1)}
       140:{1,2,4,6,7}:{(108,1),(109,1),(112,1),(115,1),(168,1),(170,1),(171,1),(214,1),(224,1)}
       141:{2,4,5,7}:{(110,1),(116,1),(161,1),(172,1)}
       142:{2,4,6}:{(111,1),(117,1),(162,1),(173,1)}
       143:{2,5,7}:{(112,1),(118,1),(173,1)}
       144:{1,4,5,7}:{(113,1),(116,1),(124,1),(174,1)}
       145:{1,4,6}:{(114,1),(117,1),(125,1),(175,1)}
       146:{1,5,7}:{(115,1),(118,1),(175,1)}
       147:{3,4,6,7}:{(116,1),(117,1),(172,1),(174,1),(176,1),(210,1),(228,1)}
       148:{3,5,6}:{(117,1),(118,1),(173,1),(175,1),(177,1)}
       149:{4,5,7}:{(118,1),(119,1),(177,1)}
       150:{2,4,5}:{(120,1),(165,1),(178,1)}
       151:{2,3,5,6}:{(120,1),(122,1),(126,1),(166,1),(178,1),(180,1),(181,1),(215,1)}
       152:{2,3,5,7}:{(120,1),(121,1),(123,1),(167,1),(179,1),(181,1)}
       153:{1,2,5,7}:{(122,1),(124,1),(127,1),(180,1),(182,1)}
       154:{1,2,6}:{(123,1),(125,1),(181,1)}
       155:{1,3,6,7}:{(124,1),(125,1),(174,1),(182,1),(210,1)}
       156:{2,3,7}:{(126,1),(127,1)}
       157:{1,3,5}:{(128,1),(129,1),(136,1),(183,1)}
       158:{1,3,4,7}:{(128,1),(130,1),(137,1),(185,1),(189,1),(216,1)}
       159:{1,2,5,6}:{(129,1),(131,1),(134,1),(184,1),(186,1),(187,1)}
       160:{1,2,5,7}:{(129,1),(130,1),(132,1),(185,1),(187,1)}
       161:{2,3,5,7}:{(131,1),(135,1),(141,1),(186,1),(188,1),(192,1)}
       162:{2,3,6}:{(132,1),(142,1),(187,1),(193,1)}
       163:{1,3,6}:{(133,1),(134,1),(189,1)}
       164:{1,2,4,7}:{(134,1),(135,1),(186,1),(189,1),(216,1)}
       165:{3,4,5}:{(136,1),(150,1),(183,1),(190,1)}
       166:{3,5,6}:{(136,1),(138,1),(190,1),(192,1),(193,1)}
       167:{3,5,7}:{(136,1),(137,1),(139,1),(193,1)}
       168:{3,4,6,7}:{(137,1),(140,1),(193,1),(194,1),(222,1)}
       169:{1,2,4,5,7}:{(138,1),(141,1),(144,1),(153,1),(186,1),(192,1),(195,1),(200,1),(216,1),(223,1),(229,1),(230,1)}
       170:{1,2,4,6}:{(139,1),(142,1),(145,1),(154,1),(187,1),(193,1),(196,1),(201,1),(217,1),(222,1)}
       171:{1,2,5,7}:{(140,1),(143,1),(146,1),(194,1),(196,1),(223,1),(229,1)}
       172:{2,4,6,7}:{(141,1),(142,1),(147,1),(188,1),(197,1)}
       173:{2,5,6}:{(142,1),(143,1),(148,1)}
       174:{1,4,6,7}:{(144,1),(145,1),(147,1),(155,1),(198,1)}
       175:{1,5,6}:{(145,1),(146,1),(148,1)}
       176:{3,5,6,7}:{(147,1),(148,1),(197,1),(198,1),(199,1)}
       177:{4,5,6}:{(148,1),(149,1),(222,1)}
       178:{2,4,6}:{(150,1),(151,1),(190,1),(200,1)}
       179:{2,4,5,7}:{(150,1),(152,1),(191,1),(200,1),(201,1),(223,1)}
       180:{2,3,5,7}:{(151,1),(153,1),(156,1),(192,1),(200,1),(202,1),(223,1)}
       181:{2,3,6}:{(152,1),(154,1),(193,1),(201,1)}
       182:{1,2,6,7}:{(153,1),(154,1),(155,1),(202,1)}
       183:{1,4,5}:{(157,1),(165,1),(203,1)}
       184:{1,3,5,6}:{(157,1),(159,1),(163,1),(166,1),(203,1),(205,1),(206,1),(225,1)}
       185:{1,3,5,7}:{(157,1),(158,1),(160,1),(167,1),(204,1),(206,1)}
       186:{1,2,5,7}:{(159,1),(161,1),(164,1),(205,1),(207,1)}
       187:{1,2,6}:{(160,1),(162,1),(206,1)}
       188:{2,3,6,7}:{(161,1),(162,1),(172,1),(207,1),(210,1)}
       189:{1,3,7}:{(163,1),(164,1)}
       190:{3,4,6}:{(165,1),(166,1),(178,1),(203,1),(208,1)}
       191:{3,4,5,7}:{(165,1),(167,1),(179,1),(204,1),(208,1),(209,1),(212,1),(226,1)}
       192:{3,5,7}:{(166,1),(169,1),(208,1),(210,1)}
       193:{3,6}:{(167,1),(170,1)}
       194:{3,5,7}:{(168,1),(171,1),(211,1),(212,1)}
       195:{1,2,4,6,7}:{(169,1),(170,1),(172,1),(174,1),(182,1),(207,1),(210,1),(213,1),(214,1),(224,1),(228,1)}
       196:{1,2,5,6}:{(170,1),(171,1),(173,1),(175,1),(211,1),(215,1),(225,1)}
       197:{2,5,6,7}:{(172,1),(173,1),(176,1)}
       198:{1,5,6,7}:{(174,1),(175,1),(176,1)}
       199:{4,5,6,7}:{(176,1),(177,1),(228,1)}
       200:{2,4,7}:{(178,1),(180,1),(208,1)}
       201:{2,4,6}:{(179,1),(181,1),(209,1),(215,1)}
       202:{2,3,6,7}:{(180,1),(181,1),(182,1),(210,1),(214,1)}
       203:{1,4,6}:{(183,1),(184,1),(190,1),(216,1)}
       204:{1,4,5,7}:{(183,1),(185,1),(191,1),(216,1),(217,1),(229,1)}
       205:{1,3,5,7}:{(184,1),(186,1),(189,1),(192,1),(216,1),(218,1),(229,1)}
       206:{1,3,6}:{(185,1),(187,1),(193,1),(217,1)}
       207:{1,2,6,7}:{(186,1),(187,1),(188,1),(218,1)}
       208:{3,4,7}:{(190,1),(192,1),(200,1),(216,1)}
       209:{3,4,6}:{(191,1),(193,1),(201,1),(217,1),(220,1),(222,1)}
       210:{3,6,7}:{(192,1),(193,1),(195,1)}
       211:{3,5,6}:{(193,1),(194,1),(196,1),(222,1)}
       212:{4,5,7}:{(194,1),(222,1)}
       213:{1,2,5,6,7}:{(195,1),(196,1),(197,1),(198,1),(221,1),(223,1),(229,1)}
       214:{2,4,6,7}:{(200,1),(201,1),(202,1),(219,1),(223,1)}
       215:{2,5,6}:{(201,1),(220,1),(223,1)}
       216:{1,4,7}:{(203,1),(205,1),(208,1)}
       217:{1,4,6}:{(204,1),(206,1),(209,1),(225,1)}
       218:{1,3,6,7}:{(205,1),(206,1),(207,1),(210,1),(224,1)}
       219:{3,4,6,7}:{(208,1),(209,1),(210,1),(214,1),(224,1),(226,1),(228,1)}
       220:{3,5,6}:{(209,1),(215,1),(225,1),(226,1),(227,1)}
       221:{3,5,6,7}:{(210,1),(211,1),(213,1),(226,1),(228,1)}
       222:{4,6}:{(211,1),(212,1)}
       223:{2,5,7}:{(214,1),(215,1),(226,1)}
       224:{1,4,6,7}:{(216,1),(217,1),(218,1),(219,1),(229,1)}
       225:{1,5,6}:{(217,1),(220,1),(229,1)}
       226:{3,5,7}:{(219,1),(220,1),(223,1),(229,1),(230,1)}
       227:{4,5,6}:{(220,1),(222,1),(230,1)}
       228:{4,6,7}:{(221,1),(222,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(226,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

1289 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(75,1),(76,1),(78,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(14,1),(39,1),(40,1),(41,1),(44,1),(46,1),(78,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(24,1),(82,1),(83,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(57,1),(58,1),(62,1),(64,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(49,1),(50,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(15,1),(33,1),(41,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(12,1),(94,1),(95,1)}
         7:{1,2,4,5}:{(4,1),(14,1),(35,1),(36,1),(44,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(15,1),(67,1),(68,1)}
         9:{3,4,6}:{(4,1),(14,1),(15,1),(41,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,4,5,6}:{(7,1),(22,1),(23,1),(24,1),(49,1),(50,1),(51,1),(59,1),(86,1),(87,1)}
        12:{1,2,5,6}:{(6,1),(18,1),(24,1),(86,1),(87,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(24,1),(25,1),(53,1),(54,1),(62,1)}
        14:{3,5}:{(7,1),(9,1)}
        15:{3,4,7}:{(8,1),(9,1),(25,1)}
        16:{1,3,4,6}:{(9,1),(26,1),(28,1),(30,1),(49,1),(60,1),(85,1),(90,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(29,1),(30,1),(50,1),(61,1),(85,1),(90,1),(105,1)}
        18:{3,5,6}:{(10,1),(12,1),(33,1),(41,1)}
        19:{4,5,7}:{(10,1),(33,1)}
        20:{3,4,5}:{(14,1),(32,1),(35,1),(36,1),(74,1)}
        21:{1,2,5,6,7}:{(12,1),(31,1),(37,1),(94,1),(95,1)}
        22:{1,2,4,5,7}:{(11,1),(37,1),(38,1),(65,1),(67,1),(68,1),(77,1),(94,1),(95,1)}
        23:{3,5,6}:{(11,1),(14,1),(32,1),(38,1),(41,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(33,1),(41,1),(71,1),(72,1),(78,1)}
        25:{3,5,7}:{(13,1),(14,1),(15,1),(41,1)}
        26:{1,3,5}:{(14,1),(16,1),(35,1),(44,1),(74,1),(109,1)}
        27:{2,3,5}:{(14,1),(17,1),(36,1),(44,1),(74,1),(109,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(42,1),(45,1),(67,1),(97,1),(100,1)}
        29:{2,3,4,7}:{(15,1),(17,1),(43,1),(45,1),(68,1),(97,1),(100,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(44,1),(45,1),(46,1),(78,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(47,1),(56,1),(81,1)}
        32:{3,4,6}:{(20,1),(23,1),(48,1),(49,1),(50,1),(85,1)}
        33:{4,6}:{(18,1),(19,1)}
        34:{3,4,5,7}:{(19,1),(20,1),(25,1),(48,1),(52,1),(53,1),(54,1),(81,1),(89,1),(110,1),(111,1)}
        35:{1,4,5}:{(20,1),(26,1),(49,1),(111,1)}
        36:{2,4,5}:{(20,1),(27,1),(50,1),(111,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(24,1),(47,1),(56,1),(82,1),(83,1),(91,1)}
        38:{3,5,7}:{(22,1),(23,1),(48,1),(56,1)}
        39:{1,3,5,6}:{(23,1),(26,1),(49,1),(57,1),(59,1),(60,1),(85,1),(86,1),(104,1)}
        40:{2,3,5,6}:{(23,1),(27,1),(50,1),(58,1),(59,1),(61,1),(85,1),(87,1),(104,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(28,1),(53,1),(60,1),(62,1),(89,1)}
        43:{2,3,5,7}:{(25,1),(27,1),(29,1),(54,1),(61,1),(62,1),(89,1)}
        44:{1,2,5}:{(26,1),(27,1),(30,1)}
        45:{1,2,4,7}:{(28,1),(29,1),(30,1),(62,1),(64,1)}
        46:{1,2,3,6}:{(30,1),(63,1),(64,1),(85,1)}
        47:{4,6,7}:{(31,1),(33,1),(65,1)}
        48:{3,4,7}:{(32,1),(38,1),(67,1),(68,1),(97,1)}
        49:{1,4,6}:{(32,1),(35,1),(39,1),(67,1),(108,1)}
        50:{2,4,6}:{(32,1),(36,1),(40,1),(68,1),(108,1)}
        51:{4,5,6}:{(33,1),(65,1),(70,1),(108,1)}
        52:{3,4,6}:{(33,1),(34,1),(41,1),(70,1),(71,1),(72,1),(99,1),(108,1)}
        53:{1,4,5,7}:{(34,1),(35,1),(42,1),(67,1),(71,1),(94,1)}
        54:{2,4,5,7}:{(34,1),(36,1),(43,1),(68,1),(72,1),(95,1)}
        55:{1,2,4,5}:{(35,1),(36,1),(44,1),(69,1),(74,1),(80,1)}
        56:{3,6,7}:{(37,1),(38,1),(41,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(67,1),(75,1),(77,1),(94,1),(97,1),(107,1)}
        58:{2,3,5,7}:{(38,1),(40,1),(68,1),(76,1),(77,1),(95,1),(97,1),(107,1)}
        59:{1,2,5,6}:{(39,1),(40,1),(44,1),(69,1),(77,1),(78,1)}
        60:{1,3,6}:{(41,1),(42,1),(71,1),(78,1),(99,1)}
        61:{2,3,6}:{(41,1),(43,1),(72,1),(78,1),(99,1)}
        62:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(78,1)}
        63:{1,2,3,5}:{(44,1),(46,1),(74,1),(80,1)}
        64:{1,2,3,7}:{(45,1),(46,1),(97,1)}
        65:{4,5,7}:{(47,1),(51,1),(81,1),(110,1)}
        66:{3,4,6,7}:{(47,1),(48,1),(52,1),(56,1),(81,1),(82,1),(83,1),(103,1),(110,1)}
        67:{1,4,7}:{(48,1),(49,1),(57,1),(110,1)}
        68:{2,4,7}:{(48,1),(50,1),(58,1),(110,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(55,1),(59,1),(84,1),(85,1)}
        70:{3,5,6}:{(51,1),(52,1),(81,1),(86,1),(87,1)}
        71:{1,4,6}:{(52,1),(53,1),(60,1),(86,1)}
        72:{2,4,6}:{(52,1),(54,1),(61,1),(87,1)}
        73:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(62,1),(84,1),(88,1),(89,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        74:{3,5}:{(55,1),(85,1),(90,1)}
        75:{1,3,6,7}:{(56,1),(57,1),(60,1),(82,1),(91,1),(103,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(61,1),(83,1),(91,1),(103,1)}
        77:{1,2,5,7}:{(57,1),(58,1),(59,1),(84,1),(91,1)}
        78:{1,2,6}:{(60,1),(61,1),(62,1)}
        79:{1,2,3,5,7}:{(62,1),(63,1),(64,1),(89,1),(92,1),(93,1),(106,1)}
        80:{1,2,4}:{(63,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(70,1),(94,1),(95,1)}
        82:{1,4,6,7}:{(66,1),(67,1),(71,1),(75,1),(94,1)}
        83:{2,4,6,7}:{(66,1),(68,1),(72,1),(76,1),(95,1)}
        84:{1,2,4,7}:{(67,1),(68,1),(69,1),(77,1),(97,1)}
        85:{3,6}:{(69,1),(74,1),(97,1)}
        86:{1,5,6}:{(70,1),(71,1),(94,1)}
        87:{2,5,6}:{(70,1),(72,1),(95,1)}
        88:{1,2,4,6}:{(71,1),(72,1),(73,1),(78,1),(98,1),(99,1),(108,1)}
        89:{3,5,7}:{(73,1),(74,1),(97,1),(99,1),(100,1),(109,1)}
        90:{3,4}:{(74,1),(80,1)}
        91:{1,2,6,7}:{(75,1),(76,1),(77,1),(78,1)}
        92:{1,2,3,6}:{(78,1),(79,1),(99,1),(101,1)}
        93:{1,2,4,7}:{(79,1),(80,1),(100,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(86,1)}
        95:{2,5,7}:{(81,1),(83,1),(87,1)}
        96:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(88,1),(91,1),(102,1),(103,1),(110,1)}
        97:{3,7}:{(84,1),(85,1)}
        98:{1,2,5,6}:{(86,1),(87,1),(88,1),(102,1),(104,1),(106,1)}
        99:{3,6}:{(88,1),(89,1)}
       100:{3,4,7}:{(89,1),(90,1),(93,1),(105,1),(110,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(98,1),(107,1)}
       103:{3,6,7}:{(96,1),(97,1),(99,1),(107,1)}
       104:{3,5,6}:{(98,1),(99,1),(107,1),(108,1),(109,1)}
       105:{3,4,6}:{(99,1),(100,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(104,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1290 :   0:{1,3,5,6,7}:{(2,1),(3,1),(13,1),(14,1),(36,1),(42,1),(80,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(13,1),(17,1),(40,1),(43,1),(77,1)}
         2:{1,2,5,6,7}:{(0,1),(1,1),(5,1),(28,1),(31,1),(58,1),(61,1),(64,1)}
         3:{1,4,6,7}:{(0,1),(6,1),(7,1),(56,1),(62,1),(100,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(9,1),(60,1),(63,1),(97,1)}
         5:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(12,1),(13,1),(16,1),(18,1),(44,1),(76,1),(79,1),(83,1)}
         6:{1,4,5,7}:{(3,1),(10,1),(14,1),(119,1)}
         7:{3,4,6,7}:{(3,1),(13,1),(14,1),(16,1),(35,1),(41,1),(118,1)}
         8:{2,4,5,7}:{(4,1),(11,1),(17,1),(116,1)}
         9:{3,4,6,7}:{(4,1),(13,1),(17,1),(18,1),(38,1),(41,1),(115,1)}
        10:{1,4,5,6}:{(6,1),(21,1),(56,1)}
        11:{2,4,5,6}:{(8,1),(22,1),(60,1)}
        12:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(20,1),(23,1),(28,1),(31,1),(62,1),(63,1),(64,1)}
        13:{3,6,7}:{(5,1),(23,1),(96,1),(99,1),(103,1)}
        14:{3,5,7}:{(6,1),(7,1),(21,1),(28,1),(132,1)}
        15:{1,3,4,6,7}:{(7,1),(24,1),(27,1),(29,1),(56,1),(62,1),(92,1),(96,1),(103,1),(105,1),(129,1)}
        16:{2,4,6,7}:{(7,1),(25,1),(28,1),(57,1),(63,1),(131,1)}
        17:{3,5,7}:{(8,1),(9,1),(22,1),(31,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(24,1),(31,1),(59,1),(62,1),(129,1)}
        19:{2,3,4,6,7}:{(9,1),(25,1),(32,1),(33,1),(60,1),(63,1),(93,1),(99,1),(103,1),(107,1),(131,1)}
        20:{1,2,4,5,6}:{(10,1),(11,1),(12,1),(34,1),(37,1),(39,1),(72,1),(73,1),(74,1),(76,1),(79,1),(110,1),(116,1),(119,1),(136,1),(137,1)}
        21:{3,5,6}:{(10,1),(14,1),(35,1),(37,1)}
        22:{3,5,6}:{(11,1),(17,1),(38,1),(39,1)}
        23:{3,5,7}:{(12,1),(13,1),(34,1),(41,1)}
        24:{1,3,6,7}:{(13,1),(18,1),(42,1),(44,1),(78,1),(114,1)}
        25:{2,3,6,7}:{(13,1),(16,1),(43,1),(44,1),(75,1),(117,1)}
        26:{3,4,5,7}:{(14,1),(35,1),(41,1),(45,1),(46,1),(71,1),(85,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(36,1),(45,1),(47,1),(85,1),(108,1),(136,1)}
        28:{2,5,7}:{(14,1),(16,1),(37,1),(137,1)}
        29:{1,2,4,6,7}:{(15,1),(16,1),(44,1),(47,1),(48,1),(76,1),(83,1),(86,1),(111,1)}
        30:{3,4,5,7}:{(17,1),(38,1),(41,1),(49,1),(50,1),(71,1),(88,1)}
        31:{1,5,7}:{(17,1),(18,1),(39,1),(136,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(40,1),(50,1),(51,1),(88,1),(109,1),(137,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(44,1),(51,1),(52,1),(79,1),(83,1),(89,1),(112,1)}
        34:{3,5,6}:{(20,1),(23,1),(53,1),(96,1),(99,1),(126,1),(130,1),(132,1)}
        35:{3,4,6}:{(21,1),(26,1),(56,1),(57,1),(96,1)}
        36:{1,3,5,6}:{(21,1),(27,1),(56,1),(58,1),(96,1)}
        37:{2,5,6}:{(21,1),(28,1),(57,1)}
        38:{3,4,6}:{(22,1),(30,1),(59,1),(60,1),(99,1)}
        39:{1,5,6}:{(22,1),(31,1),(59,1)}
        40:{2,3,5,6}:{(22,1),(32,1),(60,1),(61,1),(99,1)}
        41:{3,4,7}:{(23,1),(53,1),(62,1),(63,1),(103,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(31,1),(54,1),(62,1),(64,1),(103,1)}
        43:{2,3,5,7}:{(23,1),(25,1),(28,1),(55,1),(63,1),(64,1),(103,1)}
        44:{1,2,6,7}:{(24,1),(25,1),(64,1),(95,1),(98,1)}
        45:{1,4,5,7}:{(26,1),(27,1),(56,1),(62,1),(90,1)}
        46:{2,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(65,1),(91,1)}
        47:{1,2,5,7}:{(27,1),(28,1),(29,1),(58,1),(67,1),(124,1)}
        48:{2,3,6,7}:{(29,1),(67,1),(96,1),(103,1),(127,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(59,1),(62,1),(68,1),(90,1)}
        50:{2,4,5,7}:{(30,1),(32,1),(60,1),(63,1),(91,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(61,1),(70,1),(125,1)}
        52:{1,3,6,7}:{(33,1),(70,1),(99,1),(103,1),(128,1)}
        53:{3,4,6}:{(34,1),(41,1),(71,1),(72,1),(73,1),(113,1),(135,1)}
        54:{1,3,5,6}:{(34,1),(39,1),(42,1),(72,1),(74,1),(78,1),(108,1),(113,1),(114,1),(134,1),(136,1)}
        55:{2,3,5,6}:{(34,1),(37,1),(43,1),(73,1),(74,1),(75,1),(109,1),(113,1),(117,1),(133,1),(137,1)}
        56:{1,4,6}:{(35,1),(36,1),(45,1)}
        57:{2,4,6}:{(35,1),(37,1),(46,1),(75,1)}
        58:{1,2,5,6}:{(36,1),(37,1),(47,1),(76,1),(77,1),(136,1)}
        59:{1,4,6}:{(38,1),(39,1),(49,1),(78,1)}
        60:{2,4,6}:{(38,1),(40,1),(50,1)}
        61:{1,2,5,6}:{(39,1),(40,1),(51,1),(79,1),(80,1),(137,1)}
        62:{1,4,7}:{(41,1),(42,1),(72,1)}
        63:{2,4,7}:{(41,1),(43,1),(73,1)}
        64:{1,2,5,7}:{(42,1),(43,1),(44,1),(74,1),(83,1)}
        65:{2,3,5,7}:{(46,1),(75,1),(82,1),(84,1),(85,1),(109,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(76,1),(83,1),(84,1),(85,1),(86,1),(110,1),(116,1),(122,1),(136,1)}
        67:{2,3,5,7}:{(47,1),(48,1),(77,1),(85,1),(86,1),(133,1)}
        68:{1,3,5,7}:{(49,1),(78,1),(81,1),(87,1),(88,1),(108,1)}
        69:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(79,1),(83,1),(87,1),(88,1),(89,1),(110,1),(119,1),(123,1),(137,1)}
        70:{1,3,5,7}:{(51,1),(52,1),(80,1),(88,1),(89,1),(134,1)}
        71:{3,4,5}:{(53,1),(90,1),(91,1),(126,1),(130,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(62,1),(90,1),(139,1)}
        73:{2,4,6}:{(53,1),(55,1),(63,1),(91,1),(138,1)}
        74:{1,2,5,6}:{(54,1),(55,1),(64,1),(94,1),(95,1),(98,1),(124,1),(125,1)}
        75:{2,3,6}:{(57,1),(65,1),(95,1),(96,1)}
        76:{1,2,4,6}:{(56,1),(57,1),(58,1),(66,1),(95,1),(96,1),(97,1),(129,1)}
        77:{2,3,5,6}:{(58,1),(67,1),(96,1),(97,1),(130,1)}
        78:{1,3,6}:{(59,1),(68,1),(98,1),(99,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(69,1),(98,1),(99,1),(100,1),(131,1)}
        80:{1,3,5,6}:{(61,1),(70,1),(99,1),(100,1),(132,1)}
        81:{1,3,4,7}:{(62,1),(68,1),(92,1),(101,1),(103,1),(107,1)}
        82:{2,3,4,7}:{(63,1),(65,1),(93,1),(102,1),(103,1),(105,1)}
        83:{1,2,4,7}:{(62,1),(63,1),(64,1),(94,1),(103,1)}
        84:{1,2,5,7}:{(65,1),(95,1),(102,1),(104,1),(125,1)}
        85:{3,5,7}:{(66,1),(96,1),(103,1),(105,1),(126,1),(130,1)}
        86:{2,4,7}:{(67,1),(97,1),(105,1),(138,1)}
        87:{1,2,5,7}:{(68,1),(98,1),(101,1),(106,1),(124,1)}
        88:{3,5,7}:{(69,1),(99,1),(103,1),(107,1),(126,1),(132,1)}
        89:{1,4,7}:{(70,1),(100,1),(107,1),(139,1)}
        90:{1,4,5}:{(71,1),(72,1),(108,1),(136,1)}
        91:{2,4,5}:{(71,1),(73,1),(109,1),(137,1)}
        92:{1,3,4,6}:{(72,1),(78,1),(81,1),(108,1),(111,1),(113,1),(118,1),(135,1)}
        93:{2,3,4,6}:{(73,1),(75,1),(82,1),(109,1),(112,1),(113,1),(115,1),(135,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(83,1),(110,1),(113,1)}
        95:{1,2,6}:{(75,1),(84,1),(114,1)}
        96:{3,6}:{(76,1),(85,1)}
        97:{2,4,6}:{(77,1),(86,1),(115,1),(116,1)}
        98:{1,2,6}:{(78,1),(87,1),(117,1)}
        99:{3,6}:{(79,1),(88,1)}
       100:{1,4,6}:{(80,1),(89,1),(118,1),(119,1)}
       101:{1,2,4,7}:{(81,1),(87,1),(111,1),(120,1),(123,1)}
       102:{1,2,4,7}:{(82,1),(84,1),(112,1),(121,1),(122,1)}
       103:{3,7}:{(83,1),(113,1)}
       104:{1,3,5,7}:{(84,1),(85,1),(114,1),(121,1),(122,1),(134,1),(136,1)}
       105:{3,4,7}:{(85,1),(86,1),(115,1),(122,1),(135,1)}
       106:{2,3,5,7}:{(87,1),(88,1),(117,1),(120,1),(123,1),(133,1),(137,1)}
       107:{3,4,7}:{(88,1),(89,1),(118,1),(123,1),(135,1)}
       108:{1,3,5}:{(90,1),(92,1),(124,1),(126,1),(132,1)}
       109:{2,3,5}:{(91,1),(93,1),(125,1),(126,1),(130,1)}
       110:{1,2,4,5}:{(90,1),(91,1),(94,1),(124,1),(125,1),(126,1),(138,1),(139,1)}
       111:{1,2,4,6}:{(92,1),(98,1),(101,1),(124,1),(127,1),(131,1),(138,1)}
       112:{1,2,4,6}:{(93,1),(95,1),(102,1),(125,1),(128,1),(129,1),(139,1)}
       113:{3,6}:{(94,1),(103,1),(126,1)}
       114:{1,3,6}:{(95,1),(96,1),(104,1),(129,1)}
       115:{3,4,6}:{(96,1),(97,1),(105,1),(129,1),(130,1)}
       116:{2,4,5}:{(97,1),(130,1)}
       117:{2,3,6}:{(98,1),(99,1),(106,1),(131,1)}
       118:{3,4,6}:{(99,1),(100,1),(107,1),(131,1),(132,1)}
       119:{1,4,5}:{(100,1),(132,1)}
       120:{2,3,7}:{(101,1),(103,1),(127,1)}
       121:{1,3,7}:{(102,1),(103,1),(128,1)}
       122:{1,4,7}:{(104,1),(105,1),(129,1),(139,1)}
       123:{2,4,7}:{(106,1),(107,1),(131,1),(138,1)}
       124:{1,2,5}:{(108,1),(111,1),(133,1),(137,1)}
       125:{1,2,5}:{(109,1),(112,1),(134,1),(136,1)}
       126:{3,5}:{(110,1),(113,1),(135,1)}
       127:{2,3,6}:{(111,1),(113,1),(120,1),(133,1)}
       128:{1,3,6}:{(112,1),(113,1),(121,1),(134,1)}
       129:{1,4,6}:{(114,1),(115,1),(122,1),(136,1)}
       130:{3,5}:{(115,1),(116,1),(136,1)}
       131:{2,4,6}:{(117,1),(118,1),(123,1),(137,1)}
       132:{3,5}:{(118,1),(119,1),(137,1)}
       133:{2,3,5}:{(124,1),(126,1),(127,1),(138,1)}
       134:{1,3,5}:{(125,1),(126,1),(128,1),(139,1)}
       135:{3,4}:{(126,1),(138,1),(139,1)}
       136:{1,5}:{(129,1),(130,1)}
       137:{2,5}:{(131,1),(132,1)}
       138:{2,4}:{(133,1),(135,1)}
       139:{1,4}:{(134,1),(135,1)}

1291 :   0:{1,2,3,5,6}:{(1,1),(2,1),(7,1),(10,1),(35,1),(37,1),(39,1),(42,1),(45,1),(78,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(50,1),(52,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(18,1),(24,1),(28,1),(57,1),(58,1),(60,1)}
         3:{3,4,6}:{(1,1),(10,1),(11,1),(42,1)}
         4:{1,2,4,5}:{(1,1),(10,1),(31,1),(32,1),(35,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(71,1),(73,1)}
         6:{1,2,3,6,7}:{(2,1),(14,1),(42,1),(78,1),(79,1),(80,1)}
         7:{1,2,3,6}:{(15,1),(17,1),(18,1),(83,1)}
         8:{2,3,4,6}:{(3,1),(17,1),(19,1),(20,1),(46,1),(50,1),(59,1),(83,1),(85,1)}
         9:{1,3,4,6}:{(3,1),(17,1),(21,1),(22,1),(46,1),(52,1),(61,1),(83,1),(85,1)}
        10:{3,5}:{(3,1),(4,1)}
        11:{3,4,7}:{(3,1),(5,1),(24,1)}
        12:{1,2,4,5,6}:{(4,1),(23,1),(26,1),(27,1),(50,1),(52,1),(56,1),(90,1),(92,1),(94,1)}
        13:{1,2,4,5,7}:{(4,1),(5,1),(24,1),(27,1),(28,1),(51,1),(53,1),(57,1),(64,1)}
        14:{1,2,4,6,7}:{(5,1),(6,1),(25,1),(27,1),(28,1),(89,1),(91,1)}
        15:{1,2,3,5}:{(7,1),(29,1),(35,1),(66,1)}
        16:{3,4,5}:{(10,1),(31,1),(32,1),(33,1),(66,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(9,1),(29,1),(35,1),(36,1),(78,1)}
        18:{1,2,3,7}:{(7,1),(36,1),(97,1)}
        19:{2,3,5}:{(8,1),(10,1),(31,1),(35,1),(66,1),(99,1)}
        20:{2,3,4,7}:{(8,1),(11,1),(36,1),(38,1),(67,1),(71,1),(97,1)}
        21:{1,3,5}:{(9,1),(10,1),(32,1),(35,1),(66,1),(99,1)}
        22:{1,3,4,7}:{(9,1),(11,1),(36,1),(40,1),(67,1),(73,1),(97,1)}
        23:{3,5,6}:{(10,1),(12,1),(33,1),(41,1),(42,1)}
        24:{3,5,7}:{(10,1),(11,1),(13,1),(42,1)}
        25:{3,4,6,7}:{(11,1),(14,1),(42,1),(43,1),(82,1)}
        26:{1,2,4,5,7}:{(12,1),(41,1),(44,1),(71,1),(73,1),(77,1),(102,1),(103,1),(104,1)}
        27:{1,2,4,6}:{(13,1),(42,1),(45,1),(72,1),(74,1),(78,1),(82,1)}
        28:{1,2,5,7}:{(14,1),(43,1),(45,1),(102,1),(103,1)}
        29:{1,2,4}:{(15,1),(46,1)}
        30:{1,2,3,5,7}:{(15,1),(18,1),(48,1),(49,1),(57,1),(84,1),(88,1)}
        31:{2,4,5}:{(16,1),(19,1),(50,1),(107,1)}
        32:{1,4,5}:{(16,1),(21,1),(52,1),(107,1)}
        33:{3,4,6}:{(16,1),(23,1),(50,1),(52,1),(54,1),(83,1)}
        34:{3,4,5,7}:{(16,1),(24,1),(51,1),(53,1),(54,1),(55,1),(64,1),(84,1),(93,1),(107,1),(111,1)}
        35:{1,2,5}:{(17,1),(19,1),(21,1)}
        36:{1,2,4,7}:{(17,1),(18,1),(20,1),(22,1),(57,1)}
        37:{2,3,5,6}:{(19,1),(23,1),(50,1),(56,1),(58,1),(59,1),(83,1),(90,1),(106,1)}
        38:{2,3,5,7}:{(19,1),(20,1),(24,1),(51,1),(57,1),(59,1),(84,1)}
        39:{1,3,5,6}:{(21,1),(23,1),(52,1),(56,1),(60,1),(61,1),(83,1),(92,1),(106,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(24,1),(53,1),(57,1),(61,1),(84,1)}
        41:{3,5,7}:{(23,1),(26,1),(54,1),(62,1)}
        42:{3,6}:{(24,1),(27,1)}
        43:{3,5,7}:{(25,1),(28,1),(63,1),(64,1)}
        44:{1,2,4,6,7}:{(26,1),(27,1),(62,1),(65,1),(89,1),(91,1),(95,1),(96,1)}
        45:{1,2,5,6}:{(27,1),(28,1),(63,1),(90,1),(92,1)}
        46:{3,4}:{(29,1),(66,1)}
        47:{1,2,4,5}:{(29,1),(31,1),(32,1),(35,1),(66,1),(68,1)}
        48:{1,2,4,7}:{(29,1),(30,1),(67,1),(70,1)}
        49:{1,2,3,6}:{(30,1),(70,1),(78,1),(98,1)}
        50:{2,4,6}:{(31,1),(33,1),(37,1),(71,1),(110,1)}
        51:{2,4,5,7}:{(31,1),(34,1),(38,1),(71,1),(72,1),(102,1)}
        52:{1,4,6}:{(32,1),(33,1),(39,1),(73,1),(110,1)}
        53:{1,4,5,7}:{(32,1),(34,1),(40,1),(73,1),(74,1),(103,1)}
        54:{3,4,7}:{(33,1),(41,1),(71,1),(73,1),(97,1)}
        55:{3,4,6}:{(34,1),(42,1),(72,1),(74,1),(76,1),(82,1),(98,1),(110,1)}
        56:{1,2,5,6}:{(35,1),(37,1),(39,1),(68,1),(77,1),(78,1)}
        57:{1,2,5,7}:{(35,1),(36,1),(38,1),(40,1),(78,1)}
        58:{2,3,5,7}:{(37,1),(41,1),(71,1),(77,1),(79,1),(97,1),(102,1),(109,1)}
        59:{2,3,6}:{(38,1),(42,1),(72,1),(78,1),(98,1)}
        60:{1,3,5,7}:{(39,1),(41,1),(73,1),(77,1),(80,1),(97,1),(103,1),(109,1)}
        61:{1,3,6}:{(40,1),(42,1),(74,1),(78,1),(98,1)}
        62:{3,6,7}:{(41,1),(42,1),(44,1)}
        63:{3,5,6}:{(42,1),(43,1),(45,1),(82,1)}
        64:{4,5,7}:{(43,1),(82,1)}
        65:{1,2,5,6,7}:{(44,1),(45,1),(81,1),(102,1),(103,1)}
        66:{3,5}:{(46,1),(47,1),(83,1)}
        67:{3,4,7}:{(46,1),(48,1),(84,1),(85,1),(111,1)}
        68:{1,2,4,6}:{(47,1),(50,1),(52,1),(56,1),(83,1),(86,1)}
        69:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(53,1),(57,1),(84,1),(86,1),(87,1),(88,1),(107,1),(108,1),(111,1)}
        70:{1,2,4,6}:{(48,1),(49,1),(85,1),(88,1)}
        71:{2,4,7}:{(50,1),(54,1),(58,1),(111,1)}
        72:{2,4,6}:{(51,1),(55,1),(59,1),(90,1)}
        73:{1,4,7}:{(52,1),(54,1),(60,1),(111,1)}
        74:{1,4,6}:{(53,1),(55,1),(61,1),(92,1)}
        75:{3,4,6,7}:{(54,1),(55,1),(62,1),(89,1),(91,1),(93,1),(96,1),(105,1),(111,1)}
        76:{3,5,6}:{(55,1),(90,1),(92,1),(93,1),(94,1)}
        77:{1,2,5,7}:{(56,1),(58,1),(60,1),(86,1),(95,1)}
        78:{1,2,6}:{(57,1),(59,1),(61,1)}
        79:{2,3,6,7}:{(58,1),(59,1),(62,1),(89,1),(95,1),(105,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(62,1),(91,1),(95,1),(105,1)}
        81:{3,5,6,7}:{(62,1),(63,1),(65,1),(93,1),(96,1)}
        82:{4,6}:{(63,1),(64,1)}
        83:{3,6}:{(66,1),(68,1),(97,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(97,1),(98,1),(99,1)}
        85:{3,4,6}:{(67,1),(70,1),(98,1),(99,1),(110,1)}
        86:{1,2,4,7}:{(68,1),(71,1),(73,1),(77,1),(97,1)}
        87:{1,2,4,6}:{(69,1),(72,1),(74,1),(78,1),(98,1),(101,1),(110,1)}
        88:{1,2,5}:{(70,1),(99,1)}
        89:{2,4,6,7}:{(71,1),(72,1),(75,1),(79,1),(102,1)}
        90:{2,5,6}:{(72,1),(76,1),(102,1)}
        91:{1,4,6,7}:{(73,1),(74,1),(75,1),(80,1),(103,1)}
        92:{1,5,6}:{(74,1),(76,1),(103,1)}
        93:{3,5,7}:{(75,1),(76,1),(102,1),(103,1),(104,1)}
        94:{4,5,6}:{(76,1),(82,1),(104,1),(110,1)}
        95:{1,2,6,7}:{(77,1),(78,1),(79,1),(80,1)}
        96:{4,6,7}:{(81,1),(82,1),(104,1)}
        97:{3,7}:{(83,1),(86,1)}
        98:{3,6}:{(84,1),(87,1)}
        99:{3,5}:{(85,1),(88,1),(107,1)}
       100:{1,2,4,6,7}:{(86,1),(87,1),(89,1),(91,1),(95,1),(105,1),(108,1),(111,1)}
       101:{1,2,5,6}:{(87,1),(88,1),(90,1),(92,1),(106,1),(108,1)}
       102:{2,5,7}:{(89,1),(90,1),(93,1)}
       103:{1,5,7}:{(91,1),(92,1),(93,1)}
       104:{4,5,7}:{(93,1),(94,1),(96,1),(111,1)}
       105:{3,6,7}:{(97,1),(98,1),(100,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(101,1),(109,1),(110,1)}
       107:{4,5}:{(99,1),(110,1)}
       108:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(109,1)}
       109:{3,5,7}:{(105,1),(106,1),(108,1),(111,1)}
       110:{4,6}:{(106,1),(107,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1292 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(20,1),(51,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(32,1),(66,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(46,1),(81,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(18,1),(23,1),(45,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(19,1),(23,1),(44,1),(83,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(61,1),(101,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(60,1),(100,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(30,1),(31,1),(103,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(41,1),(81,1),(150,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(21,1),(23,1),(37,1),(46,1)}
        13:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(23,1),(38,1),(46,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(23,1),(122,1)}
        15:{1,2,3,5,6,7}:{(8,1),(23,1),(24,1),(44,1),(45,1),(47,1),(50,1),(70,1),(82,1),(83,1),(84,1),(125,1),(157,1),(169,1),(171,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(25,1),(101,1),(158,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(26,1),(100,1),(161,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(25,1),(30,1),(32,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(26,1),(31,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(32,1),(60,1),(61,1)}
        21:{1,2,4,6,7}:{(12,1),(30,1),(33,1),(52,1),(60,1)}
        22:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(53,1),(61,1)}
        23:{3,6,7}:{(14,1),(32,1),(142,1)}
        24:{1,2,4,6,7}:{(15,1),(35,1),(36,1),(60,1),(61,1),(90,1),(100,1),(101,1),(173,1),(174,1)}
        25:{1,3,5,6}:{(16,1),(18,1),(37,1),(39,1),(41,1),(144,1)}
        26:{2,3,5,6}:{(17,1),(19,1),(38,1),(40,1),(41,1),(147,1)}
        27:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(39,1),(40,1),(41,1),(71,1),(72,1),(111,1),(122,1)}
        28:{1,3,4,5,7}:{(18,1),(37,1),(42,1),(46,1),(73,1),(80,1),(115,1),(121,1),(144,1)}
        29:{2,3,4,5,7}:{(19,1),(38,1),(43,1),(46,1),(73,1),(79,1),(118,1),(121,1),(147,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(39,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(40,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(41,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(68,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(69,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(50,1),(81,1),(110,1),(157,1),(172,1)}
        36:{1,2,4,5,7}:{(24,1),(50,1),(51,1),(79,1),(80,1),(82,1),(111,1)}
        37:{1,3,4,6}:{(25,1),(28,1),(52,1),(56,1),(101,1),(142,1)}
        38:{2,3,4,6}:{(26,1),(29,1),(53,1),(56,1),(100,1),(142,1)}
        39:{1,2,5,6}:{(25,1),(30,1),(52,1),(54,1),(127,1)}
        40:{1,2,5,6}:{(26,1),(31,1),(53,1),(55,1),(130,1)}
        41:{3,5,6}:{(27,1),(32,1),(56,1),(132,1),(142,1)}
        42:{1,2,4,5,7}:{(28,1),(30,1),(52,1),(57,1),(60,1),(91,1),(94,1),(127,1)}
        43:{1,2,4,5,7}:{(29,1),(31,1),(53,1),(58,1),(61,1),(92,1),(96,1),(130,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(54,1),(60,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(55,1),(61,1)}
        46:{3,4,7}:{(32,1),(56,1),(60,1),(61,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(59,1),(63,1),(86,1),(88,1),(142,1),(166,1),(167,1)}
        48:{2,3,4,6,7}:{(33,1),(35,1),(60,1),(63,1),(64,1),(87,1),(98,1),(100,1),(129,1),(142,1),(167,1),(174,1)}
        49:{1,3,4,6,7}:{(34,1),(35,1),(61,1),(63,1),(65,1),(89,1),(98,1),(101,1),(126,1),(142,1),(166,1),(173,1)}
        50:{3,5,7}:{(35,1),(36,1),(66,1),(132,1)}
        51:{1,2,4,5,6}:{(36,1),(66,1),(100,1),(101,1),(103,1)}
        52:{1,2,4,6}:{(37,1),(39,1),(42,1),(68,1),(71,1)}
        53:{1,2,4,6}:{(38,1),(40,1),(43,1),(69,1),(72,1)}
        54:{2,3,5,6}:{(39,1),(41,1),(44,1),(68,1),(71,1),(107,1)}
        55:{1,3,5,6}:{(40,1),(41,1),(45,1),(69,1),(72,1),(109,1)}
        56:{3,4,6}:{(41,1),(46,1),(71,1),(72,1),(73,1)}
        57:{2,3,5,7}:{(42,1),(68,1),(75,1),(107,1),(121,1)}
        58:{1,3,5,7}:{(43,1),(69,1),(77,1),(109,1),(121,1)}
        59:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(70,1),(78,1),(82,1),(121,1),(169,1),(171,1)}
        60:{2,4,7}:{(44,1),(46,1),(71,1)}
        61:{1,4,7}:{(45,1),(46,1),(72,1)}
        62:{3,4,5,7}:{(46,1),(50,1),(73,1),(79,1),(80,1),(81,1),(121,1),(150,1),(172,1)}
        63:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(78,1),(82,1),(106,1),(108,1),(122,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(79,1),(82,1),(83,1),(107,1),(121,1),(147,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(80,1),(82,1),(84,1),(109,1),(121,1),(144,1)}
        66:{3,5,6}:{(50,1),(51,1),(81,1)}
        67:{1,2,4,5,6,7}:{(51,1),(85,1),(123,1),(124,1),(125,1),(152,1)}
        68:{2,3,6}:{(52,1),(57,1),(142,1)}
        69:{1,3,6}:{(53,1),(58,1),(142,1)}
        70:{1,2,3,5,6}:{(54,1),(55,1),(59,1),(86,1),(88,1),(90,1),(103,1),(127,1),(130,1),(132,1),(142,1),(159,1),(162,1)}
        71:{2,4,6}:{(54,1),(56,1),(60,1),(91,1)}
        72:{1,4,6}:{(55,1),(56,1),(61,1),(92,1)}
        73:{3,4,5}:{(56,1),(91,1),(92,1),(132,1)}
        74:{1,2,3,5,7}:{(57,1),(86,1),(94,1),(127,1),(136,1)}
        75:{2,3,4,7}:{(57,1),(60,1),(87,1),(94,1),(98,1)}
        76:{1,2,3,5,7}:{(58,1),(88,1),(96,1),(130,1),(139,1)}
        77:{1,3,4,7}:{(58,1),(61,1),(89,1),(96,1),(98,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(61,1),(90,1),(98,1),(173,1),(174,1)}
        79:{2,4,5,7}:{(60,1),(62,1),(64,1),(91,1),(100,1),(161,1),(174,1)}
        80:{1,4,5,7}:{(61,1),(62,1),(65,1),(92,1),(101,1),(158,1),(173,1)}
        81:{3,4,6}:{(62,1),(66,1),(100,1),(101,1),(142,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(65,1),(103,1),(127,1),(130,1)}
        83:{2,3,5,6}:{(64,1),(66,1),(100,1),(103,1),(142,1)}
        84:{1,3,5,6}:{(65,1),(66,1),(101,1),(103,1),(142,1)}
        85:{3,5,6,7}:{(66,1),(67,1),(102,1),(165,1)}
        86:{1,2,3,6}:{(68,1),(74,1),(106,1),(153,1)}
        87:{2,3,4,6}:{(68,1),(71,1),(75,1),(106,1),(107,1),(110,1)}
        88:{1,2,3,6}:{(69,1),(76,1),(108,1),(155,1)}
        89:{1,3,4,6}:{(69,1),(72,1),(77,1),(108,1),(109,1),(110,1)}
        90:{1,2,4,6}:{(70,1),(71,1),(72,1),(78,1),(110,1),(111,1),(168,1),(170,1)}
        91:{2,4,5}:{(71,1),(73,1),(107,1)}
        92:{1,4,5}:{(72,1),(73,1),(109,1)}
        93:{3,4,5,6}:{(73,1),(81,1),(112,1),(113,1),(114,1),(151,1)}
        94:{1,2,4,7}:{(74,1),(75,1),(106,1),(115,1)}
        95:{2,3,4,5,7}:{(75,1),(79,1),(107,1),(116,1),(117,1),(121,1),(146,1),(150,1),(172,1)}
        96:{1,2,4,7}:{(76,1),(77,1),(108,1),(118,1)}
        97:{1,3,4,5,7}:{(77,1),(80,1),(109,1),(119,1),(120,1),(121,1),(149,1),(150,1),(172,1)}
        98:{3,4,7}:{(78,1),(110,1),(121,1)}
        99:{1,2,4,5,7}:{(78,1),(79,1),(80,1),(82,1),(111,1),(121,1),(122,1)}
       100:{2,4,6}:{(79,1),(81,1),(83,1)}
       101:{1,4,6}:{(80,1),(81,1),(84,1)}
       102:{3,4,6,7}:{(81,1),(85,1),(114,1),(123,1),(124,1),(157,1),(172,1)}
       103:{1,2,5,6}:{(82,1),(83,1),(84,1),(122,1)}
       104:{2,3,5,6,7}:{(83,1),(85,1),(123,1),(125,1),(146,1),(157,1),(171,1)}
       105:{1,3,5,6,7}:{(84,1),(85,1),(124,1),(125,1),(149,1),(157,1),(169,1)}
       106:{1,2,4,6}:{(86,1),(87,1),(94,1),(126,1),(127,1)}
       107:{2,3,5}:{(87,1),(91,1),(127,1),(132,1)}
       108:{1,2,4,6}:{(88,1),(89,1),(96,1),(129,1),(130,1)}
       109:{1,3,5}:{(89,1),(92,1),(130,1),(132,1)}
       110:{3,4,6}:{(90,1),(98,1),(132,1),(142,1)}
       111:{1,2,4,5}:{(90,1),(91,1),(92,1),(127,1),(130,1),(132,1),(158,1),(161,1)}
       112:{2,4,5,6}:{(91,1),(93,1),(100,1),(128,1),(134,1)}
       113:{1,4,5,6}:{(92,1),(93,1),(101,1),(131,1),(135,1)}
       114:{3,4,5,7}:{(93,1),(102,1),(134,1),(135,1),(165,1)}
       115:{1,3,4,7}:{(94,1),(98,1),(126,1),(136,1),(173,1)}
       116:{1,2,4,5,7}:{(94,1),(95,1),(127,1),(136,1),(137,1),(158,1),(160,1),(173,1)}
       117:{2,3,4,6}:{(95,1),(100,1),(128,1),(137,1),(142,1),(164,1)}
       118:{2,3,4,7}:{(96,1),(98,1),(129,1),(139,1),(174,1)}
       119:{1,2,4,5,7}:{(96,1),(97,1),(130,1),(139,1),(140,1),(161,1),(163,1),(174,1)}
       120:{1,3,4,6}:{(97,1),(101,1),(131,1),(140,1),(142,1),(164,1)}
       121:{3,5,7}:{(98,1),(99,1),(132,1),(142,1)}
       122:{1,2,4,6}:{(99,1),(100,1),(101,1),(103,1),(142,1)}
       123:{2,4,6,7}:{(100,1),(102,1),(104,1),(134,1),(174,1)}
       124:{1,4,6,7}:{(101,1),(102,1),(105,1),(135,1),(173,1)}
       125:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(143,1),(160,1),(163,1)}
       126:{1,3,4,6}:{(106,1),(110,1),(115,1),(144,1),(153,1),(168,1)}
       127:{1,2,5}:{(106,1),(107,1),(144,1)}
       128:{2,3,5,6}:{(107,1),(112,1),(117,1),(145,1),(146,1),(151,1)}
       129:{2,3,4,6}:{(108,1),(110,1),(118,1),(147,1),(155,1),(170,1)}
       130:{1,2,5}:{(108,1),(109,1),(147,1)}
       131:{1,3,5,6}:{(109,1),(113,1),(120,1),(148,1),(149,1),(151,1)}
       132:{3,5}:{(110,1),(111,1)}
       133:{1,2,4,5,6}:{(111,1),(112,1),(113,1),(122,1),(145,1),(148,1),(151,1),(152,1),(168,1),(170,1)}
       134:{2,4,5,7}:{(112,1),(114,1),(123,1),(146,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(124,1),(149,1)}
       136:{1,3,5,7}:{(115,1),(116,1),(121,1),(144,1),(153,1)}
       137:{1,2,4,6}:{(116,1),(117,1),(145,1),(153,1),(168,1)}
       138:{2,3,4,6,7}:{(117,1),(123,1),(146,1),(154,1),(157,1),(172,1)}
       139:{2,3,5,7}:{(118,1),(119,1),(121,1),(147,1),(155,1)}
       140:{1,2,4,6}:{(119,1),(120,1),(148,1),(155,1),(170,1)}
       141:{1,3,4,6,7}:{(120,1),(124,1),(149,1),(156,1),(157,1),(172,1)}
       142:{3,6}:{(121,1),(122,1)}
       143:{1,2,4,6,7}:{(122,1),(123,1),(124,1),(125,1),(152,1),(157,1)}
       144:{1,3,5}:{(126,1),(127,1),(132,1),(158,1)}
       145:{1,2,5,6}:{(127,1),(128,1),(137,1),(159,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(134,1),(138,1),(160,1),(165,1)}
       147:{2,3,5}:{(129,1),(130,1),(132,1),(161,1)}
       148:{1,2,5,6}:{(130,1),(131,1),(140,1),(162,1),(163,1)}
       149:{1,3,5,7}:{(131,1),(135,1),(141,1),(163,1),(165,1)}
       150:{3,4,5}:{(132,1),(158,1),(161,1),(164,1)}
       151:{3,5,6}:{(132,1),(133,1),(142,1),(164,1),(165,1)}
       152:{1,2,4,5,7}:{(133,1),(134,1),(135,1),(143,1),(160,1),(163,1),(165,1),(173,1),(174,1)}
       153:{1,3,6}:{(136,1),(137,1),(142,1)}
       154:{1,2,4,6,7}:{(137,1),(138,1),(160,1),(166,1),(173,1)}
       155:{2,3,6}:{(139,1),(140,1),(142,1)}
       156:{1,2,4,6,7}:{(140,1),(141,1),(163,1),(167,1),(174,1)}
       157:{3,6,7}:{(142,1),(143,1),(165,1)}
       158:{1,4,5}:{(144,1),(150,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(151,1),(153,1),(168,1),(169,1)}
       160:{1,2,5,7}:{(145,1),(146,1),(154,1),(169,1)}
       161:{2,4,5}:{(147,1),(150,1),(170,1)}
       162:{2,3,5,6}:{(147,1),(148,1),(151,1),(155,1),(170,1),(171,1)}
       163:{1,2,5,7}:{(148,1),(149,1),(156,1),(171,1)}
       164:{3,4,6}:{(150,1),(151,1),(168,1),(170,1),(172,1)}
       165:{3,5,7}:{(151,1),(152,1),(157,1),(172,1)}
       166:{1,3,6,7}:{(153,1),(154,1),(157,1),(169,1)}
       167:{2,3,6,7}:{(155,1),(156,1),(157,1),(171,1)}
       168:{1,4,6}:{(158,1),(159,1),(164,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(165,1),(166,1),(173,1)}
       170:{2,4,6}:{(161,1),(162,1),(164,1),(174,1)}
       171:{2,3,5,7}:{(162,1),(163,1),(165,1),(167,1),(174,1)}
       172:{3,4,7}:{(164,1),(165,1),(173,1),(174,1)}
       173:{1,4,7}:{(168,1),(169,1),(172,1)}
       174:{2,4,7}:{(170,1),(171,1),(172,1)}

1293 :   0:{1,4,5,6,7}:{(2,1),(16,1),(173,1)}
         1:{1,3,4,5,7}:{(3,1),(4,1),(14,1),(47,1),(84,1),(91,1),(99,1),(127,1),(132,1),(135,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(8,1),(190,1)}
         3:{1,3,4,6}:{(1,1),(10,1),(11,1),(75,1),(153,1),(158,1),(160,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(27,1),(33,1),(62,1),(72,1),(76,1)}
         5:{1,3,4,6,7}:{(3,1),(14,1),(15,1),(16,1),(45,1),(84,1),(87,1)}
         6:{3,4,6,7}:{(2,1),(13,1),(16,1),(17,1),(45,1),(175,1)}
         7:{1,3,5,6,7}:{(2,1),(14,1),(16,1),(18,1),(45,1),(128,1)}
         8:{2,5,6,7}:{(2,1),(17,1),(202,1)}
         9:{3,4,5,6}:{(13,1),(20,1),(21,1),(53,1),(142,1),(175,1)}
        10:{1,3,5,6}:{(3,1),(14,1),(20,1),(22,1),(53,1),(91,1),(138,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(22,1),(23,1),(54,1)}
        12:{2,3,5,7}:{(4,1),(23,1),(24,1),(55,1),(132,1)}
        13:{3,4,5,7}:{(6,1),(9,1),(25,1),(26,1),(61,1)}
        14:{1,3,5,7}:{(5,1),(10,1),(25,1),(27,1),(61,1),(111,1)}
        15:{1,2,4,6,7}:{(5,1),(11,1),(27,1),(28,1),(62,1)}
        16:{1,4,6,7}:{(6,1),(7,1),(25,1),(153,1)}
        17:{2,4,6,7}:{(6,1),(8,1),(26,1),(29,1),(192,1)}
        18:{1,2,5,6,7}:{(7,1),(8,1),(27,1),(30,1),(31,1),(106,1),(111,1)}
        19:{1,2,3,5,7}:{(12,1),(32,1),(33,1),(69,1),(72,1)}
        20:{1,4,5,6}:{(9,1),(10,1),(25,1),(115,1),(153,1)}
        21:{2,4,5,6}:{(9,1),(26,1),(34,1),(164,1),(192,1)}
        22:{1,2,5,6}:{(10,1),(11,1),(27,1),(36,1),(72,1)}
        23:{2,3,6}:{(11,1),(12,1),(158,1)}
        24:{2,3,4,7}:{(12,1),(33,1),(37,1),(62,1),(104,1)}
        25:{1,4,5,7}:{(13,1),(14,1),(16,1),(20,1)}
        26:{2,4,5,7}:{(13,1),(17,1),(21,1),(40,1)}
        27:{1,2,5,7}:{(14,1),(15,1),(22,1),(42,1)}
        28:{2,3,6,7}:{(15,1),(23,1),(42,1),(45,1)}
        29:{2,3,6,7}:{(17,1),(40,1),(44,1),(45,1),(178,1)}
        30:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(41,1),(44,1),(45,1),(46,1),(87,1),(133,1)}
        31:{2,3,5,6,7}:{(18,1),(42,1),(45,1),(46,1),(86,1),(88,1)}
        32:{1,2,3,6}:{(19,1),(23,1),(50,1),(92,1)}
        33:{1,2,4,7}:{(19,1),(24,1),(47,1),(50,1)}
        34:{2,3,5,6}:{(21,1),(40,1),(48,1),(52,1),(53,1),(146,1),(178,1)}
        35:{1,2,4,5,6}:{(20,1),(21,1),(22,1),(41,1),(52,1),(53,1),(54,1),(89,1),(95,1),(98,1),(133,1),(138,1)}
        36:{2,3,5,6}:{(22,1),(23,1),(42,1),(53,1),(54,1),(55,1)}
        37:{2,3,4,6}:{(23,1),(24,1),(50,1),(54,1),(55,1),(94,1)}
        38:{2,3,4,5,7}:{(24,1),(51,1),(55,1),(56,1),(85,1),(101,1),(132,1),(142,1),(174,1),(186,1)}
        39:{1,2,3,6,7}:{(28,1),(32,1),(58,1),(59,1),(64,1),(117,1),(158,1),(194,1),(195,1)}
        40:{2,3,5,7}:{(26,1),(29,1),(34,1),(57,1),(60,1),(61,1)}
        41:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(30,1),(35,1),(60,1),(61,1),(62,1),(66,1),(107,1),(111,1)}
        42:{2,3,5,7}:{(27,1),(28,1),(36,1),(61,1),(62,1)}
        43:{2,3,4,6,7}:{(28,1),(37,1),(59,1),(62,1),(63,1),(65,1),(104,1),(109,1),(158,1)}
        44:{1,2,6,7}:{(29,1),(60,1),(64,1),(194,1)}
        45:{3,6,7}:{(30,1),(61,1),(158,1)}
        46:{2,4,6,7}:{(31,1),(62,1),(65,1),(66,1),(109,1)}
        47:{1,3,4,7}:{(33,1),(68,1),(69,1),(104,1),(167,1)}
        48:{2,3,4,6}:{(34,1),(57,1),(67,1),(70,1),(75,1)}
        49:{1,2,3,5,6}:{(32,1),(36,1),(58,1),(71,1),(72,1),(74,1),(106,1),(116,1),(118,1),(121,1),(158,1),(168,1),(169,1),(194,1)}
        50:{1,2,4,6}:{(32,1),(33,1),(37,1),(68,1),(72,1)}
        51:{1,2,4,5,7}:{(33,1),(38,1),(69,1),(72,1),(73,1),(115,1),(123,1),(167,1)}
        52:{1,2,5,6}:{(34,1),(60,1),(70,1),(74,1),(168,1),(194,1)}
        53:{3,5,6}:{(35,1),(61,1),(75,1),(121,1),(158,1)}
        54:{2,4,6}:{(36,1),(62,1),(75,1),(76,1)}
        55:{2,3,5}:{(37,1),(72,1),(76,1),(121,1)}
        56:{2,3,4,6}:{(38,1),(73,1),(77,1),(109,1),(158,1),(166,1),(192,1)}
        57:{2,3,4,7}:{(40,1),(48,1),(80,1),(84,1)}
        58:{1,2,3,5,7}:{(39,1),(42,1),(49,1),(81,1),(82,1),(83,1),(129,1),(132,1),(144,1),(177,1),(188,1)}
        59:{1,2,4,6,7}:{(39,1),(43,1),(50,1),(79,1),(81,1),(82,1),(87,1),(133,1),(204,1)}
        60:{1,2,5,7}:{(40,1),(44,1),(52,1),(80,1),(83,1)}
        61:{3,5,7}:{(41,1),(45,1),(53,1),(84,1)}
        62:{2,4,7}:{(42,1),(54,1),(84,1)}
        63:{2,3,5,7}:{(43,1),(55,1),(82,1),(85,1),(86,1),(88,1),(132,1)}
        64:{1,3,6,7}:{(44,1),(45,1),(83,1),(87,1),(179,1)}
        65:{3,4,6,7}:{(45,1),(46,1),(84,1),(87,1),(88,1),(136,1)}
        66:{2,4,5,7}:{(46,1),(88,1),(89,1)}
        67:{2,3,4,5}:{(48,1),(90,1),(99,1),(146,1),(182,1)}
        68:{1,3,4,6}:{(47,1),(50,1),(91,1),(92,1),(94,1),(143,1)}
        69:{1,3,5,7}:{(47,1),(51,1),(91,1),(92,1),(132,1)}
        70:{1,2,4,6}:{(48,1),(52,1),(80,1),(90,1),(93,1),(98,1)}
        71:{1,2,4,6}:{(49,1),(54,1),(81,1),(94,1),(95,1),(98,1),(143,1),(184,1)}
        72:{1,2,5}:{(50,1),(55,1),(91,1)}
        73:{1,2,4,6}:{(51,1),(56,1),(92,1),(96,1),(143,1)}
        74:{1,3,5,6}:{(52,1),(53,1),(83,1),(93,1),(98,1),(138,1),(147,1),(179,1)}
        75:{3,4,6}:{(53,1),(54,1),(84,1),(98,1),(99,1)}
        76:{2,4,5}:{(54,1),(55,1),(99,1)}
        77:{2,3,5,6}:{(55,1),(56,1),(96,1),(100,1),(101,1),(148,1),(202,1)}
        78:{2,3,4,6,7}:{(56,1),(97,1),(101,1),(137,1),(180,1),(186,1),(204,1)}
        79:{1,3,4,6,7}:{(59,1),(68,1),(102,1),(104,1),(117,1),(153,1),(158,1),(167,1),(193,1)}
        80:{1,2,4,7}:{(57,1),(60,1),(70,1),(103,1),(107,1)}
        81:{1,2,4,7}:{(58,1),(62,1),(71,1),(104,1),(107,1),(167,1),(199,1)}
        82:{1,2,5,7}:{(59,1),(63,1),(72,1),(102,1),(106,1),(111,1),(208,1)}
        83:{1,3,5,7}:{(60,1),(61,1),(64,1),(74,1),(103,1),(107,1),(111,1)}
        84:{3,4,7}:{(61,1),(62,1),(75,1),(107,1)}
        85:{2,4,5,7}:{(62,1),(63,1),(76,1),(108,1),(109,1)}
        86:{2,3,5,6}:{(63,1),(106,1),(109,1),(112,1),(158,1)}
        87:{1,4,6,7}:{(64,1),(65,1),(107,1),(111,1),(160,1)}
        88:{3,5,7}:{(65,1),(66,1),(111,1),(112,1)}
        89:{2,4,5,6}:{(66,1),(109,1),(112,1)}
        90:{1,2,4,5}:{(67,1),(70,1),(114,1),(124,1),(163,1),(168,1)}
        91:{1,3,5}:{(68,1),(72,1),(115,1),(121,1)}
        92:{1,3,6}:{(69,1),(73,1),(158,1)}
        93:{1,3,6}:{(70,1),(103,1),(114,1)}
        94:{3,4,6}:{(71,1),(104,1),(121,1),(158,1)}
        95:{1,2,4,5}:{(71,1),(72,1),(76,1),(115,1),(121,1),(124,1),(164,1),(168,1)}
        96:{1,2,5,6}:{(72,1),(73,1),(77,1),(116,1),(123,1)}
        97:{1,2,4,6,7}:{(73,1),(78,1),(117,1),(123,1),(167,1)}
        98:{1,4,6}:{(74,1),(75,1),(107,1),(124,1)}
        99:{3,4,5}:{(75,1),(76,1),(121,1),(124,1)}
       100:{2,4,5,6}:{(76,1),(77,1),(109,1),(125,1),(126,1)}
       101:{2,3,5,7}:{(77,1),(78,1),(123,1),(126,1),(171,1),(208,1)}
       102:{1,3,5,7}:{(79,1),(82,1),(91,1),(127,1),(128,1),(132,1),(203,1)}
       103:{1,3,7}:{(80,1),(93,1)}
       104:{3,4,7}:{(81,1),(94,1),(132,1)}
       105:{1,2,4,5,7}:{(81,1),(82,1),(85,1),(95,1),(127,1),(132,1),(133,1),(135,1),(174,1),(177,1)}
       106:{1,2,5,6}:{(82,1),(86,1),(128,1),(133,1),(138,1),(202,1)}
       107:{1,4,7}:{(83,1),(84,1),(98,1)}
       108:{3,4,5,7}:{(84,1),(85,1),(88,1),(99,1),(132,1),(135,1),(136,1)}
       109:{2,4,6}:{(85,1),(86,1),(136,1)}
       110:{2,3,5,6,7}:{(86,1),(101,1),(134,1),(137,1),(139,1),(180,1)}
       111:{1,5,7}:{(87,1),(88,1),(138,1)}
       112:{3,5,6}:{(88,1),(89,1),(136,1),(138,1)}
       113:{2,4,5,6,7}:{(89,1),(137,1),(139,1)}
       114:{1,3,5}:{(90,1),(93,1),(141,1)}
       115:{1,4,5}:{(91,1),(142,1),(143,1)}
       116:{1,3,5,6}:{(91,1),(92,1),(96,1),(143,1),(144,1),(148,1)}
       117:{1,3,6,7}:{(92,1),(97,1),(144,1),(180,1)}
       118:{1,2,3,6}:{(93,1),(129,1),(140,1),(145,1),(206,1)}
       119:{2,3,4,6}:{(94,1),(130,1),(145,1),(146,1),(178,1),(182,1),(184,1),(206,1)}
       120:{1,3,4,6}:{(93,1),(94,1),(98,1),(131,1),(141,1),(145,1),(147,1),(179,1)}
       121:{3,5}:{(94,1),(95,1)}
       122:{1,2,4,5,6}:{(95,1),(96,1),(100,1),(133,1),(143,1),(148,1),(149,1),(150,1),(173,1),(184,1),(187,1),(202,1)}
       123:{1,2,5,7}:{(96,1),(97,1),(101,1),(144,1)}
       124:{1,4,5}:{(98,1),(99,1),(147,1)}
       125:{3,4,5,6}:{(99,1),(100,1),(136,1),(148,1),(150,1),(151,1)}
       126:{2,4,5,7}:{(100,1),(101,1),(137,1),(151,1)}
       127:{1,4,5,7}:{(102,1),(115,1),(152,1),(153,1),(167,1)}
       128:{1,3,5,6}:{(102,1),(106,1),(153,1),(158,1),(190,1)}
       129:{1,2,3,7}:{(103,1),(118,1),(155,1),(209,1)}
       130:{2,3,4,7}:{(104,1),(119,1),(155,1),(156,1),(199,1),(209,1)}
       131:{1,3,4,7}:{(103,1),(104,1),(107,1),(120,1),(155,1),(157,1)}
       132:{3,5,7}:{(104,1),(105,1),(121,1),(158,1)}
       133:{1,2,4,6}:{(105,1),(106,1),(109,1),(153,1),(158,1),(160,1),(192,1),(194,1)}
       134:{1,2,5,6,7}:{(106,1),(110,1),(123,1),(154,1),(159,1),(162,1),(208,1)}
       135:{1,4,5,7}:{(107,1),(108,1),(111,1),(124,1),(157,1),(160,1)}
       136:{3,4,6}:{(108,1),(109,1),(112,1),(158,1),(160,1)}
       137:{2,4,6,7}:{(109,1),(110,1),(126,1),(161,1)}
       138:{1,5,6}:{(111,1),(112,1),(160,1)}
       139:{3,5,6,7}:{(112,1),(113,1),(161,1),(162,1)}
       140:{1,2,3,5}:{(114,1),(118,1),(163,1),(168,1),(197,1)}
       141:{1,3,4}:{(114,1),(163,1)}
       142:{3,4,5}:{(115,1),(121,1),(164,1),(166,1)}
       143:{1,4,6}:{(115,1),(116,1),(166,1),(167,1)}
       144:{1,3,5,7}:{(116,1),(117,1),(123,1),(167,1),(171,1)}
       145:{1,2,4,6}:{(118,1),(119,1),(120,1),(155,1),(163,1),(168,1),(194,1)}
       146:{2,3,5}:{(119,1),(121,1),(164,1),(168,1)}
       147:{1,3,5}:{(120,1),(121,1),(124,1),(168,1)}
       148:{3,5,6}:{(121,1),(122,1),(158,1),(166,1),(171,1)}
       149:{1,2,4,5,7}:{(122,1),(123,1),(126,1),(159,1),(167,1),(171,1),(172,1),(191,1),(199,1),(201,1),(208,1)}
       150:{1,4,5,6}:{(124,1),(125,1),(160,1),(170,1),(172,1)}
       151:{3,4,5,7}:{(125,1),(126,1),(161,1),(171,1),(172,1)}
       152:{3,4,5,7}:{(127,1),(132,1),(142,1),(174,1),(175,1),(186,1),(203,1)}
       153:{1,4,6}:{(127,1),(128,1),(175,1)}
       154:{1,3,5,6,7}:{(128,1),(134,1),(144,1),(176,1),(180,1),(203,1)}
       155:{1,2,4,7}:{(129,1),(130,1),(131,1),(145,1),(177,1)}
       156:{2,3,5,7}:{(130,1),(132,1),(146,1),(174,1),(177,1),(178,1)}
       157:{1,3,5,7}:{(131,1),(132,1),(135,1),(147,1),(177,1),(179,1)}
       158:{3,6}:{(132,1),(133,1)}
       159:{1,2,4,6,7}:{(133,1),(134,1),(137,1),(149,1),(176,1),(180,1),(181,1),(204,1),(205,1)}
       160:{1,4,6}:{(135,1),(136,1),(138,1),(179,1)}
       161:{3,4,6,7}:{(136,1),(137,1),(139,1),(151,1),(180,1),(181,1)}
       162:{1,5,6,7}:{(138,1),(139,1),(181,1)}
       163:{1,2,4}:{(140,1),(141,1),(182,1)}
       164:{2,4,5}:{(142,1),(146,1),(184,1)}
       165:{1,3,4,5}:{(141,1),(142,1),(147,1),(183,1),(185,1)}
       166:{3,4,6}:{(142,1),(143,1),(148,1),(184,1),(186,1)}
       167:{1,4,7}:{(143,1),(144,1),(186,1)}
       168:{1,2,5}:{(145,1),(146,1),(147,1)}
       169:{2,3,5,6}:{(146,1),(148,1),(178,1),(184,1),(187,1),(188,1),(202,1),(206,1)}
       170:{1,3,5,6}:{(147,1),(148,1),(150,1),(179,1),(185,1),(187,1),(189,1)}
       171:{3,5,7}:{(148,1),(149,1),(180,1),(186,1)}
       172:{1,4,5,7}:{(150,1),(151,1),(181,1),(189,1)}
       173:{1,4,5,6}:{(153,1),(190,1),(191,1)}
       174:{2,4,5,7}:{(152,1),(156,1),(164,1),(192,1),(199,1),(208,1)}
       175:{3,4,6}:{(152,1),(153,1),(158,1),(190,1),(192,1)}
       176:{1,4,6,7}:{(153,1),(154,1),(167,1),(191,1),(193,1)}
       177:{1,2,5,7}:{(155,1),(156,1),(157,1),(168,1),(194,1)}
       178:{2,3,6}:{(156,1),(158,1),(192,1),(194,1)}
       179:{1,3,6}:{(157,1),(158,1),(160,1),(194,1)}
       180:{3,6,7}:{(158,1),(159,1),(171,1)}
       181:{1,4,6,7}:{(160,1),(161,1),(162,1),(172,1),(196,1)}
       182:{2,3,4}:{(163,1),(197,1)}
       183:{1,2,4,5}:{(163,1),(164,1),(165,1),(168,1),(197,1),(198,1)}
       184:{2,4,6}:{(164,1),(166,1),(169,1),(199,1)}
       185:{1,3,4,6}:{(165,1),(166,1),(170,1),(198,1),(200,1)}
       186:{3,4,7}:{(166,1),(167,1),(171,1),(199,1)}
       187:{1,2,5,6}:{(168,1),(169,1),(170,1),(194,1),(198,1),(201,1)}
       188:{2,3,5,7}:{(169,1),(171,1),(195,1),(199,1),(201,1),(208,1),(209,1)}
       189:{1,3,5,7}:{(170,1),(171,1),(172,1),(196,1),(200,1),(201,1)}
       190:{3,5,6}:{(173,1),(175,1),(202,1),(203,1)}
       191:{1,4,5,7}:{(173,1),(176,1),(203,1)}
       192:{2,4,6}:{(174,1),(175,1),(178,1),(202,1)}
       193:{3,4,6,7}:{(175,1),(176,1),(180,1),(186,1),(203,1),(204,1)}
       194:{1,2,6}:{(177,1),(178,1),(179,1)}
       195:{2,3,6,7}:{(178,1),(180,1),(188,1),(204,1),(205,1)}
       196:{1,3,6,7}:{(179,1),(180,1),(181,1),(189,1),(205,1)}
       197:{2,3,5}:{(182,1),(183,1),(206,1)}
       198:{1,2,4,6}:{(183,1),(184,1),(185,1),(187,1),(206,1),(207,1)}
       199:{2,4,7}:{(184,1),(186,1),(188,1)}
       200:{1,3,4,7}:{(185,1),(186,1),(189,1),(207,1)}
       201:{1,2,5,7}:{(187,1),(188,1),(189,1),(205,1),(207,1)}
       202:{2,5,6}:{(190,1),(192,1),(208,1)}
       203:{3,5,7}:{(190,1),(191,1),(193,1),(208,1)}
       204:{2,4,6,7}:{(192,1),(193,1),(195,1),(199,1),(208,1)}
       205:{1,2,6,7}:{(194,1),(195,1),(196,1),(201,1)}
       206:{2,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,2,4,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       208:{2,5,7}:{(202,1),(203,1),(204,1)}
       209:{2,3,7}:{(206,1),(207,1)}

1294 :   0:{2,4,5,6,7}:{(1,1),(13,1),(163,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(5,1),(182,1)}
         2:{2,3,4,5,7}:{(7,1),(8,1),(10,1),(57,1),(72,1),(103,1),(111,1),(114,1),(119,1),(122,1)}
         3:{2,3,4,6,7}:{(7,1),(10,1),(11,1),(13,1),(38,1),(72,1),(75,1)}
         4:{3,4,6,7}:{(1,1),(9,1),(12,1),(13,1),(38,1),(165,1)}
         5:{1,5,6,7}:{(1,1),(12,1),(197,1)}
         6:{2,3,5,6,7}:{(1,1),(10,1),(13,1),(14,1),(38,1),(115,1)}
         7:{2,3,4,6}:{(2,1),(16,1),(17,1),(86,1),(141,1),(146,1),(148,1)}
         8:{1,2,4,5,7}:{(2,1),(17,1),(18,1),(21,1),(41,1),(52,1),(83,1),(87,1)}
         9:{3,4,5,7}:{(4,1),(15,1),(19,1),(20,1),(51,1)}
        10:{2,3,5,7}:{(3,1),(16,1),(20,1),(21,1),(51,1),(99,1)}
        11:{1,2,4,6,7}:{(3,1),(17,1),(21,1),(22,1),(52,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(19,1),(23,1),(184,1)}
        13:{2,4,6,7}:{(4,1),(6,1),(20,1),(141,1)}
        14:{1,2,5,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(94,1),(99,1)}
        15:{3,4,5,6}:{(9,1),(27,1),(28,1),(63,1),(153,1),(165,1)}
        16:{2,3,5,6}:{(7,1),(10,1),(28,1),(29,1),(63,1),(103,1),(125,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(29,1),(30,1),(64,1)}
        18:{1,3,5,7}:{(8,1),(30,1),(31,1),(65,1),(119,1)}
        19:{1,4,5,7}:{(9,1),(12,1),(27,1),(33,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(13,1),(28,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(29,1),(35,1)}
        22:{1,3,6,7}:{(11,1),(30,1),(35,1),(38,1)}
        23:{1,3,6,7}:{(12,1),(33,1),(37,1),(38,1),(169,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(34,1),(37,1),(38,1),(39,1),(75,1),(120,1)}
        25:{1,3,5,6,7}:{(14,1),(35,1),(38,1),(39,1),(74,1),(76,1)}
        26:{1,2,3,5,7}:{(18,1),(40,1),(41,1),(80,1),(83,1)}
        27:{1,4,5,6}:{(15,1),(19,1),(42,1),(174,1),(184,1)}
        28:{2,4,5,6}:{(15,1),(16,1),(20,1),(128,1),(141,1)}
        29:{1,2,5,6}:{(16,1),(17,1),(21,1),(44,1),(83,1)}
        30:{1,3,6}:{(17,1),(18,1),(146,1)}
        31:{1,3,4,7}:{(18,1),(41,1),(45,1),(52,1),(92,1)}
        32:{1,2,3,6,7}:{(22,1),(40,1),(48,1),(49,1),(54,1),(130,1),(146,1),(186,1),(188,1)}
        33:{1,3,5,7}:{(19,1),(23,1),(42,1),(47,1),(50,1),(51,1)}
        34:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(24,1),(43,1),(50,1),(51,1),(52,1),(56,1),(95,1),(99,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(44,1),(51,1),(52,1)}
        36:{1,3,4,6,7}:{(22,1),(45,1),(49,1),(52,1),(53,1),(55,1),(92,1),(97,1),(146,1)}
        37:{1,2,6,7}:{(23,1),(50,1),(54,1),(186,1)}
        38:{3,6,7}:{(24,1),(51,1),(146,1)}
        39:{1,4,6,7}:{(25,1),(52,1),(55,1),(56,1),(97,1)}
        40:{1,2,3,6}:{(26,1),(30,1),(60,1),(104,1)}
        41:{1,2,4,7}:{(26,1),(31,1),(57,1),(60,1)}
        42:{1,3,5,6}:{(27,1),(33,1),(58,1),(62,1),(63,1),(158,1),(169,1)}
        43:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(34,1),(62,1),(63,1),(64,1),(77,1),(107,1),(110,1),(120,1),(125,1)}
        44:{1,3,5,6}:{(29,1),(30,1),(35,1),(63,1),(64,1),(65,1)}
        45:{1,3,4,6}:{(30,1),(31,1),(60,1),(64,1),(65,1),(106,1)}
        46:{1,3,4,5,7}:{(31,1),(61,1),(65,1),(66,1),(73,1),(113,1),(119,1),(153,1),(164,1),(193,1)}
        47:{1,3,4,7}:{(33,1),(58,1),(68,1),(72,1)}
        48:{1,2,3,5,7}:{(32,1),(35,1),(59,1),(69,1),(70,1),(71,1),(116,1),(119,1),(155,1),(167,1),(196,1)}
        49:{1,2,4,6,7}:{(32,1),(36,1),(60,1),(67,1),(69,1),(70,1),(75,1),(120,1),(199,1)}
        50:{1,2,5,7}:{(33,1),(37,1),(62,1),(68,1),(71,1)}
        51:{3,5,7}:{(34,1),(38,1),(63,1),(72,1)}
        52:{1,4,7}:{(35,1),(64,1),(72,1)}
        53:{1,3,5,7}:{(36,1),(65,1),(70,1),(73,1),(74,1),(76,1),(119,1)}
        54:{2,3,6,7}:{(37,1),(38,1),(71,1),(75,1),(168,1)}
        55:{3,4,6,7}:{(38,1),(39,1),(72,1),(75,1),(76,1),(123,1)}
        56:{1,4,5,7}:{(39,1),(76,1),(77,1)}
        57:{2,3,4,7}:{(41,1),(79,1),(80,1),(92,1),(176,1)}
        58:{1,3,4,6}:{(42,1),(47,1),(78,1),(81,1),(86,1)}
        59:{1,2,3,5,6}:{(40,1),(44,1),(48,1),(82,1),(83,1),(85,1),(94,1),(129,1),(131,1),(134,1),(146,1),(177,1),(179,1),(186,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(45,1),(79,1),(83,1)}
        61:{1,2,4,5,7}:{(41,1),(46,1),(80,1),(83,1),(84,1),(128,1),(136,1),(176,1)}
        62:{1,2,5,6}:{(42,1),(50,1),(81,1),(85,1),(177,1),(186,1)}
        63:{3,5,6}:{(43,1),(51,1),(86,1),(134,1),(146,1)}
        64:{1,4,6}:{(44,1),(52,1),(86,1),(87,1)}
        65:{1,3,5}:{(45,1),(83,1),(87,1),(134,1)}
        66:{1,3,4,6}:{(46,1),(84,1),(88,1),(97,1),(146,1),(175,1),(184,1)}
        67:{2,3,4,6,7}:{(49,1),(79,1),(90,1),(92,1),(130,1),(141,1),(146,1),(176,1),(185,1)}
        68:{1,2,4,7}:{(47,1),(50,1),(81,1),(91,1),(95,1)}
        69:{1,2,4,7}:{(48,1),(52,1),(82,1),(92,1),(95,1),(176,1),(204,1)}
        70:{1,2,5,7}:{(49,1),(53,1),(83,1),(90,1),(94,1),(99,1),(206,1)}
        71:{2,3,5,7}:{(50,1),(51,1),(54,1),(85,1),(91,1),(95,1),(99,1)}
        72:{3,4,7}:{(51,1),(52,1),(86,1),(95,1)}
        73:{1,4,5,7}:{(52,1),(53,1),(87,1),(96,1),(97,1)}
        74:{1,3,5,6}:{(53,1),(94,1),(97,1),(100,1),(146,1)}
        75:{2,4,6,7}:{(54,1),(55,1),(95,1),(99,1),(148,1)}
        76:{3,5,7}:{(55,1),(56,1),(99,1),(100,1)}
        77:{1,4,5,6}:{(56,1),(97,1),(100,1)}
        78:{1,3,4,5}:{(58,1),(102,1),(111,1),(158,1),(189,1)}
        79:{2,3,4,6}:{(57,1),(60,1),(103,1),(104,1),(106,1),(154,1)}
        80:{2,3,5,7}:{(57,1),(61,1),(103,1),(104,1),(119,1)}
        81:{1,2,4,6}:{(58,1),(62,1),(68,1),(102,1),(105,1),(110,1)}
        82:{1,2,4,6}:{(59,1),(64,1),(69,1),(106,1),(107,1),(110,1),(154,1),(192,1)}
        83:{1,2,5}:{(60,1),(65,1),(103,1)}
        84:{1,2,4,6}:{(61,1),(66,1),(104,1),(108,1),(154,1)}
        85:{2,3,5,6}:{(62,1),(63,1),(71,1),(105,1),(110,1),(125,1),(157,1),(168,1)}
        86:{3,4,6}:{(63,1),(64,1),(72,1),(110,1),(111,1)}
        87:{1,4,5}:{(64,1),(65,1),(111,1)}
        88:{1,3,5,6}:{(65,1),(66,1),(108,1),(112,1),(113,1),(159,1),(197,1)}
        89:{1,3,4,6,7}:{(66,1),(109,1),(113,1),(124,1),(170,1),(193,1),(199,1)}
        90:{2,3,5,7}:{(67,1),(70,1),(103,1),(114,1),(115,1),(119,1),(198,1)}
        91:{2,3,7}:{(68,1),(105,1)}
        92:{3,4,7}:{(69,1),(106,1),(119,1)}
        93:{1,2,4,5,7}:{(69,1),(70,1),(73,1),(107,1),(114,1),(119,1),(120,1),(122,1),(164,1),(167,1)}
        94:{1,2,5,6}:{(70,1),(74,1),(115,1),(120,1),(125,1),(197,1)}
        95:{2,4,7}:{(71,1),(72,1),(110,1)}
        96:{3,4,5,7}:{(72,1),(73,1),(76,1),(111,1),(119,1),(122,1),(123,1)}
        97:{1,4,6}:{(73,1),(74,1),(123,1)}
        98:{1,3,5,6,7}:{(74,1),(113,1),(121,1),(124,1),(126,1),(170,1)}
        99:{2,5,7}:{(75,1),(76,1),(125,1)}
       100:{3,5,6}:{(76,1),(77,1),(123,1),(125,1)}
       101:{1,4,5,6,7}:{(77,1),(124,1),(126,1)}
       102:{1,2,4,5}:{(78,1),(81,1),(127,1),(137,1),(172,1),(177,1)}
       103:{2,3,5}:{(79,1),(83,1),(128,1),(134,1)}
       104:{2,3,6}:{(80,1),(84,1),(146,1)}
       105:{2,3,6}:{(81,1),(91,1),(127,1)}
       106:{3,4,6}:{(82,1),(92,1),(134,1),(146,1)}
       107:{1,2,4,5}:{(82,1),(83,1),(87,1),(128,1),(134,1),(137,1),(174,1),(177,1)}
       108:{1,2,5,6}:{(83,1),(84,1),(88,1),(129,1),(136,1)}
       109:{1,2,4,6,7}:{(84,1),(89,1),(130,1),(136,1),(176,1)}
       110:{2,4,6}:{(85,1),(86,1),(95,1),(137,1)}
       111:{3,4,5}:{(86,1),(87,1),(134,1),(137,1)}
       112:{1,4,5,6}:{(87,1),(88,1),(97,1),(138,1),(139,1)}
       113:{1,3,5,7}:{(88,1),(89,1),(136,1),(139,1),(180,1),(206,1)}
       114:{2,4,5,7}:{(90,1),(128,1),(140,1),(141,1),(176,1)}
       115:{2,3,5,6}:{(90,1),(94,1),(141,1),(146,1),(182,1)}
       116:{1,2,3,7}:{(91,1),(131,1),(143,1),(209,1)}
       117:{2,3,4,7}:{(91,1),(92,1),(95,1),(132,1),(143,1),(144,1)}
       118:{1,3,4,7}:{(92,1),(133,1),(143,1),(145,1),(204,1),(209,1)}
       119:{3,5,7}:{(92,1),(93,1),(134,1),(146,1)}
       120:{1,2,4,6}:{(93,1),(94,1),(97,1),(141,1),(146,1),(148,1),(184,1),(186,1)}
       121:{1,2,5,6,7}:{(94,1),(98,1),(136,1),(142,1),(147,1),(150,1),(206,1)}
       122:{2,4,5,7}:{(95,1),(96,1),(99,1),(137,1),(144,1),(148,1)}
       123:{3,4,6}:{(96,1),(97,1),(100,1),(146,1),(148,1)}
       124:{1,4,6,7}:{(97,1),(98,1),(139,1),(149,1)}
       125:{2,5,6}:{(99,1),(100,1),(148,1)}
       126:{3,5,6,7}:{(100,1),(101,1),(149,1),(150,1)}
       127:{2,3,5}:{(102,1),(105,1),(152,1)}
       128:{2,4,5}:{(103,1),(153,1),(154,1)}
       129:{2,3,5,6}:{(103,1),(104,1),(108,1),(154,1),(155,1),(159,1)}
       130:{2,3,6,7}:{(104,1),(109,1),(155,1),(170,1)}
       131:{1,2,3,6}:{(105,1),(116,1),(151,1),(156,1),(207,1)}
       132:{2,3,4,6}:{(105,1),(106,1),(110,1),(117,1),(152,1),(156,1),(157,1),(168,1)}
       133:{1,3,4,6}:{(106,1),(118,1),(156,1),(158,1),(169,1),(189,1),(192,1),(207,1)}
       134:{3,5}:{(106,1),(107,1)}
       135:{1,2,4,5,6}:{(107,1),(108,1),(112,1),(120,1),(154,1),(159,1),(160,1),(161,1),(163,1),(192,1),(194,1),(197,1)}
       136:{1,2,5,7}:{(108,1),(109,1),(113,1),(155,1)}
       137:{2,4,5}:{(110,1),(111,1),(157,1)}
       138:{3,4,5,6}:{(111,1),(112,1),(123,1),(159,1),(161,1),(162,1)}
       139:{1,4,5,7}:{(112,1),(113,1),(124,1),(162,1)}
       140:{3,4,5,7}:{(114,1),(119,1),(153,1),(164,1),(165,1),(193,1),(198,1)}
       141:{2,4,6}:{(114,1),(115,1),(165,1)}
       142:{2,3,5,6,7}:{(115,1),(121,1),(155,1),(166,1),(170,1),(198,1)}
       143:{1,2,4,7}:{(116,1),(117,1),(118,1),(156,1),(167,1)}
       144:{2,3,5,7}:{(117,1),(119,1),(122,1),(157,1),(167,1),(168,1)}
       145:{1,3,5,7}:{(118,1),(119,1),(158,1),(164,1),(167,1),(169,1)}
       146:{3,6}:{(119,1),(120,1)}
       147:{1,2,4,6,7}:{(120,1),(121,1),(124,1),(160,1),(166,1),(170,1),(171,1),(199,1),(200,1)}
       148:{2,4,6}:{(122,1),(123,1),(125,1),(168,1)}
       149:{3,4,6,7}:{(123,1),(124,1),(126,1),(162,1),(170,1),(171,1)}
       150:{2,5,6,7}:{(125,1),(126,1),(171,1)}
       151:{1,2,3,5}:{(127,1),(131,1),(172,1),(177,1),(201,1)}
       152:{2,3,4}:{(127,1),(172,1)}
       153:{3,4,5}:{(128,1),(134,1),(174,1),(175,1)}
       154:{2,4,6}:{(128,1),(129,1),(175,1),(176,1)}
       155:{2,3,5,7}:{(129,1),(130,1),(136,1),(176,1),(180,1)}
       156:{1,2,4,6}:{(131,1),(132,1),(133,1),(143,1),(172,1),(177,1),(186,1)}
       157:{2,3,5}:{(132,1),(134,1),(137,1),(177,1)}
       158:{1,3,5}:{(133,1),(134,1),(174,1),(177,1)}
       159:{3,5,6}:{(134,1),(135,1),(146,1),(175,1),(180,1)}
       160:{1,2,4,5,7}:{(135,1),(136,1),(139,1),(147,1),(176,1),(180,1),(181,1),(183,1),(204,1),(205,1),(206,1)}
       161:{2,4,5,6}:{(137,1),(138,1),(148,1),(178,1),(181,1)}
       162:{3,4,5,7}:{(138,1),(139,1),(149,1),(180,1),(181,1)}
       163:{2,4,5,6}:{(141,1),(182,1),(183,1)}
       164:{1,4,5,7}:{(140,1),(145,1),(174,1),(184,1),(204,1),(206,1)}
       165:{3,4,6}:{(140,1),(141,1),(146,1),(182,1),(184,1)}
       166:{2,4,6,7}:{(141,1),(142,1),(176,1),(183,1),(185,1)}
       167:{1,2,5,7}:{(143,1),(144,1),(145,1),(177,1),(186,1)}
       168:{2,3,6}:{(144,1),(146,1),(148,1),(186,1)}
       169:{1,3,6}:{(145,1),(146,1),(184,1),(186,1)}
       170:{3,6,7}:{(146,1),(147,1),(180,1)}
       171:{2,4,6,7}:{(148,1),(149,1),(150,1),(181,1),(187,1)}
       172:{1,2,4}:{(151,1),(152,1),(189,1)}
       173:{2,3,4,5}:{(152,1),(153,1),(157,1),(190,1),(191,1)}
       174:{1,4,5}:{(153,1),(158,1),(192,1)}
       175:{3,4,6}:{(153,1),(154,1),(159,1),(192,1),(193,1)}
       176:{2,4,7}:{(154,1),(155,1),(193,1)}
       177:{1,2,5}:{(156,1),(157,1),(158,1)}
       178:{2,3,5,6}:{(157,1),(159,1),(161,1),(168,1),(191,1),(194,1),(195,1)}
       179:{1,3,5,6}:{(158,1),(159,1),(169,1),(192,1),(194,1),(196,1),(197,1),(207,1)}
       180:{3,5,7}:{(159,1),(160,1),(170,1),(193,1)}
       181:{2,4,5,7}:{(161,1),(162,1),(171,1),(195,1)}
       182:{3,5,6}:{(163,1),(165,1),(197,1),(198,1)}
       183:{2,4,5,7}:{(163,1),(166,1),(198,1)}
       184:{1,4,6}:{(164,1),(165,1),(169,1),(197,1)}
       185:{3,4,6,7}:{(165,1),(166,1),(170,1),(193,1),(198,1),(199,1)}
       186:{1,2,6}:{(167,1),(168,1),(169,1)}
       187:{2,3,6,7}:{(168,1),(170,1),(171,1),(195,1),(200,1)}
       188:{1,3,6,7}:{(169,1),(170,1),(196,1),(199,1),(200,1)}
       189:{1,3,4}:{(172,1),(201,1)}
       190:{1,2,4,5}:{(172,1),(173,1),(174,1),(177,1),(201,1),(202,1)}
       191:{2,3,4,6}:{(173,1),(175,1),(178,1),(202,1),(203,1)}
       192:{1,4,6}:{(174,1),(175,1),(179,1),(204,1)}
       193:{3,4,7}:{(175,1),(176,1),(180,1),(204,1)}
       194:{1,2,5,6}:{(177,1),(178,1),(179,1),(186,1),(202,1),(205,1)}
       195:{2,3,5,7}:{(178,1),(180,1),(181,1),(187,1),(203,1),(205,1)}
       196:{1,3,5,7}:{(179,1),(180,1),(188,1),(204,1),(205,1),(206,1),(209,1)}
       197:{1,5,6}:{(182,1),(184,1),(206,1)}
       198:{3,5,7}:{(182,1),(183,1),(185,1),(206,1)}
       199:{1,4,6,7}:{(184,1),(185,1),(188,1),(204,1),(206,1)}
       200:{1,2,6,7}:{(186,1),(187,1),(188,1),(205,1)}
       201:{1,3,5}:{(189,1),(190,1),(207,1)}
       202:{1,2,4,6}:{(190,1),(191,1),(192,1),(194,1),(207,1),(208,1)}
       203:{2,3,4,7}:{(191,1),(193,1),(195,1),(208,1)}
       204:{1,4,7}:{(192,1),(193,1),(196,1)}
       205:{1,2,5,7}:{(194,1),(195,1),(196,1),(200,1),(208,1)}
       206:{1,5,7}:{(197,1),(198,1),(199,1)}
       207:{1,3,6}:{(201,1),(202,1),(209,1)}
       208:{1,2,4,7}:{(202,1),(203,1),(204,1),(205,1),(209,1)}
       209:{1,3,7}:{(207,1),(208,1)}

1295 :   0:{1,2,3,6,7}:{(2,1),(3,1),(40,1),(77,1),(78,1),(79,1),(80,1),(104,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(38,1),(40,1),(46,1),(79,1),(96,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(7,1),(8,1),(24,1),(57,1),(65,1),(84,1),(93,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(25,1),(61,1),(62,1),(89,1),(90,1),(92,1)}
         4:{2,3,5,7}:{(1,1),(7,1),(9,1),(10,1),(25,1),(56,1),(63,1)}
         5:{1,3,4,6,7}:{(2,1),(11,1),(15,1),(33,1),(37,1),(40,1),(68,1),(78,1),(95,1),(104,1)}
         6:{1,2,3,5,6}:{(3,1),(12,1),(13,1),(36,1),(40,1),(74,1),(75,1),(76,1),(77,1),(80,1)}
         7:{1,2,5,7}:{(2,1),(4,1),(11,1),(13,1),(76,1),(81,1),(94,1)}
         8:{1,2,4,7}:{(3,1),(12,1),(15,1),(95,1),(96,1),(100,1)}
         9:{2,3,5,6}:{(4,1),(13,1),(17,1),(40,1),(45,1)}
        10:{2,4,5,7}:{(4,1),(17,1),(18,1),(72,1),(96,1)}
        11:{1,3,5,7}:{(5,1),(7,1),(19,1),(20,1),(25,1),(55,1),(82,1)}
        12:{1,2,4,6}:{(6,1),(8,1),(21,1),(22,1),(86,1),(87,1)}
        13:{1,2,5,6}:{(7,1),(9,1),(19,1),(24,1),(64,1),(83,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(10,1),(20,1),(21,1),(24,1),(25,1),(31,1),(51,1),(61,1),(88,1),(101,1)}
        15:{3,4,7}:{(8,1),(22,1),(25,1),(103,1)}
        16:{2,3,5,6,7}:{(9,1),(23,1),(29,1),(58,1),(63,1),(90,1)}
        17:{2,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(25,1),(30,1),(31,1),(52,1),(63,1),(85,1)}
        19:{1,3,5,6}:{(11,1),(13,1),(33,1),(40,1),(67,1)}
        20:{1,4,5,7}:{(11,1),(33,1),(34,1),(71,1),(95,1)}
        21:{1,2,4,5}:{(12,1),(36,1),(71,1),(72,1),(76,1)}
        22:{3,4,6}:{(12,1),(15,1),(36,1),(40,1)}
        23:{1,2,5,6,7}:{(13,1),(16,1),(32,1),(39,1),(81,1),(94,1),(99,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(17,1),(33,1),(40,1),(47,1),(69,1),(80,1)}
        25:{3,5,7}:{(14,1),(15,1),(36,1),(40,1),(98,1),(104,1)}
        26:{1,3,4,7}:{(15,1),(37,1),(41,1),(43,1),(95,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(38,1),(42,1),(43,1),(96,1),(104,1)}
        28:{2,4,5,6}:{(17,1),(44,1),(45,1)}
        29:{2,4,6,7}:{(16,1),(17,1),(44,1),(46,1),(96,1)}
        30:{3,4,6}:{(17,1),(18,1),(40,1),(45,1),(47,1)}
        31:{1,4,5,7}:{(18,1),(41,1),(47,1),(71,1),(81,1),(95,1)}
        32:{1,3,5,6,7}:{(19,1),(23,1),(49,1),(58,1),(82,1),(89,1)}
        33:{1,4,6}:{(19,1),(20,1),(50,1)}
        34:{3,4,5,7}:{(20,1),(25,1),(50,1),(51,1),(52,1),(82,1),(85,1)}
        35:{1,2,4,5,6}:{(21,1),(24,1),(28,1),(48,1),(53,1),(54,1),(64,1),(83,1),(86,1),(87,1),(91,1)}
        36:{3,5}:{(21,1),(22,1)}
        37:{1,3,4,6}:{(22,1),(26,1),(55,1),(57,1),(59,1),(86,1),(102,1),(103,1)}
        38:{2,3,4,6}:{(22,1),(27,1),(56,1),(57,1),(60,1),(87,1),(102,1),(103,1)}
        39:{1,2,4,6,7}:{(23,1),(24,1),(29,1),(49,1),(53,1),(58,1),(65,1),(84,1),(93,1),(101,1)}
        40:{3,6}:{(24,1),(25,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(31,1),(55,1),(59,1),(61,1)}
        42:{2,3,5,7}:{(25,1),(27,1),(51,1),(56,1),(60,1),(61,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(57,1),(61,1),(62,1)}
        44:{2,4,5,7}:{(28,1),(29,1),(63,1)}
        45:{3,5,6}:{(28,1),(30,1),(63,1),(64,1)}
        46:{3,4,6,7}:{(29,1),(30,1),(58,1),(63,1),(65,1),(85,1)}
        47:{1,4,6}:{(30,1),(31,1),(59,1),(64,1)}
        48:{1,4,5,6}:{(33,1),(66,1),(67,1)}
        49:{1,4,6,7}:{(32,1),(33,1),(66,1),(68,1),(95,1)}
        50:{3,4,6}:{(33,1),(34,1),(40,1),(67,1),(69,1)}
        51:{2,4,5,7}:{(34,1),(42,1),(69,1),(72,1),(94,1),(96,1)}
        52:{3,4,5}:{(36,1),(70,1),(71,1),(72,1),(98,1)}
        53:{1,2,4,5,7}:{(35,1),(39,1),(44,1),(66,1),(73,1),(81,1),(94,1),(95,1),(96,1),(99,1)}
        54:{3,5,6}:{(35,1),(36,1),(40,1),(70,1),(73,1)}
        55:{1,3,5}:{(36,1),(37,1),(71,1),(76,1),(98,1)}
        56:{2,3,5}:{(36,1),(38,1),(72,1),(76,1),(98,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(43,1),(76,1),(77,1),(80,1),(100,1)}
        58:{3,6,7}:{(39,1),(40,1),(73,1),(104,1)}
        59:{1,3,6}:{(40,1),(41,1),(47,1),(80,1)}
        60:{2,3,6}:{(40,1),(42,1),(69,1),(80,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(43,1),(76,1),(80,1)}
        62:{1,2,3,7}:{(43,1),(77,1),(104,1)}
        63:{3,5,7}:{(44,1),(45,1),(46,1),(81,1)}
        64:{1,5,6}:{(45,1),(47,1),(81,1)}
        65:{1,4,6,7}:{(46,1),(47,1),(78,1),(81,1),(95,1)}
        66:{1,4,5,7}:{(48,1),(49,1),(82,1)}
        67:{3,5,6}:{(48,1),(50,1),(82,1),(83,1)}
        68:{3,4,6,7}:{(49,1),(50,1),(58,1),(82,1),(84,1),(85,1)}
        69:{2,4,6}:{(50,1),(51,1),(60,1),(83,1)}
        70:{3,4,6}:{(52,1),(54,1),(85,1),(86,1),(87,1),(102,1)}
        71:{1,4,5}:{(52,1),(55,1),(86,1)}
        72:{2,4,5}:{(52,1),(56,1),(87,1)}
        73:{3,5,7}:{(53,1),(54,1),(58,1),(85,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(59,1),(64,1),(86,1),(89,1),(91,1),(102,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(60,1),(83,1),(87,1),(90,1),(91,1),(102,1)}
        76:{1,2,5}:{(55,1),(56,1),(57,1)}
        77:{1,2,3,6}:{(57,1),(62,1),(92,1),(102,1)}
        78:{1,3,6,7}:{(58,1),(59,1),(65,1),(89,1),(93,1)}
        79:{2,3,6,7}:{(58,1),(60,1),(84,1),(90,1),(93,1)}
        80:{1,2,6}:{(59,1),(60,1),(61,1)}
        81:{1,5,7}:{(63,1),(64,1),(65,1)}
        82:{3,5,7}:{(66,1),(67,1),(68,1),(94,1)}
        83:{2,5,6}:{(67,1),(69,1),(94,1)}
        84:{2,4,6,7}:{(68,1),(69,1),(79,1),(94,1),(96,1)}
        85:{3,4,7}:{(70,1),(73,1),(95,1),(96,1),(104,1)}
        86:{1,4,6}:{(70,1),(71,1),(74,1),(95,1)}
        87:{2,4,6}:{(70,1),(72,1),(75,1),(96,1)}
        88:{1,2,4,5}:{(71,1),(72,1),(76,1),(97,1),(98,1),(100,1)}
        89:{1,3,5,7}:{(73,1),(74,1),(78,1),(81,1),(95,1),(99,1),(104,1)}
        90:{2,3,5,7}:{(73,1),(75,1),(79,1),(94,1),(96,1),(99,1),(104,1)}
        91:{1,2,5,6}:{(74,1),(75,1),(76,1),(80,1),(97,1),(99,1)}
        92:{1,2,3,5}:{(76,1),(77,1),(98,1),(100,1)}
        93:{1,2,6,7}:{(78,1),(79,1),(80,1),(99,1)}
        94:{2,5,7}:{(82,1),(83,1),(84,1)}
        95:{1,4,7}:{(85,1),(86,1),(89,1)}
        96:{2,4,7}:{(85,1),(87,1),(90,1)}
        97:{1,2,4,6}:{(86,1),(87,1),(88,1),(91,1),(101,1),(102,1)}
        98:{3,5}:{(88,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(89,1),(90,1),(91,1),(93,1),(101,1)}
       100:{1,2,4}:{(92,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1296 :   0:{2,3,4,6,7}:{(1,1),(2,1),(9,1),(27,1),(29,1),(31,1),(56,1),(59,1),(78,1),(81,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(40,1),(73,1),(94,1),(98,1)}
         2:{2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(75,1),(93,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(9,1),(24,1),(29,1)}
         4:{1,3,6,7}:{(1,1),(10,1),(29,1),(109,1),(113,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(108,1)}
         6:{2,4,5,7}:{(2,1),(9,1),(12,1),(81,1),(84,1)}
         7:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(35,1),(39,1),(64,1),(125,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(37,1),(75,1)}
         9:{2,4,6}:{(3,1),(6,1),(18,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(121,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(46,1),(47,1),(75,1),(98,1),(99,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(65,1)}
        13:{2,4,5,6}:{(9,1),(22,1),(24,1)}
        14:{1,2,5,6,7}:{(7,1),(8,1),(25,1),(26,1),(49,1),(82,1),(88,1),(115,1)}
        15:{2,4,6,7}:{(7,1),(9,1),(22,1),(27,1),(81,1),(132,1)}
        16:{1,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(59,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(24,1),(29,1),(30,1)}
        19:{1,4,7}:{(10,1),(28,1),(31,1),(129,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(113,1),(114,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(32,1),(49,1),(80,1),(83,1)}
        22:{2,4,5,7}:{(13,1),(15,1),(35,1),(136,1)}
        23:{1,2,4,5,6}:{(13,1),(17,1),(34,1),(36,1),(37,1),(41,1),(66,1),(67,1),(68,1),(69,1),(75,1),(99,1),(102,1),(122,1),(136,1),(139,1)}
        24:{3,5,6}:{(13,1),(18,1),(35,1),(37,1)}
        25:{1,3,5,6,7}:{(14,1),(16,1),(38,1),(39,1),(63,1),(70,1),(101,1)}
        26:{1,2,4,6,7}:{(14,1),(15,1),(17,1),(34,1),(38,1),(39,1),(40,1),(72,1),(73,1),(98,1),(122,1)}
        27:{3,4,6,7}:{(15,1),(18,1),(35,1),(39,1),(40,1),(62,1),(135,1)}
        28:{1,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{1,4,6}:{(18,1),(21,1),(37,1),(43,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(46,1),(124,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(47,1),(74,1)}
        33:{2,3,5,7}:{(20,1),(44,1),(46,1),(47,1),(75,1),(77,1),(105,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(26,1),(48,1),(49,1),(53,1),(80,1),(81,1),(82,1),(88,1)}
        35:{3,5,7}:{(22,1),(24,1),(27,1),(49,1),(138,1)}
        36:{3,5,6}:{(23,1),(29,1),(48,1),(50,1),(57,1),(114,1),(130,1),(138,1)}
        37:{1,5,6}:{(24,1),(30,1),(49,1)}
        38:{1,4,6,7}:{(25,1),(28,1),(53,1),(54,1),(80,1),(110,1)}
        39:{3,6,7}:{(26,1),(29,1),(48,1),(113,1),(130,1)}
        40:{1,4,6,7}:{(27,1),(30,1),(49,1),(55,1),(80,1),(137,1)}
        41:{1,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(59,1)}
        43:{1,3,6}:{(29,1),(30,1),(32,1),(60,1)}
        44:{2,3,6}:{(29,1),(33,1),(59,1),(60,1)}
        45:{1,3,4,7}:{(31,1),(32,1),(58,1),(61,1),(80,1),(113,1)}
        46:{2,4,7}:{(31,1),(33,1),(59,1),(117,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(36,1),(39,1),(62,1)}
        49:{1,5,7}:{(35,1),(37,1),(40,1),(139,1)}
        50:{3,4,6}:{(36,1),(62,1),(65,1),(66,1),(67,1),(100,1),(124,1)}
        51:{1,3,5,6}:{(36,1),(37,1),(43,1),(63,1),(66,1),(68,1),(74,1),(100,1),(121,1),(133,1),(139,1)}
        52:{2,3,5,6}:{(36,1),(44,1),(64,1),(67,1),(68,1),(75,1),(93,1),(100,1),(102,1),(105,1),(118,1)}
        53:{1,4,5,7}:{(38,1),(41,1),(69,1),(70,1)}
        54:{3,4,6,7}:{(38,1),(39,1),(42,1),(62,1),(70,1),(72,1),(95,1)}
        55:{1,3,6,7}:{(39,1),(40,1),(43,1),(63,1),(73,1),(133,1)}
        56:{2,3,6,7}:{(39,1),(44,1),(64,1),(72,1),(73,1),(118,1)}
        57:{3,5}:{(41,1),(42,1),(75,1)}
        58:{1,3,4,6}:{(42,1),(43,1),(45,1),(66,1),(74,1),(76,1),(100,1),(124,1)}
        59:{2,4,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(50,1),(80,1),(81,1),(113,1)}
        63:{1,3,5,7}:{(48,1),(49,1),(51,1),(55,1),(80,1),(82,1),(113,1)}
        64:{2,3,5,7}:{(48,1),(52,1),(56,1),(81,1),(82,1),(88,1),(113,1)}
        65:{3,4,5}:{(50,1),(57,1),(83,1),(84,1),(114,1),(138,1)}
        66:{1,4,6}:{(50,1),(51,1),(80,1),(83,1),(129,1)}
        67:{2,4,6}:{(50,1),(52,1),(81,1),(84,1),(117,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(60,1),(82,1),(85,1),(90,1),(108,1),(127,1)}
        69:{1,4,5,6}:{(53,1),(86,1),(110,1)}
        70:{3,5,7}:{(53,1),(54,1),(57,1),(86,1),(88,1)}
        71:{1,3,4,6,7}:{(54,1),(55,1),(58,1),(80,1),(87,1),(89,1),(110,1),(113,1),(130,1),(131,1),(137,1)}
        72:{2,4,6,7}:{(54,1),(56,1),(59,1),(81,1),(88,1),(111,1)}
        73:{1,2,6,7}:{(55,1),(56,1),(60,1),(82,1),(127,1)}
        74:{1,3,5}:{(57,1),(58,1),(83,1),(90,1),(114,1)}
        75:{2,5}:{(57,1),(59,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{2,3,7}:{(61,1),(91,1),(113,1)}
        78:{2,3,4,6}:{(67,1),(92,1),(93,1),(94,1),(100,1),(118,1),(124,1),(135,1)}
        79:{3,4,5,7}:{(62,1),(65,1),(70,1),(95,1),(96,1),(97,1),(123,1)}
        80:{1,4,7}:{(62,1),(63,1),(66,1)}
        81:{2,4,7}:{(62,1),(64,1),(67,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(68,1),(73,1),(98,1)}
        83:{1,4,5}:{(65,1),(66,1),(74,1),(139,1)}
        84:{2,4,5}:{(65,1),(67,1),(75,1),(93,1)}
        85:{1,2,4,6}:{(66,1),(67,1),(68,1),(98,1),(99,1),(100,1)}
        86:{3,5,6}:{(69,1),(70,1),(95,1),(102,1)}
        87:{1,3,5,7}:{(70,1),(71,1),(74,1),(96,1),(101,1),(103,1),(123,1),(139,1)}
        88:{2,5,7}:{(70,1),(72,1),(75,1),(102,1)}
        89:{1,2,4,6,7}:{(71,1),(72,1),(73,1),(76,1),(98,1),(103,1),(104,1),(122,1),(126,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{2,3,6}:{(76,1),(77,1),(100,1),(105,1)}
        92:{2,3,4,7}:{(78,1),(81,1),(106,1),(107,1),(113,1),(131,1)}
        93:{2,3,5}:{(78,1),(84,1),(108,1),(114,1),(138,1)}
        94:{1,2,4,6}:{(78,1),(107,1),(108,1),(109,1),(127,1),(129,1),(137,1)}
        95:{3,4,6}:{(79,1),(86,1),(110,1),(111,1),(130,1)}
        96:{1,4,5,7}:{(79,1),(80,1),(83,1),(87,1),(110,1)}
        97:{2,4,5,7}:{(79,1),(81,1),(84,1),(88,1),(106,1),(111,1)}
        98:{1,2,4,7}:{(80,1),(81,1),(82,1),(85,1),(113,1)}
        99:{1,2,4,5}:{(83,1),(84,1),(85,1),(90,1),(108,1),(114,1),(117,1),(129,1)}
       100:{3,6}:{(85,1),(113,1),(114,1)}
       101:{1,3,5,6}:{(86,1),(87,1),(110,1),(115,1),(130,1)}
       102:{2,5,6}:{(86,1),(88,1),(111,1)}
       103:{1,2,5,7}:{(87,1),(88,1),(89,1),(90,1),(115,1),(116,1)}
       104:{2,3,6,7}:{(89,1),(91,1),(113,1),(116,1),(130,1)}
       105:{2,3,5}:{(90,1),(91,1),(114,1),(117,1)}
       106:{2,3,5,7}:{(92,1),(93,1),(97,1),(118,1),(119,1),(123,1)}
       107:{1,2,4,7}:{(92,1),(94,1),(119,1),(120,1),(134,1)}
       108:{1,2,5}:{(93,1),(94,1),(121,1),(139,1)}
       109:{1,3,6}:{(94,1),(100,1),(120,1),(121,1)}
       110:{1,4,6}:{(95,1),(96,1),(101,1)}
       111:{2,4,6}:{(95,1),(97,1),(102,1),(118,1)}
       112:{1,2,4,5,7}:{(96,1),(97,1),(98,1),(99,1),(103,1),(119,1),(122,1),(123,1),(126,1),(134,1),(136,1),(139,1)}
       113:{3,7}:{(98,1),(100,1)}
       114:{3,5}:{(99,1),(100,1),(124,1)}
       115:{1,2,5,6}:{(101,1),(102,1),(103,1),(122,1),(125,1),(139,1)}
       116:{2,3,5,7}:{(103,1),(104,1),(105,1),(123,1),(125,1),(126,1)}
       117:{2,4}:{(105,1),(124,1)}
       118:{2,3,6}:{(106,1),(111,1),(127,1),(130,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(108,1),(127,1),(128,1)}
       120:{1,3,7}:{(107,1),(109,1),(113,1)}
       121:{1,3,5}:{(108,1),(109,1),(114,1),(129,1)}
       122:{1,2,4,6}:{(110,1),(111,1),(112,1),(115,1),(127,1),(130,1),(132,1),(137,1)}
       123:{3,5,7}:{(112,1),(113,1),(114,1),(130,1),(131,1),(138,1)}
       124:{3,4}:{(114,1),(117,1),(129,1)}
       125:{2,3,5,6}:{(115,1),(116,1),(130,1),(132,1),(138,1)}
       126:{2,4,7}:{(116,1),(117,1),(131,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{1,3,5,7}:{(119,1),(120,1),(121,1),(123,1),(133,1),(134,1),(139,1)}
       129:{1,4}:{(121,1),(124,1)}
       130:{3,6}:{(122,1),(123,1)}
       131:{3,4,7}:{(123,1),(124,1),(126,1),(134,1),(135,1)}
       132:{2,4,6}:{(125,1),(126,1),(135,1),(136,1)}
       133:{1,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{1,4,7}:{(128,1),(129,1),(131,1),(137,1)}
       135:{3,4,6}:{(130,1),(131,1),(132,1),(137,1),(138,1)}
       136:{2,4,5}:{(132,1),(138,1)}
       137:{1,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

1297 :   0:{1,2,3,6}:{(3,1),(5,1),(6,1),(81,1),(88,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(31,1),(36,1),(45,1),(86,1),(88,1)}
         2:{2,4,5,6}:{(9,1),(10,1),(36,1),(92,1),(96,1)}
         3:{1,2,3,5}:{(0,1),(11,1),(14,1),(21,1),(53,1),(58,1)}
         4:{3,4,5}:{(15,1),(16,1),(18,1),(58,1)}
         5:{1,2,3,7}:{(0,1),(20,1),(112,1),(120,1),(163,1)}
         6:{1,2,4,6}:{(0,1),(1,1),(14,1),(19,1),(20,1),(21,1),(71,1)}
         7:{2,3,4,7}:{(1,1),(20,1),(22,1),(57,1),(63,1),(120,1),(164,1)}
         8:{2,3,5}:{(1,1),(15,1),(21,1),(58,1),(118,1)}
         9:{3,5,6}:{(2,1),(18,1),(24,1),(25,1)}
        10:{2,4,5,7}:{(2,1),(25,1),(26,1),(63,1),(123,1),(126,1)}
        11:{1,2,3}:{(28,1)}
        12:{1,3,4}:{(28,1),(30,1),(31,1)}
        13:{1,2,3,5,7}:{(3,1),(5,1),(27,1),(32,1),(33,1),(43,1),(78,1),(80,1),(87,1),(89,1)}
        14:{1,2,4}:{(3,1),(31,1)}
        15:{2,4,5}:{(4,1),(8,1),(36,1),(147,1)}
        16:{1,4,5}:{(4,1),(30,1),(38,1)}
        17:{3,4,5,7}:{(4,1),(35,1),(37,1),(39,1),(40,1),(87,1),(97,1),(141,1),(147,1),(194,1),(198,1)}
        18:{3,4,6}:{(4,1),(9,1),(36,1),(38,1),(40,1),(88,1)}
        19:{1,3,4,6}:{(6,1),(31,1),(41,1),(42,1),(86,1),(88,1),(99,1),(100,1)}
        20:{1,2,4,7}:{(5,1),(6,1),(7,1),(41,1),(43,1),(188,1)}
        21:{1,2,5}:{(6,1),(8,1),(42,1)}
        22:{2,3,5,7}:{(7,1),(8,1),(35,1),(43,1),(45,1),(87,1),(189,1),(220,1)}
        23:{2,3,5,6}:{(8,1),(9,1),(36,1),(44,1),(45,1),(46,1),(88,1),(92,1),(148,1)}
        24:{1,5,6}:{(9,1),(38,1),(47,1)}
        25:{3,5,7}:{(9,1),(10,1),(40,1),(47,1),(48,1)}
        26:{2,4,6,7}:{(10,1),(48,1),(49,1),(104,1)}
        27:{1,2,3,7}:{(11,1),(51,1),(52,1),(210,1),(227,1)}
        28:{1,2,4}:{(11,1),(12,1),(50,1),(53,1)}
        29:{1,3,4,7}:{(12,1),(52,1),(54,1),(55,1),(57,1),(171,1),(210,1)}
        30:{1,3,5}:{(12,1),(16,1),(53,1),(56,1),(58,1)}
        31:{3,4}:{(14,1),(58,1)}
        32:{1,2,3,6}:{(13,1),(59,1),(71,1),(111,1),(119,1)}
        33:{1,2,4,7}:{(13,1),(14,1),(57,1),(59,1),(109,1)}
        34:{1,2,4,5}:{(14,1),(15,1),(16,1),(21,1),(53,1),(58,1),(61,1),(68,1),(105,1)}
        35:{2,4,5,7}:{(15,1),(17,1),(22,1),(62,1),(63,1),(123,1),(169,1),(211,1)}
        36:{2,4,6}:{(15,1),(18,1),(23,1),(63,1),(175,1)}
        37:{1,4,5,7}:{(16,1),(17,1),(55,1),(64,1),(65,1),(113,1),(125,1),(171,1)}
        38:{1,4,6}:{(16,1),(18,1),(24,1),(56,1),(65,1)}
        39:{3,4,6}:{(17,1),(62,1),(64,1),(66,1),(119,1),(175,1)}
        40:{3,4,7}:{(18,1),(25,1),(63,1),(65,1),(120,1)}
        41:{1,3,4,7}:{(19,1),(20,1),(57,1),(69,1),(120,1),(129,1),(165,1)}
        42:{1,3,5}:{(19,1),(21,1),(58,1),(68,1),(118,1)}
        43:{1,2,5,7}:{(20,1),(21,1),(22,1),(69,1),(71,1),(207,1),(227,1)}
        44:{1,2,5,6}:{(21,1),(23,1),(24,1),(61,1),(70,1),(71,1),(72,1),(157,1)}
        45:{2,3,6}:{(22,1),(62,1),(71,1),(119,1)}
        46:{2,3,5,7}:{(23,1),(25,1),(63,1),(72,1),(73,1),(120,1),(123,1),(176,1)}
        47:{1,5,7}:{(24,1),(25,1),(65,1),(74,1)}
        48:{3,6,7}:{(25,1),(26,1),(74,1)}
        49:{2,5,6,7}:{(26,1),(75,1),(123,1),(181,1)}
        50:{2,3,4}:{(28,1),(31,1),(77,1)}
        51:{1,2,3,6}:{(27,1),(78,1),(79,1),(191,1),(219,1)}
        52:{1,2,4,7}:{(27,1),(28,1),(29,1),(76,1),(79,1),(80,1)}
        53:{1,2,5}:{(28,1),(30,1),(77,1),(81,1)}
        54:{1,3,4,6}:{(29,1),(79,1),(82,1),(83,1),(86,1),(137,1),(142,1),(191,1)}
        55:{1,3,5,7}:{(29,1),(30,1),(37,1),(80,1),(82,1),(83,1),(84,1),(87,1)}
        56:{1,3,6}:{(30,1),(38,1),(81,1),(84,1),(88,1)}
        57:{3,4,7}:{(31,1),(33,1),(86,1),(87,1),(137,1),(198,1)}
        58:{3,5}:{(31,1),(34,1),(88,1)}
        59:{1,2,4,6}:{(32,1),(33,1),(86,1),(89,1)}
        60:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(37,1),(43,1),(80,1),(87,1),(89,1),(90,1),(91,1),(98,1),(132,1),(138,1),(147,1),(150,1),(192,1),(198,1)}
        61:{1,2,4,6}:{(34,1),(36,1),(38,1),(44,1),(81,1),(88,1),(91,1),(99,1),(133,1)}
        62:{2,4,6}:{(35,1),(39,1),(45,1),(92,1)}
        63:{2,4,7}:{(36,1),(40,1),(46,1),(198,1)}
        64:{1,4,6}:{(37,1),(39,1),(83,1),(94,1)}
        65:{1,4,7}:{(38,1),(40,1),(47,1),(84,1)}
        66:{3,5,6}:{(39,1),(92,1),(94,1),(96,1),(97,1)}
        67:{3,4,6,7}:{(39,1),(40,1),(48,1),(93,1),(95,1),(97,1),(104,1),(149,1),(156,1),(194,1),(198,1)}
        68:{1,4,5}:{(42,1),(85,1),(99,1),(147,1)}
        69:{1,3,5,7}:{(41,1),(42,1),(43,1),(87,1),(98,1),(100,1),(190,1),(221,1)}
        70:{1,3,5,6}:{(42,1),(44,1),(88,1),(99,1),(100,1),(101,1),(144,1),(148,1),(154,1)}
        71:{1,2,6}:{(43,1),(45,1),(100,1)}
        72:{1,2,5,7}:{(44,1),(46,1),(47,1),(91,1),(101,1),(102,1),(182,1)}
        73:{2,3,6,7}:{(45,1),(46,1),(48,1),(93,1),(102,1),(149,1),(220,1)}
        74:{1,6,7}:{(47,1),(48,1)}
        75:{3,5,6,7}:{(48,1),(49,1),(97,1),(103,1),(104,1),(156,1)}
        76:{2,3,4,7}:{(50,1),(52,1),(57,1),(106,1),(107,1),(206,1),(210,1)}
        77:{2,3,5}:{(50,1),(53,1),(58,1),(105,1),(108,1)}
        78:{1,2,3,5}:{(51,1),(109,1),(110,1),(163,1),(166,1),(207,1)}
        79:{1,2,4,6}:{(51,1),(52,1),(54,1),(106,1),(109,1),(110,1),(111,1)}
        80:{1,2,5,7}:{(52,1),(53,1),(55,1),(107,1),(110,1),(111,1),(112,1)}
        81:{1,2,6}:{(53,1),(56,1),(108,1),(112,1)}
        82:{1,3,5}:{(54,1),(110,1),(113,1),(118,1),(166,1)}
        83:{1,3,6}:{(55,1),(64,1),(111,1),(119,1)}
        84:{1,3,7}:{(56,1),(65,1),(112,1),(120,1)}
        85:{3,4,5}:{(58,1),(68,1),(105,1),(117,1)}
        86:{3,4,6}:{(57,1),(59,1),(118,1),(119,1),(175,1)}
        87:{3,5,7}:{(57,1),(58,1),(60,1),(118,1),(119,1),(120,1),(166,1),(210,1)}
        88:{3,6}:{(58,1),(61,1),(120,1)}
        89:{1,2,5}:{(59,1),(118,1)}
        90:{1,2,4,6}:{(60,1),(62,1),(64,1),(71,1),(111,1),(119,1),(121,1),(128,1),(158,1),(175,1)}
        91:{1,2,4,7}:{(61,1),(63,1),(65,1),(72,1),(112,1),(120,1),(129,1),(159,1)}
        92:{2,5,6}:{(62,1),(66,1),(123,1)}
        93:{2,4,6,7}:{(62,1),(63,1),(67,1),(73,1),(123,1),(181,1),(211,1)}
        94:{1,5,6}:{(64,1),(66,1),(125,1)}
        95:{1,4,6,7}:{(64,1),(65,1),(67,1),(74,1),(115,1),(125,1),(171,1)}
        96:{4,5,6}:{(66,1),(126,1),(175,1)}
        97:{3,5,7}:{(66,1),(67,1),(123,1),(125,1),(126,1)}
        98:{1,4,5,7}:{(68,1),(69,1),(116,1),(128,1),(129,1),(180,1),(204,1),(226,1)}
        99:{1,4,6}:{(68,1),(70,1),(117,1),(129,1),(175,1)}
       100:{1,3,6}:{(69,1),(71,1),(119,1),(128,1)}
       101:{1,3,5,7}:{(70,1),(72,1),(120,1),(129,1),(130,1),(172,1),(176,1),(180,1)}
       102:{1,2,6,7}:{(71,1),(72,1),(73,1),(74,1),(130,1),(201,1),(227,1)}
       103:{1,5,6,7}:{(74,1),(75,1),(125,1),(131,1)}
       104:{4,6,7}:{(75,1),(126,1)}
       105:{2,4,5}:{(77,1),(85,1),(133,1)}
       106:{2,3,4,6}:{(76,1),(79,1),(86,1),(134,1),(135,1),(137,1),(186,1),(191,1)}
       107:{2,3,5,7}:{(76,1),(77,1),(80,1),(87,1),(132,1),(134,1),(135,1),(136,1)}
       108:{2,3,6}:{(77,1),(81,1),(88,1),(133,1),(136,1)}
       109:{1,2,4}:{(78,1),(137,1)}
       110:{1,2,5}:{(79,1),(82,1),(134,1)}
       111:{1,2,6}:{(80,1),(83,1),(135,1)}
       112:{1,2,7}:{(81,1),(84,1),(136,1)}
       113:{1,4,5}:{(82,1),(141,1),(142,1),(147,1)}
       114:{1,3,5,6}:{(82,1),(83,1),(94,1),(139,1),(142,1),(143,1),(148,1),(151,1),(191,1)}
       115:{1,3,6,7}:{(83,1),(84,1),(95,1),(140,1),(143,1),(149,1),(156,1)}
       116:{3,4,5,7}:{(85,1),(87,1),(98,1),(132,1),(145,1),(146,1),(147,1),(185,1),(197,1),(198,1),(218,1)}
       117:{3,4,6}:{(85,1),(88,1),(99,1),(133,1),(144,1),(146,1)}
       118:{3,5}:{(86,1),(89,1),(147,1)}
       119:{3,6}:{(87,1),(90,1)}
       120:{3,7}:{(88,1),(91,1)}
       121:{1,2,5,6}:{(89,1),(90,1),(92,1),(94,1),(148,1),(150,1),(154,1),(183,1)}
       122:{1,2,4,6,7}:{(90,1),(91,1),(93,1),(95,1),(102,1),(140,1),(149,1),(150,1),(155,1),(184,1),(192,1),(198,1)}
       123:{2,5,7}:{(92,1),(93,1),(97,1)}
       124:{1,4,5,6}:{(94,1),(96,1),(142,1),(151,1),(152,1)}
       125:{1,5,7}:{(94,1),(95,1),(97,1)}
       126:{4,5,7}:{(96,1),(97,1),(104,1),(198,1)}
       127:{1,4,5,6}:{(99,1),(144,1),(153,1),(154,1),(196,1)}
       128:{1,4,6}:{(98,1),(100,1),(145,1),(154,1)}
       129:{1,4,7}:{(99,1),(101,1),(146,1),(198,1)}
       130:{1,3,6,7}:{(100,1),(101,1),(102,1),(149,1),(155,1),(195,1),(221,1)}
       131:{1,4,6,7}:{(103,1),(104,1),(152,1),(156,1)}
       132:{2,4,5,7}:{(105,1),(107,1),(116,1),(158,1),(159,1),(160,1),(203,1),(206,1)}
       133:{2,4,6}:{(105,1),(108,1),(117,1),(157,1),(159,1)}
       134:{2,3,5}:{(106,1),(110,1),(118,1),(160,1),(166,1)}
       135:{2,3,6}:{(107,1),(111,1),(119,1),(158,1)}
       136:{2,3,7}:{(108,1),(112,1),(120,1),(159,1)}
       137:{3,4}:{(109,1),(166,1)}
       138:{1,2,4,5}:{(109,1),(110,1),(113,1),(160,1),(166,1),(167,1),(169,1),(204,1),(207,1)}
       139:{1,2,5,6}:{(110,1),(111,1),(114,1),(161,1),(167,1),(168,1),(177,1),(224,1)}
       140:{1,2,6,7}:{(111,1),(112,1),(115,1),(162,1),(168,1),(181,1),(230,1)}
       141:{3,4,5}:{(113,1),(166,1),(169,1),(170,1)}
       142:{1,4,6}:{(113,1),(114,1),(170,1),(171,1),(175,1)}
       143:{1,3,5,7}:{(114,1),(115,1),(125,1),(168,1),(171,1),(176,1),(178,1),(210,1)}
       144:{3,5,6}:{(117,1),(127,1),(157,1),(172,1)}
       145:{3,4,6}:{(116,1),(119,1),(128,1),(158,1),(173,1),(175,1)}
       146:{3,4,7}:{(117,1),(120,1),(129,1),(159,1),(172,1)}
       147:{4,5}:{(118,1),(175,1)}
       148:{3,5,6}:{(118,1),(119,1),(121,1),(175,1),(176,1)}
       149:{3,6,7}:{(119,1),(120,1),(122,1),(176,1),(210,1)}
       150:{1,2,5,7}:{(121,1),(122,1),(123,1),(125,1),(176,1),(180,1),(203,1)}
       151:{3,5,6}:{(124,1),(170,1),(177,1),(178,1)}
       152:{1,4,5,7}:{(124,1),(125,1),(126,1),(131,1),(171,1),(178,1)}
       153:{1,4,5,7}:{(127,1),(129,1),(172,1),(179,1),(180,1),(213,1)}
       154:{1,5,6}:{(128,1),(173,1),(180,1)}
       155:{1,4,6,7}:{(128,1),(129,1),(130,1),(174,1),(180,1),(226,1),(230,1)}
       156:{3,6,7}:{(131,1),(178,1),(181,1)}
       157:{2,5,6}:{(133,1),(144,1),(182,1)}
       158:{2,4,6}:{(132,1),(135,1),(145,1),(183,1)}
       159:{2,4,7}:{(133,1),(136,1),(146,1),(182,1)}
       160:{2,4,5}:{(134,1),(147,1),(185,1),(186,1)}
       161:{2,3,5,6}:{(134,1),(135,1),(139,1),(148,1),(183,1),(186,1),(187,1),(191,1),(215,1)}
       162:{2,3,6,7}:{(135,1),(136,1),(140,1),(149,1),(184,1),(187,1),(228,1)}
       163:{1,2,3}:{(188,1)}
       164:{2,3,4}:{(137,1),(188,1),(189,1)}
       165:{1,3,4}:{(137,1),(188,1),(190,1)}
       166:{3,5}:{(137,1),(138,1),(191,1)}
       167:{1,2,4,6}:{(138,1),(139,1),(142,1),(186,1),(191,1),(192,1),(193,1),(217,1),(219,1)}
       168:{1,2,5,7}:{(139,1),(140,1),(143,1),(187,1),(192,1),(199,1),(229,1)}
       169:{2,4,5}:{(141,1),(189,1),(193,1)}
       170:{3,4,6}:{(141,1),(142,1),(151,1),(191,1),(193,1),(194,1)}
       171:{1,4,7}:{(142,1),(143,1),(194,1),(198,1)}
       172:{3,5,7}:{(144,1),(146,1),(153,1),(182,1),(195,1)}
       173:{3,5,6}:{(145,1),(154,1),(183,1),(196,1),(197,1)}
       174:{3,4,6,7}:{(145,1),(146,1),(149,1),(155,1),(184,1),(195,1),(197,1),(198,1),(218,1),(222,1),(228,1)}
       175:{4,6}:{(147,1),(148,1),(198,1)}
       176:{3,5,7}:{(148,1),(149,1),(150,1),(198,1)}
       177:{2,5,6}:{(151,1),(193,1),(199,1)}
       178:{3,5,7}:{(151,1),(152,1),(156,1),(194,1),(199,1)}
       179:{1,4,6,7}:{(153,1),(195,1),(200,1),(222,1)}
       180:{1,5,7}:{(154,1),(155,1),(197,1)}
       181:{2,6,7}:{(156,1),(199,1)}
       182:{2,5,7}:{(157,1),(159,1),(172,1),(201,1)}
       183:{2,5,6}:{(158,1),(173,1),(203,1)}
       184:{2,4,6,7}:{(158,1),(159,1),(162,1),(174,1),(201,1),(203,1),(206,1)}
       185:{3,4,5}:{(160,1),(166,1),(204,1),(205,1)}
       186:{2,4,6}:{(160,1),(161,1),(175,1),(205,1),(206,1)}
       187:{2,3,5,7}:{(161,1),(162,1),(168,1),(176,1),(203,1),(206,1),(210,1),(225,1)}
       188:{1,2,4}:{(163,1),(164,1),(165,1),(207,1)}
       189:{2,3,5}:{(164,1),(166,1),(169,1),(207,1),(208,1)}
       190:{1,3,5}:{(165,1),(166,1),(204,1),(207,1),(209,1)}
       191:{3,6}:{(166,1),(167,1),(210,1)}
       192:{1,2,4,7}:{(167,1),(168,1),(171,1),(206,1),(210,1),(211,1),(226,1),(227,1)}
       193:{2,4,6}:{(169,1),(170,1),(177,1),(208,1),(211,1)}
       194:{3,4,7}:{(170,1),(171,1),(178,1),(210,1),(211,1)}
       195:{3,6,7}:{(172,1),(179,1),(201,1)}
       196:{4,5,6}:{(173,1),(175,1),(213,1)}
       197:{3,5,7}:{(173,1),(174,1),(180,1),(203,1),(213,1)}
       198:{4,7}:{(175,1),(176,1)}
       199:{2,5,7}:{(177,1),(178,1),(181,1),(211,1)}
       200:{1,5,6,7}:{(179,1),(180,1),(212,1),(230,1)}
       201:{2,6,7}:{(182,1),(195,1)}
       202:{2,4,5,6}:{(183,1),(186,1),(196,1),(215,1),(216,1)}
       203:{2,5,7}:{(183,1),(184,1),(197,1)}
       204:{1,4,5}:{(185,1),(190,1),(217,1)}
       205:{3,4,6}:{(185,1),(186,1),(191,1),(215,1),(217,1),(218,1)}
       206:{2,4,7}:{(186,1),(187,1),(198,1),(218,1)}
       207:{1,2,5}:{(188,1),(189,1),(190,1),(219,1)}
       208:{2,3,6}:{(189,1),(191,1),(193,1),(219,1),(220,1)}
       209:{1,3,6}:{(190,1),(191,1),(217,1),(219,1),(221,1)}
       210:{3,7}:{(191,1),(192,1)}
       211:{2,4,7}:{(193,1),(194,1),(199,1),(220,1)}
       212:{3,5,6,7}:{(195,1),(197,1),(200,1),(214,1),(222,1),(228,1)}
       213:{4,5,7}:{(196,1),(197,1),(198,1),(222,1)}
       214:{2,5,6,7}:{(201,1),(203,1),(212,1),(223,1)}
       215:{3,5,6}:{(202,1),(205,1),(224,1),(225,1)}
       216:{2,4,5,7}:{(202,1),(203,1),(206,1),(213,1),(223,1),(225,1)}
       217:{1,4,6}:{(204,1),(205,1),(209,1),(224,1),(226,1)}
       218:{3,4,7}:{(205,1),(206,1),(210,1),(225,1),(226,1)}
       219:{1,2,6}:{(207,1),(208,1),(209,1),(227,1)}
       220:{2,3,7}:{(208,1),(210,1),(211,1),(227,1)}
       221:{1,3,7}:{(209,1),(210,1),(226,1),(227,1)}
       222:{4,6,7}:{(212,1),(213,1)}
       223:{2,4,6,7}:{(214,1),(216,1),(222,1),(228,1)}
       224:{1,5,6}:{(215,1),(217,1),(229,1)}
       225:{3,5,7}:{(215,1),(216,1),(218,1),(228,1),(229,1)}
       226:{1,4,7}:{(217,1),(218,1),(221,1),(229,1)}
       227:{1,2,7}:{(219,1),(220,1),(221,1)}
       228:{3,6,7}:{(223,1),(225,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(226,1),(230,1)}
       230:{1,6,7}:{(228,1),(229,1)}

1298 :   0:{2,4,5,6}:{(5,1),(6,1),(27,1),(34,1),(83,1)}
         1:{2,3,4,6}:{(4,1),(7,1),(8,1),(34,1),(37,1),(89,1),(90,1),(138,1),(142,1)}
         2:{3,4,5}:{(12,1),(13,1),(14,1),(61,1)}
         3:{2,5,6,7}:{(10,1),(15,1),(106,1),(113,1)}
         4:{2,3,4,7}:{(1,1),(16,1),(17,1),(59,1),(96,1),(117,1),(118,1),(160,1)}
         5:{2,4,5,7}:{(0,1),(15,1),(18,1),(52,1),(59,1),(113,1)}
         6:{3,5,6}:{(0,1),(12,1),(18,1),(19,1)}
         7:{2,3,5}:{(1,1),(14,1),(21,1),(61,1),(161,1),(165,1)}
         8:{1,2,4,6}:{(1,1),(17,1),(21,1),(22,1),(64,1),(68,1),(121,1)}
         9:{1,3,4}:{(25,1),(26,1),(90,1)}
        10:{3,5,6,7}:{(3,1),(23,1),(28,1),(36,1),(74,1),(81,1)}
        11:{3,4,5,7}:{(2,1),(29,1),(30,1),(31,1),(32,1),(69,1),(81,1),(87,1),(126,1),(180,1),(181,1)}
        12:{3,4,6}:{(2,1),(6,1),(32,1),(33,1),(34,1),(89,1)}
        13:{1,4,5}:{(2,1),(25,1),(33,1)}
        14:{2,4,5}:{(2,1),(7,1),(34,1),(181,1)}
        15:{2,4,6,7}:{(3,1),(5,1),(28,1),(36,1)}
        16:{2,3,5,7}:{(4,1),(7,1),(31,1),(37,1),(38,1),(87,1),(124,1),(169,1),(179,1)}
        17:{1,2,4,7}:{(4,1),(8,1),(38,1),(39,1),(93,1),(125,1)}
        18:{3,5,7}:{(5,1),(6,1),(32,1),(36,1),(40,1)}
        19:{1,5,6}:{(6,1),(33,1),(40,1)}
        20:{2,3,5,6}:{(6,1),(7,1),(34,1),(37,1),(41,1),(42,1),(83,1),(89,1),(140,1)}
        21:{1,2,5}:{(7,1),(8,1),(43,1),(146,1)}
        22:{1,3,6}:{(8,1),(39,1),(43,1),(89,1)}
        23:{1,5,6,7}:{(10,1),(46,1),(62,1),(112,1)}
        24:{1,3,4,7}:{(9,1),(45,1),(47,1),(48,1),(117,1),(151,1),(188,1),(203,1)}
        25:{1,3,5}:{(9,1),(13,1),(49,1),(50,1),(61,1)}
        26:{1,2,4}:{(9,1),(50,1),(51,1),(111,1)}
        27:{4,5,6}:{(52,1),(53,1),(163,1)}
        28:{4,6,7}:{(10,1),(52,1)}
        29:{3,4,6}:{(11,1),(53,1),(55,1),(56,1),(116,1),(163,1)}
        30:{1,4,5,7}:{(11,1),(13,1),(47,1),(55,1),(58,1),(98,1),(112,1),(151,1)}
        31:{2,4,5,7}:{(11,1),(14,1),(16,1),(56,1),(59,1),(99,1),(113,1),(152,1)}
        32:{3,4,7}:{(12,1),(18,1),(58,1),(59,1),(118,1)}
        33:{1,4,6}:{(12,1),(13,1),(19,1),(49,1),(58,1)}
        34:{2,4,6}:{(12,1),(14,1),(20,1),(59,1),(163,1)}
        35:{1,2,4,5}:{(13,1),(14,1),(21,1),(50,1),(60,1),(61,1),(68,1),(111,1),(123,1),(161,1)}
        36:{3,6,7}:{(15,1),(18,1),(62,1)}
        37:{2,3,6}:{(16,1),(56,1),(64,1),(116,1),(193,1)}
        38:{1,2,5,7}:{(16,1),(17,1),(21,1),(64,1),(65,1),(149,1),(185,1)}
        39:{1,3,7}:{(17,1),(22,1),(118,1),(150,1)}
        40:{1,5,7}:{(18,1),(19,1),(58,1),(62,1)}
        41:{2,3,5,7}:{(18,1),(20,1),(59,1),(63,1),(66,1),(113,1),(118,1),(162,1)}
        42:{1,2,5,6}:{(19,1),(20,1),(21,1),(60,1),(64,1),(66,1),(67,1),(161,1),(193,1)}
        43:{1,3,5}:{(21,1),(22,1),(61,1),(68,1)}
        44:{1,4,5,6}:{(27,1),(70,1),(71,1),(82,1),(127,1)}
        45:{1,3,4,6}:{(24,1),(72,1),(73,1),(75,1),(127,1),(142,1),(173,1),(174,1),(197,1)}
        46:{1,4,6,7}:{(23,1),(28,1),(70,1),(74,1)}
        47:{1,3,5,7}:{(24,1),(25,1),(30,1),(72,1),(75,1),(76,1),(78,1),(87,1),(207,1)}
        48:{1,2,4,7}:{(24,1),(26,1),(73,1),(76,1),(77,1),(136,1)}
        49:{1,3,6}:{(25,1),(33,1),(78,1),(79,1),(89,1)}
        50:{1,2,5}:{(25,1),(26,1),(79,1),(80,1)}
        51:{2,3}:{(26,1)}
        52:{4,5,7}:{(27,1),(28,1),(81,1),(180,1)}
        53:{3,5,6}:{(27,1),(29,1),(81,1),(82,1),(83,1)}
        54:{3,4,6,7}:{(28,1),(29,1),(32,1),(36,1),(74,1),(81,1),(84,1),(85,1),(126,1),(141,1),(180,1)}
        55:{1,4,6}:{(29,1),(30,1),(75,1),(82,1)}
        56:{2,4,6}:{(29,1),(31,1),(37,1),(83,1)}
        57:{1,2,4,5,7}:{(30,1),(31,1),(35,1),(38,1),(76,1),(86,1),(87,1),(88,1),(93,1),(129,1),(136,1),(139,1),(146,1),(147,1),(172,1),(178,1),(179,1),(180,1),(181,1),(200,1),(207,1)}
        58:{1,4,7}:{(32,1),(33,1),(40,1),(78,1)}
        59:{2,4,7}:{(32,1),(34,1),(41,1),(180,1)}
        60:{1,2,4,6}:{(33,1),(34,1),(35,1),(42,1),(79,1),(88,1),(89,1),(95,1),(138,1)}
        61:{3,5}:{(35,1),(89,1),(90,1)}
        62:{1,6,7}:{(36,1),(40,1)}
        63:{2,3,6,7}:{(36,1),(37,1),(41,1),(85,1),(91,1),(141,1),(169,1)}
        64:{1,2,6}:{(37,1),(38,1),(92,1)}
        65:{1,3,5,7}:{(38,1),(39,1),(43,1),(87,1),(92,1),(93,1),(146,1),(171,1),(196,1),(207,1)}
        66:{1,2,5,7}:{(40,1),(41,1),(42,1),(88,1),(91,1),(94,1),(179,1)}
        67:{1,3,5,6}:{(42,1),(43,1),(89,1),(92,1),(94,1),(95,1),(140,1),(144,1),(146,1),(183,1),(184,1)}
        68:{1,4}:{(43,1),(90,1)}
        69:{3,4,5}:{(97,1),(98,1),(99,1),(154,1)}
        70:{1,4,5,7}:{(44,1),(46,1),(52,1),(100,1),(112,1),(151,1)}
        71:{3,5,6}:{(44,1),(97,1),(100,1),(102,1)}
        72:{1,3,5}:{(45,1),(98,1),(103,1),(154,1),(165,1),(204,1)}
        73:{1,2,4,6}:{(45,1),(48,1),(103,1),(104,1),(107,1),(157,1),(159,1)}
        74:{3,6,7}:{(46,1),(100,1),(106,1)}
        75:{1,3,6}:{(47,1),(55,1),(107,1),(116,1),(209,1)}
        76:{1,2,5,7}:{(47,1),(48,1),(50,1),(103,1),(107,1),(108,1),(109,1)}
        77:{2,3,7}:{(48,1),(51,1),(104,1),(188,1)}
        78:{1,3,7}:{(49,1),(58,1),(109,1),(118,1)}
        79:{1,2,6}:{(49,1),(50,1),(109,1),(110,1)}
        80:{2,3,5}:{(50,1),(51,1),(61,1),(110,1),(111,1),(161,1)}
        81:{3,5,7}:{(52,1),(53,1),(54,1),(112,1),(113,1)}
        82:{1,5,6}:{(53,1),(55,1),(112,1)}
        83:{2,5,6}:{(53,1),(56,1),(113,1)}
        84:{1,4,6,7}:{(54,1),(55,1),(58,1),(62,1),(105,1),(112,1),(151,1)}
        85:{2,4,6,7}:{(54,1),(56,1),(59,1),(63,1),(106,1),(113,1),(152,1)}
        86:{1,2,4,6}:{(55,1),(56,1),(57,1),(64,1),(107,1),(114,1),(116,1),(121,1),(159,1),(163,1),(168,1),(193,1),(206,1),(209,1)}
        87:{3,5,7}:{(57,1),(61,1),(116,1),(117,1),(118,1),(154,1),(165,1),(188,1)}
        88:{1,2,4,7}:{(58,1),(59,1),(60,1),(66,1),(109,1),(118,1),(122,1),(160,1)}
        89:{3,6}:{(60,1),(61,1),(118,1)}
        90:{3,4}:{(61,1),(68,1),(111,1)}
        91:{1,2,6,7}:{(62,1),(63,1),(64,1),(66,1),(120,1),(185,1),(193,1)}
        92:{1,3,6}:{(64,1),(65,1),(116,1),(121,1),(209,1)}
        93:{1,4,7}:{(65,1),(68,1),(117,1),(121,1),(187,1)}
        94:{1,3,5,7}:{(66,1),(67,1),(118,1),(120,1),(122,1),(162,1),(166,1),(167,1)}
        95:{1,4,6}:{(67,1),(68,1),(119,1),(122,1),(123,1),(163,1)}
        96:{2,3,4}:{(124,1),(125,1),(174,1)}
        97:{3,4,6}:{(69,1),(71,1),(126,1),(127,1),(128,1),(173,1)}
        98:{1,4,5}:{(69,1),(72,1),(127,1),(181,1)}
        99:{2,4,5}:{(69,1),(124,1),(128,1)}
       100:{3,5,7}:{(70,1),(71,1),(74,1),(126,1),(131,1)}
       101:{1,3,5,6}:{(71,1),(72,1),(75,1),(82,1),(127,1),(130,1),(132,1),(140,1),(173,1)}
       102:{2,5,6}:{(71,1),(128,1),(131,1)}
       103:{1,2,5}:{(72,1),(73,1),(133,1),(178,1)}
       104:{2,3,6}:{(73,1),(77,1),(133,1),(173,1)}
       105:{1,3,6,7}:{(74,1),(75,1),(78,1),(84,1),(130,1),(134,1),(141,1)}
       106:{2,6,7}:{(74,1),(131,1)}
       107:{1,2,6}:{(75,1),(76,1),(135,1)}
       108:{2,3,5,7}:{(76,1),(77,1),(80,1),(87,1),(133,1),(135,1),(136,1),(137,1),(178,1),(179,1)}
       109:{1,2,7}:{(78,1),(79,1),(137,1)}
       110:{2,3,6}:{(79,1),(80,1),(89,1),(137,1),(138,1)}
       111:{2,4}:{(80,1),(90,1)}
       112:{1,5,7}:{(81,1),(82,1),(84,1)}
       113:{2,5,7}:{(81,1),(83,1),(85,1)}
       114:{1,2,5,6}:{(82,1),(83,1),(86,1),(139,1),(140,1),(146,1),(178,1),(184,1),(201,1)}
       115:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(134,1),(139,1),(141,1),(145,1),(172,1),(177,1),(180,1)}
       116:{3,6}:{(86,1),(87,1)}
       117:{3,4,7}:{(87,1),(90,1),(93,1),(136,1),(142,1),(174,1),(180,1)}
       118:{3,7}:{(88,1),(89,1)}
       119:{3,4,6}:{(89,1),(90,1),(95,1),(138,1),(143,1),(144,1),(183,1)}
       120:{1,3,6,7}:{(91,1),(92,1),(94,1),(141,1),(145,1),(183,1),(196,1)}
       121:{1,4,6}:{(92,1),(93,1),(142,1),(146,1)}
       122:{1,4,7}:{(94,1),(95,1),(143,1),(180,1)}
       123:{1,4,5}:{(95,1),(144,1),(146,1),(181,1)}
       124:{2,3,5}:{(96,1),(99,1),(148,1),(149,1),(154,1)}
       125:{1,2,4}:{(96,1),(149,1),(150,1),(187,1)}
       126:{3,4,7}:{(97,1),(100,1),(151,1),(152,1),(188,1)}
       127:{1,4,6}:{(97,1),(98,1),(101,1),(151,1),(163,1)}
       128:{2,4,6}:{(97,1),(99,1),(102,1),(148,1),(152,1)}
       129:{1,2,4,5}:{(98,1),(99,1),(103,1),(149,1),(153,1),(154,1),(157,1),(187,1),(191,1),(204,1)}
       130:{1,3,5,7}:{(100,1),(101,1),(105,1),(112,1),(151,1),(155,1),(162,1),(188,1)}
       131:{2,5,7}:{(100,1),(102,1),(106,1),(152,1)}
       132:{1,2,5,6}:{(101,1),(102,1),(103,1),(107,1),(153,1),(155,1),(156,1),(204,1),(209,1)}
       133:{2,3,5}:{(103,1),(104,1),(154,1),(157,1)}
       134:{1,2,6,7}:{(105,1),(106,1),(107,1),(109,1),(155,1),(158,1),(209,1)}
       135:{2,3,6}:{(107,1),(108,1),(116,1),(159,1),(193,1)}
       136:{2,4,7}:{(108,1),(111,1),(117,1),(157,1),(159,1)}
       137:{2,3,7}:{(109,1),(110,1),(118,1),(160,1)}
       138:{2,4,6}:{(110,1),(111,1),(119,1),(160,1),(161,1),(193,1)}
       139:{1,2,5,7}:{(112,1),(113,1),(114,1),(115,1),(162,1),(167,1),(192,1)}
       140:{3,5,6}:{(114,1),(116,1),(162,1),(163,1),(165,1)}
       141:{3,6,7}:{(115,1),(116,1),(118,1),(162,1),(188,1)}
       142:{3,4,6}:{(116,1),(117,1),(121,1),(159,1),(163,1),(165,1)}
       143:{3,4,7}:{(118,1),(119,1),(122,1),(160,1),(166,1)}
       144:{3,5}:{(119,1),(123,1),(161,1)}
       145:{1,4,6,7}:{(120,1),(121,1),(122,1),(164,1),(167,1),(168,1),(203,1),(209,1)}
       146:{1,5}:{(121,1),(165,1)}
       147:{1,4,5,7}:{(122,1),(123,1),(166,1),(167,1),(168,1),(194,1)}
       148:{2,3,6}:{(124,1),(128,1),(169,1),(170,1),(173,1)}
       149:{1,2,5}:{(124,1),(125,1),(170,1),(171,1)}
       150:{1,3}:{(125,1)}
       151:{1,4,7}:{(126,1),(127,1),(130,1),(180,1)}
       152:{2,4,7}:{(126,1),(128,1),(131,1),(169,1)}
       153:{1,2,4,6}:{(127,1),(128,1),(129,1),(132,1),(170,1),(172,1),(173,1),(176,1),(197,1)}
       154:{3,5}:{(129,1),(173,1),(174,1)}
       155:{1,2,5,7}:{(130,1),(131,1),(132,1),(134,1),(172,1),(175,1),(207,1)}
       156:{2,3,5,6}:{(132,1),(133,1),(135,1),(140,1),(173,1),(175,1),(176,1),(178,1),(199,1),(201,1),(208,1)}
       157:{2,4}:{(133,1),(174,1)}
       158:{2,3,6,7}:{(134,1),(135,1),(137,1),(141,1),(175,1),(177,1),(208,1)}
       159:{2,4,6}:{(135,1),(136,1),(142,1),(178,1)}
       160:{2,4,7}:{(137,1),(138,1),(143,1),(179,1)}
       161:{2,5}:{(138,1),(144,1)}
       162:{3,5,7}:{(139,1),(140,1),(141,1),(180,1)}
       163:{4,6}:{(140,1),(180,1),(181,1)}
       164:{3,4,6,7}:{(141,1),(142,1),(143,1),(145,1),(177,1),(180,1),(182,1),(183,1),(198,1),(202,1),(208,1)}
       165:{3,5}:{(142,1),(146,1),(178,1),(181,1)}
       166:{3,5,7}:{(143,1),(144,1),(147,1),(179,1),(183,1)}
       167:{1,5,7}:{(145,1),(146,1),(182,1),(184,1)}
       168:{1,4,6}:{(147,1),(183,1),(184,1),(202,1)}
       169:{2,3,7}:{(148,1),(152,1),(185,1),(188,1)}
       170:{1,2,6}:{(148,1),(149,1),(185,1),(186,1)}
       171:{1,3,5}:{(149,1),(150,1),(154,1),(186,1),(187,1),(204,1)}
       172:{1,2,4,7}:{(151,1),(152,1),(153,1),(155,1),(185,1),(188,1),(190,1),(203,1)}
       173:{3,6}:{(153,1),(154,1),(188,1)}
       174:{3,4}:{(154,1),(157,1),(187,1)}
       175:{2,3,5,7}:{(155,1),(156,1),(158,1),(162,1),(188,1),(190,1),(192,1),(205,1)}
       176:{2,4,6}:{(156,1),(157,1),(163,1),(189,1),(190,1),(191,1)}
       177:{2,4,6,7}:{(158,1),(159,1),(160,1),(164,1),(190,1),(192,1),(193,1),(206,1)}
       178:{2,5}:{(159,1),(165,1)}
       179:{2,5,7}:{(160,1),(161,1),(166,1),(193,1)}
       180:{4,7}:{(162,1),(163,1)}
       181:{4,5}:{(163,1),(165,1)}
       182:{3,5,7}:{(164,1),(165,1),(167,1),(192,1),(194,1),(195,1)}
       183:{3,6}:{(166,1),(168,1),(193,1)}
       184:{1,5,6}:{(167,1),(168,1),(195,1),(209,1)}
       185:{1,2,7}:{(169,1),(170,1),(196,1)}
       186:{1,3,6}:{(170,1),(171,1),(173,1),(196,1),(197,1)}
       187:{1,4}:{(171,1),(174,1)}
       188:{3,7}:{(172,1),(173,1)}
       189:{3,4,6}:{(173,1),(174,1),(176,1),(197,1),(198,1),(199,1),(208,1)}
       190:{2,4,7}:{(175,1),(176,1),(180,1),(198,1)}
       191:{2,4,5}:{(176,1),(178,1),(181,1),(199,1)}
       192:{2,5,7}:{(177,1),(178,1),(182,1),(201,1)}
       193:{2,6}:{(179,1),(183,1)}
       194:{4,5,7}:{(180,1),(181,1),(182,1),(202,1)}
       195:{3,5,6}:{(182,1),(183,1),(184,1),(201,1),(202,1),(208,1)}
       196:{1,3,7}:{(185,1),(186,1),(188,1),(203,1)}
       197:{1,4,6}:{(186,1),(187,1),(189,1),(203,1),(204,1),(209,1)}
       198:{3,4,7}:{(188,1),(189,1),(190,1),(203,1),(205,1)}
       199:{3,5}:{(189,1),(191,1),(204,1)}
       200:{2,4,5,7}:{(190,1),(191,1),(192,1),(194,1),(205,1),(206,1)}
       201:{2,5,6}:{(192,1),(193,1),(195,1),(206,1)}
       202:{4,6}:{(194,1),(195,1)}
       203:{1,4,7}:{(196,1),(197,1),(198,1),(207,1)}
       204:{1,5}:{(197,1),(199,1)}
       205:{3,5,7}:{(198,1),(199,1),(200,1),(207,1),(208,1)}
       206:{2,4,6}:{(200,1),(201,1),(202,1),(208,1)}
       207:{1,5,7}:{(203,1),(204,1),(205,1),(209,1)}
       208:{3,6}:{(205,1),(206,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

1299 :   0:{1,2,3,7}:{(4,1),(5,1),(136,1),(163,1),(210,1)}
         1:{2,3,4,7}:{(5,1),(6,1),(7,1),(25,1),(97,1),(137,1),(163,1)}
         2:{1,2,3,5,7}:{(0,1),(8,1),(10,1),(11,1),(16,1),(18,1),(41,1),(43,1),(47,1),(48,1)}
         3:{3,4,5,7}:{(12,1),(13,1),(14,1),(47,1),(55,1),(63,1),(105,1),(112,1),(131,1),(176,1),(181,1)}
         4:{1,2,3,6}:{(0,1),(16,1),(17,1),(128,1),(189,1)}
         5:{1,2,4,7}:{(0,1),(1,1),(15,1),(17,1),(18,1),(170,1)}
         6:{2,3,4,6}:{(1,1),(17,1),(19,1),(20,1),(46,1),(59,1),(64,1),(128,1)}
         7:{2,3,5,7}:{(1,1),(12,1),(18,1),(19,1),(20,1),(47,1),(171,1),(217,1)}
         8:{1,2,3,7}:{(21,1),(22,1),(89,1),(200,1),(226,1)}
         9:{1,3,4,7}:{(22,1),(23,1),(24,1),(25,1),(91,1),(144,1),(200,1)}
        10:{1,2,3,6}:{(2,1),(26,1),(36,1),(70,1),(77,1)}
        11:{1,2,4,7}:{(2,1),(25,1),(26,1),(34,1),(68,1)}
        12:{2,4,5,7}:{(3,1),(7,1),(28,1),(37,1),(81,1),(97,1),(142,1),(201,1)}
        13:{1,4,5,7}:{(3,1),(24,1),(29,1),(71,1),(83,1),(95,1),(144,1),(164,1)}
        14:{3,4,6}:{(3,1),(28,1),(29,1),(30,1),(77,1),(149,1)}
        15:{1,3,4,7}:{(5,1),(25,1),(32,1),(33,1),(138,1),(159,1),(163,1)}
        16:{1,2,3,5}:{(4,1),(34,1),(35,1),(89,1),(92,1),(160,1)}
        17:{1,2,4,6}:{(4,1),(5,1),(6,1),(32,1),(34,1),(35,1),(36,1)}
        18:{1,2,5,7}:{(5,1),(7,1),(33,1),(35,1),(36,1),(197,1),(226,1)}
        19:{2,3,5}:{(6,1),(35,1),(37,1),(76,1),(92,1)}
        20:{2,3,6}:{(7,1),(28,1),(36,1),(77,1)}
        21:{1,2,3,6}:{(8,1),(41,1),(42,1),(173,1),(216,1)}
        22:{1,2,4,7}:{(8,1),(9,1),(40,1),(42,1),(43,1),(125,1)}
        23:{1,3,4,6}:{(9,1),(42,1),(44,1),(45,1),(46,1),(101,1),(106,1),(173,1)}
        24:{1,3,5,7}:{(9,1),(13,1),(43,1),(44,1),(45,1),(47,1),(127,1),(191,1)}
        25:{3,4,7}:{(11,1),(46,1),(47,1),(59,1),(101,1),(181,1)}
        26:{1,2,4,6}:{(10,1),(11,1),(46,1),(48,1)}
        27:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(18,1),(43,1),(47,1),(48,1),(49,1),(56,1),(60,1),(98,1),(102,1),(112,1),(115,1),(129,1),(174,1),(181,1)}
        28:{2,4,6}:{(12,1),(14,1),(20,1),(50,1)}
        29:{1,4,6}:{(13,1),(14,1),(45,1),(52,1)}
        30:{3,5,6}:{(14,1),(50,1),(52,1),(54,1),(55,1)}
        31:{3,4,6,7}:{(14,1),(51,1),(53,1),(55,1),(110,1),(114,1),(131,1),(176,1),(177,1),(178,1),(181,1)}
        32:{1,3,4,6}:{(15,1),(17,1),(46,1),(57,1),(58,1),(59,1),(123,1),(128,1)}
        33:{1,3,5,7}:{(15,1),(18,1),(47,1),(56,1),(57,1),(58,1),(172,1),(218,1)}
        34:{1,2,4}:{(16,1),(59,1)}
        35:{1,2,5}:{(17,1),(19,1),(57,1)}
        36:{1,2,6}:{(18,1),(20,1),(58,1)}
        37:{2,4,5}:{(19,1),(63,1),(64,1),(112,1)}
        38:{2,3,5,6}:{(19,1),(20,1),(50,1),(61,1),(64,1),(65,1),(113,1),(116,1),(128,1)}
        39:{2,3,6,7}:{(20,1),(51,1),(62,1),(65,1),(114,1),(177,1),(217,1)}
        40:{2,3,4,7}:{(22,1),(25,1),(66,1),(67,1),(90,1),(196,1),(200,1)}
        41:{1,2,3,5}:{(21,1),(68,1),(69,1),(136,1),(139,1),(197,1)}
        42:{1,2,4,6}:{(21,1),(22,1),(23,1),(66,1),(68,1),(69,1),(70,1)}
        43:{1,2,5,7}:{(22,1),(24,1),(67,1),(69,1),(70,1),(160,1),(210,1)}
        44:{1,3,5}:{(23,1),(69,1),(71,1),(76,1),(139,1)}
        45:{1,3,6}:{(24,1),(29,1),(70,1),(77,1)}
        46:{3,4,6}:{(25,1),(26,1),(76,1),(77,1),(149,1)}
        47:{3,5,7}:{(25,1),(27,1),(76,1),(77,1),(92,1),(139,1),(163,1),(200,1)}
        48:{1,2,5}:{(26,1),(76,1)}
        49:{1,2,4,6}:{(27,1),(28,1),(29,1),(36,1),(70,1),(77,1),(78,1),(85,1),(132,1),(149,1)}
        50:{2,5,6}:{(28,1),(30,1),(81,1)}
        51:{2,4,6,7}:{(28,1),(31,1),(39,1),(81,1),(97,1),(201,1),(203,1)}
        52:{1,5,6}:{(29,1),(30,1),(83,1)}
        53:{1,4,6,7}:{(29,1),(31,1),(73,1),(83,1),(144,1),(164,1),(202,1)}
        54:{4,5,6}:{(30,1),(84,1),(149,1)}
        55:{3,5,7}:{(30,1),(31,1),(81,1),(83,1),(84,1)}
        56:{1,4,5,7}:{(33,1),(75,1),(85,1),(86,1),(156,1),(159,1),(194,1),(225,1)}
        57:{1,3,5}:{(32,1),(35,1),(76,1),(86,1),(92,1)}
        58:{1,3,6}:{(33,1),(36,1),(77,1),(85,1)}
        59:{3,4}:{(34,1),(92,1)}
        60:{1,2,4,5}:{(34,1),(35,1),(37,1),(86,1),(92,1),(93,1),(95,1),(157,1),(160,1)}
        61:{1,2,5,6}:{(35,1),(36,1),(38,1),(87,1),(93,1),(94,1),(151,1),(207,1)}
        62:{1,2,6,7}:{(36,1),(39,1),(88,1),(94,1),(202,1),(226,1),(227,1)}
        63:{3,4,5}:{(37,1),(92,1),(95,1),(96,1)}
        64:{2,4,6}:{(37,1),(38,1),(96,1),(97,1),(149,1)}
        65:{2,3,5,7}:{(38,1),(39,1),(81,1),(94,1),(97,1),(150,1),(152,1),(163,1)}
        66:{2,3,4,6}:{(40,1),(42,1),(46,1),(99,1),(100,1),(101,1),(168,1),(173,1)}
        67:{2,3,5,7}:{(40,1),(43,1),(47,1),(98,1),(99,1),(100,1),(126,1),(190,1)}
        68:{1,2,4}:{(41,1),(101,1)}
        69:{1,2,5}:{(42,1),(44,1),(99,1)}
        70:{1,2,6}:{(43,1),(45,1),(100,1)}
        71:{1,4,5}:{(44,1),(105,1),(106,1),(112,1)}
        72:{1,3,5,6}:{(44,1),(45,1),(52,1),(103,1),(106,1),(107,1),(113,1),(118,1),(173,1)}
        73:{1,3,6,7}:{(45,1),(53,1),(104,1),(107,1),(114,1),(178,1),(191,1)}
        74:{3,5,6,7}:{(55,1),(108,1),(109,1),(110,1),(177,1),(178,1)}
        75:{3,4,5,7}:{(47,1),(56,1),(98,1),(111,1),(112,1),(122,1),(167,1),(180,1),(181,1),(188,1),(215,1)}
        76:{3,5}:{(46,1),(48,1),(112,1)}
        77:{3,6}:{(47,1),(49,1)}
        78:{1,2,5,6}:{(48,1),(49,1),(50,1),(52,1),(113,1),(115,1),(120,1),(165,1)}
        79:{1,2,4,6,7}:{(49,1),(51,1),(53,1),(62,1),(104,1),(114,1),(115,1),(121,1),(129,1),(166,1),(174,1),(181,1)}
        80:{2,4,5,6}:{(50,1),(54,1),(64,1),(116,1),(117,1)}
        81:{2,5,7}:{(50,1),(51,1),(55,1)}
        82:{1,4,5,6}:{(52,1),(54,1),(106,1),(118,1),(119,1)}
        83:{1,5,7}:{(52,1),(53,1),(55,1)}
        84:{4,5,7}:{(54,1),(55,1),(110,1),(181,1)}
        85:{1,4,6}:{(56,1),(58,1),(111,1),(120,1)}
        86:{1,4,5}:{(57,1),(112,1),(122,1),(123,1)}
        87:{1,3,5,6}:{(57,1),(58,1),(61,1),(113,1),(120,1),(123,1),(124,1),(128,1),(185,1)}
        88:{1,3,6,7}:{(58,1),(62,1),(114,1),(121,1),(124,1),(218,1),(220,1)}
        89:{1,2,3}:{(125,1)}
        90:{2,3,4}:{(59,1),(125,1),(126,1)}
        91:{1,3,4}:{(59,1),(125,1),(127,1)}
        92:{3,5}:{(59,1),(60,1),(128,1)}
        93:{1,2,4,6}:{(60,1),(61,1),(64,1),(123,1),(128,1),(129,1),(130,1),(187,1),(189,1)}
        94:{1,2,5,7}:{(61,1),(62,1),(65,1),(124,1),(129,1),(182,1),(221,1)}
        95:{1,4,5}:{(63,1),(127,1),(130,1)}
        96:{3,4,6}:{(63,1),(64,1),(116,1),(128,1),(130,1),(131,1)}
        97:{2,4,7}:{(64,1),(65,1),(131,1),(181,1)}
        98:{2,4,5,7}:{(67,1),(75,1),(132,1),(133,1),(157,1),(193,1),(196,1),(209,1)}
        99:{2,3,5}:{(66,1),(69,1),(76,1),(133,1),(139,1)}
       100:{2,3,6}:{(67,1),(70,1),(77,1),(132,1)}
       101:{3,4}:{(68,1),(139,1)}
       102:{1,2,4,5}:{(68,1),(69,1),(71,1),(133,1),(139,1),(140,1),(142,1),(194,1),(197,1)}
       103:{1,2,5,6}:{(69,1),(70,1),(72,1),(134,1),(140,1),(141,1),(153,1),(223,1)}
       104:{1,2,6,7}:{(70,1),(73,1),(135,1),(141,1),(203,1),(210,1),(230,1)}
       105:{3,4,5}:{(71,1),(139,1),(142,1),(143,1)}
       106:{1,4,6}:{(71,1),(72,1),(143,1),(144,1),(149,1)}
       107:{1,3,5,7}:{(72,1),(73,1),(83,1),(141,1),(144,1),(150,1),(154,1),(200,1)}
       108:{2,5,6,7}:{(74,1),(81,1),(145,1),(203,1)}
       109:{1,5,6,7}:{(74,1),(83,1),(146,1),(202,1)}
       110:{4,6,7}:{(74,1),(84,1)}
       111:{3,4,6}:{(75,1),(77,1),(85,1),(132,1),(147,1),(149,1)}
       112:{4,5}:{(76,1),(149,1)}
       113:{3,5,6}:{(76,1),(77,1),(78,1),(149,1),(150,1)}
       114:{3,6,7}:{(77,1),(79,1),(150,1),(163,1),(200,1)}
       115:{1,2,5,7}:{(78,1),(79,1),(81,1),(83,1),(150,1),(156,1),(193,1)}
       116:{3,5,6}:{(80,1),(96,1),(151,1),(152,1)}
       117:{2,4,5,7}:{(80,1),(81,1),(84,1),(97,1),(145,1),(152,1)}
       118:{3,5,6}:{(82,1),(143,1),(153,1),(154,1)}
       119:{1,4,5,7}:{(82,1),(83,1),(84,1),(144,1),(146,1),(154,1)}
       120:{1,5,6}:{(85,1),(147,1),(156,1)}
       121:{1,4,6,7}:{(85,1),(88,1),(148,1),(156,1),(159,1),(225,1),(230,1)}
       122:{3,4,5}:{(86,1),(92,1),(157,1),(158,1)}
       123:{1,4,6}:{(86,1),(87,1),(149,1),(158,1),(159,1)}
       124:{1,3,5,7}:{(87,1),(88,1),(94,1),(150,1),(156,1),(159,1),(163,1),(208,1)}
       125:{1,2,4}:{(89,1),(90,1),(91,1),(160,1)}
       126:{2,3,5}:{(90,1),(92,1),(157,1),(160,1),(161,1)}
       127:{1,3,5}:{(91,1),(92,1),(95,1),(160,1),(162,1)}
       128:{3,6}:{(92,1),(93,1),(163,1)}
       129:{1,2,4,7}:{(93,1),(94,1),(97,1),(159,1),(163,1),(164,1),(209,1),(210,1)}
       130:{1,4,6}:{(95,1),(96,1),(151,1),(162,1),(164,1)}
       131:{3,4,7}:{(96,1),(97,1),(152,1),(163,1),(164,1)}
       132:{2,4,6}:{(98,1),(100,1),(111,1),(165,1)}
       133:{2,4,5}:{(99,1),(112,1),(167,1),(168,1)}
       134:{2,3,5,6}:{(99,1),(100,1),(103,1),(113,1),(165,1),(168,1),(169,1),(173,1),(212,1)}
       135:{2,3,6,7}:{(100,1),(104,1),(114,1),(166,1),(169,1),(190,1),(228,1)}
       136:{1,2,3}:{(170,1)}
       137:{2,3,4}:{(101,1),(170,1),(171,1)}
       138:{1,3,4}:{(101,1),(170,1),(172,1)}
       139:{3,5}:{(101,1),(102,1),(173,1)}
       140:{1,2,4,6}:{(102,1),(103,1),(106,1),(168,1),(173,1),(174,1),(175,1),(214,1),(216,1)}
       141:{1,2,5,7}:{(103,1),(104,1),(107,1),(169,1),(174,1),(183,1),(229,1)}
       142:{2,4,5}:{(105,1),(171,1),(175,1)}
       143:{3,4,6}:{(105,1),(106,1),(118,1),(173,1),(175,1),(176,1)}
       144:{1,4,7}:{(106,1),(107,1),(176,1),(181,1)}
       145:{2,4,6,7}:{(108,1),(110,1),(117,1),(177,1)}
       146:{1,4,6,7}:{(109,1),(110,1),(119,1),(178,1)}
       147:{3,5,6}:{(111,1),(120,1),(165,1),(179,1),(180,1)}
       148:{3,4,6,7}:{(111,1),(114,1),(121,1),(166,1),(180,1),(181,1),(188,1),(215,1),(219,1),(220,1),(228,1)}
       149:{4,6}:{(112,1),(113,1),(181,1)}
       150:{3,5,7}:{(113,1),(114,1),(115,1),(181,1)}
       151:{1,5,6}:{(116,1),(130,1),(182,1)}
       152:{3,5,7}:{(116,1),(117,1),(131,1),(177,1),(182,1)}
       153:{2,5,6}:{(118,1),(175,1),(183,1)}
       154:{3,5,7}:{(118,1),(119,1),(176,1),(178,1),(183,1)}
       155:{1,4,5,6}:{(120,1),(123,1),(179,1),(185,1),(186,1)}
       156:{1,5,7}:{(120,1),(121,1),(180,1)}
       157:{2,4,5}:{(122,1),(126,1),(187,1)}
       158:{3,4,6}:{(122,1),(123,1),(128,1),(185,1),(187,1),(188,1)}
       159:{1,4,7}:{(123,1),(124,1),(181,1),(188,1)}
       160:{1,2,5}:{(125,1),(126,1),(127,1),(189,1)}
       161:{2,3,6}:{(126,1),(128,1),(187,1),(189,1),(190,1)}
       162:{1,3,6}:{(127,1),(128,1),(130,1),(189,1),(191,1)}
       163:{3,7}:{(128,1),(129,1)}
       164:{1,4,7}:{(130,1),(131,1),(182,1),(191,1)}
       165:{2,5,6}:{(132,1),(147,1),(193,1)}
       166:{2,4,6,7}:{(132,1),(135,1),(148,1),(193,1),(196,1),(209,1),(227,1)}
       167:{3,4,5}:{(133,1),(139,1),(194,1),(195,1)}
       168:{2,4,6}:{(133,1),(134,1),(149,1),(195,1),(196,1)}
       169:{2,3,5,7}:{(134,1),(135,1),(141,1),(150,1),(193,1),(196,1),(200,1),(224,1)}
       170:{1,2,4}:{(136,1),(137,1),(138,1),(197,1)}
       171:{2,3,5}:{(137,1),(139,1),(142,1),(197,1),(198,1)}
       172:{1,3,5}:{(138,1),(139,1),(194,1),(197,1),(199,1)}
       173:{3,6}:{(139,1),(140,1),(200,1)}
       174:{1,2,4,7}:{(140,1),(141,1),(144,1),(196,1),(200,1),(201,1),(225,1),(226,1)}
       175:{2,4,6}:{(142,1),(143,1),(153,1),(198,1),(201,1)}
       176:{3,4,7}:{(143,1),(144,1),(154,1),(200,1),(201,1)}
       177:{3,6,7}:{(145,1),(152,1),(202,1)}
       178:{3,6,7}:{(146,1),(154,1),(203,1)}
       179:{4,5,6}:{(147,1),(149,1),(205,1)}
       180:{3,5,7}:{(147,1),(148,1),(156,1),(193,1),(205,1)}
       181:{4,7}:{(149,1),(150,1)}
       182:{1,5,7}:{(151,1),(152,1),(164,1),(202,1)}
       183:{2,5,7}:{(153,1),(154,1),(201,1),(203,1)}
       184:{1,5,6,7}:{(156,1),(204,1),(206,1),(230,1)}
       185:{3,5,6}:{(155,1),(158,1),(207,1),(208,1)}
       186:{1,4,5,7}:{(155,1),(156,1),(159,1),(205,1),(206,1),(208,1)}
       187:{2,4,6}:{(157,1),(158,1),(161,1),(207,1),(209,1)}
       188:{3,4,7}:{(158,1),(159,1),(163,1),(208,1),(209,1)}
       189:{1,2,6}:{(160,1),(161,1),(162,1),(210,1)}
       190:{2,3,7}:{(161,1),(163,1),(209,1),(210,1)}
       191:{1,3,7}:{(162,1),(163,1),(164,1),(210,1)}
       192:{2,4,5,6}:{(165,1),(168,1),(179,1),(212,1),(213,1)}
       193:{2,5,7}:{(165,1),(166,1),(180,1)}
       194:{1,4,5}:{(167,1),(172,1),(214,1)}
       195:{3,4,6}:{(167,1),(168,1),(173,1),(212,1),(214,1),(215,1)}
       196:{2,4,7}:{(168,1),(169,1),(181,1),(215,1)}
       197:{1,2,5}:{(170,1),(171,1),(172,1),(216,1)}
       198:{2,3,6}:{(171,1),(173,1),(175,1),(216,1),(217,1)}
       199:{1,3,6}:{(172,1),(173,1),(214,1),(216,1),(218,1)}
       200:{3,7}:{(173,1),(174,1)}
       201:{2,4,7}:{(175,1),(176,1),(183,1),(217,1)}
       202:{1,6,7}:{(177,1),(182,1)}
       203:{2,6,7}:{(178,1),(183,1)}
       204:{3,5,6,7}:{(180,1),(184,1),(211,1),(219,1),(220,1),(228,1)}
       205:{4,5,7}:{(179,1),(180,1),(181,1),(219,1)}
       206:{1,4,6,7}:{(184,1),(186,1),(219,1),(220,1)}
       207:{2,5,6}:{(185,1),(187,1),(221,1)}
       208:{3,5,7}:{(185,1),(186,1),(188,1),(220,1),(221,1)}
       209:{2,4,7}:{(187,1),(188,1),(190,1),(221,1)}
       210:{1,2,7}:{(189,1),(190,1),(191,1)}
       211:{2,5,6,7}:{(193,1),(204,1),(222,1),(227,1)}
       212:{3,5,6}:{(192,1),(195,1),(223,1),(224,1)}
       213:{2,4,5,7}:{(192,1),(193,1),(196,1),(205,1),(222,1),(224,1)}
       214:{1,4,6}:{(194,1),(195,1),(199,1),(223,1),(225,1)}
       215:{3,4,7}:{(195,1),(196,1),(200,1),(224,1),(225,1)}
       216:{1,2,6}:{(197,1),(198,1),(199,1),(226,1)}
       217:{2,3,7}:{(198,1),(200,1),(201,1),(226,1)}
       218:{1,3,7}:{(199,1),(200,1),(225,1),(226,1)}
       219:{4,6,7}:{(204,1),(205,1)}
       220:{3,6,7}:{(206,1),(208,1),(227,1)}
       221:{2,5,7}:{(207,1),(208,1),(209,1),(227,1)}
       222:{2,4,6,7}:{(211,1),(213,1),(219,1),(228,1)}
       223:{1,5,6}:{(212,1),(214,1),(229,1)}
       224:{3,5,7}:{(212,1),(213,1),(215,1),(228,1),(229,1)}
       225:{1,4,7}:{(214,1),(215,1),(218,1),(229,1)}
       226:{1,2,7}:{(216,1),(217,1),(218,1)}
       227:{2,6,7}:{(220,1),(221,1)}
       228:{3,6,7}:{(222,1),(224,1),(230,1)}
       229:{1,5,7}:{(223,1),(224,1),(225,1),(230,1)}
       230:{1,6,7}:{(228,1),(229,1)}

1300 :   0:{2,5,6,7}:{(2,1),(6,1),(88,1),(92,1)}
         1:{2,3,4,7}:{(5,1),(7,1),(8,1),(78,1),(96,1),(101,1),(155,1),(189,1)}
         2:{3,5,6,7}:{(0,1),(9,1),(12,1),(21,1),(54,1),(58,1)}
         3:{3,4,5,7}:{(13,1),(14,1),(15,1),(16,1),(49,1),(58,1),(64,1),(67,1),(111,1),(170,1),(171,1)}
         4:{2,4,5,6}:{(11,1),(17,1),(18,1),(60,1),(69,1)}
         5:{2,3,4,6}:{(1,1),(19,1),(20,1),(22,1),(69,1),(125,1),(130,1),(131,1),(174,1)}
         6:{2,4,6,7}:{(0,1),(12,1),(17,1),(21,1)}
         7:{2,3,5,7}:{(1,1),(15,1),(19,1),(22,1),(23,1),(64,1),(109,1),(160,1),(200,1)}
         8:{1,2,4,7}:{(1,1),(20,1),(23,1),(24,1),(77,1),(110,1)}
         9:{1,5,6,7}:{(2,1),(27,1),(45,1),(91,1)}
        10:{1,3,4,7}:{(26,1),(28,1),(29,1),(36,1),(96,1),(139,1),(182,1),(202,1)}
        11:{4,5,6}:{(30,1),(31,1),(149,1)}
        12:{4,6,7}:{(2,1),(30,1)}
        13:{3,4,6}:{(3,1),(31,1),(33,1),(34,1),(95,1),(149,1)}
        14:{1,4,5,7}:{(3,1),(28,1),(33,1),(38,1),(80,1),(91,1),(100,1),(139,1)}
        15:{2,4,5,7}:{(3,1),(7,1),(34,1),(39,1),(81,1),(92,1),(101,1),(140,1)}
        16:{3,4,5}:{(37,1),(38,1),(39,1),(103,1)}
        17:{2,4,5,7}:{(4,1),(6,1),(30,1),(40,1),(92,1),(101,1)}
        18:{3,5,6}:{(4,1),(37,1),(40,1),(41,1)}
        19:{2,3,5}:{(5,1),(39,1),(43,1),(103,1),(151,1),(190,1)}
        20:{1,2,4,6}:{(5,1),(8,1),(43,1),(44,1),(47,1),(106,1),(108,1)}
        21:{3,6,7}:{(6,1),(40,1),(45,1)}
        22:{2,3,6}:{(7,1),(34,1),(47,1),(95,1),(206,1)}
        23:{1,2,5,7}:{(7,1),(8,1),(43,1),(47,1),(48,1),(137,1),(179,1)}
        24:{1,3,7}:{(8,1),(44,1),(138,1),(155,1)}
        25:{1,4,5,6}:{(11,1),(50,1),(51,1),(59,1),(112,1)}
        26:{1,3,4,6}:{(10,1),(52,1),(53,1),(55,1),(112,1),(125,1),(164,1),(165,1),(194,1)}
        27:{1,4,6,7}:{(9,1),(12,1),(50,1),(54,1)}
        28:{1,3,5,7}:{(10,1),(14,1),(52,1),(55,1),(56,1),(64,1),(65,1),(126,1),(207,1)}
        29:{1,2,4,7}:{(10,1),(53,1),(56,1),(57,1),(66,1),(121,1)}
        30:{4,5,7}:{(11,1),(12,1),(58,1),(170,1)}
        31:{3,5,6}:{(11,1),(13,1),(58,1),(59,1),(60,1)}
        32:{3,4,6,7}:{(12,1),(13,1),(21,1),(54,1),(58,1),(61,1),(62,1),(67,1),(111,1),(124,1),(170,1)}
        33:{1,4,6}:{(13,1),(14,1),(55,1),(59,1)}
        34:{2,4,6}:{(13,1),(15,1),(22,1),(60,1)}
        35:{1,2,4,5,7}:{(14,1),(15,1),(23,1),(56,1),(63,1),(64,1),(70,1),(77,1),(114,1),(121,1),(122,1),(129,1),(135,1),(163,1),(169,1),(170,1),(171,1),(177,1),(197,1),(200,1),(207,1)}
        36:{1,3,4}:{(65,1),(66,1),(131,1)}
        37:{3,4,6}:{(16,1),(18,1),(67,1),(68,1),(69,1),(130,1)}
        38:{1,4,5}:{(16,1),(65,1),(68,1)}
        39:{2,4,5}:{(16,1),(19,1),(69,1),(171,1)}
        40:{3,5,7}:{(17,1),(18,1),(21,1),(67,1),(71,1)}
        41:{1,5,6}:{(18,1),(68,1),(71,1)}
        42:{2,3,5,6}:{(18,1),(19,1),(22,1),(60,1),(69,1),(72,1),(73,1),(123,1),(130,1)}
        43:{1,2,5}:{(19,1),(20,1),(74,1),(135,1)}
        44:{1,3,6}:{(20,1),(24,1),(74,1),(130,1)}
        45:{1,6,7}:{(21,1),(71,1)}
        46:{2,3,6,7}:{(21,1),(22,1),(62,1),(72,1),(75,1),(124,1),(160,1)}
        47:{1,2,6}:{(22,1),(23,1),(76,1)}
        48:{1,3,5,7}:{(23,1),(24,1),(64,1),(74,1),(76,1),(77,1),(135,1),(162,1),(193,1),(207,1)}
        49:{3,4,5}:{(79,1),(80,1),(81,1),(142,1)}
        50:{1,4,5,7}:{(25,1),(27,1),(30,1),(82,1),(91,1),(139,1)}
        51:{3,5,6}:{(25,1),(79,1),(82,1),(84,1)}
        52:{1,3,5}:{(26,1),(80,1),(85,1),(142,1),(151,1),(203,1)}
        53:{1,2,4,6}:{(26,1),(29,1),(85,1),(86,1),(89,1),(145,1),(147,1)}
        54:{3,6,7}:{(27,1),(82,1),(88,1)}
        55:{1,3,6}:{(28,1),(33,1),(89,1),(95,1),(209,1)}
        56:{1,2,5,7}:{(28,1),(29,1),(85,1),(89,1),(90,1),(98,1),(152,1)}
        57:{2,3,7}:{(29,1),(86,1),(99,1),(182,1)}
        58:{3,5,7}:{(30,1),(31,1),(32,1),(91,1),(92,1)}
        59:{1,5,6}:{(31,1),(33,1),(91,1)}
        60:{2,5,6}:{(31,1),(34,1),(92,1)}
        61:{1,4,6,7}:{(32,1),(33,1),(45,1),(87,1),(91,1),(100,1),(139,1)}
        62:{2,4,6,7}:{(32,1),(34,1),(46,1),(88,1),(92,1),(101,1),(140,1)}
        63:{1,2,4,6}:{(33,1),(34,1),(35,1),(47,1),(89,1),(93,1),(95,1),(108,1),(147,1),(149,1),(192,1),(205,1),(206,1),(209,1)}
        64:{3,5,7}:{(35,1),(95,1),(96,1),(103,1),(142,1),(151,1),(155,1),(182,1)}
        65:{1,3,5}:{(36,1),(38,1),(97,1),(98,1),(103,1)}
        66:{1,2,4}:{(36,1),(98,1),(99,1),(154,1)}
        67:{3,4,7}:{(37,1),(40,1),(100,1),(101,1),(155,1)}
        68:{1,4,6}:{(37,1),(38,1),(41,1),(97,1),(100,1)}
        69:{2,4,6}:{(37,1),(39,1),(42,1),(101,1),(149,1)}
        70:{1,2,4,5}:{(38,1),(39,1),(43,1),(98,1),(102,1),(103,1),(106,1),(154,1),(158,1),(190,1)}
        71:{1,5,7}:{(40,1),(41,1),(45,1),(100,1)}
        72:{2,3,5,7}:{(40,1),(42,1),(46,1),(92,1),(101,1),(104,1),(148,1),(155,1)}
        73:{1,2,5,6}:{(41,1),(42,1),(43,1),(47,1),(102,1),(104,1),(105,1),(190,1),(206,1)}
        74:{1,3,5}:{(43,1),(44,1),(103,1),(106,1)}
        75:{1,2,6,7}:{(45,1),(46,1),(47,1),(104,1),(107,1),(179,1),(206,1)}
        76:{1,3,6}:{(47,1),(48,1),(95,1),(108,1),(209,1)}
        77:{1,4,7}:{(48,1),(96,1),(106,1),(108,1),(181,1)}
        78:{2,3,4}:{(109,1),(110,1),(165,1)}
        79:{3,4,6}:{(49,1),(51,1),(111,1),(112,1),(113,1),(164,1)}
        80:{1,4,5}:{(49,1),(52,1),(112,1),(171,1)}
        81:{2,4,5}:{(49,1),(109,1),(113,1)}
        82:{3,5,7}:{(50,1),(51,1),(54,1),(111,1),(116,1)}
        83:{1,3,5,6}:{(51,1),(52,1),(55,1),(59,1),(112,1),(115,1),(117,1),(123,1),(164,1)}
        84:{2,5,6}:{(51,1),(113,1),(116,1)}
        85:{1,2,5}:{(52,1),(53,1),(118,1),(169,1)}
        86:{2,3,6}:{(53,1),(57,1),(118,1),(164,1)}
        87:{1,3,6,7}:{(54,1),(55,1),(61,1),(115,1),(119,1),(124,1),(126,1)}
        88:{2,6,7}:{(54,1),(116,1)}
        89:{1,2,6}:{(55,1),(56,1),(120,1)}
        90:{2,3,5,7}:{(56,1),(57,1),(64,1),(118,1),(120,1),(121,1),(128,1),(169,1),(173,1),(200,1)}
        91:{1,5,7}:{(58,1),(59,1),(61,1)}
        92:{2,5,7}:{(58,1),(60,1),(62,1)}
        93:{1,2,5,6}:{(59,1),(60,1),(63,1),(122,1),(123,1),(135,1),(169,1),(178,1),(198,1)}
        94:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(75,1),(119,1),(122,1),(124,1),(129,1),(134,1),(163,1),(168,1),(170,1)}
        95:{3,6}:{(63,1),(64,1)}
        96:{3,4,7}:{(64,1),(77,1),(121,1),(125,1),(131,1),(165,1),(170,1)}
        97:{1,3,6}:{(65,1),(68,1),(126,1),(127,1),(130,1)}
        98:{1,2,5}:{(65,1),(66,1),(127,1),(128,1)}
        99:{2,3}:{(66,1)}
       100:{1,4,7}:{(67,1),(68,1),(71,1),(126,1)}
       101:{2,4,7}:{(67,1),(69,1),(72,1),(170,1)}
       102:{1,2,4,6}:{(68,1),(69,1),(70,1),(73,1),(127,1),(129,1),(130,1),(133,1),(174,1)}
       103:{3,5}:{(70,1),(130,1),(131,1)}
       104:{1,2,5,7}:{(71,1),(72,1),(73,1),(75,1),(129,1),(132,1),(200,1)}
       105:{1,3,5,6}:{(73,1),(74,1),(76,1),(123,1),(130,1),(132,1),(133,1),(135,1),(176,1),(178,1),(201,1)}
       106:{1,4}:{(74,1),(131,1)}
       107:{1,3,6,7}:{(75,1),(76,1),(124,1),(132,1),(134,1),(193,1),(201,1)}
       108:{1,4,6}:{(76,1),(77,1),(125,1),(135,1)}
       109:{2,3,5}:{(78,1),(81,1),(136,1),(137,1),(142,1)}
       110:{1,2,4}:{(78,1),(137,1),(138,1),(181,1)}
       111:{3,4,7}:{(79,1),(82,1),(139,1),(140,1),(182,1)}
       112:{1,4,6}:{(79,1),(80,1),(83,1),(139,1),(149,1)}
       113:{2,4,6}:{(79,1),(81,1),(84,1),(136,1),(140,1)}
       114:{1,2,4,5}:{(80,1),(81,1),(85,1),(137,1),(141,1),(142,1),(145,1),(181,1),(185,1),(203,1)}
       115:{1,3,5,7}:{(82,1),(83,1),(87,1),(91,1),(139,1),(143,1),(148,1),(182,1)}
       116:{2,5,7}:{(82,1),(84,1),(88,1),(140,1)}
       117:{1,2,5,6}:{(83,1),(84,1),(85,1),(89,1),(141,1),(143,1),(144,1),(203,1),(209,1)}
       118:{2,3,5}:{(85,1),(86,1),(142,1),(145,1)}
       119:{1,2,6,7}:{(87,1),(88,1),(89,1),(143,1),(146,1),(152,1),(209,1)}
       120:{2,3,6}:{(89,1),(90,1),(95,1),(147,1),(206,1)}
       121:{2,4,7}:{(90,1),(96,1),(145,1),(147,1),(154,1)}
       122:{1,2,5,7}:{(91,1),(92,1),(93,1),(94,1),(148,1),(159,1),(186,1)}
       123:{3,5,6}:{(93,1),(95,1),(148,1),(149,1),(151,1)}
       124:{3,6,7}:{(94,1),(95,1),(148,1),(155,1),(182,1)}
       125:{3,4,6}:{(95,1),(96,1),(108,1),(147,1),(149,1),(151,1)}
       126:{1,3,7}:{(97,1),(100,1),(152,1),(155,1)}
       127:{1,2,6}:{(97,1),(98,1),(152,1),(153,1)}
       128:{2,3,5}:{(98,1),(99,1),(103,1),(153,1),(154,1),(190,1)}
       129:{1,2,4,7}:{(100,1),(101,1),(102,1),(104,1),(152,1),(155,1),(157,1),(189,1)}
       130:{3,6}:{(102,1),(103,1),(155,1)}
       131:{3,4}:{(103,1),(106,1),(154,1)}
       132:{1,3,5,7}:{(104,1),(105,1),(107,1),(148,1),(155,1),(157,1),(159,1),(191,1)}
       133:{1,4,6}:{(105,1),(106,1),(149,1),(156,1),(157,1),(158,1)}
       134:{1,4,6,7}:{(107,1),(108,1),(150,1),(157,1),(159,1),(192,1),(202,1),(209,1)}
       135:{1,5}:{(108,1),(151,1)}
       136:{2,3,6}:{(109,1),(113,1),(160,1),(161,1),(164,1)}
       137:{1,2,5}:{(109,1),(110,1),(161,1),(162,1)}
       138:{1,3}:{(110,1)}
       139:{1,4,7}:{(111,1),(112,1),(115,1),(170,1)}
       140:{2,4,7}:{(111,1),(113,1),(116,1),(160,1)}
       141:{1,2,4,6}:{(112,1),(113,1),(114,1),(117,1),(161,1),(163,1),(164,1),(167,1),(194,1)}
       142:{3,5}:{(114,1),(164,1),(165,1)}
       143:{1,2,5,7}:{(115,1),(116,1),(117,1),(119,1),(163,1),(166,1),(207,1)}
       144:{2,3,5,6}:{(117,1),(118,1),(120,1),(123,1),(164,1),(166,1),(167,1),(169,1),(196,1),(198,1),(208,1)}
       145:{2,4}:{(118,1),(165,1)}
       146:{2,3,6,7}:{(119,1),(120,1),(124,1),(166,1),(168,1),(173,1),(208,1)}
       147:{2,4,6}:{(120,1),(121,1),(125,1),(169,1)}
       148:{3,5,7}:{(122,1),(123,1),(124,1),(170,1)}
       149:{4,6}:{(123,1),(170,1),(171,1)}
       150:{3,4,6,7}:{(124,1),(125,1),(134,1),(168,1),(170,1),(172,1),(175,1),(195,1),(199,1),(201,1),(208,1)}
       151:{3,5}:{(125,1),(135,1),(169,1),(171,1)}
       152:{1,2,7}:{(126,1),(127,1),(173,1)}
       153:{2,3,6}:{(127,1),(128,1),(130,1),(173,1),(174,1)}
       154:{2,4}:{(128,1),(131,1)}
       155:{3,7}:{(129,1),(130,1)}
       156:{3,4,6}:{(130,1),(131,1),(133,1),(174,1),(175,1),(176,1),(201,1)}
       157:{1,4,7}:{(132,1),(133,1),(170,1),(175,1)}
       158:{1,4,5}:{(133,1),(135,1),(171,1),(176,1)}
       159:{1,5,7}:{(134,1),(135,1),(172,1),(178,1)}
       160:{2,3,7}:{(136,1),(140,1),(179,1),(182,1)}
       161:{1,2,6}:{(136,1),(137,1),(179,1),(180,1)}
       162:{1,3,5}:{(137,1),(138,1),(142,1),(180,1),(181,1),(203,1)}
       163:{1,2,4,7}:{(139,1),(140,1),(141,1),(143,1),(179,1),(182,1),(184,1),(202,1)}
       164:{3,6}:{(141,1),(142,1),(182,1)}
       165:{3,4}:{(142,1),(145,1),(181,1)}
       166:{2,3,5,7}:{(143,1),(144,1),(146,1),(148,1),(182,1),(184,1),(186,1),(204,1)}
       167:{2,4,6}:{(144,1),(145,1),(149,1),(183,1),(184,1),(185,1)}
       168:{2,4,6,7}:{(146,1),(147,1),(150,1),(184,1),(186,1),(189,1),(205,1),(206,1)}
       169:{2,5}:{(147,1),(151,1)}
       170:{4,7}:{(148,1),(149,1)}
       171:{4,5}:{(149,1),(151,1)}
       172:{3,5,7}:{(150,1),(151,1),(159,1),(186,1),(187,1),(188,1)}
       173:{2,3,7}:{(152,1),(153,1),(155,1),(189,1)}
       174:{2,4,6}:{(153,1),(154,1),(156,1),(189,1),(190,1),(206,1)}
       175:{3,4,7}:{(155,1),(156,1),(157,1),(189,1),(191,1)}
       176:{3,5}:{(156,1),(158,1),(190,1)}
       177:{1,4,5,7}:{(157,1),(158,1),(159,1),(187,1),(191,1),(192,1)}
       178:{1,5,6}:{(159,1),(188,1),(192,1),(209,1)}
       179:{1,2,7}:{(160,1),(161,1),(193,1)}
       180:{1,3,6}:{(161,1),(162,1),(164,1),(193,1),(194,1)}
       181:{1,4}:{(162,1),(165,1)}
       182:{3,7}:{(163,1),(164,1)}
       183:{3,4,6}:{(164,1),(165,1),(167,1),(194,1),(195,1),(196,1),(208,1)}
       184:{2,4,7}:{(166,1),(167,1),(170,1),(195,1)}
       185:{2,4,5}:{(167,1),(169,1),(171,1),(196,1)}
       186:{2,5,7}:{(168,1),(169,1),(172,1),(198,1)}
       187:{4,5,7}:{(170,1),(171,1),(172,1),(199,1)}
       188:{3,5,6}:{(172,1),(178,1),(198,1),(199,1),(201,1),(208,1)}
       189:{2,4,7}:{(173,1),(174,1),(175,1),(200,1)}
       190:{2,5}:{(174,1),(176,1)}
       191:{3,5,7}:{(175,1),(176,1),(177,1),(200,1),(201,1)}
       192:{1,4,6}:{(177,1),(178,1),(199,1),(201,1)}
       193:{1,3,7}:{(179,1),(180,1),(182,1),(202,1)}
       194:{1,4,6}:{(180,1),(181,1),(183,1),(202,1),(203,1),(209,1)}
       195:{3,4,7}:{(182,1),(183,1),(184,1),(202,1),(204,1)}
       196:{3,5}:{(183,1),(185,1),(203,1)}
       197:{2,4,5,7}:{(184,1),(185,1),(186,1),(187,1),(204,1),(205,1)}
       198:{2,5,6}:{(186,1),(188,1),(205,1),(206,1)}
       199:{4,6}:{(187,1),(188,1)}
       200:{2,5,7}:{(189,1),(190,1),(191,1),(206,1)}
       201:{3,6}:{(191,1),(192,1),(206,1)}
       202:{1,4,7}:{(193,1),(194,1),(195,1),(207,1)}
       203:{1,5}:{(194,1),(196,1)}
       204:{3,5,7}:{(195,1),(196,1),(197,1),(207,1),(208,1)}
       205:{2,4,6}:{(197,1),(198,1),(199,1),(208,1)}
       206:{2,6}:{(200,1),(201,1)}
       207:{1,5,7}:{(202,1),(203,1),(204,1),(209,1)}
       208:{3,6}:{(204,1),(205,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

1301 :   0:{1,2,3}:{(4,1)}
         1:{2,3,4}:{(4,1),(5,1),(24,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(8,1),(10,1),(15,1),(33,1),(38,1),(42,1)}
         3:{3,4,5}:{(11,1),(12,1),(13,1),(42,1),(71,1)}
         4:{1,2,4}:{(0,1),(1,1),(14,1),(15,1)}
         5:{2,3,5}:{(1,1),(11,1),(15,1),(16,1),(42,1)}
         6:{1,2,3}:{(17,1)}
         7:{1,3,4}:{(17,1),(18,1),(24,1)}
         8:{1,2,3,6}:{(2,1),(19,1),(21,1),(30,1),(50,1),(60,1)}
         9:{4,5,6}:{(22,1),(23,1),(83,1),(97,1)}
        10:{1,2,4}:{(2,1),(24,1)}
        11:{2,4,5}:{(3,1),(5,1),(26,1)}
        12:{1,4,5}:{(3,1),(18,1),(27,1)}
        13:{3,4,6}:{(3,1),(22,1),(26,1),(27,1),(28,1),(60,1),(83,1)}
        14:{1,3,4}:{(4,1),(24,1),(29,1)}
        15:{1,2,5}:{(4,1),(5,1),(29,1),(30,1)}
        16:{2,3,6}:{(5,1),(26,1),(30,1),(31,1),(60,1)}
        17:{1,2,4}:{(6,1),(7,1),(32,1),(33,1)}
        18:{1,3,5}:{(7,1),(12,1),(33,1),(34,1),(42,1)}
        19:{1,2,3,7}:{(8,1),(35,1),(48,1),(66,1),(75,1)}
        20:{5,6,7}:{(36,1),(102,1)}
        21:{1,2,4,6}:{(8,1),(10,1),(35,1),(37,1),(38,1),(68,1)}
        22:{3,5,6}:{(9,1),(13,1),(39,1),(40,1),(41,1)}
        23:{4,5,7}:{(9,1),(36,1),(41,1),(93,1),(102,1)}
        24:{3,4}:{(10,1),(42,1)}
        25:{1,2,4,5}:{(10,1),(11,1),(12,1),(15,1),(33,1),(38,1),(42,1),(43,1),(46,1),(64,1),(71,1)}
        26:{2,4,6}:{(11,1),(13,1),(16,1),(39,1),(44,1)}
        27:{1,4,6}:{(12,1),(13,1),(34,1),(40,1),(45,1)}
        28:{3,4,7}:{(13,1),(41,1),(44,1),(45,1),(75,1),(93,1)}
        29:{1,3,5}:{(14,1),(15,1),(42,1),(46,1),(47,1)}
        30:{1,2,6}:{(15,1),(16,1),(47,1),(48,1)}
        31:{2,3,7}:{(16,1),(44,1),(48,1),(75,1)}
        32:{2,3,4}:{(17,1),(24,1),(49,1)}
        33:{1,2,5}:{(17,1),(18,1),(49,1),(50,1)}
        34:{1,3,6}:{(18,1),(27,1),(50,1),(51,1),(60,1)}
        35:{1,2,4,7}:{(19,1),(21,1),(52,1),(53,1)}
        36:{4,6,7}:{(20,1),(23,1),(54,1)}
        37:{3,4,6}:{(21,1),(24,1),(52,1),(55,1),(60,1),(81,1),(83,1)}
        38:{1,2,5}:{(21,1),(55,1)}
        39:{2,5,6}:{(22,1),(26,1),(57,1)}
        40:{1,5,6}:{(22,1),(27,1),(58,1)}
        41:{3,5,7}:{(22,1),(23,1),(28,1),(54,1),(57,1),(58,1)}
        42:{3,5}:{(24,1),(25,1),(60,1)}
        43:{1,2,4,6}:{(25,1),(26,1),(27,1),(30,1),(50,1),(56,1),(60,1),(61,1),(62,1),(78,1),(83,1)}
        44:{2,4,7}:{(26,1),(28,1),(31,1),(57,1)}
        45:{1,4,7}:{(27,1),(28,1),(51,1),(58,1)}
        46:{1,4,5}:{(29,1),(59,1),(62,1)}
        47:{1,3,6}:{(29,1),(30,1),(60,1),(62,1),(63,1)}
        48:{1,2,7}:{(30,1),(31,1),(63,1)}
        49:{2,3,5}:{(32,1),(33,1),(42,1),(64,1),(65,1)}
        50:{1,2,6}:{(33,1),(34,1),(65,1),(66,1)}
        51:{1,3,7}:{(34,1),(45,1),(66,1),(75,1)}
        52:{3,4,7}:{(35,1),(37,1),(67,1),(75,1),(93,1)}
        53:{1,2,5,7}:{(35,1),(38,1),(67,1),(68,1)}
        54:{3,6,7}:{(36,1),(41,1),(69,1),(70,1)}
        55:{3,5}:{(37,1),(38,1),(71,1)}
        56:{1,2,5,6}:{(38,1),(39,1),(40,1),(43,1),(68,1),(72,1),(73,1),(76,1),(88,1)}
        57:{2,5,7}:{(39,1),(41,1),(44,1),(69,1)}
        58:{1,5,7}:{(40,1),(41,1),(45,1),(70,1)}
        59:{3,4,5}:{(42,1),(46,1),(64,1),(71,1),(74,1)}
        60:{3,6}:{(42,1),(43,1),(75,1)}
        61:{1,2,4,7}:{(43,1),(44,1),(45,1),(48,1),(66,1),(73,1),(75,1),(77,1),(89,1),(93,1)}
        62:{1,4,6}:{(46,1),(47,1),(74,1),(76,1),(77,1)}
        63:{1,3,7}:{(47,1),(48,1),(75,1),(77,1)}
        64:{2,4,5}:{(49,1),(59,1),(78,1)}
        65:{2,3,6}:{(49,1),(50,1),(60,1),(78,1),(79,1)}
        66:{1,2,7}:{(50,1),(51,1),(79,1)}
        67:{3,5,7}:{(52,1),(53,1),(55,1),(80,1),(81,1)}
        68:{1,2,6}:{(53,1),(81,1)}
        69:{2,6,7}:{(54,1),(57,1)}
        70:{1,6,7}:{(54,1),(58,1)}
        71:{4,5}:{(55,1),(83,1)}
        72:{3,5,6}:{(55,1),(56,1),(60,1),(81,1),(83,1),(84,1),(97,1)}
        73:{1,2,5,7}:{(56,1),(57,1),(58,1),(61,1),(82,1),(84,1),(87,1),(96,1)}
        74:{3,4,6}:{(59,1),(60,1),(62,1),(78,1),(83,1),(85,1),(86,1)}
        75:{3,7}:{(60,1),(61,1)}
        76:{1,5,6}:{(62,1),(85,1),(87,1)}
        77:{1,4,7}:{(62,1),(63,1),(86,1),(87,1)}
        78:{2,4,6}:{(64,1),(65,1),(74,1),(88,1),(89,1)}
        79:{2,3,7}:{(65,1),(66,1),(75,1),(89,1)}
        80:{4,5,7}:{(67,1),(71,1),(90,1),(93,1),(102,1)}
        81:{3,6}:{(67,1),(68,1),(90,1)}
        82:{1,2,6,7}:{(68,1),(69,1),(70,1),(73,1),(91,1),(95,1),(101,1)}
        83:{4,6}:{(71,1),(72,1),(93,1)}
        84:{3,5,7}:{(72,1),(73,1),(75,1),(91,1),(93,1),(102,1)}
        85:{3,5,6}:{(74,1),(76,1),(88,1),(92,1),(94,1)}
        86:{3,4,7}:{(74,1),(75,1),(77,1),(89,1),(93,1),(94,1)}
        87:{1,5,7}:{(76,1),(77,1),(94,1),(95,1)}
        88:{2,5,6}:{(78,1),(85,1),(96,1)}
        89:{2,4,7}:{(78,1),(79,1),(86,1),(96,1)}
        90:{4,6}:{(80,1),(81,1),(97,1)}
        91:{3,6,7}:{(81,1),(82,1),(84,1),(98,1)}
        92:{4,5,6}:{(83,1),(85,1),(97,1),(99,1)}
        93:{4,7}:{(83,1),(84,1)}
        94:{3,5,7}:{(85,1),(86,1),(87,1),(96,1),(99,1),(100,1)}
        95:{1,6,7}:{(87,1),(100,1)}
        96:{2,5,7}:{(88,1),(89,1),(94,1),(101,1)}
        97:{5,6}:{(90,1),(102,1)}
        98:{4,6,7}:{(90,1),(91,1),(93,1),(102,1)}
        99:{4,5,7}:{(92,1),(93,1),(94,1),(102,1),(103,1)}
       100:{3,6,7}:{(94,1),(95,1),(101,1),(103,1)}
       101:{2,6,7}:{(96,1),(100,1)}
       102:{5,7}:{(97,1),(98,1)}
       103:{4,6,7}:{(99,1),(100,1),(104,1)}
       104:{5,6,7}:{(102,1),(103,1)}

1302 :   0:{2,3,4,6}:{(4,1),(5,1),(6,1),(10,1),(39,1),(40,1),(43,1),(75,1),(124,1)}
         1:{1,3,5,6}:{(7,1),(8,1),(9,1),(31,1),(35,1),(40,1),(77,1),(83,1),(84,1),(125,1),(129,1)}
         2:{2,3,5,6}:{(5,1),(7,1),(10,1),(11,1),(12,1),(39,1),(40,1),(87,1),(129,1)}
         3:{2,4,5,6}:{(10,1),(12,1),(13,1),(87,1),(133,1)}
         4:{1,2,4,6}:{(0,1),(14,1),(15,1),(16,1),(52,1),(56,1),(102,1)}
         5:{2,3,5}:{(0,1),(15,1),(18,1),(54,1),(57,1),(145,1)}
         6:{2,3,4,7}:{(0,1),(16,1),(19,1),(26,1),(65,1),(67,1),(101,1),(206,1)}
         7:{1,2,5,6}:{(1,1),(2,1),(15,1),(20,1),(21,1),(28,1),(56,1),(57,1),(108,1)}
         8:{1,4,6}:{(1,1),(17,1),(22,1),(23,1),(52,1),(149,1)}
         9:{1,3,5,7}:{(1,1),(21,1),(23,1),(24,1),(58,1),(65,1),(69,1),(115,1)}
        10:{2,4,6}:{(2,1),(18,1),(25,1),(26,1),(149,1)}
        11:{2,3,5,7}:{(2,1),(21,1),(26,1),(27,1),(29,1),(65,1),(72,1),(115,1)}
        12:{3,5,6}:{(3,1),(25,1),(28,1),(29,1)}
        13:{2,4,5,7}:{(3,1),(26,1),(29,1),(30,1),(72,1),(119,1)}
        14:{1,3,6}:{(4,1),(31,1),(32,1),(40,1)}
        15:{1,2,5}:{(4,1),(5,1),(31,1),(125,1)}
        16:{1,2,4,7}:{(4,1),(6,1),(32,1),(34,1),(76,1),(208,1)}
        17:{1,4,5}:{(8,1),(35,1),(125,1),(162,1)}
        18:{2,4,5}:{(5,1),(10,1),(37,1),(162,1)}
        19:{2,3,5,7}:{(5,1),(6,1),(34,1),(38,1),(39,1),(80,1),(82,1),(193,1),(203,1)}
        20:{1,2,4,6}:{(7,1),(8,1),(10,1),(33,1),(40,1),(41,1),(43,1),(46,1),(88,1)}
        21:{1,2,5,7}:{(7,1),(9,1),(11,1),(41,1),(42,1),(49,1),(82,1)}
        22:{3,4,6}:{(8,1),(35,1),(40,1),(43,1),(44,1),(75,1),(83,1)}
        23:{1,4,7}:{(8,1),(9,1),(44,1),(137,1)}
        24:{1,3,6,7}:{(9,1),(42,1),(45,1),(77,1),(83,1),(91,1),(192,1)}
        25:{3,4,6}:{(10,1),(12,1),(37,1),(40,1),(46,1),(47,1)}
        26:{2,4,7}:{(10,1),(11,1),(47,1),(137,1)}
        27:{2,3,6,7}:{(11,1),(39,1),(42,1),(48,1),(50,1),(91,1),(193,1)}
        28:{1,5,6}:{(12,1),(46,1),(49,1)}
        29:{3,5,7}:{(12,1),(13,1),(47,1),(49,1),(50,1)}
        30:{2,4,6,7}:{(13,1),(50,1),(51,1),(98,1)}
        31:{1,3,5}:{(14,1),(15,1),(52,1),(54,1)}
        32:{1,3,7}:{(14,1),(16,1),(65,1),(209,1)}
        33:{1,2,4,5}:{(15,1),(17,1),(18,1),(20,1),(52,1),(54,1),(57,1),(60,1),(100,1),(103,1)}
        34:{1,2,5,7}:{(15,1),(16,1),(19,1),(53,1),(56,1),(200,1),(207,1)}
        35:{3,5}:{(17,1),(22,1),(57,1)}
        36:{1,4,5,7}:{(17,1),(23,1),(58,1),(59,1),(69,1),(117,1)}
        37:{3,4,5}:{(18,1),(25,1),(54,1),(60,1)}
        38:{2,4,5,7}:{(18,1),(19,1),(26,1),(61,1),(62,1),(72,1),(183,1),(196,1)}
        39:{2,3,6}:{(19,1),(56,1),(62,1),(106,1),(108,1)}
        40:{3,6}:{(20,1),(54,1),(65,1)}
        41:{1,2,4,7}:{(20,1),(21,1),(23,1),(26,1),(65,1),(67,1),(70,1),(112,1)}
        42:{1,2,6,7}:{(21,1),(24,1),(27,1),(56,1),(73,1),(108,1),(200,1)}
        43:{2,4,6}:{(22,1),(57,1),(64,1),(67,1),(100,1),(108,1)}
        44:{3,4,7}:{(22,1),(23,1),(58,1),(65,1),(67,1)}
        45:{1,4,6,7}:{(23,1),(24,1),(59,1),(68,1),(69,1),(102,1),(180,1),(184,1)}
        46:{1,4,6}:{(25,1),(28,1),(60,1),(63,1),(70,1)}
        47:{3,4,7}:{(25,1),(26,1),(29,1),(65,1),(70,1)}
        48:{2,4,6,7}:{(26,1),(27,1),(62,1),(71,1),(72,1),(157,1),(183,1)}
        49:{1,5,7}:{(28,1),(29,1),(70,1),(73,1)}
        50:{3,6,7}:{(29,1),(30,1),(73,1)}
        51:{2,5,6,7}:{(30,1),(72,1),(74,1),(157,1)}
        52:{1,4}:{(31,1),(75,1)}
        53:{1,3,5,7}:{(31,1),(32,1),(34,1),(76,1),(77,1),(80,1),(125,1),(171,1),(192,1),(202,1)}
        54:{3,5}:{(33,1),(40,1),(75,1)}
        55:{1,2,4,5,7}:{(33,1),(34,1),(36,1),(38,1),(41,1),(76,1),(80,1),(81,1),(82,1),(85,1),(92,1),(123,1),(125,1),(126,1),(137,1),(138,1),(161,1),(162,1),(168,1),(171,1),(186,1)}
        56:{1,2,6}:{(34,1),(39,1),(77,1)}
        57:{2,5}:{(35,1),(43,1)}
        58:{3,5,7}:{(35,1),(36,1),(44,1),(82,1),(83,1)}
        59:{1,4,6}:{(36,1),(83,1),(84,1),(131,1)}
        60:{1,4,5}:{(37,1),(46,1),(78,1)}
        61:{3,4,5,7}:{(37,1),(38,1),(47,1),(80,1),(85,1),(86,1),(96,1),(137,1),(162,1),(169,1),(187,1)}
        62:{2,4,6}:{(38,1),(39,1),(86,1),(87,1)}
        63:{1,3,6}:{(40,1),(46,1),(78,1),(88,1),(89,1)}
        64:{2,3,6}:{(40,1),(43,1),(79,1),(88,1),(90,1)}
        65:{3,7}:{(40,1),(41,1)}
        66:{1,2,4,6,7}:{(41,1),(42,1),(45,1),(48,1),(81,1),(91,1),(92,1),(93,1),(95,1),(134,1),(137,1),(168,1)}
        67:{2,4,7}:{(43,1),(44,1),(82,1),(90,1)}
        68:{3,4,6,7}:{(44,1),(45,1),(83,1),(91,1),(93,1),(94,1),(124,1),(131,1),(137,1),(166,1),(170,1)}
        69:{1,5,7}:{(45,1),(84,1),(94,1),(125,1)}
        70:{1,4,7}:{(46,1),(47,1),(49,1),(89,1)}
        71:{3,4,6,7}:{(47,1),(48,1),(50,1),(86,1),(91,1),(95,1),(96,1),(98,1),(137,1),(140,1),(169,1)}
        72:{2,5,7}:{(48,1),(87,1),(96,1)}
        73:{1,6,7}:{(49,1),(50,1)}
        74:{3,5,6,7}:{(50,1),(51,1),(96,1),(97,1),(98,1),(140,1)}
        75:{3,4}:{(52,1),(54,1),(100,1)}
        76:{1,4,7}:{(52,1),(53,1),(101,1),(102,1),(205,1)}
        77:{1,3,6}:{(53,1),(56,1),(102,1),(106,1),(180,1)}
        78:{1,3,5}:{(54,1),(60,1),(63,1),(99,1),(103,1)}
        79:{2,3,5}:{(54,1),(57,1),(64,1),(100,1),(103,1),(141,1)}
        80:{3,5,7}:{(54,1),(55,1),(65,1),(101,1),(106,1),(145,1),(182,1),(195,1)}
        81:{1,2,4,6}:{(55,1),(56,1),(59,1),(62,1),(102,1),(106,1),(107,1),(108,1),(110,1),(144,1),(146,1),(149,1),(150,1),(180,1)}
        82:{2,5,7}:{(57,1),(58,1),(67,1),(108,1)}
        83:{3,6}:{(58,1),(59,1),(108,1)}
        84:{1,5,6}:{(59,1),(69,1),(109,1),(180,1)}
        85:{1,4,5,7}:{(60,1),(61,1),(70,1),(104,1),(110,1),(118,1),(153,1),(175,1)}
        86:{3,4,6}:{(61,1),(62,1),(106,1),(110,1),(111,1),(149,1)}
        87:{2,5,6}:{(62,1),(72,1),(111,1)}
        88:{1,2,6}:{(63,1),(64,1),(103,1),(112,1)}
        89:{1,3,7}:{(63,1),(65,1),(70,1),(112,1)}
        90:{2,3,7}:{(64,1),(65,1),(67,1),(112,1)}
        91:{3,6,7}:{(65,1),(66,1),(106,1),(115,1),(182,1)}
        92:{1,2,5,7}:{(66,1),(69,1),(72,1),(107,1),(115,1),(116,1),(118,1)}
        93:{2,4,6,7}:{(67,1),(68,1),(108,1),(114,1),(116,1),(144,1),(150,1),(154,1)}
        94:{3,5,7}:{(68,1),(69,1),(109,1),(116,1),(117,1),(145,1)}
        95:{1,4,6,7}:{(70,1),(71,1),(73,1),(110,1),(113,1),(118,1),(153,1)}
        96:{3,5,7}:{(71,1),(72,1),(111,1),(118,1),(119,1)}
        97:{1,5,6,7}:{(73,1),(74,1),(118,1),(120,1)}
        98:{4,6,7}:{(74,1),(119,1)}
        99:{1,3,4}:{(75,1),(78,1),(121,1)}
       100:{2,4}:{(75,1),(79,1)}
       101:{3,4,7}:{(75,1),(76,1),(80,1),(123,1),(124,1),(137,1),(201,1)}
       102:{1,4,6}:{(76,1),(77,1),(124,1),(125,1)}
       103:{1,2,5}:{(78,1),(79,1),(88,1),(121,1)}
       104:{1,3,5,7}:{(78,1),(80,1),(85,1),(89,1),(122,1),(126,1),(127,1),(160,1),(171,1)}
       105:{2,3,5,7}:{(79,1),(80,1),(82,1),(90,1),(123,1),(126,1),(128,1),(158,1),(161,1),(185,1)}
       106:{3,6}:{(80,1),(81,1)}
       107:{1,2,5,6}:{(81,1),(84,1),(87,1),(92,1),(125,1),(129,1),(130,1),(132,1),(161,1)}
       108:{2,6}:{(82,1),(83,1)}
       109:{3,5,6}:{(83,1),(84,1),(94,1),(130,1),(131,1),(166,1)}
       110:{1,4,6}:{(85,1),(86,1),(127,1),(132,1)}
       111:{3,5,6}:{(86,1),(87,1),(96,1),(132,1),(133,1)}
       112:{1,2,7}:{(88,1),(89,1),(90,1)}
       113:{1,3,6,7}:{(89,1),(91,1),(95,1),(127,1),(134,1),(135,1),(140,1)}
       114:{2,3,6,7}:{(90,1),(91,1),(93,1),(128,1),(134,1),(136,1),(166,1)}
       115:{3,5,7}:{(91,1),(92,1),(129,1),(137,1)}
       116:{2,5,7}:{(93,1),(94,1),(130,1),(161,1)}
       117:{4,5,7}:{(94,1),(131,1),(137,1),(162,1)}
       118:{1,5,7}:{(95,1),(96,1),(132,1)}
       119:{4,5,7}:{(96,1),(98,1),(133,1),(137,1)}
       120:{1,4,6,7}:{(97,1),(98,1),(139,1),(140,1)}
       121:{1,2,4}:{(99,1),(100,1),(103,1),(141,1)}
       122:{1,3,4,7}:{(99,1),(101,1),(104,1),(142,1),(143,1),(153,1),(182,1),(184,1)}
       123:{2,4,7}:{(100,1),(101,1),(105,1),(144,1),(194,1)}
       124:{3,4,6}:{(101,1),(102,1),(106,1),(144,1),(145,1),(149,1)}
       125:{1,5}:{(102,1),(145,1)}
       126:{1,2,5,7}:{(103,1),(104,1),(105,1),(112,1),(142,1),(146,1),(174,1)}
       127:{1,3,6}:{(104,1),(106,1),(110,1),(146,1),(180,1)}
       128:{2,3,6}:{(105,1),(106,1),(108,1),(144,1),(146,1)}
       129:{3,5,6}:{(106,1),(107,1),(115,1),(145,1),(149,1)}
       130:{2,5,6}:{(108,1),(109,1),(116,1),(150,1)}
       131:{4,6}:{(109,1),(117,1)}
       132:{1,5,6}:{(110,1),(111,1),(118,1)}
       133:{4,5,6}:{(111,1),(119,1),(149,1)}
       134:{1,2,6,7}:{(112,1),(113,1),(114,1),(146,1),(152,1),(157,1),(180,1)}
       135:{1,3,5,7}:{(113,1),(115,1),(118,1),(147,1),(152,1),(153,1),(156,1),(182,1)}
       136:{2,3,5,7}:{(114,1),(115,1),(116,1),(148,1),(152,1),(154,1),(155,1),(182,1)}
       137:{4,7}:{(115,1),(149,1)}
       138:{2,4,5,7}:{(116,1),(117,1),(150,1),(154,1),(155,1),(176,1)}
       139:{1,4,5,7}:{(118,1),(119,1),(120,1),(151,1),(153,1),(156,1)}
       140:{3,6,7}:{(120,1),(156,1),(157,1)}
       141:{2,3}:{(121,1)}
       142:{1,2,4,7}:{(121,1),(122,1),(123,1),(126,1),(158,1),(159,1)}
       143:{1,3,4,6}:{(122,1),(124,1),(127,1),(159,1),(160,1),(164,1),(189,1),(191,1),(201,1)}
       144:{2,4,6}:{(123,1),(124,1),(128,1),(161,1)}
       145:{3,5}:{(124,1),(125,1),(161,1),(162,1)}
       146:{1,2,6}:{(126,1),(127,1),(128,1)}
       147:{1,3,5,6}:{(127,1),(129,1),(132,1),(135,1),(160,1),(163,1),(164,1),(167,1),(189,1)}
       148:{2,3,5,6}:{(128,1),(129,1),(130,1),(136,1),(161,1),(163,1),(165,1),(166,1),(185,1),(188,1),(189,1)}
       149:{4,6}:{(129,1),(137,1),(162,1)}
       150:{2,4,6}:{(130,1),(131,1),(138,1),(166,1)}
       151:{1,4,5,6}:{(132,1),(133,1),(139,1),(164,1),(167,1)}
       152:{1,2,5,7}:{(134,1),(135,1),(136,1),(163,1),(168,1),(171,1),(172,1)}
       153:{1,4,7}:{(135,1),(137,1),(164,1),(169,1)}
       154:{2,4,7}:{(136,1),(137,1),(165,1),(170,1)}
       155:{3,5,7}:{(138,1),(166,1),(170,1),(171,1),(188,1)}
       156:{3,5,7}:{(139,1),(140,1),(167,1),(169,1),(172,1)}
       157:{2,6,7}:{(140,1),(172,1)}
       158:{2,3,7}:{(141,1),(142,1),(173,1),(182,1)}
       159:{1,2,4,6}:{(142,1),(143,1),(144,1),(146,1),(173,1),(174,1),(194,1)}
       160:{1,3,5}:{(143,1),(145,1),(174,1),(175,1),(195,1),(197,1)}
       161:{2,5}:{(144,1),(145,1)}
       162:{4,5}:{(145,1),(149,1)}
       163:{1,2,5,6}:{(146,1),(147,1),(148,1),(152,1),(174,1),(177,1),(180,1),(181,1),(197,1)}
       164:{1,4,6}:{(147,1),(149,1),(153,1),(175,1),(178,1)}
       165:{2,4,6}:{(148,1),(149,1),(154,1),(176,1),(179,1),(194,1)}
       166:{3,6}:{(150,1),(155,1),(180,1)}
       167:{3,5,6}:{(151,1),(156,1),(178,1),(181,1)}
       168:{1,2,4,7}:{(152,1),(153,1),(154,1),(177,1),(182,1),(183,1),(184,1),(200,1)}
       169:{3,4,7}:{(153,1),(156,1),(178,1),(182,1),(183,1)}
       170:{3,4,7}:{(154,1),(155,1),(179,1),(182,1),(184,1)}
       171:{1,5,7}:{(155,1),(180,1),(184,1),(197,1)}
       172:{2,5,7}:{(156,1),(157,1),(181,1),(183,1)}
       173:{2,3,6}:{(158,1),(159,1),(185,1),(189,1)}
       174:{1,2,5}:{(159,1),(160,1),(161,1),(185,1)}
       175:{1,4,5}:{(160,1),(162,1),(164,1),(187,1)}
       176:{2,4,5}:{(161,1),(162,1),(165,1),(188,1)}
       177:{1,2,4,6}:{(163,1),(164,1),(165,1),(168,1),(186,1),(189,1),(190,1),(191,1),(204,1)}
       178:{3,4,6}:{(164,1),(167,1),(169,1),(187,1),(189,1),(190,1)}
       179:{3,4,6}:{(165,1),(166,1),(170,1),(188,1),(189,1),(191,1),(201,1)}
       180:{1,6}:{(166,1),(171,1)}
       181:{2,5,6}:{(167,1),(172,1),(190,1)}
       182:{3,7}:{(168,1),(189,1)}
       183:{2,4,7}:{(169,1),(172,1),(190,1),(193,1)}
       184:{1,4,7}:{(170,1),(171,1),(191,1),(192,1)}
       185:{2,3,5}:{(173,1),(174,1),(194,1),(195,1)}
       186:{1,2,4,5}:{(174,1),(175,1),(176,1),(177,1),(194,1),(195,1),(196,1),(197,1),(205,1),(207,1)}
       187:{3,4,5}:{(175,1),(178,1),(195,1),(196,1)}
       188:{3,5}:{(176,1),(179,1),(197,1)}
       189:{3,6}:{(177,1),(182,1),(195,1)}
       190:{2,4,6}:{(178,1),(181,1),(183,1),(196,1),(199,1)}
       191:{1,4,6}:{(179,1),(180,1),(184,1),(197,1),(198,1),(205,1)}
       192:{1,3,7}:{(182,1),(184,1),(198,1),(200,1)}
       193:{2,3,7}:{(182,1),(183,1),(199,1),(200,1)}
       194:{2,4}:{(185,1),(201,1)}
       195:{3,5}:{(186,1),(189,1),(201,1)}
       196:{2,4,5}:{(187,1),(190,1),(203,1)}
       197:{1,5}:{(188,1),(191,1)}
       198:{1,3,6}:{(189,1),(191,1),(192,1),(202,1),(204,1)}
       199:{2,3,6}:{(189,1),(190,1),(193,1),(203,1),(204,1)}
       200:{1,2,7}:{(192,1),(193,1),(204,1)}
       201:{3,4}:{(194,1),(195,1),(205,1)}
       202:{1,3,5}:{(195,1),(197,1),(198,1),(205,1),(207,1),(209,1)}
       203:{2,3,5}:{(195,1),(196,1),(199,1),(206,1),(207,1)}
       204:{1,2,6}:{(198,1),(199,1),(200,1),(207,1)}
       205:{1,4}:{(201,1),(202,1)}
       206:{2,3,4}:{(201,1),(203,1),(208,1)}
       207:{1,2,5}:{(202,1),(203,1),(204,1),(208,1)}
       208:{1,2,4}:{(205,1),(206,1),(207,1),(209,1)}
       209:{1,3}:{(208,1)}

1303 :   0:{1,2,4,5,6}:{(2,1),(3,1),(17,1),(18,1),(22,1),(40,1),(44,1),(76,1),(77,1),(78,1),(98,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(5,1),(7,1),(69,1),(70,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(31,1),(33,1),(34,1),(38,1),(69,1),(70,1)}
         3:{3,5,6}:{(0,1),(6,1),(8,1),(63,1),(90,1),(102,1)}
         4:{2,3,4,6}:{(12,1),(13,1),(14,1),(18,1),(45,1),(55,1),(80,1),(97,1)}
         5:{3,5,6,7}:{(1,1),(15,1),(19,1),(51,1),(96,1)}
         6:{3,4,6}:{(3,1),(11,1),(16,1),(17,1),(18,1),(55,1),(80,1)}
         7:{1,2,4,6,7}:{(1,1),(2,1),(15,1),(19,1),(52,1),(53,1),(56,1),(78,1)}
         8:{3,5,7}:{(2,1),(3,1),(16,1),(19,1)}
         9:{1,3,5,6}:{(3,1),(17,1),(20,1),(22,1),(39,1),(47,1),(55,1),(73,1),(76,1),(81,1),(96,1),(98,1)}
        10:{2,3,5,6}:{(3,1),(12,1),(18,1),(21,1),(22,1),(45,1),(55,1),(75,1),(77,1),(94,1),(96,1),(103,1)}
        11:{3,4,5}:{(6,1),(24,1),(25,1),(63,1),(102,1)}
        12:{2,3,5}:{(4,1),(25,1),(27,1),(63,1),(102,1)}
        13:{2,3,4,7}:{(4,1),(26,1),(28,1),(34,1),(72,1),(91,1)}
        14:{1,2,4,6}:{(4,1),(27,1),(28,1),(29,1),(64,1),(66,1),(92,1)}
        15:{4,6,7}:{(5,1),(31,1),(101,1)}
        16:{3,4,7}:{(6,1),(8,1),(33,1),(34,1),(72,1)}
        17:{1,4,6}:{(6,1),(9,1),(24,1),(33,1),(66,1),(101,1)}
        18:{2,4,6}:{(6,1),(10,1),(25,1),(34,1),(88,1),(101,1)}
        19:{3,6,7}:{(7,1),(8,1),(90,1)}
        20:{1,3,5,7}:{(8,1),(9,1),(33,1),(36,1),(38,1),(69,1),(72,1),(93,1)}
        21:{2,3,5,7}:{(8,1),(10,1),(34,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        22:{1,2,5,6}:{(9,1),(10,1),(27,1),(35,1),(38,1),(58,1),(64,1),(86,1)}
        23:{3,4,5,7}:{(11,1),(16,1),(41,1),(42,1),(43,1),(51,1),(79,1),(99,1),(104,1)}
        24:{1,4,5}:{(11,1),(17,1),(39,1),(98,1),(104,1)}
        25:{2,4,5}:{(11,1),(12,1),(18,1),(103,1),(104,1)}
        26:{2,3,5,7}:{(12,1),(13,1),(43,1),(45,1),(46,1),(79,1)}
        27:{1,2,5}:{(12,1),(14,1),(47,1),(98,1)}
        28:{1,2,4,7}:{(13,1),(14,1),(46,1),(48,1),(82,1)}
        29:{1,3,6}:{(14,1),(47,1),(48,1),(55,1)}
        30:{1,3,4,6}:{(17,1),(39,1),(49,1),(50,1),(55,1),(73,1),(80,1),(97,1)}
        31:{4,5,7}:{(15,1),(40,1),(51,1),(99,1),(104,1)}
        32:{3,4,6,7}:{(15,1),(16,1),(19,1),(41,1),(51,1),(52,1),(53,1),(85,1),(97,1),(99,1)}
        33:{1,4,7}:{(16,1),(17,1),(20,1),(99,1)}
        34:{2,4,7}:{(16,1),(18,1),(21,1),(99,1)}
        35:{1,2,4,6}:{(17,1),(18,1),(22,1),(44,1),(54,1),(55,1)}
        36:{1,3,6,7}:{(19,1),(20,1),(52,1),(56,1),(73,1),(81,1),(85,1)}
        37:{2,3,6,7}:{(19,1),(21,1),(45,1),(53,1),(56,1),(85,1),(94,1)}
        38:{1,2,5,7}:{(20,1),(21,1),(22,1),(54,1),(56,1)}
        39:{1,3,5}:{(24,1),(30,1),(58,1),(63,1),(102,1)}
        40:{4,5,6}:{(31,1),(59,1),(101,1)}
        41:{3,4,6}:{(23,1),(59,1),(60,1),(61,1),(90,1),(101,1)}
        42:{1,4,5,7}:{(23,1),(24,1),(33,1),(57,1),(60,1),(69,1)}
        43:{2,4,5,7}:{(23,1),(25,1),(26,1),(34,1),(61,1),(70,1)}
        44:{1,2,4,5}:{(24,1),(25,1),(27,1),(35,1),(58,1),(63,1),(66,1),(88,1)}
        45:{2,3,6}:{(26,1),(61,1),(64,1),(90,1)}
        46:{1,2,5,7}:{(26,1),(27,1),(28,1),(64,1),(65,1)}
        47:{1,3,5}:{(27,1),(29,1),(63,1),(66,1)}
        48:{1,3,7}:{(28,1),(29,1),(72,1)}
        49:{1,3,4,7}:{(30,1),(33,1),(57,1),(67,1),(72,1),(91,1)}
        50:{1,2,4,6}:{(30,1),(58,1),(67,1),(68,1),(86,1),(88,1),(100,1)}
        51:{3,5,7}:{(31,1),(32,1),(59,1),(69,1),(70,1),(102,1)}
        52:{1,4,6,7}:{(32,1),(33,1),(36,1),(60,1),(69,1),(92,1)}
        53:{2,4,6,7}:{(32,1),(34,1),(37,1),(61,1),(70,1),(100,1)}
        54:{1,2,4,7}:{(33,1),(34,1),(35,1),(38,1),(72,1)}
        55:{3,6}:{(35,1),(63,1),(72,1)}
        56:{1,2,6,7}:{(36,1),(37,1),(38,1),(64,1),(86,1)}
        57:{1,3,5,7}:{(39,1),(42,1),(49,1),(73,1),(74,1),(79,1)}
        58:{1,2,5}:{(39,1),(50,1),(75,1),(103,1)}
        59:{3,5,6}:{(40,1),(41,1),(51,1),(76,1),(77,1)}
        60:{1,4,6}:{(41,1),(42,1),(73,1),(76,1)}
        61:{2,4,6}:{(41,1),(43,1),(45,1),(77,1)}
        62:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(46,1),(54,1),(74,1),(78,1),(79,1),(82,1),(84,1),(95,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5}:{(44,1),(55,1),(80,1)}
        64:{1,2,6}:{(45,1),(46,1),(81,1)}
        65:{1,3,5,7}:{(46,1),(47,1),(48,1),(79,1),(81,1),(82,1),(98,1)}
        66:{1,4}:{(47,1),(80,1)}
        67:{1,2,4,7}:{(49,1),(50,1),(74,1),(83,1),(95,1)}
        68:{2,3,6}:{(50,1),(55,1),(75,1),(83,1)}
        69:{1,5,7}:{(51,1),(52,1),(76,1),(98,1)}
        70:{2,5,7}:{(51,1),(53,1),(77,1),(103,1)}
        71:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(56,1),(78,1),(84,1),(85,1),(99,1)}
        72:{3,7}:{(54,1),(55,1)}
        73:{1,3,6}:{(57,1),(60,1),(86,1),(90,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(67,1),(86,1),(87,1)}
        75:{2,3,5}:{(58,1),(63,1),(68,1),(88,1)}
        76:{1,5,6}:{(59,1),(60,1),(69,1)}
        77:{2,5,6}:{(59,1),(61,1),(70,1)}
        78:{1,2,4,6}:{(60,1),(61,1),(62,1),(64,1),(86,1),(89,1),(90,1),(92,1),(100,1),(101,1)}
        79:{3,5,7}:{(62,1),(63,1),(72,1),(90,1),(91,1),(102,1)}
        80:{3,4}:{(63,1),(66,1),(88,1)}
        81:{1,3,6}:{(64,1),(65,1),(90,1),(92,1)}
        82:{1,4,7}:{(65,1),(66,1),(91,1),(92,1)}
        83:{2,3,7}:{(67,1),(68,1),(72,1)}
        84:{1,2,5,7}:{(69,1),(70,1),(71,1),(89,1),(93,1)}
        85:{3,6,7}:{(71,1),(72,1),(90,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(79,1),(83,1),(94,1),(95,1),(103,1)}
        88:{2,4}:{(75,1),(80,1)}
        89:{1,2,5,6}:{(76,1),(77,1),(78,1),(84,1),(96,1),(98,1),(103,1)}
        90:{3,6}:{(78,1),(79,1)}
        91:{3,4,7}:{(79,1),(80,1),(82,1),(95,1),(97,1),(99,1)}
        92:{1,4,6}:{(81,1),(82,1),(97,1),(98,1)}
        93:{3,5,7}:{(84,1),(85,1),(96,1),(99,1)}
        94:{2,3,6}:{(86,1),(87,1),(90,1),(100,1)}
        95:{2,4,7}:{(87,1),(88,1),(91,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(93,1),(101,1),(102,1)}
        97:{3,4,6}:{(90,1),(91,1),(92,1),(100,1),(101,1),(102,1)}
        98:{1,5}:{(92,1),(102,1)}
        99:{4,7}:{(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(95,1),(97,1),(103,1)}
       101:{4,6}:{(96,1),(99,1),(104,1)}
       102:{3,5}:{(97,1),(98,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1304 :   0:{1,3,4,5,7}:{(1,1),(2,1),(12,1),(33,1),(75,1),(89,1),(93,1),(121,1),(131,1),(142,1)}
         1:{1,3,4,6}:{(0,1),(6,1),(7,1),(69,1),(148,1),(158,1),(167,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(20,1),(26,1),(59,1),(66,1),(70,1)}
         3:{1,4,5,6,7}:{(10,1),(39,1),(170,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(39,1),(86,1),(89,1),(139,1)}
         5:{3,4,5,6}:{(11,1),(14,1),(15,1),(47,1),(125,1),(172,1)}
         6:{1,3,5,6}:{(1,1),(12,1),(14,1),(16,1),(47,1),(75,1),(186,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(48,1)}
         8:{2,3,5,7}:{(2,1),(17,1),(18,1),(49,1),(131,1)}
         9:{1,2,3,5,7}:{(8,1),(19,1),(20,1),(53,1),(59,1)}
        10:{3,5,6,7}:{(3,1),(21,1),(23,1),(189,1)}
        11:{3,4,5,7}:{(5,1),(21,1),(24,1),(25,1),(65,1)}
        12:{1,3,5,7}:{(4,1),(6,1),(24,1),(26,1),(65,1),(164,1)}
        13:{1,2,4,6,7}:{(4,1),(7,1),(26,1),(27,1),(66,1)}
        14:{1,4,5,6}:{(5,1),(6,1),(24,1),(98,1),(148,1)}
        15:{2,4,5,6}:{(5,1),(25,1),(28,1),(151,1),(191,1)}
        16:{1,2,5,6}:{(6,1),(7,1),(26,1),(30,1),(59,1)}
        17:{2,3,6}:{(7,1),(8,1),(158,1)}
        18:{2,3,4,7}:{(8,1),(20,1),(31,1),(66,1),(102,1)}
        19:{1,2,3,6}:{(9,1),(17,1),(37,1),(76,1)}
        20:{1,2,4,7}:{(9,1),(18,1),(33,1),(37,1)}
        21:{3,4,6,7}:{(10,1),(11,1),(39,1),(40,1),(86,1),(172,1)}
        22:{1,3,5,6,7}:{(10,1),(12,1),(39,1),(41,1),(86,1),(122,1)}
        23:{2,5,6,7}:{(10,1),(40,1),(202,1)}
        24:{1,4,5,7}:{(11,1),(12,1),(14,1),(39,1)}
        25:{2,4,5,7}:{(11,1),(15,1),(40,1),(42,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(16,1),(44,1)}
        27:{2,3,6,7}:{(13,1),(17,1),(44,1),(86,1)}
        28:{2,3,5,6}:{(15,1),(35,1),(42,1),(46,1),(47,1),(135,1),(180,1)}
        29:{1,2,4,5,6}:{(14,1),(15,1),(16,1),(43,1),(46,1),(47,1),(48,1),(82,1),(92,1),(132,1),(141,1),(186,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(44,1),(47,1),(48,1),(49,1)}
        31:{2,3,4,6}:{(17,1),(18,1),(37,1),(48,1),(49,1),(81,1)}
        32:{2,3,4,5,7}:{(18,1),(38,1),(49,1),(50,1),(90,1),(95,1),(125,1),(131,1),(171,1),(178,1)}
        33:{1,3,4,7}:{(20,1),(52,1),(53,1),(102,1),(154,1)}
        34:{1,2,3,6,7}:{(19,1),(27,1),(55,1),(56,1),(100,1),(111,1),(158,1),(197,1),(198,1)}
        35:{2,3,4,6}:{(28,1),(51,1),(54,1),(57,1),(69,1)}
        36:{1,2,3,5,6}:{(19,1),(30,1),(55,1),(58,1),(59,1),(68,1),(99,1),(104,1),(105,1),(108,1),(158,1),(160,1),(161,1),(197,1)}
        37:{1,2,4,6}:{(19,1),(20,1),(31,1),(52,1),(59,1)}
        38:{1,2,4,5,7}:{(20,1),(32,1),(53,1),(59,1),(60,1),(98,1),(110,1),(154,1)}
        39:{1,4,6,7}:{(21,1),(22,1),(24,1),(148,1)}
        40:{2,4,6,7}:{(21,1),(23,1),(25,1),(61,1),(191,1)}
        41:{1,2,5,6,7}:{(22,1),(23,1),(26,1),(62,1),(63,1),(104,1),(164,1)}
        42:{2,3,5,7}:{(25,1),(28,1),(54,1),(61,1),(64,1),(65,1)}
        43:{1,2,4,5,7}:{(24,1),(25,1),(26,1),(29,1),(62,1),(64,1),(65,1),(66,1),(113,1),(114,1),(164,1)}
        44:{2,3,5,7}:{(26,1),(27,1),(30,1),(65,1),(66,1)}
        45:{2,3,4,6,7}:{(27,1),(31,1),(56,1),(66,1),(67,1),(102,1),(112,1),(116,1),(158,1)}
        46:{1,2,5,6}:{(28,1),(57,1),(64,1),(68,1),(160,1),(197,1)}
        47:{3,5,6}:{(29,1),(65,1),(69,1),(108,1),(158,1)}
        48:{2,4,6}:{(30,1),(66,1),(69,1),(70,1)}
        49:{2,3,5}:{(31,1),(59,1),(70,1),(108,1)}
        50:{2,3,4,6}:{(32,1),(60,1),(71,1),(116,1),(153,1),(158,1),(191,1)}
        51:{2,3,4,5}:{(35,1),(74,1),(93,1),(135,1),(174,1)}
        52:{1,3,4,6}:{(33,1),(37,1),(75,1),(76,1),(81,1),(126,1)}
        53:{1,3,5,7}:{(33,1),(38,1),(75,1),(76,1),(131,1)}
        54:{2,3,4,7}:{(35,1),(42,1),(77,1),(89,1)}
        55:{1,2,3,5,7}:{(34,1),(36,1),(44,1),(78,1),(79,1),(88,1),(127,1),(128,1),(131,1),(179,1),(184,1)}
        56:{1,2,4,6,7}:{(34,1),(37,1),(45,1),(73,1),(78,1),(79,1),(132,1),(139,1),(204,1)}
        57:{1,2,4,6}:{(35,1),(46,1),(74,1),(77,1),(80,1),(92,1)}
        58:{1,2,4,6}:{(36,1),(48,1),(78,1),(81,1),(82,1),(92,1),(126,1),(176,1)}
        59:{1,2,5}:{(37,1),(49,1),(75,1)}
        60:{1,2,4,6}:{(38,1),(50,1),(76,1),(83,1),(126,1)}
        61:{2,3,6,7}:{(40,1),(42,1),(85,1),(86,1),(180,1)}
        62:{1,2,4,6,7}:{(39,1),(40,1),(41,1),(43,1),(85,1),(86,1),(87,1),(132,1),(139,1)}
        63:{2,3,5,6,7}:{(41,1),(44,1),(86,1),(87,1),(91,1),(140,1)}
        64:{1,2,5,7}:{(42,1),(46,1),(77,1),(85,1),(88,1)}
        65:{3,5,7}:{(43,1),(47,1),(86,1),(89,1)}
        66:{2,4,7}:{(44,1),(48,1),(89,1)}
        67:{2,3,5,7}:{(45,1),(49,1),(79,1),(90,1),(91,1),(131,1),(140,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(80,1),(88,1),(92,1),(136,1),(181,1),(186,1)}
        69:{3,4,6}:{(47,1),(48,1),(89,1),(92,1),(93,1)}
        70:{2,4,5}:{(48,1),(49,1),(93,1)}
        71:{2,3,5,6}:{(49,1),(50,1),(83,1),(94,1),(95,1),(137,1),(202,1)}
        72:{2,3,4,6,7}:{(50,1),(84,1),(95,1),(144,1),(178,1),(182,1),(204,1)}
        73:{1,3,4,6,7}:{(52,1),(56,1),(96,1),(100,1),(102,1),(148,1),(154,1),(158,1),(192,1)}
        74:{1,2,4,5}:{(51,1),(57,1),(97,1),(118,1),(150,1),(160,1)}
        75:{1,3,5}:{(52,1),(59,1),(98,1),(108,1)}
        76:{1,3,6}:{(53,1),(60,1),(158,1)}
        77:{1,2,4,7}:{(54,1),(57,1),(64,1),(101,1),(114,1)}
        78:{1,2,4,7}:{(55,1),(58,1),(66,1),(102,1),(114,1),(154,1),(195,1)}
        79:{1,2,5,7}:{(56,1),(59,1),(67,1),(96,1),(104,1),(164,1),(208,1)}
        80:{1,3,6}:{(57,1),(97,1),(101,1)}
        81:{3,4,6}:{(58,1),(102,1),(108,1),(158,1)}
        82:{1,2,4,5}:{(58,1),(59,1),(70,1),(98,1),(108,1),(118,1),(151,1),(160,1)}
        83:{1,2,5,6}:{(59,1),(60,1),(71,1),(99,1),(110,1)}
        84:{1,2,4,6,7}:{(60,1),(72,1),(100,1),(110,1),(154,1)}
        85:{1,2,6,7}:{(61,1),(64,1),(111,1),(197,1)}
        86:{3,6,7}:{(62,1),(65,1),(158,1)}
        87:{2,4,6,7}:{(63,1),(66,1),(112,1),(113,1),(116,1)}
        88:{1,3,5,7}:{(64,1),(65,1),(68,1),(101,1),(111,1),(114,1),(164,1)}
        89:{3,4,7}:{(65,1),(66,1),(69,1),(114,1)}
        90:{2,4,5,7}:{(66,1),(67,1),(70,1),(115,1),(116,1)}
        91:{2,3,5,6}:{(67,1),(104,1),(116,1),(158,1),(165,1)}
        92:{1,4,6}:{(68,1),(69,1),(114,1),(118,1)}
        93:{3,4,5}:{(69,1),(70,1),(108,1),(118,1)}
        94:{2,4,5,6}:{(70,1),(71,1),(116,1),(119,1),(120,1)}
        95:{2,3,5,7}:{(71,1),(72,1),(110,1),(120,1),(163,1),(208,1)}
        96:{1,3,5,7}:{(73,1),(75,1),(79,1),(121,1),(122,1),(131,1),(203,1)}
        97:{1,3,5}:{(74,1),(80,1),(124,1)}
        98:{1,4,5}:{(75,1),(125,1),(126,1)}
        99:{1,3,5,6}:{(75,1),(76,1),(83,1),(126,1),(127,1),(137,1)}
       100:{1,3,6,7}:{(76,1),(84,1),(127,1),(182,1)}
       101:{1,3,7}:{(77,1),(80,1)}
       102:{3,4,7}:{(78,1),(81,1),(131,1)}
       103:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(90,1),(121,1),(131,1),(132,1),(142,1),(171,1),(179,1)}
       104:{1,2,5,6}:{(79,1),(91,1),(122,1),(132,1),(186,1),(202,1)}
       105:{1,2,3,6}:{(80,1),(123,1),(128,1),(134,1),(205,1)}
       106:{2,3,4,6}:{(81,1),(129,1),(134,1),(135,1),(174,1),(176,1),(180,1),(205,1)}
       107:{1,3,4,6}:{(80,1),(81,1),(92,1),(124,1),(130,1),(134,1),(136,1),(181,1)}
       108:{3,5}:{(81,1),(82,1)}
       109:{1,2,4,5,6}:{(82,1),(83,1),(94,1),(126,1),(132,1),(137,1),(138,1),(145,1),(170,1),(176,1),(183,1),(202,1)}
       110:{1,2,5,7}:{(83,1),(84,1),(95,1),(127,1)}
       111:{1,3,6,7}:{(85,1),(86,1),(88,1),(139,1),(181,1)}
       112:{3,4,6,7}:{(86,1),(87,1),(89,1),(139,1),(140,1),(143,1)}
       113:{2,4,5,7}:{(87,1),(140,1),(141,1)}
       114:{1,4,7}:{(88,1),(89,1),(92,1)}
       115:{3,4,5,7}:{(89,1),(90,1),(93,1),(131,1),(140,1),(142,1),(143,1)}
       116:{2,4,6}:{(90,1),(91,1),(143,1)}
       117:{2,3,5,6,7}:{(91,1),(95,1),(133,1),(144,1),(182,1),(187,1)}
       118:{1,4,5}:{(92,1),(93,1),(136,1)}
       119:{3,4,5,6}:{(93,1),(94,1),(137,1),(143,1),(145,1),(146,1)}
       120:{2,4,5,7}:{(94,1),(95,1),(144,1),(146,1)}
       121:{1,4,5,7}:{(96,1),(98,1),(147,1),(148,1),(154,1)}
       122:{1,3,5,6}:{(96,1),(104,1),(148,1),(158,1),(189,1)}
       123:{1,2,3,5}:{(97,1),(105,1),(150,1),(160,1),(193,1)}
       124:{1,3,4}:{(97,1),(150,1)}
       125:{3,4,5}:{(98,1),(108,1),(151,1),(153,1)}
       126:{1,4,6}:{(98,1),(99,1),(153,1),(154,1)}
       127:{1,3,5,7}:{(99,1),(100,1),(110,1),(154,1),(163,1)}
       128:{1,2,3,7}:{(101,1),(105,1),(155,1),(209,1)}
       129:{2,3,4,7}:{(102,1),(106,1),(155,1),(156,1),(195,1),(209,1)}
       130:{1,3,4,7}:{(101,1),(102,1),(107,1),(114,1),(155,1),(157,1)}
       131:{3,5,7}:{(102,1),(103,1),(108,1),(158,1)}
       132:{1,2,4,6}:{(103,1),(104,1),(116,1),(148,1),(158,1),(167,1),(191,1),(197,1)}
       133:{1,2,5,6,7}:{(104,1),(110,1),(117,1),(149,1),(159,1),(201,1),(208,1)}
       134:{1,2,4,6}:{(105,1),(106,1),(107,1),(150,1),(155,1),(160,1),(197,1)}
       135:{2,3,5}:{(106,1),(108,1),(151,1),(160,1)}
       136:{1,3,5}:{(107,1),(108,1),(118,1),(160,1)}
       137:{3,5,6}:{(108,1),(109,1),(153,1),(158,1),(163,1)}
       138:{1,2,4,5,7}:{(109,1),(110,1),(120,1),(154,1),(159,1),(163,1),(169,1),(190,1),(195,1),(200,1),(208,1)}
       139:{1,4,6,7}:{(111,1),(112,1),(114,1),(164,1),(167,1)}
       140:{3,5,7}:{(112,1),(113,1),(164,1),(165,1)}
       141:{2,4,5,6}:{(113,1),(116,1),(165,1)}
       142:{1,4,5,7}:{(114,1),(115,1),(118,1),(157,1),(164,1),(167,1)}
       143:{3,4,6}:{(115,1),(116,1),(158,1),(165,1),(167,1)}
       144:{2,4,6,7}:{(116,1),(117,1),(120,1),(168,1)}
       145:{1,4,5,6}:{(118,1),(119,1),(162,1),(167,1),(169,1)}
       146:{3,4,5,7}:{(119,1),(120,1),(163,1),(168,1),(169,1)}
       147:{3,4,5,7}:{(121,1),(125,1),(131,1),(171,1),(172,1),(178,1),(203,1)}
       148:{1,4,6}:{(121,1),(122,1),(172,1)}
       149:{1,3,5,6,7}:{(122,1),(127,1),(133,1),(173,1),(182,1),(203,1)}
       150:{1,2,4}:{(123,1),(124,1),(174,1)}
       151:{2,4,5}:{(125,1),(135,1),(176,1)}
       152:{1,3,4,5}:{(124,1),(125,1),(136,1),(175,1),(177,1)}
       153:{3,4,6}:{(125,1),(126,1),(137,1),(176,1),(178,1)}
       154:{1,4,7}:{(126,1),(127,1),(178,1)}
       155:{1,2,4,7}:{(128,1),(129,1),(130,1),(134,1),(179,1)}
       156:{2,3,5,7}:{(129,1),(131,1),(135,1),(171,1),(179,1),(180,1)}
       157:{1,3,5,7}:{(130,1),(131,1),(136,1),(142,1),(179,1),(181,1)}
       158:{3,6}:{(131,1),(132,1)}
       159:{1,2,4,6,7}:{(132,1),(133,1),(138,1),(144,1),(173,1),(182,1),(188,1),(204,1),(207,1)}
       160:{1,2,5}:{(134,1),(135,1),(136,1)}
       161:{2,3,5,6}:{(135,1),(137,1),(176,1),(180,1),(183,1),(184,1),(202,1),(205,1)}
       162:{1,3,5,6}:{(136,1),(137,1),(145,1),(177,1),(181,1),(183,1),(185,1)}
       163:{3,5,7}:{(137,1),(138,1),(178,1),(182,1)}
       164:{1,5,7}:{(139,1),(140,1),(186,1)}
       165:{3,5,6}:{(140,1),(141,1),(143,1),(186,1)}
       166:{2,4,5,6,7}:{(141,1),(144,1),(187,1)}
       167:{1,4,6}:{(142,1),(143,1),(181,1),(186,1)}
       168:{3,4,6,7}:{(143,1),(144,1),(146,1),(182,1),(187,1),(188,1)}
       169:{1,4,5,7}:{(145,1),(146,1),(185,1),(188,1)}
       170:{1,4,5,6}:{(148,1),(189,1),(190,1)}
       171:{2,4,5,7}:{(147,1),(151,1),(156,1),(191,1),(195,1),(208,1)}
       172:{3,4,6}:{(147,1),(148,1),(158,1),(189,1),(191,1)}
       173:{1,4,6,7}:{(148,1),(149,1),(154,1),(190,1),(192,1)}
       174:{2,3,4}:{(150,1),(193,1)}
       175:{1,2,4,5}:{(150,1),(151,1),(152,1),(160,1),(193,1),(194,1)}
       176:{2,4,6}:{(151,1),(153,1),(161,1),(195,1)}
       177:{1,3,4,6}:{(152,1),(153,1),(162,1),(194,1),(196,1)}
       178:{3,4,7}:{(153,1),(154,1),(163,1),(195,1)}
       179:{1,2,5,7}:{(155,1),(156,1),(157,1),(160,1),(197,1)}
       180:{2,3,6}:{(156,1),(158,1),(191,1),(197,1)}
       181:{1,3,6}:{(157,1),(158,1),(167,1),(197,1)}
       182:{3,6,7}:{(158,1),(159,1),(163,1)}
       183:{1,2,5,6}:{(160,1),(161,1),(162,1),(194,1),(197,1),(200,1)}
       184:{2,3,5,7}:{(161,1),(163,1),(195,1),(198,1),(200,1),(208,1),(209,1)}
       185:{1,3,5,7}:{(162,1),(163,1),(169,1),(196,1),(199,1),(200,1)}
       186:{1,5,6}:{(164,1),(165,1),(167,1)}
       187:{3,5,6,7}:{(165,1),(166,1),(168,1),(201,1)}
       188:{1,4,6,7}:{(167,1),(168,1),(169,1),(199,1),(201,1)}
       189:{3,5,6}:{(170,1),(172,1),(202,1),(203,1)}
       190:{1,4,5,7}:{(170,1),(173,1),(203,1)}
       191:{2,4,6}:{(171,1),(172,1),(180,1),(202,1)}
       192:{3,4,6,7}:{(172,1),(173,1),(178,1),(182,1),(203,1),(204,1)}
       193:{2,3,5}:{(174,1),(175,1),(205,1)}
       194:{1,2,4,6}:{(175,1),(176,1),(177,1),(183,1),(205,1),(206,1)}
       195:{2,4,7}:{(176,1),(178,1),(184,1)}
       196:{1,3,4,7}:{(177,1),(178,1),(185,1),(206,1)}
       197:{1,2,6}:{(179,1),(180,1),(181,1)}
       198:{2,3,6,7}:{(180,1),(182,1),(184,1),(204,1),(207,1)}
       199:{1,3,6,7}:{(181,1),(182,1),(185,1),(188,1),(207,1)}
       200:{1,2,5,7}:{(183,1),(184,1),(185,1),(206,1),(207,1)}
       201:{1,5,6,7}:{(186,1),(187,1),(188,1)}
       202:{2,5,6}:{(189,1),(191,1),(208,1)}
       203:{3,5,7}:{(189,1),(190,1),(192,1),(208,1)}
       204:{2,4,6,7}:{(191,1),(192,1),(195,1),(198,1),(208,1)}
       205:{2,3,6}:{(193,1),(194,1),(209,1)}
       206:{1,2,4,7}:{(194,1),(195,1),(196,1),(200,1),(209,1)}
       207:{1,2,6,7}:{(197,1),(198,1),(199,1),(200,1)}
       208:{2,5,7}:{(202,1),(203,1),(204,1)}
       209:{2,3,7}:{(205,1),(206,1)}

1305 :   0:{1,2,4,5,6}:{(1,1),(2,1),(10,1),(11,1),(13,1),(40,1),(78,1),(79,1),(80,1),(81,1),(99,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(59,1),(90,1),(101,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(26,1),(27,1),(29,1),(66,1),(67,1),(68,1)}
         3:{3,4,6}:{(1,1),(9,1),(10,1),(11,1),(12,1),(44,1),(76,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(13,1),(14,1),(37,1),(44,1),(51,1),(74,1),(79,1),(85,1),(97,1),(99,1)}
         5:{2,3,5,6}:{(1,1),(11,1),(13,1),(15,1),(18,1),(44,1),(53,1),(72,1),(80,1),(95,1),(97,1),(103,1)}
         6:{3,5,7}:{(1,1),(2,1),(12,1),(16,1)}
         7:{1,2,4,6,7}:{(2,1),(16,1),(17,1),(46,1),(47,1),(49,1),(50,1),(78,1)}
         8:{2,3,4,6}:{(11,1),(18,1),(19,1),(20,1),(44,1),(53,1),(76,1),(96,1)}
         9:{3,4,5}:{(3,1),(22,1),(23,1),(59,1),(101,1)}
        10:{1,4,6}:{(3,1),(4,1),(22,1),(26,1),(69,1),(102,1)}
        11:{2,4,6}:{(3,1),(5,1),(23,1),(27,1),(86,1),(102,1)}
        12:{3,4,7}:{(3,1),(6,1),(26,1),(27,1),(64,1)}
        13:{1,2,5,6}:{(4,1),(5,1),(25,1),(29,1),(33,1),(55,1),(71,1),(88,1)}
        14:{1,3,5,7}:{(4,1),(6,1),(26,1),(29,1),(30,1),(64,1),(66,1),(92,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(27,1),(29,1),(31,1),(64,1),(67,1),(92,1)}
        16:{3,6,7}:{(6,1),(7,1),(90,1)}
        17:{1,2,5,6,7}:{(7,1),(32,1),(66,1),(67,1),(91,1)}
        18:{2,3,5}:{(8,1),(23,1),(33,1),(59,1),(101,1)}
        19:{1,2,4,6}:{(8,1),(33,1),(35,1),(36,1),(69,1),(71,1),(93,1)}
        20:{2,3,4,7}:{(8,1),(27,1),(34,1),(36,1),(64,1),(89,1)}
        21:{1,3,4,6}:{(10,1),(37,1),(38,1),(39,1),(44,1),(74,1),(76,1),(96,1)}
        22:{1,4,5}:{(9,1),(10,1),(37,1),(99,1),(104,1)}
        23:{2,4,5}:{(9,1),(11,1),(18,1),(103,1),(104,1)}
        24:{3,4,5,7}:{(9,1),(12,1),(41,1),(42,1),(43,1),(48,1),(77,1),(98,1),(104,1)}
        25:{1,2,4,6}:{(10,1),(11,1),(13,1),(40,1),(44,1),(45,1)}
        26:{1,4,7}:{(10,1),(12,1),(14,1),(98,1)}
        27:{2,4,7}:{(11,1),(12,1),(15,1),(98,1)}
        28:{3,4,6,7}:{(12,1),(16,1),(43,1),(46,1),(47,1),(48,1),(50,1),(82,1),(96,1),(98,1)}
        29:{1,2,5,7}:{(13,1),(14,1),(15,1),(45,1),(49,1)}
        30:{1,3,6,7}:{(14,1),(16,1),(46,1),(49,1),(74,1),(82,1),(85,1)}
        31:{2,3,6,7}:{(15,1),(16,1),(47,1),(49,1),(53,1),(82,1),(95,1)}
        32:{3,5,6,7}:{(16,1),(17,1),(48,1),(50,1),(97,1)}
        33:{1,2,5}:{(18,1),(19,1),(51,1),(99,1)}
        34:{2,3,5,7}:{(18,1),(20,1),(42,1),(52,1),(53,1),(77,1)}
        35:{1,3,6}:{(19,1),(44,1),(51,1),(54,1)}
        36:{1,2,4,7}:{(19,1),(20,1),(52,1),(54,1),(84,1)}
        37:{1,3,5}:{(21,1),(22,1),(55,1),(59,1),(101,1)}
        38:{1,2,4,6}:{(21,1),(55,1),(57,1),(58,1),(86,1),(88,1),(100,1)}
        39:{1,3,4,7}:{(21,1),(26,1),(56,1),(58,1),(64,1),(89,1)}
        40:{1,2,4,5}:{(22,1),(23,1),(25,1),(33,1),(55,1),(59,1),(69,1),(86,1)}
        41:{1,4,5,7}:{(22,1),(24,1),(26,1),(56,1),(61,1),(66,1)}
        42:{2,4,5,7}:{(23,1),(24,1),(27,1),(34,1),(62,1),(67,1)}
        43:{3,4,6}:{(24,1),(61,1),(62,1),(63,1),(90,1),(102,1)}
        44:{3,6}:{(25,1),(59,1),(64,1)}
        45:{1,2,4,7}:{(25,1),(26,1),(27,1),(29,1),(64,1)}
        46:{1,4,6,7}:{(26,1),(28,1),(30,1),(61,1),(66,1),(93,1)}
        47:{2,4,6,7}:{(27,1),(28,1),(31,1),(62,1),(67,1),(100,1)}
        48:{3,5,7}:{(28,1),(63,1),(66,1),(67,1),(68,1),(101,1)}
        49:{1,2,6,7}:{(29,1),(30,1),(31,1),(71,1),(88,1)}
        50:{4,6,7}:{(32,1),(68,1),(102,1)}
        51:{1,3,5}:{(33,1),(35,1),(59,1),(69,1)}
        52:{1,2,5,7}:{(33,1),(34,1),(36,1),(70,1),(71,1)}
        53:{2,3,6}:{(34,1),(62,1),(71,1),(90,1)}
        54:{1,3,7}:{(35,1),(36,1),(64,1)}
        55:{1,2,5}:{(37,1),(38,1),(72,1),(103,1)}
        56:{1,3,5,7}:{(37,1),(39,1),(41,1),(73,1),(74,1),(77,1)}
        57:{2,3,6}:{(38,1),(44,1),(72,1),(75,1)}
        58:{1,2,4,7}:{(38,1),(39,1),(73,1),(75,1),(94,1)}
        59:{3,5}:{(40,1),(44,1),(76,1)}
        60:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(45,1),(52,1),(73,1),(77,1),(78,1),(83,1),(84,1),(94,1),(98,1),(99,1),(103,1),(104,1)}
        61:{1,4,6}:{(41,1),(43,1),(74,1),(79,1)}
        62:{2,4,6}:{(42,1),(43,1),(53,1),(80,1)}
        63:{3,5,6}:{(43,1),(48,1),(79,1),(80,1),(81,1)}
        64:{3,7}:{(44,1),(45,1)}
        65:{1,2,4,6,7}:{(45,1),(46,1),(47,1),(49,1),(78,1),(82,1),(83,1),(98,1)}
        66:{1,5,7}:{(46,1),(48,1),(79,1),(99,1)}
        67:{2,5,7}:{(47,1),(48,1),(80,1),(103,1)}
        68:{4,5,7}:{(48,1),(50,1),(81,1),(98,1),(104,1)}
        69:{1,4}:{(51,1),(76,1)}
        70:{1,3,5,7}:{(51,1),(52,1),(54,1),(77,1),(84,1),(85,1),(99,1)}
        71:{1,2,6}:{(52,1),(53,1),(85,1)}
        72:{2,3,5}:{(55,1),(57,1),(59,1),(86,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(58,1),(87,1),(88,1)}
        74:{1,3,6}:{(56,1),(61,1),(88,1),(90,1)}
        75:{2,3,7}:{(57,1),(58,1),(64,1)}
        76:{3,4}:{(59,1),(69,1),(86,1)}
        77:{3,5,7}:{(59,1),(60,1),(64,1),(89,1),(90,1),(101,1)}
        78:{1,2,4,6}:{(60,1),(61,1),(62,1),(71,1),(88,1),(90,1),(91,1),(93,1),(100,1),(102,1)}
        79:{1,5,6}:{(61,1),(63,1),(66,1)}
        80:{2,5,6}:{(62,1),(63,1),(67,1)}
        81:{4,5,6}:{(63,1),(68,1),(102,1)}
        82:{3,6,7}:{(64,1),(65,1),(90,1),(92,1)}
        83:{1,2,5,7}:{(65,1),(66,1),(67,1),(91,1),(92,1)}
        84:{1,4,7}:{(69,1),(70,1),(89,1),(93,1)}
        85:{1,3,6}:{(70,1),(71,1),(90,1),(93,1)}
        86:{2,4}:{(72,1),(76,1)}
        87:{2,3,5,7}:{(72,1),(73,1),(75,1),(77,1),(94,1),(95,1),(103,1)}
        88:{1,2,6}:{(73,1),(74,1),(95,1)}
        89:{3,4,7}:{(76,1),(77,1),(84,1),(94,1),(96,1),(98,1)}
        90:{3,6}:{(77,1),(78,1)}
        91:{1,2,5,6}:{(78,1),(79,1),(80,1),(83,1),(97,1),(99,1),(103,1)}
        92:{3,5,7}:{(82,1),(83,1),(97,1),(98,1)}
        93:{1,4,6}:{(84,1),(85,1),(96,1),(99,1)}
        94:{2,4,7}:{(86,1),(87,1),(89,1),(100,1)}
        95:{2,3,6}:{(87,1),(88,1),(90,1),(100,1)}
        96:{3,4,6}:{(89,1),(90,1),(93,1),(100,1),(101,1),(102,1)}
        97:{3,5,6}:{(90,1),(91,1),(92,1),(101,1),(102,1)}
        98:{4,7}:{(92,1),(102,1)}
        99:{1,5}:{(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(95,1),(96,1),(103,1)}
       101:{3,5}:{(96,1),(99,1),(103,1),(104,1)}
       102:{4,6}:{(97,1),(98,1),(104,1)}
       103:{2,5}:{(100,1),(101,1)}
       104:{4,5}:{(101,1),(102,1)}

1306 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(27,1),(163,1),(174,1),(208,1)}
         1:{1,3,4,5}:{(5,1),(6,1),(64,1),(69,1),(118,1)}
         2:{3,4,5,7}:{(0,1),(10,1),(11,1),(12,1),(44,1),(144,1)}
         3:{1,4,5,6}:{(0,1),(7,1),(11,1),(147,1),(199,1)}
         4:{2,4,5,6}:{(0,1),(8,1),(12,1),(183,1),(216,1)}
         5:{1,3,4,6}:{(1,1),(7,1),(14,1),(15,1),(45,1)}
         6:{1,2,4,5}:{(1,1),(15,1),(16,1),(49,1),(81,1),(91,1)}
         7:{1,3,5,6}:{(3,1),(5,1),(19,1),(20,1),(27,1),(118,1),(178,1)}
         8:{2,3,5,6}:{(4,1),(18,1),(21,1),(22,1),(27,1),(158,1),(205,1)}
         9:{4,5,6,7}:{(23,1),(113,1),(226,1)}
        10:{3,4,6,7}:{(2,1),(23,1),(24,1),(25,1),(62,1),(113,1),(208,1)}
        11:{1,4,5,7}:{(2,1),(3,1),(19,1),(24,1)}
        12:{2,4,5,7}:{(2,1),(4,1),(21,1),(25,1)}
        13:{1,2,4,5,6}:{(3,1),(4,1),(20,1),(22,1),(26,1),(27,1),(57,1),(60,1),(106,1),(168,1),(170,1),(172,1),(174,1)}
        14:{1,3,4,7}:{(5,1),(19,1),(28,1),(63,1)}
        15:{1,2,4,6}:{(5,1),(6,1),(20,1),(28,1),(29,1),(57,1)}
        16:{2,3,5}:{(6,1),(29,1),(31,1)}
        17:{2,3,4,5}:{(18,1),(32,1),(64,1),(125,1),(158,1)}
        18:{2,3,4,6}:{(8,1),(17,1),(33,1),(34,1),(45,1)}
        19:{1,3,5,7}:{(7,1),(11,1),(14,1),(35,1),(36,1),(44,1)}
        20:{1,2,5,6}:{(7,1),(15,1),(36,1),(37,1),(91,1),(150,1)}
        21:{2,3,5,7}:{(8,1),(12,1),(33,1),(38,1),(39,1),(44,1)}
        22:{1,2,5,6}:{(8,1),(34,1),(39,1),(40,1),(130,1),(186,1)}
        23:{3,5,6,7}:{(9,1),(10,1),(41,1),(42,1),(219,1)}
        24:{1,4,6,7}:{(10,1),(11,1),(35,1),(41,1),(199,1)}
        25:{2,4,6,7}:{(10,1),(12,1),(38,1),(42,1),(216,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(36,1),(39,1),(43,1),(44,1),(80,1),(83,1),(138,1),(141,1),(144,1)}
        27:{3,5,6}:{(13,1),(44,1),(45,1),(134,1),(192,1)}
        28:{1,2,4,7}:{(14,1),(15,1),(36,1),(47,1),(80,1)}
        29:{2,3,6}:{(15,1),(16,1),(47,1)}
        30:{1,2,3,5}:{(16,1),(46,1),(49,1),(91,1),(94,1)}
        31:{2,3,4}:{(16,1),(49,1)}
        32:{1,2,4,5}:{(17,1),(34,1),(51,1),(84,1),(97,1),(130,1)}
        33:{2,3,4,7}:{(18,1),(21,1),(52,1),(63,1)}
        34:{1,2,4,6}:{(18,1),(22,1),(32,1),(52,1),(53,1),(60,1)}
        35:{1,3,6,7}:{(19,1),(24,1),(55,1),(62,1),(178,1)}
        36:{1,2,5,7}:{(19,1),(20,1),(28,1),(55,1),(56,1)}
        37:{2,3,5,6}:{(20,1),(27,1),(29,1),(56,1),(57,1),(68,1),(121,1),(170,1)}
        38:{2,3,6,7}:{(21,1),(25,1),(58,1),(62,1),(205,1)}
        39:{1,2,5,7}:{(21,1),(22,1),(52,1),(58,1),(59,1)}
        40:{1,3,5,6}:{(22,1),(27,1),(53,1),(59,1),(60,1),(102,1),(161,1),(172,1)}
        41:{1,5,6,7}:{(23,1),(24,1),(214,1)}
        42:{2,5,6,7}:{(23,1),(25,1),(224,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(55,1),(58,1),(61,1),(62,1),(107,1),(110,1),(113,1),(168,1)}
        44:{3,5,7}:{(26,1),(27,1),(62,1),(63,1)}
        45:{3,4,6}:{(27,1),(57,1),(60,1),(63,1),(64,1)}
        46:{1,2,3,6}:{(29,1),(30,1),(65,1),(66,1),(123,1)}
        47:{2,3,7}:{(28,1),(29,1)}
        48:{2,3,4,6}:{(29,1),(31,1),(57,1),(66,1),(67,1),(68,1),(103,1),(121,1)}
        49:{1,2,4}:{(30,1),(31,1),(69,1)}
        50:{2,3,4,5}:{(31,1),(68,1),(70,1),(71,1),(163,1)}
        51:{1,3,5}:{(32,1),(53,1),(73,1)}
        52:{1,2,4,7}:{(33,1),(34,1),(39,1),(75,1),(83,1)}
        53:{1,3,6}:{(34,1),(51,1),(75,1)}
        54:{1,2,3,5,6}:{(37,1),(40,1),(46,1),(74,1),(77,1),(78,1),(91,1),(130,1),(134,1),(149,1),(150,1),(185,1),(186,1),(192,1),(194,1)}
        55:{1,2,6,7}:{(35,1),(36,1),(79,1),(150,1)}
        56:{2,3,5,7}:{(36,1),(37,1),(44,1),(47,1),(79,1),(80,1),(138,1)}
        57:{2,4,6}:{(37,1),(45,1),(80,1),(81,1)}
        58:{1,2,6,7}:{(38,1),(39,1),(82,1),(186,1)}
        59:{1,3,5,7}:{(39,1),(40,1),(44,1),(75,1),(82,1),(83,1),(141,1)}
        60:{1,4,6}:{(40,1),(45,1),(83,1),(84,1)}
        61:{1,2,5,6,7}:{(41,1),(42,1),(43,1),(85,1),(138,1),(141,1),(194,1)}
        62:{3,6,7}:{(43,1),(44,1),(192,1)}
        63:{3,4,7}:{(44,1),(45,1),(80,1),(83,1)}
        64:{3,4,5}:{(45,1),(81,1),(84,1),(134,1)}
        65:{1,2,3,7}:{(46,1),(47,1),(90,1),(153,1)}
        66:{1,2,4,6}:{(46,1),(48,1),(49,1),(89,1),(90,1),(91,1),(150,1)}
        67:{2,3,4,7}:{(47,1),(48,1),(80,1),(90,1),(92,1),(133,1)}
        68:{2,3,5}:{(48,1),(81,1),(91,1),(134,1)}
        69:{1,3,4}:{(49,1),(94,1)}
        70:{1,2,4,5}:{(49,1),(50,1),(91,1),(94,1),(95,1),(147,1)}
        71:{2,3,4,6}:{(50,1),(93,1),(95,1),(96,1),(190,1)}
        72:{1,2,3,5}:{(51,1),(74,1),(97,1),(130,1),(154,1)}
        73:{1,3,4}:{(51,1),(97,1)}
        74:{1,2,3,6}:{(53,1),(72,1),(99,1),(100,1),(181,1)}
        75:{1,3,7}:{(52,1),(53,1)}
        76:{1,3,4,6}:{(53,1),(60,1),(73,1),(100,1),(101,1),(102,1),(103,1),(161,1)}
        77:{1,2,3,5,7}:{(54,1),(56,1),(59,1),(65,1),(99,1),(104,1),(105,1),(119,1),(159,1),(165,1),(167,1),(179,1),(206,1)}
        78:{1,2,4,6}:{(54,1),(57,1),(60,1),(103,1),(105,1),(106,1),(177,1),(204,1)}
        79:{2,3,6,7}:{(55,1),(56,1),(62,1),(107,1),(121,1)}
        80:{2,4,7}:{(56,1),(57,1),(63,1)}
        81:{2,4,5}:{(57,1),(64,1),(68,1)}
        82:{1,3,6,7}:{(58,1),(59,1),(62,1),(110,1),(161,1)}
        83:{1,4,7}:{(59,1),(60,1),(63,1)}
        84:{1,4,5}:{(60,1),(64,1),(102,1)}
        85:{3,5,6,7}:{(61,1),(62,1),(113,1),(114,1),(211,1)}
        86:{3,4,6,7}:{(62,1),(63,1),(107,1),(110,1),(113,1),(114,1),(115,1)}
        87:{3,4,5,7}:{(63,1),(64,1),(108,1),(111,1),(114,1),(115,1),(165,1),(210,1)}
        88:{3,4,5,6}:{(64,1),(109,1),(112,1),(115,1),(116,1),(166,1),(226,1)}
        89:{1,3,4,6}:{(66,1),(69,1),(103,1),(117,1),(118,1),(123,1),(177,1),(178,1)}
        90:{1,2,4,7}:{(65,1),(66,1),(67,1),(117,1),(119,1)}
        91:{1,2,5}:{(66,1),(68,1),(118,1)}
        92:{2,3,5,7}:{(67,1),(68,1),(108,1),(119,1),(121,1),(165,1)}
        93:{2,3,5,6}:{(68,1),(71,1),(109,1),(120,1),(121,1),(122,1),(166,1)}
        94:{1,3,5}:{(69,1),(70,1),(123,1)}
        95:{1,2,4,6}:{(70,1),(71,1),(120,1),(123,1),(124,1),(177,1)}
        96:{2,3,4,7}:{(71,1),(122,1),(124,1),(209,1)}
        97:{1,2,4}:{(72,1),(73,1),(125,1)}
        98:{1,3,4,5}:{(73,1),(102,1),(126,1),(127,1),(163,1)}
        99:{1,2,3,7}:{(74,1),(75,1),(129,1),(202,1)}
       100:{1,2,4,6}:{(74,1),(76,1),(97,1),(128,1),(129,1),(130,1),(186,1)}
       101:{1,3,4,7}:{(75,1),(76,1),(83,1),(129,1),(131,1),(133,1)}
       102:{1,3,5}:{(76,1),(84,1),(130,1),(134,1)}
       103:{3,4,6}:{(78,1),(133,1),(134,1),(192,1)}
       104:{1,2,3,6,7}:{(77,1),(79,1),(82,1),(135,1),(150,1),(186,1),(192,1),(201,1),(218,1)}
       105:{1,2,4,7}:{(77,1),(78,1),(80,1),(83,1),(133,1),(200,1),(217,1)}
       106:{1,2,4,5}:{(78,1),(81,1),(84,1),(91,1),(130,1),(134,1),(147,1),(183,1)}
       107:{2,4,6,7}:{(79,1),(80,1),(86,1),(138,1),(139,1)}
       108:{2,4,5,7}:{(80,1),(81,1),(87,1),(92,1),(138,1),(139,1)}
       109:{2,4,5,6}:{(81,1),(88,1),(93,1),(139,1),(140,1)}
       110:{1,4,6,7}:{(82,1),(83,1),(86,1),(141,1),(142,1)}
       111:{1,4,5,7}:{(83,1),(84,1),(87,1),(131,1),(141,1),(142,1)}
       112:{1,4,5,6}:{(84,1),(88,1),(132,1),(142,1),(143,1)}
       113:{4,6,7}:{(85,1),(144,1),(221,1)}
       114:{3,5,7}:{(86,1),(138,1),(141,1),(144,1),(145,1)}
       115:{3,4,6}:{(87,1),(139,1),(142,1),(145,1),(192,1),(221,1)}
       116:{3,4,5,7}:{(88,1),(140,1),(143,1),(146,1),(193,1),(230,1)}
       117:{1,3,4,7}:{(89,1),(90,1),(133,1),(148,1),(153,1),(200,1)}
       118:{1,3,5}:{(89,1),(91,1),(134,1),(147,1)}
       119:{1,2,5,7}:{(90,1),(91,1),(92,1),(148,1),(150,1)}
       120:{1,2,5,6}:{(91,1),(93,1),(95,1),(149,1),(150,1),(151,1)}
       121:{2,3,6}:{(92,1),(139,1),(150,1),(192,1)}
       122:{2,3,5,7}:{(93,1),(96,1),(140,1),(151,1),(152,1),(193,1)}
       123:{1,3,6}:{(94,1),(95,1),(153,1)}
       124:{1,2,4,7}:{(95,1),(96,1),(151,1),(153,1),(200,1)}
       125:{2,3,4}:{(97,1),(154,1)}
       126:{1,2,4,5}:{(97,1),(98,1),(130,1),(154,1),(155,1),(183,1)}
       127:{1,3,4,6}:{(98,1),(132,1),(155,1),(156,1),(190,1)}
       128:{2,3,4,6}:{(100,1),(103,1),(125,1),(157,1),(158,1),(181,1),(204,1),(205,1)}
       129:{1,2,4,7}:{(99,1),(100,1),(101,1),(157,1),(159,1)}
       130:{1,2,5}:{(100,1),(102,1),(158,1)}
       131:{1,3,5,7}:{(101,1),(102,1),(111,1),(159,1),(161,1),(165,1)}
       132:{1,3,5,6}:{(102,1),(112,1),(127,1),(160,1),(161,1),(162,1),(166,1)}
       133:{3,4,7}:{(103,1),(105,1),(165,1)}
       134:{3,5}:{(103,1),(106,1)}
       135:{1,2,4,6,7}:{(104,1),(105,1),(107,1),(110,1),(164,1),(167,1),(168,1),(215,1),(225,1)}
       136:{1,2,4,5,7}:{(105,1),(106,1),(108,1),(111,1),(119,1),(159,1),(165,1),(167,1),(168,1),(176,1),(203,1),(210,1)}
       137:{1,2,4,5,6}:{(106,1),(109,1),(112,1),(120,1),(160,1),(166,1),(168,1),(169,1),(177,1),(204,1),(214,1),(224,1),(226,1)}
       138:{2,5,7}:{(107,1),(114,1),(170,1)}
       139:{2,4,6}:{(108,1),(115,1),(121,1),(170,1)}
       140:{2,4,5,7}:{(109,1),(116,1),(122,1),(171,1)}
       141:{1,5,7}:{(110,1),(114,1),(172,1)}
       142:{1,4,6}:{(111,1),(115,1),(161,1),(172,1)}
       143:{1,4,5,7}:{(112,1),(116,1),(162,1),(173,1)}
       144:{4,5,7}:{(113,1),(114,1),(174,1)}
       145:{3,5,6}:{(114,1),(115,1),(170,1),(172,1),(174,1)}
       146:{3,4,6,7}:{(115,1),(116,1),(171,1),(173,1),(175,1),(212,1),(228,1)}
       147:{1,4,5}:{(118,1),(163,1),(177,1)}
       148:{1,3,5,7}:{(117,1),(118,1),(119,1),(165,1),(176,1),(178,1)}
       149:{1,3,5,6}:{(118,1),(120,1),(123,1),(166,1),(177,1),(178,1),(179,1),(214,1)}
       150:{1,2,6}:{(119,1),(121,1),(178,1)}
       151:{1,2,5,7}:{(120,1),(122,1),(124,1),(179,1),(180,1)}
       152:{2,3,6,7}:{(121,1),(122,1),(171,1),(180,1),(212,1)}
       153:{1,3,7}:{(123,1),(124,1)}
       154:{2,3,5}:{(125,1),(126,1),(181,1)}
       155:{1,2,4,6}:{(126,1),(127,1),(160,1),(181,1),(182,1),(204,1)}
       156:{1,3,4,7}:{(127,1),(162,1),(182,1),(209,1)}
       157:{2,3,4,7}:{(128,1),(129,1),(133,1),(184,1),(202,1),(217,1)}
       158:{2,3,5}:{(128,1),(130,1),(134,1),(183,1)}
       159:{1,2,5,7}:{(129,1),(130,1),(131,1),(184,1),(186,1)}
       160:{1,2,5,6}:{(130,1),(132,1),(155,1),(185,1),(186,1),(187,1)}
       161:{1,3,6}:{(131,1),(142,1),(186,1),(192,1)}
       162:{1,3,5,7}:{(132,1),(143,1),(156,1),(187,1),(188,1),(193,1)}
       163:{3,4,5}:{(134,1),(147,1),(183,1),(190,1)}
       164:{3,4,6,7}:{(133,1),(135,1),(191,1),(192,1),(221,1)}
       165:{3,5,7}:{(133,1),(134,1),(136,1),(192,1)}
       166:{3,5,6}:{(134,1),(137,1),(190,1),(192,1),(193,1)}
       167:{1,2,5,7}:{(135,1),(138,1),(141,1),(191,1),(194,1),(223,1),(229,1)}
       168:{1,2,4,6}:{(136,1),(139,1),(142,1),(150,1),(186,1),(192,1),(194,1),(199,1),(216,1),(221,1)}
       169:{1,2,4,5,7}:{(137,1),(140,1),(143,1),(151,1),(187,1),(193,1),(195,1),(200,1),(217,1),(223,1),(229,1),(230,1)}
       170:{2,5,6}:{(138,1),(139,1),(145,1)}
       171:{2,4,6,7}:{(139,1),(140,1),(146,1),(152,1),(196,1)}
       172:{1,5,6}:{(141,1),(142,1),(145,1)}
       173:{1,4,6,7}:{(142,1),(143,1),(146,1),(188,1),(197,1)}
       174:{4,5,6}:{(144,1),(145,1),(221,1)}
       175:{3,5,6,7}:{(145,1),(146,1),(196,1),(197,1),(198,1)}
       176:{1,4,5,7}:{(147,1),(148,1),(189,1),(199,1),(200,1),(223,1)}
       177:{1,4,6}:{(147,1),(149,1),(190,1),(200,1)}
       178:{1,3,6}:{(148,1),(150,1),(192,1),(199,1)}
       179:{1,3,5,7}:{(149,1),(151,1),(153,1),(193,1),(200,1),(201,1),(223,1)}
       180:{1,2,6,7}:{(150,1),(151,1),(152,1),(201,1)}
       181:{2,3,6}:{(154,1),(155,1),(202,1)}
       182:{1,2,4,7}:{(155,1),(156,1),(187,1),(202,1),(217,1)}
       183:{2,4,5}:{(158,1),(163,1),(204,1)}
       184:{2,3,5,7}:{(157,1),(158,1),(159,1),(165,1),(203,1),(205,1)}
       185:{2,3,5,6}:{(158,1),(160,1),(166,1),(181,1),(204,1),(205,1),(206,1),(224,1)}
       186:{1,2,6}:{(159,1),(161,1),(205,1)}
       187:{1,2,5,7}:{(160,1),(162,1),(182,1),(206,1),(207,1)}
       188:{1,3,6,7}:{(161,1),(162,1),(173,1),(207,1),(212,1)}
       189:{3,4,5,7}:{(163,1),(165,1),(176,1),(203,1),(208,1),(209,1),(210,1),(227,1)}
       190:{3,4,6}:{(163,1),(166,1),(177,1),(204,1),(209,1)}
       191:{3,5,7}:{(164,1),(167,1),(210,1),(211,1)}
       192:{3,6}:{(165,1),(168,1)}
       193:{3,5,7}:{(166,1),(169,1),(209,1),(212,1)}
       194:{1,2,5,6}:{(167,1),(168,1),(170,1),(172,1),(211,1),(214,1),(224,1)}
       195:{1,2,4,6,7}:{(168,1),(169,1),(171,1),(173,1),(180,1),(207,1),(212,1),(213,1),(215,1),(225,1),(228,1)}
       196:{2,5,6,7}:{(170,1),(171,1),(175,1)}
       197:{1,5,6,7}:{(172,1),(173,1),(175,1)}
       198:{4,5,6,7}:{(174,1),(175,1),(228,1)}
       199:{1,4,6}:{(176,1),(178,1),(208,1),(214,1)}
       200:{1,4,7}:{(177,1),(179,1),(209,1)}
       201:{1,3,6,7}:{(178,1),(179,1),(180,1),(212,1),(215,1)}
       202:{2,3,7}:{(181,1),(182,1)}
       203:{2,4,5,7}:{(183,1),(184,1),(189,1),(216,1),(217,1),(229,1)}
       204:{2,4,6}:{(183,1),(185,1),(190,1),(217,1)}
       205:{2,3,6}:{(184,1),(186,1),(192,1),(216,1)}
       206:{2,3,5,7}:{(185,1),(187,1),(193,1),(202,1),(217,1),(218,1),(229,1)}
       207:{1,2,6,7}:{(186,1),(187,1),(188,1),(218,1)}
       208:{3,4,6}:{(189,1),(192,1),(199,1),(216,1),(219,1),(221,1)}
       209:{3,4,7}:{(190,1),(193,1),(200,1),(217,1)}
       210:{4,5,7}:{(191,1),(221,1)}
       211:{3,5,6}:{(191,1),(192,1),(194,1),(221,1)}
       212:{3,6,7}:{(192,1),(193,1),(195,1)}
       213:{1,2,5,6,7}:{(194,1),(195,1),(196,1),(197,1),(222,1),(223,1),(229,1)}
       214:{1,5,6}:{(199,1),(219,1),(223,1)}
       215:{1,4,6,7}:{(199,1),(200,1),(201,1),(220,1),(223,1)}
       216:{2,4,6}:{(203,1),(205,1),(208,1),(224,1)}
       217:{2,4,7}:{(204,1),(206,1),(209,1)}
       218:{2,3,6,7}:{(205,1),(206,1),(207,1),(212,1),(225,1)}
       219:{3,5,6}:{(208,1),(214,1),(224,1),(226,1),(227,1)}
       220:{3,4,6,7}:{(208,1),(209,1),(212,1),(215,1),(225,1),(227,1),(228,1)}
       221:{4,6}:{(210,1),(211,1)}
       222:{3,5,6,7}:{(211,1),(212,1),(213,1),(227,1),(228,1)}
       223:{1,5,7}:{(214,1),(215,1),(227,1)}
       224:{2,5,6}:{(216,1),(219,1),(229,1)}
       225:{2,4,6,7}:{(216,1),(217,1),(218,1),(220,1),(229,1)}
       226:{4,5,6}:{(219,1),(221,1),(230,1)}
       227:{3,5,7}:{(219,1),(220,1),(223,1),(229,1),(230,1)}
       228:{4,6,7}:{(221,1),(222,1),(230,1)}
       229:{2,5,7}:{(224,1),(225,1),(227,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

1307 :   0:{1,4,5,6,7}:{(1,1),(8,1),(195,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(4,1),(202,1)}
         2:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(32,1),(193,1)}
         3:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(27,1),(32,1),(163,1)}
         4:{2,5,6,7}:{(1,1),(9,1),(206,1)}
         5:{3,4,5,6}:{(7,1),(11,1),(12,1),(37,1),(168,1),(193,1)}
         6:{1,3,4,5,7}:{(13,1),(14,1),(27,1),(62,1),(72,1),(75,1),(108,1),(122,1),(158,1),(162,1)}
         7:{3,4,5,7}:{(2,1),(5,1),(15,1),(16,1),(45,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(181,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(18,1),(200,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(19,1),(20,1),(43,1),(87,1),(138,1)}
        11:{1,4,5,6}:{(5,1),(15,1),(21,1),(148,1),(181,1)}
        12:{2,4,5,6}:{(5,1),(16,1),(22,1),(183,1),(200,1)}
        13:{1,3,4,6}:{(6,1),(21,1),(24,1),(53,1),(135,1),(179,1),(181,1)}
        14:{1,2,4,5,7}:{(6,1),(24,1),(25,1),(43,1),(56,1),(82,1),(93,1),(97,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(11,1),(27,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(12,1),(28,1)}
        17:{1,3,4,6,7}:{(8,1),(13,1),(27,1),(30,1),(32,1),(62,1),(65,1)}
        18:{2,3,6,7}:{(9,1),(28,1),(31,1),(32,1),(191,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(29,1),(31,1),(32,1),(33,1),(65,1),(159,1)}
        20:{2,3,5,6,7}:{(10,1),(32,1),(33,1),(60,1),(66,1),(112,1)}
        21:{1,3,5,6}:{(11,1),(13,1),(27,1),(35,1),(37,1),(113,1),(122,1)}
        22:{2,3,5,6}:{(12,1),(28,1),(34,1),(36,1),(37,1),(165,1),(191,1)}
        23:{1,2,4,5,6}:{(11,1),(12,1),(29,1),(35,1),(36,1),(37,1),(67,1),(70,1),(71,1),(113,1),(118,1),(159,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(35,1),(38,1),(70,1)}
        25:{2,3,5,7}:{(14,1),(38,1),(40,1),(74,1),(158,1)}
        26:{2,3,4,5}:{(34,1),(41,1),(72,1),(127,1),(165,1)}
        27:{1,3,5,7}:{(15,1),(17,1),(21,1),(43,1),(45,1),(87,1)}
        28:{2,3,5,7}:{(16,1),(18,1),(22,1),(42,1),(44,1),(45,1)}
        29:{1,2,4,5,7}:{(15,1),(16,1),(19,1),(23,1),(43,1),(44,1),(45,1),(49,1),(82,1),(83,1),(87,1)}
        30:{1,2,4,6,7}:{(17,1),(24,1),(43,1),(46,1),(82,1)}
        31:{1,2,6,7}:{(18,1),(44,1),(47,1),(176,1)}
        32:{3,6,7}:{(19,1),(45,1),(179,1)}
        33:{2,4,6,7}:{(20,1),(48,1),(49,1),(82,1),(134,1)}
        34:{2,3,4,6}:{(22,1),(26,1),(42,1),(50,1),(53,1)}
        35:{1,2,5,6}:{(21,1),(24,1),(43,1),(51,1),(97,1)}
        36:{1,2,5,6}:{(22,1),(44,1),(50,1),(52,1),(142,1),(176,1)}
        37:{3,5,6}:{(23,1),(45,1),(53,1),(144,1),(179,1)}
        38:{2,3,6}:{(24,1),(25,1),(179,1)}
        39:{1,2,3,5,7}:{(25,1),(54,1),(56,1),(97,1),(99,1)}
        40:{2,3,4,7}:{(25,1),(55,1),(56,1),(82,1),(132,1)}
        41:{1,2,4,5}:{(26,1),(50,1),(58,1),(94,1),(102,1),(142,1)}
        42:{2,3,4,7}:{(28,1),(34,1),(59,1),(62,1)}
        43:{1,2,5,7}:{(27,1),(30,1),(35,1),(60,1)}
        44:{1,2,5,7}:{(28,1),(31,1),(36,1),(59,1),(61,1)}
        45:{3,5,7}:{(29,1),(32,1),(37,1),(62,1)}
        46:{2,3,6,7}:{(30,1),(32,1),(38,1),(60,1)}
        47:{1,3,6,7}:{(31,1),(32,1),(61,1),(65,1),(157,1)}
        48:{3,4,6,7}:{(32,1),(33,1),(62,1),(65,1),(66,1),(109,1)}
        49:{2,4,5,7}:{(33,1),(66,1),(67,1)}
        50:{1,2,4,6}:{(34,1),(36,1),(41,1),(59,1),(68,1),(71,1)}
        51:{2,3,5,6}:{(35,1),(37,1),(38,1),(60,1),(70,1),(74,1)}
        52:{1,3,5,6}:{(36,1),(37,1),(61,1),(68,1),(71,1),(113,1),(116,1),(157,1)}
        53:{3,4,6}:{(37,1),(62,1),(70,1),(71,1),(72,1)}
        54:{1,2,3,6}:{(38,1),(39,1),(73,1),(125,1)}
        55:{2,3,4,6}:{(38,1),(40,1),(70,1),(73,1),(74,1),(117,1)}
        56:{1,2,4,7}:{(39,1),(40,1),(73,1),(75,1)}
        57:{2,3,4,5,7}:{(40,1),(74,1),(76,1),(77,1),(107,1),(124,1),(158,1),(168,1),(190,1),(199,1)}
        58:{1,3,5}:{(41,1),(68,1),(79,1)}
        59:{1,2,4,7}:{(42,1),(44,1),(50,1),(80,1),(83,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(46,1),(51,1),(82,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(47,1),(52,1),(80,1),(83,1),(87,1)}
        62:{3,4,7}:{(45,1),(53,1),(82,1),(83,1)}
        63:{1,2,3,6,7}:{(46,1),(47,1),(54,1),(81,1),(85,1),(151,1),(176,1),(179,1),(201,1)}
        64:{2,3,4,6,7}:{(46,1),(48,1),(55,1),(82,1),(85,1),(86,1),(132,1),(134,1),(179,1)}
        65:{1,4,6,7}:{(47,1),(48,1),(83,1),(87,1),(135,1)}
        66:{3,5,7}:{(48,1),(49,1),(87,1),(88,1)}
        67:{2,4,5,6}:{(49,1),(88,1),(134,1)}
        68:{1,3,6}:{(50,1),(58,1),(80,1)}
        69:{1,2,3,5,6}:{(51,1),(52,1),(54,1),(81,1),(90,1),(92,1),(97,1),(138,1),(142,1),(144,1),(149,1),(176,1),(179,1),(184,1)}
        70:{2,4,6}:{(51,1),(53,1),(82,1),(93,1)}
        71:{1,4,6}:{(52,1),(53,1),(83,1),(94,1)}
        72:{3,4,5}:{(53,1),(93,1),(94,1),(144,1)}
        73:{1,2,4,6}:{(54,1),(55,1),(56,1),(96,1),(97,1)}
        74:{2,3,5}:{(55,1),(93,1),(97,1),(144,1)}
        75:{1,3,4,7}:{(56,1),(96,1),(99,1),(132,1),(188,1)}
        76:{1,2,4,5,7}:{(56,1),(57,1),(97,1),(99,1),(100,1),(148,1),(150,1),(188,1)}
        77:{2,3,4,6}:{(57,1),(98,1),(100,1),(134,1),(179,1),(186,1),(200,1)}
        78:{1,2,3,5}:{(58,1),(90,1),(102,1),(142,1),(152,1)}
        79:{1,3,4}:{(58,1),(102,1)}
        80:{1,3,7}:{(59,1),(68,1)}
        81:{1,2,3,5,7}:{(60,1),(61,1),(63,1),(69,1),(104,1),(106,1),(111,1),(156,1),(158,1),(172,1),(198,1)}
        82:{2,4,7}:{(60,1),(62,1),(70,1)}
        83:{1,4,7}:{(61,1),(62,1),(71,1)}
        84:{3,4,5,7}:{(62,1),(66,1),(72,1),(107,1),(108,1),(109,1),(158,1)}
        85:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(73,1),(106,1),(110,1),(111,1),(159,1),(207,1)}
        86:{2,3,5,7}:{(64,1),(66,1),(74,1),(107,1),(111,1),(112,1),(158,1)}
        87:{1,5,7}:{(65,1),(66,1),(113,1)}
        88:{3,5,6}:{(66,1),(67,1),(109,1),(113,1)}
        89:{2,4,5,6,7}:{(67,1),(114,1),(160,1)}
        90:{1,2,3,6}:{(68,1),(78,1),(104,1),(115,1),(173,1)}
        91:{1,3,4,6}:{(68,1),(71,1),(79,1),(105,1),(115,1),(116,1),(117,1),(157,1)}
        92:{1,2,4,6}:{(69,1),(70,1),(71,1),(106,1),(117,1),(118,1),(171,1),(197,1)}
        93:{2,4,5}:{(70,1),(72,1),(74,1)}
        94:{1,4,5}:{(71,1),(72,1),(116,1)}
        95:{3,4,5,6}:{(72,1),(109,1),(119,1),(120,1),(121,1),(169,1)}
        96:{1,3,4,6}:{(73,1),(75,1),(117,1),(122,1),(125,1),(171,1)}
        97:{1,2,5}:{(73,1),(74,1),(122,1)}
        98:{2,3,5,6}:{(74,1),(77,1),(119,1),(123,1),(124,1),(169,1),(206,1)}
        99:{1,3,5,7}:{(75,1),(76,1),(122,1),(125,1),(158,1)}
       100:{1,2,4,6}:{(76,1),(77,1),(123,1),(125,1),(171,1)}
       101:{2,3,4,6,7}:{(77,1),(124,1),(126,1),(160,1),(194,1),(199,1),(207,1)}
       102:{1,2,4}:{(78,1),(79,1),(127,1)}
       103:{1,3,4,5}:{(79,1),(116,1),(128,1),(129,1),(168,1)}
       104:{1,2,3,7}:{(80,1),(90,1),(130,1),(189,1)}
       105:{1,3,4,7}:{(80,1),(83,1),(91,1),(130,1),(131,1),(132,1)}
       106:{1,2,4,7}:{(81,1),(82,1),(83,1),(92,1),(132,1),(188,1),(205,1)}
       107:{2,4,5,7}:{(82,1),(84,1),(86,1),(93,1),(134,1)}
       108:{1,4,5,7}:{(83,1),(84,1),(87,1),(94,1),(131,1),(135,1)}
       109:{3,4,6}:{(84,1),(88,1),(134,1),(135,1),(179,1)}
       110:{1,3,4,6,7}:{(85,1),(96,1),(132,1),(137,1),(151,1),(179,1),(181,1),(188,1),(203,1)}
       111:{1,2,5,7}:{(85,1),(86,1),(87,1),(97,1),(137,1),(138,1),(209,1)}
       112:{2,3,5,6}:{(86,1),(88,1),(134,1),(138,1),(179,1)}
       113:{1,5,6}:{(87,1),(88,1),(135,1)}
       114:{3,5,6,7}:{(88,1),(89,1),(136,1),(140,1)}
       115:{1,2,4,6}:{(90,1),(91,1),(102,1),(130,1),(141,1),(142,1),(176,1)}
       116:{1,3,5}:{(91,1),(94,1),(142,1),(144,1)}
       117:{3,4,6}:{(92,1),(132,1),(144,1),(179,1)}
       118:{1,2,4,5}:{(92,1),(93,1),(94,1),(97,1),(142,1),(144,1),(148,1),(183,1)}
       119:{2,4,5,6}:{(93,1),(95,1),(98,1),(134,1),(146,1)}
       120:{1,4,5,6}:{(94,1),(95,1),(135,1),(143,1),(147,1)}
       121:{3,4,5,7}:{(95,1),(136,1),(146,1),(147,1),(187,1)}
       122:{1,3,5}:{(96,1),(97,1),(144,1),(148,1)}
       123:{1,2,5,6}:{(97,1),(98,1),(100,1),(149,1),(150,1)}
       124:{2,3,5,7}:{(98,1),(101,1),(146,1),(150,1),(187,1),(209,1)}
       125:{1,3,6}:{(99,1),(100,1),(179,1)}
       126:{1,2,4,6,7}:{(100,1),(101,1),(150,1),(151,1),(188,1)}
       127:{2,3,4}:{(102,1),(152,1)}
       128:{1,2,4,5}:{(102,1),(103,1),(142,1),(152,1),(153,1),(183,1)}
       129:{1,3,4,6}:{(103,1),(143,1),(153,1),(154,1),(186,1)}
       130:{1,2,4,7}:{(104,1),(105,1),(115,1),(155,1),(156,1)}
       131:{1,3,5,7}:{(105,1),(108,1),(116,1),(156,1),(157,1),(158,1)}
       132:{3,4,7}:{(106,1),(117,1),(158,1)}
       133:{1,2,4,5,7}:{(106,1),(107,1),(108,1),(111,1),(118,1),(156,1),(158,1),(159,1),(162,1),(190,1)}
       134:{2,4,6}:{(107,1),(109,1),(112,1)}
       135:{1,4,6}:{(108,1),(109,1),(113,1),(157,1)}
       136:{3,4,6,7}:{(109,1),(114,1),(121,1),(160,1),(161,1),(194,1)}
       137:{1,3,5,7}:{(110,1),(111,1),(122,1),(158,1),(162,1),(163,1),(208,1)}
       138:{1,2,5,6}:{(111,1),(112,1),(113,1),(159,1),(163,1),(206,1)}
       139:{2,3,5,6,7}:{(112,1),(114,1),(124,1),(160,1),(164,1),(194,1)}
       140:{1,5,6,7}:{(113,1),(114,1),(161,1)}
       141:{2,3,4,6}:{(115,1),(117,1),(127,1),(155,1),(165,1),(173,1),(191,1),(197,1)}
       142:{1,2,5}:{(115,1),(116,1),(165,1)}
       143:{1,3,5,6}:{(116,1),(120,1),(129,1),(157,1),(166,1),(167,1),(169,1)}
       144:{3,5}:{(117,1),(118,1)}
       145:{1,2,4,5,6}:{(118,1),(119,1),(120,1),(123,1),(159,1),(166,1),(169,1),(170,1),(171,1),(195,1),(197,1),(206,1)}
       146:{2,4,5,7}:{(119,1),(121,1),(124,1),(160,1)}
       147:{1,4,5,7}:{(120,1),(121,1),(161,1),(167,1)}
       148:{1,4,5}:{(122,1),(168,1),(171,1)}
       149:{1,3,5,6}:{(122,1),(123,1),(125,1),(169,1),(171,1),(172,1)}
       150:{1,2,5,7}:{(123,1),(124,1),(126,1),(172,1)}
       151:{1,3,6,7}:{(125,1),(126,1),(172,1),(194,1)}
       152:{2,3,5}:{(127,1),(128,1),(173,1)}
       153:{1,2,4,6}:{(128,1),(129,1),(166,1),(173,1),(174,1),(197,1)}
       154:{1,3,4,7}:{(129,1),(167,1),(174,1),(199,1)}
       155:{2,3,4,7}:{(130,1),(132,1),(141,1),(175,1),(189,1),(205,1)}
       156:{1,2,5,7}:{(130,1),(131,1),(142,1),(175,1),(176,1)}
       157:{1,3,6}:{(131,1),(135,1),(176,1),(179,1)}
       158:{3,5,7}:{(132,1),(133,1),(144,1),(179,1)}
       159:{1,2,4,6}:{(133,1),(134,1),(135,1),(138,1),(176,1),(179,1),(181,1),(200,1)}
       160:{2,4,6,7}:{(134,1),(136,1),(139,1),(146,1)}
       161:{1,4,6,7}:{(135,1),(136,1),(140,1),(147,1),(177,1)}
       162:{1,4,5,7}:{(137,1),(148,1),(178,1),(181,1),(188,1)}
       163:{1,3,5,6}:{(137,1),(138,1),(179,1),(181,1),(202,1)}
       164:{1,2,5,6,7}:{(138,1),(139,1),(140,1),(150,1),(180,1),(182,1),(209,1)}
       165:{2,3,5}:{(141,1),(142,1),(144,1),(183,1)}
       166:{1,2,5,6}:{(142,1),(143,1),(153,1),(176,1),(184,1),(185,1)}
       167:{1,3,5,7}:{(143,1),(147,1),(154,1),(177,1),(185,1),(187,1)}
       168:{3,4,5}:{(144,1),(148,1),(183,1),(186,1)}
       169:{3,5,6}:{(144,1),(145,1),(179,1),(186,1),(187,1)}
       170:{1,2,4,5,7}:{(145,1),(146,1),(147,1),(150,1),(180,1),(185,1),(187,1),(188,1),(204,1),(205,1),(209,1)}
       171:{1,4,6}:{(148,1),(149,1),(186,1),(188,1)}
       172:{1,3,5,7}:{(149,1),(150,1),(151,1),(187,1),(188,1)}
       173:{2,3,6}:{(152,1),(153,1),(189,1)}
       174:{1,2,4,7}:{(153,1),(154,1),(185,1),(189,1),(205,1)}
       175:{2,3,5,7}:{(155,1),(156,1),(158,1),(165,1),(190,1),(191,1)}
       176:{1,2,6}:{(156,1),(157,1),(191,1)}
       177:{1,3,6,7}:{(157,1),(161,1),(167,1),(192,1),(194,1)}
       178:{3,4,5,7}:{(158,1),(162,1),(168,1),(190,1),(193,1),(199,1),(208,1)}
       179:{3,6}:{(158,1),(159,1)}
       180:{1,2,4,6,7}:{(159,1),(160,1),(161,1),(164,1),(170,1),(192,1),(194,1),(196,1),(207,1)}
       181:{1,4,6}:{(162,1),(163,1),(193,1)}
       182:{1,3,5,6,7}:{(163,1),(164,1),(172,1),(194,1),(196,1),(208,1)}
       183:{2,4,5}:{(165,1),(168,1),(197,1)}
       184:{2,3,5,6}:{(165,1),(166,1),(169,1),(173,1),(191,1),(197,1),(198,1),(206,1)}
       185:{1,2,5,7}:{(166,1),(167,1),(174,1),(192,1),(198,1)}
       186:{3,4,6}:{(168,1),(169,1),(171,1),(197,1),(199,1)}
       187:{3,5,7}:{(169,1),(170,1),(194,1),(199,1)}
       188:{1,4,7}:{(171,1),(172,1),(199,1)}
       189:{2,3,7}:{(173,1),(174,1)}
       190:{2,4,5,7}:{(175,1),(178,1),(183,1),(200,1),(205,1),(209,1)}
       191:{2,3,6}:{(175,1),(176,1),(179,1),(200,1)}
       192:{1,2,6,7}:{(176,1),(177,1),(185,1),(201,1)}
       193:{3,4,6}:{(178,1),(179,1),(181,1),(200,1),(202,1)}
       194:{3,6,7}:{(179,1),(180,1),(187,1)}
       195:{1,4,5,6}:{(181,1),(202,1),(204,1)}
       196:{1,4,6,7}:{(181,1),(182,1),(188,1),(203,1),(204,1)}
       197:{2,4,6}:{(183,1),(184,1),(186,1),(205,1)}
       198:{2,3,5,7}:{(184,1),(185,1),(187,1),(189,1),(201,1),(205,1),(209,1)}
       199:{3,4,7}:{(186,1),(187,1),(188,1),(205,1)}
       200:{2,4,6}:{(190,1),(191,1),(193,1),(206,1)}
       201:{2,3,6,7}:{(191,1),(192,1),(194,1),(198,1),(207,1)}
       202:{3,5,6}:{(193,1),(195,1),(206,1),(208,1)}
       203:{3,4,6,7}:{(193,1),(194,1),(196,1),(199,1),(207,1),(208,1)}
       204:{1,4,5,7}:{(195,1),(196,1),(208,1)}
       205:{2,4,7}:{(197,1),(198,1),(199,1)}
       206:{2,5,6}:{(200,1),(202,1),(209,1)}
       207:{2,4,6,7}:{(200,1),(201,1),(203,1),(205,1),(209,1)}
       208:{3,5,7}:{(202,1),(203,1),(204,1),(209,1)}
       209:{2,5,7}:{(206,1),(207,1),(208,1)}

1308 :   0:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(34,1),(72,1),(76,1),(83,1),(119,1),(122,1),(127,1)}
         1:{1,2,4,5,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(50,1),(56,1),(60,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(6,1),(61,1),(145,1),(148,1),(153,1)}
         3:{1,3,4,6,7}:{(2,1),(7,1),(8,1),(27,1),(65,1),(72,1),(116,1)}
         4:{2,3,5,7}:{(1,1),(10,1),(11,1),(39,1),(122,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(40,1)}
         6:{1,3,5,6}:{(2,1),(8,1),(12,1),(13,1),(41,1),(76,1),(167,1)}
         7:{1,2,4,6,7}:{(3,1),(5,1),(16,1),(17,1),(50,1)}
         8:{1,3,5,7}:{(3,1),(6,1),(17,1),(18,1),(51,1),(143,1)}
         9:{1,2,3,5,7}:{(4,1),(19,1),(20,1),(53,1),(56,1)}
        10:{2,3,4,7}:{(4,1),(19,1),(22,1),(50,1),(94,1)}
        11:{2,3,6}:{(4,1),(5,1),(148,1)}
        12:{1,2,5,6}:{(5,1),(6,1),(17,1),(23,1),(56,1)}
        13:{1,4,5,6}:{(6,1),(18,1),(25,1),(103,1),(145,1)}
        14:{1,3,5,6,7}:{(8,1),(26,1),(27,1),(28,1),(65,1),(118,1)}
        15:{1,4,5,6,7}:{(27,1),(28,1),(168,1)}
        16:{2,3,6,7}:{(7,1),(11,1),(31,1),(65,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(12,1),(31,1)}
        18:{1,4,5,7}:{(8,1),(13,1),(27,1),(33,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(34,1),(36,1)}
        20:{1,2,3,6}:{(9,1),(11,1),(36,1),(75,1)}
        21:{2,3,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(71,1),(81,1),(122,1),(131,1),(171,1),(178,1)}
        22:{2,3,4,6}:{(10,1),(11,1),(36,1),(39,1),(40,1),(80,1)}
        23:{2,3,5,6}:{(11,1),(12,1),(31,1),(39,1),(40,1),(41,1)}
        24:{1,2,4,5,6}:{(12,1),(13,1),(32,1),(40,1),(41,1),(42,1),(79,1),(84,1),(86,1),(114,1),(121,1),(167,1)}
        25:{3,4,5,6}:{(13,1),(33,1),(41,1),(42,1),(131,1),(170,1)}
        26:{1,2,5,6,7}:{(14,1),(17,1),(43,1),(44,1),(46,1),(92,1),(143,1)}
        27:{1,4,6,7}:{(14,1),(18,1),(45,1),(145,1)}
        28:{3,5,6,7}:{(15,1),(45,1),(46,1),(189,1)}
        29:{1,2,3,6,7}:{(16,1),(20,1),(47,1),(48,1),(89,1),(101,1),(148,1),(193,1),(194,1)}
        30:{2,3,4,6,7}:{(16,1),(22,1),(47,1),(49,1),(50,1),(88,1),(94,1),(96,1),(148,1)}
        31:{2,3,5,7}:{(16,1),(17,1),(23,1),(50,1),(51,1)}
        32:{1,2,4,5,7}:{(17,1),(18,1),(24,1),(44,1),(50,1),(51,1),(52,1),(87,1),(98,1),(100,1),(143,1)}
        33:{3,4,5,7}:{(18,1),(25,1),(45,1),(51,1),(52,1)}
        34:{1,3,4,7}:{(19,1),(53,1),(54,1),(94,1),(155,1)}
        35:{1,2,4,5,7}:{(19,1),(21,1),(53,1),(55,1),(56,1),(103,1),(104,1),(155,1)}
        36:{1,2,4,6}:{(19,1),(20,1),(22,1),(54,1),(56,1)}
        37:{1,2,3,5,6}:{(20,1),(23,1),(48,1),(56,1),(57,1),(62,1),(92,1),(102,1),(106,1),(148,1),(161,1),(162,1),(163,1),(194,1)}
        38:{2,3,4,6}:{(21,1),(55,1),(59,1),(96,1),(148,1),(156,1),(191,1)}
        39:{2,3,5}:{(22,1),(56,1),(60,1),(106,1)}
        40:{2,4,6}:{(23,1),(50,1),(60,1),(61,1)}
        41:{3,5,6}:{(24,1),(51,1),(61,1),(106,1),(148,1)}
        42:{2,4,5,6}:{(25,1),(52,1),(63,1),(158,1),(191,1)}
        43:{2,3,5,6,7}:{(26,1),(31,1),(64,1),(65,1),(70,1),(115,1)}
        44:{1,2,4,6,7}:{(26,1),(27,1),(32,1),(64,1),(65,1),(66,1),(116,1),(117,1),(121,1)}
        45:{3,4,6,7}:{(27,1),(28,1),(33,1),(65,1),(66,1),(170,1)}
        46:{2,5,6,7}:{(28,1),(66,1),(202,1)}
        47:{1,2,4,6,7}:{(29,1),(30,1),(36,1),(67,1),(68,1),(69,1),(116,1),(121,1),(203,1)}
        48:{1,2,3,5,7}:{(29,1),(31,1),(37,1),(68,1),(69,1),(73,1),(122,1),(129,1),(175,1),(176,1),(183,1)}
        49:{2,3,5,7}:{(30,1),(39,1),(68,1),(70,1),(71,1),(115,1),(122,1)}
        50:{2,4,7}:{(31,1),(40,1),(72,1)}
        51:{3,5,7}:{(32,1),(41,1),(65,1),(72,1)}
        52:{2,4,5,7}:{(33,1),(42,1),(66,1),(74,1)}
        53:{1,3,5,7}:{(34,1),(35,1),(75,1),(76,1),(122,1)}
        54:{1,3,4,6}:{(34,1),(36,1),(75,1),(76,1),(80,1),(130,1)}
        55:{1,2,4,6}:{(35,1),(38,1),(75,1),(78,1),(130,1)}
        56:{1,2,5}:{(36,1),(39,1),(76,1)}
        57:{1,2,4,6}:{(37,1),(40,1),(69,1),(79,1),(80,1),(84,1),(130,1),(180,1)}
        58:{2,3,4,6,7}:{(38,1),(77,1),(81,1),(125,1),(172,1),(178,1),(203,1)}
        59:{2,3,5,6}:{(38,1),(39,1),(78,1),(81,1),(82,1),(133,1),(202,1)}
        60:{2,4,5}:{(39,1),(40,1),(83,1)}
        61:{3,4,6}:{(40,1),(41,1),(72,1),(83,1),(84,1)}
        62:{1,3,5,6}:{(41,1),(73,1),(84,1),(86,1),(134,1),(140,1),(167,1),(173,1)}
        63:{2,3,5,6}:{(41,1),(42,1),(74,1),(85,1),(86,1),(135,1),(174,1)}
        64:{2,4,6,7}:{(43,1),(50,1),(87,1),(88,1),(96,1)}
        65:{3,6,7}:{(44,1),(51,1),(148,1)}
        66:{2,4,6,7}:{(45,1),(46,1),(52,1),(90,1),(191,1)}
        67:{1,3,4,6,7}:{(47,1),(54,1),(91,1),(94,1),(101,1),(145,1),(148,1),(155,1),(190,1)}
        68:{1,2,5,7}:{(47,1),(49,1),(56,1),(91,1),(92,1),(143,1),(208,1)}
        69:{1,2,4,7}:{(48,1),(50,1),(57,1),(94,1),(98,1),(155,1),(196,1)}
        70:{2,3,5,6}:{(49,1),(92,1),(96,1),(142,1),(148,1)}
        71:{2,4,5,7}:{(49,1),(50,1),(60,1),(96,1),(97,1)}
        72:{3,4,7}:{(50,1),(51,1),(61,1),(98,1)}
        73:{1,3,5,7}:{(51,1),(62,1),(89,1),(98,1),(100,1),(143,1),(154,1)}
        74:{2,3,5,7}:{(51,1),(52,1),(63,1),(90,1),(99,1),(100,1)}
        75:{1,3,6}:{(53,1),(55,1),(148,1)}
        76:{1,3,5}:{(54,1),(56,1),(103,1),(106,1)}
        77:{1,2,4,6,7}:{(55,1),(58,1),(101,1),(104,1),(155,1)}
        78:{1,2,5,6}:{(55,1),(56,1),(59,1),(102,1),(104,1)}
        79:{1,2,4,5}:{(56,1),(57,1),(60,1),(103,1),(106,1),(111,1),(158,1),(162,1)}
        80:{3,4,6}:{(57,1),(94,1),(106,1),(148,1)}
        81:{2,3,5,7}:{(58,1),(59,1),(104,1),(109,1),(159,1),(208,1)}
        82:{2,4,5,6}:{(59,1),(60,1),(96,1),(109,1),(110,1)}
        83:{3,4,5}:{(60,1),(61,1),(106,1),(111,1)}
        84:{1,4,6}:{(61,1),(62,1),(98,1),(111,1)}
        85:{2,3,4,6}:{(61,1),(63,1),(99,1),(112,1),(113,1)}
        86:{1,2,5,6}:{(62,1),(63,1),(100,1),(113,1),(162,1),(194,1)}
        87:{2,4,5,7}:{(64,1),(114,1),(115,1)}
        88:{3,4,6,7}:{(64,1),(65,1),(72,1),(115,1),(116,1),(126,1)}
        89:{1,3,6,7}:{(65,1),(73,1),(116,1),(117,1),(173,1)}
        90:{2,3,6,7}:{(65,1),(66,1),(74,1),(117,1),(174,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(76,1),(118,1),(119,1),(122,1),(201,1)}
        92:{1,2,5,6}:{(68,1),(70,1),(118,1),(121,1),(167,1),(202,1)}
        93:{1,2,4,5,7}:{(68,1),(69,1),(71,1),(79,1),(119,1),(121,1),(122,1),(127,1),(171,1),(175,1)}
        94:{3,4,7}:{(69,1),(80,1),(122,1)}
        95:{2,3,5,6,7}:{(70,1),(81,1),(120,1),(125,1),(166,1),(172,1)}
        96:{2,4,6}:{(70,1),(71,1),(126,1)}
        97:{3,4,5,7}:{(71,1),(72,1),(83,1),(115,1),(122,1),(126,1),(127,1)}
        98:{1,4,7}:{(72,1),(73,1),(84,1)}
        99:{2,3,4,7}:{(72,1),(74,1),(85,1),(128,1)}
       100:{1,2,5,7}:{(73,1),(74,1),(86,1),(117,1),(128,1)}
       101:{1,3,6,7}:{(75,1),(77,1),(129,1),(172,1)}
       102:{1,3,5,6}:{(75,1),(76,1),(78,1),(129,1),(130,1),(133,1)}
       103:{1,4,5}:{(76,1),(130,1),(131,1)}
       104:{1,2,5,7}:{(77,1),(78,1),(81,1),(129,1)}
       105:{1,2,4,5,6}:{(78,1),(79,1),(82,1),(121,1),(130,1),(132,1),(133,1),(138,1),(168,1),(180,1),(184,1),(202,1)}
       106:{3,5}:{(79,1),(80,1)}
       107:{1,3,4,6}:{(80,1),(84,1),(123,1),(134,1),(136,1),(140,1),(173,1),(186,1)}
       108:{2,3,4,6}:{(80,1),(124,1),(135,1),(136,1),(174,1),(180,1),(206,1),(207,1)}
       109:{2,4,5,7}:{(81,1),(82,1),(125,1),(137,1)}
       110:{3,4,5,6}:{(82,1),(83,1),(126,1),(133,1),(137,1),(138,1)}
       111:{1,4,5}:{(83,1),(84,1),(134,1)}
       112:{2,3,4,5}:{(83,1),(85,1),(135,1),(139,1),(207,1)}
       113:{1,2,4,6}:{(84,1),(85,1),(86,1),(128,1),(139,1),(140,1)}
       114:{2,4,5,6}:{(87,1),(96,1),(142,1)}
       115:{3,5,7}:{(87,1),(88,1),(142,1),(143,1)}
       116:{1,4,6,7}:{(88,1),(89,1),(98,1),(143,1),(153,1)}
       117:{1,2,6,7}:{(89,1),(90,1),(100,1),(194,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(145,1),(148,1),(189,1)}
       119:{1,4,5,7}:{(91,1),(103,1),(145,1),(146,1),(155,1)}
       120:{1,2,5,6,7}:{(92,1),(95,1),(104,1),(144,1),(147,1),(187,1),(208,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(96,1),(145,1),(148,1),(153,1),(191,1),(194,1)}
       122:{3,5,7}:{(93,1),(94,1),(106,1),(148,1)}
       123:{1,3,4,7}:{(94,1),(98,1),(107,1),(149,1),(151,1),(154,1)}
       124:{2,3,4,7}:{(94,1),(108,1),(150,1),(151,1),(196,1),(209,1)}
       125:{2,4,6,7}:{(95,1),(96,1),(109,1),(152,1)}
       126:{3,4,6}:{(96,1),(97,1),(142,1),(148,1),(153,1)}
       127:{1,4,5,7}:{(97,1),(98,1),(111,1),(143,1),(149,1),(153,1)}
       128:{1,2,4,7}:{(98,1),(99,1),(100,1),(113,1),(154,1)}
       129:{1,3,5,7}:{(101,1),(102,1),(104,1),(155,1),(159,1)}
       130:{1,4,6}:{(102,1),(103,1),(155,1),(156,1)}
       131:{3,4,5}:{(103,1),(106,1),(156,1),(158,1)}
       132:{1,2,4,5,7}:{(104,1),(105,1),(109,1),(147,1),(155,1),(159,1),(164,1),(188,1),(196,1),(199,1),(208,1)}
       133:{3,5,6}:{(105,1),(106,1),(148,1),(156,1),(159,1)}
       134:{1,3,5}:{(106,1),(107,1),(111,1),(162,1)}
       135:{2,3,5}:{(106,1),(108,1),(158,1),(162,1)}
       136:{1,2,4,6}:{(107,1),(108,1),(151,1),(162,1),(163,1),(194,1),(200,1)}
       137:{3,4,5,7}:{(109,1),(110,1),(152,1),(159,1),(164,1)}
       138:{1,4,5,6}:{(110,1),(111,1),(153,1),(160,1),(164,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(113,1),(162,1),(165,1),(200,1)}
       140:{1,3,6}:{(113,1),(154,1),(165,1)}
       141:{2,4,5,6,7}:{(114,1),(125,1),(166,1)}
       142:{3,5,6}:{(114,1),(115,1),(126,1),(167,1)}
       143:{1,5,7}:{(115,1),(116,1),(167,1)}
       144:{1,3,5,6,7}:{(118,1),(120,1),(129,1),(169,1),(172,1),(201,1)}
       145:{1,4,6}:{(118,1),(119,1),(170,1)}
       146:{3,4,5,7}:{(119,1),(122,1),(131,1),(170,1),(171,1),(178,1),(201,1)}
       147:{1,2,4,6,7}:{(120,1),(121,1),(125,1),(132,1),(169,1),(172,1),(177,1),(203,1),(204,1)}
       148:{3,6}:{(121,1),(122,1)}
       149:{1,3,5,7}:{(122,1),(123,1),(127,1),(134,1),(173,1),(175,1)}
       150:{2,3,5,7}:{(122,1),(124,1),(135,1),(171,1),(174,1),(175,1)}
       151:{1,2,4,7}:{(123,1),(124,1),(136,1),(175,1),(176,1)}
       152:{3,4,6,7}:{(125,1),(126,1),(137,1),(166,1),(172,1),(177,1)}
       153:{1,4,6}:{(126,1),(127,1),(167,1),(173,1)}
       154:{1,3,7}:{(128,1),(140,1)}
       155:{1,4,7}:{(129,1),(130,1),(178,1)}
       156:{3,4,6}:{(130,1),(131,1),(133,1),(178,1),(180,1)}
       157:{1,3,4,5}:{(131,1),(134,1),(179,1),(181,1),(186,1)}
       158:{2,4,5}:{(131,1),(135,1),(180,1)}
       159:{3,5,7}:{(132,1),(133,1),(172,1),(178,1)}
       160:{1,3,5,6}:{(133,1),(134,1),(138,1),(173,1),(179,1),(182,1),(184,1)}
       161:{2,3,5,6}:{(133,1),(135,1),(174,1),(180,1),(183,1),(184,1),(202,1),(206,1)}
       162:{1,2,5}:{(134,1),(135,1),(136,1)}
       163:{1,2,3,6}:{(136,1),(140,1),(176,1),(185,1),(206,1)}
       164:{1,4,5,7}:{(137,1),(138,1),(177,1),(182,1)}
       165:{1,3,5}:{(139,1),(140,1),(186,1)}
       166:{3,5,6,7}:{(141,1),(142,1),(152,1),(187,1)}
       167:{1,5,6}:{(142,1),(143,1),(153,1)}
       168:{1,4,5,6}:{(145,1),(188,1),(189,1)}
       169:{1,4,6,7}:{(144,1),(145,1),(155,1),(188,1),(190,1)}
       170:{3,4,6}:{(145,1),(146,1),(148,1),(189,1),(191,1)}
       171:{2,4,5,7}:{(146,1),(150,1),(158,1),(191,1),(196,1),(208,1)}
       172:{3,6,7}:{(147,1),(148,1),(159,1)}
       173:{1,3,6}:{(148,1),(149,1),(153,1),(194,1)}
       174:{2,3,6}:{(148,1),(150,1),(191,1),(194,1)}
       175:{1,2,5,7}:{(149,1),(150,1),(151,1),(162,1),(194,1)}
       176:{1,2,3,7}:{(151,1),(154,1),(163,1),(209,1)}
       177:{1,4,6,7}:{(152,1),(153,1),(164,1),(187,1),(192,1)}
       178:{3,4,7}:{(155,1),(156,1),(159,1),(196,1)}
       179:{1,3,4,6}:{(156,1),(157,1),(160,1),(195,1),(197,1)}
       180:{2,4,6}:{(156,1),(158,1),(161,1),(196,1)}
       181:{1,2,4,5}:{(157,1),(158,1),(162,1),(197,1),(198,1),(200,1)}
       182:{1,3,5,7}:{(159,1),(160,1),(164,1),(192,1),(195,1),(199,1)}
       183:{2,3,5,7}:{(159,1),(161,1),(193,1),(196,1),(199,1),(208,1),(209,1)}
       184:{1,2,5,6}:{(160,1),(161,1),(162,1),(194,1),(197,1),(199,1)}
       185:{1,2,3,5}:{(162,1),(163,1),(165,1),(198,1),(200,1)}
       186:{1,3,4}:{(165,1),(200,1)}
       187:{1,5,6,7}:{(166,1),(167,1),(177,1)}
       188:{1,4,5,7}:{(168,1),(169,1),(201,1)}
       189:{3,5,6}:{(168,1),(170,1),(201,1),(202,1)}
       190:{3,4,6,7}:{(169,1),(170,1),(172,1),(178,1),(201,1),(203,1)}
       191:{2,4,6}:{(170,1),(171,1),(174,1),(202,1)}
       192:{1,3,6,7}:{(172,1),(173,1),(177,1),(182,1),(204,1)}
       193:{2,3,6,7}:{(172,1),(174,1),(183,1),(203,1),(204,1)}
       194:{1,2,6}:{(173,1),(174,1),(175,1)}
       195:{1,3,4,7}:{(178,1),(179,1),(182,1),(205,1)}
       196:{2,4,7}:{(178,1),(180,1),(183,1)}
       197:{1,2,4,6}:{(179,1),(180,1),(181,1),(184,1),(205,1),(206,1)}
       198:{2,3,5}:{(181,1),(206,1),(207,1)}
       199:{1,2,5,7}:{(182,1),(183,1),(184,1),(204,1),(205,1)}
       200:{1,2,4}:{(185,1),(186,1),(207,1)}
       201:{3,5,7}:{(188,1),(189,1),(190,1),(208,1)}
       202:{2,5,6}:{(189,1),(191,1),(208,1)}
       203:{2,4,6,7}:{(190,1),(191,1),(193,1),(196,1),(208,1)}
       204:{1,2,6,7}:{(192,1),(193,1),(194,1),(199,1)}
       205:{1,2,4,7}:{(195,1),(196,1),(197,1),(199,1),(209,1)}
       206:{2,3,6}:{(197,1),(198,1),(209,1)}
       207:{2,3,4}:{(198,1),(200,1)}
       208:{2,5,7}:{(201,1),(202,1),(203,1)}
       209:{2,3,7}:{(205,1),(206,1)}

1309 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(16,1),(17,1),(20,1),(21,1),(36,1),(68,1),(95,1),(96,1),(103,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(118,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(18,1),(19,1),(20,1),(130,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(15,1),(68,1),(97,1),(129,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(26,1),(27,1),(28,1)}
         5:{3,5,7}:{(2,1),(3,1),(9,1),(136,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(58,1),(62,1),(84,1),(92,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(58,1),(62,1),(83,1),(91,1),(111,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(34,1),(35,1),(36,1),(65,1),(102,1)}
         9:{3,5,6}:{(4,1),(5,1),(15,1)}
        10:{3,4,5,7}:{(5,1),(15,1),(18,1),(19,1),(45,1),(97,1),(106,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1),(45,1),(109,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(45,1),(108,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(41,1),(46,1),(107,1)}
        14:{3,5,6,7}:{(8,1),(9,1),(22,1),(82,1),(117,1)}
        15:{3,4,6}:{(9,1),(10,1),(26,1),(27,1),(58,1)}
        16:{1,3,5,6}:{(9,1),(11,1),(26,1),(28,1),(58,1)}
        17:{2,3,5,6}:{(9,1),(12,1),(27,1),(28,1),(58,1)}
        18:{1,4,5,7}:{(10,1),(11,1),(26,1),(112,1),(120,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(27,1),(111,1),(119,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(28,1),(121,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(58,1),(83,1),(84,1),(90,1)}
        22:{3,4,6,7}:{(14,1),(15,1),(33,1),(34,1),(35,1),(68,1),(97,1),(125,1)}
        23:{1,3,5,6,7}:{(14,1),(16,1),(34,1),(36,1),(63,1),(68,1),(96,1),(128,1)}
        24:{2,3,5,6,7}:{(14,1),(17,1),(35,1),(36,1),(64,1),(68,1),(95,1),(127,1)}
        25:{3,4,5,6}:{(15,1),(33,1),(37,1),(38,1),(72,1),(106,1),(125,1)}
        26:{1,4,6}:{(15,1),(16,1),(18,1)}
        27:{2,4,6}:{(15,1),(17,1),(19,1)}
        28:{1,2,5,6}:{(16,1),(17,1),(20,1),(41,1)}
        29:{1,3,4,5,7}:{(18,1),(39,1),(43,1),(45,1),(63,1),(79,1),(97,1),(106,1),(109,1),(124,1),(137,1)}
        30:{2,3,4,5,7}:{(19,1),(40,1),(44,1),(45,1),(64,1),(78,1),(97,1),(106,1),(108,1),(123,1),(137,1)}
        31:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(41,1),(45,1),(46,1),(76,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(42,1),(45,1),(46,1),(95,1),(96,1)}
        33:{3,4,5,7}:{(22,1),(25,1),(47,1),(48,1),(82,1)}
        34:{1,4,6,7}:{(22,1),(23,1),(26,1),(47,1),(112,1),(134,1)}
        35:{2,4,6,7}:{(22,1),(24,1),(27,1),(48,1),(111,1),(133,1)}
        36:{1,2,5,6,7}:{(23,1),(24,1),(28,1),(51,1),(80,1),(81,1),(135,1)}
        37:{1,4,5,6}:{(25,1),(26,1),(47,1),(53,1),(120,1),(134,1)}
        38:{2,4,5,6}:{(25,1),(27,1),(48,1),(54,1),(119,1),(133,1)}
        39:{1,3,4,6}:{(26,1),(29,1),(53,1),(56,1),(58,1),(89,1),(134,1),(139,1)}
        40:{2,3,4,6}:{(27,1),(30,1),(54,1),(57,1),(58,1),(89,1),(133,1),(139,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(58,1)}
        42:{1,2,3,5,6}:{(28,1),(32,1),(58,1),(59,1),(87,1),(88,1),(90,1),(93,1),(121,1)}
        43:{1,2,4,5,7}:{(29,1),(56,1),(60,1),(80,1),(94,1),(111,1),(119,1),(121,1)}
        44:{1,2,4,5,7}:{(30,1),(57,1),(61,1),(81,1),(94,1),(112,1),(120,1),(121,1)}
        45:{3,5,7}:{(31,1),(58,1),(62,1),(93,1)}
        46:{1,2,4,7}:{(32,1),(59,1),(62,1),(111,1),(112,1)}
        47:{1,4,5,7}:{(33,1),(34,1),(37,1),(63,1)}
        48:{2,4,5,7}:{(33,1),(35,1),(38,1),(64,1)}
        49:{1,3,4,6,7}:{(34,1),(39,1),(63,1),(66,1),(68,1),(97,1)}
        50:{2,3,4,6,7}:{(35,1),(40,1),(64,1),(67,1),(68,1),(97,1)}
        51:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(41,1),(65,1),(68,1),(138,1)}
        52:{1,2,3,5,6,7}:{(36,1),(42,1),(68,1),(69,1),(95,1),(96,1),(98,1),(101,1),(126,1),(127,1),(128,1)}
        53:{1,3,5,6}:{(37,1),(39,1),(63,1),(70,1),(72,1),(109,1)}
        54:{2,3,5,6}:{(38,1),(40,1),(64,1),(71,1),(72,1),(108,1)}
        55:{1,2,4,5,6}:{(37,1),(38,1),(41,1),(65,1),(70,1),(71,1),(72,1),(76,1),(104,1),(105,1),(130,1),(138,1)}
        56:{1,2,4,6}:{(39,1),(43,1),(70,1),(73,1),(104,1)}
        57:{1,2,4,6}:{(40,1),(44,1),(71,1),(74,1),(105,1)}
        58:{3,6}:{(41,1),(45,1)}
        59:{1,2,4,6}:{(42,1),(46,1),(75,1),(76,1),(104,1),(105,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(73,1),(78,1),(108,1),(137,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(74,1),(79,1),(109,1),(137,1)}
        62:{3,4,7}:{(45,1),(46,1),(75,1)}
        63:{1,3,5,7}:{(47,1),(49,1),(53,1),(80,1),(82,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(54,1),(81,1),(82,1)}
        65:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(55,1),(80,1),(81,1),(82,1),(111,1),(112,1)}
        66:{1,2,4,6,7}:{(49,1),(56,1),(80,1),(83,1),(111,1)}
        67:{1,2,4,6,7}:{(50,1),(57,1),(81,1),(84,1),(112,1)}
        68:{3,6,7}:{(51,1),(58,1),(82,1),(139,1)}
        69:{1,2,4,6,7}:{(52,1),(59,1),(85,1),(86,1),(111,1),(112,1),(133,1),(134,1)}
        70:{1,2,5,6}:{(53,1),(56,1),(80,1),(87,1),(121,1)}
        71:{1,2,5,6}:{(54,1),(57,1),(81,1),(88,1),(121,1)}
        72:{3,5,6}:{(55,1),(58,1),(82,1),(89,1),(93,1),(136,1),(139,1)}
        73:{2,3,6}:{(56,1),(58,1),(60,1),(139,1)}
        74:{1,3,6}:{(57,1),(58,1),(61,1),(139,1)}
        75:{3,4,6}:{(58,1),(59,1),(62,1),(93,1)}
        76:{1,2,4,5}:{(59,1),(93,1),(119,1),(120,1),(121,1)}
        77:{1,2,3,5,7}:{(60,1),(61,1),(90,1),(94,1),(121,1)}
        78:{2,3,4,7}:{(60,1),(62,1),(91,1),(94,1),(111,1),(131,1)}
        79:{1,3,4,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(131,1)}
        80:{1,2,5,7}:{(63,1),(66,1),(70,1),(95,1)}
        81:{1,2,5,7}:{(64,1),(67,1),(71,1),(96,1)}
        82:{3,5,7}:{(65,1),(68,1),(72,1),(97,1)}
        83:{2,3,6,7}:{(66,1),(68,1),(73,1),(95,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(74,1),(96,1)}
        85:{3,4,6,7}:{(68,1),(69,1),(75,1),(97,1),(101,1),(125,1)}
        86:{1,2,4,5,7}:{(69,1),(76,1),(101,1),(102,1),(123,1),(124,1),(126,1)}
        87:{2,3,5,6}:{(70,1),(72,1),(73,1),(95,1),(104,1),(108,1)}
        88:{1,3,5,6}:{(71,1),(72,1),(74,1),(96,1),(105,1),(109,1)}
        89:{3,4,6}:{(72,1),(97,1),(104,1),(105,1),(106,1)}
        90:{1,2,3,6}:{(73,1),(74,1),(77,1),(107,1)}
        91:{2,3,4,6}:{(73,1),(75,1),(78,1),(104,1),(107,1),(108,1),(129,1)}
        92:{1,3,4,6}:{(74,1),(75,1),(79,1),(105,1),(107,1),(109,1),(129,1)}
        93:{3,5}:{(75,1),(76,1)}
        94:{1,2,4,7}:{(77,1),(78,1),(79,1),(107,1)}
        95:{2,3,5,7}:{(80,1),(82,1),(83,1),(87,1),(111,1)}
        96:{1,3,5,7}:{(81,1),(82,1),(84,1),(88,1),(112,1)}
        97:{3,4,7}:{(82,1),(89,1),(111,1),(112,1)}
        98:{1,2,3,6,7}:{(83,1),(84,1),(90,1),(110,1),(114,1),(139,1)}
        99:{2,3,4,6,7}:{(83,1),(85,1),(91,1),(111,1),(114,1),(115,1),(131,1),(133,1),(139,1)}
       100:{1,3,4,6,7}:{(84,1),(85,1),(92,1),(112,1),(114,1),(116,1),(131,1),(134,1),(139,1)}
       101:{3,5,7}:{(85,1),(86,1),(93,1),(117,1)}
       102:{1,2,4,5,6}:{(86,1),(117,1),(133,1),(134,1),(135,1)}
       103:{1,2,3,5,6}:{(87,1),(88,1),(90,1),(110,1),(118,1),(121,1),(135,1),(136,1),(139,1)}
       104:{2,4,6}:{(87,1),(89,1),(111,1),(119,1)}
       105:{1,4,6}:{(88,1),(89,1),(112,1),(120,1)}
       106:{3,4,5}:{(89,1),(93,1),(119,1),(120,1),(136,1)}
       107:{1,2,4,6}:{(90,1),(91,1),(92,1),(94,1),(121,1)}
       108:{2,3,5}:{(91,1),(93,1),(119,1),(121,1),(136,1)}
       109:{1,3,5}:{(92,1),(93,1),(120,1),(121,1),(136,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(103,1),(122,1),(126,1),(137,1)}
       111:{2,4,7}:{(95,1),(97,1),(104,1)}
       112:{1,4,7}:{(96,1),(97,1),(105,1)}
       113:{3,4,5,7}:{(97,1),(101,1),(106,1),(123,1),(124,1),(125,1),(137,1)}
       114:{1,2,4,6,7}:{(98,1),(99,1),(100,1),(107,1),(122,1),(126,1),(138,1)}
       115:{2,3,5,7}:{(99,1),(101,1),(108,1),(123,1),(126,1),(127,1),(137,1)}
       116:{1,3,5,7}:{(100,1),(101,1),(109,1),(124,1),(126,1),(128,1),(137,1)}
       117:{3,5,6}:{(101,1),(102,1),(125,1)}
       118:{1,2,4,6}:{(103,1),(104,1),(105,1),(122,1),(129,1),(130,1)}
       119:{2,4,5}:{(104,1),(106,1),(108,1)}
       120:{1,4,5}:{(105,1),(106,1),(109,1)}
       121:{1,2,5}:{(107,1),(108,1),(109,1)}
       122:{1,2,4,7}:{(110,1),(111,1),(112,1),(118,1),(131,1)}
       123:{2,4,5,7}:{(111,1),(113,1),(115,1),(119,1),(133,1)}
       124:{1,4,5,7}:{(112,1),(113,1),(116,1),(120,1),(134,1)}
       125:{3,4,6}:{(113,1),(117,1),(133,1),(134,1),(139,1)}
       126:{1,2,5,7}:{(114,1),(115,1),(116,1),(121,1),(135,1)}
       127:{2,3,5,6}:{(115,1),(117,1),(133,1),(135,1),(139,1)}
       128:{1,3,5,6}:{(116,1),(117,1),(134,1),(135,1),(139,1)}
       129:{3,4,6}:{(118,1),(131,1),(136,1),(139,1)}
       130:{1,2,4,5}:{(118,1),(119,1),(120,1),(121,1),(136,1)}
       131:{3,4,7}:{(122,1),(129,1),(137,1)}
       132:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(126,1),(130,1),(137,1),(138,1)}
       133:{2,4,6}:{(123,1),(125,1),(127,1)}
       134:{1,4,6}:{(124,1),(125,1),(128,1)}
       135:{1,2,5,6}:{(126,1),(127,1),(128,1),(138,1)}
       136:{3,5}:{(129,1),(130,1)}
       137:{3,5,7}:{(131,1),(132,1),(136,1),(139,1)}
       138:{1,2,4,6}:{(132,1),(133,1),(134,1),(135,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1310 :   0:{1,2,3,6}:{(3,1),(4,1),(5,1),(66,1),(125,1)}
         1:{2,3,4,6}:{(3,1),(6,1),(7,1),(24,1),(27,1),(31,1),(66,1),(76,1)}
         2:{1,3,4,6}:{(3,1),(8,1),(9,1),(24,1),(32,1),(36,1),(66,1),(76,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(2,1),(10,1),(11,1),(12,1),(44,1)}
         4:{1,2,3,5}:{(0,1),(10,1),(12,1),(42,1),(100,1),(105,1)}
         5:{1,2,3,7}:{(0,1),(11,1),(98,1),(151,1),(230,1)}
         6:{2,3,5}:{(1,1),(10,1),(15,1),(42,1),(109,1)}
         7:{2,3,4,7}:{(1,1),(11,1),(16,1),(47,1),(50,1),(98,1),(223,1)}
         8:{1,3,5}:{(2,1),(10,1),(18,1),(42,1),(109,1)}
         9:{1,3,4,7}:{(2,1),(11,1),(19,1),(47,1),(56,1),(98,1),(222,1)}
        10:{1,2,5}:{(3,1),(6,1),(8,1)}
        11:{1,2,4,7}:{(3,1),(5,1),(7,1),(9,1),(23,1),(228,1)}
        12:{1,2,4}:{(4,1),(24,1)}
        13:{1,2,3,5,7}:{(4,1),(5,1),(23,1),(25,1),(26,1),(71,1),(77,1),(130,1),(134,1),(179,1)}
        14:{2,3,5,6}:{(6,1),(21,1),(27,1),(28,1),(31,1),(37,1),(66,1),(83,1),(133,1)}
        15:{2,4,5}:{(6,1),(27,1),(29,1),(138,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(23,1),(30,1),(31,1),(71,1),(213,1),(226,1)}
        17:{1,3,5,6}:{(8,1),(21,1),(32,1),(33,1),(36,1),(64,1),(66,1),(89,1),(133,1)}
        18:{1,4,5}:{(8,1),(32,1),(34,1),(138,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(23,1),(35,1),(36,1),(71,1),(212,1),(225,1)}
        20:{2,4,5,6}:{(27,1),(37,1),(38,1),(83,1),(142,1)}
        21:{1,2,5,6}:{(10,1),(14,1),(17,1),(40,1),(41,1),(44,1),(61,1),(93,1)}
        22:{1,2,4,5}:{(10,1),(12,1),(15,1),(18,1),(40,1),(42,1),(52,1),(58,1),(100,1)}
        23:{1,2,5,7}:{(10,1),(11,1),(16,1),(19,1),(44,1),(224,1),(229,1)}
        24:{3,4}:{(12,1),(42,1)}
        25:{1,2,4,7}:{(12,1),(13,1),(47,1),(48,1),(195,1)}
        26:{1,2,3,6}:{(13,1),(44,1),(48,1),(103,1),(155,1)}
        27:{2,4,6}:{(14,1),(15,1),(49,1),(50,1),(158,1)}
        28:{2,3,5,7}:{(14,1),(41,1),(50,1),(51,1),(62,1),(98,1),(112,1),(154,1)}
        29:{3,4,5}:{(15,1),(42,1),(49,1),(52,1)}
        30:{2,4,5,7}:{(15,1),(16,1),(50,1),(53,1),(54,1),(112,1),(197,1),(218,1)}
        31:{2,3,6}:{(16,1),(44,1),(54,1),(103,1)}
        32:{1,4,6}:{(17,1),(18,1),(55,1),(56,1),(158,1)}
        33:{1,3,5,7}:{(17,1),(41,1),(56,1),(57,1),(94,1),(98,1),(117,1),(154,1)}
        34:{3,4,5}:{(18,1),(42,1),(55,1),(58,1)}
        35:{1,4,5,7}:{(18,1),(19,1),(56,1),(59,1),(60,1),(117,1),(198,1),(219,1)}
        36:{1,3,6}:{(19,1),(44,1),(60,1),(103,1)}
        37:{3,5,6}:{(20,1),(49,1),(61,1),(62,1)}
        38:{2,4,5,7}:{(20,1),(50,1),(62,1),(63,1),(112,1),(164,1)}
        39:{1,4,5,6}:{(32,1),(64,1),(65,1),(89,1),(146,1)}
        40:{1,2,4,6}:{(21,1),(22,1),(27,1),(32,1),(66,1),(67,1),(78,1),(84,1),(125,1)}
        41:{1,2,5,7}:{(21,1),(28,1),(33,1),(67,1),(68,1),(90,1),(122,1)}
        42:{3,5}:{(22,1),(24,1),(66,1)}
        43:{1,2,4,5,7}:{(22,1),(23,1),(25,1),(30,1),(35,1),(67,1),(71,1),(72,1),(77,1),(81,1),(87,1),(129,1),(130,1),(138,1),(175,1),(180,1),(205,1)}
        44:{1,2,6}:{(23,1),(31,1),(36,1)}
        45:{1,3,4}:{(24,1),(69,1),(73,1)}
        46:{2,3,4}:{(24,1),(70,1),(73,1)}
        47:{3,4,7}:{(24,1),(25,1),(71,1),(76,1),(175,1),(211,1)}
        48:{1,2,4,6}:{(25,1),(26,1),(76,1),(77,1)}
        49:{3,4,6}:{(27,1),(29,1),(37,1),(66,1),(78,1),(79,1)}
        50:{2,4,7}:{(27,1),(28,1),(79,1),(175,1)}
        51:{2,3,6,7}:{(28,1),(31,1),(68,1),(80,1),(91,1),(128,1),(226,1)}
        52:{1,4,5}:{(29,1),(69,1),(78,1)}
        53:{3,4,5,7}:{(29,1),(30,1),(71,1),(79,1),(81,1),(82,1),(138,1),(140,1),(175,1),(181,1),(206,1)}
        54:{2,4,6}:{(30,1),(31,1),(82,1),(83,1)}
        55:{3,4,6}:{(32,1),(34,1),(64,1),(66,1),(84,1),(85,1)}
        56:{1,4,7}:{(32,1),(33,1),(85,1),(175,1)}
        57:{1,3,6,7}:{(33,1),(36,1),(68,1),(86,1),(123,1),(128,1),(225,1)}
        58:{2,4,5}:{(34,1),(70,1),(84,1)}
        59:{3,4,5,7}:{(34,1),(35,1),(71,1),(85,1),(87,1),(88,1),(138,1),(144,1),(175,1),(182,1),(207,1)}
        60:{1,4,6}:{(35,1),(36,1),(88,1),(89,1)}
        61:{1,5,6}:{(37,1),(78,1),(90,1)}
        62:{3,5,7}:{(37,1),(38,1),(79,1),(90,1),(91,1)}
        63:{2,4,6,7}:{(38,1),(91,1),(92,1),(148,1)}
        64:{3,5,6}:{(39,1),(55,1),(93,1),(94,1)}
        65:{1,4,5,7}:{(39,1),(56,1),(94,1),(95,1),(117,1),(167,1)}
        66:{3,6}:{(40,1),(42,1),(98,1)}
        67:{1,2,4,7}:{(40,1),(41,1),(50,1),(56,1),(98,1),(110,1),(115,1),(151,1)}
        68:{1,2,6,7}:{(41,1),(44,1),(51,1),(57,1),(120,1),(149,1),(229,1)}
        69:{1,3,5}:{(42,1),(45,1),(52,1),(96,1),(100,1)}
        70:{2,3,5}:{(42,1),(46,1),(58,1),(97,1),(100,1)}
        71:{3,5,7}:{(42,1),(43,1),(47,1),(98,1),(103,1),(109,1),(196,1),(217,1)}
        72:{1,2,4,6}:{(43,1),(44,1),(54,1),(60,1),(103,1),(104,1),(113,1),(118,1),(155,1),(158,1)}
        73:{1,2,4}:{(45,1),(46,1),(100,1),(105,1)}
        74:{1,3,4,7}:{(45,1),(47,1),(101,1),(106,1),(107,1),(190,1),(217,1)}
        75:{2,3,4,7}:{(46,1),(47,1),(102,1),(106,1),(108,1),(191,1),(217,1)}
        76:{3,4,6}:{(47,1),(48,1),(103,1),(109,1),(158,1)}
        77:{1,2,5}:{(48,1),(109,1)}
        78:{1,4,6}:{(49,1),(52,1),(61,1),(96,1),(110,1)}
        79:{3,4,7}:{(49,1),(50,1),(62,1),(98,1),(110,1)}
        80:{2,4,6,7}:{(50,1),(51,1),(54,1),(111,1),(112,1),(203,1),(218,1)}
        81:{1,4,5,7}:{(52,1),(53,1),(101,1),(110,1),(113,1),(161,1),(163,1),(190,1)}
        82:{3,4,6}:{(53,1),(54,1),(103,1),(113,1),(114,1),(158,1)}
        83:{2,5,6}:{(54,1),(112,1),(114,1)}
        84:{2,4,6}:{(55,1),(58,1),(93,1),(97,1),(115,1)}
        85:{3,4,7}:{(55,1),(56,1),(94,1),(98,1),(115,1)}
        86:{1,4,6,7}:{(56,1),(57,1),(60,1),(116,1),(117,1),(216,1),(219,1)}
        87:{2,4,5,7}:{(58,1),(59,1),(102,1),(115,1),(118,1),(162,1),(166,1),(191,1)}
        88:{3,4,6}:{(59,1),(60,1),(103,1),(118,1),(119,1),(158,1)}
        89:{1,5,6}:{(60,1),(117,1),(119,1)}
        90:{1,5,7}:{(61,1),(62,1),(110,1),(120,1)}
        91:{3,6,7}:{(62,1),(63,1),(120,1)}
        92:{2,5,6,7}:{(63,1),(112,1),(121,1),(203,1)}
        93:{2,5,6}:{(64,1),(84,1),(122,1)}
        94:{3,5,7}:{(64,1),(65,1),(85,1),(122,1),(123,1)}
        95:{1,4,6,7}:{(65,1),(123,1),(124,1),(171,1)}
        96:{1,3,6}:{(66,1),(69,1),(78,1),(125,1),(126,1)}
        97:{2,3,6}:{(66,1),(70,1),(84,1),(125,1),(127,1)}
        98:{3,7}:{(66,1),(67,1)}
        99:{1,2,4,6,7}:{(67,1),(68,1),(72,1),(80,1),(86,1),(128,1),(129,1),(139,1),(143,1),(172,1),(175,1),(205,1)}
       100:{1,2,5}:{(69,1),(70,1),(73,1),(125,1)}
       101:{1,3,5,7}:{(69,1),(71,1),(74,1),(81,1),(126,1),(130,1),(131,1),(136,1)}
       102:{2,3,5,7}:{(70,1),(71,1),(75,1),(87,1),(127,1),(130,1),(132,1),(137,1)}
       103:{3,6}:{(71,1),(72,1)}
       104:{1,2,5,6}:{(72,1),(77,1),(83,1),(89,1),(129,1),(133,1),(141,1),(145,1)}
       105:{1,2,3}:{(73,1)}
       106:{1,2,4,7}:{(73,1),(74,1),(75,1),(130,1),(134,1),(135,1)}
       107:{1,3,4,6}:{(74,1),(76,1),(131,1),(135,1),(136,1),(177,1),(208,1),(211,1)}
       108:{2,3,4,6}:{(75,1),(76,1),(132,1),(135,1),(137,1),(178,1),(208,1),(211,1)}
       109:{3,5}:{(76,1),(77,1),(138,1)}
       110:{1,4,7}:{(78,1),(79,1),(90,1),(126,1)}
       111:{3,4,6,7}:{(79,1),(80,1),(82,1),(91,1),(128,1),(139,1),(140,1),(148,1),(175,1),(187,1),(206,1)}
       112:{2,5,7}:{(80,1),(83,1),(140,1)}
       113:{1,4,6}:{(81,1),(82,1),(131,1),(141,1)}
       114:{3,5,6}:{(82,1),(83,1),(140,1),(141,1),(142,1)}
       115:{2,4,7}:{(84,1),(85,1),(122,1),(127,1)}
       116:{3,4,6,7}:{(85,1),(86,1),(88,1),(123,1),(128,1),(143,1),(144,1),(171,1),(175,1),(204,1),(207,1)}
       117:{1,5,7}:{(86,1),(89,1),(144,1)}
       118:{2,4,6}:{(87,1),(88,1),(132,1),(145,1)}
       119:{3,5,6}:{(88,1),(89,1),(144,1),(145,1),(146,1)}
       120:{1,6,7}:{(90,1),(91,1)}
       121:{3,5,6,7}:{(91,1),(92,1),(140,1),(147,1),(148,1),(187,1)}
       122:{2,5,7}:{(93,1),(94,1),(115,1),(149,1)}
       123:{3,6,7}:{(94,1),(95,1),(149,1)}
       124:{1,5,6,7}:{(95,1),(117,1),(150,1),(216,1)}
       125:{1,2,6}:{(96,1),(97,1),(100,1),(151,1)}
       126:{1,3,7}:{(96,1),(98,1),(110,1),(151,1)}
       127:{2,3,7}:{(97,1),(98,1),(115,1),(151,1)}
       128:{3,6,7}:{(98,1),(99,1),(103,1),(154,1),(217,1)}
       129:{1,2,5,7}:{(99,1),(104,1),(112,1),(117,1),(154,1),(163,1),(166,1)}
       130:{1,2,5,7}:{(100,1),(101,1),(102,1),(106,1),(151,1),(155,1),(160,1)}
       131:{1,3,6}:{(101,1),(103,1),(113,1),(155,1)}
       132:{2,3,6}:{(102,1),(103,1),(118,1),(155,1)}
       133:{3,5,6}:{(103,1),(104,1),(109,1),(154,1),(158,1)}
       134:{1,2,3,7}:{(105,1),(106,1),(159,1),(217,1),(229,1)}
       135:{1,2,4,6}:{(106,1),(107,1),(108,1),(155,1),(159,1),(160,1),(195,1)}
       136:{1,3,5}:{(107,1),(109,1),(160,1),(161,1),(196,1)}
       137:{2,3,5}:{(108,1),(109,1),(160,1),(162,1),(196,1)}
       138:{4,5}:{(109,1),(158,1)}
       139:{1,4,6,7}:{(110,1),(111,1),(113,1),(120,1),(152,1),(163,1),(190,1)}
       140:{3,5,7}:{(111,1),(112,1),(114,1),(163,1),(164,1)}
       141:{1,5,6}:{(113,1),(114,1),(163,1)}
       142:{4,5,6}:{(114,1),(158,1),(164,1)}
       143:{2,4,6,7}:{(115,1),(116,1),(118,1),(149,1),(153,1),(166,1),(191,1)}
       144:{3,5,7}:{(116,1),(117,1),(119,1),(166,1),(167,1)}
       145:{2,5,6}:{(118,1),(119,1),(166,1)}
       146:{4,5,6}:{(119,1),(158,1),(167,1)}
       147:{1,5,6,7}:{(120,1),(121,1),(163,1),(169,1)}
       148:{4,6,7}:{(121,1),(164,1)}
       149:{2,6,7}:{(122,1),(123,1)}
       150:{3,5,6,7}:{(123,1),(124,1),(144,1),(170,1),(171,1),(204,1)}
       151:{1,2,7}:{(125,1),(126,1),(127,1)}
       152:{1,3,6,7}:{(126,1),(128,1),(131,1),(139,1),(172,1),(173,1),(187,1)}
       153:{2,3,6,7}:{(127,1),(128,1),(132,1),(143,1),(172,1),(174,1),(204,1)}
       154:{3,5,7}:{(128,1),(129,1),(133,1),(175,1)}
       155:{1,2,6}:{(130,1),(131,1),(132,1)}
       156:{1,3,5,6}:{(131,1),(133,1),(136,1),(141,1),(173,1),(176,1),(177,1),(184,1),(208,1)}
       157:{2,3,5,6}:{(132,1),(133,1),(137,1),(145,1),(174,1),(176,1),(178,1),(186,1),(208,1)}
       158:{4,6}:{(133,1),(138,1),(175,1)}
       159:{1,2,3,6}:{(134,1),(135,1),(179,1),(208,1),(227,1)}
       160:{1,2,5}:{(135,1),(136,1),(137,1)}
       161:{1,4,5}:{(136,1),(138,1),(177,1),(181,1)}
       162:{2,4,5}:{(137,1),(138,1),(178,1),(182,1)}
       163:{1,5,7}:{(139,1),(140,1),(141,1)}
       164:{4,5,7}:{(140,1),(142,1),(148,1),(175,1)}
       165:{1,4,5,6}:{(141,1),(142,1),(177,1),(183,1),(184,1)}
       166:{2,5,7}:{(143,1),(144,1),(145,1)}
       167:{4,5,7}:{(144,1),(146,1),(171,1),(175,1)}
       168:{2,4,5,6}:{(145,1),(146,1),(178,1),(185,1),(186,1)}
       169:{1,4,6,7}:{(147,1),(148,1),(183,1),(187,1)}
       170:{2,5,6,7}:{(149,1),(150,1),(166,1),(188,1)}
       171:{4,6,7}:{(150,1),(167,1)}
       172:{1,2,6,7}:{(151,1),(152,1),(153,1),(155,1),(189,1),(203,1),(216,1)}
       173:{1,3,5,7}:{(152,1),(154,1),(156,1),(163,1),(189,1),(190,1),(199,1),(217,1)}
       174:{2,3,5,7}:{(153,1),(154,1),(157,1),(166,1),(189,1),(191,1),(201,1),(217,1)}
       175:{4,7}:{(154,1),(158,1)}
       176:{1,2,5,6}:{(155,1),(156,1),(157,1),(160,1),(189,1),(192,1),(200,1),(202,1)}
       177:{1,4,6}:{(156,1),(158,1),(161,1),(190,1),(193,1)}
       178:{2,4,6}:{(157,1),(158,1),(162,1),(191,1),(194,1)}
       179:{1,2,3,5}:{(159,1),(160,1),(195,1),(196,1),(224,1),(230,1)}
       180:{1,2,4,5}:{(160,1),(161,1),(162,1),(192,1),(195,1),(196,1),(197,1),(198,1),(224,1)}
       181:{3,4,5}:{(161,1),(193,1),(196,1),(197,1)}
       182:{3,4,5}:{(162,1),(194,1),(196,1),(198,1)}
       183:{1,4,5,7}:{(163,1),(164,1),(165,1),(169,1),(190,1),(199,1)}
       184:{3,5,6}:{(165,1),(193,1),(199,1),(200,1)}
       185:{2,4,5,7}:{(166,1),(167,1),(168,1),(188,1),(191,1),(201,1)}
       186:{3,5,6}:{(168,1),(194,1),(201,1),(202,1)}
       187:{3,6,7}:{(169,1),(199,1),(203,1)}
       188:{2,4,6,7}:{(170,1),(171,1),(185,1),(204,1)}
       189:{1,2,5,7}:{(172,1),(173,1),(174,1),(176,1),(205,1),(214,1),(215,1)}
       190:{1,4,7}:{(173,1),(175,1),(177,1),(206,1)}
       191:{2,4,7}:{(174,1),(175,1),(178,1),(207,1)}
       192:{1,2,4,6}:{(176,1),(177,1),(178,1),(180,1),(205,1),(208,1),(209,1),(210,1),(227,1)}
       193:{3,4,6}:{(177,1),(181,1),(184,1),(206,1),(208,1),(209,1)}
       194:{3,4,6}:{(178,1),(182,1),(186,1),(207,1),(208,1),(210,1)}
       195:{1,2,4}:{(179,1),(211,1)}
       196:{3,5}:{(180,1),(208,1),(211,1)}
       197:{2,4,5}:{(181,1),(209,1),(213,1)}
       198:{1,4,5}:{(182,1),(210,1),(212,1)}
       199:{3,5,7}:{(183,1),(184,1),(187,1),(206,1),(214,1)}
       200:{2,5,6}:{(184,1),(209,1),(214,1)}
       201:{3,5,7}:{(185,1),(186,1),(204,1),(207,1),(215,1)}
       202:{1,5,6}:{(186,1),(210,1),(215,1)}
       203:{2,6,7}:{(187,1),(214,1)}
       204:{3,6,7}:{(188,1),(201,1),(216,1)}
       205:{1,2,4,7}:{(189,1),(190,1),(191,1),(192,1),(217,1),(218,1),(219,1),(229,1)}
       206:{3,4,7}:{(190,1),(193,1),(199,1),(217,1),(218,1)}
       207:{3,4,7}:{(191,1),(194,1),(201,1),(217,1),(219,1)}
       208:{3,6}:{(192,1),(196,1),(217,1)}
       209:{2,4,6}:{(193,1),(197,1),(200,1),(218,1),(221,1)}
       210:{1,4,6}:{(194,1),(198,1),(202,1),(219,1),(220,1)}
       211:{3,4}:{(195,1),(196,1)}
       212:{1,3,5}:{(196,1),(198,1),(220,1),(222,1),(224,1)}
       213:{2,3,5}:{(196,1),(197,1),(221,1),(223,1),(224,1)}
       214:{2,5,7}:{(199,1),(200,1),(203,1),(218,1)}
       215:{1,5,7}:{(201,1),(202,1),(216,1),(219,1)}
       216:{1,6,7}:{(204,1),(215,1)}
       217:{3,7}:{(205,1),(208,1)}
       218:{2,4,7}:{(206,1),(209,1),(214,1),(226,1)}
       219:{1,4,7}:{(207,1),(210,1),(215,1),(225,1)}
       220:{1,3,6}:{(208,1),(210,1),(212,1),(225,1),(227,1)}
       221:{2,3,6}:{(208,1),(209,1),(213,1),(226,1),(227,1)}
       222:{1,3,4}:{(211,1),(212,1),(228,1)}
       223:{2,3,4}:{(211,1),(213,1),(228,1)}
       224:{1,2,5}:{(212,1),(213,1),(227,1),(228,1)}
       225:{1,3,7}:{(217,1),(219,1),(220,1),(229,1)}
       226:{2,3,7}:{(217,1),(218,1),(221,1),(229,1)}
       227:{1,2,6}:{(220,1),(221,1),(224,1),(229,1)}
       228:{1,2,4}:{(222,1),(223,1),(224,1),(230,1)}
       229:{1,2,7}:{(225,1),(226,1),(227,1)}
       230:{1,2,3}:{(228,1)}

1311 :   0:{1,3,5,7}:{(5,1),(6,1),(7,1),(12,1),(33,1),(37,1),(67,1)}
         1:{2,3,5,7}:{(5,1),(8,1),(9,1),(10,1),(33,1),(40,1),(67,1)}
         2:{2,4,5,7}:{(8,1),(10,1),(11,1),(15,1),(40,1),(46,1),(71,1)}
         3:{1,4,5,7}:{(6,1),(12,1),(13,1),(32,1),(37,1),(63,1),(69,1)}
         4:{2,4,6,7}:{(11,1),(14,1),(15,1),(46,1)}
         5:{1,2,5,7}:{(0,1),(1,1),(17,1),(18,1),(23,1),(26,1),(52,1)}
         6:{1,4,7}:{(0,1),(19,1),(20,1),(79,1),(93,1)}
         7:{1,3,6}:{(0,1),(18,1),(20,1),(27,1),(51,1),(102,1)}
         8:{2,4,7}:{(1,1),(21,1),(22,1),(79,1),(84,1)}
         9:{2,3,6}:{(1,1),(18,1),(22,1),(24,1),(51,1),(103,1)}
        10:{3,5,7}:{(2,1),(21,1),(23,1),(24,1),(56,1)}
        11:{2,4,6}:{(2,1),(24,1),(25,1),(58,1)}
        12:{3,5,7}:{(3,1),(19,1),(26,1),(27,1),(54,1)}
        13:{1,4,6}:{(3,1),(27,1),(28,1),(60,1)}
        14:{3,6,7}:{(4,1),(24,1),(29,1),(30,1)}
        15:{2,5,7}:{(4,1),(25,1),(30,1),(84,1)}
        16:{1,4,6,7}:{(13,1),(31,1),(32,1),(63,1)}
        17:{1,2,4,7}:{(5,1),(6,1),(8,1),(33,1),(34,1),(35,1),(38,1),(64,1)}
        18:{1,2,6}:{(5,1),(7,1),(9,1),(41,1),(43,1),(104,1)}
        19:{3,4,7}:{(6,1),(12,1),(33,1),(35,1),(36,1),(63,1),(85,1)}
        20:{1,4,6}:{(6,1),(7,1),(36,1),(37,1),(92,1),(101,1)}
        21:{3,4,7}:{(8,1),(10,1),(33,1),(38,1),(39,1),(46,1),(74,1)}
        22:{2,4,6}:{(8,1),(9,1),(39,1),(40,1),(91,1),(100,1)}
        23:{1,5,7}:{(10,1),(38,1),(41,1),(70,1)}
        24:{3,6}:{(10,1),(11,1),(41,1)}
        25:{2,5,6}:{(11,1),(15,1),(40,1),(42,1),(91,1)}
        26:{2,5,7}:{(12,1),(35,1),(43,1),(68,1)}
        27:{3,6}:{(12,1),(13,1),(43,1)}
        28:{1,5,6}:{(13,1),(32,1),(37,1),(44,1),(92,1)}
        29:{1,6,7}:{(14,1),(41,1),(45,1)}
        30:{3,5,7}:{(14,1),(15,1),(42,1),(45,1),(46,1),(74,1)}
        31:{3,6,7}:{(16,1),(27,1),(47,1),(48,1)}
        32:{1,5,7}:{(16,1),(28,1),(48,1),(93,1)}
        33:{3,7}:{(17,1),(51,1)}
        34:{1,2,4,6}:{(17,1),(18,1),(20,1),(22,1),(51,1),(52,1),(53,1),(55,1),(76,1),(79,1),(94,1)}
        35:{2,4,7}:{(19,1),(26,1),(50,1),(53,1)}
        36:{3,4,6}:{(19,1),(20,1),(27,1),(51,1),(53,1),(54,1),(60,1),(79,1),(83,1),(96,1)}
        37:{1,5}:{(20,1),(54,1)}
        38:{1,4,7}:{(21,1),(23,1),(49,1),(55,1)}
        39:{3,4,6}:{(21,1),(22,1),(24,1),(51,1),(55,1),(56,1),(58,1),(79,1),(82,1),(95,1)}
        40:{2,5}:{(22,1),(56,1)}
        41:{1,6}:{(23,1),(24,1)}
        42:{3,5,6}:{(24,1),(25,1),(30,1),(56,1),(57,1),(58,1),(82,1)}
        43:{2,6}:{(26,1),(27,1)}
        44:{3,5,6}:{(27,1),(28,1),(48,1),(54,1),(59,1),(60,1),(83,1)}
        45:{1,5,7}:{(29,1),(30,1),(57,1),(61,1)}
        46:{4,7}:{(30,1),(58,1)}
        47:{2,6,7}:{(31,1),(43,1),(62,1)}
        48:{3,5,7}:{(31,1),(32,1),(44,1),(62,1),(63,1),(85,1)}
        49:{1,3,7}:{(33,1),(38,1),(64,1),(65,1),(74,1)}
        50:{2,3,7}:{(33,1),(35,1),(64,1),(66,1),(85,1)}
        51:{3,6}:{(33,1),(34,1),(67,1),(99,1)}
        52:{1,2,5}:{(34,1),(37,1),(40,1),(67,1),(68,1),(70,1)}
        53:{2,4,6}:{(35,1),(36,1),(43,1),(66,1),(68,1),(88,1)}
        54:{3,5}:{(36,1),(37,1),(68,1),(69,1)}
        55:{1,4,6}:{(38,1),(39,1),(41,1),(65,1),(70,1),(87,1)}
        56:{3,5}:{(39,1),(40,1),(70,1),(71,1)}
        57:{1,5,6}:{(41,1),(42,1),(45,1),(70,1),(72,1)}
        58:{4,6}:{(42,1),(46,1),(71,1)}
        59:{2,5,6}:{(43,1),(44,1),(62,1),(68,1),(73,1)}
        60:{4,6}:{(44,1),(63,1),(69,1)}
        61:{1,4,7}:{(45,1),(46,1),(72,1),(74,1)}
        62:{2,5,7}:{(47,1),(48,1),(59,1),(75,1)}
        63:{4,7}:{(48,1),(60,1)}
        64:{1,2,7}:{(49,1),(50,1),(76,1),(84,1),(93,1)}
        65:{1,3,6}:{(49,1),(51,1),(55,1),(76,1),(77,1),(82,1)}
        66:{2,3,6}:{(50,1),(51,1),(53,1),(76,1),(78,1),(83,1)}
        67:{3,5}:{(51,1),(52,1),(79,1)}
        68:{2,5}:{(53,1),(54,1)}
        69:{4,5}:{(54,1),(60,1),(79,1)}
        70:{1,5}:{(55,1),(56,1)}
        71:{4,5}:{(56,1),(58,1),(79,1)}
        72:{1,4,6}:{(57,1),(58,1),(61,1),(81,1),(82,1)}
        73:{2,4,6}:{(59,1),(60,1),(75,1),(80,1),(83,1)}
        74:{3,7}:{(61,1),(82,1),(84,1)}
        75:{2,4,7}:{(62,1),(63,1),(73,1),(85,1)}
        76:{1,2,6}:{(64,1),(65,1),(66,1),(86,1),(91,1),(92,1)}
        77:{1,3,5}:{(65,1),(67,1),(70,1),(86,1),(87,1),(90,1),(99,1)}
        78:{2,3,5}:{(66,1),(67,1),(68,1),(86,1),(88,1),(89,1),(99,1)}
        79:{4}:{(67,1)}
        80:{2,4,5}:{(68,1),(69,1),(73,1),(88,1),(89,1)}
        81:{1,4,5}:{(70,1),(71,1),(72,1),(87,1),(90,1)}
        82:{3,6}:{(72,1),(74,1),(90,1),(91,1)}
        83:{3,6}:{(73,1),(85,1),(89,1),(92,1)}
        84:{2,7}:{(74,1),(91,1)}
        85:{3,7}:{(75,1),(83,1),(93,1)}
        86:{1,2,5}:{(76,1),(77,1),(78,1),(94,1),(97,1),(98,1)}
        87:{1,4}:{(77,1),(79,1),(95,1)}
        88:{2,4}:{(78,1),(79,1),(96,1)}
        89:{3,5}:{(80,1),(83,1),(96,1),(97,1)}
        90:{3,5}:{(81,1),(82,1),(95,1),(98,1)}
        91:{2,6}:{(82,1),(84,1),(98,1)}
        92:{1,6}:{(83,1),(93,1),(97,1)}
        93:{1,7}:{(85,1),(92,1)}
        94:{1,2,4}:{(86,1),(87,1),(88,1),(99,1),(100,1),(101,1),(104,1)}
        95:{3,4}:{(87,1),(90,1),(99,1),(100,1)}
        96:{3,4}:{(88,1),(89,1),(99,1),(101,1)}
        97:{1,5}:{(89,1),(92,1),(101,1)}
        98:{2,5}:{(90,1),(91,1),(100,1)}
        99:{3}:{(94,1)}
       100:{2,4}:{(95,1),(98,1),(103,1)}
       101:{1,4}:{(96,1),(97,1),(102,1)}
       102:{1,3}:{(99,1),(101,1),(104,1)}
       103:{2,3}:{(99,1),(100,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

1312 :   0:{1,3,4,6,7}:{(1,1),(2,1),(11,1),(18,1),(34,1),(36,1),(43,1),(66,1),(71,1),(95,1),(106,1)}
         1:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(21,1),(23,1),(30,1),(61,1),(90,1),(110,1)}
         2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(24,1),(27,1),(82,1),(109,1)}
         3:{1,3,5,6,7}:{(4,1),(8,1),(9,1),(27,1),(29,1),(55,1),(119,1)}
         4:{1,3,5,6}:{(2,1),(10,1),(11,1),(32,1),(34,1)}
         5:{2,3,6,7}:{(1,1),(12,1),(34,1),(106,1),(122,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(10,1),(12,1),(40,1),(121,1)}
         7:{1,4,5,7}:{(2,1),(11,1),(14,1),(71,1),(96,1)}
         8:{1,2,5,6,7}:{(3,1),(10,1),(16,1),(17,1),(40,1),(73,1),(75,1),(107,1)}
         9:{1,4,6,7}:{(3,1),(11,1),(15,1),(18,1),(71,1),(129,1)}
        10:{1,2,5,6}:{(4,1),(6,1),(20,1),(21,1),(46,1),(82,1)}
        11:{1,4,6}:{(4,1),(7,1),(22,1)}
        12:{2,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(24,1),(130,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(21,1),(23,1),(24,1),(25,1),(47,1),(51,1),(53,1),(82,1),(90,1),(111,1)}
        14:{3,4,5,7}:{(7,1),(22,1),(24,1),(25,1),(27,1),(54,1),(78,1)}
        15:{1,4,5,7}:{(9,1),(19,1),(27,1),(135,1)}
        16:{2,3,5,6,7}:{(8,1),(20,1),(28,1),(29,1),(56,1),(58,1),(92,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(21,1),(26,1),(28,1),(29,1),(30,1),(59,1),(61,1),(90,1),(117,1)}
        18:{3,4,6,7}:{(9,1),(22,1),(27,1),(29,1),(30,1),(54,1),(134,1)}
        19:{1,4,5,6}:{(11,1),(15,1),(32,1)}
        20:{2,3,5,6}:{(10,1),(12,1),(33,1),(34,1),(65,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(13,1),(33,1),(34,1),(35,1),(66,1),(68,1)}
        22:{3,4,6}:{(11,1),(14,1),(32,1),(34,1),(35,1)}
        23:{2,4,7}:{(12,1),(33,1),(36,1),(136,1)}
        24:{3,5,7}:{(13,1),(34,1),(36,1),(65,1),(106,1),(123,1)}
        25:{2,4,5,7}:{(14,1),(35,1),(38,1),(40,1),(72,1),(97,1)}
        26:{1,2,4,5,7}:{(15,1),(17,1),(31,1),(39,1),(40,1),(41,1),(71,1),(72,1),(73,1),(75,1)}
        27:{3,5,7}:{(15,1),(18,1),(32,1),(40,1),(138,1)}
        28:{2,4,6,7}:{(16,1),(33,1),(41,1),(42,1),(72,1),(104,1)}
        29:{3,6,7}:{(17,1),(34,1),(39,1),(106,1),(127,1)}
        30:{2,4,6,7}:{(18,1),(35,1),(40,1),(44,1),(72,1),(137,1)}
        31:{1,2,4,5,6}:{(19,1),(21,1),(26,1),(45,1),(46,1),(47,1),(57,1),(79,1),(80,1),(81,1),(82,1),(91,1),(111,1),(117,1),(135,1),(139,1)}
        32:{3,5,6}:{(19,1),(22,1),(27,1),(46,1)}
        33:{2,4,6}:{(20,1),(23,1),(47,1),(48,1)}
        34:{3,6}:{(21,1),(24,1)}
        35:{2,4,6}:{(22,1),(25,1),(46,1),(50,1)}
        36:{3,4,7}:{(23,1),(24,1),(48,1),(51,1),(131,1)}
        37:{1,3,5,7}:{(24,1),(49,1),(51,1),(53,1),(82,1),(85,1),(113,1)}
        38:{2,3,5,7}:{(24,1),(25,1),(50,1),(52,1),(53,1),(83,1)}
        39:{3,5,7}:{(26,1),(29,1),(45,1),(54,1)}
        40:{2,5,7}:{(27,1),(30,1),(46,1),(139,1)}
        41:{2,4,5,7}:{(28,1),(47,1),(57,1),(58,1)}
        42:{3,4,6,7}:{(28,1),(29,1),(48,1),(54,1),(58,1),(59,1),(87,1)}
        43:{1,3,6,7}:{(29,1),(49,1),(55,1),(59,1),(61,1),(114,1)}
        44:{2,3,6,7}:{(29,1),(30,1),(50,1),(56,1),(61,1),(132,1)}
        45:{3,5,6}:{(31,1),(34,1),(39,1),(62,1),(65,1),(123,1),(127,1),(138,1)}
        46:{2,5,6}:{(32,1),(35,1),(40,1)}
        47:{2,4,5}:{(33,1),(65,1)}
        48:{3,4,6}:{(33,1),(34,1),(36,1),(65,1),(66,1)}
        49:{1,3,6}:{(34,1),(37,1),(66,1),(68,1)}
        50:{2,3,6}:{(34,1),(35,1),(38,1),(68,1)}
        51:{1,4,7}:{(36,1),(37,1),(66,1),(124,1)}
        52:{2,3,4,7}:{(36,1),(38,1),(67,1),(69,1),(72,1),(106,1)}
        53:{1,2,5,7}:{(37,1),(38,1),(68,1),(69,1),(99,1)}
        54:{3,4,7}:{(39,1),(62,1),(71,1),(72,1),(106,1)}
        55:{1,3,5,7}:{(39,1),(43,1),(63,1),(71,1),(73,1),(75,1),(106,1)}
        56:{2,3,5,7}:{(39,1),(40,1),(44,1),(64,1),(72,1),(73,1),(106,1)}
        57:{2,4,5,6}:{(41,1),(74,1),(104,1)}
        58:{3,5,7}:{(41,1),(42,1),(65,1),(74,1),(75,1)}
        59:{1,4,6,7}:{(42,1),(43,1),(66,1),(71,1),(75,1),(103,1)}
        60:{2,3,4,6,7}:{(42,1),(44,1),(67,1),(72,1),(76,1),(77,1),(104,1),(106,1),(127,1),(128,1),(137,1)}
        61:{1,2,6,7}:{(43,1),(44,1),(68,1),(73,1),(125,1)}
        62:{3,4,6}:{(45,1),(54,1),(78,1),(79,1),(80,1),(112,1),(131,1)}
        63:{1,3,5,6}:{(45,1),(49,1),(55,1),(79,1),(81,1),(82,1),(91,1),(109,1),(112,1),(113,1),(114,1)}
        64:{2,3,5,6}:{(45,1),(46,1),(50,1),(56,1),(80,1),(81,1),(83,1),(112,1),(130,1),(132,1),(139,1)}
        65:{3,5}:{(47,1),(48,1),(82,1)}
        66:{1,4,6}:{(48,1),(49,1),(51,1),(82,1)}
        67:{2,3,4,6}:{(48,1),(50,1),(52,1),(80,1),(83,1),(84,1),(112,1),(131,1)}
        68:{1,2,6}:{(49,1),(50,1),(53,1)}
        69:{1,2,4,7}:{(51,1),(52,1),(53,1),(84,1),(85,1)}
        70:{3,4,5,7}:{(54,1),(58,1),(78,1),(87,1),(88,1),(89,1),(118,1)}
        71:{1,4,7}:{(54,1),(55,1),(79,1)}
        72:{2,4,7}:{(54,1),(56,1),(80,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(61,1),(81,1),(90,1)}
        74:{3,5,6}:{(57,1),(58,1),(87,1),(91,1)}
        75:{1,5,7}:{(58,1),(59,1),(82,1),(91,1)}
        76:{2,3,5,7}:{(58,1),(60,1),(83,1),(89,1),(92,1),(93,1),(118,1),(139,1)}
        77:{1,2,4,6,7}:{(59,1),(60,1),(61,1),(84,1),(90,1),(93,1),(94,1),(117,1),(120,1)}
        78:{3,4,5}:{(62,1),(65,1),(96,1),(97,1),(123,1),(138,1)}
        79:{1,4,6}:{(62,1),(63,1),(71,1),(96,1),(124,1)}
        80:{2,4,6}:{(62,1),(64,1),(72,1),(97,1),(136,1)}
        81:{1,2,5,6}:{(63,1),(64,1),(68,1),(73,1),(98,1),(99,1),(121,1),(125,1)}
        82:{1,5}:{(65,1),(66,1)}
        83:{2,3,5}:{(65,1),(67,1),(97,1),(99,1),(123,1)}
        84:{1,2,4,6}:{(66,1),(67,1),(68,1),(69,1),(99,1),(100,1),(124,1)}
        85:{1,3,7}:{(69,1),(100,1),(106,1)}
        86:{1,3,4,7}:{(71,1),(95,1),(101,1),(102,1),(106,1),(128,1)}
        87:{3,4,6}:{(70,1),(74,1),(103,1),(104,1),(127,1)}
        88:{1,4,5,7}:{(70,1),(71,1),(75,1),(96,1),(101,1),(103,1)}
        89:{2,4,5,7}:{(70,1),(72,1),(76,1),(97,1),(104,1)}
        90:{1,2,4,7}:{(71,1),(72,1),(73,1),(98,1),(106,1)}
        91:{1,5,6}:{(74,1),(75,1),(103,1)}
        92:{2,3,5,6}:{(74,1),(76,1),(104,1),(107,1),(127,1)}
        93:{1,2,5,7}:{(75,1),(76,1),(77,1),(99,1),(107,1),(108,1)}
        94:{1,3,6,7}:{(77,1),(100,1),(106,1),(108,1),(127,1)}
        95:{1,3,4,6}:{(79,1),(86,1),(109,1),(110,1),(112,1),(114,1),(131,1),(134,1)}
        96:{1,4,5}:{(78,1),(79,1),(82,1),(109,1)}
        97:{2,4,5}:{(78,1),(80,1),(83,1),(139,1)}
        98:{1,2,4,6}:{(79,1),(80,1),(81,1),(90,1),(111,1),(112,1)}
        99:{1,2,5}:{(82,1),(83,1),(84,1),(113,1)}
       100:{1,3,6}:{(84,1),(85,1),(112,1),(113,1)}
       101:{1,3,5,7}:{(86,1),(88,1),(109,1),(114,1),(115,1),(118,1)}
       102:{1,2,4,7}:{(86,1),(110,1),(115,1),(116,1),(133,1)}
       103:{1,4,6}:{(87,1),(88,1),(91,1),(114,1)}
       104:{2,4,6}:{(87,1),(89,1),(92,1)}
       105:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(93,1),(111,1),(115,1),(117,1),(118,1),(120,1),(133,1),(135,1),(139,1)}
       106:{3,7}:{(90,1),(112,1)}
       107:{1,2,5,6}:{(91,1),(92,1),(93,1),(117,1),(119,1),(139,1)}
       108:{1,3,5,7}:{(93,1),(94,1),(113,1),(118,1),(119,1),(120,1)}
       109:{1,3,5}:{(95,1),(96,1),(121,1),(123,1),(138,1)}
       110:{1,2,4,6}:{(95,1),(102,1),(121,1),(122,1),(125,1),(136,1),(137,1)}
       111:{1,2,4,5}:{(96,1),(97,1),(98,1),(99,1),(121,1),(123,1),(124,1),(136,1)}
       112:{3,6}:{(98,1),(106,1),(123,1)}
       113:{1,3,5}:{(99,1),(100,1),(123,1),(124,1)}
       114:{1,3,6}:{(101,1),(103,1),(125,1),(127,1)}
       115:{1,2,5,7}:{(101,1),(102,1),(121,1),(125,1),(126,1)}
       116:{2,3,7}:{(102,1),(106,1),(122,1)}
       117:{1,2,4,6}:{(103,1),(104,1),(105,1),(107,1),(125,1),(127,1),(129,1),(137,1)}
       118:{3,5,7}:{(105,1),(106,1),(123,1),(127,1),(128,1),(138,1)}
       119:{1,3,5,6}:{(107,1),(108,1),(127,1),(129,1),(138,1)}
       120:{1,4,7}:{(108,1),(124,1),(128,1),(129,1)}
       121:{1,2,5}:{(109,1),(110,1),(130,1),(139,1)}
       122:{2,3,6}:{(110,1),(112,1),(116,1),(130,1)}
       123:{3,5}:{(111,1),(112,1),(131,1)}
       124:{1,4}:{(113,1),(131,1)}
       125:{1,2,6}:{(114,1),(115,1),(132,1)}
       126:{2,3,5,7}:{(115,1),(116,1),(118,1),(130,1),(132,1),(133,1),(139,1)}
       127:{3,6}:{(117,1),(118,1)}
       128:{3,4,7}:{(118,1),(120,1),(131,1),(133,1),(134,1)}
       129:{1,4,6}:{(119,1),(120,1),(134,1),(135,1)}
       130:{2,3,5}:{(121,1),(122,1),(123,1),(136,1)}
       131:{3,4}:{(123,1),(124,1),(136,1)}
       132:{2,3,6}:{(125,1),(126,1),(127,1),(137,1)}
       133:{2,4,7}:{(126,1),(128,1),(136,1),(137,1)}
       134:{3,4,6}:{(127,1),(128,1),(129,1),(137,1),(138,1)}
       135:{1,4,5}:{(129,1),(138,1)}
       136:{2,4}:{(130,1),(131,1)}
       137:{2,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1313 :   0:{2,3,4,6,7}:{(1,1),(2,1),(9,1),(25,1),(29,1),(31,1),(53,1),(59,1),(80,1),(86,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(38,1),(69,1),(96,1),(102,1)}
         2:{2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(75,1),(101,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(9,1),(27,1),(29,1)}
         4:{1,3,6,7}:{(1,1),(10,1),(29,1),(111,1),(115,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(114,1)}
         6:{2,4,5,7}:{(2,1),(9,1),(12,1),(80,1),(88,1)}
         7:{2,3,5,6,7}:{(3,1),(13,1),(14,1),(35,1),(37,1),(64,1),(123,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(40,1),(75,1)}
         9:{2,4,6}:{(3,1),(6,1),(18,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(125,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(46,1),(47,1),(75,1),(96,1),(103,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(49,1),(81,1),(84,1),(112,1)}
        14:{2,4,6,7}:{(7,1),(9,1),(22,1),(25,1),(80,1),(131,1)}
        15:{2,4,5,6}:{(9,1),(22,1),(27,1)}
        16:{1,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(59,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(27,1),(29,1),(30,1)}
        19:{1,4,7}:{(10,1),(28,1),(31,1),(132,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(111,1),(116,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(32,1),(49,1),(79,1),(87,1)}
        22:{2,4,5,7}:{(14,1),(15,1),(35,1),(136,1)}
        23:{1,3,5,6,7}:{(13,1),(16,1),(36,1),(37,1),(63,1),(66,1),(97,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(36,1),(37,1),(38,1),(68,1),(69,1),(96,1),(121,1)}
        25:{3,4,6,7}:{(14,1),(18,1),(35,1),(37,1),(38,1),(62,1),(135,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(39,1),(40,1),(41,1),(65,1),(71,1),(72,1),(73,1),(75,1),(98,1),(103,1),(121,1),(136,1),(139,1)}
        27:{3,5,6}:{(15,1),(18,1),(35,1),(40,1)}
        28:{1,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{1,4,6}:{(18,1),(21,1),(40,1),(43,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(46,1),(126,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(47,1),(74,1)}
        33:{2,3,5,7}:{(20,1),(44,1),(46,1),(47,1),(75,1),(77,1),(105,1)}
        34:{1,2,4,5,7}:{(22,1),(24,1),(26,1),(48,1),(49,1),(50,1),(79,1),(80,1),(81,1),(84,1)}
        35:{3,5,7}:{(22,1),(25,1),(27,1),(49,1),(138,1)}
        36:{1,4,6,7}:{(23,1),(28,1),(50,1),(51,1),(79,1),(108,1)}
        37:{3,6,7}:{(24,1),(29,1),(48,1),(111,1),(129,1)}
        38:{1,4,6,7}:{(25,1),(30,1),(49,1),(52,1),(79,1),(137,1)}
        39:{3,5,6}:{(26,1),(29,1),(48,1),(54,1),(57,1),(116,1),(129,1),(138,1)}
        40:{1,5,6}:{(27,1),(30,1),(49,1)}
        41:{1,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(59,1)}
        43:{1,3,6}:{(29,1),(30,1),(32,1),(60,1)}
        44:{2,3,6}:{(29,1),(33,1),(59,1),(60,1)}
        45:{1,3,4,7}:{(31,1),(32,1),(58,1),(61,1),(79,1),(111,1)}
        46:{2,4,7}:{(31,1),(33,1),(59,1),(117,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(37,1),(39,1),(62,1)}
        49:{1,5,7}:{(35,1),(38,1),(40,1),(139,1)}
        50:{1,4,5,7}:{(36,1),(41,1),(65,1),(66,1)}
        51:{3,4,6,7}:{(36,1),(37,1),(42,1),(62,1),(66,1),(68,1),(93,1)}
        52:{1,3,6,7}:{(37,1),(38,1),(43,1),(63,1),(69,1),(133,1)}
        53:{2,3,6,7}:{(37,1),(44,1),(64,1),(68,1),(69,1),(118,1)}
        54:{3,4,6}:{(39,1),(62,1),(70,1),(71,1),(72,1),(104,1),(126,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(63,1),(71,1),(73,1),(74,1),(104,1),(125,1),(133,1),(139,1)}
        56:{2,3,5,6}:{(39,1),(44,1),(64,1),(72,1),(73,1),(75,1),(98,1),(101,1),(104,1),(105,1),(118,1)}
        57:{3,5}:{(41,1),(42,1),(75,1)}
        58:{1,3,4,6}:{(42,1),(43,1),(45,1),(71,1),(74,1),(76,1),(104,1),(126,1)}
        59:{2,4,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(54,1),(79,1),(80,1),(111,1)}
        63:{1,3,5,7}:{(48,1),(49,1),(52,1),(55,1),(79,1),(81,1),(111,1)}
        64:{2,3,5,7}:{(48,1),(53,1),(56,1),(80,1),(81,1),(84,1),(111,1)}
        65:{1,4,5,6}:{(50,1),(82,1),(108,1)}
        66:{3,5,7}:{(50,1),(51,1),(57,1),(82,1),(84,1)}
        67:{1,3,4,6,7}:{(51,1),(52,1),(58,1),(79,1),(83,1),(85,1),(108,1),(111,1),(129,1),(130,1),(137,1)}
        68:{2,4,6,7}:{(51,1),(53,1),(59,1),(80,1),(84,1),(109,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(60,1),(81,1),(127,1)}
        70:{3,4,5}:{(54,1),(57,1),(87,1),(88,1),(116,1),(138,1)}
        71:{1,4,6}:{(54,1),(55,1),(79,1),(87,1),(132,1)}
        72:{2,4,6}:{(54,1),(56,1),(80,1),(88,1),(117,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(60,1),(81,1),(89,1),(90,1),(114,1),(127,1)}
        74:{1,3,5}:{(57,1),(58,1),(87,1),(90,1),(116,1)}
        75:{2,5}:{(57,1),(59,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{2,3,7}:{(61,1),(91,1),(111,1)}
        78:{3,4,5,7}:{(62,1),(66,1),(70,1),(93,1),(94,1),(95,1),(122,1)}
        79:{1,4,7}:{(62,1),(63,1),(71,1)}
        80:{2,4,7}:{(62,1),(64,1),(72,1)}
        81:{1,2,5,7}:{(63,1),(64,1),(69,1),(73,1),(96,1)}
        82:{3,5,6}:{(65,1),(66,1),(93,1),(98,1)}
        83:{1,3,5,7}:{(66,1),(67,1),(74,1),(94,1),(97,1),(99,1),(122,1),(139,1)}
        84:{2,5,7}:{(66,1),(68,1),(75,1),(98,1)}
        85:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(96,1),(99,1),(100,1),(121,1),(124,1)}
        86:{2,3,4,6}:{(72,1),(92,1),(101,1),(102,1),(104,1),(118,1),(126,1),(135,1)}
        87:{1,4,5}:{(70,1),(71,1),(74,1),(139,1)}
        88:{2,4,5}:{(70,1),(72,1),(75,1),(101,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(73,1),(96,1),(103,1),(104,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{2,3,6}:{(76,1),(77,1),(104,1),(105,1)}
        92:{2,3,4,7}:{(80,1),(86,1),(106,1),(107,1),(111,1),(130,1)}
        93:{3,4,6}:{(78,1),(82,1),(108,1),(109,1),(129,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(108,1)}
        95:{2,4,5,7}:{(78,1),(80,1),(84,1),(88,1),(106,1),(109,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(89,1),(111,1)}
        97:{1,3,5,6}:{(82,1),(83,1),(108,1),(112,1),(129,1)}
        98:{2,5,6}:{(82,1),(84,1),(109,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(85,1),(90,1),(112,1),(113,1)}
       100:{2,3,6,7}:{(85,1),(91,1),(111,1),(113,1),(129,1)}
       101:{2,3,5}:{(86,1),(88,1),(114,1),(116,1),(138,1)}
       102:{1,2,4,6}:{(86,1),(107,1),(114,1),(115,1),(127,1),(132,1),(137,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(89,1),(90,1),(114,1),(116,1),(117,1),(132,1)}
       104:{3,6}:{(89,1),(111,1),(116,1)}
       105:{2,3,5}:{(90,1),(91,1),(116,1),(117,1)}
       106:{2,3,5,7}:{(92,1),(95,1),(101,1),(118,1),(119,1),(122,1)}
       107:{1,2,4,7}:{(92,1),(102,1),(119,1),(120,1),(134,1)}
       108:{1,4,6}:{(93,1),(94,1),(97,1)}
       109:{2,4,6}:{(93,1),(95,1),(98,1),(118,1)}
       110:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(103,1),(119,1),(121,1),(122,1),(124,1),(134,1),(136,1),(139,1)}
       111:{3,7}:{(96,1),(104,1)}
       112:{1,2,5,6}:{(97,1),(98,1),(99,1),(121,1),(123,1),(139,1)}
       113:{2,3,5,7}:{(99,1),(100,1),(105,1),(122,1),(123,1),(124,1)}
       114:{1,2,5}:{(101,1),(102,1),(125,1),(139,1)}
       115:{1,3,6}:{(102,1),(104,1),(120,1),(125,1)}
       116:{3,5}:{(103,1),(104,1),(126,1)}
       117:{2,4}:{(105,1),(126,1)}
       118:{2,3,6}:{(106,1),(109,1),(127,1),(129,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(114,1),(127,1),(128,1)}
       120:{1,3,7}:{(107,1),(111,1),(115,1)}
       121:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1),(131,1),(137,1)}
       122:{3,5,7}:{(110,1),(111,1),(116,1),(129,1),(130,1),(138,1)}
       123:{2,3,5,6}:{(112,1),(113,1),(129,1),(131,1),(138,1)}
       124:{2,4,7}:{(113,1),(117,1),(130,1),(131,1)}
       125:{1,3,5}:{(114,1),(115,1),(116,1),(132,1)}
       126:{3,4}:{(116,1),(117,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{1,3,5,7}:{(119,1),(120,1),(122,1),(125,1),(133,1),(134,1),(139,1)}
       129:{3,6}:{(121,1),(122,1)}
       130:{3,4,7}:{(122,1),(124,1),(126,1),(134,1),(135,1)}
       131:{2,4,6}:{(123,1),(124,1),(135,1),(136,1)}
       132:{1,4}:{(125,1),(126,1)}
       133:{1,3,6}:{(127,1),(128,1),(129,1),(137,1)}
       134:{1,4,7}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,4,6}:{(129,1),(130,1),(131,1),(137,1),(138,1)}
       136:{2,4,5}:{(131,1),(138,1)}
       137:{1,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

1314 :   0:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(27,1),(29,1),(53,1),(66,1)}
         1:{2,3,5,6,7}:{(4,1),(6,1),(17,1),(28,1),(29,1),(50,1),(67,1)}
         2:{1,3,4,6,7}:{(7,1),(8,1),(14,1),(33,1),(48,1),(70,1),(78,1),(84,1),(107,1),(111,1),(119,1)}
         3:{2,3,4,6,7}:{(9,1),(10,1),(15,1),(35,1),(49,1),(73,1),(81,1),(85,1),(108,1),(112,1),(119,1)}
         4:{1,2,5,6,7}:{(0,1),(1,1),(13,1),(32,1),(34,1),(46,1),(47,1),(86,1)}
         5:{1,4,6,7}:{(0,1),(11,1),(14,1),(33,1),(72,1),(84,1)}
         6:{2,4,6,7}:{(1,1),(12,1),(15,1),(35,1),(69,1),(85,1)}
         7:{1,2,4,6,7}:{(2,1),(20,1),(21,1),(30,1),(51,1),(59,1),(68,1),(105,1),(125,1)}
         8:{1,3,5,7}:{(2,1),(16,1),(21,1),(22,1),(27,1),(60,1),(120,1),(123,1)}
         9:{1,2,4,6,7}:{(3,1),(23,1),(24,1),(31,1),(54,1),(62,1),(68,1),(105,1),(122,1)}
        10:{2,3,5,7}:{(3,1),(17,1),(24,1),(25,1),(28,1),(63,1),(121,1),(124,1)}
        11:{1,4,5,7}:{(5,1),(18,1),(27,1),(91,1)}
        12:{2,4,5,7}:{(6,1),(19,1),(28,1),(87,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(26,1),(29,1),(30,1),(31,1),(51,1),(54,1),(68,1),(105,1)}
        14:{3,4,6,7}:{(5,1),(27,1),(29,1),(30,1),(52,1),(65,1),(92,1)}
        15:{3,4,6,7}:{(6,1),(28,1),(29,1),(31,1),(55,1),(65,1),(88,1)}
        16:{1,3,5,6}:{(8,1),(32,1),(33,1),(37,1),(70,1)}
        17:{2,3,5,6}:{(10,1),(34,1),(35,1),(38,1),(73,1)}
        18:{1,4,5,6}:{(11,1),(33,1),(37,1)}
        19:{2,4,5,6}:{(12,1),(35,1),(38,1)}
        20:{2,3,6,7}:{(7,1),(39,1),(70,1),(119,1),(133,1)}
        21:{1,2,5,7}:{(7,1),(8,1),(32,1),(39,1),(46,1),(132,1)}
        22:{1,4,5,7}:{(8,1),(33,1),(41,1),(84,1),(114,1)}
        23:{1,3,6,7}:{(9,1),(42,1),(73,1),(119,1),(131,1)}
        24:{1,2,5,7}:{(9,1),(10,1),(34,1),(42,1),(47,1),(130,1)}
        25:{2,4,5,7}:{(10,1),(35,1),(44,1),(85,1),(115,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(36,1),(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        27:{3,5,7}:{(11,1),(14,1),(37,1),(46,1),(110,1)}
        28:{3,5,7}:{(12,1),(15,1),(38,1),(47,1),(106,1)}
        29:{3,6,7}:{(13,1),(45,1),(70,1),(73,1),(119,1)}
        30:{2,4,6,7}:{(14,1),(46,1),(49,1),(71,1),(85,1),(112,1)}
        31:{1,4,6,7}:{(15,1),(47,1),(48,1),(74,1),(84,1),(107,1)}
        32:{1,2,5,6}:{(16,1),(21,1),(50,1),(51,1),(57,1),(120,1)}
        33:{1,4,6}:{(16,1),(22,1),(52,1)}
        34:{1,2,5,6}:{(17,1),(24,1),(53,1),(54,1),(58,1),(124,1)}
        35:{2,4,6}:{(17,1),(25,1),(55,1)}
        36:{1,2,4,5,6}:{(18,1),(19,1),(26,1),(51,1),(54,1),(56,1),(57,1),(58,1),(87,1),(91,1),(96,1),(97,1),(98,1),(120,1),(124,1),(126,1)}
        37:{3,5,6}:{(18,1),(27,1),(52,1),(57,1)}
        38:{3,5,6}:{(19,1),(28,1),(55,1),(58,1)}
        39:{2,3,5,7}:{(20,1),(21,1),(50,1),(59,1),(60,1),(136,1)}
        40:{1,2,4,5,7}:{(21,1),(22,1),(51,1),(59,1),(60,1),(61,1),(87,1),(99,1),(101,1),(105,1),(120,1),(126,1)}
        41:{3,4,5,7}:{(22,1),(27,1),(52,1),(60,1),(61,1),(65,1),(95,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(53,1),(62,1),(63,1),(135,1)}
        43:{1,2,4,5,7}:{(24,1),(25,1),(54,1),(62,1),(63,1),(64,1),(91,1),(103,1),(104,1),(105,1),(124,1),(126,1)}
        44:{3,4,5,7}:{(25,1),(28,1),(55,1),(63,1),(64,1),(65,1),(95,1)}
        45:{3,5,7}:{(26,1),(29,1),(56,1),(65,1)}
        46:{2,5,7}:{(27,1),(30,1),(57,1),(124,1)}
        47:{1,5,7}:{(28,1),(31,1),(58,1),(120,1)}
        48:{1,3,6,7}:{(29,1),(31,1),(66,1),(68,1),(89,1),(93,1)}
        49:{2,3,6,7}:{(29,1),(30,1),(67,1),(68,1),(90,1),(94,1)}
        50:{2,3,5,6}:{(32,1),(39,1),(69,1),(70,1),(106,1)}
        51:{1,2,4,6}:{(32,1),(33,1),(40,1),(69,1),(70,1),(71,1),(107,1),(109,1)}
        52:{3,4,6}:{(33,1),(37,1),(41,1),(70,1),(71,1)}
        53:{1,3,5,6}:{(34,1),(42,1),(72,1),(73,1),(110,1)}
        54:{1,2,4,6}:{(34,1),(35,1),(43,1),(72,1),(73,1),(74,1),(112,1),(113,1)}
        55:{3,4,6}:{(35,1),(38,1),(44,1),(73,1),(74,1)}
        56:{3,5,6}:{(36,1),(45,1),(70,1),(73,1),(75,1),(106,1),(110,1),(134,1)}
        57:{2,5,6}:{(37,1),(46,1),(71,1)}
        58:{1,5,6}:{(38,1),(47,1),(74,1)}
        59:{2,4,7}:{(39,1),(69,1),(78,1),(139,1)}
        60:{3,5,7}:{(40,1),(70,1),(78,1),(106,1),(119,1),(134,1)}
        61:{2,4,5,7}:{(41,1),(46,1),(71,1),(80,1),(85,1),(115,1)}
        62:{1,4,7}:{(42,1),(72,1),(81,1),(138,1)}
        63:{3,5,7}:{(43,1),(73,1),(81,1),(110,1),(119,1),(134,1)}
        64:{1,4,5,7}:{(44,1),(47,1),(74,1),(82,1),(84,1),(114,1)}
        65:{3,4,7}:{(45,1),(75,1),(84,1),(85,1),(119,1)}
        66:{1,3,5,7}:{(45,1),(47,1),(48,1),(76,1),(84,1),(86,1),(119,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(49,1),(77,1),(85,1),(86,1),(119,1)}
        68:{1,2,6,7}:{(48,1),(49,1),(86,1),(109,1),(113,1)}
        69:{2,4,6}:{(50,1),(59,1),(87,1),(88,1)}
        70:{3,6}:{(51,1),(60,1)}
        71:{2,4,6}:{(52,1),(57,1),(61,1),(90,1)}
        72:{1,4,6}:{(53,1),(62,1),(91,1),(92,1)}
        73:{3,6}:{(54,1),(63,1)}
        74:{1,4,6}:{(55,1),(58,1),(64,1),(93,1)}
        75:{3,4,6}:{(56,1),(65,1),(95,1),(96,1),(97,1),(127,1),(137,1)}
        76:{1,3,5,6}:{(56,1),(58,1),(66,1),(89,1),(93,1),(96,1),(98,1),(120,1),(123,1),(127,1),(135,1)}
        77:{2,3,5,6}:{(56,1),(57,1),(67,1),(90,1),(94,1),(97,1),(98,1),(121,1),(124,1),(127,1),(136,1)}
        78:{3,4,7}:{(59,1),(60,1),(88,1),(99,1),(137,1)}
        79:{1,3,5,7}:{(60,1),(89,1),(99,1),(101,1),(120,1),(128,1),(135,1)}
        80:{2,3,5,7}:{(60,1),(61,1),(90,1),(100,1),(101,1),(121,1)}
        81:{3,4,7}:{(62,1),(63,1),(92,1),(103,1),(137,1)}
        82:{1,3,5,7}:{(63,1),(64,1),(93,1),(102,1),(104,1),(123,1)}
        83:{2,3,5,7}:{(63,1),(94,1),(103,1),(104,1),(124,1),(129,1),(136,1)}
        84:{1,4,7}:{(65,1),(66,1),(96,1)}
        85:{2,4,7}:{(65,1),(67,1),(97,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(98,1),(105,1)}
        87:{2,4,5}:{(69,1),(106,1)}
        88:{3,4,6}:{(69,1),(70,1),(78,1),(106,1),(107,1)}
        89:{1,3,6}:{(70,1),(79,1),(107,1),(109,1)}
        90:{2,3,6}:{(70,1),(71,1),(80,1),(109,1)}
        91:{1,4,5}:{(72,1),(110,1)}
        92:{3,4,6}:{(72,1),(73,1),(81,1),(110,1),(112,1)}
        93:{1,3,6}:{(73,1),(74,1),(82,1),(113,1)}
        94:{2,3,6}:{(73,1),(83,1),(112,1),(113,1)}
        95:{3,4,5}:{(75,1),(106,1),(110,1),(114,1),(115,1),(134,1)}
        96:{1,4,6}:{(75,1),(76,1),(84,1),(114,1),(138,1)}
        97:{2,4,6}:{(75,1),(77,1),(85,1),(115,1),(139,1)}
        98:{1,2,5,6}:{(76,1),(77,1),(86,1),(109,1),(113,1),(116,1),(130,1),(132,1)}
        99:{1,4,7}:{(78,1),(79,1),(107,1),(138,1)}
       100:{2,3,4,7}:{(78,1),(80,1),(85,1),(108,1),(117,1),(119,1)}
       101:{1,2,5,7}:{(79,1),(80,1),(109,1),(117,1),(130,1)}
       102:{1,3,4,7}:{(81,1),(82,1),(84,1),(111,1),(118,1),(119,1)}
       103:{2,4,7}:{(81,1),(83,1),(112,1),(139,1)}
       104:{1,2,5,7}:{(82,1),(83,1),(113,1),(118,1),(132,1)}
       105:{1,2,4,7}:{(84,1),(85,1),(86,1),(116,1),(119,1)}
       106:{3,5}:{(87,1),(88,1),(120,1)}
       107:{1,4,6}:{(88,1),(89,1),(99,1),(120,1)}
       108:{2,3,4,6}:{(88,1),(90,1),(97,1),(100,1),(121,1),(122,1),(127,1),(137,1)}
       109:{1,2,6}:{(89,1),(90,1),(101,1)}
       110:{3,5}:{(91,1),(92,1),(124,1)}
       111:{1,3,4,6}:{(92,1),(93,1),(96,1),(102,1),(123,1),(125,1),(127,1),(137,1)}
       112:{2,4,6}:{(92,1),(94,1),(103,1),(124,1)}
       113:{1,2,6}:{(93,1),(94,1),(104,1)}
       114:{1,4,5}:{(95,1),(96,1),(120,1),(123,1)}
       115:{2,4,5}:{(95,1),(97,1),(121,1),(124,1)}
       116:{1,2,4,6}:{(96,1),(97,1),(98,1),(105,1),(126,1),(127,1)}
       117:{1,2,4,7}:{(99,1),(100,1),(101,1),(122,1),(128,1)}
       118:{1,2,4,7}:{(102,1),(103,1),(104,1),(125,1),(129,1)}
       119:{3,7}:{(105,1),(127,1)}
       120:{1,5}:{(106,1),(107,1)}
       121:{2,3,5}:{(106,1),(108,1),(115,1),(130,1),(134,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(117,1),(130,1),(131,1),(138,1)}
       123:{1,3,5}:{(110,1),(111,1),(114,1),(132,1),(134,1)}
       124:{2,5}:{(110,1),(112,1)}
       125:{1,2,4,6}:{(111,1),(112,1),(113,1),(118,1),(132,1),(133,1),(139,1)}
       126:{1,2,4,5}:{(114,1),(115,1),(116,1),(130,1),(132,1),(134,1),(138,1),(139,1)}
       127:{3,6}:{(116,1),(119,1),(134,1)}
       128:{1,3,7}:{(117,1),(119,1),(131,1)}
       129:{2,3,7}:{(118,1),(119,1),(133,1)}
       130:{1,2,5}:{(120,1),(121,1),(122,1),(135,1)}
       131:{1,3,6}:{(122,1),(127,1),(128,1),(135,1)}
       132:{1,2,5}:{(123,1),(124,1),(125,1),(136,1)}
       133:{2,3,6}:{(125,1),(127,1),(129,1),(136,1)}
       134:{3,5}:{(126,1),(127,1),(137,1)}
       135:{1,3,5}:{(130,1),(131,1),(134,1),(138,1)}
       136:{2,3,5}:{(132,1),(133,1),(134,1),(139,1)}
       137:{3,4}:{(134,1),(138,1),(139,1)}
       138:{1,4}:{(135,1),(137,1)}
       139:{2,4}:{(136,1),(137,1)}

1315 :   0:{1,2,3,5,6}:{(1,1),(2,1),(7,1),(11,1),(36,1),(38,1),(40,1),(42,1),(44,1),(77,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(17,1),(24,1),(26,1),(56,1),(59,1),(61,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(51,1),(53,1)}
         3:{3,4,6}:{(2,1),(10,1),(11,1),(42,1)}
         4:{1,2,3,6,7}:{(1,1),(12,1),(42,1),(77,1),(79,1),(80,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(10,1),(72,1),(74,1)}
         6:{1,2,4,5}:{(2,1),(11,1),(31,1),(32,1),(36,1)}
         7:{1,2,3,6}:{(15,1),(17,1),(18,1),(85,1)}
         8:{2,3,4,6}:{(3,1),(18,1),(19,1),(20,1),(46,1),(51,1),(58,1),(83,1),(85,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(21,1),(22,1),(46,1),(53,1),(60,1),(83,1),(85,1)}
        10:{3,4,7}:{(3,1),(5,1),(24,1)}
        11:{3,5}:{(3,1),(6,1)}
        12:{1,2,4,6,7}:{(4,1),(5,1),(23,1),(26,1),(27,1),(90,1),(92,1)}
        13:{1,2,4,5,7}:{(5,1),(6,1),(24,1),(26,1),(27,1),(50,1),(52,1),(56,1),(62,1)}
        14:{1,2,4,5,6}:{(6,1),(25,1),(27,1),(28,1),(51,1),(53,1),(57,1),(89,1),(91,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(30,1),(36,1),(67,1)}
        16:{3,4,5}:{(11,1),(31,1),(32,1),(34,1),(67,1)}
        17:{1,2,3,7}:{(7,1),(35,1),(99,1)}
        18:{1,2,4,6}:{(7,1),(8,1),(9,1),(30,1),(35,1),(36,1),(77,1)}
        19:{2,3,4,7}:{(8,1),(10,1),(35,1),(37,1),(66,1),(72,1),(99,1)}
        20:{2,3,5}:{(8,1),(11,1),(31,1),(36,1),(67,1),(97,1)}
        21:{1,3,4,7}:{(9,1),(10,1),(35,1),(39,1),(66,1),(74,1),(99,1)}
        22:{1,3,5}:{(9,1),(11,1),(32,1),(36,1),(67,1),(97,1)}
        23:{3,4,6,7}:{(10,1),(12,1),(41,1),(42,1),(81,1)}
        24:{3,5,7}:{(10,1),(11,1),(13,1),(42,1)}
        25:{3,5,6}:{(11,1),(14,1),(34,1),(42,1),(43,1)}
        26:{1,2,5,7}:{(12,1),(41,1),(44,1),(102,1),(103,1)}
        27:{1,2,4,6}:{(13,1),(42,1),(44,1),(71,1),(73,1),(77,1),(81,1)}
        28:{1,2,4,5,7}:{(14,1),(43,1),(45,1),(72,1),(74,1),(78,1),(102,1),(103,1),(104,1)}
        29:{1,2,3,5,7}:{(15,1),(17,1),(47,1),(48,1),(56,1),(84,1),(86,1)}
        30:{1,2,4}:{(15,1),(46,1)}
        31:{2,4,5}:{(16,1),(20,1),(51,1),(105,1)}
        32:{1,4,5}:{(16,1),(22,1),(53,1),(105,1)}
        33:{3,4,5,7}:{(16,1),(24,1),(50,1),(52,1),(54,1),(55,1),(62,1),(84,1),(94,1),(105,1),(111,1)}
        34:{3,4,6}:{(16,1),(25,1),(51,1),(53,1),(55,1),(85,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(19,1),(21,1),(56,1)}
        36:{1,2,5}:{(18,1),(20,1),(22,1)}
        37:{2,3,5,7}:{(19,1),(20,1),(24,1),(50,1),(56,1),(58,1),(84,1)}
        38:{2,3,5,6}:{(20,1),(25,1),(51,1),(57,1),(58,1),(59,1),(85,1),(89,1),(106,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(24,1),(52,1),(56,1),(60,1),(84,1)}
        40:{1,3,5,6}:{(22,1),(25,1),(53,1),(57,1),(60,1),(61,1),(85,1),(91,1),(106,1)}
        41:{3,5,7}:{(23,1),(26,1),(62,1),(63,1)}
        42:{3,6}:{(24,1),(27,1)}
        43:{3,5,7}:{(25,1),(28,1),(55,1),(64,1)}
        44:{1,2,5,6}:{(26,1),(27,1),(63,1),(89,1),(91,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(64,1),(65,1),(90,1),(92,1),(95,1),(96,1)}
        46:{3,4}:{(30,1),(67,1)}
        47:{1,2,3,6}:{(29,1),(68,1),(77,1),(98,1)}
        48:{1,2,4,7}:{(29,1),(30,1),(66,1),(68,1)}
        49:{1,2,4,5}:{(30,1),(31,1),(32,1),(36,1),(67,1),(70,1)}
        50:{2,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(102,1)}
        51:{2,4,6}:{(31,1),(34,1),(38,1),(72,1),(109,1)}
        52:{1,4,5,7}:{(32,1),(33,1),(39,1),(73,1),(74,1),(103,1)}
        53:{1,4,6}:{(32,1),(34,1),(40,1),(74,1),(109,1)}
        54:{3,4,6}:{(33,1),(42,1),(71,1),(73,1),(75,1),(81,1),(98,1),(109,1)}
        55:{3,4,7}:{(34,1),(43,1),(72,1),(74,1),(99,1)}
        56:{1,2,5,7}:{(35,1),(36,1),(37,1),(39,1),(77,1)}
        57:{1,2,5,6}:{(36,1),(38,1),(40,1),(70,1),(77,1),(78,1)}
        58:{2,3,6}:{(37,1),(42,1),(71,1),(77,1),(98,1)}
        59:{2,3,5,7}:{(38,1),(43,1),(72,1),(78,1),(79,1),(99,1),(102,1),(110,1)}
        60:{1,3,6}:{(39,1),(42,1),(73,1),(77,1),(98,1)}
        61:{1,3,5,7}:{(40,1),(43,1),(74,1),(78,1),(80,1),(99,1),(103,1),(110,1)}
        62:{4,5,7}:{(41,1),(81,1)}
        63:{3,5,6}:{(41,1),(42,1),(44,1),(81,1)}
        64:{3,6,7}:{(42,1),(43,1),(45,1)}
        65:{1,2,5,6,7}:{(44,1),(45,1),(82,1),(102,1),(103,1)}
        66:{3,4,7}:{(46,1),(48,1),(83,1),(84,1),(111,1)}
        67:{3,5}:{(46,1),(49,1),(85,1)}
        68:{1,2,4,6}:{(47,1),(48,1),(83,1),(86,1)}
        69:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(52,1),(56,1),(84,1),(86,1),(87,1),(88,1),(105,1),(108,1),(111,1)}
        70:{1,2,4,6}:{(49,1),(51,1),(53,1),(57,1),(85,1),(88,1)}
        71:{2,4,6}:{(50,1),(54,1),(58,1),(89,1)}
        72:{2,4,7}:{(51,1),(55,1),(59,1),(111,1)}
        73:{1,4,6}:{(52,1),(54,1),(60,1),(91,1)}
        74:{1,4,7}:{(53,1),(55,1),(61,1),(111,1)}
        75:{3,5,6}:{(54,1),(89,1),(91,1),(93,1),(94,1)}
        76:{3,4,6,7}:{(54,1),(55,1),(64,1),(90,1),(92,1),(94,1),(96,1),(107,1),(111,1)}
        77:{1,2,6}:{(56,1),(58,1),(60,1)}
        78:{1,2,5,7}:{(57,1),(59,1),(61,1),(88,1),(95,1)}
        79:{2,3,6,7}:{(58,1),(59,1),(64,1),(90,1),(95,1),(107,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(64,1),(92,1),(95,1),(107,1)}
        81:{4,6}:{(62,1),(63,1)}
        82:{3,5,6,7}:{(63,1),(64,1),(65,1),(94,1),(96,1)}
        83:{3,4,6}:{(66,1),(68,1),(97,1),(98,1),(109,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(97,1),(98,1),(99,1)}
        85:{3,6}:{(67,1),(70,1),(99,1)}
        86:{1,2,5}:{(68,1),(97,1)}
        87:{1,2,4,6}:{(69,1),(71,1),(73,1),(77,1),(98,1),(100,1),(109,1)}
        88:{1,2,4,7}:{(70,1),(72,1),(74,1),(78,1),(99,1)}
        89:{2,5,6}:{(71,1),(75,1),(102,1)}
        90:{2,4,6,7}:{(71,1),(72,1),(76,1),(79,1),(102,1)}
        91:{1,5,6}:{(73,1),(75,1),(103,1)}
        92:{1,4,6,7}:{(73,1),(74,1),(76,1),(80,1),(103,1)}
        93:{4,5,6}:{(75,1),(81,1),(104,1),(109,1)}
        94:{3,5,7}:{(75,1),(76,1),(102,1),(103,1),(104,1)}
        95:{1,2,6,7}:{(77,1),(78,1),(79,1),(80,1)}
        96:{4,6,7}:{(81,1),(82,1),(104,1)}
        97:{3,5}:{(83,1),(86,1),(105,1)}
        98:{3,6}:{(84,1),(87,1)}
        99:{3,7}:{(85,1),(88,1)}
       100:{1,2,5,6}:{(86,1),(87,1),(89,1),(91,1),(106,1),(108,1)}
       101:{1,2,4,6,7}:{(87,1),(88,1),(90,1),(92,1),(95,1),(107,1),(108,1),(111,1)}
       102:{2,5,7}:{(89,1),(90,1),(94,1)}
       103:{1,5,7}:{(91,1),(92,1),(94,1)}
       104:{4,5,7}:{(93,1),(94,1),(96,1),(111,1)}
       105:{4,5}:{(97,1),(109,1)}
       106:{3,5,6}:{(97,1),(98,1),(100,1),(109,1),(110,1)}
       107:{3,6,7}:{(98,1),(99,1),(101,1),(110,1)}
       108:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1316 :   0:{1,2,3,6,7}:{(2,1),(3,1),(38,1),(75,1),(76,1),(77,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(11,1),(15,1),(38,1),(43,1),(44,1),(45,1),(46,1),(77,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(84,1),(85,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(23,1),(59,1),(60,1),(61,1),(62,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(53,1),(54,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(13,1),(32,1),(38,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(11,1),(94,1),(95,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(13,1),(71,1),(72,1)}
         8:{1,2,4,5}:{(4,1),(15,1),(35,1),(36,1),(45,1)}
         9:{3,4,6}:{(4,1),(13,1),(15,1),(38,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,5,6}:{(6,1),(18,1),(22,1),(82,1),(83,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(22,1),(23,1),(50,1),(51,1),(59,1)}
        13:{3,4,7}:{(7,1),(9,1),(23,1)}
        14:{1,2,4,5,6}:{(8,1),(22,1),(26,1),(27,1),(47,1),(53,1),(54,1),(63,1),(82,1),(83,1)}
        15:{3,5}:{(8,1),(9,1)}
        16:{1,3,4,6}:{(9,1),(24,1),(28,1),(30,1),(53,1),(57,1),(89,1),(90,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(25,1),(29,1),(30,1),(54,1),(58,1),(89,1),(90,1),(105,1)}
        18:{3,5,6}:{(10,1),(11,1),(32,1),(38,1)}
        19:{4,5,7}:{(10,1),(32,1)}
        20:{3,4,5}:{(15,1),(34,1),(35,1),(36,1),(74,1)}
        21:{1,2,5,6,7}:{(11,1),(31,1),(37,1),(94,1),(95,1)}
        22:{1,2,4,6}:{(11,1),(12,1),(32,1),(38,1),(68,1),(69,1),(77,1)}
        23:{3,5,7}:{(12,1),(13,1),(15,1),(38,1)}
        24:{1,3,4,7}:{(13,1),(16,1),(39,1),(41,1),(71,1),(99,1),(100,1)}
        25:{2,3,4,7}:{(13,1),(17,1),(40,1),(41,1),(72,1),(99,1),(100,1)}
        26:{1,2,4,5,7}:{(14,1),(37,1),(42,1),(65,1),(71,1),(72,1),(79,1),(94,1),(95,1)}
        27:{3,5,6}:{(14,1),(15,1),(34,1),(38,1),(42,1)}
        28:{1,3,5}:{(15,1),(16,1),(35,1),(45,1),(74,1),(109,1)}
        29:{2,3,5}:{(15,1),(17,1),(36,1),(45,1),(74,1),(109,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(41,1),(45,1),(46,1),(77,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(48,1),(56,1),(81,1)}
        32:{4,6}:{(18,1),(19,1)}
        33:{3,4,5,7}:{(19,1),(20,1),(23,1),(49,1),(50,1),(51,1),(52,1),(81,1),(87,1),(110,1),(111,1)}
        34:{3,4,6}:{(20,1),(27,1),(52,1),(53,1),(54,1),(89,1)}
        35:{1,4,5}:{(20,1),(28,1),(53,1),(111,1)}
        36:{2,4,5}:{(20,1),(29,1),(54,1),(111,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(26,1),(48,1),(56,1),(84,1),(85,1),(91,1)}
        38:{3,6}:{(22,1),(23,1)}
        39:{1,3,5,7}:{(23,1),(24,1),(28,1),(50,1),(57,1),(59,1),(87,1)}
        40:{2,3,5,7}:{(23,1),(25,1),(29,1),(51,1),(58,1),(59,1),(87,1)}
        41:{1,2,4,7}:{(24,1),(25,1),(30,1),(59,1),(60,1)}
        42:{3,5,7}:{(26,1),(27,1),(52,1),(56,1)}
        43:{1,3,5,6}:{(27,1),(28,1),(53,1),(57,1),(61,1),(63,1),(82,1),(89,1),(103,1)}
        44:{2,3,5,6}:{(27,1),(29,1),(54,1),(58,1),(62,1),(63,1),(83,1),(89,1),(103,1)}
        45:{1,2,5}:{(28,1),(29,1),(30,1)}
        46:{1,2,3,6}:{(30,1),(60,1),(64,1),(89,1)}
        47:{4,5,6}:{(32,1),(65,1),(66,1),(108,1)}
        48:{4,6,7}:{(31,1),(32,1),(65,1)}
        49:{3,4,6}:{(32,1),(33,1),(38,1),(66,1),(68,1),(69,1),(98,1),(108,1)}
        50:{1,4,5,7}:{(33,1),(35,1),(39,1),(68,1),(71,1),(94,1)}
        51:{2,4,5,7}:{(33,1),(36,1),(40,1),(69,1),(72,1),(95,1)}
        52:{3,4,7}:{(34,1),(42,1),(71,1),(72,1),(100,1)}
        53:{1,4,6}:{(34,1),(35,1),(43,1),(71,1),(108,1)}
        54:{2,4,6}:{(34,1),(36,1),(44,1),(72,1),(108,1)}
        55:{1,2,4,5}:{(35,1),(36,1),(45,1),(73,1),(74,1),(80,1)}
        56:{3,6,7}:{(37,1),(38,1),(42,1)}
        57:{1,3,6}:{(38,1),(39,1),(68,1),(77,1),(98,1)}
        58:{2,3,6}:{(38,1),(40,1),(69,1),(77,1),(98,1)}
        59:{1,2,5,7}:{(39,1),(40,1),(41,1),(45,1),(77,1)}
        60:{1,2,3,7}:{(41,1),(46,1),(100,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(71,1),(75,1),(79,1),(94,1),(100,1),(107,1)}
        62:{2,3,5,7}:{(42,1),(44,1),(72,1),(76,1),(79,1),(95,1),(100,1),(107,1)}
        63:{1,2,5,6}:{(43,1),(44,1),(45,1),(73,1),(77,1),(79,1)}
        64:{1,2,3,5}:{(45,1),(46,1),(74,1),(80,1)}
        65:{4,5,7}:{(47,1),(48,1),(81,1),(110,1)}
        66:{3,5,6}:{(47,1),(49,1),(81,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(48,1),(49,1),(52,1),(56,1),(81,1),(84,1),(85,1),(104,1),(110,1)}
        68:{1,4,6}:{(49,1),(50,1),(57,1),(82,1)}
        69:{2,4,6}:{(49,1),(51,1),(58,1),(83,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(55,1),(59,1),(86,1),(87,1),(88,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        71:{1,4,7}:{(52,1),(53,1),(61,1),(110,1)}
        72:{2,4,7}:{(52,1),(54,1),(62,1),(110,1)}
        73:{1,2,4,6}:{(53,1),(54,1),(55,1),(63,1),(88,1),(89,1)}
        74:{3,5}:{(55,1),(89,1),(90,1)}
        75:{1,3,6,7}:{(56,1),(57,1),(61,1),(84,1),(91,1),(104,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(62,1),(85,1),(91,1),(104,1)}
        77:{1,2,6}:{(57,1),(58,1),(59,1)}
        78:{1,2,3,5,7}:{(59,1),(60,1),(64,1),(87,1),(92,1),(93,1),(106,1)}
        79:{1,2,5,7}:{(61,1),(62,1),(63,1),(88,1),(91,1)}
        80:{1,2,4}:{(64,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(67,1),(94,1),(95,1)}
        82:{1,5,6}:{(66,1),(68,1),(94,1)}
        83:{2,5,6}:{(66,1),(69,1),(95,1)}
        84:{1,4,6,7}:{(67,1),(68,1),(71,1),(75,1),(94,1)}
        85:{2,4,6,7}:{(67,1),(69,1),(72,1),(76,1),(95,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(96,1),(98,1),(108,1)}
        87:{3,5,7}:{(70,1),(74,1),(98,1),(99,1),(100,1),(109,1)}
        88:{1,2,4,7}:{(71,1),(72,1),(73,1),(79,1),(100,1)}
        89:{3,6}:{(73,1),(74,1),(100,1)}
        90:{3,4}:{(74,1),(80,1)}
        91:{1,2,6,7}:{(75,1),(76,1),(77,1),(79,1)}
        92:{1,2,3,6}:{(77,1),(78,1),(98,1),(101,1)}
        93:{1,2,4,7}:{(78,1),(80,1),(99,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(84,1)}
        95:{2,5,7}:{(81,1),(83,1),(85,1)}
        96:{1,2,5,6}:{(82,1),(83,1),(86,1),(102,1),(103,1),(106,1)}
        97:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(102,1),(104,1),(110,1)}
        98:{3,6}:{(86,1),(87,1)}
        99:{3,4,7}:{(87,1),(90,1),(93,1),(105,1),(110,1)}
       100:{3,7}:{(88,1),(89,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(97,1),(107,1)}
       103:{3,5,6}:{(96,1),(98,1),(107,1),(108,1),(109,1)}
       104:{3,6,7}:{(97,1),(98,1),(100,1),(107,1)}
       105:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(103,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1317 :   0:{1,2,3,6,7}:{(2,1),(3,1),(36,1),(44,1),(80,1),(81,1),(82,1),(104,1)}
         1:{1,3,4,6,7}:{(3,1),(4,1),(13,1),(17,1),(38,1),(44,1),(49,1),(82,1),(100,1),(104,1)}
         2:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(23,1),(26,1),(54,1),(61,1),(93,1),(94,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(7,1),(8,1),(27,1),(56,1),(67,1),(86,1),(95,1),(103,1)}
         4:{1,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(26,1),(58,1),(66,1)}
         5:{2,3,4,6,7}:{(3,1),(11,1),(13,1),(34,1),(37,1),(44,1),(71,1),(81,1),(99,1),(104,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(15,1),(36,1),(39,1),(44,1),(76,1),(77,1),(78,1),(80,1)}
         7:{1,2,4,7}:{(2,1),(12,1),(13,1),(72,1),(99,1),(100,1)}
         8:{1,2,5,7}:{(3,1),(4,1),(11,1),(15,1),(76,1),(83,1),(96,1)}
         9:{1,4,5,7}:{(4,1),(16,1),(17,1),(74,1),(100,1)}
        10:{1,3,5,6}:{(4,1),(15,1),(17,1),(44,1),(46,1)}
        11:{2,3,5,7}:{(5,1),(8,1),(19,1),(20,1),(26,1),(57,1),(85,1)}
        12:{1,2,4,6}:{(6,1),(7,1),(21,1),(22,1),(89,1),(90,1)}
        13:{3,4,7}:{(7,1),(21,1),(26,1),(87,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(19,1),(22,1),(26,1),(27,1),(30,1),(51,1),(61,1),(88,1),(103,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(20,1),(27,1),(65,1),(84,1)}
        16:{3,4,5,7}:{(9,1),(26,1),(30,1),(31,1),(55,1),(66,1),(91,1)}
        17:{1,4,6}:{(9,1),(10,1),(31,1)}
        18:{1,3,5,6,7}:{(10,1),(28,1),(32,1),(64,1),(66,1),(94,1)}
        19:{2,4,5,7}:{(11,1),(33,1),(34,1),(73,1),(99,1)}
        20:{2,3,5,6}:{(11,1),(15,1),(34,1),(44,1),(68,1)}
        21:{3,4,6}:{(12,1),(13,1),(39,1),(44,1)}
        22:{1,2,4,5}:{(12,1),(39,1),(73,1),(74,1),(76,1)}
        23:{1,2,3,7}:{(36,1),(41,1),(104,1)}
        24:{2,3,4,7}:{(13,1),(37,1),(41,1),(42,1),(99,1),(104,1)}
        25:{1,3,4,7}:{(13,1),(38,1),(41,1),(43,1),(100,1),(104,1)}
        26:{3,5,7}:{(13,1),(14,1),(39,1),(44,1),(97,1),(104,1)}
        27:{1,2,4,6}:{(14,1),(15,1),(17,1),(34,1),(44,1),(48,1),(70,1),(80,1)}
        28:{1,2,5,6,7}:{(15,1),(18,1),(35,1),(45,1),(83,1),(96,1),(101,1)}
        29:{1,4,5,6}:{(17,1),(46,1),(47,1)}
        30:{2,4,5,7}:{(16,1),(42,1),(48,1),(73,1),(83,1),(99,1)}
        31:{3,4,6}:{(16,1),(17,1),(44,1),(46,1),(48,1)}
        32:{1,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(100,1)}
        33:{3,4,5,7}:{(19,1),(26,1),(51,1),(52,1),(55,1),(85,1),(91,1)}
        34:{2,4,6}:{(19,1),(20,1),(52,1)}
        35:{2,3,5,6,7}:{(20,1),(28,1),(53,1),(64,1),(85,1),(93,1)}
        36:{1,2,3,6}:{(23,1),(54,1),(56,1),(102,1)}
        37:{2,3,4,6}:{(21,1),(24,1),(56,1),(57,1),(62,1),(87,1),(89,1),(102,1)}
        38:{1,3,4,6}:{(21,1),(25,1),(56,1),(58,1),(63,1),(87,1),(90,1),(102,1)}
        39:{3,5}:{(21,1),(22,1)}
        40:{1,2,4,5,6}:{(22,1),(27,1),(29,1),(50,1),(59,1),(60,1),(65,1),(84,1),(89,1),(90,1),(92,1)}
        41:{1,2,4,7}:{(23,1),(24,1),(25,1),(56,1),(61,1)}
        42:{2,3,5,7}:{(24,1),(26,1),(30,1),(57,1),(61,1),(62,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(51,1),(58,1),(61,1),(63,1)}
        44:{3,6}:{(26,1),(27,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(32,1),(53,1),(60,1),(64,1),(67,1),(86,1),(95,1),(103,1)}
        46:{3,5,6}:{(29,1),(31,1),(65,1),(66,1)}
        47:{1,4,5,7}:{(29,1),(32,1),(66,1)}
        48:{2,4,6}:{(30,1),(31,1),(62,1),(65,1)}
        49:{3,4,6,7}:{(31,1),(32,1),(64,1),(66,1),(67,1),(91,1)}
        50:{2,4,5,6}:{(34,1),(68,1),(69,1)}
        51:{1,4,5,7}:{(33,1),(43,1),(70,1),(74,1),(96,1),(100,1)}
        52:{3,4,6}:{(33,1),(34,1),(44,1),(68,1),(70,1)}
        53:{2,4,6,7}:{(34,1),(35,1),(69,1),(71,1),(99,1)}
        54:{1,2,3,5}:{(36,1),(72,1),(76,1),(97,1)}
        55:{3,4,5}:{(39,1),(73,1),(74,1),(75,1),(97,1)}
        56:{1,2,4,6}:{(36,1),(37,1),(38,1),(41,1),(72,1),(76,1),(80,1)}
        57:{2,3,5}:{(37,1),(39,1),(73,1),(76,1),(97,1)}
        58:{1,3,5}:{(38,1),(39,1),(74,1),(76,1),(97,1)}
        59:{3,5,6}:{(39,1),(40,1),(44,1),(75,1),(79,1)}
        60:{1,2,4,5,7}:{(40,1),(45,1),(47,1),(69,1),(79,1),(83,1),(96,1),(99,1),(100,1),(101,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(43,1),(76,1),(80,1)}
        62:{2,3,6}:{(42,1),(44,1),(48,1),(80,1)}
        63:{1,3,6}:{(43,1),(44,1),(70,1),(80,1)}
        64:{3,6,7}:{(44,1),(45,1),(79,1),(104,1)}
        65:{2,5,6}:{(46,1),(48,1),(83,1)}
        66:{3,5,7}:{(46,1),(47,1),(49,1),(83,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(81,1),(83,1),(99,1)}
        68:{3,5,6}:{(50,1),(52,1),(84,1),(85,1)}
        69:{2,4,5,7}:{(50,1),(53,1),(85,1)}
        70:{1,4,6}:{(51,1),(52,1),(63,1),(84,1)}
        71:{3,4,6,7}:{(52,1),(53,1),(64,1),(85,1),(86,1),(91,1)}
        72:{1,2,4}:{(54,1),(87,1)}
        73:{2,4,5}:{(55,1),(57,1),(89,1)}
        74:{1,4,5}:{(55,1),(58,1),(90,1)}
        75:{3,4,6}:{(55,1),(59,1),(89,1),(90,1),(91,1),(102,1)}
        76:{1,2,5}:{(56,1),(57,1),(58,1)}
        77:{2,3,5,6}:{(57,1),(59,1),(62,1),(65,1),(89,1),(92,1),(93,1),(102,1)}
        78:{1,3,5,6}:{(58,1),(59,1),(63,1),(84,1),(90,1),(92,1),(94,1),(102,1)}
        79:{3,5,7}:{(59,1),(60,1),(64,1),(91,1)}
        80:{1,2,6}:{(61,1),(62,1),(63,1)}
        81:{2,3,6,7}:{(62,1),(64,1),(67,1),(93,1),(95,1)}
        82:{1,3,6,7}:{(63,1),(64,1),(86,1),(94,1),(95,1)}
        83:{2,5,7}:{(65,1),(66,1),(67,1)}
        84:{1,5,6}:{(68,1),(70,1),(96,1)}
        85:{3,5,7}:{(68,1),(69,1),(71,1),(96,1)}
        86:{1,4,6,7}:{(70,1),(71,1),(82,1),(96,1),(100,1)}
        87:{3,4}:{(72,1),(97,1)}
        88:{1,2,4,5}:{(72,1),(73,1),(74,1),(76,1),(97,1),(98,1)}
        89:{2,4,6}:{(73,1),(75,1),(77,1),(99,1)}
        90:{1,4,6}:{(74,1),(75,1),(78,1),(100,1)}
        91:{3,4,7}:{(75,1),(79,1),(99,1),(100,1),(104,1)}
        92:{1,2,5,6}:{(76,1),(77,1),(78,1),(80,1),(98,1),(101,1)}
        93:{2,3,5,7}:{(77,1),(79,1),(81,1),(83,1),(99,1),(101,1),(104,1)}
        94:{1,3,5,7}:{(78,1),(79,1),(82,1),(96,1),(100,1),(101,1),(104,1)}
        95:{1,2,6,7}:{(80,1),(81,1),(82,1),(101,1)}
        96:{1,5,7}:{(84,1),(85,1),(86,1)}
        97:{3,5}:{(87,1),(88,1),(102,1)}
        98:{1,2,4,6}:{(88,1),(89,1),(90,1),(92,1),(102,1),(103,1)}
        99:{2,4,7}:{(89,1),(91,1),(93,1)}
       100:{1,4,7}:{(90,1),(91,1),(94,1)}
       101:{1,2,5,7}:{(92,1),(93,1),(94,1),(95,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1318 :   0:{2,4,5,6}:{(3,1),(4,1),(27,1),(33,1),(86,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(27,1),(38,1),(77,1),(89,1),(128,1),(141,1)}
         2:{2,5,6,7}:{(9,1),(11,1),(98,1),(102,1)}
         3:{2,4,5,7}:{(0,1),(11,1),(12,1),(46,1),(49,1),(102,1)}
         4:{3,5,6}:{(0,1),(10,1),(12,1),(13,1)}
         5:{3,4,5}:{(10,1),(16,1),(17,1),(62,1)}
         6:{2,3,5}:{(1,1),(17,1),(19,1),(62,1),(151,1),(162,1)}
         7:{2,3,4,7}:{(1,1),(18,1),(20,1),(49,1),(104,1),(117,1),(150,1),(163,1)}
         8:{1,2,4,6}:{(1,1),(19,1),(20,1),(21,1),(63,1),(65,1),(118,1)}
         9:{3,5,6,7}:{(2,1),(23,1),(24,1),(28,1),(70,1),(73,1)}
        10:{3,4,6}:{(4,1),(5,1),(25,1),(26,1),(27,1),(77,1)}
        11:{2,4,6,7}:{(2,1),(3,1),(24,1),(28,1)}
        12:{3,5,7}:{(3,1),(4,1),(25,1),(28,1),(29,1)}
        13:{1,5,6}:{(4,1),(26,1),(29,1)}
        14:{2,3,5,6}:{(4,1),(6,1),(27,1),(30,1),(31,1),(38,1),(77,1),(86,1),(140,1)}
        15:{3,4,5,7}:{(5,1),(25,1),(34,1),(35,1),(36,1),(73,1),(88,1),(92,1),(123,1),(172,1),(180,1)}
        16:{1,4,5}:{(5,1),(26,1),(32,1)}
        17:{2,4,5}:{(5,1),(6,1),(27,1),(180,1)}
        18:{2,3,5,7}:{(6,1),(7,1),(36,1),(38,1),(39,1),(88,1),(143,1),(167,1),(171,1)}
        19:{1,2,5}:{(6,1),(8,1),(40,1),(142,1)}
        20:{1,2,4,7}:{(7,1),(8,1),(39,1),(41,1),(91,1),(181,1)}
        21:{1,3,6}:{(8,1),(40,1),(41,1),(77,1)}
        22:{1,3,4}:{(32,1),(43,1),(89,1)}
        23:{1,5,6,7}:{(9,1),(44,1),(51,1),(101,1)}
        24:{4,6,7}:{(9,1),(46,1)}
        25:{3,4,7}:{(10,1),(12,1),(48,1),(49,1),(104,1)}
        26:{1,4,6}:{(10,1),(13,1),(16,1),(45,1),(48,1)}
        27:{2,4,6}:{(10,1),(14,1),(17,1),(49,1),(161,1)}
        28:{3,6,7}:{(11,1),(12,1),(51,1)}
        29:{1,5,7}:{(12,1),(13,1),(48,1),(51,1)}
        30:{2,3,5,7}:{(12,1),(14,1),(49,1),(52,1),(53,1),(102,1),(104,1),(152,1)}
        31:{1,2,5,6}:{(13,1),(14,1),(19,1),(50,1),(53,1),(54,1),(63,1),(151,1),(188,1)}
        32:{1,3,5}:{(16,1),(22,1),(45,1),(57,1),(62,1)}
        33:{4,5,6}:{(46,1),(58,1),(161,1)}
        34:{3,4,6}:{(15,1),(58,1),(59,1),(60,1),(116,1),(161,1)}
        35:{1,4,5,7}:{(15,1),(16,1),(48,1),(56,1),(59,1),(101,1),(119,1),(146,1)}
        36:{2,4,5,7}:{(15,1),(17,1),(18,1),(49,1),(60,1),(102,1),(120,1),(147,1)}
        37:{1,2,4,5}:{(16,1),(17,1),(19,1),(50,1),(57,1),(62,1),(65,1),(108,1),(114,1),(151,1)}
        38:{2,3,6}:{(18,1),(60,1),(63,1),(116,1),(188,1)}
        39:{1,2,5,7}:{(18,1),(19,1),(20,1),(63,1),(64,1),(164,1),(184,1)}
        40:{1,3,5}:{(19,1),(21,1),(62,1),(65,1)}
        41:{1,3,7}:{(20,1),(21,1),(104,1),(194,1)}
        42:{1,3,4,7}:{(22,1),(56,1),(66,1),(67,1),(117,1),(146,1),(185,1),(203,1)}
        43:{1,2,4}:{(22,1),(57,1),(68,1),(114,1)}
        44:{1,4,6,7}:{(23,1),(24,1),(69,1),(70,1)}
        45:{1,3,6}:{(26,1),(32,1),(71,1),(72,1),(77,1)}
        46:{4,5,7}:{(24,1),(33,1),(73,1),(172,1)}
        47:{3,4,6,7}:{(24,1),(25,1),(28,1),(34,1),(70,1),(73,1),(74,1),(75,1),(123,1),(130,1),(172,1)}
        48:{1,4,7}:{(25,1),(26,1),(29,1),(71,1)}
        49:{2,4,7}:{(25,1),(27,1),(30,1),(172,1)}
        50:{1,2,4,6}:{(26,1),(27,1),(31,1),(37,1),(72,1),(76,1),(77,1),(80,1),(128,1)}
        51:{1,6,7}:{(28,1),(29,1)}
        52:{2,3,6,7}:{(28,1),(30,1),(38,1),(75,1),(78,1),(130,1),(167,1)}
        53:{1,2,5,7}:{(29,1),(30,1),(31,1),(76,1),(78,1),(79,1),(171,1)}
        54:{1,3,5,6}:{(31,1),(40,1),(77,1),(79,1),(80,1),(90,1),(132,1),(140,1),(142,1),(174,1),(175,1)}
        55:{1,4,5,6}:{(33,1),(69,1),(81,1),(85,1),(135,1)}
        56:{1,3,5,7}:{(32,1),(35,1),(42,1),(71,1),(82,1),(83,1),(88,1),(93,1),(207,1)}
        57:{1,2,5}:{(32,1),(43,1),(72,1),(84,1)}
        58:{3,5,6}:{(33,1),(34,1),(73,1),(85,1),(86,1)}
        59:{1,4,6}:{(34,1),(35,1),(82,1),(85,1)}
        60:{2,4,6}:{(34,1),(36,1),(38,1),(86,1)}
        61:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(39,1),(76,1),(83,1),(87,1),(88,1),(91,1),(129,1),(134,1),(139,1),(142,1),(144,1),(168,1),(171,1),(172,1),(179,1),(180,1),(198,1),(207,1)}
        62:{3,5}:{(37,1),(77,1),(89,1)}
        63:{1,2,6}:{(38,1),(39,1),(90,1)}
        64:{1,3,5,7}:{(39,1),(40,1),(41,1),(88,1),(90,1),(91,1),(142,1),(182,1),(196,1),(207,1)}
        65:{1,4}:{(40,1),(89,1)}
        66:{1,3,4,6}:{(42,1),(82,1),(93,1),(94,1),(135,1),(141,1),(177,1),(183,1),(201,1)}
        67:{1,2,4,7}:{(42,1),(43,1),(83,1),(94,1),(95,1),(139,1)}
        68:{2,3}:{(43,1)}
        69:{1,4,5,7}:{(44,1),(46,1),(55,1),(96,1),(101,1),(146,1)}
        70:{3,6,7}:{(44,1),(96,1),(98,1)}
        71:{1,3,7}:{(45,1),(48,1),(99,1),(104,1)}
        72:{1,2,6}:{(45,1),(57,1),(99,1),(100,1)}
        73:{3,5,7}:{(46,1),(47,1),(58,1),(101,1),(102,1)}
        74:{1,4,6,7}:{(47,1),(48,1),(51,1),(59,1),(97,1),(101,1),(146,1)}
        75:{2,4,6,7}:{(47,1),(49,1),(52,1),(60,1),(98,1),(102,1),(147,1)}
        76:{1,2,4,7}:{(48,1),(49,1),(50,1),(53,1),(99,1),(104,1),(107,1),(150,1)}
        77:{3,6}:{(50,1),(62,1),(104,1)}
        78:{1,2,6,7}:{(51,1),(52,1),(53,1),(63,1),(106,1),(184,1),(188,1)}
        79:{1,3,5,7}:{(53,1),(54,1),(104,1),(106,1),(107,1),(152,1),(154,1),(155,1)}
        80:{1,4,6}:{(54,1),(65,1),(105,1),(107,1),(108,1),(161,1)}
        81:{3,5,6}:{(55,1),(96,1),(109,1),(111,1)}
        82:{1,3,6}:{(56,1),(59,1),(112,1),(116,1),(209,1)}
        83:{1,2,5,7}:{(56,1),(57,1),(67,1),(99,1),(112,1),(113,1),(121,1)}
        84:{2,3,5}:{(57,1),(62,1),(68,1),(100,1),(114,1),(151,1)}
        85:{1,5,6}:{(58,1),(59,1),(101,1)}
        86:{2,5,6}:{(58,1),(60,1),(102,1)}
        87:{1,2,4,6}:{(59,1),(60,1),(61,1),(63,1),(112,1),(115,1),(116,1),(118,1),(156,1),(160,1),(161,1),(188,1),(205,1),(209,1)}
        88:{3,5,7}:{(61,1),(62,1),(104,1),(116,1),(117,1),(162,1),(165,1),(185,1)}
        89:{3,4}:{(62,1),(65,1),(114,1)}
        90:{1,3,6}:{(63,1),(64,1),(116,1),(118,1),(209,1)}
        91:{1,4,7}:{(64,1),(65,1),(117,1),(118,1),(195,1)}
        92:{3,4,5}:{(109,1),(119,1),(120,1),(165,1)}
        93:{1,3,5}:{(66,1),(119,1),(121,1),(162,1),(165,1),(206,1)}
        94:{1,2,4,6}:{(66,1),(67,1),(112,1),(121,1),(122,1),(160,1),(166,1)}
        95:{2,3,7}:{(67,1),(68,1),(122,1),(185,1)}
        96:{3,5,7}:{(69,1),(70,1),(81,1),(123,1),(125,1)}
        97:{1,3,6,7}:{(70,1),(71,1),(74,1),(82,1),(124,1),(126,1),(130,1)}
        98:{2,6,7}:{(70,1),(125,1)}
        99:{1,2,7}:{(71,1),(72,1),(127,1)}
       100:{2,3,6}:{(72,1),(77,1),(84,1),(127,1),(128,1)}
       101:{1,5,7}:{(73,1),(74,1),(85,1)}
       102:{2,5,7}:{(73,1),(75,1),(86,1)}
       103:{1,2,4,6,7}:{(74,1),(75,1),(76,1),(78,1),(87,1),(126,1),(129,1),(130,1),(133,1),(168,1),(170,1),(172,1)}
       104:{3,7}:{(76,1),(77,1)}
       105:{3,4,6}:{(77,1),(80,1),(89,1),(128,1),(131,1),(132,1),(174,1)}
       106:{1,3,6,7}:{(78,1),(79,1),(90,1),(130,1),(133,1),(174,1),(196,1)}
       107:{1,4,7}:{(79,1),(80,1),(131,1),(172,1)}
       108:{1,4,5}:{(80,1),(132,1),(142,1),(180,1)}
       109:{3,4,6}:{(81,1),(92,1),(123,1),(135,1),(136,1),(177,1)}
       110:{1,3,5,6}:{(81,1),(82,1),(85,1),(93,1),(124,1),(135,1),(137,1),(140,1),(177,1)}
       111:{2,5,6}:{(81,1),(125,1),(136,1)}
       112:{1,2,6}:{(82,1),(83,1),(138,1)}
       113:{2,3,5,7}:{(83,1),(84,1),(88,1),(95,1),(127,1),(138,1),(139,1),(145,1),(171,1),(179,1)}
       114:{2,4}:{(84,1),(89,1)}
       115:{1,2,5,6}:{(85,1),(86,1),(87,1),(129,1),(140,1),(142,1),(175,1),(179,1),(199,1)}
       116:{3,6}:{(87,1),(88,1)}
       117:{3,4,7}:{(88,1),(89,1),(91,1),(139,1),(141,1),(172,1),(183,1)}
       118:{1,4,6}:{(90,1),(91,1),(141,1),(142,1)}
       119:{1,4,5}:{(92,1),(93,1),(135,1),(180,1)}
       120:{2,4,5}:{(92,1),(136,1),(143,1)}
       121:{1,2,5}:{(93,1),(94,1),(145,1),(179,1)}
       122:{2,3,6}:{(94,1),(95,1),(145,1),(177,1)}
       123:{3,4,7}:{(96,1),(109,1),(146,1),(147,1),(185,1)}
       124:{1,3,5,7}:{(96,1),(97,1),(101,1),(110,1),(146,1),(148,1),(152,1),(185,1)}
       125:{2,5,7}:{(96,1),(98,1),(111,1),(147,1)}
       126:{1,2,6,7}:{(97,1),(98,1),(99,1),(112,1),(148,1),(149,1),(209,1)}
       127:{2,3,7}:{(99,1),(100,1),(104,1),(150,1)}
       128:{2,4,6}:{(100,1),(105,1),(114,1),(150,1),(151,1),(188,1)}
       129:{1,2,5,7}:{(101,1),(102,1),(103,1),(115,1),(152,1),(155,1),(187,1)}
       130:{3,6,7}:{(103,1),(104,1),(116,1),(152,1),(185,1)}
       131:{3,4,7}:{(104,1),(105,1),(107,1),(150,1),(154,1)}
       132:{3,5}:{(105,1),(108,1),(151,1)}
       133:{1,4,6,7}:{(106,1),(107,1),(118,1),(153,1),(155,1),(156,1),(203,1),(209,1)}
       134:{1,4,5,7}:{(107,1),(108,1),(154,1),(155,1),(156,1),(189,1)}
       135:{1,4,6}:{(109,1),(110,1),(119,1),(146,1),(161,1)}
       136:{2,4,6}:{(109,1),(111,1),(120,1),(147,1),(157,1)}
       137:{1,2,5,6}:{(110,1),(111,1),(112,1),(121,1),(148,1),(158,1),(159,1),(206,1),(209,1)}
       138:{2,3,6}:{(112,1),(113,1),(116,1),(160,1),(188,1)}
       139:{2,4,7}:{(113,1),(114,1),(117,1),(160,1),(166,1)}
       140:{3,5,6}:{(115,1),(116,1),(152,1),(161,1),(162,1)}
       141:{3,4,6}:{(116,1),(117,1),(118,1),(160,1),(161,1),(162,1)}
       142:{1,5}:{(118,1),(162,1)}
       143:{2,3,5}:{(120,1),(157,1),(163,1),(164,1),(165,1)}
       144:{1,2,4,5}:{(119,1),(120,1),(121,1),(158,1),(164,1),(165,1),(166,1),(193,1),(195,1),(206,1)}
       145:{2,3,5}:{(121,1),(122,1),(165,1),(166,1)}
       146:{1,4,7}:{(123,1),(124,1),(135,1),(172,1)}
       147:{2,4,7}:{(123,1),(125,1),(136,1),(167,1)}
       148:{1,2,5,7}:{(124,1),(125,1),(126,1),(137,1),(168,1),(169,1),(207,1)}
       149:{2,3,6,7}:{(126,1),(127,1),(130,1),(138,1),(169,1),(170,1),(208,1)}
       150:{2,4,7}:{(127,1),(128,1),(131,1),(171,1)}
       151:{2,5}:{(128,1),(132,1)}
       152:{3,5,7}:{(129,1),(130,1),(140,1),(172,1)}
       153:{3,4,6,7}:{(130,1),(131,1),(133,1),(141,1),(170,1),(172,1),(173,1),(174,1),(197,1),(200,1),(208,1)}
       154:{3,5,7}:{(131,1),(132,1),(134,1),(171,1),(174,1)}
       155:{1,5,7}:{(133,1),(142,1),(173,1),(175,1)}
       156:{1,4,6}:{(134,1),(174,1),(175,1),(200,1)}
       157:{2,3,6}:{(136,1),(143,1),(167,1),(176,1),(177,1)}
       158:{1,2,4,6}:{(135,1),(136,1),(137,1),(144,1),(168,1),(176,1),(177,1),(178,1),(201,1)}
       159:{2,3,5,6}:{(137,1),(138,1),(140,1),(145,1),(169,1),(177,1),(178,1),(179,1),(199,1),(202,1),(208,1)}
       160:{2,4,6}:{(138,1),(139,1),(141,1),(179,1)}
       161:{4,6}:{(140,1),(172,1),(180,1)}
       162:{3,5}:{(141,1),(142,1),(179,1),(180,1)}
       163:{2,3,4}:{(143,1),(181,1),(183,1)}
       164:{1,2,5}:{(143,1),(176,1),(181,1),(182,1)}
       165:{3,5}:{(144,1),(177,1),(183,1)}
       166:{2,4}:{(145,1),(183,1)}
       167:{2,3,7}:{(147,1),(157,1),(184,1),(185,1)}
       168:{1,2,4,7}:{(146,1),(147,1),(148,1),(158,1),(184,1),(185,1),(186,1),(203,1)}
       169:{2,3,5,7}:{(148,1),(149,1),(152,1),(159,1),(185,1),(186,1),(187,1),(204,1)}
       170:{2,4,6,7}:{(149,1),(150,1),(153,1),(160,1),(186,1),(187,1),(188,1),(205,1)}
       171:{2,5,7}:{(150,1),(151,1),(154,1),(188,1)}
       172:{4,7}:{(152,1),(161,1)}
       173:{3,5,7}:{(153,1),(155,1),(162,1),(187,1),(189,1),(190,1)}
       174:{3,6}:{(154,1),(156,1),(188,1)}
       175:{1,5,6}:{(155,1),(156,1),(190,1),(209,1)}
       176:{1,2,6}:{(157,1),(164,1),(184,1),(191,1)}
       177:{3,6}:{(158,1),(165,1),(185,1)}
       178:{2,4,6}:{(159,1),(161,1),(166,1),(186,1),(192,1),(193,1)}
       179:{2,5}:{(160,1),(162,1)}
       180:{4,5}:{(161,1),(162,1)}
       181:{1,2,4}:{(163,1),(164,1),(194,1),(195,1)}
       182:{1,3,5}:{(164,1),(165,1),(191,1),(194,1),(195,1),(206,1)}
       183:{3,4}:{(165,1),(166,1),(195,1)}
       184:{1,2,7}:{(167,1),(176,1),(196,1)}
       185:{3,7}:{(168,1),(177,1)}
       186:{2,4,7}:{(169,1),(172,1),(178,1),(197,1)}
       187:{2,5,7}:{(170,1),(173,1),(179,1),(199,1)}
       188:{2,6}:{(171,1),(174,1)}
       189:{4,5,7}:{(172,1),(173,1),(180,1),(200,1)}
       190:{3,5,6}:{(173,1),(174,1),(175,1),(199,1),(200,1),(208,1)}
       191:{1,3,6}:{(176,1),(177,1),(182,1),(196,1),(201,1)}
       192:{3,4,6}:{(177,1),(178,1),(183,1),(197,1),(201,1),(202,1),(208,1)}
       193:{2,4,5}:{(178,1),(179,1),(180,1),(202,1)}
       194:{1,3}:{(181,1)}
       195:{1,4}:{(182,1),(183,1)}
       196:{1,3,7}:{(184,1),(185,1),(191,1),(203,1)}
       197:{3,4,7}:{(185,1),(186,1),(192,1),(203,1),(204,1)}
       198:{2,4,5,7}:{(186,1),(187,1),(189,1),(193,1),(204,1),(205,1)}
       199:{2,5,6}:{(187,1),(188,1),(190,1),(205,1)}
       200:{4,6}:{(189,1),(190,1)}
       201:{1,4,6}:{(191,1),(192,1),(195,1),(203,1),(206,1),(209,1)}
       202:{3,5}:{(192,1),(193,1),(206,1)}
       203:{1,4,7}:{(196,1),(197,1),(201,1),(207,1)}
       204:{3,5,7}:{(197,1),(198,1),(202,1),(207,1),(208,1)}
       205:{2,4,6}:{(198,1),(199,1),(200,1),(208,1)}
       206:{1,5}:{(201,1),(202,1)}
       207:{1,5,7}:{(203,1),(204,1),(206,1),(209,1)}
       208:{3,6}:{(204,1),(205,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

1319 :   0:{2,3,4,6,7}:{(1,1),(2,1),(11,1),(25,1),(27,1),(29,1),(52,1),(56,1),(84,1),(90,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(16,1),(17,1),(38,1),(69,1),(100,1),(104,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(37,1),(72,1),(101,1)}
         3:{1,3,6,7}:{(1,1),(8,1),(29,1),(113,1),(117,1)}
         4:{1,2,5,7}:{(1,1),(2,1),(8,1),(9,1),(53,1),(114,1)}
         5:{2,3,5,6}:{(2,1),(9,1),(11,1),(29,1),(32,1)}
         6:{2,4,5,7}:{(2,1),(11,1),(12,1),(84,1),(87,1)}
         7:{2,3,5,6,7}:{(5,1),(13,1),(14,1),(36,1),(37,1),(68,1),(120,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(15,1),(16,1),(18,1),(125,1)}
         9:{1,2,5,6}:{(4,1),(5,1),(15,1),(17,1),(47,1),(72,1)}
        10:{1,2,4,5,7}:{(4,1),(6,1),(16,1),(17,1),(18,1),(21,1),(39,1),(42,1),(46,1),(72,1),(100,1),(102,1)}
        11:{2,4,6}:{(5,1),(6,1),(20,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(37,1),(66,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(9,1),(22,1),(23,1),(53,1),(81,1),(85,1),(108,1)}
        14:{2,4,6,7}:{(7,1),(11,1),(24,1),(25,1),(84,1),(129,1)}
        15:{1,3,5,6}:{(8,1),(9,1),(26,1),(29,1),(54,1)}
        16:{1,4,7}:{(8,1),(26,1),(27,1),(132,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(11,1),(26,1),(29,1),(33,1),(56,1),(61,1)}
        18:{3,5,7}:{(10,1),(27,1),(29,1),(54,1),(113,1),(115,1)}
        19:{2,4,5,6}:{(11,1),(24,1),(32,1)}
        20:{3,4,6}:{(11,1),(12,1),(29,1),(32,1),(33,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(33,1),(53,1),(83,1),(86,1)}
        22:{1,3,5,6,7}:{(13,1),(15,1),(34,1),(36,1),(63,1),(67,1),(93,1)}
        23:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(35,1),(36,1),(38,1),(65,1),(69,1),(100,1),(119,1)}
        24:{2,4,5,7}:{(14,1),(19,1),(37,1),(135,1)}
        25:{3,4,6,7}:{(14,1),(20,1),(36,1),(37,1),(38,1),(66,1),(134,1)}
        26:{1,4,6}:{(15,1),(16,1),(39,1),(40,1)}
        27:{3,4,7}:{(16,1),(18,1),(40,1),(42,1),(126,1)}
        28:{1,2,4,5,6}:{(17,1),(19,1),(35,1),(39,1),(43,1),(47,1),(62,1),(72,1),(75,1),(76,1),(77,1),(94,1),(102,1),(119,1),(135,1),(139,1)}
        29:{3,6}:{(17,1),(18,1)}
        30:{1,3,5,7}:{(18,1),(21,1),(41,1),(44,1),(46,1),(71,1)}
        31:{2,3,5,7}:{(18,1),(42,1),(45,1),(46,1),(72,1),(74,1),(103,1)}
        32:{3,5,6}:{(19,1),(20,1),(37,1),(47,1)}
        33:{1,4,6}:{(20,1),(21,1),(44,1),(47,1)}
        34:{1,4,6,7}:{(22,1),(26,1),(48,1),(49,1),(83,1),(106,1)}
        35:{1,2,4,5,7}:{(23,1),(24,1),(28,1),(48,1),(50,1),(53,1),(81,1),(83,1),(84,1),(85,1)}
        36:{3,6,7}:{(23,1),(29,1),(50,1),(113,1),(128,1)}
        37:{3,5,7}:{(24,1),(25,1),(32,1),(53,1),(138,1)}
        38:{1,4,6,7}:{(25,1),(33,1),(51,1),(53,1),(83,1),(137,1)}
        39:{1,4,5}:{(26,1),(54,1)}
        40:{3,4,6}:{(26,1),(27,1),(29,1),(54,1),(56,1)}
        41:{1,3,4,7}:{(27,1),(30,1),(55,1),(57,1),(83,1),(113,1)}
        42:{2,4,7}:{(27,1),(31,1),(56,1),(116,1)}
        43:{3,5,6}:{(28,1),(29,1),(50,1),(54,1),(58,1),(115,1),(128,1),(138,1)}
        44:{1,3,6}:{(29,1),(30,1),(33,1),(61,1)}
        45:{2,3,6}:{(29,1),(31,1),(56,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(57,1),(61,1),(88,1)}
        47:{1,5,6}:{(32,1),(33,1),(53,1)}
        48:{1,4,5,7}:{(34,1),(39,1),(62,1),(63,1)}
        49:{3,4,6,7}:{(34,1),(36,1),(40,1),(63,1),(65,1),(66,1),(92,1)}
        50:{3,5,7}:{(35,1),(36,1),(43,1),(66,1)}
        51:{1,3,6,7}:{(36,1),(38,1),(44,1),(67,1),(69,1),(133,1)}
        52:{2,3,6,7}:{(36,1),(45,1),(65,1),(68,1),(69,1),(118,1)}
        53:{1,5,7}:{(37,1),(38,1),(47,1),(139,1)}
        54:{3,5}:{(39,1),(40,1),(72,1)}
        55:{1,3,4,6}:{(40,1),(41,1),(44,1),(71,1),(73,1),(75,1),(105,1),(126,1)}
        56:{2,4,6}:{(40,1),(42,1),(45,1),(72,1)}
        57:{1,2,4,7}:{(41,1),(42,1),(46,1),(73,1),(74,1)}
        58:{3,4,6}:{(43,1),(66,1),(70,1),(75,1),(76,1),(105,1),(126,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(47,1),(67,1),(71,1),(75,1),(77,1),(105,1),(125,1),(133,1),(139,1)}
        60:{2,3,5,6}:{(43,1),(45,1),(68,1),(72,1),(76,1),(77,1),(94,1),(101,1),(103,1),(105,1),(118,1)}
        61:{1,2,6}:{(44,1),(45,1),(46,1)}
        62:{1,4,5,6}:{(48,1),(78,1),(106,1)}
        63:{3,5,7}:{(48,1),(49,1),(54,1),(78,1),(81,1)}
        64:{1,3,4,6,7}:{(49,1),(51,1),(55,1),(80,1),(82,1),(83,1),(106,1),(113,1),(128,1),(131,1),(137,1)}
        65:{2,4,6,7}:{(49,1),(52,1),(56,1),(81,1),(84,1),(107,1)}
        66:{3,4,7}:{(50,1),(58,1),(83,1),(84,1),(113,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(59,1),(83,1),(85,1),(113,1)}
        68:{2,3,5,7}:{(50,1),(52,1),(60,1),(81,1),(84,1),(85,1),(113,1)}
        69:{1,2,6,7}:{(51,1),(52,1),(61,1),(85,1),(127,1)}
        70:{3,4,5}:{(54,1),(58,1),(86,1),(87,1),(115,1),(138,1)}
        71:{1,3,5}:{(54,1),(55,1),(86,1),(88,1),(115,1)}
        72:{2,5}:{(54,1),(56,1)}
        73:{1,2,4,6}:{(55,1),(56,1),(57,1),(61,1),(88,1),(89,1),(116,1)}
        74:{2,3,7}:{(57,1),(89,1),(113,1)}
        75:{1,4,6}:{(58,1),(59,1),(83,1),(86,1),(132,1)}
        76:{2,4,6}:{(58,1),(60,1),(84,1),(87,1),(116,1)}
        77:{1,2,5,6}:{(59,1),(60,1),(61,1),(85,1),(88,1),(91,1),(114,1),(127,1)}
        78:{3,5,6}:{(62,1),(63,1),(92,1),(94,1)}
        79:{3,4,5,7}:{(63,1),(66,1),(70,1),(92,1),(95,1),(96,1),(122,1)}
        80:{1,3,5,7}:{(63,1),(64,1),(71,1),(93,1),(95,1),(97,1),(122,1),(139,1)}
        81:{2,5,7}:{(63,1),(65,1),(72,1),(94,1)}
        82:{1,2,4,6,7}:{(64,1),(65,1),(69,1),(73,1),(97,1),(98,1),(100,1),(119,1),(123,1)}
        83:{1,4,7}:{(66,1),(67,1),(75,1)}
        84:{2,4,7}:{(66,1),(68,1),(76,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(77,1),(100,1)}
        86:{1,4,5}:{(70,1),(71,1),(75,1),(139,1)}
        87:{2,4,5}:{(70,1),(72,1),(76,1),(101,1)}
        88:{1,2,5}:{(71,1),(72,1),(73,1),(103,1)}
        89:{2,3,6}:{(73,1),(74,1),(103,1),(105,1)}
        90:{2,3,4,6}:{(76,1),(99,1),(101,1),(104,1),(105,1),(118,1),(126,1),(134,1)}
        91:{1,2,4,6}:{(75,1),(76,1),(77,1),(100,1),(102,1),(105,1)}
        92:{3,4,6}:{(78,1),(79,1),(106,1),(107,1),(128,1)}
        93:{1,3,5,6}:{(78,1),(80,1),(106,1),(108,1),(128,1)}
        94:{2,5,6}:{(78,1),(81,1),(107,1)}
        95:{1,4,5,7}:{(79,1),(80,1),(83,1),(86,1),(106,1)}
        96:{2,4,5,7}:{(79,1),(81,1),(84,1),(87,1),(107,1),(109,1)}
        97:{1,2,5,7}:{(80,1),(81,1),(82,1),(88,1),(108,1),(111,1)}
        98:{2,3,6,7}:{(82,1),(89,1),(111,1),(113,1),(128,1)}
        99:{2,3,4,7}:{(84,1),(90,1),(109,1),(112,1),(113,1),(131,1)}
       100:{1,2,4,7}:{(83,1),(84,1),(85,1),(91,1),(113,1)}
       101:{2,3,5}:{(87,1),(90,1),(114,1),(115,1),(138,1)}
       102:{1,2,4,5}:{(86,1),(87,1),(88,1),(91,1),(114,1),(115,1),(116,1),(132,1)}
       103:{2,3,5}:{(88,1),(89,1),(115,1),(116,1)}
       104:{1,2,4,6}:{(90,1),(112,1),(114,1),(117,1),(127,1),(132,1),(137,1)}
       105:{3,6}:{(91,1),(113,1),(115,1)}
       106:{1,4,6}:{(92,1),(93,1),(95,1)}
       107:{2,4,6}:{(92,1),(94,1),(96,1),(118,1)}
       108:{1,2,5,6}:{(93,1),(94,1),(97,1),(119,1),(120,1),(139,1)}
       109:{2,3,5,7}:{(96,1),(99,1),(101,1),(118,1),(121,1),(122,1)}
       110:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(100,1),(102,1),(119,1),(121,1),(122,1),(123,1),(135,1),(136,1),(139,1)}
       111:{2,3,5,7}:{(97,1),(98,1),(103,1),(120,1),(122,1),(123,1)}
       112:{1,2,4,7}:{(99,1),(104,1),(121,1),(124,1),(136,1)}
       113:{3,7}:{(100,1),(105,1)}
       114:{1,2,5}:{(101,1),(104,1),(125,1),(139,1)}
       115:{3,5}:{(102,1),(105,1),(126,1)}
       116:{2,4}:{(103,1),(126,1)}
       117:{1,3,6}:{(104,1),(105,1),(124,1),(125,1)}
       118:{2,3,6}:{(107,1),(109,1),(127,1),(128,1)}
       119:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(127,1),(128,1),(129,1),(137,1)}
       120:{2,3,5,6}:{(108,1),(111,1),(128,1),(129,1),(138,1)}
       121:{1,2,5,7}:{(109,1),(112,1),(114,1),(127,1),(130,1)}
       122:{3,5,7}:{(110,1),(113,1),(115,1),(128,1),(131,1),(138,1)}
       123:{2,4,7}:{(111,1),(116,1),(129,1),(131,1)}
       124:{1,3,7}:{(112,1),(113,1),(117,1)}
       125:{1,3,5}:{(114,1),(115,1),(117,1),(132,1)}
       126:{3,4}:{(115,1),(116,1),(132,1)}
       127:{1,2,6}:{(118,1),(121,1),(133,1)}
       128:{3,6}:{(119,1),(122,1)}
       129:{2,4,6}:{(120,1),(123,1),(134,1),(135,1)}
       130:{1,3,5,7}:{(121,1),(122,1),(124,1),(125,1),(133,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(126,1),(134,1),(136,1)}
       132:{1,4}:{(125,1),(126,1)}
       133:{1,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{3,4,6}:{(128,1),(129,1),(131,1),(137,1),(138,1)}
       135:{2,4,5}:{(129,1),(138,1)}
       136:{1,4,7}:{(130,1),(131,1),(132,1),(137,1)}
       137:{1,4,6}:{(133,1),(134,1),(136,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

1320 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(64,1),(116,1)}
         1:{2,3,4,6}:{(3,1),(5,1),(6,1),(18,1),(25,1),(28,1),(64,1),(66,1)}
         2:{1,2,3,5}:{(0,1),(8,1),(10,1),(34,1),(37,1),(87,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(10,1),(11,1),(43,1)}
         4:{1,2,3,7}:{(0,1),(11,1),(96,1),(144,1),(221,1)}
         5:{2,3,5}:{(1,1),(10,1),(12,1),(37,1),(98,1)}
         6:{2,3,4,7}:{(1,1),(11,1),(14,1),(38,1),(47,1),(96,1),(190,1)}
         7:{1,3,4,6}:{(3,1),(16,1),(17,1),(18,1),(54,1),(57,1),(64,1),(66,1)}
         8:{1,2,4}:{(2,1),(18,1)}
         9:{1,2,3,5,7}:{(2,1),(4,1),(20,1),(21,1),(23,1),(59,1),(65,1),(69,1),(117,1),(119,1)}
        10:{1,2,5}:{(3,1),(5,1),(16,1)}
        11:{1,2,4,7}:{(3,1),(4,1),(6,1),(17,1),(23,1),(208,1)}
        12:{2,4,5}:{(5,1),(24,1),(25,1),(128,1)}
        13:{2,3,5,6}:{(5,1),(22,1),(25,1),(27,1),(28,1),(29,1),(64,1),(76,1),(127,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(23,1),(26,1),(28,1),(65,1),(207,1),(227,1)}
        15:{2,4,5,6}:{(25,1),(29,1),(30,1),(76,1),(133,1)}
        16:{1,3,5}:{(7,1),(10,1),(31,1),(37,1),(98,1)}
        17:{1,3,4,7}:{(7,1),(11,1),(33,1),(38,1),(84,1),(96,1),(189,1)}
        18:{3,4}:{(8,1),(37,1)}
        19:{1,2,4,5}:{(8,1),(10,1),(12,1),(31,1),(37,1),(39,1),(44,1),(81,1),(87,1)}
        20:{1,2,4,7}:{(8,1),(9,1),(38,1),(41,1),(147,1)}
        21:{1,2,3,6}:{(9,1),(41,1),(43,1),(97,1),(145,1)}
        22:{1,2,5,6}:{(10,1),(13,1),(32,1),(39,1),(42,1),(43,1),(50,1),(136,1)}
        23:{1,2,5,7}:{(10,1),(11,1),(14,1),(33,1),(43,1),(220,1),(230,1)}
        24:{3,4,5}:{(12,1),(37,1),(44,1),(45,1)}
        25:{2,4,6}:{(12,1),(13,1),(45,1),(47,1),(155,1)}
        26:{2,4,5,7}:{(12,1),(14,1),(46,1),(47,1),(48,1),(105,1),(196,1),(223,1)}
        27:{2,3,5,7}:{(13,1),(42,1),(47,1),(49,1),(51,1),(96,1),(105,1),(154,1)}
        28:{2,3,6}:{(14,1),(43,1),(48,1),(97,1)}
        29:{3,5,6}:{(15,1),(45,1),(50,1),(51,1)}
        30:{2,4,5,7}:{(15,1),(47,1),(51,1),(52,1),(105,1),(158,1)}
        31:{1,4,5}:{(16,1),(53,1),(54,1),(128,1)}
        32:{1,3,5,6}:{(16,1),(22,1),(54,1),(56,1),(57,1),(64,1),(108,1),(115,1),(127,1)}
        33:{1,3,5,7}:{(16,1),(17,1),(23,1),(55,1),(57,1),(65,1),(206,1),(226,1)}
        34:{1,2,3}:{(58,1)}
        35:{2,3,4}:{(18,1),(58,1),(60,1)}
        36:{1,3,4}:{(18,1),(58,1),(62,1)}
        37:{3,5}:{(18,1),(19,1),(64,1)}
        38:{3,4,7}:{(18,1),(20,1),(65,1),(66,1),(170,1),(177,1)}
        39:{1,2,4,6}:{(19,1),(22,1),(25,1),(54,1),(64,1),(67,1),(71,1),(110,1),(116,1)}
        40:{1,2,4,5,7}:{(19,1),(20,1),(23,1),(26,1),(55,1),(65,1),(67,1),(68,1),(69,1),(72,1),(111,1),(117,1),(128,1),(129,1),(169,1),(177,1),(204,1)}
        41:{1,2,4,6}:{(20,1),(21,1),(66,1),(69,1)}
        42:{1,2,5,7}:{(22,1),(27,1),(56,1),(67,1),(70,1),(77,1),(160,1)}
        43:{1,2,6}:{(23,1),(28,1),(57,1)}
        44:{1,4,5}:{(24,1),(62,1),(71,1)}
        45:{3,4,6}:{(24,1),(25,1),(29,1),(64,1),(71,1),(73,1)}
        46:{3,4,5,7}:{(24,1),(26,1),(65,1),(72,1),(73,1),(74,1),(128,1),(132,1),(176,1),(177,1),(211,1)}
        47:{2,4,7}:{(25,1),(27,1),(73,1),(177,1)}
        48:{2,4,6}:{(26,1),(28,1),(74,1),(76,1)}
        49:{2,3,6,7}:{(27,1),(28,1),(70,1),(75,1),(78,1),(126,1),(227,1)}
        50:{1,5,6}:{(29,1),(71,1),(77,1)}
        51:{3,5,7}:{(29,1),(30,1),(73,1),(77,1),(78,1)}
        52:{2,4,6,7}:{(30,1),(78,1),(79,1),(135,1)}
        53:{3,4,5}:{(31,1),(37,1),(81,1),(82,1)}
        54:{1,4,6}:{(31,1),(32,1),(82,1),(84,1),(155,1)}
        55:{1,4,5,7}:{(31,1),(33,1),(83,1),(84,1),(85,1),(143,1),(193,1),(222,1)}
        56:{1,3,5,7}:{(32,1),(42,1),(84,1),(86,1),(96,1),(137,1),(143,1),(154,1)}
        57:{1,3,6}:{(33,1),(43,1),(85,1),(97,1)}
        58:{1,2,4}:{(34,1),(35,1),(36,1),(87,1)}
        59:{1,2,3,7}:{(34,1),(88,1),(89,1),(217,1),(230,1)}
        60:{2,3,5}:{(35,1),(37,1),(81,1),(87,1),(90,1)}
        61:{2,3,4,7}:{(35,1),(38,1),(88,1),(91,1),(92,1),(191,1),(217,1)}
        62:{1,3,5}:{(36,1),(37,1),(44,1),(87,1),(93,1)}
        63:{1,3,4,7}:{(36,1),(38,1),(88,1),(94,1),(95,1),(194,1),(217,1)}
        64:{3,6}:{(37,1),(39,1),(96,1)}
        65:{3,5,7}:{(37,1),(38,1),(40,1),(96,1),(97,1),(98,1),(188,1),(217,1)}
        66:{3,4,6}:{(38,1),(41,1),(97,1),(98,1),(155,1)}
        67:{1,2,4,7}:{(39,1),(42,1),(47,1),(84,1),(96,1),(101,1),(139,1),(144,1)}
        68:{1,2,4,6}:{(40,1),(43,1),(48,1),(85,1),(97,1),(100,1),(102,1),(140,1),(145,1),(155,1)}
        69:{1,2,5}:{(41,1),(98,1)}
        70:{1,2,6,7}:{(42,1),(43,1),(49,1),(86,1),(106,1),(181,1),(230,1)}
        71:{1,4,6}:{(44,1),(45,1),(50,1),(93,1),(101,1)}
        72:{1,4,5,7}:{(44,1),(46,1),(94,1),(101,1),(102,1),(153,1),(156,1),(194,1)}
        73:{3,4,7}:{(45,1),(47,1),(51,1),(96,1),(101,1)}
        74:{3,4,6}:{(46,1),(48,1),(97,1),(102,1),(104,1),(155,1)}
        75:{2,4,6,7}:{(47,1),(48,1),(49,1),(103,1),(105,1),(199,1),(223,1)}
        76:{2,5,6}:{(48,1),(104,1),(105,1)}
        77:{1,5,7}:{(50,1),(51,1),(101,1),(106,1)}
        78:{3,6,7}:{(51,1),(52,1),(106,1)}
        79:{2,5,6,7}:{(52,1),(105,1),(107,1),(199,1)}
        80:{1,4,5,6}:{(54,1),(108,1),(109,1),(115,1),(166,1)}
        81:{2,4,5}:{(53,1),(60,1),(110,1)}
        82:{3,4,6}:{(53,1),(54,1),(64,1),(108,1),(110,1),(112,1)}
        83:{3,4,5,7}:{(53,1),(55,1),(65,1),(111,1),(112,1),(113,1),(128,1),(165,1),(173,1),(177,1),(209,1)}
        84:{1,4,7}:{(54,1),(56,1),(112,1),(177,1)}
        85:{1,4,6}:{(55,1),(57,1),(113,1),(115,1)}
        86:{1,3,6,7}:{(56,1),(57,1),(70,1),(114,1),(126,1),(161,1),(226,1)}
        87:{1,2,5}:{(58,1),(60,1),(62,1),(116,1)}
        88:{1,2,4,7}:{(58,1),(59,1),(61,1),(63,1),(117,1),(118,1)}
        89:{1,2,3,6}:{(59,1),(118,1),(119,1),(205,1),(228,1)}
        90:{2,3,6}:{(60,1),(64,1),(110,1),(116,1),(120,1)}
        91:{2,3,5,7}:{(60,1),(61,1),(65,1),(111,1),(117,1),(120,1),(121,1),(122,1)}
        92:{2,3,4,6}:{(61,1),(66,1),(118,1),(121,1),(122,1),(170,1),(172,1),(205,1)}
        93:{1,3,6}:{(62,1),(64,1),(71,1),(116,1),(123,1)}
        94:{1,3,5,7}:{(62,1),(63,1),(65,1),(72,1),(117,1),(123,1),(124,1),(125,1)}
        95:{1,3,4,6}:{(63,1),(66,1),(118,1),(124,1),(125,1),(170,1),(175,1),(205,1)}
        96:{3,7}:{(64,1),(67,1)}
        97:{3,6}:{(65,1),(68,1)}
        98:{3,5}:{(66,1),(69,1),(128,1)}
        99:{1,2,4,6,7}:{(67,1),(68,1),(70,1),(75,1),(114,1),(126,1),(129,1),(130,1),(163,1),(167,1),(177,1),(204,1)}
       100:{1,2,5,6}:{(68,1),(69,1),(76,1),(115,1),(127,1),(129,1),(131,1),(164,1)}
       101:{1,4,7}:{(71,1),(73,1),(77,1),(123,1)}
       102:{1,4,6}:{(72,1),(74,1),(124,1),(131,1)}
       103:{3,4,6,7}:{(73,1),(74,1),(75,1),(78,1),(126,1),(130,1),(132,1),(135,1),(177,1),(180,1),(211,1)}
       104:{3,5,6}:{(74,1),(76,1),(131,1),(132,1),(133,1)}
       105:{2,5,7}:{(75,1),(76,1),(132,1)}
       106:{1,6,7}:{(77,1),(78,1)}
       107:{3,5,6,7}:{(78,1),(79,1),(132,1),(134,1),(135,1),(180,1)}
       108:{3,5,6}:{(80,1),(82,1),(136,1),(137,1)}
       109:{1,4,5,7}:{(80,1),(84,1),(137,1),(138,1),(143,1),(185,1)}
       110:{2,4,6}:{(81,1),(82,1),(90,1),(136,1),(139,1)}
       111:{2,4,5,7}:{(81,1),(83,1),(91,1),(139,1),(140,1),(150,1),(183,1),(191,1)}
       112:{3,4,7}:{(82,1),(84,1),(96,1),(137,1),(139,1)}
       113:{3,4,6}:{(83,1),(85,1),(97,1),(140,1),(142,1),(155,1)}
       114:{1,4,6,7}:{(84,1),(85,1),(86,1),(141,1),(143,1),(222,1),(229,1)}
       115:{1,5,6}:{(85,1),(142,1),(143,1)}
       116:{1,2,6}:{(87,1),(90,1),(93,1),(144,1)}
       117:{1,2,5,7}:{(87,1),(88,1),(91,1),(94,1),(144,1),(145,1),(146,1)}
       118:{1,2,4,6}:{(88,1),(89,1),(92,1),(95,1),(145,1),(146,1),(147,1)}
       119:{1,2,3,5}:{(89,1),(146,1),(147,1),(188,1),(220,1),(221,1)}
       120:{2,3,7}:{(90,1),(96,1),(139,1),(144,1)}
       121:{2,3,6}:{(91,1),(97,1),(140,1),(145,1)}
       122:{2,3,5}:{(92,1),(98,1),(146,1),(150,1),(188,1)}
       123:{1,3,7}:{(93,1),(96,1),(101,1),(144,1)}
       124:{1,3,6}:{(94,1),(97,1),(102,1),(145,1)}
       125:{1,3,5}:{(95,1),(98,1),(146,1),(153,1),(188,1)}
       126:{3,6,7}:{(96,1),(97,1),(99,1),(154,1),(217,1)}
       127:{3,5,6}:{(97,1),(98,1),(100,1),(154,1),(155,1)}
       128:{4,5}:{(98,1),(155,1)}
       129:{1,2,5,7}:{(99,1),(100,1),(105,1),(143,1),(154,1),(156,1),(183,1)}
       130:{1,4,6,7}:{(101,1),(102,1),(103,1),(106,1),(151,1),(156,1),(194,1)}
       131:{1,5,6}:{(102,1),(104,1),(156,1)}
       132:{3,5,7}:{(103,1),(104,1),(105,1),(156,1),(158,1)}
       133:{4,5,6}:{(104,1),(155,1),(158,1)}
       134:{1,5,6,7}:{(106,1),(107,1),(156,1),(159,1)}
       135:{4,6,7}:{(107,1),(158,1)}
       136:{2,5,6}:{(108,1),(110,1),(160,1)}
       137:{3,5,7}:{(108,1),(109,1),(112,1),(160,1),(161,1)}
       138:{1,4,6,7}:{(109,1),(161,1),(162,1),(201,1)}
       139:{2,4,7}:{(110,1),(112,1),(120,1),(160,1)}
       140:{2,4,6}:{(111,1),(113,1),(121,1),(164,1)}
       141:{3,4,6,7}:{(112,1),(113,1),(114,1),(126,1),(161,1),(163,1),(165,1),(177,1),(201,1),(209,1),(224,1)}
       142:{3,5,6}:{(113,1),(115,1),(164,1),(165,1),(166,1)}
       143:{1,5,7}:{(114,1),(115,1),(165,1)}
       144:{1,2,7}:{(116,1),(120,1),(123,1)}
       145:{1,2,6}:{(117,1),(121,1),(124,1)}
       146:{1,2,5}:{(118,1),(122,1),(125,1)}
       147:{1,2,4}:{(119,1),(170,1)}
       148:{2,3,6,7}:{(120,1),(121,1),(126,1),(163,1),(167,1),(171,1),(224,1)}
       149:{2,3,5,6}:{(121,1),(122,1),(127,1),(164,1),(168,1),(171,1),(172,1),(203,1),(205,1)}
       150:{2,4,5}:{(122,1),(128,1),(172,1),(173,1)}
       151:{1,3,6,7}:{(123,1),(124,1),(126,1),(130,1),(167,1),(174,1),(180,1)}
       152:{1,3,5,6}:{(124,1),(125,1),(127,1),(131,1),(168,1),(174,1),(175,1),(179,1),(205,1)}
       153:{1,4,5}:{(125,1),(128,1),(175,1),(176,1)}
       154:{3,5,7}:{(126,1),(127,1),(129,1),(177,1)}
       155:{4,6}:{(127,1),(128,1),(177,1)}
       156:{1,5,7}:{(130,1),(131,1),(132,1)}
       157:{1,4,5,6}:{(131,1),(133,1),(175,1),(178,1),(179,1)}
       158:{4,5,7}:{(132,1),(133,1),(135,1),(177,1)}
       159:{1,4,6,7}:{(134,1),(135,1),(178,1),(180,1)}
       160:{2,5,7}:{(136,1),(137,1),(139,1),(181,1)}
       161:{3,6,7}:{(137,1),(138,1),(181,1)}
       162:{1,5,6,7}:{(138,1),(143,1),(182,1),(229,1)}
       163:{2,4,6,7}:{(139,1),(140,1),(141,1),(148,1),(181,1),(183,1),(191,1)}
       164:{2,5,6}:{(140,1),(142,1),(183,1)}
       165:{3,5,7}:{(141,1),(142,1),(143,1),(183,1),(185,1)}
       166:{4,5,6}:{(142,1),(155,1),(185,1)}
       167:{1,2,6,7}:{(144,1),(145,1),(148,1),(151,1),(186,1),(199,1),(229,1)}
       168:{1,2,5,6}:{(145,1),(146,1),(149,1),(152,1),(186,1),(187,1),(198,1),(216,1)}
       169:{1,2,4,5}:{(146,1),(147,1),(150,1),(153,1),(187,1),(188,1),(193,1),(196,1),(220,1)}
       170:{3,4}:{(147,1),(188,1)}
       171:{2,3,5,7}:{(148,1),(149,1),(154,1),(183,1),(186,1),(191,1),(215,1),(217,1)}
       172:{2,4,6}:{(149,1),(150,1),(155,1),(191,1),(192,1)}
       173:{3,4,5}:{(150,1),(188,1),(192,1),(193,1)}
       174:{1,3,5,7}:{(151,1),(152,1),(154,1),(156,1),(186,1),(194,1),(197,1),(217,1)}
       175:{1,4,6}:{(152,1),(153,1),(155,1),(194,1),(195,1)}
       176:{3,4,5}:{(153,1),(188,1),(195,1),(196,1)}
       177:{4,7}:{(154,1),(155,1)}
       178:{1,4,5,7}:{(156,1),(157,1),(158,1),(159,1),(194,1),(197,1)}
       179:{3,5,6}:{(157,1),(195,1),(197,1),(198,1)}
       180:{3,6,7}:{(159,1),(197,1),(199,1)}
       181:{2,6,7}:{(160,1),(161,1)}
       182:{3,5,6,7}:{(161,1),(162,1),(165,1),(200,1),(201,1),(224,1)}
       183:{2,5,7}:{(163,1),(164,1),(165,1)}
       184:{2,4,5,6}:{(164,1),(166,1),(172,1),(202,1),(203,1)}
       185:{4,5,7}:{(165,1),(166,1),(177,1),(201,1)}
       186:{1,2,5,7}:{(167,1),(168,1),(171,1),(174,1),(204,1),(213,1),(225,1)}
       187:{1,2,4,6}:{(168,1),(169,1),(172,1),(175,1),(204,1),(205,1),(210,1),(212,1),(228,1)}
       188:{3,5}:{(169,1),(170,1),(205,1)}
       189:{1,3,4}:{(170,1),(206,1),(208,1)}
       190:{2,3,4}:{(170,1),(207,1),(208,1)}
       191:{2,4,7}:{(171,1),(172,1),(177,1),(209,1)}
       192:{3,4,6}:{(172,1),(173,1),(203,1),(205,1),(209,1),(210,1)}
       193:{1,4,5}:{(173,1),(206,1),(210,1)}
       194:{1,4,7}:{(174,1),(175,1),(177,1),(211,1)}
       195:{3,4,6}:{(175,1),(176,1),(179,1),(205,1),(211,1),(212,1)}
       196:{2,4,5}:{(176,1),(207,1),(212,1)}
       197:{3,5,7}:{(178,1),(179,1),(180,1),(211,1),(213,1)}
       198:{2,5,6}:{(179,1),(212,1),(213,1)}
       199:{2,6,7}:{(180,1),(213,1)}
       200:{2,5,6,7}:{(181,1),(182,1),(183,1),(214,1)}
       201:{4,6,7}:{(182,1),(185,1)}
       202:{2,4,5,7}:{(183,1),(184,1),(185,1),(191,1),(214,1),(215,1)}
       203:{3,5,6}:{(184,1),(192,1),(215,1),(216,1)}
       204:{1,2,4,7}:{(186,1),(187,1),(191,1),(194,1),(217,1),(222,1),(223,1),(230,1)}
       205:{3,6}:{(187,1),(188,1),(217,1)}
       206:{1,3,5}:{(188,1),(189,1),(193,1),(218,1),(220,1)}
       207:{2,3,5}:{(188,1),(190,1),(196,1),(219,1),(220,1)}
       208:{1,2,4}:{(189,1),(190,1),(220,1),(221,1)}
       209:{3,4,7}:{(191,1),(192,1),(215,1),(217,1),(222,1)}
       210:{1,4,6}:{(192,1),(193,1),(216,1),(218,1),(222,1)}
       211:{3,4,7}:{(194,1),(195,1),(197,1),(217,1),(223,1)}
       212:{2,4,6}:{(195,1),(196,1),(198,1),(219,1),(223,1)}
       213:{2,5,7}:{(197,1),(198,1),(199,1),(223,1)}
       214:{2,4,6,7}:{(200,1),(201,1),(202,1),(224,1)}
       215:{3,5,7}:{(202,1),(203,1),(209,1),(224,1),(225,1)}
       216:{1,5,6}:{(203,1),(210,1),(225,1)}
       217:{3,7}:{(204,1),(205,1)}
       218:{1,3,6}:{(205,1),(206,1),(210,1),(226,1),(228,1)}
       219:{2,3,6}:{(205,1),(207,1),(212,1),(227,1),(228,1)}
       220:{1,2,5}:{(206,1),(207,1),(208,1),(228,1)}
       221:{1,2,3}:{(208,1)}
       222:{1,4,7}:{(209,1),(210,1),(225,1),(226,1)}
       223:{2,4,7}:{(211,1),(212,1),(213,1),(227,1)}
       224:{3,6,7}:{(214,1),(215,1),(229,1)}
       225:{1,5,7}:{(215,1),(216,1),(222,1),(229,1)}
       226:{1,3,7}:{(217,1),(218,1),(222,1),(230,1)}
       227:{2,3,7}:{(217,1),(219,1),(223,1),(230,1)}
       228:{1,2,6}:{(218,1),(219,1),(220,1),(230,1)}
       229:{1,6,7}:{(224,1),(225,1)}
       230:{1,2,7}:{(226,1),(227,1),(228,1)}

1321 :   0:{2,4,5,6}:{(3,1),(4,1),(25,1),(80,1),(81,1)}
         1:{2,3,4,6}:{(5,1),(6,1),(7,1),(25,1),(38,1),(71,1),(76,1),(114,1),(130,1)}
         2:{3,4,5}:{(9,1),(10,1),(11,1),(50,1)}
         3:{3,5,6}:{(0,1),(9,1),(13,1),(15,1)}
         4:{2,4,5,7}:{(0,1),(15,1),(16,1),(48,1),(103,1),(104,1)}
         5:{2,3,5}:{(1,1),(11,1),(17,1),(50,1),(137,1),(153,1)}
         6:{1,2,4,6}:{(1,1),(17,1),(19,1),(20,1),(60,1),(62,1),(113,1)}
         7:{2,3,4,7}:{(1,1),(18,1),(20,1),(48,1),(100,1),(105,1),(138,1),(187,1)}
         8:{1,3,4}:{(21,1),(22,1),(76,1)}
         9:{3,4,6}:{(2,1),(3,1),(24,1),(25,1),(26,1),(71,1)}
        10:{1,4,5}:{(2,1),(21,1),(24,1)}
        11:{2,4,5}:{(2,1),(5,1),(25,1),(175,1)}
        12:{3,4,5,7}:{(2,1),(26,1),(28,1),(29,1),(30,1),(75,1),(77,1),(124,1),(163,1),(173,1),(175,1)}
        13:{1,5,6}:{(3,1),(24,1),(32,1)}
        14:{2,3,5,6}:{(3,1),(5,1),(25,1),(31,1),(33,1),(38,1),(71,1),(80,1),(131,1)}
        15:{3,5,7}:{(3,1),(4,1),(26,1),(32,1),(34,1)}
        16:{2,4,6,7}:{(4,1),(34,1),(35,1),(86,1)}
        17:{1,2,5}:{(5,1),(6,1),(36,1),(136,1)}
        18:{2,3,5,7}:{(5,1),(7,1),(29,1),(37,1),(38,1),(77,1),(159,1),(170,1),(195,1)}
        19:{1,3,6}:{(6,1),(36,1),(39,1),(71,1)}
        20:{1,2,4,7}:{(6,1),(7,1),(37,1),(39,1),(87,1),(199,1)}
        21:{1,3,5}:{(8,1),(10,1),(40,1),(41,1),(50,1)}
        22:{1,2,4}:{(8,1),(41,1),(43,1),(92,1)}
        23:{1,3,4,7}:{(8,1),(42,1),(44,1),(45,1),(105,1),(141,1),(180,1),(203,1)}
        24:{1,4,6}:{(9,1),(10,1),(13,1),(40,1),(47,1)}
        25:{2,4,6}:{(9,1),(11,1),(14,1),(48,1),(154,1)}
        26:{3,4,7}:{(9,1),(15,1),(47,1),(48,1),(100,1)}
        27:{1,2,4,5}:{(10,1),(11,1),(17,1),(41,1),(46,1),(50,1),(60,1),(92,1),(109,1),(137,1)}
        28:{1,4,5,7}:{(10,1),(12,1),(42,1),(47,1),(52,1),(98,1),(102,1),(141,1)}
        29:{2,4,5,7}:{(11,1),(12,1),(18,1),(48,1),(53,1),(103,1),(148,1),(181,1)}
        30:{3,4,6}:{(12,1),(52,1),(53,1),(54,1),(106,1),(154,1)}
        31:{1,2,5,6}:{(13,1),(14,1),(17,1),(46,1),(55,1),(56,1),(62,1),(137,1),(177,1)}
        32:{1,5,7}:{(13,1),(15,1),(47,1),(57,1)}
        33:{2,3,5,7}:{(14,1),(15,1),(48,1),(56,1),(58,1),(100,1),(103,1),(151,1)}
        34:{3,6,7}:{(15,1),(16,1),(57,1)}
        35:{2,5,6,7}:{(16,1),(59,1),(103,1),(158,1)}
        36:{1,3,5}:{(17,1),(19,1),(50,1),(60,1)}
        37:{1,2,5,7}:{(17,1),(18,1),(20,1),(61,1),(62,1),(188,1),(204,1)}
        38:{2,3,6}:{(18,1),(53,1),(62,1),(106,1),(177,1)}
        39:{1,3,7}:{(19,1),(20,1),(100,1),(206,1)}
        40:{1,3,6}:{(21,1),(24,1),(63,1),(64,1),(71,1)}
        41:{1,2,5}:{(21,1),(22,1),(63,1),(65,1)}
        42:{1,3,5,7}:{(21,1),(23,1),(28,1),(64,1),(66,1),(67,1),(70,1),(77,1),(208,1)}
        43:{2,3}:{(22,1)}
        44:{1,2,4,7}:{(22,1),(23,1),(66,1),(68,1),(69,1),(118,1)}
        45:{1,3,4,6}:{(23,1),(67,1),(69,1),(70,1),(121,1),(130,1),(166,1),(168,1),(197,1)}
        46:{1,2,4,6}:{(24,1),(25,1),(27,1),(31,1),(63,1),(71,1),(72,1),(82,1),(114,1)}
        47:{1,4,7}:{(24,1),(26,1),(32,1),(64,1)}
        48:{2,4,7}:{(25,1),(26,1),(33,1),(173,1)}
        49:{3,4,6,7}:{(26,1),(30,1),(34,1),(73,1),(74,1),(75,1),(86,1),(127,1),(135,1),(163,1),(173,1)}
        50:{3,5}:{(27,1),(71,1),(76,1)}
        51:{1,2,4,5,7}:{(27,1),(28,1),(29,1),(37,1),(66,1),(72,1),(77,1),(78,1),(87,1),(118,1),(123,1),(128,1),(133,1),(136,1),(159,1),(162,1),(164,1),(173,1),(175,1),(192,1),(208,1)}
        52:{1,4,6}:{(28,1),(30,1),(67,1),(79,1)}
        53:{2,4,6}:{(29,1),(30,1),(38,1),(80,1)}
        54:{3,5,6}:{(30,1),(75,1),(79,1),(80,1),(81,1)}
        55:{1,3,5,6}:{(31,1),(36,1),(71,1),(82,1),(83,1),(88,1),(125,1),(131,1),(136,1),(171,1),(176,1)}
        56:{1,2,5,7}:{(31,1),(32,1),(33,1),(72,1),(83,1),(84,1),(159,1)}
        57:{1,6,7}:{(32,1),(34,1)}
        58:{2,3,6,7}:{(33,1),(34,1),(38,1),(74,1),(84,1),(127,1),(195,1)}
        59:{3,5,6,7}:{(34,1),(35,1),(75,1),(85,1),(86,1),(135,1)}
        60:{1,4}:{(36,1),(76,1)}
        61:{1,3,5,7}:{(36,1),(37,1),(39,1),(77,1),(87,1),(88,1),(136,1),(169,1),(194,1),(208,1)}
        62:{1,2,6}:{(37,1),(38,1),(88,1)}
        63:{1,2,6}:{(40,1),(41,1),(89,1),(90,1)}
        64:{1,3,7}:{(40,1),(47,1),(90,1),(100,1)}
        65:{2,3,5}:{(41,1),(43,1),(50,1),(89,1),(92,1),(137,1)}
        66:{1,2,5,7}:{(41,1),(42,1),(44,1),(90,1),(93,1),(94,1),(97,1)}
        67:{1,3,6}:{(42,1),(52,1),(94,1),(106,1),(209,1)}
        68:{2,3,7}:{(43,1),(44,1),(96,1),(180,1)}
        69:{1,2,4,6}:{(44,1),(45,1),(94,1),(96,1),(97,1),(142,1),(146,1)}
        70:{1,3,5}:{(45,1),(97,1),(98,1),(147,1),(153,1),(205,1)}
        71:{3,6}:{(46,1),(50,1),(100,1)}
        72:{1,2,4,7}:{(46,1),(47,1),(48,1),(56,1),(90,1),(100,1),(110,1),(138,1)}
        73:{1,4,6,7}:{(47,1),(49,1),(52,1),(57,1),(91,1),(102,1),(141,1)}
        74:{2,4,6,7}:{(48,1),(49,1),(53,1),(58,1),(103,1),(158,1),(181,1)}
        75:{3,5,7}:{(49,1),(54,1),(102,1),(103,1),(104,1)}
        76:{3,4}:{(50,1),(60,1),(92,1)}
        77:{3,5,7}:{(50,1),(51,1),(100,1),(105,1),(106,1),(147,1),(153,1),(180,1)}
        78:{1,2,4,6}:{(51,1),(52,1),(53,1),(62,1),(94,1),(106,1),(107,1),(113,1),(142,1),(154,1),(156,1),(177,1),(201,1),(209,1)}
        79:{1,5,6}:{(52,1),(54,1),(102,1)}
        80:{2,5,6}:{(53,1),(54,1),(103,1)}
        81:{4,5,6}:{(54,1),(104,1),(154,1)}
        82:{1,4,6}:{(55,1),(60,1),(99,1),(109,1),(110,1),(154,1)}
        83:{1,3,5,7}:{(55,1),(56,1),(100,1),(110,1),(111,1),(149,1),(151,1),(157,1)}
        84:{1,2,6,7}:{(56,1),(57,1),(58,1),(62,1),(111,1),(177,1),(204,1)}
        85:{1,5,6,7}:{(57,1),(59,1),(102,1),(112,1)}
        86:{4,6,7}:{(59,1),(104,1)}
        87:{1,4,7}:{(60,1),(61,1),(105,1),(113,1),(186,1)}
        88:{1,3,6}:{(61,1),(62,1),(106,1),(113,1),(209,1)}
        89:{2,3,6}:{(63,1),(65,1),(71,1),(114,1),(115,1)}
        90:{1,2,7}:{(63,1),(64,1),(115,1)}
        91:{1,3,6,7}:{(64,1),(67,1),(73,1),(116,1),(117,1),(127,1),(135,1)}
        92:{2,4}:{(65,1),(76,1)}
        93:{2,3,5,7}:{(65,1),(66,1),(68,1),(77,1),(115,1),(118,1),(119,1),(122,1),(159,1),(164,1)}
        94:{1,2,6}:{(66,1),(67,1),(119,1)}
        95:{1,3,5,6}:{(67,1),(70,1),(79,1),(117,1),(120,1),(121,1),(131,1),(132,1),(166,1)}
        96:{2,3,6}:{(68,1),(69,1),(122,1),(166,1)}
        97:{1,2,5}:{(69,1),(70,1),(122,1),(164,1)}
        98:{1,4,5}:{(70,1),(121,1),(124,1),(175,1)}
        99:{3,4,6}:{(71,1),(76,1),(82,1),(114,1),(125,1),(126,1),(171,1)}
       100:{3,7}:{(71,1),(72,1)}
       101:{1,2,4,6,7}:{(72,1),(73,1),(74,1),(78,1),(84,1),(116,1),(127,1),(128,1),(134,1),(160,1),(162,1),(173,1)}
       102:{1,5,7}:{(73,1),(75,1),(79,1)}
       103:{2,5,7}:{(74,1),(75,1),(80,1)}
       104:{4,5,7}:{(75,1),(81,1),(86,1),(173,1)}
       105:{3,4,7}:{(76,1),(77,1),(87,1),(118,1),(130,1),(168,1),(173,1)}
       106:{3,6}:{(77,1),(78,1)}
       107:{1,2,5,6}:{(78,1),(79,1),(80,1),(128,1),(131,1),(136,1),(164,1),(176,1),(191,1)}
       108:{1,4,5,6}:{(79,1),(81,1),(121,1),(129,1),(132,1)}
       109:{1,4,5}:{(82,1),(125,1),(136,1),(175,1)}
       110:{1,4,7}:{(82,1),(83,1),(126,1),(173,1)}
       111:{1,3,6,7}:{(83,1),(84,1),(88,1),(127,1),(134,1),(171,1),(194,1)}
       112:{1,4,6,7}:{(85,1),(86,1),(129,1),(135,1)}
       113:{1,4,6}:{(87,1),(88,1),(130,1),(136,1)}
       114:{2,4,6}:{(89,1),(92,1),(99,1),(137,1),(138,1),(177,1)}
       115:{2,3,7}:{(89,1),(90,1),(100,1),(138,1)}
       116:{1,2,6,7}:{(90,1),(91,1),(94,1),(139,1),(140,1),(158,1),(209,1)}
       117:{1,3,5,7}:{(91,1),(95,1),(102,1),(140,1),(141,1),(151,1),(152,1),(180,1)}
       118:{2,4,7}:{(92,1),(93,1),(105,1),(142,1),(146,1)}
       119:{2,3,6}:{(93,1),(94,1),(106,1),(142,1),(177,1)}
       120:{1,2,5,6}:{(94,1),(95,1),(97,1),(140,1),(143,1),(144,1),(155,1),(205,1),(209,1)}
       121:{1,4,6}:{(95,1),(98,1),(141,1),(145,1),(154,1)}
       122:{2,3,5}:{(96,1),(97,1),(146,1),(147,1)}
       123:{1,2,4,5}:{(97,1),(98,1),(144,1),(146,1),(147,1),(148,1),(182,1),(186,1),(188,1),(205,1)}
       124:{3,4,5}:{(98,1),(145,1),(147,1),(148,1)}
       125:{3,5}:{(99,1),(109,1),(137,1)}
       126:{3,4,7}:{(99,1),(100,1),(110,1),(138,1),(149,1)}
       127:{3,6,7}:{(100,1),(101,1),(106,1),(151,1),(180,1)}
       128:{1,2,5,7}:{(101,1),(102,1),(103,1),(107,1),(151,1),(157,1),(178,1)}
       129:{1,4,5,7}:{(102,1),(104,1),(108,1),(112,1),(141,1),(152,1)}
       130:{3,4,6}:{(105,1),(106,1),(113,1),(142,1),(153,1),(154,1)}
       131:{3,5,6}:{(106,1),(107,1),(151,1),(153,1),(154,1)}
       132:{3,5,6}:{(108,1),(145,1),(152,1),(155,1)}
       133:{1,4,5,7}:{(109,1),(110,1),(149,1),(156,1),(157,1),(190,1)}
       134:{1,4,6,7}:{(110,1),(111,1),(113,1),(150,1),(156,1),(157,1),(203,1),(209,1)}
       135:{3,6,7}:{(112,1),(152,1),(158,1)}
       136:{1,5}:{(113,1),(153,1)}
       137:{2,5}:{(114,1),(125,1)}
       138:{2,4,7}:{(114,1),(115,1),(126,1),(159,1)}
       139:{2,3,6,7}:{(115,1),(116,1),(119,1),(127,1),(160,1),(161,1),(207,1)}
       140:{1,2,5,7}:{(116,1),(117,1),(120,1),(161,1),(162,1),(174,1),(208,1)}
       141:{1,4,7}:{(117,1),(121,1),(163,1),(173,1)}
       142:{2,4,6}:{(118,1),(119,1),(130,1),(164,1)}
       143:{2,3,5,6}:{(119,1),(120,1),(122,1),(131,1),(161,1),(164,1),(165,1),(166,1),(191,1),(196,1),(207,1)}
       144:{1,2,4,6}:{(120,1),(121,1),(123,1),(162,1),(165,1),(166,1),(167,1),(197,1),(198,1)}
       145:{3,4,6}:{(121,1),(124,1),(132,1),(163,1),(166,1),(167,1)}
       146:{2,4}:{(122,1),(168,1)}
       147:{3,5}:{(123,1),(166,1),(168,1)}
       148:{2,4,5}:{(124,1),(167,1),(170,1)}
       149:{3,5,7}:{(125,1),(126,1),(133,1),(159,1),(171,1)}
       150:{3,4,6,7}:{(126,1),(127,1),(130,1),(134,1),(160,1),(171,1),(172,1),(173,1),(193,1),(200,1),(207,1)}
       151:{3,5,7}:{(127,1),(128,1),(131,1),(173,1)}
       152:{3,5,7}:{(129,1),(132,1),(135,1),(163,1),(174,1)}
       153:{3,5}:{(130,1),(136,1),(164,1),(175,1)}
       154:{4,6}:{(131,1),(173,1),(175,1)}
       155:{2,5,6}:{(132,1),(167,1),(174,1)}
       156:{1,4,6}:{(133,1),(171,1),(176,1),(200,1)}
       157:{1,5,7}:{(134,1),(136,1),(172,1),(176,1)}
       158:{2,6,7}:{(135,1),(174,1)}
       159:{2,5,7}:{(137,1),(138,1),(149,1),(177,1)}
       160:{2,4,6,7}:{(138,1),(139,1),(142,1),(150,1),(177,1),(178,1),(179,1),(201,1)}
       161:{2,3,5,7}:{(139,1),(140,1),(143,1),(151,1),(178,1),(179,1),(180,1),(202,1)}
       162:{1,2,4,7}:{(140,1),(141,1),(144,1),(179,1),(180,1),(181,1),(203,1),(204,1)}
       163:{3,4,7}:{(141,1),(145,1),(152,1),(180,1),(181,1)}
       164:{2,5}:{(142,1),(153,1)}
       165:{2,4,6}:{(143,1),(146,1),(154,1),(179,1),(182,1),(183,1)}
       166:{3,6}:{(144,1),(147,1),(180,1)}
       167:{2,4,6}:{(145,1),(148,1),(155,1),(181,1),(185,1)}
       168:{3,4}:{(146,1),(147,1),(186,1)}
       169:{1,3,5}:{(147,1),(184,1),(186,1),(188,1),(205,1),(206,1)}
       170:{2,3,5}:{(147,1),(148,1),(185,1),(187,1),(188,1)}
       171:{3,6}:{(149,1),(156,1),(177,1)}
       172:{3,5,7}:{(150,1),(153,1),(157,1),(178,1),(189,1),(190,1)}
       173:{4,7}:{(151,1),(154,1)}
       174:{2,5,7}:{(152,1),(155,1),(158,1),(181,1)}
       175:{4,5}:{(153,1),(154,1)}
       176:{1,5,6}:{(156,1),(157,1),(189,1),(209,1)}
       177:{2,6}:{(159,1),(171,1)}
       178:{2,5,7}:{(160,1),(164,1),(172,1),(191,1)}
       179:{2,4,7}:{(161,1),(165,1),(173,1),(193,1)}
       180:{3,7}:{(162,1),(166,1)}
       181:{2,4,7}:{(163,1),(167,1),(174,1),(195,1)}
       182:{2,4,5}:{(164,1),(165,1),(175,1),(196,1)}
       183:{3,4,6}:{(165,1),(166,1),(168,1),(193,1),(196,1),(197,1),(207,1)}
       184:{1,3,6}:{(166,1),(169,1),(194,1),(197,1),(198,1)}
       185:{2,3,6}:{(166,1),(167,1),(170,1),(195,1),(198,1)}
       186:{1,4}:{(168,1),(169,1)}
       187:{2,3,4}:{(168,1),(170,1),(199,1)}
       188:{1,2,5}:{(169,1),(170,1),(198,1),(199,1)}
       189:{3,5,6}:{(171,1),(172,1),(176,1),(191,1),(200,1),(207,1)}
       190:{4,5,7}:{(172,1),(173,1),(175,1),(200,1)}
       191:{2,5,6}:{(177,1),(178,1),(189,1),(201,1)}
       192:{2,4,5,7}:{(178,1),(179,1),(182,1),(190,1),(201,1),(202,1)}
       193:{3,4,7}:{(179,1),(180,1),(183,1),(202,1),(203,1)}
       194:{1,3,7}:{(180,1),(184,1),(203,1),(204,1)}
       195:{2,3,7}:{(180,1),(181,1),(185,1),(204,1)}
       196:{3,5}:{(182,1),(183,1),(205,1)}
       197:{1,4,6}:{(183,1),(184,1),(186,1),(203,1),(205,1),(209,1)}
       198:{1,2,6}:{(184,1),(185,1),(188,1),(204,1)}
       199:{1,2,4}:{(186,1),(187,1),(188,1),(206,1)}
       200:{4,6}:{(189,1),(190,1)}
       201:{2,4,6}:{(191,1),(192,1),(200,1),(207,1)}
       202:{3,5,7}:{(192,1),(193,1),(196,1),(207,1),(208,1)}
       203:{1,4,7}:{(193,1),(194,1),(197,1),(208,1)}
       204:{1,2,7}:{(194,1),(195,1),(198,1)}
       205:{1,5}:{(196,1),(197,1)}
       206:{1,3}:{(199,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{1,5,7}:{(202,1),(203,1),(205,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

1322 :   0:{1,3,4,5,7}:{(1,1),(2,1),(12,1),(33,1),(80,1),(94,1),(97,1),(137,1),(146,1),(157,1)}
         1:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(21,1),(25,1),(60,1),(67,1),(70,1)}
         2:{1,3,4,6}:{(0,1),(6,1),(7,1),(71,1),(166,1),(174,1),(182,1)}
         3:{2,3,4,5,7}:{(8,1),(9,1),(13,1),(32,1),(46,1),(93,1),(138,1),(141,1),(146,1),(190,1)}
         4:{1,3,4,6,7}:{(2,1),(11,1),(12,1),(41,1),(90,1),(94,1),(154,1)}
         5:{2,3,5,7}:{(1,1),(13,1),(14,1),(46,1),(146,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(14,1),(15,1),(47,1)}
         7:{1,3,5,6}:{(2,1),(12,1),(15,1),(16,1),(48,1),(80,1),(199,1)}
         8:{1,2,4,5,7}:{(3,1),(18,1),(19,1),(21,1),(52,1),(60,1),(106,1),(109,1)}
         9:{2,3,4,6}:{(3,1),(19,1),(20,1),(110,1),(124,1),(174,1),(203,1)}
        10:{1,2,3,5,7}:{(5,1),(18,1),(21,1),(22,1),(60,1)}
        11:{1,2,4,6,7}:{(4,1),(6,1),(24,1),(25,1),(67,1)}
        12:{1,3,5,7}:{(4,1),(7,1),(25,1),(26,1),(68,1),(181,1)}
        13:{2,3,4,7}:{(5,1),(21,1),(27,1),(67,1),(115,1)}
        14:{2,3,6}:{(5,1),(6,1),(174,1)}
        15:{1,2,5,6}:{(6,1),(7,1),(25,1),(28,1),(60,1)}
        16:{1,4,5,6}:{(7,1),(26,1),(30,1),(109,1),(166,1)}
        17:{2,3,4,6,7}:{(9,1),(31,1),(32,1),(75,1),(134,1),(138,1),(187,1)}
        18:{1,3,5,7}:{(8,1),(33,1),(34,1),(80,1),(146,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(34,1),(35,1),(81,1)}
        20:{2,3,5,6}:{(9,1),(32,1),(35,1),(36,1),(46,1),(82,1),(208,1)}
        21:{1,2,4,7}:{(10,1),(13,1),(33,1),(38,1)}
        22:{1,2,3,6}:{(10,1),(14,1),(34,1),(38,1)}
        23:{1,3,5,6,7}:{(12,1),(40,1),(41,1),(88,1),(90,1),(136,1)}
        24:{2,3,6,7}:{(11,1),(14,1),(43,1),(90,1)}
        25:{1,2,5,7}:{(11,1),(12,1),(15,1),(43,1)}
        26:{1,4,5,7}:{(12,1),(16,1),(41,1),(45,1)}
        27:{2,3,4,6}:{(13,1),(14,1),(38,1),(46,1),(47,1),(87,1)}
        28:{2,3,5,6}:{(14,1),(15,1),(43,1),(46,1),(47,1),(48,1)}
        29:{1,2,4,5,6}:{(15,1),(16,1),(44,1),(47,1),(48,1),(49,1),(86,1),(98,1),(100,1),(145,1),(152,1),(199,1)}
        30:{3,4,5,6}:{(16,1),(45,1),(48,1),(49,1),(141,1),(189,1)}
        31:{1,2,4,6,7}:{(17,1),(19,1),(51,1),(52,1),(106,1)}
        32:{2,3,5,7}:{(17,1),(20,1),(52,1),(53,1),(107,1),(202,1)}
        33:{1,3,4,7}:{(18,1),(21,1),(54,1),(106,1),(115,1)}
        34:{1,3,6}:{(18,1),(19,1),(174,1)}
        35:{1,2,5,6}:{(19,1),(20,1),(52,1),(55,1),(60,1)}
        36:{2,4,5,6}:{(20,1),(53,1),(57,1),(70,1),(124,1)}
        37:{1,2,3,6,7}:{(22,1),(24,1),(51,1),(58,1),(59,1),(122,1),(165,1),(174,1),(206,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(27,1),(54,1),(60,1)}
        39:{1,2,3,5,6}:{(22,1),(28,1),(55,1),(59,1),(60,1),(61,1),(72,1),(112,1),(113,1),(116,1),(174,1),(178,1),(179,1),(206,1)}
        40:{1,2,5,6,7}:{(23,1),(25,1),(63,1),(64,1),(113,1),(119,1),(181,1)}
        41:{1,4,6,7}:{(23,1),(26,1),(65,1),(166,1)}
        42:{2,3,4,6,7}:{(24,1),(27,1),(58,1),(66,1),(67,1),(115,1),(121,1),(124,1),(174,1)}
        43:{2,3,5,7}:{(24,1),(25,1),(28,1),(67,1),(68,1)}
        44:{1,2,4,5,7}:{(25,1),(26,1),(29,1),(64,1),(67,1),(68,1),(69,1),(120,1),(126,1),(128,1),(181,1)}
        45:{3,4,5,7}:{(26,1),(30,1),(65,1),(68,1),(69,1)}
        46:{2,3,5}:{(27,1),(60,1),(70,1),(116,1)}
        47:{2,4,6}:{(28,1),(67,1),(70,1),(71,1)}
        48:{3,5,6}:{(29,1),(68,1),(71,1),(116,1),(174,1)}
        49:{2,4,5,6}:{(30,1),(69,1),(73,1),(172,1),(203,1)}
        50:{2,3,5,6,7}:{(32,1),(74,1),(75,1),(92,1),(132,1),(134,1)}
        51:{1,3,6,7}:{(31,1),(34,1),(77,1),(134,1)}
        52:{1,2,5,7}:{(31,1),(32,1),(35,1),(77,1)}
        53:{2,4,5,7}:{(32,1),(36,1),(75,1),(79,1)}
        54:{1,3,4,6}:{(33,1),(34,1),(38,1),(80,1),(81,1),(87,1)}
        55:{1,3,5,6}:{(34,1),(35,1),(77,1),(80,1),(81,1),(82,1)}
        56:{1,2,4,5,6}:{(35,1),(36,1),(78,1),(81,1),(82,1),(83,1),(86,1),(143,1),(144,1),(145,1),(185,1),(208,1)}
        57:{3,4,5,6}:{(36,1),(79,1),(82,1),(83,1),(97,1),(156,1)}
        58:{1,2,4,6,7}:{(37,1),(38,1),(42,1),(76,1),(84,1),(85,1),(145,1),(154,1),(187,1)}
        59:{1,2,3,5,7}:{(37,1),(39,1),(43,1),(77,1),(84,1),(85,1),(95,1),(140,1),(146,1),(196,1),(197,1)}
        60:{1,2,5}:{(38,1),(46,1),(80,1)}
        61:{1,2,4,6}:{(39,1),(47,1),(81,1),(85,1),(86,1),(87,1),(98,1),(143,1)}
        62:{1,4,5,6,7}:{(41,1),(88,1),(185,1)}
        63:{2,3,5,6,7}:{(40,1),(43,1),(89,1),(90,1),(92,1),(153,1)}
        64:{1,2,4,6,7}:{(40,1),(41,1),(44,1),(89,1),(90,1),(91,1),(145,1),(154,1),(155,1)}
        65:{3,4,6,7}:{(41,1),(45,1),(88,1),(90,1),(91,1),(189,1)}
        66:{2,3,5,7}:{(42,1),(46,1),(84,1),(92,1),(93,1),(146,1),(153,1)}
        67:{2,4,7}:{(43,1),(47,1),(94,1)}
        68:{3,5,7}:{(44,1),(48,1),(90,1),(94,1)}
        69:{2,4,5,7}:{(45,1),(49,1),(91,1),(96,1)}
        70:{2,4,5}:{(46,1),(47,1),(97,1)}
        71:{3,4,6}:{(47,1),(48,1),(94,1),(97,1),(98,1)}
        72:{1,3,5,6}:{(48,1),(95,1),(98,1),(100,1),(149,1),(160,1),(194,1),(199,1)}
        73:{2,3,5,6}:{(48,1),(49,1),(96,1),(99,1),(100,1),(150,1),(195,1)}
        74:{1,2,5,6,7}:{(50,1),(52,1),(102,1),(103,1),(113,1),(161,1),(202,1)}
        75:{2,4,6,7}:{(50,1),(53,1),(104,1),(124,1)}
        76:{1,3,4,6,7}:{(51,1),(54,1),(58,1),(105,1),(106,1),(115,1),(163,1),(166,1),(174,1)}
        77:{1,3,5,7}:{(51,1),(52,1),(55,1),(106,1),(107,1)}
        78:{1,2,4,5,7}:{(52,1),(53,1),(56,1),(103,1),(106,1),(107,1),(108,1),(162,1),(169,1),(170,1),(202,1)}
        79:{3,4,5,7}:{(53,1),(57,1),(104,1),(107,1),(108,1)}
        80:{1,3,5}:{(54,1),(60,1),(109,1),(116,1)}
        81:{1,4,6}:{(55,1),(106,1),(109,1),(110,1)}
        82:{3,5,6}:{(56,1),(107,1),(110,1),(116,1),(174,1)}
        83:{1,4,5,6}:{(57,1),(108,1),(111,1),(129,1),(182,1)}
        84:{1,2,5,7}:{(58,1),(60,1),(66,1),(105,1),(113,1),(181,1),(202,1)}
        85:{1,2,4,7}:{(59,1),(61,1),(67,1),(106,1),(115,1),(126,1),(169,1)}
        86:{1,2,4,5}:{(60,1),(61,1),(70,1),(109,1),(116,1),(129,1),(172,1),(178,1)}
        87:{3,4,6}:{(61,1),(115,1),(116,1),(174,1)}
        88:{3,5,6,7}:{(62,1),(65,1),(119,1),(201,1)}
        89:{2,4,6,7}:{(63,1),(67,1),(120,1),(121,1),(124,1)}
        90:{3,6,7}:{(64,1),(68,1),(174,1)}
        91:{2,4,6,7}:{(65,1),(69,1),(119,1),(123,1),(203,1)}
        92:{2,3,5,6}:{(66,1),(113,1),(124,1),(174,1),(180,1)}
        93:{2,4,5,7}:{(66,1),(67,1),(70,1),(124,1),(125,1)}
        94:{3,4,7}:{(67,1),(68,1),(71,1),(126,1)}
        95:{1,3,5,7}:{(68,1),(72,1),(122,1),(126,1),(128,1),(181,1),(183,1)}
        96:{2,3,5,7}:{(68,1),(69,1),(73,1),(123,1),(127,1),(128,1)}
        97:{3,4,5}:{(70,1),(71,1),(116,1),(129,1)}
        98:{1,4,6}:{(71,1),(72,1),(126,1),(129,1)}
        99:{2,3,4,6}:{(71,1),(73,1),(127,1),(130,1),(131,1)}
       100:{1,2,5,6}:{(72,1),(73,1),(128,1),(131,1),(178,1),(206,1)}
       101:{2,4,5,6,7}:{(75,1),(132,1),(152,1)}
       102:{1,3,5,6,7}:{(74,1),(77,1),(133,1),(134,1),(136,1),(186,1)}
       103:{1,2,4,6,7}:{(74,1),(75,1),(78,1),(133,1),(134,1),(135,1),(145,1),(187,1),(188,1)}
       104:{3,4,6,7}:{(75,1),(79,1),(132,1),(134,1),(135,1),(156,1)}
       105:{1,3,5,7}:{(76,1),(80,1),(84,1),(136,1),(137,1),(146,1),(186,1)}
       106:{1,4,7}:{(77,1),(81,1),(138,1)}
       107:{3,5,7}:{(78,1),(82,1),(134,1),(138,1)}
       108:{1,4,5,7}:{(79,1),(83,1),(135,1),(139,1)}
       109:{1,4,5}:{(80,1),(81,1),(141,1)}
       110:{3,4,6}:{(81,1),(82,1),(138,1),(141,1),(143,1)}
       111:{1,3,5,6}:{(82,1),(83,1),(139,1),(142,1),(144,1),(149,1),(194,1)}
       112:{2,3,5,6}:{(82,1),(140,1),(143,1),(144,1),(150,1),(193,1),(195,1),(208,1)}
       113:{1,2,5,6}:{(84,1),(92,1),(136,1),(145,1),(199,1),(208,1)}
       114:{1,2,4,5,7}:{(84,1),(85,1),(86,1),(93,1),(137,1),(145,1),(146,1),(157,1),(190,1),(196,1)}
       115:{3,4,7}:{(85,1),(87,1),(146,1)}
       116:{3,5}:{(86,1),(87,1)}
       117:{1,3,4,6}:{(87,1),(98,1),(147,1),(149,1),(151,1),(160,1),(194,1),(200,1)}
       118:{2,3,4,6}:{(87,1),(143,1),(148,1),(150,1),(151,1),(193,1),(195,1),(209,1)}
       119:{2,5,6,7}:{(88,1),(91,1),(208,1)}
       120:{2,4,5,7}:{(89,1),(152,1),(153,1)}
       121:{3,4,6,7}:{(89,1),(90,1),(94,1),(153,1),(154,1),(156,1)}
       122:{1,3,6,7}:{(90,1),(95,1),(154,1),(155,1),(194,1)}
       123:{2,3,6,7}:{(90,1),(91,1),(96,1),(155,1),(195,1)}
       124:{2,4,6}:{(92,1),(93,1),(156,1)}
       125:{3,4,5,7}:{(93,1),(94,1),(97,1),(146,1),(153,1),(156,1),(157,1)}
       126:{1,4,7}:{(94,1),(95,1),(98,1)}
       127:{2,3,4,7}:{(94,1),(96,1),(99,1),(158,1)}
       128:{1,2,5,7}:{(95,1),(96,1),(100,1),(155,1),(158,1)}
       129:{1,4,5}:{(97,1),(98,1),(149,1)}
       130:{2,3,4,5}:{(97,1),(99,1),(150,1),(159,1),(209,1)}
       131:{1,2,4,6}:{(98,1),(99,1),(100,1),(158,1),(159,1),(160,1)}
       132:{3,5,6,7}:{(101,1),(104,1),(161,1),(180,1)}
       133:{1,4,6,7}:{(102,1),(106,1),(162,1),(163,1),(166,1)}
       134:{3,6,7}:{(103,1),(107,1),(174,1)}
       135:{1,4,6,7}:{(104,1),(108,1),(161,1),(164,1),(182,1)}
       136:{1,3,5,6}:{(105,1),(113,1),(166,1),(174,1),(201,1)}
       137:{1,4,5,7}:{(105,1),(106,1),(109,1),(166,1),(167,1)}
       138:{3,4,7}:{(106,1),(107,1),(110,1),(169,1)}
       139:{1,3,5,7}:{(107,1),(108,1),(111,1),(164,1),(168,1),(170,1)}
       140:{2,3,5,7}:{(107,1),(112,1),(165,1),(169,1),(170,1),(202,1),(204,1)}
       141:{3,4,5}:{(109,1),(110,1),(116,1),(172,1)}
       142:{1,3,4,6}:{(110,1),(111,1),(168,1),(171,1),(173,1)}
       143:{2,4,6}:{(110,1),(112,1),(169,1),(172,1)}
       144:{1,2,5,6}:{(111,1),(112,1),(170,1),(173,1),(178,1),(206,1)}
       145:{1,2,4,6}:{(113,1),(114,1),(124,1),(166,1),(174,1),(182,1),(203,1),(206,1)}
       146:{3,5,7}:{(114,1),(115,1),(116,1),(174,1)}
       147:{1,3,4,7}:{(115,1),(117,1),(126,1),(175,1),(177,1),(183,1)}
       148:{2,3,4,7}:{(115,1),(118,1),(169,1),(176,1),(177,1),(204,1)}
       149:{1,3,5}:{(116,1),(117,1),(129,1),(178,1)}
       150:{2,3,5}:{(116,1),(118,1),(172,1),(178,1)}
       151:{1,2,4,6}:{(117,1),(118,1),(177,1),(178,1),(179,1),(206,1),(207,1)}
       152:{2,4,5,6}:{(120,1),(124,1),(180,1)}
       153:{3,5,7}:{(120,1),(121,1),(180,1),(181,1)}
       154:{1,4,6,7}:{(121,1),(122,1),(126,1),(181,1),(182,1)}
       155:{1,2,6,7}:{(122,1),(123,1),(128,1),(206,1)}
       156:{3,4,6}:{(124,1),(125,1),(174,1),(180,1),(182,1)}
       157:{1,4,5,7}:{(125,1),(126,1),(129,1),(175,1),(181,1),(182,1)}
       158:{1,2,4,7}:{(126,1),(127,1),(128,1),(131,1),(183,1)}
       159:{1,2,4,5}:{(129,1),(130,1),(131,1),(178,1),(184,1),(207,1)}
       160:{1,3,6}:{(131,1),(183,1),(184,1)}
       161:{1,5,6,7}:{(132,1),(135,1),(199,1)}
       162:{1,4,5,7}:{(133,1),(185,1),(186,1)}
       163:{3,4,6,7}:{(133,1),(134,1),(138,1),(186,1),(187,1),(189,1)}
       164:{1,3,6,7}:{(134,1),(135,1),(139,1),(188,1),(194,1)}
       165:{2,3,6,7}:{(134,1),(140,1),(187,1),(188,1),(195,1)}
       166:{1,4,6}:{(136,1),(137,1),(189,1)}
       167:{3,4,5,7}:{(137,1),(138,1),(141,1),(146,1),(186,1),(189,1),(190,1)}
       168:{1,3,4,7}:{(138,1),(139,1),(142,1),(191,1)}
       169:{2,4,7}:{(138,1),(140,1),(143,1)}
       170:{1,2,5,7}:{(139,1),(140,1),(144,1),(188,1),(191,1)}
       171:{1,3,4,5}:{(141,1),(142,1),(149,1),(192,1),(200,1)}
       172:{2,4,5}:{(141,1),(143,1),(150,1)}
       173:{1,2,4,6}:{(142,1),(143,1),(144,1),(191,1),(192,1),(193,1)}
       174:{3,6}:{(145,1),(146,1)}
       175:{1,3,5,7}:{(146,1),(147,1),(149,1),(157,1),(194,1),(196,1)}
       176:{2,3,5,7}:{(146,1),(148,1),(150,1),(190,1),(195,1),(196,1)}
       177:{1,2,4,7}:{(147,1),(148,1),(151,1),(196,1),(197,1)}
       178:{1,2,5}:{(149,1),(150,1),(151,1)}
       179:{1,2,3,6}:{(151,1),(160,1),(193,1),(197,1),(198,1)}
       180:{3,5,6}:{(152,1),(153,1),(156,1),(199,1)}
       181:{1,5,7}:{(153,1),(154,1),(199,1)}
       182:{1,4,6}:{(156,1),(157,1),(194,1),(199,1)}
       183:{1,3,7}:{(158,1),(160,1)}
       184:{1,3,5}:{(159,1),(160,1),(200,1)}
       185:{1,4,5,6}:{(162,1),(166,1),(201,1)}
       186:{3,5,7}:{(162,1),(163,1),(201,1),(202,1)}
       187:{2,4,6,7}:{(163,1),(165,1),(169,1),(202,1),(203,1)}
       188:{1,2,6,7}:{(164,1),(165,1),(170,1),(206,1)}
       189:{3,4,6}:{(166,1),(167,1),(174,1),(201,1),(203,1)}
       190:{2,4,5,7}:{(167,1),(169,1),(172,1),(176,1),(202,1),(203,1)}
       191:{1,2,4,7}:{(168,1),(169,1),(170,1),(173,1),(204,1)}
       192:{1,2,4,5}:{(171,1),(172,1),(173,1),(178,1),(205,1),(207,1)}
       193:{2,3,6}:{(173,1),(204,1),(205,1)}
       194:{1,3,6}:{(174,1),(175,1),(182,1),(206,1)}
       195:{2,3,6}:{(174,1),(176,1),(203,1),(206,1)}
       196:{1,2,5,7}:{(175,1),(176,1),(177,1),(178,1),(206,1)}
       197:{1,2,3,7}:{(177,1),(179,1),(183,1),(204,1)}
       198:{1,2,3,5}:{(178,1),(179,1),(184,1),(205,1),(207,1)}
       199:{1,5,6}:{(180,1),(181,1),(182,1)}
       200:{1,3,4}:{(184,1),(207,1)}
       201:{3,5,6}:{(185,1),(186,1),(189,1),(208,1)}
       202:{2,5,7}:{(186,1),(187,1),(208,1)}
       203:{2,4,6}:{(189,1),(190,1),(195,1),(208,1)}
       204:{2,3,7}:{(191,1),(193,1)}
       205:{2,3,5}:{(192,1),(193,1),(209,1)}
       206:{1,2,6}:{(194,1),(195,1),(196,1)}
       207:{1,2,4}:{(198,1),(200,1),(209,1)}
       208:{2,5,6}:{(201,1),(202,1),(203,1)}
       209:{2,3,4}:{(205,1),(207,1)}

1323 :   0:{1,3,4,5}:{(1,1),(2,1),(47,1),(111,1),(130,1)}
         1:{1,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(95,1)}
         2:{1,2,4,5}:{(0,1),(7,1),(8,1),(26,1),(85,1),(98,1)}
         3:{2,3,4,5}:{(9,1),(10,1),(19,1),(66,1),(171,1)}
         4:{3,4,5,6}:{(12,1),(13,1),(14,1),(61,1),(171,1),(214,1),(222,1)}
         5:{1,3,5,6}:{(1,1),(13,1),(15,1),(16,1),(61,1),(111,1),(174,1)}
         6:{1,3,4,7}:{(1,1),(15,1),(17,1),(129,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(18,1),(64,1)}
         8:{2,3,5}:{(2,1),(18,1),(19,1)}
         9:{2,3,4,6}:{(3,1),(21,1),(22,1),(23,1),(141,1)}
        10:{1,2,4,5}:{(3,1),(23,1),(24,1),(26,1),(85,1),(144,1)}
        11:{1,2,3,5}:{(8,1),(24,1),(25,1),(26,1),(85,1)}
        12:{3,4,5,7}:{(4,1),(31,1),(32,1),(33,1),(94,1),(208,1)}
        13:{1,4,5,6}:{(4,1),(5,1),(32,1),(144,1),(198,1)}
        14:{2,4,5,6}:{(4,1),(29,1),(33,1),(193,1),(224,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(32,1),(35,1),(36,1),(94,1)}
        16:{1,2,5,6}:{(5,1),(7,1),(36,1),(37,1),(85,1),(155,1)}
        17:{1,2,4,7}:{(6,1),(7,1),(36,1),(38,1),(97,1)}
        18:{2,3,6}:{(7,1),(8,1),(38,1)}
        19:{2,3,4}:{(8,1),(26,1)}
        20:{3,4,5,6}:{(40,1),(41,1),(42,1),(106,1),(130,1),(189,1),(230,1)}
        21:{2,3,5,6}:{(9,1),(42,1),(43,1),(44,1),(66,1),(106,1),(133,1)}
        22:{2,3,4,7}:{(9,1),(43,1),(45,1),(170,1)}
        23:{1,2,4,6}:{(9,1),(10,1),(44,1),(45,1),(46,1),(109,1)}
        24:{1,3,5}:{(10,1),(46,1),(47,1)}
        25:{1,2,3,6}:{(11,1),(18,1),(46,1),(51,1),(52,1)}
        26:{1,2,4}:{(11,1),(19,1),(47,1)}
        27:{1,3,4,5}:{(48,1),(53,1),(123,1),(171,1),(180,1)}
        28:{2,3,4,5}:{(49,1),(54,1),(122,1),(130,1),(178,1)}
        29:{2,3,5,6}:{(14,1),(49,1),(55,1),(56,1),(61,1),(178,1),(217,1)}
        30:{4,5,6,7}:{(57,1),(187,1),(230,1)}
        31:{3,4,6,7}:{(12,1),(57,1),(58,1),(59,1),(128,1),(187,1),(214,1)}
        32:{1,4,5,7}:{(12,1),(13,1),(15,1),(58,1)}
        33:{2,4,5,7}:{(12,1),(14,1),(55,1),(59,1)}
        34:{1,2,4,5,6}:{(13,1),(14,1),(16,1),(56,1),(60,1),(61,1),(64,1),(119,1),(126,1),(184,1),(190,1),(221,1),(222,1)}
        35:{1,3,6,7}:{(15,1),(58,1),(62,1),(128,1),(174,1)}
        36:{1,2,5,7}:{(15,1),(16,1),(17,1),(62,1),(63,1)}
        37:{2,3,5,6}:{(16,1),(18,1),(61,1),(63,1),(64,1),(66,1),(133,1),(190,1)}
        38:{2,3,7}:{(17,1),(18,1)}
        39:{2,3,4,6}:{(18,1),(19,1),(52,1),(64,1),(65,1),(66,1),(116,1),(133,1)}
        40:{3,4,5,7}:{(20,1),(69,1),(70,1),(71,1),(140,1),(225,1)}
        41:{1,4,5,6}:{(20,1),(67,1),(70,1),(159,1),(207,1)}
        42:{2,4,5,6}:{(20,1),(21,1),(71,1),(98,1),(164,1)}
        43:{2,3,5,7}:{(21,1),(22,1),(71,1),(73,1),(74,1),(140,1)}
        44:{1,2,5,6}:{(21,1),(23,1),(74,1),(75,1),(85,1),(155,1)}
        45:{1,2,4,7}:{(22,1),(23,1),(74,1),(76,1),(143,1)}
        46:{1,3,6}:{(23,1),(24,1),(76,1)}
        47:{1,3,4}:{(24,1),(26,1)}
        48:{1,3,4,6}:{(27,1),(67,1),(78,1),(79,1),(141,1)}
        49:{2,3,4,6}:{(28,1),(29,1),(80,1),(81,1),(95,1)}
        50:{1,2,3,5,6}:{(25,1),(37,1),(75,1),(82,1),(83,1),(85,1),(90,1),(136,1),(146,1),(152,1),(155,1),(200,1),(204,1),(205,1),(227,1)}
        51:{1,2,3,7}:{(25,1),(38,1),(76,1),(84,1)}
        52:{1,2,4,6}:{(25,1),(26,1),(39,1),(77,1),(84,1),(85,1),(155,1)}
        53:{1,2,4,5}:{(27,1),(79,1),(86,1),(156,1),(193,1),(200,1)}
        54:{1,2,4,5}:{(28,1),(81,1),(87,1),(156,1),(159,1),(200,1)}
        55:{2,3,5,7}:{(29,1),(33,1),(80,1),(88,1),(89,1),(94,1)}
        56:{1,2,5,6}:{(29,1),(81,1),(89,1),(90,1),(200,1),(227,1)}
        57:{3,5,6,7}:{(30,1),(31,1),(91,1),(92,1),(226,1)}
        58:{1,4,6,7}:{(31,1),(32,1),(35,1),(91,1),(198,1)}
        59:{2,4,6,7}:{(31,1),(33,1),(88,1),(92,1),(224,1)}
        60:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(36,1),(89,1),(93,1),(94,1),(97,1),(158,1),(163,1),(206,1),(208,1)}
        61:{3,5,6}:{(34,1),(94,1),(95,1),(152,1),(204,1)}
        62:{1,2,6,7}:{(35,1),(36,1),(96,1),(155,1)}
        63:{2,3,5,7}:{(36,1),(37,1),(38,1),(94,1),(96,1),(97,1),(163,1)}
        64:{2,4,6}:{(37,1),(95,1),(97,1),(98,1)}
        65:{2,3,4,7}:{(38,1),(39,1),(84,1),(97,1),(99,1),(151,1)}
        66:{2,3,5}:{(39,1),(85,1),(98,1),(152,1)}
        67:{1,3,5,6}:{(41,1),(48,1),(100,1),(101,1),(106,1),(180,1),(218,1)}
        68:{4,5,6,7}:{(102,1),(212,1),(222,1)}
        69:{3,4,6,7}:{(40,1),(102,1),(103,1),(104,1),(169,1),(189,1),(212,1)}
        70:{1,4,5,7}:{(40,1),(41,1),(100,1),(103,1)}
        71:{2,4,5,7}:{(40,1),(42,1),(43,1),(104,1)}
        72:{1,2,4,5,6}:{(41,1),(42,1),(44,1),(101,1),(105,1),(106,1),(109,1),(119,1),(167,1),(184,1),(215,1),(229,1),(230,1)}
        73:{2,3,6,7}:{(43,1),(104,1),(107,1),(133,1),(169,1)}
        74:{1,2,5,7}:{(43,1),(44,1),(45,1),(107,1),(108,1)}
        75:{1,3,5,6}:{(44,1),(46,1),(106,1),(108,1),(109,1),(111,1),(174,1),(215,1)}
        76:{1,3,7}:{(45,1),(46,1)}
        77:{1,3,4,6}:{(46,1),(47,1),(52,1),(109,1),(110,1),(111,1),(116,1),(174,1)}
        78:{1,3,4,7}:{(48,1),(100,1),(112,1),(170,1)}
        79:{1,2,4,6}:{(48,1),(53,1),(101,1),(112,1),(113,1),(167,1)}
        80:{2,3,4,7}:{(49,1),(55,1),(114,1),(129,1)}
        81:{1,2,4,6}:{(49,1),(54,1),(56,1),(114,1),(115,1),(126,1)}
        82:{1,2,3,5,7}:{(50,1),(51,1),(63,1),(108,1),(117,1),(118,1),(120,1),(125,1),(166,1),(175,1),(182,1),(183,1),(216,1)}
        83:{1,2,4,6}:{(50,1),(64,1),(109,1),(116,1),(118,1),(119,1),(126,1),(167,1)}
        84:{1,2,4,7}:{(51,1),(52,1),(65,1),(110,1),(120,1)}
        85:{1,2,5}:{(52,1),(66,1),(111,1)}
        86:{2,3,5}:{(53,1),(113,1),(122,1)}
        87:{1,3,5}:{(54,1),(115,1),(123,1)}
        88:{2,3,6,7}:{(55,1),(59,1),(124,1),(128,1),(217,1)}
        89:{1,2,5,7}:{(55,1),(56,1),(114,1),(124,1),(125,1)}
        90:{1,3,5,6}:{(56,1),(61,1),(115,1),(125,1),(126,1),(180,1),(218,1),(221,1)}
        91:{1,5,6,7}:{(57,1),(58,1),(215,1)}
        92:{2,5,6,7}:{(57,1),(59,1),(229,1)}
        93:{1,2,4,6,7}:{(58,1),(59,1),(60,1),(62,1),(124,1),(127,1),(128,1),(131,1),(184,1),(185,1),(187,1)}
        94:{3,5,7}:{(60,1),(61,1),(128,1),(129,1)}
        95:{3,4,6}:{(61,1),(64,1),(126,1),(129,1),(130,1)}
        96:{2,3,6,7}:{(62,1),(63,1),(128,1),(131,1),(133,1)}
        97:{2,4,7}:{(63,1),(64,1),(129,1)}
        98:{2,4,5}:{(64,1),(66,1),(130,1)}
        99:{2,3,5,7}:{(65,1),(66,1),(120,1),(132,1),(133,1),(182,1)}
       100:{1,3,5,7}:{(67,1),(70,1),(78,1),(134,1),(135,1),(140,1)}
       101:{1,2,5,6}:{(67,1),(79,1),(135,1),(136,1),(200,1),(227,1)}
       102:{3,5,6,7}:{(68,1),(69,1),(137,1),(138,1),(209,1)}
       103:{1,4,6,7}:{(69,1),(70,1),(134,1),(137,1),(207,1)}
       104:{2,4,6,7}:{(69,1),(71,1),(73,1),(138,1),(164,1)}
       105:{1,2,4,5,7}:{(70,1),(71,1),(72,1),(74,1),(135,1),(139,1),(140,1),(143,1),(192,1),(197,1),(223,1),(225,1)}
       106:{3,5,6}:{(72,1),(140,1),(141,1),(152,1),(204,1)}
       107:{1,2,6,7}:{(73,1),(74,1),(142,1),(155,1)}
       108:{1,3,5,7}:{(74,1),(75,1),(76,1),(140,1),(142,1),(143,1),(197,1)}
       109:{1,4,6}:{(75,1),(141,1),(143,1),(144,1)}
       110:{1,3,4,7}:{(76,1),(77,1),(84,1),(143,1),(145,1),(151,1)}
       111:{1,3,5}:{(77,1),(85,1),(144,1),(152,1)}
       112:{1,2,4,7}:{(78,1),(79,1),(135,1),(147,1),(192,1)}
       113:{2,3,6}:{(79,1),(86,1),(147,1)}
       114:{1,2,4,7}:{(80,1),(81,1),(89,1),(149,1),(158,1)}
       115:{1,3,6}:{(81,1),(87,1),(149,1)}
       116:{3,4,6}:{(83,1),(151,1),(152,1),(204,1)}
       117:{1,2,3,6,7}:{(82,1),(96,1),(142,1),(153,1),(155,1),(157,1),(191,1),(204,1),(227,1)}
       118:{1,2,4,7}:{(82,1),(83,1),(97,1),(143,1),(151,1),(158,1),(192,1)}
       119:{1,2,4,5}:{(83,1),(85,1),(98,1),(144,1),(152,1),(159,1),(193,1),(200,1)}
       120:{1,2,5,7}:{(84,1),(85,1),(99,1),(145,1),(155,1)}
       121:{1,2,3,5}:{(86,1),(87,1),(146,1),(156,1),(200,1)}
       122:{2,3,4}:{(86,1),(156,1)}
       123:{1,3,4}:{(87,1),(156,1)}
       124:{1,2,6,7}:{(88,1),(89,1),(157,1),(227,1)}
       125:{1,3,5,7}:{(89,1),(90,1),(94,1),(149,1),(157,1),(158,1),(206,1)}
       126:{1,4,6}:{(90,1),(95,1),(158,1),(159,1)}
       127:{1,2,5,6,7}:{(91,1),(92,1),(93,1),(160,1),(163,1),(205,1),(206,1)}
       128:{3,6,7}:{(93,1),(94,1),(204,1)}
       129:{3,4,7}:{(94,1),(95,1),(97,1),(158,1)}
       130:{3,4,5}:{(95,1),(98,1),(152,1),(159,1)}
       131:{2,4,6,7}:{(96,1),(97,1),(161,1),(163,1),(164,1)}
       132:{2,4,5,7}:{(97,1),(98,1),(99,1),(162,1),(163,1),(164,1)}
       133:{2,3,6}:{(99,1),(155,1),(164,1),(204,1)}
       134:{1,3,6,7}:{(100,1),(103,1),(165,1),(169,1),(218,1)}
       135:{1,2,5,7}:{(100,1),(101,1),(112,1),(165,1),(166,1)}
       136:{2,3,5,6}:{(101,1),(106,1),(113,1),(166,1),(167,1),(178,1),(217,1),(229,1)}
       137:{1,5,6,7}:{(102,1),(103,1),(221,1)}
       138:{2,5,6,7}:{(102,1),(104,1),(190,1)}
       139:{1,2,4,6,7}:{(103,1),(104,1),(105,1),(107,1),(165,1),(168,1),(169,1),(172,1),(184,1),(210,1),(212,1)}
       140:{3,5,7}:{(105,1),(106,1),(169,1),(170,1)}
       141:{3,4,6}:{(106,1),(109,1),(167,1),(170,1),(171,1)}
       142:{1,3,6,7}:{(107,1),(108,1),(169,1),(172,1),(174,1)}
       143:{1,4,7}:{(108,1),(109,1),(170,1)}
       144:{1,4,5}:{(109,1),(111,1),(171,1)}
       145:{1,3,5,7}:{(110,1),(111,1),(120,1),(173,1),(174,1),(182,1)}
       146:{1,2,3,6}:{(113,1),(115,1),(121,1),(175,1),(176,1)}
       147:{2,3,7}:{(112,1),(113,1)}
       148:{2,3,4,6}:{(113,1),(116,1),(122,1),(167,1),(176,1),(177,1),(178,1),(217,1)}
       149:{1,3,7}:{(114,1),(115,1)}
       150:{1,3,4,6}:{(115,1),(116,1),(123,1),(126,1),(176,1),(179,1),(180,1),(218,1)}
       151:{3,4,7}:{(116,1),(118,1),(182,1)}
       152:{3,5}:{(116,1),(119,1)}
       153:{1,2,4,6,7}:{(117,1),(118,1),(131,1),(172,1),(181,1),(183,1),(184,1),(185,1),(210,1)}
       154:{1,2,4,5,7}:{(118,1),(119,1),(120,1),(132,1),(173,1),(182,1),(183,1),(184,1),(186,1),(211,1),(216,1),(219,1)}
       155:{1,2,6}:{(120,1),(133,1),(174,1)}
       156:{1,2,4}:{(121,1),(122,1),(123,1)}
       157:{1,3,6,7}:{(124,1),(125,1),(128,1),(185,1),(218,1)}
       158:{1,4,7}:{(125,1),(126,1),(129,1)}
       159:{1,4,5}:{(126,1),(130,1),(180,1)}
       160:{3,5,6,7}:{(127,1),(128,1),(187,1),(188,1),(220,1)}
       161:{3,4,6,7}:{(128,1),(129,1),(131,1),(185,1),(187,1),(188,1),(189,1)}
       162:{3,4,5,7}:{(129,1),(130,1),(132,1),(182,1),(186,1),(188,1),(189,1),(219,1)}
       163:{2,5,7}:{(131,1),(188,1),(190,1)}
       164:{2,4,6}:{(132,1),(133,1),(189,1),(190,1)}
       165:{1,2,6,7}:{(134,1),(135,1),(191,1),(227,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(140,1),(147,1),(191,1),(192,1),(223,1)}
       167:{2,4,6}:{(136,1),(141,1),(192,1),(193,1)}
       168:{1,2,5,6,7}:{(137,1),(138,1),(139,1),(194,1),(197,1),(205,1),(223,1)}
       169:{3,6,7}:{(139,1),(140,1),(204,1)}
       170:{3,4,7}:{(140,1),(141,1),(143,1),(192,1)}
       171:{3,4,5}:{(141,1),(144,1),(152,1),(193,1)}
       172:{1,4,6,7}:{(142,1),(143,1),(195,1),(197,1),(198,1)}
       173:{1,4,5,7}:{(143,1),(144,1),(145,1),(196,1),(197,1),(198,1)}
       174:{1,3,6}:{(145,1),(155,1),(198,1),(204,1)}
       175:{1,2,3,7}:{(146,1),(147,1),(149,1),(199,1)}
       176:{1,2,4,6}:{(146,1),(148,1),(150,1),(156,1),(199,1),(200,1),(227,1)}
       177:{2,3,4,7}:{(147,1),(148,1),(151,1),(192,1),(199,1),(201,1)}
       178:{2,3,5}:{(148,1),(152,1),(193,1),(200,1)}
       179:{1,3,4,7}:{(149,1),(150,1),(151,1),(158,1),(199,1),(202,1)}
       180:{1,3,5}:{(150,1),(152,1),(159,1),(200,1)}
       181:{3,4,6,7}:{(151,1),(153,1),(203,1),(204,1),(228,1)}
       182:{3,5,7}:{(151,1),(152,1),(154,1),(204,1)}
       183:{1,2,5,7}:{(153,1),(163,1),(197,1),(203,1),(205,1),(206,1),(223,1)}
       184:{1,2,4,6}:{(154,1),(155,1),(164,1),(198,1),(204,1),(205,1),(207,1),(224,1),(227,1),(228,1)}
       185:{1,4,6,7}:{(157,1),(158,1),(161,1),(206,1),(207,1)}
       186:{1,4,5,7}:{(158,1),(159,1),(162,1),(202,1),(206,1),(207,1)}
       187:{4,6,7}:{(160,1),(208,1),(228,1)}
       188:{3,5,7}:{(161,1),(163,1),(206,1),(208,1),(209,1)}
       189:{3,4,6}:{(162,1),(164,1),(204,1),(207,1),(209,1),(228,1)}
       190:{2,5,6}:{(163,1),(164,1),(209,1)}
       191:{2,3,6,7}:{(165,1),(166,1),(169,1),(210,1),(217,1)}
       192:{2,4,7}:{(166,1),(167,1),(170,1)}
       193:{2,4,5}:{(167,1),(171,1),(178,1)}
       194:{3,5,6,7}:{(168,1),(169,1),(212,1),(213,1),(220,1)}
       195:{3,4,6,7}:{(169,1),(170,1),(172,1),(210,1),(212,1),(213,1),(214,1)}
       196:{3,4,5,7}:{(170,1),(171,1),(173,1),(182,1),(211,1),(213,1),(214,1),(219,1)}
       197:{1,5,7}:{(172,1),(213,1),(215,1)}
       198:{1,4,6}:{(173,1),(174,1),(214,1),(215,1)}
       199:{1,2,4,7}:{(175,1),(176,1),(177,1),(179,1),(216,1)}
       200:{1,2,5}:{(176,1),(178,1),(180,1)}
       201:{2,3,5,7}:{(177,1),(178,1),(182,1),(211,1),(216,1),(217,1)}
       202:{1,3,5,7}:{(179,1),(180,1),(182,1),(186,1),(216,1),(218,1)}
       203:{3,5,7}:{(181,1),(183,1),(219,1),(220,1)}
       204:{3,6}:{(182,1),(184,1)}
       205:{1,2,5,6}:{(183,1),(184,1),(190,1),(215,1),(220,1),(221,1),(229,1)}
       206:{1,5,7}:{(185,1),(188,1),(221,1)}
       207:{1,4,6}:{(186,1),(189,1),(218,1),(221,1)}
       208:{4,5,7}:{(187,1),(188,1),(222,1)}
       209:{3,5,6}:{(188,1),(189,1),(190,1),(221,1),(222,1)}
       210:{2,4,6,7}:{(191,1),(192,1),(195,1),(223,1),(224,1)}
       211:{2,4,5,7}:{(192,1),(193,1),(196,1),(201,1),(223,1),(224,1)}
       212:{4,6,7}:{(194,1),(225,1),(228,1)}
       213:{3,5,7}:{(195,1),(197,1),(223,1),(225,1),(226,1)}
       214:{3,4,6}:{(196,1),(198,1),(204,1),(224,1),(226,1),(228,1)}
       215:{1,5,6}:{(197,1),(198,1),(226,1)}
       216:{1,2,5,7}:{(199,1),(200,1),(201,1),(202,1),(227,1)}
       217:{2,3,6}:{(201,1),(204,1),(224,1),(227,1)}
       218:{1,3,6}:{(202,1),(204,1),(207,1),(227,1)}
       219:{4,5,7}:{(203,1),(228,1)}
       220:{3,5,6}:{(203,1),(204,1),(205,1),(228,1)}
       221:{1,5,6}:{(206,1),(207,1),(209,1)}
       222:{4,5,6}:{(208,1),(209,1),(228,1)}
       223:{2,5,7}:{(210,1),(213,1),(229,1)}
       224:{2,4,6}:{(211,1),(214,1),(217,1),(229,1)}
       225:{4,5,7}:{(212,1),(213,1),(230,1)}
       226:{3,5,6}:{(213,1),(214,1),(215,1),(229,1),(230,1)}
       227:{1,2,6}:{(216,1),(217,1),(218,1)}
       228:{4,6}:{(219,1),(220,1)}
       229:{2,5,6}:{(223,1),(224,1),(226,1)}
       230:{4,5,6}:{(225,1),(226,1),(228,1)}

1324 :   0:{1,3,4,6,7}:{(1,1),(2,1),(15,1),(19,1),(38,1),(40,1),(47,1),(75,1),(85,1),(111,1),(117,1)}
         1:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(23,1),(24,1),(33,1),(69,1),(103,1),(123,1)}
         2:{1,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(25,1),(32,1),(92,1),(120,1)}
         3:{1,3,5,6,7}:{(7,1),(9,1),(10,1),(31,1),(32,1),(67,1),(101,1)}
         4:{2,3,5,6,7}:{(9,1),(11,1),(22,1),(31,1),(34,1),(65,1),(68,1)}
         5:{2,3,6,7}:{(1,1),(12,1),(40,1),(117,1),(133,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(12,1),(13,1),(49,1),(130,1)}
         7:{1,3,5,6}:{(2,1),(13,1),(15,1),(40,1),(43,1)}
         8:{1,4,5,7}:{(2,1),(15,1),(16,1),(85,1),(107,1)}
         9:{1,2,5,6,7}:{(3,1),(4,1),(13,1),(17,1),(49,1),(51,1),(84,1),(87,1)}
        10:{1,4,6,7}:{(3,1),(15,1),(18,1),(19,1),(85,1),(115,1)}
        11:{2,4,6,7}:{(4,1),(20,1),(21,1),(37,1),(83,1),(86,1)}
        12:{2,3,5,7}:{(5,1),(6,1),(22,1),(23,1),(25,1),(136,1)}
        13:{1,2,5,6}:{(6,1),(7,1),(22,1),(24,1),(62,1),(92,1)}
        14:{1,2,4,5,7}:{(6,1),(8,1),(23,1),(24,1),(25,1),(28,1),(54,1),(56,1),(61,1),(92,1),(103,1),(121,1)}
        15:{1,4,6}:{(7,1),(8,1),(27,1)}
        16:{3,4,5,7}:{(8,1),(25,1),(27,1),(28,1),(32,1),(66,1),(91,1)}
        17:{1,2,4,6,7}:{(9,1),(10,1),(11,1),(24,1),(30,1),(31,1),(33,1),(35,1),(69,1),(100,1),(103,1)}
        18:{1,4,5,7}:{(10,1),(26,1),(32,1),(127,1)}
        19:{3,4,6,7}:{(10,1),(27,1),(31,1),(32,1),(33,1),(66,1),(126,1)}
        20:{2,4,5,7}:{(11,1),(29,1),(34,1),(54,1)}
        21:{3,4,6,7}:{(11,1),(31,1),(34,1),(35,1),(55,1),(63,1),(66,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(37,1),(40,1),(74,1)}
        23:{2,4,7}:{(12,1),(37,1),(38,1),(139,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(15,1),(37,1),(40,1),(44,1),(75,1),(81,1)}
        25:{3,5,7}:{(14,1),(38,1),(40,1),(74,1),(117,1),(131,1)}
        26:{1,4,5,6}:{(15,1),(18,1),(43,1)}
        27:{3,4,6}:{(15,1),(16,1),(40,1),(43,1),(44,1)}
        28:{2,4,5,7}:{(16,1),(42,1),(44,1),(49,1),(86,1),(108,1)}
        29:{2,4,5,6}:{(20,1),(45,1),(83,1)}
        30:{1,2,4,5,7}:{(17,1),(18,1),(20,1),(39,1),(46,1),(49,1),(51,1),(85,1),(86,1),(87,1)}
        31:{3,6,7}:{(17,1),(40,1),(46,1),(114,1),(117,1)}
        32:{3,5,7}:{(18,1),(19,1),(43,1),(49,1),(135,1)}
        33:{2,4,6,7}:{(19,1),(44,1),(48,1),(49,1),(86,1),(134,1)}
        34:{3,5,7}:{(20,1),(21,1),(45,1),(51,1),(74,1)}
        35:{1,4,6,7}:{(21,1),(47,1),(51,1),(75,1),(82,1),(85,1)}
        36:{2,3,4,6,7}:{(21,1),(48,1),(52,1),(53,1),(76,1),(83,1),(86,1),(114,1),(117,1),(119,1),(134,1)}
        37:{2,4,6}:{(22,1),(23,1),(54,1),(55,1)}
        38:{3,4,7}:{(23,1),(25,1),(55,1),(56,1),(137,1)}
        39:{1,2,4,5,6}:{(24,1),(26,1),(29,1),(30,1),(54,1),(58,1),(62,1),(64,1),(92,1),(96,1),(97,1),(98,1),(100,1),(121,1),(127,1),(138,1)}
        40:{3,6}:{(24,1),(25,1)}
        41:{1,3,5,7}:{(25,1),(56,1),(59,1),(61,1),(92,1),(95,1),(122,1)}
        42:{2,3,5,7}:{(25,1),(28,1),(57,1),(60,1),(61,1),(93,1)}
        43:{3,5,6}:{(26,1),(27,1),(32,1),(62,1)}
        44:{2,4,6}:{(27,1),(28,1),(60,1),(62,1)}
        45:{3,5,6}:{(29,1),(34,1),(63,1),(64,1)}
        46:{3,5,7}:{(30,1),(31,1),(58,1),(66,1)}
        47:{1,3,6,7}:{(31,1),(35,1),(59,1),(67,1),(69,1),(99,1)}
        48:{2,3,6,7}:{(31,1),(33,1),(60,1),(68,1),(69,1),(125,1)}
        49:{2,5,7}:{(32,1),(33,1),(62,1),(138,1)}
        50:{3,4,5,7}:{(34,1),(63,1),(66,1),(70,1),(71,1),(91,1),(105,1)}
        51:{1,5,7}:{(34,1),(35,1),(64,1),(92,1)}
        52:{2,3,5,7}:{(34,1),(36,1),(65,1),(71,1),(72,1),(93,1),(105,1),(138,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(69,1),(72,1),(73,1),(94,1),(100,1),(103,1),(106,1)}
        54:{2,4,5}:{(37,1),(74,1)}
        55:{3,4,6}:{(37,1),(38,1),(40,1),(74,1),(75,1)}
        56:{1,4,7}:{(38,1),(41,1),(75,1),(132,1)}
        57:{2,3,4,7}:{(38,1),(42,1),(76,1),(77,1),(86,1),(117,1)}
        58:{3,5,6}:{(39,1),(40,1),(46,1),(74,1),(78,1),(114,1),(131,1),(135,1)}
        59:{1,3,6}:{(40,1),(41,1),(75,1),(81,1)}
        60:{2,3,6}:{(40,1),(42,1),(44,1),(81,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(77,1),(81,1),(109,1)}
        62:{2,5,6}:{(43,1),(44,1),(49,1)}
        63:{3,4,6}:{(45,1),(50,1),(82,1),(83,1),(114,1)}
        64:{1,5,6}:{(45,1),(51,1),(82,1)}
        65:{2,3,5,6}:{(45,1),(52,1),(83,1),(84,1),(114,1)}
        66:{3,4,7}:{(46,1),(78,1),(85,1),(86,1),(117,1)}
        67:{1,3,5,7}:{(46,1),(47,1),(51,1),(79,1),(85,1),(87,1),(117,1)}
        68:{2,3,5,7}:{(46,1),(48,1),(49,1),(80,1),(86,1),(87,1),(117,1)}
        69:{1,2,6,7}:{(47,1),(48,1),(81,1),(87,1),(113,1)}
        70:{1,4,5,7}:{(50,1),(51,1),(82,1),(85,1),(88,1),(107,1)}
        71:{2,4,5,7}:{(50,1),(52,1),(83,1),(86,1),(108,1)}
        72:{1,2,5,7}:{(51,1),(52,1),(53,1),(84,1),(90,1),(109,1)}
        73:{1,3,6,7}:{(53,1),(90,1),(110,1),(114,1),(117,1)}
        74:{3,5}:{(54,1),(55,1),(92,1)}
        75:{1,4,6}:{(55,1),(56,1),(59,1),(92,1)}
        76:{2,3,4,6}:{(55,1),(57,1),(60,1),(93,1),(94,1),(97,1),(124,1),(137,1)}
        77:{1,2,4,7}:{(56,1),(57,1),(61,1),(94,1),(95,1)}
        78:{3,4,6}:{(58,1),(66,1),(91,1),(96,1),(97,1),(124,1),(137,1)}
        79:{1,3,5,6}:{(58,1),(59,1),(64,1),(67,1),(92,1),(96,1),(98,1),(99,1),(120,1),(122,1),(124,1)}
        80:{2,3,5,6}:{(58,1),(60,1),(62,1),(68,1),(93,1),(97,1),(98,1),(124,1),(125,1),(136,1),(138,1)}
        81:{1,2,6}:{(59,1),(60,1),(61,1)}
        82:{1,4,6}:{(63,1),(64,1),(70,1),(99,1)}
        83:{2,4,6}:{(63,1),(65,1),(71,1)}
        84:{1,2,5,6}:{(64,1),(65,1),(72,1),(100,1),(101,1),(138,1)}
        85:{1,4,7}:{(66,1),(67,1),(96,1)}
        86:{2,4,7}:{(66,1),(68,1),(97,1)}
        87:{1,2,5,7}:{(67,1),(68,1),(69,1),(98,1),(103,1)}
        88:{1,3,5,7}:{(70,1),(99,1),(102,1),(104,1),(105,1),(120,1)}
        89:{1,2,4,5,7}:{(70,1),(71,1),(72,1),(100,1),(103,1),(104,1),(105,1),(106,1),(121,1),(127,1),(129,1),(138,1)}
        90:{1,3,5,7}:{(72,1),(73,1),(101,1),(105,1),(106,1),(122,1)}
        91:{3,4,5}:{(74,1),(78,1),(107,1),(108,1),(131,1),(135,1)}
        92:{1,5}:{(74,1),(75,1)}
        93:{2,3,5}:{(74,1),(76,1),(108,1),(109,1),(131,1)}
        94:{1,2,4,6}:{(75,1),(76,1),(77,1),(81,1),(109,1),(110,1),(132,1)}
        95:{1,3,7}:{(77,1),(110,1),(117,1)}
        96:{1,4,6}:{(78,1),(79,1),(85,1),(107,1),(132,1)}
        97:{2,4,6}:{(78,1),(80,1),(86,1),(108,1),(139,1)}
        98:{1,2,5,6}:{(79,1),(80,1),(81,1),(87,1),(109,1),(112,1),(113,1),(130,1)}
        99:{1,3,6}:{(82,1),(88,1),(113,1),(114,1)}
       100:{1,2,4,6}:{(82,1),(83,1),(84,1),(89,1),(113,1),(114,1),(115,1),(134,1)}
       101:{1,3,5,6}:{(84,1),(90,1),(114,1),(115,1),(135,1)}
       102:{1,3,4,7}:{(85,1),(88,1),(111,1),(116,1),(117,1),(119,1)}
       103:{1,2,4,7}:{(85,1),(86,1),(87,1),(112,1),(117,1)}
       104:{1,2,5,7}:{(88,1),(113,1),(116,1),(118,1),(130,1)}
       105:{3,5,7}:{(89,1),(114,1),(117,1),(119,1),(131,1),(135,1)}
       106:{1,4,7}:{(90,1),(115,1),(119,1),(132,1)}
       107:{1,4,5}:{(91,1),(92,1),(96,1),(120,1)}
       108:{2,4,5}:{(91,1),(93,1),(97,1),(138,1)}
       109:{1,2,5}:{(92,1),(93,1),(94,1),(122,1)}
       110:{1,3,6}:{(94,1),(95,1),(122,1),(124,1)}
       111:{1,3,4,6}:{(96,1),(99,1),(102,1),(120,1),(123,1),(124,1),(126,1),(137,1)}
       112:{1,2,4,6}:{(96,1),(97,1),(98,1),(103,1),(121,1),(124,1)}
       113:{1,2,6}:{(99,1),(104,1),(125,1)}
       114:{3,6}:{(100,1),(105,1)}
       115:{1,4,6}:{(101,1),(106,1),(126,1),(127,1)}
       116:{1,2,4,7}:{(102,1),(104,1),(123,1),(128,1),(129,1)}
       117:{3,7}:{(103,1),(124,1)}
       118:{2,3,5,7}:{(104,1),(105,1),(125,1),(128,1),(129,1),(136,1),(138,1)}
       119:{3,4,7}:{(105,1),(106,1),(126,1),(129,1),(137,1)}
       120:{1,3,5}:{(107,1),(111,1),(130,1),(131,1),(135,1)}
       121:{1,2,4,5}:{(107,1),(108,1),(109,1),(112,1),(130,1),(131,1),(132,1),(139,1)}
       122:{1,3,5}:{(109,1),(110,1),(131,1),(132,1)}
       123:{1,2,4,6}:{(111,1),(113,1),(116,1),(130,1),(133,1),(134,1),(139,1)}
       124:{3,6}:{(112,1),(117,1),(131,1)}
       125:{2,3,6}:{(113,1),(114,1),(118,1),(134,1)}
       126:{3,4,6}:{(114,1),(115,1),(119,1),(134,1),(135,1)}
       127:{1,4,5}:{(115,1),(135,1)}
       128:{2,3,7}:{(116,1),(117,1),(133,1)}
       129:{2,4,7}:{(118,1),(119,1),(134,1),(139,1)}
       130:{1,2,5}:{(120,1),(123,1),(136,1),(138,1)}
       131:{3,5}:{(121,1),(124,1),(137,1)}
       132:{1,4}:{(122,1),(137,1)}
       133:{2,3,6}:{(123,1),(124,1),(128,1),(136,1)}
       134:{2,4,6}:{(125,1),(126,1),(129,1),(138,1)}
       135:{3,5}:{(126,1),(127,1),(138,1)}
       136:{2,3,5}:{(130,1),(131,1),(133,1),(139,1)}
       137:{3,4}:{(131,1),(132,1),(139,1)}
       138:{2,5}:{(134,1),(135,1)}
       139:{2,4}:{(136,1),(137,1)}

1325 :   0:{1,4,5,6,7}:{(1,1),(6,1),(183,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(4,1),(196,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(26,1),(181,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(21,1),(26,1),(144,1)}
         4:{2,5,6,7}:{(1,1),(7,1),(204,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(11,1),(12,1),(36,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(11,1),(165,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(12,1),(14,1),(194,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(15,1),(16,1),(34,1),(73,1),(119,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(44,1),(173,1),(181,1)}
        10:{1,3,4,5,7}:{(19,1),(20,1),(21,1),(51,1),(81,1),(84,1),(91,1),(131,1),(139,1),(143,1)}
        11:{1,4,5,7}:{(5,1),(6,1),(17,1),(21,1)}
        12:{2,4,5,7}:{(5,1),(7,1),(18,1),(22,1)}
        13:{1,3,4,6,7}:{(6,1),(19,1),(21,1),(24,1),(26,1),(51,1),(54,1)}
        14:{2,3,6,7}:{(7,1),(22,1),(25,1),(26,1),(179,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(23,1),(25,1),(26,1),(27,1),(54,1),(140,1)}
        16:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(49,1),(55,1),(95,1)}
        17:{1,4,5,6}:{(9,1),(11,1),(28,1),(155,1),(165,1)}
        18:{2,4,5,6}:{(9,1),(12,1),(29,1),(188,1),(194,1)}
        19:{1,3,4,6}:{(10,1),(28,1),(31,1),(61,1),(116,1),(163,1),(165,1)}
        20:{1,2,4,5,7}:{(10,1),(31,1),(32,1),(34,1),(64,1),(68,1),(102,1),(106,1)}
        21:{1,3,5,7}:{(11,1),(13,1),(28,1),(34,1),(36,1),(73,1)}
        22:{2,3,5,7}:{(12,1),(14,1),(29,1),(33,1),(35,1),(36,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(15,1),(30,1),(34,1),(35,1),(36,1),(40,1),(68,1),(69,1),(73,1)}
        24:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(37,1),(68,1)}
        25:{1,2,6,7}:{(14,1),(35,1),(38,1),(160,1)}
        26:{3,6,7}:{(15,1),(36,1),(163,1)}
        27:{2,4,6,7}:{(16,1),(39,1),(40,1),(68,1),(115,1)}
        28:{1,3,5,6}:{(17,1),(19,1),(21,1),(42,1),(44,1),(96,1),(131,1)}
        29:{2,3,5,6}:{(18,1),(22,1),(41,1),(43,1),(44,1),(170,1),(179,1)}
        30:{1,2,4,5,6}:{(17,1),(18,1),(23,1),(42,1),(43,1),(44,1),(56,1),(79,1),(80,1),(96,1),(127,1),(140,1)}
        31:{1,2,4,6}:{(19,1),(20,1),(42,1),(45,1),(79,1)}
        32:{2,3,5,7}:{(20,1),(45,1),(47,1),(83,1),(139,1)}
        33:{2,3,4,7}:{(22,1),(41,1),(48,1),(51,1)}
        34:{1,2,5,7}:{(21,1),(24,1),(42,1),(49,1)}
        35:{1,2,5,7}:{(22,1),(25,1),(43,1),(48,1),(50,1)}
        36:{3,5,7}:{(23,1),(26,1),(44,1),(51,1)}
        37:{2,3,6,7}:{(24,1),(26,1),(45,1),(49,1)}
        38:{1,3,6,7}:{(25,1),(26,1),(50,1),(54,1),(138,1)}
        39:{3,4,6,7}:{(26,1),(27,1),(51,1),(54,1),(55,1),(92,1)}
        40:{2,4,5,7}:{(27,1),(55,1),(56,1)}
        41:{2,3,4,6}:{(29,1),(33,1),(57,1),(58,1),(61,1)}
        42:{1,2,5,6}:{(28,1),(31,1),(34,1),(59,1),(106,1)}
        43:{1,2,5,6}:{(29,1),(35,1),(58,1),(60,1),(149,1),(160,1)}
        44:{3,5,6}:{(30,1),(36,1),(61,1),(151,1),(163,1)}
        45:{2,3,6}:{(31,1),(32,1),(163,1)}
        46:{1,2,3,5,7}:{(32,1),(62,1),(64,1),(106,1),(108,1)}
        47:{2,3,4,7}:{(32,1),(63,1),(64,1),(68,1),(113,1)}
        48:{1,2,4,7}:{(33,1),(35,1),(58,1),(66,1),(69,1)}
        49:{2,3,5,7}:{(34,1),(36,1),(37,1),(59,1),(68,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(38,1),(60,1),(66,1),(69,1),(73,1)}
        51:{3,4,7}:{(36,1),(61,1),(68,1),(69,1)}
        52:{1,2,3,6,7}:{(37,1),(38,1),(62,1),(67,1),(71,1),(158,1),(160,1),(163,1),(195,1)}
        53:{2,3,4,6,7}:{(37,1),(39,1),(63,1),(68,1),(71,1),(72,1),(113,1),(115,1),(163,1)}
        54:{1,4,6,7}:{(38,1),(39,1),(69,1),(73,1),(116,1)}
        55:{3,5,7}:{(39,1),(40,1),(73,1),(74,1)}
        56:{2,4,5,6}:{(40,1),(74,1),(115,1)}
        57:{2,3,4,5}:{(41,1),(76,1),(81,1),(167,1),(170,1)}
        58:{1,2,4,6}:{(41,1),(43,1),(48,1),(76,1),(77,1),(80,1)}
        59:{2,3,5,6}:{(42,1),(44,1),(45,1),(49,1),(79,1),(83,1)}
        60:{1,3,5,6}:{(43,1),(44,1),(50,1),(77,1),(80,1),(96,1),(125,1),(138,1)}
        61:{3,4,6}:{(44,1),(51,1),(79,1),(80,1),(81,1)}
        62:{1,2,3,6}:{(45,1),(46,1),(82,1),(134,1)}
        63:{2,3,4,6}:{(45,1),(47,1),(79,1),(82,1),(83,1),(126,1)}
        64:{1,2,4,7}:{(46,1),(47,1),(82,1),(84,1)}
        65:{2,3,4,5,7}:{(47,1),(83,1),(85,1),(86,1),(90,1),(133,1),(139,1),(173,1),(178,1),(203,1)}
        66:{1,3,7}:{(48,1),(77,1)}
        67:{1,2,3,5,7}:{(49,1),(50,1),(52,1),(78,1),(87,1),(89,1),(94,1),(137,1),(139,1),(177,1),(202,1)}
        68:{2,4,7}:{(49,1),(51,1),(79,1)}
        69:{1,4,7}:{(50,1),(51,1),(80,1)}
        70:{3,4,5,7}:{(51,1),(55,1),(81,1),(90,1),(91,1),(92,1),(139,1)}
        71:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(82,1),(89,1),(93,1),(94,1),(140,1),(205,1)}
        72:{2,3,5,7}:{(53,1),(55,1),(83,1),(90,1),(94,1),(95,1),(139,1)}
        73:{1,5,7}:{(54,1),(55,1),(96,1)}
        74:{3,5,6}:{(55,1),(56,1),(92,1),(96,1)}
        75:{2,4,5,6,7}:{(56,1),(97,1),(141,1)}
        76:{1,2,4,5}:{(57,1),(58,1),(98,1),(103,1),(146,1),(149,1)}
        77:{1,3,6}:{(58,1),(66,1),(98,1)}
        78:{1,2,3,5,6}:{(59,1),(60,1),(62,1),(67,1),(99,1),(101,1),(106,1),(119,1),(149,1),(151,1),(156,1),(160,1),(163,1),(189,1)}
        79:{2,4,6}:{(59,1),(61,1),(68,1),(102,1)}
        80:{1,4,6}:{(60,1),(61,1),(69,1),(103,1)}
        81:{3,4,5}:{(61,1),(102,1),(103,1),(151,1)}
        82:{1,2,4,6}:{(62,1),(63,1),(64,1),(105,1),(106,1)}
        83:{2,3,5}:{(63,1),(102,1),(106,1),(151,1)}
        84:{1,3,4,7}:{(64,1),(105,1),(108,1),(113,1),(193,1)}
        85:{1,2,4,5,7}:{(64,1),(65,1),(106,1),(108,1),(109,1),(155,1),(157,1),(193,1)}
        86:{2,3,4,6}:{(65,1),(107,1),(109,1),(115,1),(163,1),(191,1),(194,1)}
        87:{1,2,3,7}:{(66,1),(99,1),(111,1),(207,1)}
        88:{1,3,4,7}:{(66,1),(69,1),(100,1),(111,1),(112,1),(113,1)}
        89:{1,2,4,7}:{(67,1),(68,1),(69,1),(101,1),(113,1),(193,1),(208,1)}
        90:{2,4,5,7}:{(68,1),(70,1),(72,1),(102,1),(115,1)}
        91:{1,4,5,7}:{(69,1),(70,1),(73,1),(103,1),(112,1),(116,1)}
        92:{3,4,6}:{(70,1),(74,1),(115,1),(116,1),(163,1)}
        93:{1,3,4,6,7}:{(71,1),(105,1),(113,1),(118,1),(158,1),(163,1),(165,1),(193,1),(197,1)}
        94:{1,2,5,7}:{(71,1),(72,1),(73,1),(106,1),(118,1),(119,1),(209,1)}
        95:{2,3,5,6}:{(72,1),(74,1),(115,1),(119,1),(163,1)}
        96:{1,5,6}:{(73,1),(74,1),(116,1)}
        97:{3,5,6,7}:{(74,1),(75,1),(117,1),(121,1)}
        98:{1,3,5}:{(76,1),(77,1),(123,1)}
        99:{1,2,3,6}:{(77,1),(87,1),(122,1),(124,1),(199,1)}
       100:{1,3,4,6}:{(77,1),(80,1),(88,1),(123,1),(124,1),(125,1),(126,1),(138,1)}
       101:{1,2,4,6}:{(78,1),(79,1),(80,1),(89,1),(126,1),(127,1),(176,1),(201,1)}
       102:{2,4,5}:{(79,1),(81,1),(83,1)}
       103:{1,4,5}:{(80,1),(81,1),(125,1)}
       104:{3,4,5,6}:{(81,1),(92,1),(128,1),(129,1),(130,1),(174,1)}
       105:{1,3,4,6}:{(82,1),(84,1),(126,1),(131,1),(134,1),(176,1)}
       106:{1,2,5}:{(82,1),(83,1),(131,1)}
       107:{2,3,5,6}:{(83,1),(86,1),(128,1),(132,1),(133,1),(174,1),(204,1)}
       108:{1,3,5,7}:{(84,1),(85,1),(131,1),(134,1),(139,1)}
       109:{1,2,4,6}:{(85,1),(86,1),(132,1),(134,1),(176,1)}
       110:{2,3,4,6,7}:{(86,1),(133,1),(135,1),(141,1),(182,1),(203,1),(205,1)}
       111:{1,2,4,7}:{(87,1),(88,1),(124,1),(136,1),(137,1)}
       112:{1,3,5,7}:{(88,1),(91,1),(125,1),(137,1),(138,1),(139,1)}
       113:{3,4,7}:{(89,1),(126,1),(139,1)}
       114:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(127,1),(137,1),(139,1),(140,1),(143,1),(178,1)}
       115:{2,4,6}:{(90,1),(92,1),(95,1)}
       116:{1,4,6}:{(91,1),(92,1),(96,1),(138,1)}
       117:{3,4,6,7}:{(92,1),(97,1),(130,1),(141,1),(142,1),(182,1)}
       118:{1,3,5,7}:{(93,1),(94,1),(131,1),(139,1),(143,1),(144,1),(206,1)}
       119:{1,2,5,6}:{(94,1),(95,1),(96,1),(140,1),(144,1),(204,1)}
       120:{2,3,5,6,7}:{(95,1),(97,1),(133,1),(141,1),(145,1),(182,1)}
       121:{1,5,6,7}:{(96,1),(97,1),(142,1)}
       122:{1,2,3,5}:{(98,1),(99,1),(146,1),(149,1),(185,1)}
       123:{1,3,4}:{(98,1),(146,1)}
       124:{1,2,4,6}:{(99,1),(100,1),(111,1),(146,1),(148,1),(149,1),(160,1)}
       125:{1,3,5}:{(100,1),(103,1),(149,1),(151,1)}
       126:{3,4,6}:{(101,1),(113,1),(151,1),(163,1)}
       127:{1,2,4,5}:{(101,1),(102,1),(103,1),(106,1),(149,1),(151,1),(155,1),(188,1)}
       128:{2,4,5,6}:{(102,1),(104,1),(107,1),(115,1),(153,1)}
       129:{1,4,5,6}:{(103,1),(104,1),(116,1),(150,1),(154,1)}
       130:{3,4,5,7}:{(104,1),(117,1),(153,1),(154,1),(192,1)}
       131:{1,3,5}:{(105,1),(106,1),(151,1),(155,1)}
       132:{1,2,5,6}:{(106,1),(107,1),(109,1),(156,1),(157,1)}
       133:{2,3,5,7}:{(107,1),(110,1),(153,1),(157,1),(192,1),(209,1)}
       134:{1,3,6}:{(108,1),(109,1),(163,1)}
       135:{1,2,4,6,7}:{(109,1),(110,1),(157,1),(158,1),(193,1)}
       136:{2,3,4,7}:{(111,1),(113,1),(148,1),(159,1),(207,1),(208,1)}
       137:{1,2,5,7}:{(111,1),(112,1),(149,1),(159,1),(160,1)}
       138:{1,3,6}:{(112,1),(116,1),(160,1),(163,1)}
       139:{3,5,7}:{(113,1),(114,1),(151,1),(163,1)}
       140:{1,2,4,6}:{(114,1),(115,1),(116,1),(119,1),(160,1),(163,1),(165,1),(194,1)}
       141:{2,4,6,7}:{(115,1),(117,1),(120,1),(153,1)}
       142:{1,4,6,7}:{(116,1),(117,1),(121,1),(154,1),(161,1)}
       143:{1,4,5,7}:{(118,1),(155,1),(162,1),(165,1),(193,1)}
       144:{1,3,5,6}:{(118,1),(119,1),(163,1),(165,1),(196,1)}
       145:{1,2,5,6,7}:{(119,1),(120,1),(121,1),(157,1),(164,1),(166,1),(209,1)}
       146:{1,2,4}:{(122,1),(123,1),(167,1)}
       147:{1,3,4,5}:{(123,1),(125,1),(168,1),(169,1),(173,1)}
       148:{2,3,4,6}:{(124,1),(126,1),(136,1),(167,1),(170,1),(179,1),(199,1),(201,1)}
       149:{1,2,5}:{(124,1),(125,1),(170,1)}
       150:{1,3,5,6}:{(125,1),(129,1),(138,1),(169,1),(171,1),(172,1),(174,1)}
       151:{3,5}:{(126,1),(127,1)}
       152:{1,2,4,5,6}:{(127,1),(128,1),(129,1),(132,1),(140,1),(171,1),(174,1),(175,1),(176,1),(183,1),(201,1),(204,1)}
       153:{2,4,5,7}:{(128,1),(130,1),(133,1),(141,1)}
       154:{1,4,5,7}:{(129,1),(130,1),(142,1),(172,1)}
       155:{1,4,5}:{(131,1),(173,1),(176,1)}
       156:{1,3,5,6}:{(131,1),(132,1),(134,1),(174,1),(176,1),(177,1)}
       157:{1,2,5,7}:{(132,1),(133,1),(135,1),(177,1)}
       158:{1,3,6,7}:{(134,1),(135,1),(177,1),(182,1)}
       159:{2,3,5,7}:{(136,1),(137,1),(139,1),(170,1),(178,1),(179,1)}
       160:{1,2,6}:{(137,1),(138,1),(179,1)}
       161:{1,3,6,7}:{(138,1),(142,1),(172,1),(180,1),(182,1)}
       162:{3,4,5,7}:{(139,1),(143,1),(173,1),(178,1),(181,1),(203,1),(206,1)}
       163:{3,6}:{(139,1),(140,1)}
       164:{1,2,4,6,7}:{(140,1),(141,1),(142,1),(145,1),(175,1),(180,1),(182,1),(184,1),(205,1)}
       165:{1,4,6}:{(143,1),(144,1),(181,1)}
       166:{1,3,5,6,7}:{(144,1),(145,1),(177,1),(182,1),(184,1),(206,1)}
       167:{2,3,4}:{(146,1),(185,1)}
       168:{1,2,4,5}:{(146,1),(147,1),(149,1),(185,1),(186,1),(188,1)}
       169:{1,3,4,6}:{(147,1),(150,1),(186,1),(187,1),(191,1)}
       170:{2,3,5}:{(148,1),(149,1),(151,1),(188,1)}
       171:{1,2,5,6}:{(149,1),(150,1),(160,1),(186,1),(189,1),(190,1)}
       172:{1,3,5,7}:{(150,1),(154,1),(161,1),(187,1),(190,1),(192,1)}
       173:{3,4,5}:{(151,1),(155,1),(188,1),(191,1)}
       174:{3,5,6}:{(151,1),(152,1),(163,1),(191,1),(192,1)}
       175:{1,2,4,5,7}:{(152,1),(153,1),(154,1),(157,1),(164,1),(190,1),(192,1),(193,1),(198,1),(208,1),(209,1)}
       176:{1,4,6}:{(155,1),(156,1),(191,1),(193,1)}
       177:{1,3,5,7}:{(156,1),(157,1),(158,1),(192,1),(193,1)}
       178:{2,4,5,7}:{(159,1),(162,1),(188,1),(194,1),(208,1),(209,1)}
       179:{2,3,6}:{(159,1),(160,1),(163,1),(194,1)}
       180:{1,2,6,7}:{(160,1),(161,1),(190,1),(195,1)}
       181:{3,4,6}:{(162,1),(163,1),(165,1),(194,1),(196,1)}
       182:{3,6,7}:{(163,1),(164,1),(192,1)}
       183:{1,4,5,6}:{(165,1),(196,1),(198,1)}
       184:{1,4,6,7}:{(165,1),(166,1),(193,1),(197,1),(198,1)}
       185:{2,3,5}:{(167,1),(168,1),(199,1)}
       186:{1,2,4,6}:{(168,1),(169,1),(171,1),(199,1),(200,1),(201,1)}
       187:{1,3,4,7}:{(169,1),(172,1),(200,1),(203,1)}
       188:{2,4,5}:{(170,1),(173,1),(201,1)}
       189:{2,3,5,6}:{(170,1),(171,1),(174,1),(179,1),(199,1),(201,1),(202,1),(204,1)}
       190:{1,2,5,7}:{(171,1),(172,1),(180,1),(200,1),(202,1)}
       191:{3,4,6}:{(173,1),(174,1),(176,1),(201,1),(203,1)}
       192:{3,5,7}:{(174,1),(175,1),(182,1),(203,1)}
       193:{1,4,7}:{(176,1),(177,1),(203,1)}
       194:{2,4,6}:{(178,1),(179,1),(181,1),(204,1)}
       195:{2,3,6,7}:{(179,1),(180,1),(182,1),(202,1),(205,1)}
       196:{3,5,6}:{(181,1),(183,1),(204,1),(206,1)}
       197:{3,4,6,7}:{(181,1),(182,1),(184,1),(203,1),(205,1),(206,1)}
       198:{1,4,5,7}:{(183,1),(184,1),(206,1)}
       199:{2,3,6}:{(185,1),(186,1),(207,1)}
       200:{1,2,4,7}:{(186,1),(187,1),(190,1),(207,1),(208,1)}
       201:{2,4,6}:{(188,1),(189,1),(191,1),(208,1)}
       202:{2,3,5,7}:{(189,1),(190,1),(192,1),(195,1),(207,1),(208,1),(209,1)}
       203:{3,4,7}:{(191,1),(192,1),(193,1),(208,1)}
       204:{2,5,6}:{(194,1),(196,1),(209,1)}
       205:{2,4,6,7}:{(194,1),(195,1),(197,1),(208,1),(209,1)}
       206:{3,5,7}:{(196,1),(197,1),(198,1),(209,1)}
       207:{2,3,7}:{(199,1),(200,1)}
       208:{2,4,7}:{(201,1),(202,1),(203,1)}
       209:{2,5,7}:{(204,1),(205,1),(206,1)}

1326 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(57,1),(63,1)}
         1:{1,2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(49,1),(52,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(28,1),(48,1),(53,1)}
         3:{1,3,5,6}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(40,1),(43,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(44,1)}
         6:{1,2,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(47,1),(49,1)}
         7:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,2,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(34,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(35,1),(48,1)}
        11:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
        12:{1,2,3,5,7}:{(6,1),(8,1),(20,1),(21,1),(37,1),(40,1)}
        13:{1,3,4,5}:{(7,1),(19,1)}
        14:{1,3,4,7}:{(7,1),(8,1),(20,1)}
        15:{1,3,6,7}:{(8,1),(9,1)}
        16:{1,2,5,6,7}:{(9,1),(10,1),(24,1),(40,1)}
        17:{2,4,5,6,7}:{(10,1),(26,1),(58,1)}
        18:{2,3,4,6}:{(11,1),(27,1),(28,1),(47,1)}
        19:{1,2,4,5}:{(11,1),(13,1),(27,1)}
        20:{1,2,4,7}:{(11,1),(12,1),(14,1),(28,1)}
        21:{1,2,3,6,7}:{(12,1),(15,1),(30,1),(47,1)}
        22:{1,3,4,5,7}:{(13,1),(14,1),(29,1),(32,1),(33,1),(68,1)}
        23:{1,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1),(51,1)}
        24:{1,3,5,6,7}:{(15,1),(16,1),(33,1),(34,1),(35,1)}
        25:{1,2,4,5,6,7}:{(16,1),(17,1),(34,1),(35,1),(36,1),(50,1),(55,1),(56,1)}
        26:{3,4,5,6,7}:{(17,1),(35,1),(36,1),(68,1)}
        27:{2,3,5}:{(18,1),(19,1)}
        28:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(39,1),(40,1),(58,1)}
        30:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(39,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(24,1),(40,1),(41,1),(46,1),(57,1),(60,1),(80,1),(82,1),(83,1)}
        32:{1,3,4,6}:{(22,1),(39,1),(42,1),(77,1)}
        33:{1,3,5,7}:{(23,1),(40,1),(42,1),(43,1),(60,1)}
        34:{1,4,6,7}:{(24,1),(43,1),(44,1)}
        35:{3,5,6,7}:{(25,1),(44,1),(60,1)}
        36:{1,4,5,6,7}:{(26,1),(45,1),(78,1)}
        37:{2,3,5,7}:{(27,1),(28,1),(29,1),(47,1)}
        38:{2,3,4,6,7}:{(28,1),(30,1),(47,1),(48,1),(51,1),(67,1)}
        39:{1,2,4,6}:{(29,1),(32,1),(47,1),(49,1),(67,1)}
        40:{1,2,5,7}:{(30,1),(33,1),(48,1),(49,1)}
        41:{1,2,4,6,7}:{(31,1),(34,1),(50,1),(51,1),(55,1),(67,1),(86,1)}
        42:{1,3,5,6}:{(32,1),(33,1),(49,1),(52,1),(69,1)}
        43:{1,4,5,7}:{(33,1),(34,1),(52,1),(53,1)}
        44:{3,4,6,7}:{(34,1),(35,1),(53,1),(55,1)}
        45:{1,3,5,6,7}:{(35,1),(36,1),(54,1),(56,1),(70,1)}
        46:{2,3,5,6,7}:{(35,1),(55,1),(56,1),(71,1),(76,1)}
        47:{2,3,6}:{(37,1),(39,1)}
        48:{2,3,5,7}:{(38,1),(40,1),(57,1),(58,1),(60,1)}
        49:{1,2,5,6}:{(39,1),(40,1),(42,1),(57,1)}
        50:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(58,1),(59,1),(60,1),(65,1),(78,1),(82,1)}
        51:{3,4,6,7}:{(41,1),(60,1),(77,1)}
        52:{1,4,5,6}:{(42,1),(43,1),(63,1)}
        53:{3,4,5,7}:{(43,1),(44,1),(60,1),(63,1),(65,1)}
        54:{1,3,4,6,7}:{(44,1),(45,1),(64,1),(66,1)}
        55:{2,4,6,7}:{(44,1),(46,1),(65,1)}
        56:{1,2,5,6,7}:{(45,1),(46,1),(66,1),(82,1)}
        57:{2,3,5,6}:{(47,1),(48,1),(49,1),(67,1),(69,1)}
        58:{2,4,5,7}:{(48,1),(67,1),(68,1)}
        59:{1,2,4,5,6}:{(49,1),(50,1),(52,1),(67,1),(69,1),(74,1),(86,1),(89,1)}
        60:{3,5,7}:{(50,1),(51,1),(69,1)}
        61:{1,3,4,6,7}:{(51,1),(70,1),(72,1),(86,1),(98,1),(99,1)}
        62:{2,3,4,6,7}:{(51,1),(55,1),(71,1),(72,1),(76,1),(87,1),(92,1)}
        63:{3,4,5,6}:{(52,1),(53,1),(69,1),(74,1)}
        64:{1,3,4,5,7}:{(53,1),(54,1),(70,1),(73,1),(75,1),(99,1)}
        65:{2,4,5,7}:{(53,1),(55,1),(71,1),(74,1)}
        66:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(75,1),(76,1)}
        67:{2,4,6}:{(57,1),(58,1),(77,1)}
        68:{3,4,5,7}:{(58,1),(60,1),(77,1),(78,1)}
        69:{3,5,6}:{(59,1),(60,1),(77,1)}
        70:{1,3,5,7}:{(60,1),(61,1),(78,1),(80,1),(82,1)}
        71:{2,3,5,7}:{(60,1),(62,1),(65,1),(81,1),(82,1)}
        72:{1,2,4,6,7}:{(61,1),(62,1),(82,1),(83,1),(93,1),(96,1)}
        73:{1,3,4,5,6}:{(63,1),(64,1),(80,1),(84,1),(102,1)}
        74:{2,4,5,6}:{(63,1),(65,1),(81,1)}
        75:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(82,1),(84,1),(85,1),(96,1)}
        76:{2,3,6,7}:{(66,1),(85,1)}
        77:{3,4,6}:{(67,1),(68,1),(69,1),(86,1)}
        78:{1,4,5,7}:{(68,1),(70,1),(86,1)}
        79:{2,3,4,5,7}:{(68,1),(71,1),(87,1),(88,1),(92,1),(101,1)}
        80:{1,3,5,6}:{(69,1),(70,1),(86,1),(89,1),(98,1)}
        81:{2,3,5,6}:{(69,1),(71,1),(74,1),(87,1),(89,1)}
        82:{1,2,5,7}:{(70,1),(71,1),(72,1),(89,1)}
        83:{1,2,3,6,7}:{(72,1),(76,1),(90,1),(98,1)}
        84:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(89,1),(91,1),(100,1)}
        85:{2,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,4,6}:{(77,1),(78,1),(80,1)}
        87:{2,3,4,6}:{(77,1),(79,1),(81,1),(93,1)}
        88:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(93,1),(94,1),(96,1),(103,1)}
        89:{1,2,5,6}:{(80,1),(81,1),(82,1),(93,1)}
        90:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(94,1),(95,1),(96,1)}
        91:{2,3,5,6}:{(84,1),(85,1),(97,1)}
        92:{2,3,4,7}:{(85,1),(96,1),(97,1)}
        93:{1,2,4,6}:{(86,1),(87,1),(88,1),(89,1),(98,1)}
        94:{1,3,5,7}:{(88,1),(98,1),(99,1),(104,1)}
        95:{1,2,3,5,6}:{(89,1),(90,1),(91,1),(98,1),(100,1),(104,1)}
        96:{1,2,4,7}:{(90,1),(92,1),(99,1),(100,1)}
        97:{2,3,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{1,3,6}:{(93,1),(94,1)}
        99:{1,3,4,7}:{(94,1),(96,1),(102,1)}
       100:{1,2,4,6}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{2,3,4,5}:{(97,1),(103,1)}
       102:{1,3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       103:{1,2,4,5}:{(100,1),(101,1),(104,1)}
       104:{1,3,5}:{(102,1),(103,1)}

1327 :   0:{1,2,4,5,6}:{(2,1),(3,1),(17,1),(18,1),(19,1),(42,1),(51,1),(77,1),(78,1),(81,1),(99,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(62,1),(63,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(24,1),(29,1),(30,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(6,1),(7,1),(69,1),(91,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(12,1),(43,1),(96,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(44,1),(45,1),(46,1),(81,1)}
         6:{3,5,7}:{(2,1),(3,1),(12,1),(13,1)}
         7:{3,4,6}:{(3,1),(13,1),(16,1),(17,1),(18,1),(52,1),(83,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(21,1),(52,1),(53,1),(76,1),(77,1),(94,1),(96,1),(103,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(40,1),(52,1),(56,1),(73,1),(78,1),(84,1),(96,1),(99,1)}
        10:{1,3,4,6}:{(17,1),(20,1),(21,1),(22,1),(52,1),(53,1),(83,1),(98,1)}
        11:{4,6,7}:{(4,1),(24,1),(101,1)}
        12:{3,6,7}:{(5,1),(6,1),(91,1)}
        13:{3,4,7}:{(6,1),(7,1),(29,1),(30,1),(68,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(26,1),(29,1),(31,1),(62,1),(68,1),(90,1)}
        15:{2,3,5,7}:{(6,1),(9,1),(27,1),(30,1),(31,1),(63,1),(68,1),(90,1)}
        16:{3,4,5}:{(7,1),(32,1),(33,1),(69,1),(102,1)}
        17:{1,4,6}:{(7,1),(8,1),(29,1),(32,1),(88,1),(101,1)}
        18:{2,4,6}:{(7,1),(9,1),(30,1),(33,1),(72,1),(101,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(37,1),(59,1),(70,1),(86,1)}
        20:{1,3,4,7}:{(10,1),(29,1),(35,1),(36,1),(68,1),(92,1)}
        21:{1,3,5}:{(10,1),(32,1),(37,1),(69,1),(102,1)}
        22:{1,2,4,6}:{(10,1),(36,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        23:{2,3,4,6}:{(18,1),(39,1),(40,1),(41,1),(52,1),(73,1),(83,1),(98,1)}
        24:{4,5,7}:{(11,1),(42,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(13,1),(43,1),(44,1),(45,1),(47,1),(80,1),(97,1),(98,1)}
        26:{1,3,6,7}:{(12,1),(14,1),(44,1),(46,1),(53,1),(80,1),(94,1)}
        27:{2,3,6,7}:{(12,1),(15,1),(45,1),(46,1),(73,1),(80,1),(84,1)}
        28:{3,4,5,7}:{(13,1),(16,1),(43,1),(47,1),(48,1),(49,1),(82,1),(97,1),(104,1)}
        29:{1,4,7}:{(13,1),(14,1),(17,1),(97,1)}
        30:{2,4,7}:{(13,1),(15,1),(18,1),(97,1)}
        31:{1,2,5,7}:{(14,1),(15,1),(19,1),(46,1),(50,1)}
        32:{1,4,5}:{(16,1),(17,1),(21,1),(103,1),(104,1)}
        33:{2,4,5}:{(16,1),(18,1),(40,1),(99,1),(104,1)}
        34:{1,2,4,6}:{(17,1),(18,1),(19,1),(50,1),(51,1),(52,1)}
        35:{1,3,5,7}:{(20,1),(21,1),(48,1),(53,1),(54,1),(82,1)}
        36:{1,2,4,7}:{(20,1),(22,1),(54,1),(55,1),(85,1)}
        37:{1,2,5}:{(21,1),(22,1),(56,1),(99,1)}
        38:{2,3,6}:{(22,1),(52,1),(55,1),(56,1)}
        39:{2,3,4,7}:{(23,1),(30,1),(57,1),(58,1),(68,1),(92,1)}
        40:{2,3,5}:{(23,1),(33,1),(59,1),(69,1),(102,1)}
        41:{1,2,4,6}:{(23,1),(58,1),(59,1),(60,1),(86,1),(88,1),(100,1)}
        42:{4,5,6}:{(24,1),(61,1),(101,1)}
        43:{3,5,7}:{(24,1),(25,1),(61,1),(62,1),(63,1),(102,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(62,1),(65,1),(100,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(63,1),(66,1),(93,1)}
        46:{1,2,6,7}:{(26,1),(27,1),(31,1),(70,1),(86,1)}
        47:{3,4,6}:{(28,1),(61,1),(65,1),(66,1),(91,1),(101,1)}
        48:{1,4,5,7}:{(28,1),(29,1),(32,1),(35,1),(62,1),(65,1)}
        49:{2,4,5,7}:{(28,1),(30,1),(33,1),(57,1),(63,1),(66,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(68,1)}
        51:{1,2,4,5}:{(32,1),(33,1),(34,1),(37,1),(59,1),(69,1),(72,1),(88,1)}
        52:{3,6}:{(34,1),(68,1),(69,1)}
        53:{1,3,6}:{(35,1),(65,1),(70,1),(91,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(37,1),(70,1),(71,1)}
        55:{2,3,7}:{(36,1),(38,1),(68,1)}
        56:{2,3,5}:{(37,1),(38,1),(69,1),(72,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(49,1),(73,1),(74,1),(82,1)}
        58:{1,2,4,7}:{(39,1),(41,1),(74,1),(75,1),(95,1)}
        59:{1,2,5}:{(40,1),(41,1),(76,1),(103,1)}
        60:{1,3,6}:{(41,1),(52,1),(75,1),(76,1)}
        61:{3,5,6}:{(42,1),(43,1),(47,1),(77,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(77,1),(103,1)}
        63:{2,5,7}:{(43,1),(45,1),(78,1),(99,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(50,1),(79,1),(80,1),(81,1),(97,1)}
        65:{1,4,6}:{(47,1),(48,1),(53,1),(77,1)}
        66:{2,4,6}:{(47,1),(49,1),(73,1),(78,1)}
        67:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(51,1),(54,1),(74,1),(79,1),(81,1),(82,1),(85,1),(95,1),(97,1),(99,1),(103,1),(104,1)}
        68:{3,7}:{(50,1),(52,1)}
        69:{3,5}:{(51,1),(52,1),(83,1)}
        70:{1,2,6}:{(53,1),(54,1),(84,1)}
        71:{2,3,5,7}:{(54,1),(55,1),(56,1),(82,1),(84,1),(85,1),(99,1)}
        72:{2,4}:{(56,1),(83,1)}
        73:{2,3,6}:{(57,1),(66,1),(86,1),(91,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(86,1),(87,1)}
        75:{1,3,7}:{(58,1),(60,1),(68,1)}
        76:{1,3,5}:{(59,1),(60,1),(69,1),(88,1)}
        77:{1,5,6}:{(61,1),(62,1),(65,1)}
        78:{2,5,6}:{(61,1),(63,1),(66,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(89,1),(90,1)}
        80:{3,6,7}:{(64,1),(68,1),(90,1),(91,1)}
        81:{1,2,4,6}:{(65,1),(66,1),(67,1),(70,1),(86,1),(89,1),(91,1),(93,1),(100,1),(101,1)}
        82:{3,5,7}:{(67,1),(68,1),(69,1),(91,1),(92,1),(102,1)}
        83:{3,4}:{(69,1),(72,1),(88,1)}
        84:{2,3,6}:{(70,1),(71,1),(91,1),(93,1)}
        85:{2,4,7}:{(71,1),(72,1),(92,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{1,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(94,1),(95,1),(103,1)}
        88:{1,4}:{(76,1),(83,1)}
        89:{1,2,5,6}:{(77,1),(78,1),(79,1),(81,1),(96,1),(99,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{3,6}:{(81,1),(82,1)}
        92:{3,4,7}:{(82,1),(83,1),(85,1),(95,1),(97,1),(98,1)}
        93:{2,4,6}:{(84,1),(85,1),(98,1),(99,1)}
        94:{1,3,6}:{(86,1),(87,1),(91,1),(100,1)}
        95:{1,4,7}:{(87,1),(88,1),(92,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(91,1),(101,1),(102,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{3,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(102,1)}
        99:{2,5}:{(93,1),(102,1)}
       100:{1,4,6}:{(94,1),(95,1),(98,1),(103,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{3,5}:{(98,1),(99,1),(103,1),(104,1)}
       103:{1,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1328 :   0:{1,3,4,5}:{(1,1),(2,1),(46,1),(109,1),(126,1)}
         1:{1,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(89,1)}
         2:{1,2,4,5}:{(0,1),(6,1),(8,1),(28,1),(84,1),(95,1)}
         3:{2,3,4,5}:{(9,1),(10,1),(19,1),(64,1),(168,1)}
         4:{3,4,5,6}:{(12,1),(13,1),(14,1),(56,1),(168,1),(212,1),(222,1)}
         5:{1,3,5,6}:{(1,1),(12,1),(15,1),(16,1),(56,1),(109,1),(174,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(15,1),(17,1),(18,1),(61,1)}
         7:{1,3,4,7}:{(1,1),(16,1),(18,1),(127,1)}
         8:{2,3,5}:{(2,1),(17,1),(19,1)}
         9:{2,3,4,6}:{(3,1),(21,1),(22,1),(23,1),(136,1)}
        10:{1,2,4,5}:{(3,1),(22,1),(24,1),(28,1),(84,1),(142,1)}
        11:{1,2,3,5}:{(8,1),(24,1),(27,1),(28,1),(84,1)}
        12:{1,4,5,6}:{(4,1),(5,1),(31,1),(142,1),(197,1)}
        13:{2,4,5,6}:{(4,1),(29,1),(32,1),(191,1),(223,1)}
        14:{3,4,5,7}:{(4,1),(31,1),(32,1),(33,1),(90,1),(209,1)}
        15:{1,2,5,6}:{(5,1),(6,1),(34,1),(35,1),(84,1),(156,1)}
        16:{1,3,5,7}:{(5,1),(7,1),(31,1),(35,1),(36,1),(90,1)}
        17:{2,3,6}:{(6,1),(8,1),(38,1)}
        18:{1,2,4,7}:{(6,1),(7,1),(35,1),(38,1),(96,1)}
        19:{2,3,4}:{(8,1),(28,1)}
        20:{3,4,5,6}:{(39,1),(40,1),(41,1),(101,1),(126,1),(187,1),(230,1)}
        21:{2,3,5,6}:{(9,1),(40,1),(42,1),(43,1),(64,1),(101,1),(132,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(42,1),(44,1),(45,1),(106,1)}
        23:{2,3,4,7}:{(9,1),(43,1),(45,1),(169,1)}
        24:{1,3,5}:{(10,1),(44,1),(46,1)}
        25:{2,3,4,5}:{(47,1),(48,1),(117,1),(126,1),(179,1)}
        26:{1,3,4,5}:{(49,1),(50,1),(114,1),(168,1),(177,1)}
        27:{1,2,3,6}:{(11,1),(17,1),(44,1),(52,1),(53,1)}
        28:{1,2,4}:{(11,1),(19,1),(46,1)}
        29:{2,3,5,6}:{(13,1),(47,1),(54,1),(55,1),(56,1),(179,1),(218,1)}
        30:{1,2,4,5,6}:{(12,1),(13,1),(15,1),(54,1),(56,1),(57,1),(61,1),(119,1),(123,1),(183,1),(190,1),(221,1),(222,1)}
        31:{1,4,5,7}:{(12,1),(14,1),(16,1),(58,1)}
        32:{2,4,5,7}:{(13,1),(14,1),(55,1),(59,1)}
        33:{3,4,6,7}:{(14,1),(58,1),(59,1),(60,1),(128,1),(189,1),(212,1)}
        34:{2,3,5,6}:{(15,1),(17,1),(56,1),(61,1),(62,1),(64,1),(132,1),(190,1)}
        35:{1,2,5,7}:{(15,1),(16,1),(18,1),(62,1),(63,1)}
        36:{1,3,6,7}:{(16,1),(58,1),(63,1),(128,1),(174,1)}
        37:{2,3,4,6}:{(17,1),(19,1),(52,1),(61,1),(64,1),(65,1),(118,1),(132,1)}
        38:{2,3,7}:{(17,1),(18,1)}
        39:{1,4,5,6}:{(20,1),(66,1),(68,1),(157,1),(206,1)}
        40:{2,4,5,6}:{(20,1),(21,1),(69,1),(95,1),(163,1)}
        41:{3,4,5,7}:{(20,1),(68,1),(69,1),(70,1),(137,1),(226,1)}
        42:{1,2,5,6}:{(21,1),(22,1),(71,1),(72,1),(84,1),(156,1)}
        43:{2,3,5,7}:{(21,1),(23,1),(69,1),(72,1),(73,1),(137,1)}
        44:{1,3,6}:{(22,1),(24,1),(75,1)}
        45:{1,2,4,7}:{(22,1),(23,1),(72,1),(75,1),(143,1)}
        46:{1,3,4}:{(24,1),(28,1)}
        47:{2,3,4,6}:{(25,1),(29,1),(76,1),(77,1),(89,1)}
        48:{1,2,4,5}:{(25,1),(76,1),(78,1),(147,1),(157,1),(199,1)}
        49:{1,3,4,6}:{(26,1),(66,1),(79,1),(80,1),(136,1)}
        50:{1,2,4,5}:{(26,1),(79,1),(81,1),(147,1),(191,1),(199,1)}
        51:{1,2,3,5,6}:{(27,1),(34,1),(71,1),(82,1),(83,1),(84,1),(86,1),(133,1),(146,1),(152,1),(156,1),(199,1),(203,1),(205,1),(227,1)}
        52:{1,2,4,6}:{(27,1),(28,1),(37,1),(74,1),(84,1),(85,1),(156,1)}
        53:{1,2,3,7}:{(27,1),(38,1),(75,1),(85,1)}
        54:{1,2,5,6}:{(29,1),(76,1),(86,1),(87,1),(199,1),(227,1)}
        55:{2,3,5,7}:{(29,1),(32,1),(77,1),(87,1),(88,1),(90,1)}
        56:{3,5,6}:{(30,1),(89,1),(90,1),(152,1),(203,1)}
        57:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(35,1),(87,1),(90,1),(91,1),(96,1),(158,1),(164,1),(207,1),(209,1)}
        58:{1,4,6,7}:{(31,1),(33,1),(36,1),(92,1),(197,1)}
        59:{2,4,6,7}:{(32,1),(33,1),(88,1),(93,1),(223,1)}
        60:{3,5,6,7}:{(33,1),(92,1),(93,1),(94,1),(225,1)}
        61:{2,4,6}:{(34,1),(89,1),(95,1),(96,1)}
        62:{2,3,5,7}:{(34,1),(35,1),(38,1),(90,1),(96,1),(97,1),(164,1)}
        63:{1,2,6,7}:{(35,1),(36,1),(97,1),(156,1)}
        64:{2,3,5}:{(37,1),(84,1),(95,1),(152,1)}
        65:{2,3,4,7}:{(37,1),(38,1),(85,1),(96,1),(98,1),(153,1)}
        66:{1,3,5,6}:{(39,1),(49,1),(99,1),(100,1),(101,1),(177,1),(217,1)}
        67:{1,2,4,5,6}:{(39,1),(40,1),(42,1),(99,1),(101,1),(102,1),(106,1),(119,1),(165,1),(183,1),(215,1),(229,1),(230,1)}
        68:{1,4,5,7}:{(39,1),(41,1),(100,1),(103,1)}
        69:{2,4,5,7}:{(40,1),(41,1),(43,1),(104,1)}
        70:{3,4,6,7}:{(41,1),(103,1),(104,1),(105,1),(170,1),(187,1),(214,1)}
        71:{1,3,5,6}:{(42,1),(44,1),(101,1),(106,1),(107,1),(109,1),(174,1),(215,1)}
        72:{1,2,5,7}:{(42,1),(43,1),(45,1),(107,1),(108,1)}
        73:{2,3,6,7}:{(43,1),(104,1),(108,1),(132,1),(170,1)}
        74:{1,3,4,6}:{(44,1),(46,1),(52,1),(106,1),(109,1),(110,1),(118,1),(174,1)}
        75:{1,3,7}:{(44,1),(45,1)}
        76:{1,2,4,6}:{(47,1),(48,1),(54,1),(112,1),(113,1),(123,1)}
        77:{2,3,4,7}:{(47,1),(55,1),(113,1),(127,1)}
        78:{1,3,5}:{(48,1),(112,1),(114,1)}
        79:{1,2,4,6}:{(49,1),(50,1),(99,1),(115,1),(116,1),(165,1)}
        80:{1,3,4,7}:{(49,1),(100,1),(116,1),(169,1)}
        81:{2,3,5}:{(50,1),(115,1),(117,1)}
        82:{1,2,4,6}:{(51,1),(61,1),(106,1),(118,1),(119,1),(120,1),(123,1),(165,1)}
        83:{1,2,3,5,7}:{(51,1),(53,1),(62,1),(107,1),(120,1),(121,1),(122,1),(124,1),(166,1),(176,1),(181,1),(184,1),(216,1)}
        84:{1,2,5}:{(52,1),(64,1),(109,1)}
        85:{1,2,4,7}:{(52,1),(53,1),(65,1),(110,1),(122,1)}
        86:{1,3,5,6}:{(54,1),(56,1),(112,1),(123,1),(124,1),(177,1),(217,1),(221,1)}
        87:{1,2,5,7}:{(54,1),(55,1),(113,1),(124,1),(125,1)}
        88:{2,3,6,7}:{(55,1),(59,1),(125,1),(128,1),(218,1)}
        89:{3,4,6}:{(56,1),(61,1),(123,1),(126,1),(127,1)}
        90:{3,5,7}:{(56,1),(57,1),(127,1),(128,1)}
        91:{1,2,4,6,7}:{(57,1),(58,1),(59,1),(63,1),(125,1),(128,1),(129,1),(131,1),(183,1),(186,1),(189,1)}
        92:{1,5,6,7}:{(58,1),(60,1),(215,1)}
        93:{2,5,6,7}:{(59,1),(60,1),(229,1)}
        94:{4,5,6,7}:{(60,1),(189,1),(230,1)}
        95:{2,4,5}:{(61,1),(64,1),(126,1)}
        96:{2,4,7}:{(61,1),(62,1),(127,1)}
        97:{2,3,6,7}:{(62,1),(63,1),(128,1),(131,1),(132,1)}
        98:{2,3,5,7}:{(64,1),(65,1),(122,1),(130,1),(132,1),(181,1)}
        99:{1,2,5,6}:{(66,1),(79,1),(133,1),(134,1),(199,1),(227,1)}
       100:{1,3,5,7}:{(66,1),(68,1),(80,1),(134,1),(135,1),(137,1)}
       101:{3,5,6}:{(67,1),(136,1),(137,1),(152,1),(203,1)}
       102:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(72,1),(134,1),(137,1),(138,1),(143,1),(192,1),(198,1),(224,1),(226,1)}
       103:{1,4,6,7}:{(68,1),(70,1),(135,1),(139,1),(206,1)}
       104:{2,4,6,7}:{(69,1),(70,1),(73,1),(140,1),(163,1)}
       105:{3,5,6,7}:{(70,1),(139,1),(140,1),(141,1),(208,1)}
       106:{1,4,6}:{(71,1),(136,1),(142,1),(143,1)}
       107:{1,3,5,7}:{(71,1),(72,1),(75,1),(137,1),(143,1),(144,1),(198,1)}
       108:{1,2,6,7}:{(72,1),(73,1),(144,1),(156,1)}
       109:{1,3,5}:{(74,1),(84,1),(142,1),(152,1)}
       110:{1,3,4,7}:{(74,1),(75,1),(85,1),(143,1),(145,1),(153,1)}
       111:{1,2,3,5}:{(78,1),(81,1),(146,1),(147,1),(199,1)}
       112:{1,3,6}:{(76,1),(78,1),(149,1)}
       113:{1,2,4,7}:{(76,1),(77,1),(87,1),(149,1),(158,1)}
       114:{1,3,4}:{(78,1),(147,1)}
       115:{2,3,6}:{(79,1),(81,1),(151,1)}
       116:{1,2,4,7}:{(79,1),(80,1),(134,1),(151,1),(192,1)}
       117:{2,3,4}:{(81,1),(147,1)}
       118:{3,4,6}:{(82,1),(152,1),(153,1),(203,1)}
       119:{1,2,4,5}:{(82,1),(84,1),(95,1),(142,1),(152,1),(157,1),(191,1),(199,1)}
       120:{1,2,4,7}:{(82,1),(83,1),(96,1),(143,1),(153,1),(158,1),(192,1)}
       121:{1,2,3,6,7}:{(83,1),(97,1),(144,1),(155,1),(156,1),(159,1),(193,1),(203,1),(227,1)}
       122:{1,2,5,7}:{(84,1),(85,1),(98,1),(145,1),(156,1)}
       123:{1,4,6}:{(86,1),(89,1),(157,1),(158,1)}
       124:{1,3,5,7}:{(86,1),(87,1),(90,1),(149,1),(158,1),(159,1),(207,1)}
       125:{1,2,6,7}:{(87,1),(88,1),(159,1),(227,1)}
       126:{3,4,5}:{(89,1),(95,1),(152,1),(157,1)}
       127:{3,4,7}:{(89,1),(90,1),(96,1),(158,1)}
       128:{3,6,7}:{(90,1),(91,1),(203,1)}
       129:{1,2,5,6,7}:{(91,1),(92,1),(93,1),(162,1),(164,1),(205,1),(207,1)}
       130:{2,4,5,7}:{(95,1),(96,1),(98,1),(160,1),(163,1),(164,1)}
       131:{2,4,6,7}:{(96,1),(97,1),(161,1),(163,1),(164,1)}
       132:{2,3,6}:{(98,1),(156,1),(163,1),(203,1)}
       133:{2,3,5,6}:{(99,1),(101,1),(115,1),(165,1),(166,1),(179,1),(218,1),(229,1)}
       134:{1,2,5,7}:{(99,1),(100,1),(116,1),(166,1),(167,1)}
       135:{1,3,6,7}:{(100,1),(103,1),(167,1),(170,1),(217,1)}
       136:{3,4,6}:{(101,1),(106,1),(165,1),(168,1),(169,1)}
       137:{3,5,7}:{(101,1),(102,1),(169,1),(170,1)}
       138:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(108,1),(167,1),(170,1),(171,1),(173,1),(183,1),(211,1),(214,1)}
       139:{1,5,6,7}:{(103,1),(105,1),(221,1)}
       140:{2,5,6,7}:{(104,1),(105,1),(190,1)}
       141:{4,5,6,7}:{(105,1),(214,1),(222,1)}
       142:{1,4,5}:{(106,1),(109,1),(168,1)}
       143:{1,4,7}:{(106,1),(107,1),(169,1)}
       144:{1,3,6,7}:{(107,1),(108,1),(170,1),(173,1),(174,1)}
       145:{1,3,5,7}:{(109,1),(110,1),(122,1),(172,1),(174,1),(181,1)}
       146:{1,2,3,6}:{(111,1),(112,1),(115,1),(175,1),(176,1)}
       147:{1,2,4}:{(111,1),(114,1),(117,1)}
       148:{1,3,4,6}:{(112,1),(114,1),(118,1),(123,1),(175,1),(177,1),(178,1),(217,1)}
       149:{1,3,7}:{(112,1),(113,1)}
       150:{2,3,4,6}:{(115,1),(117,1),(118,1),(165,1),(175,1),(179,1),(180,1),(218,1)}
       151:{2,3,7}:{(115,1),(116,1)}
       152:{3,5}:{(118,1),(119,1)}
       153:{3,4,7}:{(118,1),(120,1),(181,1)}
       154:{1,2,4,5,7}:{(119,1),(120,1),(122,1),(130,1),(172,1),(181,1),(183,1),(184,1),(185,1),(210,1),(216,1),(220,1)}
       155:{1,2,4,6,7}:{(120,1),(121,1),(131,1),(173,1),(182,1),(183,1),(184,1),(186,1),(211,1)}
       156:{1,2,6}:{(122,1),(132,1),(174,1)}
       157:{1,4,5}:{(123,1),(126,1),(177,1)}
       158:{1,4,7}:{(123,1),(124,1),(127,1)}
       159:{1,3,6,7}:{(124,1),(125,1),(128,1),(186,1),(217,1)}
       160:{3,4,5,7}:{(126,1),(127,1),(130,1),(181,1),(185,1),(187,1),(188,1),(220,1)}
       161:{3,4,6,7}:{(127,1),(128,1),(131,1),(186,1),(187,1),(188,1),(189,1)}
       162:{3,5,6,7}:{(128,1),(129,1),(188,1),(189,1),(219,1)}
       163:{2,4,6}:{(130,1),(132,1),(187,1),(190,1)}
       164:{2,5,7}:{(131,1),(188,1),(190,1)}
       165:{2,4,6}:{(133,1),(136,1),(191,1),(192,1)}
       166:{2,3,5,7}:{(133,1),(134,1),(137,1),(151,1),(192,1),(193,1),(224,1)}
       167:{1,2,6,7}:{(134,1),(135,1),(193,1),(227,1)}
       168:{3,4,5}:{(136,1),(142,1),(152,1),(191,1)}
       169:{3,4,7}:{(136,1),(137,1),(143,1),(192,1)}
       170:{3,6,7}:{(137,1),(138,1),(203,1)}
       171:{1,2,5,6,7}:{(138,1),(139,1),(140,1),(196,1),(198,1),(205,1),(224,1)}
       172:{1,4,5,7}:{(142,1),(143,1),(145,1),(194,1),(197,1),(198,1)}
       173:{1,4,6,7}:{(143,1),(144,1),(195,1),(197,1),(198,1)}
       174:{1,3,6}:{(145,1),(156,1),(197,1),(203,1)}
       175:{1,2,4,6}:{(146,1),(147,1),(148,1),(150,1),(199,1),(200,1),(227,1)}
       176:{1,2,3,7}:{(146,1),(149,1),(151,1),(200,1)}
       177:{1,3,5}:{(148,1),(152,1),(157,1),(199,1)}
       178:{1,3,4,7}:{(148,1),(149,1),(153,1),(158,1),(200,1),(201,1)}
       179:{2,3,5}:{(150,1),(152,1),(191,1),(199,1)}
       180:{2,3,4,7}:{(150,1),(151,1),(153,1),(192,1),(200,1),(202,1)}
       181:{3,5,7}:{(152,1),(153,1),(154,1),(203,1)}
       182:{3,4,6,7}:{(153,1),(155,1),(203,1),(204,1),(228,1)}
       183:{1,2,4,6}:{(154,1),(156,1),(163,1),(197,1),(203,1),(205,1),(206,1),(223,1),(227,1),(228,1)}
       184:{1,2,5,7}:{(155,1),(164,1),(198,1),(204,1),(205,1),(207,1),(224,1)}
       185:{1,4,5,7}:{(157,1),(158,1),(160,1),(201,1),(206,1),(207,1)}
       186:{1,4,6,7}:{(158,1),(159,1),(161,1),(206,1),(207,1)}
       187:{3,4,6}:{(160,1),(163,1),(203,1),(206,1),(208,1),(228,1)}
       188:{3,5,7}:{(161,1),(164,1),(207,1),(208,1),(209,1)}
       189:{4,6,7}:{(162,1),(209,1),(228,1)}
       190:{2,5,6}:{(163,1),(164,1),(208,1)}
       191:{2,4,5}:{(165,1),(168,1),(179,1)}
       192:{2,4,7}:{(165,1),(166,1),(169,1)}
       193:{2,3,6,7}:{(166,1),(167,1),(170,1),(211,1),(218,1)}
       194:{3,4,5,7}:{(168,1),(169,1),(172,1),(181,1),(210,1),(212,1),(213,1),(220,1)}
       195:{3,4,6,7}:{(169,1),(170,1),(173,1),(211,1),(212,1),(213,1),(214,1)}
       196:{3,5,6,7}:{(170,1),(171,1),(213,1),(214,1),(219,1)}
       197:{1,4,6}:{(172,1),(174,1),(212,1),(215,1)}
       198:{1,5,7}:{(173,1),(213,1),(215,1)}
       199:{1,2,5}:{(175,1),(177,1),(179,1)}
       200:{1,2,4,7}:{(175,1),(176,1),(178,1),(180,1),(216,1)}
       201:{1,3,5,7}:{(177,1),(178,1),(181,1),(185,1),(216,1),(217,1)}
       202:{2,3,5,7}:{(179,1),(180,1),(181,1),(210,1),(216,1),(218,1)}
       203:{3,6}:{(181,1),(183,1)}
       204:{3,5,7}:{(182,1),(184,1),(219,1),(220,1)}
       205:{1,2,5,6}:{(183,1),(184,1),(190,1),(215,1),(219,1),(221,1),(229,1)}
       206:{1,4,6}:{(185,1),(187,1),(217,1),(221,1)}
       207:{1,5,7}:{(186,1),(188,1),(221,1)}
       208:{3,5,6}:{(187,1),(188,1),(190,1),(221,1),(222,1)}
       209:{4,5,7}:{(188,1),(189,1),(222,1)}
       210:{2,4,5,7}:{(191,1),(192,1),(194,1),(202,1),(223,1),(224,1)}
       211:{2,4,6,7}:{(192,1),(193,1),(195,1),(223,1),(224,1)}
       212:{3,4,6}:{(194,1),(197,1),(203,1),(223,1),(225,1),(228,1)}
       213:{3,5,7}:{(195,1),(198,1),(224,1),(225,1),(226,1)}
       214:{4,6,7}:{(196,1),(226,1),(228,1)}
       215:{1,5,6}:{(197,1),(198,1),(225,1)}
       216:{1,2,5,7}:{(199,1),(200,1),(201,1),(202,1),(227,1)}
       217:{1,3,6}:{(201,1),(203,1),(206,1),(227,1)}
       218:{2,3,6}:{(202,1),(203,1),(223,1),(227,1)}
       219:{3,5,6}:{(203,1),(204,1),(205,1),(228,1)}
       220:{4,5,7}:{(204,1),(228,1)}
       221:{1,5,6}:{(206,1),(207,1),(208,1)}
       222:{4,5,6}:{(208,1),(209,1),(228,1)}
       223:{2,4,6}:{(210,1),(212,1),(218,1),(229,1)}
       224:{2,5,7}:{(211,1),(213,1),(229,1)}
       225:{3,5,6}:{(212,1),(213,1),(215,1),(229,1),(230,1)}
       226:{4,5,7}:{(213,1),(214,1),(230,1)}
       227:{1,2,6}:{(216,1),(217,1),(218,1)}
       228:{4,6}:{(219,1),(220,1)}
       229:{2,5,6}:{(223,1),(224,1),(225,1)}
       230:{4,5,6}:{(225,1),(226,1),(228,1)}

1329 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(23,1),(165,1),(177,1),(209,1)}
         1:{1,3,4,5}:{(5,1),(6,1),(63,1),(71,1),(120,1)}
         2:{1,4,5,6}:{(0,1),(8,1),(11,1),(150,1),(201,1)}
         3:{2,4,5,6}:{(0,1),(9,1),(12,1),(183,1),(217,1)}
         4:{3,4,5,7}:{(0,1),(11,1),(12,1),(13,1),(42,1),(149,1)}
         5:{1,3,4,6}:{(1,1),(8,1),(14,1),(15,1),(41,1)}
         6:{1,2,4,5}:{(1,1),(14,1),(16,1),(50,1),(81,1),(92,1)}
         7:{2,3,4,5}:{(17,1),(18,1),(63,1),(103,1),(157,1)}
         8:{1,3,5,6}:{(2,1),(5,1),(19,1),(20,1),(23,1),(120,1),(181,1)}
         9:{2,3,5,6}:{(3,1),(17,1),(21,1),(22,1),(23,1),(157,1),(206,1)}
        10:{1,2,4,5,6}:{(2,1),(3,1),(19,1),(21,1),(23,1),(24,1),(57,1),(60,1),(107,1),(170,1),(173,1),(175,1),(177,1)}
        11:{1,4,5,7}:{(2,1),(4,1),(20,1),(25,1)}
        12:{2,4,5,7}:{(3,1),(4,1),(22,1),(26,1)}
        13:{3,4,6,7}:{(4,1),(25,1),(26,1),(27,1),(65,1),(119,1),(209,1)}
        14:{1,2,4,6}:{(5,1),(6,1),(19,1),(28,1),(29,1),(57,1)}
        15:{1,3,4,7}:{(5,1),(20,1),(29,1),(64,1)}
        16:{2,3,5}:{(6,1),(28,1),(31,1)}
        17:{2,3,4,6}:{(7,1),(9,1),(32,1),(33,1),(41,1)}
        18:{1,2,4,5}:{(7,1),(32,1),(34,1),(77,1),(84,1),(129,1)}
        19:{1,2,5,6}:{(8,1),(14,1),(35,1),(36,1),(92,1),(154,1)}
        20:{1,3,5,7}:{(8,1),(11,1),(15,1),(36,1),(37,1),(42,1)}
        21:{1,2,5,6}:{(9,1),(32,1),(38,1),(39,1),(129,1),(187,1)}
        22:{2,3,5,7}:{(9,1),(12,1),(33,1),(39,1),(40,1),(42,1)}
        23:{3,5,6}:{(10,1),(41,1),(42,1),(136,1),(193,1)}
        24:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(36,1),(39,1),(42,1),(43,1),(82,1),(85,1),(143,1),(146,1),(149,1)}
        25:{1,4,6,7}:{(11,1),(13,1),(37,1),(44,1),(201,1)}
        26:{2,4,6,7}:{(12,1),(13,1),(40,1),(45,1),(217,1)}
        27:{3,5,6,7}:{(13,1),(44,1),(45,1),(46,1),(220,1)}
        28:{2,3,6}:{(14,1),(16,1),(49,1)}
        29:{1,2,4,7}:{(14,1),(15,1),(36,1),(49,1),(82,1)}
        30:{1,2,3,5}:{(16,1),(47,1),(50,1),(92,1),(96,1)}
        31:{2,3,4}:{(16,1),(50,1)}
        32:{1,2,4,6}:{(17,1),(18,1),(21,1),(52,1),(53,1),(60,1)}
        33:{2,3,4,7}:{(17,1),(22,1),(53,1),(64,1)}
        34:{1,3,5}:{(18,1),(52,1),(55,1)}
        35:{2,3,5,6}:{(19,1),(23,1),(28,1),(57,1),(58,1),(69,1),(125,1),(173,1)}
        36:{1,2,5,7}:{(19,1),(20,1),(29,1),(58,1),(59,1)}
        37:{1,3,6,7}:{(20,1),(25,1),(59,1),(65,1),(181,1)}
        38:{1,3,5,6}:{(21,1),(23,1),(52,1),(60,1),(61,1),(101,1),(162,1),(175,1)}
        39:{1,2,5,7}:{(21,1),(22,1),(53,1),(61,1),(62,1)}
        40:{2,3,6,7}:{(22,1),(26,1),(62,1),(65,1),(206,1)}
        41:{3,4,6}:{(23,1),(57,1),(60,1),(63,1),(64,1)}
        42:{3,5,7}:{(23,1),(24,1),(64,1),(65,1)}
        43:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(59,1),(62,1),(65,1),(66,1),(112,1),(115,1),(119,1),(170,1)}
        44:{1,5,6,7}:{(25,1),(27,1),(215,1)}
        45:{2,5,6,7}:{(26,1),(27,1),(225,1)}
        46:{4,5,6,7}:{(27,1),(119,1),(227,1)}
        47:{1,2,3,6}:{(28,1),(30,1),(67,1),(68,1),(126,1)}
        48:{2,3,4,6}:{(28,1),(31,1),(57,1),(67,1),(69,1),(70,1),(106,1),(125,1)}
        49:{2,3,7}:{(28,1),(29,1)}
        50:{1,2,4}:{(30,1),(31,1),(71,1)}
        51:{2,3,4,5}:{(31,1),(69,1),(72,1),(73,1),(165,1)}
        52:{1,3,6}:{(32,1),(34,1),(76,1)}
        53:{1,2,4,7}:{(32,1),(33,1),(39,1),(76,1),(85,1)}
        54:{1,2,3,5}:{(34,1),(74,1),(77,1),(129,1),(133,1)}
        55:{1,3,4}:{(34,1),(77,1)}
        56:{1,2,3,5,6}:{(35,1),(38,1),(47,1),(74,1),(79,1),(80,1),(92,1),(129,1),(136,1),(151,1),(154,1),(184,1),(187,1),(193,1),(196,1)}
        57:{2,4,6}:{(35,1),(41,1),(81,1),(82,1)}
        58:{2,3,5,7}:{(35,1),(36,1),(42,1),(49,1),(82,1),(83,1),(143,1)}
        59:{1,2,6,7}:{(36,1),(37,1),(83,1),(154,1)}
        60:{1,4,6}:{(38,1),(41,1),(84,1),(85,1)}
        61:{1,3,5,7}:{(38,1),(39,1),(42,1),(76,1),(85,1),(86,1),(146,1)}
        62:{1,2,6,7}:{(39,1),(40,1),(86,1),(187,1)}
        63:{3,4,5}:{(41,1),(81,1),(84,1),(136,1)}
        64:{3,4,7}:{(41,1),(42,1),(82,1),(85,1)}
        65:{3,6,7}:{(42,1),(43,1),(193,1)}
        66:{1,2,5,6,7}:{(43,1),(44,1),(45,1),(90,1),(143,1),(146,1),(196,1)}
        67:{1,2,4,6}:{(47,1),(48,1),(50,1),(91,1),(92,1),(93,1),(154,1)}
        68:{1,2,3,7}:{(47,1),(49,1),(93,1),(156,1)}
        69:{2,3,5}:{(48,1),(81,1),(92,1),(136,1)}
        70:{2,3,4,7}:{(48,1),(49,1),(82,1),(93,1),(95,1),(137,1)}
        71:{1,3,4}:{(50,1),(96,1)}
        72:{1,2,4,5}:{(50,1),(51,1),(92,1),(96,1),(97,1),(150,1)}
        73:{2,3,4,6}:{(51,1),(94,1),(97,1),(98,1),(190,1)}
        74:{1,2,3,6}:{(52,1),(54,1),(99,1),(100,1),(163,1)}
        75:{1,3,4,6}:{(52,1),(55,1),(60,1),(99,1),(101,1),(102,1),(106,1),(162,1)}
        76:{1,3,7}:{(52,1),(53,1)}
        77:{1,2,4}:{(54,1),(55,1),(103,1)}
        78:{1,3,4,5}:{(55,1),(101,1),(104,1),(105,1),(165,1)}
        79:{1,2,4,6}:{(56,1),(57,1),(60,1),(106,1),(107,1),(108,1),(178,1),(203,1)}
        80:{1,2,3,5,7}:{(56,1),(58,1),(61,1),(68,1),(100,1),(108,1),(109,1),(123,1),(160,1),(167,1),(171,1),(180,1),(205,1)}
        81:{2,4,5}:{(57,1),(63,1),(69,1)}
        82:{2,4,7}:{(57,1),(58,1),(64,1)}
        83:{2,3,6,7}:{(58,1),(59,1),(65,1),(112,1),(125,1)}
        84:{1,4,5}:{(60,1),(63,1),(101,1)}
        85:{1,4,7}:{(60,1),(61,1),(64,1)}
        86:{1,3,6,7}:{(61,1),(62,1),(65,1),(115,1),(162,1)}
        87:{3,4,5,6}:{(63,1),(110,1),(113,1),(116,1),(117,1),(166,1),(227,1)}
        88:{3,4,5,7}:{(63,1),(64,1),(111,1),(114,1),(117,1),(118,1),(167,1),(212,1)}
        89:{3,4,6,7}:{(64,1),(65,1),(112,1),(115,1),(117,1),(118,1),(119,1)}
        90:{3,5,6,7}:{(65,1),(66,1),(118,1),(119,1),(211,1)}
        91:{1,3,4,6}:{(67,1),(71,1),(106,1),(120,1),(121,1),(126,1),(178,1),(181,1)}
        92:{1,2,5}:{(67,1),(69,1),(120,1)}
        93:{1,2,4,7}:{(67,1),(68,1),(70,1),(121,1),(123,1)}
        94:{2,3,5,6}:{(69,1),(73,1),(110,1),(122,1),(124,1),(125,1),(166,1)}
        95:{2,3,5,7}:{(69,1),(70,1),(111,1),(123,1),(125,1),(167,1)}
        96:{1,3,5}:{(71,1),(72,1),(126,1)}
        97:{1,2,4,6}:{(72,1),(73,1),(122,1),(126,1),(127,1),(178,1)}
        98:{2,3,4,7}:{(73,1),(124,1),(127,1),(208,1)}
        99:{1,2,4,6}:{(74,1),(75,1),(77,1),(128,1),(129,1),(130,1),(187,1)}
       100:{1,2,3,7}:{(74,1),(76,1),(130,1),(189,1)}
       101:{1,3,5}:{(75,1),(84,1),(129,1),(136,1)}
       102:{1,3,4,7}:{(75,1),(76,1),(85,1),(130,1),(132,1),(137,1)}
       103:{2,3,4}:{(77,1),(133,1)}
       104:{1,2,4,5}:{(77,1),(78,1),(129,1),(133,1),(134,1),(183,1)}
       105:{1,3,4,6}:{(78,1),(131,1),(134,1),(135,1),(190,1)}
       106:{3,4,6}:{(79,1),(136,1),(137,1),(193,1)}
       107:{1,2,4,5}:{(79,1),(81,1),(84,1),(92,1),(129,1),(136,1),(150,1),(183,1)}
       108:{1,2,4,7}:{(79,1),(80,1),(82,1),(85,1),(137,1),(200,1),(216,1)}
       109:{1,2,3,6,7}:{(80,1),(83,1),(86,1),(140,1),(154,1),(187,1),(193,1),(202,1),(218,1)}
       110:{2,4,5,6}:{(81,1),(87,1),(94,1),(141,1),(142,1)}
       111:{2,4,5,7}:{(81,1),(82,1),(88,1),(95,1),(142,1),(143,1)}
       112:{2,4,6,7}:{(82,1),(83,1),(89,1),(142,1),(143,1)}
       113:{1,4,5,6}:{(84,1),(87,1),(131,1),(144,1),(145,1)}
       114:{1,4,5,7}:{(84,1),(85,1),(88,1),(132,1),(145,1),(146,1)}
       115:{1,4,6,7}:{(85,1),(86,1),(89,1),(145,1),(146,1)}
       116:{3,4,5,7}:{(87,1),(141,1),(144,1),(147,1),(192,1),(230,1)}
       117:{3,4,6}:{(88,1),(142,1),(145,1),(148,1),(193,1),(222,1)}
       118:{3,5,7}:{(89,1),(143,1),(146,1),(148,1),(149,1)}
       119:{4,6,7}:{(90,1),(149,1),(222,1)}
       120:{1,3,5}:{(91,1),(92,1),(136,1),(150,1)}
       121:{1,3,4,7}:{(91,1),(93,1),(137,1),(152,1),(156,1),(200,1)}
       122:{1,2,5,6}:{(92,1),(94,1),(97,1),(151,1),(153,1),(154,1)}
       123:{1,2,5,7}:{(92,1),(93,1),(95,1),(152,1),(154,1)}
       124:{2,3,5,7}:{(94,1),(98,1),(141,1),(153,1),(155,1),(192,1)}
       125:{2,3,6}:{(95,1),(142,1),(154,1),(193,1)}
       126:{1,3,6}:{(96,1),(97,1),(156,1)}
       127:{1,2,4,7}:{(97,1),(98,1),(153,1),(156,1),(200,1)}
       128:{2,3,4,6}:{(99,1),(103,1),(106,1),(157,1),(158,1),(163,1),(203,1),(206,1)}
       129:{1,2,5}:{(99,1),(101,1),(157,1)}
       130:{1,2,4,7}:{(99,1),(100,1),(102,1),(158,1),(160,1)}
       131:{1,3,5,6}:{(101,1),(105,1),(113,1),(159,1),(161,1),(162,1),(166,1)}
       132:{1,3,5,7}:{(101,1),(102,1),(114,1),(160,1),(162,1),(167,1)}
       133:{2,3,5}:{(103,1),(104,1),(163,1)}
       134:{1,2,4,6}:{(104,1),(105,1),(159,1),(163,1),(164,1),(203,1)}
       135:{1,3,4,7}:{(105,1),(161,1),(164,1),(208,1)}
       136:{3,5}:{(106,1),(107,1)}
       137:{3,4,7}:{(106,1),(108,1),(167,1)}
       138:{1,2,4,5,6}:{(107,1),(110,1),(113,1),(122,1),(159,1),(166,1),(169,1),(170,1),(178,1),(203,1),(215,1),(225,1),(227,1)}
       139:{1,2,4,5,7}:{(107,1),(108,1),(111,1),(114,1),(123,1),(160,1),(167,1),(170,1),(171,1),(179,1),(204,1),(212,1)}
       140:{1,2,4,6,7}:{(108,1),(109,1),(112,1),(115,1),(168,1),(170,1),(171,1),(214,1),(224,1)}
       141:{2,4,5,7}:{(110,1),(116,1),(124,1),(172,1)}
       142:{2,4,6}:{(111,1),(117,1),(125,1),(173,1)}
       143:{2,5,7}:{(112,1),(118,1),(173,1)}
       144:{1,4,5,7}:{(113,1),(116,1),(161,1),(174,1)}
       145:{1,4,6}:{(114,1),(117,1),(162,1),(175,1)}
       146:{1,5,7}:{(115,1),(118,1),(175,1)}
       147:{3,4,6,7}:{(116,1),(117,1),(172,1),(174,1),(176,1),(210,1),(228,1)}
       148:{3,5,6}:{(117,1),(118,1),(173,1),(175,1),(177,1)}
       149:{4,5,7}:{(118,1),(119,1),(177,1)}
       150:{1,4,5}:{(120,1),(165,1),(178,1)}
       151:{1,3,5,6}:{(120,1),(122,1),(126,1),(166,1),(178,1),(180,1),(181,1),(215,1)}
       152:{1,3,5,7}:{(120,1),(121,1),(123,1),(167,1),(179,1),(181,1)}
       153:{1,2,5,7}:{(122,1),(124,1),(127,1),(180,1),(182,1)}
       154:{1,2,6}:{(123,1),(125,1),(181,1)}
       155:{2,3,6,7}:{(124,1),(125,1),(172,1),(182,1),(210,1)}
       156:{1,3,7}:{(126,1),(127,1)}
       157:{2,3,5}:{(128,1),(129,1),(136,1),(183,1)}
       158:{2,3,4,7}:{(128,1),(130,1),(137,1),(185,1),(189,1),(216,1)}
       159:{1,2,5,6}:{(129,1),(131,1),(134,1),(184,1),(186,1),(187,1)}
       160:{1,2,5,7}:{(129,1),(130,1),(132,1),(185,1),(187,1)}
       161:{1,3,5,7}:{(131,1),(135,1),(144,1),(186,1),(188,1),(192,1)}
       162:{1,3,6}:{(132,1),(145,1),(187,1),(193,1)}
       163:{2,3,6}:{(133,1),(134,1),(189,1)}
       164:{1,2,4,7}:{(134,1),(135,1),(186,1),(189,1),(216,1)}
       165:{3,4,5}:{(136,1),(150,1),(183,1),(190,1)}
       166:{3,5,6}:{(136,1),(138,1),(190,1),(192,1),(193,1)}
       167:{3,5,7}:{(136,1),(137,1),(139,1),(193,1)}
       168:{3,4,6,7}:{(137,1),(140,1),(193,1),(194,1),(222,1)}
       169:{1,2,4,5,7}:{(138,1),(141,1),(144,1),(153,1),(186,1),(192,1),(195,1),(200,1),(216,1),(223,1),(229,1),(230,1)}
       170:{1,2,4,6}:{(139,1),(142,1),(145,1),(154,1),(187,1),(193,1),(196,1),(201,1),(217,1),(222,1)}
       171:{1,2,5,7}:{(140,1),(143,1),(146,1),(194,1),(196,1),(223,1),(229,1)}
       172:{2,4,6,7}:{(141,1),(142,1),(147,1),(155,1),(197,1)}
       173:{2,5,6}:{(142,1),(143,1),(148,1)}
       174:{1,4,6,7}:{(144,1),(145,1),(147,1),(188,1),(198,1)}
       175:{1,5,6}:{(145,1),(146,1),(148,1)}
       176:{3,5,6,7}:{(147,1),(148,1),(197,1),(198,1),(199,1)}
       177:{4,5,6}:{(148,1),(149,1),(222,1)}
       178:{1,4,6}:{(150,1),(151,1),(190,1),(200,1)}
       179:{1,4,5,7}:{(150,1),(152,1),(191,1),(200,1),(201,1),(223,1)}
       180:{1,3,5,7}:{(151,1),(153,1),(156,1),(192,1),(200,1),(202,1),(223,1)}
       181:{1,3,6}:{(152,1),(154,1),(193,1),(201,1)}
       182:{1,2,6,7}:{(153,1),(154,1),(155,1),(202,1)}
       183:{2,4,5}:{(157,1),(165,1),(203,1)}
       184:{2,3,5,6}:{(157,1),(159,1),(163,1),(166,1),(203,1),(205,1),(206,1),(225,1)}
       185:{2,3,5,7}:{(157,1),(158,1),(160,1),(167,1),(204,1),(206,1)}
       186:{1,2,5,7}:{(159,1),(161,1),(164,1),(205,1),(207,1)}
       187:{1,2,6}:{(160,1),(162,1),(206,1)}
       188:{1,3,6,7}:{(161,1),(162,1),(174,1),(207,1),(210,1)}
       189:{2,3,7}:{(163,1),(164,1)}
       190:{3,4,6}:{(165,1),(166,1),(178,1),(203,1),(208,1)}
       191:{3,4,5,7}:{(165,1),(167,1),(179,1),(204,1),(208,1),(209,1),(212,1),(226,1)}
       192:{3,5,7}:{(166,1),(169,1),(208,1),(210,1)}
       193:{3,6}:{(167,1),(170,1)}
       194:{3,5,7}:{(168,1),(171,1),(211,1),(212,1)}
       195:{1,2,4,6,7}:{(169,1),(170,1),(172,1),(174,1),(182,1),(207,1),(210,1),(213,1),(214,1),(224,1),(228,1)}
       196:{1,2,5,6}:{(170,1),(171,1),(173,1),(175,1),(211,1),(215,1),(225,1)}
       197:{2,5,6,7}:{(172,1),(173,1),(176,1)}
       198:{1,5,6,7}:{(174,1),(175,1),(176,1)}
       199:{4,5,6,7}:{(176,1),(177,1),(228,1)}
       200:{1,4,7}:{(178,1),(180,1),(208,1)}
       201:{1,4,6}:{(179,1),(181,1),(209,1),(215,1)}
       202:{1,3,6,7}:{(180,1),(181,1),(182,1),(210,1),(214,1)}
       203:{2,4,6}:{(183,1),(184,1),(190,1),(216,1)}
       204:{2,4,5,7}:{(183,1),(185,1),(191,1),(216,1),(217,1),(229,1)}
       205:{2,3,5,7}:{(184,1),(186,1),(189,1),(192,1),(216,1),(218,1),(229,1)}
       206:{2,3,6}:{(185,1),(187,1),(193,1),(217,1)}
       207:{1,2,6,7}:{(186,1),(187,1),(188,1),(218,1)}
       208:{3,4,7}:{(190,1),(192,1),(200,1),(216,1)}
       209:{3,4,6}:{(191,1),(193,1),(201,1),(217,1),(220,1),(222,1)}
       210:{3,6,7}:{(192,1),(193,1),(195,1)}
       211:{3,5,6}:{(193,1),(194,1),(196,1),(222,1)}
       212:{4,5,7}:{(194,1),(222,1)}
       213:{1,2,5,6,7}:{(195,1),(196,1),(197,1),(198,1),(221,1),(223,1),(229,1)}
       214:{1,4,6,7}:{(200,1),(201,1),(202,1),(219,1),(223,1)}
       215:{1,5,6}:{(201,1),(220,1),(223,1)}
       216:{2,4,7}:{(203,1),(205,1),(208,1)}
       217:{2,4,6}:{(204,1),(206,1),(209,1),(225,1)}
       218:{2,3,6,7}:{(205,1),(206,1),(207,1),(210,1),(224,1)}
       219:{3,4,6,7}:{(208,1),(209,1),(210,1),(214,1),(224,1),(226,1),(228,1)}
       220:{3,5,6}:{(209,1),(215,1),(225,1),(226,1),(227,1)}
       221:{3,5,6,7}:{(210,1),(211,1),(213,1),(226,1),(228,1)}
       222:{4,6}:{(211,1),(212,1)}
       223:{1,5,7}:{(214,1),(215,1),(226,1)}
       224:{2,4,6,7}:{(216,1),(217,1),(218,1),(219,1),(229,1)}
       225:{2,5,6}:{(217,1),(220,1),(229,1)}
       226:{3,5,7}:{(219,1),(220,1),(223,1),(229,1),(230,1)}
       227:{4,5,6}:{(220,1),(222,1),(230,1)}
       228:{4,6,7}:{(221,1),(222,1),(230,1)}
       229:{2,5,7}:{(224,1),(225,1),(226,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

1330 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(75,1),(76,1),(78,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(14,1),(39,1),(40,1),(41,1),(44,1),(46,1),(78,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(24,1),(82,1),(83,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(57,1),(58,1),(62,1),(64,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(49,1),(50,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(15,1),(33,1),(41,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(12,1),(94,1),(95,1)}
         7:{1,2,4,5}:{(4,1),(14,1),(35,1),(36,1),(44,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(15,1),(67,1),(68,1)}
         9:{3,4,6}:{(4,1),(14,1),(15,1),(41,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,4,5,6}:{(7,1),(22,1),(23,1),(24,1),(49,1),(50,1),(51,1),(59,1),(86,1),(87,1)}
        12:{1,2,5,6}:{(6,1),(18,1),(24,1),(86,1),(87,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(24,1),(25,1),(53,1),(54,1),(62,1)}
        14:{3,5}:{(7,1),(9,1)}
        15:{3,4,7}:{(8,1),(9,1),(25,1)}
        16:{1,3,4,6}:{(9,1),(26,1),(28,1),(30,1),(49,1),(60,1),(85,1),(90,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(29,1),(30,1),(50,1),(61,1),(85,1),(90,1),(105,1)}
        18:{3,5,6}:{(10,1),(12,1),(33,1),(41,1)}
        19:{4,5,7}:{(10,1),(33,1)}
        20:{3,4,5}:{(14,1),(32,1),(35,1),(36,1),(74,1)}
        21:{1,2,5,6,7}:{(12,1),(31,1),(37,1),(94,1),(95,1)}
        22:{1,2,4,5,7}:{(11,1),(37,1),(38,1),(65,1),(67,1),(68,1),(77,1),(94,1),(95,1)}
        23:{3,5,6}:{(11,1),(14,1),(32,1),(38,1),(41,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(33,1),(41,1),(71,1),(72,1),(78,1)}
        25:{3,5,7}:{(13,1),(14,1),(15,1),(41,1)}
        26:{1,3,5}:{(14,1),(16,1),(35,1),(44,1),(74,1),(109,1)}
        27:{2,3,5}:{(14,1),(17,1),(36,1),(44,1),(74,1),(109,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(42,1),(45,1),(67,1),(97,1),(100,1)}
        29:{2,3,4,7}:{(15,1),(17,1),(43,1),(45,1),(68,1),(97,1),(100,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(44,1),(45,1),(46,1),(78,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(47,1),(56,1),(81,1)}
        32:{3,4,6}:{(20,1),(23,1),(48,1),(49,1),(50,1),(85,1)}
        33:{4,6}:{(18,1),(19,1)}
        34:{3,4,5,7}:{(19,1),(20,1),(25,1),(48,1),(52,1),(53,1),(54,1),(81,1),(89,1),(110,1),(111,1)}
        35:{1,4,5}:{(20,1),(26,1),(49,1),(111,1)}
        36:{2,4,5}:{(20,1),(27,1),(50,1),(111,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(24,1),(47,1),(56,1),(82,1),(83,1),(91,1)}
        38:{3,5,7}:{(22,1),(23,1),(48,1),(56,1)}
        39:{1,3,5,6}:{(23,1),(26,1),(49,1),(57,1),(59,1),(60,1),(85,1),(86,1),(104,1)}
        40:{2,3,5,6}:{(23,1),(27,1),(50,1),(58,1),(59,1),(61,1),(85,1),(87,1),(104,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(28,1),(53,1),(60,1),(62,1),(89,1)}
        43:{2,3,5,7}:{(25,1),(27,1),(29,1),(54,1),(61,1),(62,1),(89,1)}
        44:{1,2,5}:{(26,1),(27,1),(30,1)}
        45:{1,2,4,7}:{(28,1),(29,1),(30,1),(62,1),(64,1)}
        46:{1,2,3,6}:{(30,1),(63,1),(64,1),(85,1)}
        47:{4,6,7}:{(31,1),(33,1),(65,1)}
        48:{3,4,7}:{(32,1),(38,1),(67,1),(68,1),(97,1)}
        49:{1,4,6}:{(32,1),(35,1),(39,1),(67,1),(108,1)}
        50:{2,4,6}:{(32,1),(36,1),(40,1),(68,1),(108,1)}
        51:{4,5,6}:{(33,1),(65,1),(70,1),(108,1)}
        52:{3,4,6}:{(33,1),(34,1),(41,1),(70,1),(71,1),(72,1),(99,1),(108,1)}
        53:{1,4,5,7}:{(34,1),(35,1),(42,1),(67,1),(71,1),(94,1)}
        54:{2,4,5,7}:{(34,1),(36,1),(43,1),(68,1),(72,1),(95,1)}
        55:{1,2,4,5}:{(35,1),(36,1),(44,1),(69,1),(74,1),(80,1)}
        56:{3,6,7}:{(37,1),(38,1),(41,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(67,1),(75,1),(77,1),(94,1),(97,1),(107,1)}
        58:{2,3,5,7}:{(38,1),(40,1),(68,1),(76,1),(77,1),(95,1),(97,1),(107,1)}
        59:{1,2,5,6}:{(39,1),(40,1),(44,1),(69,1),(77,1),(78,1)}
        60:{1,3,6}:{(41,1),(42,1),(71,1),(78,1),(99,1)}
        61:{2,3,6}:{(41,1),(43,1),(72,1),(78,1),(99,1)}
        62:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(78,1)}
        63:{1,2,3,5}:{(44,1),(46,1),(74,1),(80,1)}
        64:{1,2,3,7}:{(45,1),(46,1),(97,1)}
        65:{4,5,7}:{(47,1),(51,1),(81,1),(110,1)}
        66:{3,4,6,7}:{(47,1),(48,1),(52,1),(56,1),(81,1),(82,1),(83,1),(103,1),(110,1)}
        67:{1,4,7}:{(48,1),(49,1),(57,1),(110,1)}
        68:{2,4,7}:{(48,1),(50,1),(58,1),(110,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(55,1),(59,1),(84,1),(85,1)}
        70:{3,5,6}:{(51,1),(52,1),(81,1),(86,1),(87,1)}
        71:{1,4,6}:{(52,1),(53,1),(60,1),(86,1)}
        72:{2,4,6}:{(52,1),(54,1),(61,1),(87,1)}
        73:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(62,1),(84,1),(88,1),(89,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        74:{3,5}:{(55,1),(85,1),(90,1)}
        75:{1,3,6,7}:{(56,1),(57,1),(60,1),(82,1),(91,1),(103,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(61,1),(83,1),(91,1),(103,1)}
        77:{1,2,5,7}:{(57,1),(58,1),(59,1),(84,1),(91,1)}
        78:{1,2,6}:{(60,1),(61,1),(62,1)}
        79:{1,2,3,5,7}:{(62,1),(63,1),(64,1),(89,1),(92,1),(93,1),(106,1)}
        80:{1,2,4}:{(63,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(70,1),(94,1),(95,1)}
        82:{1,4,6,7}:{(66,1),(67,1),(71,1),(75,1),(94,1)}
        83:{2,4,6,7}:{(66,1),(68,1),(72,1),(76,1),(95,1)}
        84:{1,2,4,7}:{(67,1),(68,1),(69,1),(77,1),(97,1)}
        85:{3,6}:{(69,1),(74,1),(97,1)}
        86:{1,5,6}:{(70,1),(71,1),(94,1)}
        87:{2,5,6}:{(70,1),(72,1),(95,1)}
        88:{1,2,4,6}:{(71,1),(72,1),(73,1),(78,1),(98,1),(99,1),(108,1)}
        89:{3,5,7}:{(73,1),(74,1),(97,1),(99,1),(100,1),(109,1)}
        90:{3,4}:{(74,1),(80,1)}
        91:{1,2,6,7}:{(75,1),(76,1),(77,1),(78,1)}
        92:{1,2,3,6}:{(78,1),(79,1),(99,1),(101,1)}
        93:{1,2,4,7}:{(79,1),(80,1),(100,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(86,1)}
        95:{2,5,7}:{(81,1),(83,1),(87,1)}
        96:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(88,1),(91,1),(102,1),(103,1),(110,1)}
        97:{3,7}:{(84,1),(85,1)}
        98:{1,2,5,6}:{(86,1),(87,1),(88,1),(102,1),(104,1),(106,1)}
        99:{3,6}:{(88,1),(89,1)}
       100:{3,4,7}:{(89,1),(90,1),(93,1),(105,1),(110,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(98,1),(107,1)}
       103:{3,6,7}:{(96,1),(97,1),(99,1),(107,1)}
       104:{3,5,6}:{(98,1),(99,1),(107,1),(108,1),(109,1)}
       105:{3,4,6}:{(99,1),(100,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(104,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1331 :   0:{1,3,5,6,7}:{(2,1),(3,1),(13,1),(14,1),(36,1),(42,1),(80,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(13,1),(17,1),(40,1),(43,1),(77,1)}
         2:{1,2,5,6,7}:{(0,1),(1,1),(5,1),(28,1),(31,1),(58,1),(61,1),(64,1)}
         3:{1,4,6,7}:{(0,1),(6,1),(7,1),(56,1),(62,1),(100,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(9,1),(60,1),(63,1),(97,1)}
         5:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(12,1),(13,1),(16,1),(18,1),(44,1),(76,1),(79,1),(83,1)}
         6:{1,4,5,7}:{(3,1),(10,1),(14,1),(119,1)}
         7:{3,4,6,7}:{(3,1),(13,1),(14,1),(16,1),(35,1),(41,1),(118,1)}
         8:{2,4,5,7}:{(4,1),(11,1),(17,1),(116,1)}
         9:{3,4,6,7}:{(4,1),(13,1),(17,1),(18,1),(38,1),(41,1),(115,1)}
        10:{1,4,5,6}:{(6,1),(21,1),(56,1)}
        11:{2,4,5,6}:{(8,1),(22,1),(60,1)}
        12:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(20,1),(23,1),(28,1),(31,1),(62,1),(63,1),(64,1)}
        13:{3,6,7}:{(5,1),(23,1),(96,1),(99,1),(103,1)}
        14:{3,5,7}:{(6,1),(7,1),(21,1),(28,1),(132,1)}
        15:{1,3,4,6,7}:{(7,1),(24,1),(27,1),(29,1),(56,1),(62,1),(92,1),(96,1),(103,1),(105,1),(129,1)}
        16:{2,4,6,7}:{(7,1),(25,1),(28,1),(57,1),(63,1),(131,1)}
        17:{3,5,7}:{(8,1),(9,1),(22,1),(31,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(24,1),(31,1),(59,1),(62,1),(129,1)}
        19:{2,3,4,6,7}:{(9,1),(25,1),(32,1),(33,1),(60,1),(63,1),(93,1),(99,1),(103,1),(107,1),(131,1)}
        20:{1,2,4,5,6}:{(10,1),(11,1),(12,1),(34,1),(37,1),(39,1),(72,1),(73,1),(74,1),(76,1),(79,1),(110,1),(116,1),(119,1),(136,1),(137,1)}
        21:{3,5,6}:{(10,1),(14,1),(35,1),(37,1)}
        22:{3,5,6}:{(11,1),(17,1),(38,1),(39,1)}
        23:{3,5,7}:{(12,1),(13,1),(34,1),(41,1)}
        24:{1,3,6,7}:{(13,1),(18,1),(42,1),(44,1),(78,1),(114,1)}
        25:{2,3,6,7}:{(13,1),(16,1),(43,1),(44,1),(75,1),(117,1)}
        26:{3,4,5,7}:{(14,1),(35,1),(41,1),(45,1),(46,1),(71,1),(85,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(36,1),(45,1),(47,1),(85,1),(108,1),(136,1)}
        28:{2,5,7}:{(14,1),(16,1),(37,1),(137,1)}
        29:{1,2,4,6,7}:{(15,1),(16,1),(44,1),(47,1),(48,1),(76,1),(83,1),(86,1),(111,1)}
        30:{3,4,5,7}:{(17,1),(38,1),(41,1),(49,1),(50,1),(71,1),(88,1)}
        31:{1,5,7}:{(17,1),(18,1),(39,1),(136,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(40,1),(50,1),(51,1),(88,1),(109,1),(137,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(44,1),(51,1),(52,1),(79,1),(83,1),(89,1),(112,1)}
        34:{3,5,6}:{(20,1),(23,1),(53,1),(96,1),(99,1),(126,1),(130,1),(132,1)}
        35:{3,4,6}:{(21,1),(26,1),(56,1),(57,1),(96,1)}
        36:{1,3,5,6}:{(21,1),(27,1),(56,1),(58,1),(96,1)}
        37:{2,5,6}:{(21,1),(28,1),(57,1)}
        38:{3,4,6}:{(22,1),(30,1),(59,1),(60,1),(99,1)}
        39:{1,5,6}:{(22,1),(31,1),(59,1)}
        40:{2,3,5,6}:{(22,1),(32,1),(60,1),(61,1),(99,1)}
        41:{3,4,7}:{(23,1),(53,1),(62,1),(63,1),(103,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(31,1),(54,1),(62,1),(64,1),(103,1)}
        43:{2,3,5,7}:{(23,1),(25,1),(28,1),(55,1),(63,1),(64,1),(103,1)}
        44:{1,2,6,7}:{(24,1),(25,1),(64,1),(95,1),(98,1)}
        45:{1,4,5,7}:{(26,1),(27,1),(56,1),(62,1),(90,1)}
        46:{2,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(65,1),(91,1)}
        47:{1,2,5,7}:{(27,1),(28,1),(29,1),(58,1),(67,1),(124,1)}
        48:{2,3,6,7}:{(29,1),(67,1),(96,1),(103,1),(127,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(59,1),(62,1),(68,1),(90,1)}
        50:{2,4,5,7}:{(30,1),(32,1),(60,1),(63,1),(91,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(61,1),(70,1),(125,1)}
        52:{1,3,6,7}:{(33,1),(70,1),(99,1),(103,1),(128,1)}
        53:{3,4,6}:{(34,1),(41,1),(71,1),(72,1),(73,1),(113,1),(135,1)}
        54:{1,3,5,6}:{(34,1),(39,1),(42,1),(72,1),(74,1),(78,1),(108,1),(113,1),(114,1),(134,1),(136,1)}
        55:{2,3,5,6}:{(34,1),(37,1),(43,1),(73,1),(74,1),(75,1),(109,1),(113,1),(117,1),(133,1),(137,1)}
        56:{1,4,6}:{(35,1),(36,1),(45,1)}
        57:{2,4,6}:{(35,1),(37,1),(46,1),(75,1)}
        58:{1,2,5,6}:{(36,1),(37,1),(47,1),(76,1),(77,1),(136,1)}
        59:{1,4,6}:{(38,1),(39,1),(49,1),(78,1)}
        60:{2,4,6}:{(38,1),(40,1),(50,1)}
        61:{1,2,5,6}:{(39,1),(40,1),(51,1),(79,1),(80,1),(137,1)}
        62:{1,4,7}:{(41,1),(42,1),(72,1)}
        63:{2,4,7}:{(41,1),(43,1),(73,1)}
        64:{1,2,5,7}:{(42,1),(43,1),(44,1),(74,1),(83,1)}
        65:{2,3,5,7}:{(46,1),(75,1),(82,1),(84,1),(85,1),(109,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(76,1),(83,1),(84,1),(85,1),(86,1),(110,1),(116,1),(122,1),(136,1)}
        67:{2,3,5,7}:{(47,1),(48,1),(77,1),(85,1),(86,1),(133,1)}
        68:{1,3,5,7}:{(49,1),(78,1),(81,1),(87,1),(88,1),(108,1)}
        69:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(79,1),(83,1),(87,1),(88,1),(89,1),(110,1),(119,1),(123,1),(137,1)}
        70:{1,3,5,7}:{(51,1),(52,1),(80,1),(88,1),(89,1),(134,1)}
        71:{3,4,5}:{(53,1),(90,1),(91,1),(126,1),(130,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(62,1),(90,1),(139,1)}
        73:{2,4,6}:{(53,1),(55,1),(63,1),(91,1),(138,1)}
        74:{1,2,5,6}:{(54,1),(55,1),(64,1),(94,1),(95,1),(98,1),(124,1),(125,1)}
        75:{2,3,6}:{(57,1),(65,1),(95,1),(96,1)}
        76:{1,2,4,6}:{(56,1),(57,1),(58,1),(66,1),(95,1),(96,1),(97,1),(129,1)}
        77:{2,3,5,6}:{(58,1),(67,1),(96,1),(97,1),(130,1)}
        78:{1,3,6}:{(59,1),(68,1),(98,1),(99,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(69,1),(98,1),(99,1),(100,1),(131,1)}
        80:{1,3,5,6}:{(61,1),(70,1),(99,1),(100,1),(132,1)}
        81:{1,3,4,7}:{(62,1),(68,1),(92,1),(101,1),(103,1),(107,1)}
        82:{2,3,4,7}:{(63,1),(65,1),(93,1),(102,1),(103,1),(105,1)}
        83:{1,2,4,7}:{(62,1),(63,1),(64,1),(94,1),(103,1)}
        84:{1,2,5,7}:{(65,1),(95,1),(102,1),(104,1),(125,1)}
        85:{3,5,7}:{(66,1),(96,1),(103,1),(105,1),(126,1),(130,1)}
        86:{2,4,7}:{(67,1),(97,1),(105,1),(138,1)}
        87:{1,2,5,7}:{(68,1),(98,1),(101,1),(106,1),(124,1)}
        88:{3,5,7}:{(69,1),(99,1),(103,1),(107,1),(126,1),(132,1)}
        89:{1,4,7}:{(70,1),(100,1),(107,1),(139,1)}
        90:{1,4,5}:{(71,1),(72,1),(108,1),(136,1)}
        91:{2,4,5}:{(71,1),(73,1),(109,1),(137,1)}
        92:{1,3,4,6}:{(72,1),(78,1),(81,1),(108,1),(111,1),(113,1),(118,1),(135,1)}
        93:{2,3,4,6}:{(73,1),(75,1),(82,1),(109,1),(112,1),(113,1),(115,1),(135,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(83,1),(110,1),(113,1)}
        95:{1,2,6}:{(75,1),(84,1),(114,1)}
        96:{3,6}:{(76,1),(85,1)}
        97:{2,4,6}:{(77,1),(86,1),(115,1),(116,1)}
        98:{1,2,6}:{(78,1),(87,1),(117,1)}
        99:{3,6}:{(79,1),(88,1)}
       100:{1,4,6}:{(80,1),(89,1),(118,1),(119,1)}
       101:{1,2,4,7}:{(81,1),(87,1),(111,1),(120,1),(123,1)}
       102:{1,2,4,7}:{(82,1),(84,1),(112,1),(121,1),(122,1)}
       103:{3,7}:{(83,1),(113,1)}
       104:{1,3,5,7}:{(84,1),(85,1),(114,1),(121,1),(122,1),(134,1),(136,1)}
       105:{3,4,7}:{(85,1),(86,1),(115,1),(122,1),(135,1)}
       106:{2,3,5,7}:{(87,1),(88,1),(117,1),(120,1),(123,1),(133,1),(137,1)}
       107:{3,4,7}:{(88,1),(89,1),(118,1),(123,1),(135,1)}
       108:{1,3,5}:{(90,1),(92,1),(124,1),(126,1),(132,1)}
       109:{2,3,5}:{(91,1),(93,1),(125,1),(126,1),(130,1)}
       110:{1,2,4,5}:{(90,1),(91,1),(94,1),(124,1),(125,1),(126,1),(138,1),(139,1)}
       111:{1,2,4,6}:{(92,1),(98,1),(101,1),(124,1),(127,1),(131,1),(138,1)}
       112:{1,2,4,6}:{(93,1),(95,1),(102,1),(125,1),(128,1),(129,1),(139,1)}
       113:{3,6}:{(94,1),(103,1),(126,1)}
       114:{1,3,6}:{(95,1),(96,1),(104,1),(129,1)}
       115:{3,4,6}:{(96,1),(97,1),(105,1),(129,1),(130,1)}
       116:{2,4,5}:{(97,1),(130,1)}
       117:{2,3,6}:{(98,1),(99,1),(106,1),(131,1)}
       118:{3,4,6}:{(99,1),(100,1),(107,1),(131,1),(132,1)}
       119:{1,4,5}:{(100,1),(132,1)}
       120:{2,3,7}:{(101,1),(103,1),(127,1)}
       121:{1,3,7}:{(102,1),(103,1),(128,1)}
       122:{1,4,7}:{(104,1),(105,1),(129,1),(139,1)}
       123:{2,4,7}:{(106,1),(107,1),(131,1),(138,1)}
       124:{1,2,5}:{(108,1),(111,1),(133,1),(137,1)}
       125:{1,2,5}:{(109,1),(112,1),(134,1),(136,1)}
       126:{3,5}:{(110,1),(113,1),(135,1)}
       127:{2,3,6}:{(111,1),(113,1),(120,1),(133,1)}
       128:{1,3,6}:{(112,1),(113,1),(121,1),(134,1)}
       129:{1,4,6}:{(114,1),(115,1),(122,1),(136,1)}
       130:{3,5}:{(115,1),(116,1),(136,1)}
       131:{2,4,6}:{(117,1),(118,1),(123,1),(137,1)}
       132:{3,5}:{(118,1),(119,1),(137,1)}
       133:{2,3,5}:{(124,1),(126,1),(127,1),(138,1)}
       134:{1,3,5}:{(125,1),(126,1),(128,1),(139,1)}
       135:{3,4}:{(126,1),(138,1),(139,1)}
       136:{1,5}:{(129,1),(130,1)}
       137:{2,5}:{(131,1),(132,1)}
       138:{2,4}:{(133,1),(135,1)}
       139:{1,4}:{(134,1),(135,1)}

1332 :   0:{1,2,3,5,6}:{(1,1),(2,1),(7,1),(10,1),(35,1),(37,1),(39,1),(42,1),(45,1),(78,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(50,1),(52,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(18,1),(24,1),(28,1),(57,1),(58,1),(60,1)}
         3:{3,4,6}:{(1,1),(10,1),(11,1),(42,1)}
         4:{1,2,4,5}:{(1,1),(10,1),(31,1),(32,1),(35,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(71,1),(73,1)}
         6:{1,2,3,6,7}:{(2,1),(14,1),(42,1),(78,1),(79,1),(80,1)}
         7:{1,2,3,6}:{(15,1),(17,1),(18,1),(83,1)}
         8:{2,3,4,6}:{(3,1),(17,1),(19,1),(20,1),(46,1),(50,1),(59,1),(83,1),(85,1)}
         9:{1,3,4,6}:{(3,1),(17,1),(21,1),(22,1),(46,1),(52,1),(61,1),(83,1),(85,1)}
        10:{3,5}:{(3,1),(4,1)}
        11:{3,4,7}:{(3,1),(5,1),(24,1)}
        12:{1,2,4,5,6}:{(4,1),(23,1),(26,1),(27,1),(50,1),(52,1),(56,1),(90,1),(92,1),(94,1)}
        13:{1,2,4,5,7}:{(4,1),(5,1),(24,1),(27,1),(28,1),(51,1),(53,1),(57,1),(64,1)}
        14:{1,2,4,6,7}:{(5,1),(6,1),(25,1),(27,1),(28,1),(89,1),(91,1)}
        15:{1,2,3,5}:{(7,1),(29,1),(35,1),(66,1)}
        16:{3,4,5}:{(10,1),(31,1),(32,1),(33,1),(66,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(9,1),(29,1),(35,1),(36,1),(78,1)}
        18:{1,2,3,7}:{(7,1),(36,1),(97,1)}
        19:{2,3,5}:{(8,1),(10,1),(31,1),(35,1),(66,1),(99,1)}
        20:{2,3,4,7}:{(8,1),(11,1),(36,1),(38,1),(67,1),(71,1),(97,1)}
        21:{1,3,5}:{(9,1),(10,1),(32,1),(35,1),(66,1),(99,1)}
        22:{1,3,4,7}:{(9,1),(11,1),(36,1),(40,1),(67,1),(73,1),(97,1)}
        23:{3,5,6}:{(10,1),(12,1),(33,1),(41,1),(42,1)}
        24:{3,5,7}:{(10,1),(11,1),(13,1),(42,1)}
        25:{3,4,6,7}:{(11,1),(14,1),(42,1),(43,1),(82,1)}
        26:{1,2,4,5,7}:{(12,1),(41,1),(44,1),(71,1),(73,1),(77,1),(102,1),(103,1),(104,1)}
        27:{1,2,4,6}:{(13,1),(42,1),(45,1),(72,1),(74,1),(78,1),(82,1)}
        28:{1,2,5,7}:{(14,1),(43,1),(45,1),(102,1),(103,1)}
        29:{1,2,4}:{(15,1),(46,1)}
        30:{1,2,3,5,7}:{(15,1),(18,1),(48,1),(49,1),(57,1),(84,1),(88,1)}
        31:{2,4,5}:{(16,1),(19,1),(50,1),(107,1)}
        32:{1,4,5}:{(16,1),(21,1),(52,1),(107,1)}
        33:{3,4,6}:{(16,1),(23,1),(50,1),(52,1),(54,1),(83,1)}
        34:{3,4,5,7}:{(16,1),(24,1),(51,1),(53,1),(54,1),(55,1),(64,1),(84,1),(93,1),(107,1),(111,1)}
        35:{1,2,5}:{(17,1),(19,1),(21,1)}
        36:{1,2,4,7}:{(17,1),(18,1),(20,1),(22,1),(57,1)}
        37:{2,3,5,6}:{(19,1),(23,1),(50,1),(56,1),(58,1),(59,1),(83,1),(90,1),(106,1)}
        38:{2,3,5,7}:{(19,1),(20,1),(24,1),(51,1),(57,1),(59,1),(84,1)}
        39:{1,3,5,6}:{(21,1),(23,1),(52,1),(56,1),(60,1),(61,1),(83,1),(92,1),(106,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(24,1),(53,1),(57,1),(61,1),(84,1)}
        41:{3,5,7}:{(23,1),(26,1),(54,1),(62,1)}
        42:{3,6}:{(24,1),(27,1)}
        43:{3,5,7}:{(25,1),(28,1),(63,1),(64,1)}
        44:{1,2,4,6,7}:{(26,1),(27,1),(62,1),(65,1),(89,1),(91,1),(95,1),(96,1)}
        45:{1,2,5,6}:{(27,1),(28,1),(63,1),(90,1),(92,1)}
        46:{3,4}:{(29,1),(66,1)}
        47:{1,2,4,5}:{(29,1),(31,1),(32,1),(35,1),(66,1),(68,1)}
        48:{1,2,4,7}:{(29,1),(30,1),(67,1),(70,1)}
        49:{1,2,3,6}:{(30,1),(70,1),(78,1),(98,1)}
        50:{2,4,6}:{(31,1),(33,1),(37,1),(71,1),(110,1)}
        51:{2,4,5,7}:{(31,1),(34,1),(38,1),(71,1),(72,1),(102,1)}
        52:{1,4,6}:{(32,1),(33,1),(39,1),(73,1),(110,1)}
        53:{1,4,5,7}:{(32,1),(34,1),(40,1),(73,1),(74,1),(103,1)}
        54:{3,4,7}:{(33,1),(41,1),(71,1),(73,1),(97,1)}
        55:{3,4,6}:{(34,1),(42,1),(72,1),(74,1),(76,1),(82,1),(98,1),(110,1)}
        56:{1,2,5,6}:{(35,1),(37,1),(39,1),(68,1),(77,1),(78,1)}
        57:{1,2,5,7}:{(35,1),(36,1),(38,1),(40,1),(78,1)}
        58:{2,3,5,7}:{(37,1),(41,1),(71,1),(77,1),(79,1),(97,1),(102,1),(109,1)}
        59:{2,3,6}:{(38,1),(42,1),(72,1),(78,1),(98,1)}
        60:{1,3,5,7}:{(39,1),(41,1),(73,1),(77,1),(80,1),(97,1),(103,1),(109,1)}
        61:{1,3,6}:{(40,1),(42,1),(74,1),(78,1),(98,1)}
        62:{3,6,7}:{(41,1),(42,1),(44,1)}
        63:{3,5,6}:{(42,1),(43,1),(45,1),(82,1)}
        64:{4,5,7}:{(43,1),(82,1)}
        65:{1,2,5,6,7}:{(44,1),(45,1),(81,1),(102,1),(103,1)}
        66:{3,5}:{(46,1),(47,1),(83,1)}
        67:{3,4,7}:{(46,1),(48,1),(84,1),(85,1),(111,1)}
        68:{1,2,4,6}:{(47,1),(50,1),(52,1),(56,1),(83,1),(86,1)}
        69:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(53,1),(57,1),(84,1),(86,1),(87,1),(88,1),(107,1),(108,1),(111,1)}
        70:{1,2,4,6}:{(48,1),(49,1),(85,1),(88,1)}
        71:{2,4,7}:{(50,1),(54,1),(58,1),(111,1)}
        72:{2,4,6}:{(51,1),(55,1),(59,1),(90,1)}
        73:{1,4,7}:{(52,1),(54,1),(60,1),(111,1)}
        74:{1,4,6}:{(53,1),(55,1),(61,1),(92,1)}
        75:{3,4,6,7}:{(54,1),(55,1),(62,1),(89,1),(91,1),(93,1),(96,1),(105,1),(111,1)}
        76:{3,5,6}:{(55,1),(90,1),(92,1),(93,1),(94,1)}
        77:{1,2,5,7}:{(56,1),(58,1),(60,1),(86,1),(95,1)}
        78:{1,2,6}:{(57,1),(59,1),(61,1)}
        79:{2,3,6,7}:{(58,1),(59,1),(62,1),(89,1),(95,1),(105,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(62,1),(91,1),(95,1),(105,1)}
        81:{3,5,6,7}:{(62,1),(63,1),(65,1),(93,1),(96,1)}
        82:{4,6}:{(63,1),(64,1)}
        83:{3,6}:{(66,1),(68,1),(97,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(97,1),(98,1),(99,1)}
        85:{3,4,6}:{(67,1),(70,1),(98,1),(99,1),(110,1)}
        86:{1,2,4,7}:{(68,1),(71,1),(73,1),(77,1),(97,1)}
        87:{1,2,4,6}:{(69,1),(72,1),(74,1),(78,1),(98,1),(101,1),(110,1)}
        88:{1,2,5}:{(70,1),(99,1)}
        89:{2,4,6,7}:{(71,1),(72,1),(75,1),(79,1),(102,1)}
        90:{2,5,6}:{(72,1),(76,1),(102,1)}
        91:{1,4,6,7}:{(73,1),(74,1),(75,1),(80,1),(103,1)}
        92:{1,5,6}:{(74,1),(76,1),(103,1)}
        93:{3,5,7}:{(75,1),(76,1),(102,1),(103,1),(104,1)}
        94:{4,5,6}:{(76,1),(82,1),(104,1),(110,1)}
        95:{1,2,6,7}:{(77,1),(78,1),(79,1),(80,1)}
        96:{4,6,7}:{(81,1),(82,1),(104,1)}
        97:{3,7}:{(83,1),(86,1)}
        98:{3,6}:{(84,1),(87,1)}
        99:{3,5}:{(85,1),(88,1),(107,1)}
       100:{1,2,4,6,7}:{(86,1),(87,1),(89,1),(91,1),(95,1),(105,1),(108,1),(111,1)}
       101:{1,2,5,6}:{(87,1),(88,1),(90,1),(92,1),(106,1),(108,1)}
       102:{2,5,7}:{(89,1),(90,1),(93,1)}
       103:{1,5,7}:{(91,1),(92,1),(93,1)}
       104:{4,5,7}:{(93,1),(94,1),(96,1),(111,1)}
       105:{3,6,7}:{(97,1),(98,1),(100,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(101,1),(109,1),(110,1)}
       107:{4,5}:{(99,1),(110,1)}
       108:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(109,1)}
       109:{3,5,7}:{(105,1),(106,1),(108,1),(111,1)}
       110:{4,6}:{(106,1),(107,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1333 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(20,1),(51,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(32,1),(66,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(46,1),(81,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(18,1),(23,1),(45,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(19,1),(23,1),(44,1),(83,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(61,1),(101,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(60,1),(100,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(30,1),(31,1),(103,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(41,1),(81,1),(150,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(21,1),(23,1),(37,1),(46,1)}
        13:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(23,1),(38,1),(46,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(23,1),(122,1)}
        15:{1,2,3,5,6,7}:{(8,1),(23,1),(24,1),(44,1),(45,1),(47,1),(50,1),(70,1),(82,1),(83,1),(84,1),(125,1),(157,1),(169,1),(171,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(25,1),(101,1),(158,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(26,1),(100,1),(161,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(25,1),(30,1),(32,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(26,1),(31,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(32,1),(60,1),(61,1)}
        21:{1,2,4,6,7}:{(12,1),(30,1),(33,1),(52,1),(60,1)}
        22:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(53,1),(61,1)}
        23:{3,6,7}:{(14,1),(32,1),(142,1)}
        24:{1,2,4,6,7}:{(15,1),(35,1),(36,1),(60,1),(61,1),(90,1),(100,1),(101,1),(173,1),(174,1)}
        25:{1,3,5,6}:{(16,1),(18,1),(37,1),(39,1),(41,1),(144,1)}
        26:{2,3,5,6}:{(17,1),(19,1),(38,1),(40,1),(41,1),(147,1)}
        27:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(39,1),(40,1),(41,1),(71,1),(72,1),(111,1),(122,1)}
        28:{1,3,4,5,7}:{(18,1),(37,1),(42,1),(46,1),(73,1),(80,1),(115,1),(121,1),(144,1)}
        29:{2,3,4,5,7}:{(19,1),(38,1),(43,1),(46,1),(73,1),(79,1),(118,1),(121,1),(147,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(39,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(40,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(41,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(68,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(69,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(50,1),(81,1),(110,1),(157,1),(172,1)}
        36:{1,2,4,5,7}:{(24,1),(50,1),(51,1),(79,1),(80,1),(82,1),(111,1)}
        37:{1,3,4,6}:{(25,1),(28,1),(52,1),(56,1),(101,1),(142,1)}
        38:{2,3,4,6}:{(26,1),(29,1),(53,1),(56,1),(100,1),(142,1)}
        39:{1,2,5,6}:{(25,1),(30,1),(52,1),(54,1),(127,1)}
        40:{1,2,5,6}:{(26,1),(31,1),(53,1),(55,1),(130,1)}
        41:{3,5,6}:{(27,1),(32,1),(56,1),(132,1),(142,1)}
        42:{1,2,4,5,7}:{(28,1),(30,1),(52,1),(57,1),(60,1),(91,1),(94,1),(127,1)}
        43:{1,2,4,5,7}:{(29,1),(31,1),(53,1),(58,1),(61,1),(92,1),(96,1),(130,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(54,1),(60,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(55,1),(61,1)}
        46:{3,4,7}:{(32,1),(56,1),(60,1),(61,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(59,1),(63,1),(86,1),(88,1),(142,1),(166,1),(167,1)}
        48:{2,3,4,6,7}:{(33,1),(35,1),(60,1),(63,1),(64,1),(87,1),(98,1),(100,1),(129,1),(142,1),(167,1),(174,1)}
        49:{1,3,4,6,7}:{(34,1),(35,1),(61,1),(63,1),(65,1),(89,1),(98,1),(101,1),(126,1),(142,1),(166,1),(173,1)}
        50:{3,5,7}:{(35,1),(36,1),(66,1),(132,1)}
        51:{1,2,4,5,6}:{(36,1),(66,1),(100,1),(101,1),(103,1)}
        52:{1,2,4,6}:{(37,1),(39,1),(42,1),(68,1),(71,1)}
        53:{1,2,4,6}:{(38,1),(40,1),(43,1),(69,1),(72,1)}
        54:{2,3,5,6}:{(39,1),(41,1),(44,1),(68,1),(71,1),(107,1)}
        55:{1,3,5,6}:{(40,1),(41,1),(45,1),(69,1),(72,1),(109,1)}
        56:{3,4,6}:{(41,1),(46,1),(71,1),(72,1),(73,1)}
        57:{2,3,5,7}:{(42,1),(68,1),(75,1),(107,1),(121,1)}
        58:{1,3,5,7}:{(43,1),(69,1),(77,1),(109,1),(121,1)}
        59:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(70,1),(78,1),(82,1),(121,1),(169,1),(171,1)}
        60:{2,4,7}:{(44,1),(46,1),(71,1)}
        61:{1,4,7}:{(45,1),(46,1),(72,1)}
        62:{3,4,5,7}:{(46,1),(50,1),(73,1),(79,1),(80,1),(81,1),(121,1),(150,1),(172,1)}
        63:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(78,1),(82,1),(106,1),(108,1),(122,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(79,1),(82,1),(83,1),(107,1),(121,1),(147,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(80,1),(82,1),(84,1),(109,1),(121,1),(144,1)}
        66:{3,5,6}:{(50,1),(51,1),(81,1)}
        67:{1,2,4,5,6,7}:{(51,1),(85,1),(123,1),(124,1),(125,1),(152,1)}
        68:{2,3,6}:{(52,1),(57,1),(142,1)}
        69:{1,3,6}:{(53,1),(58,1),(142,1)}
        70:{1,2,3,5,6}:{(54,1),(55,1),(59,1),(86,1),(88,1),(90,1),(103,1),(127,1),(130,1),(132,1),(142,1),(159,1),(162,1)}
        71:{2,4,6}:{(54,1),(56,1),(60,1),(91,1)}
        72:{1,4,6}:{(55,1),(56,1),(61,1),(92,1)}
        73:{3,4,5}:{(56,1),(91,1),(92,1),(132,1)}
        74:{1,2,3,5,7}:{(57,1),(86,1),(94,1),(127,1),(136,1)}
        75:{2,3,4,7}:{(57,1),(60,1),(87,1),(94,1),(98,1)}
        76:{1,2,3,5,7}:{(58,1),(88,1),(96,1),(130,1),(139,1)}
        77:{1,3,4,7}:{(58,1),(61,1),(89,1),(96,1),(98,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(61,1),(90,1),(98,1),(173,1),(174,1)}
        79:{2,4,5,7}:{(60,1),(62,1),(64,1),(91,1),(100,1),(161,1),(174,1)}
        80:{1,4,5,7}:{(61,1),(62,1),(65,1),(92,1),(101,1),(158,1),(173,1)}
        81:{3,4,6}:{(62,1),(66,1),(100,1),(101,1),(142,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(65,1),(103,1),(127,1),(130,1)}
        83:{2,3,5,6}:{(64,1),(66,1),(100,1),(103,1),(142,1)}
        84:{1,3,5,6}:{(65,1),(66,1),(101,1),(103,1),(142,1)}
        85:{3,5,6,7}:{(66,1),(67,1),(102,1),(165,1)}
        86:{1,2,3,6}:{(68,1),(74,1),(106,1),(153,1)}
        87:{2,3,4,6}:{(68,1),(71,1),(75,1),(106,1),(107,1),(110,1)}
        88:{1,2,3,6}:{(69,1),(76,1),(108,1),(155,1)}
        89:{1,3,4,6}:{(69,1),(72,1),(77,1),(108,1),(109,1),(110,1)}
        90:{1,2,4,6}:{(70,1),(71,1),(72,1),(78,1),(110,1),(111,1),(168,1),(170,1)}
        91:{2,4,5}:{(71,1),(73,1),(107,1)}
        92:{1,4,5}:{(72,1),(73,1),(109,1)}
        93:{3,4,5,6}:{(73,1),(81,1),(112,1),(113,1),(114,1),(151,1)}
        94:{1,2,4,7}:{(74,1),(75,1),(106,1),(115,1)}
        95:{2,3,4,5,7}:{(75,1),(79,1),(107,1),(116,1),(117,1),(121,1),(146,1),(150,1),(172,1)}
        96:{1,2,4,7}:{(76,1),(77,1),(108,1),(118,1)}
        97:{1,3,4,5,7}:{(77,1),(80,1),(109,1),(119,1),(120,1),(121,1),(149,1),(150,1),(172,1)}
        98:{3,4,7}:{(78,1),(110,1),(121,1)}
        99:{1,2,4,5,7}:{(78,1),(79,1),(80,1),(82,1),(111,1),(121,1),(122,1)}
       100:{2,4,6}:{(79,1),(81,1),(83,1)}
       101:{1,4,6}:{(80,1),(81,1),(84,1)}
       102:{3,4,6,7}:{(81,1),(85,1),(114,1),(123,1),(124,1),(157,1),(172,1)}
       103:{1,2,5,6}:{(82,1),(83,1),(84,1),(122,1)}
       104:{2,3,5,6,7}:{(83,1),(85,1),(123,1),(125,1),(146,1),(157,1),(171,1)}
       105:{1,3,5,6,7}:{(84,1),(85,1),(124,1),(125,1),(149,1),(157,1),(169,1)}
       106:{1,2,4,6}:{(86,1),(87,1),(94,1),(126,1),(127,1)}
       107:{2,3,5}:{(87,1),(91,1),(127,1),(132,1)}
       108:{1,2,4,6}:{(88,1),(89,1),(96,1),(129,1),(130,1)}
       109:{1,3,5}:{(89,1),(92,1),(130,1),(132,1)}
       110:{3,4,6}:{(90,1),(98,1),(132,1),(142,1)}
       111:{1,2,4,5}:{(90,1),(91,1),(92,1),(127,1),(130,1),(132,1),(158,1),(161,1)}
       112:{2,4,5,6}:{(91,1),(93,1),(100,1),(128,1),(134,1)}
       113:{1,4,5,6}:{(92,1),(93,1),(101,1),(131,1),(135,1)}
       114:{3,4,5,7}:{(93,1),(102,1),(134,1),(135,1),(165,1)}
       115:{1,3,4,7}:{(94,1),(98,1),(126,1),(136,1),(173,1)}
       116:{1,2,4,5,7}:{(94,1),(95,1),(127,1),(136,1),(137,1),(158,1),(160,1),(173,1)}
       117:{2,3,4,6}:{(95,1),(100,1),(128,1),(137,1),(142,1),(164,1)}
       118:{2,3,4,7}:{(96,1),(98,1),(129,1),(139,1),(174,1)}
       119:{1,2,4,5,7}:{(96,1),(97,1),(130,1),(139,1),(140,1),(161,1),(163,1),(174,1)}
       120:{1,3,4,6}:{(97,1),(101,1),(131,1),(140,1),(142,1),(164,1)}
       121:{3,5,7}:{(98,1),(99,1),(132,1),(142,1)}
       122:{1,2,4,6}:{(99,1),(100,1),(101,1),(103,1),(142,1)}
       123:{2,4,6,7}:{(100,1),(102,1),(104,1),(134,1),(174,1)}
       124:{1,4,6,7}:{(101,1),(102,1),(105,1),(135,1),(173,1)}
       125:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(143,1),(160,1),(163,1)}
       126:{1,3,4,6}:{(106,1),(110,1),(115,1),(144,1),(153,1),(168,1)}
       127:{1,2,5}:{(106,1),(107,1),(144,1)}
       128:{2,3,5,6}:{(107,1),(112,1),(117,1),(145,1),(146,1),(151,1)}
       129:{2,3,4,6}:{(108,1),(110,1),(118,1),(147,1),(155,1),(170,1)}
       130:{1,2,5}:{(108,1),(109,1),(147,1)}
       131:{1,3,5,6}:{(109,1),(113,1),(120,1),(148,1),(149,1),(151,1)}
       132:{3,5}:{(110,1),(111,1)}
       133:{1,2,4,5,6}:{(111,1),(112,1),(113,1),(122,1),(145,1),(148,1),(151,1),(152,1),(168,1),(170,1)}
       134:{2,4,5,7}:{(112,1),(114,1),(123,1),(146,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(124,1),(149,1)}
       136:{1,3,5,7}:{(115,1),(116,1),(121,1),(144,1),(153,1)}
       137:{1,2,4,6}:{(116,1),(117,1),(145,1),(153,1),(168,1)}
       138:{2,3,4,6,7}:{(117,1),(123,1),(146,1),(154,1),(157,1),(172,1)}
       139:{2,3,5,7}:{(118,1),(119,1),(121,1),(147,1),(155,1)}
       140:{1,2,4,6}:{(119,1),(120,1),(148,1),(155,1),(170,1)}
       141:{1,3,4,6,7}:{(120,1),(124,1),(149,1),(156,1),(157,1),(172,1)}
       142:{3,6}:{(121,1),(122,1)}
       143:{1,2,4,6,7}:{(122,1),(123,1),(124,1),(125,1),(152,1),(157,1)}
       144:{1,3,5}:{(126,1),(127,1),(132,1),(158,1)}
       145:{1,2,5,6}:{(127,1),(128,1),(137,1),(159,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(134,1),(138,1),(160,1),(165,1)}
       147:{2,3,5}:{(129,1),(130,1),(132,1),(161,1)}
       148:{1,2,5,6}:{(130,1),(131,1),(140,1),(162,1),(163,1)}
       149:{1,3,5,7}:{(131,1),(135,1),(141,1),(163,1),(165,1)}
       150:{3,4,5}:{(132,1),(158,1),(161,1),(164,1)}
       151:{3,5,6}:{(132,1),(133,1),(142,1),(164,1),(165,1)}
       152:{1,2,4,5,7}:{(133,1),(134,1),(135,1),(143,1),(160,1),(163,1),(165,1),(173,1),(174,1)}
       153:{1,3,6}:{(136,1),(137,1),(142,1)}
       154:{1,2,4,6,7}:{(137,1),(138,1),(160,1),(166,1),(173,1)}
       155:{2,3,6}:{(139,1),(140,1),(142,1)}
       156:{1,2,4,6,7}:{(140,1),(141,1),(163,1),(167,1),(174,1)}
       157:{3,6,7}:{(142,1),(143,1),(165,1)}
       158:{1,4,5}:{(144,1),(150,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(151,1),(153,1),(168,1),(169,1)}
       160:{1,2,5,7}:{(145,1),(146,1),(154,1),(169,1)}
       161:{2,4,5}:{(147,1),(150,1),(170,1)}
       162:{2,3,5,6}:{(147,1),(148,1),(151,1),(155,1),(170,1),(171,1)}
       163:{1,2,5,7}:{(148,1),(149,1),(156,1),(171,1)}
       164:{3,4,6}:{(150,1),(151,1),(168,1),(170,1),(172,1)}
       165:{3,5,7}:{(151,1),(152,1),(157,1),(172,1)}
       166:{1,3,6,7}:{(153,1),(154,1),(157,1),(169,1)}
       167:{2,3,6,7}:{(155,1),(156,1),(157,1),(171,1)}
       168:{1,4,6}:{(158,1),(159,1),(164,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(165,1),(166,1),(173,1)}
       170:{2,4,6}:{(161,1),(162,1),(164,1),(174,1)}
       171:{2,3,5,7}:{(162,1),(163,1),(165,1),(167,1),(174,1)}
       172:{3,4,7}:{(164,1),(165,1),(173,1),(174,1)}
       173:{1,4,7}:{(168,1),(169,1),(172,1)}
       174:{2,4,7}:{(170,1),(171,1),(172,1)}

1334 :   0:{1,4,5,6,7}:{(1,1),(12,1),(163,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(182,1)}
         2:{1,3,4,5,7}:{(7,1),(8,1),(10,1),(57,1),(72,1),(103,1),(111,1),(114,1),(119,1),(122,1)}
         3:{1,3,4,6,7}:{(7,1),(10,1),(11,1),(12,1),(38,1),(72,1),(75,1)}
         4:{3,4,6,7}:{(1,1),(9,1),(12,1),(13,1),(38,1),(165,1)}
         5:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(14,1),(38,1),(115,1)}
         6:{2,5,6,7}:{(1,1),(13,1),(197,1)}
         7:{1,3,4,6}:{(2,1),(16,1),(17,1),(86,1),(141,1),(146,1),(148,1)}
         8:{1,2,4,5,7}:{(2,1),(17,1),(18,1),(21,1),(41,1),(52,1),(83,1),(87,1)}
         9:{3,4,5,7}:{(4,1),(15,1),(19,1),(20,1),(51,1)}
        10:{1,3,5,7}:{(3,1),(16,1),(19,1),(21,1),(51,1),(99,1)}
        11:{1,2,4,6,7}:{(3,1),(17,1),(21,1),(22,1),(52,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(19,1),(141,1)}
        13:{2,4,6,7}:{(4,1),(6,1),(20,1),(23,1),(184,1)}
        14:{1,2,5,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(94,1),(99,1)}
        15:{3,4,5,6}:{(9,1),(27,1),(28,1),(63,1),(153,1),(165,1)}
        16:{1,3,5,6}:{(7,1),(10,1),(27,1),(29,1),(63,1),(103,1),(125,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(29,1),(30,1),(64,1)}
        18:{2,3,5,7}:{(8,1),(30,1),(31,1),(65,1),(119,1)}
        19:{1,4,5,7}:{(9,1),(10,1),(12,1),(27,1)}
        20:{2,4,5,7}:{(9,1),(13,1),(28,1),(33,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(29,1),(35,1)}
        22:{2,3,6,7}:{(11,1),(30,1),(35,1),(38,1)}
        23:{2,3,6,7}:{(13,1),(33,1),(37,1),(38,1),(168,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(34,1),(37,1),(38,1),(39,1),(75,1),(120,1)}
        25:{2,3,5,6,7}:{(14,1),(35,1),(38,1),(39,1),(74,1),(76,1)}
        26:{1,2,3,5,7}:{(18,1),(40,1),(41,1),(80,1),(83,1)}
        27:{1,4,5,6}:{(15,1),(16,1),(19,1),(128,1),(141,1)}
        28:{2,4,5,6}:{(15,1),(20,1),(42,1),(173,1),(184,1)}
        29:{1,2,5,6}:{(16,1),(17,1),(21,1),(44,1),(83,1)}
        30:{2,3,6}:{(17,1),(18,1),(146,1)}
        31:{2,3,4,7}:{(18,1),(41,1),(45,1),(52,1),(92,1)}
        32:{1,2,3,6,7}:{(22,1),(40,1),(48,1),(49,1),(54,1),(130,1),(146,1),(186,1),(187,1)}
        33:{2,3,5,7}:{(20,1),(23,1),(42,1),(47,1),(50,1),(51,1)}
        34:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(24,1),(43,1),(50,1),(51,1),(52,1),(56,1),(95,1),(99,1)}
        35:{2,3,5,7}:{(21,1),(22,1),(44,1),(51,1),(52,1)}
        36:{2,3,4,6,7}:{(22,1),(45,1),(49,1),(52,1),(53,1),(55,1),(92,1),(97,1),(146,1)}
        37:{1,2,6,7}:{(23,1),(50,1),(54,1),(186,1)}
        38:{3,6,7}:{(24,1),(51,1),(146,1)}
        39:{2,4,6,7}:{(25,1),(52,1),(55,1),(56,1),(97,1)}
        40:{1,2,3,6}:{(26,1),(30,1),(60,1),(104,1)}
        41:{1,2,4,7}:{(26,1),(31,1),(57,1),(60,1)}
        42:{2,3,5,6}:{(28,1),(33,1),(58,1),(62,1),(63,1),(157,1),(168,1)}
        43:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(34,1),(62,1),(63,1),(64,1),(77,1),(107,1),(110,1),(120,1),(125,1)}
        44:{2,3,5,6}:{(29,1),(30,1),(35,1),(63,1),(64,1),(65,1)}
        45:{2,3,4,6}:{(30,1),(31,1),(60,1),(64,1),(65,1),(106,1)}
        46:{2,3,4,5,7}:{(31,1),(61,1),(65,1),(66,1),(73,1),(113,1),(119,1),(153,1),(164,1),(193,1)}
        47:{2,3,4,7}:{(33,1),(58,1),(68,1),(72,1)}
        48:{1,2,3,5,7}:{(32,1),(35,1),(59,1),(69,1),(70,1),(71,1),(116,1),(119,1),(155,1),(167,1),(195,1)}
        49:{1,2,4,6,7}:{(32,1),(36,1),(60,1),(67,1),(69,1),(70,1),(75,1),(120,1),(199,1)}
        50:{1,2,5,7}:{(33,1),(37,1),(62,1),(68,1),(71,1)}
        51:{3,5,7}:{(34,1),(38,1),(63,1),(72,1)}
        52:{2,4,7}:{(35,1),(64,1),(72,1)}
        53:{2,3,5,7}:{(36,1),(65,1),(70,1),(73,1),(74,1),(76,1),(119,1)}
        54:{1,3,6,7}:{(37,1),(38,1),(71,1),(75,1),(169,1)}
        55:{3,4,6,7}:{(38,1),(39,1),(72,1),(75,1),(76,1),(123,1)}
        56:{2,4,5,7}:{(39,1),(76,1),(77,1)}
        57:{1,3,4,7}:{(41,1),(79,1),(80,1),(92,1),(176,1)}
        58:{2,3,4,6}:{(42,1),(47,1),(78,1),(81,1),(86,1)}
        59:{1,2,3,5,6}:{(40,1),(44,1),(48,1),(82,1),(83,1),(85,1),(94,1),(129,1),(131,1),(134,1),(146,1),(177,1),(178,1),(186,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(45,1),(79,1),(83,1)}
        61:{1,2,4,5,7}:{(41,1),(46,1),(80,1),(83,1),(84,1),(128,1),(136,1),(176,1)}
        62:{1,2,5,6}:{(42,1),(50,1),(81,1),(85,1),(177,1),(186,1)}
        63:{3,5,6}:{(43,1),(51,1),(86,1),(134,1),(146,1)}
        64:{2,4,6}:{(44,1),(52,1),(86,1),(87,1)}
        65:{2,3,5}:{(45,1),(83,1),(87,1),(134,1)}
        66:{2,3,4,6}:{(46,1),(84,1),(88,1),(97,1),(146,1),(175,1),(184,1)}
        67:{1,3,4,6,7}:{(49,1),(79,1),(90,1),(92,1),(130,1),(141,1),(146,1),(176,1),(185,1)}
        68:{1,2,4,7}:{(47,1),(50,1),(81,1),(91,1),(95,1)}
        69:{1,2,4,7}:{(48,1),(52,1),(82,1),(92,1),(95,1),(176,1),(203,1)}
        70:{1,2,5,7}:{(49,1),(53,1),(83,1),(90,1),(94,1),(99,1),(206,1)}
        71:{1,3,5,7}:{(50,1),(51,1),(54,1),(85,1),(91,1),(95,1),(99,1)}
        72:{3,4,7}:{(51,1),(52,1),(86,1),(95,1)}
        73:{2,4,5,7}:{(52,1),(53,1),(87,1),(96,1),(97,1)}
        74:{2,3,5,6}:{(53,1),(94,1),(97,1),(100,1),(146,1)}
        75:{1,4,6,7}:{(54,1),(55,1),(95,1),(99,1),(148,1)}
        76:{3,5,7}:{(55,1),(56,1),(99,1),(100,1)}
        77:{2,4,5,6}:{(56,1),(97,1),(100,1)}
        78:{2,3,4,5}:{(58,1),(102,1),(111,1),(157,1),(189,1)}
        79:{1,3,4,6}:{(57,1),(60,1),(103,1),(104,1),(106,1),(154,1)}
        80:{1,3,5,7}:{(57,1),(61,1),(103,1),(104,1),(119,1)}
        81:{1,2,4,6}:{(58,1),(62,1),(68,1),(102,1),(105,1),(110,1)}
        82:{1,2,4,6}:{(59,1),(64,1),(69,1),(106,1),(107,1),(110,1),(154,1),(191,1)}
        83:{1,2,5}:{(60,1),(65,1),(103,1)}
        84:{1,2,4,6}:{(61,1),(66,1),(104,1),(108,1),(154,1)}
        85:{1,3,5,6}:{(62,1),(63,1),(71,1),(105,1),(110,1),(125,1),(158,1),(169,1)}
        86:{3,4,6}:{(63,1),(64,1),(72,1),(110,1),(111,1)}
        87:{2,4,5}:{(64,1),(65,1),(111,1)}
        88:{2,3,5,6}:{(65,1),(66,1),(108,1),(112,1),(113,1),(159,1),(197,1)}
        89:{2,3,4,6,7}:{(66,1),(109,1),(113,1),(124,1),(170,1),(193,1),(199,1)}
        90:{1,3,5,7}:{(67,1),(70,1),(103,1),(114,1),(115,1),(119,1),(198,1)}
        91:{1,3,7}:{(68,1),(105,1)}
        92:{3,4,7}:{(69,1),(106,1),(119,1)}
        93:{1,2,4,5,7}:{(69,1),(70,1),(73,1),(107,1),(114,1),(119,1),(120,1),(122,1),(164,1),(167,1)}
        94:{1,2,5,6}:{(70,1),(74,1),(115,1),(120,1),(125,1),(197,1)}
        95:{1,4,7}:{(71,1),(72,1),(110,1)}
        96:{3,4,5,7}:{(72,1),(73,1),(76,1),(111,1),(119,1),(122,1),(123,1)}
        97:{2,4,6}:{(73,1),(74,1),(123,1)}
        98:{2,3,5,6,7}:{(74,1),(113,1),(121,1),(124,1),(126,1),(170,1)}
        99:{1,5,7}:{(75,1),(76,1),(125,1)}
       100:{3,5,6}:{(76,1),(77,1),(123,1),(125,1)}
       101:{2,4,5,6,7}:{(77,1),(124,1),(126,1)}
       102:{1,2,4,5}:{(78,1),(81,1),(127,1),(137,1),(172,1),(177,1)}
       103:{1,3,5}:{(79,1),(83,1),(128,1),(134,1)}
       104:{1,3,6}:{(80,1),(84,1),(146,1)}
       105:{1,3,6}:{(81,1),(91,1),(127,1)}
       106:{3,4,6}:{(82,1),(92,1),(134,1),(146,1)}
       107:{1,2,4,5}:{(82,1),(83,1),(87,1),(128,1),(134,1),(137,1),(173,1),(177,1)}
       108:{1,2,5,6}:{(83,1),(84,1),(88,1),(129,1),(136,1)}
       109:{1,2,4,6,7}:{(84,1),(89,1),(130,1),(136,1),(176,1)}
       110:{1,4,6}:{(85,1),(86,1),(95,1),(137,1)}
       111:{3,4,5}:{(86,1),(87,1),(134,1),(137,1)}
       112:{2,4,5,6}:{(87,1),(88,1),(97,1),(138,1),(139,1)}
       113:{2,3,5,7}:{(88,1),(89,1),(136,1),(139,1),(180,1),(206,1)}
       114:{1,4,5,7}:{(90,1),(128,1),(140,1),(141,1),(176,1)}
       115:{1,3,5,6}:{(90,1),(94,1),(141,1),(146,1),(182,1)}
       116:{1,2,3,7}:{(91,1),(131,1),(143,1),(209,1)}
       117:{2,3,4,7}:{(92,1),(132,1),(143,1),(144,1),(203,1),(209,1)}
       118:{1,3,4,7}:{(91,1),(92,1),(95,1),(133,1),(143,1),(145,1)}
       119:{3,5,7}:{(92,1),(93,1),(134,1),(146,1)}
       120:{1,2,4,6}:{(93,1),(94,1),(97,1),(141,1),(146,1),(148,1),(184,1),(186,1)}
       121:{1,2,5,6,7}:{(94,1),(98,1),(136,1),(142,1),(147,1),(150,1),(206,1)}
       122:{1,4,5,7}:{(95,1),(96,1),(99,1),(137,1),(145,1),(148,1)}
       123:{3,4,6}:{(96,1),(97,1),(100,1),(146,1),(148,1)}
       124:{2,4,6,7}:{(97,1),(98,1),(139,1),(149,1)}
       125:{1,5,6}:{(99,1),(100,1),(148,1)}
       126:{3,5,6,7}:{(100,1),(101,1),(149,1),(150,1)}
       127:{1,3,5}:{(102,1),(105,1),(152,1)}
       128:{1,4,5}:{(103,1),(153,1),(154,1)}
       129:{1,3,5,6}:{(103,1),(104,1),(108,1),(154,1),(155,1),(159,1)}
       130:{1,3,6,7}:{(104,1),(109,1),(155,1),(170,1)}
       131:{1,2,3,6}:{(105,1),(116,1),(151,1),(156,1),(207,1)}
       132:{2,3,4,6}:{(106,1),(117,1),(156,1),(157,1),(168,1),(189,1),(191,1),(207,1)}
       133:{1,3,4,6}:{(105,1),(106,1),(110,1),(118,1),(152,1),(156,1),(158,1),(169,1)}
       134:{3,5}:{(106,1),(107,1)}
       135:{1,2,4,5,6}:{(107,1),(108,1),(112,1),(120,1),(154,1),(159,1),(160,1),(161,1),(163,1),(191,1),(194,1),(197,1)}
       136:{1,2,5,7}:{(108,1),(109,1),(113,1),(155,1)}
       137:{1,4,5}:{(110,1),(111,1),(158,1)}
       138:{3,4,5,6}:{(111,1),(112,1),(123,1),(159,1),(161,1),(162,1)}
       139:{2,4,5,7}:{(112,1),(113,1),(124,1),(162,1)}
       140:{3,4,5,7}:{(114,1),(119,1),(153,1),(164,1),(165,1),(193,1),(198,1)}
       141:{1,4,6}:{(114,1),(115,1),(165,1)}
       142:{1,3,5,6,7}:{(115,1),(121,1),(155,1),(166,1),(170,1),(198,1)}
       143:{1,2,4,7}:{(116,1),(117,1),(118,1),(156,1),(167,1)}
       144:{2,3,5,7}:{(117,1),(119,1),(157,1),(164,1),(167,1),(168,1)}
       145:{1,3,5,7}:{(118,1),(119,1),(122,1),(158,1),(167,1),(169,1)}
       146:{3,6}:{(119,1),(120,1)}
       147:{1,2,4,6,7}:{(120,1),(121,1),(124,1),(160,1),(166,1),(170,1),(171,1),(199,1),(200,1)}
       148:{1,4,6}:{(122,1),(123,1),(125,1),(169,1)}
       149:{3,4,6,7}:{(123,1),(124,1),(126,1),(162,1),(170,1),(171,1)}
       150:{1,5,6,7}:{(125,1),(126,1),(171,1)}
       151:{1,2,3,5}:{(127,1),(131,1),(172,1),(177,1),(201,1)}
       152:{1,3,4}:{(127,1),(172,1)}
       153:{3,4,5}:{(128,1),(134,1),(173,1),(175,1)}
       154:{1,4,6}:{(128,1),(129,1),(175,1),(176,1)}
       155:{1,3,5,7}:{(129,1),(130,1),(136,1),(176,1),(180,1)}
       156:{1,2,4,6}:{(131,1),(132,1),(133,1),(143,1),(172,1),(177,1),(186,1)}
       157:{2,3,5}:{(132,1),(134,1),(173,1),(177,1)}
       158:{1,3,5}:{(133,1),(134,1),(137,1),(177,1)}
       159:{3,5,6}:{(134,1),(135,1),(146,1),(175,1),(180,1)}
       160:{1,2,4,5,7}:{(135,1),(136,1),(139,1),(147,1),(176,1),(180,1),(181,1),(183,1),(203,1),(205,1),(206,1)}
       161:{1,4,5,6}:{(137,1),(138,1),(148,1),(179,1),(181,1)}
       162:{3,4,5,7}:{(138,1),(139,1),(149,1),(180,1),(181,1)}
       163:{1,4,5,6}:{(141,1),(182,1),(183,1)}
       164:{2,4,5,7}:{(140,1),(144,1),(173,1),(184,1),(203,1),(206,1)}
       165:{3,4,6}:{(140,1),(141,1),(146,1),(182,1),(184,1)}
       166:{1,4,6,7}:{(141,1),(142,1),(176,1),(183,1),(185,1)}
       167:{1,2,5,7}:{(143,1),(144,1),(145,1),(177,1),(186,1)}
       168:{2,3,6}:{(144,1),(146,1),(184,1),(186,1)}
       169:{1,3,6}:{(145,1),(146,1),(148,1),(186,1)}
       170:{3,6,7}:{(146,1),(147,1),(180,1)}
       171:{1,4,6,7}:{(148,1),(149,1),(150,1),(181,1),(188,1)}
       172:{1,2,4}:{(151,1),(152,1),(189,1)}
       173:{2,4,5}:{(153,1),(157,1),(191,1)}
       174:{1,3,4,5}:{(152,1),(153,1),(158,1),(190,1),(192,1)}
       175:{3,4,6}:{(153,1),(154,1),(159,1),(191,1),(193,1)}
       176:{1,4,7}:{(154,1),(155,1),(193,1)}
       177:{1,2,5}:{(156,1),(157,1),(158,1)}
       178:{2,3,5,6}:{(157,1),(159,1),(168,1),(191,1),(194,1),(195,1),(197,1),(207,1)}
       179:{1,3,5,6}:{(158,1),(159,1),(161,1),(169,1),(192,1),(194,1),(196,1)}
       180:{3,5,7}:{(159,1),(160,1),(170,1),(193,1)}
       181:{1,4,5,7}:{(161,1),(162,1),(171,1),(196,1)}
       182:{3,5,6}:{(163,1),(165,1),(197,1),(198,1)}
       183:{1,4,5,7}:{(163,1),(166,1),(198,1)}
       184:{2,4,6}:{(164,1),(165,1),(168,1),(197,1)}
       185:{3,4,6,7}:{(165,1),(166,1),(170,1),(193,1),(198,1),(199,1)}
       186:{1,2,6}:{(167,1),(168,1),(169,1)}
       187:{2,3,6,7}:{(168,1),(170,1),(195,1),(199,1),(200,1)}
       188:{1,3,6,7}:{(169,1),(170,1),(171,1),(196,1),(200,1)}
       189:{2,3,4}:{(172,1),(201,1)}
       190:{1,2,4,5}:{(172,1),(173,1),(174,1),(177,1),(201,1),(202,1)}
       191:{2,4,6}:{(173,1),(175,1),(178,1),(203,1)}
       192:{1,3,4,6}:{(174,1),(175,1),(179,1),(202,1),(204,1)}
       193:{3,4,7}:{(175,1),(176,1),(180,1),(203,1)}
       194:{1,2,5,6}:{(177,1),(178,1),(179,1),(186,1),(202,1),(205,1)}
       195:{2,3,5,7}:{(178,1),(180,1),(187,1),(203,1),(205,1),(206,1),(209,1)}
       196:{1,3,5,7}:{(179,1),(180,1),(181,1),(188,1),(204,1),(205,1)}
       197:{2,5,6}:{(182,1),(184,1),(206,1)}
       198:{3,5,7}:{(182,1),(183,1),(185,1),(206,1)}
       199:{2,4,6,7}:{(184,1),(185,1),(187,1),(203,1),(206,1)}
       200:{1,2,6,7}:{(186,1),(187,1),(188,1),(205,1)}
       201:{2,3,5}:{(189,1),(190,1),(207,1)}
       202:{1,2,4,6}:{(190,1),(191,1),(192,1),(194,1),(207,1),(208,1)}
       203:{2,4,7}:{(191,1),(193,1),(195,1)}
       204:{1,3,4,7}:{(192,1),(193,1),(196,1),(208,1)}
       205:{1,2,5,7}:{(194,1),(195,1),(196,1),(200,1),(208,1)}
       206:{2,5,7}:{(197,1),(198,1),(199,1)}
       207:{2,3,6}:{(201,1),(202,1),(209,1)}
       208:{1,2,4,7}:{(202,1),(203,1),(204,1),(205,1),(209,1)}
       209:{2,3,7}:{(207,1),(208,1)}

1335 :   0:{2,4,5,6,7}:{(2,1),(17,1),(173,1)}
         1:{2,3,4,5,7}:{(3,1),(4,1),(14,1),(47,1),(84,1),(91,1),(99,1),(127,1),(132,1),(135,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(7,1),(190,1)}
         3:{2,3,4,6}:{(1,1),(10,1),(11,1),(75,1),(153,1),(158,1),(160,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(27,1),(33,1),(62,1),(72,1),(76,1)}
         5:{2,3,4,6,7}:{(3,1),(14,1),(15,1),(17,1),(45,1),(84,1),(87,1)}
         6:{3,4,6,7}:{(2,1),(13,1),(16,1),(17,1),(45,1),(175,1)}
         7:{1,5,6,7}:{(2,1),(16,1),(202,1)}
         8:{2,3,5,6,7}:{(2,1),(14,1),(17,1),(18,1),(45,1),(128,1)}
         9:{3,4,5,6}:{(13,1),(20,1),(21,1),(53,1),(142,1),(175,1)}
        10:{2,3,5,6}:{(3,1),(14,1),(21,1),(22,1),(53,1),(91,1),(138,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(22,1),(23,1),(54,1)}
        12:{1,3,5,7}:{(4,1),(23,1),(24,1),(55,1),(132,1)}
        13:{3,4,5,7}:{(6,1),(9,1),(25,1),(26,1),(61,1)}
        14:{2,3,5,7}:{(5,1),(10,1),(26,1),(27,1),(61,1),(111,1)}
        15:{1,2,4,6,7}:{(5,1),(11,1),(27,1),(28,1),(62,1)}
        16:{1,4,6,7}:{(6,1),(7,1),(25,1),(29,1),(192,1)}
        17:{2,4,6,7}:{(6,1),(8,1),(26,1),(153,1)}
        18:{1,2,5,6,7}:{(7,1),(8,1),(27,1),(30,1),(31,1),(106,1),(111,1)}
        19:{1,2,3,5,7}:{(12,1),(32,1),(33,1),(69,1),(72,1)}
        20:{1,4,5,6}:{(9,1),(25,1),(34,1),(165,1),(192,1)}
        21:{2,4,5,6}:{(9,1),(10,1),(26,1),(115,1),(153,1)}
        22:{1,2,5,6}:{(10,1),(11,1),(27,1),(36,1),(72,1)}
        23:{1,3,6}:{(11,1),(12,1),(158,1)}
        24:{1,3,4,7}:{(12,1),(33,1),(37,1),(62,1),(104,1)}
        25:{1,4,5,7}:{(13,1),(16,1),(20,1),(40,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(17,1),(21,1)}
        27:{1,2,5,7}:{(14,1),(15,1),(22,1),(42,1)}
        28:{1,3,6,7}:{(15,1),(23,1),(42,1),(45,1)}
        29:{1,3,6,7}:{(16,1),(40,1),(44,1),(45,1),(179,1)}
        30:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(41,1),(44,1),(45,1),(46,1),(87,1),(133,1)}
        31:{1,3,5,6,7}:{(18,1),(42,1),(45,1),(46,1),(86,1),(88,1)}
        32:{1,2,3,6}:{(19,1),(23,1),(50,1),(92,1)}
        33:{1,2,4,7}:{(19,1),(24,1),(47,1),(50,1)}
        34:{1,3,5,6}:{(20,1),(40,1),(48,1),(52,1),(53,1),(147,1),(179,1)}
        35:{1,2,4,5,6}:{(20,1),(21,1),(22,1),(41,1),(52,1),(53,1),(54,1),(89,1),(95,1),(98,1),(133,1),(138,1)}
        36:{1,3,5,6}:{(22,1),(23,1),(42,1),(53,1),(54,1),(55,1)}
        37:{1,3,4,6}:{(23,1),(24,1),(50,1),(54,1),(55,1),(94,1)}
        38:{1,3,4,5,7}:{(24,1),(51,1),(55,1),(56,1),(85,1),(101,1),(132,1),(142,1),(174,1),(186,1)}
        39:{1,2,3,6,7}:{(28,1),(32,1),(58,1),(59,1),(64,1),(117,1),(158,1),(194,1),(196,1)}
        40:{1,3,5,7}:{(25,1),(29,1),(34,1),(57,1),(60,1),(61,1)}
        41:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(30,1),(35,1),(60,1),(61,1),(62,1),(66,1),(107,1),(111,1)}
        42:{1,3,5,7}:{(27,1),(28,1),(36,1),(61,1),(62,1)}
        43:{1,3,4,6,7}:{(28,1),(37,1),(59,1),(62,1),(63,1),(65,1),(104,1),(109,1),(158,1)}
        44:{1,2,6,7}:{(29,1),(60,1),(64,1),(194,1)}
        45:{3,6,7}:{(30,1),(61,1),(158,1)}
        46:{1,4,6,7}:{(31,1),(62,1),(65,1),(66,1),(109,1)}
        47:{2,3,4,7}:{(33,1),(68,1),(69,1),(104,1),(167,1)}
        48:{1,3,4,6}:{(34,1),(57,1),(67,1),(70,1),(75,1)}
        49:{1,2,3,5,6}:{(32,1),(36,1),(58,1),(71,1),(72,1),(74,1),(106,1),(116,1),(118,1),(121,1),(158,1),(168,1),(170,1),(194,1)}
        50:{1,2,4,6}:{(32,1),(33,1),(37,1),(68,1),(72,1)}
        51:{1,2,4,5,7}:{(33,1),(38,1),(69,1),(72,1),(73,1),(115,1),(123,1),(167,1)}
        52:{1,2,5,6}:{(34,1),(60,1),(70,1),(74,1),(168,1),(194,1)}
        53:{3,5,6}:{(35,1),(61,1),(75,1),(121,1),(158,1)}
        54:{1,4,6}:{(36,1),(62,1),(75,1),(76,1)}
        55:{1,3,5}:{(37,1),(72,1),(76,1),(121,1)}
        56:{1,3,4,6}:{(38,1),(73,1),(77,1),(109,1),(158,1),(166,1),(192,1)}
        57:{1,3,4,7}:{(40,1),(48,1),(80,1),(84,1)}
        58:{1,2,3,5,7}:{(39,1),(42,1),(49,1),(81,1),(82,1),(83,1),(129,1),(132,1),(144,1),(177,1),(189,1)}
        59:{1,2,4,6,7}:{(39,1),(43,1),(50,1),(79,1),(81,1),(82,1),(87,1),(133,1),(204,1)}
        60:{1,2,5,7}:{(40,1),(44,1),(52,1),(80,1),(83,1)}
        61:{3,5,7}:{(41,1),(45,1),(53,1),(84,1)}
        62:{1,4,7}:{(42,1),(54,1),(84,1)}
        63:{1,3,5,7}:{(43,1),(55,1),(82,1),(85,1),(86,1),(88,1),(132,1)}
        64:{2,3,6,7}:{(44,1),(45,1),(83,1),(87,1),(178,1)}
        65:{3,4,6,7}:{(45,1),(46,1),(84,1),(87,1),(88,1),(136,1)}
        66:{1,4,5,7}:{(46,1),(88,1),(89,1)}
        67:{1,3,4,5}:{(48,1),(90,1),(99,1),(147,1),(182,1)}
        68:{2,3,4,6}:{(47,1),(50,1),(91,1),(92,1),(94,1),(143,1)}
        69:{2,3,5,7}:{(47,1),(51,1),(91,1),(92,1),(132,1)}
        70:{1,2,4,6}:{(48,1),(52,1),(80,1),(90,1),(93,1),(98,1)}
        71:{1,2,4,6}:{(49,1),(54,1),(81,1),(94,1),(95,1),(98,1),(143,1),(185,1)}
        72:{1,2,5}:{(50,1),(55,1),(91,1)}
        73:{1,2,4,6}:{(51,1),(56,1),(92,1),(96,1),(143,1)}
        74:{2,3,5,6}:{(52,1),(53,1),(83,1),(93,1),(98,1),(138,1),(146,1),(178,1)}
        75:{3,4,6}:{(53,1),(54,1),(84,1),(98,1),(99,1)}
        76:{1,4,5}:{(54,1),(55,1),(99,1)}
        77:{1,3,5,6}:{(55,1),(56,1),(96,1),(100,1),(101,1),(148,1),(202,1)}
        78:{1,3,4,6,7}:{(56,1),(97,1),(101,1),(137,1),(180,1),(186,1),(204,1)}
        79:{2,3,4,6,7}:{(59,1),(68,1),(102,1),(104,1),(117,1),(153,1),(158,1),(167,1),(193,1)}
        80:{1,2,4,7}:{(57,1),(60,1),(70,1),(103,1),(107,1)}
        81:{1,2,4,7}:{(58,1),(62,1),(71,1),(104,1),(107,1),(167,1),(200,1)}
        82:{1,2,5,7}:{(59,1),(63,1),(72,1),(102,1),(106,1),(111,1),(208,1)}
        83:{2,3,5,7}:{(60,1),(61,1),(64,1),(74,1),(103,1),(107,1),(111,1)}
        84:{3,4,7}:{(61,1),(62,1),(75,1),(107,1)}
        85:{1,4,5,7}:{(62,1),(63,1),(76,1),(108,1),(109,1)}
        86:{1,3,5,6}:{(63,1),(106,1),(109,1),(112,1),(158,1)}
        87:{2,4,6,7}:{(64,1),(65,1),(107,1),(111,1),(160,1)}
        88:{3,5,7}:{(65,1),(66,1),(111,1),(112,1)}
        89:{1,4,5,6}:{(66,1),(109,1),(112,1)}
        90:{1,2,4,5}:{(67,1),(70,1),(114,1),(124,1),(163,1),(168,1)}
        91:{2,3,5}:{(68,1),(72,1),(115,1),(121,1)}
        92:{2,3,6}:{(69,1),(73,1),(158,1)}
        93:{2,3,6}:{(70,1),(103,1),(114,1)}
        94:{3,4,6}:{(71,1),(104,1),(121,1),(158,1)}
        95:{1,2,4,5}:{(71,1),(72,1),(76,1),(115,1),(121,1),(124,1),(165,1),(168,1)}
        96:{1,2,5,6}:{(72,1),(73,1),(77,1),(116,1),(123,1)}
        97:{1,2,4,6,7}:{(73,1),(78,1),(117,1),(123,1),(167,1)}
        98:{2,4,6}:{(74,1),(75,1),(107,1),(124,1)}
        99:{3,4,5}:{(75,1),(76,1),(121,1),(124,1)}
       100:{1,4,5,6}:{(76,1),(77,1),(109,1),(125,1),(126,1)}
       101:{1,3,5,7}:{(77,1),(78,1),(123,1),(126,1),(171,1),(208,1)}
       102:{2,3,5,7}:{(79,1),(82,1),(91,1),(127,1),(128,1),(132,1),(203,1)}
       103:{2,3,7}:{(80,1),(93,1)}
       104:{3,4,7}:{(81,1),(94,1),(132,1)}
       105:{1,2,4,5,7}:{(81,1),(82,1),(85,1),(95,1),(127,1),(132,1),(133,1),(135,1),(174,1),(177,1)}
       106:{1,2,5,6}:{(82,1),(86,1),(128,1),(133,1),(138,1),(202,1)}
       107:{2,4,7}:{(83,1),(84,1),(98,1)}
       108:{3,4,5,7}:{(84,1),(85,1),(88,1),(99,1),(132,1),(135,1),(136,1)}
       109:{1,4,6}:{(85,1),(86,1),(136,1)}
       110:{1,3,5,6,7}:{(86,1),(101,1),(134,1),(137,1),(139,1),(180,1)}
       111:{2,5,7}:{(87,1),(88,1),(138,1)}
       112:{3,5,6}:{(88,1),(89,1),(136,1),(138,1)}
       113:{1,4,5,6,7}:{(89,1),(137,1),(139,1)}
       114:{2,3,5}:{(90,1),(93,1),(141,1)}
       115:{2,4,5}:{(91,1),(142,1),(143,1)}
       116:{2,3,5,6}:{(91,1),(92,1),(96,1),(143,1),(144,1),(148,1)}
       117:{2,3,6,7}:{(92,1),(97,1),(144,1),(180,1)}
       118:{1,2,3,6}:{(93,1),(129,1),(140,1),(145,1),(206,1)}
       119:{2,3,4,6}:{(93,1),(94,1),(98,1),(130,1),(141,1),(145,1),(146,1),(178,1)}
       120:{1,3,4,6}:{(94,1),(131,1),(145,1),(147,1),(179,1),(182,1),(185,1),(206,1)}
       121:{3,5}:{(94,1),(95,1)}
       122:{1,2,4,5,6}:{(95,1),(96,1),(100,1),(133,1),(143,1),(148,1),(149,1),(150,1),(173,1),(185,1),(187,1),(202,1)}
       123:{1,2,5,7}:{(96,1),(97,1),(101,1),(144,1)}
       124:{2,4,5}:{(98,1),(99,1),(146,1)}
       125:{3,4,5,6}:{(99,1),(100,1),(136,1),(148,1),(150,1),(151,1)}
       126:{1,4,5,7}:{(100,1),(101,1),(137,1),(151,1)}
       127:{2,4,5,7}:{(102,1),(115,1),(152,1),(153,1),(167,1)}
       128:{2,3,5,6}:{(102,1),(106,1),(153,1),(158,1),(190,1)}
       129:{1,2,3,7}:{(103,1),(118,1),(155,1),(209,1)}
       130:{2,3,4,7}:{(103,1),(104,1),(107,1),(119,1),(155,1),(156,1)}
       131:{1,3,4,7}:{(104,1),(120,1),(155,1),(157,1),(200,1),(209,1)}
       132:{3,5,7}:{(104,1),(105,1),(121,1),(158,1)}
       133:{1,2,4,6}:{(105,1),(106,1),(109,1),(153,1),(158,1),(160,1),(192,1),(194,1)}
       134:{1,2,5,6,7}:{(106,1),(110,1),(123,1),(154,1),(159,1),(162,1),(208,1)}
       135:{2,4,5,7}:{(107,1),(108,1),(111,1),(124,1),(156,1),(160,1)}
       136:{3,4,6}:{(108,1),(109,1),(112,1),(158,1),(160,1)}
       137:{1,4,6,7}:{(109,1),(110,1),(126,1),(161,1)}
       138:{2,5,6}:{(111,1),(112,1),(160,1)}
       139:{3,5,6,7}:{(112,1),(113,1),(161,1),(162,1)}
       140:{1,2,3,5}:{(114,1),(118,1),(163,1),(168,1),(197,1)}
       141:{2,3,4}:{(114,1),(163,1)}
       142:{3,4,5}:{(115,1),(121,1),(165,1),(166,1)}
       143:{2,4,6}:{(115,1),(116,1),(166,1),(167,1)}
       144:{2,3,5,7}:{(116,1),(117,1),(123,1),(167,1),(171,1)}
       145:{1,2,4,6}:{(118,1),(119,1),(120,1),(155,1),(163,1),(168,1),(194,1)}
       146:{2,3,5}:{(119,1),(121,1),(124,1),(168,1)}
       147:{1,3,5}:{(120,1),(121,1),(165,1),(168,1)}
       148:{3,5,6}:{(121,1),(122,1),(158,1),(166,1),(171,1)}
       149:{1,2,4,5,7}:{(122,1),(123,1),(126,1),(159,1),(167,1),(171,1),(172,1),(191,1),(200,1),(201,1),(208,1)}
       150:{2,4,5,6}:{(124,1),(125,1),(160,1),(169,1),(172,1)}
       151:{3,4,5,7}:{(125,1),(126,1),(161,1),(171,1),(172,1)}
       152:{3,4,5,7}:{(127,1),(132,1),(142,1),(174,1),(175,1),(186,1),(203,1)}
       153:{2,4,6}:{(127,1),(128,1),(175,1)}
       154:{2,3,5,6,7}:{(128,1),(134,1),(144,1),(176,1),(180,1),(203,1)}
       155:{1,2,4,7}:{(129,1),(130,1),(131,1),(145,1),(177,1)}
       156:{2,3,5,7}:{(130,1),(132,1),(135,1),(146,1),(177,1),(178,1)}
       157:{1,3,5,7}:{(131,1),(132,1),(147,1),(174,1),(177,1),(179,1)}
       158:{3,6}:{(132,1),(133,1)}
       159:{1,2,4,6,7}:{(133,1),(134,1),(137,1),(149,1),(176,1),(180,1),(181,1),(204,1),(205,1)}
       160:{2,4,6}:{(135,1),(136,1),(138,1),(178,1)}
       161:{3,4,6,7}:{(136,1),(137,1),(139,1),(151,1),(180,1),(181,1)}
       162:{2,5,6,7}:{(138,1),(139,1),(181,1)}
       163:{1,2,4}:{(140,1),(141,1),(182,1)}
       164:{2,3,4,5}:{(141,1),(142,1),(146,1),(183,1),(184,1)}
       165:{1,4,5}:{(142,1),(147,1),(185,1)}
       166:{3,4,6}:{(142,1),(143,1),(148,1),(185,1),(186,1)}
       167:{2,4,7}:{(143,1),(144,1),(186,1)}
       168:{1,2,5}:{(145,1),(146,1),(147,1)}
       169:{2,3,5,6}:{(146,1),(148,1),(150,1),(178,1),(184,1),(187,1),(188,1)}
       170:{1,3,5,6}:{(147,1),(148,1),(179,1),(185,1),(187,1),(189,1),(202,1),(206,1)}
       171:{3,5,7}:{(148,1),(149,1),(180,1),(186,1)}
       172:{2,4,5,7}:{(150,1),(151,1),(181,1),(188,1)}
       173:{2,4,5,6}:{(153,1),(190,1),(191,1)}
       174:{1,4,5,7}:{(152,1),(157,1),(165,1),(192,1),(200,1),(208,1)}
       175:{3,4,6}:{(152,1),(153,1),(158,1),(190,1),(192,1)}
       176:{2,4,6,7}:{(153,1),(154,1),(167,1),(191,1),(193,1)}
       177:{1,2,5,7}:{(155,1),(156,1),(157,1),(168,1),(194,1)}
       178:{2,3,6}:{(156,1),(158,1),(160,1),(194,1)}
       179:{1,3,6}:{(157,1),(158,1),(192,1),(194,1)}
       180:{3,6,7}:{(158,1),(159,1),(171,1)}
       181:{2,4,6,7}:{(160,1),(161,1),(162,1),(172,1),(195,1)}
       182:{1,3,4}:{(163,1),(197,1)}
       183:{1,2,4,5}:{(163,1),(164,1),(165,1),(168,1),(197,1),(198,1)}
       184:{2,3,4,6}:{(164,1),(166,1),(169,1),(198,1),(199,1)}
       185:{1,4,6}:{(165,1),(166,1),(170,1),(200,1)}
       186:{3,4,7}:{(166,1),(167,1),(171,1),(200,1)}
       187:{1,2,5,6}:{(168,1),(169,1),(170,1),(194,1),(198,1),(201,1)}
       188:{2,3,5,7}:{(169,1),(171,1),(172,1),(195,1),(199,1),(201,1)}
       189:{1,3,5,7}:{(170,1),(171,1),(196,1),(200,1),(201,1),(208,1),(209,1)}
       190:{3,5,6}:{(173,1),(175,1),(202,1),(203,1)}
       191:{2,4,5,7}:{(173,1),(176,1),(203,1)}
       192:{1,4,6}:{(174,1),(175,1),(179,1),(202,1)}
       193:{3,4,6,7}:{(175,1),(176,1),(180,1),(186,1),(203,1),(204,1)}
       194:{1,2,6}:{(177,1),(178,1),(179,1)}
       195:{2,3,6,7}:{(178,1),(180,1),(181,1),(188,1),(205,1)}
       196:{1,3,6,7}:{(179,1),(180,1),(189,1),(204,1),(205,1)}
       197:{1,3,5}:{(182,1),(183,1),(206,1)}
       198:{1,2,4,6}:{(183,1),(184,1),(185,1),(187,1),(206,1),(207,1)}
       199:{2,3,4,7}:{(184,1),(186,1),(188,1),(207,1)}
       200:{1,4,7}:{(185,1),(186,1),(189,1)}
       201:{1,2,5,7}:{(187,1),(188,1),(189,1),(205,1),(207,1)}
       202:{1,5,6}:{(190,1),(192,1),(208,1)}
       203:{3,5,7}:{(190,1),(191,1),(193,1),(208,1)}
       204:{1,4,6,7}:{(192,1),(193,1),(196,1),(200,1),(208,1)}
       205:{1,2,6,7}:{(194,1),(195,1),(196,1),(201,1)}
       206:{1,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,2,4,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       208:{1,5,7}:{(202,1),(203,1),(204,1)}
       209:{1,3,7}:{(206,1),(207,1)}

1336 :   0:{1,2,3,6,7}:{(2,1),(3,1),(40,1),(77,1),(78,1),(79,1),(80,1),(104,1)}
         1:{1,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(37,1),(40,1),(46,1),(78,1),(95,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(7,1),(8,1),(24,1),(57,1),(65,1),(84,1),(93,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(25,1),(61,1),(62,1),(89,1),(90,1),(92,1)}
         4:{1,3,5,7}:{(1,1),(7,1),(9,1),(10,1),(25,1),(55,1),(63,1)}
         5:{2,3,4,6,7}:{(2,1),(11,1),(15,1),(33,1),(38,1),(40,1),(68,1),(79,1),(96,1),(104,1)}
         6:{1,2,3,5,6}:{(3,1),(12,1),(13,1),(36,1),(40,1),(74,1),(75,1),(76,1),(77,1),(80,1)}
         7:{1,2,5,7}:{(2,1),(4,1),(11,1),(13,1),(76,1),(81,1),(94,1)}
         8:{1,2,4,7}:{(3,1),(12,1),(15,1),(95,1),(96,1),(100,1)}
         9:{1,3,5,6}:{(4,1),(13,1),(17,1),(40,1),(45,1)}
        10:{1,4,5,7}:{(4,1),(17,1),(18,1),(71,1),(95,1)}
        11:{2,3,5,7}:{(5,1),(7,1),(19,1),(20,1),(25,1),(56,1),(82,1)}
        12:{1,2,4,6}:{(6,1),(8,1),(21,1),(22,1),(86,1),(87,1)}
        13:{1,2,5,6}:{(7,1),(9,1),(19,1),(24,1),(64,1),(83,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(10,1),(20,1),(21,1),(24,1),(25,1),(31,1),(51,1),(61,1),(88,1),(101,1)}
        15:{3,4,7}:{(8,1),(22,1),(25,1),(103,1)}
        16:{1,3,5,6,7}:{(9,1),(23,1),(29,1),(58,1),(63,1),(89,1)}
        17:{1,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(25,1),(30,1),(31,1),(52,1),(63,1),(85,1)}
        19:{2,3,5,6}:{(11,1),(13,1),(33,1),(40,1),(67,1)}
        20:{2,4,5,7}:{(11,1),(33,1),(34,1),(72,1),(96,1)}
        21:{1,2,4,5}:{(12,1),(36,1),(71,1),(72,1),(76,1)}
        22:{3,4,6}:{(12,1),(15,1),(36,1),(40,1)}
        23:{1,2,5,6,7}:{(13,1),(16,1),(32,1),(39,1),(81,1),(94,1),(99,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(17,1),(33,1),(40,1),(47,1),(69,1),(80,1)}
        25:{3,5,7}:{(14,1),(15,1),(36,1),(40,1),(98,1),(104,1)}
        26:{1,3,4,7}:{(15,1),(37,1),(41,1),(43,1),(95,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(38,1),(42,1),(43,1),(96,1),(104,1)}
        28:{1,4,5,6}:{(17,1),(44,1),(45,1)}
        29:{1,4,6,7}:{(16,1),(17,1),(44,1),(46,1),(95,1)}
        30:{3,4,6}:{(17,1),(18,1),(40,1),(45,1),(47,1)}
        31:{2,4,5,7}:{(18,1),(42,1),(47,1),(72,1),(81,1),(96,1)}
        32:{2,3,5,6,7}:{(19,1),(23,1),(49,1),(58,1),(82,1),(90,1)}
        33:{2,4,6}:{(19,1),(20,1),(50,1)}
        34:{3,4,5,7}:{(20,1),(25,1),(50,1),(51,1),(52,1),(82,1),(85,1)}
        35:{1,2,4,5,6}:{(21,1),(24,1),(28,1),(48,1),(53,1),(54,1),(64,1),(83,1),(86,1),(87,1),(91,1)}
        36:{3,5}:{(21,1),(22,1)}
        37:{1,3,4,6}:{(22,1),(26,1),(55,1),(57,1),(59,1),(86,1),(102,1),(103,1)}
        38:{2,3,4,6}:{(22,1),(27,1),(56,1),(57,1),(60,1),(87,1),(102,1),(103,1)}
        39:{1,2,4,6,7}:{(23,1),(24,1),(29,1),(49,1),(53,1),(58,1),(65,1),(84,1),(93,1),(101,1)}
        40:{3,6}:{(24,1),(25,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(51,1),(55,1),(59,1),(61,1)}
        42:{2,3,5,7}:{(25,1),(27,1),(31,1),(56,1),(60,1),(61,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(57,1),(61,1),(62,1)}
        44:{1,4,5,7}:{(28,1),(29,1),(63,1)}
        45:{3,5,6}:{(28,1),(30,1),(63,1),(64,1)}
        46:{3,4,6,7}:{(29,1),(30,1),(58,1),(63,1),(65,1),(85,1)}
        47:{2,4,6}:{(30,1),(31,1),(60,1),(64,1)}
        48:{2,4,5,6}:{(33,1),(66,1),(67,1)}
        49:{2,4,6,7}:{(32,1),(33,1),(66,1),(68,1),(96,1)}
        50:{3,4,6}:{(33,1),(34,1),(40,1),(67,1),(69,1)}
        51:{1,4,5,7}:{(34,1),(41,1),(69,1),(71,1),(94,1),(95,1)}
        52:{3,4,5}:{(36,1),(70,1),(71,1),(72,1),(98,1)}
        53:{1,2,4,5,7}:{(35,1),(39,1),(44,1),(66,1),(73,1),(81,1),(94,1),(95,1),(96,1),(99,1)}
        54:{3,5,6}:{(35,1),(36,1),(40,1),(70,1),(73,1)}
        55:{1,3,5}:{(36,1),(37,1),(71,1),(76,1),(98,1)}
        56:{2,3,5}:{(36,1),(38,1),(72,1),(76,1),(98,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(43,1),(76,1),(77,1),(80,1),(100,1)}
        58:{3,6,7}:{(39,1),(40,1),(73,1),(104,1)}
        59:{1,3,6}:{(40,1),(41,1),(69,1),(80,1)}
        60:{2,3,6}:{(40,1),(42,1),(47,1),(80,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(43,1),(76,1),(80,1)}
        62:{1,2,3,7}:{(43,1),(77,1),(104,1)}
        63:{3,5,7}:{(44,1),(45,1),(46,1),(81,1)}
        64:{2,5,6}:{(45,1),(47,1),(81,1)}
        65:{2,4,6,7}:{(46,1),(47,1),(79,1),(81,1),(96,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(82,1)}
        67:{3,5,6}:{(48,1),(50,1),(82,1),(83,1)}
        68:{3,4,6,7}:{(49,1),(50,1),(58,1),(82,1),(84,1),(85,1)}
        69:{1,4,6}:{(50,1),(51,1),(59,1),(83,1)}
        70:{3,4,6}:{(52,1),(54,1),(85,1),(86,1),(87,1),(102,1)}
        71:{1,4,5}:{(52,1),(55,1),(86,1)}
        72:{2,4,5}:{(52,1),(56,1),(87,1)}
        73:{3,5,7}:{(53,1),(54,1),(58,1),(85,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(59,1),(83,1),(86,1),(89,1),(91,1),(102,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(60,1),(64,1),(87,1),(90,1),(91,1),(102,1)}
        76:{1,2,5}:{(55,1),(56,1),(57,1)}
        77:{1,2,3,6}:{(57,1),(62,1),(92,1),(102,1)}
        78:{1,3,6,7}:{(58,1),(59,1),(84,1),(89,1),(93,1)}
        79:{2,3,6,7}:{(58,1),(60,1),(65,1),(90,1),(93,1)}
        80:{1,2,6}:{(59,1),(60,1),(61,1)}
        81:{2,5,7}:{(63,1),(64,1),(65,1)}
        82:{3,5,7}:{(66,1),(67,1),(68,1),(94,1)}
        83:{1,5,6}:{(67,1),(69,1),(94,1)}
        84:{1,4,6,7}:{(68,1),(69,1),(78,1),(94,1),(95,1)}
        85:{3,4,7}:{(70,1),(73,1),(95,1),(96,1),(104,1)}
        86:{1,4,6}:{(70,1),(71,1),(74,1),(95,1)}
        87:{2,4,6}:{(70,1),(72,1),(75,1),(96,1)}
        88:{1,2,4,5}:{(71,1),(72,1),(76,1),(97,1),(98,1),(100,1)}
        89:{1,3,5,7}:{(73,1),(74,1),(78,1),(94,1),(95,1),(99,1),(104,1)}
        90:{2,3,5,7}:{(73,1),(75,1),(79,1),(81,1),(96,1),(99,1),(104,1)}
        91:{1,2,5,6}:{(74,1),(75,1),(76,1),(80,1),(97,1),(99,1)}
        92:{1,2,3,5}:{(76,1),(77,1),(98,1),(100,1)}
        93:{1,2,6,7}:{(78,1),(79,1),(80,1),(99,1)}
        94:{1,5,7}:{(82,1),(83,1),(84,1)}
        95:{1,4,7}:{(85,1),(86,1),(89,1)}
        96:{2,4,7}:{(85,1),(87,1),(90,1)}
        97:{1,2,4,6}:{(86,1),(87,1),(88,1),(91,1),(101,1),(102,1)}
        98:{3,5}:{(88,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(89,1),(90,1),(91,1),(93,1),(101,1)}
       100:{1,2,4}:{(92,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1337 :   0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(27,1),(29,1),(31,1),(55,1),(58,1),(78,1),(80,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(40,1),(73,1),(94,1),(98,1)}
         2:{1,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(74,1),(93,1)}
         3:{1,3,5,6}:{(2,1),(8,1),(9,1),(24,1),(29,1)}
         4:{2,3,6,7}:{(1,1),(10,1),(29,1),(109,1),(113,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(108,1)}
         6:{1,4,5,7}:{(2,1),(9,1),(12,1),(80,1),(83,1)}
         7:{1,3,5,6,7}:{(3,1),(14,1),(15,1),(35,1),(39,1),(63,1),(125,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(37,1),(74,1)}
         9:{1,4,6}:{(3,1),(6,1),(18,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(121,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(45,1),(47,1),(74,1),(98,1),(99,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(65,1)}
        13:{1,4,5,6}:{(9,1),(22,1),(24,1)}
        14:{1,2,5,6,7}:{(7,1),(8,1),(25,1),(26,1),(49,1),(82,1),(87,1),(115,1)}
        15:{1,4,6,7}:{(7,1),(9,1),(22,1),(27,1),(80,1),(132,1)}
        16:{2,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(24,1),(29,1),(30,1)}
        19:{2,4,7}:{(10,1),(28,1),(31,1),(129,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(113,1),(114,1)}
        21:{2,4,5,7}:{(12,1),(30,1),(33,1),(49,1),(81,1),(84,1)}
        22:{1,4,5,7}:{(13,1),(15,1),(35,1),(136,1)}
        23:{1,2,4,5,6}:{(13,1),(17,1),(34,1),(36,1),(37,1),(41,1),(66,1),(67,1),(68,1),(69,1),(74,1),(99,1),(101,1),(122,1),(136,1),(139,1)}
        24:{3,5,6}:{(13,1),(18,1),(35,1),(37,1)}
        25:{2,3,5,6,7}:{(14,1),(16,1),(38,1),(39,1),(64,1),(70,1),(102,1)}
        26:{1,2,4,6,7}:{(14,1),(15,1),(17,1),(34,1),(38,1),(39,1),(40,1),(71,1),(73,1),(98,1),(122,1)}
        27:{3,4,6,7}:{(15,1),(18,1),(35,1),(39,1),(40,1),(62,1),(135,1)}
        28:{2,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{2,4,6}:{(18,1),(21,1),(37,1),(44,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(45,1),(124,1)}
        32:{1,3,5,7}:{(20,1),(43,1),(45,1),(47,1),(74,1),(77,1),(105,1)}
        33:{2,3,5,7}:{(20,1),(21,1),(44,1),(46,1),(47,1),(75,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(26,1),(48,1),(49,1),(53,1),(80,1),(81,1),(82,1),(87,1)}
        35:{3,5,7}:{(22,1),(24,1),(27,1),(49,1),(138,1)}
        36:{3,5,6}:{(23,1),(29,1),(48,1),(50,1),(57,1),(114,1),(130,1),(138,1)}
        37:{2,5,6}:{(24,1),(30,1),(49,1)}
        38:{2,4,6,7}:{(25,1),(28,1),(53,1),(54,1),(81,1),(111,1)}
        39:{3,6,7}:{(26,1),(29,1),(48,1),(113,1),(130,1)}
        40:{2,4,6,7}:{(27,1),(30,1),(49,1),(56,1),(81,1),(137,1)}
        41:{2,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(58,1)}
        43:{1,3,6}:{(29,1),(32,1),(58,1),(60,1)}
        44:{2,3,6}:{(29,1),(30,1),(33,1),(60,1)}
        45:{1,4,7}:{(31,1),(32,1),(58,1),(117,1)}
        46:{2,3,4,7}:{(31,1),(33,1),(59,1),(61,1),(81,1),(113,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(36,1),(39,1),(62,1)}
        49:{2,5,7}:{(35,1),(37,1),(40,1),(139,1)}
        50:{3,4,6}:{(36,1),(62,1),(65,1),(66,1),(67,1),(100,1),(124,1)}
        51:{1,3,5,6}:{(36,1),(43,1),(63,1),(66,1),(68,1),(74,1),(93,1),(100,1),(101,1),(105,1),(118,1)}
        52:{2,3,5,6}:{(36,1),(37,1),(44,1),(64,1),(67,1),(68,1),(75,1),(100,1),(121,1),(133,1),(139,1)}
        53:{2,4,5,7}:{(38,1),(41,1),(69,1),(70,1)}
        54:{3,4,6,7}:{(38,1),(39,1),(42,1),(62,1),(70,1),(71,1),(95,1)}
        55:{1,3,6,7}:{(39,1),(43,1),(63,1),(71,1),(73,1),(118,1)}
        56:{2,3,6,7}:{(39,1),(40,1),(44,1),(64,1),(73,1),(133,1)}
        57:{3,5}:{(41,1),(42,1),(74,1)}
        58:{1,4,6}:{(42,1),(43,1),(45,1),(74,1)}
        59:{2,3,4,6}:{(42,1),(44,1),(46,1),(67,1),(75,1),(76,1),(100,1),(124,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(50,1),(80,1),(81,1),(113,1)}
        63:{1,3,5,7}:{(48,1),(51,1),(55,1),(80,1),(82,1),(87,1),(113,1)}
        64:{2,3,5,7}:{(48,1),(49,1),(52,1),(56,1),(81,1),(82,1),(113,1)}
        65:{3,4,5}:{(50,1),(57,1),(83,1),(84,1),(114,1),(138,1)}
        66:{1,4,6}:{(50,1),(51,1),(80,1),(83,1),(117,1)}
        67:{2,4,6}:{(50,1),(52,1),(81,1),(84,1),(129,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(60,1),(82,1),(85,1),(90,1),(108,1),(127,1)}
        69:{2,4,5,6}:{(53,1),(86,1),(111,1)}
        70:{3,5,7}:{(53,1),(54,1),(57,1),(86,1),(87,1)}
        71:{1,4,6,7}:{(54,1),(55,1),(58,1),(80,1),(87,1),(110,1)}
        72:{2,3,4,6,7}:{(54,1),(56,1),(59,1),(81,1),(88,1),(89,1),(111,1),(113,1),(130,1),(131,1),(137,1)}
        73:{1,2,6,7}:{(55,1),(56,1),(60,1),(82,1),(127,1)}
        74:{1,5}:{(57,1),(58,1)}
        75:{2,3,5}:{(57,1),(59,1),(84,1),(90,1),(114,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{1,3,7}:{(61,1),(91,1),(113,1)}
        78:{1,3,4,6}:{(66,1),(92,1),(93,1),(94,1),(100,1),(118,1),(124,1),(135,1)}
        79:{3,4,5,7}:{(62,1),(65,1),(70,1),(95,1),(96,1),(97,1),(123,1)}
        80:{1,4,7}:{(62,1),(63,1),(66,1)}
        81:{2,4,7}:{(62,1),(64,1),(67,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(68,1),(73,1),(98,1)}
        83:{1,4,5}:{(65,1),(66,1),(74,1),(93,1)}
        84:{2,4,5}:{(65,1),(67,1),(75,1),(139,1)}
        85:{1,2,4,6}:{(66,1),(67,1),(68,1),(98,1),(99,1),(100,1)}
        86:{3,5,6}:{(69,1),(70,1),(95,1),(101,1)}
        87:{1,5,7}:{(70,1),(71,1),(74,1),(101,1)}
        88:{2,3,5,7}:{(70,1),(72,1),(75,1),(97,1),(102,1),(103,1),(123,1),(139,1)}
        89:{1,2,4,6,7}:{(71,1),(72,1),(73,1),(76,1),(98,1),(103,1),(104,1),(122,1),(126,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{1,3,6}:{(76,1),(77,1),(100,1),(105,1)}
        92:{1,3,4,7}:{(78,1),(80,1),(106,1),(107,1),(113,1),(131,1)}
        93:{1,3,5}:{(78,1),(83,1),(108,1),(114,1),(138,1)}
        94:{1,2,4,6}:{(78,1),(107,1),(108,1),(109,1),(127,1),(129,1),(137,1)}
        95:{3,4,6}:{(79,1),(86,1),(110,1),(111,1),(130,1)}
        96:{1,4,5,7}:{(79,1),(80,1),(83,1),(87,1),(106,1),(110,1)}
        97:{2,4,5,7}:{(79,1),(81,1),(84,1),(88,1),(111,1)}
        98:{1,2,4,7}:{(80,1),(81,1),(82,1),(85,1),(113,1)}
        99:{1,2,4,5}:{(83,1),(84,1),(85,1),(90,1),(108,1),(114,1),(117,1),(129,1)}
       100:{3,6}:{(85,1),(113,1),(114,1)}
       101:{1,5,6}:{(86,1),(87,1),(110,1)}
       102:{2,3,5,6}:{(86,1),(88,1),(111,1),(115,1),(130,1)}
       103:{1,2,5,7}:{(87,1),(88,1),(89,1),(90,1),(115,1),(116,1)}
       104:{1,3,6,7}:{(89,1),(91,1),(113,1),(116,1),(130,1)}
       105:{1,3,5}:{(90,1),(91,1),(114,1),(117,1)}
       106:{1,3,5,7}:{(92,1),(93,1),(96,1),(118,1),(119,1),(123,1)}
       107:{1,2,4,7}:{(92,1),(94,1),(119,1),(120,1),(134,1)}
       108:{1,2,5}:{(93,1),(94,1),(121,1),(139,1)}
       109:{2,3,6}:{(94,1),(100,1),(120,1),(121,1)}
       110:{1,4,6}:{(95,1),(96,1),(101,1),(118,1)}
       111:{2,4,6}:{(95,1),(97,1),(102,1)}
       112:{1,2,4,5,7}:{(96,1),(97,1),(98,1),(99,1),(103,1),(119,1),(122,1),(123,1),(126,1),(134,1),(136,1),(139,1)}
       113:{3,7}:{(98,1),(100,1)}
       114:{3,5}:{(99,1),(100,1),(124,1)}
       115:{1,2,5,6}:{(101,1),(102,1),(103,1),(122,1),(125,1),(139,1)}
       116:{1,3,5,7}:{(103,1),(104,1),(105,1),(123,1),(125,1),(126,1)}
       117:{1,4}:{(105,1),(124,1)}
       118:{1,3,6}:{(106,1),(110,1),(127,1),(130,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(108,1),(127,1),(128,1)}
       120:{2,3,7}:{(107,1),(109,1),(113,1)}
       121:{2,3,5}:{(108,1),(109,1),(114,1),(129,1)}
       122:{1,2,4,6}:{(110,1),(111,1),(112,1),(115,1),(127,1),(130,1),(132,1),(137,1)}
       123:{3,5,7}:{(112,1),(113,1),(114,1),(130,1),(131,1),(138,1)}
       124:{3,4}:{(114,1),(117,1),(129,1)}
       125:{1,3,5,6}:{(115,1),(116,1),(130,1),(132,1),(138,1)}
       126:{1,4,7}:{(116,1),(117,1),(131,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{2,3,5,7}:{(119,1),(120,1),(121,1),(123,1),(133,1),(134,1),(139,1)}
       129:{2,4}:{(121,1),(124,1)}
       130:{3,6}:{(122,1),(123,1)}
       131:{3,4,7}:{(123,1),(124,1),(126,1),(134,1),(135,1)}
       132:{1,4,6}:{(125,1),(126,1),(135,1),(136,1)}
       133:{2,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{2,4,7}:{(128,1),(129,1),(131,1),(137,1)}
       135:{3,4,6}:{(130,1),(131,1),(132,1),(137,1),(138,1)}
       136:{1,4,5}:{(132,1),(138,1)}
       137:{2,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1338 :   0:{1,2,3,6}:{(3,1),(5,1),(6,1),(81,1),(88,1)}
         1:{1,3,4,6}:{(6,1),(7,1),(8,1),(31,1),(38,1),(46,1),(86,1),(88,1)}
         2:{1,4,5,6}:{(9,1),(10,1),(38,1),(94,1),(96,1)}
         3:{1,2,3,5}:{(0,1),(11,1),(14,1),(21,1),(53,1),(58,1)}
         4:{3,4,5}:{(15,1),(16,1),(18,1),(58,1)}
         5:{1,2,3,7}:{(0,1),(20,1),(112,1),(120,1),(163,1)}
         6:{1,2,4,6}:{(0,1),(1,1),(14,1),(19,1),(20,1),(21,1),(71,1)}
         7:{1,3,4,7}:{(1,1),(20,1),(23,1),(57,1),(65,1),(120,1),(165,1)}
         8:{1,3,5}:{(1,1),(16,1),(21,1),(58,1),(118,1)}
         9:{3,5,6}:{(2,1),(18,1),(22,1),(25,1)}
        10:{1,4,5,7}:{(2,1),(25,1),(26,1),(65,1),(125,1),(126,1)}
        11:{1,2,3}:{(28,1)}
        12:{2,3,4}:{(28,1),(30,1),(31,1)}
        13:{1,2,3,5,7}:{(3,1),(5,1),(27,1),(32,1),(33,1),(43,1),(78,1),(80,1),(87,1),(89,1)}
        14:{1,2,4}:{(3,1),(31,1)}
        15:{2,4,5}:{(4,1),(30,1),(36,1)}
        16:{1,4,5}:{(4,1),(8,1),(38,1),(147,1)}
        17:{3,4,5,7}:{(4,1),(35,1),(37,1),(39,1),(40,1),(87,1),(97,1),(141,1),(147,1),(194,1),(198,1)}
        18:{3,4,6}:{(4,1),(9,1),(36,1),(38,1),(40,1),(88,1)}
        19:{2,3,4,6}:{(6,1),(31,1),(41,1),(42,1),(86,1),(88,1),(99,1),(100,1)}
        20:{1,2,4,7}:{(5,1),(6,1),(7,1),(41,1),(43,1),(188,1)}
        21:{1,2,5}:{(6,1),(8,1),(42,1)}
        22:{2,5,6}:{(9,1),(36,1),(45,1)}
        23:{1,3,5,7}:{(7,1),(8,1),(37,1),(43,1),(46,1),(87,1),(190,1),(221,1)}
        24:{1,3,5,6}:{(8,1),(9,1),(38,1),(44,1),(46,1),(47,1),(88,1),(94,1),(148,1)}
        25:{3,5,7}:{(9,1),(10,1),(40,1),(45,1),(48,1)}
        26:{1,4,6,7}:{(10,1),(48,1),(49,1),(104,1)}
        27:{1,2,3,7}:{(11,1),(51,1),(52,1),(210,1),(227,1)}
        28:{1,2,4}:{(11,1),(12,1),(50,1),(53,1)}
        29:{2,3,4,7}:{(12,1),(52,1),(54,1),(55,1),(57,1),(171,1),(210,1)}
        30:{2,3,5}:{(12,1),(15,1),(53,1),(56,1),(58,1)}
        31:{3,4}:{(14,1),(58,1)}
        32:{1,2,3,6}:{(13,1),(59,1),(71,1),(111,1),(119,1)}
        33:{1,2,4,7}:{(13,1),(14,1),(57,1),(59,1),(109,1)}
        34:{1,2,4,5}:{(14,1),(15,1),(16,1),(21,1),(53,1),(58,1),(61,1),(68,1),(105,1)}
        35:{2,4,5,7}:{(15,1),(17,1),(55,1),(62,1),(63,1),(113,1),(124,1),(171,1)}
        36:{2,4,6}:{(15,1),(18,1),(22,1),(56,1),(63,1)}
        37:{1,4,5,7}:{(16,1),(17,1),(23,1),(64,1),(65,1),(125,1),(169,1),(211,1)}
        38:{1,4,6}:{(16,1),(18,1),(24,1),(65,1),(175,1)}
        39:{3,4,6}:{(17,1),(62,1),(64,1),(66,1),(119,1),(175,1)}
        40:{3,4,7}:{(18,1),(25,1),(63,1),(65,1),(120,1)}
        41:{2,3,4,7}:{(19,1),(20,1),(57,1),(69,1),(120,1),(129,1),(164,1)}
        42:{2,3,5}:{(19,1),(21,1),(58,1),(68,1),(118,1)}
        43:{1,2,5,7}:{(20,1),(21,1),(23,1),(69,1),(71,1),(207,1),(227,1)}
        44:{1,2,5,6}:{(21,1),(22,1),(24,1),(61,1),(70,1),(71,1),(72,1),(157,1)}
        45:{2,5,7}:{(22,1),(25,1),(63,1),(73,1)}
        46:{1,3,6}:{(23,1),(64,1),(71,1),(119,1)}
        47:{1,3,5,7}:{(24,1),(25,1),(65,1),(72,1),(74,1),(120,1),(125,1),(176,1)}
        48:{3,6,7}:{(25,1),(26,1),(73,1)}
        49:{1,5,6,7}:{(26,1),(75,1),(125,1),(181,1)}
        50:{1,3,4}:{(28,1),(31,1),(77,1)}
        51:{1,2,3,6}:{(27,1),(78,1),(79,1),(191,1),(219,1)}
        52:{1,2,4,7}:{(27,1),(28,1),(29,1),(76,1),(79,1),(80,1)}
        53:{1,2,5}:{(28,1),(30,1),(77,1),(81,1)}
        54:{2,3,4,6}:{(29,1),(79,1),(82,1),(83,1),(86,1),(137,1),(142,1),(191,1)}
        55:{2,3,5,7}:{(29,1),(30,1),(35,1),(80,1),(82,1),(83,1),(84,1),(87,1)}
        56:{2,3,6}:{(30,1),(36,1),(81,1),(84,1),(88,1)}
        57:{3,4,7}:{(31,1),(33,1),(86,1),(87,1),(137,1),(198,1)}
        58:{3,5}:{(31,1),(34,1),(88,1)}
        59:{1,2,4,6}:{(32,1),(33,1),(86,1),(89,1)}
        60:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(37,1),(43,1),(80,1),(87,1),(89,1),(90,1),(91,1),(98,1),(132,1),(138,1),(147,1),(150,1),(192,1),(198,1)}
        61:{1,2,4,6}:{(34,1),(36,1),(38,1),(44,1),(81,1),(88,1),(91,1),(99,1),(133,1)}
        62:{2,4,6}:{(35,1),(39,1),(83,1),(92,1)}
        63:{2,4,7}:{(36,1),(40,1),(45,1),(84,1)}
        64:{1,4,6}:{(37,1),(39,1),(46,1),(94,1)}
        65:{1,4,7}:{(38,1),(40,1),(47,1),(198,1)}
        66:{3,5,6}:{(39,1),(92,1),(94,1),(96,1),(97,1)}
        67:{3,4,6,7}:{(39,1),(40,1),(48,1),(93,1),(95,1),(97,1),(104,1),(149,1),(156,1),(194,1),(198,1)}
        68:{2,4,5}:{(42,1),(85,1),(99,1),(147,1)}
        69:{2,3,5,7}:{(41,1),(42,1),(43,1),(87,1),(98,1),(100,1),(189,1),(220,1)}
        70:{2,3,5,6}:{(42,1),(44,1),(88,1),(99,1),(100,1),(101,1),(144,1),(148,1),(154,1)}
        71:{1,2,6}:{(43,1),(46,1),(100,1)}
        72:{1,2,5,7}:{(44,1),(45,1),(47,1),(91,1),(101,1),(102,1),(182,1)}
        73:{2,6,7}:{(45,1),(48,1)}
        74:{1,3,6,7}:{(46,1),(47,1),(48,1),(95,1),(102,1),(149,1),(221,1)}
        75:{3,5,6,7}:{(48,1),(49,1),(97,1),(103,1),(104,1),(156,1)}
        76:{1,3,4,7}:{(50,1),(52,1),(57,1),(106,1),(107,1),(206,1),(210,1)}
        77:{1,3,5}:{(50,1),(53,1),(58,1),(105,1),(108,1)}
        78:{1,2,3,5}:{(51,1),(109,1),(110,1),(163,1),(166,1),(207,1)}
        79:{1,2,4,6}:{(51,1),(52,1),(54,1),(106,1),(109,1),(110,1),(111,1)}
        80:{1,2,5,7}:{(52,1),(53,1),(55,1),(107,1),(110,1),(111,1),(112,1)}
        81:{1,2,6}:{(53,1),(56,1),(108,1),(112,1)}
        82:{2,3,5}:{(54,1),(110,1),(113,1),(118,1),(166,1)}
        83:{2,3,6}:{(55,1),(62,1),(111,1),(119,1)}
        84:{2,3,7}:{(56,1),(63,1),(112,1),(120,1)}
        85:{3,4,5}:{(58,1),(68,1),(105,1),(117,1)}
        86:{3,4,6}:{(57,1),(59,1),(118,1),(119,1),(175,1)}
        87:{3,5,7}:{(57,1),(58,1),(60,1),(118,1),(119,1),(120,1),(166,1),(210,1)}
        88:{3,6}:{(58,1),(61,1),(120,1)}
        89:{1,2,5}:{(59,1),(118,1)}
        90:{1,2,4,6}:{(60,1),(62,1),(64,1),(71,1),(111,1),(119,1),(121,1),(128,1),(158,1),(175,1)}
        91:{1,2,4,7}:{(61,1),(63,1),(65,1),(72,1),(112,1),(120,1),(129,1),(159,1)}
        92:{2,5,6}:{(62,1),(66,1),(124,1)}
        93:{2,4,6,7}:{(62,1),(63,1),(67,1),(73,1),(115,1),(124,1),(171,1)}
        94:{1,5,6}:{(64,1),(66,1),(125,1)}
        95:{1,4,6,7}:{(64,1),(65,1),(67,1),(74,1),(125,1),(181,1),(211,1)}
        96:{4,5,6}:{(66,1),(126,1),(175,1)}
        97:{3,5,7}:{(66,1),(67,1),(124,1),(125,1),(126,1)}
        98:{2,4,5,7}:{(68,1),(69,1),(116,1),(128,1),(129,1),(180,1),(204,1),(226,1)}
        99:{2,4,6}:{(68,1),(70,1),(117,1),(129,1),(175,1)}
       100:{2,3,6}:{(69,1),(71,1),(119,1),(128,1)}
       101:{2,3,5,7}:{(70,1),(72,1),(120,1),(129,1),(130,1),(172,1),(176,1),(180,1)}
       102:{1,2,6,7}:{(71,1),(72,1),(73,1),(74,1),(130,1),(201,1),(227,1)}
       103:{2,5,6,7}:{(73,1),(75,1),(124,1),(131,1)}
       104:{4,6,7}:{(75,1),(126,1)}
       105:{1,4,5}:{(77,1),(85,1),(133,1)}
       106:{1,3,4,6}:{(76,1),(79,1),(86,1),(134,1),(135,1),(137,1),(186,1),(191,1)}
       107:{1,3,5,7}:{(76,1),(77,1),(80,1),(87,1),(132,1),(134,1),(135,1),(136,1)}
       108:{1,3,6}:{(77,1),(81,1),(88,1),(133,1),(136,1)}
       109:{1,2,4}:{(78,1),(137,1)}
       110:{1,2,5}:{(79,1),(82,1),(134,1)}
       111:{1,2,6}:{(80,1),(83,1),(135,1)}
       112:{1,2,7}:{(81,1),(84,1),(136,1)}
       113:{2,4,5}:{(82,1),(141,1),(142,1),(147,1)}
       114:{2,3,5,6}:{(82,1),(83,1),(92,1),(139,1),(142,1),(143,1),(148,1),(151,1),(191,1)}
       115:{2,3,6,7}:{(83,1),(84,1),(93,1),(140,1),(143,1),(149,1),(156,1)}
       116:{3,4,5,7}:{(85,1),(87,1),(98,1),(132,1),(145,1),(146,1),(147,1),(185,1),(197,1),(198,1),(218,1)}
       117:{3,4,6}:{(85,1),(88,1),(99,1),(133,1),(144,1),(146,1)}
       118:{3,5}:{(86,1),(89,1),(147,1)}
       119:{3,6}:{(87,1),(90,1)}
       120:{3,7}:{(88,1),(91,1)}
       121:{1,2,5,6}:{(89,1),(90,1),(92,1),(94,1),(148,1),(150,1),(154,1),(183,1)}
       122:{1,2,4,6,7}:{(90,1),(91,1),(93,1),(95,1),(102,1),(140,1),(149,1),(150,1),(155,1),(184,1),(192,1),(198,1)}
       123:{2,4,5,6}:{(92,1),(96,1),(142,1),(151,1),(152,1)}
       124:{2,5,7}:{(92,1),(93,1),(97,1)}
       125:{1,5,7}:{(94,1),(95,1),(97,1)}
       126:{4,5,7}:{(96,1),(97,1),(104,1),(198,1)}
       127:{2,4,5,6}:{(99,1),(144,1),(153,1),(154,1),(196,1)}
       128:{2,4,6}:{(98,1),(100,1),(145,1),(154,1)}
       129:{2,4,7}:{(99,1),(101,1),(146,1),(198,1)}
       130:{2,3,6,7}:{(100,1),(101,1),(102,1),(149,1),(155,1),(195,1),(220,1)}
       131:{2,4,6,7}:{(103,1),(104,1),(152,1),(156,1)}
       132:{1,4,5,7}:{(105,1),(107,1),(116,1),(158,1),(159,1),(160,1),(203,1),(206,1)}
       133:{1,4,6}:{(105,1),(108,1),(117,1),(157,1),(159,1)}
       134:{1,3,5}:{(106,1),(110,1),(118,1),(160,1),(166,1)}
       135:{1,3,6}:{(107,1),(111,1),(119,1),(158,1)}
       136:{1,3,7}:{(108,1),(112,1),(120,1),(159,1)}
       137:{3,4}:{(109,1),(166,1)}
       138:{1,2,4,5}:{(109,1),(110,1),(113,1),(160,1),(166,1),(167,1),(169,1),(204,1),(207,1)}
       139:{1,2,5,6}:{(110,1),(111,1),(114,1),(161,1),(167,1),(168,1),(177,1),(224,1)}
       140:{1,2,6,7}:{(111,1),(112,1),(115,1),(162,1),(168,1),(181,1),(230,1)}
       141:{3,4,5}:{(113,1),(166,1),(169,1),(170,1)}
       142:{2,4,6}:{(113,1),(114,1),(170,1),(171,1),(175,1)}
       143:{2,3,5,7}:{(114,1),(115,1),(124,1),(168,1),(171,1),(176,1),(178,1),(210,1)}
       144:{3,5,6}:{(117,1),(127,1),(157,1),(172,1)}
       145:{3,4,6}:{(116,1),(119,1),(128,1),(158,1),(173,1),(175,1)}
       146:{3,4,7}:{(117,1),(120,1),(129,1),(159,1),(172,1)}
       147:{4,5}:{(118,1),(175,1)}
       148:{3,5,6}:{(118,1),(119,1),(121,1),(175,1),(176,1)}
       149:{3,6,7}:{(119,1),(120,1),(122,1),(176,1),(210,1)}
       150:{1,2,5,7}:{(121,1),(122,1),(124,1),(125,1),(176,1),(180,1),(203,1)}
       151:{3,5,6}:{(123,1),(170,1),(177,1),(178,1)}
       152:{2,4,5,7}:{(123,1),(124,1),(126,1),(131,1),(171,1),(178,1)}
       153:{2,4,5,7}:{(127,1),(129,1),(172,1),(179,1),(180,1),(213,1)}
       154:{2,5,6}:{(128,1),(173,1),(180,1)}
       155:{2,4,6,7}:{(128,1),(129,1),(130,1),(174,1),(180,1),(226,1),(230,1)}
       156:{3,6,7}:{(131,1),(178,1),(181,1)}
       157:{1,5,6}:{(133,1),(144,1),(182,1)}
       158:{1,4,6}:{(132,1),(135,1),(145,1),(183,1)}
       159:{1,4,7}:{(133,1),(136,1),(146,1),(182,1)}
       160:{1,4,5}:{(134,1),(147,1),(185,1),(186,1)}
       161:{1,3,5,6}:{(134,1),(135,1),(139,1),(148,1),(183,1),(186,1),(187,1),(191,1),(215,1)}
       162:{1,3,6,7}:{(135,1),(136,1),(140,1),(149,1),(184,1),(187,1),(228,1)}
       163:{1,2,3}:{(188,1)}
       164:{2,3,4}:{(137,1),(188,1),(189,1)}
       165:{1,3,4}:{(137,1),(188,1),(190,1)}
       166:{3,5}:{(137,1),(138,1),(191,1)}
       167:{1,2,4,6}:{(138,1),(139,1),(142,1),(186,1),(191,1),(192,1),(193,1),(217,1),(219,1)}
       168:{1,2,5,7}:{(139,1),(140,1),(143,1),(187,1),(192,1),(199,1),(229,1)}
       169:{1,4,5}:{(141,1),(190,1),(193,1)}
       170:{3,4,6}:{(141,1),(142,1),(151,1),(191,1),(193,1),(194,1)}
       171:{2,4,7}:{(142,1),(143,1),(194,1),(198,1)}
       172:{3,5,7}:{(144,1),(146,1),(153,1),(182,1),(195,1)}
       173:{3,5,6}:{(145,1),(154,1),(183,1),(196,1),(197,1)}
       174:{3,4,6,7}:{(145,1),(146,1),(149,1),(155,1),(184,1),(195,1),(197,1),(198,1),(218,1),(222,1),(228,1)}
       175:{4,6}:{(147,1),(148,1),(198,1)}
       176:{3,5,7}:{(148,1),(149,1),(150,1),(198,1)}
       177:{1,5,6}:{(151,1),(193,1),(199,1)}
       178:{3,5,7}:{(151,1),(152,1),(156,1),(194,1),(199,1)}
       179:{2,4,6,7}:{(153,1),(195,1),(200,1),(222,1)}
       180:{2,5,7}:{(154,1),(155,1),(197,1)}
       181:{1,6,7}:{(156,1),(199,1)}
       182:{1,5,7}:{(157,1),(159,1),(172,1),(201,1)}
       183:{1,5,6}:{(158,1),(173,1),(203,1)}
       184:{1,4,6,7}:{(158,1),(159,1),(162,1),(174,1),(201,1),(203,1),(206,1)}
       185:{3,4,5}:{(160,1),(166,1),(204,1),(205,1)}
       186:{1,4,6}:{(160,1),(161,1),(175,1),(205,1),(206,1)}
       187:{1,3,5,7}:{(161,1),(162,1),(168,1),(176,1),(203,1),(206,1),(210,1),(225,1)}
       188:{1,2,4}:{(163,1),(164,1),(165,1),(207,1)}
       189:{2,3,5}:{(164,1),(166,1),(204,1),(207,1),(208,1)}
       190:{1,3,5}:{(165,1),(166,1),(169,1),(207,1),(209,1)}
       191:{3,6}:{(166,1),(167,1),(210,1)}
       192:{1,2,4,7}:{(167,1),(168,1),(171,1),(206,1),(210,1),(211,1),(226,1),(227,1)}
       193:{1,4,6}:{(169,1),(170,1),(177,1),(209,1),(211,1)}
       194:{3,4,7}:{(170,1),(171,1),(178,1),(210,1),(211,1)}
       195:{3,6,7}:{(172,1),(179,1),(201,1)}
       196:{4,5,6}:{(173,1),(175,1),(213,1)}
       197:{3,5,7}:{(173,1),(174,1),(180,1),(203,1),(213,1)}
       198:{4,7}:{(175,1),(176,1)}
       199:{1,5,7}:{(177,1),(178,1),(181,1),(211,1)}
       200:{2,5,6,7}:{(179,1),(180,1),(212,1),(230,1)}
       201:{1,6,7}:{(182,1),(195,1)}
       202:{1,4,5,6}:{(183,1),(186,1),(196,1),(215,1),(216,1)}
       203:{1,5,7}:{(183,1),(184,1),(197,1)}
       204:{2,4,5}:{(185,1),(189,1),(217,1)}
       205:{3,4,6}:{(185,1),(186,1),(191,1),(215,1),(217,1),(218,1)}
       206:{1,4,7}:{(186,1),(187,1),(198,1),(218,1)}
       207:{1,2,5}:{(188,1),(189,1),(190,1),(219,1)}
       208:{2,3,6}:{(189,1),(191,1),(217,1),(219,1),(220,1)}
       209:{1,3,6}:{(190,1),(191,1),(193,1),(219,1),(221,1)}
       210:{3,7}:{(191,1),(192,1)}
       211:{1,4,7}:{(193,1),(194,1),(199,1),(221,1)}
       212:{3,5,6,7}:{(195,1),(197,1),(200,1),(214,1),(222,1),(228,1)}
       213:{4,5,7}:{(196,1),(197,1),(198,1),(222,1)}
       214:{1,5,6,7}:{(201,1),(203,1),(212,1),(223,1)}
       215:{3,5,6}:{(202,1),(205,1),(224,1),(225,1)}
       216:{1,4,5,7}:{(202,1),(203,1),(206,1),(213,1),(223,1),(225,1)}
       217:{2,4,6}:{(204,1),(205,1),(208,1),(224,1),(226,1)}
       218:{3,4,7}:{(205,1),(206,1),(210,1),(225,1),(226,1)}
       219:{1,2,6}:{(207,1),(208,1),(209,1),(227,1)}
       220:{2,3,7}:{(208,1),(210,1),(226,1),(227,1)}
       221:{1,3,7}:{(209,1),(210,1),(211,1),(227,1)}
       222:{4,6,7}:{(212,1),(213,1)}
       223:{1,4,6,7}:{(214,1),(216,1),(222,1),(228,1)}
       224:{2,5,6}:{(215,1),(217,1),(229,1)}
       225:{3,5,7}:{(215,1),(216,1),(218,1),(228,1),(229,1)}
       226:{2,4,7}:{(217,1),(218,1),(220,1),(229,1)}
       227:{1,2,7}:{(219,1),(220,1),(221,1)}
       228:{3,6,7}:{(223,1),(225,1),(230,1)}
       229:{2,5,7}:{(224,1),(225,1),(226,1),(230,1)}
       230:{2,6,7}:{(228,1),(229,1)}

1339 :   0:{1,4,5,6}:{(5,1),(6,1),(27,1),(33,1),(82,1)}
         1:{1,3,4,6}:{(4,1),(7,1),(8,1),(33,1),(37,1),(89,1),(90,1),(138,1),(142,1)}
         2:{3,4,5}:{(12,1),(13,1),(14,1),(61,1)}
         3:{1,5,6,7}:{(10,1),(15,1),(105,1),(112,1)}
         4:{1,3,4,7}:{(1,1),(16,1),(17,1),(58,1),(96,1),(117,1),(118,1),(160,1)}
         5:{1,4,5,7}:{(0,1),(15,1),(18,1),(52,1),(58,1),(112,1)}
         6:{3,5,6}:{(0,1),(12,1),(18,1),(20,1)}
         7:{1,3,5}:{(1,1),(13,1),(21,1),(61,1),(161,1),(165,1)}
         8:{1,2,4,6}:{(1,1),(17,1),(21,1),(22,1),(64,1),(68,1),(121,1)}
         9:{2,3,4}:{(25,1),(26,1),(90,1)}
        10:{3,5,6,7}:{(3,1),(23,1),(28,1),(36,1),(74,1),(81,1)}
        11:{3,4,5,7}:{(2,1),(29,1),(30,1),(31,1),(32,1),(69,1),(81,1),(87,1),(126,1),(180,1),(181,1)}
        12:{3,4,6}:{(2,1),(6,1),(32,1),(33,1),(34,1),(89,1)}
        13:{1,4,5}:{(2,1),(7,1),(33,1),(181,1)}
        14:{2,4,5}:{(2,1),(25,1),(34,1)}
        15:{1,4,6,7}:{(3,1),(5,1),(28,1),(36,1)}
        16:{1,3,5,7}:{(4,1),(7,1),(30,1),(37,1),(38,1),(87,1),(124,1),(169,1),(179,1)}
        17:{1,2,4,7}:{(4,1),(8,1),(38,1),(39,1),(93,1),(125,1)}
        18:{3,5,7}:{(5,1),(6,1),(32,1),(36,1),(41,1)}
        19:{1,3,5,6}:{(6,1),(7,1),(33,1),(37,1),(40,1),(42,1),(82,1),(89,1),(140,1)}
        20:{2,5,6}:{(6,1),(34,1),(41,1)}
        21:{1,2,5}:{(7,1),(8,1),(43,1),(146,1)}
        22:{2,3,6}:{(8,1),(39,1),(43,1),(89,1)}
        23:{2,5,6,7}:{(10,1),(46,1),(63,1),(113,1)}
        24:{2,3,4,7}:{(9,1),(45,1),(47,1),(48,1),(117,1),(152,1),(188,1),(203,1)}
        25:{2,3,5}:{(9,1),(14,1),(49,1),(50,1),(61,1)}
        26:{1,2,4}:{(9,1),(50,1),(51,1),(111,1)}
        27:{4,5,6}:{(52,1),(53,1),(163,1)}
        28:{4,6,7}:{(10,1),(52,1)}
        29:{3,4,6}:{(11,1),(53,1),(55,1),(56,1),(116,1),(163,1)}
        30:{1,4,5,7}:{(11,1),(13,1),(16,1),(55,1),(58,1),(98,1),(112,1),(151,1)}
        31:{2,4,5,7}:{(11,1),(14,1),(47,1),(56,1),(59,1),(99,1),(113,1),(152,1)}
        32:{3,4,7}:{(12,1),(18,1),(58,1),(59,1),(118,1)}
        33:{1,4,6}:{(12,1),(13,1),(19,1),(58,1),(163,1)}
        34:{2,4,6}:{(12,1),(14,1),(20,1),(49,1),(59,1)}
        35:{1,2,4,5}:{(13,1),(14,1),(21,1),(50,1),(60,1),(61,1),(68,1),(111,1),(123,1),(161,1)}
        36:{3,6,7}:{(15,1),(18,1),(63,1)}
        37:{1,3,6}:{(16,1),(55,1),(64,1),(116,1),(193,1)}
        38:{1,2,5,7}:{(16,1),(17,1),(21,1),(64,1),(65,1),(149,1),(185,1)}
        39:{2,3,7}:{(17,1),(22,1),(118,1),(150,1)}
        40:{1,3,5,7}:{(18,1),(19,1),(58,1),(62,1),(66,1),(112,1),(118,1),(162,1)}
        41:{2,5,7}:{(18,1),(20,1),(59,1),(63,1)}
        42:{1,2,5,6}:{(19,1),(20,1),(21,1),(60,1),(64,1),(66,1),(67,1),(161,1),(193,1)}
        43:{2,3,5}:{(21,1),(22,1),(61,1),(68,1)}
        44:{2,4,5,6}:{(27,1),(70,1),(71,1),(83,1),(128,1)}
        45:{2,3,4,6}:{(24,1),(72,1),(73,1),(75,1),(128,1),(142,1),(173,1),(174,1),(197,1)}
        46:{2,4,6,7}:{(23,1),(28,1),(70,1),(74,1)}
        47:{2,3,5,7}:{(24,1),(25,1),(31,1),(72,1),(75,1),(76,1),(78,1),(87,1),(207,1)}
        48:{1,2,4,7}:{(24,1),(26,1),(73,1),(76,1),(77,1),(136,1)}
        49:{2,3,6}:{(25,1),(34,1),(78,1),(79,1),(89,1)}
        50:{1,2,5}:{(25,1),(26,1),(79,1),(80,1)}
        51:{1,3}:{(26,1)}
        52:{4,5,7}:{(27,1),(28,1),(81,1),(180,1)}
        53:{3,5,6}:{(27,1),(29,1),(81,1),(82,1),(83,1)}
        54:{3,4,6,7}:{(28,1),(29,1),(32,1),(36,1),(74,1),(81,1),(84,1),(85,1),(126,1),(141,1),(180,1)}
        55:{1,4,6}:{(29,1),(30,1),(37,1),(82,1)}
        56:{2,4,6}:{(29,1),(31,1),(75,1),(83,1)}
        57:{1,2,4,5,7}:{(30,1),(31,1),(35,1),(38,1),(76,1),(86,1),(87,1),(88,1),(93,1),(129,1),(136,1),(139,1),(146,1),(147,1),(172,1),(178,1),(179,1),(180,1),(181,1),(200,1),(207,1)}
        58:{1,4,7}:{(32,1),(33,1),(40,1),(180,1)}
        59:{2,4,7}:{(32,1),(34,1),(41,1),(78,1)}
        60:{1,2,4,6}:{(33,1),(34,1),(35,1),(42,1),(79,1),(88,1),(89,1),(95,1),(138,1)}
        61:{3,5}:{(35,1),(89,1),(90,1)}
        62:{1,3,6,7}:{(36,1),(37,1),(40,1),(84,1),(91,1),(141,1),(169,1)}
        63:{2,6,7}:{(36,1),(41,1)}
        64:{1,2,6}:{(37,1),(38,1),(92,1)}
        65:{2,3,5,7}:{(38,1),(39,1),(43,1),(87,1),(92,1),(93,1),(146,1),(171,1),(196,1),(207,1)}
        66:{1,2,5,7}:{(40,1),(41,1),(42,1),(88,1),(91,1),(94,1),(179,1)}
        67:{2,3,5,6}:{(42,1),(43,1),(89,1),(92,1),(94,1),(95,1),(140,1),(144,1),(146,1),(183,1),(184,1)}
        68:{2,4}:{(43,1),(90,1)}
        69:{3,4,5}:{(97,1),(98,1),(99,1),(154,1)}
        70:{2,4,5,7}:{(44,1),(46,1),(52,1),(100,1),(113,1),(152,1)}
        71:{3,5,6}:{(44,1),(97,1),(100,1),(101,1)}
        72:{2,3,5}:{(45,1),(99,1),(103,1),(154,1),(165,1),(204,1)}
        73:{1,2,4,6}:{(45,1),(48,1),(103,1),(104,1),(107,1),(157,1),(159,1)}
        74:{3,6,7}:{(46,1),(100,1),(105,1)}
        75:{2,3,6}:{(47,1),(56,1),(107,1),(116,1),(209,1)}
        76:{1,2,5,7}:{(47,1),(48,1),(50,1),(103,1),(107,1),(108,1),(109,1)}
        77:{1,3,7}:{(48,1),(51,1),(104,1),(188,1)}
        78:{2,3,7}:{(49,1),(59,1),(109,1),(118,1)}
        79:{1,2,6}:{(49,1),(50,1),(109,1),(110,1)}
        80:{1,3,5}:{(50,1),(51,1),(61,1),(110,1),(111,1),(161,1)}
        81:{3,5,7}:{(52,1),(53,1),(54,1),(112,1),(113,1)}
        82:{1,5,6}:{(53,1),(55,1),(112,1)}
        83:{2,5,6}:{(53,1),(56,1),(113,1)}
        84:{1,4,6,7}:{(54,1),(55,1),(58,1),(62,1),(105,1),(112,1),(151,1)}
        85:{2,4,6,7}:{(54,1),(56,1),(59,1),(63,1),(106,1),(113,1),(152,1)}
        86:{1,2,4,6}:{(55,1),(56,1),(57,1),(64,1),(107,1),(114,1),(116,1),(121,1),(159,1),(163,1),(168,1),(193,1),(206,1),(209,1)}
        87:{3,5,7}:{(57,1),(61,1),(116,1),(117,1),(118,1),(154,1),(165,1),(188,1)}
        88:{1,2,4,7}:{(58,1),(59,1),(60,1),(66,1),(109,1),(118,1),(122,1),(160,1)}
        89:{3,6}:{(60,1),(61,1),(118,1)}
        90:{3,4}:{(61,1),(68,1),(111,1)}
        91:{1,2,6,7}:{(62,1),(63,1),(64,1),(66,1),(120,1),(185,1),(193,1)}
        92:{2,3,6}:{(64,1),(65,1),(116,1),(121,1),(209,1)}
        93:{2,4,7}:{(65,1),(68,1),(117,1),(121,1),(187,1)}
        94:{2,3,5,7}:{(66,1),(67,1),(118,1),(120,1),(122,1),(162,1),(166,1),(167,1)}
        95:{2,4,6}:{(67,1),(68,1),(119,1),(122,1),(123,1),(163,1)}
        96:{1,3,4}:{(124,1),(125,1),(174,1)}
        97:{3,4,6}:{(69,1),(71,1),(126,1),(127,1),(128,1),(173,1)}
        98:{1,4,5}:{(69,1),(124,1),(127,1)}
        99:{2,4,5}:{(69,1),(72,1),(128,1),(181,1)}
       100:{3,5,7}:{(70,1),(71,1),(74,1),(126,1),(130,1)}
       101:{1,5,6}:{(71,1),(127,1),(130,1)}
       102:{2,3,5,6}:{(71,1),(72,1),(75,1),(83,1),(128,1),(131,1),(132,1),(140,1),(173,1)}
       103:{1,2,5}:{(72,1),(73,1),(133,1),(178,1)}
       104:{1,3,6}:{(73,1),(77,1),(133,1),(173,1)}
       105:{1,6,7}:{(74,1),(130,1)}
       106:{2,3,6,7}:{(74,1),(75,1),(78,1),(85,1),(131,1),(134,1),(141,1)}
       107:{1,2,6}:{(75,1),(76,1),(135,1)}
       108:{1,3,5,7}:{(76,1),(77,1),(80,1),(87,1),(133,1),(135,1),(136,1),(137,1),(178,1),(179,1)}
       109:{1,2,7}:{(78,1),(79,1),(137,1)}
       110:{1,3,6}:{(79,1),(80,1),(89,1),(137,1),(138,1)}
       111:{1,4}:{(80,1),(90,1)}
       112:{1,5,7}:{(81,1),(82,1),(84,1)}
       113:{2,5,7}:{(81,1),(83,1),(85,1)}
       114:{1,2,5,6}:{(82,1),(83,1),(86,1),(139,1),(140,1),(146,1),(178,1),(184,1),(201,1)}
       115:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(134,1),(139,1),(141,1),(145,1),(172,1),(177,1),(180,1)}
       116:{3,6}:{(86,1),(87,1)}
       117:{3,4,7}:{(87,1),(90,1),(93,1),(136,1),(142,1),(174,1),(180,1)}
       118:{3,7}:{(88,1),(89,1)}
       119:{3,4,6}:{(89,1),(90,1),(95,1),(138,1),(143,1),(144,1),(183,1)}
       120:{2,3,6,7}:{(91,1),(92,1),(94,1),(141,1),(145,1),(183,1),(196,1)}
       121:{2,4,6}:{(92,1),(93,1),(142,1),(146,1)}
       122:{2,4,7}:{(94,1),(95,1),(143,1),(180,1)}
       123:{2,4,5}:{(95,1),(144,1),(146,1),(181,1)}
       124:{1,3,5}:{(96,1),(98,1),(148,1),(149,1),(154,1)}
       125:{1,2,4}:{(96,1),(149,1),(150,1),(187,1)}
       126:{3,4,7}:{(97,1),(100,1),(151,1),(152,1),(188,1)}
       127:{1,4,6}:{(97,1),(98,1),(101,1),(148,1),(151,1)}
       128:{2,4,6}:{(97,1),(99,1),(102,1),(152,1),(163,1)}
       129:{1,2,4,5}:{(98,1),(99,1),(103,1),(149,1),(153,1),(154,1),(157,1),(187,1),(191,1),(204,1)}
       130:{1,5,7}:{(100,1),(101,1),(105,1),(151,1)}
       131:{2,3,5,7}:{(100,1),(102,1),(106,1),(113,1),(152,1),(155,1),(162,1),(188,1)}
       132:{1,2,5,6}:{(101,1),(102,1),(103,1),(107,1),(153,1),(155,1),(156,1),(204,1),(209,1)}
       133:{1,3,5}:{(103,1),(104,1),(154,1),(157,1)}
       134:{1,2,6,7}:{(105,1),(106,1),(107,1),(109,1),(155,1),(158,1),(209,1)}
       135:{1,3,6}:{(107,1),(108,1),(116,1),(159,1),(193,1)}
       136:{1,4,7}:{(108,1),(111,1),(117,1),(157,1),(159,1)}
       137:{1,3,7}:{(109,1),(110,1),(118,1),(160,1)}
       138:{1,4,6}:{(110,1),(111,1),(119,1),(160,1),(161,1),(193,1)}
       139:{1,2,5,7}:{(112,1),(113,1),(114,1),(115,1),(162,1),(167,1),(192,1)}
       140:{3,5,6}:{(114,1),(116,1),(162,1),(163,1),(165,1)}
       141:{3,6,7}:{(115,1),(116,1),(118,1),(162,1),(188,1)}
       142:{3,4,6}:{(116,1),(117,1),(121,1),(159,1),(163,1),(165,1)}
       143:{3,4,7}:{(118,1),(119,1),(122,1),(160,1),(166,1)}
       144:{3,5}:{(119,1),(123,1),(161,1)}
       145:{2,4,6,7}:{(120,1),(121,1),(122,1),(164,1),(167,1),(168,1),(203,1),(209,1)}
       146:{2,5}:{(121,1),(165,1)}
       147:{2,4,5,7}:{(122,1),(123,1),(166,1),(167,1),(168,1),(194,1)}
       148:{1,3,6}:{(124,1),(127,1),(169,1),(170,1),(173,1)}
       149:{1,2,5}:{(124,1),(125,1),(170,1),(171,1)}
       150:{2,3}:{(125,1)}
       151:{1,4,7}:{(126,1),(127,1),(130,1),(169,1)}
       152:{2,4,7}:{(126,1),(128,1),(131,1),(180,1)}
       153:{1,2,4,6}:{(127,1),(128,1),(129,1),(132,1),(170,1),(172,1),(173,1),(176,1),(197,1)}
       154:{3,5}:{(129,1),(173,1),(174,1)}
       155:{1,2,5,7}:{(130,1),(131,1),(132,1),(134,1),(172,1),(175,1),(207,1)}
       156:{1,3,5,6}:{(132,1),(133,1),(135,1),(140,1),(173,1),(175,1),(176,1),(178,1),(199,1),(201,1),(208,1)}
       157:{1,4}:{(133,1),(174,1)}
       158:{1,3,6,7}:{(134,1),(135,1),(137,1),(141,1),(175,1),(177,1),(208,1)}
       159:{1,4,6}:{(135,1),(136,1),(142,1),(178,1)}
       160:{1,4,7}:{(137,1),(138,1),(143,1),(179,1)}
       161:{1,5}:{(138,1),(144,1)}
       162:{3,5,7}:{(139,1),(140,1),(141,1),(180,1)}
       163:{4,6}:{(140,1),(180,1),(181,1)}
       164:{3,4,6,7}:{(141,1),(142,1),(143,1),(145,1),(177,1),(180,1),(182,1),(183,1),(198,1),(202,1),(208,1)}
       165:{3,5}:{(142,1),(146,1),(178,1),(181,1)}
       166:{3,5,7}:{(143,1),(144,1),(147,1),(179,1),(183,1)}
       167:{2,5,7}:{(145,1),(146,1),(182,1),(184,1)}
       168:{2,4,6}:{(147,1),(183,1),(184,1),(202,1)}
       169:{1,3,7}:{(148,1),(151,1),(185,1),(188,1)}
       170:{1,2,6}:{(148,1),(149,1),(185,1),(186,1)}
       171:{2,3,5}:{(149,1),(150,1),(154,1),(186,1),(187,1),(204,1)}
       172:{1,2,4,7}:{(151,1),(152,1),(153,1),(155,1),(185,1),(188,1),(190,1),(203,1)}
       173:{3,6}:{(153,1),(154,1),(188,1)}
       174:{3,4}:{(154,1),(157,1),(187,1)}
       175:{1,3,5,7}:{(155,1),(156,1),(158,1),(162,1),(188,1),(190,1),(192,1),(205,1)}
       176:{1,4,6}:{(156,1),(157,1),(163,1),(189,1),(190,1),(191,1)}
       177:{1,4,6,7}:{(158,1),(159,1),(160,1),(164,1),(190,1),(192,1),(193,1),(206,1)}
       178:{1,5}:{(159,1),(165,1)}
       179:{1,5,7}:{(160,1),(161,1),(166,1),(193,1)}
       180:{4,7}:{(162,1),(163,1)}
       181:{4,5}:{(163,1),(165,1)}
       182:{3,5,7}:{(164,1),(165,1),(167,1),(192,1),(194,1),(195,1)}
       183:{3,6}:{(166,1),(168,1),(193,1)}
       184:{2,5,6}:{(167,1),(168,1),(195,1),(209,1)}
       185:{1,2,7}:{(169,1),(170,1),(196,1)}
       186:{2,3,6}:{(170,1),(171,1),(173,1),(196,1),(197,1)}
       187:{2,4}:{(171,1),(174,1)}
       188:{3,7}:{(172,1),(173,1)}
       189:{3,4,6}:{(173,1),(174,1),(176,1),(197,1),(198,1),(199,1),(208,1)}
       190:{1,4,7}:{(175,1),(176,1),(180,1),(198,1)}
       191:{1,4,5}:{(176,1),(178,1),(181,1),(199,1)}
       192:{1,5,7}:{(177,1),(178,1),(182,1),(201,1)}
       193:{1,6}:{(179,1),(183,1)}
       194:{4,5,7}:{(180,1),(181,1),(182,1),(202,1)}
       195:{3,5,6}:{(182,1),(183,1),(184,1),(201,1),(202,1),(208,1)}
       196:{2,3,7}:{(185,1),(186,1),(188,1),(203,1)}
       197:{2,4,6}:{(186,1),(187,1),(189,1),(203,1),(204,1),(209,1)}
       198:{3,4,7}:{(188,1),(189,1),(190,1),(203,1),(205,1)}
       199:{3,5}:{(189,1),(191,1),(204,1)}
       200:{1,4,5,7}:{(190,1),(191,1),(192,1),(194,1),(205,1),(206,1)}
       201:{1,5,6}:{(192,1),(193,1),(195,1),(206,1)}
       202:{4,6}:{(194,1),(195,1)}
       203:{2,4,7}:{(196,1),(197,1),(198,1),(207,1)}
       204:{2,5}:{(197,1),(199,1)}
       205:{3,5,7}:{(198,1),(199,1),(200,1),(207,1),(208,1)}
       206:{1,4,6}:{(200,1),(201,1),(202,1),(208,1)}
       207:{2,5,7}:{(203,1),(204,1),(205,1),(209,1)}
       208:{3,6}:{(205,1),(206,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

1340 :   0:{1,2,3,7}:{(4,1),(5,1),(136,1),(163,1),(210,1)}
         1:{1,3,4,7}:{(5,1),(6,1),(7,1),(25,1),(97,1),(138,1),(163,1)}
         2:{1,2,3,5,7}:{(0,1),(8,1),(10,1),(11,1),(16,1),(18,1),(41,1),(43,1),(47,1),(48,1)}
         3:{3,4,5,7}:{(12,1),(13,1),(14,1),(47,1),(55,1),(63,1),(105,1),(112,1),(131,1),(176,1),(181,1)}
         4:{1,2,3,6}:{(0,1),(16,1),(17,1),(128,1),(189,1)}
         5:{1,2,4,7}:{(0,1),(1,1),(15,1),(17,1),(18,1),(170,1)}
         6:{1,3,4,6}:{(1,1),(17,1),(19,1),(20,1),(46,1),(59,1),(64,1),(128,1)}
         7:{1,3,5,7}:{(1,1),(13,1),(18,1),(19,1),(20,1),(47,1),(172,1),(218,1)}
         8:{1,2,3,7}:{(21,1),(22,1),(89,1),(200,1),(226,1)}
         9:{2,3,4,7}:{(22,1),(23,1),(24,1),(25,1),(90,1),(144,1),(200,1)}
        10:{1,2,3,6}:{(2,1),(26,1),(36,1),(70,1),(77,1)}
        11:{1,2,4,7}:{(2,1),(25,1),(26,1),(34,1),(68,1)}
        12:{2,4,5,7}:{(3,1),(24,1),(28,1),(71,1),(81,1),(95,1),(144,1),(164,1)}
        13:{1,4,5,7}:{(3,1),(7,1),(29,1),(37,1),(83,1),(97,1),(142,1),(201,1)}
        14:{3,4,6}:{(3,1),(28,1),(29,1),(30,1),(77,1),(149,1)}
        15:{2,3,4,7}:{(5,1),(25,1),(32,1),(33,1),(137,1),(159,1),(163,1)}
        16:{1,2,3,5}:{(4,1),(34,1),(35,1),(89,1),(92,1),(160,1)}
        17:{1,2,4,6}:{(4,1),(5,1),(6,1),(32,1),(34,1),(35,1),(36,1)}
        18:{1,2,5,7}:{(5,1),(7,1),(33,1),(35,1),(36,1),(197,1),(226,1)}
        19:{1,3,5}:{(6,1),(35,1),(37,1),(76,1),(92,1)}
        20:{1,3,6}:{(7,1),(29,1),(36,1),(77,1)}
        21:{1,2,3,6}:{(8,1),(41,1),(42,1),(173,1),(216,1)}
        22:{1,2,4,7}:{(8,1),(9,1),(40,1),(42,1),(43,1),(125,1)}
        23:{2,3,4,6}:{(9,1),(42,1),(44,1),(45,1),(46,1),(101,1),(106,1),(173,1)}
        24:{2,3,5,7}:{(9,1),(12,1),(43,1),(44,1),(45,1),(47,1),(126,1),(190,1)}
        25:{3,4,7}:{(11,1),(46,1),(47,1),(59,1),(101,1),(181,1)}
        26:{1,2,4,6}:{(10,1),(11,1),(46,1),(48,1)}
        27:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(18,1),(43,1),(47,1),(48,1),(49,1),(56,1),(60,1),(98,1),(102,1),(112,1),(115,1),(129,1),(174,1),(181,1)}
        28:{2,4,6}:{(12,1),(14,1),(45,1),(50,1)}
        29:{1,4,6}:{(13,1),(14,1),(20,1),(52,1)}
        30:{3,5,6}:{(14,1),(50,1),(52,1),(54,1),(55,1)}
        31:{3,4,6,7}:{(14,1),(51,1),(53,1),(55,1),(110,1),(114,1),(131,1),(176,1),(177,1),(178,1),(181,1)}
        32:{2,3,4,6}:{(15,1),(17,1),(46,1),(57,1),(58,1),(59,1),(123,1),(128,1)}
        33:{2,3,5,7}:{(15,1),(18,1),(47,1),(56,1),(57,1),(58,1),(171,1),(217,1)}
        34:{1,2,4}:{(16,1),(59,1)}
        35:{1,2,5}:{(17,1),(19,1),(57,1)}
        36:{1,2,6}:{(18,1),(20,1),(58,1)}
        37:{1,4,5}:{(19,1),(63,1),(64,1),(112,1)}
        38:{1,3,5,6}:{(19,1),(20,1),(52,1),(61,1),(64,1),(65,1),(113,1),(118,1),(128,1)}
        39:{1,3,6,7}:{(20,1),(53,1),(62,1),(65,1),(114,1),(178,1),(218,1)}
        40:{1,3,4,7}:{(22,1),(25,1),(66,1),(67,1),(91,1),(196,1),(200,1)}
        41:{1,2,3,5}:{(21,1),(68,1),(69,1),(136,1),(139,1),(197,1)}
        42:{1,2,4,6}:{(21,1),(22,1),(23,1),(66,1),(68,1),(69,1),(70,1)}
        43:{1,2,5,7}:{(22,1),(24,1),(67,1),(69,1),(70,1),(160,1),(210,1)}
        44:{2,3,5}:{(23,1),(69,1),(71,1),(76,1),(139,1)}
        45:{2,3,6}:{(24,1),(28,1),(70,1),(77,1)}
        46:{3,4,6}:{(25,1),(26,1),(76,1),(77,1),(149,1)}
        47:{3,5,7}:{(25,1),(27,1),(76,1),(77,1),(92,1),(139,1),(163,1),(200,1)}
        48:{1,2,5}:{(26,1),(76,1)}
        49:{1,2,4,6}:{(27,1),(28,1),(29,1),(36,1),(70,1),(77,1),(78,1),(85,1),(132,1),(149,1)}
        50:{2,5,6}:{(28,1),(30,1),(81,1)}
        51:{2,4,6,7}:{(28,1),(31,1),(73,1),(81,1),(144,1),(164,1),(203,1)}
        52:{1,5,6}:{(29,1),(30,1),(83,1)}
        53:{1,4,6,7}:{(29,1),(31,1),(39,1),(83,1),(97,1),(201,1),(202,1)}
        54:{4,5,6}:{(30,1),(84,1),(149,1)}
        55:{3,5,7}:{(30,1),(31,1),(81,1),(83,1),(84,1)}
        56:{2,4,5,7}:{(33,1),(75,1),(85,1),(86,1),(156,1),(159,1),(194,1),(225,1)}
        57:{2,3,5}:{(32,1),(35,1),(76,1),(86,1),(92,1)}
        58:{2,3,6}:{(33,1),(36,1),(77,1),(85,1)}
        59:{3,4}:{(34,1),(92,1)}
        60:{1,2,4,5}:{(34,1),(35,1),(37,1),(86,1),(92,1),(93,1),(95,1),(157,1),(160,1)}
        61:{1,2,5,6}:{(35,1),(36,1),(38,1),(87,1),(93,1),(94,1),(153,1),(207,1)}
        62:{1,2,6,7}:{(36,1),(39,1),(88,1),(94,1),(203,1),(226,1),(227,1)}
        63:{3,4,5}:{(37,1),(92,1),(95,1),(96,1)}
        64:{1,4,6}:{(37,1),(38,1),(96,1),(97,1),(149,1)}
        65:{1,3,5,7}:{(38,1),(39,1),(83,1),(94,1),(97,1),(150,1),(154,1),(163,1)}
        66:{1,3,4,6}:{(40,1),(42,1),(46,1),(99,1),(100,1),(101,1),(168,1),(173,1)}
        67:{1,3,5,7}:{(40,1),(43,1),(47,1),(98,1),(99,1),(100,1),(127,1),(191,1)}
        68:{1,2,4}:{(41,1),(101,1)}
        69:{1,2,5}:{(42,1),(44,1),(99,1)}
        70:{1,2,6}:{(43,1),(45,1),(100,1)}
        71:{2,4,5}:{(44,1),(105,1),(106,1),(112,1)}
        72:{2,3,5,6}:{(44,1),(45,1),(50,1),(103,1),(106,1),(107,1),(113,1),(116,1),(173,1)}
        73:{2,3,6,7}:{(45,1),(51,1),(104,1),(107,1),(114,1),(177,1),(190,1)}
        74:{3,5,6,7}:{(55,1),(108,1),(109,1),(110,1),(177,1),(178,1)}
        75:{3,4,5,7}:{(47,1),(56,1),(98,1),(111,1),(112,1),(122,1),(167,1),(180,1),(181,1),(188,1),(215,1)}
        76:{3,5}:{(46,1),(48,1),(112,1)}
        77:{3,6}:{(47,1),(49,1)}
        78:{1,2,5,6}:{(48,1),(49,1),(50,1),(52,1),(113,1),(115,1),(120,1),(165,1)}
        79:{1,2,4,6,7}:{(49,1),(51,1),(53,1),(62,1),(104,1),(114,1),(115,1),(121,1),(129,1),(166,1),(174,1),(181,1)}
        80:{2,4,5,6}:{(50,1),(54,1),(106,1),(116,1),(117,1)}
        81:{2,5,7}:{(50,1),(51,1),(55,1)}
        82:{1,4,5,6}:{(52,1),(54,1),(64,1),(118,1),(119,1)}
        83:{1,5,7}:{(52,1),(53,1),(55,1)}
        84:{4,5,7}:{(54,1),(55,1),(110,1),(181,1)}
        85:{2,4,6}:{(56,1),(58,1),(111,1),(120,1)}
        86:{2,4,5}:{(57,1),(112,1),(122,1),(123,1)}
        87:{2,3,5,6}:{(57,1),(58,1),(61,1),(113,1),(120,1),(123,1),(124,1),(128,1),(185,1)}
        88:{2,3,6,7}:{(58,1),(62,1),(114,1),(121,1),(124,1),(217,1),(220,1)}
        89:{1,2,3}:{(125,1)}
        90:{2,3,4}:{(59,1),(125,1),(126,1)}
        91:{1,3,4}:{(59,1),(125,1),(127,1)}
        92:{3,5}:{(59,1),(60,1),(128,1)}
        93:{1,2,4,6}:{(60,1),(61,1),(64,1),(123,1),(128,1),(129,1),(130,1),(187,1),(189,1)}
        94:{1,2,5,7}:{(61,1),(62,1),(65,1),(124,1),(129,1),(183,1),(221,1)}
        95:{2,4,5}:{(63,1),(126,1),(130,1)}
        96:{3,4,6}:{(63,1),(64,1),(118,1),(128,1),(130,1),(131,1)}
        97:{1,4,7}:{(64,1),(65,1),(131,1),(181,1)}
        98:{1,4,5,7}:{(67,1),(75,1),(132,1),(133,1),(157,1),(193,1),(196,1),(209,1)}
        99:{1,3,5}:{(66,1),(69,1),(76,1),(133,1),(139,1)}
       100:{1,3,6}:{(67,1),(70,1),(77,1),(132,1)}
       101:{3,4}:{(68,1),(139,1)}
       102:{1,2,4,5}:{(68,1),(69,1),(71,1),(133,1),(139,1),(140,1),(142,1),(194,1),(197,1)}
       103:{1,2,5,6}:{(69,1),(70,1),(72,1),(134,1),(140,1),(141,1),(151,1),(223,1)}
       104:{1,2,6,7}:{(70,1),(73,1),(135,1),(141,1),(202,1),(210,1),(230,1)}
       105:{3,4,5}:{(71,1),(139,1),(142,1),(143,1)}
       106:{2,4,6}:{(71,1),(72,1),(143,1),(144,1),(149,1)}
       107:{2,3,5,7}:{(72,1),(73,1),(81,1),(141,1),(144,1),(150,1),(152,1),(200,1)}
       108:{2,5,6,7}:{(74,1),(81,1),(145,1),(203,1)}
       109:{1,5,6,7}:{(74,1),(83,1),(146,1),(202,1)}
       110:{4,6,7}:{(74,1),(84,1)}
       111:{3,4,6}:{(75,1),(77,1),(85,1),(132,1),(147,1),(149,1)}
       112:{4,5}:{(76,1),(149,1)}
       113:{3,5,6}:{(76,1),(77,1),(78,1),(149,1),(150,1)}
       114:{3,6,7}:{(77,1),(79,1),(150,1),(163,1),(200,1)}
       115:{1,2,5,7}:{(78,1),(79,1),(81,1),(83,1),(150,1),(156,1),(193,1)}
       116:{3,5,6}:{(80,1),(143,1),(151,1),(152,1)}
       117:{2,4,5,7}:{(80,1),(81,1),(84,1),(144,1),(145,1),(152,1)}
       118:{3,5,6}:{(82,1),(96,1),(153,1),(154,1)}
       119:{1,4,5,7}:{(82,1),(83,1),(84,1),(97,1),(146,1),(154,1)}
       120:{2,5,6}:{(85,1),(147,1),(156,1)}
       121:{2,4,6,7}:{(85,1),(88,1),(148,1),(156,1),(159,1),(225,1),(230,1)}
       122:{3,4,5}:{(86,1),(92,1),(157,1),(158,1)}
       123:{2,4,6}:{(86,1),(87,1),(149,1),(158,1),(159,1)}
       124:{2,3,5,7}:{(87,1),(88,1),(94,1),(150,1),(156,1),(159,1),(163,1),(208,1)}
       125:{1,2,4}:{(89,1),(90,1),(91,1),(160,1)}
       126:{2,3,5}:{(90,1),(92,1),(95,1),(160,1),(161,1)}
       127:{1,3,5}:{(91,1),(92,1),(157,1),(160,1),(162,1)}
       128:{3,6}:{(92,1),(93,1),(163,1)}
       129:{1,2,4,7}:{(93,1),(94,1),(97,1),(159,1),(163,1),(164,1),(209,1),(210,1)}
       130:{2,4,6}:{(95,1),(96,1),(153,1),(161,1),(164,1)}
       131:{3,4,7}:{(96,1),(97,1),(154,1),(163,1),(164,1)}
       132:{1,4,6}:{(98,1),(100,1),(111,1),(165,1)}
       133:{1,4,5}:{(99,1),(112,1),(167,1),(168,1)}
       134:{1,3,5,6}:{(99,1),(100,1),(103,1),(113,1),(165,1),(168,1),(169,1),(173,1),(212,1)}
       135:{1,3,6,7}:{(100,1),(104,1),(114,1),(166,1),(169,1),(191,1),(228,1)}
       136:{1,2,3}:{(170,1)}
       137:{2,3,4}:{(101,1),(170,1),(171,1)}
       138:{1,3,4}:{(101,1),(170,1),(172,1)}
       139:{3,5}:{(101,1),(102,1),(173,1)}
       140:{1,2,4,6}:{(102,1),(103,1),(106,1),(168,1),(173,1),(174,1),(175,1),(214,1),(216,1)}
       141:{1,2,5,7}:{(103,1),(104,1),(107,1),(169,1),(174,1),(182,1),(229,1)}
       142:{1,4,5}:{(105,1),(172,1),(175,1)}
       143:{3,4,6}:{(105,1),(106,1),(116,1),(173,1),(175,1),(176,1)}
       144:{2,4,7}:{(106,1),(107,1),(176,1),(181,1)}
       145:{2,4,6,7}:{(108,1),(110,1),(117,1),(177,1)}
       146:{1,4,6,7}:{(109,1),(110,1),(119,1),(178,1)}
       147:{3,5,6}:{(111,1),(120,1),(165,1),(179,1),(180,1)}
       148:{3,4,6,7}:{(111,1),(114,1),(121,1),(166,1),(180,1),(181,1),(188,1),(215,1),(219,1),(220,1),(228,1)}
       149:{4,6}:{(112,1),(113,1),(181,1)}
       150:{3,5,7}:{(113,1),(114,1),(115,1),(181,1)}
       151:{1,5,6}:{(116,1),(175,1),(182,1)}
       152:{3,5,7}:{(116,1),(117,1),(176,1),(177,1),(182,1)}
       153:{2,5,6}:{(118,1),(130,1),(183,1)}
       154:{3,5,7}:{(118,1),(119,1),(131,1),(178,1),(183,1)}
       155:{2,4,5,6}:{(120,1),(123,1),(179,1),(185,1),(186,1)}
       156:{2,5,7}:{(120,1),(121,1),(180,1)}
       157:{1,4,5}:{(122,1),(127,1),(187,1)}
       158:{3,4,6}:{(122,1),(123,1),(128,1),(185,1),(187,1),(188,1)}
       159:{2,4,7}:{(123,1),(124,1),(181,1),(188,1)}
       160:{1,2,5}:{(125,1),(126,1),(127,1),(189,1)}
       161:{2,3,6}:{(126,1),(128,1),(130,1),(189,1),(190,1)}
       162:{1,3,6}:{(127,1),(128,1),(187,1),(189,1),(191,1)}
       163:{3,7}:{(128,1),(129,1)}
       164:{2,4,7}:{(130,1),(131,1),(183,1),(190,1)}
       165:{1,5,6}:{(132,1),(147,1),(193,1)}
       166:{1,4,6,7}:{(132,1),(135,1),(148,1),(193,1),(196,1),(209,1),(227,1)}
       167:{3,4,5}:{(133,1),(139,1),(194,1),(195,1)}
       168:{1,4,6}:{(133,1),(134,1),(149,1),(195,1),(196,1)}
       169:{1,3,5,7}:{(134,1),(135,1),(141,1),(150,1),(193,1),(196,1),(200,1),(224,1)}
       170:{1,2,4}:{(136,1),(137,1),(138,1),(197,1)}
       171:{2,3,5}:{(137,1),(139,1),(194,1),(197,1),(198,1)}
       172:{1,3,5}:{(138,1),(139,1),(142,1),(197,1),(199,1)}
       173:{3,6}:{(139,1),(140,1),(200,1)}
       174:{1,2,4,7}:{(140,1),(141,1),(144,1),(196,1),(200,1),(201,1),(225,1),(226,1)}
       175:{1,4,6}:{(142,1),(143,1),(151,1),(199,1),(201,1)}
       176:{3,4,7}:{(143,1),(144,1),(152,1),(200,1),(201,1)}
       177:{3,6,7}:{(145,1),(152,1),(202,1)}
       178:{3,6,7}:{(146,1),(154,1),(203,1)}
       179:{4,5,6}:{(147,1),(149,1),(205,1)}
       180:{3,5,7}:{(147,1),(148,1),(156,1),(193,1),(205,1)}
       181:{4,7}:{(149,1),(150,1)}
       182:{1,5,7}:{(151,1),(152,1),(201,1),(202,1)}
       183:{2,5,7}:{(153,1),(154,1),(164,1),(203,1)}
       184:{2,5,6,7}:{(156,1),(204,1),(206,1),(230,1)}
       185:{3,5,6}:{(155,1),(158,1),(207,1),(208,1)}
       186:{2,4,5,7}:{(155,1),(156,1),(159,1),(205,1),(206,1),(208,1)}
       187:{1,4,6}:{(157,1),(158,1),(162,1),(207,1),(209,1)}
       188:{3,4,7}:{(158,1),(159,1),(163,1),(208,1),(209,1)}
       189:{1,2,6}:{(160,1),(161,1),(162,1),(210,1)}
       190:{2,3,7}:{(161,1),(163,1),(164,1),(210,1)}
       191:{1,3,7}:{(162,1),(163,1),(209,1),(210,1)}
       192:{1,4,5,6}:{(165,1),(168,1),(179,1),(212,1),(213,1)}
       193:{1,5,7}:{(165,1),(166,1),(180,1)}
       194:{2,4,5}:{(167,1),(171,1),(214,1)}
       195:{3,4,6}:{(167,1),(168,1),(173,1),(212,1),(214,1),(215,1)}
       196:{1,4,7}:{(168,1),(169,1),(181,1),(215,1)}
       197:{1,2,5}:{(170,1),(171,1),(172,1),(216,1)}
       198:{2,3,6}:{(171,1),(173,1),(214,1),(216,1),(217,1)}
       199:{1,3,6}:{(172,1),(173,1),(175,1),(216,1),(218,1)}
       200:{3,7}:{(173,1),(174,1)}
       201:{1,4,7}:{(175,1),(176,1),(182,1),(218,1)}
       202:{1,6,7}:{(177,1),(182,1)}
       203:{2,6,7}:{(178,1),(183,1)}
       204:{3,5,6,7}:{(180,1),(184,1),(211,1),(219,1),(220,1),(228,1)}
       205:{4,5,7}:{(179,1),(180,1),(181,1),(219,1)}
       206:{2,4,6,7}:{(184,1),(186,1),(219,1),(220,1)}
       207:{1,5,6}:{(185,1),(187,1),(221,1)}
       208:{3,5,7}:{(185,1),(186,1),(188,1),(220,1),(221,1)}
       209:{1,4,7}:{(187,1),(188,1),(191,1),(221,1)}
       210:{1,2,7}:{(189,1),(190,1),(191,1)}
       211:{1,5,6,7}:{(193,1),(204,1),(222,1),(227,1)}
       212:{3,5,6}:{(192,1),(195,1),(223,1),(224,1)}
       213:{1,4,5,7}:{(192,1),(193,1),(196,1),(205,1),(222,1),(224,1)}
       214:{2,4,6}:{(194,1),(195,1),(198,1),(223,1),(225,1)}
       215:{3,4,7}:{(195,1),(196,1),(200,1),(224,1),(225,1)}
       216:{1,2,6}:{(197,1),(198,1),(199,1),(226,1)}
       217:{2,3,7}:{(198,1),(200,1),(225,1),(226,1)}
       218:{1,3,7}:{(199,1),(200,1),(201,1),(226,1)}
       219:{4,6,7}:{(204,1),(205,1)}
       220:{3,6,7}:{(206,1),(208,1),(227,1)}
       221:{1,5,7}:{(207,1),(208,1),(209,1),(227,1)}
       222:{1,4,6,7}:{(211,1),(213,1),(219,1),(228,1)}
       223:{2,5,6}:{(212,1),(214,1),(229,1)}
       224:{3,5,7}:{(212,1),(213,1),(215,1),(228,1),(229,1)}
       225:{2,4,7}:{(214,1),(215,1),(217,1),(229,1)}
       226:{1,2,7}:{(216,1),(217,1),(218,1)}
       227:{1,6,7}:{(220,1),(221,1)}
       228:{3,6,7}:{(222,1),(224,1),(230,1)}
       229:{2,5,7}:{(223,1),(224,1),(225,1),(230,1)}
       230:{2,6,7}:{(228,1),(229,1)}

1341 :   0:{1,5,6,7}:{(2,1),(6,1),(87,1),(91,1)}
         1:{1,3,4,7}:{(5,1),(7,1),(8,1),(78,1),(96,1),(100,1),(155,1),(189,1)}
         2:{3,5,6,7}:{(0,1),(9,1),(12,1),(21,1),(54,1),(58,1)}
         3:{3,4,5,7}:{(13,1),(14,1),(15,1),(16,1),(49,1),(58,1),(64,1),(67,1),(111,1),(170,1),(171,1)}
         4:{1,4,5,6}:{(11,1),(17,1),(18,1),(59,1),(68,1)}
         5:{1,3,4,6}:{(1,1),(19,1),(20,1),(22,1),(68,1),(125,1),(130,1),(131,1),(174,1)}
         6:{1,4,6,7}:{(0,1),(12,1),(17,1),(21,1)}
         7:{1,3,5,7}:{(1,1),(14,1),(19,1),(22,1),(23,1),(64,1),(109,1),(160,1),(200,1)}
         8:{1,2,4,7}:{(1,1),(20,1),(23,1),(24,1),(77,1),(110,1)}
         9:{2,5,6,7}:{(2,1),(27,1),(46,1),(92,1)}
        10:{2,3,4,7}:{(26,1),(28,1),(29,1),(36,1),(96,1),(140,1),(182,1),(202,1)}
        11:{4,5,6}:{(30,1),(31,1),(149,1)}
        12:{4,6,7}:{(2,1),(30,1)}
        13:{3,4,6}:{(3,1),(31,1),(33,1),(34,1),(95,1),(149,1)}
        14:{1,4,5,7}:{(3,1),(7,1),(33,1),(38,1),(80,1),(91,1),(100,1),(139,1)}
        15:{2,4,5,7}:{(3,1),(28,1),(34,1),(39,1),(81,1),(92,1),(101,1),(140,1)}
        16:{3,4,5}:{(37,1),(38,1),(39,1),(103,1)}
        17:{1,4,5,7}:{(4,1),(6,1),(30,1),(40,1),(91,1),(100,1)}
        18:{3,5,6}:{(4,1),(37,1),(40,1),(42,1)}
        19:{1,3,5}:{(5,1),(38,1),(43,1),(103,1),(151,1),(190,1)}
        20:{1,2,4,6}:{(5,1),(8,1),(43,1),(44,1),(47,1),(106,1),(108,1)}
        21:{3,6,7}:{(6,1),(40,1),(46,1)}
        22:{1,3,6}:{(7,1),(33,1),(47,1),(95,1),(206,1)}
        23:{1,2,5,7}:{(7,1),(8,1),(43,1),(47,1),(48,1),(137,1),(179,1)}
        24:{2,3,7}:{(8,1),(44,1),(138,1),(155,1)}
        25:{2,4,5,6}:{(11,1),(50,1),(51,1),(60,1),(113,1)}
        26:{2,3,4,6}:{(10,1),(52,1),(53,1),(55,1),(113,1),(125,1),(164,1),(165,1),(194,1)}
        27:{2,4,6,7}:{(9,1),(12,1),(50,1),(54,1)}
        28:{2,3,5,7}:{(10,1),(15,1),(52,1),(55,1),(56,1),(64,1),(65,1),(126,1),(207,1)}
        29:{1,2,4,7}:{(10,1),(53,1),(56,1),(57,1),(66,1),(121,1)}
        30:{4,5,7}:{(11,1),(12,1),(58,1),(170,1)}
        31:{3,5,6}:{(11,1),(13,1),(58,1),(59,1),(60,1)}
        32:{3,4,6,7}:{(12,1),(13,1),(21,1),(54,1),(58,1),(61,1),(62,1),(67,1),(111,1),(124,1),(170,1)}
        33:{1,4,6}:{(13,1),(14,1),(22,1),(59,1)}
        34:{2,4,6}:{(13,1),(15,1),(55,1),(60,1)}
        35:{1,2,4,5,7}:{(14,1),(15,1),(23,1),(56,1),(63,1),(64,1),(70,1),(77,1),(114,1),(121,1),(122,1),(129,1),(135,1),(163,1),(169,1),(170,1),(171,1),(177,1),(197,1),(200,1),(207,1)}
        36:{2,3,4}:{(65,1),(66,1),(131,1)}
        37:{3,4,6}:{(16,1),(18,1),(67,1),(68,1),(69,1),(130,1)}
        38:{1,4,5}:{(16,1),(19,1),(68,1),(171,1)}
        39:{2,4,5}:{(16,1),(65,1),(69,1)}
        40:{3,5,7}:{(17,1),(18,1),(21,1),(67,1),(72,1)}
        41:{1,3,5,6}:{(18,1),(19,1),(22,1),(59,1),(68,1),(71,1),(73,1),(123,1),(130,1)}
        42:{2,5,6}:{(18,1),(69,1),(72,1)}
        43:{1,2,5}:{(19,1),(20,1),(74,1),(135,1)}
        44:{2,3,6}:{(20,1),(24,1),(74,1),(130,1)}
        45:{1,3,6,7}:{(21,1),(22,1),(61,1),(71,1),(75,1),(124,1),(160,1)}
        46:{2,6,7}:{(21,1),(72,1)}
        47:{1,2,6}:{(22,1),(23,1),(76,1)}
        48:{2,3,5,7}:{(23,1),(24,1),(64,1),(74,1),(76,1),(77,1),(135,1),(162,1),(193,1),(207,1)}
        49:{3,4,5}:{(79,1),(80,1),(81,1),(142,1)}
        50:{2,4,5,7}:{(25,1),(27,1),(30,1),(82,1),(92,1),(140,1)}
        51:{3,5,6}:{(25,1),(79,1),(82,1),(83,1)}
        52:{2,3,5}:{(26,1),(81,1),(85,1),(142,1),(151,1),(203,1)}
        53:{1,2,4,6}:{(26,1),(29,1),(85,1),(86,1),(89,1),(145,1),(147,1)}
        54:{3,6,7}:{(27,1),(82,1),(87,1)}
        55:{2,3,6}:{(28,1),(34,1),(89,1),(95,1),(209,1)}
        56:{1,2,5,7}:{(28,1),(29,1),(85,1),(89,1),(90,1),(98,1),(152,1)}
        57:{1,3,7}:{(29,1),(86,1),(99,1),(182,1)}
        58:{3,5,7}:{(30,1),(31,1),(32,1),(91,1),(92,1)}
        59:{1,5,6}:{(31,1),(33,1),(91,1)}
        60:{2,5,6}:{(31,1),(34,1),(92,1)}
        61:{1,4,6,7}:{(32,1),(33,1),(45,1),(87,1),(91,1),(100,1),(139,1)}
        62:{2,4,6,7}:{(32,1),(34,1),(46,1),(88,1),(92,1),(101,1),(140,1)}
        63:{1,2,4,6}:{(33,1),(34,1),(35,1),(47,1),(89,1),(93,1),(95,1),(108,1),(147,1),(149,1),(192,1),(205,1),(206,1),(209,1)}
        64:{3,5,7}:{(35,1),(95,1),(96,1),(103,1),(142,1),(151,1),(155,1),(182,1)}
        65:{2,3,5}:{(36,1),(39,1),(97,1),(98,1),(103,1)}
        66:{1,2,4}:{(36,1),(98,1),(99,1),(154,1)}
        67:{3,4,7}:{(37,1),(40,1),(100,1),(101,1),(155,1)}
        68:{1,4,6}:{(37,1),(38,1),(41,1),(100,1),(149,1)}
        69:{2,4,6}:{(37,1),(39,1),(42,1),(97,1),(101,1)}
        70:{1,2,4,5}:{(38,1),(39,1),(43,1),(98,1),(102,1),(103,1),(106,1),(154,1),(158,1),(190,1)}
        71:{1,3,5,7}:{(40,1),(41,1),(45,1),(91,1),(100,1),(104,1),(148,1),(155,1)}
        72:{2,5,7}:{(40,1),(42,1),(46,1),(101,1)}
        73:{1,2,5,6}:{(41,1),(42,1),(43,1),(47,1),(102,1),(104,1),(105,1),(190,1),(206,1)}
        74:{2,3,5}:{(43,1),(44,1),(103,1),(106,1)}
        75:{1,2,6,7}:{(45,1),(46,1),(47,1),(104,1),(107,1),(179,1),(206,1)}
        76:{2,3,6}:{(47,1),(48,1),(95,1),(108,1),(209,1)}
        77:{2,4,7}:{(48,1),(96,1),(106,1),(108,1),(181,1)}
        78:{1,3,4}:{(109,1),(110,1),(165,1)}
        79:{3,4,6}:{(49,1),(51,1),(111,1),(112,1),(113,1),(164,1)}
        80:{1,4,5}:{(49,1),(109,1),(112,1)}
        81:{2,4,5}:{(49,1),(52,1),(113,1),(171,1)}
        82:{3,5,7}:{(50,1),(51,1),(54,1),(111,1),(115,1)}
        83:{1,5,6}:{(51,1),(112,1),(115,1)}
        84:{2,3,5,6}:{(51,1),(52,1),(55,1),(60,1),(113,1),(116,1),(117,1),(123,1),(164,1)}
        85:{1,2,5}:{(52,1),(53,1),(118,1),(169,1)}
        86:{1,3,6}:{(53,1),(57,1),(118,1),(164,1)}
        87:{1,6,7}:{(54,1),(115,1)}
        88:{2,3,6,7}:{(54,1),(55,1),(62,1),(116,1),(119,1),(124,1),(126,1)}
        89:{1,2,6}:{(55,1),(56,1),(120,1)}
        90:{1,3,5,7}:{(56,1),(57,1),(64,1),(118,1),(120,1),(121,1),(128,1),(169,1),(173,1),(200,1)}
        91:{1,5,7}:{(58,1),(59,1),(61,1)}
        92:{2,5,7}:{(58,1),(60,1),(62,1)}
        93:{1,2,5,6}:{(59,1),(60,1),(63,1),(122,1),(123,1),(135,1),(169,1),(178,1),(198,1)}
        94:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(75,1),(119,1),(122,1),(124,1),(129,1),(134,1),(163,1),(168,1),(170,1)}
        95:{3,6}:{(63,1),(64,1)}
        96:{3,4,7}:{(64,1),(77,1),(121,1),(125,1),(131,1),(165,1),(170,1)}
        97:{2,3,6}:{(65,1),(69,1),(126,1),(127,1),(130,1)}
        98:{1,2,5}:{(65,1),(66,1),(127,1),(128,1)}
        99:{1,3}:{(66,1)}
       100:{1,4,7}:{(67,1),(68,1),(71,1),(170,1)}
       101:{2,4,7}:{(67,1),(69,1),(72,1),(126,1)}
       102:{1,2,4,6}:{(68,1),(69,1),(70,1),(73,1),(127,1),(129,1),(130,1),(133,1),(174,1)}
       103:{3,5}:{(70,1),(130,1),(131,1)}
       104:{1,2,5,7}:{(71,1),(72,1),(73,1),(75,1),(129,1),(132,1),(200,1)}
       105:{2,3,5,6}:{(73,1),(74,1),(76,1),(123,1),(130,1),(132,1),(133,1),(135,1),(176,1),(178,1),(201,1)}
       106:{2,4}:{(74,1),(131,1)}
       107:{2,3,6,7}:{(75,1),(76,1),(124,1),(132,1),(134,1),(193,1),(201,1)}
       108:{2,4,6}:{(76,1),(77,1),(125,1),(135,1)}
       109:{1,3,5}:{(78,1),(80,1),(136,1),(137,1),(142,1)}
       110:{1,2,4}:{(78,1),(137,1),(138,1),(181,1)}
       111:{3,4,7}:{(79,1),(82,1),(139,1),(140,1),(182,1)}
       112:{1,4,6}:{(79,1),(80,1),(83,1),(136,1),(139,1)}
       113:{2,4,6}:{(79,1),(81,1),(84,1),(140,1),(149,1)}
       114:{1,2,4,5}:{(80,1),(81,1),(85,1),(137,1),(141,1),(142,1),(145,1),(181,1),(185,1),(203,1)}
       115:{1,5,7}:{(82,1),(83,1),(87,1),(139,1)}
       116:{2,3,5,7}:{(82,1),(84,1),(88,1),(92,1),(140,1),(143,1),(148,1),(182,1)}
       117:{1,2,5,6}:{(83,1),(84,1),(85,1),(89,1),(141,1),(143,1),(144,1),(203,1),(209,1)}
       118:{1,3,5}:{(85,1),(86,1),(142,1),(145,1)}
       119:{1,2,6,7}:{(87,1),(88,1),(89,1),(143,1),(146,1),(152,1),(209,1)}
       120:{1,3,6}:{(89,1),(90,1),(95,1),(147,1),(206,1)}
       121:{1,4,7}:{(90,1),(96,1),(145,1),(147,1),(154,1)}
       122:{1,2,5,7}:{(91,1),(92,1),(93,1),(94,1),(148,1),(159,1),(186,1)}
       123:{3,5,6}:{(93,1),(95,1),(148,1),(149,1),(151,1)}
       124:{3,6,7}:{(94,1),(95,1),(148,1),(155,1),(182,1)}
       125:{3,4,6}:{(95,1),(96,1),(108,1),(147,1),(149,1),(151,1)}
       126:{2,3,7}:{(97,1),(101,1),(152,1),(155,1)}
       127:{1,2,6}:{(97,1),(98,1),(152,1),(153,1)}
       128:{1,3,5}:{(98,1),(99,1),(103,1),(153,1),(154,1),(190,1)}
       129:{1,2,4,7}:{(100,1),(101,1),(102,1),(104,1),(152,1),(155,1),(157,1),(189,1)}
       130:{3,6}:{(102,1),(103,1),(155,1)}
       131:{3,4}:{(103,1),(106,1),(154,1)}
       132:{2,3,5,7}:{(104,1),(105,1),(107,1),(148,1),(155,1),(157,1),(159,1),(191,1)}
       133:{2,4,6}:{(105,1),(106,1),(149,1),(156,1),(157,1),(158,1)}
       134:{2,4,6,7}:{(107,1),(108,1),(150,1),(157,1),(159,1),(192,1),(202,1),(209,1)}
       135:{2,5}:{(108,1),(151,1)}
       136:{1,3,6}:{(109,1),(112,1),(160,1),(161,1),(164,1)}
       137:{1,2,5}:{(109,1),(110,1),(161,1),(162,1)}
       138:{2,3}:{(110,1)}
       139:{1,4,7}:{(111,1),(112,1),(115,1),(160,1)}
       140:{2,4,7}:{(111,1),(113,1),(116,1),(170,1)}
       141:{1,2,4,6}:{(112,1),(113,1),(114,1),(117,1),(161,1),(163,1),(164,1),(167,1),(194,1)}
       142:{3,5}:{(114,1),(164,1),(165,1)}
       143:{1,2,5,7}:{(115,1),(116,1),(117,1),(119,1),(163,1),(166,1),(207,1)}
       144:{1,3,5,6}:{(117,1),(118,1),(120,1),(123,1),(164,1),(166,1),(167,1),(169,1),(196,1),(198,1),(208,1)}
       145:{1,4}:{(118,1),(165,1)}
       146:{1,3,6,7}:{(119,1),(120,1),(124,1),(166,1),(168,1),(173,1),(208,1)}
       147:{1,4,6}:{(120,1),(121,1),(125,1),(169,1)}
       148:{3,5,7}:{(122,1),(123,1),(124,1),(170,1)}
       149:{4,6}:{(123,1),(170,1),(171,1)}
       150:{3,4,6,7}:{(124,1),(125,1),(134,1),(168,1),(170,1),(172,1),(175,1),(195,1),(199,1),(201,1),(208,1)}
       151:{3,5}:{(125,1),(135,1),(169,1),(171,1)}
       152:{1,2,7}:{(126,1),(127,1),(173,1)}
       153:{1,3,6}:{(127,1),(128,1),(130,1),(173,1),(174,1)}
       154:{1,4}:{(128,1),(131,1)}
       155:{3,7}:{(129,1),(130,1)}
       156:{3,4,6}:{(130,1),(131,1),(133,1),(174,1),(175,1),(176,1),(201,1)}
       157:{2,4,7}:{(132,1),(133,1),(170,1),(175,1)}
       158:{2,4,5}:{(133,1),(135,1),(171,1),(176,1)}
       159:{2,5,7}:{(134,1),(135,1),(172,1),(178,1)}
       160:{1,3,7}:{(136,1),(139,1),(179,1),(182,1)}
       161:{1,2,6}:{(136,1),(137,1),(179,1),(180,1)}
       162:{2,3,5}:{(137,1),(138,1),(142,1),(180,1),(181,1),(203,1)}
       163:{1,2,4,7}:{(139,1),(140,1),(141,1),(143,1),(179,1),(182,1),(184,1),(202,1)}
       164:{3,6}:{(141,1),(142,1),(182,1)}
       165:{3,4}:{(142,1),(145,1),(181,1)}
       166:{1,3,5,7}:{(143,1),(144,1),(146,1),(148,1),(182,1),(184,1),(186,1),(204,1)}
       167:{1,4,6}:{(144,1),(145,1),(149,1),(183,1),(184,1),(185,1)}
       168:{1,4,6,7}:{(146,1),(147,1),(150,1),(184,1),(186,1),(189,1),(205,1),(206,1)}
       169:{1,5}:{(147,1),(151,1)}
       170:{4,7}:{(148,1),(149,1)}
       171:{4,5}:{(149,1),(151,1)}
       172:{3,5,7}:{(150,1),(151,1),(159,1),(186,1),(187,1),(188,1)}
       173:{1,3,7}:{(152,1),(153,1),(155,1),(189,1)}
       174:{1,4,6}:{(153,1),(154,1),(156,1),(189,1),(190,1),(206,1)}
       175:{3,4,7}:{(155,1),(156,1),(157,1),(189,1),(191,1)}
       176:{3,5}:{(156,1),(158,1),(190,1)}
       177:{2,4,5,7}:{(157,1),(158,1),(159,1),(187,1),(191,1),(192,1)}
       178:{2,5,6}:{(159,1),(188,1),(192,1),(209,1)}
       179:{1,2,7}:{(160,1),(161,1),(193,1)}
       180:{2,3,6}:{(161,1),(162,1),(164,1),(193,1),(194,1)}
       181:{2,4}:{(162,1),(165,1)}
       182:{3,7}:{(163,1),(164,1)}
       183:{3,4,6}:{(164,1),(165,1),(167,1),(194,1),(195,1),(196,1),(208,1)}
       184:{1,4,7}:{(166,1),(167,1),(170,1),(195,1)}
       185:{1,4,5}:{(167,1),(169,1),(171,1),(196,1)}
       186:{1,5,7}:{(168,1),(169,1),(172,1),(198,1)}
       187:{4,5,7}:{(170,1),(171,1),(172,1),(199,1)}
       188:{3,5,6}:{(172,1),(178,1),(198,1),(199,1),(201,1),(208,1)}
       189:{1,4,7}:{(173,1),(174,1),(175,1),(200,1)}
       190:{1,5}:{(174,1),(176,1)}
       191:{3,5,7}:{(175,1),(176,1),(177,1),(200,1),(201,1)}
       192:{2,4,6}:{(177,1),(178,1),(199,1),(201,1)}
       193:{2,3,7}:{(179,1),(180,1),(182,1),(202,1)}
       194:{2,4,6}:{(180,1),(181,1),(183,1),(202,1),(203,1),(209,1)}
       195:{3,4,7}:{(182,1),(183,1),(184,1),(202,1),(204,1)}
       196:{3,5}:{(183,1),(185,1),(203,1)}
       197:{1,4,5,7}:{(184,1),(185,1),(186,1),(187,1),(204,1),(205,1)}
       198:{1,5,6}:{(186,1),(188,1),(205,1),(206,1)}
       199:{4,6}:{(187,1),(188,1)}
       200:{1,5,7}:{(189,1),(190,1),(191,1),(206,1)}
       201:{3,6}:{(191,1),(192,1),(206,1)}
       202:{2,4,7}:{(193,1),(194,1),(195,1),(207,1)}
       203:{2,5}:{(194,1),(196,1)}
       204:{3,5,7}:{(195,1),(196,1),(197,1),(207,1),(208,1)}
       205:{1,4,6}:{(197,1),(198,1),(199,1),(208,1)}
       206:{1,6}:{(200,1),(201,1)}
       207:{2,5,7}:{(202,1),(203,1),(204,1),(209,1)}
       208:{3,6}:{(204,1),(205,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

1342 :   0:{1,2,3}:{(4,1)}
         1:{1,3,4}:{(4,1),(5,1),(24,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(8,1),(10,1),(15,1),(33,1),(38,1),(42,1)}
         3:{3,4,5}:{(11,1),(12,1),(13,1),(42,1),(71,1)}
         4:{1,2,4}:{(0,1),(1,1),(14,1),(15,1)}
         5:{1,3,5}:{(1,1),(12,1),(15,1),(16,1),(42,1)}
         6:{1,2,3}:{(17,1)}
         7:{2,3,4}:{(17,1),(18,1),(24,1)}
         8:{1,2,3,6}:{(2,1),(19,1),(21,1),(30,1),(50,1),(60,1)}
         9:{4,5,6}:{(22,1),(23,1),(83,1),(97,1)}
        10:{1,2,4}:{(2,1),(24,1)}
        11:{2,4,5}:{(3,1),(18,1),(26,1)}
        12:{1,4,5}:{(3,1),(5,1),(27,1)}
        13:{3,4,6}:{(3,1),(22,1),(26,1),(27,1),(28,1),(60,1),(83,1)}
        14:{2,3,4}:{(4,1),(24,1),(29,1)}
        15:{1,2,5}:{(4,1),(5,1),(29,1),(30,1)}
        16:{1,3,6}:{(5,1),(27,1),(30,1),(31,1),(60,1)}
        17:{1,2,4}:{(6,1),(7,1),(32,1),(33,1)}
        18:{2,3,5}:{(7,1),(11,1),(33,1),(34,1),(42,1)}
        19:{1,2,3,7}:{(8,1),(35,1),(48,1),(66,1),(75,1)}
        20:{5,6,7}:{(36,1),(102,1)}
        21:{1,2,4,6}:{(8,1),(10,1),(35,1),(37,1),(38,1),(68,1)}
        22:{3,5,6}:{(9,1),(13,1),(39,1),(40,1),(41,1)}
        23:{4,5,7}:{(9,1),(36,1),(41,1),(93,1),(102,1)}
        24:{3,4}:{(10,1),(42,1)}
        25:{1,2,4,5}:{(10,1),(11,1),(12,1),(15,1),(33,1),(38,1),(42,1),(43,1),(46,1),(64,1),(71,1)}
        26:{2,4,6}:{(11,1),(13,1),(34,1),(39,1),(44,1)}
        27:{1,4,6}:{(12,1),(13,1),(16,1),(40,1),(45,1)}
        28:{3,4,7}:{(13,1),(41,1),(44,1),(45,1),(75,1),(93,1)}
        29:{2,3,5}:{(14,1),(15,1),(42,1),(46,1),(47,1)}
        30:{1,2,6}:{(15,1),(16,1),(47,1),(48,1)}
        31:{1,3,7}:{(16,1),(45,1),(48,1),(75,1)}
        32:{1,3,4}:{(17,1),(24,1),(49,1)}
        33:{1,2,5}:{(17,1),(18,1),(49,1),(50,1)}
        34:{2,3,6}:{(18,1),(26,1),(50,1),(51,1),(60,1)}
        35:{1,2,4,7}:{(19,1),(21,1),(52,1),(53,1)}
        36:{4,6,7}:{(20,1),(23,1),(54,1)}
        37:{3,4,6}:{(21,1),(24,1),(52,1),(55,1),(60,1),(81,1),(83,1)}
        38:{1,2,5}:{(21,1),(55,1)}
        39:{2,5,6}:{(22,1),(26,1),(57,1)}
        40:{1,5,6}:{(22,1),(27,1),(58,1)}
        41:{3,5,7}:{(22,1),(23,1),(28,1),(54,1),(57,1),(58,1)}
        42:{3,5}:{(24,1),(25,1),(60,1)}
        43:{1,2,4,6}:{(25,1),(26,1),(27,1),(30,1),(50,1),(56,1),(60,1),(61,1),(62,1),(78,1),(83,1)}
        44:{2,4,7}:{(26,1),(28,1),(51,1),(57,1)}
        45:{1,4,7}:{(27,1),(28,1),(31,1),(58,1)}
        46:{2,4,5}:{(29,1),(59,1),(62,1)}
        47:{2,3,6}:{(29,1),(30,1),(60,1),(62,1),(63,1)}
        48:{1,2,7}:{(30,1),(31,1),(63,1)}
        49:{1,3,5}:{(32,1),(33,1),(42,1),(64,1),(65,1)}
        50:{1,2,6}:{(33,1),(34,1),(65,1),(66,1)}
        51:{2,3,7}:{(34,1),(44,1),(66,1),(75,1)}
        52:{3,4,7}:{(35,1),(37,1),(67,1),(75,1),(93,1)}
        53:{1,2,5,7}:{(35,1),(38,1),(67,1),(68,1)}
        54:{3,6,7}:{(36,1),(41,1),(69,1),(70,1)}
        55:{3,5}:{(37,1),(38,1),(71,1)}
        56:{1,2,5,6}:{(38,1),(39,1),(40,1),(43,1),(68,1),(72,1),(73,1),(76,1),(88,1)}
        57:{2,5,7}:{(39,1),(41,1),(44,1),(69,1)}
        58:{1,5,7}:{(40,1),(41,1),(45,1),(70,1)}
        59:{3,4,5}:{(42,1),(46,1),(64,1),(71,1),(74,1)}
        60:{3,6}:{(42,1),(43,1),(75,1)}
        61:{1,2,4,7}:{(43,1),(44,1),(45,1),(48,1),(66,1),(73,1),(75,1),(77,1),(89,1),(93,1)}
        62:{2,4,6}:{(46,1),(47,1),(74,1),(76,1),(77,1)}
        63:{2,3,7}:{(47,1),(48,1),(75,1),(77,1)}
        64:{1,4,5}:{(49,1),(59,1),(78,1)}
        65:{1,3,6}:{(49,1),(50,1),(60,1),(78,1),(79,1)}
        66:{1,2,7}:{(50,1),(51,1),(79,1)}
        67:{3,5,7}:{(52,1),(53,1),(55,1),(80,1),(81,1)}
        68:{1,2,6}:{(53,1),(81,1)}
        69:{2,6,7}:{(54,1),(57,1)}
        70:{1,6,7}:{(54,1),(58,1)}
        71:{4,5}:{(55,1),(83,1)}
        72:{3,5,6}:{(55,1),(56,1),(60,1),(81,1),(83,1),(84,1),(97,1)}
        73:{1,2,5,7}:{(56,1),(57,1),(58,1),(61,1),(82,1),(84,1),(87,1),(96,1)}
        74:{3,4,6}:{(59,1),(60,1),(62,1),(78,1),(83,1),(85,1),(86,1)}
        75:{3,7}:{(60,1),(61,1)}
        76:{2,5,6}:{(62,1),(85,1),(87,1)}
        77:{2,4,7}:{(62,1),(63,1),(86,1),(87,1)}
        78:{1,4,6}:{(64,1),(65,1),(74,1),(88,1),(89,1)}
        79:{1,3,7}:{(65,1),(66,1),(75,1),(89,1)}
        80:{4,5,7}:{(67,1),(71,1),(90,1),(93,1),(102,1)}
        81:{3,6}:{(67,1),(68,1),(90,1)}
        82:{1,2,6,7}:{(68,1),(69,1),(70,1),(73,1),(91,1),(95,1),(101,1)}
        83:{4,6}:{(71,1),(72,1),(93,1)}
        84:{3,5,7}:{(72,1),(73,1),(75,1),(91,1),(93,1),(102,1)}
        85:{3,5,6}:{(74,1),(76,1),(88,1),(92,1),(94,1)}
        86:{3,4,7}:{(74,1),(75,1),(77,1),(89,1),(93,1),(94,1)}
        87:{2,5,7}:{(76,1),(77,1),(94,1),(95,1)}
        88:{1,5,6}:{(78,1),(85,1),(96,1)}
        89:{1,4,7}:{(78,1),(79,1),(86,1),(96,1)}
        90:{4,6}:{(80,1),(81,1),(97,1)}
        91:{3,6,7}:{(81,1),(82,1),(84,1),(98,1)}
        92:{4,5,6}:{(83,1),(85,1),(97,1),(99,1)}
        93:{4,7}:{(83,1),(84,1)}
        94:{3,5,7}:{(85,1),(86,1),(87,1),(96,1),(99,1),(100,1)}
        95:{2,6,7}:{(87,1),(100,1)}
        96:{1,5,7}:{(88,1),(89,1),(94,1),(101,1)}
        97:{5,6}:{(90,1),(102,1)}
        98:{4,6,7}:{(90,1),(91,1),(93,1),(102,1)}
        99:{4,5,7}:{(92,1),(93,1),(94,1),(102,1),(103,1)}
       100:{3,6,7}:{(94,1),(95,1),(101,1),(103,1)}
       101:{1,6,7}:{(96,1),(100,1)}
       102:{5,7}:{(97,1),(98,1)}
       103:{4,6,7}:{(99,1),(100,1),(104,1)}
       104:{5,6,7}:{(102,1),(103,1)}

1343 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(14,1),(18,1),(38,1),(42,1),(74,1),(75,1),(76,1),(102,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(62,1),(63,1),(87,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(27,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(61,1),(88,1),(101,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(15,1),(43,1),(95,1)}
         5:{3,4,6}:{(3,1),(10,1),(12,1),(13,1),(14,1),(47,1),(78,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(44,1),(45,1),(48,1),(76,1)}
         7:{3,5,7}:{(2,1),(3,1),(12,1),(15,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(16,1),(18,1),(35,1),(47,1),(68,1),(70,1),(74,1),(91,1),(95,1),(102,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(32,1),(47,1),(66,1),(72,1),(75,1),(93,1),(95,1),(103,1)}
        10:{3,4,5}:{(5,1),(22,1),(23,1),(61,1),(101,1)}
        11:{4,6,7}:{(4,1),(24,1),(100,1)}
        12:{3,4,7}:{(5,1),(7,1),(26,1),(27,1),(65,1)}
        13:{1,4,6}:{(5,1),(8,1),(22,1),(26,1),(83,1),(100,1)}
        14:{2,4,6}:{(5,1),(9,1),(23,1),(27,1),(86,1),(100,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(26,1),(29,1),(31,1),(62,1),(65,1),(90,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(27,1),(30,1),(31,1),(63,1),(65,1),(90,1)}
        18:{1,2,5,6}:{(8,1),(9,1),(28,1),(31,1),(50,1),(54,1),(81,1),(84,1)}
        19:{2,3,4,6}:{(14,1),(32,1),(33,1),(34,1),(47,1),(66,1),(78,1),(96,1)}
        20:{1,3,4,6}:{(13,1),(35,1),(36,1),(37,1),(47,1),(70,1),(78,1),(96,1)}
        21:{3,4,5,7}:{(10,1),(12,1),(39,1),(40,1),(41,1),(43,1),(77,1),(97,1),(104,1)}
        22:{1,4,5}:{(10,1),(13,1),(35,1),(102,1),(104,1)}
        23:{2,4,5}:{(10,1),(14,1),(32,1),(103,1),(104,1)}
        24:{4,5,7}:{(11,1),(38,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(15,1),(39,1),(43,1),(44,1),(45,1),(80,1),(96,1),(97,1)}
        26:{1,4,7}:{(12,1),(13,1),(16,1),(97,1)}
        27:{2,4,7}:{(12,1),(14,1),(17,1),(97,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(18,1),(42,1),(46,1),(47,1)}
        29:{1,3,6,7}:{(15,1),(16,1),(44,1),(48,1),(70,1),(80,1),(91,1)}
        30:{2,3,6,7}:{(15,1),(17,1),(45,1),(48,1),(66,1),(80,1),(93,1)}
        31:{1,2,5,7}:{(16,1),(17,1),(18,1),(46,1),(48,1)}
        32:{2,3,5}:{(19,1),(23,1),(50,1),(61,1),(101,1)}
        33:{2,3,4,7}:{(19,1),(27,1),(49,1),(51,1),(65,1),(89,1)}
        34:{1,2,4,6}:{(19,1),(50,1),(51,1),(52,1),(81,1),(83,1),(98,1)}
        35:{1,3,5}:{(20,1),(22,1),(54,1),(61,1),(101,1)}
        36:{1,3,4,7}:{(20,1),(26,1),(53,1),(55,1),(65,1),(89,1)}
        37:{1,2,4,6}:{(20,1),(54,1),(55,1),(56,1),(84,1),(86,1),(99,1)}
        38:{4,5,6}:{(24,1),(57,1),(100,1)}
        39:{3,4,6}:{(21,1),(57,1),(58,1),(59,1),(88,1),(100,1)}
        40:{1,4,5,7}:{(21,1),(22,1),(26,1),(53,1),(58,1),(62,1)}
        41:{2,4,5,7}:{(21,1),(23,1),(27,1),(49,1),(59,1),(63,1)}
        42:{1,2,4,5}:{(22,1),(23,1),(28,1),(50,1),(54,1),(61,1),(83,1),(86,1)}
        43:{3,5,7}:{(24,1),(25,1),(57,1),(62,1),(63,1),(101,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(58,1),(62,1),(98,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(59,1),(63,1),(99,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(28,1),(31,1),(65,1)}
        47:{3,6}:{(28,1),(61,1),(65,1)}
        48:{1,2,6,7}:{(29,1),(30,1),(31,1),(81,1),(84,1)}
        49:{2,3,5,7}:{(32,1),(33,1),(41,1),(66,1),(67,1),(77,1)}
        50:{1,2,5}:{(32,1),(34,1),(68,1),(102,1)}
        51:{1,2,4,7}:{(33,1),(34,1),(67,1),(69,1),(92,1)}
        52:{1,3,6}:{(34,1),(47,1),(68,1),(69,1)}
        53:{1,3,5,7}:{(35,1),(36,1),(40,1),(70,1),(71,1),(77,1)}
        54:{1,2,5}:{(35,1),(37,1),(72,1),(103,1)}
        55:{1,2,4,7}:{(36,1),(37,1),(71,1),(73,1),(94,1)}
        56:{2,3,6}:{(37,1),(47,1),(72,1),(73,1)}
        57:{3,5,6}:{(38,1),(39,1),(43,1),(74,1),(75,1)}
        58:{1,4,6}:{(39,1),(40,1),(70,1),(74,1)}
        59:{2,4,6}:{(39,1),(41,1),(66,1),(75,1)}
        60:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(46,1),(67,1),(71,1),(76,1),(77,1),(79,1),(92,1),(94,1),(97,1),(102,1),(103,1),(104,1)}
        61:{3,5}:{(42,1),(47,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(74,1),(102,1)}
        63:{2,5,7}:{(43,1),(45,1),(75,1),(103,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(48,1),(76,1),(79,1),(80,1),(97,1)}
        65:{3,7}:{(46,1),(47,1)}
        66:{2,3,6}:{(49,1),(59,1),(81,1),(88,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(51,1),(81,1),(82,1)}
        68:{1,3,5}:{(50,1),(52,1),(61,1),(83,1)}
        69:{1,3,7}:{(51,1),(52,1),(65,1)}
        70:{1,3,6}:{(53,1),(58,1),(84,1),(88,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(55,1),(84,1),(85,1)}
        72:{2,3,5}:{(54,1),(56,1),(61,1),(86,1)}
        73:{2,3,7}:{(55,1),(56,1),(65,1)}
        74:{1,5,6}:{(57,1),(58,1),(62,1)}
        75:{2,5,6}:{(57,1),(59,1),(63,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(81,1),(84,1),(87,1),(88,1),(98,1),(99,1),(100,1)}
        77:{3,5,7}:{(60,1),(61,1),(65,1),(88,1),(89,1),(101,1)}
        78:{3,4}:{(61,1),(83,1),(86,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(87,1),(90,1)}
        80:{3,6,7}:{(64,1),(65,1),(88,1),(90,1)}
        81:{1,2,6}:{(66,1),(67,1),(91,1)}
        82:{1,3,5,7}:{(67,1),(68,1),(69,1),(77,1),(91,1),(92,1),(102,1)}
        83:{1,4}:{(68,1),(78,1)}
        84:{1,2,6}:{(70,1),(71,1),(93,1)}
        85:{2,3,5,7}:{(71,1),(72,1),(73,1),(77,1),(93,1),(94,1),(103,1)}
        86:{2,4}:{(72,1),(78,1)}
        87:{1,2,5,6}:{(74,1),(75,1),(76,1),(79,1),(95,1),(102,1),(103,1)}
        88:{3,6}:{(76,1),(77,1)}
        89:{3,4,7}:{(77,1),(78,1),(92,1),(94,1),(96,1),(97,1)}
        90:{3,5,7}:{(79,1),(80,1),(95,1),(97,1)}
        91:{1,3,6}:{(81,1),(82,1),(88,1),(98,1)}
        92:{1,4,7}:{(82,1),(83,1),(89,1),(98,1)}
        93:{2,3,6}:{(84,1),(85,1),(88,1),(99,1)}
        94:{2,4,7}:{(85,1),(86,1),(89,1),(99,1)}
        95:{3,5,6}:{(87,1),(88,1),(90,1),(100,1),(101,1)}
        96:{3,4,6}:{(88,1),(89,1),(98,1),(99,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(100,1)}
        98:{1,4,6}:{(91,1),(92,1),(96,1),(102,1)}
        99:{2,4,6}:{(93,1),(94,1),(96,1),(103,1)}
       100:{4,6}:{(95,1),(97,1),(104,1)}
       101:{3,5}:{(96,1),(102,1),(103,1),(104,1)}
       102:{1,5}:{(98,1),(101,1)}
       103:{2,5}:{(99,1),(101,1)}
       104:{4,5}:{(100,1),(101,1)}

1344 :   0:{4,5,6,7}:{(2,1),(52,1),(225,1)}
         1:{3,4,5,6}:{(3,1),(4,1),(5,1),(26,1),(98,1),(165,1),(208,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(7,1),(8,1),(219,1)}
         3:{3,4,5,7}:{(1,1),(6,1),(9,1),(10,1),(39,1),(73,1)}
         4:{1,4,5,6}:{(1,1),(9,1),(11,1),(175,1),(211,1)}
         5:{2,4,5,6}:{(1,1),(10,1),(12,1),(181,1),(214,1)}
         6:{3,4,6,7}:{(2,1),(3,1),(18,1),(19,1),(51,1),(52,1),(208,1)}
         7:{1,5,6,7}:{(2,1),(18,1),(221,1)}
         8:{2,5,6,7}:{(2,1),(19,1),(223,1)}
         9:{1,4,5,7}:{(3,1),(4,1),(18,1),(21,1)}
        10:{2,4,5,7}:{(3,1),(5,1),(19,1),(22,1)}
        11:{1,3,5,6}:{(4,1),(16,1),(21,1),(24,1),(26,1),(147,1),(196,1)}
        12:{2,3,5,6}:{(5,1),(17,1),(22,1),(25,1),(26,1),(153,1),(201,1)}
        13:{1,2,4,5,6}:{(4,1),(5,1),(23,1),(24,1),(25,1),(26,1),(57,1),(58,1),(98,1),(104,1),(158,1),(159,1),(162,1)}
        14:{1,3,4,5}:{(16,1),(27,1),(59,1),(108,1),(147,1)}
        15:{2,3,4,5}:{(17,1),(28,1),(59,1),(111,1),(153,1)}
        16:{1,3,4,6}:{(11,1),(14,1),(29,1),(30,1),(42,1)}
        17:{2,3,4,6}:{(12,1),(15,1),(31,1),(32,1),(42,1)}
        18:{1,4,6,7}:{(6,1),(7,1),(9,1),(33,1),(211,1)}
        19:{2,4,6,7}:{(6,1),(8,1),(10,1),(34,1),(214,1)}
        20:{1,2,5,6,7}:{(7,1),(8,1),(35,1),(36,1),(125,1),(126,1),(185,1)}
        21:{1,3,5,7}:{(9,1),(11,1),(29,1),(33,1),(37,1),(39,1)}
        22:{2,3,5,7}:{(10,1),(12,1),(31,1),(34,1),(38,1),(39,1)}
        23:{1,2,4,5,7}:{(9,1),(10,1),(13,1),(35,1),(37,1),(38,1),(39,1),(73,1),(75,1),(76,1),(125,1),(126,1)}
        24:{1,2,5,6}:{(11,1),(30,1),(37,1),(40,1),(117,1),(173,1)}
        25:{1,2,5,6}:{(12,1),(32,1),(38,1),(41,1),(122,1),(179,1)}
        26:{3,5,6}:{(13,1),(39,1),(42,1),(134,1),(189,1)}
        27:{1,2,4,5}:{(14,1),(30,1),(43,1),(79,1),(82,1),(117,1)}
        28:{1,2,4,5}:{(15,1),(32,1),(44,1),(80,1),(84,1),(122,1)}
        29:{1,3,4,7}:{(16,1),(21,1),(45,1),(55,1)}
        30:{1,2,4,6}:{(16,1),(24,1),(27,1),(45,1),(46,1),(57,1)}
        31:{2,3,4,7}:{(17,1),(22,1),(47,1),(55,1)}
        32:{1,2,4,6}:{(17,1),(25,1),(28,1),(47,1),(48,1),(58,1)}
        33:{1,3,6,7}:{(18,1),(21,1),(49,1),(51,1),(196,1)}
        34:{2,3,6,7}:{(19,1),(22,1),(50,1),(51,1),(201,1)}
        35:{1,2,4,6,7}:{(18,1),(19,1),(20,1),(23,1),(49,1),(50,1),(51,1),(52,1),(95,1),(96,1),(162,1)}
        36:{3,5,6,7}:{(20,1),(51,1),(52,1),(97,1),(206,1)}
        37:{1,2,5,7}:{(21,1),(24,1),(45,1),(49,1),(53,1)}
        38:{1,2,5,7}:{(22,1),(25,1),(47,1),(50,1),(54,1)}
        39:{3,5,7}:{(23,1),(26,1),(51,1),(55,1)}
        40:{2,3,5,6}:{(24,1),(26,1),(46,1),(53,1),(57,1),(89,1),(146,1),(158,1)}
        41:{1,3,5,6}:{(25,1),(26,1),(48,1),(54,1),(58,1),(93,1),(152,1),(159,1)}
        42:{3,4,6}:{(26,1),(55,1),(57,1),(58,1),(59,1)}
        43:{2,3,5}:{(27,1),(46,1),(61,1)}
        44:{1,3,5}:{(28,1),(48,1),(63,1)}
        45:{1,2,4,7}:{(29,1),(30,1),(37,1),(64,1),(75,1)}
        46:{2,3,6}:{(30,1),(43,1),(64,1)}
        47:{1,2,4,7}:{(31,1),(32,1),(38,1),(67,1),(76,1)}
        48:{1,3,6}:{(32,1),(44,1),(67,1)}
        49:{1,2,6,7}:{(33,1),(37,1),(70,1),(173,1)}
        50:{1,2,6,7}:{(34,1),(38,1),(71,1),(179,1)}
        51:{3,6,7}:{(35,1),(39,1),(189,1)}
        52:{4,6,7}:{(36,1),(73,1),(217,1)}
        53:{2,3,5,7}:{(37,1),(39,1),(40,1),(64,1),(70,1),(75,1),(125,1)}
        54:{1,3,5,7}:{(38,1),(39,1),(41,1),(67,1),(71,1),(76,1),(126,1)}
        55:{3,4,7}:{(39,1),(42,1),(75,1),(76,1)}
        56:{1,2,3,5,6}:{(40,1),(41,1),(65,1),(68,1),(74,1),(78,1),(117,1),(122,1),(134,1),(173,1),(176,1),(179,1),(182,1),(185,1),(189,1)}
        57:{2,4,6}:{(40,1),(42,1),(75,1),(79,1)}
        58:{1,4,6}:{(41,1),(42,1),(76,1),(80,1)}
        59:{3,4,5}:{(42,1),(79,1),(80,1),(134,1)}
        60:{1,2,3,5}:{(43,1),(65,1),(82,1),(117,1),(138,1)}
        61:{2,3,4}:{(43,1),(82,1)}
        62:{1,2,3,5}:{(44,1),(68,1),(84,1),(122,1),(141,1)}
        63:{1,3,4}:{(44,1),(84,1)}
        64:{2,3,7}:{(45,1),(46,1)}
        65:{1,2,3,6}:{(46,1),(60,1),(86,1),(88,1),(168,1)}
        66:{2,3,4,6}:{(46,1),(57,1),(61,1),(87,1),(88,1),(89,1),(103,1),(146,1)}
        67:{1,3,7}:{(47,1),(48,1)}
        68:{1,2,3,6}:{(48,1),(62,1),(90,1),(92,1),(170,1)}
        69:{1,3,4,6}:{(48,1),(58,1),(63,1),(91,1),(92,1),(93,1),(103,1),(152,1)}
        70:{2,3,6,7}:{(49,1),(51,1),(53,1),(95,1),(146,1)}
        71:{1,3,6,7}:{(50,1),(51,1),(54,1),(96,1),(152,1)}
        72:{3,4,6,7}:{(51,1),(52,1),(55,1),(95,1),(96,1),(97,1),(102,1)}
        73:{4,5,7}:{(52,1),(97,1),(98,1)}
        74:{1,2,3,5,7}:{(53,1),(54,1),(56,1),(86,1),(90,1),(94,1),(99,1),(145,1),(151,1),(157,1),(161,1),(199,1),(204,1)}
        75:{2,4,7}:{(53,1),(55,1),(57,1)}
        76:{1,4,7}:{(54,1),(55,1),(58,1)}
        77:{3,4,5,7}:{(55,1),(59,1),(97,1),(100,1),(101,1),(102,1),(161,1),(205,1)}
        78:{1,2,4,6}:{(56,1),(57,1),(58,1),(99,1),(103,1),(104,1),(198,1),(203,1)}
        79:{2,4,5}:{(57,1),(59,1),(89,1)}
        80:{1,4,5}:{(58,1),(59,1),(93,1)}
        81:{3,4,5,6}:{(59,1),(102,1),(105,1),(106,1),(107,1),(166,1),(225,1)}
        82:{1,2,4}:{(60,1),(61,1),(108,1)}
        83:{2,3,4,5}:{(61,1),(89,1),(109,1),(110,1),(165,1)}
        84:{1,2,4}:{(62,1),(63,1),(111,1)}
        85:{1,3,4,5}:{(63,1),(93,1),(112,1),(113,1),(165,1)}
        86:{1,2,3,7}:{(64,1),(65,1),(114,1),(193,1)}
        87:{2,3,4,7}:{(64,1),(66,1),(75,1),(114,1),(115,1),(129,1)}
        88:{1,2,4,6}:{(65,1),(66,1),(82,1),(114,1),(116,1),(117,1),(173,1)}
        89:{2,3,5}:{(66,1),(79,1),(117,1),(134,1)}
        90:{1,2,3,7}:{(67,1),(68,1),(119,1),(194,1)}
        91:{1,3,4,7}:{(67,1),(69,1),(76,1),(119,1),(120,1),(129,1)}
        92:{1,2,4,6}:{(68,1),(69,1),(84,1),(119,1),(121,1),(122,1),(179,1)}
        93:{1,3,5}:{(69,1),(80,1),(122,1),(134,1)}
        94:{1,2,3,6,7}:{(70,1),(71,1),(74,1),(124,1),(173,1),(179,1),(189,1),(212,1),(215,1)}
        95:{2,4,6,7}:{(70,1),(72,1),(75,1),(125,1),(131,1)}
        96:{1,4,6,7}:{(71,1),(72,1),(76,1),(126,1),(132,1)}
        97:{3,5,7}:{(72,1),(73,1),(125,1),(126,1),(127,1)}
        98:{4,5,6}:{(73,1),(127,1),(217,1)}
        99:{1,2,4,7}:{(74,1),(75,1),(76,1),(78,1),(129,1),(213,1),(216,1)}
       100:{2,4,5,7}:{(75,1),(77,1),(79,1),(115,1),(125,1),(131,1)}
       101:{1,4,5,7}:{(76,1),(77,1),(80,1),(120,1),(126,1),(132,1)}
       102:{3,4,6}:{(77,1),(127,1),(131,1),(132,1),(189,1),(217,1)}
       103:{3,4,6}:{(78,1),(129,1),(134,1),(189,1)}
       104:{1,2,4,5}:{(78,1),(79,1),(80,1),(117,1),(122,1),(134,1),(175,1),(181,1)}
       105:{2,4,5,6}:{(79,1),(81,1),(118,1),(131,1),(136,1)}
       106:{1,4,5,6}:{(80,1),(81,1),(123,1),(132,1),(137,1)}
       107:{3,4,5,7}:{(81,1),(133,1),(136,1),(137,1),(192,1),(230,1)}
       108:{1,3,4}:{(82,1),(138,1)}
       109:{1,2,4,5}:{(82,1),(83,1),(117,1),(138,1),(139,1),(175,1)}
       110:{2,3,4,6}:{(83,1),(118,1),(139,1),(140,1),(191,1)}
       111:{2,3,4}:{(84,1),(141,1)}
       112:{1,2,4,5}:{(84,1),(85,1),(122,1),(141,1),(142,1),(181,1)}
       113:{1,3,4,6}:{(85,1),(123,1),(142,1),(143,1),(191,1)}
       114:{1,2,4,7}:{(86,1),(87,1),(88,1),(144,1),(145,1)}
       115:{2,3,5,7}:{(87,1),(89,1),(100,1),(145,1),(146,1),(161,1)}
       116:{1,3,4,6}:{(88,1),(103,1),(108,1),(144,1),(147,1),(168,1),(196,1),(198,1)}
       117:{1,2,5}:{(88,1),(89,1),(147,1)}
       118:{2,3,5,6}:{(89,1),(105,1),(110,1),(146,1),(148,1),(149,1),(166,1)}
       119:{1,2,4,7}:{(90,1),(91,1),(92,1),(150,1),(151,1)}
       120:{1,3,5,7}:{(91,1),(93,1),(101,1),(151,1),(152,1),(161,1)}
       121:{2,3,4,6}:{(92,1),(103,1),(111,1),(150,1),(153,1),(170,1),(201,1),(203,1)}
       122:{1,2,5}:{(92,1),(93,1),(153,1)}
       123:{1,3,5,6}:{(93,1),(106,1),(113,1),(152,1),(154,1),(155,1),(166,1)}
       124:{1,2,4,6,7}:{(94,1),(95,1),(96,1),(99,1),(156,1),(157,1),(162,1),(222,1),(224,1)}
       125:{2,5,7}:{(95,1),(97,1),(158,1)}
       126:{1,5,7}:{(96,1),(97,1),(159,1)}
       127:{3,5,6}:{(97,1),(98,1),(102,1),(158,1),(159,1)}
       128:{4,5,6,7}:{(98,1),(160,1),(226,1)}
       129:{3,4,7}:{(99,1),(103,1),(161,1)}
       130:{1,2,4,5,7}:{(99,1),(100,1),(101,1),(104,1),(145,1),(151,1),(157,1),(161,1),(162,1),(195,1),(200,1),(205,1)}
       131:{2,4,6}:{(100,1),(102,1),(146,1),(158,1)}
       132:{1,4,6}:{(101,1),(102,1),(152,1),(159,1)}
       133:{3,4,6,7}:{(102,1),(107,1),(160,1),(163,1),(164,1),(209,1),(226,1)}
       134:{3,5}:{(103,1),(104,1)}
       135:{1,2,4,5,6}:{(104,1),(105,1),(106,1),(148,1),(154,1),(162,1),(166,1),(167,1),(198,1),(203,1),(221,1),(223,1),(225,1)}
       136:{2,4,5,7}:{(105,1),(107,1),(149,1),(163,1)}
       137:{1,4,5,7}:{(106,1),(107,1),(155,1),(164,1)}
       138:{1,3,5}:{(108,1),(109,1),(168,1)}
       139:{1,2,4,6}:{(109,1),(110,1),(148,1),(168,1),(169,1),(198,1)}
       140:{2,3,4,7}:{(110,1),(149,1),(169,1),(210,1)}
       141:{2,3,5}:{(111,1),(112,1),(170,1)}
       142:{1,2,4,6}:{(112,1),(113,1),(154,1),(170,1),(171,1),(203,1)}
       143:{1,3,4,7}:{(113,1),(155,1),(171,1),(210,1)}
       144:{1,3,4,7}:{(114,1),(116,1),(129,1),(172,1),(193,1),(213,1)}
       145:{1,2,5,7}:{(114,1),(115,1),(117,1),(172,1),(173,1)}
       146:{2,3,6}:{(115,1),(131,1),(173,1),(189,1)}
       147:{1,3,5}:{(116,1),(117,1),(134,1),(175,1)}
       148:{1,2,5,6}:{(117,1),(118,1),(139,1),(173,1),(176,1),(177,1)}
       149:{2,3,5,7}:{(118,1),(136,1),(140,1),(174,1),(177,1),(192,1)}
       150:{2,3,4,7}:{(119,1),(121,1),(129,1),(178,1),(194,1),(216,1)}
       151:{1,2,5,7}:{(119,1),(120,1),(122,1),(178,1),(179,1)}
       152:{1,3,6}:{(120,1),(132,1),(179,1),(189,1)}
       153:{2,3,5}:{(121,1),(122,1),(134,1),(181,1)}
       154:{1,2,5,6}:{(122,1),(123,1),(142,1),(179,1),(182,1),(183,1)}
       155:{1,3,5,7}:{(123,1),(137,1),(143,1),(180,1),(183,1),(192,1)}
       156:{3,4,6,7}:{(124,1),(129,1),(184,1),(189,1),(217,1)}
       157:{1,2,5,7}:{(124,1),(125,1),(126,1),(184,1),(185,1),(228,1),(229,1)}
       158:{2,5,6}:{(125,1),(127,1),(131,1)}
       159:{1,5,6}:{(126,1),(127,1),(132,1)}
       160:{3,5,6,7}:{(127,1),(128,1),(133,1),(186,1),(187,1)}
       161:{3,5,7}:{(129,1),(130,1),(134,1),(189,1)}
       162:{1,2,4,6}:{(130,1),(131,1),(132,1),(173,1),(179,1),(185,1),(189,1),(211,1),(214,1),(217,1)}
       163:{2,4,6,7}:{(131,1),(133,1),(136,1),(174,1),(186,1)}
       164:{1,4,6,7}:{(132,1),(133,1),(137,1),(180,1),(187,1)}
       165:{3,4,5}:{(134,1),(175,1),(181,1),(191,1)}
       166:{3,5,6}:{(134,1),(135,1),(189,1),(191,1),(192,1)}
       167:{1,2,4,5,7}:{(135,1),(136,1),(137,1),(177,1),(183,1),(190,1),(192,1),(213,1),(216,1),(228,1),(229,1),(230,1)}
       168:{1,3,6}:{(138,1),(139,1),(193,1)}
       169:{1,2,4,7}:{(139,1),(140,1),(177,1),(193,1),(213,1)}
       170:{2,3,6}:{(141,1),(142,1),(194,1)}
       171:{1,2,4,7}:{(142,1),(143,1),(183,1),(194,1),(216,1)}
       172:{1,3,5,7}:{(144,1),(145,1),(147,1),(161,1),(195,1),(196,1)}
       173:{1,2,6}:{(145,1),(146,1),(196,1)}
       174:{2,3,6,7}:{(146,1),(149,1),(163,1),(197,1),(209,1)}
       175:{1,4,5}:{(147,1),(165,1),(198,1)}
       176:{1,3,5,6}:{(147,1),(148,1),(166,1),(168,1),(196,1),(198,1),(199,1),(221,1)}
       177:{1,2,5,7}:{(148,1),(149,1),(169,1),(197,1),(199,1)}
       178:{2,3,5,7}:{(150,1),(151,1),(153,1),(161,1),(200,1),(201,1)}
       179:{1,2,6}:{(151,1),(152,1),(201,1)}
       180:{1,3,6,7}:{(152,1),(155,1),(164,1),(202,1),(209,1)}
       181:{2,4,5}:{(153,1),(165,1),(203,1)}
       182:{2,3,5,6}:{(153,1),(154,1),(166,1),(170,1),(201,1),(203,1),(204,1),(223,1)}
       183:{1,2,5,7}:{(154,1),(155,1),(171,1),(202,1),(204,1)}
       184:{3,5,7}:{(156,1),(157,1),(205,1),(206,1)}
       185:{1,2,5,6}:{(157,1),(158,1),(159,1),(162,1),(206,1),(221,1),(223,1)}
       186:{2,5,6,7}:{(158,1),(160,1),(163,1)}
       187:{1,5,6,7}:{(159,1),(160,1),(164,1)}
       188:{3,4,5,7}:{(161,1),(165,1),(195,1),(200,1),(205,1),(208,1),(210,1),(227,1)}
       189:{3,6}:{(161,1),(162,1)}
       190:{1,2,4,6,7}:{(162,1),(163,1),(164,1),(167,1),(197,1),(202,1),(207,1),(209,1),(222,1),(224,1),(226,1)}
       191:{3,4,6}:{(165,1),(166,1),(198,1),(203,1),(210,1)}
       192:{3,5,7}:{(166,1),(167,1),(209,1),(210,1)}
       193:{1,3,7}:{(168,1),(169,1)}
       194:{2,3,7}:{(170,1),(171,1)}
       195:{1,4,5,7}:{(172,1),(175,1),(188,1),(211,1),(213,1),(228,1)}
       196:{1,3,6}:{(172,1),(173,1),(189,1),(211,1)}
       197:{1,2,6,7}:{(173,1),(174,1),(177,1),(212,1)}
       198:{1,4,6}:{(175,1),(176,1),(191,1),(213,1)}
       199:{1,3,5,7}:{(176,1),(177,1),(192,1),(193,1),(212,1),(213,1),(228,1)}
       200:{2,4,5,7}:{(178,1),(181,1),(188,1),(214,1),(216,1),(229,1)}
       201:{2,3,6}:{(178,1),(179,1),(189,1),(214,1)}
       202:{1,2,6,7}:{(179,1),(180,1),(183,1),(215,1)}
       203:{2,4,6}:{(181,1),(182,1),(191,1),(216,1)}
       204:{2,3,5,7}:{(182,1),(183,1),(192,1),(194,1),(215,1),(216,1),(229,1)}
       205:{4,5,7}:{(184,1),(217,1)}
       206:{3,5,6}:{(184,1),(185,1),(189,1),(217,1)}
       207:{1,2,5,6,7}:{(185,1),(186,1),(187,1),(190,1),(218,1),(228,1),(229,1)}
       208:{3,4,6}:{(188,1),(189,1),(211,1),(214,1),(217,1),(219,1)}
       209:{3,6,7}:{(189,1),(190,1),(192,1)}
       210:{3,4,7}:{(191,1),(192,1),(213,1),(216,1)}
       211:{1,4,6}:{(195,1),(196,1),(208,1),(221,1)}
       212:{1,3,6,7}:{(196,1),(197,1),(199,1),(209,1),(222,1)}
       213:{1,4,7}:{(198,1),(199,1),(210,1)}
       214:{2,4,6}:{(200,1),(201,1),(208,1),(223,1)}
       215:{2,3,6,7}:{(201,1),(202,1),(204,1),(209,1),(224,1)}
       216:{2,4,7}:{(203,1),(204,1),(210,1)}
       217:{4,6}:{(205,1),(206,1)}
       218:{3,5,6,7}:{(206,1),(207,1),(209,1),(226,1),(227,1)}
       219:{3,5,6}:{(208,1),(221,1),(223,1),(225,1),(227,1)}
       220:{3,4,6,7}:{(208,1),(209,1),(210,1),(222,1),(224,1),(226,1),(227,1)}
       221:{1,5,6}:{(211,1),(219,1),(228,1)}
       222:{1,4,6,7}:{(211,1),(212,1),(213,1),(220,1),(228,1)}
       223:{2,5,6}:{(214,1),(219,1),(229,1)}
       224:{2,4,6,7}:{(214,1),(215,1),(216,1),(220,1),(229,1)}
       225:{4,5,6}:{(217,1),(219,1),(230,1)}
       226:{4,6,7}:{(217,1),(218,1),(230,1)}
       227:{3,5,7}:{(219,1),(220,1),(228,1),(229,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(227,1)}
       229:{2,5,7}:{(223,1),(224,1),(227,1)}
       230:{4,5,7}:{(225,1),(226,1),(227,1)}

1345 :   0:{1,2,5,6,7}:{(1,1),(2,1),(30,1),(31,1),(59,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(17,1),(75,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(19,1),(23,1),(74,1)}
         3:{1,2,4,5,6}:{(5,1),(7,1),(16,1),(25,1),(26,1),(27,1),(42,1),(43,1),(53,1),(74,1),(97,1),(103,1),(104,1)}
         4:{4,6,7}:{(1,1),(8,1),(88,1)}
         5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(10,1),(30,1),(31,1),(33,1),(34,1),(35,1)}
         6:{3,6,7}:{(2,1),(10,1),(87,1)}
         7:{3,5,6}:{(3,1),(10,1),(13,1),(69,1),(87,1),(102,1)}
         8:{4,5,7}:{(4,1),(16,1),(17,1),(79,1),(97,1)}
         9:{3,4,6,7}:{(4,1),(6,1),(17,1),(18,1),(19,1),(20,1),(41,1),(47,1),(79,1),(96,1)}
        10:{3,5,7}:{(5,1),(6,1),(7,1),(20,1)}
        11:{1,3,6,7}:{(6,1),(18,1),(21,1),(23,1),(47,1),(72,1),(95,1)}
        12:{2,3,6,7}:{(6,1),(19,1),(22,1),(23,1),(47,1),(73,1),(94,1)}
        13:{3,4,6}:{(7,1),(20,1),(24,1),(25,1),(26,1),(56,1),(84,1)}
        14:{1,3,5,6}:{(7,1),(21,1),(25,1),(27,1),(42,1),(51,1),(56,1),(72,1),(75,1),(83,1),(95,1),(104,1)}
        15:{2,3,5,6}:{(7,1),(22,1),(26,1),(27,1),(43,1),(52,1),(56,1),(73,1),(75,1),(82,1),(94,1),(103,1)}
        16:{4,5,6}:{(8,1),(28,1),(88,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(30,1),(31,1),(102,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(30,1),(33,1),(57,1),(101,1)}
        19:{2,4,6,7}:{(9,1),(12,1),(31,1),(34,1),(58,1),(100,1)}
        20:{3,4,7}:{(10,1),(13,1),(33,1),(34,1),(66,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(14,1),(30,1),(33,1),(35,1),(63,1),(66,1)}
        22:{2,3,5,7}:{(10,1),(12,1),(15,1),(31,1),(34,1),(35,1),(63,1),(66,1)}
        23:{1,2,6,7}:{(11,1),(12,1),(35,1),(85,1),(86,1)}
        24:{3,4,5}:{(13,1),(36,1),(37,1),(69,1),(102,1)}
        25:{1,4,6}:{(13,1),(14,1),(33,1),(36,1),(88,1),(93,1)}
        26:{2,4,6}:{(13,1),(15,1),(34,1),(37,1),(88,1),(92,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(35,1),(40,1),(67,1),(68,1),(85,1),(86,1)}
        28:{3,5,6}:{(16,1),(17,1),(41,1),(42,1),(43,1)}
        29:{3,4,5,7}:{(17,1),(20,1),(24,1),(41,1),(44,1),(45,1),(78,1),(79,1),(97,1)}
        30:{1,5,7}:{(17,1),(18,1),(42,1),(104,1)}
        31:{2,5,7}:{(17,1),(19,1),(43,1),(103,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(23,1),(46,1),(47,1),(50,1),(74,1),(79,1)}
        33:{1,4,7}:{(20,1),(21,1),(25,1),(79,1)}
        34:{2,4,7}:{(20,1),(22,1),(26,1),(79,1)}
        35:{1,2,5,7}:{(21,1),(22,1),(23,1),(27,1),(50,1)}
        36:{1,4,5}:{(24,1),(25,1),(51,1),(97,1),(104,1)}
        37:{2,4,5}:{(24,1),(26,1),(52,1),(97,1),(103,1)}
        38:{1,3,4,6}:{(25,1),(48,1),(51,1),(54,1),(56,1),(72,1),(84,1),(96,1)}
        39:{2,3,4,6}:{(26,1),(49,1),(52,1),(55,1),(56,1),(73,1),(84,1),(96,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(50,1),(53,1),(56,1)}
        41:{3,4,6}:{(28,1),(29,1),(57,1),(58,1),(87,1),(88,1)}
        42:{1,5,6}:{(28,1),(30,1),(57,1)}
        43:{2,5,6}:{(28,1),(31,1),(58,1)}
        44:{1,4,5,7}:{(29,1),(30,1),(33,1),(36,1),(57,1),(60,1)}
        45:{2,4,5,7}:{(29,1),(31,1),(34,1),(37,1),(58,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(32,1),(59,1),(63,1)}
        47:{3,6,7}:{(32,1),(63,1),(66,1),(87,1)}
        48:{1,3,4,7}:{(33,1),(38,1),(60,1),(64,1),(66,1),(91,1)}
        49:{2,3,4,7}:{(34,1),(39,1),(61,1),(65,1),(66,1),(91,1)}
        50:{1,2,4,7}:{(33,1),(34,1),(35,1),(40,1),(66,1)}
        51:{1,3,5}:{(36,1),(38,1),(67,1),(69,1),(102,1)}
        52:{2,3,5}:{(37,1),(39,1),(68,1),(69,1),(102,1)}
        53:{1,2,4,5}:{(36,1),(37,1),(40,1),(67,1),(68,1),(69,1),(92,1),(93,1)}
        54:{1,2,4,6}:{(38,1),(64,1),(67,1),(70,1),(85,1),(92,1),(100,1)}
        55:{1,2,4,6}:{(39,1),(65,1),(68,1),(71,1),(86,1),(93,1),(101,1)}
        56:{3,6}:{(40,1),(66,1),(69,1)}
        57:{1,4,6}:{(41,1),(42,1),(44,1),(72,1)}
        58:{2,4,6}:{(41,1),(43,1),(45,1),(73,1)}
        59:{1,2,5,6}:{(42,1),(43,1),(46,1),(74,1),(75,1),(103,1),(104,1)}
        60:{1,3,5,7}:{(44,1),(48,1),(51,1),(72,1),(76,1),(78,1)}
        61:{2,3,5,7}:{(45,1),(49,1),(52,1),(73,1),(77,1),(78,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(53,1),(74,1),(76,1),(77,1),(78,1),(79,1),(97,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5,7}:{(46,1),(47,1),(75,1),(79,1)}
        64:{1,2,4,7}:{(48,1),(54,1),(76,1),(80,1),(98,1)}
        65:{1,2,4,7}:{(49,1),(55,1),(77,1),(81,1),(99,1)}
        66:{3,7}:{(50,1),(56,1)}
        67:{1,2,5}:{(51,1),(54,1),(82,1),(103,1)}
        68:{1,2,5}:{(52,1),(55,1),(83,1),(104,1)}
        69:{3,5}:{(53,1),(56,1),(84,1)}
        70:{2,3,6}:{(54,1),(56,1),(80,1),(82,1)}
        71:{1,3,6}:{(55,1),(56,1),(81,1),(83,1)}
        72:{1,3,6}:{(57,1),(60,1),(85,1),(87,1)}
        73:{2,3,6}:{(58,1),(61,1),(86,1),(87,1)}
        74:{1,2,4,6}:{(57,1),(58,1),(59,1),(62,1),(85,1),(86,1),(87,1),(88,1),(100,1),(101,1)}
        75:{3,5,6}:{(59,1),(63,1),(87,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(60,1),(64,1),(67,1),(85,1),(89,1)}
        77:{1,2,5,7}:{(61,1),(65,1),(68,1),(86,1),(90,1)}
        78:{3,5,7}:{(62,1),(66,1),(69,1),(87,1),(91,1),(102,1)}
        79:{4,7}:{(63,1),(88,1)}
        80:{2,3,7}:{(64,1),(66,1),(70,1)}
        81:{1,3,7}:{(65,1),(66,1),(71,1)}
        82:{2,3,5}:{(67,1),(69,1),(70,1),(92,1)}
        83:{1,3,5}:{(68,1),(69,1),(71,1),(93,1)}
        84:{3,4}:{(69,1),(92,1),(93,1)}
        85:{1,2,6}:{(72,1),(76,1),(94,1)}
        86:{1,2,6}:{(73,1),(77,1),(95,1)}
        87:{3,6}:{(74,1),(78,1)}
        88:{4,6}:{(75,1),(79,1),(97,1)}
        89:{2,3,5,7}:{(76,1),(78,1),(80,1),(82,1),(94,1),(98,1),(103,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(81,1),(83,1),(95,1),(99,1),(104,1)}
        91:{3,4,7}:{(78,1),(79,1),(84,1),(96,1),(98,1),(99,1)}
        92:{2,4}:{(82,1),(84,1)}
        93:{1,4}:{(83,1),(84,1)}
        94:{2,3,6}:{(85,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(86,1),(87,1),(90,1),(101,1)}
        96:{3,4,6}:{(87,1),(88,1),(91,1),(100,1),(101,1),(102,1)}
        97:{4,5}:{(88,1),(102,1)}
        98:{2,4,7}:{(89,1),(91,1),(92,1),(100,1)}
        99:{1,4,7}:{(90,1),(91,1),(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(96,1),(98,1),(103,1)}
       101:{1,4,6}:{(95,1),(96,1),(99,1),(104,1)}
       102:{3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{1,5}:{(101,1),(102,1)}

1346 :  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:{3,4,5}:{(2,1),(7,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
        6:{1,2,3,7}:{(3,1),(9,1)}
        7:{3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,5,6}:{(5,1),(10,1),(12,1)}
        9:{1,2,4,7}:{(5,1),(6,1),(11,1),(12,1)}
       10:{3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{3,4,7}:{(7,1),(9,1),(14,1)}
       12:{1,2,5,7}:{(8,1),(9,1),(14,1),(15,1)}
       13:{4,5,6}:{(10,1),(16,1)}
       14:{3,5,7}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
       15:{1,2,6,7}:{(12,1),(17,1)}
       16:{4,5,7}:{(13,1),(14,1),(18,1)}
       17:{3,6,7}:{(14,1),(15,1),(18,1)}
       18:{4,6,7}:{(16,1),(17,1),(19,1)}
       19:{5,6,7}:{(18,1)}

1347 :   0:{1,3,4,6,7}:{(2,1),(3,1),(16,1),(35,1),(39,1),(41,1),(65,1),(70,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(18,1),(37,1),(39,1),(41,1),(66,1),(71,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(6,1),(24,1),(25,1),(51,1),(53,1),(80,1),(84,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(26,1),(50,1),(82,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(9,1),(10,1),(26,1),(52,1),(83,1)}
         5:{1,2,3,6,7}:{(2,1),(13,1),(41,1),(65,1),(66,1),(76,1),(95,1),(101,1)}
         6:{1,2,5,7}:{(2,1),(3,1),(4,1),(14,1),(67,1),(68,1),(94,1)}
         7:{1,3,5,6}:{(3,1),(14,1),(16,1),(41,1),(44,1)}
         8:{1,4,5,7}:{(3,1),(16,1),(17,1),(89,1),(92,1)}
         9:{2,3,5,6}:{(4,1),(14,1),(18,1),(41,1),(46,1)}
        10:{2,4,5,7}:{(4,1),(18,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(7,1),(20,1),(21,1),(49,1),(50,1),(78,1)}
        12:{2,3,5,6,7}:{(9,1),(20,1),(22,1),(49,1),(52,1),(79,1)}
        13:{1,2,3,5,7}:{(5,1),(6,1),(23,1),(24,1),(26,1),(61,1),(78,1),(79,1),(85,1),(99,1)}
        14:{1,2,5,6}:{(6,1),(7,1),(9,1),(25,1),(62,1),(63,1)}
        15:{1,2,4,5,7}:{(6,1),(8,1),(10,1),(24,1),(25,1),(26,1),(29,1),(32,1),(54,1),(61,1),(97,1),(98,1)}
        16:{1,4,6}:{(7,1),(8,1),(28,1)}
        17:{3,4,5,7}:{(8,1),(26,1),(28,1),(29,1),(50,1),(77,1),(81,1)}
        18:{2,4,6}:{(9,1),(10,1),(31,1)}
        19:{3,4,5,7}:{(10,1),(26,1),(31,1),(32,1),(52,1),(77,1),(81,1)}
        20:{1,2,5,6,7}:{(11,1),(12,1),(14,1),(33,1),(67,1),(68,1),(91,1)}
        21:{1,4,6,7}:{(11,1),(16,1),(34,1),(35,1),(89,1)}
        22:{2,4,6,7}:{(12,1),(18,1),(36,1),(37,1),(90,1)}
        23:{1,2,3,5,6}:{(13,1),(14,1),(38,1),(41,1),(69,1),(74,1),(75,1),(76,1),(94,1),(95,1)}
        24:{1,2,4,7}:{(13,1),(38,1),(39,1),(89,1),(90,1),(103,1)}
        25:{1,2,4,6}:{(14,1),(15,1),(16,1),(18,1),(41,1),(45,1),(47,1),(76,1)}
        26:{3,5,7}:{(15,1),(39,1),(41,1),(69,1),(101,1),(102,1)}
        27:{1,4,5,6}:{(16,1),(34,1),(44,1)}
        28:{3,4,6}:{(16,1),(17,1),(41,1),(44,1),(45,1)}
        29:{2,4,5,7}:{(17,1),(43,1),(45,1),(67,1),(90,1),(93,1)}
        30:{2,4,5,6}:{(18,1),(36,1),(46,1)}
        31:{3,4,6}:{(18,1),(19,1),(41,1),(46,1),(47,1)}
        32:{1,4,5,7}:{(19,1),(42,1),(47,1),(68,1),(89,1),(92,1)}
        33:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(25,1),(48,1),(49,1),(51,1),(53,1),(80,1),(97,1)}
        34:{1,4,5,7}:{(21,1),(27,1),(50,1)}
        35:{3,4,6,7}:{(21,1),(28,1),(49,1),(50,1),(51,1),(77,1)}
        36:{2,4,5,7}:{(22,1),(30,1),(52,1)}
        37:{3,4,6,7}:{(22,1),(31,1),(49,1),(52,1),(53,1),(77,1)}
        38:{1,2,4,6}:{(23,1),(24,1),(54,1),(55,1),(86,1),(87,1)}
        39:{3,4,7}:{(24,1),(26,1),(55,1),(104,1)}
        40:{1,2,4,5,6}:{(25,1),(27,1),(30,1),(48,1),(54,1),(58,1),(62,1),(63,1),(86,1),(87,1),(88,1)}
        41:{3,6}:{(25,1),(26,1)}
        42:{1,3,5,7}:{(26,1),(32,1),(56,1),(59,1),(61,1),(82,1)}
        43:{2,3,5,7}:{(26,1),(29,1),(57,1),(60,1),(61,1),(83,1)}
        44:{3,5,6}:{(27,1),(28,1),(50,1),(62,1)}
        45:{2,4,6}:{(28,1),(29,1),(60,1),(62,1)}
        46:{3,5,6}:{(30,1),(31,1),(52,1),(63,1)}
        47:{1,4,6}:{(31,1),(32,1),(59,1),(63,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(64,1),(67,1),(68,1),(89,1),(90,1),(91,1)}
        49:{3,6,7}:{(33,1),(41,1),(64,1),(101,1)}
        50:{3,5,7}:{(34,1),(35,1),(44,1),(67,1)}
        51:{2,4,6,7}:{(35,1),(45,1),(66,1),(67,1),(90,1)}
        52:{3,5,7}:{(36,1),(37,1),(46,1),(68,1)}
        53:{1,4,6,7}:{(37,1),(47,1),(65,1),(68,1),(89,1)}
        54:{1,2,4,5}:{(38,1),(69,1),(92,1),(93,1),(94,1)}
        55:{3,4,6}:{(38,1),(39,1),(41,1),(69,1)}
        56:{1,3,4,7}:{(39,1),(42,1),(70,1),(72,1),(89,1),(101,1)}
        57:{2,3,4,7}:{(39,1),(43,1),(71,1),(72,1),(90,1),(101,1)}
        58:{3,5,6}:{(40,1),(41,1),(64,1),(69,1),(73,1)}
        59:{1,3,6}:{(41,1),(42,1),(47,1),(76,1)}
        60:{2,3,6}:{(41,1),(43,1),(45,1),(76,1)}
        61:{1,2,5,7}:{(42,1),(43,1),(72,1),(76,1),(94,1)}
        62:{2,5,6}:{(44,1),(45,1),(67,1)}
        63:{1,5,6}:{(46,1),(47,1),(68,1)}
        64:{3,5,7}:{(48,1),(49,1),(58,1),(77,1)}
        65:{1,3,6,7}:{(49,1),(53,1),(59,1),(78,1),(80,1)}
        66:{2,3,6,7}:{(49,1),(51,1),(60,1),(79,1),(80,1)}
        67:{2,5,7}:{(50,1),(51,1),(62,1)}
        68:{1,5,7}:{(52,1),(53,1),(63,1)}
        69:{3,5}:{(54,1),(55,1)}
        70:{1,3,4,6}:{(55,1),(56,1),(59,1),(82,1),(84,1),(86,1),(100,1),(104,1)}
        71:{2,3,4,6}:{(55,1),(57,1),(60,1),(83,1),(84,1),(87,1),(100,1),(104,1)}
        72:{1,2,4,7}:{(56,1),(57,1),(61,1),(84,1),(85,1)}
        73:{3,4,6}:{(58,1),(77,1),(81,1),(86,1),(87,1),(100,1)}
        74:{1,3,5,6}:{(58,1),(59,1),(63,1),(78,1),(82,1),(86,1),(88,1),(100,1)}
        75:{2,3,5,6}:{(58,1),(60,1),(62,1),(79,1),(83,1),(87,1),(88,1),(100,1)}
        76:{1,2,6}:{(59,1),(60,1),(61,1)}
        77:{3,4,7}:{(64,1),(73,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(65,1),(68,1),(74,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(66,1),(67,1),(75,1),(90,1),(91,1),(101,1)}
        80:{1,2,6,7}:{(65,1),(66,1),(76,1),(91,1)}
        81:{3,4,5}:{(69,1),(73,1),(92,1),(93,1),(102,1)}
        82:{1,3,5}:{(69,1),(70,1),(92,1),(94,1),(102,1)}
        83:{2,3,5}:{(69,1),(71,1),(93,1),(94,1),(102,1)}
        84:{1,2,4,6}:{(70,1),(71,1),(72,1),(76,1),(94,1),(95,1),(103,1)}
        85:{1,2,3,7}:{(72,1),(95,1),(101,1)}
        86:{1,4,6}:{(73,1),(74,1),(89,1),(92,1)}
        87:{2,4,6}:{(73,1),(75,1),(90,1),(93,1)}
        88:{1,2,5,6}:{(74,1),(75,1),(76,1),(91,1),(94,1),(96,1)}
        89:{1,4,7}:{(77,1),(78,1),(86,1)}
        90:{2,4,7}:{(77,1),(79,1),(87,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(80,1),(88,1),(97,1)}
        92:{1,4,5}:{(81,1),(82,1),(86,1)}
        93:{2,4,5}:{(81,1),(83,1),(87,1)}
        94:{1,2,5}:{(82,1),(83,1),(84,1)}
        95:{1,2,3,6}:{(84,1),(85,1),(99,1),(100,1)}
        96:{1,2,4,6}:{(86,1),(87,1),(88,1),(97,1),(98,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(96,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(96,1),(102,1),(103,1)}
        99:{1,2,3,5}:{(94,1),(95,1),(102,1),(103,1)}
       100:{3,6}:{(96,1),(101,1),(102,1)}
       101:{3,7}:{(97,1),(100,1)}
       102:{3,5}:{(98,1),(100,1),(104,1)}
       103:{1,2,4}:{(99,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1348 :   0:{1,2,3,6}:{(3,1),(4,1),(5,1),(70,1),(125,1)}
         1:{2,3,4,6}:{(4,1),(6,1),(7,1),(20,1),(27,1),(30,1),(70,1),(72,1)}
         2:{1,3,4,6}:{(4,1),(8,1),(9,1),(20,1),(32,1),(35,1),(70,1),(72,1)}
         3:{1,2,3,5}:{(0,1),(10,1),(12,1),(38,1),(41,1),(95,1)}
         4:{1,2,4,6}:{(0,1),(1,1),(2,1),(10,1),(12,1),(13,1),(47,1)}
         5:{1,2,3,7}:{(0,1),(13,1),(104,1),(151,1),(224,1)}
         6:{2,3,5}:{(1,1),(12,1),(14,1),(41,1),(106,1)}
         7:{2,3,4,7}:{(1,1),(13,1),(16,1),(42,1),(51,1),(104,1),(194,1)}
         8:{1,3,5}:{(2,1),(12,1),(17,1),(41,1),(106,1)}
         9:{1,3,4,7}:{(2,1),(13,1),(19,1),(42,1),(57,1),(104,1),(193,1)}
        10:{1,2,4}:{(3,1),(20,1)}
        11:{1,2,3,5,7}:{(3,1),(5,1),(22,1),(23,1),(25,1),(65,1),(71,1),(75,1),(126,1),(128,1)}
        12:{1,2,5}:{(4,1),(6,1),(8,1)}
        13:{1,2,4,7}:{(4,1),(5,1),(7,1),(9,1),(25,1),(211,1)}
        14:{2,4,5}:{(6,1),(26,1),(27,1),(137,1)}
        15:{2,3,5,6}:{(6,1),(24,1),(27,1),(29,1),(30,1),(60,1),(70,1),(82,1),(136,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(25,1),(28,1),(30,1),(71,1),(210,1),(228,1)}
        17:{1,4,5}:{(8,1),(31,1),(32,1),(137,1)}
        18:{1,3,5,6}:{(8,1),(24,1),(32,1),(34,1),(35,1),(62,1),(70,1),(88,1),(136,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(25,1),(33,1),(35,1),(71,1),(209,1),(227,1)}
        20:{3,4}:{(10,1),(41,1)}
        21:{1,2,4,5}:{(10,1),(12,1),(14,1),(17,1),(41,1),(43,1),(48,1),(54,1),(95,1)}
        22:{1,2,4,7}:{(10,1),(11,1),(42,1),(45,1),(154,1)}
        23:{1,2,3,6}:{(11,1),(45,1),(47,1),(105,1),(152,1)}
        24:{1,2,5,6}:{(12,1),(15,1),(18,1),(43,1),(46,1),(47,1),(89,1),(92,1)}
        25:{1,2,5,7}:{(12,1),(13,1),(16,1),(19,1),(47,1),(223,1),(230,1)}
        26:{3,4,5}:{(14,1),(41,1),(48,1),(49,1)}
        27:{2,4,6}:{(14,1),(15,1),(49,1),(51,1),(162,1)}
        28:{2,4,5,7}:{(14,1),(16,1),(50,1),(51,1),(52,1),(113,1),(200,1),(226,1)}
        29:{2,3,5,7}:{(15,1),(46,1),(51,1),(53,1),(90,1),(104,1),(113,1),(161,1)}
        30:{2,3,6}:{(16,1),(47,1),(52,1),(105,1)}
        31:{3,4,5}:{(17,1),(41,1),(54,1),(55,1)}
        32:{1,4,6}:{(17,1),(18,1),(55,1),(57,1),(162,1)}
        33:{1,4,5,7}:{(17,1),(19,1),(56,1),(57,1),(58,1),(118,1),(197,1),(225,1)}
        34:{1,3,5,7}:{(18,1),(46,1),(57,1),(59,1),(93,1),(104,1),(118,1),(161,1)}
        35:{1,3,6}:{(19,1),(47,1),(58,1),(105,1)}
        36:{2,4,5,6}:{(27,1),(60,1),(61,1),(82,1),(142,1)}
        37:{1,4,5,6}:{(32,1),(62,1),(63,1),(88,1),(146,1)}
        38:{1,2,3}:{(64,1)}
        39:{2,3,4}:{(20,1),(64,1),(66,1)}
        40:{1,3,4}:{(20,1),(64,1),(68,1)}
        41:{3,5}:{(20,1),(21,1),(70,1)}
        42:{3,4,7}:{(20,1),(22,1),(71,1),(72,1),(176,1),(183,1)}
        43:{1,2,4,6}:{(21,1),(24,1),(27,1),(32,1),(70,1),(73,1),(77,1),(83,1),(125,1)}
        44:{1,2,4,5,7}:{(21,1),(22,1),(25,1),(28,1),(33,1),(71,1),(73,1),(74,1),(75,1),(78,1),(84,1),(126,1),(137,1),(138,1),(175,1),(183,1),(207,1)}
        45:{1,2,4,6}:{(22,1),(23,1),(72,1),(75,1)}
        46:{1,2,5,7}:{(24,1),(29,1),(34,1),(73,1),(76,1),(119,1),(122,1)}
        47:{1,2,6}:{(25,1),(30,1),(35,1)}
        48:{1,4,5}:{(26,1),(68,1),(77,1)}
        49:{3,4,6}:{(26,1),(27,1),(60,1),(70,1),(77,1),(79,1)}
        50:{3,4,5,7}:{(26,1),(28,1),(71,1),(78,1),(79,1),(80,1),(137,1),(141,1),(182,1),(183,1),(214,1)}
        51:{2,4,7}:{(27,1),(29,1),(79,1),(183,1)}
        52:{2,4,6}:{(28,1),(30,1),(80,1),(82,1)}
        53:{2,3,6,7}:{(29,1),(30,1),(76,1),(81,1),(120,1),(135,1),(228,1)}
        54:{2,4,5}:{(31,1),(66,1),(83,1)}
        55:{3,4,6}:{(31,1),(32,1),(62,1),(70,1),(83,1),(85,1)}
        56:{3,4,5,7}:{(31,1),(33,1),(71,1),(84,1),(85,1),(86,1),(137,1),(145,1),(179,1),(183,1),(212,1)}
        57:{1,4,7}:{(32,1),(34,1),(85,1),(183,1)}
        58:{1,4,6}:{(33,1),(35,1),(86,1),(88,1)}
        59:{1,3,6,7}:{(34,1),(35,1),(76,1),(87,1),(123,1),(135,1),(227,1)}
        60:{3,5,6}:{(36,1),(49,1),(89,1),(90,1)}
        61:{2,4,5,7}:{(36,1),(51,1),(90,1),(91,1),(113,1),(165,1)}
        62:{3,5,6}:{(37,1),(55,1),(92,1),(93,1)}
        63:{1,4,5,7}:{(37,1),(57,1),(93,1),(94,1),(118,1),(168,1)}
        64:{1,2,4}:{(38,1),(39,1),(40,1),(95,1)}
        65:{1,2,3,7}:{(38,1),(96,1),(97,1),(220,1),(230,1)}
        66:{2,3,5}:{(39,1),(41,1),(54,1),(95,1),(98,1)}
        67:{2,3,4,7}:{(39,1),(42,1),(96,1),(99,1),(100,1),(195,1),(220,1)}
        68:{1,3,5}:{(40,1),(41,1),(48,1),(95,1),(101,1)}
        69:{1,3,4,7}:{(40,1),(42,1),(96,1),(102,1),(103,1),(198,1),(220,1)}
        70:{3,6}:{(41,1),(43,1),(104,1)}
        71:{3,5,7}:{(41,1),(42,1),(44,1),(104,1),(105,1),(106,1),(192,1),(220,1)}
        72:{3,4,6}:{(42,1),(45,1),(105,1),(106,1),(162,1)}
        73:{1,2,4,7}:{(43,1),(46,1),(51,1),(57,1),(104,1),(109,1),(114,1),(151,1)}
        74:{1,2,4,6}:{(44,1),(47,1),(52,1),(58,1),(105,1),(108,1),(110,1),(115,1),(152,1),(162,1)}
        75:{1,2,5}:{(45,1),(106,1)}
        76:{1,2,6,7}:{(46,1),(47,1),(53,1),(59,1),(147,1),(149,1),(230,1)}
        77:{1,4,6}:{(48,1),(49,1),(89,1),(101,1),(109,1)}
        78:{1,4,5,7}:{(48,1),(50,1),(102,1),(109,1),(110,1),(160,1),(163,1),(198,1)}
        79:{3,4,7}:{(49,1),(51,1),(90,1),(104,1),(109,1)}
        80:{3,4,6}:{(50,1),(52,1),(105,1),(110,1),(112,1),(162,1)}
        81:{2,4,6,7}:{(51,1),(52,1),(53,1),(111,1),(113,1),(218,1),(226,1)}
        82:{2,5,6}:{(52,1),(112,1),(113,1)}
        83:{2,4,6}:{(54,1),(55,1),(92,1),(98,1),(114,1)}
        84:{2,4,5,7}:{(54,1),(56,1),(99,1),(114,1),(115,1),(157,1),(166,1),(195,1)}
        85:{3,4,7}:{(55,1),(57,1),(93,1),(104,1),(114,1)}
        86:{3,4,6}:{(56,1),(58,1),(105,1),(115,1),(117,1),(162,1)}
        87:{1,4,6,7}:{(57,1),(58,1),(59,1),(116,1),(118,1),(219,1),(225,1)}
        88:{1,5,6}:{(58,1),(117,1),(118,1)}
        89:{1,5,6}:{(60,1),(77,1),(119,1)}
        90:{3,5,7}:{(60,1),(61,1),(79,1),(119,1),(120,1)}
        91:{2,4,6,7}:{(61,1),(120,1),(121,1),(170,1)}
        92:{2,5,6}:{(62,1),(83,1),(122,1)}
        93:{3,5,7}:{(62,1),(63,1),(85,1),(122,1),(123,1)}
        94:{1,4,6,7}:{(63,1),(123,1),(124,1),(172,1)}
        95:{1,2,5}:{(64,1),(66,1),(68,1),(125,1)}
        96:{1,2,4,7}:{(64,1),(65,1),(67,1),(69,1),(126,1),(127,1)}
        97:{1,2,3,6}:{(65,1),(127,1),(128,1),(208,1),(229,1)}
        98:{2,3,6}:{(66,1),(70,1),(83,1),(125,1),(129,1)}
        99:{2,3,5,7}:{(66,1),(67,1),(71,1),(84,1),(126,1),(129,1),(130,1),(131,1)}
       100:{2,3,4,6}:{(67,1),(72,1),(127,1),(130,1),(131,1),(176,1),(178,1),(208,1)}
       101:{1,3,6}:{(68,1),(70,1),(77,1),(125,1),(132,1)}
       102:{1,3,5,7}:{(68,1),(69,1),(71,1),(78,1),(126,1),(132,1),(133,1),(134,1)}
       103:{1,3,4,6}:{(69,1),(72,1),(127,1),(133,1),(134,1),(176,1),(181,1),(208,1)}
       104:{3,7}:{(70,1),(73,1)}
       105:{3,6}:{(71,1),(74,1)}
       106:{3,5}:{(72,1),(75,1),(137,1)}
       107:{1,2,4,6,7}:{(73,1),(74,1),(76,1),(81,1),(87,1),(135,1),(138,1),(139,1),(143,1),(173,1),(183,1),(207,1)}
       108:{1,2,5,6}:{(74,1),(75,1),(82,1),(88,1),(136,1),(138,1),(140,1),(144,1)}
       109:{1,4,7}:{(77,1),(79,1),(119,1),(132,1)}
       110:{1,4,6}:{(78,1),(80,1),(133,1),(140,1)}
       111:{3,4,6,7}:{(79,1),(80,1),(81,1),(120,1),(135,1),(139,1),(141,1),(170,1),(183,1),(205,1),(214,1)}
       112:{3,5,6}:{(80,1),(82,1),(140,1),(141,1),(142,1)}
       113:{2,5,7}:{(81,1),(82,1),(141,1)}
       114:{2,4,7}:{(83,1),(85,1),(122,1),(129,1)}
       115:{2,4,6}:{(84,1),(86,1),(130,1),(144,1)}
       116:{3,4,6,7}:{(85,1),(86,1),(87,1),(123,1),(135,1),(143,1),(145,1),(172,1),(183,1),(206,1),(212,1)}
       117:{3,5,6}:{(86,1),(88,1),(144,1),(145,1),(146,1)}
       118:{1,5,7}:{(87,1),(88,1),(145,1)}
       119:{1,5,7}:{(89,1),(90,1),(109,1),(147,1)}
       120:{3,6,7}:{(90,1),(91,1),(147,1)}
       121:{2,5,6,7}:{(91,1),(113,1),(148,1),(218,1)}
       122:{2,5,7}:{(92,1),(93,1),(114,1),(149,1)}
       123:{3,6,7}:{(93,1),(94,1),(149,1)}
       124:{1,5,6,7}:{(94,1),(118,1),(150,1),(219,1)}
       125:{1,2,6}:{(95,1),(98,1),(101,1),(151,1)}
       126:{1,2,5,7}:{(95,1),(96,1),(99,1),(102,1),(151,1),(152,1),(153,1)}
       127:{1,2,4,6}:{(96,1),(97,1),(100,1),(103,1),(152,1),(153,1),(154,1)}
       128:{1,2,3,5}:{(97,1),(153,1),(154,1),(192,1),(223,1),(224,1)}
       129:{2,3,7}:{(98,1),(104,1),(114,1),(151,1)}
       130:{2,3,6}:{(99,1),(105,1),(115,1),(152,1)}
       131:{2,3,5}:{(100,1),(106,1),(153,1),(157,1),(192,1)}
       132:{1,3,7}:{(101,1),(104,1),(109,1),(151,1)}
       133:{1,3,6}:{(102,1),(105,1),(110,1),(152,1)}
       134:{1,3,5}:{(103,1),(106,1),(153,1),(160,1),(192,1)}
       135:{3,6,7}:{(104,1),(105,1),(107,1),(161,1),(220,1)}
       136:{3,5,6}:{(105,1),(106,1),(108,1),(161,1),(162,1)}
       137:{4,5}:{(106,1),(162,1)}
       138:{1,2,5,7}:{(107,1),(108,1),(113,1),(118,1),(161,1),(163,1),(166,1)}
       139:{1,4,6,7}:{(109,1),(110,1),(111,1),(147,1),(158,1),(163,1),(198,1)}
       140:{1,5,6}:{(110,1),(112,1),(163,1)}
       141:{3,5,7}:{(111,1),(112,1),(113,1),(163,1),(165,1)}
       142:{4,5,6}:{(112,1),(162,1),(165,1)}
       143:{2,4,6,7}:{(114,1),(115,1),(116,1),(149,1),(155,1),(166,1),(195,1)}
       144:{2,5,6}:{(115,1),(117,1),(166,1)}
       145:{3,5,7}:{(116,1),(117,1),(118,1),(166,1),(168,1)}
       146:{4,5,6}:{(117,1),(162,1),(168,1)}
       147:{1,6,7}:{(119,1),(120,1)}
       148:{3,5,6,7}:{(120,1),(121,1),(141,1),(169,1),(170,1),(205,1)}
       149:{2,6,7}:{(122,1),(123,1)}
       150:{3,5,6,7}:{(123,1),(124,1),(145,1),(171,1),(172,1),(206,1)}
       151:{1,2,7}:{(125,1),(129,1),(132,1)}
       152:{1,2,6}:{(126,1),(130,1),(133,1)}
       153:{1,2,5}:{(127,1),(131,1),(134,1)}
       154:{1,2,4}:{(128,1),(176,1)}
       155:{2,3,6,7}:{(129,1),(130,1),(135,1),(143,1),(173,1),(177,1),(206,1)}
       156:{2,3,5,6}:{(130,1),(131,1),(136,1),(144,1),(174,1),(177,1),(178,1),(187,1),(208,1)}
       157:{2,4,5}:{(131,1),(137,1),(178,1),(179,1)}
       158:{1,3,6,7}:{(132,1),(133,1),(135,1),(139,1),(173,1),(180,1),(205,1)}
       159:{1,3,5,6}:{(133,1),(134,1),(136,1),(140,1),(174,1),(180,1),(181,1),(185,1),(208,1)}
       160:{1,4,5}:{(134,1),(137,1),(181,1),(182,1)}
       161:{3,5,7}:{(135,1),(136,1),(138,1),(183,1)}
       162:{4,6}:{(136,1),(137,1),(183,1)}
       163:{1,5,7}:{(139,1),(140,1),(141,1)}
       164:{1,4,5,6}:{(140,1),(142,1),(181,1),(184,1),(185,1)}
       165:{4,5,7}:{(141,1),(142,1),(170,1),(183,1)}
       166:{2,5,7}:{(143,1),(144,1),(145,1)}
       167:{2,4,5,6}:{(144,1),(146,1),(178,1),(186,1),(187,1)}
       168:{4,5,7}:{(145,1),(146,1),(172,1),(183,1)}
       169:{1,5,6,7}:{(147,1),(148,1),(163,1),(188,1)}
       170:{4,6,7}:{(148,1),(165,1)}
       171:{2,5,6,7}:{(149,1),(150,1),(166,1),(189,1)}
       172:{4,6,7}:{(150,1),(168,1)}
       173:{1,2,6,7}:{(151,1),(152,1),(155,1),(158,1),(190,1),(218,1),(219,1)}
       174:{1,2,5,6}:{(152,1),(153,1),(156,1),(159,1),(190,1),(191,1),(202,1),(204,1)}
       175:{1,2,4,5}:{(153,1),(154,1),(157,1),(160,1),(191,1),(192,1),(197,1),(200,1),(223,1)}
       176:{3,4}:{(154,1),(192,1)}
       177:{2,3,5,7}:{(155,1),(156,1),(161,1),(166,1),(190,1),(195,1),(203,1),(220,1)}
       178:{2,4,6}:{(156,1),(157,1),(162,1),(195,1),(196,1)}
       179:{3,4,5}:{(157,1),(192,1),(196,1),(197,1)}
       180:{1,3,5,7}:{(158,1),(159,1),(161,1),(163,1),(190,1),(198,1),(201,1),(220,1)}
       181:{1,4,6}:{(159,1),(160,1),(162,1),(198,1),(199,1)}
       182:{3,4,5}:{(160,1),(192,1),(199,1),(200,1)}
       183:{4,7}:{(161,1),(162,1)}
       184:{1,4,5,7}:{(163,1),(164,1),(165,1),(188,1),(198,1),(201,1)}
       185:{3,5,6}:{(164,1),(199,1),(201,1),(202,1)}
       186:{2,4,5,7}:{(166,1),(167,1),(168,1),(189,1),(195,1),(203,1)}
       187:{3,5,6}:{(167,1),(196,1),(203,1),(204,1)}
       188:{1,4,6,7}:{(169,1),(170,1),(184,1),(205,1)}
       189:{2,4,6,7}:{(171,1),(172,1),(186,1),(206,1)}
       190:{1,2,5,7}:{(173,1),(174,1),(177,1),(180,1),(207,1),(216,1),(217,1)}
       191:{1,2,4,6}:{(174,1),(175,1),(178,1),(181,1),(207,1),(208,1),(213,1),(215,1),(229,1)}
       192:{3,5}:{(175,1),(176,1),(208,1)}
       193:{1,3,4}:{(176,1),(209,1),(211,1)}
       194:{2,3,4}:{(176,1),(210,1),(211,1)}
       195:{2,4,7}:{(177,1),(178,1),(183,1),(212,1)}
       196:{3,4,6}:{(178,1),(179,1),(187,1),(208,1),(212,1),(213,1)}
       197:{1,4,5}:{(179,1),(209,1),(213,1)}
       198:{1,4,7}:{(180,1),(181,1),(183,1),(214,1)}
       199:{3,4,6}:{(181,1),(182,1),(185,1),(208,1),(214,1),(215,1)}
       200:{2,4,5}:{(182,1),(210,1),(215,1)}
       201:{3,5,7}:{(184,1),(185,1),(205,1),(214,1),(216,1)}
       202:{2,5,6}:{(185,1),(215,1),(216,1)}
       203:{3,5,7}:{(186,1),(187,1),(206,1),(212,1),(217,1)}
       204:{1,5,6}:{(187,1),(213,1),(217,1)}
       205:{3,6,7}:{(188,1),(201,1),(218,1)}
       206:{3,6,7}:{(189,1),(203,1),(219,1)}
       207:{1,2,4,7}:{(190,1),(191,1),(195,1),(198,1),(220,1),(225,1),(226,1),(230,1)}
       208:{3,6}:{(191,1),(192,1),(220,1)}
       209:{1,3,5}:{(192,1),(193,1),(197,1),(221,1),(223,1)}
       210:{2,3,5}:{(192,1),(194,1),(200,1),(222,1),(223,1)}
       211:{1,2,4}:{(193,1),(194,1),(223,1),(224,1)}
       212:{3,4,7}:{(195,1),(196,1),(203,1),(220,1),(225,1)}
       213:{1,4,6}:{(196,1),(197,1),(204,1),(221,1),(225,1)}
       214:{3,4,7}:{(198,1),(199,1),(201,1),(220,1),(226,1)}
       215:{2,4,6}:{(199,1),(200,1),(202,1),(222,1),(226,1)}
       216:{2,5,7}:{(201,1),(202,1),(218,1),(226,1)}
       217:{1,5,7}:{(203,1),(204,1),(219,1),(225,1)}
       218:{2,6,7}:{(205,1),(216,1)}
       219:{1,6,7}:{(206,1),(217,1)}
       220:{3,7}:{(207,1),(208,1)}
       221:{1,3,6}:{(208,1),(209,1),(213,1),(227,1),(229,1)}
       222:{2,3,6}:{(208,1),(210,1),(215,1),(228,1),(229,1)}
       223:{1,2,5}:{(209,1),(210,1),(211,1),(229,1)}
       224:{1,2,3}:{(211,1)}
       225:{1,4,7}:{(212,1),(213,1),(217,1),(227,1)}
       226:{2,4,7}:{(214,1),(215,1),(216,1),(228,1)}
       227:{1,3,7}:{(220,1),(221,1),(225,1),(230,1)}
       228:{2,3,7}:{(220,1),(222,1),(226,1),(230,1)}
       229:{1,2,6}:{(221,1),(222,1),(223,1),(230,1)}
       230:{1,2,7}:{(227,1),(228,1),(229,1)}

1349 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(16,1),(17,1),(20,1),(21,1),(38,1),(71,1),(95,1),(96,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(114,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(18,1),(19,1),(20,1),(127,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(15,1),(71,1),(97,1),(126,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(26,1),(27,1),(28,1)}
         5:{3,5,7}:{(2,1),(3,1),(9,1),(135,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(58,1),(62,1),(87,1),(92,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(58,1),(62,1),(86,1),(91,1),(111,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(36,1),(37,1),(38,1),(65,1),(106,1)}
         9:{3,5,6}:{(4,1),(5,1),(15,1)}
        10:{3,4,5,7}:{(5,1),(15,1),(18,1),(19,1),(45,1),(97,1),(101,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1),(45,1),(109,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(45,1),(108,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(41,1),(46,1),(107,1)}
        14:{3,5,6,7}:{(8,1),(9,1),(23,1),(82,1),(120,1)}
        15:{3,4,6}:{(9,1),(10,1),(26,1),(27,1),(58,1)}
        16:{1,3,5,6}:{(9,1),(11,1),(26,1),(28,1),(58,1)}
        17:{2,3,5,6}:{(9,1),(12,1),(27,1),(28,1),(58,1)}
        18:{1,4,5,7}:{(10,1),(11,1),(26,1),(112,1),(116,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(27,1),(111,1),(115,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(28,1),(121,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(58,1),(86,1),(87,1),(90,1)}
        22:{3,4,5,6}:{(15,1),(33,1),(34,1),(35,1),(68,1),(101,1),(125,1)}
        23:{3,4,6,7}:{(14,1),(15,1),(33,1),(36,1),(37,1),(71,1),(97,1),(125,1)}
        24:{1,3,5,6,7}:{(14,1),(16,1),(36,1),(38,1),(63,1),(71,1),(96,1),(130,1)}
        25:{2,3,5,6,7}:{(14,1),(17,1),(37,1),(38,1),(64,1),(71,1),(95,1),(129,1)}
        26:{1,4,6}:{(15,1),(16,1),(18,1)}
        27:{2,4,6}:{(15,1),(17,1),(19,1)}
        28:{1,2,5,6}:{(16,1),(17,1),(20,1),(41,1)}
        29:{1,3,4,5,7}:{(18,1),(39,1),(43,1),(45,1),(63,1),(79,1),(97,1),(101,1),(109,1),(124,1),(137,1)}
        30:{2,3,4,5,7}:{(19,1),(40,1),(44,1),(45,1),(64,1),(78,1),(97,1),(101,1),(108,1),(123,1),(137,1)}
        31:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(41,1),(45,1),(46,1),(76,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(42,1),(45,1),(46,1),(95,1),(96,1)}
        33:{3,4,5,7}:{(22,1),(23,1),(47,1),(48,1),(82,1)}
        34:{1,4,5,6}:{(22,1),(26,1),(47,1),(49,1),(116,1),(134,1)}
        35:{2,4,5,6}:{(22,1),(27,1),(48,1),(50,1),(115,1),(133,1)}
        36:{1,4,6,7}:{(23,1),(24,1),(26,1),(47,1),(112,1),(134,1)}
        37:{2,4,6,7}:{(23,1),(25,1),(27,1),(48,1),(111,1),(133,1)}
        38:{1,2,5,6,7}:{(24,1),(25,1),(28,1),(54,1),(80,1),(81,1),(136,1)}
        39:{1,3,4,6}:{(26,1),(29,1),(49,1),(56,1),(58,1),(85,1),(134,1),(139,1)}
        40:{2,3,4,6}:{(27,1),(30,1),(50,1),(57,1),(58,1),(85,1),(133,1),(139,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(58,1)}
        42:{1,2,3,5,6}:{(28,1),(32,1),(58,1),(59,1),(83,1),(84,1),(90,1),(93,1),(121,1)}
        43:{1,2,4,5,7}:{(29,1),(56,1),(60,1),(80,1),(94,1),(111,1),(115,1),(121,1)}
        44:{1,2,4,5,7}:{(30,1),(57,1),(61,1),(81,1),(94,1),(112,1),(116,1),(121,1)}
        45:{3,5,7}:{(31,1),(58,1),(62,1),(93,1)}
        46:{1,2,4,7}:{(32,1),(59,1),(62,1),(111,1),(112,1)}
        47:{1,4,5,7}:{(33,1),(34,1),(36,1),(63,1)}
        48:{2,4,5,7}:{(33,1),(35,1),(37,1),(64,1)}
        49:{1,3,5,6}:{(34,1),(39,1),(63,1),(66,1),(68,1),(109,1)}
        50:{2,3,5,6}:{(35,1),(40,1),(64,1),(67,1),(68,1),(108,1)}
        51:{1,2,4,5,6}:{(34,1),(35,1),(41,1),(65,1),(66,1),(67,1),(68,1),(76,1),(99,1),(100,1),(127,1),(138,1)}
        52:{1,3,4,6,7}:{(36,1),(39,1),(63,1),(69,1),(71,1),(97,1)}
        53:{2,3,4,6,7}:{(37,1),(40,1),(64,1),(70,1),(71,1),(97,1)}
        54:{1,2,4,6,7}:{(36,1),(37,1),(38,1),(41,1),(65,1),(71,1),(138,1)}
        55:{1,2,3,5,6,7}:{(38,1),(42,1),(71,1),(72,1),(95,1),(96,1),(102,1),(105,1),(128,1),(129,1),(130,1)}
        56:{1,2,4,6}:{(39,1),(43,1),(66,1),(73,1),(99,1)}
        57:{1,2,4,6}:{(40,1),(44,1),(67,1),(74,1),(100,1)}
        58:{3,6}:{(41,1),(45,1)}
        59:{1,2,4,6}:{(42,1),(46,1),(75,1),(76,1),(99,1),(100,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(73,1),(78,1),(108,1),(137,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(74,1),(79,1),(109,1),(137,1)}
        62:{3,4,7}:{(45,1),(46,1),(75,1)}
        63:{1,3,5,7}:{(47,1),(49,1),(52,1),(80,1),(82,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(53,1),(81,1),(82,1)}
        65:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(54,1),(80,1),(81,1),(82,1),(111,1),(112,1)}
        66:{1,2,5,6}:{(49,1),(56,1),(80,1),(83,1),(121,1)}
        67:{1,2,5,6}:{(50,1),(57,1),(81,1),(84,1),(121,1)}
        68:{3,5,6}:{(51,1),(58,1),(82,1),(85,1),(93,1),(135,1),(139,1)}
        69:{1,2,4,6,7}:{(52,1),(56,1),(80,1),(86,1),(111,1)}
        70:{1,2,4,6,7}:{(53,1),(57,1),(81,1),(87,1),(112,1)}
        71:{3,6,7}:{(54,1),(58,1),(82,1),(139,1)}
        72:{1,2,4,6,7}:{(55,1),(59,1),(88,1),(89,1),(111,1),(112,1),(133,1),(134,1)}
        73:{2,3,6}:{(56,1),(58,1),(60,1),(139,1)}
        74:{1,3,6}:{(57,1),(58,1),(61,1),(139,1)}
        75:{3,4,6}:{(58,1),(59,1),(62,1),(93,1)}
        76:{1,2,4,5}:{(59,1),(93,1),(115,1),(116,1),(121,1)}
        77:{1,2,3,5,7}:{(60,1),(61,1),(90,1),(94,1),(121,1)}
        78:{2,3,4,7}:{(60,1),(62,1),(91,1),(94,1),(111,1),(131,1)}
        79:{1,3,4,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(131,1)}
        80:{1,2,5,7}:{(63,1),(66,1),(69,1),(95,1)}
        81:{1,2,5,7}:{(64,1),(67,1),(70,1),(96,1)}
        82:{3,5,7}:{(65,1),(68,1),(71,1),(97,1)}
        83:{2,3,5,6}:{(66,1),(68,1),(73,1),(95,1),(99,1),(108,1)}
        84:{1,3,5,6}:{(67,1),(68,1),(74,1),(96,1),(100,1),(109,1)}
        85:{3,4,6}:{(68,1),(97,1),(99,1),(100,1),(101,1)}
        86:{2,3,6,7}:{(69,1),(71,1),(73,1),(95,1)}
        87:{1,3,6,7}:{(70,1),(71,1),(74,1),(96,1)}
        88:{3,4,6,7}:{(71,1),(72,1),(75,1),(97,1),(105,1),(125,1)}
        89:{1,2,4,5,7}:{(72,1),(76,1),(105,1),(106,1),(123,1),(124,1),(128,1)}
        90:{1,2,3,6}:{(73,1),(74,1),(77,1),(107,1)}
        91:{2,3,4,6}:{(73,1),(75,1),(78,1),(99,1),(107,1),(108,1),(126,1)}
        92:{1,3,4,6}:{(74,1),(75,1),(79,1),(100,1),(107,1),(109,1),(126,1)}
        93:{3,5}:{(75,1),(76,1)}
        94:{1,2,4,7}:{(77,1),(78,1),(79,1),(107,1)}
        95:{2,3,5,7}:{(80,1),(82,1),(83,1),(86,1),(111,1)}
        96:{1,3,5,7}:{(81,1),(82,1),(84,1),(87,1),(112,1)}
        97:{3,4,7}:{(82,1),(85,1),(111,1),(112,1)}
        98:{1,2,3,5,6}:{(83,1),(84,1),(90,1),(110,1),(114,1),(121,1),(135,1),(136,1),(139,1)}
        99:{2,4,6}:{(83,1),(85,1),(111,1),(115,1)}
       100:{1,4,6}:{(84,1),(85,1),(112,1),(116,1)}
       101:{3,4,5}:{(85,1),(93,1),(115,1),(116,1),(135,1)}
       102:{1,2,3,6,7}:{(86,1),(87,1),(90,1),(110,1),(117,1),(139,1)}
       103:{2,3,4,6,7}:{(86,1),(88,1),(91,1),(111,1),(117,1),(118,1),(131,1),(133,1),(139,1)}
       104:{1,3,4,6,7}:{(87,1),(88,1),(92,1),(112,1),(117,1),(119,1),(131,1),(134,1),(139,1)}
       105:{3,5,7}:{(88,1),(89,1),(93,1),(120,1)}
       106:{1,2,4,5,6}:{(89,1),(120,1),(133,1),(134,1),(136,1)}
       107:{1,2,4,6}:{(90,1),(91,1),(92,1),(94,1),(121,1)}
       108:{2,3,5}:{(91,1),(93,1),(115,1),(121,1),(135,1)}
       109:{1,3,5}:{(92,1),(93,1),(116,1),(121,1),(135,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(102,1),(122,1),(128,1),(137,1)}
       111:{2,4,7}:{(95,1),(97,1),(99,1)}
       112:{1,4,7}:{(96,1),(97,1),(100,1)}
       113:{3,4,5,7}:{(97,1),(101,1),(105,1),(123,1),(124,1),(125,1),(137,1)}
       114:{1,2,4,6}:{(98,1),(99,1),(100,1),(122,1),(126,1),(127,1)}
       115:{2,4,5}:{(99,1),(101,1),(108,1)}
       116:{1,4,5}:{(100,1),(101,1),(109,1)}
       117:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(107,1),(122,1),(128,1),(138,1)}
       118:{2,3,5,7}:{(103,1),(105,1),(108,1),(123,1),(128,1),(129,1),(137,1)}
       119:{1,3,5,7}:{(104,1),(105,1),(109,1),(124,1),(128,1),(130,1),(137,1)}
       120:{3,5,6}:{(105,1),(106,1),(125,1)}
       121:{1,2,5}:{(107,1),(108,1),(109,1)}
       122:{1,2,4,7}:{(110,1),(111,1),(112,1),(114,1),(131,1)}
       123:{2,4,5,7}:{(111,1),(113,1),(115,1),(118,1),(133,1)}
       124:{1,4,5,7}:{(112,1),(113,1),(116,1),(119,1),(134,1)}
       125:{3,4,6}:{(113,1),(120,1),(133,1),(134,1),(139,1)}
       126:{3,4,6}:{(114,1),(131,1),(135,1),(139,1)}
       127:{1,2,4,5}:{(114,1),(115,1),(116,1),(121,1),(135,1)}
       128:{1,2,5,7}:{(117,1),(118,1),(119,1),(121,1),(136,1)}
       129:{2,3,5,6}:{(118,1),(120,1),(133,1),(136,1),(139,1)}
       130:{1,3,5,6}:{(119,1),(120,1),(134,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(126,1),(137,1)}
       132:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(127,1),(128,1),(137,1),(138,1)}
       133:{2,4,6}:{(123,1),(125,1),(129,1)}
       134:{1,4,6}:{(124,1),(125,1),(130,1)}
       135:{3,5}:{(126,1),(127,1)}
       136:{1,2,5,6}:{(128,1),(129,1),(130,1),(138,1)}
       137:{3,5,7}:{(131,1),(132,1),(135,1),(139,1)}
       138:{1,2,4,6}:{(132,1),(133,1),(134,1),(136,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1350 :   0:{1,2,3,6,7}:{(2,1),(3,1),(45,1),(82,1),(83,1),(84,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(13,1),(14,1),(17,1),(45,1),(47,1),(48,1),(49,1),(82,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(23,1),(26,1),(63,1),(68,1),(69,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(27,1),(93,1),(94,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(60,1),(61,1)}
         5:{3,4,6,7}:{(3,1),(10,1),(11,1),(36,1),(45,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(11,1),(80,1),(81,1)}
         7:{1,2,5,7}:{(3,1),(10,1),(13,1),(100,1),(101,1)}
         8:{3,4,6}:{(4,1),(11,1),(17,1),(45,1)}
         9:{1,2,4,5}:{(4,1),(17,1),(39,1),(40,1),(47,1)}
        10:{3,5,7}:{(5,1),(7,1),(19,1),(20,1)}
        11:{3,4,7}:{(6,1),(8,1),(26,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(19,1),(26,1),(27,1),(54,1),(55,1),(63,1)}
        13:{1,2,5,6}:{(7,1),(20,1),(27,1),(88,1),(89,1)}
        14:{1,2,3,6}:{(21,1),(23,1),(29,1),(95,1)}
        15:{2,3,4,6}:{(8,1),(24,1),(29,1),(30,1),(58,1),(60,1),(64,1),(86,1),(95,1)}
        16:{1,3,4,6}:{(8,1),(25,1),(29,1),(31,1),(58,1),(61,1),(65,1),(86,1),(95,1)}
        17:{3,5}:{(8,1),(9,1)}
        18:{1,2,4,5,6}:{(9,1),(27,1),(32,1),(33,1),(52,1),(60,1),(61,1),(67,1),(88,1),(89,1)}
        19:{4,5,7}:{(10,1),(36,1)}
        20:{3,5,6}:{(10,1),(13,1),(36,1),(45,1)}
        21:{1,2,3,5}:{(14,1),(38,1),(47,1),(78,1)}
        22:{3,4,5}:{(17,1),(39,1),(40,1),(41,1),(78,1)}
        23:{1,2,3,7}:{(14,1),(42,1),(104,1)}
        24:{2,3,4,7}:{(11,1),(15,1),(42,1),(43,1),(73,1),(80,1),(104,1)}
        25:{1,3,4,7}:{(11,1),(16,1),(42,1),(44,1),(73,1),(81,1),(104,1)}
        26:{3,5,7}:{(11,1),(12,1),(17,1),(45,1)}
        27:{1,2,4,6}:{(12,1),(13,1),(36,1),(45,1),(75,1),(76,1),(82,1)}
        28:{1,2,5,6,7}:{(13,1),(37,1),(46,1),(100,1),(101,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(16,1),(38,1),(42,1),(47,1),(82,1)}
        30:{2,3,5}:{(15,1),(17,1),(39,1),(47,1),(78,1),(98,1)}
        31:{1,3,5}:{(16,1),(17,1),(40,1),(47,1),(78,1),(98,1)}
        32:{3,5,6}:{(17,1),(18,1),(41,1),(45,1),(50,1)}
        33:{1,2,4,5,7}:{(18,1),(46,1),(50,1),(72,1),(80,1),(81,1),(85,1),(100,1),(101,1)}
        34:{1,2,3,5,7}:{(21,1),(23,1),(51,1),(53,1),(63,1),(87,1),(91,1)}
        35:{3,4,5,7}:{(19,1),(22,1),(26,1),(54,1),(55,1),(56,1),(62,1),(90,1),(91,1),(105,1),(111,1)}
        36:{4,6}:{(19,1),(20,1)}
        37:{3,5,6,7}:{(20,1),(28,1),(57,1),(66,1),(90,1)}
        38:{1,2,4}:{(21,1),(58,1)}
        39:{2,4,5}:{(22,1),(30,1),(60,1),(105,1)}
        40:{1,4,5}:{(22,1),(31,1),(61,1),(105,1)}
        41:{3,4,6}:{(22,1),(32,1),(60,1),(61,1),(62,1),(95,1)}
        42:{1,2,4,7}:{(23,1),(24,1),(25,1),(29,1),(63,1)}
        43:{2,3,5,7}:{(24,1),(26,1),(30,1),(54,1),(63,1),(64,1),(91,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(31,1),(55,1),(63,1),(65,1),(91,1)}
        45:{3,6}:{(26,1),(27,1)}
        46:{1,2,4,6,7}:{(27,1),(28,1),(33,1),(57,1),(66,1),(93,1),(94,1),(97,1)}
        47:{1,2,5}:{(29,1),(30,1),(31,1)}
        48:{2,3,5,6}:{(30,1),(32,1),(60,1),(64,1),(67,1),(68,1),(88,1),(95,1),(106,1)}
        49:{1,3,5,6}:{(31,1),(32,1),(61,1),(65,1),(67,1),(69,1),(89,1),(95,1),(106,1)}
        50:{3,5,7}:{(32,1),(33,1),(62,1),(66,1)}
        51:{1,2,3,6}:{(34,1),(70,1),(82,1),(102,1)}
        52:{4,5,6}:{(36,1),(71,1),(72,1),(109,1)}
        53:{1,2,4,7}:{(34,1),(38,1),(70,1),(73,1)}
        54:{2,4,5,7}:{(35,1),(39,1),(43,1),(75,1),(80,1),(100,1)}
        55:{1,4,5,7}:{(35,1),(40,1),(44,1),(76,1),(81,1),(101,1)}
        56:{3,4,6}:{(35,1),(36,1),(45,1),(71,1),(75,1),(76,1),(102,1),(109,1)}
        57:{4,6,7}:{(36,1),(37,1),(72,1)}
        58:{3,4}:{(38,1),(78,1)}
        59:{1,2,4,5}:{(38,1),(39,1),(40,1),(47,1),(78,1),(79,1)}
        60:{2,4,6}:{(39,1),(41,1),(48,1),(80,1),(109,1)}
        61:{1,4,6}:{(40,1),(41,1),(49,1),(81,1),(109,1)}
        62:{3,4,7}:{(41,1),(50,1),(80,1),(81,1),(104,1)}
        63:{1,2,5,7}:{(42,1),(43,1),(44,1),(47,1),(82,1)}
        64:{2,3,6}:{(43,1),(45,1),(75,1),(82,1),(102,1)}
        65:{1,3,6}:{(44,1),(45,1),(76,1),(82,1),(102,1)}
        66:{3,6,7}:{(45,1),(46,1),(50,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(49,1),(79,1),(82,1),(85,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(80,1),(83,1),(85,1),(100,1),(104,1),(110,1)}
        69:{1,3,5,7}:{(49,1),(50,1),(81,1),(84,1),(85,1),(101,1),(104,1),(110,1)}
        70:{1,2,4,6}:{(51,1),(53,1),(86,1),(87,1)}
        71:{3,5,6}:{(52,1),(56,1),(88,1),(89,1),(90,1)}
        72:{4,5,7}:{(52,1),(57,1),(90,1),(111,1)}
        73:{3,4,7}:{(53,1),(58,1),(86,1),(91,1),(111,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(59,1),(63,1),(87,1),(91,1),(92,1),(96,1),(105,1),(107,1),(111,1)}
        75:{2,4,6}:{(54,1),(56,1),(64,1),(88,1)}
        76:{1,4,6}:{(55,1),(56,1),(65,1),(89,1)}
        77:{3,4,6,7}:{(56,1),(57,1),(62,1),(66,1),(90,1),(93,1),(94,1),(108,1),(111,1)}
        78:{3,5}:{(58,1),(59,1),(95,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(67,1),(95,1),(96,1)}
        80:{2,4,7}:{(60,1),(62,1),(68,1),(111,1)}
        81:{1,4,7}:{(61,1),(62,1),(69,1),(111,1)}
        82:{1,2,6}:{(63,1),(64,1),(65,1)}
        83:{2,3,6,7}:{(64,1),(66,1),(68,1),(93,1),(97,1),(108,1)}
        84:{1,3,6,7}:{(65,1),(66,1),(69,1),(94,1),(97,1),(108,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(96,1),(97,1)}
        86:{3,4,6}:{(70,1),(73,1),(98,1),(102,1),(109,1)}
        87:{1,2,5}:{(70,1),(98,1)}
        88:{2,5,6}:{(71,1),(75,1),(100,1)}
        89:{1,5,6}:{(71,1),(76,1),(101,1)}
        90:{3,5,7}:{(71,1),(72,1),(77,1),(100,1),(101,1)}
        91:{3,5,7}:{(73,1),(74,1),(78,1),(98,1),(102,1),(104,1)}
        92:{1,2,4,6}:{(74,1),(75,1),(76,1),(82,1),(99,1),(102,1),(109,1)}
        93:{2,4,6,7}:{(75,1),(77,1),(80,1),(83,1),(100,1)}
        94:{1,4,6,7}:{(76,1),(77,1),(81,1),(84,1),(101,1)}
        95:{3,6}:{(78,1),(79,1),(104,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(85,1),(104,1)}
        97:{1,2,6,7}:{(82,1),(83,1),(84,1),(85,1)}
        98:{3,5}:{(86,1),(87,1),(105,1)}
        99:{1,2,5,6}:{(87,1),(88,1),(89,1),(92,1),(106,1),(107,1)}
       100:{2,5,7}:{(88,1),(90,1),(93,1)}
       101:{1,5,7}:{(89,1),(90,1),(94,1)}
       102:{3,6}:{(91,1),(92,1)}
       103:{1,2,4,6,7}:{(92,1),(93,1),(94,1),(96,1),(97,1),(107,1),(108,1),(111,1)}
       104:{3,7}:{(95,1),(96,1)}
       105:{4,5}:{(98,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(102,1),(109,1),(110,1)}
       107:{1,2,5,7}:{(99,1),(100,1),(101,1),(103,1),(110,1)}
       108:{3,6,7}:{(102,1),(103,1),(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1351 :   0:{2,3,4,6,7}:{(1,1),(2,1),(9,1),(25,1),(29,1),(31,1),(53,1),(59,1),(80,1),(86,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(38,1),(69,1),(96,1),(102,1)}
         2:{2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(75,1),(101,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(9,1),(27,1),(29,1)}
         4:{1,3,6,7}:{(1,1),(10,1),(29,1),(111,1),(115,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(114,1)}
         6:{2,4,5,7}:{(2,1),(9,1),(12,1),(80,1),(88,1)}
         7:{2,3,5,6,7}:{(3,1),(13,1),(14,1),(35,1),(37,1),(64,1),(123,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(40,1),(75,1)}
         9:{2,4,6}:{(3,1),(6,1),(18,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(125,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(46,1),(47,1),(75,1),(96,1),(103,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(49,1),(81,1),(84,1),(112,1)}
        14:{2,4,6,7}:{(7,1),(9,1),(22,1),(25,1),(80,1),(131,1)}
        15:{2,4,5,6}:{(9,1),(22,1),(27,1)}
        16:{1,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(59,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(27,1),(29,1),(30,1)}
        19:{1,4,7}:{(10,1),(28,1),(31,1),(132,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(111,1),(116,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(32,1),(49,1),(79,1),(87,1)}
        22:{2,4,5,7}:{(14,1),(15,1),(35,1),(136,1)}
        23:{1,3,5,6,7}:{(13,1),(16,1),(36,1),(37,1),(63,1),(66,1),(97,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(36,1),(37,1),(38,1),(68,1),(69,1),(96,1),(121,1)}
        25:{3,4,6,7}:{(14,1),(18,1),(35,1),(37,1),(38,1),(62,1),(135,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(39,1),(40,1),(41,1),(65,1),(71,1),(72,1),(73,1),(75,1),(98,1),(103,1),(121,1),(136,1),(139,1)}
        27:{3,5,6}:{(15,1),(18,1),(35,1),(40,1)}
        28:{1,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{1,4,6}:{(18,1),(21,1),(40,1),(43,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(46,1),(126,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(47,1),(74,1)}
        33:{2,3,5,7}:{(20,1),(44,1),(46,1),(47,1),(75,1),(77,1),(105,1)}
        34:{1,2,4,5,7}:{(22,1),(24,1),(26,1),(48,1),(49,1),(50,1),(79,1),(80,1),(81,1),(84,1)}
        35:{3,5,7}:{(22,1),(25,1),(27,1),(49,1),(138,1)}
        36:{1,4,6,7}:{(23,1),(28,1),(50,1),(51,1),(79,1),(108,1)}
        37:{3,6,7}:{(24,1),(29,1),(48,1),(111,1),(129,1)}
        38:{1,4,6,7}:{(25,1),(30,1),(49,1),(52,1),(79,1),(137,1)}
        39:{3,5,6}:{(26,1),(29,1),(48,1),(54,1),(57,1),(116,1),(129,1),(138,1)}
        40:{1,5,6}:{(27,1),(30,1),(49,1)}
        41:{1,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(59,1)}
        43:{1,3,6}:{(29,1),(30,1),(32,1),(60,1)}
        44:{2,3,6}:{(29,1),(33,1),(59,1),(60,1)}
        45:{1,3,4,7}:{(31,1),(32,1),(58,1),(61,1),(79,1),(111,1)}
        46:{2,4,7}:{(31,1),(33,1),(59,1),(117,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(37,1),(39,1),(62,1)}
        49:{1,5,7}:{(35,1),(38,1),(40,1),(139,1)}
        50:{1,4,5,7}:{(36,1),(41,1),(65,1),(66,1)}
        51:{3,4,6,7}:{(36,1),(37,1),(42,1),(62,1),(66,1),(68,1),(93,1)}
        52:{1,3,6,7}:{(37,1),(38,1),(43,1),(63,1),(69,1),(133,1)}
        53:{2,3,6,7}:{(37,1),(44,1),(64,1),(68,1),(69,1),(118,1)}
        54:{3,4,6}:{(39,1),(62,1),(70,1),(71,1),(72,1),(104,1),(126,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(63,1),(71,1),(73,1),(74,1),(104,1),(125,1),(133,1),(139,1)}
        56:{2,3,5,6}:{(39,1),(44,1),(64,1),(72,1),(73,1),(75,1),(98,1),(101,1),(104,1),(105,1),(118,1)}
        57:{3,5}:{(41,1),(42,1),(75,1)}
        58:{1,3,4,6}:{(42,1),(43,1),(45,1),(71,1),(74,1),(76,1),(104,1),(126,1)}
        59:{2,4,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(54,1),(79,1),(80,1),(111,1)}
        63:{1,3,5,7}:{(48,1),(49,1),(52,1),(55,1),(79,1),(81,1),(111,1)}
        64:{2,3,5,7}:{(48,1),(53,1),(56,1),(80,1),(81,1),(84,1),(111,1)}
        65:{1,4,5,6}:{(50,1),(82,1),(108,1)}
        66:{3,5,7}:{(50,1),(51,1),(57,1),(82,1),(84,1)}
        67:{1,3,4,6,7}:{(51,1),(52,1),(58,1),(79,1),(83,1),(85,1),(108,1),(111,1),(129,1),(130,1),(137,1)}
        68:{2,4,6,7}:{(51,1),(53,1),(59,1),(80,1),(84,1),(109,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(60,1),(81,1),(127,1)}
        70:{3,4,5}:{(54,1),(57,1),(87,1),(88,1),(116,1),(138,1)}
        71:{1,4,6}:{(54,1),(55,1),(79,1),(87,1),(132,1)}
        72:{2,4,6}:{(54,1),(56,1),(80,1),(88,1),(117,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(60,1),(81,1),(89,1),(90,1),(114,1),(127,1)}
        74:{1,3,5}:{(57,1),(58,1),(87,1),(90,1),(116,1)}
        75:{2,5}:{(57,1),(59,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{2,3,7}:{(61,1),(91,1),(111,1)}
        78:{3,4,5,7}:{(62,1),(66,1),(70,1),(93,1),(94,1),(95,1),(122,1)}
        79:{1,4,7}:{(62,1),(63,1),(71,1)}
        80:{2,4,7}:{(62,1),(64,1),(72,1)}
        81:{1,2,5,7}:{(63,1),(64,1),(69,1),(73,1),(96,1)}
        82:{3,5,6}:{(65,1),(66,1),(93,1),(98,1)}
        83:{1,3,5,7}:{(66,1),(67,1),(74,1),(94,1),(97,1),(99,1),(122,1),(139,1)}
        84:{2,5,7}:{(66,1),(68,1),(75,1),(98,1)}
        85:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(96,1),(99,1),(100,1),(121,1),(124,1)}
        86:{2,3,4,6}:{(72,1),(92,1),(101,1),(102,1),(104,1),(118,1),(126,1),(135,1)}
        87:{1,4,5}:{(70,1),(71,1),(74,1),(139,1)}
        88:{2,4,5}:{(70,1),(72,1),(75,1),(101,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(73,1),(96,1),(103,1),(104,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{2,3,6}:{(76,1),(77,1),(104,1),(105,1)}
        92:{2,3,4,7}:{(80,1),(86,1),(106,1),(107,1),(111,1),(130,1)}
        93:{3,4,6}:{(78,1),(82,1),(108,1),(109,1),(129,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(108,1)}
        95:{2,4,5,7}:{(78,1),(80,1),(84,1),(88,1),(106,1),(109,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(89,1),(111,1)}
        97:{1,3,5,6}:{(82,1),(83,1),(108,1),(112,1),(129,1)}
        98:{2,5,6}:{(82,1),(84,1),(109,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(85,1),(90,1),(112,1),(113,1)}
       100:{2,3,6,7}:{(85,1),(91,1),(111,1),(113,1),(129,1)}
       101:{2,3,5}:{(86,1),(88,1),(114,1),(116,1),(138,1)}
       102:{1,2,4,6}:{(86,1),(107,1),(114,1),(115,1),(127,1),(132,1),(137,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(89,1),(90,1),(114,1),(116,1),(117,1),(132,1)}
       104:{3,6}:{(89,1),(111,1),(116,1)}
       105:{2,3,5}:{(90,1),(91,1),(116,1),(117,1)}
       106:{2,3,5,7}:{(92,1),(95,1),(101,1),(118,1),(119,1),(122,1)}
       107:{1,2,4,7}:{(92,1),(102,1),(119,1),(120,1),(134,1)}
       108:{1,4,6}:{(93,1),(94,1),(97,1)}
       109:{2,4,6}:{(93,1),(95,1),(98,1),(118,1)}
       110:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(103,1),(119,1),(121,1),(122,1),(124,1),(134,1),(136,1),(139,1)}
       111:{3,7}:{(96,1),(104,1)}
       112:{1,2,5,6}:{(97,1),(98,1),(99,1),(121,1),(123,1),(139,1)}
       113:{2,3,5,7}:{(99,1),(100,1),(105,1),(122,1),(123,1),(124,1)}
       114:{1,2,5}:{(101,1),(102,1),(125,1),(139,1)}
       115:{1,3,6}:{(102,1),(104,1),(120,1),(125,1)}
       116:{3,5}:{(103,1),(104,1),(126,1)}
       117:{2,4}:{(105,1),(126,1)}
       118:{2,3,6}:{(106,1),(109,1),(127,1),(129,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(114,1),(127,1),(128,1)}
       120:{1,3,7}:{(107,1),(111,1),(115,1)}
       121:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1),(131,1),(137,1)}
       122:{3,5,7}:{(110,1),(111,1),(116,1),(129,1),(130,1),(138,1)}
       123:{2,3,5,6}:{(112,1),(113,1),(129,1),(131,1),(138,1)}
       124:{2,4,7}:{(113,1),(117,1),(130,1),(131,1)}
       125:{1,3,5}:{(114,1),(115,1),(116,1),(132,1)}
       126:{3,4}:{(116,1),(117,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{1,3,5,7}:{(119,1),(120,1),(122,1),(125,1),(133,1),(134,1),(139,1)}
       129:{3,6}:{(121,1),(122,1)}
       130:{3,4,7}:{(122,1),(124,1),(126,1),(134,1),(135,1)}
       131:{2,4,6}:{(123,1),(124,1),(135,1),(136,1)}
       132:{1,4}:{(125,1),(126,1)}
       133:{1,3,6}:{(127,1),(128,1),(129,1),(137,1)}
       134:{1,4,7}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,4,6}:{(129,1),(130,1),(131,1),(137,1),(138,1)}
       136:{2,4,5}:{(131,1),(138,1)}
       137:{1,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

1352 :   0:{1,2,3,6,7}:{(2,1),(3,1),(37,1),(71,1),(72,1),(76,1),(80,1),(104,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(37,1),(42,1),(45,1),(72,1),(96,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(6,1),(8,1),(22,1),(61,1),(64,1),(83,1),(88,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(23,1),(57,1),(62,1),(86,1),(87,1),(93,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(9,1),(10,1),(23,1),(60,1),(63,1)}
         5:{1,3,4,6,7}:{(2,1),(11,1),(15,1),(33,1),(37,1),(41,1),(67,1),(71,1),(95,1),(104,1)}
         6:{1,2,5,7}:{(2,1),(4,1),(11,1),(12,1),(79,1),(81,1),(94,1)}
         7:{1,2,3,5,6}:{(3,1),(12,1),(14,1),(37,1),(40,1),(74,1),(75,1),(76,1),(79,1),(80,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(95,1),(96,1),(100,1)}
         9:{2,3,5,6}:{(4,1),(12,1),(17,1),(37,1),(46,1)}
        10:{2,4,5,7}:{(4,1),(17,1),(18,1),(78,1),(96,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(19,1),(20,1),(23,1),(59,1),(82,1)}
        12:{1,2,5,6}:{(6,1),(9,1),(19,1),(22,1),(65,1),(84,1)}
        13:{1,2,4,5,7}:{(6,1),(8,1),(10,1),(20,1),(22,1),(23,1),(24,1),(31,1),(51,1),(57,1),(92,1),(101,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(89,1),(90,1)}
        15:{3,4,7}:{(8,1),(23,1),(25,1),(103,1)}
        16:{2,3,5,6,7}:{(9,1),(21,1),(28,1),(53,1),(63,1),(87,1)}
        17:{2,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(23,1),(30,1),(31,1),(58,1),(63,1),(85,1)}
        19:{1,3,5,6}:{(11,1),(12,1),(33,1),(37,1),(68,1)}
        20:{1,4,5,7}:{(11,1),(33,1),(34,1),(77,1),(95,1)}
        21:{1,2,5,6,7}:{(12,1),(16,1),(32,1),(35,1),(81,1),(94,1),(97,1)}
        22:{1,2,4,6}:{(12,1),(13,1),(17,1),(33,1),(37,1),(47,1),(69,1),(76,1)}
        23:{3,5,7}:{(13,1),(15,1),(37,1),(40,1),(99,1),(104,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(77,1),(78,1),(79,1)}
        25:{3,4,6}:{(14,1),(15,1),(37,1),(40,1)}
        26:{1,3,4,7}:{(15,1),(38,1),(41,1),(43,1),(95,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(39,1),(42,1),(43,1),(96,1),(104,1)}
        28:{2,4,6,7}:{(16,1),(17,1),(44,1),(45,1),(96,1)}
        29:{2,4,5,6}:{(17,1),(44,1),(46,1)}
        30:{3,4,6}:{(17,1),(18,1),(37,1),(46,1),(47,1)}
        31:{1,4,5,7}:{(18,1),(38,1),(47,1),(77,1),(81,1),(95,1)}
        32:{1,3,5,6,7}:{(19,1),(21,1),(48,1),(53,1),(82,1),(86,1)}
        33:{1,4,6}:{(19,1),(20,1),(50,1)}
        34:{3,4,5,7}:{(20,1),(23,1),(50,1),(51,1),(58,1),(82,1),(85,1)}
        35:{1,2,4,6,7}:{(21,1),(22,1),(28,1),(48,1),(52,1),(53,1),(64,1),(83,1),(88,1),(101,1)}
        36:{1,2,4,5,6}:{(22,1),(24,1),(29,1),(49,1),(52,1),(54,1),(65,1),(84,1),(89,1),(90,1),(91,1)}
        37:{3,6}:{(22,1),(23,1)}
        38:{1,3,5,7}:{(23,1),(26,1),(31,1),(55,1),(57,1),(59,1)}
        39:{2,3,5,7}:{(23,1),(27,1),(51,1),(56,1),(57,1),(60,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(55,1),(59,1),(61,1),(89,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(27,1),(56,1),(60,1),(61,1),(90,1),(102,1),(103,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(57,1),(61,1),(62,1)}
        44:{2,4,5,7}:{(28,1),(29,1),(63,1)}
        45:{3,4,6,7}:{(28,1),(30,1),(53,1),(63,1),(64,1),(85,1)}
        46:{3,5,6}:{(29,1),(30,1),(63,1),(65,1)}
        47:{1,4,6}:{(30,1),(31,1),(55,1),(65,1)}
        48:{1,4,6,7}:{(32,1),(33,1),(66,1),(67,1),(95,1)}
        49:{1,4,5,6}:{(33,1),(66,1),(68,1)}
        50:{3,4,6}:{(33,1),(34,1),(37,1),(68,1),(69,1)}
        51:{2,4,5,7}:{(34,1),(39,1),(69,1),(78,1),(94,1),(96,1)}
        52:{1,2,4,5,7}:{(35,1),(36,1),(44,1),(66,1),(70,1),(81,1),(94,1),(95,1),(96,1),(97,1)}
        53:{3,6,7}:{(35,1),(37,1),(70,1),(104,1)}
        54:{3,5,6}:{(36,1),(37,1),(40,1),(70,1),(73,1)}
        55:{1,3,6}:{(37,1),(38,1),(47,1),(76,1)}
        56:{2,3,6}:{(37,1),(39,1),(69,1),(76,1)}
        57:{1,2,5,7}:{(38,1),(39,1),(43,1),(76,1),(79,1)}
        58:{3,4,5}:{(40,1),(73,1),(77,1),(78,1),(99,1)}
        59:{1,3,5}:{(40,1),(41,1),(77,1),(79,1),(99,1)}
        60:{2,3,5}:{(40,1),(42,1),(78,1),(79,1),(99,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(43,1),(76,1),(79,1),(80,1),(100,1)}
        62:{1,2,3,7}:{(43,1),(80,1),(104,1)}
        63:{3,5,7}:{(44,1),(45,1),(46,1),(81,1)}
        64:{1,4,6,7}:{(45,1),(47,1),(71,1),(81,1),(95,1)}
        65:{1,5,6}:{(46,1),(47,1),(81,1)}
        66:{1,4,5,7}:{(48,1),(49,1),(82,1)}
        67:{3,4,6,7}:{(48,1),(50,1),(53,1),(82,1),(83,1),(85,1)}
        68:{3,5,6}:{(49,1),(50,1),(82,1),(84,1)}
        69:{2,4,6}:{(50,1),(51,1),(56,1),(84,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{1,3,6,7}:{(53,1),(55,1),(64,1),(86,1),(88,1)}
        72:{2,3,6,7}:{(53,1),(56,1),(83,1),(87,1),(88,1)}
        73:{3,4,6}:{(54,1),(58,1),(85,1),(89,1),(90,1),(102,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(59,1),(65,1),(86,1),(89,1),(91,1),(102,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(60,1),(84,1),(87,1),(90,1),(91,1),(102,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{1,4,5}:{(58,1),(59,1),(89,1)}
        78:{2,4,5}:{(58,1),(60,1),(90,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(62,1),(93,1),(102,1)}
        81:{1,5,7}:{(63,1),(64,1),(65,1)}
        82:{3,5,7}:{(66,1),(67,1),(68,1),(94,1)}
        83:{2,4,6,7}:{(67,1),(69,1),(72,1),(94,1),(96,1)}
        84:{2,5,6}:{(68,1),(69,1),(94,1)}
        85:{3,4,7}:{(70,1),(73,1),(95,1),(96,1),(104,1)}
        86:{1,3,5,7}:{(70,1),(71,1),(74,1),(81,1),(95,1),(97,1),(104,1)}
        87:{2,3,5,7}:{(70,1),(72,1),(75,1),(94,1),(96,1),(97,1),(104,1)}
        88:{1,2,6,7}:{(71,1),(72,1),(76,1),(97,1)}
        89:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        90:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        91:{1,2,5,6}:{(74,1),(75,1),(76,1),(79,1),(97,1),(98,1)}
        92:{1,2,4,5}:{(77,1),(78,1),(79,1),(98,1),(99,1),(100,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(99,1),(100,1)}
        94:{2,5,7}:{(82,1),(83,1),(84,1)}
        95:{1,4,7}:{(85,1),(86,1),(89,1)}
        96:{2,4,7}:{(85,1),(87,1),(90,1)}
        97:{1,2,5,7}:{(86,1),(87,1),(88,1),(91,1),(101,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(92,1),(101,1),(102,1)}
        99:{3,5}:{(92,1),(102,1),(103,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       102:{3,6}:{(98,1),(99,1),(104,1)}
       103:{3,4}:{(99,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1353 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(66,1),(119,1)}
         1:{2,3,4,6}:{(4,1),(5,1),(6,1),(18,1),(26,1),(27,1),(64,1),(66,1)}
         2:{1,2,3,5}:{(0,1),(9,1),(11,1),(34,1),(38,1),(89,1)}
         3:{1,2,3,7}:{(0,1),(10,1),(98,1),(147,1),(186,1)}
         4:{1,2,4,6}:{(0,1),(1,1),(7,1),(9,1),(10,1),(11,1),(42,1)}
         5:{2,3,4,7}:{(1,1),(10,1),(13,1),(37,1),(48,1),(98,1),(187,1)}
         6:{2,3,5}:{(1,1),(11,1),(12,1),(38,1),(96,1)}
         7:{1,3,4,6}:{(4,1),(16,1),(17,1),(18,1),(55,1),(56,1),(64,1),(66,1)}
         8:{1,2,3,5,7}:{(2,1),(3,1),(19,1),(20,1),(22,1),(58,1),(65,1),(67,1),(116,1),(118,1)}
         9:{1,2,4}:{(2,1),(18,1)}
        10:{1,2,4,7}:{(3,1),(4,1),(5,1),(16,1),(22,1),(205,1)}
        11:{1,2,5}:{(4,1),(6,1),(17,1)}
        12:{2,4,5}:{(6,1),(24,1),(26,1),(126,1)}
        13:{2,3,5,7}:{(5,1),(6,1),(22,1),(25,1),(27,1),(65,1),(206,1),(227,1)}
        14:{2,3,5,6}:{(6,1),(23,1),(26,1),(27,1),(28,1),(29,1),(66,1),(75,1),(127,1)}
        15:{2,4,5,6}:{(26,1),(29,1),(30,1),(75,1),(132,1)}
        16:{1,3,4,7}:{(7,1),(10,1),(32,1),(37,1),(85,1),(98,1),(188,1)}
        17:{1,3,5}:{(7,1),(11,1),(31,1),(38,1),(96,1)}
        18:{3,4}:{(9,1),(38,1)}
        19:{1,2,3,6}:{(8,1),(39,1),(42,1),(97,1),(146,1)}
        20:{1,2,4,7}:{(8,1),(9,1),(37,1),(39,1),(144,1)}
        21:{1,2,4,5}:{(9,1),(11,1),(12,1),(31,1),(38,1),(41,1),(44,1),(81,1),(89,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(13,1),(32,1),(42,1),(218,1),(230,1)}
        23:{1,2,5,6}:{(11,1),(14,1),(33,1),(41,1),(42,1),(43,1),(50,1),(136,1)}
        24:{3,4,5}:{(12,1),(38,1),(44,1),(46,1)}
        25:{2,4,5,7}:{(12,1),(13,1),(45,1),(47,1),(48,1),(105,1),(195,1),(223,1)}
        26:{2,4,6}:{(12,1),(14,1),(46,1),(48,1),(154,1)}
        27:{2,3,6}:{(13,1),(42,1),(47,1),(97,1)}
        28:{2,3,5,7}:{(14,1),(43,1),(48,1),(49,1),(51,1),(98,1),(105,1),(155,1)}
        29:{3,5,6}:{(15,1),(46,1),(50,1),(51,1)}
        30:{2,4,5,7}:{(15,1),(48,1),(51,1),(52,1),(105,1),(158,1)}
        31:{1,4,5}:{(17,1),(53,1),(55,1),(126,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(22,1),(54,1),(56,1),(65,1),(207,1),(228,1)}
        33:{1,3,5,6}:{(17,1),(23,1),(55,1),(56,1),(57,1),(66,1),(108,1),(114,1),(127,1)}
        34:{1,2,3}:{(59,1)}
        35:{2,3,4}:{(18,1),(59,1),(61,1)}
        36:{1,3,4}:{(18,1),(59,1),(63,1)}
        37:{3,4,7}:{(18,1),(20,1),(64,1),(65,1),(167,1),(177,1)}
        38:{3,5}:{(18,1),(21,1),(66,1)}
        39:{1,2,4,6}:{(19,1),(20,1),(64,1),(67,1)}
        40:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(25,1),(54,1),(65,1),(67,1),(68,1),(69,1),(71,1),(110,1),(118,1),(126,1),(129,1),(168,1),(177,1),(209,1)}
        41:{1,2,4,6}:{(21,1),(23,1),(26,1),(55,1),(66,1),(69,1),(72,1),(111,1),(119,1)}
        42:{1,2,6}:{(22,1),(27,1),(56,1)}
        43:{1,2,5,7}:{(23,1),(28,1),(57,1),(69,1),(70,1),(77,1),(160,1)}
        44:{1,4,5}:{(24,1),(63,1),(72,1)}
        45:{3,4,5,7}:{(24,1),(25,1),(65,1),(71,1),(73,1),(74,1),(126,1),(133,1),(174,1),(177,1),(213,1)}
        46:{3,4,6}:{(24,1),(26,1),(29,1),(66,1),(72,1),(74,1)}
        47:{2,4,6}:{(25,1),(27,1),(73,1),(75,1)}
        48:{2,4,7}:{(26,1),(28,1),(74,1),(177,1)}
        49:{2,3,6,7}:{(27,1),(28,1),(70,1),(76,1),(78,1),(128,1),(227,1)}
        50:{1,5,6}:{(29,1),(72,1),(77,1)}
        51:{3,5,7}:{(29,1),(30,1),(74,1),(77,1),(78,1)}
        52:{2,4,6,7}:{(30,1),(78,1),(79,1),(135,1)}
        53:{3,4,5}:{(31,1),(38,1),(81,1),(83,1)}
        54:{1,4,5,7}:{(31,1),(32,1),(82,1),(84,1),(85,1),(143,1),(192,1),(222,1)}
        55:{1,4,6}:{(31,1),(33,1),(83,1),(85,1),(154,1)}
        56:{1,3,6}:{(32,1),(42,1),(84,1),(97,1)}
        57:{1,3,5,7}:{(33,1),(43,1),(85,1),(86,1),(98,1),(137,1),(143,1),(155,1)}
        58:{1,2,3,7}:{(34,1),(87,1),(88,1),(221,1),(230,1)}
        59:{1,2,4}:{(34,1),(35,1),(36,1),(89,1)}
        60:{2,3,4,7}:{(35,1),(37,1),(88,1),(90,1),(91,1),(194,1),(221,1)}
        61:{2,3,5}:{(35,1),(38,1),(81,1),(89,1),(92,1)}
        62:{1,3,4,7}:{(36,1),(37,1),(88,1),(93,1),(94,1),(197,1),(221,1)}
        63:{1,3,5}:{(36,1),(38,1),(44,1),(89,1),(95,1)}
        64:{3,4,6}:{(37,1),(39,1),(96,1),(97,1),(154,1)}
        65:{3,5,7}:{(37,1),(38,1),(40,1),(96,1),(97,1),(98,1),(189,1),(221,1)}
        66:{3,6}:{(38,1),(41,1),(98,1)}
        67:{1,2,5}:{(39,1),(96,1)}
        68:{1,2,4,6}:{(40,1),(42,1),(47,1),(84,1),(97,1),(99,1),(101,1),(139,1),(146,1),(154,1)}
        69:{1,2,4,7}:{(41,1),(43,1),(48,1),(85,1),(98,1),(102,1),(140,1),(147,1)}
        70:{1,2,6,7}:{(42,1),(43,1),(49,1),(86,1),(106,1),(181,1),(230,1)}
        71:{1,4,5,7}:{(44,1),(45,1),(94,1),(101,1),(102,1),(151,1),(157,1),(197,1)}
        72:{1,4,6}:{(44,1),(46,1),(50,1),(95,1),(102,1)}
        73:{3,4,6}:{(45,1),(47,1),(97,1),(101,1),(103,1),(154,1)}
        74:{3,4,7}:{(46,1),(48,1),(51,1),(98,1),(102,1)}
        75:{2,5,6}:{(47,1),(103,1),(105,1)}
        76:{2,4,6,7}:{(47,1),(48,1),(49,1),(104,1),(105,1),(200,1),(223,1)}
        77:{1,5,7}:{(50,1),(51,1),(102,1),(106,1)}
        78:{3,6,7}:{(51,1),(52,1),(106,1)}
        79:{2,5,6,7}:{(52,1),(105,1),(107,1),(200,1)}
        80:{1,4,5,6}:{(55,1),(108,1),(109,1),(114,1),(165,1)}
        81:{2,4,5}:{(53,1),(61,1),(111,1)}
        82:{3,4,5,7}:{(53,1),(54,1),(65,1),(110,1),(112,1),(113,1),(126,1),(166,1),(171,1),(177,1),(211,1)}
        83:{3,4,6}:{(53,1),(55,1),(66,1),(108,1),(111,1),(113,1)}
        84:{1,4,6}:{(54,1),(56,1),(112,1),(114,1)}
        85:{1,4,7}:{(55,1),(57,1),(113,1),(177,1)}
        86:{1,3,6,7}:{(56,1),(57,1),(70,1),(115,1),(128,1),(161,1),(228,1)}
        87:{1,2,3,6}:{(58,1),(116,1),(117,1),(208,1),(226,1)}
        88:{1,2,4,7}:{(58,1),(59,1),(60,1),(62,1),(117,1),(118,1)}
        89:{1,2,5}:{(59,1),(61,1),(63,1),(119,1)}
        90:{2,3,4,6}:{(60,1),(64,1),(117,1),(120,1),(121,1),(167,1),(172,1),(208,1)}
        91:{2,3,5,7}:{(60,1),(61,1),(65,1),(110,1),(118,1),(120,1),(121,1),(122,1)}
        92:{2,3,6}:{(61,1),(66,1),(111,1),(119,1),(122,1)}
        93:{1,3,4,6}:{(62,1),(64,1),(117,1),(123,1),(124,1),(167,1),(175,1),(208,1)}
        94:{1,3,5,7}:{(62,1),(63,1),(65,1),(71,1),(118,1),(123,1),(124,1),(125,1)}
        95:{1,3,6}:{(63,1),(66,1),(72,1),(119,1),(125,1)}
        96:{3,5}:{(64,1),(67,1),(126,1)}
        97:{3,6}:{(65,1),(68,1)}
        98:{3,7}:{(66,1),(69,1)}
        99:{1,2,5,6}:{(67,1),(68,1),(75,1),(114,1),(127,1),(129,1),(130,1),(163,1)}
       100:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(76,1),(115,1),(128,1),(129,1),(131,1),(164,1),(170,1),(177,1),(209,1)}
       101:{1,4,6}:{(71,1),(73,1),(124,1),(130,1)}
       102:{1,4,7}:{(72,1),(74,1),(77,1),(125,1)}
       103:{3,5,6}:{(73,1),(75,1),(130,1),(132,1),(133,1)}
       104:{3,4,6,7}:{(73,1),(74,1),(76,1),(78,1),(128,1),(131,1),(133,1),(135,1),(177,1),(180,1),(213,1)}
       105:{2,5,7}:{(75,1),(76,1),(133,1)}
       106:{1,6,7}:{(77,1),(78,1)}
       107:{3,5,6,7}:{(78,1),(79,1),(133,1),(134,1),(135,1),(180,1)}
       108:{3,5,6}:{(80,1),(83,1),(136,1),(137,1)}
       109:{1,4,5,7}:{(80,1),(85,1),(137,1),(138,1),(143,1),(185,1)}
       110:{2,4,5,7}:{(81,1),(82,1),(91,1),(139,1),(140,1),(148,1),(184,1),(194,1)}
       111:{2,4,6}:{(81,1),(83,1),(92,1),(136,1),(140,1)}
       112:{3,4,6}:{(82,1),(84,1),(97,1),(139,1),(141,1),(154,1)}
       113:{3,4,7}:{(83,1),(85,1),(98,1),(137,1),(140,1)}
       114:{1,5,6}:{(84,1),(141,1),(143,1)}
       115:{1,4,6,7}:{(84,1),(85,1),(86,1),(142,1),(143,1),(222,1),(229,1)}
       116:{1,2,3,5}:{(87,1),(144,1),(145,1),(186,1),(189,1),(218,1)}
       117:{1,2,4,6}:{(87,1),(88,1),(90,1),(93,1),(144,1),(145,1),(146,1)}
       118:{1,2,5,7}:{(88,1),(89,1),(91,1),(94,1),(145,1),(146,1),(147,1)}
       119:{1,2,6}:{(89,1),(92,1),(95,1),(147,1)}
       120:{2,3,5}:{(90,1),(96,1),(145,1),(148,1),(189,1)}
       121:{2,3,6}:{(91,1),(97,1),(139,1),(146,1)}
       122:{2,3,7}:{(92,1),(98,1),(140,1),(147,1)}
       123:{1,3,5}:{(93,1),(96,1),(145,1),(151,1),(189,1)}
       124:{1,3,6}:{(94,1),(97,1),(101,1),(146,1)}
       125:{1,3,7}:{(95,1),(98,1),(102,1),(147,1)}
       126:{4,5}:{(96,1),(154,1)}
       127:{3,5,6}:{(96,1),(97,1),(99,1),(154,1),(155,1)}
       128:{3,6,7}:{(97,1),(98,1),(100,1),(155,1),(221,1)}
       129:{1,2,5,7}:{(99,1),(100,1),(105,1),(143,1),(155,1),(157,1),(184,1)}
       130:{1,5,6}:{(101,1),(103,1),(157,1)}
       131:{1,4,6,7}:{(101,1),(102,1),(104,1),(106,1),(153,1),(157,1),(197,1)}
       132:{4,5,6}:{(103,1),(154,1),(158,1)}
       133:{3,5,7}:{(103,1),(104,1),(105,1),(157,1),(158,1)}
       134:{1,5,6,7}:{(106,1),(107,1),(157,1),(159,1)}
       135:{4,6,7}:{(107,1),(158,1)}
       136:{2,5,6}:{(108,1),(111,1),(160,1)}
       137:{3,5,7}:{(108,1),(109,1),(113,1),(160,1),(161,1)}
       138:{1,4,6,7}:{(109,1),(161,1),(162,1),(202,1)}
       139:{2,4,6}:{(110,1),(112,1),(121,1),(163,1)}
       140:{2,4,7}:{(111,1),(113,1),(122,1),(160,1)}
       141:{3,5,6}:{(112,1),(114,1),(163,1),(165,1),(166,1)}
       142:{3,4,6,7}:{(112,1),(113,1),(115,1),(128,1),(161,1),(164,1),(166,1),(177,1),(202,1),(211,1),(224,1)}
       143:{1,5,7}:{(114,1),(115,1),(166,1)}
       144:{1,2,4}:{(116,1),(167,1)}
       145:{1,2,5}:{(117,1),(120,1),(123,1)}
       146:{1,2,6}:{(118,1),(121,1),(124,1)}
       147:{1,2,7}:{(119,1),(122,1),(125,1)}
       148:{2,4,5}:{(120,1),(126,1),(171,1),(172,1)}
       149:{2,3,5,6}:{(120,1),(121,1),(127,1),(163,1),(169,1),(172,1),(173,1),(203,1),(208,1)}
       150:{2,3,6,7}:{(121,1),(122,1),(128,1),(164,1),(170,1),(173,1),(224,1)}
       151:{1,4,5}:{(123,1),(126,1),(174,1),(175,1)}
       152:{1,3,5,6}:{(123,1),(124,1),(127,1),(130,1),(169,1),(175,1),(176,1),(178,1),(208,1)}
       153:{1,3,6,7}:{(124,1),(125,1),(128,1),(131,1),(170,1),(176,1),(180,1)}
       154:{4,6}:{(126,1),(127,1),(177,1)}
       155:{3,5,7}:{(127,1),(128,1),(129,1),(177,1)}
       156:{1,4,5,6}:{(130,1),(132,1),(175,1),(178,1),(179,1)}
       157:{1,5,7}:{(130,1),(131,1),(133,1)}
       158:{4,5,7}:{(132,1),(133,1),(135,1),(177,1)}
       159:{1,4,6,7}:{(134,1),(135,1),(179,1),(180,1)}
       160:{2,5,7}:{(136,1),(137,1),(140,1),(181,1)}
       161:{3,6,7}:{(137,1),(138,1),(181,1)}
       162:{1,5,6,7}:{(138,1),(143,1),(182,1),(229,1)}
       163:{2,5,6}:{(139,1),(141,1),(184,1)}
       164:{2,4,6,7}:{(139,1),(140,1),(142,1),(150,1),(181,1),(184,1),(194,1)}
       165:{4,5,6}:{(141,1),(154,1),(185,1)}
       166:{3,5,7}:{(141,1),(142,1),(143,1),(184,1),(185,1)}
       167:{3,4}:{(144,1),(189,1)}
       168:{1,2,4,5}:{(144,1),(145,1),(148,1),(151,1),(189,1),(190,1),(192,1),(195,1),(218,1)}
       169:{1,2,5,6}:{(145,1),(146,1),(149,1),(152,1),(190,1),(191,1),(198,1),(216,1)}
       170:{1,2,6,7}:{(146,1),(147,1),(150,1),(153,1),(191,1),(200,1),(229,1)}
       171:{3,4,5}:{(148,1),(189,1),(192,1),(193,1)}
       172:{2,4,6}:{(148,1),(149,1),(154,1),(193,1),(194,1)}
       173:{2,3,5,7}:{(149,1),(150,1),(155,1),(184,1),(191,1),(194,1),(217,1),(221,1)}
       174:{3,4,5}:{(151,1),(189,1),(195,1),(196,1)}
       175:{1,4,6}:{(151,1),(152,1),(154,1),(196,1),(197,1)}
       176:{1,3,5,7}:{(152,1),(153,1),(155,1),(157,1),(191,1),(197,1),(199,1),(221,1)}
       177:{4,7}:{(154,1),(155,1)}
       178:{3,5,6}:{(156,1),(196,1),(198,1),(199,1)}
       179:{1,4,5,7}:{(156,1),(157,1),(158,1),(159,1),(197,1),(199,1)}
       180:{3,6,7}:{(159,1),(199,1),(200,1)}
       181:{2,6,7}:{(160,1),(161,1)}
       182:{3,5,6,7}:{(161,1),(162,1),(166,1),(201,1),(202,1),(224,1)}
       183:{2,4,5,6}:{(163,1),(165,1),(172,1),(203,1),(204,1)}
       184:{2,5,7}:{(163,1),(164,1),(166,1)}
       185:{4,5,7}:{(165,1),(166,1),(177,1),(202,1)}
       186:{1,2,3}:{(205,1)}
       187:{2,3,4}:{(167,1),(205,1),(206,1)}
       188:{1,3,4}:{(167,1),(205,1),(207,1)}
       189:{3,5}:{(167,1),(168,1),(208,1)}
       190:{1,2,4,6}:{(168,1),(169,1),(172,1),(175,1),(208,1),(209,1),(210,1),(212,1),(226,1)}
       191:{1,2,5,7}:{(169,1),(170,1),(173,1),(176,1),(209,1),(214,1),(225,1)}
       192:{1,4,5}:{(171,1),(207,1),(210,1)}
       193:{3,4,6}:{(171,1),(172,1),(203,1),(208,1),(210,1),(211,1)}
       194:{2,4,7}:{(172,1),(173,1),(177,1),(211,1)}
       195:{2,4,5}:{(174,1),(206,1),(212,1)}
       196:{3,4,6}:{(174,1),(175,1),(178,1),(208,1),(212,1),(213,1)}
       197:{1,4,7}:{(175,1),(176,1),(177,1),(213,1)}
       198:{2,5,6}:{(178,1),(212,1),(214,1)}
       199:{3,5,7}:{(178,1),(179,1),(180,1),(213,1),(214,1)}
       200:{2,6,7}:{(180,1),(214,1)}
       201:{2,5,6,7}:{(181,1),(182,1),(184,1),(215,1)}
       202:{4,6,7}:{(182,1),(185,1)}
       203:{3,5,6}:{(183,1),(193,1),(216,1),(217,1)}
       204:{2,4,5,7}:{(183,1),(184,1),(185,1),(194,1),(215,1),(217,1)}
       205:{1,2,4}:{(186,1),(187,1),(188,1),(218,1)}
       206:{2,3,5}:{(187,1),(189,1),(195,1),(218,1),(219,1)}
       207:{1,3,5}:{(188,1),(189,1),(192,1),(218,1),(220,1)}
       208:{3,6}:{(189,1),(190,1),(221,1)}
       209:{1,2,4,7}:{(190,1),(191,1),(194,1),(197,1),(221,1),(222,1),(223,1),(230,1)}
       210:{1,4,6}:{(192,1),(193,1),(216,1),(220,1),(222,1)}
       211:{3,4,7}:{(193,1),(194,1),(217,1),(221,1),(222,1)}
       212:{2,4,6}:{(195,1),(196,1),(198,1),(219,1),(223,1)}
       213:{3,4,7}:{(196,1),(197,1),(199,1),(221,1),(223,1)}
       214:{2,5,7}:{(198,1),(199,1),(200,1),(223,1)}
       215:{2,4,6,7}:{(201,1),(202,1),(204,1),(224,1)}
       216:{1,5,6}:{(203,1),(210,1),(225,1)}
       217:{3,5,7}:{(203,1),(204,1),(211,1),(224,1),(225,1)}
       218:{1,2,5}:{(205,1),(206,1),(207,1),(226,1)}
       219:{2,3,6}:{(206,1),(208,1),(212,1),(226,1),(227,1)}
       220:{1,3,6}:{(207,1),(208,1),(210,1),(226,1),(228,1)}
       221:{3,7}:{(208,1),(209,1)}
       222:{1,4,7}:{(210,1),(211,1),(225,1),(228,1)}
       223:{2,4,7}:{(212,1),(213,1),(214,1),(227,1)}
       224:{3,6,7}:{(215,1),(217,1),(229,1)}
       225:{1,5,7}:{(216,1),(217,1),(222,1),(229,1)}
       226:{1,2,6}:{(218,1),(219,1),(220,1),(230,1)}
       227:{2,3,7}:{(219,1),(221,1),(223,1),(230,1)}
       228:{1,3,7}:{(220,1),(221,1),(222,1),(230,1)}
       229:{1,6,7}:{(224,1),(225,1)}
       230:{1,2,7}:{(226,1),(227,1),(228,1)}

1354 :   0:{1,3,4,5,7}:{(4,1),(5,1),(7,1),(51,1),(65,1),(97,1),(104,1),(109,1),(112,1),(117,1)}
         1:{1,3,4,6,7}:{(5,1),(6,1),(7,1),(9,1),(32,1),(65,1),(70,1)}
         2:{1,3,5,6,7}:{(7,1),(8,1),(9,1),(10,1),(32,1),(108,1)}
         3:{1,4,5,6,7}:{(9,1),(10,1),(158,1)}
         4:{1,2,4,5,7}:{(0,1),(11,1),(12,1),(15,1),(34,1),(44,1),(75,1),(79,1)}
         5:{1,3,4,6}:{(0,1),(12,1),(13,1),(80,1),(135,1),(138,1),(143,1)}
         6:{1,2,4,6,7}:{(1,1),(12,1),(14,1),(15,1),(44,1)}
         7:{1,3,5,7}:{(1,1),(13,1),(15,1),(16,1),(45,1),(95,1)}
         8:{1,2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(20,1),(84,1),(95,1)}
         9:{1,4,6,7}:{(2,1),(16,1),(19,1),(135,1)}
        10:{3,5,6,7}:{(3,1),(19,1),(20,1),(180,1)}
        11:{2,3,5,7}:{(4,1),(22,1),(23,1),(56,1),(112,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(23,1),(24,1),(57,1)}
        13:{1,3,5,6}:{(5,1),(7,1),(24,1),(25,1),(58,1),(97,1),(120,1)}
        14:{2,3,6,7}:{(6,1),(23,1),(28,1),(32,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(24,1),(28,1)}
        16:{1,4,5,7}:{(7,1),(9,1),(25,1),(30,1)}
        17:{2,3,5,6,7}:{(8,1),(28,1),(31,1),(32,1),(63,1),(69,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(29,1),(31,1),(32,1),(33,1),(70,1),(71,1),(111,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(30,1),(32,1),(33,1),(160,1)}
        20:{2,5,6,7}:{(10,1),(33,1),(196,1)}
        21:{1,2,3,5,7}:{(11,1),(34,1),(35,1),(72,1),(75,1)}
        22:{2,3,4,7}:{(11,1),(34,1),(37,1),(44,1),(86,1)}
        23:{2,3,6}:{(11,1),(12,1),(138,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(15,1),(38,1),(75,1)}
        25:{1,4,5,6}:{(13,1),(16,1),(40,1),(123,1),(135,1)}
        26:{1,2,3,6,7}:{(14,1),(35,1),(41,1),(42,1),(49,1),(121,1),(138,1),(184,1),(185,1)}
        27:{2,3,4,6,7}:{(14,1),(37,1),(41,1),(43,1),(44,1),(48,1),(86,1),(88,1),(138,1)}
        28:{2,3,5,7}:{(14,1),(15,1),(38,1),(44,1),(45,1)}
        29:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(46,1),(47,1),(90,1),(92,1),(95,1)}
        30:{3,4,5,7}:{(16,1),(19,1),(40,1),(45,1),(46,1)}
        31:{2,4,6,7}:{(17,1),(44,1),(47,1),(48,1),(88,1)}
        32:{3,6,7}:{(18,1),(45,1),(138,1)}
        33:{2,4,6,7}:{(19,1),(20,1),(46,1),(50,1),(182,1)}
        34:{1,2,4,7}:{(21,1),(22,1),(51,1),(53,1)}
        35:{1,2,3,6}:{(21,1),(23,1),(53,1),(96,1)}
        36:{2,3,4,5,7}:{(22,1),(52,1),(55,1),(56,1),(64,1),(102,1),(112,1),(148,1),(161,1),(186,1)}
        37:{2,3,4,6}:{(22,1),(23,1),(53,1),(56,1),(57,1),(101,1)}
        38:{2,3,5,6}:{(23,1),(24,1),(28,1),(56,1),(57,1),(58,1)}
        39:{1,2,4,5,6}:{(24,1),(25,1),(29,1),(57,1),(58,1),(59,1),(68,1),(100,1),(105,1),(107,1),(111,1),(120,1)}
        40:{3,4,5,6}:{(25,1),(30,1),(58,1),(59,1),(148,1),(160,1)}
        41:{1,2,4,6,7}:{(26,1),(27,1),(53,1),(60,1),(61,1),(62,1),(70,1),(111,1),(197,1)}
        42:{1,2,3,5,7}:{(26,1),(28,1),(54,1),(61,1),(62,1),(66,1),(112,1),(146,1),(165,1),(166,1),(191,1)}
        43:{2,3,5,7}:{(27,1),(56,1),(61,1),(63,1),(64,1),(69,1),(112,1)}
        44:{2,4,7}:{(28,1),(57,1),(65,1)}
        45:{3,5,7}:{(29,1),(32,1),(58,1),(65,1)}
        46:{2,4,5,7}:{(30,1),(33,1),(59,1),(67,1)}
        47:{2,4,5,7}:{(31,1),(68,1),(69,1)}
        48:{3,4,6,7}:{(31,1),(32,1),(65,1),(69,1),(70,1),(116,1)}
        49:{1,3,6,7}:{(32,1),(66,1),(70,1),(71,1),(163,1)}
        50:{2,3,6,7}:{(32,1),(33,1),(67,1),(71,1),(164,1)}
        51:{1,3,4,7}:{(34,1),(72,1),(73,1),(86,1),(168,1)}
        52:{1,2,4,5,7}:{(34,1),(36,1),(72,1),(74,1),(75,1),(123,1),(124,1),(168,1)}
        53:{1,2,4,6}:{(34,1),(35,1),(37,1),(73,1),(75,1)}
        54:{1,2,3,5,6}:{(35,1),(38,1),(42,1),(75,1),(76,1),(81,1),(84,1),(122,1),(126,1),(138,1),(174,1),(175,1),(176,1),(185,1)}
        55:{2,3,4,6}:{(36,1),(74,1),(78,1),(88,1),(138,1),(169,1),(182,1)}
        56:{2,3,5}:{(37,1),(75,1),(79,1),(126,1)}
        57:{2,4,6}:{(38,1),(44,1),(79,1),(80,1)}
        58:{3,5,6}:{(39,1),(45,1),(80,1),(126,1),(138,1)}
        59:{2,4,5,6}:{(40,1),(46,1),(82,1),(171,1),(182,1)}
        60:{1,3,4,6,7}:{(41,1),(73,1),(83,1),(86,1),(121,1),(135,1),(138,1),(168,1),(181,1)}
        61:{1,2,5,7}:{(41,1),(43,1),(75,1),(83,1),(84,1),(95,1),(205,1)}
        62:{1,2,4,7}:{(42,1),(44,1),(76,1),(86,1),(90,1),(168,1),(200,1)}
        63:{2,3,5,6}:{(43,1),(84,1),(88,1),(94,1),(138,1)}
        64:{2,4,5,7}:{(43,1),(44,1),(79,1),(88,1),(89,1)}
        65:{3,4,7}:{(44,1),(45,1),(80,1),(90,1)}
        66:{1,3,5,7}:{(45,1),(49,1),(81,1),(90,1),(92,1),(95,1),(144,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(50,1),(82,1),(91,1),(92,1)}
        68:{2,4,5,6}:{(47,1),(88,1),(94,1)}
        69:{3,5,7}:{(47,1),(48,1),(94,1),(95,1)}
        70:{1,4,6,7}:{(48,1),(49,1),(90,1),(95,1),(143,1)}
        71:{1,2,6,7}:{(49,1),(50,1),(92,1),(185,1)}
        72:{1,3,5,7}:{(51,1),(52,1),(96,1),(97,1),(112,1)}
        73:{1,3,4,6}:{(51,1),(53,1),(96,1),(97,1),(101,1),(147,1)}
        74:{1,2,4,6}:{(52,1),(55,1),(96,1),(99,1),(147,1)}
        75:{1,2,5}:{(53,1),(56,1),(97,1)}
        76:{1,2,4,6}:{(54,1),(57,1),(62,1),(100,1),(101,1),(105,1),(147,1),(188,1)}
        77:{2,3,4,6,7}:{(55,1),(98,1),(102,1),(115,1),(162,1),(186,1),(197,1)}
        78:{2,3,5,6}:{(55,1),(56,1),(99,1),(102,1),(103,1),(150,1),(196,1)}
        79:{2,4,5}:{(56,1),(57,1),(104,1)}
        80:{3,4,6}:{(57,1),(58,1),(65,1),(104,1),(105,1)}
        81:{1,3,5,6}:{(58,1),(66,1),(105,1),(107,1),(120,1),(151,1),(157,1),(163,1)}
        82:{2,3,5,6}:{(58,1),(59,1),(67,1),(106,1),(107,1),(152,1),(164,1)}
        83:{1,3,5,7}:{(60,1),(61,1),(97,1),(108,1),(109,1),(112,1),(195,1)}
        84:{1,2,5,6}:{(61,1),(63,1),(108,1),(111,1),(120,1),(196,1)}
        85:{1,2,4,5,7}:{(61,1),(62,1),(64,1),(100,1),(109,1),(111,1),(112,1),(117,1),(161,1),(165,1)}
        86:{3,4,7}:{(62,1),(101,1),(112,1)}
        87:{2,3,5,6,7}:{(63,1),(102,1),(110,1),(115,1),(119,1),(162,1)}
        88:{2,4,6}:{(63,1),(64,1),(116,1)}
        89:{3,4,5,7}:{(64,1),(65,1),(69,1),(104,1),(112,1),(116,1),(117,1)}
        90:{1,4,7}:{(65,1),(66,1),(105,1)}
        91:{2,3,4,7}:{(65,1),(67,1),(106,1),(118,1)}
        92:{1,2,5,7}:{(66,1),(67,1),(71,1),(107,1),(118,1)}
        93:{2,4,5,6,7}:{(68,1),(115,1),(119,1)}
        94:{3,5,6}:{(68,1),(69,1),(116,1),(120,1)}
        95:{1,5,7}:{(69,1),(70,1),(120,1)}
        96:{1,3,6}:{(72,1),(74,1),(138,1)}
        97:{1,3,5}:{(73,1),(75,1),(123,1),(126,1)}
        98:{1,2,4,6,7}:{(74,1),(77,1),(121,1),(124,1),(168,1)}
        99:{1,2,5,6}:{(74,1),(75,1),(78,1),(122,1),(124,1)}
       100:{1,2,4,5}:{(75,1),(76,1),(79,1),(123,1),(126,1),(131,1),(171,1),(175,1)}
       101:{3,4,6}:{(76,1),(86,1),(126,1),(138,1)}
       102:{2,3,5,7}:{(77,1),(78,1),(124,1),(129,1),(172,1),(205,1)}
       103:{2,4,5,6}:{(78,1),(79,1),(88,1),(129,1),(130,1)}
       104:{3,4,5}:{(79,1),(80,1),(126,1),(131,1)}
       105:{1,4,6}:{(80,1),(81,1),(90,1),(131,1)}
       106:{2,3,4,6}:{(80,1),(82,1),(91,1),(132,1),(133,1)}
       107:{1,2,5,6}:{(81,1),(82,1),(92,1),(133,1),(175,1),(185,1)}
       108:{1,3,5,6}:{(83,1),(84,1),(135,1),(138,1),(180,1)}
       109:{1,4,5,7}:{(83,1),(123,1),(135,1),(136,1),(168,1)}
       110:{1,2,5,6,7}:{(84,1),(87,1),(124,1),(134,1),(137,1),(145,1),(205,1)}
       111:{1,2,4,6}:{(84,1),(85,1),(88,1),(135,1),(138,1),(143,1),(182,1),(185,1)}
       112:{3,5,7}:{(85,1),(86,1),(126,1),(138,1)}
       113:{1,3,4,7}:{(86,1),(90,1),(127,1),(139,1),(141,1),(144,1)}
       114:{2,3,4,7}:{(86,1),(128,1),(140,1),(141,1),(200,1),(209,1)}
       115:{2,4,6,7}:{(87,1),(88,1),(129,1),(142,1)}
       116:{3,4,6}:{(88,1),(89,1),(94,1),(138,1),(143,1)}
       117:{1,4,5,7}:{(89,1),(90,1),(95,1),(131,1),(139,1),(143,1)}
       118:{1,2,4,7}:{(90,1),(91,1),(92,1),(133,1),(144,1)}
       119:{3,5,6,7}:{(93,1),(94,1),(142,1),(145,1)}
       120:{1,5,6}:{(94,1),(95,1),(143,1)}
       121:{1,3,6,7}:{(96,1),(98,1),(146,1),(162,1)}
       122:{1,3,5,6}:{(96,1),(97,1),(99,1),(146,1),(147,1),(150,1)}
       123:{1,4,5}:{(97,1),(147,1),(148,1)}
       124:{1,2,5,7}:{(98,1),(99,1),(102,1),(146,1)}
       125:{1,2,4,5,6}:{(99,1),(100,1),(103,1),(111,1),(147,1),(149,1),(150,1),(155,1),(158,1),(188,1),(192,1),(196,1)}
       126:{3,5}:{(100,1),(101,1)}
       127:{1,3,4,6}:{(101,1),(105,1),(113,1),(151,1),(153,1),(157,1),(163,1),(194,1)}
       128:{2,3,4,6}:{(101,1),(114,1),(152,1),(153,1),(164,1),(188,1),(207,1),(208,1)}
       129:{2,4,5,7}:{(102,1),(103,1),(115,1),(154,1)}
       130:{3,4,5,6}:{(103,1),(104,1),(116,1),(150,1),(154,1),(155,1)}
       131:{1,4,5}:{(104,1),(105,1),(151,1)}
       132:{2,3,4,5}:{(104,1),(106,1),(152,1),(156,1),(208,1)}
       133:{1,2,4,6}:{(105,1),(106,1),(107,1),(118,1),(156,1),(157,1)}
       134:{1,3,5,6,7}:{(108,1),(110,1),(146,1),(159,1),(162,1),(195,1)}
       135:{1,4,6}:{(108,1),(109,1),(160,1)}
       136:{3,4,5,7}:{(109,1),(112,1),(148,1),(160,1),(161,1),(186,1),(195,1)}
       137:{1,2,4,6,7}:{(110,1),(111,1),(115,1),(149,1),(159,1),(162,1),(167,1),(197,1),(198,1)}
       138:{3,6}:{(111,1),(112,1)}
       139:{1,3,5,7}:{(112,1),(113,1),(117,1),(151,1),(163,1),(165,1)}
       140:{2,3,5,7}:{(112,1),(114,1),(152,1),(161,1),(164,1),(165,1)}
       141:{1,2,4,7}:{(113,1),(114,1),(153,1),(165,1),(166,1)}
       142:{3,4,6,7}:{(115,1),(116,1),(119,1),(154,1),(162,1),(167,1)}
       143:{1,4,6}:{(116,1),(117,1),(120,1),(163,1)}
       144:{1,3,7}:{(118,1),(157,1)}
       145:{1,5,6,7}:{(119,1),(120,1),(167,1)}
       146:{1,3,5,7}:{(121,1),(122,1),(124,1),(168,1),(172,1)}
       147:{1,4,6}:{(122,1),(123,1),(168,1),(169,1)}
       148:{3,4,5}:{(123,1),(126,1),(169,1),(171,1)}
       149:{1,2,4,5,7}:{(124,1),(125,1),(129,1),(137,1),(168,1),(172,1),(177,1),(179,1),(200,1),(203,1),(205,1)}
       150:{3,5,6}:{(125,1),(126,1),(138,1),(169,1),(172,1)}
       151:{1,3,5}:{(126,1),(127,1),(131,1),(175,1)}
       152:{2,3,5}:{(126,1),(128,1),(171,1),(175,1)}
       153:{1,2,4,6}:{(127,1),(128,1),(141,1),(175,1),(176,1),(185,1),(204,1)}
       154:{3,4,5,7}:{(129,1),(130,1),(142,1),(172,1),(177,1)}
       155:{1,4,5,6}:{(130,1),(131,1),(143,1),(173,1),(177,1)}
       156:{1,2,4,5}:{(131,1),(132,1),(133,1),(175,1),(178,1),(204,1)}
       157:{1,3,6}:{(133,1),(144,1),(178,1)}
       158:{1,4,5,6}:{(135,1),(179,1),(180,1)}
       159:{1,4,6,7}:{(134,1),(135,1),(168,1),(179,1),(181,1)}
       160:{3,4,6}:{(135,1),(136,1),(138,1),(180,1),(182,1)}
       161:{2,4,5,7}:{(136,1),(140,1),(171,1),(182,1),(200,1),(205,1)}
       162:{3,6,7}:{(137,1),(138,1),(172,1)}
       163:{1,3,6}:{(138,1),(139,1),(143,1),(185,1)}
       164:{2,3,6}:{(138,1),(140,1),(182,1),(185,1)}
       165:{1,2,5,7}:{(139,1),(140,1),(141,1),(175,1),(185,1)}
       166:{1,2,3,7}:{(141,1),(144,1),(176,1),(209,1)}
       167:{1,4,6,7}:{(142,1),(143,1),(145,1),(177,1),(183,1)}
       168:{1,4,7}:{(146,1),(147,1),(186,1)}
       169:{3,4,6}:{(147,1),(148,1),(150,1),(186,1),(188,1)}
       170:{1,3,4,5}:{(148,1),(151,1),(187,1),(189,1),(194,1)}
       171:{2,4,5}:{(148,1),(152,1),(188,1)}
       172:{3,5,7}:{(149,1),(150,1),(162,1),(186,1)}
       173:{1,3,5,6}:{(150,1),(151,1),(155,1),(163,1),(187,1),(190,1),(192,1)}
       174:{2,3,5,6}:{(150,1),(152,1),(164,1),(188,1),(191,1),(192,1),(196,1),(207,1)}
       175:{1,2,5}:{(151,1),(152,1),(153,1)}
       176:{1,2,3,6}:{(153,1),(157,1),(166,1),(193,1),(207,1)}
       177:{1,4,5,7}:{(154,1),(155,1),(167,1),(190,1)}
       178:{1,3,5}:{(156,1),(157,1),(194,1)}
       179:{1,4,5,7}:{(158,1),(159,1),(195,1)}
       180:{3,5,6}:{(158,1),(160,1),(195,1),(196,1)}
       181:{3,4,6,7}:{(159,1),(160,1),(162,1),(186,1),(195,1),(197,1)}
       182:{2,4,6}:{(160,1),(161,1),(164,1),(196,1)}
       183:{1,3,6,7}:{(162,1),(163,1),(167,1),(190,1),(198,1)}
       184:{2,3,6,7}:{(162,1),(164,1),(191,1),(197,1),(198,1)}
       185:{1,2,6}:{(163,1),(164,1),(165,1)}
       186:{3,4,7}:{(168,1),(169,1),(172,1),(200,1)}
       187:{1,3,4,6}:{(169,1),(170,1),(173,1),(199,1),(201,1)}
       188:{2,4,6}:{(169,1),(171,1),(174,1),(200,1)}
       189:{1,2,4,5}:{(170,1),(171,1),(175,1),(201,1),(202,1),(204,1)}
       190:{1,3,5,7}:{(172,1),(173,1),(177,1),(183,1),(199,1),(203,1)}
       191:{2,3,5,7}:{(172,1),(174,1),(184,1),(200,1),(203,1),(205,1),(209,1)}
       192:{1,2,5,6}:{(173,1),(174,1),(175,1),(185,1),(201,1),(203,1)}
       193:{1,2,3,5}:{(175,1),(176,1),(178,1),(202,1),(204,1)}
       194:{1,3,4}:{(178,1),(204,1)}
       195:{3,5,7}:{(179,1),(180,1),(181,1),(205,1)}
       196:{2,5,6}:{(180,1),(182,1),(205,1)}
       197:{2,4,6,7}:{(181,1),(182,1),(184,1),(200,1),(205,1)}
       198:{1,2,6,7}:{(183,1),(184,1),(185,1),(203,1)}
       199:{1,3,4,7}:{(186,1),(187,1),(190,1),(206,1)}
       200:{2,4,7}:{(186,1),(188,1),(191,1)}
       201:{1,2,4,6}:{(187,1),(188,1),(189,1),(192,1),(206,1),(207,1)}
       202:{2,3,5}:{(189,1),(207,1),(208,1)}
       203:{1,2,5,7}:{(190,1),(191,1),(192,1),(198,1),(206,1)}
       204:{1,2,4}:{(193,1),(194,1),(208,1)}
       205:{2,5,7}:{(195,1),(196,1),(197,1)}
       206:{1,2,4,7}:{(199,1),(200,1),(201,1),(203,1),(209,1)}
       207:{2,3,6}:{(201,1),(202,1),(209,1)}
       208:{2,3,4}:{(202,1),(204,1)}
       209:{2,3,7}:{(206,1),(207,1)}

1355 :   0:{2,4,5,6}:{(4,1),(5,1),(30,1),(31,1),(87,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(30,1),(40,1),(85,1),(90,1),(129,1),(144,1)}
         2:{3,4,5}:{(11,1),(13,1),(14,1),(61,1)}
         3:{2,5,6,7}:{(10,1),(15,1),(98,1),(113,1)}
         4:{2,4,5,7}:{(0,1),(15,1),(16,1),(52,1),(55,1),(113,1)}
         5:{3,5,6}:{(0,1),(11,1),(16,1),(17,1)}
         6:{2,3,5}:{(1,1),(14,1),(20,1),(61,1),(153,1),(166,1)}
         7:{2,3,4,7}:{(1,1),(19,1),(21,1),(55,1),(111,1),(115,1),(119,1),(152,1)}
         8:{1,2,4,6}:{(1,1),(20,1),(21,1),(22,1),(66,1),(68,1),(123,1)}
         9:{1,3,4}:{(24,1),(26,1),(90,1)}
        10:{3,5,6,7}:{(3,1),(23,1),(27,1),(36,1),(70,1),(81,1)}
        11:{3,4,6}:{(2,1),(5,1),(28,1),(29,1),(30,1),(85,1)}
        12:{3,4,5,7}:{(2,1),(28,1),(32,1),(33,1),(34,1),(77,1),(81,1),(89,1),(124,1),(180,1),(183,1)}
        13:{1,4,5}:{(2,1),(24,1),(29,1)}
        14:{2,4,5}:{(2,1),(6,1),(30,1),(183,1)}
        15:{2,4,6,7}:{(3,1),(4,1),(27,1),(36,1)}
        16:{3,5,7}:{(4,1),(5,1),(28,1),(36,1),(37,1)}
        17:{1,5,6}:{(5,1),(29,1),(37,1)}
        18:{2,3,5,6}:{(5,1),(6,1),(30,1),(38,1),(39,1),(40,1),(85,1),(87,1),(143,1)}
        19:{2,3,5,7}:{(6,1),(7,1),(34,1),(40,1),(41,1),(89,1),(135,1),(169,1),(173,1)}
        20:{1,2,5}:{(6,1),(8,1),(42,1),(147,1)}
        21:{1,2,4,7}:{(7,1),(8,1),(41,1),(43,1),(95,1),(138,1)}
        22:{1,3,6}:{(8,1),(42,1),(43,1),(85,1)}
        23:{1,5,6,7}:{(10,1),(44,1),(62,1),(112,1)}
        24:{1,3,5}:{(9,1),(13,1),(45,1),(48,1),(61,1)}
        25:{1,3,4,7}:{(9,1),(47,1),(49,1),(50,1),(119,1),(148,1),(186,1),(203,1)}
        26:{1,2,4}:{(9,1),(48,1),(51,1),(106,1)}
        27:{4,6,7}:{(10,1),(52,1)}
        28:{3,4,7}:{(11,1),(16,1),(54,1),(55,1),(115,1)}
        29:{1,4,6}:{(11,1),(13,1),(17,1),(45,1),(54,1)}
        30:{2,4,6}:{(11,1),(14,1),(18,1),(55,1),(165,1)}
        31:{4,5,6}:{(52,1),(57,1),(165,1)}
        32:{3,4,6}:{(12,1),(57,1),(58,1),(59,1),(118,1),(165,1)}
        33:{1,4,5,7}:{(12,1),(13,1),(47,1),(54,1),(58,1),(107,1),(112,1),(148,1)}
        34:{2,4,5,7}:{(12,1),(14,1),(19,1),(55,1),(59,1),(108,1),(113,1),(149,1)}
        35:{1,2,4,5}:{(13,1),(14,1),(20,1),(48,1),(56,1),(61,1),(68,1),(106,1),(122,1),(153,1)}
        36:{3,6,7}:{(15,1),(16,1),(62,1)}
        37:{1,5,7}:{(16,1),(17,1),(54,1),(62,1)}
        38:{2,3,5,7}:{(16,1),(18,1),(55,1),(63,1),(64,1),(113,1),(115,1),(162,1)}
        39:{1,2,5,6}:{(17,1),(18,1),(20,1),(56,1),(64,1),(65,1),(66,1),(153,1),(189,1)}
        40:{2,3,6}:{(19,1),(59,1),(66,1),(118,1),(189,1)}
        41:{1,2,5,7}:{(19,1),(20,1),(21,1),(66,1),(67,1),(158,1),(185,1)}
        42:{1,3,5}:{(20,1),(22,1),(61,1),(68,1)}
        43:{1,3,7}:{(21,1),(22,1),(115,1),(161,1)}
        44:{1,4,6,7}:{(23,1),(27,1),(69,1),(70,1)}
        45:{1,3,6}:{(24,1),(29,1),(71,1),(72,1),(85,1)}
        46:{1,4,5,6}:{(31,1),(69,1),(73,1),(86,1),(130,1)}
        47:{1,3,5,7}:{(24,1),(25,1),(33,1),(71,1),(74,1),(75,1),(78,1),(89,1),(207,1)}
        48:{1,2,5}:{(24,1),(26,1),(72,1),(76,1)}
        49:{1,3,4,6}:{(25,1),(74,1),(78,1),(79,1),(130,1),(144,1),(175,1),(179,1),(200,1)}
        50:{1,2,4,7}:{(25,1),(26,1),(75,1),(79,1),(80,1),(134,1)}
        51:{2,3}:{(26,1)}
        52:{4,5,7}:{(27,1),(31,1),(81,1),(180,1)}
        53:{3,4,6,7}:{(27,1),(28,1),(32,1),(36,1),(70,1),(81,1),(82,1),(83,1),(124,1),(140,1),(180,1)}
        54:{1,4,7}:{(28,1),(29,1),(37,1),(71,1)}
        55:{2,4,7}:{(28,1),(30,1),(38,1),(180,1)}
        56:{1,2,4,6}:{(29,1),(30,1),(35,1),(39,1),(72,1),(84,1),(85,1),(93,1),(129,1)}
        57:{3,5,6}:{(31,1),(32,1),(81,1),(86,1),(87,1)}
        58:{1,4,6}:{(32,1),(33,1),(74,1),(86,1)}
        59:{2,4,6}:{(32,1),(34,1),(40,1),(87,1)}
        60:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(41,1),(75,1),(84,1),(88,1),(89,1),(95,1),(134,1),(136,1),(139,1),(146,1),(147,1),(170,1),(173,1),(177,1),(180,1),(183,1),(198,1),(207,1)}
        61:{3,5}:{(35,1),(85,1),(90,1)}
        62:{1,6,7}:{(36,1),(37,1)}
        63:{2,3,6,7}:{(36,1),(38,1),(40,1),(83,1),(91,1),(140,1),(169,1)}
        64:{1,2,5,7}:{(37,1),(38,1),(39,1),(84,1),(91,1),(92,1),(173,1)}
        65:{1,3,5,6}:{(39,1),(42,1),(85,1),(92,1),(93,1),(94,1),(142,1),(143,1),(147,1),(182,1),(184,1)}
        66:{1,2,6}:{(40,1),(41,1),(94,1)}
        67:{1,3,5,7}:{(41,1),(42,1),(43,1),(89,1),(94,1),(95,1),(147,1),(178,1),(196,1),(207,1)}
        68:{1,4}:{(42,1),(90,1)}
        69:{1,4,5,7}:{(44,1),(46,1),(52,1),(96,1),(112,1),(148,1)}
        70:{3,6,7}:{(44,1),(96,1),(98,1)}
        71:{1,3,7}:{(45,1),(54,1),(99,1),(115,1)}
        72:{1,2,6}:{(45,1),(48,1),(99,1),(100,1)}
        73:{3,5,6}:{(46,1),(96,1),(101,1),(103,1)}
        74:{1,3,6}:{(47,1),(58,1),(104,1),(118,1),(209,1)}
        75:{1,2,5,7}:{(47,1),(48,1),(50,1),(99,1),(104,1),(105,1),(109,1)}
        76:{2,3,5}:{(48,1),(51,1),(61,1),(100,1),(106,1),(153,1)}
        77:{3,4,5}:{(101,1),(107,1),(108,1),(159,1)}
        78:{1,3,5}:{(49,1),(107,1),(109,1),(159,1),(166,1),(206,1)}
        79:{1,2,4,6}:{(49,1),(50,1),(104,1),(109,1),(110,1),(157,1),(160,1)}
        80:{2,3,7}:{(50,1),(51,1),(110,1),(186,1)}
        81:{3,5,7}:{(52,1),(53,1),(57,1),(112,1),(113,1)}
        82:{1,4,6,7}:{(53,1),(54,1),(58,1),(62,1),(97,1),(112,1),(148,1)}
        83:{2,4,6,7}:{(53,1),(55,1),(59,1),(63,1),(98,1),(113,1),(149,1)}
        84:{1,2,4,7}:{(54,1),(55,1),(56,1),(64,1),(99,1),(115,1),(121,1),(152,1)}
        85:{3,6}:{(56,1),(61,1),(115,1)}
        86:{1,5,6}:{(57,1),(58,1),(112,1)}
        87:{2,5,6}:{(57,1),(59,1),(113,1)}
        88:{1,2,4,6}:{(58,1),(59,1),(60,1),(66,1),(104,1),(117,1),(118,1),(123,1),(157,1),(165,1),(168,1),(189,1),(205,1),(209,1)}
        89:{3,5,7}:{(60,1),(61,1),(115,1),(118,1),(119,1),(159,1),(166,1),(186,1)}
        90:{3,4}:{(61,1),(68,1),(106,1)}
        91:{1,2,6,7}:{(62,1),(63,1),(64,1),(66,1),(120,1),(185,1),(189,1)}
        92:{1,3,5,7}:{(64,1),(65,1),(115,1),(120,1),(121,1),(162,1),(164,1),(167,1)}
        93:{1,4,6}:{(65,1),(68,1),(116,1),(121,1),(122,1),(165,1)}
        94:{1,3,6}:{(66,1),(67,1),(118,1),(123,1),(209,1)}
        95:{1,4,7}:{(67,1),(68,1),(119,1),(123,1),(193,1)}
        96:{3,5,7}:{(69,1),(70,1),(73,1),(124,1),(126,1)}
        97:{1,3,6,7}:{(70,1),(71,1),(74,1),(82,1),(125,1),(127,1),(140,1)}
        98:{2,6,7}:{(70,1),(126,1)}
        99:{1,2,7}:{(71,1),(72,1),(128,1)}
       100:{2,3,6}:{(72,1),(76,1),(85,1),(128,1),(129,1)}
       101:{3,4,6}:{(73,1),(77,1),(124,1),(130,1),(131,1),(175,1)}
       102:{1,3,5,6}:{(73,1),(74,1),(78,1),(86,1),(125,1),(130,1),(132,1),(143,1),(175,1)}
       103:{2,5,6}:{(73,1),(126,1),(131,1)}
       104:{1,2,6}:{(74,1),(75,1),(133,1)}
       105:{2,3,5,7}:{(75,1),(76,1),(80,1),(89,1),(128,1),(133,1),(134,1),(137,1),(173,1),(177,1)}
       106:{2,4}:{(76,1),(90,1)}
       107:{1,4,5}:{(77,1),(78,1),(130,1),(183,1)}
       108:{2,4,5}:{(77,1),(131,1),(135,1)}
       109:{1,2,5}:{(78,1),(79,1),(137,1),(177,1)}
       110:{2,3,6}:{(79,1),(80,1),(137,1),(175,1)}
       111:{2,3,4}:{(135,1),(138,1),(179,1)}
       112:{1,5,7}:{(81,1),(82,1),(86,1)}
       113:{2,5,7}:{(81,1),(83,1),(87,1)}
       114:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(88,1),(91,1),(127,1),(139,1),(140,1),(145,1),(170,1),(172,1),(180,1)}
       115:{3,7}:{(84,1),(85,1)}
       116:{3,4,6}:{(85,1),(90,1),(93,1),(129,1),(141,1),(142,1),(182,1)}
       117:{1,2,5,6}:{(86,1),(87,1),(88,1),(139,1),(143,1),(147,1),(177,1),(184,1),(199,1)}
       118:{3,6}:{(88,1),(89,1)}
       119:{3,4,7}:{(89,1),(90,1),(95,1),(134,1),(144,1),(179,1),(180,1)}
       120:{1,3,6,7}:{(91,1),(92,1),(94,1),(140,1),(145,1),(182,1),(196,1)}
       121:{1,4,7}:{(92,1),(93,1),(141,1),(180,1)}
       122:{1,4,5}:{(93,1),(142,1),(147,1),(183,1)}
       123:{1,4,6}:{(94,1),(95,1),(144,1),(147,1)}
       124:{3,4,7}:{(96,1),(101,1),(148,1),(149,1),(186,1)}
       125:{1,3,5,7}:{(96,1),(97,1),(102,1),(112,1),(148,1),(150,1),(162,1),(186,1)}
       126:{2,5,7}:{(96,1),(98,1),(103,1),(149,1)}
       127:{1,2,6,7}:{(97,1),(98,1),(99,1),(104,1),(150,1),(151,1),(209,1)}
       128:{2,3,7}:{(99,1),(100,1),(115,1),(152,1)}
       129:{2,4,6}:{(100,1),(106,1),(116,1),(152,1),(153,1),(189,1)}
       130:{1,4,6}:{(101,1),(102,1),(107,1),(148,1),(165,1)}
       131:{2,4,6}:{(101,1),(103,1),(108,1),(149,1),(154,1)}
       132:{1,2,5,6}:{(102,1),(103,1),(104,1),(109,1),(150,1),(155,1),(156,1),(206,1),(209,1)}
       133:{2,3,6}:{(104,1),(105,1),(118,1),(157,1),(189,1)}
       134:{2,4,7}:{(105,1),(106,1),(119,1),(157,1),(160,1)}
       135:{2,3,5}:{(108,1),(111,1),(154,1),(158,1),(159,1)}
       136:{1,2,4,5}:{(107,1),(108,1),(109,1),(155,1),(158,1),(159,1),(160,1),(192,1),(193,1),(206,1)}
       137:{2,3,5}:{(109,1),(110,1),(159,1),(160,1)}
       138:{1,2,4}:{(111,1),(158,1),(161,1),(193,1)}
       139:{1,2,5,7}:{(112,1),(113,1),(114,1),(117,1),(162,1),(167,1),(188,1)}
       140:{3,6,7}:{(114,1),(115,1),(118,1),(162,1),(186,1)}
       141:{3,4,7}:{(115,1),(116,1),(121,1),(152,1),(164,1)}
       142:{3,5}:{(116,1),(122,1),(153,1)}
       143:{3,5,6}:{(117,1),(118,1),(162,1),(165,1),(166,1)}
       144:{3,4,6}:{(118,1),(119,1),(123,1),(157,1),(165,1),(166,1)}
       145:{1,4,6,7}:{(120,1),(121,1),(123,1),(163,1),(167,1),(168,1),(203,1),(209,1)}
       146:{1,4,5,7}:{(121,1),(122,1),(164,1),(167,1),(168,1),(194,1)}
       147:{1,5}:{(123,1),(166,1)}
       148:{1,4,7}:{(124,1),(125,1),(130,1),(180,1)}
       149:{2,4,7}:{(124,1),(126,1),(131,1),(169,1)}
       150:{1,2,5,7}:{(125,1),(126,1),(127,1),(132,1),(170,1),(171,1),(207,1)}
       151:{2,3,6,7}:{(127,1),(128,1),(133,1),(140,1),(171,1),(172,1),(208,1)}
       152:{2,4,7}:{(128,1),(129,1),(141,1),(173,1)}
       153:{2,5}:{(129,1),(142,1)}
       154:{2,3,6}:{(131,1),(135,1),(169,1),(174,1),(175,1)}
       155:{1,2,4,6}:{(130,1),(131,1),(132,1),(136,1),(170,1),(174,1),(175,1),(176,1),(200,1)}
       156:{2,3,5,6}:{(132,1),(133,1),(137,1),(143,1),(171,1),(175,1),(176,1),(177,1),(199,1),(201,1),(208,1)}
       157:{2,4,6}:{(133,1),(134,1),(144,1),(177,1)}
       158:{1,2,5}:{(135,1),(138,1),(174,1),(178,1)}
       159:{3,5}:{(136,1),(175,1),(179,1)}
       160:{2,4}:{(137,1),(179,1)}
       161:{1,3}:{(138,1)}
       162:{3,5,7}:{(139,1),(140,1),(143,1),(180,1)}
       163:{3,4,6,7}:{(140,1),(141,1),(144,1),(145,1),(172,1),(180,1),(181,1),(182,1),(197,1),(202,1),(208,1)}
       164:{3,5,7}:{(141,1),(142,1),(146,1),(173,1),(182,1)}
       165:{4,6}:{(143,1),(180,1),(183,1)}
       166:{3,5}:{(144,1),(147,1),(177,1),(183,1)}
       167:{1,5,7}:{(145,1),(147,1),(181,1),(184,1)}
       168:{1,4,6}:{(146,1),(182,1),(184,1),(202,1)}
       169:{2,3,7}:{(149,1),(154,1),(185,1),(186,1)}
       170:{1,2,4,7}:{(148,1),(149,1),(150,1),(155,1),(185,1),(186,1),(187,1),(203,1)}
       171:{2,3,5,7}:{(150,1),(151,1),(156,1),(162,1),(186,1),(187,1),(188,1),(204,1)}
       172:{2,4,6,7}:{(151,1),(152,1),(157,1),(163,1),(187,1),(188,1),(189,1),(205,1)}
       173:{2,5,7}:{(152,1),(153,1),(164,1),(189,1)}
       174:{1,2,6}:{(154,1),(158,1),(185,1),(190,1)}
       175:{3,6}:{(155,1),(159,1),(186,1)}
       176:{2,4,6}:{(156,1),(160,1),(165,1),(187,1),(191,1),(192,1)}
       177:{2,5}:{(157,1),(166,1)}
       178:{1,3,5}:{(158,1),(159,1),(161,1),(190,1),(193,1),(206,1)}
       179:{3,4}:{(159,1),(160,1),(193,1)}
       180:{4,7}:{(162,1),(165,1)}
       181:{3,5,7}:{(163,1),(166,1),(167,1),(188,1),(194,1),(195,1)}
       182:{3,6}:{(164,1),(168,1),(189,1)}
       183:{4,5}:{(165,1),(166,1)}
       184:{1,5,6}:{(167,1),(168,1),(195,1),(209,1)}
       185:{1,2,7}:{(169,1),(174,1),(196,1)}
       186:{3,7}:{(170,1),(175,1)}
       187:{2,4,7}:{(171,1),(176,1),(180,1),(197,1)}
       188:{2,5,7}:{(172,1),(177,1),(181,1),(199,1)}
       189:{2,6}:{(173,1),(182,1)}
       190:{1,3,6}:{(174,1),(175,1),(178,1),(196,1),(200,1)}
       191:{3,4,6}:{(175,1),(176,1),(179,1),(197,1),(200,1),(201,1),(208,1)}
       192:{2,4,5}:{(176,1),(177,1),(183,1),(201,1)}
       193:{1,4}:{(178,1),(179,1)}
       194:{4,5,7}:{(180,1),(181,1),(183,1),(202,1)}
       195:{3,5,6}:{(181,1),(182,1),(184,1),(199,1),(202,1),(208,1)}
       196:{1,3,7}:{(185,1),(186,1),(190,1),(203,1)}
       197:{3,4,7}:{(186,1),(187,1),(191,1),(203,1),(204,1)}
       198:{2,4,5,7}:{(187,1),(188,1),(192,1),(194,1),(204,1),(205,1)}
       199:{2,5,6}:{(188,1),(189,1),(195,1),(205,1)}
       200:{1,4,6}:{(190,1),(191,1),(193,1),(203,1),(206,1),(209,1)}
       201:{3,5}:{(191,1),(192,1),(206,1)}
       202:{4,6}:{(194,1),(195,1)}
       203:{1,4,7}:{(196,1),(197,1),(200,1),(207,1)}
       204:{3,5,7}:{(197,1),(198,1),(201,1),(207,1),(208,1)}
       205:{2,4,6}:{(198,1),(199,1),(202,1),(208,1)}
       206:{1,5}:{(200,1),(201,1)}
       207:{1,5,7}:{(203,1),(204,1),(206,1),(209,1)}
       208:{3,6}:{(204,1),(205,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

1356 :   0:{1,2,3,6}:{(3,1),(5,1),(6,1),(78,1),(86,1)}
         1:{2,3,4,6}:{(5,1),(7,1),(8,1),(31,1),(35,1),(46,1),(86,1),(88,1)}
         2:{2,4,5,6}:{(9,1),(10,1),(35,1),(93,1),(97,1)}
         3:{1,2,3,5}:{(0,1),(11,1),(13,1),(20,1),(51,1),(57,1)}
         4:{3,4,5}:{(15,1),(16,1),(17,1),(57,1)}
         5:{1,2,4,6}:{(0,1),(1,1),(13,1),(19,1),(20,1),(21,1),(72,1)}
         6:{1,2,3,7}:{(0,1),(21,1),(109,1),(118,1),(210,1)}
         7:{2,3,5}:{(1,1),(15,1),(20,1),(57,1),(120,1)}
         8:{2,3,4,7}:{(1,1),(21,1),(23,1),(58,1),(62,1),(118,1),(167,1)}
         9:{3,5,6}:{(2,1),(17,1),(24,1),(25,1)}
        10:{2,4,5,7}:{(2,1),(25,1),(26,1),(62,1),(123,1),(126,1)}
        11:{1,2,3}:{(27,1)}
        12:{1,3,4}:{(27,1),(29,1),(31,1)}
        13:{1,2,4}:{(3,1),(31,1)}
        14:{1,2,3,5,7}:{(3,1),(6,1),(28,1),(33,1),(34,1),(44,1),(79,1),(81,1),(87,1),(91,1)}
        15:{2,4,5}:{(4,1),(7,1),(35,1),(149,1)}
        16:{1,4,5}:{(4,1),(29,1),(37,1)}
        17:{3,4,6}:{(4,1),(9,1),(35,1),(37,1),(39,1),(86,1)}
        18:{3,4,5,7}:{(4,1),(36,1),(38,1),(39,1),(40,1),(87,1),(96,1),(143,1),(149,1),(192,1),(197,1)}
        19:{1,3,4,6}:{(5,1),(31,1),(41,1),(42,1),(86,1),(88,1),(98,1),(101,1)}
        20:{1,2,5}:{(5,1),(7,1),(41,1)}
        21:{1,2,4,7}:{(5,1),(6,1),(8,1),(42,1),(44,1),(191,1)}
        22:{2,3,5,6}:{(7,1),(9,1),(35,1),(43,1),(45,1),(46,1),(86,1),(93,1),(148,1)}
        23:{2,3,5,7}:{(7,1),(8,1),(36,1),(44,1),(46,1),(87,1),(190,1),(220,1)}
        24:{1,5,6}:{(9,1),(37,1),(47,1)}
        25:{3,5,7}:{(9,1),(10,1),(39,1),(47,1),(48,1)}
        26:{2,4,6,7}:{(10,1),(48,1),(49,1),(104,1)}
        27:{1,2,4}:{(11,1),(12,1),(50,1),(51,1)}
        28:{1,2,3,7}:{(11,1),(52,1),(53,1),(206,1),(227,1)}
        29:{1,3,5}:{(12,1),(16,1),(51,1),(54,1),(57,1)}
        30:{1,3,4,7}:{(12,1),(52,1),(55,1),(56,1),(58,1),(168,1),(206,1)}
        31:{3,4}:{(13,1),(57,1)}
        32:{1,2,4,5}:{(13,1),(15,1),(16,1),(20,1),(51,1),(57,1),(59,1),(68,1),(105,1)}
        33:{1,2,4,7}:{(13,1),(14,1),(58,1),(61,1),(112,1)}
        34:{1,2,3,6}:{(14,1),(61,1),(72,1),(110,1),(119,1)}
        35:{2,4,6}:{(15,1),(17,1),(22,1),(62,1),(175,1)}
        36:{2,4,5,7}:{(15,1),(18,1),(23,1),(62,1),(63,1),(123,1),(170,1),(211,1)}
        37:{1,4,6}:{(16,1),(17,1),(24,1),(54,1),(64,1)}
        38:{1,4,5,7}:{(16,1),(18,1),(55,1),(64,1),(65,1),(115,1),(124,1),(168,1)}
        39:{3,4,7}:{(17,1),(25,1),(62,1),(64,1),(118,1)}
        40:{3,4,6}:{(18,1),(63,1),(65,1),(67,1),(119,1),(175,1)}
        41:{1,3,5}:{(19,1),(20,1),(57,1),(68,1),(120,1)}
        42:{1,3,4,7}:{(19,1),(21,1),(58,1),(70,1),(118,1),(128,1),(166,1)}
        43:{1,2,5,6}:{(20,1),(22,1),(24,1),(59,1),(69,1),(71,1),(72,1),(157,1)}
        44:{1,2,5,7}:{(20,1),(21,1),(23,1),(70,1),(72,1),(209,1),(227,1)}
        45:{2,3,5,7}:{(22,1),(25,1),(62,1),(71,1),(73,1),(118,1),(123,1),(174,1)}
        46:{2,3,6}:{(23,1),(63,1),(72,1),(119,1)}
        47:{1,5,7}:{(24,1),(25,1),(64,1),(74,1)}
        48:{3,6,7}:{(25,1),(26,1),(74,1)}
        49:{2,5,6,7}:{(26,1),(75,1),(123,1),(180,1)}
        50:{2,3,4}:{(27,1),(31,1),(76,1)}
        51:{1,2,5}:{(27,1),(29,1),(76,1),(78,1)}
        52:{1,2,4,7}:{(27,1),(28,1),(30,1),(77,1),(79,1),(80,1)}
        53:{1,2,3,6}:{(28,1),(80,1),(81,1),(188,1),(221,1)}
        54:{1,3,6}:{(29,1),(37,1),(78,1),(82,1),(86,1)}
        55:{1,3,5,7}:{(29,1),(30,1),(38,1),(79,1),(82,1),(83,1),(84,1),(87,1)}
        56:{1,3,4,6}:{(30,1),(80,1),(83,1),(84,1),(88,1),(140,1),(142,1),(188,1)}
        57:{3,5}:{(31,1),(32,1),(86,1)}
        58:{3,4,7}:{(31,1),(33,1),(87,1),(88,1),(140,1),(197,1)}
        59:{1,2,4,6}:{(32,1),(35,1),(37,1),(43,1),(78,1),(86,1),(89,1),(98,1),(132,1)}
        60:{1,2,4,5,7}:{(32,1),(33,1),(36,1),(38,1),(44,1),(79,1),(87,1),(89,1),(90,1),(91,1),(99,1),(133,1),(139,1),(149,1),(150,1),(187,1),(197,1)}
        61:{1,2,4,6}:{(33,1),(34,1),(88,1),(91,1)}
        62:{2,4,7}:{(35,1),(39,1),(45,1),(197,1)}
        63:{2,4,6}:{(36,1),(40,1),(46,1),(93,1)}
        64:{1,4,7}:{(37,1),(39,1),(47,1),(82,1)}
        65:{1,4,6}:{(38,1),(40,1),(83,1),(95,1)}
        66:{3,4,6,7}:{(39,1),(40,1),(48,1),(92,1),(94,1),(96,1),(104,1),(147,1),(156,1),(192,1),(197,1)}
        67:{3,5,6}:{(40,1),(93,1),(95,1),(96,1),(97,1)}
        68:{1,4,5}:{(41,1),(85,1),(98,1),(149,1)}
        69:{1,3,5,6}:{(41,1),(43,1),(86,1),(98,1),(100,1),(101,1),(144,1),(148,1),(155,1)}
        70:{1,3,5,7}:{(41,1),(42,1),(44,1),(87,1),(99,1),(101,1),(189,1),(219,1)}
        71:{1,2,5,7}:{(43,1),(45,1),(47,1),(89,1),(100,1),(102,1),(181,1)}
        72:{1,2,6}:{(44,1),(46,1),(101,1)}
        73:{2,3,6,7}:{(45,1),(46,1),(48,1),(92,1),(102,1),(147,1),(220,1)}
        74:{1,6,7}:{(47,1),(48,1)}
        75:{3,5,6,7}:{(48,1),(49,1),(96,1),(103,1),(104,1),(156,1)}
        76:{2,3,5}:{(50,1),(51,1),(57,1),(105,1),(106,1)}
        77:{2,3,4,7}:{(50,1),(52,1),(58,1),(107,1),(108,1),(203,1),(206,1)}
        78:{1,2,6}:{(51,1),(54,1),(106,1),(109,1)}
        79:{1,2,5,7}:{(51,1),(52,1),(55,1),(107,1),(109,1),(110,1),(111,1)}
        80:{1,2,4,6}:{(52,1),(53,1),(56,1),(108,1),(110,1),(111,1),(112,1)}
        81:{1,2,3,5}:{(53,1),(111,1),(112,1),(165,1),(209,1),(210,1)}
        82:{1,3,7}:{(54,1),(64,1),(109,1),(118,1)}
        83:{1,3,6}:{(55,1),(65,1),(110,1),(119,1)}
        84:{1,3,5}:{(56,1),(111,1),(115,1),(120,1),(165,1)}
        85:{3,4,5}:{(57,1),(68,1),(105,1),(116,1)}
        86:{3,6}:{(57,1),(59,1),(118,1)}
        87:{3,5,7}:{(57,1),(58,1),(60,1),(118,1),(119,1),(120,1),(165,1),(206,1)}
        88:{3,4,6}:{(58,1),(61,1),(119,1),(120,1),(175,1)}
        89:{1,2,4,7}:{(59,1),(62,1),(64,1),(71,1),(109,1),(118,1),(128,1),(158,1)}
        90:{1,2,4,6}:{(60,1),(63,1),(65,1),(72,1),(110,1),(119,1),(122,1),(129,1),(159,1),(175,1)}
        91:{1,2,5}:{(61,1),(120,1)}
        92:{2,4,6,7}:{(62,1),(63,1),(66,1),(73,1),(123,1),(180,1),(211,1)}
        93:{2,5,6}:{(63,1),(67,1),(123,1)}
        94:{1,4,6,7}:{(64,1),(65,1),(66,1),(74,1),(113,1),(124,1),(168,1)}
        95:{1,5,6}:{(65,1),(67,1),(124,1)}
        96:{3,5,7}:{(66,1),(67,1),(123,1),(124,1),(126,1)}
        97:{4,5,6}:{(67,1),(126,1),(175,1)}
        98:{1,4,6}:{(68,1),(69,1),(116,1),(128,1),(175,1)}
        99:{1,4,5,7}:{(68,1),(70,1),(117,1),(128,1),(129,1),(179,1),(205,1),(226,1)}
       100:{1,3,5,7}:{(69,1),(71,1),(118,1),(128,1),(130,1),(171,1),(174,1),(179,1)}
       101:{1,3,6}:{(70,1),(72,1),(119,1),(129,1)}
       102:{1,2,6,7}:{(71,1),(72,1),(73,1),(74,1),(130,1),(200,1),(227,1)}
       103:{1,5,6,7}:{(74,1),(75,1),(124,1),(131,1)}
       104:{4,6,7}:{(75,1),(126,1)}
       105:{2,4,5}:{(76,1),(85,1),(132,1)}
       106:{2,3,6}:{(76,1),(78,1),(86,1),(132,1),(134,1)}
       107:{2,3,5,7}:{(76,1),(77,1),(79,1),(87,1),(133,1),(134,1),(135,1),(136,1)}
       108:{2,3,4,6}:{(77,1),(80,1),(88,1),(135,1),(136,1),(140,1),(185,1),(188,1)}
       109:{1,2,7}:{(78,1),(82,1),(134,1)}
       110:{1,2,6}:{(79,1),(83,1),(135,1)}
       111:{1,2,5}:{(80,1),(84,1),(136,1)}
       112:{1,2,4}:{(81,1),(140,1)}
       113:{1,3,6,7}:{(82,1),(83,1),(94,1),(137,1),(141,1),(147,1),(156,1)}
       114:{1,3,5,6}:{(83,1),(84,1),(95,1),(138,1),(141,1),(142,1),(148,1),(152,1),(188,1)}
       115:{1,4,5}:{(84,1),(142,1),(143,1),(149,1)}
       116:{3,4,6}:{(85,1),(86,1),(98,1),(132,1),(144,1),(145,1)}
       117:{3,4,5,7}:{(85,1),(87,1),(99,1),(133,1),(145,1),(146,1),(149,1),(186,1),(195,1),(197,1),(217,1)}
       118:{3,7}:{(86,1),(89,1)}
       119:{3,6}:{(87,1),(90,1)}
       120:{3,5}:{(88,1),(91,1),(149,1)}
       121:{1,2,4,6,7}:{(89,1),(90,1),(92,1),(94,1),(102,1),(137,1),(147,1),(150,1),(154,1),(182,1),(187,1),(197,1)}
       122:{1,2,5,6}:{(90,1),(91,1),(93,1),(95,1),(148,1),(150,1),(155,1),(183,1)}
       123:{2,5,7}:{(92,1),(93,1),(96,1)}
       124:{1,5,7}:{(94,1),(95,1),(96,1)}
       125:{1,4,5,6}:{(95,1),(97,1),(142,1),(151,1),(152,1)}
       126:{4,5,7}:{(96,1),(97,1),(104,1),(197,1)}
       127:{1,4,5,6}:{(98,1),(144,1),(153,1),(155,1),(196,1)}
       128:{1,4,7}:{(98,1),(100,1),(145,1),(197,1)}
       129:{1,4,6}:{(99,1),(101,1),(146,1),(155,1)}
       130:{1,3,6,7}:{(100,1),(101,1),(102,1),(147,1),(154,1),(194,1),(219,1)}
       131:{1,4,6,7}:{(103,1),(104,1),(151,1),(156,1)}
       132:{2,4,6}:{(105,1),(106,1),(116,1),(157,1),(158,1)}
       133:{2,4,5,7}:{(105,1),(107,1),(117,1),(158,1),(159,1),(162,1),(201,1),(203,1)}
       134:{2,3,7}:{(106,1),(109,1),(118,1),(158,1)}
       135:{2,3,6}:{(107,1),(110,1),(119,1),(159,1)}
       136:{2,3,5}:{(108,1),(111,1),(120,1),(162,1),(165,1)}
       137:{1,2,6,7}:{(109,1),(110,1),(113,1),(160,1),(163,1),(180,1),(230,1)}
       138:{1,2,5,6}:{(110,1),(111,1),(114,1),(161,1),(163,1),(164,1),(177,1),(225,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(115,1),(162,1),(164,1),(165,1),(170,1),(205,1),(209,1)}
       140:{3,4}:{(112,1),(165,1)}
       141:{1,3,5,7}:{(113,1),(114,1),(124,1),(163,1),(168,1),(174,1),(176,1),(206,1)}
       142:{1,4,6}:{(114,1),(115,1),(168,1),(169,1),(175,1)}
       143:{3,4,5}:{(115,1),(165,1),(169,1),(170,1)}
       144:{3,5,6}:{(116,1),(127,1),(157,1),(171,1)}
       145:{3,4,7}:{(116,1),(118,1),(128,1),(158,1),(171,1)}
       146:{3,4,6}:{(117,1),(119,1),(129,1),(159,1),(173,1),(175,1)}
       147:{3,6,7}:{(118,1),(119,1),(121,1),(174,1),(206,1)}
       148:{3,5,6}:{(119,1),(120,1),(122,1),(174,1),(175,1)}
       149:{4,5}:{(120,1),(175,1)}
       150:{1,2,5,7}:{(121,1),(122,1),(123,1),(124,1),(174,1),(179,1),(201,1)}
       151:{1,4,5,7}:{(124,1),(125,1),(126,1),(131,1),(168,1),(176,1)}
       152:{3,5,6}:{(125,1),(169,1),(176,1),(177,1)}
       153:{1,4,5,7}:{(127,1),(128,1),(171,1),(178,1),(179,1),(213,1)}
       154:{1,4,6,7}:{(128,1),(129,1),(130,1),(172,1),(179,1),(226,1),(230,1)}
       155:{1,5,6}:{(129,1),(173,1),(179,1)}
       156:{3,6,7}:{(131,1),(176,1),(180,1)}
       157:{2,5,6}:{(132,1),(144,1),(181,1)}
       158:{2,4,7}:{(132,1),(134,1),(145,1),(181,1)}
       159:{2,4,6}:{(133,1),(135,1),(146,1),(183,1)}
       160:{2,3,6,7}:{(134,1),(135,1),(137,1),(147,1),(182,1),(184,1),(228,1)}
       161:{2,3,5,6}:{(135,1),(136,1),(138,1),(148,1),(183,1),(184,1),(185,1),(188,1),(216,1)}
       162:{2,4,5}:{(136,1),(149,1),(185,1),(186,1)}
       163:{1,2,5,7}:{(137,1),(138,1),(141,1),(184,1),(187,1),(198,1),(229,1)}
       164:{1,2,4,6}:{(138,1),(139,1),(142,1),(185,1),(187,1),(188,1),(193,1),(218,1),(221,1)}
       165:{3,5}:{(139,1),(140,1),(188,1)}
       166:{1,3,4}:{(140,1),(189,1),(191,1)}
       167:{2,3,4}:{(140,1),(190,1),(191,1)}
       168:{1,4,7}:{(141,1),(142,1),(192,1),(197,1)}
       169:{3,4,6}:{(142,1),(143,1),(152,1),(188,1),(192,1),(193,1)}
       170:{2,4,5}:{(143,1),(190,1),(193,1)}
       171:{3,5,7}:{(144,1),(145,1),(153,1),(181,1),(194,1)}
       172:{3,4,6,7}:{(145,1),(146,1),(147,1),(154,1),(182,1),(194,1),(195,1),(197,1),(217,1),(222,1),(228,1)}
       173:{3,5,6}:{(146,1),(155,1),(183,1),(195,1),(196,1)}
       174:{3,5,7}:{(147,1),(148,1),(150,1),(197,1)}
       175:{4,6}:{(148,1),(149,1),(197,1)}
       176:{3,5,7}:{(151,1),(152,1),(156,1),(192,1),(198,1)}
       177:{2,5,6}:{(152,1),(193,1),(198,1)}
       178:{1,4,6,7}:{(153,1),(194,1),(199,1),(222,1)}
       179:{1,5,7}:{(154,1),(155,1),(195,1)}
       180:{2,6,7}:{(156,1),(198,1)}
       181:{2,5,7}:{(157,1),(158,1),(171,1),(200,1)}
       182:{2,4,6,7}:{(158,1),(159,1),(160,1),(172,1),(200,1),(201,1),(203,1)}
       183:{2,5,6}:{(159,1),(173,1),(201,1)}
       184:{2,3,5,7}:{(160,1),(161,1),(163,1),(174,1),(201,1),(203,1),(206,1),(224,1)}
       185:{2,4,6}:{(161,1),(162,1),(175,1),(203,1),(204,1)}
       186:{3,4,5}:{(162,1),(165,1),(204,1),(205,1)}
       187:{1,2,4,7}:{(163,1),(164,1),(168,1),(203,1),(206,1),(211,1),(226,1),(227,1)}
       188:{3,6}:{(164,1),(165,1),(206,1)}
       189:{1,3,5}:{(165,1),(166,1),(205,1),(207,1),(209,1)}
       190:{2,3,5}:{(165,1),(167,1),(170,1),(208,1),(209,1)}
       191:{1,2,4}:{(166,1),(167,1),(209,1),(210,1)}
       192:{3,4,7}:{(168,1),(169,1),(176,1),(206,1),(211,1)}
       193:{2,4,6}:{(169,1),(170,1),(177,1),(208,1),(211,1)}
       194:{3,6,7}:{(171,1),(178,1),(200,1)}
       195:{3,5,7}:{(172,1),(173,1),(179,1),(201,1),(213,1)}
       196:{4,5,6}:{(173,1),(175,1),(213,1)}
       197:{4,7}:{(174,1),(175,1)}
       198:{2,5,7}:{(176,1),(177,1),(180,1),(211,1)}
       199:{1,5,6,7}:{(178,1),(179,1),(212,1),(230,1)}
       200:{2,6,7}:{(181,1),(194,1)}
       201:{2,5,7}:{(182,1),(183,1),(195,1)}
       202:{2,4,5,6}:{(183,1),(185,1),(196,1),(215,1),(216,1)}
       203:{2,4,7}:{(184,1),(185,1),(197,1),(217,1)}
       204:{3,4,6}:{(185,1),(186,1),(188,1),(216,1),(217,1),(218,1)}
       205:{1,4,5}:{(186,1),(189,1),(218,1)}
       206:{3,7}:{(187,1),(188,1)}
       207:{1,3,6}:{(188,1),(189,1),(218,1),(219,1),(221,1)}
       208:{2,3,6}:{(188,1),(190,1),(193,1),(220,1),(221,1)}
       209:{1,2,5}:{(189,1),(190,1),(191,1),(221,1)}
       210:{1,2,3}:{(191,1)}
       211:{2,4,7}:{(192,1),(193,1),(198,1),(220,1)}
       212:{3,5,6,7}:{(194,1),(195,1),(199,1),(214,1),(222,1),(228,1)}
       213:{4,5,7}:{(195,1),(196,1),(197,1),(222,1)}
       214:{2,5,6,7}:{(200,1),(201,1),(212,1),(223,1)}
       215:{2,4,5,7}:{(201,1),(202,1),(203,1),(213,1),(223,1),(224,1)}
       216:{3,5,6}:{(202,1),(204,1),(224,1),(225,1)}
       217:{3,4,7}:{(203,1),(204,1),(206,1),(224,1),(226,1)}
       218:{1,4,6}:{(204,1),(205,1),(207,1),(225,1),(226,1)}
       219:{1,3,7}:{(206,1),(207,1),(226,1),(227,1)}
       220:{2,3,7}:{(206,1),(208,1),(211,1),(227,1)}
       221:{1,2,6}:{(207,1),(208,1),(209,1),(227,1)}
       222:{4,6,7}:{(212,1),(213,1)}
       223:{2,4,6,7}:{(214,1),(215,1),(222,1),(228,1)}
       224:{3,5,7}:{(215,1),(216,1),(217,1),(228,1),(229,1)}
       225:{1,5,6}:{(216,1),(218,1),(229,1)}
       226:{1,4,7}:{(217,1),(218,1),(219,1),(229,1)}
       227:{1,2,7}:{(219,1),(220,1),(221,1)}
       228:{3,6,7}:{(223,1),(224,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(226,1),(230,1)}
       230:{1,6,7}:{(228,1),(229,1)}

1357 :   0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(25,1),(29,1),(31,1),(52,1),(58,1),(79,1),(86,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(38,1),(69,1),(96,1),(102,1)}
         2:{1,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(74,1),(101,1)}
         3:{1,3,5,6}:{(2,1),(8,1),(9,1),(27,1),(29,1)}
         4:{2,3,6,7}:{(1,1),(10,1),(29,1),(111,1),(115,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(114,1)}
         6:{1,4,5,7}:{(2,1),(9,1),(12,1),(79,1),(87,1)}
         7:{1,3,5,6,7}:{(3,1),(13,1),(14,1),(35,1),(37,1),(63,1),(123,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(40,1),(74,1)}
         9:{1,4,6}:{(3,1),(6,1),(18,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(125,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(45,1),(47,1),(74,1),(96,1),(103,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(49,1),(81,1),(83,1),(112,1)}
        14:{1,4,6,7}:{(7,1),(9,1),(22,1),(25,1),(79,1),(131,1)}
        15:{1,4,5,6}:{(9,1),(22,1),(27,1)}
        16:{2,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(27,1),(29,1),(30,1)}
        19:{2,4,7}:{(10,1),(28,1),(31,1),(132,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(111,1),(116,1)}
        21:{2,4,5,7}:{(12,1),(30,1),(33,1),(49,1),(80,1),(88,1)}
        22:{1,4,5,7}:{(14,1),(15,1),(35,1),(136,1)}
        23:{2,3,5,6,7}:{(13,1),(16,1),(36,1),(37,1),(64,1),(66,1),(98,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(36,1),(37,1),(38,1),(67,1),(69,1),(96,1),(121,1)}
        25:{3,4,6,7}:{(14,1),(18,1),(35,1),(37,1),(38,1),(62,1),(135,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(39,1),(40,1),(41,1),(65,1),(71,1),(72,1),(73,1),(74,1),(97,1),(103,1),(121,1),(136,1),(139,1)}
        27:{3,5,6}:{(15,1),(18,1),(35,1),(40,1)}
        28:{2,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{2,4,6}:{(18,1),(21,1),(40,1),(44,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(45,1),(126,1)}
        32:{1,3,5,7}:{(20,1),(43,1),(45,1),(47,1),(74,1),(77,1),(105,1)}
        33:{2,3,5,7}:{(20,1),(21,1),(44,1),(46,1),(47,1),(75,1)}
        34:{1,2,4,5,7}:{(22,1),(24,1),(26,1),(48,1),(49,1),(50,1),(79,1),(80,1),(81,1),(83,1)}
        35:{3,5,7}:{(22,1),(25,1),(27,1),(49,1),(138,1)}
        36:{2,4,6,7}:{(23,1),(28,1),(50,1),(51,1),(80,1),(109,1)}
        37:{3,6,7}:{(24,1),(29,1),(48,1),(111,1),(129,1)}
        38:{2,4,6,7}:{(25,1),(30,1),(49,1),(53,1),(80,1),(137,1)}
        39:{3,5,6}:{(26,1),(29,1),(48,1),(54,1),(57,1),(116,1),(129,1),(138,1)}
        40:{2,5,6}:{(27,1),(30,1),(49,1)}
        41:{2,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(58,1)}
        43:{1,3,6}:{(29,1),(32,1),(58,1),(60,1)}
        44:{2,3,6}:{(29,1),(30,1),(33,1),(60,1)}
        45:{1,4,7}:{(31,1),(32,1),(58,1),(117,1)}
        46:{2,3,4,7}:{(31,1),(33,1),(59,1),(61,1),(80,1),(111,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(37,1),(39,1),(62,1)}
        49:{2,5,7}:{(35,1),(38,1),(40,1),(139,1)}
        50:{2,4,5,7}:{(36,1),(41,1),(65,1),(66,1)}
        51:{3,4,6,7}:{(36,1),(37,1),(42,1),(62,1),(66,1),(67,1),(93,1)}
        52:{1,3,6,7}:{(37,1),(43,1),(63,1),(67,1),(69,1),(118,1)}
        53:{2,3,6,7}:{(37,1),(38,1),(44,1),(64,1),(69,1),(133,1)}
        54:{3,4,6}:{(39,1),(62,1),(70,1),(71,1),(72,1),(104,1),(126,1)}
        55:{1,3,5,6}:{(39,1),(43,1),(63,1),(71,1),(73,1),(74,1),(97,1),(101,1),(104,1),(105,1),(118,1)}
        56:{2,3,5,6}:{(39,1),(40,1),(44,1),(64,1),(72,1),(73,1),(75,1),(104,1),(125,1),(133,1),(139,1)}
        57:{3,5}:{(41,1),(42,1),(74,1)}
        58:{1,4,6}:{(42,1),(43,1),(45,1),(74,1)}
        59:{2,3,4,6}:{(42,1),(44,1),(46,1),(72,1),(75,1),(76,1),(104,1),(126,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(54,1),(79,1),(80,1),(111,1)}
        63:{1,3,5,7}:{(48,1),(52,1),(55,1),(79,1),(81,1),(83,1),(111,1)}
        64:{2,3,5,7}:{(48,1),(49,1),(53,1),(56,1),(80,1),(81,1),(111,1)}
        65:{2,4,5,6}:{(50,1),(82,1),(109,1)}
        66:{3,5,7}:{(50,1),(51,1),(57,1),(82,1),(83,1)}
        67:{1,4,6,7}:{(51,1),(52,1),(58,1),(79,1),(83,1),(108,1)}
        68:{2,3,4,6,7}:{(51,1),(53,1),(59,1),(80,1),(84,1),(85,1),(109,1),(111,1),(129,1),(130,1),(137,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(60,1),(81,1),(127,1)}
        70:{3,4,5}:{(54,1),(57,1),(87,1),(88,1),(116,1),(138,1)}
        71:{1,4,6}:{(54,1),(55,1),(79,1),(87,1),(117,1)}
        72:{2,4,6}:{(54,1),(56,1),(80,1),(88,1),(132,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(60,1),(81,1),(89,1),(90,1),(114,1),(127,1)}
        74:{1,5}:{(57,1),(58,1)}
        75:{2,3,5}:{(57,1),(59,1),(88,1),(90,1),(116,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{1,3,7}:{(61,1),(91,1),(111,1)}
        78:{3,4,5,7}:{(62,1),(66,1),(70,1),(93,1),(94,1),(95,1),(122,1)}
        79:{1,4,7}:{(62,1),(63,1),(71,1)}
        80:{2,4,7}:{(62,1),(64,1),(72,1)}
        81:{1,2,5,7}:{(63,1),(64,1),(69,1),(73,1),(96,1)}
        82:{3,5,6}:{(65,1),(66,1),(93,1),(97,1)}
        83:{1,5,7}:{(66,1),(67,1),(74,1),(97,1)}
        84:{2,3,5,7}:{(66,1),(68,1),(75,1),(95,1),(98,1),(99,1),(122,1),(139,1)}
        85:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(96,1),(99,1),(100,1),(121,1),(124,1)}
        86:{1,3,4,6}:{(71,1),(92,1),(101,1),(102,1),(104,1),(118,1),(126,1),(135,1)}
        87:{1,4,5}:{(70,1),(71,1),(74,1),(101,1)}
        88:{2,4,5}:{(70,1),(72,1),(75,1),(139,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(73,1),(96,1),(103,1),(104,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{1,3,6}:{(76,1),(77,1),(104,1),(105,1)}
        92:{1,3,4,7}:{(79,1),(86,1),(106,1),(107,1),(111,1),(130,1)}
        93:{3,4,6}:{(78,1),(82,1),(108,1),(109,1),(129,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(106,1),(108,1)}
        95:{2,4,5,7}:{(78,1),(80,1),(84,1),(88,1),(109,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(89,1),(111,1)}
        97:{1,5,6}:{(82,1),(83,1),(108,1)}
        98:{2,3,5,6}:{(82,1),(84,1),(109,1),(112,1),(129,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(85,1),(90,1),(112,1),(113,1)}
       100:{1,3,6,7}:{(85,1),(91,1),(111,1),(113,1),(129,1)}
       101:{1,3,5}:{(86,1),(87,1),(114,1),(116,1),(138,1)}
       102:{1,2,4,6}:{(86,1),(107,1),(114,1),(115,1),(127,1),(132,1),(137,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(89,1),(90,1),(114,1),(116,1),(117,1),(132,1)}
       104:{3,6}:{(89,1),(111,1),(116,1)}
       105:{1,3,5}:{(90,1),(91,1),(116,1),(117,1)}
       106:{1,3,5,7}:{(92,1),(94,1),(101,1),(118,1),(119,1),(122,1)}
       107:{1,2,4,7}:{(92,1),(102,1),(119,1),(120,1),(134,1)}
       108:{1,4,6}:{(93,1),(94,1),(97,1),(118,1)}
       109:{2,4,6}:{(93,1),(95,1),(98,1)}
       110:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(103,1),(119,1),(121,1),(122,1),(124,1),(134,1),(136,1),(139,1)}
       111:{3,7}:{(96,1),(104,1)}
       112:{1,2,5,6}:{(97,1),(98,1),(99,1),(121,1),(123,1),(139,1)}
       113:{1,3,5,7}:{(99,1),(100,1),(105,1),(122,1),(123,1),(124,1)}
       114:{1,2,5}:{(101,1),(102,1),(125,1),(139,1)}
       115:{2,3,6}:{(102,1),(104,1),(120,1),(125,1)}
       116:{3,5}:{(103,1),(104,1),(126,1)}
       117:{1,4}:{(105,1),(126,1)}
       118:{1,3,6}:{(106,1),(108,1),(127,1),(129,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(114,1),(127,1),(128,1)}
       120:{2,3,7}:{(107,1),(111,1),(115,1)}
       121:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1),(131,1),(137,1)}
       122:{3,5,7}:{(110,1),(111,1),(116,1),(129,1),(130,1),(138,1)}
       123:{1,3,5,6}:{(112,1),(113,1),(129,1),(131,1),(138,1)}
       124:{1,4,7}:{(113,1),(117,1),(130,1),(131,1)}
       125:{2,3,5}:{(114,1),(115,1),(116,1),(132,1)}
       126:{3,4}:{(116,1),(117,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{2,3,5,7}:{(119,1),(120,1),(122,1),(125,1),(133,1),(134,1),(139,1)}
       129:{3,6}:{(121,1),(122,1)}
       130:{3,4,7}:{(122,1),(124,1),(126,1),(134,1),(135,1)}
       131:{1,4,6}:{(123,1),(124,1),(135,1),(136,1)}
       132:{2,4}:{(125,1),(126,1)}
       133:{2,3,6}:{(127,1),(128,1),(129,1),(137,1)}
       134:{2,4,7}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,4,6}:{(129,1),(130,1),(131,1),(137,1),(138,1)}
       136:{1,4,5}:{(131,1),(138,1)}
       137:{2,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1358 :   0:{1,2,3,6,7}:{(2,1),(3,1),(37,1),(71,1),(72,1),(76,1),(80,1),(104,1)}
         1:{1,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(37,1),(41,1),(45,1),(71,1),(95,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(6,1),(8,1),(22,1),(61,1),(64,1),(83,1),(88,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(23,1),(57,1),(62,1),(86,1),(87,1),(93,1)}
         4:{1,3,5,7}:{(1,1),(6,1),(9,1),(10,1),(23,1),(59,1),(63,1)}
         5:{2,3,4,6,7}:{(2,1),(11,1),(15,1),(33,1),(37,1),(42,1),(67,1),(72,1),(96,1),(104,1)}
         6:{1,2,5,7}:{(2,1),(4,1),(11,1),(12,1),(79,1),(81,1),(94,1)}
         7:{1,2,3,5,6}:{(3,1),(12,1),(14,1),(37,1),(40,1),(74,1),(75,1),(76,1),(79,1),(80,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(95,1),(96,1),(100,1)}
         9:{1,3,5,6}:{(4,1),(12,1),(17,1),(37,1),(46,1)}
        10:{1,4,5,7}:{(4,1),(17,1),(18,1),(77,1),(95,1)}
        11:{2,3,5,7}:{(5,1),(6,1),(19,1),(20,1),(23,1),(60,1),(82,1)}
        12:{1,2,5,6}:{(6,1),(9,1),(19,1),(22,1),(65,1),(84,1)}
        13:{1,2,4,5,7}:{(6,1),(8,1),(10,1),(20,1),(22,1),(23,1),(24,1),(31,1),(51,1),(57,1),(92,1),(101,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(89,1),(90,1)}
        15:{3,4,7}:{(8,1),(23,1),(25,1),(103,1)}
        16:{1,3,5,6,7}:{(9,1),(21,1),(28,1),(53,1),(63,1),(86,1)}
        17:{1,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(23,1),(30,1),(31,1),(58,1),(63,1),(85,1)}
        19:{2,3,5,6}:{(11,1),(12,1),(33,1),(37,1),(68,1)}
        20:{2,4,5,7}:{(11,1),(33,1),(34,1),(78,1),(96,1)}
        21:{1,2,5,6,7}:{(12,1),(16,1),(32,1),(35,1),(81,1),(94,1),(97,1)}
        22:{1,2,4,6}:{(12,1),(13,1),(17,1),(33,1),(37,1),(47,1),(69,1),(76,1)}
        23:{3,5,7}:{(13,1),(15,1),(37,1),(40,1),(99,1),(104,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(77,1),(78,1),(79,1)}
        25:{3,4,6}:{(14,1),(15,1),(37,1),(40,1)}
        26:{1,3,4,7}:{(15,1),(38,1),(41,1),(43,1),(95,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(39,1),(42,1),(43,1),(96,1),(104,1)}
        28:{1,4,6,7}:{(16,1),(17,1),(44,1),(45,1),(95,1)}
        29:{1,4,5,6}:{(17,1),(44,1),(46,1)}
        30:{3,4,6}:{(17,1),(18,1),(37,1),(46,1),(47,1)}
        31:{2,4,5,7}:{(18,1),(39,1),(47,1),(78,1),(81,1),(96,1)}
        32:{2,3,5,6,7}:{(19,1),(21,1),(48,1),(53,1),(82,1),(87,1)}
        33:{2,4,6}:{(19,1),(20,1),(50,1)}
        34:{3,4,5,7}:{(20,1),(23,1),(50,1),(51,1),(58,1),(82,1),(85,1)}
        35:{1,2,4,6,7}:{(21,1),(22,1),(28,1),(48,1),(52,1),(53,1),(64,1),(83,1),(88,1),(101,1)}
        36:{1,2,4,5,6}:{(22,1),(24,1),(29,1),(49,1),(52,1),(54,1),(65,1),(84,1),(89,1),(90,1),(91,1)}
        37:{3,6}:{(22,1),(23,1)}
        38:{1,3,5,7}:{(23,1),(26,1),(51,1),(55,1),(57,1),(59,1)}
        39:{2,3,5,7}:{(23,1),(27,1),(31,1),(56,1),(57,1),(60,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(55,1),(59,1),(61,1),(89,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(27,1),(56,1),(60,1),(61,1),(90,1),(102,1),(103,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(57,1),(61,1),(62,1)}
        44:{1,4,5,7}:{(28,1),(29,1),(63,1)}
        45:{3,4,6,7}:{(28,1),(30,1),(53,1),(63,1),(64,1),(85,1)}
        46:{3,5,6}:{(29,1),(30,1),(63,1),(65,1)}
        47:{2,4,6}:{(30,1),(31,1),(56,1),(65,1)}
        48:{2,4,6,7}:{(32,1),(33,1),(66,1),(67,1),(96,1)}
        49:{2,4,5,6}:{(33,1),(66,1),(68,1)}
        50:{3,4,6}:{(33,1),(34,1),(37,1),(68,1),(69,1)}
        51:{1,4,5,7}:{(34,1),(38,1),(69,1),(77,1),(94,1),(95,1)}
        52:{1,2,4,5,7}:{(35,1),(36,1),(44,1),(66,1),(70,1),(81,1),(94,1),(95,1),(96,1),(97,1)}
        53:{3,6,7}:{(35,1),(37,1),(70,1),(104,1)}
        54:{3,5,6}:{(36,1),(37,1),(40,1),(70,1),(73,1)}
        55:{1,3,6}:{(37,1),(38,1),(69,1),(76,1)}
        56:{2,3,6}:{(37,1),(39,1),(47,1),(76,1)}
        57:{1,2,5,7}:{(38,1),(39,1),(43,1),(76,1),(79,1)}
        58:{3,4,5}:{(40,1),(73,1),(77,1),(78,1),(99,1)}
        59:{1,3,5}:{(40,1),(41,1),(77,1),(79,1),(99,1)}
        60:{2,3,5}:{(40,1),(42,1),(78,1),(79,1),(99,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(43,1),(76,1),(79,1),(80,1),(100,1)}
        62:{1,2,3,7}:{(43,1),(80,1),(104,1)}
        63:{3,5,7}:{(44,1),(45,1),(46,1),(81,1)}
        64:{2,4,6,7}:{(45,1),(47,1),(72,1),(81,1),(96,1)}
        65:{2,5,6}:{(46,1),(47,1),(81,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(82,1)}
        67:{3,4,6,7}:{(48,1),(50,1),(53,1),(82,1),(83,1),(85,1)}
        68:{3,5,6}:{(49,1),(50,1),(82,1),(84,1)}
        69:{1,4,6}:{(50,1),(51,1),(55,1),(84,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{1,3,6,7}:{(53,1),(55,1),(83,1),(86,1),(88,1)}
        72:{2,3,6,7}:{(53,1),(56,1),(64,1),(87,1),(88,1)}
        73:{3,4,6}:{(54,1),(58,1),(85,1),(89,1),(90,1),(102,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(59,1),(84,1),(86,1),(89,1),(91,1),(102,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(60,1),(65,1),(87,1),(90,1),(91,1),(102,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{1,4,5}:{(58,1),(59,1),(89,1)}
        78:{2,4,5}:{(58,1),(60,1),(90,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(62,1),(93,1),(102,1)}
        81:{2,5,7}:{(63,1),(64,1),(65,1)}
        82:{3,5,7}:{(66,1),(67,1),(68,1),(94,1)}
        83:{1,4,6,7}:{(67,1),(69,1),(71,1),(94,1),(95,1)}
        84:{1,5,6}:{(68,1),(69,1),(94,1)}
        85:{3,4,7}:{(70,1),(73,1),(95,1),(96,1),(104,1)}
        86:{1,3,5,7}:{(70,1),(71,1),(74,1),(94,1),(95,1),(97,1),(104,1)}
        87:{2,3,5,7}:{(70,1),(72,1),(75,1),(81,1),(96,1),(97,1),(104,1)}
        88:{1,2,6,7}:{(71,1),(72,1),(76,1),(97,1)}
        89:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        90:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        91:{1,2,5,6}:{(74,1),(75,1),(76,1),(79,1),(97,1),(98,1)}
        92:{1,2,4,5}:{(77,1),(78,1),(79,1),(98,1),(99,1),(100,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(99,1),(100,1)}
        94:{1,5,7}:{(82,1),(83,1),(84,1)}
        95:{1,4,7}:{(85,1),(86,1),(89,1)}
        96:{2,4,7}:{(85,1),(87,1),(90,1)}
        97:{1,2,5,7}:{(86,1),(87,1),(88,1),(91,1),(101,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(92,1),(101,1),(102,1)}
        99:{3,5}:{(92,1),(102,1),(103,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       102:{3,6}:{(98,1),(99,1),(104,1)}
       103:{3,4}:{(99,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1359 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(66,1),(119,1)}
         1:{1,3,4,6}:{(4,1),(5,1),(6,1),(18,1),(26,1),(27,1),(64,1),(66,1)}
         2:{1,2,3,5}:{(0,1),(9,1),(11,1),(34,1),(38,1),(89,1)}
         3:{1,2,3,7}:{(0,1),(10,1),(98,1),(147,1),(186,1)}
         4:{1,2,4,6}:{(0,1),(1,1),(7,1),(9,1),(10,1),(11,1),(42,1)}
         5:{1,3,4,7}:{(1,1),(10,1),(13,1),(37,1),(48,1),(98,1),(188,1)}
         6:{1,3,5}:{(1,1),(11,1),(12,1),(38,1),(96,1)}
         7:{2,3,4,6}:{(4,1),(16,1),(17,1),(18,1),(55,1),(56,1),(64,1),(66,1)}
         8:{1,2,3,5,7}:{(2,1),(3,1),(19,1),(20,1),(22,1),(58,1),(65,1),(67,1),(116,1),(118,1)}
         9:{1,2,4}:{(2,1),(18,1)}
        10:{1,2,4,7}:{(3,1),(4,1),(5,1),(16,1),(22,1),(205,1)}
        11:{1,2,5}:{(4,1),(6,1),(17,1)}
        12:{1,4,5}:{(6,1),(24,1),(26,1),(126,1)}
        13:{1,3,5,7}:{(5,1),(6,1),(22,1),(25,1),(27,1),(65,1),(207,1),(228,1)}
        14:{1,3,5,6}:{(6,1),(23,1),(26,1),(27,1),(28,1),(29,1),(66,1),(75,1),(127,1)}
        15:{1,4,5,6}:{(26,1),(29,1),(30,1),(75,1),(132,1)}
        16:{2,3,4,7}:{(7,1),(10,1),(32,1),(37,1),(85,1),(98,1),(187,1)}
        17:{2,3,5}:{(7,1),(11,1),(31,1),(38,1),(96,1)}
        18:{3,4}:{(9,1),(38,1)}
        19:{1,2,3,6}:{(8,1),(39,1),(42,1),(97,1),(146,1)}
        20:{1,2,4,7}:{(8,1),(9,1),(37,1),(39,1),(144,1)}
        21:{1,2,4,5}:{(9,1),(11,1),(12,1),(31,1),(38,1),(41,1),(44,1),(81,1),(89,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(13,1),(32,1),(42,1),(218,1),(230,1)}
        23:{1,2,5,6}:{(11,1),(14,1),(33,1),(41,1),(42,1),(43,1),(50,1),(136,1)}
        24:{3,4,5}:{(12,1),(38,1),(44,1),(46,1)}
        25:{1,4,5,7}:{(12,1),(13,1),(45,1),(47,1),(48,1),(105,1),(192,1),(222,1)}
        26:{1,4,6}:{(12,1),(14,1),(46,1),(48,1),(154,1)}
        27:{1,3,6}:{(13,1),(42,1),(47,1),(97,1)}
        28:{1,3,5,7}:{(14,1),(43,1),(48,1),(49,1),(51,1),(98,1),(105,1),(155,1)}
        29:{3,5,6}:{(15,1),(46,1),(50,1),(51,1)}
        30:{1,4,5,7}:{(15,1),(48,1),(51,1),(52,1),(105,1),(158,1)}
        31:{2,4,5}:{(17,1),(53,1),(55,1),(126,1)}
        32:{2,3,5,7}:{(16,1),(17,1),(22,1),(54,1),(56,1),(65,1),(206,1),(227,1)}
        33:{2,3,5,6}:{(17,1),(23,1),(55,1),(56,1),(57,1),(66,1),(108,1),(114,1),(127,1)}
        34:{1,2,3}:{(59,1)}
        35:{2,3,4}:{(18,1),(59,1),(61,1)}
        36:{1,3,4}:{(18,1),(59,1),(63,1)}
        37:{3,4,7}:{(18,1),(20,1),(64,1),(65,1),(167,1),(177,1)}
        38:{3,5}:{(18,1),(21,1),(66,1)}
        39:{1,2,4,6}:{(19,1),(20,1),(64,1),(67,1)}
        40:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(25,1),(54,1),(65,1),(67,1),(68,1),(69,1),(71,1),(110,1),(118,1),(126,1),(129,1),(168,1),(177,1),(209,1)}
        41:{1,2,4,6}:{(21,1),(23,1),(26,1),(55,1),(66,1),(69,1),(72,1),(111,1),(119,1)}
        42:{1,2,6}:{(22,1),(27,1),(56,1)}
        43:{1,2,5,7}:{(23,1),(28,1),(57,1),(69,1),(70,1),(77,1),(160,1)}
        44:{2,4,5}:{(24,1),(61,1),(72,1)}
        45:{3,4,5,7}:{(24,1),(25,1),(65,1),(71,1),(73,1),(74,1),(126,1),(133,1),(171,1),(177,1),(211,1)}
        46:{3,4,6}:{(24,1),(26,1),(29,1),(66,1),(72,1),(74,1)}
        47:{1,4,6}:{(25,1),(27,1),(73,1),(75,1)}
        48:{1,4,7}:{(26,1),(28,1),(74,1),(177,1)}
        49:{1,3,6,7}:{(27,1),(28,1),(70,1),(76,1),(78,1),(128,1),(228,1)}
        50:{2,5,6}:{(29,1),(72,1),(77,1)}
        51:{3,5,7}:{(29,1),(30,1),(74,1),(77,1),(78,1)}
        52:{1,4,6,7}:{(30,1),(78,1),(79,1),(135,1)}
        53:{3,4,5}:{(31,1),(38,1),(81,1),(83,1)}
        54:{2,4,5,7}:{(31,1),(32,1),(82,1),(84,1),(85,1),(143,1),(195,1),(223,1)}
        55:{2,4,6}:{(31,1),(33,1),(83,1),(85,1),(154,1)}
        56:{2,3,6}:{(32,1),(42,1),(84,1),(97,1)}
        57:{2,3,5,7}:{(33,1),(43,1),(85,1),(86,1),(98,1),(137,1),(143,1),(155,1)}
        58:{1,2,3,7}:{(34,1),(87,1),(88,1),(221,1),(230,1)}
        59:{1,2,4}:{(34,1),(35,1),(36,1),(89,1)}
        60:{2,3,4,7}:{(35,1),(37,1),(88,1),(90,1),(91,1),(194,1),(221,1)}
        61:{2,3,5}:{(35,1),(38,1),(44,1),(89,1),(92,1)}
        62:{1,3,4,7}:{(36,1),(37,1),(88,1),(93,1),(94,1),(197,1),(221,1)}
        63:{1,3,5}:{(36,1),(38,1),(81,1),(89,1),(95,1)}
        64:{3,4,6}:{(37,1),(39,1),(96,1),(97,1),(154,1)}
        65:{3,5,7}:{(37,1),(38,1),(40,1),(96,1),(97,1),(98,1),(189,1),(221,1)}
        66:{3,6}:{(38,1),(41,1),(98,1)}
        67:{1,2,5}:{(39,1),(96,1)}
        68:{1,2,4,6}:{(40,1),(42,1),(47,1),(84,1),(97,1),(99,1),(101,1),(139,1),(146,1),(154,1)}
        69:{1,2,4,7}:{(41,1),(43,1),(48,1),(85,1),(98,1),(102,1),(140,1),(147,1)}
        70:{1,2,6,7}:{(42,1),(43,1),(49,1),(86,1),(106,1),(181,1),(230,1)}
        71:{2,4,5,7}:{(44,1),(45,1),(91,1),(101,1),(102,1),(148,1),(157,1),(194,1)}
        72:{2,4,6}:{(44,1),(46,1),(50,1),(92,1),(102,1)}
        73:{3,4,6}:{(45,1),(47,1),(97,1),(101,1),(103,1),(154,1)}
        74:{3,4,7}:{(46,1),(48,1),(51,1),(98,1),(102,1)}
        75:{1,5,6}:{(47,1),(103,1),(105,1)}
        76:{1,4,6,7}:{(47,1),(48,1),(49,1),(104,1),(105,1),(200,1),(222,1)}
        77:{2,5,7}:{(50,1),(51,1),(102,1),(106,1)}
        78:{3,6,7}:{(51,1),(52,1),(106,1)}
        79:{1,5,6,7}:{(52,1),(105,1),(107,1),(200,1)}
        80:{2,4,5,6}:{(55,1),(108,1),(109,1),(114,1),(165,1)}
        81:{1,4,5}:{(53,1),(63,1),(111,1)}
        82:{3,4,5,7}:{(53,1),(54,1),(65,1),(110,1),(112,1),(113,1),(126,1),(166,1),(174,1),(177,1),(213,1)}
        83:{3,4,6}:{(53,1),(55,1),(66,1),(108,1),(111,1),(113,1)}
        84:{2,4,6}:{(54,1),(56,1),(112,1),(114,1)}
        85:{2,4,7}:{(55,1),(57,1),(113,1),(177,1)}
        86:{2,3,6,7}:{(56,1),(57,1),(70,1),(115,1),(128,1),(161,1),(227,1)}
        87:{1,2,3,6}:{(58,1),(116,1),(117,1),(208,1),(226,1)}
        88:{1,2,4,7}:{(58,1),(59,1),(60,1),(62,1),(117,1),(118,1)}
        89:{1,2,5}:{(59,1),(61,1),(63,1),(119,1)}
        90:{2,3,4,6}:{(60,1),(64,1),(117,1),(120,1),(121,1),(167,1),(172,1),(208,1)}
        91:{2,3,5,7}:{(60,1),(61,1),(65,1),(71,1),(118,1),(120,1),(121,1),(122,1)}
        92:{2,3,6}:{(61,1),(66,1),(72,1),(119,1),(122,1)}
        93:{1,3,4,6}:{(62,1),(64,1),(117,1),(123,1),(124,1),(167,1),(175,1),(208,1)}
        94:{1,3,5,7}:{(62,1),(63,1),(65,1),(110,1),(118,1),(123,1),(124,1),(125,1)}
        95:{1,3,6}:{(63,1),(66,1),(111,1),(119,1),(125,1)}
        96:{3,5}:{(64,1),(67,1),(126,1)}
        97:{3,6}:{(65,1),(68,1)}
        98:{3,7}:{(66,1),(69,1)}
        99:{1,2,5,6}:{(67,1),(68,1),(75,1),(114,1),(127,1),(129,1),(130,1),(163,1)}
       100:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(76,1),(115,1),(128,1),(129,1),(131,1),(164,1),(170,1),(177,1),(209,1)}
       101:{2,4,6}:{(71,1),(73,1),(121,1),(130,1)}
       102:{2,4,7}:{(72,1),(74,1),(77,1),(122,1)}
       103:{3,5,6}:{(73,1),(75,1),(130,1),(132,1),(133,1)}
       104:{3,4,6,7}:{(73,1),(74,1),(76,1),(78,1),(128,1),(131,1),(133,1),(135,1),(177,1),(180,1),(211,1)}
       105:{1,5,7}:{(75,1),(76,1),(133,1)}
       106:{2,6,7}:{(77,1),(78,1)}
       107:{3,5,6,7}:{(78,1),(79,1),(133,1),(134,1),(135,1),(180,1)}
       108:{3,5,6}:{(80,1),(83,1),(136,1),(137,1)}
       109:{2,4,5,7}:{(80,1),(85,1),(137,1),(138,1),(143,1),(185,1)}
       110:{1,4,5,7}:{(81,1),(82,1),(94,1),(139,1),(140,1),(151,1),(184,1),(197,1)}
       111:{1,4,6}:{(81,1),(83,1),(95,1),(136,1),(140,1)}
       112:{3,4,6}:{(82,1),(84,1),(97,1),(139,1),(141,1),(154,1)}
       113:{3,4,7}:{(83,1),(85,1),(98,1),(137,1),(140,1)}
       114:{2,5,6}:{(84,1),(141,1),(143,1)}
       115:{2,4,6,7}:{(84,1),(85,1),(86,1),(142,1),(143,1),(223,1),(229,1)}
       116:{1,2,3,5}:{(87,1),(144,1),(145,1),(186,1),(189,1),(218,1)}
       117:{1,2,4,6}:{(87,1),(88,1),(90,1),(93,1),(144,1),(145,1),(146,1)}
       118:{1,2,5,7}:{(88,1),(89,1),(91,1),(94,1),(145,1),(146,1),(147,1)}
       119:{1,2,6}:{(89,1),(92,1),(95,1),(147,1)}
       120:{2,3,5}:{(90,1),(96,1),(145,1),(148,1),(189,1)}
       121:{2,3,6}:{(91,1),(97,1),(101,1),(146,1)}
       122:{2,3,7}:{(92,1),(98,1),(102,1),(147,1)}
       123:{1,3,5}:{(93,1),(96,1),(145,1),(151,1),(189,1)}
       124:{1,3,6}:{(94,1),(97,1),(139,1),(146,1)}
       125:{1,3,7}:{(95,1),(98,1),(140,1),(147,1)}
       126:{4,5}:{(96,1),(154,1)}
       127:{3,5,6}:{(96,1),(97,1),(99,1),(154,1),(155,1)}
       128:{3,6,7}:{(97,1),(98,1),(100,1),(155,1),(221,1)}
       129:{1,2,5,7}:{(99,1),(100,1),(105,1),(143,1),(155,1),(157,1),(184,1)}
       130:{2,5,6}:{(101,1),(103,1),(157,1)}
       131:{2,4,6,7}:{(101,1),(102,1),(104,1),(106,1),(150,1),(157,1),(194,1)}
       132:{4,5,6}:{(103,1),(154,1),(158,1)}
       133:{3,5,7}:{(103,1),(104,1),(105,1),(157,1),(158,1)}
       134:{2,5,6,7}:{(106,1),(107,1),(157,1),(159,1)}
       135:{4,6,7}:{(107,1),(158,1)}
       136:{1,5,6}:{(108,1),(111,1),(160,1)}
       137:{3,5,7}:{(108,1),(109,1),(113,1),(160,1),(161,1)}
       138:{2,4,6,7}:{(109,1),(161,1),(162,1),(202,1)}
       139:{1,4,6}:{(110,1),(112,1),(124,1),(163,1)}
       140:{1,4,7}:{(111,1),(113,1),(125,1),(160,1)}
       141:{3,5,6}:{(112,1),(114,1),(163,1),(165,1),(166,1)}
       142:{3,4,6,7}:{(112,1),(113,1),(115,1),(128,1),(161,1),(164,1),(166,1),(177,1),(202,1),(213,1),(224,1)}
       143:{2,5,7}:{(114,1),(115,1),(166,1)}
       144:{1,2,4}:{(116,1),(167,1)}
       145:{1,2,5}:{(117,1),(120,1),(123,1)}
       146:{1,2,6}:{(118,1),(121,1),(124,1)}
       147:{1,2,7}:{(119,1),(122,1),(125,1)}
       148:{2,4,5}:{(120,1),(126,1),(171,1),(172,1)}
       149:{2,3,5,6}:{(120,1),(121,1),(127,1),(130,1),(169,1),(172,1),(173,1),(178,1),(208,1)}
       150:{2,3,6,7}:{(121,1),(122,1),(128,1),(131,1),(170,1),(173,1),(180,1)}
       151:{1,4,5}:{(123,1),(126,1),(174,1),(175,1)}
       152:{1,3,5,6}:{(123,1),(124,1),(127,1),(163,1),(169,1),(175,1),(176,1),(203,1),(208,1)}
       153:{1,3,6,7}:{(124,1),(125,1),(128,1),(164,1),(170,1),(176,1),(224,1)}
       154:{4,6}:{(126,1),(127,1),(177,1)}
       155:{3,5,7}:{(127,1),(128,1),(129,1),(177,1)}
       156:{2,4,5,6}:{(130,1),(132,1),(172,1),(178,1),(179,1)}
       157:{2,5,7}:{(130,1),(131,1),(133,1)}
       158:{4,5,7}:{(132,1),(133,1),(135,1),(177,1)}
       159:{2,4,6,7}:{(134,1),(135,1),(179,1),(180,1)}
       160:{1,5,7}:{(136,1),(137,1),(140,1),(181,1)}
       161:{3,6,7}:{(137,1),(138,1),(181,1)}
       162:{2,5,6,7}:{(138,1),(143,1),(182,1),(229,1)}
       163:{1,5,6}:{(139,1),(141,1),(184,1)}
       164:{1,4,6,7}:{(139,1),(140,1),(142,1),(153,1),(181,1),(184,1),(197,1)}
       165:{4,5,6}:{(141,1),(154,1),(185,1)}
       166:{3,5,7}:{(141,1),(142,1),(143,1),(184,1),(185,1)}
       167:{3,4}:{(144,1),(189,1)}
       168:{1,2,4,5}:{(144,1),(145,1),(148,1),(151,1),(189,1),(190,1),(192,1),(195,1),(218,1)}
       169:{1,2,5,6}:{(145,1),(146,1),(149,1),(152,1),(190,1),(191,1),(198,1),(216,1)}
       170:{1,2,6,7}:{(146,1),(147,1),(150,1),(153,1),(191,1),(200,1),(229,1)}
       171:{3,4,5}:{(148,1),(189,1),(192,1),(193,1)}
       172:{2,4,6}:{(148,1),(149,1),(154,1),(193,1),(194,1)}
       173:{2,3,5,7}:{(149,1),(150,1),(155,1),(157,1),(191,1),(194,1),(199,1),(221,1)}
       174:{3,4,5}:{(151,1),(189,1),(195,1),(196,1)}
       175:{1,4,6}:{(151,1),(152,1),(154,1),(196,1),(197,1)}
       176:{1,3,5,7}:{(152,1),(153,1),(155,1),(184,1),(191,1),(197,1),(217,1),(221,1)}
       177:{4,7}:{(154,1),(155,1)}
       178:{3,5,6}:{(156,1),(193,1),(198,1),(199,1)}
       179:{2,4,5,7}:{(156,1),(157,1),(158,1),(159,1),(194,1),(199,1)}
       180:{3,6,7}:{(159,1),(199,1),(200,1)}
       181:{1,6,7}:{(160,1),(161,1)}
       182:{3,5,6,7}:{(161,1),(162,1),(166,1),(201,1),(202,1),(224,1)}
       183:{1,4,5,6}:{(163,1),(165,1),(175,1),(203,1),(204,1)}
       184:{1,5,7}:{(163,1),(164,1),(166,1)}
       185:{4,5,7}:{(165,1),(166,1),(177,1),(202,1)}
       186:{1,2,3}:{(205,1)}
       187:{2,3,4}:{(167,1),(205,1),(206,1)}
       188:{1,3,4}:{(167,1),(205,1),(207,1)}
       189:{3,5}:{(167,1),(168,1),(208,1)}
       190:{1,2,4,6}:{(168,1),(169,1),(172,1),(175,1),(208,1),(209,1),(210,1),(212,1),(226,1)}
       191:{1,2,5,7}:{(169,1),(170,1),(173,1),(176,1),(209,1),(214,1),(225,1)}
       192:{1,4,5}:{(171,1),(207,1),(210,1)}
       193:{3,4,6}:{(171,1),(172,1),(178,1),(208,1),(210,1),(211,1)}
       194:{2,4,7}:{(172,1),(173,1),(177,1),(211,1)}
       195:{2,4,5}:{(174,1),(206,1),(212,1)}
       196:{3,4,6}:{(174,1),(175,1),(203,1),(208,1),(212,1),(213,1)}
       197:{1,4,7}:{(175,1),(176,1),(177,1),(213,1)}
       198:{1,5,6}:{(178,1),(210,1),(214,1)}
       199:{3,5,7}:{(178,1),(179,1),(180,1),(211,1),(214,1)}
       200:{1,6,7}:{(180,1),(214,1)}
       201:{1,5,6,7}:{(181,1),(182,1),(184,1),(215,1)}
       202:{4,6,7}:{(182,1),(185,1)}
       203:{3,5,6}:{(183,1),(196,1),(216,1),(217,1)}
       204:{1,4,5,7}:{(183,1),(184,1),(185,1),(197,1),(215,1),(217,1)}
       205:{1,2,4}:{(186,1),(187,1),(188,1),(218,1)}
       206:{2,3,5}:{(187,1),(189,1),(195,1),(218,1),(219,1)}
       207:{1,3,5}:{(188,1),(189,1),(192,1),(218,1),(220,1)}
       208:{3,6}:{(189,1),(190,1),(221,1)}
       209:{1,2,4,7}:{(190,1),(191,1),(194,1),(197,1),(221,1),(222,1),(223,1),(230,1)}
       210:{1,4,6}:{(192,1),(193,1),(198,1),(220,1),(222,1)}
       211:{3,4,7}:{(193,1),(194,1),(199,1),(221,1),(222,1)}
       212:{2,4,6}:{(195,1),(196,1),(216,1),(219,1),(223,1)}
       213:{3,4,7}:{(196,1),(197,1),(217,1),(221,1),(223,1)}
       214:{1,5,7}:{(198,1),(199,1),(200,1),(222,1)}
       215:{1,4,6,7}:{(201,1),(202,1),(204,1),(224,1)}
       216:{2,5,6}:{(203,1),(212,1),(225,1)}
       217:{3,5,7}:{(203,1),(204,1),(213,1),(224,1),(225,1)}
       218:{1,2,5}:{(205,1),(206,1),(207,1),(226,1)}
       219:{2,3,6}:{(206,1),(208,1),(212,1),(226,1),(227,1)}
       220:{1,3,6}:{(207,1),(208,1),(210,1),(226,1),(228,1)}
       221:{3,7}:{(208,1),(209,1)}
       222:{1,4,7}:{(210,1),(211,1),(214,1),(228,1)}
       223:{2,4,7}:{(212,1),(213,1),(225,1),(227,1)}
       224:{3,6,7}:{(215,1),(217,1),(229,1)}
       225:{2,5,7}:{(216,1),(217,1),(223,1),(229,1)}
       226:{1,2,6}:{(218,1),(219,1),(220,1),(230,1)}
       227:{2,3,7}:{(219,1),(221,1),(223,1),(230,1)}
       228:{1,3,7}:{(220,1),(221,1),(222,1),(230,1)}
       229:{2,6,7}:{(224,1),(225,1)}
       230:{1,2,7}:{(226,1),(227,1),(228,1)}

1360 :   0:{2,3,4,5,7}:{(4,1),(5,1),(7,1),(51,1),(65,1),(97,1),(104,1),(109,1),(112,1),(117,1)}
         1:{2,3,4,6,7}:{(5,1),(6,1),(7,1),(9,1),(32,1),(65,1),(70,1)}
         2:{2,3,5,6,7}:{(7,1),(8,1),(9,1),(10,1),(32,1),(108,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(158,1)}
         4:{1,2,4,5,7}:{(0,1),(11,1),(12,1),(15,1),(34,1),(44,1),(75,1),(79,1)}
         5:{2,3,4,6}:{(0,1),(12,1),(13,1),(80,1),(135,1),(138,1),(143,1)}
         6:{1,2,4,6,7}:{(1,1),(12,1),(14,1),(15,1),(44,1)}
         7:{2,3,5,7}:{(1,1),(13,1),(15,1),(16,1),(45,1),(95,1)}
         8:{1,2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(20,1),(84,1),(95,1)}
         9:{2,4,6,7}:{(2,1),(16,1),(19,1),(135,1)}
        10:{3,5,6,7}:{(3,1),(19,1),(20,1),(180,1)}
        11:{1,3,5,7}:{(4,1),(22,1),(23,1),(56,1),(112,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(23,1),(24,1),(57,1)}
        13:{2,3,5,6}:{(5,1),(7,1),(24,1),(25,1),(58,1),(97,1),(120,1)}
        14:{1,3,6,7}:{(6,1),(23,1),(28,1),(32,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(24,1),(28,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(25,1),(30,1)}
        17:{1,3,5,6,7}:{(8,1),(28,1),(31,1),(32,1),(63,1),(69,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(29,1),(31,1),(32,1),(33,1),(70,1),(71,1),(111,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(30,1),(32,1),(33,1),(160,1)}
        20:{1,5,6,7}:{(10,1),(33,1),(196,1)}
        21:{1,2,3,5,7}:{(11,1),(34,1),(35,1),(72,1),(75,1)}
        22:{1,3,4,7}:{(11,1),(34,1),(37,1),(44,1),(86,1)}
        23:{1,3,6}:{(11,1),(12,1),(138,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(15,1),(38,1),(75,1)}
        25:{2,4,5,6}:{(13,1),(16,1),(40,1),(123,1),(135,1)}
        26:{1,2,3,6,7}:{(14,1),(35,1),(41,1),(42,1),(50,1),(121,1),(138,1),(183,1),(185,1)}
        27:{1,3,4,6,7}:{(14,1),(37,1),(41,1),(43,1),(44,1),(48,1),(86,1),(88,1),(138,1)}
        28:{1,3,5,7}:{(14,1),(15,1),(38,1),(44,1),(45,1)}
        29:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(46,1),(47,1),(91,1),(92,1),(95,1)}
        30:{3,4,5,7}:{(16,1),(19,1),(40,1),(45,1),(46,1)}
        31:{1,4,6,7}:{(17,1),(44,1),(47,1),(48,1),(88,1)}
        32:{3,6,7}:{(18,1),(45,1),(138,1)}
        33:{1,4,6,7}:{(19,1),(20,1),(46,1),(49,1),(182,1)}
        34:{1,2,4,7}:{(21,1),(22,1),(51,1),(53,1)}
        35:{1,2,3,6}:{(21,1),(23,1),(53,1),(96,1)}
        36:{1,3,4,5,7}:{(22,1),(52,1),(55,1),(56,1),(64,1),(102,1),(112,1),(148,1),(161,1),(186,1)}
        37:{1,3,4,6}:{(22,1),(23,1),(53,1),(56,1),(57,1),(101,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(28,1),(56,1),(57,1),(58,1)}
        39:{1,2,4,5,6}:{(24,1),(25,1),(29,1),(57,1),(58,1),(59,1),(68,1),(100,1),(106,1),(107,1),(111,1),(120,1)}
        40:{3,4,5,6}:{(25,1),(30,1),(58,1),(59,1),(148,1),(160,1)}
        41:{1,2,4,6,7}:{(26,1),(27,1),(53,1),(60,1),(61,1),(62,1),(70,1),(111,1),(197,1)}
        42:{1,2,3,5,7}:{(26,1),(28,1),(54,1),(61,1),(62,1),(67,1),(112,1),(146,1),(165,1),(166,1),(190,1)}
        43:{1,3,5,7}:{(27,1),(56,1),(61,1),(63,1),(64,1),(69,1),(112,1)}
        44:{1,4,7}:{(28,1),(57,1),(65,1)}
        45:{3,5,7}:{(29,1),(32,1),(58,1),(65,1)}
        46:{1,4,5,7}:{(30,1),(33,1),(59,1),(66,1)}
        47:{1,4,5,7}:{(31,1),(68,1),(69,1)}
        48:{3,4,6,7}:{(31,1),(32,1),(65,1),(69,1),(70,1),(116,1)}
        49:{1,3,6,7}:{(32,1),(33,1),(66,1),(71,1),(163,1)}
        50:{2,3,6,7}:{(32,1),(67,1),(70,1),(71,1),(164,1)}
        51:{2,3,4,7}:{(34,1),(72,1),(73,1),(86,1),(168,1)}
        52:{1,2,4,5,7}:{(34,1),(36,1),(72,1),(74,1),(75,1),(123,1),(124,1),(168,1)}
        53:{1,2,4,6}:{(34,1),(35,1),(37,1),(73,1),(75,1)}
        54:{1,2,3,5,6}:{(35,1),(38,1),(42,1),(75,1),(76,1),(82,1),(84,1),(122,1),(126,1),(138,1),(173,1),(175,1),(176,1),(185,1)}
        55:{1,3,4,6}:{(36,1),(74,1),(78,1),(88,1),(138,1),(169,1),(182,1)}
        56:{1,3,5}:{(37,1),(75,1),(79,1),(126,1)}
        57:{1,4,6}:{(38,1),(44,1),(79,1),(80,1)}
        58:{3,5,6}:{(39,1),(45,1),(80,1),(126,1),(138,1)}
        59:{1,4,5,6}:{(40,1),(46,1),(81,1),(170,1),(182,1)}
        60:{2,3,4,6,7}:{(41,1),(73,1),(83,1),(86,1),(121,1),(135,1),(138,1),(168,1),(181,1)}
        61:{1,2,5,7}:{(41,1),(43,1),(75,1),(83,1),(84,1),(95,1),(205,1)}
        62:{1,2,4,7}:{(42,1),(44,1),(76,1),(86,1),(91,1),(168,1),(199,1)}
        63:{1,3,5,6}:{(43,1),(84,1),(88,1),(94,1),(138,1)}
        64:{1,4,5,7}:{(43,1),(44,1),(79,1),(88,1),(89,1)}
        65:{3,4,7}:{(44,1),(45,1),(80,1),(91,1)}
        66:{1,3,5,7}:{(45,1),(46,1),(49,1),(81,1),(90,1),(92,1)}
        67:{2,3,5,7}:{(45,1),(50,1),(82,1),(91,1),(92,1),(95,1),(144,1)}
        68:{1,4,5,6}:{(47,1),(88,1),(94,1)}
        69:{3,5,7}:{(47,1),(48,1),(94,1),(95,1)}
        70:{2,4,6,7}:{(48,1),(50,1),(91,1),(95,1),(143,1)}
        71:{1,2,6,7}:{(49,1),(50,1),(92,1),(185,1)}
        72:{2,3,5,7}:{(51,1),(52,1),(96,1),(97,1),(112,1)}
        73:{2,3,4,6}:{(51,1),(53,1),(96,1),(97,1),(101,1),(147,1)}
        74:{1,2,4,6}:{(52,1),(55,1),(96,1),(99,1),(147,1)}
        75:{1,2,5}:{(53,1),(56,1),(97,1)}
        76:{1,2,4,6}:{(54,1),(57,1),(62,1),(100,1),(101,1),(106,1),(147,1),(187,1)}
        77:{1,3,4,6,7}:{(55,1),(98,1),(102,1),(115,1),(162,1),(186,1),(197,1)}
        78:{1,3,5,6}:{(55,1),(56,1),(99,1),(102,1),(103,1),(150,1),(196,1)}
        79:{1,4,5}:{(56,1),(57,1),(104,1)}
        80:{3,4,6}:{(57,1),(58,1),(65,1),(104,1),(106,1)}
        81:{1,3,5,6}:{(58,1),(59,1),(66,1),(105,1),(107,1),(151,1),(163,1)}
        82:{2,3,5,6}:{(58,1),(67,1),(106,1),(107,1),(120,1),(152,1),(157,1),(164,1)}
        83:{2,3,5,7}:{(60,1),(61,1),(97,1),(108,1),(109,1),(112,1),(195,1)}
        84:{1,2,5,6}:{(61,1),(63,1),(108,1),(111,1),(120,1),(196,1)}
        85:{1,2,4,5,7}:{(61,1),(62,1),(64,1),(100,1),(109,1),(111,1),(112,1),(117,1),(161,1),(165,1)}
        86:{3,4,7}:{(62,1),(101,1),(112,1)}
        87:{1,3,5,6,7}:{(63,1),(102,1),(110,1),(115,1),(119,1),(162,1)}
        88:{1,4,6}:{(63,1),(64,1),(116,1)}
        89:{3,4,5,7}:{(64,1),(65,1),(69,1),(104,1),(112,1),(116,1),(117,1)}
        90:{1,3,4,7}:{(65,1),(66,1),(105,1),(118,1)}
        91:{2,4,7}:{(65,1),(67,1),(106,1)}
        92:{1,2,5,7}:{(66,1),(67,1),(71,1),(107,1),(118,1)}
        93:{1,4,5,6,7}:{(68,1),(115,1),(119,1)}
        94:{3,5,6}:{(68,1),(69,1),(116,1),(120,1)}
        95:{2,5,7}:{(69,1),(70,1),(120,1)}
        96:{2,3,6}:{(72,1),(74,1),(138,1)}
        97:{2,3,5}:{(73,1),(75,1),(123,1),(126,1)}
        98:{1,2,4,6,7}:{(74,1),(77,1),(121,1),(124,1),(168,1)}
        99:{1,2,5,6}:{(74,1),(75,1),(78,1),(122,1),(124,1)}
       100:{1,2,4,5}:{(75,1),(76,1),(79,1),(123,1),(126,1),(132,1),(170,1),(175,1)}
       101:{3,4,6}:{(76,1),(86,1),(126,1),(138,1)}
       102:{1,3,5,7}:{(77,1),(78,1),(124,1),(129,1),(172,1),(205,1)}
       103:{1,4,5,6}:{(78,1),(79,1),(88,1),(129,1),(130,1)}
       104:{3,4,5}:{(79,1),(80,1),(126,1),(132,1)}
       105:{1,3,4,6}:{(80,1),(81,1),(90,1),(131,1),(133,1)}
       106:{2,4,6}:{(80,1),(82,1),(91,1),(132,1)}
       107:{1,2,5,6}:{(81,1),(82,1),(92,1),(133,1),(175,1),(185,1)}
       108:{2,3,5,6}:{(83,1),(84,1),(135,1),(138,1),(180,1)}
       109:{2,4,5,7}:{(83,1),(123,1),(135,1),(136,1),(168,1)}
       110:{1,2,5,6,7}:{(84,1),(87,1),(124,1),(134,1),(137,1),(145,1),(205,1)}
       111:{1,2,4,6}:{(84,1),(85,1),(88,1),(135,1),(138,1),(143,1),(182,1),(185,1)}
       112:{3,5,7}:{(85,1),(86,1),(126,1),(138,1)}
       113:{1,3,4,7}:{(86,1),(127,1),(139,1),(141,1),(199,1),(209,1)}
       114:{2,3,4,7}:{(86,1),(91,1),(128,1),(140,1),(141,1),(144,1)}
       115:{1,4,6,7}:{(87,1),(88,1),(129,1),(142,1)}
       116:{3,4,6}:{(88,1),(89,1),(94,1),(138,1),(143,1)}
       117:{2,4,5,7}:{(89,1),(91,1),(95,1),(132,1),(140,1),(143,1)}
       118:{1,2,4,7}:{(90,1),(91,1),(92,1),(133,1),(144,1)}
       119:{3,5,6,7}:{(93,1),(94,1),(142,1),(145,1)}
       120:{2,5,6}:{(94,1),(95,1),(143,1)}
       121:{2,3,6,7}:{(96,1),(98,1),(146,1),(162,1)}
       122:{2,3,5,6}:{(96,1),(97,1),(99,1),(146,1),(147,1),(150,1)}
       123:{2,4,5}:{(97,1),(147,1),(148,1)}
       124:{1,2,5,7}:{(98,1),(99,1),(102,1),(146,1)}
       125:{1,2,4,5,6}:{(99,1),(100,1),(103,1),(111,1),(147,1),(149,1),(150,1),(155,1),(158,1),(187,1),(192,1),(196,1)}
       126:{3,5}:{(100,1),(101,1)}
       127:{1,3,4,6}:{(101,1),(113,1),(151,1),(153,1),(163,1),(187,1),(207,1),(208,1)}
       128:{2,3,4,6}:{(101,1),(106,1),(114,1),(152,1),(153,1),(157,1),(164,1),(194,1)}
       129:{1,4,5,7}:{(102,1),(103,1),(115,1),(154,1)}
       130:{3,4,5,6}:{(103,1),(104,1),(116,1),(150,1),(154,1),(155,1)}
       131:{1,3,4,5}:{(104,1),(105,1),(151,1),(156,1),(208,1)}
       132:{2,4,5}:{(104,1),(106,1),(152,1)}
       133:{1,2,4,6}:{(105,1),(106,1),(107,1),(118,1),(156,1),(157,1)}
       134:{2,3,5,6,7}:{(108,1),(110,1),(146,1),(159,1),(162,1),(195,1)}
       135:{2,4,6}:{(108,1),(109,1),(160,1)}
       136:{3,4,5,7}:{(109,1),(112,1),(148,1),(160,1),(161,1),(186,1),(195,1)}
       137:{1,2,4,6,7}:{(110,1),(111,1),(115,1),(149,1),(159,1),(162,1),(167,1),(197,1),(198,1)}
       138:{3,6}:{(111,1),(112,1)}
       139:{1,3,5,7}:{(112,1),(113,1),(151,1),(161,1),(163,1),(165,1)}
       140:{2,3,5,7}:{(112,1),(114,1),(117,1),(152,1),(164,1),(165,1)}
       141:{1,2,4,7}:{(113,1),(114,1),(153,1),(165,1),(166,1)}
       142:{3,4,6,7}:{(115,1),(116,1),(119,1),(154,1),(162,1),(167,1)}
       143:{2,4,6}:{(116,1),(117,1),(120,1),(164,1)}
       144:{2,3,7}:{(118,1),(157,1)}
       145:{2,5,6,7}:{(119,1),(120,1),(167,1)}
       146:{2,3,5,7}:{(121,1),(122,1),(124,1),(168,1),(172,1)}
       147:{2,4,6}:{(122,1),(123,1),(168,1),(169,1)}
       148:{3,4,5}:{(123,1),(126,1),(169,1),(170,1)}
       149:{1,2,4,5,7}:{(124,1),(125,1),(129,1),(137,1),(168,1),(172,1),(177,1),(179,1),(199,1),(203,1),(205,1)}
       150:{3,5,6}:{(125,1),(126,1),(138,1),(169,1),(172,1)}
       151:{1,3,5}:{(126,1),(127,1),(170,1),(175,1)}
       152:{2,3,5}:{(126,1),(128,1),(132,1),(175,1)}
       153:{1,2,4,6}:{(127,1),(128,1),(141,1),(175,1),(176,1),(185,1),(204,1)}
       154:{3,4,5,7}:{(129,1),(130,1),(142,1),(172,1),(177,1)}
       155:{2,4,5,6}:{(130,1),(132,1),(143,1),(174,1),(177,1)}
       156:{1,2,4,5}:{(131,1),(132,1),(133,1),(175,1),(178,1),(204,1)}
       157:{2,3,6}:{(133,1),(144,1),(178,1)}
       158:{2,4,5,6}:{(135,1),(179,1),(180,1)}
       159:{2,4,6,7}:{(134,1),(135,1),(168,1),(179,1),(181,1)}
       160:{3,4,6}:{(135,1),(136,1),(138,1),(180,1),(182,1)}
       161:{1,4,5,7}:{(136,1),(139,1),(170,1),(182,1),(199,1),(205,1)}
       162:{3,6,7}:{(137,1),(138,1),(172,1)}
       163:{1,3,6}:{(138,1),(139,1),(182,1),(185,1)}
       164:{2,3,6}:{(138,1),(140,1),(143,1),(185,1)}
       165:{1,2,5,7}:{(139,1),(140,1),(141,1),(175,1),(185,1)}
       166:{1,2,3,7}:{(141,1),(144,1),(176,1),(209,1)}
       167:{2,4,6,7}:{(142,1),(143,1),(145,1),(177,1),(184,1)}
       168:{2,4,7}:{(146,1),(147,1),(186,1)}
       169:{3,4,6}:{(147,1),(148,1),(150,1),(186,1),(187,1)}
       170:{1,4,5}:{(148,1),(151,1),(187,1)}
       171:{2,3,4,5}:{(148,1),(152,1),(188,1),(189,1),(194,1)}
       172:{3,5,7}:{(149,1),(150,1),(162,1),(186,1)}
       173:{1,3,5,6}:{(150,1),(151,1),(163,1),(187,1),(190,1),(192,1),(196,1),(207,1)}
       174:{2,3,5,6}:{(150,1),(152,1),(155,1),(164,1),(188,1),(191,1),(192,1)}
       175:{1,2,5}:{(151,1),(152,1),(153,1)}
       176:{1,2,3,6}:{(153,1),(157,1),(166,1),(193,1),(207,1)}
       177:{2,4,5,7}:{(154,1),(155,1),(167,1),(191,1)}
       178:{2,3,5}:{(156,1),(157,1),(194,1)}
       179:{2,4,5,7}:{(158,1),(159,1),(195,1)}
       180:{3,5,6}:{(158,1),(160,1),(195,1),(196,1)}
       181:{3,4,6,7}:{(159,1),(160,1),(162,1),(186,1),(195,1),(197,1)}
       182:{1,4,6}:{(160,1),(161,1),(163,1),(196,1)}
       183:{1,3,6,7}:{(162,1),(163,1),(190,1),(197,1),(198,1)}
       184:{2,3,6,7}:{(162,1),(164,1),(167,1),(191,1),(198,1)}
       185:{1,2,6}:{(163,1),(164,1),(165,1)}
       186:{3,4,7}:{(168,1),(169,1),(172,1),(199,1)}
       187:{1,4,6}:{(169,1),(170,1),(173,1),(199,1)}
       188:{2,3,4,6}:{(169,1),(171,1),(174,1),(200,1),(201,1)}
       189:{1,2,4,5}:{(170,1),(171,1),(175,1),(201,1),(202,1),(204,1)}
       190:{1,3,5,7}:{(172,1),(173,1),(183,1),(199,1),(203,1),(205,1),(209,1)}
       191:{2,3,5,7}:{(172,1),(174,1),(177,1),(184,1),(200,1),(203,1)}
       192:{1,2,5,6}:{(173,1),(174,1),(175,1),(185,1),(201,1),(203,1)}
       193:{1,2,3,5}:{(175,1),(176,1),(178,1),(202,1),(204,1)}
       194:{2,3,4}:{(178,1),(204,1)}
       195:{3,5,7}:{(179,1),(180,1),(181,1),(205,1)}
       196:{1,5,6}:{(180,1),(182,1),(205,1)}
       197:{1,4,6,7}:{(181,1),(182,1),(183,1),(199,1),(205,1)}
       198:{1,2,6,7}:{(183,1),(184,1),(185,1),(203,1)}
       199:{1,4,7}:{(186,1),(187,1),(190,1)}
       200:{2,3,4,7}:{(186,1),(188,1),(191,1),(206,1)}
       201:{1,2,4,6}:{(187,1),(188,1),(189,1),(192,1),(206,1),(207,1)}
       202:{1,3,5}:{(189,1),(207,1),(208,1)}
       203:{1,2,5,7}:{(190,1),(191,1),(192,1),(198,1),(206,1)}
       204:{1,2,4}:{(193,1),(194,1),(208,1)}
       205:{1,5,7}:{(195,1),(196,1),(197,1)}
       206:{1,2,4,7}:{(199,1),(200,1),(201,1),(203,1),(209,1)}
       207:{1,3,6}:{(201,1),(202,1),(209,1)}
       208:{1,3,4}:{(202,1),(204,1)}
       209:{1,3,7}:{(206,1),(207,1)}

1361 :   0:{1,4,5,6}:{(4,1),(5,1),(29,1),(31,1),(86,1)}
         1:{1,3,4,6}:{(6,1),(7,1),(8,1),(29,1),(40,1),(85,1),(90,1),(129,1),(144,1)}
         2:{3,4,5}:{(11,1),(13,1),(14,1),(61,1)}
         3:{1,5,6,7}:{(10,1),(15,1),(97,1),(112,1)}
         4:{1,4,5,7}:{(0,1),(15,1),(16,1),(52,1),(54,1),(112,1)}
         5:{3,5,6}:{(0,1),(11,1),(16,1),(18,1)}
         6:{1,3,5}:{(1,1),(13,1),(20,1),(61,1),(153,1),(166,1)}
         7:{1,3,4,7}:{(1,1),(19,1),(21,1),(54,1),(111,1),(115,1),(119,1),(152,1)}
         8:{1,2,4,6}:{(1,1),(20,1),(21,1),(22,1),(66,1),(68,1),(123,1)}
         9:{2,3,4}:{(24,1),(26,1),(90,1)}
        10:{3,5,6,7}:{(3,1),(23,1),(27,1),(36,1),(70,1),(81,1)}
        11:{3,4,6}:{(2,1),(5,1),(28,1),(29,1),(30,1),(85,1)}
        12:{3,4,5,7}:{(2,1),(28,1),(32,1),(33,1),(34,1),(77,1),(81,1),(89,1),(124,1),(180,1),(183,1)}
        13:{1,4,5}:{(2,1),(6,1),(29,1),(183,1)}
        14:{2,4,5}:{(2,1),(24,1),(30,1)}
        15:{1,4,6,7}:{(3,1),(4,1),(27,1),(36,1)}
        16:{3,5,7}:{(4,1),(5,1),(28,1),(36,1),(38,1)}
        17:{1,3,5,6}:{(5,1),(6,1),(29,1),(37,1),(39,1),(40,1),(85,1),(86,1),(143,1)}
        18:{2,5,6}:{(5,1),(30,1),(38,1)}
        19:{1,3,5,7}:{(6,1),(7,1),(33,1),(40,1),(41,1),(89,1),(135,1),(169,1),(173,1)}
        20:{1,2,5}:{(6,1),(8,1),(42,1),(147,1)}
        21:{1,2,4,7}:{(7,1),(8,1),(41,1),(43,1),(95,1),(138,1)}
        22:{2,3,6}:{(8,1),(42,1),(43,1),(85,1)}
        23:{2,5,6,7}:{(10,1),(44,1),(63,1),(113,1)}
        24:{2,3,5}:{(9,1),(14,1),(45,1),(48,1),(61,1)}
        25:{2,3,4,7}:{(9,1),(47,1),(49,1),(50,1),(119,1),(149,1),(186,1),(203,1)}
        26:{1,2,4}:{(9,1),(48,1),(51,1),(106,1)}
        27:{4,6,7}:{(10,1),(52,1)}
        28:{3,4,7}:{(11,1),(16,1),(54,1),(55,1),(115,1)}
        29:{1,4,6}:{(11,1),(13,1),(17,1),(54,1),(165,1)}
        30:{2,4,6}:{(11,1),(14,1),(18,1),(45,1),(55,1)}
        31:{4,5,6}:{(52,1),(57,1),(165,1)}
        32:{3,4,6}:{(12,1),(57,1),(58,1),(59,1),(118,1),(165,1)}
        33:{1,4,5,7}:{(12,1),(13,1),(19,1),(54,1),(58,1),(107,1),(112,1),(148,1)}
        34:{2,4,5,7}:{(12,1),(14,1),(47,1),(55,1),(59,1),(108,1),(113,1),(149,1)}
        35:{1,2,4,5}:{(13,1),(14,1),(20,1),(48,1),(56,1),(61,1),(68,1),(106,1),(122,1),(153,1)}
        36:{3,6,7}:{(15,1),(16,1),(63,1)}
        37:{1,3,5,7}:{(16,1),(17,1),(54,1),(62,1),(64,1),(112,1),(115,1),(162,1)}
        38:{2,5,7}:{(16,1),(18,1),(55,1),(63,1)}
        39:{1,2,5,6}:{(17,1),(18,1),(20,1),(56,1),(64,1),(65,1),(66,1),(153,1),(189,1)}
        40:{1,3,6}:{(19,1),(58,1),(66,1),(118,1),(189,1)}
        41:{1,2,5,7}:{(19,1),(20,1),(21,1),(66,1),(67,1),(158,1),(185,1)}
        42:{2,3,5}:{(20,1),(22,1),(61,1),(68,1)}
        43:{2,3,7}:{(21,1),(22,1),(115,1),(161,1)}
        44:{2,4,6,7}:{(23,1),(27,1),(69,1),(70,1)}
        45:{2,3,6}:{(24,1),(30,1),(71,1),(72,1),(85,1)}
        46:{2,4,5,6}:{(31,1),(69,1),(73,1),(87,1),(131,1)}
        47:{2,3,5,7}:{(24,1),(25,1),(34,1),(71,1),(74,1),(75,1),(78,1),(89,1),(207,1)}
        48:{1,2,5}:{(24,1),(26,1),(72,1),(76,1)}
        49:{2,3,4,6}:{(25,1),(74,1),(78,1),(79,1),(131,1),(144,1),(175,1),(179,1),(200,1)}
        50:{1,2,4,7}:{(25,1),(26,1),(75,1),(79,1),(80,1),(134,1)}
        51:{1,3}:{(26,1)}
        52:{4,5,7}:{(27,1),(31,1),(81,1),(180,1)}
        53:{3,4,6,7}:{(27,1),(28,1),(32,1),(36,1),(70,1),(81,1),(82,1),(83,1),(124,1),(140,1),(180,1)}
        54:{1,4,7}:{(28,1),(29,1),(37,1),(180,1)}
        55:{2,4,7}:{(28,1),(30,1),(38,1),(71,1)}
        56:{1,2,4,6}:{(29,1),(30,1),(35,1),(39,1),(72,1),(84,1),(85,1),(93,1),(129,1)}
        57:{3,5,6}:{(31,1),(32,1),(81,1),(86,1),(87,1)}
        58:{1,4,6}:{(32,1),(33,1),(40,1),(86,1)}
        59:{2,4,6}:{(32,1),(34,1),(74,1),(87,1)}
        60:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(41,1),(75,1),(84,1),(88,1),(89,1),(95,1),(134,1),(136,1),(139,1),(146,1),(147,1),(170,1),(173,1),(177,1),(180,1),(183,1),(198,1),(207,1)}
        61:{3,5}:{(35,1),(85,1),(90,1)}
        62:{1,3,6,7}:{(36,1),(37,1),(40,1),(82,1),(91,1),(140,1),(169,1)}
        63:{2,6,7}:{(36,1),(38,1)}
        64:{1,2,5,7}:{(37,1),(38,1),(39,1),(84,1),(91,1),(92,1),(173,1)}
        65:{2,3,5,6}:{(39,1),(42,1),(85,1),(92,1),(93,1),(94,1),(142,1),(143,1),(147,1),(182,1),(184,1)}
        66:{1,2,6}:{(40,1),(41,1),(94,1)}
        67:{2,3,5,7}:{(41,1),(42,1),(43,1),(89,1),(94,1),(95,1),(147,1),(178,1),(196,1),(207,1)}
        68:{2,4}:{(42,1),(90,1)}
        69:{2,4,5,7}:{(44,1),(46,1),(52,1),(96,1),(113,1),(149,1)}
        70:{3,6,7}:{(44,1),(96,1),(97,1)}
        71:{2,3,7}:{(45,1),(55,1),(99,1),(115,1)}
        72:{1,2,6}:{(45,1),(48,1),(99,1),(100,1)}
        73:{3,5,6}:{(46,1),(96,1),(101,1),(102,1)}
        74:{2,3,6}:{(47,1),(59,1),(104,1),(118,1),(209,1)}
        75:{1,2,5,7}:{(47,1),(48,1),(50,1),(99,1),(104,1),(105,1),(109,1)}
        76:{1,3,5}:{(48,1),(51,1),(61,1),(100,1),(106,1),(153,1)}
        77:{3,4,5}:{(101,1),(107,1),(108,1),(159,1)}
        78:{2,3,5}:{(49,1),(108,1),(109,1),(159,1),(166,1),(206,1)}
        79:{1,2,4,6}:{(49,1),(50,1),(104,1),(109,1),(110,1),(157,1),(160,1)}
        80:{1,3,7}:{(50,1),(51,1),(110,1),(186,1)}
        81:{3,5,7}:{(52,1),(53,1),(57,1),(112,1),(113,1)}
        82:{1,4,6,7}:{(53,1),(54,1),(58,1),(62,1),(97,1),(112,1),(148,1)}
        83:{2,4,6,7}:{(53,1),(55,1),(59,1),(63,1),(98,1),(113,1),(149,1)}
        84:{1,2,4,7}:{(54,1),(55,1),(56,1),(64,1),(99,1),(115,1),(121,1),(152,1)}
        85:{3,6}:{(56,1),(61,1),(115,1)}
        86:{1,5,6}:{(57,1),(58,1),(112,1)}
        87:{2,5,6}:{(57,1),(59,1),(113,1)}
        88:{1,2,4,6}:{(58,1),(59,1),(60,1),(66,1),(104,1),(117,1),(118,1),(123,1),(157,1),(165,1),(168,1),(189,1),(205,1),(209,1)}
        89:{3,5,7}:{(60,1),(61,1),(115,1),(118,1),(119,1),(159,1),(166,1),(186,1)}
        90:{3,4}:{(61,1),(68,1),(106,1)}
        91:{1,2,6,7}:{(62,1),(63,1),(64,1),(66,1),(120,1),(185,1),(189,1)}
        92:{2,3,5,7}:{(64,1),(65,1),(115,1),(120,1),(121,1),(162,1),(164,1),(167,1)}
        93:{2,4,6}:{(65,1),(68,1),(116,1),(121,1),(122,1),(165,1)}
        94:{2,3,6}:{(66,1),(67,1),(118,1),(123,1),(209,1)}
        95:{2,4,7}:{(67,1),(68,1),(119,1),(123,1),(193,1)}
        96:{3,5,7}:{(69,1),(70,1),(73,1),(124,1),(125,1)}
        97:{1,6,7}:{(70,1),(125,1)}
        98:{2,3,6,7}:{(70,1),(71,1),(74,1),(83,1),(126,1),(127,1),(140,1)}
        99:{1,2,7}:{(71,1),(72,1),(128,1)}
       100:{1,3,6}:{(72,1),(76,1),(85,1),(128,1),(129,1)}
       101:{3,4,6}:{(73,1),(77,1),(124,1),(130,1),(131,1),(175,1)}
       102:{1,5,6}:{(73,1),(125,1),(130,1)}
       103:{2,3,5,6}:{(73,1),(74,1),(78,1),(87,1),(126,1),(131,1),(132,1),(143,1),(175,1)}
       104:{1,2,6}:{(74,1),(75,1),(133,1)}
       105:{1,3,5,7}:{(75,1),(76,1),(80,1),(89,1),(128,1),(133,1),(134,1),(137,1),(173,1),(177,1)}
       106:{1,4}:{(76,1),(90,1)}
       107:{1,4,5}:{(77,1),(130,1),(135,1)}
       108:{2,4,5}:{(77,1),(78,1),(131,1),(183,1)}
       109:{1,2,5}:{(78,1),(79,1),(137,1),(177,1)}
       110:{1,3,6}:{(79,1),(80,1),(137,1),(175,1)}
       111:{1,3,4}:{(135,1),(138,1),(179,1)}
       112:{1,5,7}:{(81,1),(82,1),(86,1)}
       113:{2,5,7}:{(81,1),(83,1),(87,1)}
       114:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(88,1),(91,1),(127,1),(139,1),(140,1),(145,1),(170,1),(172,1),(180,1)}
       115:{3,7}:{(84,1),(85,1)}
       116:{3,4,6}:{(85,1),(90,1),(93,1),(129,1),(141,1),(142,1),(182,1)}
       117:{1,2,5,6}:{(86,1),(87,1),(88,1),(139,1),(143,1),(147,1),(177,1),(184,1),(199,1)}
       118:{3,6}:{(88,1),(89,1)}
       119:{3,4,7}:{(89,1),(90,1),(95,1),(134,1),(144,1),(179,1),(180,1)}
       120:{2,3,6,7}:{(91,1),(92,1),(94,1),(140,1),(145,1),(182,1),(196,1)}
       121:{2,4,7}:{(92,1),(93,1),(141,1),(180,1)}
       122:{2,4,5}:{(93,1),(142,1),(147,1),(183,1)}
       123:{2,4,6}:{(94,1),(95,1),(144,1),(147,1)}
       124:{3,4,7}:{(96,1),(101,1),(148,1),(149,1),(186,1)}
       125:{1,5,7}:{(96,1),(97,1),(102,1),(148,1)}
       126:{2,3,5,7}:{(96,1),(98,1),(103,1),(113,1),(149,1),(150,1),(162,1),(186,1)}
       127:{1,2,6,7}:{(97,1),(98,1),(99,1),(104,1),(150,1),(151,1),(209,1)}
       128:{1,3,7}:{(99,1),(100,1),(115,1),(152,1)}
       129:{1,4,6}:{(100,1),(106,1),(116,1),(152,1),(153,1),(189,1)}
       130:{1,4,6}:{(101,1),(102,1),(107,1),(148,1),(154,1)}
       131:{2,4,6}:{(101,1),(103,1),(108,1),(149,1),(165,1)}
       132:{1,2,5,6}:{(102,1),(103,1),(104,1),(109,1),(150,1),(155,1),(156,1),(206,1),(209,1)}
       133:{1,3,6}:{(104,1),(105,1),(118,1),(157,1),(189,1)}
       134:{1,4,7}:{(105,1),(106,1),(119,1),(157,1),(160,1)}
       135:{1,3,5}:{(107,1),(111,1),(154,1),(158,1),(159,1)}
       136:{1,2,4,5}:{(107,1),(108,1),(109,1),(155,1),(158,1),(159,1),(160,1),(192,1),(193,1),(206,1)}
       137:{1,3,5}:{(109,1),(110,1),(159,1),(160,1)}
       138:{1,2,4}:{(111,1),(158,1),(161,1),(193,1)}
       139:{1,2,5,7}:{(112,1),(113,1),(114,1),(117,1),(162,1),(167,1),(188,1)}
       140:{3,6,7}:{(114,1),(115,1),(118,1),(162,1),(186,1)}
       141:{3,4,7}:{(115,1),(116,1),(121,1),(152,1),(164,1)}
       142:{3,5}:{(116,1),(122,1),(153,1)}
       143:{3,5,6}:{(117,1),(118,1),(162,1),(165,1),(166,1)}
       144:{3,4,6}:{(118,1),(119,1),(123,1),(157,1),(165,1),(166,1)}
       145:{2,4,6,7}:{(120,1),(121,1),(123,1),(163,1),(167,1),(168,1),(203,1),(209,1)}
       146:{2,4,5,7}:{(121,1),(122,1),(164,1),(167,1),(168,1),(194,1)}
       147:{2,5}:{(123,1),(166,1)}
       148:{1,4,7}:{(124,1),(125,1),(130,1),(169,1)}
       149:{2,4,7}:{(124,1),(126,1),(131,1),(180,1)}
       150:{1,2,5,7}:{(125,1),(126,1),(127,1),(132,1),(170,1),(171,1),(207,1)}
       151:{1,3,6,7}:{(127,1),(128,1),(133,1),(140,1),(171,1),(172,1),(208,1)}
       152:{1,4,7}:{(128,1),(129,1),(141,1),(173,1)}
       153:{1,5}:{(129,1),(142,1)}
       154:{1,3,6}:{(130,1),(135,1),(169,1),(174,1),(175,1)}
       155:{1,2,4,6}:{(130,1),(131,1),(132,1),(136,1),(170,1),(174,1),(175,1),(176,1),(200,1)}
       156:{1,3,5,6}:{(132,1),(133,1),(137,1),(143,1),(171,1),(175,1),(176,1),(177,1),(199,1),(201,1),(208,1)}
       157:{1,4,6}:{(133,1),(134,1),(144,1),(177,1)}
       158:{1,2,5}:{(135,1),(138,1),(174,1),(178,1)}
       159:{3,5}:{(136,1),(175,1),(179,1)}
       160:{1,4}:{(137,1),(179,1)}
       161:{2,3}:{(138,1)}
       162:{3,5,7}:{(139,1),(140,1),(143,1),(180,1)}
       163:{3,4,6,7}:{(140,1),(141,1),(144,1),(145,1),(172,1),(180,1),(181,1),(182,1),(197,1),(202,1),(208,1)}
       164:{3,5,7}:{(141,1),(142,1),(146,1),(173,1),(182,1)}
       165:{4,6}:{(143,1),(180,1),(183,1)}
       166:{3,5}:{(144,1),(147,1),(177,1),(183,1)}
       167:{2,5,7}:{(145,1),(147,1),(181,1),(184,1)}
       168:{2,4,6}:{(146,1),(182,1),(184,1),(202,1)}
       169:{1,3,7}:{(148,1),(154,1),(185,1),(186,1)}
       170:{1,2,4,7}:{(148,1),(149,1),(150,1),(155,1),(185,1),(186,1),(187,1),(203,1)}
       171:{1,3,5,7}:{(150,1),(151,1),(156,1),(162,1),(186,1),(187,1),(188,1),(204,1)}
       172:{1,4,6,7}:{(151,1),(152,1),(157,1),(163,1),(187,1),(188,1),(189,1),(205,1)}
       173:{1,5,7}:{(152,1),(153,1),(164,1),(189,1)}
       174:{1,2,6}:{(154,1),(158,1),(185,1),(190,1)}
       175:{3,6}:{(155,1),(159,1),(186,1)}
       176:{1,4,6}:{(156,1),(160,1),(165,1),(187,1),(191,1),(192,1)}
       177:{1,5}:{(157,1),(166,1)}
       178:{2,3,5}:{(158,1),(159,1),(161,1),(190,1),(193,1),(206,1)}
       179:{3,4}:{(159,1),(160,1),(193,1)}
       180:{4,7}:{(162,1),(165,1)}
       181:{3,5,7}:{(163,1),(166,1),(167,1),(188,1),(194,1),(195,1)}
       182:{3,6}:{(164,1),(168,1),(189,1)}
       183:{4,5}:{(165,1),(166,1)}
       184:{2,5,6}:{(167,1),(168,1),(195,1),(209,1)}
       185:{1,2,7}:{(169,1),(174,1),(196,1)}
       186:{3,7}:{(170,1),(175,1)}
       187:{1,4,7}:{(171,1),(176,1),(180,1),(197,1)}
       188:{1,5,7}:{(172,1),(177,1),(181,1),(199,1)}
       189:{1,6}:{(173,1),(182,1)}
       190:{2,3,6}:{(174,1),(175,1),(178,1),(196,1),(200,1)}
       191:{3,4,6}:{(175,1),(176,1),(179,1),(197,1),(200,1),(201,1),(208,1)}
       192:{1,4,5}:{(176,1),(177,1),(183,1),(201,1)}
       193:{2,4}:{(178,1),(179,1)}
       194:{4,5,7}:{(180,1),(181,1),(183,1),(202,1)}
       195:{3,5,6}:{(181,1),(182,1),(184,1),(199,1),(202,1),(208,1)}
       196:{2,3,7}:{(185,1),(186,1),(190,1),(203,1)}
       197:{3,4,7}:{(186,1),(187,1),(191,1),(203,1),(204,1)}
       198:{1,4,5,7}:{(187,1),(188,1),(192,1),(194,1),(204,1),(205,1)}
       199:{1,5,6}:{(188,1),(189,1),(195,1),(205,1)}
       200:{2,4,6}:{(190,1),(191,1),(193,1),(203,1),(206,1),(209,1)}
       201:{3,5}:{(191,1),(192,1),(206,1)}
       202:{4,6}:{(194,1),(195,1)}
       203:{2,4,7}:{(196,1),(197,1),(200,1),(207,1)}
       204:{3,5,7}:{(197,1),(198,1),(201,1),(207,1),(208,1)}
       205:{1,4,6}:{(198,1),(199,1),(202,1),(208,1)}
       206:{2,5}:{(200,1),(201,1)}
       207:{2,5,7}:{(203,1),(204,1),(206,1),(209,1)}
       208:{3,6}:{(204,1),(205,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

1362 :   0:{1,2,3,6}:{(3,1),(5,1),(6,1),(78,1),(86,1)}
         1:{1,3,4,6}:{(5,1),(7,1),(8,1),(31,1),(37,1),(47,1),(86,1),(88,1)}
         2:{1,4,5,6}:{(9,1),(10,1),(37,1),(95,1),(97,1)}
         3:{1,2,3,5}:{(0,1),(11,1),(13,1),(20,1),(51,1),(57,1)}
         4:{3,4,5}:{(15,1),(16,1),(17,1),(57,1)}
         5:{1,2,4,6}:{(0,1),(1,1),(13,1),(19,1),(20,1),(21,1),(72,1)}
         6:{1,2,3,7}:{(0,1),(21,1),(109,1),(118,1),(210,1)}
         7:{1,3,5}:{(1,1),(16,1),(20,1),(57,1),(120,1)}
         8:{1,3,4,7}:{(1,1),(21,1),(24,1),(58,1),(64,1),(118,1),(166,1)}
         9:{3,5,6}:{(2,1),(17,1),(22,1),(25,1)}
        10:{1,4,5,7}:{(2,1),(25,1),(26,1),(64,1),(125,1),(126,1)}
        11:{1,2,3}:{(27,1)}
        12:{2,3,4}:{(27,1),(29,1),(31,1)}
        13:{1,2,4}:{(3,1),(31,1)}
        14:{1,2,3,5,7}:{(3,1),(6,1),(28,1),(33,1),(34,1),(44,1),(79,1),(81,1),(87,1),(91,1)}
        15:{2,4,5}:{(4,1),(29,1),(35,1)}
        16:{1,4,5}:{(4,1),(7,1),(37,1),(149,1)}
        17:{3,4,6}:{(4,1),(9,1),(35,1),(37,1),(39,1),(86,1)}
        18:{3,4,5,7}:{(4,1),(36,1),(38,1),(39,1),(40,1),(87,1),(96,1),(143,1),(149,1),(192,1),(197,1)}
        19:{2,3,4,6}:{(5,1),(31,1),(41,1),(42,1),(86,1),(88,1),(98,1),(101,1)}
        20:{1,2,5}:{(5,1),(7,1),(41,1)}
        21:{1,2,4,7}:{(5,1),(6,1),(8,1),(42,1),(44,1),(191,1)}
        22:{2,5,6}:{(9,1),(35,1),(45,1)}
        23:{1,3,5,6}:{(7,1),(9,1),(37,1),(43,1),(46,1),(47,1),(86,1),(95,1),(148,1)}
        24:{1,3,5,7}:{(7,1),(8,1),(38,1),(44,1),(47,1),(87,1),(189,1),(219,1)}
        25:{3,5,7}:{(9,1),(10,1),(39,1),(45,1),(48,1)}
        26:{1,4,6,7}:{(10,1),(48,1),(49,1),(104,1)}
        27:{1,2,4}:{(11,1),(12,1),(50,1),(51,1)}
        28:{1,2,3,7}:{(11,1),(52,1),(53,1),(206,1),(227,1)}
        29:{2,3,5}:{(12,1),(15,1),(51,1),(54,1),(57,1)}
        30:{2,3,4,7}:{(12,1),(52,1),(55,1),(56,1),(58,1),(168,1),(206,1)}
        31:{3,4}:{(13,1),(57,1)}
        32:{1,2,4,5}:{(13,1),(15,1),(16,1),(20,1),(51,1),(57,1),(59,1),(68,1),(105,1)}
        33:{1,2,4,7}:{(13,1),(14,1),(58,1),(61,1),(112,1)}
        34:{1,2,3,6}:{(14,1),(61,1),(72,1),(110,1),(119,1)}
        35:{2,4,6}:{(15,1),(17,1),(22,1),(54,1),(62,1)}
        36:{2,4,5,7}:{(15,1),(18,1),(55,1),(62,1),(63,1),(115,1),(123,1),(168,1)}
        37:{1,4,6}:{(16,1),(17,1),(23,1),(64,1),(175,1)}
        38:{1,4,5,7}:{(16,1),(18,1),(24,1),(64,1),(65,1),(125,1),(170,1),(211,1)}
        39:{3,4,7}:{(17,1),(25,1),(62,1),(64,1),(118,1)}
        40:{3,4,6}:{(18,1),(63,1),(65,1),(67,1),(119,1),(175,1)}
        41:{2,3,5}:{(19,1),(20,1),(57,1),(68,1),(120,1)}
        42:{2,3,4,7}:{(19,1),(21,1),(58,1),(70,1),(118,1),(128,1),(167,1)}
        43:{1,2,5,6}:{(20,1),(22,1),(23,1),(59,1),(69,1),(71,1),(72,1),(157,1)}
        44:{1,2,5,7}:{(20,1),(21,1),(24,1),(70,1),(72,1),(209,1),(227,1)}
        45:{2,5,7}:{(22,1),(25,1),(62,1),(73,1)}
        46:{1,3,5,7}:{(23,1),(25,1),(64,1),(71,1),(74,1),(118,1),(125,1),(174,1)}
        47:{1,3,6}:{(24,1),(65,1),(72,1),(119,1)}
        48:{3,6,7}:{(25,1),(26,1),(73,1)}
        49:{1,5,6,7}:{(26,1),(75,1),(125,1),(180,1)}
        50:{1,3,4}:{(27,1),(31,1),(76,1)}
        51:{1,2,5}:{(27,1),(29,1),(76,1),(78,1)}
        52:{1,2,4,7}:{(27,1),(28,1),(30,1),(77,1),(79,1),(80,1)}
        53:{1,2,3,6}:{(28,1),(80,1),(81,1),(188,1),(221,1)}
        54:{2,3,6}:{(29,1),(35,1),(78,1),(82,1),(86,1)}
        55:{2,3,5,7}:{(29,1),(30,1),(36,1),(79,1),(82,1),(83,1),(84,1),(87,1)}
        56:{2,3,4,6}:{(30,1),(80,1),(83,1),(84,1),(88,1),(140,1),(142,1),(188,1)}
        57:{3,5}:{(31,1),(32,1),(86,1)}
        58:{3,4,7}:{(31,1),(33,1),(87,1),(88,1),(140,1),(197,1)}
        59:{1,2,4,6}:{(32,1),(35,1),(37,1),(43,1),(78,1),(86,1),(89,1),(98,1),(132,1)}
        60:{1,2,4,5,7}:{(32,1),(33,1),(36,1),(38,1),(44,1),(79,1),(87,1),(89,1),(90,1),(91,1),(99,1),(133,1),(139,1),(149,1),(150,1),(187,1),(197,1)}
        61:{1,2,4,6}:{(33,1),(34,1),(88,1),(91,1)}
        62:{2,4,7}:{(35,1),(39,1),(45,1),(82,1)}
        63:{2,4,6}:{(36,1),(40,1),(83,1),(93,1)}
        64:{1,4,7}:{(37,1),(39,1),(46,1),(197,1)}
        65:{1,4,6}:{(38,1),(40,1),(47,1),(95,1)}
        66:{3,4,6,7}:{(39,1),(40,1),(48,1),(92,1),(94,1),(96,1),(104,1),(147,1),(156,1),(192,1),(197,1)}
        67:{3,5,6}:{(40,1),(93,1),(95,1),(96,1),(97,1)}
        68:{2,4,5}:{(41,1),(85,1),(98,1),(149,1)}
        69:{2,3,5,6}:{(41,1),(43,1),(86,1),(98,1),(100,1),(101,1),(144,1),(148,1),(155,1)}
        70:{2,3,5,7}:{(41,1),(42,1),(44,1),(87,1),(99,1),(101,1),(190,1),(220,1)}
        71:{1,2,5,7}:{(43,1),(45,1),(46,1),(89,1),(100,1),(102,1),(181,1)}
        72:{1,2,6}:{(44,1),(47,1),(101,1)}
        73:{2,6,7}:{(45,1),(48,1)}
        74:{1,3,6,7}:{(46,1),(47,1),(48,1),(94,1),(102,1),(147,1),(219,1)}
        75:{3,5,6,7}:{(48,1),(49,1),(96,1),(103,1),(104,1),(156,1)}
        76:{1,3,5}:{(50,1),(51,1),(57,1),(105,1),(106,1)}
        77:{1,3,4,7}:{(50,1),(52,1),(58,1),(107,1),(108,1),(203,1),(206,1)}
        78:{1,2,6}:{(51,1),(54,1),(106,1),(109,1)}
        79:{1,2,5,7}:{(51,1),(52,1),(55,1),(107,1),(109,1),(110,1),(111,1)}
        80:{1,2,4,6}:{(52,1),(53,1),(56,1),(108,1),(110,1),(111,1),(112,1)}
        81:{1,2,3,5}:{(53,1),(111,1),(112,1),(165,1),(209,1),(210,1)}
        82:{2,3,7}:{(54,1),(62,1),(109,1),(118,1)}
        83:{2,3,6}:{(55,1),(63,1),(110,1),(119,1)}
        84:{2,3,5}:{(56,1),(111,1),(115,1),(120,1),(165,1)}
        85:{3,4,5}:{(57,1),(68,1),(105,1),(116,1)}
        86:{3,6}:{(57,1),(59,1),(118,1)}
        87:{3,5,7}:{(57,1),(58,1),(60,1),(118,1),(119,1),(120,1),(165,1),(206,1)}
        88:{3,4,6}:{(58,1),(61,1),(119,1),(120,1),(175,1)}
        89:{1,2,4,7}:{(59,1),(62,1),(64,1),(71,1),(109,1),(118,1),(128,1),(158,1)}
        90:{1,2,4,6}:{(60,1),(63,1),(65,1),(72,1),(110,1),(119,1),(122,1),(129,1),(159,1),(175,1)}
        91:{1,2,5}:{(61,1),(120,1)}
        92:{2,4,6,7}:{(62,1),(63,1),(66,1),(73,1),(113,1),(123,1),(168,1)}
        93:{2,5,6}:{(63,1),(67,1),(123,1)}
        94:{1,4,6,7}:{(64,1),(65,1),(66,1),(74,1),(125,1),(180,1),(211,1)}
        95:{1,5,6}:{(65,1),(67,1),(125,1)}
        96:{3,5,7}:{(66,1),(67,1),(123,1),(125,1),(126,1)}
        97:{4,5,6}:{(67,1),(126,1),(175,1)}
        98:{2,4,6}:{(68,1),(69,1),(116,1),(128,1),(175,1)}
        99:{2,4,5,7}:{(68,1),(70,1),(117,1),(128,1),(129,1),(179,1),(205,1),(226,1)}
       100:{2,3,5,7}:{(69,1),(71,1),(118,1),(128,1),(130,1),(171,1),(174,1),(179,1)}
       101:{2,3,6}:{(70,1),(72,1),(119,1),(129,1)}
       102:{1,2,6,7}:{(71,1),(72,1),(73,1),(74,1),(130,1),(200,1),(227,1)}
       103:{2,5,6,7}:{(73,1),(75,1),(123,1),(131,1)}
       104:{4,6,7}:{(75,1),(126,1)}
       105:{1,4,5}:{(76,1),(85,1),(132,1)}
       106:{1,3,6}:{(76,1),(78,1),(86,1),(132,1),(134,1)}
       107:{1,3,5,7}:{(76,1),(77,1),(79,1),(87,1),(133,1),(134,1),(135,1),(136,1)}
       108:{1,3,4,6}:{(77,1),(80,1),(88,1),(135,1),(136,1),(140,1),(185,1),(188,1)}
       109:{1,2,7}:{(78,1),(82,1),(134,1)}
       110:{1,2,6}:{(79,1),(83,1),(135,1)}
       111:{1,2,5}:{(80,1),(84,1),(136,1)}
       112:{1,2,4}:{(81,1),(140,1)}
       113:{2,3,6,7}:{(82,1),(83,1),(92,1),(137,1),(141,1),(147,1),(156,1)}
       114:{2,3,5,6}:{(83,1),(84,1),(93,1),(138,1),(141,1),(142,1),(148,1),(152,1),(188,1)}
       115:{2,4,5}:{(84,1),(142,1),(143,1),(149,1)}
       116:{3,4,6}:{(85,1),(86,1),(98,1),(132,1),(144,1),(145,1)}
       117:{3,4,5,7}:{(85,1),(87,1),(99,1),(133,1),(145,1),(146,1),(149,1),(186,1),(195,1),(197,1),(217,1)}
       118:{3,7}:{(86,1),(89,1)}
       119:{3,6}:{(87,1),(90,1)}
       120:{3,5}:{(88,1),(91,1),(149,1)}
       121:{1,2,4,6,7}:{(89,1),(90,1),(92,1),(94,1),(102,1),(137,1),(147,1),(150,1),(154,1),(182,1),(187,1),(197,1)}
       122:{1,2,5,6}:{(90,1),(91,1),(93,1),(95,1),(148,1),(150,1),(155,1),(183,1)}
       123:{2,5,7}:{(92,1),(93,1),(96,1)}
       124:{2,4,5,6}:{(93,1),(97,1),(142,1),(151,1),(152,1)}
       125:{1,5,7}:{(94,1),(95,1),(96,1)}
       126:{4,5,7}:{(96,1),(97,1),(104,1),(197,1)}
       127:{2,4,5,6}:{(98,1),(144,1),(153,1),(155,1),(196,1)}
       128:{2,4,7}:{(98,1),(100,1),(145,1),(197,1)}
       129:{2,4,6}:{(99,1),(101,1),(146,1),(155,1)}
       130:{2,3,6,7}:{(100,1),(101,1),(102,1),(147,1),(154,1),(194,1),(220,1)}
       131:{2,4,6,7}:{(103,1),(104,1),(151,1),(156,1)}
       132:{1,4,6}:{(105,1),(106,1),(116,1),(157,1),(158,1)}
       133:{1,4,5,7}:{(105,1),(107,1),(117,1),(158,1),(159,1),(162,1),(201,1),(203,1)}
       134:{1,3,7}:{(106,1),(109,1),(118,1),(158,1)}
       135:{1,3,6}:{(107,1),(110,1),(119,1),(159,1)}
       136:{1,3,5}:{(108,1),(111,1),(120,1),(162,1),(165,1)}
       137:{1,2,6,7}:{(109,1),(110,1),(113,1),(160,1),(163,1),(180,1),(230,1)}
       138:{1,2,5,6}:{(110,1),(111,1),(114,1),(161,1),(163,1),(164,1),(177,1),(225,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(115,1),(162,1),(164,1),(165,1),(170,1),(205,1),(209,1)}
       140:{3,4}:{(112,1),(165,1)}
       141:{2,3,5,7}:{(113,1),(114,1),(123,1),(163,1),(168,1),(174,1),(176,1),(206,1)}
       142:{2,4,6}:{(114,1),(115,1),(168,1),(169,1),(175,1)}
       143:{3,4,5}:{(115,1),(165,1),(169,1),(170,1)}
       144:{3,5,6}:{(116,1),(127,1),(157,1),(171,1)}
       145:{3,4,7}:{(116,1),(118,1),(128,1),(158,1),(171,1)}
       146:{3,4,6}:{(117,1),(119,1),(129,1),(159,1),(173,1),(175,1)}
       147:{3,6,7}:{(118,1),(119,1),(121,1),(174,1),(206,1)}
       148:{3,5,6}:{(119,1),(120,1),(122,1),(174,1),(175,1)}
       149:{4,5}:{(120,1),(175,1)}
       150:{1,2,5,7}:{(121,1),(122,1),(123,1),(125,1),(174,1),(179,1),(201,1)}
       151:{2,4,5,7}:{(123,1),(124,1),(126,1),(131,1),(168,1),(176,1)}
       152:{3,5,6}:{(124,1),(169,1),(176,1),(177,1)}
       153:{2,4,5,7}:{(127,1),(128,1),(171,1),(178,1),(179,1),(213,1)}
       154:{2,4,6,7}:{(128,1),(129,1),(130,1),(172,1),(179,1),(226,1),(230,1)}
       155:{2,5,6}:{(129,1),(173,1),(179,1)}
       156:{3,6,7}:{(131,1),(176,1),(180,1)}
       157:{1,5,6}:{(132,1),(144,1),(181,1)}
       158:{1,4,7}:{(132,1),(134,1),(145,1),(181,1)}
       159:{1,4,6}:{(133,1),(135,1),(146,1),(183,1)}
       160:{1,3,6,7}:{(134,1),(135,1),(137,1),(147,1),(182,1),(184,1),(228,1)}
       161:{1,3,5,6}:{(135,1),(136,1),(138,1),(148,1),(183,1),(184,1),(185,1),(188,1),(216,1)}
       162:{1,4,5}:{(136,1),(149,1),(185,1),(186,1)}
       163:{1,2,5,7}:{(137,1),(138,1),(141,1),(184,1),(187,1),(198,1),(229,1)}
       164:{1,2,4,6}:{(138,1),(139,1),(142,1),(185,1),(187,1),(188,1),(193,1),(218,1),(221,1)}
       165:{3,5}:{(139,1),(140,1),(188,1)}
       166:{1,3,4}:{(140,1),(189,1),(191,1)}
       167:{2,3,4}:{(140,1),(190,1),(191,1)}
       168:{2,4,7}:{(141,1),(142,1),(192,1),(197,1)}
       169:{3,4,6}:{(142,1),(143,1),(152,1),(188,1),(192,1),(193,1)}
       170:{1,4,5}:{(143,1),(189,1),(193,1)}
       171:{3,5,7}:{(144,1),(145,1),(153,1),(181,1),(194,1)}
       172:{3,4,6,7}:{(145,1),(146,1),(147,1),(154,1),(182,1),(194,1),(195,1),(197,1),(217,1),(222,1),(228,1)}
       173:{3,5,6}:{(146,1),(155,1),(183,1),(195,1),(196,1)}
       174:{3,5,7}:{(147,1),(148,1),(150,1),(197,1)}
       175:{4,6}:{(148,1),(149,1),(197,1)}
       176:{3,5,7}:{(151,1),(152,1),(156,1),(192,1),(198,1)}
       177:{1,5,6}:{(152,1),(193,1),(198,1)}
       178:{2,4,6,7}:{(153,1),(194,1),(199,1),(222,1)}
       179:{2,5,7}:{(154,1),(155,1),(195,1)}
       180:{1,6,7}:{(156,1),(198,1)}
       181:{1,5,7}:{(157,1),(158,1),(171,1),(200,1)}
       182:{1,4,6,7}:{(158,1),(159,1),(160,1),(172,1),(200,1),(201,1),(203,1)}
       183:{1,5,6}:{(159,1),(173,1),(201,1)}
       184:{1,3,5,7}:{(160,1),(161,1),(163,1),(174,1),(201,1),(203,1),(206,1),(224,1)}
       185:{1,4,6}:{(161,1),(162,1),(175,1),(203,1),(204,1)}
       186:{3,4,5}:{(162,1),(165,1),(204,1),(205,1)}
       187:{1,2,4,7}:{(163,1),(164,1),(168,1),(203,1),(206,1),(211,1),(226,1),(227,1)}
       188:{3,6}:{(164,1),(165,1),(206,1)}
       189:{1,3,5}:{(165,1),(166,1),(170,1),(207,1),(209,1)}
       190:{2,3,5}:{(165,1),(167,1),(205,1),(208,1),(209,1)}
       191:{1,2,4}:{(166,1),(167,1),(209,1),(210,1)}
       192:{3,4,7}:{(168,1),(169,1),(176,1),(206,1),(211,1)}
       193:{1,4,6}:{(169,1),(170,1),(177,1),(207,1),(211,1)}
       194:{3,6,7}:{(171,1),(178,1),(200,1)}
       195:{3,5,7}:{(172,1),(173,1),(179,1),(201,1),(213,1)}
       196:{4,5,6}:{(173,1),(175,1),(213,1)}
       197:{4,7}:{(174,1),(175,1)}
       198:{1,5,7}:{(176,1),(177,1),(180,1),(211,1)}
       199:{2,5,6,7}:{(178,1),(179,1),(212,1),(230,1)}
       200:{1,6,7}:{(181,1),(194,1)}
       201:{1,5,7}:{(182,1),(183,1),(195,1)}
       202:{1,4,5,6}:{(183,1),(185,1),(196,1),(215,1),(216,1)}
       203:{1,4,7}:{(184,1),(185,1),(197,1),(217,1)}
       204:{3,4,6}:{(185,1),(186,1),(188,1),(216,1),(217,1),(218,1)}
       205:{2,4,5}:{(186,1),(190,1),(218,1)}
       206:{3,7}:{(187,1),(188,1)}
       207:{1,3,6}:{(188,1),(189,1),(193,1),(219,1),(221,1)}
       208:{2,3,6}:{(188,1),(190,1),(218,1),(220,1),(221,1)}
       209:{1,2,5}:{(189,1),(190,1),(191,1),(221,1)}
       210:{1,2,3}:{(191,1)}
       211:{1,4,7}:{(192,1),(193,1),(198,1),(219,1)}
       212:{3,5,6,7}:{(194,1),(195,1),(199,1),(214,1),(222,1),(228,1)}
       213:{4,5,7}:{(195,1),(196,1),(197,1),(222,1)}
       214:{1,5,6,7}:{(200,1),(201,1),(212,1),(223,1)}
       215:{1,4,5,7}:{(201,1),(202,1),(203,1),(213,1),(223,1),(224,1)}
       216:{3,5,6}:{(202,1),(204,1),(224,1),(225,1)}
       217:{3,4,7}:{(203,1),(204,1),(206,1),(224,1),(226,1)}
       218:{2,4,6}:{(204,1),(205,1),(208,1),(225,1),(226,1)}
       219:{1,3,7}:{(206,1),(207,1),(211,1),(227,1)}
       220:{2,3,7}:{(206,1),(208,1),(226,1),(227,1)}
       221:{1,2,6}:{(207,1),(208,1),(209,1),(227,1)}
       222:{4,6,7}:{(212,1),(213,1)}
       223:{1,4,6,7}:{(214,1),(215,1),(222,1),(228,1)}
       224:{3,5,7}:{(215,1),(216,1),(217,1),(228,1),(229,1)}
       225:{2,5,6}:{(216,1),(218,1),(229,1)}
       226:{2,4,7}:{(217,1),(218,1),(220,1),(229,1)}
       227:{1,2,7}:{(219,1),(220,1),(221,1)}
       228:{3,6,7}:{(223,1),(224,1),(230,1)}
       229:{2,5,7}:{(224,1),(225,1),(226,1),(230,1)}
       230:{2,6,7}:{(228,1),(229,1)}

1363 :   0:{1,2,4,5,6}:{(1,1),(2,1),(9,1),(10,1),(12,1),(36,1),(75,1),(76,1),(77,1),(78,1),(102,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(55,1),(88,1),(100,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(23,1),(24,1),(26,1),(62,1),(63,1),(64,1)}
         3:{3,4,6}:{(1,1),(8,1),(9,1),(10,1),(11,1),(40,1),(73,1)}
         4:{1,3,5,6}:{(1,1),(9,1),(12,1),(13,1),(30,1),(40,1),(67,1),(69,1),(76,1),(94,1),(96,1),(103,1)}
         5:{2,3,5,6}:{(1,1),(10,1),(12,1),(14,1),(33,1),(40,1),(65,1),(71,1),(77,1),(92,1),(96,1),(102,1)}
         6:{3,5,7}:{(1,1),(2,1),(11,1),(15,1)}
         7:{1,2,4,6,7}:{(2,1),(15,1),(16,1),(42,1),(43,1),(45,1),(46,1),(75,1)}
         8:{3,4,5}:{(3,1),(19,1),(20,1),(55,1),(100,1)}
         9:{1,4,6}:{(3,1),(4,1),(19,1),(23,1),(84,1),(101,1)}
        10:{2,4,6}:{(3,1),(5,1),(20,1),(24,1),(81,1),(101,1)}
        11:{3,4,7}:{(3,1),(6,1),(23,1),(24,1),(60,1)}
        12:{1,2,5,6}:{(4,1),(5,1),(22,1),(26,1),(47,1),(51,1),(83,1),(86,1)}
        13:{1,3,5,7}:{(4,1),(6,1),(23,1),(26,1),(27,1),(60,1),(62,1),(90,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(24,1),(26,1),(28,1),(60,1),(63,1),(90,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,2,5,6,7}:{(7,1),(29,1),(62,1),(63,1),(89,1)}
        17:{1,3,4,6}:{(9,1),(30,1),(31,1),(32,1),(40,1),(67,1),(73,1),(95,1)}
        18:{2,3,4,6}:{(10,1),(33,1),(34,1),(35,1),(40,1),(71,1),(73,1),(95,1)}
        19:{1,4,5}:{(8,1),(9,1),(30,1),(103,1),(104,1)}
        20:{2,4,5}:{(8,1),(10,1),(33,1),(102,1),(104,1)}
        21:{3,4,5,7}:{(8,1),(11,1),(37,1),(38,1),(39,1),(44,1),(74,1),(97,1),(104,1)}
        22:{1,2,4,6}:{(9,1),(10,1),(12,1),(36,1),(40,1),(41,1)}
        23:{1,4,7}:{(9,1),(11,1),(13,1),(97,1)}
        24:{2,4,7}:{(10,1),(11,1),(14,1),(97,1)}
        25:{3,4,6,7}:{(11,1),(15,1),(39,1),(42,1),(43,1),(44,1),(46,1),(79,1),(95,1),(97,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(14,1),(41,1),(45,1)}
        27:{1,3,6,7}:{(13,1),(15,1),(42,1),(45,1),(67,1),(79,1),(94,1)}
        28:{2,3,6,7}:{(14,1),(15,1),(43,1),(45,1),(71,1),(79,1),(92,1)}
        29:{3,5,6,7}:{(15,1),(16,1),(44,1),(46,1),(96,1)}
        30:{1,3,5}:{(17,1),(19,1),(47,1),(55,1),(100,1)}
        31:{1,2,4,6}:{(17,1),(47,1),(49,1),(50,1),(81,1),(83,1),(98,1)}
        32:{1,3,4,7}:{(17,1),(23,1),(48,1),(50,1),(60,1),(87,1)}
        33:{2,3,5}:{(18,1),(20,1),(51,1),(55,1),(100,1)}
        34:{1,2,4,6}:{(18,1),(51,1),(53,1),(54,1),(84,1),(86,1),(99,1)}
        35:{2,3,4,7}:{(18,1),(24,1),(52,1),(54,1),(60,1),(87,1)}
        36:{1,2,4,5}:{(19,1),(20,1),(22,1),(47,1),(51,1),(55,1),(81,1),(84,1)}
        37:{1,4,5,7}:{(19,1),(21,1),(23,1),(48,1),(57,1),(62,1)}
        38:{2,4,5,7}:{(20,1),(21,1),(24,1),(52,1),(58,1),(63,1)}
        39:{3,4,6}:{(21,1),(57,1),(58,1),(59,1),(88,1),(101,1)}
        40:{3,6}:{(22,1),(55,1),(60,1)}
        41:{1,2,4,7}:{(22,1),(23,1),(24,1),(26,1),(60,1)}
        42:{1,4,6,7}:{(23,1),(25,1),(27,1),(57,1),(62,1),(99,1)}
        43:{2,4,6,7}:{(24,1),(25,1),(28,1),(58,1),(63,1),(98,1)}
        44:{3,5,7}:{(25,1),(59,1),(62,1),(63,1),(64,1),(100,1)}
        45:{1,2,6,7}:{(26,1),(27,1),(28,1),(83,1),(86,1)}
        46:{4,6,7}:{(29,1),(64,1),(101,1)}
        47:{1,2,5}:{(30,1),(31,1),(65,1),(102,1)}
        48:{1,3,5,7}:{(30,1),(32,1),(37,1),(66,1),(67,1),(74,1)}
        49:{2,3,6}:{(31,1),(40,1),(65,1),(68,1)}
        50:{1,2,4,7}:{(31,1),(32,1),(66,1),(68,1),(91,1)}
        51:{1,2,5}:{(33,1),(34,1),(69,1),(103,1)}
        52:{2,3,5,7}:{(33,1),(35,1),(38,1),(70,1),(71,1),(74,1)}
        53:{1,3,6}:{(34,1),(40,1),(69,1),(72,1)}
        54:{1,2,4,7}:{(34,1),(35,1),(70,1),(72,1),(93,1)}
        55:{3,5}:{(36,1),(40,1),(73,1)}
        56:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(41,1),(66,1),(70,1),(74,1),(75,1),(80,1),(91,1),(93,1),(97,1),(102,1),(103,1),(104,1)}
        57:{1,4,6}:{(37,1),(39,1),(67,1),(76,1)}
        58:{2,4,6}:{(38,1),(39,1),(71,1),(77,1)}
        59:{3,5,6}:{(39,1),(44,1),(76,1),(77,1),(78,1)}
        60:{3,7}:{(40,1),(41,1)}
        61:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(45,1),(75,1),(79,1),(80,1),(97,1)}
        62:{1,5,7}:{(42,1),(44,1),(76,1),(103,1)}
        63:{2,5,7}:{(43,1),(44,1),(77,1),(102,1)}
        64:{4,5,7}:{(44,1),(46,1),(78,1),(97,1),(104,1)}
        65:{2,3,5}:{(47,1),(49,1),(55,1),(81,1)}
        66:{1,2,5,7}:{(47,1),(48,1),(50,1),(82,1),(83,1)}
        67:{1,3,6}:{(48,1),(57,1),(83,1),(88,1)}
        68:{2,3,7}:{(49,1),(50,1),(60,1)}
        69:{1,3,5}:{(51,1),(53,1),(55,1),(84,1)}
        70:{1,2,5,7}:{(51,1),(52,1),(54,1),(85,1),(86,1)}
        71:{2,3,6}:{(52,1),(58,1),(86,1),(88,1)}
        72:{1,3,7}:{(53,1),(54,1),(60,1)}
        73:{3,4}:{(55,1),(81,1),(84,1)}
        74:{3,5,7}:{(55,1),(56,1),(60,1),(87,1),(88,1),(100,1)}
        75:{1,2,4,6}:{(56,1),(57,1),(58,1),(83,1),(86,1),(88,1),(89,1),(98,1),(99,1),(101,1)}
        76:{1,5,6}:{(57,1),(59,1),(62,1)}
        77:{2,5,6}:{(58,1),(59,1),(63,1)}
        78:{4,5,6}:{(59,1),(64,1),(101,1)}
        79:{3,6,7}:{(60,1),(61,1),(88,1),(90,1)}
        80:{1,2,5,7}:{(61,1),(62,1),(63,1),(89,1),(90,1)}
        81:{2,4}:{(65,1),(73,1)}
        82:{2,3,5,7}:{(65,1),(66,1),(68,1),(74,1),(91,1),(92,1),(102,1)}
        83:{1,2,6}:{(66,1),(67,1),(92,1)}
        84:{1,4}:{(69,1),(73,1)}
        85:{1,3,5,7}:{(69,1),(70,1),(72,1),(74,1),(93,1),(94,1),(103,1)}
        86:{1,2,6}:{(70,1),(71,1),(94,1)}
        87:{3,4,7}:{(73,1),(74,1),(91,1),(93,1),(95,1),(97,1)}
        88:{3,6}:{(74,1),(75,1)}
        89:{1,2,5,6}:{(75,1),(76,1),(77,1),(80,1),(96,1),(102,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{2,4,7}:{(81,1),(82,1),(87,1),(98,1)}
        92:{2,3,6}:{(82,1),(83,1),(88,1),(98,1)}
        93:{1,4,7}:{(84,1),(85,1),(87,1),(99,1)}
        94:{1,3,6}:{(85,1),(86,1),(88,1),(99,1)}
        95:{3,4,6}:{(87,1),(88,1),(98,1),(99,1),(100,1),(101,1)}
        96:{3,5,6}:{(88,1),(89,1),(90,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{2,4,6}:{(91,1),(92,1),(95,1),(102,1)}
        99:{1,4,6}:{(93,1),(94,1),(95,1),(103,1)}
       100:{3,5}:{(95,1),(102,1),(103,1),(104,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{2,5}:{(98,1),(100,1)}
       103:{1,5}:{(99,1),(100,1)}
       104:{4,5}:{(100,1),(101,1)}

1364 :   0:{3,4,5,6}:{(1,1),(2,1),(3,1),(25,1),(158,1),(169,1),(205,1)}
         1:{3,4,5,7}:{(0,1),(9,1),(10,1),(11,1),(41,1),(139,1)}
         2:{1,4,5,6}:{(0,1),(6,1),(10,1),(178,1),(214,1)}
         3:{2,4,5,6}:{(0,1),(7,1),(11,1),(171,1),(211,1)}
         4:{2,3,4,5}:{(13,1),(14,1),(61,1),(88,1),(143,1)}
         5:{1,3,4,5}:{(15,1),(16,1),(61,1),(95,1),(151,1)}
         6:{1,3,5,6}:{(2,1),(15,1),(17,1),(18,1),(25,1),(151,1),(202,1)}
         7:{2,3,5,6}:{(3,1),(13,1),(19,1),(20,1),(25,1),(143,1),(197,1)}
         8:{4,5,6,7}:{(21,1),(108,1),(225,1)}
         9:{3,4,6,7}:{(1,1),(21,1),(22,1),(23,1),(59,1),(108,1),(205,1)}
        10:{1,4,5,7}:{(1,1),(2,1),(17,1),(22,1)}
        11:{2,4,5,7}:{(1,1),(3,1),(19,1),(23,1)}
        12:{1,2,4,5,6}:{(2,1),(3,1),(18,1),(20,1),(24,1),(25,1),(54,1),(57,1),(101,1),(163,1),(165,1),(167,1),(169,1)}
        13:{2,3,4,6}:{(4,1),(7,1),(26,1),(27,1),(42,1)}
        14:{1,2,4,5}:{(4,1),(27,1),(28,1),(65,1),(79,1),(114,1)}
        15:{1,3,4,6}:{(5,1),(6,1),(29,1),(30,1),(42,1)}
        16:{1,2,4,5}:{(5,1),(30,1),(31,1),(70,1),(76,1),(122,1)}
        17:{1,3,5,7}:{(6,1),(10,1),(29,1),(32,1),(33,1),(41,1)}
        18:{1,2,5,6}:{(6,1),(30,1),(33,1),(34,1),(122,1),(181,1)}
        19:{2,3,5,7}:{(7,1),(11,1),(26,1),(35,1),(36,1),(41,1)}
        20:{1,2,5,6}:{(7,1),(27,1),(36,1),(37,1),(114,1),(174,1)}
        21:{3,5,6,7}:{(8,1),(9,1),(38,1),(39,1),(217,1)}
        22:{1,4,6,7}:{(9,1),(10,1),(32,1),(38,1),(214,1)}
        23:{2,4,6,7}:{(9,1),(11,1),(35,1),(39,1),(211,1)}
        24:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(33,1),(36,1),(40,1),(41,1),(75,1),(78,1),(133,1),(136,1),(139,1)}
        25:{3,5,6}:{(12,1),(41,1),(42,1),(129,1),(188,1)}
        26:{2,3,4,7}:{(13,1),(19,1),(43,1),(60,1)}
        27:{1,2,4,6}:{(13,1),(14,1),(20,1),(43,1),(44,1),(57,1)}
        28:{1,3,5}:{(14,1),(44,1),(46,1)}
        29:{1,3,4,7}:{(15,1),(17,1),(47,1),(60,1)}
        30:{1,2,4,6}:{(15,1),(16,1),(18,1),(47,1),(48,1),(54,1)}
        31:{2,3,5}:{(16,1),(48,1),(50,1)}
        32:{1,3,6,7}:{(17,1),(22,1),(52,1),(59,1),(202,1)}
        33:{1,2,5,7}:{(17,1),(18,1),(47,1),(52,1),(53,1)}
        34:{2,3,5,6}:{(18,1),(25,1),(48,1),(53,1),(54,1),(94,1),(154,1),(165,1)}
        35:{2,3,6,7}:{(19,1),(23,1),(55,1),(59,1),(197,1)}
        36:{1,2,5,7}:{(19,1),(20,1),(43,1),(55,1),(56,1)}
        37:{1,3,5,6}:{(20,1),(25,1),(44,1),(56,1),(57,1),(87,1),(146,1),(167,1)}
        38:{1,5,6,7}:{(21,1),(22,1),(223,1)}
        39:{2,5,6,7}:{(21,1),(23,1),(221,1)}
        40:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(52,1),(55,1),(58,1),(59,1),(102,1),(105,1),(108,1),(163,1)}
        41:{3,5,7}:{(24,1),(25,1),(59,1),(60,1)}
        42:{3,4,6}:{(25,1),(54,1),(57,1),(60,1),(61,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(36,1),(63,1),(78,1)}
        44:{1,3,6}:{(27,1),(28,1),(63,1)}
        45:{1,2,3,5}:{(28,1),(62,1),(65,1),(114,1),(117,1)}
        46:{1,3,4}:{(28,1),(65,1)}
        47:{1,2,4,7}:{(29,1),(30,1),(33,1),(68,1),(75,1)}
        48:{2,3,6}:{(30,1),(31,1),(68,1)}
        49:{1,2,3,5}:{(31,1),(67,1),(70,1),(122,1),(125,1)}
        50:{2,3,4}:{(31,1),(70,1)}
        51:{1,2,3,5,6}:{(34,1),(37,1),(62,1),(67,1),(72,1),(73,1),(114,1),(122,1),(129,1),(173,1),(174,1),(180,1),(181,1),(188,1),(190,1)}
        52:{1,2,6,7}:{(32,1),(33,1),(74,1),(181,1)}
        53:{2,3,5,7}:{(33,1),(34,1),(41,1),(68,1),(74,1),(75,1),(133,1)}
        54:{2,4,6}:{(34,1),(42,1),(75,1),(76,1)}
        55:{1,2,6,7}:{(35,1),(36,1),(77,1),(174,1)}
        56:{1,3,5,7}:{(36,1),(37,1),(41,1),(63,1),(77,1),(78,1),(136,1)}
        57:{1,4,6}:{(37,1),(42,1),(78,1),(79,1)}
        58:{1,2,5,6,7}:{(38,1),(39,1),(40,1),(80,1),(133,1),(136,1),(190,1)}
        59:{3,6,7}:{(40,1),(41,1),(188,1)}
        60:{3,4,7}:{(41,1),(42,1),(75,1),(78,1)}
        61:{3,4,5}:{(42,1),(76,1),(79,1),(129,1)}
        62:{1,2,3,6}:{(44,1),(45,1),(84,1),(85,1),(148,1)}
        63:{1,3,7}:{(43,1),(44,1)}
        64:{1,3,4,6}:{(44,1),(46,1),(57,1),(85,1),(86,1),(87,1),(98,1),(146,1)}
        65:{1,2,4}:{(45,1),(46,1),(88,1)}
        66:{1,3,4,5}:{(46,1),(87,1),(89,1),(90,1),(158,1)}
        67:{1,2,3,6}:{(48,1),(49,1),(91,1),(92,1),(156,1)}
        68:{2,3,7}:{(47,1),(48,1)}
        69:{2,3,4,6}:{(48,1),(50,1),(54,1),(92,1),(93,1),(94,1),(98,1),(154,1)}
        70:{1,2,4}:{(49,1),(50,1),(95,1)}
        71:{2,3,4,5}:{(50,1),(94,1),(96,1),(97,1),(158,1)}
        72:{1,2,3,5,7}:{(51,1),(53,1),(56,1),(84,1),(91,1),(99,1),(100,1),(144,1),(152,1),(160,1),(162,1),(198,1),(203,1)}
        73:{1,2,4,6}:{(51,1),(54,1),(57,1),(98,1),(100,1),(101,1),(196,1),(201,1)}
        74:{2,3,6,7}:{(52,1),(53,1),(59,1),(102,1),(154,1)}
        75:{2,4,7}:{(53,1),(54,1),(60,1)}
        76:{2,4,5}:{(54,1),(61,1),(94,1)}
        77:{1,3,6,7}:{(55,1),(56,1),(59,1),(105,1),(146,1)}
        78:{1,4,7}:{(56,1),(57,1),(60,1)}
        79:{1,4,5}:{(57,1),(61,1),(87,1)}
        80:{3,5,6,7}:{(58,1),(59,1),(108,1),(109,1),(208,1)}
        81:{3,4,6,7}:{(59,1),(60,1),(102,1),(105,1),(108,1),(109,1),(110,1)}
        82:{3,4,5,7}:{(60,1),(61,1),(103,1),(106,1),(109,1),(110,1),(160,1),(207,1)}
        83:{3,4,5,6}:{(61,1),(104,1),(107,1),(110,1),(111,1),(161,1),(225,1)}
        84:{1,2,3,7}:{(62,1),(63,1),(113,1),(177,1)}
        85:{1,2,4,6}:{(62,1),(64,1),(65,1),(112,1),(113,1),(114,1),(174,1)}
        86:{1,3,4,7}:{(63,1),(64,1),(78,1),(113,1),(115,1),(128,1)}
        87:{1,3,5}:{(64,1),(79,1),(114,1),(129,1)}
        88:{2,3,4}:{(65,1),(117,1)}
        89:{1,2,4,5}:{(65,1),(66,1),(114,1),(117,1),(118,1),(171,1)}
        90:{1,3,4,6}:{(66,1),(116,1),(118,1),(119,1),(186,1)}
        91:{1,2,3,7}:{(67,1),(68,1),(121,1),(184,1)}
        92:{1,2,4,6}:{(67,1),(69,1),(70,1),(120,1),(121,1),(122,1),(181,1)}
        93:{2,3,4,7}:{(68,1),(69,1),(75,1),(121,1),(123,1),(128,1)}
        94:{2,3,5}:{(69,1),(76,1),(122,1),(129,1)}
        95:{1,3,4}:{(70,1),(125,1)}
        96:{1,2,4,5}:{(70,1),(71,1),(122,1),(125,1),(126,1),(178,1)}
        97:{2,3,4,6}:{(71,1),(124,1),(126,1),(127,1),(186,1)}
        98:{3,4,6}:{(73,1),(128,1),(129,1),(188,1)}
        99:{1,2,3,6,7}:{(72,1),(74,1),(77,1),(130,1),(174,1),(181,1),(188,1),(213,1),(216,1)}
       100:{1,2,4,7}:{(72,1),(73,1),(75,1),(78,1),(128,1),(212,1),(215,1)}
       101:{1,2,4,5}:{(73,1),(76,1),(79,1),(114,1),(122,1),(129,1),(171,1),(178,1)}
       102:{2,4,6,7}:{(74,1),(75,1),(81,1),(133,1),(134,1)}
       103:{2,4,5,7}:{(75,1),(76,1),(82,1),(123,1),(133,1),(134,1)}
       104:{2,4,5,6}:{(76,1),(83,1),(124,1),(134,1),(135,1)}
       105:{1,4,6,7}:{(77,1),(78,1),(81,1),(136,1),(137,1)}
       106:{1,4,5,7}:{(78,1),(79,1),(82,1),(115,1),(136,1),(137,1)}
       107:{1,4,5,6}:{(79,1),(83,1),(116,1),(137,1),(138,1)}
       108:{4,6,7}:{(80,1),(139,1),(219,1)}
       109:{3,5,7}:{(81,1),(133,1),(136,1),(139,1),(140,1)}
       110:{3,4,6}:{(82,1),(134,1),(137,1),(140,1),(188,1),(219,1)}
       111:{3,4,5,7}:{(83,1),(135,1),(138,1),(141,1),(189,1),(230,1)}
       112:{2,3,4,6}:{(85,1),(88,1),(98,1),(142,1),(143,1),(148,1),(196,1),(197,1)}
       113:{1,2,4,7}:{(84,1),(85,1),(86,1),(142,1),(144,1)}
       114:{1,2,5}:{(85,1),(87,1),(143,1)}
       115:{1,3,5,7}:{(86,1),(87,1),(106,1),(144,1),(146,1),(160,1)}
       116:{1,3,5,6}:{(87,1),(90,1),(107,1),(145,1),(146,1),(147,1),(161,1)}
       117:{2,3,5}:{(88,1),(89,1),(148,1)}
       118:{1,2,4,6}:{(89,1),(90,1),(145,1),(148,1),(149,1),(196,1)}
       119:{1,3,4,7}:{(90,1),(147,1),(149,1),(206,1)}
       120:{1,3,4,6}:{(92,1),(95,1),(98,1),(150,1),(151,1),(156,1),(201,1),(202,1)}
       121:{1,2,4,7}:{(91,1),(92,1),(93,1),(150,1),(152,1)}
       122:{1,2,5}:{(92,1),(94,1),(151,1)}
       123:{2,3,5,7}:{(93,1),(94,1),(103,1),(152,1),(154,1),(160,1)}
       124:{2,3,5,6}:{(94,1),(97,1),(104,1),(153,1),(154,1),(155,1),(161,1)}
       125:{1,3,5}:{(95,1),(96,1),(156,1)}
       126:{1,2,4,6}:{(96,1),(97,1),(153,1),(156,1),(157,1),(201,1)}
       127:{2,3,4,7}:{(97,1),(155,1),(157,1),(206,1)}
       128:{3,4,7}:{(98,1),(100,1),(160,1)}
       129:{3,5}:{(98,1),(101,1)}
       130:{1,2,4,6,7}:{(99,1),(100,1),(102,1),(105,1),(159,1),(162,1),(163,1),(222,1),(224,1)}
       131:{1,2,4,5,7}:{(100,1),(101,1),(103,1),(106,1),(144,1),(152,1),(160,1),(162,1),(163,1),(195,1),(200,1),(207,1)}
       132:{1,2,4,5,6}:{(101,1),(104,1),(107,1),(145,1),(153,1),(161,1),(163,1),(164,1),(196,1),(201,1),(221,1),(223,1),(225,1)}
       133:{2,5,7}:{(102,1),(109,1),(165,1)}
       134:{2,4,6}:{(103,1),(110,1),(154,1),(165,1)}
       135:{2,4,5,7}:{(104,1),(111,1),(155,1),(166,1)}
       136:{1,5,7}:{(105,1),(109,1),(167,1)}
       137:{1,4,6}:{(106,1),(110,1),(146,1),(167,1)}
       138:{1,4,5,7}:{(107,1),(111,1),(147,1),(168,1)}
       139:{4,5,7}:{(108,1),(109,1),(169,1)}
       140:{3,5,6}:{(109,1),(110,1),(165,1),(167,1),(169,1)}
       141:{3,4,6,7}:{(110,1),(111,1),(166,1),(168,1),(170,1),(209,1),(227,1)}
       142:{2,3,4,7}:{(112,1),(113,1),(128,1),(172,1),(177,1),(212,1)}
       143:{2,3,5}:{(112,1),(114,1),(129,1),(171,1)}
       144:{1,2,5,7}:{(113,1),(114,1),(115,1),(172,1),(174,1)}
       145:{1,2,5,6}:{(114,1),(116,1),(118,1),(173,1),(174,1),(175,1)}
       146:{1,3,6}:{(115,1),(137,1),(174,1),(188,1)}
       147:{1,3,5,7}:{(116,1),(119,1),(138,1),(175,1),(176,1),(189,1)}
       148:{2,3,6}:{(117,1),(118,1),(177,1)}
       149:{1,2,4,7}:{(118,1),(119,1),(175,1),(177,1),(212,1)}
       150:{1,3,4,7}:{(120,1),(121,1),(128,1),(179,1),(184,1),(215,1)}
       151:{1,3,5}:{(120,1),(122,1),(129,1),(178,1)}
       152:{1,2,5,7}:{(121,1),(122,1),(123,1),(179,1),(181,1)}
       153:{1,2,5,6}:{(122,1),(124,1),(126,1),(180,1),(181,1),(182,1)}
       154:{2,3,6}:{(123,1),(134,1),(181,1),(188,1)}
       155:{2,3,5,7}:{(124,1),(127,1),(135,1),(182,1),(183,1),(189,1)}
       156:{1,3,6}:{(125,1),(126,1),(184,1)}
       157:{1,2,4,7}:{(126,1),(127,1),(182,1),(184,1),(215,1)}
       158:{3,4,5}:{(129,1),(171,1),(178,1),(186,1)}
       159:{3,4,6,7}:{(128,1),(130,1),(187,1),(188,1),(219,1)}
       160:{3,5,7}:{(128,1),(129,1),(131,1),(188,1)}
       161:{3,5,6}:{(129,1),(132,1),(186,1),(188,1),(189,1)}
       162:{1,2,5,7}:{(130,1),(133,1),(136,1),(187,1),(190,1),(228,1),(229,1)}
       163:{1,2,4,6}:{(131,1),(134,1),(137,1),(174,1),(181,1),(188,1),(190,1),(211,1),(214,1),(219,1)}
       164:{1,2,4,5,7}:{(132,1),(135,1),(138,1),(175,1),(182,1),(189,1),(191,1),(212,1),(215,1),(228,1),(229,1),(230,1)}
       165:{2,5,6}:{(133,1),(134,1),(140,1)}
       166:{2,4,6,7}:{(134,1),(135,1),(141,1),(183,1),(192,1)}
       167:{1,5,6}:{(136,1),(137,1),(140,1)}
       168:{1,4,6,7}:{(137,1),(138,1),(141,1),(176,1),(193,1)}
       169:{4,5,6}:{(139,1),(140,1),(219,1)}
       170:{3,5,6,7}:{(140,1),(141,1),(192,1),(193,1),(194,1)}
       171:{2,4,5}:{(143,1),(158,1),(196,1)}
       172:{2,3,5,7}:{(142,1),(143,1),(144,1),(160,1),(195,1),(197,1)}
       173:{2,3,5,6}:{(143,1),(145,1),(148,1),(161,1),(196,1),(197,1),(198,1),(221,1)}
       174:{1,2,6}:{(144,1),(146,1),(197,1)}
       175:{1,2,5,7}:{(145,1),(147,1),(149,1),(198,1),(199,1)}
       176:{1,3,6,7}:{(146,1),(147,1),(168,1),(199,1),(209,1)}
       177:{2,3,7}:{(148,1),(149,1)}
       178:{1,4,5}:{(151,1),(158,1),(201,1)}
       179:{1,3,5,7}:{(150,1),(151,1),(152,1),(160,1),(200,1),(202,1)}
       180:{1,3,5,6}:{(151,1),(153,1),(156,1),(161,1),(201,1),(202,1),(203,1),(223,1)}
       181:{1,2,6}:{(152,1),(154,1),(202,1)}
       182:{1,2,5,7}:{(153,1),(155,1),(157,1),(203,1),(204,1)}
       183:{2,3,6,7}:{(154,1),(155,1),(166,1),(204,1),(209,1)}
       184:{1,3,7}:{(156,1),(157,1)}
       185:{3,4,5,7}:{(158,1),(160,1),(195,1),(200,1),(205,1),(206,1),(207,1),(226,1)}
       186:{3,4,6}:{(158,1),(161,1),(196,1),(201,1),(206,1)}
       187:{3,5,7}:{(159,1),(162,1),(207,1),(208,1)}
       188:{3,6}:{(160,1),(163,1)}
       189:{3,5,7}:{(161,1),(164,1),(206,1),(209,1)}
       190:{1,2,5,6}:{(162,1),(163,1),(165,1),(167,1),(208,1),(221,1),(223,1)}
       191:{1,2,4,6,7}:{(163,1),(164,1),(166,1),(168,1),(199,1),(204,1),(209,1),(210,1),(222,1),(224,1),(227,1)}
       192:{2,5,6,7}:{(165,1),(166,1),(170,1)}
       193:{1,5,6,7}:{(167,1),(168,1),(170,1)}
       194:{4,5,6,7}:{(169,1),(170,1),(227,1)}
       195:{2,4,5,7}:{(171,1),(172,1),(185,1),(211,1),(212,1),(228,1)}
       196:{2,4,6}:{(171,1),(173,1),(186,1),(212,1)}
       197:{2,3,6}:{(172,1),(174,1),(188,1),(211,1)}
       198:{2,3,5,7}:{(173,1),(175,1),(177,1),(189,1),(212,1),(213,1),(228,1)}
       199:{1,2,6,7}:{(174,1),(175,1),(176,1),(213,1)}
       200:{1,4,5,7}:{(178,1),(179,1),(185,1),(214,1),(215,1),(229,1)}
       201:{1,4,6}:{(178,1),(180,1),(186,1),(215,1)}
       202:{1,3,6}:{(179,1),(181,1),(188,1),(214,1)}
       203:{1,3,5,7}:{(180,1),(182,1),(184,1),(189,1),(215,1),(216,1),(229,1)}
       204:{1,2,6,7}:{(181,1),(182,1),(183,1),(216,1)}
       205:{3,4,6}:{(185,1),(188,1),(211,1),(214,1),(217,1),(219,1)}
       206:{3,4,7}:{(186,1),(189,1),(212,1),(215,1)}
       207:{4,5,7}:{(187,1),(219,1)}
       208:{3,5,6}:{(187,1),(188,1),(190,1),(219,1)}
       209:{3,6,7}:{(188,1),(189,1),(191,1)}
       210:{1,2,5,6,7}:{(190,1),(191,1),(192,1),(193,1),(220,1),(228,1),(229,1)}
       211:{2,4,6}:{(195,1),(197,1),(205,1),(221,1)}
       212:{2,4,7}:{(196,1),(198,1),(206,1)}
       213:{2,3,6,7}:{(197,1),(198,1),(199,1),(209,1),(222,1)}
       214:{1,4,6}:{(200,1),(202,1),(205,1),(223,1)}
       215:{1,4,7}:{(201,1),(203,1),(206,1)}
       216:{1,3,6,7}:{(202,1),(203,1),(204,1),(209,1),(224,1)}
       217:{3,5,6}:{(205,1),(221,1),(223,1),(225,1),(226,1)}
       218:{3,4,6,7}:{(205,1),(206,1),(209,1),(222,1),(224,1),(226,1),(227,1)}
       219:{4,6}:{(207,1),(208,1)}
       220:{3,5,6,7}:{(208,1),(209,1),(210,1),(226,1),(227,1)}
       221:{2,5,6}:{(211,1),(217,1),(228,1)}
       222:{2,4,6,7}:{(211,1),(212,1),(213,1),(218,1),(228,1)}
       223:{1,5,6}:{(214,1),(217,1),(229,1)}
       224:{1,4,6,7}:{(214,1),(215,1),(216,1),(218,1),(229,1)}
       225:{4,5,6}:{(217,1),(219,1),(230,1)}
       226:{3,5,7}:{(217,1),(218,1),(228,1),(229,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{2,5,7}:{(221,1),(222,1),(226,1)}
       229:{1,5,7}:{(223,1),(224,1),(226,1)}
       230:{4,5,7}:{(225,1),(226,1),(227,1)}

1365 :   0:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(27,1),(29,1),(53,1),(66,1)}
         1:{2,3,5,6,7}:{(4,1),(6,1),(17,1),(28,1),(29,1),(50,1),(67,1)}
         2:{1,3,4,6,7}:{(7,1),(8,1),(14,1),(33,1),(48,1),(70,1),(78,1),(84,1),(107,1),(111,1),(119,1)}
         3:{2,3,4,6,7}:{(9,1),(10,1),(15,1),(35,1),(49,1),(73,1),(81,1),(85,1),(108,1),(112,1),(119,1)}
         4:{1,2,5,6,7}:{(0,1),(1,1),(13,1),(32,1),(34,1),(46,1),(47,1),(86,1)}
         5:{1,4,6,7}:{(0,1),(11,1),(14,1),(33,1),(72,1),(84,1)}
         6:{2,4,6,7}:{(1,1),(12,1),(15,1),(35,1),(69,1),(85,1)}
         7:{1,2,4,6,7}:{(2,1),(20,1),(21,1),(30,1),(51,1),(59,1),(68,1),(105,1),(125,1)}
         8:{1,3,5,7}:{(2,1),(16,1),(21,1),(22,1),(27,1),(60,1),(120,1),(123,1)}
         9:{1,2,4,6,7}:{(3,1),(23,1),(24,1),(31,1),(54,1),(62,1),(68,1),(105,1),(122,1)}
        10:{2,3,5,7}:{(3,1),(17,1),(24,1),(25,1),(28,1),(63,1),(121,1),(124,1)}
        11:{1,4,5,7}:{(5,1),(18,1),(27,1),(91,1)}
        12:{2,4,5,7}:{(6,1),(19,1),(28,1),(87,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(26,1),(29,1),(30,1),(31,1),(51,1),(54,1),(68,1),(105,1)}
        14:{3,4,6,7}:{(5,1),(27,1),(29,1),(30,1),(52,1),(65,1),(92,1)}
        15:{3,4,6,7}:{(6,1),(28,1),(29,1),(31,1),(55,1),(65,1),(88,1)}
        16:{1,3,5,6}:{(8,1),(32,1),(33,1),(37,1),(70,1)}
        17:{2,3,5,6}:{(10,1),(34,1),(35,1),(38,1),(73,1)}
        18:{1,4,5,6}:{(11,1),(33,1),(37,1)}
        19:{2,4,5,6}:{(12,1),(35,1),(38,1)}
        20:{2,3,6,7}:{(7,1),(39,1),(70,1),(119,1),(133,1)}
        21:{1,2,5,7}:{(7,1),(8,1),(32,1),(39,1),(46,1),(132,1)}
        22:{1,4,5,7}:{(8,1),(33,1),(41,1),(84,1),(114,1)}
        23:{1,3,6,7}:{(9,1),(42,1),(73,1),(119,1),(131,1)}
        24:{1,2,5,7}:{(9,1),(10,1),(34,1),(42,1),(47,1),(130,1)}
        25:{2,4,5,7}:{(10,1),(35,1),(44,1),(85,1),(115,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(36,1),(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        27:{3,5,7}:{(11,1),(14,1),(37,1),(46,1),(110,1)}
        28:{3,5,7}:{(12,1),(15,1),(38,1),(47,1),(106,1)}
        29:{3,6,7}:{(13,1),(45,1),(70,1),(73,1),(119,1)}
        30:{2,4,6,7}:{(14,1),(46,1),(49,1),(71,1),(85,1),(112,1)}
        31:{1,4,6,7}:{(15,1),(47,1),(48,1),(74,1),(84,1),(107,1)}
        32:{1,2,5,6}:{(16,1),(21,1),(50,1),(51,1),(57,1),(120,1)}
        33:{1,4,6}:{(16,1),(22,1),(52,1)}
        34:{1,2,5,6}:{(17,1),(24,1),(53,1),(54,1),(58,1),(124,1)}
        35:{2,4,6}:{(17,1),(25,1),(55,1)}
        36:{1,2,4,5,6}:{(18,1),(19,1),(26,1),(51,1),(54,1),(56,1),(57,1),(58,1),(87,1),(91,1),(96,1),(97,1),(98,1),(120,1),(124,1),(126,1)}
        37:{3,5,6}:{(18,1),(27,1),(52,1),(57,1)}
        38:{3,5,6}:{(19,1),(28,1),(55,1),(58,1)}
        39:{2,3,5,7}:{(20,1),(21,1),(50,1),(59,1),(60,1),(136,1)}
        40:{1,2,4,5,7}:{(21,1),(22,1),(51,1),(59,1),(60,1),(61,1),(87,1),(99,1),(101,1),(105,1),(120,1),(126,1)}
        41:{3,4,5,7}:{(22,1),(27,1),(52,1),(60,1),(61,1),(65,1),(95,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(53,1),(62,1),(63,1),(135,1)}
        43:{1,2,4,5,7}:{(24,1),(25,1),(54,1),(62,1),(63,1),(64,1),(91,1),(103,1),(104,1),(105,1),(124,1),(126,1)}
        44:{3,4,5,7}:{(25,1),(28,1),(55,1),(63,1),(64,1),(65,1),(95,1)}
        45:{3,5,7}:{(26,1),(29,1),(56,1),(65,1)}
        46:{2,5,7}:{(27,1),(30,1),(57,1),(124,1)}
        47:{1,5,7}:{(28,1),(31,1),(58,1),(120,1)}
        48:{1,3,6,7}:{(29,1),(31,1),(66,1),(68,1),(89,1),(93,1)}
        49:{2,3,6,7}:{(29,1),(30,1),(67,1),(68,1),(90,1),(94,1)}
        50:{2,3,5,6}:{(32,1),(39,1),(69,1),(70,1),(106,1)}
        51:{1,2,4,6}:{(32,1),(33,1),(40,1),(69,1),(70,1),(71,1),(107,1),(109,1)}
        52:{3,4,6}:{(33,1),(37,1),(41,1),(70,1),(71,1)}
        53:{1,3,5,6}:{(34,1),(42,1),(72,1),(73,1),(110,1)}
        54:{1,2,4,6}:{(34,1),(35,1),(43,1),(72,1),(73,1),(74,1),(112,1),(113,1)}
        55:{3,4,6}:{(35,1),(38,1),(44,1),(73,1),(74,1)}
        56:{3,5,6}:{(36,1),(45,1),(70,1),(73,1),(75,1),(106,1),(110,1),(134,1)}
        57:{2,5,6}:{(37,1),(46,1),(71,1)}
        58:{1,5,6}:{(38,1),(47,1),(74,1)}
        59:{2,4,7}:{(39,1),(69,1),(78,1),(139,1)}
        60:{3,5,7}:{(40,1),(70,1),(78,1),(106,1),(119,1),(134,1)}
        61:{2,4,5,7}:{(41,1),(46,1),(71,1),(80,1),(85,1),(115,1)}
        62:{1,4,7}:{(42,1),(72,1),(81,1),(138,1)}
        63:{3,5,7}:{(43,1),(73,1),(81,1),(110,1),(119,1),(134,1)}
        64:{1,4,5,7}:{(44,1),(47,1),(74,1),(82,1),(84,1),(114,1)}
        65:{3,4,7}:{(45,1),(75,1),(84,1),(85,1),(119,1)}
        66:{1,3,5,7}:{(45,1),(47,1),(48,1),(76,1),(84,1),(86,1),(119,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(49,1),(77,1),(85,1),(86,1),(119,1)}
        68:{1,2,6,7}:{(48,1),(49,1),(86,1),(109,1),(113,1)}
        69:{2,4,6}:{(50,1),(59,1),(87,1),(88,1)}
        70:{3,6}:{(51,1),(60,1)}
        71:{2,4,6}:{(52,1),(57,1),(61,1),(90,1)}
        72:{1,4,6}:{(53,1),(62,1),(91,1),(92,1)}
        73:{3,6}:{(54,1),(63,1)}
        74:{1,4,6}:{(55,1),(58,1),(64,1),(93,1)}
        75:{3,4,6}:{(56,1),(65,1),(95,1),(96,1),(97,1),(127,1),(137,1)}
        76:{1,3,5,6}:{(56,1),(58,1),(66,1),(89,1),(93,1),(96,1),(98,1),(120,1),(123,1),(127,1),(135,1)}
        77:{2,3,5,6}:{(56,1),(57,1),(67,1),(90,1),(94,1),(97,1),(98,1),(121,1),(124,1),(127,1),(136,1)}
        78:{3,4,7}:{(59,1),(60,1),(88,1),(99,1),(137,1)}
        79:{1,3,5,7}:{(60,1),(89,1),(99,1),(101,1),(120,1),(128,1),(135,1)}
        80:{2,3,5,7}:{(60,1),(61,1),(90,1),(100,1),(101,1),(121,1)}
        81:{3,4,7}:{(62,1),(63,1),(92,1),(103,1),(137,1)}
        82:{1,3,5,7}:{(63,1),(64,1),(93,1),(102,1),(104,1),(123,1)}
        83:{2,3,5,7}:{(63,1),(94,1),(103,1),(104,1),(124,1),(129,1),(136,1)}
        84:{1,4,7}:{(65,1),(66,1),(96,1)}
        85:{2,4,7}:{(65,1),(67,1),(97,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(98,1),(105,1)}
        87:{2,4,5}:{(69,1),(106,1)}
        88:{3,4,6}:{(69,1),(70,1),(78,1),(106,1),(107,1)}
        89:{1,3,6}:{(70,1),(79,1),(107,1),(109,1)}
        90:{2,3,6}:{(70,1),(71,1),(80,1),(109,1)}
        91:{1,4,5}:{(72,1),(110,1)}
        92:{3,4,6}:{(72,1),(73,1),(81,1),(110,1),(112,1)}
        93:{1,3,6}:{(73,1),(74,1),(82,1),(113,1)}
        94:{2,3,6}:{(73,1),(83,1),(112,1),(113,1)}
        95:{3,4,5}:{(75,1),(106,1),(110,1),(114,1),(115,1),(134,1)}
        96:{1,4,6}:{(75,1),(76,1),(84,1),(114,1),(138,1)}
        97:{2,4,6}:{(75,1),(77,1),(85,1),(115,1),(139,1)}
        98:{1,2,5,6}:{(76,1),(77,1),(86,1),(109,1),(113,1),(116,1),(130,1),(132,1)}
        99:{1,4,7}:{(78,1),(79,1),(107,1),(138,1)}
       100:{2,3,4,7}:{(78,1),(80,1),(85,1),(108,1),(117,1),(119,1)}
       101:{1,2,5,7}:{(79,1),(80,1),(109,1),(117,1),(130,1)}
       102:{1,3,4,7}:{(81,1),(82,1),(84,1),(111,1),(118,1),(119,1)}
       103:{2,4,7}:{(81,1),(83,1),(112,1),(139,1)}
       104:{1,2,5,7}:{(82,1),(83,1),(113,1),(118,1),(132,1)}
       105:{1,2,4,7}:{(84,1),(85,1),(86,1),(116,1),(119,1)}
       106:{3,5}:{(87,1),(88,1),(120,1)}
       107:{1,4,6}:{(88,1),(89,1),(99,1),(120,1)}
       108:{2,3,4,6}:{(88,1),(90,1),(97,1),(100,1),(121,1),(122,1),(127,1),(137,1)}
       109:{1,2,6}:{(89,1),(90,1),(101,1)}
       110:{3,5}:{(91,1),(92,1),(124,1)}
       111:{1,3,4,6}:{(92,1),(93,1),(96,1),(102,1),(123,1),(125,1),(127,1),(137,1)}
       112:{2,4,6}:{(92,1),(94,1),(103,1),(124,1)}
       113:{1,2,6}:{(93,1),(94,1),(104,1)}
       114:{1,4,5}:{(95,1),(96,1),(120,1),(123,1)}
       115:{2,4,5}:{(95,1),(97,1),(121,1),(124,1)}
       116:{1,2,4,6}:{(96,1),(97,1),(98,1),(105,1),(126,1),(127,1)}
       117:{1,2,4,7}:{(99,1),(100,1),(101,1),(122,1),(128,1)}
       118:{1,2,4,7}:{(102,1),(103,1),(104,1),(125,1),(129,1)}
       119:{3,7}:{(105,1),(127,1)}
       120:{1,5}:{(106,1),(107,1)}
       121:{2,3,5}:{(106,1),(108,1),(115,1),(130,1),(134,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(117,1),(130,1),(131,1),(138,1)}
       123:{1,3,5}:{(110,1),(111,1),(114,1),(132,1),(134,1)}
       124:{2,5}:{(110,1),(112,1)}
       125:{1,2,4,6}:{(111,1),(112,1),(113,1),(118,1),(132,1),(133,1),(139,1)}
       126:{1,2,4,5}:{(114,1),(115,1),(116,1),(130,1),(132,1),(134,1),(138,1),(139,1)}
       127:{3,6}:{(116,1),(119,1),(134,1)}
       128:{1,3,7}:{(117,1),(119,1),(131,1)}
       129:{2,3,7}:{(118,1),(119,1),(133,1)}
       130:{1,2,5}:{(120,1),(121,1),(122,1),(135,1)}
       131:{1,3,6}:{(122,1),(127,1),(128,1),(135,1)}
       132:{1,2,5}:{(123,1),(124,1),(125,1),(136,1)}
       133:{2,3,6}:{(125,1),(127,1),(129,1),(136,1)}
       134:{3,5}:{(126,1),(127,1),(137,1)}
       135:{1,3,5}:{(130,1),(131,1),(134,1),(138,1)}
       136:{2,3,5}:{(132,1),(133,1),(134,1),(139,1)}
       137:{3,4}:{(134,1),(138,1),(139,1)}
       138:{1,4}:{(135,1),(137,1)}
       139:{2,4}:{(136,1),(137,1)}

1366 :   0:{1,2,3,5,6}:{(1,1),(2,1),(7,1),(11,1),(36,1),(38,1),(40,1),(42,1),(44,1),(77,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(17,1),(24,1),(26,1),(56,1),(59,1),(61,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(51,1),(53,1)}
         3:{3,4,6}:{(2,1),(10,1),(11,1),(42,1)}
         4:{1,2,3,6,7}:{(1,1),(12,1),(42,1),(77,1),(79,1),(80,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(10,1),(72,1),(74,1)}
         6:{1,2,4,5}:{(2,1),(11,1),(31,1),(32,1),(36,1)}
         7:{1,2,3,6}:{(15,1),(17,1),(18,1),(85,1)}
         8:{2,3,4,6}:{(3,1),(18,1),(19,1),(20,1),(46,1),(51,1),(58,1),(83,1),(85,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(21,1),(22,1),(46,1),(53,1),(60,1),(83,1),(85,1)}
        10:{3,4,7}:{(3,1),(5,1),(24,1)}
        11:{3,5}:{(3,1),(6,1)}
        12:{1,2,4,6,7}:{(4,1),(5,1),(23,1),(26,1),(27,1),(90,1),(92,1)}
        13:{1,2,4,5,7}:{(5,1),(6,1),(24,1),(26,1),(27,1),(50,1),(52,1),(56,1),(62,1)}
        14:{1,2,4,5,6}:{(6,1),(25,1),(27,1),(28,1),(51,1),(53,1),(57,1),(89,1),(91,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(30,1),(36,1),(67,1)}
        16:{3,4,5}:{(11,1),(31,1),(32,1),(34,1),(67,1)}
        17:{1,2,3,7}:{(7,1),(35,1),(99,1)}
        18:{1,2,4,6}:{(7,1),(8,1),(9,1),(30,1),(35,1),(36,1),(77,1)}
        19:{2,3,4,7}:{(8,1),(10,1),(35,1),(37,1),(66,1),(72,1),(99,1)}
        20:{2,3,5}:{(8,1),(11,1),(31,1),(36,1),(67,1),(97,1)}
        21:{1,3,4,7}:{(9,1),(10,1),(35,1),(39,1),(66,1),(74,1),(99,1)}
        22:{1,3,5}:{(9,1),(11,1),(32,1),(36,1),(67,1),(97,1)}
        23:{3,4,6,7}:{(10,1),(12,1),(41,1),(42,1),(81,1)}
        24:{3,5,7}:{(10,1),(11,1),(13,1),(42,1)}
        25:{3,5,6}:{(11,1),(14,1),(34,1),(42,1),(43,1)}
        26:{1,2,5,7}:{(12,1),(41,1),(44,1),(102,1),(103,1)}
        27:{1,2,4,6}:{(13,1),(42,1),(44,1),(71,1),(73,1),(77,1),(81,1)}
        28:{1,2,4,5,7}:{(14,1),(43,1),(45,1),(72,1),(74,1),(78,1),(102,1),(103,1),(104,1)}
        29:{1,2,3,5,7}:{(15,1),(17,1),(47,1),(48,1),(56,1),(84,1),(86,1)}
        30:{1,2,4}:{(15,1),(46,1)}
        31:{2,4,5}:{(16,1),(20,1),(51,1),(105,1)}
        32:{1,4,5}:{(16,1),(22,1),(53,1),(105,1)}
        33:{3,4,5,7}:{(16,1),(24,1),(50,1),(52,1),(54,1),(55,1),(62,1),(84,1),(94,1),(105,1),(111,1)}
        34:{3,4,6}:{(16,1),(25,1),(51,1),(53,1),(55,1),(85,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(19,1),(21,1),(56,1)}
        36:{1,2,5}:{(18,1),(20,1),(22,1)}
        37:{2,3,5,7}:{(19,1),(20,1),(24,1),(50,1),(56,1),(58,1),(84,1)}
        38:{2,3,5,6}:{(20,1),(25,1),(51,1),(57,1),(58,1),(59,1),(85,1),(89,1),(106,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(24,1),(52,1),(56,1),(60,1),(84,1)}
        40:{1,3,5,6}:{(22,1),(25,1),(53,1),(57,1),(60,1),(61,1),(85,1),(91,1),(106,1)}
        41:{3,5,7}:{(23,1),(26,1),(62,1),(63,1)}
        42:{3,6}:{(24,1),(27,1)}
        43:{3,5,7}:{(25,1),(28,1),(55,1),(64,1)}
        44:{1,2,5,6}:{(26,1),(27,1),(63,1),(89,1),(91,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(64,1),(65,1),(90,1),(92,1),(95,1),(96,1)}
        46:{3,4}:{(30,1),(67,1)}
        47:{1,2,3,6}:{(29,1),(68,1),(77,1),(98,1)}
        48:{1,2,4,7}:{(29,1),(30,1),(66,1),(68,1)}
        49:{1,2,4,5}:{(30,1),(31,1),(32,1),(36,1),(67,1),(70,1)}
        50:{2,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(102,1)}
        51:{2,4,6}:{(31,1),(34,1),(38,1),(72,1),(109,1)}
        52:{1,4,5,7}:{(32,1),(33,1),(39,1),(73,1),(74,1),(103,1)}
        53:{1,4,6}:{(32,1),(34,1),(40,1),(74,1),(109,1)}
        54:{3,4,6}:{(33,1),(42,1),(71,1),(73,1),(75,1),(81,1),(98,1),(109,1)}
        55:{3,4,7}:{(34,1),(43,1),(72,1),(74,1),(99,1)}
        56:{1,2,5,7}:{(35,1),(36,1),(37,1),(39,1),(77,1)}
        57:{1,2,5,6}:{(36,1),(38,1),(40,1),(70,1),(77,1),(78,1)}
        58:{2,3,6}:{(37,1),(42,1),(71,1),(77,1),(98,1)}
        59:{2,3,5,7}:{(38,1),(43,1),(72,1),(78,1),(79,1),(99,1),(102,1),(110,1)}
        60:{1,3,6}:{(39,1),(42,1),(73,1),(77,1),(98,1)}
        61:{1,3,5,7}:{(40,1),(43,1),(74,1),(78,1),(80,1),(99,1),(103,1),(110,1)}
        62:{4,5,7}:{(41,1),(81,1)}
        63:{3,5,6}:{(41,1),(42,1),(44,1),(81,1)}
        64:{3,6,7}:{(42,1),(43,1),(45,1)}
        65:{1,2,5,6,7}:{(44,1),(45,1),(82,1),(102,1),(103,1)}
        66:{3,4,7}:{(46,1),(48,1),(83,1),(84,1),(111,1)}
        67:{3,5}:{(46,1),(49,1),(85,1)}
        68:{1,2,4,6}:{(47,1),(48,1),(83,1),(86,1)}
        69:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(52,1),(56,1),(84,1),(86,1),(87,1),(88,1),(105,1),(108,1),(111,1)}
        70:{1,2,4,6}:{(49,1),(51,1),(53,1),(57,1),(85,1),(88,1)}
        71:{2,4,6}:{(50,1),(54,1),(58,1),(89,1)}
        72:{2,4,7}:{(51,1),(55,1),(59,1),(111,1)}
        73:{1,4,6}:{(52,1),(54,1),(60,1),(91,1)}
        74:{1,4,7}:{(53,1),(55,1),(61,1),(111,1)}
        75:{3,5,6}:{(54,1),(89,1),(91,1),(93,1),(94,1)}
        76:{3,4,6,7}:{(54,1),(55,1),(64,1),(90,1),(92,1),(94,1),(96,1),(107,1),(111,1)}
        77:{1,2,6}:{(56,1),(58,1),(60,1)}
        78:{1,2,5,7}:{(57,1),(59,1),(61,1),(88,1),(95,1)}
        79:{2,3,6,7}:{(58,1),(59,1),(64,1),(90,1),(95,1),(107,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(64,1),(92,1),(95,1),(107,1)}
        81:{4,6}:{(62,1),(63,1)}
        82:{3,5,6,7}:{(63,1),(64,1),(65,1),(94,1),(96,1)}
        83:{3,4,6}:{(66,1),(68,1),(97,1),(98,1),(109,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(97,1),(98,1),(99,1)}
        85:{3,6}:{(67,1),(70,1),(99,1)}
        86:{1,2,5}:{(68,1),(97,1)}
        87:{1,2,4,6}:{(69,1),(71,1),(73,1),(77,1),(98,1),(100,1),(109,1)}
        88:{1,2,4,7}:{(70,1),(72,1),(74,1),(78,1),(99,1)}
        89:{2,5,6}:{(71,1),(75,1),(102,1)}
        90:{2,4,6,7}:{(71,1),(72,1),(76,1),(79,1),(102,1)}
        91:{1,5,6}:{(73,1),(75,1),(103,1)}
        92:{1,4,6,7}:{(73,1),(74,1),(76,1),(80,1),(103,1)}
        93:{4,5,6}:{(75,1),(81,1),(104,1),(109,1)}
        94:{3,5,7}:{(75,1),(76,1),(102,1),(103,1),(104,1)}
        95:{1,2,6,7}:{(77,1),(78,1),(79,1),(80,1)}
        96:{4,6,7}:{(81,1),(82,1),(104,1)}
        97:{3,5}:{(83,1),(86,1),(105,1)}
        98:{3,6}:{(84,1),(87,1)}
        99:{3,7}:{(85,1),(88,1)}
       100:{1,2,5,6}:{(86,1),(87,1),(89,1),(91,1),(106,1),(108,1)}
       101:{1,2,4,6,7}:{(87,1),(88,1),(90,1),(92,1),(95,1),(107,1),(108,1),(111,1)}
       102:{2,5,7}:{(89,1),(90,1),(94,1)}
       103:{1,5,7}:{(91,1),(92,1),(94,1)}
       104:{4,5,7}:{(93,1),(94,1),(96,1),(111,1)}
       105:{4,5}:{(97,1),(109,1)}
       106:{3,5,6}:{(97,1),(98,1),(100,1),(109,1),(110,1)}
       107:{3,6,7}:{(98,1),(99,1),(101,1),(110,1)}
       108:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1367 :   0:{1,2,3,6,7}:{(2,1),(3,1),(38,1),(75,1),(76,1),(77,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(11,1),(15,1),(38,1),(43,1),(44,1),(45,1),(46,1),(77,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(84,1),(85,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(23,1),(59,1),(60,1),(61,1),(62,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(53,1),(54,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(13,1),(32,1),(38,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(11,1),(94,1),(95,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(13,1),(71,1),(72,1)}
         8:{1,2,4,5}:{(4,1),(15,1),(35,1),(36,1),(45,1)}
         9:{3,4,6}:{(4,1),(13,1),(15,1),(38,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,5,6}:{(6,1),(18,1),(22,1),(82,1),(83,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(22,1),(23,1),(50,1),(51,1),(59,1)}
        13:{3,4,7}:{(7,1),(9,1),(23,1)}
        14:{1,2,4,5,6}:{(8,1),(22,1),(26,1),(27,1),(47,1),(53,1),(54,1),(63,1),(82,1),(83,1)}
        15:{3,5}:{(8,1),(9,1)}
        16:{1,3,4,6}:{(9,1),(24,1),(28,1),(30,1),(53,1),(57,1),(89,1),(90,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(25,1),(29,1),(30,1),(54,1),(58,1),(89,1),(90,1),(105,1)}
        18:{3,5,6}:{(10,1),(11,1),(32,1),(38,1)}
        19:{4,5,7}:{(10,1),(32,1)}
        20:{3,4,5}:{(15,1),(34,1),(35,1),(36,1),(74,1)}
        21:{1,2,5,6,7}:{(11,1),(31,1),(37,1),(94,1),(95,1)}
        22:{1,2,4,6}:{(11,1),(12,1),(32,1),(38,1),(68,1),(69,1),(77,1)}
        23:{3,5,7}:{(12,1),(13,1),(15,1),(38,1)}
        24:{1,3,4,7}:{(13,1),(16,1),(39,1),(41,1),(71,1),(99,1),(100,1)}
        25:{2,3,4,7}:{(13,1),(17,1),(40,1),(41,1),(72,1),(99,1),(100,1)}
        26:{1,2,4,5,7}:{(14,1),(37,1),(42,1),(65,1),(71,1),(72,1),(79,1),(94,1),(95,1)}
        27:{3,5,6}:{(14,1),(15,1),(34,1),(38,1),(42,1)}
        28:{1,3,5}:{(15,1),(16,1),(35,1),(45,1),(74,1),(109,1)}
        29:{2,3,5}:{(15,1),(17,1),(36,1),(45,1),(74,1),(109,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(41,1),(45,1),(46,1),(77,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(48,1),(56,1),(81,1)}
        32:{4,6}:{(18,1),(19,1)}
        33:{3,4,5,7}:{(19,1),(20,1),(23,1),(49,1),(50,1),(51,1),(52,1),(81,1),(87,1),(110,1),(111,1)}
        34:{3,4,6}:{(20,1),(27,1),(52,1),(53,1),(54,1),(89,1)}
        35:{1,4,5}:{(20,1),(28,1),(53,1),(111,1)}
        36:{2,4,5}:{(20,1),(29,1),(54,1),(111,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(26,1),(48,1),(56,1),(84,1),(85,1),(91,1)}
        38:{3,6}:{(22,1),(23,1)}
        39:{1,3,5,7}:{(23,1),(24,1),(28,1),(50,1),(57,1),(59,1),(87,1)}
        40:{2,3,5,7}:{(23,1),(25,1),(29,1),(51,1),(58,1),(59,1),(87,1)}
        41:{1,2,4,7}:{(24,1),(25,1),(30,1),(59,1),(60,1)}
        42:{3,5,7}:{(26,1),(27,1),(52,1),(56,1)}
        43:{1,3,5,6}:{(27,1),(28,1),(53,1),(57,1),(61,1),(63,1),(82,1),(89,1),(103,1)}
        44:{2,3,5,6}:{(27,1),(29,1),(54,1),(58,1),(62,1),(63,1),(83,1),(89,1),(103,1)}
        45:{1,2,5}:{(28,1),(29,1),(30,1)}
        46:{1,2,3,6}:{(30,1),(60,1),(64,1),(89,1)}
        47:{4,5,6}:{(32,1),(65,1),(66,1),(108,1)}
        48:{4,6,7}:{(31,1),(32,1),(65,1)}
        49:{3,4,6}:{(32,1),(33,1),(38,1),(66,1),(68,1),(69,1),(98,1),(108,1)}
        50:{1,4,5,7}:{(33,1),(35,1),(39,1),(68,1),(71,1),(94,1)}
        51:{2,4,5,7}:{(33,1),(36,1),(40,1),(69,1),(72,1),(95,1)}
        52:{3,4,7}:{(34,1),(42,1),(71,1),(72,1),(100,1)}
        53:{1,4,6}:{(34,1),(35,1),(43,1),(71,1),(108,1)}
        54:{2,4,6}:{(34,1),(36,1),(44,1),(72,1),(108,1)}
        55:{1,2,4,5}:{(35,1),(36,1),(45,1),(73,1),(74,1),(80,1)}
        56:{3,6,7}:{(37,1),(38,1),(42,1)}
        57:{1,3,6}:{(38,1),(39,1),(68,1),(77,1),(98,1)}
        58:{2,3,6}:{(38,1),(40,1),(69,1),(77,1),(98,1)}
        59:{1,2,5,7}:{(39,1),(40,1),(41,1),(45,1),(77,1)}
        60:{1,2,3,7}:{(41,1),(46,1),(100,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(71,1),(75,1),(79,1),(94,1),(100,1),(107,1)}
        62:{2,3,5,7}:{(42,1),(44,1),(72,1),(76,1),(79,1),(95,1),(100,1),(107,1)}
        63:{1,2,5,6}:{(43,1),(44,1),(45,1),(73,1),(77,1),(79,1)}
        64:{1,2,3,5}:{(45,1),(46,1),(74,1),(80,1)}
        65:{4,5,7}:{(47,1),(48,1),(81,1),(110,1)}
        66:{3,5,6}:{(47,1),(49,1),(81,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(48,1),(49,1),(52,1),(56,1),(81,1),(84,1),(85,1),(104,1),(110,1)}
        68:{1,4,6}:{(49,1),(50,1),(57,1),(82,1)}
        69:{2,4,6}:{(49,1),(51,1),(58,1),(83,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(55,1),(59,1),(86,1),(87,1),(88,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        71:{1,4,7}:{(52,1),(53,1),(61,1),(110,1)}
        72:{2,4,7}:{(52,1),(54,1),(62,1),(110,1)}
        73:{1,2,4,6}:{(53,1),(54,1),(55,1),(63,1),(88,1),(89,1)}
        74:{3,5}:{(55,1),(89,1),(90,1)}
        75:{1,3,6,7}:{(56,1),(57,1),(61,1),(84,1),(91,1),(104,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(62,1),(85,1),(91,1),(104,1)}
        77:{1,2,6}:{(57,1),(58,1),(59,1)}
        78:{1,2,3,5,7}:{(59,1),(60,1),(64,1),(87,1),(92,1),(93,1),(106,1)}
        79:{1,2,5,7}:{(61,1),(62,1),(63,1),(88,1),(91,1)}
        80:{1,2,4}:{(64,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(67,1),(94,1),(95,1)}
        82:{1,5,6}:{(66,1),(68,1),(94,1)}
        83:{2,5,6}:{(66,1),(69,1),(95,1)}
        84:{1,4,6,7}:{(67,1),(68,1),(71,1),(75,1),(94,1)}
        85:{2,4,6,7}:{(67,1),(69,1),(72,1),(76,1),(95,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(96,1),(98,1),(108,1)}
        87:{3,5,7}:{(70,1),(74,1),(98,1),(99,1),(100,1),(109,1)}
        88:{1,2,4,7}:{(71,1),(72,1),(73,1),(79,1),(100,1)}
        89:{3,6}:{(73,1),(74,1),(100,1)}
        90:{3,4}:{(74,1),(80,1)}
        91:{1,2,6,7}:{(75,1),(76,1),(77,1),(79,1)}
        92:{1,2,3,6}:{(77,1),(78,1),(98,1),(101,1)}
        93:{1,2,4,7}:{(78,1),(80,1),(99,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(84,1)}
        95:{2,5,7}:{(81,1),(83,1),(85,1)}
        96:{1,2,5,6}:{(82,1),(83,1),(86,1),(102,1),(103,1),(106,1)}
        97:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(102,1),(104,1),(110,1)}
        98:{3,6}:{(86,1),(87,1)}
        99:{3,4,7}:{(87,1),(90,1),(93,1),(105,1),(110,1)}
       100:{3,7}:{(88,1),(89,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(97,1),(107,1)}
       103:{3,5,6}:{(96,1),(98,1),(107,1),(108,1),(109,1)}
       104:{3,6,7}:{(97,1),(98,1),(100,1),(107,1)}
       105:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(103,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1368 :   0:{3,4,5,6}:{(1,1),(2,1),(3,1),(20,1),(183,1),(193,1),(216,1)}
         1:{1,4,5,6}:{(0,1),(7,1),(9,1),(199,1),(223,1)}
         2:{2,4,5,6}:{(0,1),(6,1),(10,1),(194,1),(221,1)}
         3:{3,4,5,7}:{(0,1),(9,1),(10,1),(11,1),(41,1),(168,1)}
         4:{2,3,4,5}:{(12,1),(13,1),(68,1),(107,1),(172,1)}
         5:{1,3,4,5}:{(14,1),(15,1),(68,1),(116,1),(179,1)}
         6:{2,3,5,6}:{(2,1),(12,1),(16,1),(17,1),(20,1),(172,1),(212,1)}
         7:{1,3,5,6}:{(1,1),(14,1),(18,1),(19,1),(20,1),(179,1),(215,1)}
         8:{1,2,4,5,6}:{(1,1),(2,1),(16,1),(18,1),(20,1),(21,1),(62,1),(65,1),(127,1),(189,1),(191,1),(192,1),(193,1)}
         9:{1,4,5,7}:{(1,1),(3,1),(19,1),(22,1)}
        10:{2,4,5,7}:{(2,1),(3,1),(17,1),(23,1)}
        11:{3,4,6,7}:{(3,1),(22,1),(23,1),(24,1),(70,1),(136,1),(216,1)}
        12:{2,3,4,6}:{(4,1),(6,1),(26,1),(27,1),(40,1)}
        13:{1,2,4,5}:{(4,1),(26,1),(28,1),(77,1),(94,1),(142,1)}
        14:{1,3,4,6}:{(5,1),(7,1),(30,1),(31,1),(40,1)}
        15:{1,2,4,5}:{(5,1),(30,1),(32,1),(85,1),(97,1),(150,1)}
        16:{1,2,5,6}:{(6,1),(26,1),(34,1),(35,1),(142,1),(198,1)}
        17:{2,3,5,7}:{(6,1),(10,1),(27,1),(35,1),(36,1),(41,1)}
        18:{1,2,5,6}:{(7,1),(30,1),(37,1),(38,1),(150,1),(203,1)}
        19:{1,3,5,7}:{(7,1),(9,1),(31,1),(38,1),(39,1),(41,1)}
        20:{3,5,6}:{(8,1),(40,1),(41,1),(159,1),(207,1)}
        21:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(35,1),(38,1),(41,1),(42,1),(95,1),(98,1),(164,1),(166,1),(168,1)}
        22:{1,4,6,7}:{(9,1),(11,1),(39,1),(43,1),(223,1)}
        23:{2,4,6,7}:{(10,1),(11,1),(36,1),(44,1),(221,1)}
        24:{3,5,6,7}:{(11,1),(43,1),(44,1),(45,1),(225,1)}
        25:{1,3,4,5}:{(46,1),(47,1),(51,1),(110,1),(183,1)}
        26:{1,2,4,6}:{(12,1),(13,1),(16,1),(49,1),(50,1),(62,1)}
        27:{2,3,4,7}:{(12,1),(17,1),(50,1),(69,1)}
        28:{1,3,5}:{(13,1),(49,1),(51,1)}
        29:{2,3,4,5}:{(52,1),(53,1),(57,1),(119,1),(183,1)}
        30:{1,2,4,6}:{(14,1),(15,1),(18,1),(55,1),(56,1),(65,1)}
        31:{1,3,4,7}:{(14,1),(19,1),(56,1),(69,1)}
        32:{2,3,5}:{(15,1),(55,1),(57,1)}
        33:{3,4,5,6}:{(58,1),(59,1),(60,1),(68,1),(121,1),(134,1),(230,1)}
        34:{1,3,5,6}:{(16,1),(20,1),(49,1),(62,1),(63,1),(110,1),(175,1),(191,1)}
        35:{1,2,5,7}:{(16,1),(17,1),(50,1),(63,1),(64,1)}
        36:{2,3,6,7}:{(17,1),(23,1),(64,1),(70,1),(212,1)}
        37:{2,3,5,6}:{(18,1),(20,1),(55,1),(65,1),(66,1),(119,1),(182,1),(192,1)}
        38:{1,2,5,7}:{(18,1),(19,1),(56,1),(66,1),(67,1)}
        39:{1,3,6,7}:{(19,1),(22,1),(67,1),(70,1),(215,1)}
        40:{3,4,6}:{(20,1),(62,1),(65,1),(68,1),(69,1)}
        41:{3,5,7}:{(20,1),(21,1),(69,1),(70,1)}
        42:{1,2,4,6,7}:{(21,1),(22,1),(23,1),(64,1),(67,1),(70,1),(71,1),(131,1),(133,1),(136,1),(189,1)}
        43:{1,5,6,7}:{(22,1),(24,1),(229,1)}
        44:{2,5,6,7}:{(23,1),(24,1),(228,1)}
        45:{4,5,6,7}:{(24,1),(136,1),(230,1)}
        46:{1,3,4,6}:{(25,1),(72,1),(73,1),(74,1),(153,1)}
        47:{1,2,4,5}:{(25,1),(73,1),(75,1),(77,1),(142,1),(194,1)}
        48:{1,2,3,5}:{(28,1),(75,1),(76,1),(77,1),(142,1)}
        49:{1,3,6}:{(26,1),(28,1),(79,1)}
        50:{1,2,4,7}:{(26,1),(27,1),(35,1),(79,1),(95,1)}
        51:{1,3,4}:{(28,1),(77,1)}
        52:{2,3,4,6}:{(29,1),(80,1),(81,1),(82,1),(153,1)}
        53:{1,2,4,5}:{(29,1),(81,1),(83,1),(85,1),(150,1),(199,1)}
        54:{1,2,3,5}:{(32,1),(83,1),(84,1),(85,1),(150,1)}
        55:{2,3,6}:{(30,1),(32,1),(87,1)}
        56:{1,2,4,7}:{(30,1),(31,1),(38,1),(87,1),(98,1)}
        57:{2,3,4}:{(32,1),(85,1)}
        58:{1,4,5,6}:{(33,1),(72,1),(89,1),(94,1),(163,1)}
        59:{2,4,5,6}:{(33,1),(80,1),(90,1),(97,1),(165,1)}
        60:{3,4,5,7}:{(33,1),(89,1),(90,1),(91,1),(154,1),(226,1)}
        61:{1,2,3,5,6}:{(34,1),(37,1),(76,1),(84,1),(92,1),(93,1),(137,1),(142,1),(145,1),(150,1),(159,1),(198,1),(203,1),(207,1),(209,1)}
        62:{1,4,6}:{(34,1),(40,1),(94,1),(95,1)}
        63:{1,3,5,7}:{(34,1),(35,1),(41,1),(79,1),(95,1),(96,1),(164,1)}
        64:{1,2,6,7}:{(35,1),(36,1),(96,1),(198,1)}
        65:{2,4,6}:{(37,1),(40,1),(97,1),(98,1)}
        66:{2,3,5,7}:{(37,1),(38,1),(41,1),(87,1),(98,1),(99,1),(166,1)}
        67:{1,2,6,7}:{(38,1),(39,1),(99,1),(203,1)}
        68:{3,4,5}:{(40,1),(94,1),(97,1),(159,1)}
        69:{3,4,7}:{(40,1),(41,1),(95,1),(98,1)}
        70:{3,6,7}:{(41,1),(42,1),(207,1)}
        71:{1,2,5,6,7}:{(42,1),(43,1),(44,1),(102,1),(164,1),(166,1),(209,1)}
        72:{1,3,5,6}:{(46,1),(58,1),(103,1),(104,1),(110,1),(121,1),(175,1)}
        73:{1,2,4,6}:{(46,1),(47,1),(103,1),(105,1),(106,1),(169,1)}
        74:{1,3,4,7}:{(46,1),(104,1),(106,1),(184,1)}
        75:{2,3,5}:{(47,1),(105,1),(107,1)}
        76:{1,2,3,6}:{(48,1),(49,1),(105,1),(108,1),(109,1)}
        77:{1,2,4}:{(48,1),(51,1),(107,1)}
        78:{1,3,4,6}:{(49,1),(51,1),(62,1),(108,1),(110,1),(111,1),(126,1),(175,1)}
        79:{1,3,7}:{(49,1),(50,1)}
        80:{2,3,5,6}:{(52,1),(59,1),(112,1),(113,1),(119,1),(121,1),(182,1)}
        81:{1,2,4,6}:{(52,1),(53,1),(112,1),(114,1),(115,1),(176,1)}
        82:{2,3,4,7}:{(52,1),(113,1),(115,1),(184,1)}
        83:{1,3,5}:{(53,1),(114,1),(116,1)}
        84:{1,2,3,6}:{(54,1),(55,1),(114,1),(117,1),(118,1)}
        85:{1,2,4}:{(54,1),(57,1),(116,1)}
        86:{2,3,4,6}:{(55,1),(57,1),(65,1),(117,1),(119,1),(120,1),(126,1),(182,1)}
        87:{2,3,7}:{(55,1),(56,1)}
        88:{1,2,4,5,6}:{(58,1),(59,1),(103,1),(112,1),(121,1),(122,1),(127,1),(169,1),(176,1),(189,1),(228,1),(229,1),(230,1)}
        89:{1,4,5,7}:{(58,1),(60,1),(104,1),(123,1)}
        90:{2,4,5,7}:{(59,1),(60,1),(113,1),(124,1)}
        91:{3,4,6,7}:{(60,1),(123,1),(124,1),(125,1),(134,1),(185,1),(218,1)}
        92:{1,2,4,6}:{(61,1),(62,1),(65,1),(126,1),(127,1),(128,1),(169,1),(176,1)}
        93:{1,2,3,5,7}:{(61,1),(63,1),(66,1),(109,1),(118,1),(128,1),(129,1),(170,1),(174,1),(177,1),(181,1),(187,1),(190,1)}
        94:{1,4,5}:{(62,1),(68,1),(110,1)}
        95:{1,4,7}:{(62,1),(63,1),(69,1)}
        96:{1,3,6,7}:{(63,1),(64,1),(70,1),(131,1),(175,1)}
        97:{2,4,5}:{(65,1),(68,1),(119,1)}
        98:{2,4,7}:{(65,1),(66,1),(69,1)}
        99:{2,3,6,7}:{(66,1),(67,1),(70,1),(133,1),(182,1)}
       100:{3,4,5,7}:{(68,1),(69,1),(130,1),(132,1),(134,1),(135,1),(187,1),(220,1)}
       101:{3,4,6,7}:{(69,1),(70,1),(131,1),(133,1),(134,1),(135,1),(136,1)}
       102:{3,5,6,7}:{(70,1),(71,1),(135,1),(136,1),(219,1)}
       103:{1,2,5,6}:{(72,1),(73,1),(137,1),(138,1),(142,1),(198,1)}
       104:{1,3,5,7}:{(72,1),(74,1),(89,1),(138,1),(139,1),(154,1)}
       105:{2,3,6}:{(73,1),(75,1),(141,1)}
       106:{1,2,4,7}:{(73,1),(74,1),(138,1),(141,1),(195,1)}
       107:{2,3,4}:{(75,1),(77,1)}
       108:{1,2,4,6}:{(76,1),(77,1),(78,1),(140,1),(142,1),(143,1),(198,1)}
       109:{1,2,3,7}:{(76,1),(79,1),(141,1),(143,1)}
       110:{1,3,5}:{(78,1),(94,1),(142,1),(159,1)}
       111:{1,3,4,7}:{(78,1),(79,1),(95,1),(143,1),(144,1),(160,1)}
       112:{1,2,5,6}:{(80,1),(81,1),(145,1),(146,1),(150,1),(203,1)}
       113:{2,3,5,7}:{(80,1),(82,1),(90,1),(146,1),(147,1),(154,1)}
       114:{1,3,6}:{(81,1),(83,1),(149,1)}
       115:{1,2,4,7}:{(81,1),(82,1),(146,1),(149,1),(200,1)}
       116:{1,3,4}:{(83,1),(85,1)}
       117:{1,2,4,6}:{(84,1),(85,1),(86,1),(148,1),(150,1),(151,1),(203,1)}
       118:{1,2,3,7}:{(84,1),(87,1),(149,1),(151,1)}
       119:{2,3,5}:{(86,1),(97,1),(150,1),(159,1)}
       120:{2,3,4,7}:{(86,1),(87,1),(98,1),(151,1),(152,1),(160,1)}
       121:{3,5,6}:{(88,1),(153,1),(154,1),(159,1),(207,1)}
       122:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(138,1),(146,1),(154,1),(155,1),(195,1),(200,1),(222,1),(224,1),(226,1)}
       123:{1,4,6,7}:{(89,1),(91,1),(139,1),(156,1),(163,1)}
       124:{2,4,6,7}:{(90,1),(91,1),(147,1),(157,1),(165,1)}
       125:{3,5,6,7}:{(91,1),(156,1),(157,1),(158,1),(167,1)}
       126:{3,4,6}:{(92,1),(159,1),(160,1),(207,1)}
       127:{1,2,4,5}:{(92,1),(94,1),(97,1),(142,1),(150,1),(159,1),(194,1),(199,1)}
       128:{1,2,4,7}:{(92,1),(93,1),(95,1),(98,1),(160,1),(195,1),(200,1)}
       129:{1,2,3,6,7}:{(93,1),(96,1),(99,1),(162,1),(196,1),(198,1),(201,1),(203,1),(207,1)}
       130:{1,4,5,7}:{(94,1),(95,1),(100,1),(144,1),(163,1),(164,1)}
       131:{1,4,6,7}:{(95,1),(96,1),(101,1),(163,1),(164,1)}
       132:{2,4,5,7}:{(97,1),(98,1),(100,1),(152,1),(165,1),(166,1)}
       133:{2,4,6,7}:{(98,1),(99,1),(101,1),(165,1),(166,1)}
       134:{3,4,6}:{(100,1),(163,1),(165,1),(167,1),(207,1),(227,1)}
       135:{3,5,7}:{(101,1),(164,1),(166,1),(167,1),(168,1)}
       136:{4,6,7}:{(102,1),(168,1),(227,1)}
       137:{2,3,5,6}:{(103,1),(105,1),(121,1),(169,1),(170,1),(172,1),(212,1),(228,1)}
       138:{1,2,5,7}:{(103,1),(104,1),(106,1),(170,1),(171,1)}
       139:{1,3,6,7}:{(104,1),(123,1),(171,1),(175,1),(185,1)}
       140:{2,3,4,6}:{(105,1),(107,1),(108,1),(126,1),(169,1),(172,1),(173,1),(212,1)}
       141:{2,3,7}:{(105,1),(106,1)}
       142:{1,2,5}:{(108,1),(110,1),(172,1)}
       143:{1,2,4,7}:{(108,1),(109,1),(111,1),(173,1),(174,1)}
       144:{1,3,5,7}:{(110,1),(111,1),(130,1),(174,1),(175,1),(187,1)}
       145:{1,3,5,6}:{(112,1),(114,1),(121,1),(176,1),(177,1),(179,1),(215,1),(229,1)}
       146:{1,2,5,7}:{(112,1),(113,1),(115,1),(177,1),(178,1)}
       147:{2,3,6,7}:{(113,1),(124,1),(178,1),(182,1),(185,1)}
       148:{1,3,4,6}:{(114,1),(116,1),(117,1),(126,1),(176,1),(179,1),(180,1),(215,1)}
       149:{1,3,7}:{(114,1),(115,1)}
       150:{1,2,5}:{(117,1),(119,1),(179,1)}
       151:{1,2,4,7}:{(117,1),(118,1),(120,1),(180,1),(181,1)}
       152:{2,3,5,7}:{(119,1),(120,1),(132,1),(181,1),(182,1),(187,1)}
       153:{3,4,6}:{(121,1),(169,1),(176,1),(183,1),(184,1)}
       154:{3,5,7}:{(121,1),(122,1),(184,1),(185,1)}
       155:{1,2,4,6,7}:{(122,1),(123,1),(124,1),(171,1),(178,1),(185,1),(186,1),(189,1),(211,1),(214,1),(218,1)}
       156:{1,5,6,7}:{(123,1),(125,1),(191,1)}
       157:{2,5,6,7}:{(124,1),(125,1),(192,1)}
       158:{4,5,6,7}:{(125,1),(193,1),(218,1)}
       159:{3,5}:{(126,1),(127,1)}
       160:{3,4,7}:{(126,1),(128,1),(187,1)}
       161:{1,2,4,5,7}:{(127,1),(128,1),(130,1),(132,1),(174,1),(181,1),(187,1),(189,1),(190,1),(210,1),(213,1),(220,1)}
       162:{1,2,4,6,7}:{(128,1),(129,1),(131,1),(133,1),(188,1),(189,1),(190,1),(211,1),(214,1)}
       163:{1,4,6}:{(130,1),(134,1),(175,1),(191,1)}
       164:{1,5,7}:{(131,1),(135,1),(191,1)}
       165:{2,4,6}:{(132,1),(134,1),(182,1),(192,1)}
       166:{2,5,7}:{(133,1),(135,1),(192,1)}
       167:{3,5,6}:{(134,1),(135,1),(191,1),(192,1),(193,1)}
       168:{4,5,7}:{(135,1),(136,1),(193,1)}
       169:{2,4,6}:{(137,1),(153,1),(194,1),(195,1)}
       170:{2,3,5,7}:{(137,1),(138,1),(141,1),(154,1),(195,1),(196,1),(222,1)}
       171:{1,2,6,7}:{(138,1),(139,1),(196,1),(198,1)}
       172:{2,3,5}:{(140,1),(142,1),(159,1),(194,1)}
       173:{2,3,4,7}:{(140,1),(141,1),(143,1),(160,1),(195,1),(197,1)}
       174:{1,2,5,7}:{(142,1),(143,1),(144,1),(197,1),(198,1)}
       175:{1,3,6}:{(144,1),(163,1),(198,1),(207,1)}
       176:{1,4,6}:{(145,1),(153,1),(199,1),(200,1)}
       177:{1,3,5,7}:{(145,1),(146,1),(149,1),(154,1),(200,1),(201,1),(224,1)}
       178:{1,2,6,7}:{(146,1),(147,1),(201,1),(203,1)}
       179:{1,3,5}:{(148,1),(150,1),(159,1),(199,1)}
       180:{1,3,4,7}:{(148,1),(149,1),(151,1),(160,1),(200,1),(202,1)}
       181:{1,2,5,7}:{(150,1),(151,1),(152,1),(202,1),(203,1)}
       182:{2,3,6}:{(152,1),(165,1),(203,1),(207,1)}
       183:{3,4,5}:{(153,1),(159,1),(194,1),(199,1)}
       184:{3,4,7}:{(153,1),(154,1),(195,1),(200,1)}
       185:{3,6,7}:{(154,1),(155,1),(207,1)}
       186:{1,2,5,6,7}:{(155,1),(156,1),(157,1),(206,1),(209,1),(222,1),(224,1)}
       187:{3,5,7}:{(159,1),(160,1),(161,1),(207,1)}
       188:{3,4,6,7}:{(160,1),(162,1),(207,1),(208,1),(227,1)}
       189:{1,2,4,6}:{(161,1),(163,1),(165,1),(198,1),(203,1),(207,1),(209,1),(221,1),(223,1),(227,1)}
       190:{1,2,5,7}:{(162,1),(164,1),(166,1),(208,1),(209,1),(222,1),(224,1)}
       191:{1,5,6}:{(163,1),(164,1),(167,1)}
       192:{2,5,6}:{(165,1),(166,1),(167,1)}
       193:{4,5,6}:{(167,1),(168,1),(227,1)}
       194:{2,4,5}:{(169,1),(172,1),(183,1)}
       195:{2,4,7}:{(169,1),(170,1),(184,1)}
       196:{2,3,6,7}:{(170,1),(171,1),(185,1),(211,1),(212,1)}
       197:{2,3,5,7}:{(172,1),(173,1),(174,1),(187,1),(210,1),(212,1)}
       198:{1,2,6}:{(174,1),(175,1),(212,1)}
       199:{1,4,5}:{(176,1),(179,1),(183,1)}
       200:{1,4,7}:{(176,1),(177,1),(184,1)}
       201:{1,3,6,7}:{(177,1),(178,1),(185,1),(214,1),(215,1)}
       202:{1,3,5,7}:{(179,1),(180,1),(181,1),(187,1),(213,1),(215,1)}
       203:{1,2,6}:{(181,1),(182,1),(215,1)}
       204:{3,4,5,7}:{(183,1),(184,1),(187,1),(210,1),(213,1),(216,1),(217,1),(220,1)}
       205:{3,4,6,7}:{(184,1),(185,1),(211,1),(214,1),(216,1),(217,1),(218,1)}
       206:{3,5,6,7}:{(185,1),(186,1),(217,1),(218,1),(219,1)}
       207:{3,6}:{(187,1),(189,1)}
       208:{3,5,7}:{(188,1),(190,1),(219,1),(220,1)}
       209:{1,2,5,6}:{(189,1),(190,1),(191,1),(192,1),(219,1),(228,1),(229,1)}
       210:{2,4,5,7}:{(194,1),(195,1),(197,1),(204,1),(221,1),(222,1)}
       211:{2,4,6,7}:{(195,1),(196,1),(205,1),(221,1),(222,1)}
       212:{2,3,6}:{(197,1),(198,1),(207,1),(221,1)}
       213:{1,4,5,7}:{(199,1),(200,1),(202,1),(204,1),(223,1),(224,1)}
       214:{1,4,6,7}:{(200,1),(201,1),(205,1),(223,1),(224,1)}
       215:{1,3,6}:{(202,1),(203,1),(207,1),(223,1)}
       216:{3,4,6}:{(204,1),(207,1),(221,1),(223,1),(225,1),(227,1)}
       217:{3,5,7}:{(205,1),(222,1),(224,1),(225,1),(226,1)}
       218:{4,6,7}:{(206,1),(226,1),(227,1)}
       219:{3,5,6}:{(207,1),(208,1),(209,1),(227,1)}
       220:{4,5,7}:{(208,1),(227,1)}
       221:{2,4,6}:{(210,1),(212,1),(216,1),(228,1)}
       222:{2,5,7}:{(211,1),(217,1),(228,1)}
       223:{1,4,6}:{(213,1),(215,1),(216,1),(229,1)}
       224:{1,5,7}:{(214,1),(217,1),(229,1)}
       225:{3,5,6}:{(216,1),(217,1),(228,1),(229,1),(230,1)}
       226:{4,5,7}:{(217,1),(218,1),(230,1)}
       227:{4,6}:{(219,1),(220,1)}
       228:{2,5,6}:{(221,1),(222,1),(225,1)}
       229:{1,5,6}:{(223,1),(224,1),(225,1)}
       230:{4,5,6}:{(225,1),(226,1),(227,1)}

1369 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(20,1),(51,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(32,1),(66,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(46,1),(81,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(18,1),(23,1),(45,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(19,1),(23,1),(44,1),(83,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(61,1),(101,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(60,1),(100,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(30,1),(31,1),(103,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(43,1),(81,1),(154,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(21,1),(23,1),(39,1),(46,1)}
        13:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(23,1),(37,1),(46,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(23,1),(122,1)}
        15:{1,2,3,5,6,7}:{(8,1),(23,1),(24,1),(44,1),(45,1),(47,1),(50,1),(74,1),(82,1),(83,1),(84,1),(125,1),(157,1),(169,1),(171,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(27,1),(101,1),(162,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(28,1),(100,1),(158,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(27,1),(30,1),(32,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(28,1),(31,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(29,1),(30,1),(31,1),(32,1),(60,1),(61,1)}
        21:{1,2,4,6,7}:{(12,1),(30,1),(33,1),(54,1),(60,1)}
        22:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(52,1),(61,1)}
        23:{3,6,7}:{(14,1),(32,1),(142,1)}
        24:{1,2,4,6,7}:{(15,1),(35,1),(36,1),(60,1),(61,1),(94,1),(100,1),(101,1),(173,1),(174,1)}
        25:{2,3,4,5,7}:{(19,1),(37,1),(38,1),(46,1),(77,1),(79,1),(108,1),(121,1),(144,1)}
        26:{1,3,4,5,7}:{(18,1),(39,1),(40,1),(46,1),(77,1),(80,1),(113,1),(121,1),(149,1)}
        27:{1,3,5,6}:{(16,1),(18,1),(39,1),(41,1),(43,1),(149,1)}
        28:{2,3,5,6}:{(17,1),(19,1),(37,1),(42,1),(43,1),(144,1)}
        29:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(41,1),(42,1),(43,1),(75,1),(76,1),(117,1),(122,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(41,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(42,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(43,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(71,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(68,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(50,1),(81,1),(116,1),(157,1),(172,1)}
        36:{1,2,4,5,7}:{(24,1),(50,1),(51,1),(79,1),(80,1),(82,1),(117,1)}
        37:{2,3,4,6}:{(25,1),(28,1),(52,1),(58,1),(100,1),(142,1)}
        38:{1,2,4,5,7}:{(25,1),(31,1),(52,1),(53,1),(61,1),(88,1),(96,1),(127,1)}
        39:{1,3,4,6}:{(26,1),(27,1),(54,1),(58,1),(101,1),(142,1)}
        40:{1,2,4,5,7}:{(26,1),(30,1),(54,1),(55,1),(60,1),(92,1),(95,1),(133,1)}
        41:{1,2,5,6}:{(27,1),(30,1),(54,1),(56,1),(133,1)}
        42:{1,2,5,6}:{(28,1),(31,1),(52,1),(57,1),(127,1)}
        43:{3,5,6}:{(29,1),(32,1),(58,1),(138,1),(142,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(56,1),(60,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(57,1),(61,1)}
        46:{3,4,7}:{(32,1),(58,1),(60,1),(61,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(59,1),(63,1),(86,1),(90,1),(142,1),(161,1),(165,1)}
        48:{2,3,4,6,7}:{(33,1),(35,1),(60,1),(63,1),(64,1),(91,1),(98,1),(100,1),(126,1),(142,1),(161,1),(173,1)}
        49:{1,3,4,6,7}:{(34,1),(35,1),(61,1),(63,1),(65,1),(87,1),(98,1),(101,1),(132,1),(142,1),(165,1),(174,1)}
        50:{3,5,7}:{(35,1),(36,1),(66,1),(138,1)}
        51:{1,2,4,5,6}:{(36,1),(66,1),(100,1),(101,1),(103,1)}
        52:{1,2,4,6}:{(37,1),(38,1),(42,1),(68,1),(76,1)}
        53:{1,3,5,7}:{(38,1),(68,1),(70,1),(107,1),(121,1)}
        54:{1,2,4,6}:{(39,1),(40,1),(41,1),(71,1),(75,1)}
        55:{2,3,5,7}:{(40,1),(71,1),(73,1),(112,1),(121,1)}
        56:{2,3,5,6}:{(41,1),(43,1),(44,1),(71,1),(75,1),(112,1)}
        57:{1,3,5,6}:{(42,1),(43,1),(45,1),(68,1),(76,1),(107,1)}
        58:{3,4,6}:{(43,1),(46,1),(75,1),(76,1),(77,1)}
        59:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(74,1),(78,1),(82,1),(121,1),(169,1),(171,1)}
        60:{2,4,7}:{(44,1),(46,1),(75,1)}
        61:{1,4,7}:{(45,1),(46,1),(76,1)}
        62:{3,4,5,7}:{(46,1),(50,1),(77,1),(79,1),(80,1),(81,1),(121,1),(154,1),(172,1)}
        63:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(78,1),(82,1),(106,1),(111,1),(122,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(79,1),(82,1),(83,1),(112,1),(121,1),(144,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(80,1),(82,1),(84,1),(107,1),(121,1),(149,1)}
        66:{3,5,6}:{(50,1),(51,1),(81,1)}
        67:{1,2,4,5,6,7}:{(51,1),(85,1),(123,1),(124,1),(125,1),(156,1)}
        68:{1,3,6}:{(52,1),(53,1),(142,1)}
        69:{1,2,3,5,7}:{(53,1),(86,1),(88,1),(127,1),(129,1)}
        70:{1,3,4,7}:{(53,1),(61,1),(87,1),(88,1),(98,1)}
        71:{2,3,6}:{(54,1),(55,1),(142,1)}
        72:{1,2,3,5,7}:{(55,1),(90,1),(92,1),(133,1),(135,1)}
        73:{2,3,4,7}:{(55,1),(60,1),(91,1),(92,1),(98,1)}
        74:{1,2,3,5,6}:{(56,1),(57,1),(59,1),(86,1),(90,1),(94,1),(103,1),(127,1),(133,1),(138,1),(142,1),(159,1),(163,1)}
        75:{2,4,6}:{(56,1),(58,1),(60,1),(95,1)}
        76:{1,4,6}:{(57,1),(58,1),(61,1),(96,1)}
        77:{3,4,5}:{(58,1),(95,1),(96,1),(138,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(61,1),(94,1),(98,1),(173,1),(174,1)}
        79:{2,4,5,7}:{(60,1),(62,1),(64,1),(95,1),(100,1),(158,1),(173,1)}
        80:{1,4,5,7}:{(61,1),(62,1),(65,1),(96,1),(101,1),(162,1),(174,1)}
        81:{3,4,6}:{(62,1),(66,1),(100,1),(101,1),(142,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(65,1),(103,1),(127,1),(133,1)}
        83:{2,3,5,6}:{(64,1),(66,1),(100,1),(103,1),(142,1)}
        84:{1,3,5,6}:{(65,1),(66,1),(101,1),(103,1),(142,1)}
        85:{3,5,6,7}:{(66,1),(67,1),(102,1),(167,1)}
        86:{1,2,3,6}:{(68,1),(69,1),(106,1),(147,1)}
        87:{1,3,4,6}:{(68,1),(70,1),(76,1),(106,1),(107,1),(116,1)}
        88:{1,2,4,7}:{(69,1),(70,1),(106,1),(108,1)}
        89:{1,3,4,5,7}:{(70,1),(80,1),(107,1),(109,1),(110,1),(121,1),(146,1),(154,1),(172,1)}
        90:{1,2,3,6}:{(71,1),(72,1),(111,1),(152,1)}
        91:{2,3,4,6}:{(71,1),(73,1),(75,1),(111,1),(112,1),(116,1)}
        92:{1,2,4,7}:{(72,1),(73,1),(111,1),(113,1)}
        93:{2,3,4,5,7}:{(73,1),(79,1),(112,1),(114,1),(115,1),(121,1),(151,1),(154,1),(172,1)}
        94:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(116,1),(117,1),(168,1),(170,1)}
        95:{2,4,5}:{(75,1),(77,1),(112,1)}
        96:{1,4,5}:{(76,1),(77,1),(107,1)}
        97:{3,4,5,6}:{(77,1),(81,1),(118,1),(119,1),(120,1),(155,1)}
        98:{3,4,7}:{(78,1),(116,1),(121,1)}
        99:{1,2,4,5,7}:{(78,1),(79,1),(80,1),(82,1),(117,1),(121,1),(122,1)}
       100:{2,4,6}:{(79,1),(81,1),(83,1)}
       101:{1,4,6}:{(80,1),(81,1),(84,1)}
       102:{3,4,6,7}:{(81,1),(85,1),(120,1),(123,1),(124,1),(157,1),(172,1)}
       103:{1,2,5,6}:{(82,1),(83,1),(84,1),(122,1)}
       104:{2,3,5,6,7}:{(83,1),(85,1),(123,1),(125,1),(151,1),(157,1),(169,1)}
       105:{1,3,5,6,7}:{(84,1),(85,1),(124,1),(125,1),(146,1),(157,1),(171,1)}
       106:{1,2,4,6}:{(86,1),(87,1),(88,1),(126,1),(127,1)}
       107:{1,3,5}:{(87,1),(96,1),(127,1),(138,1)}
       108:{2,3,4,7}:{(88,1),(98,1),(126,1),(129,1),(173,1)}
       109:{1,2,4,5,7}:{(88,1),(89,1),(127,1),(129,1),(130,1),(158,1),(160,1),(173,1)}
       110:{1,3,4,6}:{(89,1),(101,1),(128,1),(130,1),(142,1),(166,1)}
       111:{1,2,4,6}:{(90,1),(91,1),(92,1),(132,1),(133,1)}
       112:{2,3,5}:{(91,1),(95,1),(133,1),(138,1)}
       113:{1,3,4,7}:{(92,1),(98,1),(132,1),(135,1),(174,1)}
       114:{1,2,4,5,7}:{(92,1),(93,1),(133,1),(135,1),(136,1),(162,1),(164,1),(174,1)}
       115:{2,3,4,6}:{(93,1),(100,1),(134,1),(136,1),(142,1),(166,1)}
       116:{3,4,6}:{(94,1),(98,1),(138,1),(142,1)}
       117:{1,2,4,5}:{(94,1),(95,1),(96,1),(127,1),(133,1),(138,1),(158,1),(162,1)}
       118:{2,4,5,6}:{(95,1),(97,1),(100,1),(134,1),(140,1)}
       119:{1,4,5,6}:{(96,1),(97,1),(101,1),(128,1),(141,1)}
       120:{3,4,5,7}:{(97,1),(102,1),(140,1),(141,1),(167,1)}
       121:{3,5,7}:{(98,1),(99,1),(138,1),(142,1)}
       122:{1,2,4,6}:{(99,1),(100,1),(101,1),(103,1),(142,1)}
       123:{2,4,6,7}:{(100,1),(102,1),(104,1),(140,1),(173,1)}
       124:{1,4,6,7}:{(101,1),(102,1),(105,1),(141,1),(174,1)}
       125:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(143,1),(160,1),(164,1)}
       126:{2,3,4,6}:{(106,1),(108,1),(116,1),(144,1),(147,1),(168,1)}
       127:{1,2,5}:{(106,1),(107,1),(144,1)}
       128:{1,3,5,6}:{(107,1),(110,1),(119,1),(145,1),(146,1),(155,1)}
       129:{2,3,5,7}:{(108,1),(109,1),(121,1),(144,1),(147,1)}
       130:{1,2,4,6}:{(109,1),(110,1),(145,1),(147,1),(168,1)}
       131:{1,3,4,6,7}:{(110,1),(124,1),(146,1),(148,1),(157,1),(172,1)}
       132:{1,3,4,6}:{(111,1),(113,1),(116,1),(149,1),(152,1),(170,1)}
       133:{1,2,5}:{(111,1),(112,1),(149,1)}
       134:{2,3,5,6}:{(112,1),(115,1),(118,1),(150,1),(151,1),(155,1)}
       135:{1,3,5,7}:{(113,1),(114,1),(121,1),(149,1),(152,1)}
       136:{1,2,4,6}:{(114,1),(115,1),(150,1),(152,1),(170,1)}
       137:{2,3,4,6,7}:{(115,1),(123,1),(151,1),(153,1),(157,1),(172,1)}
       138:{3,5}:{(116,1),(117,1)}
       139:{1,2,4,5,6}:{(117,1),(118,1),(119,1),(122,1),(145,1),(150,1),(155,1),(156,1),(168,1),(170,1)}
       140:{2,4,5,7}:{(118,1),(120,1),(123,1),(151,1)}
       141:{1,4,5,7}:{(119,1),(120,1),(124,1),(146,1)}
       142:{3,6}:{(121,1),(122,1)}
       143:{1,2,4,6,7}:{(122,1),(123,1),(124,1),(125,1),(156,1),(157,1)}
       144:{2,3,5}:{(126,1),(127,1),(138,1),(158,1)}
       145:{1,2,5,6}:{(127,1),(128,1),(130,1),(159,1),(160,1)}
       146:{1,3,5,7}:{(128,1),(131,1),(141,1),(160,1),(167,1)}
       147:{2,3,6}:{(129,1),(130,1),(142,1)}
       148:{1,2,4,6,7}:{(130,1),(131,1),(160,1),(161,1),(173,1)}
       149:{1,3,5}:{(132,1),(133,1),(138,1),(162,1)}
       150:{1,2,5,6}:{(133,1),(134,1),(136,1),(163,1),(164,1)}
       151:{2,3,5,7}:{(134,1),(137,1),(140,1),(164,1),(167,1)}
       152:{1,3,6}:{(135,1),(136,1),(142,1)}
       153:{1,2,4,6,7}:{(136,1),(137,1),(164,1),(165,1),(174,1)}
       154:{3,4,5}:{(138,1),(158,1),(162,1),(166,1)}
       155:{3,5,6}:{(138,1),(139,1),(142,1),(166,1),(167,1)}
       156:{1,2,4,5,7}:{(139,1),(140,1),(141,1),(143,1),(160,1),(164,1),(167,1),(173,1),(174,1)}
       157:{3,6,7}:{(142,1),(143,1),(167,1)}
       158:{2,4,5}:{(144,1),(154,1),(168,1)}
       159:{2,3,5,6}:{(144,1),(145,1),(147,1),(155,1),(168,1),(169,1)}
       160:{1,2,5,7}:{(145,1),(146,1),(148,1),(169,1)}
       161:{2,3,6,7}:{(147,1),(148,1),(157,1),(169,1)}
       162:{1,4,5}:{(149,1),(154,1),(170,1)}
       163:{1,3,5,6}:{(149,1),(150,1),(152,1),(155,1),(170,1),(171,1)}
       164:{1,2,5,7}:{(150,1),(151,1),(153,1),(171,1)}
       165:{1,3,6,7}:{(152,1),(153,1),(157,1),(171,1)}
       166:{3,4,6}:{(154,1),(155,1),(168,1),(170,1),(172,1)}
       167:{3,5,7}:{(155,1),(156,1),(157,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(166,1),(173,1)}
       169:{2,3,5,7}:{(159,1),(160,1),(161,1),(167,1),(173,1)}
       170:{1,4,6}:{(162,1),(163,1),(166,1),(174,1)}
       171:{1,3,5,7}:{(163,1),(164,1),(165,1),(167,1),(174,1)}
       172:{3,4,7}:{(166,1),(167,1),(173,1),(174,1)}
       173:{2,4,7}:{(168,1),(169,1),(172,1)}
       174:{1,4,7}:{(170,1),(171,1),(172,1)}

1370 :   0:{3,4,5,6,7}:{(1,1),(2,1),(10,1),(84,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(94,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(96,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(10,1),(80,1)}
         4:{2,3,5,6,7}:{(2,1),(7,1),(9,1),(10,1),(82,1)}
         5:{1,2,4,5,6,7}:{(1,1),(2,1),(8,1),(9,1),(10,1),(25,1),(26,1),(51,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(17,1)}
         7:{2,3,4,6,7}:{(4,1),(12,1),(14,1),(17,1)}
         8:{1,2,5,6,7}:{(3,1),(13,1),(15,1),(63,1)}
         9:{1,2,5,6,7}:{(4,1),(14,1),(16,1),(66,1)}
        10:{3,5,6,7}:{(5,1),(17,1),(68,1)}
        11:{1,3,4,5,7}:{(6,1),(18,1),(20,1),(27,1),(74,1),(80,1)}
        12:{2,3,4,5,7}:{(7,1),(19,1),(21,1),(27,1),(77,1),(82,1)}
        13:{1,2,4,6,7}:{(6,1),(8,1),(20,1),(22,1),(25,1)}
        14:{1,2,4,6,7}:{(7,1),(9,1),(21,1),(23,1),(26,1)}
        15:{2,3,5,6,7}:{(8,1),(10,1),(22,1),(25,1),(47,1)}
        16:{1,3,5,6,7}:{(9,1),(10,1),(23,1),(26,1),(49,1)}
        17:{3,4,6,7}:{(10,1),(25,1),(26,1),(27,1)}
        18:{1,3,4,5,6}:{(11,1),(28,1),(39,1),(86,1),(95,1)}
        19:{2,3,4,5,6}:{(12,1),(29,1),(39,1),(88,1),(97,1)}
        20:{1,2,4,5,7}:{(11,1),(13,1),(28,1),(30,1),(37,1),(58,1),(63,1)}
        21:{1,2,4,5,7}:{(12,1),(14,1),(29,1),(31,1),(38,1),(60,1),(66,1)}
        22:{2,3,6,7}:{(13,1),(30,1)}
        23:{1,3,6,7}:{(14,1),(31,1)}
        24:{1,2,3,5,6,7}:{(15,1),(16,1),(32,1),(34,1),(36,1),(63,1),(66,1),(68,1),(95,1),(97,1)}
        25:{2,4,6,7}:{(15,1),(17,1),(37,1)}
        26:{1,4,6,7}:{(16,1),(17,1),(38,1)}
        27:{3,4,5,7}:{(17,1),(37,1),(38,1),(39,1),(68,1)}
        28:{1,2,4,5,6}:{(18,1),(20,1),(40,1),(52,1),(70,1),(81,1)}
        29:{1,2,4,5,6}:{(19,1),(21,1),(41,1),(53,1),(72,1),(83,1)}
        30:{2,3,5,7}:{(20,1),(22,1),(40,1),(43,1)}
        31:{1,3,5,7}:{(21,1),(23,1),(41,1),(45,1)}
        32:{1,2,3,6,7}:{(22,1),(42,1),(46,1),(101,1)}
        33:{2,3,4,6,7}:{(22,1),(25,1),(43,1),(46,1),(47,1),(50,1),(76,1)}
        34:{1,2,3,6,7}:{(23,1),(44,1),(48,1),(102,1)}
        35:{1,3,4,6,7}:{(23,1),(26,1),(45,1),(48,1),(49,1),(50,1),(79,1)}
        36:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(50,1),(51,1),(103,1),(104,1)}
        37:{2,4,5,7}:{(25,1),(27,1),(47,1),(52,1)}
        38:{1,4,5,7}:{(26,1),(27,1),(49,1),(53,1)}
        39:{3,4,5,6}:{(27,1),(52,1),(53,1),(85,1)}
        40:{2,3,5,6}:{(28,1),(30,1),(55,1)}
        41:{1,3,5,6}:{(29,1),(31,1),(57,1)}
        42:{1,2,3,5,7}:{(30,1),(32,1),(54,1),(58,1),(63,1),(90,1)}
        43:{2,3,4,7}:{(30,1),(55,1),(58,1)}
        44:{1,2,3,5,7}:{(31,1),(34,1),(56,1),(60,1),(66,1),(92,1)}
        45:{1,3,4,7}:{(31,1),(57,1),(60,1)}
        46:{1,2,4,6,7}:{(32,1),(33,1),(58,1),(62,1),(63,1),(91,1)}
        47:{2,3,5,7}:{(33,1),(37,1),(63,1),(64,1),(68,1)}
        48:{1,2,4,6,7}:{(34,1),(35,1),(60,1),(65,1),(66,1),(93,1)}
        49:{1,3,5,7}:{(35,1),(38,1),(66,1),(67,1),(68,1)}
        50:{3,4,6,7}:{(36,1),(68,1),(98,1)}
        51:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(63,1),(66,1),(68,1),(69,1),(94,1),(96,1)}
        52:{2,4,5,6}:{(37,1),(39,1),(64,1)}
        53:{1,4,5,6}:{(38,1),(39,1),(67,1)}
        54:{1,2,3,5,6}:{(40,1),(42,1),(70,1),(81,1),(99,1),(101,1)}
        55:{2,3,4,6}:{(40,1),(43,1),(70,1),(71,1)}
        56:{1,2,3,5,6}:{(41,1),(44,1),(72,1),(83,1),(100,1),(102,1)}
        57:{1,3,4,6}:{(41,1),(45,1),(72,1),(73,1)}
        58:{1,2,4,7}:{(42,1),(43,1),(70,1),(74,1)}
        59:{2,3,4,5,7}:{(43,1),(47,1),(71,1),(75,1),(76,1),(84,1)}
        60:{1,2,4,7}:{(44,1),(45,1),(72,1),(77,1)}
        61:{1,3,4,5,7}:{(45,1),(49,1),(73,1),(78,1),(79,1),(84,1)}
        62:{1,3,4,6,7}:{(46,1),(50,1),(74,1),(80,1),(101,1),(103,1)}
        63:{1,2,5,7}:{(46,1),(47,1),(80,1),(81,1)}
        64:{2,3,5,6}:{(47,1),(52,1),(76,1),(81,1),(85,1)}
        65:{2,3,4,6,7}:{(48,1),(50,1),(77,1),(82,1),(102,1),(104,1)}
        66:{1,2,5,7}:{(48,1),(49,1),(82,1),(83,1)}
        67:{1,3,5,6}:{(49,1),(53,1),(79,1),(83,1),(85,1)}
        68:{3,5,7}:{(50,1),(51,1),(85,1)}
        69:{1,2,4,5,6}:{(51,1),(52,1),(53,1),(81,1),(83,1),(85,1),(103,1),(104,1)}
        70:{1,2,4,6}:{(54,1),(55,1),(58,1),(86,1),(87,1)}
        71:{2,3,4,5}:{(55,1),(87,1)}
        72:{1,2,4,6}:{(56,1),(57,1),(60,1),(88,1),(89,1)}
        73:{1,3,4,5}:{(57,1),(89,1)}
        74:{1,3,4,7}:{(58,1),(86,1),(90,1)}
        75:{1,2,4,5,7}:{(58,1),(59,1),(63,1),(87,1),(90,1),(91,1),(94,1)}
        76:{2,3,4,6}:{(59,1),(64,1),(91,1),(98,1)}
        77:{2,3,4,7}:{(60,1),(88,1),(92,1)}
        78:{1,2,4,5,7}:{(60,1),(61,1),(66,1),(89,1),(92,1),(93,1),(96,1)}
        79:{1,3,4,6}:{(61,1),(67,1),(93,1),(98,1)}
        80:{1,3,5,7}:{(62,1),(63,1),(68,1),(94,1),(95,1)}
        81:{1,2,5,6}:{(63,1),(64,1),(91,1),(95,1)}
        82:{2,3,5,7}:{(65,1),(66,1),(68,1),(96,1),(97,1)}
        83:{1,2,5,6}:{(66,1),(67,1),(93,1),(97,1)}
        84:{3,4,5,7}:{(68,1),(94,1),(96,1),(98,1)}
        85:{3,5,6}:{(68,1),(69,1),(98,1)}
        86:{1,3,4,6}:{(70,1),(74,1),(99,1),(101,1)}
        87:{1,2,4,5}:{(70,1),(71,1),(99,1)}
        88:{2,3,4,6}:{(72,1),(77,1),(100,1),(102,1)}
        89:{1,2,4,5}:{(72,1),(73,1),(100,1)}
        90:{1,3,5,7}:{(74,1),(75,1),(99,1),(101,1)}
        91:{1,2,4,6}:{(75,1),(76,1),(81,1),(101,1),(103,1)}
        92:{2,3,5,7}:{(77,1),(78,1),(100,1),(102,1)}
        93:{1,2,4,6}:{(78,1),(79,1),(83,1),(102,1),(104,1)}
        94:{1,4,5,7}:{(80,1),(84,1),(103,1)}
        95:{1,3,5,6}:{(80,1),(81,1),(85,1),(101,1),(103,1)}
        96:{2,4,5,7}:{(82,1),(84,1),(104,1)}
        97:{2,3,5,6}:{(82,1),(83,1),(85,1),(102,1),(104,1)}
        98:{3,4,6}:{(84,1),(85,1),(103,1),(104,1)}
        99:{1,3,5}:{(86,1),(87,1)}
       100:{2,3,5}:{(88,1),(89,1)}
       101:{1,3,6}:{(90,1),(91,1)}
       102:{2,3,6}:{(92,1),(93,1)}
       103:{1,4,6}:{(94,1),(95,1),(98,1)}
       104:{2,4,6}:{(96,1),(97,1),(98,1)}

1371 :   0:{1,2,3,5,7}:{(2,1),(4,1),(6,1),(7,1),(27,1),(29,1),(33,1),(35,1),(39,1),(40,1)}
         1:{3,4,5,7}:{(8,1),(9,1),(10,1),(39,1),(47,1),(82,1),(92,1),(99,1),(154,1),(166,1),(171,1)}
         2:{1,2,3,7}:{(11,1),(12,1),(124,1),(182,1),(219,1)}
         3:{2,3,4,7}:{(12,1),(13,1),(14,1),(19,1),(119,1),(125,1),(182,1)}
         4:{1,2,3,7}:{(15,1),(16,1),(111,1),(192,1),(224,1)}
         5:{1,3,4,7}:{(16,1),(17,1),(18,1),(19,1),(113,1),(132,1),(192,1)}
         6:{1,2,3,6}:{(0,1),(20,1),(52,1),(60,1),(67,1)}
         7:{1,2,4,7}:{(0,1),(19,1),(20,1),(50,1),(58,1)}
         8:{2,4,5,7}:{(1,1),(14,1),(22,1),(53,1),(71,1),(119,1),(130,1),(193,1)}
         9:{1,4,5,7}:{(1,1),(18,1),(23,1),(61,1),(73,1),(117,1),(132,1),(183,1)}
        10:{3,4,6}:{(1,1),(22,1),(23,1),(24,1),(67,1),(137,1)}
        11:{1,2,3,6}:{(2,1),(27,1),(28,1),(151,1),(203,1)}
        12:{1,2,4,7}:{(2,1),(3,1),(26,1),(28,1),(29,1),(160,1)}
        13:{2,3,4,6}:{(3,1),(28,1),(30,1),(31,1),(38,1),(78,1),(83,1),(151,1)}
        14:{2,3,5,7}:{(3,1),(8,1),(29,1),(30,1),(31,1),(39,1),(161,1),(212,1)}
        15:{1,2,3,6}:{(4,1),(33,1),(34,1),(163,1),(211,1)}
        16:{1,2,4,7}:{(4,1),(5,1),(32,1),(34,1),(35,1),(148,1)}
        17:{1,3,4,6}:{(5,1),(34,1),(36,1),(37,1),(38,1),(88,1),(93,1),(163,1)}
        18:{1,3,5,7}:{(5,1),(9,1),(35,1),(36,1),(37,1),(39,1),(150,1),(205,1)}
        19:{3,4,7}:{(7,1),(38,1),(39,1),(78,1),(88,1),(171,1)}
        20:{1,2,4,6}:{(6,1),(7,1),(38,1),(40,1)}
        21:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(29,1),(35,1),(39,1),(40,1),(41,1),(75,1),(79,1),(85,1),(89,1),(99,1),(102,1),(152,1),(164,1),(171,1)}
        22:{2,4,6}:{(8,1),(10,1),(31,1),(42,1)}
        23:{1,4,6}:{(9,1),(10,1),(37,1),(44,1)}
        24:{3,5,6}:{(10,1),(42,1),(44,1),(46,1),(47,1)}
        25:{3,4,6,7}:{(10,1),(43,1),(45,1),(47,1),(97,1),(101,1),(154,1),(166,1),(167,1),(168,1),(171,1)}
        26:{1,3,4,7}:{(12,1),(19,1),(48,1),(49,1),(126,1),(178,1),(182,1)}
        27:{1,2,3,5}:{(11,1),(50,1),(51,1),(111,1),(114,1),(179,1)}
        28:{1,2,4,6}:{(11,1),(12,1),(13,1),(48,1),(50,1),(51,1),(52,1)}
        29:{1,2,5,7}:{(12,1),(14,1),(49,1),(51,1),(52,1),(189,1),(224,1)}
        30:{2,3,5}:{(13,1),(51,1),(53,1),(66,1),(114,1)}
        31:{2,3,6}:{(14,1),(22,1),(52,1),(67,1)}
        32:{2,3,4,7}:{(16,1),(19,1),(56,1),(57,1),(112,1),(188,1),(192,1)}
        33:{1,2,3,5}:{(15,1),(58,1),(59,1),(124,1),(127,1),(189,1)}
        34:{1,2,4,6}:{(15,1),(16,1),(17,1),(56,1),(58,1),(59,1),(60,1)}
        35:{1,2,5,7}:{(16,1),(18,1),(57,1),(59,1),(60,1),(179,1),(219,1)}
        36:{1,3,5}:{(17,1),(59,1),(61,1),(66,1),(127,1)}
        37:{1,3,6}:{(18,1),(23,1),(60,1),(67,1)}
        38:{3,4,6}:{(19,1),(20,1),(66,1),(67,1),(137,1)}
        39:{3,5,7}:{(19,1),(21,1),(66,1),(67,1),(114,1),(127,1),(182,1),(192,1)}
        40:{1,2,5}:{(20,1),(66,1)}
        41:{1,2,4,6}:{(21,1),(22,1),(23,1),(52,1),(60,1),(67,1),(68,1),(107,1),(120,1),(137,1)}
        42:{2,5,6}:{(22,1),(24,1),(71,1)}
        43:{2,4,6,7}:{(22,1),(25,1),(55,1),(71,1),(119,1),(193,1),(195,1)}
        44:{1,5,6}:{(23,1),(24,1),(73,1)}
        45:{1,4,6,7}:{(23,1),(25,1),(63,1),(73,1),(132,1),(183,1),(194,1)}
        46:{4,5,6}:{(24,1),(74,1),(137,1)}
        47:{3,5,7}:{(24,1),(25,1),(71,1),(73,1),(74,1)}
        48:{1,3,4,6}:{(26,1),(28,1),(38,1),(76,1),(77,1),(78,1),(146,1),(151,1)}
        49:{1,3,5,7}:{(26,1),(29,1),(39,1),(75,1),(76,1),(77,1),(162,1),(213,1)}
        50:{1,2,4}:{(27,1),(78,1)}
        51:{1,2,5}:{(28,1),(30,1),(76,1)}
        52:{1,2,6}:{(29,1),(31,1),(77,1)}
        53:{2,4,5}:{(30,1),(82,1),(83,1),(99,1)}
        54:{2,3,5,6}:{(30,1),(31,1),(42,1),(80,1),(83,1),(84,1),(100,1),(103,1),(151,1)}
        55:{2,3,6,7}:{(31,1),(43,1),(81,1),(84,1),(101,1),(167,1),(212,1)}
        56:{2,3,4,6}:{(32,1),(34,1),(38,1),(86,1),(87,1),(88,1),(158,1),(163,1)}
        57:{2,3,5,7}:{(32,1),(35,1),(39,1),(85,1),(86,1),(87,1),(149,1),(204,1)}
        58:{1,2,4}:{(33,1),(88,1)}
        59:{1,2,5}:{(34,1),(36,1),(86,1)}
        60:{1,2,6}:{(35,1),(37,1),(87,1)}
        61:{1,4,5}:{(36,1),(92,1),(93,1),(99,1)}
        62:{1,3,5,6}:{(36,1),(37,1),(44,1),(90,1),(93,1),(94,1),(100,1),(105,1),(163,1)}
        63:{1,3,6,7}:{(37,1),(45,1),(91,1),(94,1),(101,1),(168,1),(205,1)}
        64:{3,5,6,7}:{(47,1),(95,1),(96,1),(97,1),(167,1),(168,1)}
        65:{3,4,5,7}:{(39,1),(75,1),(85,1),(98,1),(99,1),(145,1),(157,1),(170,1),(171,1),(202,1),(210,1)}
        66:{3,5}:{(38,1),(40,1),(99,1)}
        67:{3,6}:{(39,1),(41,1)}
        68:{1,2,5,6}:{(40,1),(41,1),(42,1),(44,1),(100,1),(102,1),(143,1),(155,1)}
        69:{1,2,4,6,7}:{(41,1),(43,1),(45,1),(81,1),(91,1),(101,1),(102,1),(144,1),(152,1),(156,1),(164,1),(171,1)}
        70:{2,4,5,6}:{(42,1),(46,1),(83,1),(103,1),(104,1)}
        71:{2,5,7}:{(42,1),(43,1),(47,1)}
        72:{1,4,5,6}:{(44,1),(46,1),(93,1),(105,1),(106,1)}
        73:{1,5,7}:{(44,1),(45,1),(47,1)}
        74:{4,5,7}:{(46,1),(47,1),(97,1),(171,1)}
        75:{1,4,5,7}:{(49,1),(65,1),(107,1),(108,1),(175,1),(178,1),(186,1),(223,1)}
        76:{1,3,5}:{(48,1),(51,1),(66,1),(108,1),(114,1)}
        77:{1,3,6}:{(49,1),(52,1),(67,1),(107,1)}
        78:{3,4}:{(50,1),(114,1)}
        79:{1,2,4,5}:{(50,1),(51,1),(53,1),(108,1),(114,1),(115,1),(117,1),(176,1),(179,1)}
        80:{1,2,5,6}:{(51,1),(52,1),(54,1),(109,1),(115,1),(116,1),(139,1),(216,1)}
        81:{1,2,6,7}:{(52,1),(55,1),(110,1),(116,1),(194,1),(224,1),(229,1)}
        82:{3,4,5}:{(53,1),(114,1),(117,1),(118,1)}
        83:{2,4,6}:{(53,1),(54,1),(118,1),(119,1),(137,1)}
        84:{2,3,5,7}:{(54,1),(55,1),(71,1),(116,1),(119,1),(138,1),(140,1),(182,1)}
        85:{2,4,5,7}:{(57,1),(65,1),(120,1),(121,1),(176,1),(185,1),(188,1),(218,1)}
        86:{2,3,5}:{(56,1),(59,1),(66,1),(121,1),(127,1)}
        87:{2,3,6}:{(57,1),(60,1),(67,1),(120,1)}
        88:{3,4}:{(58,1),(127,1)}
        89:{1,2,4,5}:{(58,1),(59,1),(61,1),(121,1),(127,1),(128,1),(130,1),(186,1),(189,1)}
        90:{1,2,5,6}:{(59,1),(60,1),(62,1),(122,1),(128,1),(129,1),(141,1),(221,1)}
        91:{1,2,6,7}:{(60,1),(63,1),(123,1),(129,1),(195,1),(219,1),(230,1)}
        92:{3,4,5}:{(61,1),(127,1),(130,1),(131,1)}
        93:{1,4,6}:{(61,1),(62,1),(131,1),(132,1),(137,1)}
        94:{1,3,5,7}:{(62,1),(63,1),(73,1),(129,1),(132,1),(138,1),(142,1),(192,1)}
        95:{2,5,6,7}:{(64,1),(71,1),(133,1),(195,1)}
        96:{1,5,6,7}:{(64,1),(73,1),(134,1),(194,1)}
        97:{4,6,7}:{(64,1),(74,1)}
        98:{3,4,6}:{(65,1),(67,1),(107,1),(120,1),(135,1),(137,1)}
        99:{4,5}:{(66,1),(137,1)}
       100:{3,5,6}:{(66,1),(67,1),(68,1),(137,1),(138,1)}
       101:{3,6,7}:{(67,1),(69,1),(138,1),(182,1),(192,1)}
       102:{1,2,5,7}:{(68,1),(69,1),(71,1),(73,1),(138,1),(175,1),(185,1)}
       103:{3,5,6}:{(70,1),(118,1),(139,1),(140,1)}
       104:{2,4,5,7}:{(70,1),(71,1),(74,1),(119,1),(133,1),(140,1)}
       105:{3,5,6}:{(72,1),(131,1),(141,1),(142,1)}
       106:{1,4,5,7}:{(72,1),(73,1),(74,1),(132,1),(134,1),(142,1)}
       107:{1,4,6}:{(75,1),(77,1),(98,1),(143,1)}
       108:{1,4,5}:{(76,1),(99,1),(145,1),(146,1)}
       109:{1,3,5,6}:{(76,1),(77,1),(80,1),(100,1),(143,1),(146,1),(147,1),(151,1),(199,1)}
       110:{1,3,6,7}:{(77,1),(81,1),(101,1),(144,1),(147,1),(213,1),(225,1)}
       111:{1,2,3}:{(148,1)}
       112:{2,3,4}:{(78,1),(148,1),(149,1)}
       113:{1,3,4}:{(78,1),(148,1),(150,1)}
       114:{3,5}:{(78,1),(79,1),(151,1)}
       115:{1,2,4,6}:{(79,1),(80,1),(83,1),(146,1),(151,1),(152,1),(153,1),(201,1),(203,1)}
       116:{1,2,5,7}:{(80,1),(81,1),(84,1),(147,1),(152,1),(172,1),(226,1)}
       117:{1,4,5}:{(82,1),(150,1),(153,1)}
       118:{3,4,6}:{(82,1),(83,1),(103,1),(151,1),(153,1),(154,1)}
       119:{2,4,7}:{(83,1),(84,1),(154,1),(171,1)}
       120:{2,4,6}:{(85,1),(87,1),(98,1),(155,1)}
       121:{2,4,5}:{(86,1),(99,1),(157,1),(158,1)}
       122:{2,3,5,6}:{(86,1),(87,1),(90,1),(100,1),(155,1),(158,1),(159,1),(163,1),(207,1)}
       123:{2,3,6,7}:{(87,1),(91,1),(101,1),(156,1),(159,1),(204,1),(227,1)}
       124:{1,2,3}:{(160,1)}
       125:{2,3,4}:{(88,1),(160,1),(161,1)}
       126:{1,3,4}:{(88,1),(160,1),(162,1)}
       127:{3,5}:{(88,1),(89,1),(163,1)}
       128:{1,2,4,6}:{(89,1),(90,1),(93,1),(158,1),(163,1),(164,1),(165,1),(209,1),(211,1)}
       129:{1,2,5,7}:{(90,1),(91,1),(94,1),(159,1),(164,1),(173,1),(228,1)}
       130:{2,4,5}:{(92,1),(161,1),(165,1)}
       131:{3,4,6}:{(92,1),(93,1),(105,1),(163,1),(165,1),(166,1)}
       132:{1,4,7}:{(93,1),(94,1),(166,1),(171,1)}
       133:{2,4,6,7}:{(95,1),(97,1),(104,1),(167,1)}
       134:{1,4,6,7}:{(96,1),(97,1),(106,1),(168,1)}
       135:{3,5,6}:{(98,1),(143,1),(155,1),(169,1),(170,1)}
       136:{3,4,6,7}:{(98,1),(101,1),(144,1),(156,1),(170,1),(171,1),(202,1),(210,1),(214,1),(225,1),(227,1)}
       137:{4,6}:{(99,1),(100,1),(171,1)}
       138:{3,5,7}:{(100,1),(101,1),(102,1),(171,1)}
       139:{1,5,6}:{(103,1),(153,1),(172,1)}
       140:{3,5,7}:{(103,1),(104,1),(154,1),(167,1),(172,1)}
       141:{2,5,6}:{(105,1),(165,1),(173,1)}
       142:{3,5,7}:{(105,1),(106,1),(166,1),(168,1),(173,1)}
       143:{1,5,6}:{(107,1),(135,1),(175,1)}
       144:{1,4,6,7}:{(107,1),(110,1),(136,1),(175,1),(178,1),(223,1),(230,1)}
       145:{3,4,5}:{(108,1),(114,1),(176,1),(177,1)}
       146:{1,4,6}:{(108,1),(109,1),(137,1),(177,1),(178,1)}
       147:{1,3,5,7}:{(109,1),(110,1),(116,1),(138,1),(175,1),(178,1),(182,1),(217,1)}
       148:{1,2,4}:{(111,1),(112,1),(113,1),(179,1)}
       149:{2,3,5}:{(112,1),(114,1),(176,1),(179,1),(180,1)}
       150:{1,3,5}:{(113,1),(114,1),(117,1),(179,1),(181,1)}
       151:{3,6}:{(114,1),(115,1),(182,1)}
       152:{1,2,4,7}:{(115,1),(116,1),(119,1),(178,1),(182,1),(183,1),(218,1),(219,1)}
       153:{1,4,6}:{(117,1),(118,1),(139,1),(181,1),(183,1)}
       154:{3,4,7}:{(118,1),(119,1),(140,1),(182,1),(183,1)}
       155:{2,5,6}:{(120,1),(135,1),(185,1)}
       156:{2,4,6,7}:{(120,1),(123,1),(136,1),(185,1),(188,1),(218,1),(229,1)}
       157:{3,4,5}:{(121,1),(127,1),(186,1),(187,1)}
       158:{2,4,6}:{(121,1),(122,1),(137,1),(187,1),(188,1)}
       159:{2,3,5,7}:{(122,1),(123,1),(129,1),(138,1),(185,1),(188,1),(192,1),(222,1)}
       160:{1,2,4}:{(124,1),(125,1),(126,1),(189,1)}
       161:{2,3,5}:{(125,1),(127,1),(130,1),(189,1),(190,1)}
       162:{1,3,5}:{(126,1),(127,1),(186,1),(189,1),(191,1)}
       163:{3,6}:{(127,1),(128,1),(192,1)}
       164:{1,2,4,7}:{(128,1),(129,1),(132,1),(188,1),(192,1),(193,1),(223,1),(224,1)}
       165:{2,4,6}:{(130,1),(131,1),(141,1),(190,1),(193,1)}
       166:{3,4,7}:{(131,1),(132,1),(142,1),(192,1),(193,1)}
       167:{3,6,7}:{(133,1),(140,1),(194,1)}
       168:{3,6,7}:{(134,1),(142,1),(195,1)}
       169:{4,5,6}:{(135,1),(137,1),(197,1)}
       170:{3,5,7}:{(135,1),(136,1),(175,1),(185,1),(197,1)}
       171:{4,7}:{(137,1),(138,1)}
       172:{1,5,7}:{(139,1),(140,1),(183,1),(194,1)}
       173:{2,5,7}:{(141,1),(142,1),(193,1),(195,1)}
       174:{1,4,5,6}:{(143,1),(146,1),(169,1),(199,1),(200,1)}
       175:{1,5,7}:{(143,1),(144,1),(170,1)}
       176:{2,4,5}:{(145,1),(149,1),(201,1)}
       177:{3,4,6}:{(145,1),(146,1),(151,1),(199,1),(201,1),(202,1)}
       178:{1,4,7}:{(146,1),(147,1),(171,1),(202,1)}
       179:{1,2,5}:{(148,1),(149,1),(150,1),(203,1)}
       180:{2,3,6}:{(149,1),(151,1),(201,1),(203,1),(204,1)}
       181:{1,3,6}:{(150,1),(151,1),(153,1),(203,1),(205,1)}
       182:{3,7}:{(151,1),(152,1)}
       183:{1,4,7}:{(153,1),(154,1),(172,1),(205,1)}
       184:{2,4,5,6}:{(155,1),(158,1),(169,1),(207,1),(208,1)}
       185:{2,5,7}:{(155,1),(156,1),(170,1)}
       186:{1,4,5}:{(157,1),(162,1),(209,1)}
       187:{3,4,6}:{(157,1),(158,1),(163,1),(207,1),(209,1),(210,1)}
       188:{2,4,7}:{(158,1),(159,1),(171,1),(210,1)}
       189:{1,2,5}:{(160,1),(161,1),(162,1),(211,1)}
       190:{2,3,6}:{(161,1),(163,1),(165,1),(211,1),(212,1)}
       191:{1,3,6}:{(162,1),(163,1),(209,1),(211,1),(213,1)}
       192:{3,7}:{(163,1),(164,1)}
       193:{2,4,7}:{(165,1),(166,1),(173,1),(212,1)}
       194:{1,6,7}:{(167,1),(172,1)}
       195:{2,6,7}:{(168,1),(173,1)}
       196:{3,5,6,7}:{(170,1),(198,1),(206,1),(214,1),(225,1),(227,1)}
       197:{4,5,7}:{(169,1),(170,1),(171,1),(214,1)}
       198:{1,5,6,7}:{(175,1),(196,1),(215,1),(230,1)}
       199:{3,5,6}:{(174,1),(177,1),(216,1),(217,1)}
       200:{1,4,5,7}:{(174,1),(175,1),(178,1),(197,1),(215,1),(217,1)}
       201:{2,4,6}:{(176,1),(177,1),(180,1),(216,1),(218,1)}
       202:{3,4,7}:{(177,1),(178,1),(182,1),(217,1),(218,1)}
       203:{1,2,6}:{(179,1),(180,1),(181,1),(219,1)}
       204:{2,3,7}:{(180,1),(182,1),(218,1),(219,1)}
       205:{1,3,7}:{(181,1),(182,1),(183,1),(219,1)}
       206:{2,5,6,7}:{(185,1),(196,1),(220,1),(229,1)}
       207:{3,5,6}:{(184,1),(187,1),(221,1),(222,1)}
       208:{2,4,5,7}:{(184,1),(185,1),(188,1),(197,1),(220,1),(222,1)}
       209:{1,4,6}:{(186,1),(187,1),(191,1),(221,1),(223,1)}
       210:{3,4,7}:{(187,1),(188,1),(192,1),(222,1),(223,1)}
       211:{1,2,6}:{(189,1),(190,1),(191,1),(224,1)}
       212:{2,3,7}:{(190,1),(192,1),(193,1),(224,1)}
       213:{1,3,7}:{(191,1),(192,1),(223,1),(224,1)}
       214:{4,6,7}:{(196,1),(197,1)}
       215:{1,4,6,7}:{(198,1),(200,1),(214,1),(225,1)}
       216:{2,5,6}:{(199,1),(201,1),(226,1)}
       217:{3,5,7}:{(199,1),(200,1),(202,1),(225,1),(226,1)}
       218:{2,4,7}:{(201,1),(202,1),(204,1),(226,1)}
       219:{1,2,7}:{(203,1),(204,1),(205,1)}
       220:{2,4,6,7}:{(206,1),(208,1),(214,1),(227,1)}
       221:{1,5,6}:{(207,1),(209,1),(228,1)}
       222:{3,5,7}:{(207,1),(208,1),(210,1),(227,1),(228,1)}
       223:{1,4,7}:{(209,1),(210,1),(213,1),(228,1)}
       224:{1,2,7}:{(211,1),(212,1),(213,1)}
       225:{3,6,7}:{(215,1),(217,1),(229,1)}
       226:{2,5,7}:{(216,1),(217,1),(218,1),(229,1)}
       227:{3,6,7}:{(220,1),(222,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(223,1),(230,1)}
       229:{2,6,7}:{(225,1),(226,1)}
       230:{1,6,7}:{(227,1),(228,1)}

1372 :   0:{3,5,6,7}:{(2,1),(4,1),(7,1),(32,1),(41,1),(45,1)}
         1:{3,4,5,7}:{(8,1),(9,1),(10,1),(27,1),(36,1),(45,1),(51,1),(86,1),(99,1),(162,1),(163,1)}
         2:{2,5,6,7}:{(0,1),(13,1),(75,1),(79,1)}
         3:{2,3,4,7}:{(12,1),(14,1),(15,1),(65,1),(83,1),(118,1),(168,1),(196,1)}
         4:{1,5,6,7}:{(0,1),(18,1),(61,1),(78,1)}
         5:{1,3,4,7}:{(17,1),(19,1),(20,1),(52,1),(83,1),(129,1),(176,1),(200,1)}
         6:{4,5,6}:{(21,1),(22,1),(139,1)}
         7:{4,6,7}:{(0,1),(21,1)}
         8:{3,4,6}:{(1,1),(22,1),(24,1),(25,1),(82,1),(139,1)}
         9:{1,4,5,7}:{(1,1),(19,1),(24,1),(54,1),(67,1),(78,1),(117,1),(129,1)}
        10:{2,4,5,7}:{(1,1),(14,1),(25,1),(55,1),(68,1),(79,1),(118,1),(130,1)}
        11:{2,4,5,6}:{(6,1),(28,1),(29,1),(47,1),(88,1)}
        12:{2,3,4,6}:{(3,1),(30,1),(31,1),(33,1),(88,1),(113,1),(146,1),(147,1),(184,1)}
        13:{2,4,6,7}:{(2,1),(7,1),(28,1),(32,1)}
        14:{2,3,5,7}:{(3,1),(10,1),(30,1),(33,1),(34,1),(51,1),(97,1),(152,1),(204,1)}
        15:{1,2,4,7}:{(3,1),(31,1),(34,1),(35,1),(96,1),(98,1)}
        16:{1,4,5,6}:{(6,1),(37,1),(38,1),(46,1),(100,1)}
        17:{1,3,4,6}:{(5,1),(39,1),(40,1),(42,1),(100,1),(113,1),(156,1),(157,1),(190,1)}
        18:{1,4,6,7}:{(4,1),(7,1),(37,1),(41,1)}
        19:{1,3,5,7}:{(5,1),(9,1),(39,1),(42,1),(43,1),(51,1),(84,1),(142,1),(206,1)}
        20:{1,2,4,7}:{(5,1),(40,1),(43,1),(44,1),(85,1),(109,1)}
        21:{4,5,7}:{(6,1),(7,1),(45,1),(162,1)}
        22:{3,5,6}:{(6,1),(8,1),(45,1),(46,1),(47,1)}
        23:{3,4,6,7}:{(7,1),(8,1),(32,1),(41,1),(45,1),(48,1),(49,1),(86,1),(99,1),(112,1),(162,1)}
        24:{1,4,6}:{(8,1),(9,1),(42,1),(46,1)}
        25:{2,4,6}:{(8,1),(10,1),(33,1),(47,1)}
        26:{1,2,4,5,7}:{(9,1),(10,1),(34,1),(43,1),(50,1),(51,1),(89,1),(96,1),(102,1),(109,1),(110,1),(145,1),(151,1),(155,1),(161,1),(162,1),(163,1),(187,1),(193,1),(204,1),(206,1)}
        27:{3,4,5}:{(53,1),(54,1),(55,1),(120,1)}
        28:{2,4,5,7}:{(11,1),(13,1),(21,1),(56,1),(79,1),(118,1)}
        29:{3,5,6}:{(11,1),(53,1),(56,1),(57,1)}
        30:{2,3,5}:{(12,1),(55,1),(59,1),(120,1),(141,1),(197,1)}
        31:{1,2,4,6}:{(12,1),(15,1),(59,1),(60,1),(63,1),(123,1),(125,1)}
        32:{3,6,7}:{(13,1),(56,1),(61,1)}
        33:{2,3,6}:{(14,1),(25,1),(63,1),(82,1),(208,1)}
        34:{1,2,5,7}:{(14,1),(15,1),(59,1),(63,1),(64,1),(127,1),(173,1)}
        35:{1,3,7}:{(15,1),(60,1),(128,1),(168,1)}
        36:{3,4,5}:{(66,1),(67,1),(68,1),(132,1)}
        37:{1,4,5,7}:{(16,1),(18,1),(21,1),(69,1),(78,1),(129,1)}
        38:{3,5,6}:{(16,1),(66,1),(69,1),(71,1)}
        39:{1,3,5}:{(17,1),(67,1),(72,1),(132,1),(141,1),(201,1)}
        40:{1,2,4,6}:{(17,1),(20,1),(72,1),(73,1),(76,1),(135,1),(137,1)}
        41:{3,6,7}:{(18,1),(69,1),(75,1)}
        42:{1,3,6}:{(19,1),(24,1),(76,1),(82,1),(209,1)}
        43:{1,2,5,7}:{(19,1),(20,1),(72,1),(76,1),(77,1),(115,1),(165,1)}
        44:{2,3,7}:{(20,1),(73,1),(116,1),(176,1)}
        45:{3,5,7}:{(21,1),(22,1),(23,1),(78,1),(79,1)}
        46:{1,5,6}:{(22,1),(24,1),(78,1)}
        47:{2,5,6}:{(22,1),(25,1),(79,1)}
        48:{1,4,6,7}:{(23,1),(24,1),(61,1),(74,1),(78,1),(117,1),(129,1)}
        49:{2,4,6,7}:{(23,1),(25,1),(62,1),(75,1),(79,1),(118,1),(130,1)}
        50:{1,2,4,6}:{(24,1),(25,1),(26,1),(63,1),(76,1),(80,1),(82,1),(125,1),(137,1),(139,1),(199,1),(203,1),(208,1),(209,1)}
        51:{3,5,7}:{(26,1),(82,1),(83,1),(120,1),(132,1),(141,1),(168,1),(176,1)}
        52:{1,3,4}:{(84,1),(85,1),(147,1)}
        53:{3,4,6}:{(27,1),(29,1),(86,1),(87,1),(88,1),(146,1)}
        54:{1,4,5}:{(27,1),(84,1),(87,1)}
        55:{2,4,5}:{(27,1),(30,1),(88,1),(163,1)}
        56:{3,5,7}:{(28,1),(29,1),(32,1),(86,1),(90,1)}
        57:{1,5,6}:{(29,1),(87,1),(90,1)}
        58:{2,3,5,6}:{(29,1),(30,1),(33,1),(47,1),(88,1),(91,1),(92,1),(111,1),(146,1)}
        59:{1,2,5}:{(30,1),(31,1),(93,1),(151,1)}
        60:{1,3,6}:{(31,1),(35,1),(93,1),(146,1)}
        61:{1,6,7}:{(32,1),(90,1)}
        62:{2,3,6,7}:{(32,1),(33,1),(49,1),(91,1),(94,1),(112,1),(152,1)}
        63:{1,2,6}:{(33,1),(34,1),(95,1)}
        64:{1,3,5,7}:{(34,1),(35,1),(51,1),(93,1),(95,1),(96,1),(151,1),(154,1),(189,1),(206,1)}
        65:{2,3,4}:{(97,1),(98,1),(157,1)}
        66:{3,4,6}:{(36,1),(38,1),(99,1),(100,1),(101,1),(156,1)}
        67:{1,4,5}:{(36,1),(39,1),(100,1),(163,1)}
        68:{2,4,5}:{(36,1),(97,1),(101,1)}
        69:{3,5,7}:{(37,1),(38,1),(41,1),(99,1),(104,1)}
        70:{1,3,5,6}:{(38,1),(39,1),(42,1),(46,1),(100,1),(103,1),(105,1),(111,1),(156,1)}
        71:{2,5,6}:{(38,1),(101,1),(104,1)}
        72:{1,2,5}:{(39,1),(40,1),(106,1),(161,1)}
        73:{2,3,6}:{(40,1),(44,1),(106,1),(156,1)}
        74:{1,3,6,7}:{(41,1),(42,1),(48,1),(103,1),(107,1),(112,1),(142,1)}
        75:{2,6,7}:{(41,1),(104,1)}
        76:{1,2,6}:{(42,1),(43,1),(108,1)}
        77:{2,3,5,7}:{(43,1),(44,1),(51,1),(106,1),(108,1),(109,1),(144,1),(161,1),(183,1),(204,1)}
        78:{1,5,7}:{(45,1),(46,1),(48,1)}
        79:{2,5,7}:{(45,1),(47,1),(49,1)}
        80:{1,2,5,6}:{(46,1),(47,1),(50,1),(110,1),(111,1),(151,1),(161,1),(188,1),(194,1)}
        81:{1,2,4,6,7}:{(48,1),(49,1),(50,1),(94,1),(107,1),(110,1),(112,1),(145,1),(150,1),(155,1),(160,1),(162,1)}
        82:{3,6}:{(50,1),(51,1)}
        83:{3,4,7}:{(51,1),(96,1),(109,1),(113,1),(147,1),(157,1),(162,1)}
        84:{1,3,5}:{(52,1),(54,1),(114,1),(115,1),(120,1)}
        85:{1,2,4}:{(52,1),(115,1),(116,1),(167,1)}
        86:{3,4,7}:{(53,1),(56,1),(117,1),(118,1),(168,1)}
        87:{1,4,6}:{(53,1),(54,1),(57,1),(114,1),(117,1)}
        88:{2,4,6}:{(53,1),(55,1),(58,1),(118,1),(139,1)}
        89:{1,2,4,5}:{(54,1),(55,1),(59,1),(115,1),(119,1),(120,1),(123,1),(167,1),(171,1),(197,1)}
        90:{1,5,7}:{(56,1),(57,1),(61,1),(117,1)}
        91:{2,3,5,7}:{(56,1),(58,1),(62,1),(79,1),(118,1),(121,1),(138,1),(168,1)}
        92:{1,2,5,6}:{(57,1),(58,1),(59,1),(63,1),(119,1),(121,1),(122,1),(197,1),(208,1)}
        93:{1,3,5}:{(59,1),(60,1),(120,1),(123,1)}
        94:{1,2,6,7}:{(61,1),(62,1),(63,1),(121,1),(124,1),(173,1),(208,1)}
        95:{1,3,6}:{(63,1),(64,1),(82,1),(125,1),(209,1)}
        96:{1,4,7}:{(64,1),(83,1),(123,1),(125,1),(175,1)}
        97:{2,3,5}:{(65,1),(68,1),(126,1),(127,1),(132,1)}
        98:{1,2,4}:{(65,1),(127,1),(128,1),(175,1)}
        99:{3,4,7}:{(66,1),(69,1),(129,1),(130,1),(176,1)}
       100:{1,4,6}:{(66,1),(67,1),(70,1),(129,1),(139,1)}
       101:{2,4,6}:{(66,1),(68,1),(71,1),(126,1),(130,1)}
       102:{1,2,4,5}:{(67,1),(68,1),(72,1),(127,1),(131,1),(132,1),(135,1),(175,1),(179,1),(201,1)}
       103:{1,3,5,7}:{(69,1),(70,1),(74,1),(78,1),(129,1),(133,1),(138,1),(176,1)}
       104:{2,5,7}:{(69,1),(71,1),(75,1),(130,1)}
       105:{1,2,5,6}:{(70,1),(71,1),(72,1),(76,1),(131,1),(133,1),(134,1),(201,1),(209,1)}
       106:{2,3,5}:{(72,1),(73,1),(132,1),(135,1)}
       107:{1,2,6,7}:{(74,1),(75,1),(76,1),(133,1),(136,1),(165,1),(209,1)}
       108:{2,3,6}:{(76,1),(77,1),(82,1),(137,1),(208,1)}
       109:{2,4,7}:{(77,1),(83,1),(135,1),(137,1),(167,1)}
       110:{1,2,5,7}:{(78,1),(79,1),(80,1),(81,1),(138,1),(172,1),(180,1)}
       111:{3,5,6}:{(80,1),(82,1),(138,1),(139,1),(141,1)}
       112:{3,6,7}:{(81,1),(82,1),(138,1),(168,1),(176,1)}
       113:{3,4,6}:{(82,1),(83,1),(125,1),(137,1),(139,1),(141,1)}
       114:{1,3,6}:{(84,1),(87,1),(142,1),(143,1),(146,1)}
       115:{1,2,5}:{(84,1),(85,1),(143,1),(144,1)}
       116:{2,3}:{(85,1)}
       117:{1,4,7}:{(86,1),(87,1),(90,1),(142,1)}
       118:{2,4,7}:{(86,1),(88,1),(91,1),(162,1)}
       119:{1,2,4,6}:{(87,1),(88,1),(89,1),(92,1),(143,1),(145,1),(146,1),(149,1),(184,1)}
       120:{3,5}:{(89,1),(146,1),(147,1)}
       121:{1,2,5,7}:{(90,1),(91,1),(92,1),(94,1),(145,1),(148,1),(204,1)}
       122:{1,3,5,6}:{(92,1),(93,1),(95,1),(111,1),(146,1),(148,1),(149,1),(151,1),(186,1),(188,1),(205,1)}
       123:{1,4}:{(93,1),(147,1)}
       124:{1,3,6,7}:{(94,1),(95,1),(112,1),(148,1),(150,1),(189,1),(205,1)}
       125:{1,4,6}:{(95,1),(96,1),(113,1),(151,1)}
       126:{2,3,6}:{(97,1),(101,1),(152,1),(153,1),(156,1)}
       127:{1,2,5}:{(97,1),(98,1),(153,1),(154,1)}
       128:{1,3}:{(98,1)}
       129:{1,4,7}:{(99,1),(100,1),(103,1),(162,1)}
       130:{2,4,7}:{(99,1),(101,1),(104,1),(152,1)}
       131:{1,2,4,6}:{(100,1),(101,1),(102,1),(105,1),(153,1),(155,1),(156,1),(159,1),(190,1)}
       132:{3,5}:{(102,1),(156,1),(157,1)}
       133:{1,2,5,7}:{(103,1),(104,1),(105,1),(107,1),(155,1),(158,1),(206,1)}
       134:{2,3,5,6}:{(105,1),(106,1),(108,1),(111,1),(156,1),(158,1),(159,1),(161,1),(192,1),(194,1),(207,1)}
       135:{2,4}:{(106,1),(157,1)}
       136:{2,3,6,7}:{(107,1),(108,1),(112,1),(158,1),(160,1),(183,1),(207,1)}
       137:{2,4,6}:{(108,1),(109,1),(113,1),(161,1)}
       138:{3,5,7}:{(110,1),(111,1),(112,1),(162,1)}
       139:{4,6}:{(111,1),(162,1),(163,1)}
       140:{3,4,6,7}:{(112,1),(113,1),(150,1),(160,1),(162,1),(164,1),(185,1),(191,1),(195,1),(205,1),(207,1)}
       141:{3,5}:{(113,1),(151,1),(161,1),(163,1)}
       142:{1,3,7}:{(114,1),(117,1),(165,1),(168,1)}
       143:{1,2,6}:{(114,1),(115,1),(165,1),(166,1)}
       144:{2,3,5}:{(115,1),(116,1),(120,1),(166,1),(167,1),(197,1)}
       145:{1,2,4,7}:{(117,1),(118,1),(119,1),(121,1),(165,1),(168,1),(170,1),(196,1)}
       146:{3,6}:{(119,1),(120,1),(168,1)}
       147:{3,4}:{(120,1),(123,1),(167,1)}
       148:{1,3,5,7}:{(121,1),(122,1),(124,1),(138,1),(168,1),(170,1),(172,1),(198,1)}
       149:{1,4,6}:{(122,1),(123,1),(139,1),(169,1),(170,1),(171,1)}
       150:{1,4,6,7}:{(124,1),(125,1),(140,1),(170,1),(172,1),(199,1),(200,1),(209,1)}
       151:{1,5}:{(125,1),(141,1)}
       152:{2,3,7}:{(126,1),(130,1),(173,1),(176,1)}
       153:{1,2,6}:{(126,1),(127,1),(173,1),(174,1)}
       154:{1,3,5}:{(127,1),(128,1),(132,1),(174,1),(175,1),(201,1)}
       155:{1,2,4,7}:{(129,1),(130,1),(131,1),(133,1),(173,1),(176,1),(178,1),(200,1)}
       156:{3,6}:{(131,1),(132,1),(176,1)}
       157:{3,4}:{(132,1),(135,1),(175,1)}
       158:{2,3,5,7}:{(133,1),(134,1),(136,1),(138,1),(176,1),(178,1),(180,1),(202,1)}
       159:{2,4,6}:{(134,1),(135,1),(139,1),(177,1),(178,1),(179,1)}
       160:{2,4,6,7}:{(136,1),(137,1),(140,1),(178,1),(180,1),(196,1),(203,1),(208,1)}
       161:{2,5}:{(137,1),(141,1)}
       162:{4,7}:{(138,1),(139,1)}
       163:{4,5}:{(139,1),(141,1)}
       164:{3,5,7}:{(140,1),(141,1),(172,1),(180,1),(181,1),(182,1)}
       165:{1,2,7}:{(142,1),(143,1),(183,1)}
       166:{2,3,6}:{(143,1),(144,1),(146,1),(183,1),(184,1)}
       167:{2,4}:{(144,1),(147,1)}
       168:{3,7}:{(145,1),(146,1)}
       169:{3,4,6}:{(146,1),(147,1),(149,1),(184,1),(185,1),(186,1),(205,1)}
       170:{1,4,7}:{(148,1),(149,1),(162,1),(185,1)}
       171:{1,4,5}:{(149,1),(151,1),(163,1),(186,1)}
       172:{1,5,7}:{(150,1),(151,1),(164,1),(188,1)}
       173:{1,2,7}:{(152,1),(153,1),(189,1)}
       174:{1,3,6}:{(153,1),(154,1),(156,1),(189,1),(190,1)}
       175:{1,4}:{(154,1),(157,1)}
       176:{3,7}:{(155,1),(156,1)}
       177:{3,4,6}:{(156,1),(157,1),(159,1),(190,1),(191,1),(192,1),(207,1)}
       178:{2,4,7}:{(158,1),(159,1),(162,1),(191,1)}
       179:{2,4,5}:{(159,1),(161,1),(163,1),(192,1)}
       180:{2,5,7}:{(160,1),(161,1),(164,1),(194,1)}
       181:{4,5,7}:{(162,1),(163,1),(164,1),(195,1)}
       182:{3,5,6}:{(164,1),(188,1),(194,1),(195,1),(205,1),(207,1)}
       183:{2,3,7}:{(165,1),(166,1),(168,1),(196,1)}
       184:{2,4,6}:{(166,1),(167,1),(169,1),(196,1),(197,1),(208,1)}
       185:{3,4,7}:{(168,1),(169,1),(170,1),(196,1),(198,1)}
       186:{3,5}:{(169,1),(171,1),(197,1)}
       187:{1,4,5,7}:{(170,1),(171,1),(172,1),(181,1),(198,1),(199,1)}
       188:{1,5,6}:{(172,1),(182,1),(199,1),(209,1)}
       189:{1,3,7}:{(173,1),(174,1),(176,1),(200,1)}
       190:{1,4,6}:{(174,1),(175,1),(177,1),(200,1),(201,1),(209,1)}
       191:{3,4,7}:{(176,1),(177,1),(178,1),(200,1),(202,1)}
       192:{3,5}:{(177,1),(179,1),(201,1)}
       193:{2,4,5,7}:{(178,1),(179,1),(180,1),(181,1),(202,1),(203,1)}
       194:{2,5,6}:{(180,1),(182,1),(203,1),(208,1)}
       195:{4,6}:{(181,1),(182,1)}
       196:{2,4,7}:{(183,1),(184,1),(185,1),(204,1)}
       197:{2,5}:{(184,1),(186,1)}
       198:{3,5,7}:{(185,1),(186,1),(187,1),(204,1),(205,1)}
       199:{1,4,6}:{(187,1),(188,1),(195,1),(205,1)}
       200:{1,4,7}:{(189,1),(190,1),(191,1),(206,1)}
       201:{1,5}:{(190,1),(192,1)}
       202:{3,5,7}:{(191,1),(192,1),(193,1),(206,1),(207,1)}
       203:{2,4,6}:{(193,1),(194,1),(195,1),(207,1)}
       204:{2,5,7}:{(196,1),(197,1),(198,1),(208,1)}
       205:{3,6}:{(198,1),(199,1),(208,1)}
       206:{1,5,7}:{(200,1),(201,1),(202,1),(209,1)}
       207:{3,6}:{(202,1),(203,1),(209,1)}
       208:{2,6}:{(204,1),(205,1)}
       209:{1,6}:{(206,1),(207,1)}

1373 :   0:{1,2,3,5}:{(2,1),(4,1),(6,1),(8,1),(27,1),(30,1),(35,1),(39,1)}
         1:{3,4,5}:{(9,1),(10,1),(11,1),(39,1),(69,1)}
         2:{1,2,3}:{(12,1)}
         3:{2,3,4}:{(12,1),(13,1),(21,1)}
         4:{1,2,3}:{(14,1)}
         5:{1,3,4}:{(14,1),(15,1),(21,1)}
         6:{1,2,3,6}:{(0,1),(16,1),(18,1),(44,1),(47,1),(57,1)}
         7:{4,5,6}:{(19,1),(20,1),(81,1),(96,1)}
         8:{1,2,4}:{(0,1),(21,1)}
         9:{2,4,5}:{(1,1),(13,1),(23,1)}
        10:{1,4,5}:{(1,1),(15,1),(24,1)}
        11:{3,4,6}:{(1,1),(19,1),(23,1),(24,1),(25,1),(57,1),(81,1)}
        12:{1,2,4}:{(2,1),(3,1),(26,1),(27,1)}
        13:{2,3,5}:{(3,1),(9,1),(27,1),(28,1),(39,1)}
        14:{1,2,4}:{(4,1),(5,1),(29,1),(30,1)}
        15:{1,3,5}:{(5,1),(10,1),(30,1),(31,1),(39,1)}
        16:{1,2,3,7}:{(6,1),(32,1),(61,1),(64,1),(73,1)}
        17:{5,6,7}:{(33,1),(102,1)}
        18:{1,2,4,6}:{(6,1),(8,1),(32,1),(34,1),(35,1),(66,1)}
        19:{3,5,6}:{(7,1),(11,1),(36,1),(37,1),(38,1)}
        20:{4,5,7}:{(7,1),(33,1),(38,1),(92,1),(102,1)}
        21:{3,4}:{(8,1),(39,1)}
        22:{1,2,4,5}:{(8,1),(9,1),(10,1),(27,1),(30,1),(35,1),(39,1),(40,1),(59,1),(62,1),(69,1)}
        23:{2,4,6}:{(9,1),(11,1),(28,1),(36,1),(41,1)}
        24:{1,4,6}:{(10,1),(11,1),(31,1),(37,1),(42,1)}
        25:{3,4,7}:{(11,1),(38,1),(41,1),(42,1),(73,1),(92,1)}
        26:{1,3,4}:{(12,1),(21,1),(43,1)}
        27:{1,2,5}:{(12,1),(13,1),(43,1),(44,1)}
        28:{2,3,6}:{(13,1),(23,1),(44,1),(45,1),(57,1)}
        29:{2,3,4}:{(14,1),(21,1),(46,1)}
        30:{1,2,5}:{(14,1),(15,1),(46,1),(47,1)}
        31:{1,3,6}:{(15,1),(24,1),(47,1),(48,1),(57,1)}
        32:{1,2,4,7}:{(16,1),(18,1),(49,1),(50,1)}
        33:{4,6,7}:{(17,1),(20,1),(51,1)}
        34:{3,4,6}:{(18,1),(21,1),(49,1),(52,1),(57,1),(79,1),(81,1)}
        35:{1,2,5}:{(18,1),(52,1)}
        36:{2,5,6}:{(19,1),(23,1),(54,1)}
        37:{1,5,6}:{(19,1),(24,1),(55,1)}
        38:{3,5,7}:{(19,1),(20,1),(25,1),(51,1),(54,1),(55,1)}
        39:{3,5}:{(21,1),(22,1),(57,1)}
        40:{1,2,4,6}:{(22,1),(23,1),(24,1),(44,1),(47,1),(53,1),(57,1),(58,1),(74,1),(76,1),(81,1)}
        41:{2,4,7}:{(23,1),(25,1),(45,1),(54,1)}
        42:{1,4,7}:{(24,1),(25,1),(48,1),(55,1)}
        43:{1,3,5}:{(26,1),(27,1),(39,1),(59,1),(60,1)}
        44:{1,2,6}:{(27,1),(28,1),(60,1),(61,1)}
        45:{2,3,7}:{(28,1),(41,1),(61,1),(73,1)}
        46:{2,3,5}:{(29,1),(30,1),(39,1),(62,1),(63,1)}
        47:{1,2,6}:{(30,1),(31,1),(63,1),(64,1)}
        48:{1,3,7}:{(31,1),(42,1),(64,1),(73,1)}
        49:{3,4,7}:{(32,1),(34,1),(65,1),(73,1),(92,1)}
        50:{1,2,5,7}:{(32,1),(35,1),(65,1),(66,1)}
        51:{3,6,7}:{(33,1),(38,1),(67,1),(68,1)}
        52:{3,5}:{(34,1),(35,1),(69,1)}
        53:{1,2,5,6}:{(35,1),(36,1),(37,1),(40,1),(66,1),(70,1),(71,1),(85,1),(87,1)}
        54:{2,5,7}:{(36,1),(38,1),(41,1),(67,1)}
        55:{1,5,7}:{(37,1),(38,1),(42,1),(68,1)}
        56:{3,4,5}:{(39,1),(59,1),(62,1),(69,1),(72,1)}
        57:{3,6}:{(39,1),(40,1),(73,1)}
        58:{1,2,4,7}:{(40,1),(41,1),(42,1),(61,1),(64,1),(71,1),(73,1),(86,1),(88,1),(92,1)}
        59:{1,4,5}:{(43,1),(56,1),(74,1)}
        60:{1,3,6}:{(43,1),(44,1),(57,1),(74,1),(75,1)}
        61:{1,2,7}:{(44,1),(45,1),(75,1)}
        62:{2,4,5}:{(46,1),(56,1),(76,1)}
        63:{2,3,6}:{(46,1),(47,1),(57,1),(76,1),(77,1)}
        64:{1,2,7}:{(47,1),(48,1),(77,1)}
        65:{3,5,7}:{(49,1),(50,1),(52,1),(78,1),(79,1)}
        66:{1,2,6}:{(50,1),(79,1)}
        67:{2,6,7}:{(51,1),(54,1)}
        68:{1,6,7}:{(51,1),(55,1)}
        69:{4,5}:{(52,1),(81,1)}
        70:{3,5,6}:{(52,1),(53,1),(57,1),(79,1),(81,1),(82,1),(96,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(55,1),(58,1),(80,1),(82,1),(94,1),(95,1)}
        72:{3,4,6}:{(56,1),(57,1),(74,1),(76,1),(81,1),(83,1),(84,1)}
        73:{3,7}:{(57,1),(58,1)}
        74:{1,4,6}:{(59,1),(60,1),(72,1),(85,1),(86,1)}
        75:{1,3,7}:{(60,1),(61,1),(73,1),(86,1)}
        76:{2,4,6}:{(62,1),(63,1),(72,1),(87,1),(88,1)}
        77:{2,3,7}:{(63,1),(64,1),(73,1),(88,1)}
        78:{4,5,7}:{(65,1),(69,1),(89,1),(92,1),(102,1)}
        79:{3,6}:{(65,1),(66,1),(89,1)}
        80:{1,2,6,7}:{(66,1),(67,1),(68,1),(71,1),(90,1),(100,1),(101,1)}
        81:{4,6}:{(69,1),(70,1),(92,1)}
        82:{3,5,7}:{(70,1),(71,1),(73,1),(90,1),(92,1),(102,1)}
        83:{3,5,6}:{(72,1),(85,1),(87,1),(91,1),(93,1)}
        84:{3,4,7}:{(72,1),(73,1),(86,1),(88,1),(92,1),(93,1)}
        85:{1,5,6}:{(74,1),(83,1),(94,1)}
        86:{1,4,7}:{(74,1),(75,1),(84,1),(94,1)}
        87:{2,5,6}:{(76,1),(83,1),(95,1)}
        88:{2,4,7}:{(76,1),(77,1),(84,1),(95,1)}
        89:{4,6}:{(78,1),(79,1),(96,1)}
        90:{3,6,7}:{(79,1),(80,1),(82,1),(97,1)}
        91:{4,5,6}:{(81,1),(83,1),(96,1),(98,1)}
        92:{4,7}:{(81,1),(82,1)}
        93:{3,5,7}:{(83,1),(84,1),(94,1),(95,1),(98,1),(99,1)}
        94:{1,5,7}:{(85,1),(86,1),(93,1),(100,1)}
        95:{2,5,7}:{(87,1),(88,1),(93,1),(101,1)}
        96:{5,6}:{(89,1),(102,1)}
        97:{4,6,7}:{(89,1),(90,1),(92,1),(102,1)}
        98:{4,5,7}:{(91,1),(92,1),(93,1),(102,1),(103,1)}
        99:{3,6,7}:{(93,1),(100,1),(101,1),(103,1)}
       100:{1,6,7}:{(94,1),(99,1)}
       101:{2,6,7}:{(95,1),(99,1)}
       102:{5,7}:{(96,1),(97,1)}
       103:{4,6,7}:{(98,1),(99,1),(104,1)}
       104:{5,6,7}:{(102,1),(103,1)}

1374 :   0:{4,5,6,7}:{(1,1),(29,1),(208,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(4,1),(219,1)}
         2:{3,4,6,7}:{(1,1),(6,1),(7,1),(8,1),(28,1),(29,1),(206,1)}
         3:{1,5,6,7}:{(1,1),(7,1),(224,1)}
         4:{2,5,6,7}:{(1,1),(8,1),(226,1)}
         5:{3,4,5,6}:{(6,1),(10,1),(11,1),(34,1),(62,1),(172,1),(206,1)}
         6:{3,4,5,7}:{(2,1),(5,1),(12,1),(13,1),(41,1),(45,1)}
         7:{1,4,6,7}:{(2,1),(3,1),(12,1),(14,1),(215,1)}
         8:{2,4,6,7}:{(2,1),(4,1),(13,1),(15,1),(217,1)}
         9:{1,2,5,6,7}:{(3,1),(4,1),(16,1),(17,1),(80,1),(81,1),(134,1)}
        10:{1,4,5,6}:{(5,1),(12,1),(18,1),(190,1),(215,1)}
        11:{2,4,5,6}:{(5,1),(13,1),(19,1),(193,1),(217,1)}
        12:{1,4,5,7}:{(6,1),(7,1),(10,1),(23,1)}
        13:{2,4,5,7}:{(6,1),(8,1),(11,1),(24,1)}
        14:{1,3,6,7}:{(7,1),(23,1),(26,1),(28,1),(201,1)}
        15:{2,3,6,7}:{(8,1),(24,1),(27,1),(28,1),(204,1)}
        16:{1,2,4,6,7}:{(7,1),(8,1),(9,1),(25,1),(26,1),(27,1),(28,1),(29,1),(59,1),(60,1),(160,1)}
        17:{3,5,6,7}:{(9,1),(28,1),(29,1),(61,1),(164,1)}
        18:{1,3,5,6}:{(10,1),(23,1),(30,1),(32,1),(34,1),(166,1),(201,1)}
        19:{2,3,5,6}:{(11,1),(24,1),(31,1),(33,1),(34,1),(169,1),(204,1)}
        20:{1,2,4,5,6}:{(10,1),(11,1),(25,1),(32,1),(33,1),(34,1),(62,1),(66,1),(67,1),(106,1),(107,1),(114,1),(160,1)}
        21:{1,3,4,5}:{(30,1),(35,1),(68,1),(118,1),(166,1)}
        22:{2,3,4,5}:{(31,1),(36,1),(68,1),(121,1),(169,1)}
        23:{1,3,5,7}:{(12,1),(14,1),(18,1),(37,1),(39,1),(41,1)}
        24:{2,3,5,7}:{(13,1),(15,1),(19,1),(38,1),(40,1),(41,1)}
        25:{1,2,4,5,7}:{(12,1),(13,1),(16,1),(20,1),(39,1),(40,1),(41,1),(45,1),(76,1),(77,1),(80,1),(81,1)}
        26:{1,2,6,7}:{(14,1),(39,1),(42,1),(180,1)}
        27:{1,2,6,7}:{(15,1),(40,1),(43,1),(183,1)}
        28:{3,6,7}:{(16,1),(41,1),(186,1)}
        29:{4,6,7}:{(17,1),(45,1),(188,1)}
        30:{1,3,4,6}:{(18,1),(21,1),(37,1),(46,1),(50,1)}
        31:{2,3,4,6}:{(19,1),(22,1),(38,1),(47,1),(50,1)}
        32:{1,2,5,6}:{(18,1),(39,1),(46,1),(48,1),(138,1),(180,1)}
        33:{1,2,5,6}:{(19,1),(40,1),(47,1),(49,1),(141,1),(183,1)}
        34:{3,5,6}:{(20,1),(41,1),(50,1),(143,1),(186,1)}
        35:{1,2,4,5}:{(21,1),(46,1),(51,1),(89,1),(92,1),(138,1)}
        36:{1,2,4,5}:{(22,1),(47,1),(52,1),(90,1),(94,1),(141,1)}
        37:{1,3,4,7}:{(23,1),(30,1),(53,1),(57,1)}
        38:{2,3,4,7}:{(24,1),(31,1),(54,1),(57,1)}
        39:{1,2,5,7}:{(23,1),(26,1),(32,1),(53,1),(55,1)}
        40:{1,2,5,7}:{(24,1),(27,1),(33,1),(54,1),(56,1)}
        41:{3,5,7}:{(25,1),(28,1),(34,1),(57,1)}
        42:{2,3,6,7}:{(26,1),(28,1),(55,1),(59,1),(155,1)}
        43:{1,3,6,7}:{(27,1),(28,1),(56,1),(60,1),(158,1)}
        44:{3,4,6,7}:{(28,1),(29,1),(57,1),(59,1),(60,1),(61,1),(103,1)}
        45:{4,5,7}:{(29,1),(61,1),(62,1)}
        46:{1,2,4,6}:{(30,1),(32,1),(35,1),(53,1),(63,1),(66,1)}
        47:{1,2,4,6}:{(31,1),(33,1),(36,1),(54,1),(64,1),(67,1)}
        48:{2,3,5,6}:{(32,1),(34,1),(55,1),(63,1),(66,1),(106,1),(110,1),(155,1)}
        49:{1,3,5,6}:{(33,1),(34,1),(56,1),(64,1),(67,1),(107,1),(112,1),(158,1)}
        50:{3,4,6}:{(34,1),(57,1),(66,1),(67,1),(68,1)}
        51:{2,3,5}:{(35,1),(63,1),(70,1)}
        52:{1,3,5}:{(36,1),(64,1),(72,1)}
        53:{1,2,4,7}:{(37,1),(39,1),(46,1),(73,1),(76,1)}
        54:{1,2,4,7}:{(38,1),(40,1),(47,1),(74,1),(77,1)}
        55:{2,3,5,7}:{(39,1),(41,1),(42,1),(48,1),(73,1),(76,1),(80,1)}
        56:{1,3,5,7}:{(40,1),(41,1),(43,1),(49,1),(74,1),(77,1),(81,1)}
        57:{3,4,7}:{(41,1),(50,1),(76,1),(77,1)}
        58:{1,2,3,6,7}:{(42,1),(43,1),(75,1),(79,1),(180,1),(183,1),(186,1),(216,1),(218,1)}
        59:{2,4,6,7}:{(42,1),(44,1),(76,1),(80,1),(130,1)}
        60:{1,4,6,7}:{(43,1),(44,1),(77,1),(81,1),(131,1)}
        61:{3,5,7}:{(44,1),(45,1),(80,1),(81,1),(82,1)}
        62:{4,5,6}:{(45,1),(82,1),(188,1)}
        63:{2,3,6}:{(46,1),(51,1),(73,1)}
        64:{1,3,6}:{(47,1),(52,1),(74,1)}
        65:{1,2,3,5,6}:{(48,1),(49,1),(75,1),(84,1),(86,1),(88,1),(134,1),(138,1),(141,1),(143,1),(180,1),(183,1),(186,1),(191,1),(194,1)}
        66:{2,4,6}:{(48,1),(50,1),(76,1),(89,1)}
        67:{1,4,6}:{(49,1),(50,1),(77,1),(90,1)}
        68:{3,4,5}:{(50,1),(89,1),(90,1),(143,1)}
        69:{1,2,3,5}:{(51,1),(84,1),(92,1),(138,1),(147,1)}
        70:{2,3,4}:{(51,1),(92,1)}
        71:{1,2,3,5}:{(52,1),(86,1),(94,1),(141,1),(150,1)}
        72:{1,3,4}:{(52,1),(94,1)}
        73:{2,3,7}:{(53,1),(63,1)}
        74:{1,3,7}:{(54,1),(64,1)}
        75:{1,2,3,5,7}:{(55,1),(56,1),(58,1),(65,1),(96,1),(98,1),(100,1),(105,1),(154,1),(157,1),(159,1),(211,1),(213,1)}
        76:{2,4,7}:{(55,1),(57,1),(66,1)}
        77:{1,4,7}:{(56,1),(57,1),(67,1)}
        78:{3,4,5,7}:{(57,1),(61,1),(68,1),(101,1),(102,1),(103,1),(159,1),(163,1)}
        79:{1,2,4,6,7}:{(58,1),(59,1),(60,1),(100,1),(104,1),(105,1),(160,1),(225,1),(227,1)}
        80:{2,5,7}:{(59,1),(61,1),(106,1)}
        81:{1,5,7}:{(60,1),(61,1),(107,1)}
        82:{3,5,6}:{(61,1),(62,1),(103,1),(106,1),(107,1)}
        83:{4,5,6,7}:{(62,1),(108,1),(209,1)}
        84:{1,2,3,6}:{(63,1),(69,1),(96,1),(109,1),(175,1)}
        85:{2,3,4,6}:{(63,1),(66,1),(70,1),(97,1),(109,1),(110,1),(113,1),(155,1)}
        86:{1,2,3,6}:{(64,1),(71,1),(98,1),(111,1),(177,1)}
        87:{1,3,4,6}:{(64,1),(67,1),(72,1),(99,1),(111,1),(112,1),(113,1),(158,1)}
        88:{1,2,4,6}:{(65,1),(66,1),(67,1),(100,1),(113,1),(114,1),(210,1),(212,1)}
        89:{2,4,5}:{(66,1),(68,1),(110,1)}
        90:{1,4,5}:{(67,1),(68,1),(112,1)}
        91:{3,4,5,6}:{(68,1),(103,1),(115,1),(116,1),(117,1),(173,1),(208,1)}
        92:{1,2,4}:{(69,1),(70,1),(118,1)}
        93:{2,3,4,5}:{(70,1),(110,1),(119,1),(120,1),(172,1)}
        94:{1,2,4}:{(71,1),(72,1),(121,1)}
        95:{1,3,4,5}:{(72,1),(112,1),(122,1),(123,1),(172,1)}
        96:{1,2,3,7}:{(73,1),(84,1),(124,1),(198,1)}
        97:{2,3,4,7}:{(73,1),(76,1),(85,1),(124,1),(125,1),(128,1)}
        98:{1,2,3,7}:{(74,1),(86,1),(126,1),(199,1)}
        99:{1,3,4,7}:{(74,1),(77,1),(87,1),(126,1),(127,1),(128,1)}
       100:{1,2,4,7}:{(75,1),(76,1),(77,1),(88,1),(128,1),(222,1),(223,1)}
       101:{2,4,5,7}:{(76,1),(78,1),(80,1),(89,1),(125,1),(130,1)}
       102:{1,4,5,7}:{(77,1),(78,1),(81,1),(90,1),(127,1),(131,1)}
       103:{3,4,6}:{(78,1),(82,1),(130,1),(131,1),(186,1),(188,1)}
       104:{3,4,6,7}:{(79,1),(128,1),(133,1),(186,1),(188,1)}
       105:{1,2,5,7}:{(79,1),(80,1),(81,1),(133,1),(134,1),(229,1),(230,1)}
       106:{2,5,6}:{(80,1),(82,1),(130,1)}
       107:{1,5,6}:{(81,1),(82,1),(131,1)}
       108:{3,5,6,7}:{(82,1),(83,1),(132,1),(135,1),(136,1)}
       109:{1,2,4,6}:{(84,1),(85,1),(92,1),(124,1),(137,1),(138,1),(180,1)}
       110:{2,3,5}:{(85,1),(89,1),(138,1),(143,1)}
       111:{1,2,4,6}:{(86,1),(87,1),(94,1),(126,1),(140,1),(141,1),(183,1)}
       112:{1,3,5}:{(87,1),(90,1),(141,1),(143,1)}
       113:{3,4,6}:{(88,1),(128,1),(143,1),(186,1)}
       114:{1,2,4,5}:{(88,1),(89,1),(90,1),(138,1),(141,1),(143,1),(190,1),(193,1)}
       115:{2,4,5,6}:{(89,1),(91,1),(130,1),(139,1),(145,1)}
       116:{1,4,5,6}:{(90,1),(91,1),(131,1),(142,1),(146,1)}
       117:{3,4,5,7}:{(91,1),(132,1),(145,1),(146,1),(197,1),(221,1)}
       118:{1,3,4}:{(92,1),(147,1)}
       119:{1,2,4,5}:{(92,1),(93,1),(138,1),(147,1),(148,1),(190,1)}
       120:{2,3,4,6}:{(93,1),(139,1),(148,1),(149,1),(196,1)}
       121:{2,3,4}:{(94,1),(150,1)}
       122:{1,2,4,5}:{(94,1),(95,1),(141,1),(150,1),(151,1),(193,1)}
       123:{1,3,4,6}:{(95,1),(142,1),(151,1),(152,1),(196,1)}
       124:{1,2,4,7}:{(96,1),(97,1),(109,1),(153,1),(154,1)}
       125:{2,3,5,7}:{(97,1),(101,1),(110,1),(154,1),(155,1),(159,1)}
       126:{1,2,4,7}:{(98,1),(99,1),(111,1),(156,1),(157,1)}
       127:{1,3,5,7}:{(99,1),(102,1),(112,1),(157,1),(158,1),(159,1)}
       128:{3,4,7}:{(100,1),(113,1),(159,1)}
       129:{1,2,4,5,7}:{(100,1),(101,1),(102,1),(105,1),(114,1),(154,1),(157,1),(159,1),(160,1),(163,1),(200,1),(203,1)}
       130:{2,4,6}:{(101,1),(103,1),(106,1),(155,1)}
       131:{1,4,6}:{(102,1),(103,1),(107,1),(158,1)}
       132:{3,4,6,7}:{(103,1),(108,1),(117,1),(161,1),(162,1),(207,1),(209,1)}
       133:{3,5,7}:{(104,1),(105,1),(163,1),(164,1)}
       134:{1,2,5,6}:{(105,1),(106,1),(107,1),(160,1),(164,1),(224,1),(226,1)}
       135:{2,5,6,7}:{(106,1),(108,1),(161,1)}
       136:{1,5,6,7}:{(107,1),(108,1),(162,1)}
       137:{1,3,4,6}:{(109,1),(113,1),(118,1),(153,1),(166,1),(175,1),(201,1),(210,1)}
       138:{1,2,5}:{(109,1),(110,1),(166,1)}
       139:{2,3,5,6}:{(110,1),(115,1),(120,1),(155,1),(167,1),(168,1),(173,1)}
       140:{2,3,4,6}:{(111,1),(113,1),(121,1),(156,1),(169,1),(177,1),(204,1),(212,1)}
       141:{1,2,5}:{(111,1),(112,1),(169,1)}
       142:{1,3,5,6}:{(112,1),(116,1),(123,1),(158,1),(170,1),(171,1),(173,1)}
       143:{3,5}:{(113,1),(114,1)}
       144:{1,2,4,5,6}:{(114,1),(115,1),(116,1),(160,1),(167,1),(170,1),(173,1),(174,1),(208,1),(210,1),(212,1),(224,1),(226,1)}
       145:{2,4,5,7}:{(115,1),(117,1),(161,1),(168,1)}
       146:{1,4,5,7}:{(116,1),(117,1),(162,1),(171,1)}
       147:{1,3,5}:{(118,1),(119,1),(175,1)}
       148:{1,2,4,6}:{(119,1),(120,1),(167,1),(175,1),(176,1),(210,1)}
       149:{2,3,4,7}:{(120,1),(168,1),(176,1),(214,1)}
       150:{2,3,5}:{(121,1),(122,1),(177,1)}
       151:{1,2,4,6}:{(122,1),(123,1),(170,1),(177,1),(178,1),(212,1)}
       152:{1,3,4,7}:{(123,1),(171,1),(178,1),(214,1)}
       153:{1,3,4,7}:{(124,1),(128,1),(137,1),(179,1),(198,1),(222,1)}
       154:{1,2,5,7}:{(124,1),(125,1),(138,1),(179,1),(180,1)}
       155:{2,3,6}:{(125,1),(130,1),(180,1),(186,1)}
       156:{2,3,4,7}:{(126,1),(128,1),(140,1),(182,1),(199,1),(223,1)}
       157:{1,2,5,7}:{(126,1),(127,1),(141,1),(182,1),(183,1)}
       158:{1,3,6}:{(127,1),(131,1),(183,1),(186,1)}
       159:{3,5,7}:{(128,1),(129,1),(143,1),(186,1)}
       160:{1,2,4,6}:{(129,1),(130,1),(131,1),(134,1),(180,1),(183,1),(186,1),(188,1),(215,1),(217,1)}
       161:{2,4,6,7}:{(130,1),(132,1),(135,1),(145,1),(181,1)}
       162:{1,4,6,7}:{(131,1),(132,1),(136,1),(146,1),(184,1)}
       163:{4,5,7}:{(133,1),(188,1)}
       164:{3,5,6}:{(133,1),(134,1),(186,1),(188,1)}
       165:{1,2,5,6,7}:{(134,1),(135,1),(136,1),(187,1),(189,1),(229,1),(230,1)}
       166:{1,3,5}:{(137,1),(138,1),(143,1),(190,1)}
       167:{1,2,5,6}:{(138,1),(139,1),(148,1),(180,1),(191,1),(192,1)}
       168:{2,3,5,7}:{(139,1),(145,1),(149,1),(181,1),(192,1),(197,1)}
       169:{2,3,5}:{(140,1),(141,1),(143,1),(193,1)}
       170:{1,2,5,6}:{(141,1),(142,1),(151,1),(183,1),(194,1),(195,1)}
       171:{1,3,5,7}:{(142,1),(146,1),(152,1),(184,1),(195,1),(197,1)}
       172:{3,4,5}:{(143,1),(190,1),(193,1),(196,1)}
       173:{3,5,6}:{(143,1),(144,1),(186,1),(196,1),(197,1)}
       174:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(187,1),(192,1),(195,1),(197,1),(221,1),(222,1),(223,1),(229,1),(230,1)}
       175:{1,3,6}:{(147,1),(148,1),(198,1)}
       176:{1,2,4,7}:{(148,1),(149,1),(192,1),(198,1),(222,1)}
       177:{2,3,6}:{(150,1),(151,1),(199,1)}
       178:{1,2,4,7}:{(151,1),(152,1),(195,1),(199,1),(223,1)}
       179:{1,3,5,7}:{(153,1),(154,1),(159,1),(166,1),(200,1),(201,1)}
       180:{1,2,6}:{(154,1),(155,1),(201,1)}
       181:{2,3,6,7}:{(155,1),(161,1),(168,1),(202,1),(207,1)}
       182:{2,3,5,7}:{(156,1),(157,1),(159,1),(169,1),(203,1),(204,1)}
       183:{1,2,6}:{(157,1),(158,1),(204,1)}
       184:{1,3,6,7}:{(158,1),(162,1),(171,1),(205,1),(207,1)}
       185:{3,4,5,7}:{(159,1),(163,1),(172,1),(200,1),(203,1),(206,1),(214,1),(228,1)}
       186:{3,6}:{(159,1),(160,1)}
       187:{1,2,4,6,7}:{(160,1),(161,1),(162,1),(165,1),(174,1),(202,1),(205,1),(207,1),(209,1),(225,1),(227,1)}
       188:{4,6}:{(163,1),(164,1)}
       189:{3,5,6,7}:{(164,1),(165,1),(207,1),(209,1),(228,1)}
       190:{1,4,5}:{(166,1),(172,1),(210,1)}
       191:{1,3,5,6}:{(166,1),(167,1),(173,1),(175,1),(201,1),(210,1),(211,1),(224,1)}
       192:{1,2,5,7}:{(167,1),(168,1),(176,1),(202,1),(211,1)}
       193:{2,4,5}:{(169,1),(172,1),(212,1)}
       194:{2,3,5,6}:{(169,1),(170,1),(173,1),(177,1),(204,1),(212,1),(213,1),(226,1)}
       195:{1,2,5,7}:{(170,1),(171,1),(178,1),(205,1),(213,1)}
       196:{3,4,6}:{(172,1),(173,1),(210,1),(212,1),(214,1)}
       197:{3,5,7}:{(173,1),(174,1),(207,1),(214,1)}
       198:{1,3,7}:{(175,1),(176,1)}
       199:{2,3,7}:{(177,1),(178,1)}
       200:{1,4,5,7}:{(179,1),(185,1),(190,1),(215,1),(222,1),(229,1)}
       201:{1,3,6}:{(179,1),(180,1),(186,1),(215,1)}
       202:{1,2,6,7}:{(180,1),(181,1),(192,1),(216,1)}
       203:{2,4,5,7}:{(182,1),(185,1),(193,1),(217,1),(223,1),(230,1)}
       204:{2,3,6}:{(182,1),(183,1),(186,1),(217,1)}
       205:{1,2,6,7}:{(183,1),(184,1),(195,1),(218,1)}
       206:{3,4,6}:{(185,1),(186,1),(188,1),(215,1),(217,1),(219,1)}
       207:{3,6,7}:{(186,1),(187,1),(197,1)}
       208:{4,5,6}:{(188,1),(219,1),(221,1)}
       209:{4,6,7}:{(188,1),(189,1),(221,1)}
       210:{1,4,6}:{(190,1),(191,1),(196,1),(222,1)}
       211:{1,3,5,7}:{(191,1),(192,1),(197,1),(198,1),(216,1),(222,1),(229,1)}
       212:{2,4,6}:{(193,1),(194,1),(196,1),(223,1)}
       213:{2,3,5,7}:{(194,1),(195,1),(197,1),(199,1),(218,1),(223,1),(230,1)}
       214:{3,4,7}:{(196,1),(197,1),(222,1),(223,1)}
       215:{1,4,6}:{(200,1),(201,1),(206,1),(224,1)}
       216:{1,3,6,7}:{(201,1),(202,1),(207,1),(211,1),(225,1)}
       217:{2,4,6}:{(203,1),(204,1),(206,1),(226,1)}
       218:{2,3,6,7}:{(204,1),(205,1),(207,1),(213,1),(227,1)}
       219:{3,5,6}:{(206,1),(208,1),(224,1),(226,1),(228,1)}
       220:{3,4,6,7}:{(206,1),(207,1),(209,1),(214,1),(225,1),(227,1),(228,1)}
       221:{4,5,7}:{(208,1),(209,1),(228,1)}
       222:{1,4,7}:{(210,1),(211,1),(214,1)}
       223:{2,4,7}:{(212,1),(213,1),(214,1)}
       224:{1,5,6}:{(215,1),(219,1),(229,1)}
       225:{1,4,6,7}:{(215,1),(216,1),(220,1),(222,1),(229,1)}
       226:{2,5,6}:{(217,1),(219,1),(230,1)}
       227:{2,4,6,7}:{(217,1),(218,1),(220,1),(223,1),(230,1)}
       228:{3,5,7}:{(219,1),(220,1),(221,1),(229,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(228,1)}
       230:{2,5,7}:{(226,1),(227,1),(228,1)}

1375 :  0:{1,2,6,7}:{(3,1),(4,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(41,1),(42,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(19,1),(23,1),(24,1),(25,1),(41,1),(42,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{1,2,5,7}:{(0,1),(1,1),(9,1),(10,1),(46,1),(47,1)}
        5:{3,5,6}:{(1,1),(9,1),(11,1),(12,1),(26,1),(31,1),(45,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(12,1),(32,1),(33,1),(34,1)}
        7:{3,5}:{(2,1),(12,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(17,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(17,1),(18,1)}
       10:{1,2,4,7}:{(4,1),(6,1),(17,1),(18,1),(38,1),(39,1),(40,1)}
       11:{4,6}:{(5,1),(17,1),(19,1)}
       12:{3,6}:{(6,1),(7,1),(18,1)}
       13:{3,4}:{(7,1),(23,1),(24,1),(44,1)}
       14:{1,3,5}:{(7,1),(21,1),(23,1),(25,1),(41,1),(44,1),(55,1)}
       15:{2,3,5}:{(7,1),(22,1),(24,1),(25,1),(42,1),(44,1),(55,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,7}:{(9,1),(11,1)}
       18:{3,7}:{(10,1),(12,1)}
       19:{4,5}:{(11,1),(31,1),(58,1)}
       20:{3,4,6}:{(11,1),(12,1),(13,1),(28,1),(31,1),(32,1),(33,1),(45,1),(50,1),(58,1),(61,1)}
       21:{1,3,6}:{(12,1),(14,1),(29,1),(32,1),(34,1),(50,1)}
       22:{2,3,6}:{(12,1),(15,1),(30,1),(33,1),(34,1),(50,1)}
       23:{1,4}:{(13,1),(14,1),(58,1)}
       24:{2,4}:{(13,1),(15,1),(58,1)}
       25:{1,2,5}:{(14,1),(15,1),(34,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(19,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,4,7}:{(17,1),(18,1),(20,1),(37,1),(38,1),(39,1),(54,1),(60,1)}
       29:{1,3,7}:{(18,1),(21,1),(38,1),(40,1),(54,1)}
       30:{2,3,7}:{(18,1),(22,1),(39,1),(40,1),(54,1)}
       31:{3,5}:{(19,1),(20,1),(41,1),(42,1),(62,1)}
       32:{1,4,6}:{(20,1),(21,1),(23,1),(38,1),(41,1),(51,1)}
       33:{2,4,6}:{(20,1),(22,1),(24,1),(39,1),(42,1),(52,1)}
       34:{1,2,6}:{(21,1),(22,1),(25,1),(40,1)}
       35:{1,2,4}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(31,1),(45,1),(46,1),(47,1)}
       38:{1,4,7}:{(28,1),(29,1),(32,1),(46,1)}
       39:{2,4,7}:{(28,1),(30,1),(33,1),(47,1)}
       40:{1,2,7}:{(29,1),(30,1),(34,1)}
       41:{1,5}:{(31,1),(32,1)}
       42:{2,5}:{(31,1),(33,1)}
       43:{1,2,4,6}:{(32,1),(33,1),(34,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       44:{3}:{(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(41,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(42,1),(52,1)}
       48:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(53,1),(54,1),(60,1)}
       49:{1,2,5}:{(41,1),(42,1),(43,1),(55,1),(62,1)}
       50:{3,6}:{(43,1),(44,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,7}:{(48,1),(50,1)}
       55:{3,5}:{(49,1),(50,1),(58,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(55,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

1376 :   0:{1,2,3,5,7}:{(1,1),(2,1),(6,1),(10,1),(11,1),(30,1),(32,1)}
         1:{1,2,3,6}:{(0,1),(4,1),(22,1),(50,1)}
         2:{1,2,4,7}:{(0,1),(3,1),(4,1),(48,1)}
         3:{3,4,7}:{(2,1),(9,1),(10,1),(69,1),(79,1)}
         4:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1)}
         5:{1,2,4,5,7}:{(2,1),(10,1),(11,1),(12,1),(27,1),(28,1),(32,1),(37,1),(40,1),(70,1),(79,1),(117,1)}
         6:{1,2,3,7}:{(15,1),(16,1),(90,1),(133,1),(146,1)}
         7:{2,3,4,7}:{(3,1),(16,1),(17,1),(18,1),(41,1),(91,1),(98,1),(133,1)}
         8:{1,3,4,7}:{(3,1),(16,1),(19,1),(20,1),(41,1),(92,1),(101,1),(133,1)}
         9:{3,4,6}:{(3,1),(4,1),(21,1),(22,1),(57,1)}
        10:{3,5,7}:{(3,1),(5,1),(21,1),(22,1),(93,1),(133,1)}
        11:{1,2,5}:{(4,1),(21,1)}
        12:{1,2,4,6}:{(5,1),(22,1),(23,1),(44,1),(45,1),(50,1),(57,1)}
        13:{1,2,3,5,7}:{(6,1),(25,1),(26,1),(30,1),(32,1),(60,1),(61,1)}
        14:{3,4,5,7}:{(10,1),(27,1),(28,1),(29,1),(37,1),(60,1),(68,1),(73,1),(76,1),(79,1),(105,1),(119,1),(121,1),(138,1)}
        15:{1,2,3,6}:{(6,1),(30,1),(31,1),(116,1),(141,1)}
        16:{1,2,4,7}:{(6,1),(7,1),(8,1),(31,1),(32,1),(113,1)}
        17:{2,3,4,6}:{(7,1),(9,1),(31,1),(33,1),(34,1),(59,1),(69,1),(74,1),(116,1)}
        18:{2,3,5,7}:{(7,1),(10,1),(27,1),(32,1),(33,1),(34,1),(60,1),(114,1),(142,1)}
        19:{1,3,4,6}:{(8,1),(9,1),(31,1),(35,1),(36,1),(59,1),(69,1),(77,1),(116,1)}
        20:{1,3,5,7}:{(8,1),(10,1),(28,1),(32,1),(35,1),(36,1),(60,1),(115,1),(143,1)}
        21:{3,5}:{(9,1),(11,1),(37,1)}
        22:{3,6}:{(10,1),(12,1)}
        23:{1,2,5,6}:{(11,1),(12,1),(38,1),(40,1),(63,1),(65,1)}
        24:{1,2,4,6,7}:{(12,1),(39,1),(40,1),(64,1),(66,1),(72,1),(79,1),(117,1)}
        25:{1,2,3,6}:{(13,1),(42,1),(50,1),(82,1)}
        26:{1,2,4,7}:{(13,1),(41,1),(42,1),(48,1)}
        27:{2,4,5,7}:{(14,1),(18,1),(44,1),(51,1),(86,1),(98,1),(99,1),(135,1)}
        28:{1,4,5,7}:{(14,1),(20,1),(45,1),(54,1),(88,1),(96,1),(101,1),(134,1)}
        29:{3,4,6}:{(14,1),(22,1),(44,1),(45,1),(46,1),(57,1),(82,1),(124,1)}
        30:{1,2,3,5}:{(15,1),(48,1),(49,1),(90,1),(93,1),(130,1)}
        31:{1,2,4,6}:{(15,1),(16,1),(17,1),(19,1),(48,1),(49,1),(50,1)}
        32:{1,2,5,7}:{(16,1),(18,1),(20,1),(49,1),(50,1),(130,1),(146,1)}
        33:{2,3,5}:{(17,1),(21,1),(49,1),(51,1),(81,1),(93,1)}
        34:{2,3,6}:{(18,1),(22,1),(44,1),(50,1),(82,1)}
        35:{1,3,5}:{(19,1),(21,1),(49,1),(54,1),(81,1),(93,1)}
        36:{1,3,6}:{(20,1),(22,1),(45,1),(50,1),(82,1)}
        37:{4,5}:{(21,1),(57,1)}
        38:{3,5,6}:{(21,1),(22,1),(23,1),(57,1),(58,1)}
        39:{3,6,7}:{(22,1),(24,1),(58,1),(133,1)}
        40:{1,2,5,7}:{(23,1),(24,1),(58,1),(86,1),(88,1)}
        41:{3,4,7}:{(26,1),(59,1),(60,1),(69,1),(138,1)}
        42:{1,2,4,6}:{(25,1),(26,1),(59,1),(61,1)}
        43:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(32,1),(60,1),(61,1),(62,1),(70,1),(105,1),(108,1),(117,1),(138,1)}
        44:{2,4,6}:{(27,1),(29,1),(34,1),(63,1)}
        45:{1,4,6}:{(28,1),(29,1),(36,1),(65,1)}
        46:{3,5,6}:{(29,1),(63,1),(65,1),(67,1),(68,1)}
        47:{3,4,6,7}:{(29,1),(39,1),(64,1),(66,1),(68,1),(79,1),(104,1),(107,1),(119,1),(121,1),(136,1),(137,1),(138,1)}
        48:{1,2,4}:{(30,1),(69,1)}
        49:{1,2,5}:{(31,1),(33,1),(35,1)}
        50:{1,2,6}:{(32,1),(34,1),(36,1)}
        51:{2,4,5}:{(33,1),(37,1),(73,1),(74,1),(105,1)}
        52:{2,3,5,6}:{(33,1),(34,1),(38,1),(63,1),(71,1),(74,1),(75,1),(106,1),(109,1),(116,1)}
        53:{2,3,6,7}:{(34,1),(39,1),(64,1),(72,1),(75,1),(107,1),(136,1),(142,1)}
        54:{1,4,5}:{(35,1),(37,1),(76,1),(77,1),(105,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(38,1),(65,1),(71,1),(77,1),(78,1),(106,1),(111,1),(116,1)}
        56:{1,3,6,7}:{(36,1),(39,1),(66,1),(72,1),(78,1),(107,1),(137,1),(143,1)}
        57:{4,6}:{(37,1),(38,1),(79,1)}
        58:{3,5,7}:{(38,1),(39,1),(40,1),(79,1)}
        59:{3,4,6}:{(41,1),(42,1),(81,1),(82,1),(124,1)}
        60:{3,5,7}:{(41,1),(43,1),(81,1),(82,1),(93,1),(133,1)}
        61:{1,2,5}:{(42,1),(81,1)}
        62:{1,2,4,6}:{(43,1),(44,1),(45,1),(50,1),(82,1),(83,1),(124,1)}
        63:{2,5,6}:{(44,1),(46,1),(86,1)}
        64:{2,4,6,7}:{(44,1),(47,1),(53,1),(86,1),(98,1),(135,1),(145,1)}
        65:{1,5,6}:{(45,1),(46,1),(88,1)}
        66:{1,4,6,7}:{(45,1),(47,1),(56,1),(88,1),(101,1),(134,1),(144,1)}
        67:{4,5,6}:{(46,1),(57,1),(89,1),(124,1)}
        68:{3,5,7}:{(46,1),(47,1),(86,1),(88,1),(89,1)}
        69:{3,4}:{(48,1),(93,1)}
        70:{1,2,4,5}:{(48,1),(49,1),(51,1),(54,1),(93,1),(94,1),(96,1),(99,1),(130,1)}
        71:{1,2,5,6}:{(49,1),(50,1),(52,1),(55,1),(94,1),(95,1),(126,1),(128,1)}
        72:{1,2,6,7}:{(50,1),(53,1),(56,1),(95,1),(144,1),(145,1),(146,1)}
        73:{3,4,5}:{(51,1),(93,1),(96,1),(97,1)}
        74:{2,4,6}:{(51,1),(52,1),(57,1),(97,1),(98,1),(124,1)}
        75:{2,3,5,7}:{(52,1),(53,1),(58,1),(86,1),(95,1),(98,1),(125,1),(127,1),(133,1)}
        76:{3,4,5}:{(54,1),(93,1),(99,1),(100,1)}
        77:{1,4,6}:{(54,1),(55,1),(57,1),(100,1),(101,1),(124,1)}
        78:{1,3,5,7}:{(55,1),(56,1),(58,1),(88,1),(95,1),(101,1),(125,1),(129,1),(133,1)}
        79:{4,7}:{(57,1),(58,1)}
        80:{3,5,6,7}:{(68,1),(102,1),(103,1),(104,1),(136,1),(137,1)}
        81:{3,5}:{(59,1),(61,1),(105,1)}
        82:{3,6}:{(60,1),(62,1)}
        83:{1,2,5,6}:{(61,1),(62,1),(63,1),(65,1),(106,1),(108,1)}
        84:{1,2,4,6,7}:{(62,1),(64,1),(66,1),(72,1),(107,1),(108,1),(117,1),(138,1)}
        85:{2,4,5,6}:{(63,1),(67,1),(74,1),(109,1),(110,1)}
        86:{2,5,7}:{(63,1),(64,1),(68,1)}
        87:{1,4,5,6}:{(65,1),(67,1),(77,1),(111,1),(112,1)}
        88:{1,5,7}:{(65,1),(66,1),(68,1)}
        89:{4,5,7}:{(67,1),(68,1),(79,1),(104,1),(138,1)}
        90:{1,2,3}:{(113,1)}
        91:{2,3,4}:{(69,1),(113,1),(114,1)}
        92:{1,3,4}:{(69,1),(113,1),(115,1)}
        93:{3,5}:{(69,1),(70,1),(116,1)}
        94:{1,2,4,6}:{(70,1),(71,1),(74,1),(77,1),(116,1),(117,1),(118,1),(120,1),(141,1)}
        95:{1,2,5,7}:{(71,1),(72,1),(75,1),(78,1),(117,1),(139,1),(140,1)}
        96:{1,4,5}:{(73,1),(115,1),(118,1)}
        97:{3,4,6}:{(73,1),(74,1),(109,1),(116,1),(118,1),(119,1)}
        98:{2,4,7}:{(74,1),(75,1),(79,1),(119,1),(138,1)}
        99:{2,4,5}:{(76,1),(114,1),(120,1)}
       100:{3,4,6}:{(76,1),(77,1),(111,1),(116,1),(120,1),(121,1)}
       101:{1,4,7}:{(77,1),(78,1),(79,1),(121,1),(138,1)}
       102:{2,5,6,7}:{(80,1),(86,1),(122,1),(145,1)}
       103:{1,5,6,7}:{(80,1),(88,1),(123,1),(144,1)}
       104:{4,6,7}:{(80,1),(89,1)}
       105:{4,5}:{(81,1),(124,1)}
       106:{3,5,6}:{(81,1),(82,1),(83,1),(124,1),(125,1)}
       107:{3,6,7}:{(82,1),(84,1),(125,1),(133,1)}
       108:{1,2,5,7}:{(83,1),(84,1),(86,1),(88,1),(125,1)}
       109:{3,5,6}:{(85,1),(97,1),(126,1),(127,1)}
       110:{2,4,5,7}:{(85,1),(86,1),(89,1),(98,1),(122,1),(127,1)}
       111:{3,5,6}:{(87,1),(100,1),(128,1),(129,1)}
       112:{1,4,5,7}:{(87,1),(88,1),(89,1),(101,1),(123,1),(129,1)}
       113:{1,2,4}:{(90,1),(91,1),(92,1),(130,1)}
       114:{2,3,5}:{(91,1),(93,1),(99,1),(130,1),(131,1)}
       115:{1,3,5}:{(92,1),(93,1),(96,1),(130,1),(132,1)}
       116:{3,6}:{(93,1),(94,1),(133,1)}
       117:{1,2,4,7}:{(94,1),(95,1),(98,1),(101,1),(133,1),(134,1),(135,1),(146,1)}
       118:{1,4,6}:{(96,1),(97,1),(126,1),(132,1),(134,1)}
       119:{3,4,7}:{(97,1),(98,1),(127,1),(133,1),(134,1)}
       120:{2,4,6}:{(99,1),(100,1),(128,1),(131,1),(135,1)}
       121:{3,4,7}:{(100,1),(101,1),(129,1),(133,1),(135,1)}
       122:{2,4,6,7}:{(102,1),(104,1),(110,1),(136,1)}
       123:{1,4,6,7}:{(103,1),(104,1),(112,1),(137,1)}
       124:{4,6}:{(105,1),(106,1),(138,1)}
       125:{3,5,7}:{(106,1),(107,1),(108,1),(138,1)}
       126:{1,5,6}:{(109,1),(118,1),(139,1)}
       127:{3,5,7}:{(109,1),(110,1),(119,1),(136,1),(139,1)}
       128:{2,5,6}:{(111,1),(120,1),(140,1)}
       129:{3,5,7}:{(111,1),(112,1),(121,1),(137,1),(140,1)}
       130:{1,2,5}:{(113,1),(114,1),(115,1),(141,1)}
       131:{2,3,6}:{(114,1),(116,1),(120,1),(141,1),(142,1)}
       132:{1,3,6}:{(115,1),(116,1),(118,1),(141,1),(143,1)}
       133:{3,7}:{(116,1),(117,1)}
       134:{1,4,7}:{(118,1),(119,1),(139,1),(143,1)}
       135:{2,4,7}:{(120,1),(121,1),(140,1),(142,1)}
       136:{3,6,7}:{(122,1),(127,1),(144,1)}
       137:{3,6,7}:{(123,1),(129,1),(145,1)}
       138:{4,7}:{(124,1),(125,1)}
       139:{1,5,7}:{(126,1),(127,1),(134,1),(144,1)}
       140:{2,5,7}:{(128,1),(129,1),(135,1),(145,1)}
       141:{1,2,6}:{(130,1),(131,1),(132,1),(146,1)}
       142:{2,3,7}:{(131,1),(133,1),(135,1),(146,1)}
       143:{1,3,7}:{(132,1),(133,1),(134,1),(146,1)}
       144:{1,6,7}:{(136,1),(139,1)}
       145:{2,6,7}:{(137,1),(140,1)}
       146:{1,2,7}:{(141,1),(142,1),(143,1)}

1377 :   0:{1,2,3,6,7}:{(1,1),(2,1),(34,1),(70,1),(71,1),(72,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1),(16,1),(19,1),(50,1),(88,1),(89,1)}
         2:{1,2,4,6,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(80,1),(81,1)}
         3:{3,4,6,7}:{(2,1),(7,1),(9,1),(24,1),(34,1)}
         4:{1,2,3,5,6}:{(1,1),(8,1),(11,1),(26,1),(29,1),(34,1),(66,1),(67,1),(68,1),(70,1)}
         5:{1,2,4,7}:{(1,1),(8,1),(9,1),(99,1),(100,1)}
         6:{1,2,5,7}:{(2,1),(7,1),(11,1),(93,1),(94,1)}
         7:{3,5,7}:{(3,1),(6,1),(12,1),(13,1)}
         8:{1,2,4,6}:{(4,1),(5,1),(14,1),(15,1),(84,1),(85,1)}
         9:{3,4,7}:{(5,1),(14,1),(19,1)}
        10:{1,2,4,5,7}:{(5,1),(6,1),(12,1),(15,1),(19,1),(20,1),(39,1),(40,1),(50,1)}
        11:{1,2,5,6}:{(6,1),(13,1),(20,1),(75,1),(76,1)}
        12:{4,5,7}:{(7,1),(24,1)}
        13:{3,5,6}:{(7,1),(11,1),(24,1),(34,1)}
        14:{3,4,6}:{(8,1),(9,1),(29,1),(34,1)}
        15:{1,2,4,5}:{(8,1),(29,1),(63,1),(64,1),(66,1)}
        16:{1,2,3,7}:{(26,1),(31,1),(110,1)}
        17:{2,3,4,7}:{(9,1),(27,1),(31,1),(32,1),(57,1),(99,1),(110,1)}
        18:{1,3,4,7}:{(9,1),(28,1),(31,1),(33,1),(57,1),(100,1),(110,1)}
        19:{3,5,7}:{(9,1),(10,1),(29,1),(34,1)}
        20:{1,2,4,6}:{(10,1),(11,1),(24,1),(34,1),(59,1),(60,1),(70,1)}
        21:{1,2,5,6,7}:{(11,1),(25,1),(35,1),(93,1),(94,1)}
        22:{1,2,3,5,7}:{(16,1),(36,1),(38,1),(43,1),(50,1),(74,1),(78,1)}
        23:{3,4,5,7}:{(12,1),(19,1),(39,1),(40,1),(41,1),(44,1),(77,1),(78,1),(86,1),(102,1),(111,1)}
        24:{4,6}:{(12,1),(13,1)}
        25:{3,5,6,7}:{(13,1),(21,1),(42,1),(53,1),(77,1)}
        26:{1,2,3,6}:{(16,1),(43,1),(45,1),(106,1)}
        27:{2,3,4,6}:{(14,1),(17,1),(45,1),(46,1),(51,1),(73,1),(82,1),(84,1),(106,1)}
        28:{1,3,4,6}:{(14,1),(18,1),(45,1),(47,1),(52,1),(73,1),(82,1),(85,1),(106,1)}
        29:{3,5}:{(14,1),(15,1)}
        30:{1,2,4,5,6}:{(15,1),(20,1),(37,1),(48,1),(49,1),(75,1),(76,1),(84,1),(85,1),(87,1)}
        31:{1,2,4,7}:{(16,1),(17,1),(18,1),(45,1),(50,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(39,1),(46,1),(50,1),(51,1),(78,1)}
        33:{1,3,5,7}:{(18,1),(19,1),(40,1),(47,1),(50,1),(52,1),(78,1)}
        34:{3,6}:{(19,1),(20,1)}
        35:{1,2,4,6,7}:{(20,1),(21,1),(42,1),(49,1),(53,1),(80,1),(81,1),(90,1)}
        36:{1,2,3,6}:{(22,1),(54,1),(70,1),(95,1)}
        37:{4,5,6}:{(24,1),(55,1),(56,1),(108,1)}
        38:{1,2,4,7}:{(22,1),(54,1),(57,1),(62,1)}
        39:{2,4,5,7}:{(23,1),(32,1),(59,1),(63,1),(93,1),(99,1)}
        40:{1,4,5,7}:{(23,1),(33,1),(60,1),(64,1),(94,1),(100,1)}
        41:{3,4,6}:{(23,1),(24,1),(34,1),(55,1),(59,1),(60,1),(95,1),(108,1)}
        42:{4,6,7}:{(24,1),(25,1),(56,1)}
        43:{1,2,3,5}:{(26,1),(62,1),(66,1),(97,1)}
        44:{3,4,5}:{(29,1),(63,1),(64,1),(65,1),(97,1)}
        45:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(62,1),(66,1),(70,1)}
        46:{2,3,5}:{(27,1),(29,1),(63,1),(66,1),(91,1),(97,1)}
        47:{1,3,5}:{(28,1),(29,1),(64,1),(66,1),(91,1),(97,1)}
        48:{3,5,6}:{(29,1),(30,1),(34,1),(65,1),(69,1)}
        49:{1,2,4,5,7}:{(30,1),(35,1),(56,1),(69,1),(93,1),(94,1),(99,1),(100,1),(101,1)}
        50:{1,2,5,7}:{(31,1),(32,1),(33,1),(66,1),(70,1)}
        51:{2,3,6}:{(32,1),(34,1),(59,1),(70,1),(95,1)}
        52:{1,3,6}:{(33,1),(34,1),(60,1),(70,1),(95,1)}
        53:{3,6,7}:{(34,1),(35,1),(69,1)}
        54:{1,2,4,6}:{(36,1),(38,1),(73,1),(74,1)}
        55:{3,5,6}:{(37,1),(41,1),(75,1),(76,1),(77,1)}
        56:{4,5,7}:{(37,1),(42,1),(77,1),(111,1)}
        57:{3,4,7}:{(38,1),(73,1),(78,1),(82,1),(111,1)}
        58:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(50,1),(74,1),(78,1),(79,1),(83,1),(102,1),(104,1),(107,1),(111,1)}
        59:{2,4,6}:{(39,1),(41,1),(51,1),(75,1)}
        60:{1,4,6}:{(40,1),(41,1),(52,1),(76,1)}
        61:{3,4,6,7}:{(41,1),(42,1),(53,1),(77,1),(80,1),(81,1),(86,1),(105,1),(111,1)}
        62:{1,2,4}:{(43,1),(82,1)}
        63:{2,4,5}:{(44,1),(46,1),(84,1),(102,1)}
        64:{1,4,5}:{(44,1),(47,1),(85,1),(102,1)}
        65:{3,4,6}:{(44,1),(48,1),(84,1),(85,1),(86,1),(106,1)}
        66:{1,2,5}:{(45,1),(46,1),(47,1)}
        67:{2,3,5,6}:{(46,1),(48,1),(51,1),(75,1),(84,1),(87,1),(88,1),(103,1),(106,1)}
        68:{1,3,5,6}:{(47,1),(48,1),(52,1),(76,1),(85,1),(87,1),(89,1),(103,1),(106,1)}
        69:{3,5,7}:{(48,1),(49,1),(53,1),(86,1)}
        70:{1,2,6}:{(50,1),(51,1),(52,1)}
        71:{2,3,6,7}:{(51,1),(53,1),(80,1),(88,1),(90,1),(105,1)}
        72:{1,3,6,7}:{(52,1),(53,1),(81,1),(89,1),(90,1),(105,1)}
        73:{3,4,6}:{(54,1),(57,1),(91,1),(95,1),(108,1)}
        74:{1,2,5}:{(54,1),(91,1)}
        75:{2,5,6}:{(55,1),(59,1),(93,1)}
        76:{1,5,6}:{(55,1),(60,1),(94,1)}
        77:{3,5,7}:{(55,1),(56,1),(61,1),(93,1),(94,1)}
        78:{3,5,7}:{(57,1),(58,1),(91,1),(95,1),(97,1),(110,1)}
        79:{1,2,4,6}:{(58,1),(59,1),(60,1),(70,1),(92,1),(95,1),(108,1)}
        80:{2,4,6,7}:{(59,1),(61,1),(71,1),(93,1),(99,1)}
        81:{1,4,6,7}:{(60,1),(61,1),(72,1),(94,1),(100,1)}
        82:{3,4}:{(62,1),(97,1)}
        83:{1,2,4,5}:{(62,1),(63,1),(64,1),(66,1),(97,1),(98,1)}
        84:{2,4,6}:{(63,1),(65,1),(67,1),(99,1),(108,1)}
        85:{1,4,6}:{(64,1),(65,1),(68,1),(100,1),(108,1)}
        86:{3,4,7}:{(65,1),(69,1),(99,1),(100,1),(110,1)}
        87:{1,2,5,6}:{(66,1),(67,1),(68,1),(70,1),(98,1),(101,1)}
        88:{2,3,5,7}:{(67,1),(69,1),(71,1),(93,1),(99,1),(101,1),(109,1),(110,1)}
        89:{1,3,5,7}:{(68,1),(69,1),(72,1),(94,1),(100,1),(101,1),(109,1),(110,1)}
        90:{1,2,6,7}:{(70,1),(71,1),(72,1),(101,1)}
        91:{3,5}:{(73,1),(74,1),(102,1)}
        92:{1,2,5,6}:{(74,1),(75,1),(76,1),(79,1),(103,1),(104,1)}
        93:{2,5,7}:{(75,1),(77,1),(80,1)}
        94:{1,5,7}:{(76,1),(77,1),(81,1)}
        95:{3,6}:{(78,1),(79,1)}
        96:{1,2,4,6,7}:{(79,1),(80,1),(81,1),(90,1),(104,1),(105,1),(107,1),(111,1)}
        97:{3,5}:{(82,1),(83,1),(106,1)}
        98:{1,2,4,6}:{(83,1),(84,1),(85,1),(87,1),(106,1),(107,1)}
        99:{2,4,7}:{(84,1),(86,1),(88,1),(111,1)}
       100:{1,4,7}:{(85,1),(86,1),(89,1),(111,1)}
       101:{1,2,5,7}:{(87,1),(88,1),(89,1),(90,1),(107,1)}
       102:{4,5}:{(91,1),(108,1)}
       103:{3,5,6}:{(91,1),(92,1),(95,1),(108,1),(109,1)}
       104:{1,2,5,7}:{(92,1),(93,1),(94,1),(96,1),(109,1)}
       105:{3,6,7}:{(95,1),(96,1),(109,1),(110,1)}
       106:{3,6}:{(97,1),(98,1),(110,1)}
       107:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(110,1)}
       108:{4,6}:{(102,1),(103,1),(111,1)}
       109:{3,5,7}:{(103,1),(104,1),(105,1),(111,1)}
       110:{3,7}:{(106,1),(107,1)}
       111:{4,7}:{(108,1),(109,1)}

1378 :   0:{3,5,6,7}:{(2,1),(4,1),(6,1),(28,1),(37,1),(45,1)}
         1:{3,4,5,7}:{(8,1),(9,1),(10,1),(32,1),(41,1),(45,1),(51,1),(84,1),(97,1),(162,1),(164,1)}
         2:{2,5,6,7}:{(0,1),(11,1),(67,1),(79,1)}
         3:{2,3,4,7}:{(13,1),(14,1),(15,1),(77,1),(83,1),(115,1),(166,1),(196,1)}
         4:{1,5,6,7}:{(0,1),(16,1),(53,1),(78,1)}
         5:{1,3,4,7}:{(18,1),(19,1),(20,1),(64,1),(83,1),(126,1),(174,1),(200,1)}
         6:{4,6,7}:{(0,1),(21,1)}
         7:{4,5,6}:{(21,1),(23,1),(140,1)}
         8:{3,4,6}:{(1,1),(23,1),(24,1),(25,1),(82,1),(140,1)}
         9:{1,4,5,7}:{(1,1),(18,1),(24,1),(60,1),(73,1),(78,1),(114,1),(126,1)}
        10:{2,4,5,7}:{(1,1),(13,1),(25,1),(61,1),(74,1),(79,1),(115,1),(127,1)}
        11:{2,4,6,7}:{(2,1),(6,1),(27,1),(28,1)}
        12:{2,4,5,6}:{(7,1),(27,1),(29,1),(49,1),(89,1)}
        13:{2,3,5,7}:{(3,1),(10,1),(30,1),(31,1),(33,1),(51,1),(106,1),(152,1),(204,1)}
        14:{2,3,4,6}:{(3,1),(30,1),(33,1),(34,1),(89,1),(113,1),(147,1),(151,1),(187,1)}
        15:{1,2,4,7}:{(3,1),(31,1),(34,1),(35,1),(92,1),(109,1)}
        16:{1,4,6,7}:{(4,1),(6,1),(36,1),(37,1)}
        17:{1,4,5,6}:{(7,1),(36,1),(38,1),(48,1),(101,1)}
        18:{1,3,5,7}:{(5,1),(9,1),(39,1),(40,1),(42,1),(51,1),(93,1),(142,1),(206,1)}
        19:{1,3,4,6}:{(5,1),(39,1),(42,1),(43,1),(101,1),(113,1),(157,1),(161,1),(193,1)}
        20:{1,2,4,7}:{(5,1),(40,1),(43,1),(44,1),(96,1),(105,1)}
        21:{4,5,7}:{(6,1),(7,1),(45,1),(162,1)}
        22:{3,4,6,7}:{(6,1),(8,1),(28,1),(37,1),(45,1),(46,1),(47,1),(84,1),(97,1),(111,1),(162,1)}
        23:{3,5,6}:{(7,1),(8,1),(45,1),(48,1),(49,1)}
        24:{1,4,6}:{(8,1),(9,1),(39,1),(48,1)}
        25:{2,4,6}:{(8,1),(10,1),(30,1),(49,1)}
        26:{1,2,4,5,7}:{(9,1),(10,1),(31,1),(40,1),(50,1),(51,1),(92,1),(94,1),(105,1),(107,1),(110,1),(143,1),(149,1),(153,1),(159,1),(162,1),(164,1),(185,1),(191,1),(204,1),(206,1)}
        27:{2,4,5,7}:{(11,1),(12,1),(21,1),(52,1),(79,1),(115,1)}
        28:{3,6,7}:{(11,1),(52,1),(53,1)}
        29:{3,5,6}:{(12,1),(52,1),(55,1),(56,1)}
        30:{2,3,6}:{(13,1),(25,1),(58,1),(82,1),(208,1)}
        31:{1,2,5,7}:{(13,1),(15,1),(58,1),(59,1),(62,1),(134,1),(173,1)}
        32:{3,4,5}:{(55,1),(60,1),(61,1),(123,1)}
        33:{2,3,5}:{(14,1),(61,1),(62,1),(123,1),(141,1),(199,1)}
        34:{1,2,4,6}:{(14,1),(15,1),(58,1),(62,1),(63,1),(121,1),(124,1)}
        35:{1,3,7}:{(15,1),(63,1),(137,1),(166,1)}
        36:{1,4,5,7}:{(16,1),(17,1),(21,1),(65,1),(78,1),(126,1)}
        37:{3,6,7}:{(16,1),(65,1),(67,1)}
        38:{3,5,6}:{(17,1),(65,1),(68,1),(70,1)}
        39:{1,3,6}:{(18,1),(24,1),(71,1),(82,1),(209,1)}
        40:{1,2,5,7}:{(18,1),(20,1),(71,1),(72,1),(75,1),(122,1),(165,1)}
        41:{3,4,5}:{(68,1),(73,1),(74,1),(135,1)}
        42:{1,3,5}:{(19,1),(73,1),(75,1),(135,1),(141,1),(203,1)}
        43:{1,2,4,6}:{(19,1),(20,1),(71,1),(75,1),(76,1),(133,1),(136,1)}
        44:{2,3,7}:{(20,1),(76,1),(125,1),(174,1)}
        45:{3,5,7}:{(21,1),(22,1),(23,1),(78,1),(79,1)}
        46:{1,4,6,7}:{(22,1),(24,1),(53,1),(66,1),(78,1),(114,1),(126,1)}
        47:{2,4,6,7}:{(22,1),(25,1),(54,1),(67,1),(79,1),(115,1),(127,1)}
        48:{1,5,6}:{(23,1),(24,1),(78,1)}
        49:{2,5,6}:{(23,1),(25,1),(79,1)}
        50:{1,2,4,6}:{(24,1),(25,1),(26,1),(58,1),(71,1),(81,1),(82,1),(121,1),(133,1),(140,1),(198,1),(202,1),(208,1),(209,1)}
        51:{3,5,7}:{(26,1),(82,1),(83,1),(123,1),(135,1),(141,1),(166,1),(174,1)}
        52:{3,5,7}:{(27,1),(28,1),(29,1),(84,1),(85,1)}
        53:{1,6,7}:{(28,1),(85,1)}
        54:{2,3,6,7}:{(28,1),(30,1),(47,1),(86,1),(87,1),(111,1),(152,1)}
        55:{3,4,6}:{(29,1),(32,1),(84,1),(88,1),(89,1),(147,1)}
        56:{1,5,6}:{(29,1),(85,1),(88,1)}
        57:{2,3,5,6}:{(29,1),(30,1),(33,1),(49,1),(86,1),(89,1),(90,1),(112,1),(147,1)}
        58:{1,2,6}:{(30,1),(31,1),(91,1)}
        59:{1,3,5,7}:{(31,1),(35,1),(51,1),(91,1),(92,1),(95,1),(149,1),(160,1),(189,1),(206,1)}
        60:{1,4,5}:{(32,1),(88,1),(93,1)}
        61:{2,4,5}:{(32,1),(33,1),(89,1),(164,1)}
        62:{1,2,5}:{(33,1),(34,1),(95,1),(149,1)}
        63:{1,3,6}:{(34,1),(35,1),(95,1),(147,1)}
        64:{1,3,4}:{(93,1),(96,1),(151,1)}
        65:{3,5,7}:{(36,1),(37,1),(38,1),(97,1),(99,1)}
        66:{1,3,6,7}:{(37,1),(39,1),(46,1),(98,1),(100,1),(111,1),(142,1)}
        67:{2,6,7}:{(37,1),(99,1)}
        68:{3,4,6}:{(38,1),(41,1),(97,1),(101,1),(102,1),(157,1)}
        69:{1,3,5,6}:{(38,1),(39,1),(42,1),(48,1),(98,1),(101,1),(103,1),(112,1),(157,1)}
        70:{2,5,6}:{(38,1),(99,1),(102,1)}
        71:{1,2,6}:{(39,1),(40,1),(104,1)}
        72:{2,3,5,7}:{(40,1),(44,1),(51,1),(104,1),(105,1),(108,1),(150,1),(159,1),(183,1),(204,1)}
        73:{1,4,5}:{(41,1),(42,1),(101,1),(164,1)}
        74:{2,4,5}:{(41,1),(102,1),(106,1)}
        75:{1,2,5}:{(42,1),(43,1),(108,1),(159,1)}
        76:{2,3,6}:{(43,1),(44,1),(108,1),(157,1)}
        77:{2,3,4}:{(106,1),(109,1),(161,1)}
        78:{1,5,7}:{(45,1),(46,1),(48,1)}
        79:{2,5,7}:{(45,1),(47,1),(49,1)}
        80:{1,2,4,6,7}:{(46,1),(47,1),(50,1),(87,1),(100,1),(110,1),(111,1),(143,1),(145,1),(153,1),(155,1),(162,1)}
        81:{1,2,5,6}:{(48,1),(49,1),(50,1),(110,1),(112,1),(149,1),(159,1),(186,1),(192,1)}
        82:{3,6}:{(50,1),(51,1)}
        83:{3,4,7}:{(51,1),(92,1),(105,1),(113,1),(151,1),(161,1),(162,1)}
        84:{3,4,7}:{(52,1),(55,1),(114,1),(115,1),(166,1)}
        85:{1,5,7}:{(52,1),(53,1),(56,1),(114,1)}
        86:{2,3,5,7}:{(52,1),(54,1),(57,1),(79,1),(115,1),(116,1),(138,1),(166,1)}
        87:{1,2,6,7}:{(53,1),(54,1),(58,1),(116,1),(117,1),(173,1),(208,1)}
        88:{1,4,6}:{(55,1),(56,1),(60,1),(114,1),(118,1)}
        89:{2,4,6}:{(55,1),(57,1),(61,1),(115,1),(140,1)}
        90:{1,2,5,6}:{(56,1),(57,1),(58,1),(62,1),(116,1),(119,1),(120,1),(199,1),(208,1)}
        91:{1,3,6}:{(58,1),(59,1),(82,1),(121,1),(209,1)}
        92:{1,4,7}:{(59,1),(83,1),(121,1),(124,1),(180,1)}
        93:{1,3,5}:{(60,1),(64,1),(118,1),(122,1),(123,1)}
        94:{1,2,4,5}:{(60,1),(61,1),(62,1),(119,1),(122,1),(123,1),(124,1),(171,1),(172,1),(199,1)}
        95:{1,3,5}:{(62,1),(63,1),(123,1),(124,1)}
        96:{1,2,4}:{(64,1),(122,1),(125,1),(172,1)}
        97:{3,4,7}:{(65,1),(68,1),(126,1),(127,1),(174,1)}
        98:{1,3,5,7}:{(65,1),(66,1),(69,1),(78,1),(126,1),(128,1),(138,1),(174,1)}
        99:{2,5,7}:{(65,1),(67,1),(70,1),(127,1)}
       100:{1,2,6,7}:{(66,1),(67,1),(71,1),(128,1),(129,1),(165,1),(209,1)}
       101:{1,4,6}:{(68,1),(69,1),(73,1),(126,1),(140,1)}
       102:{2,4,6}:{(68,1),(70,1),(74,1),(127,1),(130,1)}
       103:{1,2,5,6}:{(69,1),(70,1),(71,1),(75,1),(128,1),(131,1),(132,1),(203,1),(209,1)}
       104:{2,3,6}:{(71,1),(72,1),(82,1),(133,1),(208,1)}
       105:{2,4,7}:{(72,1),(83,1),(133,1),(136,1),(172,1)}
       106:{2,3,5}:{(74,1),(77,1),(130,1),(134,1),(135,1)}
       107:{1,2,4,5}:{(73,1),(74,1),(75,1),(131,1),(134,1),(135,1),(136,1),(179,1),(180,1),(203,1)}
       108:{2,3,5}:{(75,1),(76,1),(135,1),(136,1)}
       109:{1,2,4}:{(77,1),(134,1),(137,1),(180,1)}
       110:{1,2,5,7}:{(78,1),(79,1),(80,1),(81,1),(138,1),(168,1),(176,1)}
       111:{3,6,7}:{(80,1),(82,1),(138,1),(166,1),(174,1)}
       112:{3,5,6}:{(81,1),(82,1),(138,1),(140,1),(141,1)}
       113:{3,4,6}:{(82,1),(83,1),(121,1),(133,1),(140,1),(141,1)}
       114:{1,4,7}:{(84,1),(85,1),(88,1),(142,1)}
       115:{2,4,7}:{(84,1),(86,1),(89,1),(162,1)}
       116:{1,2,5,7}:{(85,1),(86,1),(87,1),(90,1),(143,1),(144,1),(204,1)}
       117:{1,3,6,7}:{(87,1),(91,1),(111,1),(144,1),(145,1),(189,1),(205,1)}
       118:{1,3,6}:{(88,1),(93,1),(142,1),(146,1),(147,1)}
       119:{1,2,4,6}:{(88,1),(89,1),(90,1),(94,1),(143,1),(146,1),(147,1),(148,1),(187,1)}
       120:{1,3,5,6}:{(90,1),(91,1),(95,1),(112,1),(144,1),(147,1),(148,1),(149,1),(186,1),(188,1),(205,1)}
       121:{1,4,6}:{(91,1),(92,1),(113,1),(149,1)}
       122:{1,2,5}:{(93,1),(96,1),(146,1),(150,1)}
       123:{3,5}:{(94,1),(147,1),(151,1)}
       124:{1,4}:{(95,1),(151,1)}
       125:{2,3}:{(96,1)}
       126:{1,4,7}:{(97,1),(98,1),(101,1),(162,1)}
       127:{2,4,7}:{(97,1),(99,1),(102,1),(152,1)}
       128:{1,2,5,7}:{(98,1),(99,1),(100,1),(103,1),(153,1),(154,1),(206,1)}
       129:{2,3,6,7}:{(100,1),(104,1),(111,1),(154,1),(155,1),(183,1),(207,1)}
       130:{2,3,6}:{(102,1),(106,1),(152,1),(156,1),(157,1)}
       131:{1,2,4,6}:{(101,1),(102,1),(103,1),(107,1),(153,1),(156,1),(157,1),(158,1),(193,1)}
       132:{2,3,5,6}:{(103,1),(104,1),(108,1),(112,1),(154,1),(157,1),(158,1),(159,1),(192,1),(194,1),(207,1)}
       133:{2,4,6}:{(104,1),(105,1),(113,1),(159,1)}
       134:{1,2,5}:{(106,1),(109,1),(156,1),(160,1)}
       135:{3,5}:{(107,1),(157,1),(161,1)}
       136:{2,4}:{(108,1),(161,1)}
       137:{1,3}:{(109,1)}
       138:{3,5,7}:{(110,1),(111,1),(112,1),(162,1)}
       139:{3,4,6,7}:{(111,1),(113,1),(145,1),(155,1),(162,1),(163,1),(184,1),(190,1),(195,1),(205,1),(207,1)}
       140:{4,6}:{(112,1),(162,1),(164,1)}
       141:{3,5}:{(113,1),(149,1),(159,1),(164,1)}
       142:{1,3,7}:{(114,1),(118,1),(165,1),(166,1)}
       143:{1,2,4,7}:{(114,1),(115,1),(116,1),(119,1),(165,1),(166,1),(167,1),(196,1)}
       144:{1,3,5,7}:{(116,1),(117,1),(120,1),(138,1),(166,1),(167,1),(168,1),(197,1)}
       145:{1,4,6,7}:{(117,1),(121,1),(139,1),(167,1),(168,1),(198,1),(200,1),(209,1)}
       146:{1,2,6}:{(118,1),(122,1),(165,1),(169,1)}
       147:{3,6}:{(119,1),(123,1),(166,1)}
       148:{1,4,6}:{(120,1),(124,1),(140,1),(167,1),(170,1),(171,1)}
       149:{1,5}:{(121,1),(141,1)}
       150:{2,3,5}:{(122,1),(123,1),(125,1),(169,1),(172,1),(199,1)}
       151:{3,4}:{(123,1),(124,1),(172,1)}
       152:{2,3,7}:{(127,1),(130,1),(173,1),(174,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(128,1),(131,1),(173,1),(174,1),(175,1),(200,1)}
       154:{2,3,5,7}:{(128,1),(129,1),(132,1),(138,1),(174,1),(175,1),(176,1),(201,1)}
       155:{2,4,6,7}:{(129,1),(133,1),(139,1),(175,1),(176,1),(196,1),(202,1),(208,1)}
       156:{1,2,6}:{(130,1),(134,1),(173,1),(177,1)}
       157:{3,6}:{(131,1),(135,1),(174,1)}
       158:{2,4,6}:{(132,1),(136,1),(140,1),(175,1),(178,1),(179,1)}
       159:{2,5}:{(133,1),(141,1)}
       160:{1,3,5}:{(134,1),(135,1),(137,1),(177,1),(180,1),(203,1)}
       161:{3,4}:{(135,1),(136,1),(180,1)}
       162:{4,7}:{(138,1),(140,1)}
       163:{3,5,7}:{(139,1),(141,1),(168,1),(176,1),(181,1),(182,1)}
       164:{4,5}:{(140,1),(141,1)}
       165:{1,2,7}:{(142,1),(146,1),(183,1)}
       166:{3,7}:{(143,1),(147,1)}
       167:{1,4,7}:{(144,1),(148,1),(162,1),(184,1)}
       168:{1,5,7}:{(145,1),(149,1),(163,1),(186,1)}
       169:{2,3,6}:{(146,1),(147,1),(150,1),(183,1),(187,1)}
       170:{3,4,6}:{(147,1),(148,1),(151,1),(184,1),(187,1),(188,1),(205,1)}
       171:{1,4,5}:{(148,1),(149,1),(164,1),(188,1)}
       172:{2,4}:{(150,1),(151,1)}
       173:{1,2,7}:{(152,1),(156,1),(189,1)}
       174:{3,7}:{(153,1),(157,1)}
       175:{2,4,7}:{(154,1),(158,1),(162,1),(190,1)}
       176:{2,5,7}:{(155,1),(159,1),(163,1),(192,1)}
       177:{1,3,6}:{(156,1),(157,1),(160,1),(189,1),(193,1)}
       178:{3,4,6}:{(157,1),(158,1),(161,1),(190,1),(193,1),(194,1),(207,1)}
       179:{2,4,5}:{(158,1),(159,1),(164,1),(194,1)}
       180:{1,4}:{(160,1),(161,1)}
       181:{4,5,7}:{(162,1),(163,1),(164,1),(195,1)}
       182:{3,5,6}:{(163,1),(186,1),(192,1),(195,1),(205,1),(207,1)}
       183:{2,3,7}:{(165,1),(166,1),(169,1),(196,1)}
       184:{3,4,7}:{(166,1),(167,1),(170,1),(196,1),(197,1)}
       185:{1,4,5,7}:{(167,1),(168,1),(171,1),(181,1),(197,1),(198,1)}
       186:{1,5,6}:{(168,1),(182,1),(198,1),(209,1)}
       187:{2,4,6}:{(169,1),(170,1),(172,1),(196,1),(199,1),(208,1)}
       188:{3,5}:{(170,1),(171,1),(199,1)}
       189:{1,3,7}:{(173,1),(174,1),(177,1),(200,1)}
       190:{3,4,7}:{(174,1),(175,1),(178,1),(200,1),(201,1)}
       191:{2,4,5,7}:{(175,1),(176,1),(179,1),(181,1),(201,1),(202,1)}
       192:{2,5,6}:{(176,1),(182,1),(202,1),(208,1)}
       193:{1,4,6}:{(177,1),(178,1),(180,1),(200,1),(203,1),(209,1)}
       194:{3,5}:{(178,1),(179,1),(203,1)}
       195:{4,6}:{(181,1),(182,1)}
       196:{2,4,7}:{(183,1),(184,1),(187,1),(204,1)}
       197:{3,5,7}:{(184,1),(185,1),(188,1),(204,1),(205,1)}
       198:{1,4,6}:{(185,1),(186,1),(195,1),(205,1)}
       199:{2,5}:{(187,1),(188,1)}
       200:{1,4,7}:{(189,1),(190,1),(193,1),(206,1)}
       201:{3,5,7}:{(190,1),(191,1),(194,1),(206,1),(207,1)}
       202:{2,4,6}:{(191,1),(192,1),(195,1),(207,1)}
       203:{1,5}:{(193,1),(194,1)}
       204:{2,5,7}:{(196,1),(197,1),(199,1),(208,1)}
       205:{3,6}:{(197,1),(198,1),(208,1)}
       206:{1,5,7}:{(200,1),(201,1),(203,1),(209,1)}
       207:{3,6}:{(201,1),(202,1),(209,1)}
       208:{2,6}:{(204,1),(205,1)}
       209:{1,6}:{(206,1),(207,1)}

1379 :   0:{1,2,3,5,7}:{(2,1),(4,1),(6,1),(7,1),(28,1),(30,1),(34,1),(36,1),(39,1),(42,1)}
         1:{3,4,5,7}:{(8,1),(9,1),(10,1),(39,1),(47,1),(89,1),(99,1),(103,1),(155,1),(167,1),(171,1)}
         2:{1,2,3,7}:{(11,1),(12,1),(179,1),(194,1),(219,1)}
         3:{2,3,4,7}:{(11,1),(13,1),(14,1),(19,1),(120,1),(131,1),(179,1)}
         4:{1,2,3,7}:{(15,1),(16,1),(183,1),(190,1),(224,1)}
         5:{1,3,4,7}:{(15,1),(17,1),(18,1),(19,1),(118,1),(132,1),(190,1)}
         6:{1,2,4,7}:{(0,1),(19,1),(21,1),(56,1),(64,1)}
         7:{1,2,3,6}:{(0,1),(21,1),(54,1),(62,1),(69,1)}
         8:{2,4,5,7}:{(1,1),(13,1),(22,1),(59,1),(73,1),(120,1),(134,1),(195,1)}
         9:{1,4,5,7}:{(1,1),(17,1),(23,1),(67,1),(75,1),(122,1),(132,1),(184,1)}
        10:{3,4,6}:{(1,1),(22,1),(23,1),(25,1),(69,1),(138,1)}
        11:{1,2,4,7}:{(2,1),(3,1),(27,1),(28,1),(29,1),(166,1)}
        12:{1,2,3,6}:{(2,1),(29,1),(30,1),(151,1),(205,1)}
        13:{2,3,5,7}:{(3,1),(8,1),(28,1),(31,1),(32,1),(39,1),(165,1),(212,1)}
        14:{2,3,4,6}:{(3,1),(29,1),(31,1),(32,1),(40,1),(86,1),(88,1),(151,1)}
        15:{1,2,4,7}:{(4,1),(5,1),(33,1),(34,1),(35,1),(154,1)}
        16:{1,2,3,6}:{(4,1),(35,1),(36,1),(163,1),(213,1)}
        17:{1,3,5,7}:{(5,1),(9,1),(34,1),(37,1),(38,1),(39,1),(152,1),(203,1)}
        18:{1,3,4,6}:{(5,1),(35,1),(37,1),(38,1),(40,1),(96,1),(98,1),(163,1)}
        19:{3,4,7}:{(6,1),(39,1),(40,1),(86,1),(96,1),(171,1)}
        20:{1,2,4,5,7}:{(6,1),(8,1),(9,1),(28,1),(34,1),(39,1),(41,1),(42,1),(80,1),(85,1),(90,1),(95,1),(103,1),(104,1),(150,1),(162,1),(171,1)}
        21:{1,2,4,6}:{(6,1),(7,1),(40,1),(42,1)}
        22:{2,4,6}:{(8,1),(10,1),(31,1),(44,1)}
        23:{1,4,6}:{(9,1),(10,1),(37,1),(46,1)}
        24:{3,4,6,7}:{(10,1),(43,1),(45,1),(47,1),(51,1),(101,1),(109,1),(110,1),(155,1),(167,1),(171,1)}
        25:{3,5,6}:{(10,1),(44,1),(46,1),(47,1),(48,1)}
        26:{3,5,6,7}:{(47,1),(49,1),(50,1),(51,1),(109,1),(110,1)}
        27:{1,3,4,7}:{(11,1),(19,1),(52,1),(53,1),(130,1),(176,1),(179,1)}
        28:{1,2,5,7}:{(11,1),(13,1),(52,1),(54,1),(55,1),(193,1),(224,1)}
        29:{1,2,4,6}:{(11,1),(12,1),(14,1),(53,1),(54,1),(55,1),(56,1)}
        30:{1,2,3,5}:{(12,1),(55,1),(56,1),(117,1),(182,1),(183,1)}
        31:{2,3,6}:{(13,1),(22,1),(54,1),(69,1)}
        32:{2,3,5}:{(14,1),(55,1),(59,1),(70,1),(117,1)}
        33:{2,3,4,7}:{(15,1),(19,1),(60,1),(61,1),(119,1),(187,1),(190,1)}
        34:{1,2,5,7}:{(15,1),(17,1),(60,1),(62,1),(63,1),(182,1),(219,1)}
        35:{1,2,4,6}:{(15,1),(16,1),(18,1),(61,1),(62,1),(63,1),(64,1)}
        36:{1,2,3,5}:{(16,1),(63,1),(64,1),(129,1),(193,1),(194,1)}
        37:{1,3,6}:{(17,1),(23,1),(62,1),(69,1)}
        38:{1,3,5}:{(18,1),(63,1),(67,1),(70,1),(129,1)}
        39:{3,5,7}:{(19,1),(20,1),(69,1),(70,1),(117,1),(129,1),(179,1),(190,1)}
        40:{3,4,6}:{(19,1),(21,1),(69,1),(70,1),(138,1)}
        41:{1,2,4,6}:{(20,1),(22,1),(23,1),(54,1),(62,1),(69,1),(72,1),(111,1),(123,1),(138,1)}
        42:{1,2,5}:{(21,1),(70,1)}
        43:{2,4,6,7}:{(22,1),(24,1),(57,1),(73,1),(120,1),(144,1),(195,1)}
        44:{2,5,6}:{(22,1),(25,1),(73,1)}
        45:{1,4,6,7}:{(23,1),(24,1),(65,1),(75,1),(132,1),(143,1),(184,1)}
        46:{1,5,6}:{(23,1),(25,1),(75,1)}
        47:{3,5,7}:{(24,1),(25,1),(73,1),(75,1),(77,1)}
        48:{4,5,6}:{(25,1),(77,1),(138,1)}
        49:{2,5,6,7}:{(26,1),(73,1),(78,1),(144,1)}
        50:{1,5,6,7}:{(26,1),(75,1),(79,1),(143,1)}
        51:{4,6,7}:{(26,1),(77,1)}
        52:{1,3,5,7}:{(27,1),(28,1),(39,1),(80,1),(81,1),(82,1),(164,1),(211,1)}
        53:{1,3,4,6}:{(27,1),(29,1),(40,1),(81,1),(82,1),(86,1),(148,1),(151,1)}
        54:{1,2,6}:{(28,1),(31,1),(81,1)}
        55:{1,2,5}:{(29,1),(32,1),(82,1)}
        56:{1,2,4}:{(30,1),(86,1)}
        57:{2,3,6,7}:{(31,1),(43,1),(83,1),(87,1),(101,1),(109,1),(212,1)}
        58:{2,3,5,6}:{(31,1),(32,1),(44,1),(84,1),(87,1),(88,1),(102,1),(106,1),(151,1)}
        59:{2,4,5}:{(32,1),(88,1),(89,1),(103,1)}
        60:{2,3,5,7}:{(33,1),(34,1),(39,1),(90,1),(91,1),(92,1),(153,1),(204,1)}
        61:{2,3,4,6}:{(33,1),(35,1),(40,1),(91,1),(92,1),(96,1),(160,1),(163,1)}
        62:{1,2,6}:{(34,1),(37,1),(91,1)}
        63:{1,2,5}:{(35,1),(38,1),(92,1)}
        64:{1,2,4}:{(36,1),(96,1)}
        65:{1,3,6,7}:{(37,1),(45,1),(93,1),(97,1),(101,1),(110,1),(203,1)}
        66:{1,3,5,6}:{(37,1),(38,1),(46,1),(94,1),(97,1),(98,1),(102,1),(108,1),(163,1)}
        67:{1,4,5}:{(38,1),(98,1),(99,1),(103,1)}
        68:{3,4,5,7}:{(39,1),(80,1),(90,1),(100,1),(103,1),(149,1),(161,1),(169,1),(171,1),(201,1),(209,1)}
        69:{3,6}:{(39,1),(41,1)}
        70:{3,5}:{(40,1),(42,1),(103,1)}
        71:{1,2,4,6,7}:{(41,1),(43,1),(45,1),(83,1),(93,1),(101,1),(104,1),(145,1),(150,1),(157,1),(162,1),(171,1)}
        72:{1,2,5,6}:{(41,1),(42,1),(44,1),(46,1),(102,1),(104,1),(146,1),(158,1)}
        73:{2,5,7}:{(43,1),(44,1),(47,1)}
        74:{2,4,5,6}:{(44,1),(48,1),(88,1),(105,1),(106,1)}
        75:{1,5,7}:{(45,1),(46,1),(47,1)}
        76:{1,4,5,6}:{(46,1),(48,1),(98,1),(107,1),(108,1)}
        77:{4,5,7}:{(47,1),(48,1),(51,1),(171,1)}
        78:{2,4,6,7}:{(49,1),(51,1),(105,1),(109,1)}
        79:{1,4,6,7}:{(50,1),(51,1),(107,1),(110,1)}
        80:{1,4,5,7}:{(52,1),(68,1),(111,1),(114,1),(174,1),(176,1),(189,1),(223,1)}
        81:{1,3,6}:{(52,1),(54,1),(69,1),(111,1)}
        82:{1,3,5}:{(53,1),(55,1),(70,1),(114,1),(117,1)}
        83:{1,2,6,7}:{(54,1),(57,1),(112,1),(115,1),(143,1),(224,1),(229,1)}
        84:{1,2,5,6}:{(54,1),(55,1),(58,1),(113,1),(115,1),(116,1),(140,1),(217,1)}
        85:{1,2,4,5}:{(55,1),(56,1),(59,1),(114,1),(116,1),(117,1),(122,1),(178,1),(182,1)}
        86:{3,4}:{(56,1),(117,1)}
        87:{2,3,5,7}:{(57,1),(58,1),(73,1),(115,1),(120,1),(137,1),(139,1),(179,1)}
        88:{2,4,6}:{(58,1),(59,1),(120,1),(121,1),(138,1)}
        89:{3,4,5}:{(59,1),(117,1),(121,1),(122,1)}
        90:{2,4,5,7}:{(60,1),(68,1),(123,1),(126,1),(178,1),(185,1),(187,1),(218,1)}
        91:{2,3,6}:{(60,1),(62,1),(69,1),(123,1)}
        92:{2,3,5}:{(61,1),(63,1),(70,1),(126,1),(129,1)}
        93:{1,2,6,7}:{(62,1),(65,1),(124,1),(127,1),(144,1),(219,1),(230,1)}
        94:{1,2,5,6}:{(62,1),(63,1),(66,1),(125,1),(127,1),(128,1),(142,1),(222,1)}
        95:{1,2,4,5}:{(63,1),(64,1),(67,1),(126,1),(128,1),(129,1),(134,1),(189,1),(193,1)}
        96:{3,4}:{(64,1),(129,1)}
        97:{1,3,5,7}:{(65,1),(66,1),(75,1),(127,1),(132,1),(137,1),(141,1),(190,1)}
        98:{1,4,6}:{(66,1),(67,1),(132,1),(133,1),(138,1)}
        99:{3,4,5}:{(67,1),(129,1),(133,1),(134,1)}
       100:{3,4,6}:{(68,1),(69,1),(111,1),(123,1),(136,1),(138,1)}
       101:{3,6,7}:{(69,1),(71,1),(137,1),(179,1),(190,1)}
       102:{3,5,6}:{(69,1),(70,1),(72,1),(137,1),(138,1)}
       103:{4,5}:{(70,1),(138,1)}
       104:{1,2,5,7}:{(71,1),(72,1),(73,1),(75,1),(137,1),(174,1),(185,1)}
       105:{2,4,5,7}:{(73,1),(74,1),(77,1),(78,1),(120,1),(139,1)}
       106:{3,5,6}:{(74,1),(121,1),(139,1),(140,1)}
       107:{1,4,5,7}:{(75,1),(76,1),(77,1),(79,1),(132,1),(141,1)}
       108:{3,5,6}:{(76,1),(133,1),(141,1),(142,1)}
       109:{3,6,7}:{(78,1),(139,1),(143,1)}
       110:{3,6,7}:{(79,1),(141,1),(144,1)}
       111:{1,4,6}:{(80,1),(81,1),(100,1),(146,1)}
       112:{1,3,6,7}:{(81,1),(83,1),(101,1),(145,1),(147,1),(211,1),(225,1)}
       113:{1,3,5,6}:{(81,1),(82,1),(84,1),(102,1),(146,1),(147,1),(148,1),(151,1),(200,1)}
       114:{1,4,5}:{(82,1),(103,1),(148,1),(149,1)}
       115:{1,2,5,7}:{(83,1),(84,1),(87,1),(147,1),(150,1),(172,1),(226,1)}
       116:{1,2,4,6}:{(84,1),(85,1),(88,1),(148,1),(150,1),(151,1),(156,1),(202,1),(205,1)}
       117:{3,5}:{(85,1),(86,1),(151,1)}
       118:{1,3,4}:{(86,1),(152,1),(154,1)}
       119:{2,3,4}:{(86,1),(153,1),(154,1)}
       120:{2,4,7}:{(87,1),(88,1),(155,1),(171,1)}
       121:{3,4,6}:{(88,1),(89,1),(106,1),(151,1),(155,1),(156,1)}
       122:{1,4,5}:{(89,1),(152,1),(156,1)}
       123:{2,4,6}:{(90,1),(91,1),(100,1),(158,1)}
       124:{2,3,6,7}:{(91,1),(93,1),(101,1),(157,1),(159,1),(204,1),(227,1)}
       125:{2,3,5,6}:{(91,1),(92,1),(94,1),(102,1),(158,1),(159,1),(160,1),(163,1),(208,1)}
       126:{2,4,5}:{(92,1),(103,1),(160,1),(161,1)}
       127:{1,2,5,7}:{(93,1),(94,1),(97,1),(159,1),(162,1),(173,1),(228,1)}
       128:{1,2,4,6}:{(94,1),(95,1),(98,1),(160,1),(162,1),(163,1),(168,1),(210,1),(213,1)}
       129:{3,5}:{(95,1),(96,1),(163,1)}
       130:{1,3,4}:{(96,1),(164,1),(166,1)}
       131:{2,3,4}:{(96,1),(165,1),(166,1)}
       132:{1,4,7}:{(97,1),(98,1),(167,1),(171,1)}
       133:{3,4,6}:{(98,1),(99,1),(108,1),(163,1),(167,1),(168,1)}
       134:{2,4,5}:{(99,1),(165,1),(168,1)}
       135:{3,4,6,7}:{(100,1),(101,1),(145,1),(157,1),(169,1),(171,1),(201,1),(209,1),(214,1),(225,1),(227,1)}
       136:{3,5,6}:{(100,1),(146,1),(158,1),(169,1),(170,1)}
       137:{3,5,7}:{(101,1),(102,1),(104,1),(171,1)}
       138:{4,6}:{(102,1),(103,1),(171,1)}
       139:{3,5,7}:{(105,1),(106,1),(109,1),(155,1),(172,1)}
       140:{1,5,6}:{(106,1),(156,1),(172,1)}
       141:{3,5,7}:{(107,1),(108,1),(110,1),(167,1),(173,1)}
       142:{2,5,6}:{(108,1),(168,1),(173,1)}
       143:{1,6,7}:{(109,1),(172,1)}
       144:{2,6,7}:{(110,1),(173,1)}
       145:{1,4,6,7}:{(111,1),(112,1),(135,1),(174,1),(176,1),(223,1),(230,1)}
       146:{1,5,6}:{(111,1),(136,1),(174,1)}
       147:{1,3,5,7}:{(112,1),(113,1),(115,1),(137,1),(174,1),(176,1),(179,1),(216,1)}
       148:{1,4,6}:{(113,1),(114,1),(138,1),(176,1),(177,1)}
       149:{3,4,5}:{(114,1),(117,1),(177,1),(178,1)}
       150:{1,2,4,7}:{(115,1),(116,1),(120,1),(176,1),(179,1),(184,1),(218,1),(219,1)}
       151:{3,6}:{(116,1),(117,1),(179,1)}
       152:{1,3,5}:{(117,1),(118,1),(122,1),(180,1),(182,1)}
       153:{2,3,5}:{(117,1),(119,1),(178,1),(181,1),(182,1)}
       154:{1,2,4}:{(118,1),(119,1),(182,1),(183,1)}
       155:{3,4,7}:{(120,1),(121,1),(139,1),(179,1),(184,1)}
       156:{1,4,6}:{(121,1),(122,1),(140,1),(180,1),(184,1)}
       157:{2,4,6,7}:{(123,1),(124,1),(135,1),(185,1),(187,1),(218,1),(229,1)}
       158:{2,5,6}:{(123,1),(136,1),(185,1)}
       159:{2,3,5,7}:{(124,1),(125,1),(127,1),(137,1),(185,1),(187,1),(190,1),(221,1)}
       160:{2,4,6}:{(125,1),(126,1),(138,1),(187,1),(188,1)}
       161:{3,4,5}:{(126,1),(129,1),(188,1),(189,1)}
       162:{1,2,4,7}:{(127,1),(128,1),(132,1),(187,1),(190,1),(195,1),(223,1),(224,1)}
       163:{3,6}:{(128,1),(129,1),(190,1)}
       164:{1,3,5}:{(129,1),(130,1),(189,1),(191,1),(193,1)}
       165:{2,3,5}:{(129,1),(131,1),(134,1),(192,1),(193,1)}
       166:{1,2,4}:{(130,1),(131,1),(193,1),(194,1)}
       167:{3,4,7}:{(132,1),(133,1),(141,1),(190,1),(195,1)}
       168:{2,4,6}:{(133,1),(134,1),(142,1),(192,1),(195,1)}
       169:{3,5,7}:{(135,1),(136,1),(174,1),(185,1),(197,1)}
       170:{4,5,6}:{(136,1),(138,1),(197,1)}
       171:{4,7}:{(137,1),(138,1)}
       172:{1,5,7}:{(139,1),(140,1),(143,1),(184,1)}
       173:{2,5,7}:{(141,1),(142,1),(144,1),(195,1)}
       174:{1,5,7}:{(145,1),(146,1),(169,1)}
       175:{1,4,5,6}:{(146,1),(148,1),(170,1),(199,1),(200,1)}
       176:{1,4,7}:{(147,1),(148,1),(171,1),(201,1)}
       177:{3,4,6}:{(148,1),(149,1),(151,1),(200,1),(201,1),(202,1)}
       178:{2,4,5}:{(149,1),(153,1),(202,1)}
       179:{3,7}:{(150,1),(151,1)}
       180:{1,3,6}:{(151,1),(152,1),(156,1),(203,1),(205,1)}
       181:{2,3,6}:{(151,1),(153,1),(202,1),(204,1),(205,1)}
       182:{1,2,5}:{(152,1),(153,1),(154,1),(205,1)}
       183:{1,2,3}:{(154,1)}
       184:{1,4,7}:{(155,1),(156,1),(172,1),(203,1)}
       185:{2,5,7}:{(157,1),(158,1),(169,1)}
       186:{2,4,5,6}:{(158,1),(160,1),(170,1),(207,1),(208,1)}
       187:{2,4,7}:{(159,1),(160,1),(171,1),(209,1)}
       188:{3,4,6}:{(160,1),(161,1),(163,1),(208,1),(209,1),(210,1)}
       189:{1,4,5}:{(161,1),(164,1),(210,1)}
       190:{3,7}:{(162,1),(163,1)}
       191:{1,3,6}:{(163,1),(164,1),(210,1),(211,1),(213,1)}
       192:{2,3,6}:{(163,1),(165,1),(168,1),(212,1),(213,1)}
       193:{1,2,5}:{(164,1),(165,1),(166,1),(213,1)}
       194:{1,2,3}:{(166,1)}
       195:{2,4,7}:{(167,1),(168,1),(173,1),(212,1)}
       196:{3,5,6,7}:{(169,1),(198,1),(206,1),(214,1),(225,1),(227,1)}
       197:{4,5,7}:{(169,1),(170,1),(171,1),(214,1)}
       198:{1,5,6,7}:{(174,1),(196,1),(215,1),(230,1)}
       199:{1,4,5,7}:{(174,1),(175,1),(176,1),(197,1),(215,1),(216,1)}
       200:{3,5,6}:{(175,1),(177,1),(216,1),(217,1)}
       201:{3,4,7}:{(176,1),(177,1),(179,1),(216,1),(218,1)}
       202:{2,4,6}:{(177,1),(178,1),(181,1),(217,1),(218,1)}
       203:{1,3,7}:{(179,1),(180,1),(184,1),(219,1)}
       204:{2,3,7}:{(179,1),(181,1),(218,1),(219,1)}
       205:{1,2,6}:{(180,1),(181,1),(182,1),(219,1)}
       206:{2,5,6,7}:{(185,1),(196,1),(220,1),(229,1)}
       207:{2,4,5,7}:{(185,1),(186,1),(187,1),(197,1),(220,1),(221,1)}
       208:{3,5,6}:{(186,1),(188,1),(221,1),(222,1)}
       209:{3,4,7}:{(187,1),(188,1),(190,1),(221,1),(223,1)}
       210:{1,4,6}:{(188,1),(189,1),(191,1),(222,1),(223,1)}
       211:{1,3,7}:{(190,1),(191,1),(223,1),(224,1)}
       212:{2,3,7}:{(190,1),(192,1),(195,1),(224,1)}
       213:{1,2,6}:{(191,1),(192,1),(193,1),(224,1)}
       214:{4,6,7}:{(196,1),(197,1)}
       215:{1,4,6,7}:{(198,1),(199,1),(214,1),(225,1)}
       216:{3,5,7}:{(199,1),(200,1),(201,1),(225,1),(226,1)}
       217:{2,5,6}:{(200,1),(202,1),(226,1)}
       218:{2,4,7}:{(201,1),(202,1),(204,1),(226,1)}
       219:{1,2,7}:{(203,1),(204,1),(205,1)}
       220:{2,4,6,7}:{(206,1),(207,1),(214,1),(227,1)}
       221:{3,5,7}:{(207,1),(208,1),(209,1),(227,1),(228,1)}
       222:{1,5,6}:{(208,1),(210,1),(228,1)}
       223:{1,4,7}:{(209,1),(210,1),(211,1),(228,1)}
       224:{1,2,7}:{(211,1),(212,1),(213,1)}
       225:{3,6,7}:{(215,1),(216,1),(229,1)}
       226:{2,5,7}:{(216,1),(217,1),(218,1),(229,1)}
       227:{3,6,7}:{(220,1),(221,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(223,1),(230,1)}
       229:{2,6,7}:{(225,1),(226,1)}
       230:{1,6,7}:{(227,1),(228,1)}

1380 :   0:{1,2,3,6,7}:{(1,1),(2,1),(29,1),(63,1),(64,1),(65,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(17,1),(78,1),(79,1)}
         2:{1,2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(18,1),(47,1),(48,1),(71,1),(72,1)}
         3:{1,2,3,5,6}:{(2,1),(7,1),(9,1),(22,1),(29,1),(53,1),(54,1),(55,1),(56,1),(65,1)}
         4:{3,4,6,7}:{(1,1),(8,1),(11,1),(26,1),(29,1)}
         5:{1,2,5,7}:{(1,1),(8,1),(9,1),(91,1),(92,1)}
         6:{1,2,4,7}:{(2,1),(7,1),(11,1),(85,1),(86,1)}
         7:{1,2,4,6}:{(3,1),(6,1),(12,1),(13,1),(68,1),(69,1)}
         8:{3,5,7}:{(4,1),(5,1),(14,1),(15,1)}
         9:{1,2,5,6}:{(5,1),(14,1),(17,1),(76,1),(77,1)}
        10:{1,2,4,5,7}:{(5,1),(6,1),(12,1),(15,1),(17,1),(18,1),(42,1),(43,1),(47,1)}
        11:{3,4,7}:{(6,1),(13,1),(18,1)}
        12:{1,2,4,5}:{(7,1),(22,1),(50,1),(51,1),(55,1)}
        13:{3,4,6}:{(7,1),(11,1),(22,1),(29,1)}
        14:{3,5,6}:{(8,1),(9,1),(26,1),(29,1)}
        15:{4,5,7}:{(8,1),(26,1)}
        16:{1,2,5,6,7}:{(9,1),(25,1),(28,1),(91,1),(92,1)}
        17:{1,2,4,6}:{(9,1),(10,1),(26,1),(29,1),(60,1),(61,1),(65,1)}
        18:{3,5,7}:{(10,1),(11,1),(22,1),(29,1)}
        19:{1,3,4,7}:{(11,1),(23,1),(30,1),(32,1),(85,1),(96,1),(106,1)}
        20:{2,3,4,7}:{(11,1),(24,1),(31,1),(32,1),(86,1),(96,1),(106,1)}
        21:{1,2,4,5,6}:{(12,1),(17,1),(34,1),(35,1),(39,1),(68,1),(69,1),(73,1),(76,1),(77,1)}
        22:{3,5}:{(12,1),(13,1)}
        23:{1,3,4,6}:{(13,1),(19,1),(36,1),(38,1),(45,1),(68,1),(99,1),(100,1),(104,1)}
        24:{2,3,4,6}:{(13,1),(20,1),(37,1),(38,1),(46,1),(69,1),(99,1),(100,1),(104,1)}
        25:{3,5,6,7}:{(14,1),(16,1),(40,1),(44,1),(75,1)}
        26:{4,6}:{(14,1),(15,1)}
        27:{3,4,5,7}:{(15,1),(18,1),(33,1),(41,1),(42,1),(43,1),(67,1),(75,1),(81,1),(110,1),(111,1)}
        28:{1,2,4,6,7}:{(16,1),(17,1),(34,1),(40,1),(44,1),(78,1),(79,1),(82,1)}
        29:{3,6}:{(17,1),(18,1)}
        30:{1,3,5,7}:{(18,1),(19,1),(36,1),(42,1),(45,1),(47,1),(81,1)}
        31:{2,3,5,7}:{(18,1),(20,1),(37,1),(43,1),(46,1),(47,1),(81,1)}
        32:{1,2,4,7}:{(19,1),(20,1),(38,1),(47,1),(48,1)}
        33:{3,4,5}:{(22,1),(49,1),(50,1),(51,1),(88,1)}
        34:{1,2,4,5,7}:{(21,1),(28,1),(52,1),(57,1),(85,1),(86,1),(89,1),(91,1),(92,1)}
        35:{3,5,6}:{(21,1),(22,1),(29,1),(49,1),(52,1)}
        36:{1,3,5}:{(22,1),(23,1),(50,1),(55,1),(88,1),(109,1)}
        37:{2,3,5}:{(22,1),(24,1),(51,1),(55,1),(88,1),(109,1)}
        38:{1,2,4,6}:{(23,1),(24,1),(32,1),(55,1),(56,1),(65,1),(90,1)}
        39:{4,5,6}:{(26,1),(57,1),(58,1),(108,1)}
        40:{4,6,7}:{(25,1),(26,1),(57,1)}
        41:{3,4,6}:{(26,1),(27,1),(29,1),(58,1),(60,1),(61,1),(95,1),(108,1)}
        42:{1,4,5,7}:{(27,1),(30,1),(50,1),(60,1),(85,1),(91,1)}
        43:{2,4,5,7}:{(27,1),(31,1),(51,1),(61,1),(86,1),(92,1)}
        44:{3,6,7}:{(28,1),(29,1),(52,1)}
        45:{1,3,6}:{(29,1),(30,1),(60,1),(65,1),(95,1)}
        46:{2,3,6}:{(29,1),(31,1),(61,1),(65,1),(95,1)}
        47:{1,2,5,7}:{(30,1),(31,1),(32,1),(55,1),(65,1)}
        48:{1,2,3,7}:{(32,1),(56,1),(106,1)}
        49:{3,4,6}:{(33,1),(35,1),(67,1),(68,1),(69,1),(99,1)}
        50:{1,4,5}:{(33,1),(36,1),(68,1),(111,1)}
        51:{2,4,5}:{(33,1),(37,1),(69,1),(111,1)}
        52:{3,5,7}:{(34,1),(35,1),(44,1),(67,1)}
        53:{1,3,5,6}:{(35,1),(36,1),(45,1),(68,1),(71,1),(73,1),(76,1),(99,1),(102,1)}
        54:{2,3,5,6}:{(35,1),(37,1),(46,1),(69,1),(72,1),(73,1),(77,1),(99,1),(102,1)}
        55:{1,2,5}:{(36,1),(37,1),(38,1)}
        56:{1,2,3,6}:{(38,1),(48,1),(74,1),(99,1)}
        57:{4,5,7}:{(39,1),(40,1),(75,1),(110,1)}
        58:{3,5,6}:{(39,1),(41,1),(75,1),(76,1),(77,1)}
        59:{3,4,6,7}:{(40,1),(41,1),(44,1),(67,1),(75,1),(78,1),(79,1),(103,1),(110,1)}
        60:{1,4,6}:{(41,1),(42,1),(45,1),(76,1)}
        61:{2,4,6}:{(41,1),(43,1),(46,1),(77,1)}
        62:{1,2,4,5,7}:{(42,1),(43,1),(47,1),(70,1),(80,1),(81,1),(84,1),(98,1),(101,1),(105,1),(110,1),(111,1)}
        63:{1,3,6,7}:{(44,1),(45,1),(71,1),(78,1),(82,1),(103,1)}
        64:{2,3,6,7}:{(44,1),(46,1),(72,1),(79,1),(82,1),(103,1)}
        65:{1,2,6}:{(45,1),(46,1),(47,1)}
        66:{1,2,3,5,7}:{(47,1),(48,1),(74,1),(81,1),(83,1),(84,1),(105,1)}
        67:{3,4,7}:{(49,1),(52,1),(85,1),(86,1),(106,1)}
        68:{1,4,6}:{(49,1),(50,1),(53,1),(85,1),(108,1)}
        69:{2,4,6}:{(49,1),(51,1),(54,1),(86,1),(108,1)}
        70:{1,2,4,5}:{(50,1),(51,1),(55,1),(87,1),(88,1),(90,1)}
        71:{1,3,5,7}:{(52,1),(53,1),(63,1),(85,1),(89,1),(91,1),(106,1),(107,1)}
        72:{2,3,5,7}:{(52,1),(54,1),(64,1),(86,1),(89,1),(92,1),(106,1),(107,1)}
        73:{1,2,5,6}:{(53,1),(54,1),(55,1),(65,1),(87,1),(89,1)}
        74:{1,2,3,5}:{(55,1),(56,1),(88,1),(90,1)}
        75:{3,5,7}:{(57,1),(58,1),(59,1),(91,1),(92,1)}
        76:{1,5,6}:{(58,1),(60,1),(91,1)}
        77:{2,5,6}:{(58,1),(61,1),(92,1)}
        78:{1,4,6,7}:{(59,1),(60,1),(63,1),(85,1),(91,1)}
        79:{2,4,6,7}:{(59,1),(61,1),(64,1),(86,1),(92,1)}
        80:{1,2,4,6}:{(60,1),(61,1),(62,1),(65,1),(93,1),(95,1),(108,1)}
        81:{3,5,7}:{(62,1),(88,1),(95,1),(96,1),(106,1),(109,1)}
        82:{1,2,6,7}:{(63,1),(64,1),(65,1),(89,1)}
        83:{1,2,3,6}:{(65,1),(66,1),(95,1),(97,1)}
        84:{1,2,4,7}:{(66,1),(90,1),(96,1),(97,1)}
        85:{1,4,7}:{(67,1),(68,1),(71,1),(110,1)}
        86:{2,4,7}:{(67,1),(69,1),(72,1),(110,1)}
        87:{1,2,4,6}:{(68,1),(69,1),(70,1),(73,1),(98,1),(99,1)}
        88:{3,5}:{(70,1),(99,1),(100,1)}
        89:{1,2,5,7}:{(71,1),(72,1),(73,1),(82,1),(98,1)}
        90:{1,2,4}:{(74,1),(100,1)}
        91:{1,5,7}:{(75,1),(76,1),(78,1)}
        92:{2,5,7}:{(75,1),(77,1),(79,1)}
        93:{1,2,5,6}:{(76,1),(77,1),(80,1),(101,1),(102,1),(105,1)}
        94:{1,2,4,6,7}:{(78,1),(79,1),(80,1),(82,1),(98,1),(101,1),(103,1),(110,1)}
        95:{3,6}:{(80,1),(81,1)}
        96:{3,4,7}:{(81,1),(84,1),(100,1),(104,1),(110,1)}
        97:{1,2,4,6}:{(83,1),(84,1),(104,1),(105,1)}
        98:{1,2,4,7}:{(85,1),(86,1),(87,1),(89,1),(106,1)}
        99:{3,6}:{(87,1),(88,1),(106,1)}
       100:{3,4}:{(88,1),(90,1)}
       101:{1,2,5,7}:{(91,1),(92,1),(93,1),(94,1),(107,1)}
       102:{3,5,6}:{(93,1),(95,1),(107,1),(108,1),(109,1)}
       103:{3,6,7}:{(94,1),(95,1),(106,1),(107,1)}
       104:{3,4,6}:{(95,1),(96,1),(97,1),(108,1),(109,1)}
       105:{1,2,5}:{(97,1),(109,1)}
       106:{3,7}:{(98,1),(99,1)}
       107:{3,5,7}:{(101,1),(102,1),(103,1),(110,1)}
       108:{4,6}:{(102,1),(110,1),(111,1)}
       109:{3,5}:{(104,1),(105,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1381 :   0:{1,2,3,6}:{(2,1),(4,1),(6,1),(58,1),(61,1),(64,1)}
         1:{4,5,6}:{(7,1),(8,1),(69,1),(89,1)}
         2:{1,2,3,5}:{(0,1),(9,1),(11,1),(13,1),(20,1),(41,1),(44,1),(46,1)}
         3:{3,4,5}:{(14,1),(15,1),(16,1),(46,1),(54,1)}
         4:{1,2,3,7}:{(0,1),(17,1),(73,1),(76,1),(78,1)}
         5:{5,6,7}:{(18,1),(97,1)}
         6:{1,2,4,6}:{(0,1),(13,1),(17,1),(19,1),(20,1),(51,1)}
         7:{3,5,6}:{(1,1),(16,1),(21,1),(22,1),(23,1)}
         8:{4,5,7}:{(1,1),(18,1),(23,1),(82,1),(97,1)}
         9:{1,2,3}:{(24,1)}
        10:{2,3,4}:{(24,1),(25,1),(28,1)}
        11:{1,2,3}:{(26,1)}
        12:{1,3,4}:{(26,1),(27,1),(28,1)}
        13:{1,2,4}:{(2,1),(28,1)}
        14:{2,4,5}:{(3,1),(25,1),(30,1)}
        15:{1,4,5}:{(3,1),(27,1),(31,1)}
        16:{3,4,6}:{(3,1),(7,1),(30,1),(31,1),(32,1),(64,1),(69,1)}
        17:{1,2,4,7}:{(4,1),(6,1),(33,1),(34,1)}
        18:{4,6,7}:{(5,1),(8,1),(35,1)}
        19:{3,4,6}:{(6,1),(28,1),(33,1),(36,1),(64,1),(67,1),(69,1)}
        20:{1,2,5}:{(6,1),(36,1)}
        21:{2,5,6}:{(7,1),(30,1),(38,1)}
        22:{1,5,6}:{(7,1),(31,1),(39,1)}
        23:{3,5,7}:{(7,1),(8,1),(32,1),(35,1),(38,1),(39,1)}
        24:{1,2,4}:{(9,1),(10,1),(40,1),(41,1)}
        25:{2,3,5}:{(10,1),(14,1),(41,1),(42,1),(46,1)}
        26:{1,2,4}:{(11,1),(12,1),(43,1),(44,1)}
        27:{1,3,5}:{(12,1),(15,1),(44,1),(45,1),(46,1)}
        28:{3,4}:{(13,1),(46,1)}
        29:{1,2,4,5}:{(13,1),(14,1),(15,1),(20,1),(41,1),(44,1),(46,1),(47,1),(54,1),(71,1),(74,1)}
        30:{2,4,6}:{(14,1),(16,1),(21,1),(42,1),(48,1)}
        31:{1,4,6}:{(15,1),(16,1),(22,1),(45,1),(49,1)}
        32:{3,4,7}:{(16,1),(23,1),(48,1),(49,1),(78,1),(82,1)}
        33:{3,4,7}:{(17,1),(19,1),(50,1),(78,1),(82,1)}
        34:{1,2,5,7}:{(17,1),(20,1),(50,1),(51,1)}
        35:{3,6,7}:{(18,1),(23,1),(52,1),(53,1)}
        36:{3,5}:{(19,1),(20,1),(54,1)}
        37:{1,2,5,6}:{(20,1),(21,1),(22,1),(47,1),(51,1),(55,1),(56,1),(92,1),(94,1)}
        38:{2,5,7}:{(21,1),(23,1),(48,1),(52,1)}
        39:{1,5,7}:{(22,1),(23,1),(49,1),(53,1)}
        40:{1,3,4}:{(24,1),(28,1),(57,1)}
        41:{1,2,5}:{(24,1),(25,1),(57,1),(58,1)}
        42:{2,3,6}:{(25,1),(30,1),(58,1),(59,1),(64,1)}
        43:{2,3,4}:{(26,1),(28,1),(60,1)}
        44:{1,2,5}:{(26,1),(27,1),(60,1),(61,1)}
        45:{1,3,6}:{(27,1),(31,1),(61,1),(62,1),(64,1)}
        46:{3,5}:{(28,1),(29,1),(64,1)}
        47:{1,2,4,6}:{(29,1),(30,1),(31,1),(37,1),(58,1),(61,1),(64,1),(65,1),(69,1),(83,1),(85,1)}
        48:{2,4,7}:{(30,1),(32,1),(38,1),(59,1)}
        49:{1,4,7}:{(31,1),(32,1),(39,1),(62,1)}
        50:{3,5,7}:{(33,1),(34,1),(36,1),(66,1),(67,1)}
        51:{1,2,6}:{(34,1),(67,1)}
        52:{2,6,7}:{(35,1),(38,1)}
        53:{1,6,7}:{(35,1),(39,1)}
        54:{4,5}:{(36,1),(69,1)}
        55:{3,5,6}:{(36,1),(37,1),(64,1),(67,1),(69,1),(70,1),(89,1)}
        56:{1,2,5,7}:{(37,1),(38,1),(39,1),(65,1),(68,1),(70,1),(99,1),(100,1)}
        57:{1,3,5}:{(40,1),(41,1),(46,1),(71,1),(72,1)}
        58:{1,2,6}:{(41,1),(42,1),(72,1),(73,1)}
        59:{2,3,7}:{(42,1),(48,1),(73,1),(78,1)}
        60:{2,3,5}:{(43,1),(44,1),(46,1),(74,1),(75,1)}
        61:{1,2,6}:{(44,1),(45,1),(75,1),(76,1)}
        62:{1,3,7}:{(45,1),(49,1),(76,1),(78,1)}
        63:{3,4,5}:{(46,1),(54,1),(71,1),(74,1),(77,1)}
        64:{3,6}:{(46,1),(47,1),(78,1)}
        65:{1,2,4,7}:{(47,1),(48,1),(49,1),(56,1),(73,1),(76,1),(78,1),(82,1),(93,1),(95,1)}
        66:{4,5,7}:{(50,1),(54,1),(79,1),(82,1),(97,1)}
        67:{3,6}:{(50,1),(51,1),(79,1)}
        68:{1,2,6,7}:{(51,1),(52,1),(53,1),(56,1),(80,1),(103,1),(104,1)}
        69:{4,6}:{(54,1),(55,1),(82,1)}
        70:{3,5,7}:{(55,1),(56,1),(78,1),(80,1),(82,1),(97,1)}
        71:{1,4,5}:{(57,1),(63,1),(83,1)}
        72:{1,3,6}:{(57,1),(58,1),(64,1),(83,1),(84,1)}
        73:{1,2,7}:{(58,1),(59,1),(84,1)}
        74:{2,4,5}:{(60,1),(63,1),(85,1)}
        75:{2,3,6}:{(60,1),(61,1),(64,1),(85,1),(86,1)}
        76:{1,2,7}:{(61,1),(62,1),(86,1)}
        77:{3,4,6}:{(63,1),(64,1),(69,1),(83,1),(85,1),(87,1),(88,1)}
        78:{3,7}:{(64,1),(65,1)}
        79:{4,6}:{(66,1),(67,1),(89,1)}
        80:{3,6,7}:{(67,1),(68,1),(70,1),(90,1)}
        81:{4,5,6}:{(69,1),(87,1),(89,1),(91,1)}
        82:{4,7}:{(69,1),(70,1)}
        83:{1,4,6}:{(71,1),(72,1),(77,1),(92,1),(93,1)}
        84:{1,3,7}:{(72,1),(73,1),(78,1),(93,1)}
        85:{2,4,6}:{(74,1),(75,1),(77,1),(94,1),(95,1)}
        86:{2,3,7}:{(75,1),(76,1),(78,1),(95,1)}
        87:{3,5,6}:{(77,1),(81,1),(92,1),(94,1),(96,1)}
        88:{3,4,7}:{(77,1),(78,1),(82,1),(93,1),(95,1),(96,1)}
        89:{5,6}:{(79,1),(97,1)}
        90:{4,6,7}:{(79,1),(80,1),(82,1),(97,1)}
        91:{4,5,7}:{(81,1),(82,1),(96,1),(97,1),(98,1)}
        92:{1,5,6}:{(83,1),(87,1),(99,1)}
        93:{1,4,7}:{(83,1),(84,1),(88,1),(99,1)}
        94:{2,5,6}:{(85,1),(87,1),(100,1)}
        95:{2,4,7}:{(85,1),(86,1),(88,1),(100,1)}
        96:{3,5,7}:{(87,1),(88,1),(91,1),(99,1),(100,1),(101,1)}
        97:{5,7}:{(89,1),(90,1)}
        98:{4,6,7}:{(91,1),(101,1),(102,1)}
        99:{1,5,7}:{(92,1),(93,1),(96,1),(103,1)}
       100:{2,5,7}:{(94,1),(95,1),(96,1),(104,1)}
       101:{3,6,7}:{(96,1),(98,1),(103,1),(104,1)}
       102:{5,6,7}:{(97,1),(98,1)}
       103:{1,6,7}:{(99,1),(101,1)}
       104:{2,6,7}:{(100,1),(101,1)}

1382 :   0:{1,2,3,7}:{(2,1),(4,1),(77,1),(80,1),(82,1)}
         1:{5,6,7}:{(5,1),(85,1)}
         2:{1,2,3,6}:{(0,1),(6,1),(8,1),(63,1),(66,1),(69,1)}
         3:{4,5,6}:{(9,1),(10,1),(71,1),(73,1)}
         4:{1,2,4,7}:{(0,1),(8,1),(11,1),(12,1)}
         5:{4,6,7}:{(1,1),(10,1),(13,1)}
         6:{1,2,3,5}:{(2,1),(14,1),(16,1),(18,1),(23,1),(48,1),(51,1),(53,1)}
         7:{3,4,5}:{(19,1),(20,1),(21,1),(53,1),(57,1)}
         8:{1,2,4,6}:{(2,1),(4,1),(18,1),(22,1),(23,1),(28,1)}
         9:{3,5,6}:{(3,1),(21,1),(24,1),(25,1),(26,1)}
        10:{4,5,7}:{(3,1),(5,1),(26,1),(84,1),(85,1)}
        11:{3,4,7}:{(4,1),(22,1),(27,1),(82,1),(84,1)}
        12:{1,2,5,7}:{(4,1),(23,1),(27,1),(28,1)}
        13:{3,6,7}:{(5,1),(26,1),(29,1),(30,1)}
        14:{1,2,3}:{(31,1)}
        15:{2,3,4}:{(31,1),(32,1),(35,1)}
        16:{1,2,3}:{(33,1)}
        17:{1,3,4}:{(33,1),(34,1),(35,1)}
        18:{1,2,4}:{(6,1),(35,1)}
        19:{2,4,5}:{(7,1),(32,1),(37,1)}
        20:{1,4,5}:{(7,1),(34,1),(38,1)}
        21:{3,4,6}:{(7,1),(9,1),(37,1),(38,1),(39,1),(69,1),(71,1)}
        22:{3,4,6}:{(8,1),(11,1),(35,1),(40,1),(45,1),(69,1),(71,1)}
        23:{1,2,5}:{(8,1),(40,1)}
        24:{2,5,6}:{(9,1),(37,1),(42,1)}
        25:{1,5,6}:{(9,1),(38,1),(43,1)}
        26:{3,5,7}:{(9,1),(10,1),(13,1),(39,1),(42,1),(43,1)}
        27:{3,5,7}:{(11,1),(12,1),(40,1),(44,1),(45,1)}
        28:{1,2,6}:{(12,1),(45,1)}
        29:{2,6,7}:{(13,1),(42,1)}
        30:{1,6,7}:{(13,1),(43,1)}
        31:{1,2,4}:{(14,1),(15,1),(47,1),(48,1)}
        32:{2,3,5}:{(15,1),(19,1),(48,1),(49,1),(53,1)}
        33:{1,2,4}:{(16,1),(17,1),(50,1),(51,1)}
        34:{1,3,5}:{(17,1),(20,1),(51,1),(52,1),(53,1)}
        35:{3,4}:{(18,1),(53,1)}
        36:{1,2,4,5}:{(18,1),(19,1),(20,1),(23,1),(48,1),(51,1),(53,1),(54,1),(57,1),(75,1),(78,1)}
        37:{2,4,6}:{(19,1),(21,1),(24,1),(49,1),(55,1)}
        38:{1,4,6}:{(20,1),(21,1),(25,1),(52,1),(56,1)}
        39:{3,4,7}:{(21,1),(26,1),(55,1),(56,1),(82,1),(84,1)}
        40:{3,5}:{(22,1),(23,1),(57,1)}
        41:{1,2,5,6}:{(23,1),(24,1),(25,1),(28,1),(54,1),(58,1),(59,1),(94,1),(96,1)}
        42:{2,5,7}:{(24,1),(26,1),(29,1),(55,1)}
        43:{1,5,7}:{(25,1),(26,1),(30,1),(56,1)}
        44:{4,5,7}:{(27,1),(57,1),(60,1),(84,1),(85,1)}
        45:{3,6}:{(27,1),(28,1),(60,1)}
        46:{1,2,6,7}:{(28,1),(29,1),(30,1),(59,1),(61,1),(103,1),(104,1)}
        47:{1,3,4}:{(31,1),(35,1),(62,1)}
        48:{1,2,5}:{(31,1),(32,1),(62,1),(63,1)}
        49:{2,3,6}:{(32,1),(37,1),(63,1),(64,1),(69,1)}
        50:{2,3,4}:{(33,1),(35,1),(65,1)}
        51:{1,2,5}:{(33,1),(34,1),(65,1),(66,1)}
        52:{1,3,6}:{(34,1),(38,1),(66,1),(67,1),(69,1)}
        53:{3,5}:{(35,1),(36,1),(69,1)}
        54:{1,2,4,6}:{(36,1),(37,1),(38,1),(41,1),(63,1),(66,1),(69,1),(70,1),(71,1),(86,1),(88,1)}
        55:{2,4,7}:{(37,1),(39,1),(42,1),(64,1)}
        56:{1,4,7}:{(38,1),(39,1),(43,1),(67,1)}
        57:{4,5}:{(40,1),(71,1)}
        58:{3,5,6}:{(40,1),(41,1),(45,1),(69,1),(71,1),(72,1),(73,1)}
        59:{1,2,5,7}:{(41,1),(42,1),(43,1),(46,1),(70,1),(72,1),(100,1),(101,1)}
        60:{4,6}:{(44,1),(45,1),(73,1)}
        61:{3,6,7}:{(45,1),(46,1),(72,1),(74,1)}
        62:{1,3,5}:{(47,1),(48,1),(53,1),(75,1),(76,1)}
        63:{1,2,6}:{(48,1),(49,1),(76,1),(77,1)}
        64:{2,3,7}:{(49,1),(55,1),(77,1),(82,1)}
        65:{2,3,5}:{(50,1),(51,1),(53,1),(78,1),(79,1)}
        66:{1,2,6}:{(51,1),(52,1),(79,1),(80,1)}
        67:{1,3,7}:{(52,1),(56,1),(80,1),(82,1)}
        68:{3,4,5}:{(53,1),(57,1),(75,1),(78,1),(81,1)}
        69:{3,6}:{(53,1),(54,1),(82,1)}
        70:{1,2,4,7}:{(54,1),(55,1),(56,1),(59,1),(77,1),(80,1),(82,1),(84,1),(95,1),(97,1)}
        71:{4,6}:{(57,1),(58,1),(84,1)}
        72:{3,5,7}:{(58,1),(59,1),(61,1),(82,1),(84,1),(85,1)}
        73:{5,6}:{(60,1),(85,1)}
        74:{4,6,7}:{(60,1),(61,1),(84,1),(85,1)}
        75:{1,4,5}:{(62,1),(68,1),(86,1)}
        76:{1,3,6}:{(62,1),(63,1),(69,1),(86,1),(87,1)}
        77:{1,2,7}:{(63,1),(64,1),(87,1)}
        78:{2,4,5}:{(65,1),(68,1),(88,1)}
        79:{2,3,6}:{(65,1),(66,1),(69,1),(88,1),(89,1)}
        80:{1,2,7}:{(66,1),(67,1),(89,1)}
        81:{3,4,6}:{(68,1),(69,1),(71,1),(86,1),(88,1),(90,1),(91,1)}
        82:{3,7}:{(69,1),(70,1)}
        83:{4,5,6}:{(71,1),(73,1),(90,1),(92,1)}
        84:{4,7}:{(71,1),(72,1)}
        85:{5,7}:{(73,1),(74,1)}
        86:{1,4,6}:{(75,1),(76,1),(81,1),(94,1),(95,1)}
        87:{1,3,7}:{(76,1),(77,1),(82,1),(95,1)}
        88:{2,4,6}:{(78,1),(79,1),(81,1),(96,1),(97,1)}
        89:{2,3,7}:{(79,1),(80,1),(82,1),(97,1)}
        90:{3,5,6}:{(81,1),(83,1),(94,1),(96,1),(98,1)}
        91:{3,4,7}:{(81,1),(82,1),(84,1),(95,1),(97,1),(98,1)}
        92:{4,5,7}:{(83,1),(84,1),(85,1),(98,1),(99,1)}
        93:{5,6,7}:{(85,1),(99,1)}
        94:{1,5,6}:{(86,1),(90,1),(100,1)}
        95:{1,4,7}:{(86,1),(87,1),(91,1),(100,1)}
        96:{2,5,6}:{(88,1),(90,1),(101,1)}
        97:{2,4,7}:{(88,1),(89,1),(91,1),(101,1)}
        98:{3,5,7}:{(90,1),(91,1),(92,1),(100,1),(101,1),(102,1)}
        99:{4,6,7}:{(92,1),(93,1),(102,1)}
       100:{1,5,7}:{(94,1),(95,1),(98,1),(103,1)}
       101:{2,5,7}:{(96,1),(97,1),(98,1),(104,1)}
       102:{3,6,7}:{(98,1),(99,1),(103,1),(104,1)}
       103:{1,6,7}:{(100,1),(102,1)}
       104:{2,6,7}:{(101,1),(102,1)}

1383 :   0:{1,3,4,5}:{(2,1),(3,1),(58,1)}
         1:{2,3,4,5}:{(2,1),(4,1),(58,1)}
         2:{1,2,4,5}:{(0,1),(1,1),(5,1),(6,1)}
         3:{1,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(45,1)}
         4:{2,3,4,6}:{(1,1),(6,1),(9,1),(10,1),(45,1)}
         5:{1,2,3,5}:{(2,1),(11,1),(12,1)}
         6:{1,2,4,6}:{(2,1),(3,1),(4,1),(12,1),(13,1),(14,1)}
         7:{1,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(34,1)}
         8:{1,3,4,7}:{(3,1),(14,1),(16,1),(63,1)}
         9:{2,3,5,6}:{(4,1),(13,1),(17,1),(18,1),(34,1)}
        10:{2,3,4,7}:{(4,1),(14,1),(18,1),(63,1)}
        11:{1,2,3,4}:{(5,1)}
        12:{1,2,3,6}:{(5,1),(6,1),(21,1)}
        13:{1,2,5,6}:{(6,1),(7,1),(9,1),(23,1)}
        14:{1,2,4,7}:{(6,1),(8,1),(10,1),(21,1),(23,1)}
        15:{1,4,5,6}:{(7,1),(24,1),(25,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(23,1),(25,1),(26,1),(50,1)}
        17:{2,4,5,6}:{(9,1),(27,1),(28,1)}
        18:{2,3,5,7}:{(9,1),(10,1),(23,1),(28,1),(29,1),(50,1)}
        19:{1,2,3,4,6}:{(11,1),(12,1),(30,1),(31,1),(32,1),(60,1),(94,1),(103,1)}
        20:{1,2,3,5,6}:{(12,1),(13,1),(30,1),(32,1),(33,1),(34,1),(60,1),(65,1),(93,1),(94,1)}
        21:{1,2,3,7}:{(12,1),(14,1)}
        22:{1,2,4,5,6}:{(13,1),(15,1),(17,1),(32,1),(34,1),(35,1),(37,1),(40,1),(65,1),(93,1),(104,1)}
        23:{1,2,5,7}:{(13,1),(14,1),(16,1),(18,1),(36,1)}
        24:{3,4,5,6}:{(15,1),(34,1),(37,1),(38,1),(104,1)}
        25:{1,4,5,7}:{(15,1),(16,1),(38,1),(39,1)}
        26:{1,3,6,7}:{(16,1),(36,1),(39,1),(68,1)}
        27:{3,4,5,6}:{(17,1),(34,1),(40,1),(41,1),(104,1)}
        28:{2,4,5,7}:{(17,1),(18,1),(41,1),(42,1)}
        29:{2,3,6,7}:{(18,1),(36,1),(42,1),(68,1)}
        30:{1,2,3,5}:{(19,1),(43,1)}
        31:{1,2,3,4,7}:{(19,1),(21,1),(44,1),(46,1),(101,1)}
        32:{1,2,4,6}:{(20,1),(43,1),(45,1),(46,1)}
        33:{1,2,3,5,7}:{(20,1),(21,1),(23,1),(46,1),(47,1),(50,1),(82,1),(83,1),(101,1)}
        34:{3,5,6}:{(22,1),(45,1),(50,1)}
        35:{1,2,4,5,7}:{(22,1),(23,1),(25,1),(28,1),(46,1),(50,1),(51,1),(52,1),(55,1),(82,1),(83,1),(102,1)}
        36:{1,2,6,7}:{(23,1),(26,1),(29,1)}
        37:{2,4,5,6}:{(24,1),(49,1),(52,1)}
        38:{3,4,5,7}:{(24,1),(25,1),(50,1),(52,1),(53,1),(102,1)}
        39:{1,4,6,7}:{(25,1),(26,1),(53,1),(54,1)}
        40:{1,4,5,6}:{(27,1),(48,1),(55,1)}
        41:{3,4,5,7}:{(27,1),(28,1),(50,1),(55,1),(56,1),(102,1)}
        42:{2,4,6,7}:{(28,1),(29,1),(56,1),(57,1)}
        43:{1,2,4,5}:{(30,1),(32,1),(58,1)}
        44:{1,2,3,5,7}:{(30,1),(31,1),(59,1),(60,1)}
        45:{3,4,6}:{(32,1),(34,1),(58,1),(63,1)}
        46:{1,2,4,7}:{(32,1),(33,1),(63,1)}
        47:{1,2,3,6,7}:{(33,1),(36,1),(60,1),(64,1),(68,1),(97,1)}
        48:{1,3,5,6}:{(34,1),(40,1),(61,1),(65,1),(66,1)}
        49:{2,3,5,6}:{(34,1),(37,1),(62,1),(65,1),(67,1)}
        50:{3,5,7}:{(34,1),(35,1),(63,1),(68,1)}
        51:{1,2,4,6,7}:{(35,1),(36,1),(39,1),(42,1),(68,1),(69,1),(70,1),(72,1),(97,1),(98,1)}
        52:{2,4,5,7}:{(37,1),(38,1),(67,1),(70,1)}
        53:{3,4,6,7}:{(38,1),(39,1),(68,1),(70,1),(71,1),(98,1)}
        54:{1,5,6,7}:{(39,1),(71,1)}
        55:{1,4,5,7}:{(40,1),(41,1),(66,1),(72,1)}
        56:{3,4,6,7}:{(41,1),(42,1),(68,1),(72,1),(73,1),(98,1)}
        57:{2,5,6,7}:{(42,1),(73,1)}
        58:{3,4,5}:{(43,1),(45,1)}
        59:{1,2,4,5,7}:{(43,1),(44,1),(46,1),(76,1),(77,1),(82,1)}
        60:{1,2,3,6}:{(44,1),(77,1)}
        61:{1,3,4,6}:{(45,1),(48,1),(74,1),(78,1),(79,1)}
        62:{2,3,4,6}:{(45,1),(49,1),(75,1),(78,1),(80,1)}
        63:{3,4,7}:{(45,1),(46,1),(50,1)}
        64:{1,2,4,6,7}:{(46,1),(47,1),(77,1),(81,1),(82,1)}
        65:{1,2,5,6}:{(48,1),(49,1),(78,1),(83,1)}
        66:{1,3,5,7}:{(48,1),(50,1),(55,1),(79,1),(83,1),(84,1)}
        67:{2,3,5,7}:{(49,1),(50,1),(52,1),(80,1),(83,1),(85,1)}
        68:{3,6,7}:{(50,1),(51,1)}
        69:{1,2,5,6,7}:{(51,1),(54,1),(57,1),(82,1),(86,1),(87,1),(89,1)}
        70:{2,4,6,7}:{(52,1),(53,1),(85,1),(87,1)}
        71:{3,5,6,7}:{(53,1),(54,1),(87,1),(88,1)}
        72:{1,4,6,7}:{(55,1),(56,1),(84,1),(89,1)}
        73:{3,5,6,7}:{(56,1),(57,1),(89,1),(90,1)}
        74:{1,3,4,5}:{(58,1),(61,1),(91,1)}
        75:{2,3,4,5}:{(58,1),(62,1),(91,1)}
        76:{3,4,5,7}:{(58,1),(59,1),(63,1),(92,1),(96,1)}
        77:{1,2,4,6}:{(59,1),(60,1),(92,1),(93,1)}
        78:{1,2,4,6}:{(61,1),(62,1),(65,1),(91,1),(94,1),(95,1)}
        79:{1,3,4,7}:{(61,1),(63,1),(66,1),(95,1)}
        80:{2,3,4,7}:{(62,1),(63,1),(67,1),(95,1)}
        81:{3,4,6,7}:{(63,1),(64,1),(68,1),(92,1),(96,1),(98,1)}
        82:{1,2,5,7}:{(64,1),(93,1),(96,1)}
        83:{1,2,5,7}:{(65,1),(66,1),(67,1),(95,1),(97,1)}
        84:{1,3,6,7}:{(66,1),(68,1),(72,1),(97,1)}
        85:{2,3,6,7}:{(67,1),(68,1),(70,1),(97,1)}
        86:{3,5,6,7}:{(68,1),(69,1),(96,1),(98,1)}
        87:{2,5,6,7}:{(70,1),(71,1)}
        88:{4,5,6,7}:{(71,1),(98,1)}
        89:{1,5,6,7}:{(72,1),(73,1)}
        90:{4,5,6,7}:{(73,1),(98,1)}
        91:{1,2,4,5}:{(74,1),(75,1),(78,1),(99,1)}
        92:{3,4,6}:{(76,1),(77,1),(100,1)}
        93:{1,2,5,6}:{(77,1),(82,1),(100,1)}
        94:{1,2,3,6}:{(78,1),(99,1),(101,1)}
        95:{1,2,4,7}:{(78,1),(79,1),(80,1),(83,1),(101,1)}
        96:{3,5,7}:{(81,1),(82,1),(100,1),(102,1)}
        97:{1,2,6,7}:{(83,1),(84,1),(85,1)}
        98:{4,6,7}:{(86,1),(102,1)}
        99:{1,2,3,5}:{(91,1),(94,1),(103,1)}
       100:{3,5,6}:{(92,1),(93,1),(96,1),(104,1)}
       101:{1,2,3,7}:{(94,1),(95,1)}
       102:{4,5,7}:{(96,1),(98,1),(104,1)}
       103:{1,2,3,4}:{(99,1)}
       104:{4,5,6}:{(100,1),(102,1)}

1384 :   0:{1,3,4,6}:{(6,1),(7,1),(8,1),(12,1),(47,1),(51,1),(91,1),(143,1)}
         1:{2,3,4,6}:{(6,1),(9,1),(10,1),(14,1),(50,1),(51,1),(91,1),(143,1)}
         2:{1,3,5,6}:{(7,1),(11,1),(12,1),(13,1),(18,1),(47,1),(51,1),(100,1),(148,1)}
         3:{2,3,5,6}:{(9,1),(11,1),(14,1),(15,1),(16,1),(50,1),(51,1),(103,1),(148,1)}
         4:{2,4,5,6}:{(14,1),(16,1),(17,1),(103,1),(152,1)}
         5:{1,4,5,6}:{(12,1),(18,1),(19,1),(100,1),(150,1)}
         6:{1,2,4,6}:{(0,1),(1,1),(20,1),(21,1),(22,1),(66,1),(70,1)}
         7:{1,3,5}:{(0,1),(21,1),(23,1),(68,1),(165,1)}
         8:{1,3,4,7}:{(0,1),(22,1),(24,1),(30,1),(79,1),(119,1),(226,1)}
         9:{2,3,5}:{(1,1),(21,1),(25,1),(68,1),(165,1)}
        10:{2,3,4,7}:{(1,1),(22,1),(26,1),(33,1),(79,1),(119,1),(227,1)}
        11:{1,2,5,6}:{(2,1),(3,1),(21,1),(27,1),(28,1),(35,1),(38,1),(70,1)}
        12:{1,4,6}:{(2,1),(23,1),(29,1),(30,1),(169,1)}
        13:{1,3,5,7}:{(2,1),(28,1),(30,1),(31,1),(39,1),(79,1),(83,1),(133,1)}
        14:{2,4,6}:{(3,1),(25,1),(32,1),(33,1),(169,1)}
        15:{2,3,5,7}:{(3,1),(28,1),(33,1),(34,1),(36,1),(79,1),(86,1),(133,1)}
        16:{3,5,6}:{(4,1),(32,1),(35,1),(36,1)}
        17:{2,4,5,7}:{(4,1),(33,1),(36,1),(37,1),(86,1),(137,1)}
        18:{3,5,6}:{(5,1),(29,1),(38,1),(39,1)}
        19:{1,4,5,7}:{(5,1),(30,1),(39,1),(40,1),(83,1),(135,1)}
        20:{1,2,3,6}:{(6,1),(41,1),(42,1),(51,1),(104,1)}
        21:{1,2,5}:{(6,1),(7,1),(9,1)}
        22:{1,2,4,7}:{(6,1),(8,1),(10,1),(42,1),(44,1),(229,1)}
        23:{1,4,5}:{(7,1),(12,1),(45,1),(183,1)}
        24:{1,3,5,7}:{(7,1),(8,1),(44,1),(46,1),(47,1),(96,1),(213,1),(223,1)}
        25:{2,4,5}:{(9,1),(14,1),(48,1),(183,1)}
        26:{2,3,5,7}:{(9,1),(10,1),(44,1),(49,1),(50,1),(96,1),(214,1),(224,1)}
        27:{1,2,4,6}:{(11,1),(12,1),(14,1),(43,1),(51,1),(52,1),(54,1),(57,1),(104,1)}
        28:{1,2,5,7}:{(11,1),(13,1),(15,1),(52,1),(53,1),(60,1),(63,1)}
        29:{3,4,6}:{(12,1),(18,1),(45,1),(51,1),(54,1),(55,1)}
        30:{1,4,7}:{(12,1),(13,1),(55,1),(156,1)}
        31:{1,3,6,7}:{(13,1),(47,1),(53,1),(56,1),(64,1),(107,1),(213,1)}
        32:{3,4,6}:{(14,1),(16,1),(48,1),(51,1),(57,1),(58,1)}
        33:{2,4,7}:{(14,1),(15,1),(58,1),(156,1)}
        34:{2,3,6,7}:{(15,1),(50,1),(53,1),(59,1),(61,1),(107,1),(214,1)}
        35:{1,5,6}:{(16,1),(57,1),(60,1)}
        36:{3,5,7}:{(16,1),(17,1),(58,1),(60,1),(61,1)}
        37:{2,4,6,7}:{(17,1),(61,1),(62,1),(114,1)}
        38:{2,5,6}:{(18,1),(54,1),(63,1)}
        39:{3,5,7}:{(18,1),(19,1),(55,1),(63,1),(64,1)}
        40:{1,4,6,7}:{(19,1),(64,1),(65,1),(116,1)}
        41:{1,2,3,5}:{(20,1),(21,1),(66,1),(68,1),(121,1),(161,1)}
        42:{1,2,3,7}:{(20,1),(22,1),(79,1),(130,1),(230,1)}
        43:{1,2,4,5}:{(21,1),(23,1),(25,1),(27,1),(66,1),(68,1),(71,1),(74,1),(121,1)}
        44:{1,2,5,7}:{(21,1),(22,1),(24,1),(26,1),(70,1),(221,1),(228,1)}
        45:{3,4,5}:{(23,1),(29,1),(68,1),(71,1)}
        46:{1,4,5,7}:{(23,1),(24,1),(30,1),(72,1),(73,1),(83,1),(205,1),(218,1)}
        47:{1,3,6}:{(24,1),(70,1),(73,1),(124,1)}
        48:{3,4,5}:{(25,1),(32,1),(68,1),(74,1)}
        49:{2,4,5,7}:{(25,1),(26,1),(33,1),(75,1),(76,1),(86,1),(204,1),(217,1)}
        50:{2,3,6}:{(26,1),(70,1),(76,1),(124,1)}
        51:{3,6}:{(27,1),(68,1),(79,1)}
        52:{1,2,4,7}:{(27,1),(28,1),(30,1),(33,1),(79,1),(81,1),(84,1),(130,1)}
        53:{1,2,6,7}:{(28,1),(31,1),(34,1),(70,1),(87,1),(89,1),(221,1)}
        54:{2,4,6}:{(29,1),(38,1),(71,1),(78,1),(81,1)}
        55:{3,4,7}:{(29,1),(30,1),(39,1),(79,1),(81,1)}
        56:{1,4,6,7}:{(30,1),(31,1),(73,1),(82,1),(83,1),(178,1),(205,1)}
        57:{1,4,6}:{(32,1),(35,1),(74,1),(77,1),(84,1)}
        58:{3,4,7}:{(32,1),(33,1),(36,1),(79,1),(84,1)}
        59:{2,4,6,7}:{(33,1),(34,1),(76,1),(85,1),(86,1),(177,1),(204,1)}
        60:{1,5,7}:{(35,1),(36,1),(84,1),(87,1)}
        61:{3,6,7}:{(36,1),(37,1),(87,1)}
        62:{2,5,6,7}:{(37,1),(86,1),(88,1),(177,1)}
        63:{2,5,7}:{(38,1),(39,1),(81,1),(89,1)}
        64:{3,6,7}:{(39,1),(40,1),(89,1)}
        65:{1,5,6,7}:{(40,1),(83,1),(90,1),(178,1)}
        66:{1,2,4}:{(41,1),(91,1)}
        67:{1,2,3,5,7}:{(41,1),(42,1),(44,1),(92,1),(93,1),(96,1),(144,1),(145,1),(179,1),(206,1)}
        68:{3,5}:{(43,1),(51,1),(91,1)}
        69:{1,2,4,5,7}:{(43,1),(44,1),(46,1),(49,1),(52,1),(92,1),(96,1),(97,1),(98,1),(101,1),(108,1),(144,1),(145,1),(156,1),(183,1),(189,1),(207,1)}
        70:{1,2,6}:{(44,1),(47,1),(50,1)}
        71:{2,4,5}:{(45,1),(54,1),(95,1)}
        72:{3,4,5,7}:{(45,1),(46,1),(55,1),(96,1),(98,1),(99,1),(110,1),(156,1),(183,1),(191,1),(209,1)}
        73:{1,4,6}:{(46,1),(47,1),(99,1),(100,1)}
        74:{1,4,5}:{(48,1),(57,1),(94,1)}
        75:{3,4,5,7}:{(48,1),(49,1),(58,1),(96,1),(101,1),(102,1),(112,1),(156,1),(183,1),(190,1),(208,1)}
        76:{2,4,6}:{(49,1),(50,1),(102,1),(103,1)}
        77:{1,3,6}:{(51,1),(57,1),(94,1),(104,1),(105,1)}
        78:{2,3,6}:{(51,1),(54,1),(95,1),(104,1),(106,1)}
        79:{3,7}:{(51,1),(52,1)}
        80:{1,2,4,6,7}:{(52,1),(53,1),(56,1),(59,1),(97,1),(107,1),(108,1),(109,1),(111,1),(153,1),(156,1),(189,1)}
        81:{2,4,7}:{(54,1),(55,1),(63,1),(106,1)}
        82:{3,4,6,7}:{(55,1),(56,1),(64,1),(99,1),(107,1),(109,1),(110,1),(116,1),(156,1),(160,1),(191,1)}
        83:{1,5,7}:{(56,1),(100,1),(110,1)}
        84:{1,4,7}:{(57,1),(58,1),(60,1),(105,1)}
        85:{3,4,6,7}:{(58,1),(59,1),(61,1),(102,1),(107,1),(111,1),(112,1),(114,1),(156,1),(159,1),(190,1)}
        86:{2,5,7}:{(59,1),(103,1),(112,1)}
        87:{1,6,7}:{(60,1),(61,1)}
        88:{3,5,6,7}:{(61,1),(62,1),(112,1),(113,1),(114,1),(159,1)}
        89:{2,6,7}:{(63,1),(64,1)}
        90:{3,5,6,7}:{(64,1),(65,1),(110,1),(115,1),(116,1),(160,1)}
        91:{3,4}:{(66,1),(68,1)}
        92:{1,2,4,7}:{(66,1),(67,1),(119,1),(120,1),(215,1)}
        93:{1,2,3,6}:{(67,1),(70,1),(120,1),(124,1),(166,1)}
        94:{1,3,5}:{(68,1),(74,1),(77,1),(117,1),(121,1)}
        95:{2,3,5}:{(68,1),(71,1),(78,1),(118,1),(121,1)}
        96:{3,5,7}:{(68,1),(69,1),(79,1),(119,1),(124,1),(165,1),(203,1),(216,1)}
        97:{1,2,4,6}:{(69,1),(70,1),(73,1),(76,1),(124,1),(125,1),(126,1),(128,1),(166,1),(169,1)}
        98:{2,4,5,7}:{(71,1),(72,1),(81,1),(123,1),(126,1),(134,1),(174,1),(197,1)}
        99:{3,4,6}:{(72,1),(73,1),(124,1),(126,1),(127,1),(169,1)}
       100:{1,5,6}:{(73,1),(83,1),(127,1)}
       101:{1,4,5,7}:{(74,1),(75,1),(84,1),(122,1),(128,1),(136,1),(173,1),(196,1)}
       102:{3,4,6}:{(75,1),(76,1),(124,1),(128,1),(129,1),(169,1)}
       103:{2,5,6}:{(76,1),(86,1),(129,1)}
       104:{1,2,6}:{(77,1),(78,1),(121,1),(130,1)}
       105:{1,3,7}:{(77,1),(79,1),(84,1),(130,1)}
       106:{2,3,7}:{(78,1),(79,1),(81,1),(130,1)}
       107:{3,6,7}:{(79,1),(80,1),(124,1),(133,1),(203,1)}
       108:{1,2,5,7}:{(80,1),(83,1),(86,1),(125,1),(133,1),(134,1),(136,1)}
       109:{2,4,6,7}:{(81,1),(82,1),(89,1),(126,1),(132,1),(134,1),(174,1)}
       110:{3,5,7}:{(82,1),(83,1),(127,1),(134,1),(135,1)}
       111:{1,4,6,7}:{(84,1),(85,1),(87,1),(128,1),(131,1),(136,1),(173,1)}
       112:{3,5,7}:{(85,1),(86,1),(129,1),(136,1),(137,1)}
       113:{1,5,6,7}:{(87,1),(88,1),(136,1),(138,1)}
       114:{4,6,7}:{(88,1),(137,1)}
       115:{2,5,6,7}:{(89,1),(90,1),(134,1),(139,1)}
       116:{4,6,7}:{(90,1),(135,1)}
       117:{1,3,4}:{(91,1),(94,1),(140,1)}
       118:{2,3,4}:{(91,1),(95,1),(140,1)}
       119:{3,4,7}:{(91,1),(92,1),(96,1),(143,1),(156,1),(222,1)}
       120:{1,2,4,6}:{(92,1),(93,1),(143,1),(144,1)}
       121:{1,2,5}:{(94,1),(95,1),(104,1),(140,1)}
       122:{1,3,5,7}:{(94,1),(96,1),(101,1),(105,1),(141,1),(145,1),(146,1),(181,1)}
       123:{2,3,5,7}:{(95,1),(96,1),(98,1),(106,1),(142,1),(145,1),(147,1),(182,1)}
       124:{3,6}:{(96,1),(97,1)}
       125:{1,2,5,6}:{(97,1),(100,1),(103,1),(108,1),(144,1),(148,1),(149,1),(151,1)}
       126:{2,4,6}:{(98,1),(99,1),(147,1),(149,1)}
       127:{3,5,6}:{(99,1),(100,1),(110,1),(149,1),(150,1)}
       128:{1,4,6}:{(101,1),(102,1),(146,1),(151,1)}
       129:{3,5,6}:{(102,1),(103,1),(112,1),(151,1),(152,1)}
       130:{1,2,7}:{(104,1),(105,1),(106,1)}
       131:{1,3,6,7}:{(105,1),(107,1),(111,1),(146,1),(153,1),(154,1),(159,1)}
       132:{2,3,6,7}:{(106,1),(107,1),(109,1),(147,1),(153,1),(155,1),(160,1)}
       133:{3,5,7}:{(107,1),(108,1),(148,1),(156,1)}
       134:{2,5,7}:{(109,1),(110,1),(149,1)}
       135:{4,5,7}:{(110,1),(116,1),(150,1),(156,1)}
       136:{1,5,7}:{(111,1),(112,1),(151,1)}
       137:{4,5,7}:{(112,1),(114,1),(152,1),(156,1)}
       138:{1,4,6,7}:{(113,1),(114,1),(158,1),(159,1)}
       139:{2,4,6,7}:{(115,1),(116,1),(157,1),(160,1)}
       140:{1,2,4}:{(117,1),(118,1),(121,1),(161,1)}
       141:{1,3,4,7}:{(117,1),(119,1),(122,1),(162,1),(163,1),(173,1),(203,1)}
       142:{2,3,4,7}:{(118,1),(119,1),(123,1),(162,1),(164,1),(174,1),(203,1)}
       143:{3,4,6}:{(119,1),(120,1),(124,1),(165,1),(169,1)}
       144:{1,2,5}:{(120,1),(165,1)}
       145:{1,2,5,7}:{(121,1),(122,1),(123,1),(130,1),(162,1),(166,1),(195,1)}
       146:{1,3,6}:{(122,1),(124,1),(128,1),(166,1)}
       147:{2,3,6}:{(123,1),(124,1),(126,1),(166,1)}
       148:{3,5,6}:{(124,1),(125,1),(133,1),(165,1),(169,1)}
       149:{2,5,6}:{(126,1),(127,1),(134,1)}
       150:{4,5,6}:{(127,1),(135,1),(169,1)}
       151:{1,5,6}:{(128,1),(129,1),(136,1)}
       152:{4,5,6}:{(129,1),(137,1),(169,1)}
       153:{1,2,6,7}:{(130,1),(131,1),(132,1),(166,1),(172,1),(177,1),(178,1)}
       154:{1,3,5,7}:{(131,1),(133,1),(136,1),(167,1),(172,1),(173,1),(176,1),(203,1)}
       155:{2,3,5,7}:{(132,1),(133,1),(134,1),(168,1),(172,1),(174,1),(175,1),(203,1)}
       156:{4,7}:{(133,1),(169,1)}
       157:{2,4,5,7}:{(134,1),(135,1),(139,1),(170,1),(174,1),(175,1)}
       158:{1,4,5,7}:{(136,1),(137,1),(138,1),(171,1),(173,1),(176,1)}
       159:{3,6,7}:{(138,1),(176,1),(177,1)}
       160:{3,6,7}:{(139,1),(175,1),(178,1)}
       161:{1,2,3}:{(140,1)}
       162:{1,2,4,7}:{(140,1),(141,1),(142,1),(145,1),(179,1),(180,1)}
       163:{1,3,4,6}:{(141,1),(143,1),(146,1),(180,1),(181,1),(185,1),(210,1),(222,1)}
       164:{2,3,4,6}:{(142,1),(143,1),(147,1),(180,1),(182,1),(186,1),(210,1),(222,1)}
       165:{3,5}:{(143,1),(144,1),(183,1)}
       166:{1,2,6}:{(145,1),(146,1),(147,1)}
       167:{1,3,5,6}:{(146,1),(148,1),(151,1),(154,1),(181,1),(184,1),(185,1),(188,1),(210,1)}
       168:{2,3,5,6}:{(147,1),(148,1),(149,1),(155,1),(182,1),(184,1),(186,1),(187,1),(210,1)}
       169:{4,6}:{(148,1),(156,1),(183,1)}
       170:{2,4,5,6}:{(149,1),(150,1),(157,1),(186,1),(187,1)}
       171:{1,4,5,6}:{(151,1),(152,1),(158,1),(185,1),(188,1)}
       172:{1,2,5,7}:{(153,1),(154,1),(155,1),(184,1),(189,1),(192,1),(193,1)}
       173:{1,4,7}:{(154,1),(156,1),(185,1),(190,1)}
       174:{2,4,7}:{(155,1),(156,1),(186,1),(191,1)}
       175:{3,5,7}:{(157,1),(160,1),(187,1),(191,1),(192,1)}
       176:{3,5,7}:{(158,1),(159,1),(188,1),(190,1),(193,1)}
       177:{2,6,7}:{(159,1),(193,1)}
       178:{1,6,7}:{(160,1),(192,1)}
       179:{1,2,3,7}:{(161,1),(162,1),(194,1),(203,1),(221,1)}
       180:{1,2,4,6}:{(162,1),(163,1),(164,1),(166,1),(194,1),(195,1),(215,1)}
       181:{1,3,5}:{(163,1),(165,1),(195,1),(196,1),(216,1)}
       182:{2,3,5}:{(164,1),(165,1),(195,1),(197,1),(216,1)}
       183:{4,5}:{(165,1),(169,1)}
       184:{1,2,5,6}:{(166,1),(167,1),(168,1),(172,1),(195,1),(198,1),(201,1),(202,1)}
       185:{1,4,6}:{(167,1),(169,1),(173,1),(196,1),(199,1)}
       186:{2,4,6}:{(168,1),(169,1),(174,1),(197,1),(200,1)}
       187:{3,5,6}:{(170,1),(175,1),(200,1),(201,1)}
       188:{3,5,6}:{(171,1),(176,1),(199,1),(202,1)}
       189:{1,2,4,7}:{(172,1),(173,1),(174,1),(198,1),(203,1),(204,1),(205,1),(221,1)}
       190:{3,4,7}:{(173,1),(176,1),(199,1),(203,1),(204,1)}
       191:{3,4,7}:{(174,1),(175,1),(200,1),(203,1),(205,1)}
       192:{1,5,7}:{(175,1),(178,1),(201,1),(205,1)}
       193:{2,5,7}:{(176,1),(177,1),(202,1),(204,1)}
       194:{1,2,3,6}:{(179,1),(180,1),(206,1),(210,1),(225,1)}
       195:{1,2,5}:{(180,1),(181,1),(182,1)}
       196:{1,4,5}:{(181,1),(183,1),(185,1),(208,1)}
       197:{2,4,5}:{(182,1),(183,1),(186,1),(209,1)}
       198:{1,2,4,6}:{(184,1),(185,1),(186,1),(189,1),(207,1),(210,1),(211,1),(212,1),(225,1)}
       199:{3,4,6}:{(185,1),(188,1),(190,1),(208,1),(210,1),(211,1)}
       200:{3,4,6}:{(186,1),(187,1),(191,1),(209,1),(210,1),(212,1)}
       201:{1,5,6}:{(187,1),(192,1),(212,1)}
       202:{2,5,6}:{(188,1),(193,1),(211,1)}
       203:{3,7}:{(189,1),(210,1)}
       204:{2,4,7}:{(190,1),(193,1),(211,1),(214,1)}
       205:{1,4,7}:{(191,1),(192,1),(212,1),(213,1)}
       206:{1,2,3,5}:{(194,1),(195,1),(215,1),(216,1),(228,1),(230,1)}
       207:{1,2,4,5}:{(195,1),(196,1),(197,1),(198,1),(215,1),(216,1),(217,1),(218,1),(228,1)}
       208:{3,4,5}:{(196,1),(199,1),(216,1),(217,1)}
       209:{3,4,5}:{(197,1),(200,1),(216,1),(218,1)}
       210:{3,6}:{(198,1),(203,1),(216,1)}
       211:{2,4,6}:{(199,1),(202,1),(204,1),(217,1),(220,1)}
       212:{1,4,6}:{(200,1),(201,1),(205,1),(218,1),(219,1)}
       213:{1,3,7}:{(203,1),(205,1),(219,1),(221,1)}
       214:{2,3,7}:{(203,1),(204,1),(220,1),(221,1)}
       215:{1,2,4}:{(206,1),(222,1)}
       216:{3,5}:{(207,1),(210,1),(222,1)}
       217:{2,4,5}:{(208,1),(211,1),(224,1)}
       218:{1,4,5}:{(209,1),(212,1),(223,1)}
       219:{1,3,6}:{(210,1),(212,1),(213,1),(223,1),(225,1)}
       220:{2,3,6}:{(210,1),(211,1),(214,1),(224,1),(225,1)}
       221:{1,2,7}:{(213,1),(214,1),(225,1)}
       222:{3,4}:{(215,1),(216,1)}
       223:{1,3,5}:{(216,1),(218,1),(219,1),(226,1),(228,1)}
       224:{2,3,5}:{(216,1),(217,1),(220,1),(227,1),(228,1)}
       225:{1,2,6}:{(219,1),(220,1),(221,1),(228,1)}
       226:{1,3,4}:{(222,1),(223,1),(229,1)}
       227:{2,3,4}:{(222,1),(224,1),(229,1)}
       228:{1,2,5}:{(223,1),(224,1),(225,1),(229,1)}
       229:{1,2,4}:{(226,1),(227,1),(228,1),(230,1)}
       230:{1,2,3}:{(229,1)}

1385 :   0:{1,3,4,5,7}:{(2,1),(3,1),(21,1),(36,1),(87,1),(132,1),(136,1),(142,1),(177,1),(185,1)}
         1:{2,3,4,5,7}:{(4,1),(5,1),(27,1),(30,1),(76,1),(133,1),(141,1),(145,1),(177,1),(190,1)}
         2:{1,3,4,6}:{(0,1),(9,1),(10,1),(106,1),(169,1),(196,1),(200,1)}
         3:{1,2,4,5,7}:{(0,1),(10,1),(11,1),(38,1),(44,1),(97,1),(103,1),(107,1)}
         4:{2,3,4,6}:{(1,1),(15,1),(16,1),(116,1),(162,1),(196,1),(203,1)}
         5:{1,2,4,5,7}:{(1,1),(16,1),(17,1),(38,1),(55,1),(97,1),(113,1),(117,1)}
         6:{1,4,5,6,7}:{(19,1),(66,1),(189,1)}
         7:{1,3,4,6,7}:{(2,1),(21,1),(22,1),(66,1),(129,1),(132,1),(182,1)}
         8:{3,4,5,6}:{(20,1),(23,1),(24,1),(74,1),(145,1),(191,1)}
         9:{1,3,5,6}:{(2,1),(21,1),(23,1),(25,1),(74,1),(87,1),(207,1)}
        10:{1,2,4,6}:{(2,1),(3,1),(25,1),(26,1),(75,1)}
        11:{2,3,5,7}:{(3,1),(26,1),(27,1),(76,1),(177,1)}
        12:{2,4,5,6,7}:{(28,1),(78,1),(184,1)}
        13:{2,3,4,6,7}:{(4,1),(30,1),(31,1),(78,1),(138,1),(141,1),(187,1)}
        14:{3,4,5,6}:{(29,1),(32,1),(33,1),(85,1),(136,1),(186,1)}
        15:{2,3,5,6}:{(4,1),(30,1),(33,1),(34,1),(76,1),(85,1),(208,1)}
        16:{1,2,4,6}:{(4,1),(5,1),(34,1),(35,1),(86,1)}
        17:{1,3,5,7}:{(5,1),(35,1),(36,1),(87,1),(177,1)}
        18:{1,2,3,5,7}:{(11,1),(17,1),(37,1),(38,1),(97,1)}
        19:{3,5,6,7}:{(6,1),(39,1),(41,1),(202,1)}
        20:{3,4,5,7}:{(8,1),(39,1),(42,1),(43,1),(102,1)}
        21:{1,3,5,7}:{(7,1),(9,1),(42,1),(44,1),(102,1),(198,1)}
        22:{1,2,4,6,7}:{(7,1),(10,1),(44,1),(45,1),(103,1)}
        23:{1,4,5,6}:{(8,1),(9,1),(42,1),(117,1),(169,1)}
        24:{2,4,5,6}:{(8,1),(43,1),(46,1),(170,1),(203,1)}
        25:{1,2,5,6}:{(9,1),(10,1),(44,1),(48,1),(97,1)}
        26:{2,3,6}:{(10,1),(11,1),(196,1)}
        27:{2,3,4,7}:{(11,1),(38,1),(49,1),(103,1),(150,1)}
        28:{3,5,6,7}:{(12,1),(50,1),(51,1),(199,1)}
        29:{3,4,5,7}:{(14,1),(50,1),(53,1),(54,1),(112,1)}
        30:{2,3,5,7}:{(13,1),(15,1),(54,1),(55,1),(112,1),(201,1)}
        31:{1,2,4,6,7}:{(13,1),(16,1),(55,1),(56,1),(113,1)}
        32:{1,4,5,6}:{(14,1),(53,1),(57,1),(163,1),(200,1)}
        33:{2,4,5,6}:{(14,1),(15,1),(54,1),(107,1),(162,1)}
        34:{1,2,5,6}:{(15,1),(16,1),(55,1),(59,1),(97,1)}
        35:{1,3,6}:{(16,1),(17,1),(196,1)}
        36:{1,3,4,7}:{(17,1),(38,1),(60,1),(113,1),(150,1)}
        37:{1,2,3,6}:{(18,1),(26,1),(35,1),(65,1)}
        38:{1,2,4,7}:{(18,1),(27,1),(36,1),(65,1)}
        39:{3,4,6,7}:{(19,1),(20,1),(66,1),(67,1),(129,1),(191,1)}
        40:{1,3,5,6,7}:{(19,1),(21,1),(66,1),(68,1),(129,1),(143,1)}
        41:{2,5,6,7}:{(19,1),(67,1),(208,1)}
        42:{1,4,5,7}:{(20,1),(21,1),(23,1),(66,1)}
        43:{2,4,5,7}:{(20,1),(24,1),(67,1),(69,1)}
        44:{1,2,5,7}:{(21,1),(22,1),(25,1),(71,1)}
        45:{2,3,6,7}:{(22,1),(26,1),(71,1),(129,1)}
        46:{2,3,5,6}:{(24,1),(63,1),(69,1),(73,1),(74,1),(180,1),(205,1)}
        47:{1,2,4,5,6}:{(23,1),(24,1),(25,1),(70,1),(73,1),(74,1),(75,1),(127,1),(135,1),(178,1),(184,1),(207,1)}
        48:{2,3,5,6}:{(25,1),(26,1),(71,1),(74,1),(75,1),(76,1)}
        49:{2,3,4,6}:{(26,1),(27,1),(65,1),(75,1),(76,1),(126,1)}
        50:{3,4,6,7}:{(28,1),(29,1),(77,1),(78,1),(138,1),(186,1)}
        51:{1,5,6,7}:{(28,1),(77,1),(207,1)}
        52:{2,3,5,6,7}:{(28,1),(30,1),(78,1),(79,1),(134,1),(138,1)}
        53:{1,4,5,7}:{(29,1),(32,1),(77,1),(80,1)}
        54:{2,4,5,7}:{(29,1),(30,1),(33,1),(78,1)}
        55:{1,2,5,7}:{(30,1),(31,1),(34,1),(82,1)}
        56:{1,3,6,7}:{(31,1),(35,1),(82,1),(138,1)}
        57:{1,3,5,6}:{(32,1),(62,1),(80,1),(84,1),(85,1),(181,1),(206,1)}
        58:{1,2,4,5,6}:{(32,1),(33,1),(34,1),(81,1),(84,1),(85,1),(86,1),(127,1),(144,1),(178,1),(189,1),(208,1)}
        59:{1,3,5,6}:{(34,1),(35,1),(82,1),(85,1),(86,1),(87,1)}
        60:{1,3,4,6}:{(35,1),(36,1),(65,1),(86,1),(87,1),(126,1)}
        61:{1,2,3,6,7}:{(37,1),(45,1),(56,1),(92,1),(93,1),(157,1),(164,1),(196,1),(209,1)}
        62:{1,3,4,6}:{(57,1),(88,1),(90,1),(94,1),(116,1)}
        63:{2,3,4,6}:{(46,1),(89,1),(91,1),(95,1),(106,1)}
        64:{1,2,3,5,6}:{(37,1),(48,1),(59,1),(92,1),(96,1),(97,1),(105,1),(115,1),(152,1),(153,1),(156,1),(196,1),(197,1),(209,1)}
        65:{1,2,4,6}:{(37,1),(38,1),(49,1),(60,1),(97,1)}
        66:{1,4,6,7}:{(39,1),(40,1),(42,1),(169,1)}
        67:{2,4,6,7}:{(39,1),(41,1),(43,1),(98,1),(203,1)}
        68:{1,2,5,6,7}:{(40,1),(41,1),(44,1),(99,1),(100,1),(152,1),(198,1)}
        69:{2,3,5,7}:{(43,1),(46,1),(91,1),(98,1),(101,1),(102,1)}
        70:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(47,1),(99,1),(101,1),(102,1),(103,1),(159,1),(160,1),(198,1)}
        71:{2,3,5,7}:{(44,1),(45,1),(48,1),(102,1),(103,1)}
        72:{2,3,4,6,7}:{(45,1),(49,1),(93,1),(103,1),(104,1),(150,1),(158,1),(162,1),(196,1)}
        73:{1,2,5,6}:{(46,1),(95,1),(101,1),(105,1),(197,1),(209,1)}
        74:{3,5,6}:{(47,1),(102,1),(106,1),(156,1),(196,1)}
        75:{2,4,6}:{(48,1),(103,1),(106,1),(107,1)}
        76:{2,3,5}:{(49,1),(97,1),(107,1),(156,1)}
        77:{1,4,6,7}:{(50,1),(51,1),(53,1),(108,1),(200,1)}
        78:{2,4,6,7}:{(50,1),(52,1),(54,1),(162,1)}
        79:{1,2,5,6,7}:{(51,1),(52,1),(55,1),(109,1),(110,1),(152,1),(201,1)}
        80:{1,3,5,7}:{(53,1),(57,1),(90,1),(108,1),(111,1),(112,1)}
        81:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(58,1),(109,1),(111,1),(112,1),(113,1),(166,1),(167,1),(201,1)}
        82:{1,3,5,7}:{(55,1),(56,1),(59,1),(112,1),(113,1)}
        83:{1,3,4,6,7}:{(56,1),(60,1),(93,1),(113,1),(114,1),(150,1),(165,1),(169,1),(196,1)}
        84:{1,2,5,6}:{(57,1),(94,1),(111,1),(115,1),(197,1),(209,1)}
        85:{3,5,6}:{(58,1),(112,1),(116,1),(156,1),(196,1)}
        86:{1,4,6}:{(59,1),(113,1),(116,1),(117,1)}
        87:{1,3,5}:{(60,1),(97,1),(117,1),(156,1)}
        88:{1,3,4,5}:{(62,1),(118,1),(145,1),(173,1),(181,1)}
        89:{2,3,4,5}:{(63,1),(119,1),(136,1),(172,1),(180,1)}
        90:{1,3,4,7}:{(62,1),(80,1),(120,1),(141,1)}
        91:{2,3,4,7}:{(63,1),(69,1),(121,1),(132,1)}
        92:{1,2,3,5,7}:{(61,1),(64,1),(71,1),(82,1),(122,1),(123,1),(131,1),(140,1),(174,1),(177,1),(204,1)}
        93:{1,2,4,6,7}:{(61,1),(65,1),(72,1),(83,1),(122,1),(123,1),(178,1),(182,1),(187,1)}
        94:{1,2,4,6}:{(62,1),(84,1),(118,1),(120,1),(124,1),(144,1)}
        95:{1,2,4,6}:{(63,1),(73,1),(119,1),(121,1),(125,1),(135,1)}
        96:{1,2,4,6}:{(64,1),(75,1),(86,1),(122,1),(126,1),(127,1),(135,1),(144,1)}
        97:{1,2,5}:{(65,1),(76,1),(87,1)}
        98:{2,3,6,7}:{(67,1),(69,1),(128,1),(129,1),(205,1)}
        99:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(70,1),(128,1),(129,1),(130,1),(178,1),(182,1)}
       100:{2,3,5,6,7}:{(68,1),(71,1),(129,1),(130,1),(134,1),(183,1)}
       101:{1,2,5,7}:{(69,1),(73,1),(121,1),(128,1),(131,1)}
       102:{3,5,7}:{(70,1),(74,1),(129,1),(132,1)}
       103:{2,4,7}:{(71,1),(75,1),(132,1)}
       104:{2,3,5,7}:{(72,1),(76,1),(123,1),(133,1),(134,1),(177,1),(183,1)}
       105:{1,3,5,6}:{(73,1),(74,1),(125,1),(131,1),(135,1),(181,1),(206,1),(207,1)}
       106:{3,4,6}:{(74,1),(75,1),(132,1),(135,1),(136,1)}
       107:{2,4,5}:{(75,1),(76,1),(136,1)}
       108:{1,3,6,7}:{(77,1),(80,1),(137,1),(138,1),(206,1)}
       109:{1,2,4,6,7}:{(77,1),(78,1),(79,1),(81,1),(137,1),(138,1),(139,1),(178,1),(187,1)}
       110:{1,3,5,6,7}:{(79,1),(82,1),(138,1),(139,1),(143,1),(188,1)}
       111:{1,2,5,7}:{(80,1),(84,1),(120,1),(137,1),(140,1)}
       112:{3,5,7}:{(81,1),(85,1),(138,1),(141,1)}
       113:{1,4,7}:{(82,1),(86,1),(141,1)}
       114:{1,3,5,7}:{(83,1),(87,1),(123,1),(142,1),(143,1),(177,1),(188,1)}
       115:{2,3,5,6}:{(84,1),(85,1),(124,1),(140,1),(144,1),(180,1),(205,1),(208,1)}
       116:{3,4,6}:{(85,1),(86,1),(141,1),(144,1),(145,1)}
       117:{1,4,5}:{(86,1),(87,1),(145,1)}
       118:{1,2,4,5}:{(88,1),(94,1),(146,1),(170,1),(192,1),(197,1)}
       119:{1,2,4,5}:{(89,1),(95,1),(147,1),(163,1),(192,1),(197,1)}
       120:{1,2,4,7}:{(90,1),(94,1),(111,1),(148,1),(167,1)}
       121:{1,2,4,7}:{(91,1),(95,1),(101,1),(149,1),(160,1)}
       122:{1,2,4,7}:{(92,1),(96,1),(103,1),(113,1),(150,1),(160,1),(167,1)}
       123:{1,2,5,7}:{(93,1),(97,1),(104,1),(114,1),(152,1),(198,1),(201,1)}
       124:{2,3,6}:{(94,1),(146,1),(148,1)}
       125:{1,3,6}:{(95,1),(147,1),(149,1)}
       126:{3,4,6}:{(96,1),(150,1),(156,1),(196,1)}
       127:{1,2,4,5}:{(96,1),(97,1),(107,1),(117,1),(156,1),(163,1),(170,1),(197,1)}
       128:{1,2,6,7}:{(98,1),(101,1),(157,1),(209,1)}
       129:{3,6,7}:{(99,1),(102,1),(196,1)}
       130:{2,4,6,7}:{(100,1),(103,1),(158,1),(159,1),(162,1)}
       131:{1,3,5,7}:{(101,1),(102,1),(105,1),(149,1),(157,1),(160,1),(198,1)}
       132:{3,4,7}:{(102,1),(103,1),(106,1),(160,1)}
       133:{2,4,5,7}:{(103,1),(104,1),(107,1),(161,1),(162,1)}
       134:{2,3,5,6}:{(104,1),(152,1),(162,1),(196,1),(199,1)}
       135:{1,4,6}:{(105,1),(106,1),(160,1),(163,1)}
       136:{3,4,5}:{(106,1),(107,1),(156,1),(163,1)}
       137:{1,2,6,7}:{(108,1),(111,1),(164,1),(209,1)}
       138:{3,6,7}:{(109,1),(112,1),(196,1)}
       139:{1,4,6,7}:{(110,1),(113,1),(165,1),(166,1),(169,1)}
       140:{2,3,5,7}:{(111,1),(112,1),(115,1),(148,1),(164,1),(167,1),(201,1)}
       141:{3,4,7}:{(112,1),(113,1),(116,1),(167,1)}
       142:{1,4,5,7}:{(113,1),(114,1),(117,1),(168,1),(169,1)}
       143:{1,3,5,6}:{(114,1),(152,1),(169,1),(196,1),(202,1)}
       144:{2,4,6}:{(115,1),(116,1),(167,1),(170,1)}
       145:{3,4,5}:{(116,1),(117,1),(156,1),(170,1)}
       146:{2,3,5}:{(118,1),(124,1),(172,1)}
       147:{1,3,5}:{(119,1),(125,1),(173,1)}
       148:{2,3,7}:{(120,1),(124,1)}
       149:{1,3,7}:{(121,1),(125,1)}
       150:{3,4,7}:{(122,1),(126,1),(177,1)}
       151:{1,2,4,5,7}:{(122,1),(123,1),(127,1),(133,1),(142,1),(177,1),(178,1),(185,1),(190,1),(204,1)}
       152:{1,2,5,6}:{(123,1),(134,1),(143,1),(178,1),(207,1),(208,1)}
       153:{1,2,3,6}:{(124,1),(125,1),(171,1),(174,1),(179,1)}
       154:{2,3,4,6}:{(124,1),(126,1),(144,1),(172,1),(175,1),(179,1),(180,1),(205,1)}
       155:{1,3,4,6}:{(125,1),(126,1),(135,1),(173,1),(176,1),(179,1),(181,1),(206,1)}
       156:{3,5}:{(126,1),(127,1)}
       157:{1,3,6,7}:{(128,1),(129,1),(131,1),(182,1),(206,1)}
       158:{3,4,6,7}:{(129,1),(130,1),(132,1),(182,1),(183,1),(186,1)}
       159:{2,4,5,7}:{(130,1),(183,1),(184,1)}
       160:{1,4,7}:{(131,1),(132,1),(135,1)}
       161:{3,4,5,7}:{(132,1),(133,1),(136,1),(177,1),(183,1),(185,1),(186,1)}
       162:{2,4,6}:{(133,1),(134,1),(186,1)}
       163:{1,4,5}:{(135,1),(136,1),(181,1)}
       164:{2,3,6,7}:{(137,1),(138,1),(140,1),(187,1),(205,1)}
       165:{3,4,6,7}:{(138,1),(139,1),(141,1),(187,1),(188,1),(191,1)}
       166:{1,4,5,7}:{(139,1),(188,1),(189,1)}
       167:{2,4,7}:{(140,1),(141,1),(144,1)}
       168:{3,4,5,7}:{(141,1),(142,1),(145,1),(177,1),(188,1),(190,1),(191,1)}
       169:{1,4,6}:{(142,1),(143,1),(191,1)}
       170:{2,4,5}:{(144,1),(145,1),(180,1)}
       171:{1,2,3,5}:{(146,1),(147,1),(153,1),(192,1),(197,1)}
       172:{2,3,4}:{(146,1),(192,1)}
       173:{1,3,4}:{(147,1),(192,1)}
       174:{1,2,3,7}:{(148,1),(149,1),(153,1),(193,1)}
       175:{2,3,4,7}:{(148,1),(150,1),(154,1),(167,1),(193,1),(194,1)}
       176:{1,3,4,7}:{(149,1),(150,1),(155,1),(160,1),(193,1),(195,1)}
       177:{3,5,7}:{(150,1),(151,1),(156,1),(196,1)}
       178:{1,2,4,6}:{(151,1),(152,1),(162,1),(169,1),(196,1),(200,1),(203,1),(209,1)}
       179:{1,2,4,6}:{(153,1),(154,1),(155,1),(192,1),(193,1),(197,1),(209,1)}
       180:{2,3,5}:{(154,1),(156,1),(170,1),(197,1)}
       181:{1,3,5}:{(155,1),(156,1),(163,1),(197,1)}
       182:{1,4,6,7}:{(157,1),(158,1),(160,1),(198,1),(200,1)}
       183:{3,5,7}:{(158,1),(159,1),(198,1),(199,1)}
       184:{2,4,5,6}:{(159,1),(162,1),(199,1)}
       185:{1,4,5,7}:{(160,1),(161,1),(163,1),(195,1),(198,1),(200,1)}
       186:{3,4,6}:{(161,1),(162,1),(196,1),(199,1),(200,1)}
       187:{2,4,6,7}:{(164,1),(165,1),(167,1),(201,1),(203,1)}
       188:{3,5,7}:{(165,1),(166,1),(201,1),(202,1)}
       189:{1,4,5,6}:{(166,1),(169,1),(202,1)}
       190:{2,4,5,7}:{(167,1),(168,1),(170,1),(194,1),(201,1),(203,1)}
       191:{3,4,6}:{(168,1),(169,1),(196,1),(202,1),(203,1)}
       192:{1,2,4}:{(171,1),(172,1),(173,1)}
       193:{1,2,4,7}:{(174,1),(175,1),(176,1),(179,1),(204,1)}
       194:{2,3,5,7}:{(175,1),(177,1),(180,1),(190,1),(204,1),(205,1)}
       195:{1,3,5,7}:{(176,1),(177,1),(181,1),(185,1),(204,1),(206,1)}
       196:{3,6}:{(177,1),(178,1)}
       197:{1,2,5}:{(179,1),(180,1),(181,1)}
       198:{1,5,7}:{(182,1),(183,1),(207,1)}
       199:{3,5,6}:{(183,1),(184,1),(186,1),(207,1)}
       200:{1,4,6}:{(185,1),(186,1),(206,1),(207,1)}
       201:{2,5,7}:{(187,1),(188,1),(208,1)}
       202:{3,5,6}:{(188,1),(189,1),(191,1),(208,1)}
       203:{2,4,6}:{(190,1),(191,1),(205,1),(208,1)}
       204:{1,2,5,7}:{(193,1),(194,1),(195,1),(197,1),(209,1)}
       205:{2,3,6}:{(194,1),(196,1),(203,1),(209,1)}
       206:{1,3,6}:{(195,1),(196,1),(200,1),(209,1)}
       207:{1,5,6}:{(198,1),(199,1),(200,1)}
       208:{2,5,6}:{(201,1),(202,1),(203,1)}
       209:{1,2,6}:{(204,1),(205,1),(206,1)}

1386 :   0:{3,4,5,6}:{(3,1),(4,1),(5,1),(34,1),(77,1),(116,1),(140,1)}
         1:{1,3,4,5}:{(6,1),(9,1),(45,1),(77,1),(83,1)}
         2:{2,3,4,5}:{(7,1),(10,1),(44,1),(77,1),(81,1)}
         3:{3,4,5,7}:{(0,1),(14,1),(15,1),(16,1),(55,1),(130,1)}
         4:{1,4,5,6}:{(0,1),(11,1),(15,1),(95,1),(129,1)}
         5:{2,4,5,6}:{(0,1),(12,1),(16,1),(92,1),(127,1)}
         6:{1,3,4,6}:{(1,1),(11,1),(18,1),(19,1),(56,1)}
         7:{2,3,4,6}:{(2,1),(12,1),(20,1),(21,1),(56,1)}
         8:{1,2,3,5,6}:{(22,1),(23,1),(48,1),(51,1),(57,1),(63,1),(100,1),(104,1),(105,1),(132,1)}
         9:{1,2,4,5}:{(1,1),(19,1),(24,1),(66,1),(92,1),(100,1)}
        10:{1,2,4,5}:{(2,1),(21,1),(25,1),(66,1),(95,1),(100,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(26,1),(27,1),(34,1),(83,1),(119,1)}
        12:{2,3,5,6}:{(5,1),(7,1),(28,1),(29,1),(34,1),(81,1),(118,1)}
        13:{4,5,6,7}:{(30,1),(114,1),(140,1)}
        14:{3,4,6,7}:{(3,1),(30,1),(31,1),(32,1),(75,1),(114,1),(116,1)}
        15:{1,4,5,7}:{(3,1),(4,1),(26,1),(31,1)}
        16:{2,4,5,7}:{(3,1),(5,1),(28,1),(32,1)}
        17:{1,2,4,5,6}:{(4,1),(5,1),(27,1),(29,1),(33,1),(34,1),(42,1),(70,1),(73,1),(87,1),(109,1),(137,1),(138,1),(139,1),(140,1)}
        18:{1,3,4,7}:{(6,1),(26,1),(35,1),(76,1)}
        19:{1,2,4,6}:{(6,1),(9,1),(27,1),(35,1),(36,1),(70,1)}
        20:{2,3,4,7}:{(7,1),(28,1),(37,1),(76,1)}
        21:{1,2,4,6}:{(7,1),(10,1),(29,1),(37,1),(38,1),(73,1)}
        22:{1,2,3,5,7}:{(8,1),(40,1),(41,1),(69,1),(72,1),(78,1),(85,1),(86,1),(117,1)}
        23:{1,2,4,6}:{(8,1),(39,1),(41,1),(42,1),(70,1),(73,1)}
        24:{2,3,5}:{(9,1),(36,1),(44,1)}
        25:{1,3,5}:{(10,1),(38,1),(45,1)}
        26:{1,3,5,7}:{(11,1),(15,1),(18,1),(46,1),(47,1),(55,1)}
        27:{1,2,5,6}:{(11,1),(19,1),(47,1),(48,1),(100,1),(132,1)}
        28:{2,3,5,7}:{(12,1),(16,1),(20,1),(49,1),(50,1),(55,1)}
        29:{1,2,5,6}:{(12,1),(21,1),(50,1),(51,1),(100,1),(132,1)}
        30:{3,5,6,7}:{(13,1),(14,1),(52,1),(53,1),(131,1)}
        31:{1,4,6,7}:{(14,1),(15,1),(46,1),(52,1),(129,1)}
        32:{2,4,6,7}:{(14,1),(16,1),(49,1),(53,1),(127,1)}
        33:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(47,1),(50,1),(54,1),(55,1),(91,1),(94,1),(126,1),(128,1),(130,1)}
        34:{3,5,6}:{(17,1),(55,1),(56,1),(63,1),(104,1),(123,1),(142,1)}
        35:{1,2,4,7}:{(18,1),(19,1),(47,1),(58,1),(91,1)}
        36:{2,3,6}:{(19,1),(24,1),(58,1)}
        37:{1,2,4,7}:{(20,1),(21,1),(50,1),(60,1),(94,1)}
        38:{1,3,6}:{(21,1),(25,1),(60,1)}
        39:{3,4,6}:{(23,1),(62,1),(63,1),(104,1)}
        40:{1,2,3,6,7}:{(22,1),(64,1),(90,1),(93,1),(104,1),(132,1)}
        41:{1,2,4,7}:{(22,1),(23,1),(62,1),(91,1),(94,1)}
        42:{1,2,4,5}:{(23,1),(63,1),(92,1),(95,1),(100,1)}
        43:{1,2,3,5}:{(24,1),(25,1),(57,1),(66,1),(100,1)}
        44:{2,3,4}:{(24,1),(66,1)}
        45:{1,3,4}:{(25,1),(66,1)}
        46:{1,3,6,7}:{(26,1),(31,1),(68,1),(75,1),(119,1)}
        47:{1,2,5,7}:{(26,1),(27,1),(35,1),(68,1),(69,1)}
        48:{2,3,5,6}:{(27,1),(34,1),(36,1),(69,1),(70,1),(81,1),(118,1),(138,1)}
        49:{2,3,6,7}:{(28,1),(32,1),(71,1),(75,1),(118,1)}
        50:{1,2,5,7}:{(28,1),(29,1),(37,1),(71,1),(72,1)}
        51:{1,3,5,6}:{(29,1),(34,1),(38,1),(72,1),(73,1),(83,1),(119,1),(139,1)}
        52:{1,5,6,7}:{(30,1),(31,1),(139,1)}
        53:{2,5,6,7}:{(30,1),(32,1),(138,1)}
        54:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(68,1),(71,1),(74,1),(75,1),(87,1),(110,1),(112,1),(114,1),(137,1)}
        55:{3,5,7}:{(33,1),(34,1),(75,1),(76,1)}
        56:{3,4,6}:{(34,1),(70,1),(73,1),(76,1),(77,1)}
        57:{1,2,3,6}:{(36,1),(38,1),(43,1),(78,1),(79,1)}
        58:{2,3,7}:{(35,1),(36,1)}
        59:{2,3,4,6}:{(36,1),(39,1),(44,1),(70,1),(79,1),(80,1),(81,1),(106,1),(118,1)}
        60:{1,3,7}:{(37,1),(38,1)}
        61:{1,3,4,6}:{(38,1),(39,1),(45,1),(73,1),(79,1),(82,1),(83,1),(106,1),(119,1)}
        62:{3,4,7}:{(39,1),(41,1),(85,1)}
        63:{3,5}:{(39,1),(42,1)}
        64:{1,2,4,6,7}:{(40,1),(41,1),(84,1),(86,1),(87,1),(110,1),(112,1)}
        65:{1,2,4,5,7}:{(41,1),(42,1),(85,1),(86,1),(87,1),(111,1),(113,1),(117,1),(120,1)}
        66:{1,2,4}:{(43,1),(44,1),(45,1)}
        67:{1,2,3,5,6}:{(48,1),(51,1),(57,1),(88,1),(89,1),(100,1),(123,1),(132,1),(142,1),(143,1)}
        68:{1,2,6,7}:{(46,1),(47,1),(90,1),(132,1)}
        69:{2,3,5,7}:{(47,1),(48,1),(55,1),(58,1),(90,1),(91,1),(126,1)}
        70:{2,4,6}:{(48,1),(56,1),(91,1),(92,1)}
        71:{1,2,6,7}:{(49,1),(50,1),(93,1),(132,1)}
        72:{1,3,5,7}:{(50,1),(51,1),(55,1),(60,1),(93,1),(94,1),(128,1)}
        73:{1,4,6}:{(51,1),(56,1),(94,1),(95,1)}
        74:{1,2,5,6,7}:{(52,1),(53,1),(54,1),(96,1),(105,1),(126,1),(128,1),(143,1)}
        75:{3,6,7}:{(54,1),(55,1),(104,1),(142,1)}
        76:{3,4,7}:{(55,1),(56,1),(91,1),(94,1)}
        77:{3,4,5}:{(56,1),(63,1),(92,1),(95,1),(123,1)}
        78:{1,2,3,7}:{(57,1),(58,1),(60,1),(99,1)}
        79:{1,2,4,6}:{(57,1),(59,1),(61,1),(66,1),(99,1),(100,1),(132,1)}
        80:{2,3,4,7}:{(58,1),(59,1),(62,1),(91,1),(99,1),(101,1),(122,1)}
        81:{2,3,5}:{(59,1),(63,1),(92,1),(100,1),(123,1)}
        82:{1,3,4,7}:{(60,1),(61,1),(62,1),(94,1),(99,1),(102,1),(122,1)}
        83:{1,3,5}:{(61,1),(63,1),(95,1),(100,1),(123,1)}
        84:{3,4,6,7}:{(62,1),(64,1),(103,1),(104,1),(133,1)}
        85:{3,5,7}:{(62,1),(63,1),(65,1),(104,1)}
        86:{1,2,5,7}:{(64,1),(103,1),(105,1),(126,1),(128,1)}
        87:{1,2,4,6}:{(65,1),(104,1),(105,1),(127,1),(129,1),(132,1),(133,1)}
        88:{1,2,3,5,7}:{(67,1),(69,1),(72,1),(78,1),(107,1),(108,1),(117,1),(135,1),(136,1)}
        89:{1,2,4,6}:{(67,1),(70,1),(73,1),(106,1),(108,1),(109,1)}
        90:{2,3,6,7}:{(68,1),(69,1),(75,1),(110,1),(118,1)}
        91:{2,4,7}:{(69,1),(70,1),(76,1)}
        92:{2,4,5}:{(70,1),(77,1),(81,1)}
        93:{1,3,6,7}:{(71,1),(72,1),(75,1),(112,1),(119,1)}
        94:{1,4,7}:{(72,1),(73,1),(76,1)}
        95:{1,4,5}:{(73,1),(77,1),(83,1)}
        96:{3,5,6,7}:{(74,1),(75,1),(114,1),(115,1),(121,1),(145,1)}
        97:{3,4,6,7}:{(75,1),(76,1),(110,1),(112,1),(114,1),(115,1),(116,1)}
        98:{3,4,5,7}:{(76,1),(77,1),(85,1),(111,1),(113,1),(115,1),(116,1),(120,1),(135,1),(144,1)}
        99:{1,2,4,7}:{(78,1),(79,1),(80,1),(82,1),(117,1)}
       100:{1,2,5}:{(79,1),(81,1),(83,1)}
       101:{2,3,5,7}:{(80,1),(81,1),(85,1),(111,1),(117,1),(118,1),(135,1)}
       102:{1,3,5,7}:{(82,1),(83,1),(85,1),(113,1),(117,1),(119,1),(135,1)}
       103:{3,5,7}:{(84,1),(86,1),(120,1),(121,1)}
       104:{3,6}:{(85,1),(87,1)}
       105:{1,2,5,6}:{(86,1),(87,1),(121,1),(138,1),(139,1)}
       106:{3,4,6}:{(89,1),(122,1),(123,1),(142,1)}
       107:{1,2,3,6,7}:{(88,1),(90,1),(93,1),(124,1),(132,1),(142,1)}
       108:{1,2,4,7}:{(88,1),(89,1),(91,1),(94,1),(122,1)}
       109:{1,2,4,5}:{(89,1),(92,1),(95,1),(100,1),(123,1)}
       110:{2,4,6,7}:{(90,1),(91,1),(97,1),(126,1),(127,1)}
       111:{2,4,5,7}:{(91,1),(92,1),(98,1),(101,1),(126,1),(127,1)}
       112:{1,4,6,7}:{(93,1),(94,1),(97,1),(128,1),(129,1)}
       113:{1,4,5,7}:{(94,1),(95,1),(98,1),(102,1),(128,1),(129,1)}
       114:{4,6,7}:{(96,1),(130,1),(133,1),(146,1)}
       115:{3,5,7}:{(97,1),(126,1),(128,1),(130,1),(131,1)}
       116:{3,4,6}:{(98,1),(104,1),(127,1),(129,1),(131,1),(133,1),(142,1),(146,1)}
       117:{1,2,5,7}:{(99,1),(100,1),(101,1),(102,1),(132,1)}
       118:{2,3,6}:{(101,1),(104,1),(127,1),(132,1),(142,1)}
       119:{1,3,6}:{(102,1),(104,1),(129,1),(132,1),(142,1)}
       120:{4,5,7}:{(103,1),(133,1)}
       121:{3,5,6}:{(103,1),(104,1),(105,1),(133,1)}
       122:{3,4,7}:{(106,1),(108,1),(135,1)}
       123:{3,5}:{(106,1),(109,1)}
       124:{1,2,4,6,7}:{(107,1),(108,1),(110,1),(112,1),(134,1),(136,1),(137,1)}
       125:{1,2,4,5,7}:{(108,1),(109,1),(111,1),(113,1),(117,1),(135,1),(136,1),(137,1),(144,1)}
       126:{2,5,7}:{(110,1),(115,1),(138,1)}
       127:{2,4,6}:{(111,1),(116,1),(118,1),(138,1)}
       128:{1,5,7}:{(112,1),(115,1),(139,1)}
       129:{1,4,6}:{(113,1),(116,1),(119,1),(139,1)}
       130:{4,5,7}:{(114,1),(115,1),(140,1)}
       131:{3,5,6}:{(115,1),(116,1),(138,1),(139,1),(140,1)}
       132:{1,2,6}:{(117,1),(118,1),(119,1)}
       133:{4,6}:{(120,1),(121,1)}
       134:{3,4,6,7}:{(122,1),(124,1),(141,1),(142,1),(146,1)}
       135:{3,5,7}:{(122,1),(123,1),(125,1),(142,1)}
       136:{1,2,5,7}:{(124,1),(126,1),(128,1),(141,1),(143,1)}
       137:{1,2,4,6}:{(125,1),(127,1),(129,1),(132,1),(142,1),(143,1),(146,1)}
       138:{2,5,6}:{(126,1),(127,1),(131,1)}
       139:{1,5,6}:{(128,1),(129,1),(131,1)}
       140:{4,5,6}:{(130,1),(131,1),(133,1),(146,1)}
       141:{3,5,7}:{(134,1),(136,1),(144,1),(145,1)}
       142:{3,6}:{(135,1),(137,1)}
       143:{1,2,5,6}:{(136,1),(137,1),(138,1),(139,1),(145,1)}
       144:{4,5,7}:{(141,1),(146,1)}
       145:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

1387 :   0:{1,2,3,6,7}:{(3,1),(4,1),(54,1),(55,1),(57,1),(88,1)}
         1:{1,2,3,5,6}:{(4,1),(5,1),(19,1),(20,1),(21,1),(23,1),(57,1),(60,1),(62,1),(88,1)}
         2:{1,2,4,5,6}:{(8,1),(9,1),(11,1),(32,1),(33,1),(37,1),(38,1),(63,1),(91,1),(92,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(10,1),(12,1),(38,1),(69,1),(70,1)}
         4:{1,2,3,5,7}:{(0,1),(1,1),(10,1),(12,1),(35,1),(36,1),(39,1),(76,1),(78,1)}
         5:{1,2,4,6}:{(1,1),(11,1),(12,1),(13,1),(32,1),(33,1)}
         6:{3,4,6,7}:{(3,1),(14,1),(24,1),(45,1),(57,1)}
         7:{1,2,5,6,7}:{(15,1),(17,1),(21,1),(84,1),(85,1)}
         8:{1,2,4,5,7}:{(2,1),(17,1),(18,1),(49,1),(51,1),(52,1),(56,1),(84,1),(85,1)}
         9:{3,5,6}:{(2,1),(16,1),(18,1),(23,1),(57,1)}
        10:{1,2,5,7}:{(3,1),(14,1),(21,1),(84,1),(85,1)}
        11:{1,2,4,5}:{(5,1),(23,1),(47,1),(48,1),(60,1)}
        12:{1,2,4,7}:{(4,1),(5,1),(24,1),(51,1),(52,1)}
        13:{3,4,6}:{(5,1),(23,1),(24,1),(57,1)}
        14:{3,5,7}:{(6,1),(10,1),(27,1),(28,1)}
        15:{3,5,6,7}:{(7,1),(27,1),(30,1),(34,1),(68,1)}
        16:{3,4,6}:{(9,1),(29,1),(31,1),(32,1),(33,1),(72,1)}
        17:{1,2,4,6,7}:{(7,1),(8,1),(30,1),(34,1),(38,1),(69,1),(70,1),(73,1)}
        18:{3,5,7}:{(8,1),(9,1),(31,1),(34,1)}
        19:{1,3,5,6}:{(9,1),(32,1),(35,1),(37,1),(40,1),(72,1),(74,1),(91,1),(105,1)}
        20:{2,3,5,6}:{(9,1),(33,1),(36,1),(37,1),(41,1),(72,1),(75,1),(92,1),(105,1)}
        21:{1,2,5,6}:{(10,1),(27,1),(38,1),(91,1),(92,1)}
        22:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(28,1),(38,1),(39,1),(65,1),(66,1),(76,1)}
        23:{3,5}:{(11,1),(13,1)}
        24:{3,4,7}:{(12,1),(13,1),(39,1)}
        25:{1,3,4,6}:{(13,1),(32,1),(40,1),(42,1),(44,1),(72,1),(74,1),(95,1),(106,1)}
        26:{2,3,4,6}:{(13,1),(33,1),(41,1),(43,1),(44,1),(72,1),(75,1),(95,1),(106,1)}
        27:{3,5,6}:{(14,1),(21,1),(45,1),(57,1)}
        28:{4,5,7}:{(14,1),(45,1)}
        29:{3,4,5}:{(16,1),(23,1),(47,1),(48,1),(83,1)}
        30:{4,6,7}:{(15,1),(45,1),(49,1)}
        31:{3,4,7}:{(16,1),(18,1),(51,1),(52,1),(87,1)}
        32:{1,4,6}:{(16,1),(19,1),(47,1),(51,1),(109,1)}
        33:{2,4,6}:{(16,1),(20,1),(48,1),(52,1),(109,1)}
        34:{3,6,7}:{(17,1),(18,1),(57,1)}
        35:{1,3,5,7}:{(18,1),(19,1),(51,1),(54,1),(56,1),(84,1),(87,1),(103,1)}
        36:{2,3,5,7}:{(18,1),(20,1),(52,1),(55,1),(56,1),(85,1),(87,1),(103,1)}
        37:{1,2,5,6}:{(19,1),(20,1),(53,1),(56,1),(60,1),(88,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(45,1),(57,1),(80,1),(81,1),(88,1)}
        39:{3,5,7}:{(22,1),(23,1),(24,1),(57,1)}
        40:{1,3,5}:{(23,1),(25,1),(47,1),(60,1),(83,1),(110,1)}
        41:{2,3,5}:{(23,1),(26,1),(48,1),(60,1),(83,1),(110,1)}
        42:{1,3,4,7}:{(24,1),(25,1),(51,1),(58,1),(61,1),(87,1),(102,1)}
        43:{2,3,4,7}:{(24,1),(26,1),(52,1),(59,1),(61,1),(87,1),(102,1)}
        44:{1,2,4,6}:{(25,1),(26,1),(60,1),(61,1),(62,1),(88,1),(90,1)}
        45:{4,6}:{(27,1),(28,1)}
        46:{3,4,5,7}:{(28,1),(29,1),(31,1),(39,1),(64,1),(65,1),(66,1),(68,1),(94,1),(107,1),(111,1)}
        47:{1,4,5}:{(29,1),(32,1),(40,1),(111,1)}
        48:{2,4,5}:{(29,1),(33,1),(41,1),(111,1)}
        49:{4,5,7}:{(30,1),(63,1),(68,1),(107,1)}
        50:{3,4,6,7}:{(30,1),(31,1),(34,1),(64,1),(68,1),(69,1),(70,1),(97,1),(107,1)}
        51:{1,4,7}:{(31,1),(32,1),(35,1),(107,1)}
        52:{2,4,7}:{(31,1),(33,1),(36,1),(107,1)}
        53:{1,2,4,6}:{(32,1),(33,1),(37,1),(67,1),(71,1),(72,1)}
        54:{1,3,6,7}:{(34,1),(35,1),(69,1),(73,1),(74,1),(97,1)}
        55:{2,3,6,7}:{(34,1),(36,1),(70,1),(73,1),(75,1),(97,1)}
        56:{1,2,5,7}:{(35,1),(36,1),(37,1),(71,1),(73,1)}
        57:{3,6}:{(38,1),(39,1)}
        58:{1,3,5,7}:{(39,1),(40,1),(42,1),(65,1),(74,1),(76,1),(94,1)}
        59:{2,3,5,7}:{(39,1),(41,1),(43,1),(66,1),(75,1),(76,1),(94,1)}
        60:{1,2,5}:{(40,1),(41,1),(44,1)}
        61:{1,2,4,7}:{(42,1),(43,1),(44,1),(76,1),(78,1)}
        62:{1,2,3,6}:{(44,1),(72,1),(77,1),(78,1)}
        63:{4,5,6}:{(45,1),(49,1),(79,1),(109,1)}
        64:{3,4,6}:{(45,1),(46,1),(57,1),(79,1),(80,1),(81,1),(101,1),(109,1)}
        65:{1,4,5,7}:{(46,1),(47,1),(51,1),(58,1),(80,1),(84,1)}
        66:{2,4,5,7}:{(46,1),(48,1),(52,1),(59,1),(81,1),(85,1)}
        67:{1,2,4,5}:{(47,1),(48,1),(53,1),(60,1),(83,1),(90,1)}
        68:{3,5,7}:{(49,1),(50,1),(79,1),(84,1),(85,1)}
        69:{1,4,6,7}:{(50,1),(51,1),(54,1),(80,1),(84,1)}
        70:{2,4,6,7}:{(50,1),(52,1),(55,1),(81,1),(85,1)}
        71:{1,2,4,7}:{(51,1),(52,1),(53,1),(56,1),(87,1)}
        72:{3,6}:{(53,1),(83,1),(87,1)}
        73:{1,2,6,7}:{(54,1),(55,1),(56,1),(88,1)}
        74:{1,3,6}:{(57,1),(58,1),(80,1),(88,1),(101,1)}
        75:{2,3,6}:{(57,1),(59,1),(81,1),(88,1),(101,1)}
        76:{1,2,5,7}:{(58,1),(59,1),(60,1),(61,1),(88,1)}
        77:{1,2,3,5}:{(60,1),(62,1),(83,1),(90,1)}
        78:{1,2,3,7}:{(61,1),(62,1),(87,1)}
        79:{3,5,6}:{(63,1),(64,1),(68,1),(91,1),(92,1)}
        80:{1,4,6}:{(64,1),(65,1),(74,1),(91,1)}
        81:{2,4,6}:{(64,1),(66,1),(75,1),(92,1)}
        82:{1,2,4,5,7}:{(65,1),(66,1),(67,1),(71,1),(76,1),(93,1),(94,1),(96,1),(99,1),(107,1),(108,1),(111,1)}
        83:{3,5}:{(67,1),(72,1),(95,1)}
        84:{1,5,7}:{(68,1),(69,1),(91,1)}
        85:{2,5,7}:{(68,1),(70,1),(92,1)}
        86:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(73,1),(93,1),(96,1),(97,1),(107,1)}
        87:{3,7}:{(71,1),(72,1)}
        88:{1,2,6}:{(74,1),(75,1),(76,1)}
        89:{1,2,3,5,7}:{(76,1),(77,1),(78,1),(94,1),(98,1),(99,1),(108,1)}
        90:{1,2,4}:{(77,1),(95,1)}
        91:{1,5,6}:{(79,1),(80,1),(84,1)}
        92:{2,5,6}:{(79,1),(81,1),(85,1)}
        93:{1,2,4,6}:{(80,1),(81,1),(82,1),(88,1),(100,1),(101,1),(109,1)}
        94:{3,5,7}:{(82,1),(83,1),(87,1),(101,1),(102,1),(110,1)}
        95:{3,4}:{(83,1),(90,1)}
        96:{1,2,5,7}:{(84,1),(85,1),(86,1),(100,1),(103,1)}
        97:{3,6,7}:{(86,1),(87,1),(101,1),(103,1)}
        98:{1,2,3,6}:{(88,1),(89,1),(101,1),(104,1)}
        99:{1,2,4,7}:{(89,1),(90,1),(102,1),(104,1)}
       100:{1,2,5,6}:{(91,1),(92,1),(93,1),(96,1),(105,1),(108,1)}
       101:{3,6}:{(93,1),(94,1)}
       102:{3,4,7}:{(94,1),(95,1),(99,1),(106,1),(107,1)}
       103:{3,5,7}:{(96,1),(97,1),(105,1),(107,1)}
       104:{1,2,4,6}:{(98,1),(99,1),(106,1),(108,1)}
       105:{3,5,6}:{(100,1),(101,1),(103,1),(109,1),(110,1)}
       106:{3,4,6}:{(101,1),(102,1),(104,1),(109,1),(110,1)}
       107:{4,7}:{(103,1),(109,1)}
       108:{1,2,5}:{(104,1),(110,1)}
       109:{4,6}:{(105,1),(107,1),(111,1)}
       110:{3,5}:{(106,1),(108,1),(111,1)}
       111:{4,5}:{(109,1),(110,1)}

1388 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(31,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(42,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(14,1),(34,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(7,1),(19,1),(38,1),(39,1),(42,1),(43,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(19,1)}
        7:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(47,1),(48,1)}
        8:{1,2,4,5,6}:{(5,1),(12,1),(14,1),(32,1),(33,1),(34,1)}
        9:{3,4,6}:{(5,1),(6,1),(14,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(29,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(30,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(19,1),(40,1),(41,1),(42,1)}
       13:{3,4,6,7}:{(7,1),(9,1),(19,1)}
       14:{3,5,6}:{(8,1),(9,1),(19,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(23,1),(25,1),(58,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(24,1),(25,1),(58,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(42,1),(57,1),(59,1)}
       18:{1,2,4,5,6,7}:{(12,1),(27,1),(47,1),(48,1),(49,1)}
       19:{3,5,7}:{(12,1),(13,1),(14,1)}
       20:{1,3,4,6,7}:{(13,1),(15,1),(29,1),(31,1),(47,1),(60,1),(61,1)}
       21:{2,3,4,6,7}:{(13,1),(16,1),(30,1),(31,1),(48,1),(60,1),(61,1)}
       22:{3,4,5,6}:{(14,1),(28,1),(32,1),(33,1),(52,1)}
       23:{1,3,5,6}:{(14,1),(15,1),(29,1),(32,1),(34,1),(52,1)}
       24:{2,3,5,6}:{(14,1),(16,1),(30,1),(33,1),(34,1),(52,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,5,6,7}:{(18,1),(19,1),(37,1)}
       28:{3,4,5,7}:{(19,1),(22,1),(37,1),(40,1),(41,1),(56,1)}
       29:{1,3,5,7}:{(19,1),(20,1),(23,1),(40,1),(42,1),(56,1)}
       30:{2,3,5,7}:{(19,1),(21,1),(24,1),(41,1),(42,1),(56,1)}
       31:{1,2,4,6,7}:{(20,1),(21,1),(25,1),(42,1),(43,1),(57,1)}
       32:{1,4,5,6}:{(22,1),(23,1),(40,1)}
       33:{2,4,5,6}:{(22,1),(24,1),(41,1)}
       34:{1,2,5,6}:{(23,1),(24,1),(25,1),(42,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(57,1)}
       37:{3,4,6,7}:{(27,1),(28,1),(47,1),(48,1),(60,1)}
       38:{1,3,5,6,7}:{(27,1),(29,1),(47,1),(49,1),(60,1)}
       39:{2,3,5,6,7}:{(27,1),(30,1),(48,1),(49,1),(60,1)}
       40:{1,4,5,7}:{(28,1),(29,1),(32,1),(47,1)}
       41:{2,4,5,7}:{(28,1),(30,1),(33,1),(48,1)}
       42:{1,2,5,7}:{(29,1),(30,1),(31,1),(34,1)}
       43:{1,2,3,6,7}:{(31,1),(35,1),(51,1),(60,1)}
       44:{1,2,4,5,6}:{(32,1),(33,1),(34,1),(50,1),(52,1),(53,1)}
       45:{1,2,3,5,6}:{(34,1),(35,1),(51,1),(52,1),(53,1),(54,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(40,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(41,1)}
       49:{1,2,5,6,7}:{(38,1),(39,1),(42,1),(55,1)}
       50:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(44,1),(55,1),(56,1),(57,1)}
       51:{1,2,3,5,7}:{(42,1),(43,1),(45,1),(56,1),(57,1)}
       52:{3,5,6}:{(44,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(45,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(50,1),(60,1)}
       56:{3,5,7}:{(50,1),(52,1),(60,1),(61,1)}
       57:{1,2,4,7}:{(51,1),(53,1),(61,1)}
       58:{3,4,6}:{(52,1),(53,1),(61,1),(62,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(58,1),(59,1)}

1389 :   0:{1,3,4,5,7}:{(2,1),(3,1),(15,1),(23,1),(68,1),(110,1),(114,1),(120,1),(167,1),(171,1)}
         1:{2,3,4,5,7}:{(4,1),(5,1),(17,1),(19,1),(64,1),(109,1),(115,1),(124,1),(167,1),(174,1)}
         2:{1,2,4,5,7}:{(0,1),(8,1),(9,1),(32,1),(37,1),(83,1),(90,1),(92,1)}
         3:{1,3,4,6}:{(0,1),(9,1),(10,1),(93,1),(144,1),(187,1),(191,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(35,1),(37,1),(87,1),(90,1),(96,1)}
         5:{2,3,4,6}:{(1,1),(12,1),(13,1),(97,1),(139,1),(187,1),(193,1)}
         6:{1,3,4,6,7}:{(3,1),(14,1),(15,1),(48,1),(101,1),(110,1),(160,1)}
         7:{2,3,4,6,7}:{(5,1),(16,1),(17,1),(50,1),(104,1),(115,1),(164,1)}
         8:{2,3,5,7}:{(2,1),(19,1),(20,1),(64,1),(167,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(20,1),(21,1),(65,1)}
        10:{1,3,5,6}:{(3,1),(15,1),(21,1),(22,1),(66,1),(68,1),(199,1)}
        11:{1,3,5,7}:{(4,1),(23,1),(24,1),(68,1),(167,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(24,1),(25,1),(69,1)}
        13:{2,3,5,6}:{(5,1),(17,1),(25,1),(26,1),(64,1),(70,1),(200,1)}
        14:{1,2,4,6,7}:{(6,1),(9,1),(31,1),(32,1),(83,1)}
        15:{1,3,5,7}:{(6,1),(10,1),(32,1),(33,1),(84,1),(184,1)}
        16:{1,2,4,6,7}:{(7,1),(12,1),(34,1),(35,1),(87,1)}
        17:{2,3,5,7}:{(7,1),(13,1),(35,1),(36,1),(88,1),(186,1)}
        18:{1,2,3,5,7}:{(8,1),(11,1),(37,1),(38,1),(90,1)}
        19:{2,3,4,7}:{(8,1),(37,1),(39,1),(83,1),(138,1)}
        20:{2,3,6}:{(8,1),(9,1),(187,1)}
        21:{1,2,5,6}:{(9,1),(10,1),(32,1),(40,1),(90,1)}
        22:{1,4,5,6}:{(10,1),(33,1),(42,1),(96,1),(144,1)}
        23:{1,3,4,7}:{(11,1),(37,1),(43,1),(87,1),(138,1)}
        24:{1,3,6}:{(11,1),(12,1),(187,1)}
        25:{1,2,5,6}:{(12,1),(13,1),(35,1),(44,1),(90,1)}
        26:{2,4,5,6}:{(13,1),(36,1),(46,1),(92,1),(139,1)}
        27:{1,3,5,6,7}:{(15,1),(47,1),(48,1),(51,1),(101,1),(113,1)}
        28:{2,3,5,6,7}:{(17,1),(49,1),(50,1),(52,1),(104,1),(108,1)}
        29:{1,4,5,6,7}:{(48,1),(51,1),(162,1)}
        30:{2,4,5,6,7}:{(50,1),(52,1),(158,1)}
        31:{2,3,6,7}:{(14,1),(20,1),(55,1),(101,1)}
        32:{1,2,5,7}:{(14,1),(15,1),(21,1),(55,1)}
        33:{1,4,5,7}:{(15,1),(22,1),(48,1),(57,1)}
        34:{1,3,6,7}:{(16,1),(24,1),(59,1),(104,1)}
        35:{1,2,5,7}:{(16,1),(17,1),(25,1),(59,1)}
        36:{2,4,5,7}:{(17,1),(26,1),(50,1),(61,1)}
        37:{1,2,4,7}:{(18,1),(19,1),(23,1),(62,1)}
        38:{1,2,3,6}:{(18,1),(20,1),(24,1),(62,1)}
        39:{2,3,4,6}:{(19,1),(20,1),(62,1),(64,1),(65,1),(119,1)}
        40:{2,3,5,6}:{(20,1),(21,1),(55,1),(64,1),(65,1),(66,1)}
        41:{1,2,4,5,6}:{(21,1),(22,1),(56,1),(65,1),(66,1),(67,1),(118,1),(121,1),(123,1),(158,1),(166,1),(199,1)}
        42:{3,4,5,6}:{(22,1),(57,1),(66,1),(67,1),(124,1),(173,1)}
        43:{1,3,4,6}:{(23,1),(24,1),(62,1),(68,1),(69,1),(119,1)}
        44:{1,3,5,6}:{(24,1),(25,1),(59,1),(68,1),(69,1),(70,1)}
        45:{1,2,4,5,6}:{(25,1),(26,1),(60,1),(69,1),(70,1),(71,1),(118,1),(126,1),(127,1),(162,1),(166,1),(200,1)}
        46:{3,4,5,6}:{(26,1),(61,1),(70,1),(71,1),(120,1),(170,1)}
        47:{1,2,5,6,7}:{(27,1),(32,1),(72,1),(73,1),(78,1),(136,1),(184,1)}
        48:{1,4,6,7}:{(27,1),(33,1),(74,1),(144,1)}
        49:{1,2,5,6,7}:{(28,1),(35,1),(75,1),(76,1),(79,1),(136,1),(186,1)}
        50:{2,4,6,7}:{(28,1),(36,1),(77,1),(139,1)}
        51:{3,5,6,7}:{(29,1),(74,1),(78,1),(185,1)}
        52:{3,5,6,7}:{(30,1),(77,1),(79,1),(183,1)}
        53:{1,2,3,6,7}:{(31,1),(34,1),(38,1),(80,1),(81,1),(130,1),(135,1),(187,1),(208,1)}
        54:{2,3,4,6,7}:{(31,1),(39,1),(80,1),(82,1),(83,1),(129,1),(138,1),(139,1),(187,1)}
        55:{2,3,5,7}:{(31,1),(32,1),(40,1),(83,1),(84,1)}
        56:{1,2,4,5,7}:{(32,1),(33,1),(41,1),(73,1),(83,1),(84,1),(85,1),(128,1),(141,1),(143,1),(184,1)}
        57:{3,4,5,7}:{(33,1),(42,1),(74,1),(84,1),(85,1)}
        58:{1,3,4,6,7}:{(34,1),(43,1),(80,1),(86,1),(87,1),(133,1),(138,1),(144,1),(187,1)}
        59:{1,3,5,7}:{(34,1),(35,1),(44,1),(87,1),(88,1)}
        60:{1,2,4,5,7}:{(35,1),(36,1),(45,1),(76,1),(87,1),(88,1),(89,1),(132,1),(147,1),(148,1),(186,1)}
        61:{3,4,5,7}:{(36,1),(46,1),(77,1),(88,1),(89,1)}
        62:{1,2,4,6}:{(37,1),(38,1),(39,1),(43,1),(90,1)}
        63:{1,2,3,5,6}:{(38,1),(40,1),(44,1),(81,1),(90,1),(91,1),(94,1),(99,1),(136,1),(149,1),(187,1),(195,1),(196,1),(208,1)}
        64:{2,3,5}:{(39,1),(90,1),(92,1),(149,1)}
        65:{2,4,6}:{(40,1),(83,1),(92,1),(93,1)}
        66:{3,5,6}:{(41,1),(84,1),(93,1),(149,1),(187,1)}
        67:{2,4,5,6}:{(42,1),(85,1),(95,1),(156,1),(193,1)}
        68:{1,3,5}:{(43,1),(90,1),(96,1),(149,1)}
        69:{1,4,6}:{(44,1),(87,1),(96,1),(97,1)}
        70:{3,5,6}:{(45,1),(88,1),(97,1),(149,1),(187,1)}
        71:{1,4,5,6}:{(46,1),(89,1),(98,1),(152,1),(191,1)}
        72:{2,3,5,6,7}:{(47,1),(55,1),(100,1),(101,1),(108,1),(159,1)}
        73:{1,2,4,6,7}:{(47,1),(48,1),(56,1),(100,1),(101,1),(102,1),(160,1),(161,1),(166,1)}
        74:{3,4,6,7}:{(48,1),(51,1),(57,1),(101,1),(102,1),(173,1)}
        75:{1,3,5,6,7}:{(49,1),(59,1),(103,1),(104,1),(113,1),(163,1)}
        76:{1,2,4,6,7}:{(49,1),(50,1),(60,1),(103,1),(104,1),(105,1),(164,1),(165,1),(166,1)}
        77:{3,4,6,7}:{(50,1),(52,1),(61,1),(104,1),(105,1),(170,1)}
        78:{2,5,6,7}:{(51,1),(102,1),(200,1)}
        79:{1,5,6,7}:{(52,1),(105,1),(199,1)}
        80:{1,2,4,6,7}:{(53,1),(54,1),(58,1),(62,1),(106,1),(107,1),(160,1),(164,1),(166,1)}
        81:{1,2,3,5,7}:{(53,1),(55,1),(59,1),(63,1),(106,1),(107,1),(111,1),(117,1),(167,1),(203,1),(204,1)}
        82:{2,3,5,7}:{(54,1),(64,1),(106,1),(108,1),(109,1),(159,1),(167,1)}
        83:{2,4,7}:{(55,1),(65,1),(110,1)}
        84:{3,5,7}:{(56,1),(66,1),(101,1),(110,1)}
        85:{2,4,5,7}:{(57,1),(67,1),(102,1),(112,1)}
        86:{1,3,5,7}:{(58,1),(68,1),(106,1),(113,1),(114,1),(163,1),(167,1)}
        87:{1,4,7}:{(59,1),(69,1),(115,1)}
        88:{3,5,7}:{(60,1),(70,1),(104,1),(115,1)}
        89:{1,4,5,7}:{(61,1),(71,1),(105,1),(116,1)}
        90:{1,2,5}:{(62,1),(64,1),(68,1)}
        91:{1,2,4,6}:{(63,1),(65,1),(69,1),(107,1),(118,1),(119,1),(121,1),(126,1)}
        92:{2,4,5}:{(64,1),(65,1),(120,1)}
        93:{3,4,6}:{(65,1),(66,1),(110,1),(120,1),(121,1)}
        94:{1,3,5,6}:{(66,1),(111,1),(121,1),(123,1),(176,1),(180,1),(199,1),(201,1)}
        95:{2,3,5,6}:{(66,1),(67,1),(112,1),(122,1),(123,1),(177,1),(202,1)}
        96:{1,4,5}:{(68,1),(69,1),(124,1)}
        97:{3,4,6}:{(69,1),(70,1),(115,1),(124,1),(126,1)}
        98:{1,3,5,6}:{(70,1),(71,1),(116,1),(125,1),(127,1),(176,1),(201,1)}
        99:{2,3,5,6}:{(70,1),(117,1),(126,1),(127,1),(177,1),(182,1),(200,1),(202,1)}
       100:{2,4,6,7}:{(72,1),(83,1),(128,1),(129,1),(139,1)}
       101:{3,6,7}:{(73,1),(84,1),(187,1)}
       102:{2,4,6,7}:{(74,1),(78,1),(85,1),(131,1),(193,1)}
       103:{1,4,6,7}:{(75,1),(87,1),(132,1),(133,1),(144,1)}
       104:{3,6,7}:{(76,1),(88,1),(187,1)}
       105:{1,4,6,7}:{(77,1),(79,1),(89,1),(134,1),(191,1)}
       106:{1,2,5,7}:{(80,1),(82,1),(86,1),(90,1),(136,1),(184,1),(186,1)}
       107:{1,2,4,7}:{(81,1),(83,1),(87,1),(91,1),(138,1),(141,1),(147,1)}
       108:{2,3,5,6}:{(82,1),(136,1),(139,1),(183,1),(187,1)}
       109:{2,4,5,7}:{(82,1),(83,1),(92,1),(139,1),(140,1)}
       110:{3,4,7}:{(83,1),(84,1),(93,1),(141,1)}
       111:{1,3,5,7}:{(84,1),(94,1),(130,1),(141,1),(143,1),(184,1),(192,1)}
       112:{2,3,5,7}:{(84,1),(85,1),(95,1),(131,1),(142,1),(143,1)}
       113:{1,3,5,6}:{(86,1),(136,1),(144,1),(185,1),(187,1)}
       114:{1,4,5,7}:{(86,1),(87,1),(96,1),(144,1),(145,1)}
       115:{3,4,7}:{(87,1),(88,1),(97,1),(147,1)}
       116:{1,3,5,7}:{(88,1),(89,1),(98,1),(134,1),(146,1),(148,1)}
       117:{2,3,5,7}:{(88,1),(99,1),(135,1),(147,1),(148,1),(186,1),(194,1)}
       118:{1,2,4,5}:{(90,1),(91,1),(92,1),(96,1),(149,1),(152,1),(156,1),(195,1)}
       119:{3,4,6}:{(91,1),(138,1),(149,1),(187,1)}
       120:{3,4,5}:{(92,1),(93,1),(149,1),(152,1)}
       121:{1,4,6}:{(93,1),(94,1),(141,1),(152,1)}
       122:{2,3,4,6}:{(93,1),(95,1),(142,1),(153,1),(154,1)}
       123:{1,2,5,6}:{(94,1),(95,1),(143,1),(154,1),(195,1),(208,1)}
       124:{3,4,5}:{(96,1),(97,1),(149,1),(156,1)}
       125:{1,3,4,6}:{(97,1),(98,1),(146,1),(155,1),(157,1)}
       126:{2,4,6}:{(97,1),(99,1),(147,1),(156,1)}
       127:{1,2,5,6}:{(98,1),(99,1),(148,1),(157,1),(195,1),(208,1)}
       128:{2,4,5,7}:{(100,1),(158,1),(159,1)}
       129:{3,4,6,7}:{(100,1),(101,1),(110,1),(159,1),(160,1),(170,1)}
       130:{1,3,6,7}:{(101,1),(111,1),(160,1),(161,1),(201,1)}
       131:{2,3,6,7}:{(101,1),(102,1),(112,1),(161,1),(202,1)}
       132:{1,4,5,7}:{(103,1),(162,1),(163,1)}
       133:{3,4,6,7}:{(103,1),(104,1),(115,1),(163,1),(164,1),(173,1)}
       134:{1,3,6,7}:{(104,1),(105,1),(116,1),(165,1),(201,1)}
       135:{2,3,6,7}:{(104,1),(117,1),(164,1),(165,1),(202,1)}
       136:{1,2,5,6}:{(106,1),(108,1),(113,1),(166,1),(199,1),(200,1)}
       137:{1,2,4,5,7}:{(106,1),(107,1),(109,1),(114,1),(118,1),(166,1),(167,1),(171,1),(174,1),(203,1)}
       138:{3,4,7}:{(107,1),(119,1),(167,1)}
       139:{2,4,6}:{(108,1),(109,1),(170,1)}
       140:{3,4,5,7}:{(109,1),(110,1),(120,1),(159,1),(167,1),(170,1),(171,1)}
       141:{1,4,7}:{(110,1),(111,1),(121,1)}
       142:{2,3,4,7}:{(110,1),(112,1),(122,1),(172,1)}
       143:{1,2,5,7}:{(111,1),(112,1),(123,1),(161,1),(172,1)}
       144:{1,4,6}:{(113,1),(114,1),(173,1)}
       145:{3,4,5,7}:{(114,1),(115,1),(124,1),(163,1),(167,1),(173,1),(174,1)}
       146:{1,3,4,7}:{(115,1),(116,1),(125,1),(175,1)}
       147:{2,4,7}:{(115,1),(117,1),(126,1)}
       148:{1,2,5,7}:{(116,1),(117,1),(127,1),(165,1),(175,1)}
       149:{3,5}:{(118,1),(119,1)}
       150:{1,3,4,6}:{(119,1),(121,1),(168,1),(176,1),(178,1),(180,1),(201,1),(206,1)}
       151:{2,3,4,6}:{(119,1),(126,1),(169,1),(177,1),(178,1),(182,1),(202,1),(207,1)}
       152:{1,4,5}:{(120,1),(121,1),(176,1)}
       153:{2,3,4,5}:{(120,1),(122,1),(177,1),(179,1),(207,1)}
       154:{1,2,4,6}:{(121,1),(122,1),(123,1),(172,1),(179,1),(180,1)}
       155:{1,3,4,5}:{(124,1),(125,1),(176,1),(181,1),(206,1)}
       156:{2,4,5}:{(124,1),(126,1),(177,1)}
       157:{1,2,4,6}:{(125,1),(126,1),(127,1),(175,1),(181,1),(182,1)}
       158:{2,4,5,6}:{(128,1),(139,1),(183,1)}
       159:{3,5,7}:{(128,1),(129,1),(183,1),(184,1)}
       160:{1,4,6,7}:{(129,1),(130,1),(141,1),(184,1),(191,1)}
       161:{1,2,6,7}:{(130,1),(131,1),(143,1),(208,1)}
       162:{1,4,5,6}:{(132,1),(144,1),(185,1)}
       163:{3,5,7}:{(132,1),(133,1),(185,1),(186,1)}
       164:{2,4,6,7}:{(133,1),(135,1),(147,1),(186,1),(193,1)}
       165:{1,2,6,7}:{(134,1),(135,1),(148,1),(208,1)}
       166:{1,2,4,6}:{(136,1),(137,1),(139,1),(144,1),(187,1),(191,1),(193,1),(208,1)}
       167:{3,5,7}:{(137,1),(138,1),(149,1),(187,1)}
       168:{1,3,4,7}:{(138,1),(141,1),(150,1),(188,1),(190,1),(192,1)}
       169:{2,3,4,7}:{(138,1),(147,1),(151,1),(189,1),(190,1),(194,1)}
       170:{3,4,6}:{(139,1),(140,1),(183,1),(187,1),(191,1)}
       171:{1,4,5,7}:{(140,1),(141,1),(152,1),(184,1),(188,1),(191,1)}
       172:{1,2,4,7}:{(141,1),(142,1),(143,1),(154,1),(192,1)}
       173:{3,4,6}:{(144,1),(145,1),(185,1),(187,1),(193,1)}
       174:{2,4,5,7}:{(145,1),(147,1),(156,1),(186,1),(189,1),(193,1)}
       175:{1,2,4,7}:{(146,1),(147,1),(148,1),(157,1),(194,1)}
       176:{1,3,5}:{(149,1),(150,1),(152,1),(195,1)}
       177:{2,3,5}:{(149,1),(151,1),(156,1),(195,1)}
       178:{1,2,4,6}:{(150,1),(151,1),(190,1),(195,1),(196,1),(208,1),(209,1)}
       179:{1,2,4,5}:{(152,1),(153,1),(154,1),(195,1),(197,1),(209,1)}
       180:{1,3,6}:{(154,1),(192,1),(197,1)}
       181:{1,2,4,5}:{(155,1),(156,1),(157,1),(195,1),(198,1),(209,1)}
       182:{2,3,6}:{(157,1),(194,1),(198,1)}
       183:{3,5,6}:{(158,1),(159,1),(170,1),(199,1)}
       184:{1,5,7}:{(159,1),(160,1),(199,1)}
       185:{3,5,6}:{(162,1),(163,1),(173,1),(200,1)}
       186:{2,5,7}:{(163,1),(164,1),(200,1)}
       187:{3,6}:{(166,1),(167,1)}
       188:{1,3,5,7}:{(167,1),(168,1),(171,1),(176,1),(201,1),(203,1)}
       189:{2,3,5,7}:{(167,1),(169,1),(174,1),(177,1),(202,1),(203,1)}
       190:{1,2,4,7}:{(168,1),(169,1),(178,1),(203,1),(204,1)}
       191:{1,4,6}:{(170,1),(171,1),(199,1),(201,1)}
       192:{1,3,7}:{(172,1),(180,1)}
       193:{2,4,6}:{(173,1),(174,1),(200,1),(202,1)}
       194:{2,3,7}:{(175,1),(182,1)}
       195:{1,2,5}:{(176,1),(177,1),(178,1)}
       196:{1,2,3,6}:{(178,1),(180,1),(182,1),(204,1),(205,1)}
       197:{1,3,5}:{(179,1),(180,1),(206,1)}
       198:{2,3,5}:{(181,1),(182,1),(207,1)}
       199:{1,5,6}:{(183,1),(184,1),(191,1)}
       200:{2,5,6}:{(185,1),(186,1),(193,1)}
       201:{1,3,6}:{(187,1),(188,1),(191,1),(208,1)}
       202:{2,3,6}:{(187,1),(189,1),(193,1),(208,1)}
       203:{1,2,5,7}:{(188,1),(189,1),(190,1),(195,1),(208,1)}
       204:{1,2,3,7}:{(190,1),(192,1),(194,1),(196,1)}
       205:{1,2,3,5}:{(195,1),(196,1),(197,1),(198,1),(209,1)}
       206:{1,3,4}:{(197,1),(209,1)}
       207:{2,3,4}:{(198,1),(209,1)}
       208:{1,2,6}:{(201,1),(202,1),(203,1)}
       209:{1,2,4}:{(205,1),(206,1),(207,1)}

1390 :   0:{1,2,3,4,6}:{(1,1),(2,1),(8,1),(9,1),(21,1),(52,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(17,1),(67,1)}
         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)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(19,1),(27,1),(47,1),(52,1)}
         6:{3,4,5}:{(3,1),(15,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1),(41,1)}
         8:{1,2,4,6}:{(3,1),(5,1),(15,1),(17,1)}
         9:{1,2,3,6}:{(4,1),(16,1)}
        10:{1,2,3,5,7}:{(5,1),(17,1),(18,1),(33,1),(41,1),(63,1),(67,1)}
        11:{1,2,4,5,6}:{(8,1),(19,1),(20,1),(27,1),(42,1),(43,1),(47,1),(54,1)}
        12:{2,3,4,5}:{(6,1),(22,1),(23,1),(69,1)}
        13:{1,3,4,5}:{(6,1),(22,1),(24,1),(69,1)}
        14:{3,4,5,7}:{(6,1),(7,1),(25,1),(26,1),(55,1)}
        15:{3,4,6}:{(6,1),(8,1),(19,1),(26,1)}
        16:{1,2,4,6}:{(7,1),(9,1),(25,1),(27,1)}
        17:{1,2,4,7}:{(8,1),(10,1),(26,1)}
        18:{1,2,3,6,7}:{(9,1),(10,1),(28,1),(50,1),(79,1)}
        19:{3,5,6}:{(11,1),(15,1),(33,1)}
        20:{1,2,4,5,7}:{(11,1),(17,1),(33,1),(34,1),(41,1),(57,1),(58,1),(63,1),(68,1)}
        21:{1,2,3,4}:{(35,1)}
        22:{1,2,4,5}:{(12,1),(13,1),(35,1),(36,1)}
        23:{2,3,4,6}:{(12,1),(15,1),(31,1),(36,1),(37,1),(82,1)}
        24:{1,3,4,6}:{(13,1),(15,1),(32,1),(36,1),(38,1),(82,1)}
        25:{3,4,6}:{(14,1),(16,1),(39,1)}
        26:{3,4,7}:{(15,1),(17,1),(33,1)}
        27:{1,2,5,6}:{(16,1),(39,1),(41,1)}
        28:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(40,1),(41,1)}
        29:{3,4,5,6}:{(19,1),(42,1),(43,1),(44,1),(54,1),(70,1),(101,1)}
        30:{1,2,3,4,6}:{(21,1),(45,1),(46,1),(52,1),(76,1),(77,1)}
        31:{2,3,5,6}:{(19,1),(23,1),(42,1),(47,1),(48,1),(70,1)}
        32:{1,3,5,6}:{(19,1),(24,1),(43,1),(47,1),(49,1),(70,1)}
        33:{3,5,7}:{(19,1),(20,1),(26,1),(50,1)}
        34:{1,2,4,6,7}:{(20,1),(50,1),(51,1),(72,1),(73,1),(79,1),(80,1)}
        35:{1,2,3,5}:{(21,1),(22,1),(52,1)}
        36:{1,2,4,6}:{(22,1),(23,1),(24,1),(47,1),(52,1),(53,1)}
        37:{2,3,4,7}:{(23,1),(26,1),(48,1),(53,1),(92,1)}
        38:{1,3,4,7}:{(24,1),(26,1),(49,1),(53,1),(92,1)}
        39:{3,5,6}:{(25,1),(27,1),(54,1),(55,1)}
        40:{3,4,6,7}:{(25,1),(26,1),(28,1),(50,1),(55,1),(80,1)}
        41:{1,2,5,7}:{(27,1),(28,1),(55,1)}
        42:{2,4,5,6}:{(29,1),(31,1),(57,1)}
        43:{1,4,5,6}:{(29,1),(32,1),(58,1)}
        44:{3,4,5,7}:{(29,1),(33,1),(57,1),(58,1),(59,1),(68,1),(83,1),(104,1)}
        45:{1,2,3,4,7}:{(30,1),(61,1),(67,1),(89,1)}
        46:{1,2,3,5}:{(30,1),(60,1)}
        47:{1,2,5,6}:{(31,1),(32,1),(36,1),(63,1)}
        48:{2,3,5,7}:{(31,1),(33,1),(37,1),(57,1),(63,1),(64,1),(83,1)}
        49:{1,3,5,7}:{(32,1),(33,1),(38,1),(58,1),(63,1),(65,1),(83,1)}
        50:{3,6,7}:{(33,1),(34,1)}
        51:{1,2,5,6,7}:{(34,1),(41,1),(66,1),(85,1),(86,1)}
        52:{1,2,3,6}:{(35,1),(36,1),(67,1)}
        53:{1,2,4,7}:{(36,1),(37,1),(38,1),(63,1),(67,1)}
        54:{4,5,6}:{(39,1),(68,1)}
        55:{3,5,7}:{(39,1),(40,1),(41,1),(68,1)}
        56:{1,2,4,5,6}:{(42,1),(43,1),(47,1),(70,1),(71,1),(76,1),(95,1),(101,1)}
        57:{2,4,5,7}:{(42,1),(44,1),(48,1),(72,1)}
        58:{1,4,5,7}:{(43,1),(44,1),(49,1),(73,1)}
        59:{3,4,6,7}:{(44,1),(50,1),(72,1),(73,1),(74,1),(80,1),(93,1),(103,1)}
        60:{1,2,4,5}:{(46,1),(69,1),(76,1)}
        61:{1,2,3,5,7}:{(45,1),(46,1),(75,1),(77,1)}
        62:{1,2,3,5,6}:{(46,1),(47,1),(52,1),(70,1),(76,1),(77,1),(78,1),(95,1)}
        63:{1,2,5,7}:{(47,1),(48,1),(49,1),(53,1),(79,1)}
        64:{2,3,6,7}:{(48,1),(50,1),(72,1),(79,1),(93,1)}
        65:{1,3,6,7}:{(49,1),(50,1),(73,1),(79,1),(93,1)}
        66:{3,5,6,7}:{(50,1),(51,1),(55,1),(80,1)}
        67:{1,2,3,7}:{(52,1),(53,1)}
        68:{4,5,7}:{(54,1),(55,1),(80,1)}
        69:{3,4,5}:{(60,1),(82,1)}
        70:{3,5,6}:{(56,1),(82,1),(83,1)}
        71:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(63,1),(83,1),(84,1),(89,1),(100,1),(104,1)}
        72:{2,4,6,7}:{(57,1),(59,1),(64,1),(85,1)}
        73:{1,4,6,7}:{(58,1),(59,1),(65,1),(86,1)}
        74:{3,5,6,7}:{(59,1),(85,1),(86,1),(87,1)}
        75:{1,2,4,5,7}:{(60,1),(61,1),(81,1),(88,1),(89,1),(100,1)}
        76:{1,2,4,6}:{(60,1),(62,1),(82,1),(89,1)}
        77:{1,2,3,6}:{(61,1),(88,1)}
        78:{1,2,3,5,7}:{(62,1),(63,1),(67,1),(83,1),(89,1),(90,1),(100,1)}
        79:{1,2,6,7}:{(63,1),(64,1),(65,1)}
        80:{4,6,7}:{(66,1),(68,1)}
        81:{3,4,5,7}:{(69,1),(75,1),(91,1),(92,1),(102,1)}
        82:{3,4,6}:{(69,1),(70,1),(76,1),(92,1)}
        83:{3,5,7}:{(70,1),(71,1),(92,1),(93,1)}
        84:{1,2,4,6,7}:{(71,1),(72,1),(73,1),(79,1),(93,1),(94,1),(103,1)}
        85:{2,5,6,7}:{(72,1),(74,1)}
        86:{1,5,6,7}:{(73,1),(74,1)}
        87:{4,5,6,7}:{(74,1),(80,1),(103,1)}
        88:{1,2,4,6}:{(75,1),(77,1),(91,1),(95,1)}
        89:{1,2,4,7}:{(76,1),(78,1),(92,1)}
        90:{1,2,3,6,7}:{(77,1),(78,1),(79,1),(93,1),(96,1)}
        91:{3,4,6}:{(81,1),(88,1),(97,1)}
        92:{3,4,7}:{(82,1),(83,1),(89,1)}
        93:{3,6,7}:{(83,1),(84,1)}
        94:{1,2,5,6,7}:{(84,1),(85,1),(86,1),(99,1),(100,1)}
        95:{1,2,5,6}:{(88,1),(97,1),(100,1)}
        96:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(98,1),(100,1)}
        97:{3,5,6}:{(91,1),(95,1),(101,1),(102,1)}
        98:{3,4,6,7}:{(91,1),(92,1),(93,1),(96,1),(102,1),(103,1)}
        99:{3,5,6,7}:{(93,1),(94,1),(102,1),(103,1)}
       100:{1,2,5,7}:{(95,1),(96,1),(102,1)}
       101:{4,5,6}:{(97,1),(104,1)}
       102:{3,5,7}:{(97,1),(98,1),(100,1),(104,1)}
       103:{4,6,7}:{(99,1),(104,1)}
       104:{4,5,7}:{(101,1),(102,1),(103,1)}

1391 :   0:{1,2,3,4,7}:{(1,1),(2,1),(24,1),(70,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(15,1),(30,1),(57,1)}
         2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1)}
         3:{1,2,4,5,7}:{(2,1),(6,1),(7,1),(8,1),(20,1),(24,1)}
         4:{1,2,3,5}:{(1,1),(8,1)}
         5:{1,2,3,6}:{(2,1),(7,1)}
         6:{3,4,5,7}:{(3,1),(11,1),(14,1),(26,1),(34,1)}
         7:{1,2,4,6}:{(3,1),(5,1),(11,1),(12,1)}
         8:{1,2,4,5}:{(4,1),(14,1),(15,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(16,1),(28,1),(54,1),(57,1)}
        10:{1,2,3,6,7}:{(5,1),(13,1),(16,1),(52,1),(79,1)}
        11:{3,4,6}:{(6,1),(7,1),(17,1)}
        12:{1,2,5,6}:{(7,1),(17,1),(20,1)}
        13:{1,2,4,6,7}:{(7,1),(10,1),(18,1),(20,1),(24,1)}
        14:{3,4,5}:{(8,1),(23,1)}
        15:{1,2,4,6}:{(8,1),(9,1),(23,1),(24,1)}
        16:{1,2,3,5,7}:{(9,1),(10,1),(20,1),(24,1),(42,1),(69,1),(70,1)}
        17:{3,5,6}:{(11,1),(12,1),(25,1),(26,1)}
        18:{3,4,6,7}:{(11,1),(13,1),(26,1),(34,1),(47,1),(52,1)}
        19:{1,2,4,5,6}:{(12,1),(15,1),(25,1),(28,1),(29,1),(48,1),(49,1),(54,1)}
        20:{1,2,5,7}:{(12,1),(13,1),(26,1)}
        21:{2,3,4,5}:{(14,1),(31,1),(32,1),(74,1)}
        22:{1,3,4,5}:{(14,1),(31,1),(33,1),(74,1)}
        23:{3,4,6}:{(14,1),(15,1),(28,1),(34,1)}
        24:{1,2,4,7}:{(15,1),(16,1),(34,1)}
        25:{4,5,6}:{(17,1),(37,1)}
        26:{3,5,7}:{(17,1),(18,1),(20,1),(37,1)}
        27:{1,2,5,6,7}:{(20,1),(35,1),(38,1),(82,1),(83,1)}
        28:{3,5,6}:{(19,1),(23,1),(42,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(24,1),(37,1),(38,1),(42,1),(62,1),(63,1),(69,1)}
        30:{1,2,3,4}:{(43,1)}
        31:{1,2,4,5}:{(21,1),(22,1),(43,1),(44,1)}
        32:{2,3,4,6}:{(21,1),(23,1),(40,1),(44,1),(45,1),(86,1)}
        33:{1,3,4,6}:{(22,1),(23,1),(41,1),(44,1),(46,1),(86,1)}
        34:{3,4,7}:{(23,1),(24,1),(42,1)}
        35:{3,5,6,7}:{(26,1),(27,1),(47,1),(52,1)}
        36:{3,4,5,6}:{(25,1),(28,1),(48,1),(49,1),(50,1),(75,1),(101,1)}
        37:{4,5,7}:{(25,1),(26,1),(47,1)}
        38:{1,2,4,6,7}:{(27,1),(29,1),(47,1),(52,1),(72,1),(73,1),(79,1)}
        39:{1,2,3,4,6}:{(30,1),(51,1),(53,1),(57,1),(78,1),(80,1)}
        40:{2,3,5,6}:{(28,1),(32,1),(48,1),(54,1),(55,1),(75,1)}
        41:{1,3,5,6}:{(28,1),(33,1),(49,1),(54,1),(56,1),(75,1)}
        42:{3,5,7}:{(28,1),(29,1),(34,1),(52,1)}
        43:{1,2,3,5}:{(30,1),(31,1),(57,1)}
        44:{1,2,4,6}:{(31,1),(32,1),(33,1),(54,1),(57,1),(58,1)}
        45:{2,3,4,7}:{(32,1),(34,1),(55,1),(58,1),(94,1)}
        46:{1,3,4,7}:{(33,1),(34,1),(56,1),(58,1),(94,1)}
        47:{4,6,7}:{(35,1),(37,1)}
        48:{2,4,5,6}:{(36,1),(40,1),(62,1)}
        49:{1,4,5,6}:{(36,1),(41,1),(63,1)}
        50:{3,4,5,7}:{(36,1),(37,1),(42,1),(60,1),(62,1),(63,1),(87,1),(104,1)}
        51:{1,2,3,4,7}:{(39,1),(64,1),(70,1),(90,1)}
        52:{3,6,7}:{(38,1),(42,1)}
        53:{1,2,3,5}:{(39,1),(67,1)}
        54:{1,2,5,6}:{(40,1),(41,1),(44,1),(69,1)}
        55:{2,3,5,7}:{(40,1),(42,1),(45,1),(62,1),(65,1),(69,1),(87,1)}
        56:{1,3,5,7}:{(41,1),(42,1),(46,1),(63,1),(66,1),(69,1),(87,1)}
        57:{1,2,3,6}:{(43,1),(44,1),(70,1)}
        58:{1,2,4,7}:{(44,1),(45,1),(46,1),(69,1),(70,1)}
        59:{4,5,6,7}:{(47,1),(71,1),(102,1)}
        60:{3,4,6,7}:{(47,1),(50,1),(52,1),(71,1),(72,1),(73,1),(93,1),(102,1)}
        61:{1,2,4,5,6}:{(48,1),(49,1),(54,1),(75,1),(76,1),(80,1),(95,1),(101,1)}
        62:{2,4,5,7}:{(48,1),(50,1),(55,1),(72,1)}
        63:{1,4,5,7}:{(49,1),(50,1),(56,1),(73,1)}
        64:{1,2,3,5,7}:{(51,1),(53,1),(77,1),(78,1)}
        65:{2,3,6,7}:{(52,1),(55,1),(72,1),(79,1),(93,1)}
        66:{1,3,6,7}:{(52,1),(56,1),(73,1),(79,1),(93,1)}
        67:{1,2,4,5}:{(53,1),(74,1),(80,1)}
        68:{1,2,3,5,6}:{(53,1),(54,1),(57,1),(75,1),(78,1),(80,1),(81,1),(95,1)}
        69:{1,2,5,7}:{(54,1),(55,1),(56,1),(58,1),(79,1)}
        70:{1,2,3,7}:{(57,1),(58,1)}
        71:{3,5,6,7}:{(59,1),(60,1),(82,1),(83,1)}
        72:{2,4,6,7}:{(60,1),(62,1),(65,1),(82,1)}
        73:{1,4,6,7}:{(60,1),(63,1),(66,1),(83,1)}
        74:{3,4,5}:{(67,1),(86,1)}
        75:{3,5,6}:{(61,1),(86,1),(87,1)}
        76:{1,2,4,5,7}:{(61,1),(62,1),(63,1),(69,1),(85,1),(87,1),(90,1),(100,1),(104,1)}
        77:{1,2,4,5,7}:{(64,1),(67,1),(84,1),(88,1),(90,1),(100,1)}
        78:{1,2,3,6}:{(64,1),(88,1)}
        79:{1,2,6,7}:{(65,1),(66,1),(69,1)}
        80:{1,2,4,6}:{(67,1),(68,1),(86,1),(90,1)}
        81:{1,2,3,5,7}:{(68,1),(69,1),(70,1),(87,1),(89,1),(90,1),(100,1)}
        82:{2,5,6,7}:{(71,1),(72,1)}
        83:{1,5,6,7}:{(71,1),(73,1)}
        84:{3,4,5,7}:{(74,1),(77,1),(92,1),(94,1),(103,1)}
        85:{1,2,4,6,7}:{(72,1),(73,1),(76,1),(79,1),(91,1),(93,1),(102,1)}
        86:{3,4,6}:{(74,1),(75,1),(80,1),(94,1)}
        87:{3,5,7}:{(75,1),(76,1),(93,1),(94,1)}
        88:{1,2,4,6}:{(77,1),(78,1),(92,1),(95,1)}
        89:{1,2,3,6,7}:{(78,1),(79,1),(81,1),(93,1),(96,1)}
        90:{1,2,4,7}:{(80,1),(81,1),(94,1)}
        91:{1,2,5,6,7}:{(82,1),(83,1),(85,1),(97,1),(100,1)}
        92:{3,4,6}:{(84,1),(88,1),(98,1)}
        93:{3,6,7}:{(85,1),(87,1)}
        94:{3,4,7}:{(86,1),(87,1),(90,1)}
        95:{1,2,5,6}:{(88,1),(98,1),(100,1)}
        96:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(99,1),(100,1)}
        97:{3,5,6,7}:{(91,1),(93,1),(102,1),(103,1)}
        98:{3,5,6}:{(92,1),(95,1),(101,1),(103,1)}
        99:{3,4,6,7}:{(92,1),(93,1),(94,1),(96,1),(102,1),(103,1)}
       100:{1,2,5,7}:{(95,1),(96,1),(103,1)}
       101:{4,5,6}:{(98,1),(104,1)}
       102:{4,6,7}:{(97,1),(104,1)}
       103:{3,5,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{4,5,7}:{(101,1),(102,1),(103,1)}

1392 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(16,1),(17,1),(20,1),(21,1),(36,1),(68,1),(95,1),(96,1),(103,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(118,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(18,1),(19,1),(20,1),(130,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(15,1),(68,1),(97,1),(129,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(26,1),(27,1),(28,1)}
         5:{3,5,7}:{(2,1),(3,1),(9,1),(136,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(58,1),(62,1),(84,1),(92,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(58,1),(62,1),(83,1),(91,1),(111,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(34,1),(35,1),(36,1),(65,1),(102,1)}
         9:{3,5,6}:{(4,1),(5,1),(15,1)}
        10:{3,4,5,7}:{(5,1),(15,1),(18,1),(19,1),(45,1),(97,1),(106,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1),(45,1),(109,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(45,1),(108,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(41,1),(46,1),(107,1)}
        14:{3,5,6,7}:{(8,1),(9,1),(22,1),(82,1),(117,1)}
        15:{3,4,6}:{(9,1),(10,1),(26,1),(27,1),(58,1)}
        16:{1,3,5,6}:{(9,1),(11,1),(26,1),(28,1),(58,1)}
        17:{2,3,5,6}:{(9,1),(12,1),(27,1),(28,1),(58,1)}
        18:{1,4,5,7}:{(10,1),(11,1),(26,1),(112,1),(120,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(27,1),(111,1),(119,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(28,1),(121,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(58,1),(83,1),(84,1),(90,1)}
        22:{3,4,6,7}:{(14,1),(15,1),(33,1),(34,1),(35,1),(68,1),(97,1),(125,1)}
        23:{1,3,5,6,7}:{(14,1),(16,1),(34,1),(36,1),(63,1),(68,1),(96,1),(128,1)}
        24:{2,3,5,6,7}:{(14,1),(17,1),(35,1),(36,1),(64,1),(68,1),(95,1),(127,1)}
        25:{3,4,5,6}:{(15,1),(33,1),(37,1),(38,1),(72,1),(106,1),(125,1)}
        26:{1,4,6}:{(15,1),(16,1),(18,1)}
        27:{2,4,6}:{(15,1),(17,1),(19,1)}
        28:{1,2,5,6}:{(16,1),(17,1),(20,1),(41,1)}
        29:{1,3,4,5,7}:{(18,1),(39,1),(43,1),(45,1),(63,1),(79,1),(97,1),(106,1),(109,1),(124,1),(137,1)}
        30:{2,3,4,5,7}:{(19,1),(40,1),(44,1),(45,1),(64,1),(78,1),(97,1),(106,1),(108,1),(123,1),(137,1)}
        31:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(41,1),(45,1),(46,1),(76,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(42,1),(45,1),(46,1),(95,1),(96,1)}
        33:{3,4,5,7}:{(22,1),(25,1),(47,1),(48,1),(82,1)}
        34:{1,4,6,7}:{(22,1),(23,1),(26,1),(47,1),(112,1),(134,1)}
        35:{2,4,6,7}:{(22,1),(24,1),(27,1),(48,1),(111,1),(133,1)}
        36:{1,2,5,6,7}:{(23,1),(24,1),(28,1),(51,1),(80,1),(81,1),(135,1)}
        37:{1,4,5,6}:{(25,1),(26,1),(47,1),(53,1),(120,1),(134,1)}
        38:{2,4,5,6}:{(25,1),(27,1),(48,1),(54,1),(119,1),(133,1)}
        39:{1,3,4,6}:{(26,1),(29,1),(53,1),(56,1),(58,1),(89,1),(134,1),(139,1)}
        40:{2,3,4,6}:{(27,1),(30,1),(54,1),(57,1),(58,1),(89,1),(133,1),(139,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(58,1)}
        42:{1,2,3,5,6}:{(28,1),(32,1),(58,1),(59,1),(87,1),(88,1),(90,1),(93,1),(121,1)}
        43:{1,2,4,5,7}:{(29,1),(56,1),(60,1),(80,1),(94,1),(111,1),(119,1),(121,1)}
        44:{1,2,4,5,7}:{(30,1),(57,1),(61,1),(81,1),(94,1),(112,1),(120,1),(121,1)}
        45:{3,5,7}:{(31,1),(58,1),(62,1),(93,1)}
        46:{1,2,4,7}:{(32,1),(59,1),(62,1),(111,1),(112,1)}
        47:{1,4,5,7}:{(33,1),(34,1),(37,1),(63,1)}
        48:{2,4,5,7}:{(33,1),(35,1),(38,1),(64,1)}
        49:{1,3,4,6,7}:{(34,1),(39,1),(63,1),(66,1),(68,1),(97,1)}
        50:{2,3,4,6,7}:{(35,1),(40,1),(64,1),(67,1),(68,1),(97,1)}
        51:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(41,1),(65,1),(68,1),(138,1)}
        52:{1,2,3,5,6,7}:{(36,1),(42,1),(68,1),(69,1),(95,1),(96,1),(98,1),(101,1),(126,1),(127,1),(128,1)}
        53:{1,3,5,6}:{(37,1),(39,1),(63,1),(70,1),(72,1),(109,1)}
        54:{2,3,5,6}:{(38,1),(40,1),(64,1),(71,1),(72,1),(108,1)}
        55:{1,2,4,5,6}:{(37,1),(38,1),(41,1),(65,1),(70,1),(71,1),(72,1),(76,1),(104,1),(105,1),(130,1),(138,1)}
        56:{1,2,4,6}:{(39,1),(43,1),(70,1),(73,1),(104,1)}
        57:{1,2,4,6}:{(40,1),(44,1),(71,1),(74,1),(105,1)}
        58:{3,6}:{(41,1),(45,1)}
        59:{1,2,4,6}:{(42,1),(46,1),(75,1),(76,1),(104,1),(105,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(73,1),(78,1),(108,1),(137,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(74,1),(79,1),(109,1),(137,1)}
        62:{3,4,7}:{(45,1),(46,1),(75,1)}
        63:{1,3,5,7}:{(47,1),(49,1),(53,1),(80,1),(82,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(54,1),(81,1),(82,1)}
        65:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(55,1),(80,1),(81,1),(82,1),(111,1),(112,1)}
        66:{1,2,4,6,7}:{(49,1),(56,1),(80,1),(83,1),(111,1)}
        67:{1,2,4,6,7}:{(50,1),(57,1),(81,1),(84,1),(112,1)}
        68:{3,6,7}:{(51,1),(58,1),(82,1),(139,1)}
        69:{1,2,4,6,7}:{(52,1),(59,1),(85,1),(86,1),(111,1),(112,1),(133,1),(134,1)}
        70:{1,2,5,6}:{(53,1),(56,1),(80,1),(87,1),(121,1)}
        71:{1,2,5,6}:{(54,1),(57,1),(81,1),(88,1),(121,1)}
        72:{3,5,6}:{(55,1),(58,1),(82,1),(89,1),(93,1),(136,1),(139,1)}
        73:{2,3,6}:{(56,1),(58,1),(60,1),(139,1)}
        74:{1,3,6}:{(57,1),(58,1),(61,1),(139,1)}
        75:{3,4,6}:{(58,1),(59,1),(62,1),(93,1)}
        76:{1,2,4,5}:{(59,1),(93,1),(119,1),(120,1),(121,1)}
        77:{1,2,3,5,7}:{(60,1),(61,1),(90,1),(94,1),(121,1)}
        78:{2,3,4,7}:{(60,1),(62,1),(91,1),(94,1),(111,1),(131,1)}
        79:{1,3,4,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(131,1)}
        80:{1,2,5,7}:{(63,1),(66,1),(70,1),(95,1)}
        81:{1,2,5,7}:{(64,1),(67,1),(71,1),(96,1)}
        82:{3,5,7}:{(65,1),(68,1),(72,1),(97,1)}
        83:{2,3,6,7}:{(66,1),(68,1),(73,1),(95,1)}
        84:{1,3,6,7}:{(67,1),(68,1),(74,1),(96,1)}
        85:{3,4,6,7}:{(68,1),(69,1),(75,1),(97,1),(101,1),(125,1)}
        86:{1,2,4,5,7}:{(69,1),(76,1),(101,1),(102,1),(123,1),(124,1),(126,1)}
        87:{2,3,5,6}:{(70,1),(72,1),(73,1),(95,1),(104,1),(108,1)}
        88:{1,3,5,6}:{(71,1),(72,1),(74,1),(96,1),(105,1),(109,1)}
        89:{3,4,6}:{(72,1),(97,1),(104,1),(105,1),(106,1)}
        90:{1,2,3,6}:{(73,1),(74,1),(77,1),(107,1)}
        91:{2,3,4,6}:{(73,1),(75,1),(78,1),(104,1),(107,1),(108,1),(129,1)}
        92:{1,3,4,6}:{(74,1),(75,1),(79,1),(105,1),(107,1),(109,1),(129,1)}
        93:{3,5}:{(75,1),(76,1)}
        94:{1,2,4,7}:{(77,1),(78,1),(79,1),(107,1)}
        95:{2,3,5,7}:{(80,1),(82,1),(83,1),(87,1),(111,1)}
        96:{1,3,5,7}:{(81,1),(82,1),(84,1),(88,1),(112,1)}
        97:{3,4,7}:{(82,1),(89,1),(111,1),(112,1)}
        98:{1,2,3,6,7}:{(83,1),(84,1),(90,1),(110,1),(114,1),(139,1)}
        99:{2,3,4,6,7}:{(83,1),(85,1),(91,1),(111,1),(114,1),(115,1),(131,1),(133,1),(139,1)}
       100:{1,3,4,6,7}:{(84,1),(85,1),(92,1),(112,1),(114,1),(116,1),(131,1),(134,1),(139,1)}
       101:{3,5,7}:{(85,1),(86,1),(93,1),(117,1)}
       102:{1,2,4,5,6}:{(86,1),(117,1),(133,1),(134,1),(135,1)}
       103:{1,2,3,5,6}:{(87,1),(88,1),(90,1),(110,1),(118,1),(121,1),(135,1),(136,1),(139,1)}
       104:{2,4,6}:{(87,1),(89,1),(111,1),(119,1)}
       105:{1,4,6}:{(88,1),(89,1),(112,1),(120,1)}
       106:{3,4,5}:{(89,1),(93,1),(119,1),(120,1),(136,1)}
       107:{1,2,4,6}:{(90,1),(91,1),(92,1),(94,1),(121,1)}
       108:{2,3,5}:{(91,1),(93,1),(119,1),(121,1),(136,1)}
       109:{1,3,5}:{(92,1),(93,1),(120,1),(121,1),(136,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(103,1),(122,1),(126,1),(137,1)}
       111:{2,4,7}:{(95,1),(97,1),(104,1)}
       112:{1,4,7}:{(96,1),(97,1),(105,1)}
       113:{3,4,5,7}:{(97,1),(101,1),(106,1),(123,1),(124,1),(125,1),(137,1)}
       114:{1,2,4,6,7}:{(98,1),(99,1),(100,1),(107,1),(122,1),(126,1),(138,1)}
       115:{2,3,5,7}:{(99,1),(101,1),(108,1),(123,1),(126,1),(127,1),(137,1)}
       116:{1,3,5,7}:{(100,1),(101,1),(109,1),(124,1),(126,1),(128,1),(137,1)}
       117:{3,5,6}:{(101,1),(102,1),(125,1)}
       118:{1,2,4,6}:{(103,1),(104,1),(105,1),(122,1),(129,1),(130,1)}
       119:{2,4,5}:{(104,1),(106,1),(108,1)}
       120:{1,4,5}:{(105,1),(106,1),(109,1)}
       121:{1,2,5}:{(107,1),(108,1),(109,1)}
       122:{1,2,4,7}:{(110,1),(111,1),(112,1),(118,1),(131,1)}
       123:{2,4,5,7}:{(111,1),(113,1),(115,1),(119,1),(133,1)}
       124:{1,4,5,7}:{(112,1),(113,1),(116,1),(120,1),(134,1)}
       125:{3,4,6}:{(113,1),(117,1),(133,1),(134,1),(139,1)}
       126:{1,2,5,7}:{(114,1),(115,1),(116,1),(121,1),(135,1)}
       127:{2,3,5,6}:{(115,1),(117,1),(133,1),(135,1),(139,1)}
       128:{1,3,5,6}:{(116,1),(117,1),(134,1),(135,1),(139,1)}
       129:{3,4,6}:{(118,1),(131,1),(136,1),(139,1)}
       130:{1,2,4,5}:{(118,1),(119,1),(120,1),(121,1),(136,1)}
       131:{3,4,7}:{(122,1),(129,1),(137,1)}
       132:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(126,1),(130,1),(137,1),(138,1)}
       133:{2,4,6}:{(123,1),(125,1),(127,1)}
       134:{1,4,6}:{(124,1),(125,1),(128,1)}
       135:{1,2,5,6}:{(126,1),(127,1),(128,1),(138,1)}
       136:{3,5}:{(129,1),(130,1)}
       137:{3,5,7}:{(131,1),(132,1),(136,1),(139,1)}
       138:{1,2,4,6}:{(132,1),(133,1),(134,1),(135,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1393 :   0:{1,2,3,6}:{(3,1),(4,1),(5,1),(69,1),(127,1)}
         1:{2,3,4,6}:{(3,1),(6,1),(7,1),(25,1),(28,1),(32,1),(69,1),(79,1)}
         2:{1,3,4,6}:{(3,1),(8,1),(9,1),(25,1),(33,1),(37,1),(69,1),(79,1)}
         3:{1,2,4,6}:{(0,1),(1,1),(2,1),(10,1),(11,1),(12,1),(46,1)}
         4:{1,2,3,5}:{(0,1),(10,1),(12,1),(44,1),(103,1),(108,1)}
         5:{1,2,3,7}:{(0,1),(11,1),(101,1),(153,1),(230,1)}
         6:{2,3,5}:{(1,1),(10,1),(15,1),(44,1),(112,1)}
         7:{2,3,4,7}:{(1,1),(11,1),(16,1),(49,1),(52,1),(101,1),(223,1)}
         8:{1,3,5}:{(2,1),(10,1),(18,1),(44,1),(112,1)}
         9:{1,3,4,7}:{(2,1),(11,1),(19,1),(49,1),(58,1),(101,1),(222,1)}
        10:{1,2,5}:{(3,1),(6,1),(8,1)}
        11:{1,2,4,7}:{(3,1),(5,1),(7,1),(9,1),(24,1),(228,1)}
        12:{1,2,4}:{(4,1),(25,1)}
        13:{1,2,3,5,7}:{(4,1),(5,1),(24,1),(26,1),(27,1),(74,1),(80,1),(132,1),(136,1),(180,1)}
        14:{2,3,5,6}:{(6,1),(22,1),(28,1),(29,1),(32,1),(40,1),(69,1),(86,1),(135,1)}
        15:{2,4,5}:{(6,1),(28,1),(30,1),(140,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(24,1),(31,1),(32,1),(74,1),(214,1),(226,1)}
        17:{1,3,5,6}:{(8,1),(22,1),(33,1),(34,1),(37,1),(38,1),(69,1),(92,1),(135,1)}
        18:{1,4,5}:{(8,1),(33,1),(35,1),(140,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(24,1),(36,1),(37,1),(74,1),(213,1),(225,1)}
        20:{1,4,5,6}:{(33,1),(38,1),(39,1),(92,1),(148,1)}
        21:{2,4,5,6}:{(28,1),(40,1),(41,1),(86,1),(144,1)}
        22:{1,2,5,6}:{(10,1),(14,1),(17,1),(42,1),(43,1),(46,1),(63,1),(66,1)}
        23:{1,2,4,5}:{(10,1),(12,1),(15,1),(18,1),(42,1),(44,1),(54,1),(60,1),(103,1)}
        24:{1,2,5,7}:{(10,1),(11,1),(16,1),(19,1),(46,1),(224,1),(229,1)}
        25:{3,4}:{(12,1),(44,1)}
        26:{1,2,4,7}:{(12,1),(13,1),(49,1),(50,1),(196,1)}
        27:{1,2,3,6}:{(13,1),(46,1),(50,1),(106,1),(157,1)}
        28:{2,4,6}:{(14,1),(15,1),(51,1),(52,1),(160,1)}
        29:{2,3,5,7}:{(14,1),(43,1),(52,1),(53,1),(67,1),(101,1),(115,1),(156,1)}
        30:{3,4,5}:{(15,1),(44,1),(51,1),(54,1)}
        31:{2,4,5,7}:{(15,1),(16,1),(52,1),(55,1),(56,1),(115,1),(198,1),(218,1)}
        32:{2,3,6}:{(16,1),(46,1),(56,1),(106,1)}
        33:{1,4,6}:{(17,1),(18,1),(57,1),(58,1),(160,1)}
        34:{1,3,5,7}:{(17,1),(43,1),(58,1),(59,1),(64,1),(101,1),(120,1),(156,1)}
        35:{3,4,5}:{(18,1),(44,1),(57,1),(60,1)}
        36:{1,4,5,7}:{(18,1),(19,1),(58,1),(61,1),(62,1),(120,1),(199,1),(219,1)}
        37:{1,3,6}:{(19,1),(46,1),(62,1),(106,1)}
        38:{3,5,6}:{(20,1),(57,1),(63,1),(64,1)}
        39:{1,4,5,7}:{(20,1),(58,1),(64,1),(65,1),(120,1),(169,1)}
        40:{3,5,6}:{(21,1),(51,1),(66,1),(67,1)}
        41:{2,4,5,7}:{(21,1),(52,1),(67,1),(68,1),(115,1),(166,1)}
        42:{1,2,4,6}:{(22,1),(23,1),(28,1),(33,1),(69,1),(70,1),(81,1),(87,1),(127,1)}
        43:{1,2,5,7}:{(22,1),(29,1),(34,1),(70,1),(71,1),(93,1),(96,1)}
        44:{3,5}:{(23,1),(25,1),(69,1)}
        45:{1,2,4,5,7}:{(23,1),(24,1),(26,1),(31,1),(36,1),(70,1),(74,1),(75,1),(80,1),(84,1),(90,1),(131,1),(132,1),(140,1),(176,1),(181,1),(206,1)}
        46:{1,2,6}:{(24,1),(32,1),(37,1)}
        47:{1,3,4}:{(25,1),(72,1),(76,1)}
        48:{2,3,4}:{(25,1),(73,1),(76,1)}
        49:{3,4,7}:{(25,1),(26,1),(74,1),(79,1),(176,1),(212,1)}
        50:{1,2,4,6}:{(26,1),(27,1),(79,1),(80,1)}
        51:{3,4,6}:{(28,1),(30,1),(40,1),(69,1),(81,1),(82,1)}
        52:{2,4,7}:{(28,1),(29,1),(82,1),(176,1)}
        53:{2,3,6,7}:{(29,1),(32,1),(71,1),(83,1),(97,1),(130,1),(226,1)}
        54:{1,4,5}:{(30,1),(72,1),(81,1)}
        55:{3,4,5,7}:{(30,1),(31,1),(74,1),(82,1),(84,1),(85,1),(140,1),(142,1),(176,1),(182,1),(207,1)}
        56:{2,4,6}:{(31,1),(32,1),(85,1),(86,1)}
        57:{3,4,6}:{(33,1),(35,1),(38,1),(69,1),(87,1),(88,1)}
        58:{1,4,7}:{(33,1),(34,1),(88,1),(176,1)}
        59:{1,3,6,7}:{(34,1),(37,1),(71,1),(89,1),(94,1),(130,1),(225,1)}
        60:{2,4,5}:{(35,1),(73,1),(87,1)}
        61:{3,4,5,7}:{(35,1),(36,1),(74,1),(88,1),(90,1),(91,1),(140,1),(146,1),(176,1),(183,1),(208,1)}
        62:{1,4,6}:{(36,1),(37,1),(91,1),(92,1)}
        63:{2,5,6}:{(38,1),(87,1),(93,1)}
        64:{3,5,7}:{(38,1),(39,1),(88,1),(93,1),(94,1)}
        65:{1,4,6,7}:{(39,1),(94,1),(95,1),(150,1)}
        66:{1,5,6}:{(40,1),(81,1),(96,1)}
        67:{3,5,7}:{(40,1),(41,1),(82,1),(96,1),(97,1)}
        68:{2,4,6,7}:{(41,1),(97,1),(98,1),(152,1)}
        69:{3,6}:{(42,1),(44,1),(101,1)}
        70:{1,2,4,7}:{(42,1),(43,1),(52,1),(58,1),(101,1),(113,1),(118,1),(153,1)}
        71:{1,2,6,7}:{(43,1),(46,1),(53,1),(59,1),(123,1),(125,1),(229,1)}
        72:{1,3,5}:{(44,1),(47,1),(54,1),(99,1),(103,1)}
        73:{2,3,5}:{(44,1),(48,1),(60,1),(100,1),(103,1)}
        74:{3,5,7}:{(44,1),(45,1),(49,1),(101,1),(106,1),(112,1),(197,1),(217,1)}
        75:{1,2,4,6}:{(45,1),(46,1),(56,1),(62,1),(106,1),(107,1),(116,1),(121,1),(157,1),(160,1)}
        76:{1,2,4}:{(47,1),(48,1),(103,1),(108,1)}
        77:{1,3,4,7}:{(47,1),(49,1),(104,1),(109,1),(110,1),(191,1),(217,1)}
        78:{2,3,4,7}:{(48,1),(49,1),(105,1),(109,1),(111,1),(192,1),(217,1)}
        79:{3,4,6}:{(49,1),(50,1),(106,1),(112,1),(160,1)}
        80:{1,2,5}:{(50,1),(112,1)}
        81:{1,4,6}:{(51,1),(54,1),(66,1),(99,1),(113,1)}
        82:{3,4,7}:{(51,1),(52,1),(67,1),(101,1),(113,1)}
        83:{2,4,6,7}:{(52,1),(53,1),(56,1),(114,1),(115,1),(205,1),(218,1)}
        84:{1,4,5,7}:{(54,1),(55,1),(104,1),(113,1),(116,1),(163,1),(165,1),(191,1)}
        85:{3,4,6}:{(55,1),(56,1),(106,1),(116,1),(117,1),(160,1)}
        86:{2,5,6}:{(56,1),(115,1),(117,1)}
        87:{2,4,6}:{(57,1),(60,1),(63,1),(100,1),(118,1)}
        88:{3,4,7}:{(57,1),(58,1),(64,1),(101,1),(118,1)}
        89:{1,4,6,7}:{(58,1),(59,1),(62,1),(119,1),(120,1),(204,1),(219,1)}
        90:{2,4,5,7}:{(60,1),(61,1),(105,1),(118,1),(121,1),(164,1),(168,1),(192,1)}
        91:{3,4,6}:{(61,1),(62,1),(106,1),(121,1),(122,1),(160,1)}
        92:{1,5,6}:{(62,1),(120,1),(122,1)}
        93:{2,5,7}:{(63,1),(64,1),(118,1),(123,1)}
        94:{3,6,7}:{(64,1),(65,1),(123,1)}
        95:{1,5,6,7}:{(65,1),(120,1),(124,1),(204,1)}
        96:{1,5,7}:{(66,1),(67,1),(113,1),(125,1)}
        97:{3,6,7}:{(67,1),(68,1),(125,1)}
        98:{2,5,6,7}:{(68,1),(115,1),(126,1),(205,1)}
        99:{1,3,6}:{(69,1),(72,1),(81,1),(127,1),(128,1)}
       100:{2,3,6}:{(69,1),(73,1),(87,1),(127,1),(129,1)}
       101:{3,7}:{(69,1),(70,1)}
       102:{1,2,4,6,7}:{(70,1),(71,1),(75,1),(83,1),(89,1),(130,1),(131,1),(141,1),(145,1),(173,1),(176,1),(206,1)}
       103:{1,2,5}:{(72,1),(73,1),(76,1),(127,1)}
       104:{1,3,5,7}:{(72,1),(74,1),(77,1),(84,1),(128,1),(132,1),(133,1),(138,1)}
       105:{2,3,5,7}:{(73,1),(74,1),(78,1),(90,1),(129,1),(132,1),(134,1),(139,1)}
       106:{3,6}:{(74,1),(75,1)}
       107:{1,2,5,6}:{(75,1),(80,1),(86,1),(92,1),(131,1),(135,1),(143,1),(147,1)}
       108:{1,2,3}:{(76,1)}
       109:{1,2,4,7}:{(76,1),(77,1),(78,1),(132,1),(136,1),(137,1)}
       110:{1,3,4,6}:{(77,1),(79,1),(133,1),(137,1),(138,1),(178,1),(209,1),(212,1)}
       111:{2,3,4,6}:{(78,1),(79,1),(134,1),(137,1),(139,1),(179,1),(209,1),(212,1)}
       112:{3,5}:{(79,1),(80,1),(140,1)}
       113:{1,4,7}:{(81,1),(82,1),(96,1),(128,1)}
       114:{3,4,6,7}:{(82,1),(83,1),(85,1),(97,1),(130,1),(141,1),(142,1),(152,1),(176,1),(189,1),(207,1)}
       115:{2,5,7}:{(83,1),(86,1),(142,1)}
       116:{1,4,6}:{(84,1),(85,1),(133,1),(143,1)}
       117:{3,5,6}:{(85,1),(86,1),(142,1),(143,1),(144,1)}
       118:{2,4,7}:{(87,1),(88,1),(93,1),(129,1)}
       119:{3,4,6,7}:{(88,1),(89,1),(91,1),(94,1),(130,1),(145,1),(146,1),(150,1),(176,1),(188,1),(208,1)}
       120:{1,5,7}:{(89,1),(92,1),(146,1)}
       121:{2,4,6}:{(90,1),(91,1),(134,1),(147,1)}
       122:{3,5,6}:{(91,1),(92,1),(146,1),(147,1),(148,1)}
       123:{2,6,7}:{(93,1),(94,1)}
       124:{3,5,6,7}:{(94,1),(95,1),(146,1),(149,1),(150,1),(188,1)}
       125:{1,6,7}:{(96,1),(97,1)}
       126:{3,5,6,7}:{(97,1),(98,1),(142,1),(151,1),(152,1),(189,1)}
       127:{1,2,6}:{(99,1),(100,1),(103,1),(153,1)}
       128:{1,3,7}:{(99,1),(101,1),(113,1),(153,1)}
       129:{2,3,7}:{(100,1),(101,1),(118,1),(153,1)}
       130:{3,6,7}:{(101,1),(102,1),(106,1),(156,1),(217,1)}
       131:{1,2,5,7}:{(102,1),(107,1),(115,1),(120,1),(156,1),(165,1),(168,1)}
       132:{1,2,5,7}:{(103,1),(104,1),(105,1),(109,1),(153,1),(157,1),(162,1)}
       133:{1,3,6}:{(104,1),(106,1),(116,1),(157,1)}
       134:{2,3,6}:{(105,1),(106,1),(121,1),(157,1)}
       135:{3,5,6}:{(106,1),(107,1),(112,1),(156,1),(160,1)}
       136:{1,2,3,7}:{(108,1),(109,1),(161,1),(217,1),(229,1)}
       137:{1,2,4,6}:{(109,1),(110,1),(111,1),(157,1),(161,1),(162,1),(196,1)}
       138:{1,3,5}:{(110,1),(112,1),(162,1),(163,1),(197,1)}
       139:{2,3,5}:{(111,1),(112,1),(162,1),(164,1),(197,1)}
       140:{4,5}:{(112,1),(160,1)}
       141:{1,4,6,7}:{(113,1),(114,1),(116,1),(125,1),(154,1),(165,1),(191,1)}
       142:{3,5,7}:{(114,1),(115,1),(117,1),(165,1),(166,1)}
       143:{1,5,6}:{(116,1),(117,1),(165,1)}
       144:{4,5,6}:{(117,1),(160,1),(166,1)}
       145:{2,4,6,7}:{(118,1),(119,1),(121,1),(123,1),(155,1),(168,1),(192,1)}
       146:{3,5,7}:{(119,1),(120,1),(122,1),(168,1),(169,1)}
       147:{2,5,6}:{(121,1),(122,1),(168,1)}
       148:{4,5,6}:{(122,1),(160,1),(169,1)}
       149:{2,5,6,7}:{(123,1),(124,1),(168,1),(171,1)}
       150:{4,6,7}:{(124,1),(169,1)}
       151:{1,5,6,7}:{(125,1),(126,1),(165,1),(172,1)}
       152:{4,6,7}:{(126,1),(166,1)}
       153:{1,2,7}:{(127,1),(128,1),(129,1)}
       154:{1,3,6,7}:{(128,1),(130,1),(133,1),(141,1),(173,1),(174,1),(189,1)}
       155:{2,3,6,7}:{(129,1),(130,1),(134,1),(145,1),(173,1),(175,1),(188,1)}
       156:{3,5,7}:{(130,1),(131,1),(135,1),(176,1)}
       157:{1,2,6}:{(132,1),(133,1),(134,1)}
       158:{1,3,5,6}:{(133,1),(135,1),(138,1),(143,1),(174,1),(177,1),(178,1),(185,1),(209,1)}
       159:{2,3,5,6}:{(134,1),(135,1),(139,1),(147,1),(175,1),(177,1),(179,1),(187,1),(209,1)}
       160:{4,6}:{(135,1),(140,1),(176,1)}
       161:{1,2,3,6}:{(136,1),(137,1),(180,1),(209,1),(227,1)}
       162:{1,2,5}:{(137,1),(138,1),(139,1)}
       163:{1,4,5}:{(138,1),(140,1),(178,1),(182,1)}
       164:{2,4,5}:{(139,1),(140,1),(179,1),(183,1)}
       165:{1,5,7}:{(141,1),(142,1),(143,1)}
       166:{4,5,7}:{(142,1),(144,1),(152,1),(176,1)}
       167:{1,4,5,6}:{(143,1),(144,1),(178,1),(184,1),(185,1)}
       168:{2,5,7}:{(145,1),(146,1),(147,1)}
       169:{4,5,7}:{(146,1),(148,1),(150,1),(176,1)}
       170:{2,4,5,6}:{(147,1),(148,1),(179,1),(186,1),(187,1)}
       171:{2,4,6,7}:{(149,1),(150,1),(186,1),(188,1)}
       172:{1,4,6,7}:{(151,1),(152,1),(184,1),(189,1)}
       173:{1,2,6,7}:{(153,1),(154,1),(155,1),(157,1),(190,1),(204,1),(205,1)}
       174:{1,3,5,7}:{(154,1),(156,1),(158,1),(165,1),(190,1),(191,1),(200,1),(217,1)}
       175:{2,3,5,7}:{(155,1),(156,1),(159,1),(168,1),(190,1),(192,1),(202,1),(217,1)}
       176:{4,7}:{(156,1),(160,1)}
       177:{1,2,5,6}:{(157,1),(158,1),(159,1),(162,1),(190,1),(193,1),(201,1),(203,1)}
       178:{1,4,6}:{(158,1),(160,1),(163,1),(191,1),(194,1)}
       179:{2,4,6}:{(159,1),(160,1),(164,1),(192,1),(195,1)}
       180:{1,2,3,5}:{(161,1),(162,1),(196,1),(197,1),(224,1),(230,1)}
       181:{1,2,4,5}:{(162,1),(163,1),(164,1),(193,1),(196,1),(197,1),(198,1),(199,1),(224,1)}
       182:{3,4,5}:{(163,1),(194,1),(197,1),(198,1)}
       183:{3,4,5}:{(164,1),(195,1),(197,1),(199,1)}
       184:{1,4,5,7}:{(165,1),(166,1),(167,1),(172,1),(191,1),(200,1)}
       185:{3,5,6}:{(167,1),(194,1),(200,1),(201,1)}
       186:{2,4,5,7}:{(168,1),(169,1),(170,1),(171,1),(192,1),(202,1)}
       187:{3,5,6}:{(170,1),(195,1),(202,1),(203,1)}
       188:{3,6,7}:{(171,1),(202,1),(204,1)}
       189:{3,6,7}:{(172,1),(200,1),(205,1)}
       190:{1,2,5,7}:{(173,1),(174,1),(175,1),(177,1),(206,1),(215,1),(216,1)}
       191:{1,4,7}:{(174,1),(176,1),(178,1),(207,1)}
       192:{2,4,7}:{(175,1),(176,1),(179,1),(208,1)}
       193:{1,2,4,6}:{(177,1),(178,1),(179,1),(181,1),(206,1),(209,1),(210,1),(211,1),(227,1)}
       194:{3,4,6}:{(178,1),(182,1),(185,1),(207,1),(209,1),(210,1)}
       195:{3,4,6}:{(179,1),(183,1),(187,1),(208,1),(209,1),(211,1)}
       196:{1,2,4}:{(180,1),(212,1)}
       197:{3,5}:{(181,1),(209,1),(212,1)}
       198:{2,4,5}:{(182,1),(210,1),(214,1)}
       199:{1,4,5}:{(183,1),(211,1),(213,1)}
       200:{3,5,7}:{(184,1),(185,1),(189,1),(207,1),(215,1)}
       201:{2,5,6}:{(185,1),(210,1),(215,1)}
       202:{3,5,7}:{(186,1),(187,1),(188,1),(208,1),(216,1)}
       203:{1,5,6}:{(187,1),(211,1),(216,1)}
       204:{1,6,7}:{(188,1),(216,1)}
       205:{2,6,7}:{(189,1),(215,1)}
       206:{1,2,4,7}:{(190,1),(191,1),(192,1),(193,1),(217,1),(218,1),(219,1),(229,1)}
       207:{3,4,7}:{(191,1),(194,1),(200,1),(217,1),(218,1)}
       208:{3,4,7}:{(192,1),(195,1),(202,1),(217,1),(219,1)}
       209:{3,6}:{(193,1),(197,1),(217,1)}
       210:{2,4,6}:{(194,1),(198,1),(201,1),(218,1),(221,1)}
       211:{1,4,6}:{(195,1),(199,1),(203,1),(219,1),(220,1)}
       212:{3,4}:{(196,1),(197,1)}
       213:{1,3,5}:{(197,1),(199,1),(220,1),(222,1),(224,1)}
       214:{2,3,5}:{(197,1),(198,1),(221,1),(223,1),(224,1)}
       215:{2,5,7}:{(200,1),(201,1),(205,1),(218,1)}
       216:{1,5,7}:{(202,1),(203,1),(204,1),(219,1)}
       217:{3,7}:{(206,1),(209,1)}
       218:{2,4,7}:{(207,1),(210,1),(215,1),(226,1)}
       219:{1,4,7}:{(208,1),(211,1),(216,1),(225,1)}
       220:{1,3,6}:{(209,1),(211,1),(213,1),(225,1),(227,1)}
       221:{2,3,6}:{(209,1),(210,1),(214,1),(226,1),(227,1)}
       222:{1,3,4}:{(212,1),(213,1),(228,1)}
       223:{2,3,4}:{(212,1),(214,1),(228,1)}
       224:{1,2,5}:{(213,1),(214,1),(227,1),(228,1)}
       225:{1,3,7}:{(217,1),(219,1),(220,1),(229,1)}
       226:{2,3,7}:{(217,1),(218,1),(221,1),(229,1)}
       227:{1,2,6}:{(220,1),(221,1),(224,1),(229,1)}
       228:{1,2,4}:{(222,1),(223,1),(224,1),(230,1)}
       229:{1,2,7}:{(225,1),(226,1),(227,1)}
       230:{1,2,3}:{(228,1)}

1394 :   0:{1,3,5,7}:{(6,1),(7,1),(8,1),(13,1),(35,1),(39,1),(68,1)}
         1:{2,3,5,7}:{(6,1),(9,1),(10,1),(11,1),(35,1),(42,1),(68,1)}
         2:{2,4,5,7}:{(9,1),(11,1),(12,1),(18,1),(42,1),(50,1),(72,1)}
         3:{1,4,5,7}:{(7,1),(13,1),(14,1),(16,1),(39,1),(48,1),(70,1)}
         4:{1,4,6,7}:{(14,1),(15,1),(16,1),(48,1)}
         5:{2,4,6,7}:{(12,1),(17,1),(18,1),(50,1)}
         6:{1,2,5,7}:{(0,1),(1,1),(19,1),(20,1),(25,1),(28,1),(54,1)}
         7:{1,4,7}:{(0,1),(21,1),(22,1),(80,1),(85,1)}
         8:{1,3,6}:{(0,1),(20,1),(22,1),(29,1),(53,1),(102,1)}
         9:{2,4,7}:{(1,1),(23,1),(24,1),(80,1),(86,1)}
        10:{2,3,6}:{(1,1),(20,1),(24,1),(26,1),(53,1),(103,1)}
        11:{3,5,7}:{(2,1),(23,1),(25,1),(26,1),(58,1)}
        12:{2,4,6}:{(2,1),(26,1),(27,1),(60,1)}
        13:{3,5,7}:{(3,1),(21,1),(28,1),(29,1),(56,1)}
        14:{1,4,6}:{(3,1),(29,1),(30,1),(62,1)}
        15:{3,6,7}:{(4,1),(29,1),(31,1),(32,1)}
        16:{1,5,7}:{(4,1),(30,1),(32,1),(85,1)}
        17:{3,6,7}:{(5,1),(26,1),(33,1),(34,1)}
        18:{2,5,7}:{(5,1),(27,1),(34,1),(86,1)}
        19:{1,2,4,7}:{(6,1),(7,1),(9,1),(35,1),(36,1),(37,1),(40,1),(65,1)}
        20:{1,2,6}:{(6,1),(8,1),(10,1),(43,1),(45,1),(104,1)}
        21:{3,4,7}:{(7,1),(13,1),(35,1),(37,1),(38,1),(48,1),(75,1)}
        22:{1,4,6}:{(7,1),(8,1),(38,1),(39,1),(93,1),(101,1)}
        23:{3,4,7}:{(9,1),(11,1),(35,1),(40,1),(41,1),(50,1),(76,1)}
        24:{2,4,6}:{(9,1),(10,1),(41,1),(42,1),(92,1),(100,1)}
        25:{1,5,7}:{(11,1),(40,1),(43,1),(71,1)}
        26:{3,6}:{(11,1),(12,1),(43,1)}
        27:{2,5,6}:{(12,1),(18,1),(42,1),(44,1),(92,1)}
        28:{2,5,7}:{(13,1),(37,1),(45,1),(69,1)}
        29:{3,6}:{(13,1),(14,1),(45,1)}
        30:{1,5,6}:{(14,1),(16,1),(39,1),(46,1),(93,1)}
        31:{2,6,7}:{(15,1),(45,1),(47,1)}
        32:{3,5,7}:{(15,1),(16,1),(46,1),(47,1),(48,1),(75,1)}
        33:{1,6,7}:{(17,1),(43,1),(49,1)}
        34:{3,5,7}:{(17,1),(18,1),(44,1),(49,1),(50,1),(76,1)}
        35:{3,7}:{(19,1),(53,1)}
        36:{1,2,4,6}:{(19,1),(20,1),(22,1),(24,1),(53,1),(54,1),(55,1),(57,1),(77,1),(80,1),(94,1)}
        37:{2,4,7}:{(21,1),(28,1),(52,1),(55,1)}
        38:{3,4,6}:{(21,1),(22,1),(29,1),(53,1),(55,1),(56,1),(62,1),(80,1),(84,1),(96,1)}
        39:{1,5}:{(22,1),(56,1)}
        40:{1,4,7}:{(23,1),(25,1),(51,1),(57,1)}
        41:{3,4,6}:{(23,1),(24,1),(26,1),(53,1),(57,1),(58,1),(60,1),(80,1),(83,1),(95,1)}
        42:{2,5}:{(24,1),(58,1)}
        43:{1,6}:{(25,1),(26,1)}
        44:{3,5,6}:{(26,1),(27,1),(34,1),(58,1),(59,1),(60,1),(83,1)}
        45:{2,6}:{(28,1),(29,1)}
        46:{3,5,6}:{(29,1),(30,1),(32,1),(56,1),(61,1),(62,1),(84,1)}
        47:{2,5,7}:{(31,1),(32,1),(61,1),(63,1)}
        48:{4,7}:{(32,1),(62,1)}
        49:{1,5,7}:{(33,1),(34,1),(59,1),(64,1)}
        50:{4,7}:{(34,1),(60,1)}
        51:{1,3,7}:{(35,1),(40,1),(65,1),(66,1),(76,1)}
        52:{2,3,7}:{(35,1),(37,1),(65,1),(67,1),(75,1)}
        53:{3,6}:{(35,1),(36,1),(68,1),(99,1)}
        54:{1,2,5}:{(36,1),(39,1),(42,1),(68,1),(69,1),(71,1)}
        55:{2,4,6}:{(37,1),(38,1),(45,1),(67,1),(69,1),(89,1)}
        56:{3,5}:{(38,1),(39,1),(69,1),(70,1)}
        57:{1,4,6}:{(40,1),(41,1),(43,1),(66,1),(71,1),(88,1)}
        58:{3,5}:{(41,1),(42,1),(71,1),(72,1)}
        59:{1,5,6}:{(43,1),(44,1),(49,1),(71,1),(73,1)}
        60:{4,6}:{(44,1),(50,1),(72,1)}
        61:{2,5,6}:{(45,1),(46,1),(47,1),(69,1),(74,1)}
        62:{4,6}:{(46,1),(48,1),(70,1)}
        63:{2,4,7}:{(47,1),(48,1),(74,1),(75,1)}
        64:{1,4,7}:{(49,1),(50,1),(73,1),(76,1)}
        65:{1,2,7}:{(51,1),(52,1),(77,1),(85,1),(86,1)}
        66:{1,3,6}:{(51,1),(53,1),(57,1),(77,1),(78,1),(83,1)}
        67:{2,3,6}:{(52,1),(53,1),(55,1),(77,1),(79,1),(84,1)}
        68:{3,5}:{(53,1),(54,1),(80,1)}
        69:{2,5}:{(55,1),(56,1)}
        70:{4,5}:{(56,1),(62,1),(80,1)}
        71:{1,5}:{(57,1),(58,1)}
        72:{4,5}:{(58,1),(60,1),(80,1)}
        73:{1,4,6}:{(59,1),(60,1),(64,1),(82,1),(83,1)}
        74:{2,4,6}:{(61,1),(62,1),(63,1),(81,1),(84,1)}
        75:{3,7}:{(63,1),(84,1),(85,1)}
        76:{3,7}:{(64,1),(83,1),(86,1)}
        77:{1,2,6}:{(65,1),(66,1),(67,1),(87,1),(92,1),(93,1)}
        78:{1,3,5}:{(66,1),(68,1),(71,1),(87,1),(88,1),(91,1),(99,1)}
        79:{2,3,5}:{(67,1),(68,1),(69,1),(87,1),(89,1),(90,1),(99,1)}
        80:{4}:{(68,1)}
        81:{2,4,5}:{(69,1),(70,1),(74,1),(89,1),(90,1)}
        82:{1,4,5}:{(71,1),(72,1),(73,1),(88,1),(91,1)}
        83:{3,6}:{(73,1),(76,1),(91,1),(92,1)}
        84:{3,6}:{(74,1),(75,1),(90,1),(93,1)}
        85:{1,7}:{(75,1),(93,1)}
        86:{2,7}:{(76,1),(92,1)}
        87:{1,2,5}:{(77,1),(78,1),(79,1),(94,1),(97,1),(98,1)}
        88:{1,4}:{(78,1),(80,1),(95,1)}
        89:{2,4}:{(79,1),(80,1),(96,1)}
        90:{3,5}:{(81,1),(84,1),(96,1),(97,1)}
        91:{3,5}:{(82,1),(83,1),(95,1),(98,1)}
        92:{2,6}:{(83,1),(86,1),(98,1)}
        93:{1,6}:{(84,1),(85,1),(97,1)}
        94:{1,2,4}:{(87,1),(88,1),(89,1),(99,1),(100,1),(101,1),(104,1)}
        95:{3,4}:{(88,1),(91,1),(99,1),(100,1)}
        96:{3,4}:{(89,1),(90,1),(99,1),(101,1)}
        97:{1,5}:{(90,1),(93,1),(101,1)}
        98:{2,5}:{(91,1),(92,1),(100,1)}
        99:{3}:{(94,1)}
       100:{2,4}:{(95,1),(98,1),(103,1)}
       101:{1,4}:{(96,1),(97,1),(102,1)}
       102:{1,3}:{(99,1),(101,1),(104,1)}
       103:{2,3}:{(99,1),(100,1),(104,1)}
       104:{1,2}:{(102,1),(103,1)}

1395 :   0:{1,3,4,6,7}:{(1,1),(2,1),(11,1),(18,1),(34,1),(36,1),(43,1),(66,1),(71,1),(95,1),(106,1)}
         1:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(21,1),(23,1),(30,1),(61,1),(90,1),(110,1)}
         2:{1,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(24,1),(27,1),(82,1),(109,1)}
         3:{1,3,5,6,7}:{(4,1),(8,1),(9,1),(27,1),(29,1),(55,1),(119,1)}
         4:{1,3,5,6}:{(2,1),(10,1),(11,1),(32,1),(34,1)}
         5:{2,3,6,7}:{(1,1),(12,1),(34,1),(106,1),(122,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(10,1),(12,1),(40,1),(121,1)}
         7:{1,4,5,7}:{(2,1),(11,1),(14,1),(71,1),(96,1)}
         8:{1,2,5,6,7}:{(3,1),(10,1),(16,1),(17,1),(40,1),(73,1),(75,1),(107,1)}
         9:{1,4,6,7}:{(3,1),(11,1),(15,1),(18,1),(71,1),(129,1)}
        10:{1,2,5,6}:{(4,1),(6,1),(20,1),(21,1),(46,1),(82,1)}
        11:{1,4,6}:{(4,1),(7,1),(22,1)}
        12:{2,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(24,1),(130,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(21,1),(23,1),(24,1),(25,1),(47,1),(51,1),(53,1),(82,1),(90,1),(111,1)}
        14:{3,4,5,7}:{(7,1),(22,1),(24,1),(25,1),(27,1),(54,1),(78,1)}
        15:{1,4,5,7}:{(9,1),(19,1),(27,1),(135,1)}
        16:{2,3,5,6,7}:{(8,1),(20,1),(28,1),(29,1),(56,1),(58,1),(92,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(21,1),(26,1),(28,1),(29,1),(30,1),(59,1),(61,1),(90,1),(117,1)}
        18:{3,4,6,7}:{(9,1),(22,1),(27,1),(29,1),(30,1),(54,1),(134,1)}
        19:{1,4,5,6}:{(11,1),(15,1),(32,1)}
        20:{2,3,5,6}:{(10,1),(12,1),(33,1),(34,1),(65,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(13,1),(33,1),(34,1),(35,1),(66,1),(68,1)}
        22:{3,4,6}:{(11,1),(14,1),(32,1),(34,1),(35,1)}
        23:{2,4,7}:{(12,1),(33,1),(36,1),(136,1)}
        24:{3,5,7}:{(13,1),(34,1),(36,1),(65,1),(106,1),(123,1)}
        25:{2,4,5,7}:{(14,1),(35,1),(38,1),(40,1),(72,1),(97,1)}
        26:{1,2,4,5,7}:{(15,1),(17,1),(31,1),(39,1),(40,1),(41,1),(71,1),(72,1),(73,1),(75,1)}
        27:{3,5,7}:{(15,1),(18,1),(32,1),(40,1),(138,1)}
        28:{2,4,6,7}:{(16,1),(33,1),(41,1),(42,1),(72,1),(104,1)}
        29:{3,6,7}:{(17,1),(34,1),(39,1),(106,1),(127,1)}
        30:{2,4,6,7}:{(18,1),(35,1),(40,1),(44,1),(72,1),(137,1)}
        31:{1,2,4,5,6}:{(19,1),(21,1),(26,1),(45,1),(46,1),(47,1),(57,1),(79,1),(80,1),(81,1),(82,1),(91,1),(111,1),(117,1),(135,1),(139,1)}
        32:{3,5,6}:{(19,1),(22,1),(27,1),(46,1)}
        33:{2,4,6}:{(20,1),(23,1),(47,1),(48,1)}
        34:{3,6}:{(21,1),(24,1)}
        35:{2,4,6}:{(22,1),(25,1),(46,1),(50,1)}
        36:{3,4,7}:{(23,1),(24,1),(48,1),(51,1),(131,1)}
        37:{1,3,5,7}:{(24,1),(49,1),(51,1),(53,1),(82,1),(85,1),(113,1)}
        38:{2,3,5,7}:{(24,1),(25,1),(50,1),(52,1),(53,1),(83,1)}
        39:{3,5,7}:{(26,1),(29,1),(45,1),(54,1)}
        40:{2,5,7}:{(27,1),(30,1),(46,1),(139,1)}
        41:{2,4,5,7}:{(28,1),(47,1),(57,1),(58,1)}
        42:{3,4,6,7}:{(28,1),(29,1),(48,1),(54,1),(58,1),(59,1),(87,1)}
        43:{1,3,6,7}:{(29,1),(49,1),(55,1),(59,1),(61,1),(114,1)}
        44:{2,3,6,7}:{(29,1),(30,1),(50,1),(56,1),(61,1),(132,1)}
        45:{3,5,6}:{(31,1),(34,1),(39,1),(62,1),(65,1),(123,1),(127,1),(138,1)}
        46:{2,5,6}:{(32,1),(35,1),(40,1)}
        47:{2,4,5}:{(33,1),(65,1)}
        48:{3,4,6}:{(33,1),(34,1),(36,1),(65,1),(66,1)}
        49:{1,3,6}:{(34,1),(37,1),(66,1),(68,1)}
        50:{2,3,6}:{(34,1),(35,1),(38,1),(68,1)}
        51:{1,4,7}:{(36,1),(37,1),(66,1),(124,1)}
        52:{2,3,4,7}:{(36,1),(38,1),(67,1),(69,1),(72,1),(106,1)}
        53:{1,2,5,7}:{(37,1),(38,1),(68,1),(69,1),(99,1)}
        54:{3,4,7}:{(39,1),(62,1),(71,1),(72,1),(106,1)}
        55:{1,3,5,7}:{(39,1),(43,1),(63,1),(71,1),(73,1),(75,1),(106,1)}
        56:{2,3,5,7}:{(39,1),(40,1),(44,1),(64,1),(72,1),(73,1),(106,1)}
        57:{2,4,5,6}:{(41,1),(74,1),(104,1)}
        58:{3,5,7}:{(41,1),(42,1),(65,1),(74,1),(75,1)}
        59:{1,4,6,7}:{(42,1),(43,1),(66,1),(71,1),(75,1),(103,1)}
        60:{2,3,4,6,7}:{(42,1),(44,1),(67,1),(72,1),(76,1),(77,1),(104,1),(106,1),(127,1),(128,1),(137,1)}
        61:{1,2,6,7}:{(43,1),(44,1),(68,1),(73,1),(125,1)}
        62:{3,4,6}:{(45,1),(54,1),(78,1),(79,1),(80,1),(112,1),(131,1)}
        63:{1,3,5,6}:{(45,1),(49,1),(55,1),(79,1),(81,1),(82,1),(91,1),(109,1),(112,1),(113,1),(114,1)}
        64:{2,3,5,6}:{(45,1),(46,1),(50,1),(56,1),(80,1),(81,1),(83,1),(112,1),(130,1),(132,1),(139,1)}
        65:{3,5}:{(47,1),(48,1),(82,1)}
        66:{1,4,6}:{(48,1),(49,1),(51,1),(82,1)}
        67:{2,3,4,6}:{(48,1),(50,1),(52,1),(80,1),(83,1),(84,1),(112,1),(131,1)}
        68:{1,2,6}:{(49,1),(50,1),(53,1)}
        69:{1,2,4,7}:{(51,1),(52,1),(53,1),(84,1),(85,1)}
        70:{3,4,5,7}:{(54,1),(58,1),(78,1),(87,1),(88,1),(89,1),(118,1)}
        71:{1,4,7}:{(54,1),(55,1),(79,1)}
        72:{2,4,7}:{(54,1),(56,1),(80,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(61,1),(81,1),(90,1)}
        74:{3,5,6}:{(57,1),(58,1),(87,1),(91,1)}
        75:{1,5,7}:{(58,1),(59,1),(82,1),(91,1)}
        76:{2,3,5,7}:{(58,1),(60,1),(83,1),(89,1),(92,1),(93,1),(118,1),(139,1)}
        77:{1,2,4,6,7}:{(59,1),(60,1),(61,1),(84,1),(90,1),(93,1),(94,1),(117,1),(120,1)}
        78:{3,4,5}:{(62,1),(65,1),(96,1),(97,1),(123,1),(138,1)}
        79:{1,4,6}:{(62,1),(63,1),(71,1),(96,1),(124,1)}
        80:{2,4,6}:{(62,1),(64,1),(72,1),(97,1),(136,1)}
        81:{1,2,5,6}:{(63,1),(64,1),(68,1),(73,1),(98,1),(99,1),(121,1),(125,1)}
        82:{1,5}:{(65,1),(66,1)}
        83:{2,3,5}:{(65,1),(67,1),(97,1),(99,1),(123,1)}
        84:{1,2,4,6}:{(66,1),(67,1),(68,1),(69,1),(99,1),(100,1),(124,1)}
        85:{1,3,7}:{(69,1),(100,1),(106,1)}
        86:{1,3,4,7}:{(71,1),(95,1),(101,1),(102,1),(106,1),(128,1)}
        87:{3,4,6}:{(70,1),(74,1),(103,1),(104,1),(127,1)}
        88:{1,4,5,7}:{(70,1),(71,1),(75,1),(96,1),(101,1),(103,1)}
        89:{2,4,5,7}:{(70,1),(72,1),(76,1),(97,1),(104,1)}
        90:{1,2,4,7}:{(71,1),(72,1),(73,1),(98,1),(106,1)}
        91:{1,5,6}:{(74,1),(75,1),(103,1)}
        92:{2,3,5,6}:{(74,1),(76,1),(104,1),(107,1),(127,1)}
        93:{1,2,5,7}:{(75,1),(76,1),(77,1),(99,1),(107,1),(108,1)}
        94:{1,3,6,7}:{(77,1),(100,1),(106,1),(108,1),(127,1)}
        95:{1,3,4,6}:{(79,1),(86,1),(109,1),(110,1),(112,1),(114,1),(131,1),(134,1)}
        96:{1,4,5}:{(78,1),(79,1),(82,1),(109,1)}
        97:{2,4,5}:{(78,1),(80,1),(83,1),(139,1)}
        98:{1,2,4,6}:{(79,1),(80,1),(81,1),(90,1),(111,1),(112,1)}
        99:{1,2,5}:{(82,1),(83,1),(84,1),(113,1)}
       100:{1,3,6}:{(84,1),(85,1),(112,1),(113,1)}
       101:{1,3,5,7}:{(86,1),(88,1),(109,1),(114,1),(115,1),(118,1)}
       102:{1,2,4,7}:{(86,1),(110,1),(115,1),(116,1),(133,1)}
       103:{1,4,6}:{(87,1),(88,1),(91,1),(114,1)}
       104:{2,4,6}:{(87,1),(89,1),(92,1)}
       105:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(93,1),(111,1),(115,1),(117,1),(118,1),(120,1),(133,1),(135,1),(139,1)}
       106:{3,7}:{(90,1),(112,1)}
       107:{1,2,5,6}:{(91,1),(92,1),(93,1),(117,1),(119,1),(139,1)}
       108:{1,3,5,7}:{(93,1),(94,1),(113,1),(118,1),(119,1),(120,1)}
       109:{1,3,5}:{(95,1),(96,1),(121,1),(123,1),(138,1)}
       110:{1,2,4,6}:{(95,1),(102,1),(121,1),(122,1),(125,1),(136,1),(137,1)}
       111:{1,2,4,5}:{(96,1),(97,1),(98,1),(99,1),(121,1),(123,1),(124,1),(136,1)}
       112:{3,6}:{(98,1),(106,1),(123,1)}
       113:{1,3,5}:{(99,1),(100,1),(123,1),(124,1)}
       114:{1,3,6}:{(101,1),(103,1),(125,1),(127,1)}
       115:{1,2,5,7}:{(101,1),(102,1),(121,1),(125,1),(126,1)}
       116:{2,3,7}:{(102,1),(106,1),(122,1)}
       117:{1,2,4,6}:{(103,1),(104,1),(105,1),(107,1),(125,1),(127,1),(129,1),(137,1)}
       118:{3,5,7}:{(105,1),(106,1),(123,1),(127,1),(128,1),(138,1)}
       119:{1,3,5,6}:{(107,1),(108,1),(127,1),(129,1),(138,1)}
       120:{1,4,7}:{(108,1),(124,1),(128,1),(129,1)}
       121:{1,2,5}:{(109,1),(110,1),(130,1),(139,1)}
       122:{2,3,6}:{(110,1),(112,1),(116,1),(130,1)}
       123:{3,5}:{(111,1),(112,1),(131,1)}
       124:{1,4}:{(113,1),(131,1)}
       125:{1,2,6}:{(114,1),(115,1),(132,1)}
       126:{2,3,5,7}:{(115,1),(116,1),(118,1),(130,1),(132,1),(133,1),(139,1)}
       127:{3,6}:{(117,1),(118,1)}
       128:{3,4,7}:{(118,1),(120,1),(131,1),(133,1),(134,1)}
       129:{1,4,6}:{(119,1),(120,1),(134,1),(135,1)}
       130:{2,3,5}:{(121,1),(122,1),(123,1),(136,1)}
       131:{3,4}:{(123,1),(124,1),(136,1)}
       132:{2,3,6}:{(125,1),(126,1),(127,1),(137,1)}
       133:{2,4,7}:{(126,1),(128,1),(136,1),(137,1)}
       134:{3,4,6}:{(127,1),(128,1),(129,1),(137,1),(138,1)}
       135:{1,4,5}:{(129,1),(138,1)}
       136:{2,4}:{(130,1),(131,1)}
       137:{2,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1396 :   0:{2,3,4,6,7}:{(1,1),(2,1),(11,1),(18,1),(34,1),(36,1),(44,1),(67,1),(72,1),(95,1),(106,1)}
         1:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(21,1),(23,1),(30,1),(61,1),(90,1),(110,1)}
         2:{2,3,5,7}:{(0,1),(4,1),(6,1),(7,1),(24,1),(27,1),(83,1),(109,1)}
         3:{2,3,5,6,7}:{(4,1),(8,1),(9,1),(27,1),(29,1),(56,1),(119,1)}
         4:{2,3,5,6}:{(2,1),(10,1),(11,1),(32,1),(34,1)}
         5:{1,3,6,7}:{(1,1),(12,1),(34,1),(106,1),(122,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(10,1),(12,1),(40,1),(121,1)}
         7:{2,4,5,7}:{(2,1),(11,1),(14,1),(72,1),(97,1)}
         8:{1,2,5,6,7}:{(3,1),(10,1),(16,1),(17,1),(40,1),(73,1),(76,1),(107,1)}
         9:{2,4,6,7}:{(3,1),(11,1),(15,1),(18,1),(72,1),(129,1)}
        10:{1,2,5,6}:{(4,1),(6,1),(20,1),(21,1),(46,1),(83,1)}
        11:{2,4,6}:{(4,1),(7,1),(22,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(20,1),(23,1),(24,1),(130,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(21,1),(23,1),(24,1),(25,1),(47,1),(52,1),(53,1),(83,1),(90,1),(111,1)}
        14:{3,4,5,7}:{(7,1),(22,1),(24,1),(25,1),(27,1),(54,1),(78,1)}
        15:{2,4,5,7}:{(9,1),(19,1),(27,1),(135,1)}
        16:{1,3,5,6,7}:{(8,1),(20,1),(28,1),(29,1),(55,1),(58,1),(91,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(21,1),(26,1),(28,1),(29,1),(30,1),(60,1),(61,1),(90,1),(117,1)}
        18:{3,4,6,7}:{(9,1),(22,1),(27,1),(29,1),(30,1),(54,1),(134,1)}
        19:{2,4,5,6}:{(11,1),(15,1),(32,1)}
        20:{1,3,5,6}:{(10,1),(12,1),(33,1),(34,1),(65,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(13,1),(33,1),(34,1),(35,1),(67,1),(68,1)}
        22:{3,4,6}:{(11,1),(14,1),(32,1),(34,1),(35,1)}
        23:{1,4,7}:{(12,1),(33,1),(36,1),(136,1)}
        24:{3,5,7}:{(13,1),(34,1),(36,1),(65,1),(106,1),(123,1)}
        25:{1,4,5,7}:{(14,1),(35,1),(37,1),(40,1),(71,1),(96,1)}
        26:{1,2,4,5,7}:{(15,1),(17,1),(31,1),(39,1),(40,1),(41,1),(71,1),(72,1),(73,1),(76,1)}
        27:{3,5,7}:{(15,1),(18,1),(32,1),(40,1),(138,1)}
        28:{1,4,6,7}:{(16,1),(33,1),(41,1),(42,1),(71,1),(103,1)}
        29:{3,6,7}:{(17,1),(34,1),(39,1),(106,1),(127,1)}
        30:{1,4,6,7}:{(18,1),(35,1),(40,1),(43,1),(71,1),(137,1)}
        31:{1,2,4,5,6}:{(19,1),(21,1),(26,1),(45,1),(46,1),(47,1),(57,1),(79,1),(80,1),(81,1),(83,1),(92,1),(111,1),(117,1),(135,1),(139,1)}
        32:{3,5,6}:{(19,1),(22,1),(27,1),(46,1)}
        33:{1,4,6}:{(20,1),(23,1),(47,1),(48,1)}
        34:{3,6}:{(21,1),(24,1)}
        35:{1,4,6}:{(22,1),(25,1),(46,1),(49,1)}
        36:{3,4,7}:{(23,1),(24,1),(48,1),(52,1),(131,1)}
        37:{1,3,5,7}:{(24,1),(25,1),(49,1),(51,1),(53,1),(82,1)}
        38:{2,3,5,7}:{(24,1),(50,1),(52,1),(53,1),(83,1),(85,1),(113,1)}
        39:{3,5,7}:{(26,1),(29,1),(45,1),(54,1)}
        40:{1,5,7}:{(27,1),(30,1),(46,1),(139,1)}
        41:{1,4,5,7}:{(28,1),(47,1),(57,1),(58,1)}
        42:{3,4,6,7}:{(28,1),(29,1),(48,1),(54,1),(58,1),(60,1),(87,1)}
        43:{1,3,6,7}:{(29,1),(30,1),(49,1),(55,1),(61,1),(132,1)}
        44:{2,3,6,7}:{(29,1),(50,1),(56,1),(60,1),(61,1),(114,1)}
        45:{3,5,6}:{(31,1),(34,1),(39,1),(62,1),(65,1),(123,1),(127,1),(138,1)}
        46:{1,5,6}:{(32,1),(35,1),(40,1)}
        47:{1,4,5}:{(33,1),(65,1)}
        48:{3,4,6}:{(33,1),(34,1),(36,1),(65,1),(67,1)}
        49:{1,3,6}:{(34,1),(35,1),(37,1),(68,1)}
        50:{2,3,6}:{(34,1),(38,1),(67,1),(68,1)}
        51:{1,3,4,7}:{(36,1),(37,1),(66,1),(69,1),(71,1),(106,1)}
        52:{2,4,7}:{(36,1),(38,1),(67,1),(124,1)}
        53:{1,2,5,7}:{(37,1),(38,1),(68,1),(69,1),(99,1)}
        54:{3,4,7}:{(39,1),(62,1),(71,1),(72,1),(106,1)}
        55:{1,3,5,7}:{(39,1),(40,1),(43,1),(63,1),(71,1),(73,1),(106,1)}
        56:{2,3,5,7}:{(39,1),(44,1),(64,1),(72,1),(73,1),(76,1),(106,1)}
        57:{1,4,5,6}:{(41,1),(74,1),(103,1)}
        58:{3,5,7}:{(41,1),(42,1),(65,1),(74,1),(76,1)}
        59:{1,3,4,6,7}:{(42,1),(43,1),(66,1),(71,1),(75,1),(77,1),(103,1),(106,1),(127,1),(128,1),(137,1)}
        60:{2,4,6,7}:{(42,1),(44,1),(67,1),(72,1),(76,1),(104,1)}
        61:{1,2,6,7}:{(43,1),(44,1),(68,1),(73,1),(125,1)}
        62:{3,4,6}:{(45,1),(54,1),(78,1),(79,1),(80,1),(112,1),(131,1)}
        63:{1,3,5,6}:{(45,1),(46,1),(49,1),(55,1),(79,1),(81,1),(82,1),(112,1),(130,1),(132,1),(139,1)}
        64:{2,3,5,6}:{(45,1),(50,1),(56,1),(80,1),(81,1),(83,1),(92,1),(109,1),(112,1),(113,1),(114,1)}
        65:{3,5}:{(47,1),(48,1),(83,1)}
        66:{1,3,4,6}:{(48,1),(49,1),(51,1),(79,1),(82,1),(84,1),(112,1),(131,1)}
        67:{2,4,6}:{(48,1),(50,1),(52,1),(83,1)}
        68:{1,2,6}:{(49,1),(50,1),(53,1)}
        69:{1,2,4,7}:{(51,1),(52,1),(53,1),(84,1),(85,1)}
        70:{3,4,5,7}:{(54,1),(58,1),(78,1),(87,1),(88,1),(89,1),(118,1)}
        71:{1,4,7}:{(54,1),(55,1),(79,1)}
        72:{2,4,7}:{(54,1),(56,1),(80,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(61,1),(81,1),(90,1)}
        74:{3,5,6}:{(57,1),(58,1),(87,1),(92,1)}
        75:{1,3,5,7}:{(58,1),(59,1),(82,1),(88,1),(91,1),(93,1),(118,1),(139,1)}
        76:{2,5,7}:{(58,1),(60,1),(83,1),(92,1)}
        77:{1,2,4,6,7}:{(59,1),(60,1),(61,1),(84,1),(90,1),(93,1),(94,1),(117,1),(120,1)}
        78:{3,4,5}:{(62,1),(65,1),(96,1),(97,1),(123,1),(138,1)}
        79:{1,4,6}:{(62,1),(63,1),(71,1),(96,1),(136,1)}
        80:{2,4,6}:{(62,1),(64,1),(72,1),(97,1),(124,1)}
        81:{1,2,5,6}:{(63,1),(64,1),(68,1),(73,1),(98,1),(99,1),(121,1),(125,1)}
        82:{1,3,5}:{(65,1),(66,1),(96,1),(99,1),(123,1)}
        83:{2,5}:{(65,1),(67,1)}
        84:{1,2,4,6}:{(66,1),(67,1),(68,1),(69,1),(99,1),(100,1),(124,1)}
        85:{2,3,7}:{(69,1),(100,1),(106,1)}
        86:{2,3,4,7}:{(72,1),(95,1),(101,1),(102,1),(106,1),(128,1)}
        87:{3,4,6}:{(70,1),(74,1),(103,1),(104,1),(127,1)}
        88:{1,4,5,7}:{(70,1),(71,1),(75,1),(96,1),(103,1)}
        89:{2,4,5,7}:{(70,1),(72,1),(76,1),(97,1),(101,1),(104,1)}
        90:{1,2,4,7}:{(71,1),(72,1),(73,1),(98,1),(106,1)}
        91:{1,3,5,6}:{(74,1),(75,1),(103,1),(107,1),(127,1)}
        92:{2,5,6}:{(74,1),(76,1),(104,1)}
        93:{1,2,5,7}:{(75,1),(76,1),(77,1),(99,1),(107,1),(108,1)}
        94:{2,3,6,7}:{(77,1),(100,1),(106,1),(108,1),(127,1)}
        95:{2,3,4,6}:{(80,1),(86,1),(109,1),(110,1),(112,1),(114,1),(131,1),(134,1)}
        96:{1,4,5}:{(78,1),(79,1),(82,1),(139,1)}
        97:{2,4,5}:{(78,1),(80,1),(83,1),(109,1)}
        98:{1,2,4,6}:{(79,1),(80,1),(81,1),(90,1),(111,1),(112,1)}
        99:{1,2,5}:{(82,1),(83,1),(84,1),(113,1)}
       100:{2,3,6}:{(84,1),(85,1),(112,1),(113,1)}
       101:{2,3,5,7}:{(86,1),(89,1),(109,1),(114,1),(115,1),(118,1)}
       102:{1,2,4,7}:{(86,1),(110,1),(115,1),(116,1),(133,1)}
       103:{1,4,6}:{(87,1),(88,1),(91,1)}
       104:{2,4,6}:{(87,1),(89,1),(92,1),(114,1)}
       105:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(93,1),(111,1),(115,1),(117,1),(118,1),(120,1),(133,1),(135,1),(139,1)}
       106:{3,7}:{(90,1),(112,1)}
       107:{1,2,5,6}:{(91,1),(92,1),(93,1),(117,1),(119,1),(139,1)}
       108:{2,3,5,7}:{(93,1),(94,1),(113,1),(118,1),(119,1),(120,1)}
       109:{2,3,5}:{(95,1),(97,1),(121,1),(123,1),(138,1)}
       110:{1,2,4,6}:{(95,1),(102,1),(121,1),(122,1),(125,1),(136,1),(137,1)}
       111:{1,2,4,5}:{(96,1),(97,1),(98,1),(99,1),(121,1),(123,1),(124,1),(136,1)}
       112:{3,6}:{(98,1),(106,1),(123,1)}
       113:{2,3,5}:{(99,1),(100,1),(123,1),(124,1)}
       114:{2,3,6}:{(101,1),(104,1),(125,1),(127,1)}
       115:{1,2,5,7}:{(101,1),(102,1),(121,1),(125,1),(126,1)}
       116:{1,3,7}:{(102,1),(106,1),(122,1)}
       117:{1,2,4,6}:{(103,1),(104,1),(105,1),(107,1),(125,1),(127,1),(129,1),(137,1)}
       118:{3,5,7}:{(105,1),(106,1),(123,1),(127,1),(128,1),(138,1)}
       119:{2,3,5,6}:{(107,1),(108,1),(127,1),(129,1),(138,1)}
       120:{2,4,7}:{(108,1),(124,1),(128,1),(129,1)}
       121:{1,2,5}:{(109,1),(110,1),(130,1),(139,1)}
       122:{1,3,6}:{(110,1),(112,1),(116,1),(130,1)}
       123:{3,5}:{(111,1),(112,1),(131,1)}
       124:{2,4}:{(113,1),(131,1)}
       125:{1,2,6}:{(114,1),(115,1),(132,1)}
       126:{1,3,5,7}:{(115,1),(116,1),(118,1),(130,1),(132,1),(133,1),(139,1)}
       127:{3,6}:{(117,1),(118,1)}
       128:{3,4,7}:{(118,1),(120,1),(131,1),(133,1),(134,1)}
       129:{2,4,6}:{(119,1),(120,1),(134,1),(135,1)}
       130:{1,3,5}:{(121,1),(122,1),(123,1),(136,1)}
       131:{3,4}:{(123,1),(124,1),(136,1)}
       132:{1,3,6}:{(125,1),(126,1),(127,1),(137,1)}
       133:{1,4,7}:{(126,1),(128,1),(136,1),(137,1)}
       134:{3,4,6}:{(127,1),(128,1),(129,1),(137,1),(138,1)}
       135:{2,4,5}:{(129,1),(138,1)}
       136:{1,4}:{(130,1),(131,1)}
       137:{1,4,6}:{(132,1),(133,1),(134,1),(139,1)}
       138:{3,5}:{(134,1),(135,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

1397 :   0:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(27,1),(29,1),(53,1),(66,1)}
         1:{2,3,5,6,7}:{(4,1),(6,1),(17,1),(28,1),(29,1),(50,1),(67,1)}
         2:{1,3,4,6,7}:{(7,1),(8,1),(14,1),(33,1),(48,1),(70,1),(78,1),(84,1),(107,1),(111,1),(119,1)}
         3:{2,3,4,6,7}:{(9,1),(10,1),(15,1),(35,1),(49,1),(73,1),(81,1),(85,1),(108,1),(112,1),(119,1)}
         4:{1,2,5,6,7}:{(0,1),(1,1),(13,1),(32,1),(34,1),(46,1),(47,1),(86,1)}
         5:{1,4,6,7}:{(0,1),(11,1),(14,1),(33,1),(72,1),(84,1)}
         6:{2,4,6,7}:{(1,1),(12,1),(15,1),(35,1),(69,1),(85,1)}
         7:{1,2,4,6,7}:{(2,1),(20,1),(21,1),(30,1),(51,1),(59,1),(68,1),(105,1),(125,1)}
         8:{1,3,5,7}:{(2,1),(16,1),(21,1),(22,1),(27,1),(60,1),(120,1),(123,1)}
         9:{1,2,4,6,7}:{(3,1),(23,1),(24,1),(31,1),(54,1),(62,1),(68,1),(105,1),(122,1)}
        10:{2,3,5,7}:{(3,1),(17,1),(24,1),(25,1),(28,1),(63,1),(121,1),(124,1)}
        11:{1,4,5,7}:{(5,1),(18,1),(27,1),(91,1)}
        12:{2,4,5,7}:{(6,1),(19,1),(28,1),(87,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(26,1),(29,1),(30,1),(31,1),(51,1),(54,1),(68,1),(105,1)}
        14:{3,4,6,7}:{(5,1),(27,1),(29,1),(30,1),(52,1),(65,1),(92,1)}
        15:{3,4,6,7}:{(6,1),(28,1),(29,1),(31,1),(55,1),(65,1),(88,1)}
        16:{1,3,5,6}:{(8,1),(32,1),(33,1),(37,1),(70,1)}
        17:{2,3,5,6}:{(10,1),(34,1),(35,1),(38,1),(73,1)}
        18:{1,4,5,6}:{(11,1),(33,1),(37,1)}
        19:{2,4,5,6}:{(12,1),(35,1),(38,1)}
        20:{2,3,6,7}:{(7,1),(39,1),(70,1),(119,1),(133,1)}
        21:{1,2,5,7}:{(7,1),(8,1),(32,1),(39,1),(46,1),(132,1)}
        22:{1,4,5,7}:{(8,1),(33,1),(41,1),(84,1),(114,1)}
        23:{1,3,6,7}:{(9,1),(42,1),(73,1),(119,1),(131,1)}
        24:{1,2,5,7}:{(9,1),(10,1),(34,1),(42,1),(47,1),(130,1)}
        25:{2,4,5,7}:{(10,1),(35,1),(44,1),(85,1),(115,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(36,1),(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        27:{3,5,7}:{(11,1),(14,1),(37,1),(46,1),(110,1)}
        28:{3,5,7}:{(12,1),(15,1),(38,1),(47,1),(106,1)}
        29:{3,6,7}:{(13,1),(45,1),(70,1),(73,1),(119,1)}
        30:{2,4,6,7}:{(14,1),(46,1),(49,1),(71,1),(85,1),(112,1)}
        31:{1,4,6,7}:{(15,1),(47,1),(48,1),(74,1),(84,1),(107,1)}
        32:{1,2,5,6}:{(16,1),(21,1),(50,1),(51,1),(57,1),(120,1)}
        33:{1,4,6}:{(16,1),(22,1),(52,1)}
        34:{1,2,5,6}:{(17,1),(24,1),(53,1),(54,1),(58,1),(124,1)}
        35:{2,4,6}:{(17,1),(25,1),(55,1)}
        36:{1,2,4,5,6}:{(18,1),(19,1),(26,1),(51,1),(54,1),(56,1),(57,1),(58,1),(87,1),(91,1),(96,1),(97,1),(98,1),(120,1),(124,1),(126,1)}
        37:{3,5,6}:{(18,1),(27,1),(52,1),(57,1)}
        38:{3,5,6}:{(19,1),(28,1),(55,1),(58,1)}
        39:{2,3,5,7}:{(20,1),(21,1),(50,1),(59,1),(60,1),(136,1)}
        40:{1,2,4,5,7}:{(21,1),(22,1),(51,1),(59,1),(60,1),(61,1),(87,1),(99,1),(101,1),(105,1),(120,1),(126,1)}
        41:{3,4,5,7}:{(22,1),(27,1),(52,1),(60,1),(61,1),(65,1),(95,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(53,1),(62,1),(63,1),(135,1)}
        43:{1,2,4,5,7}:{(24,1),(25,1),(54,1),(62,1),(63,1),(64,1),(91,1),(103,1),(104,1),(105,1),(124,1),(126,1)}
        44:{3,4,5,7}:{(25,1),(28,1),(55,1),(63,1),(64,1),(65,1),(95,1)}
        45:{3,5,7}:{(26,1),(29,1),(56,1),(65,1)}
        46:{2,5,7}:{(27,1),(30,1),(57,1),(124,1)}
        47:{1,5,7}:{(28,1),(31,1),(58,1),(120,1)}
        48:{1,3,6,7}:{(29,1),(31,1),(66,1),(68,1),(89,1),(93,1)}
        49:{2,3,6,7}:{(29,1),(30,1),(67,1),(68,1),(90,1),(94,1)}
        50:{2,3,5,6}:{(32,1),(39,1),(69,1),(70,1),(106,1)}
        51:{1,2,4,6}:{(32,1),(33,1),(40,1),(69,1),(70,1),(71,1),(107,1),(109,1)}
        52:{3,4,6}:{(33,1),(37,1),(41,1),(70,1),(71,1)}
        53:{1,3,5,6}:{(34,1),(42,1),(72,1),(73,1),(110,1)}
        54:{1,2,4,6}:{(34,1),(35,1),(43,1),(72,1),(73,1),(74,1),(112,1),(113,1)}
        55:{3,4,6}:{(35,1),(38,1),(44,1),(73,1),(74,1)}
        56:{3,5,6}:{(36,1),(45,1),(70,1),(73,1),(75,1),(106,1),(110,1),(134,1)}
        57:{2,5,6}:{(37,1),(46,1),(71,1)}
        58:{1,5,6}:{(38,1),(47,1),(74,1)}
        59:{2,4,7}:{(39,1),(69,1),(78,1),(139,1)}
        60:{3,5,7}:{(40,1),(70,1),(78,1),(106,1),(119,1),(134,1)}
        61:{2,4,5,7}:{(41,1),(46,1),(71,1),(80,1),(85,1),(115,1)}
        62:{1,4,7}:{(42,1),(72,1),(81,1),(138,1)}
        63:{3,5,7}:{(43,1),(73,1),(81,1),(110,1),(119,1),(134,1)}
        64:{1,4,5,7}:{(44,1),(47,1),(74,1),(82,1),(84,1),(114,1)}
        65:{3,4,7}:{(45,1),(75,1),(84,1),(85,1),(119,1)}
        66:{1,3,5,7}:{(45,1),(47,1),(48,1),(76,1),(84,1),(86,1),(119,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(49,1),(77,1),(85,1),(86,1),(119,1)}
        68:{1,2,6,7}:{(48,1),(49,1),(86,1),(109,1),(113,1)}
        69:{2,4,6}:{(50,1),(59,1),(87,1),(88,1)}
        70:{3,6}:{(51,1),(60,1)}
        71:{2,4,6}:{(52,1),(57,1),(61,1),(90,1)}
        72:{1,4,6}:{(53,1),(62,1),(91,1),(92,1)}
        73:{3,6}:{(54,1),(63,1)}
        74:{1,4,6}:{(55,1),(58,1),(64,1),(93,1)}
        75:{3,4,6}:{(56,1),(65,1),(95,1),(96,1),(97,1),(127,1),(137,1)}
        76:{1,3,5,6}:{(56,1),(58,1),(66,1),(89,1),(93,1),(96,1),(98,1),(120,1),(123,1),(127,1),(135,1)}
        77:{2,3,5,6}:{(56,1),(57,1),(67,1),(90,1),(94,1),(97,1),(98,1),(121,1),(124,1),(127,1),(136,1)}
        78:{3,4,7}:{(59,1),(60,1),(88,1),(99,1),(137,1)}
        79:{1,3,5,7}:{(60,1),(89,1),(99,1),(101,1),(120,1),(128,1),(135,1)}
        80:{2,3,5,7}:{(60,1),(61,1),(90,1),(100,1),(101,1),(121,1)}
        81:{3,4,7}:{(62,1),(63,1),(92,1),(103,1),(137,1)}
        82:{1,3,5,7}:{(63,1),(64,1),(93,1),(102,1),(104,1),(123,1)}
        83:{2,3,5,7}:{(63,1),(94,1),(103,1),(104,1),(124,1),(129,1),(136,1)}
        84:{1,4,7}:{(65,1),(66,1),(96,1)}
        85:{2,4,7}:{(65,1),(67,1),(97,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(98,1),(105,1)}
        87:{2,4,5}:{(69,1),(106,1)}
        88:{3,4,6}:{(69,1),(70,1),(78,1),(106,1),(107,1)}
        89:{1,3,6}:{(70,1),(79,1),(107,1),(109,1)}
        90:{2,3,6}:{(70,1),(71,1),(80,1),(109,1)}
        91:{1,4,5}:{(72,1),(110,1)}
        92:{3,4,6}:{(72,1),(73,1),(81,1),(110,1),(112,1)}
        93:{1,3,6}:{(73,1),(74,1),(82,1),(113,1)}
        94:{2,3,6}:{(73,1),(83,1),(112,1),(113,1)}
        95:{3,4,5}:{(75,1),(106,1),(110,1),(114,1),(115,1),(134,1)}
        96:{1,4,6}:{(75,1),(76,1),(84,1),(114,1),(138,1)}
        97:{2,4,6}:{(75,1),(77,1),(85,1),(115,1),(139,1)}
        98:{1,2,5,6}:{(76,1),(77,1),(86,1),(109,1),(113,1),(116,1),(130,1),(132,1)}
        99:{1,4,7}:{(78,1),(79,1),(107,1),(138,1)}
       100:{2,3,4,7}:{(78,1),(80,1),(85,1),(108,1),(117,1),(119,1)}
       101:{1,2,5,7}:{(79,1),(80,1),(109,1),(117,1),(130,1)}
       102:{1,3,4,7}:{(81,1),(82,1),(84,1),(111,1),(118,1),(119,1)}
       103:{2,4,7}:{(81,1),(83,1),(112,1),(139,1)}
       104:{1,2,5,7}:{(82,1),(83,1),(113,1),(118,1),(132,1)}
       105:{1,2,4,7}:{(84,1),(85,1),(86,1),(116,1),(119,1)}
       106:{3,5}:{(87,1),(88,1),(120,1)}
       107:{1,4,6}:{(88,1),(89,1),(99,1),(120,1)}
       108:{2,3,4,6}:{(88,1),(90,1),(97,1),(100,1),(121,1),(122,1),(127,1),(137,1)}
       109:{1,2,6}:{(89,1),(90,1),(101,1)}
       110:{3,5}:{(91,1),(92,1),(124,1)}
       111:{1,3,4,6}:{(92,1),(93,1),(96,1),(102,1),(123,1),(125,1),(127,1),(137,1)}
       112:{2,4,6}:{(92,1),(94,1),(103,1),(124,1)}
       113:{1,2,6}:{(93,1),(94,1),(104,1)}
       114:{1,4,5}:{(95,1),(96,1),(120,1),(123,1)}
       115:{2,4,5}:{(95,1),(97,1),(121,1),(124,1)}
       116:{1,2,4,6}:{(96,1),(97,1),(98,1),(105,1),(126,1),(127,1)}
       117:{1,2,4,7}:{(99,1),(100,1),(101,1),(122,1),(128,1)}
       118:{1,2,4,7}:{(102,1),(103,1),(104,1),(125,1),(129,1)}
       119:{3,7}:{(105,1),(127,1)}
       120:{1,5}:{(106,1),(107,1)}
       121:{2,3,5}:{(106,1),(108,1),(115,1),(130,1),(134,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(117,1),(130,1),(131,1),(138,1)}
       123:{1,3,5}:{(110,1),(111,1),(114,1),(132,1),(134,1)}
       124:{2,5}:{(110,1),(112,1)}
       125:{1,2,4,6}:{(111,1),(112,1),(113,1),(118,1),(132,1),(133,1),(139,1)}
       126:{1,2,4,5}:{(114,1),(115,1),(116,1),(130,1),(132,1),(134,1),(138,1),(139,1)}
       127:{3,6}:{(116,1),(119,1),(134,1)}
       128:{1,3,7}:{(117,1),(119,1),(131,1)}
       129:{2,3,7}:{(118,1),(119,1),(133,1)}
       130:{1,2,5}:{(120,1),(121,1),(122,1),(135,1)}
       131:{1,3,6}:{(122,1),(127,1),(128,1),(135,1)}
       132:{1,2,5}:{(123,1),(124,1),(125,1),(136,1)}
       133:{2,3,6}:{(125,1),(127,1),(129,1),(136,1)}
       134:{3,5}:{(126,1),(127,1),(137,1)}
       135:{1,3,5}:{(130,1),(131,1),(134,1),(138,1)}
       136:{2,3,5}:{(132,1),(133,1),(134,1),(139,1)}
       137:{3,4}:{(134,1),(138,1),(139,1)}
       138:{1,4}:{(135,1),(137,1)}
       139:{2,4}:{(136,1),(137,1)}

1398 :   0:{1,2,3,5,6}:{(1,1),(2,1),(7,1),(11,1),(36,1),(38,1),(40,1),(42,1),(44,1),(77,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(17,1),(24,1),(26,1),(56,1),(59,1),(61,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(51,1),(53,1)}
         3:{3,4,6}:{(2,1),(10,1),(11,1),(42,1)}
         4:{1,2,3,6,7}:{(1,1),(12,1),(42,1),(77,1),(79,1),(80,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(10,1),(72,1),(74,1)}
         6:{1,2,4,5}:{(2,1),(11,1),(31,1),(32,1),(36,1)}
         7:{1,2,3,6}:{(15,1),(17,1),(18,1),(85,1)}
         8:{2,3,4,6}:{(3,1),(18,1),(19,1),(20,1),(46,1),(51,1),(58,1),(83,1),(85,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(21,1),(22,1),(46,1),(53,1),(60,1),(83,1),(85,1)}
        10:{3,4,7}:{(3,1),(5,1),(24,1)}
        11:{3,5}:{(3,1),(6,1)}
        12:{1,2,4,6,7}:{(4,1),(5,1),(23,1),(26,1),(27,1),(90,1),(92,1)}
        13:{1,2,4,5,7}:{(5,1),(6,1),(24,1),(26,1),(27,1),(50,1),(52,1),(56,1),(62,1)}
        14:{1,2,4,5,6}:{(6,1),(25,1),(27,1),(28,1),(51,1),(53,1),(57,1),(89,1),(91,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(30,1),(36,1),(67,1)}
        16:{3,4,5}:{(11,1),(31,1),(32,1),(34,1),(67,1)}
        17:{1,2,3,7}:{(7,1),(35,1),(99,1)}
        18:{1,2,4,6}:{(7,1),(8,1),(9,1),(30,1),(35,1),(36,1),(77,1)}
        19:{2,3,4,7}:{(8,1),(10,1),(35,1),(37,1),(66,1),(72,1),(99,1)}
        20:{2,3,5}:{(8,1),(11,1),(31,1),(36,1),(67,1),(97,1)}
        21:{1,3,4,7}:{(9,1),(10,1),(35,1),(39,1),(66,1),(74,1),(99,1)}
        22:{1,3,5}:{(9,1),(11,1),(32,1),(36,1),(67,1),(97,1)}
        23:{3,4,6,7}:{(10,1),(12,1),(41,1),(42,1),(81,1)}
        24:{3,5,7}:{(10,1),(11,1),(13,1),(42,1)}
        25:{3,5,6}:{(11,1),(14,1),(34,1),(42,1),(43,1)}
        26:{1,2,5,7}:{(12,1),(41,1),(44,1),(102,1),(103,1)}
        27:{1,2,4,6}:{(13,1),(42,1),(44,1),(71,1),(73,1),(77,1),(81,1)}
        28:{1,2,4,5,7}:{(14,1),(43,1),(45,1),(72,1),(74,1),(78,1),(102,1),(103,1),(104,1)}
        29:{1,2,3,5,7}:{(15,1),(17,1),(47,1),(48,1),(56,1),(84,1),(86,1)}
        30:{1,2,4}:{(15,1),(46,1)}
        31:{2,4,5}:{(16,1),(20,1),(51,1),(105,1)}
        32:{1,4,5}:{(16,1),(22,1),(53,1),(105,1)}
        33:{3,4,5,7}:{(16,1),(24,1),(50,1),(52,1),(54,1),(55,1),(62,1),(84,1),(94,1),(105,1),(111,1)}
        34:{3,4,6}:{(16,1),(25,1),(51,1),(53,1),(55,1),(85,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(19,1),(21,1),(56,1)}
        36:{1,2,5}:{(18,1),(20,1),(22,1)}
        37:{2,3,5,7}:{(19,1),(20,1),(24,1),(50,1),(56,1),(58,1),(84,1)}
        38:{2,3,5,6}:{(20,1),(25,1),(51,1),(57,1),(58,1),(59,1),(85,1),(89,1),(106,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(24,1),(52,1),(56,1),(60,1),(84,1)}
        40:{1,3,5,6}:{(22,1),(25,1),(53,1),(57,1),(60,1),(61,1),(85,1),(91,1),(106,1)}
        41:{3,5,7}:{(23,1),(26,1),(62,1),(63,1)}
        42:{3,6}:{(24,1),(27,1)}
        43:{3,5,7}:{(25,1),(28,1),(55,1),(64,1)}
        44:{1,2,5,6}:{(26,1),(27,1),(63,1),(89,1),(91,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(64,1),(65,1),(90,1),(92,1),(95,1),(96,1)}
        46:{3,4}:{(30,1),(67,1)}
        47:{1,2,3,6}:{(29,1),(68,1),(77,1),(98,1)}
        48:{1,2,4,7}:{(29,1),(30,1),(66,1),(68,1)}
        49:{1,2,4,5}:{(30,1),(31,1),(32,1),(36,1),(67,1),(70,1)}
        50:{2,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(102,1)}
        51:{2,4,6}:{(31,1),(34,1),(38,1),(72,1),(109,1)}
        52:{1,4,5,7}:{(32,1),(33,1),(39,1),(73,1),(74,1),(103,1)}
        53:{1,4,6}:{(32,1),(34,1),(40,1),(74,1),(109,1)}
        54:{3,4,6}:{(33,1),(42,1),(71,1),(73,1),(75,1),(81,1),(98,1),(109,1)}
        55:{3,4,7}:{(34,1),(43,1),(72,1),(74,1),(99,1)}
        56:{1,2,5,7}:{(35,1),(36,1),(37,1),(39,1),(77,1)}
        57:{1,2,5,6}:{(36,1),(38,1),(40,1),(70,1),(77,1),(78,1)}
        58:{2,3,6}:{(37,1),(42,1),(71,1),(77,1),(98,1)}
        59:{2,3,5,7}:{(38,1),(43,1),(72,1),(78,1),(79,1),(99,1),(102,1),(110,1)}
        60:{1,3,6}:{(39,1),(42,1),(73,1),(77,1),(98,1)}
        61:{1,3,5,7}:{(40,1),(43,1),(74,1),(78,1),(80,1),(99,1),(103,1),(110,1)}
        62:{4,5,7}:{(41,1),(81,1)}
        63:{3,5,6}:{(41,1),(42,1),(44,1),(81,1)}
        64:{3,6,7}:{(42,1),(43,1),(45,1)}
        65:{1,2,5,6,7}:{(44,1),(45,1),(82,1),(102,1),(103,1)}
        66:{3,4,7}:{(46,1),(48,1),(83,1),(84,1),(111,1)}
        67:{3,5}:{(46,1),(49,1),(85,1)}
        68:{1,2,4,6}:{(47,1),(48,1),(83,1),(86,1)}
        69:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(52,1),(56,1),(84,1),(86,1),(87,1),(88,1),(105,1),(108,1),(111,1)}
        70:{1,2,4,6}:{(49,1),(51,1),(53,1),(57,1),(85,1),(88,1)}
        71:{2,4,6}:{(50,1),(54,1),(58,1),(89,1)}
        72:{2,4,7}:{(51,1),(55,1),(59,1),(111,1)}
        73:{1,4,6}:{(52,1),(54,1),(60,1),(91,1)}
        74:{1,4,7}:{(53,1),(55,1),(61,1),(111,1)}
        75:{3,5,6}:{(54,1),(89,1),(91,1),(93,1),(94,1)}
        76:{3,4,6,7}:{(54,1),(55,1),(64,1),(90,1),(92,1),(94,1),(96,1),(107,1),(111,1)}
        77:{1,2,6}:{(56,1),(58,1),(60,1)}
        78:{1,2,5,7}:{(57,1),(59,1),(61,1),(88,1),(95,1)}
        79:{2,3,6,7}:{(58,1),(59,1),(64,1),(90,1),(95,1),(107,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(64,1),(92,1),(95,1),(107,1)}
        81:{4,6}:{(62,1),(63,1)}
        82:{3,5,6,7}:{(63,1),(64,1),(65,1),(94,1),(96,1)}
        83:{3,4,6}:{(66,1),(68,1),(97,1),(98,1),(109,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(97,1),(98,1),(99,1)}
        85:{3,6}:{(67,1),(70,1),(99,1)}
        86:{1,2,5}:{(68,1),(97,1)}
        87:{1,2,4,6}:{(69,1),(71,1),(73,1),(77,1),(98,1),(100,1),(109,1)}
        88:{1,2,4,7}:{(70,1),(72,1),(74,1),(78,1),(99,1)}
        89:{2,5,6}:{(71,1),(75,1),(102,1)}
        90:{2,4,6,7}:{(71,1),(72,1),(76,1),(79,1),(102,1)}
        91:{1,5,6}:{(73,1),(75,1),(103,1)}
        92:{1,4,6,7}:{(73,1),(74,1),(76,1),(80,1),(103,1)}
        93:{4,5,6}:{(75,1),(81,1),(104,1),(109,1)}
        94:{3,5,7}:{(75,1),(76,1),(102,1),(103,1),(104,1)}
        95:{1,2,6,7}:{(77,1),(78,1),(79,1),(80,1)}
        96:{4,6,7}:{(81,1),(82,1),(104,1)}
        97:{3,5}:{(83,1),(86,1),(105,1)}
        98:{3,6}:{(84,1),(87,1)}
        99:{3,7}:{(85,1),(88,1)}
       100:{1,2,5,6}:{(86,1),(87,1),(89,1),(91,1),(106,1),(108,1)}
       101:{1,2,4,6,7}:{(87,1),(88,1),(90,1),(92,1),(95,1),(107,1),(108,1),(111,1)}
       102:{2,5,7}:{(89,1),(90,1),(94,1)}
       103:{1,5,7}:{(91,1),(92,1),(94,1)}
       104:{4,5,7}:{(93,1),(94,1),(96,1),(111,1)}
       105:{4,5}:{(97,1),(109,1)}
       106:{3,5,6}:{(97,1),(98,1),(100,1),(109,1),(110,1)}
       107:{3,6,7}:{(98,1),(99,1),(101,1),(110,1)}
       108:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1399 :   0:{1,2,3,6,7}:{(2,1),(3,1),(38,1),(75,1),(76,1),(77,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(11,1),(15,1),(38,1),(43,1),(44,1),(45,1),(46,1),(77,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(84,1),(85,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(23,1),(59,1),(60,1),(61,1),(62,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(53,1),(54,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(13,1),(32,1),(38,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(11,1),(94,1),(95,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(13,1),(71,1),(72,1)}
         8:{1,2,4,5}:{(4,1),(15,1),(35,1),(36,1),(45,1)}
         9:{3,4,6}:{(4,1),(13,1),(15,1),(38,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,5,6}:{(6,1),(18,1),(22,1),(82,1),(83,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(22,1),(23,1),(50,1),(51,1),(59,1)}
        13:{3,4,7}:{(7,1),(9,1),(23,1)}
        14:{1,2,4,5,6}:{(8,1),(22,1),(26,1),(27,1),(47,1),(53,1),(54,1),(63,1),(82,1),(83,1)}
        15:{3,5}:{(8,1),(9,1)}
        16:{1,3,4,6}:{(9,1),(24,1),(28,1),(30,1),(53,1),(57,1),(89,1),(90,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(25,1),(29,1),(30,1),(54,1),(58,1),(89,1),(90,1),(105,1)}
        18:{3,5,6}:{(10,1),(11,1),(32,1),(38,1)}
        19:{4,5,7}:{(10,1),(32,1)}
        20:{3,4,5}:{(15,1),(34,1),(35,1),(36,1),(74,1)}
        21:{1,2,5,6,7}:{(11,1),(31,1),(37,1),(94,1),(95,1)}
        22:{1,2,4,6}:{(11,1),(12,1),(32,1),(38,1),(68,1),(69,1),(77,1)}
        23:{3,5,7}:{(12,1),(13,1),(15,1),(38,1)}
        24:{1,3,4,7}:{(13,1),(16,1),(39,1),(41,1),(71,1),(99,1),(100,1)}
        25:{2,3,4,7}:{(13,1),(17,1),(40,1),(41,1),(72,1),(99,1),(100,1)}
        26:{1,2,4,5,7}:{(14,1),(37,1),(42,1),(65,1),(71,1),(72,1),(79,1),(94,1),(95,1)}
        27:{3,5,6}:{(14,1),(15,1),(34,1),(38,1),(42,1)}
        28:{1,3,5}:{(15,1),(16,1),(35,1),(45,1),(74,1),(109,1)}
        29:{2,3,5}:{(15,1),(17,1),(36,1),(45,1),(74,1),(109,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(41,1),(45,1),(46,1),(77,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(48,1),(56,1),(81,1)}
        32:{4,6}:{(18,1),(19,1)}
        33:{3,4,5,7}:{(19,1),(20,1),(23,1),(49,1),(50,1),(51,1),(52,1),(81,1),(87,1),(110,1),(111,1)}
        34:{3,4,6}:{(20,1),(27,1),(52,1),(53,1),(54,1),(89,1)}
        35:{1,4,5}:{(20,1),(28,1),(53,1),(111,1)}
        36:{2,4,5}:{(20,1),(29,1),(54,1),(111,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(26,1),(48,1),(56,1),(84,1),(85,1),(91,1)}
        38:{3,6}:{(22,1),(23,1)}
        39:{1,3,5,7}:{(23,1),(24,1),(28,1),(50,1),(57,1),(59,1),(87,1)}
        40:{2,3,5,7}:{(23,1),(25,1),(29,1),(51,1),(58,1),(59,1),(87,1)}
        41:{1,2,4,7}:{(24,1),(25,1),(30,1),(59,1),(60,1)}
        42:{3,5,7}:{(26,1),(27,1),(52,1),(56,1)}
        43:{1,3,5,6}:{(27,1),(28,1),(53,1),(57,1),(61,1),(63,1),(82,1),(89,1),(103,1)}
        44:{2,3,5,6}:{(27,1),(29,1),(54,1),(58,1),(62,1),(63,1),(83,1),(89,1),(103,1)}
        45:{1,2,5}:{(28,1),(29,1),(30,1)}
        46:{1,2,3,6}:{(30,1),(60,1),(64,1),(89,1)}
        47:{4,5,6}:{(32,1),(65,1),(66,1),(108,1)}
        48:{4,6,7}:{(31,1),(32,1),(65,1)}
        49:{3,4,6}:{(32,1),(33,1),(38,1),(66,1),(68,1),(69,1),(98,1),(108,1)}
        50:{1,4,5,7}:{(33,1),(35,1),(39,1),(68,1),(71,1),(94,1)}
        51:{2,4,5,7}:{(33,1),(36,1),(40,1),(69,1),(72,1),(95,1)}
        52:{3,4,7}:{(34,1),(42,1),(71,1),(72,1),(100,1)}
        53:{1,4,6}:{(34,1),(35,1),(43,1),(71,1),(108,1)}
        54:{2,4,6}:{(34,1),(36,1),(44,1),(72,1),(108,1)}
        55:{1,2,4,5}:{(35,1),(36,1),(45,1),(73,1),(74,1),(80,1)}
        56:{3,6,7}:{(37,1),(38,1),(42,1)}
        57:{1,3,6}:{(38,1),(39,1),(68,1),(77,1),(98,1)}
        58:{2,3,6}:{(38,1),(40,1),(69,1),(77,1),(98,1)}
        59:{1,2,5,7}:{(39,1),(40,1),(41,1),(45,1),(77,1)}
        60:{1,2,3,7}:{(41,1),(46,1),(100,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(71,1),(75,1),(79,1),(94,1),(100,1),(107,1)}
        62:{2,3,5,7}:{(42,1),(44,1),(72,1),(76,1),(79,1),(95,1),(100,1),(107,1)}
        63:{1,2,5,6}:{(43,1),(44,1),(45,1),(73,1),(77,1),(79,1)}
        64:{1,2,3,5}:{(45,1),(46,1),(74,1),(80,1)}
        65:{4,5,7}:{(47,1),(48,1),(81,1),(110,1)}
        66:{3,5,6}:{(47,1),(49,1),(81,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(48,1),(49,1),(52,1),(56,1),(81,1),(84,1),(85,1),(104,1),(110,1)}
        68:{1,4,6}:{(49,1),(50,1),(57,1),(82,1)}
        69:{2,4,6}:{(49,1),(51,1),(58,1),(83,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(55,1),(59,1),(86,1),(87,1),(88,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        71:{1,4,7}:{(52,1),(53,1),(61,1),(110,1)}
        72:{2,4,7}:{(52,1),(54,1),(62,1),(110,1)}
        73:{1,2,4,6}:{(53,1),(54,1),(55,1),(63,1),(88,1),(89,1)}
        74:{3,5}:{(55,1),(89,1),(90,1)}
        75:{1,3,6,7}:{(56,1),(57,1),(61,1),(84,1),(91,1),(104,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(62,1),(85,1),(91,1),(104,1)}
        77:{1,2,6}:{(57,1),(58,1),(59,1)}
        78:{1,2,3,5,7}:{(59,1),(60,1),(64,1),(87,1),(92,1),(93,1),(106,1)}
        79:{1,2,5,7}:{(61,1),(62,1),(63,1),(88,1),(91,1)}
        80:{1,2,4}:{(64,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(67,1),(94,1),(95,1)}
        82:{1,5,6}:{(66,1),(68,1),(94,1)}
        83:{2,5,6}:{(66,1),(69,1),(95,1)}
        84:{1,4,6,7}:{(67,1),(68,1),(71,1),(75,1),(94,1)}
        85:{2,4,6,7}:{(67,1),(69,1),(72,1),(76,1),(95,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(96,1),(98,1),(108,1)}
        87:{3,5,7}:{(70,1),(74,1),(98,1),(99,1),(100,1),(109,1)}
        88:{1,2,4,7}:{(71,1),(72,1),(73,1),(79,1),(100,1)}
        89:{3,6}:{(73,1),(74,1),(100,1)}
        90:{3,4}:{(74,1),(80,1)}
        91:{1,2,6,7}:{(75,1),(76,1),(77,1),(79,1)}
        92:{1,2,3,6}:{(77,1),(78,1),(98,1),(101,1)}
        93:{1,2,4,7}:{(78,1),(80,1),(99,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(84,1)}
        95:{2,5,7}:{(81,1),(83,1),(85,1)}
        96:{1,2,5,6}:{(82,1),(83,1),(86,1),(102,1),(103,1),(106,1)}
        97:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(102,1),(104,1),(110,1)}
        98:{3,6}:{(86,1),(87,1)}
        99:{3,4,7}:{(87,1),(90,1),(93,1),(105,1),(110,1)}
       100:{3,7}:{(88,1),(89,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(97,1),(107,1)}
       103:{3,5,6}:{(96,1),(98,1),(107,1),(108,1),(109,1)}
       104:{3,6,7}:{(97,1),(98,1),(100,1),(107,1)}
       105:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(103,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1400 :   0:{1,2,3,6,7}:{(3,1),(4,1),(40,1),(48,1),(83,1),(84,1),(85,1),(104,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(15,1),(19,1),(41,1),(48,1),(53,1),(84,1),(99,1),(104,1)}
         2:{1,3,4,6,7}:{(4,1),(6,1),(15,1),(22,1),(42,1),(48,1),(57,1),(85,1),(100,1),(104,1)}
         3:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(26,1),(29,1),(58,1),(65,1),(94,1),(95,1)}
         4:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(30,1),(60,1),(71,1),(74,1),(96,1),(103,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(10,1),(11,1),(29,1),(61,1),(70,1)}
         6:{1,3,5,7}:{(2,1),(9,1),(12,1),(13,1),(29,1),(62,1),(73,1)}
         7:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(40,1),(43,1),(48,1),(79,1),(80,1),(81,1),(83,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(75,1),(99,1),(100,1)}
         9:{1,2,5,7}:{(4,1),(5,1),(6,1),(17,1),(79,1),(86,1),(87,1)}
        10:{2,4,5,7}:{(5,1),(18,1),(19,1),(76,1),(99,1)}
        11:{2,3,5,6}:{(5,1),(17,1),(19,1),(48,1),(50,1)}
        12:{1,4,5,7}:{(6,1),(21,1),(22,1),(77,1),(100,1)}
        13:{1,3,5,6}:{(6,1),(17,1),(22,1),(48,1),(54,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(90,1),(91,1)}
        15:{3,4,7}:{(8,1),(24,1),(29,1),(88,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(12,1),(25,1),(29,1),(30,1),(33,1),(37,1),(65,1),(89,1),(103,1)}
        17:{1,2,5,6}:{(9,1),(11,1),(13,1),(30,1),(69,1),(72,1)}
        18:{3,4,5,7}:{(10,1),(29,1),(33,1),(34,1),(59,1),(70,1),(92,1)}
        19:{2,4,6}:{(10,1),(11,1),(34,1)}
        20:{2,3,5,6,7}:{(11,1),(31,1),(35,1),(68,1),(70,1),(94,1)}
        21:{3,4,5,7}:{(12,1),(29,1),(37,1),(38,1),(59,1),(73,1),(92,1)}
        22:{1,4,6}:{(12,1),(13,1),(38,1)}
        23:{1,3,5,6,7}:{(13,1),(31,1),(39,1),(68,1),(73,1),(95,1)}
        24:{3,4,6}:{(14,1),(15,1),(43,1),(48,1)}
        25:{1,2,4,5}:{(14,1),(43,1),(76,1),(77,1),(79,1)}
        26:{1,2,3,7}:{(40,1),(45,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(41,1),(45,1),(46,1),(99,1),(104,1)}
        28:{1,3,4,7}:{(15,1),(42,1),(45,1),(47,1),(100,1),(104,1)}
        29:{3,5,7}:{(15,1),(16,1),(43,1),(48,1),(97,1),(104,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(19,1),(22,1),(48,1),(52,1),(56,1),(83,1)}
        31:{1,2,5,6,7}:{(17,1),(20,1),(23,1),(49,1),(86,1),(87,1),(101,1)}
        32:{2,4,5,6}:{(19,1),(50,1),(51,1)}
        33:{1,4,5,7}:{(18,1),(47,1),(52,1),(77,1),(86,1),(100,1)}
        34:{3,4,6}:{(18,1),(19,1),(48,1),(50,1),(52,1)}
        35:{2,4,6,7}:{(19,1),(20,1),(51,1),(53,1),(99,1)}
        36:{1,4,5,6}:{(22,1),(54,1),(55,1)}
        37:{2,4,5,7}:{(21,1),(46,1),(56,1),(76,1),(87,1),(99,1)}
        38:{3,4,6}:{(21,1),(22,1),(48,1),(54,1),(56,1)}
        39:{1,4,6,7}:{(22,1),(23,1),(55,1),(57,1),(100,1)}
        40:{1,2,3,6}:{(26,1),(58,1),(60,1),(102,1)}
        41:{2,3,4,6}:{(24,1),(27,1),(60,1),(61,1),(66,1),(88,1),(90,1),(102,1)}
        42:{1,3,4,6}:{(24,1),(28,1),(60,1),(62,1),(67,1),(88,1),(91,1),(102,1)}
        43:{3,5}:{(24,1),(25,1)}
        44:{1,2,4,5,6}:{(25,1),(30,1),(32,1),(36,1),(63,1),(64,1),(69,1),(72,1),(90,1),(91,1),(93,1)}
        45:{1,2,4,7}:{(26,1),(27,1),(28,1),(60,1),(65,1)}
        46:{2,3,5,7}:{(27,1),(29,1),(37,1),(61,1),(65,1),(66,1)}
        47:{1,3,5,7}:{(28,1),(29,1),(33,1),(62,1),(65,1),(67,1)}
        48:{3,6}:{(29,1),(30,1)}
        49:{1,2,4,6,7}:{(30,1),(31,1),(35,1),(39,1),(64,1),(68,1),(71,1),(74,1),(96,1),(103,1)}
        50:{3,5,6}:{(32,1),(34,1),(69,1),(70,1)}
        51:{2,4,5,7}:{(32,1),(35,1),(70,1)}
        52:{1,4,6}:{(33,1),(34,1),(67,1),(69,1)}
        53:{3,4,6,7}:{(34,1),(35,1),(68,1),(70,1),(71,1),(92,1)}
        54:{3,5,6}:{(36,1),(38,1),(72,1),(73,1)}
        55:{1,4,5,7}:{(36,1),(39,1),(73,1)}
        56:{2,4,6}:{(37,1),(38,1),(66,1),(72,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(68,1),(73,1),(74,1),(92,1)}
        58:{1,2,3,5}:{(40,1),(75,1),(79,1),(97,1)}
        59:{3,4,5}:{(43,1),(76,1),(77,1),(78,1),(97,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(42,1),(45,1),(75,1),(79,1),(83,1)}
        61:{2,3,5}:{(41,1),(43,1),(76,1),(79,1),(97,1)}
        62:{1,3,5}:{(42,1),(43,1),(77,1),(79,1),(97,1)}
        63:{3,5,6}:{(43,1),(44,1),(48,1),(78,1),(82,1)}
        64:{1,2,4,5,7}:{(44,1),(49,1),(51,1),(55,1),(82,1),(86,1),(87,1),(99,1),(100,1),(101,1)}
        65:{1,2,5,7}:{(45,1),(46,1),(47,1),(79,1),(83,1)}
        66:{2,3,6}:{(46,1),(48,1),(56,1),(83,1)}
        67:{1,3,6}:{(47,1),(48,1),(52,1),(83,1)}
        68:{3,6,7}:{(48,1),(49,1),(82,1),(104,1)}
        69:{1,5,6}:{(50,1),(52,1),(86,1)}
        70:{3,5,7}:{(50,1),(51,1),(53,1),(86,1)}
        71:{1,4,6,7}:{(52,1),(53,1),(85,1),(86,1),(100,1)}
        72:{2,5,6}:{(54,1),(56,1),(87,1)}
        73:{3,5,7}:{(54,1),(55,1),(57,1),(87,1)}
        74:{2,4,6,7}:{(56,1),(57,1),(84,1),(87,1),(99,1)}
        75:{1,2,4}:{(58,1),(88,1)}
        76:{2,4,5}:{(59,1),(61,1),(90,1)}
        77:{1,4,5}:{(59,1),(62,1),(91,1)}
        78:{3,4,6}:{(59,1),(63,1),(90,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(60,1),(61,1),(62,1)}
        80:{2,3,5,6}:{(61,1),(63,1),(66,1),(72,1),(90,1),(93,1),(94,1),(102,1)}
        81:{1,3,5,6}:{(62,1),(63,1),(67,1),(69,1),(91,1),(93,1),(95,1),(102,1)}
        82:{3,5,7}:{(63,1),(64,1),(68,1),(92,1)}
        83:{1,2,6}:{(65,1),(66,1),(67,1)}
        84:{2,3,6,7}:{(66,1),(68,1),(74,1),(94,1),(96,1)}
        85:{1,3,6,7}:{(67,1),(68,1),(71,1),(95,1),(96,1)}
        86:{1,5,7}:{(69,1),(70,1),(71,1)}
        87:{2,5,7}:{(72,1),(73,1),(74,1)}
        88:{3,4}:{(75,1),(97,1)}
        89:{1,2,4,5}:{(75,1),(76,1),(77,1),(79,1),(97,1),(98,1)}
        90:{2,4,6}:{(76,1),(78,1),(80,1),(99,1)}
        91:{1,4,6}:{(77,1),(78,1),(81,1),(100,1)}
        92:{3,4,7}:{(78,1),(82,1),(99,1),(100,1),(104,1)}
        93:{1,2,5,6}:{(79,1),(80,1),(81,1),(83,1),(98,1),(101,1)}
        94:{2,3,5,7}:{(80,1),(82,1),(84,1),(87,1),(99,1),(101,1),(104,1)}
        95:{1,3,5,7}:{(81,1),(82,1),(85,1),(86,1),(100,1),(101,1),(104,1)}
        96:{1,2,6,7}:{(83,1),(84,1),(85,1),(101,1)}
        97:{3,5}:{(88,1),(89,1),(102,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{2,4,7}:{(90,1),(92,1),(94,1)}
       100:{1,4,7}:{(91,1),(92,1),(95,1)}
       101:{1,2,5,7}:{(93,1),(94,1),(95,1),(96,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1401 :   0:{2,3,4,5,7}:{(2,1),(3,1),(16,1),(23,1),(64,1),(106,1),(109,1),(118,1),(159,1),(170,1)}
         1:{1,3,4,5,7}:{(4,1),(5,1),(17,1),(22,1),(54,1),(105,1),(119,1),(122,1),(159,1),(179,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(27,1),(31,1),(70,1),(77,1),(80,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(81,1),(150,1),(183,1),(191,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(27,1),(39,1),(70,1),(89,1),(92,1)}
         5:{1,3,4,6}:{(1,1),(12,1),(13,1),(93,1),(137,1),(183,1),(196,1)}
         6:{2,3,4,6,7}:{(3,1),(15,1),(16,1),(49,1),(102,1),(106,1),(167,1)}
         7:{1,3,5,7}:{(2,1),(17,1),(18,1),(54,1),(159,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(18,1),(19,1),(55,1)}
         9:{2,3,5,6}:{(3,1),(16,1),(19,1),(20,1),(56,1),(64,1),(204,1)}
        10:{1,3,4,6,7}:{(5,1),(21,1),(22,1),(59,1),(115,1),(119,1),(176,1)}
        11:{2,3,5,7}:{(4,1),(23,1),(24,1),(64,1),(159,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(24,1),(25,1),(65,1)}
        13:{1,3,5,6}:{(5,1),(22,1),(25,1),(26,1),(54,1),(66,1),(206,1)}
        14:{1,2,3,5,7}:{(7,1),(11,1),(27,1),(28,1),(70,1)}
        15:{1,2,4,6,7}:{(6,1),(8,1),(30,1),(31,1),(77,1)}
        16:{2,3,5,7}:{(6,1),(9,1),(31,1),(32,1),(78,1),(190,1)}
        17:{1,3,4,7}:{(7,1),(27,1),(33,1),(77,1),(128,1)}
        18:{1,3,6}:{(7,1),(8,1),(183,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(70,1)}
        20:{2,4,5,6}:{(9,1),(32,1),(36,1),(92,1),(150,1)}
        21:{1,2,4,6,7}:{(10,1),(12,1),(38,1),(39,1),(89,1)}
        22:{1,3,5,7}:{(10,1),(13,1),(39,1),(40,1),(90,1),(195,1)}
        23:{2,3,4,7}:{(11,1),(27,1),(41,1),(89,1),(128,1)}
        24:{2,3,6}:{(11,1),(12,1),(183,1)}
        25:{1,2,5,6}:{(12,1),(13,1),(39,1),(42,1),(70,1)}
        26:{1,4,5,6}:{(13,1),(40,1),(44,1),(80,1),(137,1)}
        27:{1,2,4,7}:{(14,1),(17,1),(23,1),(46,1)}
        28:{1,2,3,6}:{(14,1),(18,1),(24,1),(46,1)}
        29:{2,3,5,6,7}:{(16,1),(48,1),(49,1),(100,1),(102,1),(117,1)}
        30:{1,3,6,7}:{(15,1),(18,1),(51,1),(102,1)}
        31:{1,2,5,7}:{(15,1),(16,1),(19,1),(51,1)}
        32:{2,4,5,7}:{(16,1),(20,1),(49,1),(53,1)}
        33:{1,3,4,6}:{(17,1),(18,1),(46,1),(54,1),(55,1),(99,1)}
        34:{1,3,5,6}:{(18,1),(19,1),(51,1),(54,1),(55,1),(56,1)}
        35:{1,2,4,5,6}:{(19,1),(20,1),(52,1),(55,1),(56,1),(57,1),(98,1),(111,1),(112,1),(158,1),(165,1),(204,1)}
        36:{3,4,5,6}:{(20,1),(53,1),(56,1),(57,1),(122,1),(178,1)}
        37:{1,3,5,6,7}:{(22,1),(58,1),(59,1),(104,1),(113,1),(115,1)}
        38:{2,3,6,7}:{(21,1),(24,1),(61,1),(115,1)}
        39:{1,2,5,7}:{(21,1),(22,1),(25,1),(61,1)}
        40:{1,4,5,7}:{(22,1),(26,1),(59,1),(63,1)}
        41:{2,3,4,6}:{(23,1),(24,1),(46,1),(64,1),(65,1),(99,1)}
        42:{2,3,5,6}:{(24,1),(25,1),(61,1),(64,1),(65,1),(66,1)}
        43:{1,2,4,5,6}:{(25,1),(26,1),(62,1),(65,1),(66,1),(67,1),(98,1),(123,1),(125,1),(158,1),(174,1),(206,1)}
        44:{3,4,5,6}:{(26,1),(63,1),(66,1),(67,1),(109,1),(169,1)}
        45:{1,2,3,6,7}:{(28,1),(30,1),(38,1),(68,1),(69,1),(136,1),(148,1),(183,1),(208,1)}
        46:{1,2,4,6}:{(27,1),(28,1),(33,1),(41,1),(70,1)}
        47:{1,2,3,5,6}:{(28,1),(34,1),(42,1),(69,1),(70,1),(71,1),(83,1),(94,1),(126,1),(129,1),(183,1),(187,1),(188,1),(208,1)}
        48:{1,2,5,6,7}:{(29,1),(31,1),(73,1),(74,1),(126,1),(132,1),(190,1)}
        49:{2,4,6,7}:{(29,1),(32,1),(75,1),(150,1)}
        50:{1,3,4,6,7}:{(30,1),(33,1),(68,1),(76,1),(77,1),(128,1),(134,1),(137,1),(183,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(34,1),(77,1),(78,1)}
        52:{1,2,4,5,7}:{(31,1),(32,1),(35,1),(74,1),(77,1),(78,1),(79,1),(133,1),(140,1),(141,1),(190,1)}
        53:{3,4,5,7}:{(32,1),(36,1),(75,1),(78,1),(79,1)}
        54:{1,3,5}:{(33,1),(70,1),(80,1),(129,1)}
        55:{1,4,6}:{(34,1),(77,1),(80,1),(81,1)}
        56:{3,5,6}:{(35,1),(78,1),(81,1),(129,1),(183,1)}
        57:{1,4,5,6}:{(36,1),(79,1),(82,1),(155,1),(196,1)}
        58:{1,2,5,6,7}:{(37,1),(39,1),(85,1),(86,1),(126,1),(145,1),(195,1)}
        59:{1,4,6,7}:{(37,1),(40,1),(87,1),(137,1)}
        60:{2,3,4,6,7}:{(38,1),(41,1),(68,1),(88,1),(89,1),(128,1),(147,1),(150,1),(183,1)}
        61:{2,3,5,7}:{(38,1),(39,1),(42,1),(89,1),(90,1)}
        62:{1,2,4,5,7}:{(39,1),(40,1),(43,1),(86,1),(89,1),(90,1),(91,1),(146,1),(152,1),(154,1),(195,1)}
        63:{3,4,5,7}:{(40,1),(44,1),(87,1),(90,1),(91,1)}
        64:{2,3,5}:{(41,1),(70,1),(92,1),(129,1)}
        65:{2,4,6}:{(42,1),(89,1),(92,1),(93,1)}
        66:{3,5,6}:{(43,1),(90,1),(93,1),(129,1),(183,1)}
        67:{2,4,5,6}:{(44,1),(91,1),(95,1),(143,1),(191,1)}
        68:{1,2,4,6,7}:{(45,1),(46,1),(50,1),(60,1),(96,1),(97,1),(158,1),(167,1),(176,1)}
        69:{1,2,3,5,7}:{(45,1),(47,1),(51,1),(61,1),(96,1),(97,1),(108,1),(120,1),(159,1),(201,1),(202,1)}
        70:{1,2,5}:{(46,1),(54,1),(64,1)}
        71:{1,2,4,6}:{(47,1),(55,1),(65,1),(97,1),(98,1),(99,1),(111,1),(123,1)}
        72:{2,4,5,6,7}:{(49,1),(100,1),(174,1)}
        73:{1,3,5,6,7}:{(48,1),(51,1),(101,1),(102,1),(104,1),(166,1)}
        74:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(101,1),(102,1),(103,1),(158,1),(167,1),(168,1)}
        75:{3,4,6,7}:{(49,1),(53,1),(100,1),(102,1),(103,1),(178,1)}
        76:{1,3,5,7}:{(50,1),(54,1),(96,1),(104,1),(105,1),(159,1),(166,1)}
        77:{1,4,7}:{(51,1),(55,1),(106,1)}
        78:{3,5,7}:{(52,1),(56,1),(102,1),(106,1)}
        79:{1,4,5,7}:{(53,1),(57,1),(103,1),(107,1)}
        80:{1,4,5}:{(54,1),(55,1),(109,1)}
        81:{3,4,6}:{(55,1),(56,1),(106,1),(109,1),(111,1)}
        82:{1,3,5,6}:{(56,1),(57,1),(107,1),(110,1),(112,1),(162,1),(199,1)}
        83:{2,3,5,6}:{(56,1),(108,1),(111,1),(112,1),(163,1),(173,1),(200,1),(204,1)}
        84:{1,4,5,6,7}:{(59,1),(113,1),(165,1)}
        85:{2,3,5,6,7}:{(58,1),(61,1),(114,1),(115,1),(117,1),(175,1)}
        86:{1,2,4,6,7}:{(58,1),(59,1),(62,1),(114,1),(115,1),(116,1),(158,1),(176,1),(177,1)}
        87:{3,4,6,7}:{(59,1),(63,1),(113,1),(115,1),(116,1),(169,1)}
        88:{2,3,5,7}:{(60,1),(64,1),(96,1),(117,1),(118,1),(159,1),(175,1)}
        89:{2,4,7}:{(61,1),(65,1),(119,1)}
        90:{3,5,7}:{(62,1),(66,1),(115,1),(119,1)}
        91:{2,4,5,7}:{(63,1),(67,1),(116,1),(121,1)}
        92:{2,4,5}:{(64,1),(65,1),(122,1)}
        93:{3,4,6}:{(65,1),(66,1),(119,1),(122,1),(123,1)}
        94:{1,3,5,6}:{(66,1),(120,1),(123,1),(125,1),(162,1),(182,1),(199,1),(206,1)}
        95:{2,3,5,6}:{(66,1),(67,1),(121,1),(124,1),(125,1),(163,1),(200,1)}
        96:{1,2,5,7}:{(68,1),(70,1),(76,1),(88,1),(126,1),(190,1),(195,1)}
        97:{1,2,4,7}:{(69,1),(71,1),(77,1),(89,1),(128,1),(140,1),(152,1)}
        98:{1,2,4,5}:{(70,1),(71,1),(80,1),(92,1),(129,1),(143,1),(155,1),(187,1)}
        99:{3,4,6}:{(71,1),(128,1),(129,1),(183,1)}
       100:{3,5,6,7}:{(72,1),(75,1),(132,1),(194,1)}
       101:{1,4,6,7}:{(73,1),(77,1),(133,1),(134,1),(137,1)}
       102:{3,6,7}:{(74,1),(78,1),(183,1)}
       103:{1,4,6,7}:{(75,1),(79,1),(132,1),(135,1),(196,1)}
       104:{1,3,5,6}:{(76,1),(126,1),(137,1),(183,1),(189,1)}
       105:{1,4,5,7}:{(76,1),(77,1),(80,1),(137,1),(138,1)}
       106:{3,4,7}:{(77,1),(78,1),(81,1),(140,1)}
       107:{1,3,5,7}:{(78,1),(79,1),(82,1),(135,1),(139,1),(141,1)}
       108:{2,3,5,7}:{(78,1),(83,1),(136,1),(140,1),(141,1),(190,1),(192,1)}
       109:{3,4,5}:{(80,1),(81,1),(129,1),(143,1)}
       110:{1,3,4,6}:{(81,1),(82,1),(139,1),(142,1),(144,1)}
       111:{2,4,6}:{(81,1),(83,1),(140,1),(143,1)}
       112:{1,2,5,6}:{(82,1),(83,1),(141,1),(144,1),(187,1),(208,1)}
       113:{3,5,6,7}:{(84,1),(87,1),(145,1),(189,1)}
       114:{2,4,6,7}:{(85,1),(89,1),(146,1),(147,1),(150,1)}
       115:{3,6,7}:{(86,1),(90,1),(183,1)}
       116:{2,4,6,7}:{(87,1),(91,1),(145,1),(149,1),(191,1)}
       117:{2,3,5,6}:{(88,1),(126,1),(150,1),(183,1),(194,1)}
       118:{2,4,5,7}:{(88,1),(89,1),(92,1),(150,1),(151,1)}
       119:{3,4,7}:{(89,1),(90,1),(93,1),(152,1)}
       120:{1,3,5,7}:{(90,1),(94,1),(148,1),(152,1),(154,1),(195,1),(197,1)}
       121:{2,3,5,7}:{(90,1),(91,1),(95,1),(149,1),(153,1),(154,1)}
       122:{3,4,5}:{(92,1),(93,1),(129,1),(155,1)}
       123:{1,4,6}:{(93,1),(94,1),(152,1),(155,1)}
       124:{2,3,4,6}:{(93,1),(95,1),(153,1),(156,1),(157,1)}
       125:{1,2,5,6}:{(94,1),(95,1),(154,1),(157,1),(187,1),(208,1)}
       126:{1,2,5,6}:{(96,1),(104,1),(117,1),(158,1),(204,1),(206,1)}
       127:{1,2,4,5,7}:{(96,1),(97,1),(98,1),(105,1),(118,1),(158,1),(159,1),(170,1),(179,1),(201,1)}
       128:{3,4,7}:{(97,1),(99,1),(159,1)}
       129:{3,5}:{(98,1),(99,1)}
       130:{1,3,4,6}:{(99,1),(123,1),(160,1),(162,1),(164,1),(182,1),(199,1),(207,1)}
       131:{2,3,4,6}:{(99,1),(111,1),(161,1),(163,1),(164,1),(173,1),(200,1),(205,1)}
       132:{1,5,6,7}:{(100,1),(103,1),(206,1)}
       133:{1,4,5,7}:{(101,1),(165,1),(166,1)}
       134:{3,4,6,7}:{(101,1),(102,1),(106,1),(166,1),(167,1),(169,1)}
       135:{1,3,6,7}:{(102,1),(103,1),(107,1),(168,1),(199,1)}
       136:{2,3,6,7}:{(102,1),(108,1),(167,1),(168,1),(200,1)}
       137:{1,4,6}:{(104,1),(105,1),(169,1)}
       138:{3,4,5,7}:{(105,1),(106,1),(109,1),(159,1),(166,1),(169,1),(170,1)}
       139:{1,3,4,7}:{(106,1),(107,1),(110,1),(171,1)}
       140:{2,4,7}:{(106,1),(108,1),(111,1)}
       141:{1,2,5,7}:{(107,1),(108,1),(112,1),(168,1),(171,1)}
       142:{1,3,4,5}:{(109,1),(110,1),(162,1),(172,1),(207,1)}
       143:{2,4,5}:{(109,1),(111,1),(163,1)}
       144:{1,2,4,6}:{(110,1),(111,1),(112,1),(171,1),(172,1),(173,1)}
       145:{2,5,6,7}:{(113,1),(116,1),(204,1)}
       146:{2,4,5,7}:{(114,1),(174,1),(175,1)}
       147:{3,4,6,7}:{(114,1),(115,1),(119,1),(175,1),(176,1),(178,1)}
       148:{1,3,6,7}:{(115,1),(120,1),(176,1),(177,1),(199,1)}
       149:{2,3,6,7}:{(115,1),(116,1),(121,1),(177,1),(200,1)}
       150:{2,4,6}:{(117,1),(118,1),(178,1)}
       151:{3,4,5,7}:{(118,1),(119,1),(122,1),(159,1),(175,1),(178,1),(179,1)}
       152:{1,4,7}:{(119,1),(120,1),(123,1)}
       153:{2,3,4,7}:{(119,1),(121,1),(124,1),(180,1)}
       154:{1,2,5,7}:{(120,1),(121,1),(125,1),(177,1),(180,1)}
       155:{1,4,5}:{(122,1),(123,1),(162,1)}
       156:{2,3,4,5}:{(122,1),(124,1),(163,1),(181,1),(205,1)}
       157:{1,2,4,6}:{(123,1),(124,1),(125,1),(180,1),(181,1),(182,1)}
       158:{1,2,4,6}:{(126,1),(127,1),(137,1),(150,1),(183,1),(191,1),(196,1),(208,1)}
       159:{3,5,7}:{(127,1),(128,1),(129,1),(183,1)}
       160:{1,3,4,7}:{(128,1),(130,1),(152,1),(184,1),(186,1),(197,1)}
       161:{2,3,4,7}:{(128,1),(131,1),(140,1),(185,1),(186,1),(192,1)}
       162:{1,3,5}:{(129,1),(130,1),(155,1),(187,1)}
       163:{2,3,5}:{(129,1),(131,1),(143,1),(187,1)}
       164:{1,2,4,6}:{(130,1),(131,1),(186,1),(187,1),(188,1),(208,1),(209,1)}
       165:{1,4,5,6}:{(133,1),(137,1),(189,1)}
       166:{3,5,7}:{(133,1),(134,1),(189,1),(190,1)}
       167:{2,4,6,7}:{(134,1),(136,1),(140,1),(190,1),(191,1)}
       168:{1,2,6,7}:{(135,1),(136,1),(141,1),(208,1)}
       169:{3,4,6}:{(137,1),(138,1),(183,1),(189,1),(191,1)}
       170:{2,4,5,7}:{(138,1),(140,1),(143,1),(185,1),(190,1),(191,1)}
       171:{1,2,4,7}:{(139,1),(140,1),(141,1),(144,1),(192,1)}
       172:{1,2,4,5}:{(142,1),(143,1),(144,1),(187,1),(193,1),(209,1)}
       173:{2,3,6}:{(144,1),(192,1),(193,1)}
       174:{2,4,5,6}:{(146,1),(150,1),(194,1)}
       175:{3,5,7}:{(146,1),(147,1),(194,1),(195,1)}
       176:{1,4,6,7}:{(147,1),(148,1),(152,1),(195,1),(196,1)}
       177:{1,2,6,7}:{(148,1),(149,1),(154,1),(208,1)}
       178:{3,4,6}:{(150,1),(151,1),(183,1),(194,1),(196,1)}
       179:{1,4,5,7}:{(151,1),(152,1),(155,1),(184,1),(195,1),(196,1)}
       180:{1,2,4,7}:{(152,1),(153,1),(154,1),(157,1),(197,1)}
       181:{1,2,4,5}:{(155,1),(156,1),(157,1),(187,1),(198,1),(209,1)}
       182:{1,3,6}:{(157,1),(197,1),(198,1)}
       183:{3,6}:{(158,1),(159,1)}
       184:{1,3,5,7}:{(159,1),(160,1),(162,1),(179,1),(199,1),(201,1)}
       185:{2,3,5,7}:{(159,1),(161,1),(163,1),(170,1),(200,1),(201,1)}
       186:{1,2,4,7}:{(160,1),(161,1),(164,1),(201,1),(202,1)}
       187:{1,2,5}:{(162,1),(163,1),(164,1)}
       188:{1,2,3,6}:{(164,1),(173,1),(182,1),(202,1),(203,1)}
       189:{3,5,6}:{(165,1),(166,1),(169,1),(204,1)}
       190:{2,5,7}:{(166,1),(167,1),(204,1)}
       191:{2,4,6}:{(169,1),(170,1),(200,1),(204,1)}
       192:{2,3,7}:{(171,1),(173,1)}
       193:{2,3,5}:{(172,1),(173,1),(205,1)}
       194:{3,5,6}:{(174,1),(175,1),(178,1),(206,1)}
       195:{1,5,7}:{(175,1),(176,1),(206,1)}
       196:{1,4,6}:{(178,1),(179,1),(199,1),(206,1)}
       197:{1,3,7}:{(180,1),(182,1)}
       198:{1,3,5}:{(181,1),(182,1),(207,1)}
       199:{1,3,6}:{(183,1),(184,1),(196,1),(208,1)}
       200:{2,3,6}:{(183,1),(185,1),(191,1),(208,1)}
       201:{1,2,5,7}:{(184,1),(185,1),(186,1),(187,1),(208,1)}
       202:{1,2,3,7}:{(186,1),(188,1),(192,1),(197,1)}
       203:{1,2,3,5}:{(187,1),(188,1),(193,1),(198,1),(209,1)}
       204:{2,5,6}:{(189,1),(190,1),(191,1)}
       205:{2,3,4}:{(193,1),(209,1)}
       206:{1,5,6}:{(194,1),(195,1),(196,1)}
       207:{1,3,4}:{(198,1),(209,1)}
       208:{1,2,6}:{(199,1),(200,1),(201,1)}
       209:{1,2,4}:{(203,1),(205,1),(207,1)}

1402 :   0:{2,3,4,5}:{(2,1),(3,1),(32,1),(89,1),(142,1)}
         1:{1,3,4,5}:{(4,1),(5,1),(24,1),(77,1),(152,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(9,1),(107,1)}
         3:{1,2,4,5}:{(0,1),(9,1),(10,1),(34,1),(97,1),(110,1)}
         4:{1,3,4,6}:{(1,1),(12,1),(13,1),(14,1),(119,1)}
         5:{1,2,4,5}:{(1,1),(14,1),(15,1),(34,1),(97,1),(122,1)}
         6:{3,4,5,6}:{(17,1),(18,1),(19,1),(72,1),(152,1),(203,1),(226,1)}
         7:{2,3,5,6}:{(2,1),(19,1),(20,1),(21,1),(72,1),(89,1),(155,1)}
         8:{2,3,4,7}:{(2,1),(20,1),(22,1),(141,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(21,1),(22,1),(23,1),(75,1)}
        10:{1,3,5}:{(3,1),(23,1),(24,1)}
        11:{3,4,5,6}:{(25,1),(26,1),(27,1),(84,1),(142,1),(197,1),(228,1)}
        12:{1,3,5,6}:{(4,1),(26,1),(28,1),(29,1),(77,1),(84,1),(145,1)}
        13:{1,3,4,7}:{(4,1),(28,1),(30,1),(151,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(29,1),(30,1),(31,1),(87,1)}
        15:{2,3,5}:{(5,1),(31,1),(32,1)}
        16:{1,2,3,5}:{(10,1),(15,1),(33,1),(34,1),(97,1)}
        17:{3,4,5,7}:{(6,1),(39,1),(40,1),(41,1),(106,1),(214,1)}
        18:{1,4,5,6}:{(6,1),(37,1),(40,1),(177,1),(217,1)}
        19:{2,4,5,6}:{(6,1),(7,1),(41,1),(122,1),(182,1)}
        20:{2,3,5,7}:{(7,1),(8,1),(41,1),(43,1),(44,1),(106,1)}
        21:{1,2,5,6}:{(7,1),(9,1),(44,1),(45,1),(97,1),(165,1)}
        22:{1,2,4,7}:{(8,1),(9,1),(44,1),(46,1),(109,1)}
        23:{1,3,6}:{(9,1),(10,1),(46,1)}
        24:{1,3,4}:{(10,1),(34,1)}
        25:{3,4,5,7}:{(11,1),(50,1),(51,1),(52,1),(118,1),(218,1)}
        26:{1,4,5,6}:{(11,1),(12,1),(51,1),(110,1),(174,1)}
        27:{2,4,5,6}:{(11,1),(48,1),(52,1),(169,1),(213,1)}
        28:{1,3,5,7}:{(12,1),(13,1),(51,1),(54,1),(55,1),(118,1)}
        29:{1,2,5,6}:{(12,1),(14,1),(55,1),(56,1),(97,1),(165,1)}
        30:{1,2,4,7}:{(13,1),(14,1),(55,1),(57,1),(121,1)}
        31:{2,3,6}:{(14,1),(15,1),(57,1)}
        32:{2,3,4}:{(15,1),(34,1)}
        33:{1,2,3,6}:{(16,1),(23,1),(31,1),(62,1),(63,1)}
        34:{1,2,4}:{(16,1),(24,1),(32,1)}
        35:{1,3,4,5}:{(59,1),(64,1),(135,1),(142,1),(188,1)}
        36:{2,3,4,5}:{(60,1),(65,1),(134,1),(152,1),(186,1)}
        37:{1,3,5,6}:{(18,1),(59,1),(66,1),(67,1),(72,1),(188,1),(222,1)}
        38:{4,5,6,7}:{(68,1),(195,1),(228,1)}
        39:{3,4,6,7}:{(17,1),(68,1),(69,1),(70,1),(140,1),(195,1),(203,1)}
        40:{1,4,5,7}:{(17,1),(18,1),(66,1),(69,1)}
        41:{2,4,5,7}:{(17,1),(19,1),(20,1),(70,1)}
        42:{1,2,4,5,6}:{(18,1),(19,1),(21,1),(67,1),(71,1),(72,1),(75,1),(131,1),(138,1),(192,1),(198,1),(225,1),(226,1)}
        43:{2,3,6,7}:{(20,1),(70,1),(73,1),(140,1),(155,1)}
        44:{1,2,5,7}:{(20,1),(21,1),(22,1),(73,1),(74,1)}
        45:{1,3,5,6}:{(21,1),(23,1),(72,1),(74,1),(75,1),(77,1),(145,1),(198,1)}
        46:{1,3,7}:{(22,1),(23,1)}
        47:{1,3,4,6}:{(23,1),(24,1),(63,1),(75,1),(76,1),(77,1),(128,1),(145,1)}
        48:{2,3,5,6}:{(27,1),(60,1),(78,1),(79,1),(84,1),(186,1),(221,1)}
        49:{4,5,6,7}:{(80,1),(201,1),(226,1)}
        50:{3,4,6,7}:{(25,1),(80,1),(81,1),(82,1),(150,1),(197,1),(201,1)}
        51:{1,4,5,7}:{(25,1),(26,1),(28,1),(81,1)}
        52:{2,4,5,7}:{(25,1),(27,1),(78,1),(82,1)}
        53:{1,2,4,5,6}:{(26,1),(27,1),(29,1),(79,1),(83,1),(84,1),(87,1),(131,1),(148,1),(192,1),(204,1),(227,1),(228,1)}
        54:{1,3,6,7}:{(28,1),(81,1),(85,1),(145,1),(150,1)}
        55:{1,2,5,7}:{(28,1),(29,1),(30,1),(85,1),(86,1)}
        56:{2,3,5,6}:{(29,1),(31,1),(84,1),(86,1),(87,1),(89,1),(155,1),(204,1)}
        57:{2,3,7}:{(30,1),(31,1)}
        58:{2,3,4,6}:{(31,1),(32,1),(63,1),(87,1),(88,1),(89,1),(128,1),(155,1)}
        59:{1,3,4,6}:{(35,1),(37,1),(90,1),(91,1),(107,1)}
        60:{2,3,4,6}:{(36,1),(48,1),(92,1),(93,1),(119,1)}
        61:{1,2,3,5,6}:{(33,1),(45,1),(56,1),(94,1),(95,1),(97,1),(102,1),(114,1),(156,1),(162,1),(165,1),(206,1),(210,1),(211,1),(229,1)}
        62:{1,2,3,7}:{(33,1),(46,1),(57,1),(96,1)}
        63:{1,2,4,6}:{(33,1),(34,1),(47,1),(58,1),(96,1),(97,1),(165,1)}
        64:{1,2,4,5}:{(35,1),(91,1),(98,1),(166,1),(169,1),(206,1)}
        65:{1,2,4,5}:{(36,1),(93,1),(99,1),(166,1),(177,1),(206,1)}
        66:{1,3,5,7}:{(37,1),(40,1),(90,1),(100,1),(101,1),(106,1)}
        67:{1,2,5,6}:{(37,1),(91,1),(101,1),(102,1),(206,1),(229,1)}
        68:{3,5,6,7}:{(38,1),(39,1),(103,1),(104,1),(219,1)}
        69:{1,4,6,7}:{(39,1),(40,1),(100,1),(103,1),(217,1)}
        70:{2,4,6,7}:{(39,1),(41,1),(43,1),(104,1),(182,1)}
        71:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(44,1),(101,1),(105,1),(106,1),(109,1),(168,1),(173,1),(212,1),(214,1)}
        72:{3,5,6}:{(42,1),(106,1),(107,1),(162,1),(210,1)}
        73:{1,2,6,7}:{(43,1),(44,1),(108,1),(165,1)}
        74:{1,3,5,7}:{(44,1),(45,1),(46,1),(106,1),(108,1),(109,1),(173,1)}
        75:{1,4,6}:{(45,1),(107,1),(109,1),(110,1)}
        76:{1,3,4,7}:{(46,1),(47,1),(96,1),(109,1),(111,1),(161,1)}
        77:{1,3,5}:{(47,1),(97,1),(110,1),(162,1)}
        78:{2,3,5,7}:{(48,1),(52,1),(92,1),(112,1),(113,1),(118,1)}
        79:{1,2,5,6}:{(48,1),(93,1),(113,1),(114,1),(206,1),(229,1)}
        80:{3,5,6,7}:{(49,1),(50,1),(115,1),(116,1),(215,1)}
        81:{1,4,6,7}:{(50,1),(51,1),(54,1),(115,1),(174,1)}
        82:{2,4,6,7}:{(50,1),(52,1),(112,1),(116,1),(213,1)}
        83:{1,2,4,5,7}:{(51,1),(52,1),(53,1),(55,1),(113,1),(117,1),(118,1),(121,1),(176,1),(181,1),(216,1),(218,1)}
        84:{3,5,6}:{(53,1),(118,1),(119,1),(162,1),(210,1)}
        85:{1,2,6,7}:{(54,1),(55,1),(120,1),(165,1)}
        86:{2,3,5,7}:{(55,1),(56,1),(57,1),(118,1),(120,1),(121,1),(181,1)}
        87:{2,4,6}:{(56,1),(119,1),(121,1),(122,1)}
        88:{2,3,4,7}:{(57,1),(58,1),(96,1),(121,1),(123,1),(161,1)}
        89:{2,3,5}:{(58,1),(97,1),(122,1),(162,1)}
        90:{1,3,4,7}:{(59,1),(66,1),(124,1),(141,1)}
        91:{1,2,4,6}:{(59,1),(64,1),(67,1),(124,1),(125,1),(138,1)}
        92:{2,3,4,7}:{(60,1),(78,1),(126,1),(151,1)}
        93:{1,2,4,6}:{(60,1),(65,1),(79,1),(126,1),(127,1),(148,1)}
        94:{1,2,3,5,7}:{(61,1),(62,1),(74,1),(86,1),(129,1),(130,1),(132,1),(137,1),(147,1),(183,1),(190,1),(191,1),(220,1)}
        95:{1,2,4,6}:{(61,1),(75,1),(87,1),(128,1),(130,1),(131,1),(138,1),(148,1)}
        96:{1,2,4,7}:{(62,1),(63,1),(76,1),(88,1),(132,1)}
        97:{1,2,5}:{(63,1),(77,1),(89,1)}
        98:{2,3,5}:{(64,1),(125,1),(134,1)}
        99:{1,3,5}:{(65,1),(127,1),(135,1)}
       100:{1,3,6,7}:{(66,1),(69,1),(136,1),(140,1),(222,1)}
       101:{1,2,5,7}:{(66,1),(67,1),(124,1),(136,1),(137,1)}
       102:{2,3,5,6}:{(67,1),(72,1),(125,1),(137,1),(138,1),(186,1),(221,1),(225,1)}
       103:{1,5,6,7}:{(68,1),(69,1),(227,1)}
       104:{2,5,6,7}:{(68,1),(70,1),(204,1)}
       105:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(73,1),(136,1),(139,1),(140,1),(143,1),(192,1),(193,1),(195,1)}
       106:{3,5,7}:{(71,1),(72,1),(140,1),(141,1)}
       107:{3,4,6}:{(72,1),(75,1),(138,1),(141,1),(142,1)}
       108:{1,3,6,7}:{(73,1),(74,1),(140,1),(143,1),(145,1)}
       109:{1,4,7}:{(74,1),(75,1),(141,1)}
       110:{1,4,5}:{(75,1),(77,1),(142,1)}
       111:{1,3,5,7}:{(76,1),(77,1),(132,1),(144,1),(145,1),(190,1)}
       112:{2,3,6,7}:{(78,1),(82,1),(146,1),(150,1),(221,1)}
       113:{1,2,5,7}:{(78,1),(79,1),(126,1),(146,1),(147,1)}
       114:{1,3,5,6}:{(79,1),(84,1),(127,1),(147,1),(148,1),(188,1),(222,1),(227,1)}
       115:{1,5,6,7}:{(80,1),(81,1),(198,1)}
       116:{2,5,6,7}:{(80,1),(82,1),(225,1)}
       117:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(85,1),(146,1),(149,1),(150,1),(153,1),(192,1),(199,1),(201,1)}
       118:{3,5,7}:{(83,1),(84,1),(150,1),(151,1)}
       119:{3,4,6}:{(84,1),(87,1),(148,1),(151,1),(152,1)}
       120:{2,3,6,7}:{(85,1),(86,1),(150,1),(153,1),(155,1)}
       121:{2,4,7}:{(86,1),(87,1),(151,1)}
       122:{2,4,5}:{(87,1),(89,1),(152,1)}
       123:{2,3,5,7}:{(88,1),(89,1),(132,1),(154,1),(155,1),(190,1)}
       124:{1,2,4,7}:{(90,1),(91,1),(101,1),(157,1),(168,1)}
       125:{2,3,6}:{(91,1),(98,1),(157,1)}
       126:{1,2,4,7}:{(92,1),(93,1),(113,1),(159,1),(176,1)}
       127:{1,3,6}:{(93,1),(99,1),(159,1)}
       128:{3,4,6}:{(95,1),(161,1),(162,1),(210,1)}
       129:{1,2,3,6,7}:{(94,1),(108,1),(120,1),(163,1),(165,1),(167,1),(175,1),(210,1),(229,1)}
       130:{1,2,4,7}:{(94,1),(95,1),(109,1),(121,1),(161,1),(168,1),(176,1)}
       131:{1,2,4,5}:{(95,1),(97,1),(110,1),(122,1),(162,1),(169,1),(177,1),(206,1)}
       132:{1,2,5,7}:{(96,1),(97,1),(111,1),(123,1),(165,1)}
       133:{1,2,3,5}:{(98,1),(99,1),(156,1),(166,1),(206,1)}
       134:{2,3,4}:{(98,1),(166,1)}
       135:{1,3,4}:{(99,1),(166,1)}
       136:{1,2,6,7}:{(100,1),(101,1),(167,1),(229,1)}
       137:{2,3,5,7}:{(101,1),(102,1),(106,1),(157,1),(167,1),(168,1),(212,1)}
       138:{2,4,6}:{(102,1),(107,1),(168,1),(169,1)}
       139:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(170,1),(173,1),(211,1),(212,1)}
       140:{3,6,7}:{(105,1),(106,1),(210,1)}
       141:{3,4,7}:{(106,1),(107,1),(109,1),(168,1)}
       142:{3,4,5}:{(107,1),(110,1),(162,1),(169,1)}
       143:{1,4,6,7}:{(108,1),(109,1),(171,1),(173,1),(174,1)}
       144:{1,4,5,7}:{(109,1),(110,1),(111,1),(172,1),(173,1),(174,1)}
       145:{1,3,6}:{(111,1),(165,1),(174,1),(210,1)}
       146:{1,2,6,7}:{(112,1),(113,1),(175,1),(229,1)}
       147:{1,3,5,7}:{(113,1),(114,1),(118,1),(159,1),(175,1),(176,1),(216,1)}
       148:{1,4,6}:{(114,1),(119,1),(176,1),(177,1)}
       149:{1,2,5,6,7}:{(115,1),(116,1),(117,1),(178,1),(181,1),(211,1),(216,1)}
       150:{3,6,7}:{(117,1),(118,1),(210,1)}
       151:{3,4,7}:{(118,1),(119,1),(121,1),(176,1)}
       152:{3,4,5}:{(119,1),(122,1),(162,1),(177,1)}
       153:{2,4,6,7}:{(120,1),(121,1),(179,1),(181,1),(182,1)}
       154:{2,4,5,7}:{(121,1),(122,1),(123,1),(180,1),(181,1),(182,1)}
       155:{2,3,6}:{(123,1),(165,1),(182,1),(210,1)}
       156:{1,2,3,6}:{(125,1),(127,1),(133,1),(183,1),(184,1)}
       157:{2,3,7}:{(124,1),(125,1)}
       158:{2,3,4,6}:{(125,1),(128,1),(134,1),(138,1),(184,1),(185,1),(186,1),(221,1)}
       159:{1,3,7}:{(126,1),(127,1)}
       160:{1,3,4,6}:{(127,1),(128,1),(135,1),(148,1),(184,1),(187,1),(188,1),(222,1)}
       161:{3,4,7}:{(128,1),(130,1),(190,1)}
       162:{3,5}:{(128,1),(131,1)}
       163:{1,2,4,6,7}:{(129,1),(130,1),(143,1),(153,1),(189,1),(191,1),(192,1),(193,1),(199,1)}
       164:{1,2,4,5,7}:{(130,1),(131,1),(132,1),(144,1),(154,1),(190,1),(191,1),(192,1),(194,1),(200,1),(220,1),(223,1)}
       165:{1,2,6}:{(132,1),(145,1),(155,1)}
       166:{1,2,4}:{(133,1),(134,1),(135,1)}
       167:{2,3,6,7}:{(136,1),(137,1),(140,1),(193,1),(221,1)}
       168:{2,4,7}:{(137,1),(138,1),(141,1)}
       169:{2,4,5}:{(138,1),(142,1),(186,1)}
       170:{3,5,6,7}:{(139,1),(140,1),(195,1),(196,1),(224,1)}
       171:{3,4,6,7}:{(140,1),(141,1),(143,1),(193,1),(195,1),(196,1),(197,1)}
       172:{3,4,5,7}:{(141,1),(142,1),(144,1),(190,1),(194,1),(196,1),(197,1),(223,1)}
       173:{1,5,7}:{(143,1),(196,1),(198,1)}
       174:{1,4,6}:{(144,1),(145,1),(197,1),(198,1)}
       175:{1,3,6,7}:{(146,1),(147,1),(150,1),(199,1),(222,1)}
       176:{1,4,7}:{(147,1),(148,1),(151,1)}
       177:{1,4,5}:{(148,1),(152,1),(188,1)}
       178:{3,5,6,7}:{(149,1),(150,1),(201,1),(202,1),(224,1)}
       179:{3,4,6,7}:{(150,1),(151,1),(153,1),(199,1),(201,1),(202,1),(203,1)}
       180:{3,4,5,7}:{(151,1),(152,1),(154,1),(190,1),(200,1),(202,1),(203,1),(223,1)}
       181:{2,5,7}:{(153,1),(202,1),(204,1)}
       182:{2,4,6}:{(154,1),(155,1),(203,1),(204,1)}
       183:{1,2,3,7}:{(156,1),(157,1),(159,1),(205,1)}
       184:{1,2,4,6}:{(156,1),(158,1),(160,1),(166,1),(205,1),(206,1),(229,1)}
       185:{2,3,4,7}:{(157,1),(158,1),(161,1),(168,1),(205,1),(207,1)}
       186:{2,3,5}:{(158,1),(162,1),(169,1),(206,1)}
       187:{1,3,4,7}:{(159,1),(160,1),(161,1),(176,1),(205,1),(208,1)}
       188:{1,3,5}:{(160,1),(162,1),(177,1),(206,1)}
       189:{3,4,6,7}:{(161,1),(163,1),(209,1),(210,1),(230,1)}
       190:{3,5,7}:{(161,1),(162,1),(164,1),(210,1)}
       191:{1,2,5,7}:{(163,1),(173,1),(181,1),(209,1),(211,1),(212,1),(216,1)}
       192:{1,2,4,6}:{(164,1),(165,1),(174,1),(182,1),(210,1),(211,1),(213,1),(217,1),(229,1),(230,1)}
       193:{2,4,6,7}:{(167,1),(168,1),(171,1),(212,1),(213,1)}
       194:{2,4,5,7}:{(168,1),(169,1),(172,1),(207,1),(212,1),(213,1)}
       195:{4,6,7}:{(170,1),(214,1),(230,1)}
       196:{3,5,7}:{(171,1),(173,1),(212,1),(214,1),(215,1)}
       197:{3,4,6}:{(172,1),(174,1),(210,1),(213,1),(215,1),(230,1)}
       198:{1,5,6}:{(173,1),(174,1),(215,1)}
       199:{1,4,6,7}:{(175,1),(176,1),(179,1),(216,1),(217,1)}
       200:{1,4,5,7}:{(176,1),(177,1),(180,1),(208,1),(216,1),(217,1)}
       201:{4,6,7}:{(178,1),(218,1),(230,1)}
       202:{3,5,7}:{(179,1),(181,1),(216,1),(218,1),(219,1)}
       203:{3,4,6}:{(180,1),(182,1),(210,1),(217,1),(219,1),(230,1)}
       204:{2,5,6}:{(181,1),(182,1),(219,1)}
       205:{1,2,4,7}:{(183,1),(184,1),(185,1),(187,1),(220,1)}
       206:{1,2,5}:{(184,1),(186,1),(188,1)}
       207:{2,3,5,7}:{(185,1),(186,1),(190,1),(194,1),(220,1),(221,1)}
       208:{1,3,5,7}:{(187,1),(188,1),(190,1),(200,1),(220,1),(222,1)}
       209:{3,5,7}:{(189,1),(191,1),(223,1),(224,1)}
       210:{3,6}:{(190,1),(192,1)}
       211:{1,2,5,6}:{(191,1),(192,1),(198,1),(204,1),(224,1),(225,1),(227,1)}
       212:{2,5,7}:{(193,1),(196,1),(225,1)}
       213:{2,4,6}:{(194,1),(197,1),(221,1),(225,1)}
       214:{4,5,7}:{(195,1),(196,1),(226,1)}
       215:{3,5,6}:{(196,1),(197,1),(198,1),(225,1),(226,1)}
       216:{1,5,7}:{(199,1),(202,1),(227,1)}
       217:{1,4,6}:{(200,1),(203,1),(222,1),(227,1)}
       218:{4,5,7}:{(201,1),(202,1),(228,1)}
       219:{3,5,6}:{(202,1),(203,1),(204,1),(227,1),(228,1)}
       220:{1,2,5,7}:{(205,1),(206,1),(207,1),(208,1),(229,1)}
       221:{2,3,6}:{(207,1),(210,1),(213,1),(229,1)}
       222:{1,3,6}:{(208,1),(210,1),(217,1),(229,1)}
       223:{4,5,7}:{(209,1),(230,1)}
       224:{3,5,6}:{(209,1),(210,1),(211,1),(230,1)}
       225:{2,5,6}:{(212,1),(213,1),(215,1)}
       226:{4,5,6}:{(214,1),(215,1),(230,1)}
       227:{1,5,6}:{(216,1),(217,1),(219,1)}
       228:{4,5,6}:{(218,1),(219,1),(230,1)}
       229:{1,2,6}:{(220,1),(221,1),(222,1)}
       230:{4,6}:{(223,1),(224,1)}

1403 :   0:{2,3,4,6,7}:{(1,1),(2,1),(15,1),(21,1),(38,1),(40,1),(48,1),(76,1),(86,1),(111,1),(117,1)}
         1:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(23,1),(24,1),(36,1),(69,1),(103,1),(123,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(25,1),(35,1),(93,1),(120,1)}
         3:{1,3,5,6,7}:{(9,1),(10,1),(22,1),(31,1),(32,1),(63,1),(67,1)}
         4:{2,3,5,6,7}:{(7,1),(9,1),(11,1),(31,1),(35,1),(68,1),(101,1)}
         5:{1,3,6,7}:{(1,1),(12,1),(40,1),(117,1),(133,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(12,1),(13,1),(53,1),(130,1)}
         7:{2,3,5,6}:{(2,1),(13,1),(15,1),(40,1),(44,1)}
         8:{2,4,5,7}:{(2,1),(15,1),(16,1),(86,1),(108,1)}
         9:{1,2,5,6,7}:{(3,1),(4,1),(13,1),(17,1),(51,1),(53,1),(84,1),(87,1)}
        10:{1,4,6,7}:{(3,1),(18,1),(19,1),(37,1),(82,1),(85,1)}
        11:{2,4,6,7}:{(4,1),(15,1),(20,1),(21,1),(86,1),(115,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(22,1),(23,1),(25,1),(136,1)}
        13:{1,2,5,6}:{(6,1),(7,1),(22,1),(24,1),(65,1),(93,1)}
        14:{1,2,4,5,7}:{(6,1),(8,1),(23,1),(24,1),(25,1),(29,1),(54,1),(57,1),(61,1),(93,1),(103,1),(121,1)}
        15:{2,4,6}:{(7,1),(8,1),(28,1)}
        16:{3,4,5,7}:{(8,1),(25,1),(28,1),(29,1),(35,1),(66,1),(91,1)}
        17:{1,2,4,6,7}:{(9,1),(10,1),(11,1),(24,1),(30,1),(31,1),(34,1),(36,1),(69,1),(100,1),(103,1)}
        18:{1,4,5,7}:{(10,1),(26,1),(32,1),(54,1)}
        19:{3,4,6,7}:{(10,1),(31,1),(32,1),(34,1),(55,1),(62,1),(66,1)}
        20:{2,4,5,7}:{(11,1),(27,1),(35,1),(127,1)}
        21:{3,4,6,7}:{(11,1),(28,1),(31,1),(35,1),(36,1),(66,1),(126,1)}
        22:{1,3,5,6}:{(12,1),(13,1),(37,1),(40,1),(74,1)}
        23:{1,4,7}:{(12,1),(37,1),(38,1),(139,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(15,1),(37,1),(40,1),(45,1),(76,1),(81,1)}
        25:{3,5,7}:{(14,1),(38,1),(40,1),(74,1),(117,1),(131,1)}
        26:{1,4,5,6}:{(18,1),(43,1),(82,1)}
        27:{2,4,5,6}:{(15,1),(20,1),(44,1)}
        28:{3,4,6}:{(15,1),(16,1),(40,1),(44,1),(45,1)}
        29:{1,4,5,7}:{(16,1),(41,1),(45,1),(53,1),(85,1),(107,1)}
        30:{1,2,4,5,7}:{(17,1),(18,1),(20,1),(39,1),(46,1),(51,1),(53,1),(85,1),(86,1),(87,1)}
        31:{3,6,7}:{(17,1),(40,1),(46,1),(114,1),(117,1)}
        32:{3,5,7}:{(18,1),(19,1),(43,1),(51,1),(74,1)}
        33:{1,3,4,6,7}:{(19,1),(47,1),(50,1),(52,1),(75,1),(82,1),(85,1),(114,1),(117,1),(119,1),(134,1)}
        34:{2,4,6,7}:{(19,1),(48,1),(51,1),(76,1),(83,1),(86,1)}
        35:{3,5,7}:{(20,1),(21,1),(44,1),(53,1),(135,1)}
        36:{1,4,6,7}:{(21,1),(45,1),(47,1),(53,1),(85,1),(134,1)}
        37:{1,4,6}:{(22,1),(23,1),(54,1),(55,1)}
        38:{3,4,7}:{(23,1),(25,1),(55,1),(57,1),(137,1)}
        39:{1,2,4,5,6}:{(24,1),(26,1),(27,1),(30,1),(54,1),(58,1),(64,1),(65,1),(93,1),(96,1),(97,1),(98,1),(100,1),(121,1),(127,1),(138,1)}
        40:{3,6}:{(24,1),(25,1)}
        41:{1,3,5,7}:{(25,1),(29,1),(56,1),(59,1),(61,1),(92,1)}
        42:{2,3,5,7}:{(25,1),(57,1),(60,1),(61,1),(93,1),(95,1),(122,1)}
        43:{3,5,6}:{(26,1),(32,1),(62,1),(64,1)}
        44:{3,5,6}:{(27,1),(28,1),(35,1),(65,1)}
        45:{1,4,6}:{(28,1),(29,1),(59,1),(65,1)}
        46:{3,5,7}:{(30,1),(31,1),(58,1),(66,1)}
        47:{1,3,6,7}:{(31,1),(36,1),(59,1),(67,1),(69,1),(125,1)}
        48:{2,3,6,7}:{(31,1),(34,1),(60,1),(68,1),(69,1),(99,1)}
        49:{3,4,5,7}:{(32,1),(62,1),(66,1),(70,1),(71,1),(91,1),(105,1)}
        50:{1,3,5,7}:{(32,1),(33,1),(63,1),(70,1),(72,1),(92,1),(105,1),(138,1)}
        51:{2,5,7}:{(32,1),(34,1),(64,1),(93,1)}
        52:{1,2,4,6,7}:{(33,1),(34,1),(69,1),(72,1),(73,1),(94,1),(100,1),(103,1),(106,1)}
        53:{1,5,7}:{(35,1),(36,1),(65,1),(138,1)}
        54:{1,4,5}:{(37,1),(74,1)}
        55:{3,4,6}:{(37,1),(38,1),(40,1),(74,1),(76,1)}
        56:{1,3,4,7}:{(38,1),(41,1),(75,1),(77,1),(85,1),(117,1)}
        57:{2,4,7}:{(38,1),(42,1),(76,1),(132,1)}
        58:{3,5,6}:{(39,1),(40,1),(46,1),(74,1),(78,1),(114,1),(131,1),(135,1)}
        59:{1,3,6}:{(40,1),(41,1),(45,1),(81,1)}
        60:{2,3,6}:{(40,1),(42,1),(76,1),(81,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(77,1),(81,1),(109,1)}
        62:{3,4,6}:{(43,1),(49,1),(82,1),(83,1),(114,1)}
        63:{1,3,5,6}:{(43,1),(50,1),(82,1),(84,1),(114,1)}
        64:{2,5,6}:{(43,1),(51,1),(83,1)}
        65:{1,5,6}:{(44,1),(45,1),(53,1)}
        66:{3,4,7}:{(46,1),(78,1),(85,1),(86,1),(117,1)}
        67:{1,3,5,7}:{(46,1),(47,1),(53,1),(79,1),(85,1),(87,1),(117,1)}
        68:{2,3,5,7}:{(46,1),(48,1),(51,1),(80,1),(86,1),(87,1),(117,1)}
        69:{1,2,6,7}:{(47,1),(48,1),(81,1),(87,1),(113,1)}
        70:{1,4,5,7}:{(49,1),(50,1),(82,1),(85,1),(107,1)}
        71:{2,4,5,7}:{(49,1),(51,1),(83,1),(86,1),(88,1),(108,1)}
        72:{1,2,5,7}:{(50,1),(51,1),(52,1),(84,1),(90,1),(109,1)}
        73:{2,3,6,7}:{(52,1),(90,1),(110,1),(114,1),(117,1)}
        74:{3,5}:{(54,1),(55,1),(93,1)}
        75:{1,3,4,6}:{(55,1),(56,1),(59,1),(92,1),(94,1),(96,1),(124,1),(137,1)}
        76:{2,4,6}:{(55,1),(57,1),(60,1),(93,1)}
        77:{1,2,4,7}:{(56,1),(57,1),(61,1),(94,1),(95,1)}
        78:{3,4,6}:{(58,1),(66,1),(91,1),(96,1),(97,1),(124,1),(137,1)}
        79:{1,3,5,6}:{(58,1),(59,1),(65,1),(67,1),(92,1),(96,1),(98,1),(124,1),(125,1),(136,1),(138,1)}
        80:{2,3,5,6}:{(58,1),(60,1),(64,1),(68,1),(93,1),(97,1),(98,1),(99,1),(120,1),(122,1),(124,1)}
        81:{1,2,6}:{(59,1),(60,1),(61,1)}
        82:{1,4,6}:{(62,1),(63,1),(70,1)}
        83:{2,4,6}:{(62,1),(64,1),(71,1),(99,1)}
        84:{1,2,5,6}:{(63,1),(64,1),(72,1),(100,1),(101,1),(138,1)}
        85:{1,4,7}:{(66,1),(67,1),(96,1)}
        86:{2,4,7}:{(66,1),(68,1),(97,1)}
        87:{1,2,5,7}:{(67,1),(68,1),(69,1),(98,1),(103,1)}
        88:{2,3,5,7}:{(71,1),(99,1),(102,1),(104,1),(105,1),(120,1)}
        89:{1,2,4,5,7}:{(70,1),(71,1),(72,1),(100,1),(103,1),(104,1),(105,1),(106,1),(121,1),(127,1),(129,1),(138,1)}
        90:{2,3,5,7}:{(72,1),(73,1),(101,1),(105,1),(106,1),(122,1)}
        91:{3,4,5}:{(74,1),(78,1),(107,1),(108,1),(131,1),(135,1)}
        92:{1,3,5}:{(74,1),(75,1),(107,1),(109,1),(131,1)}
        93:{2,5}:{(74,1),(76,1)}
        94:{1,2,4,6}:{(75,1),(76,1),(77,1),(81,1),(109,1),(110,1),(132,1)}
        95:{2,3,7}:{(77,1),(110,1),(117,1)}
        96:{1,4,6}:{(78,1),(79,1),(85,1),(107,1),(139,1)}
        97:{2,4,6}:{(78,1),(80,1),(86,1),(108,1),(132,1)}
        98:{1,2,5,6}:{(79,1),(80,1),(81,1),(87,1),(109,1),(112,1),(113,1),(130,1)}
        99:{2,3,6}:{(83,1),(88,1),(113,1),(114,1)}
       100:{1,2,4,6}:{(82,1),(83,1),(84,1),(89,1),(113,1),(114,1),(115,1),(134,1)}
       101:{2,3,5,6}:{(84,1),(90,1),(114,1),(115,1),(135,1)}
       102:{2,3,4,7}:{(86,1),(88,1),(111,1),(116,1),(117,1),(119,1)}
       103:{1,2,4,7}:{(85,1),(86,1),(87,1),(112,1),(117,1)}
       104:{1,2,5,7}:{(88,1),(113,1),(116,1),(118,1),(130,1)}
       105:{3,5,7}:{(89,1),(114,1),(117,1),(119,1),(131,1),(135,1)}
       106:{2,4,7}:{(90,1),(115,1),(119,1),(132,1)}
       107:{1,4,5}:{(91,1),(92,1),(96,1),(138,1)}
       108:{2,4,5}:{(91,1),(93,1),(97,1),(120,1)}
       109:{1,2,5}:{(92,1),(93,1),(94,1),(122,1)}
       110:{2,3,6}:{(94,1),(95,1),(122,1),(124,1)}
       111:{2,3,4,6}:{(97,1),(99,1),(102,1),(120,1),(123,1),(124,1),(126,1),(137,1)}
       112:{1,2,4,6}:{(96,1),(97,1),(98,1),(103,1),(121,1),(124,1)}
       113:{1,2,6}:{(99,1),(104,1),(125,1)}
       114:{3,6}:{(100,1),(105,1)}
       115:{2,4,6}:{(101,1),(106,1),(126,1),(127,1)}
       116:{1,2,4,7}:{(102,1),(104,1),(123,1),(128,1),(129,1)}
       117:{3,7}:{(103,1),(124,1)}
       118:{1,3,5,7}:{(104,1),(105,1),(125,1),(128,1),(129,1),(136,1),(138,1)}
       119:{3,4,7}:{(105,1),(106,1),(126,1),(129,1),(137,1)}
       120:{2,3,5}:{(108,1),(111,1),(130,1),(131,1),(135,1)}
       121:{1,2,4,5}:{(107,1),(108,1),(109,1),(112,1),(130,1),(131,1),(132,1),(139,1)}
       122:{2,3,5}:{(109,1),(110,1),(131,1),(132,1)}
       123:{1,2,4,6}:{(111,1),(113,1),(116,1),(130,1),(133,1),(134,1),(139,1)}
       124:{3,6}:{(112,1),(117,1),(131,1)}
       125:{1,3,6}:{(113,1),(114,1),(118,1),(134,1)}
       126:{3,4,6}:{(114,1),(115,1),(119,1),(134,1),(135,1)}
       127:{2,4,5}:{(115,1),(135,1)}
       128:{1,3,7}:{(116,1),(117,1),(133,1)}
       129:{1,4,7}:{(118,1),(119,1),(134,1),(139,1)}
       130:{1,2,5}:{(120,1),(123,1),(136,1),(138,1)}
       131:{3,5}:{(121,1),(124,1),(137,1)}
       132:{2,4}:{(122,1),(137,1)}
       133:{1,3,6}:{(123,1),(124,1),(128,1),(136,1)}
       134:{1,4,6}:{(125,1),(126,1),(129,1),(138,1)}
       135:{3,5}:{(126,1),(127,1),(138,1)}
       136:{1,3,5}:{(130,1),(131,1),(133,1),(139,1)}
       137:{3,4}:{(131,1),(132,1),(139,1)}
       138:{1,5}:{(134,1),(135,1)}
       139:{1,4}:{(136,1),(137,1)}

1404 :   0:{1,3,4,5,6}:{(1,1),(2,1),(18,1),(57,1),(63,1)}
         1:{1,2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(49,1),(52,1)}
         2:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(28,1),(48,1),(53,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(40,1),(43,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(44,1)}
         6:{1,2,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(47,1),(49,1)}
         7:{2,3,4,6}:{(3,1),(11,1),(13,1),(14,1)}
         8:{2,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,2,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(34,1)}
        10:{1,3,5,6,7}:{(5,1),(16,1),(17,1),(35,1),(48,1)}
        11:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
        12:{1,2,3,5,7}:{(6,1),(8,1),(20,1),(21,1),(37,1),(40,1)}
        13:{2,3,4,5}:{(7,1),(19,1)}
        14:{2,3,4,7}:{(7,1),(8,1),(20,1)}
        15:{2,3,6,7}:{(8,1),(9,1)}
        16:{1,2,5,6,7}:{(9,1),(10,1),(24,1),(40,1)}
        17:{1,4,5,6,7}:{(10,1),(26,1),(58,1)}
        18:{1,3,4,6}:{(11,1),(27,1),(28,1),(47,1)}
        19:{1,2,4,5}:{(11,1),(13,1),(27,1)}
        20:{1,2,4,7}:{(11,1),(12,1),(14,1),(28,1)}
        21:{1,2,3,6,7}:{(12,1),(15,1),(30,1),(47,1)}
        22:{2,3,4,5,7}:{(13,1),(14,1),(29,1),(32,1),(33,1),(68,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1),(51,1)}
        24:{2,3,5,6,7}:{(15,1),(16,1),(33,1),(34,1),(35,1)}
        25:{1,2,4,5,6,7}:{(16,1),(17,1),(34,1),(35,1),(36,1),(50,1),(54,1),(56,1)}
        26:{3,4,5,6,7}:{(17,1),(35,1),(36,1),(68,1)}
        27:{1,3,5}:{(18,1),(19,1)}
        28:{1,3,4,7}:{(18,1),(20,1),(37,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(39,1),(40,1),(58,1)}
        30:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(39,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(24,1),(40,1),(41,1),(45,1),(57,1),(60,1),(81,1),(82,1),(83,1)}
        32:{2,3,4,6}:{(22,1),(39,1),(42,1),(77,1)}
        33:{2,3,5,7}:{(23,1),(40,1),(42,1),(43,1),(60,1)}
        34:{2,4,6,7}:{(24,1),(43,1),(44,1)}
        35:{3,5,6,7}:{(25,1),(44,1),(60,1)}
        36:{2,4,5,6,7}:{(26,1),(46,1),(79,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(47,1)}
        38:{1,3,4,6,7}:{(28,1),(30,1),(47,1),(48,1),(51,1),(67,1)}
        39:{1,2,4,6}:{(29,1),(32,1),(47,1),(49,1),(67,1)}
        40:{1,2,5,7}:{(30,1),(33,1),(48,1),(49,1)}
        41:{1,2,4,6,7}:{(31,1),(34,1),(50,1),(51,1),(54,1),(67,1),(87,1)}
        42:{2,3,5,6}:{(32,1),(33,1),(49,1),(52,1),(69,1)}
        43:{2,4,5,7}:{(33,1),(34,1),(52,1),(53,1)}
        44:{3,4,6,7}:{(34,1),(35,1),(53,1),(54,1)}
        45:{1,3,5,6,7}:{(35,1),(54,1),(56,1),(70,1),(76,1)}
        46:{2,3,5,6,7}:{(35,1),(36,1),(55,1),(56,1),(71,1)}
        47:{1,3,6}:{(37,1),(39,1)}
        48:{1,3,5,7}:{(38,1),(40,1),(57,1),(58,1),(60,1)}
        49:{1,2,5,6}:{(39,1),(40,1),(42,1),(57,1)}
        50:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(58,1),(59,1),(60,1),(64,1),(79,1),(82,1)}
        51:{3,4,6,7}:{(41,1),(60,1),(77,1)}
        52:{2,4,5,6}:{(42,1),(43,1),(63,1)}
        53:{3,4,5,7}:{(43,1),(44,1),(60,1),(63,1),(64,1)}
        54:{1,4,6,7}:{(44,1),(45,1),(64,1)}
        55:{2,3,4,6,7}:{(44,1),(46,1),(65,1),(66,1)}
        56:{1,2,5,6,7}:{(45,1),(46,1),(66,1),(82,1)}
        57:{1,3,5,6}:{(47,1),(48,1),(49,1),(67,1),(69,1)}
        58:{1,4,5,7}:{(48,1),(67,1),(68,1)}
        59:{1,2,4,5,6}:{(49,1),(50,1),(52,1),(67,1),(69,1),(73,1),(87,1),(89,1)}
        60:{3,5,7}:{(50,1),(51,1),(69,1)}
        61:{1,3,4,6,7}:{(51,1),(54,1),(70,1),(72,1),(76,1),(86,1),(92,1)}
        62:{2,3,4,6,7}:{(51,1),(71,1),(72,1),(87,1),(98,1),(99,1)}
        63:{3,4,5,6}:{(52,1),(53,1),(69,1),(73,1)}
        64:{1,4,5,7}:{(53,1),(54,1),(70,1),(73,1)}
        65:{2,3,4,5,7}:{(53,1),(55,1),(71,1),(74,1),(75,1),(99,1)}
        66:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(75,1),(76,1)}
        67:{1,4,6}:{(57,1),(58,1),(77,1)}
        68:{3,4,5,7}:{(58,1),(60,1),(77,1),(79,1)}
        69:{3,5,6}:{(59,1),(60,1),(77,1)}
        70:{1,3,5,7}:{(60,1),(61,1),(64,1),(80,1),(82,1)}
        71:{2,3,5,7}:{(60,1),(62,1),(79,1),(81,1),(82,1)}
        72:{1,2,4,6,7}:{(61,1),(62,1),(82,1),(83,1),(93,1),(96,1)}
        73:{1,4,5,6}:{(63,1),(64,1),(80,1)}
        74:{2,3,4,5,6}:{(63,1),(65,1),(81,1),(84,1),(102,1)}
        75:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(82,1),(84,1),(85,1),(96,1)}
        76:{1,3,6,7}:{(66,1),(85,1)}
        77:{3,4,6}:{(67,1),(68,1),(69,1),(87,1)}
        78:{1,3,4,5,7}:{(68,1),(70,1),(86,1),(88,1),(92,1),(101,1)}
        79:{2,4,5,7}:{(68,1),(71,1),(87,1)}
        80:{1,3,5,6}:{(69,1),(70,1),(73,1),(86,1),(89,1)}
        81:{2,3,5,6}:{(69,1),(71,1),(87,1),(89,1),(98,1)}
        82:{1,2,5,7}:{(70,1),(71,1),(72,1),(89,1)}
        83:{1,2,3,6,7}:{(72,1),(76,1),(90,1),(98,1)}
        84:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(89,1),(91,1),(100,1)}
        85:{1,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,3,4,6}:{(77,1),(78,1),(80,1),(93,1)}
        87:{2,4,6}:{(77,1),(79,1),(81,1)}
        88:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(93,1),(94,1),(96,1),(103,1)}
        89:{1,2,5,6}:{(80,1),(81,1),(82,1),(93,1)}
        90:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(94,1),(95,1),(96,1)}
        91:{1,3,5,6}:{(84,1),(85,1),(97,1)}
        92:{1,3,4,7}:{(85,1),(96,1),(97,1)}
        93:{1,2,4,6}:{(86,1),(87,1),(88,1),(89,1),(98,1)}
        94:{2,3,5,7}:{(88,1),(98,1),(99,1),(104,1)}
        95:{1,2,3,5,6}:{(89,1),(90,1),(91,1),(98,1),(100,1),(104,1)}
        96:{1,2,4,7}:{(90,1),(92,1),(99,1),(100,1)}
        97:{1,3,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{2,3,6}:{(93,1),(94,1)}
        99:{2,3,4,7}:{(94,1),(96,1),(102,1)}
       100:{1,2,4,6}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{1,3,4,5}:{(97,1),(103,1)}
       102:{2,3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       103:{1,2,4,5}:{(100,1),(101,1),(104,1)}
       104:{2,3,5}:{(102,1),(103,1)}

1405 :   0:{2,4,5,6,7}:{(1,1),(7,1),(183,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(196,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(26,1),(181,1)}
         3:{1,5,6,7}:{(1,1),(6,1),(204,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(22,1),(26,1),(144,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(11,1),(12,1),(36,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(11,1),(13,1),(194,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(12,1),(165,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(15,1),(16,1),(35,1),(72,1),(119,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(44,1),(173,1),(181,1)}
        10:{2,3,4,5,7}:{(19,1),(20,1),(22,1),(51,1),(81,1),(84,1),(90,1),(131,1),(139,1),(143,1)}
        11:{1,4,5,7}:{(5,1),(6,1),(17,1),(21,1)}
        12:{2,4,5,7}:{(5,1),(7,1),(18,1),(22,1)}
        13:{1,3,6,7}:{(6,1),(21,1),(24,1),(26,1),(179,1)}
        14:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(25,1),(26,1),(51,1),(53,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(23,1),(24,1),(26,1),(27,1),(53,1),(140,1)}
        16:{1,3,5,6,7}:{(8,1),(26,1),(27,1),(50,1),(55,1),(96,1)}
        17:{1,4,5,6}:{(9,1),(11,1),(28,1),(188,1),(194,1)}
        18:{2,4,5,6}:{(9,1),(12,1),(29,1),(155,1),(165,1)}
        19:{2,3,4,6}:{(10,1),(29,1),(31,1),(61,1),(115,1),(163,1),(165,1)}
        20:{1,2,4,5,7}:{(10,1),(31,1),(32,1),(35,1),(64,1),(69,1),(103,1),(106,1)}
        21:{1,3,5,7}:{(11,1),(13,1),(28,1),(33,1),(34,1),(36,1)}
        22:{2,3,5,7}:{(12,1),(14,1),(29,1),(35,1),(36,1),(72,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(15,1),(30,1),(34,1),(35,1),(36,1),(40,1),(68,1),(69,1),(72,1)}
        24:{1,2,6,7}:{(13,1),(34,1),(37,1),(160,1)}
        25:{1,2,4,6,7}:{(14,1),(31,1),(35,1),(38,1),(69,1)}
        26:{3,6,7}:{(15,1),(36,1),(163,1)}
        27:{1,4,6,7}:{(16,1),(39,1),(40,1),(69,1),(116,1)}
        28:{1,3,5,6}:{(17,1),(21,1),(41,1),(42,1),(44,1),(170,1),(179,1)}
        29:{2,3,5,6}:{(18,1),(19,1),(22,1),(43,1),(44,1),(95,1),(131,1)}
        30:{1,2,4,5,6}:{(17,1),(18,1),(23,1),(42,1),(43,1),(44,1),(56,1),(79,1),(80,1),(95,1),(127,1),(140,1)}
        31:{1,2,4,6}:{(19,1),(20,1),(43,1),(45,1),(80,1)}
        32:{1,3,5,7}:{(20,1),(45,1),(47,1),(83,1),(139,1)}
        33:{1,3,4,7}:{(21,1),(41,1),(48,1),(51,1)}
        34:{1,2,5,7}:{(21,1),(24,1),(42,1),(48,1),(49,1)}
        35:{1,2,5,7}:{(22,1),(25,1),(43,1),(50,1)}
        36:{3,5,7}:{(23,1),(26,1),(44,1),(51,1)}
        37:{2,3,6,7}:{(24,1),(26,1),(49,1),(53,1),(138,1)}
        38:{1,3,6,7}:{(25,1),(26,1),(45,1),(50,1)}
        39:{3,4,6,7}:{(26,1),(27,1),(51,1),(53,1),(55,1),(92,1)}
        40:{1,4,5,7}:{(27,1),(55,1),(56,1)}
        41:{1,3,4,6}:{(28,1),(33,1),(57,1),(58,1),(61,1)}
        42:{1,2,5,6}:{(28,1),(34,1),(58,1),(59,1),(149,1),(160,1)}
        43:{1,2,5,6}:{(29,1),(31,1),(35,1),(60,1),(106,1)}
        44:{3,5,6}:{(30,1),(36,1),(61,1),(151,1),(163,1)}
        45:{1,3,6}:{(31,1),(32,1),(163,1)}
        46:{1,2,3,5,7}:{(32,1),(62,1),(64,1),(106,1),(108,1)}
        47:{1,3,4,7}:{(32,1),(63,1),(64,1),(69,1),(113,1)}
        48:{1,2,4,7}:{(33,1),(34,1),(58,1),(66,1),(68,1)}
        49:{2,3,5,7}:{(34,1),(36,1),(37,1),(59,1),(66,1),(68,1),(72,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(38,1),(60,1),(69,1)}
        51:{3,4,7}:{(36,1),(61,1),(68,1),(69,1)}
        52:{1,2,3,6,7}:{(37,1),(38,1),(62,1),(67,1),(71,1),(158,1),(160,1),(163,1),(195,1)}
        53:{2,4,6,7}:{(37,1),(39,1),(68,1),(72,1),(115,1)}
        54:{1,3,4,6,7}:{(38,1),(39,1),(63,1),(69,1),(71,1),(73,1),(113,1),(116,1),(163,1)}
        55:{3,5,7}:{(39,1),(40,1),(72,1),(74,1)}
        56:{1,4,5,6}:{(40,1),(74,1),(116,1)}
        57:{1,3,4,5}:{(41,1),(76,1),(81,1),(167,1),(170,1)}
        58:{1,2,4,6}:{(41,1),(42,1),(48,1),(76,1),(77,1),(79,1)}
        59:{2,3,5,6}:{(42,1),(44,1),(49,1),(77,1),(79,1),(95,1),(125,1),(138,1)}
        60:{1,3,5,6}:{(43,1),(44,1),(45,1),(50,1),(80,1),(83,1)}
        61:{3,4,6}:{(44,1),(51,1),(79,1),(80,1),(81,1)}
        62:{1,2,3,6}:{(45,1),(46,1),(82,1),(134,1)}
        63:{1,3,4,6}:{(45,1),(47,1),(80,1),(82,1),(83,1),(126,1)}
        64:{1,2,4,7}:{(46,1),(47,1),(82,1),(84,1)}
        65:{1,3,4,5,7}:{(47,1),(83,1),(85,1),(86,1),(91,1),(133,1),(139,1),(173,1),(178,1),(203,1)}
        66:{2,3,7}:{(48,1),(77,1)}
        67:{1,2,3,5,7}:{(49,1),(50,1),(52,1),(78,1),(87,1),(89,1),(94,1),(137,1),(139,1),(177,1),(202,1)}
        68:{2,4,7}:{(49,1),(51,1),(79,1)}
        69:{1,4,7}:{(50,1),(51,1),(80,1)}
        70:{3,4,5,7}:{(51,1),(55,1),(81,1),(90,1),(91,1),(92,1),(139,1)}
        71:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(82,1),(89,1),(93,1),(94,1),(140,1),(205,1)}
        72:{2,5,7}:{(53,1),(55,1),(95,1)}
        73:{1,3,5,7}:{(54,1),(55,1),(83,1),(91,1),(94,1),(96,1),(139,1)}
        74:{3,5,6}:{(55,1),(56,1),(92,1),(95,1)}
        75:{1,4,5,6,7}:{(56,1),(97,1),(142,1)}
        76:{1,2,4,5}:{(57,1),(58,1),(98,1),(102,1),(146,1),(149,1)}
        77:{2,3,6}:{(58,1),(66,1),(98,1)}
        78:{1,2,3,5,6}:{(59,1),(60,1),(62,1),(67,1),(99,1),(101,1),(106,1),(119,1),(149,1),(151,1),(156,1),(160,1),(163,1),(189,1)}
        79:{2,4,6}:{(59,1),(61,1),(68,1),(102,1)}
        80:{1,4,6}:{(60,1),(61,1),(69,1),(103,1)}
        81:{3,4,5}:{(61,1),(102,1),(103,1),(151,1)}
        82:{1,2,4,6}:{(62,1),(63,1),(64,1),(105,1),(106,1)}
        83:{1,3,5}:{(63,1),(103,1),(106,1),(151,1)}
        84:{2,3,4,7}:{(64,1),(105,1),(108,1),(113,1),(193,1)}
        85:{1,2,4,5,7}:{(64,1),(65,1),(106,1),(108,1),(109,1),(155,1),(157,1),(193,1)}
        86:{1,3,4,6}:{(65,1),(107,1),(109,1),(116,1),(163,1),(191,1),(194,1)}
        87:{1,2,3,7}:{(66,1),(99,1),(111,1),(207,1)}
        88:{2,3,4,7}:{(66,1),(68,1),(100,1),(111,1),(112,1),(113,1)}
        89:{1,2,4,7}:{(67,1),(68,1),(69,1),(101,1),(113,1),(193,1),(208,1)}
        90:{2,4,5,7}:{(68,1),(70,1),(72,1),(102,1),(112,1),(115,1)}
        91:{1,4,5,7}:{(69,1),(70,1),(73,1),(103,1),(116,1)}
        92:{3,4,6}:{(70,1),(74,1),(115,1),(116,1),(163,1)}
        93:{2,3,4,6,7}:{(71,1),(105,1),(113,1),(118,1),(158,1),(163,1),(165,1),(193,1),(197,1)}
        94:{1,2,5,7}:{(71,1),(72,1),(73,1),(106,1),(118,1),(119,1),(209,1)}
        95:{2,5,6}:{(72,1),(74,1),(115,1)}
        96:{1,3,5,6}:{(73,1),(74,1),(116,1),(119,1),(163,1)}
        97:{3,5,6,7}:{(74,1),(75,1),(117,1),(120,1)}
        98:{2,3,5}:{(76,1),(77,1),(123,1)}
        99:{1,2,3,6}:{(77,1),(87,1),(122,1),(124,1),(199,1)}
       100:{2,3,4,6}:{(77,1),(79,1),(88,1),(123,1),(124,1),(125,1),(126,1),(138,1)}
       101:{1,2,4,6}:{(78,1),(79,1),(80,1),(89,1),(126,1),(127,1),(176,1),(201,1)}
       102:{2,4,5}:{(79,1),(81,1),(125,1)}
       103:{1,4,5}:{(80,1),(81,1),(83,1)}
       104:{3,4,5,6}:{(81,1),(92,1),(128,1),(129,1),(130,1),(174,1)}
       105:{2,3,4,6}:{(82,1),(84,1),(126,1),(131,1),(134,1),(176,1)}
       106:{1,2,5}:{(82,1),(83,1),(131,1)}
       107:{1,3,5,6}:{(83,1),(86,1),(129,1),(132,1),(133,1),(174,1),(204,1)}
       108:{2,3,5,7}:{(84,1),(85,1),(131,1),(134,1),(139,1)}
       109:{1,2,4,6}:{(85,1),(86,1),(132,1),(134,1),(176,1)}
       110:{1,3,4,6,7}:{(86,1),(133,1),(135,1),(142,1),(182,1),(203,1),(205,1)}
       111:{1,2,4,7}:{(87,1),(88,1),(124,1),(136,1),(137,1)}
       112:{2,3,5,7}:{(88,1),(90,1),(125,1),(137,1),(138,1),(139,1)}
       113:{3,4,7}:{(89,1),(126,1),(139,1)}
       114:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(127,1),(137,1),(139,1),(140,1),(143,1),(178,1)}
       115:{2,4,6}:{(90,1),(92,1),(95,1),(138,1)}
       116:{1,4,6}:{(91,1),(92,1),(96,1)}
       117:{3,4,6,7}:{(92,1),(97,1),(130,1),(141,1),(142,1),(182,1)}
       118:{2,3,5,7}:{(93,1),(94,1),(131,1),(139,1),(143,1),(144,1),(206,1)}
       119:{1,2,5,6}:{(94,1),(95,1),(96,1),(140,1),(144,1),(204,1)}
       120:{2,5,6,7}:{(95,1),(97,1),(141,1)}
       121:{1,3,5,6,7}:{(96,1),(97,1),(133,1),(142,1),(145,1),(182,1)}
       122:{1,2,3,5}:{(98,1),(99,1),(146,1),(149,1),(185,1)}
       123:{2,3,4}:{(98,1),(146,1)}
       124:{1,2,4,6}:{(99,1),(100,1),(111,1),(146,1),(148,1),(149,1),(160,1)}
       125:{2,3,5}:{(100,1),(102,1),(149,1),(151,1)}
       126:{3,4,6}:{(101,1),(113,1),(151,1),(163,1)}
       127:{1,2,4,5}:{(101,1),(102,1),(103,1),(106,1),(149,1),(151,1),(155,1),(188,1)}
       128:{2,4,5,6}:{(102,1),(104,1),(115,1),(150,1),(153,1)}
       129:{1,4,5,6}:{(103,1),(104,1),(107,1),(116,1),(154,1)}
       130:{3,4,5,7}:{(104,1),(117,1),(153,1),(154,1),(192,1)}
       131:{2,3,5}:{(105,1),(106,1),(151,1),(155,1)}
       132:{1,2,5,6}:{(106,1),(107,1),(109,1),(156,1),(157,1)}
       133:{1,3,5,7}:{(107,1),(110,1),(154,1),(157,1),(192,1),(209,1)}
       134:{2,3,6}:{(108,1),(109,1),(163,1)}
       135:{1,2,4,6,7}:{(109,1),(110,1),(157,1),(158,1),(193,1)}
       136:{1,3,4,7}:{(111,1),(113,1),(148,1),(159,1),(207,1),(208,1)}
       137:{1,2,5,7}:{(111,1),(112,1),(149,1),(159,1),(160,1)}
       138:{2,3,6}:{(112,1),(115,1),(160,1),(163,1)}
       139:{3,5,7}:{(113,1),(114,1),(151,1),(163,1)}
       140:{1,2,4,6}:{(114,1),(115,1),(116,1),(119,1),(160,1),(163,1),(165,1),(194,1)}
       141:{2,4,6,7}:{(115,1),(117,1),(120,1),(153,1),(161,1)}
       142:{1,4,6,7}:{(116,1),(117,1),(121,1),(154,1)}
       143:{2,4,5,7}:{(118,1),(155,1),(162,1),(165,1),(193,1)}
       144:{2,3,5,6}:{(118,1),(119,1),(163,1),(165,1),(196,1)}
       145:{1,2,5,6,7}:{(119,1),(120,1),(121,1),(157,1),(164,1),(166,1),(209,1)}
       146:{1,2,4}:{(122,1),(123,1),(167,1)}
       147:{2,3,4,5}:{(123,1),(125,1),(168,1),(169,1),(173,1)}
       148:{1,3,4,6}:{(124,1),(126,1),(136,1),(167,1),(170,1),(179,1),(199,1),(201,1)}
       149:{1,2,5}:{(124,1),(125,1),(170,1)}
       150:{2,3,5,6}:{(125,1),(128,1),(138,1),(169,1),(171,1),(172,1),(174,1)}
       151:{3,5}:{(126,1),(127,1)}
       152:{1,2,4,5,6}:{(127,1),(128,1),(129,1),(132,1),(140,1),(171,1),(174,1),(175,1),(176,1),(183,1),(201,1),(204,1)}
       153:{2,4,5,7}:{(128,1),(130,1),(141,1),(172,1)}
       154:{1,4,5,7}:{(129,1),(130,1),(133,1),(142,1)}
       155:{2,4,5}:{(131,1),(173,1),(176,1)}
       156:{2,3,5,6}:{(131,1),(132,1),(134,1),(174,1),(176,1),(177,1)}
       157:{1,2,5,7}:{(132,1),(133,1),(135,1),(177,1)}
       158:{2,3,6,7}:{(134,1),(135,1),(177,1),(182,1)}
       159:{1,3,5,7}:{(136,1),(137,1),(139,1),(170,1),(178,1),(179,1)}
       160:{1,2,6}:{(137,1),(138,1),(179,1)}
       161:{2,3,6,7}:{(138,1),(141,1),(172,1),(180,1),(182,1)}
       162:{3,4,5,7}:{(139,1),(143,1),(173,1),(178,1),(181,1),(203,1),(206,1)}
       163:{3,6}:{(139,1),(140,1)}
       164:{1,2,4,6,7}:{(140,1),(141,1),(142,1),(145,1),(175,1),(180,1),(182,1),(184,1),(205,1)}
       165:{2,4,6}:{(143,1),(144,1),(181,1)}
       166:{2,3,5,6,7}:{(144,1),(145,1),(177,1),(182,1),(184,1),(206,1)}
       167:{1,3,4}:{(146,1),(185,1)}
       168:{1,2,4,5}:{(146,1),(147,1),(149,1),(185,1),(186,1),(188,1)}
       169:{2,3,4,6}:{(147,1),(150,1),(186,1),(187,1),(191,1)}
       170:{1,3,5}:{(148,1),(149,1),(151,1),(188,1)}
       171:{1,2,5,6}:{(149,1),(150,1),(160,1),(186,1),(189,1),(190,1)}
       172:{2,3,5,7}:{(150,1),(153,1),(161,1),(187,1),(190,1),(192,1)}
       173:{3,4,5}:{(151,1),(155,1),(188,1),(191,1)}
       174:{3,5,6}:{(151,1),(152,1),(163,1),(191,1),(192,1)}
       175:{1,2,4,5,7}:{(152,1),(153,1),(154,1),(157,1),(164,1),(190,1),(192,1),(193,1),(198,1),(208,1),(209,1)}
       176:{2,4,6}:{(155,1),(156,1),(191,1),(193,1)}
       177:{2,3,5,7}:{(156,1),(157,1),(158,1),(192,1),(193,1)}
       178:{1,4,5,7}:{(159,1),(162,1),(188,1),(194,1),(208,1),(209,1)}
       179:{1,3,6}:{(159,1),(160,1),(163,1),(194,1)}
       180:{1,2,6,7}:{(160,1),(161,1),(190,1),(195,1)}
       181:{3,4,6}:{(162,1),(163,1),(165,1),(194,1),(196,1)}
       182:{3,6,7}:{(163,1),(164,1),(192,1)}
       183:{2,4,5,6}:{(165,1),(196,1),(198,1)}
       184:{2,4,6,7}:{(165,1),(166,1),(193,1),(197,1),(198,1)}
       185:{1,3,5}:{(167,1),(168,1),(199,1)}
       186:{1,2,4,6}:{(168,1),(169,1),(171,1),(199,1),(200,1),(201,1)}
       187:{2,3,4,7}:{(169,1),(172,1),(200,1),(203,1)}
       188:{1,4,5}:{(170,1),(173,1),(201,1)}
       189:{1,3,5,6}:{(170,1),(171,1),(174,1),(179,1),(199,1),(201,1),(202,1),(204,1)}
       190:{1,2,5,7}:{(171,1),(172,1),(180,1),(200,1),(202,1)}
       191:{3,4,6}:{(173,1),(174,1),(176,1),(201,1),(203,1)}
       192:{3,5,7}:{(174,1),(175,1),(182,1),(203,1)}
       193:{2,4,7}:{(176,1),(177,1),(203,1)}
       194:{1,4,6}:{(178,1),(179,1),(181,1),(204,1)}
       195:{1,3,6,7}:{(179,1),(180,1),(182,1),(202,1),(205,1)}
       196:{3,5,6}:{(181,1),(183,1),(204,1),(206,1)}
       197:{3,4,6,7}:{(181,1),(182,1),(184,1),(203,1),(205,1),(206,1)}
       198:{2,4,5,7}:{(183,1),(184,1),(206,1)}
       199:{1,3,6}:{(185,1),(186,1),(207,1)}
       200:{1,2,4,7}:{(186,1),(187,1),(190,1),(207,1),(208,1)}
       201:{1,4,6}:{(188,1),(189,1),(191,1),(208,1)}
       202:{1,3,5,7}:{(189,1),(190,1),(192,1),(195,1),(207,1),(208,1),(209,1)}
       203:{3,4,7}:{(191,1),(192,1),(193,1),(208,1)}
       204:{1,5,6}:{(194,1),(196,1),(209,1)}
       205:{1,4,6,7}:{(194,1),(195,1),(197,1),(208,1),(209,1)}
       206:{3,5,7}:{(196,1),(197,1),(198,1),(209,1)}
       207:{1,3,7}:{(199,1),(200,1)}
       208:{1,4,7}:{(201,1),(202,1),(203,1)}
       209:{1,5,7}:{(204,1),(205,1),(206,1)}

1406 :   0:{1,2,4,5,6}:{(2,1),(3,1),(17,1),(18,1),(19,1),(42,1),(51,1),(77,1),(78,1),(81,1),(99,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(62,1),(63,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(24,1),(29,1),(30,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(6,1),(7,1),(69,1),(91,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(12,1),(43,1),(96,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(44,1),(45,1),(46,1),(81,1)}
         6:{3,5,7}:{(2,1),(3,1),(12,1),(13,1)}
         7:{3,4,6}:{(3,1),(13,1),(16,1),(17,1),(18,1),(52,1),(83,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(40,1),(52,1),(56,1),(73,1),(77,1),(84,1),(96,1),(99,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(21,1),(52,1),(53,1),(76,1),(78,1),(94,1),(96,1),(103,1)}
        10:{2,3,4,6}:{(18,1),(20,1),(21,1),(22,1),(52,1),(53,1),(83,1),(98,1)}
        11:{4,6,7}:{(4,1),(24,1),(101,1)}
        12:{3,6,7}:{(5,1),(6,1),(91,1)}
        13:{3,4,7}:{(6,1),(7,1),(29,1),(30,1),(68,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(26,1),(29,1),(31,1),(62,1),(68,1),(90,1)}
        15:{2,3,5,7}:{(6,1),(9,1),(27,1),(30,1),(31,1),(63,1),(68,1),(90,1)}
        16:{3,4,5}:{(7,1),(32,1),(33,1),(69,1),(102,1)}
        17:{1,4,6}:{(7,1),(8,1),(29,1),(32,1),(72,1),(101,1)}
        18:{2,4,6}:{(7,1),(9,1),(30,1),(33,1),(88,1),(101,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(37,1),(59,1),(70,1),(86,1)}
        20:{2,3,4,7}:{(10,1),(30,1),(35,1),(36,1),(68,1),(92,1)}
        21:{2,3,5}:{(10,1),(33,1),(37,1),(69,1),(102,1)}
        22:{1,2,4,6}:{(10,1),(36,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        23:{1,3,4,6}:{(17,1),(39,1),(40,1),(41,1),(52,1),(73,1),(83,1),(98,1)}
        24:{4,5,7}:{(11,1),(42,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(13,1),(43,1),(44,1),(45,1),(47,1),(80,1),(97,1),(98,1)}
        26:{1,3,6,7}:{(12,1),(14,1),(44,1),(46,1),(73,1),(80,1),(84,1)}
        27:{2,3,6,7}:{(12,1),(15,1),(45,1),(46,1),(53,1),(80,1),(94,1)}
        28:{3,4,5,7}:{(13,1),(16,1),(43,1),(47,1),(48,1),(49,1),(82,1),(97,1),(104,1)}
        29:{1,4,7}:{(13,1),(14,1),(17,1),(97,1)}
        30:{2,4,7}:{(13,1),(15,1),(18,1),(97,1)}
        31:{1,2,5,7}:{(14,1),(15,1),(19,1),(46,1),(50,1)}
        32:{1,4,5}:{(16,1),(17,1),(40,1),(99,1),(104,1)}
        33:{2,4,5}:{(16,1),(18,1),(21,1),(103,1),(104,1)}
        34:{1,2,4,6}:{(17,1),(18,1),(19,1),(50,1),(51,1),(52,1)}
        35:{2,3,5,7}:{(20,1),(21,1),(49,1),(53,1),(54,1),(82,1)}
        36:{1,2,4,7}:{(20,1),(22,1),(54,1),(55,1),(85,1)}
        37:{1,2,5}:{(21,1),(22,1),(56,1),(99,1)}
        38:{1,3,6}:{(22,1),(52,1),(55,1),(56,1)}
        39:{1,3,4,7}:{(23,1),(29,1),(57,1),(58,1),(68,1),(92,1)}
        40:{1,3,5}:{(23,1),(32,1),(59,1),(69,1),(102,1)}
        41:{1,2,4,6}:{(23,1),(58,1),(59,1),(60,1),(86,1),(88,1),(100,1)}
        42:{4,5,6}:{(24,1),(61,1),(101,1)}
        43:{3,5,7}:{(24,1),(25,1),(61,1),(62,1),(63,1),(102,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(62,1),(65,1),(93,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(63,1),(66,1),(100,1)}
        46:{1,2,6,7}:{(26,1),(27,1),(31,1),(70,1),(86,1)}
        47:{3,4,6}:{(28,1),(61,1),(65,1),(66,1),(91,1),(101,1)}
        48:{1,4,5,7}:{(28,1),(29,1),(32,1),(57,1),(62,1),(65,1)}
        49:{2,4,5,7}:{(28,1),(30,1),(33,1),(35,1),(63,1),(66,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(68,1)}
        51:{1,2,4,5}:{(32,1),(33,1),(34,1),(37,1),(59,1),(69,1),(72,1),(88,1)}
        52:{3,6}:{(34,1),(68,1),(69,1)}
        53:{2,3,6}:{(35,1),(66,1),(70,1),(91,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(37,1),(70,1),(71,1)}
        55:{1,3,7}:{(36,1),(38,1),(68,1)}
        56:{1,3,5}:{(37,1),(38,1),(69,1),(72,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(48,1),(73,1),(74,1),(82,1)}
        58:{1,2,4,7}:{(39,1),(41,1),(74,1),(75,1),(95,1)}
        59:{1,2,5}:{(40,1),(41,1),(76,1),(103,1)}
        60:{2,3,6}:{(41,1),(52,1),(75,1),(76,1)}
        61:{3,5,6}:{(42,1),(43,1),(47,1),(77,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(77,1),(99,1)}
        63:{2,5,7}:{(43,1),(45,1),(78,1),(103,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(50,1),(79,1),(80,1),(81,1),(97,1)}
        65:{1,4,6}:{(47,1),(48,1),(73,1),(77,1)}
        66:{2,4,6}:{(47,1),(49,1),(53,1),(78,1)}
        67:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(51,1),(54,1),(74,1),(79,1),(81,1),(82,1),(85,1),(95,1),(97,1),(99,1),(103,1),(104,1)}
        68:{3,7}:{(50,1),(52,1)}
        69:{3,5}:{(51,1),(52,1),(83,1)}
        70:{1,2,6}:{(53,1),(54,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(56,1),(82,1),(84,1),(85,1),(99,1)}
        72:{1,4}:{(56,1),(83,1)}
        73:{1,3,6}:{(57,1),(65,1),(86,1),(91,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(86,1),(87,1)}
        75:{2,3,7}:{(58,1),(60,1),(68,1)}
        76:{2,3,5}:{(59,1),(60,1),(69,1),(88,1)}
        77:{1,5,6}:{(61,1),(62,1),(65,1)}
        78:{2,5,6}:{(61,1),(63,1),(66,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(89,1),(90,1)}
        80:{3,6,7}:{(64,1),(68,1),(90,1),(91,1)}
        81:{1,2,4,6}:{(65,1),(66,1),(67,1),(70,1),(86,1),(89,1),(91,1),(93,1),(100,1),(101,1)}
        82:{3,5,7}:{(67,1),(68,1),(69,1),(91,1),(92,1),(102,1)}
        83:{3,4}:{(69,1),(72,1),(88,1)}
        84:{1,3,6}:{(70,1),(71,1),(91,1),(93,1)}
        85:{1,4,7}:{(71,1),(72,1),(92,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(94,1),(95,1),(103,1)}
        88:{2,4}:{(76,1),(83,1)}
        89:{1,2,5,6}:{(77,1),(78,1),(79,1),(81,1),(96,1),(99,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{3,6}:{(81,1),(82,1)}
        92:{3,4,7}:{(82,1),(83,1),(85,1),(95,1),(97,1),(98,1)}
        93:{1,4,6}:{(84,1),(85,1),(98,1),(99,1)}
        94:{2,3,6}:{(86,1),(87,1),(91,1),(100,1)}
        95:{2,4,7}:{(87,1),(88,1),(92,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(91,1),(101,1),(102,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{3,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(102,1)}
        99:{1,5}:{(93,1),(102,1)}
       100:{2,4,6}:{(94,1),(95,1),(98,1),(103,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{3,5}:{(98,1),(99,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1407 :   0:{2,3,4,5}:{(2,1),(3,1),(32,1),(86,1),(139,1)}
         1:{1,3,4,5}:{(4,1),(5,1),(24,1),(74,1),(149,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(9,1),(101,1)}
         3:{1,2,4,5}:{(0,1),(8,1),(10,1),(36,1),(96,1),(107,1)}
         4:{1,3,4,6}:{(1,1),(12,1),(13,1),(14,1),(114,1)}
         5:{1,2,4,5}:{(1,1),(13,1),(15,1),(36,1),(96,1),(120,1)}
         6:{3,4,5,6}:{(17,1),(18,1),(19,1),(66,1),(149,1),(201,1),(226,1)}
         7:{2,3,5,6}:{(2,1),(18,1),(20,1),(21,1),(66,1),(86,1),(155,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(20,1),(22,1),(23,1),(71,1)}
         9:{2,3,4,7}:{(2,1),(21,1),(23,1),(140,1)}
        10:{1,3,5}:{(3,1),(22,1),(24,1)}
        11:{3,4,5,6}:{(25,1),(26,1),(27,1),(78,1),(139,1),(195,1),(228,1)}
        12:{1,3,5,6}:{(4,1),(25,1),(28,1),(29,1),(74,1),(78,1),(145,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(28,1),(30,1),(31,1),(83,1)}
        14:{1,3,4,7}:{(4,1),(29,1),(31,1),(150,1)}
        15:{2,3,5}:{(5,1),(30,1),(32,1)}
        16:{1,2,3,5}:{(10,1),(15,1),(35,1),(36,1),(96,1)}
        17:{1,4,5,6}:{(6,1),(37,1),(39,1),(175,1),(216,1)}
        18:{2,4,5,6}:{(6,1),(7,1),(40,1),(120,1),(181,1)}
        19:{3,4,5,7}:{(6,1),(39,1),(40,1),(41,1),(102,1),(215,1)}
        20:{1,2,5,6}:{(7,1),(8,1),(42,1),(43,1),(96,1),(166,1)}
        21:{2,3,5,7}:{(7,1),(9,1),(40,1),(43,1),(44,1),(102,1)}
        22:{1,3,6}:{(8,1),(10,1),(46,1)}
        23:{1,2,4,7}:{(8,1),(9,1),(43,1),(46,1),(108,1)}
        24:{1,3,4}:{(10,1),(36,1)}
        25:{1,4,5,6}:{(11,1),(12,1),(49,1),(107,1),(173,1)}
        26:{2,4,5,6}:{(11,1),(47,1),(50,1),(167,1),(212,1)}
        27:{3,4,5,7}:{(11,1),(49,1),(50,1),(51,1),(115,1),(219,1)}
        28:{1,2,5,6}:{(12,1),(13,1),(52,1),(53,1),(96,1),(166,1)}
        29:{1,3,5,7}:{(12,1),(14,1),(49,1),(53,1),(54,1),(115,1)}
        30:{2,3,6}:{(13,1),(15,1),(56,1)}
        31:{1,2,4,7}:{(13,1),(14,1),(53,1),(56,1),(121,1)}
        32:{2,3,4}:{(15,1),(36,1)}
        33:{2,3,4,5}:{(57,1),(58,1),(130,1),(149,1),(187,1)}
        34:{1,3,4,5}:{(59,1),(60,1),(127,1),(139,1),(185,1)}
        35:{1,2,3,6}:{(16,1),(22,1),(30,1),(62,1),(63,1)}
        36:{1,2,4}:{(16,1),(24,1),(32,1)}
        37:{1,3,5,6}:{(17,1),(59,1),(64,1),(65,1),(66,1),(185,1),(221,1)}
        38:{1,2,4,5,6}:{(17,1),(18,1),(20,1),(64,1),(66,1),(67,1),(71,1),(132,1),(136,1),(191,1),(198,1),(225,1),(226,1)}
        39:{1,4,5,7}:{(17,1),(19,1),(65,1),(68,1)}
        40:{2,4,5,7}:{(18,1),(19,1),(21,1),(69,1)}
        41:{3,4,6,7}:{(19,1),(68,1),(69,1),(70,1),(141,1),(197,1),(201,1)}
        42:{1,3,5,6}:{(20,1),(22,1),(66,1),(71,1),(72,1),(74,1),(145,1),(198,1)}
        43:{1,2,5,7}:{(20,1),(21,1),(23,1),(72,1),(73,1)}
        44:{2,3,6,7}:{(21,1),(69,1),(73,1),(141,1),(155,1)}
        45:{1,3,4,6}:{(22,1),(24,1),(62,1),(71,1),(74,1),(75,1),(131,1),(145,1)}
        46:{1,3,7}:{(22,1),(23,1)}
        47:{2,3,5,6}:{(26,1),(57,1),(76,1),(77,1),(78,1),(187,1),(222,1)}
        48:{1,2,4,5,6}:{(25,1),(26,1),(28,1),(76,1),(78,1),(79,1),(83,1),(132,1),(146,1),(191,1),(204,1),(227,1),(228,1)}
        49:{1,4,5,7}:{(25,1),(27,1),(29,1),(80,1)}
        50:{2,4,5,7}:{(26,1),(27,1),(77,1),(81,1)}
        51:{3,4,6,7}:{(27,1),(80,1),(81,1),(82,1),(151,1),(195,1),(203,1)}
        52:{2,3,5,6}:{(28,1),(30,1),(78,1),(83,1),(84,1),(86,1),(155,1),(204,1)}
        53:{1,2,5,7}:{(28,1),(29,1),(31,1),(84,1),(85,1)}
        54:{1,3,6,7}:{(29,1),(80,1),(85,1),(145,1),(151,1)}
        55:{2,3,4,6}:{(30,1),(32,1),(62,1),(83,1),(86,1),(87,1),(131,1),(155,1)}
        56:{2,3,7}:{(30,1),(31,1)}
        57:{2,3,4,6}:{(33,1),(47,1),(88,1),(89,1),(114,1)}
        58:{1,2,4,5}:{(33,1),(88,1),(90,1),(157,1),(175,1),(205,1)}
        59:{1,3,4,6}:{(34,1),(37,1),(91,1),(92,1),(101,1)}
        60:{1,2,4,5}:{(34,1),(91,1),(93,1),(157,1),(167,1),(205,1)}
        61:{1,2,3,5,6}:{(35,1),(42,1),(52,1),(94,1),(95,1),(96,1),(98,1),(111,1),(156,1),(162,1),(166,1),(205,1),(209,1),(211,1),(229,1)}
        62:{1,2,4,6}:{(35,1),(36,1),(45,1),(55,1),(96,1),(97,1),(166,1)}
        63:{1,2,3,7}:{(35,1),(46,1),(56,1),(97,1)}
        64:{1,2,5,6}:{(37,1),(91,1),(98,1),(99,1),(205,1),(229,1)}
        65:{1,3,5,7}:{(37,1),(39,1),(92,1),(99,1),(100,1),(102,1)}
        66:{3,5,6}:{(38,1),(101,1),(102,1),(162,1),(209,1)}
        67:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(99,1),(102,1),(103,1),(108,1),(168,1),(174,1),(213,1),(215,1)}
        68:{1,4,6,7}:{(39,1),(41,1),(100,1),(104,1),(216,1)}
        69:{2,4,6,7}:{(40,1),(41,1),(44,1),(105,1),(181,1)}
        70:{3,5,6,7}:{(41,1),(104,1),(105,1),(106,1),(218,1)}
        71:{1,4,6}:{(42,1),(101,1),(107,1),(108,1)}
        72:{1,3,5,7}:{(42,1),(43,1),(46,1),(102,1),(108,1),(109,1),(174,1)}
        73:{1,2,6,7}:{(43,1),(44,1),(109,1),(166,1)}
        74:{1,3,5}:{(45,1),(96,1),(107,1),(162,1)}
        75:{1,3,4,7}:{(45,1),(46,1),(97,1),(108,1),(110,1),(163,1)}
        76:{1,2,5,6}:{(47,1),(88,1),(111,1),(112,1),(205,1),(229,1)}
        77:{2,3,5,7}:{(47,1),(50,1),(89,1),(112,1),(113,1),(115,1)}
        78:{3,5,6}:{(48,1),(114,1),(115,1),(162,1),(209,1)}
        79:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(53,1),(112,1),(115,1),(116,1),(121,1),(176,1),(182,1),(217,1),(219,1)}
        80:{1,4,6,7}:{(49,1),(51,1),(54,1),(117,1),(173,1)}
        81:{2,4,6,7}:{(50,1),(51,1),(113,1),(118,1),(212,1)}
        82:{3,5,6,7}:{(51,1),(117,1),(118,1),(119,1),(214,1)}
        83:{2,4,6}:{(52,1),(114,1),(120,1),(121,1)}
        84:{2,3,5,7}:{(52,1),(53,1),(56,1),(115,1),(121,1),(122,1),(182,1)}
        85:{1,2,6,7}:{(53,1),(54,1),(122,1),(166,1)}
        86:{2,3,5}:{(55,1),(96,1),(120,1),(162,1)}
        87:{2,3,4,7}:{(55,1),(56,1),(97,1),(121,1),(123,1),(163,1)}
        88:{1,2,4,6}:{(57,1),(58,1),(76,1),(125,1),(126,1),(146,1)}
        89:{2,3,4,7}:{(57,1),(77,1),(126,1),(150,1)}
        90:{1,3,5}:{(58,1),(125,1),(127,1)}
        91:{1,2,4,6}:{(59,1),(60,1),(64,1),(128,1),(129,1),(136,1)}
        92:{1,3,4,7}:{(59,1),(65,1),(129,1),(140,1)}
        93:{2,3,5}:{(60,1),(128,1),(130,1)}
        94:{1,2,4,6}:{(61,1),(71,1),(83,1),(131,1),(132,1),(133,1),(136,1),(146,1)}
        95:{1,2,3,5,7}:{(61,1),(63,1),(72,1),(84,1),(133,1),(134,1),(135,1),(137,1),(147,1),(184,1),(189,1),(192,1),(220,1)}
        96:{1,2,5}:{(62,1),(74,1),(86,1)}
        97:{1,2,4,7}:{(62,1),(63,1),(75,1),(87,1),(135,1)}
        98:{2,3,5,6}:{(64,1),(66,1),(128,1),(136,1),(137,1),(187,1),(222,1),(225,1)}
        99:{1,2,5,7}:{(64,1),(65,1),(129,1),(137,1),(138,1)}
       100:{1,3,6,7}:{(65,1),(68,1),(138,1),(141,1),(221,1)}
       101:{3,4,6}:{(66,1),(71,1),(136,1),(139,1),(140,1)}
       102:{3,5,7}:{(66,1),(67,1),(140,1),(141,1)}
       103:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(73,1),(138,1),(141,1),(142,1),(144,1),(191,1),(194,1),(197,1)}
       104:{1,5,6,7}:{(68,1),(70,1),(227,1)}
       105:{2,5,6,7}:{(69,1),(70,1),(204,1)}
       106:{4,5,6,7}:{(70,1),(197,1),(228,1)}
       107:{1,4,5}:{(71,1),(74,1),(139,1)}
       108:{1,4,7}:{(71,1),(72,1),(140,1)}
       109:{1,3,6,7}:{(72,1),(73,1),(141,1),(144,1),(145,1)}
       110:{1,3,5,7}:{(74,1),(75,1),(135,1),(143,1),(145,1),(189,1)}
       111:{1,3,5,6}:{(76,1),(78,1),(125,1),(146,1),(147,1),(185,1),(221,1),(227,1)}
       112:{1,2,5,7}:{(76,1),(77,1),(126,1),(147,1),(148,1)}
       113:{2,3,6,7}:{(77,1),(81,1),(148,1),(151,1),(222,1)}
       114:{3,4,6}:{(78,1),(83,1),(146,1),(149,1),(150,1)}
       115:{3,5,7}:{(78,1),(79,1),(150,1),(151,1)}
       116:{1,2,4,6,7}:{(79,1),(80,1),(81,1),(85,1),(148,1),(151,1),(152,1),(154,1),(191,1),(200,1),(203,1)}
       117:{1,5,6,7}:{(80,1),(82,1),(198,1)}
       118:{2,5,6,7}:{(81,1),(82,1),(225,1)}
       119:{4,5,6,7}:{(82,1),(203,1),(226,1)}
       120:{2,4,5}:{(83,1),(86,1),(149,1)}
       121:{2,4,7}:{(83,1),(84,1),(150,1)}
       122:{2,3,6,7}:{(84,1),(85,1),(151,1),(154,1),(155,1)}
       123:{2,3,5,7}:{(86,1),(87,1),(135,1),(153,1),(155,1),(189,1)}
       124:{1,2,3,5}:{(90,1),(93,1),(156,1),(157,1),(205,1)}
       125:{1,3,6}:{(88,1),(90,1),(159,1)}
       126:{1,2,4,7}:{(88,1),(89,1),(112,1),(159,1),(176,1)}
       127:{1,3,4}:{(90,1),(157,1)}
       128:{2,3,6}:{(91,1),(93,1),(161,1)}
       129:{1,2,4,7}:{(91,1),(92,1),(99,1),(161,1),(168,1)}
       130:{2,3,4}:{(93,1),(157,1)}
       131:{3,4,6}:{(94,1),(162,1),(163,1),(209,1)}
       132:{1,2,4,5}:{(94,1),(96,1),(107,1),(120,1),(162,1),(167,1),(175,1),(205,1)}
       133:{1,2,4,7}:{(94,1),(95,1),(108,1),(121,1),(163,1),(168,1),(176,1)}
       134:{1,2,3,6,7}:{(95,1),(109,1),(122,1),(165,1),(166,1),(169,1),(177,1),(209,1),(229,1)}
       135:{1,2,5,7}:{(96,1),(97,1),(110,1),(123,1),(166,1)}
       136:{2,4,6}:{(98,1),(101,1),(167,1),(168,1)}
       137:{2,3,5,7}:{(98,1),(99,1),(102,1),(161,1),(168,1),(169,1),(213,1)}
       138:{1,2,6,7}:{(99,1),(100,1),(169,1),(229,1)}
       139:{3,4,5}:{(101,1),(107,1),(162,1),(167,1)}
       140:{3,4,7}:{(101,1),(102,1),(108,1),(168,1)}
       141:{3,6,7}:{(102,1),(103,1),(209,1)}
       142:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(172,1),(174,1),(211,1),(213,1)}
       143:{1,4,5,7}:{(107,1),(108,1),(110,1),(170,1),(173,1),(174,1)}
       144:{1,4,6,7}:{(108,1),(109,1),(171,1),(173,1),(174,1)}
       145:{1,3,6}:{(110,1),(166,1),(173,1),(209,1)}
       146:{1,4,6}:{(111,1),(114,1),(175,1),(176,1)}
       147:{1,3,5,7}:{(111,1),(112,1),(115,1),(159,1),(176,1),(177,1),(217,1)}
       148:{1,2,6,7}:{(112,1),(113,1),(177,1),(229,1)}
       149:{3,4,5}:{(114,1),(120,1),(162,1),(175,1)}
       150:{3,4,7}:{(114,1),(115,1),(121,1),(176,1)}
       151:{3,6,7}:{(115,1),(116,1),(209,1)}
       152:{1,2,5,6,7}:{(116,1),(117,1),(118,1),(180,1),(182,1),(211,1),(217,1)}
       153:{2,4,5,7}:{(120,1),(121,1),(123,1),(178,1),(181,1),(182,1)}
       154:{2,4,6,7}:{(121,1),(122,1),(179,1),(181,1),(182,1)}
       155:{2,3,6}:{(123,1),(166,1),(181,1),(209,1)}
       156:{1,2,3,6}:{(124,1),(125,1),(128,1),(183,1),(184,1)}
       157:{1,2,4}:{(124,1),(127,1),(130,1)}
       158:{1,3,4,6}:{(125,1),(127,1),(131,1),(146,1),(183,1),(185,1),(186,1),(221,1)}
       159:{1,3,7}:{(125,1),(126,1)}
       160:{2,3,4,6}:{(128,1),(130,1),(131,1),(136,1),(183,1),(187,1),(188,1),(222,1)}
       161:{2,3,7}:{(128,1),(129,1)}
       162:{3,5}:{(131,1),(132,1)}
       163:{3,4,7}:{(131,1),(133,1),(189,1)}
       164:{1,2,4,5,7}:{(132,1),(133,1),(135,1),(143,1),(153,1),(189,1),(191,1),(192,1),(193,1),(199,1),(220,1),(224,1)}
       165:{1,2,4,6,7}:{(133,1),(134,1),(144,1),(154,1),(190,1),(191,1),(192,1),(194,1),(200,1)}
       166:{1,2,6}:{(135,1),(145,1),(155,1)}
       167:{2,4,5}:{(136,1),(139,1),(187,1)}
       168:{2,4,7}:{(136,1),(137,1),(140,1)}
       169:{2,3,6,7}:{(137,1),(138,1),(141,1),(194,1),(222,1)}
       170:{3,4,5,7}:{(139,1),(140,1),(143,1),(189,1),(193,1),(195,1),(196,1),(224,1)}
       171:{3,4,6,7}:{(140,1),(141,1),(144,1),(194,1),(195,1),(196,1),(197,1)}
       172:{3,5,6,7}:{(141,1),(142,1),(196,1),(197,1),(223,1)}
       173:{1,4,6}:{(143,1),(145,1),(195,1),(198,1)}
       174:{1,5,7}:{(144,1),(196,1),(198,1)}
       175:{1,4,5}:{(146,1),(149,1),(185,1)}
       176:{1,4,7}:{(146,1),(147,1),(150,1)}
       177:{1,3,6,7}:{(147,1),(148,1),(151,1),(200,1),(221,1)}
       178:{3,4,5,7}:{(149,1),(150,1),(153,1),(189,1),(199,1),(201,1),(202,1),(224,1)}
       179:{3,4,6,7}:{(150,1),(151,1),(154,1),(200,1),(201,1),(202,1),(203,1)}
       180:{3,5,6,7}:{(151,1),(152,1),(202,1),(203,1),(223,1)}
       181:{2,4,6}:{(153,1),(155,1),(201,1),(204,1)}
       182:{2,5,7}:{(154,1),(202,1),(204,1)}
       183:{1,2,4,6}:{(156,1),(157,1),(158,1),(160,1),(205,1),(206,1),(229,1)}
       184:{1,2,3,7}:{(156,1),(159,1),(161,1),(206,1)}
       185:{1,3,5}:{(158,1),(162,1),(175,1),(205,1)}
       186:{1,3,4,7}:{(158,1),(159,1),(163,1),(176,1),(206,1),(207,1)}
       187:{2,3,5}:{(160,1),(162,1),(167,1),(205,1)}
       188:{2,3,4,7}:{(160,1),(161,1),(163,1),(168,1),(206,1),(208,1)}
       189:{3,5,7}:{(162,1),(163,1),(164,1),(209,1)}
       190:{3,4,6,7}:{(163,1),(165,1),(209,1),(210,1),(230,1)}
       191:{1,2,4,6}:{(164,1),(166,1),(173,1),(181,1),(209,1),(211,1),(212,1),(216,1),(229,1),(230,1)}
       192:{1,2,5,7}:{(165,1),(174,1),(182,1),(210,1),(211,1),(213,1),(217,1)}
       193:{2,4,5,7}:{(167,1),(168,1),(170,1),(208,1),(212,1),(213,1)}
       194:{2,4,6,7}:{(168,1),(169,1),(171,1),(212,1),(213,1)}
       195:{3,4,6}:{(170,1),(173,1),(209,1),(212,1),(214,1),(230,1)}
       196:{3,5,7}:{(171,1),(174,1),(213,1),(214,1),(215,1)}
       197:{4,6,7}:{(172,1),(215,1),(230,1)}
       198:{1,5,6}:{(173,1),(174,1),(214,1)}
       199:{1,4,5,7}:{(175,1),(176,1),(178,1),(207,1),(216,1),(217,1)}
       200:{1,4,6,7}:{(176,1),(177,1),(179,1),(216,1),(217,1)}
       201:{3,4,6}:{(178,1),(181,1),(209,1),(216,1),(218,1),(230,1)}
       202:{3,5,7}:{(179,1),(182,1),(217,1),(218,1),(219,1)}
       203:{4,6,7}:{(180,1),(219,1),(230,1)}
       204:{2,5,6}:{(181,1),(182,1),(218,1)}
       205:{1,2,5}:{(183,1),(185,1),(187,1)}
       206:{1,2,4,7}:{(183,1),(184,1),(186,1),(188,1),(220,1)}
       207:{1,3,5,7}:{(185,1),(186,1),(189,1),(199,1),(220,1),(221,1)}
       208:{2,3,5,7}:{(187,1),(188,1),(189,1),(193,1),(220,1),(222,1)}
       209:{3,6}:{(189,1),(191,1)}
       210:{3,5,7}:{(190,1),(192,1),(223,1),(224,1)}
       211:{1,2,5,6}:{(191,1),(192,1),(198,1),(204,1),(223,1),(225,1),(227,1)}
       212:{2,4,6}:{(193,1),(195,1),(222,1),(225,1)}
       213:{2,5,7}:{(194,1),(196,1),(225,1)}
       214:{3,5,6}:{(195,1),(196,1),(198,1),(225,1),(226,1)}
       215:{4,5,7}:{(196,1),(197,1),(226,1)}
       216:{1,4,6}:{(199,1),(201,1),(221,1),(227,1)}
       217:{1,5,7}:{(200,1),(202,1),(227,1)}
       218:{3,5,6}:{(201,1),(202,1),(204,1),(227,1),(228,1)}
       219:{4,5,7}:{(202,1),(203,1),(228,1)}
       220:{1,2,5,7}:{(205,1),(206,1),(207,1),(208,1),(229,1)}
       221:{1,3,6}:{(207,1),(209,1),(216,1),(229,1)}
       222:{2,3,6}:{(208,1),(209,1),(212,1),(229,1)}
       223:{3,5,6}:{(209,1),(210,1),(211,1),(230,1)}
       224:{4,5,7}:{(210,1),(230,1)}
       225:{2,5,6}:{(212,1),(213,1),(214,1)}
       226:{4,5,6}:{(214,1),(215,1),(230,1)}
       227:{1,5,6}:{(216,1),(217,1),(218,1)}
       228:{4,5,6}:{(218,1),(219,1),(230,1)}
       229:{1,2,6}:{(220,1),(221,1),(222,1)}
       230:{4,6}:{(223,1),(224,1)}

1408 :   0:{1,3,4,6,7}:{(1,1),(2,1),(15,1),(19,1),(38,1),(40,1),(47,1),(75,1),(85,1),(111,1),(117,1)}
         1:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(23,1),(24,1),(33,1),(69,1),(103,1),(123,1)}
         2:{1,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(25,1),(32,1),(92,1),(120,1)}
         3:{1,3,5,6,7}:{(7,1),(9,1),(10,1),(31,1),(32,1),(67,1),(101,1)}
         4:{2,3,5,6,7}:{(9,1),(11,1),(22,1),(31,1),(34,1),(65,1),(68,1)}
         5:{2,3,6,7}:{(1,1),(12,1),(40,1),(117,1),(133,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(12,1),(13,1),(49,1),(130,1)}
         7:{1,3,5,6}:{(2,1),(13,1),(15,1),(40,1),(43,1)}
         8:{1,4,5,7}:{(2,1),(15,1),(16,1),(85,1),(107,1)}
         9:{1,2,5,6,7}:{(3,1),(4,1),(13,1),(17,1),(49,1),(51,1),(84,1),(87,1)}
        10:{1,4,6,7}:{(3,1),(15,1),(18,1),(19,1),(85,1),(115,1)}
        11:{2,4,6,7}:{(4,1),(20,1),(21,1),(37,1),(83,1),(86,1)}
        12:{2,3,5,7}:{(5,1),(6,1),(22,1),(23,1),(25,1),(136,1)}
        13:{1,2,5,6}:{(6,1),(7,1),(22,1),(24,1),(62,1),(92,1)}
        14:{1,2,4,5,7}:{(6,1),(8,1),(23,1),(24,1),(25,1),(28,1),(54,1),(56,1),(61,1),(92,1),(103,1),(121,1)}
        15:{1,4,6}:{(7,1),(8,1),(27,1)}
        16:{3,4,5,7}:{(8,1),(25,1),(27,1),(28,1),(32,1),(66,1),(91,1)}
        17:{1,2,4,6,7}:{(9,1),(10,1),(11,1),(24,1),(30,1),(31,1),(33,1),(35,1),(69,1),(100,1),(103,1)}
        18:{1,4,5,7}:{(10,1),(26,1),(32,1),(127,1)}
        19:{3,4,6,7}:{(10,1),(27,1),(31,1),(32,1),(33,1),(66,1),(126,1)}
        20:{2,4,5,7}:{(11,1),(29,1),(34,1),(54,1)}
        21:{3,4,6,7}:{(11,1),(31,1),(34,1),(35,1),(55,1),(63,1),(66,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(37,1),(40,1),(74,1)}
        23:{2,4,7}:{(12,1),(37,1),(38,1),(139,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(15,1),(37,1),(40,1),(44,1),(75,1),(81,1)}
        25:{3,5,7}:{(14,1),(38,1),(40,1),(74,1),(117,1),(131,1)}
        26:{1,4,5,6}:{(15,1),(18,1),(43,1)}
        27:{3,4,6}:{(15,1),(16,1),(40,1),(43,1),(44,1)}
        28:{2,4,5,7}:{(16,1),(42,1),(44,1),(49,1),(86,1),(108,1)}
        29:{2,4,5,6}:{(20,1),(45,1),(83,1)}
        30:{1,2,4,5,7}:{(17,1),(18,1),(20,1),(39,1),(46,1),(49,1),(51,1),(85,1),(86,1),(87,1)}
        31:{3,6,7}:{(17,1),(40,1),(46,1),(114,1),(117,1)}
        32:{3,5,7}:{(18,1),(19,1),(43,1),(49,1),(135,1)}
        33:{2,4,6,7}:{(19,1),(44,1),(48,1),(49,1),(86,1),(134,1)}
        34:{3,5,7}:{(20,1),(21,1),(45,1),(51,1),(74,1)}
        35:{1,4,6,7}:{(21,1),(47,1),(51,1),(75,1),(82,1),(85,1)}
        36:{2,3,4,6,7}:{(21,1),(48,1),(52,1),(53,1),(76,1),(83,1),(86,1),(114,1),(117,1),(119,1),(134,1)}
        37:{2,4,6}:{(22,1),(23,1),(54,1),(55,1)}
        38:{3,4,7}:{(23,1),(25,1),(55,1),(56,1),(137,1)}
        39:{1,2,4,5,6}:{(24,1),(26,1),(29,1),(30,1),(54,1),(58,1),(62,1),(64,1),(92,1),(96,1),(97,1),(98,1),(100,1),(121,1),(127,1),(138,1)}
        40:{3,6}:{(24,1),(25,1)}
        41:{1,3,5,7}:{(25,1),(56,1),(59,1),(61,1),(92,1),(95,1),(122,1)}
        42:{2,3,5,7}:{(25,1),(28,1),(57,1),(60,1),(61,1),(93,1)}
        43:{3,5,6}:{(26,1),(27,1),(32,1),(62,1)}
        44:{2,4,6}:{(27,1),(28,1),(60,1),(62,1)}
        45:{3,5,6}:{(29,1),(34,1),(63,1),(64,1)}
        46:{3,5,7}:{(30,1),(31,1),(58,1),(66,1)}
        47:{1,3,6,7}:{(31,1),(35,1),(59,1),(67,1),(69,1),(99,1)}
        48:{2,3,6,7}:{(31,1),(33,1),(60,1),(68,1),(69,1),(125,1)}
        49:{2,5,7}:{(32,1),(33,1),(62,1),(138,1)}
        50:{3,4,5,7}:{(34,1),(63,1),(66,1),(70,1),(71,1),(91,1),(105,1)}
        51:{1,5,7}:{(34,1),(35,1),(64,1),(92,1)}
        52:{2,3,5,7}:{(34,1),(36,1),(65,1),(71,1),(72,1),(93,1),(105,1),(138,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(69,1),(72,1),(73,1),(94,1),(100,1),(103,1),(106,1)}
        54:{2,4,5}:{(37,1),(74,1)}
        55:{3,4,6}:{(37,1),(38,1),(40,1),(74,1),(75,1)}
        56:{1,4,7}:{(38,1),(41,1),(75,1),(132,1)}
        57:{2,3,4,7}:{(38,1),(42,1),(76,1),(77,1),(86,1),(117,1)}
        58:{3,5,6}:{(39,1),(40,1),(46,1),(74,1),(78,1),(114,1),(131,1),(135,1)}
        59:{1,3,6}:{(40,1),(41,1),(75,1),(81,1)}
        60:{2,3,6}:{(40,1),(42,1),(44,1),(81,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(77,1),(81,1),(109,1)}
        62:{2,5,6}:{(43,1),(44,1),(49,1)}
        63:{3,4,6}:{(45,1),(50,1),(82,1),(83,1),(114,1)}
        64:{1,5,6}:{(45,1),(51,1),(82,1)}
        65:{2,3,5,6}:{(45,1),(52,1),(83,1),(84,1),(114,1)}
        66:{3,4,7}:{(46,1),(78,1),(85,1),(86,1),(117,1)}
        67:{1,3,5,7}:{(46,1),(47,1),(51,1),(79,1),(85,1),(87,1),(117,1)}
        68:{2,3,5,7}:{(46,1),(48,1),(49,1),(80,1),(86,1),(87,1),(117,1)}
        69:{1,2,6,7}:{(47,1),(48,1),(81,1),(87,1),(113,1)}
        70:{1,4,5,7}:{(50,1),(51,1),(82,1),(85,1),(88,1),(107,1)}
        71:{2,4,5,7}:{(50,1),(52,1),(83,1),(86,1),(108,1)}
        72:{1,2,5,7}:{(51,1),(52,1),(53,1),(84,1),(90,1),(109,1)}
        73:{1,3,6,7}:{(53,1),(90,1),(110,1),(114,1),(117,1)}
        74:{3,5}:{(54,1),(55,1),(92,1)}
        75:{1,4,6}:{(55,1),(56,1),(59,1),(92,1)}
        76:{2,3,4,6}:{(55,1),(57,1),(60,1),(93,1),(94,1),(97,1),(124,1),(137,1)}
        77:{1,2,4,7}:{(56,1),(57,1),(61,1),(94,1),(95,1)}
        78:{3,4,6}:{(58,1),(66,1),(91,1),(96,1),(97,1),(124,1),(137,1)}
        79:{1,3,5,6}:{(58,1),(59,1),(64,1),(67,1),(92,1),(96,1),(98,1),(99,1),(120,1),(122,1),(124,1)}
        80:{2,3,5,6}:{(58,1),(60,1),(62,1),(68,1),(93,1),(97,1),(98,1),(124,1),(125,1),(136,1),(138,1)}
        81:{1,2,6}:{(59,1),(60,1),(61,1)}
        82:{1,4,6}:{(63,1),(64,1),(70,1),(99,1)}
        83:{2,4,6}:{(63,1),(65,1),(71,1)}
        84:{1,2,5,6}:{(64,1),(65,1),(72,1),(100,1),(101,1),(138,1)}
        85:{1,4,7}:{(66,1),(67,1),(96,1)}
        86:{2,4,7}:{(66,1),(68,1),(97,1)}
        87:{1,2,5,7}:{(67,1),(68,1),(69,1),(98,1),(103,1)}
        88:{1,3,5,7}:{(70,1),(99,1),(102,1),(104,1),(105,1),(120,1)}
        89:{1,2,4,5,7}:{(70,1),(71,1),(72,1),(100,1),(103,1),(104,1),(105,1),(106,1),(121,1),(127,1),(129,1),(138,1)}
        90:{1,3,5,7}:{(72,1),(73,1),(101,1),(105,1),(106,1),(122,1)}
        91:{3,4,5}:{(74,1),(78,1),(107,1),(108,1),(131,1),(135,1)}
        92:{1,5}:{(74,1),(75,1)}
        93:{2,3,5}:{(74,1),(76,1),(108,1),(109,1),(131,1)}
        94:{1,2,4,6}:{(75,1),(76,1),(77,1),(81,1),(109,1),(110,1),(132,1)}
        95:{1,3,7}:{(77,1),(110,1),(117,1)}
        96:{1,4,6}:{(78,1),(79,1),(85,1),(107,1),(132,1)}
        97:{2,4,6}:{(78,1),(80,1),(86,1),(108,1),(139,1)}
        98:{1,2,5,6}:{(79,1),(80,1),(81,1),(87,1),(109,1),(112,1),(113,1),(130,1)}
        99:{1,3,6}:{(82,1),(88,1),(113,1),(114,1)}
       100:{1,2,4,6}:{(82,1),(83,1),(84,1),(89,1),(113,1),(114,1),(115,1),(134,1)}
       101:{1,3,5,6}:{(84,1),(90,1),(114,1),(115,1),(135,1)}
       102:{1,3,4,7}:{(85,1),(88,1),(111,1),(116,1),(117,1),(119,1)}
       103:{1,2,4,7}:{(85,1),(86,1),(87,1),(112,1),(117,1)}
       104:{1,2,5,7}:{(88,1),(113,1),(116,1),(118,1),(130,1)}
       105:{3,5,7}:{(89,1),(114,1),(117,1),(119,1),(131,1),(135,1)}
       106:{1,4,7}:{(90,1),(115,1),(119,1),(132,1)}
       107:{1,4,5}:{(91,1),(92,1),(96,1),(120,1)}
       108:{2,4,5}:{(91,1),(93,1),(97,1),(138,1)}
       109:{1,2,5}:{(92,1),(93,1),(94,1),(122,1)}
       110:{1,3,6}:{(94,1),(95,1),(122,1),(124,1)}
       111:{1,3,4,6}:{(96,1),(99,1),(102,1),(120,1),(123,1),(124,1),(126,1),(137,1)}
       112:{1,2,4,6}:{(96,1),(97,1),(98,1),(103,1),(121,1),(124,1)}
       113:{1,2,6}:{(99,1),(104,1),(125,1)}
       114:{3,6}:{(100,1),(105,1)}
       115:{1,4,6}:{(101,1),(106,1),(126,1),(127,1)}
       116:{1,2,4,7}:{(102,1),(104,1),(123,1),(128,1),(129,1)}
       117:{3,7}:{(103,1),(124,1)}
       118:{2,3,5,7}:{(104,1),(105,1),(125,1),(128,1),(129,1),(136,1),(138,1)}
       119:{3,4,7}:{(105,1),(106,1),(126,1),(129,1),(137,1)}
       120:{1,3,5}:{(107,1),(111,1),(130,1),(131,1),(135,1)}
       121:{1,2,4,5}:{(107,1),(108,1),(109,1),(112,1),(130,1),(131,1),(132,1),(139,1)}
       122:{1,3,5}:{(109,1),(110,1),(131,1),(132,1)}
       123:{1,2,4,6}:{(111,1),(113,1),(116,1),(130,1),(133,1),(134,1),(139,1)}
       124:{3,6}:{(112,1),(117,1),(131,1)}
       125:{2,3,6}:{(113,1),(114,1),(118,1),(134,1)}
       126:{3,4,6}:{(114,1),(115,1),(119,1),(134,1),(135,1)}
       127:{1,4,5}:{(115,1),(135,1)}
       128:{2,3,7}:{(116,1),(117,1),(133,1)}
       129:{2,4,7}:{(118,1),(119,1),(134,1),(139,1)}
       130:{1,2,5}:{(120,1),(123,1),(136,1),(138,1)}
       131:{3,5}:{(121,1),(124,1),(137,1)}
       132:{1,4}:{(122,1),(137,1)}
       133:{2,3,6}:{(123,1),(124,1),(128,1),(136,1)}
       134:{2,4,6}:{(125,1),(126,1),(129,1),(138,1)}
       135:{3,5}:{(126,1),(127,1),(138,1)}
       136:{2,3,5}:{(130,1),(131,1),(133,1),(139,1)}
       137:{3,4}:{(131,1),(132,1),(139,1)}
       138:{2,5}:{(134,1),(135,1)}
       139:{2,4}:{(136,1),(137,1)}

1409 :   0:{1,4,5,6,7}:{(1,1),(6,1),(183,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(4,1),(196,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(26,1),(181,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(21,1),(26,1),(144,1)}
         4:{2,5,6,7}:{(1,1),(7,1),(204,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(11,1),(12,1),(36,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(11,1),(165,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(12,1),(14,1),(194,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(15,1),(16,1),(34,1),(73,1),(119,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(44,1),(173,1),(181,1)}
        10:{1,3,4,5,7}:{(19,1),(20,1),(21,1),(51,1),(81,1),(84,1),(91,1),(131,1),(139,1),(143,1)}
        11:{1,4,5,7}:{(5,1),(6,1),(17,1),(21,1)}
        12:{2,4,5,7}:{(5,1),(7,1),(18,1),(22,1)}
        13:{1,3,4,6,7}:{(6,1),(19,1),(21,1),(24,1),(26,1),(51,1),(54,1)}
        14:{2,3,6,7}:{(7,1),(22,1),(25,1),(26,1),(179,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(23,1),(25,1),(26,1),(27,1),(54,1),(140,1)}
        16:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(49,1),(55,1),(95,1)}
        17:{1,4,5,6}:{(9,1),(11,1),(28,1),(155,1),(165,1)}
        18:{2,4,5,6}:{(9,1),(12,1),(29,1),(188,1),(194,1)}
        19:{1,3,4,6}:{(10,1),(28,1),(31,1),(61,1),(116,1),(163,1),(165,1)}
        20:{1,2,4,5,7}:{(10,1),(31,1),(32,1),(34,1),(64,1),(68,1),(102,1),(106,1)}
        21:{1,3,5,7}:{(11,1),(13,1),(28,1),(34,1),(36,1),(73,1)}
        22:{2,3,5,7}:{(12,1),(14,1),(29,1),(33,1),(35,1),(36,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(15,1),(30,1),(34,1),(35,1),(36,1),(40,1),(68,1),(69,1),(73,1)}
        24:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(37,1),(68,1)}
        25:{1,2,6,7}:{(14,1),(35,1),(38,1),(160,1)}
        26:{3,6,7}:{(15,1),(36,1),(163,1)}
        27:{2,4,6,7}:{(16,1),(39,1),(40,1),(68,1),(115,1)}
        28:{1,3,5,6}:{(17,1),(19,1),(21,1),(42,1),(44,1),(96,1),(131,1)}
        29:{2,3,5,6}:{(18,1),(22,1),(41,1),(43,1),(44,1),(170,1),(179,1)}
        30:{1,2,4,5,6}:{(17,1),(18,1),(23,1),(42,1),(43,1),(44,1),(56,1),(79,1),(80,1),(96,1),(127,1),(140,1)}
        31:{1,2,4,6}:{(19,1),(20,1),(42,1),(45,1),(79,1)}
        32:{2,3,5,7}:{(20,1),(45,1),(47,1),(83,1),(139,1)}
        33:{2,3,4,7}:{(22,1),(41,1),(48,1),(51,1)}
        34:{1,2,5,7}:{(21,1),(24,1),(42,1),(49,1)}
        35:{1,2,5,7}:{(22,1),(25,1),(43,1),(48,1),(50,1)}
        36:{3,5,7}:{(23,1),(26,1),(44,1),(51,1)}
        37:{2,3,6,7}:{(24,1),(26,1),(45,1),(49,1)}
        38:{1,3,6,7}:{(25,1),(26,1),(50,1),(54,1),(138,1)}
        39:{3,4,6,7}:{(26,1),(27,1),(51,1),(54,1),(55,1),(92,1)}
        40:{2,4,5,7}:{(27,1),(55,1),(56,1)}
        41:{2,3,4,6}:{(29,1),(33,1),(57,1),(58,1),(61,1)}
        42:{1,2,5,6}:{(28,1),(31,1),(34,1),(59,1),(106,1)}
        43:{1,2,5,6}:{(29,1),(35,1),(58,1),(60,1),(149,1),(160,1)}
        44:{3,5,6}:{(30,1),(36,1),(61,1),(151,1),(163,1)}
        45:{2,3,6}:{(31,1),(32,1),(163,1)}
        46:{1,2,3,5,7}:{(32,1),(62,1),(64,1),(106,1),(108,1)}
        47:{2,3,4,7}:{(32,1),(63,1),(64,1),(68,1),(113,1)}
        48:{1,2,4,7}:{(33,1),(35,1),(58,1),(66,1),(69,1)}
        49:{2,3,5,7}:{(34,1),(36,1),(37,1),(59,1),(68,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(38,1),(60,1),(66,1),(69,1),(73,1)}
        51:{3,4,7}:{(36,1),(61,1),(68,1),(69,1)}
        52:{1,2,3,6,7}:{(37,1),(38,1),(62,1),(67,1),(71,1),(158,1),(160,1),(163,1),(195,1)}
        53:{2,3,4,6,7}:{(37,1),(39,1),(63,1),(68,1),(71,1),(72,1),(113,1),(115,1),(163,1)}
        54:{1,4,6,7}:{(38,1),(39,1),(69,1),(73,1),(116,1)}
        55:{3,5,7}:{(39,1),(40,1),(73,1),(74,1)}
        56:{2,4,5,6}:{(40,1),(74,1),(115,1)}
        57:{2,3,4,5}:{(41,1),(76,1),(81,1),(167,1),(170,1)}
        58:{1,2,4,6}:{(41,1),(43,1),(48,1),(76,1),(77,1),(80,1)}
        59:{2,3,5,6}:{(42,1),(44,1),(45,1),(49,1),(79,1),(83,1)}
        60:{1,3,5,6}:{(43,1),(44,1),(50,1),(77,1),(80,1),(96,1),(125,1),(138,1)}
        61:{3,4,6}:{(44,1),(51,1),(79,1),(80,1),(81,1)}
        62:{1,2,3,6}:{(45,1),(46,1),(82,1),(134,1)}
        63:{2,3,4,6}:{(45,1),(47,1),(79,1),(82,1),(83,1),(126,1)}
        64:{1,2,4,7}:{(46,1),(47,1),(82,1),(84,1)}
        65:{2,3,4,5,7}:{(47,1),(83,1),(85,1),(86,1),(90,1),(133,1),(139,1),(173,1),(178,1),(203,1)}
        66:{1,3,7}:{(48,1),(77,1)}
        67:{1,2,3,5,7}:{(49,1),(50,1),(52,1),(78,1),(87,1),(89,1),(94,1),(137,1),(139,1),(177,1),(202,1)}
        68:{2,4,7}:{(49,1),(51,1),(79,1)}
        69:{1,4,7}:{(50,1),(51,1),(80,1)}
        70:{3,4,5,7}:{(51,1),(55,1),(81,1),(90,1),(91,1),(92,1),(139,1)}
        71:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(82,1),(89,1),(93,1),(94,1),(140,1),(205,1)}
        72:{2,3,5,7}:{(53,1),(55,1),(83,1),(90,1),(94,1),(95,1),(139,1)}
        73:{1,5,7}:{(54,1),(55,1),(96,1)}
        74:{3,5,6}:{(55,1),(56,1),(92,1),(96,1)}
        75:{2,4,5,6,7}:{(56,1),(97,1),(141,1)}
        76:{1,2,4,5}:{(57,1),(58,1),(98,1),(103,1),(146,1),(149,1)}
        77:{1,3,6}:{(58,1),(66,1),(98,1)}
        78:{1,2,3,5,6}:{(59,1),(60,1),(62,1),(67,1),(99,1),(101,1),(106,1),(119,1),(149,1),(151,1),(156,1),(160,1),(163,1),(189,1)}
        79:{2,4,6}:{(59,1),(61,1),(68,1),(102,1)}
        80:{1,4,6}:{(60,1),(61,1),(69,1),(103,1)}
        81:{3,4,5}:{(61,1),(102,1),(103,1),(151,1)}
        82:{1,2,4,6}:{(62,1),(63,1),(64,1),(105,1),(106,1)}
        83:{2,3,5}:{(63,1),(102,1),(106,1),(151,1)}
        84:{1,3,4,7}:{(64,1),(105,1),(108,1),(113,1),(193,1)}
        85:{1,2,4,5,7}:{(64,1),(65,1),(106,1),(108,1),(109,1),(155,1),(157,1),(193,1)}
        86:{2,3,4,6}:{(65,1),(107,1),(109,1),(115,1),(163,1),(191,1),(194,1)}
        87:{1,2,3,7}:{(66,1),(99,1),(111,1),(207,1)}
        88:{1,3,4,7}:{(66,1),(69,1),(100,1),(111,1),(112,1),(113,1)}
        89:{1,2,4,7}:{(67,1),(68,1),(69,1),(101,1),(113,1),(193,1),(208,1)}
        90:{2,4,5,7}:{(68,1),(70,1),(72,1),(102,1),(115,1)}
        91:{1,4,5,7}:{(69,1),(70,1),(73,1),(103,1),(112,1),(116,1)}
        92:{3,4,6}:{(70,1),(74,1),(115,1),(116,1),(163,1)}
        93:{1,3,4,6,7}:{(71,1),(105,1),(113,1),(118,1),(158,1),(163,1),(165,1),(193,1),(197,1)}
        94:{1,2,5,7}:{(71,1),(72,1),(73,1),(106,1),(118,1),(119,1),(209,1)}
        95:{2,3,5,6}:{(72,1),(74,1),(115,1),(119,1),(163,1)}
        96:{1,5,6}:{(73,1),(74,1),(116,1)}
        97:{3,5,6,7}:{(74,1),(75,1),(117,1),(121,1)}
        98:{1,3,5}:{(76,1),(77,1),(123,1)}
        99:{1,2,3,6}:{(77,1),(87,1),(122,1),(124,1),(199,1)}
       100:{1,3,4,6}:{(77,1),(80,1),(88,1),(123,1),(124,1),(125,1),(126,1),(138,1)}
       101:{1,2,4,6}:{(78,1),(79,1),(80,1),(89,1),(126,1),(127,1),(176,1),(201,1)}
       102:{2,4,5}:{(79,1),(81,1),(83,1)}
       103:{1,4,5}:{(80,1),(81,1),(125,1)}
       104:{3,4,5,6}:{(81,1),(92,1),(128,1),(129,1),(130,1),(174,1)}
       105:{1,3,4,6}:{(82,1),(84,1),(126,1),(131,1),(134,1),(176,1)}
       106:{1,2,5}:{(82,1),(83,1),(131,1)}
       107:{2,3,5,6}:{(83,1),(86,1),(128,1),(132,1),(133,1),(174,1),(204,1)}
       108:{1,3,5,7}:{(84,1),(85,1),(131,1),(134,1),(139,1)}
       109:{1,2,4,6}:{(85,1),(86,1),(132,1),(134,1),(176,1)}
       110:{2,3,4,6,7}:{(86,1),(133,1),(135,1),(141,1),(182,1),(203,1),(205,1)}
       111:{1,2,4,7}:{(87,1),(88,1),(124,1),(136,1),(137,1)}
       112:{1,3,5,7}:{(88,1),(91,1),(125,1),(137,1),(138,1),(139,1)}
       113:{3,4,7}:{(89,1),(126,1),(139,1)}
       114:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(127,1),(137,1),(139,1),(140,1),(143,1),(178,1)}
       115:{2,4,6}:{(90,1),(92,1),(95,1)}
       116:{1,4,6}:{(91,1),(92,1),(96,1),(138,1)}
       117:{3,4,6,7}:{(92,1),(97,1),(130,1),(141,1),(142,1),(182,1)}
       118:{1,3,5,7}:{(93,1),(94,1),(131,1),(139,1),(143,1),(144,1),(206,1)}
       119:{1,2,5,6}:{(94,1),(95,1),(96,1),(140,1),(144,1),(204,1)}
       120:{2,3,5,6,7}:{(95,1),(97,1),(133,1),(141,1),(145,1),(182,1)}
       121:{1,5,6,7}:{(96,1),(97,1),(142,1)}
       122:{1,2,3,5}:{(98,1),(99,1),(146,1),(149,1),(185,1)}
       123:{1,3,4}:{(98,1),(146,1)}
       124:{1,2,4,6}:{(99,1),(100,1),(111,1),(146,1),(148,1),(149,1),(160,1)}
       125:{1,3,5}:{(100,1),(103,1),(149,1),(151,1)}
       126:{3,4,6}:{(101,1),(113,1),(151,1),(163,1)}
       127:{1,2,4,5}:{(101,1),(102,1),(103,1),(106,1),(149,1),(151,1),(155,1),(188,1)}
       128:{2,4,5,6}:{(102,1),(104,1),(107,1),(115,1),(153,1)}
       129:{1,4,5,6}:{(103,1),(104,1),(116,1),(150,1),(154,1)}
       130:{3,4,5,7}:{(104,1),(117,1),(153,1),(154,1),(192,1)}
       131:{1,3,5}:{(105,1),(106,1),(151,1),(155,1)}
       132:{1,2,5,6}:{(106,1),(107,1),(109,1),(156,1),(157,1)}
       133:{2,3,5,7}:{(107,1),(110,1),(153,1),(157,1),(192,1),(209,1)}
       134:{1,3,6}:{(108,1),(109,1),(163,1)}
       135:{1,2,4,6,7}:{(109,1),(110,1),(157,1),(158,1),(193,1)}
       136:{2,3,4,7}:{(111,1),(113,1),(148,1),(159,1),(207,1),(208,1)}
       137:{1,2,5,7}:{(111,1),(112,1),(149,1),(159,1),(160,1)}
       138:{1,3,6}:{(112,1),(116,1),(160,1),(163,1)}
       139:{3,5,7}:{(113,1),(114,1),(151,1),(163,1)}
       140:{1,2,4,6}:{(114,1),(115,1),(116,1),(119,1),(160,1),(163,1),(165,1),(194,1)}
       141:{2,4,6,7}:{(115,1),(117,1),(120,1),(153,1)}
       142:{1,4,6,7}:{(116,1),(117,1),(121,1),(154,1),(161,1)}
       143:{1,4,5,7}:{(118,1),(155,1),(162,1),(165,1),(193,1)}
       144:{1,3,5,6}:{(118,1),(119,1),(163,1),(165,1),(196,1)}
       145:{1,2,5,6,7}:{(119,1),(120,1),(121,1),(157,1),(164,1),(166,1),(209,1)}
       146:{1,2,4}:{(122,1),(123,1),(167,1)}
       147:{1,3,4,5}:{(123,1),(125,1),(168,1),(169,1),(173,1)}
       148:{2,3,4,6}:{(124,1),(126,1),(136,1),(167,1),(170,1),(179,1),(199,1),(201,1)}
       149:{1,2,5}:{(124,1),(125,1),(170,1)}
       150:{1,3,5,6}:{(125,1),(129,1),(138,1),(169,1),(171,1),(172,1),(174,1)}
       151:{3,5}:{(126,1),(127,1)}
       152:{1,2,4,5,6}:{(127,1),(128,1),(129,1),(132,1),(140,1),(171,1),(174,1),(175,1),(176,1),(183,1),(201,1),(204,1)}
       153:{2,4,5,7}:{(128,1),(130,1),(133,1),(141,1)}
       154:{1,4,5,7}:{(129,1),(130,1),(142,1),(172,1)}
       155:{1,4,5}:{(131,1),(173,1),(176,1)}
       156:{1,3,5,6}:{(131,1),(132,1),(134,1),(174,1),(176,1),(177,1)}
       157:{1,2,5,7}:{(132,1),(133,1),(135,1),(177,1)}
       158:{1,3,6,7}:{(134,1),(135,1),(177,1),(182,1)}
       159:{2,3,5,7}:{(136,1),(137,1),(139,1),(170,1),(178,1),(179,1)}
       160:{1,2,6}:{(137,1),(138,1),(179,1)}
       161:{1,3,6,7}:{(138,1),(142,1),(172,1),(180,1),(182,1)}
       162:{3,4,5,7}:{(139,1),(143,1),(173,1),(178,1),(181,1),(203,1),(206,1)}
       163:{3,6}:{(139,1),(140,1)}
       164:{1,2,4,6,7}:{(140,1),(141,1),(142,1),(145,1),(175,1),(180,1),(182,1),(184,1),(205,1)}
       165:{1,4,6}:{(143,1),(144,1),(181,1)}
       166:{1,3,5,6,7}:{(144,1),(145,1),(177,1),(182,1),(184,1),(206,1)}
       167:{2,3,4}:{(146,1),(185,1)}
       168:{1,2,4,5}:{(146,1),(147,1),(149,1),(185,1),(186,1),(188,1)}
       169:{1,3,4,6}:{(147,1),(150,1),(186,1),(187,1),(191,1)}
       170:{2,3,5}:{(148,1),(149,1),(151,1),(188,1)}
       171:{1,2,5,6}:{(149,1),(150,1),(160,1),(186,1),(189,1),(190,1)}
       172:{1,3,5,7}:{(150,1),(154,1),(161,1),(187,1),(190,1),(192,1)}
       173:{3,4,5}:{(151,1),(155,1),(188,1),(191,1)}
       174:{3,5,6}:{(151,1),(152,1),(163,1),(191,1),(192,1)}
       175:{1,2,4,5,7}:{(152,1),(153,1),(154,1),(157,1),(164,1),(190,1),(192,1),(193,1),(198,1),(208,1),(209,1)}
       176:{1,4,6}:{(155,1),(156,1),(191,1),(193,1)}
       177:{1,3,5,7}:{(156,1),(157,1),(158,1),(192,1),(193,1)}
       178:{2,4,5,7}:{(159,1),(162,1),(188,1),(194,1),(208,1),(209,1)}
       179:{2,3,6}:{(159,1),(160,1),(163,1),(194,1)}
       180:{1,2,6,7}:{(160,1),(161,1),(190,1),(195,1)}
       181:{3,4,6}:{(162,1),(163,1),(165,1),(194,1),(196,1)}
       182:{3,6,7}:{(163,1),(164,1),(192,1)}
       183:{1,4,5,6}:{(165,1),(196,1),(198,1)}
       184:{1,4,6,7}:{(165,1),(166,1),(193,1),(197,1),(198,1)}
       185:{2,3,5}:{(167,1),(168,1),(199,1)}
       186:{1,2,4,6}:{(168,1),(169,1),(171,1),(199,1),(200,1),(201,1)}
       187:{1,3,4,7}:{(169,1),(172,1),(200,1),(203,1)}
       188:{2,4,5}:{(170,1),(173,1),(201,1)}
       189:{2,3,5,6}:{(170,1),(171,1),(174,1),(179,1),(199,1),(201,1),(202,1),(204,1)}
       190:{1,2,5,7}:{(171,1),(172,1),(180,1),(200,1),(202,1)}
       191:{3,4,6}:{(173,1),(174,1),(176,1),(201,1),(203,1)}
       192:{3,5,7}:{(174,1),(175,1),(182,1),(203,1)}
       193:{1,4,7}:{(176,1),(177,1),(203,1)}
       194:{2,4,6}:{(178,1),(179,1),(181,1),(204,1)}
       195:{2,3,6,7}:{(179,1),(180,1),(182,1),(202,1),(205,1)}
       196:{3,5,6}:{(181,1),(183,1),(204,1),(206,1)}
       197:{3,4,6,7}:{(181,1),(182,1),(184,1),(203,1),(205,1),(206,1)}
       198:{1,4,5,7}:{(183,1),(184,1),(206,1)}
       199:{2,3,6}:{(185,1),(186,1),(207,1)}
       200:{1,2,4,7}:{(186,1),(187,1),(190,1),(207,1),(208,1)}
       201:{2,4,6}:{(188,1),(189,1),(191,1),(208,1)}
       202:{2,3,5,7}:{(189,1),(190,1),(192,1),(195,1),(207,1),(208,1),(209,1)}
       203:{3,4,7}:{(191,1),(192,1),(193,1),(208,1)}
       204:{2,5,6}:{(194,1),(196,1),(209,1)}
       205:{2,4,6,7}:{(194,1),(195,1),(197,1),(208,1),(209,1)}
       206:{3,5,7}:{(196,1),(197,1),(198,1),(209,1)}
       207:{2,3,7}:{(199,1),(200,1)}
       208:{2,4,7}:{(201,1),(202,1),(203,1)}
       209:{2,5,7}:{(204,1),(205,1),(206,1)}

1410 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(57,1),(63,1)}
         1:{1,2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(49,1),(52,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(28,1),(48,1),(53,1)}
         3:{1,3,5,6}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(40,1),(43,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(44,1)}
         6:{1,2,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(47,1),(49,1)}
         7:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,2,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(34,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(35,1),(48,1)}
        11:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
        12:{1,2,3,5,7}:{(6,1),(8,1),(20,1),(21,1),(37,1),(40,1)}
        13:{1,3,4,5}:{(7,1),(19,1)}
        14:{1,3,4,7}:{(7,1),(8,1),(20,1)}
        15:{1,3,6,7}:{(8,1),(9,1)}
        16:{1,2,5,6,7}:{(9,1),(10,1),(24,1),(40,1)}
        17:{2,4,5,6,7}:{(10,1),(26,1),(58,1)}
        18:{2,3,4,6}:{(11,1),(27,1),(28,1),(47,1)}
        19:{1,2,4,5}:{(11,1),(13,1),(27,1)}
        20:{1,2,4,7}:{(11,1),(12,1),(14,1),(28,1)}
        21:{1,2,3,6,7}:{(12,1),(15,1),(30,1),(47,1)}
        22:{1,3,4,5,7}:{(13,1),(14,1),(29,1),(32,1),(33,1),(68,1)}
        23:{1,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1),(51,1)}
        24:{1,3,5,6,7}:{(15,1),(16,1),(33,1),(34,1),(35,1)}
        25:{1,2,4,5,6,7}:{(16,1),(17,1),(34,1),(35,1),(36,1),(50,1),(55,1),(56,1)}
        26:{3,4,5,6,7}:{(17,1),(35,1),(36,1),(68,1)}
        27:{2,3,5}:{(18,1),(19,1)}
        28:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(39,1),(40,1),(58,1)}
        30:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(39,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(24,1),(40,1),(41,1),(46,1),(57,1),(60,1),(80,1),(82,1),(83,1)}
        32:{1,3,4,6}:{(22,1),(39,1),(42,1),(77,1)}
        33:{1,3,5,7}:{(23,1),(40,1),(42,1),(43,1),(60,1)}
        34:{1,4,6,7}:{(24,1),(43,1),(44,1)}
        35:{3,5,6,7}:{(25,1),(44,1),(60,1)}
        36:{1,4,5,6,7}:{(26,1),(45,1),(78,1)}
        37:{2,3,5,7}:{(27,1),(28,1),(29,1),(47,1)}
        38:{2,3,4,6,7}:{(28,1),(30,1),(47,1),(48,1),(51,1),(67,1)}
        39:{1,2,4,6}:{(29,1),(32,1),(47,1),(49,1),(67,1)}
        40:{1,2,5,7}:{(30,1),(33,1),(48,1),(49,1)}
        41:{1,2,4,6,7}:{(31,1),(34,1),(50,1),(51,1),(55,1),(67,1),(86,1)}
        42:{1,3,5,6}:{(32,1),(33,1),(49,1),(52,1),(69,1)}
        43:{1,4,5,7}:{(33,1),(34,1),(52,1),(53,1)}
        44:{3,4,6,7}:{(34,1),(35,1),(53,1),(55,1)}
        45:{1,3,5,6,7}:{(35,1),(36,1),(54,1),(56,1),(70,1)}
        46:{2,3,5,6,7}:{(35,1),(55,1),(56,1),(71,1),(76,1)}
        47:{2,3,6}:{(37,1),(39,1)}
        48:{2,3,5,7}:{(38,1),(40,1),(57,1),(58,1),(60,1)}
        49:{1,2,5,6}:{(39,1),(40,1),(42,1),(57,1)}
        50:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(58,1),(59,1),(60,1),(65,1),(78,1),(82,1)}
        51:{3,4,6,7}:{(41,1),(60,1),(77,1)}
        52:{1,4,5,6}:{(42,1),(43,1),(63,1)}
        53:{3,4,5,7}:{(43,1),(44,1),(60,1),(63,1),(65,1)}
        54:{1,3,4,6,7}:{(44,1),(45,1),(64,1),(66,1)}
        55:{2,4,6,7}:{(44,1),(46,1),(65,1)}
        56:{1,2,5,6,7}:{(45,1),(46,1),(66,1),(82,1)}
        57:{2,3,5,6}:{(47,1),(48,1),(49,1),(67,1),(69,1)}
        58:{2,4,5,7}:{(48,1),(67,1),(68,1)}
        59:{1,2,4,5,6}:{(49,1),(50,1),(52,1),(67,1),(69,1),(74,1),(86,1),(89,1)}
        60:{3,5,7}:{(50,1),(51,1),(69,1)}
        61:{1,3,4,6,7}:{(51,1),(70,1),(72,1),(86,1),(98,1),(99,1)}
        62:{2,3,4,6,7}:{(51,1),(55,1),(71,1),(72,1),(76,1),(87,1),(92,1)}
        63:{3,4,5,6}:{(52,1),(53,1),(69,1),(74,1)}
        64:{1,3,4,5,7}:{(53,1),(54,1),(70,1),(73,1),(75,1),(99,1)}
        65:{2,4,5,7}:{(53,1),(55,1),(71,1),(74,1)}
        66:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(75,1),(76,1)}
        67:{2,4,6}:{(57,1),(58,1),(77,1)}
        68:{3,4,5,7}:{(58,1),(60,1),(77,1),(78,1)}
        69:{3,5,6}:{(59,1),(60,1),(77,1)}
        70:{1,3,5,7}:{(60,1),(61,1),(78,1),(80,1),(82,1)}
        71:{2,3,5,7}:{(60,1),(62,1),(65,1),(81,1),(82,1)}
        72:{1,2,4,6,7}:{(61,1),(62,1),(82,1),(83,1),(93,1),(96,1)}
        73:{1,3,4,5,6}:{(63,1),(64,1),(80,1),(84,1),(102,1)}
        74:{2,4,5,6}:{(63,1),(65,1),(81,1)}
        75:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(82,1),(84,1),(85,1),(96,1)}
        76:{2,3,6,7}:{(66,1),(85,1)}
        77:{3,4,6}:{(67,1),(68,1),(69,1),(86,1)}
        78:{1,4,5,7}:{(68,1),(70,1),(86,1)}
        79:{2,3,4,5,7}:{(68,1),(71,1),(87,1),(88,1),(92,1),(101,1)}
        80:{1,3,5,6}:{(69,1),(70,1),(86,1),(89,1),(98,1)}
        81:{2,3,5,6}:{(69,1),(71,1),(74,1),(87,1),(89,1)}
        82:{1,2,5,7}:{(70,1),(71,1),(72,1),(89,1)}
        83:{1,2,3,6,7}:{(72,1),(76,1),(90,1),(98,1)}
        84:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(89,1),(91,1),(100,1)}
        85:{2,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,4,6}:{(77,1),(78,1),(80,1)}
        87:{2,3,4,6}:{(77,1),(79,1),(81,1),(93,1)}
        88:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(93,1),(94,1),(96,1),(103,1)}
        89:{1,2,5,6}:{(80,1),(81,1),(82,1),(93,1)}
        90:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(94,1),(95,1),(96,1)}
        91:{2,3,5,6}:{(84,1),(85,1),(97,1)}
        92:{2,3,4,7}:{(85,1),(96,1),(97,1)}
        93:{1,2,4,6}:{(86,1),(87,1),(88,1),(89,1),(98,1)}
        94:{1,3,5,7}:{(88,1),(98,1),(99,1),(104,1)}
        95:{1,2,3,5,6}:{(89,1),(90,1),(91,1),(98,1),(100,1),(104,1)}
        96:{1,2,4,7}:{(90,1),(92,1),(99,1),(100,1)}
        97:{2,3,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{1,3,6}:{(93,1),(94,1)}
        99:{1,3,4,7}:{(94,1),(96,1),(102,1)}
       100:{1,2,4,6}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{2,3,4,5}:{(97,1),(103,1)}
       102:{1,3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       103:{1,2,4,5}:{(100,1),(101,1),(104,1)}
       104:{1,3,5}:{(102,1),(103,1)}

1411 :   0:{1,2,4,5,6}:{(2,1),(3,1),(17,1),(18,1),(19,1),(42,1),(51,1),(77,1),(78,1),(81,1),(99,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(62,1),(63,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(24,1),(29,1),(30,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(6,1),(7,1),(69,1),(91,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(12,1),(43,1),(96,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(44,1),(45,1),(46,1),(81,1)}
         6:{3,5,7}:{(2,1),(3,1),(12,1),(13,1)}
         7:{3,4,6}:{(3,1),(13,1),(16,1),(17,1),(18,1),(52,1),(83,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(21,1),(52,1),(53,1),(76,1),(77,1),(94,1),(96,1),(103,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(40,1),(52,1),(56,1),(73,1),(78,1),(84,1),(96,1),(99,1)}
        10:{1,3,4,6}:{(17,1),(20,1),(21,1),(22,1),(52,1),(53,1),(83,1),(98,1)}
        11:{4,6,7}:{(4,1),(24,1),(101,1)}
        12:{3,6,7}:{(5,1),(6,1),(91,1)}
        13:{3,4,7}:{(6,1),(7,1),(29,1),(30,1),(68,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(26,1),(29,1),(31,1),(62,1),(68,1),(90,1)}
        15:{2,3,5,7}:{(6,1),(9,1),(27,1),(30,1),(31,1),(63,1),(68,1),(90,1)}
        16:{3,4,5}:{(7,1),(32,1),(33,1),(69,1),(102,1)}
        17:{1,4,6}:{(7,1),(8,1),(29,1),(32,1),(88,1),(101,1)}
        18:{2,4,6}:{(7,1),(9,1),(30,1),(33,1),(72,1),(101,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(37,1),(59,1),(70,1),(86,1)}
        20:{1,3,4,7}:{(10,1),(29,1),(35,1),(36,1),(68,1),(92,1)}
        21:{1,3,5}:{(10,1),(32,1),(37,1),(69,1),(102,1)}
        22:{1,2,4,6}:{(10,1),(36,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        23:{2,3,4,6}:{(18,1),(39,1),(40,1),(41,1),(52,1),(73,1),(83,1),(98,1)}
        24:{4,5,7}:{(11,1),(42,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(13,1),(43,1),(44,1),(45,1),(47,1),(80,1),(97,1),(98,1)}
        26:{1,3,6,7}:{(12,1),(14,1),(44,1),(46,1),(53,1),(80,1),(94,1)}
        27:{2,3,6,7}:{(12,1),(15,1),(45,1),(46,1),(73,1),(80,1),(84,1)}
        28:{3,4,5,7}:{(13,1),(16,1),(43,1),(47,1),(48,1),(49,1),(82,1),(97,1),(104,1)}
        29:{1,4,7}:{(13,1),(14,1),(17,1),(97,1)}
        30:{2,4,7}:{(13,1),(15,1),(18,1),(97,1)}
        31:{1,2,5,7}:{(14,1),(15,1),(19,1),(46,1),(50,1)}
        32:{1,4,5}:{(16,1),(17,1),(21,1),(103,1),(104,1)}
        33:{2,4,5}:{(16,1),(18,1),(40,1),(99,1),(104,1)}
        34:{1,2,4,6}:{(17,1),(18,1),(19,1),(50,1),(51,1),(52,1)}
        35:{1,3,5,7}:{(20,1),(21,1),(48,1),(53,1),(54,1),(82,1)}
        36:{1,2,4,7}:{(20,1),(22,1),(54,1),(55,1),(85,1)}
        37:{1,2,5}:{(21,1),(22,1),(56,1),(99,1)}
        38:{2,3,6}:{(22,1),(52,1),(55,1),(56,1)}
        39:{2,3,4,7}:{(23,1),(30,1),(57,1),(58,1),(68,1),(92,1)}
        40:{2,3,5}:{(23,1),(33,1),(59,1),(69,1),(102,1)}
        41:{1,2,4,6}:{(23,1),(58,1),(59,1),(60,1),(86,1),(88,1),(100,1)}
        42:{4,5,6}:{(24,1),(61,1),(101,1)}
        43:{3,5,7}:{(24,1),(25,1),(61,1),(62,1),(63,1),(102,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(62,1),(65,1),(100,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(63,1),(66,1),(93,1)}
        46:{1,2,6,7}:{(26,1),(27,1),(31,1),(70,1),(86,1)}
        47:{3,4,6}:{(28,1),(61,1),(65,1),(66,1),(91,1),(101,1)}
        48:{1,4,5,7}:{(28,1),(29,1),(32,1),(35,1),(62,1),(65,1)}
        49:{2,4,5,7}:{(28,1),(30,1),(33,1),(57,1),(63,1),(66,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(68,1)}
        51:{1,2,4,5}:{(32,1),(33,1),(34,1),(37,1),(59,1),(69,1),(72,1),(88,1)}
        52:{3,6}:{(34,1),(68,1),(69,1)}
        53:{1,3,6}:{(35,1),(65,1),(70,1),(91,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(37,1),(70,1),(71,1)}
        55:{2,3,7}:{(36,1),(38,1),(68,1)}
        56:{2,3,5}:{(37,1),(38,1),(69,1),(72,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(49,1),(73,1),(74,1),(82,1)}
        58:{1,2,4,7}:{(39,1),(41,1),(74,1),(75,1),(95,1)}
        59:{1,2,5}:{(40,1),(41,1),(76,1),(103,1)}
        60:{1,3,6}:{(41,1),(52,1),(75,1),(76,1)}
        61:{3,5,6}:{(42,1),(43,1),(47,1),(77,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(77,1),(103,1)}
        63:{2,5,7}:{(43,1),(45,1),(78,1),(99,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(50,1),(79,1),(80,1),(81,1),(97,1)}
        65:{1,4,6}:{(47,1),(48,1),(53,1),(77,1)}
        66:{2,4,6}:{(47,1),(49,1),(73,1),(78,1)}
        67:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(51,1),(54,1),(74,1),(79,1),(81,1),(82,1),(85,1),(95,1),(97,1),(99,1),(103,1),(104,1)}
        68:{3,7}:{(50,1),(52,1)}
        69:{3,5}:{(51,1),(52,1),(83,1)}
        70:{1,2,6}:{(53,1),(54,1),(84,1)}
        71:{2,3,5,7}:{(54,1),(55,1),(56,1),(82,1),(84,1),(85,1),(99,1)}
        72:{2,4}:{(56,1),(83,1)}
        73:{2,3,6}:{(57,1),(66,1),(86,1),(91,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(86,1),(87,1)}
        75:{1,3,7}:{(58,1),(60,1),(68,1)}
        76:{1,3,5}:{(59,1),(60,1),(69,1),(88,1)}
        77:{1,5,6}:{(61,1),(62,1),(65,1)}
        78:{2,5,6}:{(61,1),(63,1),(66,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(89,1),(90,1)}
        80:{3,6,7}:{(64,1),(68,1),(90,1),(91,1)}
        81:{1,2,4,6}:{(65,1),(66,1),(67,1),(70,1),(86,1),(89,1),(91,1),(93,1),(100,1),(101,1)}
        82:{3,5,7}:{(67,1),(68,1),(69,1),(91,1),(92,1),(102,1)}
        83:{3,4}:{(69,1),(72,1),(88,1)}
        84:{2,3,6}:{(70,1),(71,1),(91,1),(93,1)}
        85:{2,4,7}:{(71,1),(72,1),(92,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{1,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(94,1),(95,1),(103,1)}
        88:{1,4}:{(76,1),(83,1)}
        89:{1,2,5,6}:{(77,1),(78,1),(79,1),(81,1),(96,1),(99,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{3,6}:{(81,1),(82,1)}
        92:{3,4,7}:{(82,1),(83,1),(85,1),(95,1),(97,1),(98,1)}
        93:{2,4,6}:{(84,1),(85,1),(98,1),(99,1)}
        94:{1,3,6}:{(86,1),(87,1),(91,1),(100,1)}
        95:{1,4,7}:{(87,1),(88,1),(92,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(91,1),(101,1),(102,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{3,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(102,1)}
        99:{2,5}:{(93,1),(102,1)}
       100:{1,4,6}:{(94,1),(95,1),(98,1),(103,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{3,5}:{(98,1),(99,1),(103,1),(104,1)}
       103:{1,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1412 :   0:{3,4,5,6}:{(3,1),(4,1),(5,1),(29,1),(74,1),(114,1),(140,1)}
         1:{1,3,4,5}:{(6,1),(9,1),(44,1),(74,1),(82,1)}
         2:{2,3,4,5}:{(7,1),(10,1),(43,1),(74,1),(80,1)}
         3:{1,4,5,6}:{(0,1),(11,1),(14,1),(93,1),(128,1)}
         4:{2,4,5,6}:{(0,1),(12,1),(15,1),(90,1),(126,1)}
         5:{3,4,5,7}:{(0,1),(14,1),(15,1),(16,1),(52,1),(131,1)}
         6:{1,3,4,6}:{(1,1),(11,1),(17,1),(18,1),(51,1)}
         7:{2,3,4,6}:{(2,1),(12,1),(19,1),(20,1),(51,1)}
         8:{1,2,3,5,6}:{(21,1),(22,1),(45,1),(48,1),(57,1),(62,1),(99,1),(103,1),(105,1),(132,1)}
         9:{1,2,4,5}:{(1,1),(17,1),(23,1),(66,1),(90,1),(99,1)}
        10:{1,2,4,5}:{(2,1),(19,1),(24,1),(66,1),(93,1),(99,1)}
        11:{1,3,5,6}:{(3,1),(6,1),(25,1),(26,1),(29,1),(82,1),(119,1)}
        12:{2,3,5,6}:{(4,1),(7,1),(27,1),(28,1),(29,1),(80,1),(118,1)}
        13:{1,2,4,5,6}:{(3,1),(4,1),(25,1),(27,1),(29,1),(30,1),(39,1),(68,1),(71,1),(86,1),(107,1),(136,1),(138,1),(139,1),(140,1)}
        14:{1,4,5,7}:{(3,1),(5,1),(26,1),(31,1)}
        15:{2,4,5,7}:{(4,1),(5,1),(28,1),(32,1)}
        16:{3,4,6,7}:{(5,1),(31,1),(32,1),(33,1),(76,1),(114,1),(116,1)}
        17:{1,2,4,6}:{(6,1),(9,1),(25,1),(34,1),(35,1),(68,1)}
        18:{1,3,4,7}:{(6,1),(26,1),(35,1),(75,1)}
        19:{1,2,4,6}:{(7,1),(10,1),(27,1),(36,1),(37,1),(71,1)}
        20:{2,3,4,7}:{(7,1),(28,1),(37,1),(75,1)}
        21:{1,2,4,6}:{(8,1),(38,1),(39,1),(40,1),(68,1),(71,1)}
        22:{1,2,3,5,7}:{(8,1),(40,1),(41,1),(69,1),(72,1),(79,1),(84,1),(87,1),(117,1)}
        23:{2,3,5}:{(9,1),(34,1),(43,1)}
        24:{1,3,5}:{(10,1),(36,1),(44,1)}
        25:{1,2,5,6}:{(11,1),(17,1),(45,1),(46,1),(99,1),(132,1)}
        26:{1,3,5,7}:{(11,1),(14,1),(18,1),(46,1),(47,1),(52,1)}
        27:{1,2,5,6}:{(12,1),(19,1),(48,1),(49,1),(99,1),(132,1)}
        28:{2,3,5,7}:{(12,1),(15,1),(20,1),(49,1),(50,1),(52,1)}
        29:{3,5,6}:{(13,1),(51,1),(52,1),(62,1),(103,1),(122,1),(141,1)}
        30:{1,2,4,5,7}:{(13,1),(14,1),(15,1),(46,1),(49,1),(52,1),(53,1),(91,1),(94,1),(127,1),(129,1),(131,1)}
        31:{1,4,6,7}:{(14,1),(16,1),(47,1),(54,1),(128,1)}
        32:{2,4,6,7}:{(15,1),(16,1),(50,1),(55,1),(126,1)}
        33:{3,5,6,7}:{(16,1),(54,1),(55,1),(56,1),(130,1)}
        34:{2,3,6}:{(17,1),(23,1),(59,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(46,1),(59,1),(91,1)}
        36:{1,3,6}:{(19,1),(24,1),(61,1)}
        37:{1,2,4,7}:{(19,1),(20,1),(49,1),(61,1),(94,1)}
        38:{3,4,6}:{(21,1),(62,1),(63,1),(103,1)}
        39:{1,2,4,5}:{(21,1),(62,1),(90,1),(93,1),(99,1)}
        40:{1,2,4,7}:{(21,1),(22,1),(63,1),(91,1),(94,1)}
        41:{1,2,3,6,7}:{(22,1),(65,1),(92,1),(95,1),(103,1),(132,1)}
        42:{1,2,3,5}:{(23,1),(24,1),(57,1),(66,1),(99,1)}
        43:{2,3,4}:{(23,1),(66,1)}
        44:{1,3,4}:{(24,1),(66,1)}
        45:{2,3,5,6}:{(25,1),(29,1),(34,1),(68,1),(69,1),(80,1),(118,1),(138,1)}
        46:{1,2,5,7}:{(25,1),(26,1),(35,1),(69,1),(70,1)}
        47:{1,3,6,7}:{(26,1),(31,1),(70,1),(76,1),(119,1)}
        48:{1,3,5,6}:{(27,1),(29,1),(36,1),(71,1),(72,1),(82,1),(119,1),(139,1)}
        49:{1,2,5,7}:{(27,1),(28,1),(37,1),(72,1),(73,1)}
        50:{2,3,6,7}:{(28,1),(32,1),(73,1),(76,1),(118,1)}
        51:{3,4,6}:{(29,1),(68,1),(71,1),(74,1),(75,1)}
        52:{3,5,7}:{(29,1),(30,1),(75,1),(76,1)}
        53:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(70,1),(73,1),(76,1),(77,1),(86,1),(111,1),(113,1),(116,1),(136,1)}
        54:{1,5,6,7}:{(31,1),(33,1),(139,1)}
        55:{2,5,6,7}:{(32,1),(33,1),(138,1)}
        56:{4,5,6,7}:{(33,1),(116,1),(140,1)}
        57:{1,2,3,6}:{(34,1),(36,1),(42,1),(78,1),(79,1)}
        58:{2,3,4,6}:{(34,1),(38,1),(43,1),(68,1),(78,1),(80,1),(81,1),(106,1),(118,1)}
        59:{2,3,7}:{(34,1),(35,1)}
        60:{1,3,4,6}:{(36,1),(38,1),(44,1),(71,1),(78,1),(82,1),(83,1),(106,1),(119,1)}
        61:{1,3,7}:{(36,1),(37,1)}
        62:{3,5}:{(38,1),(39,1)}
        63:{3,4,7}:{(38,1),(40,1),(84,1)}
        64:{1,2,4,5,7}:{(39,1),(40,1),(84,1),(86,1),(87,1),(110,1),(112,1),(117,1),(121,1)}
        65:{1,2,4,6,7}:{(40,1),(41,1),(85,1),(86,1),(87,1),(111,1),(113,1)}
        66:{1,2,4}:{(42,1),(43,1),(44,1)}
        67:{1,2,3,5,6}:{(45,1),(48,1),(57,1),(88,1),(89,1),(99,1),(122,1),(132,1),(141,1),(143,1)}
        68:{2,4,6}:{(45,1),(51,1),(90,1),(91,1)}
        69:{2,3,5,7}:{(45,1),(46,1),(52,1),(59,1),(91,1),(92,1),(127,1)}
        70:{1,2,6,7}:{(46,1),(47,1),(92,1),(132,1)}
        71:{1,4,6}:{(48,1),(51,1),(93,1),(94,1)}
        72:{1,3,5,7}:{(48,1),(49,1),(52,1),(61,1),(94,1),(95,1),(129,1)}
        73:{1,2,6,7}:{(49,1),(50,1),(95,1),(132,1)}
        74:{3,4,5}:{(51,1),(62,1),(90,1),(93,1),(122,1)}
        75:{3,4,7}:{(51,1),(52,1),(91,1),(94,1)}
        76:{3,6,7}:{(52,1),(53,1),(103,1),(141,1)}
        77:{1,2,5,6,7}:{(53,1),(54,1),(55,1),(98,1),(105,1),(127,1),(129,1),(143,1)}
        78:{1,2,4,6}:{(57,1),(58,1),(60,1),(66,1),(99,1),(100,1),(132,1)}
        79:{1,2,3,7}:{(57,1),(59,1),(61,1),(100,1)}
        80:{2,3,5}:{(58,1),(62,1),(90,1),(99,1),(122,1)}
        81:{2,3,4,7}:{(58,1),(59,1),(63,1),(91,1),(100,1),(101,1),(123,1)}
        82:{1,3,5}:{(60,1),(62,1),(93,1),(99,1),(122,1)}
        83:{1,3,4,7}:{(60,1),(61,1),(63,1),(94,1),(100,1),(102,1),(123,1)}
        84:{3,5,7}:{(62,1),(63,1),(64,1),(103,1)}
        85:{3,4,6,7}:{(63,1),(65,1),(103,1),(104,1),(133,1)}
        86:{1,2,4,6}:{(64,1),(103,1),(105,1),(126,1),(128,1),(132,1),(133,1)}
        87:{1,2,5,7}:{(65,1),(104,1),(105,1),(127,1),(129,1)}
        88:{1,2,4,6}:{(67,1),(68,1),(71,1),(106,1),(107,1),(108,1)}
        89:{1,2,3,5,7}:{(67,1),(69,1),(72,1),(79,1),(108,1),(109,1),(117,1),(134,1),(137,1)}
        90:{2,4,5}:{(68,1),(74,1),(80,1)}
        91:{2,4,7}:{(68,1),(69,1),(75,1)}
        92:{2,3,6,7}:{(69,1),(70,1),(76,1),(111,1),(118,1)}
        93:{1,4,5}:{(71,1),(74,1),(82,1)}
        94:{1,4,7}:{(71,1),(72,1),(75,1)}
        95:{1,3,6,7}:{(72,1),(73,1),(76,1),(113,1),(119,1)}
        96:{3,4,5,7}:{(74,1),(75,1),(84,1),(110,1),(112,1),(114,1),(115,1),(121,1),(134,1),(145,1)}
        97:{3,4,6,7}:{(75,1),(76,1),(111,1),(113,1),(114,1),(115,1),(116,1)}
        98:{3,5,6,7}:{(76,1),(77,1),(115,1),(116,1),(120,1),(144,1)}
        99:{1,2,5}:{(78,1),(80,1),(82,1)}
       100:{1,2,4,7}:{(78,1),(79,1),(81,1),(83,1),(117,1)}
       101:{2,3,5,7}:{(80,1),(81,1),(84,1),(110,1),(117,1),(118,1),(134,1)}
       102:{1,3,5,7}:{(82,1),(83,1),(84,1),(112,1),(117,1),(119,1),(134,1)}
       103:{3,6}:{(84,1),(86,1)}
       104:{3,5,7}:{(85,1),(87,1),(120,1),(121,1)}
       105:{1,2,5,6}:{(86,1),(87,1),(120,1),(138,1),(139,1)}
       106:{3,4,6}:{(88,1),(122,1),(123,1),(141,1)}
       107:{1,2,4,5}:{(88,1),(90,1),(93,1),(99,1),(122,1)}
       108:{1,2,4,7}:{(88,1),(89,1),(91,1),(94,1),(123,1)}
       109:{1,2,3,6,7}:{(89,1),(92,1),(95,1),(125,1),(132,1),(141,1)}
       110:{2,4,5,7}:{(90,1),(91,1),(96,1),(101,1),(126,1),(127,1)}
       111:{2,4,6,7}:{(91,1),(92,1),(97,1),(126,1),(127,1)}
       112:{1,4,5,7}:{(93,1),(94,1),(96,1),(102,1),(128,1),(129,1)}
       113:{1,4,6,7}:{(94,1),(95,1),(97,1),(128,1),(129,1)}
       114:{3,4,6}:{(96,1),(103,1),(126,1),(128,1),(130,1),(133,1),(141,1),(146,1)}
       115:{3,5,7}:{(97,1),(127,1),(129,1),(130,1),(131,1)}
       116:{4,6,7}:{(98,1),(131,1),(133,1),(146,1)}
       117:{1,2,5,7}:{(99,1),(100,1),(101,1),(102,1),(132,1)}
       118:{2,3,6}:{(101,1),(103,1),(126,1),(132,1),(141,1)}
       119:{1,3,6}:{(102,1),(103,1),(128,1),(132,1),(141,1)}
       120:{3,5,6}:{(103,1),(104,1),(105,1),(133,1)}
       121:{4,5,7}:{(104,1),(133,1)}
       122:{3,5}:{(106,1),(107,1)}
       123:{3,4,7}:{(106,1),(108,1),(134,1)}
       124:{1,2,4,5,7}:{(107,1),(108,1),(110,1),(112,1),(117,1),(134,1),(136,1),(137,1),(145,1)}
       125:{1,2,4,6,7}:{(108,1),(109,1),(111,1),(113,1),(135,1),(136,1),(137,1)}
       126:{2,4,6}:{(110,1),(114,1),(118,1),(138,1)}
       127:{2,5,7}:{(111,1),(115,1),(138,1)}
       128:{1,4,6}:{(112,1),(114,1),(119,1),(139,1)}
       129:{1,5,7}:{(113,1),(115,1),(139,1)}
       130:{3,5,6}:{(114,1),(115,1),(138,1),(139,1),(140,1)}
       131:{4,5,7}:{(115,1),(116,1),(140,1)}
       132:{1,2,6}:{(117,1),(118,1),(119,1)}
       133:{4,6}:{(120,1),(121,1)}
       134:{3,5,7}:{(122,1),(123,1),(124,1),(141,1)}
       135:{3,4,6,7}:{(123,1),(125,1),(141,1),(142,1),(146,1)}
       136:{1,2,4,6}:{(124,1),(126,1),(128,1),(132,1),(141,1),(143,1),(146,1)}
       137:{1,2,5,7}:{(125,1),(127,1),(129,1),(142,1),(143,1)}
       138:{2,5,6}:{(126,1),(127,1),(130,1)}
       139:{1,5,6}:{(128,1),(129,1),(130,1)}
       140:{4,5,6}:{(130,1),(131,1),(133,1),(146,1)}
       141:{3,6}:{(134,1),(136,1)}
       142:{3,5,7}:{(135,1),(137,1),(144,1),(145,1)}
       143:{1,2,5,6}:{(136,1),(137,1),(138,1),(139,1),(144,1)}
       144:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       145:{4,5,7}:{(142,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

1413 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(75,1),(76,1),(78,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(14,1),(39,1),(40,1),(41,1),(44,1),(46,1),(78,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(24,1),(82,1),(83,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(57,1),(58,1),(62,1),(64,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(49,1),(50,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(15,1),(33,1),(41,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(12,1),(94,1),(95,1)}
         7:{1,2,4,5}:{(4,1),(14,1),(35,1),(36,1),(44,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(15,1),(67,1),(68,1)}
         9:{3,4,6}:{(4,1),(14,1),(15,1),(41,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,4,5,6}:{(7,1),(22,1),(23,1),(24,1),(49,1),(50,1),(51,1),(59,1),(86,1),(87,1)}
        12:{1,2,5,6}:{(6,1),(18,1),(24,1),(86,1),(87,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(24,1),(25,1),(53,1),(54,1),(62,1)}
        14:{3,5}:{(7,1),(9,1)}
        15:{3,4,7}:{(8,1),(9,1),(25,1)}
        16:{1,3,4,6}:{(9,1),(26,1),(28,1),(30,1),(49,1),(60,1),(85,1),(90,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(29,1),(30,1),(50,1),(61,1),(85,1),(90,1),(105,1)}
        18:{3,5,6}:{(10,1),(12,1),(33,1),(41,1)}
        19:{4,5,7}:{(10,1),(33,1)}
        20:{3,4,5}:{(14,1),(32,1),(35,1),(36,1),(74,1)}
        21:{1,2,5,6,7}:{(12,1),(31,1),(37,1),(94,1),(95,1)}
        22:{1,2,4,5,7}:{(11,1),(37,1),(38,1),(65,1),(67,1),(68,1),(77,1),(94,1),(95,1)}
        23:{3,5,6}:{(11,1),(14,1),(32,1),(38,1),(41,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(33,1),(41,1),(71,1),(72,1),(78,1)}
        25:{3,5,7}:{(13,1),(14,1),(15,1),(41,1)}
        26:{1,3,5}:{(14,1),(16,1),(35,1),(44,1),(74,1),(109,1)}
        27:{2,3,5}:{(14,1),(17,1),(36,1),(44,1),(74,1),(109,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(42,1),(45,1),(67,1),(97,1),(100,1)}
        29:{2,3,4,7}:{(15,1),(17,1),(43,1),(45,1),(68,1),(97,1),(100,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(44,1),(45,1),(46,1),(78,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(47,1),(56,1),(81,1)}
        32:{3,4,6}:{(20,1),(23,1),(48,1),(49,1),(50,1),(85,1)}
        33:{4,6}:{(18,1),(19,1)}
        34:{3,4,5,7}:{(19,1),(20,1),(25,1),(48,1),(52,1),(53,1),(54,1),(81,1),(89,1),(110,1),(111,1)}
        35:{1,4,5}:{(20,1),(26,1),(49,1),(111,1)}
        36:{2,4,5}:{(20,1),(27,1),(50,1),(111,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(24,1),(47,1),(56,1),(82,1),(83,1),(91,1)}
        38:{3,5,7}:{(22,1),(23,1),(48,1),(56,1)}
        39:{1,3,5,6}:{(23,1),(26,1),(49,1),(57,1),(59,1),(60,1),(85,1),(86,1),(104,1)}
        40:{2,3,5,6}:{(23,1),(27,1),(50,1),(58,1),(59,1),(61,1),(85,1),(87,1),(104,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(28,1),(53,1),(60,1),(62,1),(89,1)}
        43:{2,3,5,7}:{(25,1),(27,1),(29,1),(54,1),(61,1),(62,1),(89,1)}
        44:{1,2,5}:{(26,1),(27,1),(30,1)}
        45:{1,2,4,7}:{(28,1),(29,1),(30,1),(62,1),(64,1)}
        46:{1,2,3,6}:{(30,1),(63,1),(64,1),(85,1)}
        47:{4,6,7}:{(31,1),(33,1),(65,1)}
        48:{3,4,7}:{(32,1),(38,1),(67,1),(68,1),(97,1)}
        49:{1,4,6}:{(32,1),(35,1),(39,1),(67,1),(108,1)}
        50:{2,4,6}:{(32,1),(36,1),(40,1),(68,1),(108,1)}
        51:{4,5,6}:{(33,1),(65,1),(70,1),(108,1)}
        52:{3,4,6}:{(33,1),(34,1),(41,1),(70,1),(71,1),(72,1),(99,1),(108,1)}
        53:{1,4,5,7}:{(34,1),(35,1),(42,1),(67,1),(71,1),(94,1)}
        54:{2,4,5,7}:{(34,1),(36,1),(43,1),(68,1),(72,1),(95,1)}
        55:{1,2,4,5}:{(35,1),(36,1),(44,1),(69,1),(74,1),(80,1)}
        56:{3,6,7}:{(37,1),(38,1),(41,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(67,1),(75,1),(77,1),(94,1),(97,1),(107,1)}
        58:{2,3,5,7}:{(38,1),(40,1),(68,1),(76,1),(77,1),(95,1),(97,1),(107,1)}
        59:{1,2,5,6}:{(39,1),(40,1),(44,1),(69,1),(77,1),(78,1)}
        60:{1,3,6}:{(41,1),(42,1),(71,1),(78,1),(99,1)}
        61:{2,3,6}:{(41,1),(43,1),(72,1),(78,1),(99,1)}
        62:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(78,1)}
        63:{1,2,3,5}:{(44,1),(46,1),(74,1),(80,1)}
        64:{1,2,3,7}:{(45,1),(46,1),(97,1)}
        65:{4,5,7}:{(47,1),(51,1),(81,1),(110,1)}
        66:{3,4,6,7}:{(47,1),(48,1),(52,1),(56,1),(81,1),(82,1),(83,1),(103,1),(110,1)}
        67:{1,4,7}:{(48,1),(49,1),(57,1),(110,1)}
        68:{2,4,7}:{(48,1),(50,1),(58,1),(110,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(55,1),(59,1),(84,1),(85,1)}
        70:{3,5,6}:{(51,1),(52,1),(81,1),(86,1),(87,1)}
        71:{1,4,6}:{(52,1),(53,1),(60,1),(86,1)}
        72:{2,4,6}:{(52,1),(54,1),(61,1),(87,1)}
        73:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(62,1),(84,1),(88,1),(89,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        74:{3,5}:{(55,1),(85,1),(90,1)}
        75:{1,3,6,7}:{(56,1),(57,1),(60,1),(82,1),(91,1),(103,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(61,1),(83,1),(91,1),(103,1)}
        77:{1,2,5,7}:{(57,1),(58,1),(59,1),(84,1),(91,1)}
        78:{1,2,6}:{(60,1),(61,1),(62,1)}
        79:{1,2,3,5,7}:{(62,1),(63,1),(64,1),(89,1),(92,1),(93,1),(106,1)}
        80:{1,2,4}:{(63,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(70,1),(94,1),(95,1)}
        82:{1,4,6,7}:{(66,1),(67,1),(71,1),(75,1),(94,1)}
        83:{2,4,6,7}:{(66,1),(68,1),(72,1),(76,1),(95,1)}
        84:{1,2,4,7}:{(67,1),(68,1),(69,1),(77,1),(97,1)}
        85:{3,6}:{(69,1),(74,1),(97,1)}
        86:{1,5,6}:{(70,1),(71,1),(94,1)}
        87:{2,5,6}:{(70,1),(72,1),(95,1)}
        88:{1,2,4,6}:{(71,1),(72,1),(73,1),(78,1),(98,1),(99,1),(108,1)}
        89:{3,5,7}:{(73,1),(74,1),(97,1),(99,1),(100,1),(109,1)}
        90:{3,4}:{(74,1),(80,1)}
        91:{1,2,6,7}:{(75,1),(76,1),(77,1),(78,1)}
        92:{1,2,3,6}:{(78,1),(79,1),(99,1),(101,1)}
        93:{1,2,4,7}:{(79,1),(80,1),(100,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(86,1)}
        95:{2,5,7}:{(81,1),(83,1),(87,1)}
        96:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(88,1),(91,1),(102,1),(103,1),(110,1)}
        97:{3,7}:{(84,1),(85,1)}
        98:{1,2,5,6}:{(86,1),(87,1),(88,1),(102,1),(104,1),(106,1)}
        99:{3,6}:{(88,1),(89,1)}
       100:{3,4,7}:{(89,1),(90,1),(93,1),(105,1),(110,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(98,1),(107,1)}
       103:{3,6,7}:{(96,1),(97,1),(99,1),(107,1)}
       104:{3,5,6}:{(98,1),(99,1),(107,1),(108,1),(109,1)}
       105:{3,4,6}:{(99,1),(100,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(104,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1414 :   0:{1,3,5,6,7}:{(2,1),(3,1),(13,1),(14,1),(36,1),(42,1),(80,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(13,1),(17,1),(40,1),(43,1),(77,1)}
         2:{1,2,5,6,7}:{(0,1),(1,1),(5,1),(28,1),(31,1),(58,1),(61,1),(64,1)}
         3:{1,4,6,7}:{(0,1),(6,1),(7,1),(56,1),(62,1),(100,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(9,1),(60,1),(63,1),(97,1)}
         5:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(12,1),(13,1),(16,1),(18,1),(44,1),(76,1),(79,1),(83,1)}
         6:{1,4,5,7}:{(3,1),(10,1),(14,1),(119,1)}
         7:{3,4,6,7}:{(3,1),(13,1),(14,1),(16,1),(35,1),(41,1),(118,1)}
         8:{2,4,5,7}:{(4,1),(11,1),(17,1),(116,1)}
         9:{3,4,6,7}:{(4,1),(13,1),(17,1),(18,1),(38,1),(41,1),(115,1)}
        10:{1,4,5,6}:{(6,1),(21,1),(56,1)}
        11:{2,4,5,6}:{(8,1),(22,1),(60,1)}
        12:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(20,1),(23,1),(28,1),(31,1),(62,1),(63,1),(64,1)}
        13:{3,6,7}:{(5,1),(23,1),(96,1),(99,1),(103,1)}
        14:{3,5,7}:{(6,1),(7,1),(21,1),(28,1),(132,1)}
        15:{1,3,4,6,7}:{(7,1),(24,1),(27,1),(29,1),(56,1),(62,1),(92,1),(96,1),(103,1),(105,1),(129,1)}
        16:{2,4,6,7}:{(7,1),(25,1),(28,1),(57,1),(63,1),(131,1)}
        17:{3,5,7}:{(8,1),(9,1),(22,1),(31,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(24,1),(31,1),(59,1),(62,1),(129,1)}
        19:{2,3,4,6,7}:{(9,1),(25,1),(32,1),(33,1),(60,1),(63,1),(93,1),(99,1),(103,1),(107,1),(131,1)}
        20:{1,2,4,5,6}:{(10,1),(11,1),(12,1),(34,1),(37,1),(39,1),(72,1),(73,1),(74,1),(76,1),(79,1),(110,1),(116,1),(119,1),(136,1),(137,1)}
        21:{3,5,6}:{(10,1),(14,1),(35,1),(37,1)}
        22:{3,5,6}:{(11,1),(17,1),(38,1),(39,1)}
        23:{3,5,7}:{(12,1),(13,1),(34,1),(41,1)}
        24:{1,3,6,7}:{(13,1),(18,1),(42,1),(44,1),(78,1),(114,1)}
        25:{2,3,6,7}:{(13,1),(16,1),(43,1),(44,1),(75,1),(117,1)}
        26:{3,4,5,7}:{(14,1),(35,1),(41,1),(45,1),(46,1),(71,1),(85,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(36,1),(45,1),(47,1),(85,1),(108,1),(136,1)}
        28:{2,5,7}:{(14,1),(16,1),(37,1),(137,1)}
        29:{1,2,4,6,7}:{(15,1),(16,1),(44,1),(47,1),(48,1),(76,1),(83,1),(86,1),(111,1)}
        30:{3,4,5,7}:{(17,1),(38,1),(41,1),(49,1),(50,1),(71,1),(88,1)}
        31:{1,5,7}:{(17,1),(18,1),(39,1),(136,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(40,1),(50,1),(51,1),(88,1),(109,1),(137,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(44,1),(51,1),(52,1),(79,1),(83,1),(89,1),(112,1)}
        34:{3,5,6}:{(20,1),(23,1),(53,1),(96,1),(99,1),(126,1),(130,1),(132,1)}
        35:{3,4,6}:{(21,1),(26,1),(56,1),(57,1),(96,1)}
        36:{1,3,5,6}:{(21,1),(27,1),(56,1),(58,1),(96,1)}
        37:{2,5,6}:{(21,1),(28,1),(57,1)}
        38:{3,4,6}:{(22,1),(30,1),(59,1),(60,1),(99,1)}
        39:{1,5,6}:{(22,1),(31,1),(59,1)}
        40:{2,3,5,6}:{(22,1),(32,1),(60,1),(61,1),(99,1)}
        41:{3,4,7}:{(23,1),(53,1),(62,1),(63,1),(103,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(31,1),(54,1),(62,1),(64,1),(103,1)}
        43:{2,3,5,7}:{(23,1),(25,1),(28,1),(55,1),(63,1),(64,1),(103,1)}
        44:{1,2,6,7}:{(24,1),(25,1),(64,1),(95,1),(98,1)}
        45:{1,4,5,7}:{(26,1),(27,1),(56,1),(62,1),(90,1)}
        46:{2,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(65,1),(91,1)}
        47:{1,2,5,7}:{(27,1),(28,1),(29,1),(58,1),(67,1),(124,1)}
        48:{2,3,6,7}:{(29,1),(67,1),(96,1),(103,1),(127,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(59,1),(62,1),(68,1),(90,1)}
        50:{2,4,5,7}:{(30,1),(32,1),(60,1),(63,1),(91,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(61,1),(70,1),(125,1)}
        52:{1,3,6,7}:{(33,1),(70,1),(99,1),(103,1),(128,1)}
        53:{3,4,6}:{(34,1),(41,1),(71,1),(72,1),(73,1),(113,1),(135,1)}
        54:{1,3,5,6}:{(34,1),(39,1),(42,1),(72,1),(74,1),(78,1),(108,1),(113,1),(114,1),(134,1),(136,1)}
        55:{2,3,5,6}:{(34,1),(37,1),(43,1),(73,1),(74,1),(75,1),(109,1),(113,1),(117,1),(133,1),(137,1)}
        56:{1,4,6}:{(35,1),(36,1),(45,1)}
        57:{2,4,6}:{(35,1),(37,1),(46,1),(75,1)}
        58:{1,2,5,6}:{(36,1),(37,1),(47,1),(76,1),(77,1),(136,1)}
        59:{1,4,6}:{(38,1),(39,1),(49,1),(78,1)}
        60:{2,4,6}:{(38,1),(40,1),(50,1)}
        61:{1,2,5,6}:{(39,1),(40,1),(51,1),(79,1),(80,1),(137,1)}
        62:{1,4,7}:{(41,1),(42,1),(72,1)}
        63:{2,4,7}:{(41,1),(43,1),(73,1)}
        64:{1,2,5,7}:{(42,1),(43,1),(44,1),(74,1),(83,1)}
        65:{2,3,5,7}:{(46,1),(75,1),(82,1),(84,1),(85,1),(109,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(76,1),(83,1),(84,1),(85,1),(86,1),(110,1),(116,1),(122,1),(136,1)}
        67:{2,3,5,7}:{(47,1),(48,1),(77,1),(85,1),(86,1),(133,1)}
        68:{1,3,5,7}:{(49,1),(78,1),(81,1),(87,1),(88,1),(108,1)}
        69:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(79,1),(83,1),(87,1),(88,1),(89,1),(110,1),(119,1),(123,1),(137,1)}
        70:{1,3,5,7}:{(51,1),(52,1),(80,1),(88,1),(89,1),(134,1)}
        71:{3,4,5}:{(53,1),(90,1),(91,1),(126,1),(130,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(62,1),(90,1),(139,1)}
        73:{2,4,6}:{(53,1),(55,1),(63,1),(91,1),(138,1)}
        74:{1,2,5,6}:{(54,1),(55,1),(64,1),(94,1),(95,1),(98,1),(124,1),(125,1)}
        75:{2,3,6}:{(57,1),(65,1),(95,1),(96,1)}
        76:{1,2,4,6}:{(56,1),(57,1),(58,1),(66,1),(95,1),(96,1),(97,1),(129,1)}
        77:{2,3,5,6}:{(58,1),(67,1),(96,1),(97,1),(130,1)}
        78:{1,3,6}:{(59,1),(68,1),(98,1),(99,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(69,1),(98,1),(99,1),(100,1),(131,1)}
        80:{1,3,5,6}:{(61,1),(70,1),(99,1),(100,1),(132,1)}
        81:{1,3,4,7}:{(62,1),(68,1),(92,1),(101,1),(103,1),(107,1)}
        82:{2,3,4,7}:{(63,1),(65,1),(93,1),(102,1),(103,1),(105,1)}
        83:{1,2,4,7}:{(62,1),(63,1),(64,1),(94,1),(103,1)}
        84:{1,2,5,7}:{(65,1),(95,1),(102,1),(104,1),(125,1)}
        85:{3,5,7}:{(66,1),(96,1),(103,1),(105,1),(126,1),(130,1)}
        86:{2,4,7}:{(67,1),(97,1),(105,1),(138,1)}
        87:{1,2,5,7}:{(68,1),(98,1),(101,1),(106,1),(124,1)}
        88:{3,5,7}:{(69,1),(99,1),(103,1),(107,1),(126,1),(132,1)}
        89:{1,4,7}:{(70,1),(100,1),(107,1),(139,1)}
        90:{1,4,5}:{(71,1),(72,1),(108,1),(136,1)}
        91:{2,4,5}:{(71,1),(73,1),(109,1),(137,1)}
        92:{1,3,4,6}:{(72,1),(78,1),(81,1),(108,1),(111,1),(113,1),(118,1),(135,1)}
        93:{2,3,4,6}:{(73,1),(75,1),(82,1),(109,1),(112,1),(113,1),(115,1),(135,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(83,1),(110,1),(113,1)}
        95:{1,2,6}:{(75,1),(84,1),(114,1)}
        96:{3,6}:{(76,1),(85,1)}
        97:{2,4,6}:{(77,1),(86,1),(115,1),(116,1)}
        98:{1,2,6}:{(78,1),(87,1),(117,1)}
        99:{3,6}:{(79,1),(88,1)}
       100:{1,4,6}:{(80,1),(89,1),(118,1),(119,1)}
       101:{1,2,4,7}:{(81,1),(87,1),(111,1),(120,1),(123,1)}
       102:{1,2,4,7}:{(82,1),(84,1),(112,1),(121,1),(122,1)}
       103:{3,7}:{(83,1),(113,1)}
       104:{1,3,5,7}:{(84,1),(85,1),(114,1),(121,1),(122,1),(134,1),(136,1)}
       105:{3,4,7}:{(85,1),(86,1),(115,1),(122,1),(135,1)}
       106:{2,3,5,7}:{(87,1),(88,1),(117,1),(120,1),(123,1),(133,1),(137,1)}
       107:{3,4,7}:{(88,1),(89,1),(118,1),(123,1),(135,1)}
       108:{1,3,5}:{(90,1),(92,1),(124,1),(126,1),(132,1)}
       109:{2,3,5}:{(91,1),(93,1),(125,1),(126,1),(130,1)}
       110:{1,2,4,5}:{(90,1),(91,1),(94,1),(124,1),(125,1),(126,1),(138,1),(139,1)}
       111:{1,2,4,6}:{(92,1),(98,1),(101,1),(124,1),(127,1),(131,1),(138,1)}
       112:{1,2,4,6}:{(93,1),(95,1),(102,1),(125,1),(128,1),(129,1),(139,1)}
       113:{3,6}:{(94,1),(103,1),(126,1)}
       114:{1,3,6}:{(95,1),(96,1),(104,1),(129,1)}
       115:{3,4,6}:{(96,1),(97,1),(105,1),(129,1),(130,1)}
       116:{2,4,5}:{(97,1),(130,1)}
       117:{2,3,6}:{(98,1),(99,1),(106,1),(131,1)}
       118:{3,4,6}:{(99,1),(100,1),(107,1),(131,1),(132,1)}
       119:{1,4,5}:{(100,1),(132,1)}
       120:{2,3,7}:{(101,1),(103,1),(127,1)}
       121:{1,3,7}:{(102,1),(103,1),(128,1)}
       122:{1,4,7}:{(104,1),(105,1),(129,1),(139,1)}
       123:{2,4,7}:{(106,1),(107,1),(131,1),(138,1)}
       124:{1,2,5}:{(108,1),(111,1),(133,1),(137,1)}
       125:{1,2,5}:{(109,1),(112,1),(134,1),(136,1)}
       126:{3,5}:{(110,1),(113,1),(135,1)}
       127:{2,3,6}:{(111,1),(113,1),(120,1),(133,1)}
       128:{1,3,6}:{(112,1),(113,1),(121,1),(134,1)}
       129:{1,4,6}:{(114,1),(115,1),(122,1),(136,1)}
       130:{3,5}:{(115,1),(116,1),(136,1)}
       131:{2,4,6}:{(117,1),(118,1),(123,1),(137,1)}
       132:{3,5}:{(118,1),(119,1),(137,1)}
       133:{2,3,5}:{(124,1),(126,1),(127,1),(138,1)}
       134:{1,3,5}:{(125,1),(126,1),(128,1),(139,1)}
       135:{3,4}:{(126,1),(138,1),(139,1)}
       136:{1,5}:{(129,1),(130,1)}
       137:{2,5}:{(131,1),(132,1)}
       138:{2,4}:{(133,1),(135,1)}
       139:{1,4}:{(134,1),(135,1)}

1415 :   0:{1,2,3,5,6}:{(1,1),(2,1),(7,1),(10,1),(35,1),(37,1),(39,1),(42,1),(45,1),(78,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(50,1),(52,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(18,1),(24,1),(28,1),(57,1),(58,1),(60,1)}
         3:{3,4,6}:{(1,1),(10,1),(11,1),(42,1)}
         4:{1,2,4,5}:{(1,1),(10,1),(31,1),(32,1),(35,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(71,1),(73,1)}
         6:{1,2,3,6,7}:{(2,1),(14,1),(42,1),(78,1),(79,1),(80,1)}
         7:{1,2,3,6}:{(15,1),(17,1),(18,1),(83,1)}
         8:{2,3,4,6}:{(3,1),(17,1),(19,1),(20,1),(46,1),(50,1),(59,1),(83,1),(85,1)}
         9:{1,3,4,6}:{(3,1),(17,1),(21,1),(22,1),(46,1),(52,1),(61,1),(83,1),(85,1)}
        10:{3,5}:{(3,1),(4,1)}
        11:{3,4,7}:{(3,1),(5,1),(24,1)}
        12:{1,2,4,5,6}:{(4,1),(23,1),(26,1),(27,1),(50,1),(52,1),(56,1),(90,1),(92,1),(94,1)}
        13:{1,2,4,5,7}:{(4,1),(5,1),(24,1),(27,1),(28,1),(51,1),(53,1),(57,1),(64,1)}
        14:{1,2,4,6,7}:{(5,1),(6,1),(25,1),(27,1),(28,1),(89,1),(91,1)}
        15:{1,2,3,5}:{(7,1),(29,1),(35,1),(66,1)}
        16:{3,4,5}:{(10,1),(31,1),(32,1),(33,1),(66,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(9,1),(29,1),(35,1),(36,1),(78,1)}
        18:{1,2,3,7}:{(7,1),(36,1),(97,1)}
        19:{2,3,5}:{(8,1),(10,1),(31,1),(35,1),(66,1),(99,1)}
        20:{2,3,4,7}:{(8,1),(11,1),(36,1),(38,1),(67,1),(71,1),(97,1)}
        21:{1,3,5}:{(9,1),(10,1),(32,1),(35,1),(66,1),(99,1)}
        22:{1,3,4,7}:{(9,1),(11,1),(36,1),(40,1),(67,1),(73,1),(97,1)}
        23:{3,5,6}:{(10,1),(12,1),(33,1),(41,1),(42,1)}
        24:{3,5,7}:{(10,1),(11,1),(13,1),(42,1)}
        25:{3,4,6,7}:{(11,1),(14,1),(42,1),(43,1),(82,1)}
        26:{1,2,4,5,7}:{(12,1),(41,1),(44,1),(71,1),(73,1),(77,1),(102,1),(103,1),(104,1)}
        27:{1,2,4,6}:{(13,1),(42,1),(45,1),(72,1),(74,1),(78,1),(82,1)}
        28:{1,2,5,7}:{(14,1),(43,1),(45,1),(102,1),(103,1)}
        29:{1,2,4}:{(15,1),(46,1)}
        30:{1,2,3,5,7}:{(15,1),(18,1),(48,1),(49,1),(57,1),(84,1),(88,1)}
        31:{2,4,5}:{(16,1),(19,1),(50,1),(107,1)}
        32:{1,4,5}:{(16,1),(21,1),(52,1),(107,1)}
        33:{3,4,6}:{(16,1),(23,1),(50,1),(52,1),(54,1),(83,1)}
        34:{3,4,5,7}:{(16,1),(24,1),(51,1),(53,1),(54,1),(55,1),(64,1),(84,1),(93,1),(107,1),(111,1)}
        35:{1,2,5}:{(17,1),(19,1),(21,1)}
        36:{1,2,4,7}:{(17,1),(18,1),(20,1),(22,1),(57,1)}
        37:{2,3,5,6}:{(19,1),(23,1),(50,1),(56,1),(58,1),(59,1),(83,1),(90,1),(106,1)}
        38:{2,3,5,7}:{(19,1),(20,1),(24,1),(51,1),(57,1),(59,1),(84,1)}
        39:{1,3,5,6}:{(21,1),(23,1),(52,1),(56,1),(60,1),(61,1),(83,1),(92,1),(106,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(24,1),(53,1),(57,1),(61,1),(84,1)}
        41:{3,5,7}:{(23,1),(26,1),(54,1),(62,1)}
        42:{3,6}:{(24,1),(27,1)}
        43:{3,5,7}:{(25,1),(28,1),(63,1),(64,1)}
        44:{1,2,4,6,7}:{(26,1),(27,1),(62,1),(65,1),(89,1),(91,1),(95,1),(96,1)}
        45:{1,2,5,6}:{(27,1),(28,1),(63,1),(90,1),(92,1)}
        46:{3,4}:{(29,1),(66,1)}
        47:{1,2,4,5}:{(29,1),(31,1),(32,1),(35,1),(66,1),(68,1)}
        48:{1,2,4,7}:{(29,1),(30,1),(67,1),(70,1)}
        49:{1,2,3,6}:{(30,1),(70,1),(78,1),(98,1)}
        50:{2,4,6}:{(31,1),(33,1),(37,1),(71,1),(110,1)}
        51:{2,4,5,7}:{(31,1),(34,1),(38,1),(71,1),(72,1),(102,1)}
        52:{1,4,6}:{(32,1),(33,1),(39,1),(73,1),(110,1)}
        53:{1,4,5,7}:{(32,1),(34,1),(40,1),(73,1),(74,1),(103,1)}
        54:{3,4,7}:{(33,1),(41,1),(71,1),(73,1),(97,1)}
        55:{3,4,6}:{(34,1),(42,1),(72,1),(74,1),(76,1),(82,1),(98,1),(110,1)}
        56:{1,2,5,6}:{(35,1),(37,1),(39,1),(68,1),(77,1),(78,1)}
        57:{1,2,5,7}:{(35,1),(36,1),(38,1),(40,1),(78,1)}
        58:{2,3,5,7}:{(37,1),(41,1),(71,1),(77,1),(79,1),(97,1),(102,1),(109,1)}
        59:{2,3,6}:{(38,1),(42,1),(72,1),(78,1),(98,1)}
        60:{1,3,5,7}:{(39,1),(41,1),(73,1),(77,1),(80,1),(97,1),(103,1),(109,1)}
        61:{1,3,6}:{(40,1),(42,1),(74,1),(78,1),(98,1)}
        62:{3,6,7}:{(41,1),(42,1),(44,1)}
        63:{3,5,6}:{(42,1),(43,1),(45,1),(82,1)}
        64:{4,5,7}:{(43,1),(82,1)}
        65:{1,2,5,6,7}:{(44,1),(45,1),(81,1),(102,1),(103,1)}
        66:{3,5}:{(46,1),(47,1),(83,1)}
        67:{3,4,7}:{(46,1),(48,1),(84,1),(85,1),(111,1)}
        68:{1,2,4,6}:{(47,1),(50,1),(52,1),(56,1),(83,1),(86,1)}
        69:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(53,1),(57,1),(84,1),(86,1),(87,1),(88,1),(107,1),(108,1),(111,1)}
        70:{1,2,4,6}:{(48,1),(49,1),(85,1),(88,1)}
        71:{2,4,7}:{(50,1),(54,1),(58,1),(111,1)}
        72:{2,4,6}:{(51,1),(55,1),(59,1),(90,1)}
        73:{1,4,7}:{(52,1),(54,1),(60,1),(111,1)}
        74:{1,4,6}:{(53,1),(55,1),(61,1),(92,1)}
        75:{3,4,6,7}:{(54,1),(55,1),(62,1),(89,1),(91,1),(93,1),(96,1),(105,1),(111,1)}
        76:{3,5,6}:{(55,1),(90,1),(92,1),(93,1),(94,1)}
        77:{1,2,5,7}:{(56,1),(58,1),(60,1),(86,1),(95,1)}
        78:{1,2,6}:{(57,1),(59,1),(61,1)}
        79:{2,3,6,7}:{(58,1),(59,1),(62,1),(89,1),(95,1),(105,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(62,1),(91,1),(95,1),(105,1)}
        81:{3,5,6,7}:{(62,1),(63,1),(65,1),(93,1),(96,1)}
        82:{4,6}:{(63,1),(64,1)}
        83:{3,6}:{(66,1),(68,1),(97,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(97,1),(98,1),(99,1)}
        85:{3,4,6}:{(67,1),(70,1),(98,1),(99,1),(110,1)}
        86:{1,2,4,7}:{(68,1),(71,1),(73,1),(77,1),(97,1)}
        87:{1,2,4,6}:{(69,1),(72,1),(74,1),(78,1),(98,1),(101,1),(110,1)}
        88:{1,2,5}:{(70,1),(99,1)}
        89:{2,4,6,7}:{(71,1),(72,1),(75,1),(79,1),(102,1)}
        90:{2,5,6}:{(72,1),(76,1),(102,1)}
        91:{1,4,6,7}:{(73,1),(74,1),(75,1),(80,1),(103,1)}
        92:{1,5,6}:{(74,1),(76,1),(103,1)}
        93:{3,5,7}:{(75,1),(76,1),(102,1),(103,1),(104,1)}
        94:{4,5,6}:{(76,1),(82,1),(104,1),(110,1)}
        95:{1,2,6,7}:{(77,1),(78,1),(79,1),(80,1)}
        96:{4,6,7}:{(81,1),(82,1),(104,1)}
        97:{3,7}:{(83,1),(86,1)}
        98:{3,6}:{(84,1),(87,1)}
        99:{3,5}:{(85,1),(88,1),(107,1)}
       100:{1,2,4,6,7}:{(86,1),(87,1),(89,1),(91,1),(95,1),(105,1),(108,1),(111,1)}
       101:{1,2,5,6}:{(87,1),(88,1),(90,1),(92,1),(106,1),(108,1)}
       102:{2,5,7}:{(89,1),(90,1),(93,1)}
       103:{1,5,7}:{(91,1),(92,1),(93,1)}
       104:{4,5,7}:{(93,1),(94,1),(96,1),(111,1)}
       105:{3,6,7}:{(97,1),(98,1),(100,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(101,1),(109,1),(110,1)}
       107:{4,5}:{(99,1),(110,1)}
       108:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(109,1)}
       109:{3,5,7}:{(105,1),(106,1),(108,1),(111,1)}
       110:{4,6}:{(106,1),(107,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1416 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(20,1),(51,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(32,1),(66,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(46,1),(81,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(18,1),(23,1),(45,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(19,1),(23,1),(44,1),(83,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(61,1),(101,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(60,1),(100,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(30,1),(31,1),(103,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(41,1),(81,1),(150,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(21,1),(23,1),(37,1),(46,1)}
        13:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(23,1),(38,1),(46,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(23,1),(122,1)}
        15:{1,2,3,5,6,7}:{(8,1),(23,1),(24,1),(44,1),(45,1),(47,1),(50,1),(70,1),(82,1),(83,1),(84,1),(125,1),(157,1),(169,1),(171,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(25,1),(101,1),(158,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(26,1),(100,1),(161,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(25,1),(30,1),(32,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(26,1),(31,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(32,1),(60,1),(61,1)}
        21:{1,2,4,6,7}:{(12,1),(30,1),(33,1),(52,1),(60,1)}
        22:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(53,1),(61,1)}
        23:{3,6,7}:{(14,1),(32,1),(142,1)}
        24:{1,2,4,6,7}:{(15,1),(35,1),(36,1),(60,1),(61,1),(90,1),(100,1),(101,1),(173,1),(174,1)}
        25:{1,3,5,6}:{(16,1),(18,1),(37,1),(39,1),(41,1),(144,1)}
        26:{2,3,5,6}:{(17,1),(19,1),(38,1),(40,1),(41,1),(147,1)}
        27:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(39,1),(40,1),(41,1),(71,1),(72,1),(111,1),(122,1)}
        28:{1,3,4,5,7}:{(18,1),(37,1),(42,1),(46,1),(73,1),(80,1),(115,1),(121,1),(144,1)}
        29:{2,3,4,5,7}:{(19,1),(38,1),(43,1),(46,1),(73,1),(79,1),(118,1),(121,1),(147,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(39,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(40,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(41,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(68,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(69,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(50,1),(81,1),(110,1),(157,1),(172,1)}
        36:{1,2,4,5,7}:{(24,1),(50,1),(51,1),(79,1),(80,1),(82,1),(111,1)}
        37:{1,3,4,6}:{(25,1),(28,1),(52,1),(56,1),(101,1),(142,1)}
        38:{2,3,4,6}:{(26,1),(29,1),(53,1),(56,1),(100,1),(142,1)}
        39:{1,2,5,6}:{(25,1),(30,1),(52,1),(54,1),(127,1)}
        40:{1,2,5,6}:{(26,1),(31,1),(53,1),(55,1),(130,1)}
        41:{3,5,6}:{(27,1),(32,1),(56,1),(132,1),(142,1)}
        42:{1,2,4,5,7}:{(28,1),(30,1),(52,1),(57,1),(60,1),(91,1),(94,1),(127,1)}
        43:{1,2,4,5,7}:{(29,1),(31,1),(53,1),(58,1),(61,1),(92,1),(96,1),(130,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(54,1),(60,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(55,1),(61,1)}
        46:{3,4,7}:{(32,1),(56,1),(60,1),(61,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(59,1),(63,1),(86,1),(88,1),(142,1),(166,1),(167,1)}
        48:{2,3,4,6,7}:{(33,1),(35,1),(60,1),(63,1),(64,1),(87,1),(98,1),(100,1),(129,1),(142,1),(167,1),(174,1)}
        49:{1,3,4,6,7}:{(34,1),(35,1),(61,1),(63,1),(65,1),(89,1),(98,1),(101,1),(126,1),(142,1),(166,1),(173,1)}
        50:{3,5,7}:{(35,1),(36,1),(66,1),(132,1)}
        51:{1,2,4,5,6}:{(36,1),(66,1),(100,1),(101,1),(103,1)}
        52:{1,2,4,6}:{(37,1),(39,1),(42,1),(68,1),(71,1)}
        53:{1,2,4,6}:{(38,1),(40,1),(43,1),(69,1),(72,1)}
        54:{2,3,5,6}:{(39,1),(41,1),(44,1),(68,1),(71,1),(107,1)}
        55:{1,3,5,6}:{(40,1),(41,1),(45,1),(69,1),(72,1),(109,1)}
        56:{3,4,6}:{(41,1),(46,1),(71,1),(72,1),(73,1)}
        57:{2,3,5,7}:{(42,1),(68,1),(75,1),(107,1),(121,1)}
        58:{1,3,5,7}:{(43,1),(69,1),(77,1),(109,1),(121,1)}
        59:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(70,1),(78,1),(82,1),(121,1),(169,1),(171,1)}
        60:{2,4,7}:{(44,1),(46,1),(71,1)}
        61:{1,4,7}:{(45,1),(46,1),(72,1)}
        62:{3,4,5,7}:{(46,1),(50,1),(73,1),(79,1),(80,1),(81,1),(121,1),(150,1),(172,1)}
        63:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(78,1),(82,1),(106,1),(108,1),(122,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(79,1),(82,1),(83,1),(107,1),(121,1),(147,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(80,1),(82,1),(84,1),(109,1),(121,1),(144,1)}
        66:{3,5,6}:{(50,1),(51,1),(81,1)}
        67:{1,2,4,5,6,7}:{(51,1),(85,1),(123,1),(124,1),(125,1),(152,1)}
        68:{2,3,6}:{(52,1),(57,1),(142,1)}
        69:{1,3,6}:{(53,1),(58,1),(142,1)}
        70:{1,2,3,5,6}:{(54,1),(55,1),(59,1),(86,1),(88,1),(90,1),(103,1),(127,1),(130,1),(132,1),(142,1),(159,1),(162,1)}
        71:{2,4,6}:{(54,1),(56,1),(60,1),(91,1)}
        72:{1,4,6}:{(55,1),(56,1),(61,1),(92,1)}
        73:{3,4,5}:{(56,1),(91,1),(92,1),(132,1)}
        74:{1,2,3,5,7}:{(57,1),(86,1),(94,1),(127,1),(136,1)}
        75:{2,3,4,7}:{(57,1),(60,1),(87,1),(94,1),(98,1)}
        76:{1,2,3,5,7}:{(58,1),(88,1),(96,1),(130,1),(139,1)}
        77:{1,3,4,7}:{(58,1),(61,1),(89,1),(96,1),(98,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(61,1),(90,1),(98,1),(173,1),(174,1)}
        79:{2,4,5,7}:{(60,1),(62,1),(64,1),(91,1),(100,1),(161,1),(174,1)}
        80:{1,4,5,7}:{(61,1),(62,1),(65,1),(92,1),(101,1),(158,1),(173,1)}
        81:{3,4,6}:{(62,1),(66,1),(100,1),(101,1),(142,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(65,1),(103,1),(127,1),(130,1)}
        83:{2,3,5,6}:{(64,1),(66,1),(100,1),(103,1),(142,1)}
        84:{1,3,5,6}:{(65,1),(66,1),(101,1),(103,1),(142,1)}
        85:{3,5,6,7}:{(66,1),(67,1),(102,1),(165,1)}
        86:{1,2,3,6}:{(68,1),(74,1),(106,1),(153,1)}
        87:{2,3,4,6}:{(68,1),(71,1),(75,1),(106,1),(107,1),(110,1)}
        88:{1,2,3,6}:{(69,1),(76,1),(108,1),(155,1)}
        89:{1,3,4,6}:{(69,1),(72,1),(77,1),(108,1),(109,1),(110,1)}
        90:{1,2,4,6}:{(70,1),(71,1),(72,1),(78,1),(110,1),(111,1),(168,1),(170,1)}
        91:{2,4,5}:{(71,1),(73,1),(107,1)}
        92:{1,4,5}:{(72,1),(73,1),(109,1)}
        93:{3,4,5,6}:{(73,1),(81,1),(112,1),(113,1),(114,1),(151,1)}
        94:{1,2,4,7}:{(74,1),(75,1),(106,1),(115,1)}
        95:{2,3,4,5,7}:{(75,1),(79,1),(107,1),(116,1),(117,1),(121,1),(146,1),(150,1),(172,1)}
        96:{1,2,4,7}:{(76,1),(77,1),(108,1),(118,1)}
        97:{1,3,4,5,7}:{(77,1),(80,1),(109,1),(119,1),(120,1),(121,1),(149,1),(150,1),(172,1)}
        98:{3,4,7}:{(78,1),(110,1),(121,1)}
        99:{1,2,4,5,7}:{(78,1),(79,1),(80,1),(82,1),(111,1),(121,1),(122,1)}
       100:{2,4,6}:{(79,1),(81,1),(83,1)}
       101:{1,4,6}:{(80,1),(81,1),(84,1)}
       102:{3,4,6,7}:{(81,1),(85,1),(114,1),(123,1),(124,1),(157,1),(172,1)}
       103:{1,2,5,6}:{(82,1),(83,1),(84,1),(122,1)}
       104:{2,3,5,6,7}:{(83,1),(85,1),(123,1),(125,1),(146,1),(157,1),(171,1)}
       105:{1,3,5,6,7}:{(84,1),(85,1),(124,1),(125,1),(149,1),(157,1),(169,1)}
       106:{1,2,4,6}:{(86,1),(87,1),(94,1),(126,1),(127,1)}
       107:{2,3,5}:{(87,1),(91,1),(127,1),(132,1)}
       108:{1,2,4,6}:{(88,1),(89,1),(96,1),(129,1),(130,1)}
       109:{1,3,5}:{(89,1),(92,1),(130,1),(132,1)}
       110:{3,4,6}:{(90,1),(98,1),(132,1),(142,1)}
       111:{1,2,4,5}:{(90,1),(91,1),(92,1),(127,1),(130,1),(132,1),(158,1),(161,1)}
       112:{2,4,5,6}:{(91,1),(93,1),(100,1),(128,1),(134,1)}
       113:{1,4,5,6}:{(92,1),(93,1),(101,1),(131,1),(135,1)}
       114:{3,4,5,7}:{(93,1),(102,1),(134,1),(135,1),(165,1)}
       115:{1,3,4,7}:{(94,1),(98,1),(126,1),(136,1),(173,1)}
       116:{1,2,4,5,7}:{(94,1),(95,1),(127,1),(136,1),(137,1),(158,1),(160,1),(173,1)}
       117:{2,3,4,6}:{(95,1),(100,1),(128,1),(137,1),(142,1),(164,1)}
       118:{2,3,4,7}:{(96,1),(98,1),(129,1),(139,1),(174,1)}
       119:{1,2,4,5,7}:{(96,1),(97,1),(130,1),(139,1),(140,1),(161,1),(163,1),(174,1)}
       120:{1,3,4,6}:{(97,1),(101,1),(131,1),(140,1),(142,1),(164,1)}
       121:{3,5,7}:{(98,1),(99,1),(132,1),(142,1)}
       122:{1,2,4,6}:{(99,1),(100,1),(101,1),(103,1),(142,1)}
       123:{2,4,6,7}:{(100,1),(102,1),(104,1),(134,1),(174,1)}
       124:{1,4,6,7}:{(101,1),(102,1),(105,1),(135,1),(173,1)}
       125:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(143,1),(160,1),(163,1)}
       126:{1,3,4,6}:{(106,1),(110,1),(115,1),(144,1),(153,1),(168,1)}
       127:{1,2,5}:{(106,1),(107,1),(144,1)}
       128:{2,3,5,6}:{(107,1),(112,1),(117,1),(145,1),(146,1),(151,1)}
       129:{2,3,4,6}:{(108,1),(110,1),(118,1),(147,1),(155,1),(170,1)}
       130:{1,2,5}:{(108,1),(109,1),(147,1)}
       131:{1,3,5,6}:{(109,1),(113,1),(120,1),(148,1),(149,1),(151,1)}
       132:{3,5}:{(110,1),(111,1)}
       133:{1,2,4,5,6}:{(111,1),(112,1),(113,1),(122,1),(145,1),(148,1),(151,1),(152,1),(168,1),(170,1)}
       134:{2,4,5,7}:{(112,1),(114,1),(123,1),(146,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(124,1),(149,1)}
       136:{1,3,5,7}:{(115,1),(116,1),(121,1),(144,1),(153,1)}
       137:{1,2,4,6}:{(116,1),(117,1),(145,1),(153,1),(168,1)}
       138:{2,3,4,6,7}:{(117,1),(123,1),(146,1),(154,1),(157,1),(172,1)}
       139:{2,3,5,7}:{(118,1),(119,1),(121,1),(147,1),(155,1)}
       140:{1,2,4,6}:{(119,1),(120,1),(148,1),(155,1),(170,1)}
       141:{1,3,4,6,7}:{(120,1),(124,1),(149,1),(156,1),(157,1),(172,1)}
       142:{3,6}:{(121,1),(122,1)}
       143:{1,2,4,6,7}:{(122,1),(123,1),(124,1),(125,1),(152,1),(157,1)}
       144:{1,3,5}:{(126,1),(127,1),(132,1),(158,1)}
       145:{1,2,5,6}:{(127,1),(128,1),(137,1),(159,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(134,1),(138,1),(160,1),(165,1)}
       147:{2,3,5}:{(129,1),(130,1),(132,1),(161,1)}
       148:{1,2,5,6}:{(130,1),(131,1),(140,1),(162,1),(163,1)}
       149:{1,3,5,7}:{(131,1),(135,1),(141,1),(163,1),(165,1)}
       150:{3,4,5}:{(132,1),(158,1),(161,1),(164,1)}
       151:{3,5,6}:{(132,1),(133,1),(142,1),(164,1),(165,1)}
       152:{1,2,4,5,7}:{(133,1),(134,1),(135,1),(143,1),(160,1),(163,1),(165,1),(173,1),(174,1)}
       153:{1,3,6}:{(136,1),(137,1),(142,1)}
       154:{1,2,4,6,7}:{(137,1),(138,1),(160,1),(166,1),(173,1)}
       155:{2,3,6}:{(139,1),(140,1),(142,1)}
       156:{1,2,4,6,7}:{(140,1),(141,1),(163,1),(167,1),(174,1)}
       157:{3,6,7}:{(142,1),(143,1),(165,1)}
       158:{1,4,5}:{(144,1),(150,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(151,1),(153,1),(168,1),(169,1)}
       160:{1,2,5,7}:{(145,1),(146,1),(154,1),(169,1)}
       161:{2,4,5}:{(147,1),(150,1),(170,1)}
       162:{2,3,5,6}:{(147,1),(148,1),(151,1),(155,1),(170,1),(171,1)}
       163:{1,2,5,7}:{(148,1),(149,1),(156,1),(171,1)}
       164:{3,4,6}:{(150,1),(151,1),(168,1),(170,1),(172,1)}
       165:{3,5,7}:{(151,1),(152,1),(157,1),(172,1)}
       166:{1,3,6,7}:{(153,1),(154,1),(157,1),(169,1)}
       167:{2,3,6,7}:{(155,1),(156,1),(157,1),(171,1)}
       168:{1,4,6}:{(158,1),(159,1),(164,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(165,1),(166,1),(173,1)}
       170:{2,4,6}:{(161,1),(162,1),(164,1),(174,1)}
       171:{2,3,5,7}:{(162,1),(163,1),(165,1),(167,1),(174,1)}
       172:{3,4,7}:{(164,1),(165,1),(173,1),(174,1)}
       173:{1,4,7}:{(168,1),(169,1),(172,1)}
       174:{2,4,7}:{(170,1),(171,1),(172,1)}

1417 :   0:{1,4,5,6,7}:{(2,1),(16,1),(173,1)}
         1:{1,3,4,5,7}:{(3,1),(4,1),(14,1),(47,1),(84,1),(91,1),(99,1),(127,1),(132,1),(135,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(8,1),(190,1)}
         3:{1,3,4,6}:{(1,1),(10,1),(11,1),(75,1),(153,1),(158,1),(160,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(27,1),(33,1),(62,1),(72,1),(76,1)}
         5:{1,3,4,6,7}:{(3,1),(14,1),(15,1),(16,1),(45,1),(84,1),(87,1)}
         6:{3,4,6,7}:{(2,1),(13,1),(16,1),(17,1),(45,1),(175,1)}
         7:{1,3,5,6,7}:{(2,1),(14,1),(16,1),(18,1),(45,1),(128,1)}
         8:{2,5,6,7}:{(2,1),(17,1),(202,1)}
         9:{3,4,5,6}:{(13,1),(20,1),(21,1),(53,1),(142,1),(175,1)}
        10:{1,3,5,6}:{(3,1),(14,1),(20,1),(22,1),(53,1),(91,1),(138,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(22,1),(23,1),(54,1)}
        12:{2,3,5,7}:{(4,1),(23,1),(24,1),(55,1),(132,1)}
        13:{3,4,5,7}:{(6,1),(9,1),(25,1),(26,1),(61,1)}
        14:{1,3,5,7}:{(5,1),(10,1),(25,1),(27,1),(61,1),(111,1)}
        15:{1,2,4,6,7}:{(5,1),(11,1),(27,1),(28,1),(62,1)}
        16:{1,4,6,7}:{(6,1),(7,1),(25,1),(153,1)}
        17:{2,4,6,7}:{(6,1),(8,1),(26,1),(29,1),(192,1)}
        18:{1,2,5,6,7}:{(7,1),(8,1),(27,1),(30,1),(31,1),(106,1),(111,1)}
        19:{1,2,3,5,7}:{(12,1),(32,1),(33,1),(69,1),(72,1)}
        20:{1,4,5,6}:{(9,1),(10,1),(25,1),(115,1),(153,1)}
        21:{2,4,5,6}:{(9,1),(26,1),(34,1),(164,1),(192,1)}
        22:{1,2,5,6}:{(10,1),(11,1),(27,1),(36,1),(72,1)}
        23:{2,3,6}:{(11,1),(12,1),(158,1)}
        24:{2,3,4,7}:{(12,1),(33,1),(37,1),(62,1),(104,1)}
        25:{1,4,5,7}:{(13,1),(14,1),(16,1),(20,1)}
        26:{2,4,5,7}:{(13,1),(17,1),(21,1),(40,1)}
        27:{1,2,5,7}:{(14,1),(15,1),(22,1),(42,1)}
        28:{2,3,6,7}:{(15,1),(23,1),(42,1),(45,1)}
        29:{2,3,6,7}:{(17,1),(40,1),(44,1),(45,1),(178,1)}
        30:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(41,1),(44,1),(45,1),(46,1),(87,1),(133,1)}
        31:{2,3,5,6,7}:{(18,1),(42,1),(45,1),(46,1),(86,1),(88,1)}
        32:{1,2,3,6}:{(19,1),(23,1),(50,1),(92,1)}
        33:{1,2,4,7}:{(19,1),(24,1),(47,1),(50,1)}
        34:{2,3,5,6}:{(21,1),(40,1),(48,1),(52,1),(53,1),(146,1),(178,1)}
        35:{1,2,4,5,6}:{(20,1),(21,1),(22,1),(41,1),(52,1),(53,1),(54,1),(89,1),(95,1),(98,1),(133,1),(138,1)}
        36:{2,3,5,6}:{(22,1),(23,1),(42,1),(53,1),(54,1),(55,1)}
        37:{2,3,4,6}:{(23,1),(24,1),(50,1),(54,1),(55,1),(94,1)}
        38:{2,3,4,5,7}:{(24,1),(51,1),(55,1),(56,1),(85,1),(101,1),(132,1),(142,1),(174,1),(186,1)}
        39:{1,2,3,6,7}:{(28,1),(32,1),(58,1),(59,1),(64,1),(117,1),(158,1),(194,1),(195,1)}
        40:{2,3,5,7}:{(26,1),(29,1),(34,1),(57,1),(60,1),(61,1)}
        41:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(30,1),(35,1),(60,1),(61,1),(62,1),(66,1),(107,1),(111,1)}
        42:{2,3,5,7}:{(27,1),(28,1),(36,1),(61,1),(62,1)}
        43:{2,3,4,6,7}:{(28,1),(37,1),(59,1),(62,1),(63,1),(65,1),(104,1),(109,1),(158,1)}
        44:{1,2,6,7}:{(29,1),(60,1),(64,1),(194,1)}
        45:{3,6,7}:{(30,1),(61,1),(158,1)}
        46:{2,4,6,7}:{(31,1),(62,1),(65,1),(66,1),(109,1)}
        47:{1,3,4,7}:{(33,1),(68,1),(69,1),(104,1),(167,1)}
        48:{2,3,4,6}:{(34,1),(57,1),(67,1),(70,1),(75,1)}
        49:{1,2,3,5,6}:{(32,1),(36,1),(58,1),(71,1),(72,1),(74,1),(106,1),(116,1),(118,1),(121,1),(158,1),(168,1),(169,1),(194,1)}
        50:{1,2,4,6}:{(32,1),(33,1),(37,1),(68,1),(72,1)}
        51:{1,2,4,5,7}:{(33,1),(38,1),(69,1),(72,1),(73,1),(115,1),(123,1),(167,1)}
        52:{1,2,5,6}:{(34,1),(60,1),(70,1),(74,1),(168,1),(194,1)}
        53:{3,5,6}:{(35,1),(61,1),(75,1),(121,1),(158,1)}
        54:{2,4,6}:{(36,1),(62,1),(75,1),(76,1)}
        55:{2,3,5}:{(37,1),(72,1),(76,1),(121,1)}
        56:{2,3,4,6}:{(38,1),(73,1),(77,1),(109,1),(158,1),(166,1),(192,1)}
        57:{2,3,4,7}:{(40,1),(48,1),(80,1),(84,1)}
        58:{1,2,3,5,7}:{(39,1),(42,1),(49,1),(81,1),(82,1),(83,1),(129,1),(132,1),(144,1),(177,1),(188,1)}
        59:{1,2,4,6,7}:{(39,1),(43,1),(50,1),(79,1),(81,1),(82,1),(87,1),(133,1),(204,1)}
        60:{1,2,5,7}:{(40,1),(44,1),(52,1),(80,1),(83,1)}
        61:{3,5,7}:{(41,1),(45,1),(53,1),(84,1)}
        62:{2,4,7}:{(42,1),(54,1),(84,1)}
        63:{2,3,5,7}:{(43,1),(55,1),(82,1),(85,1),(86,1),(88,1),(132,1)}
        64:{1,3,6,7}:{(44,1),(45,1),(83,1),(87,1),(179,1)}
        65:{3,4,6,7}:{(45,1),(46,1),(84,1),(87,1),(88,1),(136,1)}
        66:{2,4,5,7}:{(46,1),(88,1),(89,1)}
        67:{2,3,4,5}:{(48,1),(90,1),(99,1),(146,1),(182,1)}
        68:{1,3,4,6}:{(47,1),(50,1),(91,1),(92,1),(94,1),(143,1)}
        69:{1,3,5,7}:{(47,1),(51,1),(91,1),(92,1),(132,1)}
        70:{1,2,4,6}:{(48,1),(52,1),(80,1),(90,1),(93,1),(98,1)}
        71:{1,2,4,6}:{(49,1),(54,1),(81,1),(94,1),(95,1),(98,1),(143,1),(184,1)}
        72:{1,2,5}:{(50,1),(55,1),(91,1)}
        73:{1,2,4,6}:{(51,1),(56,1),(92,1),(96,1),(143,1)}
        74:{1,3,5,6}:{(52,1),(53,1),(83,1),(93,1),(98,1),(138,1),(147,1),(179,1)}
        75:{3,4,6}:{(53,1),(54,1),(84,1),(98,1),(99,1)}
        76:{2,4,5}:{(54,1),(55,1),(99,1)}
        77:{2,3,5,6}:{(55,1),(56,1),(96,1),(100,1),(101,1),(148,1),(202,1)}
        78:{2,3,4,6,7}:{(56,1),(97,1),(101,1),(137,1),(180,1),(186,1),(204,1)}
        79:{1,3,4,6,7}:{(59,1),(68,1),(102,1),(104,1),(117,1),(153,1),(158,1),(167,1),(193,1)}
        80:{1,2,4,7}:{(57,1),(60,1),(70,1),(103,1),(107,1)}
        81:{1,2,4,7}:{(58,1),(62,1),(71,1),(104,1),(107,1),(167,1),(199,1)}
        82:{1,2,5,7}:{(59,1),(63,1),(72,1),(102,1),(106,1),(111,1),(208,1)}
        83:{1,3,5,7}:{(60,1),(61,1),(64,1),(74,1),(103,1),(107,1),(111,1)}
        84:{3,4,7}:{(61,1),(62,1),(75,1),(107,1)}
        85:{2,4,5,7}:{(62,1),(63,1),(76,1),(108,1),(109,1)}
        86:{2,3,5,6}:{(63,1),(106,1),(109,1),(112,1),(158,1)}
        87:{1,4,6,7}:{(64,1),(65,1),(107,1),(111,1),(160,1)}
        88:{3,5,7}:{(65,1),(66,1),(111,1),(112,1)}
        89:{2,4,5,6}:{(66,1),(109,1),(112,1)}
        90:{1,2,4,5}:{(67,1),(70,1),(114,1),(124,1),(163,1),(168,1)}
        91:{1,3,5}:{(68,1),(72,1),(115,1),(121,1)}
        92:{1,3,6}:{(69,1),(73,1),(158,1)}
        93:{1,3,6}:{(70,1),(103,1),(114,1)}
        94:{3,4,6}:{(71,1),(104,1),(121,1),(158,1)}
        95:{1,2,4,5}:{(71,1),(72,1),(76,1),(115,1),(121,1),(124,1),(164,1),(168,1)}
        96:{1,2,5,6}:{(72,1),(73,1),(77,1),(116,1),(123,1)}
        97:{1,2,4,6,7}:{(73,1),(78,1),(117,1),(123,1),(167,1)}
        98:{1,4,6}:{(74,1),(75,1),(107,1),(124,1)}
        99:{3,4,5}:{(75,1),(76,1),(121,1),(124,1)}
       100:{2,4,5,6}:{(76,1),(77,1),(109,1),(125,1),(126,1)}
       101:{2,3,5,7}:{(77,1),(78,1),(123,1),(126,1),(171,1),(208,1)}
       102:{1,3,5,7}:{(79,1),(82,1),(91,1),(127,1),(128,1),(132,1),(203,1)}
       103:{1,3,7}:{(80,1),(93,1)}
       104:{3,4,7}:{(81,1),(94,1),(132,1)}
       105:{1,2,4,5,7}:{(81,1),(82,1),(85,1),(95,1),(127,1),(132,1),(133,1),(135,1),(174,1),(177,1)}
       106:{1,2,5,6}:{(82,1),(86,1),(128,1),(133,1),(138,1),(202,1)}
       107:{1,4,7}:{(83,1),(84,1),(98,1)}
       108:{3,4,5,7}:{(84,1),(85,1),(88,1),(99,1),(132,1),(135,1),(136,1)}
       109:{2,4,6}:{(85,1),(86,1),(136,1)}
       110:{2,3,5,6,7}:{(86,1),(101,1),(134,1),(137,1),(139,1),(180,1)}
       111:{1,5,7}:{(87,1),(88,1),(138,1)}
       112:{3,5,6}:{(88,1),(89,1),(136,1),(138,1)}
       113:{2,4,5,6,7}:{(89,1),(137,1),(139,1)}
       114:{1,3,5}:{(90,1),(93,1),(141,1)}
       115:{1,4,5}:{(91,1),(142,1),(143,1)}
       116:{1,3,5,6}:{(91,1),(92,1),(96,1),(143,1),(144,1),(148,1)}
       117:{1,3,6,7}:{(92,1),(97,1),(144,1),(180,1)}
       118:{1,2,3,6}:{(93,1),(129,1),(140,1),(145,1),(206,1)}
       119:{2,3,4,6}:{(94,1),(130,1),(145,1),(146,1),(178,1),(182,1),(184,1),(206,1)}
       120:{1,3,4,6}:{(93,1),(94,1),(98,1),(131,1),(141,1),(145,1),(147,1),(179,1)}
       121:{3,5}:{(94,1),(95,1)}
       122:{1,2,4,5,6}:{(95,1),(96,1),(100,1),(133,1),(143,1),(148,1),(149,1),(150,1),(173,1),(184,1),(187,1),(202,1)}
       123:{1,2,5,7}:{(96,1),(97,1),(101,1),(144,1)}
       124:{1,4,5}:{(98,1),(99,1),(147,1)}
       125:{3,4,5,6}:{(99,1),(100,1),(136,1),(148,1),(150,1),(151,1)}
       126:{2,4,5,7}:{(100,1),(101,1),(137,1),(151,1)}
       127:{1,4,5,7}:{(102,1),(115,1),(152,1),(153,1),(167,1)}
       128:{1,3,5,6}:{(102,1),(106,1),(153,1),(158,1),(190,1)}
       129:{1,2,3,7}:{(103,1),(118,1),(155,1),(209,1)}
       130:{2,3,4,7}:{(104,1),(119,1),(155,1),(156,1),(199,1),(209,1)}
       131:{1,3,4,7}:{(103,1),(104,1),(107,1),(120,1),(155,1),(157,1)}
       132:{3,5,7}:{(104,1),(105,1),(121,1),(158,1)}
       133:{1,2,4,6}:{(105,1),(106,1),(109,1),(153,1),(158,1),(160,1),(192,1),(194,1)}
       134:{1,2,5,6,7}:{(106,1),(110,1),(123,1),(154,1),(159,1),(162,1),(208,1)}
       135:{1,4,5,7}:{(107,1),(108,1),(111,1),(124,1),(157,1),(160,1)}
       136:{3,4,6}:{(108,1),(109,1),(112,1),(158,1),(160,1)}
       137:{2,4,6,7}:{(109,1),(110,1),(126,1),(161,1)}
       138:{1,5,6}:{(111,1),(112,1),(160,1)}
       139:{3,5,6,7}:{(112,1),(113,1),(161,1),(162,1)}
       140:{1,2,3,5}:{(114,1),(118,1),(163,1),(168,1),(197,1)}
       141:{1,3,4}:{(114,1),(163,1)}
       142:{3,4,5}:{(115,1),(121,1),(164,1),(166,1)}
       143:{1,4,6}:{(115,1),(116,1),(166,1),(167,1)}
       144:{1,3,5,7}:{(116,1),(117,1),(123,1),(167,1),(171,1)}
       145:{1,2,4,6}:{(118,1),(119,1),(120,1),(155,1),(163,1),(168,1),(194,1)}
       146:{2,3,5}:{(119,1),(121,1),(164,1),(168,1)}
       147:{1,3,5}:{(120,1),(121,1),(124,1),(168,1)}
       148:{3,5,6}:{(121,1),(122,1),(158,1),(166,1),(171,1)}
       149:{1,2,4,5,7}:{(122,1),(123,1),(126,1),(159,1),(167,1),(171,1),(172,1),(191,1),(199,1),(201,1),(208,1)}
       150:{1,4,5,6}:{(124,1),(125,1),(160,1),(170,1),(172,1)}
       151:{3,4,5,7}:{(125,1),(126,1),(161,1),(171,1),(172,1)}
       152:{3,4,5,7}:{(127,1),(132,1),(142,1),(174,1),(175,1),(186,1),(203,1)}
       153:{1,4,6}:{(127,1),(128,1),(175,1)}
       154:{1,3,5,6,7}:{(128,1),(134,1),(144,1),(176,1),(180,1),(203,1)}
       155:{1,2,4,7}:{(129,1),(130,1),(131,1),(145,1),(177,1)}
       156:{2,3,5,7}:{(130,1),(132,1),(146,1),(174,1),(177,1),(178,1)}
       157:{1,3,5,7}:{(131,1),(132,1),(135,1),(147,1),(177,1),(179,1)}
       158:{3,6}:{(132,1),(133,1)}
       159:{1,2,4,6,7}:{(133,1),(134,1),(137,1),(149,1),(176,1),(180,1),(181,1),(204,1),(205,1)}
       160:{1,4,6}:{(135,1),(136,1),(138,1),(179,1)}
       161:{3,4,6,7}:{(136,1),(137,1),(139,1),(151,1),(180,1),(181,1)}
       162:{1,5,6,7}:{(138,1),(139,1),(181,1)}
       163:{1,2,4}:{(140,1),(141,1),(182,1)}
       164:{2,4,5}:{(142,1),(146,1),(184,1)}
       165:{1,3,4,5}:{(141,1),(142,1),(147,1),(183,1),(185,1)}
       166:{3,4,6}:{(142,1),(143,1),(148,1),(184,1),(186,1)}
       167:{1,4,7}:{(143,1),(144,1),(186,1)}
       168:{1,2,5}:{(145,1),(146,1),(147,1)}
       169:{2,3,5,6}:{(146,1),(148,1),(178,1),(184,1),(187,1),(188,1),(202,1),(206,1)}
       170:{1,3,5,6}:{(147,1),(148,1),(150,1),(179,1),(185,1),(187,1),(189,1)}
       171:{3,5,7}:{(148,1),(149,1),(180,1),(186,1)}
       172:{1,4,5,7}:{(150,1),(151,1),(181,1),(189,1)}
       173:{1,4,5,6}:{(153,1),(190,1),(191,1)}
       174:{2,4,5,7}:{(152,1),(156,1),(164,1),(192,1),(199,1),(208,1)}
       175:{3,4,6}:{(152,1),(153,1),(158,1),(190,1),(192,1)}
       176:{1,4,6,7}:{(153,1),(154,1),(167,1),(191,1),(193,1)}
       177:{1,2,5,7}:{(155,1),(156,1),(157,1),(168,1),(194,1)}
       178:{2,3,6}:{(156,1),(158,1),(192,1),(194,1)}
       179:{1,3,6}:{(157,1),(158,1),(160,1),(194,1)}
       180:{3,6,7}:{(158,1),(159,1),(171,1)}
       181:{1,4,6,7}:{(160,1),(161,1),(162,1),(172,1),(196,1)}
       182:{2,3,4}:{(163,1),(197,1)}
       183:{1,2,4,5}:{(163,1),(164,1),(165,1),(168,1),(197,1),(198,1)}
       184:{2,4,6}:{(164,1),(166,1),(169,1),(199,1)}
       185:{1,3,4,6}:{(165,1),(166,1),(170,1),(198,1),(200,1)}
       186:{3,4,7}:{(166,1),(167,1),(171,1),(199,1)}
       187:{1,2,5,6}:{(168,1),(169,1),(170,1),(194,1),(198,1),(201,1)}
       188:{2,3,5,7}:{(169,1),(171,1),(195,1),(199,1),(201,1),(208,1),(209,1)}
       189:{1,3,5,7}:{(170,1),(171,1),(172,1),(196,1),(200,1),(201,1)}
       190:{3,5,6}:{(173,1),(175,1),(202,1),(203,1)}
       191:{1,4,5,7}:{(173,1),(176,1),(203,1)}
       192:{2,4,6}:{(174,1),(175,1),(178,1),(202,1)}
       193:{3,4,6,7}:{(175,1),(176,1),(180,1),(186,1),(203,1),(204,1)}
       194:{1,2,6}:{(177,1),(178,1),(179,1)}
       195:{2,3,6,7}:{(178,1),(180,1),(188,1),(204,1),(205,1)}
       196:{1,3,6,7}:{(179,1),(180,1),(181,1),(189,1),(205,1)}
       197:{2,3,5}:{(182,1),(183,1),(206,1)}
       198:{1,2,4,6}:{(183,1),(184,1),(185,1),(187,1),(206,1),(207,1)}
       199:{2,4,7}:{(184,1),(186,1),(188,1)}
       200:{1,3,4,7}:{(185,1),(186,1),(189,1),(207,1)}
       201:{1,2,5,7}:{(187,1),(188,1),(189,1),(205,1),(207,1)}
       202:{2,5,6}:{(190,1),(192,1),(208,1)}
       203:{3,5,7}:{(190,1),(191,1),(193,1),(208,1)}
       204:{2,4,6,7}:{(192,1),(193,1),(195,1),(199,1),(208,1)}
       205:{1,2,6,7}:{(194,1),(195,1),(196,1),(201,1)}
       206:{2,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,2,4,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       208:{2,5,7}:{(202,1),(203,1),(204,1)}
       209:{2,3,7}:{(206,1),(207,1)}

1418 :   0:{2,4,5,6,7}:{(2,1),(17,1),(173,1)}
         1:{2,3,4,5,7}:{(3,1),(4,1),(14,1),(47,1),(84,1),(91,1),(99,1),(127,1),(132,1),(135,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(7,1),(190,1)}
         3:{2,3,4,6}:{(1,1),(10,1),(11,1),(75,1),(153,1),(158,1),(160,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(27,1),(33,1),(62,1),(72,1),(76,1)}
         5:{2,3,4,6,7}:{(3,1),(14,1),(15,1),(17,1),(45,1),(84,1),(87,1)}
         6:{3,4,6,7}:{(2,1),(13,1),(16,1),(17,1),(45,1),(175,1)}
         7:{1,5,6,7}:{(2,1),(16,1),(202,1)}
         8:{2,3,5,6,7}:{(2,1),(14,1),(17,1),(18,1),(45,1),(128,1)}
         9:{3,4,5,6}:{(13,1),(20,1),(21,1),(53,1),(142,1),(175,1)}
        10:{2,3,5,6}:{(3,1),(14,1),(21,1),(22,1),(53,1),(91,1),(138,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(22,1),(23,1),(54,1)}
        12:{1,3,5,7}:{(4,1),(23,1),(24,1),(55,1),(132,1)}
        13:{3,4,5,7}:{(6,1),(9,1),(25,1),(26,1),(61,1)}
        14:{2,3,5,7}:{(5,1),(10,1),(26,1),(27,1),(61,1),(111,1)}
        15:{1,2,4,6,7}:{(5,1),(11,1),(27,1),(28,1),(62,1)}
        16:{1,4,6,7}:{(6,1),(7,1),(25,1),(29,1),(192,1)}
        17:{2,4,6,7}:{(6,1),(8,1),(26,1),(153,1)}
        18:{1,2,5,6,7}:{(7,1),(8,1),(27,1),(30,1),(31,1),(106,1),(111,1)}
        19:{1,2,3,5,7}:{(12,1),(32,1),(33,1),(69,1),(72,1)}
        20:{1,4,5,6}:{(9,1),(25,1),(34,1),(165,1),(192,1)}
        21:{2,4,5,6}:{(9,1),(10,1),(26,1),(115,1),(153,1)}
        22:{1,2,5,6}:{(10,1),(11,1),(27,1),(36,1),(72,1)}
        23:{1,3,6}:{(11,1),(12,1),(158,1)}
        24:{1,3,4,7}:{(12,1),(33,1),(37,1),(62,1),(104,1)}
        25:{1,4,5,7}:{(13,1),(16,1),(20,1),(40,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(17,1),(21,1)}
        27:{1,2,5,7}:{(14,1),(15,1),(22,1),(42,1)}
        28:{1,3,6,7}:{(15,1),(23,1),(42,1),(45,1)}
        29:{1,3,6,7}:{(16,1),(40,1),(44,1),(45,1),(179,1)}
        30:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(41,1),(44,1),(45,1),(46,1),(87,1),(133,1)}
        31:{1,3,5,6,7}:{(18,1),(42,1),(45,1),(46,1),(86,1),(88,1)}
        32:{1,2,3,6}:{(19,1),(23,1),(50,1),(92,1)}
        33:{1,2,4,7}:{(19,1),(24,1),(47,1),(50,1)}
        34:{1,3,5,6}:{(20,1),(40,1),(48,1),(52,1),(53,1),(147,1),(179,1)}
        35:{1,2,4,5,6}:{(20,1),(21,1),(22,1),(41,1),(52,1),(53,1),(54,1),(89,1),(95,1),(98,1),(133,1),(138,1)}
        36:{1,3,5,6}:{(22,1),(23,1),(42,1),(53,1),(54,1),(55,1)}
        37:{1,3,4,6}:{(23,1),(24,1),(50,1),(54,1),(55,1),(94,1)}
        38:{1,3,4,5,7}:{(24,1),(51,1),(55,1),(56,1),(85,1),(101,1),(132,1),(142,1),(174,1),(186,1)}
        39:{1,2,3,6,7}:{(28,1),(32,1),(58,1),(59,1),(64,1),(117,1),(158,1),(194,1),(196,1)}
        40:{1,3,5,7}:{(25,1),(29,1),(34,1),(57,1),(60,1),(61,1)}
        41:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(30,1),(35,1),(60,1),(61,1),(62,1),(66,1),(107,1),(111,1)}
        42:{1,3,5,7}:{(27,1),(28,1),(36,1),(61,1),(62,1)}
        43:{1,3,4,6,7}:{(28,1),(37,1),(59,1),(62,1),(63,1),(65,1),(104,1),(109,1),(158,1)}
        44:{1,2,6,7}:{(29,1),(60,1),(64,1),(194,1)}
        45:{3,6,7}:{(30,1),(61,1),(158,1)}
        46:{1,4,6,7}:{(31,1),(62,1),(65,1),(66,1),(109,1)}
        47:{2,3,4,7}:{(33,1),(68,1),(69,1),(104,1),(167,1)}
        48:{1,3,4,6}:{(34,1),(57,1),(67,1),(70,1),(75,1)}
        49:{1,2,3,5,6}:{(32,1),(36,1),(58,1),(71,1),(72,1),(74,1),(106,1),(116,1),(118,1),(121,1),(158,1),(168,1),(170,1),(194,1)}
        50:{1,2,4,6}:{(32,1),(33,1),(37,1),(68,1),(72,1)}
        51:{1,2,4,5,7}:{(33,1),(38,1),(69,1),(72,1),(73,1),(115,1),(123,1),(167,1)}
        52:{1,2,5,6}:{(34,1),(60,1),(70,1),(74,1),(168,1),(194,1)}
        53:{3,5,6}:{(35,1),(61,1),(75,1),(121,1),(158,1)}
        54:{1,4,6}:{(36,1),(62,1),(75,1),(76,1)}
        55:{1,3,5}:{(37,1),(72,1),(76,1),(121,1)}
        56:{1,3,4,6}:{(38,1),(73,1),(77,1),(109,1),(158,1),(166,1),(192,1)}
        57:{1,3,4,7}:{(40,1),(48,1),(80,1),(84,1)}
        58:{1,2,3,5,7}:{(39,1),(42,1),(49,1),(81,1),(82,1),(83,1),(129,1),(132,1),(144,1),(177,1),(189,1)}
        59:{1,2,4,6,7}:{(39,1),(43,1),(50,1),(79,1),(81,1),(82,1),(87,1),(133,1),(204,1)}
        60:{1,2,5,7}:{(40,1),(44,1),(52,1),(80,1),(83,1)}
        61:{3,5,7}:{(41,1),(45,1),(53,1),(84,1)}
        62:{1,4,7}:{(42,1),(54,1),(84,1)}
        63:{1,3,5,7}:{(43,1),(55,1),(82,1),(85,1),(86,1),(88,1),(132,1)}
        64:{2,3,6,7}:{(44,1),(45,1),(83,1),(87,1),(178,1)}
        65:{3,4,6,7}:{(45,1),(46,1),(84,1),(87,1),(88,1),(136,1)}
        66:{1,4,5,7}:{(46,1),(88,1),(89,1)}
        67:{1,3,4,5}:{(48,1),(90,1),(99,1),(147,1),(182,1)}
        68:{2,3,4,6}:{(47,1),(50,1),(91,1),(92,1),(94,1),(143,1)}
        69:{2,3,5,7}:{(47,1),(51,1),(91,1),(92,1),(132,1)}
        70:{1,2,4,6}:{(48,1),(52,1),(80,1),(90,1),(93,1),(98,1)}
        71:{1,2,4,6}:{(49,1),(54,1),(81,1),(94,1),(95,1),(98,1),(143,1),(185,1)}
        72:{1,2,5}:{(50,1),(55,1),(91,1)}
        73:{1,2,4,6}:{(51,1),(56,1),(92,1),(96,1),(143,1)}
        74:{2,3,5,6}:{(52,1),(53,1),(83,1),(93,1),(98,1),(138,1),(146,1),(178,1)}
        75:{3,4,6}:{(53,1),(54,1),(84,1),(98,1),(99,1)}
        76:{1,4,5}:{(54,1),(55,1),(99,1)}
        77:{1,3,5,6}:{(55,1),(56,1),(96,1),(100,1),(101,1),(148,1),(202,1)}
        78:{1,3,4,6,7}:{(56,1),(97,1),(101,1),(137,1),(180,1),(186,1),(204,1)}
        79:{2,3,4,6,7}:{(59,1),(68,1),(102,1),(104,1),(117,1),(153,1),(158,1),(167,1),(193,1)}
        80:{1,2,4,7}:{(57,1),(60,1),(70,1),(103,1),(107,1)}
        81:{1,2,4,7}:{(58,1),(62,1),(71,1),(104,1),(107,1),(167,1),(200,1)}
        82:{1,2,5,7}:{(59,1),(63,1),(72,1),(102,1),(106,1),(111,1),(208,1)}
        83:{2,3,5,7}:{(60,1),(61,1),(64,1),(74,1),(103,1),(107,1),(111,1)}
        84:{3,4,7}:{(61,1),(62,1),(75,1),(107,1)}
        85:{1,4,5,7}:{(62,1),(63,1),(76,1),(108,1),(109,1)}
        86:{1,3,5,6}:{(63,1),(106,1),(109,1),(112,1),(158,1)}
        87:{2,4,6,7}:{(64,1),(65,1),(107,1),(111,1),(160,1)}
        88:{3,5,7}:{(65,1),(66,1),(111,1),(112,1)}
        89:{1,4,5,6}:{(66,1),(109,1),(112,1)}
        90:{1,2,4,5}:{(67,1),(70,1),(114,1),(124,1),(163,1),(168,1)}
        91:{2,3,5}:{(68,1),(72,1),(115,1),(121,1)}
        92:{2,3,6}:{(69,1),(73,1),(158,1)}
        93:{2,3,6}:{(70,1),(103,1),(114,1)}
        94:{3,4,6}:{(71,1),(104,1),(121,1),(158,1)}
        95:{1,2,4,5}:{(71,1),(72,1),(76,1),(115,1),(121,1),(124,1),(165,1),(168,1)}
        96:{1,2,5,6}:{(72,1),(73,1),(77,1),(116,1),(123,1)}
        97:{1,2,4,6,7}:{(73,1),(78,1),(117,1),(123,1),(167,1)}
        98:{2,4,6}:{(74,1),(75,1),(107,1),(124,1)}
        99:{3,4,5}:{(75,1),(76,1),(121,1),(124,1)}
       100:{1,4,5,6}:{(76,1),(77,1),(109,1),(125,1),(126,1)}
       101:{1,3,5,7}:{(77,1),(78,1),(123,1),(126,1),(171,1),(208,1)}
       102:{2,3,5,7}:{(79,1),(82,1),(91,1),(127,1),(128,1),(132,1),(203,1)}
       103:{2,3,7}:{(80,1),(93,1)}
       104:{3,4,7}:{(81,1),(94,1),(132,1)}
       105:{1,2,4,5,7}:{(81,1),(82,1),(85,1),(95,1),(127,1),(132,1),(133,1),(135,1),(174,1),(177,1)}
       106:{1,2,5,6}:{(82,1),(86,1),(128,1),(133,1),(138,1),(202,1)}
       107:{2,4,7}:{(83,1),(84,1),(98,1)}
       108:{3,4,5,7}:{(84,1),(85,1),(88,1),(99,1),(132,1),(135,1),(136,1)}
       109:{1,4,6}:{(85,1),(86,1),(136,1)}
       110:{1,3,5,6,7}:{(86,1),(101,1),(134,1),(137,1),(139,1),(180,1)}
       111:{2,5,7}:{(87,1),(88,1),(138,1)}
       112:{3,5,6}:{(88,1),(89,1),(136,1),(138,1)}
       113:{1,4,5,6,7}:{(89,1),(137,1),(139,1)}
       114:{2,3,5}:{(90,1),(93,1),(141,1)}
       115:{2,4,5}:{(91,1),(142,1),(143,1)}
       116:{2,3,5,6}:{(91,1),(92,1),(96,1),(143,1),(144,1),(148,1)}
       117:{2,3,6,7}:{(92,1),(97,1),(144,1),(180,1)}
       118:{1,2,3,6}:{(93,1),(129,1),(140,1),(145,1),(206,1)}
       119:{2,3,4,6}:{(93,1),(94,1),(98,1),(130,1),(141,1),(145,1),(146,1),(178,1)}
       120:{1,3,4,6}:{(94,1),(131,1),(145,1),(147,1),(179,1),(182,1),(185,1),(206,1)}
       121:{3,5}:{(94,1),(95,1)}
       122:{1,2,4,5,6}:{(95,1),(96,1),(100,1),(133,1),(143,1),(148,1),(149,1),(150,1),(173,1),(185,1),(187,1),(202,1)}
       123:{1,2,5,7}:{(96,1),(97,1),(101,1),(144,1)}
       124:{2,4,5}:{(98,1),(99,1),(146,1)}
       125:{3,4,5,6}:{(99,1),(100,1),(136,1),(148,1),(150,1),(151,1)}
       126:{1,4,5,7}:{(100,1),(101,1),(137,1),(151,1)}
       127:{2,4,5,7}:{(102,1),(115,1),(152,1),(153,1),(167,1)}
       128:{2,3,5,6}:{(102,1),(106,1),(153,1),(158,1),(190,1)}
       129:{1,2,3,7}:{(103,1),(118,1),(155,1),(209,1)}
       130:{2,3,4,7}:{(103,1),(104,1),(107,1),(119,1),(155,1),(156,1)}
       131:{1,3,4,7}:{(104,1),(120,1),(155,1),(157,1),(200,1),(209,1)}
       132:{3,5,7}:{(104,1),(105,1),(121,1),(158,1)}
       133:{1,2,4,6}:{(105,1),(106,1),(109,1),(153,1),(158,1),(160,1),(192,1),(194,1)}
       134:{1,2,5,6,7}:{(106,1),(110,1),(123,1),(154,1),(159,1),(162,1),(208,1)}
       135:{2,4,5,7}:{(107,1),(108,1),(111,1),(124,1),(156,1),(160,1)}
       136:{3,4,6}:{(108,1),(109,1),(112,1),(158,1),(160,1)}
       137:{1,4,6,7}:{(109,1),(110,1),(126,1),(161,1)}
       138:{2,5,6}:{(111,1),(112,1),(160,1)}
       139:{3,5,6,7}:{(112,1),(113,1),(161,1),(162,1)}
       140:{1,2,3,5}:{(114,1),(118,1),(163,1),(168,1),(197,1)}
       141:{2,3,4}:{(114,1),(163,1)}
       142:{3,4,5}:{(115,1),(121,1),(165,1),(166,1)}
       143:{2,4,6}:{(115,1),(116,1),(166,1),(167,1)}
       144:{2,3,5,7}:{(116,1),(117,1),(123,1),(167,1),(171,1)}
       145:{1,2,4,6}:{(118,1),(119,1),(120,1),(155,1),(163,1),(168,1),(194,1)}
       146:{2,3,5}:{(119,1),(121,1),(124,1),(168,1)}
       147:{1,3,5}:{(120,1),(121,1),(165,1),(168,1)}
       148:{3,5,6}:{(121,1),(122,1),(158,1),(166,1),(171,1)}
       149:{1,2,4,5,7}:{(122,1),(123,1),(126,1),(159,1),(167,1),(171,1),(172,1),(191,1),(200,1),(201,1),(208,1)}
       150:{2,4,5,6}:{(124,1),(125,1),(160,1),(169,1),(172,1)}
       151:{3,4,5,7}:{(125,1),(126,1),(161,1),(171,1),(172,1)}
       152:{3,4,5,7}:{(127,1),(132,1),(142,1),(174,1),(175,1),(186,1),(203,1)}
       153:{2,4,6}:{(127,1),(128,1),(175,1)}
       154:{2,3,5,6,7}:{(128,1),(134,1),(144,1),(176,1),(180,1),(203,1)}
       155:{1,2,4,7}:{(129,1),(130,1),(131,1),(145,1),(177,1)}
       156:{2,3,5,7}:{(130,1),(132,1),(135,1),(146,1),(177,1),(178,1)}
       157:{1,3,5,7}:{(131,1),(132,1),(147,1),(174,1),(177,1),(179,1)}
       158:{3,6}:{(132,1),(133,1)}
       159:{1,2,4,6,7}:{(133,1),(134,1),(137,1),(149,1),(176,1),(180,1),(181,1),(204,1),(205,1)}
       160:{2,4,6}:{(135,1),(136,1),(138,1),(178,1)}
       161:{3,4,6,7}:{(136,1),(137,1),(139,1),(151,1),(180,1),(181,1)}
       162:{2,5,6,7}:{(138,1),(139,1),(181,1)}
       163:{1,2,4}:{(140,1),(141,1),(182,1)}
       164:{2,3,4,5}:{(141,1),(142,1),(146,1),(183,1),(184,1)}
       165:{1,4,5}:{(142,1),(147,1),(185,1)}
       166:{3,4,6}:{(142,1),(143,1),(148,1),(185,1),(186,1)}
       167:{2,4,7}:{(143,1),(144,1),(186,1)}
       168:{1,2,5}:{(145,1),(146,1),(147,1)}
       169:{2,3,5,6}:{(146,1),(148,1),(150,1),(178,1),(184,1),(187,1),(188,1)}
       170:{1,3,5,6}:{(147,1),(148,1),(179,1),(185,1),(187,1),(189,1),(202,1),(206,1)}
       171:{3,5,7}:{(148,1),(149,1),(180,1),(186,1)}
       172:{2,4,5,7}:{(150,1),(151,1),(181,1),(188,1)}
       173:{2,4,5,6}:{(153,1),(190,1),(191,1)}
       174:{1,4,5,7}:{(152,1),(157,1),(165,1),(192,1),(200,1),(208,1)}
       175:{3,4,6}:{(152,1),(153,1),(158,1),(190,1),(192,1)}
       176:{2,4,6,7}:{(153,1),(154,1),(167,1),(191,1),(193,1)}
       177:{1,2,5,7}:{(155,1),(156,1),(157,1),(168,1),(194,1)}
       178:{2,3,6}:{(156,1),(158,1),(160,1),(194,1)}
       179:{1,3,6}:{(157,1),(158,1),(192,1),(194,1)}
       180:{3,6,7}:{(158,1),(159,1),(171,1)}
       181:{2,4,6,7}:{(160,1),(161,1),(162,1),(172,1),(195,1)}
       182:{1,3,4}:{(163,1),(197,1)}
       183:{1,2,4,5}:{(163,1),(164,1),(165,1),(168,1),(197,1),(198,1)}
       184:{2,3,4,6}:{(164,1),(166,1),(169,1),(198,1),(199,1)}
       185:{1,4,6}:{(165,1),(166,1),(170,1),(200,1)}
       186:{3,4,7}:{(166,1),(167,1),(171,1),(200,1)}
       187:{1,2,5,6}:{(168,1),(169,1),(170,1),(194,1),(198,1),(201,1)}
       188:{2,3,5,7}:{(169,1),(171,1),(172,1),(195,1),(199,1),(201,1)}
       189:{1,3,5,7}:{(170,1),(171,1),(196,1),(200,1),(201,1),(208,1),(209,1)}
       190:{3,5,6}:{(173,1),(175,1),(202,1),(203,1)}
       191:{2,4,5,7}:{(173,1),(176,1),(203,1)}
       192:{1,4,6}:{(174,1),(175,1),(179,1),(202,1)}
       193:{3,4,6,7}:{(175,1),(176,1),(180,1),(186,1),(203,1),(204,1)}
       194:{1,2,6}:{(177,1),(178,1),(179,1)}
       195:{2,3,6,7}:{(178,1),(180,1),(181,1),(188,1),(205,1)}
       196:{1,3,6,7}:{(179,1),(180,1),(189,1),(204,1),(205,1)}
       197:{1,3,5}:{(182,1),(183,1),(206,1)}
       198:{1,2,4,6}:{(183,1),(184,1),(185,1),(187,1),(206,1),(207,1)}
       199:{2,3,4,7}:{(184,1),(186,1),(188,1),(207,1)}
       200:{1,4,7}:{(185,1),(186,1),(189,1)}
       201:{1,2,5,7}:{(187,1),(188,1),(189,1),(205,1),(207,1)}
       202:{1,5,6}:{(190,1),(192,1),(208,1)}
       203:{3,5,7}:{(190,1),(191,1),(193,1),(208,1)}
       204:{1,4,6,7}:{(192,1),(193,1),(196,1),(200,1),(208,1)}
       205:{1,2,6,7}:{(194,1),(195,1),(196,1),(201,1)}
       206:{1,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,2,4,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       208:{1,5,7}:{(202,1),(203,1),(204,1)}
       209:{1,3,7}:{(206,1),(207,1)}

1419 :   0:{1,2,3,5,6}:{(2,1),(3,1),(11,1),(12,1),(15,1),(50,1),(53,1),(54,1),(55,1),(88,1)}
         1:{1,2,4,5,6}:{(4,1),(5,1),(6,1),(22,1),(23,1),(25,1),(33,1),(93,1),(94,1),(95,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(22,1),(23,1)}
         3:{1,2,3,5,7}:{(0,1),(8,1),(9,1),(26,1),(27,1),(32,1),(38,1),(70,1),(74,1)}
         4:{3,5,6}:{(1,1),(10,1),(13,1),(15,1),(53,1)}
         5:{1,2,4,5,7}:{(1,1),(13,1),(14,1),(43,1),(44,1),(46,1),(83,1),(84,1),(85,1)}
         6:{1,2,4,5}:{(2,1),(15,1),(39,1),(40,1),(50,1)}
         7:{3,4,6}:{(2,1),(15,1),(19,1),(53,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(19,1),(43,1),(44,1)}
         9:{1,2,3,6,7}:{(3,1),(20,1),(47,1),(48,1),(53,1),(88,1)}
        10:{3,4,6}:{(4,1),(21,1),(22,1),(23,1),(24,1),(62,1)}
        11:{1,3,5,6}:{(4,1),(22,1),(25,1),(26,1),(30,1),(62,1),(71,1),(93,1),(106,1)}
        12:{2,3,5,6}:{(4,1),(23,1),(25,1),(27,1),(31,1),(62,1),(72,1),(94,1),(106,1)}
        13:{3,5,7}:{(4,1),(5,1),(24,1),(28,1)}
        14:{1,2,4,6,7}:{(5,1),(28,1),(29,1),(33,1),(64,1),(65,1),(67,1),(68,1)}
        15:{3,5}:{(6,1),(7,1)}
        16:{1,2,4,5,7}:{(6,1),(8,1),(32,1),(33,1),(38,1),(59,1),(60,1),(70,1),(75,1)}
        17:{1,3,4,6}:{(7,1),(22,1),(30,1),(34,1),(35,1),(62,1),(71,1),(90,1),(105,1)}
        18:{2,3,4,6}:{(7,1),(23,1),(31,1),(34,1),(36,1),(62,1),(72,1),(90,1),(105,1)}
        19:{3,4,7}:{(7,1),(8,1),(32,1)}
        20:{1,2,4,6,7}:{(8,1),(9,1),(33,1),(37,1),(38,1),(64,1),(65,1)}
        21:{3,4,5}:{(10,1),(15,1),(39,1),(40,1),(76,1)}
        22:{1,4,6}:{(10,1),(11,1),(39,1),(43,1),(110,1)}
        23:{2,4,6}:{(10,1),(12,1),(40,1),(44,1),(110,1)}
        24:{3,4,7}:{(10,1),(13,1),(43,1),(44,1),(81,1)}
        25:{1,2,5,6}:{(11,1),(12,1),(42,1),(46,1),(50,1),(88,1)}
        26:{1,3,5,7}:{(11,1),(13,1),(43,1),(46,1),(47,1),(81,1),(83,1),(103,1)}
        27:{2,3,5,7}:{(12,1),(13,1),(44,1),(46,1),(48,1),(81,1),(84,1),(103,1)}
        28:{3,6,7}:{(13,1),(14,1),(53,1)}
        29:{1,2,5,6,7}:{(14,1),(49,1),(54,1),(83,1),(84,1)}
        30:{1,3,5}:{(15,1),(17,1),(39,1),(50,1),(76,1),(109,1)}
        31:{2,3,5}:{(15,1),(18,1),(40,1),(50,1),(76,1),(109,1)}
        32:{3,5,7}:{(15,1),(16,1),(19,1),(53,1)}
        33:{1,2,4,6}:{(16,1),(53,1),(54,1),(78,1),(79,1),(88,1),(89,1)}
        34:{1,2,4,6}:{(17,1),(18,1),(50,1),(55,1),(56,1),(86,1),(88,1)}
        35:{1,3,4,7}:{(17,1),(19,1),(43,1),(51,1),(56,1),(81,1),(100,1)}
        36:{2,3,4,7}:{(18,1),(19,1),(44,1),(52,1),(56,1),(81,1),(100,1)}
        37:{3,4,6,7}:{(19,1),(20,1),(53,1),(57,1),(89,1)}
        38:{1,2,5,7}:{(20,1),(54,1),(57,1),(83,1),(84,1)}
        39:{1,4,5}:{(21,1),(22,1),(30,1),(111,1)}
        40:{2,4,5}:{(21,1),(23,1),(31,1),(111,1)}
        41:{3,4,5,7}:{(21,1),(24,1),(32,1),(59,1),(60,1),(61,1),(66,1),(75,1),(91,1),(107,1),(111,1)}
        42:{1,2,4,6}:{(22,1),(23,1),(25,1),(58,1),(62,1),(63,1)}
        43:{1,4,7}:{(22,1),(24,1),(26,1),(107,1)}
        44:{2,4,7}:{(23,1),(24,1),(27,1),(107,1)}
        45:{3,4,6,7}:{(24,1),(28,1),(61,1),(64,1),(65,1),(66,1),(68,1),(96,1),(107,1)}
        46:{1,2,5,7}:{(25,1),(26,1),(27,1),(63,1),(67,1)}
        47:{1,3,6,7}:{(26,1),(28,1),(64,1),(67,1),(71,1),(96,1)}
        48:{2,3,6,7}:{(27,1),(28,1),(65,1),(67,1),(72,1),(96,1)}
        49:{3,5,6,7}:{(28,1),(29,1),(66,1),(68,1),(73,1)}
        50:{1,2,5}:{(30,1),(31,1),(34,1)}
        51:{1,3,5,7}:{(30,1),(32,1),(35,1),(59,1),(70,1),(71,1),(91,1)}
        52:{2,3,5,7}:{(31,1),(32,1),(36,1),(60,1),(70,1),(72,1),(91,1)}
        53:{3,6}:{(32,1),(33,1)}
        54:{1,2,5,6}:{(33,1),(38,1),(73,1),(93,1),(94,1)}
        55:{1,2,3,6}:{(34,1),(62,1),(69,1),(74,1)}
        56:{1,2,4,7}:{(34,1),(35,1),(36,1),(70,1),(74,1)}
        57:{3,5,7}:{(37,1),(38,1),(73,1),(75,1)}
        58:{1,2,4,5}:{(39,1),(40,1),(42,1),(50,1),(76,1),(86,1)}
        59:{1,4,5,7}:{(39,1),(41,1),(43,1),(51,1),(78,1),(83,1)}
        60:{2,4,5,7}:{(40,1),(41,1),(44,1),(52,1),(79,1),(84,1)}
        61:{3,4,6}:{(41,1),(53,1),(78,1),(79,1),(80,1),(89,1),(101,1),(110,1)}
        62:{3,6}:{(42,1),(76,1),(81,1)}
        63:{1,2,4,7}:{(42,1),(43,1),(44,1),(46,1),(81,1)}
        64:{1,4,6,7}:{(43,1),(45,1),(47,1),(78,1),(83,1)}
        65:{2,4,6,7}:{(44,1),(45,1),(48,1),(79,1),(84,1)}
        66:{3,5,7}:{(45,1),(80,1),(83,1),(84,1),(85,1)}
        67:{1,2,6,7}:{(46,1),(47,1),(48,1),(88,1)}
        68:{4,6,7}:{(49,1),(85,1),(89,1)}
        69:{1,2,3,5}:{(50,1),(55,1),(76,1),(86,1)}
        70:{1,2,5,7}:{(50,1),(51,1),(52,1),(56,1),(88,1)}
        71:{1,3,6}:{(51,1),(53,1),(78,1),(88,1),(101,1)}
        72:{2,3,6}:{(52,1),(53,1),(79,1),(88,1),(101,1)}
        73:{3,5,6}:{(53,1),(54,1),(57,1),(89,1)}
        74:{1,2,3,7}:{(55,1),(56,1),(81,1)}
        75:{4,5,7}:{(57,1),(89,1)}
        76:{3,5}:{(58,1),(62,1),(90,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(63,1),(70,1),(91,1),(92,1),(97,1),(98,1),(107,1),(108,1),(111,1)}
        78:{1,4,6}:{(59,1),(61,1),(71,1),(93,1)}
        79:{2,4,6}:{(60,1),(61,1),(72,1),(94,1)}
        80:{3,5,6}:{(61,1),(66,1),(93,1),(94,1),(95,1)}
        81:{3,7}:{(62,1),(63,1)}
        82:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(67,1),(92,1),(96,1),(97,1),(107,1)}
        83:{1,5,7}:{(64,1),(66,1),(93,1)}
        84:{2,5,7}:{(65,1),(66,1),(94,1)}
        85:{4,5,7}:{(66,1),(68,1),(95,1),(107,1)}
        86:{1,2,4}:{(69,1),(90,1)}
        87:{1,2,3,5,7}:{(69,1),(70,1),(74,1),(91,1),(98,1),(99,1),(108,1)}
        88:{1,2,6}:{(70,1),(71,1),(72,1)}
        89:{4,6}:{(73,1),(75,1)}
        90:{3,4}:{(76,1),(86,1)}
        91:{3,5,7}:{(76,1),(77,1),(81,1),(100,1),(101,1),(109,1)}
        92:{1,2,4,6}:{(77,1),(78,1),(79,1),(88,1),(101,1),(102,1),(110,1)}
        93:{1,5,6}:{(78,1),(80,1),(83,1)}
        94:{2,5,6}:{(79,1),(80,1),(84,1)}
        95:{4,5,6}:{(80,1),(85,1),(89,1),(110,1)}
        96:{3,6,7}:{(81,1),(82,1),(101,1),(103,1)}
        97:{1,2,5,7}:{(82,1),(83,1),(84,1),(102,1),(103,1)}
        98:{1,2,4,7}:{(86,1),(87,1),(100,1),(104,1)}
        99:{1,2,3,6}:{(87,1),(88,1),(101,1),(104,1)}
       100:{3,4,7}:{(90,1),(91,1),(98,1),(105,1),(107,1)}
       101:{3,6}:{(91,1),(92,1)}
       102:{1,2,5,6}:{(92,1),(93,1),(94,1),(97,1),(106,1),(108,1)}
       103:{3,5,7}:{(96,1),(97,1),(106,1),(107,1)}
       104:{1,2,4,6}:{(98,1),(99,1),(105,1),(108,1)}
       105:{3,4,6}:{(100,1),(101,1),(104,1),(109,1),(110,1)}
       106:{3,5,6}:{(101,1),(102,1),(103,1),(109,1),(110,1)}
       107:{4,7}:{(103,1),(110,1)}
       108:{1,2,5}:{(104,1),(109,1)}
       109:{3,5}:{(105,1),(108,1),(111,1)}
       110:{4,6}:{(106,1),(107,1),(111,1)}
       111:{4,5}:{(109,1),(110,1)}

1420 :   0:{1,2,3,4,6}:{(1,1),(2,1),(7,1),(10,1),(21,1),(52,1)}
         1:{1,2,3,5}:{(0,1),(3,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(16,1),(67,1)}
         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),(28,1),(47,1),(52,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(10,1)}
         6:{3,4,5}:{(3,1),(14,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(14,1),(16,1)}
         8:{1,2,4,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(41,1)}
         9:{1,2,3,5,7}:{(4,1),(16,1),(18,1),(33,1),(41,1),(63,1),(67,1)}
        10:{1,2,3,6}:{(5,1),(17,1)}
        11:{1,2,4,5,6}:{(7,1),(19,1),(20,1),(28,1),(42,1),(43,1),(47,1),(55,1)}
        12:{2,3,4,5}:{(6,1),(22,1),(23,1),(69,1)}
        13:{1,3,4,5}:{(6,1),(22,1),(24,1),(69,1)}
        14:{3,4,6}:{(6,1),(7,1),(19,1),(25,1)}
        15:{3,4,5,7}:{(6,1),(8,1),(25,1),(26,1),(54,1)}
        16:{1,2,4,7}:{(7,1),(9,1),(25,1)}
        17:{1,2,4,6}:{(8,1),(10,1),(26,1),(28,1)}
        18:{1,2,3,6,7}:{(9,1),(10,1),(27,1),(50,1),(79,1)}
        19:{3,5,6}:{(11,1),(14,1),(33,1)}
        20:{1,2,4,5,7}:{(11,1),(16,1),(33,1),(34,1),(41,1),(57,1),(58,1),(63,1),(68,1)}
        21:{1,2,3,4}:{(35,1)}
        22:{1,2,4,5}:{(12,1),(13,1),(35,1),(36,1)}
        23:{2,3,4,6}:{(12,1),(14,1),(31,1),(36,1),(37,1),(81,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(32,1),(36,1),(38,1),(81,1)}
        25:{3,4,7}:{(14,1),(16,1),(33,1)}
        26:{3,4,6}:{(15,1),(17,1),(40,1)}
        27:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(39,1),(41,1)}
        28:{1,2,5,6}:{(17,1),(40,1),(41,1)}
        29:{3,4,5,6}:{(19,1),(42,1),(43,1),(44,1),(55,1),(70,1),(102,1)}
        30:{1,2,3,4,6}:{(21,1),(45,1),(46,1),(52,1),(75,1),(78,1)}
        31:{2,3,5,6}:{(19,1),(23,1),(42,1),(47,1),(48,1),(70,1)}
        32:{1,3,5,6}:{(19,1),(24,1),(43,1),(47,1),(49,1),(70,1)}
        33:{3,5,7}:{(19,1),(20,1),(25,1),(50,1)}
        34:{1,2,4,6,7}:{(20,1),(50,1),(51,1),(72,1),(73,1),(79,1),(80,1)}
        35:{1,2,3,5}:{(21,1),(22,1),(52,1)}
        36:{1,2,4,6}:{(22,1),(23,1),(24,1),(47,1),(52,1),(53,1)}
        37:{2,3,4,7}:{(23,1),(25,1),(48,1),(53,1),(91,1)}
        38:{1,3,4,7}:{(24,1),(25,1),(49,1),(53,1),(91,1)}
        39:{3,4,6,7}:{(25,1),(26,1),(27,1),(50,1),(54,1),(80,1)}
        40:{3,5,6}:{(26,1),(28,1),(54,1),(55,1)}
        41:{1,2,5,7}:{(27,1),(28,1),(54,1)}
        42:{2,4,5,6}:{(29,1),(31,1),(57,1)}
        43:{1,4,5,6}:{(29,1),(32,1),(58,1)}
        44:{3,4,5,7}:{(29,1),(33,1),(57,1),(58,1),(59,1),(68,1),(83,1),(104,1)}
        45:{1,2,3,5}:{(30,1),(60,1)}
        46:{1,2,3,4,7}:{(30,1),(62,1),(67,1),(88,1)}
        47:{1,2,5,6}:{(31,1),(32,1),(36,1),(63,1)}
        48:{2,3,5,7}:{(31,1),(33,1),(37,1),(57,1),(63,1),(64,1),(83,1)}
        49:{1,3,5,7}:{(32,1),(33,1),(38,1),(58,1),(63,1),(65,1),(83,1)}
        50:{3,6,7}:{(33,1),(34,1)}
        51:{1,2,5,6,7}:{(34,1),(41,1),(66,1),(85,1),(86,1)}
        52:{1,2,3,6}:{(35,1),(36,1),(67,1)}
        53:{1,2,4,7}:{(36,1),(37,1),(38,1),(63,1),(67,1)}
        54:{3,5,7}:{(39,1),(40,1),(41,1),(68,1)}
        55:{4,5,6}:{(40,1),(68,1)}
        56:{1,2,4,5,6}:{(42,1),(43,1),(47,1),(70,1),(71,1),(75,1),(96,1),(102,1)}
        57:{2,4,5,7}:{(42,1),(44,1),(48,1),(72,1)}
        58:{1,4,5,7}:{(43,1),(44,1),(49,1),(73,1)}
        59:{3,4,6,7}:{(44,1),(50,1),(72,1),(73,1),(74,1),(80,1),(93,1),(103,1)}
        60:{1,2,4,5}:{(45,1),(69,1),(75,1)}
        61:{1,2,3,5,6}:{(45,1),(47,1),(52,1),(70,1),(75,1),(77,1),(78,1),(96,1)}
        62:{1,2,3,5,7}:{(45,1),(46,1),(76,1),(78,1)}
        63:{1,2,5,7}:{(47,1),(48,1),(49,1),(53,1),(79,1)}
        64:{2,3,6,7}:{(48,1),(50,1),(72,1),(79,1),(93,1)}
        65:{1,3,6,7}:{(49,1),(50,1),(73,1),(79,1),(93,1)}
        66:{3,5,6,7}:{(50,1),(51,1),(54,1),(80,1)}
        67:{1,2,3,7}:{(52,1),(53,1)}
        68:{4,5,7}:{(54,1),(55,1),(80,1)}
        69:{3,4,5}:{(60,1),(81,1)}
        70:{3,5,6}:{(56,1),(81,1),(83,1)}
        71:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(63,1),(83,1),(84,1),(88,1),(100,1),(104,1)}
        72:{2,4,6,7}:{(57,1),(59,1),(64,1),(85,1)}
        73:{1,4,6,7}:{(58,1),(59,1),(65,1),(86,1)}
        74:{3,5,6,7}:{(59,1),(85,1),(86,1),(87,1)}
        75:{1,2,4,6}:{(60,1),(61,1),(81,1),(88,1)}
        76:{1,2,4,5,7}:{(60,1),(62,1),(82,1),(88,1),(89,1),(100,1)}
        77:{1,2,3,5,7}:{(61,1),(63,1),(67,1),(83,1),(88,1),(90,1),(100,1)}
        78:{1,2,3,6}:{(62,1),(89,1)}
        79:{1,2,6,7}:{(63,1),(64,1),(65,1)}
        80:{4,6,7}:{(66,1),(68,1)}
        81:{3,4,6}:{(69,1),(70,1),(75,1),(91,1)}
        82:{3,4,5,7}:{(69,1),(76,1),(91,1),(92,1),(101,1)}
        83:{3,5,7}:{(70,1),(71,1),(91,1),(93,1)}
        84:{1,2,4,6,7}:{(71,1),(72,1),(73,1),(79,1),(93,1),(94,1),(103,1)}
        85:{2,5,6,7}:{(72,1),(74,1)}
        86:{1,5,6,7}:{(73,1),(74,1)}
        87:{4,5,6,7}:{(74,1),(80,1),(103,1)}
        88:{1,2,4,7}:{(75,1),(77,1),(91,1)}
        89:{1,2,4,6}:{(76,1),(78,1),(92,1),(96,1)}
        90:{1,2,3,6,7}:{(77,1),(78,1),(79,1),(93,1),(95,1)}
        91:{3,4,7}:{(81,1),(83,1),(88,1)}
        92:{3,4,6}:{(82,1),(89,1),(98,1)}
        93:{3,6,7}:{(83,1),(84,1)}
        94:{1,2,5,6,7}:{(84,1),(85,1),(86,1),(99,1),(100,1)}
        95:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(97,1),(100,1)}
        96:{1,2,5,6}:{(89,1),(98,1),(100,1)}
        97:{3,4,6,7}:{(91,1),(92,1),(93,1),(95,1),(101,1),(103,1)}
        98:{3,5,6}:{(92,1),(96,1),(101,1),(102,1)}
        99:{3,5,6,7}:{(93,1),(94,1),(101,1),(103,1)}
       100:{1,2,5,7}:{(95,1),(96,1),(101,1)}
       101:{3,5,7}:{(97,1),(98,1),(100,1),(104,1)}
       102:{4,5,6}:{(98,1),(104,1)}
       103:{4,6,7}:{(99,1),(104,1)}
       104:{4,5,7}:{(101,1),(102,1),(103,1)}

1421 :   0:{1,2,3,4,7}:{(1,1),(2,1),(21,1),(65,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1)}
         2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(15,1),(54,1),(55,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(21,1)}
         4:{1,2,3,6}:{(1,1),(7,1)}
         5:{1,2,3,5}:{(2,1),(10,1)}
         6:{3,4,5,7}:{(3,1),(11,1),(16,1),(25,1),(30,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(11,1),(13,1)}
         8:{1,2,3,6,7}:{(4,1),(12,1),(14,1),(49,1),(72,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(15,1),(29,1),(52,1),(54,1)}
        10:{1,2,4,5}:{(5,1),(15,1),(16,1)}
        11:{3,4,6}:{(6,1),(7,1),(18,1)}
        12:{1,2,4,6,7}:{(7,1),(8,1),(17,1),(19,1),(21,1)}
        13:{1,2,5,6}:{(7,1),(18,1),(19,1)}
        14:{1,2,3,5,7}:{(8,1),(9,1),(19,1),(21,1),(38,1),(63,1),(65,1)}
        15:{1,2,4,6}:{(9,1),(10,1),(21,1),(22,1)}
        16:{3,4,5}:{(10,1),(22,1)}
        17:{3,4,6,7}:{(11,1),(12,1),(25,1),(30,1),(45,1),(49,1)}
        18:{3,5,6}:{(11,1),(13,1),(25,1),(26,1)}
        19:{1,2,5,7}:{(12,1),(13,1),(25,1)}
        20:{1,2,4,5,6}:{(13,1),(15,1),(26,1),(28,1),(29,1),(47,1),(48,1),(52,1)}
        21:{1,2,4,7}:{(14,1),(15,1),(30,1)}
        22:{3,4,6}:{(15,1),(16,1),(29,1),(30,1)}
        23:{1,3,4,5}:{(16,1),(31,1),(33,1),(89,1)}
        24:{2,3,4,5}:{(16,1),(32,1),(33,1),(89,1)}
        25:{3,5,7}:{(17,1),(18,1),(19,1),(35,1)}
        26:{4,5,6}:{(18,1),(35,1)}
        27:{1,2,5,6,7}:{(19,1),(34,1),(37,1),(77,1),(78,1)}
        28:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(35,1),(37,1),(38,1),(58,1),(59,1),(63,1)}
        29:{3,5,6}:{(20,1),(22,1),(38,1)}
        30:{3,4,7}:{(21,1),(22,1),(38,1)}
        31:{1,3,4,6}:{(22,1),(23,1),(39,1),(41,1),(43,1),(81,1)}
        32:{2,3,4,6}:{(22,1),(24,1),(40,1),(42,1),(43,1),(81,1)}
        33:{1,2,4,5}:{(23,1),(24,1),(43,1),(44,1)}
        34:{3,5,6,7}:{(25,1),(27,1),(45,1),(49,1)}
        35:{4,5,7}:{(25,1),(26,1),(45,1)}
        36:{3,4,5,6}:{(26,1),(29,1),(46,1),(47,1),(48,1),(71,1),(104,1)}
        37:{1,2,4,6,7}:{(27,1),(28,1),(45,1),(49,1),(68,1),(69,1),(72,1)}
        38:{3,5,7}:{(28,1),(29,1),(30,1),(49,1)}
        39:{1,3,5,6}:{(29,1),(31,1),(47,1),(50,1),(52,1),(71,1)}
        40:{2,3,5,6}:{(29,1),(32,1),(48,1),(51,1),(52,1),(71,1)}
        41:{1,3,4,7}:{(30,1),(31,1),(50,1),(53,1),(88,1)}
        42:{2,3,4,7}:{(30,1),(32,1),(51,1),(53,1),(88,1)}
        43:{1,2,4,6}:{(31,1),(32,1),(33,1),(52,1),(53,1),(54,1)}
        44:{1,2,3,5}:{(33,1),(54,1),(55,1)}
        45:{4,6,7}:{(34,1),(35,1)}
        46:{3,4,5,7}:{(35,1),(36,1),(38,1),(57,1),(58,1),(59,1),(80,1),(102,1)}
        47:{1,4,5,6}:{(36,1),(39,1),(58,1)}
        48:{2,4,5,6}:{(36,1),(40,1),(59,1)}
        49:{3,6,7}:{(37,1),(38,1)}
        50:{1,3,5,7}:{(38,1),(39,1),(41,1),(58,1),(61,1),(63,1),(80,1)}
        51:{2,3,5,7}:{(38,1),(40,1),(42,1),(59,1),(62,1),(63,1),(80,1)}
        52:{1,2,5,6}:{(39,1),(40,1),(43,1),(63,1)}
        53:{1,2,4,7}:{(41,1),(42,1),(43,1),(63,1),(65,1)}
        54:{1,2,3,6}:{(43,1),(44,1),(65,1)}
        55:{1,2,3,4}:{(44,1)}
        56:{4,5,6,7}:{(45,1),(67,1),(98,1)}
        57:{3,4,6,7}:{(45,1),(46,1),(49,1),(67,1),(68,1),(69,1),(87,1),(98,1)}
        58:{1,4,5,7}:{(46,1),(47,1),(50,1),(68,1)}
        59:{2,4,5,7}:{(46,1),(48,1),(51,1),(69,1)}
        60:{1,2,4,5,6}:{(47,1),(48,1),(52,1),(70,1),(71,1),(74,1),(101,1),(104,1)}
        61:{1,3,6,7}:{(49,1),(50,1),(68,1),(72,1),(87,1)}
        62:{2,3,6,7}:{(49,1),(51,1),(69,1),(72,1),(87,1)}
        63:{1,2,5,7}:{(50,1),(51,1),(52,1),(53,1),(72,1)}
        64:{1,2,3,5,6}:{(52,1),(54,1),(71,1),(73,1),(74,1),(76,1),(92,1),(101,1)}
        65:{1,2,3,7}:{(53,1),(54,1)}
        66:{1,2,3,4,6}:{(54,1),(55,1),(74,1),(75,1),(76,1),(92,1)}
        67:{3,5,6,7}:{(56,1),(57,1),(77,1),(78,1)}
        68:{1,4,6,7}:{(57,1),(58,1),(61,1),(77,1)}
        69:{2,4,6,7}:{(57,1),(59,1),(62,1),(78,1)}
        70:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(63,1),(79,1),(80,1),(83,1),(96,1),(102,1)}
        71:{3,5,6}:{(60,1),(80,1),(81,1)}
        72:{1,2,6,7}:{(61,1),(62,1),(63,1)}
        73:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(80,1),(82,1),(83,1),(96,1)}
        74:{1,2,4,6}:{(64,1),(81,1),(83,1),(84,1)}
        75:{1,2,3,4,7}:{(65,1),(66,1),(83,1),(85,1)}
        76:{1,2,3,5}:{(66,1),(84,1)}
        77:{1,5,6,7}:{(67,1),(68,1)}
        78:{2,5,6,7}:{(67,1),(69,1)}
        79:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(72,1),(86,1),(87,1),(98,1)}
        80:{3,5,7}:{(70,1),(71,1),(87,1),(88,1)}
        81:{3,4,6}:{(71,1),(74,1),(88,1),(89,1)}
        82:{1,2,3,6,7}:{(72,1),(73,1),(87,1),(90,1),(92,1)}
        83:{1,2,4,7}:{(73,1),(74,1),(88,1)}
        84:{1,2,4,5}:{(74,1),(76,1),(89,1)}
        85:{1,2,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,2,5,6,7}:{(77,1),(78,1),(79,1),(93,1),(96,1)}
        87:{3,6,7}:{(79,1),(80,1)}
        88:{3,4,7}:{(80,1),(81,1),(83,1)}
        89:{3,4,5}:{(81,1),(84,1)}
        90:{1,2,4,6,7}:{(82,1),(83,1),(94,1),(96,1),(97,1)}
        91:{1,2,4,5,7}:{(83,1),(84,1),(85,1),(95,1),(96,1),(97,1)}
        92:{1,2,3,6}:{(85,1),(97,1)}
        93:{3,5,6,7}:{(86,1),(87,1),(98,1),(99,1)}
        94:{3,4,6,7}:{(87,1),(88,1),(90,1),(98,1),(99,1),(100,1)}
        95:{3,4,5,7}:{(88,1),(89,1),(91,1),(99,1),(100,1)}
        96:{1,2,5,7}:{(90,1),(99,1),(101,1)}
        97:{1,2,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{4,6,7}:{(93,1),(102,1)}
        99:{3,5,7}:{(94,1),(96,1),(102,1),(103,1)}
       100:{3,4,6}:{(95,1),(97,1),(103,1)}
       101:{1,2,5,6}:{(96,1),(97,1),(103,1)}
       102:{4,5,7}:{(98,1),(99,1),(104,1)}
       103:{3,5,6}:{(99,1),(100,1),(101,1),(104,1)}
       104:{4,5,6}:{(102,1),(103,1)}

1422 :  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:{3,4,5}:{(2,1),(7,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
        6:{1,2,3,7}:{(3,1),(9,1)}
        7:{3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,5,6}:{(5,1),(10,1),(12,1)}
        9:{1,2,4,7}:{(5,1),(6,1),(11,1),(12,1)}
       10:{3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{3,4,7}:{(7,1),(9,1),(14,1)}
       12:{1,2,5,7}:{(8,1),(9,1),(14,1),(15,1)}
       13:{4,5,6}:{(10,1),(16,1)}
       14:{3,5,7}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
       15:{1,2,6,7}:{(12,1),(17,1)}
       16:{4,5,7}:{(13,1),(14,1),(18,1)}
       17:{3,6,7}:{(14,1),(15,1),(18,1)}
       18:{4,6,7}:{(16,1),(17,1),(19,1)}
       19:{5,6,7}:{(18,1)}

1423 :   0:{1,2,3,6,7}:{(3,1),(4,1),(44,1),(80,1),(81,1),(82,1),(83,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(42,1),(44,1),(50,1),(82,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(44,1),(54,1),(81,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(27,1),(61,1),(69,1),(72,1),(94,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(28,1),(65,1),(66,1),(90,1),(91,1),(93,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(11,1),(28,1),(60,1),(67,1)}
         6:{1,3,5,7}:{(2,1),(8,1),(12,1),(13,1),(28,1),(59,1),(70,1)}
         7:{1,2,3,5,6}:{(4,1),(14,1),(15,1),(40,1),(44,1),(77,1),(78,1),(79,1),(80,1),(83,1)}
         8:{1,2,5,7}:{(3,1),(5,1),(6,1),(15,1),(79,1),(84,1),(85,1)}
         9:{1,2,4,7}:{(4,1),(14,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(15,1),(19,1),(44,1),(49,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(75,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(15,1),(22,1),(44,1),(53,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(74,1),(95,1)}
        14:{1,2,4,6}:{(7,1),(9,1),(24,1),(25,1),(87,1),(88,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(12,1),(27,1),(68,1),(71,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(11,1),(13,1),(24,1),(27,1),(28,1),(34,1),(38,1),(65,1),(89,1),(101,1)}
        17:{3,4,7}:{(9,1),(25,1),(28,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(26,1),(32,1),(62,1),(67,1),(91,1)}
        19:{2,4,6}:{(10,1),(11,1),(33,1)}
        20:{3,4,5,7}:{(11,1),(28,1),(33,1),(34,1),(56,1),(67,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(26,1),(36,1),(62,1),(70,1),(90,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(28,1),(37,1),(38,1),(56,1),(70,1),(86,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(74,1),(75,1),(79,1)}
        25:{3,4,6}:{(14,1),(17,1),(40,1),(44,1)}
        26:{1,2,5,6,7}:{(15,1),(18,1),(21,1),(43,1),(84,1),(85,1),(99,1)}
        27:{1,2,4,6}:{(15,1),(16,1),(19,1),(22,1),(44,1),(51,1),(55,1),(83,1)}
        28:{3,5,7}:{(16,1),(17,1),(40,1),(44,1),(98,1),(104,1)}
        29:{1,3,4,7}:{(17,1),(41,1),(45,1),(47,1),(95,1),(104,1)}
        30:{2,3,4,7}:{(17,1),(42,1),(46,1),(47,1),(96,1),(104,1)}
        31:{2,4,5,6}:{(19,1),(48,1),(49,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(48,1),(50,1),(96,1)}
        33:{3,4,6}:{(19,1),(20,1),(44,1),(49,1),(51,1)}
        34:{1,4,5,7}:{(20,1),(45,1),(51,1),(74,1),(84,1),(95,1)}
        35:{1,4,5,6}:{(22,1),(52,1),(53,1)}
        36:{1,4,6,7}:{(21,1),(22,1),(52,1),(54,1),(95,1)}
        37:{3,4,6}:{(22,1),(23,1),(44,1),(53,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(46,1),(55,1),(75,1),(85,1),(96,1)}
        39:{1,2,4,5,6}:{(24,1),(27,1),(31,1),(35,1),(57,1),(58,1),(68,1),(71,1),(87,1),(88,1),(92,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(29,1),(59,1),(61,1),(63,1),(87,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(30,1),(60,1),(61,1),(64,1),(88,1),(102,1),(103,1)}
        43:{1,2,4,6,7}:{(26,1),(27,1),(32,1),(36,1),(57,1),(62,1),(69,1),(72,1),(94,1),(101,1)}
        44:{3,6}:{(27,1),(28,1)}
        45:{1,3,5,7}:{(28,1),(29,1),(34,1),(59,1),(63,1),(65,1)}
        46:{2,3,5,7}:{(28,1),(30,1),(38,1),(60,1),(64,1),(65,1)}
        47:{1,2,4,7}:{(29,1),(30,1),(61,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(31,1),(32,1),(67,1)}
        49:{3,5,6}:{(31,1),(33,1),(67,1),(68,1)}
        50:{3,4,6,7}:{(32,1),(33,1),(62,1),(67,1),(69,1),(86,1)}
        51:{1,4,6}:{(33,1),(34,1),(63,1),(68,1)}
        52:{1,4,5,7}:{(35,1),(36,1),(70,1)}
        53:{3,5,6}:{(35,1),(37,1),(70,1),(71,1)}
        54:{3,4,6,7}:{(36,1),(37,1),(62,1),(70,1),(72,1),(86,1)}
        55:{2,4,6}:{(37,1),(38,1),(64,1),(71,1)}
        56:{3,4,5}:{(40,1),(73,1),(74,1),(75,1),(98,1)}
        57:{1,2,4,5,7}:{(39,1),(43,1),(48,1),(52,1),(76,1),(84,1),(85,1),(95,1),(96,1),(99,1)}
        58:{3,5,6}:{(39,1),(40,1),(44,1),(73,1),(76,1)}
        59:{1,3,5}:{(40,1),(41,1),(74,1),(79,1),(98,1)}
        60:{2,3,5}:{(40,1),(42,1),(75,1),(79,1),(98,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(47,1),(79,1),(80,1),(83,1),(100,1)}
        62:{3,6,7}:{(43,1),(44,1),(76,1),(104,1)}
        63:{1,3,6}:{(44,1),(45,1),(51,1),(83,1)}
        64:{2,3,6}:{(44,1),(46,1),(55,1),(83,1)}
        65:{1,2,5,7}:{(45,1),(46,1),(47,1),(79,1),(83,1)}
        66:{1,2,3,7}:{(47,1),(80,1),(104,1)}
        67:{3,5,7}:{(48,1),(49,1),(50,1),(84,1)}
        68:{1,5,6}:{(49,1),(51,1),(84,1)}
        69:{1,4,6,7}:{(50,1),(51,1),(81,1),(84,1),(95,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{2,5,6}:{(53,1),(55,1),(85,1)}
        72:{2,4,6,7}:{(54,1),(55,1),(82,1),(85,1),(96,1)}
        73:{3,4,6}:{(56,1),(58,1),(86,1),(87,1),(88,1),(102,1)}
        74:{1,4,5}:{(56,1),(59,1),(87,1)}
        75:{2,4,5}:{(56,1),(60,1),(88,1)}
        76:{3,5,7}:{(57,1),(58,1),(62,1),(86,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(68,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(64,1),(71,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(66,1),(93,1),(102,1)}
        81:{1,3,6,7}:{(62,1),(63,1),(69,1),(90,1),(94,1)}
        82:{2,3,6,7}:{(62,1),(64,1),(72,1),(91,1),(94,1)}
        83:{1,2,6}:{(63,1),(64,1),(65,1)}
        84:{1,5,7}:{(67,1),(68,1),(69,1)}
        85:{2,5,7}:{(70,1),(71,1),(72,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        88:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(74,1),(75,1),(79,1),(97,1),(98,1),(100,1)}
        90:{1,3,5,7}:{(76,1),(77,1),(81,1),(84,1),(95,1),(99,1),(104,1)}
        91:{2,3,5,7}:{(76,1),(78,1),(82,1),(85,1),(96,1),(99,1),(104,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(83,1),(97,1),(99,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(98,1),(100,1)}
        94:{1,2,6,7}:{(81,1),(82,1),(83,1),(99,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,4,6}:{(87,1),(88,1),(89,1),(92,1),(101,1),(102,1)}
        98:{3,5}:{(89,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(90,1),(91,1),(92,1),(94,1),(101,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1424 :   0:{1,3,4,6,7}:{(2,1),(3,1),(14,1),(39,1),(42,1),(45,1),(70,1),(73,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(40,1),(42,1),(45,1),(71,1),(74,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(26,1),(29,1),(55,1),(56,1),(84,1),(87,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(30,1),(49,1),(85,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(8,1),(10,1),(30,1),(50,1),(86,1)}
         5:{1,3,5,6}:{(3,1),(13,1),(14,1),(36,1),(42,1)}
         6:{2,3,5,6}:{(4,1),(13,1),(15,1),(37,1),(42,1)}
         7:{1,2,3,6,7}:{(2,1),(16,1),(42,1),(70,1),(71,1),(75,1),(96,1),(101,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(4,1),(13,1),(65,1),(66,1),(95,1)}
         9:{1,4,5,7}:{(3,1),(14,1),(18,1),(89,1),(92,1)}
        10:{2,4,5,7}:{(4,1),(15,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(5,1),(22,1),(23,1),(49,1),(54,1),(78,1)}
        12:{2,3,5,6,7}:{(6,1),(22,1),(24,1),(50,1),(54,1),(79,1)}
        13:{1,2,5,6}:{(5,1),(6,1),(8,1),(26,1),(52,1),(53,1)}
        14:{1,4,6}:{(5,1),(9,1),(27,1)}
        15:{2,4,6}:{(6,1),(10,1),(28,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(25,1),(29,1),(30,1),(63,1),(78,1),(79,1),(88,1),(100,1)}
        17:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(26,1),(29,1),(30,1),(31,1),(32,1),(57,1),(63,1),(97,1),(98,1)}
        18:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(49,1),(77,1),(80,1)}
        19:{3,4,5,7}:{(10,1),(28,1),(30,1),(32,1),(50,1),(77,1),(80,1)}
        20:{1,4,5,6}:{(14,1),(33,1),(36,1)}
        21:{2,4,5,6}:{(15,1),(34,1),(37,1)}
        22:{1,2,5,6,7}:{(11,1),(12,1),(13,1),(38,1),(65,1),(66,1),(91,1)}
        23:{1,4,6,7}:{(11,1),(14,1),(33,1),(39,1),(89,1)}
        24:{2,4,6,7}:{(12,1),(15,1),(34,1),(40,1),(90,1)}
        25:{1,2,3,5,6}:{(13,1),(16,1),(41,1),(42,1),(68,1),(69,1),(72,1),(75,1),(95,1),(96,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(42,1),(43,1),(44,1),(75,1)}
        27:{3,4,6}:{(14,1),(18,1),(36,1),(42,1),(43,1)}
        28:{3,4,6}:{(15,1),(19,1),(37,1),(42,1),(44,1)}
        29:{1,2,4,7}:{(16,1),(41,1),(45,1),(89,1),(90,1),(103,1)}
        30:{3,5,7}:{(17,1),(42,1),(45,1),(72,1),(101,1),(102,1)}
        31:{2,4,5,7}:{(18,1),(43,1),(47,1),(65,1),(90,1),(93,1)}
        32:{1,4,5,7}:{(19,1),(44,1),(46,1),(66,1),(89,1),(92,1)}
        33:{1,4,5,7}:{(20,1),(23,1),(49,1)}
        34:{2,4,5,7}:{(21,1),(24,1),(50,1)}
        35:{1,2,4,5,6}:{(20,1),(21,1),(26,1),(48,1),(51,1),(52,1),(53,1),(57,1),(81,1),(82,1),(83,1)}
        36:{3,5,6}:{(20,1),(27,1),(49,1),(52,1)}
        37:{3,5,6}:{(21,1),(28,1),(50,1),(53,1)}
        38:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(26,1),(48,1),(54,1),(55,1),(56,1),(84,1),(97,1)}
        39:{3,4,6,7}:{(23,1),(27,1),(49,1),(54,1),(55,1),(77,1)}
        40:{3,4,6,7}:{(24,1),(28,1),(50,1),(54,1),(56,1),(77,1)}
        41:{1,2,4,6}:{(25,1),(29,1),(57,1),(58,1),(81,1),(82,1)}
        42:{3,6}:{(26,1),(30,1)}
        43:{2,4,6}:{(27,1),(31,1),(52,1),(60,1)}
        44:{1,4,6}:{(28,1),(32,1),(53,1),(59,1)}
        45:{3,4,7}:{(29,1),(30,1),(58,1),(104,1)}
        46:{1,3,5,7}:{(30,1),(32,1),(59,1),(61,1),(63,1),(85,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(60,1),(62,1),(63,1),(86,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(38,1),(64,1),(65,1),(66,1),(89,1),(90,1),(91,1)}
        49:{3,5,7}:{(33,1),(36,1),(39,1),(65,1)}
        50:{3,5,7}:{(34,1),(37,1),(40,1),(66,1)}
        51:{3,5,6}:{(35,1),(42,1),(64,1),(67,1),(72,1)}
        52:{2,5,6}:{(36,1),(43,1),(65,1)}
        53:{1,5,6}:{(37,1),(44,1),(66,1)}
        54:{3,6,7}:{(38,1),(42,1),(64,1),(101,1)}
        55:{2,4,6,7}:{(39,1),(43,1),(65,1),(71,1),(90,1)}
        56:{1,4,6,7}:{(40,1),(44,1),(66,1),(70,1),(89,1)}
        57:{1,2,4,5}:{(41,1),(72,1),(92,1),(93,1),(95,1)}
        58:{3,4,6}:{(41,1),(42,1),(45,1),(72,1)}
        59:{1,3,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{2,3,6}:{(42,1),(43,1),(47,1),(75,1)}
        61:{1,3,4,7}:{(45,1),(46,1),(73,1),(76,1),(89,1),(101,1)}
        62:{2,3,4,7}:{(45,1),(47,1),(74,1),(76,1),(90,1),(101,1)}
        63:{1,2,5,7}:{(46,1),(47,1),(75,1),(76,1),(95,1)}
        64:{3,5,7}:{(48,1),(51,1),(54,1),(77,1)}
        65:{2,5,7}:{(49,1),(52,1),(55,1)}
        66:{1,5,7}:{(50,1),(53,1),(56,1)}
        67:{3,4,6}:{(51,1),(77,1),(80,1),(81,1),(82,1),(99,1)}
        68:{1,3,5,6}:{(51,1),(53,1),(59,1),(78,1),(81,1),(83,1),(85,1),(99,1)}
        69:{2,3,5,6}:{(51,1),(52,1),(60,1),(79,1),(82,1),(83,1),(86,1),(99,1)}
        70:{1,3,6,7}:{(54,1),(56,1),(59,1),(78,1),(84,1)}
        71:{2,3,6,7}:{(54,1),(55,1),(60,1),(79,1),(84,1)}
        72:{3,5}:{(57,1),(58,1)}
        73:{1,3,4,6}:{(58,1),(59,1),(61,1),(81,1),(85,1),(87,1),(99,1),(104,1)}
        74:{2,3,4,6}:{(58,1),(60,1),(62,1),(82,1),(86,1),(87,1),(99,1),(104,1)}
        75:{1,2,6}:{(59,1),(60,1),(63,1)}
        76:{1,2,4,7}:{(61,1),(62,1),(63,1),(87,1),(88,1)}
        77:{3,4,7}:{(64,1),(67,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(66,1),(68,1),(70,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(69,1),(71,1),(90,1),(91,1),(101,1)}
        80:{3,4,5}:{(67,1),(72,1),(92,1),(93,1),(102,1)}
        81:{1,4,6}:{(67,1),(68,1),(89,1),(92,1)}
        82:{2,4,6}:{(67,1),(69,1),(90,1),(93,1)}
        83:{1,2,5,6}:{(68,1),(69,1),(75,1),(91,1),(94,1),(95,1)}
        84:{1,2,6,7}:{(70,1),(71,1),(75,1),(91,1)}
        85:{1,3,5}:{(72,1),(73,1),(92,1),(95,1),(102,1)}
        86:{2,3,5}:{(72,1),(74,1),(93,1),(95,1),(102,1)}
        87:{1,2,4,6}:{(73,1),(74,1),(75,1),(76,1),(95,1),(96,1),(103,1)}
        88:{1,2,3,7}:{(76,1),(96,1),(101,1)}
        89:{1,4,7}:{(77,1),(78,1),(81,1)}
        90:{2,4,7}:{(77,1),(79,1),(82,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(83,1),(84,1),(97,1)}
        92:{1,4,5}:{(80,1),(81,1),(85,1)}
        93:{2,4,5}:{(80,1),(82,1),(86,1)}
        94:{1,2,4,6}:{(81,1),(82,1),(83,1),(97,1),(98,1),(99,1)}
        95:{1,2,5}:{(85,1),(86,1),(87,1)}
        96:{1,2,3,6}:{(87,1),(88,1),(99,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(94,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
        99:{3,6}:{(94,1),(101,1),(102,1)}
       100:{1,2,3,5}:{(95,1),(96,1),(102,1),(103,1)}
       101:{3,7}:{(97,1),(99,1)}
       102:{3,5}:{(98,1),(99,1),(104,1)}
       103:{1,2,4}:{(100,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1425 :  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:{3,4,5}:{(2,1),(7,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
        6:{1,2,3,7}:{(3,1),(9,1)}
        7:{3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,5,6}:{(5,1),(10,1),(12,1)}
        9:{1,2,4,7}:{(5,1),(6,1),(11,1),(12,1)}
       10:{3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{3,4,7}:{(7,1),(9,1),(14,1)}
       12:{1,2,5,7}:{(8,1),(9,1),(14,1),(15,1)}
       13:{4,5,6}:{(10,1),(16,1)}
       14:{3,5,7}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
       15:{1,2,6,7}:{(12,1),(17,1)}
       16:{4,5,7}:{(13,1),(14,1),(18,1)}
       17:{3,6,7}:{(14,1),(15,1),(18,1)}
       18:{4,6,7}:{(16,1),(17,1),(19,1)}
       19:{5,6,7}:{(18,1)}

1426 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(15,1),(19,1),(42,1),(46,1),(77,1),(78,1),(79,1),(99,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(66,1),(67,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(29,1),(30,1),(34,1),(66,1),(67,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(65,1),(90,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(12,1),(16,1),(47,1),(96,1)}
         5:{3,4,6}:{(3,1),(11,1),(13,1),(14,1),(15,1),(51,1),(81,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(16,1),(48,1),(49,1),(52,1),(79,1)}
         7:{3,5,7}:{(2,1),(3,1),(13,1),(16,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(20,1),(51,1),(53,1),(75,1),(77,1),(94,1),(96,1),(103,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(39,1),(51,1),(55,1),(73,1),(78,1),(84,1),(96,1),(99,1)}
        10:{1,3,4,6}:{(14,1),(20,1),(21,1),(22,1),(51,1),(53,1),(81,1),(97,1)}
        11:{3,4,5}:{(5,1),(25,1),(26,1),(65,1),(102,1)}
        12:{4,6,7}:{(4,1),(27,1),(101,1)}
        13:{3,4,7}:{(5,1),(7,1),(29,1),(30,1),(69,1)}
        14:{1,4,6}:{(5,1),(8,1),(25,1),(29,1),(88,1),(101,1)}
        15:{2,4,6}:{(5,1),(9,1),(26,1),(30,1),(72,1),(101,1)}
        16:{3,6,7}:{(6,1),(7,1),(90,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(29,1),(32,1),(34,1),(66,1),(69,1),(92,1)}
        18:{2,3,5,7}:{(7,1),(9,1),(30,1),(33,1),(34,1),(67,1),(69,1),(92,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(36,1),(58,1),(70,1),(86,1)}
        20:{1,3,5}:{(10,1),(25,1),(36,1),(65,1),(102,1)}
        21:{1,3,4,7}:{(10,1),(29,1),(35,1),(37,1),(69,1),(91,1)}
        22:{1,2,4,6}:{(10,1),(36,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        23:{2,3,4,6}:{(15,1),(39,1),(40,1),(41,1),(51,1),(73,1),(81,1),(97,1)}
        24:{3,4,5,7}:{(11,1),(13,1),(43,1),(44,1),(45,1),(47,1),(80,1),(98,1),(104,1)}
        25:{1,4,5}:{(11,1),(14,1),(20,1),(103,1),(104,1)}
        26:{2,4,5}:{(11,1),(15,1),(39,1),(99,1),(104,1)}
        27:{4,5,7}:{(12,1),(42,1),(47,1),(98,1),(104,1)}
        28:{3,4,6,7}:{(12,1),(13,1),(16,1),(43,1),(47,1),(48,1),(49,1),(83,1),(97,1),(98,1)}
        29:{1,4,7}:{(13,1),(14,1),(17,1),(98,1)}
        30:{2,4,7}:{(13,1),(15,1),(18,1),(98,1)}
        31:{1,2,4,6}:{(14,1),(15,1),(19,1),(46,1),(50,1),(51,1)}
        32:{1,3,6,7}:{(16,1),(17,1),(48,1),(52,1),(53,1),(83,1),(94,1)}
        33:{2,3,6,7}:{(16,1),(18,1),(49,1),(52,1),(73,1),(83,1),(84,1)}
        34:{1,2,5,7}:{(17,1),(18,1),(19,1),(50,1),(52,1)}
        35:{1,3,5,7}:{(20,1),(21,1),(44,1),(53,1),(54,1),(80,1)}
        36:{1,2,5}:{(20,1),(22,1),(55,1),(99,1)}
        37:{1,2,4,7}:{(21,1),(22,1),(54,1),(56,1),(85,1)}
        38:{2,3,6}:{(22,1),(51,1),(55,1),(56,1)}
        39:{2,3,5}:{(23,1),(26,1),(58,1),(65,1),(102,1)}
        40:{2,3,4,7}:{(23,1),(30,1),(57,1),(59,1),(69,1),(91,1)}
        41:{1,2,4,6}:{(23,1),(58,1),(59,1),(60,1),(86,1),(88,1),(100,1)}
        42:{4,5,6}:{(27,1),(61,1),(101,1)}
        43:{3,4,6}:{(24,1),(61,1),(62,1),(63,1),(90,1),(101,1)}
        44:{1,4,5,7}:{(24,1),(25,1),(29,1),(35,1),(62,1),(66,1)}
        45:{2,4,5,7}:{(24,1),(26,1),(30,1),(57,1),(63,1),(67,1)}
        46:{1,2,4,5}:{(25,1),(26,1),(31,1),(36,1),(58,1),(65,1),(72,1),(88,1)}
        47:{3,5,7}:{(27,1),(28,1),(61,1),(66,1),(67,1),(102,1)}
        48:{1,4,6,7}:{(28,1),(29,1),(32,1),(62,1),(66,1),(100,1)}
        49:{2,4,6,7}:{(28,1),(30,1),(33,1),(63,1),(67,1),(93,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(69,1)}
        51:{3,6}:{(31,1),(65,1),(69,1)}
        52:{1,2,6,7}:{(32,1),(33,1),(34,1),(70,1),(86,1)}
        53:{1,3,6}:{(35,1),(62,1),(70,1),(90,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(37,1),(70,1),(71,1)}
        55:{2,3,5}:{(36,1),(38,1),(65,1),(72,1)}
        56:{2,3,7}:{(37,1),(38,1),(69,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(45,1),(73,1),(74,1),(80,1)}
        58:{1,2,5}:{(39,1),(41,1),(75,1),(103,1)}
        59:{1,2,4,7}:{(40,1),(41,1),(74,1),(76,1),(95,1)}
        60:{1,3,6}:{(41,1),(51,1),(75,1),(76,1)}
        61:{3,5,6}:{(42,1),(43,1),(47,1),(77,1),(78,1)}
        62:{1,4,6}:{(43,1),(44,1),(53,1),(77,1)}
        63:{2,4,6}:{(43,1),(45,1),(73,1),(78,1)}
        64:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(54,1),(74,1),(79,1),(80,1),(82,1),(85,1),(95,1),(98,1),(99,1),(103,1),(104,1)}
        65:{3,5}:{(46,1),(51,1),(81,1)}
        66:{1,5,7}:{(47,1),(48,1),(77,1),(103,1)}
        67:{2,5,7}:{(47,1),(49,1),(78,1),(99,1)}
        68:{1,2,4,6,7}:{(48,1),(49,1),(50,1),(52,1),(79,1),(82,1),(83,1),(98,1)}
        69:{3,7}:{(50,1),(51,1)}
        70:{1,2,6}:{(53,1),(54,1),(84,1)}
        71:{2,3,5,7}:{(54,1),(55,1),(56,1),(80,1),(84,1),(85,1),(99,1)}
        72:{2,4}:{(55,1),(81,1)}
        73:{2,3,6}:{(57,1),(63,1),(86,1),(90,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(86,1),(87,1)}
        75:{1,3,5}:{(58,1),(60,1),(65,1),(88,1)}
        76:{1,3,7}:{(59,1),(60,1),(69,1)}
        77:{1,5,6}:{(61,1),(62,1),(66,1)}
        78:{2,5,6}:{(61,1),(63,1),(67,1)}
        79:{1,2,4,6}:{(62,1),(63,1),(64,1),(70,1),(86,1),(89,1),(90,1),(93,1),(100,1),(101,1)}
        80:{3,5,7}:{(64,1),(65,1),(69,1),(90,1),(91,1),(102,1)}
        81:{3,4}:{(65,1),(72,1),(88,1)}
        82:{1,2,5,7}:{(66,1),(67,1),(68,1),(89,1),(92,1)}
        83:{3,6,7}:{(68,1),(69,1),(90,1),(92,1)}
        84:{2,3,6}:{(70,1),(71,1),(90,1),(93,1)}
        85:{2,4,7}:{(71,1),(72,1),(91,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{1,3,5,7}:{(74,1),(75,1),(76,1),(80,1),(94,1),(95,1),(103,1)}
        88:{1,4}:{(75,1),(81,1)}
        89:{1,2,5,6}:{(77,1),(78,1),(79,1),(82,1),(96,1),(99,1),(103,1)}
        90:{3,6}:{(79,1),(80,1)}
        91:{3,4,7}:{(80,1),(81,1),(85,1),(95,1),(97,1),(98,1)}
        92:{3,5,7}:{(82,1),(83,1),(96,1),(98,1)}
        93:{2,4,6}:{(84,1),(85,1),(97,1),(99,1)}
        94:{1,3,6}:{(86,1),(87,1),(90,1),(100,1)}
        95:{1,4,7}:{(87,1),(88,1),(91,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(92,1),(101,1),(102,1)}
        97:{3,4,6}:{(90,1),(91,1),(93,1),(100,1),(101,1),(102,1)}
        98:{4,7}:{(92,1),(101,1)}
        99:{2,5}:{(93,1),(102,1)}
       100:{1,4,6}:{(94,1),(95,1),(97,1),(103,1)}
       101:{4,6}:{(96,1),(98,1),(104,1)}
       102:{3,5}:{(97,1),(99,1),(103,1),(104,1)}
       103:{1,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1427 :   0:{4,5,6,7}:{(3,1),(59,1),(226,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(6,1),(30,1),(109,1),(174,1),(211,1)}
         2:{2,3,4,5}:{(7,1),(8,1),(66,1),(71,1),(122,1)}
         3:{3,5,6,7}:{(0,1),(9,1),(10,1),(11,1),(221,1)}
         4:{3,4,5,7}:{(1,1),(9,1),(12,1),(13,1),(44,1),(82,1)}
         5:{1,4,5,6}:{(1,1),(12,1),(14,1),(187,1),(216,1)}
         6:{2,4,5,6}:{(1,1),(13,1),(15,1),(152,1),(199,1)}
         7:{2,3,4,6}:{(2,1),(15,1),(17,1),(18,1),(47,1)}
         8:{1,2,4,5}:{(2,1),(18,1),(19,1),(51,1),(89,1),(94,1)}
         9:{3,4,6,7}:{(3,1),(4,1),(22,1),(23,1),(58,1),(59,1),(211,1)}
        10:{1,5,6,7}:{(3,1),(22,1),(224,1)}
        11:{2,5,6,7}:{(3,1),(23,1),(214,1)}
        12:{1,4,5,7}:{(4,1),(5,1),(22,1),(25,1)}
        13:{2,4,5,7}:{(4,1),(6,1),(23,1),(26,1)}
        14:{1,3,5,6}:{(5,1),(21,1),(25,1),(28,1),(30,1),(162,1),(204,1)}
        15:{2,3,5,6}:{(6,1),(7,1),(26,1),(29,1),(30,1),(122,1),(178,1)}
        16:{1,2,4,5,6}:{(5,1),(6,1),(27,1),(28,1),(29,1),(30,1),(64,1),(65,1),(109,1),(115,1),(167,1),(168,1),(171,1)}
        17:{2,3,4,7}:{(7,1),(26,1),(31,1),(62,1)}
        18:{1,2,4,6}:{(7,1),(8,1),(29,1),(31,1),(32,1),(65,1)}
        19:{1,3,5}:{(8,1),(32,1),(34,1)}
        20:{1,3,4,5}:{(21,1),(35,1),(66,1),(127,1),(162,1)}
        21:{1,3,4,6}:{(14,1),(20,1),(36,1),(37,1),(47,1)}
        22:{1,4,6,7}:{(9,1),(10,1),(12,1),(38,1),(216,1)}
        23:{2,4,6,7}:{(9,1),(11,1),(13,1),(39,1),(199,1)}
        24:{1,2,5,6,7}:{(10,1),(11,1),(40,1),(41,1),(136,1),(137,1),(191,1)}
        25:{1,3,5,7}:{(12,1),(14,1),(36,1),(38,1),(42,1),(44,1)}
        26:{2,3,5,7}:{(13,1),(15,1),(17,1),(39,1),(43,1),(44,1)}
        27:{1,2,4,5,7}:{(12,1),(13,1),(16,1),(40,1),(42,1),(43,1),(44,1),(82,1),(84,1),(85,1),(136,1),(137,1)}
        28:{1,2,5,6}:{(14,1),(37,1),(42,1),(45,1),(133,1),(185,1)}
        29:{1,2,5,6}:{(15,1),(18,1),(43,1),(46,1),(94,1),(150,1)}
        30:{3,5,6}:{(16,1),(44,1),(47,1),(145,1),(195,1)}
        31:{1,2,4,7}:{(17,1),(18,1),(43,1),(48,1),(85,1)}
        32:{1,3,6}:{(18,1),(19,1),(48,1)}
        33:{1,2,3,5}:{(19,1),(49,1),(51,1),(94,1),(96,1)}
        34:{1,3,4}:{(19,1),(51,1)}
        35:{1,2,4,5}:{(20,1),(37,1),(53,1),(88,1),(99,1),(133,1)}
        36:{1,3,4,7}:{(21,1),(25,1),(54,1),(62,1)}
        37:{1,2,4,6}:{(21,1),(28,1),(35,1),(54,1),(55,1),(64,1)}
        38:{1,3,6,7}:{(22,1),(25,1),(56,1),(58,1),(204,1)}
        39:{2,3,6,7}:{(23,1),(26,1),(57,1),(58,1),(178,1)}
        40:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(27,1),(56,1),(57,1),(58,1),(59,1),(106,1),(107,1),(171,1)}
        41:{3,5,6,7}:{(24,1),(58,1),(59,1),(108,1),(209,1)}
        42:{1,2,5,7}:{(25,1),(28,1),(54,1),(56,1),(60,1)}
        43:{1,2,5,7}:{(26,1),(29,1),(31,1),(57,1),(61,1)}
        44:{3,5,7}:{(27,1),(30,1),(58,1),(62,1)}
        45:{2,3,5,6}:{(28,1),(30,1),(55,1),(60,1),(64,1),(104,1),(161,1),(167,1)}
        46:{1,3,5,6}:{(29,1),(30,1),(32,1),(61,1),(65,1),(70,1),(121,1),(168,1)}
        47:{3,4,6}:{(30,1),(62,1),(64,1),(65,1),(66,1)}
        48:{1,3,7}:{(31,1),(32,1)}
        49:{1,2,3,6}:{(32,1),(33,1),(67,1),(69,1),(125,1)}
        50:{1,3,4,6}:{(32,1),(34,1),(65,1),(68,1),(69,1),(70,1),(114,1),(121,1)}
        51:{1,2,4}:{(33,1),(34,1),(71,1)}
        52:{1,3,4,5}:{(34,1),(70,1),(72,1),(73,1),(174,1)}
        53:{2,3,5}:{(35,1),(55,1),(75,1)}
        54:{1,2,4,7}:{(36,1),(37,1),(42,1),(76,1),(84,1)}
        55:{2,3,6}:{(37,1),(53,1),(76,1)}
        56:{1,2,6,7}:{(38,1),(42,1),(79,1),(185,1)}
        57:{1,2,6,7}:{(39,1),(43,1),(80,1),(150,1)}
        58:{3,6,7}:{(40,1),(44,1),(195,1)}
        59:{4,6,7}:{(41,1),(82,1),(219,1)}
        60:{2,3,5,7}:{(42,1),(44,1),(45,1),(76,1),(79,1),(84,1),(136,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(46,1),(48,1),(80,1),(85,1),(137,1)}
        62:{3,4,7}:{(44,1),(47,1),(84,1),(85,1)}
        63:{1,2,3,5,6}:{(45,1),(46,1),(49,1),(77,1),(83,1),(87,1),(94,1),(133,1),(145,1),(150,1),(153,1),(185,1),(188,1),(191,1),(195,1)}
        64:{2,4,6}:{(45,1),(47,1),(84,1),(88,1)}
        65:{1,4,6}:{(46,1),(47,1),(85,1),(89,1)}
        66:{3,4,5}:{(47,1),(88,1),(89,1),(145,1)}
        67:{1,2,3,7}:{(48,1),(49,1),(91,1),(155,1)}
        68:{1,3,4,7}:{(48,1),(50,1),(85,1),(91,1),(92,1),(140,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(51,1),(91,1),(93,1),(94,1),(150,1)}
        70:{1,3,5}:{(50,1),(89,1),(94,1),(145,1)}
        71:{2,3,4}:{(51,1),(96,1)}
        72:{1,2,4,5}:{(51,1),(52,1),(94,1),(96,1),(97,1),(152,1)}
        73:{1,3,4,6}:{(52,1),(95,1),(97,1),(98,1),(197,1)}
        74:{1,2,3,5}:{(53,1),(77,1),(99,1),(133,1),(156,1)}
        75:{2,3,4}:{(53,1),(99,1)}
        76:{2,3,7}:{(54,1),(55,1)}
        77:{1,2,3,6}:{(55,1),(74,1),(101,1),(103,1),(182,1)}
        78:{2,3,4,6}:{(55,1),(64,1),(75,1),(102,1),(103,1),(104,1),(114,1),(161,1)}
        79:{2,3,6,7}:{(56,1),(58,1),(60,1),(106,1),(161,1)}
        80:{1,3,6,7}:{(57,1),(58,1),(61,1),(107,1),(121,1)}
        81:{3,4,6,7}:{(58,1),(59,1),(62,1),(106,1),(107,1),(108,1),(113,1)}
        82:{4,5,7}:{(59,1),(108,1),(109,1)}
        83:{1,2,3,5,7}:{(60,1),(61,1),(63,1),(67,1),(101,1),(105,1),(110,1),(120,1),(160,1),(166,1),(170,1),(181,1),(207,1)}
        84:{2,4,7}:{(60,1),(62,1),(64,1)}
        85:{1,4,7}:{(61,1),(62,1),(65,1)}
        86:{3,4,5,7}:{(62,1),(66,1),(108,1),(111,1),(112,1),(113,1),(170,1),(208,1)}
        87:{1,2,4,6}:{(63,1),(64,1),(65,1),(110,1),(114,1),(115,1),(180,1),(206,1)}
        88:{2,4,5}:{(64,1),(66,1),(104,1)}
        89:{1,4,5}:{(65,1),(66,1),(70,1)}
        90:{3,4,5,6}:{(66,1),(113,1),(116,1),(117,1),(118,1),(175,1),(226,1)}
        91:{1,2,4,7}:{(67,1),(68,1),(69,1),(119,1),(120,1)}
        92:{1,3,5,7}:{(68,1),(70,1),(112,1),(120,1),(121,1),(170,1)}
        93:{2,3,4,6}:{(69,1),(71,1),(114,1),(119,1),(122,1),(125,1),(178,1),(180,1)}
        94:{1,2,5}:{(69,1),(70,1),(122,1)}
        95:{1,3,5,6}:{(70,1),(73,1),(117,1),(121,1),(123,1),(124,1),(175,1)}
        96:{2,3,5}:{(71,1),(72,1),(125,1)}
        97:{1,2,4,6}:{(72,1),(73,1),(123,1),(125,1),(126,1),(180,1)}
        98:{1,3,4,7}:{(73,1),(124,1),(126,1),(213,1)}
        99:{1,2,4}:{(74,1),(75,1),(127,1)}
       100:{2,3,4,5}:{(75,1),(104,1),(128,1),(129,1),(174,1)}
       101:{1,2,3,7}:{(76,1),(77,1),(130,1),(202,1)}
       102:{2,3,4,7}:{(76,1),(78,1),(84,1),(130,1),(131,1),(140,1)}
       103:{1,2,4,6}:{(77,1),(78,1),(99,1),(130,1),(132,1),(133,1),(185,1)}
       104:{2,3,5}:{(78,1),(88,1),(133,1),(145,1)}
       105:{1,2,3,6,7}:{(79,1),(80,1),(83,1),(135,1),(150,1),(185,1),(195,1),(200,1),(217,1)}
       106:{2,4,6,7}:{(79,1),(81,1),(84,1),(136,1),(142,1)}
       107:{1,4,6,7}:{(80,1),(81,1),(85,1),(137,1),(143,1)}
       108:{3,5,7}:{(81,1),(82,1),(136,1),(137,1),(138,1)}
       109:{4,5,6}:{(82,1),(138,1),(219,1)}
       110:{1,2,4,7}:{(83,1),(84,1),(85,1),(87,1),(140,1),(201,1),(218,1)}
       111:{2,4,5,7}:{(84,1),(86,1),(88,1),(131,1),(136,1),(142,1)}
       112:{1,4,5,7}:{(85,1),(86,1),(89,1),(92,1),(137,1),(143,1)}
       113:{3,4,6}:{(86,1),(138,1),(142,1),(143,1),(195,1),(219,1)}
       114:{3,4,6}:{(87,1),(140,1),(145,1),(195,1)}
       115:{1,2,4,5}:{(87,1),(88,1),(89,1),(94,1),(133,1),(145,1),(152,1),(187,1)}
       116:{2,4,5,6}:{(88,1),(90,1),(134,1),(142,1),(147,1)}
       117:{1,4,5,6}:{(89,1),(90,1),(95,1),(143,1),(148,1)}
       118:{3,4,5,7}:{(90,1),(144,1),(147,1),(148,1),(198,1),(230,1)}
       119:{2,3,4,7}:{(91,1),(93,1),(140,1),(149,1),(155,1),(201,1)}
       120:{1,2,5,7}:{(91,1),(92,1),(94,1),(149,1),(150,1)}
       121:{1,3,6}:{(92,1),(143,1),(150,1),(195,1)}
       122:{2,3,5}:{(93,1),(94,1),(145,1),(152,1)}
       123:{1,2,5,6}:{(94,1),(95,1),(97,1),(150,1),(153,1),(154,1)}
       124:{1,3,5,7}:{(95,1),(98,1),(148,1),(151,1),(154,1),(198,1)}
       125:{2,3,6}:{(96,1),(97,1),(155,1)}
       126:{1,2,4,7}:{(97,1),(98,1),(154,1),(155,1),(201,1)}
       127:{1,3,4}:{(99,1),(156,1)}
       128:{1,2,4,5}:{(99,1),(100,1),(133,1),(156,1),(157,1),(187,1)}
       129:{2,3,4,6}:{(100,1),(134,1),(157,1),(158,1),(197,1)}
       130:{1,2,4,7}:{(101,1),(102,1),(103,1),(159,1),(160,1)}
       131:{2,3,5,7}:{(102,1),(104,1),(111,1),(160,1),(161,1),(170,1)}
       132:{1,3,4,6}:{(103,1),(114,1),(127,1),(159,1),(162,1),(182,1),(204,1),(206,1)}
       133:{1,2,5}:{(103,1),(104,1),(162,1)}
       134:{2,3,5,6}:{(104,1),(116,1),(129,1),(161,1),(163,1),(164,1),(175,1)}
       135:{1,2,4,6,7}:{(105,1),(106,1),(107,1),(110,1),(165,1),(166,1),(171,1),(215,1),(225,1)}
       136:{2,5,7}:{(106,1),(108,1),(167,1)}
       137:{1,5,7}:{(107,1),(108,1),(168,1)}
       138:{3,5,6}:{(108,1),(109,1),(113,1),(167,1),(168,1)}
       139:{4,5,6,7}:{(109,1),(169,1),(227,1)}
       140:{3,4,7}:{(110,1),(114,1),(170,1)}
       141:{1,2,4,5,7}:{(110,1),(111,1),(112,1),(115,1),(120,1),(160,1),(166,1),(170,1),(171,1),(177,1),(203,1),(208,1)}
       142:{2,4,6}:{(111,1),(113,1),(161,1),(167,1)}
       143:{1,4,6}:{(112,1),(113,1),(121,1),(168,1)}
       144:{3,4,6,7}:{(113,1),(118,1),(169,1),(172,1),(173,1),(212,1),(227,1)}
       145:{3,5}:{(114,1),(115,1)}
       146:{1,2,4,5,6}:{(115,1),(116,1),(117,1),(123,1),(163,1),(171,1),(175,1),(176,1),(180,1),(206,1),(214,1),(224,1),(226,1)}
       147:{2,4,5,7}:{(116,1),(118,1),(164,1),(172,1)}
       148:{1,4,5,7}:{(117,1),(118,1),(124,1),(173,1)}
       149:{2,3,5,7}:{(119,1),(120,1),(122,1),(170,1),(177,1),(178,1)}
       150:{1,2,6}:{(120,1),(121,1),(178,1)}
       151:{1,3,6,7}:{(121,1),(124,1),(173,1),(179,1),(212,1)}
       152:{2,4,5}:{(122,1),(174,1),(180,1)}
       153:{2,3,5,6}:{(122,1),(123,1),(125,1),(175,1),(178,1),(180,1),(181,1),(214,1)}
       154:{1,2,5,7}:{(123,1),(124,1),(126,1),(179,1),(181,1)}
       155:{2,3,7}:{(125,1),(126,1)}
       156:{1,3,5}:{(127,1),(128,1),(182,1)}
       157:{1,2,4,6}:{(128,1),(129,1),(163,1),(182,1),(183,1),(206,1)}
       158:{2,3,4,7}:{(129,1),(164,1),(183,1),(213,1)}
       159:{1,3,4,7}:{(130,1),(132,1),(140,1),(184,1),(202,1),(218,1)}
       160:{1,2,5,7}:{(130,1),(131,1),(133,1),(184,1),(185,1)}
       161:{2,3,6}:{(131,1),(142,1),(185,1),(195,1)}
       162:{1,3,5}:{(132,1),(133,1),(145,1),(187,1)}
       163:{1,2,5,6}:{(133,1),(134,1),(157,1),(185,1),(188,1),(189,1)}
       164:{2,3,5,7}:{(134,1),(147,1),(158,1),(186,1),(189,1),(198,1)}
       165:{3,4,6,7}:{(135,1),(140,1),(190,1),(195,1),(219,1)}
       166:{1,2,5,7}:{(135,1),(136,1),(137,1),(190,1),(191,1),(223,1),(229,1)}
       167:{2,5,6}:{(136,1),(138,1),(142,1)}
       168:{1,5,6}:{(137,1),(138,1),(143,1)}
       169:{3,5,6,7}:{(138,1),(139,1),(144,1),(192,1),(193,1)}
       170:{3,5,7}:{(140,1),(141,1),(145,1),(195,1)}
       171:{1,2,4,6}:{(141,1),(142,1),(143,1),(150,1),(185,1),(191,1),(195,1),(199,1),(216,1),(219,1)}
       172:{2,4,6,7}:{(142,1),(144,1),(147,1),(186,1),(192,1)}
       173:{1,4,6,7}:{(143,1),(144,1),(148,1),(151,1),(193,1)}
       174:{3,4,5}:{(145,1),(152,1),(187,1),(197,1)}
       175:{3,5,6}:{(145,1),(146,1),(195,1),(197,1),(198,1)}
       176:{1,2,4,5,7}:{(146,1),(147,1),(148,1),(154,1),(189,1),(196,1),(198,1),(201,1),(218,1),(223,1),(229,1),(230,1)}
       177:{2,4,5,7}:{(149,1),(152,1),(194,1),(199,1),(201,1),(223,1)}
       178:{2,3,6}:{(149,1),(150,1),(195,1),(199,1)}
       179:{1,2,6,7}:{(150,1),(151,1),(154,1),(200,1)}
       180:{2,4,6}:{(152,1),(153,1),(197,1),(201,1)}
       181:{2,3,5,7}:{(153,1),(154,1),(155,1),(198,1),(200,1),(201,1),(223,1)}
       182:{1,3,6}:{(156,1),(157,1),(202,1)}
       183:{1,2,4,7}:{(157,1),(158,1),(189,1),(202,1),(218,1)}
       184:{1,3,5,7}:{(159,1),(160,1),(162,1),(170,1),(203,1),(204,1)}
       185:{1,2,6}:{(160,1),(161,1),(204,1)}
       186:{2,3,6,7}:{(161,1),(164,1),(172,1),(205,1),(212,1)}
       187:{1,4,5}:{(162,1),(174,1),(206,1)}
       188:{1,3,5,6}:{(162,1),(163,1),(175,1),(182,1),(204,1),(206,1),(207,1),(224,1)}
       189:{1,2,5,7}:{(163,1),(164,1),(183,1),(205,1),(207,1)}
       190:{3,5,7}:{(165,1),(166,1),(208,1),(209,1)}
       191:{1,2,5,6}:{(166,1),(167,1),(168,1),(171,1),(209,1),(214,1),(224,1)}
       192:{2,5,6,7}:{(167,1),(169,1),(172,1)}
       193:{1,5,6,7}:{(168,1),(169,1),(173,1)}
       194:{3,4,5,7}:{(170,1),(174,1),(177,1),(203,1),(208,1),(211,1),(213,1),(228,1)}
       195:{3,6}:{(170,1),(171,1)}
       196:{1,2,4,6,7}:{(171,1),(172,1),(173,1),(176,1),(179,1),(205,1),(210,1),(212,1),(215,1),(225,1),(227,1)}
       197:{3,4,6}:{(174,1),(175,1),(180,1),(206,1),(213,1)}
       198:{3,5,7}:{(175,1),(176,1),(212,1),(213,1)}
       199:{2,4,6}:{(177,1),(178,1),(211,1),(214,1)}
       200:{2,3,6,7}:{(178,1),(179,1),(181,1),(212,1),(215,1)}
       201:{2,4,7}:{(180,1),(181,1),(213,1)}
       202:{1,3,7}:{(182,1),(183,1)}
       203:{1,4,5,7}:{(184,1),(187,1),(194,1),(216,1),(218,1),(229,1)}
       204:{1,3,6}:{(184,1),(185,1),(195,1),(216,1)}
       205:{1,2,6,7}:{(185,1),(186,1),(189,1),(217,1)}
       206:{1,4,6}:{(187,1),(188,1),(197,1),(218,1)}
       207:{1,3,5,7}:{(188,1),(189,1),(198,1),(202,1),(217,1),(218,1),(229,1)}
       208:{4,5,7}:{(190,1),(219,1)}
       209:{3,5,6}:{(190,1),(191,1),(195,1),(219,1)}
       210:{1,2,5,6,7}:{(191,1),(192,1),(193,1),(196,1),(220,1),(223,1),(229,1)}
       211:{3,4,6}:{(194,1),(195,1),(199,1),(216,1),(219,1),(221,1)}
       212:{3,6,7}:{(195,1),(196,1),(198,1)}
       213:{3,4,7}:{(197,1),(198,1),(201,1),(218,1)}
       214:{2,5,6}:{(199,1),(221,1),(223,1)}
       215:{2,4,6,7}:{(199,1),(200,1),(201,1),(222,1),(223,1)}
       216:{1,4,6}:{(203,1),(204,1),(211,1),(224,1)}
       217:{1,3,6,7}:{(204,1),(205,1),(207,1),(212,1),(225,1)}
       218:{1,4,7}:{(206,1),(207,1),(213,1)}
       219:{4,6}:{(208,1),(209,1)}
       220:{3,5,6,7}:{(209,1),(210,1),(212,1),(227,1),(228,1)}
       221:{3,5,6}:{(211,1),(214,1),(224,1),(226,1),(228,1)}
       222:{3,4,6,7}:{(211,1),(212,1),(213,1),(215,1),(225,1),(227,1),(228,1)}
       223:{2,5,7}:{(214,1),(215,1),(228,1)}
       224:{1,5,6}:{(216,1),(221,1),(229,1)}
       225:{1,4,6,7}:{(216,1),(217,1),(218,1),(222,1),(229,1)}
       226:{4,5,6}:{(219,1),(221,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{3,5,7}:{(221,1),(222,1),(223,1),(229,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(228,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

1428 :   0:{2,3,4,5,7}:{(1,1),(2,1),(11,1),(41,1),(81,1),(85,1),(93,1),(124,1),(129,1),(132,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(69,1),(151,1),(156,1),(158,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(24,1),(27,1),(59,1),(66,1),(70,1)}
         3:{2,4,5,6,7}:{(9,1),(34,1),(172,1)}
         4:{2,3,4,6,7}:{(1,1),(11,1),(12,1),(34,1),(74,1),(81,1),(121,1)}
         5:{3,4,5,6}:{(10,1),(14,1),(15,1),(47,1),(137,1),(174,1)}
         6:{2,3,5,6}:{(1,1),(11,1),(15,1),(16,1),(47,1),(85,1),(170,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(48,1)}
         8:{1,3,5,7}:{(2,1),(17,1),(18,1),(49,1),(129,1)}
         9:{3,5,6,7}:{(3,1),(19,1),(20,1),(190,1)}
        10:{3,4,5,7}:{(5,1),(19,1),(22,1),(23,1),(58,1)}
        11:{2,3,5,7}:{(4,1),(6,1),(23,1),(24,1),(58,1),(147,1)}
        12:{1,2,4,6,7}:{(4,1),(7,1),(24,1),(25,1),(59,1)}
        13:{1,2,3,5,7}:{(8,1),(26,1),(27,1),(63,1),(66,1)}
        14:{1,4,5,6}:{(5,1),(22,1),(28,1),(162,1),(192,1)}
        15:{2,4,5,6}:{(5,1),(6,1),(23,1),(109,1),(151,1)}
        16:{1,2,5,6}:{(6,1),(7,1),(24,1),(30,1),(66,1)}
        17:{1,3,6}:{(7,1),(8,1),(156,1)}
        18:{1,3,4,7}:{(8,1),(27,1),(31,1),(59,1),(101,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(33,1),(34,1),(74,1),(174,1)}
        20:{1,5,6,7}:{(9,1),(33,1),(202,1)}
        21:{2,3,5,6,7}:{(9,1),(11,1),(34,1),(35,1),(74,1),(125,1)}
        22:{1,4,5,7}:{(10,1),(14,1),(33,1),(37,1)}
        23:{2,4,5,7}:{(10,1),(11,1),(15,1),(34,1)}
        24:{1,2,5,7}:{(11,1),(12,1),(16,1),(39,1)}
        25:{1,3,6,7}:{(12,1),(17,1),(39,1),(74,1)}
        26:{1,2,3,6}:{(13,1),(17,1),(44,1),(86,1)}
        27:{1,2,4,7}:{(13,1),(18,1),(41,1),(44,1)}
        28:{1,3,5,6}:{(14,1),(37,1),(42,1),(46,1),(47,1),(142,1),(178,1)}
        29:{1,2,4,5,6}:{(14,1),(15,1),(16,1),(38,1),(46,1),(47,1),(48,1),(89,1),(92,1),(123,1),(130,1),(170,1)}
        30:{1,3,5,6}:{(16,1),(17,1),(39,1),(47,1),(48,1),(49,1)}
        31:{1,3,4,6}:{(17,1),(18,1),(44,1),(48,1),(49,1),(88,1)}
        32:{1,3,4,5,7}:{(18,1),(45,1),(49,1),(50,1),(82,1),(95,1),(129,1),(137,1),(173,1),(185,1)}
        33:{1,4,6,7}:{(19,1),(20,1),(22,1),(51,1),(192,1)}
        34:{2,4,6,7}:{(19,1),(21,1),(23,1),(151,1)}
        35:{1,2,5,6,7}:{(20,1),(21,1),(24,1),(52,1),(53,1),(103,1),(147,1)}
        36:{1,2,3,6,7}:{(25,1),(26,1),(55,1),(56,1),(96,1),(111,1),(156,1),(194,1),(196,1)}
        37:{1,3,5,7}:{(22,1),(28,1),(51,1),(54,1),(57,1),(58,1)}
        38:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(29,1),(52,1),(57,1),(58,1),(59,1),(98,1),(104,1),(147,1)}
        39:{1,3,5,7}:{(24,1),(25,1),(30,1),(58,1),(59,1)}
        40:{1,3,4,6,7}:{(25,1),(31,1),(56,1),(59,1),(60,1),(97,1),(101,1),(106,1),(156,1)}
        41:{2,3,4,7}:{(27,1),(62,1),(63,1),(101,1),(164,1)}
        42:{1,3,4,6}:{(28,1),(54,1),(61,1),(64,1),(69,1)}
        43:{1,2,3,5,6}:{(26,1),(30,1),(55,1),(65,1),(66,1),(68,1),(103,1),(110,1),(112,1),(115,1),(156,1),(165,1),(167,1),(194,1)}
        44:{1,2,4,6}:{(26,1),(27,1),(31,1),(62,1),(66,1)}
        45:{1,2,4,5,7}:{(27,1),(32,1),(63,1),(66,1),(67,1),(109,1),(117,1),(164,1)}
        46:{1,2,5,6}:{(28,1),(57,1),(64,1),(68,1),(165,1),(194,1)}
        47:{3,5,6}:{(29,1),(58,1),(69,1),(115,1),(156,1)}
        48:{1,4,6}:{(30,1),(59,1),(69,1),(70,1)}
        49:{1,3,5}:{(31,1),(66,1),(70,1),(115,1)}
        50:{1,3,4,6}:{(32,1),(67,1),(71,1),(106,1),(156,1),(163,1),(192,1)}
        51:{1,3,6,7}:{(33,1),(37,1),(73,1),(74,1),(178,1)}
        52:{1,2,4,6,7}:{(33,1),(34,1),(35,1),(38,1),(73,1),(74,1),(75,1),(121,1),(130,1)}
        53:{1,3,5,6,7}:{(35,1),(39,1),(74,1),(75,1),(83,1),(122,1)}
        54:{1,3,4,7}:{(37,1),(42,1),(77,1),(81,1)}
        55:{1,2,3,5,7}:{(36,1),(39,1),(43,1),(78,1),(79,1),(80,1),(126,1),(129,1),(139,1),(176,1),(188,1)}
        56:{1,2,4,6,7}:{(36,1),(40,1),(44,1),(76,1),(78,1),(79,1),(121,1),(130,1),(204,1)}
        57:{1,2,5,7}:{(37,1),(46,1),(73,1),(77,1),(80,1)}
        58:{3,5,7}:{(38,1),(47,1),(74,1),(81,1)}
        59:{1,4,7}:{(39,1),(48,1),(81,1)}
        60:{1,3,5,7}:{(40,1),(49,1),(79,1),(82,1),(83,1),(122,1),(129,1)}
        61:{1,3,4,5}:{(42,1),(84,1),(93,1),(142,1),(181,1)}
        62:{2,3,4,6}:{(41,1),(44,1),(85,1),(86,1),(88,1),(138,1)}
        63:{2,3,5,7}:{(41,1),(45,1),(85,1),(86,1),(129,1)}
        64:{1,2,4,6}:{(42,1),(46,1),(77,1),(84,1),(87,1),(92,1)}
        65:{1,2,4,6}:{(43,1),(48,1),(78,1),(88,1),(89,1),(92,1),(138,1),(184,1)}
        66:{1,2,5}:{(44,1),(49,1),(85,1)}
        67:{1,2,4,6}:{(45,1),(50,1),(86,1),(90,1),(138,1)}
        68:{2,3,5,6}:{(46,1),(47,1),(80,1),(87,1),(92,1),(141,1),(170,1),(177,1)}
        69:{3,4,6}:{(47,1),(48,1),(81,1),(92,1),(93,1)}
        70:{1,4,5}:{(48,1),(49,1),(93,1)}
        71:{1,3,5,6}:{(49,1),(50,1),(90,1),(94,1),(95,1),(143,1),(202,1)}
        72:{1,3,4,6,7}:{(50,1),(91,1),(95,1),(134,1),(179,1),(185,1),(204,1)}
        73:{1,2,6,7}:{(51,1),(57,1),(96,1),(194,1)}
        74:{3,6,7}:{(52,1),(58,1),(156,1)}
        75:{1,4,6,7}:{(53,1),(59,1),(97,1),(98,1),(106,1)}
        76:{2,3,4,6,7}:{(56,1),(62,1),(99,1),(101,1),(111,1),(151,1),(156,1),(164,1),(193,1)}
        77:{1,2,4,7}:{(54,1),(57,1),(64,1),(100,1),(104,1)}
        78:{1,2,4,7}:{(55,1),(59,1),(65,1),(101,1),(104,1),(164,1),(200,1)}
        79:{1,2,5,7}:{(56,1),(60,1),(66,1),(99,1),(103,1),(147,1),(208,1)}
        80:{2,3,5,7}:{(57,1),(58,1),(68,1),(96,1),(100,1),(104,1),(147,1)}
        81:{3,4,7}:{(58,1),(59,1),(69,1),(104,1)}
        82:{1,4,5,7}:{(59,1),(60,1),(70,1),(105,1),(106,1)}
        83:{1,3,5,6}:{(60,1),(103,1),(106,1),(148,1),(156,1)}
        84:{1,2,4,5}:{(61,1),(64,1),(108,1),(118,1),(160,1),(165,1)}
        85:{2,3,5}:{(62,1),(66,1),(109,1),(115,1)}
        86:{2,3,6}:{(63,1),(67,1),(156,1)}
        87:{2,3,6}:{(64,1),(100,1),(108,1)}
        88:{3,4,6}:{(65,1),(101,1),(115,1),(156,1)}
        89:{1,2,4,5}:{(65,1),(66,1),(70,1),(109,1),(115,1),(118,1),(162,1),(165,1)}
        90:{1,2,5,6}:{(66,1),(67,1),(71,1),(110,1),(117,1)}
        91:{1,2,4,6,7}:{(67,1),(72,1),(111,1),(117,1),(164,1)}
        92:{2,4,6}:{(68,1),(69,1),(104,1),(118,1)}
        93:{3,4,5}:{(69,1),(70,1),(115,1),(118,1)}
        94:{1,4,5,6}:{(70,1),(71,1),(106,1),(119,1),(120,1)}
        95:{1,3,5,7}:{(71,1),(72,1),(117,1),(120,1),(168,1),(208,1)}
        96:{2,3,6,7}:{(73,1),(74,1),(80,1),(121,1),(177,1)}
        97:{3,4,6,7}:{(74,1),(75,1),(81,1),(121,1),(122,1),(133,1)}
        98:{1,4,5,7}:{(75,1),(122,1),(123,1)}
        99:{2,3,5,7}:{(76,1),(79,1),(85,1),(124,1),(125,1),(129,1),(203,1)}
       100:{2,3,7}:{(77,1),(87,1)}
       101:{3,4,7}:{(78,1),(88,1),(129,1)}
       102:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(89,1),(124,1),(129,1),(130,1),(132,1),(173,1),(176,1)}
       103:{1,2,5,6}:{(79,1),(83,1),(125,1),(130,1),(170,1),(202,1)}
       104:{2,4,7}:{(80,1),(81,1),(92,1)}
       105:{3,4,5,7}:{(81,1),(82,1),(93,1),(122,1),(129,1),(132,1),(133,1)}
       106:{1,4,6}:{(82,1),(83,1),(133,1)}
       107:{1,3,5,6,7}:{(83,1),(95,1),(131,1),(134,1),(171,1),(179,1)}
       108:{2,3,5}:{(84,1),(87,1),(136,1)}
       109:{2,4,5}:{(85,1),(137,1),(138,1)}
       110:{2,3,5,6}:{(85,1),(86,1),(90,1),(138,1),(139,1),(143,1)}
       111:{2,3,6,7}:{(86,1),(91,1),(139,1),(179,1)}
       112:{1,2,3,6}:{(87,1),(126,1),(135,1),(140,1),(206,1)}
       113:{2,3,4,6}:{(87,1),(88,1),(92,1),(127,1),(136,1),(140,1),(141,1),(177,1)}
       114:{1,3,4,6}:{(88,1),(128,1),(140,1),(142,1),(178,1),(181,1),(184,1),(206,1)}
       115:{3,5}:{(88,1),(89,1)}
       116:{1,2,4,5,6}:{(89,1),(90,1),(94,1),(130,1),(138,1),(143,1),(144,1),(145,1),(172,1),(184,1),(186,1),(202,1)}
       117:{1,2,5,7}:{(90,1),(91,1),(95,1),(139,1)}
       118:{2,4,5}:{(92,1),(93,1),(141,1)}
       119:{3,4,5,6}:{(93,1),(94,1),(133,1),(143,1),(145,1),(146,1)}
       120:{1,4,5,7}:{(94,1),(95,1),(134,1),(146,1)}
       121:{2,4,6,7}:{(96,1),(97,1),(104,1),(147,1),(158,1)}
       122:{3,5,7}:{(97,1),(98,1),(147,1),(148,1)}
       123:{1,4,5,6}:{(98,1),(106,1),(148,1)}
       124:{2,4,5,7}:{(99,1),(109,1),(150,1),(151,1),(164,1)}
       125:{2,3,5,6}:{(99,1),(103,1),(151,1),(156,1),(190,1)}
       126:{1,2,3,7}:{(100,1),(112,1),(153,1),(209,1)}
       127:{2,3,4,7}:{(100,1),(101,1),(104,1),(113,1),(153,1),(154,1)}
       128:{1,3,4,7}:{(101,1),(114,1),(153,1),(155,1),(200,1),(209,1)}
       129:{3,5,7}:{(101,1),(102,1),(115,1),(156,1)}
       130:{1,2,4,6}:{(102,1),(103,1),(106,1),(151,1),(156,1),(158,1),(192,1),(194,1)}
       131:{1,2,5,6,7}:{(103,1),(107,1),(117,1),(152,1),(157,1),(189,1),(208,1)}
       132:{2,4,5,7}:{(104,1),(105,1),(118,1),(147,1),(154,1),(158,1)}
       133:{3,4,6}:{(105,1),(106,1),(148,1),(156,1),(158,1)}
       134:{1,4,6,7}:{(106,1),(107,1),(120,1),(159,1)}
       135:{1,2,3,5}:{(108,1),(112,1),(160,1),(165,1),(197,1)}
       136:{2,3,4}:{(108,1),(160,1)}
       137:{3,4,5}:{(109,1),(115,1),(162,1),(163,1)}
       138:{2,4,6}:{(109,1),(110,1),(163,1),(164,1)}
       139:{2,3,5,7}:{(110,1),(111,1),(117,1),(164,1),(168,1)}
       140:{1,2,4,6}:{(112,1),(113,1),(114,1),(153,1),(160,1),(165,1),(194,1)}
       141:{2,3,5}:{(113,1),(115,1),(118,1),(165,1)}
       142:{1,3,5}:{(114,1),(115,1),(162,1),(165,1)}
       143:{3,5,6}:{(115,1),(116,1),(156,1),(163,1),(168,1)}
       144:{1,2,4,5,7}:{(116,1),(117,1),(120,1),(157,1),(164,1),(168,1),(169,1),(191,1),(200,1),(201,1),(208,1)}
       145:{2,4,5,6}:{(118,1),(119,1),(158,1),(166,1),(169,1)}
       146:{3,4,5,7}:{(119,1),(120,1),(159,1),(168,1),(169,1)}
       147:{2,5,7}:{(121,1),(122,1),(170,1)}
       148:{3,5,6}:{(122,1),(123,1),(133,1),(170,1)}
       149:{1,4,5,6,7}:{(123,1),(134,1),(171,1)}
       150:{3,4,5,7}:{(124,1),(129,1),(137,1),(173,1),(174,1),(185,1),(203,1)}
       151:{2,4,6}:{(124,1),(125,1),(174,1)}
       152:{2,3,5,6,7}:{(125,1),(131,1),(139,1),(175,1),(179,1),(203,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(128,1),(140,1),(176,1)}
       154:{2,3,5,7}:{(127,1),(129,1),(132,1),(141,1),(176,1),(177,1)}
       155:{1,3,5,7}:{(128,1),(129,1),(142,1),(173,1),(176,1),(178,1)}
       156:{3,6}:{(129,1),(130,1)}
       157:{1,2,4,6,7}:{(130,1),(131,1),(134,1),(144,1),(175,1),(179,1),(180,1),(204,1),(205,1)}
       158:{2,4,6}:{(132,1),(133,1),(170,1),(177,1)}
       159:{3,4,6,7}:{(133,1),(134,1),(146,1),(171,1),(179,1),(180,1)}
       160:{1,2,4}:{(135,1),(136,1),(181,1)}
       161:{2,3,4,5}:{(136,1),(137,1),(141,1),(182,1),(183,1)}
       162:{1,4,5}:{(137,1),(142,1),(184,1)}
       163:{3,4,6}:{(137,1),(138,1),(143,1),(184,1),(185,1)}
       164:{2,4,7}:{(138,1),(139,1),(185,1)}
       165:{1,2,5}:{(140,1),(141,1),(142,1)}
       166:{2,3,5,6}:{(141,1),(143,1),(145,1),(177,1),(183,1),(186,1),(187,1)}
       167:{1,3,5,6}:{(142,1),(143,1),(178,1),(184,1),(186,1),(188,1),(202,1),(206,1)}
       168:{3,5,7}:{(143,1),(144,1),(179,1),(185,1)}
       169:{2,4,5,7}:{(145,1),(146,1),(180,1),(187,1)}
       170:{2,5,6}:{(147,1),(148,1),(158,1)}
       171:{3,5,6,7}:{(148,1),(149,1),(159,1),(189,1)}
       172:{2,4,5,6}:{(151,1),(190,1),(191,1)}
       173:{1,4,5,7}:{(150,1),(155,1),(162,1),(192,1),(200,1),(208,1)}
       174:{3,4,6}:{(150,1),(151,1),(156,1),(190,1),(192,1)}
       175:{2,4,6,7}:{(151,1),(152,1),(164,1),(191,1),(193,1)}
       176:{1,2,5,7}:{(153,1),(154,1),(155,1),(165,1),(194,1)}
       177:{2,3,6}:{(154,1),(156,1),(158,1),(194,1)}
       178:{1,3,6}:{(155,1),(156,1),(192,1),(194,1)}
       179:{3,6,7}:{(156,1),(157,1),(168,1)}
       180:{2,4,6,7}:{(158,1),(159,1),(169,1),(189,1),(195,1)}
       181:{1,3,4}:{(160,1),(197,1)}
       182:{1,2,4,5}:{(160,1),(161,1),(162,1),(165,1),(197,1),(198,1)}
       183:{2,3,4,6}:{(161,1),(163,1),(166,1),(198,1),(199,1)}
       184:{1,4,6}:{(162,1),(163,1),(167,1),(200,1)}
       185:{3,4,7}:{(163,1),(164,1),(168,1),(200,1)}
       186:{1,2,5,6}:{(165,1),(166,1),(167,1),(194,1),(198,1),(201,1)}
       187:{2,3,5,7}:{(166,1),(168,1),(169,1),(195,1),(199,1),(201,1)}
       188:{1,3,5,7}:{(167,1),(168,1),(196,1),(200,1),(201,1),(208,1),(209,1)}
       189:{2,5,6,7}:{(170,1),(171,1),(180,1)}
       190:{3,5,6}:{(172,1),(174,1),(202,1),(203,1)}
       191:{2,4,5,7}:{(172,1),(175,1),(203,1)}
       192:{1,4,6}:{(173,1),(174,1),(178,1),(202,1)}
       193:{3,4,6,7}:{(174,1),(175,1),(179,1),(185,1),(203,1),(204,1)}
       194:{1,2,6}:{(176,1),(177,1),(178,1)}
       195:{2,3,6,7}:{(177,1),(179,1),(180,1),(187,1),(205,1)}
       196:{1,3,6,7}:{(178,1),(179,1),(188,1),(204,1),(205,1)}
       197:{1,3,5}:{(181,1),(182,1),(206,1)}
       198:{1,2,4,6}:{(182,1),(183,1),(184,1),(186,1),(206,1),(207,1)}
       199:{2,3,4,7}:{(183,1),(185,1),(187,1),(207,1)}
       200:{1,4,7}:{(184,1),(185,1),(188,1)}
       201:{1,2,5,7}:{(186,1),(187,1),(188,1),(205,1),(207,1)}
       202:{1,5,6}:{(190,1),(192,1),(208,1)}
       203:{3,5,7}:{(190,1),(191,1),(193,1),(208,1)}
       204:{1,4,6,7}:{(192,1),(193,1),(196,1),(200,1),(208,1)}
       205:{1,2,6,7}:{(194,1),(195,1),(196,1),(201,1)}
       206:{1,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,2,4,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       208:{1,5,7}:{(202,1),(203,1),(204,1)}
       209:{1,3,7}:{(206,1),(207,1)}

1429 :   0:{1,2,3,4}:{(1,1)}
         1:{1,2,3,5}:{(0,1),(4,1),(5,1)}
         2:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(20,1),(24,1),(81,1),(84,1)}
         3:{1,3,4,5}:{(4,1),(8,1),(22,1)}
         4:{1,2,4,5}:{(1,1),(3,1),(9,1),(10,1)}
         5:{1,2,3,6}:{(1,1),(10,1),(12,1)}
         6:{1,2,3,5}:{(2,1),(13,1)}
         7:{1,2,3,4,7}:{(2,1),(12,1),(14,1),(32,1),(95,1)}
         8:{1,3,4,6}:{(3,1),(10,1),(15,1),(16,1),(31,1)}
         9:{2,3,4,5}:{(4,1),(17,1),(22,1)}
        10:{1,2,4,6}:{(4,1),(5,1),(8,1),(17,1),(18,1),(19,1)}
        11:{1,2,3,5,6}:{(5,1),(6,1),(18,1),(20,1),(21,1),(24,1),(43,1),(52,1),(76,1),(81,1)}
        12:{1,2,3,7}:{(5,1),(19,1)}
        13:{1,2,4,5}:{(6,1),(20,1),(22,1)}
        14:{1,2,3,5,7}:{(6,1),(7,1),(23,1),(24,1)}
        15:{1,3,5,6}:{(8,1),(18,1),(25,1),(26,1),(43,1)}
        16:{1,3,4,7}:{(8,1),(19,1),(26,1),(48,1)}
        17:{2,3,4,6}:{(9,1),(10,1),(27,1),(28,1),(31,1)}
        18:{1,2,5,6}:{(10,1),(15,1),(27,1),(30,1)}
        19:{1,2,4,7}:{(10,1),(12,1),(16,1),(28,1),(30,1)}
        20:{1,2,4,6}:{(11,1),(13,1),(31,1),(32,1)}
        21:{1,2,3,5,7}:{(11,1),(12,1),(30,1),(32,1),(33,1),(61,1),(67,1),(91,1),(95,1)}
        22:{3,4,5}:{(13,1),(31,1)}
        23:{1,2,4,5,7}:{(13,1),(14,1),(32,1),(36,1),(37,1),(67,1)}
        24:{1,2,3,6}:{(14,1),(37,1)}
        25:{1,4,5,6}:{(15,1),(38,1),(39,1)}
        26:{1,3,5,7}:{(15,1),(16,1),(30,1),(39,1),(40,1),(61,1)}
        27:{2,3,5,6}:{(17,1),(18,1),(41,1),(42,1),(43,1)}
        28:{2,3,4,7}:{(17,1),(19,1),(42,1),(48,1)}
        29:{1,2,4,5,6}:{(18,1),(20,1),(25,1),(41,1),(43,1),(44,1),(52,1),(53,1),(73,1),(76,1),(85,1)}
        30:{1,2,5,7}:{(18,1),(19,1),(26,1),(42,1),(45,1)}
        31:{3,4,6}:{(20,1),(22,1),(43,1),(48,1)}
        32:{1,2,4,7}:{(20,1),(21,1),(48,1)}
        33:{1,2,3,6,7}:{(21,1),(24,1),(45,1),(49,1),(79,1),(101,1)}
        34:{1,3,4,5}:{(22,1),(46,1),(50,1)}
        35:{2,3,4,5}:{(22,1),(47,1),(50,1)}
        36:{3,4,5,7}:{(22,1),(23,1),(48,1),(51,1),(83,1)}
        37:{1,2,4,6}:{(23,1),(24,1),(51,1),(52,1)}
        38:{3,4,5,6}:{(25,1),(43,1),(53,1),(54,1),(85,1)}
        39:{1,4,5,7}:{(25,1),(26,1),(54,1),(55,1)}
        40:{1,3,6,7}:{(26,1),(45,1),(55,1),(79,1)}
        41:{2,4,5,6}:{(27,1),(56,1),(57,1)}
        42:{2,3,5,7}:{(27,1),(28,1),(30,1),(57,1),(58,1),(61,1)}
        43:{3,5,6}:{(29,1),(31,1),(61,1)}
        44:{1,2,4,5,7}:{(29,1),(30,1),(32,1),(39,1),(57,1),(61,1),(62,1),(67,1),(70,1),(88,1),(91,1),(96,1)}
        45:{1,2,6,7}:{(30,1),(40,1),(58,1)}
        46:{1,3,4,6}:{(31,1),(34,1),(59,1),(63,1),(64,1)}
        47:{2,3,4,6}:{(31,1),(35,1),(60,1),(63,1),(65,1)}
        48:{3,4,7}:{(31,1),(32,1),(61,1)}
        49:{1,2,4,6,7}:{(32,1),(33,1),(37,1),(66,1),(67,1)}
        50:{1,2,4,5}:{(34,1),(35,1),(63,1),(68,1)}
        51:{3,4,6}:{(36,1),(37,1),(69,1)}
        52:{1,2,5,6}:{(37,1),(67,1),(69,1)}
        53:{2,4,5,6}:{(38,1),(60,1),(70,1)}
        54:{3,4,5,7}:{(38,1),(39,1),(61,1),(70,1),(71,1),(96,1)}
        55:{1,4,6,7}:{(39,1),(40,1),(71,1),(72,1)}
        56:{3,4,5,6}:{(41,1),(43,1),(73,1),(74,1),(85,1)}
        57:{2,4,5,7}:{(41,1),(42,1),(74,1),(75,1)}
        58:{2,3,6,7}:{(42,1),(45,1),(75,1),(79,1)}
        59:{1,3,5,6}:{(43,1),(46,1),(73,1),(76,1),(77,1)}
        60:{2,3,5,6}:{(43,1),(47,1),(53,1),(76,1),(78,1)}
        61:{3,5,7}:{(43,1),(44,1),(48,1),(79,1)}
        62:{1,2,4,6,7}:{(44,1),(45,1),(55,1),(75,1),(79,1),(80,1),(86,1),(99,1),(101,1),(102,1)}
        63:{1,2,4,6}:{(46,1),(47,1),(50,1),(76,1),(81,1),(82,1)}
        64:{1,3,4,7}:{(46,1),(48,1),(77,1),(82,1)}
        65:{2,3,4,7}:{(47,1),(48,1),(78,1),(82,1)}
        66:{3,4,6,7}:{(48,1),(49,1),(51,1),(79,1),(83,1),(102,1)}
        67:{1,2,5,7}:{(49,1),(52,1),(83,1)}
        68:{1,2,3,5}:{(50,1),(81,1),(84,1)}
        69:{3,5,6}:{(51,1),(52,1),(83,1),(85,1)}
        70:{2,4,5,7}:{(53,1),(54,1),(78,1),(86,1)}
        71:{3,4,6,7}:{(54,1),(55,1),(79,1),(86,1),(87,1),(102,1)}
        72:{1,5,6,7}:{(55,1),(87,1)}
        73:{1,4,5,6}:{(56,1),(59,1),(88,1)}
        74:{3,4,5,7}:{(56,1),(57,1),(61,1),(88,1),(89,1),(96,1)}
        75:{2,4,6,7}:{(57,1),(58,1),(89,1),(90,1)}
        76:{1,2,5,6}:{(59,1),(60,1),(63,1),(91,1)}
        77:{1,3,5,7}:{(59,1),(61,1),(64,1),(88,1),(91,1),(92,1)}
        78:{2,3,5,7}:{(60,1),(61,1),(65,1),(70,1),(91,1),(93,1)}
        79:{3,6,7}:{(61,1),(62,1)}
        80:{1,2,5,6,7}:{(62,1),(67,1),(72,1),(90,1),(94,1),(97,1),(103,1)}
        81:{1,2,3,6}:{(63,1),(68,1),(95,1)}
        82:{1,2,4,7}:{(63,1),(64,1),(65,1),(91,1),(95,1)}
        83:{3,5,7}:{(66,1),(67,1),(69,1),(96,1)}
        84:{1,2,3,4}:{(68,1)}
        85:{4,5,6}:{(69,1),(96,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(93,1),(97,1)}
        87:{3,5,6,7}:{(71,1),(72,1),(97,1),(98,1)}
        88:{1,4,5,7}:{(73,1),(74,1),(77,1),(99,1)}
        89:{3,4,6,7}:{(74,1),(75,1),(79,1),(99,1),(100,1),(102,1)}
        90:{2,5,6,7}:{(75,1),(100,1)}
        91:{1,2,5,7}:{(76,1),(77,1),(78,1),(82,1),(101,1)}
        92:{1,3,6,7}:{(77,1),(79,1),(99,1),(101,1)}
        93:{2,3,6,7}:{(78,1),(79,1),(86,1),(101,1)}
        94:{3,5,6,7}:{(79,1),(80,1),(83,1),(102,1)}
        95:{1,2,3,7}:{(81,1),(82,1)}
        96:{4,5,7}:{(83,1),(85,1),(102,1)}
        97:{2,5,6,7}:{(86,1),(87,1)}
        98:{4,5,6,7}:{(87,1),(102,1)}
        99:{1,4,6,7}:{(88,1),(89,1),(92,1),(103,1)}
       100:{3,5,6,7}:{(89,1),(90,1),(103,1),(104,1)}
       101:{1,2,6,7}:{(91,1),(92,1),(93,1)}
       102:{4,6,7}:{(94,1),(96,1)}
       103:{1,5,6,7}:{(99,1),(100,1)}
       104:{4,5,6,7}:{(100,1),(102,1)}

1430 :   0:{1,3,4,6,7}:{(2,1),(3,1),(16,1),(35,1),(39,1),(41,1),(65,1),(70,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(18,1),(37,1),(39,1),(41,1),(66,1),(71,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(6,1),(24,1),(25,1),(51,1),(53,1),(80,1),(84,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(26,1),(50,1),(82,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(9,1),(10,1),(26,1),(52,1),(83,1)}
         5:{1,2,3,6,7}:{(2,1),(13,1),(41,1),(65,1),(66,1),(76,1),(95,1),(101,1)}
         6:{1,2,5,7}:{(2,1),(3,1),(4,1),(14,1),(67,1),(68,1),(94,1)}
         7:{1,3,5,6}:{(3,1),(14,1),(16,1),(41,1),(44,1)}
         8:{1,4,5,7}:{(3,1),(16,1),(17,1),(89,1),(92,1)}
         9:{2,3,5,6}:{(4,1),(14,1),(18,1),(41,1),(46,1)}
        10:{2,4,5,7}:{(4,1),(18,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(7,1),(20,1),(21,1),(49,1),(50,1),(78,1)}
        12:{2,3,5,6,7}:{(9,1),(20,1),(22,1),(49,1),(52,1),(79,1)}
        13:{1,2,3,5,7}:{(5,1),(6,1),(23,1),(24,1),(26,1),(61,1),(78,1),(79,1),(85,1),(99,1)}
        14:{1,2,5,6}:{(6,1),(7,1),(9,1),(25,1),(62,1),(63,1)}
        15:{1,2,4,5,7}:{(6,1),(8,1),(10,1),(24,1),(25,1),(26,1),(29,1),(32,1),(54,1),(61,1),(97,1),(98,1)}
        16:{1,4,6}:{(7,1),(8,1),(28,1)}
        17:{3,4,5,7}:{(8,1),(26,1),(28,1),(29,1),(50,1),(77,1),(81,1)}
        18:{2,4,6}:{(9,1),(10,1),(31,1)}
        19:{3,4,5,7}:{(10,1),(26,1),(31,1),(32,1),(52,1),(77,1),(81,1)}
        20:{1,2,5,6,7}:{(11,1),(12,1),(14,1),(33,1),(67,1),(68,1),(91,1)}
        21:{1,4,6,7}:{(11,1),(16,1),(34,1),(35,1),(89,1)}
        22:{2,4,6,7}:{(12,1),(18,1),(36,1),(37,1),(90,1)}
        23:{1,2,3,5,6}:{(13,1),(14,1),(38,1),(41,1),(69,1),(74,1),(75,1),(76,1),(94,1),(95,1)}
        24:{1,2,4,7}:{(13,1),(38,1),(39,1),(89,1),(90,1),(103,1)}
        25:{1,2,4,6}:{(14,1),(15,1),(16,1),(18,1),(41,1),(45,1),(47,1),(76,1)}
        26:{3,5,7}:{(15,1),(39,1),(41,1),(69,1),(101,1),(102,1)}
        27:{1,4,5,6}:{(16,1),(34,1),(44,1)}
        28:{3,4,6}:{(16,1),(17,1),(41,1),(44,1),(45,1)}
        29:{2,4,5,7}:{(17,1),(43,1),(45,1),(67,1),(90,1),(93,1)}
        30:{2,4,5,6}:{(18,1),(36,1),(46,1)}
        31:{3,4,6}:{(18,1),(19,1),(41,1),(46,1),(47,1)}
        32:{1,4,5,7}:{(19,1),(42,1),(47,1),(68,1),(89,1),(92,1)}
        33:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(25,1),(48,1),(49,1),(51,1),(53,1),(80,1),(97,1)}
        34:{1,4,5,7}:{(21,1),(27,1),(50,1)}
        35:{3,4,6,7}:{(21,1),(28,1),(49,1),(50,1),(51,1),(77,1)}
        36:{2,4,5,7}:{(22,1),(30,1),(52,1)}
        37:{3,4,6,7}:{(22,1),(31,1),(49,1),(52,1),(53,1),(77,1)}
        38:{1,2,4,6}:{(23,1),(24,1),(54,1),(55,1),(86,1),(87,1)}
        39:{3,4,7}:{(24,1),(26,1),(55,1),(104,1)}
        40:{1,2,4,5,6}:{(25,1),(27,1),(30,1),(48,1),(54,1),(58,1),(62,1),(63,1),(86,1),(87,1),(88,1)}
        41:{3,6}:{(25,1),(26,1)}
        42:{1,3,5,7}:{(26,1),(32,1),(56,1),(59,1),(61,1),(82,1)}
        43:{2,3,5,7}:{(26,1),(29,1),(57,1),(60,1),(61,1),(83,1)}
        44:{3,5,6}:{(27,1),(28,1),(50,1),(62,1)}
        45:{2,4,6}:{(28,1),(29,1),(60,1),(62,1)}
        46:{3,5,6}:{(30,1),(31,1),(52,1),(63,1)}
        47:{1,4,6}:{(31,1),(32,1),(59,1),(63,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(64,1),(67,1),(68,1),(89,1),(90,1),(91,1)}
        49:{3,6,7}:{(33,1),(41,1),(64,1),(101,1)}
        50:{3,5,7}:{(34,1),(35,1),(44,1),(67,1)}
        51:{2,4,6,7}:{(35,1),(45,1),(66,1),(67,1),(90,1)}
        52:{3,5,7}:{(36,1),(37,1),(46,1),(68,1)}
        53:{1,4,6,7}:{(37,1),(47,1),(65,1),(68,1),(89,1)}
        54:{1,2,4,5}:{(38,1),(69,1),(92,1),(93,1),(94,1)}
        55:{3,4,6}:{(38,1),(39,1),(41,1),(69,1)}
        56:{1,3,4,7}:{(39,1),(42,1),(70,1),(72,1),(89,1),(101,1)}
        57:{2,3,4,7}:{(39,1),(43,1),(71,1),(72,1),(90,1),(101,1)}
        58:{3,5,6}:{(40,1),(41,1),(64,1),(69,1),(73,1)}
        59:{1,3,6}:{(41,1),(42,1),(47,1),(76,1)}
        60:{2,3,6}:{(41,1),(43,1),(45,1),(76,1)}
        61:{1,2,5,7}:{(42,1),(43,1),(72,1),(76,1),(94,1)}
        62:{2,5,6}:{(44,1),(45,1),(67,1)}
        63:{1,5,6}:{(46,1),(47,1),(68,1)}
        64:{3,5,7}:{(48,1),(49,1),(58,1),(77,1)}
        65:{1,3,6,7}:{(49,1),(53,1),(59,1),(78,1),(80,1)}
        66:{2,3,6,7}:{(49,1),(51,1),(60,1),(79,1),(80,1)}
        67:{2,5,7}:{(50,1),(51,1),(62,1)}
        68:{1,5,7}:{(52,1),(53,1),(63,1)}
        69:{3,5}:{(54,1),(55,1)}
        70:{1,3,4,6}:{(55,1),(56,1),(59,1),(82,1),(84,1),(86,1),(100,1),(104,1)}
        71:{2,3,4,6}:{(55,1),(57,1),(60,1),(83,1),(84,1),(87,1),(100,1),(104,1)}
        72:{1,2,4,7}:{(56,1),(57,1),(61,1),(84,1),(85,1)}
        73:{3,4,6}:{(58,1),(77,1),(81,1),(86,1),(87,1),(100,1)}
        74:{1,3,5,6}:{(58,1),(59,1),(63,1),(78,1),(82,1),(86,1),(88,1),(100,1)}
        75:{2,3,5,6}:{(58,1),(60,1),(62,1),(79,1),(83,1),(87,1),(88,1),(100,1)}
        76:{1,2,6}:{(59,1),(60,1),(61,1)}
        77:{3,4,7}:{(64,1),(73,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(65,1),(68,1),(74,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(66,1),(67,1),(75,1),(90,1),(91,1),(101,1)}
        80:{1,2,6,7}:{(65,1),(66,1),(76,1),(91,1)}
        81:{3,4,5}:{(69,1),(73,1),(92,1),(93,1),(102,1)}
        82:{1,3,5}:{(69,1),(70,1),(92,1),(94,1),(102,1)}
        83:{2,3,5}:{(69,1),(71,1),(93,1),(94,1),(102,1)}
        84:{1,2,4,6}:{(70,1),(71,1),(72,1),(76,1),(94,1),(95,1),(103,1)}
        85:{1,2,3,7}:{(72,1),(95,1),(101,1)}
        86:{1,4,6}:{(73,1),(74,1),(89,1),(92,1)}
        87:{2,4,6}:{(73,1),(75,1),(90,1),(93,1)}
        88:{1,2,5,6}:{(74,1),(75,1),(76,1),(91,1),(94,1),(96,1)}
        89:{1,4,7}:{(77,1),(78,1),(86,1)}
        90:{2,4,7}:{(77,1),(79,1),(87,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(80,1),(88,1),(97,1)}
        92:{1,4,5}:{(81,1),(82,1),(86,1)}
        93:{2,4,5}:{(81,1),(83,1),(87,1)}
        94:{1,2,5}:{(82,1),(83,1),(84,1)}
        95:{1,2,3,6}:{(84,1),(85,1),(99,1),(100,1)}
        96:{1,2,4,6}:{(86,1),(87,1),(88,1),(97,1),(98,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(96,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(96,1),(102,1),(103,1)}
        99:{1,2,3,5}:{(94,1),(95,1),(102,1),(103,1)}
       100:{3,6}:{(96,1),(101,1),(102,1)}
       101:{3,7}:{(97,1),(100,1)}
       102:{3,5}:{(98,1),(100,1),(104,1)}
       103:{1,2,4}:{(99,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1431 :   0:{1,2,3,6}:{(3,1),(4,1),(5,1),(73,1),(127,1)}
         1:{2,3,4,6}:{(4,1),(6,1),(7,1),(21,1),(28,1),(31,1),(73,1),(75,1)}
         2:{1,3,4,6}:{(4,1),(8,1),(9,1),(21,1),(33,1),(36,1),(73,1),(75,1)}
         3:{1,2,3,5}:{(0,1),(10,1),(12,1),(40,1),(43,1),(98,1)}
         4:{1,2,4,6}:{(0,1),(1,1),(2,1),(10,1),(12,1),(13,1),(49,1)}
         5:{1,2,3,7}:{(0,1),(13,1),(107,1),(153,1),(224,1)}
         6:{2,3,5}:{(1,1),(12,1),(14,1),(43,1),(109,1)}
         7:{2,3,4,7}:{(1,1),(13,1),(16,1),(44,1),(53,1),(107,1),(195,1)}
         8:{1,3,5}:{(2,1),(12,1),(17,1),(43,1),(109,1)}
         9:{1,3,4,7}:{(2,1),(13,1),(19,1),(44,1),(59,1),(107,1),(194,1)}
        10:{1,2,4}:{(3,1),(21,1)}
        11:{1,2,3,5,7}:{(3,1),(5,1),(23,1),(24,1),(26,1),(68,1),(74,1),(78,1),(128,1),(130,1)}
        12:{1,2,5}:{(4,1),(6,1),(8,1)}
        13:{1,2,4,7}:{(4,1),(5,1),(7,1),(9,1),(26,1),(212,1)}
        14:{2,4,5}:{(6,1),(27,1),(28,1),(139,1)}
        15:{2,3,5,6}:{(6,1),(25,1),(28,1),(30,1),(31,1),(65,1),(73,1),(85,1),(138,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(26,1),(29,1),(31,1),(74,1),(211,1),(228,1)}
        17:{1,4,5}:{(8,1),(32,1),(33,1),(139,1)}
        18:{1,3,5,6}:{(8,1),(25,1),(33,1),(35,1),(36,1),(37,1),(73,1),(91,1),(138,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(26,1),(34,1),(36,1),(74,1),(210,1),(227,1)}
        20:{1,4,5,6}:{(33,1),(37,1),(38,1),(91,1),(148,1)}
        21:{3,4}:{(10,1),(43,1)}
        22:{1,2,4,5}:{(10,1),(12,1),(14,1),(17,1),(43,1),(45,1),(50,1),(56,1),(98,1)}
        23:{1,2,4,7}:{(10,1),(11,1),(44,1),(47,1),(156,1)}
        24:{1,2,3,6}:{(11,1),(47,1),(49,1),(108,1),(154,1)}
        25:{1,2,5,6}:{(12,1),(15,1),(18,1),(45,1),(48,1),(49,1),(62,1),(95,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(16,1),(19,1),(49,1),(223,1),(230,1)}
        27:{3,4,5}:{(14,1),(43,1),(50,1),(51,1)}
        28:{2,4,6}:{(14,1),(15,1),(51,1),(53,1),(164,1)}
        29:{2,4,5,7}:{(14,1),(16,1),(52,1),(53,1),(54,1),(116,1),(201,1),(226,1)}
        30:{2,3,5,7}:{(15,1),(48,1),(53,1),(55,1),(96,1),(107,1),(116,1),(163,1)}
        31:{2,3,6}:{(16,1),(49,1),(54,1),(108,1)}
        32:{3,4,5}:{(17,1),(43,1),(56,1),(57,1)}
        33:{1,4,6}:{(17,1),(18,1),(57,1),(59,1),(164,1)}
        34:{1,4,5,7}:{(17,1),(19,1),(58,1),(59,1),(60,1),(121,1),(198,1),(225,1)}
        35:{1,3,5,7}:{(18,1),(48,1),(59,1),(61,1),(63,1),(107,1),(121,1),(163,1)}
        36:{1,3,6}:{(19,1),(49,1),(60,1),(108,1)}
        37:{3,5,6}:{(20,1),(57,1),(62,1),(63,1)}
        38:{1,4,5,7}:{(20,1),(59,1),(63,1),(64,1),(121,1),(170,1)}
        39:{2,4,5,6}:{(28,1),(65,1),(66,1),(85,1),(144,1)}
        40:{1,2,3}:{(67,1)}
        41:{2,3,4}:{(21,1),(67,1),(69,1)}
        42:{1,3,4}:{(21,1),(67,1),(71,1)}
        43:{3,5}:{(21,1),(22,1),(73,1)}
        44:{3,4,7}:{(21,1),(23,1),(74,1),(75,1),(177,1),(184,1)}
        45:{1,2,4,6}:{(22,1),(25,1),(28,1),(33,1),(73,1),(76,1),(80,1),(86,1),(127,1)}
        46:{1,2,4,5,7}:{(22,1),(23,1),(26,1),(29,1),(34,1),(74,1),(76,1),(77,1),(78,1),(81,1),(87,1),(128,1),(139,1),(140,1),(176,1),(184,1),(208,1)}
        47:{1,2,4,6}:{(23,1),(24,1),(75,1),(78,1)}
        48:{1,2,5,7}:{(25,1),(30,1),(35,1),(76,1),(79,1),(92,1),(124,1)}
        49:{1,2,6}:{(26,1),(31,1),(36,1)}
        50:{1,4,5}:{(27,1),(71,1),(80,1)}
        51:{3,4,6}:{(27,1),(28,1),(65,1),(73,1),(80,1),(82,1)}
        52:{3,4,5,7}:{(27,1),(29,1),(74,1),(81,1),(82,1),(83,1),(139,1),(143,1),(183,1),(184,1),(215,1)}
        53:{2,4,7}:{(28,1),(30,1),(82,1),(184,1)}
        54:{2,4,6}:{(29,1),(31,1),(83,1),(85,1)}
        55:{2,3,6,7}:{(30,1),(31,1),(79,1),(84,1),(125,1),(137,1),(228,1)}
        56:{2,4,5}:{(32,1),(69,1),(86,1)}
        57:{3,4,6}:{(32,1),(33,1),(37,1),(73,1),(86,1),(88,1)}
        58:{3,4,5,7}:{(32,1),(34,1),(74,1),(87,1),(88,1),(89,1),(139,1),(147,1),(180,1),(184,1),(213,1)}
        59:{1,4,7}:{(33,1),(35,1),(88,1),(184,1)}
        60:{1,4,6}:{(34,1),(36,1),(89,1),(91,1)}
        61:{1,3,6,7}:{(35,1),(36,1),(79,1),(90,1),(93,1),(137,1),(227,1)}
        62:{2,5,6}:{(37,1),(86,1),(92,1)}
        63:{3,5,7}:{(37,1),(38,1),(88,1),(92,1),(93,1)}
        64:{1,4,6,7}:{(38,1),(93,1),(94,1),(150,1)}
        65:{3,5,6}:{(39,1),(51,1),(95,1),(96,1)}
        66:{2,4,5,7}:{(39,1),(53,1),(96,1),(97,1),(116,1),(167,1)}
        67:{1,2,4}:{(40,1),(41,1),(42,1),(98,1)}
        68:{1,2,3,7}:{(40,1),(99,1),(100,1),(220,1),(230,1)}
        69:{2,3,5}:{(41,1),(43,1),(56,1),(98,1),(101,1)}
        70:{2,3,4,7}:{(41,1),(44,1),(99,1),(102,1),(103,1),(196,1),(220,1)}
        71:{1,3,5}:{(42,1),(43,1),(50,1),(98,1),(104,1)}
        72:{1,3,4,7}:{(42,1),(44,1),(99,1),(105,1),(106,1),(199,1),(220,1)}
        73:{3,6}:{(43,1),(45,1),(107,1)}
        74:{3,5,7}:{(43,1),(44,1),(46,1),(107,1),(108,1),(109,1),(193,1),(220,1)}
        75:{3,4,6}:{(44,1),(47,1),(108,1),(109,1),(164,1)}
        76:{1,2,4,7}:{(45,1),(48,1),(53,1),(59,1),(107,1),(112,1),(117,1),(153,1)}
        77:{1,2,4,6}:{(46,1),(49,1),(54,1),(60,1),(108,1),(111,1),(113,1),(118,1),(154,1),(164,1)}
        78:{1,2,5}:{(47,1),(109,1)}
        79:{1,2,6,7}:{(48,1),(49,1),(55,1),(61,1),(122,1),(151,1),(230,1)}
        80:{1,4,6}:{(50,1),(51,1),(95,1),(104,1),(112,1)}
        81:{1,4,5,7}:{(50,1),(52,1),(105,1),(112,1),(113,1),(162,1),(165,1),(199,1)}
        82:{3,4,7}:{(51,1),(53,1),(96,1),(107,1),(112,1)}
        83:{3,4,6}:{(52,1),(54,1),(108,1),(113,1),(115,1),(164,1)}
        84:{2,4,6,7}:{(53,1),(54,1),(55,1),(114,1),(116,1),(219,1),(226,1)}
        85:{2,5,6}:{(54,1),(115,1),(116,1)}
        86:{2,4,6}:{(56,1),(57,1),(62,1),(101,1),(117,1)}
        87:{2,4,5,7}:{(56,1),(58,1),(102,1),(117,1),(118,1),(159,1),(168,1),(196,1)}
        88:{3,4,7}:{(57,1),(59,1),(63,1),(107,1),(117,1)}
        89:{3,4,6}:{(58,1),(60,1),(108,1),(118,1),(120,1),(164,1)}
        90:{1,4,6,7}:{(59,1),(60,1),(61,1),(119,1),(121,1),(206,1),(225,1)}
        91:{1,5,6}:{(60,1),(120,1),(121,1)}
        92:{2,5,7}:{(62,1),(63,1),(117,1),(122,1)}
        93:{3,6,7}:{(63,1),(64,1),(122,1)}
        94:{1,5,6,7}:{(64,1),(121,1),(123,1),(206,1)}
        95:{1,5,6}:{(65,1),(80,1),(124,1)}
        96:{3,5,7}:{(65,1),(66,1),(82,1),(124,1),(125,1)}
        97:{2,4,6,7}:{(66,1),(125,1),(126,1),(173,1)}
        98:{1,2,5}:{(67,1),(69,1),(71,1),(127,1)}
        99:{1,2,4,7}:{(67,1),(68,1),(70,1),(72,1),(128,1),(129,1)}
       100:{1,2,3,6}:{(68,1),(129,1),(130,1),(209,1),(229,1)}
       101:{2,3,6}:{(69,1),(73,1),(86,1),(127,1),(131,1)}
       102:{2,3,5,7}:{(69,1),(70,1),(74,1),(87,1),(128,1),(131,1),(132,1),(133,1)}
       103:{2,3,4,6}:{(70,1),(75,1),(129,1),(132,1),(133,1),(177,1),(179,1),(209,1)}
       104:{1,3,6}:{(71,1),(73,1),(80,1),(127,1),(134,1)}
       105:{1,3,5,7}:{(71,1),(72,1),(74,1),(81,1),(128,1),(134,1),(135,1),(136,1)}
       106:{1,3,4,6}:{(72,1),(75,1),(129,1),(135,1),(136,1),(177,1),(182,1),(209,1)}
       107:{3,7}:{(73,1),(76,1)}
       108:{3,6}:{(74,1),(77,1)}
       109:{3,5}:{(75,1),(78,1),(139,1)}
       110:{1,2,4,6,7}:{(76,1),(77,1),(79,1),(84,1),(90,1),(137,1),(140,1),(141,1),(145,1),(174,1),(184,1),(208,1)}
       111:{1,2,5,6}:{(77,1),(78,1),(85,1),(91,1),(138,1),(140,1),(142,1),(146,1)}
       112:{1,4,7}:{(80,1),(82,1),(124,1),(134,1)}
       113:{1,4,6}:{(81,1),(83,1),(135,1),(142,1)}
       114:{3,4,6,7}:{(82,1),(83,1),(84,1),(125,1),(137,1),(141,1),(143,1),(173,1),(184,1),(207,1),(215,1)}
       115:{3,5,6}:{(83,1),(85,1),(142,1),(143,1),(144,1)}
       116:{2,5,7}:{(84,1),(85,1),(143,1)}
       117:{2,4,7}:{(86,1),(88,1),(92,1),(131,1)}
       118:{2,4,6}:{(87,1),(89,1),(132,1),(146,1)}
       119:{3,4,6,7}:{(88,1),(89,1),(90,1),(93,1),(137,1),(145,1),(147,1),(150,1),(184,1),(189,1),(213,1)}
       120:{3,5,6}:{(89,1),(91,1),(146,1),(147,1),(148,1)}
       121:{1,5,7}:{(90,1),(91,1),(147,1)}
       122:{2,6,7}:{(92,1),(93,1)}
       123:{3,5,6,7}:{(93,1),(94,1),(147,1),(149,1),(150,1),(189,1)}
       124:{1,5,7}:{(95,1),(96,1),(112,1),(151,1)}
       125:{3,6,7}:{(96,1),(97,1),(151,1)}
       126:{2,5,6,7}:{(97,1),(116,1),(152,1),(219,1)}
       127:{1,2,6}:{(98,1),(101,1),(104,1),(153,1)}
       128:{1,2,5,7}:{(98,1),(99,1),(102,1),(105,1),(153,1),(154,1),(155,1)}
       129:{1,2,4,6}:{(99,1),(100,1),(103,1),(106,1),(154,1),(155,1),(156,1)}
       130:{1,2,3,5}:{(100,1),(155,1),(156,1),(193,1),(223,1),(224,1)}
       131:{2,3,7}:{(101,1),(107,1),(117,1),(153,1)}
       132:{2,3,6}:{(102,1),(108,1),(118,1),(154,1)}
       133:{2,3,5}:{(103,1),(109,1),(155,1),(159,1),(193,1)}
       134:{1,3,7}:{(104,1),(107,1),(112,1),(153,1)}
       135:{1,3,6}:{(105,1),(108,1),(113,1),(154,1)}
       136:{1,3,5}:{(106,1),(109,1),(155,1),(162,1),(193,1)}
       137:{3,6,7}:{(107,1),(108,1),(110,1),(163,1),(220,1)}
       138:{3,5,6}:{(108,1),(109,1),(111,1),(163,1),(164,1)}
       139:{4,5}:{(109,1),(164,1)}
       140:{1,2,5,7}:{(110,1),(111,1),(116,1),(121,1),(163,1),(165,1),(168,1)}
       141:{1,4,6,7}:{(112,1),(113,1),(114,1),(151,1),(160,1),(165,1),(199,1)}
       142:{1,5,6}:{(113,1),(115,1),(165,1)}
       143:{3,5,7}:{(114,1),(115,1),(116,1),(165,1),(167,1)}
       144:{4,5,6}:{(115,1),(164,1),(167,1)}
       145:{2,4,6,7}:{(117,1),(118,1),(119,1),(122,1),(157,1),(168,1),(196,1)}
       146:{2,5,6}:{(118,1),(120,1),(168,1)}
       147:{3,5,7}:{(119,1),(120,1),(121,1),(168,1),(170,1)}
       148:{4,5,6}:{(120,1),(164,1),(170,1)}
       149:{2,5,6,7}:{(122,1),(123,1),(168,1),(171,1)}
       150:{4,6,7}:{(123,1),(170,1)}
       151:{1,6,7}:{(124,1),(125,1)}
       152:{3,5,6,7}:{(125,1),(126,1),(143,1),(172,1),(173,1),(207,1)}
       153:{1,2,7}:{(127,1),(131,1),(134,1)}
       154:{1,2,6}:{(128,1),(132,1),(135,1)}
       155:{1,2,5}:{(129,1),(133,1),(136,1)}
       156:{1,2,4}:{(130,1),(177,1)}
       157:{2,3,6,7}:{(131,1),(132,1),(137,1),(145,1),(174,1),(178,1),(189,1)}
       158:{2,3,5,6}:{(132,1),(133,1),(138,1),(146,1),(175,1),(178,1),(179,1),(188,1),(209,1)}
       159:{2,4,5}:{(133,1),(139,1),(179,1),(180,1)}
       160:{1,3,6,7}:{(134,1),(135,1),(137,1),(141,1),(174,1),(181,1),(207,1)}
       161:{1,3,5,6}:{(135,1),(136,1),(138,1),(142,1),(175,1),(181,1),(182,1),(186,1),(209,1)}
       162:{1,4,5}:{(136,1),(139,1),(182,1),(183,1)}
       163:{3,5,7}:{(137,1),(138,1),(140,1),(184,1)}
       164:{4,6}:{(138,1),(139,1),(184,1)}
       165:{1,5,7}:{(141,1),(142,1),(143,1)}
       166:{1,4,5,6}:{(142,1),(144,1),(182,1),(185,1),(186,1)}
       167:{4,5,7}:{(143,1),(144,1),(173,1),(184,1)}
       168:{2,5,7}:{(145,1),(146,1),(147,1)}
       169:{2,4,5,6}:{(146,1),(148,1),(179,1),(187,1),(188,1)}
       170:{4,5,7}:{(147,1),(148,1),(150,1),(184,1)}
       171:{2,4,6,7}:{(149,1),(150,1),(187,1),(189,1)}
       172:{1,5,6,7}:{(151,1),(152,1),(165,1),(190,1)}
       173:{4,6,7}:{(152,1),(167,1)}
       174:{1,2,6,7}:{(153,1),(154,1),(157,1),(160,1),(191,1),(206,1),(219,1)}
       175:{1,2,5,6}:{(154,1),(155,1),(158,1),(161,1),(191,1),(192,1),(203,1),(205,1)}
       176:{1,2,4,5}:{(155,1),(156,1),(159,1),(162,1),(192,1),(193,1),(198,1),(201,1),(223,1)}
       177:{3,4}:{(156,1),(193,1)}
       178:{2,3,5,7}:{(157,1),(158,1),(163,1),(168,1),(191,1),(196,1),(204,1),(220,1)}
       179:{2,4,6}:{(158,1),(159,1),(164,1),(196,1),(197,1)}
       180:{3,4,5}:{(159,1),(193,1),(197,1),(198,1)}
       181:{1,3,5,7}:{(160,1),(161,1),(163,1),(165,1),(191,1),(199,1),(202,1),(220,1)}
       182:{1,4,6}:{(161,1),(162,1),(164,1),(199,1),(200,1)}
       183:{3,4,5}:{(162,1),(193,1),(200,1),(201,1)}
       184:{4,7}:{(163,1),(164,1)}
       185:{1,4,5,7}:{(165,1),(166,1),(167,1),(190,1),(199,1),(202,1)}
       186:{3,5,6}:{(166,1),(200,1),(202,1),(203,1)}
       187:{2,4,5,7}:{(168,1),(169,1),(170,1),(171,1),(196,1),(204,1)}
       188:{3,5,6}:{(169,1),(197,1),(204,1),(205,1)}
       189:{3,6,7}:{(171,1),(204,1),(206,1)}
       190:{1,4,6,7}:{(172,1),(173,1),(185,1),(207,1)}
       191:{1,2,5,7}:{(174,1),(175,1),(178,1),(181,1),(208,1),(217,1),(218,1)}
       192:{1,2,4,6}:{(175,1),(176,1),(179,1),(182,1),(208,1),(209,1),(214,1),(216,1),(229,1)}
       193:{3,5}:{(176,1),(177,1),(209,1)}
       194:{1,3,4}:{(177,1),(210,1),(212,1)}
       195:{2,3,4}:{(177,1),(211,1),(212,1)}
       196:{2,4,7}:{(178,1),(179,1),(184,1),(213,1)}
       197:{3,4,6}:{(179,1),(180,1),(188,1),(209,1),(213,1),(214,1)}
       198:{1,4,5}:{(180,1),(210,1),(214,1)}
       199:{1,4,7}:{(181,1),(182,1),(184,1),(215,1)}
       200:{3,4,6}:{(182,1),(183,1),(186,1),(209,1),(215,1),(216,1)}
       201:{2,4,5}:{(183,1),(211,1),(216,1)}
       202:{3,5,7}:{(185,1),(186,1),(207,1),(215,1),(217,1)}
       203:{2,5,6}:{(186,1),(216,1),(217,1)}
       204:{3,5,7}:{(187,1),(188,1),(189,1),(213,1),(218,1)}
       205:{1,5,6}:{(188,1),(214,1),(218,1)}
       206:{1,6,7}:{(189,1),(218,1)}
       207:{3,6,7}:{(190,1),(202,1),(219,1)}
       208:{1,2,4,7}:{(191,1),(192,1),(196,1),(199,1),(220,1),(225,1),(226,1),(230,1)}
       209:{3,6}:{(192,1),(193,1),(220,1)}
       210:{1,3,5}:{(193,1),(194,1),(198,1),(221,1),(223,1)}
       211:{2,3,5}:{(193,1),(195,1),(201,1),(222,1),(223,1)}
       212:{1,2,4}:{(194,1),(195,1),(223,1),(224,1)}
       213:{3,4,7}:{(196,1),(197,1),(204,1),(220,1),(225,1)}
       214:{1,4,6}:{(197,1),(198,1),(205,1),(221,1),(225,1)}
       215:{3,4,7}:{(199,1),(200,1),(202,1),(220,1),(226,1)}
       216:{2,4,6}:{(200,1),(201,1),(203,1),(222,1),(226,1)}
       217:{2,5,7}:{(202,1),(203,1),(219,1),(226,1)}
       218:{1,5,7}:{(204,1),(205,1),(206,1),(225,1)}
       219:{2,6,7}:{(207,1),(217,1)}
       220:{3,7}:{(208,1),(209,1)}
       221:{1,3,6}:{(209,1),(210,1),(214,1),(227,1),(229,1)}
       222:{2,3,6}:{(209,1),(211,1),(216,1),(228,1),(229,1)}
       223:{1,2,5}:{(210,1),(211,1),(212,1),(229,1)}
       224:{1,2,3}:{(212,1)}
       225:{1,4,7}:{(213,1),(214,1),(218,1),(227,1)}
       226:{2,4,7}:{(215,1),(216,1),(217,1),(228,1)}
       227:{1,3,7}:{(220,1),(221,1),(225,1),(230,1)}
       228:{2,3,7}:{(220,1),(222,1),(226,1),(230,1)}
       229:{1,2,6}:{(221,1),(222,1),(223,1),(230,1)}
       230:{1,2,7}:{(227,1),(228,1),(229,1)}

1432 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(16,1),(17,1),(20,1),(21,1),(38,1),(71,1),(95,1),(96,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(114,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(18,1),(19,1),(20,1),(127,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(15,1),(71,1),(97,1),(126,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(26,1),(27,1),(28,1)}
         5:{3,5,7}:{(2,1),(3,1),(9,1),(135,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(58,1),(62,1),(87,1),(92,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(58,1),(62,1),(86,1),(91,1),(111,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(36,1),(37,1),(38,1),(65,1),(106,1)}
         9:{3,5,6}:{(4,1),(5,1),(15,1)}
        10:{3,4,5,7}:{(5,1),(15,1),(18,1),(19,1),(45,1),(97,1),(101,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1),(45,1),(109,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(45,1),(108,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(41,1),(46,1),(107,1)}
        14:{3,5,6,7}:{(8,1),(9,1),(23,1),(82,1),(120,1)}
        15:{3,4,6}:{(9,1),(10,1),(26,1),(27,1),(58,1)}
        16:{1,3,5,6}:{(9,1),(11,1),(26,1),(28,1),(58,1)}
        17:{2,3,5,6}:{(9,1),(12,1),(27,1),(28,1),(58,1)}
        18:{1,4,5,7}:{(10,1),(11,1),(26,1),(112,1),(116,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(27,1),(111,1),(115,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(28,1),(121,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(58,1),(86,1),(87,1),(90,1)}
        22:{3,4,5,6}:{(15,1),(33,1),(34,1),(35,1),(68,1),(101,1),(125,1)}
        23:{3,4,6,7}:{(14,1),(15,1),(33,1),(36,1),(37,1),(71,1),(97,1),(125,1)}
        24:{1,3,5,6,7}:{(14,1),(16,1),(36,1),(38,1),(63,1),(71,1),(96,1),(130,1)}
        25:{2,3,5,6,7}:{(14,1),(17,1),(37,1),(38,1),(64,1),(71,1),(95,1),(129,1)}
        26:{1,4,6}:{(15,1),(16,1),(18,1)}
        27:{2,4,6}:{(15,1),(17,1),(19,1)}
        28:{1,2,5,6}:{(16,1),(17,1),(20,1),(41,1)}
        29:{1,3,4,5,7}:{(18,1),(39,1),(43,1),(45,1),(63,1),(79,1),(97,1),(101,1),(109,1),(124,1),(137,1)}
        30:{2,3,4,5,7}:{(19,1),(40,1),(44,1),(45,1),(64,1),(78,1),(97,1),(101,1),(108,1),(123,1),(137,1)}
        31:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(41,1),(45,1),(46,1),(76,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(42,1),(45,1),(46,1),(95,1),(96,1)}
        33:{3,4,5,7}:{(22,1),(23,1),(47,1),(48,1),(82,1)}
        34:{1,4,5,6}:{(22,1),(26,1),(47,1),(49,1),(116,1),(134,1)}
        35:{2,4,5,6}:{(22,1),(27,1),(48,1),(50,1),(115,1),(133,1)}
        36:{1,4,6,7}:{(23,1),(24,1),(26,1),(47,1),(112,1),(134,1)}
        37:{2,4,6,7}:{(23,1),(25,1),(27,1),(48,1),(111,1),(133,1)}
        38:{1,2,5,6,7}:{(24,1),(25,1),(28,1),(54,1),(80,1),(81,1),(136,1)}
        39:{1,3,4,6}:{(26,1),(29,1),(49,1),(56,1),(58,1),(85,1),(134,1),(139,1)}
        40:{2,3,4,6}:{(27,1),(30,1),(50,1),(57,1),(58,1),(85,1),(133,1),(139,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(58,1)}
        42:{1,2,3,5,6}:{(28,1),(32,1),(58,1),(59,1),(83,1),(84,1),(90,1),(93,1),(121,1)}
        43:{1,2,4,5,7}:{(29,1),(56,1),(60,1),(80,1),(94,1),(111,1),(115,1),(121,1)}
        44:{1,2,4,5,7}:{(30,1),(57,1),(61,1),(81,1),(94,1),(112,1),(116,1),(121,1)}
        45:{3,5,7}:{(31,1),(58,1),(62,1),(93,1)}
        46:{1,2,4,7}:{(32,1),(59,1),(62,1),(111,1),(112,1)}
        47:{1,4,5,7}:{(33,1),(34,1),(36,1),(63,1)}
        48:{2,4,5,7}:{(33,1),(35,1),(37,1),(64,1)}
        49:{1,3,5,6}:{(34,1),(39,1),(63,1),(66,1),(68,1),(109,1)}
        50:{2,3,5,6}:{(35,1),(40,1),(64,1),(67,1),(68,1),(108,1)}
        51:{1,2,4,5,6}:{(34,1),(35,1),(41,1),(65,1),(66,1),(67,1),(68,1),(76,1),(99,1),(100,1),(127,1),(138,1)}
        52:{1,3,4,6,7}:{(36,1),(39,1),(63,1),(69,1),(71,1),(97,1)}
        53:{2,3,4,6,7}:{(37,1),(40,1),(64,1),(70,1),(71,1),(97,1)}
        54:{1,2,4,6,7}:{(36,1),(37,1),(38,1),(41,1),(65,1),(71,1),(138,1)}
        55:{1,2,3,5,6,7}:{(38,1),(42,1),(71,1),(72,1),(95,1),(96,1),(102,1),(105,1),(128,1),(129,1),(130,1)}
        56:{1,2,4,6}:{(39,1),(43,1),(66,1),(73,1),(99,1)}
        57:{1,2,4,6}:{(40,1),(44,1),(67,1),(74,1),(100,1)}
        58:{3,6}:{(41,1),(45,1)}
        59:{1,2,4,6}:{(42,1),(46,1),(75,1),(76,1),(99,1),(100,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(73,1),(78,1),(108,1),(137,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(74,1),(79,1),(109,1),(137,1)}
        62:{3,4,7}:{(45,1),(46,1),(75,1)}
        63:{1,3,5,7}:{(47,1),(49,1),(52,1),(80,1),(82,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(53,1),(81,1),(82,1)}
        65:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(54,1),(80,1),(81,1),(82,1),(111,1),(112,1)}
        66:{1,2,5,6}:{(49,1),(56,1),(80,1),(83,1),(121,1)}
        67:{1,2,5,6}:{(50,1),(57,1),(81,1),(84,1),(121,1)}
        68:{3,5,6}:{(51,1),(58,1),(82,1),(85,1),(93,1),(135,1),(139,1)}
        69:{1,2,4,6,7}:{(52,1),(56,1),(80,1),(86,1),(111,1)}
        70:{1,2,4,6,7}:{(53,1),(57,1),(81,1),(87,1),(112,1)}
        71:{3,6,7}:{(54,1),(58,1),(82,1),(139,1)}
        72:{1,2,4,6,7}:{(55,1),(59,1),(88,1),(89,1),(111,1),(112,1),(133,1),(134,1)}
        73:{2,3,6}:{(56,1),(58,1),(60,1),(139,1)}
        74:{1,3,6}:{(57,1),(58,1),(61,1),(139,1)}
        75:{3,4,6}:{(58,1),(59,1),(62,1),(93,1)}
        76:{1,2,4,5}:{(59,1),(93,1),(115,1),(116,1),(121,1)}
        77:{1,2,3,5,7}:{(60,1),(61,1),(90,1),(94,1),(121,1)}
        78:{2,3,4,7}:{(60,1),(62,1),(91,1),(94,1),(111,1),(131,1)}
        79:{1,3,4,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(131,1)}
        80:{1,2,5,7}:{(63,1),(66,1),(69,1),(95,1)}
        81:{1,2,5,7}:{(64,1),(67,1),(70,1),(96,1)}
        82:{3,5,7}:{(65,1),(68,1),(71,1),(97,1)}
        83:{2,3,5,6}:{(66,1),(68,1),(73,1),(95,1),(99,1),(108,1)}
        84:{1,3,5,6}:{(67,1),(68,1),(74,1),(96,1),(100,1),(109,1)}
        85:{3,4,6}:{(68,1),(97,1),(99,1),(100,1),(101,1)}
        86:{2,3,6,7}:{(69,1),(71,1),(73,1),(95,1)}
        87:{1,3,6,7}:{(70,1),(71,1),(74,1),(96,1)}
        88:{3,4,6,7}:{(71,1),(72,1),(75,1),(97,1),(105,1),(125,1)}
        89:{1,2,4,5,7}:{(72,1),(76,1),(105,1),(106,1),(123,1),(124,1),(128,1)}
        90:{1,2,3,6}:{(73,1),(74,1),(77,1),(107,1)}
        91:{2,3,4,6}:{(73,1),(75,1),(78,1),(99,1),(107,1),(108,1),(126,1)}
        92:{1,3,4,6}:{(74,1),(75,1),(79,1),(100,1),(107,1),(109,1),(126,1)}
        93:{3,5}:{(75,1),(76,1)}
        94:{1,2,4,7}:{(77,1),(78,1),(79,1),(107,1)}
        95:{2,3,5,7}:{(80,1),(82,1),(83,1),(86,1),(111,1)}
        96:{1,3,5,7}:{(81,1),(82,1),(84,1),(87,1),(112,1)}
        97:{3,4,7}:{(82,1),(85,1),(111,1),(112,1)}
        98:{1,2,3,5,6}:{(83,1),(84,1),(90,1),(110,1),(114,1),(121,1),(135,1),(136,1),(139,1)}
        99:{2,4,6}:{(83,1),(85,1),(111,1),(115,1)}
       100:{1,4,6}:{(84,1),(85,1),(112,1),(116,1)}
       101:{3,4,5}:{(85,1),(93,1),(115,1),(116,1),(135,1)}
       102:{1,2,3,6,7}:{(86,1),(87,1),(90,1),(110,1),(117,1),(139,1)}
       103:{2,3,4,6,7}:{(86,1),(88,1),(91,1),(111,1),(117,1),(118,1),(131,1),(133,1),(139,1)}
       104:{1,3,4,6,7}:{(87,1),(88,1),(92,1),(112,1),(117,1),(119,1),(131,1),(134,1),(139,1)}
       105:{3,5,7}:{(88,1),(89,1),(93,1),(120,1)}
       106:{1,2,4,5,6}:{(89,1),(120,1),(133,1),(134,1),(136,1)}
       107:{1,2,4,6}:{(90,1),(91,1),(92,1),(94,1),(121,1)}
       108:{2,3,5}:{(91,1),(93,1),(115,1),(121,1),(135,1)}
       109:{1,3,5}:{(92,1),(93,1),(116,1),(121,1),(135,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(102,1),(122,1),(128,1),(137,1)}
       111:{2,4,7}:{(95,1),(97,1),(99,1)}
       112:{1,4,7}:{(96,1),(97,1),(100,1)}
       113:{3,4,5,7}:{(97,1),(101,1),(105,1),(123,1),(124,1),(125,1),(137,1)}
       114:{1,2,4,6}:{(98,1),(99,1),(100,1),(122,1),(126,1),(127,1)}
       115:{2,4,5}:{(99,1),(101,1),(108,1)}
       116:{1,4,5}:{(100,1),(101,1),(109,1)}
       117:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(107,1),(122,1),(128,1),(138,1)}
       118:{2,3,5,7}:{(103,1),(105,1),(108,1),(123,1),(128,1),(129,1),(137,1)}
       119:{1,3,5,7}:{(104,1),(105,1),(109,1),(124,1),(128,1),(130,1),(137,1)}
       120:{3,5,6}:{(105,1),(106,1),(125,1)}
       121:{1,2,5}:{(107,1),(108,1),(109,1)}
       122:{1,2,4,7}:{(110,1),(111,1),(112,1),(114,1),(131,1)}
       123:{2,4,5,7}:{(111,1),(113,1),(115,1),(118,1),(133,1)}
       124:{1,4,5,7}:{(112,1),(113,1),(116,1),(119,1),(134,1)}
       125:{3,4,6}:{(113,1),(120,1),(133,1),(134,1),(139,1)}
       126:{3,4,6}:{(114,1),(131,1),(135,1),(139,1)}
       127:{1,2,4,5}:{(114,1),(115,1),(116,1),(121,1),(135,1)}
       128:{1,2,5,7}:{(117,1),(118,1),(119,1),(121,1),(136,1)}
       129:{2,3,5,6}:{(118,1),(120,1),(133,1),(136,1),(139,1)}
       130:{1,3,5,6}:{(119,1),(120,1),(134,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(126,1),(137,1)}
       132:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(127,1),(128,1),(137,1),(138,1)}
       133:{2,4,6}:{(123,1),(125,1),(129,1)}
       134:{1,4,6}:{(124,1),(125,1),(130,1)}
       135:{3,5}:{(126,1),(127,1)}
       136:{1,2,5,6}:{(128,1),(129,1),(130,1),(138,1)}
       137:{3,5,7}:{(131,1),(132,1),(135,1),(139,1)}
       138:{1,2,4,6}:{(132,1),(133,1),(134,1),(136,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1433 :   0:{1,2,3,6,7}:{(2,1),(3,1),(45,1),(82,1),(83,1),(84,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(13,1),(14,1),(17,1),(45,1),(47,1),(48,1),(49,1),(82,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(23,1),(26,1),(63,1),(68,1),(69,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(27,1),(93,1),(94,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(60,1),(61,1)}
         5:{3,4,6,7}:{(3,1),(10,1),(11,1),(36,1),(45,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(11,1),(80,1),(81,1)}
         7:{1,2,5,7}:{(3,1),(10,1),(13,1),(100,1),(101,1)}
         8:{3,4,6}:{(4,1),(11,1),(17,1),(45,1)}
         9:{1,2,4,5}:{(4,1),(17,1),(39,1),(40,1),(47,1)}
        10:{3,5,7}:{(5,1),(7,1),(19,1),(20,1)}
        11:{3,4,7}:{(6,1),(8,1),(26,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(19,1),(26,1),(27,1),(54,1),(55,1),(63,1)}
        13:{1,2,5,6}:{(7,1),(20,1),(27,1),(88,1),(89,1)}
        14:{1,2,3,6}:{(21,1),(23,1),(29,1),(95,1)}
        15:{2,3,4,6}:{(8,1),(24,1),(29,1),(30,1),(58,1),(60,1),(64,1),(86,1),(95,1)}
        16:{1,3,4,6}:{(8,1),(25,1),(29,1),(31,1),(58,1),(61,1),(65,1),(86,1),(95,1)}
        17:{3,5}:{(8,1),(9,1)}
        18:{1,2,4,5,6}:{(9,1),(27,1),(32,1),(33,1),(52,1),(60,1),(61,1),(67,1),(88,1),(89,1)}
        19:{4,5,7}:{(10,1),(36,1)}
        20:{3,5,6}:{(10,1),(13,1),(36,1),(45,1)}
        21:{1,2,3,5}:{(14,1),(38,1),(47,1),(78,1)}
        22:{3,4,5}:{(17,1),(39,1),(40,1),(41,1),(78,1)}
        23:{1,2,3,7}:{(14,1),(42,1),(104,1)}
        24:{2,3,4,7}:{(11,1),(15,1),(42,1),(43,1),(73,1),(80,1),(104,1)}
        25:{1,3,4,7}:{(11,1),(16,1),(42,1),(44,1),(73,1),(81,1),(104,1)}
        26:{3,5,7}:{(11,1),(12,1),(17,1),(45,1)}
        27:{1,2,4,6}:{(12,1),(13,1),(36,1),(45,1),(75,1),(76,1),(82,1)}
        28:{1,2,5,6,7}:{(13,1),(37,1),(46,1),(100,1),(101,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(16,1),(38,1),(42,1),(47,1),(82,1)}
        30:{2,3,5}:{(15,1),(17,1),(39,1),(47,1),(78,1),(98,1)}
        31:{1,3,5}:{(16,1),(17,1),(40,1),(47,1),(78,1),(98,1)}
        32:{3,5,6}:{(17,1),(18,1),(41,1),(45,1),(50,1)}
        33:{1,2,4,5,7}:{(18,1),(46,1),(50,1),(72,1),(80,1),(81,1),(85,1),(100,1),(101,1)}
        34:{1,2,3,5,7}:{(21,1),(23,1),(51,1),(53,1),(63,1),(87,1),(91,1)}
        35:{3,4,5,7}:{(19,1),(22,1),(26,1),(54,1),(55,1),(56,1),(62,1),(90,1),(91,1),(105,1),(111,1)}
        36:{4,6}:{(19,1),(20,1)}
        37:{3,5,6,7}:{(20,1),(28,1),(57,1),(66,1),(90,1)}
        38:{1,2,4}:{(21,1),(58,1)}
        39:{2,4,5}:{(22,1),(30,1),(60,1),(105,1)}
        40:{1,4,5}:{(22,1),(31,1),(61,1),(105,1)}
        41:{3,4,6}:{(22,1),(32,1),(60,1),(61,1),(62,1),(95,1)}
        42:{1,2,4,7}:{(23,1),(24,1),(25,1),(29,1),(63,1)}
        43:{2,3,5,7}:{(24,1),(26,1),(30,1),(54,1),(63,1),(64,1),(91,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(31,1),(55,1),(63,1),(65,1),(91,1)}
        45:{3,6}:{(26,1),(27,1)}
        46:{1,2,4,6,7}:{(27,1),(28,1),(33,1),(57,1),(66,1),(93,1),(94,1),(97,1)}
        47:{1,2,5}:{(29,1),(30,1),(31,1)}
        48:{2,3,5,6}:{(30,1),(32,1),(60,1),(64,1),(67,1),(68,1),(88,1),(95,1),(106,1)}
        49:{1,3,5,6}:{(31,1),(32,1),(61,1),(65,1),(67,1),(69,1),(89,1),(95,1),(106,1)}
        50:{3,5,7}:{(32,1),(33,1),(62,1),(66,1)}
        51:{1,2,3,6}:{(34,1),(70,1),(82,1),(102,1)}
        52:{4,5,6}:{(36,1),(71,1),(72,1),(109,1)}
        53:{1,2,4,7}:{(34,1),(38,1),(70,1),(73,1)}
        54:{2,4,5,7}:{(35,1),(39,1),(43,1),(75,1),(80,1),(100,1)}
        55:{1,4,5,7}:{(35,1),(40,1),(44,1),(76,1),(81,1),(101,1)}
        56:{3,4,6}:{(35,1),(36,1),(45,1),(71,1),(75,1),(76,1),(102,1),(109,1)}
        57:{4,6,7}:{(36,1),(37,1),(72,1)}
        58:{3,4}:{(38,1),(78,1)}
        59:{1,2,4,5}:{(38,1),(39,1),(40,1),(47,1),(78,1),(79,1)}
        60:{2,4,6}:{(39,1),(41,1),(48,1),(80,1),(109,1)}
        61:{1,4,6}:{(40,1),(41,1),(49,1),(81,1),(109,1)}
        62:{3,4,7}:{(41,1),(50,1),(80,1),(81,1),(104,1)}
        63:{1,2,5,7}:{(42,1),(43,1),(44,1),(47,1),(82,1)}
        64:{2,3,6}:{(43,1),(45,1),(75,1),(82,1),(102,1)}
        65:{1,3,6}:{(44,1),(45,1),(76,1),(82,1),(102,1)}
        66:{3,6,7}:{(45,1),(46,1),(50,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(49,1),(79,1),(82,1),(85,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(80,1),(83,1),(85,1),(100,1),(104,1),(110,1)}
        69:{1,3,5,7}:{(49,1),(50,1),(81,1),(84,1),(85,1),(101,1),(104,1),(110,1)}
        70:{1,2,4,6}:{(51,1),(53,1),(86,1),(87,1)}
        71:{3,5,6}:{(52,1),(56,1),(88,1),(89,1),(90,1)}
        72:{4,5,7}:{(52,1),(57,1),(90,1),(111,1)}
        73:{3,4,7}:{(53,1),(58,1),(86,1),(91,1),(111,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(59,1),(63,1),(87,1),(91,1),(92,1),(96,1),(105,1),(107,1),(111,1)}
        75:{2,4,6}:{(54,1),(56,1),(64,1),(88,1)}
        76:{1,4,6}:{(55,1),(56,1),(65,1),(89,1)}
        77:{3,4,6,7}:{(56,1),(57,1),(62,1),(66,1),(90,1),(93,1),(94,1),(108,1),(111,1)}
        78:{3,5}:{(58,1),(59,1),(95,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(67,1),(95,1),(96,1)}
        80:{2,4,7}:{(60,1),(62,1),(68,1),(111,1)}
        81:{1,4,7}:{(61,1),(62,1),(69,1),(111,1)}
        82:{1,2,6}:{(63,1),(64,1),(65,1)}
        83:{2,3,6,7}:{(64,1),(66,1),(68,1),(93,1),(97,1),(108,1)}
        84:{1,3,6,7}:{(65,1),(66,1),(69,1),(94,1),(97,1),(108,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(96,1),(97,1)}
        86:{3,4,6}:{(70,1),(73,1),(98,1),(102,1),(109,1)}
        87:{1,2,5}:{(70,1),(98,1)}
        88:{2,5,6}:{(71,1),(75,1),(100,1)}
        89:{1,5,6}:{(71,1),(76,1),(101,1)}
        90:{3,5,7}:{(71,1),(72,1),(77,1),(100,1),(101,1)}
        91:{3,5,7}:{(73,1),(74,1),(78,1),(98,1),(102,1),(104,1)}
        92:{1,2,4,6}:{(74,1),(75,1),(76,1),(82,1),(99,1),(102,1),(109,1)}
        93:{2,4,6,7}:{(75,1),(77,1),(80,1),(83,1),(100,1)}
        94:{1,4,6,7}:{(76,1),(77,1),(81,1),(84,1),(101,1)}
        95:{3,6}:{(78,1),(79,1),(104,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(85,1),(104,1)}
        97:{1,2,6,7}:{(82,1),(83,1),(84,1),(85,1)}
        98:{3,5}:{(86,1),(87,1),(105,1)}
        99:{1,2,5,6}:{(87,1),(88,1),(89,1),(92,1),(106,1),(107,1)}
       100:{2,5,7}:{(88,1),(90,1),(93,1)}
       101:{1,5,7}:{(89,1),(90,1),(94,1)}
       102:{3,6}:{(91,1),(92,1)}
       103:{1,2,4,6,7}:{(92,1),(93,1),(94,1),(96,1),(97,1),(107,1),(108,1),(111,1)}
       104:{3,7}:{(95,1),(96,1)}
       105:{4,5}:{(98,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(102,1),(109,1),(110,1)}
       107:{1,2,5,7}:{(99,1),(100,1),(101,1),(103,1),(110,1)}
       108:{3,6,7}:{(102,1),(103,1),(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1434 :   0:{2,3,4,5,7}:{(1,1),(2,1),(15,1),(51,1),(111,1),(127,1),(131,1),(164,1),(171,1),(179,1)}
         1:{2,3,4,6}:{(0,1),(7,1),(8,1),(99,1),(186,1),(191,1),(195,1)}
         2:{1,2,4,5,7}:{(0,1),(8,1),(9,1),(29,1),(37,1),(88,1),(96,1),(100,1)}
         3:{1,3,4,5,7}:{(10,1),(11,1),(21,1),(45,1),(69,1),(128,1),(163,1),(167,1),(171,1),(199,1)}
         4:{2,4,5,6,7}:{(13,1),(60,1),(198,1)}
         5:{2,3,4,6,7}:{(1,1),(15,1),(16,1),(60,1),(124,1),(127,1),(176,1)}
         6:{3,4,5,6}:{(14,1),(17,1),(18,1),(67,1),(167,1),(200,1)}
         7:{2,3,5,6}:{(1,1),(15,1),(18,1),(19,1),(67,1),(111,1),(204,1)}
         8:{1,2,4,6}:{(1,1),(2,1),(19,1),(20,1),(68,1)}
         9:{1,3,5,7}:{(2,1),(20,1),(21,1),(69,1),(171,1)}
        10:{1,3,4,6}:{(3,1),(25,1),(26,1),(140,1),(157,1),(191,1),(207,1)}
        11:{1,2,4,5,7}:{(3,1),(26,1),(27,1),(29,1),(75,1),(88,1),(137,1),(141,1)}
        12:{1,2,3,5,7}:{(9,1),(27,1),(28,1),(29,1),(88,1)}
        13:{3,5,6,7}:{(4,1),(32,1),(33,1),(206,1)}
        14:{3,4,5,7}:{(6,1),(32,1),(35,1),(36,1),(95,1)}
        15:{2,3,5,7}:{(5,1),(7,1),(36,1),(37,1),(95,1),(193,1)}
        16:{1,2,4,6,7}:{(5,1),(8,1),(37,1),(38,1),(96,1)}
        17:{1,4,5,6}:{(6,1),(35,1),(39,1),(187,1),(207,1)}
        18:{2,4,5,6}:{(6,1),(7,1),(36,1),(141,1),(186,1)}
        19:{1,2,5,6}:{(7,1),(8,1),(37,1),(41,1),(88,1)}
        20:{1,3,6}:{(8,1),(9,1),(191,1)}
        21:{1,3,4,7}:{(9,1),(29,1),(42,1),(96,1),(144,1)}
        22:{1,4,5,6,7}:{(43,1),(101,1),(178,1)}
        23:{1,3,4,6,7}:{(10,1),(45,1),(46,1),(101,1),(160,1),(163,1),(196,1)}
        24:{3,4,5,6}:{(44,1),(47,1),(48,1),(109,1),(131,1),(180,1)}
        25:{1,3,5,6}:{(10,1),(45,1),(47,1),(49,1),(69,1),(109,1),(209,1)}
        26:{1,2,4,6}:{(10,1),(11,1),(49,1),(50,1),(110,1)}
        27:{2,3,5,7}:{(11,1),(50,1),(51,1),(111,1),(171,1)}
        28:{1,2,3,6}:{(12,1),(20,1),(50,1),(56,1)}
        29:{1,2,4,7}:{(12,1),(21,1),(51,1),(56,1)}
        30:{1,3,4,5}:{(53,1),(57,1),(122,1),(131,1),(175,1)}
        31:{2,3,4,5}:{(54,1),(58,1),(121,1),(167,1),(174,1)}
        32:{3,4,6,7}:{(13,1),(14,1),(59,1),(60,1),(124,1),(200,1)}
        33:{1,5,6,7}:{(13,1),(59,1),(209,1)}
        34:{2,3,5,6,7}:{(13,1),(15,1),(60,1),(61,1),(124,1),(165,1)}
        35:{1,4,5,7}:{(14,1),(17,1),(59,1),(62,1)}
        36:{2,4,5,7}:{(14,1),(15,1),(18,1),(60,1)}
        37:{1,2,5,7}:{(15,1),(16,1),(19,1),(64,1)}
        38:{1,3,6,7}:{(16,1),(20,1),(64,1),(124,1)}
        39:{1,3,5,6}:{(17,1),(53,1),(62,1),(66,1),(67,1),(175,1),(203,1)}
        40:{1,2,4,5,6}:{(17,1),(18,1),(19,1),(63,1),(66,1),(67,1),(68,1),(119,1),(130,1),(172,1),(178,1),(204,1)}
        41:{1,3,5,6}:{(19,1),(20,1),(64,1),(67,1),(68,1),(69,1)}
        42:{1,3,4,6}:{(20,1),(21,1),(56,1),(68,1),(69,1),(118,1)}
        43:{3,5,6,7}:{(22,1),(70,1),(72,1),(194,1)}
        44:{3,4,5,7}:{(24,1),(70,1),(73,1),(74,1),(136,1)}
        45:{1,3,5,7}:{(23,1),(25,1),(73,1),(75,1),(136,1),(205,1)}
        46:{1,2,4,6,7}:{(23,1),(26,1),(75,1),(76,1),(137,1)}
        47:{1,4,5,6}:{(24,1),(25,1),(73,1),(100,1),(157,1)}
        48:{2,4,5,6}:{(24,1),(74,1),(77,1),(158,1),(195,1)}
        49:{1,2,5,6}:{(25,1),(26,1),(75,1),(79,1),(88,1)}
        50:{2,3,6}:{(26,1),(27,1),(191,1)}
        51:{2,3,4,7}:{(27,1),(29,1),(80,1),(137,1),(144,1)}
        52:{1,2,3,6,7}:{(28,1),(38,1),(76,1),(83,1),(84,1),(152,1),(181,1),(191,1),(208,1)}
        53:{1,3,4,6}:{(30,1),(39,1),(81,1),(85,1),(99,1)}
        54:{2,3,4,6}:{(31,1),(77,1),(82,1),(86,1),(140,1)}
        55:{1,2,3,5,6}:{(28,1),(41,1),(79,1),(83,1),(87,1),(88,1),(98,1),(139,1),(146,1),(147,1),(150,1),(191,1),(192,1),(208,1)}
        56:{1,2,4,6}:{(28,1),(29,1),(42,1),(80,1),(88,1)}
        57:{1,2,4,5}:{(30,1),(85,1),(89,1),(151,1),(158,1),(192,1)}
        58:{1,2,4,5}:{(31,1),(86,1),(90,1),(151,1),(187,1),(192,1)}
        59:{1,4,6,7}:{(32,1),(33,1),(35,1),(91,1),(207,1)}
        60:{2,4,6,7}:{(32,1),(34,1),(36,1),(186,1)}
        61:{1,2,5,6,7}:{(33,1),(34,1),(37,1),(92,1),(93,1),(146,1),(193,1)}
        62:{1,3,5,7}:{(35,1),(39,1),(81,1),(91,1),(94,1),(95,1)}
        63:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(40,1),(92,1),(94,1),(95,1),(96,1),(154,1),(155,1),(193,1)}
        64:{1,3,5,7}:{(37,1),(38,1),(41,1),(95,1),(96,1)}
        65:{1,3,4,6,7}:{(38,1),(42,1),(84,1),(96,1),(97,1),(144,1),(153,1),(157,1),(191,1)}
        66:{1,2,5,6}:{(39,1),(85,1),(94,1),(98,1),(192,1),(208,1)}
        67:{3,5,6}:{(40,1),(95,1),(99,1),(150,1),(191,1)}
        68:{1,4,6}:{(41,1),(96,1),(99,1),(100,1)}
        69:{1,3,5}:{(42,1),(88,1),(100,1),(150,1)}
        70:{3,4,6,7}:{(43,1),(44,1),(101,1),(102,1),(160,1),(180,1)}
        71:{1,3,5,6,7}:{(43,1),(45,1),(101,1),(103,1),(129,1),(160,1)}
        72:{2,5,6,7}:{(43,1),(102,1),(204,1)}
        73:{1,4,5,7}:{(44,1),(45,1),(47,1),(101,1)}
        74:{2,4,5,7}:{(44,1),(48,1),(102,1),(104,1)}
        75:{1,2,5,7}:{(45,1),(46,1),(49,1),(106,1)}
        76:{2,3,6,7}:{(46,1),(50,1),(106,1),(160,1)}
        77:{2,3,5,6}:{(48,1),(54,1),(104,1),(108,1),(109,1),(174,1),(202,1)}
        78:{1,2,4,5,6}:{(47,1),(48,1),(49,1),(105,1),(108,1),(109,1),(110,1),(119,1),(166,1),(172,1),(198,1),(209,1)}
        79:{2,3,5,6}:{(49,1),(50,1),(106,1),(109,1),(110,1),(111,1)}
        80:{2,3,4,6}:{(50,1),(51,1),(56,1),(110,1),(111,1),(118,1)}
        81:{1,3,4,7}:{(53,1),(62,1),(112,1),(127,1)}
        82:{2,3,4,7}:{(54,1),(104,1),(113,1),(163,1)}
        83:{1,2,3,5,7}:{(52,1),(55,1),(64,1),(106,1),(114,1),(115,1),(126,1),(162,1),(168,1),(171,1),(201,1)}
        84:{1,2,4,6,7}:{(52,1),(56,1),(65,1),(107,1),(114,1),(115,1),(172,1),(176,1),(196,1)}
        85:{1,2,4,6}:{(53,1),(57,1),(66,1),(112,1),(116,1),(130,1)}
        86:{1,2,4,6}:{(54,1),(58,1),(108,1),(113,1),(117,1),(166,1)}
        87:{1,2,4,6}:{(55,1),(68,1),(110,1),(114,1),(118,1),(119,1),(130,1),(166,1)}
        88:{1,2,5}:{(56,1),(69,1),(111,1)}
        89:{2,3,5}:{(57,1),(116,1),(121,1)}
        90:{1,3,5}:{(58,1),(117,1),(122,1)}
        91:{1,3,6,7}:{(59,1),(62,1),(123,1),(124,1),(203,1)}
        92:{1,2,4,6,7}:{(59,1),(60,1),(61,1),(63,1),(123,1),(124,1),(125,1),(172,1),(176,1)}
        93:{1,3,5,6,7}:{(61,1),(64,1),(124,1),(125,1),(129,1),(177,1)}
        94:{1,2,5,7}:{(62,1),(66,1),(112,1),(123,1),(126,1)}
        95:{3,5,7}:{(63,1),(67,1),(124,1),(127,1)}
        96:{1,4,7}:{(64,1),(68,1),(127,1)}
        97:{1,3,5,7}:{(65,1),(69,1),(115,1),(128,1),(129,1),(171,1),(177,1)}
        98:{2,3,5,6}:{(66,1),(67,1),(116,1),(126,1),(130,1),(174,1),(202,1),(204,1)}
        99:{3,4,6}:{(67,1),(68,1),(127,1),(130,1),(131,1)}
       100:{1,4,5}:{(68,1),(69,1),(131,1)}
       101:{1,4,6,7}:{(70,1),(71,1),(73,1),(157,1)}
       102:{2,4,6,7}:{(70,1),(72,1),(74,1),(132,1),(195,1)}
       103:{1,2,5,6,7}:{(71,1),(72,1),(75,1),(133,1),(134,1),(146,1),(205,1)}
       104:{2,3,5,7}:{(74,1),(77,1),(82,1),(132,1),(135,1),(136,1)}
       105:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(78,1),(133,1),(135,1),(136,1),(137,1),(183,1),(184,1),(205,1)}
       106:{2,3,5,7}:{(75,1),(76,1),(79,1),(136,1),(137,1)}
       107:{2,3,4,6,7}:{(76,1),(80,1),(84,1),(137,1),(138,1),(144,1),(182,1),(186,1),(191,1)}
       108:{1,2,5,6}:{(77,1),(86,1),(135,1),(139,1),(192,1),(208,1)}
       109:{3,5,6}:{(78,1),(136,1),(140,1),(150,1),(191,1)}
       110:{2,4,6}:{(79,1),(137,1),(140,1),(141,1)}
       111:{2,3,5}:{(80,1),(88,1),(141,1),(150,1)}
       112:{1,2,4,7}:{(81,1),(85,1),(94,1),(142,1),(155,1)}
       113:{1,2,4,7}:{(82,1),(86,1),(135,1),(143,1),(184,1)}
       114:{1,2,4,7}:{(83,1),(87,1),(96,1),(137,1),(144,1),(155,1),(184,1)}
       115:{1,2,5,7}:{(84,1),(88,1),(97,1),(138,1),(146,1),(193,1),(205,1)}
       116:{2,3,6}:{(85,1),(89,1),(142,1)}
       117:{1,3,6}:{(86,1),(90,1),(143,1)}
       118:{3,4,6}:{(87,1),(144,1),(150,1),(191,1)}
       119:{1,2,4,5}:{(87,1),(88,1),(100,1),(141,1),(150,1),(158,1),(187,1),(192,1)}
       120:{1,2,3,5}:{(89,1),(90,1),(147,1),(151,1),(192,1)}
       121:{2,3,4}:{(89,1),(151,1)}
       122:{1,3,4}:{(90,1),(151,1)}
       123:{1,2,6,7}:{(91,1),(94,1),(152,1),(208,1)}
       124:{3,6,7}:{(92,1),(95,1),(191,1)}
       125:{1,4,6,7}:{(93,1),(96,1),(153,1),(154,1),(157,1)}
       126:{2,3,5,7}:{(94,1),(95,1),(98,1),(142,1),(152,1),(155,1),(193,1)}
       127:{3,4,7}:{(95,1),(96,1),(99,1),(155,1)}
       128:{1,4,5,7}:{(96,1),(97,1),(100,1),(156,1),(157,1)}
       129:{1,3,5,6}:{(97,1),(146,1),(157,1),(191,1),(194,1)}
       130:{2,4,6}:{(98,1),(99,1),(155,1),(158,1)}
       131:{3,4,5}:{(99,1),(100,1),(150,1),(158,1)}
       132:{2,3,6,7}:{(102,1),(104,1),(159,1),(160,1),(202,1)}
       133:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(105,1),(159,1),(160,1),(161,1),(172,1),(196,1)}
       134:{2,3,5,6,7}:{(103,1),(106,1),(160,1),(161,1),(165,1),(197,1)}
       135:{1,2,5,7}:{(104,1),(108,1),(113,1),(159,1),(162,1)}
       136:{3,5,7}:{(105,1),(109,1),(160,1),(163,1)}
       137:{2,4,7}:{(106,1),(110,1),(163,1)}
       138:{2,3,5,7}:{(107,1),(111,1),(115,1),(164,1),(165,1),(171,1),(197,1)}
       139:{1,3,5,6}:{(108,1),(109,1),(117,1),(162,1),(166,1),(175,1),(203,1),(209,1)}
       140:{3,4,6}:{(109,1),(110,1),(163,1),(166,1),(167,1)}
       141:{2,4,5}:{(110,1),(111,1),(167,1)}
       142:{2,3,7}:{(112,1),(116,1)}
       143:{1,3,7}:{(113,1),(117,1)}
       144:{3,4,7}:{(114,1),(118,1),(171,1)}
       145:{1,2,4,5,7}:{(114,1),(115,1),(119,1),(128,1),(164,1),(171,1),(172,1),(179,1),(199,1),(201,1)}
       146:{1,2,5,6}:{(115,1),(129,1),(165,1),(172,1),(204,1),(209,1)}
       147:{1,2,3,6}:{(116,1),(117,1),(120,1),(168,1),(173,1)}
       148:{2,3,4,6}:{(116,1),(118,1),(121,1),(130,1),(169,1),(173,1),(174,1),(202,1)}
       149:{1,3,4,6}:{(117,1),(118,1),(122,1),(166,1),(170,1),(173,1),(175,1),(203,1)}
       150:{3,5}:{(118,1),(119,1)}
       151:{1,2,4}:{(120,1),(121,1),(122,1)}
       152:{2,3,6,7}:{(123,1),(124,1),(126,1),(176,1),(202,1)}
       153:{3,4,6,7}:{(124,1),(125,1),(127,1),(176,1),(177,1),(180,1)}
       154:{1,4,5,7}:{(125,1),(177,1),(178,1)}
       155:{2,4,7}:{(126,1),(127,1),(130,1)}
       156:{3,4,5,7}:{(127,1),(128,1),(131,1),(171,1),(177,1),(179,1),(180,1)}
       157:{1,4,6}:{(128,1),(129,1),(180,1)}
       158:{2,4,5}:{(130,1),(131,1),(174,1)}
       159:{1,2,6,7}:{(132,1),(135,1),(181,1),(208,1)}
       160:{3,6,7}:{(133,1),(136,1),(191,1)}
       161:{2,4,6,7}:{(134,1),(137,1),(182,1),(183,1),(186,1)}
       162:{1,3,5,7}:{(135,1),(136,1),(139,1),(143,1),(181,1),(184,1),(205,1)}
       163:{3,4,7}:{(136,1),(137,1),(140,1),(184,1)}
       164:{2,4,5,7}:{(137,1),(138,1),(141,1),(185,1),(186,1)}
       165:{2,3,5,6}:{(138,1),(146,1),(186,1),(191,1),(206,1)}
       166:{1,4,6}:{(139,1),(140,1),(184,1),(187,1)}
       167:{3,4,5}:{(140,1),(141,1),(150,1),(187,1)}
       168:{1,2,3,7}:{(142,1),(143,1),(147,1),(188,1)}
       169:{2,3,4,7}:{(142,1),(144,1),(148,1),(155,1),(188,1),(189,1)}
       170:{1,3,4,7}:{(143,1),(144,1),(149,1),(184,1),(188,1),(190,1)}
       171:{3,5,7}:{(144,1),(145,1),(150,1),(191,1)}
       172:{1,2,4,6}:{(145,1),(146,1),(157,1),(186,1),(191,1),(195,1),(207,1),(208,1)}
       173:{1,2,4,6}:{(147,1),(148,1),(149,1),(151,1),(188,1),(192,1),(208,1)}
       174:{2,3,5}:{(148,1),(150,1),(158,1),(192,1)}
       175:{1,3,5}:{(149,1),(150,1),(187,1),(192,1)}
       176:{2,4,6,7}:{(152,1),(153,1),(155,1),(193,1),(195,1)}
       177:{3,5,7}:{(153,1),(154,1),(193,1),(194,1)}
       178:{1,4,5,6}:{(154,1),(157,1),(194,1)}
       179:{2,4,5,7}:{(155,1),(156,1),(158,1),(189,1),(193,1),(195,1)}
       180:{3,4,6}:{(156,1),(157,1),(191,1),(194,1),(195,1)}
       181:{1,3,6,7}:{(159,1),(160,1),(162,1),(196,1),(203,1)}
       182:{3,4,6,7}:{(160,1),(161,1),(163,1),(196,1),(197,1),(200,1)}
       183:{2,4,5,7}:{(161,1),(197,1),(198,1)}
       184:{1,4,7}:{(162,1),(163,1),(166,1)}
       185:{3,4,5,7}:{(163,1),(164,1),(167,1),(171,1),(197,1),(199,1),(200,1)}
       186:{2,4,6}:{(164,1),(165,1),(200,1)}
       187:{1,4,5}:{(166,1),(167,1),(175,1)}
       188:{1,2,4,7}:{(168,1),(169,1),(170,1),(173,1),(201,1)}
       189:{2,3,5,7}:{(169,1),(171,1),(174,1),(179,1),(201,1),(202,1)}
       190:{1,3,5,7}:{(170,1),(171,1),(175,1),(199,1),(201,1),(203,1)}
       191:{3,6}:{(171,1),(172,1)}
       192:{1,2,5}:{(173,1),(174,1),(175,1)}
       193:{2,5,7}:{(176,1),(177,1),(204,1)}
       194:{3,5,6}:{(177,1),(178,1),(180,1),(204,1)}
       195:{2,4,6}:{(179,1),(180,1),(202,1),(204,1)}
       196:{1,4,6,7}:{(181,1),(182,1),(184,1),(205,1),(207,1)}
       197:{3,5,7}:{(182,1),(183,1),(205,1),(206,1)}
       198:{2,4,5,6}:{(183,1),(186,1),(206,1)}
       199:{1,4,5,7}:{(184,1),(185,1),(187,1),(190,1),(205,1),(207,1)}
       200:{3,4,6}:{(185,1),(186,1),(191,1),(206,1),(207,1)}
       201:{1,2,5,7}:{(188,1),(189,1),(190,1),(192,1),(208,1)}
       202:{2,3,6}:{(189,1),(191,1),(195,1),(208,1)}
       203:{1,3,6}:{(190,1),(191,1),(207,1),(208,1)}
       204:{2,5,6}:{(193,1),(194,1),(195,1)}
       205:{1,5,7}:{(196,1),(197,1),(209,1)}
       206:{3,5,6}:{(197,1),(198,1),(200,1),(209,1)}
       207:{1,4,6}:{(199,1),(200,1),(203,1),(209,1)}
       208:{1,2,6}:{(201,1),(202,1),(203,1)}
       209:{1,5,6}:{(205,1),(206,1),(207,1)}

1435 :   0:{2,3,4,6,7}:{(1,1),(2,1),(14,1),(24,1),(49,1),(51,1),(61,1),(90,1),(97,1),(117,1),(125,1)}
         1:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(29,1),(31,1),(42,1),(81,1),(114,1),(128,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(32,1),(39,1),(108,1),(127,1)}
         3:{1,3,5,6,7}:{(10,1),(11,1),(25,1),(28,1),(38,1),(40,1),(79,1)}
         4:{2,3,5,6,7}:{(5,1),(10,1),(12,1),(39,1),(40,1),(62,1),(80,1)}
         5:{2,3,5,6}:{(2,1),(13,1),(14,1),(47,1),(49,1)}
         6:{1,3,6,7}:{(1,1),(15,1),(49,1),(125,1),(134,1)}
         7:{1,2,5,7}:{(1,1),(2,1),(13,1),(15,1),(59,1),(133,1)}
         8:{2,4,5,7}:{(2,1),(14,1),(17,1),(97,1),(120,1)}
         9:{1,3,4,6,7}:{(18,1),(19,1),(23,1),(44,1),(60,1),(83,1),(89,1),(93,1),(96,1),(116,1),(125,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(13,1),(22,1),(43,1),(58,1),(59,1),(98,1)}
        11:{1,4,6,7}:{(3,1),(20,1),(23,1),(44,1),(48,1),(96,1)}
        12:{2,4,6,7}:{(4,1),(14,1),(21,1),(24,1),(82,1),(97,1)}
        13:{1,2,5,6}:{(5,1),(7,1),(28,1),(29,1),(67,1),(108,1)}
        14:{2,4,6}:{(5,1),(8,1),(30,1)}
        15:{1,3,5,7}:{(6,1),(7,1),(28,1),(31,1),(32,1),(137,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(29,1),(31,1),(32,1),(33,1),(68,1),(73,1),(74,1),(108,1),(114,1),(129,1)}
        17:{3,4,5,7}:{(8,1),(30,1),(32,1),(33,1),(39,1),(78,1),(103,1)}
        18:{1,2,4,6,7}:{(9,1),(34,1),(35,1),(41,1),(63,1),(75,1),(81,1),(109,1),(114,1)}
        19:{1,3,5,7}:{(9,1),(25,1),(35,1),(36,1),(38,1),(76,1),(107,1),(126,1)}
        20:{1,4,5,7}:{(11,1),(26,1),(38,1),(68,1)}
        21:{2,4,5,7}:{(12,1),(27,1),(39,1),(99,1)}
        22:{1,2,4,6,7}:{(10,1),(11,1),(12,1),(29,1),(37,1),(40,1),(41,1),(42,1),(63,1),(81,1),(114,1)}
        23:{3,4,6,7}:{(11,1),(38,1),(40,1),(41,1),(64,1),(69,1),(78,1)}
        24:{3,4,6,7}:{(12,1),(30,1),(39,1),(40,1),(42,1),(78,1),(100,1)}
        25:{1,3,5,6}:{(19,1),(43,1),(44,1),(46,1),(83,1)}
        26:{1,4,5,6}:{(20,1),(44,1),(46,1)}
        27:{2,4,5,6}:{(14,1),(21,1),(47,1)}
        28:{1,3,5,6}:{(13,1),(15,1),(48,1),(49,1),(88,1)}
        29:{1,2,4,6}:{(13,1),(14,1),(16,1),(48,1),(49,1),(50,1),(90,1),(91,1)}
        30:{3,4,6}:{(14,1),(17,1),(47,1),(49,1),(50,1)}
        31:{1,4,7}:{(15,1),(48,1),(51,1),(139,1)}
        32:{3,5,7}:{(16,1),(49,1),(51,1),(88,1),(125,1),(135,1)}
        33:{1,4,5,7}:{(17,1),(50,1),(52,1),(59,1),(96,1),(119,1)}
        34:{2,3,6,7}:{(18,1),(54,1),(83,1),(123,1),(125,1)}
        35:{1,2,5,7}:{(18,1),(19,1),(43,1),(54,1),(58,1),(122,1)}
        36:{1,4,5,7}:{(19,1),(44,1),(56,1),(96,1),(119,1)}
        37:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(45,1),(57,1),(58,1),(59,1),(96,1),(97,1),(98,1)}
        38:{3,5,7}:{(20,1),(23,1),(46,1),(58,1),(88,1)}
        39:{3,5,7}:{(21,1),(24,1),(47,1),(59,1),(115,1)}
        40:{3,6,7}:{(22,1),(49,1),(57,1),(83,1),(125,1)}
        41:{2,4,6,7}:{(23,1),(58,1),(61,1),(84,1),(90,1),(97,1)}
        42:{1,4,6,7}:{(24,1),(50,1),(59,1),(60,1),(96,1),(116,1)}
        43:{1,2,5,6}:{(25,1),(35,1),(62,1),(63,1),(66,1),(126,1)}
        44:{1,4,6}:{(25,1),(36,1),(64,1)}
        45:{1,2,4,5,6}:{(26,1),(27,1),(29,1),(37,1),(63,1),(65,1),(66,1),(67,1),(68,1),(99,1),(104,1),(105,1),(106,1),(108,1),(126,1),(129,1)}
        46:{3,5,6}:{(26,1),(38,1),(64,1),(66,1)}
        47:{3,5,6}:{(27,1),(30,1),(39,1),(67,1)}
        48:{1,4,6}:{(28,1),(31,1),(68,1),(69,1)}
        49:{3,6}:{(29,1),(32,1)}
        50:{1,4,6}:{(30,1),(33,1),(67,1),(70,1)}
        51:{3,4,7}:{(31,1),(32,1),(69,1),(73,1),(138,1)}
        52:{1,3,5,7}:{(32,1),(33,1),(70,1),(72,1),(74,1),(107,1)}
        53:{2,3,5,7}:{(32,1),(71,1),(73,1),(74,1),(108,1),(110,1),(131,1)}
        54:{2,3,5,7}:{(34,1),(35,1),(62,1),(75,1),(76,1),(131,1)}
        55:{1,2,4,5,7}:{(35,1),(36,1),(63,1),(75,1),(76,1),(77,1),(99,1),(111,1),(113,1),(114,1),(126,1),(129,1)}
        56:{3,4,5,7}:{(36,1),(38,1),(64,1),(76,1),(77,1),(78,1),(103,1)}
        57:{3,5,7}:{(37,1),(40,1),(65,1),(78,1)}
        58:{2,5,7}:{(38,1),(41,1),(66,1),(108,1)}
        59:{1,5,7}:{(39,1),(42,1),(67,1),(126,1)}
        60:{1,3,6,7}:{(40,1),(42,1),(70,1),(79,1),(81,1),(101,1)}
        61:{2,3,6,7}:{(40,1),(41,1),(71,1),(80,1),(81,1),(102,1)}
        62:{2,3,5,6}:{(43,1),(54,1),(82,1),(83,1),(115,1)}
        63:{1,2,4,6}:{(43,1),(44,1),(55,1),(82,1),(83,1),(84,1),(116,1),(118,1)}
        64:{3,4,6}:{(44,1),(46,1),(56,1),(83,1),(84,1)}
        65:{3,5,6}:{(45,1),(49,1),(57,1),(83,1),(85,1),(88,1),(115,1),(135,1)}
        66:{2,5,6}:{(46,1),(58,1),(84,1)}
        67:{1,5,6}:{(47,1),(50,1),(59,1)}
        68:{1,4,5}:{(48,1),(88,1)}
        69:{3,4,6}:{(48,1),(49,1),(51,1),(88,1),(90,1)}
        70:{1,3,6}:{(49,1),(50,1),(52,1),(91,1)}
        71:{2,3,6}:{(49,1),(53,1),(90,1),(91,1)}
        72:{1,3,4,7}:{(51,1),(52,1),(89,1),(92,1),(96,1),(125,1)}
        73:{2,4,7}:{(51,1),(53,1),(90,1),(136,1)}
        74:{1,2,5,7}:{(52,1),(53,1),(91,1),(92,1),(122,1)}
        75:{2,4,7}:{(54,1),(82,1),(93,1),(136,1)}
        76:{3,5,7}:{(55,1),(83,1),(93,1),(115,1),(125,1),(135,1)}
        77:{2,4,5,7}:{(56,1),(58,1),(84,1),(95,1),(97,1),(120,1)}
        78:{3,4,7}:{(57,1),(85,1),(96,1),(97,1),(125,1)}
        79:{1,3,5,7}:{(57,1),(59,1),(60,1),(86,1),(96,1),(98,1),(125,1)}
        80:{2,3,5,7}:{(57,1),(58,1),(61,1),(87,1),(97,1),(98,1),(125,1)}
        81:{1,2,6,7}:{(60,1),(61,1),(91,1),(98,1),(118,1)}
        82:{2,4,6}:{(62,1),(75,1),(99,1),(100,1)}
        83:{3,6}:{(63,1),(76,1)}
        84:{2,4,6}:{(64,1),(66,1),(77,1),(102,1)}
        85:{3,4,6}:{(65,1),(78,1),(103,1),(104,1),(105,1),(130,1),(138,1)}
        86:{1,3,5,6}:{(65,1),(67,1),(70,1),(79,1),(101,1),(104,1),(106,1),(107,1),(126,1),(130,1),(137,1)}
        87:{2,3,5,6}:{(65,1),(66,1),(71,1),(80,1),(102,1),(105,1),(106,1),(108,1),(127,1),(130,1),(131,1)}
        88:{3,5}:{(68,1),(69,1),(108,1)}
        89:{1,3,4,6}:{(69,1),(70,1),(72,1),(104,1),(107,1),(109,1),(130,1),(138,1)}
        90:{2,4,6}:{(69,1),(71,1),(73,1),(108,1)}
        91:{1,2,6}:{(70,1),(71,1),(74,1)}
        92:{1,2,4,7}:{(72,1),(73,1),(74,1),(109,1),(110,1)}
        93:{3,4,7}:{(75,1),(76,1),(100,1),(111,1),(138,1)}
        94:{1,3,5,7}:{(76,1),(101,1),(111,1),(113,1),(126,1),(132,1),(137,1)}
        95:{2,3,5,7}:{(76,1),(77,1),(102,1),(112,1),(113,1),(127,1)}
        96:{1,4,7}:{(78,1),(79,1),(104,1)}
        97:{2,4,7}:{(78,1),(80,1),(105,1)}
        98:{1,2,5,7}:{(79,1),(80,1),(81,1),(106,1),(114,1)}
        99:{2,4,5}:{(82,1),(115,1)}
       100:{3,4,6}:{(82,1),(83,1),(93,1),(115,1),(116,1)}
       101:{1,3,6}:{(83,1),(94,1),(116,1),(118,1)}
       102:{2,3,6}:{(83,1),(84,1),(95,1),(118,1)}
       103:{3,4,5}:{(85,1),(88,1),(115,1),(119,1),(120,1),(135,1)}
       104:{1,4,6}:{(85,1),(86,1),(96,1),(119,1),(139,1)}
       105:{2,4,6}:{(85,1),(87,1),(97,1),(120,1),(136,1)}
       106:{1,2,5,6}:{(86,1),(87,1),(91,1),(98,1),(118,1),(121,1),(122,1),(133,1)}
       107:{1,3,5}:{(88,1),(89,1),(119,1),(122,1),(135,1)}
       108:{2,5}:{(88,1),(90,1)}
       109:{1,2,4,6}:{(89,1),(90,1),(91,1),(92,1),(122,1),(123,1),(136,1)}
       110:{2,3,7}:{(92,1),(123,1),(125,1)}
       111:{1,4,7}:{(93,1),(94,1),(116,1),(139,1)}
       112:{2,3,4,7}:{(93,1),(95,1),(97,1),(117,1),(124,1),(125,1)}
       113:{1,2,5,7}:{(94,1),(95,1),(118,1),(124,1),(133,1)}
       114:{1,2,4,7}:{(96,1),(97,1),(98,1),(121,1),(125,1)}
       115:{3,5}:{(99,1),(100,1),(126,1)}
       116:{1,4,6}:{(100,1),(101,1),(111,1),(126,1)}
       117:{2,3,4,6}:{(100,1),(102,1),(105,1),(112,1),(127,1),(128,1),(130,1),(138,1)}
       118:{1,2,6}:{(101,1),(102,1),(113,1)}
       119:{1,4,5}:{(103,1),(104,1),(107,1),(126,1)}
       120:{2,4,5}:{(103,1),(105,1),(108,1),(127,1)}
       121:{1,2,4,6}:{(104,1),(105,1),(106,1),(114,1),(129,1),(130,1)}
       122:{1,2,5}:{(107,1),(108,1),(109,1),(131,1)}
       123:{2,3,6}:{(109,1),(110,1),(130,1),(131,1)}
       124:{1,2,4,7}:{(111,1),(112,1),(113,1),(128,1),(132,1)}
       125:{3,7}:{(114,1),(130,1)}
       126:{1,5}:{(115,1),(116,1)}
       127:{2,3,5}:{(115,1),(117,1),(120,1),(133,1),(135,1)}
       128:{1,2,4,6}:{(116,1),(117,1),(118,1),(124,1),(133,1),(134,1),(139,1)}
       129:{1,2,4,5}:{(119,1),(120,1),(121,1),(122,1),(133,1),(135,1),(136,1),(139,1)}
       130:{3,6}:{(121,1),(125,1),(135,1)}
       131:{2,3,5}:{(122,1),(123,1),(135,1),(136,1)}
       132:{1,3,7}:{(124,1),(125,1),(134,1)}
       133:{1,2,5}:{(126,1),(127,1),(128,1),(137,1)}
       134:{1,3,6}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,5}:{(129,1),(130,1),(138,1)}
       136:{2,4}:{(131,1),(138,1)}
       137:{1,3,5}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,4}:{(135,1),(136,1),(139,1)}
       139:{1,4}:{(137,1),(138,1)}

1436 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(23,1),(56,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(36,1),(73,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(26,1),(51,1),(90,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(21,1),(26,1),(50,1),(93,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(22,1),(26,1),(49,1),(92,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(11,1),(12,1),(36,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(11,1),(68,1),(112,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(12,1),(67,1),(111,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(15,1),(34,1),(35,1),(114,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(44,1),(90,1),(156,1)}
        10:{2,3,4,5,7}:{(19,1),(20,1),(22,1),(51,1),(79,1),(82,1),(88,1),(124,1),(132,1)}
        11:{1,4,5,7}:{(5,1),(6,1),(17,1),(21,1)}
        12:{2,4,5,7}:{(5,1),(7,1),(18,1),(22,1)}
        13:{1,3,4,6,7}:{(6,1),(21,1),(24,1),(26,1),(41,1),(51,1)}
        14:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(25,1),(26,1),(51,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(23,1),(26,1),(133,1)}
        16:{1,2,3,5,6,7}:{(8,1),(26,1),(27,1),(49,1),(50,1),(52,1),(55,1),(76,1),(91,1),(92,1),(93,1),(136,1),(160,1),(163,1),(172,1)}
        17:{1,4,5,6}:{(9,1),(11,1),(28,1),(112,1),(164,1)}
        18:{2,4,5,6}:{(9,1),(12,1),(29,1),(111,1),(144,1)}
        19:{2,3,4,6}:{(10,1),(29,1),(31,1),(60,1),(111,1),(151,1)}
        20:{1,2,4,5,7}:{(10,1),(31,1),(32,1),(35,1),(63,1),(68,1),(99,1),(102,1)}
        21:{1,3,5,7}:{(11,1),(13,1),(28,1),(34,1),(36,1)}
        22:{2,3,5,7}:{(12,1),(14,1),(29,1),(35,1),(36,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(15,1),(30,1),(34,1),(35,1),(36,1),(67,1),(68,1)}
        24:{1,2,4,6,7}:{(13,1),(34,1),(37,1),(57,1),(67,1)}
        25:{1,2,4,6,7}:{(14,1),(31,1),(35,1),(38,1),(68,1)}
        26:{3,6,7}:{(15,1),(36,1),(151,1)}
        27:{1,2,4,6,7}:{(16,1),(39,1),(40,1),(67,1),(68,1),(97,1),(111,1),(112,1),(169,1),(174,1)}
        28:{1,3,5,6}:{(17,1),(21,1),(41,1),(42,1),(44,1),(153,1)}
        29:{2,3,5,6}:{(18,1),(19,1),(22,1),(43,1),(44,1),(124,1)}
        30:{1,2,4,5,6}:{(17,1),(18,1),(23,1),(42,1),(43,1),(44,1),(77,1),(78,1),(120,1),(133,1)}
        31:{1,2,4,6}:{(19,1),(20,1),(43,1),(45,1),(78,1)}
        32:{1,3,5,7}:{(20,1),(45,1),(47,1),(81,1),(132,1)}
        33:{1,3,4,5,7}:{(21,1),(41,1),(48,1),(51,1),(79,1),(89,1),(129,1),(132,1),(153,1)}
        34:{1,2,5,7}:{(21,1),(24,1),(42,1),(49,1)}
        35:{1,2,5,7}:{(22,1),(25,1),(43,1),(50,1)}
        36:{3,5,7}:{(23,1),(26,1),(44,1),(51,1)}
        37:{2,3,6,7}:{(24,1),(26,1),(49,1),(75,1)}
        38:{1,3,6,7}:{(25,1),(26,1),(45,1),(50,1)}
        39:{3,4,6,7}:{(26,1),(27,1),(51,1),(55,1),(90,1),(119,1),(163,1),(173,1)}
        40:{1,2,4,5,7}:{(27,1),(55,1),(56,1),(88,1),(89,1),(91,1),(120,1)}
        41:{1,3,4,6}:{(28,1),(33,1),(57,1),(60,1),(112,1),(151,1)}
        42:{1,2,5,6}:{(28,1),(34,1),(57,1),(58,1),(138,1)}
        43:{1,2,5,6}:{(29,1),(31,1),(35,1),(59,1),(102,1)}
        44:{3,5,6}:{(30,1),(36,1),(60,1),(140,1),(151,1)}
        45:{1,3,6}:{(31,1),(32,1),(151,1)}
        46:{1,2,3,5,7}:{(32,1),(61,1),(63,1),(102,1),(104,1)}
        47:{1,3,4,7}:{(32,1),(62,1),(63,1),(68,1),(109,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(57,1),(65,1),(67,1),(98,1),(107,1),(138,1)}
        49:{2,3,5,7}:{(34,1),(36,1),(37,1),(58,1),(67,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(38,1),(59,1),(68,1)}
        51:{3,4,7}:{(36,1),(60,1),(67,1),(68,1)}
        52:{1,2,3,6,7}:{(37,1),(38,1),(61,1),(66,1),(70,1),(95,1),(147,1),(151,1),(170,1)}
        53:{2,3,4,6,7}:{(37,1),(39,1),(67,1),(70,1),(71,1),(96,1),(101,1),(109,1),(111,1),(147,1),(151,1),(169,1)}
        54:{1,3,4,6,7}:{(38,1),(39,1),(62,1),(68,1),(70,1),(72,1),(109,1),(112,1),(137,1),(151,1),(170,1),(174,1)}
        55:{3,5,7}:{(39,1),(40,1),(73,1),(140,1)}
        56:{1,2,4,5,6}:{(40,1),(73,1),(111,1),(112,1),(114,1)}
        57:{1,2,4,6}:{(41,1),(42,1),(48,1),(75,1),(77,1)}
        58:{2,3,5,6}:{(42,1),(44,1),(49,1),(75,1),(77,1),(118,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(45,1),(50,1),(78,1),(81,1)}
        60:{3,4,6}:{(44,1),(51,1),(77,1),(78,1),(79,1)}
        61:{1,2,3,6}:{(45,1),(46,1),(80,1),(127,1)}
        62:{1,3,4,6}:{(45,1),(47,1),(78,1),(80,1),(81,1),(119,1)}
        63:{1,2,4,7}:{(46,1),(47,1),(80,1),(82,1)}
        64:{1,3,4,5,7}:{(47,1),(81,1),(83,1),(84,1),(89,1),(126,1),(132,1),(156,1),(173,1)}
        65:{2,3,5,7}:{(48,1),(75,1),(86,1),(118,1),(132,1)}
        66:{1,2,3,5,7}:{(49,1),(50,1),(52,1),(76,1),(87,1),(91,1),(132,1),(160,1),(172,1)}
        67:{2,4,7}:{(49,1),(51,1),(77,1)}
        68:{1,4,7}:{(50,1),(51,1),(78,1)}
        69:{3,4,5,7}:{(51,1),(55,1),(79,1),(88,1),(89,1),(90,1),(132,1),(156,1),(173,1)}
        70:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(80,1),(87,1),(91,1),(117,1),(133,1)}
        71:{2,3,5,7}:{(53,1),(55,1),(88,1),(91,1),(92,1),(118,1),(124,1),(132,1)}
        72:{1,3,5,7}:{(54,1),(55,1),(81,1),(89,1),(91,1),(93,1),(132,1),(153,1)}
        73:{3,5,6}:{(55,1),(56,1),(90,1)}
        74:{1,2,4,5,6,7}:{(56,1),(94,1),(134,1),(135,1),(136,1),(158,1)}
        75:{2,3,6}:{(57,1),(65,1),(151,1)}
        76:{1,2,3,5,6}:{(58,1),(59,1),(61,1),(66,1),(95,1),(97,1),(102,1),(114,1),(138,1),(140,1),(145,1),(151,1),(165,1)}
        77:{2,4,6}:{(58,1),(60,1),(67,1),(98,1)}
        78:{1,4,6}:{(59,1),(60,1),(68,1),(99,1)}
        79:{3,4,5}:{(60,1),(98,1),(99,1),(140,1)}
        80:{1,2,4,6}:{(61,1),(62,1),(63,1),(101,1),(102,1)}
        81:{1,3,5}:{(62,1),(99,1),(102,1),(140,1)}
        82:{2,3,4,7}:{(63,1),(101,1),(104,1),(109,1),(169,1)}
        83:{1,2,4,5,7}:{(63,1),(64,1),(102,1),(104,1),(105,1),(144,1),(146,1),(169,1)}
        84:{1,3,4,6}:{(64,1),(103,1),(105,1),(112,1),(151,1),(167,1)}
        85:{1,2,3,5,7}:{(65,1),(95,1),(107,1),(138,1),(148,1)}
        86:{2,3,4,7}:{(65,1),(67,1),(96,1),(107,1),(109,1)}
        87:{1,2,4,7}:{(66,1),(67,1),(68,1),(97,1),(109,1),(169,1),(174,1)}
        88:{2,4,5,7}:{(67,1),(69,1),(71,1),(98,1),(111,1),(144,1),(169,1)}
        89:{1,4,5,7}:{(68,1),(69,1),(72,1),(99,1),(112,1),(164,1),(174,1)}
        90:{3,4,6}:{(69,1),(73,1),(111,1),(112,1),(151,1)}
        91:{1,2,5,7}:{(70,1),(71,1),(72,1),(102,1),(114,1),(138,1)}
        92:{2,3,5,6}:{(71,1),(73,1),(111,1),(114,1),(151,1)}
        93:{1,3,5,6}:{(72,1),(73,1),(112,1),(114,1),(151,1)}
        94:{3,5,6,7}:{(73,1),(74,1),(113,1),(168,1)}
        95:{1,2,3,6}:{(75,1),(85,1),(117,1),(161,1)}
        96:{2,3,4,6}:{(75,1),(77,1),(86,1),(117,1),(118,1),(119,1)}
        97:{1,2,4,6}:{(76,1),(77,1),(78,1),(87,1),(119,1),(120,1),(159,1),(171,1)}
        98:{2,4,5}:{(77,1),(79,1),(118,1)}
        99:{1,4,5}:{(78,1),(79,1),(81,1)}
       100:{3,4,5,6}:{(79,1),(90,1),(121,1),(122,1),(123,1),(157,1)}
       101:{2,3,4,6}:{(80,1),(82,1),(119,1),(124,1),(127,1),(159,1)}
       102:{1,2,5}:{(80,1),(81,1),(124,1)}
       103:{1,3,5,6}:{(81,1),(84,1),(122,1),(125,1),(126,1),(157,1)}
       104:{2,3,5,7}:{(82,1),(83,1),(124,1),(127,1),(132,1)}
       105:{1,2,4,6}:{(83,1),(84,1),(125,1),(127,1),(159,1)}
       106:{1,3,4,6,7}:{(84,1),(126,1),(128,1),(135,1),(163,1),(173,1)}
       107:{1,2,4,7}:{(85,1),(86,1),(117,1),(129,1)}
       108:{2,3,4,5,7}:{(86,1),(88,1),(118,1),(130,1),(131,1),(132,1),(155,1),(156,1),(173,1)}
       109:{3,4,7}:{(87,1),(119,1),(132,1)}
       110:{1,2,4,5,7}:{(87,1),(88,1),(89,1),(91,1),(120,1),(132,1),(133,1)}
       111:{2,4,6}:{(88,1),(90,1),(92,1)}
       112:{1,4,6}:{(89,1),(90,1),(93,1)}
       113:{3,4,6,7}:{(90,1),(94,1),(123,1),(134,1),(135,1),(163,1),(173,1)}
       114:{1,2,5,6}:{(91,1),(92,1),(93,1),(133,1)}
       115:{2,3,5,6,7}:{(92,1),(94,1),(134,1),(136,1),(155,1),(160,1),(163,1)}
       116:{1,3,5,6,7}:{(93,1),(94,1),(126,1),(135,1),(136,1),(163,1),(172,1)}
       117:{1,2,4,6}:{(95,1),(96,1),(107,1),(137,1),(138,1)}
       118:{2,3,5}:{(96,1),(98,1),(138,1),(140,1)}
       119:{3,4,6}:{(97,1),(109,1),(140,1),(151,1)}
       120:{1,2,4,5}:{(97,1),(98,1),(99,1),(102,1),(138,1),(140,1),(144,1),(164,1)}
       121:{2,4,5,6}:{(98,1),(100,1),(111,1),(139,1),(142,1)}
       122:{1,4,5,6}:{(99,1),(100,1),(103,1),(112,1),(143,1)}
       123:{3,4,5,7}:{(100,1),(113,1),(142,1),(143,1),(168,1)}
       124:{2,3,5}:{(101,1),(102,1),(140,1),(144,1)}
       125:{1,2,5,6}:{(102,1),(103,1),(105,1),(145,1),(146,1)}
       126:{1,3,5,7}:{(103,1),(106,1),(143,1),(146,1),(168,1)}
       127:{2,3,6}:{(104,1),(105,1),(151,1)}
       128:{1,2,4,6,7}:{(105,1),(106,1),(146,1),(147,1),(169,1)}
       129:{1,3,4,7}:{(107,1),(109,1),(137,1),(148,1),(174,1)}
       130:{1,2,4,5,7}:{(107,1),(108,1),(138,1),(148,1),(149,1),(164,1),(166,1),(174,1)}
       131:{2,3,4,6}:{(108,1),(111,1),(139,1),(149,1),(151,1),(167,1)}
       132:{3,5,7}:{(109,1),(110,1),(140,1),(151,1)}
       133:{1,2,4,6}:{(110,1),(111,1),(112,1),(114,1),(151,1)}
       134:{2,4,6,7}:{(111,1),(113,1),(115,1),(142,1),(169,1)}
       135:{1,4,6,7}:{(112,1),(113,1),(116,1),(143,1),(174,1)}
       136:{1,2,5,6,7}:{(114,1),(115,1),(116,1),(146,1),(152,1),(166,1)}
       137:{1,3,4,6}:{(117,1),(119,1),(129,1),(153,1),(161,1),(171,1)}
       138:{1,2,5}:{(117,1),(118,1),(153,1)}
       139:{2,3,5,6}:{(118,1),(121,1),(131,1),(154,1),(155,1),(157,1)}
       140:{3,5}:{(119,1),(120,1)}
       141:{1,2,4,5,6}:{(120,1),(121,1),(122,1),(125,1),(133,1),(154,1),(157,1),(158,1),(159,1),(171,1)}
       142:{2,4,5,7}:{(121,1),(123,1),(134,1),(155,1)}
       143:{1,4,5,7}:{(122,1),(123,1),(126,1),(135,1)}
       144:{2,4,5}:{(124,1),(156,1),(159,1)}
       145:{2,3,5,6}:{(124,1),(125,1),(127,1),(157,1),(159,1),(160,1)}
       146:{1,2,5,7}:{(125,1),(126,1),(128,1),(160,1)}
       147:{2,3,6,7}:{(127,1),(128,1),(160,1),(163,1)}
       148:{1,3,5,7}:{(129,1),(130,1),(132,1),(153,1),(161,1)}
       149:{1,2,4,6}:{(130,1),(131,1),(154,1),(161,1),(171,1)}
       150:{2,3,4,6,7}:{(131,1),(134,1),(155,1),(162,1),(163,1),(173,1)}
       151:{3,6}:{(132,1),(133,1)}
       152:{1,2,4,6,7}:{(133,1),(134,1),(135,1),(136,1),(158,1),(163,1)}
       153:{1,3,5}:{(137,1),(138,1),(140,1),(164,1)}
       154:{1,2,5,6}:{(138,1),(139,1),(149,1),(165,1),(166,1)}
       155:{2,3,5,7}:{(139,1),(142,1),(150,1),(166,1),(168,1)}
       156:{3,4,5}:{(140,1),(144,1),(164,1),(167,1)}
       157:{3,5,6}:{(140,1),(141,1),(151,1),(167,1),(168,1)}
       158:{1,2,4,5,7}:{(141,1),(142,1),(143,1),(146,1),(152,1),(166,1),(168,1),(169,1),(174,1)}
       159:{2,4,6}:{(144,1),(145,1),(167,1),(169,1)}
       160:{2,3,5,7}:{(145,1),(146,1),(147,1),(168,1),(169,1)}
       161:{1,3,6}:{(148,1),(149,1),(151,1)}
       162:{1,2,4,6,7}:{(149,1),(150,1),(166,1),(170,1),(174,1)}
       163:{3,6,7}:{(151,1),(152,1),(168,1)}
       164:{1,4,5}:{(153,1),(156,1),(171,1)}
       165:{1,3,5,6}:{(153,1),(154,1),(157,1),(161,1),(171,1),(172,1)}
       166:{1,2,5,7}:{(154,1),(155,1),(162,1),(172,1)}
       167:{3,4,6}:{(156,1),(157,1),(159,1),(171,1),(173,1)}
       168:{3,5,7}:{(157,1),(158,1),(163,1),(173,1)}
       169:{2,4,7}:{(159,1),(160,1),(173,1)}
       170:{1,3,6,7}:{(161,1),(162,1),(163,1),(172,1)}
       171:{1,4,6}:{(164,1),(165,1),(167,1),(174,1)}
       172:{1,3,5,7}:{(165,1),(166,1),(168,1),(170,1),(174,1)}
       173:{3,4,7}:{(167,1),(168,1),(169,1),(174,1)}
       174:{1,4,7}:{(171,1),(172,1),(173,1)}

1437 :   0:{1,3,4,5,6}:{(1,1),(2,1),(20,1),(65,1),(72,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(53,1),(60,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(58,1),(61,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(48,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(45,1),(49,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(30,1),(54,1),(58,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(36,1),(76,1)}
         8:{1,3,5,6,7}:{(3,1),(14,1),(16,1),(36,1),(53,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(37,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{2,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(42,1),(45,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(8,1),(64,1)}
        15:{2,4,5,6,7}:{(7,1),(24,1),(86,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(45,1)}
        17:{2,3,6,7}:{(9,1),(10,1)}
        18:{2,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{2,3,4,5}:{(11,1),(23,1)}
        20:{1,3,4,6}:{(13,1),(29,1),(30,1),(54,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(33,1),(54,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(29,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(30,1)}
        24:{2,3,5,6,7}:{(15,1),(31,1),(35,1),(36,1),(79,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(35,1),(36,1),(37,1),(57,1),(59,1)}
        26:{2,3,5,6,7}:{(16,1),(17,1),(36,1),(37,1),(38,1)}
        27:{2,3,4,6,7}:{(17,1),(18,1),(33,1),(37,1),(38,1),(39,1),(56,1)}
        28:{2,3,4,5,7}:{(18,1),(19,1),(34,1),(38,1),(39,1),(76,1)}
        29:{1,3,4,7}:{(20,1),(22,1),(42,1)}
        30:{1,3,5}:{(20,1),(23,1)}
        31:{2,3,4,6,7}:{(24,1),(40,1),(43,1),(48,1)}
        32:{1,2,3,5,6,7}:{(21,1),(26,1),(44,1),(45,1),(47,1),(65,1),(66,1),(69,1),(89,1),(90,1)}
        33:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(41,1),(45,1),(46,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(42,1),(45,1),(46,1),(64,1)}
        35:{1,2,5,6,7}:{(24,1),(43,1),(47,1),(89,1)}
        36:{3,5,6,7}:{(25,1),(48,1),(69,1)}
        37:{2,4,6,7}:{(26,1),(48,1),(49,1)}
        38:{2,3,5,7}:{(27,1),(45,1),(49,1),(50,1),(69,1)}
        39:{2,3,4,6}:{(28,1),(46,1),(50,1),(88,1)}
        40:{2,3,4,5,7}:{(31,1),(51,1),(52,1),(60,1),(79,1),(94,1)}
        41:{1,3,4,6,7}:{(29,1),(33,1),(53,1),(54,1),(56,1),(77,1)}
        42:{1,3,5,7}:{(29,1),(30,1),(34,1),(54,1)}
        43:{1,2,4,6,7}:{(31,1),(35,1),(52,1),(55,1),(59,1)}
        44:{1,2,4,6,7}:{(32,1),(37,1),(56,1),(57,1),(59,1),(77,1),(96,1)}
        45:{1,2,5,7}:{(33,1),(38,1),(53,1),(58,1)}
        46:{1,2,4,6}:{(34,1),(39,1),(54,1),(58,1),(77,1)}
        47:{1,3,5,6,7}:{(35,1),(36,1),(55,1),(59,1),(80,1)}
        48:{3,4,6,7}:{(36,1),(37,1),(59,1),(60,1)}
        49:{2,4,5,7}:{(37,1),(38,1),(60,1),(61,1)}
        50:{2,3,5,6}:{(38,1),(39,1),(58,1),(61,1),(81,1)}
        51:{2,3,4,5,6}:{(40,1),(62,1),(72,1),(90,1),(99,1)}
        52:{1,2,4,5,7}:{(40,1),(43,1),(62,1),(63,1),(71,1),(85,1),(89,1)}
        53:{1,3,5,7}:{(41,1),(45,1),(64,1),(65,1),(69,1)}
        54:{1,3,6}:{(42,1),(46,1)}
        55:{1,3,6,7}:{(43,1),(63,1)}
        56:{3,4,6,7}:{(44,1),(69,1),(88,1)}
        57:{1,2,4,5,7}:{(44,1),(45,1),(49,1),(64,1),(69,1),(70,1),(71,1),(86,1),(89,1)}
        58:{1,2,5,6}:{(45,1),(46,1),(50,1),(65,1)}
        59:{1,4,6,7}:{(47,1),(48,1),(71,1)}
        60:{3,4,5,7}:{(48,1),(49,1),(69,1),(71,1),(72,1)}
        61:{2,4,5,6}:{(49,1),(50,1),(72,1)}
        62:{1,2,4,5,6}:{(51,1),(52,1),(73,1),(82,1),(92,1),(98,1)}
        63:{1,3,5,7}:{(52,1),(55,1),(73,1),(75,1)}
        64:{1,4,5,7}:{(53,1),(76,1),(77,1)}
        65:{1,3,5,6}:{(53,1),(54,1),(58,1),(77,1),(81,1)}
        66:{1,2,3,6,7}:{(55,1),(74,1),(78,1),(104,1)}
        67:{2,3,4,6,7}:{(56,1),(78,1),(79,1),(94,1),(96,1),(104,1)}
        68:{1,3,4,6,7}:{(55,1),(56,1),(59,1),(75,1),(78,1),(80,1),(97,1)}
        69:{3,5,7}:{(56,1),(57,1),(81,1)}
        70:{1,2,4,5,6}:{(57,1),(58,1),(61,1),(77,1),(81,1),(82,1),(96,1),(98,1)}
        71:{1,4,5,7}:{(59,1),(60,1),(80,1),(82,1)}
        72:{3,4,5,6}:{(60,1),(61,1),(81,1),(82,1)}
        73:{1,3,5,6}:{(62,1),(63,1),(84,1)}
        74:{1,2,3,5,7}:{(63,1),(66,1),(83,1),(85,1),(89,1),(101,1)}
        75:{1,3,4,7}:{(63,1),(84,1),(85,1)}
        76:{3,4,5,7}:{(64,1),(69,1),(86,1),(88,1)}
        77:{1,4,6}:{(64,1),(65,1),(88,1)}
        78:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(85,1),(89,1),(102,1)}
        79:{2,3,5,7}:{(67,1),(69,1),(86,1),(89,1),(90,1)}
        80:{1,3,5,7}:{(68,1),(69,1),(71,1),(89,1),(91,1)}
        81:{3,5,6}:{(69,1),(70,1),(88,1)}
        82:{1,4,5,6}:{(71,1),(72,1),(91,1)}
        83:{1,2,3,5,6}:{(73,1),(74,1),(92,1),(98,1),(103,1),(104,1)}
        84:{1,3,4,6}:{(73,1),(75,1),(92,1),(93,1)}
        85:{1,2,4,7}:{(74,1),(75,1),(92,1),(94,1)}
        86:{2,4,5,7}:{(76,1),(79,1),(96,1)}
        87:{1,3,4,5,7}:{(75,1),(76,1),(80,1),(93,1),(95,1),(97,1)}
        88:{3,4,6}:{(76,1),(77,1),(81,1),(96,1)}
        89:{1,2,5,7}:{(78,1),(79,1),(80,1),(98,1)}
        90:{2,3,5,6}:{(79,1),(81,1),(96,1),(98,1),(104,1)}
        91:{1,3,5,6}:{(80,1),(81,1),(82,1),(97,1),(98,1)}
        92:{1,2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        93:{1,3,4,5}:{(84,1),(100,1)}
        94:{2,3,4,7}:{(85,1),(99,1),(101,1)}
        95:{1,2,4,5,7}:{(85,1),(86,1),(87,1),(89,1),(100,1),(101,1),(102,1)}
        96:{2,4,6}:{(86,1),(88,1),(90,1)}
        97:{1,3,4,6}:{(87,1),(88,1),(91,1),(102,1)}
        98:{1,2,5,6}:{(89,1),(90,1),(91,1),(102,1)}
        99:{2,3,4,6}:{(92,1),(94,1),(103,1),(104,1)}
       100:{1,2,4,5}:{(92,1),(93,1),(103,1)}
       101:{2,3,5,7}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       103:{2,3,5}:{(99,1),(100,1)}
       104:{2,3,6}:{(101,1),(102,1)}

1438 :   0:{2,4,5,6,7}:{(1,1),(13,1),(163,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(5,1),(182,1)}
         2:{2,3,4,5,7}:{(7,1),(8,1),(10,1),(57,1),(72,1),(103,1),(111,1),(114,1),(119,1),(122,1)}
         3:{2,3,4,6,7}:{(7,1),(10,1),(11,1),(13,1),(38,1),(72,1),(75,1)}
         4:{3,4,6,7}:{(1,1),(9,1),(12,1),(13,1),(38,1),(165,1)}
         5:{1,5,6,7}:{(1,1),(12,1),(197,1)}
         6:{2,3,5,6,7}:{(1,1),(10,1),(13,1),(14,1),(38,1),(115,1)}
         7:{2,3,4,6}:{(2,1),(16,1),(17,1),(86,1),(141,1),(146,1),(148,1)}
         8:{1,2,4,5,7}:{(2,1),(17,1),(18,1),(21,1),(41,1),(52,1),(83,1),(87,1)}
         9:{3,4,5,7}:{(4,1),(15,1),(19,1),(20,1),(51,1)}
        10:{2,3,5,7}:{(3,1),(16,1),(20,1),(21,1),(51,1),(99,1)}
        11:{1,2,4,6,7}:{(3,1),(17,1),(21,1),(22,1),(52,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(19,1),(23,1),(184,1)}
        13:{2,4,6,7}:{(4,1),(6,1),(20,1),(141,1)}
        14:{1,2,5,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(94,1),(99,1)}
        15:{3,4,5,6}:{(9,1),(27,1),(28,1),(63,1),(153,1),(165,1)}
        16:{2,3,5,6}:{(7,1),(10,1),(28,1),(29,1),(63,1),(103,1),(125,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(29,1),(30,1),(64,1)}
        18:{1,3,5,7}:{(8,1),(30,1),(31,1),(65,1),(119,1)}
        19:{1,4,5,7}:{(9,1),(12,1),(27,1),(33,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(13,1),(28,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(29,1),(35,1)}
        22:{1,3,6,7}:{(11,1),(30,1),(35,1),(38,1)}
        23:{1,3,6,7}:{(12,1),(33,1),(37,1),(38,1),(169,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(34,1),(37,1),(38,1),(39,1),(75,1),(120,1)}
        25:{1,3,5,6,7}:{(14,1),(35,1),(38,1),(39,1),(74,1),(76,1)}
        26:{1,2,3,5,7}:{(18,1),(40,1),(41,1),(80,1),(83,1)}
        27:{1,4,5,6}:{(15,1),(19,1),(42,1),(174,1),(184,1)}
        28:{2,4,5,6}:{(15,1),(16,1),(20,1),(128,1),(141,1)}
        29:{1,2,5,6}:{(16,1),(17,1),(21,1),(44,1),(83,1)}
        30:{1,3,6}:{(17,1),(18,1),(146,1)}
        31:{1,3,4,7}:{(18,1),(41,1),(45,1),(52,1),(92,1)}
        32:{1,2,3,6,7}:{(22,1),(40,1),(48,1),(49,1),(54,1),(130,1),(146,1),(186,1),(188,1)}
        33:{1,3,5,7}:{(19,1),(23,1),(42,1),(47,1),(50,1),(51,1)}
        34:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(24,1),(43,1),(50,1),(51,1),(52,1),(56,1),(95,1),(99,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(44,1),(51,1),(52,1)}
        36:{1,3,4,6,7}:{(22,1),(45,1),(49,1),(52,1),(53,1),(55,1),(92,1),(97,1),(146,1)}
        37:{1,2,6,7}:{(23,1),(50,1),(54,1),(186,1)}
        38:{3,6,7}:{(24,1),(51,1),(146,1)}
        39:{1,4,6,7}:{(25,1),(52,1),(55,1),(56,1),(97,1)}
        40:{1,2,3,6}:{(26,1),(30,1),(60,1),(104,1)}
        41:{1,2,4,7}:{(26,1),(31,1),(57,1),(60,1)}
        42:{1,3,5,6}:{(27,1),(33,1),(58,1),(62,1),(63,1),(158,1),(169,1)}
        43:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(34,1),(62,1),(63,1),(64,1),(77,1),(107,1),(110,1),(120,1),(125,1)}
        44:{1,3,5,6}:{(29,1),(30,1),(35,1),(63,1),(64,1),(65,1)}
        45:{1,3,4,6}:{(30,1),(31,1),(60,1),(64,1),(65,1),(106,1)}
        46:{1,3,4,5,7}:{(31,1),(61,1),(65,1),(66,1),(73,1),(113,1),(119,1),(153,1),(164,1),(193,1)}
        47:{1,3,4,7}:{(33,1),(58,1),(68,1),(72,1)}
        48:{1,2,3,5,7}:{(32,1),(35,1),(59,1),(69,1),(70,1),(71,1),(116,1),(119,1),(155,1),(167,1),(196,1)}
        49:{1,2,4,6,7}:{(32,1),(36,1),(60,1),(67,1),(69,1),(70,1),(75,1),(120,1),(199,1)}
        50:{1,2,5,7}:{(33,1),(37,1),(62,1),(68,1),(71,1)}
        51:{3,5,7}:{(34,1),(38,1),(63,1),(72,1)}
        52:{1,4,7}:{(35,1),(64,1),(72,1)}
        53:{1,3,5,7}:{(36,1),(65,1),(70,1),(73,1),(74,1),(76,1),(119,1)}
        54:{2,3,6,7}:{(37,1),(38,1),(71,1),(75,1),(168,1)}
        55:{3,4,6,7}:{(38,1),(39,1),(72,1),(75,1),(76,1),(123,1)}
        56:{1,4,5,7}:{(39,1),(76,1),(77,1)}
        57:{2,3,4,7}:{(41,1),(79,1),(80,1),(92,1),(176,1)}
        58:{1,3,4,6}:{(42,1),(47,1),(78,1),(81,1),(86,1)}
        59:{1,2,3,5,6}:{(40,1),(44,1),(48,1),(82,1),(83,1),(85,1),(94,1),(129,1),(131,1),(134,1),(146,1),(177,1),(179,1),(186,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(45,1),(79,1),(83,1)}
        61:{1,2,4,5,7}:{(41,1),(46,1),(80,1),(83,1),(84,1),(128,1),(136,1),(176,1)}
        62:{1,2,5,6}:{(42,1),(50,1),(81,1),(85,1),(177,1),(186,1)}
        63:{3,5,6}:{(43,1),(51,1),(86,1),(134,1),(146,1)}
        64:{1,4,6}:{(44,1),(52,1),(86,1),(87,1)}
        65:{1,3,5}:{(45,1),(83,1),(87,1),(134,1)}
        66:{1,3,4,6}:{(46,1),(84,1),(88,1),(97,1),(146,1),(175,1),(184,1)}
        67:{2,3,4,6,7}:{(49,1),(79,1),(90,1),(92,1),(130,1),(141,1),(146,1),(176,1),(185,1)}
        68:{1,2,4,7}:{(47,1),(50,1),(81,1),(91,1),(95,1)}
        69:{1,2,4,7}:{(48,1),(52,1),(82,1),(92,1),(95,1),(176,1),(204,1)}
        70:{1,2,5,7}:{(49,1),(53,1),(83,1),(90,1),(94,1),(99,1),(206,1)}
        71:{2,3,5,7}:{(50,1),(51,1),(54,1),(85,1),(91,1),(95,1),(99,1)}
        72:{3,4,7}:{(51,1),(52,1),(86,1),(95,1)}
        73:{1,4,5,7}:{(52,1),(53,1),(87,1),(96,1),(97,1)}
        74:{1,3,5,6}:{(53,1),(94,1),(97,1),(100,1),(146,1)}
        75:{2,4,6,7}:{(54,1),(55,1),(95,1),(99,1),(148,1)}
        76:{3,5,7}:{(55,1),(56,1),(99,1),(100,1)}
        77:{1,4,5,6}:{(56,1),(97,1),(100,1)}
        78:{1,3,4,5}:{(58,1),(102,1),(111,1),(158,1),(189,1)}
        79:{2,3,4,6}:{(57,1),(60,1),(103,1),(104,1),(106,1),(154,1)}
        80:{2,3,5,7}:{(57,1),(61,1),(103,1),(104,1),(119,1)}
        81:{1,2,4,6}:{(58,1),(62,1),(68,1),(102,1),(105,1),(110,1)}
        82:{1,2,4,6}:{(59,1),(64,1),(69,1),(106,1),(107,1),(110,1),(154,1),(192,1)}
        83:{1,2,5}:{(60,1),(65,1),(103,1)}
        84:{1,2,4,6}:{(61,1),(66,1),(104,1),(108,1),(154,1)}
        85:{2,3,5,6}:{(62,1),(63,1),(71,1),(105,1),(110,1),(125,1),(157,1),(168,1)}
        86:{3,4,6}:{(63,1),(64,1),(72,1),(110,1),(111,1)}
        87:{1,4,5}:{(64,1),(65,1),(111,1)}
        88:{1,3,5,6}:{(65,1),(66,1),(108,1),(112,1),(113,1),(159,1),(197,1)}
        89:{1,3,4,6,7}:{(66,1),(109,1),(113,1),(124,1),(170,1),(193,1),(199,1)}
        90:{2,3,5,7}:{(67,1),(70,1),(103,1),(114,1),(115,1),(119,1),(198,1)}
        91:{2,3,7}:{(68,1),(105,1)}
        92:{3,4,7}:{(69,1),(106,1),(119,1)}
        93:{1,2,4,5,7}:{(69,1),(70,1),(73,1),(107,1),(114,1),(119,1),(120,1),(122,1),(164,1),(167,1)}
        94:{1,2,5,6}:{(70,1),(74,1),(115,1),(120,1),(125,1),(197,1)}
        95:{2,4,7}:{(71,1),(72,1),(110,1)}
        96:{3,4,5,7}:{(72,1),(73,1),(76,1),(111,1),(119,1),(122,1),(123,1)}
        97:{1,4,6}:{(73,1),(74,1),(123,1)}
        98:{1,3,5,6,7}:{(74,1),(113,1),(121,1),(124,1),(126,1),(170,1)}
        99:{2,5,7}:{(75,1),(76,1),(125,1)}
       100:{3,5,6}:{(76,1),(77,1),(123,1),(125,1)}
       101:{1,4,5,6,7}:{(77,1),(124,1),(126,1)}
       102:{1,2,4,5}:{(78,1),(81,1),(127,1),(137,1),(172,1),(177,1)}
       103:{2,3,5}:{(79,1),(83,1),(128,1),(134,1)}
       104:{2,3,6}:{(80,1),(84,1),(146,1)}
       105:{2,3,6}:{(81,1),(91,1),(127,1)}
       106:{3,4,6}:{(82,1),(92,1),(134,1),(146,1)}
       107:{1,2,4,5}:{(82,1),(83,1),(87,1),(128,1),(134,1),(137,1),(174,1),(177,1)}
       108:{1,2,5,6}:{(83,1),(84,1),(88,1),(129,1),(136,1)}
       109:{1,2,4,6,7}:{(84,1),(89,1),(130,1),(136,1),(176,1)}
       110:{2,4,6}:{(85,1),(86,1),(95,1),(137,1)}
       111:{3,4,5}:{(86,1),(87,1),(134,1),(137,1)}
       112:{1,4,5,6}:{(87,1),(88,1),(97,1),(138,1),(139,1)}
       113:{1,3,5,7}:{(88,1),(89,1),(136,1),(139,1),(180,1),(206,1)}
       114:{2,4,5,7}:{(90,1),(128,1),(140,1),(141,1),(176,1)}
       115:{2,3,5,6}:{(90,1),(94,1),(141,1),(146,1),(182,1)}
       116:{1,2,3,7}:{(91,1),(131,1),(143,1),(209,1)}
       117:{2,3,4,7}:{(91,1),(92,1),(95,1),(132,1),(143,1),(144,1)}
       118:{1,3,4,7}:{(92,1),(133,1),(143,1),(145,1),(204,1),(209,1)}
       119:{3,5,7}:{(92,1),(93,1),(134,1),(146,1)}
       120:{1,2,4,6}:{(93,1),(94,1),(97,1),(141,1),(146,1),(148,1),(184,1),(186,1)}
       121:{1,2,5,6,7}:{(94,1),(98,1),(136,1),(142,1),(147,1),(150,1),(206,1)}
       122:{2,4,5,7}:{(95,1),(96,1),(99,1),(137,1),(144,1),(148,1)}
       123:{3,4,6}:{(96,1),(97,1),(100,1),(146,1),(148,1)}
       124:{1,4,6,7}:{(97,1),(98,1),(139,1),(149,1)}
       125:{2,5,6}:{(99,1),(100,1),(148,1)}
       126:{3,5,6,7}:{(100,1),(101,1),(149,1),(150,1)}
       127:{2,3,5}:{(102,1),(105,1),(152,1)}
       128:{2,4,5}:{(103,1),(153,1),(154,1)}
       129:{2,3,5,6}:{(103,1),(104,1),(108,1),(154,1),(155,1),(159,1)}
       130:{2,3,6,7}:{(104,1),(109,1),(155,1),(170,1)}
       131:{1,2,3,6}:{(105,1),(116,1),(151,1),(156,1),(207,1)}
       132:{2,3,4,6}:{(105,1),(106,1),(110,1),(117,1),(152,1),(156,1),(157,1),(168,1)}
       133:{1,3,4,6}:{(106,1),(118,1),(156,1),(158,1),(169,1),(189,1),(192,1),(207,1)}
       134:{3,5}:{(106,1),(107,1)}
       135:{1,2,4,5,6}:{(107,1),(108,1),(112,1),(120,1),(154,1),(159,1),(160,1),(161,1),(163,1),(192,1),(194,1),(197,1)}
       136:{1,2,5,7}:{(108,1),(109,1),(113,1),(155,1)}
       137:{2,4,5}:{(110,1),(111,1),(157,1)}
       138:{3,4,5,6}:{(111,1),(112,1),(123,1),(159,1),(161,1),(162,1)}
       139:{1,4,5,7}:{(112,1),(113,1),(124,1),(162,1)}
       140:{3,4,5,7}:{(114,1),(119,1),(153,1),(164,1),(165,1),(193,1),(198,1)}
       141:{2,4,6}:{(114,1),(115,1),(165,1)}
       142:{2,3,5,6,7}:{(115,1),(121,1),(155,1),(166,1),(170,1),(198,1)}
       143:{1,2,4,7}:{(116,1),(117,1),(118,1),(156,1),(167,1)}
       144:{2,3,5,7}:{(117,1),(119,1),(122,1),(157,1),(167,1),(168,1)}
       145:{1,3,5,7}:{(118,1),(119,1),(158,1),(164,1),(167,1),(169,1)}
       146:{3,6}:{(119,1),(120,1)}
       147:{1,2,4,6,7}:{(120,1),(121,1),(124,1),(160,1),(166,1),(170,1),(171,1),(199,1),(200,1)}
       148:{2,4,6}:{(122,1),(123,1),(125,1),(168,1)}
       149:{3,4,6,7}:{(123,1),(124,1),(126,1),(162,1),(170,1),(171,1)}
       150:{2,5,6,7}:{(125,1),(126,1),(171,1)}
       151:{1,2,3,5}:{(127,1),(131,1),(172,1),(177,1),(201,1)}
       152:{2,3,4}:{(127,1),(172,1)}
       153:{3,4,5}:{(128,1),(134,1),(174,1),(175,1)}
       154:{2,4,6}:{(128,1),(129,1),(175,1),(176,1)}
       155:{2,3,5,7}:{(129,1),(130,1),(136,1),(176,1),(180,1)}
       156:{1,2,4,6}:{(131,1),(132,1),(133,1),(143,1),(172,1),(177,1),(186,1)}
       157:{2,3,5}:{(132,1),(134,1),(137,1),(177,1)}
       158:{1,3,5}:{(133,1),(134,1),(174,1),(177,1)}
       159:{3,5,6}:{(134,1),(135,1),(146,1),(175,1),(180,1)}
       160:{1,2,4,5,7}:{(135,1),(136,1),(139,1),(147,1),(176,1),(180,1),(181,1),(183,1),(204,1),(205,1),(206,1)}
       161:{2,4,5,6}:{(137,1),(138,1),(148,1),(178,1),(181,1)}
       162:{3,4,5,7}:{(138,1),(139,1),(149,1),(180,1),(181,1)}
       163:{2,4,5,6}:{(141,1),(182,1),(183,1)}
       164:{1,4,5,7}:{(140,1),(145,1),(174,1),(184,1),(204,1),(206,1)}
       165:{3,4,6}:{(140,1),(141,1),(146,1),(182,1),(184,1)}
       166:{2,4,6,7}:{(141,1),(142,1),(176,1),(183,1),(185,1)}
       167:{1,2,5,7}:{(143,1),(144,1),(145,1),(177,1),(186,1)}
       168:{2,3,6}:{(144,1),(146,1),(148,1),(186,1)}
       169:{1,3,6}:{(145,1),(146,1),(184,1),(186,1)}
       170:{3,6,7}:{(146,1),(147,1),(180,1)}
       171:{2,4,6,7}:{(148,1),(149,1),(150,1),(181,1),(187,1)}
       172:{1,2,4}:{(151,1),(152,1),(189,1)}
       173:{2,3,4,5}:{(152,1),(153,1),(157,1),(190,1),(191,1)}
       174:{1,4,5}:{(153,1),(158,1),(192,1)}
       175:{3,4,6}:{(153,1),(154,1),(159,1),(192,1),(193,1)}
       176:{2,4,7}:{(154,1),(155,1),(193,1)}
       177:{1,2,5}:{(156,1),(157,1),(158,1)}
       178:{2,3,5,6}:{(157,1),(159,1),(161,1),(168,1),(191,1),(194,1),(195,1)}
       179:{1,3,5,6}:{(158,1),(159,1),(169,1),(192,1),(194,1),(196,1),(197,1),(207,1)}
       180:{3,5,7}:{(159,1),(160,1),(170,1),(193,1)}
       181:{2,4,5,7}:{(161,1),(162,1),(171,1),(195,1)}
       182:{3,5,6}:{(163,1),(165,1),(197,1),(198,1)}
       183:{2,4,5,7}:{(163,1),(166,1),(198,1)}
       184:{1,4,6}:{(164,1),(165,1),(169,1),(197,1)}
       185:{3,4,6,7}:{(165,1),(166,1),(170,1),(193,1),(198,1),(199,1)}
       186:{1,2,6}:{(167,1),(168,1),(169,1)}
       187:{2,3,6,7}:{(168,1),(170,1),(171,1),(195,1),(200,1)}
       188:{1,3,6,7}:{(169,1),(170,1),(196,1),(199,1),(200,1)}
       189:{1,3,4}:{(172,1),(201,1)}
       190:{1,2,4,5}:{(172,1),(173,1),(174,1),(177,1),(201,1),(202,1)}
       191:{2,3,4,6}:{(173,1),(175,1),(178,1),(202,1),(203,1)}
       192:{1,4,6}:{(174,1),(175,1),(179,1),(204,1)}
       193:{3,4,7}:{(175,1),(176,1),(180,1),(204,1)}
       194:{1,2,5,6}:{(177,1),(178,1),(179,1),(186,1),(202,1),(205,1)}
       195:{2,3,5,7}:{(178,1),(180,1),(181,1),(187,1),(203,1),(205,1)}
       196:{1,3,5,7}:{(179,1),(180,1),(188,1),(204,1),(205,1),(206,1),(209,1)}
       197:{1,5,6}:{(182,1),(184,1),(206,1)}
       198:{3,5,7}:{(182,1),(183,1),(185,1),(206,1)}
       199:{1,4,6,7}:{(184,1),(185,1),(188,1),(204,1),(206,1)}
       200:{1,2,6,7}:{(186,1),(187,1),(188,1),(205,1)}
       201:{1,3,5}:{(189,1),(190,1),(207,1)}
       202:{1,2,4,6}:{(190,1),(191,1),(192,1),(194,1),(207,1),(208,1)}
       203:{2,3,4,7}:{(191,1),(193,1),(195,1),(208,1)}
       204:{1,4,7}:{(192,1),(193,1),(196,1)}
       205:{1,2,5,7}:{(194,1),(195,1),(196,1),(200,1),(208,1)}
       206:{1,5,7}:{(197,1),(198,1),(199,1)}
       207:{1,3,6}:{(201,1),(202,1),(209,1)}
       208:{1,2,4,7}:{(202,1),(203,1),(204,1),(205,1),(209,1)}
       209:{1,3,7}:{(207,1),(208,1)}

1439 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(33,1),(80,1),(94,1),(97,1),(137,1),(146,1),(157,1)}
         1:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(21,1),(25,1),(60,1),(67,1),(70,1)}
         2:{2,3,4,6}:{(0,1),(6,1),(7,1),(71,1),(166,1),(174,1),(182,1)}
         3:{1,3,4,5,7}:{(8,1),(9,1),(13,1),(32,1),(46,1),(93,1),(138,1),(141,1),(146,1),(190,1)}
         4:{2,3,4,6,7}:{(2,1),(11,1),(12,1),(41,1),(90,1),(94,1),(154,1)}
         5:{1,3,5,7}:{(1,1),(13,1),(14,1),(46,1),(146,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(14,1),(15,1),(47,1)}
         7:{2,3,5,6}:{(2,1),(12,1),(15,1),(16,1),(48,1),(80,1),(199,1)}
         8:{1,2,4,5,7}:{(3,1),(18,1),(19,1),(21,1),(52,1),(60,1),(106,1),(109,1)}
         9:{1,3,4,6}:{(3,1),(19,1),(20,1),(110,1),(124,1),(174,1),(203,1)}
        10:{1,2,3,5,7}:{(5,1),(18,1),(21,1),(22,1),(60,1)}
        11:{1,2,4,6,7}:{(4,1),(6,1),(24,1),(25,1),(67,1)}
        12:{2,3,5,7}:{(4,1),(7,1),(25,1),(26,1),(68,1),(181,1)}
        13:{1,3,4,7}:{(5,1),(21,1),(27,1),(67,1),(115,1)}
        14:{1,3,6}:{(5,1),(6,1),(174,1)}
        15:{1,2,5,6}:{(6,1),(7,1),(25,1),(28,1),(60,1)}
        16:{2,4,5,6}:{(7,1),(26,1),(30,1),(109,1),(166,1)}
        17:{1,3,4,6,7}:{(9,1),(31,1),(32,1),(75,1),(134,1),(138,1),(187,1)}
        18:{2,3,5,7}:{(8,1),(33,1),(34,1),(80,1),(146,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(34,1),(35,1),(81,1)}
        20:{1,3,5,6}:{(9,1),(32,1),(35,1),(36,1),(46,1),(82,1),(208,1)}
        21:{1,2,4,7}:{(10,1),(13,1),(33,1),(38,1)}
        22:{1,2,3,6}:{(10,1),(14,1),(34,1),(38,1)}
        23:{2,3,5,6,7}:{(12,1),(40,1),(41,1),(88,1),(90,1),(136,1)}
        24:{1,3,6,7}:{(11,1),(14,1),(43,1),(90,1)}
        25:{1,2,5,7}:{(11,1),(12,1),(15,1),(43,1)}
        26:{2,4,5,7}:{(12,1),(16,1),(41,1),(45,1)}
        27:{1,3,4,6}:{(13,1),(14,1),(38,1),(46,1),(47,1),(87,1)}
        28:{1,3,5,6}:{(14,1),(15,1),(43,1),(46,1),(47,1),(48,1)}
        29:{1,2,4,5,6}:{(15,1),(16,1),(44,1),(47,1),(48,1),(49,1),(86,1),(99,1),(100,1),(145,1),(152,1),(199,1)}
        30:{3,4,5,6}:{(16,1),(45,1),(48,1),(49,1),(141,1),(189,1)}
        31:{1,2,4,6,7}:{(17,1),(19,1),(51,1),(52,1),(106,1)}
        32:{1,3,5,7}:{(17,1),(20,1),(52,1),(53,1),(107,1),(202,1)}
        33:{2,3,4,7}:{(18,1),(21,1),(54,1),(106,1),(115,1)}
        34:{2,3,6}:{(18,1),(19,1),(174,1)}
        35:{1,2,5,6}:{(19,1),(20,1),(52,1),(55,1),(60,1)}
        36:{1,4,5,6}:{(20,1),(53,1),(57,1),(70,1),(124,1)}
        37:{1,2,3,6,7}:{(22,1),(24,1),(51,1),(58,1),(59,1),(123,1),(164,1),(174,1),(206,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(27,1),(54,1),(60,1)}
        39:{1,2,3,5,6}:{(22,1),(28,1),(55,1),(59,1),(60,1),(61,1),(73,1),(111,1),(113,1),(116,1),(174,1),(178,1),(179,1),(206,1)}
        40:{1,2,5,6,7}:{(23,1),(25,1),(63,1),(64,1),(113,1),(119,1),(181,1)}
        41:{2,4,6,7}:{(23,1),(26,1),(65,1),(166,1)}
        42:{1,3,4,6,7}:{(24,1),(27,1),(58,1),(66,1),(67,1),(115,1),(121,1),(124,1),(174,1)}
        43:{1,3,5,7}:{(24,1),(25,1),(28,1),(67,1),(68,1)}
        44:{1,2,4,5,7}:{(25,1),(26,1),(29,1),(64,1),(67,1),(68,1),(69,1),(120,1),(127,1),(128,1),(181,1)}
        45:{3,4,5,7}:{(26,1),(30,1),(65,1),(68,1),(69,1)}
        46:{1,3,5}:{(27,1),(60,1),(70,1),(116,1)}
        47:{1,4,6}:{(28,1),(67,1),(70,1),(71,1)}
        48:{3,5,6}:{(29,1),(68,1),(71,1),(116,1),(174,1)}
        49:{1,4,5,6}:{(30,1),(69,1),(72,1),(171,1),(203,1)}
        50:{1,3,5,6,7}:{(32,1),(74,1),(75,1),(92,1),(132,1),(134,1)}
        51:{2,3,6,7}:{(31,1),(34,1),(77,1),(134,1)}
        52:{1,2,5,7}:{(31,1),(32,1),(35,1),(77,1)}
        53:{1,4,5,7}:{(32,1),(36,1),(75,1),(79,1)}
        54:{2,3,4,6}:{(33,1),(34,1),(38,1),(80,1),(81,1),(87,1)}
        55:{2,3,5,6}:{(34,1),(35,1),(77,1),(80,1),(81,1),(82,1)}
        56:{1,2,4,5,6}:{(35,1),(36,1),(78,1),(81,1),(82,1),(83,1),(86,1),(142,1),(144,1),(145,1),(185,1),(208,1)}
        57:{3,4,5,6}:{(36,1),(79,1),(82,1),(83,1),(97,1),(156,1)}
        58:{1,2,4,6,7}:{(37,1),(38,1),(42,1),(76,1),(84,1),(85,1),(145,1),(154,1),(187,1)}
        59:{1,2,3,5,7}:{(37,1),(39,1),(43,1),(77,1),(84,1),(85,1),(96,1),(139,1),(146,1),(196,1),(197,1)}
        60:{1,2,5}:{(38,1),(46,1),(80,1)}
        61:{1,2,4,6}:{(39,1),(47,1),(81,1),(85,1),(86,1),(87,1),(99,1),(142,1)}
        62:{2,4,5,6,7}:{(41,1),(88,1),(185,1)}
        63:{1,3,5,6,7}:{(40,1),(43,1),(89,1),(90,1),(92,1),(153,1)}
        64:{1,2,4,6,7}:{(40,1),(41,1),(44,1),(89,1),(90,1),(91,1),(145,1),(154,1),(155,1)}
        65:{3,4,6,7}:{(41,1),(45,1),(88,1),(90,1),(91,1),(189,1)}
        66:{1,3,5,7}:{(42,1),(46,1),(84,1),(92,1),(93,1),(146,1),(153,1)}
        67:{1,4,7}:{(43,1),(47,1),(94,1)}
        68:{3,5,7}:{(44,1),(48,1),(90,1),(94,1)}
        69:{1,4,5,7}:{(45,1),(49,1),(91,1),(95,1)}
        70:{1,4,5}:{(46,1),(47,1),(97,1)}
        71:{3,4,6}:{(47,1),(48,1),(94,1),(97,1),(99,1)}
        72:{1,3,5,6}:{(48,1),(49,1),(95,1),(98,1),(100,1),(149,1),(194,1)}
        73:{2,3,5,6}:{(48,1),(96,1),(99,1),(100,1),(150,1),(160,1),(195,1),(199,1)}
        74:{1,2,5,6,7}:{(50,1),(52,1),(102,1),(103,1),(113,1),(161,1),(202,1)}
        75:{1,4,6,7}:{(50,1),(53,1),(104,1),(124,1)}
        76:{2,3,4,6,7}:{(51,1),(54,1),(58,1),(105,1),(106,1),(115,1),(163,1),(166,1),(174,1)}
        77:{2,3,5,7}:{(51,1),(52,1),(55,1),(106,1),(107,1)}
        78:{1,2,4,5,7}:{(52,1),(53,1),(56,1),(103,1),(106,1),(107,1),(108,1),(162,1),(168,1),(170,1),(202,1)}
        79:{3,4,5,7}:{(53,1),(57,1),(104,1),(107,1),(108,1)}
        80:{2,3,5}:{(54,1),(60,1),(109,1),(116,1)}
        81:{2,4,6}:{(55,1),(106,1),(109,1),(110,1)}
        82:{3,5,6}:{(56,1),(107,1),(110,1),(116,1),(174,1)}
        83:{2,4,5,6}:{(57,1),(108,1),(112,1),(130,1),(182,1)}
        84:{1,2,5,7}:{(58,1),(60,1),(66,1),(105,1),(113,1),(181,1),(202,1)}
        85:{1,2,4,7}:{(59,1),(61,1),(67,1),(106,1),(115,1),(127,1),(168,1)}
        86:{1,2,4,5}:{(60,1),(61,1),(70,1),(109,1),(116,1),(130,1),(171,1),(178,1)}
        87:{3,4,6}:{(61,1),(115,1),(116,1),(174,1)}
        88:{3,5,6,7}:{(62,1),(65,1),(119,1),(201,1)}
        89:{1,4,6,7}:{(63,1),(67,1),(120,1),(121,1),(124,1)}
        90:{3,6,7}:{(64,1),(68,1),(174,1)}
        91:{1,4,6,7}:{(65,1),(69,1),(119,1),(122,1),(203,1)}
        92:{1,3,5,6}:{(66,1),(113,1),(124,1),(174,1),(180,1)}
        93:{1,4,5,7}:{(66,1),(67,1),(70,1),(124,1),(125,1)}
        94:{3,4,7}:{(67,1),(68,1),(71,1),(127,1)}
        95:{1,3,5,7}:{(68,1),(69,1),(72,1),(122,1),(126,1),(128,1)}
        96:{2,3,5,7}:{(68,1),(73,1),(123,1),(127,1),(128,1),(181,1),(183,1)}
        97:{3,4,5}:{(70,1),(71,1),(116,1),(130,1)}
        98:{1,3,4,6}:{(71,1),(72,1),(126,1),(129,1),(131,1)}
        99:{2,4,6}:{(71,1),(73,1),(127,1),(130,1)}
       100:{1,2,5,6}:{(72,1),(73,1),(128,1),(131,1),(178,1),(206,1)}
       101:{1,4,5,6,7}:{(75,1),(132,1),(152,1)}
       102:{2,3,5,6,7}:{(74,1),(77,1),(133,1),(134,1),(136,1),(186,1)}
       103:{1,2,4,6,7}:{(74,1),(75,1),(78,1),(133,1),(134,1),(135,1),(145,1),(187,1),(188,1)}
       104:{3,4,6,7}:{(75,1),(79,1),(132,1),(134,1),(135,1),(156,1)}
       105:{2,3,5,7}:{(76,1),(80,1),(84,1),(136,1),(137,1),(146,1),(186,1)}
       106:{2,4,7}:{(77,1),(81,1),(138,1)}
       107:{3,5,7}:{(78,1),(82,1),(134,1),(138,1)}
       108:{2,4,5,7}:{(79,1),(83,1),(135,1),(140,1)}
       109:{2,4,5}:{(80,1),(81,1),(141,1)}
       110:{3,4,6}:{(81,1),(82,1),(138,1),(141,1),(142,1)}
       111:{1,3,5,6}:{(82,1),(139,1),(142,1),(144,1),(149,1),(193,1),(194,1),(208,1)}
       112:{2,3,5,6}:{(82,1),(83,1),(140,1),(143,1),(144,1),(150,1),(195,1)}
       113:{1,2,5,6}:{(84,1),(92,1),(136,1),(145,1),(199,1),(208,1)}
       114:{1,2,4,5,7}:{(84,1),(85,1),(86,1),(93,1),(137,1),(145,1),(146,1),(157,1),(190,1),(196,1)}
       115:{3,4,7}:{(85,1),(87,1),(146,1)}
       116:{3,5}:{(86,1),(87,1)}
       117:{1,3,4,6}:{(87,1),(142,1),(147,1),(149,1),(151,1),(193,1),(194,1),(209,1)}
       118:{2,3,4,6}:{(87,1),(99,1),(148,1),(150,1),(151,1),(160,1),(195,1),(200,1)}
       119:{1,5,6,7}:{(88,1),(91,1),(208,1)}
       120:{1,4,5,7}:{(89,1),(152,1),(153,1)}
       121:{3,4,6,7}:{(89,1),(90,1),(94,1),(153,1),(154,1),(156,1)}
       122:{1,3,6,7}:{(90,1),(91,1),(95,1),(155,1),(194,1)}
       123:{2,3,6,7}:{(90,1),(96,1),(154,1),(155,1),(195,1)}
       124:{1,4,6}:{(92,1),(93,1),(156,1)}
       125:{3,4,5,7}:{(93,1),(94,1),(97,1),(146,1),(153,1),(156,1),(157,1)}
       126:{1,3,4,7}:{(94,1),(95,1),(98,1),(158,1)}
       127:{2,4,7}:{(94,1),(96,1),(99,1)}
       128:{1,2,5,7}:{(95,1),(96,1),(100,1),(155,1),(158,1)}
       129:{1,3,4,5}:{(97,1),(98,1),(149,1),(159,1),(209,1)}
       130:{2,4,5}:{(97,1),(99,1),(150,1)}
       131:{1,2,4,6}:{(98,1),(99,1),(100,1),(158,1),(159,1),(160,1)}
       132:{3,5,6,7}:{(101,1),(104,1),(161,1),(180,1)}
       133:{2,4,6,7}:{(102,1),(106,1),(162,1),(163,1),(166,1)}
       134:{3,6,7}:{(103,1),(107,1),(174,1)}
       135:{2,4,6,7}:{(104,1),(108,1),(161,1),(165,1),(182,1)}
       136:{2,3,5,6}:{(105,1),(113,1),(166,1),(174,1),(201,1)}
       137:{2,4,5,7}:{(105,1),(106,1),(109,1),(166,1),(167,1)}
       138:{3,4,7}:{(106,1),(107,1),(110,1),(168,1)}
       139:{1,3,5,7}:{(107,1),(111,1),(164,1),(168,1),(170,1),(202,1),(204,1)}
       140:{2,3,5,7}:{(107,1),(108,1),(112,1),(165,1),(169,1),(170,1)}
       141:{3,4,5}:{(109,1),(110,1),(116,1),(171,1)}
       142:{1,4,6}:{(110,1),(111,1),(168,1),(171,1)}
       143:{2,3,4,6}:{(110,1),(112,1),(169,1),(172,1),(173,1)}
       144:{1,2,5,6}:{(111,1),(112,1),(170,1),(173,1),(178,1),(206,1)}
       145:{1,2,4,6}:{(113,1),(114,1),(124,1),(166,1),(174,1),(182,1),(203,1),(206,1)}
       146:{3,5,7}:{(114,1),(115,1),(116,1),(174,1)}
       147:{1,3,4,7}:{(115,1),(117,1),(168,1),(175,1),(177,1),(204,1)}
       148:{2,3,4,7}:{(115,1),(118,1),(127,1),(176,1),(177,1),(183,1)}
       149:{1,3,5}:{(116,1),(117,1),(171,1),(178,1)}
       150:{2,3,5}:{(116,1),(118,1),(130,1),(178,1)}
       151:{1,2,4,6}:{(117,1),(118,1),(177,1),(178,1),(179,1),(206,1),(207,1)}
       152:{1,4,5,6}:{(120,1),(124,1),(180,1)}
       153:{3,5,7}:{(120,1),(121,1),(180,1),(181,1)}
       154:{2,4,6,7}:{(121,1),(123,1),(127,1),(181,1),(182,1)}
       155:{1,2,6,7}:{(122,1),(123,1),(128,1),(206,1)}
       156:{3,4,6}:{(124,1),(125,1),(174,1),(180,1),(182,1)}
       157:{2,4,5,7}:{(125,1),(127,1),(130,1),(176,1),(181,1),(182,1)}
       158:{1,2,4,7}:{(126,1),(127,1),(128,1),(131,1),(183,1)}
       159:{1,2,4,5}:{(129,1),(130,1),(131,1),(178,1),(184,1),(207,1)}
       160:{2,3,6}:{(131,1),(183,1),(184,1)}
       161:{2,5,6,7}:{(132,1),(135,1),(199,1)}
       162:{2,4,5,7}:{(133,1),(185,1),(186,1)}
       163:{3,4,6,7}:{(133,1),(134,1),(138,1),(186,1),(187,1),(189,1)}
       164:{1,3,6,7}:{(134,1),(139,1),(187,1),(188,1),(194,1)}
       165:{2,3,6,7}:{(134,1),(135,1),(140,1),(188,1),(195,1)}
       166:{2,4,6}:{(136,1),(137,1),(189,1)}
       167:{3,4,5,7}:{(137,1),(138,1),(141,1),(146,1),(186,1),(189,1),(190,1)}
       168:{1,4,7}:{(138,1),(139,1),(142,1)}
       169:{2,3,4,7}:{(138,1),(140,1),(143,1),(191,1)}
       170:{1,2,5,7}:{(139,1),(140,1),(144,1),(188,1),(191,1)}
       171:{1,4,5}:{(141,1),(142,1),(149,1)}
       172:{2,3,4,5}:{(141,1),(143,1),(150,1),(192,1),(200,1)}
       173:{1,2,4,6}:{(142,1),(143,1),(144,1),(191,1),(192,1),(193,1)}
       174:{3,6}:{(145,1),(146,1)}
       175:{1,3,5,7}:{(146,1),(147,1),(149,1),(190,1),(194,1),(196,1)}
       176:{2,3,5,7}:{(146,1),(148,1),(150,1),(157,1),(195,1),(196,1)}
       177:{1,2,4,7}:{(147,1),(148,1),(151,1),(196,1),(197,1)}
       178:{1,2,5}:{(149,1),(150,1),(151,1)}
       179:{1,2,3,6}:{(151,1),(160,1),(193,1),(197,1),(198,1)}
       180:{3,5,6}:{(152,1),(153,1),(156,1),(199,1)}
       181:{2,5,7}:{(153,1),(154,1),(199,1)}
       182:{2,4,6}:{(156,1),(157,1),(195,1),(199,1)}
       183:{2,3,7}:{(158,1),(160,1)}
       184:{2,3,5}:{(159,1),(160,1),(200,1)}
       185:{2,4,5,6}:{(162,1),(166,1),(201,1)}
       186:{3,5,7}:{(162,1),(163,1),(201,1),(202,1)}
       187:{1,4,6,7}:{(163,1),(164,1),(168,1),(202,1),(203,1)}
       188:{1,2,6,7}:{(164,1),(165,1),(170,1),(206,1)}
       189:{3,4,6}:{(166,1),(167,1),(174,1),(201,1),(203,1)}
       190:{1,4,5,7}:{(167,1),(168,1),(171,1),(175,1),(202,1),(203,1)}
       191:{1,2,4,7}:{(168,1),(169,1),(170,1),(173,1),(204,1)}
       192:{1,2,4,5}:{(171,1),(172,1),(173,1),(178,1),(205,1),(207,1)}
       193:{1,3,6}:{(173,1),(204,1),(205,1)}
       194:{1,3,6}:{(174,1),(175,1),(203,1),(206,1)}
       195:{2,3,6}:{(174,1),(176,1),(182,1),(206,1)}
       196:{1,2,5,7}:{(175,1),(176,1),(177,1),(178,1),(206,1)}
       197:{1,2,3,7}:{(177,1),(179,1),(183,1),(204,1)}
       198:{1,2,3,5}:{(178,1),(179,1),(184,1),(205,1),(207,1)}
       199:{2,5,6}:{(180,1),(181,1),(182,1)}
       200:{2,3,4}:{(184,1),(207,1)}
       201:{3,5,6}:{(185,1),(186,1),(189,1),(208,1)}
       202:{1,5,7}:{(186,1),(187,1),(208,1)}
       203:{1,4,6}:{(189,1),(190,1),(194,1),(208,1)}
       204:{1,3,7}:{(191,1),(193,1)}
       205:{1,3,5}:{(192,1),(193,1),(209,1)}
       206:{1,2,6}:{(194,1),(195,1),(196,1)}
       207:{1,2,4}:{(198,1),(200,1),(209,1)}
       208:{1,5,6}:{(201,1),(202,1),(203,1)}
       209:{1,3,4}:{(205,1),(207,1)}

1440 :   0:{2,3,4,5}:{(1,1),(2,1),(47,1),(111,1),(130,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(95,1)}
         2:{1,2,4,5}:{(0,1),(7,1),(8,1),(28,1),(87,1),(98,1)}
         3:{1,3,4,5}:{(9,1),(10,1),(19,1),(66,1),(171,1)}
         4:{3,4,5,6}:{(12,1),(13,1),(14,1),(61,1),(171,1),(214,1),(222,1)}
         5:{2,3,5,6}:{(1,1),(14,1),(15,1),(16,1),(61,1),(111,1),(174,1)}
         6:{2,3,4,7}:{(1,1),(15,1),(17,1),(129,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(18,1),(64,1)}
         8:{1,3,5}:{(2,1),(18,1),(19,1)}
         9:{1,3,4,6}:{(3,1),(21,1),(22,1),(23,1),(141,1)}
        10:{1,2,4,5}:{(3,1),(23,1),(24,1),(28,1),(87,1),(144,1)}
        11:{1,2,3,5}:{(8,1),(24,1),(27,1),(28,1),(87,1)}
        12:{3,4,5,7}:{(4,1),(31,1),(32,1),(33,1),(94,1),(208,1)}
        13:{1,4,5,6}:{(4,1),(29,1),(32,1),(193,1),(224,1)}
        14:{2,4,5,6}:{(4,1),(5,1),(33,1),(144,1),(198,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(33,1),(35,1),(36,1),(94,1)}
        16:{1,2,5,6}:{(5,1),(7,1),(36,1),(37,1),(87,1),(156,1)}
        17:{1,2,4,7}:{(6,1),(7,1),(36,1),(38,1),(97,1)}
        18:{1,3,6}:{(7,1),(8,1),(38,1)}
        19:{1,3,4}:{(8,1),(28,1)}
        20:{3,4,5,6}:{(40,1),(41,1),(42,1),(106,1),(130,1),(189,1),(230,1)}
        21:{1,3,5,6}:{(9,1),(41,1),(43,1),(44,1),(66,1),(106,1),(133,1)}
        22:{1,3,4,7}:{(9,1),(43,1),(45,1),(170,1)}
        23:{1,2,4,6}:{(9,1),(10,1),(44,1),(45,1),(46,1),(109,1)}
        24:{2,3,5}:{(10,1),(46,1),(47,1)}
        25:{2,3,4,5}:{(48,1),(49,1),(118,1),(171,1),(180,1)}
        26:{1,3,4,5}:{(50,1),(51,1),(115,1),(130,1),(178,1)}
        27:{1,2,3,6}:{(11,1),(18,1),(46,1),(53,1),(54,1)}
        28:{1,2,4}:{(11,1),(19,1),(47,1)}
        29:{1,3,5,6}:{(13,1),(50,1),(55,1),(56,1),(61,1),(178,1),(217,1)}
        30:{4,5,6,7}:{(57,1),(187,1),(230,1)}
        31:{3,4,6,7}:{(12,1),(57,1),(58,1),(59,1),(128,1),(187,1),(214,1)}
        32:{1,4,5,7}:{(12,1),(13,1),(55,1),(58,1)}
        33:{2,4,5,7}:{(12,1),(14,1),(15,1),(59,1)}
        34:{1,2,4,5,6}:{(13,1),(14,1),(16,1),(56,1),(60,1),(61,1),(64,1),(122,1),(126,1),(184,1),(190,1),(221,1),(222,1)}
        35:{2,3,6,7}:{(15,1),(59,1),(62,1),(128,1),(174,1)}
        36:{1,2,5,7}:{(15,1),(16,1),(17,1),(62,1),(63,1)}
        37:{1,3,5,6}:{(16,1),(18,1),(61,1),(63,1),(64,1),(66,1),(133,1),(190,1)}
        38:{1,3,7}:{(17,1),(18,1)}
        39:{1,3,4,6}:{(18,1),(19,1),(54,1),(64,1),(65,1),(66,1),(119,1),(133,1)}
        40:{3,4,5,7}:{(20,1),(69,1),(70,1),(71,1),(140,1),(225,1)}
        41:{1,4,5,6}:{(20,1),(21,1),(70,1),(98,1),(164,1)}
        42:{2,4,5,6}:{(20,1),(67,1),(71,1),(159,1),(207,1)}
        43:{1,3,5,7}:{(21,1),(22,1),(70,1),(73,1),(74,1),(140,1)}
        44:{1,2,5,6}:{(21,1),(23,1),(74,1),(75,1),(87,1),(156,1)}
        45:{1,2,4,7}:{(22,1),(23,1),(74,1),(76,1),(143,1)}
        46:{2,3,6}:{(23,1),(24,1),(76,1)}
        47:{2,3,4}:{(24,1),(28,1)}
        48:{2,3,4,6}:{(25,1),(67,1),(78,1),(79,1),(141,1)}
        49:{1,2,4,5}:{(25,1),(79,1),(80,1),(147,1),(193,1),(200,1)}
        50:{1,3,4,6}:{(26,1),(29,1),(81,1),(82,1),(95,1)}
        51:{1,2,4,5}:{(26,1),(82,1),(83,1),(147,1),(159,1),(200,1)}
        52:{1,2,3,5,6}:{(27,1),(37,1),(75,1),(84,1),(85,1),(87,1),(90,1),(136,1),(146,1),(153,1),(156,1),(200,1),(204,1),(205,1),(227,1)}
        53:{1,2,3,7}:{(27,1),(38,1),(76,1),(86,1)}
        54:{1,2,4,6}:{(27,1),(28,1),(39,1),(77,1),(86,1),(87,1),(156,1)}
        55:{1,3,5,7}:{(29,1),(32,1),(81,1),(88,1),(89,1),(94,1)}
        56:{1,2,5,6}:{(29,1),(82,1),(89,1),(90,1),(200,1),(227,1)}
        57:{3,5,6,7}:{(30,1),(31,1),(91,1),(92,1),(226,1)}
        58:{1,4,6,7}:{(31,1),(32,1),(88,1),(91,1),(224,1)}
        59:{2,4,6,7}:{(31,1),(33,1),(35,1),(92,1),(198,1)}
        60:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(36,1),(89,1),(93,1),(94,1),(97,1),(158,1),(163,1),(206,1),(208,1)}
        61:{3,5,6}:{(34,1),(94,1),(95,1),(153,1),(204,1)}
        62:{1,2,6,7}:{(35,1),(36,1),(96,1),(156,1)}
        63:{1,3,5,7}:{(36,1),(37,1),(38,1),(94,1),(96,1),(97,1),(163,1)}
        64:{1,4,6}:{(37,1),(95,1),(97,1),(98,1)}
        65:{1,3,4,7}:{(38,1),(39,1),(86,1),(97,1),(99,1),(152,1)}
        66:{1,3,5}:{(39,1),(87,1),(98,1),(153,1)}
        67:{2,3,5,6}:{(42,1),(48,1),(100,1),(101,1),(106,1),(180,1),(218,1)}
        68:{4,5,6,7}:{(102,1),(212,1),(222,1)}
        69:{3,4,6,7}:{(40,1),(102,1),(103,1),(104,1),(169,1),(189,1),(212,1)}
        70:{1,4,5,7}:{(40,1),(41,1),(43,1),(103,1)}
        71:{2,4,5,7}:{(40,1),(42,1),(100,1),(104,1)}
        72:{1,2,4,5,6}:{(41,1),(42,1),(44,1),(101,1),(105,1),(106,1),(109,1),(122,1),(167,1),(184,1),(215,1),(229,1),(230,1)}
        73:{1,3,6,7}:{(43,1),(103,1),(107,1),(133,1),(169,1)}
        74:{1,2,5,7}:{(43,1),(44,1),(45,1),(107,1),(108,1)}
        75:{2,3,5,6}:{(44,1),(46,1),(106,1),(108,1),(109,1),(111,1),(174,1),(215,1)}
        76:{2,3,7}:{(45,1),(46,1)}
        77:{2,3,4,6}:{(46,1),(47,1),(54,1),(109,1),(110,1),(111,1),(119,1),(174,1)}
        78:{2,3,4,7}:{(48,1),(100,1),(113,1),(170,1)}
        79:{1,2,4,6}:{(48,1),(49,1),(101,1),(113,1),(114,1),(167,1)}
        80:{1,3,5}:{(49,1),(114,1),(115,1)}
        81:{1,3,4,7}:{(50,1),(55,1),(116,1),(129,1)}
        82:{1,2,4,6}:{(50,1),(51,1),(56,1),(116,1),(117,1),(126,1)}
        83:{2,3,5}:{(51,1),(117,1),(118,1)}
        84:{1,2,3,5,7}:{(52,1),(53,1),(63,1),(108,1),(120,1),(121,1),(123,1),(125,1),(166,1),(175,1),(182,1),(183,1),(216,1)}
        85:{1,2,4,6}:{(52,1),(64,1),(109,1),(119,1),(121,1),(122,1),(126,1),(167,1)}
        86:{1,2,4,7}:{(53,1),(54,1),(65,1),(110,1),(123,1)}
        87:{1,2,5}:{(54,1),(66,1),(111,1)}
        88:{1,3,6,7}:{(55,1),(58,1),(124,1),(128,1),(217,1)}
        89:{1,2,5,7}:{(55,1),(56,1),(116,1),(124,1),(125,1)}
        90:{2,3,5,6}:{(56,1),(61,1),(117,1),(125,1),(126,1),(180,1),(218,1),(221,1)}
        91:{1,5,6,7}:{(57,1),(58,1),(229,1)}
        92:{2,5,6,7}:{(57,1),(59,1),(215,1)}
        93:{1,2,4,6,7}:{(58,1),(59,1),(60,1),(62,1),(124,1),(127,1),(128,1),(131,1),(184,1),(185,1),(187,1)}
        94:{3,5,7}:{(60,1),(61,1),(128,1),(129,1)}
        95:{3,4,6}:{(61,1),(64,1),(126,1),(129,1),(130,1)}
        96:{1,3,6,7}:{(62,1),(63,1),(128,1),(131,1),(133,1)}
        97:{1,4,7}:{(63,1),(64,1),(129,1)}
        98:{1,4,5}:{(64,1),(66,1),(130,1)}
        99:{1,3,5,7}:{(65,1),(66,1),(123,1),(132,1),(133,1),(182,1)}
       100:{2,3,5,7}:{(67,1),(71,1),(78,1),(134,1),(135,1),(140,1)}
       101:{1,2,5,6}:{(67,1),(79,1),(135,1),(136,1),(200,1),(227,1)}
       102:{3,5,6,7}:{(68,1),(69,1),(137,1),(138,1),(209,1)}
       103:{1,4,6,7}:{(69,1),(70,1),(73,1),(137,1),(164,1)}
       104:{2,4,6,7}:{(69,1),(71,1),(134,1),(138,1),(207,1)}
       105:{1,2,4,5,7}:{(70,1),(71,1),(72,1),(74,1),(135,1),(139,1),(140,1),(143,1),(192,1),(197,1),(223,1),(225,1)}
       106:{3,5,6}:{(72,1),(140,1),(141,1),(153,1),(204,1)}
       107:{1,2,6,7}:{(73,1),(74,1),(142,1),(156,1)}
       108:{2,3,5,7}:{(74,1),(75,1),(76,1),(140,1),(142,1),(143,1),(197,1)}
       109:{2,4,6}:{(75,1),(141,1),(143,1),(144,1)}
       110:{2,3,4,7}:{(76,1),(77,1),(86,1),(143,1),(145,1),(152,1)}
       111:{2,3,5}:{(77,1),(87,1),(144,1),(153,1)}
       112:{1,2,3,5}:{(80,1),(83,1),(146,1),(147,1),(200,1)}
       113:{1,2,4,7}:{(78,1),(79,1),(135,1),(148,1),(192,1)}
       114:{1,3,6}:{(79,1),(80,1),(148,1)}
       115:{1,3,4}:{(80,1),(147,1)}
       116:{1,2,4,7}:{(81,1),(82,1),(89,1),(150,1),(158,1)}
       117:{2,3,6}:{(82,1),(83,1),(150,1)}
       118:{2,3,4}:{(83,1),(147,1)}
       119:{3,4,6}:{(85,1),(152,1),(153,1),(204,1)}
       120:{1,2,3,6,7}:{(84,1),(96,1),(142,1),(154,1),(156,1),(157,1),(191,1),(204,1),(227,1)}
       121:{1,2,4,7}:{(84,1),(85,1),(97,1),(143,1),(152,1),(158,1),(192,1)}
       122:{1,2,4,5}:{(85,1),(87,1),(98,1),(144,1),(153,1),(159,1),(193,1),(200,1)}
       123:{1,2,5,7}:{(86,1),(87,1),(99,1),(145,1),(156,1)}
       124:{1,2,6,7}:{(88,1),(89,1),(157,1),(227,1)}
       125:{2,3,5,7}:{(89,1),(90,1),(94,1),(150,1),(157,1),(158,1),(206,1)}
       126:{2,4,6}:{(90,1),(95,1),(158,1),(159,1)}
       127:{1,2,5,6,7}:{(91,1),(92,1),(93,1),(160,1),(163,1),(205,1),(206,1)}
       128:{3,6,7}:{(93,1),(94,1),(204,1)}
       129:{3,4,7}:{(94,1),(95,1),(97,1),(158,1)}
       130:{3,4,5}:{(95,1),(98,1),(153,1),(159,1)}
       131:{1,4,6,7}:{(96,1),(97,1),(161,1),(163,1),(164,1)}
       132:{1,4,5,7}:{(97,1),(98,1),(99,1),(162,1),(163,1),(164,1)}
       133:{1,3,6}:{(99,1),(156,1),(164,1),(204,1)}
       134:{2,3,6,7}:{(100,1),(104,1),(165,1),(169,1),(218,1)}
       135:{1,2,5,7}:{(100,1),(101,1),(113,1),(165,1),(166,1)}
       136:{1,3,5,6}:{(101,1),(106,1),(114,1),(166,1),(167,1),(178,1),(217,1),(229,1)}
       137:{1,5,6,7}:{(102,1),(103,1),(190,1)}
       138:{2,5,6,7}:{(102,1),(104,1),(221,1)}
       139:{1,2,4,6,7}:{(103,1),(104,1),(105,1),(107,1),(165,1),(168,1),(169,1),(172,1),(184,1),(210,1),(212,1)}
       140:{3,5,7}:{(105,1),(106,1),(169,1),(170,1)}
       141:{3,4,6}:{(106,1),(109,1),(167,1),(170,1),(171,1)}
       142:{2,3,6,7}:{(107,1),(108,1),(169,1),(172,1),(174,1)}
       143:{2,4,7}:{(108,1),(109,1),(170,1)}
       144:{2,4,5}:{(109,1),(111,1),(171,1)}
       145:{2,3,5,7}:{(110,1),(111,1),(123,1),(173,1),(174,1),(182,1)}
       146:{1,2,3,6}:{(112,1),(114,1),(117,1),(175,1),(176,1)}
       147:{1,2,4}:{(112,1),(115,1),(118,1)}
       148:{1,3,7}:{(113,1),(114,1)}
       149:{1,3,4,6}:{(114,1),(115,1),(119,1),(167,1),(176,1),(177,1),(178,1),(217,1)}
       150:{2,3,7}:{(116,1),(117,1)}
       151:{2,3,4,6}:{(117,1),(118,1),(119,1),(126,1),(176,1),(179,1),(180,1),(218,1)}
       152:{3,4,7}:{(119,1),(121,1),(182,1)}
       153:{3,5}:{(119,1),(122,1)}
       154:{1,2,4,6,7}:{(120,1),(121,1),(131,1),(172,1),(181,1),(183,1),(184,1),(185,1),(210,1)}
       155:{1,2,4,5,7}:{(121,1),(122,1),(123,1),(132,1),(173,1),(182,1),(183,1),(184,1),(186,1),(211,1),(216,1),(219,1)}
       156:{1,2,6}:{(123,1),(133,1),(174,1)}
       157:{2,3,6,7}:{(124,1),(125,1),(128,1),(185,1),(218,1)}
       158:{2,4,7}:{(125,1),(126,1),(129,1)}
       159:{2,4,5}:{(126,1),(130,1),(180,1)}
       160:{3,5,6,7}:{(127,1),(128,1),(187,1),(188,1),(220,1)}
       161:{3,4,6,7}:{(128,1),(129,1),(131,1),(185,1),(187,1),(188,1),(189,1)}
       162:{3,4,5,7}:{(129,1),(130,1),(132,1),(182,1),(186,1),(188,1),(189,1),(219,1)}
       163:{1,5,7}:{(131,1),(188,1),(190,1)}
       164:{1,4,6}:{(132,1),(133,1),(189,1),(190,1)}
       165:{1,2,6,7}:{(134,1),(135,1),(191,1),(227,1)}
       166:{1,3,5,7}:{(135,1),(136,1),(140,1),(148,1),(191,1),(192,1),(223,1)}
       167:{1,4,6}:{(136,1),(141,1),(192,1),(193,1)}
       168:{1,2,5,6,7}:{(137,1),(138,1),(139,1),(194,1),(197,1),(205,1),(223,1)}
       169:{3,6,7}:{(139,1),(140,1),(204,1)}
       170:{3,4,7}:{(140,1),(141,1),(143,1),(192,1)}
       171:{3,4,5}:{(141,1),(144,1),(153,1),(193,1)}
       172:{2,4,6,7}:{(142,1),(143,1),(195,1),(197,1),(198,1)}
       173:{2,4,5,7}:{(143,1),(144,1),(145,1),(196,1),(197,1),(198,1)}
       174:{2,3,6}:{(145,1),(156,1),(198,1),(204,1)}
       175:{1,2,3,7}:{(146,1),(148,1),(150,1),(199,1)}
       176:{1,2,4,6}:{(146,1),(147,1),(149,1),(151,1),(199,1),(200,1),(227,1)}
       177:{1,3,4,7}:{(148,1),(149,1),(152,1),(192,1),(199,1),(201,1)}
       178:{1,3,5}:{(149,1),(153,1),(193,1),(200,1)}
       179:{2,3,4,7}:{(150,1),(151,1),(152,1),(158,1),(199,1),(202,1)}
       180:{2,3,5}:{(151,1),(153,1),(159,1),(200,1)}
       181:{3,4,6,7}:{(152,1),(154,1),(203,1),(204,1),(228,1)}
       182:{3,5,7}:{(152,1),(153,1),(155,1),(204,1)}
       183:{1,2,5,7}:{(154,1),(163,1),(197,1),(203,1),(205,1),(206,1),(223,1)}
       184:{1,2,4,6}:{(155,1),(156,1),(164,1),(198,1),(204,1),(205,1),(207,1),(224,1),(227,1),(228,1)}
       185:{2,4,6,7}:{(157,1),(158,1),(161,1),(206,1),(207,1)}
       186:{2,4,5,7}:{(158,1),(159,1),(162,1),(202,1),(206,1),(207,1)}
       187:{4,6,7}:{(160,1),(208,1),(228,1)}
       188:{3,5,7}:{(161,1),(163,1),(206,1),(208,1),(209,1)}
       189:{3,4,6}:{(162,1),(164,1),(204,1),(207,1),(209,1),(228,1)}
       190:{1,5,6}:{(163,1),(164,1),(209,1)}
       191:{1,3,6,7}:{(165,1),(166,1),(169,1),(210,1),(217,1)}
       192:{1,4,7}:{(166,1),(167,1),(170,1)}
       193:{1,4,5}:{(167,1),(171,1),(178,1)}
       194:{3,5,6,7}:{(168,1),(169,1),(212,1),(213,1),(220,1)}
       195:{3,4,6,7}:{(169,1),(170,1),(172,1),(210,1),(212,1),(213,1),(214,1)}
       196:{3,4,5,7}:{(170,1),(171,1),(173,1),(182,1),(211,1),(213,1),(214,1),(219,1)}
       197:{2,5,7}:{(172,1),(213,1),(215,1)}
       198:{2,4,6}:{(173,1),(174,1),(214,1),(215,1)}
       199:{1,2,4,7}:{(175,1),(176,1),(177,1),(179,1),(216,1)}
       200:{1,2,5}:{(176,1),(178,1),(180,1)}
       201:{1,3,5,7}:{(177,1),(178,1),(182,1),(211,1),(216,1),(217,1)}
       202:{2,3,5,7}:{(179,1),(180,1),(182,1),(186,1),(216,1),(218,1)}
       203:{3,5,7}:{(181,1),(183,1),(219,1),(220,1)}
       204:{3,6}:{(182,1),(184,1)}
       205:{1,2,5,6}:{(183,1),(184,1),(190,1),(215,1),(220,1),(221,1),(229,1)}
       206:{2,5,7}:{(185,1),(188,1),(221,1)}
       207:{2,4,6}:{(186,1),(189,1),(218,1),(221,1)}
       208:{4,5,7}:{(187,1),(188,1),(222,1)}
       209:{3,5,6}:{(188,1),(189,1),(190,1),(221,1),(222,1)}
       210:{1,4,6,7}:{(191,1),(192,1),(195,1),(223,1),(224,1)}
       211:{1,4,5,7}:{(192,1),(193,1),(196,1),(201,1),(223,1),(224,1)}
       212:{4,6,7}:{(194,1),(225,1),(228,1)}
       213:{3,5,7}:{(195,1),(197,1),(223,1),(225,1),(226,1)}
       214:{3,4,6}:{(196,1),(198,1),(204,1),(224,1),(226,1),(228,1)}
       215:{2,5,6}:{(197,1),(198,1),(226,1)}
       216:{1,2,5,7}:{(199,1),(200,1),(201,1),(202,1),(227,1)}
       217:{1,3,6}:{(201,1),(204,1),(224,1),(227,1)}
       218:{2,3,6}:{(202,1),(204,1),(207,1),(227,1)}
       219:{4,5,7}:{(203,1),(228,1)}
       220:{3,5,6}:{(203,1),(204,1),(205,1),(228,1)}
       221:{2,5,6}:{(206,1),(207,1),(209,1)}
       222:{4,5,6}:{(208,1),(209,1),(228,1)}
       223:{1,5,7}:{(210,1),(213,1),(229,1)}
       224:{1,4,6}:{(211,1),(214,1),(217,1),(229,1)}
       225:{4,5,7}:{(212,1),(213,1),(230,1)}
       226:{3,5,6}:{(213,1),(214,1),(215,1),(229,1),(230,1)}
       227:{1,2,6}:{(216,1),(217,1),(218,1)}
       228:{4,6}:{(219,1),(220,1)}
       229:{1,5,6}:{(223,1),(224,1),(226,1)}
       230:{4,5,6}:{(225,1),(226,1),(228,1)}

1441 :   0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(25,1),(29,1),(31,1),(52,1),(58,1),(79,1),(86,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(38,1),(69,1),(96,1),(102,1)}
         2:{1,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(74,1),(101,1)}
         3:{1,3,5,6}:{(2,1),(8,1),(9,1),(27,1),(29,1)}
         4:{2,3,6,7}:{(1,1),(10,1),(29,1),(111,1),(115,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(114,1)}
         6:{1,4,5,7}:{(2,1),(9,1),(12,1),(79,1),(87,1)}
         7:{1,3,5,6,7}:{(3,1),(13,1),(14,1),(35,1),(37,1),(63,1),(123,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(40,1),(74,1)}
         9:{1,4,6}:{(3,1),(6,1),(18,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(125,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(45,1),(47,1),(74,1),(96,1),(103,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(49,1),(81,1),(83,1),(112,1)}
        14:{1,4,6,7}:{(7,1),(9,1),(22,1),(25,1),(79,1),(131,1)}
        15:{1,4,5,6}:{(9,1),(22,1),(27,1)}
        16:{2,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(27,1),(29,1),(30,1)}
        19:{2,4,7}:{(10,1),(28,1),(31,1),(132,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(111,1),(116,1)}
        21:{2,4,5,7}:{(12,1),(30,1),(33,1),(49,1),(80,1),(88,1)}
        22:{1,4,5,7}:{(14,1),(15,1),(35,1),(136,1)}
        23:{2,3,5,6,7}:{(13,1),(16,1),(36,1),(37,1),(64,1),(66,1),(98,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(36,1),(37,1),(38,1),(67,1),(69,1),(96,1),(121,1)}
        25:{3,4,6,7}:{(14,1),(18,1),(35,1),(37,1),(38,1),(62,1),(135,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(39,1),(40,1),(41,1),(65,1),(71,1),(72,1),(73,1),(74,1),(97,1),(103,1),(121,1),(136,1),(139,1)}
        27:{3,5,6}:{(15,1),(18,1),(35,1),(40,1)}
        28:{2,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{2,4,6}:{(18,1),(21,1),(40,1),(44,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(45,1),(126,1)}
        32:{1,3,5,7}:{(20,1),(43,1),(45,1),(47,1),(74,1),(77,1),(105,1)}
        33:{2,3,5,7}:{(20,1),(21,1),(44,1),(46,1),(47,1),(75,1)}
        34:{1,2,4,5,7}:{(22,1),(24,1),(26,1),(48,1),(49,1),(50,1),(79,1),(80,1),(81,1),(83,1)}
        35:{3,5,7}:{(22,1),(25,1),(27,1),(49,1),(138,1)}
        36:{2,4,6,7}:{(23,1),(28,1),(50,1),(51,1),(80,1),(109,1)}
        37:{3,6,7}:{(24,1),(29,1),(48,1),(111,1),(129,1)}
        38:{2,4,6,7}:{(25,1),(30,1),(49,1),(53,1),(80,1),(137,1)}
        39:{3,5,6}:{(26,1),(29,1),(48,1),(54,1),(57,1),(116,1),(129,1),(138,1)}
        40:{2,5,6}:{(27,1),(30,1),(49,1)}
        41:{2,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(58,1)}
        43:{1,3,6}:{(29,1),(32,1),(58,1),(60,1)}
        44:{2,3,6}:{(29,1),(30,1),(33,1),(60,1)}
        45:{1,4,7}:{(31,1),(32,1),(58,1),(117,1)}
        46:{2,3,4,7}:{(31,1),(33,1),(59,1),(61,1),(80,1),(111,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(37,1),(39,1),(62,1)}
        49:{2,5,7}:{(35,1),(38,1),(40,1),(139,1)}
        50:{2,4,5,7}:{(36,1),(41,1),(65,1),(66,1)}
        51:{3,4,6,7}:{(36,1),(37,1),(42,1),(62,1),(66,1),(67,1),(93,1)}
        52:{1,3,6,7}:{(37,1),(43,1),(63,1),(67,1),(69,1),(118,1)}
        53:{2,3,6,7}:{(37,1),(38,1),(44,1),(64,1),(69,1),(133,1)}
        54:{3,4,6}:{(39,1),(62,1),(70,1),(71,1),(72,1),(104,1),(126,1)}
        55:{1,3,5,6}:{(39,1),(43,1),(63,1),(71,1),(73,1),(74,1),(97,1),(101,1),(104,1),(105,1),(118,1)}
        56:{2,3,5,6}:{(39,1),(40,1),(44,1),(64,1),(72,1),(73,1),(75,1),(104,1),(125,1),(133,1),(139,1)}
        57:{3,5}:{(41,1),(42,1),(74,1)}
        58:{1,4,6}:{(42,1),(43,1),(45,1),(74,1)}
        59:{2,3,4,6}:{(42,1),(44,1),(46,1),(72,1),(75,1),(76,1),(104,1),(126,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(54,1),(79,1),(80,1),(111,1)}
        63:{1,3,5,7}:{(48,1),(52,1),(55,1),(79,1),(81,1),(83,1),(111,1)}
        64:{2,3,5,7}:{(48,1),(49,1),(53,1),(56,1),(80,1),(81,1),(111,1)}
        65:{2,4,5,6}:{(50,1),(82,1),(109,1)}
        66:{3,5,7}:{(50,1),(51,1),(57,1),(82,1),(83,1)}
        67:{1,4,6,7}:{(51,1),(52,1),(58,1),(79,1),(83,1),(108,1)}
        68:{2,3,4,6,7}:{(51,1),(53,1),(59,1),(80,1),(84,1),(85,1),(109,1),(111,1),(129,1),(130,1),(137,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(60,1),(81,1),(127,1)}
        70:{3,4,5}:{(54,1),(57,1),(87,1),(88,1),(116,1),(138,1)}
        71:{1,4,6}:{(54,1),(55,1),(79,1),(87,1),(117,1)}
        72:{2,4,6}:{(54,1),(56,1),(80,1),(88,1),(132,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(60,1),(81,1),(89,1),(90,1),(114,1),(127,1)}
        74:{1,5}:{(57,1),(58,1)}
        75:{2,3,5}:{(57,1),(59,1),(88,1),(90,1),(116,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{1,3,7}:{(61,1),(91,1),(111,1)}
        78:{3,4,5,7}:{(62,1),(66,1),(70,1),(93,1),(94,1),(95,1),(122,1)}
        79:{1,4,7}:{(62,1),(63,1),(71,1)}
        80:{2,4,7}:{(62,1),(64,1),(72,1)}
        81:{1,2,5,7}:{(63,1),(64,1),(69,1),(73,1),(96,1)}
        82:{3,5,6}:{(65,1),(66,1),(93,1),(97,1)}
        83:{1,5,7}:{(66,1),(67,1),(74,1),(97,1)}
        84:{2,3,5,7}:{(66,1),(68,1),(75,1),(95,1),(98,1),(99,1),(122,1),(139,1)}
        85:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(96,1),(99,1),(100,1),(121,1),(124,1)}
        86:{1,3,4,6}:{(71,1),(92,1),(101,1),(102,1),(104,1),(118,1),(126,1),(135,1)}
        87:{1,4,5}:{(70,1),(71,1),(74,1),(101,1)}
        88:{2,4,5}:{(70,1),(72,1),(75,1),(139,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(73,1),(96,1),(103,1),(104,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{1,3,6}:{(76,1),(77,1),(104,1),(105,1)}
        92:{1,3,4,7}:{(79,1),(86,1),(106,1),(107,1),(111,1),(130,1)}
        93:{3,4,6}:{(78,1),(82,1),(108,1),(109,1),(129,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(106,1),(108,1)}
        95:{2,4,5,7}:{(78,1),(80,1),(84,1),(88,1),(109,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(89,1),(111,1)}
        97:{1,5,6}:{(82,1),(83,1),(108,1)}
        98:{2,3,5,6}:{(82,1),(84,1),(109,1),(112,1),(129,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(85,1),(90,1),(112,1),(113,1)}
       100:{1,3,6,7}:{(85,1),(91,1),(111,1),(113,1),(129,1)}
       101:{1,3,5}:{(86,1),(87,1),(114,1),(116,1),(138,1)}
       102:{1,2,4,6}:{(86,1),(107,1),(114,1),(115,1),(127,1),(132,1),(137,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(89,1),(90,1),(114,1),(116,1),(117,1),(132,1)}
       104:{3,6}:{(89,1),(111,1),(116,1)}
       105:{1,3,5}:{(90,1),(91,1),(116,1),(117,1)}
       106:{1,3,5,7}:{(92,1),(94,1),(101,1),(118,1),(119,1),(122,1)}
       107:{1,2,4,7}:{(92,1),(102,1),(119,1),(120,1),(134,1)}
       108:{1,4,6}:{(93,1),(94,1),(97,1),(118,1)}
       109:{2,4,6}:{(93,1),(95,1),(98,1)}
       110:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(103,1),(119,1),(121,1),(122,1),(124,1),(134,1),(136,1),(139,1)}
       111:{3,7}:{(96,1),(104,1)}
       112:{1,2,5,6}:{(97,1),(98,1),(99,1),(121,1),(123,1),(139,1)}
       113:{1,3,5,7}:{(99,1),(100,1),(105,1),(122,1),(123,1),(124,1)}
       114:{1,2,5}:{(101,1),(102,1),(125,1),(139,1)}
       115:{2,3,6}:{(102,1),(104,1),(120,1),(125,1)}
       116:{3,5}:{(103,1),(104,1),(126,1)}
       117:{1,4}:{(105,1),(126,1)}
       118:{1,3,6}:{(106,1),(108,1),(127,1),(129,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(114,1),(127,1),(128,1)}
       120:{2,3,7}:{(107,1),(111,1),(115,1)}
       121:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1),(131,1),(137,1)}
       122:{3,5,7}:{(110,1),(111,1),(116,1),(129,1),(130,1),(138,1)}
       123:{1,3,5,6}:{(112,1),(113,1),(129,1),(131,1),(138,1)}
       124:{1,4,7}:{(113,1),(117,1),(130,1),(131,1)}
       125:{2,3,5}:{(114,1),(115,1),(116,1),(132,1)}
       126:{3,4}:{(116,1),(117,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{2,3,5,7}:{(119,1),(120,1),(122,1),(125,1),(133,1),(134,1),(139,1)}
       129:{3,6}:{(121,1),(122,1)}
       130:{3,4,7}:{(122,1),(124,1),(126,1),(134,1),(135,1)}
       131:{1,4,6}:{(123,1),(124,1),(135,1),(136,1)}
       132:{2,4}:{(125,1),(126,1)}
       133:{2,3,6}:{(127,1),(128,1),(129,1),(137,1)}
       134:{2,4,7}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,4,6}:{(129,1),(130,1),(131,1),(137,1),(138,1)}
       136:{1,4,5}:{(131,1),(138,1)}
       137:{2,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1442 :   0:{1,2,3,6,7}:{(2,1),(3,1),(37,1),(71,1),(72,1),(76,1),(80,1),(104,1)}
         1:{1,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(37,1),(41,1),(45,1),(71,1),(95,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(6,1),(8,1),(22,1),(61,1),(64,1),(83,1),(88,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(23,1),(57,1),(62,1),(86,1),(87,1),(93,1)}
         4:{1,3,5,7}:{(1,1),(6,1),(9,1),(10,1),(23,1),(59,1),(63,1)}
         5:{2,3,4,6,7}:{(2,1),(11,1),(15,1),(33,1),(37,1),(42,1),(67,1),(72,1),(96,1),(104,1)}
         6:{1,2,5,7}:{(2,1),(4,1),(11,1),(12,1),(79,1),(81,1),(94,1)}
         7:{1,2,3,5,6}:{(3,1),(12,1),(14,1),(37,1),(40,1),(74,1),(75,1),(76,1),(79,1),(80,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(95,1),(96,1),(100,1)}
         9:{1,3,5,6}:{(4,1),(12,1),(17,1),(37,1),(46,1)}
        10:{1,4,5,7}:{(4,1),(17,1),(18,1),(77,1),(95,1)}
        11:{2,3,5,7}:{(5,1),(6,1),(19,1),(20,1),(23,1),(60,1),(82,1)}
        12:{1,2,5,6}:{(6,1),(9,1),(19,1),(22,1),(65,1),(84,1)}
        13:{1,2,4,5,7}:{(6,1),(8,1),(10,1),(20,1),(22,1),(23,1),(24,1),(31,1),(51,1),(57,1),(92,1),(101,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(89,1),(90,1)}
        15:{3,4,7}:{(8,1),(23,1),(25,1),(103,1)}
        16:{1,3,5,6,7}:{(9,1),(21,1),(28,1),(53,1),(63,1),(86,1)}
        17:{1,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(23,1),(30,1),(31,1),(58,1),(63,1),(85,1)}
        19:{2,3,5,6}:{(11,1),(12,1),(33,1),(37,1),(68,1)}
        20:{2,4,5,7}:{(11,1),(33,1),(34,1),(78,1),(96,1)}
        21:{1,2,5,6,7}:{(12,1),(16,1),(32,1),(35,1),(81,1),(94,1),(97,1)}
        22:{1,2,4,6}:{(12,1),(13,1),(17,1),(33,1),(37,1),(47,1),(69,1),(76,1)}
        23:{3,5,7}:{(13,1),(15,1),(37,1),(40,1),(99,1),(104,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(77,1),(78,1),(79,1)}
        25:{3,4,6}:{(14,1),(15,1),(37,1),(40,1)}
        26:{1,3,4,7}:{(15,1),(38,1),(41,1),(43,1),(95,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(39,1),(42,1),(43,1),(96,1),(104,1)}
        28:{1,4,6,7}:{(16,1),(17,1),(44,1),(45,1),(95,1)}
        29:{1,4,5,6}:{(17,1),(44,1),(46,1)}
        30:{3,4,6}:{(17,1),(18,1),(37,1),(46,1),(47,1)}
        31:{2,4,5,7}:{(18,1),(39,1),(47,1),(78,1),(81,1),(96,1)}
        32:{2,3,5,6,7}:{(19,1),(21,1),(48,1),(53,1),(82,1),(87,1)}
        33:{2,4,6}:{(19,1),(20,1),(50,1)}
        34:{3,4,5,7}:{(20,1),(23,1),(50,1),(51,1),(58,1),(82,1),(85,1)}
        35:{1,2,4,6,7}:{(21,1),(22,1),(28,1),(48,1),(52,1),(53,1),(64,1),(83,1),(88,1),(101,1)}
        36:{1,2,4,5,6}:{(22,1),(24,1),(29,1),(49,1),(52,1),(54,1),(65,1),(84,1),(89,1),(90,1),(91,1)}
        37:{3,6}:{(22,1),(23,1)}
        38:{1,3,5,7}:{(23,1),(26,1),(51,1),(55,1),(57,1),(59,1)}
        39:{2,3,5,7}:{(23,1),(27,1),(31,1),(56,1),(57,1),(60,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(55,1),(59,1),(61,1),(89,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(27,1),(56,1),(60,1),(61,1),(90,1),(102,1),(103,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(57,1),(61,1),(62,1)}
        44:{1,4,5,7}:{(28,1),(29,1),(63,1)}
        45:{3,4,6,7}:{(28,1),(30,1),(53,1),(63,1),(64,1),(85,1)}
        46:{3,5,6}:{(29,1),(30,1),(63,1),(65,1)}
        47:{2,4,6}:{(30,1),(31,1),(56,1),(65,1)}
        48:{2,4,6,7}:{(32,1),(33,1),(66,1),(67,1),(96,1)}
        49:{2,4,5,6}:{(33,1),(66,1),(68,1)}
        50:{3,4,6}:{(33,1),(34,1),(37,1),(68,1),(69,1)}
        51:{1,4,5,7}:{(34,1),(38,1),(69,1),(77,1),(94,1),(95,1)}
        52:{1,2,4,5,7}:{(35,1),(36,1),(44,1),(66,1),(70,1),(81,1),(94,1),(95,1),(96,1),(97,1)}
        53:{3,6,7}:{(35,1),(37,1),(70,1),(104,1)}
        54:{3,5,6}:{(36,1),(37,1),(40,1),(70,1),(73,1)}
        55:{1,3,6}:{(37,1),(38,1),(69,1),(76,1)}
        56:{2,3,6}:{(37,1),(39,1),(47,1),(76,1)}
        57:{1,2,5,7}:{(38,1),(39,1),(43,1),(76,1),(79,1)}
        58:{3,4,5}:{(40,1),(73,1),(77,1),(78,1),(99,1)}
        59:{1,3,5}:{(40,1),(41,1),(77,1),(79,1),(99,1)}
        60:{2,3,5}:{(40,1),(42,1),(78,1),(79,1),(99,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(43,1),(76,1),(79,1),(80,1),(100,1)}
        62:{1,2,3,7}:{(43,1),(80,1),(104,1)}
        63:{3,5,7}:{(44,1),(45,1),(46,1),(81,1)}
        64:{2,4,6,7}:{(45,1),(47,1),(72,1),(81,1),(96,1)}
        65:{2,5,6}:{(46,1),(47,1),(81,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(82,1)}
        67:{3,4,6,7}:{(48,1),(50,1),(53,1),(82,1),(83,1),(85,1)}
        68:{3,5,6}:{(49,1),(50,1),(82,1),(84,1)}
        69:{1,4,6}:{(50,1),(51,1),(55,1),(84,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{1,3,6,7}:{(53,1),(55,1),(83,1),(86,1),(88,1)}
        72:{2,3,6,7}:{(53,1),(56,1),(64,1),(87,1),(88,1)}
        73:{3,4,6}:{(54,1),(58,1),(85,1),(89,1),(90,1),(102,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(59,1),(84,1),(86,1),(89,1),(91,1),(102,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(60,1),(65,1),(87,1),(90,1),(91,1),(102,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{1,4,5}:{(58,1),(59,1),(89,1)}
        78:{2,4,5}:{(58,1),(60,1),(90,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(62,1),(93,1),(102,1)}
        81:{2,5,7}:{(63,1),(64,1),(65,1)}
        82:{3,5,7}:{(66,1),(67,1),(68,1),(94,1)}
        83:{1,4,6,7}:{(67,1),(69,1),(71,1),(94,1),(95,1)}
        84:{1,5,6}:{(68,1),(69,1),(94,1)}
        85:{3,4,7}:{(70,1),(73,1),(95,1),(96,1),(104,1)}
        86:{1,3,5,7}:{(70,1),(71,1),(74,1),(94,1),(95,1),(97,1),(104,1)}
        87:{2,3,5,7}:{(70,1),(72,1),(75,1),(81,1),(96,1),(97,1),(104,1)}
        88:{1,2,6,7}:{(71,1),(72,1),(76,1),(97,1)}
        89:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        90:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        91:{1,2,5,6}:{(74,1),(75,1),(76,1),(79,1),(97,1),(98,1)}
        92:{1,2,4,5}:{(77,1),(78,1),(79,1),(98,1),(99,1),(100,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(99,1),(100,1)}
        94:{1,5,7}:{(82,1),(83,1),(84,1)}
        95:{1,4,7}:{(85,1),(86,1),(89,1)}
        96:{2,4,7}:{(85,1),(87,1),(90,1)}
        97:{1,2,5,7}:{(86,1),(87,1),(88,1),(91,1),(101,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(92,1),(101,1),(102,1)}
        99:{3,5}:{(92,1),(102,1),(103,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       102:{3,6}:{(98,1),(99,1),(104,1)}
       103:{3,4}:{(99,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1443 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(66,1),(119,1)}
         1:{1,3,4,6}:{(4,1),(5,1),(6,1),(18,1),(26,1),(27,1),(64,1),(66,1)}
         2:{1,2,3,5}:{(0,1),(9,1),(11,1),(34,1),(38,1),(89,1)}
         3:{1,2,3,7}:{(0,1),(10,1),(98,1),(147,1),(186,1)}
         4:{1,2,4,6}:{(0,1),(1,1),(7,1),(9,1),(10,1),(11,1),(42,1)}
         5:{1,3,4,7}:{(1,1),(10,1),(13,1),(37,1),(48,1),(98,1),(188,1)}
         6:{1,3,5}:{(1,1),(11,1),(12,1),(38,1),(96,1)}
         7:{2,3,4,6}:{(4,1),(16,1),(17,1),(18,1),(55,1),(56,1),(64,1),(66,1)}
         8:{1,2,3,5,7}:{(2,1),(3,1),(19,1),(20,1),(22,1),(58,1),(65,1),(67,1),(116,1),(118,1)}
         9:{1,2,4}:{(2,1),(18,1)}
        10:{1,2,4,7}:{(3,1),(4,1),(5,1),(16,1),(22,1),(205,1)}
        11:{1,2,5}:{(4,1),(6,1),(17,1)}
        12:{1,4,5}:{(6,1),(24,1),(26,1),(126,1)}
        13:{1,3,5,7}:{(5,1),(6,1),(22,1),(25,1),(27,1),(65,1),(207,1),(228,1)}
        14:{1,3,5,6}:{(6,1),(23,1),(26,1),(27,1),(28,1),(29,1),(66,1),(75,1),(127,1)}
        15:{1,4,5,6}:{(26,1),(29,1),(30,1),(75,1),(132,1)}
        16:{2,3,4,7}:{(7,1),(10,1),(32,1),(37,1),(85,1),(98,1),(187,1)}
        17:{2,3,5}:{(7,1),(11,1),(31,1),(38,1),(96,1)}
        18:{3,4}:{(9,1),(38,1)}
        19:{1,2,3,6}:{(8,1),(39,1),(42,1),(97,1),(146,1)}
        20:{1,2,4,7}:{(8,1),(9,1),(37,1),(39,1),(144,1)}
        21:{1,2,4,5}:{(9,1),(11,1),(12,1),(31,1),(38,1),(41,1),(44,1),(81,1),(89,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(13,1),(32,1),(42,1),(218,1),(230,1)}
        23:{1,2,5,6}:{(11,1),(14,1),(33,1),(41,1),(42,1),(43,1),(50,1),(136,1)}
        24:{3,4,5}:{(12,1),(38,1),(44,1),(46,1)}
        25:{1,4,5,7}:{(12,1),(13,1),(45,1),(47,1),(48,1),(105,1),(192,1),(222,1)}
        26:{1,4,6}:{(12,1),(14,1),(46,1),(48,1),(154,1)}
        27:{1,3,6}:{(13,1),(42,1),(47,1),(97,1)}
        28:{1,3,5,7}:{(14,1),(43,1),(48,1),(49,1),(51,1),(98,1),(105,1),(155,1)}
        29:{3,5,6}:{(15,1),(46,1),(50,1),(51,1)}
        30:{1,4,5,7}:{(15,1),(48,1),(51,1),(52,1),(105,1),(158,1)}
        31:{2,4,5}:{(17,1),(53,1),(55,1),(126,1)}
        32:{2,3,5,7}:{(16,1),(17,1),(22,1),(54,1),(56,1),(65,1),(206,1),(227,1)}
        33:{2,3,5,6}:{(17,1),(23,1),(55,1),(56,1),(57,1),(66,1),(108,1),(114,1),(127,1)}
        34:{1,2,3}:{(59,1)}
        35:{2,3,4}:{(18,1),(59,1),(61,1)}
        36:{1,3,4}:{(18,1),(59,1),(63,1)}
        37:{3,4,7}:{(18,1),(20,1),(64,1),(65,1),(167,1),(177,1)}
        38:{3,5}:{(18,1),(21,1),(66,1)}
        39:{1,2,4,6}:{(19,1),(20,1),(64,1),(67,1)}
        40:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(25,1),(54,1),(65,1),(67,1),(68,1),(69,1),(71,1),(110,1),(118,1),(126,1),(129,1),(168,1),(177,1),(209,1)}
        41:{1,2,4,6}:{(21,1),(23,1),(26,1),(55,1),(66,1),(69,1),(72,1),(111,1),(119,1)}
        42:{1,2,6}:{(22,1),(27,1),(56,1)}
        43:{1,2,5,7}:{(23,1),(28,1),(57,1),(69,1),(70,1),(77,1),(160,1)}
        44:{2,4,5}:{(24,1),(61,1),(72,1)}
        45:{3,4,5,7}:{(24,1),(25,1),(65,1),(71,1),(73,1),(74,1),(126,1),(133,1),(171,1),(177,1),(211,1)}
        46:{3,4,6}:{(24,1),(26,1),(29,1),(66,1),(72,1),(74,1)}
        47:{1,4,6}:{(25,1),(27,1),(73,1),(75,1)}
        48:{1,4,7}:{(26,1),(28,1),(74,1),(177,1)}
        49:{1,3,6,7}:{(27,1),(28,1),(70,1),(76,1),(78,1),(128,1),(228,1)}
        50:{2,5,6}:{(29,1),(72,1),(77,1)}
        51:{3,5,7}:{(29,1),(30,1),(74,1),(77,1),(78,1)}
        52:{1,4,6,7}:{(30,1),(78,1),(79,1),(135,1)}
        53:{3,4,5}:{(31,1),(38,1),(81,1),(83,1)}
        54:{2,4,5,7}:{(31,1),(32,1),(82,1),(84,1),(85,1),(143,1),(195,1),(223,1)}
        55:{2,4,6}:{(31,1),(33,1),(83,1),(85,1),(154,1)}
        56:{2,3,6}:{(32,1),(42,1),(84,1),(97,1)}
        57:{2,3,5,7}:{(33,1),(43,1),(85,1),(86,1),(98,1),(137,1),(143,1),(155,1)}
        58:{1,2,3,7}:{(34,1),(87,1),(88,1),(221,1),(230,1)}
        59:{1,2,4}:{(34,1),(35,1),(36,1),(89,1)}
        60:{2,3,4,7}:{(35,1),(37,1),(88,1),(90,1),(91,1),(194,1),(221,1)}
        61:{2,3,5}:{(35,1),(38,1),(44,1),(89,1),(92,1)}
        62:{1,3,4,7}:{(36,1),(37,1),(88,1),(93,1),(94,1),(197,1),(221,1)}
        63:{1,3,5}:{(36,1),(38,1),(81,1),(89,1),(95,1)}
        64:{3,4,6}:{(37,1),(39,1),(96,1),(97,1),(154,1)}
        65:{3,5,7}:{(37,1),(38,1),(40,1),(96,1),(97,1),(98,1),(189,1),(221,1)}
        66:{3,6}:{(38,1),(41,1),(98,1)}
        67:{1,2,5}:{(39,1),(96,1)}
        68:{1,2,4,6}:{(40,1),(42,1),(47,1),(84,1),(97,1),(99,1),(101,1),(139,1),(146,1),(154,1)}
        69:{1,2,4,7}:{(41,1),(43,1),(48,1),(85,1),(98,1),(102,1),(140,1),(147,1)}
        70:{1,2,6,7}:{(42,1),(43,1),(49,1),(86,1),(106,1),(181,1),(230,1)}
        71:{2,4,5,7}:{(44,1),(45,1),(91,1),(101,1),(102,1),(148,1),(157,1),(194,1)}
        72:{2,4,6}:{(44,1),(46,1),(50,1),(92,1),(102,1)}
        73:{3,4,6}:{(45,1),(47,1),(97,1),(101,1),(103,1),(154,1)}
        74:{3,4,7}:{(46,1),(48,1),(51,1),(98,1),(102,1)}
        75:{1,5,6}:{(47,1),(103,1),(105,1)}
        76:{1,4,6,7}:{(47,1),(48,1),(49,1),(104,1),(105,1),(200,1),(222,1)}
        77:{2,5,7}:{(50,1),(51,1),(102,1),(106,1)}
        78:{3,6,7}:{(51,1),(52,1),(106,1)}
        79:{1,5,6,7}:{(52,1),(105,1),(107,1),(200,1)}
        80:{2,4,5,6}:{(55,1),(108,1),(109,1),(114,1),(165,1)}
        81:{1,4,5}:{(53,1),(63,1),(111,1)}
        82:{3,4,5,7}:{(53,1),(54,1),(65,1),(110,1),(112,1),(113,1),(126,1),(166,1),(174,1),(177,1),(213,1)}
        83:{3,4,6}:{(53,1),(55,1),(66,1),(108,1),(111,1),(113,1)}
        84:{2,4,6}:{(54,1),(56,1),(112,1),(114,1)}
        85:{2,4,7}:{(55,1),(57,1),(113,1),(177,1)}
        86:{2,3,6,7}:{(56,1),(57,1),(70,1),(115,1),(128,1),(161,1),(227,1)}
        87:{1,2,3,6}:{(58,1),(116,1),(117,1),(208,1),(226,1)}
        88:{1,2,4,7}:{(58,1),(59,1),(60,1),(62,1),(117,1),(118,1)}
        89:{1,2,5}:{(59,1),(61,1),(63,1),(119,1)}
        90:{2,3,4,6}:{(60,1),(64,1),(117,1),(120,1),(121,1),(167,1),(172,1),(208,1)}
        91:{2,3,5,7}:{(60,1),(61,1),(65,1),(71,1),(118,1),(120,1),(121,1),(122,1)}
        92:{2,3,6}:{(61,1),(66,1),(72,1),(119,1),(122,1)}
        93:{1,3,4,6}:{(62,1),(64,1),(117,1),(123,1),(124,1),(167,1),(175,1),(208,1)}
        94:{1,3,5,7}:{(62,1),(63,1),(65,1),(110,1),(118,1),(123,1),(124,1),(125,1)}
        95:{1,3,6}:{(63,1),(66,1),(111,1),(119,1),(125,1)}
        96:{3,5}:{(64,1),(67,1),(126,1)}
        97:{3,6}:{(65,1),(68,1)}
        98:{3,7}:{(66,1),(69,1)}
        99:{1,2,5,6}:{(67,1),(68,1),(75,1),(114,1),(127,1),(129,1),(130,1),(163,1)}
       100:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(76,1),(115,1),(128,1),(129,1),(131,1),(164,1),(170,1),(177,1),(209,1)}
       101:{2,4,6}:{(71,1),(73,1),(121,1),(130,1)}
       102:{2,4,7}:{(72,1),(74,1),(77,1),(122,1)}
       103:{3,5,6}:{(73,1),(75,1),(130,1),(132,1),(133,1)}
       104:{3,4,6,7}:{(73,1),(74,1),(76,1),(78,1),(128,1),(131,1),(133,1),(135,1),(177,1),(180,1),(211,1)}
       105:{1,5,7}:{(75,1),(76,1),(133,1)}
       106:{2,6,7}:{(77,1),(78,1)}
       107:{3,5,6,7}:{(78,1),(79,1),(133,1),(134,1),(135,1),(180,1)}
       108:{3,5,6}:{(80,1),(83,1),(136,1),(137,1)}
       109:{2,4,5,7}:{(80,1),(85,1),(137,1),(138,1),(143,1),(185,1)}
       110:{1,4,5,7}:{(81,1),(82,1),(94,1),(139,1),(140,1),(151,1),(184,1),(197,1)}
       111:{1,4,6}:{(81,1),(83,1),(95,1),(136,1),(140,1)}
       112:{3,4,6}:{(82,1),(84,1),(97,1),(139,1),(141,1),(154,1)}
       113:{3,4,7}:{(83,1),(85,1),(98,1),(137,1),(140,1)}
       114:{2,5,6}:{(84,1),(141,1),(143,1)}
       115:{2,4,6,7}:{(84,1),(85,1),(86,1),(142,1),(143,1),(223,1),(229,1)}
       116:{1,2,3,5}:{(87,1),(144,1),(145,1),(186,1),(189,1),(218,1)}
       117:{1,2,4,6}:{(87,1),(88,1),(90,1),(93,1),(144,1),(145,1),(146,1)}
       118:{1,2,5,7}:{(88,1),(89,1),(91,1),(94,1),(145,1),(146,1),(147,1)}
       119:{1,2,6}:{(89,1),(92,1),(95,1),(147,1)}
       120:{2,3,5}:{(90,1),(96,1),(145,1),(148,1),(189,1)}
       121:{2,3,6}:{(91,1),(97,1),(101,1),(146,1)}
       122:{2,3,7}:{(92,1),(98,1),(102,1),(147,1)}
       123:{1,3,5}:{(93,1),(96,1),(145,1),(151,1),(189,1)}
       124:{1,3,6}:{(94,1),(97,1),(139,1),(146,1)}
       125:{1,3,7}:{(95,1),(98,1),(140,1),(147,1)}
       126:{4,5}:{(96,1),(154,1)}
       127:{3,5,6}:{(96,1),(97,1),(99,1),(154,1),(155,1)}
       128:{3,6,7}:{(97,1),(98,1),(100,1),(155,1),(221,1)}
       129:{1,2,5,7}:{(99,1),(100,1),(105,1),(143,1),(155,1),(157,1),(184,1)}
       130:{2,5,6}:{(101,1),(103,1),(157,1)}
       131:{2,4,6,7}:{(101,1),(102,1),(104,1),(106,1),(150,1),(157,1),(194,1)}
       132:{4,5,6}:{(103,1),(154,1),(158,1)}
       133:{3,5,7}:{(103,1),(104,1),(105,1),(157,1),(158,1)}
       134:{2,5,6,7}:{(106,1),(107,1),(157,1),(159,1)}
       135:{4,6,7}:{(107,1),(158,1)}
       136:{1,5,6}:{(108,1),(111,1),(160,1)}
       137:{3,5,7}:{(108,1),(109,1),(113,1),(160,1),(161,1)}
       138:{2,4,6,7}:{(109,1),(161,1),(162,1),(202,1)}
       139:{1,4,6}:{(110,1),(112,1),(124,1),(163,1)}
       140:{1,4,7}:{(111,1),(113,1),(125,1),(160,1)}
       141:{3,5,6}:{(112,1),(114,1),(163,1),(165,1),(166,1)}
       142:{3,4,6,7}:{(112,1),(113,1),(115,1),(128,1),(161,1),(164,1),(166,1),(177,1),(202,1),(213,1),(224,1)}
       143:{2,5,7}:{(114,1),(115,1),(166,1)}
       144:{1,2,4}:{(116,1),(167,1)}
       145:{1,2,5}:{(117,1),(120,1),(123,1)}
       146:{1,2,6}:{(118,1),(121,1),(124,1)}
       147:{1,2,7}:{(119,1),(122,1),(125,1)}
       148:{2,4,5}:{(120,1),(126,1),(171,1),(172,1)}
       149:{2,3,5,6}:{(120,1),(121,1),(127,1),(130,1),(169,1),(172,1),(173,1),(178,1),(208,1)}
       150:{2,3,6,7}:{(121,1),(122,1),(128,1),(131,1),(170,1),(173,1),(180,1)}
       151:{1,4,5}:{(123,1),(126,1),(174,1),(175,1)}
       152:{1,3,5,6}:{(123,1),(124,1),(127,1),(163,1),(169,1),(175,1),(176,1),(203,1),(208,1)}
       153:{1,3,6,7}:{(124,1),(125,1),(128,1),(164,1),(170,1),(176,1),(224,1)}
       154:{4,6}:{(126,1),(127,1),(177,1)}
       155:{3,5,7}:{(127,1),(128,1),(129,1),(177,1)}
       156:{2,4,5,6}:{(130,1),(132,1),(172,1),(178,1),(179,1)}
       157:{2,5,7}:{(130,1),(131,1),(133,1)}
       158:{4,5,7}:{(132,1),(133,1),(135,1),(177,1)}
       159:{2,4,6,7}:{(134,1),(135,1),(179,1),(180,1)}
       160:{1,5,7}:{(136,1),(137,1),(140,1),(181,1)}
       161:{3,6,7}:{(137,1),(138,1),(181,1)}
       162:{2,5,6,7}:{(138,1),(143,1),(182,1),(229,1)}
       163:{1,5,6}:{(139,1),(141,1),(184,1)}
       164:{1,4,6,7}:{(139,1),(140,1),(142,1),(153,1),(181,1),(184,1),(197,1)}
       165:{4,5,6}:{(141,1),(154,1),(185,1)}
       166:{3,5,7}:{(141,1),(142,1),(143,1),(184,1),(185,1)}
       167:{3,4}:{(144,1),(189,1)}
       168:{1,2,4,5}:{(144,1),(145,1),(148,1),(151,1),(189,1),(190,1),(192,1),(195,1),(218,1)}
       169:{1,2,5,6}:{(145,1),(146,1),(149,1),(152,1),(190,1),(191,1),(198,1),(216,1)}
       170:{1,2,6,7}:{(146,1),(147,1),(150,1),(153,1),(191,1),(200,1),(229,1)}
       171:{3,4,5}:{(148,1),(189,1),(192,1),(193,1)}
       172:{2,4,6}:{(148,1),(149,1),(154,1),(193,1),(194,1)}
       173:{2,3,5,7}:{(149,1),(150,1),(155,1),(157,1),(191,1),(194,1),(199,1),(221,1)}
       174:{3,4,5}:{(151,1),(189,1),(195,1),(196,1)}
       175:{1,4,6}:{(151,1),(152,1),(154,1),(196,1),(197,1)}
       176:{1,3,5,7}:{(152,1),(153,1),(155,1),(184,1),(191,1),(197,1),(217,1),(221,1)}
       177:{4,7}:{(154,1),(155,1)}
       178:{3,5,6}:{(156,1),(193,1),(198,1),(199,1)}
       179:{2,4,5,7}:{(156,1),(157,1),(158,1),(159,1),(194,1),(199,1)}
       180:{3,6,7}:{(159,1),(199,1),(200,1)}
       181:{1,6,7}:{(160,1),(161,1)}
       182:{3,5,6,7}:{(161,1),(162,1),(166,1),(201,1),(202,1),(224,1)}
       183:{1,4,5,6}:{(163,1),(165,1),(175,1),(203,1),(204,1)}
       184:{1,5,7}:{(163,1),(164,1),(166,1)}
       185:{4,5,7}:{(165,1),(166,1),(177,1),(202,1)}
       186:{1,2,3}:{(205,1)}
       187:{2,3,4}:{(167,1),(205,1),(206,1)}
       188:{1,3,4}:{(167,1),(205,1),(207,1)}
       189:{3,5}:{(167,1),(168,1),(208,1)}
       190:{1,2,4,6}:{(168,1),(169,1),(172,1),(175,1),(208,1),(209,1),(210,1),(212,1),(226,1)}
       191:{1,2,5,7}:{(169,1),(170,1),(173,1),(176,1),(209,1),(214,1),(225,1)}
       192:{1,4,5}:{(171,1),(207,1),(210,1)}
       193:{3,4,6}:{(171,1),(172,1),(178,1),(208,1),(210,1),(211,1)}
       194:{2,4,7}:{(172,1),(173,1),(177,1),(211,1)}
       195:{2,4,5}:{(174,1),(206,1),(212,1)}
       196:{3,4,6}:{(174,1),(175,1),(203,1),(208,1),(212,1),(213,1)}
       197:{1,4,7}:{(175,1),(176,1),(177,1),(213,1)}
       198:{1,5,6}:{(178,1),(210,1),(214,1)}
       199:{3,5,7}:{(178,1),(179,1),(180,1),(211,1),(214,1)}
       200:{1,6,7}:{(180,1),(214,1)}
       201:{1,5,6,7}:{(181,1),(182,1),(184,1),(215,1)}
       202:{4,6,7}:{(182,1),(185,1)}
       203:{3,5,6}:{(183,1),(196,1),(216,1),(217,1)}
       204:{1,4,5,7}:{(183,1),(184,1),(185,1),(197,1),(215,1),(217,1)}
       205:{1,2,4}:{(186,1),(187,1),(188,1),(218,1)}
       206:{2,3,5}:{(187,1),(189,1),(195,1),(218,1),(219,1)}
       207:{1,3,5}:{(188,1),(189,1),(192,1),(218,1),(220,1)}
       208:{3,6}:{(189,1),(190,1),(221,1)}
       209:{1,2,4,7}:{(190,1),(191,1),(194,1),(197,1),(221,1),(222,1),(223,1),(230,1)}
       210:{1,4,6}:{(192,1),(193,1),(198,1),(220,1),(222,1)}
       211:{3,4,7}:{(193,1),(194,1),(199,1),(221,1),(222,1)}
       212:{2,4,6}:{(195,1),(196,1),(216,1),(219,1),(223,1)}
       213:{3,4,7}:{(196,1),(197,1),(217,1),(221,1),(223,1)}
       214:{1,5,7}:{(198,1),(199,1),(200,1),(222,1)}
       215:{1,4,6,7}:{(201,1),(202,1),(204,1),(224,1)}
       216:{2,5,6}:{(203,1),(212,1),(225,1)}
       217:{3,5,7}:{(203,1),(204,1),(213,1),(224,1),(225,1)}
       218:{1,2,5}:{(205,1),(206,1),(207,1),(226,1)}
       219:{2,3,6}:{(206,1),(208,1),(212,1),(226,1),(227,1)}
       220:{1,3,6}:{(207,1),(208,1),(210,1),(226,1),(228,1)}
       221:{3,7}:{(208,1),(209,1)}
       222:{1,4,7}:{(210,1),(211,1),(214,1),(228,1)}
       223:{2,4,7}:{(212,1),(213,1),(225,1),(227,1)}
       224:{3,6,7}:{(215,1),(217,1),(229,1)}
       225:{2,5,7}:{(216,1),(217,1),(223,1),(229,1)}
       226:{1,2,6}:{(218,1),(219,1),(220,1),(230,1)}
       227:{2,3,7}:{(219,1),(221,1),(223,1),(230,1)}
       228:{1,3,7}:{(220,1),(221,1),(222,1),(230,1)}
       229:{2,6,7}:{(224,1),(225,1)}
       230:{1,2,7}:{(226,1),(227,1),(228,1)}

1444 :   0:{2,3,4,5,7}:{(4,1),(5,1),(7,1),(51,1),(65,1),(97,1),(104,1),(109,1),(112,1),(117,1)}
         1:{2,3,4,6,7}:{(5,1),(6,1),(7,1),(9,1),(32,1),(65,1),(70,1)}
         2:{2,3,5,6,7}:{(7,1),(8,1),(9,1),(10,1),(32,1),(108,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(158,1)}
         4:{1,2,4,5,7}:{(0,1),(11,1),(12,1),(15,1),(34,1),(44,1),(75,1),(79,1)}
         5:{2,3,4,6}:{(0,1),(12,1),(13,1),(80,1),(135,1),(138,1),(143,1)}
         6:{1,2,4,6,7}:{(1,1),(12,1),(14,1),(15,1),(44,1)}
         7:{2,3,5,7}:{(1,1),(13,1),(15,1),(16,1),(45,1),(95,1)}
         8:{1,2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(20,1),(84,1),(95,1)}
         9:{2,4,6,7}:{(2,1),(16,1),(19,1),(135,1)}
        10:{3,5,6,7}:{(3,1),(19,1),(20,1),(180,1)}
        11:{1,3,5,7}:{(4,1),(22,1),(23,1),(56,1),(112,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(23,1),(24,1),(57,1)}
        13:{2,3,5,6}:{(5,1),(7,1),(24,1),(25,1),(58,1),(97,1),(120,1)}
        14:{1,3,6,7}:{(6,1),(23,1),(28,1),(32,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(24,1),(28,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(25,1),(30,1)}
        17:{1,3,5,6,7}:{(8,1),(28,1),(31,1),(32,1),(63,1),(69,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(29,1),(31,1),(32,1),(33,1),(70,1),(71,1),(111,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(30,1),(32,1),(33,1),(160,1)}
        20:{1,5,6,7}:{(10,1),(33,1),(196,1)}
        21:{1,2,3,5,7}:{(11,1),(34,1),(35,1),(72,1),(75,1)}
        22:{1,3,4,7}:{(11,1),(34,1),(37,1),(44,1),(86,1)}
        23:{1,3,6}:{(11,1),(12,1),(138,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(15,1),(38,1),(75,1)}
        25:{2,4,5,6}:{(13,1),(16,1),(40,1),(123,1),(135,1)}
        26:{1,2,3,6,7}:{(14,1),(35,1),(41,1),(42,1),(50,1),(121,1),(138,1),(183,1),(185,1)}
        27:{1,3,4,6,7}:{(14,1),(37,1),(41,1),(43,1),(44,1),(48,1),(86,1),(88,1),(138,1)}
        28:{1,3,5,7}:{(14,1),(15,1),(38,1),(44,1),(45,1)}
        29:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(46,1),(47,1),(91,1),(92,1),(95,1)}
        30:{3,4,5,7}:{(16,1),(19,1),(40,1),(45,1),(46,1)}
        31:{1,4,6,7}:{(17,1),(44,1),(47,1),(48,1),(88,1)}
        32:{3,6,7}:{(18,1),(45,1),(138,1)}
        33:{1,4,6,7}:{(19,1),(20,1),(46,1),(49,1),(182,1)}
        34:{1,2,4,7}:{(21,1),(22,1),(51,1),(53,1)}
        35:{1,2,3,6}:{(21,1),(23,1),(53,1),(96,1)}
        36:{1,3,4,5,7}:{(22,1),(52,1),(55,1),(56,1),(64,1),(102,1),(112,1),(148,1),(161,1),(186,1)}
        37:{1,3,4,6}:{(22,1),(23,1),(53,1),(56,1),(57,1),(101,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(28,1),(56,1),(57,1),(58,1)}
        39:{1,2,4,5,6}:{(24,1),(25,1),(29,1),(57,1),(58,1),(59,1),(68,1),(100,1),(106,1),(107,1),(111,1),(120,1)}
        40:{3,4,5,6}:{(25,1),(30,1),(58,1),(59,1),(148,1),(160,1)}
        41:{1,2,4,6,7}:{(26,1),(27,1),(53,1),(60,1),(61,1),(62,1),(70,1),(111,1),(197,1)}
        42:{1,2,3,5,7}:{(26,1),(28,1),(54,1),(61,1),(62,1),(67,1),(112,1),(146,1),(165,1),(166,1),(190,1)}
        43:{1,3,5,7}:{(27,1),(56,1),(61,1),(63,1),(64,1),(69,1),(112,1)}
        44:{1,4,7}:{(28,1),(57,1),(65,1)}
        45:{3,5,7}:{(29,1),(32,1),(58,1),(65,1)}
        46:{1,4,5,7}:{(30,1),(33,1),(59,1),(66,1)}
        47:{1,4,5,7}:{(31,1),(68,1),(69,1)}
        48:{3,4,6,7}:{(31,1),(32,1),(65,1),(69,1),(70,1),(116,1)}
        49:{1,3,6,7}:{(32,1),(33,1),(66,1),(71,1),(163,1)}
        50:{2,3,6,7}:{(32,1),(67,1),(70,1),(71,1),(164,1)}
        51:{2,3,4,7}:{(34,1),(72,1),(73,1),(86,1),(168,1)}
        52:{1,2,4,5,7}:{(34,1),(36,1),(72,1),(74,1),(75,1),(123,1),(124,1),(168,1)}
        53:{1,2,4,6}:{(34,1),(35,1),(37,1),(73,1),(75,1)}
        54:{1,2,3,5,6}:{(35,1),(38,1),(42,1),(75,1),(76,1),(82,1),(84,1),(122,1),(126,1),(138,1),(173,1),(175,1),(176,1),(185,1)}
        55:{1,3,4,6}:{(36,1),(74,1),(78,1),(88,1),(138,1),(169,1),(182,1)}
        56:{1,3,5}:{(37,1),(75,1),(79,1),(126,1)}
        57:{1,4,6}:{(38,1),(44,1),(79,1),(80,1)}
        58:{3,5,6}:{(39,1),(45,1),(80,1),(126,1),(138,1)}
        59:{1,4,5,6}:{(40,1),(46,1),(81,1),(170,1),(182,1)}
        60:{2,3,4,6,7}:{(41,1),(73,1),(83,1),(86,1),(121,1),(135,1),(138,1),(168,1),(181,1)}
        61:{1,2,5,7}:{(41,1),(43,1),(75,1),(83,1),(84,1),(95,1),(205,1)}
        62:{1,2,4,7}:{(42,1),(44,1),(76,1),(86,1),(91,1),(168,1),(199,1)}
        63:{1,3,5,6}:{(43,1),(84,1),(88,1),(94,1),(138,1)}
        64:{1,4,5,7}:{(43,1),(44,1),(79,1),(88,1),(89,1)}
        65:{3,4,7}:{(44,1),(45,1),(80,1),(91,1)}
        66:{1,3,5,7}:{(45,1),(46,1),(49,1),(81,1),(90,1),(92,1)}
        67:{2,3,5,7}:{(45,1),(50,1),(82,1),(91,1),(92,1),(95,1),(144,1)}
        68:{1,4,5,6}:{(47,1),(88,1),(94,1)}
        69:{3,5,7}:{(47,1),(48,1),(94,1),(95,1)}
        70:{2,4,6,7}:{(48,1),(50,1),(91,1),(95,1),(143,1)}
        71:{1,2,6,7}:{(49,1),(50,1),(92,1),(185,1)}
        72:{2,3,5,7}:{(51,1),(52,1),(96,1),(97,1),(112,1)}
        73:{2,3,4,6}:{(51,1),(53,1),(96,1),(97,1),(101,1),(147,1)}
        74:{1,2,4,6}:{(52,1),(55,1),(96,1),(99,1),(147,1)}
        75:{1,2,5}:{(53,1),(56,1),(97,1)}
        76:{1,2,4,6}:{(54,1),(57,1),(62,1),(100,1),(101,1),(106,1),(147,1),(187,1)}
        77:{1,3,4,6,7}:{(55,1),(98,1),(102,1),(115,1),(162,1),(186,1),(197,1)}
        78:{1,3,5,6}:{(55,1),(56,1),(99,1),(102,1),(103,1),(150,1),(196,1)}
        79:{1,4,5}:{(56,1),(57,1),(104,1)}
        80:{3,4,6}:{(57,1),(58,1),(65,1),(104,1),(106,1)}
        81:{1,3,5,6}:{(58,1),(59,1),(66,1),(105,1),(107,1),(151,1),(163,1)}
        82:{2,3,5,6}:{(58,1),(67,1),(106,1),(107,1),(120,1),(152,1),(157,1),(164,1)}
        83:{2,3,5,7}:{(60,1),(61,1),(97,1),(108,1),(109,1),(112,1),(195,1)}
        84:{1,2,5,6}:{(61,1),(63,1),(108,1),(111,1),(120,1),(196,1)}
        85:{1,2,4,5,7}:{(61,1),(62,1),(64,1),(100,1),(109,1),(111,1),(112,1),(117,1),(161,1),(165,1)}
        86:{3,4,7}:{(62,1),(101,1),(112,1)}
        87:{1,3,5,6,7}:{(63,1),(102,1),(110,1),(115,1),(119,1),(162,1)}
        88:{1,4,6}:{(63,1),(64,1),(116,1)}
        89:{3,4,5,7}:{(64,1),(65,1),(69,1),(104,1),(112,1),(116,1),(117,1)}
        90:{1,3,4,7}:{(65,1),(66,1),(105,1),(118,1)}
        91:{2,4,7}:{(65,1),(67,1),(106,1)}
        92:{1,2,5,7}:{(66,1),(67,1),(71,1),(107,1),(118,1)}
        93:{1,4,5,6,7}:{(68,1),(115,1),(119,1)}
        94:{3,5,6}:{(68,1),(69,1),(116,1),(120,1)}
        95:{2,5,7}:{(69,1),(70,1),(120,1)}
        96:{2,3,6}:{(72,1),(74,1),(138,1)}
        97:{2,3,5}:{(73,1),(75,1),(123,1),(126,1)}
        98:{1,2,4,6,7}:{(74,1),(77,1),(121,1),(124,1),(168,1)}
        99:{1,2,5,6}:{(74,1),(75,1),(78,1),(122,1),(124,1)}
       100:{1,2,4,5}:{(75,1),(76,1),(79,1),(123,1),(126,1),(132,1),(170,1),(175,1)}
       101:{3,4,6}:{(76,1),(86,1),(126,1),(138,1)}
       102:{1,3,5,7}:{(77,1),(78,1),(124,1),(129,1),(172,1),(205,1)}
       103:{1,4,5,6}:{(78,1),(79,1),(88,1),(129,1),(130,1)}
       104:{3,4,5}:{(79,1),(80,1),(126,1),(132,1)}
       105:{1,3,4,6}:{(80,1),(81,1),(90,1),(131,1),(133,1)}
       106:{2,4,6}:{(80,1),(82,1),(91,1),(132,1)}
       107:{1,2,5,6}:{(81,1),(82,1),(92,1),(133,1),(175,1),(185,1)}
       108:{2,3,5,6}:{(83,1),(84,1),(135,1),(138,1),(180,1)}
       109:{2,4,5,7}:{(83,1),(123,1),(135,1),(136,1),(168,1)}
       110:{1,2,5,6,7}:{(84,1),(87,1),(124,1),(134,1),(137,1),(145,1),(205,1)}
       111:{1,2,4,6}:{(84,1),(85,1),(88,1),(135,1),(138,1),(143,1),(182,1),(185,1)}
       112:{3,5,7}:{(85,1),(86,1),(126,1),(138,1)}
       113:{1,3,4,7}:{(86,1),(127,1),(139,1),(141,1),(199,1),(209,1)}
       114:{2,3,4,7}:{(86,1),(91,1),(128,1),(140,1),(141,1),(144,1)}
       115:{1,4,6,7}:{(87,1),(88,1),(129,1),(142,1)}
       116:{3,4,6}:{(88,1),(89,1),(94,1),(138,1),(143,1)}
       117:{2,4,5,7}:{(89,1),(91,1),(95,1),(132,1),(140,1),(143,1)}
       118:{1,2,4,7}:{(90,1),(91,1),(92,1),(133,1),(144,1)}
       119:{3,5,6,7}:{(93,1),(94,1),(142,1),(145,1)}
       120:{2,5,6}:{(94,1),(95,1),(143,1)}
       121:{2,3,6,7}:{(96,1),(98,1),(146,1),(162,1)}
       122:{2,3,5,6}:{(96,1),(97,1),(99,1),(146,1),(147,1),(150,1)}
       123:{2,4,5}:{(97,1),(147,1),(148,1)}
       124:{1,2,5,7}:{(98,1),(99,1),(102,1),(146,1)}
       125:{1,2,4,5,6}:{(99,1),(100,1),(103,1),(111,1),(147,1),(149,1),(150,1),(155,1),(158,1),(187,1),(192,1),(196,1)}
       126:{3,5}:{(100,1),(101,1)}
       127:{1,3,4,6}:{(101,1),(113,1),(151,1),(153,1),(163,1),(187,1),(207,1),(208,1)}
       128:{2,3,4,6}:{(101,1),(106,1),(114,1),(152,1),(153,1),(157,1),(164,1),(194,1)}
       129:{1,4,5,7}:{(102,1),(103,1),(115,1),(154,1)}
       130:{3,4,5,6}:{(103,1),(104,1),(116,1),(150,1),(154,1),(155,1)}
       131:{1,3,4,5}:{(104,1),(105,1),(151,1),(156,1),(208,1)}
       132:{2,4,5}:{(104,1),(106,1),(152,1)}
       133:{1,2,4,6}:{(105,1),(106,1),(107,1),(118,1),(156,1),(157,1)}
       134:{2,3,5,6,7}:{(108,1),(110,1),(146,1),(159,1),(162,1),(195,1)}
       135:{2,4,6}:{(108,1),(109,1),(160,1)}
       136:{3,4,5,7}:{(109,1),(112,1),(148,1),(160,1),(161,1),(186,1),(195,1)}
       137:{1,2,4,6,7}:{(110,1),(111,1),(115,1),(149,1),(159,1),(162,1),(167,1),(197,1),(198,1)}
       138:{3,6}:{(111,1),(112,1)}
       139:{1,3,5,7}:{(112,1),(113,1),(151,1),(161,1),(163,1),(165,1)}
       140:{2,3,5,7}:{(112,1),(114,1),(117,1),(152,1),(164,1),(165,1)}
       141:{1,2,4,7}:{(113,1),(114,1),(153,1),(165,1),(166,1)}
       142:{3,4,6,7}:{(115,1),(116,1),(119,1),(154,1),(162,1),(167,1)}
       143:{2,4,6}:{(116,1),(117,1),(120,1),(164,1)}
       144:{2,3,7}:{(118,1),(157,1)}
       145:{2,5,6,7}:{(119,1),(120,1),(167,1)}
       146:{2,3,5,7}:{(121,1),(122,1),(124,1),(168,1),(172,1)}
       147:{2,4,6}:{(122,1),(123,1),(168,1),(169,1)}
       148:{3,4,5}:{(123,1),(126,1),(169,1),(170,1)}
       149:{1,2,4,5,7}:{(124,1),(125,1),(129,1),(137,1),(168,1),(172,1),(177,1),(179,1),(199,1),(203,1),(205,1)}
       150:{3,5,6}:{(125,1),(126,1),(138,1),(169,1),(172,1)}
       151:{1,3,5}:{(126,1),(127,1),(170,1),(175,1)}
       152:{2,3,5}:{(126,1),(128,1),(132,1),(175,1)}
       153:{1,2,4,6}:{(127,1),(128,1),(141,1),(175,1),(176,1),(185,1),(204,1)}
       154:{3,4,5,7}:{(129,1),(130,1),(142,1),(172,1),(177,1)}
       155:{2,4,5,6}:{(130,1),(132,1),(143,1),(174,1),(177,1)}
       156:{1,2,4,5}:{(131,1),(132,1),(133,1),(175,1),(178,1),(204,1)}
       157:{2,3,6}:{(133,1),(144,1),(178,1)}
       158:{2,4,5,6}:{(135,1),(179,1),(180,1)}
       159:{2,4,6,7}:{(134,1),(135,1),(168,1),(179,1),(181,1)}
       160:{3,4,6}:{(135,1),(136,1),(138,1),(180,1),(182,1)}
       161:{1,4,5,7}:{(136,1),(139,1),(170,1),(182,1),(199,1),(205,1)}
       162:{3,6,7}:{(137,1),(138,1),(172,1)}
       163:{1,3,6}:{(138,1),(139,1),(182,1),(185,1)}
       164:{2,3,6}:{(138,1),(140,1),(143,1),(185,1)}
       165:{1,2,5,7}:{(139,1),(140,1),(141,1),(175,1),(185,1)}
       166:{1,2,3,7}:{(141,1),(144,1),(176,1),(209,1)}
       167:{2,4,6,7}:{(142,1),(143,1),(145,1),(177,1),(184,1)}
       168:{2,4,7}:{(146,1),(147,1),(186,1)}
       169:{3,4,6}:{(147,1),(148,1),(150,1),(186,1),(187,1)}
       170:{1,4,5}:{(148,1),(151,1),(187,1)}
       171:{2,3,4,5}:{(148,1),(152,1),(188,1),(189,1),(194,1)}
       172:{3,5,7}:{(149,1),(150,1),(162,1),(186,1)}
       173:{1,3,5,6}:{(150,1),(151,1),(163,1),(187,1),(190,1),(192,1),(196,1),(207,1)}
       174:{2,3,5,6}:{(150,1),(152,1),(155,1),(164,1),(188,1),(191,1),(192,1)}
       175:{1,2,5}:{(151,1),(152,1),(153,1)}
       176:{1,2,3,6}:{(153,1),(157,1),(166,1),(193,1),(207,1)}
       177:{2,4,5,7}:{(154,1),(155,1),(167,1),(191,1)}
       178:{2,3,5}:{(156,1),(157,1),(194,1)}
       179:{2,4,5,7}:{(158,1),(159,1),(195,1)}
       180:{3,5,6}:{(158,1),(160,1),(195,1),(196,1)}
       181:{3,4,6,7}:{(159,1),(160,1),(162,1),(186,1),(195,1),(197,1)}
       182:{1,4,6}:{(160,1),(161,1),(163,1),(196,1)}
       183:{1,3,6,7}:{(162,1),(163,1),(190,1),(197,1),(198,1)}
       184:{2,3,6,7}:{(162,1),(164,1),(167,1),(191,1),(198,1)}
       185:{1,2,6}:{(163,1),(164,1),(165,1)}
       186:{3,4,7}:{(168,1),(169,1),(172,1),(199,1)}
       187:{1,4,6}:{(169,1),(170,1),(173,1),(199,1)}
       188:{2,3,4,6}:{(169,1),(171,1),(174,1),(200,1),(201,1)}
       189:{1,2,4,5}:{(170,1),(171,1),(175,1),(201,1),(202,1),(204,1)}
       190:{1,3,5,7}:{(172,1),(173,1),(183,1),(199,1),(203,1),(205,1),(209,1)}
       191:{2,3,5,7}:{(172,1),(174,1),(177,1),(184,1),(200,1),(203,1)}
       192:{1,2,5,6}:{(173,1),(174,1),(175,1),(185,1),(201,1),(203,1)}
       193:{1,2,3,5}:{(175,1),(176,1),(178,1),(202,1),(204,1)}
       194:{2,3,4}:{(178,1),(204,1)}
       195:{3,5,7}:{(179,1),(180,1),(181,1),(205,1)}
       196:{1,5,6}:{(180,1),(182,1),(205,1)}
       197:{1,4,6,7}:{(181,1),(182,1),(183,1),(199,1),(205,1)}
       198:{1,2,6,7}:{(183,1),(184,1),(185,1),(203,1)}
       199:{1,4,7}:{(186,1),(187,1),(190,1)}
       200:{2,3,4,7}:{(186,1),(188,1),(191,1),(206,1)}
       201:{1,2,4,6}:{(187,1),(188,1),(189,1),(192,1),(206,1),(207,1)}
       202:{1,3,5}:{(189,1),(207,1),(208,1)}
       203:{1,2,5,7}:{(190,1),(191,1),(192,1),(198,1),(206,1)}
       204:{1,2,4}:{(193,1),(194,1),(208,1)}
       205:{1,5,7}:{(195,1),(196,1),(197,1)}
       206:{1,2,4,7}:{(199,1),(200,1),(201,1),(203,1),(209,1)}
       207:{1,3,6}:{(201,1),(202,1),(209,1)}
       208:{1,3,4}:{(202,1),(204,1)}
       209:{1,3,7}:{(206,1),(207,1)}

1445 :   0:{1,4,5,6}:{(4,1),(5,1),(29,1),(31,1),(86,1)}
         1:{1,3,4,6}:{(6,1),(7,1),(8,1),(29,1),(40,1),(85,1),(90,1),(129,1),(144,1)}
         2:{3,4,5}:{(11,1),(13,1),(14,1),(61,1)}
         3:{1,5,6,7}:{(10,1),(15,1),(97,1),(112,1)}
         4:{1,4,5,7}:{(0,1),(15,1),(16,1),(52,1),(54,1),(112,1)}
         5:{3,5,6}:{(0,1),(11,1),(16,1),(18,1)}
         6:{1,3,5}:{(1,1),(13,1),(20,1),(61,1),(153,1),(166,1)}
         7:{1,3,4,7}:{(1,1),(19,1),(21,1),(54,1),(111,1),(115,1),(119,1),(152,1)}
         8:{1,2,4,6}:{(1,1),(20,1),(21,1),(22,1),(66,1),(68,1),(123,1)}
         9:{2,3,4}:{(24,1),(26,1),(90,1)}
        10:{3,5,6,7}:{(3,1),(23,1),(27,1),(36,1),(70,1),(81,1)}
        11:{3,4,6}:{(2,1),(5,1),(28,1),(29,1),(30,1),(85,1)}
        12:{3,4,5,7}:{(2,1),(28,1),(32,1),(33,1),(34,1),(77,1),(81,1),(89,1),(124,1),(180,1),(183,1)}
        13:{1,4,5}:{(2,1),(6,1),(29,1),(183,1)}
        14:{2,4,5}:{(2,1),(24,1),(30,1)}
        15:{1,4,6,7}:{(3,1),(4,1),(27,1),(36,1)}
        16:{3,5,7}:{(4,1),(5,1),(28,1),(36,1),(38,1)}
        17:{1,3,5,6}:{(5,1),(6,1),(29,1),(37,1),(39,1),(40,1),(85,1),(86,1),(143,1)}
        18:{2,5,6}:{(5,1),(30,1),(38,1)}
        19:{1,3,5,7}:{(6,1),(7,1),(33,1),(40,1),(41,1),(89,1),(135,1),(169,1),(173,1)}
        20:{1,2,5}:{(6,1),(8,1),(42,1),(147,1)}
        21:{1,2,4,7}:{(7,1),(8,1),(41,1),(43,1),(95,1),(138,1)}
        22:{2,3,6}:{(8,1),(42,1),(43,1),(85,1)}
        23:{2,5,6,7}:{(10,1),(44,1),(63,1),(113,1)}
        24:{2,3,5}:{(9,1),(14,1),(45,1),(48,1),(61,1)}
        25:{2,3,4,7}:{(9,1),(47,1),(49,1),(50,1),(119,1),(149,1),(186,1),(203,1)}
        26:{1,2,4}:{(9,1),(48,1),(51,1),(106,1)}
        27:{4,6,7}:{(10,1),(52,1)}
        28:{3,4,7}:{(11,1),(16,1),(54,1),(55,1),(115,1)}
        29:{1,4,6}:{(11,1),(13,1),(17,1),(54,1),(165,1)}
        30:{2,4,6}:{(11,1),(14,1),(18,1),(45,1),(55,1)}
        31:{4,5,6}:{(52,1),(57,1),(165,1)}
        32:{3,4,6}:{(12,1),(57,1),(58,1),(59,1),(118,1),(165,1)}
        33:{1,4,5,7}:{(12,1),(13,1),(19,1),(54,1),(58,1),(107,1),(112,1),(148,1)}
        34:{2,4,5,7}:{(12,1),(14,1),(47,1),(55,1),(59,1),(108,1),(113,1),(149,1)}
        35:{1,2,4,5}:{(13,1),(14,1),(20,1),(48,1),(56,1),(61,1),(68,1),(106,1),(122,1),(153,1)}
        36:{3,6,7}:{(15,1),(16,1),(63,1)}
        37:{1,3,5,7}:{(16,1),(17,1),(54,1),(62,1),(64,1),(112,1),(115,1),(162,1)}
        38:{2,5,7}:{(16,1),(18,1),(55,1),(63,1)}
        39:{1,2,5,6}:{(17,1),(18,1),(20,1),(56,1),(64,1),(65,1),(66,1),(153,1),(189,1)}
        40:{1,3,6}:{(19,1),(58,1),(66,1),(118,1),(189,1)}
        41:{1,2,5,7}:{(19,1),(20,1),(21,1),(66,1),(67,1),(158,1),(185,1)}
        42:{2,3,5}:{(20,1),(22,1),(61,1),(68,1)}
        43:{2,3,7}:{(21,1),(22,1),(115,1),(161,1)}
        44:{2,4,6,7}:{(23,1),(27,1),(69,1),(70,1)}
        45:{2,3,6}:{(24,1),(30,1),(71,1),(72,1),(85,1)}
        46:{2,4,5,6}:{(31,1),(69,1),(73,1),(87,1),(131,1)}
        47:{2,3,5,7}:{(24,1),(25,1),(34,1),(71,1),(74,1),(75,1),(78,1),(89,1),(207,1)}
        48:{1,2,5}:{(24,1),(26,1),(72,1),(76,1)}
        49:{2,3,4,6}:{(25,1),(74,1),(78,1),(79,1),(131,1),(144,1),(175,1),(179,1),(200,1)}
        50:{1,2,4,7}:{(25,1),(26,1),(75,1),(79,1),(80,1),(134,1)}
        51:{1,3}:{(26,1)}
        52:{4,5,7}:{(27,1),(31,1),(81,1),(180,1)}
        53:{3,4,6,7}:{(27,1),(28,1),(32,1),(36,1),(70,1),(81,1),(82,1),(83,1),(124,1),(140,1),(180,1)}
        54:{1,4,7}:{(28,1),(29,1),(37,1),(180,1)}
        55:{2,4,7}:{(28,1),(30,1),(38,1),(71,1)}
        56:{1,2,4,6}:{(29,1),(30,1),(35,1),(39,1),(72,1),(84,1),(85,1),(93,1),(129,1)}
        57:{3,5,6}:{(31,1),(32,1),(81,1),(86,1),(87,1)}
        58:{1,4,6}:{(32,1),(33,1),(40,1),(86,1)}
        59:{2,4,6}:{(32,1),(34,1),(74,1),(87,1)}
        60:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(41,1),(75,1),(84,1),(88,1),(89,1),(95,1),(134,1),(136,1),(139,1),(146,1),(147,1),(170,1),(173,1),(177,1),(180,1),(183,1),(198,1),(207,1)}
        61:{3,5}:{(35,1),(85,1),(90,1)}
        62:{1,3,6,7}:{(36,1),(37,1),(40,1),(82,1),(91,1),(140,1),(169,1)}
        63:{2,6,7}:{(36,1),(38,1)}
        64:{1,2,5,7}:{(37,1),(38,1),(39,1),(84,1),(91,1),(92,1),(173,1)}
        65:{2,3,5,6}:{(39,1),(42,1),(85,1),(92,1),(93,1),(94,1),(142,1),(143,1),(147,1),(182,1),(184,1)}
        66:{1,2,6}:{(40,1),(41,1),(94,1)}
        67:{2,3,5,7}:{(41,1),(42,1),(43,1),(89,1),(94,1),(95,1),(147,1),(178,1),(196,1),(207,1)}
        68:{2,4}:{(42,1),(90,1)}
        69:{2,4,5,7}:{(44,1),(46,1),(52,1),(96,1),(113,1),(149,1)}
        70:{3,6,7}:{(44,1),(96,1),(97,1)}
        71:{2,3,7}:{(45,1),(55,1),(99,1),(115,1)}
        72:{1,2,6}:{(45,1),(48,1),(99,1),(100,1)}
        73:{3,5,6}:{(46,1),(96,1),(101,1),(102,1)}
        74:{2,3,6}:{(47,1),(59,1),(104,1),(118,1),(209,1)}
        75:{1,2,5,7}:{(47,1),(48,1),(50,1),(99,1),(104,1),(105,1),(109,1)}
        76:{1,3,5}:{(48,1),(51,1),(61,1),(100,1),(106,1),(153,1)}
        77:{3,4,5}:{(101,1),(107,1),(108,1),(159,1)}
        78:{2,3,5}:{(49,1),(108,1),(109,1),(159,1),(166,1),(206,1)}
        79:{1,2,4,6}:{(49,1),(50,1),(104,1),(109,1),(110,1),(157,1),(160,1)}
        80:{1,3,7}:{(50,1),(51,1),(110,1),(186,1)}
        81:{3,5,7}:{(52,1),(53,1),(57,1),(112,1),(113,1)}
        82:{1,4,6,7}:{(53,1),(54,1),(58,1),(62,1),(97,1),(112,1),(148,1)}
        83:{2,4,6,7}:{(53,1),(55,1),(59,1),(63,1),(98,1),(113,1),(149,1)}
        84:{1,2,4,7}:{(54,1),(55,1),(56,1),(64,1),(99,1),(115,1),(121,1),(152,1)}
        85:{3,6}:{(56,1),(61,1),(115,1)}
        86:{1,5,6}:{(57,1),(58,1),(112,1)}
        87:{2,5,6}:{(57,1),(59,1),(113,1)}
        88:{1,2,4,6}:{(58,1),(59,1),(60,1),(66,1),(104,1),(117,1),(118,1),(123,1),(157,1),(165,1),(168,1),(189,1),(205,1),(209,1)}
        89:{3,5,7}:{(60,1),(61,1),(115,1),(118,1),(119,1),(159,1),(166,1),(186,1)}
        90:{3,4}:{(61,1),(68,1),(106,1)}
        91:{1,2,6,7}:{(62,1),(63,1),(64,1),(66,1),(120,1),(185,1),(189,1)}
        92:{2,3,5,7}:{(64,1),(65,1),(115,1),(120,1),(121,1),(162,1),(164,1),(167,1)}
        93:{2,4,6}:{(65,1),(68,1),(116,1),(121,1),(122,1),(165,1)}
        94:{2,3,6}:{(66,1),(67,1),(118,1),(123,1),(209,1)}
        95:{2,4,7}:{(67,1),(68,1),(119,1),(123,1),(193,1)}
        96:{3,5,7}:{(69,1),(70,1),(73,1),(124,1),(125,1)}
        97:{1,6,7}:{(70,1),(125,1)}
        98:{2,3,6,7}:{(70,1),(71,1),(74,1),(83,1),(126,1),(127,1),(140,1)}
        99:{1,2,7}:{(71,1),(72,1),(128,1)}
       100:{1,3,6}:{(72,1),(76,1),(85,1),(128,1),(129,1)}
       101:{3,4,6}:{(73,1),(77,1),(124,1),(130,1),(131,1),(175,1)}
       102:{1,5,6}:{(73,1),(125,1),(130,1)}
       103:{2,3,5,6}:{(73,1),(74,1),(78,1),(87,1),(126,1),(131,1),(132,1),(143,1),(175,1)}
       104:{1,2,6}:{(74,1),(75,1),(133,1)}
       105:{1,3,5,7}:{(75,1),(76,1),(80,1),(89,1),(128,1),(133,1),(134,1),(137,1),(173,1),(177,1)}
       106:{1,4}:{(76,1),(90,1)}
       107:{1,4,5}:{(77,1),(130,1),(135,1)}
       108:{2,4,5}:{(77,1),(78,1),(131,1),(183,1)}
       109:{1,2,5}:{(78,1),(79,1),(137,1),(177,1)}
       110:{1,3,6}:{(79,1),(80,1),(137,1),(175,1)}
       111:{1,3,4}:{(135,1),(138,1),(179,1)}
       112:{1,5,7}:{(81,1),(82,1),(86,1)}
       113:{2,5,7}:{(81,1),(83,1),(87,1)}
       114:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(88,1),(91,1),(127,1),(139,1),(140,1),(145,1),(170,1),(172,1),(180,1)}
       115:{3,7}:{(84,1),(85,1)}
       116:{3,4,6}:{(85,1),(90,1),(93,1),(129,1),(141,1),(142,1),(182,1)}
       117:{1,2,5,6}:{(86,1),(87,1),(88,1),(139,1),(143,1),(147,1),(177,1),(184,1),(199,1)}
       118:{3,6}:{(88,1),(89,1)}
       119:{3,4,7}:{(89,1),(90,1),(95,1),(134,1),(144,1),(179,1),(180,1)}
       120:{2,3,6,7}:{(91,1),(92,1),(94,1),(140,1),(145,1),(182,1),(196,1)}
       121:{2,4,7}:{(92,1),(93,1),(141,1),(180,1)}
       122:{2,4,5}:{(93,1),(142,1),(147,1),(183,1)}
       123:{2,4,6}:{(94,1),(95,1),(144,1),(147,1)}
       124:{3,4,7}:{(96,1),(101,1),(148,1),(149,1),(186,1)}
       125:{1,5,7}:{(96,1),(97,1),(102,1),(148,1)}
       126:{2,3,5,7}:{(96,1),(98,1),(103,1),(113,1),(149,1),(150,1),(162,1),(186,1)}
       127:{1,2,6,7}:{(97,1),(98,1),(99,1),(104,1),(150,1),(151,1),(209,1)}
       128:{1,3,7}:{(99,1),(100,1),(115,1),(152,1)}
       129:{1,4,6}:{(100,1),(106,1),(116,1),(152,1),(153,1),(189,1)}
       130:{1,4,6}:{(101,1),(102,1),(107,1),(148,1),(154,1)}
       131:{2,4,6}:{(101,1),(103,1),(108,1),(149,1),(165,1)}
       132:{1,2,5,6}:{(102,1),(103,1),(104,1),(109,1),(150,1),(155,1),(156,1),(206,1),(209,1)}
       133:{1,3,6}:{(104,1),(105,1),(118,1),(157,1),(189,1)}
       134:{1,4,7}:{(105,1),(106,1),(119,1),(157,1),(160,1)}
       135:{1,3,5}:{(107,1),(111,1),(154,1),(158,1),(159,1)}
       136:{1,2,4,5}:{(107,1),(108,1),(109,1),(155,1),(158,1),(159,1),(160,1),(192,1),(193,1),(206,1)}
       137:{1,3,5}:{(109,1),(110,1),(159,1),(160,1)}
       138:{1,2,4}:{(111,1),(158,1),(161,1),(193,1)}
       139:{1,2,5,7}:{(112,1),(113,1),(114,1),(117,1),(162,1),(167,1),(188,1)}
       140:{3,6,7}:{(114,1),(115,1),(118,1),(162,1),(186,1)}
       141:{3,4,7}:{(115,1),(116,1),(121,1),(152,1),(164,1)}
       142:{3,5}:{(116,1),(122,1),(153,1)}
       143:{3,5,6}:{(117,1),(118,1),(162,1),(165,1),(166,1)}
       144:{3,4,6}:{(118,1),(119,1),(123,1),(157,1),(165,1),(166,1)}
       145:{2,4,6,7}:{(120,1),(121,1),(123,1),(163,1),(167,1),(168,1),(203,1),(209,1)}
       146:{2,4,5,7}:{(121,1),(122,1),(164,1),(167,1),(168,1),(194,1)}
       147:{2,5}:{(123,1),(166,1)}
       148:{1,4,7}:{(124,1),(125,1),(130,1),(169,1)}
       149:{2,4,7}:{(124,1),(126,1),(131,1),(180,1)}
       150:{1,2,5,7}:{(125,1),(126,1),(127,1),(132,1),(170,1),(171,1),(207,1)}
       151:{1,3,6,7}:{(127,1),(128,1),(133,1),(140,1),(171,1),(172,1),(208,1)}
       152:{1,4,7}:{(128,1),(129,1),(141,1),(173,1)}
       153:{1,5}:{(129,1),(142,1)}
       154:{1,3,6}:{(130,1),(135,1),(169,1),(174,1),(175,1)}
       155:{1,2,4,6}:{(130,1),(131,1),(132,1),(136,1),(170,1),(174,1),(175,1),(176,1),(200,1)}
       156:{1,3,5,6}:{(132,1),(133,1),(137,1),(143,1),(171,1),(175,1),(176,1),(177,1),(199,1),(201,1),(208,1)}
       157:{1,4,6}:{(133,1),(134,1),(144,1),(177,1)}
       158:{1,2,5}:{(135,1),(138,1),(174,1),(178,1)}
       159:{3,5}:{(136,1),(175,1),(179,1)}
       160:{1,4}:{(137,1),(179,1)}
       161:{2,3}:{(138,1)}
       162:{3,5,7}:{(139,1),(140,1),(143,1),(180,1)}
       163:{3,4,6,7}:{(140,1),(141,1),(144,1),(145,1),(172,1),(180,1),(181,1),(182,1),(197,1),(202,1),(208,1)}
       164:{3,5,7}:{(141,1),(142,1),(146,1),(173,1),(182,1)}
       165:{4,6}:{(143,1),(180,1),(183,1)}
       166:{3,5}:{(144,1),(147,1),(177,1),(183,1)}
       167:{2,5,7}:{(145,1),(147,1),(181,1),(184,1)}
       168:{2,4,6}:{(146,1),(182,1),(184,1),(202,1)}
       169:{1,3,7}:{(148,1),(154,1),(185,1),(186,1)}
       170:{1,2,4,7}:{(148,1),(149,1),(150,1),(155,1),(185,1),(186,1),(187,1),(203,1)}
       171:{1,3,5,7}:{(150,1),(151,1),(156,1),(162,1),(186,1),(187,1),(188,1),(204,1)}
       172:{1,4,6,7}:{(151,1),(152,1),(157,1),(163,1),(187,1),(188,1),(189,1),(205,1)}
       173:{1,5,7}:{(152,1),(153,1),(164,1),(189,1)}
       174:{1,2,6}:{(154,1),(158,1),(185,1),(190,1)}
       175:{3,6}:{(155,1),(159,1),(186,1)}
       176:{1,4,6}:{(156,1),(160,1),(165,1),(187,1),(191,1),(192,1)}
       177:{1,5}:{(157,1),(166,1)}
       178:{2,3,5}:{(158,1),(159,1),(161,1),(190,1),(193,1),(206,1)}
       179:{3,4}:{(159,1),(160,1),(193,1)}
       180:{4,7}:{(162,1),(165,1)}
       181:{3,5,7}:{(163,1),(166,1),(167,1),(188,1),(194,1),(195,1)}
       182:{3,6}:{(164,1),(168,1),(189,1)}
       183:{4,5}:{(165,1),(166,1)}
       184:{2,5,6}:{(167,1),(168,1),(195,1),(209,1)}
       185:{1,2,7}:{(169,1),(174,1),(196,1)}
       186:{3,7}:{(170,1),(175,1)}
       187:{1,4,7}:{(171,1),(176,1),(180,1),(197,1)}
       188:{1,5,7}:{(172,1),(177,1),(181,1),(199,1)}
       189:{1,6}:{(173,1),(182,1)}
       190:{2,3,6}:{(174,1),(175,1),(178,1),(196,1),(200,1)}
       191:{3,4,6}:{(175,1),(176,1),(179,1),(197,1),(200,1),(201,1),(208,1)}
       192:{1,4,5}:{(176,1),(177,1),(183,1),(201,1)}
       193:{2,4}:{(178,1),(179,1)}
       194:{4,5,7}:{(180,1),(181,1),(183,1),(202,1)}
       195:{3,5,6}:{(181,1),(182,1),(184,1),(199,1),(202,1),(208,1)}
       196:{2,3,7}:{(185,1),(186,1),(190,1),(203,1)}
       197:{3,4,7}:{(186,1),(187,1),(191,1),(203,1),(204,1)}
       198:{1,4,5,7}:{(187,1),(188,1),(192,1),(194,1),(204,1),(205,1)}
       199:{1,5,6}:{(188,1),(189,1),(195,1),(205,1)}
       200:{2,4,6}:{(190,1),(191,1),(193,1),(203,1),(206,1),(209,1)}
       201:{3,5}:{(191,1),(192,1),(206,1)}
       202:{4,6}:{(194,1),(195,1)}
       203:{2,4,7}:{(196,1),(197,1),(200,1),(207,1)}
       204:{3,5,7}:{(197,1),(198,1),(201,1),(207,1),(208,1)}
       205:{1,4,6}:{(198,1),(199,1),(202,1),(208,1)}
       206:{2,5}:{(200,1),(201,1)}
       207:{2,5,7}:{(203,1),(204,1),(206,1),(209,1)}
       208:{3,6}:{(204,1),(205,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

1446 :   0:{1,2,3,6}:{(3,1),(5,1),(6,1),(78,1),(86,1)}
         1:{1,3,4,6}:{(5,1),(7,1),(8,1),(31,1),(37,1),(47,1),(86,1),(88,1)}
         2:{1,4,5,6}:{(9,1),(10,1),(37,1),(95,1),(97,1)}
         3:{1,2,3,5}:{(0,1),(11,1),(13,1),(20,1),(51,1),(57,1)}
         4:{3,4,5}:{(15,1),(16,1),(17,1),(57,1)}
         5:{1,2,4,6}:{(0,1),(1,1),(13,1),(19,1),(20,1),(21,1),(72,1)}
         6:{1,2,3,7}:{(0,1),(21,1),(109,1),(118,1),(210,1)}
         7:{1,3,5}:{(1,1),(16,1),(20,1),(57,1),(120,1)}
         8:{1,3,4,7}:{(1,1),(21,1),(24,1),(58,1),(64,1),(118,1),(166,1)}
         9:{3,5,6}:{(2,1),(17,1),(22,1),(25,1)}
        10:{1,4,5,7}:{(2,1),(25,1),(26,1),(64,1),(125,1),(126,1)}
        11:{1,2,3}:{(27,1)}
        12:{2,3,4}:{(27,1),(29,1),(31,1)}
        13:{1,2,4}:{(3,1),(31,1)}
        14:{1,2,3,5,7}:{(3,1),(6,1),(28,1),(33,1),(34,1),(44,1),(79,1),(81,1),(87,1),(91,1)}
        15:{2,4,5}:{(4,1),(29,1),(35,1)}
        16:{1,4,5}:{(4,1),(7,1),(37,1),(149,1)}
        17:{3,4,6}:{(4,1),(9,1),(35,1),(37,1),(39,1),(86,1)}
        18:{3,4,5,7}:{(4,1),(36,1),(38,1),(39,1),(40,1),(87,1),(96,1),(143,1),(149,1),(192,1),(197,1)}
        19:{2,3,4,6}:{(5,1),(31,1),(41,1),(42,1),(86,1),(88,1),(98,1),(101,1)}
        20:{1,2,5}:{(5,1),(7,1),(41,1)}
        21:{1,2,4,7}:{(5,1),(6,1),(8,1),(42,1),(44,1),(191,1)}
        22:{2,5,6}:{(9,1),(35,1),(45,1)}
        23:{1,3,5,6}:{(7,1),(9,1),(37,1),(43,1),(46,1),(47,1),(86,1),(95,1),(148,1)}
        24:{1,3,5,7}:{(7,1),(8,1),(38,1),(44,1),(47,1),(87,1),(189,1),(219,1)}
        25:{3,5,7}:{(9,1),(10,1),(39,1),(45,1),(48,1)}
        26:{1,4,6,7}:{(10,1),(48,1),(49,1),(104,1)}
        27:{1,2,4}:{(11,1),(12,1),(50,1),(51,1)}
        28:{1,2,3,7}:{(11,1),(52,1),(53,1),(206,1),(227,1)}
        29:{2,3,5}:{(12,1),(15,1),(51,1),(54,1),(57,1)}
        30:{2,3,4,7}:{(12,1),(52,1),(55,1),(56,1),(58,1),(168,1),(206,1)}
        31:{3,4}:{(13,1),(57,1)}
        32:{1,2,4,5}:{(13,1),(15,1),(16,1),(20,1),(51,1),(57,1),(59,1),(68,1),(105,1)}
        33:{1,2,4,7}:{(13,1),(14,1),(58,1),(61,1),(112,1)}
        34:{1,2,3,6}:{(14,1),(61,1),(72,1),(110,1),(119,1)}
        35:{2,4,6}:{(15,1),(17,1),(22,1),(54,1),(62,1)}
        36:{2,4,5,7}:{(15,1),(18,1),(55,1),(62,1),(63,1),(115,1),(123,1),(168,1)}
        37:{1,4,6}:{(16,1),(17,1),(23,1),(64,1),(175,1)}
        38:{1,4,5,7}:{(16,1),(18,1),(24,1),(64,1),(65,1),(125,1),(170,1),(211,1)}
        39:{3,4,7}:{(17,1),(25,1),(62,1),(64,1),(118,1)}
        40:{3,4,6}:{(18,1),(63,1),(65,1),(67,1),(119,1),(175,1)}
        41:{2,3,5}:{(19,1),(20,1),(57,1),(68,1),(120,1)}
        42:{2,3,4,7}:{(19,1),(21,1),(58,1),(70,1),(118,1),(128,1),(167,1)}
        43:{1,2,5,6}:{(20,1),(22,1),(23,1),(59,1),(69,1),(71,1),(72,1),(157,1)}
        44:{1,2,5,7}:{(20,1),(21,1),(24,1),(70,1),(72,1),(209,1),(227,1)}
        45:{2,5,7}:{(22,1),(25,1),(62,1),(73,1)}
        46:{1,3,5,7}:{(23,1),(25,1),(64,1),(71,1),(74,1),(118,1),(125,1),(174,1)}
        47:{1,3,6}:{(24,1),(65,1),(72,1),(119,1)}
        48:{3,6,7}:{(25,1),(26,1),(73,1)}
        49:{1,5,6,7}:{(26,1),(75,1),(125,1),(180,1)}
        50:{1,3,4}:{(27,1),(31,1),(76,1)}
        51:{1,2,5}:{(27,1),(29,1),(76,1),(78,1)}
        52:{1,2,4,7}:{(27,1),(28,1),(30,1),(77,1),(79,1),(80,1)}
        53:{1,2,3,6}:{(28,1),(80,1),(81,1),(188,1),(221,1)}
        54:{2,3,6}:{(29,1),(35,1),(78,1),(82,1),(86,1)}
        55:{2,3,5,7}:{(29,1),(30,1),(36,1),(79,1),(82,1),(83,1),(84,1),(87,1)}
        56:{2,3,4,6}:{(30,1),(80,1),(83,1),(84,1),(88,1),(140,1),(142,1),(188,1)}
        57:{3,5}:{(31,1),(32,1),(86,1)}
        58:{3,4,7}:{(31,1),(33,1),(87,1),(88,1),(140,1),(197,1)}
        59:{1,2,4,6}:{(32,1),(35,1),(37,1),(43,1),(78,1),(86,1),(89,1),(98,1),(132,1)}
        60:{1,2,4,5,7}:{(32,1),(33,1),(36,1),(38,1),(44,1),(79,1),(87,1),(89,1),(90,1),(91,1),(99,1),(133,1),(139,1),(149,1),(150,1),(187,1),(197,1)}
        61:{1,2,4,6}:{(33,1),(34,1),(88,1),(91,1)}
        62:{2,4,7}:{(35,1),(39,1),(45,1),(82,1)}
        63:{2,4,6}:{(36,1),(40,1),(83,1),(93,1)}
        64:{1,4,7}:{(37,1),(39,1),(46,1),(197,1)}
        65:{1,4,6}:{(38,1),(40,1),(47,1),(95,1)}
        66:{3,4,6,7}:{(39,1),(40,1),(48,1),(92,1),(94,1),(96,1),(104,1),(147,1),(156,1),(192,1),(197,1)}
        67:{3,5,6}:{(40,1),(93,1),(95,1),(96,1),(97,1)}
        68:{2,4,5}:{(41,1),(85,1),(98,1),(149,1)}
        69:{2,3,5,6}:{(41,1),(43,1),(86,1),(98,1),(100,1),(101,1),(144,1),(148,1),(155,1)}
        70:{2,3,5,7}:{(41,1),(42,1),(44,1),(87,1),(99,1),(101,1),(190,1),(220,1)}
        71:{1,2,5,7}:{(43,1),(45,1),(46,1),(89,1),(100,1),(102,1),(181,1)}
        72:{1,2,6}:{(44,1),(47,1),(101,1)}
        73:{2,6,7}:{(45,1),(48,1)}
        74:{1,3,6,7}:{(46,1),(47,1),(48,1),(94,1),(102,1),(147,1),(219,1)}
        75:{3,5,6,7}:{(48,1),(49,1),(96,1),(103,1),(104,1),(156,1)}
        76:{1,3,5}:{(50,1),(51,1),(57,1),(105,1),(106,1)}
        77:{1,3,4,7}:{(50,1),(52,1),(58,1),(107,1),(108,1),(203,1),(206,1)}
        78:{1,2,6}:{(51,1),(54,1),(106,1),(109,1)}
        79:{1,2,5,7}:{(51,1),(52,1),(55,1),(107,1),(109,1),(110,1),(111,1)}
        80:{1,2,4,6}:{(52,1),(53,1),(56,1),(108,1),(110,1),(111,1),(112,1)}
        81:{1,2,3,5}:{(53,1),(111,1),(112,1),(165,1),(209,1),(210,1)}
        82:{2,3,7}:{(54,1),(62,1),(109,1),(118,1)}
        83:{2,3,6}:{(55,1),(63,1),(110,1),(119,1)}
        84:{2,3,5}:{(56,1),(111,1),(115,1),(120,1),(165,1)}
        85:{3,4,5}:{(57,1),(68,1),(105,1),(116,1)}
        86:{3,6}:{(57,1),(59,1),(118,1)}
        87:{3,5,7}:{(57,1),(58,1),(60,1),(118,1),(119,1),(120,1),(165,1),(206,1)}
        88:{3,4,6}:{(58,1),(61,1),(119,1),(120,1),(175,1)}
        89:{1,2,4,7}:{(59,1),(62,1),(64,1),(71,1),(109,1),(118,1),(128,1),(158,1)}
        90:{1,2,4,6}:{(60,1),(63,1),(65,1),(72,1),(110,1),(119,1),(122,1),(129,1),(159,1),(175,1)}
        91:{1,2,5}:{(61,1),(120,1)}
        92:{2,4,6,7}:{(62,1),(63,1),(66,1),(73,1),(113,1),(123,1),(168,1)}
        93:{2,5,6}:{(63,1),(67,1),(123,1)}
        94:{1,4,6,7}:{(64,1),(65,1),(66,1),(74,1),(125,1),(180,1),(211,1)}
        95:{1,5,6}:{(65,1),(67,1),(125,1)}
        96:{3,5,7}:{(66,1),(67,1),(123,1),(125,1),(126,1)}
        97:{4,5,6}:{(67,1),(126,1),(175,1)}
        98:{2,4,6}:{(68,1),(69,1),(116,1),(128,1),(175,1)}
        99:{2,4,5,7}:{(68,1),(70,1),(117,1),(128,1),(129,1),(179,1),(205,1),(226,1)}
       100:{2,3,5,7}:{(69,1),(71,1),(118,1),(128,1),(130,1),(171,1),(174,1),(179,1)}
       101:{2,3,6}:{(70,1),(72,1),(119,1),(129,1)}
       102:{1,2,6,7}:{(71,1),(72,1),(73,1),(74,1),(130,1),(200,1),(227,1)}
       103:{2,5,6,7}:{(73,1),(75,1),(123,1),(131,1)}
       104:{4,6,7}:{(75,1),(126,1)}
       105:{1,4,5}:{(76,1),(85,1),(132,1)}
       106:{1,3,6}:{(76,1),(78,1),(86,1),(132,1),(134,1)}
       107:{1,3,5,7}:{(76,1),(77,1),(79,1),(87,1),(133,1),(134,1),(135,1),(136,1)}
       108:{1,3,4,6}:{(77,1),(80,1),(88,1),(135,1),(136,1),(140,1),(185,1),(188,1)}
       109:{1,2,7}:{(78,1),(82,1),(134,1)}
       110:{1,2,6}:{(79,1),(83,1),(135,1)}
       111:{1,2,5}:{(80,1),(84,1),(136,1)}
       112:{1,2,4}:{(81,1),(140,1)}
       113:{2,3,6,7}:{(82,1),(83,1),(92,1),(137,1),(141,1),(147,1),(156,1)}
       114:{2,3,5,6}:{(83,1),(84,1),(93,1),(138,1),(141,1),(142,1),(148,1),(152,1),(188,1)}
       115:{2,4,5}:{(84,1),(142,1),(143,1),(149,1)}
       116:{3,4,6}:{(85,1),(86,1),(98,1),(132,1),(144,1),(145,1)}
       117:{3,4,5,7}:{(85,1),(87,1),(99,1),(133,1),(145,1),(146,1),(149,1),(186,1),(195,1),(197,1),(217,1)}
       118:{3,7}:{(86,1),(89,1)}
       119:{3,6}:{(87,1),(90,1)}
       120:{3,5}:{(88,1),(91,1),(149,1)}
       121:{1,2,4,6,7}:{(89,1),(90,1),(92,1),(94,1),(102,1),(137,1),(147,1),(150,1),(154,1),(182,1),(187,1),(197,1)}
       122:{1,2,5,6}:{(90,1),(91,1),(93,1),(95,1),(148,1),(150,1),(155,1),(183,1)}
       123:{2,5,7}:{(92,1),(93,1),(96,1)}
       124:{2,4,5,6}:{(93,1),(97,1),(142,1),(151,1),(152,1)}
       125:{1,5,7}:{(94,1),(95,1),(96,1)}
       126:{4,5,7}:{(96,1),(97,1),(104,1),(197,1)}
       127:{2,4,5,6}:{(98,1),(144,1),(153,1),(155,1),(196,1)}
       128:{2,4,7}:{(98,1),(100,1),(145,1),(197,1)}
       129:{2,4,6}:{(99,1),(101,1),(146,1),(155,1)}
       130:{2,3,6,7}:{(100,1),(101,1),(102,1),(147,1),(154,1),(194,1),(220,1)}
       131:{2,4,6,7}:{(103,1),(104,1),(151,1),(156,1)}
       132:{1,4,6}:{(105,1),(106,1),(116,1),(157,1),(158,1)}
       133:{1,4,5,7}:{(105,1),(107,1),(117,1),(158,1),(159,1),(162,1),(201,1),(203,1)}
       134:{1,3,7}:{(106,1),(109,1),(118,1),(158,1)}
       135:{1,3,6}:{(107,1),(110,1),(119,1),(159,1)}
       136:{1,3,5}:{(108,1),(111,1),(120,1),(162,1),(165,1)}
       137:{1,2,6,7}:{(109,1),(110,1),(113,1),(160,1),(163,1),(180,1),(230,1)}
       138:{1,2,5,6}:{(110,1),(111,1),(114,1),(161,1),(163,1),(164,1),(177,1),(225,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(115,1),(162,1),(164,1),(165,1),(170,1),(205,1),(209,1)}
       140:{3,4}:{(112,1),(165,1)}
       141:{2,3,5,7}:{(113,1),(114,1),(123,1),(163,1),(168,1),(174,1),(176,1),(206,1)}
       142:{2,4,6}:{(114,1),(115,1),(168,1),(169,1),(175,1)}
       143:{3,4,5}:{(115,1),(165,1),(169,1),(170,1)}
       144:{3,5,6}:{(116,1),(127,1),(157,1),(171,1)}
       145:{3,4,7}:{(116,1),(118,1),(128,1),(158,1),(171,1)}
       146:{3,4,6}:{(117,1),(119,1),(129,1),(159,1),(173,1),(175,1)}
       147:{3,6,7}:{(118,1),(119,1),(121,1),(174,1),(206,1)}
       148:{3,5,6}:{(119,1),(120,1),(122,1),(174,1),(175,1)}
       149:{4,5}:{(120,1),(175,1)}
       150:{1,2,5,7}:{(121,1),(122,1),(123,1),(125,1),(174,1),(179,1),(201,1)}
       151:{2,4,5,7}:{(123,1),(124,1),(126,1),(131,1),(168,1),(176,1)}
       152:{3,5,6}:{(124,1),(169,1),(176,1),(177,1)}
       153:{2,4,5,7}:{(127,1),(128,1),(171,1),(178,1),(179,1),(213,1)}
       154:{2,4,6,7}:{(128,1),(129,1),(130,1),(172,1),(179,1),(226,1),(230,1)}
       155:{2,5,6}:{(129,1),(173,1),(179,1)}
       156:{3,6,7}:{(131,1),(176,1),(180,1)}
       157:{1,5,6}:{(132,1),(144,1),(181,1)}
       158:{1,4,7}:{(132,1),(134,1),(145,1),(181,1)}
       159:{1,4,6}:{(133,1),(135,1),(146,1),(183,1)}
       160:{1,3,6,7}:{(134,1),(135,1),(137,1),(147,1),(182,1),(184,1),(228,1)}
       161:{1,3,5,6}:{(135,1),(136,1),(138,1),(148,1),(183,1),(184,1),(185,1),(188,1),(216,1)}
       162:{1,4,5}:{(136,1),(149,1),(185,1),(186,1)}
       163:{1,2,5,7}:{(137,1),(138,1),(141,1),(184,1),(187,1),(198,1),(229,1)}
       164:{1,2,4,6}:{(138,1),(139,1),(142,1),(185,1),(187,1),(188,1),(193,1),(218,1),(221,1)}
       165:{3,5}:{(139,1),(140,1),(188,1)}
       166:{1,3,4}:{(140,1),(189,1),(191,1)}
       167:{2,3,4}:{(140,1),(190,1),(191,1)}
       168:{2,4,7}:{(141,1),(142,1),(192,1),(197,1)}
       169:{3,4,6}:{(142,1),(143,1),(152,1),(188,1),(192,1),(193,1)}
       170:{1,4,5}:{(143,1),(189,1),(193,1)}
       171:{3,5,7}:{(144,1),(145,1),(153,1),(181,1),(194,1)}
       172:{3,4,6,7}:{(145,1),(146,1),(147,1),(154,1),(182,1),(194,1),(195,1),(197,1),(217,1),(222,1),(228,1)}
       173:{3,5,6}:{(146,1),(155,1),(183,1),(195,1),(196,1)}
       174:{3,5,7}:{(147,1),(148,1),(150,1),(197,1)}
       175:{4,6}:{(148,1),(149,1),(197,1)}
       176:{3,5,7}:{(151,1),(152,1),(156,1),(192,1),(198,1)}
       177:{1,5,6}:{(152,1),(193,1),(198,1)}
       178:{2,4,6,7}:{(153,1),(194,1),(199,1),(222,1)}
       179:{2,5,7}:{(154,1),(155,1),(195,1)}
       180:{1,6,7}:{(156,1),(198,1)}
       181:{1,5,7}:{(157,1),(158,1),(171,1),(200,1)}
       182:{1,4,6,7}:{(158,1),(159,1),(160,1),(172,1),(200,1),(201,1),(203,1)}
       183:{1,5,6}:{(159,1),(173,1),(201,1)}
       184:{1,3,5,7}:{(160,1),(161,1),(163,1),(174,1),(201,1),(203,1),(206,1),(224,1)}
       185:{1,4,6}:{(161,1),(162,1),(175,1),(203,1),(204,1)}
       186:{3,4,5}:{(162,1),(165,1),(204,1),(205,1)}
       187:{1,2,4,7}:{(163,1),(164,1),(168,1),(203,1),(206,1),(211,1),(226,1),(227,1)}
       188:{3,6}:{(164,1),(165,1),(206,1)}
       189:{1,3,5}:{(165,1),(166,1),(170,1),(207,1),(209,1)}
       190:{2,3,5}:{(165,1),(167,1),(205,1),(208,1),(209,1)}
       191:{1,2,4}:{(166,1),(167,1),(209,1),(210,1)}
       192:{3,4,7}:{(168,1),(169,1),(176,1),(206,1),(211,1)}
       193:{1,4,6}:{(169,1),(170,1),(177,1),(207,1),(211,1)}
       194:{3,6,7}:{(171,1),(178,1),(200,1)}
       195:{3,5,7}:{(172,1),(173,1),(179,1),(201,1),(213,1)}
       196:{4,5,6}:{(173,1),(175,1),(213,1)}
       197:{4,7}:{(174,1),(175,1)}
       198:{1,5,7}:{(176,1),(177,1),(180,1),(211,1)}
       199:{2,5,6,7}:{(178,1),(179,1),(212,1),(230,1)}
       200:{1,6,7}:{(181,1),(194,1)}
       201:{1,5,7}:{(182,1),(183,1),(195,1)}
       202:{1,4,5,6}:{(183,1),(185,1),(196,1),(215,1),(216,1)}
       203:{1,4,7}:{(184,1),(185,1),(197,1),(217,1)}
       204:{3,4,6}:{(185,1),(186,1),(188,1),(216,1),(217,1),(218,1)}
       205:{2,4,5}:{(186,1),(190,1),(218,1)}
       206:{3,7}:{(187,1),(188,1)}
       207:{1,3,6}:{(188,1),(189,1),(193,1),(219,1),(221,1)}
       208:{2,3,6}:{(188,1),(190,1),(218,1),(220,1),(221,1)}
       209:{1,2,5}:{(189,1),(190,1),(191,1),(221,1)}
       210:{1,2,3}:{(191,1)}
       211:{1,4,7}:{(192,1),(193,1),(198,1),(219,1)}
       212:{3,5,6,7}:{(194,1),(195,1),(199,1),(214,1),(222,1),(228,1)}
       213:{4,5,7}:{(195,1),(196,1),(197,1),(222,1)}
       214:{1,5,6,7}:{(200,1),(201,1),(212,1),(223,1)}
       215:{1,4,5,7}:{(201,1),(202,1),(203,1),(213,1),(223,1),(224,1)}
       216:{3,5,6}:{(202,1),(204,1),(224,1),(225,1)}
       217:{3,4,7}:{(203,1),(204,1),(206,1),(224,1),(226,1)}
       218:{2,4,6}:{(204,1),(205,1),(208,1),(225,1),(226,1)}
       219:{1,3,7}:{(206,1),(207,1),(211,1),(227,1)}
       220:{2,3,7}:{(206,1),(208,1),(226,1),(227,1)}
       221:{1,2,6}:{(207,1),(208,1),(209,1),(227,1)}
       222:{4,6,7}:{(212,1),(213,1)}
       223:{1,4,6,7}:{(214,1),(215,1),(222,1),(228,1)}
       224:{3,5,7}:{(215,1),(216,1),(217,1),(228,1),(229,1)}
       225:{2,5,6}:{(216,1),(218,1),(229,1)}
       226:{2,4,7}:{(217,1),(218,1),(220,1),(229,1)}
       227:{1,2,7}:{(219,1),(220,1),(221,1)}
       228:{3,6,7}:{(223,1),(224,1),(230,1)}
       229:{2,5,7}:{(224,1),(225,1),(226,1),(230,1)}
       230:{2,6,7}:{(228,1),(229,1)}

1447 :   0:{1,2,4,5,6}:{(1,1),(2,1),(10,1),(11,1),(13,1),(40,1),(78,1),(79,1),(80,1),(81,1),(99,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(59,1),(90,1),(101,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(26,1),(27,1),(29,1),(66,1),(67,1),(68,1)}
         3:{3,4,6}:{(1,1),(9,1),(10,1),(11,1),(12,1),(44,1),(76,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(13,1),(14,1),(18,1),(44,1),(53,1),(72,1),(79,1),(95,1),(97,1),(103,1)}
         5:{2,3,5,6}:{(1,1),(11,1),(13,1),(15,1),(37,1),(44,1),(51,1),(74,1),(80,1),(85,1),(97,1),(99,1)}
         6:{3,5,7}:{(1,1),(2,1),(12,1),(16,1)}
         7:{1,2,4,6,7}:{(2,1),(16,1),(17,1),(46,1),(47,1),(49,1),(50,1),(78,1)}
         8:{1,3,4,6}:{(10,1),(18,1),(19,1),(20,1),(44,1),(53,1),(76,1),(96,1)}
         9:{3,4,5}:{(3,1),(22,1),(23,1),(59,1),(101,1)}
        10:{1,4,6}:{(3,1),(4,1),(22,1),(26,1),(86,1),(102,1)}
        11:{2,4,6}:{(3,1),(5,1),(23,1),(27,1),(69,1),(102,1)}
        12:{3,4,7}:{(3,1),(6,1),(26,1),(27,1),(64,1)}
        13:{1,2,5,6}:{(4,1),(5,1),(25,1),(29,1),(33,1),(55,1),(71,1),(88,1)}
        14:{1,3,5,7}:{(4,1),(6,1),(26,1),(29,1),(30,1),(64,1),(66,1),(92,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(27,1),(29,1),(31,1),(64,1),(67,1),(92,1)}
        16:{3,6,7}:{(6,1),(7,1),(90,1)}
        17:{1,2,5,6,7}:{(7,1),(32,1),(66,1),(67,1),(91,1)}
        18:{1,3,5}:{(8,1),(22,1),(33,1),(59,1),(101,1)}
        19:{1,2,4,6}:{(8,1),(33,1),(35,1),(36,1),(69,1),(71,1),(93,1)}
        20:{1,3,4,7}:{(8,1),(26,1),(34,1),(36,1),(64,1),(89,1)}
        21:{2,3,4,6}:{(11,1),(37,1),(38,1),(39,1),(44,1),(74,1),(76,1),(96,1)}
        22:{1,4,5}:{(9,1),(10,1),(18,1),(103,1),(104,1)}
        23:{2,4,5}:{(9,1),(11,1),(37,1),(99,1),(104,1)}
        24:{3,4,5,7}:{(9,1),(12,1),(41,1),(42,1),(43,1),(48,1),(77,1),(98,1),(104,1)}
        25:{1,2,4,6}:{(10,1),(11,1),(13,1),(40,1),(44,1),(45,1)}
        26:{1,4,7}:{(10,1),(12,1),(14,1),(98,1)}
        27:{2,4,7}:{(11,1),(12,1),(15,1),(98,1)}
        28:{3,4,6,7}:{(12,1),(16,1),(43,1),(46,1),(47,1),(48,1),(50,1),(82,1),(96,1),(98,1)}
        29:{1,2,5,7}:{(13,1),(14,1),(15,1),(45,1),(49,1)}
        30:{1,3,6,7}:{(14,1),(16,1),(46,1),(49,1),(53,1),(82,1),(95,1)}
        31:{2,3,6,7}:{(15,1),(16,1),(47,1),(49,1),(74,1),(82,1),(85,1)}
        32:{3,5,6,7}:{(16,1),(17,1),(48,1),(50,1),(97,1)}
        33:{1,2,5}:{(18,1),(19,1),(51,1),(99,1)}
        34:{1,3,5,7}:{(18,1),(20,1),(41,1),(52,1),(53,1),(77,1)}
        35:{2,3,6}:{(19,1),(44,1),(51,1),(54,1)}
        36:{1,2,4,7}:{(19,1),(20,1),(52,1),(54,1),(84,1)}
        37:{2,3,5}:{(21,1),(23,1),(55,1),(59,1),(101,1)}
        38:{1,2,4,6}:{(21,1),(55,1),(57,1),(58,1),(86,1),(88,1),(100,1)}
        39:{2,3,4,7}:{(21,1),(27,1),(56,1),(58,1),(64,1),(89,1)}
        40:{1,2,4,5}:{(22,1),(23,1),(25,1),(33,1),(55,1),(59,1),(69,1),(86,1)}
        41:{1,4,5,7}:{(22,1),(24,1),(26,1),(34,1),(61,1),(66,1)}
        42:{2,4,5,7}:{(23,1),(24,1),(27,1),(56,1),(62,1),(67,1)}
        43:{3,4,6}:{(24,1),(61,1),(62,1),(63,1),(90,1),(102,1)}
        44:{3,6}:{(25,1),(59,1),(64,1)}
        45:{1,2,4,7}:{(25,1),(26,1),(27,1),(29,1),(64,1)}
        46:{1,4,6,7}:{(26,1),(28,1),(30,1),(61,1),(66,1),(100,1)}
        47:{2,4,6,7}:{(27,1),(28,1),(31,1),(62,1),(67,1),(93,1)}
        48:{3,5,7}:{(28,1),(63,1),(66,1),(67,1),(68,1),(101,1)}
        49:{1,2,6,7}:{(29,1),(30,1),(31,1),(71,1),(88,1)}
        50:{4,6,7}:{(32,1),(68,1),(102,1)}
        51:{2,3,5}:{(33,1),(35,1),(59,1),(69,1)}
        52:{1,2,5,7}:{(33,1),(34,1),(36,1),(70,1),(71,1)}
        53:{1,3,6}:{(34,1),(61,1),(71,1),(90,1)}
        54:{2,3,7}:{(35,1),(36,1),(64,1)}
        55:{1,2,5}:{(37,1),(38,1),(72,1),(103,1)}
        56:{2,3,5,7}:{(37,1),(39,1),(42,1),(73,1),(74,1),(77,1)}
        57:{1,3,6}:{(38,1),(44,1),(72,1),(75,1)}
        58:{1,2,4,7}:{(38,1),(39,1),(73,1),(75,1),(94,1)}
        59:{3,5}:{(40,1),(44,1),(76,1)}
        60:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(45,1),(52,1),(73,1),(77,1),(78,1),(83,1),(84,1),(94,1),(98,1),(99,1),(103,1),(104,1)}
        61:{1,4,6}:{(41,1),(43,1),(53,1),(79,1)}
        62:{2,4,6}:{(42,1),(43,1),(74,1),(80,1)}
        63:{3,5,6}:{(43,1),(48,1),(79,1),(80,1),(81,1)}
        64:{3,7}:{(44,1),(45,1)}
        65:{1,2,4,6,7}:{(45,1),(46,1),(47,1),(49,1),(78,1),(82,1),(83,1),(98,1)}
        66:{1,5,7}:{(46,1),(48,1),(79,1),(103,1)}
        67:{2,5,7}:{(47,1),(48,1),(80,1),(99,1)}
        68:{4,5,7}:{(48,1),(50,1),(81,1),(98,1),(104,1)}
        69:{2,4}:{(51,1),(76,1)}
        70:{2,3,5,7}:{(51,1),(52,1),(54,1),(77,1),(84,1),(85,1),(99,1)}
        71:{1,2,6}:{(52,1),(53,1),(85,1)}
        72:{1,3,5}:{(55,1),(57,1),(59,1),(86,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(58,1),(87,1),(88,1)}
        74:{2,3,6}:{(56,1),(62,1),(88,1),(90,1)}
        75:{1,3,7}:{(57,1),(58,1),(64,1)}
        76:{3,4}:{(59,1),(69,1),(86,1)}
        77:{3,5,7}:{(59,1),(60,1),(64,1),(89,1),(90,1),(101,1)}
        78:{1,2,4,6}:{(60,1),(61,1),(62,1),(71,1),(88,1),(90,1),(91,1),(93,1),(100,1),(102,1)}
        79:{1,5,6}:{(61,1),(63,1),(66,1)}
        80:{2,5,6}:{(62,1),(63,1),(67,1)}
        81:{4,5,6}:{(63,1),(68,1),(102,1)}
        82:{3,6,7}:{(64,1),(65,1),(90,1),(92,1)}
        83:{1,2,5,7}:{(65,1),(66,1),(67,1),(91,1),(92,1)}
        84:{2,4,7}:{(69,1),(70,1),(89,1),(93,1)}
        85:{2,3,6}:{(70,1),(71,1),(90,1),(93,1)}
        86:{1,4}:{(72,1),(76,1)}
        87:{1,3,5,7}:{(72,1),(73,1),(75,1),(77,1),(94,1),(95,1),(103,1)}
        88:{1,2,6}:{(73,1),(74,1),(95,1)}
        89:{3,4,7}:{(76,1),(77,1),(84,1),(94,1),(96,1),(98,1)}
        90:{3,6}:{(77,1),(78,1)}
        91:{1,2,5,6}:{(78,1),(79,1),(80,1),(83,1),(97,1),(99,1),(103,1)}
        92:{3,5,7}:{(82,1),(83,1),(97,1),(98,1)}
        93:{2,4,6}:{(84,1),(85,1),(96,1),(99,1)}
        94:{1,4,7}:{(86,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(87,1),(88,1),(90,1),(100,1)}
        96:{3,4,6}:{(89,1),(90,1),(93,1),(100,1),(101,1),(102,1)}
        97:{3,5,6}:{(90,1),(91,1),(92,1),(101,1),(102,1)}
        98:{4,7}:{(92,1),(102,1)}
        99:{2,5}:{(93,1),(101,1)}
       100:{1,4,6}:{(94,1),(95,1),(96,1),(103,1)}
       101:{3,5}:{(96,1),(99,1),(103,1),(104,1)}
       102:{4,6}:{(97,1),(98,1),(104,1)}
       103:{1,5}:{(100,1),(101,1)}
       104:{4,5}:{(101,1),(102,1)}

1448 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(28,1),(165,1),(176,1),(208,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(66,1),(71,1),(121,1)}
         2:{3,4,5,7}:{(0,1),(11,1),(12,1),(13,1),(45,1),(147,1)}
         3:{1,4,5,6}:{(0,1),(8,1),(12,1),(183,1),(216,1)}
         4:{2,4,5,6}:{(0,1),(9,1),(13,1),(150,1),(200,1)}
         5:{2,3,4,6}:{(1,1),(9,1),(15,1),(16,1),(46,1)}
         6:{1,2,4,5}:{(1,1),(16,1),(17,1),(50,1),(86,1),(93,1)}
         7:{1,3,4,5}:{(18,1),(19,1),(66,1),(103,1),(158,1)}
         8:{1,3,5,6}:{(3,1),(18,1),(20,1),(21,1),(28,1),(158,1),(205,1)}
         9:{2,3,5,6}:{(4,1),(5,1),(22,1),(23,1),(28,1),(121,1),(180,1)}
        10:{4,5,6,7}:{(24,1),(116,1),(226,1)}
        11:{3,4,6,7}:{(2,1),(24,1),(25,1),(26,1),(64,1),(116,1),(208,1)}
        12:{1,4,5,7}:{(2,1),(3,1),(20,1),(25,1)}
        13:{2,4,5,7}:{(2,1),(4,1),(22,1),(26,1)}
        14:{1,2,4,5,6}:{(3,1),(4,1),(21,1),(23,1),(27,1),(28,1),(59,1),(62,1),(109,1),(170,1),(172,1),(174,1),(176,1)}
        15:{2,3,4,7}:{(5,1),(22,1),(29,1),(65,1)}
        16:{1,2,4,6}:{(5,1),(6,1),(23,1),(29,1),(30,1),(62,1)}
        17:{1,3,5}:{(6,1),(30,1),(32,1)}
        18:{1,3,4,6}:{(7,1),(8,1),(33,1),(34,1),(46,1)}
        19:{1,2,4,5}:{(7,1),(34,1),(35,1),(77,1),(83,1),(130,1)}
        20:{1,3,5,7}:{(8,1),(12,1),(33,1),(36,1),(37,1),(45,1)}
        21:{1,2,5,6}:{(8,1),(34,1),(37,1),(38,1),(130,1),(186,1)}
        22:{2,3,5,7}:{(9,1),(13,1),(15,1),(39,1),(40,1),(45,1)}
        23:{1,2,5,6}:{(9,1),(16,1),(40,1),(41,1),(93,1),(153,1)}
        24:{3,5,6,7}:{(10,1),(11,1),(42,1),(43,1),(219,1)}
        25:{1,4,6,7}:{(11,1),(12,1),(36,1),(42,1),(216,1)}
        26:{2,4,6,7}:{(11,1),(13,1),(39,1),(43,1),(200,1)}
        27:{1,2,4,5,7}:{(12,1),(13,1),(14,1),(37,1),(40,1),(44,1),(45,1),(82,1),(85,1),(141,1),(144,1),(147,1)}
        28:{3,5,6}:{(14,1),(45,1),(46,1),(137,1),(193,1)}
        29:{1,2,4,7}:{(15,1),(16,1),(40,1),(48,1),(85,1)}
        30:{1,3,6}:{(16,1),(17,1),(48,1)}
        31:{1,2,3,5}:{(17,1),(47,1),(50,1),(93,1),(96,1)}
        32:{1,3,4}:{(17,1),(50,1)}
        33:{1,3,4,7}:{(18,1),(20,1),(52,1),(65,1)}
        34:{1,2,4,6}:{(18,1),(19,1),(21,1),(52,1),(53,1),(59,1)}
        35:{2,3,5}:{(19,1),(53,1),(55,1)}
        36:{1,3,6,7}:{(20,1),(25,1),(57,1),(64,1),(205,1)}
        37:{1,2,5,7}:{(20,1),(21,1),(52,1),(57,1),(58,1)}
        38:{2,3,5,6}:{(21,1),(28,1),(53,1),(58,1),(59,1),(102,1),(161,1),(172,1)}
        39:{2,3,6,7}:{(22,1),(26,1),(60,1),(64,1),(180,1)}
        40:{1,2,5,7}:{(22,1),(23,1),(29,1),(60,1),(61,1)}
        41:{1,3,5,6}:{(23,1),(28,1),(30,1),(61,1),(62,1),(70,1),(124,1),(174,1)}
        42:{1,5,6,7}:{(24,1),(25,1),(224,1)}
        43:{2,5,6,7}:{(24,1),(26,1),(214,1)}
        44:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(57,1),(60,1),(63,1),(64,1),(110,1),(113,1),(116,1),(170,1)}
        45:{3,5,7}:{(27,1),(28,1),(64,1),(65,1)}
        46:{3,4,6}:{(28,1),(59,1),(62,1),(65,1),(66,1)}
        47:{1,2,3,6}:{(30,1),(31,1),(67,1),(68,1),(126,1)}
        48:{1,3,7}:{(29,1),(30,1)}
        49:{1,3,4,6}:{(30,1),(32,1),(62,1),(68,1),(69,1),(70,1),(106,1),(124,1)}
        50:{1,2,4}:{(31,1),(32,1),(71,1)}
        51:{1,3,4,5}:{(32,1),(70,1),(72,1),(73,1),(165,1)}
        52:{1,2,4,7}:{(33,1),(34,1),(37,1),(75,1),(82,1)}
        53:{2,3,6}:{(34,1),(35,1),(75,1)}
        54:{1,2,3,5}:{(35,1),(74,1),(77,1),(130,1),(133,1)}
        55:{2,3,4}:{(35,1),(77,1)}
        56:{1,2,3,5,6}:{(38,1),(41,1),(47,1),(74,1),(79,1),(80,1),(93,1),(130,1),(137,1),(152,1),(153,1),(185,1),(186,1),(193,1),(195,1)}
        57:{1,2,6,7}:{(36,1),(37,1),(81,1),(186,1)}
        58:{2,3,5,7}:{(37,1),(38,1),(45,1),(75,1),(81,1),(82,1),(141,1)}
        59:{2,4,6}:{(38,1),(46,1),(82,1),(83,1)}
        60:{1,2,6,7}:{(39,1),(40,1),(84,1),(153,1)}
        61:{1,3,5,7}:{(40,1),(41,1),(45,1),(48,1),(84,1),(85,1),(144,1)}
        62:{1,4,6}:{(41,1),(46,1),(85,1),(86,1)}
        63:{1,2,5,6,7}:{(42,1),(43,1),(44,1),(87,1),(141,1),(144,1),(195,1)}
        64:{3,6,7}:{(44,1),(45,1),(193,1)}
        65:{3,4,7}:{(45,1),(46,1),(82,1),(85,1)}
        66:{3,4,5}:{(46,1),(83,1),(86,1),(137,1)}
        67:{1,2,3,7}:{(47,1),(48,1),(92,1),(156,1)}
        68:{1,2,4,6}:{(47,1),(49,1),(50,1),(91,1),(92,1),(93,1),(153,1)}
        69:{1,3,4,7}:{(48,1),(49,1),(85,1),(92,1),(94,1),(136,1)}
        70:{1,3,5}:{(49,1),(86,1),(93,1),(137,1)}
        71:{2,3,4}:{(50,1),(96,1)}
        72:{1,2,4,5}:{(50,1),(51,1),(93,1),(96,1),(97,1),(150,1)}
        73:{1,3,4,6}:{(51,1),(95,1),(97,1),(98,1),(191,1)}
        74:{1,2,3,6}:{(53,1),(54,1),(99,1),(100,1),(163,1)}
        75:{2,3,7}:{(52,1),(53,1)}
        76:{2,3,4,6}:{(53,1),(55,1),(59,1),(100,1),(101,1),(102,1),(106,1),(161,1)}
        77:{1,2,4}:{(54,1),(55,1),(103,1)}
        78:{2,3,4,5}:{(55,1),(102,1),(104,1),(105,1),(165,1)}
        79:{1,2,3,5,7}:{(56,1),(58,1),(61,1),(67,1),(99,1),(107,1),(108,1),(122,1),(159,1),(167,1),(169,1),(181,1),(206,1)}
        80:{1,2,4,6}:{(56,1),(59,1),(62,1),(106,1),(108,1),(109,1),(179,1),(204,1)}
        81:{2,3,6,7}:{(57,1),(58,1),(64,1),(110,1),(161,1)}
        82:{2,4,7}:{(58,1),(59,1),(65,1)}
        83:{2,4,5}:{(59,1),(66,1),(102,1)}
        84:{1,3,6,7}:{(60,1),(61,1),(64,1),(113,1),(124,1)}
        85:{1,4,7}:{(61,1),(62,1),(65,1)}
        86:{1,4,5}:{(62,1),(66,1),(70,1)}
        87:{3,5,6,7}:{(63,1),(64,1),(116,1),(117,1),(211,1)}
        88:{3,4,6,7}:{(64,1),(65,1),(110,1),(113,1),(116,1),(117,1),(118,1)}
        89:{3,4,5,7}:{(65,1),(66,1),(111,1),(114,1),(117,1),(118,1),(167,1),(210,1)}
        90:{3,4,5,6}:{(66,1),(112,1),(115,1),(118,1),(119,1),(168,1),(226,1)}
        91:{2,3,4,6}:{(68,1),(71,1),(106,1),(120,1),(121,1),(126,1),(179,1),(180,1)}
        92:{1,2,4,7}:{(67,1),(68,1),(69,1),(120,1),(122,1)}
        93:{1,2,5}:{(68,1),(70,1),(121,1)}
        94:{1,3,5,7}:{(69,1),(70,1),(114,1),(122,1),(124,1),(167,1)}
        95:{1,3,5,6}:{(70,1),(73,1),(115,1),(123,1),(124,1),(125,1),(168,1)}
        96:{2,3,5}:{(71,1),(72,1),(126,1)}
        97:{1,2,4,6}:{(72,1),(73,1),(123,1),(126,1),(127,1),(179,1)}
        98:{1,3,4,7}:{(73,1),(125,1),(127,1),(209,1)}
        99:{1,2,3,7}:{(74,1),(75,1),(129,1),(189,1)}
       100:{1,2,4,6}:{(74,1),(76,1),(77,1),(128,1),(129,1),(130,1),(186,1)}
       101:{2,3,4,7}:{(75,1),(76,1),(82,1),(129,1),(131,1),(136,1)}
       102:{2,3,5}:{(76,1),(83,1),(130,1),(137,1)}
       103:{1,3,4}:{(77,1),(133,1)}
       104:{1,2,4,5}:{(77,1),(78,1),(130,1),(133,1),(134,1),(183,1)}
       105:{2,3,4,6}:{(78,1),(132,1),(134,1),(135,1),(191,1)}
       106:{3,4,6}:{(80,1),(136,1),(137,1),(193,1)}
       107:{1,2,3,6,7}:{(79,1),(81,1),(84,1),(138,1),(153,1),(186,1),(193,1),(202,1),(218,1)}
       108:{1,2,4,7}:{(79,1),(80,1),(82,1),(85,1),(136,1),(201,1),(217,1)}
       109:{1,2,4,5}:{(80,1),(83,1),(86,1),(93,1),(130,1),(137,1),(150,1),(183,1)}
       110:{2,4,6,7}:{(81,1),(82,1),(88,1),(141,1),(142,1)}
       111:{2,4,5,7}:{(82,1),(83,1),(89,1),(131,1),(141,1),(142,1)}
       112:{2,4,5,6}:{(83,1),(90,1),(132,1),(142,1),(143,1)}
       113:{1,4,6,7}:{(84,1),(85,1),(88,1),(144,1),(145,1)}
       114:{1,4,5,7}:{(85,1),(86,1),(89,1),(94,1),(144,1),(145,1)}
       115:{1,4,5,6}:{(86,1),(90,1),(95,1),(145,1),(146,1)}
       116:{4,6,7}:{(87,1),(147,1),(221,1)}
       117:{3,5,7}:{(88,1),(141,1),(144,1),(147,1),(148,1)}
       118:{3,4,6}:{(89,1),(142,1),(145,1),(148,1),(193,1),(221,1)}
       119:{3,4,5,7}:{(90,1),(143,1),(146,1),(149,1),(194,1),(230,1)}
       120:{2,3,4,7}:{(91,1),(92,1),(136,1),(151,1),(156,1),(201,1)}
       121:{2,3,5}:{(91,1),(93,1),(137,1),(150,1)}
       122:{1,2,5,7}:{(92,1),(93,1),(94,1),(151,1),(153,1)}
       123:{1,2,5,6}:{(93,1),(95,1),(97,1),(152,1),(153,1),(154,1)}
       124:{1,3,6}:{(94,1),(145,1),(153,1),(193,1)}
       125:{1,3,5,7}:{(95,1),(98,1),(146,1),(154,1),(155,1),(194,1)}
       126:{2,3,6}:{(96,1),(97,1),(156,1)}
       127:{1,2,4,7}:{(97,1),(98,1),(154,1),(156,1),(201,1)}
       128:{1,3,4,6}:{(100,1),(103,1),(106,1),(157,1),(158,1),(163,1),(204,1),(205,1)}
       129:{1,2,4,7}:{(99,1),(100,1),(101,1),(157,1),(159,1)}
       130:{1,2,5}:{(100,1),(102,1),(158,1)}
       131:{2,3,5,7}:{(101,1),(102,1),(111,1),(159,1),(161,1),(167,1)}
       132:{2,3,5,6}:{(102,1),(105,1),(112,1),(160,1),(161,1),(162,1),(168,1)}
       133:{1,3,5}:{(103,1),(104,1),(163,1)}
       134:{1,2,4,6}:{(104,1),(105,1),(160,1),(163,1),(164,1),(204,1)}
       135:{2,3,4,7}:{(105,1),(162,1),(164,1),(209,1)}
       136:{3,4,7}:{(106,1),(108,1),(167,1)}
       137:{3,5}:{(106,1),(109,1)}
       138:{1,2,4,6,7}:{(107,1),(108,1),(110,1),(113,1),(166,1),(169,1),(170,1),(215,1),(225,1)}
       139:{1,2,4,5,7}:{(108,1),(109,1),(111,1),(114,1),(122,1),(159,1),(167,1),(169,1),(170,1),(178,1),(203,1),(210,1)}
       140:{1,2,4,5,6}:{(109,1),(112,1),(115,1),(123,1),(160,1),(168,1),(170,1),(171,1),(179,1),(204,1),(214,1),(224,1),(226,1)}
       141:{2,5,7}:{(110,1),(117,1),(172,1)}
       142:{2,4,6}:{(111,1),(118,1),(161,1),(172,1)}
       143:{2,4,5,7}:{(112,1),(119,1),(162,1),(173,1)}
       144:{1,5,7}:{(113,1),(117,1),(174,1)}
       145:{1,4,6}:{(114,1),(118,1),(124,1),(174,1)}
       146:{1,4,5,7}:{(115,1),(119,1),(125,1),(175,1)}
       147:{4,5,7}:{(116,1),(117,1),(176,1)}
       148:{3,5,6}:{(117,1),(118,1),(172,1),(174,1),(176,1)}
       149:{3,4,6,7}:{(118,1),(119,1),(173,1),(175,1),(177,1),(212,1),(228,1)}
       150:{2,4,5}:{(121,1),(165,1),(179,1)}
       151:{2,3,5,7}:{(120,1),(121,1),(122,1),(167,1),(178,1),(180,1)}
       152:{2,3,5,6}:{(121,1),(123,1),(126,1),(168,1),(179,1),(180,1),(181,1),(214,1)}
       153:{1,2,6}:{(122,1),(124,1),(180,1)}
       154:{1,2,5,7}:{(123,1),(125,1),(127,1),(181,1),(182,1)}
       155:{1,3,6,7}:{(124,1),(125,1),(175,1),(182,1),(212,1)}
       156:{2,3,7}:{(126,1),(127,1)}
       157:{1,3,4,7}:{(128,1),(129,1),(136,1),(184,1),(189,1),(217,1)}
       158:{1,3,5}:{(128,1),(130,1),(137,1),(183,1)}
       159:{1,2,5,7}:{(129,1),(130,1),(131,1),(184,1),(186,1)}
       160:{1,2,5,6}:{(130,1),(132,1),(134,1),(185,1),(186,1),(187,1)}
       161:{2,3,6}:{(131,1),(142,1),(186,1),(193,1)}
       162:{2,3,5,7}:{(132,1),(135,1),(143,1),(187,1),(188,1),(194,1)}
       163:{1,3,6}:{(133,1),(134,1),(189,1)}
       164:{1,2,4,7}:{(134,1),(135,1),(187,1),(189,1),(217,1)}
       165:{3,4,5}:{(137,1),(150,1),(183,1),(191,1)}
       166:{3,4,6,7}:{(136,1),(138,1),(192,1),(193,1),(221,1)}
       167:{3,5,7}:{(136,1),(137,1),(139,1),(193,1)}
       168:{3,5,6}:{(137,1),(140,1),(191,1),(193,1),(194,1)}
       169:{1,2,5,7}:{(138,1),(141,1),(144,1),(192,1),(195,1),(223,1),(229,1)}
       170:{1,2,4,6}:{(139,1),(142,1),(145,1),(153,1),(186,1),(193,1),(195,1),(200,1),(216,1),(221,1)}
       171:{1,2,4,5,7}:{(140,1),(143,1),(146,1),(154,1),(187,1),(194,1),(196,1),(201,1),(217,1),(223,1),(229,1),(230,1)}
       172:{2,5,6}:{(141,1),(142,1),(148,1)}
       173:{2,4,6,7}:{(142,1),(143,1),(149,1),(188,1),(197,1)}
       174:{1,5,6}:{(144,1),(145,1),(148,1)}
       175:{1,4,6,7}:{(145,1),(146,1),(149,1),(155,1),(198,1)}
       176:{4,5,6}:{(147,1),(148,1),(221,1)}
       177:{3,5,6,7}:{(148,1),(149,1),(197,1),(198,1),(199,1)}
       178:{2,4,5,7}:{(150,1),(151,1),(190,1),(200,1),(201,1),(223,1)}
       179:{2,4,6}:{(150,1),(152,1),(191,1),(201,1)}
       180:{2,3,6}:{(151,1),(153,1),(193,1),(200,1)}
       181:{2,3,5,7}:{(152,1),(154,1),(156,1),(194,1),(201,1),(202,1),(223,1)}
       182:{1,2,6,7}:{(153,1),(154,1),(155,1),(202,1)}
       183:{1,4,5}:{(158,1),(165,1),(204,1)}
       184:{1,3,5,7}:{(157,1),(158,1),(159,1),(167,1),(203,1),(205,1)}
       185:{1,3,5,6}:{(158,1),(160,1),(163,1),(168,1),(204,1),(205,1),(206,1),(224,1)}
       186:{1,2,6}:{(159,1),(161,1),(205,1)}
       187:{1,2,5,7}:{(160,1),(162,1),(164,1),(206,1),(207,1)}
       188:{2,3,6,7}:{(161,1),(162,1),(173,1),(207,1),(212,1)}
       189:{1,3,7}:{(163,1),(164,1)}
       190:{3,4,5,7}:{(165,1),(167,1),(178,1),(203,1),(208,1),(209,1),(210,1),(227,1)}
       191:{3,4,6}:{(165,1),(168,1),(179,1),(204,1),(209,1)}
       192:{3,5,7}:{(166,1),(169,1),(210,1),(211,1)}
       193:{3,6}:{(167,1),(170,1)}
       194:{3,5,7}:{(168,1),(171,1),(209,1),(212,1)}
       195:{1,2,5,6}:{(169,1),(170,1),(172,1),(174,1),(211,1),(214,1),(224,1)}
       196:{1,2,4,6,7}:{(170,1),(171,1),(173,1),(175,1),(182,1),(207,1),(212,1),(213,1),(215,1),(225,1),(228,1)}
       197:{2,5,6,7}:{(172,1),(173,1),(177,1)}
       198:{1,5,6,7}:{(174,1),(175,1),(177,1)}
       199:{4,5,6,7}:{(176,1),(177,1),(228,1)}
       200:{2,4,6}:{(178,1),(180,1),(208,1),(214,1)}
       201:{2,4,7}:{(179,1),(181,1),(209,1)}
       202:{2,3,6,7}:{(180,1),(181,1),(182,1),(212,1),(215,1)}
       203:{1,4,5,7}:{(183,1),(184,1),(190,1),(216,1),(217,1),(229,1)}
       204:{1,4,6}:{(183,1),(185,1),(191,1),(217,1)}
       205:{1,3,6}:{(184,1),(186,1),(193,1),(216,1)}
       206:{1,3,5,7}:{(185,1),(187,1),(189,1),(194,1),(217,1),(218,1),(229,1)}
       207:{1,2,6,7}:{(186,1),(187,1),(188,1),(218,1)}
       208:{3,4,6}:{(190,1),(193,1),(200,1),(216,1),(219,1),(221,1)}
       209:{3,4,7}:{(191,1),(194,1),(201,1),(217,1)}
       210:{4,5,7}:{(192,1),(221,1)}
       211:{3,5,6}:{(192,1),(193,1),(195,1),(221,1)}
       212:{3,6,7}:{(193,1),(194,1),(196,1)}
       213:{1,2,5,6,7}:{(195,1),(196,1),(197,1),(198,1),(222,1),(223,1),(229,1)}
       214:{2,5,6}:{(200,1),(219,1),(223,1)}
       215:{2,4,6,7}:{(200,1),(201,1),(202,1),(220,1),(223,1)}
       216:{1,4,6}:{(203,1),(205,1),(208,1),(224,1)}
       217:{1,4,7}:{(204,1),(206,1),(209,1)}
       218:{1,3,6,7}:{(205,1),(206,1),(207,1),(212,1),(225,1)}
       219:{3,5,6}:{(208,1),(214,1),(224,1),(226,1),(227,1)}
       220:{3,4,6,7}:{(208,1),(209,1),(212,1),(215,1),(225,1),(227,1),(228,1)}
       221:{4,6}:{(210,1),(211,1)}
       222:{3,5,6,7}:{(211,1),(212,1),(213,1),(227,1),(228,1)}
       223:{2,5,7}:{(214,1),(215,1),(227,1)}
       224:{1,5,6}:{(216,1),(219,1),(229,1)}
       225:{1,4,6,7}:{(216,1),(217,1),(218,1),(220,1),(229,1)}
       226:{4,5,6}:{(219,1),(221,1),(230,1)}
       227:{3,5,7}:{(219,1),(220,1),(223,1),(229,1),(230,1)}
       228:{4,6,7}:{(221,1),(222,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(227,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

1449 :   0:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(27,1),(29,1),(53,1),(66,1)}
         1:{2,3,5,6,7}:{(4,1),(6,1),(17,1),(28,1),(29,1),(50,1),(67,1)}
         2:{1,3,4,6,7}:{(7,1),(8,1),(14,1),(33,1),(48,1),(70,1),(78,1),(84,1),(107,1),(111,1),(119,1)}
         3:{2,3,4,6,7}:{(9,1),(10,1),(15,1),(35,1),(49,1),(73,1),(81,1),(85,1),(108,1),(112,1),(119,1)}
         4:{1,2,5,6,7}:{(0,1),(1,1),(13,1),(32,1),(34,1),(46,1),(47,1),(86,1)}
         5:{1,4,6,7}:{(0,1),(11,1),(14,1),(33,1),(72,1),(84,1)}
         6:{2,4,6,7}:{(1,1),(12,1),(15,1),(35,1),(69,1),(85,1)}
         7:{1,2,4,6,7}:{(2,1),(20,1),(21,1),(30,1),(51,1),(59,1),(68,1),(105,1),(125,1)}
         8:{1,3,5,7}:{(2,1),(16,1),(21,1),(22,1),(27,1),(60,1),(120,1),(123,1)}
         9:{1,2,4,6,7}:{(3,1),(23,1),(24,1),(31,1),(54,1),(62,1),(68,1),(105,1),(122,1)}
        10:{2,3,5,7}:{(3,1),(17,1),(24,1),(25,1),(28,1),(63,1),(121,1),(124,1)}
        11:{1,4,5,7}:{(5,1),(18,1),(27,1),(91,1)}
        12:{2,4,5,7}:{(6,1),(19,1),(28,1),(87,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(26,1),(29,1),(30,1),(31,1),(51,1),(54,1),(68,1),(105,1)}
        14:{3,4,6,7}:{(5,1),(27,1),(29,1),(30,1),(52,1),(65,1),(92,1)}
        15:{3,4,6,7}:{(6,1),(28,1),(29,1),(31,1),(55,1),(65,1),(88,1)}
        16:{1,3,5,6}:{(8,1),(32,1),(33,1),(37,1),(70,1)}
        17:{2,3,5,6}:{(10,1),(34,1),(35,1),(38,1),(73,1)}
        18:{1,4,5,6}:{(11,1),(33,1),(37,1)}
        19:{2,4,5,6}:{(12,1),(35,1),(38,1)}
        20:{2,3,6,7}:{(7,1),(39,1),(70,1),(119,1),(133,1)}
        21:{1,2,5,7}:{(7,1),(8,1),(32,1),(39,1),(46,1),(132,1)}
        22:{1,4,5,7}:{(8,1),(33,1),(41,1),(84,1),(114,1)}
        23:{1,3,6,7}:{(9,1),(42,1),(73,1),(119,1),(131,1)}
        24:{1,2,5,7}:{(9,1),(10,1),(34,1),(42,1),(47,1),(130,1)}
        25:{2,4,5,7}:{(10,1),(35,1),(44,1),(85,1),(115,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(36,1),(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        27:{3,5,7}:{(11,1),(14,1),(37,1),(46,1),(110,1)}
        28:{3,5,7}:{(12,1),(15,1),(38,1),(47,1),(106,1)}
        29:{3,6,7}:{(13,1),(45,1),(70,1),(73,1),(119,1)}
        30:{2,4,6,7}:{(14,1),(46,1),(49,1),(71,1),(85,1),(112,1)}
        31:{1,4,6,7}:{(15,1),(47,1),(48,1),(74,1),(84,1),(107,1)}
        32:{1,2,5,6}:{(16,1),(21,1),(50,1),(51,1),(57,1),(120,1)}
        33:{1,4,6}:{(16,1),(22,1),(52,1)}
        34:{1,2,5,6}:{(17,1),(24,1),(53,1),(54,1),(58,1),(124,1)}
        35:{2,4,6}:{(17,1),(25,1),(55,1)}
        36:{1,2,4,5,6}:{(18,1),(19,1),(26,1),(51,1),(54,1),(56,1),(57,1),(58,1),(87,1),(91,1),(96,1),(97,1),(98,1),(120,1),(124,1),(126,1)}
        37:{3,5,6}:{(18,1),(27,1),(52,1),(57,1)}
        38:{3,5,6}:{(19,1),(28,1),(55,1),(58,1)}
        39:{2,3,5,7}:{(20,1),(21,1),(50,1),(59,1),(60,1),(136,1)}
        40:{1,2,4,5,7}:{(21,1),(22,1),(51,1),(59,1),(60,1),(61,1),(87,1),(99,1),(101,1),(105,1),(120,1),(126,1)}
        41:{3,4,5,7}:{(22,1),(27,1),(52,1),(60,1),(61,1),(65,1),(95,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(53,1),(62,1),(63,1),(135,1)}
        43:{1,2,4,5,7}:{(24,1),(25,1),(54,1),(62,1),(63,1),(64,1),(91,1),(103,1),(104,1),(105,1),(124,1),(126,1)}
        44:{3,4,5,7}:{(25,1),(28,1),(55,1),(63,1),(64,1),(65,1),(95,1)}
        45:{3,5,7}:{(26,1),(29,1),(56,1),(65,1)}
        46:{2,5,7}:{(27,1),(30,1),(57,1),(124,1)}
        47:{1,5,7}:{(28,1),(31,1),(58,1),(120,1)}
        48:{1,3,6,7}:{(29,1),(31,1),(66,1),(68,1),(89,1),(93,1)}
        49:{2,3,6,7}:{(29,1),(30,1),(67,1),(68,1),(90,1),(94,1)}
        50:{2,3,5,6}:{(32,1),(39,1),(69,1),(70,1),(106,1)}
        51:{1,2,4,6}:{(32,1),(33,1),(40,1),(69,1),(70,1),(71,1),(107,1),(109,1)}
        52:{3,4,6}:{(33,1),(37,1),(41,1),(70,1),(71,1)}
        53:{1,3,5,6}:{(34,1),(42,1),(72,1),(73,1),(110,1)}
        54:{1,2,4,6}:{(34,1),(35,1),(43,1),(72,1),(73,1),(74,1),(112,1),(113,1)}
        55:{3,4,6}:{(35,1),(38,1),(44,1),(73,1),(74,1)}
        56:{3,5,6}:{(36,1),(45,1),(70,1),(73,1),(75,1),(106,1),(110,1),(134,1)}
        57:{2,5,6}:{(37,1),(46,1),(71,1)}
        58:{1,5,6}:{(38,1),(47,1),(74,1)}
        59:{2,4,7}:{(39,1),(69,1),(78,1),(139,1)}
        60:{3,5,7}:{(40,1),(70,1),(78,1),(106,1),(119,1),(134,1)}
        61:{2,4,5,7}:{(41,1),(46,1),(71,1),(80,1),(85,1),(115,1)}
        62:{1,4,7}:{(42,1),(72,1),(81,1),(138,1)}
        63:{3,5,7}:{(43,1),(73,1),(81,1),(110,1),(119,1),(134,1)}
        64:{1,4,5,7}:{(44,1),(47,1),(74,1),(82,1),(84,1),(114,1)}
        65:{3,4,7}:{(45,1),(75,1),(84,1),(85,1),(119,1)}
        66:{1,3,5,7}:{(45,1),(47,1),(48,1),(76,1),(84,1),(86,1),(119,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(49,1),(77,1),(85,1),(86,1),(119,1)}
        68:{1,2,6,7}:{(48,1),(49,1),(86,1),(109,1),(113,1)}
        69:{2,4,6}:{(50,1),(59,1),(87,1),(88,1)}
        70:{3,6}:{(51,1),(60,1)}
        71:{2,4,6}:{(52,1),(57,1),(61,1),(90,1)}
        72:{1,4,6}:{(53,1),(62,1),(91,1),(92,1)}
        73:{3,6}:{(54,1),(63,1)}
        74:{1,4,6}:{(55,1),(58,1),(64,1),(93,1)}
        75:{3,4,6}:{(56,1),(65,1),(95,1),(96,1),(97,1),(127,1),(137,1)}
        76:{1,3,5,6}:{(56,1),(58,1),(66,1),(89,1),(93,1),(96,1),(98,1),(120,1),(123,1),(127,1),(135,1)}
        77:{2,3,5,6}:{(56,1),(57,1),(67,1),(90,1),(94,1),(97,1),(98,1),(121,1),(124,1),(127,1),(136,1)}
        78:{3,4,7}:{(59,1),(60,1),(88,1),(99,1),(137,1)}
        79:{1,3,5,7}:{(60,1),(89,1),(99,1),(101,1),(120,1),(128,1),(135,1)}
        80:{2,3,5,7}:{(60,1),(61,1),(90,1),(100,1),(101,1),(121,1)}
        81:{3,4,7}:{(62,1),(63,1),(92,1),(103,1),(137,1)}
        82:{1,3,5,7}:{(63,1),(64,1),(93,1),(102,1),(104,1),(123,1)}
        83:{2,3,5,7}:{(63,1),(94,1),(103,1),(104,1),(124,1),(129,1),(136,1)}
        84:{1,4,7}:{(65,1),(66,1),(96,1)}
        85:{2,4,7}:{(65,1),(67,1),(97,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(98,1),(105,1)}
        87:{2,4,5}:{(69,1),(106,1)}
        88:{3,4,6}:{(69,1),(70,1),(78,1),(106,1),(107,1)}
        89:{1,3,6}:{(70,1),(79,1),(107,1),(109,1)}
        90:{2,3,6}:{(70,1),(71,1),(80,1),(109,1)}
        91:{1,4,5}:{(72,1),(110,1)}
        92:{3,4,6}:{(72,1),(73,1),(81,1),(110,1),(112,1)}
        93:{1,3,6}:{(73,1),(74,1),(82,1),(113,1)}
        94:{2,3,6}:{(73,1),(83,1),(112,1),(113,1)}
        95:{3,4,5}:{(75,1),(106,1),(110,1),(114,1),(115,1),(134,1)}
        96:{1,4,6}:{(75,1),(76,1),(84,1),(114,1),(138,1)}
        97:{2,4,6}:{(75,1),(77,1),(85,1),(115,1),(139,1)}
        98:{1,2,5,6}:{(76,1),(77,1),(86,1),(109,1),(113,1),(116,1),(130,1),(132,1)}
        99:{1,4,7}:{(78,1),(79,1),(107,1),(138,1)}
       100:{2,3,4,7}:{(78,1),(80,1),(85,1),(108,1),(117,1),(119,1)}
       101:{1,2,5,7}:{(79,1),(80,1),(109,1),(117,1),(130,1)}
       102:{1,3,4,7}:{(81,1),(82,1),(84,1),(111,1),(118,1),(119,1)}
       103:{2,4,7}:{(81,1),(83,1),(112,1),(139,1)}
       104:{1,2,5,7}:{(82,1),(83,1),(113,1),(118,1),(132,1)}
       105:{1,2,4,7}:{(84,1),(85,1),(86,1),(116,1),(119,1)}
       106:{3,5}:{(87,1),(88,1),(120,1)}
       107:{1,4,6}:{(88,1),(89,1),(99,1),(120,1)}
       108:{2,3,4,6}:{(88,1),(90,1),(97,1),(100,1),(121,1),(122,1),(127,1),(137,1)}
       109:{1,2,6}:{(89,1),(90,1),(101,1)}
       110:{3,5}:{(91,1),(92,1),(124,1)}
       111:{1,3,4,6}:{(92,1),(93,1),(96,1),(102,1),(123,1),(125,1),(127,1),(137,1)}
       112:{2,4,6}:{(92,1),(94,1),(103,1),(124,1)}
       113:{1,2,6}:{(93,1),(94,1),(104,1)}
       114:{1,4,5}:{(95,1),(96,1),(120,1),(123,1)}
       115:{2,4,5}:{(95,1),(97,1),(121,1),(124,1)}
       116:{1,2,4,6}:{(96,1),(97,1),(98,1),(105,1),(126,1),(127,1)}
       117:{1,2,4,7}:{(99,1),(100,1),(101,1),(122,1),(128,1)}
       118:{1,2,4,7}:{(102,1),(103,1),(104,1),(125,1),(129,1)}
       119:{3,7}:{(105,1),(127,1)}
       120:{1,5}:{(106,1),(107,1)}
       121:{2,3,5}:{(106,1),(108,1),(115,1),(130,1),(134,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(117,1),(130,1),(131,1),(138,1)}
       123:{1,3,5}:{(110,1),(111,1),(114,1),(132,1),(134,1)}
       124:{2,5}:{(110,1),(112,1)}
       125:{1,2,4,6}:{(111,1),(112,1),(113,1),(118,1),(132,1),(133,1),(139,1)}
       126:{1,2,4,5}:{(114,1),(115,1),(116,1),(130,1),(132,1),(134,1),(138,1),(139,1)}
       127:{3,6}:{(116,1),(119,1),(134,1)}
       128:{1,3,7}:{(117,1),(119,1),(131,1)}
       129:{2,3,7}:{(118,1),(119,1),(133,1)}
       130:{1,2,5}:{(120,1),(121,1),(122,1),(135,1)}
       131:{1,3,6}:{(122,1),(127,1),(128,1),(135,1)}
       132:{1,2,5}:{(123,1),(124,1),(125,1),(136,1)}
       133:{2,3,6}:{(125,1),(127,1),(129,1),(136,1)}
       134:{3,5}:{(126,1),(127,1),(137,1)}
       135:{1,3,5}:{(130,1),(131,1),(134,1),(138,1)}
       136:{2,3,5}:{(132,1),(133,1),(134,1),(139,1)}
       137:{3,4}:{(134,1),(138,1),(139,1)}
       138:{1,4}:{(135,1),(137,1)}
       139:{2,4}:{(136,1),(137,1)}

1450 :   0:{1,2,3,5,6}:{(1,1),(2,1),(7,1),(11,1),(36,1),(38,1),(40,1),(42,1),(44,1),(77,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(17,1),(24,1),(26,1),(56,1),(59,1),(61,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(51,1),(53,1)}
         3:{3,4,6}:{(2,1),(10,1),(11,1),(42,1)}
         4:{1,2,3,6,7}:{(1,1),(12,1),(42,1),(77,1),(79,1),(80,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(10,1),(72,1),(74,1)}
         6:{1,2,4,5}:{(2,1),(11,1),(31,1),(32,1),(36,1)}
         7:{1,2,3,6}:{(15,1),(17,1),(18,1),(85,1)}
         8:{2,3,4,6}:{(3,1),(18,1),(19,1),(20,1),(46,1),(51,1),(58,1),(83,1),(85,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(21,1),(22,1),(46,1),(53,1),(60,1),(83,1),(85,1)}
        10:{3,4,7}:{(3,1),(5,1),(24,1)}
        11:{3,5}:{(3,1),(6,1)}
        12:{1,2,4,6,7}:{(4,1),(5,1),(23,1),(26,1),(27,1),(90,1),(92,1)}
        13:{1,2,4,5,7}:{(5,1),(6,1),(24,1),(26,1),(27,1),(50,1),(52,1),(56,1),(62,1)}
        14:{1,2,4,5,6}:{(6,1),(25,1),(27,1),(28,1),(51,1),(53,1),(57,1),(89,1),(91,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(30,1),(36,1),(67,1)}
        16:{3,4,5}:{(11,1),(31,1),(32,1),(34,1),(67,1)}
        17:{1,2,3,7}:{(7,1),(35,1),(99,1)}
        18:{1,2,4,6}:{(7,1),(8,1),(9,1),(30,1),(35,1),(36,1),(77,1)}
        19:{2,3,4,7}:{(8,1),(10,1),(35,1),(37,1),(66,1),(72,1),(99,1)}
        20:{2,3,5}:{(8,1),(11,1),(31,1),(36,1),(67,1),(97,1)}
        21:{1,3,4,7}:{(9,1),(10,1),(35,1),(39,1),(66,1),(74,1),(99,1)}
        22:{1,3,5}:{(9,1),(11,1),(32,1),(36,1),(67,1),(97,1)}
        23:{3,4,6,7}:{(10,1),(12,1),(41,1),(42,1),(81,1)}
        24:{3,5,7}:{(10,1),(11,1),(13,1),(42,1)}
        25:{3,5,6}:{(11,1),(14,1),(34,1),(42,1),(43,1)}
        26:{1,2,5,7}:{(12,1),(41,1),(44,1),(102,1),(103,1)}
        27:{1,2,4,6}:{(13,1),(42,1),(44,1),(71,1),(73,1),(77,1),(81,1)}
        28:{1,2,4,5,7}:{(14,1),(43,1),(45,1),(72,1),(74,1),(78,1),(102,1),(103,1),(104,1)}
        29:{1,2,3,5,7}:{(15,1),(17,1),(47,1),(48,1),(56,1),(84,1),(86,1)}
        30:{1,2,4}:{(15,1),(46,1)}
        31:{2,4,5}:{(16,1),(20,1),(51,1),(105,1)}
        32:{1,4,5}:{(16,1),(22,1),(53,1),(105,1)}
        33:{3,4,5,7}:{(16,1),(24,1),(50,1),(52,1),(54,1),(55,1),(62,1),(84,1),(94,1),(105,1),(111,1)}
        34:{3,4,6}:{(16,1),(25,1),(51,1),(53,1),(55,1),(85,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(19,1),(21,1),(56,1)}
        36:{1,2,5}:{(18,1),(20,1),(22,1)}
        37:{2,3,5,7}:{(19,1),(20,1),(24,1),(50,1),(56,1),(58,1),(84,1)}
        38:{2,3,5,6}:{(20,1),(25,1),(51,1),(57,1),(58,1),(59,1),(85,1),(89,1),(106,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(24,1),(52,1),(56,1),(60,1),(84,1)}
        40:{1,3,5,6}:{(22,1),(25,1),(53,1),(57,1),(60,1),(61,1),(85,1),(91,1),(106,1)}
        41:{3,5,7}:{(23,1),(26,1),(62,1),(63,1)}
        42:{3,6}:{(24,1),(27,1)}
        43:{3,5,7}:{(25,1),(28,1),(55,1),(64,1)}
        44:{1,2,5,6}:{(26,1),(27,1),(63,1),(89,1),(91,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(64,1),(65,1),(90,1),(92,1),(95,1),(96,1)}
        46:{3,4}:{(30,1),(67,1)}
        47:{1,2,3,6}:{(29,1),(68,1),(77,1),(98,1)}
        48:{1,2,4,7}:{(29,1),(30,1),(66,1),(68,1)}
        49:{1,2,4,5}:{(30,1),(31,1),(32,1),(36,1),(67,1),(70,1)}
        50:{2,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(102,1)}
        51:{2,4,6}:{(31,1),(34,1),(38,1),(72,1),(109,1)}
        52:{1,4,5,7}:{(32,1),(33,1),(39,1),(73,1),(74,1),(103,1)}
        53:{1,4,6}:{(32,1),(34,1),(40,1),(74,1),(109,1)}
        54:{3,4,6}:{(33,1),(42,1),(71,1),(73,1),(75,1),(81,1),(98,1),(109,1)}
        55:{3,4,7}:{(34,1),(43,1),(72,1),(74,1),(99,1)}
        56:{1,2,5,7}:{(35,1),(36,1),(37,1),(39,1),(77,1)}
        57:{1,2,5,6}:{(36,1),(38,1),(40,1),(70,1),(77,1),(78,1)}
        58:{2,3,6}:{(37,1),(42,1),(71,1),(77,1),(98,1)}
        59:{2,3,5,7}:{(38,1),(43,1),(72,1),(78,1),(79,1),(99,1),(102,1),(110,1)}
        60:{1,3,6}:{(39,1),(42,1),(73,1),(77,1),(98,1)}
        61:{1,3,5,7}:{(40,1),(43,1),(74,1),(78,1),(80,1),(99,1),(103,1),(110,1)}
        62:{4,5,7}:{(41,1),(81,1)}
        63:{3,5,6}:{(41,1),(42,1),(44,1),(81,1)}
        64:{3,6,7}:{(42,1),(43,1),(45,1)}
        65:{1,2,5,6,7}:{(44,1),(45,1),(82,1),(102,1),(103,1)}
        66:{3,4,7}:{(46,1),(48,1),(83,1),(84,1),(111,1)}
        67:{3,5}:{(46,1),(49,1),(85,1)}
        68:{1,2,4,6}:{(47,1),(48,1),(83,1),(86,1)}
        69:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(52,1),(56,1),(84,1),(86,1),(87,1),(88,1),(105,1),(108,1),(111,1)}
        70:{1,2,4,6}:{(49,1),(51,1),(53,1),(57,1),(85,1),(88,1)}
        71:{2,4,6}:{(50,1),(54,1),(58,1),(89,1)}
        72:{2,4,7}:{(51,1),(55,1),(59,1),(111,1)}
        73:{1,4,6}:{(52,1),(54,1),(60,1),(91,1)}
        74:{1,4,7}:{(53,1),(55,1),(61,1),(111,1)}
        75:{3,5,6}:{(54,1),(89,1),(91,1),(93,1),(94,1)}
        76:{3,4,6,7}:{(54,1),(55,1),(64,1),(90,1),(92,1),(94,1),(96,1),(107,1),(111,1)}
        77:{1,2,6}:{(56,1),(58,1),(60,1)}
        78:{1,2,5,7}:{(57,1),(59,1),(61,1),(88,1),(95,1)}
        79:{2,3,6,7}:{(58,1),(59,1),(64,1),(90,1),(95,1),(107,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(64,1),(92,1),(95,1),(107,1)}
        81:{4,6}:{(62,1),(63,1)}
        82:{3,5,6,7}:{(63,1),(64,1),(65,1),(94,1),(96,1)}
        83:{3,4,6}:{(66,1),(68,1),(97,1),(98,1),(109,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(97,1),(98,1),(99,1)}
        85:{3,6}:{(67,1),(70,1),(99,1)}
        86:{1,2,5}:{(68,1),(97,1)}
        87:{1,2,4,6}:{(69,1),(71,1),(73,1),(77,1),(98,1),(100,1),(109,1)}
        88:{1,2,4,7}:{(70,1),(72,1),(74,1),(78,1),(99,1)}
        89:{2,5,6}:{(71,1),(75,1),(102,1)}
        90:{2,4,6,7}:{(71,1),(72,1),(76,1),(79,1),(102,1)}
        91:{1,5,6}:{(73,1),(75,1),(103,1)}
        92:{1,4,6,7}:{(73,1),(74,1),(76,1),(80,1),(103,1)}
        93:{4,5,6}:{(75,1),(81,1),(104,1),(109,1)}
        94:{3,5,7}:{(75,1),(76,1),(102,1),(103,1),(104,1)}
        95:{1,2,6,7}:{(77,1),(78,1),(79,1),(80,1)}
        96:{4,6,7}:{(81,1),(82,1),(104,1)}
        97:{3,5}:{(83,1),(86,1),(105,1)}
        98:{3,6}:{(84,1),(87,1)}
        99:{3,7}:{(85,1),(88,1)}
       100:{1,2,5,6}:{(86,1),(87,1),(89,1),(91,1),(106,1),(108,1)}
       101:{1,2,4,6,7}:{(87,1),(88,1),(90,1),(92,1),(95,1),(107,1),(108,1),(111,1)}
       102:{2,5,7}:{(89,1),(90,1),(94,1)}
       103:{1,5,7}:{(91,1),(92,1),(94,1)}
       104:{4,5,7}:{(93,1),(94,1),(96,1),(111,1)}
       105:{4,5}:{(97,1),(109,1)}
       106:{3,5,6}:{(97,1),(98,1),(100,1),(109,1),(110,1)}
       107:{3,6,7}:{(98,1),(99,1),(101,1),(110,1)}
       108:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1451 :   0:{1,2,3,6,7}:{(2,1),(3,1),(38,1),(75,1),(76,1),(77,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(11,1),(15,1),(38,1),(43,1),(44,1),(45,1),(46,1),(77,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(84,1),(85,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(23,1),(59,1),(60,1),(61,1),(62,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(53,1),(54,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(13,1),(32,1),(38,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(11,1),(94,1),(95,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(13,1),(71,1),(72,1)}
         8:{1,2,4,5}:{(4,1),(15,1),(35,1),(36,1),(45,1)}
         9:{3,4,6}:{(4,1),(13,1),(15,1),(38,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,5,6}:{(6,1),(18,1),(22,1),(82,1),(83,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(22,1),(23,1),(50,1),(51,1),(59,1)}
        13:{3,4,7}:{(7,1),(9,1),(23,1)}
        14:{1,2,4,5,6}:{(8,1),(22,1),(26,1),(27,1),(47,1),(53,1),(54,1),(63,1),(82,1),(83,1)}
        15:{3,5}:{(8,1),(9,1)}
        16:{1,3,4,6}:{(9,1),(24,1),(28,1),(30,1),(53,1),(57,1),(89,1),(90,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(25,1),(29,1),(30,1),(54,1),(58,1),(89,1),(90,1),(105,1)}
        18:{3,5,6}:{(10,1),(11,1),(32,1),(38,1)}
        19:{4,5,7}:{(10,1),(32,1)}
        20:{3,4,5}:{(15,1),(34,1),(35,1),(36,1),(74,1)}
        21:{1,2,5,6,7}:{(11,1),(31,1),(37,1),(94,1),(95,1)}
        22:{1,2,4,6}:{(11,1),(12,1),(32,1),(38,1),(68,1),(69,1),(77,1)}
        23:{3,5,7}:{(12,1),(13,1),(15,1),(38,1)}
        24:{1,3,4,7}:{(13,1),(16,1),(39,1),(41,1),(71,1),(99,1),(100,1)}
        25:{2,3,4,7}:{(13,1),(17,1),(40,1),(41,1),(72,1),(99,1),(100,1)}
        26:{1,2,4,5,7}:{(14,1),(37,1),(42,1),(65,1),(71,1),(72,1),(79,1),(94,1),(95,1)}
        27:{3,5,6}:{(14,1),(15,1),(34,1),(38,1),(42,1)}
        28:{1,3,5}:{(15,1),(16,1),(35,1),(45,1),(74,1),(109,1)}
        29:{2,3,5}:{(15,1),(17,1),(36,1),(45,1),(74,1),(109,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(41,1),(45,1),(46,1),(77,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(48,1),(56,1),(81,1)}
        32:{4,6}:{(18,1),(19,1)}
        33:{3,4,5,7}:{(19,1),(20,1),(23,1),(49,1),(50,1),(51,1),(52,1),(81,1),(87,1),(110,1),(111,1)}
        34:{3,4,6}:{(20,1),(27,1),(52,1),(53,1),(54,1),(89,1)}
        35:{1,4,5}:{(20,1),(28,1),(53,1),(111,1)}
        36:{2,4,5}:{(20,1),(29,1),(54,1),(111,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(26,1),(48,1),(56,1),(84,1),(85,1),(91,1)}
        38:{3,6}:{(22,1),(23,1)}
        39:{1,3,5,7}:{(23,1),(24,1),(28,1),(50,1),(57,1),(59,1),(87,1)}
        40:{2,3,5,7}:{(23,1),(25,1),(29,1),(51,1),(58,1),(59,1),(87,1)}
        41:{1,2,4,7}:{(24,1),(25,1),(30,1),(59,1),(60,1)}
        42:{3,5,7}:{(26,1),(27,1),(52,1),(56,1)}
        43:{1,3,5,6}:{(27,1),(28,1),(53,1),(57,1),(61,1),(63,1),(82,1),(89,1),(103,1)}
        44:{2,3,5,6}:{(27,1),(29,1),(54,1),(58,1),(62,1),(63,1),(83,1),(89,1),(103,1)}
        45:{1,2,5}:{(28,1),(29,1),(30,1)}
        46:{1,2,3,6}:{(30,1),(60,1),(64,1),(89,1)}
        47:{4,5,6}:{(32,1),(65,1),(66,1),(108,1)}
        48:{4,6,7}:{(31,1),(32,1),(65,1)}
        49:{3,4,6}:{(32,1),(33,1),(38,1),(66,1),(68,1),(69,1),(98,1),(108,1)}
        50:{1,4,5,7}:{(33,1),(35,1),(39,1),(68,1),(71,1),(94,1)}
        51:{2,4,5,7}:{(33,1),(36,1),(40,1),(69,1),(72,1),(95,1)}
        52:{3,4,7}:{(34,1),(42,1),(71,1),(72,1),(100,1)}
        53:{1,4,6}:{(34,1),(35,1),(43,1),(71,1),(108,1)}
        54:{2,4,6}:{(34,1),(36,1),(44,1),(72,1),(108,1)}
        55:{1,2,4,5}:{(35,1),(36,1),(45,1),(73,1),(74,1),(80,1)}
        56:{3,6,7}:{(37,1),(38,1),(42,1)}
        57:{1,3,6}:{(38,1),(39,1),(68,1),(77,1),(98,1)}
        58:{2,3,6}:{(38,1),(40,1),(69,1),(77,1),(98,1)}
        59:{1,2,5,7}:{(39,1),(40,1),(41,1),(45,1),(77,1)}
        60:{1,2,3,7}:{(41,1),(46,1),(100,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(71,1),(75,1),(79,1),(94,1),(100,1),(107,1)}
        62:{2,3,5,7}:{(42,1),(44,1),(72,1),(76,1),(79,1),(95,1),(100,1),(107,1)}
        63:{1,2,5,6}:{(43,1),(44,1),(45,1),(73,1),(77,1),(79,1)}
        64:{1,2,3,5}:{(45,1),(46,1),(74,1),(80,1)}
        65:{4,5,7}:{(47,1),(48,1),(81,1),(110,1)}
        66:{3,5,6}:{(47,1),(49,1),(81,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(48,1),(49,1),(52,1),(56,1),(81,1),(84,1),(85,1),(104,1),(110,1)}
        68:{1,4,6}:{(49,1),(50,1),(57,1),(82,1)}
        69:{2,4,6}:{(49,1),(51,1),(58,1),(83,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(55,1),(59,1),(86,1),(87,1),(88,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        71:{1,4,7}:{(52,1),(53,1),(61,1),(110,1)}
        72:{2,4,7}:{(52,1),(54,1),(62,1),(110,1)}
        73:{1,2,4,6}:{(53,1),(54,1),(55,1),(63,1),(88,1),(89,1)}
        74:{3,5}:{(55,1),(89,1),(90,1)}
        75:{1,3,6,7}:{(56,1),(57,1),(61,1),(84,1),(91,1),(104,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(62,1),(85,1),(91,1),(104,1)}
        77:{1,2,6}:{(57,1),(58,1),(59,1)}
        78:{1,2,3,5,7}:{(59,1),(60,1),(64,1),(87,1),(92,1),(93,1),(106,1)}
        79:{1,2,5,7}:{(61,1),(62,1),(63,1),(88,1),(91,1)}
        80:{1,2,4}:{(64,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(67,1),(94,1),(95,1)}
        82:{1,5,6}:{(66,1),(68,1),(94,1)}
        83:{2,5,6}:{(66,1),(69,1),(95,1)}
        84:{1,4,6,7}:{(67,1),(68,1),(71,1),(75,1),(94,1)}
        85:{2,4,6,7}:{(67,1),(69,1),(72,1),(76,1),(95,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(96,1),(98,1),(108,1)}
        87:{3,5,7}:{(70,1),(74,1),(98,1),(99,1),(100,1),(109,1)}
        88:{1,2,4,7}:{(71,1),(72,1),(73,1),(79,1),(100,1)}
        89:{3,6}:{(73,1),(74,1),(100,1)}
        90:{3,4}:{(74,1),(80,1)}
        91:{1,2,6,7}:{(75,1),(76,1),(77,1),(79,1)}
        92:{1,2,3,6}:{(77,1),(78,1),(98,1),(101,1)}
        93:{1,2,4,7}:{(78,1),(80,1),(99,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(84,1)}
        95:{2,5,7}:{(81,1),(83,1),(85,1)}
        96:{1,2,5,6}:{(82,1),(83,1),(86,1),(102,1),(103,1),(106,1)}
        97:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(102,1),(104,1),(110,1)}
        98:{3,6}:{(86,1),(87,1)}
        99:{3,4,7}:{(87,1),(90,1),(93,1),(105,1),(110,1)}
       100:{3,7}:{(88,1),(89,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(97,1),(107,1)}
       103:{3,5,6}:{(96,1),(98,1),(107,1),(108,1),(109,1)}
       104:{3,6,7}:{(97,1),(98,1),(100,1),(107,1)}
       105:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(103,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1452 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(24,1),(188,1),(198,1),(218,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(76,1),(84,1),(148,1)}
         2:{1,4,5,6}:{(0,1),(9,1),(11,1),(202,1),(224,1)}
         3:{2,4,5,6}:{(0,1),(8,1),(12,1),(176,1),(213,1)}
         4:{3,4,5,7}:{(0,1),(11,1),(12,1),(13,1),(47,1),(175,1)}
         5:{2,3,4,6}:{(1,1),(8,1),(15,1),(16,1),(46,1)}
         6:{1,2,4,5}:{(1,1),(15,1),(17,1),(57,1),(103,1),(117,1)}
         7:{1,3,4,5}:{(18,1),(19,1),(76,1),(124,1),(184,1)}
         8:{2,3,5,6}:{(3,1),(5,1),(20,1),(21,1),(24,1),(148,1),(201,1)}
         9:{1,3,5,6}:{(2,1),(18,1),(22,1),(23,1),(24,1),(184,1),(217,1)}
        10:{1,2,4,5,6}:{(2,1),(3,1),(20,1),(22,1),(24,1),(25,1),(70,1),(73,1),(135,1),(194,1),(196,1),(197,1),(198,1)}
        11:{1,4,5,7}:{(2,1),(4,1),(23,1),(26,1)}
        12:{2,4,5,7}:{(3,1),(4,1),(21,1),(27,1)}
        13:{3,4,6,7}:{(4,1),(26,1),(27,1),(28,1),(78,1),(144,1),(218,1)}
        14:{1,3,4,5}:{(29,1),(30,1),(34,1),(87,1),(188,1)}
        15:{1,2,4,6}:{(5,1),(6,1),(20,1),(32,1),(33,1),(70,1)}
        16:{2,3,4,7}:{(5,1),(21,1),(33,1),(77,1)}
        17:{1,3,5}:{(6,1),(32,1),(34,1)}
        18:{1,3,4,6}:{(7,1),(9,1),(36,1),(37,1),(46,1)}
        19:{1,2,4,5}:{(7,1),(36,1),(38,1),(94,1),(106,1),(157,1)}
        20:{1,2,5,6}:{(8,1),(15,1),(40,1),(41,1),(117,1),(180,1)}
        21:{2,3,5,7}:{(8,1),(12,1),(16,1),(41,1),(42,1),(47,1)}
        22:{1,2,5,6}:{(9,1),(36,1),(43,1),(44,1),(157,1),(206,1)}
        23:{1,3,5,7}:{(9,1),(11,1),(37,1),(44,1),(45,1),(47,1)}
        24:{3,5,6}:{(10,1),(46,1),(47,1),(166,1),(210,1)}
        25:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(41,1),(44,1),(47,1),(48,1),(104,1),(107,1),(171,1),(173,1),(175,1)}
        26:{1,4,6,7}:{(11,1),(13,1),(45,1),(49,1),(224,1)}
        27:{2,4,6,7}:{(12,1),(13,1),(42,1),(50,1),(213,1)}
        28:{3,5,6,7}:{(13,1),(49,1),(50,1),(51,1),(226,1)}
        29:{1,3,4,6}:{(14,1),(52,1),(53,1),(54,1),(160,1)}
        30:{1,2,4,5}:{(14,1),(53,1),(55,1),(57,1),(117,1),(176,1)}
        31:{1,2,3,5}:{(17,1),(55,1),(56,1),(57,1),(117,1)}
        32:{1,3,6}:{(15,1),(17,1),(59,1)}
        33:{1,2,4,7}:{(15,1),(16,1),(41,1),(59,1),(104,1)}
        34:{1,3,4}:{(17,1),(57,1)}
        35:{2,3,4,5}:{(60,1),(61,1),(65,1),(127,1),(188,1)}
        36:{1,2,4,6}:{(18,1),(19,1),(22,1),(63,1),(64,1),(73,1)}
        37:{1,3,4,7}:{(18,1),(23,1),(64,1),(77,1)}
        38:{2,3,5}:{(19,1),(63,1),(65,1)}
        39:{3,4,5,6}:{(66,1),(67,1),(68,1),(76,1),(129,1),(142,1),(230,1)}
        40:{1,3,5,6}:{(20,1),(24,1),(32,1),(70,1),(71,1),(87,1),(151,1),(196,1)}
        41:{1,2,5,7}:{(20,1),(21,1),(33,1),(71,1),(72,1)}
        42:{2,3,6,7}:{(21,1),(27,1),(72,1),(78,1),(201,1)}
        43:{2,3,5,6}:{(22,1),(24,1),(63,1),(73,1),(74,1),(127,1),(187,1),(197,1)}
        44:{1,2,5,7}:{(22,1),(23,1),(64,1),(74,1),(75,1)}
        45:{1,3,6,7}:{(23,1),(26,1),(75,1),(78,1),(217,1)}
        46:{3,4,6}:{(24,1),(70,1),(73,1),(76,1),(77,1)}
        47:{3,5,7}:{(24,1),(25,1),(77,1),(78,1)}
        48:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(72,1),(75,1),(78,1),(79,1),(139,1),(141,1),(144,1),(194,1)}
        49:{1,5,6,7}:{(26,1),(28,1),(229,1)}
        50:{2,5,6,7}:{(27,1),(28,1),(223,1)}
        51:{4,5,6,7}:{(28,1),(144,1),(230,1)}
        52:{1,3,5,6}:{(29,1),(66,1),(80,1),(81,1),(87,1),(129,1),(151,1)}
        53:{1,2,4,6}:{(29,1),(30,1),(80,1),(82,1),(83,1),(145,1)}
        54:{1,3,4,7}:{(29,1),(81,1),(83,1),(189,1)}
        55:{2,3,5}:{(30,1),(82,1),(84,1)}
        56:{1,2,3,6}:{(31,1),(32,1),(82,1),(85,1),(86,1)}
        57:{1,2,4}:{(31,1),(34,1),(84,1)}
        58:{1,3,4,6}:{(32,1),(34,1),(70,1),(85,1),(87,1),(88,1),(134,1),(151,1)}
        59:{1,3,7}:{(32,1),(33,1)}
        60:{2,3,4,6}:{(35,1),(89,1),(90,1),(91,1),(160,1)}
        61:{1,2,4,5}:{(35,1),(90,1),(92,1),(94,1),(157,1),(202,1)}
        62:{1,2,3,5}:{(38,1),(92,1),(93,1),(94,1),(157,1)}
        63:{2,3,6}:{(36,1),(38,1),(96,1)}
        64:{1,2,4,7}:{(36,1),(37,1),(44,1),(96,1),(107,1)}
        65:{2,3,4}:{(38,1),(94,1)}
        66:{1,4,5,6}:{(39,1),(52,1),(98,1),(103,1),(170,1)}
        67:{2,4,5,6}:{(39,1),(89,1),(99,1),(106,1),(172,1)}
        68:{3,4,5,7}:{(39,1),(98,1),(99,1),(100,1),(161,1),(227,1)}
        69:{1,2,3,5,6}:{(40,1),(43,1),(56,1),(93,1),(101,1),(102,1),(112,1),(117,1),(152,1),(157,1),(166,1),(180,1),(206,1),(210,1),(212,1)}
        70:{1,4,6}:{(40,1),(46,1),(103,1),(104,1)}
        71:{1,3,5,7}:{(40,1),(41,1),(47,1),(59,1),(104,1),(105,1),(171,1)}
        72:{1,2,6,7}:{(41,1),(42,1),(105,1),(180,1)}
        73:{2,4,6}:{(43,1),(46,1),(106,1),(107,1)}
        74:{2,3,5,7}:{(43,1),(44,1),(47,1),(96,1),(107,1),(108,1),(173,1)}
        75:{1,2,6,7}:{(44,1),(45,1),(108,1),(206,1)}
        76:{3,4,5}:{(46,1),(103,1),(106,1),(166,1)}
        77:{3,4,7}:{(46,1),(47,1),(104,1),(107,1)}
        78:{3,6,7}:{(47,1),(48,1),(210,1)}
        79:{1,2,5,6,7}:{(48,1),(49,1),(50,1),(111,1),(171,1),(173,1),(212,1)}
        80:{1,2,5,6}:{(52,1),(53,1),(112,1),(113,1),(117,1),(180,1)}
        81:{1,3,5,7}:{(52,1),(54,1),(98,1),(113,1),(114,1),(161,1)}
        82:{2,3,6}:{(53,1),(55,1),(116,1)}
        83:{1,2,4,7}:{(53,1),(54,1),(113,1),(116,1),(177,1)}
        84:{2,3,4}:{(55,1),(57,1)}
        85:{1,2,4,6}:{(56,1),(57,1),(58,1),(115,1),(117,1),(118,1),(180,1)}
        86:{1,2,3,7}:{(56,1),(59,1),(116,1),(118,1)}
        87:{1,3,5}:{(58,1),(103,1),(117,1),(166,1)}
        88:{1,3,4,7}:{(58,1),(59,1),(104,1),(118,1),(119,1),(167,1)}
        89:{2,3,5,6}:{(60,1),(67,1),(120,1),(121,1),(127,1),(129,1),(187,1)}
        90:{1,2,4,6}:{(60,1),(61,1),(120,1),(122,1),(123,1),(181,1)}
        91:{2,3,4,7}:{(60,1),(121,1),(123,1),(189,1)}
        92:{1,3,5}:{(61,1),(122,1),(124,1)}
        93:{1,2,3,6}:{(62,1),(63,1),(122,1),(125,1),(126,1)}
        94:{1,2,4}:{(62,1),(65,1),(124,1)}
        95:{2,3,4,6}:{(63,1),(65,1),(73,1),(125,1),(127,1),(128,1),(134,1),(187,1)}
        96:{2,3,7}:{(63,1),(64,1)}
        97:{1,2,4,5,6}:{(66,1),(67,1),(80,1),(120,1),(129,1),(130,1),(135,1),(145,1),(181,1),(194,1),(223,1),(229,1),(230,1)}
        98:{1,4,5,7}:{(66,1),(68,1),(81,1),(131,1)}
        99:{2,4,5,7}:{(67,1),(68,1),(121,1),(132,1)}
       100:{3,4,6,7}:{(68,1),(131,1),(132,1),(133,1),(142,1),(190,1),(220,1)}
       101:{1,2,4,6}:{(69,1),(70,1),(73,1),(134,1),(135,1),(136,1),(145,1),(181,1)}
       102:{1,2,3,5,7}:{(69,1),(71,1),(74,1),(86,1),(126,1),(136,1),(137,1),(146,1),(150,1),(182,1),(186,1),(192,1),(195,1)}
       103:{1,4,5}:{(70,1),(76,1),(87,1)}
       104:{1,4,7}:{(70,1),(71,1),(77,1)}
       105:{1,3,6,7}:{(71,1),(72,1),(78,1),(139,1),(151,1)}
       106:{2,4,5}:{(73,1),(76,1),(127,1)}
       107:{2,4,7}:{(73,1),(74,1),(77,1)}
       108:{2,3,6,7}:{(74,1),(75,1),(78,1),(141,1),(187,1)}
       109:{3,4,5,7}:{(76,1),(77,1),(138,1),(140,1),(142,1),(143,1),(192,1),(222,1)}
       110:{3,4,6,7}:{(77,1),(78,1),(139,1),(141,1),(142,1),(143,1),(144,1)}
       111:{3,5,6,7}:{(78,1),(79,1),(143,1),(144,1),(221,1)}
       112:{2,3,5,6}:{(80,1),(82,1),(129,1),(145,1),(146,1),(148,1),(201,1),(223,1)}
       113:{1,2,5,7}:{(80,1),(81,1),(83,1),(146,1),(147,1)}
       114:{1,3,6,7}:{(81,1),(131,1),(147,1),(151,1),(190,1)}
       115:{2,3,4,6}:{(82,1),(84,1),(85,1),(134,1),(145,1),(148,1),(149,1),(201,1)}
       116:{2,3,7}:{(82,1),(83,1)}
       117:{1,2,5}:{(85,1),(87,1),(148,1)}
       118:{1,2,4,7}:{(85,1),(86,1),(88,1),(149,1),(150,1)}
       119:{1,3,5,7}:{(87,1),(88,1),(138,1),(150,1),(151,1),(192,1)}
       120:{1,2,5,6}:{(89,1),(90,1),(152,1),(153,1),(157,1),(206,1)}
       121:{2,3,5,7}:{(89,1),(91,1),(99,1),(153,1),(154,1),(161,1)}
       122:{1,3,6}:{(90,1),(92,1),(156,1)}
       123:{1,2,4,7}:{(90,1),(91,1),(153,1),(156,1),(203,1)}
       124:{1,3,4}:{(92,1),(94,1)}
       125:{1,2,4,6}:{(93,1),(94,1),(95,1),(155,1),(157,1),(158,1),(206,1)}
       126:{1,2,3,7}:{(93,1),(96,1),(156,1),(158,1)}
       127:{2,3,5}:{(95,1),(106,1),(157,1),(166,1)}
       128:{2,3,4,7}:{(95,1),(96,1),(107,1),(158,1),(159,1),(167,1)}
       129:{3,5,6}:{(97,1),(160,1),(161,1),(166,1),(210,1)}
       130:{1,2,4,5,7}:{(97,1),(98,1),(99,1),(113,1),(153,1),(161,1),(162,1),(177,1),(203,1),(214,1),(225,1),(227,1)}
       131:{1,4,6,7}:{(98,1),(100,1),(114,1),(163,1),(170,1)}
       132:{2,4,6,7}:{(99,1),(100,1),(154,1),(164,1),(172,1)}
       133:{3,5,6,7}:{(100,1),(163,1),(164,1),(165,1),(174,1)}
       134:{3,4,6}:{(101,1),(166,1),(167,1),(210,1)}
       135:{1,2,4,5}:{(101,1),(103,1),(106,1),(117,1),(157,1),(166,1),(176,1),(202,1)}
       136:{1,2,4,7}:{(101,1),(102,1),(104,1),(107,1),(167,1),(177,1),(203,1)}
       137:{1,2,3,6,7}:{(102,1),(105,1),(108,1),(169,1),(178,1),(180,1),(204,1),(206,1),(210,1)}
       138:{1,4,5,7}:{(103,1),(104,1),(109,1),(119,1),(170,1),(171,1)}
       139:{1,4,6,7}:{(104,1),(105,1),(110,1),(170,1),(171,1)}
       140:{2,4,5,7}:{(106,1),(107,1),(109,1),(159,1),(172,1),(173,1)}
       141:{2,4,6,7}:{(107,1),(108,1),(110,1),(172,1),(173,1)}
       142:{3,4,6}:{(109,1),(170,1),(172,1),(174,1),(210,1),(228,1)}
       143:{3,5,7}:{(110,1),(171,1),(173,1),(174,1),(175,1)}
       144:{4,6,7}:{(111,1),(175,1),(228,1)}
       145:{2,4,6}:{(112,1),(160,1),(176,1),(177,1)}
       146:{2,3,5,7}:{(112,1),(113,1),(116,1),(161,1),(177,1),(178,1),(214,1)}
       147:{1,2,6,7}:{(113,1),(114,1),(178,1),(180,1)}
       148:{2,3,5}:{(115,1),(117,1),(166,1),(176,1)}
       149:{2,3,4,7}:{(115,1),(116,1),(118,1),(167,1),(177,1),(179,1)}
       150:{1,2,5,7}:{(117,1),(118,1),(119,1),(179,1),(180,1)}
       151:{1,3,6}:{(119,1),(170,1),(180,1),(210,1)}
       152:{1,3,5,6}:{(120,1),(122,1),(129,1),(181,1),(182,1),(184,1),(217,1),(229,1)}
       153:{1,2,5,7}:{(120,1),(121,1),(123,1),(182,1),(183,1)}
       154:{2,3,6,7}:{(121,1),(132,1),(183,1),(187,1),(190,1)}
       155:{1,3,4,6}:{(122,1),(124,1),(125,1),(134,1),(181,1),(184,1),(185,1),(217,1)}
       156:{1,3,7}:{(122,1),(123,1)}
       157:{1,2,5}:{(125,1),(127,1),(184,1)}
       158:{1,2,4,7}:{(125,1),(126,1),(128,1),(185,1),(186,1)}
       159:{2,3,5,7}:{(127,1),(128,1),(140,1),(186,1),(187,1),(192,1)}
       160:{3,4,6}:{(129,1),(145,1),(181,1),(188,1),(189,1)}
       161:{3,5,7}:{(129,1),(130,1),(189,1),(190,1)}
       162:{1,2,4,6,7}:{(130,1),(131,1),(132,1),(147,1),(183,1),(190,1),(191,1),(194,1),(200,1),(216,1),(220,1)}
       163:{1,5,6,7}:{(131,1),(133,1),(196,1)}
       164:{2,5,6,7}:{(132,1),(133,1),(197,1)}
       165:{4,5,6,7}:{(133,1),(198,1),(220,1)}
       166:{3,5}:{(134,1),(135,1)}
       167:{3,4,7}:{(134,1),(136,1),(192,1)}
       168:{1,2,4,5,7}:{(135,1),(136,1),(138,1),(140,1),(150,1),(186,1),(192,1),(194,1),(195,1),(199,1),(215,1),(222,1)}
       169:{1,2,4,6,7}:{(136,1),(137,1),(139,1),(141,1),(193,1),(194,1),(195,1),(200,1),(216,1)}
       170:{1,4,6}:{(138,1),(142,1),(151,1),(196,1)}
       171:{1,5,7}:{(139,1),(143,1),(196,1)}
       172:{2,4,6}:{(140,1),(142,1),(187,1),(197,1)}
       173:{2,5,7}:{(141,1),(143,1),(197,1)}
       174:{3,5,6}:{(142,1),(143,1),(196,1),(197,1),(198,1)}
       175:{4,5,7}:{(143,1),(144,1),(198,1)}
       176:{2,4,5}:{(145,1),(148,1),(188,1)}
       177:{2,4,7}:{(145,1),(146,1),(189,1)}
       178:{2,3,6,7}:{(146,1),(147,1),(190,1),(200,1),(201,1)}
       179:{2,3,5,7}:{(148,1),(149,1),(150,1),(192,1),(199,1),(201,1)}
       180:{1,2,6}:{(150,1),(151,1),(201,1)}
       181:{1,4,6}:{(152,1),(160,1),(202,1),(203,1)}
       182:{1,3,5,7}:{(152,1),(153,1),(156,1),(161,1),(203,1),(204,1),(225,1)}
       183:{1,2,6,7}:{(153,1),(154,1),(204,1),(206,1)}
       184:{1,3,5}:{(155,1),(157,1),(166,1),(202,1)}
       185:{1,3,4,7}:{(155,1),(156,1),(158,1),(167,1),(203,1),(205,1)}
       186:{1,2,5,7}:{(157,1),(158,1),(159,1),(205,1),(206,1)}
       187:{2,3,6}:{(159,1),(172,1),(206,1),(210,1)}
       188:{3,4,5}:{(160,1),(166,1),(176,1),(202,1)}
       189:{3,4,7}:{(160,1),(161,1),(177,1),(203,1)}
       190:{3,6,7}:{(161,1),(162,1),(210,1)}
       191:{1,2,5,6,7}:{(162,1),(163,1),(164,1),(209,1),(212,1),(214,1),(225,1)}
       192:{3,5,7}:{(166,1),(167,1),(168,1),(210,1)}
       193:{3,4,6,7}:{(167,1),(169,1),(210,1),(211,1),(228,1)}
       194:{1,2,4,6}:{(168,1),(170,1),(172,1),(180,1),(206,1),(210,1),(212,1),(213,1),(224,1),(228,1)}
       195:{1,2,5,7}:{(169,1),(171,1),(173,1),(211,1),(212,1),(214,1),(225,1)}
       196:{1,5,6}:{(170,1),(171,1),(174,1)}
       197:{2,5,6}:{(172,1),(173,1),(174,1)}
       198:{4,5,6}:{(174,1),(175,1),(228,1)}
       199:{2,4,5,7}:{(176,1),(177,1),(179,1),(207,1),(213,1),(214,1)}
       200:{2,4,6,7}:{(177,1),(178,1),(208,1),(213,1),(214,1)}
       201:{2,3,6}:{(179,1),(180,1),(210,1),(213,1)}
       202:{1,4,5}:{(181,1),(184,1),(188,1)}
       203:{1,4,7}:{(181,1),(182,1),(189,1)}
       204:{1,3,6,7}:{(182,1),(183,1),(190,1),(216,1),(217,1)}
       205:{1,3,5,7}:{(184,1),(185,1),(186,1),(192,1),(215,1),(217,1)}
       206:{1,2,6}:{(186,1),(187,1),(217,1)}
       207:{3,4,5,7}:{(188,1),(189,1),(192,1),(199,1),(215,1),(218,1),(219,1),(222,1)}
       208:{3,4,6,7}:{(189,1),(190,1),(200,1),(216,1),(218,1),(219,1),(220,1)}
       209:{3,5,6,7}:{(190,1),(191,1),(219,1),(220,1),(221,1)}
       210:{3,6}:{(192,1),(194,1)}
       211:{3,5,7}:{(193,1),(195,1),(221,1),(222,1)}
       212:{1,2,5,6}:{(194,1),(195,1),(196,1),(197,1),(221,1),(223,1),(229,1)}
       213:{2,4,6}:{(199,1),(201,1),(218,1),(223,1)}
       214:{2,5,7}:{(200,1),(219,1),(223,1)}
       215:{1,4,5,7}:{(202,1),(203,1),(205,1),(207,1),(224,1),(225,1)}
       216:{1,4,6,7}:{(203,1),(204,1),(208,1),(224,1),(225,1)}
       217:{1,3,6}:{(205,1),(206,1),(210,1),(224,1)}
       218:{3,4,6}:{(207,1),(210,1),(213,1),(224,1),(226,1),(228,1)}
       219:{3,5,7}:{(208,1),(214,1),(225,1),(226,1),(227,1)}
       220:{4,6,7}:{(209,1),(227,1),(228,1)}
       221:{3,5,6}:{(210,1),(211,1),(212,1),(228,1)}
       222:{4,5,7}:{(211,1),(228,1)}
       223:{2,5,6}:{(213,1),(214,1),(226,1)}
       224:{1,4,6}:{(215,1),(217,1),(218,1),(229,1)}
       225:{1,5,7}:{(216,1),(219,1),(229,1)}
       226:{3,5,6}:{(218,1),(219,1),(223,1),(229,1),(230,1)}
       227:{4,5,7}:{(219,1),(220,1),(230,1)}
       228:{4,6}:{(221,1),(222,1)}
       229:{1,5,6}:{(224,1),(225,1),(226,1)}
       230:{4,5,6}:{(226,1),(227,1),(228,1)}

1453 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(20,1),(51,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(32,1),(66,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(46,1),(81,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(18,1),(23,1),(45,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(19,1),(23,1),(44,1),(83,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(61,1),(101,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(60,1),(100,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(30,1),(31,1),(103,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(43,1),(81,1),(154,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(21,1),(23,1),(39,1),(46,1)}
        13:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(23,1),(37,1),(46,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(23,1),(122,1)}
        15:{1,2,3,5,6,7}:{(8,1),(23,1),(24,1),(44,1),(45,1),(47,1),(50,1),(74,1),(82,1),(83,1),(84,1),(125,1),(157,1),(169,1),(171,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(27,1),(101,1),(162,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(28,1),(100,1),(158,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(27,1),(30,1),(32,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(28,1),(31,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(29,1),(30,1),(31,1),(32,1),(60,1),(61,1)}
        21:{1,2,4,6,7}:{(12,1),(30,1),(33,1),(54,1),(60,1)}
        22:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(52,1),(61,1)}
        23:{3,6,7}:{(14,1),(32,1),(142,1)}
        24:{1,2,4,6,7}:{(15,1),(35,1),(36,1),(60,1),(61,1),(94,1),(100,1),(101,1),(173,1),(174,1)}
        25:{2,3,4,5,7}:{(19,1),(37,1),(38,1),(46,1),(77,1),(79,1),(108,1),(121,1),(144,1)}
        26:{1,3,4,5,7}:{(18,1),(39,1),(40,1),(46,1),(77,1),(80,1),(113,1),(121,1),(149,1)}
        27:{1,3,5,6}:{(16,1),(18,1),(39,1),(41,1),(43,1),(149,1)}
        28:{2,3,5,6}:{(17,1),(19,1),(37,1),(42,1),(43,1),(144,1)}
        29:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(41,1),(42,1),(43,1),(75,1),(76,1),(117,1),(122,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(41,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(42,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(43,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(71,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(68,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(50,1),(81,1),(116,1),(157,1),(172,1)}
        36:{1,2,4,5,7}:{(24,1),(50,1),(51,1),(79,1),(80,1),(82,1),(117,1)}
        37:{2,3,4,6}:{(25,1),(28,1),(52,1),(58,1),(100,1),(142,1)}
        38:{1,2,4,5,7}:{(25,1),(31,1),(52,1),(53,1),(61,1),(88,1),(96,1),(127,1)}
        39:{1,3,4,6}:{(26,1),(27,1),(54,1),(58,1),(101,1),(142,1)}
        40:{1,2,4,5,7}:{(26,1),(30,1),(54,1),(55,1),(60,1),(92,1),(95,1),(133,1)}
        41:{1,2,5,6}:{(27,1),(30,1),(54,1),(56,1),(133,1)}
        42:{1,2,5,6}:{(28,1),(31,1),(52,1),(57,1),(127,1)}
        43:{3,5,6}:{(29,1),(32,1),(58,1),(138,1),(142,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(56,1),(60,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(57,1),(61,1)}
        46:{3,4,7}:{(32,1),(58,1),(60,1),(61,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(59,1),(63,1),(86,1),(90,1),(142,1),(161,1),(165,1)}
        48:{2,3,4,6,7}:{(33,1),(35,1),(60,1),(63,1),(64,1),(91,1),(98,1),(100,1),(126,1),(142,1),(161,1),(173,1)}
        49:{1,3,4,6,7}:{(34,1),(35,1),(61,1),(63,1),(65,1),(87,1),(98,1),(101,1),(132,1),(142,1),(165,1),(174,1)}
        50:{3,5,7}:{(35,1),(36,1),(66,1),(138,1)}
        51:{1,2,4,5,6}:{(36,1),(66,1),(100,1),(101,1),(103,1)}
        52:{1,2,4,6}:{(37,1),(38,1),(42,1),(68,1),(76,1)}
        53:{1,3,5,7}:{(38,1),(68,1),(70,1),(107,1),(121,1)}
        54:{1,2,4,6}:{(39,1),(40,1),(41,1),(71,1),(75,1)}
        55:{2,3,5,7}:{(40,1),(71,1),(73,1),(112,1),(121,1)}
        56:{2,3,5,6}:{(41,1),(43,1),(44,1),(71,1),(75,1),(112,1)}
        57:{1,3,5,6}:{(42,1),(43,1),(45,1),(68,1),(76,1),(107,1)}
        58:{3,4,6}:{(43,1),(46,1),(75,1),(76,1),(77,1)}
        59:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(74,1),(78,1),(82,1),(121,1),(169,1),(171,1)}
        60:{2,4,7}:{(44,1),(46,1),(75,1)}
        61:{1,4,7}:{(45,1),(46,1),(76,1)}
        62:{3,4,5,7}:{(46,1),(50,1),(77,1),(79,1),(80,1),(81,1),(121,1),(154,1),(172,1)}
        63:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(78,1),(82,1),(106,1),(111,1),(122,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(79,1),(82,1),(83,1),(112,1),(121,1),(144,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(80,1),(82,1),(84,1),(107,1),(121,1),(149,1)}
        66:{3,5,6}:{(50,1),(51,1),(81,1)}
        67:{1,2,4,5,6,7}:{(51,1),(85,1),(123,1),(124,1),(125,1),(156,1)}
        68:{1,3,6}:{(52,1),(53,1),(142,1)}
        69:{1,2,3,5,7}:{(53,1),(86,1),(88,1),(127,1),(129,1)}
        70:{1,3,4,7}:{(53,1),(61,1),(87,1),(88,1),(98,1)}
        71:{2,3,6}:{(54,1),(55,1),(142,1)}
        72:{1,2,3,5,7}:{(55,1),(90,1),(92,1),(133,1),(135,1)}
        73:{2,3,4,7}:{(55,1),(60,1),(91,1),(92,1),(98,1)}
        74:{1,2,3,5,6}:{(56,1),(57,1),(59,1),(86,1),(90,1),(94,1),(103,1),(127,1),(133,1),(138,1),(142,1),(159,1),(163,1)}
        75:{2,4,6}:{(56,1),(58,1),(60,1),(95,1)}
        76:{1,4,6}:{(57,1),(58,1),(61,1),(96,1)}
        77:{3,4,5}:{(58,1),(95,1),(96,1),(138,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(61,1),(94,1),(98,1),(173,1),(174,1)}
        79:{2,4,5,7}:{(60,1),(62,1),(64,1),(95,1),(100,1),(158,1),(173,1)}
        80:{1,4,5,7}:{(61,1),(62,1),(65,1),(96,1),(101,1),(162,1),(174,1)}
        81:{3,4,6}:{(62,1),(66,1),(100,1),(101,1),(142,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(65,1),(103,1),(127,1),(133,1)}
        83:{2,3,5,6}:{(64,1),(66,1),(100,1),(103,1),(142,1)}
        84:{1,3,5,6}:{(65,1),(66,1),(101,1),(103,1),(142,1)}
        85:{3,5,6,7}:{(66,1),(67,1),(102,1),(167,1)}
        86:{1,2,3,6}:{(68,1),(69,1),(106,1),(147,1)}
        87:{1,3,4,6}:{(68,1),(70,1),(76,1),(106,1),(107,1),(116,1)}
        88:{1,2,4,7}:{(69,1),(70,1),(106,1),(108,1)}
        89:{1,3,4,5,7}:{(70,1),(80,1),(107,1),(109,1),(110,1),(121,1),(146,1),(154,1),(172,1)}
        90:{1,2,3,6}:{(71,1),(72,1),(111,1),(152,1)}
        91:{2,3,4,6}:{(71,1),(73,1),(75,1),(111,1),(112,1),(116,1)}
        92:{1,2,4,7}:{(72,1),(73,1),(111,1),(113,1)}
        93:{2,3,4,5,7}:{(73,1),(79,1),(112,1),(114,1),(115,1),(121,1),(151,1),(154,1),(172,1)}
        94:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(116,1),(117,1),(168,1),(170,1)}
        95:{2,4,5}:{(75,1),(77,1),(112,1)}
        96:{1,4,5}:{(76,1),(77,1),(107,1)}
        97:{3,4,5,6}:{(77,1),(81,1),(118,1),(119,1),(120,1),(155,1)}
        98:{3,4,7}:{(78,1),(116,1),(121,1)}
        99:{1,2,4,5,7}:{(78,1),(79,1),(80,1),(82,1),(117,1),(121,1),(122,1)}
       100:{2,4,6}:{(79,1),(81,1),(83,1)}
       101:{1,4,6}:{(80,1),(81,1),(84,1)}
       102:{3,4,6,7}:{(81,1),(85,1),(120,1),(123,1),(124,1),(157,1),(172,1)}
       103:{1,2,5,6}:{(82,1),(83,1),(84,1),(122,1)}
       104:{2,3,5,6,7}:{(83,1),(85,1),(123,1),(125,1),(151,1),(157,1),(169,1)}
       105:{1,3,5,6,7}:{(84,1),(85,1),(124,1),(125,1),(146,1),(157,1),(171,1)}
       106:{1,2,4,6}:{(86,1),(87,1),(88,1),(126,1),(127,1)}
       107:{1,3,5}:{(87,1),(96,1),(127,1),(138,1)}
       108:{2,3,4,7}:{(88,1),(98,1),(126,1),(129,1),(173,1)}
       109:{1,2,4,5,7}:{(88,1),(89,1),(127,1),(129,1),(130,1),(158,1),(160,1),(173,1)}
       110:{1,3,4,6}:{(89,1),(101,1),(128,1),(130,1),(142,1),(166,1)}
       111:{1,2,4,6}:{(90,1),(91,1),(92,1),(132,1),(133,1)}
       112:{2,3,5}:{(91,1),(95,1),(133,1),(138,1)}
       113:{1,3,4,7}:{(92,1),(98,1),(132,1),(135,1),(174,1)}
       114:{1,2,4,5,7}:{(92,1),(93,1),(133,1),(135,1),(136,1),(162,1),(164,1),(174,1)}
       115:{2,3,4,6}:{(93,1),(100,1),(134,1),(136,1),(142,1),(166,1)}
       116:{3,4,6}:{(94,1),(98,1),(138,1),(142,1)}
       117:{1,2,4,5}:{(94,1),(95,1),(96,1),(127,1),(133,1),(138,1),(158,1),(162,1)}
       118:{2,4,5,6}:{(95,1),(97,1),(100,1),(134,1),(140,1)}
       119:{1,4,5,6}:{(96,1),(97,1),(101,1),(128,1),(141,1)}
       120:{3,4,5,7}:{(97,1),(102,1),(140,1),(141,1),(167,1)}
       121:{3,5,7}:{(98,1),(99,1),(138,1),(142,1)}
       122:{1,2,4,6}:{(99,1),(100,1),(101,1),(103,1),(142,1)}
       123:{2,4,6,7}:{(100,1),(102,1),(104,1),(140,1),(173,1)}
       124:{1,4,6,7}:{(101,1),(102,1),(105,1),(141,1),(174,1)}
       125:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(143,1),(160,1),(164,1)}
       126:{2,3,4,6}:{(106,1),(108,1),(116,1),(144,1),(147,1),(168,1)}
       127:{1,2,5}:{(106,1),(107,1),(144,1)}
       128:{1,3,5,6}:{(107,1),(110,1),(119,1),(145,1),(146,1),(155,1)}
       129:{2,3,5,7}:{(108,1),(109,1),(121,1),(144,1),(147,1)}
       130:{1,2,4,6}:{(109,1),(110,1),(145,1),(147,1),(168,1)}
       131:{1,3,4,6,7}:{(110,1),(124,1),(146,1),(148,1),(157,1),(172,1)}
       132:{1,3,4,6}:{(111,1),(113,1),(116,1),(149,1),(152,1),(170,1)}
       133:{1,2,5}:{(111,1),(112,1),(149,1)}
       134:{2,3,5,6}:{(112,1),(115,1),(118,1),(150,1),(151,1),(155,1)}
       135:{1,3,5,7}:{(113,1),(114,1),(121,1),(149,1),(152,1)}
       136:{1,2,4,6}:{(114,1),(115,1),(150,1),(152,1),(170,1)}
       137:{2,3,4,6,7}:{(115,1),(123,1),(151,1),(153,1),(157,1),(172,1)}
       138:{3,5}:{(116,1),(117,1)}
       139:{1,2,4,5,6}:{(117,1),(118,1),(119,1),(122,1),(145,1),(150,1),(155,1),(156,1),(168,1),(170,1)}
       140:{2,4,5,7}:{(118,1),(120,1),(123,1),(151,1)}
       141:{1,4,5,7}:{(119,1),(120,1),(124,1),(146,1)}
       142:{3,6}:{(121,1),(122,1)}
       143:{1,2,4,6,7}:{(122,1),(123,1),(124,1),(125,1),(156,1),(157,1)}
       144:{2,3,5}:{(126,1),(127,1),(138,1),(158,1)}
       145:{1,2,5,6}:{(127,1),(128,1),(130,1),(159,1),(160,1)}
       146:{1,3,5,7}:{(128,1),(131,1),(141,1),(160,1),(167,1)}
       147:{2,3,6}:{(129,1),(130,1),(142,1)}
       148:{1,2,4,6,7}:{(130,1),(131,1),(160,1),(161,1),(173,1)}
       149:{1,3,5}:{(132,1),(133,1),(138,1),(162,1)}
       150:{1,2,5,6}:{(133,1),(134,1),(136,1),(163,1),(164,1)}
       151:{2,3,5,7}:{(134,1),(137,1),(140,1),(164,1),(167,1)}
       152:{1,3,6}:{(135,1),(136,1),(142,1)}
       153:{1,2,4,6,7}:{(136,1),(137,1),(164,1),(165,1),(174,1)}
       154:{3,4,5}:{(138,1),(158,1),(162,1),(166,1)}
       155:{3,5,6}:{(138,1),(139,1),(142,1),(166,1),(167,1)}
       156:{1,2,4,5,7}:{(139,1),(140,1),(141,1),(143,1),(160,1),(164,1),(167,1),(173,1),(174,1)}
       157:{3,6,7}:{(142,1),(143,1),(167,1)}
       158:{2,4,5}:{(144,1),(154,1),(168,1)}
       159:{2,3,5,6}:{(144,1),(145,1),(147,1),(155,1),(168,1),(169,1)}
       160:{1,2,5,7}:{(145,1),(146,1),(148,1),(169,1)}
       161:{2,3,6,7}:{(147,1),(148,1),(157,1),(169,1)}
       162:{1,4,5}:{(149,1),(154,1),(170,1)}
       163:{1,3,5,6}:{(149,1),(150,1),(152,1),(155,1),(170,1),(171,1)}
       164:{1,2,5,7}:{(150,1),(151,1),(153,1),(171,1)}
       165:{1,3,6,7}:{(152,1),(153,1),(157,1),(171,1)}
       166:{3,4,6}:{(154,1),(155,1),(168,1),(170,1),(172,1)}
       167:{3,5,7}:{(155,1),(156,1),(157,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(166,1),(173,1)}
       169:{2,3,5,7}:{(159,1),(160,1),(161,1),(167,1),(173,1)}
       170:{1,4,6}:{(162,1),(163,1),(166,1),(174,1)}
       171:{1,3,5,7}:{(163,1),(164,1),(165,1),(167,1),(174,1)}
       172:{3,4,7}:{(166,1),(167,1),(173,1),(174,1)}
       173:{2,4,7}:{(168,1),(169,1),(172,1)}
       174:{1,4,7}:{(170,1),(171,1),(172,1)}

1454 :   0:{3,4,5,6,7}:{(1,1),(2,1),(10,1),(86,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(95,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(97,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(10,1),(82,1)}
         4:{2,3,5,6,7}:{(2,1),(7,1),(9,1),(10,1),(84,1)}
         5:{1,2,4,5,6,7}:{(1,1),(2,1),(8,1),(9,1),(10,1),(26,1),(27,1),(53,1)}
         6:{1,3,4,6,7}:{(3,1),(12,1),(14,1),(18,1)}
         7:{2,3,4,6,7}:{(4,1),(13,1),(15,1),(18,1)}
         8:{1,2,5,6,7}:{(3,1),(14,1),(16,1),(65,1)}
         9:{1,2,5,6,7}:{(4,1),(15,1),(17,1),(68,1)}
        10:{3,5,6,7}:{(5,1),(18,1),(70,1)}
        11:{1,3,4,5,6}:{(12,1),(19,1),(40,1),(72,1),(96,1)}
        12:{1,3,4,5,7}:{(6,1),(11,1),(21,1),(28,1),(76,1),(82,1)}
        13:{2,3,4,5,7}:{(7,1),(20,1),(22,1),(28,1),(79,1),(84,1)}
        14:{1,2,4,6,7}:{(6,1),(8,1),(21,1),(23,1),(26,1)}
        15:{1,2,4,6,7}:{(7,1),(9,1),(22,1),(24,1),(27,1)}
        16:{2,3,5,6,7}:{(8,1),(10,1),(23,1),(26,1),(49,1)}
        17:{1,3,5,6,7}:{(9,1),(10,1),(24,1),(27,1),(51,1)}
        18:{3,4,6,7}:{(10,1),(26,1),(27,1),(28,1)}
        19:{1,2,4,5,6}:{(11,1),(21,1),(29,1),(54,1),(56,1),(83,1)}
        20:{2,3,4,5,6}:{(13,1),(30,1),(40,1),(89,1),(98,1)}
        21:{1,2,4,5,7}:{(12,1),(14,1),(19,1),(31,1),(38,1),(60,1),(65,1)}
        22:{1,2,4,5,7}:{(13,1),(15,1),(30,1),(32,1),(39,1),(62,1),(68,1)}
        23:{2,3,6,7}:{(14,1),(31,1)}
        24:{1,3,6,7}:{(15,1),(32,1)}
        25:{1,2,3,5,6,7}:{(16,1),(17,1),(33,1),(35,1),(37,1),(65,1),(68,1),(70,1),(96,1),(98,1)}
        26:{2,4,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(17,1),(18,1),(39,1)}
        28:{3,4,5,7}:{(18,1),(38,1),(39,1),(40,1),(70,1)}
        29:{2,3,5,6}:{(19,1),(31,1),(42,1)}
        30:{1,2,4,5,6}:{(20,1),(22,1),(43,1),(55,1),(74,1),(85,1)}
        31:{2,3,5,7}:{(21,1),(23,1),(29,1),(45,1)}
        32:{1,3,5,7}:{(22,1),(24,1),(43,1),(47,1)}
        33:{1,2,3,6,7}:{(23,1),(44,1),(48,1),(101,1)}
        34:{2,3,4,6,7}:{(23,1),(26,1),(45,1),(48,1),(49,1),(52,1),(78,1)}
        35:{1,2,3,6,7}:{(24,1),(46,1),(50,1),(102,1)}
        36:{1,3,4,6,7}:{(24,1),(27,1),(47,1),(50,1),(51,1),(52,1),(81,1)}
        37:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(52,1),(53,1),(103,1),(104,1)}
        38:{2,4,5,7}:{(26,1),(28,1),(49,1),(54,1)}
        39:{1,4,5,7}:{(27,1),(28,1),(51,1),(55,1)}
        40:{3,4,5,6}:{(28,1),(54,1),(55,1),(87,1)}
        41:{1,2,3,5,6}:{(29,1),(44,1),(56,1),(83,1),(88,1),(101,1)}
        42:{2,3,4,6}:{(29,1),(45,1),(56,1),(57,1)}
        43:{1,3,5,6}:{(30,1),(32,1),(59,1)}
        44:{1,2,3,5,7}:{(31,1),(33,1),(41,1),(60,1),(65,1),(91,1)}
        45:{2,3,4,7}:{(31,1),(42,1),(60,1)}
        46:{1,2,3,5,7}:{(32,1),(35,1),(58,1),(62,1),(68,1),(93,1)}
        47:{1,3,4,7}:{(32,1),(59,1),(62,1)}
        48:{1,2,4,6,7}:{(33,1),(34,1),(60,1),(64,1),(65,1),(92,1)}
        49:{2,3,5,7}:{(34,1),(38,1),(65,1),(66,1),(70,1)}
        50:{1,2,4,6,7}:{(35,1),(36,1),(62,1),(67,1),(68,1),(94,1)}
        51:{1,3,5,7}:{(36,1),(39,1),(68,1),(69,1),(70,1)}
        52:{3,4,6,7}:{(37,1),(70,1),(99,1)}
        53:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(65,1),(68,1),(70,1),(71,1),(95,1),(97,1)}
        54:{2,4,5,6}:{(38,1),(40,1),(66,1)}
        55:{1,4,5,6}:{(39,1),(40,1),(69,1)}
        56:{1,2,4,6}:{(41,1),(42,1),(60,1),(72,1),(73,1)}
        57:{2,3,4,5}:{(42,1),(73,1)}
        58:{1,2,3,5,6}:{(43,1),(46,1),(74,1),(85,1),(100,1),(102,1)}
        59:{1,3,4,6}:{(43,1),(47,1),(74,1),(75,1)}
        60:{1,2,4,7}:{(44,1),(45,1),(56,1),(76,1)}
        61:{2,3,4,5,7}:{(45,1),(49,1),(57,1),(77,1),(78,1),(86,1)}
        62:{1,2,4,7}:{(46,1),(47,1),(74,1),(79,1)}
        63:{1,3,4,5,7}:{(47,1),(51,1),(75,1),(80,1),(81,1),(86,1)}
        64:{1,3,4,6,7}:{(48,1),(52,1),(76,1),(82,1),(101,1),(103,1)}
        65:{1,2,5,7}:{(48,1),(49,1),(82,1),(83,1)}
        66:{2,3,5,6}:{(49,1),(54,1),(78,1),(83,1),(87,1)}
        67:{2,3,4,6,7}:{(50,1),(52,1),(79,1),(84,1),(102,1),(104,1)}
        68:{1,2,5,7}:{(50,1),(51,1),(84,1),(85,1)}
        69:{1,3,5,6}:{(51,1),(55,1),(81,1),(85,1),(87,1)}
        70:{3,5,7}:{(52,1),(53,1),(87,1)}
        71:{1,2,4,5,6}:{(53,1),(54,1),(55,1),(83,1),(85,1),(87,1),(103,1),(104,1)}
        72:{1,3,4,6}:{(56,1),(76,1),(88,1),(101,1)}
        73:{1,2,4,5}:{(56,1),(57,1),(88,1)}
        74:{1,2,4,6}:{(58,1),(59,1),(62,1),(89,1),(90,1)}
        75:{1,3,4,5}:{(59,1),(90,1)}
        76:{1,3,4,7}:{(60,1),(72,1),(91,1)}
        77:{1,2,4,5,7}:{(60,1),(61,1),(65,1),(73,1),(91,1),(92,1),(95,1)}
        78:{2,3,4,6}:{(61,1),(66,1),(92,1),(99,1)}
        79:{2,3,4,7}:{(62,1),(89,1),(93,1)}
        80:{1,2,4,5,7}:{(62,1),(63,1),(68,1),(90,1),(93,1),(94,1),(97,1)}
        81:{1,3,4,6}:{(63,1),(69,1),(94,1),(99,1)}
        82:{1,3,5,7}:{(64,1),(65,1),(70,1),(95,1),(96,1)}
        83:{1,2,5,6}:{(65,1),(66,1),(92,1),(96,1)}
        84:{2,3,5,7}:{(67,1),(68,1),(70,1),(97,1),(98,1)}
        85:{1,2,5,6}:{(68,1),(69,1),(94,1),(98,1)}
        86:{3,4,5,7}:{(70,1),(95,1),(97,1),(99,1)}
        87:{3,5,6}:{(70,1),(71,1),(99,1)}
        88:{1,3,5}:{(72,1),(73,1)}
        89:{2,3,4,6}:{(74,1),(79,1),(100,1),(102,1)}
        90:{1,2,4,5}:{(74,1),(75,1),(100,1)}
        91:{1,3,5,7}:{(76,1),(77,1),(88,1),(101,1)}
        92:{1,2,4,6}:{(77,1),(78,1),(83,1),(101,1),(103,1)}
        93:{2,3,5,7}:{(79,1),(80,1),(100,1),(102,1)}
        94:{1,2,4,6}:{(80,1),(81,1),(85,1),(102,1),(104,1)}
        95:{1,4,5,7}:{(82,1),(86,1),(103,1)}
        96:{1,3,5,6}:{(82,1),(83,1),(87,1),(101,1),(103,1)}
        97:{2,4,5,7}:{(84,1),(86,1),(104,1)}
        98:{2,3,5,6}:{(84,1),(85,1),(87,1),(102,1),(104,1)}
        99:{3,4,6}:{(86,1),(87,1),(103,1),(104,1)}
       100:{2,3,5}:{(89,1),(90,1)}
       101:{1,3,6}:{(91,1),(92,1)}
       102:{2,3,6}:{(93,1),(94,1)}
       103:{1,4,6}:{(95,1),(96,1),(99,1)}
       104:{2,4,6}:{(97,1),(98,1),(99,1)}

1455 :   0:{2,4,5,6,7}:{(1,1),(9,1),(195,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(202,1)}
         2:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(32,1),(193,1)}
         3:{1,5,6,7}:{(1,1),(8,1),(206,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(28,1),(32,1),(163,1)}
         5:{3,4,5,6}:{(7,1),(11,1),(12,1),(37,1),(168,1),(193,1)}
         6:{2,3,4,5,7}:{(13,1),(14,1),(28,1),(62,1),(72,1),(75,1),(107,1),(122,1),(158,1),(162,1)}
         7:{3,4,5,7}:{(2,1),(5,1),(15,1),(16,1),(45,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(200,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(181,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(19,1),(20,1),(44,1),(86,1),(138,1)}
        11:{1,4,5,6}:{(5,1),(15,1),(21,1),(183,1),(200,1)}
        12:{2,4,5,6}:{(5,1),(16,1),(22,1),(148,1),(181,1)}
        13:{2,3,4,6}:{(6,1),(22,1),(24,1),(53,1),(134,1),(179,1),(181,1)}
        14:{1,2,4,5,7}:{(6,1),(24,1),(25,1),(44,1),(56,1),(83,1),(94,1),(97,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(11,1),(27,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(12,1),(28,1)}
        17:{1,3,6,7}:{(8,1),(27,1),(30,1),(32,1),(191,1)}
        18:{2,3,4,6,7}:{(9,1),(13,1),(28,1),(31,1),(32,1),(62,1),(64,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(29,1),(30,1),(32,1),(33,1),(64,1),(159,1)}
        20:{1,3,5,6,7}:{(10,1),(32,1),(33,1),(61,1),(66,1),(113,1)}
        21:{1,3,5,6}:{(11,1),(27,1),(34,1),(35,1),(37,1),(165,1),(191,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(28,1),(36,1),(37,1),(112,1),(122,1)}
        23:{1,2,4,5,6}:{(11,1),(12,1),(29,1),(35,1),(36,1),(37,1),(67,1),(70,1),(71,1),(112,1),(118,1),(159,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(36,1),(38,1),(71,1)}
        25:{1,3,5,7}:{(14,1),(38,1),(40,1),(74,1),(158,1)}
        26:{1,3,4,5}:{(34,1),(41,1),(72,1),(127,1),(165,1)}
        27:{1,3,5,7}:{(15,1),(17,1),(21,1),(42,1),(43,1),(45,1)}
        28:{2,3,5,7}:{(16,1),(18,1),(22,1),(44,1),(45,1),(86,1)}
        29:{1,2,4,5,7}:{(15,1),(16,1),(19,1),(23,1),(43,1),(44,1),(45,1),(49,1),(82,1),(83,1),(86,1)}
        30:{1,2,6,7}:{(17,1),(43,1),(46,1),(176,1)}
        31:{1,2,4,6,7}:{(18,1),(24,1),(44,1),(47,1),(83,1)}
        32:{3,6,7}:{(19,1),(45,1),(179,1)}
        33:{1,4,6,7}:{(20,1),(48,1),(49,1),(83,1),(135,1)}
        34:{1,3,4,6}:{(21,1),(26,1),(42,1),(50,1),(53,1)}
        35:{1,2,5,6}:{(21,1),(43,1),(50,1),(51,1),(142,1),(176,1)}
        36:{1,2,5,6}:{(22,1),(24,1),(44,1),(52,1),(97,1)}
        37:{3,5,6}:{(23,1),(45,1),(53,1),(144,1),(179,1)}
        38:{1,3,6}:{(24,1),(25,1),(179,1)}
        39:{1,2,3,5,7}:{(25,1),(54,1),(56,1),(97,1),(99,1)}
        40:{1,3,4,7}:{(25,1),(55,1),(56,1),(83,1),(132,1)}
        41:{1,2,4,5}:{(26,1),(50,1),(58,1),(93,1),(102,1),(142,1)}
        42:{1,3,4,7}:{(27,1),(34,1),(59,1),(62,1)}
        43:{1,2,5,7}:{(27,1),(30,1),(35,1),(59,1),(60,1)}
        44:{1,2,5,7}:{(28,1),(31,1),(36,1),(61,1)}
        45:{3,5,7}:{(29,1),(32,1),(37,1),(62,1)}
        46:{2,3,6,7}:{(30,1),(32,1),(60,1),(64,1),(157,1)}
        47:{1,3,6,7}:{(31,1),(32,1),(38,1),(61,1)}
        48:{3,4,6,7}:{(32,1),(33,1),(62,1),(64,1),(66,1),(109,1)}
        49:{1,4,5,7}:{(33,1),(66,1),(67,1)}
        50:{1,2,4,6}:{(34,1),(35,1),(41,1),(59,1),(68,1),(70,1)}
        51:{2,3,5,6}:{(35,1),(37,1),(60,1),(68,1),(70,1),(112,1),(116,1),(157,1)}
        52:{1,3,5,6}:{(36,1),(37,1),(38,1),(61,1),(71,1),(74,1)}
        53:{3,4,6}:{(37,1),(62,1),(70,1),(71,1),(72,1)}
        54:{1,2,3,6}:{(38,1),(39,1),(73,1),(125,1)}
        55:{1,3,4,6}:{(38,1),(40,1),(71,1),(73,1),(74,1),(117,1)}
        56:{1,2,4,7}:{(39,1),(40,1),(73,1),(75,1)}
        57:{1,3,4,5,7}:{(40,1),(74,1),(76,1),(77,1),(108,1),(124,1),(158,1),(168,1),(190,1),(199,1)}
        58:{2,3,5}:{(41,1),(68,1),(79,1)}
        59:{1,2,4,7}:{(42,1),(43,1),(50,1),(80,1),(82,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(46,1),(51,1),(80,1),(82,1),(86,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(47,1),(52,1),(83,1)}
        62:{3,4,7}:{(45,1),(53,1),(82,1),(83,1)}
        63:{1,2,3,6,7}:{(46,1),(47,1),(54,1),(81,1),(85,1),(151,1),(176,1),(179,1),(201,1)}
        64:{2,4,6,7}:{(46,1),(48,1),(82,1),(86,1),(134,1)}
        65:{1,3,4,6,7}:{(47,1),(48,1),(55,1),(83,1),(85,1),(87,1),(132,1),(135,1),(179,1)}
        66:{3,5,7}:{(48,1),(49,1),(86,1),(88,1)}
        67:{1,4,5,6}:{(49,1),(88,1),(135,1)}
        68:{2,3,6}:{(50,1),(58,1),(80,1)}
        69:{1,2,3,5,6}:{(51,1),(52,1),(54,1),(81,1),(90,1),(92,1),(97,1),(138,1),(142,1),(144,1),(149,1),(176,1),(179,1),(184,1)}
        70:{2,4,6}:{(51,1),(53,1),(82,1),(93,1)}
        71:{1,4,6}:{(52,1),(53,1),(83,1),(94,1)}
        72:{3,4,5}:{(53,1),(93,1),(94,1),(144,1)}
        73:{1,2,4,6}:{(54,1),(55,1),(56,1),(96,1),(97,1)}
        74:{1,3,5}:{(55,1),(94,1),(97,1),(144,1)}
        75:{2,3,4,7}:{(56,1),(96,1),(99,1),(132,1),(188,1)}
        76:{1,2,4,5,7}:{(56,1),(57,1),(97,1),(99,1),(100,1),(148,1),(150,1),(188,1)}
        77:{1,3,4,6}:{(57,1),(98,1),(100,1),(135,1),(179,1),(186,1),(200,1)}
        78:{1,2,3,5}:{(58,1),(90,1),(102,1),(142,1),(152,1)}
        79:{2,3,4}:{(58,1),(102,1)}
        80:{2,3,7}:{(59,1),(68,1)}
        81:{1,2,3,5,7}:{(60,1),(61,1),(63,1),(69,1),(104,1),(106,1),(111,1),(156,1),(158,1),(172,1),(198,1)}
        82:{2,4,7}:{(60,1),(62,1),(70,1)}
        83:{1,4,7}:{(61,1),(62,1),(71,1)}
        84:{3,4,5,7}:{(62,1),(66,1),(72,1),(107,1),(108,1),(109,1),(158,1)}
        85:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(73,1),(106,1),(110,1),(111,1),(159,1),(207,1)}
        86:{2,5,7}:{(64,1),(66,1),(112,1)}
        87:{1,3,5,7}:{(65,1),(66,1),(74,1),(108,1),(111,1),(113,1),(158,1)}
        88:{3,5,6}:{(66,1),(67,1),(109,1),(112,1)}
        89:{1,4,5,6,7}:{(67,1),(114,1),(161,1)}
        90:{1,2,3,6}:{(68,1),(78,1),(104,1),(115,1),(173,1)}
        91:{2,3,4,6}:{(68,1),(70,1),(79,1),(105,1),(115,1),(116,1),(117,1),(157,1)}
        92:{1,2,4,6}:{(69,1),(70,1),(71,1),(106,1),(117,1),(118,1),(171,1),(197,1)}
        93:{2,4,5}:{(70,1),(72,1),(116,1)}
        94:{1,4,5}:{(71,1),(72,1),(74,1)}
        95:{3,4,5,6}:{(72,1),(109,1),(119,1),(120,1),(121,1),(169,1)}
        96:{2,3,4,6}:{(73,1),(75,1),(117,1),(122,1),(125,1),(171,1)}
        97:{1,2,5}:{(73,1),(74,1),(122,1)}
        98:{1,3,5,6}:{(74,1),(77,1),(120,1),(123,1),(124,1),(169,1),(206,1)}
        99:{2,3,5,7}:{(75,1),(76,1),(122,1),(125,1),(158,1)}
       100:{1,2,4,6}:{(76,1),(77,1),(123,1),(125,1),(171,1)}
       101:{1,3,4,6,7}:{(77,1),(124,1),(126,1),(161,1),(194,1),(199,1),(207,1)}
       102:{1,2,4}:{(78,1),(79,1),(127,1)}
       103:{2,3,4,5}:{(79,1),(116,1),(128,1),(129,1),(168,1)}
       104:{1,2,3,7}:{(80,1),(90,1),(130,1),(189,1)}
       105:{2,3,4,7}:{(80,1),(82,1),(91,1),(130,1),(131,1),(132,1)}
       106:{1,2,4,7}:{(81,1),(82,1),(83,1),(92,1),(132,1),(188,1),(205,1)}
       107:{2,4,5,7}:{(82,1),(84,1),(86,1),(93,1),(131,1),(134,1)}
       108:{1,4,5,7}:{(83,1),(84,1),(87,1),(94,1),(135,1)}
       109:{3,4,6}:{(84,1),(88,1),(134,1),(135,1),(179,1)}
       110:{2,3,4,6,7}:{(85,1),(96,1),(132,1),(137,1),(151,1),(179,1),(181,1),(188,1),(203,1)}
       111:{1,2,5,7}:{(85,1),(86,1),(87,1),(97,1),(137,1),(138,1),(209,1)}
       112:{2,5,6}:{(86,1),(88,1),(134,1)}
       113:{1,3,5,6}:{(87,1),(88,1),(135,1),(138,1),(179,1)}
       114:{3,5,6,7}:{(88,1),(89,1),(136,1),(139,1)}
       115:{1,2,4,6}:{(90,1),(91,1),(102,1),(130,1),(141,1),(142,1),(176,1)}
       116:{2,3,5}:{(91,1),(93,1),(142,1),(144,1)}
       117:{3,4,6}:{(92,1),(132,1),(144,1),(179,1)}
       118:{1,2,4,5}:{(92,1),(93,1),(94,1),(97,1),(142,1),(144,1),(148,1),(183,1)}
       119:{2,4,5,6}:{(93,1),(95,1),(134,1),(143,1),(146,1)}
       120:{1,4,5,6}:{(94,1),(95,1),(98,1),(135,1),(147,1)}
       121:{3,4,5,7}:{(95,1),(136,1),(146,1),(147,1),(187,1)}
       122:{2,3,5}:{(96,1),(97,1),(144,1),(148,1)}
       123:{1,2,5,6}:{(97,1),(98,1),(100,1),(149,1),(150,1)}
       124:{1,3,5,7}:{(98,1),(101,1),(147,1),(150,1),(187,1),(209,1)}
       125:{2,3,6}:{(99,1),(100,1),(179,1)}
       126:{1,2,4,6,7}:{(100,1),(101,1),(150,1),(151,1),(188,1)}
       127:{1,3,4}:{(102,1),(152,1)}
       128:{1,2,4,5}:{(102,1),(103,1),(142,1),(152,1),(153,1),(183,1)}
       129:{2,3,4,6}:{(103,1),(143,1),(153,1),(154,1),(186,1)}
       130:{1,2,4,7}:{(104,1),(105,1),(115,1),(155,1),(156,1)}
       131:{2,3,5,7}:{(105,1),(107,1),(116,1),(156,1),(157,1),(158,1)}
       132:{3,4,7}:{(106,1),(117,1),(158,1)}
       133:{1,2,4,5,7}:{(106,1),(107,1),(108,1),(111,1),(118,1),(156,1),(158,1),(159,1),(162,1),(190,1)}
       134:{2,4,6}:{(107,1),(109,1),(112,1),(157,1)}
       135:{1,4,6}:{(108,1),(109,1),(113,1)}
       136:{3,4,6,7}:{(109,1),(114,1),(121,1),(160,1),(161,1),(194,1)}
       137:{2,3,5,7}:{(110,1),(111,1),(122,1),(158,1),(162,1),(163,1),(208,1)}
       138:{1,2,5,6}:{(111,1),(112,1),(113,1),(159,1),(163,1),(206,1)}
       139:{2,5,6,7}:{(112,1),(114,1),(160,1)}
       140:{1,3,5,6,7}:{(113,1),(114,1),(124,1),(161,1),(164,1),(194,1)}
       141:{1,3,4,6}:{(115,1),(117,1),(127,1),(155,1),(165,1),(173,1),(191,1),(197,1)}
       142:{1,2,5}:{(115,1),(116,1),(165,1)}
       143:{2,3,5,6}:{(116,1),(119,1),(129,1),(157,1),(166,1),(167,1),(169,1)}
       144:{3,5}:{(117,1),(118,1)}
       145:{1,2,4,5,6}:{(118,1),(119,1),(120,1),(123,1),(159,1),(166,1),(169,1),(170,1),(171,1),(195,1),(197,1),(206,1)}
       146:{2,4,5,7}:{(119,1),(121,1),(160,1),(167,1)}
       147:{1,4,5,7}:{(120,1),(121,1),(124,1),(161,1)}
       148:{2,4,5}:{(122,1),(168,1),(171,1)}
       149:{2,3,5,6}:{(122,1),(123,1),(125,1),(169,1),(171,1),(172,1)}
       150:{1,2,5,7}:{(123,1),(124,1),(126,1),(172,1)}
       151:{2,3,6,7}:{(125,1),(126,1),(172,1),(194,1)}
       152:{1,3,5}:{(127,1),(128,1),(173,1)}
       153:{1,2,4,6}:{(128,1),(129,1),(166,1),(173,1),(174,1),(197,1)}
       154:{2,3,4,7}:{(129,1),(167,1),(174,1),(199,1)}
       155:{1,3,4,7}:{(130,1),(132,1),(141,1),(175,1),(189,1),(205,1)}
       156:{1,2,5,7}:{(130,1),(131,1),(142,1),(175,1),(176,1)}
       157:{2,3,6}:{(131,1),(134,1),(176,1),(179,1)}
       158:{3,5,7}:{(132,1),(133,1),(144,1),(179,1)}
       159:{1,2,4,6}:{(133,1),(134,1),(135,1),(138,1),(176,1),(179,1),(181,1),(200,1)}
       160:{2,4,6,7}:{(134,1),(136,1),(139,1),(146,1),(177,1)}
       161:{1,4,6,7}:{(135,1),(136,1),(140,1),(147,1)}
       162:{2,4,5,7}:{(137,1),(148,1),(178,1),(181,1),(188,1)}
       163:{2,3,5,6}:{(137,1),(138,1),(179,1),(181,1),(202,1)}
       164:{1,2,5,6,7}:{(138,1),(139,1),(140,1),(150,1),(180,1),(182,1),(209,1)}
       165:{1,3,5}:{(141,1),(142,1),(144,1),(183,1)}
       166:{1,2,5,6}:{(142,1),(143,1),(153,1),(176,1),(184,1),(185,1)}
       167:{2,3,5,7}:{(143,1),(146,1),(154,1),(177,1),(185,1),(187,1)}
       168:{3,4,5}:{(144,1),(148,1),(183,1),(186,1)}
       169:{3,5,6}:{(144,1),(145,1),(179,1),(186,1),(187,1)}
       170:{1,2,4,5,7}:{(145,1),(146,1),(147,1),(150,1),(180,1),(185,1),(187,1),(188,1),(204,1),(205,1),(209,1)}
       171:{2,4,6}:{(148,1),(149,1),(186,1),(188,1)}
       172:{2,3,5,7}:{(149,1),(150,1),(151,1),(187,1),(188,1)}
       173:{1,3,6}:{(152,1),(153,1),(189,1)}
       174:{1,2,4,7}:{(153,1),(154,1),(185,1),(189,1),(205,1)}
       175:{1,3,5,7}:{(155,1),(156,1),(158,1),(165,1),(190,1),(191,1)}
       176:{1,2,6}:{(156,1),(157,1),(191,1)}
       177:{2,3,6,7}:{(157,1),(160,1),(167,1),(192,1),(194,1)}
       178:{3,4,5,7}:{(158,1),(162,1),(168,1),(190,1),(193,1),(199,1),(208,1)}
       179:{3,6}:{(158,1),(159,1)}
       180:{1,2,4,6,7}:{(159,1),(160,1),(161,1),(164,1),(170,1),(192,1),(194,1),(196,1),(207,1)}
       181:{2,4,6}:{(162,1),(163,1),(193,1)}
       182:{2,3,5,6,7}:{(163,1),(164,1),(172,1),(194,1),(196,1),(208,1)}
       183:{1,4,5}:{(165,1),(168,1),(197,1)}
       184:{1,3,5,6}:{(165,1),(166,1),(169,1),(173,1),(191,1),(197,1),(198,1),(206,1)}
       185:{1,2,5,7}:{(166,1),(167,1),(174,1),(192,1),(198,1)}
       186:{3,4,6}:{(168,1),(169,1),(171,1),(197,1),(199,1)}
       187:{3,5,7}:{(169,1),(170,1),(194,1),(199,1)}
       188:{2,4,7}:{(171,1),(172,1),(199,1)}
       189:{1,3,7}:{(173,1),(174,1)}
       190:{1,4,5,7}:{(175,1),(178,1),(183,1),(200,1),(205,1),(209,1)}
       191:{1,3,6}:{(175,1),(176,1),(179,1),(200,1)}
       192:{1,2,6,7}:{(176,1),(177,1),(185,1),(201,1)}
       193:{3,4,6}:{(178,1),(179,1),(181,1),(200,1),(202,1)}
       194:{3,6,7}:{(179,1),(180,1),(187,1)}
       195:{2,4,5,6}:{(181,1),(202,1),(204,1)}
       196:{2,4,6,7}:{(181,1),(182,1),(188,1),(203,1),(204,1)}
       197:{1,4,6}:{(183,1),(184,1),(186,1),(205,1)}
       198:{1,3,5,7}:{(184,1),(185,1),(187,1),(189,1),(201,1),(205,1),(209,1)}
       199:{3,4,7}:{(186,1),(187,1),(188,1),(205,1)}
       200:{1,4,6}:{(190,1),(191,1),(193,1),(206,1)}
       201:{1,3,6,7}:{(191,1),(192,1),(194,1),(198,1),(207,1)}
       202:{3,5,6}:{(193,1),(195,1),(206,1),(208,1)}
       203:{3,4,6,7}:{(193,1),(194,1),(196,1),(199,1),(207,1),(208,1)}
       204:{2,4,5,7}:{(195,1),(196,1),(208,1)}
       205:{1,4,7}:{(197,1),(198,1),(199,1)}
       206:{1,5,6}:{(200,1),(202,1),(209,1)}
       207:{1,4,6,7}:{(200,1),(201,1),(203,1),(205,1),(209,1)}
       208:{3,5,7}:{(202,1),(203,1),(204,1),(209,1)}
       209:{1,5,7}:{(206,1),(207,1),(208,1)}

1456 :   0:{2,3,4,5,7}:{(1,1),(2,1),(8,1),(34,1),(72,1),(76,1),(83,1),(119,1),(122,1),(127,1)}
         1:{1,2,4,5,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(50,1),(56,1),(60,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(61,1),(145,1),(148,1),(153,1)}
         3:{2,3,4,6,7}:{(2,1),(7,1),(8,1),(27,1),(65,1),(72,1),(116,1)}
         4:{1,3,5,7}:{(1,1),(10,1),(11,1),(39,1),(122,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(40,1)}
         6:{2,3,5,6}:{(2,1),(8,1),(12,1),(13,1),(41,1),(76,1),(167,1)}
         7:{1,2,4,6,7}:{(3,1),(5,1),(16,1),(17,1),(50,1)}
         8:{2,3,5,7}:{(3,1),(6,1),(17,1),(18,1),(51,1),(143,1)}
         9:{1,2,3,5,7}:{(4,1),(19,1),(20,1),(53,1),(56,1)}
        10:{1,3,4,7}:{(4,1),(19,1),(22,1),(50,1),(94,1)}
        11:{1,3,6}:{(4,1),(5,1),(148,1)}
        12:{1,2,5,6}:{(5,1),(6,1),(17,1),(23,1),(56,1)}
        13:{2,4,5,6}:{(6,1),(18,1),(25,1),(103,1),(145,1)}
        14:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(28,1),(65,1),(118,1)}
        15:{2,4,5,6,7}:{(27,1),(28,1),(168,1)}
        16:{1,3,6,7}:{(7,1),(11,1),(31,1),(65,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(12,1),(31,1)}
        18:{2,4,5,7}:{(8,1),(13,1),(27,1),(33,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(34,1),(36,1)}
        20:{1,2,3,6}:{(9,1),(11,1),(36,1),(75,1)}
        21:{1,3,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(71,1),(81,1),(122,1),(131,1),(171,1),(178,1)}
        22:{1,3,4,6}:{(10,1),(11,1),(36,1),(39,1),(40,1),(80,1)}
        23:{1,3,5,6}:{(11,1),(12,1),(31,1),(39,1),(40,1),(41,1)}
        24:{1,2,4,5,6}:{(12,1),(13,1),(32,1),(40,1),(41,1),(42,1),(79,1),(85,1),(86,1),(114,1),(121,1),(167,1)}
        25:{3,4,5,6}:{(13,1),(33,1),(41,1),(42,1),(131,1),(170,1)}
        26:{1,2,5,6,7}:{(14,1),(17,1),(43,1),(44,1),(46,1),(92,1),(143,1)}
        27:{2,4,6,7}:{(14,1),(18,1),(45,1),(145,1)}
        28:{3,5,6,7}:{(15,1),(45,1),(46,1),(189,1)}
        29:{1,2,3,6,7}:{(16,1),(20,1),(47,1),(48,1),(90,1),(101,1),(148,1),(192,1),(194,1)}
        30:{1,3,4,6,7}:{(16,1),(22,1),(47,1),(49,1),(50,1),(88,1),(94,1),(96,1),(148,1)}
        31:{1,3,5,7}:{(16,1),(17,1),(23,1),(50,1),(51,1)}
        32:{1,2,4,5,7}:{(17,1),(18,1),(24,1),(44,1),(50,1),(51,1),(52,1),(87,1),(99,1),(100,1),(143,1)}
        33:{3,4,5,7}:{(18,1),(25,1),(45,1),(51,1),(52,1)}
        34:{2,3,4,7}:{(19,1),(53,1),(54,1),(94,1),(155,1)}
        35:{1,2,4,5,7}:{(19,1),(21,1),(53,1),(55,1),(56,1),(103,1),(104,1),(155,1)}
        36:{1,2,4,6}:{(19,1),(20,1),(22,1),(54,1),(56,1)}
        37:{1,2,3,5,6}:{(20,1),(23,1),(48,1),(56,1),(57,1),(63,1),(92,1),(102,1),(106,1),(148,1),(160,1),(162,1),(163,1),(194,1)}
        38:{1,3,4,6}:{(21,1),(55,1),(59,1),(96,1),(148,1),(156,1),(191,1)}
        39:{1,3,5}:{(22,1),(56,1),(60,1),(106,1)}
        40:{1,4,6}:{(23,1),(50,1),(60,1),(61,1)}
        41:{3,5,6}:{(24,1),(51,1),(61,1),(106,1),(148,1)}
        42:{1,4,5,6}:{(25,1),(52,1),(62,1),(157,1),(191,1)}
        43:{1,3,5,6,7}:{(26,1),(31,1),(64,1),(65,1),(70,1),(115,1)}
        44:{1,2,4,6,7}:{(26,1),(27,1),(32,1),(64,1),(65,1),(66,1),(116,1),(117,1),(121,1)}
        45:{3,4,6,7}:{(27,1),(28,1),(33,1),(65,1),(66,1),(170,1)}
        46:{1,5,6,7}:{(28,1),(66,1),(202,1)}
        47:{1,2,4,6,7}:{(29,1),(30,1),(36,1),(67,1),(68,1),(69,1),(116,1),(121,1),(203,1)}
        48:{1,2,3,5,7}:{(29,1),(31,1),(37,1),(68,1),(69,1),(74,1),(122,1),(129,1),(175,1),(176,1),(182,1)}
        49:{1,3,5,7}:{(30,1),(39,1),(68,1),(70,1),(71,1),(115,1),(122,1)}
        50:{1,4,7}:{(31,1),(40,1),(72,1)}
        51:{3,5,7}:{(32,1),(41,1),(65,1),(72,1)}
        52:{1,4,5,7}:{(33,1),(42,1),(66,1),(73,1)}
        53:{2,3,5,7}:{(34,1),(35,1),(75,1),(76,1),(122,1)}
        54:{2,3,4,6}:{(34,1),(36,1),(75,1),(76,1),(80,1),(130,1)}
        55:{1,2,4,6}:{(35,1),(38,1),(75,1),(78,1),(130,1)}
        56:{1,2,5}:{(36,1),(39,1),(76,1)}
        57:{1,2,4,6}:{(37,1),(40,1),(69,1),(79,1),(80,1),(85,1),(130,1),(179,1)}
        58:{1,3,4,6,7}:{(38,1),(77,1),(81,1),(125,1),(172,1),(178,1),(203,1)}
        59:{1,3,5,6}:{(38,1),(39,1),(78,1),(81,1),(82,1),(133,1),(202,1)}
        60:{1,4,5}:{(39,1),(40,1),(83,1)}
        61:{3,4,6}:{(40,1),(41,1),(72,1),(83,1),(85,1)}
        62:{1,3,5,6}:{(41,1),(42,1),(73,1),(84,1),(86,1),(134,1),(173,1)}
        63:{2,3,5,6}:{(41,1),(74,1),(85,1),(86,1),(135,1),(140,1),(167,1),(174,1)}
        64:{1,4,6,7}:{(43,1),(50,1),(87,1),(88,1),(96,1)}
        65:{3,6,7}:{(44,1),(51,1),(148,1)}
        66:{1,4,6,7}:{(45,1),(46,1),(52,1),(89,1),(191,1)}
        67:{2,3,4,6,7}:{(47,1),(54,1),(91,1),(94,1),(101,1),(145,1),(148,1),(155,1),(190,1)}
        68:{1,2,5,7}:{(47,1),(49,1),(56,1),(91,1),(92,1),(143,1),(208,1)}
        69:{1,2,4,7}:{(48,1),(50,1),(57,1),(94,1),(99,1),(155,1),(195,1)}
        70:{1,3,5,6}:{(49,1),(92,1),(96,1),(142,1),(148,1)}
        71:{1,4,5,7}:{(49,1),(50,1),(60,1),(96,1),(97,1)}
        72:{3,4,7}:{(50,1),(51,1),(61,1),(99,1)}
        73:{1,3,5,7}:{(51,1),(52,1),(62,1),(89,1),(98,1),(100,1)}
        74:{2,3,5,7}:{(51,1),(63,1),(90,1),(99,1),(100,1),(143,1),(154,1)}
        75:{2,3,6}:{(53,1),(55,1),(148,1)}
        76:{2,3,5}:{(54,1),(56,1),(103,1),(106,1)}
        77:{1,2,4,6,7}:{(55,1),(58,1),(101,1),(104,1),(155,1)}
        78:{1,2,5,6}:{(55,1),(56,1),(59,1),(102,1),(104,1)}
        79:{1,2,4,5}:{(56,1),(57,1),(60,1),(103,1),(106,1),(112,1),(157,1),(162,1)}
        80:{3,4,6}:{(57,1),(94,1),(106,1),(148,1)}
        81:{1,3,5,7}:{(58,1),(59,1),(104,1),(109,1),(159,1),(208,1)}
        82:{1,4,5,6}:{(59,1),(60,1),(96,1),(109,1),(110,1)}
        83:{3,4,5}:{(60,1),(61,1),(106,1),(112,1)}
        84:{1,3,4,6}:{(61,1),(62,1),(98,1),(111,1),(113,1)}
        85:{2,4,6}:{(61,1),(63,1),(99,1),(112,1)}
        86:{1,2,5,6}:{(62,1),(63,1),(100,1),(113,1),(162,1),(194,1)}
        87:{1,4,5,7}:{(64,1),(114,1),(115,1)}
        88:{3,4,6,7}:{(64,1),(65,1),(72,1),(115,1),(116,1),(126,1)}
        89:{1,3,6,7}:{(65,1),(66,1),(73,1),(117,1),(173,1)}
        90:{2,3,6,7}:{(65,1),(74,1),(116,1),(117,1),(174,1)}
        91:{2,3,5,7}:{(67,1),(68,1),(76,1),(118,1),(119,1),(122,1),(201,1)}
        92:{1,2,5,6}:{(68,1),(70,1),(118,1),(121,1),(167,1),(202,1)}
        93:{1,2,4,5,7}:{(68,1),(69,1),(71,1),(79,1),(119,1),(121,1),(122,1),(127,1),(171,1),(175,1)}
        94:{3,4,7}:{(69,1),(80,1),(122,1)}
        95:{1,3,5,6,7}:{(70,1),(81,1),(120,1),(125,1),(166,1),(172,1)}
        96:{1,4,6}:{(70,1),(71,1),(126,1)}
        97:{3,4,5,7}:{(71,1),(72,1),(83,1),(115,1),(122,1),(126,1),(127,1)}
        98:{1,3,4,7}:{(72,1),(73,1),(84,1),(128,1)}
        99:{2,4,7}:{(72,1),(74,1),(85,1)}
       100:{1,2,5,7}:{(73,1),(74,1),(86,1),(117,1),(128,1)}
       101:{2,3,6,7}:{(75,1),(77,1),(129,1),(172,1)}
       102:{2,3,5,6}:{(75,1),(76,1),(78,1),(129,1),(130,1),(133,1)}
       103:{2,4,5}:{(76,1),(130,1),(131,1)}
       104:{1,2,5,7}:{(77,1),(78,1),(81,1),(129,1)}
       105:{1,2,4,5,6}:{(78,1),(79,1),(82,1),(121,1),(130,1),(132,1),(133,1),(138,1),(168,1),(179,1),(184,1),(202,1)}
       106:{3,5}:{(79,1),(80,1)}
       107:{1,3,4,6}:{(80,1),(123,1),(134,1),(136,1),(173,1),(179,1),(206,1),(207,1)}
       108:{2,3,4,6}:{(80,1),(85,1),(124,1),(135,1),(136,1),(140,1),(174,1),(186,1)}
       109:{1,4,5,7}:{(81,1),(82,1),(125,1),(137,1)}
       110:{3,4,5,6}:{(82,1),(83,1),(126,1),(133,1),(137,1),(138,1)}
       111:{1,3,4,5}:{(83,1),(84,1),(134,1),(139,1),(207,1)}
       112:{2,4,5}:{(83,1),(85,1),(135,1)}
       113:{1,2,4,6}:{(84,1),(85,1),(86,1),(128,1),(139,1),(140,1)}
       114:{1,4,5,6}:{(87,1),(96,1),(142,1)}
       115:{3,5,7}:{(87,1),(88,1),(142,1),(143,1)}
       116:{2,4,6,7}:{(88,1),(90,1),(99,1),(143,1),(153,1)}
       117:{1,2,6,7}:{(89,1),(90,1),(100,1),(194,1)}
       118:{2,3,5,6}:{(91,1),(92,1),(145,1),(148,1),(189,1)}
       119:{2,4,5,7}:{(91,1),(103,1),(145,1),(146,1),(155,1)}
       120:{1,2,5,6,7}:{(92,1),(95,1),(104,1),(144,1),(147,1),(187,1),(208,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(96,1),(145,1),(148,1),(153,1),(191,1),(194,1)}
       122:{3,5,7}:{(93,1),(94,1),(106,1),(148,1)}
       123:{1,3,4,7}:{(94,1),(107,1),(149,1),(151,1),(195,1),(209,1)}
       124:{2,3,4,7}:{(94,1),(99,1),(108,1),(150,1),(151,1),(154,1)}
       125:{1,4,6,7}:{(95,1),(96,1),(109,1),(152,1)}
       126:{3,4,6}:{(96,1),(97,1),(142,1),(148,1),(153,1)}
       127:{2,4,5,7}:{(97,1),(99,1),(112,1),(143,1),(150,1),(153,1)}
       128:{1,2,4,7}:{(98,1),(99,1),(100,1),(113,1),(154,1)}
       129:{2,3,5,7}:{(101,1),(102,1),(104,1),(155,1),(159,1)}
       130:{2,4,6}:{(102,1),(103,1),(155,1),(156,1)}
       131:{3,4,5}:{(103,1),(106,1),(156,1),(157,1)}
       132:{1,2,4,5,7}:{(104,1),(105,1),(109,1),(147,1),(155,1),(159,1),(164,1),(188,1),(195,1),(199,1),(208,1)}
       133:{3,5,6}:{(105,1),(106,1),(148,1),(156,1),(159,1)}
       134:{1,3,5}:{(106,1),(107,1),(157,1),(162,1)}
       135:{2,3,5}:{(106,1),(108,1),(112,1),(162,1)}
       136:{1,2,4,6}:{(107,1),(108,1),(151,1),(162,1),(163,1),(194,1),(200,1)}
       137:{3,4,5,7}:{(109,1),(110,1),(152,1),(159,1),(164,1)}
       138:{2,4,5,6}:{(110,1),(112,1),(153,1),(161,1),(164,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(113,1),(162,1),(165,1),(200,1)}
       140:{2,3,6}:{(113,1),(154,1),(165,1)}
       141:{1,4,5,6,7}:{(114,1),(125,1),(166,1)}
       142:{3,5,6}:{(114,1),(115,1),(126,1),(167,1)}
       143:{2,5,7}:{(115,1),(116,1),(167,1)}
       144:{2,3,5,6,7}:{(118,1),(120,1),(129,1),(169,1),(172,1),(201,1)}
       145:{2,4,6}:{(118,1),(119,1),(170,1)}
       146:{3,4,5,7}:{(119,1),(122,1),(131,1),(170,1),(171,1),(178,1),(201,1)}
       147:{1,2,4,6,7}:{(120,1),(121,1),(125,1),(132,1),(169,1),(172,1),(177,1),(203,1),(204,1)}
       148:{3,6}:{(121,1),(122,1)}
       149:{1,3,5,7}:{(122,1),(123,1),(134,1),(171,1),(173,1),(175,1)}
       150:{2,3,5,7}:{(122,1),(124,1),(127,1),(135,1),(174,1),(175,1)}
       151:{1,2,4,7}:{(123,1),(124,1),(136,1),(175,1),(176,1)}
       152:{3,4,6,7}:{(125,1),(126,1),(137,1),(166,1),(172,1),(177,1)}
       153:{2,4,6}:{(126,1),(127,1),(167,1),(174,1)}
       154:{2,3,7}:{(128,1),(140,1)}
       155:{2,4,7}:{(129,1),(130,1),(178,1)}
       156:{3,4,6}:{(130,1),(131,1),(133,1),(178,1),(179,1)}
       157:{1,4,5}:{(131,1),(134,1),(179,1)}
       158:{2,3,4,5}:{(131,1),(135,1),(180,1),(181,1),(186,1)}
       159:{3,5,7}:{(132,1),(133,1),(172,1),(178,1)}
       160:{1,3,5,6}:{(133,1),(134,1),(173,1),(179,1),(182,1),(184,1),(202,1),(206,1)}
       161:{2,3,5,6}:{(133,1),(135,1),(138,1),(174,1),(180,1),(183,1),(184,1)}
       162:{1,2,5}:{(134,1),(135,1),(136,1)}
       163:{1,2,3,6}:{(136,1),(140,1),(176,1),(185,1),(206,1)}
       164:{2,4,5,7}:{(137,1),(138,1),(177,1),(183,1)}
       165:{2,3,5}:{(139,1),(140,1),(186,1)}
       166:{3,5,6,7}:{(141,1),(142,1),(152,1),(187,1)}
       167:{2,5,6}:{(142,1),(143,1),(153,1)}
       168:{2,4,5,6}:{(145,1),(188,1),(189,1)}
       169:{2,4,6,7}:{(144,1),(145,1),(155,1),(188,1),(190,1)}
       170:{3,4,6}:{(145,1),(146,1),(148,1),(189,1),(191,1)}
       171:{1,4,5,7}:{(146,1),(149,1),(157,1),(191,1),(195,1),(208,1)}
       172:{3,6,7}:{(147,1),(148,1),(159,1)}
       173:{1,3,6}:{(148,1),(149,1),(191,1),(194,1)}
       174:{2,3,6}:{(148,1),(150,1),(153,1),(194,1)}
       175:{1,2,5,7}:{(149,1),(150,1),(151,1),(162,1),(194,1)}
       176:{1,2,3,7}:{(151,1),(154,1),(163,1),(209,1)}
       177:{2,4,6,7}:{(152,1),(153,1),(164,1),(187,1),(193,1)}
       178:{3,4,7}:{(155,1),(156,1),(159,1),(195,1)}
       179:{1,4,6}:{(156,1),(157,1),(160,1),(195,1)}
       180:{2,3,4,6}:{(156,1),(158,1),(161,1),(196,1),(197,1)}
       181:{1,2,4,5}:{(157,1),(158,1),(162,1),(197,1),(198,1),(200,1)}
       182:{1,3,5,7}:{(159,1),(160,1),(192,1),(195,1),(199,1),(208,1),(209,1)}
       183:{2,3,5,7}:{(159,1),(161,1),(164,1),(193,1),(196,1),(199,1)}
       184:{1,2,5,6}:{(160,1),(161,1),(162,1),(194,1),(197,1),(199,1)}
       185:{1,2,3,5}:{(162,1),(163,1),(165,1),(198,1),(200,1)}
       186:{2,3,4}:{(165,1),(200,1)}
       187:{2,5,6,7}:{(166,1),(167,1),(177,1)}
       188:{2,4,5,7}:{(168,1),(169,1),(201,1)}
       189:{3,5,6}:{(168,1),(170,1),(201,1),(202,1)}
       190:{3,4,6,7}:{(169,1),(170,1),(172,1),(178,1),(201,1),(203,1)}
       191:{1,4,6}:{(170,1),(171,1),(173,1),(202,1)}
       192:{1,3,6,7}:{(172,1),(173,1),(182,1),(203,1),(204,1)}
       193:{2,3,6,7}:{(172,1),(174,1),(177,1),(183,1),(204,1)}
       194:{1,2,6}:{(173,1),(174,1),(175,1)}
       195:{1,4,7}:{(178,1),(179,1),(182,1)}
       196:{2,3,4,7}:{(178,1),(180,1),(183,1),(205,1)}
       197:{1,2,4,6}:{(179,1),(180,1),(181,1),(184,1),(205,1),(206,1)}
       198:{1,3,5}:{(181,1),(206,1),(207,1)}
       199:{1,2,5,7}:{(182,1),(183,1),(184,1),(204,1),(205,1)}
       200:{1,2,4}:{(185,1),(186,1),(207,1)}
       201:{3,5,7}:{(188,1),(189,1),(190,1),(208,1)}
       202:{1,5,6}:{(189,1),(191,1),(208,1)}
       203:{1,4,6,7}:{(190,1),(191,1),(192,1),(195,1),(208,1)}
       204:{1,2,6,7}:{(192,1),(193,1),(194,1),(199,1)}
       205:{1,2,4,7}:{(195,1),(196,1),(197,1),(199,1),(209,1)}
       206:{1,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,3,4}:{(198,1),(200,1)}
       208:{1,5,7}:{(201,1),(202,1),(203,1)}
       209:{1,3,7}:{(205,1),(206,1)}

1457 :   0:{1,2,3,6,7}:{(2,1),(3,1),(36,1),(44,1),(80,1),(81,1),(82,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(4,1),(13,1),(17,1),(37,1),(44,1),(49,1),(81,1),(99,1),(104,1)}
         2:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(23,1),(26,1),(54,1),(61,1),(93,1),(94,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(7,1),(8,1),(27,1),(56,1),(67,1),(86,1),(95,1),(103,1)}
         4:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(26,1),(57,1),(66,1)}
         5:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(34,1),(38,1),(44,1),(71,1),(82,1),(100,1),(104,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(15,1),(36,1),(39,1),(44,1),(76,1),(77,1),(78,1),(80,1)}
         7:{1,2,4,7}:{(2,1),(12,1),(13,1),(72,1),(99,1),(100,1)}
         8:{1,2,5,7}:{(3,1),(4,1),(11,1),(15,1),(76,1),(83,1),(96,1)}
         9:{2,4,5,7}:{(4,1),(16,1),(17,1),(73,1),(99,1)}
        10:{2,3,5,6}:{(4,1),(15,1),(17,1),(44,1),(46,1)}
        11:{1,3,5,7}:{(5,1),(8,1),(19,1),(20,1),(26,1),(58,1),(85,1)}
        12:{1,2,4,6}:{(6,1),(7,1),(21,1),(22,1),(89,1),(90,1)}
        13:{3,4,7}:{(7,1),(21,1),(26,1),(87,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(19,1),(22,1),(26,1),(27,1),(30,1),(51,1),(61,1),(88,1),(103,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(20,1),(27,1),(65,1),(84,1)}
        16:{3,4,5,7}:{(9,1),(26,1),(30,1),(31,1),(55,1),(66,1),(91,1)}
        17:{2,4,6}:{(9,1),(10,1),(31,1)}
        18:{2,3,5,6,7}:{(10,1),(28,1),(32,1),(64,1),(66,1),(93,1)}
        19:{1,4,5,7}:{(11,1),(33,1),(34,1),(74,1),(100,1)}
        20:{1,3,5,6}:{(11,1),(15,1),(34,1),(44,1),(68,1)}
        21:{3,4,6}:{(12,1),(13,1),(39,1),(44,1)}
        22:{1,2,4,5}:{(12,1),(39,1),(73,1),(74,1),(76,1)}
        23:{1,2,3,7}:{(36,1),(41,1),(104,1)}
        24:{2,3,4,7}:{(13,1),(37,1),(41,1),(42,1),(99,1),(104,1)}
        25:{1,3,4,7}:{(13,1),(38,1),(41,1),(43,1),(100,1),(104,1)}
        26:{3,5,7}:{(13,1),(14,1),(39,1),(44,1),(97,1),(104,1)}
        27:{1,2,4,6}:{(14,1),(15,1),(17,1),(34,1),(44,1),(48,1),(70,1),(80,1)}
        28:{1,2,5,6,7}:{(15,1),(18,1),(35,1),(45,1),(83,1),(96,1),(101,1)}
        29:{2,4,5,6}:{(17,1),(46,1),(47,1)}
        30:{1,4,5,7}:{(16,1),(43,1),(48,1),(74,1),(83,1),(100,1)}
        31:{3,4,6}:{(16,1),(17,1),(44,1),(46,1),(48,1)}
        32:{2,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(99,1)}
        33:{3,4,5,7}:{(19,1),(26,1),(51,1),(52,1),(55,1),(85,1),(91,1)}
        34:{1,4,6}:{(19,1),(20,1),(52,1)}
        35:{1,3,5,6,7}:{(20,1),(28,1),(53,1),(64,1),(85,1),(94,1)}
        36:{1,2,3,6}:{(23,1),(54,1),(56,1),(102,1)}
        37:{2,3,4,6}:{(21,1),(24,1),(56,1),(57,1),(62,1),(87,1),(89,1),(102,1)}
        38:{1,3,4,6}:{(21,1),(25,1),(56,1),(58,1),(63,1),(87,1),(90,1),(102,1)}
        39:{3,5}:{(21,1),(22,1)}
        40:{1,2,4,5,6}:{(22,1),(27,1),(29,1),(50,1),(59,1),(60,1),(65,1),(84,1),(89,1),(90,1),(92,1)}
        41:{1,2,4,7}:{(23,1),(24,1),(25,1),(56,1),(61,1)}
        42:{2,3,5,7}:{(24,1),(26,1),(51,1),(57,1),(61,1),(62,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(30,1),(58,1),(61,1),(63,1)}
        44:{3,6}:{(26,1),(27,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(32,1),(53,1),(60,1),(64,1),(67,1),(86,1),(95,1),(103,1)}
        46:{3,5,6}:{(29,1),(31,1),(65,1),(66,1)}
        47:{2,4,5,7}:{(29,1),(32,1),(66,1)}
        48:{1,4,6}:{(30,1),(31,1),(63,1),(65,1)}
        49:{3,4,6,7}:{(31,1),(32,1),(64,1),(66,1),(67,1),(91,1)}
        50:{1,4,5,6}:{(34,1),(68,1),(69,1)}
        51:{2,4,5,7}:{(33,1),(42,1),(70,1),(73,1),(96,1),(99,1)}
        52:{3,4,6}:{(33,1),(34,1),(44,1),(68,1),(70,1)}
        53:{1,4,6,7}:{(34,1),(35,1),(69,1),(71,1),(100,1)}
        54:{1,2,3,5}:{(36,1),(72,1),(76,1),(97,1)}
        55:{3,4,5}:{(39,1),(73,1),(74,1),(75,1),(97,1)}
        56:{1,2,4,6}:{(36,1),(37,1),(38,1),(41,1),(72,1),(76,1),(80,1)}
        57:{2,3,5}:{(37,1),(39,1),(73,1),(76,1),(97,1)}
        58:{1,3,5}:{(38,1),(39,1),(74,1),(76,1),(97,1)}
        59:{3,5,6}:{(39,1),(40,1),(44,1),(75,1),(79,1)}
        60:{1,2,4,5,7}:{(40,1),(45,1),(47,1),(69,1),(79,1),(83,1),(96,1),(99,1),(100,1),(101,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(43,1),(76,1),(80,1)}
        62:{2,3,6}:{(42,1),(44,1),(70,1),(80,1)}
        63:{1,3,6}:{(43,1),(44,1),(48,1),(80,1)}
        64:{3,6,7}:{(44,1),(45,1),(79,1),(104,1)}
        65:{1,5,6}:{(46,1),(48,1),(83,1)}
        66:{3,5,7}:{(46,1),(47,1),(49,1),(83,1)}
        67:{1,4,6,7}:{(48,1),(49,1),(82,1),(83,1),(100,1)}
        68:{3,5,6}:{(50,1),(52,1),(84,1),(85,1)}
        69:{1,4,5,7}:{(50,1),(53,1),(85,1)}
        70:{2,4,6}:{(51,1),(52,1),(62,1),(84,1)}
        71:{3,4,6,7}:{(52,1),(53,1),(64,1),(85,1),(86,1),(91,1)}
        72:{1,2,4}:{(54,1),(87,1)}
        73:{2,4,5}:{(55,1),(57,1),(89,1)}
        74:{1,4,5}:{(55,1),(58,1),(90,1)}
        75:{3,4,6}:{(55,1),(59,1),(89,1),(90,1),(91,1),(102,1)}
        76:{1,2,5}:{(56,1),(57,1),(58,1)}
        77:{2,3,5,6}:{(57,1),(59,1),(62,1),(84,1),(89,1),(92,1),(93,1),(102,1)}
        78:{1,3,5,6}:{(58,1),(59,1),(63,1),(65,1),(90,1),(92,1),(94,1),(102,1)}
        79:{3,5,7}:{(59,1),(60,1),(64,1),(91,1)}
        80:{1,2,6}:{(61,1),(62,1),(63,1)}
        81:{2,3,6,7}:{(62,1),(64,1),(86,1),(93,1),(95,1)}
        82:{1,3,6,7}:{(63,1),(64,1),(67,1),(94,1),(95,1)}
        83:{1,5,7}:{(65,1),(66,1),(67,1)}
        84:{2,5,6}:{(68,1),(70,1),(96,1)}
        85:{3,5,7}:{(68,1),(69,1),(71,1),(96,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(81,1),(96,1),(99,1)}
        87:{3,4}:{(72,1),(97,1)}
        88:{1,2,4,5}:{(72,1),(73,1),(74,1),(76,1),(97,1),(98,1)}
        89:{2,4,6}:{(73,1),(75,1),(77,1),(99,1)}
        90:{1,4,6}:{(74,1),(75,1),(78,1),(100,1)}
        91:{3,4,7}:{(75,1),(79,1),(99,1),(100,1),(104,1)}
        92:{1,2,5,6}:{(76,1),(77,1),(78,1),(80,1),(98,1),(101,1)}
        93:{2,3,5,7}:{(77,1),(79,1),(81,1),(96,1),(99,1),(101,1),(104,1)}
        94:{1,3,5,7}:{(78,1),(79,1),(82,1),(83,1),(100,1),(101,1),(104,1)}
        95:{1,2,6,7}:{(80,1),(81,1),(82,1),(101,1)}
        96:{2,5,7}:{(84,1),(85,1),(86,1)}
        97:{3,5}:{(87,1),(88,1),(102,1)}
        98:{1,2,4,6}:{(88,1),(89,1),(90,1),(92,1),(102,1),(103,1)}
        99:{2,4,7}:{(89,1),(91,1),(93,1)}
       100:{1,4,7}:{(90,1),(91,1),(94,1)}
       101:{1,2,5,7}:{(92,1),(93,1),(94,1),(95,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1458 :   0:{1,2,3,6,7}:{(2,1),(3,1),(42,1),(73,1),(79,1),(80,1),(81,1),(104,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(35,1),(42,1),(46,1),(80,1),(95,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(8,1),(25,1),(53,1),(65,1),(92,1),(93,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(26,1),(63,1),(64,1),(86,1),(87,1),(89,1)}
         4:{2,3,5,7}:{(1,1),(7,1),(9,1),(10,1),(26,1),(52,1),(54,1)}
         5:{1,2,3,5,6}:{(3,1),(11,1),(13,1),(33,1),(42,1),(70,1),(71,1),(72,1),(73,1),(81,1)}
         6:{1,3,4,6,7}:{(2,1),(12,1),(15,1),(34,1),(39,1),(42,1),(77,1),(79,1),(94,1),(104,1)}
         7:{1,2,5,7}:{(2,1),(4,1),(12,1),(13,1),(72,1),(74,1),(100,1)}
         8:{1,2,4,7}:{(3,1),(11,1),(15,1),(94,1),(95,1),(99,1)}
         9:{2,3,5,6}:{(4,1),(13,1),(17,1),(37,1),(42,1)}
        10:{2,4,5,7}:{(4,1),(17,1),(18,1),(68,1),(95,1)}
        11:{1,2,4,6}:{(5,1),(8,1),(19,1),(20,1),(83,1),(84,1)}
        12:{1,3,5,7}:{(6,1),(7,1),(22,1),(23,1),(26,1),(51,1),(90,1)}
        13:{1,2,5,6}:{(7,1),(9,1),(22,1),(25,1),(55,1),(91,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(10,1),(19,1),(23,1),(25,1),(26,1),(31,1),(59,1),(63,1),(85,1),(101,1)}
        15:{3,4,7}:{(8,1),(20,1),(26,1),(103,1)}
        16:{2,3,5,6,7}:{(9,1),(24,1),(29,1),(54,1),(60,1),(87,1)}
        17:{2,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(26,1),(30,1),(31,1),(48,1),(54,1),(82,1)}
        19:{1,2,4,5}:{(11,1),(33,1),(67,1),(68,1),(72,1)}
        20:{3,4,6}:{(11,1),(15,1),(33,1),(42,1)}
        21:{2,4,5,6}:{(17,1),(36,1),(37,1)}
        22:{1,3,5,6}:{(12,1),(13,1),(39,1),(42,1),(76,1)}
        23:{1,4,5,7}:{(12,1),(39,1),(40,1),(67,1),(94,1)}
        24:{1,2,5,6,7}:{(13,1),(16,1),(38,1),(41,1),(74,1),(98,1),(100,1)}
        25:{1,2,4,6}:{(13,1),(14,1),(17,1),(39,1),(42,1),(47,1),(78,1),(81,1)}
        26:{3,5,7}:{(14,1),(15,1),(33,1),(42,1),(97,1),(104,1)}
        27:{1,3,4,7}:{(15,1),(34,1),(43,1),(45,1),(94,1),(104,1)}
        28:{2,3,4,7}:{(15,1),(35,1),(44,1),(45,1),(95,1),(104,1)}
        29:{2,4,6,7}:{(16,1),(17,1),(36,1),(46,1),(95,1)}
        30:{3,4,6}:{(17,1),(18,1),(37,1),(42,1),(47,1)}
        31:{1,4,5,7}:{(18,1),(43,1),(47,1),(67,1),(74,1),(94,1)}
        32:{1,2,4,5,6}:{(19,1),(21,1),(25,1),(49,1),(50,1),(55,1),(56,1),(83,1),(84,1),(88,1),(91,1)}
        33:{3,5}:{(19,1),(20,1)}
        34:{1,3,4,6}:{(20,1),(27,1),(51,1),(53,1),(61,1),(83,1),(102,1),(103,1)}
        35:{2,3,4,6}:{(20,1),(28,1),(52,1),(53,1),(62,1),(84,1),(102,1),(103,1)}
        36:{2,4,5,7}:{(21,1),(29,1),(54,1)}
        37:{3,5,6}:{(21,1),(30,1),(54,1),(55,1)}
        38:{1,3,5,6,7}:{(22,1),(24,1),(57,1),(60,1),(86,1),(90,1)}
        39:{1,4,6}:{(22,1),(23,1),(58,1)}
        40:{3,4,5,7}:{(23,1),(26,1),(48,1),(58,1),(59,1),(82,1),(90,1)}
        41:{1,2,4,6,7}:{(24,1),(25,1),(29,1),(49,1),(57,1),(60,1),(65,1),(92,1),(93,1),(101,1)}
        42:{3,6}:{(25,1),(26,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(31,1),(51,1),(61,1),(63,1)}
        44:{2,3,5,7}:{(26,1),(28,1),(52,1),(59,1),(62,1),(63,1)}
        45:{1,2,4,7}:{(27,1),(28,1),(53,1),(63,1),(64,1)}
        46:{3,4,6,7}:{(29,1),(30,1),(54,1),(60,1),(65,1),(82,1)}
        47:{1,4,6}:{(30,1),(31,1),(55,1),(61,1)}
        48:{3,4,5}:{(33,1),(66,1),(67,1),(68,1),(97,1)}
        49:{1,2,4,5,7}:{(32,1),(36,1),(41,1),(69,1),(74,1),(75,1),(94,1),(95,1),(98,1),(100,1)}
        50:{3,5,6}:{(32,1),(33,1),(42,1),(66,1),(69,1)}
        51:{1,3,5}:{(33,1),(34,1),(67,1),(72,1),(97,1)}
        52:{2,3,5}:{(33,1),(35,1),(68,1),(72,1),(97,1)}
        53:{1,2,4,6}:{(34,1),(35,1),(45,1),(72,1),(73,1),(81,1),(99,1)}
        54:{3,5,7}:{(36,1),(37,1),(46,1),(74,1)}
        55:{1,5,6}:{(37,1),(47,1),(74,1)}
        56:{1,4,5,6}:{(39,1),(75,1),(76,1)}
        57:{1,4,6,7}:{(38,1),(39,1),(75,1),(77,1),(94,1)}
        58:{3,4,6}:{(39,1),(40,1),(42,1),(76,1),(78,1)}
        59:{2,4,5,7}:{(40,1),(44,1),(68,1),(78,1),(95,1),(100,1)}
        60:{3,6,7}:{(41,1),(42,1),(69,1),(104,1)}
        61:{1,3,6}:{(42,1),(43,1),(47,1),(81,1)}
        62:{2,3,6}:{(42,1),(44,1),(78,1),(81,1)}
        63:{1,2,5,7}:{(43,1),(44,1),(45,1),(72,1),(81,1)}
        64:{1,2,3,7}:{(45,1),(73,1),(104,1)}
        65:{1,4,6,7}:{(46,1),(47,1),(74,1),(79,1),(94,1)}
        66:{3,4,6}:{(48,1),(50,1),(82,1),(83,1),(84,1),(102,1)}
        67:{1,4,5}:{(48,1),(51,1),(83,1)}
        68:{2,4,5}:{(48,1),(52,1),(84,1)}
        69:{3,5,7}:{(49,1),(50,1),(60,1),(82,1)}
        70:{1,3,5,6}:{(50,1),(51,1),(55,1),(61,1),(83,1),(86,1),(88,1),(102,1)}
        71:{2,3,5,6}:{(50,1),(52,1),(62,1),(84,1),(87,1),(88,1),(91,1),(102,1)}
        72:{1,2,5}:{(51,1),(52,1),(53,1)}
        73:{1,2,3,6}:{(53,1),(64,1),(89,1),(102,1)}
        74:{1,5,7}:{(54,1),(55,1),(65,1)}
        75:{1,4,5,7}:{(56,1),(57,1),(90,1)}
        76:{3,5,6}:{(56,1),(58,1),(90,1),(91,1)}
        77:{3,4,6,7}:{(57,1),(58,1),(60,1),(82,1),(90,1),(92,1)}
        78:{2,4,6}:{(58,1),(59,1),(62,1),(91,1)}
        79:{1,3,6,7}:{(60,1),(61,1),(65,1),(86,1),(93,1)}
        80:{2,3,6,7}:{(60,1),(62,1),(87,1),(92,1),(93,1)}
        81:{1,2,6}:{(61,1),(62,1),(63,1)}
        82:{3,4,7}:{(66,1),(69,1),(94,1),(95,1),(104,1)}
        83:{1,4,6}:{(66,1),(67,1),(70,1),(94,1)}
        84:{2,4,6}:{(66,1),(68,1),(71,1),(95,1)}
        85:{1,2,4,5}:{(67,1),(68,1),(72,1),(96,1),(97,1),(99,1)}
        86:{1,3,5,7}:{(69,1),(70,1),(74,1),(79,1),(94,1),(98,1),(104,1)}
        87:{2,3,5,7}:{(69,1),(71,1),(80,1),(95,1),(98,1),(100,1),(104,1)}
        88:{1,2,5,6}:{(70,1),(71,1),(72,1),(81,1),(96,1),(98,1)}
        89:{1,2,3,5}:{(72,1),(73,1),(97,1),(99,1)}
        90:{3,5,7}:{(75,1),(76,1),(77,1),(100,1)}
        91:{2,5,6}:{(76,1),(78,1),(100,1)}
        92:{2,4,6,7}:{(77,1),(78,1),(80,1),(95,1),(100,1)}
        93:{1,2,6,7}:{(79,1),(80,1),(81,1),(98,1)}
        94:{1,4,7}:{(82,1),(83,1),(86,1)}
        95:{2,4,7}:{(82,1),(84,1),(87,1)}
        96:{1,2,4,6}:{(83,1),(84,1),(85,1),(88,1),(101,1),(102,1)}
        97:{3,5}:{(85,1),(102,1),(103,1)}
        98:{1,2,5,7}:{(86,1),(87,1),(88,1),(93,1),(101,1)}
        99:{1,2,4}:{(89,1),(103,1)}
       100:{2,5,7}:{(90,1),(91,1),(92,1)}
       101:{1,2,4,7}:{(94,1),(95,1),(96,1),(98,1),(104,1)}
       102:{3,6}:{(96,1),(97,1),(104,1)}
       103:{3,4}:{(97,1),(99,1)}
       104:{3,7}:{(101,1),(102,1)}

1459 :   0:{1,2,3,6}:{(3,1),(5,1),(8,1),(93,1),(105,1)}
         1:{2,3,4,6}:{(6,1),(8,1),(9,1),(41,1),(43,1),(48,1),(95,1),(105,1)}
         2:{2,4,5,6}:{(10,1),(11,1),(35,1),(43,1),(97,1)}
         3:{1,2,3,5}:{(0,1),(12,1),(17,1),(25,1),(61,1),(71,1)}
         4:{3,4,5}:{(18,1),(19,1),(20,1),(71,1)}
         5:{1,2,3,7}:{(0,1),(21,1),(112,1),(129,1),(138,1)}
         6:{2,3,4,7}:{(1,1),(21,1),(22,1),(66,1),(73,1),(113,1),(138,1)}
         7:{2,5,6,7}:{(16,1),(23,1),(125,1),(132,1)}
         8:{1,2,4,6}:{(0,1),(1,1),(17,1),(21,1),(24,1),(25,1),(76,1)}
         9:{2,3,5}:{(1,1),(18,1),(25,1),(71,1),(130,1)}
        10:{3,5,6}:{(2,1),(20,1),(27,1),(28,1)}
        11:{2,4,5,7}:{(2,1),(23,1),(28,1),(65,1),(73,1),(132,1)}
        12:{1,2,3}:{(32,1)}
        13:{1,3,4}:{(32,1),(33,1),(41,1)}
        14:{1,2,3,5,7}:{(3,1),(5,1),(29,1),(34,1),(36,1),(47,1),(82,1),(89,1),(96,1),(100,1)}
        15:{3,4,5,7}:{(4,1),(37,1),(38,1),(39,1),(45,1),(83,1),(99,1),(100,1),(149,1),(159,1),(202,1)}
        16:{3,5,6,7}:{(7,1),(31,1),(40,1),(49,1),(91,1),(99,1)}
        17:{1,2,4}:{(3,1),(41,1)}
        18:{2,4,5}:{(4,1),(9,1),(43,1),(159,1)}
        19:{1,4,5}:{(4,1),(33,1),(44,1)}
        20:{3,4,6}:{(4,1),(10,1),(43,1),(44,1),(45,1),(105,1)}
        21:{1,2,4,7}:{(5,1),(6,1),(8,1),(46,1),(47,1),(143,1)}
        22:{2,3,5,7}:{(6,1),(9,1),(37,1),(47,1),(48,1),(100,1),(144,1),(192,1)}
        23:{2,4,6,7}:{(7,1),(11,1),(40,1),(49,1)}
        24:{1,3,4,6}:{(8,1),(41,1),(46,1),(50,1),(95,1),(105,1),(108,1),(110,1)}
        25:{1,2,5}:{(8,1),(9,1),(50,1)}
        26:{2,3,5,6}:{(9,1),(10,1),(43,1),(48,1),(51,1),(52,1),(97,1),(105,1),(160,1)}
        27:{1,5,6}:{(10,1),(44,1),(53,1)}
        28:{3,5,7}:{(10,1),(11,1),(45,1),(49,1),(53,1)}
        29:{1,2,3,7}:{(12,1),(54,1),(57,1),(208,1),(210,1)}
        30:{1,3,4,7}:{(13,1),(55,1),(57,1),(58,1),(66,1),(175,1),(210,1)}
        31:{1,5,6,7}:{(16,1),(59,1),(78,1),(133,1)}
        32:{1,2,4}:{(12,1),(13,1),(60,1),(61,1)}
        33:{1,3,5}:{(13,1),(19,1),(61,1),(62,1),(71,1)}
        34:{1,2,3,6}:{(14,1),(63,1),(76,1),(124,1),(135,1)}
        35:{4,5,6}:{(64,1),(65,1),(183,1)}
        36:{1,2,4,7}:{(14,1),(17,1),(63,1),(66,1),(114,1)}
        37:{2,4,5,7}:{(15,1),(18,1),(22,1),(68,1),(73,1),(115,1),(132,1),(174,1)}
        38:{1,4,5,7}:{(15,1),(19,1),(58,1),(69,1),(74,1),(116,1),(133,1),(175,1)}
        39:{3,4,6}:{(15,1),(64,1),(68,1),(69,1),(135,1),(183,1)}
        40:{4,6,7}:{(16,1),(65,1)}
        41:{3,4}:{(17,1),(71,1)}
        42:{1,2,4,5}:{(17,1),(18,1),(19,1),(25,1),(61,1),(71,1),(72,1),(79,1),(127,1)}
        43:{2,4,6}:{(18,1),(20,1),(26,1),(73,1),(183,1)}
        44:{1,4,6}:{(19,1),(20,1),(27,1),(62,1),(74,1)}
        45:{3,4,7}:{(20,1),(28,1),(73,1),(74,1),(138,1)}
        46:{1,3,4,7}:{(21,1),(24,1),(66,1),(75,1),(138,1),(142,1),(169,1)}
        47:{1,2,5,7}:{(21,1),(22,1),(25,1),(75,1),(76,1),(170,1),(208,1)}
        48:{2,3,6}:{(22,1),(68,1),(76,1),(135,1)}
        49:{3,6,7}:{(23,1),(28,1),(78,1)}
        50:{1,3,5}:{(24,1),(25,1),(71,1),(79,1),(130,1)}
        51:{1,2,5,6}:{(25,1),(26,1),(27,1),(72,1),(76,1),(80,1),(81,1),(181,1)}
        52:{2,3,5,7}:{(26,1),(28,1),(73,1),(77,1),(81,1),(132,1),(138,1),(184,1)}
        53:{1,5,7}:{(27,1),(28,1),(74,1),(78,1)}
        54:{1,2,3,6}:{(29,1),(82,1),(84,1),(191,1),(194,1)}
        55:{1,3,4,6}:{(30,1),(84,1),(85,1),(90,1),(95,1),(145,1),(148,1),(194,1)}
        56:{1,4,5,6}:{(35,1),(86,1),(87,1),(98,1),(148,1)}
        57:{1,2,4,7}:{(29,1),(30,1),(32,1),(84,1),(88,1),(89,1)}
        58:{1,3,5,7}:{(30,1),(33,1),(38,1),(85,1),(89,1),(90,1),(94,1),(100,1)}
        59:{1,4,6,7}:{(31,1),(40,1),(87,1),(91,1)}
        60:{2,3,4}:{(32,1),(41,1),(92,1)}
        61:{1,2,5}:{(32,1),(33,1),(92,1),(93,1)}
        62:{1,3,6}:{(33,1),(44,1),(93,1),(94,1),(105,1)}
        63:{1,2,4,6}:{(34,1),(36,1),(95,1),(96,1)}
        64:{3,5,6}:{(35,1),(39,1),(97,1),(98,1),(99,1)}
        65:{4,5,7}:{(35,1),(40,1),(99,1),(202,1)}
        66:{3,4,7}:{(36,1),(41,1),(95,1),(100,1),(145,1),(202,1)}
        67:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(42,1),(47,1),(89,1),(96,1),(100,1),(101,1),(106,1),(107,1),(146,1),(154,1),(159,1),(161,1),(195,1),(202,1)}
        68:{2,4,6}:{(37,1),(39,1),(48,1),(97,1)}
        69:{1,4,6}:{(38,1),(39,1),(90,1),(98,1)}
        70:{3,4,6,7}:{(39,1),(40,1),(45,1),(49,1),(91,1),(99,1),(102,1),(103,1),(149,1),(163,1),(202,1)}
        71:{3,5}:{(41,1),(42,1),(105,1)}
        72:{1,2,4,6}:{(42,1),(43,1),(44,1),(51,1),(93,1),(105,1),(106,1),(110,1),(157,1)}
        73:{2,4,7}:{(43,1),(45,1),(52,1),(202,1)}
        74:{1,4,7}:{(44,1),(45,1),(53,1),(94,1)}
        75:{1,3,5,7}:{(46,1),(47,1),(50,1),(100,1),(107,1),(108,1),(190,1),(218,1)}
        76:{1,2,6}:{(47,1),(48,1),(108,1)}
        77:{2,3,6,7}:{(48,1),(49,1),(52,1),(102,1),(109,1),(163,1),(192,1)}
        78:{1,6,7}:{(49,1),(53,1)}
        79:{1,4,5}:{(50,1),(104,1),(110,1),(159,1)}
        80:{1,3,5,6}:{(50,1),(51,1),(105,1),(108,1),(110,1),(111,1),(160,1),(164,1),(166,1)}
        81:{1,2,5,7}:{(51,1),(52,1),(53,1),(106,1),(109,1),(111,1),(200,1)}
        82:{1,2,3,5}:{(54,1),(112,1),(114,1),(119,1),(170,1),(172,1)}
        83:{3,4,5}:{(115,1),(116,1),(117,1),(172,1)}
        84:{1,2,4,6}:{(54,1),(55,1),(57,1),(114,1),(118,1),(119,1),(124,1)}
        85:{1,3,5}:{(55,1),(116,1),(119,1),(130,1),(172,1)}
        86:{3,5,6}:{(56,1),(117,1),(120,1),(122,1)}
        87:{1,4,5,7}:{(56,1),(59,1),(65,1),(122,1),(133,1),(175,1)}
        88:{2,3,4,7}:{(57,1),(60,1),(66,1),(118,1),(123,1),(210,1),(212,1)}
        89:{1,2,5,7}:{(57,1),(58,1),(61,1),(119,1),(123,1),(124,1),(129,1)}
        90:{1,3,6}:{(58,1),(69,1),(124,1),(135,1)}
        91:{3,6,7}:{(59,1),(122,1),(125,1)}
        92:{2,3,5}:{(60,1),(61,1),(71,1),(127,1),(128,1)}
        93:{1,2,6}:{(61,1),(62,1),(128,1),(129,1)}
        94:{1,3,7}:{(62,1),(74,1),(129,1),(138,1)}
        95:{3,4,6}:{(63,1),(66,1),(130,1),(135,1),(183,1)}
        96:{1,2,5}:{(63,1),(130,1)}
        97:{2,5,6}:{(64,1),(68,1),(132,1)}
        98:{1,5,6}:{(64,1),(69,1),(133,1)}
        99:{3,5,7}:{(64,1),(65,1),(70,1),(132,1),(133,1)}
       100:{3,5,7}:{(66,1),(67,1),(71,1),(130,1),(135,1),(138,1),(172,1),(210,1)}
       101:{1,2,4,6}:{(67,1),(68,1),(69,1),(76,1),(124,1),(131,1),(135,1),(139,1),(179,1),(183,1)}
       102:{2,4,6,7}:{(68,1),(70,1),(73,1),(77,1),(125,1),(132,1),(174,1)}
       103:{1,4,6,7}:{(69,1),(70,1),(74,1),(78,1),(126,1),(133,1),(175,1)}
       104:{3,4,5}:{(71,1),(79,1),(127,1),(137,1)}
       105:{3,6}:{(71,1),(72,1),(138,1)}
       106:{1,2,4,7}:{(72,1),(73,1),(74,1),(81,1),(129,1),(138,1),(142,1),(182,1)}
       107:{1,4,5,7}:{(75,1),(79,1),(134,1),(139,1),(142,1),(188,1),(206,1),(225,1)}
       108:{1,3,6}:{(75,1),(76,1),(135,1),(139,1)}
       109:{1,2,6,7}:{(76,1),(77,1),(78,1),(81,1),(140,1),(208,1),(214,1)}
       110:{1,4,6}:{(79,1),(80,1),(137,1),(142,1),(183,1)}
       111:{1,3,5,7}:{(80,1),(81,1),(138,1),(140,1),(142,1),(184,1),(187,1),(188,1)}
       112:{1,2,3}:{(143,1)}
       113:{2,3,4}:{(143,1),(144,1),(145,1)}
       114:{1,2,4}:{(82,1),(145,1)}
       115:{2,4,5}:{(83,1),(144,1),(147,1)}
       116:{1,4,5}:{(83,1),(85,1),(148,1),(159,1)}
       117:{3,4,6}:{(83,1),(86,1),(147,1),(148,1),(149,1),(194,1)}
       118:{2,3,4,6}:{(84,1),(88,1),(95,1),(145,1),(150,1),(155,1),(194,1),(196,1)}
       119:{1,2,5}:{(84,1),(85,1),(150,1)}
       120:{2,5,6}:{(86,1),(147,1),(152,1)}
       121:{1,3,5,6}:{(85,1),(86,1),(90,1),(98,1),(148,1),(151,1),(153,1),(160,1),(194,1)}
       122:{3,5,7}:{(86,1),(87,1),(91,1),(149,1),(152,1)}
       123:{2,3,5,7}:{(88,1),(89,1),(92,1),(100,1),(150,1),(154,1),(155,1),(158,1)}
       124:{1,2,6}:{(89,1),(90,1),(155,1)}
       125:{2,6,7}:{(91,1),(152,1)}
       126:{1,3,6,7}:{(90,1),(91,1),(94,1),(103,1),(153,1),(156,1),(163,1)}
       127:{2,4,5}:{(92,1),(104,1),(157,1)}
       128:{2,3,6}:{(92,1),(93,1),(105,1),(157,1),(158,1)}
       129:{1,2,7}:{(93,1),(94,1),(158,1)}
       130:{3,5}:{(95,1),(96,1),(159,1)}
       131:{1,2,5,6}:{(96,1),(97,1),(98,1),(101,1),(160,1),(161,1),(166,1),(198,1)}
       132:{2,5,7}:{(97,1),(99,1),(102,1)}
       133:{1,5,7}:{(98,1),(99,1),(103,1)}
       134:{3,4,5,7}:{(100,1),(104,1),(107,1),(154,1),(159,1),(162,1),(165,1),(193,1),(202,1),(203,1),(220,1)}
       135:{3,6}:{(100,1),(101,1)}
       136:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(106,1),(109,1),(156,1),(161,1),(163,1),(167,1),(195,1),(199,1),(202,1)}
       137:{3,4,6}:{(104,1),(105,1),(110,1),(157,1),(164,1),(165,1)}
       138:{3,7}:{(105,1),(106,1)}
       139:{1,4,6}:{(107,1),(108,1),(162,1),(166,1)}
       140:{1,3,6,7}:{(108,1),(109,1),(111,1),(163,1),(167,1),(204,1),(218,1)}
       141:{1,4,5,6}:{(110,1),(164,1),(166,1),(168,1),(201,1)}
       142:{1,4,7}:{(110,1),(111,1),(165,1),(202,1)}
       143:{1,2,4}:{(112,1),(113,1),(169,1),(170,1)}
       144:{2,3,5}:{(113,1),(115,1),(170,1),(171,1),(172,1)}
       145:{3,4}:{(114,1),(172,1)}
       146:{1,2,4,5}:{(114,1),(115,1),(116,1),(119,1),(170,1),(172,1),(173,1),(176,1),(206,1)}
       147:{2,4,6}:{(115,1),(117,1),(120,1),(171,1),(174,1)}
       148:{1,4,6}:{(116,1),(117,1),(121,1),(175,1),(183,1)}
       149:{3,4,7}:{(117,1),(122,1),(174,1),(175,1),(210,1)}
       150:{2,3,5}:{(118,1),(119,1),(130,1),(172,1),(176,1)}
       151:{1,2,5,6}:{(119,1),(120,1),(121,1),(124,1),(173,1),(177,1),(178,1),(224,1)}
       152:{2,5,7}:{(120,1),(122,1),(125,1),(174,1)}
       153:{1,3,5,7}:{(121,1),(122,1),(126,1),(133,1),(175,1),(178,1),(184,1),(210,1)}
       154:{2,4,5,7}:{(123,1),(127,1),(134,1),(176,1),(179,1),(182,1),(212,1),(213,1)}
       155:{2,3,6}:{(123,1),(124,1),(135,1),(179,1)}
       156:{1,2,6,7}:{(124,1),(125,1),(126,1),(129,1),(178,1),(180,1),(230,1)}
       157:{2,4,6}:{(127,1),(128,1),(137,1),(181,1),(182,1)}
       158:{2,3,7}:{(128,1),(129,1),(138,1),(182,1)}
       159:{4,5}:{(130,1),(183,1)}
       160:{3,5,6}:{(130,1),(131,1),(135,1),(183,1),(184,1)}
       161:{1,2,5,7}:{(131,1),(132,1),(133,1),(136,1),(184,1),(188,1),(213,1)}
       162:{3,4,6}:{(134,1),(135,1),(139,1),(179,1),(183,1),(185,1)}
       163:{3,6,7}:{(135,1),(136,1),(138,1),(184,1),(210,1)}
       164:{3,5,6}:{(137,1),(141,1),(181,1),(187,1)}
       165:{3,4,7}:{(137,1),(138,1),(142,1),(182,1),(187,1)}
       166:{1,5,6}:{(139,1),(185,1),(188,1)}
       167:{1,4,6,7}:{(139,1),(140,1),(142,1),(186,1),(188,1),(225,1),(230,1)}
       168:{1,4,5,7}:{(141,1),(142,1),(187,1),(188,1),(189,1),(215,1)}
       169:{1,3,4}:{(143,1),(145,1),(190,1)}
       170:{1,2,5}:{(143,1),(144,1),(190,1),(191,1)}
       171:{2,3,6}:{(144,1),(147,1),(191,1),(192,1),(194,1)}
       172:{3,5}:{(145,1),(146,1),(194,1)}
       173:{1,2,4,6}:{(146,1),(147,1),(148,1),(151,1),(191,1),(194,1),(195,1),(196,1),(217,1)}
       174:{2,4,7}:{(147,1),(149,1),(152,1),(192,1)}
       175:{1,4,7}:{(148,1),(149,1),(153,1),(202,1)}
       176:{2,4,5}:{(150,1),(159,1),(193,1),(196,1)}
       177:{2,3,5,6}:{(150,1),(151,1),(155,1),(160,1),(194,1),(196,1),(197,1),(198,1),(219,1)}
       178:{1,2,5,7}:{(151,1),(152,1),(153,1),(156,1),(195,1),(197,1),(228,1)}
       179:{2,4,6}:{(154,1),(155,1),(162,1),(198,1)}
       180:{2,3,6,7}:{(155,1),(156,1),(158,1),(163,1),(197,1),(199,1),(229,1)}
       181:{2,5,6}:{(157,1),(164,1),(200,1)}
       182:{2,4,7}:{(157,1),(158,1),(165,1),(200,1)}
       183:{4,6}:{(159,1),(160,1),(202,1)}
       184:{3,5,7}:{(160,1),(161,1),(163,1),(202,1)}
       185:{3,5,6}:{(162,1),(166,1),(198,1),(201,1),(203,1)}
       186:{3,4,6,7}:{(162,1),(163,1),(165,1),(167,1),(199,1),(202,1),(203,1),(204,1),(220,1),(223,1),(229,1)}
       187:{3,5,7}:{(164,1),(165,1),(168,1),(200,1),(204,1)}
       188:{1,5,7}:{(166,1),(167,1),(203,1)}
       189:{1,4,6,7}:{(168,1),(204,1),(205,1),(223,1)}
       190:{1,3,5}:{(169,1),(170,1),(172,1),(206,1),(207,1)}
       191:{1,2,6}:{(170,1),(171,1),(207,1),(208,1)}
       192:{2,3,7}:{(171,1),(174,1),(208,1),(210,1)}
       193:{3,4,5}:{(172,1),(176,1),(206,1),(209,1)}
       194:{3,6}:{(172,1),(173,1),(210,1)}
       195:{1,2,4,7}:{(173,1),(174,1),(175,1),(178,1),(208,1),(210,1),(212,1),(225,1)}
       196:{2,4,6}:{(176,1),(177,1),(183,1),(209,1),(212,1)}
       197:{2,3,5,7}:{(177,1),(178,1),(180,1),(184,1),(210,1),(212,1),(213,1),(226,1)}
       198:{2,5,6}:{(179,1),(185,1),(213,1)}
       199:{2,4,6,7}:{(179,1),(180,1),(182,1),(186,1),(212,1),(213,1),(214,1)}
       200:{2,5,7}:{(181,1),(182,1),(187,1),(214,1)}
       201:{4,5,6}:{(183,1),(185,1),(215,1)}
       202:{4,7}:{(183,1),(184,1)}
       203:{3,5,7}:{(185,1),(186,1),(188,1),(213,1),(215,1)}
       204:{3,6,7}:{(187,1),(189,1),(214,1)}
       205:{1,5,6,7}:{(188,1),(189,1),(216,1),(230,1)}
       206:{1,4,5}:{(190,1),(193,1),(217,1)}
       207:{1,3,6}:{(190,1),(191,1),(194,1),(217,1),(218,1)}
       208:{1,2,7}:{(191,1),(192,1),(218,1)}
       209:{3,4,6}:{(193,1),(194,1),(196,1),(217,1),(219,1),(220,1)}
       210:{3,7}:{(194,1),(195,1)}
       211:{2,4,5,6}:{(196,1),(198,1),(201,1),(219,1),(221,1)}
       212:{2,4,7}:{(196,1),(197,1),(202,1),(220,1)}
       213:{2,5,7}:{(198,1),(199,1),(203,1)}
       214:{2,6,7}:{(200,1),(204,1)}
       215:{4,5,7}:{(201,1),(202,1),(203,1),(223,1)}
       216:{3,5,6,7}:{(203,1),(204,1),(205,1),(222,1),(223,1),(229,1)}
       217:{1,4,6}:{(206,1),(207,1),(209,1),(224,1),(225,1)}
       218:{1,3,7}:{(207,1),(208,1),(210,1),(225,1)}
       219:{3,5,6}:{(209,1),(211,1),(224,1),(226,1)}
       220:{3,4,7}:{(209,1),(210,1),(212,1),(225,1),(226,1)}
       221:{2,4,5,7}:{(211,1),(212,1),(213,1),(215,1),(226,1),(227,1)}
       222:{2,5,6,7}:{(213,1),(214,1),(216,1),(227,1)}
       223:{4,6,7}:{(215,1),(216,1)}
       224:{1,5,6}:{(217,1),(219,1),(228,1)}
       225:{1,4,7}:{(217,1),(218,1),(220,1),(228,1)}
       226:{3,5,7}:{(219,1),(220,1),(221,1),(228,1),(229,1)}
       227:{2,4,6,7}:{(221,1),(222,1),(223,1),(229,1)}
       228:{1,5,7}:{(224,1),(225,1),(226,1),(230,1)}
       229:{3,6,7}:{(226,1),(227,1),(230,1)}
       230:{1,6,7}:{(228,1),(229,1)}

1460 :   0:{1,2,3,7}:{(6,1),(9,1),(94,1),(175,1),(177,1)}
         1:{2,3,4,7}:{(7,1),(9,1),(10,1),(41,1),(95,1),(121,1),(177,1)}
         2:{2,5,6,7}:{(5,1),(11,1),(107,1),(111,1)}
         3:{1,2,3,5,7}:{(0,1),(12,1),(15,1),(17,1),(22,1),(29,1),(61,1),(68,1),(72,1),(76,1)}
         4:{3,4,5,7}:{(18,1),(19,1),(20,1),(23,1),(62,1),(75,1),(76,1),(86,1),(134,1),(142,1),(192,1)}
         5:{3,5,6,7}:{(2,1),(14,1),(21,1),(31,1),(70,1),(75,1)}
         6:{1,2,3,6}:{(0,1),(22,1),(24,1),(148,1),(151,1)}
         7:{2,3,4,6}:{(1,1),(24,1),(25,1),(30,1),(71,1),(82,1),(84,1),(151,1)}
         8:{2,4,5,6}:{(16,1),(26,1),(27,1),(73,1),(84,1)}
         9:{1,2,4,7}:{(0,1),(1,1),(24,1),(28,1),(29,1),(128,1)}
        10:{2,3,5,7}:{(1,1),(18,1),(25,1),(29,1),(30,1),(76,1),(129,1),(183,1)}
        11:{2,4,6,7}:{(2,1),(21,1),(27,1),(31,1)}
        12:{1,2,3,7}:{(32,1),(35,1),(46,1),(202,1),(204,1)}
        13:{1,3,4,7}:{(33,1),(35,1),(36,1),(41,1),(47,1),(163,1),(204,1)}
        14:{1,5,6,7}:{(5,1),(37,1),(60,1),(112,1)}
        15:{1,2,3,6}:{(3,1),(38,1),(58,1),(106,1),(114,1)}
        16:{4,5,6}:{(39,1),(40,1),(169,1)}
        17:{1,2,4,7}:{(3,1),(38,1),(41,1),(48,1),(96,1)}
        18:{2,4,5,7}:{(4,1),(10,1),(43,1),(49,1),(97,1),(111,1),(121,1),(162,1)}
        19:{1,4,5,7}:{(4,1),(36,1),(44,1),(50,1),(98,1),(112,1),(122,1),(163,1)}
        20:{3,4,6}:{(4,1),(39,1),(43,1),(44,1),(114,1),(169,1)}
        21:{4,6,7}:{(5,1),(40,1)}
        22:{1,2,3,5}:{(6,1),(46,1),(48,1),(53,1),(117,1),(119,1)}
        23:{3,4,5}:{(49,1),(50,1),(51,1),(119,1)}
        24:{1,2,4,6}:{(6,1),(7,1),(9,1),(48,1),(52,1),(53,1),(58,1)}
        25:{2,3,5}:{(7,1),(49,1),(53,1),(109,1),(119,1)}
        26:{3,5,6}:{(8,1),(51,1),(55,1),(56,1)}
        27:{2,4,5,7}:{(8,1),(11,1),(40,1),(56,1),(111,1),(121,1)}
        28:{1,3,4,7}:{(9,1),(41,1),(52,1),(57,1),(157,1),(177,1),(179,1)}
        29:{1,2,5,7}:{(9,1),(10,1),(53,1),(57,1),(58,1),(158,1),(202,1)}
        30:{2,3,6}:{(10,1),(43,1),(58,1),(114,1)}
        31:{3,6,7}:{(11,1),(56,1),(60,1)}
        32:{1,2,3,6}:{(12,1),(61,1),(63,1),(182,1),(185,1)}
        33:{1,3,4,6}:{(13,1),(63,1),(64,1),(69,1),(71,1),(130,1),(133,1),(185,1)}
        34:{1,4,5,6}:{(16,1),(65,1),(66,1),(74,1),(133,1)}
        35:{1,2,4,7}:{(12,1),(13,1),(63,1),(67,1),(68,1),(80,1)}
        36:{1,3,5,7}:{(13,1),(19,1),(64,1),(68,1),(69,1),(76,1),(81,1),(149,1)}
        37:{1,4,6,7}:{(14,1),(21,1),(66,1),(70,1)}
        38:{1,2,4,6}:{(15,1),(17,1),(71,1),(72,1)}
        39:{3,5,6}:{(16,1),(20,1),(73,1),(74,1),(75,1)}
        40:{4,5,7}:{(16,1),(21,1),(75,1),(192,1)}
        41:{3,4,7}:{(17,1),(71,1),(76,1),(82,1),(130,1),(192,1)}
        42:{1,2,4,5,7}:{(17,1),(18,1),(19,1),(29,1),(68,1),(72,1),(76,1),(77,1),(83,1),(91,1),(131,1),(139,1),(142,1),(144,1),(152,1),(186,1),(192,1)}
        43:{2,4,6}:{(18,1),(20,1),(30,1),(73,1)}
        44:{1,4,6}:{(19,1),(20,1),(69,1),(74,1)}
        45:{3,4,6,7}:{(20,1),(21,1),(31,1),(70,1),(75,1),(78,1),(79,1),(86,1),(134,1),(146,1),(192,1)}
        46:{1,2,3}:{(80,1)}
        47:{1,3,4}:{(80,1),(81,1),(82,1)}
        48:{1,2,4}:{(22,1),(82,1)}
        49:{2,4,5}:{(23,1),(25,1),(84,1),(142,1)}
        50:{1,4,5}:{(23,1),(81,1),(85,1)}
        51:{3,4,6}:{(23,1),(26,1),(84,1),(85,1),(86,1),(151,1)}
        52:{1,3,4,6}:{(24,1),(28,1),(71,1),(82,1),(87,1),(92,1),(151,1),(153,1)}
        53:{1,2,5}:{(24,1),(25,1),(87,1)}
        54:{2,3,5,6}:{(25,1),(26,1),(30,1),(73,1),(84,1),(88,1),(89,1),(143,1),(151,1)}
        55:{1,5,6}:{(26,1),(85,1),(90,1)}
        56:{3,5,7}:{(26,1),(27,1),(31,1),(86,1),(90,1)}
        57:{1,3,5,7}:{(28,1),(29,1),(76,1),(87,1),(91,1),(92,1),(181,1),(215,1)}
        58:{1,2,6}:{(29,1),(30,1),(92,1)}
        59:{2,3,6,7}:{(30,1),(31,1),(78,1),(89,1),(93,1),(146,1),(183,1)}
        60:{1,6,7}:{(31,1),(90,1)}
        61:{1,2,3,5}:{(32,1),(94,1),(96,1),(101,1),(158,1),(160,1)}
        62:{3,4,5}:{(97,1),(98,1),(99,1),(160,1)}
        63:{1,2,4,6}:{(32,1),(33,1),(35,1),(96,1),(100,1),(101,1),(106,1)}
        64:{1,3,5}:{(33,1),(98,1),(101,1),(109,1),(160,1)}
        65:{3,5,6}:{(34,1),(99,1),(102,1),(104,1)}
        66:{1,4,5,7}:{(34,1),(37,1),(40,1),(104,1),(112,1),(163,1)}
        67:{2,3,4,7}:{(35,1),(41,1),(100,1),(105,1),(116,1),(204,1),(206,1)}
        68:{1,2,5,7}:{(35,1),(36,1),(101,1),(105,1),(106,1),(117,1),(175,1)}
        69:{1,3,6}:{(36,1),(44,1),(106,1),(114,1)}
        70:{3,6,7}:{(37,1),(104,1),(107,1)}
        71:{3,4,6}:{(38,1),(41,1),(109,1),(114,1),(169,1)}
        72:{1,2,5}:{(38,1),(109,1)}
        73:{2,5,6}:{(39,1),(43,1),(111,1)}
        74:{1,5,6}:{(39,1),(44,1),(112,1)}
        75:{3,5,7}:{(39,1),(40,1),(45,1),(111,1),(112,1)}
        76:{3,5,7}:{(41,1),(42,1),(109,1),(114,1),(119,1),(160,1),(177,1),(204,1)}
        77:{1,2,4,6}:{(42,1),(43,1),(44,1),(58,1),(106,1),(110,1),(114,1),(126,1),(167,1),(169,1)}
        78:{2,4,6,7}:{(43,1),(45,1),(59,1),(107,1),(111,1),(121,1),(162,1)}
        79:{1,4,6,7}:{(44,1),(45,1),(60,1),(108,1),(112,1),(122,1),(163,1)}
        80:{1,2,4}:{(46,1),(47,1),(116,1),(117,1)}
        81:{1,3,5}:{(47,1),(50,1),(117,1),(118,1),(119,1)}
        82:{3,4}:{(48,1),(119,1)}
        83:{1,2,4,5}:{(48,1),(49,1),(50,1),(53,1),(117,1),(119,1),(120,1),(123,1),(173,1)}
        84:{2,4,6}:{(49,1),(51,1),(54,1),(121,1),(169,1)}
        85:{1,4,6}:{(50,1),(51,1),(55,1),(118,1),(122,1)}
        86:{3,4,7}:{(51,1),(56,1),(121,1),(122,1),(177,1)}
        87:{1,3,5}:{(52,1),(53,1),(109,1),(119,1),(123,1)}
        88:{1,2,5,6}:{(53,1),(54,1),(55,1),(58,1),(120,1),(124,1),(125,1),(210,1)}
        89:{2,3,5,7}:{(54,1),(56,1),(59,1),(111,1),(121,1),(125,1),(170,1),(177,1)}
        90:{1,5,7}:{(55,1),(56,1),(60,1),(122,1)}
        91:{1,4,5,7}:{(57,1),(113,1),(123,1),(126,1),(179,1),(180,1),(200,1),(224,1)}
        92:{1,3,6}:{(57,1),(58,1),(114,1),(126,1)}
        93:{1,2,6,7}:{(58,1),(59,1),(60,1),(125,1),(127,1),(202,1),(227,1)}
        94:{1,2,3}:{(128,1)}
        95:{2,3,4}:{(128,1),(129,1),(130,1)}
        96:{1,2,4}:{(61,1),(130,1)}
        97:{2,4,5}:{(62,1),(129,1),(132,1)}
        98:{1,4,5}:{(62,1),(64,1),(133,1),(142,1)}
        99:{3,4,6}:{(62,1),(65,1),(132,1),(133,1),(134,1),(185,1)}
       100:{2,3,4,6}:{(63,1),(67,1),(71,1),(130,1),(135,1),(140,1),(185,1),(187,1)}
       101:{1,2,5}:{(63,1),(64,1),(135,1)}
       102:{2,5,6}:{(65,1),(132,1),(137,1)}
       103:{1,3,5,6}:{(64,1),(65,1),(69,1),(74,1),(133,1),(136,1),(138,1),(143,1),(185,1)}
       104:{3,5,7}:{(65,1),(66,1),(70,1),(134,1),(137,1)}
       105:{2,3,5,7}:{(67,1),(68,1),(76,1),(135,1),(139,1),(140,1),(147,1),(195,1)}
       106:{1,2,6}:{(68,1),(69,1),(140,1)}
       107:{2,6,7}:{(70,1),(137,1)}
       108:{1,3,6,7}:{(69,1),(70,1),(79,1),(138,1),(141,1),(146,1),(149,1)}
       109:{3,5}:{(71,1),(72,1),(142,1)}
       110:{1,2,5,6}:{(72,1),(73,1),(74,1),(77,1),(143,1),(144,1),(155,1),(189,1)}
       111:{2,5,7}:{(73,1),(75,1),(78,1)}
       112:{1,5,7}:{(74,1),(75,1),(79,1)}
       113:{3,4,5,7}:{(76,1),(91,1),(139,1),(142,1),(145,1),(150,1),(184,1),(192,1),(193,1),(197,1),(217,1)}
       114:{3,6}:{(76,1),(77,1)}
       115:{1,2,4,6,7}:{(77,1),(78,1),(79,1),(93,1),(141,1),(144,1),(146,1),(152,1),(156,1),(186,1),(190,1),(192,1)}
       116:{2,3,4}:{(80,1),(82,1),(147,1)}
       117:{1,2,5}:{(80,1),(81,1),(147,1),(148,1)}
       118:{1,3,6}:{(81,1),(85,1),(148,1),(149,1),(151,1)}
       119:{3,5}:{(82,1),(83,1),(151,1)}
       120:{1,2,4,6}:{(83,1),(84,1),(85,1),(88,1),(148,1),(151,1),(152,1),(153,1),(194,1)}
       121:{2,4,7}:{(84,1),(86,1),(89,1),(192,1)}
       122:{1,4,7}:{(85,1),(86,1),(90,1),(149,1)}
       123:{1,4,5}:{(87,1),(142,1),(150,1),(153,1)}
       124:{1,3,5,6}:{(87,1),(88,1),(92,1),(143,1),(151,1),(153,1),(154,1),(155,1),(196,1)}
       125:{1,2,5,7}:{(88,1),(89,1),(90,1),(93,1),(152,1),(154,1),(221,1)}
       126:{1,4,6}:{(91,1),(92,1),(145,1),(155,1)}
       127:{1,3,6,7}:{(92,1),(93,1),(146,1),(154,1),(156,1),(215,1),(222,1)}
       128:{1,2,4}:{(94,1),(95,1),(157,1),(158,1)}
       129:{2,3,5}:{(95,1),(97,1),(158,1),(159,1),(160,1)}
       130:{3,4}:{(96,1),(160,1)}
       131:{1,2,4,5}:{(96,1),(97,1),(98,1),(101,1),(158,1),(160,1),(161,1),(164,1),(200,1)}
       132:{2,4,6}:{(97,1),(99,1),(102,1),(159,1),(162,1)}
       133:{1,4,6}:{(98,1),(99,1),(103,1),(163,1),(169,1)}
       134:{3,4,7}:{(99,1),(104,1),(162,1),(163,1),(204,1)}
       135:{2,3,5}:{(100,1),(101,1),(109,1),(160,1),(164,1)}
       136:{1,2,5,6}:{(101,1),(102,1),(103,1),(106,1),(161,1),(165,1),(166,1),(223,1)}
       137:{2,5,7}:{(102,1),(104,1),(107,1),(162,1)}
       138:{1,3,5,7}:{(103,1),(104,1),(108,1),(112,1),(163,1),(166,1),(170,1),(204,1)}
       139:{2,4,5,7}:{(105,1),(113,1),(164,1),(167,1),(173,1),(206,1),(207,1),(211,1)}
       140:{2,3,6}:{(105,1),(106,1),(114,1),(167,1)}
       141:{1,2,6,7}:{(106,1),(107,1),(108,1),(166,1),(168,1),(175,1),(230,1)}
       142:{4,5}:{(109,1),(169,1)}
       143:{3,5,6}:{(109,1),(110,1),(114,1),(169,1),(170,1)}
       144:{1,2,5,7}:{(110,1),(111,1),(112,1),(115,1),(170,1),(180,1),(207,1)}
       145:{3,4,6}:{(113,1),(114,1),(126,1),(167,1),(169,1),(171,1)}
       146:{3,6,7}:{(114,1),(115,1),(170,1),(177,1),(204,1)}
       147:{2,3,5}:{(116,1),(117,1),(119,1),(173,1),(174,1)}
       148:{1,2,6}:{(117,1),(118,1),(174,1),(175,1)}
       149:{1,3,7}:{(118,1),(122,1),(175,1),(177,1)}
       150:{3,4,5}:{(119,1),(123,1),(173,1),(176,1)}
       151:{3,6}:{(119,1),(120,1),(177,1)}
       152:{1,2,4,7}:{(120,1),(121,1),(122,1),(125,1),(175,1),(177,1),(179,1),(211,1)}
       153:{1,4,6}:{(123,1),(124,1),(169,1),(176,1),(179,1)}
       154:{1,3,5,7}:{(124,1),(125,1),(127,1),(170,1),(177,1),(179,1),(180,1),(212,1)}
       155:{1,5,6}:{(126,1),(171,1),(180,1)}
       156:{1,4,6,7}:{(126,1),(127,1),(172,1),(179,1),(180,1),(224,1),(230,1)}
       157:{1,3,4}:{(128,1),(130,1),(181,1)}
       158:{1,2,5}:{(128,1),(129,1),(181,1),(182,1)}
       159:{2,3,6}:{(129,1),(132,1),(182,1),(183,1),(185,1)}
       160:{3,5}:{(130,1),(131,1),(185,1)}
       161:{1,2,4,6}:{(131,1),(132,1),(133,1),(136,1),(182,1),(185,1),(186,1),(187,1),(214,1)}
       162:{2,4,7}:{(132,1),(134,1),(137,1),(183,1)}
       163:{1,4,7}:{(133,1),(134,1),(138,1),(192,1)}
       164:{2,4,5}:{(135,1),(142,1),(184,1),(187,1)}
       165:{2,3,5,6}:{(135,1),(136,1),(140,1),(143,1),(185,1),(187,1),(188,1),(189,1),(216,1)}
       166:{1,2,5,7}:{(136,1),(137,1),(138,1),(141,1),(186,1),(188,1),(228,1)}
       167:{2,4,6}:{(139,1),(140,1),(145,1),(189,1)}
       168:{2,3,6,7}:{(140,1),(141,1),(146,1),(188,1),(190,1),(195,1),(229,1)}
       169:{4,6}:{(142,1),(143,1),(192,1)}
       170:{3,5,7}:{(143,1),(144,1),(146,1),(192,1)}
       171:{3,5,6}:{(145,1),(155,1),(189,1),(191,1),(193,1)}
       172:{3,4,6,7}:{(145,1),(146,1),(156,1),(190,1),(192,1),(193,1),(197,1),(217,1),(220,1),(222,1),(229,1)}
       173:{2,4,5}:{(147,1),(150,1),(194,1)}
       174:{2,3,6}:{(147,1),(148,1),(151,1),(194,1),(195,1)}
       175:{1,2,7}:{(148,1),(149,1),(195,1)}
       176:{3,4,6}:{(150,1),(151,1),(153,1),(194,1),(196,1),(197,1)}
       177:{3,7}:{(151,1),(152,1)}
       178:{1,4,5,6}:{(153,1),(155,1),(191,1),(196,1),(198,1)}
       179:{1,4,7}:{(153,1),(154,1),(192,1),(197,1)}
       180:{1,5,7}:{(155,1),(156,1),(193,1)}
       181:{1,3,5}:{(157,1),(158,1),(160,1),(200,1),(201,1)}
       182:{1,2,6}:{(158,1),(159,1),(201,1),(202,1)}
       183:{2,3,7}:{(159,1),(162,1),(202,1),(204,1)}
       184:{3,4,5}:{(160,1),(164,1),(200,1),(203,1)}
       185:{3,6}:{(160,1),(161,1),(204,1)}
       186:{1,2,4,7}:{(161,1),(162,1),(163,1),(166,1),(202,1),(204,1),(206,1),(224,1)}
       187:{2,4,6}:{(164,1),(165,1),(169,1),(203,1),(206,1)}
       188:{2,3,5,7}:{(165,1),(166,1),(168,1),(170,1),(204,1),(206,1),(207,1),(225,1)}
       189:{2,5,6}:{(167,1),(171,1),(207,1)}
       190:{2,4,6,7}:{(167,1),(168,1),(172,1),(206,1),(207,1),(211,1),(227,1)}
       191:{4,5,6}:{(169,1),(171,1),(208,1)}
       192:{4,7}:{(169,1),(170,1)}
       193:{3,5,7}:{(171,1),(172,1),(180,1),(207,1),(208,1)}
       194:{2,4,6}:{(173,1),(174,1),(176,1),(210,1),(211,1)}
       195:{2,3,7}:{(174,1),(175,1),(177,1),(211,1)}
       196:{3,5,6}:{(176,1),(178,1),(210,1),(212,1)}
       197:{3,4,7}:{(176,1),(177,1),(179,1),(211,1),(212,1)}
       198:{1,4,5,7}:{(178,1),(179,1),(180,1),(208,1),(212,1),(213,1)}
       199:{1,5,6,7}:{(180,1),(209,1),(213,1),(230,1)}
       200:{1,4,5}:{(181,1),(184,1),(214,1)}
       201:{1,3,6}:{(181,1),(182,1),(185,1),(214,1),(215,1)}
       202:{1,2,7}:{(182,1),(183,1),(215,1)}
       203:{3,4,6}:{(184,1),(185,1),(187,1),(214,1),(216,1),(217,1)}
       204:{3,7}:{(185,1),(186,1)}
       205:{2,4,5,6}:{(187,1),(189,1),(191,1),(216,1),(218,1)}
       206:{2,4,7}:{(187,1),(188,1),(192,1),(217,1)}
       207:{2,5,7}:{(189,1),(190,1),(193,1)}
       208:{4,5,7}:{(191,1),(192,1),(193,1),(220,1)}
       209:{3,5,6,7}:{(193,1),(199,1),(219,1),(220,1),(222,1),(229,1)}
       210:{2,5,6}:{(194,1),(196,1),(221,1)}
       211:{2,4,7}:{(194,1),(195,1),(197,1),(221,1)}
       212:{3,5,7}:{(196,1),(197,1),(198,1),(221,1),(222,1)}
       213:{1,4,6,7}:{(198,1),(199,1),(220,1),(222,1)}
       214:{1,4,6}:{(200,1),(201,1),(203,1),(223,1),(224,1)}
       215:{1,3,7}:{(201,1),(202,1),(204,1),(224,1)}
       216:{3,5,6}:{(203,1),(205,1),(223,1),(225,1)}
       217:{3,4,7}:{(203,1),(204,1),(206,1),(224,1),(225,1)}
       218:{2,4,5,7}:{(205,1),(206,1),(207,1),(208,1),(225,1),(226,1)}
       219:{2,5,6,7}:{(207,1),(209,1),(226,1),(227,1)}
       220:{4,6,7}:{(208,1),(209,1)}
       221:{2,5,7}:{(210,1),(211,1),(212,1),(227,1)}
       222:{3,6,7}:{(212,1),(213,1),(227,1)}
       223:{1,5,6}:{(214,1),(216,1),(228,1)}
       224:{1,4,7}:{(214,1),(215,1),(217,1),(228,1)}
       225:{3,5,7}:{(216,1),(217,1),(218,1),(228,1),(229,1)}
       226:{2,4,6,7}:{(218,1),(219,1),(220,1),(229,1)}
       227:{2,6,7}:{(221,1),(222,1)}
       228:{1,5,7}:{(223,1),(224,1),(225,1),(230,1)}
       229:{3,6,7}:{(225,1),(226,1),(230,1)}
       230:{1,6,7}:{(228,1),(229,1)}

1461 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(15,1),(19,1),(42,1),(46,1),(77,1),(78,1),(79,1),(99,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(66,1),(67,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(29,1),(30,1),(34,1),(66,1),(67,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(65,1),(90,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(12,1),(16,1),(47,1),(96,1)}
         5:{3,4,6}:{(3,1),(11,1),(13,1),(14,1),(15,1),(51,1),(81,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(16,1),(48,1),(49,1),(52,1),(79,1)}
         7:{3,5,7}:{(2,1),(3,1),(13,1),(16,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(39,1),(51,1),(55,1),(73,1),(77,1),(84,1),(96,1),(99,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(20,1),(51,1),(53,1),(75,1),(78,1),(94,1),(96,1),(103,1)}
        10:{2,3,4,6}:{(15,1),(20,1),(21,1),(22,1),(51,1),(53,1),(81,1),(97,1)}
        11:{3,4,5}:{(5,1),(25,1),(26,1),(65,1),(102,1)}
        12:{4,6,7}:{(4,1),(27,1),(101,1)}
        13:{3,4,7}:{(5,1),(7,1),(29,1),(30,1),(69,1)}
        14:{1,4,6}:{(5,1),(8,1),(25,1),(29,1),(72,1),(101,1)}
        15:{2,4,6}:{(5,1),(9,1),(26,1),(30,1),(88,1),(101,1)}
        16:{3,6,7}:{(6,1),(7,1),(90,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(29,1),(32,1),(34,1),(66,1),(69,1),(92,1)}
        18:{2,3,5,7}:{(7,1),(9,1),(30,1),(33,1),(34,1),(67,1),(69,1),(92,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(36,1),(58,1),(70,1),(86,1)}
        20:{2,3,5}:{(10,1),(26,1),(36,1),(65,1),(102,1)}
        21:{2,3,4,7}:{(10,1),(30,1),(35,1),(37,1),(69,1),(91,1)}
        22:{1,2,4,6}:{(10,1),(36,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        23:{1,3,4,6}:{(14,1),(39,1),(40,1),(41,1),(51,1),(73,1),(81,1),(97,1)}
        24:{3,4,5,7}:{(11,1),(13,1),(43,1),(44,1),(45,1),(47,1),(80,1),(98,1),(104,1)}
        25:{1,4,5}:{(11,1),(14,1),(39,1),(99,1),(104,1)}
        26:{2,4,5}:{(11,1),(15,1),(20,1),(103,1),(104,1)}
        27:{4,5,7}:{(12,1),(42,1),(47,1),(98,1),(104,1)}
        28:{3,4,6,7}:{(12,1),(13,1),(16,1),(43,1),(47,1),(48,1),(49,1),(83,1),(97,1),(98,1)}
        29:{1,4,7}:{(13,1),(14,1),(17,1),(98,1)}
        30:{2,4,7}:{(13,1),(15,1),(18,1),(98,1)}
        31:{1,2,4,6}:{(14,1),(15,1),(19,1),(46,1),(50,1),(51,1)}
        32:{1,3,6,7}:{(16,1),(17,1),(48,1),(52,1),(73,1),(83,1),(84,1)}
        33:{2,3,6,7}:{(16,1),(18,1),(49,1),(52,1),(53,1),(83,1),(94,1)}
        34:{1,2,5,7}:{(17,1),(18,1),(19,1),(50,1),(52,1)}
        35:{2,3,5,7}:{(20,1),(21,1),(45,1),(53,1),(54,1),(80,1)}
        36:{1,2,5}:{(20,1),(22,1),(55,1),(99,1)}
        37:{1,2,4,7}:{(21,1),(22,1),(54,1),(56,1),(85,1)}
        38:{1,3,6}:{(22,1),(51,1),(55,1),(56,1)}
        39:{1,3,5}:{(23,1),(25,1),(58,1),(65,1),(102,1)}
        40:{1,3,4,7}:{(23,1),(29,1),(57,1),(59,1),(69,1),(91,1)}
        41:{1,2,4,6}:{(23,1),(58,1),(59,1),(60,1),(86,1),(88,1),(100,1)}
        42:{4,5,6}:{(27,1),(61,1),(101,1)}
        43:{3,4,6}:{(24,1),(61,1),(62,1),(63,1),(90,1),(101,1)}
        44:{1,4,5,7}:{(24,1),(25,1),(29,1),(57,1),(62,1),(66,1)}
        45:{2,4,5,7}:{(24,1),(26,1),(30,1),(35,1),(63,1),(67,1)}
        46:{1,2,4,5}:{(25,1),(26,1),(31,1),(36,1),(58,1),(65,1),(72,1),(88,1)}
        47:{3,5,7}:{(27,1),(28,1),(61,1),(66,1),(67,1),(102,1)}
        48:{1,4,6,7}:{(28,1),(29,1),(32,1),(62,1),(66,1),(93,1)}
        49:{2,4,6,7}:{(28,1),(30,1),(33,1),(63,1),(67,1),(100,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(69,1)}
        51:{3,6}:{(31,1),(65,1),(69,1)}
        52:{1,2,6,7}:{(32,1),(33,1),(34,1),(70,1),(86,1)}
        53:{2,3,6}:{(35,1),(63,1),(70,1),(90,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(37,1),(70,1),(71,1)}
        55:{1,3,5}:{(36,1),(38,1),(65,1),(72,1)}
        56:{1,3,7}:{(37,1),(38,1),(69,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(44,1),(73,1),(74,1),(80,1)}
        58:{1,2,5}:{(39,1),(41,1),(75,1),(103,1)}
        59:{1,2,4,7}:{(40,1),(41,1),(74,1),(76,1),(95,1)}
        60:{2,3,6}:{(41,1),(51,1),(75,1),(76,1)}
        61:{3,5,6}:{(42,1),(43,1),(47,1),(77,1),(78,1)}
        62:{1,4,6}:{(43,1),(44,1),(73,1),(77,1)}
        63:{2,4,6}:{(43,1),(45,1),(53,1),(78,1)}
        64:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(54,1),(74,1),(79,1),(80,1),(82,1),(85,1),(95,1),(98,1),(99,1),(103,1),(104,1)}
        65:{3,5}:{(46,1),(51,1),(81,1)}
        66:{1,5,7}:{(47,1),(48,1),(77,1),(99,1)}
        67:{2,5,7}:{(47,1),(49,1),(78,1),(103,1)}
        68:{1,2,4,6,7}:{(48,1),(49,1),(50,1),(52,1),(79,1),(82,1),(83,1),(98,1)}
        69:{3,7}:{(50,1),(51,1)}
        70:{1,2,6}:{(53,1),(54,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(56,1),(80,1),(84,1),(85,1),(99,1)}
        72:{1,4}:{(55,1),(81,1)}
        73:{1,3,6}:{(57,1),(62,1),(86,1),(90,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(86,1),(87,1)}
        75:{2,3,5}:{(58,1),(60,1),(65,1),(88,1)}
        76:{2,3,7}:{(59,1),(60,1),(69,1)}
        77:{1,5,6}:{(61,1),(62,1),(66,1)}
        78:{2,5,6}:{(61,1),(63,1),(67,1)}
        79:{1,2,4,6}:{(62,1),(63,1),(64,1),(70,1),(86,1),(89,1),(90,1),(93,1),(100,1),(101,1)}
        80:{3,5,7}:{(64,1),(65,1),(69,1),(90,1),(91,1),(102,1)}
        81:{3,4}:{(65,1),(72,1),(88,1)}
        82:{1,2,5,7}:{(66,1),(67,1),(68,1),(89,1),(92,1)}
        83:{3,6,7}:{(68,1),(69,1),(90,1),(92,1)}
        84:{1,3,6}:{(70,1),(71,1),(90,1),(93,1)}
        85:{1,4,7}:{(71,1),(72,1),(91,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(80,1),(94,1),(95,1),(103,1)}
        88:{2,4}:{(75,1),(81,1)}
        89:{1,2,5,6}:{(77,1),(78,1),(79,1),(82,1),(96,1),(99,1),(103,1)}
        90:{3,6}:{(79,1),(80,1)}
        91:{3,4,7}:{(80,1),(81,1),(85,1),(95,1),(97,1),(98,1)}
        92:{3,5,7}:{(82,1),(83,1),(96,1),(98,1)}
        93:{1,4,6}:{(84,1),(85,1),(97,1),(99,1)}
        94:{2,3,6}:{(86,1),(87,1),(90,1),(100,1)}
        95:{2,4,7}:{(87,1),(88,1),(91,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(92,1),(101,1),(102,1)}
        97:{3,4,6}:{(90,1),(91,1),(93,1),(100,1),(101,1),(102,1)}
        98:{4,7}:{(92,1),(101,1)}
        99:{1,5}:{(93,1),(102,1)}
       100:{2,4,6}:{(94,1),(95,1),(97,1),(103,1)}
       101:{4,6}:{(96,1),(98,1),(104,1)}
       102:{3,5}:{(97,1),(99,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1462 :   0:{4,5,6,7}:{(3,1),(59,1),(226,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(6,1),(30,1),(109,1),(174,1),(211,1)}
         2:{1,3,4,5}:{(7,1),(8,1),(66,1),(71,1),(122,1)}
         3:{3,5,6,7}:{(0,1),(9,1),(10,1),(11,1),(221,1)}
         4:{3,4,5,7}:{(1,1),(9,1),(12,1),(13,1),(44,1),(82,1)}
         5:{1,4,5,6}:{(1,1),(12,1),(14,1),(152,1),(199,1)}
         6:{2,4,5,6}:{(1,1),(13,1),(15,1),(187,1),(216,1)}
         7:{1,3,4,6}:{(2,1),(14,1),(17,1),(18,1),(47,1)}
         8:{1,2,4,5}:{(2,1),(18,1),(19,1),(51,1),(88,1),(94,1)}
         9:{3,4,6,7}:{(3,1),(4,1),(22,1),(23,1),(58,1),(59,1),(211,1)}
        10:{1,5,6,7}:{(3,1),(22,1),(214,1)}
        11:{2,5,6,7}:{(3,1),(23,1),(224,1)}
        12:{1,4,5,7}:{(4,1),(5,1),(22,1),(25,1)}
        13:{2,4,5,7}:{(4,1),(6,1),(23,1),(26,1)}
        14:{1,3,5,6}:{(5,1),(7,1),(25,1),(28,1),(30,1),(122,1),(178,1)}
        15:{2,3,5,6}:{(6,1),(21,1),(26,1),(29,1),(30,1),(162,1),(204,1)}
        16:{1,2,4,5,6}:{(5,1),(6,1),(27,1),(28,1),(29,1),(30,1),(64,1),(65,1),(109,1),(115,1),(167,1),(168,1),(171,1)}
        17:{1,3,4,7}:{(7,1),(25,1),(31,1),(62,1)}
        18:{1,2,4,6}:{(7,1),(8,1),(28,1),(31,1),(32,1),(64,1)}
        19:{2,3,5}:{(8,1),(32,1),(34,1)}
        20:{2,3,4,5}:{(21,1),(35,1),(66,1),(127,1),(162,1)}
        21:{2,3,4,6}:{(15,1),(20,1),(36,1),(37,1),(47,1)}
        22:{1,4,6,7}:{(9,1),(10,1),(12,1),(38,1),(199,1)}
        23:{2,4,6,7}:{(9,1),(11,1),(13,1),(39,1),(216,1)}
        24:{1,2,5,6,7}:{(10,1),(11,1),(40,1),(41,1),(136,1),(137,1),(191,1)}
        25:{1,3,5,7}:{(12,1),(14,1),(17,1),(38,1),(42,1),(44,1)}
        26:{2,3,5,7}:{(13,1),(15,1),(36,1),(39,1),(43,1),(44,1)}
        27:{1,2,4,5,7}:{(12,1),(13,1),(16,1),(40,1),(42,1),(43,1),(44,1),(82,1),(84,1),(85,1),(136,1),(137,1)}
        28:{1,2,5,6}:{(14,1),(18,1),(42,1),(45,1),(94,1),(150,1)}
        29:{1,2,5,6}:{(15,1),(37,1),(43,1),(46,1),(133,1),(185,1)}
        30:{3,5,6}:{(16,1),(44,1),(47,1),(145,1),(195,1)}
        31:{1,2,4,7}:{(17,1),(18,1),(42,1),(48,1),(84,1)}
        32:{2,3,6}:{(18,1),(19,1),(48,1)}
        33:{1,2,3,5}:{(19,1),(49,1),(51,1),(94,1),(96,1)}
        34:{2,3,4}:{(19,1),(51,1)}
        35:{1,2,4,5}:{(20,1),(37,1),(53,1),(89,1),(99,1),(133,1)}
        36:{2,3,4,7}:{(21,1),(26,1),(54,1),(62,1)}
        37:{1,2,4,6}:{(21,1),(29,1),(35,1),(54,1),(55,1),(65,1)}
        38:{1,3,6,7}:{(22,1),(25,1),(56,1),(58,1),(178,1)}
        39:{2,3,6,7}:{(23,1),(26,1),(57,1),(58,1),(204,1)}
        40:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(27,1),(56,1),(57,1),(58,1),(59,1),(106,1),(107,1),(171,1)}
        41:{3,5,6,7}:{(24,1),(58,1),(59,1),(108,1),(209,1)}
        42:{1,2,5,7}:{(25,1),(28,1),(31,1),(56,1),(60,1)}
        43:{1,2,5,7}:{(26,1),(29,1),(54,1),(57,1),(61,1)}
        44:{3,5,7}:{(27,1),(30,1),(58,1),(62,1)}
        45:{2,3,5,6}:{(28,1),(30,1),(32,1),(60,1),(64,1),(70,1),(121,1),(167,1)}
        46:{1,3,5,6}:{(29,1),(30,1),(55,1),(61,1),(65,1),(104,1),(161,1),(168,1)}
        47:{3,4,6}:{(30,1),(62,1),(64,1),(65,1),(66,1)}
        48:{2,3,7}:{(31,1),(32,1)}
        49:{1,2,3,6}:{(32,1),(33,1),(67,1),(69,1),(125,1)}
        50:{2,3,4,6}:{(32,1),(34,1),(64,1),(68,1),(69,1),(70,1),(114,1),(121,1)}
        51:{1,2,4}:{(33,1),(34,1),(71,1)}
        52:{2,3,4,5}:{(34,1),(70,1),(72,1),(73,1),(174,1)}
        53:{1,3,5}:{(35,1),(55,1),(75,1)}
        54:{1,2,4,7}:{(36,1),(37,1),(43,1),(76,1),(85,1)}
        55:{1,3,6}:{(37,1),(53,1),(76,1)}
        56:{1,2,6,7}:{(38,1),(42,1),(79,1),(150,1)}
        57:{1,2,6,7}:{(39,1),(43,1),(80,1),(185,1)}
        58:{3,6,7}:{(40,1),(44,1),(195,1)}
        59:{4,6,7}:{(41,1),(82,1),(219,1)}
        60:{2,3,5,7}:{(42,1),(44,1),(45,1),(48,1),(79,1),(84,1),(136,1)}
        61:{1,3,5,7}:{(43,1),(44,1),(46,1),(76,1),(80,1),(85,1),(137,1)}
        62:{3,4,7}:{(44,1),(47,1),(84,1),(85,1)}
        63:{1,2,3,5,6}:{(45,1),(46,1),(49,1),(77,1),(83,1),(87,1),(94,1),(133,1),(145,1),(150,1),(153,1),(185,1),(188,1),(191,1),(195,1)}
        64:{2,4,6}:{(45,1),(47,1),(84,1),(88,1)}
        65:{1,4,6}:{(46,1),(47,1),(85,1),(89,1)}
        66:{3,4,5}:{(47,1),(88,1),(89,1),(145,1)}
        67:{1,2,3,7}:{(48,1),(49,1),(91,1),(155,1)}
        68:{2,3,4,7}:{(48,1),(50,1),(84,1),(91,1),(92,1),(140,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(51,1),(91,1),(93,1),(94,1),(150,1)}
        70:{2,3,5}:{(50,1),(88,1),(94,1),(145,1)}
        71:{1,3,4}:{(51,1),(96,1)}
        72:{1,2,4,5}:{(51,1),(52,1),(94,1),(96,1),(97,1),(152,1)}
        73:{2,3,4,6}:{(52,1),(95,1),(97,1),(98,1),(197,1)}
        74:{1,2,3,5}:{(53,1),(77,1),(99,1),(133,1),(156,1)}
        75:{1,3,4}:{(53,1),(99,1)}
        76:{1,3,7}:{(54,1),(55,1)}
        77:{1,2,3,6}:{(55,1),(74,1),(101,1),(103,1),(182,1)}
        78:{1,3,4,6}:{(55,1),(65,1),(75,1),(102,1),(103,1),(104,1),(114,1),(161,1)}
        79:{2,3,6,7}:{(56,1),(58,1),(60,1),(106,1),(121,1)}
        80:{1,3,6,7}:{(57,1),(58,1),(61,1),(107,1),(161,1)}
        81:{3,4,6,7}:{(58,1),(59,1),(62,1),(106,1),(107,1),(108,1),(113,1)}
        82:{4,5,7}:{(59,1),(108,1),(109,1)}
        83:{1,2,3,5,7}:{(60,1),(61,1),(63,1),(67,1),(101,1),(105,1),(110,1),(120,1),(160,1),(166,1),(170,1),(181,1),(207,1)}
        84:{2,4,7}:{(60,1),(62,1),(64,1)}
        85:{1,4,7}:{(61,1),(62,1),(65,1)}
        86:{3,4,5,7}:{(62,1),(66,1),(108,1),(111,1),(112,1),(113,1),(170,1),(208,1)}
        87:{1,2,4,6}:{(63,1),(64,1),(65,1),(110,1),(114,1),(115,1),(180,1),(206,1)}
        88:{2,4,5}:{(64,1),(66,1),(70,1)}
        89:{1,4,5}:{(65,1),(66,1),(104,1)}
        90:{3,4,5,6}:{(66,1),(113,1),(116,1),(117,1),(118,1),(175,1),(226,1)}
        91:{1,2,4,7}:{(67,1),(68,1),(69,1),(119,1),(120,1)}
        92:{2,3,5,7}:{(68,1),(70,1),(111,1),(120,1),(121,1),(170,1)}
        93:{1,3,4,6}:{(69,1),(71,1),(114,1),(119,1),(122,1),(125,1),(178,1),(180,1)}
        94:{1,2,5}:{(69,1),(70,1),(122,1)}
        95:{2,3,5,6}:{(70,1),(73,1),(116,1),(121,1),(123,1),(124,1),(175,1)}
        96:{1,3,5}:{(71,1),(72,1),(125,1)}
        97:{1,2,4,6}:{(72,1),(73,1),(123,1),(125,1),(126,1),(180,1)}
        98:{2,3,4,7}:{(73,1),(124,1),(126,1),(213,1)}
        99:{1,2,4}:{(74,1),(75,1),(127,1)}
       100:{1,3,4,5}:{(75,1),(104,1),(128,1),(129,1),(174,1)}
       101:{1,2,3,7}:{(76,1),(77,1),(130,1),(202,1)}
       102:{1,3,4,7}:{(76,1),(78,1),(85,1),(130,1),(131,1),(140,1)}
       103:{1,2,4,6}:{(77,1),(78,1),(99,1),(130,1),(132,1),(133,1),(185,1)}
       104:{1,3,5}:{(78,1),(89,1),(133,1),(145,1)}
       105:{1,2,3,6,7}:{(79,1),(80,1),(83,1),(135,1),(150,1),(185,1),(195,1),(200,1),(217,1)}
       106:{2,4,6,7}:{(79,1),(81,1),(84,1),(136,1),(142,1)}
       107:{1,4,6,7}:{(80,1),(81,1),(85,1),(137,1),(143,1)}
       108:{3,5,7}:{(81,1),(82,1),(136,1),(137,1),(138,1)}
       109:{4,5,6}:{(82,1),(138,1),(219,1)}
       110:{1,2,4,7}:{(83,1),(84,1),(85,1),(87,1),(140,1),(201,1),(218,1)}
       111:{2,4,5,7}:{(84,1),(86,1),(88,1),(92,1),(136,1),(142,1)}
       112:{1,4,5,7}:{(85,1),(86,1),(89,1),(131,1),(137,1),(143,1)}
       113:{3,4,6}:{(86,1),(138,1),(142,1),(143,1),(195,1),(219,1)}
       114:{3,4,6}:{(87,1),(140,1),(145,1),(195,1)}
       115:{1,2,4,5}:{(87,1),(88,1),(89,1),(94,1),(133,1),(145,1),(152,1),(187,1)}
       116:{2,4,5,6}:{(88,1),(90,1),(95,1),(142,1),(147,1)}
       117:{1,4,5,6}:{(89,1),(90,1),(134,1),(143,1),(148,1)}
       118:{3,4,5,7}:{(90,1),(144,1),(147,1),(148,1),(198,1),(230,1)}
       119:{1,3,4,7}:{(91,1),(93,1),(140,1),(149,1),(155,1),(201,1)}
       120:{1,2,5,7}:{(91,1),(92,1),(94,1),(149,1),(150,1)}
       121:{2,3,6}:{(92,1),(142,1),(150,1),(195,1)}
       122:{1,3,5}:{(93,1),(94,1),(145,1),(152,1)}
       123:{1,2,5,6}:{(94,1),(95,1),(97,1),(150,1),(153,1),(154,1)}
       124:{2,3,5,7}:{(95,1),(98,1),(147,1),(151,1),(154,1),(198,1)}
       125:{1,3,6}:{(96,1),(97,1),(155,1)}
       126:{1,2,4,7}:{(97,1),(98,1),(154,1),(155,1),(201,1)}
       127:{2,3,4}:{(99,1),(156,1)}
       128:{1,2,4,5}:{(99,1),(100,1),(133,1),(156,1),(157,1),(187,1)}
       129:{1,3,4,6}:{(100,1),(134,1),(157,1),(158,1),(197,1)}
       130:{1,2,4,7}:{(101,1),(102,1),(103,1),(159,1),(160,1)}
       131:{1,3,5,7}:{(102,1),(104,1),(112,1),(160,1),(161,1),(170,1)}
       132:{2,3,4,6}:{(103,1),(114,1),(127,1),(159,1),(162,1),(182,1),(204,1),(206,1)}
       133:{1,2,5}:{(103,1),(104,1),(162,1)}
       134:{1,3,5,6}:{(104,1),(117,1),(129,1),(161,1),(163,1),(164,1),(175,1)}
       135:{1,2,4,6,7}:{(105,1),(106,1),(107,1),(110,1),(165,1),(166,1),(171,1),(215,1),(225,1)}
       136:{2,5,7}:{(106,1),(108,1),(167,1)}
       137:{1,5,7}:{(107,1),(108,1),(168,1)}
       138:{3,5,6}:{(108,1),(109,1),(113,1),(167,1),(168,1)}
       139:{4,5,6,7}:{(109,1),(169,1),(227,1)}
       140:{3,4,7}:{(110,1),(114,1),(170,1)}
       141:{1,2,4,5,7}:{(110,1),(111,1),(112,1),(115,1),(120,1),(160,1),(166,1),(170,1),(171,1),(177,1),(203,1),(208,1)}
       142:{2,4,6}:{(111,1),(113,1),(121,1),(167,1)}
       143:{1,4,6}:{(112,1),(113,1),(161,1),(168,1)}
       144:{3,4,6,7}:{(113,1),(118,1),(169,1),(172,1),(173,1),(212,1),(227,1)}
       145:{3,5}:{(114,1),(115,1)}
       146:{1,2,4,5,6}:{(115,1),(116,1),(117,1),(123,1),(163,1),(171,1),(175,1),(176,1),(180,1),(206,1),(214,1),(224,1),(226,1)}
       147:{2,4,5,7}:{(116,1),(118,1),(124,1),(172,1)}
       148:{1,4,5,7}:{(117,1),(118,1),(164,1),(173,1)}
       149:{1,3,5,7}:{(119,1),(120,1),(122,1),(170,1),(177,1),(178,1)}
       150:{1,2,6}:{(120,1),(121,1),(178,1)}
       151:{2,3,6,7}:{(121,1),(124,1),(172,1),(179,1),(212,1)}
       152:{1,4,5}:{(122,1),(174,1),(180,1)}
       153:{1,3,5,6}:{(122,1),(123,1),(125,1),(175,1),(178,1),(180,1),(181,1),(214,1)}
       154:{1,2,5,7}:{(123,1),(124,1),(126,1),(179,1),(181,1)}
       155:{1,3,7}:{(125,1),(126,1)}
       156:{2,3,5}:{(127,1),(128,1),(182,1)}
       157:{1,2,4,6}:{(128,1),(129,1),(163,1),(182,1),(183,1),(206,1)}
       158:{1,3,4,7}:{(129,1),(164,1),(183,1),(213,1)}
       159:{2,3,4,7}:{(130,1),(132,1),(140,1),(184,1),(202,1),(218,1)}
       160:{1,2,5,7}:{(130,1),(131,1),(133,1),(184,1),(185,1)}
       161:{1,3,6}:{(131,1),(143,1),(185,1),(195,1)}
       162:{2,3,5}:{(132,1),(133,1),(145,1),(187,1)}
       163:{1,2,5,6}:{(133,1),(134,1),(157,1),(185,1),(188,1),(189,1)}
       164:{1,3,5,7}:{(134,1),(148,1),(158,1),(186,1),(189,1),(198,1)}
       165:{3,4,6,7}:{(135,1),(140,1),(190,1),(195,1),(219,1)}
       166:{1,2,5,7}:{(135,1),(136,1),(137,1),(190,1),(191,1),(223,1),(229,1)}
       167:{2,5,6}:{(136,1),(138,1),(142,1)}
       168:{1,5,6}:{(137,1),(138,1),(143,1)}
       169:{3,5,6,7}:{(138,1),(139,1),(144,1),(192,1),(193,1)}
       170:{3,5,7}:{(140,1),(141,1),(145,1),(195,1)}
       171:{1,2,4,6}:{(141,1),(142,1),(143,1),(150,1),(185,1),(191,1),(195,1),(199,1),(216,1),(219,1)}
       172:{2,4,6,7}:{(142,1),(144,1),(147,1),(151,1),(192,1)}
       173:{1,4,6,7}:{(143,1),(144,1),(148,1),(186,1),(193,1)}
       174:{3,4,5}:{(145,1),(152,1),(187,1),(197,1)}
       175:{3,5,6}:{(145,1),(146,1),(195,1),(197,1),(198,1)}
       176:{1,2,4,5,7}:{(146,1),(147,1),(148,1),(154,1),(189,1),(196,1),(198,1),(201,1),(218,1),(223,1),(229,1),(230,1)}
       177:{1,4,5,7}:{(149,1),(152,1),(194,1),(199,1),(201,1),(223,1)}
       178:{1,3,6}:{(149,1),(150,1),(195,1),(199,1)}
       179:{1,2,6,7}:{(150,1),(151,1),(154,1),(200,1)}
       180:{1,4,6}:{(152,1),(153,1),(197,1),(201,1)}
       181:{1,3,5,7}:{(153,1),(154,1),(155,1),(198,1),(200,1),(201,1),(223,1)}
       182:{2,3,6}:{(156,1),(157,1),(202,1)}
       183:{1,2,4,7}:{(157,1),(158,1),(189,1),(202,1),(218,1)}
       184:{2,3,5,7}:{(159,1),(160,1),(162,1),(170,1),(203,1),(204,1)}
       185:{1,2,6}:{(160,1),(161,1),(204,1)}
       186:{1,3,6,7}:{(161,1),(164,1),(173,1),(205,1),(212,1)}
       187:{2,4,5}:{(162,1),(174,1),(206,1)}
       188:{2,3,5,6}:{(162,1),(163,1),(175,1),(182,1),(204,1),(206,1),(207,1),(224,1)}
       189:{1,2,5,7}:{(163,1),(164,1),(183,1),(205,1),(207,1)}
       190:{3,5,7}:{(165,1),(166,1),(208,1),(209,1)}
       191:{1,2,5,6}:{(166,1),(167,1),(168,1),(171,1),(209,1),(214,1),(224,1)}
       192:{2,5,6,7}:{(167,1),(169,1),(172,1)}
       193:{1,5,6,7}:{(168,1),(169,1),(173,1)}
       194:{3,4,5,7}:{(170,1),(174,1),(177,1),(203,1),(208,1),(211,1),(213,1),(228,1)}
       195:{3,6}:{(170,1),(171,1)}
       196:{1,2,4,6,7}:{(171,1),(172,1),(173,1),(176,1),(179,1),(205,1),(210,1),(212,1),(215,1),(225,1),(227,1)}
       197:{3,4,6}:{(174,1),(175,1),(180,1),(206,1),(213,1)}
       198:{3,5,7}:{(175,1),(176,1),(212,1),(213,1)}
       199:{1,4,6}:{(177,1),(178,1),(211,1),(214,1)}
       200:{1,3,6,7}:{(178,1),(179,1),(181,1),(212,1),(215,1)}
       201:{1,4,7}:{(180,1),(181,1),(213,1)}
       202:{2,3,7}:{(182,1),(183,1)}
       203:{2,4,5,7}:{(184,1),(187,1),(194,1),(216,1),(218,1),(229,1)}
       204:{2,3,6}:{(184,1),(185,1),(195,1),(216,1)}
       205:{1,2,6,7}:{(185,1),(186,1),(189,1),(217,1)}
       206:{2,4,6}:{(187,1),(188,1),(197,1),(218,1)}
       207:{2,3,5,7}:{(188,1),(189,1),(198,1),(202,1),(217,1),(218,1),(229,1)}
       208:{4,5,7}:{(190,1),(219,1)}
       209:{3,5,6}:{(190,1),(191,1),(195,1),(219,1)}
       210:{1,2,5,6,7}:{(191,1),(192,1),(193,1),(196,1),(220,1),(223,1),(229,1)}
       211:{3,4,6}:{(194,1),(195,1),(199,1),(216,1),(219,1),(221,1)}
       212:{3,6,7}:{(195,1),(196,1),(198,1)}
       213:{3,4,7}:{(197,1),(198,1),(201,1),(218,1)}
       214:{1,5,6}:{(199,1),(221,1),(223,1)}
       215:{1,4,6,7}:{(199,1),(200,1),(201,1),(222,1),(223,1)}
       216:{2,4,6}:{(203,1),(204,1),(211,1),(224,1)}
       217:{2,3,6,7}:{(204,1),(205,1),(207,1),(212,1),(225,1)}
       218:{2,4,7}:{(206,1),(207,1),(213,1)}
       219:{4,6}:{(208,1),(209,1)}
       220:{3,5,6,7}:{(209,1),(210,1),(212,1),(227,1),(228,1)}
       221:{3,5,6}:{(211,1),(214,1),(224,1),(226,1),(228,1)}
       222:{3,4,6,7}:{(211,1),(212,1),(213,1),(215,1),(225,1),(227,1),(228,1)}
       223:{1,5,7}:{(214,1),(215,1),(228,1)}
       224:{2,5,6}:{(216,1),(221,1),(229,1)}
       225:{2,4,6,7}:{(216,1),(217,1),(218,1),(222,1),(229,1)}
       226:{4,5,6}:{(219,1),(221,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{3,5,7}:{(221,1),(222,1),(223,1),(229,1),(230,1)}
       229:{2,5,7}:{(224,1),(225,1),(228,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

1463 :   0:{1,3,4,5,7}:{(1,1),(2,1),(11,1),(41,1),(81,1),(85,1),(93,1),(124,1),(129,1),(132,1)}
         1:{1,3,4,6}:{(0,1),(6,1),(7,1),(69,1),(151,1),(156,1),(158,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(24,1),(27,1),(59,1),(66,1),(70,1)}
         3:{1,4,5,6,7}:{(9,1),(33,1),(172,1)}
         4:{1,3,4,6,7}:{(1,1),(11,1),(12,1),(33,1),(74,1),(81,1),(121,1)}
         5:{3,4,5,6}:{(10,1),(14,1),(15,1),(47,1),(137,1),(174,1)}
         6:{1,3,5,6}:{(1,1),(11,1),(14,1),(16,1),(47,1),(85,1),(170,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(48,1)}
         8:{2,3,5,7}:{(2,1),(17,1),(18,1),(49,1),(129,1)}
         9:{3,5,6,7}:{(3,1),(19,1),(21,1),(190,1)}
        10:{3,4,5,7}:{(5,1),(19,1),(22,1),(23,1),(58,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(22,1),(24,1),(58,1),(147,1)}
        12:{1,2,4,6,7}:{(4,1),(7,1),(24,1),(25,1),(59,1)}
        13:{1,2,3,5,7}:{(8,1),(26,1),(27,1),(63,1),(66,1)}
        14:{1,4,5,6}:{(5,1),(6,1),(22,1),(109,1),(151,1)}
        15:{2,4,5,6}:{(5,1),(23,1),(28,1),(161,1),(192,1)}
        16:{1,2,5,6}:{(6,1),(7,1),(24,1),(30,1),(66,1)}
        17:{2,3,6}:{(7,1),(8,1),(156,1)}
        18:{2,3,4,7}:{(8,1),(27,1),(31,1),(59,1),(101,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(33,1),(34,1),(74,1),(174,1)}
        20:{1,3,5,6,7}:{(9,1),(11,1),(33,1),(35,1),(74,1),(125,1)}
        21:{2,5,6,7}:{(9,1),(34,1),(202,1)}
        22:{1,4,5,7}:{(10,1),(11,1),(14,1),(33,1)}
        23:{2,4,5,7}:{(10,1),(15,1),(34,1),(37,1)}
        24:{1,2,5,7}:{(11,1),(12,1),(16,1),(39,1)}
        25:{2,3,6,7}:{(12,1),(17,1),(39,1),(74,1)}
        26:{1,2,3,6}:{(13,1),(17,1),(44,1),(86,1)}
        27:{1,2,4,7}:{(13,1),(18,1),(41,1),(44,1)}
        28:{2,3,5,6}:{(15,1),(37,1),(42,1),(46,1),(47,1),(141,1),(177,1)}
        29:{1,2,4,5,6}:{(14,1),(15,1),(16,1),(38,1),(46,1),(47,1),(48,1),(89,1),(92,1),(123,1),(130,1),(170,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(39,1),(47,1),(48,1),(49,1)}
        31:{2,3,4,6}:{(17,1),(18,1),(44,1),(48,1),(49,1),(88,1)}
        32:{2,3,4,5,7}:{(18,1),(45,1),(49,1),(50,1),(82,1),(95,1),(129,1),(137,1),(173,1),(185,1)}
        33:{1,4,6,7}:{(19,1),(20,1),(22,1),(151,1)}
        34:{2,4,6,7}:{(19,1),(21,1),(23,1),(51,1),(192,1)}
        35:{1,2,5,6,7}:{(20,1),(21,1),(24,1),(52,1),(53,1),(103,1),(147,1)}
        36:{1,2,3,6,7}:{(25,1),(26,1),(55,1),(56,1),(96,1),(111,1),(156,1),(194,1),(195,1)}
        37:{2,3,5,7}:{(23,1),(28,1),(51,1),(54,1),(57,1),(58,1)}
        38:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(29,1),(52,1),(57,1),(58,1),(59,1),(98,1),(104,1),(147,1)}
        39:{2,3,5,7}:{(24,1),(25,1),(30,1),(58,1),(59,1)}
        40:{2,3,4,6,7}:{(25,1),(31,1),(56,1),(59,1),(60,1),(97,1),(101,1),(106,1),(156,1)}
        41:{1,3,4,7}:{(27,1),(62,1),(63,1),(101,1),(164,1)}
        42:{2,3,4,6}:{(28,1),(54,1),(61,1),(64,1),(69,1)}
        43:{1,2,3,5,6}:{(26,1),(30,1),(55,1),(65,1),(66,1),(68,1),(103,1),(110,1),(112,1),(115,1),(156,1),(165,1),(166,1),(194,1)}
        44:{1,2,4,6}:{(26,1),(27,1),(31,1),(62,1),(66,1)}
        45:{1,2,4,5,7}:{(27,1),(32,1),(63,1),(66,1),(67,1),(109,1),(117,1),(164,1)}
        46:{1,2,5,6}:{(28,1),(57,1),(64,1),(68,1),(165,1),(194,1)}
        47:{3,5,6}:{(29,1),(58,1),(69,1),(115,1),(156,1)}
        48:{2,4,6}:{(30,1),(59,1),(69,1),(70,1)}
        49:{2,3,5}:{(31,1),(66,1),(70,1),(115,1)}
        50:{2,3,4,6}:{(32,1),(67,1),(71,1),(106,1),(156,1),(163,1),(192,1)}
        51:{2,3,6,7}:{(34,1),(37,1),(73,1),(74,1),(177,1)}
        52:{1,2,4,6,7}:{(33,1),(34,1),(35,1),(38,1),(73,1),(74,1),(75,1),(121,1),(130,1)}
        53:{2,3,5,6,7}:{(35,1),(39,1),(74,1),(75,1),(83,1),(122,1)}
        54:{2,3,4,7}:{(37,1),(42,1),(77,1),(81,1)}
        55:{1,2,3,5,7}:{(36,1),(39,1),(43,1),(78,1),(79,1),(80,1),(126,1),(129,1),(139,1),(176,1),(187,1)}
        56:{1,2,4,6,7}:{(36,1),(40,1),(44,1),(76,1),(78,1),(79,1),(121,1),(130,1),(204,1)}
        57:{1,2,5,7}:{(37,1),(46,1),(73,1),(77,1),(80,1)}
        58:{3,5,7}:{(38,1),(47,1),(74,1),(81,1)}
        59:{2,4,7}:{(39,1),(48,1),(81,1)}
        60:{2,3,5,7}:{(40,1),(49,1),(79,1),(82,1),(83,1),(122,1),(129,1)}
        61:{2,3,4,5}:{(42,1),(84,1),(93,1),(141,1),(181,1)}
        62:{1,3,4,6}:{(41,1),(44,1),(85,1),(86,1),(88,1),(138,1)}
        63:{1,3,5,7}:{(41,1),(45,1),(85,1),(86,1),(129,1)}
        64:{1,2,4,6}:{(42,1),(46,1),(77,1),(84,1),(87,1),(92,1)}
        65:{1,2,4,6}:{(43,1),(48,1),(78,1),(88,1),(89,1),(92,1),(138,1),(183,1)}
        66:{1,2,5}:{(44,1),(49,1),(85,1)}
        67:{1,2,4,6}:{(45,1),(50,1),(86,1),(90,1),(138,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(80,1),(87,1),(92,1),(142,1),(170,1),(178,1)}
        69:{3,4,6}:{(47,1),(48,1),(81,1),(92,1),(93,1)}
        70:{2,4,5}:{(48,1),(49,1),(93,1)}
        71:{2,3,5,6}:{(49,1),(50,1),(90,1),(94,1),(95,1),(143,1),(202,1)}
        72:{2,3,4,6,7}:{(50,1),(91,1),(95,1),(134,1),(179,1),(185,1),(204,1)}
        73:{1,2,6,7}:{(51,1),(57,1),(96,1),(194,1)}
        74:{3,6,7}:{(52,1),(58,1),(156,1)}
        75:{2,4,6,7}:{(53,1),(59,1),(97,1),(98,1),(106,1)}
        76:{1,3,4,6,7}:{(56,1),(62,1),(99,1),(101,1),(111,1),(151,1),(156,1),(164,1),(193,1)}
        77:{1,2,4,7}:{(54,1),(57,1),(64,1),(100,1),(104,1)}
        78:{1,2,4,7}:{(55,1),(59,1),(65,1),(101,1),(104,1),(164,1),(199,1)}
        79:{1,2,5,7}:{(56,1),(60,1),(66,1),(99,1),(103,1),(147,1),(208,1)}
        80:{1,3,5,7}:{(57,1),(58,1),(68,1),(96,1),(100,1),(104,1),(147,1)}
        81:{3,4,7}:{(58,1),(59,1),(69,1),(104,1)}
        82:{2,4,5,7}:{(59,1),(60,1),(70,1),(105,1),(106,1)}
        83:{2,3,5,6}:{(60,1),(103,1),(106,1),(148,1),(156,1)}
        84:{1,2,4,5}:{(61,1),(64,1),(108,1),(118,1),(160,1),(165,1)}
        85:{1,3,5}:{(62,1),(66,1),(109,1),(115,1)}
        86:{1,3,6}:{(63,1),(67,1),(156,1)}
        87:{1,3,6}:{(64,1),(100,1),(108,1)}
        88:{3,4,6}:{(65,1),(101,1),(115,1),(156,1)}
        89:{1,2,4,5}:{(65,1),(66,1),(70,1),(109,1),(115,1),(118,1),(161,1),(165,1)}
        90:{1,2,5,6}:{(66,1),(67,1),(71,1),(110,1),(117,1)}
        91:{1,2,4,6,7}:{(67,1),(72,1),(111,1),(117,1),(164,1)}
        92:{1,4,6}:{(68,1),(69,1),(104,1),(118,1)}
        93:{3,4,5}:{(69,1),(70,1),(115,1),(118,1)}
        94:{2,4,5,6}:{(70,1),(71,1),(106,1),(119,1),(120,1)}
        95:{2,3,5,7}:{(71,1),(72,1),(117,1),(120,1),(168,1),(208,1)}
        96:{1,3,6,7}:{(73,1),(74,1),(80,1),(121,1),(178,1)}
        97:{3,4,6,7}:{(74,1),(75,1),(81,1),(121,1),(122,1),(133,1)}
        98:{2,4,5,7}:{(75,1),(122,1),(123,1)}
        99:{1,3,5,7}:{(76,1),(79,1),(85,1),(124,1),(125,1),(129,1),(203,1)}
       100:{1,3,7}:{(77,1),(87,1)}
       101:{3,4,7}:{(78,1),(88,1),(129,1)}
       102:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(89,1),(124,1),(129,1),(130,1),(132,1),(173,1),(176,1)}
       103:{1,2,5,6}:{(79,1),(83,1),(125,1),(130,1),(170,1),(202,1)}
       104:{1,4,7}:{(80,1),(81,1),(92,1)}
       105:{3,4,5,7}:{(81,1),(82,1),(93,1),(122,1),(129,1),(132,1),(133,1)}
       106:{2,4,6}:{(82,1),(83,1),(133,1)}
       107:{2,3,5,6,7}:{(83,1),(95,1),(131,1),(134,1),(171,1),(179,1)}
       108:{1,3,5}:{(84,1),(87,1),(136,1)}
       109:{1,4,5}:{(85,1),(137,1),(138,1)}
       110:{1,3,5,6}:{(85,1),(86,1),(90,1),(138,1),(139,1),(143,1)}
       111:{1,3,6,7}:{(86,1),(91,1),(139,1),(179,1)}
       112:{1,2,3,6}:{(87,1),(126,1),(135,1),(140,1),(206,1)}
       113:{2,3,4,6}:{(88,1),(127,1),(140,1),(141,1),(177,1),(181,1),(183,1),(206,1)}
       114:{1,3,4,6}:{(87,1),(88,1),(92,1),(128,1),(136,1),(140,1),(142,1),(178,1)}
       115:{3,5}:{(88,1),(89,1)}
       116:{1,2,4,5,6}:{(89,1),(90,1),(94,1),(130,1),(138,1),(143,1),(144,1),(145,1),(172,1),(183,1),(186,1),(202,1)}
       117:{1,2,5,7}:{(90,1),(91,1),(95,1),(139,1)}
       118:{1,4,5}:{(92,1),(93,1),(142,1)}
       119:{3,4,5,6}:{(93,1),(94,1),(133,1),(143,1),(145,1),(146,1)}
       120:{2,4,5,7}:{(94,1),(95,1),(134,1),(146,1)}
       121:{1,4,6,7}:{(96,1),(97,1),(104,1),(147,1),(158,1)}
       122:{3,5,7}:{(97,1),(98,1),(147,1),(148,1)}
       123:{2,4,5,6}:{(98,1),(106,1),(148,1)}
       124:{1,4,5,7}:{(99,1),(109,1),(150,1),(151,1),(164,1)}
       125:{1,3,5,6}:{(99,1),(103,1),(151,1),(156,1),(190,1)}
       126:{1,2,3,7}:{(100,1),(112,1),(153,1),(209,1)}
       127:{2,3,4,7}:{(101,1),(113,1),(153,1),(154,1),(199,1),(209,1)}
       128:{1,3,4,7}:{(100,1),(101,1),(104,1),(114,1),(153,1),(155,1)}
       129:{3,5,7}:{(101,1),(102,1),(115,1),(156,1)}
       130:{1,2,4,6}:{(102,1),(103,1),(106,1),(151,1),(156,1),(158,1),(192,1),(194,1)}
       131:{1,2,5,6,7}:{(103,1),(107,1),(117,1),(152,1),(157,1),(189,1),(208,1)}
       132:{1,4,5,7}:{(104,1),(105,1),(118,1),(147,1),(155,1),(158,1)}
       133:{3,4,6}:{(105,1),(106,1),(148,1),(156,1),(158,1)}
       134:{2,4,6,7}:{(106,1),(107,1),(120,1),(159,1)}
       135:{1,2,3,5}:{(108,1),(112,1),(160,1),(165,1),(197,1)}
       136:{1,3,4}:{(108,1),(160,1)}
       137:{3,4,5}:{(109,1),(115,1),(161,1),(163,1)}
       138:{1,4,6}:{(109,1),(110,1),(163,1),(164,1)}
       139:{1,3,5,7}:{(110,1),(111,1),(117,1),(164,1),(168,1)}
       140:{1,2,4,6}:{(112,1),(113,1),(114,1),(153,1),(160,1),(165,1),(194,1)}
       141:{2,3,5}:{(113,1),(115,1),(161,1),(165,1)}
       142:{1,3,5}:{(114,1),(115,1),(118,1),(165,1)}
       143:{3,5,6}:{(115,1),(116,1),(156,1),(163,1),(168,1)}
       144:{1,2,4,5,7}:{(116,1),(117,1),(120,1),(157,1),(164,1),(168,1),(169,1),(191,1),(199,1),(201,1),(208,1)}
       145:{1,4,5,6}:{(118,1),(119,1),(158,1),(167,1),(169,1)}
       146:{3,4,5,7}:{(119,1),(120,1),(159,1),(168,1),(169,1)}
       147:{1,5,7}:{(121,1),(122,1),(170,1)}
       148:{3,5,6}:{(122,1),(123,1),(133,1),(170,1)}
       149:{2,4,5,6,7}:{(123,1),(134,1),(171,1)}
       150:{3,4,5,7}:{(124,1),(129,1),(137,1),(173,1),(174,1),(185,1),(203,1)}
       151:{1,4,6}:{(124,1),(125,1),(174,1)}
       152:{1,3,5,6,7}:{(125,1),(131,1),(139,1),(175,1),(179,1),(203,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(128,1),(140,1),(176,1)}
       154:{2,3,5,7}:{(127,1),(129,1),(141,1),(173,1),(176,1),(177,1)}
       155:{1,3,5,7}:{(128,1),(129,1),(132,1),(142,1),(176,1),(178,1)}
       156:{3,6}:{(129,1),(130,1)}
       157:{1,2,4,6,7}:{(130,1),(131,1),(134,1),(144,1),(175,1),(179,1),(180,1),(204,1),(205,1)}
       158:{1,4,6}:{(132,1),(133,1),(170,1),(178,1)}
       159:{3,4,6,7}:{(133,1),(134,1),(146,1),(171,1),(179,1),(180,1)}
       160:{1,2,4}:{(135,1),(136,1),(181,1)}
       161:{2,4,5}:{(137,1),(141,1),(183,1)}
       162:{1,3,4,5}:{(136,1),(137,1),(142,1),(182,1),(184,1)}
       163:{3,4,6}:{(137,1),(138,1),(143,1),(183,1),(185,1)}
       164:{1,4,7}:{(138,1),(139,1),(185,1)}
       165:{1,2,5}:{(140,1),(141,1),(142,1)}
       166:{2,3,5,6}:{(141,1),(143,1),(177,1),(183,1),(186,1),(187,1),(202,1),(206,1)}
       167:{1,3,5,6}:{(142,1),(143,1),(145,1),(178,1),(184,1),(186,1),(188,1)}
       168:{3,5,7}:{(143,1),(144,1),(179,1),(185,1)}
       169:{1,4,5,7}:{(145,1),(146,1),(180,1),(188,1)}
       170:{1,5,6}:{(147,1),(148,1),(158,1)}
       171:{3,5,6,7}:{(148,1),(149,1),(159,1),(189,1)}
       172:{1,4,5,6}:{(151,1),(190,1),(191,1)}
       173:{2,4,5,7}:{(150,1),(154,1),(161,1),(192,1),(199,1),(208,1)}
       174:{3,4,6}:{(150,1),(151,1),(156,1),(190,1),(192,1)}
       175:{1,4,6,7}:{(151,1),(152,1),(164,1),(191,1),(193,1)}
       176:{1,2,5,7}:{(153,1),(154,1),(155,1),(165,1),(194,1)}
       177:{2,3,6}:{(154,1),(156,1),(192,1),(194,1)}
       178:{1,3,6}:{(155,1),(156,1),(158,1),(194,1)}
       179:{3,6,7}:{(156,1),(157,1),(168,1)}
       180:{1,4,6,7}:{(158,1),(159,1),(169,1),(189,1),(196,1)}
       181:{2,3,4}:{(160,1),(197,1)}
       182:{1,2,4,5}:{(160,1),(161,1),(162,1),(165,1),(197,1),(198,1)}
       183:{2,4,6}:{(161,1),(163,1),(166,1),(199,1)}
       184:{1,3,4,6}:{(162,1),(163,1),(167,1),(198,1),(200,1)}
       185:{3,4,7}:{(163,1),(164,1),(168,1),(199,1)}
       186:{1,2,5,6}:{(165,1),(166,1),(167,1),(194,1),(198,1),(201,1)}
       187:{2,3,5,7}:{(166,1),(168,1),(195,1),(199,1),(201,1),(208,1),(209,1)}
       188:{1,3,5,7}:{(167,1),(168,1),(169,1),(196,1),(200,1),(201,1)}
       189:{1,5,6,7}:{(170,1),(171,1),(180,1)}
       190:{3,5,6}:{(172,1),(174,1),(202,1),(203,1)}
       191:{1,4,5,7}:{(172,1),(175,1),(203,1)}
       192:{2,4,6}:{(173,1),(174,1),(177,1),(202,1)}
       193:{3,4,6,7}:{(174,1),(175,1),(179,1),(185,1),(203,1),(204,1)}
       194:{1,2,6}:{(176,1),(177,1),(178,1)}
       195:{2,3,6,7}:{(177,1),(179,1),(187,1),(204,1),(205,1)}
       196:{1,3,6,7}:{(178,1),(179,1),(180,1),(188,1),(205,1)}
       197:{2,3,5}:{(181,1),(182,1),(206,1)}
       198:{1,2,4,6}:{(182,1),(183,1),(184,1),(186,1),(206,1),(207,1)}
       199:{2,4,7}:{(183,1),(185,1),(187,1)}
       200:{1,3,4,7}:{(184,1),(185,1),(188,1),(207,1)}
       201:{1,2,5,7}:{(186,1),(187,1),(188,1),(205,1),(207,1)}
       202:{2,5,6}:{(190,1),(192,1),(208,1)}
       203:{3,5,7}:{(190,1),(191,1),(193,1),(208,1)}
       204:{2,4,6,7}:{(192,1),(193,1),(195,1),(199,1),(208,1)}
       205:{1,2,6,7}:{(194,1),(195,1),(196,1),(201,1)}
       206:{2,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,2,4,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       208:{2,5,7}:{(202,1),(203,1),(204,1)}
       209:{2,3,7}:{(206,1),(207,1)}

1464 :   0:{1,2,3,4}:{(1,1)}
         1:{1,2,3,5}:{(0,1),(4,1),(5,1)}
         2:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(20,1),(24,1),(81,1),(84,1)}
         3:{2,3,4,5}:{(4,1),(8,1),(22,1)}
         4:{1,2,4,5}:{(1,1),(3,1),(9,1),(10,1)}
         5:{1,2,3,6}:{(1,1),(10,1),(12,1)}
         6:{1,2,3,5}:{(2,1),(13,1)}
         7:{1,2,3,4,7}:{(2,1),(12,1),(14,1),(32,1),(95,1)}
         8:{2,3,4,6}:{(3,1),(10,1),(15,1),(16,1),(31,1)}
         9:{1,3,4,5}:{(4,1),(17,1),(22,1)}
        10:{1,2,4,6}:{(4,1),(5,1),(8,1),(17,1),(18,1),(19,1)}
        11:{1,2,3,5,6}:{(5,1),(6,1),(18,1),(20,1),(21,1),(24,1),(43,1),(52,1),(76,1),(81,1)}
        12:{1,2,3,7}:{(5,1),(19,1)}
        13:{1,2,4,5}:{(6,1),(20,1),(22,1)}
        14:{1,2,3,5,7}:{(6,1),(7,1),(23,1),(24,1)}
        15:{2,3,5,6}:{(8,1),(18,1),(25,1),(26,1),(43,1)}
        16:{2,3,4,7}:{(8,1),(19,1),(26,1),(48,1)}
        17:{1,3,4,6}:{(9,1),(10,1),(27,1),(28,1),(31,1)}
        18:{1,2,5,6}:{(10,1),(15,1),(27,1),(30,1)}
        19:{1,2,4,7}:{(10,1),(12,1),(16,1),(28,1),(30,1)}
        20:{1,2,4,6}:{(11,1),(13,1),(31,1),(32,1)}
        21:{1,2,3,5,7}:{(11,1),(12,1),(30,1),(32,1),(33,1),(61,1),(67,1),(91,1),(95,1)}
        22:{3,4,5}:{(13,1),(31,1)}
        23:{1,2,4,5,7}:{(13,1),(14,1),(32,1),(36,1),(37,1),(67,1)}
        24:{1,2,3,6}:{(14,1),(37,1)}
        25:{2,4,5,6}:{(15,1),(38,1),(39,1)}
        26:{2,3,5,7}:{(15,1),(16,1),(30,1),(39,1),(40,1),(61,1)}
        27:{1,3,5,6}:{(17,1),(18,1),(41,1),(42,1),(43,1)}
        28:{1,3,4,7}:{(17,1),(19,1),(42,1),(48,1)}
        29:{1,2,4,5,6}:{(18,1),(20,1),(25,1),(41,1),(43,1),(44,1),(52,1),(53,1),(73,1),(76,1),(85,1)}
        30:{1,2,5,7}:{(18,1),(19,1),(26,1),(42,1),(45,1)}
        31:{3,4,6}:{(20,1),(22,1),(43,1),(48,1)}
        32:{1,2,4,7}:{(20,1),(21,1),(48,1)}
        33:{1,2,3,6,7}:{(21,1),(24,1),(45,1),(49,1),(79,1),(101,1)}
        34:{1,3,4,5}:{(22,1),(46,1),(50,1)}
        35:{2,3,4,5}:{(22,1),(47,1),(50,1)}
        36:{3,4,5,7}:{(22,1),(23,1),(48,1),(51,1),(83,1)}
        37:{1,2,4,6}:{(23,1),(24,1),(51,1),(52,1)}
        38:{3,4,5,6}:{(25,1),(43,1),(53,1),(54,1),(85,1)}
        39:{2,4,5,7}:{(25,1),(26,1),(54,1),(55,1)}
        40:{2,3,6,7}:{(26,1),(45,1),(55,1),(79,1)}
        41:{1,4,5,6}:{(27,1),(56,1),(57,1)}
        42:{1,3,5,7}:{(27,1),(28,1),(30,1),(57,1),(58,1),(61,1)}
        43:{3,5,6}:{(29,1),(31,1),(61,1)}
        44:{1,2,4,5,7}:{(29,1),(30,1),(32,1),(39,1),(57,1),(61,1),(62,1),(67,1),(70,1),(88,1),(91,1),(96,1)}
        45:{1,2,6,7}:{(30,1),(40,1),(58,1)}
        46:{1,3,4,6}:{(31,1),(34,1),(59,1),(63,1),(64,1)}
        47:{2,3,4,6}:{(31,1),(35,1),(60,1),(63,1),(65,1)}
        48:{3,4,7}:{(31,1),(32,1),(61,1)}
        49:{1,2,4,6,7}:{(32,1),(33,1),(37,1),(66,1),(67,1)}
        50:{1,2,4,5}:{(34,1),(35,1),(63,1),(68,1)}
        51:{3,4,6}:{(36,1),(37,1),(69,1)}
        52:{1,2,5,6}:{(37,1),(67,1),(69,1)}
        53:{1,4,5,6}:{(38,1),(59,1),(70,1)}
        54:{3,4,5,7}:{(38,1),(39,1),(61,1),(70,1),(71,1),(96,1)}
        55:{2,4,6,7}:{(39,1),(40,1),(71,1),(72,1)}
        56:{3,4,5,6}:{(41,1),(43,1),(73,1),(74,1),(85,1)}
        57:{1,4,5,7}:{(41,1),(42,1),(74,1),(75,1)}
        58:{1,3,6,7}:{(42,1),(45,1),(75,1),(79,1)}
        59:{1,3,5,6}:{(43,1),(46,1),(53,1),(76,1),(77,1)}
        60:{2,3,5,6}:{(43,1),(47,1),(73,1),(76,1),(78,1)}
        61:{3,5,7}:{(43,1),(44,1),(48,1),(79,1)}
        62:{1,2,4,6,7}:{(44,1),(45,1),(55,1),(75,1),(79,1),(80,1),(86,1),(99,1),(101,1),(102,1)}
        63:{1,2,4,6}:{(46,1),(47,1),(50,1),(76,1),(81,1),(82,1)}
        64:{1,3,4,7}:{(46,1),(48,1),(77,1),(82,1)}
        65:{2,3,4,7}:{(47,1),(48,1),(78,1),(82,1)}
        66:{3,4,6,7}:{(48,1),(49,1),(51,1),(79,1),(83,1),(102,1)}
        67:{1,2,5,7}:{(49,1),(52,1),(83,1)}
        68:{1,2,3,5}:{(50,1),(81,1),(84,1)}
        69:{3,5,6}:{(51,1),(52,1),(83,1),(85,1)}
        70:{1,4,5,7}:{(53,1),(54,1),(77,1),(86,1)}
        71:{3,4,6,7}:{(54,1),(55,1),(79,1),(86,1),(87,1),(102,1)}
        72:{2,5,6,7}:{(55,1),(87,1)}
        73:{2,4,5,6}:{(56,1),(60,1),(88,1)}
        74:{3,4,5,7}:{(56,1),(57,1),(61,1),(88,1),(89,1),(96,1)}
        75:{1,4,6,7}:{(57,1),(58,1),(89,1),(90,1)}
        76:{1,2,5,6}:{(59,1),(60,1),(63,1),(91,1)}
        77:{1,3,5,7}:{(59,1),(61,1),(64,1),(70,1),(91,1),(92,1)}
        78:{2,3,5,7}:{(60,1),(61,1),(65,1),(88,1),(91,1),(93,1)}
        79:{3,6,7}:{(61,1),(62,1)}
        80:{1,2,5,6,7}:{(62,1),(67,1),(72,1),(90,1),(94,1),(97,1),(103,1)}
        81:{1,2,3,6}:{(63,1),(68,1),(95,1)}
        82:{1,2,4,7}:{(63,1),(64,1),(65,1),(91,1),(95,1)}
        83:{3,5,7}:{(66,1),(67,1),(69,1),(96,1)}
        84:{1,2,3,4}:{(68,1)}
        85:{4,5,6}:{(69,1),(96,1)}
        86:{1,4,6,7}:{(70,1),(71,1),(92,1),(97,1)}
        87:{3,5,6,7}:{(71,1),(72,1),(97,1),(98,1)}
        88:{2,4,5,7}:{(73,1),(74,1),(78,1),(99,1)}
        89:{3,4,6,7}:{(74,1),(75,1),(79,1),(99,1),(100,1),(102,1)}
        90:{1,5,6,7}:{(75,1),(100,1)}
        91:{1,2,5,7}:{(76,1),(77,1),(78,1),(82,1),(101,1)}
        92:{1,3,6,7}:{(77,1),(79,1),(86,1),(101,1)}
        93:{2,3,6,7}:{(78,1),(79,1),(99,1),(101,1)}
        94:{3,5,6,7}:{(79,1),(80,1),(83,1),(102,1)}
        95:{1,2,3,7}:{(81,1),(82,1)}
        96:{4,5,7}:{(83,1),(85,1),(102,1)}
        97:{1,5,6,7}:{(86,1),(87,1)}
        98:{4,5,6,7}:{(87,1),(102,1)}
        99:{2,4,6,7}:{(88,1),(89,1),(93,1),(103,1)}
       100:{3,5,6,7}:{(89,1),(90,1),(103,1),(104,1)}
       101:{1,2,6,7}:{(91,1),(92,1),(93,1)}
       102:{4,6,7}:{(94,1),(96,1)}
       103:{2,5,6,7}:{(99,1),(100,1)}
       104:{4,5,6,7}:{(100,1),(102,1)}

1465 :   0:{1,3,4,6,7}:{(2,1),(3,1),(16,1),(35,1),(39,1),(41,1),(65,1),(70,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(18,1),(37,1),(39,1),(41,1),(66,1),(71,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(6,1),(24,1),(25,1),(51,1),(53,1),(80,1),(84,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(26,1),(50,1),(82,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(9,1),(10,1),(26,1),(52,1),(83,1)}
         5:{1,2,3,6,7}:{(2,1),(13,1),(41,1),(65,1),(66,1),(76,1),(95,1),(101,1)}
         6:{1,2,5,7}:{(2,1),(3,1),(4,1),(14,1),(67,1),(68,1),(94,1)}
         7:{1,3,5,6}:{(3,1),(14,1),(16,1),(41,1),(44,1)}
         8:{1,4,5,7}:{(3,1),(16,1),(17,1),(89,1),(92,1)}
         9:{2,3,5,6}:{(4,1),(14,1),(18,1),(41,1),(46,1)}
        10:{2,4,5,7}:{(4,1),(18,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(7,1),(20,1),(21,1),(49,1),(50,1),(78,1)}
        12:{2,3,5,6,7}:{(9,1),(20,1),(22,1),(49,1),(52,1),(79,1)}
        13:{1,2,3,5,7}:{(5,1),(6,1),(23,1),(24,1),(26,1),(61,1),(78,1),(79,1),(85,1),(99,1)}
        14:{1,2,5,6}:{(6,1),(7,1),(9,1),(25,1),(62,1),(63,1)}
        15:{1,2,4,5,7}:{(6,1),(8,1),(10,1),(24,1),(25,1),(26,1),(29,1),(32,1),(54,1),(61,1),(97,1),(98,1)}
        16:{1,4,6}:{(7,1),(8,1),(28,1)}
        17:{3,4,5,7}:{(8,1),(26,1),(28,1),(29,1),(50,1),(77,1),(81,1)}
        18:{2,4,6}:{(9,1),(10,1),(31,1)}
        19:{3,4,5,7}:{(10,1),(26,1),(31,1),(32,1),(52,1),(77,1),(81,1)}
        20:{1,2,5,6,7}:{(11,1),(12,1),(14,1),(33,1),(67,1),(68,1),(91,1)}
        21:{1,4,6,7}:{(11,1),(16,1),(34,1),(35,1),(89,1)}
        22:{2,4,6,7}:{(12,1),(18,1),(36,1),(37,1),(90,1)}
        23:{1,2,3,5,6}:{(13,1),(14,1),(38,1),(41,1),(69,1),(74,1),(75,1),(76,1),(94,1),(95,1)}
        24:{1,2,4,7}:{(13,1),(38,1),(39,1),(89,1),(90,1),(103,1)}
        25:{1,2,4,6}:{(14,1),(15,1),(16,1),(18,1),(41,1),(45,1),(47,1),(76,1)}
        26:{3,5,7}:{(15,1),(39,1),(41,1),(69,1),(101,1),(102,1)}
        27:{1,4,5,6}:{(16,1),(34,1),(44,1)}
        28:{3,4,6}:{(16,1),(17,1),(41,1),(44,1),(45,1)}
        29:{2,4,5,7}:{(17,1),(43,1),(45,1),(67,1),(90,1),(93,1)}
        30:{2,4,5,6}:{(18,1),(36,1),(46,1)}
        31:{3,4,6}:{(18,1),(19,1),(41,1),(46,1),(47,1)}
        32:{1,4,5,7}:{(19,1),(42,1),(47,1),(68,1),(89,1),(92,1)}
        33:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(25,1),(48,1),(49,1),(51,1),(53,1),(80,1),(97,1)}
        34:{1,4,5,7}:{(21,1),(27,1),(50,1)}
        35:{3,4,6,7}:{(21,1),(28,1),(49,1),(50,1),(51,1),(77,1)}
        36:{2,4,5,7}:{(22,1),(30,1),(52,1)}
        37:{3,4,6,7}:{(22,1),(31,1),(49,1),(52,1),(53,1),(77,1)}
        38:{1,2,4,6}:{(23,1),(24,1),(54,1),(55,1),(86,1),(87,1)}
        39:{3,4,7}:{(24,1),(26,1),(55,1),(104,1)}
        40:{1,2,4,5,6}:{(25,1),(27,1),(30,1),(48,1),(54,1),(58,1),(62,1),(63,1),(86,1),(87,1),(88,1)}
        41:{3,6}:{(25,1),(26,1)}
        42:{1,3,5,7}:{(26,1),(32,1),(56,1),(59,1),(61,1),(82,1)}
        43:{2,3,5,7}:{(26,1),(29,1),(57,1),(60,1),(61,1),(83,1)}
        44:{3,5,6}:{(27,1),(28,1),(50,1),(62,1)}
        45:{2,4,6}:{(28,1),(29,1),(60,1),(62,1)}
        46:{3,5,6}:{(30,1),(31,1),(52,1),(63,1)}
        47:{1,4,6}:{(31,1),(32,1),(59,1),(63,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(64,1),(67,1),(68,1),(89,1),(90,1),(91,1)}
        49:{3,6,7}:{(33,1),(41,1),(64,1),(101,1)}
        50:{3,5,7}:{(34,1),(35,1),(44,1),(67,1)}
        51:{2,4,6,7}:{(35,1),(45,1),(66,1),(67,1),(90,1)}
        52:{3,5,7}:{(36,1),(37,1),(46,1),(68,1)}
        53:{1,4,6,7}:{(37,1),(47,1),(65,1),(68,1),(89,1)}
        54:{1,2,4,5}:{(38,1),(69,1),(92,1),(93,1),(94,1)}
        55:{3,4,6}:{(38,1),(39,1),(41,1),(69,1)}
        56:{1,3,4,7}:{(39,1),(42,1),(70,1),(72,1),(89,1),(101,1)}
        57:{2,3,4,7}:{(39,1),(43,1),(71,1),(72,1),(90,1),(101,1)}
        58:{3,5,6}:{(40,1),(41,1),(64,1),(69,1),(73,1)}
        59:{1,3,6}:{(41,1),(42,1),(47,1),(76,1)}
        60:{2,3,6}:{(41,1),(43,1),(45,1),(76,1)}
        61:{1,2,5,7}:{(42,1),(43,1),(72,1),(76,1),(94,1)}
        62:{2,5,6}:{(44,1),(45,1),(67,1)}
        63:{1,5,6}:{(46,1),(47,1),(68,1)}
        64:{3,5,7}:{(48,1),(49,1),(58,1),(77,1)}
        65:{1,3,6,7}:{(49,1),(53,1),(59,1),(78,1),(80,1)}
        66:{2,3,6,7}:{(49,1),(51,1),(60,1),(79,1),(80,1)}
        67:{2,5,7}:{(50,1),(51,1),(62,1)}
        68:{1,5,7}:{(52,1),(53,1),(63,1)}
        69:{3,5}:{(54,1),(55,1)}
        70:{1,3,4,6}:{(55,1),(56,1),(59,1),(82,1),(84,1),(86,1),(100,1),(104,1)}
        71:{2,3,4,6}:{(55,1),(57,1),(60,1),(83,1),(84,1),(87,1),(100,1),(104,1)}
        72:{1,2,4,7}:{(56,1),(57,1),(61,1),(84,1),(85,1)}
        73:{3,4,6}:{(58,1),(77,1),(81,1),(86,1),(87,1),(100,1)}
        74:{1,3,5,6}:{(58,1),(59,1),(63,1),(78,1),(82,1),(86,1),(88,1),(100,1)}
        75:{2,3,5,6}:{(58,1),(60,1),(62,1),(79,1),(83,1),(87,1),(88,1),(100,1)}
        76:{1,2,6}:{(59,1),(60,1),(61,1)}
        77:{3,4,7}:{(64,1),(73,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(65,1),(68,1),(74,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(66,1),(67,1),(75,1),(90,1),(91,1),(101,1)}
        80:{1,2,6,7}:{(65,1),(66,1),(76,1),(91,1)}
        81:{3,4,5}:{(69,1),(73,1),(92,1),(93,1),(102,1)}
        82:{1,3,5}:{(69,1),(70,1),(92,1),(94,1),(102,1)}
        83:{2,3,5}:{(69,1),(71,1),(93,1),(94,1),(102,1)}
        84:{1,2,4,6}:{(70,1),(71,1),(72,1),(76,1),(94,1),(95,1),(103,1)}
        85:{1,2,3,7}:{(72,1),(95,1),(101,1)}
        86:{1,4,6}:{(73,1),(74,1),(89,1),(92,1)}
        87:{2,4,6}:{(73,1),(75,1),(90,1),(93,1)}
        88:{1,2,5,6}:{(74,1),(75,1),(76,1),(91,1),(94,1),(96,1)}
        89:{1,4,7}:{(77,1),(78,1),(86,1)}
        90:{2,4,7}:{(77,1),(79,1),(87,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(80,1),(88,1),(97,1)}
        92:{1,4,5}:{(81,1),(82,1),(86,1)}
        93:{2,4,5}:{(81,1),(83,1),(87,1)}
        94:{1,2,5}:{(82,1),(83,1),(84,1)}
        95:{1,2,3,6}:{(84,1),(85,1),(99,1),(100,1)}
        96:{1,2,4,6}:{(86,1),(87,1),(88,1),(97,1),(98,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(96,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(96,1),(102,1),(103,1)}
        99:{1,2,3,5}:{(94,1),(95,1),(102,1),(103,1)}
       100:{3,6}:{(96,1),(101,1),(102,1)}
       101:{3,7}:{(97,1),(100,1)}
       102:{3,5}:{(98,1),(100,1),(104,1)}
       103:{1,2,4}:{(99,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1466 :   0:{1,2,3,6}:{(3,1),(4,1),(5,1),(73,1),(127,1)}
         1:{2,3,4,6}:{(4,1),(6,1),(7,1),(21,1),(28,1),(31,1),(73,1),(75,1)}
         2:{1,3,4,6}:{(4,1),(8,1),(9,1),(21,1),(33,1),(36,1),(73,1),(75,1)}
         3:{1,2,3,5}:{(0,1),(10,1),(12,1),(40,1),(43,1),(98,1)}
         4:{1,2,4,6}:{(0,1),(1,1),(2,1),(10,1),(12,1),(13,1),(49,1)}
         5:{1,2,3,7}:{(0,1),(13,1),(107,1),(153,1),(224,1)}
         6:{2,3,5}:{(1,1),(12,1),(14,1),(43,1),(109,1)}
         7:{2,3,4,7}:{(1,1),(13,1),(16,1),(44,1),(53,1),(107,1),(195,1)}
         8:{1,3,5}:{(2,1),(12,1),(17,1),(43,1),(109,1)}
         9:{1,3,4,7}:{(2,1),(13,1),(19,1),(44,1),(59,1),(107,1),(194,1)}
        10:{1,2,4}:{(3,1),(21,1)}
        11:{1,2,3,5,7}:{(3,1),(5,1),(23,1),(24,1),(26,1),(68,1),(74,1),(78,1),(128,1),(130,1)}
        12:{1,2,5}:{(4,1),(6,1),(8,1)}
        13:{1,2,4,7}:{(4,1),(5,1),(7,1),(9,1),(26,1),(212,1)}
        14:{2,4,5}:{(6,1),(27,1),(28,1),(139,1)}
        15:{2,3,5,6}:{(6,1),(25,1),(28,1),(30,1),(31,1),(37,1),(73,1),(85,1),(138,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(26,1),(29,1),(31,1),(74,1),(211,1),(228,1)}
        17:{1,4,5}:{(8,1),(32,1),(33,1),(139,1)}
        18:{1,3,5,6}:{(8,1),(25,1),(33,1),(35,1),(36,1),(65,1),(73,1),(91,1),(138,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(26,1),(34,1),(36,1),(74,1),(210,1),(227,1)}
        20:{2,4,5,6}:{(28,1),(37,1),(38,1),(85,1),(144,1)}
        21:{3,4}:{(10,1),(43,1)}
        22:{1,2,4,5}:{(10,1),(12,1),(14,1),(17,1),(43,1),(45,1),(50,1),(56,1),(98,1)}
        23:{1,2,4,7}:{(10,1),(11,1),(44,1),(47,1),(156,1)}
        24:{1,2,3,6}:{(11,1),(47,1),(49,1),(108,1),(154,1)}
        25:{1,2,5,6}:{(12,1),(15,1),(18,1),(45,1),(48,1),(49,1),(62,1),(95,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(16,1),(19,1),(49,1),(223,1),(230,1)}
        27:{3,4,5}:{(14,1),(43,1),(50,1),(51,1)}
        28:{2,4,6}:{(14,1),(15,1),(51,1),(53,1),(164,1)}
        29:{2,4,5,7}:{(14,1),(16,1),(52,1),(53,1),(54,1),(116,1),(201,1),(226,1)}
        30:{2,3,5,7}:{(15,1),(48,1),(53,1),(55,1),(63,1),(107,1),(116,1),(163,1)}
        31:{2,3,6}:{(16,1),(49,1),(54,1),(108,1)}
        32:{3,4,5}:{(17,1),(43,1),(56,1),(57,1)}
        33:{1,4,6}:{(17,1),(18,1),(57,1),(59,1),(164,1)}
        34:{1,4,5,7}:{(17,1),(19,1),(58,1),(59,1),(60,1),(121,1),(198,1),(225,1)}
        35:{1,3,5,7}:{(18,1),(48,1),(59,1),(61,1),(96,1),(107,1),(121,1),(163,1)}
        36:{1,3,6}:{(19,1),(49,1),(60,1),(108,1)}
        37:{3,5,6}:{(20,1),(51,1),(62,1),(63,1)}
        38:{2,4,5,7}:{(20,1),(53,1),(63,1),(64,1),(116,1),(167,1)}
        39:{1,4,5,6}:{(33,1),(65,1),(66,1),(91,1),(148,1)}
        40:{1,2,3}:{(67,1)}
        41:{2,3,4}:{(21,1),(67,1),(69,1)}
        42:{1,3,4}:{(21,1),(67,1),(71,1)}
        43:{3,5}:{(21,1),(22,1),(73,1)}
        44:{3,4,7}:{(21,1),(23,1),(74,1),(75,1),(177,1),(184,1)}
        45:{1,2,4,6}:{(22,1),(25,1),(28,1),(33,1),(73,1),(76,1),(80,1),(86,1),(127,1)}
        46:{1,2,4,5,7}:{(22,1),(23,1),(26,1),(29,1),(34,1),(74,1),(76,1),(77,1),(78,1),(81,1),(87,1),(128,1),(139,1),(140,1),(176,1),(184,1),(208,1)}
        47:{1,2,4,6}:{(23,1),(24,1),(75,1),(78,1)}
        48:{1,2,5,7}:{(25,1),(30,1),(35,1),(76,1),(79,1),(92,1),(124,1)}
        49:{1,2,6}:{(26,1),(31,1),(36,1)}
        50:{1,4,5}:{(27,1),(71,1),(80,1)}
        51:{3,4,6}:{(27,1),(28,1),(37,1),(73,1),(80,1),(82,1)}
        52:{3,4,5,7}:{(27,1),(29,1),(74,1),(81,1),(82,1),(83,1),(139,1),(143,1),(183,1),(184,1),(215,1)}
        53:{2,4,7}:{(28,1),(30,1),(82,1),(184,1)}
        54:{2,4,6}:{(29,1),(31,1),(83,1),(85,1)}
        55:{2,3,6,7}:{(30,1),(31,1),(79,1),(84,1),(93,1),(137,1),(228,1)}
        56:{2,4,5}:{(32,1),(69,1),(86,1)}
        57:{3,4,6}:{(32,1),(33,1),(65,1),(73,1),(86,1),(88,1)}
        58:{3,4,5,7}:{(32,1),(34,1),(74,1),(87,1),(88,1),(89,1),(139,1),(147,1),(180,1),(184,1),(213,1)}
        59:{1,4,7}:{(33,1),(35,1),(88,1),(184,1)}
        60:{1,4,6}:{(34,1),(36,1),(89,1),(91,1)}
        61:{1,3,6,7}:{(35,1),(36,1),(79,1),(90,1),(125,1),(137,1),(227,1)}
        62:{1,5,6}:{(37,1),(80,1),(92,1)}
        63:{3,5,7}:{(37,1),(38,1),(82,1),(92,1),(93,1)}
        64:{2,4,6,7}:{(38,1),(93,1),(94,1),(150,1)}
        65:{3,5,6}:{(39,1),(57,1),(95,1),(96,1)}
        66:{1,4,5,7}:{(39,1),(59,1),(96,1),(97,1),(121,1),(170,1)}
        67:{1,2,4}:{(40,1),(41,1),(42,1),(98,1)}
        68:{1,2,3,7}:{(40,1),(99,1),(100,1),(220,1),(230,1)}
        69:{2,3,5}:{(41,1),(43,1),(56,1),(98,1),(101,1)}
        70:{2,3,4,7}:{(41,1),(44,1),(99,1),(102,1),(103,1),(196,1),(220,1)}
        71:{1,3,5}:{(42,1),(43,1),(50,1),(98,1),(104,1)}
        72:{1,3,4,7}:{(42,1),(44,1),(99,1),(105,1),(106,1),(199,1),(220,1)}
        73:{3,6}:{(43,1),(45,1),(107,1)}
        74:{3,5,7}:{(43,1),(44,1),(46,1),(107,1),(108,1),(109,1),(193,1),(220,1)}
        75:{3,4,6}:{(44,1),(47,1),(108,1),(109,1),(164,1)}
        76:{1,2,4,7}:{(45,1),(48,1),(53,1),(59,1),(107,1),(112,1),(117,1),(153,1)}
        77:{1,2,4,6}:{(46,1),(49,1),(54,1),(60,1),(108,1),(111,1),(113,1),(118,1),(154,1),(164,1)}
        78:{1,2,5}:{(47,1),(109,1)}
        79:{1,2,6,7}:{(48,1),(49,1),(55,1),(61,1),(122,1),(151,1),(230,1)}
        80:{1,4,6}:{(50,1),(51,1),(62,1),(104,1),(112,1)}
        81:{1,4,5,7}:{(50,1),(52,1),(105,1),(112,1),(113,1),(162,1),(165,1),(199,1)}
        82:{3,4,7}:{(51,1),(53,1),(63,1),(107,1),(112,1)}
        83:{3,4,6}:{(52,1),(54,1),(108,1),(113,1),(115,1),(164,1)}
        84:{2,4,6,7}:{(53,1),(54,1),(55,1),(114,1),(116,1),(206,1),(226,1)}
        85:{2,5,6}:{(54,1),(115,1),(116,1)}
        86:{2,4,6}:{(56,1),(57,1),(95,1),(101,1),(117,1)}
        87:{2,4,5,7}:{(56,1),(58,1),(102,1),(117,1),(118,1),(159,1),(168,1),(196,1)}
        88:{3,4,7}:{(57,1),(59,1),(96,1),(107,1),(117,1)}
        89:{3,4,6}:{(58,1),(60,1),(108,1),(118,1),(120,1),(164,1)}
        90:{1,4,6,7}:{(59,1),(60,1),(61,1),(119,1),(121,1),(219,1),(225,1)}
        91:{1,5,6}:{(60,1),(120,1),(121,1)}
        92:{1,5,7}:{(62,1),(63,1),(112,1),(122,1)}
        93:{3,6,7}:{(63,1),(64,1),(122,1)}
        94:{2,5,6,7}:{(64,1),(116,1),(123,1),(206,1)}
        95:{2,5,6}:{(65,1),(86,1),(124,1)}
        96:{3,5,7}:{(65,1),(66,1),(88,1),(124,1),(125,1)}
        97:{1,4,6,7}:{(66,1),(125,1),(126,1),(173,1)}
        98:{1,2,5}:{(67,1),(69,1),(71,1),(127,1)}
        99:{1,2,4,7}:{(67,1),(68,1),(70,1),(72,1),(128,1),(129,1)}
       100:{1,2,3,6}:{(68,1),(129,1),(130,1),(209,1),(229,1)}
       101:{2,3,6}:{(69,1),(73,1),(86,1),(127,1),(131,1)}
       102:{2,3,5,7}:{(69,1),(70,1),(74,1),(87,1),(128,1),(131,1),(132,1),(133,1)}
       103:{2,3,4,6}:{(70,1),(75,1),(129,1),(132,1),(133,1),(177,1),(179,1),(209,1)}
       104:{1,3,6}:{(71,1),(73,1),(80,1),(127,1),(134,1)}
       105:{1,3,5,7}:{(71,1),(72,1),(74,1),(81,1),(128,1),(134,1),(135,1),(136,1)}
       106:{1,3,4,6}:{(72,1),(75,1),(129,1),(135,1),(136,1),(177,1),(182,1),(209,1)}
       107:{3,7}:{(73,1),(76,1)}
       108:{3,6}:{(74,1),(77,1)}
       109:{3,5}:{(75,1),(78,1),(139,1)}
       110:{1,2,4,6,7}:{(76,1),(77,1),(79,1),(84,1),(90,1),(137,1),(140,1),(141,1),(145,1),(174,1),(184,1),(208,1)}
       111:{1,2,5,6}:{(77,1),(78,1),(85,1),(91,1),(138,1),(140,1),(142,1),(146,1)}
       112:{1,4,7}:{(80,1),(82,1),(92,1),(134,1)}
       113:{1,4,6}:{(81,1),(83,1),(135,1),(142,1)}
       114:{3,4,6,7}:{(82,1),(83,1),(84,1),(93,1),(137,1),(141,1),(143,1),(150,1),(184,1),(189,1),(215,1)}
       115:{3,5,6}:{(83,1),(85,1),(142,1),(143,1),(144,1)}
       116:{2,5,7}:{(84,1),(85,1),(143,1)}
       117:{2,4,7}:{(86,1),(88,1),(124,1),(131,1)}
       118:{2,4,6}:{(87,1),(89,1),(132,1),(146,1)}
       119:{3,4,6,7}:{(88,1),(89,1),(90,1),(125,1),(137,1),(145,1),(147,1),(173,1),(184,1),(207,1),(213,1)}
       120:{3,5,6}:{(89,1),(91,1),(146,1),(147,1),(148,1)}
       121:{1,5,7}:{(90,1),(91,1),(147,1)}
       122:{1,6,7}:{(92,1),(93,1)}
       123:{3,5,6,7}:{(93,1),(94,1),(143,1),(149,1),(150,1),(189,1)}
       124:{2,5,7}:{(95,1),(96,1),(117,1),(151,1)}
       125:{3,6,7}:{(96,1),(97,1),(151,1)}
       126:{1,5,6,7}:{(97,1),(121,1),(152,1),(219,1)}
       127:{1,2,6}:{(98,1),(101,1),(104,1),(153,1)}
       128:{1,2,5,7}:{(98,1),(99,1),(102,1),(105,1),(153,1),(154,1),(155,1)}
       129:{1,2,4,6}:{(99,1),(100,1),(103,1),(106,1),(154,1),(155,1),(156,1)}
       130:{1,2,3,5}:{(100,1),(155,1),(156,1),(193,1),(223,1),(224,1)}
       131:{2,3,7}:{(101,1),(107,1),(117,1),(153,1)}
       132:{2,3,6}:{(102,1),(108,1),(118,1),(154,1)}
       133:{2,3,5}:{(103,1),(109,1),(155,1),(159,1),(193,1)}
       134:{1,3,7}:{(104,1),(107,1),(112,1),(153,1)}
       135:{1,3,6}:{(105,1),(108,1),(113,1),(154,1)}
       136:{1,3,5}:{(106,1),(109,1),(155,1),(162,1),(193,1)}
       137:{3,6,7}:{(107,1),(108,1),(110,1),(163,1),(220,1)}
       138:{3,5,6}:{(108,1),(109,1),(111,1),(163,1),(164,1)}
       139:{4,5}:{(109,1),(164,1)}
       140:{1,2,5,7}:{(110,1),(111,1),(116,1),(121,1),(163,1),(165,1),(168,1)}
       141:{1,4,6,7}:{(112,1),(113,1),(114,1),(122,1),(160,1),(165,1),(199,1)}
       142:{1,5,6}:{(113,1),(115,1),(165,1)}
       143:{3,5,7}:{(114,1),(115,1),(116,1),(165,1),(167,1)}
       144:{4,5,6}:{(115,1),(164,1),(167,1)}
       145:{2,4,6,7}:{(117,1),(118,1),(119,1),(151,1),(157,1),(168,1),(196,1)}
       146:{2,5,6}:{(118,1),(120,1),(168,1)}
       147:{3,5,7}:{(119,1),(120,1),(121,1),(168,1),(170,1)}
       148:{4,5,6}:{(120,1),(164,1),(170,1)}
       149:{1,5,6,7}:{(122,1),(123,1),(165,1),(171,1)}
       150:{4,6,7}:{(123,1),(167,1)}
       151:{2,6,7}:{(124,1),(125,1)}
       152:{3,5,6,7}:{(125,1),(126,1),(147,1),(172,1),(173,1),(207,1)}
       153:{1,2,7}:{(127,1),(131,1),(134,1)}
       154:{1,2,6}:{(128,1),(132,1),(135,1)}
       155:{1,2,5}:{(129,1),(133,1),(136,1)}
       156:{1,2,4}:{(130,1),(177,1)}
       157:{2,3,6,7}:{(131,1),(132,1),(137,1),(145,1),(174,1),(178,1),(207,1)}
       158:{2,3,5,6}:{(132,1),(133,1),(138,1),(146,1),(175,1),(178,1),(179,1),(188,1),(209,1)}
       159:{2,4,5}:{(133,1),(139,1),(179,1),(180,1)}
       160:{1,3,6,7}:{(134,1),(135,1),(137,1),(141,1),(174,1),(181,1),(189,1)}
       161:{1,3,5,6}:{(135,1),(136,1),(138,1),(142,1),(175,1),(181,1),(182,1),(186,1),(209,1)}
       162:{1,4,5}:{(136,1),(139,1),(182,1),(183,1)}
       163:{3,5,7}:{(137,1),(138,1),(140,1),(184,1)}
       164:{4,6}:{(138,1),(139,1),(184,1)}
       165:{1,5,7}:{(141,1),(142,1),(143,1)}
       166:{1,4,5,6}:{(142,1),(144,1),(182,1),(185,1),(186,1)}
       167:{4,5,7}:{(143,1),(144,1),(150,1),(184,1)}
       168:{2,5,7}:{(145,1),(146,1),(147,1)}
       169:{2,4,5,6}:{(146,1),(148,1),(179,1),(187,1),(188,1)}
       170:{4,5,7}:{(147,1),(148,1),(173,1),(184,1)}
       171:{1,4,6,7}:{(149,1),(150,1),(185,1),(189,1)}
       172:{2,5,6,7}:{(151,1),(152,1),(168,1),(190,1)}
       173:{4,6,7}:{(152,1),(170,1)}
       174:{1,2,6,7}:{(153,1),(154,1),(157,1),(160,1),(191,1),(206,1),(219,1)}
       175:{1,2,5,6}:{(154,1),(155,1),(158,1),(161,1),(191,1),(192,1),(203,1),(205,1)}
       176:{1,2,4,5}:{(155,1),(156,1),(159,1),(162,1),(192,1),(193,1),(198,1),(201,1),(223,1)}
       177:{3,4}:{(156,1),(193,1)}
       178:{2,3,5,7}:{(157,1),(158,1),(163,1),(168,1),(191,1),(196,1),(204,1),(220,1)}
       179:{2,4,6}:{(158,1),(159,1),(164,1),(196,1),(197,1)}
       180:{3,4,5}:{(159,1),(193,1),(197,1),(198,1)}
       181:{1,3,5,7}:{(160,1),(161,1),(163,1),(165,1),(191,1),(199,1),(202,1),(220,1)}
       182:{1,4,6}:{(161,1),(162,1),(164,1),(199,1),(200,1)}
       183:{3,4,5}:{(162,1),(193,1),(200,1),(201,1)}
       184:{4,7}:{(163,1),(164,1)}
       185:{1,4,5,7}:{(165,1),(166,1),(167,1),(171,1),(199,1),(202,1)}
       186:{3,5,6}:{(166,1),(200,1),(202,1),(203,1)}
       187:{2,4,5,7}:{(168,1),(169,1),(170,1),(190,1),(196,1),(204,1)}
       188:{3,5,6}:{(169,1),(197,1),(204,1),(205,1)}
       189:{3,6,7}:{(171,1),(202,1),(206,1)}
       190:{2,4,6,7}:{(172,1),(173,1),(187,1),(207,1)}
       191:{1,2,5,7}:{(174,1),(175,1),(178,1),(181,1),(208,1),(217,1),(218,1)}
       192:{1,2,4,6}:{(175,1),(176,1),(179,1),(182,1),(208,1),(209,1),(214,1),(216,1),(229,1)}
       193:{3,5}:{(176,1),(177,1),(209,1)}
       194:{1,3,4}:{(177,1),(210,1),(212,1)}
       195:{2,3,4}:{(177,1),(211,1),(212,1)}
       196:{2,4,7}:{(178,1),(179,1),(184,1),(213,1)}
       197:{3,4,6}:{(179,1),(180,1),(188,1),(209,1),(213,1),(214,1)}
       198:{1,4,5}:{(180,1),(210,1),(214,1)}
       199:{1,4,7}:{(181,1),(182,1),(184,1),(215,1)}
       200:{3,4,6}:{(182,1),(183,1),(186,1),(209,1),(215,1),(216,1)}
       201:{2,4,5}:{(183,1),(211,1),(216,1)}
       202:{3,5,7}:{(185,1),(186,1),(189,1),(215,1),(217,1)}
       203:{2,5,6}:{(186,1),(216,1),(217,1)}
       204:{3,5,7}:{(187,1),(188,1),(207,1),(213,1),(218,1)}
       205:{1,5,6}:{(188,1),(214,1),(218,1)}
       206:{2,6,7}:{(189,1),(217,1)}
       207:{3,6,7}:{(190,1),(204,1),(219,1)}
       208:{1,2,4,7}:{(191,1),(192,1),(196,1),(199,1),(220,1),(225,1),(226,1),(230,1)}
       209:{3,6}:{(192,1),(193,1),(220,1)}
       210:{1,3,5}:{(193,1),(194,1),(198,1),(221,1),(223,1)}
       211:{2,3,5}:{(193,1),(195,1),(201,1),(222,1),(223,1)}
       212:{1,2,4}:{(194,1),(195,1),(223,1),(224,1)}
       213:{3,4,7}:{(196,1),(197,1),(204,1),(220,1),(225,1)}
       214:{1,4,6}:{(197,1),(198,1),(205,1),(221,1),(225,1)}
       215:{3,4,7}:{(199,1),(200,1),(202,1),(220,1),(226,1)}
       216:{2,4,6}:{(200,1),(201,1),(203,1),(222,1),(226,1)}
       217:{2,5,7}:{(202,1),(203,1),(206,1),(226,1)}
       218:{1,5,7}:{(204,1),(205,1),(219,1),(225,1)}
       219:{1,6,7}:{(207,1),(218,1)}
       220:{3,7}:{(208,1),(209,1)}
       221:{1,3,6}:{(209,1),(210,1),(214,1),(227,1),(229,1)}
       222:{2,3,6}:{(209,1),(211,1),(216,1),(228,1),(229,1)}
       223:{1,2,5}:{(210,1),(211,1),(212,1),(229,1)}
       224:{1,2,3}:{(212,1)}
       225:{1,4,7}:{(213,1),(214,1),(218,1),(227,1)}
       226:{2,4,7}:{(215,1),(216,1),(217,1),(228,1)}
       227:{1,3,7}:{(220,1),(221,1),(225,1),(230,1)}
       228:{2,3,7}:{(220,1),(222,1),(226,1),(230,1)}
       229:{1,2,6}:{(221,1),(222,1),(223,1),(230,1)}
       230:{1,2,7}:{(227,1),(228,1),(229,1)}

1467 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(16,1),(17,1),(20,1),(21,1),(38,1),(71,1),(95,1),(96,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(114,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(18,1),(19,1),(20,1),(127,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(15,1),(71,1),(97,1),(126,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(26,1),(27,1),(28,1)}
         5:{3,5,7}:{(2,1),(3,1),(9,1),(135,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(58,1),(62,1),(87,1),(92,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(58,1),(62,1),(86,1),(91,1),(111,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(36,1),(37,1),(38,1),(65,1),(106,1)}
         9:{3,5,6}:{(4,1),(5,1),(15,1)}
        10:{3,4,5,7}:{(5,1),(15,1),(18,1),(19,1),(45,1),(97,1),(101,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1),(45,1),(109,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(45,1),(108,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(41,1),(46,1),(107,1)}
        14:{3,5,6,7}:{(8,1),(9,1),(23,1),(82,1),(120,1)}
        15:{3,4,6}:{(9,1),(10,1),(26,1),(27,1),(58,1)}
        16:{1,3,5,6}:{(9,1),(11,1),(26,1),(28,1),(58,1)}
        17:{2,3,5,6}:{(9,1),(12,1),(27,1),(28,1),(58,1)}
        18:{1,4,5,7}:{(10,1),(11,1),(26,1),(112,1),(116,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(27,1),(111,1),(115,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(28,1),(121,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(58,1),(86,1),(87,1),(90,1)}
        22:{3,4,5,6}:{(15,1),(33,1),(34,1),(35,1),(68,1),(101,1),(125,1)}
        23:{3,4,6,7}:{(14,1),(15,1),(33,1),(36,1),(37,1),(71,1),(97,1),(125,1)}
        24:{1,3,5,6,7}:{(14,1),(16,1),(36,1),(38,1),(63,1),(71,1),(96,1),(130,1)}
        25:{2,3,5,6,7}:{(14,1),(17,1),(37,1),(38,1),(64,1),(71,1),(95,1),(129,1)}
        26:{1,4,6}:{(15,1),(16,1),(18,1)}
        27:{2,4,6}:{(15,1),(17,1),(19,1)}
        28:{1,2,5,6}:{(16,1),(17,1),(20,1),(41,1)}
        29:{1,3,4,5,7}:{(18,1),(39,1),(43,1),(45,1),(63,1),(79,1),(97,1),(101,1),(109,1),(124,1),(137,1)}
        30:{2,3,4,5,7}:{(19,1),(40,1),(44,1),(45,1),(64,1),(78,1),(97,1),(101,1),(108,1),(123,1),(137,1)}
        31:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(41,1),(45,1),(46,1),(76,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(42,1),(45,1),(46,1),(95,1),(96,1)}
        33:{3,4,5,7}:{(22,1),(23,1),(47,1),(48,1),(82,1)}
        34:{1,4,5,6}:{(22,1),(26,1),(47,1),(49,1),(116,1),(134,1)}
        35:{2,4,5,6}:{(22,1),(27,1),(48,1),(50,1),(115,1),(133,1)}
        36:{1,4,6,7}:{(23,1),(24,1),(26,1),(47,1),(112,1),(134,1)}
        37:{2,4,6,7}:{(23,1),(25,1),(27,1),(48,1),(111,1),(133,1)}
        38:{1,2,5,6,7}:{(24,1),(25,1),(28,1),(54,1),(80,1),(81,1),(136,1)}
        39:{1,3,4,6}:{(26,1),(29,1),(49,1),(56,1),(58,1),(85,1),(134,1),(139,1)}
        40:{2,3,4,6}:{(27,1),(30,1),(50,1),(57,1),(58,1),(85,1),(133,1),(139,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(58,1)}
        42:{1,2,3,5,6}:{(28,1),(32,1),(58,1),(59,1),(83,1),(84,1),(90,1),(93,1),(121,1)}
        43:{1,2,4,5,7}:{(29,1),(56,1),(60,1),(80,1),(94,1),(111,1),(115,1),(121,1)}
        44:{1,2,4,5,7}:{(30,1),(57,1),(61,1),(81,1),(94,1),(112,1),(116,1),(121,1)}
        45:{3,5,7}:{(31,1),(58,1),(62,1),(93,1)}
        46:{1,2,4,7}:{(32,1),(59,1),(62,1),(111,1),(112,1)}
        47:{1,4,5,7}:{(33,1),(34,1),(36,1),(63,1)}
        48:{2,4,5,7}:{(33,1),(35,1),(37,1),(64,1)}
        49:{1,3,5,6}:{(34,1),(39,1),(63,1),(66,1),(68,1),(109,1)}
        50:{2,3,5,6}:{(35,1),(40,1),(64,1),(67,1),(68,1),(108,1)}
        51:{1,2,4,5,6}:{(34,1),(35,1),(41,1),(65,1),(66,1),(67,1),(68,1),(76,1),(99,1),(100,1),(127,1),(138,1)}
        52:{1,3,4,6,7}:{(36,1),(39,1),(63,1),(69,1),(71,1),(97,1)}
        53:{2,3,4,6,7}:{(37,1),(40,1),(64,1),(70,1),(71,1),(97,1)}
        54:{1,2,4,6,7}:{(36,1),(37,1),(38,1),(41,1),(65,1),(71,1),(138,1)}
        55:{1,2,3,5,6,7}:{(38,1),(42,1),(71,1),(72,1),(95,1),(96,1),(102,1),(105,1),(128,1),(129,1),(130,1)}
        56:{1,2,4,6}:{(39,1),(43,1),(66,1),(73,1),(99,1)}
        57:{1,2,4,6}:{(40,1),(44,1),(67,1),(74,1),(100,1)}
        58:{3,6}:{(41,1),(45,1)}
        59:{1,2,4,6}:{(42,1),(46,1),(75,1),(76,1),(99,1),(100,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(73,1),(78,1),(108,1),(137,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(74,1),(79,1),(109,1),(137,1)}
        62:{3,4,7}:{(45,1),(46,1),(75,1)}
        63:{1,3,5,7}:{(47,1),(49,1),(52,1),(80,1),(82,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(53,1),(81,1),(82,1)}
        65:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(54,1),(80,1),(81,1),(82,1),(111,1),(112,1)}
        66:{1,2,5,6}:{(49,1),(56,1),(80,1),(83,1),(121,1)}
        67:{1,2,5,6}:{(50,1),(57,1),(81,1),(84,1),(121,1)}
        68:{3,5,6}:{(51,1),(58,1),(82,1),(85,1),(93,1),(135,1),(139,1)}
        69:{1,2,4,6,7}:{(52,1),(56,1),(80,1),(86,1),(111,1)}
        70:{1,2,4,6,7}:{(53,1),(57,1),(81,1),(87,1),(112,1)}
        71:{3,6,7}:{(54,1),(58,1),(82,1),(139,1)}
        72:{1,2,4,6,7}:{(55,1),(59,1),(88,1),(89,1),(111,1),(112,1),(133,1),(134,1)}
        73:{2,3,6}:{(56,1),(58,1),(60,1),(139,1)}
        74:{1,3,6}:{(57,1),(58,1),(61,1),(139,1)}
        75:{3,4,6}:{(58,1),(59,1),(62,1),(93,1)}
        76:{1,2,4,5}:{(59,1),(93,1),(115,1),(116,1),(121,1)}
        77:{1,2,3,5,7}:{(60,1),(61,1),(90,1),(94,1),(121,1)}
        78:{2,3,4,7}:{(60,1),(62,1),(91,1),(94,1),(111,1),(131,1)}
        79:{1,3,4,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(131,1)}
        80:{1,2,5,7}:{(63,1),(66,1),(69,1),(95,1)}
        81:{1,2,5,7}:{(64,1),(67,1),(70,1),(96,1)}
        82:{3,5,7}:{(65,1),(68,1),(71,1),(97,1)}
        83:{2,3,5,6}:{(66,1),(68,1),(73,1),(95,1),(99,1),(108,1)}
        84:{1,3,5,6}:{(67,1),(68,1),(74,1),(96,1),(100,1),(109,1)}
        85:{3,4,6}:{(68,1),(97,1),(99,1),(100,1),(101,1)}
        86:{2,3,6,7}:{(69,1),(71,1),(73,1),(95,1)}
        87:{1,3,6,7}:{(70,1),(71,1),(74,1),(96,1)}
        88:{3,4,6,7}:{(71,1),(72,1),(75,1),(97,1),(105,1),(125,1)}
        89:{1,2,4,5,7}:{(72,1),(76,1),(105,1),(106,1),(123,1),(124,1),(128,1)}
        90:{1,2,3,6}:{(73,1),(74,1),(77,1),(107,1)}
        91:{2,3,4,6}:{(73,1),(75,1),(78,1),(99,1),(107,1),(108,1),(126,1)}
        92:{1,3,4,6}:{(74,1),(75,1),(79,1),(100,1),(107,1),(109,1),(126,1)}
        93:{3,5}:{(75,1),(76,1)}
        94:{1,2,4,7}:{(77,1),(78,1),(79,1),(107,1)}
        95:{2,3,5,7}:{(80,1),(82,1),(83,1),(86,1),(111,1)}
        96:{1,3,5,7}:{(81,1),(82,1),(84,1),(87,1),(112,1)}
        97:{3,4,7}:{(82,1),(85,1),(111,1),(112,1)}
        98:{1,2,3,5,6}:{(83,1),(84,1),(90,1),(110,1),(114,1),(121,1),(135,1),(136,1),(139,1)}
        99:{2,4,6}:{(83,1),(85,1),(111,1),(115,1)}
       100:{1,4,6}:{(84,1),(85,1),(112,1),(116,1)}
       101:{3,4,5}:{(85,1),(93,1),(115,1),(116,1),(135,1)}
       102:{1,2,3,6,7}:{(86,1),(87,1),(90,1),(110,1),(117,1),(139,1)}
       103:{2,3,4,6,7}:{(86,1),(88,1),(91,1),(111,1),(117,1),(118,1),(131,1),(133,1),(139,1)}
       104:{1,3,4,6,7}:{(87,1),(88,1),(92,1),(112,1),(117,1),(119,1),(131,1),(134,1),(139,1)}
       105:{3,5,7}:{(88,1),(89,1),(93,1),(120,1)}
       106:{1,2,4,5,6}:{(89,1),(120,1),(133,1),(134,1),(136,1)}
       107:{1,2,4,6}:{(90,1),(91,1),(92,1),(94,1),(121,1)}
       108:{2,3,5}:{(91,1),(93,1),(115,1),(121,1),(135,1)}
       109:{1,3,5}:{(92,1),(93,1),(116,1),(121,1),(135,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(102,1),(122,1),(128,1),(137,1)}
       111:{2,4,7}:{(95,1),(97,1),(99,1)}
       112:{1,4,7}:{(96,1),(97,1),(100,1)}
       113:{3,4,5,7}:{(97,1),(101,1),(105,1),(123,1),(124,1),(125,1),(137,1)}
       114:{1,2,4,6}:{(98,1),(99,1),(100,1),(122,1),(126,1),(127,1)}
       115:{2,4,5}:{(99,1),(101,1),(108,1)}
       116:{1,4,5}:{(100,1),(101,1),(109,1)}
       117:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(107,1),(122,1),(128,1),(138,1)}
       118:{2,3,5,7}:{(103,1),(105,1),(108,1),(123,1),(128,1),(129,1),(137,1)}
       119:{1,3,5,7}:{(104,1),(105,1),(109,1),(124,1),(128,1),(130,1),(137,1)}
       120:{3,5,6}:{(105,1),(106,1),(125,1)}
       121:{1,2,5}:{(107,1),(108,1),(109,1)}
       122:{1,2,4,7}:{(110,1),(111,1),(112,1),(114,1),(131,1)}
       123:{2,4,5,7}:{(111,1),(113,1),(115,1),(118,1),(133,1)}
       124:{1,4,5,7}:{(112,1),(113,1),(116,1),(119,1),(134,1)}
       125:{3,4,6}:{(113,1),(120,1),(133,1),(134,1),(139,1)}
       126:{3,4,6}:{(114,1),(131,1),(135,1),(139,1)}
       127:{1,2,4,5}:{(114,1),(115,1),(116,1),(121,1),(135,1)}
       128:{1,2,5,7}:{(117,1),(118,1),(119,1),(121,1),(136,1)}
       129:{2,3,5,6}:{(118,1),(120,1),(133,1),(136,1),(139,1)}
       130:{1,3,5,6}:{(119,1),(120,1),(134,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(126,1),(137,1)}
       132:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(127,1),(128,1),(137,1),(138,1)}
       133:{2,4,6}:{(123,1),(125,1),(129,1)}
       134:{1,4,6}:{(124,1),(125,1),(130,1)}
       135:{3,5}:{(126,1),(127,1)}
       136:{1,2,5,6}:{(128,1),(129,1),(130,1),(138,1)}
       137:{3,5,7}:{(131,1),(132,1),(135,1),(139,1)}
       138:{1,2,4,6}:{(132,1),(133,1),(134,1),(136,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1468 :   0:{1,2,3,6,7}:{(2,1),(3,1),(45,1),(82,1),(83,1),(84,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(13,1),(14,1),(17,1),(45,1),(47,1),(48,1),(49,1),(82,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(23,1),(26,1),(63,1),(68,1),(69,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(27,1),(93,1),(94,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(60,1),(61,1)}
         5:{3,4,6,7}:{(3,1),(10,1),(11,1),(36,1),(45,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(11,1),(80,1),(81,1)}
         7:{1,2,5,7}:{(3,1),(10,1),(13,1),(100,1),(101,1)}
         8:{3,4,6}:{(4,1),(11,1),(17,1),(45,1)}
         9:{1,2,4,5}:{(4,1),(17,1),(39,1),(40,1),(47,1)}
        10:{3,5,7}:{(5,1),(7,1),(19,1),(20,1)}
        11:{3,4,7}:{(6,1),(8,1),(26,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(19,1),(26,1),(27,1),(54,1),(55,1),(63,1)}
        13:{1,2,5,6}:{(7,1),(20,1),(27,1),(88,1),(89,1)}
        14:{1,2,3,6}:{(21,1),(23,1),(29,1),(95,1)}
        15:{2,3,4,6}:{(8,1),(24,1),(29,1),(30,1),(58,1),(60,1),(64,1),(86,1),(95,1)}
        16:{1,3,4,6}:{(8,1),(25,1),(29,1),(31,1),(58,1),(61,1),(65,1),(86,1),(95,1)}
        17:{3,5}:{(8,1),(9,1)}
        18:{1,2,4,5,6}:{(9,1),(27,1),(32,1),(33,1),(52,1),(60,1),(61,1),(67,1),(88,1),(89,1)}
        19:{4,5,7}:{(10,1),(36,1)}
        20:{3,5,6}:{(10,1),(13,1),(36,1),(45,1)}
        21:{1,2,3,5}:{(14,1),(38,1),(47,1),(78,1)}
        22:{3,4,5}:{(17,1),(39,1),(40,1),(41,1),(78,1)}
        23:{1,2,3,7}:{(14,1),(42,1),(104,1)}
        24:{2,3,4,7}:{(11,1),(15,1),(42,1),(43,1),(73,1),(80,1),(104,1)}
        25:{1,3,4,7}:{(11,1),(16,1),(42,1),(44,1),(73,1),(81,1),(104,1)}
        26:{3,5,7}:{(11,1),(12,1),(17,1),(45,1)}
        27:{1,2,4,6}:{(12,1),(13,1),(36,1),(45,1),(75,1),(76,1),(82,1)}
        28:{1,2,5,6,7}:{(13,1),(37,1),(46,1),(100,1),(101,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(16,1),(38,1),(42,1),(47,1),(82,1)}
        30:{2,3,5}:{(15,1),(17,1),(39,1),(47,1),(78,1),(98,1)}
        31:{1,3,5}:{(16,1),(17,1),(40,1),(47,1),(78,1),(98,1)}
        32:{3,5,6}:{(17,1),(18,1),(41,1),(45,1),(50,1)}
        33:{1,2,4,5,7}:{(18,1),(46,1),(50,1),(72,1),(80,1),(81,1),(85,1),(100,1),(101,1)}
        34:{1,2,3,5,7}:{(21,1),(23,1),(51,1),(53,1),(63,1),(87,1),(91,1)}
        35:{3,4,5,7}:{(19,1),(22,1),(26,1),(54,1),(55,1),(56,1),(62,1),(90,1),(91,1),(105,1),(111,1)}
        36:{4,6}:{(19,1),(20,1)}
        37:{3,5,6,7}:{(20,1),(28,1),(57,1),(66,1),(90,1)}
        38:{1,2,4}:{(21,1),(58,1)}
        39:{2,4,5}:{(22,1),(30,1),(60,1),(105,1)}
        40:{1,4,5}:{(22,1),(31,1),(61,1),(105,1)}
        41:{3,4,6}:{(22,1),(32,1),(60,1),(61,1),(62,1),(95,1)}
        42:{1,2,4,7}:{(23,1),(24,1),(25,1),(29,1),(63,1)}
        43:{2,3,5,7}:{(24,1),(26,1),(30,1),(54,1),(63,1),(64,1),(91,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(31,1),(55,1),(63,1),(65,1),(91,1)}
        45:{3,6}:{(26,1),(27,1)}
        46:{1,2,4,6,7}:{(27,1),(28,1),(33,1),(57,1),(66,1),(93,1),(94,1),(97,1)}
        47:{1,2,5}:{(29,1),(30,1),(31,1)}
        48:{2,3,5,6}:{(30,1),(32,1),(60,1),(64,1),(67,1),(68,1),(88,1),(95,1),(106,1)}
        49:{1,3,5,6}:{(31,1),(32,1),(61,1),(65,1),(67,1),(69,1),(89,1),(95,1),(106,1)}
        50:{3,5,7}:{(32,1),(33,1),(62,1),(66,1)}
        51:{1,2,3,6}:{(34,1),(70,1),(82,1),(102,1)}
        52:{4,5,6}:{(36,1),(71,1),(72,1),(109,1)}
        53:{1,2,4,7}:{(34,1),(38,1),(70,1),(73,1)}
        54:{2,4,5,7}:{(35,1),(39,1),(43,1),(75,1),(80,1),(100,1)}
        55:{1,4,5,7}:{(35,1),(40,1),(44,1),(76,1),(81,1),(101,1)}
        56:{3,4,6}:{(35,1),(36,1),(45,1),(71,1),(75,1),(76,1),(102,1),(109,1)}
        57:{4,6,7}:{(36,1),(37,1),(72,1)}
        58:{3,4}:{(38,1),(78,1)}
        59:{1,2,4,5}:{(38,1),(39,1),(40,1),(47,1),(78,1),(79,1)}
        60:{2,4,6}:{(39,1),(41,1),(48,1),(80,1),(109,1)}
        61:{1,4,6}:{(40,1),(41,1),(49,1),(81,1),(109,1)}
        62:{3,4,7}:{(41,1),(50,1),(80,1),(81,1),(104,1)}
        63:{1,2,5,7}:{(42,1),(43,1),(44,1),(47,1),(82,1)}
        64:{2,3,6}:{(43,1),(45,1),(75,1),(82,1),(102,1)}
        65:{1,3,6}:{(44,1),(45,1),(76,1),(82,1),(102,1)}
        66:{3,6,7}:{(45,1),(46,1),(50,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(49,1),(79,1),(82,1),(85,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(80,1),(83,1),(85,1),(100,1),(104,1),(110,1)}
        69:{1,3,5,7}:{(49,1),(50,1),(81,1),(84,1),(85,1),(101,1),(104,1),(110,1)}
        70:{1,2,4,6}:{(51,1),(53,1),(86,1),(87,1)}
        71:{3,5,6}:{(52,1),(56,1),(88,1),(89,1),(90,1)}
        72:{4,5,7}:{(52,1),(57,1),(90,1),(111,1)}
        73:{3,4,7}:{(53,1),(58,1),(86,1),(91,1),(111,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(59,1),(63,1),(87,1),(91,1),(92,1),(96,1),(105,1),(107,1),(111,1)}
        75:{2,4,6}:{(54,1),(56,1),(64,1),(88,1)}
        76:{1,4,6}:{(55,1),(56,1),(65,1),(89,1)}
        77:{3,4,6,7}:{(56,1),(57,1),(62,1),(66,1),(90,1),(93,1),(94,1),(108,1),(111,1)}
        78:{3,5}:{(58,1),(59,1),(95,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(67,1),(95,1),(96,1)}
        80:{2,4,7}:{(60,1),(62,1),(68,1),(111,1)}
        81:{1,4,7}:{(61,1),(62,1),(69,1),(111,1)}
        82:{1,2,6}:{(63,1),(64,1),(65,1)}
        83:{2,3,6,7}:{(64,1),(66,1),(68,1),(93,1),(97,1),(108,1)}
        84:{1,3,6,7}:{(65,1),(66,1),(69,1),(94,1),(97,1),(108,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(96,1),(97,1)}
        86:{3,4,6}:{(70,1),(73,1),(98,1),(102,1),(109,1)}
        87:{1,2,5}:{(70,1),(98,1)}
        88:{2,5,6}:{(71,1),(75,1),(100,1)}
        89:{1,5,6}:{(71,1),(76,1),(101,1)}
        90:{3,5,7}:{(71,1),(72,1),(77,1),(100,1),(101,1)}
        91:{3,5,7}:{(73,1),(74,1),(78,1),(98,1),(102,1),(104,1)}
        92:{1,2,4,6}:{(74,1),(75,1),(76,1),(82,1),(99,1),(102,1),(109,1)}
        93:{2,4,6,7}:{(75,1),(77,1),(80,1),(83,1),(100,1)}
        94:{1,4,6,7}:{(76,1),(77,1),(81,1),(84,1),(101,1)}
        95:{3,6}:{(78,1),(79,1),(104,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(85,1),(104,1)}
        97:{1,2,6,7}:{(82,1),(83,1),(84,1),(85,1)}
        98:{3,5}:{(86,1),(87,1),(105,1)}
        99:{1,2,5,6}:{(87,1),(88,1),(89,1),(92,1),(106,1),(107,1)}
       100:{2,5,7}:{(88,1),(90,1),(93,1)}
       101:{1,5,7}:{(89,1),(90,1),(94,1)}
       102:{3,6}:{(91,1),(92,1)}
       103:{1,2,4,6,7}:{(92,1),(93,1),(94,1),(96,1),(97,1),(107,1),(108,1),(111,1)}
       104:{3,7}:{(95,1),(96,1)}
       105:{4,5}:{(98,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(102,1),(109,1),(110,1)}
       107:{1,2,5,7}:{(99,1),(100,1),(101,1),(103,1),(110,1)}
       108:{3,6,7}:{(102,1),(103,1),(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1469 :   0:{2,3,4,6,7}:{(1,1),(2,1),(9,1),(25,1),(29,1),(31,1),(53,1),(59,1),(80,1),(86,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(38,1),(69,1),(96,1),(102,1)}
         2:{2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(75,1),(101,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(9,1),(27,1),(29,1)}
         4:{1,3,6,7}:{(1,1),(10,1),(29,1),(111,1),(115,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(114,1)}
         6:{2,4,5,7}:{(2,1),(9,1),(12,1),(80,1),(88,1)}
         7:{2,3,5,6,7}:{(3,1),(13,1),(14,1),(35,1),(37,1),(64,1),(123,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(40,1),(75,1)}
         9:{2,4,6}:{(3,1),(6,1),(18,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(125,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(46,1),(47,1),(75,1),(96,1),(103,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(70,1)}
        13:{1,2,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(49,1),(81,1),(84,1),(112,1)}
        14:{2,4,6,7}:{(7,1),(9,1),(22,1),(25,1),(80,1),(131,1)}
        15:{2,4,5,6}:{(9,1),(22,1),(27,1)}
        16:{1,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(59,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(27,1),(29,1),(30,1)}
        19:{1,4,7}:{(10,1),(28,1),(31,1),(132,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(111,1),(116,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(32,1),(49,1),(79,1),(87,1)}
        22:{2,4,5,7}:{(14,1),(15,1),(35,1),(136,1)}
        23:{1,3,5,6,7}:{(13,1),(16,1),(36,1),(37,1),(63,1),(66,1),(97,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(34,1),(36,1),(37,1),(38,1),(68,1),(69,1),(96,1),(121,1)}
        25:{3,4,6,7}:{(14,1),(18,1),(35,1),(37,1),(38,1),(62,1),(135,1)}
        26:{1,2,4,5,6}:{(15,1),(17,1),(34,1),(39,1),(40,1),(41,1),(65,1),(71,1),(72,1),(73,1),(75,1),(98,1),(103,1),(121,1),(136,1),(139,1)}
        27:{3,5,6}:{(15,1),(18,1),(35,1),(40,1)}
        28:{1,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{1,4,6}:{(18,1),(21,1),(40,1),(43,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(46,1),(126,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(47,1),(74,1)}
        33:{2,3,5,7}:{(20,1),(44,1),(46,1),(47,1),(75,1),(77,1),(105,1)}
        34:{1,2,4,5,7}:{(22,1),(24,1),(26,1),(48,1),(49,1),(50,1),(79,1),(80,1),(81,1),(84,1)}
        35:{3,5,7}:{(22,1),(25,1),(27,1),(49,1),(138,1)}
        36:{1,4,6,7}:{(23,1),(28,1),(50,1),(51,1),(79,1),(108,1)}
        37:{3,6,7}:{(24,1),(29,1),(48,1),(111,1),(129,1)}
        38:{1,4,6,7}:{(25,1),(30,1),(49,1),(52,1),(79,1),(137,1)}
        39:{3,5,6}:{(26,1),(29,1),(48,1),(54,1),(57,1),(116,1),(129,1),(138,1)}
        40:{1,5,6}:{(27,1),(30,1),(49,1)}
        41:{1,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(59,1)}
        43:{1,3,6}:{(29,1),(30,1),(32,1),(60,1)}
        44:{2,3,6}:{(29,1),(33,1),(59,1),(60,1)}
        45:{1,3,4,7}:{(31,1),(32,1),(58,1),(61,1),(79,1),(111,1)}
        46:{2,4,7}:{(31,1),(33,1),(59,1),(117,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(37,1),(39,1),(62,1)}
        49:{1,5,7}:{(35,1),(38,1),(40,1),(139,1)}
        50:{1,4,5,7}:{(36,1),(41,1),(65,1),(66,1)}
        51:{3,4,6,7}:{(36,1),(37,1),(42,1),(62,1),(66,1),(68,1),(93,1)}
        52:{1,3,6,7}:{(37,1),(38,1),(43,1),(63,1),(69,1),(133,1)}
        53:{2,3,6,7}:{(37,1),(44,1),(64,1),(68,1),(69,1),(118,1)}
        54:{3,4,6}:{(39,1),(62,1),(70,1),(71,1),(72,1),(104,1),(126,1)}
        55:{1,3,5,6}:{(39,1),(40,1),(43,1),(63,1),(71,1),(73,1),(74,1),(104,1),(125,1),(133,1),(139,1)}
        56:{2,3,5,6}:{(39,1),(44,1),(64,1),(72,1),(73,1),(75,1),(98,1),(101,1),(104,1),(105,1),(118,1)}
        57:{3,5}:{(41,1),(42,1),(75,1)}
        58:{1,3,4,6}:{(42,1),(43,1),(45,1),(71,1),(74,1),(76,1),(104,1),(126,1)}
        59:{2,4,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(54,1),(79,1),(80,1),(111,1)}
        63:{1,3,5,7}:{(48,1),(49,1),(52,1),(55,1),(79,1),(81,1),(111,1)}
        64:{2,3,5,7}:{(48,1),(53,1),(56,1),(80,1),(81,1),(84,1),(111,1)}
        65:{1,4,5,6}:{(50,1),(82,1),(108,1)}
        66:{3,5,7}:{(50,1),(51,1),(57,1),(82,1),(84,1)}
        67:{1,3,4,6,7}:{(51,1),(52,1),(58,1),(79,1),(83,1),(85,1),(108,1),(111,1),(129,1),(130,1),(137,1)}
        68:{2,4,6,7}:{(51,1),(53,1),(59,1),(80,1),(84,1),(109,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(60,1),(81,1),(127,1)}
        70:{3,4,5}:{(54,1),(57,1),(87,1),(88,1),(116,1),(138,1)}
        71:{1,4,6}:{(54,1),(55,1),(79,1),(87,1),(132,1)}
        72:{2,4,6}:{(54,1),(56,1),(80,1),(88,1),(117,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(60,1),(81,1),(89,1),(90,1),(114,1),(127,1)}
        74:{1,3,5}:{(57,1),(58,1),(87,1),(90,1),(116,1)}
        75:{2,5}:{(57,1),(59,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{2,3,7}:{(61,1),(91,1),(111,1)}
        78:{3,4,5,7}:{(62,1),(66,1),(70,1),(93,1),(94,1),(95,1),(122,1)}
        79:{1,4,7}:{(62,1),(63,1),(71,1)}
        80:{2,4,7}:{(62,1),(64,1),(72,1)}
        81:{1,2,5,7}:{(63,1),(64,1),(69,1),(73,1),(96,1)}
        82:{3,5,6}:{(65,1),(66,1),(93,1),(98,1)}
        83:{1,3,5,7}:{(66,1),(67,1),(74,1),(94,1),(97,1),(99,1),(122,1),(139,1)}
        84:{2,5,7}:{(66,1),(68,1),(75,1),(98,1)}
        85:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(96,1),(99,1),(100,1),(121,1),(124,1)}
        86:{2,3,4,6}:{(72,1),(92,1),(101,1),(102,1),(104,1),(118,1),(126,1),(135,1)}
        87:{1,4,5}:{(70,1),(71,1),(74,1),(139,1)}
        88:{2,4,5}:{(70,1),(72,1),(75,1),(101,1)}
        89:{1,2,4,6}:{(71,1),(72,1),(73,1),(96,1),(103,1),(104,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{2,3,6}:{(76,1),(77,1),(104,1),(105,1)}
        92:{2,3,4,7}:{(80,1),(86,1),(106,1),(107,1),(111,1),(130,1)}
        93:{3,4,6}:{(78,1),(82,1),(108,1),(109,1),(129,1)}
        94:{1,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(108,1)}
        95:{2,4,5,7}:{(78,1),(80,1),(84,1),(88,1),(106,1),(109,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(89,1),(111,1)}
        97:{1,3,5,6}:{(82,1),(83,1),(108,1),(112,1),(129,1)}
        98:{2,5,6}:{(82,1),(84,1),(109,1)}
        99:{1,2,5,7}:{(83,1),(84,1),(85,1),(90,1),(112,1),(113,1)}
       100:{2,3,6,7}:{(85,1),(91,1),(111,1),(113,1),(129,1)}
       101:{2,3,5}:{(86,1),(88,1),(114,1),(116,1),(138,1)}
       102:{1,2,4,6}:{(86,1),(107,1),(114,1),(115,1),(127,1),(132,1),(137,1)}
       103:{1,2,4,5}:{(87,1),(88,1),(89,1),(90,1),(114,1),(116,1),(117,1),(132,1)}
       104:{3,6}:{(89,1),(111,1),(116,1)}
       105:{2,3,5}:{(90,1),(91,1),(116,1),(117,1)}
       106:{2,3,5,7}:{(92,1),(95,1),(101,1),(118,1),(119,1),(122,1)}
       107:{1,2,4,7}:{(92,1),(102,1),(119,1),(120,1),(134,1)}
       108:{1,4,6}:{(93,1),(94,1),(97,1)}
       109:{2,4,6}:{(93,1),(95,1),(98,1),(118,1)}
       110:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(103,1),(119,1),(121,1),(122,1),(124,1),(134,1),(136,1),(139,1)}
       111:{3,7}:{(96,1),(104,1)}
       112:{1,2,5,6}:{(97,1),(98,1),(99,1),(121,1),(123,1),(139,1)}
       113:{2,3,5,7}:{(99,1),(100,1),(105,1),(122,1),(123,1),(124,1)}
       114:{1,2,5}:{(101,1),(102,1),(125,1),(139,1)}
       115:{1,3,6}:{(102,1),(104,1),(120,1),(125,1)}
       116:{3,5}:{(103,1),(104,1),(126,1)}
       117:{2,4}:{(105,1),(126,1)}
       118:{2,3,6}:{(106,1),(109,1),(127,1),(129,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(114,1),(127,1),(128,1)}
       120:{1,3,7}:{(107,1),(111,1),(115,1)}
       121:{1,2,4,6}:{(108,1),(109,1),(110,1),(112,1),(127,1),(129,1),(131,1),(137,1)}
       122:{3,5,7}:{(110,1),(111,1),(116,1),(129,1),(130,1),(138,1)}
       123:{2,3,5,6}:{(112,1),(113,1),(129,1),(131,1),(138,1)}
       124:{2,4,7}:{(113,1),(117,1),(130,1),(131,1)}
       125:{1,3,5}:{(114,1),(115,1),(116,1),(132,1)}
       126:{3,4}:{(116,1),(117,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{1,3,5,7}:{(119,1),(120,1),(122,1),(125,1),(133,1),(134,1),(139,1)}
       129:{3,6}:{(121,1),(122,1)}
       130:{3,4,7}:{(122,1),(124,1),(126,1),(134,1),(135,1)}
       131:{2,4,6}:{(123,1),(124,1),(135,1),(136,1)}
       132:{1,4}:{(125,1),(126,1)}
       133:{1,3,6}:{(127,1),(128,1),(129,1),(137,1)}
       134:{1,4,7}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,4,6}:{(129,1),(130,1),(131,1),(137,1),(138,1)}
       136:{2,4,5}:{(131,1),(138,1)}
       137:{1,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

1470 :   0:{1,2,3,6,7}:{(2,1),(3,1),(37,1),(71,1),(72,1),(76,1),(80,1),(104,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(37,1),(42,1),(45,1),(72,1),(96,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(6,1),(8,1),(22,1),(61,1),(64,1),(83,1),(88,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(23,1),(57,1),(62,1),(86,1),(87,1),(93,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(9,1),(10,1),(23,1),(60,1),(63,1)}
         5:{1,3,4,6,7}:{(2,1),(11,1),(15,1),(33,1),(37,1),(41,1),(67,1),(71,1),(95,1),(104,1)}
         6:{1,2,5,7}:{(2,1),(4,1),(11,1),(12,1),(79,1),(81,1),(94,1)}
         7:{1,2,3,5,6}:{(3,1),(12,1),(14,1),(37,1),(40,1),(74,1),(75,1),(76,1),(79,1),(80,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(95,1),(96,1),(100,1)}
         9:{2,3,5,6}:{(4,1),(12,1),(17,1),(37,1),(46,1)}
        10:{2,4,5,7}:{(4,1),(17,1),(18,1),(78,1),(96,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(19,1),(20,1),(23,1),(59,1),(82,1)}
        12:{1,2,5,6}:{(6,1),(9,1),(19,1),(22,1),(65,1),(84,1)}
        13:{1,2,4,5,7}:{(6,1),(8,1),(10,1),(20,1),(22,1),(23,1),(24,1),(31,1),(51,1),(57,1),(92,1),(101,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(89,1),(90,1)}
        15:{3,4,7}:{(8,1),(23,1),(25,1),(103,1)}
        16:{2,3,5,6,7}:{(9,1),(21,1),(28,1),(53,1),(63,1),(87,1)}
        17:{2,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(23,1),(30,1),(31,1),(58,1),(63,1),(85,1)}
        19:{1,3,5,6}:{(11,1),(12,1),(33,1),(37,1),(68,1)}
        20:{1,4,5,7}:{(11,1),(33,1),(34,1),(77,1),(95,1)}
        21:{1,2,5,6,7}:{(12,1),(16,1),(32,1),(35,1),(81,1),(94,1),(97,1)}
        22:{1,2,4,6}:{(12,1),(13,1),(17,1),(33,1),(37,1),(47,1),(69,1),(76,1)}
        23:{3,5,7}:{(13,1),(15,1),(37,1),(40,1),(99,1),(104,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(77,1),(78,1),(79,1)}
        25:{3,4,6}:{(14,1),(15,1),(37,1),(40,1)}
        26:{1,3,4,7}:{(15,1),(38,1),(41,1),(43,1),(95,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(39,1),(42,1),(43,1),(96,1),(104,1)}
        28:{2,4,6,7}:{(16,1),(17,1),(44,1),(45,1),(96,1)}
        29:{2,4,5,6}:{(17,1),(44,1),(46,1)}
        30:{3,4,6}:{(17,1),(18,1),(37,1),(46,1),(47,1)}
        31:{1,4,5,7}:{(18,1),(38,1),(47,1),(77,1),(81,1),(95,1)}
        32:{1,3,5,6,7}:{(19,1),(21,1),(48,1),(53,1),(82,1),(86,1)}
        33:{1,4,6}:{(19,1),(20,1),(50,1)}
        34:{3,4,5,7}:{(20,1),(23,1),(50,1),(51,1),(58,1),(82,1),(85,1)}
        35:{1,2,4,6,7}:{(21,1),(22,1),(28,1),(48,1),(52,1),(53,1),(64,1),(83,1),(88,1),(101,1)}
        36:{1,2,4,5,6}:{(22,1),(24,1),(29,1),(49,1),(52,1),(54,1),(65,1),(84,1),(89,1),(90,1),(91,1)}
        37:{3,6}:{(22,1),(23,1)}
        38:{1,3,5,7}:{(23,1),(26,1),(31,1),(55,1),(57,1),(59,1)}
        39:{2,3,5,7}:{(23,1),(27,1),(51,1),(56,1),(57,1),(60,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(26,1),(55,1),(59,1),(61,1),(89,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(27,1),(56,1),(60,1),(61,1),(90,1),(102,1),(103,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(57,1),(61,1),(62,1)}
        44:{2,4,5,7}:{(28,1),(29,1),(63,1)}
        45:{3,4,6,7}:{(28,1),(30,1),(53,1),(63,1),(64,1),(85,1)}
        46:{3,5,6}:{(29,1),(30,1),(63,1),(65,1)}
        47:{1,4,6}:{(30,1),(31,1),(55,1),(65,1)}
        48:{1,4,6,7}:{(32,1),(33,1),(66,1),(67,1),(95,1)}
        49:{1,4,5,6}:{(33,1),(66,1),(68,1)}
        50:{3,4,6}:{(33,1),(34,1),(37,1),(68,1),(69,1)}
        51:{2,4,5,7}:{(34,1),(39,1),(69,1),(78,1),(94,1),(96,1)}
        52:{1,2,4,5,7}:{(35,1),(36,1),(44,1),(66,1),(70,1),(81,1),(94,1),(95,1),(96,1),(97,1)}
        53:{3,6,7}:{(35,1),(37,1),(70,1),(104,1)}
        54:{3,5,6}:{(36,1),(37,1),(40,1),(70,1),(73,1)}
        55:{1,3,6}:{(37,1),(38,1),(47,1),(76,1)}
        56:{2,3,6}:{(37,1),(39,1),(69,1),(76,1)}
        57:{1,2,5,7}:{(38,1),(39,1),(43,1),(76,1),(79,1)}
        58:{3,4,5}:{(40,1),(73,1),(77,1),(78,1),(99,1)}
        59:{1,3,5}:{(40,1),(41,1),(77,1),(79,1),(99,1)}
        60:{2,3,5}:{(40,1),(42,1),(78,1),(79,1),(99,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(43,1),(76,1),(79,1),(80,1),(100,1)}
        62:{1,2,3,7}:{(43,1),(80,1),(104,1)}
        63:{3,5,7}:{(44,1),(45,1),(46,1),(81,1)}
        64:{1,4,6,7}:{(45,1),(47,1),(71,1),(81,1),(95,1)}
        65:{1,5,6}:{(46,1),(47,1),(81,1)}
        66:{1,4,5,7}:{(48,1),(49,1),(82,1)}
        67:{3,4,6,7}:{(48,1),(50,1),(53,1),(82,1),(83,1),(85,1)}
        68:{3,5,6}:{(49,1),(50,1),(82,1),(84,1)}
        69:{2,4,6}:{(50,1),(51,1),(56,1),(84,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{1,3,6,7}:{(53,1),(55,1),(64,1),(86,1),(88,1)}
        72:{2,3,6,7}:{(53,1),(56,1),(83,1),(87,1),(88,1)}
        73:{3,4,6}:{(54,1),(58,1),(85,1),(89,1),(90,1),(102,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(59,1),(65,1),(86,1),(89,1),(91,1),(102,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(60,1),(84,1),(87,1),(90,1),(91,1),(102,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{1,4,5}:{(58,1),(59,1),(89,1)}
        78:{2,4,5}:{(58,1),(60,1),(90,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(62,1),(93,1),(102,1)}
        81:{1,5,7}:{(63,1),(64,1),(65,1)}
        82:{3,5,7}:{(66,1),(67,1),(68,1),(94,1)}
        83:{2,4,6,7}:{(67,1),(69,1),(72,1),(94,1),(96,1)}
        84:{2,5,6}:{(68,1),(69,1),(94,1)}
        85:{3,4,7}:{(70,1),(73,1),(95,1),(96,1),(104,1)}
        86:{1,3,5,7}:{(70,1),(71,1),(74,1),(81,1),(95,1),(97,1),(104,1)}
        87:{2,3,5,7}:{(70,1),(72,1),(75,1),(94,1),(96,1),(97,1),(104,1)}
        88:{1,2,6,7}:{(71,1),(72,1),(76,1),(97,1)}
        89:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        90:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        91:{1,2,5,6}:{(74,1),(75,1),(76,1),(79,1),(97,1),(98,1)}
        92:{1,2,4,5}:{(77,1),(78,1),(79,1),(98,1),(99,1),(100,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(99,1),(100,1)}
        94:{2,5,7}:{(82,1),(83,1),(84,1)}
        95:{1,4,7}:{(85,1),(86,1),(89,1)}
        96:{2,4,7}:{(85,1),(87,1),(90,1)}
        97:{1,2,5,7}:{(86,1),(87,1),(88,1),(91,1),(101,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(92,1),(101,1),(102,1)}
        99:{3,5}:{(92,1),(102,1),(103,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       102:{3,6}:{(98,1),(99,1),(104,1)}
       103:{3,4}:{(99,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1471 :   0:{1,2,3,6}:{(2,1),(3,1),(4,1),(66,1),(119,1)}
         1:{2,3,4,6}:{(4,1),(5,1),(6,1),(18,1),(26,1),(27,1),(64,1),(66,1)}
         2:{1,2,3,5}:{(0,1),(9,1),(11,1),(34,1),(38,1),(89,1)}
         3:{1,2,3,7}:{(0,1),(10,1),(98,1),(147,1),(186,1)}
         4:{1,2,4,6}:{(0,1),(1,1),(7,1),(9,1),(10,1),(11,1),(42,1)}
         5:{2,3,4,7}:{(1,1),(10,1),(13,1),(37,1),(48,1),(98,1),(187,1)}
         6:{2,3,5}:{(1,1),(11,1),(12,1),(38,1),(96,1)}
         7:{1,3,4,6}:{(4,1),(16,1),(17,1),(18,1),(55,1),(56,1),(64,1),(66,1)}
         8:{1,2,3,5,7}:{(2,1),(3,1),(19,1),(20,1),(22,1),(58,1),(65,1),(67,1),(116,1),(118,1)}
         9:{1,2,4}:{(2,1),(18,1)}
        10:{1,2,4,7}:{(3,1),(4,1),(5,1),(16,1),(22,1),(205,1)}
        11:{1,2,5}:{(4,1),(6,1),(17,1)}
        12:{2,4,5}:{(6,1),(24,1),(26,1),(126,1)}
        13:{2,3,5,7}:{(5,1),(6,1),(22,1),(25,1),(27,1),(65,1),(206,1),(227,1)}
        14:{2,3,5,6}:{(6,1),(23,1),(26,1),(27,1),(28,1),(29,1),(66,1),(75,1),(127,1)}
        15:{2,4,5,6}:{(26,1),(29,1),(30,1),(75,1),(132,1)}
        16:{1,3,4,7}:{(7,1),(10,1),(32,1),(37,1),(85,1),(98,1),(188,1)}
        17:{1,3,5}:{(7,1),(11,1),(31,1),(38,1),(96,1)}
        18:{3,4}:{(9,1),(38,1)}
        19:{1,2,3,6}:{(8,1),(39,1),(42,1),(97,1),(146,1)}
        20:{1,2,4,7}:{(8,1),(9,1),(37,1),(39,1),(144,1)}
        21:{1,2,4,5}:{(9,1),(11,1),(12,1),(31,1),(38,1),(41,1),(44,1),(81,1),(89,1)}
        22:{1,2,5,7}:{(10,1),(11,1),(13,1),(32,1),(42,1),(218,1),(230,1)}
        23:{1,2,5,6}:{(11,1),(14,1),(33,1),(41,1),(42,1),(43,1),(50,1),(136,1)}
        24:{3,4,5}:{(12,1),(38,1),(44,1),(46,1)}
        25:{2,4,5,7}:{(12,1),(13,1),(45,1),(47,1),(48,1),(105,1),(195,1),(223,1)}
        26:{2,4,6}:{(12,1),(14,1),(46,1),(48,1),(154,1)}
        27:{2,3,6}:{(13,1),(42,1),(47,1),(97,1)}
        28:{2,3,5,7}:{(14,1),(43,1),(48,1),(49,1),(51,1),(98,1),(105,1),(155,1)}
        29:{3,5,6}:{(15,1),(46,1),(50,1),(51,1)}
        30:{2,4,5,7}:{(15,1),(48,1),(51,1),(52,1),(105,1),(158,1)}
        31:{1,4,5}:{(17,1),(53,1),(55,1),(126,1)}
        32:{1,3,5,7}:{(16,1),(17,1),(22,1),(54,1),(56,1),(65,1),(207,1),(228,1)}
        33:{1,3,5,6}:{(17,1),(23,1),(55,1),(56,1),(57,1),(66,1),(108,1),(114,1),(127,1)}
        34:{1,2,3}:{(59,1)}
        35:{2,3,4}:{(18,1),(59,1),(61,1)}
        36:{1,3,4}:{(18,1),(59,1),(63,1)}
        37:{3,4,7}:{(18,1),(20,1),(64,1),(65,1),(167,1),(177,1)}
        38:{3,5}:{(18,1),(21,1),(66,1)}
        39:{1,2,4,6}:{(19,1),(20,1),(64,1),(67,1)}
        40:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(25,1),(54,1),(65,1),(67,1),(68,1),(69,1),(71,1),(110,1),(118,1),(126,1),(129,1),(168,1),(177,1),(209,1)}
        41:{1,2,4,6}:{(21,1),(23,1),(26,1),(55,1),(66,1),(69,1),(72,1),(111,1),(119,1)}
        42:{1,2,6}:{(22,1),(27,1),(56,1)}
        43:{1,2,5,7}:{(23,1),(28,1),(57,1),(69,1),(70,1),(77,1),(160,1)}
        44:{1,4,5}:{(24,1),(63,1),(72,1)}
        45:{3,4,5,7}:{(24,1),(25,1),(65,1),(71,1),(73,1),(74,1),(126,1),(133,1),(174,1),(177,1),(213,1)}
        46:{3,4,6}:{(24,1),(26,1),(29,1),(66,1),(72,1),(74,1)}
        47:{2,4,6}:{(25,1),(27,1),(73,1),(75,1)}
        48:{2,4,7}:{(26,1),(28,1),(74,1),(177,1)}
        49:{2,3,6,7}:{(27,1),(28,1),(70,1),(76,1),(78,1),(128,1),(227,1)}
        50:{1,5,6}:{(29,1),(72,1),(77,1)}
        51:{3,5,7}:{(29,1),(30,1),(74,1),(77,1),(78,1)}
        52:{2,4,6,7}:{(30,1),(78,1),(79,1),(135,1)}
        53:{3,4,5}:{(31,1),(38,1),(81,1),(83,1)}
        54:{1,4,5,7}:{(31,1),(32,1),(82,1),(84,1),(85,1),(143,1),(192,1),(222,1)}
        55:{1,4,6}:{(31,1),(33,1),(83,1),(85,1),(154,1)}
        56:{1,3,6}:{(32,1),(42,1),(84,1),(97,1)}
        57:{1,3,5,7}:{(33,1),(43,1),(85,1),(86,1),(98,1),(137,1),(143,1),(155,1)}
        58:{1,2,3,7}:{(34,1),(87,1),(88,1),(221,1),(230,1)}
        59:{1,2,4}:{(34,1),(35,1),(36,1),(89,1)}
        60:{2,3,4,7}:{(35,1),(37,1),(88,1),(90,1),(91,1),(194,1),(221,1)}
        61:{2,3,5}:{(35,1),(38,1),(81,1),(89,1),(92,1)}
        62:{1,3,4,7}:{(36,1),(37,1),(88,1),(93,1),(94,1),(197,1),(221,1)}
        63:{1,3,5}:{(36,1),(38,1),(44,1),(89,1),(95,1)}
        64:{3,4,6}:{(37,1),(39,1),(96,1),(97,1),(154,1)}
        65:{3,5,7}:{(37,1),(38,1),(40,1),(96,1),(97,1),(98,1),(189,1),(221,1)}
        66:{3,6}:{(38,1),(41,1),(98,1)}
        67:{1,2,5}:{(39,1),(96,1)}
        68:{1,2,4,6}:{(40,1),(42,1),(47,1),(84,1),(97,1),(99,1),(101,1),(139,1),(146,1),(154,1)}
        69:{1,2,4,7}:{(41,1),(43,1),(48,1),(85,1),(98,1),(102,1),(140,1),(147,1)}
        70:{1,2,6,7}:{(42,1),(43,1),(49,1),(86,1),(106,1),(181,1),(230,1)}
        71:{1,4,5,7}:{(44,1),(45,1),(94,1),(101,1),(102,1),(151,1),(157,1),(197,1)}
        72:{1,4,6}:{(44,1),(46,1),(50,1),(95,1),(102,1)}
        73:{3,4,6}:{(45,1),(47,1),(97,1),(101,1),(103,1),(154,1)}
        74:{3,4,7}:{(46,1),(48,1),(51,1),(98,1),(102,1)}
        75:{2,5,6}:{(47,1),(103,1),(105,1)}
        76:{2,4,6,7}:{(47,1),(48,1),(49,1),(104,1),(105,1),(200,1),(223,1)}
        77:{1,5,7}:{(50,1),(51,1),(102,1),(106,1)}
        78:{3,6,7}:{(51,1),(52,1),(106,1)}
        79:{2,5,6,7}:{(52,1),(105,1),(107,1),(200,1)}
        80:{1,4,5,6}:{(55,1),(108,1),(109,1),(114,1),(165,1)}
        81:{2,4,5}:{(53,1),(61,1),(111,1)}
        82:{3,4,5,7}:{(53,1),(54,1),(65,1),(110,1),(112,1),(113,1),(126,1),(166,1),(171,1),(177,1),(211,1)}
        83:{3,4,6}:{(53,1),(55,1),(66,1),(108,1),(111,1),(113,1)}
        84:{1,4,6}:{(54,1),(56,1),(112,1),(114,1)}
        85:{1,4,7}:{(55,1),(57,1),(113,1),(177,1)}
        86:{1,3,6,7}:{(56,1),(57,1),(70,1),(115,1),(128,1),(161,1),(228,1)}
        87:{1,2,3,6}:{(58,1),(116,1),(117,1),(208,1),(226,1)}
        88:{1,2,4,7}:{(58,1),(59,1),(60,1),(62,1),(117,1),(118,1)}
        89:{1,2,5}:{(59,1),(61,1),(63,1),(119,1)}
        90:{2,3,4,6}:{(60,1),(64,1),(117,1),(120,1),(121,1),(167,1),(172,1),(208,1)}
        91:{2,3,5,7}:{(60,1),(61,1),(65,1),(110,1),(118,1),(120,1),(121,1),(122,1)}
        92:{2,3,6}:{(61,1),(66,1),(111,1),(119,1),(122,1)}
        93:{1,3,4,6}:{(62,1),(64,1),(117,1),(123,1),(124,1),(167,1),(175,1),(208,1)}
        94:{1,3,5,7}:{(62,1),(63,1),(65,1),(71,1),(118,1),(123,1),(124,1),(125,1)}
        95:{1,3,6}:{(63,1),(66,1),(72,1),(119,1),(125,1)}
        96:{3,5}:{(64,1),(67,1),(126,1)}
        97:{3,6}:{(65,1),(68,1)}
        98:{3,7}:{(66,1),(69,1)}
        99:{1,2,5,6}:{(67,1),(68,1),(75,1),(114,1),(127,1),(129,1),(130,1),(163,1)}
       100:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(76,1),(115,1),(128,1),(129,1),(131,1),(164,1),(170,1),(177,1),(209,1)}
       101:{1,4,6}:{(71,1),(73,1),(124,1),(130,1)}
       102:{1,4,7}:{(72,1),(74,1),(77,1),(125,1)}
       103:{3,5,6}:{(73,1),(75,1),(130,1),(132,1),(133,1)}
       104:{3,4,6,7}:{(73,1),(74,1),(76,1),(78,1),(128,1),(131,1),(133,1),(135,1),(177,1),(180,1),(213,1)}
       105:{2,5,7}:{(75,1),(76,1),(133,1)}
       106:{1,6,7}:{(77,1),(78,1)}
       107:{3,5,6,7}:{(78,1),(79,1),(133,1),(134,1),(135,1),(180,1)}
       108:{3,5,6}:{(80,1),(83,1),(136,1),(137,1)}
       109:{1,4,5,7}:{(80,1),(85,1),(137,1),(138,1),(143,1),(185,1)}
       110:{2,4,5,7}:{(81,1),(82,1),(91,1),(139,1),(140,1),(148,1),(184,1),(194,1)}
       111:{2,4,6}:{(81,1),(83,1),(92,1),(136,1),(140,1)}
       112:{3,4,6}:{(82,1),(84,1),(97,1),(139,1),(141,1),(154,1)}
       113:{3,4,7}:{(83,1),(85,1),(98,1),(137,1),(140,1)}
       114:{1,5,6}:{(84,1),(141,1),(143,1)}
       115:{1,4,6,7}:{(84,1),(85,1),(86,1),(142,1),(143,1),(222,1),(229,1)}
       116:{1,2,3,5}:{(87,1),(144,1),(145,1),(186,1),(189,1),(218,1)}
       117:{1,2,4,6}:{(87,1),(88,1),(90,1),(93,1),(144,1),(145,1),(146,1)}
       118:{1,2,5,7}:{(88,1),(89,1),(91,1),(94,1),(145,1),(146,1),(147,1)}
       119:{1,2,6}:{(89,1),(92,1),(95,1),(147,1)}
       120:{2,3,5}:{(90,1),(96,1),(145,1),(148,1),(189,1)}
       121:{2,3,6}:{(91,1),(97,1),(139,1),(146,1)}
       122:{2,3,7}:{(92,1),(98,1),(140,1),(147,1)}
       123:{1,3,5}:{(93,1),(96,1),(145,1),(151,1),(189,1)}
       124:{1,3,6}:{(94,1),(97,1),(101,1),(146,1)}
       125:{1,3,7}:{(95,1),(98,1),(102,1),(147,1)}
       126:{4,5}:{(96,1),(154,1)}
       127:{3,5,6}:{(96,1),(97,1),(99,1),(154,1),(155,1)}
       128:{3,6,7}:{(97,1),(98,1),(100,1),(155,1),(221,1)}
       129:{1,2,5,7}:{(99,1),(100,1),(105,1),(143,1),(155,1),(157,1),(184,1)}
       130:{1,5,6}:{(101,1),(103,1),(157,1)}
       131:{1,4,6,7}:{(101,1),(102,1),(104,1),(106,1),(153,1),(157,1),(197,1)}
       132:{4,5,6}:{(103,1),(154,1),(158,1)}
       133:{3,5,7}:{(103,1),(104,1),(105,1),(157,1),(158,1)}
       134:{1,5,6,7}:{(106,1),(107,1),(157,1),(159,1)}
       135:{4,6,7}:{(107,1),(158,1)}
       136:{2,5,6}:{(108,1),(111,1),(160,1)}
       137:{3,5,7}:{(108,1),(109,1),(113,1),(160,1),(161,1)}
       138:{1,4,6,7}:{(109,1),(161,1),(162,1),(202,1)}
       139:{2,4,6}:{(110,1),(112,1),(121,1),(163,1)}
       140:{2,4,7}:{(111,1),(113,1),(122,1),(160,1)}
       141:{3,5,6}:{(112,1),(114,1),(163,1),(165,1),(166,1)}
       142:{3,4,6,7}:{(112,1),(113,1),(115,1),(128,1),(161,1),(164,1),(166,1),(177,1),(202,1),(211,1),(224,1)}
       143:{1,5,7}:{(114,1),(115,1),(166,1)}
       144:{1,2,4}:{(116,1),(167,1)}
       145:{1,2,5}:{(117,1),(120,1),(123,1)}
       146:{1,2,6}:{(118,1),(121,1),(124,1)}
       147:{1,2,7}:{(119,1),(122,1),(125,1)}
       148:{2,4,5}:{(120,1),(126,1),(171,1),(172,1)}
       149:{2,3,5,6}:{(120,1),(121,1),(127,1),(163,1),(169,1),(172,1),(173,1),(203,1),(208,1)}
       150:{2,3,6,7}:{(121,1),(122,1),(128,1),(164,1),(170,1),(173,1),(224,1)}
       151:{1,4,5}:{(123,1),(126,1),(174,1),(175,1)}
       152:{1,3,5,6}:{(123,1),(124,1),(127,1),(130,1),(169,1),(175,1),(176,1),(178,1),(208,1)}
       153:{1,3,6,7}:{(124,1),(125,1),(128,1),(131,1),(170,1),(176,1),(180,1)}
       154:{4,6}:{(126,1),(127,1),(177,1)}
       155:{3,5,7}:{(127,1),(128,1),(129,1),(177,1)}
       156:{1,4,5,6}:{(130,1),(132,1),(175,1),(178,1),(179,1)}
       157:{1,5,7}:{(130,1),(131,1),(133,1)}
       158:{4,5,7}:{(132,1),(133,1),(135,1),(177,1)}
       159:{1,4,6,7}:{(134,1),(135,1),(179,1),(180,1)}
       160:{2,5,7}:{(136,1),(137,1),(140,1),(181,1)}
       161:{3,6,7}:{(137,1),(138,1),(181,1)}
       162:{1,5,6,7}:{(138,1),(143,1),(182,1),(229,1)}
       163:{2,5,6}:{(139,1),(141,1),(184,1)}
       164:{2,4,6,7}:{(139,1),(140,1),(142,1),(150,1),(181,1),(184,1),(194,1)}
       165:{4,5,6}:{(141,1),(154,1),(185,1)}
       166:{3,5,7}:{(141,1),(142,1),(143,1),(184,1),(185,1)}
       167:{3,4}:{(144,1),(189,1)}
       168:{1,2,4,5}:{(144,1),(145,1),(148,1),(151,1),(189,1),(190,1),(192,1),(195,1),(218,1)}
       169:{1,2,5,6}:{(145,1),(146,1),(149,1),(152,1),(190,1),(191,1),(198,1),(216,1)}
       170:{1,2,6,7}:{(146,1),(147,1),(150,1),(153,1),(191,1),(200,1),(229,1)}
       171:{3,4,5}:{(148,1),(189,1),(192,1),(193,1)}
       172:{2,4,6}:{(148,1),(149,1),(154,1),(193,1),(194,1)}
       173:{2,3,5,7}:{(149,1),(150,1),(155,1),(184,1),(191,1),(194,1),(217,1),(221,1)}
       174:{3,4,5}:{(151,1),(189,1),(195,1),(196,1)}
       175:{1,4,6}:{(151,1),(152,1),(154,1),(196,1),(197,1)}
       176:{1,3,5,7}:{(152,1),(153,1),(155,1),(157,1),(191,1),(197,1),(199,1),(221,1)}
       177:{4,7}:{(154,1),(155,1)}
       178:{3,5,6}:{(156,1),(196,1),(198,1),(199,1)}
       179:{1,4,5,7}:{(156,1),(157,1),(158,1),(159,1),(197,1),(199,1)}
       180:{3,6,7}:{(159,1),(199,1),(200,1)}
       181:{2,6,7}:{(160,1),(161,1)}
       182:{3,5,6,7}:{(161,1),(162,1),(166,1),(201,1),(202,1),(224,1)}
       183:{2,4,5,6}:{(163,1),(165,1),(172,1),(203,1),(204,1)}
       184:{2,5,7}:{(163,1),(164,1),(166,1)}
       185:{4,5,7}:{(165,1),(166,1),(177,1),(202,1)}
       186:{1,2,3}:{(205,1)}
       187:{2,3,4}:{(167,1),(205,1),(206,1)}
       188:{1,3,4}:{(167,1),(205,1),(207,1)}
       189:{3,5}:{(167,1),(168,1),(208,1)}
       190:{1,2,4,6}:{(168,1),(169,1),(172,1),(175,1),(208,1),(209,1),(210,1),(212,1),(226,1)}
       191:{1,2,5,7}:{(169,1),(170,1),(173,1),(176,1),(209,1),(214,1),(225,1)}
       192:{1,4,5}:{(171,1),(207,1),(210,1)}
       193:{3,4,6}:{(171,1),(172,1),(203,1),(208,1),(210,1),(211,1)}
       194:{2,4,7}:{(172,1),(173,1),(177,1),(211,1)}
       195:{2,4,5}:{(174,1),(206,1),(212,1)}
       196:{3,4,6}:{(174,1),(175,1),(178,1),(208,1),(212,1),(213,1)}
       197:{1,4,7}:{(175,1),(176,1),(177,1),(213,1)}
       198:{2,5,6}:{(178,1),(212,1),(214,1)}
       199:{3,5,7}:{(178,1),(179,1),(180,1),(213,1),(214,1)}
       200:{2,6,7}:{(180,1),(214,1)}
       201:{2,5,6,7}:{(181,1),(182,1),(184,1),(215,1)}
       202:{4,6,7}:{(182,1),(185,1)}
       203:{3,5,6}:{(183,1),(193,1),(216,1),(217,1)}
       204:{2,4,5,7}:{(183,1),(184,1),(185,1),(194,1),(215,1),(217,1)}
       205:{1,2,4}:{(186,1),(187,1),(188,1),(218,1)}
       206:{2,3,5}:{(187,1),(189,1),(195,1),(218,1),(219,1)}
       207:{1,3,5}:{(188,1),(189,1),(192,1),(218,1),(220,1)}
       208:{3,6}:{(189,1),(190,1),(221,1)}
       209:{1,2,4,7}:{(190,1),(191,1),(194,1),(197,1),(221,1),(222,1),(223,1),(230,1)}
       210:{1,4,6}:{(192,1),(193,1),(216,1),(220,1),(222,1)}
       211:{3,4,7}:{(193,1),(194,1),(217,1),(221,1),(222,1)}
       212:{2,4,6}:{(195,1),(196,1),(198,1),(219,1),(223,1)}
       213:{3,4,7}:{(196,1),(197,1),(199,1),(221,1),(223,1)}
       214:{2,5,7}:{(198,1),(199,1),(200,1),(223,1)}
       215:{2,4,6,7}:{(201,1),(202,1),(204,1),(224,1)}
       216:{1,5,6}:{(203,1),(210,1),(225,1)}
       217:{3,5,7}:{(203,1),(204,1),(211,1),(224,1),(225,1)}
       218:{1,2,5}:{(205,1),(206,1),(207,1),(226,1)}
       219:{2,3,6}:{(206,1),(208,1),(212,1),(226,1),(227,1)}
       220:{1,3,6}:{(207,1),(208,1),(210,1),(226,1),(228,1)}
       221:{3,7}:{(208,1),(209,1)}
       222:{1,4,7}:{(210,1),(211,1),(225,1),(228,1)}
       223:{2,4,7}:{(212,1),(213,1),(214,1),(227,1)}
       224:{3,6,7}:{(215,1),(217,1),(229,1)}
       225:{1,5,7}:{(216,1),(217,1),(222,1),(229,1)}
       226:{1,2,6}:{(218,1),(219,1),(220,1),(230,1)}
       227:{2,3,7}:{(219,1),(221,1),(223,1),(230,1)}
       228:{1,3,7}:{(220,1),(221,1),(222,1),(230,1)}
       229:{1,6,7}:{(224,1),(225,1)}
       230:{1,2,7}:{(226,1),(227,1),(228,1)}

1472 :   0:{1,3,4,5,7}:{(4,1),(5,1),(7,1),(51,1),(65,1),(97,1),(104,1),(109,1),(112,1),(117,1)}
         1:{1,3,4,6,7}:{(5,1),(6,1),(7,1),(9,1),(32,1),(65,1),(70,1)}
         2:{1,3,5,6,7}:{(7,1),(8,1),(9,1),(10,1),(32,1),(108,1)}
         3:{1,4,5,6,7}:{(9,1),(10,1),(158,1)}
         4:{1,2,4,5,7}:{(0,1),(11,1),(12,1),(15,1),(34,1),(44,1),(75,1),(79,1)}
         5:{1,3,4,6}:{(0,1),(12,1),(13,1),(80,1),(135,1),(138,1),(143,1)}
         6:{1,2,4,6,7}:{(1,1),(12,1),(14,1),(15,1),(44,1)}
         7:{1,3,5,7}:{(1,1),(13,1),(15,1),(16,1),(45,1),(95,1)}
         8:{1,2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(20,1),(84,1),(95,1)}
         9:{1,4,6,7}:{(2,1),(16,1),(19,1),(135,1)}
        10:{3,5,6,7}:{(3,1),(19,1),(20,1),(180,1)}
        11:{2,3,5,7}:{(4,1),(22,1),(23,1),(56,1),(112,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(23,1),(24,1),(57,1)}
        13:{1,3,5,6}:{(5,1),(7,1),(24,1),(25,1),(58,1),(97,1),(120,1)}
        14:{2,3,6,7}:{(6,1),(23,1),(28,1),(32,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(24,1),(28,1)}
        16:{1,4,5,7}:{(7,1),(9,1),(25,1),(30,1)}
        17:{2,3,5,6,7}:{(8,1),(28,1),(31,1),(32,1),(63,1),(69,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(29,1),(31,1),(32,1),(33,1),(70,1),(71,1),(111,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(30,1),(32,1),(33,1),(160,1)}
        20:{2,5,6,7}:{(10,1),(33,1),(196,1)}
        21:{1,2,3,5,7}:{(11,1),(34,1),(35,1),(72,1),(75,1)}
        22:{2,3,4,7}:{(11,1),(34,1),(37,1),(44,1),(86,1)}
        23:{2,3,6}:{(11,1),(12,1),(138,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(15,1),(38,1),(75,1)}
        25:{1,4,5,6}:{(13,1),(16,1),(40,1),(123,1),(135,1)}
        26:{1,2,3,6,7}:{(14,1),(35,1),(41,1),(42,1),(49,1),(121,1),(138,1),(184,1),(185,1)}
        27:{2,3,4,6,7}:{(14,1),(37,1),(41,1),(43,1),(44,1),(48,1),(86,1),(88,1),(138,1)}
        28:{2,3,5,7}:{(14,1),(15,1),(38,1),(44,1),(45,1)}
        29:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(46,1),(47,1),(90,1),(92,1),(95,1)}
        30:{3,4,5,7}:{(16,1),(19,1),(40,1),(45,1),(46,1)}
        31:{2,4,6,7}:{(17,1),(44,1),(47,1),(48,1),(88,1)}
        32:{3,6,7}:{(18,1),(45,1),(138,1)}
        33:{2,4,6,7}:{(19,1),(20,1),(46,1),(50,1),(182,1)}
        34:{1,2,4,7}:{(21,1),(22,1),(51,1),(53,1)}
        35:{1,2,3,6}:{(21,1),(23,1),(53,1),(96,1)}
        36:{2,3,4,5,7}:{(22,1),(52,1),(55,1),(56,1),(64,1),(102,1),(112,1),(148,1),(161,1),(186,1)}
        37:{2,3,4,6}:{(22,1),(23,1),(53,1),(56,1),(57,1),(101,1)}
        38:{2,3,5,6}:{(23,1),(24,1),(28,1),(56,1),(57,1),(58,1)}
        39:{1,2,4,5,6}:{(24,1),(25,1),(29,1),(57,1),(58,1),(59,1),(68,1),(100,1),(105,1),(107,1),(111,1),(120,1)}
        40:{3,4,5,6}:{(25,1),(30,1),(58,1),(59,1),(148,1),(160,1)}
        41:{1,2,4,6,7}:{(26,1),(27,1),(53,1),(60,1),(61,1),(62,1),(70,1),(111,1),(197,1)}
        42:{1,2,3,5,7}:{(26,1),(28,1),(54,1),(61,1),(62,1),(66,1),(112,1),(146,1),(165,1),(166,1),(191,1)}
        43:{2,3,5,7}:{(27,1),(56,1),(61,1),(63,1),(64,1),(69,1),(112,1)}
        44:{2,4,7}:{(28,1),(57,1),(65,1)}
        45:{3,5,7}:{(29,1),(32,1),(58,1),(65,1)}
        46:{2,4,5,7}:{(30,1),(33,1),(59,1),(67,1)}
        47:{2,4,5,7}:{(31,1),(68,1),(69,1)}
        48:{3,4,6,7}:{(31,1),(32,1),(65,1),(69,1),(70,1),(116,1)}
        49:{1,3,6,7}:{(32,1),(66,1),(70,1),(71,1),(163,1)}
        50:{2,3,6,7}:{(32,1),(33,1),(67,1),(71,1),(164,1)}
        51:{1,3,4,7}:{(34,1),(72,1),(73,1),(86,1),(168,1)}
        52:{1,2,4,5,7}:{(34,1),(36,1),(72,1),(74,1),(75,1),(123,1),(124,1),(168,1)}
        53:{1,2,4,6}:{(34,1),(35,1),(37,1),(73,1),(75,1)}
        54:{1,2,3,5,6}:{(35,1),(38,1),(42,1),(75,1),(76,1),(81,1),(84,1),(122,1),(126,1),(138,1),(174,1),(175,1),(176,1),(185,1)}
        55:{2,3,4,6}:{(36,1),(74,1),(78,1),(88,1),(138,1),(169,1),(182,1)}
        56:{2,3,5}:{(37,1),(75,1),(79,1),(126,1)}
        57:{2,4,6}:{(38,1),(44,1),(79,1),(80,1)}
        58:{3,5,6}:{(39,1),(45,1),(80,1),(126,1),(138,1)}
        59:{2,4,5,6}:{(40,1),(46,1),(82,1),(171,1),(182,1)}
        60:{1,3,4,6,7}:{(41,1),(73,1),(83,1),(86,1),(121,1),(135,1),(138,1),(168,1),(181,1)}
        61:{1,2,5,7}:{(41,1),(43,1),(75,1),(83,1),(84,1),(95,1),(205,1)}
        62:{1,2,4,7}:{(42,1),(44,1),(76,1),(86,1),(90,1),(168,1),(200,1)}
        63:{2,3,5,6}:{(43,1),(84,1),(88,1),(94,1),(138,1)}
        64:{2,4,5,7}:{(43,1),(44,1),(79,1),(88,1),(89,1)}
        65:{3,4,7}:{(44,1),(45,1),(80,1),(90,1)}
        66:{1,3,5,7}:{(45,1),(49,1),(81,1),(90,1),(92,1),(95,1),(144,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(50,1),(82,1),(91,1),(92,1)}
        68:{2,4,5,6}:{(47,1),(88,1),(94,1)}
        69:{3,5,7}:{(47,1),(48,1),(94,1),(95,1)}
        70:{1,4,6,7}:{(48,1),(49,1),(90,1),(95,1),(143,1)}
        71:{1,2,6,7}:{(49,1),(50,1),(92,1),(185,1)}
        72:{1,3,5,7}:{(51,1),(52,1),(96,1),(97,1),(112,1)}
        73:{1,3,4,6}:{(51,1),(53,1),(96,1),(97,1),(101,1),(147,1)}
        74:{1,2,4,6}:{(52,1),(55,1),(96,1),(99,1),(147,1)}
        75:{1,2,5}:{(53,1),(56,1),(97,1)}
        76:{1,2,4,6}:{(54,1),(57,1),(62,1),(100,1),(101,1),(105,1),(147,1),(188,1)}
        77:{2,3,4,6,7}:{(55,1),(98,1),(102,1),(115,1),(162,1),(186,1),(197,1)}
        78:{2,3,5,6}:{(55,1),(56,1),(99,1),(102,1),(103,1),(150,1),(196,1)}
        79:{2,4,5}:{(56,1),(57,1),(104,1)}
        80:{3,4,6}:{(57,1),(58,1),(65,1),(104,1),(105,1)}
        81:{1,3,5,6}:{(58,1),(66,1),(105,1),(107,1),(120,1),(151,1),(157,1),(163,1)}
        82:{2,3,5,6}:{(58,1),(59,1),(67,1),(106,1),(107,1),(152,1),(164,1)}
        83:{1,3,5,7}:{(60,1),(61,1),(97,1),(108,1),(109,1),(112,1),(195,1)}
        84:{1,2,5,6}:{(61,1),(63,1),(108,1),(111,1),(120,1),(196,1)}
        85:{1,2,4,5,7}:{(61,1),(62,1),(64,1),(100,1),(109,1),(111,1),(112,1),(117,1),(161,1),(165,1)}
        86:{3,4,7}:{(62,1),(101,1),(112,1)}
        87:{2,3,5,6,7}:{(63,1),(102,1),(110,1),(115,1),(119,1),(162,1)}
        88:{2,4,6}:{(63,1),(64,1),(116,1)}
        89:{3,4,5,7}:{(64,1),(65,1),(69,1),(104,1),(112,1),(116,1),(117,1)}
        90:{1,4,7}:{(65,1),(66,1),(105,1)}
        91:{2,3,4,7}:{(65,1),(67,1),(106,1),(118,1)}
        92:{1,2,5,7}:{(66,1),(67,1),(71,1),(107,1),(118,1)}
        93:{2,4,5,6,7}:{(68,1),(115,1),(119,1)}
        94:{3,5,6}:{(68,1),(69,1),(116,1),(120,1)}
        95:{1,5,7}:{(69,1),(70,1),(120,1)}
        96:{1,3,6}:{(72,1),(74,1),(138,1)}
        97:{1,3,5}:{(73,1),(75,1),(123,1),(126,1)}
        98:{1,2,4,6,7}:{(74,1),(77,1),(121,1),(124,1),(168,1)}
        99:{1,2,5,6}:{(74,1),(75,1),(78,1),(122,1),(124,1)}
       100:{1,2,4,5}:{(75,1),(76,1),(79,1),(123,1),(126,1),(131,1),(171,1),(175,1)}
       101:{3,4,6}:{(76,1),(86,1),(126,1),(138,1)}
       102:{2,3,5,7}:{(77,1),(78,1),(124,1),(129,1),(172,1),(205,1)}
       103:{2,4,5,6}:{(78,1),(79,1),(88,1),(129,1),(130,1)}
       104:{3,4,5}:{(79,1),(80,1),(126,1),(131,1)}
       105:{1,4,6}:{(80,1),(81,1),(90,1),(131,1)}
       106:{2,3,4,6}:{(80,1),(82,1),(91,1),(132,1),(133,1)}
       107:{1,2,5,6}:{(81,1),(82,1),(92,1),(133,1),(175,1),(185,1)}
       108:{1,3,5,6}:{(83,1),(84,1),(135,1),(138,1),(180,1)}
       109:{1,4,5,7}:{(83,1),(123,1),(135,1),(136,1),(168,1)}
       110:{1,2,5,6,7}:{(84,1),(87,1),(124,1),(134,1),(137,1),(145,1),(205,1)}
       111:{1,2,4,6}:{(84,1),(85,1),(88,1),(135,1),(138,1),(143,1),(182,1),(185,1)}
       112:{3,5,7}:{(85,1),(86,1),(126,1),(138,1)}
       113:{1,3,4,7}:{(86,1),(90,1),(127,1),(139,1),(141,1),(144,1)}
       114:{2,3,4,7}:{(86,1),(128,1),(140,1),(141,1),(200,1),(209,1)}
       115:{2,4,6,7}:{(87,1),(88,1),(129,1),(142,1)}
       116:{3,4,6}:{(88,1),(89,1),(94,1),(138,1),(143,1)}
       117:{1,4,5,7}:{(89,1),(90,1),(95,1),(131,1),(139,1),(143,1)}
       118:{1,2,4,7}:{(90,1),(91,1),(92,1),(133,1),(144,1)}
       119:{3,5,6,7}:{(93,1),(94,1),(142,1),(145,1)}
       120:{1,5,6}:{(94,1),(95,1),(143,1)}
       121:{1,3,6,7}:{(96,1),(98,1),(146,1),(162,1)}
       122:{1,3,5,6}:{(96,1),(97,1),(99,1),(146,1),(147,1),(150,1)}
       123:{1,4,5}:{(97,1),(147,1),(148,1)}
       124:{1,2,5,7}:{(98,1),(99,1),(102,1),(146,1)}
       125:{1,2,4,5,6}:{(99,1),(100,1),(103,1),(111,1),(147,1),(149,1),(150,1),(155,1),(158,1),(188,1),(192,1),(196,1)}
       126:{3,5}:{(100,1),(101,1)}
       127:{1,3,4,6}:{(101,1),(105,1),(113,1),(151,1),(153,1),(157,1),(163,1),(194,1)}
       128:{2,3,4,6}:{(101,1),(114,1),(152,1),(153,1),(164,1),(188,1),(207,1),(208,1)}
       129:{2,4,5,7}:{(102,1),(103,1),(115,1),(154,1)}
       130:{3,4,5,6}:{(103,1),(104,1),(116,1),(150,1),(154,1),(155,1)}
       131:{1,4,5}:{(104,1),(105,1),(151,1)}
       132:{2,3,4,5}:{(104,1),(106,1),(152,1),(156,1),(208,1)}
       133:{1,2,4,6}:{(105,1),(106,1),(107,1),(118,1),(156,1),(157,1)}
       134:{1,3,5,6,7}:{(108,1),(110,1),(146,1),(159,1),(162,1),(195,1)}
       135:{1,4,6}:{(108,1),(109,1),(160,1)}
       136:{3,4,5,7}:{(109,1),(112,1),(148,1),(160,1),(161,1),(186,1),(195,1)}
       137:{1,2,4,6,7}:{(110,1),(111,1),(115,1),(149,1),(159,1),(162,1),(167,1),(197,1),(198,1)}
       138:{3,6}:{(111,1),(112,1)}
       139:{1,3,5,7}:{(112,1),(113,1),(117,1),(151,1),(163,1),(165,1)}
       140:{2,3,5,7}:{(112,1),(114,1),(152,1),(161,1),(164,1),(165,1)}
       141:{1,2,4,7}:{(113,1),(114,1),(153,1),(165,1),(166,1)}
       142:{3,4,6,7}:{(115,1),(116,1),(119,1),(154,1),(162,1),(167,1)}
       143:{1,4,6}:{(116,1),(117,1),(120,1),(163,1)}
       144:{1,3,7}:{(118,1),(157,1)}
       145:{1,5,6,7}:{(119,1),(120,1),(167,1)}
       146:{1,3,5,7}:{(121,1),(122,1),(124,1),(168,1),(172,1)}
       147:{1,4,6}:{(122,1),(123,1),(168,1),(169,1)}
       148:{3,4,5}:{(123,1),(126,1),(169,1),(171,1)}
       149:{1,2,4,5,7}:{(124,1),(125,1),(129,1),(137,1),(168,1),(172,1),(177,1),(179,1),(200,1),(203,1),(205,1)}
       150:{3,5,6}:{(125,1),(126,1),(138,1),(169,1),(172,1)}
       151:{1,3,5}:{(126,1),(127,1),(131,1),(175,1)}
       152:{2,3,5}:{(126,1),(128,1),(171,1),(175,1)}
       153:{1,2,4,6}:{(127,1),(128,1),(141,1),(175,1),(176,1),(185,1),(204,1)}
       154:{3,4,5,7}:{(129,1),(130,1),(142,1),(172,1),(177,1)}
       155:{1,4,5,6}:{(130,1),(131,1),(143,1),(173,1),(177,1)}
       156:{1,2,4,5}:{(131,1),(132,1),(133,1),(175,1),(178,1),(204,1)}
       157:{1,3,6}:{(133,1),(144,1),(178,1)}
       158:{1,4,5,6}:{(135,1),(179,1),(180,1)}
       159:{1,4,6,7}:{(134,1),(135,1),(168,1),(179,1),(181,1)}
       160:{3,4,6}:{(135,1),(136,1),(138,1),(180,1),(182,1)}
       161:{2,4,5,7}:{(136,1),(140,1),(171,1),(182,1),(200,1),(205,1)}
       162:{3,6,7}:{(137,1),(138,1),(172,1)}
       163:{1,3,6}:{(138,1),(139,1),(143,1),(185,1)}
       164:{2,3,6}:{(138,1),(140,1),(182,1),(185,1)}
       165:{1,2,5,7}:{(139,1),(140,1),(141,1),(175,1),(185,1)}
       166:{1,2,3,7}:{(141,1),(144,1),(176,1),(209,1)}
       167:{1,4,6,7}:{(142,1),(143,1),(145,1),(177,1),(183,1)}
       168:{1,4,7}:{(146,1),(147,1),(186,1)}
       169:{3,4,6}:{(147,1),(148,1),(150,1),(186,1),(188,1)}
       170:{1,3,4,5}:{(148,1),(151,1),(187,1),(189,1),(194,1)}
       171:{2,4,5}:{(148,1),(152,1),(188,1)}
       172:{3,5,7}:{(149,1),(150,1),(162,1),(186,1)}
       173:{1,3,5,6}:{(150,1),(151,1),(155,1),(163,1),(187,1),(190,1),(192,1)}
       174:{2,3,5,6}:{(150,1),(152,1),(164,1),(188,1),(191,1),(192,1),(196,1),(207,1)}
       175:{1,2,5}:{(151,1),(152,1),(153,1)}
       176:{1,2,3,6}:{(153,1),(157,1),(166,1),(193,1),(207,1)}
       177:{1,4,5,7}:{(154,1),(155,1),(167,1),(190,1)}
       178:{1,3,5}:{(156,1),(157,1),(194,1)}
       179:{1,4,5,7}:{(158,1),(159,1),(195,1)}
       180:{3,5,6}:{(158,1),(160,1),(195,1),(196,1)}
       181:{3,4,6,7}:{(159,1),(160,1),(162,1),(186,1),(195,1),(197,1)}
       182:{2,4,6}:{(160,1),(161,1),(164,1),(196,1)}
       183:{1,3,6,7}:{(162,1),(163,1),(167,1),(190,1),(198,1)}
       184:{2,3,6,7}:{(162,1),(164,1),(191,1),(197,1),(198,1)}
       185:{1,2,6}:{(163,1),(164,1),(165,1)}
       186:{3,4,7}:{(168,1),(169,1),(172,1),(200,1)}
       187:{1,3,4,6}:{(169,1),(170,1),(173,1),(199,1),(201,1)}
       188:{2,4,6}:{(169,1),(171,1),(174,1),(200,1)}
       189:{1,2,4,5}:{(170,1),(171,1),(175,1),(201,1),(202,1),(204,1)}
       190:{1,3,5,7}:{(172,1),(173,1),(177,1),(183,1),(199,1),(203,1)}
       191:{2,3,5,7}:{(172,1),(174,1),(184,1),(200,1),(203,1),(205,1),(209,1)}
       192:{1,2,5,6}:{(173,1),(174,1),(175,1),(185,1),(201,1),(203,1)}
       193:{1,2,3,5}:{(175,1),(176,1),(178,1),(202,1),(204,1)}
       194:{1,3,4}:{(178,1),(204,1)}
       195:{3,5,7}:{(179,1),(180,1),(181,1),(205,1)}
       196:{2,5,6}:{(180,1),(182,1),(205,1)}
       197:{2,4,6,7}:{(181,1),(182,1),(184,1),(200,1),(205,1)}
       198:{1,2,6,7}:{(183,1),(184,1),(185,1),(203,1)}
       199:{1,3,4,7}:{(186,1),(187,1),(190,1),(206,1)}
       200:{2,4,7}:{(186,1),(188,1),(191,1)}
       201:{1,2,4,6}:{(187,1),(188,1),(189,1),(192,1),(206,1),(207,1)}
       202:{2,3,5}:{(189,1),(207,1),(208,1)}
       203:{1,2,5,7}:{(190,1),(191,1),(192,1),(198,1),(206,1)}
       204:{1,2,4}:{(193,1),(194,1),(208,1)}
       205:{2,5,7}:{(195,1),(196,1),(197,1)}
       206:{1,2,4,7}:{(199,1),(200,1),(201,1),(203,1),(209,1)}
       207:{2,3,6}:{(201,1),(202,1),(209,1)}
       208:{2,3,4}:{(202,1),(204,1)}
       209:{2,3,7}:{(206,1),(207,1)}

1473 :   0:{2,4,5,6}:{(4,1),(5,1),(30,1),(31,1),(87,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(30,1),(40,1),(85,1),(90,1),(129,1),(144,1)}
         2:{3,4,5}:{(11,1),(13,1),(14,1),(61,1)}
         3:{2,5,6,7}:{(10,1),(15,1),(98,1),(113,1)}
         4:{2,4,5,7}:{(0,1),(15,1),(16,1),(52,1),(55,1),(113,1)}
         5:{3,5,6}:{(0,1),(11,1),(16,1),(17,1)}
         6:{2,3,5}:{(1,1),(14,1),(20,1),(61,1),(153,1),(166,1)}
         7:{2,3,4,7}:{(1,1),(19,1),(21,1),(55,1),(111,1),(115,1),(119,1),(152,1)}
         8:{1,2,4,6}:{(1,1),(20,1),(21,1),(22,1),(66,1),(68,1),(123,1)}
         9:{1,3,4}:{(24,1),(26,1),(90,1)}
        10:{3,5,6,7}:{(3,1),(23,1),(27,1),(36,1),(70,1),(81,1)}
        11:{3,4,6}:{(2,1),(5,1),(28,1),(29,1),(30,1),(85,1)}
        12:{3,4,5,7}:{(2,1),(28,1),(32,1),(33,1),(34,1),(77,1),(81,1),(89,1),(124,1),(180,1),(183,1)}
        13:{1,4,5}:{(2,1),(24,1),(29,1)}
        14:{2,4,5}:{(2,1),(6,1),(30,1),(183,1)}
        15:{2,4,6,7}:{(3,1),(4,1),(27,1),(36,1)}
        16:{3,5,7}:{(4,1),(5,1),(28,1),(36,1),(37,1)}
        17:{1,5,6}:{(5,1),(29,1),(37,1)}
        18:{2,3,5,6}:{(5,1),(6,1),(30,1),(38,1),(39,1),(40,1),(85,1),(87,1),(143,1)}
        19:{2,3,5,7}:{(6,1),(7,1),(34,1),(40,1),(41,1),(89,1),(135,1),(169,1),(173,1)}
        20:{1,2,5}:{(6,1),(8,1),(42,1),(147,1)}
        21:{1,2,4,7}:{(7,1),(8,1),(41,1),(43,1),(95,1),(138,1)}
        22:{1,3,6}:{(8,1),(42,1),(43,1),(85,1)}
        23:{1,5,6,7}:{(10,1),(44,1),(62,1),(112,1)}
        24:{1,3,5}:{(9,1),(13,1),(45,1),(48,1),(61,1)}
        25:{1,3,4,7}:{(9,1),(47,1),(49,1),(50,1),(119,1),(148,1),(186,1),(203,1)}
        26:{1,2,4}:{(9,1),(48,1),(51,1),(106,1)}
        27:{4,6,7}:{(10,1),(52,1)}
        28:{3,4,7}:{(11,1),(16,1),(54,1),(55,1),(115,1)}
        29:{1,4,6}:{(11,1),(13,1),(17,1),(45,1),(54,1)}
        30:{2,4,6}:{(11,1),(14,1),(18,1),(55,1),(165,1)}
        31:{4,5,6}:{(52,1),(57,1),(165,1)}
        32:{3,4,6}:{(12,1),(57,1),(58,1),(59,1),(118,1),(165,1)}
        33:{1,4,5,7}:{(12,1),(13,1),(47,1),(54,1),(58,1),(107,1),(112,1),(148,1)}
        34:{2,4,5,7}:{(12,1),(14,1),(19,1),(55,1),(59,1),(108,1),(113,1),(149,1)}
        35:{1,2,4,5}:{(13,1),(14,1),(20,1),(48,1),(56,1),(61,1),(68,1),(106,1),(122,1),(153,1)}
        36:{3,6,7}:{(15,1),(16,1),(62,1)}
        37:{1,5,7}:{(16,1),(17,1),(54,1),(62,1)}
        38:{2,3,5,7}:{(16,1),(18,1),(55,1),(63,1),(64,1),(113,1),(115,1),(162,1)}
        39:{1,2,5,6}:{(17,1),(18,1),(20,1),(56,1),(64,1),(65,1),(66,1),(153,1),(189,1)}
        40:{2,3,6}:{(19,1),(59,1),(66,1),(118,1),(189,1)}
        41:{1,2,5,7}:{(19,1),(20,1),(21,1),(66,1),(67,1),(158,1),(185,1)}
        42:{1,3,5}:{(20,1),(22,1),(61,1),(68,1)}
        43:{1,3,7}:{(21,1),(22,1),(115,1),(161,1)}
        44:{1,4,6,7}:{(23,1),(27,1),(69,1),(70,1)}
        45:{1,3,6}:{(24,1),(29,1),(71,1),(72,1),(85,1)}
        46:{1,4,5,6}:{(31,1),(69,1),(73,1),(86,1),(130,1)}
        47:{1,3,5,7}:{(24,1),(25,1),(33,1),(71,1),(74,1),(75,1),(78,1),(89,1),(207,1)}
        48:{1,2,5}:{(24,1),(26,1),(72,1),(76,1)}
        49:{1,3,4,6}:{(25,1),(74,1),(78,1),(79,1),(130,1),(144,1),(175,1),(179,1),(200,1)}
        50:{1,2,4,7}:{(25,1),(26,1),(75,1),(79,1),(80,1),(134,1)}
        51:{2,3}:{(26,1)}
        52:{4,5,7}:{(27,1),(31,1),(81,1),(180,1)}
        53:{3,4,6,7}:{(27,1),(28,1),(32,1),(36,1),(70,1),(81,1),(82,1),(83,1),(124,1),(140,1),(180,1)}
        54:{1,4,7}:{(28,1),(29,1),(37,1),(71,1)}
        55:{2,4,7}:{(28,1),(30,1),(38,1),(180,1)}
        56:{1,2,4,6}:{(29,1),(30,1),(35,1),(39,1),(72,1),(84,1),(85,1),(93,1),(129,1)}
        57:{3,5,6}:{(31,1),(32,1),(81,1),(86,1),(87,1)}
        58:{1,4,6}:{(32,1),(33,1),(74,1),(86,1)}
        59:{2,4,6}:{(32,1),(34,1),(40,1),(87,1)}
        60:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(41,1),(75,1),(84,1),(88,1),(89,1),(95,1),(134,1),(136,1),(139,1),(146,1),(147,1),(170,1),(173,1),(177,1),(180,1),(183,1),(198,1),(207,1)}
        61:{3,5}:{(35,1),(85,1),(90,1)}
        62:{1,6,7}:{(36,1),(37,1)}
        63:{2,3,6,7}:{(36,1),(38,1),(40,1),(83,1),(91,1),(140,1),(169,1)}
        64:{1,2,5,7}:{(37,1),(38,1),(39,1),(84,1),(91,1),(92,1),(173,1)}
        65:{1,3,5,6}:{(39,1),(42,1),(85,1),(92,1),(93,1),(94,1),(142,1),(143,1),(147,1),(182,1),(184,1)}
        66:{1,2,6}:{(40,1),(41,1),(94,1)}
        67:{1,3,5,7}:{(41,1),(42,1),(43,1),(89,1),(94,1),(95,1),(147,1),(178,1),(196,1),(207,1)}
        68:{1,4}:{(42,1),(90,1)}
        69:{1,4,5,7}:{(44,1),(46,1),(52,1),(96,1),(112,1),(148,1)}
        70:{3,6,7}:{(44,1),(96,1),(98,1)}
        71:{1,3,7}:{(45,1),(54,1),(99,1),(115,1)}
        72:{1,2,6}:{(45,1),(48,1),(99,1),(100,1)}
        73:{3,5,6}:{(46,1),(96,1),(101,1),(103,1)}
        74:{1,3,6}:{(47,1),(58,1),(104,1),(118,1),(209,1)}
        75:{1,2,5,7}:{(47,1),(48,1),(50,1),(99,1),(104,1),(105,1),(109,1)}
        76:{2,3,5}:{(48,1),(51,1),(61,1),(100,1),(106,1),(153,1)}
        77:{3,4,5}:{(101,1),(107,1),(108,1),(159,1)}
        78:{1,3,5}:{(49,1),(107,1),(109,1),(159,1),(166,1),(206,1)}
        79:{1,2,4,6}:{(49,1),(50,1),(104,1),(109,1),(110,1),(157,1),(160,1)}
        80:{2,3,7}:{(50,1),(51,1),(110,1),(186,1)}
        81:{3,5,7}:{(52,1),(53,1),(57,1),(112,1),(113,1)}
        82:{1,4,6,7}:{(53,1),(54,1),(58,1),(62,1),(97,1),(112,1),(148,1)}
        83:{2,4,6,7}:{(53,1),(55,1),(59,1),(63,1),(98,1),(113,1),(149,1)}
        84:{1,2,4,7}:{(54,1),(55,1),(56,1),(64,1),(99,1),(115,1),(121,1),(152,1)}
        85:{3,6}:{(56,1),(61,1),(115,1)}
        86:{1,5,6}:{(57,1),(58,1),(112,1)}
        87:{2,5,6}:{(57,1),(59,1),(113,1)}
        88:{1,2,4,6}:{(58,1),(59,1),(60,1),(66,1),(104,1),(117,1),(118,1),(123,1),(157,1),(165,1),(168,1),(189,1),(205,1),(209,1)}
        89:{3,5,7}:{(60,1),(61,1),(115,1),(118,1),(119,1),(159,1),(166,1),(186,1)}
        90:{3,4}:{(61,1),(68,1),(106,1)}
        91:{1,2,6,7}:{(62,1),(63,1),(64,1),(66,1),(120,1),(185,1),(189,1)}
        92:{1,3,5,7}:{(64,1),(65,1),(115,1),(120,1),(121,1),(162,1),(164,1),(167,1)}
        93:{1,4,6}:{(65,1),(68,1),(116,1),(121,1),(122,1),(165,1)}
        94:{1,3,6}:{(66,1),(67,1),(118,1),(123,1),(209,1)}
        95:{1,4,7}:{(67,1),(68,1),(119,1),(123,1),(193,1)}
        96:{3,5,7}:{(69,1),(70,1),(73,1),(124,1),(126,1)}
        97:{1,3,6,7}:{(70,1),(71,1),(74,1),(82,1),(125,1),(127,1),(140,1)}
        98:{2,6,7}:{(70,1),(126,1)}
        99:{1,2,7}:{(71,1),(72,1),(128,1)}
       100:{2,3,6}:{(72,1),(76,1),(85,1),(128,1),(129,1)}
       101:{3,4,6}:{(73,1),(77,1),(124,1),(130,1),(131,1),(175,1)}
       102:{1,3,5,6}:{(73,1),(74,1),(78,1),(86,1),(125,1),(130,1),(132,1),(143,1),(175,1)}
       103:{2,5,6}:{(73,1),(126,1),(131,1)}
       104:{1,2,6}:{(74,1),(75,1),(133,1)}
       105:{2,3,5,7}:{(75,1),(76,1),(80,1),(89,1),(128,1),(133,1),(134,1),(137,1),(173,1),(177,1)}
       106:{2,4}:{(76,1),(90,1)}
       107:{1,4,5}:{(77,1),(78,1),(130,1),(183,1)}
       108:{2,4,5}:{(77,1),(131,1),(135,1)}
       109:{1,2,5}:{(78,1),(79,1),(137,1),(177,1)}
       110:{2,3,6}:{(79,1),(80,1),(137,1),(175,1)}
       111:{2,3,4}:{(135,1),(138,1),(179,1)}
       112:{1,5,7}:{(81,1),(82,1),(86,1)}
       113:{2,5,7}:{(81,1),(83,1),(87,1)}
       114:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(88,1),(91,1),(127,1),(139,1),(140,1),(145,1),(170,1),(172,1),(180,1)}
       115:{3,7}:{(84,1),(85,1)}
       116:{3,4,6}:{(85,1),(90,1),(93,1),(129,1),(141,1),(142,1),(182,1)}
       117:{1,2,5,6}:{(86,1),(87,1),(88,1),(139,1),(143,1),(147,1),(177,1),(184,1),(199,1)}
       118:{3,6}:{(88,1),(89,1)}
       119:{3,4,7}:{(89,1),(90,1),(95,1),(134,1),(144,1),(179,1),(180,1)}
       120:{1,3,6,7}:{(91,1),(92,1),(94,1),(140,1),(145,1),(182,1),(196,1)}
       121:{1,4,7}:{(92,1),(93,1),(141,1),(180,1)}
       122:{1,4,5}:{(93,1),(142,1),(147,1),(183,1)}
       123:{1,4,6}:{(94,1),(95,1),(144,1),(147,1)}
       124:{3,4,7}:{(96,1),(101,1),(148,1),(149,1),(186,1)}
       125:{1,3,5,7}:{(96,1),(97,1),(102,1),(112,1),(148,1),(150,1),(162,1),(186,1)}
       126:{2,5,7}:{(96,1),(98,1),(103,1),(149,1)}
       127:{1,2,6,7}:{(97,1),(98,1),(99,1),(104,1),(150,1),(151,1),(209,1)}
       128:{2,3,7}:{(99,1),(100,1),(115,1),(152,1)}
       129:{2,4,6}:{(100,1),(106,1),(116,1),(152,1),(153,1),(189,1)}
       130:{1,4,6}:{(101,1),(102,1),(107,1),(148,1),(165,1)}
       131:{2,4,6}:{(101,1),(103,1),(108,1),(149,1),(154,1)}
       132:{1,2,5,6}:{(102,1),(103,1),(104,1),(109,1),(150,1),(155,1),(156,1),(206,1),(209,1)}
       133:{2,3,6}:{(104,1),(105,1),(118,1),(157,1),(189,1)}
       134:{2,4,7}:{(105,1),(106,1),(119,1),(157,1),(160,1)}
       135:{2,3,5}:{(108,1),(111,1),(154,1),(158,1),(159,1)}
       136:{1,2,4,5}:{(107,1),(108,1),(109,1),(155,1),(158,1),(159,1),(160,1),(192,1),(193,1),(206,1)}
       137:{2,3,5}:{(109,1),(110,1),(159,1),(160,1)}
       138:{1,2,4}:{(111,1),(158,1),(161,1),(193,1)}
       139:{1,2,5,7}:{(112,1),(113,1),(114,1),(117,1),(162,1),(167,1),(188,1)}
       140:{3,6,7}:{(114,1),(115,1),(118,1),(162,1),(186,1)}
       141:{3,4,7}:{(115,1),(116,1),(121,1),(152,1),(164,1)}
       142:{3,5}:{(116,1),(122,1),(153,1)}
       143:{3,5,6}:{(117,1),(118,1),(162,1),(165,1),(166,1)}
       144:{3,4,6}:{(118,1),(119,1),(123,1),(157,1),(165,1),(166,1)}
       145:{1,4,6,7}:{(120,1),(121,1),(123,1),(163,1),(167,1),(168,1),(203,1),(209,1)}
       146:{1,4,5,7}:{(121,1),(122,1),(164,1),(167,1),(168,1),(194,1)}
       147:{1,5}:{(123,1),(166,1)}
       148:{1,4,7}:{(124,1),(125,1),(130,1),(180,1)}
       149:{2,4,7}:{(124,1),(126,1),(131,1),(169,1)}
       150:{1,2,5,7}:{(125,1),(126,1),(127,1),(132,1),(170,1),(171,1),(207,1)}
       151:{2,3,6,7}:{(127,1),(128,1),(133,1),(140,1),(171,1),(172,1),(208,1)}
       152:{2,4,7}:{(128,1),(129,1),(141,1),(173,1)}
       153:{2,5}:{(129,1),(142,1)}
       154:{2,3,6}:{(131,1),(135,1),(169,1),(174,1),(175,1)}
       155:{1,2,4,6}:{(130,1),(131,1),(132,1),(136,1),(170,1),(174,1),(175,1),(176,1),(200,1)}
       156:{2,3,5,6}:{(132,1),(133,1),(137,1),(143,1),(171,1),(175,1),(176,1),(177,1),(199,1),(201,1),(208,1)}
       157:{2,4,6}:{(133,1),(134,1),(144,1),(177,1)}
       158:{1,2,5}:{(135,1),(138,1),(174,1),(178,1)}
       159:{3,5}:{(136,1),(175,1),(179,1)}
       160:{2,4}:{(137,1),(179,1)}
       161:{1,3}:{(138,1)}
       162:{3,5,7}:{(139,1),(140,1),(143,1),(180,1)}
       163:{3,4,6,7}:{(140,1),(141,1),(144,1),(145,1),(172,1),(180,1),(181,1),(182,1),(197,1),(202,1),(208,1)}
       164:{3,5,7}:{(141,1),(142,1),(146,1),(173,1),(182,1)}
       165:{4,6}:{(143,1),(180,1),(183,1)}
       166:{3,5}:{(144,1),(147,1),(177,1),(183,1)}
       167:{1,5,7}:{(145,1),(147,1),(181,1),(184,1)}
       168:{1,4,6}:{(146,1),(182,1),(184,1),(202,1)}
       169:{2,3,7}:{(149,1),(154,1),(185,1),(186,1)}
       170:{1,2,4,7}:{(148,1),(149,1),(150,1),(155,1),(185,1),(186,1),(187,1),(203,1)}
       171:{2,3,5,7}:{(150,1),(151,1),(156,1),(162,1),(186,1),(187,1),(188,1),(204,1)}
       172:{2,4,6,7}:{(151,1),(152,1),(157,1),(163,1),(187,1),(188,1),(189,1),(205,1)}
       173:{2,5,7}:{(152,1),(153,1),(164,1),(189,1)}
       174:{1,2,6}:{(154,1),(158,1),(185,1),(190,1)}
       175:{3,6}:{(155,1),(159,1),(186,1)}
       176:{2,4,6}:{(156,1),(160,1),(165,1),(187,1),(191,1),(192,1)}
       177:{2,5}:{(157,1),(166,1)}
       178:{1,3,5}:{(158,1),(159,1),(161,1),(190,1),(193,1),(206,1)}
       179:{3,4}:{(159,1),(160,1),(193,1)}
       180:{4,7}:{(162,1),(165,1)}
       181:{3,5,7}:{(163,1),(166,1),(167,1),(188,1),(194,1),(195,1)}
       182:{3,6}:{(164,1),(168,1),(189,1)}
       183:{4,5}:{(165,1),(166,1)}
       184:{1,5,6}:{(167,1),(168,1),(195,1),(209,1)}
       185:{1,2,7}:{(169,1),(174,1),(196,1)}
       186:{3,7}:{(170,1),(175,1)}
       187:{2,4,7}:{(171,1),(176,1),(180,1),(197,1)}
       188:{2,5,7}:{(172,1),(177,1),(181,1),(199,1)}
       189:{2,6}:{(173,1),(182,1)}
       190:{1,3,6}:{(174,1),(175,1),(178,1),(196,1),(200,1)}
       191:{3,4,6}:{(175,1),(176,1),(179,1),(197,1),(200,1),(201,1),(208,1)}
       192:{2,4,5}:{(176,1),(177,1),(183,1),(201,1)}
       193:{1,4}:{(178,1),(179,1)}
       194:{4,5,7}:{(180,1),(181,1),(183,1),(202,1)}
       195:{3,5,6}:{(181,1),(182,1),(184,1),(199,1),(202,1),(208,1)}
       196:{1,3,7}:{(185,1),(186,1),(190,1),(203,1)}
       197:{3,4,7}:{(186,1),(187,1),(191,1),(203,1),(204,1)}
       198:{2,4,5,7}:{(187,1),(188,1),(192,1),(194,1),(204,1),(205,1)}
       199:{2,5,6}:{(188,1),(189,1),(195,1),(205,1)}
       200:{1,4,6}:{(190,1),(191,1),(193,1),(203,1),(206,1),(209,1)}
       201:{3,5}:{(191,1),(192,1),(206,1)}
       202:{4,6}:{(194,1),(195,1)}
       203:{1,4,7}:{(196,1),(197,1),(200,1),(207,1)}
       204:{3,5,7}:{(197,1),(198,1),(201,1),(207,1),(208,1)}
       205:{2,4,6}:{(198,1),(199,1),(202,1),(208,1)}
       206:{1,5}:{(200,1),(201,1)}
       207:{1,5,7}:{(203,1),(204,1),(206,1),(209,1)}
       208:{3,6}:{(204,1),(205,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

1474 :   0:{1,2,3,6}:{(3,1),(5,1),(6,1),(78,1),(86,1)}
         1:{2,3,4,6}:{(5,1),(7,1),(8,1),(31,1),(35,1),(46,1),(86,1),(88,1)}
         2:{2,4,5,6}:{(9,1),(10,1),(35,1),(93,1),(97,1)}
         3:{1,2,3,5}:{(0,1),(11,1),(13,1),(20,1),(51,1),(57,1)}
         4:{3,4,5}:{(15,1),(16,1),(17,1),(57,1)}
         5:{1,2,4,6}:{(0,1),(1,1),(13,1),(19,1),(20,1),(21,1),(72,1)}
         6:{1,2,3,7}:{(0,1),(21,1),(109,1),(118,1),(210,1)}
         7:{2,3,5}:{(1,1),(15,1),(20,1),(57,1),(120,1)}
         8:{2,3,4,7}:{(1,1),(21,1),(23,1),(58,1),(62,1),(118,1),(167,1)}
         9:{3,5,6}:{(2,1),(17,1),(24,1),(25,1)}
        10:{2,4,5,7}:{(2,1),(25,1),(26,1),(62,1),(123,1),(126,1)}
        11:{1,2,3}:{(27,1)}
        12:{1,3,4}:{(27,1),(29,1),(31,1)}
        13:{1,2,4}:{(3,1),(31,1)}
        14:{1,2,3,5,7}:{(3,1),(6,1),(28,1),(33,1),(34,1),(44,1),(79,1),(81,1),(87,1),(91,1)}
        15:{2,4,5}:{(4,1),(7,1),(35,1),(149,1)}
        16:{1,4,5}:{(4,1),(29,1),(37,1)}
        17:{3,4,6}:{(4,1),(9,1),(35,1),(37,1),(39,1),(86,1)}
        18:{3,4,5,7}:{(4,1),(36,1),(38,1),(39,1),(40,1),(87,1),(96,1),(143,1),(149,1),(192,1),(197,1)}
        19:{1,3,4,6}:{(5,1),(31,1),(41,1),(42,1),(86,1),(88,1),(98,1),(101,1)}
        20:{1,2,5}:{(5,1),(7,1),(41,1)}
        21:{1,2,4,7}:{(5,1),(6,1),(8,1),(42,1),(44,1),(191,1)}
        22:{2,3,5,6}:{(7,1),(9,1),(35,1),(43,1),(45,1),(46,1),(86,1),(93,1),(148,1)}
        23:{2,3,5,7}:{(7,1),(8,1),(36,1),(44,1),(46,1),(87,1),(190,1),(220,1)}
        24:{1,5,6}:{(9,1),(37,1),(47,1)}
        25:{3,5,7}:{(9,1),(10,1),(39,1),(47,1),(48,1)}
        26:{2,4,6,7}:{(10,1),(48,1),(49,1),(104,1)}
        27:{1,2,4}:{(11,1),(12,1),(50,1),(51,1)}
        28:{1,2,3,7}:{(11,1),(52,1),(53,1),(206,1),(227,1)}
        29:{1,3,5}:{(12,1),(16,1),(51,1),(54,1),(57,1)}
        30:{1,3,4,7}:{(12,1),(52,1),(55,1),(56,1),(58,1),(168,1),(206,1)}
        31:{3,4}:{(13,1),(57,1)}
        32:{1,2,4,5}:{(13,1),(15,1),(16,1),(20,1),(51,1),(57,1),(59,1),(68,1),(105,1)}
        33:{1,2,4,7}:{(13,1),(14,1),(58,1),(61,1),(112,1)}
        34:{1,2,3,6}:{(14,1),(61,1),(72,1),(110,1),(119,1)}
        35:{2,4,6}:{(15,1),(17,1),(22,1),(62,1),(175,1)}
        36:{2,4,5,7}:{(15,1),(18,1),(23,1),(62,1),(63,1),(123,1),(170,1),(211,1)}
        37:{1,4,6}:{(16,1),(17,1),(24,1),(54,1),(64,1)}
        38:{1,4,5,7}:{(16,1),(18,1),(55,1),(64,1),(65,1),(115,1),(124,1),(168,1)}
        39:{3,4,7}:{(17,1),(25,1),(62,1),(64,1),(118,1)}
        40:{3,4,6}:{(18,1),(63,1),(65,1),(67,1),(119,1),(175,1)}
        41:{1,3,5}:{(19,1),(20,1),(57,1),(68,1),(120,1)}
        42:{1,3,4,7}:{(19,1),(21,1),(58,1),(70,1),(118,1),(128,1),(166,1)}
        43:{1,2,5,6}:{(20,1),(22,1),(24,1),(59,1),(69,1),(71,1),(72,1),(157,1)}
        44:{1,2,5,7}:{(20,1),(21,1),(23,1),(70,1),(72,1),(209,1),(227,1)}
        45:{2,3,5,7}:{(22,1),(25,1),(62,1),(71,1),(73,1),(118,1),(123,1),(174,1)}
        46:{2,3,6}:{(23,1),(63,1),(72,1),(119,1)}
        47:{1,5,7}:{(24,1),(25,1),(64,1),(74,1)}
        48:{3,6,7}:{(25,1),(26,1),(74,1)}
        49:{2,5,6,7}:{(26,1),(75,1),(123,1),(180,1)}
        50:{2,3,4}:{(27,1),(31,1),(76,1)}
        51:{1,2,5}:{(27,1),(29,1),(76,1),(78,1)}
        52:{1,2,4,7}:{(27,1),(28,1),(30,1),(77,1),(79,1),(80,1)}
        53:{1,2,3,6}:{(28,1),(80,1),(81,1),(188,1),(221,1)}
        54:{1,3,6}:{(29,1),(37,1),(78,1),(82,1),(86,1)}
        55:{1,3,5,7}:{(29,1),(30,1),(38,1),(79,1),(82,1),(83,1),(84,1),(87,1)}
        56:{1,3,4,6}:{(30,1),(80,1),(83,1),(84,1),(88,1),(140,1),(142,1),(188,1)}
        57:{3,5}:{(31,1),(32,1),(86,1)}
        58:{3,4,7}:{(31,1),(33,1),(87,1),(88,1),(140,1),(197,1)}
        59:{1,2,4,6}:{(32,1),(35,1),(37,1),(43,1),(78,1),(86,1),(89,1),(98,1),(132,1)}
        60:{1,2,4,5,7}:{(32,1),(33,1),(36,1),(38,1),(44,1),(79,1),(87,1),(89,1),(90,1),(91,1),(99,1),(133,1),(139,1),(149,1),(150,1),(187,1),(197,1)}
        61:{1,2,4,6}:{(33,1),(34,1),(88,1),(91,1)}
        62:{2,4,7}:{(35,1),(39,1),(45,1),(197,1)}
        63:{2,4,6}:{(36,1),(40,1),(46,1),(93,1)}
        64:{1,4,7}:{(37,1),(39,1),(47,1),(82,1)}
        65:{1,4,6}:{(38,1),(40,1),(83,1),(95,1)}
        66:{3,4,6,7}:{(39,1),(40,1),(48,1),(92,1),(94,1),(96,1),(104,1),(147,1),(156,1),(192,1),(197,1)}
        67:{3,5,6}:{(40,1),(93,1),(95,1),(96,1),(97,1)}
        68:{1,4,5}:{(41,1),(85,1),(98,1),(149,1)}
        69:{1,3,5,6}:{(41,1),(43,1),(86,1),(98,1),(100,1),(101,1),(144,1),(148,1),(155,1)}
        70:{1,3,5,7}:{(41,1),(42,1),(44,1),(87,1),(99,1),(101,1),(189,1),(219,1)}
        71:{1,2,5,7}:{(43,1),(45,1),(47,1),(89,1),(100,1),(102,1),(181,1)}
        72:{1,2,6}:{(44,1),(46,1),(101,1)}
        73:{2,3,6,7}:{(45,1),(46,1),(48,1),(92,1),(102,1),(147,1),(220,1)}
        74:{1,6,7}:{(47,1),(48,1)}
        75:{3,5,6,7}:{(48,1),(49,1),(96,1),(103,1),(104,1),(156,1)}
        76:{2,3,5}:{(50,1),(51,1),(57,1),(105,1),(106,1)}
        77:{2,3,4,7}:{(50,1),(52,1),(58,1),(107,1),(108,1),(203,1),(206,1)}
        78:{1,2,6}:{(51,1),(54,1),(106,1),(109,1)}
        79:{1,2,5,7}:{(51,1),(52,1),(55,1),(107,1),(109,1),(110,1),(111,1)}
        80:{1,2,4,6}:{(52,1),(53,1),(56,1),(108,1),(110,1),(111,1),(112,1)}
        81:{1,2,3,5}:{(53,1),(111,1),(112,1),(165,1),(209,1),(210,1)}
        82:{1,3,7}:{(54,1),(64,1),(109,1),(118,1)}
        83:{1,3,6}:{(55,1),(65,1),(110,1),(119,1)}
        84:{1,3,5}:{(56,1),(111,1),(115,1),(120,1),(165,1)}
        85:{3,4,5}:{(57,1),(68,1),(105,1),(116,1)}
        86:{3,6}:{(57,1),(59,1),(118,1)}
        87:{3,5,7}:{(57,1),(58,1),(60,1),(118,1),(119,1),(120,1),(165,1),(206,1)}
        88:{3,4,6}:{(58,1),(61,1),(119,1),(120,1),(175,1)}
        89:{1,2,4,7}:{(59,1),(62,1),(64,1),(71,1),(109,1),(118,1),(128,1),(158,1)}
        90:{1,2,4,6}:{(60,1),(63,1),(65,1),(72,1),(110,1),(119,1),(122,1),(129,1),(159,1),(175,1)}
        91:{1,2,5}:{(61,1),(120,1)}
        92:{2,4,6,7}:{(62,1),(63,1),(66,1),(73,1),(123,1),(180,1),(211,1)}
        93:{2,5,6}:{(63,1),(67,1),(123,1)}
        94:{1,4,6,7}:{(64,1),(65,1),(66,1),(74,1),(113,1),(124,1),(168,1)}
        95:{1,5,6}:{(65,1),(67,1),(124,1)}
        96:{3,5,7}:{(66,1),(67,1),(123,1),(124,1),(126,1)}
        97:{4,5,6}:{(67,1),(126,1),(175,1)}
        98:{1,4,6}:{(68,1),(69,1),(116,1),(128,1),(175,1)}
        99:{1,4,5,7}:{(68,1),(70,1),(117,1),(128,1),(129,1),(179,1),(205,1),(226,1)}
       100:{1,3,5,7}:{(69,1),(71,1),(118,1),(128,1),(130,1),(171,1),(174,1),(179,1)}
       101:{1,3,6}:{(70,1),(72,1),(119,1),(129,1)}
       102:{1,2,6,7}:{(71,1),(72,1),(73,1),(74,1),(130,1),(200,1),(227,1)}
       103:{1,5,6,7}:{(74,1),(75,1),(124,1),(131,1)}
       104:{4,6,7}:{(75,1),(126,1)}
       105:{2,4,5}:{(76,1),(85,1),(132,1)}
       106:{2,3,6}:{(76,1),(78,1),(86,1),(132,1),(134,1)}
       107:{2,3,5,7}:{(76,1),(77,1),(79,1),(87,1),(133,1),(134,1),(135,1),(136,1)}
       108:{2,3,4,6}:{(77,1),(80,1),(88,1),(135,1),(136,1),(140,1),(185,1),(188,1)}
       109:{1,2,7}:{(78,1),(82,1),(134,1)}
       110:{1,2,6}:{(79,1),(83,1),(135,1)}
       111:{1,2,5}:{(80,1),(84,1),(136,1)}
       112:{1,2,4}:{(81,1),(140,1)}
       113:{1,3,6,7}:{(82,1),(83,1),(94,1),(137,1),(141,1),(147,1),(156,1)}
       114:{1,3,5,6}:{(83,1),(84,1),(95,1),(138,1),(141,1),(142,1),(148,1),(152,1),(188,1)}
       115:{1,4,5}:{(84,1),(142,1),(143,1),(149,1)}
       116:{3,4,6}:{(85,1),(86,1),(98,1),(132,1),(144,1),(145,1)}
       117:{3,4,5,7}:{(85,1),(87,1),(99,1),(133,1),(145,1),(146,1),(149,1),(186,1),(195,1),(197,1),(217,1)}
       118:{3,7}:{(86,1),(89,1)}
       119:{3,6}:{(87,1),(90,1)}
       120:{3,5}:{(88,1),(91,1),(149,1)}
       121:{1,2,4,6,7}:{(89,1),(90,1),(92,1),(94,1),(102,1),(137,1),(147,1),(150,1),(154,1),(182,1),(187,1),(197,1)}
       122:{1,2,5,6}:{(90,1),(91,1),(93,1),(95,1),(148,1),(150,1),(155,1),(183,1)}
       123:{2,5,7}:{(92,1),(93,1),(96,1)}
       124:{1,5,7}:{(94,1),(95,1),(96,1)}
       125:{1,4,5,6}:{(95,1),(97,1),(142,1),(151,1),(152,1)}
       126:{4,5,7}:{(96,1),(97,1),(104,1),(197,1)}
       127:{1,4,5,6}:{(98,1),(144,1),(153,1),(155,1),(196,1)}
       128:{1,4,7}:{(98,1),(100,1),(145,1),(197,1)}
       129:{1,4,6}:{(99,1),(101,1),(146,1),(155,1)}
       130:{1,3,6,7}:{(100,1),(101,1),(102,1),(147,1),(154,1),(194,1),(219,1)}
       131:{1,4,6,7}:{(103,1),(104,1),(151,1),(156,1)}
       132:{2,4,6}:{(105,1),(106,1),(116,1),(157,1),(158,1)}
       133:{2,4,5,7}:{(105,1),(107,1),(117,1),(158,1),(159,1),(162,1),(201,1),(203,1)}
       134:{2,3,7}:{(106,1),(109,1),(118,1),(158,1)}
       135:{2,3,6}:{(107,1),(110,1),(119,1),(159,1)}
       136:{2,3,5}:{(108,1),(111,1),(120,1),(162,1),(165,1)}
       137:{1,2,6,7}:{(109,1),(110,1),(113,1),(160,1),(163,1),(180,1),(230,1)}
       138:{1,2,5,6}:{(110,1),(111,1),(114,1),(161,1),(163,1),(164,1),(177,1),(225,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(115,1),(162,1),(164,1),(165,1),(170,1),(205,1),(209,1)}
       140:{3,4}:{(112,1),(165,1)}
       141:{1,3,5,7}:{(113,1),(114,1),(124,1),(163,1),(168,1),(174,1),(176,1),(206,1)}
       142:{1,4,6}:{(114,1),(115,1),(168,1),(169,1),(175,1)}
       143:{3,4,5}:{(115,1),(165,1),(169,1),(170,1)}
       144:{3,5,6}:{(116,1),(127,1),(157,1),(171,1)}
       145:{3,4,7}:{(116,1),(118,1),(128,1),(158,1),(171,1)}
       146:{3,4,6}:{(117,1),(119,1),(129,1),(159,1),(173,1),(175,1)}
       147:{3,6,7}:{(118,1),(119,1),(121,1),(174,1),(206,1)}
       148:{3,5,6}:{(119,1),(120,1),(122,1),(174,1),(175,1)}
       149:{4,5}:{(120,1),(175,1)}
       150:{1,2,5,7}:{(121,1),(122,1),(123,1),(124,1),(174,1),(179,1),(201,1)}
       151:{1,4,5,7}:{(124,1),(125,1),(126,1),(131,1),(168,1),(176,1)}
       152:{3,5,6}:{(125,1),(169,1),(176,1),(177,1)}
       153:{1,4,5,7}:{(127,1),(128,1),(171,1),(178,1),(179,1),(213,1)}
       154:{1,4,6,7}:{(128,1),(129,1),(130,1),(172,1),(179,1),(226,1),(230,1)}
       155:{1,5,6}:{(129,1),(173,1),(179,1)}
       156:{3,6,7}:{(131,1),(176,1),(180,1)}
       157:{2,5,6}:{(132,1),(144,1),(181,1)}
       158:{2,4,7}:{(132,1),(134,1),(145,1),(181,1)}
       159:{2,4,6}:{(133,1),(135,1),(146,1),(183,1)}
       160:{2,3,6,7}:{(134,1),(135,1),(137,1),(147,1),(182,1),(184,1),(228,1)}
       161:{2,3,5,6}:{(135,1),(136,1),(138,1),(148,1),(183,1),(184,1),(185,1),(188,1),(216,1)}
       162:{2,4,5}:{(136,1),(149,1),(185,1),(186,1)}
       163:{1,2,5,7}:{(137,1),(138,1),(141,1),(184,1),(187,1),(198,1),(229,1)}
       164:{1,2,4,6}:{(138,1),(139,1),(142,1),(185,1),(187,1),(188,1),(193,1),(218,1),(221,1)}
       165:{3,5}:{(139,1),(140,1),(188,1)}
       166:{1,3,4}:{(140,1),(189,1),(191,1)}
       167:{2,3,4}:{(140,1),(190,1),(191,1)}
       168:{1,4,7}:{(141,1),(142,1),(192,1),(197,1)}
       169:{3,4,6}:{(142,1),(143,1),(152,1),(188,1),(192,1),(193,1)}
       170:{2,4,5}:{(143,1),(190,1),(193,1)}
       171:{3,5,7}:{(144,1),(145,1),(153,1),(181,1),(194,1)}
       172:{3,4,6,7}:{(145,1),(146,1),(147,1),(154,1),(182,1),(194,1),(195,1),(197,1),(217,1),(222,1),(228,1)}
       173:{3,5,6}:{(146,1),(155,1),(183,1),(195,1),(196,1)}
       174:{3,5,7}:{(147,1),(148,1),(150,1),(197,1)}
       175:{4,6}:{(148,1),(149,1),(197,1)}
       176:{3,5,7}:{(151,1),(152,1),(156,1),(192,1),(198,1)}
       177:{2,5,6}:{(152,1),(193,1),(198,1)}
       178:{1,4,6,7}:{(153,1),(194,1),(199,1),(222,1)}
       179:{1,5,7}:{(154,1),(155,1),(195,1)}
       180:{2,6,7}:{(156,1),(198,1)}
       181:{2,5,7}:{(157,1),(158,1),(171,1),(200,1)}
       182:{2,4,6,7}:{(158,1),(159,1),(160,1),(172,1),(200,1),(201,1),(203,1)}
       183:{2,5,6}:{(159,1),(173,1),(201,1)}
       184:{2,3,5,7}:{(160,1),(161,1),(163,1),(174,1),(201,1),(203,1),(206,1),(224,1)}
       185:{2,4,6}:{(161,1),(162,1),(175,1),(203,1),(204,1)}
       186:{3,4,5}:{(162,1),(165,1),(204,1),(205,1)}
       187:{1,2,4,7}:{(163,1),(164,1),(168,1),(203,1),(206,1),(211,1),(226,1),(227,1)}
       188:{3,6}:{(164,1),(165,1),(206,1)}
       189:{1,3,5}:{(165,1),(166,1),(205,1),(207,1),(209,1)}
       190:{2,3,5}:{(165,1),(167,1),(170,1),(208,1),(209,1)}
       191:{1,2,4}:{(166,1),(167,1),(209,1),(210,1)}
       192:{3,4,7}:{(168,1),(169,1),(176,1),(206,1),(211,1)}
       193:{2,4,6}:{(169,1),(170,1),(177,1),(208,1),(211,1)}
       194:{3,6,7}:{(171,1),(178,1),(200,1)}
       195:{3,5,7}:{(172,1),(173,1),(179,1),(201,1),(213,1)}
       196:{4,5,6}:{(173,1),(175,1),(213,1)}
       197:{4,7}:{(174,1),(175,1)}
       198:{2,5,7}:{(176,1),(177,1),(180,1),(211,1)}
       199:{1,5,6,7}:{(178,1),(179,1),(212,1),(230,1)}
       200:{2,6,7}:{(181,1),(194,1)}
       201:{2,5,7}:{(182,1),(183,1),(195,1)}
       202:{2,4,5,6}:{(183,1),(185,1),(196,1),(215,1),(216,1)}
       203:{2,4,7}:{(184,1),(185,1),(197,1),(217,1)}
       204:{3,4,6}:{(185,1),(186,1),(188,1),(216,1),(217,1),(218,1)}
       205:{1,4,5}:{(186,1),(189,1),(218,1)}
       206:{3,7}:{(187,1),(188,1)}
       207:{1,3,6}:{(188,1),(189,1),(218,1),(219,1),(221,1)}
       208:{2,3,6}:{(188,1),(190,1),(193,1),(220,1),(221,1)}
       209:{1,2,5}:{(189,1),(190,1),(191,1),(221,1)}
       210:{1,2,3}:{(191,1)}
       211:{2,4,7}:{(192,1),(193,1),(198,1),(220,1)}
       212:{3,5,6,7}:{(194,1),(195,1),(199,1),(214,1),(222,1),(228,1)}
       213:{4,5,7}:{(195,1),(196,1),(197,1),(222,1)}
       214:{2,5,6,7}:{(200,1),(201,1),(212,1),(223,1)}
       215:{2,4,5,7}:{(201,1),(202,1),(203,1),(213,1),(223,1),(224,1)}
       216:{3,5,6}:{(202,1),(204,1),(224,1),(225,1)}
       217:{3,4,7}:{(203,1),(204,1),(206,1),(224,1),(226,1)}
       218:{1,4,6}:{(204,1),(205,1),(207,1),(225,1),(226,1)}
       219:{1,3,7}:{(206,1),(207,1),(226,1),(227,1)}
       220:{2,3,7}:{(206,1),(208,1),(211,1),(227,1)}
       221:{1,2,6}:{(207,1),(208,1),(209,1),(227,1)}
       222:{4,6,7}:{(212,1),(213,1)}
       223:{2,4,6,7}:{(214,1),(215,1),(222,1),(228,1)}
       224:{3,5,7}:{(215,1),(216,1),(217,1),(228,1),(229,1)}
       225:{1,5,6}:{(216,1),(218,1),(229,1)}
       226:{1,4,7}:{(217,1),(218,1),(219,1),(229,1)}
       227:{1,2,7}:{(219,1),(220,1),(221,1)}
       228:{3,6,7}:{(223,1),(224,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(226,1),(230,1)}
       230:{1,6,7}:{(228,1),(229,1)}

1475 :   0:{1,3,4,5,7}:{(1,1),(2,1),(15,1),(51,1),(111,1),(127,1),(131,1),(164,1),(171,1),(179,1)}
         1:{1,3,4,6}:{(0,1),(7,1),(8,1),(99,1),(186,1),(191,1),(195,1)}
         2:{1,2,4,5,7}:{(0,1),(8,1),(9,1),(29,1),(37,1),(88,1),(96,1),(100,1)}
         3:{2,3,4,5,7}:{(10,1),(11,1),(21,1),(45,1),(69,1),(128,1),(163,1),(167,1),(171,1),(199,1)}
         4:{1,4,5,6,7}:{(13,1),(59,1),(198,1)}
         5:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(59,1),(124,1),(127,1),(176,1)}
         6:{3,4,5,6}:{(14,1),(17,1),(18,1),(67,1),(167,1),(200,1)}
         7:{1,3,5,6}:{(1,1),(15,1),(17,1),(19,1),(67,1),(111,1),(204,1)}
         8:{1,2,4,6}:{(1,1),(2,1),(19,1),(20,1),(68,1)}
         9:{2,3,5,7}:{(2,1),(20,1),(21,1),(69,1),(171,1)}
        10:{2,3,4,6}:{(3,1),(25,1),(26,1),(140,1),(157,1),(191,1),(207,1)}
        11:{1,2,4,5,7}:{(3,1),(26,1),(27,1),(29,1),(75,1),(88,1),(137,1),(141,1)}
        12:{1,2,3,5,7}:{(9,1),(27,1),(28,1),(29,1),(88,1)}
        13:{3,5,6,7}:{(4,1),(32,1),(34,1),(206,1)}
        14:{3,4,5,7}:{(6,1),(32,1),(35,1),(36,1),(95,1)}
        15:{1,3,5,7}:{(5,1),(7,1),(35,1),(37,1),(95,1),(193,1)}
        16:{1,2,4,6,7}:{(5,1),(8,1),(37,1),(38,1),(96,1)}
        17:{1,4,5,6}:{(6,1),(7,1),(35,1),(141,1),(186,1)}
        18:{2,4,5,6}:{(6,1),(36,1),(39,1),(187,1),(207,1)}
        19:{1,2,5,6}:{(7,1),(8,1),(37,1),(41,1),(88,1)}
        20:{2,3,6}:{(8,1),(9,1),(191,1)}
        21:{2,3,4,7}:{(9,1),(29,1),(42,1),(96,1),(144,1)}
        22:{2,4,5,6,7}:{(43,1),(102,1),(178,1)}
        23:{2,3,4,6,7}:{(10,1),(45,1),(46,1),(102,1),(160,1),(163,1),(196,1)}
        24:{3,4,5,6}:{(44,1),(47,1),(48,1),(109,1),(131,1),(180,1)}
        25:{2,3,5,6}:{(10,1),(45,1),(48,1),(49,1),(69,1),(109,1),(209,1)}
        26:{1,2,4,6}:{(10,1),(11,1),(49,1),(50,1),(110,1)}
        27:{1,3,5,7}:{(11,1),(50,1),(51,1),(111,1),(171,1)}
        28:{1,2,3,6}:{(12,1),(20,1),(50,1),(56,1)}
        29:{1,2,4,7}:{(12,1),(21,1),(51,1),(56,1)}
        30:{1,3,4,5}:{(53,1),(57,1),(122,1),(167,1),(175,1)}
        31:{2,3,4,5}:{(54,1),(58,1),(121,1),(131,1),(174,1)}
        32:{3,4,6,7}:{(13,1),(14,1),(59,1),(60,1),(124,1),(200,1)}
        33:{1,3,5,6,7}:{(13,1),(15,1),(59,1),(61,1),(124,1),(165,1)}
        34:{2,5,6,7}:{(13,1),(60,1),(209,1)}
        35:{1,4,5,7}:{(14,1),(15,1),(17,1),(59,1)}
        36:{2,4,5,7}:{(14,1),(18,1),(60,1),(62,1)}
        37:{1,2,5,7}:{(15,1),(16,1),(19,1),(64,1)}
        38:{2,3,6,7}:{(16,1),(20,1),(64,1),(124,1)}
        39:{2,3,5,6}:{(18,1),(54,1),(62,1),(66,1),(67,1),(174,1),(202,1)}
        40:{1,2,4,5,6}:{(17,1),(18,1),(19,1),(63,1),(66,1),(67,1),(68,1),(119,1),(130,1),(172,1),(178,1),(204,1)}
        41:{2,3,5,6}:{(19,1),(20,1),(64,1),(67,1),(68,1),(69,1)}
        42:{2,3,4,6}:{(20,1),(21,1),(56,1),(68,1),(69,1),(118,1)}
        43:{3,5,6,7}:{(22,1),(70,1),(71,1),(194,1)}
        44:{3,4,5,7}:{(24,1),(70,1),(73,1),(74,1),(136,1)}
        45:{2,3,5,7}:{(23,1),(25,1),(74,1),(75,1),(136,1),(205,1)}
        46:{1,2,4,6,7}:{(23,1),(26,1),(75,1),(76,1),(137,1)}
        47:{1,4,5,6}:{(24,1),(73,1),(77,1),(158,1),(195,1)}
        48:{2,4,5,6}:{(24,1),(25,1),(74,1),(100,1),(157,1)}
        49:{1,2,5,6}:{(25,1),(26,1),(75,1),(79,1),(88,1)}
        50:{1,3,6}:{(26,1),(27,1),(191,1)}
        51:{1,3,4,7}:{(27,1),(29,1),(80,1),(137,1),(144,1)}
        52:{1,2,3,6,7}:{(28,1),(38,1),(76,1),(83,1),(84,1),(152,1),(181,1),(191,1),(208,1)}
        53:{1,3,4,6}:{(30,1),(77,1),(81,1),(85,1),(140,1)}
        54:{2,3,4,6}:{(31,1),(39,1),(82,1),(86,1),(99,1)}
        55:{1,2,3,5,6}:{(28,1),(41,1),(79,1),(83,1),(87,1),(88,1),(98,1),(139,1),(146,1),(147,1),(150,1),(191,1),(192,1),(208,1)}
        56:{1,2,4,6}:{(28,1),(29,1),(42,1),(80,1),(88,1)}
        57:{1,2,4,5}:{(30,1),(85,1),(89,1),(151,1),(187,1),(192,1)}
        58:{1,2,4,5}:{(31,1),(86,1),(90,1),(151,1),(158,1),(192,1)}
        59:{1,4,6,7}:{(32,1),(33,1),(35,1),(186,1)}
        60:{2,4,6,7}:{(32,1),(34,1),(36,1),(91,1),(207,1)}
        61:{1,2,5,6,7}:{(33,1),(34,1),(37,1),(92,1),(93,1),(146,1),(193,1)}
        62:{2,3,5,7}:{(36,1),(39,1),(82,1),(91,1),(94,1),(95,1)}
        63:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(40,1),(92,1),(94,1),(95,1),(96,1),(154,1),(155,1),(193,1)}
        64:{2,3,5,7}:{(37,1),(38,1),(41,1),(95,1),(96,1)}
        65:{2,3,4,6,7}:{(38,1),(42,1),(84,1),(96,1),(97,1),(144,1),(153,1),(157,1),(191,1)}
        66:{1,2,5,6}:{(39,1),(86,1),(94,1),(98,1),(192,1),(208,1)}
        67:{3,5,6}:{(40,1),(95,1),(99,1),(150,1),(191,1)}
        68:{2,4,6}:{(41,1),(96,1),(99,1),(100,1)}
        69:{2,3,5}:{(42,1),(88,1),(100,1),(150,1)}
        70:{3,4,6,7}:{(43,1),(44,1),(101,1),(102,1),(160,1),(180,1)}
        71:{1,5,6,7}:{(43,1),(101,1),(204,1)}
        72:{2,3,5,6,7}:{(43,1),(45,1),(102,1),(103,1),(129,1),(160,1)}
        73:{1,4,5,7}:{(44,1),(47,1),(101,1),(104,1)}
        74:{2,4,5,7}:{(44,1),(45,1),(48,1),(102,1)}
        75:{1,2,5,7}:{(45,1),(46,1),(49,1),(106,1)}
        76:{1,3,6,7}:{(46,1),(50,1),(106,1),(160,1)}
        77:{1,3,5,6}:{(47,1),(53,1),(104,1),(108,1),(109,1),(175,1),(203,1)}
        78:{1,2,4,5,6}:{(47,1),(48,1),(49,1),(105,1),(108,1),(109,1),(110,1),(119,1),(166,1),(172,1),(198,1),(209,1)}
        79:{1,3,5,6}:{(49,1),(50,1),(106,1),(109,1),(110,1),(111,1)}
        80:{1,3,4,6}:{(50,1),(51,1),(56,1),(110,1),(111,1),(118,1)}
        81:{1,3,4,7}:{(53,1),(104,1),(112,1),(163,1)}
        82:{2,3,4,7}:{(54,1),(62,1),(113,1),(127,1)}
        83:{1,2,3,5,7}:{(52,1),(55,1),(64,1),(106,1),(114,1),(115,1),(126,1),(162,1),(168,1),(171,1),(201,1)}
        84:{1,2,4,6,7}:{(52,1),(56,1),(65,1),(107,1),(114,1),(115,1),(172,1),(176,1),(196,1)}
        85:{1,2,4,6}:{(53,1),(57,1),(108,1),(112,1),(116,1),(166,1)}
        86:{1,2,4,6}:{(54,1),(58,1),(66,1),(113,1),(117,1),(130,1)}
        87:{1,2,4,6}:{(55,1),(68,1),(110,1),(114,1),(118,1),(119,1),(130,1),(166,1)}
        88:{1,2,5}:{(56,1),(69,1),(111,1)}
        89:{2,3,5}:{(57,1),(116,1),(121,1)}
        90:{1,3,5}:{(58,1),(117,1),(122,1)}
        91:{2,3,6,7}:{(60,1),(62,1),(123,1),(124,1),(202,1)}
        92:{1,2,4,6,7}:{(59,1),(60,1),(61,1),(63,1),(123,1),(124,1),(125,1),(172,1),(176,1)}
        93:{2,3,5,6,7}:{(61,1),(64,1),(124,1),(125,1),(129,1),(177,1)}
        94:{1,2,5,7}:{(62,1),(66,1),(113,1),(123,1),(126,1)}
        95:{3,5,7}:{(63,1),(67,1),(124,1),(127,1)}
        96:{2,4,7}:{(64,1),(68,1),(127,1)}
        97:{2,3,5,7}:{(65,1),(69,1),(115,1),(128,1),(129,1),(171,1),(177,1)}
        98:{1,3,5,6}:{(66,1),(67,1),(117,1),(126,1),(130,1),(175,1),(203,1),(204,1)}
        99:{3,4,6}:{(67,1),(68,1),(127,1),(130,1),(131,1)}
       100:{2,4,5}:{(68,1),(69,1),(131,1)}
       101:{1,4,6,7}:{(70,1),(71,1),(73,1),(132,1),(195,1)}
       102:{2,4,6,7}:{(70,1),(72,1),(74,1),(157,1)}
       103:{1,2,5,6,7}:{(71,1),(72,1),(75,1),(133,1),(134,1),(146,1),(205,1)}
       104:{1,3,5,7}:{(73,1),(77,1),(81,1),(132,1),(135,1),(136,1)}
       105:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(78,1),(133,1),(135,1),(136,1),(137,1),(183,1),(184,1),(205,1)}
       106:{1,3,5,7}:{(75,1),(76,1),(79,1),(136,1),(137,1)}
       107:{1,3,4,6,7}:{(76,1),(80,1),(84,1),(137,1),(138,1),(144,1),(182,1),(186,1),(191,1)}
       108:{1,2,5,6}:{(77,1),(85,1),(135,1),(139,1),(192,1),(208,1)}
       109:{3,5,6}:{(78,1),(136,1),(140,1),(150,1),(191,1)}
       110:{1,4,6}:{(79,1),(137,1),(140,1),(141,1)}
       111:{1,3,5}:{(80,1),(88,1),(141,1),(150,1)}
       112:{1,2,4,7}:{(81,1),(85,1),(135,1),(142,1),(184,1)}
       113:{1,2,4,7}:{(82,1),(86,1),(94,1),(143,1),(155,1)}
       114:{1,2,4,7}:{(83,1),(87,1),(96,1),(137,1),(144,1),(155,1),(184,1)}
       115:{1,2,5,7}:{(84,1),(88,1),(97,1),(138,1),(146,1),(193,1),(205,1)}
       116:{2,3,6}:{(85,1),(89,1),(142,1)}
       117:{1,3,6}:{(86,1),(90,1),(143,1)}
       118:{3,4,6}:{(87,1),(144,1),(150,1),(191,1)}
       119:{1,2,4,5}:{(87,1),(88,1),(100,1),(141,1),(150,1),(158,1),(187,1),(192,1)}
       120:{1,2,3,5}:{(89,1),(90,1),(147,1),(151,1),(192,1)}
       121:{2,3,4}:{(89,1),(151,1)}
       122:{1,3,4}:{(90,1),(151,1)}
       123:{1,2,6,7}:{(91,1),(94,1),(152,1),(208,1)}
       124:{3,6,7}:{(92,1),(95,1),(191,1)}
       125:{2,4,6,7}:{(93,1),(96,1),(153,1),(154,1),(157,1)}
       126:{1,3,5,7}:{(94,1),(95,1),(98,1),(143,1),(152,1),(155,1),(193,1)}
       127:{3,4,7}:{(95,1),(96,1),(99,1),(155,1)}
       128:{2,4,5,7}:{(96,1),(97,1),(100,1),(156,1),(157,1)}
       129:{2,3,5,6}:{(97,1),(146,1),(157,1),(191,1),(194,1)}
       130:{1,4,6}:{(98,1),(99,1),(155,1),(158,1)}
       131:{3,4,5}:{(99,1),(100,1),(150,1),(158,1)}
       132:{1,3,6,7}:{(101,1),(104,1),(159,1),(160,1),(203,1)}
       133:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(105,1),(159,1),(160,1),(161,1),(172,1),(196,1)}
       134:{1,3,5,6,7}:{(103,1),(106,1),(160,1),(161,1),(165,1),(197,1)}
       135:{1,2,5,7}:{(104,1),(108,1),(112,1),(159,1),(162,1)}
       136:{3,5,7}:{(105,1),(109,1),(160,1),(163,1)}
       137:{1,4,7}:{(106,1),(110,1),(163,1)}
       138:{1,3,5,7}:{(107,1),(111,1),(115,1),(164,1),(165,1),(171,1),(197,1)}
       139:{2,3,5,6}:{(108,1),(109,1),(116,1),(162,1),(166,1),(174,1),(202,1),(209,1)}
       140:{3,4,6}:{(109,1),(110,1),(163,1),(166,1),(167,1)}
       141:{1,4,5}:{(110,1),(111,1),(167,1)}
       142:{2,3,7}:{(112,1),(116,1)}
       143:{1,3,7}:{(113,1),(117,1)}
       144:{3,4,7}:{(114,1),(118,1),(171,1)}
       145:{1,2,4,5,7}:{(114,1),(115,1),(119,1),(128,1),(164,1),(171,1),(172,1),(179,1),(199,1),(201,1)}
       146:{1,2,5,6}:{(115,1),(129,1),(165,1),(172,1),(204,1),(209,1)}
       147:{1,2,3,6}:{(116,1),(117,1),(120,1),(168,1),(173,1)}
       148:{2,3,4,6}:{(116,1),(118,1),(121,1),(166,1),(169,1),(173,1),(174,1),(202,1)}
       149:{1,3,4,6}:{(117,1),(118,1),(122,1),(130,1),(170,1),(173,1),(175,1),(203,1)}
       150:{3,5}:{(118,1),(119,1)}
       151:{1,2,4}:{(120,1),(121,1),(122,1)}
       152:{1,3,6,7}:{(123,1),(124,1),(126,1),(176,1),(203,1)}
       153:{3,4,6,7}:{(124,1),(125,1),(127,1),(176,1),(177,1),(180,1)}
       154:{2,4,5,7}:{(125,1),(177,1),(178,1)}
       155:{1,4,7}:{(126,1),(127,1),(130,1)}
       156:{3,4,5,7}:{(127,1),(128,1),(131,1),(171,1),(177,1),(179,1),(180,1)}
       157:{2,4,6}:{(128,1),(129,1),(180,1)}
       158:{1,4,5}:{(130,1),(131,1),(175,1)}
       159:{1,2,6,7}:{(132,1),(135,1),(181,1),(208,1)}
       160:{3,6,7}:{(133,1),(136,1),(191,1)}
       161:{1,4,6,7}:{(134,1),(137,1),(182,1),(183,1),(186,1)}
       162:{2,3,5,7}:{(135,1),(136,1),(139,1),(142,1),(181,1),(184,1),(205,1)}
       163:{3,4,7}:{(136,1),(137,1),(140,1),(184,1)}
       164:{1,4,5,7}:{(137,1),(138,1),(141,1),(185,1),(186,1)}
       165:{1,3,5,6}:{(138,1),(146,1),(186,1),(191,1),(206,1)}
       166:{2,4,6}:{(139,1),(140,1),(184,1),(187,1)}
       167:{3,4,5}:{(140,1),(141,1),(150,1),(187,1)}
       168:{1,2,3,7}:{(142,1),(143,1),(147,1),(188,1)}
       169:{2,3,4,7}:{(142,1),(144,1),(148,1),(184,1),(188,1),(189,1)}
       170:{1,3,4,7}:{(143,1),(144,1),(149,1),(155,1),(188,1),(190,1)}
       171:{3,5,7}:{(144,1),(145,1),(150,1),(191,1)}
       172:{1,2,4,6}:{(145,1),(146,1),(157,1),(186,1),(191,1),(195,1),(207,1),(208,1)}
       173:{1,2,4,6}:{(147,1),(148,1),(149,1),(151,1),(188,1),(192,1),(208,1)}
       174:{2,3,5}:{(148,1),(150,1),(187,1),(192,1)}
       175:{1,3,5}:{(149,1),(150,1),(158,1),(192,1)}
       176:{1,4,6,7}:{(152,1),(153,1),(155,1),(193,1),(195,1)}
       177:{3,5,7}:{(153,1),(154,1),(193,1),(194,1)}
       178:{2,4,5,6}:{(154,1),(157,1),(194,1)}
       179:{1,4,5,7}:{(155,1),(156,1),(158,1),(190,1),(193,1),(195,1)}
       180:{3,4,6}:{(156,1),(157,1),(191,1),(194,1),(195,1)}
       181:{2,3,6,7}:{(159,1),(160,1),(162,1),(196,1),(202,1)}
       182:{3,4,6,7}:{(160,1),(161,1),(163,1),(196,1),(197,1),(200,1)}
       183:{1,4,5,7}:{(161,1),(197,1),(198,1)}
       184:{2,4,7}:{(162,1),(163,1),(166,1)}
       185:{3,4,5,7}:{(163,1),(164,1),(167,1),(171,1),(197,1),(199,1),(200,1)}
       186:{1,4,6}:{(164,1),(165,1),(200,1)}
       187:{2,4,5}:{(166,1),(167,1),(174,1)}
       188:{1,2,4,7}:{(168,1),(169,1),(170,1),(173,1),(201,1)}
       189:{2,3,5,7}:{(169,1),(171,1),(174,1),(199,1),(201,1),(202,1)}
       190:{1,3,5,7}:{(170,1),(171,1),(175,1),(179,1),(201,1),(203,1)}
       191:{3,6}:{(171,1),(172,1)}
       192:{1,2,5}:{(173,1),(174,1),(175,1)}
       193:{1,5,7}:{(176,1),(177,1),(204,1)}
       194:{3,5,6}:{(177,1),(178,1),(180,1),(204,1)}
       195:{1,4,6}:{(179,1),(180,1),(203,1),(204,1)}
       196:{2,4,6,7}:{(181,1),(182,1),(184,1),(205,1),(207,1)}
       197:{3,5,7}:{(182,1),(183,1),(205,1),(206,1)}
       198:{1,4,5,6}:{(183,1),(186,1),(206,1)}
       199:{2,4,5,7}:{(184,1),(185,1),(187,1),(189,1),(205,1),(207,1)}
       200:{3,4,6}:{(185,1),(186,1),(191,1),(206,1),(207,1)}
       201:{1,2,5,7}:{(188,1),(189,1),(190,1),(192,1),(208,1)}
       202:{2,3,6}:{(189,1),(191,1),(207,1),(208,1)}
       203:{1,3,6}:{(190,1),(191,1),(195,1),(208,1)}
       204:{1,5,6}:{(193,1),(194,1),(195,1)}
       205:{2,5,7}:{(196,1),(197,1),(209,1)}
       206:{3,5,6}:{(197,1),(198,1),(200,1),(209,1)}
       207:{2,4,6}:{(199,1),(200,1),(202,1),(209,1)}
       208:{1,2,6}:{(201,1),(202,1),(203,1)}
       209:{2,5,6}:{(205,1),(206,1),(207,1)}

1476 :   0:{1,3,4,6,7}:{(1,1),(2,1),(14,1),(23,1),(49,1),(51,1),(60,1),(89,1),(96,1),(116,1),(125,1)}
         1:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(29,1),(31,1),(41,1),(81,1),(114,1),(128,1)}
         2:{1,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(32,1),(38,1),(107,1),(126,1)}
         3:{1,3,5,6,7}:{(5,1),(10,1),(11,1),(38,1),(40,1),(62,1),(79,1)}
         4:{2,3,5,6,7}:{(10,1),(12,1),(25,1),(28,1),(39,1),(40,1),(80,1)}
         5:{1,3,5,6}:{(2,1),(13,1),(14,1),(46,1),(49,1)}
         6:{2,3,6,7}:{(1,1),(15,1),(49,1),(125,1),(134,1)}
         7:{1,2,5,7}:{(1,1),(2,1),(13,1),(15,1),(58,1),(133,1)}
         8:{1,4,5,7}:{(2,1),(14,1),(17,1),(96,1),(119,1)}
         9:{2,3,4,6,7}:{(18,1),(19,1),(24,1),(44,1),(61,1),(83,1),(90,1),(93,1),(97,1),(117,1),(125,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(13,1),(22,1),(43,1),(58,1),(59,1),(98,1)}
        11:{1,4,6,7}:{(3,1),(14,1),(20,1),(23,1),(82,1),(96,1)}
        12:{2,4,6,7}:{(4,1),(21,1),(24,1),(44,1),(48,1),(97,1)}
        13:{1,2,5,6}:{(5,1),(7,1),(28,1),(29,1),(66,1),(107,1)}
        14:{1,4,6}:{(5,1),(8,1),(30,1)}
        15:{2,3,5,7}:{(6,1),(7,1),(28,1),(31,1),(32,1),(137,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(29,1),(31,1),(32,1),(33,1),(68,1),(72,1),(74,1),(107,1),(114,1),(129,1)}
        17:{3,4,5,7}:{(8,1),(30,1),(32,1),(33,1),(38,1),(78,1),(103,1)}
        18:{1,2,4,6,7}:{(9,1),(34,1),(35,1),(42,1),(63,1),(75,1),(81,1),(109,1),(114,1)}
        19:{2,3,5,7}:{(9,1),(25,1),(35,1),(36,1),(39,1),(76,1),(108,1),(127,1)}
        20:{1,4,5,7}:{(11,1),(26,1),(38,1),(99,1)}
        21:{2,4,5,7}:{(12,1),(27,1),(39,1),(68,1)}
        22:{1,2,4,6,7}:{(10,1),(11,1),(12,1),(29,1),(37,1),(40,1),(41,1),(42,1),(63,1),(81,1),(114,1)}
        23:{3,4,6,7}:{(11,1),(30,1),(38,1),(40,1),(41,1),(78,1),(100,1)}
        24:{3,4,6,7}:{(12,1),(39,1),(40,1),(42,1),(64,1),(69,1),(78,1)}
        25:{2,3,5,6}:{(19,1),(43,1),(44,1),(47,1),(83,1)}
        26:{1,4,5,6}:{(14,1),(20,1),(46,1)}
        27:{2,4,5,6}:{(21,1),(44,1),(47,1)}
        28:{2,3,5,6}:{(13,1),(15,1),(48,1),(49,1),(88,1)}
        29:{1,2,4,6}:{(13,1),(14,1),(16,1),(48,1),(49,1),(50,1),(89,1),(91,1)}
        30:{3,4,6}:{(14,1),(17,1),(46,1),(49,1),(50,1)}
        31:{2,4,7}:{(15,1),(48,1),(51,1),(139,1)}
        32:{3,5,7}:{(16,1),(49,1),(51,1),(88,1),(125,1),(135,1)}
        33:{2,4,5,7}:{(17,1),(50,1),(53,1),(58,1),(97,1),(120,1)}
        34:{1,3,6,7}:{(18,1),(54,1),(83,1),(123,1),(125,1)}
        35:{1,2,5,7}:{(18,1),(19,1),(43,1),(54,1),(59,1),(122,1)}
        36:{2,4,5,7}:{(19,1),(44,1),(56,1),(97,1),(120,1)}
        37:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(45,1),(57,1),(58,1),(59,1),(96,1),(97,1),(98,1)}
        38:{3,5,7}:{(20,1),(23,1),(46,1),(58,1),(115,1)}
        39:{3,5,7}:{(21,1),(24,1),(47,1),(59,1),(88,1)}
        40:{3,6,7}:{(22,1),(49,1),(57,1),(83,1),(125,1)}
        41:{2,4,6,7}:{(23,1),(50,1),(58,1),(61,1),(97,1),(117,1)}
        42:{1,4,6,7}:{(24,1),(59,1),(60,1),(84,1),(89,1),(96,1)}
        43:{1,2,5,6}:{(25,1),(35,1),(62,1),(63,1),(67,1),(127,1)}
        44:{2,4,6}:{(25,1),(36,1),(64,1)}
        45:{1,2,4,5,6}:{(26,1),(27,1),(29,1),(37,1),(63,1),(65,1),(66,1),(67,1),(68,1),(99,1),(104,1),(105,1),(106,1),(107,1),(127,1),(129,1)}
        46:{3,5,6}:{(26,1),(30,1),(38,1),(66,1)}
        47:{3,5,6}:{(27,1),(39,1),(64,1),(67,1)}
        48:{2,4,6}:{(28,1),(31,1),(68,1),(69,1)}
        49:{3,6}:{(29,1),(32,1)}
        50:{2,4,6}:{(30,1),(33,1),(66,1),(71,1)}
        51:{3,4,7}:{(31,1),(32,1),(69,1),(72,1),(138,1)}
        52:{1,3,5,7}:{(32,1),(70,1),(72,1),(74,1),(107,1),(110,1),(131,1)}
        53:{2,3,5,7}:{(32,1),(33,1),(71,1),(73,1),(74,1),(108,1)}
        54:{1,3,5,7}:{(34,1),(35,1),(62,1),(75,1),(76,1),(131,1)}
        55:{1,2,4,5,7}:{(35,1),(36,1),(63,1),(75,1),(76,1),(77,1),(99,1),(112,1),(113,1),(114,1),(127,1),(129,1)}
        56:{3,4,5,7}:{(36,1),(39,1),(64,1),(76,1),(77,1),(78,1),(103,1)}
        57:{3,5,7}:{(37,1),(40,1),(65,1),(78,1)}
        58:{2,5,7}:{(38,1),(41,1),(66,1),(127,1)}
        59:{1,5,7}:{(39,1),(42,1),(67,1),(107,1)}
        60:{1,3,6,7}:{(40,1),(42,1),(70,1),(79,1),(81,1),(101,1)}
        61:{2,3,6,7}:{(40,1),(41,1),(71,1),(80,1),(81,1),(102,1)}
        62:{1,3,5,6}:{(43,1),(54,1),(82,1),(83,1),(115,1)}
        63:{1,2,4,6}:{(43,1),(44,1),(55,1),(82,1),(83,1),(84,1),(117,1),(118,1)}
        64:{3,4,6}:{(44,1),(47,1),(56,1),(83,1),(84,1)}
        65:{3,5,6}:{(45,1),(49,1),(57,1),(83,1),(85,1),(88,1),(115,1),(135,1)}
        66:{2,5,6}:{(46,1),(50,1),(58,1)}
        67:{1,5,6}:{(47,1),(59,1),(84,1)}
        68:{2,4,5}:{(48,1),(88,1)}
        69:{3,4,6}:{(48,1),(49,1),(51,1),(88,1),(89,1)}
        70:{1,3,6}:{(49,1),(52,1),(89,1),(91,1)}
        71:{2,3,6}:{(49,1),(50,1),(53,1),(91,1)}
        72:{1,4,7}:{(51,1),(52,1),(89,1),(136,1)}
        73:{2,3,4,7}:{(51,1),(53,1),(90,1),(92,1),(97,1),(125,1)}
        74:{1,2,5,7}:{(52,1),(53,1),(91,1),(92,1),(122,1)}
        75:{1,4,7}:{(54,1),(82,1),(93,1),(136,1)}
        76:{3,5,7}:{(55,1),(83,1),(93,1),(115,1),(125,1),(135,1)}
        77:{1,4,5,7}:{(56,1),(59,1),(84,1),(94,1),(96,1),(119,1)}
        78:{3,4,7}:{(57,1),(85,1),(96,1),(97,1),(125,1)}
        79:{1,3,5,7}:{(57,1),(59,1),(60,1),(86,1),(96,1),(98,1),(125,1)}
        80:{2,3,5,7}:{(57,1),(58,1),(61,1),(87,1),(97,1),(98,1),(125,1)}
        81:{1,2,6,7}:{(60,1),(61,1),(91,1),(98,1),(118,1)}
        82:{1,4,6}:{(62,1),(75,1),(99,1),(100,1)}
        83:{3,6}:{(63,1),(76,1)}
        84:{1,4,6}:{(64,1),(67,1),(77,1),(101,1)}
        85:{3,4,6}:{(65,1),(78,1),(103,1),(104,1),(105,1),(130,1),(138,1)}
        86:{1,3,5,6}:{(65,1),(67,1),(70,1),(79,1),(101,1),(104,1),(106,1),(107,1),(126,1),(130,1),(131,1)}
        87:{2,3,5,6}:{(65,1),(66,1),(71,1),(80,1),(102,1),(105,1),(106,1),(108,1),(127,1),(130,1),(137,1)}
        88:{3,5}:{(68,1),(69,1),(107,1)}
        89:{1,4,6}:{(69,1),(70,1),(72,1),(107,1)}
        90:{2,3,4,6}:{(69,1),(71,1),(73,1),(105,1),(108,1),(109,1),(130,1),(138,1)}
        91:{1,2,6}:{(70,1),(71,1),(74,1)}
        92:{1,2,4,7}:{(72,1),(73,1),(74,1),(109,1),(110,1)}
        93:{3,4,7}:{(75,1),(76,1),(100,1),(112,1),(138,1)}
        94:{1,3,5,7}:{(76,1),(77,1),(101,1),(111,1),(113,1),(126,1)}
        95:{2,3,5,7}:{(76,1),(102,1),(112,1),(113,1),(127,1),(132,1),(137,1)}
        96:{1,4,7}:{(78,1),(79,1),(104,1)}
        97:{2,4,7}:{(78,1),(80,1),(105,1)}
        98:{1,2,5,7}:{(79,1),(80,1),(81,1),(106,1),(114,1)}
        99:{1,4,5}:{(82,1),(115,1)}
       100:{3,4,6}:{(82,1),(83,1),(93,1),(115,1),(117,1)}
       101:{1,3,6}:{(83,1),(84,1),(94,1),(118,1)}
       102:{2,3,6}:{(83,1),(95,1),(117,1),(118,1)}
       103:{3,4,5}:{(85,1),(88,1),(115,1),(119,1),(120,1),(135,1)}
       104:{1,4,6}:{(85,1),(86,1),(96,1),(119,1),(136,1)}
       105:{2,4,6}:{(85,1),(87,1),(97,1),(120,1),(139,1)}
       106:{1,2,5,6}:{(86,1),(87,1),(91,1),(98,1),(118,1),(121,1),(122,1),(133,1)}
       107:{1,5}:{(88,1),(89,1)}
       108:{2,3,5}:{(88,1),(90,1),(120,1),(122,1),(135,1)}
       109:{1,2,4,6}:{(89,1),(90,1),(91,1),(92,1),(122,1),(123,1),(136,1)}
       110:{1,3,7}:{(92,1),(123,1),(125,1)}
       111:{1,3,4,7}:{(93,1),(94,1),(96,1),(116,1),(124,1),(125,1)}
       112:{2,4,7}:{(93,1),(95,1),(117,1),(139,1)}
       113:{1,2,5,7}:{(94,1),(95,1),(118,1),(124,1),(133,1)}
       114:{1,2,4,7}:{(96,1),(97,1),(98,1),(121,1),(125,1)}
       115:{3,5}:{(99,1),(100,1),(127,1)}
       116:{1,3,4,6}:{(100,1),(101,1),(104,1),(111,1),(126,1),(128,1),(130,1),(138,1)}
       117:{2,4,6}:{(100,1),(102,1),(112,1),(127,1)}
       118:{1,2,6}:{(101,1),(102,1),(113,1)}
       119:{1,4,5}:{(103,1),(104,1),(107,1),(126,1)}
       120:{2,4,5}:{(103,1),(105,1),(108,1),(127,1)}
       121:{1,2,4,6}:{(104,1),(105,1),(106,1),(114,1),(129,1),(130,1)}
       122:{1,2,5}:{(107,1),(108,1),(109,1),(131,1)}
       123:{1,3,6}:{(109,1),(110,1),(130,1),(131,1)}
       124:{1,2,4,7}:{(111,1),(112,1),(113,1),(128,1),(132,1)}
       125:{3,7}:{(114,1),(130,1)}
       126:{1,3,5}:{(115,1),(116,1),(119,1),(133,1),(135,1)}
       127:{2,5}:{(115,1),(117,1)}
       128:{1,2,4,6}:{(116,1),(117,1),(118,1),(124,1),(133,1),(134,1),(139,1)}
       129:{1,2,4,5}:{(119,1),(120,1),(121,1),(122,1),(133,1),(135,1),(136,1),(139,1)}
       130:{3,6}:{(121,1),(125,1),(135,1)}
       131:{1,3,5}:{(122,1),(123,1),(135,1),(136,1)}
       132:{2,3,7}:{(124,1),(125,1),(134,1)}
       133:{1,2,5}:{(126,1),(127,1),(128,1),(137,1)}
       134:{2,3,6}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,5}:{(129,1),(130,1),(138,1)}
       136:{1,4}:{(131,1),(138,1)}
       137:{2,3,5}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,4}:{(135,1),(136,1),(139,1)}
       139:{2,4}:{(137,1),(138,1)}

1477 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(23,1),(56,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(36,1),(73,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(26,1),(51,1),(90,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(21,1),(26,1),(50,1),(93,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(22,1),(26,1),(49,1),(92,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(11,1),(12,1),(36,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(11,1),(68,1),(112,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(12,1),(67,1),(111,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(15,1),(34,1),(35,1),(114,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(44,1),(90,1),(156,1)}
        10:{1,3,4,5,7}:{(19,1),(20,1),(21,1),(51,1),(79,1),(82,1),(89,1),(124,1),(132,1)}
        11:{1,4,5,7}:{(5,1),(6,1),(17,1),(21,1)}
        12:{2,4,5,7}:{(5,1),(7,1),(18,1),(22,1)}
        13:{1,3,4,6,7}:{(6,1),(19,1),(21,1),(24,1),(26,1),(51,1)}
        14:{2,3,4,6,7}:{(7,1),(22,1),(25,1),(26,1),(41,1),(51,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(23,1),(26,1),(133,1)}
        16:{1,2,3,5,6,7}:{(8,1),(26,1),(27,1),(49,1),(50,1),(52,1),(55,1),(76,1),(91,1),(92,1),(93,1),(136,1),(160,1),(163,1),(172,1)}
        17:{1,4,5,6}:{(9,1),(11,1),(28,1),(112,1),(144,1)}
        18:{2,4,5,6}:{(9,1),(12,1),(29,1),(111,1),(164,1)}
        19:{1,3,4,6}:{(10,1),(28,1),(31,1),(60,1),(112,1),(151,1)}
        20:{1,2,4,5,7}:{(10,1),(31,1),(32,1),(34,1),(63,1),(67,1),(98,1),(102,1)}
        21:{1,3,5,7}:{(11,1),(13,1),(28,1),(34,1),(36,1)}
        22:{2,3,5,7}:{(12,1),(14,1),(29,1),(35,1),(36,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(15,1),(30,1),(34,1),(35,1),(36,1),(67,1),(68,1)}
        24:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(37,1),(67,1)}
        25:{1,2,4,6,7}:{(14,1),(35,1),(38,1),(57,1),(68,1)}
        26:{3,6,7}:{(15,1),(36,1),(151,1)}
        27:{1,2,4,6,7}:{(16,1),(39,1),(40,1),(67,1),(68,1),(97,1),(111,1),(112,1),(169,1),(174,1)}
        28:{1,3,5,6}:{(17,1),(19,1),(21,1),(42,1),(44,1),(124,1)}
        29:{2,3,5,6}:{(18,1),(22,1),(41,1),(43,1),(44,1),(153,1)}
        30:{1,2,4,5,6}:{(17,1),(18,1),(23,1),(42,1),(43,1),(44,1),(77,1),(78,1),(120,1),(133,1)}
        31:{1,2,4,6}:{(19,1),(20,1),(42,1),(45,1),(77,1)}
        32:{2,3,5,7}:{(20,1),(45,1),(47,1),(81,1),(132,1)}
        33:{2,3,4,5,7}:{(22,1),(41,1),(48,1),(51,1),(79,1),(88,1),(129,1),(132,1),(153,1)}
        34:{1,2,5,7}:{(21,1),(24,1),(42,1),(49,1)}
        35:{1,2,5,7}:{(22,1),(25,1),(43,1),(50,1)}
        36:{3,5,7}:{(23,1),(26,1),(44,1),(51,1)}
        37:{2,3,6,7}:{(24,1),(26,1),(45,1),(49,1)}
        38:{1,3,6,7}:{(25,1),(26,1),(50,1),(75,1)}
        39:{3,4,6,7}:{(26,1),(27,1),(51,1),(55,1),(90,1),(119,1),(163,1),(173,1)}
        40:{1,2,4,5,7}:{(27,1),(55,1),(56,1),(88,1),(89,1),(91,1),(120,1)}
        41:{2,3,4,6}:{(29,1),(33,1),(57,1),(60,1),(111,1),(151,1)}
        42:{1,2,5,6}:{(28,1),(31,1),(34,1),(58,1),(102,1)}
        43:{1,2,5,6}:{(29,1),(35,1),(57,1),(59,1),(138,1)}
        44:{3,5,6}:{(30,1),(36,1),(60,1),(140,1),(151,1)}
        45:{2,3,6}:{(31,1),(32,1),(151,1)}
        46:{1,2,3,5,7}:{(32,1),(61,1),(63,1),(102,1),(104,1)}
        47:{2,3,4,7}:{(32,1),(62,1),(63,1),(67,1),(109,1)}
        48:{1,2,4,5,7}:{(33,1),(35,1),(57,1),(65,1),(68,1),(99,1),(107,1),(138,1)}
        49:{2,3,5,7}:{(34,1),(36,1),(37,1),(58,1),(67,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(38,1),(59,1),(68,1)}
        51:{3,4,7}:{(36,1),(60,1),(67,1),(68,1)}
        52:{1,2,3,6,7}:{(37,1),(38,1),(61,1),(66,1),(70,1),(95,1),(147,1),(151,1),(170,1)}
        53:{2,3,4,6,7}:{(37,1),(39,1),(62,1),(67,1),(70,1),(71,1),(109,1),(111,1),(137,1),(151,1),(170,1),(174,1)}
        54:{1,3,4,6,7}:{(38,1),(39,1),(68,1),(70,1),(72,1),(96,1),(101,1),(109,1),(112,1),(147,1),(151,1),(169,1)}
        55:{3,5,7}:{(39,1),(40,1),(73,1),(140,1)}
        56:{1,2,4,5,6}:{(40,1),(73,1),(111,1),(112,1),(114,1)}
        57:{1,2,4,6}:{(41,1),(43,1),(48,1),(75,1),(78,1)}
        58:{2,3,5,6}:{(42,1),(44,1),(45,1),(49,1),(77,1),(81,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(50,1),(75,1),(78,1),(118,1)}
        60:{3,4,6}:{(44,1),(51,1),(77,1),(78,1),(79,1)}
        61:{1,2,3,6}:{(45,1),(46,1),(80,1),(127,1)}
        62:{2,3,4,6}:{(45,1),(47,1),(77,1),(80,1),(81,1),(119,1)}
        63:{1,2,4,7}:{(46,1),(47,1),(80,1),(82,1)}
        64:{2,3,4,5,7}:{(47,1),(81,1),(83,1),(84,1),(88,1),(126,1),(132,1),(156,1),(173,1)}
        65:{1,3,5,7}:{(48,1),(75,1),(86,1),(118,1),(132,1)}
        66:{1,2,3,5,7}:{(49,1),(50,1),(52,1),(76,1),(87,1),(91,1),(132,1),(160,1),(172,1)}
        67:{2,4,7}:{(49,1),(51,1),(77,1)}
        68:{1,4,7}:{(50,1),(51,1),(78,1)}
        69:{3,4,5,7}:{(51,1),(55,1),(79,1),(88,1),(89,1),(90,1),(132,1),(156,1),(173,1)}
        70:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(80,1),(87,1),(91,1),(117,1),(133,1)}
        71:{2,3,5,7}:{(53,1),(55,1),(81,1),(88,1),(91,1),(92,1),(132,1),(153,1)}
        72:{1,3,5,7}:{(54,1),(55,1),(89,1),(91,1),(93,1),(118,1),(124,1),(132,1)}
        73:{3,5,6}:{(55,1),(56,1),(90,1)}
        74:{1,2,4,5,6,7}:{(56,1),(94,1),(134,1),(135,1),(136,1),(158,1)}
        75:{1,3,6}:{(57,1),(65,1),(151,1)}
        76:{1,2,3,5,6}:{(58,1),(59,1),(61,1),(66,1),(95,1),(97,1),(102,1),(114,1),(138,1),(140,1),(145,1),(151,1),(165,1)}
        77:{2,4,6}:{(58,1),(60,1),(67,1),(98,1)}
        78:{1,4,6}:{(59,1),(60,1),(68,1),(99,1)}
        79:{3,4,5}:{(60,1),(98,1),(99,1),(140,1)}
        80:{1,2,4,6}:{(61,1),(62,1),(63,1),(101,1),(102,1)}
        81:{2,3,5}:{(62,1),(98,1),(102,1),(140,1)}
        82:{1,3,4,7}:{(63,1),(101,1),(104,1),(109,1),(169,1)}
        83:{1,2,4,5,7}:{(63,1),(64,1),(102,1),(104,1),(105,1),(144,1),(146,1),(169,1)}
        84:{2,3,4,6}:{(64,1),(103,1),(105,1),(111,1),(151,1),(167,1)}
        85:{1,2,3,5,7}:{(65,1),(95,1),(107,1),(138,1),(148,1)}
        86:{1,3,4,7}:{(65,1),(68,1),(96,1),(107,1),(109,1)}
        87:{1,2,4,7}:{(66,1),(67,1),(68,1),(97,1),(109,1),(169,1),(174,1)}
        88:{2,4,5,7}:{(67,1),(69,1),(71,1),(98,1),(111,1),(164,1),(174,1)}
        89:{1,4,5,7}:{(68,1),(69,1),(72,1),(99,1),(112,1),(144,1),(169,1)}
        90:{3,4,6}:{(69,1),(73,1),(111,1),(112,1),(151,1)}
        91:{1,2,5,7}:{(70,1),(71,1),(72,1),(102,1),(114,1),(138,1)}
        92:{2,3,5,6}:{(71,1),(73,1),(111,1),(114,1),(151,1)}
        93:{1,3,5,6}:{(72,1),(73,1),(112,1),(114,1),(151,1)}
        94:{3,5,6,7}:{(73,1),(74,1),(113,1),(168,1)}
        95:{1,2,3,6}:{(75,1),(85,1),(117,1),(161,1)}
        96:{1,3,4,6}:{(75,1),(78,1),(86,1),(117,1),(118,1),(119,1)}
        97:{1,2,4,6}:{(76,1),(77,1),(78,1),(87,1),(119,1),(120,1),(159,1),(171,1)}
        98:{2,4,5}:{(77,1),(79,1),(81,1)}
        99:{1,4,5}:{(78,1),(79,1),(118,1)}
       100:{3,4,5,6}:{(79,1),(90,1),(121,1),(122,1),(123,1),(157,1)}
       101:{1,3,4,6}:{(80,1),(82,1),(119,1),(124,1),(127,1),(159,1)}
       102:{1,2,5}:{(80,1),(81,1),(124,1)}
       103:{2,3,5,6}:{(81,1),(84,1),(121,1),(125,1),(126,1),(157,1)}
       104:{1,3,5,7}:{(82,1),(83,1),(124,1),(127,1),(132,1)}
       105:{1,2,4,6}:{(83,1),(84,1),(125,1),(127,1),(159,1)}
       106:{2,3,4,6,7}:{(84,1),(126,1),(128,1),(134,1),(163,1),(173,1)}
       107:{1,2,4,7}:{(85,1),(86,1),(117,1),(129,1)}
       108:{1,3,4,5,7}:{(86,1),(89,1),(118,1),(130,1),(131,1),(132,1),(155,1),(156,1),(173,1)}
       109:{3,4,7}:{(87,1),(119,1),(132,1)}
       110:{1,2,4,5,7}:{(87,1),(88,1),(89,1),(91,1),(120,1),(132,1),(133,1)}
       111:{2,4,6}:{(88,1),(90,1),(92,1)}
       112:{1,4,6}:{(89,1),(90,1),(93,1)}
       113:{3,4,6,7}:{(90,1),(94,1),(123,1),(134,1),(135,1),(163,1),(173,1)}
       114:{1,2,5,6}:{(91,1),(92,1),(93,1),(133,1)}
       115:{2,3,5,6,7}:{(92,1),(94,1),(126,1),(134,1),(136,1),(163,1),(172,1)}
       116:{1,3,5,6,7}:{(93,1),(94,1),(135,1),(136,1),(155,1),(160,1),(163,1)}
       117:{1,2,4,6}:{(95,1),(96,1),(107,1),(137,1),(138,1)}
       118:{1,3,5}:{(96,1),(99,1),(138,1),(140,1)}
       119:{3,4,6}:{(97,1),(109,1),(140,1),(151,1)}
       120:{1,2,4,5}:{(97,1),(98,1),(99,1),(102,1),(138,1),(140,1),(144,1),(164,1)}
       121:{2,4,5,6}:{(98,1),(100,1),(103,1),(111,1),(142,1)}
       122:{1,4,5,6}:{(99,1),(100,1),(112,1),(139,1),(143,1)}
       123:{3,4,5,7}:{(100,1),(113,1),(142,1),(143,1),(168,1)}
       124:{1,3,5}:{(101,1),(102,1),(140,1),(144,1)}
       125:{1,2,5,6}:{(102,1),(103,1),(105,1),(145,1),(146,1)}
       126:{2,3,5,7}:{(103,1),(106,1),(142,1),(146,1),(168,1)}
       127:{1,3,6}:{(104,1),(105,1),(151,1)}
       128:{1,2,4,6,7}:{(105,1),(106,1),(146,1),(147,1),(169,1)}
       129:{2,3,4,7}:{(107,1),(109,1),(137,1),(148,1),(174,1)}
       130:{1,2,4,5,7}:{(107,1),(108,1),(138,1),(148,1),(149,1),(164,1),(166,1),(174,1)}
       131:{1,3,4,6}:{(108,1),(112,1),(139,1),(149,1),(151,1),(167,1)}
       132:{3,5,7}:{(109,1),(110,1),(140,1),(151,1)}
       133:{1,2,4,6}:{(110,1),(111,1),(112,1),(114,1),(151,1)}
       134:{2,4,6,7}:{(111,1),(113,1),(115,1),(142,1),(174,1)}
       135:{1,4,6,7}:{(112,1),(113,1),(116,1),(143,1),(169,1)}
       136:{1,2,5,6,7}:{(114,1),(115,1),(116,1),(146,1),(152,1),(166,1)}
       137:{2,3,4,6}:{(117,1),(119,1),(129,1),(153,1),(161,1),(171,1)}
       138:{1,2,5}:{(117,1),(118,1),(153,1)}
       139:{1,3,5,6}:{(118,1),(122,1),(131,1),(154,1),(155,1),(157,1)}
       140:{3,5}:{(119,1),(120,1)}
       141:{1,2,4,5,6}:{(120,1),(121,1),(122,1),(125,1),(133,1),(154,1),(157,1),(158,1),(159,1),(171,1)}
       142:{2,4,5,7}:{(121,1),(123,1),(126,1),(134,1)}
       143:{1,4,5,7}:{(122,1),(123,1),(135,1),(155,1)}
       144:{1,4,5}:{(124,1),(156,1),(159,1)}
       145:{1,3,5,6}:{(124,1),(125,1),(127,1),(157,1),(159,1),(160,1)}
       146:{1,2,5,7}:{(125,1),(126,1),(128,1),(160,1)}
       147:{1,3,6,7}:{(127,1),(128,1),(160,1),(163,1)}
       148:{2,3,5,7}:{(129,1),(130,1),(132,1),(153,1),(161,1)}
       149:{1,2,4,6}:{(130,1),(131,1),(154,1),(161,1),(171,1)}
       150:{1,3,4,6,7}:{(131,1),(135,1),(155,1),(162,1),(163,1),(173,1)}
       151:{3,6}:{(132,1),(133,1)}
       152:{1,2,4,6,7}:{(133,1),(134,1),(135,1),(136,1),(158,1),(163,1)}
       153:{2,3,5}:{(137,1),(138,1),(140,1),(164,1)}
       154:{1,2,5,6}:{(138,1),(139,1),(149,1),(165,1),(166,1)}
       155:{1,3,5,7}:{(139,1),(143,1),(150,1),(166,1),(168,1)}
       156:{3,4,5}:{(140,1),(144,1),(164,1),(167,1)}
       157:{3,5,6}:{(140,1),(141,1),(151,1),(167,1),(168,1)}
       158:{1,2,4,5,7}:{(141,1),(142,1),(143,1),(146,1),(152,1),(166,1),(168,1),(169,1),(174,1)}
       159:{1,4,6}:{(144,1),(145,1),(167,1),(169,1)}
       160:{1,3,5,7}:{(145,1),(146,1),(147,1),(168,1),(169,1)}
       161:{2,3,6}:{(148,1),(149,1),(151,1)}
       162:{1,2,4,6,7}:{(149,1),(150,1),(166,1),(170,1),(174,1)}
       163:{3,6,7}:{(151,1),(152,1),(168,1)}
       164:{2,4,5}:{(153,1),(156,1),(171,1)}
       165:{2,3,5,6}:{(153,1),(154,1),(157,1),(161,1),(171,1),(172,1)}
       166:{1,2,5,7}:{(154,1),(155,1),(162,1),(172,1)}
       167:{3,4,6}:{(156,1),(157,1),(159,1),(171,1),(173,1)}
       168:{3,5,7}:{(157,1),(158,1),(163,1),(173,1)}
       169:{1,4,7}:{(159,1),(160,1),(173,1)}
       170:{2,3,6,7}:{(161,1),(162,1),(163,1),(172,1)}
       171:{2,4,6}:{(164,1),(165,1),(167,1),(174,1)}
       172:{2,3,5,7}:{(165,1),(166,1),(168,1),(170,1),(174,1)}
       173:{3,4,7}:{(167,1),(168,1),(169,1),(174,1)}
       174:{2,4,7}:{(171,1),(172,1),(173,1)}

1478 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(65,1),(72,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(53,1),(60,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(58,1),(61,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(48,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(45,1),(49,1)}
         5:{1,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(30,1),(54,1),(58,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(36,1),(76,1)}
         8:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(36,1),(53,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(37,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{1,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(42,1),(45,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(24,1),(87,1)}
        15:{2,4,5,6,7}:{(7,1),(8,1),(64,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(45,1)}
        17:{1,3,6,7}:{(9,1),(10,1)}
        18:{1,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{1,3,4,5}:{(11,1),(23,1)}
        20:{2,3,4,6}:{(13,1),(29,1),(30,1),(54,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(33,1),(54,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(29,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(30,1)}
        24:{1,3,5,6,7}:{(14,1),(31,1),(35,1),(36,1),(80,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(35,1),(36,1),(37,1),(57,1),(59,1)}
        26:{1,3,5,6,7}:{(16,1),(17,1),(36,1),(37,1),(38,1)}
        27:{1,3,4,6,7}:{(17,1),(18,1),(33,1),(37,1),(38,1),(39,1),(56,1)}
        28:{1,3,4,5,7}:{(18,1),(19,1),(34,1),(38,1),(39,1),(76,1)}
        29:{2,3,4,7}:{(20,1),(22,1),(42,1)}
        30:{2,3,5}:{(20,1),(23,1)}
        31:{1,3,4,6,7}:{(24,1),(40,1),(43,1),(48,1)}
        32:{1,2,3,5,6,7}:{(21,1),(26,1),(44,1),(45,1),(47,1),(65,1),(66,1),(69,1),(89,1),(91,1)}
        33:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(41,1),(45,1),(46,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(42,1),(45,1),(46,1),(64,1)}
        35:{1,2,5,6,7}:{(24,1),(43,1),(47,1),(89,1)}
        36:{3,5,6,7}:{(25,1),(48,1),(69,1)}
        37:{1,4,6,7}:{(26,1),(48,1),(49,1)}
        38:{1,3,5,7}:{(27,1),(45,1),(49,1),(50,1),(69,1)}
        39:{1,3,4,6}:{(28,1),(46,1),(50,1),(88,1)}
        40:{1,3,4,5,7}:{(31,1),(51,1),(52,1),(60,1),(80,1),(94,1)}
        41:{2,3,4,6,7}:{(29,1),(33,1),(53,1),(54,1),(56,1),(77,1)}
        42:{2,3,5,7}:{(29,1),(30,1),(34,1),(54,1)}
        43:{1,2,4,6,7}:{(31,1),(35,1),(52,1),(55,1),(59,1)}
        44:{1,2,4,6,7}:{(32,1),(37,1),(56,1),(57,1),(59,1),(77,1),(97,1)}
        45:{1,2,5,7}:{(33,1),(38,1),(53,1),(58,1)}
        46:{1,2,4,6}:{(34,1),(39,1),(54,1),(58,1),(77,1)}
        47:{2,3,5,6,7}:{(35,1),(36,1),(55,1),(59,1),(79,1)}
        48:{3,4,6,7}:{(36,1),(37,1),(59,1),(60,1)}
        49:{1,4,5,7}:{(37,1),(38,1),(60,1),(61,1)}
        50:{1,3,5,6}:{(38,1),(39,1),(58,1),(61,1),(81,1)}
        51:{1,3,4,5,6}:{(40,1),(62,1),(72,1),(91,1),(99,1)}
        52:{1,2,4,5,7}:{(40,1),(43,1),(62,1),(63,1),(71,1),(85,1),(89,1)}
        53:{2,3,5,7}:{(41,1),(45,1),(64,1),(65,1),(69,1)}
        54:{2,3,6}:{(42,1),(46,1)}
        55:{2,3,6,7}:{(43,1),(63,1)}
        56:{3,4,6,7}:{(44,1),(69,1),(88,1)}
        57:{1,2,4,5,7}:{(44,1),(45,1),(49,1),(64,1),(69,1),(70,1),(71,1),(87,1),(89,1)}
        58:{1,2,5,6}:{(45,1),(46,1),(50,1),(65,1)}
        59:{2,4,6,7}:{(47,1),(48,1),(71,1)}
        60:{3,4,5,7}:{(48,1),(49,1),(69,1),(71,1),(72,1)}
        61:{1,4,5,6}:{(49,1),(50,1),(72,1)}
        62:{1,2,4,5,6}:{(51,1),(52,1),(73,1),(82,1),(92,1),(98,1)}
        63:{2,3,5,7}:{(52,1),(55,1),(73,1),(75,1)}
        64:{2,4,5,7}:{(53,1),(76,1),(77,1)}
        65:{2,3,5,6}:{(53,1),(54,1),(58,1),(77,1),(81,1)}
        66:{1,2,3,6,7}:{(55,1),(74,1),(78,1),(104,1)}
        67:{2,3,4,6,7}:{(55,1),(56,1),(59,1),(75,1),(78,1),(79,1),(96,1)}
        68:{1,3,4,6,7}:{(56,1),(78,1),(80,1),(94,1),(97,1),(104,1)}
        69:{3,5,7}:{(56,1),(57,1),(81,1)}
        70:{1,2,4,5,6}:{(57,1),(58,1),(61,1),(77,1),(81,1),(82,1),(97,1),(98,1)}
        71:{2,4,5,7}:{(59,1),(60,1),(79,1),(82,1)}
        72:{3,4,5,6}:{(60,1),(61,1),(81,1),(82,1)}
        73:{2,3,5,6}:{(62,1),(63,1),(84,1)}
        74:{1,2,3,5,7}:{(63,1),(66,1),(83,1),(85,1),(89,1),(101,1)}
        75:{2,3,4,7}:{(63,1),(84,1),(85,1)}
        76:{3,4,5,7}:{(64,1),(69,1),(87,1),(88,1)}
        77:{2,4,6}:{(64,1),(65,1),(88,1)}
        78:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(85,1),(89,1),(102,1)}
        79:{2,3,5,7}:{(67,1),(69,1),(71,1),(89,1),(90,1)}
        80:{1,3,5,7}:{(68,1),(69,1),(87,1),(89,1),(91,1)}
        81:{3,5,6}:{(69,1),(70,1),(88,1)}
        82:{2,4,5,6}:{(71,1),(72,1),(90,1)}
        83:{1,2,3,5,6}:{(73,1),(74,1),(92,1),(98,1),(103,1),(104,1)}
        84:{2,3,4,6}:{(73,1),(75,1),(92,1),(93,1)}
        85:{1,2,4,7}:{(74,1),(75,1),(92,1),(94,1)}
        86:{2,3,4,5,7}:{(75,1),(76,1),(79,1),(93,1),(95,1),(96,1)}
        87:{1,4,5,7}:{(76,1),(80,1),(97,1)}
        88:{3,4,6}:{(76,1),(77,1),(81,1),(97,1)}
        89:{1,2,5,7}:{(78,1),(79,1),(80,1),(98,1)}
        90:{2,3,5,6}:{(79,1),(81,1),(82,1),(96,1),(98,1)}
        91:{1,3,5,6}:{(80,1),(81,1),(97,1),(98,1),(104,1)}
        92:{1,2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        93:{2,3,4,5}:{(84,1),(100,1)}
        94:{1,3,4,7}:{(85,1),(99,1),(101,1)}
        95:{1,2,4,5,7}:{(85,1),(86,1),(87,1),(89,1),(100,1),(101,1),(102,1)}
        96:{2,3,4,6}:{(86,1),(88,1),(90,1),(102,1)}
        97:{1,4,6}:{(87,1),(88,1),(91,1)}
        98:{1,2,5,6}:{(89,1),(90,1),(91,1),(102,1)}
        99:{1,3,4,6}:{(92,1),(94,1),(103,1),(104,1)}
       100:{1,2,4,5}:{(92,1),(93,1),(103,1)}
       101:{1,3,5,7}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       103:{1,3,5}:{(99,1),(100,1)}
       104:{1,3,6}:{(101,1),(102,1)}

1479 :   0:{1,4,5,6,7}:{(1,1),(12,1),(163,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(182,1)}
         2:{1,3,4,5,7}:{(7,1),(8,1),(10,1),(57,1),(72,1),(103,1),(111,1),(114,1),(119,1),(122,1)}
         3:{1,3,4,6,7}:{(7,1),(10,1),(11,1),(12,1),(38,1),(72,1),(75,1)}
         4:{3,4,6,7}:{(1,1),(9,1),(12,1),(13,1),(38,1),(165,1)}
         5:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(14,1),(38,1),(115,1)}
         6:{2,5,6,7}:{(1,1),(13,1),(197,1)}
         7:{1,3,4,6}:{(2,1),(16,1),(17,1),(86,1),(141,1),(146,1),(148,1)}
         8:{1,2,4,5,7}:{(2,1),(17,1),(18,1),(21,1),(41,1),(52,1),(83,1),(87,1)}
         9:{3,4,5,7}:{(4,1),(15,1),(19,1),(20,1),(51,1)}
        10:{1,3,5,7}:{(3,1),(16,1),(19,1),(21,1),(51,1),(99,1)}
        11:{1,2,4,6,7}:{(3,1),(17,1),(21,1),(22,1),(52,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(19,1),(141,1)}
        13:{2,4,6,7}:{(4,1),(6,1),(20,1),(23,1),(184,1)}
        14:{1,2,5,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(94,1),(99,1)}
        15:{3,4,5,6}:{(9,1),(27,1),(28,1),(63,1),(153,1),(165,1)}
        16:{1,3,5,6}:{(7,1),(10,1),(27,1),(29,1),(63,1),(103,1),(125,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(29,1),(30,1),(64,1)}
        18:{2,3,5,7}:{(8,1),(30,1),(31,1),(65,1),(119,1)}
        19:{1,4,5,7}:{(9,1),(10,1),(12,1),(27,1)}
        20:{2,4,5,7}:{(9,1),(13,1),(28,1),(33,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(29,1),(35,1)}
        22:{2,3,6,7}:{(11,1),(30,1),(35,1),(38,1)}
        23:{2,3,6,7}:{(13,1),(33,1),(37,1),(38,1),(168,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(34,1),(37,1),(38,1),(39,1),(75,1),(120,1)}
        25:{2,3,5,6,7}:{(14,1),(35,1),(38,1),(39,1),(74,1),(76,1)}
        26:{1,2,3,5,7}:{(18,1),(40,1),(41,1),(80,1),(83,1)}
        27:{1,4,5,6}:{(15,1),(16,1),(19,1),(128,1),(141,1)}
        28:{2,4,5,6}:{(15,1),(20,1),(42,1),(173,1),(184,1)}
        29:{1,2,5,6}:{(16,1),(17,1),(21,1),(44,1),(83,1)}
        30:{2,3,6}:{(17,1),(18,1),(146,1)}
        31:{2,3,4,7}:{(18,1),(41,1),(45,1),(52,1),(92,1)}
        32:{1,2,3,6,7}:{(22,1),(40,1),(48,1),(49,1),(54,1),(130,1),(146,1),(186,1),(187,1)}
        33:{2,3,5,7}:{(20,1),(23,1),(42,1),(47,1),(50,1),(51,1)}
        34:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(24,1),(43,1),(50,1),(51,1),(52,1),(56,1),(95,1),(99,1)}
        35:{2,3,5,7}:{(21,1),(22,1),(44,1),(51,1),(52,1)}
        36:{2,3,4,6,7}:{(22,1),(45,1),(49,1),(52,1),(53,1),(55,1),(92,1),(97,1),(146,1)}
        37:{1,2,6,7}:{(23,1),(50,1),(54,1),(186,1)}
        38:{3,6,7}:{(24,1),(51,1),(146,1)}
        39:{2,4,6,7}:{(25,1),(52,1),(55,1),(56,1),(97,1)}
        40:{1,2,3,6}:{(26,1),(30,1),(60,1),(104,1)}
        41:{1,2,4,7}:{(26,1),(31,1),(57,1),(60,1)}
        42:{2,3,5,6}:{(28,1),(33,1),(58,1),(62,1),(63,1),(157,1),(168,1)}
        43:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(34,1),(62,1),(63,1),(64,1),(77,1),(107,1),(110,1),(120,1),(125,1)}
        44:{2,3,5,6}:{(29,1),(30,1),(35,1),(63,1),(64,1),(65,1)}
        45:{2,3,4,6}:{(30,1),(31,1),(60,1),(64,1),(65,1),(106,1)}
        46:{2,3,4,5,7}:{(31,1),(61,1),(65,1),(66,1),(73,1),(113,1),(119,1),(153,1),(164,1),(193,1)}
        47:{2,3,4,7}:{(33,1),(58,1),(68,1),(72,1)}
        48:{1,2,3,5,7}:{(32,1),(35,1),(59,1),(69,1),(70,1),(71,1),(116,1),(119,1),(155,1),(167,1),(195,1)}
        49:{1,2,4,6,7}:{(32,1),(36,1),(60,1),(67,1),(69,1),(70,1),(75,1),(120,1),(199,1)}
        50:{1,2,5,7}:{(33,1),(37,1),(62,1),(68,1),(71,1)}
        51:{3,5,7}:{(34,1),(38,1),(63,1),(72,1)}
        52:{2,4,7}:{(35,1),(64,1),(72,1)}
        53:{2,3,5,7}:{(36,1),(65,1),(70,1),(73,1),(74,1),(76,1),(119,1)}
        54:{1,3,6,7}:{(37,1),(38,1),(71,1),(75,1),(169,1)}
        55:{3,4,6,7}:{(38,1),(39,1),(72,1),(75,1),(76,1),(123,1)}
        56:{2,4,5,7}:{(39,1),(76,1),(77,1)}
        57:{1,3,4,7}:{(41,1),(79,1),(80,1),(92,1),(176,1)}
        58:{2,3,4,6}:{(42,1),(47,1),(78,1),(81,1),(86,1)}
        59:{1,2,3,5,6}:{(40,1),(44,1),(48,1),(82,1),(83,1),(85,1),(94,1),(129,1),(131,1),(134,1),(146,1),(177,1),(178,1),(186,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(45,1),(79,1),(83,1)}
        61:{1,2,4,5,7}:{(41,1),(46,1),(80,1),(83,1),(84,1),(128,1),(136,1),(176,1)}
        62:{1,2,5,6}:{(42,1),(50,1),(81,1),(85,1),(177,1),(186,1)}
        63:{3,5,6}:{(43,1),(51,1),(86,1),(134,1),(146,1)}
        64:{2,4,6}:{(44,1),(52,1),(86,1),(87,1)}
        65:{2,3,5}:{(45,1),(83,1),(87,1),(134,1)}
        66:{2,3,4,6}:{(46,1),(84,1),(88,1),(97,1),(146,1),(175,1),(184,1)}
        67:{1,3,4,6,7}:{(49,1),(79,1),(90,1),(92,1),(130,1),(141,1),(146,1),(176,1),(185,1)}
        68:{1,2,4,7}:{(47,1),(50,1),(81,1),(91,1),(95,1)}
        69:{1,2,4,7}:{(48,1),(52,1),(82,1),(92,1),(95,1),(176,1),(203,1)}
        70:{1,2,5,7}:{(49,1),(53,1),(83,1),(90,1),(94,1),(99,1),(206,1)}
        71:{1,3,5,7}:{(50,1),(51,1),(54,1),(85,1),(91,1),(95,1),(99,1)}
        72:{3,4,7}:{(51,1),(52,1),(86,1),(95,1)}
        73:{2,4,5,7}:{(52,1),(53,1),(87,1),(96,1),(97,1)}
        74:{2,3,5,6}:{(53,1),(94,1),(97,1),(100,1),(146,1)}
        75:{1,4,6,7}:{(54,1),(55,1),(95,1),(99,1),(148,1)}
        76:{3,5,7}:{(55,1),(56,1),(99,1),(100,1)}
        77:{2,4,5,6}:{(56,1),(97,1),(100,1)}
        78:{2,3,4,5}:{(58,1),(102,1),(111,1),(157,1),(189,1)}
        79:{1,3,4,6}:{(57,1),(60,1),(103,1),(104,1),(106,1),(154,1)}
        80:{1,3,5,7}:{(57,1),(61,1),(103,1),(104,1),(119,1)}
        81:{1,2,4,6}:{(58,1),(62,1),(68,1),(102,1),(105,1),(110,1)}
        82:{1,2,4,6}:{(59,1),(64,1),(69,1),(106,1),(107,1),(110,1),(154,1),(191,1)}
        83:{1,2,5}:{(60,1),(65,1),(103,1)}
        84:{1,2,4,6}:{(61,1),(66,1),(104,1),(108,1),(154,1)}
        85:{1,3,5,6}:{(62,1),(63,1),(71,1),(105,1),(110,1),(125,1),(158,1),(169,1)}
        86:{3,4,6}:{(63,1),(64,1),(72,1),(110,1),(111,1)}
        87:{2,4,5}:{(64,1),(65,1),(111,1)}
        88:{2,3,5,6}:{(65,1),(66,1),(108,1),(112,1),(113,1),(159,1),(197,1)}
        89:{2,3,4,6,7}:{(66,1),(109,1),(113,1),(124,1),(170,1),(193,1),(199,1)}
        90:{1,3,5,7}:{(67,1),(70,1),(103,1),(114,1),(115,1),(119,1),(198,1)}
        91:{1,3,7}:{(68,1),(105,1)}
        92:{3,4,7}:{(69,1),(106,1),(119,1)}
        93:{1,2,4,5,7}:{(69,1),(70,1),(73,1),(107,1),(114,1),(119,1),(120,1),(122,1),(164,1),(167,1)}
        94:{1,2,5,6}:{(70,1),(74,1),(115,1),(120,1),(125,1),(197,1)}
        95:{1,4,7}:{(71,1),(72,1),(110,1)}
        96:{3,4,5,7}:{(72,1),(73,1),(76,1),(111,1),(119,1),(122,1),(123,1)}
        97:{2,4,6}:{(73,1),(74,1),(123,1)}
        98:{2,3,5,6,7}:{(74,1),(113,1),(121,1),(124,1),(126,1),(170,1)}
        99:{1,5,7}:{(75,1),(76,1),(125,1)}
       100:{3,5,6}:{(76,1),(77,1),(123,1),(125,1)}
       101:{2,4,5,6,7}:{(77,1),(124,1),(126,1)}
       102:{1,2,4,5}:{(78,1),(81,1),(127,1),(137,1),(172,1),(177,1)}
       103:{1,3,5}:{(79,1),(83,1),(128,1),(134,1)}
       104:{1,3,6}:{(80,1),(84,1),(146,1)}
       105:{1,3,6}:{(81,1),(91,1),(127,1)}
       106:{3,4,6}:{(82,1),(92,1),(134,1),(146,1)}
       107:{1,2,4,5}:{(82,1),(83,1),(87,1),(128,1),(134,1),(137,1),(173,1),(177,1)}
       108:{1,2,5,6}:{(83,1),(84,1),(88,1),(129,1),(136,1)}
       109:{1,2,4,6,7}:{(84,1),(89,1),(130,1),(136,1),(176,1)}
       110:{1,4,6}:{(85,1),(86,1),(95,1),(137,1)}
       111:{3,4,5}:{(86,1),(87,1),(134,1),(137,1)}
       112:{2,4,5,6}:{(87,1),(88,1),(97,1),(138,1),(139,1)}
       113:{2,3,5,7}:{(88,1),(89,1),(136,1),(139,1),(180,1),(206,1)}
       114:{1,4,5,7}:{(90,1),(128,1),(140,1),(141,1),(176,1)}
       115:{1,3,5,6}:{(90,1),(94,1),(141,1),(146,1),(182,1)}
       116:{1,2,3,7}:{(91,1),(131,1),(143,1),(209,1)}
       117:{2,3,4,7}:{(92,1),(132,1),(143,1),(144,1),(203,1),(209,1)}
       118:{1,3,4,7}:{(91,1),(92,1),(95,1),(133,1),(143,1),(145,1)}
       119:{3,5,7}:{(92,1),(93,1),(134,1),(146,1)}
       120:{1,2,4,6}:{(93,1),(94,1),(97,1),(141,1),(146,1),(148,1),(184,1),(186,1)}
       121:{1,2,5,6,7}:{(94,1),(98,1),(136,1),(142,1),(147,1),(150,1),(206,1)}
       122:{1,4,5,7}:{(95,1),(96,1),(99,1),(137,1),(145,1),(148,1)}
       123:{3,4,6}:{(96,1),(97,1),(100,1),(146,1),(148,1)}
       124:{2,4,6,7}:{(97,1),(98,1),(139,1),(149,1)}
       125:{1,5,6}:{(99,1),(100,1),(148,1)}
       126:{3,5,6,7}:{(100,1),(101,1),(149,1),(150,1)}
       127:{1,3,5}:{(102,1),(105,1),(152,1)}
       128:{1,4,5}:{(103,1),(153,1),(154,1)}
       129:{1,3,5,6}:{(103,1),(104,1),(108,1),(154,1),(155,1),(159,1)}
       130:{1,3,6,7}:{(104,1),(109,1),(155,1),(170,1)}
       131:{1,2,3,6}:{(105,1),(116,1),(151,1),(156,1),(207,1)}
       132:{2,3,4,6}:{(106,1),(117,1),(156,1),(157,1),(168,1),(189,1),(191,1),(207,1)}
       133:{1,3,4,6}:{(105,1),(106,1),(110,1),(118,1),(152,1),(156,1),(158,1),(169,1)}
       134:{3,5}:{(106,1),(107,1)}
       135:{1,2,4,5,6}:{(107,1),(108,1),(112,1),(120,1),(154,1),(159,1),(160,1),(161,1),(163,1),(191,1),(194,1),(197,1)}
       136:{1,2,5,7}:{(108,1),(109,1),(113,1),(155,1)}
       137:{1,4,5}:{(110,1),(111,1),(158,1)}
       138:{3,4,5,6}:{(111,1),(112,1),(123,1),(159,1),(161,1),(162,1)}
       139:{2,4,5,7}:{(112,1),(113,1),(124,1),(162,1)}
       140:{3,4,5,7}:{(114,1),(119,1),(153,1),(164,1),(165,1),(193,1),(198,1)}
       141:{1,4,6}:{(114,1),(115,1),(165,1)}
       142:{1,3,5,6,7}:{(115,1),(121,1),(155,1),(166,1),(170,1),(198,1)}
       143:{1,2,4,7}:{(116,1),(117,1),(118,1),(156,1),(167,1)}
       144:{2,3,5,7}:{(117,1),(119,1),(157,1),(164,1),(167,1),(168,1)}
       145:{1,3,5,7}:{(118,1),(119,1),(122,1),(158,1),(167,1),(169,1)}
       146:{3,6}:{(119,1),(120,1)}
       147:{1,2,4,6,7}:{(120,1),(121,1),(124,1),(160,1),(166,1),(170,1),(171,1),(199,1),(200,1)}
       148:{1,4,6}:{(122,1),(123,1),(125,1),(169,1)}
       149:{3,4,6,7}:{(123,1),(124,1),(126,1),(162,1),(170,1),(171,1)}
       150:{1,5,6,7}:{(125,1),(126,1),(171,1)}
       151:{1,2,3,5}:{(127,1),(131,1),(172,1),(177,1),(201,1)}
       152:{1,3,4}:{(127,1),(172,1)}
       153:{3,4,5}:{(128,1),(134,1),(173,1),(175,1)}
       154:{1,4,6}:{(128,1),(129,1),(175,1),(176,1)}
       155:{1,3,5,7}:{(129,1),(130,1),(136,1),(176,1),(180,1)}
       156:{1,2,4,6}:{(131,1),(132,1),(133,1),(143,1),(172,1),(177,1),(186,1)}
       157:{2,3,5}:{(132,1),(134,1),(173,1),(177,1)}
       158:{1,3,5}:{(133,1),(134,1),(137,1),(177,1)}
       159:{3,5,6}:{(134,1),(135,1),(146,1),(175,1),(180,1)}
       160:{1,2,4,5,7}:{(135,1),(136,1),(139,1),(147,1),(176,1),(180,1),(181,1),(183,1),(203,1),(205,1),(206,1)}
       161:{1,4,5,6}:{(137,1),(138,1),(148,1),(179,1),(181,1)}
       162:{3,4,5,7}:{(138,1),(139,1),(149,1),(180,1),(181,1)}
       163:{1,4,5,6}:{(141,1),(182,1),(183,1)}
       164:{2,4,5,7}:{(140,1),(144,1),(173,1),(184,1),(203,1),(206,1)}
       165:{3,4,6}:{(140,1),(141,1),(146,1),(182,1),(184,1)}
       166:{1,4,6,7}:{(141,1),(142,1),(176,1),(183,1),(185,1)}
       167:{1,2,5,7}:{(143,1),(144,1),(145,1),(177,1),(186,1)}
       168:{2,3,6}:{(144,1),(146,1),(184,1),(186,1)}
       169:{1,3,6}:{(145,1),(146,1),(148,1),(186,1)}
       170:{3,6,7}:{(146,1),(147,1),(180,1)}
       171:{1,4,6,7}:{(148,1),(149,1),(150,1),(181,1),(188,1)}
       172:{1,2,4}:{(151,1),(152,1),(189,1)}
       173:{2,4,5}:{(153,1),(157,1),(191,1)}
       174:{1,3,4,5}:{(152,1),(153,1),(158,1),(190,1),(192,1)}
       175:{3,4,6}:{(153,1),(154,1),(159,1),(191,1),(193,1)}
       176:{1,4,7}:{(154,1),(155,1),(193,1)}
       177:{1,2,5}:{(156,1),(157,1),(158,1)}
       178:{2,3,5,6}:{(157,1),(159,1),(168,1),(191,1),(194,1),(195,1),(197,1),(207,1)}
       179:{1,3,5,6}:{(158,1),(159,1),(161,1),(169,1),(192,1),(194,1),(196,1)}
       180:{3,5,7}:{(159,1),(160,1),(170,1),(193,1)}
       181:{1,4,5,7}:{(161,1),(162,1),(171,1),(196,1)}
       182:{3,5,6}:{(163,1),(165,1),(197,1),(198,1)}
       183:{1,4,5,7}:{(163,1),(166,1),(198,1)}
       184:{2,4,6}:{(164,1),(165,1),(168,1),(197,1)}
       185:{3,4,6,7}:{(165,1),(166,1),(170,1),(193,1),(198,1),(199,1)}
       186:{1,2,6}:{(167,1),(168,1),(169,1)}
       187:{2,3,6,7}:{(168,1),(170,1),(195,1),(199,1),(200,1)}
       188:{1,3,6,7}:{(169,1),(170,1),(171,1),(196,1),(200,1)}
       189:{2,3,4}:{(172,1),(201,1)}
       190:{1,2,4,5}:{(172,1),(173,1),(174,1),(177,1),(201,1),(202,1)}
       191:{2,4,6}:{(173,1),(175,1),(178,1),(203,1)}
       192:{1,3,4,6}:{(174,1),(175,1),(179,1),(202,1),(204,1)}
       193:{3,4,7}:{(175,1),(176,1),(180,1),(203,1)}
       194:{1,2,5,6}:{(177,1),(178,1),(179,1),(186,1),(202,1),(205,1)}
       195:{2,3,5,7}:{(178,1),(180,1),(187,1),(203,1),(205,1),(206,1),(209,1)}
       196:{1,3,5,7}:{(179,1),(180,1),(181,1),(188,1),(204,1),(205,1)}
       197:{2,5,6}:{(182,1),(184,1),(206,1)}
       198:{3,5,7}:{(182,1),(183,1),(185,1),(206,1)}
       199:{2,4,6,7}:{(184,1),(185,1),(187,1),(203,1),(206,1)}
       200:{1,2,6,7}:{(186,1),(187,1),(188,1),(205,1)}
       201:{2,3,5}:{(189,1),(190,1),(207,1)}
       202:{1,2,4,6}:{(190,1),(191,1),(192,1),(194,1),(207,1),(208,1)}
       203:{2,4,7}:{(191,1),(193,1),(195,1)}
       204:{1,3,4,7}:{(192,1),(193,1),(196,1),(208,1)}
       205:{1,2,5,7}:{(194,1),(195,1),(196,1),(200,1),(208,1)}
       206:{2,5,7}:{(197,1),(198,1),(199,1)}
       207:{2,3,6}:{(201,1),(202,1),(209,1)}
       208:{1,2,4,7}:{(202,1),(203,1),(204,1),(205,1),(209,1)}
       209:{2,3,7}:{(207,1),(208,1)}

1480 :   0:{1,3,4,5,7}:{(1,1),(2,1),(12,1),(33,1),(80,1),(94,1),(97,1),(137,1),(146,1),(157,1)}
         1:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(21,1),(25,1),(60,1),(67,1),(70,1)}
         2:{1,3,4,6}:{(0,1),(6,1),(7,1),(71,1),(166,1),(174,1),(182,1)}
         3:{2,3,4,5,7}:{(8,1),(9,1),(13,1),(32,1),(46,1),(93,1),(138,1),(141,1),(146,1),(190,1)}
         4:{1,3,4,6,7}:{(2,1),(11,1),(12,1),(41,1),(90,1),(94,1),(154,1)}
         5:{2,3,5,7}:{(1,1),(13,1),(14,1),(46,1),(146,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(14,1),(15,1),(47,1)}
         7:{1,3,5,6}:{(2,1),(12,1),(15,1),(16,1),(48,1),(80,1),(199,1)}
         8:{1,2,4,5,7}:{(3,1),(18,1),(19,1),(21,1),(52,1),(60,1),(106,1),(109,1)}
         9:{2,3,4,6}:{(3,1),(19,1),(20,1),(110,1),(124,1),(174,1),(203,1)}
        10:{1,2,3,5,7}:{(5,1),(18,1),(21,1),(22,1),(60,1)}
        11:{1,2,4,6,7}:{(4,1),(6,1),(24,1),(25,1),(67,1)}
        12:{1,3,5,7}:{(4,1),(7,1),(25,1),(26,1),(68,1),(181,1)}
        13:{2,3,4,7}:{(5,1),(21,1),(27,1),(67,1),(115,1)}
        14:{2,3,6}:{(5,1),(6,1),(174,1)}
        15:{1,2,5,6}:{(6,1),(7,1),(25,1),(28,1),(60,1)}
        16:{1,4,5,6}:{(7,1),(26,1),(30,1),(109,1),(166,1)}
        17:{2,3,4,6,7}:{(9,1),(31,1),(32,1),(75,1),(134,1),(138,1),(187,1)}
        18:{1,3,5,7}:{(8,1),(33,1),(34,1),(80,1),(146,1)}
        19:{1,2,4,6}:{(8,1),(9,1),(34,1),(35,1),(81,1)}
        20:{2,3,5,6}:{(9,1),(32,1),(35,1),(36,1),(46,1),(82,1),(208,1)}
        21:{1,2,4,7}:{(10,1),(13,1),(33,1),(38,1)}
        22:{1,2,3,6}:{(10,1),(14,1),(34,1),(38,1)}
        23:{1,3,5,6,7}:{(12,1),(40,1),(41,1),(88,1),(90,1),(136,1)}
        24:{2,3,6,7}:{(11,1),(14,1),(43,1),(90,1)}
        25:{1,2,5,7}:{(11,1),(12,1),(15,1),(43,1)}
        26:{1,4,5,7}:{(12,1),(16,1),(41,1),(45,1)}
        27:{2,3,4,6}:{(13,1),(14,1),(38,1),(46,1),(47,1),(87,1)}
        28:{2,3,5,6}:{(14,1),(15,1),(43,1),(46,1),(47,1),(48,1)}
        29:{1,2,4,5,6}:{(15,1),(16,1),(44,1),(47,1),(48,1),(49,1),(86,1),(98,1),(100,1),(145,1),(152,1),(199,1)}
        30:{3,4,5,6}:{(16,1),(45,1),(48,1),(49,1),(141,1),(189,1)}
        31:{1,2,4,6,7}:{(17,1),(19,1),(51,1),(52,1),(106,1)}
        32:{2,3,5,7}:{(17,1),(20,1),(52,1),(53,1),(107,1),(202,1)}
        33:{1,3,4,7}:{(18,1),(21,1),(54,1),(106,1),(115,1)}
        34:{1,3,6}:{(18,1),(19,1),(174,1)}
        35:{1,2,5,6}:{(19,1),(20,1),(52,1),(55,1),(60,1)}
        36:{2,4,5,6}:{(20,1),(53,1),(57,1),(70,1),(124,1)}
        37:{1,2,3,6,7}:{(22,1),(24,1),(51,1),(58,1),(59,1),(122,1),(165,1),(174,1),(206,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(27,1),(54,1),(60,1)}
        39:{1,2,3,5,6}:{(22,1),(28,1),(55,1),(59,1),(60,1),(61,1),(72,1),(112,1),(113,1),(116,1),(174,1),(178,1),(179,1),(206,1)}
        40:{1,2,5,6,7}:{(23,1),(25,1),(63,1),(64,1),(113,1),(119,1),(181,1)}
        41:{1,4,6,7}:{(23,1),(26,1),(65,1),(166,1)}
        42:{2,3,4,6,7}:{(24,1),(27,1),(58,1),(66,1),(67,1),(115,1),(121,1),(124,1),(174,1)}
        43:{2,3,5,7}:{(24,1),(25,1),(28,1),(67,1),(68,1)}
        44:{1,2,4,5,7}:{(25,1),(26,1),(29,1),(64,1),(67,1),(68,1),(69,1),(120,1),(126,1),(128,1),(181,1)}
        45:{3,4,5,7}:{(26,1),(30,1),(65,1),(68,1),(69,1)}
        46:{2,3,5}:{(27,1),(60,1),(70,1),(116,1)}
        47:{2,4,6}:{(28,1),(67,1),(70,1),(71,1)}
        48:{3,5,6}:{(29,1),(68,1),(71,1),(116,1),(174,1)}
        49:{2,4,5,6}:{(30,1),(69,1),(73,1),(172,1),(203,1)}
        50:{2,3,5,6,7}:{(32,1),(74,1),(75,1),(92,1),(132,1),(134,1)}
        51:{1,3,6,7}:{(31,1),(34,1),(77,1),(134,1)}
        52:{1,2,5,7}:{(31,1),(32,1),(35,1),(77,1)}
        53:{2,4,5,7}:{(32,1),(36,1),(75,1),(79,1)}
        54:{1,3,4,6}:{(33,1),(34,1),(38,1),(80,1),(81,1),(87,1)}
        55:{1,3,5,6}:{(34,1),(35,1),(77,1),(80,1),(81,1),(82,1)}
        56:{1,2,4,5,6}:{(35,1),(36,1),(78,1),(81,1),(82,1),(83,1),(86,1),(143,1),(144,1),(145,1),(185,1),(208,1)}
        57:{3,4,5,6}:{(36,1),(79,1),(82,1),(83,1),(97,1),(156,1)}
        58:{1,2,4,6,7}:{(37,1),(38,1),(42,1),(76,1),(84,1),(85,1),(145,1),(154,1),(187,1)}
        59:{1,2,3,5,7}:{(37,1),(39,1),(43,1),(77,1),(84,1),(85,1),(95,1),(140,1),(146,1),(196,1),(197,1)}
        60:{1,2,5}:{(38,1),(46,1),(80,1)}
        61:{1,2,4,6}:{(39,1),(47,1),(81,1),(85,1),(86,1),(87,1),(98,1),(143,1)}
        62:{1,4,5,6,7}:{(41,1),(88,1),(185,1)}
        63:{2,3,5,6,7}:{(40,1),(43,1),(89,1),(90,1),(92,1),(153,1)}
        64:{1,2,4,6,7}:{(40,1),(41,1),(44,1),(89,1),(90,1),(91,1),(145,1),(154,1),(155,1)}
        65:{3,4,6,7}:{(41,1),(45,1),(88,1),(90,1),(91,1),(189,1)}
        66:{2,3,5,7}:{(42,1),(46,1),(84,1),(92,1),(93,1),(146,1),(153,1)}
        67:{2,4,7}:{(43,1),(47,1),(94,1)}
        68:{3,5,7}:{(44,1),(48,1),(90,1),(94,1)}
        69:{2,4,5,7}:{(45,1),(49,1),(91,1),(96,1)}
        70:{2,4,5}:{(46,1),(47,1),(97,1)}
        71:{3,4,6}:{(47,1),(48,1),(94,1),(97,1),(98,1)}
        72:{1,3,5,6}:{(48,1),(95,1),(98,1),(100,1),(149,1),(160,1),(194,1),(199,1)}
        73:{2,3,5,6}:{(48,1),(49,1),(96,1),(99,1),(100,1),(150,1),(195,1)}
        74:{1,2,5,6,7}:{(50,1),(52,1),(102,1),(103,1),(113,1),(161,1),(202,1)}
        75:{2,4,6,7}:{(50,1),(53,1),(104,1),(124,1)}
        76:{1,3,4,6,7}:{(51,1),(54,1),(58,1),(105,1),(106,1),(115,1),(163,1),(166,1),(174,1)}
        77:{1,3,5,7}:{(51,1),(52,1),(55,1),(106,1),(107,1)}
        78:{1,2,4,5,7}:{(52,1),(53,1),(56,1),(103,1),(106,1),(107,1),(108,1),(162,1),(169,1),(170,1),(202,1)}
        79:{3,4,5,7}:{(53,1),(57,1),(104,1),(107,1),(108,1)}
        80:{1,3,5}:{(54,1),(60,1),(109,1),(116,1)}
        81:{1,4,6}:{(55,1),(106,1),(109,1),(110,1)}
        82:{3,5,6}:{(56,1),(107,1),(110,1),(116,1),(174,1)}
        83:{1,4,5,6}:{(57,1),(108,1),(111,1),(129,1),(182,1)}
        84:{1,2,5,7}:{(58,1),(60,1),(66,1),(105,1),(113,1),(181,1),(202,1)}
        85:{1,2,4,7}:{(59,1),(61,1),(67,1),(106,1),(115,1),(126,1),(169,1)}
        86:{1,2,4,5}:{(60,1),(61,1),(70,1),(109,1),(116,1),(129,1),(172,1),(178,1)}
        87:{3,4,6}:{(61,1),(115,1),(116,1),(174,1)}
        88:{3,5,6,7}:{(62,1),(65,1),(119,1),(201,1)}
        89:{2,4,6,7}:{(63,1),(67,1),(120,1),(121,1),(124,1)}
        90:{3,6,7}:{(64,1),(68,1),(174,1)}
        91:{2,4,6,7}:{(65,1),(69,1),(119,1),(123,1),(203,1)}
        92:{2,3,5,6}:{(66,1),(113,1),(124,1),(174,1),(180,1)}
        93:{2,4,5,7}:{(66,1),(67,1),(70,1),(124,1),(125,1)}
        94:{3,4,7}:{(67,1),(68,1),(71,1),(126,1)}
        95:{1,3,5,7}:{(68,1),(72,1),(122,1),(126,1),(128,1),(181,1),(183,1)}
        96:{2,3,5,7}:{(68,1),(69,1),(73,1),(123,1),(127,1),(128,1)}
        97:{3,4,5}:{(70,1),(71,1),(116,1),(129,1)}
        98:{1,4,6}:{(71,1),(72,1),(126,1),(129,1)}
        99:{2,3,4,6}:{(71,1),(73,1),(127,1),(130,1),(131,1)}
       100:{1,2,5,6}:{(72,1),(73,1),(128,1),(131,1),(178,1),(206,1)}
       101:{2,4,5,6,7}:{(75,1),(132,1),(152,1)}
       102:{1,3,5,6,7}:{(74,1),(77,1),(133,1),(134,1),(136,1),(186,1)}
       103:{1,2,4,6,7}:{(74,1),(75,1),(78,1),(133,1),(134,1),(135,1),(145,1),(187,1),(188,1)}
       104:{3,4,6,7}:{(75,1),(79,1),(132,1),(134,1),(135,1),(156,1)}
       105:{1,3,5,7}:{(76,1),(80,1),(84,1),(136,1),(137,1),(146,1),(186,1)}
       106:{1,4,7}:{(77,1),(81,1),(138,1)}
       107:{3,5,7}:{(78,1),(82,1),(134,1),(138,1)}
       108:{1,4,5,7}:{(79,1),(83,1),(135,1),(139,1)}
       109:{1,4,5}:{(80,1),(81,1),(141,1)}
       110:{3,4,6}:{(81,1),(82,1),(138,1),(141,1),(143,1)}
       111:{1,3,5,6}:{(82,1),(83,1),(139,1),(142,1),(144,1),(149,1),(194,1)}
       112:{2,3,5,6}:{(82,1),(140,1),(143,1),(144,1),(150,1),(193,1),(195,1),(208,1)}
       113:{1,2,5,6}:{(84,1),(92,1),(136,1),(145,1),(199,1),(208,1)}
       114:{1,2,4,5,7}:{(84,1),(85,1),(86,1),(93,1),(137,1),(145,1),(146,1),(157,1),(190,1),(196,1)}
       115:{3,4,7}:{(85,1),(87,1),(146,1)}
       116:{3,5}:{(86,1),(87,1)}
       117:{1,3,4,6}:{(87,1),(98,1),(147,1),(149,1),(151,1),(160,1),(194,1),(200,1)}
       118:{2,3,4,6}:{(87,1),(143,1),(148,1),(150,1),(151,1),(193,1),(195,1),(209,1)}
       119:{2,5,6,7}:{(88,1),(91,1),(208,1)}
       120:{2,4,5,7}:{(89,1),(152,1),(153,1)}
       121:{3,4,6,7}:{(89,1),(90,1),(94,1),(153,1),(154,1),(156,1)}
       122:{1,3,6,7}:{(90,1),(95,1),(154,1),(155,1),(194,1)}
       123:{2,3,6,7}:{(90,1),(91,1),(96,1),(155,1),(195,1)}
       124:{2,4,6}:{(92,1),(93,1),(156,1)}
       125:{3,4,5,7}:{(93,1),(94,1),(97,1),(146,1),(153,1),(156,1),(157,1)}
       126:{1,4,7}:{(94,1),(95,1),(98,1)}
       127:{2,3,4,7}:{(94,1),(96,1),(99,1),(158,1)}
       128:{1,2,5,7}:{(95,1),(96,1),(100,1),(155,1),(158,1)}
       129:{1,4,5}:{(97,1),(98,1),(149,1)}
       130:{2,3,4,5}:{(97,1),(99,1),(150,1),(159,1),(209,1)}
       131:{1,2,4,6}:{(98,1),(99,1),(100,1),(158,1),(159,1),(160,1)}
       132:{3,5,6,7}:{(101,1),(104,1),(161,1),(180,1)}
       133:{1,4,6,7}:{(102,1),(106,1),(162,1),(163,1),(166,1)}
       134:{3,6,7}:{(103,1),(107,1),(174,1)}
       135:{1,4,6,7}:{(104,1),(108,1),(161,1),(164,1),(182,1)}
       136:{1,3,5,6}:{(105,1),(113,1),(166,1),(174,1),(201,1)}
       137:{1,4,5,7}:{(105,1),(106,1),(109,1),(166,1),(167,1)}
       138:{3,4,7}:{(106,1),(107,1),(110,1),(169,1)}
       139:{1,3,5,7}:{(107,1),(108,1),(111,1),(164,1),(168,1),(170,1)}
       140:{2,3,5,7}:{(107,1),(112,1),(165,1),(169,1),(170,1),(202,1),(204,1)}
       141:{3,4,5}:{(109,1),(110,1),(116,1),(172,1)}
       142:{1,3,4,6}:{(110,1),(111,1),(168,1),(171,1),(173,1)}
       143:{2,4,6}:{(110,1),(112,1),(169,1),(172,1)}
       144:{1,2,5,6}:{(111,1),(112,1),(170,1),(173,1),(178,1),(206,1)}
       145:{1,2,4,6}:{(113,1),(114,1),(124,1),(166,1),(174,1),(182,1),(203,1),(206,1)}
       146:{3,5,7}:{(114,1),(115,1),(116,1),(174,1)}
       147:{1,3,4,7}:{(115,1),(117,1),(126,1),(175,1),(177,1),(183,1)}
       148:{2,3,4,7}:{(115,1),(118,1),(169,1),(176,1),(177,1),(204,1)}
       149:{1,3,5}:{(116,1),(117,1),(129,1),(178,1)}
       150:{2,3,5}:{(116,1),(118,1),(172,1),(178,1)}
       151:{1,2,4,6}:{(117,1),(118,1),(177,1),(178,1),(179,1),(206,1),(207,1)}
       152:{2,4,5,6}:{(120,1),(124,1),(180,1)}
       153:{3,5,7}:{(120,1),(121,1),(180,1),(181,1)}
       154:{1,4,6,7}:{(121,1),(122,1),(126,1),(181,1),(182,1)}
       155:{1,2,6,7}:{(122,1),(123,1),(128,1),(206,1)}
       156:{3,4,6}:{(124,1),(125,1),(174,1),(180,1),(182,1)}
       157:{1,4,5,7}:{(125,1),(126,1),(129,1),(175,1),(181,1),(182,1)}
       158:{1,2,4,7}:{(126,1),(127,1),(128,1),(131,1),(183,1)}
       159:{1,2,4,5}:{(129,1),(130,1),(131,1),(178,1),(184,1),(207,1)}
       160:{1,3,6}:{(131,1),(183,1),(184,1)}
       161:{1,5,6,7}:{(132,1),(135,1),(199,1)}
       162:{1,4,5,7}:{(133,1),(185,1),(186,1)}
       163:{3,4,6,7}:{(133,1),(134,1),(138,1),(186,1),(187,1),(189,1)}
       164:{1,3,6,7}:{(134,1),(135,1),(139,1),(188,1),(194,1)}
       165:{2,3,6,7}:{(134,1),(140,1),(187,1),(188,1),(195,1)}
       166:{1,4,6}:{(136,1),(137,1),(189,1)}
       167:{3,4,5,7}:{(137,1),(138,1),(141,1),(146,1),(186,1),(189,1),(190,1)}
       168:{1,3,4,7}:{(138,1),(139,1),(142,1),(191,1)}
       169:{2,4,7}:{(138,1),(140,1),(143,1)}
       170:{1,2,5,7}:{(139,1),(140,1),(144,1),(188,1),(191,1)}
       171:{1,3,4,5}:{(141,1),(142,1),(149,1),(192,1),(200,1)}
       172:{2,4,5}:{(141,1),(143,1),(150,1)}
       173:{1,2,4,6}:{(142,1),(143,1),(144,1),(191,1),(192,1),(193,1)}
       174:{3,6}:{(145,1),(146,1)}
       175:{1,3,5,7}:{(146,1),(147,1),(149,1),(157,1),(194,1),(196,1)}
       176:{2,3,5,7}:{(146,1),(148,1),(150,1),(190,1),(195,1),(196,1)}
       177:{1,2,4,7}:{(147,1),(148,1),(151,1),(196,1),(197,1)}
       178:{1,2,5}:{(149,1),(150,1),(151,1)}
       179:{1,2,3,6}:{(151,1),(160,1),(193,1),(197,1),(198,1)}
       180:{3,5,6}:{(152,1),(153,1),(156,1),(199,1)}
       181:{1,5,7}:{(153,1),(154,1),(199,1)}
       182:{1,4,6}:{(156,1),(157,1),(194,1),(199,1)}
       183:{1,3,7}:{(158,1),(160,1)}
       184:{1,3,5}:{(159,1),(160,1),(200,1)}
       185:{1,4,5,6}:{(162,1),(166,1),(201,1)}
       186:{3,5,7}:{(162,1),(163,1),(201,1),(202,1)}
       187:{2,4,6,7}:{(163,1),(165,1),(169,1),(202,1),(203,1)}
       188:{1,2,6,7}:{(164,1),(165,1),(170,1),(206,1)}
       189:{3,4,6}:{(166,1),(167,1),(174,1),(201,1),(203,1)}
       190:{2,4,5,7}:{(167,1),(169,1),(172,1),(176,1),(202,1),(203,1)}
       191:{1,2,4,7}:{(168,1),(169,1),(170,1),(173,1),(204,1)}
       192:{1,2,4,5}:{(171,1),(172,1),(173,1),(178,1),(205,1),(207,1)}
       193:{2,3,6}:{(173,1),(204,1),(205,1)}
       194:{1,3,6}:{(174,1),(175,1),(182,1),(206,1)}
       195:{2,3,6}:{(174,1),(176,1),(203,1),(206,1)}
       196:{1,2,5,7}:{(175,1),(176,1),(177,1),(178,1),(206,1)}
       197:{1,2,3,7}:{(177,1),(179,1),(183,1),(204,1)}
       198:{1,2,3,5}:{(178,1),(179,1),(184,1),(205,1),(207,1)}
       199:{1,5,6}:{(180,1),(181,1),(182,1)}
       200:{1,3,4}:{(184,1),(207,1)}
       201:{3,5,6}:{(185,1),(186,1),(189,1),(208,1)}
       202:{2,5,7}:{(186,1),(187,1),(208,1)}
       203:{2,4,6}:{(189,1),(190,1),(195,1),(208,1)}
       204:{2,3,7}:{(191,1),(193,1)}
       205:{2,3,5}:{(192,1),(193,1),(209,1)}
       206:{1,2,6}:{(194,1),(195,1),(196,1)}
       207:{1,2,4}:{(198,1),(200,1),(209,1)}
       208:{2,5,6}:{(201,1),(202,1),(203,1)}
       209:{2,3,4}:{(205,1),(207,1)}

1481 :   0:{1,3,4,5}:{(1,1),(2,1),(47,1),(111,1),(130,1)}
         1:{1,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(95,1)}
         2:{1,2,4,5}:{(0,1),(7,1),(8,1),(28,1),(87,1),(98,1)}
         3:{2,3,4,5}:{(9,1),(10,1),(19,1),(66,1),(171,1)}
         4:{3,4,5,6}:{(12,1),(13,1),(14,1),(61,1),(171,1),(214,1),(222,1)}
         5:{1,3,5,6}:{(1,1),(13,1),(15,1),(16,1),(61,1),(111,1),(174,1)}
         6:{1,3,4,7}:{(1,1),(15,1),(17,1),(129,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(18,1),(64,1)}
         8:{2,3,5}:{(2,1),(18,1),(19,1)}
         9:{2,3,4,6}:{(3,1),(21,1),(22,1),(23,1),(141,1)}
        10:{1,2,4,5}:{(3,1),(23,1),(24,1),(28,1),(87,1),(144,1)}
        11:{1,2,3,5}:{(8,1),(24,1),(27,1),(28,1),(87,1)}
        12:{3,4,5,7}:{(4,1),(31,1),(32,1),(33,1),(94,1),(208,1)}
        13:{1,4,5,6}:{(4,1),(5,1),(32,1),(144,1),(198,1)}
        14:{2,4,5,6}:{(4,1),(29,1),(33,1),(193,1),(224,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(32,1),(35,1),(36,1),(94,1)}
        16:{1,2,5,6}:{(5,1),(7,1),(36,1),(37,1),(87,1),(156,1)}
        17:{1,2,4,7}:{(6,1),(7,1),(36,1),(38,1),(97,1)}
        18:{2,3,6}:{(7,1),(8,1),(38,1)}
        19:{2,3,4}:{(8,1),(28,1)}
        20:{3,4,5,6}:{(40,1),(41,1),(42,1),(106,1),(130,1),(189,1),(230,1)}
        21:{2,3,5,6}:{(9,1),(42,1),(43,1),(44,1),(66,1),(106,1),(133,1)}
        22:{2,3,4,7}:{(9,1),(43,1),(45,1),(170,1)}
        23:{1,2,4,6}:{(9,1),(10,1),(44,1),(45,1),(46,1),(109,1)}
        24:{1,3,5}:{(10,1),(46,1),(47,1)}
        25:{2,3,4,5}:{(48,1),(49,1),(118,1),(130,1),(180,1)}
        26:{1,3,4,5}:{(50,1),(51,1),(115,1),(171,1),(178,1)}
        27:{1,2,3,6}:{(11,1),(18,1),(46,1),(53,1),(54,1)}
        28:{1,2,4}:{(11,1),(19,1),(47,1)}
        29:{2,3,5,6}:{(14,1),(48,1),(55,1),(56,1),(61,1),(180,1),(218,1)}
        30:{4,5,6,7}:{(57,1),(187,1),(230,1)}
        31:{3,4,6,7}:{(12,1),(57,1),(58,1),(59,1),(128,1),(187,1),(214,1)}
        32:{1,4,5,7}:{(12,1),(13,1),(15,1),(58,1)}
        33:{2,4,5,7}:{(12,1),(14,1),(55,1),(59,1)}
        34:{1,2,4,5,6}:{(13,1),(14,1),(16,1),(56,1),(60,1),(61,1),(64,1),(122,1),(126,1),(184,1),(190,1),(221,1),(222,1)}
        35:{1,3,6,7}:{(15,1),(58,1),(62,1),(128,1),(174,1)}
        36:{1,2,5,7}:{(15,1),(16,1),(17,1),(62,1),(63,1)}
        37:{2,3,5,6}:{(16,1),(18,1),(61,1),(63,1),(64,1),(66,1),(133,1),(190,1)}
        38:{2,3,7}:{(17,1),(18,1)}
        39:{2,3,4,6}:{(18,1),(19,1),(54,1),(64,1),(65,1),(66,1),(119,1),(133,1)}
        40:{3,4,5,7}:{(20,1),(69,1),(70,1),(71,1),(140,1),(225,1)}
        41:{1,4,5,6}:{(20,1),(67,1),(70,1),(159,1),(207,1)}
        42:{2,4,5,6}:{(20,1),(21,1),(71,1),(98,1),(164,1)}
        43:{2,3,5,7}:{(21,1),(22,1),(71,1),(73,1),(74,1),(140,1)}
        44:{1,2,5,6}:{(21,1),(23,1),(74,1),(75,1),(87,1),(156,1)}
        45:{1,2,4,7}:{(22,1),(23,1),(74,1),(76,1),(143,1)}
        46:{1,3,6}:{(23,1),(24,1),(76,1)}
        47:{1,3,4}:{(24,1),(28,1)}
        48:{2,3,4,6}:{(25,1),(29,1),(78,1),(79,1),(95,1)}
        49:{1,2,4,5}:{(25,1),(79,1),(80,1),(147,1),(159,1),(200,1)}
        50:{1,3,4,6}:{(26,1),(67,1),(81,1),(82,1),(141,1)}
        51:{1,2,4,5}:{(26,1),(82,1),(83,1),(147,1),(193,1),(200,1)}
        52:{1,2,3,5,6}:{(27,1),(37,1),(75,1),(84,1),(85,1),(87,1),(90,1),(136,1),(146,1),(153,1),(156,1),(200,1),(204,1),(205,1),(227,1)}
        53:{1,2,3,7}:{(27,1),(38,1),(76,1),(86,1)}
        54:{1,2,4,6}:{(27,1),(28,1),(39,1),(77,1),(86,1),(87,1),(156,1)}
        55:{2,3,5,7}:{(29,1),(33,1),(78,1),(88,1),(89,1),(94,1)}
        56:{1,2,5,6}:{(29,1),(79,1),(89,1),(90,1),(200,1),(227,1)}
        57:{3,5,6,7}:{(30,1),(31,1),(91,1),(92,1),(226,1)}
        58:{1,4,6,7}:{(31,1),(32,1),(35,1),(91,1),(198,1)}
        59:{2,4,6,7}:{(31,1),(33,1),(88,1),(92,1),(224,1)}
        60:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(36,1),(89,1),(93,1),(94,1),(97,1),(158,1),(163,1),(206,1),(208,1)}
        61:{3,5,6}:{(34,1),(94,1),(95,1),(153,1),(204,1)}
        62:{1,2,6,7}:{(35,1),(36,1),(96,1),(156,1)}
        63:{2,3,5,7}:{(36,1),(37,1),(38,1),(94,1),(96,1),(97,1),(163,1)}
        64:{2,4,6}:{(37,1),(95,1),(97,1),(98,1)}
        65:{2,3,4,7}:{(38,1),(39,1),(86,1),(97,1),(99,1),(152,1)}
        66:{2,3,5}:{(39,1),(87,1),(98,1),(153,1)}
        67:{1,3,5,6}:{(41,1),(50,1),(100,1),(101,1),(106,1),(178,1),(217,1)}
        68:{4,5,6,7}:{(102,1),(212,1),(222,1)}
        69:{3,4,6,7}:{(40,1),(102,1),(103,1),(104,1),(169,1),(189,1),(212,1)}
        70:{1,4,5,7}:{(40,1),(41,1),(100,1),(103,1)}
        71:{2,4,5,7}:{(40,1),(42,1),(43,1),(104,1)}
        72:{1,2,4,5,6}:{(41,1),(42,1),(44,1),(101,1),(105,1),(106,1),(109,1),(122,1),(167,1),(184,1),(215,1),(229,1),(230,1)}
        73:{2,3,6,7}:{(43,1),(104,1),(107,1),(133,1),(169,1)}
        74:{1,2,5,7}:{(43,1),(44,1),(45,1),(107,1),(108,1)}
        75:{1,3,5,6}:{(44,1),(46,1),(106,1),(108,1),(109,1),(111,1),(174,1),(215,1)}
        76:{1,3,7}:{(45,1),(46,1)}
        77:{1,3,4,6}:{(46,1),(47,1),(54,1),(109,1),(110,1),(111,1),(119,1),(174,1)}
        78:{2,3,4,7}:{(48,1),(55,1),(113,1),(129,1)}
        79:{1,2,4,6}:{(48,1),(49,1),(56,1),(113,1),(114,1),(126,1)}
        80:{1,3,5}:{(49,1),(114,1),(115,1)}
        81:{1,3,4,7}:{(50,1),(100,1),(116,1),(170,1)}
        82:{1,2,4,6}:{(50,1),(51,1),(101,1),(116,1),(117,1),(167,1)}
        83:{2,3,5}:{(51,1),(117,1),(118,1)}
        84:{1,2,3,5,7}:{(52,1),(53,1),(63,1),(108,1),(120,1),(121,1),(123,1),(125,1),(166,1),(175,1),(182,1),(183,1),(216,1)}
        85:{1,2,4,6}:{(52,1),(64,1),(109,1),(119,1),(121,1),(122,1),(126,1),(167,1)}
        86:{1,2,4,7}:{(53,1),(54,1),(65,1),(110,1),(123,1)}
        87:{1,2,5}:{(54,1),(66,1),(111,1)}
        88:{2,3,6,7}:{(55,1),(59,1),(124,1),(128,1),(218,1)}
        89:{1,2,5,7}:{(55,1),(56,1),(113,1),(124,1),(125,1)}
        90:{1,3,5,6}:{(56,1),(61,1),(114,1),(125,1),(126,1),(178,1),(217,1),(221,1)}
        91:{1,5,6,7}:{(57,1),(58,1),(215,1)}
        92:{2,5,6,7}:{(57,1),(59,1),(229,1)}
        93:{1,2,4,6,7}:{(58,1),(59,1),(60,1),(62,1),(124,1),(127,1),(128,1),(131,1),(184,1),(185,1),(187,1)}
        94:{3,5,7}:{(60,1),(61,1),(128,1),(129,1)}
        95:{3,4,6}:{(61,1),(64,1),(126,1),(129,1),(130,1)}
        96:{2,3,6,7}:{(62,1),(63,1),(128,1),(131,1),(133,1)}
        97:{2,4,7}:{(63,1),(64,1),(129,1)}
        98:{2,4,5}:{(64,1),(66,1),(130,1)}
        99:{2,3,5,7}:{(65,1),(66,1),(123,1),(132,1),(133,1),(182,1)}
       100:{1,3,5,7}:{(67,1),(70,1),(81,1),(134,1),(135,1),(140,1)}
       101:{1,2,5,6}:{(67,1),(82,1),(135,1),(136,1),(200,1),(227,1)}
       102:{3,5,6,7}:{(68,1),(69,1),(137,1),(138,1),(209,1)}
       103:{1,4,6,7}:{(69,1),(70,1),(134,1),(137,1),(207,1)}
       104:{2,4,6,7}:{(69,1),(71,1),(73,1),(138,1),(164,1)}
       105:{1,2,4,5,7}:{(70,1),(71,1),(72,1),(74,1),(135,1),(139,1),(140,1),(143,1),(192,1),(197,1),(223,1),(225,1)}
       106:{3,5,6}:{(72,1),(140,1),(141,1),(153,1),(204,1)}
       107:{1,2,6,7}:{(73,1),(74,1),(142,1),(156,1)}
       108:{1,3,5,7}:{(74,1),(75,1),(76,1),(140,1),(142,1),(143,1),(197,1)}
       109:{1,4,6}:{(75,1),(141,1),(143,1),(144,1)}
       110:{1,3,4,7}:{(76,1),(77,1),(86,1),(143,1),(145,1),(152,1)}
       111:{1,3,5}:{(77,1),(87,1),(144,1),(153,1)}
       112:{1,2,3,5}:{(80,1),(83,1),(146,1),(147,1),(200,1)}
       113:{1,2,4,7}:{(78,1),(79,1),(89,1),(148,1),(158,1)}
       114:{1,3,6}:{(79,1),(80,1),(148,1)}
       115:{1,3,4}:{(80,1),(147,1)}
       116:{1,2,4,7}:{(81,1),(82,1),(135,1),(150,1),(192,1)}
       117:{2,3,6}:{(82,1),(83,1),(150,1)}
       118:{2,3,4}:{(83,1),(147,1)}
       119:{3,4,6}:{(85,1),(152,1),(153,1),(204,1)}
       120:{1,2,3,6,7}:{(84,1),(96,1),(142,1),(154,1),(156,1),(157,1),(191,1),(204,1),(227,1)}
       121:{1,2,4,7}:{(84,1),(85,1),(97,1),(143,1),(152,1),(158,1),(192,1)}
       122:{1,2,4,5}:{(85,1),(87,1),(98,1),(144,1),(153,1),(159,1),(193,1),(200,1)}
       123:{1,2,5,7}:{(86,1),(87,1),(99,1),(145,1),(156,1)}
       124:{1,2,6,7}:{(88,1),(89,1),(157,1),(227,1)}
       125:{1,3,5,7}:{(89,1),(90,1),(94,1),(148,1),(157,1),(158,1),(206,1)}
       126:{1,4,6}:{(90,1),(95,1),(158,1),(159,1)}
       127:{1,2,5,6,7}:{(91,1),(92,1),(93,1),(160,1),(163,1),(205,1),(206,1)}
       128:{3,6,7}:{(93,1),(94,1),(204,1)}
       129:{3,4,7}:{(94,1),(95,1),(97,1),(158,1)}
       130:{3,4,5}:{(95,1),(98,1),(153,1),(159,1)}
       131:{2,4,6,7}:{(96,1),(97,1),(161,1),(163,1),(164,1)}
       132:{2,4,5,7}:{(97,1),(98,1),(99,1),(162,1),(163,1),(164,1)}
       133:{2,3,6}:{(99,1),(156,1),(164,1),(204,1)}
       134:{1,3,6,7}:{(100,1),(103,1),(165,1),(169,1),(217,1)}
       135:{1,2,5,7}:{(100,1),(101,1),(116,1),(165,1),(166,1)}
       136:{2,3,5,6}:{(101,1),(106,1),(117,1),(166,1),(167,1),(180,1),(218,1),(229,1)}
       137:{1,5,6,7}:{(102,1),(103,1),(221,1)}
       138:{2,5,6,7}:{(102,1),(104,1),(190,1)}
       139:{1,2,4,6,7}:{(103,1),(104,1),(105,1),(107,1),(165,1),(168,1),(169,1),(172,1),(184,1),(210,1),(212,1)}
       140:{3,5,7}:{(105,1),(106,1),(169,1),(170,1)}
       141:{3,4,6}:{(106,1),(109,1),(167,1),(170,1),(171,1)}
       142:{1,3,6,7}:{(107,1),(108,1),(169,1),(172,1),(174,1)}
       143:{1,4,7}:{(108,1),(109,1),(170,1)}
       144:{1,4,5}:{(109,1),(111,1),(171,1)}
       145:{1,3,5,7}:{(110,1),(111,1),(123,1),(173,1),(174,1),(182,1)}
       146:{1,2,3,6}:{(112,1),(114,1),(117,1),(175,1),(176,1)}
       147:{1,2,4}:{(112,1),(115,1),(118,1)}
       148:{1,3,7}:{(113,1),(114,1)}
       149:{1,3,4,6}:{(114,1),(115,1),(119,1),(126,1),(176,1),(177,1),(178,1),(217,1)}
       150:{2,3,7}:{(116,1),(117,1)}
       151:{2,3,4,6}:{(117,1),(118,1),(119,1),(167,1),(176,1),(179,1),(180,1),(218,1)}
       152:{3,4,7}:{(119,1),(121,1),(182,1)}
       153:{3,5}:{(119,1),(122,1)}
       154:{1,2,4,6,7}:{(120,1),(121,1),(131,1),(172,1),(181,1),(183,1),(184,1),(185,1),(210,1)}
       155:{1,2,4,5,7}:{(121,1),(122,1),(123,1),(132,1),(173,1),(182,1),(183,1),(184,1),(186,1),(211,1),(216,1),(219,1)}
       156:{1,2,6}:{(123,1),(133,1),(174,1)}
       157:{1,3,6,7}:{(124,1),(125,1),(128,1),(185,1),(217,1)}
       158:{1,4,7}:{(125,1),(126,1),(129,1)}
       159:{1,4,5}:{(126,1),(130,1),(178,1)}
       160:{3,5,6,7}:{(127,1),(128,1),(187,1),(188,1),(220,1)}
       161:{3,4,6,7}:{(128,1),(129,1),(131,1),(185,1),(187,1),(188,1),(189,1)}
       162:{3,4,5,7}:{(129,1),(130,1),(132,1),(182,1),(186,1),(188,1),(189,1),(219,1)}
       163:{2,5,7}:{(131,1),(188,1),(190,1)}
       164:{2,4,6}:{(132,1),(133,1),(189,1),(190,1)}
       165:{1,2,6,7}:{(134,1),(135,1),(191,1),(227,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(140,1),(150,1),(191,1),(192,1),(223,1)}
       167:{2,4,6}:{(136,1),(141,1),(192,1),(193,1)}
       168:{1,2,5,6,7}:{(137,1),(138,1),(139,1),(194,1),(197,1),(205,1),(223,1)}
       169:{3,6,7}:{(139,1),(140,1),(204,1)}
       170:{3,4,7}:{(140,1),(141,1),(143,1),(192,1)}
       171:{3,4,5}:{(141,1),(144,1),(153,1),(193,1)}
       172:{1,4,6,7}:{(142,1),(143,1),(195,1),(197,1),(198,1)}
       173:{1,4,5,7}:{(143,1),(144,1),(145,1),(196,1),(197,1),(198,1)}
       174:{1,3,6}:{(145,1),(156,1),(198,1),(204,1)}
       175:{1,2,3,7}:{(146,1),(148,1),(150,1),(199,1)}
       176:{1,2,4,6}:{(146,1),(147,1),(149,1),(151,1),(199,1),(200,1),(227,1)}
       177:{1,3,4,7}:{(148,1),(149,1),(152,1),(158,1),(199,1),(201,1)}
       178:{1,3,5}:{(149,1),(153,1),(159,1),(200,1)}
       179:{2,3,4,7}:{(150,1),(151,1),(152,1),(192,1),(199,1),(202,1)}
       180:{2,3,5}:{(151,1),(153,1),(193,1),(200,1)}
       181:{3,4,6,7}:{(152,1),(154,1),(203,1),(204,1),(228,1)}
       182:{3,5,7}:{(152,1),(153,1),(155,1),(204,1)}
       183:{1,2,5,7}:{(154,1),(163,1),(197,1),(203,1),(205,1),(206,1),(223,1)}
       184:{1,2,4,6}:{(155,1),(156,1),(164,1),(198,1),(204,1),(205,1),(207,1),(224,1),(227,1),(228,1)}
       185:{1,4,6,7}:{(157,1),(158,1),(161,1),(206,1),(207,1)}
       186:{1,4,5,7}:{(158,1),(159,1),(162,1),(201,1),(206,1),(207,1)}
       187:{4,6,7}:{(160,1),(208,1),(228,1)}
       188:{3,5,7}:{(161,1),(163,1),(206,1),(208,1),(209,1)}
       189:{3,4,6}:{(162,1),(164,1),(204,1),(207,1),(209,1),(228,1)}
       190:{2,5,6}:{(163,1),(164,1),(209,1)}
       191:{2,3,6,7}:{(165,1),(166,1),(169,1),(210,1),(218,1)}
       192:{2,4,7}:{(166,1),(167,1),(170,1)}
       193:{2,4,5}:{(167,1),(171,1),(180,1)}
       194:{3,5,6,7}:{(168,1),(169,1),(212,1),(213,1),(220,1)}
       195:{3,4,6,7}:{(169,1),(170,1),(172,1),(210,1),(212,1),(213,1),(214,1)}
       196:{3,4,5,7}:{(170,1),(171,1),(173,1),(182,1),(211,1),(213,1),(214,1),(219,1)}
       197:{1,5,7}:{(172,1),(213,1),(215,1)}
       198:{1,4,6}:{(173,1),(174,1),(214,1),(215,1)}
       199:{1,2,4,7}:{(175,1),(176,1),(177,1),(179,1),(216,1)}
       200:{1,2,5}:{(176,1),(178,1),(180,1)}
       201:{1,3,5,7}:{(177,1),(178,1),(182,1),(186,1),(216,1),(217,1)}
       202:{2,3,5,7}:{(179,1),(180,1),(182,1),(211,1),(216,1),(218,1)}
       203:{3,5,7}:{(181,1),(183,1),(219,1),(220,1)}
       204:{3,6}:{(182,1),(184,1)}
       205:{1,2,5,6}:{(183,1),(184,1),(190,1),(215,1),(220,1),(221,1),(229,1)}
       206:{1,5,7}:{(185,1),(188,1),(221,1)}
       207:{1,4,6}:{(186,1),(189,1),(217,1),(221,1)}
       208:{4,5,7}:{(187,1),(188,1),(222,1)}
       209:{3,5,6}:{(188,1),(189,1),(190,1),(221,1),(222,1)}
       210:{2,4,6,7}:{(191,1),(192,1),(195,1),(223,1),(224,1)}
       211:{2,4,5,7}:{(192,1),(193,1),(196,1),(202,1),(223,1),(224,1)}
       212:{4,6,7}:{(194,1),(225,1),(228,1)}
       213:{3,5,7}:{(195,1),(197,1),(223,1),(225,1),(226,1)}
       214:{3,4,6}:{(196,1),(198,1),(204,1),(224,1),(226,1),(228,1)}
       215:{1,5,6}:{(197,1),(198,1),(226,1)}
       216:{1,2,5,7}:{(199,1),(200,1),(201,1),(202,1),(227,1)}
       217:{1,3,6}:{(201,1),(204,1),(207,1),(227,1)}
       218:{2,3,6}:{(202,1),(204,1),(224,1),(227,1)}
       219:{4,5,7}:{(203,1),(228,1)}
       220:{3,5,6}:{(203,1),(204,1),(205,1),(228,1)}
       221:{1,5,6}:{(206,1),(207,1),(209,1)}
       222:{4,5,6}:{(208,1),(209,1),(228,1)}
       223:{2,5,7}:{(210,1),(213,1),(229,1)}
       224:{2,4,6}:{(211,1),(214,1),(218,1),(229,1)}
       225:{4,5,7}:{(212,1),(213,1),(230,1)}
       226:{3,5,6}:{(213,1),(214,1),(215,1),(229,1),(230,1)}
       227:{1,2,6}:{(216,1),(217,1),(218,1)}
       228:{4,6}:{(219,1),(220,1)}
       229:{2,5,6}:{(223,1),(224,1),(226,1)}
       230:{4,5,6}:{(225,1),(226,1),(228,1)}

1482 :   0:{1,2,4,5,6}:{(1,1),(2,1),(10,1),(11,1),(13,1),(40,1),(78,1),(79,1),(80,1),(81,1),(99,1),(103,1),(104,1)}
         1:{3,5,6}:{(0,1),(3,1),(6,1),(59,1),(90,1),(101,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(26,1),(27,1),(29,1),(66,1),(67,1),(68,1)}
         3:{3,4,6}:{(1,1),(9,1),(10,1),(11,1),(12,1),(44,1),(76,1)}
         4:{1,3,5,6}:{(1,1),(10,1),(13,1),(14,1),(37,1),(44,1),(51,1),(74,1),(79,1),(85,1),(97,1),(99,1)}
         5:{2,3,5,6}:{(1,1),(11,1),(13,1),(15,1),(18,1),(44,1),(53,1),(72,1),(80,1),(95,1),(97,1),(103,1)}
         6:{3,5,7}:{(1,1),(2,1),(12,1),(16,1)}
         7:{1,2,4,6,7}:{(2,1),(16,1),(17,1),(46,1),(47,1),(49,1),(50,1),(78,1)}
         8:{2,3,4,6}:{(11,1),(18,1),(19,1),(20,1),(44,1),(53,1),(76,1),(96,1)}
         9:{3,4,5}:{(3,1),(22,1),(23,1),(59,1),(101,1)}
        10:{1,4,6}:{(3,1),(4,1),(22,1),(26,1),(69,1),(102,1)}
        11:{2,4,6}:{(3,1),(5,1),(23,1),(27,1),(86,1),(102,1)}
        12:{3,4,7}:{(3,1),(6,1),(26,1),(27,1),(64,1)}
        13:{1,2,5,6}:{(4,1),(5,1),(25,1),(29,1),(33,1),(55,1),(71,1),(88,1)}
        14:{1,3,5,7}:{(4,1),(6,1),(26,1),(29,1),(30,1),(64,1),(66,1),(92,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(27,1),(29,1),(31,1),(64,1),(67,1),(92,1)}
        16:{3,6,7}:{(6,1),(7,1),(90,1)}
        17:{1,2,5,6,7}:{(7,1),(32,1),(66,1),(67,1),(91,1)}
        18:{2,3,5}:{(8,1),(23,1),(33,1),(59,1),(101,1)}
        19:{1,2,4,6}:{(8,1),(33,1),(35,1),(36,1),(69,1),(71,1),(93,1)}
        20:{2,3,4,7}:{(8,1),(27,1),(34,1),(36,1),(64,1),(89,1)}
        21:{1,3,4,6}:{(10,1),(37,1),(38,1),(39,1),(44,1),(74,1),(76,1),(96,1)}
        22:{1,4,5}:{(9,1),(10,1),(37,1),(99,1),(104,1)}
        23:{2,4,5}:{(9,1),(11,1),(18,1),(103,1),(104,1)}
        24:{3,4,5,7}:{(9,1),(12,1),(41,1),(42,1),(43,1),(48,1),(77,1),(98,1),(104,1)}
        25:{1,2,4,6}:{(10,1),(11,1),(13,1),(40,1),(44,1),(45,1)}
        26:{1,4,7}:{(10,1),(12,1),(14,1),(98,1)}
        27:{2,4,7}:{(11,1),(12,1),(15,1),(98,1)}
        28:{3,4,6,7}:{(12,1),(16,1),(43,1),(46,1),(47,1),(48,1),(50,1),(82,1),(96,1),(98,1)}
        29:{1,2,5,7}:{(13,1),(14,1),(15,1),(45,1),(49,1)}
        30:{1,3,6,7}:{(14,1),(16,1),(46,1),(49,1),(74,1),(82,1),(85,1)}
        31:{2,3,6,7}:{(15,1),(16,1),(47,1),(49,1),(53,1),(82,1),(95,1)}
        32:{3,5,6,7}:{(16,1),(17,1),(48,1),(50,1),(97,1)}
        33:{1,2,5}:{(18,1),(19,1),(51,1),(99,1)}
        34:{2,3,5,7}:{(18,1),(20,1),(42,1),(52,1),(53,1),(77,1)}
        35:{1,3,6}:{(19,1),(44,1),(51,1),(54,1)}
        36:{1,2,4,7}:{(19,1),(20,1),(52,1),(54,1),(84,1)}
        37:{1,3,5}:{(21,1),(22,1),(55,1),(59,1),(101,1)}
        38:{1,2,4,6}:{(21,1),(55,1),(57,1),(58,1),(86,1),(88,1),(100,1)}
        39:{1,3,4,7}:{(21,1),(26,1),(56,1),(58,1),(64,1),(89,1)}
        40:{1,2,4,5}:{(22,1),(23,1),(25,1),(33,1),(55,1),(59,1),(69,1),(86,1)}
        41:{1,4,5,7}:{(22,1),(24,1),(26,1),(56,1),(61,1),(66,1)}
        42:{2,4,5,7}:{(23,1),(24,1),(27,1),(34,1),(62,1),(67,1)}
        43:{3,4,6}:{(24,1),(61,1),(62,1),(63,1),(90,1),(102,1)}
        44:{3,6}:{(25,1),(59,1),(64,1)}
        45:{1,2,4,7}:{(25,1),(26,1),(27,1),(29,1),(64,1)}
        46:{1,4,6,7}:{(26,1),(28,1),(30,1),(61,1),(66,1),(93,1)}
        47:{2,4,6,7}:{(27,1),(28,1),(31,1),(62,1),(67,1),(100,1)}
        48:{3,5,7}:{(28,1),(63,1),(66,1),(67,1),(68,1),(101,1)}
        49:{1,2,6,7}:{(29,1),(30,1),(31,1),(71,1),(88,1)}
        50:{4,6,7}:{(32,1),(68,1),(102,1)}
        51:{1,3,5}:{(33,1),(35,1),(59,1),(69,1)}
        52:{1,2,5,7}:{(33,1),(34,1),(36,1),(70,1),(71,1)}
        53:{2,3,6}:{(34,1),(62,1),(71,1),(90,1)}
        54:{1,3,7}:{(35,1),(36,1),(64,1)}
        55:{1,2,5}:{(37,1),(38,1),(72,1),(103,1)}
        56:{1,3,5,7}:{(37,1),(39,1),(41,1),(73,1),(74,1),(77,1)}
        57:{2,3,6}:{(38,1),(44,1),(72,1),(75,1)}
        58:{1,2,4,7}:{(38,1),(39,1),(73,1),(75,1),(94,1)}
        59:{3,5}:{(40,1),(44,1),(76,1)}
        60:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(45,1),(52,1),(73,1),(77,1),(78,1),(83,1),(84,1),(94,1),(98,1),(99,1),(103,1),(104,1)}
        61:{1,4,6}:{(41,1),(43,1),(74,1),(79,1)}
        62:{2,4,6}:{(42,1),(43,1),(53,1),(80,1)}
        63:{3,5,6}:{(43,1),(48,1),(79,1),(80,1),(81,1)}
        64:{3,7}:{(44,1),(45,1)}
        65:{1,2,4,6,7}:{(45,1),(46,1),(47,1),(49,1),(78,1),(82,1),(83,1),(98,1)}
        66:{1,5,7}:{(46,1),(48,1),(79,1),(99,1)}
        67:{2,5,7}:{(47,1),(48,1),(80,1),(103,1)}
        68:{4,5,7}:{(48,1),(50,1),(81,1),(98,1),(104,1)}
        69:{1,4}:{(51,1),(76,1)}
        70:{1,3,5,7}:{(51,1),(52,1),(54,1),(77,1),(84,1),(85,1),(99,1)}
        71:{1,2,6}:{(52,1),(53,1),(85,1)}
        72:{2,3,5}:{(55,1),(57,1),(59,1),(86,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(58,1),(87,1),(88,1)}
        74:{1,3,6}:{(56,1),(61,1),(88,1),(90,1)}
        75:{2,3,7}:{(57,1),(58,1),(64,1)}
        76:{3,4}:{(59,1),(69,1),(86,1)}
        77:{3,5,7}:{(59,1),(60,1),(64,1),(89,1),(90,1),(101,1)}
        78:{1,2,4,6}:{(60,1),(61,1),(62,1),(71,1),(88,1),(90,1),(91,1),(93,1),(100,1),(102,1)}
        79:{1,5,6}:{(61,1),(63,1),(66,1)}
        80:{2,5,6}:{(62,1),(63,1),(67,1)}
        81:{4,5,6}:{(63,1),(68,1),(102,1)}
        82:{3,6,7}:{(64,1),(65,1),(90,1),(92,1)}
        83:{1,2,5,7}:{(65,1),(66,1),(67,1),(91,1),(92,1)}
        84:{1,4,7}:{(69,1),(70,1),(89,1),(93,1)}
        85:{1,3,6}:{(70,1),(71,1),(90,1),(93,1)}
        86:{2,4}:{(72,1),(76,1)}
        87:{2,3,5,7}:{(72,1),(73,1),(75,1),(77,1),(94,1),(95,1),(103,1)}
        88:{1,2,6}:{(73,1),(74,1),(95,1)}
        89:{3,4,7}:{(76,1),(77,1),(84,1),(94,1),(96,1),(98,1)}
        90:{3,6}:{(77,1),(78,1)}
        91:{1,2,5,6}:{(78,1),(79,1),(80,1),(83,1),(97,1),(99,1),(103,1)}
        92:{3,5,7}:{(82,1),(83,1),(97,1),(98,1)}
        93:{1,4,6}:{(84,1),(85,1),(96,1),(99,1)}
        94:{2,4,7}:{(86,1),(87,1),(89,1),(100,1)}
        95:{2,3,6}:{(87,1),(88,1),(90,1),(100,1)}
        96:{3,4,6}:{(89,1),(90,1),(93,1),(100,1),(101,1),(102,1)}
        97:{3,5,6}:{(90,1),(91,1),(92,1),(101,1),(102,1)}
        98:{4,7}:{(92,1),(102,1)}
        99:{1,5}:{(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(95,1),(96,1),(103,1)}
       101:{3,5}:{(96,1),(99,1),(103,1),(104,1)}
       102:{4,6}:{(97,1),(98,1),(104,1)}
       103:{2,5}:{(100,1),(101,1)}
       104:{4,5}:{(101,1),(102,1)}

1483 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(28,1),(165,1),(176,1),(208,1)}
         1:{1,3,4,5}:{(5,1),(6,1),(66,1),(71,1),(121,1)}
         2:{3,4,5,7}:{(0,1),(11,1),(12,1),(13,1),(45,1),(147,1)}
         3:{1,4,5,6}:{(0,1),(8,1),(12,1),(150,1),(200,1)}
         4:{2,4,5,6}:{(0,1),(9,1),(13,1),(183,1),(216,1)}
         5:{1,3,4,6}:{(1,1),(8,1),(15,1),(16,1),(46,1)}
         6:{1,2,4,5}:{(1,1),(16,1),(17,1),(50,1),(83,1),(93,1)}
         7:{2,3,4,5}:{(18,1),(19,1),(66,1),(103,1),(158,1)}
         8:{1,3,5,6}:{(3,1),(5,1),(20,1),(21,1),(28,1),(121,1),(180,1)}
         9:{2,3,5,6}:{(4,1),(18,1),(22,1),(23,1),(28,1),(158,1),(205,1)}
        10:{4,5,6,7}:{(24,1),(116,1),(226,1)}
        11:{3,4,6,7}:{(2,1),(24,1),(25,1),(26,1),(64,1),(116,1),(208,1)}
        12:{1,4,5,7}:{(2,1),(3,1),(20,1),(25,1)}
        13:{2,4,5,7}:{(2,1),(4,1),(22,1),(26,1)}
        14:{1,2,4,5,6}:{(3,1),(4,1),(21,1),(23,1),(27,1),(28,1),(59,1),(62,1),(109,1),(170,1),(172,1),(174,1),(176,1)}
        15:{1,3,4,7}:{(5,1),(20,1),(29,1),(65,1)}
        16:{1,2,4,6}:{(5,1),(6,1),(21,1),(29,1),(30,1),(59,1)}
        17:{2,3,5}:{(6,1),(30,1),(32,1)}
        18:{2,3,4,6}:{(7,1),(9,1),(33,1),(34,1),(46,1)}
        19:{1,2,4,5}:{(7,1),(34,1),(35,1),(77,1),(86,1),(130,1)}
        20:{1,3,5,7}:{(8,1),(12,1),(15,1),(36,1),(37,1),(45,1)}
        21:{1,2,5,6}:{(8,1),(16,1),(37,1),(38,1),(93,1),(153,1)}
        22:{2,3,5,7}:{(9,1),(13,1),(33,1),(39,1),(40,1),(45,1)}
        23:{1,2,5,6}:{(9,1),(34,1),(40,1),(41,1),(130,1),(186,1)}
        24:{3,5,6,7}:{(10,1),(11,1),(42,1),(43,1),(219,1)}
        25:{1,4,6,7}:{(11,1),(12,1),(36,1),(42,1),(200,1)}
        26:{2,4,6,7}:{(11,1),(13,1),(39,1),(43,1),(216,1)}
        27:{1,2,4,5,7}:{(12,1),(13,1),(14,1),(37,1),(40,1),(44,1),(45,1),(82,1),(85,1),(141,1),(144,1),(147,1)}
        28:{3,5,6}:{(14,1),(45,1),(46,1),(137,1),(193,1)}
        29:{1,2,4,7}:{(15,1),(16,1),(37,1),(48,1),(82,1)}
        30:{2,3,6}:{(16,1),(17,1),(48,1)}
        31:{1,2,3,5}:{(17,1),(47,1),(50,1),(93,1),(96,1)}
        32:{2,3,4}:{(17,1),(50,1)}
        33:{2,3,4,7}:{(18,1),(22,1),(52,1),(65,1)}
        34:{1,2,4,6}:{(18,1),(19,1),(23,1),(52,1),(53,1),(62,1)}
        35:{1,3,5}:{(19,1),(53,1),(55,1)}
        36:{1,3,6,7}:{(20,1),(25,1),(57,1),(64,1),(180,1)}
        37:{1,2,5,7}:{(20,1),(21,1),(29,1),(57,1),(58,1)}
        38:{2,3,5,6}:{(21,1),(28,1),(30,1),(58,1),(59,1),(70,1),(124,1),(172,1)}
        39:{2,3,6,7}:{(22,1),(26,1),(60,1),(64,1),(205,1)}
        40:{1,2,5,7}:{(22,1),(23,1),(52,1),(60,1),(61,1)}
        41:{1,3,5,6}:{(23,1),(28,1),(53,1),(61,1),(62,1),(102,1),(161,1),(174,1)}
        42:{1,5,6,7}:{(24,1),(25,1),(214,1)}
        43:{2,5,6,7}:{(24,1),(26,1),(224,1)}
        44:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(57,1),(60,1),(63,1),(64,1),(110,1),(113,1),(116,1),(170,1)}
        45:{3,5,7}:{(27,1),(28,1),(64,1),(65,1)}
        46:{3,4,6}:{(28,1),(59,1),(62,1),(65,1),(66,1)}
        47:{1,2,3,6}:{(30,1),(31,1),(67,1),(68,1),(126,1)}
        48:{2,3,7}:{(29,1),(30,1)}
        49:{2,3,4,6}:{(30,1),(32,1),(59,1),(68,1),(69,1),(70,1),(106,1),(124,1)}
        50:{1,2,4}:{(31,1),(32,1),(71,1)}
        51:{2,3,4,5}:{(32,1),(70,1),(72,1),(73,1),(165,1)}
        52:{1,2,4,7}:{(33,1),(34,1),(40,1),(75,1),(85,1)}
        53:{1,3,6}:{(34,1),(35,1),(75,1)}
        54:{1,2,3,5}:{(35,1),(74,1),(77,1),(130,1),(133,1)}
        55:{1,3,4}:{(35,1),(77,1)}
        56:{1,2,3,5,6}:{(38,1),(41,1),(47,1),(74,1),(79,1),(80,1),(93,1),(130,1),(137,1),(152,1),(153,1),(185,1),(186,1),(193,1),(195,1)}
        57:{1,2,6,7}:{(36,1),(37,1),(81,1),(153,1)}
        58:{2,3,5,7}:{(37,1),(38,1),(45,1),(48,1),(81,1),(82,1),(141,1)}
        59:{2,4,6}:{(38,1),(46,1),(82,1),(83,1)}
        60:{1,2,6,7}:{(39,1),(40,1),(84,1),(186,1)}
        61:{1,3,5,7}:{(40,1),(41,1),(45,1),(75,1),(84,1),(85,1),(144,1)}
        62:{1,4,6}:{(41,1),(46,1),(85,1),(86,1)}
        63:{1,2,5,6,7}:{(42,1),(43,1),(44,1),(87,1),(141,1),(144,1),(195,1)}
        64:{3,6,7}:{(44,1),(45,1),(193,1)}
        65:{3,4,7}:{(45,1),(46,1),(82,1),(85,1)}
        66:{3,4,5}:{(46,1),(83,1),(86,1),(137,1)}
        67:{1,2,3,7}:{(47,1),(48,1),(92,1),(156,1)}
        68:{1,2,4,6}:{(47,1),(49,1),(50,1),(91,1),(92,1),(93,1),(153,1)}
        69:{2,3,4,7}:{(48,1),(49,1),(82,1),(92,1),(94,1),(136,1)}
        70:{2,3,5}:{(49,1),(83,1),(93,1),(137,1)}
        71:{1,3,4}:{(50,1),(96,1)}
        72:{1,2,4,5}:{(50,1),(51,1),(93,1),(96,1),(97,1),(150,1)}
        73:{2,3,4,6}:{(51,1),(95,1),(97,1),(98,1),(191,1)}
        74:{1,2,3,6}:{(53,1),(54,1),(99,1),(100,1),(163,1)}
        75:{1,3,7}:{(52,1),(53,1)}
        76:{1,3,4,6}:{(53,1),(55,1),(62,1),(100,1),(101,1),(102,1),(106,1),(161,1)}
        77:{1,2,4}:{(54,1),(55,1),(103,1)}
        78:{1,3,4,5}:{(55,1),(102,1),(104,1),(105,1),(165,1)}
        79:{1,2,3,5,7}:{(56,1),(58,1),(61,1),(67,1),(99,1),(107,1),(108,1),(122,1),(159,1),(167,1),(169,1),(181,1),(206,1)}
        80:{1,2,4,6}:{(56,1),(59,1),(62,1),(106,1),(108,1),(109,1),(179,1),(204,1)}
        81:{2,3,6,7}:{(57,1),(58,1),(64,1),(110,1),(124,1)}
        82:{2,4,7}:{(58,1),(59,1),(65,1)}
        83:{2,4,5}:{(59,1),(66,1),(70,1)}
        84:{1,3,6,7}:{(60,1),(61,1),(64,1),(113,1),(161,1)}
        85:{1,4,7}:{(61,1),(62,1),(65,1)}
        86:{1,4,5}:{(62,1),(66,1),(102,1)}
        87:{3,5,6,7}:{(63,1),(64,1),(116,1),(117,1),(211,1)}
        88:{3,4,6,7}:{(64,1),(65,1),(110,1),(113,1),(116,1),(117,1),(118,1)}
        89:{3,4,5,7}:{(65,1),(66,1),(111,1),(114,1),(117,1),(118,1),(167,1),(210,1)}
        90:{3,4,5,6}:{(66,1),(112,1),(115,1),(118,1),(119,1),(168,1),(226,1)}
        91:{1,3,4,6}:{(68,1),(71,1),(106,1),(120,1),(121,1),(126,1),(179,1),(180,1)}
        92:{1,2,4,7}:{(67,1),(68,1),(69,1),(120,1),(122,1)}
        93:{1,2,5}:{(68,1),(70,1),(121,1)}
        94:{2,3,5,7}:{(69,1),(70,1),(111,1),(122,1),(124,1),(167,1)}
        95:{2,3,5,6}:{(70,1),(73,1),(112,1),(123,1),(124,1),(125,1),(168,1)}
        96:{1,3,5}:{(71,1),(72,1),(126,1)}
        97:{1,2,4,6}:{(72,1),(73,1),(123,1),(126,1),(127,1),(179,1)}
        98:{2,3,4,7}:{(73,1),(125,1),(127,1),(209,1)}
        99:{1,2,3,7}:{(74,1),(75,1),(129,1),(189,1)}
       100:{1,2,4,6}:{(74,1),(76,1),(77,1),(128,1),(129,1),(130,1),(186,1)}
       101:{1,3,4,7}:{(75,1),(76,1),(85,1),(129,1),(131,1),(136,1)}
       102:{1,3,5}:{(76,1),(86,1),(130,1),(137,1)}
       103:{2,3,4}:{(77,1),(133,1)}
       104:{1,2,4,5}:{(77,1),(78,1),(130,1),(133,1),(134,1),(183,1)}
       105:{1,3,4,6}:{(78,1),(132,1),(134,1),(135,1),(191,1)}
       106:{3,4,6}:{(80,1),(136,1),(137,1),(193,1)}
       107:{1,2,3,6,7}:{(79,1),(81,1),(84,1),(138,1),(153,1),(186,1),(193,1),(202,1),(218,1)}
       108:{1,2,4,7}:{(79,1),(80,1),(82,1),(85,1),(136,1),(201,1),(217,1)}
       109:{1,2,4,5}:{(80,1),(83,1),(86,1),(93,1),(130,1),(137,1),(150,1),(183,1)}
       110:{2,4,6,7}:{(81,1),(82,1),(88,1),(141,1),(142,1)}
       111:{2,4,5,7}:{(82,1),(83,1),(89,1),(94,1),(141,1),(142,1)}
       112:{2,4,5,6}:{(83,1),(90,1),(95,1),(142,1),(143,1)}
       113:{1,4,6,7}:{(84,1),(85,1),(88,1),(144,1),(145,1)}
       114:{1,4,5,7}:{(85,1),(86,1),(89,1),(131,1),(144,1),(145,1)}
       115:{1,4,5,6}:{(86,1),(90,1),(132,1),(145,1),(146,1)}
       116:{4,6,7}:{(87,1),(147,1),(221,1)}
       117:{3,5,7}:{(88,1),(141,1),(144,1),(147,1),(148,1)}
       118:{3,4,6}:{(89,1),(142,1),(145,1),(148,1),(193,1),(221,1)}
       119:{3,4,5,7}:{(90,1),(143,1),(146,1),(149,1),(194,1),(230,1)}
       120:{1,3,4,7}:{(91,1),(92,1),(136,1),(151,1),(156,1),(201,1)}
       121:{1,3,5}:{(91,1),(93,1),(137,1),(150,1)}
       122:{1,2,5,7}:{(92,1),(93,1),(94,1),(151,1),(153,1)}
       123:{1,2,5,6}:{(93,1),(95,1),(97,1),(152,1),(153,1),(154,1)}
       124:{2,3,6}:{(94,1),(142,1),(153,1),(193,1)}
       125:{2,3,5,7}:{(95,1),(98,1),(143,1),(154,1),(155,1),(194,1)}
       126:{1,3,6}:{(96,1),(97,1),(156,1)}
       127:{1,2,4,7}:{(97,1),(98,1),(154,1),(156,1),(201,1)}
       128:{2,3,4,6}:{(100,1),(103,1),(106,1),(157,1),(158,1),(163,1),(204,1),(205,1)}
       129:{1,2,4,7}:{(99,1),(100,1),(101,1),(157,1),(159,1)}
       130:{1,2,5}:{(100,1),(102,1),(158,1)}
       131:{1,3,5,7}:{(101,1),(102,1),(114,1),(159,1),(161,1),(167,1)}
       132:{1,3,5,6}:{(102,1),(105,1),(115,1),(160,1),(161,1),(162,1),(168,1)}
       133:{2,3,5}:{(103,1),(104,1),(163,1)}
       134:{1,2,4,6}:{(104,1),(105,1),(160,1),(163,1),(164,1),(204,1)}
       135:{1,3,4,7}:{(105,1),(162,1),(164,1),(209,1)}
       136:{3,4,7}:{(106,1),(108,1),(167,1)}
       137:{3,5}:{(106,1),(109,1)}
       138:{1,2,4,6,7}:{(107,1),(108,1),(110,1),(113,1),(166,1),(169,1),(170,1),(215,1),(225,1)}
       139:{1,2,4,5,7}:{(108,1),(109,1),(111,1),(114,1),(122,1),(159,1),(167,1),(169,1),(170,1),(178,1),(203,1),(210,1)}
       140:{1,2,4,5,6}:{(109,1),(112,1),(115,1),(123,1),(160,1),(168,1),(170,1),(171,1),(179,1),(204,1),(214,1),(224,1),(226,1)}
       141:{2,5,7}:{(110,1),(117,1),(172,1)}
       142:{2,4,6}:{(111,1),(118,1),(124,1),(172,1)}
       143:{2,4,5,7}:{(112,1),(119,1),(125,1),(173,1)}
       144:{1,5,7}:{(113,1),(117,1),(174,1)}
       145:{1,4,6}:{(114,1),(118,1),(161,1),(174,1)}
       146:{1,4,5,7}:{(115,1),(119,1),(162,1),(175,1)}
       147:{4,5,7}:{(116,1),(117,1),(176,1)}
       148:{3,5,6}:{(117,1),(118,1),(172,1),(174,1),(176,1)}
       149:{3,4,6,7}:{(118,1),(119,1),(173,1),(175,1),(177,1),(212,1),(228,1)}
       150:{1,4,5}:{(121,1),(165,1),(179,1)}
       151:{1,3,5,7}:{(120,1),(121,1),(122,1),(167,1),(178,1),(180,1)}
       152:{1,3,5,6}:{(121,1),(123,1),(126,1),(168,1),(179,1),(180,1),(181,1),(214,1)}
       153:{1,2,6}:{(122,1),(124,1),(180,1)}
       154:{1,2,5,7}:{(123,1),(125,1),(127,1),(181,1),(182,1)}
       155:{2,3,6,7}:{(124,1),(125,1),(173,1),(182,1),(212,1)}
       156:{1,3,7}:{(126,1),(127,1)}
       157:{2,3,4,7}:{(128,1),(129,1),(136,1),(184,1),(189,1),(217,1)}
       158:{2,3,5}:{(128,1),(130,1),(137,1),(183,1)}
       159:{1,2,5,7}:{(129,1),(130,1),(131,1),(184,1),(186,1)}
       160:{1,2,5,6}:{(130,1),(132,1),(134,1),(185,1),(186,1),(187,1)}
       161:{1,3,6}:{(131,1),(145,1),(186,1),(193,1)}
       162:{1,3,5,7}:{(132,1),(135,1),(146,1),(187,1),(188,1),(194,1)}
       163:{2,3,6}:{(133,1),(134,1),(189,1)}
       164:{1,2,4,7}:{(134,1),(135,1),(187,1),(189,1),(217,1)}
       165:{3,4,5}:{(137,1),(150,1),(183,1),(191,1)}
       166:{3,4,6,7}:{(136,1),(138,1),(192,1),(193,1),(221,1)}
       167:{3,5,7}:{(136,1),(137,1),(139,1),(193,1)}
       168:{3,5,6}:{(137,1),(140,1),(191,1),(193,1),(194,1)}
       169:{1,2,5,7}:{(138,1),(141,1),(144,1),(192,1),(195,1),(223,1),(229,1)}
       170:{1,2,4,6}:{(139,1),(142,1),(145,1),(153,1),(186,1),(193,1),(195,1),(200,1),(216,1),(221,1)}
       171:{1,2,4,5,7}:{(140,1),(143,1),(146,1),(154,1),(187,1),(194,1),(196,1),(201,1),(217,1),(223,1),(229,1),(230,1)}
       172:{2,5,6}:{(141,1),(142,1),(148,1)}
       173:{2,4,6,7}:{(142,1),(143,1),(149,1),(155,1),(197,1)}
       174:{1,5,6}:{(144,1),(145,1),(148,1)}
       175:{1,4,6,7}:{(145,1),(146,1),(149,1),(188,1),(198,1)}
       176:{4,5,6}:{(147,1),(148,1),(221,1)}
       177:{3,5,6,7}:{(148,1),(149,1),(197,1),(198,1),(199,1)}
       178:{1,4,5,7}:{(150,1),(151,1),(190,1),(200,1),(201,1),(223,1)}
       179:{1,4,6}:{(150,1),(152,1),(191,1),(201,1)}
       180:{1,3,6}:{(151,1),(153,1),(193,1),(200,1)}
       181:{1,3,5,7}:{(152,1),(154,1),(156,1),(194,1),(201,1),(202,1),(223,1)}
       182:{1,2,6,7}:{(153,1),(154,1),(155,1),(202,1)}
       183:{2,4,5}:{(158,1),(165,1),(204,1)}
       184:{2,3,5,7}:{(157,1),(158,1),(159,1),(167,1),(203,1),(205,1)}
       185:{2,3,5,6}:{(158,1),(160,1),(163,1),(168,1),(204,1),(205,1),(206,1),(224,1)}
       186:{1,2,6}:{(159,1),(161,1),(205,1)}
       187:{1,2,5,7}:{(160,1),(162,1),(164,1),(206,1),(207,1)}
       188:{1,3,6,7}:{(161,1),(162,1),(175,1),(207,1),(212,1)}
       189:{2,3,7}:{(163,1),(164,1)}
       190:{3,4,5,7}:{(165,1),(167,1),(178,1),(203,1),(208,1),(209,1),(210,1),(227,1)}
       191:{3,4,6}:{(165,1),(168,1),(179,1),(204,1),(209,1)}
       192:{3,5,7}:{(166,1),(169,1),(210,1),(211,1)}
       193:{3,6}:{(167,1),(170,1)}
       194:{3,5,7}:{(168,1),(171,1),(209,1),(212,1)}
       195:{1,2,5,6}:{(169,1),(170,1),(172,1),(174,1),(211,1),(214,1),(224,1)}
       196:{1,2,4,6,7}:{(170,1),(171,1),(173,1),(175,1),(182,1),(207,1),(212,1),(213,1),(215,1),(225,1),(228,1)}
       197:{2,5,6,7}:{(172,1),(173,1),(177,1)}
       198:{1,5,6,7}:{(174,1),(175,1),(177,1)}
       199:{4,5,6,7}:{(176,1),(177,1),(228,1)}
       200:{1,4,6}:{(178,1),(180,1),(208,1),(214,1)}
       201:{1,4,7}:{(179,1),(181,1),(209,1)}
       202:{1,3,6,7}:{(180,1),(181,1),(182,1),(212,1),(215,1)}
       203:{2,4,5,7}:{(183,1),(184,1),(190,1),(216,1),(217,1),(229,1)}
       204:{2,4,6}:{(183,1),(185,1),(191,1),(217,1)}
       205:{2,3,6}:{(184,1),(186,1),(193,1),(216,1)}
       206:{2,3,5,7}:{(185,1),(187,1),(189,1),(194,1),(217,1),(218,1),(229,1)}
       207:{1,2,6,7}:{(186,1),(187,1),(188,1),(218,1)}
       208:{3,4,6}:{(190,1),(193,1),(200,1),(216,1),(219,1),(221,1)}
       209:{3,4,7}:{(191,1),(194,1),(201,1),(217,1)}
       210:{4,5,7}:{(192,1),(221,1)}
       211:{3,5,6}:{(192,1),(193,1),(195,1),(221,1)}
       212:{3,6,7}:{(193,1),(194,1),(196,1)}
       213:{1,2,5,6,7}:{(195,1),(196,1),(197,1),(198,1),(222,1),(223,1),(229,1)}
       214:{1,5,6}:{(200,1),(219,1),(223,1)}
       215:{1,4,6,7}:{(200,1),(201,1),(202,1),(220,1),(223,1)}
       216:{2,4,6}:{(203,1),(205,1),(208,1),(224,1)}
       217:{2,4,7}:{(204,1),(206,1),(209,1)}
       218:{2,3,6,7}:{(205,1),(206,1),(207,1),(212,1),(225,1)}
       219:{3,5,6}:{(208,1),(214,1),(224,1),(226,1),(227,1)}
       220:{3,4,6,7}:{(208,1),(209,1),(212,1),(215,1),(225,1),(227,1),(228,1)}
       221:{4,6}:{(210,1),(211,1)}
       222:{3,5,6,7}:{(211,1),(212,1),(213,1),(227,1),(228,1)}
       223:{1,5,7}:{(214,1),(215,1),(227,1)}
       224:{2,5,6}:{(216,1),(219,1),(229,1)}
       225:{2,4,6,7}:{(216,1),(217,1),(218,1),(220,1),(229,1)}
       226:{4,5,6}:{(219,1),(221,1),(230,1)}
       227:{3,5,7}:{(219,1),(220,1),(223,1),(229,1),(230,1)}
       228:{4,6,7}:{(221,1),(222,1),(230,1)}
       229:{2,5,7}:{(224,1),(225,1),(227,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

1484 :   0:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(27,1),(29,1),(53,1),(66,1)}
         1:{2,3,5,6,7}:{(4,1),(6,1),(17,1),(28,1),(29,1),(50,1),(67,1)}
         2:{1,3,4,6,7}:{(7,1),(8,1),(14,1),(33,1),(48,1),(70,1),(78,1),(84,1),(107,1),(111,1),(119,1)}
         3:{2,3,4,6,7}:{(9,1),(10,1),(15,1),(35,1),(49,1),(73,1),(81,1),(85,1),(108,1),(112,1),(119,1)}
         4:{1,2,5,6,7}:{(0,1),(1,1),(13,1),(32,1),(34,1),(46,1),(47,1),(86,1)}
         5:{1,4,6,7}:{(0,1),(11,1),(14,1),(33,1),(72,1),(84,1)}
         6:{2,4,6,7}:{(1,1),(12,1),(15,1),(35,1),(69,1),(85,1)}
         7:{1,2,4,6,7}:{(2,1),(20,1),(21,1),(30,1),(51,1),(59,1),(68,1),(105,1),(125,1)}
         8:{1,3,5,7}:{(2,1),(16,1),(21,1),(22,1),(27,1),(60,1),(120,1),(123,1)}
         9:{1,2,4,6,7}:{(3,1),(23,1),(24,1),(31,1),(54,1),(62,1),(68,1),(105,1),(122,1)}
        10:{2,3,5,7}:{(3,1),(17,1),(24,1),(25,1),(28,1),(63,1),(121,1),(124,1)}
        11:{1,4,5,7}:{(5,1),(18,1),(27,1),(91,1)}
        12:{2,4,5,7}:{(6,1),(19,1),(28,1),(87,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(26,1),(29,1),(30,1),(31,1),(51,1),(54,1),(68,1),(105,1)}
        14:{3,4,6,7}:{(5,1),(27,1),(29,1),(30,1),(52,1),(65,1),(92,1)}
        15:{3,4,6,7}:{(6,1),(28,1),(29,1),(31,1),(55,1),(65,1),(88,1)}
        16:{1,3,5,6}:{(8,1),(32,1),(33,1),(37,1),(70,1)}
        17:{2,3,5,6}:{(10,1),(34,1),(35,1),(38,1),(73,1)}
        18:{1,4,5,6}:{(11,1),(33,1),(37,1)}
        19:{2,4,5,6}:{(12,1),(35,1),(38,1)}
        20:{2,3,6,7}:{(7,1),(39,1),(70,1),(119,1),(133,1)}
        21:{1,2,5,7}:{(7,1),(8,1),(32,1),(39,1),(46,1),(132,1)}
        22:{1,4,5,7}:{(8,1),(33,1),(41,1),(84,1),(114,1)}
        23:{1,3,6,7}:{(9,1),(42,1),(73,1),(119,1),(131,1)}
        24:{1,2,5,7}:{(9,1),(10,1),(34,1),(42,1),(47,1),(130,1)}
        25:{2,4,5,7}:{(10,1),(35,1),(44,1),(85,1),(115,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(36,1),(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        27:{3,5,7}:{(11,1),(14,1),(37,1),(46,1),(110,1)}
        28:{3,5,7}:{(12,1),(15,1),(38,1),(47,1),(106,1)}
        29:{3,6,7}:{(13,1),(45,1),(70,1),(73,1),(119,1)}
        30:{2,4,6,7}:{(14,1),(46,1),(49,1),(71,1),(85,1),(112,1)}
        31:{1,4,6,7}:{(15,1),(47,1),(48,1),(74,1),(84,1),(107,1)}
        32:{1,2,5,6}:{(16,1),(21,1),(50,1),(51,1),(57,1),(120,1)}
        33:{1,4,6}:{(16,1),(22,1),(52,1)}
        34:{1,2,5,6}:{(17,1),(24,1),(53,1),(54,1),(58,1),(124,1)}
        35:{2,4,6}:{(17,1),(25,1),(55,1)}
        36:{1,2,4,5,6}:{(18,1),(19,1),(26,1),(51,1),(54,1),(56,1),(57,1),(58,1),(87,1),(91,1),(96,1),(97,1),(98,1),(120,1),(124,1),(126,1)}
        37:{3,5,6}:{(18,1),(27,1),(52,1),(57,1)}
        38:{3,5,6}:{(19,1),(28,1),(55,1),(58,1)}
        39:{2,3,5,7}:{(20,1),(21,1),(50,1),(59,1),(60,1),(136,1)}
        40:{1,2,4,5,7}:{(21,1),(22,1),(51,1),(59,1),(60,1),(61,1),(87,1),(99,1),(101,1),(105,1),(120,1),(126,1)}
        41:{3,4,5,7}:{(22,1),(27,1),(52,1),(60,1),(61,1),(65,1),(95,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(53,1),(62,1),(63,1),(135,1)}
        43:{1,2,4,5,7}:{(24,1),(25,1),(54,1),(62,1),(63,1),(64,1),(91,1),(103,1),(104,1),(105,1),(124,1),(126,1)}
        44:{3,4,5,7}:{(25,1),(28,1),(55,1),(63,1),(64,1),(65,1),(95,1)}
        45:{3,5,7}:{(26,1),(29,1),(56,1),(65,1)}
        46:{2,5,7}:{(27,1),(30,1),(57,1),(124,1)}
        47:{1,5,7}:{(28,1),(31,1),(58,1),(120,1)}
        48:{1,3,6,7}:{(29,1),(31,1),(66,1),(68,1),(89,1),(93,1)}
        49:{2,3,6,7}:{(29,1),(30,1),(67,1),(68,1),(90,1),(94,1)}
        50:{2,3,5,6}:{(32,1),(39,1),(69,1),(70,1),(106,1)}
        51:{1,2,4,6}:{(32,1),(33,1),(40,1),(69,1),(70,1),(71,1),(107,1),(109,1)}
        52:{3,4,6}:{(33,1),(37,1),(41,1),(70,1),(71,1)}
        53:{1,3,5,6}:{(34,1),(42,1),(72,1),(73,1),(110,1)}
        54:{1,2,4,6}:{(34,1),(35,1),(43,1),(72,1),(73,1),(74,1),(112,1),(113,1)}
        55:{3,4,6}:{(35,1),(38,1),(44,1),(73,1),(74,1)}
        56:{3,5,6}:{(36,1),(45,1),(70,1),(73,1),(75,1),(106,1),(110,1),(134,1)}
        57:{2,5,6}:{(37,1),(46,1),(71,1)}
        58:{1,5,6}:{(38,1),(47,1),(74,1)}
        59:{2,4,7}:{(39,1),(69,1),(78,1),(139,1)}
        60:{3,5,7}:{(40,1),(70,1),(78,1),(106,1),(119,1),(134,1)}
        61:{2,4,5,7}:{(41,1),(46,1),(71,1),(80,1),(85,1),(115,1)}
        62:{1,4,7}:{(42,1),(72,1),(81,1),(138,1)}
        63:{3,5,7}:{(43,1),(73,1),(81,1),(110,1),(119,1),(134,1)}
        64:{1,4,5,7}:{(44,1),(47,1),(74,1),(82,1),(84,1),(114,1)}
        65:{3,4,7}:{(45,1),(75,1),(84,1),(85,1),(119,1)}
        66:{1,3,5,7}:{(45,1),(47,1),(48,1),(76,1),(84,1),(86,1),(119,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(49,1),(77,1),(85,1),(86,1),(119,1)}
        68:{1,2,6,7}:{(48,1),(49,1),(86,1),(109,1),(113,1)}
        69:{2,4,6}:{(50,1),(59,1),(87,1),(88,1)}
        70:{3,6}:{(51,1),(60,1)}
        71:{2,4,6}:{(52,1),(57,1),(61,1),(90,1)}
        72:{1,4,6}:{(53,1),(62,1),(91,1),(92,1)}
        73:{3,6}:{(54,1),(63,1)}
        74:{1,4,6}:{(55,1),(58,1),(64,1),(93,1)}
        75:{3,4,6}:{(56,1),(65,1),(95,1),(96,1),(97,1),(127,1),(137,1)}
        76:{1,3,5,6}:{(56,1),(58,1),(66,1),(89,1),(93,1),(96,1),(98,1),(120,1),(123,1),(127,1),(135,1)}
        77:{2,3,5,6}:{(56,1),(57,1),(67,1),(90,1),(94,1),(97,1),(98,1),(121,1),(124,1),(127,1),(136,1)}
        78:{3,4,7}:{(59,1),(60,1),(88,1),(99,1),(137,1)}
        79:{1,3,5,7}:{(60,1),(89,1),(99,1),(101,1),(120,1),(128,1),(135,1)}
        80:{2,3,5,7}:{(60,1),(61,1),(90,1),(100,1),(101,1),(121,1)}
        81:{3,4,7}:{(62,1),(63,1),(92,1),(103,1),(137,1)}
        82:{1,3,5,7}:{(63,1),(64,1),(93,1),(102,1),(104,1),(123,1)}
        83:{2,3,5,7}:{(63,1),(94,1),(103,1),(104,1),(124,1),(129,1),(136,1)}
        84:{1,4,7}:{(65,1),(66,1),(96,1)}
        85:{2,4,7}:{(65,1),(67,1),(97,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(98,1),(105,1)}
        87:{2,4,5}:{(69,1),(106,1)}
        88:{3,4,6}:{(69,1),(70,1),(78,1),(106,1),(107,1)}
        89:{1,3,6}:{(70,1),(79,1),(107,1),(109,1)}
        90:{2,3,6}:{(70,1),(71,1),(80,1),(109,1)}
        91:{1,4,5}:{(72,1),(110,1)}
        92:{3,4,6}:{(72,1),(73,1),(81,1),(110,1),(112,1)}
        93:{1,3,6}:{(73,1),(74,1),(82,1),(113,1)}
        94:{2,3,6}:{(73,1),(83,1),(112,1),(113,1)}
        95:{3,4,5}:{(75,1),(106,1),(110,1),(114,1),(115,1),(134,1)}
        96:{1,4,6}:{(75,1),(76,1),(84,1),(114,1),(138,1)}
        97:{2,4,6}:{(75,1),(77,1),(85,1),(115,1),(139,1)}
        98:{1,2,5,6}:{(76,1),(77,1),(86,1),(109,1),(113,1),(116,1),(130,1),(132,1)}
        99:{1,4,7}:{(78,1),(79,1),(107,1),(138,1)}
       100:{2,3,4,7}:{(78,1),(80,1),(85,1),(108,1),(117,1),(119,1)}
       101:{1,2,5,7}:{(79,1),(80,1),(109,1),(117,1),(130,1)}
       102:{1,3,4,7}:{(81,1),(82,1),(84,1),(111,1),(118,1),(119,1)}
       103:{2,4,7}:{(81,1),(83,1),(112,1),(139,1)}
       104:{1,2,5,7}:{(82,1),(83,1),(113,1),(118,1),(132,1)}
       105:{1,2,4,7}:{(84,1),(85,1),(86,1),(116,1),(119,1)}
       106:{3,5}:{(87,1),(88,1),(120,1)}
       107:{1,4,6}:{(88,1),(89,1),(99,1),(120,1)}
       108:{2,3,4,6}:{(88,1),(90,1),(97,1),(100,1),(121,1),(122,1),(127,1),(137,1)}
       109:{1,2,6}:{(89,1),(90,1),(101,1)}
       110:{3,5}:{(91,1),(92,1),(124,1)}
       111:{1,3,4,6}:{(92,1),(93,1),(96,1),(102,1),(123,1),(125,1),(127,1),(137,1)}
       112:{2,4,6}:{(92,1),(94,1),(103,1),(124,1)}
       113:{1,2,6}:{(93,1),(94,1),(104,1)}
       114:{1,4,5}:{(95,1),(96,1),(120,1),(123,1)}
       115:{2,4,5}:{(95,1),(97,1),(121,1),(124,1)}
       116:{1,2,4,6}:{(96,1),(97,1),(98,1),(105,1),(126,1),(127,1)}
       117:{1,2,4,7}:{(99,1),(100,1),(101,1),(122,1),(128,1)}
       118:{1,2,4,7}:{(102,1),(103,1),(104,1),(125,1),(129,1)}
       119:{3,7}:{(105,1),(127,1)}
       120:{1,5}:{(106,1),(107,1)}
       121:{2,3,5}:{(106,1),(108,1),(115,1),(130,1),(134,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(117,1),(130,1),(131,1),(138,1)}
       123:{1,3,5}:{(110,1),(111,1),(114,1),(132,1),(134,1)}
       124:{2,5}:{(110,1),(112,1)}
       125:{1,2,4,6}:{(111,1),(112,1),(113,1),(118,1),(132,1),(133,1),(139,1)}
       126:{1,2,4,5}:{(114,1),(115,1),(116,1),(130,1),(132,1),(134,1),(138,1),(139,1)}
       127:{3,6}:{(116,1),(119,1),(134,1)}
       128:{1,3,7}:{(117,1),(119,1),(131,1)}
       129:{2,3,7}:{(118,1),(119,1),(133,1)}
       130:{1,2,5}:{(120,1),(121,1),(122,1),(135,1)}
       131:{1,3,6}:{(122,1),(127,1),(128,1),(135,1)}
       132:{1,2,5}:{(123,1),(124,1),(125,1),(136,1)}
       133:{2,3,6}:{(125,1),(127,1),(129,1),(136,1)}
       134:{3,5}:{(126,1),(127,1),(137,1)}
       135:{1,3,5}:{(130,1),(131,1),(134,1),(138,1)}
       136:{2,3,5}:{(132,1),(133,1),(134,1),(139,1)}
       137:{3,4}:{(134,1),(138,1),(139,1)}
       138:{1,4}:{(135,1),(137,1)}
       139:{2,4}:{(136,1),(137,1)}

1485 :   0:{1,2,3,5,6}:{(1,1),(2,1),(7,1),(11,1),(36,1),(38,1),(40,1),(42,1),(44,1),(77,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(17,1),(24,1),(26,1),(56,1),(59,1),(61,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(51,1),(53,1)}
         3:{3,4,6}:{(2,1),(10,1),(11,1),(42,1)}
         4:{1,2,3,6,7}:{(1,1),(12,1),(42,1),(77,1),(79,1),(80,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(10,1),(72,1),(74,1)}
         6:{1,2,4,5}:{(2,1),(11,1),(31,1),(32,1),(36,1)}
         7:{1,2,3,6}:{(15,1),(17,1),(18,1),(85,1)}
         8:{2,3,4,6}:{(3,1),(18,1),(19,1),(20,1),(46,1),(51,1),(58,1),(83,1),(85,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(21,1),(22,1),(46,1),(53,1),(60,1),(83,1),(85,1)}
        10:{3,4,7}:{(3,1),(5,1),(24,1)}
        11:{3,5}:{(3,1),(6,1)}
        12:{1,2,4,6,7}:{(4,1),(5,1),(23,1),(26,1),(27,1),(90,1),(92,1)}
        13:{1,2,4,5,7}:{(5,1),(6,1),(24,1),(26,1),(27,1),(50,1),(52,1),(56,1),(62,1)}
        14:{1,2,4,5,6}:{(6,1),(25,1),(27,1),(28,1),(51,1),(53,1),(57,1),(89,1),(91,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(30,1),(36,1),(67,1)}
        16:{3,4,5}:{(11,1),(31,1),(32,1),(34,1),(67,1)}
        17:{1,2,3,7}:{(7,1),(35,1),(99,1)}
        18:{1,2,4,6}:{(7,1),(8,1),(9,1),(30,1),(35,1),(36,1),(77,1)}
        19:{2,3,4,7}:{(8,1),(10,1),(35,1),(37,1),(66,1),(72,1),(99,1)}
        20:{2,3,5}:{(8,1),(11,1),(31,1),(36,1),(67,1),(97,1)}
        21:{1,3,4,7}:{(9,1),(10,1),(35,1),(39,1),(66,1),(74,1),(99,1)}
        22:{1,3,5}:{(9,1),(11,1),(32,1),(36,1),(67,1),(97,1)}
        23:{3,4,6,7}:{(10,1),(12,1),(41,1),(42,1),(81,1)}
        24:{3,5,7}:{(10,1),(11,1),(13,1),(42,1)}
        25:{3,5,6}:{(11,1),(14,1),(34,1),(42,1),(43,1)}
        26:{1,2,5,7}:{(12,1),(41,1),(44,1),(102,1),(103,1)}
        27:{1,2,4,6}:{(13,1),(42,1),(44,1),(71,1),(73,1),(77,1),(81,1)}
        28:{1,2,4,5,7}:{(14,1),(43,1),(45,1),(72,1),(74,1),(78,1),(102,1),(103,1),(104,1)}
        29:{1,2,3,5,7}:{(15,1),(17,1),(47,1),(48,1),(56,1),(84,1),(86,1)}
        30:{1,2,4}:{(15,1),(46,1)}
        31:{2,4,5}:{(16,1),(20,1),(51,1),(105,1)}
        32:{1,4,5}:{(16,1),(22,1),(53,1),(105,1)}
        33:{3,4,5,7}:{(16,1),(24,1),(50,1),(52,1),(54,1),(55,1),(62,1),(84,1),(94,1),(105,1),(111,1)}
        34:{3,4,6}:{(16,1),(25,1),(51,1),(53,1),(55,1),(85,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(19,1),(21,1),(56,1)}
        36:{1,2,5}:{(18,1),(20,1),(22,1)}
        37:{2,3,5,7}:{(19,1),(20,1),(24,1),(50,1),(56,1),(58,1),(84,1)}
        38:{2,3,5,6}:{(20,1),(25,1),(51,1),(57,1),(58,1),(59,1),(85,1),(89,1),(106,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(24,1),(52,1),(56,1),(60,1),(84,1)}
        40:{1,3,5,6}:{(22,1),(25,1),(53,1),(57,1),(60,1),(61,1),(85,1),(91,1),(106,1)}
        41:{3,5,7}:{(23,1),(26,1),(62,1),(63,1)}
        42:{3,6}:{(24,1),(27,1)}
        43:{3,5,7}:{(25,1),(28,1),(55,1),(64,1)}
        44:{1,2,5,6}:{(26,1),(27,1),(63,1),(89,1),(91,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(64,1),(65,1),(90,1),(92,1),(95,1),(96,1)}
        46:{3,4}:{(30,1),(67,1)}
        47:{1,2,3,6}:{(29,1),(68,1),(77,1),(98,1)}
        48:{1,2,4,7}:{(29,1),(30,1),(66,1),(68,1)}
        49:{1,2,4,5}:{(30,1),(31,1),(32,1),(36,1),(67,1),(70,1)}
        50:{2,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(102,1)}
        51:{2,4,6}:{(31,1),(34,1),(38,1),(72,1),(109,1)}
        52:{1,4,5,7}:{(32,1),(33,1),(39,1),(73,1),(74,1),(103,1)}
        53:{1,4,6}:{(32,1),(34,1),(40,1),(74,1),(109,1)}
        54:{3,4,6}:{(33,1),(42,1),(71,1),(73,1),(75,1),(81,1),(98,1),(109,1)}
        55:{3,4,7}:{(34,1),(43,1),(72,1),(74,1),(99,1)}
        56:{1,2,5,7}:{(35,1),(36,1),(37,1),(39,1),(77,1)}
        57:{1,2,5,6}:{(36,1),(38,1),(40,1),(70,1),(77,1),(78,1)}
        58:{2,3,6}:{(37,1),(42,1),(71,1),(77,1),(98,1)}
        59:{2,3,5,7}:{(38,1),(43,1),(72,1),(78,1),(79,1),(99,1),(102,1),(110,1)}
        60:{1,3,6}:{(39,1),(42,1),(73,1),(77,1),(98,1)}
        61:{1,3,5,7}:{(40,1),(43,1),(74,1),(78,1),(80,1),(99,1),(103,1),(110,1)}
        62:{4,5,7}:{(41,1),(81,1)}
        63:{3,5,6}:{(41,1),(42,1),(44,1),(81,1)}
        64:{3,6,7}:{(42,1),(43,1),(45,1)}
        65:{1,2,5,6,7}:{(44,1),(45,1),(82,1),(102,1),(103,1)}
        66:{3,4,7}:{(46,1),(48,1),(83,1),(84,1),(111,1)}
        67:{3,5}:{(46,1),(49,1),(85,1)}
        68:{1,2,4,6}:{(47,1),(48,1),(83,1),(86,1)}
        69:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(52,1),(56,1),(84,1),(86,1),(87,1),(88,1),(105,1),(108,1),(111,1)}
        70:{1,2,4,6}:{(49,1),(51,1),(53,1),(57,1),(85,1),(88,1)}
        71:{2,4,6}:{(50,1),(54,1),(58,1),(89,1)}
        72:{2,4,7}:{(51,1),(55,1),(59,1),(111,1)}
        73:{1,4,6}:{(52,1),(54,1),(60,1),(91,1)}
        74:{1,4,7}:{(53,1),(55,1),(61,1),(111,1)}
        75:{3,5,6}:{(54,1),(89,1),(91,1),(93,1),(94,1)}
        76:{3,4,6,7}:{(54,1),(55,1),(64,1),(90,1),(92,1),(94,1),(96,1),(107,1),(111,1)}
        77:{1,2,6}:{(56,1),(58,1),(60,1)}
        78:{1,2,5,7}:{(57,1),(59,1),(61,1),(88,1),(95,1)}
        79:{2,3,6,7}:{(58,1),(59,1),(64,1),(90,1),(95,1),(107,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(64,1),(92,1),(95,1),(107,1)}
        81:{4,6}:{(62,1),(63,1)}
        82:{3,5,6,7}:{(63,1),(64,1),(65,1),(94,1),(96,1)}
        83:{3,4,6}:{(66,1),(68,1),(97,1),(98,1),(109,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(97,1),(98,1),(99,1)}
        85:{3,6}:{(67,1),(70,1),(99,1)}
        86:{1,2,5}:{(68,1),(97,1)}
        87:{1,2,4,6}:{(69,1),(71,1),(73,1),(77,1),(98,1),(100,1),(109,1)}
        88:{1,2,4,7}:{(70,1),(72,1),(74,1),(78,1),(99,1)}
        89:{2,5,6}:{(71,1),(75,1),(102,1)}
        90:{2,4,6,7}:{(71,1),(72,1),(76,1),(79,1),(102,1)}
        91:{1,5,6}:{(73,1),(75,1),(103,1)}
        92:{1,4,6,7}:{(73,1),(74,1),(76,1),(80,1),(103,1)}
        93:{4,5,6}:{(75,1),(81,1),(104,1),(109,1)}
        94:{3,5,7}:{(75,1),(76,1),(102,1),(103,1),(104,1)}
        95:{1,2,6,7}:{(77,1),(78,1),(79,1),(80,1)}
        96:{4,6,7}:{(81,1),(82,1),(104,1)}
        97:{3,5}:{(83,1),(86,1),(105,1)}
        98:{3,6}:{(84,1),(87,1)}
        99:{3,7}:{(85,1),(88,1)}
       100:{1,2,5,6}:{(86,1),(87,1),(89,1),(91,1),(106,1),(108,1)}
       101:{1,2,4,6,7}:{(87,1),(88,1),(90,1),(92,1),(95,1),(107,1),(108,1),(111,1)}
       102:{2,5,7}:{(89,1),(90,1),(94,1)}
       103:{1,5,7}:{(91,1),(92,1),(94,1)}
       104:{4,5,7}:{(93,1),(94,1),(96,1),(111,1)}
       105:{4,5}:{(97,1),(109,1)}
       106:{3,5,6}:{(97,1),(98,1),(100,1),(109,1),(110,1)}
       107:{3,6,7}:{(98,1),(99,1),(101,1),(110,1)}
       108:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1486 :   0:{1,2,3,6,7}:{(2,1),(3,1),(38,1),(75,1),(76,1),(77,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(11,1),(15,1),(38,1),(43,1),(44,1),(45,1),(46,1),(77,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(84,1),(85,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(23,1),(59,1),(60,1),(61,1),(62,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(53,1),(54,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(13,1),(32,1),(38,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(11,1),(94,1),(95,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(13,1),(71,1),(72,1)}
         8:{1,2,4,5}:{(4,1),(15,1),(35,1),(36,1),(45,1)}
         9:{3,4,6}:{(4,1),(13,1),(15,1),(38,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,5,6}:{(6,1),(18,1),(22,1),(82,1),(83,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(22,1),(23,1),(50,1),(51,1),(59,1)}
        13:{3,4,7}:{(7,1),(9,1),(23,1)}
        14:{1,2,4,5,6}:{(8,1),(22,1),(26,1),(27,1),(47,1),(53,1),(54,1),(63,1),(82,1),(83,1)}
        15:{3,5}:{(8,1),(9,1)}
        16:{1,3,4,6}:{(9,1),(24,1),(28,1),(30,1),(53,1),(57,1),(89,1),(90,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(25,1),(29,1),(30,1),(54,1),(58,1),(89,1),(90,1),(105,1)}
        18:{3,5,6}:{(10,1),(11,1),(32,1),(38,1)}
        19:{4,5,7}:{(10,1),(32,1)}
        20:{3,4,5}:{(15,1),(34,1),(35,1),(36,1),(74,1)}
        21:{1,2,5,6,7}:{(11,1),(31,1),(37,1),(94,1),(95,1)}
        22:{1,2,4,6}:{(11,1),(12,1),(32,1),(38,1),(68,1),(69,1),(77,1)}
        23:{3,5,7}:{(12,1),(13,1),(15,1),(38,1)}
        24:{1,3,4,7}:{(13,1),(16,1),(39,1),(41,1),(71,1),(99,1),(100,1)}
        25:{2,3,4,7}:{(13,1),(17,1),(40,1),(41,1),(72,1),(99,1),(100,1)}
        26:{1,2,4,5,7}:{(14,1),(37,1),(42,1),(65,1),(71,1),(72,1),(79,1),(94,1),(95,1)}
        27:{3,5,6}:{(14,1),(15,1),(34,1),(38,1),(42,1)}
        28:{1,3,5}:{(15,1),(16,1),(35,1),(45,1),(74,1),(109,1)}
        29:{2,3,5}:{(15,1),(17,1),(36,1),(45,1),(74,1),(109,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(41,1),(45,1),(46,1),(77,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(48,1),(56,1),(81,1)}
        32:{4,6}:{(18,1),(19,1)}
        33:{3,4,5,7}:{(19,1),(20,1),(23,1),(49,1),(50,1),(51,1),(52,1),(81,1),(87,1),(110,1),(111,1)}
        34:{3,4,6}:{(20,1),(27,1),(52,1),(53,1),(54,1),(89,1)}
        35:{1,4,5}:{(20,1),(28,1),(53,1),(111,1)}
        36:{2,4,5}:{(20,1),(29,1),(54,1),(111,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(26,1),(48,1),(56,1),(84,1),(85,1),(91,1)}
        38:{3,6}:{(22,1),(23,1)}
        39:{1,3,5,7}:{(23,1),(24,1),(28,1),(50,1),(57,1),(59,1),(87,1)}
        40:{2,3,5,7}:{(23,1),(25,1),(29,1),(51,1),(58,1),(59,1),(87,1)}
        41:{1,2,4,7}:{(24,1),(25,1),(30,1),(59,1),(60,1)}
        42:{3,5,7}:{(26,1),(27,1),(52,1),(56,1)}
        43:{1,3,5,6}:{(27,1),(28,1),(53,1),(57,1),(61,1),(63,1),(82,1),(89,1),(103,1)}
        44:{2,3,5,6}:{(27,1),(29,1),(54,1),(58,1),(62,1),(63,1),(83,1),(89,1),(103,1)}
        45:{1,2,5}:{(28,1),(29,1),(30,1)}
        46:{1,2,3,6}:{(30,1),(60,1),(64,1),(89,1)}
        47:{4,5,6}:{(32,1),(65,1),(66,1),(108,1)}
        48:{4,6,7}:{(31,1),(32,1),(65,1)}
        49:{3,4,6}:{(32,1),(33,1),(38,1),(66,1),(68,1),(69,1),(98,1),(108,1)}
        50:{1,4,5,7}:{(33,1),(35,1),(39,1),(68,1),(71,1),(94,1)}
        51:{2,4,5,7}:{(33,1),(36,1),(40,1),(69,1),(72,1),(95,1)}
        52:{3,4,7}:{(34,1),(42,1),(71,1),(72,1),(100,1)}
        53:{1,4,6}:{(34,1),(35,1),(43,1),(71,1),(108,1)}
        54:{2,4,6}:{(34,1),(36,1),(44,1),(72,1),(108,1)}
        55:{1,2,4,5}:{(35,1),(36,1),(45,1),(73,1),(74,1),(80,1)}
        56:{3,6,7}:{(37,1),(38,1),(42,1)}
        57:{1,3,6}:{(38,1),(39,1),(68,1),(77,1),(98,1)}
        58:{2,3,6}:{(38,1),(40,1),(69,1),(77,1),(98,1)}
        59:{1,2,5,7}:{(39,1),(40,1),(41,1),(45,1),(77,1)}
        60:{1,2,3,7}:{(41,1),(46,1),(100,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(71,1),(75,1),(79,1),(94,1),(100,1),(107,1)}
        62:{2,3,5,7}:{(42,1),(44,1),(72,1),(76,1),(79,1),(95,1),(100,1),(107,1)}
        63:{1,2,5,6}:{(43,1),(44,1),(45,1),(73,1),(77,1),(79,1)}
        64:{1,2,3,5}:{(45,1),(46,1),(74,1),(80,1)}
        65:{4,5,7}:{(47,1),(48,1),(81,1),(110,1)}
        66:{3,5,6}:{(47,1),(49,1),(81,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(48,1),(49,1),(52,1),(56,1),(81,1),(84,1),(85,1),(104,1),(110,1)}
        68:{1,4,6}:{(49,1),(50,1),(57,1),(82,1)}
        69:{2,4,6}:{(49,1),(51,1),(58,1),(83,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(55,1),(59,1),(86,1),(87,1),(88,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        71:{1,4,7}:{(52,1),(53,1),(61,1),(110,1)}
        72:{2,4,7}:{(52,1),(54,1),(62,1),(110,1)}
        73:{1,2,4,6}:{(53,1),(54,1),(55,1),(63,1),(88,1),(89,1)}
        74:{3,5}:{(55,1),(89,1),(90,1)}
        75:{1,3,6,7}:{(56,1),(57,1),(61,1),(84,1),(91,1),(104,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(62,1),(85,1),(91,1),(104,1)}
        77:{1,2,6}:{(57,1),(58,1),(59,1)}
        78:{1,2,3,5,7}:{(59,1),(60,1),(64,1),(87,1),(92,1),(93,1),(106,1)}
        79:{1,2,5,7}:{(61,1),(62,1),(63,1),(88,1),(91,1)}
        80:{1,2,4}:{(64,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(67,1),(94,1),(95,1)}
        82:{1,5,6}:{(66,1),(68,1),(94,1)}
        83:{2,5,6}:{(66,1),(69,1),(95,1)}
        84:{1,4,6,7}:{(67,1),(68,1),(71,1),(75,1),(94,1)}
        85:{2,4,6,7}:{(67,1),(69,1),(72,1),(76,1),(95,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(96,1),(98,1),(108,1)}
        87:{3,5,7}:{(70,1),(74,1),(98,1),(99,1),(100,1),(109,1)}
        88:{1,2,4,7}:{(71,1),(72,1),(73,1),(79,1),(100,1)}
        89:{3,6}:{(73,1),(74,1),(100,1)}
        90:{3,4}:{(74,1),(80,1)}
        91:{1,2,6,7}:{(75,1),(76,1),(77,1),(79,1)}
        92:{1,2,3,6}:{(77,1),(78,1),(98,1),(101,1)}
        93:{1,2,4,7}:{(78,1),(80,1),(99,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(84,1)}
        95:{2,5,7}:{(81,1),(83,1),(85,1)}
        96:{1,2,5,6}:{(82,1),(83,1),(86,1),(102,1),(103,1),(106,1)}
        97:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(102,1),(104,1),(110,1)}
        98:{3,6}:{(86,1),(87,1)}
        99:{3,4,7}:{(87,1),(90,1),(93,1),(105,1),(110,1)}
       100:{3,7}:{(88,1),(89,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(97,1),(107,1)}
       103:{3,5,6}:{(96,1),(98,1),(107,1),(108,1),(109,1)}
       104:{3,6,7}:{(97,1),(98,1),(100,1),(107,1)}
       105:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(103,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1487 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(24,1),(188,1),(198,1),(218,1)}
         1:{1,3,4,5}:{(5,1),(6,1),(76,1),(84,1),(148,1)}
         2:{1,4,5,6}:{(0,1),(9,1),(11,1),(176,1),(213,1)}
         3:{2,4,5,6}:{(0,1),(8,1),(12,1),(202,1),(224,1)}
         4:{3,4,5,7}:{(0,1),(11,1),(12,1),(13,1),(47,1),(175,1)}
         5:{1,3,4,6}:{(1,1),(9,1),(15,1),(16,1),(46,1)}
         6:{1,2,4,5}:{(1,1),(15,1),(17,1),(57,1),(106,1),(117,1)}
         7:{2,3,4,5}:{(18,1),(19,1),(76,1),(124,1),(184,1)}
         8:{2,3,5,6}:{(3,1),(18,1),(20,1),(21,1),(24,1),(184,1),(217,1)}
         9:{1,3,5,6}:{(2,1),(5,1),(22,1),(23,1),(24,1),(148,1),(201,1)}
        10:{1,2,4,5,6}:{(2,1),(3,1),(20,1),(22,1),(24,1),(25,1),(70,1),(73,1),(135,1),(194,1),(196,1),(197,1),(198,1)}
        11:{1,4,5,7}:{(2,1),(4,1),(23,1),(26,1)}
        12:{2,4,5,7}:{(3,1),(4,1),(21,1),(27,1)}
        13:{3,4,6,7}:{(4,1),(26,1),(27,1),(28,1),(78,1),(144,1),(218,1)}
        14:{2,3,4,5}:{(29,1),(30,1),(34,1),(87,1),(188,1)}
        15:{1,2,4,6}:{(5,1),(6,1),(22,1),(32,1),(33,1),(73,1)}
        16:{1,3,4,7}:{(5,1),(23,1),(33,1),(77,1)}
        17:{2,3,5}:{(6,1),(32,1),(34,1)}
        18:{2,3,4,6}:{(7,1),(8,1),(36,1),(37,1),(46,1)}
        19:{1,2,4,5}:{(7,1),(36,1),(38,1),(94,1),(103,1),(157,1)}
        20:{1,2,5,6}:{(8,1),(36,1),(40,1),(41,1),(157,1),(206,1)}
        21:{2,3,5,7}:{(8,1),(12,1),(37,1),(41,1),(42,1),(47,1)}
        22:{1,2,5,6}:{(9,1),(15,1),(43,1),(44,1),(117,1),(180,1)}
        23:{1,3,5,7}:{(9,1),(11,1),(16,1),(44,1),(45,1),(47,1)}
        24:{3,5,6}:{(10,1),(46,1),(47,1),(166,1),(210,1)}
        25:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(41,1),(44,1),(47,1),(48,1),(104,1),(107,1),(171,1),(173,1),(175,1)}
        26:{1,4,6,7}:{(11,1),(13,1),(45,1),(49,1),(213,1)}
        27:{2,4,6,7}:{(12,1),(13,1),(42,1),(50,1),(224,1)}
        28:{3,5,6,7}:{(13,1),(49,1),(50,1),(51,1),(226,1)}
        29:{2,3,4,6}:{(14,1),(52,1),(53,1),(54,1),(160,1)}
        30:{1,2,4,5}:{(14,1),(53,1),(55,1),(57,1),(117,1),(176,1)}
        31:{1,2,3,5}:{(17,1),(55,1),(56,1),(57,1),(117,1)}
        32:{2,3,6}:{(15,1),(17,1),(59,1)}
        33:{1,2,4,7}:{(15,1),(16,1),(44,1),(59,1),(107,1)}
        34:{2,3,4}:{(17,1),(57,1)}
        35:{1,3,4,5}:{(60,1),(61,1),(65,1),(127,1),(188,1)}
        36:{1,2,4,6}:{(18,1),(19,1),(20,1),(63,1),(64,1),(70,1)}
        37:{2,3,4,7}:{(18,1),(21,1),(64,1),(77,1)}
        38:{1,3,5}:{(19,1),(63,1),(65,1)}
        39:{3,4,5,6}:{(66,1),(67,1),(68,1),(76,1),(129,1),(142,1),(230,1)}
        40:{1,3,5,6}:{(20,1),(24,1),(63,1),(70,1),(71,1),(127,1),(187,1),(196,1)}
        41:{1,2,5,7}:{(20,1),(21,1),(64,1),(71,1),(72,1)}
        42:{2,3,6,7}:{(21,1),(27,1),(72,1),(78,1),(217,1)}
        43:{2,3,5,6}:{(22,1),(24,1),(32,1),(73,1),(74,1),(87,1),(151,1),(197,1)}
        44:{1,2,5,7}:{(22,1),(23,1),(33,1),(74,1),(75,1)}
        45:{1,3,6,7}:{(23,1),(26,1),(75,1),(78,1),(201,1)}
        46:{3,4,6}:{(24,1),(70,1),(73,1),(76,1),(77,1)}
        47:{3,5,7}:{(24,1),(25,1),(77,1),(78,1)}
        48:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(72,1),(75,1),(78,1),(79,1),(139,1),(141,1),(144,1),(194,1)}
        49:{1,5,6,7}:{(26,1),(28,1),(223,1)}
        50:{2,5,6,7}:{(27,1),(28,1),(229,1)}
        51:{4,5,6,7}:{(28,1),(144,1),(230,1)}
        52:{2,3,5,6}:{(29,1),(67,1),(80,1),(81,1),(87,1),(129,1),(151,1)}
        53:{1,2,4,6}:{(29,1),(30,1),(80,1),(82,1),(83,1),(145,1)}
        54:{2,3,4,7}:{(29,1),(81,1),(83,1),(189,1)}
        55:{1,3,5}:{(30,1),(82,1),(84,1)}
        56:{1,2,3,6}:{(31,1),(32,1),(82,1),(85,1),(86,1)}
        57:{1,2,4}:{(31,1),(34,1),(84,1)}
        58:{2,3,4,6}:{(32,1),(34,1),(73,1),(85,1),(87,1),(88,1),(134,1),(151,1)}
        59:{2,3,7}:{(32,1),(33,1)}
        60:{1,3,4,6}:{(35,1),(89,1),(90,1),(91,1),(160,1)}
        61:{1,2,4,5}:{(35,1),(90,1),(92,1),(94,1),(157,1),(202,1)}
        62:{1,2,3,5}:{(38,1),(92,1),(93,1),(94,1),(157,1)}
        63:{1,3,6}:{(36,1),(38,1),(96,1)}
        64:{1,2,4,7}:{(36,1),(37,1),(41,1),(96,1),(104,1)}
        65:{1,3,4}:{(38,1),(94,1)}
        66:{1,4,5,6}:{(39,1),(89,1),(98,1),(103,1),(170,1)}
        67:{2,4,5,6}:{(39,1),(52,1),(99,1),(106,1),(172,1)}
        68:{3,4,5,7}:{(39,1),(98,1),(99,1),(100,1),(161,1),(227,1)}
        69:{1,2,3,5,6}:{(40,1),(43,1),(56,1),(93,1),(101,1),(102,1),(112,1),(117,1),(152,1),(157,1),(166,1),(180,1),(206,1),(210,1),(212,1)}
        70:{1,4,6}:{(40,1),(46,1),(103,1),(104,1)}
        71:{1,3,5,7}:{(40,1),(41,1),(47,1),(96,1),(104,1),(105,1),(171,1)}
        72:{1,2,6,7}:{(41,1),(42,1),(105,1),(206,1)}
        73:{2,4,6}:{(43,1),(46,1),(106,1),(107,1)}
        74:{2,3,5,7}:{(43,1),(44,1),(47,1),(59,1),(107,1),(108,1),(173,1)}
        75:{1,2,6,7}:{(44,1),(45,1),(108,1),(180,1)}
        76:{3,4,5}:{(46,1),(103,1),(106,1),(166,1)}
        77:{3,4,7}:{(46,1),(47,1),(104,1),(107,1)}
        78:{3,6,7}:{(47,1),(48,1),(210,1)}
        79:{1,2,5,6,7}:{(48,1),(49,1),(50,1),(111,1),(171,1),(173,1),(212,1)}
        80:{1,2,5,6}:{(52,1),(53,1),(112,1),(113,1),(117,1),(180,1)}
        81:{2,3,5,7}:{(52,1),(54,1),(99,1),(113,1),(114,1),(161,1)}
        82:{1,3,6}:{(53,1),(55,1),(116,1)}
        83:{1,2,4,7}:{(53,1),(54,1),(113,1),(116,1),(177,1)}
        84:{1,3,4}:{(55,1),(57,1)}
        85:{1,2,4,6}:{(56,1),(57,1),(58,1),(115,1),(117,1),(118,1),(180,1)}
        86:{1,2,3,7}:{(56,1),(59,1),(116,1),(118,1)}
        87:{2,3,5}:{(58,1),(106,1),(117,1),(166,1)}
        88:{2,3,4,7}:{(58,1),(59,1),(107,1),(118,1),(119,1),(167,1)}
        89:{1,3,5,6}:{(60,1),(66,1),(120,1),(121,1),(127,1),(129,1),(187,1)}
        90:{1,2,4,6}:{(60,1),(61,1),(120,1),(122,1),(123,1),(181,1)}
        91:{1,3,4,7}:{(60,1),(121,1),(123,1),(189,1)}
        92:{2,3,5}:{(61,1),(122,1),(124,1)}
        93:{1,2,3,6}:{(62,1),(63,1),(122,1),(125,1),(126,1)}
        94:{1,2,4}:{(62,1),(65,1),(124,1)}
        95:{1,3,4,6}:{(63,1),(65,1),(70,1),(125,1),(127,1),(128,1),(134,1),(187,1)}
        96:{1,3,7}:{(63,1),(64,1)}
        97:{1,2,4,5,6}:{(66,1),(67,1),(80,1),(120,1),(129,1),(130,1),(135,1),(145,1),(181,1),(194,1),(223,1),(229,1),(230,1)}
        98:{1,4,5,7}:{(66,1),(68,1),(121,1),(131,1)}
        99:{2,4,5,7}:{(67,1),(68,1),(81,1),(132,1)}
       100:{3,4,6,7}:{(68,1),(131,1),(132,1),(133,1),(142,1),(190,1),(220,1)}
       101:{1,2,4,6}:{(69,1),(70,1),(73,1),(134,1),(135,1),(136,1),(145,1),(181,1)}
       102:{1,2,3,5,7}:{(69,1),(71,1),(74,1),(86,1),(126,1),(136,1),(137,1),(146,1),(150,1),(182,1),(186,1),(192,1),(195,1)}
       103:{1,4,5}:{(70,1),(76,1),(127,1)}
       104:{1,4,7}:{(70,1),(71,1),(77,1)}
       105:{1,3,6,7}:{(71,1),(72,1),(78,1),(139,1),(187,1)}
       106:{2,4,5}:{(73,1),(76,1),(87,1)}
       107:{2,4,7}:{(73,1),(74,1),(77,1)}
       108:{2,3,6,7}:{(74,1),(75,1),(78,1),(141,1),(151,1)}
       109:{3,4,5,7}:{(76,1),(77,1),(138,1),(140,1),(142,1),(143,1),(192,1),(222,1)}
       110:{3,4,6,7}:{(77,1),(78,1),(139,1),(141,1),(142,1),(143,1),(144,1)}
       111:{3,5,6,7}:{(78,1),(79,1),(143,1),(144,1),(221,1)}
       112:{1,3,5,6}:{(80,1),(82,1),(129,1),(145,1),(146,1),(148,1),(201,1),(223,1)}
       113:{1,2,5,7}:{(80,1),(81,1),(83,1),(146,1),(147,1)}
       114:{2,3,6,7}:{(81,1),(132,1),(147,1),(151,1),(190,1)}
       115:{1,3,4,6}:{(82,1),(84,1),(85,1),(134,1),(145,1),(148,1),(149,1),(201,1)}
       116:{1,3,7}:{(82,1),(83,1)}
       117:{1,2,5}:{(85,1),(87,1),(148,1)}
       118:{1,2,4,7}:{(85,1),(86,1),(88,1),(149,1),(150,1)}
       119:{2,3,5,7}:{(87,1),(88,1),(140,1),(150,1),(151,1),(192,1)}
       120:{1,2,5,6}:{(89,1),(90,1),(152,1),(153,1),(157,1),(206,1)}
       121:{1,3,5,7}:{(89,1),(91,1),(98,1),(153,1),(154,1),(161,1)}
       122:{2,3,6}:{(90,1),(92,1),(156,1)}
       123:{1,2,4,7}:{(90,1),(91,1),(153,1),(156,1),(203,1)}
       124:{2,3,4}:{(92,1),(94,1)}
       125:{1,2,4,6}:{(93,1),(94,1),(95,1),(155,1),(157,1),(158,1),(206,1)}
       126:{1,2,3,7}:{(93,1),(96,1),(156,1),(158,1)}
       127:{1,3,5}:{(95,1),(103,1),(157,1),(166,1)}
       128:{1,3,4,7}:{(95,1),(96,1),(104,1),(158,1),(159,1),(167,1)}
       129:{3,5,6}:{(97,1),(160,1),(161,1),(166,1),(210,1)}
       130:{1,2,4,5,7}:{(97,1),(98,1),(99,1),(113,1),(153,1),(161,1),(162,1),(177,1),(203,1),(214,1),(225,1),(227,1)}
       131:{1,4,6,7}:{(98,1),(100,1),(154,1),(163,1),(170,1)}
       132:{2,4,6,7}:{(99,1),(100,1),(114,1),(164,1),(172,1)}
       133:{3,5,6,7}:{(100,1),(163,1),(164,1),(165,1),(174,1)}
       134:{3,4,6}:{(101,1),(166,1),(167,1),(210,1)}
       135:{1,2,4,5}:{(101,1),(103,1),(106,1),(117,1),(157,1),(166,1),(176,1),(202,1)}
       136:{1,2,4,7}:{(101,1),(102,1),(104,1),(107,1),(167,1),(177,1),(203,1)}
       137:{1,2,3,6,7}:{(102,1),(105,1),(108,1),(169,1),(178,1),(180,1),(204,1),(206,1),(210,1)}
       138:{1,4,5,7}:{(103,1),(104,1),(109,1),(159,1),(170,1),(171,1)}
       139:{1,4,6,7}:{(104,1),(105,1),(110,1),(170,1),(171,1)}
       140:{2,4,5,7}:{(106,1),(107,1),(109,1),(119,1),(172,1),(173,1)}
       141:{2,4,6,7}:{(107,1),(108,1),(110,1),(172,1),(173,1)}
       142:{3,4,6}:{(109,1),(170,1),(172,1),(174,1),(210,1),(228,1)}
       143:{3,5,7}:{(110,1),(171,1),(173,1),(174,1),(175,1)}
       144:{4,6,7}:{(111,1),(175,1),(228,1)}
       145:{1,4,6}:{(112,1),(160,1),(176,1),(177,1)}
       146:{1,3,5,7}:{(112,1),(113,1),(116,1),(161,1),(177,1),(178,1),(214,1)}
       147:{1,2,6,7}:{(113,1),(114,1),(178,1),(180,1)}
       148:{1,3,5}:{(115,1),(117,1),(166,1),(176,1)}
       149:{1,3,4,7}:{(115,1),(116,1),(118,1),(167,1),(177,1),(179,1)}
       150:{1,2,5,7}:{(117,1),(118,1),(119,1),(179,1),(180,1)}
       151:{2,3,6}:{(119,1),(172,1),(180,1),(210,1)}
       152:{2,3,5,6}:{(120,1),(122,1),(129,1),(181,1),(182,1),(184,1),(217,1),(229,1)}
       153:{1,2,5,7}:{(120,1),(121,1),(123,1),(182,1),(183,1)}
       154:{1,3,6,7}:{(121,1),(131,1),(183,1),(187,1),(190,1)}
       155:{2,3,4,6}:{(122,1),(124,1),(125,1),(134,1),(181,1),(184,1),(185,1),(217,1)}
       156:{2,3,7}:{(122,1),(123,1)}
       157:{1,2,5}:{(125,1),(127,1),(184,1)}
       158:{1,2,4,7}:{(125,1),(126,1),(128,1),(185,1),(186,1)}
       159:{1,3,5,7}:{(127,1),(128,1),(138,1),(186,1),(187,1),(192,1)}
       160:{3,4,6}:{(129,1),(145,1),(181,1),(188,1),(189,1)}
       161:{3,5,7}:{(129,1),(130,1),(189,1),(190,1)}
       162:{1,2,4,6,7}:{(130,1),(131,1),(132,1),(147,1),(183,1),(190,1),(191,1),(194,1),(200,1),(216,1),(220,1)}
       163:{1,5,6,7}:{(131,1),(133,1),(196,1)}
       164:{2,5,6,7}:{(132,1),(133,1),(197,1)}
       165:{4,5,6,7}:{(133,1),(198,1),(220,1)}
       166:{3,5}:{(134,1),(135,1)}
       167:{3,4,7}:{(134,1),(136,1),(192,1)}
       168:{1,2,4,5,7}:{(135,1),(136,1),(138,1),(140,1),(150,1),(186,1),(192,1),(194,1),(195,1),(199,1),(215,1),(222,1)}
       169:{1,2,4,6,7}:{(136,1),(137,1),(139,1),(141,1),(193,1),(194,1),(195,1),(200,1),(216,1)}
       170:{1,4,6}:{(138,1),(142,1),(187,1),(196,1)}
       171:{1,5,7}:{(139,1),(143,1),(196,1)}
       172:{2,4,6}:{(140,1),(142,1),(151,1),(197,1)}
       173:{2,5,7}:{(141,1),(143,1),(197,1)}
       174:{3,5,6}:{(142,1),(143,1),(196,1),(197,1),(198,1)}
       175:{4,5,7}:{(143,1),(144,1),(198,1)}
       176:{1,4,5}:{(145,1),(148,1),(188,1)}
       177:{1,4,7}:{(145,1),(146,1),(189,1)}
       178:{1,3,6,7}:{(146,1),(147,1),(190,1),(200,1),(201,1)}
       179:{1,3,5,7}:{(148,1),(149,1),(150,1),(192,1),(199,1),(201,1)}
       180:{1,2,6}:{(150,1),(151,1),(201,1)}
       181:{2,4,6}:{(152,1),(160,1),(202,1),(203,1)}
       182:{2,3,5,7}:{(152,1),(153,1),(156,1),(161,1),(203,1),(204,1),(225,1)}
       183:{1,2,6,7}:{(153,1),(154,1),(204,1),(206,1)}
       184:{2,3,5}:{(155,1),(157,1),(166,1),(202,1)}
       185:{2,3,4,7}:{(155,1),(156,1),(158,1),(167,1),(203,1),(205,1)}
       186:{1,2,5,7}:{(157,1),(158,1),(159,1),(205,1),(206,1)}
       187:{1,3,6}:{(159,1),(170,1),(206,1),(210,1)}
       188:{3,4,5}:{(160,1),(166,1),(176,1),(202,1)}
       189:{3,4,7}:{(160,1),(161,1),(177,1),(203,1)}
       190:{3,6,7}:{(161,1),(162,1),(210,1)}
       191:{1,2,5,6,7}:{(162,1),(163,1),(164,1),(209,1),(212,1),(214,1),(225,1)}
       192:{3,5,7}:{(166,1),(167,1),(168,1),(210,1)}
       193:{3,4,6,7}:{(167,1),(169,1),(210,1),(211,1),(228,1)}
       194:{1,2,4,6}:{(168,1),(170,1),(172,1),(180,1),(206,1),(210,1),(212,1),(213,1),(224,1),(228,1)}
       195:{1,2,5,7}:{(169,1),(171,1),(173,1),(211,1),(212,1),(214,1),(225,1)}
       196:{1,5,6}:{(170,1),(171,1),(174,1)}
       197:{2,5,6}:{(172,1),(173,1),(174,1)}
       198:{4,5,6}:{(174,1),(175,1),(228,1)}
       199:{1,4,5,7}:{(176,1),(177,1),(179,1),(207,1),(213,1),(214,1)}
       200:{1,4,6,7}:{(177,1),(178,1),(208,1),(213,1),(214,1)}
       201:{1,3,6}:{(179,1),(180,1),(210,1),(213,1)}
       202:{2,4,5}:{(181,1),(184,1),(188,1)}
       203:{2,4,7}:{(181,1),(182,1),(189,1)}
       204:{2,3,6,7}:{(182,1),(183,1),(190,1),(216,1),(217,1)}
       205:{2,3,5,7}:{(184,1),(185,1),(186,1),(192,1),(215,1),(217,1)}
       206:{1,2,6}:{(186,1),(187,1),(217,1)}
       207:{3,4,5,7}:{(188,1),(189,1),(192,1),(199,1),(215,1),(218,1),(219,1),(222,1)}
       208:{3,4,6,7}:{(189,1),(190,1),(200,1),(216,1),(218,1),(219,1),(220,1)}
       209:{3,5,6,7}:{(190,1),(191,1),(219,1),(220,1),(221,1)}
       210:{3,6}:{(192,1),(194,1)}
       211:{3,5,7}:{(193,1),(195,1),(221,1),(222,1)}
       212:{1,2,5,6}:{(194,1),(195,1),(196,1),(197,1),(221,1),(223,1),(229,1)}
       213:{1,4,6}:{(199,1),(201,1),(218,1),(223,1)}
       214:{1,5,7}:{(200,1),(219,1),(223,1)}
       215:{2,4,5,7}:{(202,1),(203,1),(205,1),(207,1),(224,1),(225,1)}
       216:{2,4,6,7}:{(203,1),(204,1),(208,1),(224,1),(225,1)}
       217:{2,3,6}:{(205,1),(206,1),(210,1),(224,1)}
       218:{3,4,6}:{(207,1),(210,1),(213,1),(224,1),(226,1),(228,1)}
       219:{3,5,7}:{(208,1),(214,1),(225,1),(226,1),(227,1)}
       220:{4,6,7}:{(209,1),(227,1),(228,1)}
       221:{3,5,6}:{(210,1),(211,1),(212,1),(228,1)}
       222:{4,5,7}:{(211,1),(228,1)}
       223:{1,5,6}:{(213,1),(214,1),(226,1)}
       224:{2,4,6}:{(215,1),(217,1),(218,1),(229,1)}
       225:{2,5,7}:{(216,1),(219,1),(229,1)}
       226:{3,5,6}:{(218,1),(219,1),(223,1),(229,1),(230,1)}
       227:{4,5,7}:{(219,1),(220,1),(230,1)}
       228:{4,6}:{(221,1),(222,1)}
       229:{2,5,6}:{(224,1),(225,1),(226,1)}
       230:{4,5,6}:{(226,1),(227,1),(228,1)}

1488 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(20,1),(51,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(32,1),(66,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(46,1),(81,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(18,1),(23,1),(45,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(19,1),(23,1),(44,1),(83,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(61,1),(101,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(60,1),(100,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(30,1),(31,1),(103,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(43,1),(81,1),(154,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(21,1),(23,1),(39,1),(46,1)}
        13:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(23,1),(37,1),(46,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(23,1),(122,1)}
        15:{1,2,3,5,6,7}:{(8,1),(23,1),(24,1),(44,1),(45,1),(47,1),(50,1),(74,1),(82,1),(83,1),(84,1),(125,1),(157,1),(169,1),(171,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(27,1),(101,1),(162,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(28,1),(100,1),(158,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(27,1),(30,1),(32,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(28,1),(31,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(29,1),(30,1),(31,1),(32,1),(60,1),(61,1)}
        21:{1,2,4,6,7}:{(12,1),(30,1),(33,1),(54,1),(60,1)}
        22:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(52,1),(61,1)}
        23:{3,6,7}:{(14,1),(32,1),(142,1)}
        24:{1,2,4,6,7}:{(15,1),(35,1),(36,1),(60,1),(61,1),(94,1),(100,1),(101,1),(173,1),(174,1)}
        25:{2,3,4,5,7}:{(19,1),(37,1),(38,1),(46,1),(77,1),(79,1),(108,1),(121,1),(144,1)}
        26:{1,3,4,5,7}:{(18,1),(39,1),(40,1),(46,1),(77,1),(80,1),(113,1),(121,1),(149,1)}
        27:{1,3,5,6}:{(16,1),(18,1),(39,1),(41,1),(43,1),(149,1)}
        28:{2,3,5,6}:{(17,1),(19,1),(37,1),(42,1),(43,1),(144,1)}
        29:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(41,1),(42,1),(43,1),(75,1),(76,1),(117,1),(122,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(41,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(42,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(43,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(71,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(68,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(50,1),(81,1),(116,1),(157,1),(172,1)}
        36:{1,2,4,5,7}:{(24,1),(50,1),(51,1),(79,1),(80,1),(82,1),(117,1)}
        37:{2,3,4,6}:{(25,1),(28,1),(52,1),(58,1),(100,1),(142,1)}
        38:{1,2,4,5,7}:{(25,1),(31,1),(52,1),(53,1),(61,1),(88,1),(96,1),(127,1)}
        39:{1,3,4,6}:{(26,1),(27,1),(54,1),(58,1),(101,1),(142,1)}
        40:{1,2,4,5,7}:{(26,1),(30,1),(54,1),(55,1),(60,1),(92,1),(95,1),(133,1)}
        41:{1,2,5,6}:{(27,1),(30,1),(54,1),(56,1),(133,1)}
        42:{1,2,5,6}:{(28,1),(31,1),(52,1),(57,1),(127,1)}
        43:{3,5,6}:{(29,1),(32,1),(58,1),(138,1),(142,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(56,1),(60,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(57,1),(61,1)}
        46:{3,4,7}:{(32,1),(58,1),(60,1),(61,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(59,1),(63,1),(86,1),(90,1),(142,1),(161,1),(165,1)}
        48:{2,3,4,6,7}:{(33,1),(35,1),(60,1),(63,1),(64,1),(91,1),(98,1),(100,1),(126,1),(142,1),(161,1),(173,1)}
        49:{1,3,4,6,7}:{(34,1),(35,1),(61,1),(63,1),(65,1),(87,1),(98,1),(101,1),(132,1),(142,1),(165,1),(174,1)}
        50:{3,5,7}:{(35,1),(36,1),(66,1),(138,1)}
        51:{1,2,4,5,6}:{(36,1),(66,1),(100,1),(101,1),(103,1)}
        52:{1,2,4,6}:{(37,1),(38,1),(42,1),(68,1),(76,1)}
        53:{1,3,5,7}:{(38,1),(68,1),(70,1),(107,1),(121,1)}
        54:{1,2,4,6}:{(39,1),(40,1),(41,1),(71,1),(75,1)}
        55:{2,3,5,7}:{(40,1),(71,1),(73,1),(112,1),(121,1)}
        56:{2,3,5,6}:{(41,1),(43,1),(44,1),(71,1),(75,1),(112,1)}
        57:{1,3,5,6}:{(42,1),(43,1),(45,1),(68,1),(76,1),(107,1)}
        58:{3,4,6}:{(43,1),(46,1),(75,1),(76,1),(77,1)}
        59:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(74,1),(78,1),(82,1),(121,1),(169,1),(171,1)}
        60:{2,4,7}:{(44,1),(46,1),(75,1)}
        61:{1,4,7}:{(45,1),(46,1),(76,1)}
        62:{3,4,5,7}:{(46,1),(50,1),(77,1),(79,1),(80,1),(81,1),(121,1),(154,1),(172,1)}
        63:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(78,1),(82,1),(106,1),(111,1),(122,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(79,1),(82,1),(83,1),(112,1),(121,1),(144,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(80,1),(82,1),(84,1),(107,1),(121,1),(149,1)}
        66:{3,5,6}:{(50,1),(51,1),(81,1)}
        67:{1,2,4,5,6,7}:{(51,1),(85,1),(123,1),(124,1),(125,1),(156,1)}
        68:{1,3,6}:{(52,1),(53,1),(142,1)}
        69:{1,2,3,5,7}:{(53,1),(86,1),(88,1),(127,1),(129,1)}
        70:{1,3,4,7}:{(53,1),(61,1),(87,1),(88,1),(98,1)}
        71:{2,3,6}:{(54,1),(55,1),(142,1)}
        72:{1,2,3,5,7}:{(55,1),(90,1),(92,1),(133,1),(135,1)}
        73:{2,3,4,7}:{(55,1),(60,1),(91,1),(92,1),(98,1)}
        74:{1,2,3,5,6}:{(56,1),(57,1),(59,1),(86,1),(90,1),(94,1),(103,1),(127,1),(133,1),(138,1),(142,1),(159,1),(163,1)}
        75:{2,4,6}:{(56,1),(58,1),(60,1),(95,1)}
        76:{1,4,6}:{(57,1),(58,1),(61,1),(96,1)}
        77:{3,4,5}:{(58,1),(95,1),(96,1),(138,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(61,1),(94,1),(98,1),(173,1),(174,1)}
        79:{2,4,5,7}:{(60,1),(62,1),(64,1),(95,1),(100,1),(158,1),(173,1)}
        80:{1,4,5,7}:{(61,1),(62,1),(65,1),(96,1),(101,1),(162,1),(174,1)}
        81:{3,4,6}:{(62,1),(66,1),(100,1),(101,1),(142,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(65,1),(103,1),(127,1),(133,1)}
        83:{2,3,5,6}:{(64,1),(66,1),(100,1),(103,1),(142,1)}
        84:{1,3,5,6}:{(65,1),(66,1),(101,1),(103,1),(142,1)}
        85:{3,5,6,7}:{(66,1),(67,1),(102,1),(167,1)}
        86:{1,2,3,6}:{(68,1),(69,1),(106,1),(147,1)}
        87:{1,3,4,6}:{(68,1),(70,1),(76,1),(106,1),(107,1),(116,1)}
        88:{1,2,4,7}:{(69,1),(70,1),(106,1),(108,1)}
        89:{1,3,4,5,7}:{(70,1),(80,1),(107,1),(109,1),(110,1),(121,1),(146,1),(154,1),(172,1)}
        90:{1,2,3,6}:{(71,1),(72,1),(111,1),(152,1)}
        91:{2,3,4,6}:{(71,1),(73,1),(75,1),(111,1),(112,1),(116,1)}
        92:{1,2,4,7}:{(72,1),(73,1),(111,1),(113,1)}
        93:{2,3,4,5,7}:{(73,1),(79,1),(112,1),(114,1),(115,1),(121,1),(151,1),(154,1),(172,1)}
        94:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(116,1),(117,1),(168,1),(170,1)}
        95:{2,4,5}:{(75,1),(77,1),(112,1)}
        96:{1,4,5}:{(76,1),(77,1),(107,1)}
        97:{3,4,5,6}:{(77,1),(81,1),(118,1),(119,1),(120,1),(155,1)}
        98:{3,4,7}:{(78,1),(116,1),(121,1)}
        99:{1,2,4,5,7}:{(78,1),(79,1),(80,1),(82,1),(117,1),(121,1),(122,1)}
       100:{2,4,6}:{(79,1),(81,1),(83,1)}
       101:{1,4,6}:{(80,1),(81,1),(84,1)}
       102:{3,4,6,7}:{(81,1),(85,1),(120,1),(123,1),(124,1),(157,1),(172,1)}
       103:{1,2,5,6}:{(82,1),(83,1),(84,1),(122,1)}
       104:{2,3,5,6,7}:{(83,1),(85,1),(123,1),(125,1),(151,1),(157,1),(169,1)}
       105:{1,3,5,6,7}:{(84,1),(85,1),(124,1),(125,1),(146,1),(157,1),(171,1)}
       106:{1,2,4,6}:{(86,1),(87,1),(88,1),(126,1),(127,1)}
       107:{1,3,5}:{(87,1),(96,1),(127,1),(138,1)}
       108:{2,3,4,7}:{(88,1),(98,1),(126,1),(129,1),(173,1)}
       109:{1,2,4,5,7}:{(88,1),(89,1),(127,1),(129,1),(130,1),(158,1),(160,1),(173,1)}
       110:{1,3,4,6}:{(89,1),(101,1),(128,1),(130,1),(142,1),(166,1)}
       111:{1,2,4,6}:{(90,1),(91,1),(92,1),(132,1),(133,1)}
       112:{2,3,5}:{(91,1),(95,1),(133,1),(138,1)}
       113:{1,3,4,7}:{(92,1),(98,1),(132,1),(135,1),(174,1)}
       114:{1,2,4,5,7}:{(92,1),(93,1),(133,1),(135,1),(136,1),(162,1),(164,1),(174,1)}
       115:{2,3,4,6}:{(93,1),(100,1),(134,1),(136,1),(142,1),(166,1)}
       116:{3,4,6}:{(94,1),(98,1),(138,1),(142,1)}
       117:{1,2,4,5}:{(94,1),(95,1),(96,1),(127,1),(133,1),(138,1),(158,1),(162,1)}
       118:{2,4,5,6}:{(95,1),(97,1),(100,1),(134,1),(140,1)}
       119:{1,4,5,6}:{(96,1),(97,1),(101,1),(128,1),(141,1)}
       120:{3,4,5,7}:{(97,1),(102,1),(140,1),(141,1),(167,1)}
       121:{3,5,7}:{(98,1),(99,1),(138,1),(142,1)}
       122:{1,2,4,6}:{(99,1),(100,1),(101,1),(103,1),(142,1)}
       123:{2,4,6,7}:{(100,1),(102,1),(104,1),(140,1),(173,1)}
       124:{1,4,6,7}:{(101,1),(102,1),(105,1),(141,1),(174,1)}
       125:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(143,1),(160,1),(164,1)}
       126:{2,3,4,6}:{(106,1),(108,1),(116,1),(144,1),(147,1),(168,1)}
       127:{1,2,5}:{(106,1),(107,1),(144,1)}
       128:{1,3,5,6}:{(107,1),(110,1),(119,1),(145,1),(146,1),(155,1)}
       129:{2,3,5,7}:{(108,1),(109,1),(121,1),(144,1),(147,1)}
       130:{1,2,4,6}:{(109,1),(110,1),(145,1),(147,1),(168,1)}
       131:{1,3,4,6,7}:{(110,1),(124,1),(146,1),(148,1),(157,1),(172,1)}
       132:{1,3,4,6}:{(111,1),(113,1),(116,1),(149,1),(152,1),(170,1)}
       133:{1,2,5}:{(111,1),(112,1),(149,1)}
       134:{2,3,5,6}:{(112,1),(115,1),(118,1),(150,1),(151,1),(155,1)}
       135:{1,3,5,7}:{(113,1),(114,1),(121,1),(149,1),(152,1)}
       136:{1,2,4,6}:{(114,1),(115,1),(150,1),(152,1),(170,1)}
       137:{2,3,4,6,7}:{(115,1),(123,1),(151,1),(153,1),(157,1),(172,1)}
       138:{3,5}:{(116,1),(117,1)}
       139:{1,2,4,5,6}:{(117,1),(118,1),(119,1),(122,1),(145,1),(150,1),(155,1),(156,1),(168,1),(170,1)}
       140:{2,4,5,7}:{(118,1),(120,1),(123,1),(151,1)}
       141:{1,4,5,7}:{(119,1),(120,1),(124,1),(146,1)}
       142:{3,6}:{(121,1),(122,1)}
       143:{1,2,4,6,7}:{(122,1),(123,1),(124,1),(125,1),(156,1),(157,1)}
       144:{2,3,5}:{(126,1),(127,1),(138,1),(158,1)}
       145:{1,2,5,6}:{(127,1),(128,1),(130,1),(159,1),(160,1)}
       146:{1,3,5,7}:{(128,1),(131,1),(141,1),(160,1),(167,1)}
       147:{2,3,6}:{(129,1),(130,1),(142,1)}
       148:{1,2,4,6,7}:{(130,1),(131,1),(160,1),(161,1),(173,1)}
       149:{1,3,5}:{(132,1),(133,1),(138,1),(162,1)}
       150:{1,2,5,6}:{(133,1),(134,1),(136,1),(163,1),(164,1)}
       151:{2,3,5,7}:{(134,1),(137,1),(140,1),(164,1),(167,1)}
       152:{1,3,6}:{(135,1),(136,1),(142,1)}
       153:{1,2,4,6,7}:{(136,1),(137,1),(164,1),(165,1),(174,1)}
       154:{3,4,5}:{(138,1),(158,1),(162,1),(166,1)}
       155:{3,5,6}:{(138,1),(139,1),(142,1),(166,1),(167,1)}
       156:{1,2,4,5,7}:{(139,1),(140,1),(141,1),(143,1),(160,1),(164,1),(167,1),(173,1),(174,1)}
       157:{3,6,7}:{(142,1),(143,1),(167,1)}
       158:{2,4,5}:{(144,1),(154,1),(168,1)}
       159:{2,3,5,6}:{(144,1),(145,1),(147,1),(155,1),(168,1),(169,1)}
       160:{1,2,5,7}:{(145,1),(146,1),(148,1),(169,1)}
       161:{2,3,6,7}:{(147,1),(148,1),(157,1),(169,1)}
       162:{1,4,5}:{(149,1),(154,1),(170,1)}
       163:{1,3,5,6}:{(149,1),(150,1),(152,1),(155,1),(170,1),(171,1)}
       164:{1,2,5,7}:{(150,1),(151,1),(153,1),(171,1)}
       165:{1,3,6,7}:{(152,1),(153,1),(157,1),(171,1)}
       166:{3,4,6}:{(154,1),(155,1),(168,1),(170,1),(172,1)}
       167:{3,5,7}:{(155,1),(156,1),(157,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(166,1),(173,1)}
       169:{2,3,5,7}:{(159,1),(160,1),(161,1),(167,1),(173,1)}
       170:{1,4,6}:{(162,1),(163,1),(166,1),(174,1)}
       171:{1,3,5,7}:{(163,1),(164,1),(165,1),(167,1),(174,1)}
       172:{3,4,7}:{(166,1),(167,1),(173,1),(174,1)}
       173:{2,4,7}:{(168,1),(169,1),(172,1)}
       174:{1,4,7}:{(170,1),(171,1),(172,1)}

1489 :   0:{3,4,5,6,7}:{(1,1),(2,1),(10,1),(86,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(95,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(97,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(10,1),(82,1)}
         4:{2,3,5,6,7}:{(2,1),(7,1),(9,1),(10,1),(84,1)}
         5:{1,2,4,5,6,7}:{(1,1),(2,1),(8,1),(9,1),(10,1),(26,1),(27,1),(53,1)}
         6:{1,3,4,6,7}:{(3,1),(12,1),(14,1),(18,1)}
         7:{2,3,4,6,7}:{(4,1),(13,1),(15,1),(18,1)}
         8:{1,2,5,6,7}:{(3,1),(14,1),(16,1),(65,1)}
         9:{1,2,5,6,7}:{(4,1),(15,1),(17,1),(68,1)}
        10:{3,5,6,7}:{(5,1),(18,1),(70,1)}
        11:{2,3,4,5,6}:{(13,1),(19,1),(40,1),(72,1),(98,1)}
        12:{1,3,4,5,7}:{(6,1),(20,1),(21,1),(28,1),(76,1),(82,1)}
        13:{2,3,4,5,7}:{(7,1),(11,1),(22,1),(28,1),(79,1),(84,1)}
        14:{1,2,4,6,7}:{(6,1),(8,1),(21,1),(23,1),(26,1)}
        15:{1,2,4,6,7}:{(7,1),(9,1),(22,1),(24,1),(27,1)}
        16:{2,3,5,6,7}:{(8,1),(10,1),(23,1),(26,1),(49,1)}
        17:{1,3,5,6,7}:{(9,1),(10,1),(24,1),(27,1),(51,1)}
        18:{3,4,6,7}:{(10,1),(26,1),(27,1),(28,1)}
        19:{1,2,4,5,6}:{(11,1),(22,1),(29,1),(55,1),(56,1),(85,1)}
        20:{1,3,4,5,6}:{(12,1),(30,1),(40,1),(89,1),(96,1)}
        21:{1,2,4,5,7}:{(12,1),(14,1),(30,1),(31,1),(38,1),(60,1),(65,1)}
        22:{1,2,4,5,7}:{(13,1),(15,1),(19,1),(32,1),(39,1),(62,1),(68,1)}
        23:{2,3,6,7}:{(14,1),(31,1)}
        24:{1,3,6,7}:{(15,1),(32,1)}
        25:{1,2,3,5,6,7}:{(16,1),(17,1),(33,1),(35,1),(37,1),(65,1),(68,1),(70,1),(96,1),(98,1)}
        26:{2,4,6,7}:{(16,1),(18,1),(38,1)}
        27:{1,4,6,7}:{(17,1),(18,1),(39,1)}
        28:{3,4,5,7}:{(18,1),(38,1),(39,1),(40,1),(70,1)}
        29:{1,3,5,6}:{(19,1),(32,1),(42,1)}
        30:{1,2,4,5,6}:{(20,1),(21,1),(43,1),(54,1),(74,1),(83,1)}
        31:{2,3,5,7}:{(21,1),(23,1),(43,1),(45,1)}
        32:{1,3,5,7}:{(22,1),(24,1),(29,1),(47,1)}
        33:{1,2,3,6,7}:{(23,1),(44,1),(48,1),(101,1)}
        34:{2,3,4,6,7}:{(23,1),(26,1),(45,1),(48,1),(49,1),(52,1),(78,1)}
        35:{1,2,3,6,7}:{(24,1),(46,1),(50,1),(102,1)}
        36:{1,3,4,6,7}:{(24,1),(27,1),(47,1),(50,1),(51,1),(52,1),(81,1)}
        37:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(52,1),(53,1),(103,1),(104,1)}
        38:{2,4,5,7}:{(26,1),(28,1),(49,1),(54,1)}
        39:{1,4,5,7}:{(27,1),(28,1),(51,1),(55,1)}
        40:{3,4,5,6}:{(28,1),(54,1),(55,1),(87,1)}
        41:{1,2,3,5,6}:{(29,1),(46,1),(56,1),(85,1),(88,1),(102,1)}
        42:{1,3,4,6}:{(29,1),(47,1),(56,1),(57,1)}
        43:{2,3,5,6}:{(30,1),(31,1),(59,1)}
        44:{1,2,3,5,7}:{(31,1),(33,1),(58,1),(60,1),(65,1),(91,1)}
        45:{2,3,4,7}:{(31,1),(59,1),(60,1)}
        46:{1,2,3,5,7}:{(32,1),(35,1),(41,1),(62,1),(68,1),(93,1)}
        47:{1,3,4,7}:{(32,1),(42,1),(62,1)}
        48:{1,2,4,6,7}:{(33,1),(34,1),(60,1),(64,1),(65,1),(92,1)}
        49:{2,3,5,7}:{(34,1),(38,1),(65,1),(66,1),(70,1)}
        50:{1,2,4,6,7}:{(35,1),(36,1),(62,1),(67,1),(68,1),(94,1)}
        51:{1,3,5,7}:{(36,1),(39,1),(68,1),(69,1),(70,1)}
        52:{3,4,6,7}:{(37,1),(70,1),(99,1)}
        53:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(65,1),(68,1),(70,1),(71,1),(95,1),(97,1)}
        54:{2,4,5,6}:{(38,1),(40,1),(66,1)}
        55:{1,4,5,6}:{(39,1),(40,1),(69,1)}
        56:{1,2,4,6}:{(41,1),(42,1),(62,1),(72,1),(73,1)}
        57:{1,3,4,5}:{(42,1),(73,1)}
        58:{1,2,3,5,6}:{(43,1),(44,1),(74,1),(83,1),(100,1),(101,1)}
        59:{2,3,4,6}:{(43,1),(45,1),(74,1),(75,1)}
        60:{1,2,4,7}:{(44,1),(45,1),(74,1),(76,1)}
        61:{2,3,4,5,7}:{(45,1),(49,1),(75,1),(77,1),(78,1),(86,1)}
        62:{1,2,4,7}:{(46,1),(47,1),(56,1),(79,1)}
        63:{1,3,4,5,7}:{(47,1),(51,1),(57,1),(80,1),(81,1),(86,1)}
        64:{1,3,4,6,7}:{(48,1),(52,1),(76,1),(82,1),(101,1),(103,1)}
        65:{1,2,5,7}:{(48,1),(49,1),(82,1),(83,1)}
        66:{2,3,5,6}:{(49,1),(54,1),(78,1),(83,1),(87,1)}
        67:{2,3,4,6,7}:{(50,1),(52,1),(79,1),(84,1),(102,1),(104,1)}
        68:{1,2,5,7}:{(50,1),(51,1),(84,1),(85,1)}
        69:{1,3,5,6}:{(51,1),(55,1),(81,1),(85,1),(87,1)}
        70:{3,5,7}:{(52,1),(53,1),(87,1)}
        71:{1,2,4,5,6}:{(53,1),(54,1),(55,1),(83,1),(85,1),(87,1),(103,1),(104,1)}
        72:{2,3,4,6}:{(56,1),(79,1),(88,1),(102,1)}
        73:{1,2,4,5}:{(56,1),(57,1),(88,1)}
        74:{1,2,4,6}:{(58,1),(59,1),(60,1),(89,1),(90,1)}
        75:{2,3,4,5}:{(59,1),(90,1)}
        76:{1,3,4,7}:{(60,1),(89,1),(91,1)}
        77:{1,2,4,5,7}:{(60,1),(61,1),(65,1),(90,1),(91,1),(92,1),(95,1)}
        78:{2,3,4,6}:{(61,1),(66,1),(92,1),(99,1)}
        79:{2,3,4,7}:{(62,1),(72,1),(93,1)}
        80:{1,2,4,5,7}:{(62,1),(63,1),(68,1),(73,1),(93,1),(94,1),(97,1)}
        81:{1,3,4,6}:{(63,1),(69,1),(94,1),(99,1)}
        82:{1,3,5,7}:{(64,1),(65,1),(70,1),(95,1),(96,1)}
        83:{1,2,5,6}:{(65,1),(66,1),(92,1),(96,1)}
        84:{2,3,5,7}:{(67,1),(68,1),(70,1),(97,1),(98,1)}
        85:{1,2,5,6}:{(68,1),(69,1),(94,1),(98,1)}
        86:{3,4,5,7}:{(70,1),(95,1),(97,1),(99,1)}
        87:{3,5,6}:{(70,1),(71,1),(99,1)}
        88:{2,3,5}:{(72,1),(73,1)}
        89:{1,3,4,6}:{(74,1),(76,1),(100,1),(101,1)}
        90:{1,2,4,5}:{(74,1),(75,1),(100,1)}
        91:{1,3,5,7}:{(76,1),(77,1),(100,1),(101,1)}
        92:{1,2,4,6}:{(77,1),(78,1),(83,1),(101,1),(103,1)}
        93:{2,3,5,7}:{(79,1),(80,1),(88,1),(102,1)}
        94:{1,2,4,6}:{(80,1),(81,1),(85,1),(102,1),(104,1)}
        95:{1,4,5,7}:{(82,1),(86,1),(103,1)}
        96:{1,3,5,6}:{(82,1),(83,1),(87,1),(101,1),(103,1)}
        97:{2,4,5,7}:{(84,1),(86,1),(104,1)}
        98:{2,3,5,6}:{(84,1),(85,1),(87,1),(102,1),(104,1)}
        99:{3,4,6}:{(86,1),(87,1),(103,1),(104,1)}
       100:{1,3,5}:{(89,1),(90,1)}
       101:{1,3,6}:{(91,1),(92,1)}
       102:{2,3,6}:{(93,1),(94,1)}
       103:{1,4,6}:{(95,1),(96,1),(99,1)}
       104:{2,4,6}:{(97,1),(98,1),(99,1)}

1490 :   0:{1,4,5,6,7}:{(1,1),(8,1),(195,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(4,1),(202,1)}
         2:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(32,1),(193,1)}
         3:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(27,1),(32,1),(163,1)}
         4:{2,5,6,7}:{(1,1),(9,1),(206,1)}
         5:{3,4,5,6}:{(7,1),(11,1),(12,1),(37,1),(168,1),(193,1)}
         6:{1,3,4,5,7}:{(13,1),(14,1),(27,1),(62,1),(72,1),(75,1),(108,1),(122,1),(158,1),(162,1)}
         7:{3,4,5,7}:{(2,1),(5,1),(15,1),(16,1),(45,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(181,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(18,1),(200,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(19,1),(20,1),(43,1),(87,1),(138,1)}
        11:{1,4,5,6}:{(5,1),(15,1),(21,1),(148,1),(181,1)}
        12:{2,4,5,6}:{(5,1),(16,1),(22,1),(183,1),(200,1)}
        13:{1,3,4,6}:{(6,1),(21,1),(24,1),(53,1),(135,1),(179,1),(181,1)}
        14:{1,2,4,5,7}:{(6,1),(24,1),(25,1),(43,1),(56,1),(82,1),(93,1),(97,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(11,1),(27,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(12,1),(28,1)}
        17:{1,3,4,6,7}:{(8,1),(13,1),(27,1),(30,1),(32,1),(62,1),(65,1)}
        18:{2,3,6,7}:{(9,1),(28,1),(31,1),(32,1),(191,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(29,1),(31,1),(32,1),(33,1),(65,1),(159,1)}
        20:{2,3,5,6,7}:{(10,1),(32,1),(33,1),(60,1),(66,1),(112,1)}
        21:{1,3,5,6}:{(11,1),(13,1),(27,1),(35,1),(37,1),(113,1),(122,1)}
        22:{2,3,5,6}:{(12,1),(28,1),(34,1),(36,1),(37,1),(165,1),(191,1)}
        23:{1,2,4,5,6}:{(11,1),(12,1),(29,1),(35,1),(36,1),(37,1),(67,1),(70,1),(71,1),(113,1),(118,1),(159,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(35,1),(38,1),(70,1)}
        25:{2,3,5,7}:{(14,1),(38,1),(40,1),(74,1),(158,1)}
        26:{2,3,4,5}:{(34,1),(41,1),(72,1),(127,1),(165,1)}
        27:{1,3,5,7}:{(15,1),(17,1),(21,1),(43,1),(45,1),(87,1)}
        28:{2,3,5,7}:{(16,1),(18,1),(22,1),(42,1),(44,1),(45,1)}
        29:{1,2,4,5,7}:{(15,1),(16,1),(19,1),(23,1),(43,1),(44,1),(45,1),(49,1),(82,1),(83,1),(87,1)}
        30:{1,2,4,6,7}:{(17,1),(24,1),(43,1),(46,1),(82,1)}
        31:{1,2,6,7}:{(18,1),(44,1),(47,1),(176,1)}
        32:{3,6,7}:{(19,1),(45,1),(179,1)}
        33:{2,4,6,7}:{(20,1),(48,1),(49,1),(82,1),(134,1)}
        34:{2,3,4,6}:{(22,1),(26,1),(42,1),(50,1),(53,1)}
        35:{1,2,5,6}:{(21,1),(24,1),(43,1),(51,1),(97,1)}
        36:{1,2,5,6}:{(22,1),(44,1),(50,1),(52,1),(142,1),(176,1)}
        37:{3,5,6}:{(23,1),(45,1),(53,1),(144,1),(179,1)}
        38:{2,3,6}:{(24,1),(25,1),(179,1)}
        39:{1,2,3,5,7}:{(25,1),(54,1),(56,1),(97,1),(99,1)}
        40:{2,3,4,7}:{(25,1),(55,1),(56,1),(82,1),(132,1)}
        41:{1,2,4,5}:{(26,1),(50,1),(58,1),(94,1),(102,1),(142,1)}
        42:{2,3,4,7}:{(28,1),(34,1),(59,1),(62,1)}
        43:{1,2,5,7}:{(27,1),(30,1),(35,1),(60,1)}
        44:{1,2,5,7}:{(28,1),(31,1),(36,1),(59,1),(61,1)}
        45:{3,5,7}:{(29,1),(32,1),(37,1),(62,1)}
        46:{2,3,6,7}:{(30,1),(32,1),(38,1),(60,1)}
        47:{1,3,6,7}:{(31,1),(32,1),(61,1),(65,1),(157,1)}
        48:{3,4,6,7}:{(32,1),(33,1),(62,1),(65,1),(66,1),(109,1)}
        49:{2,4,5,7}:{(33,1),(66,1),(67,1)}
        50:{1,2,4,6}:{(34,1),(36,1),(41,1),(59,1),(68,1),(71,1)}
        51:{2,3,5,6}:{(35,1),(37,1),(38,1),(60,1),(70,1),(74,1)}
        52:{1,3,5,6}:{(36,1),(37,1),(61,1),(68,1),(71,1),(113,1),(116,1),(157,1)}
        53:{3,4,6}:{(37,1),(62,1),(70,1),(71,1),(72,1)}
        54:{1,2,3,6}:{(38,1),(39,1),(73,1),(125,1)}
        55:{2,3,4,6}:{(38,1),(40,1),(70,1),(73,1),(74,1),(117,1)}
        56:{1,2,4,7}:{(39,1),(40,1),(73,1),(75,1)}
        57:{2,3,4,5,7}:{(40,1),(74,1),(76,1),(77,1),(107,1),(124,1),(158,1),(168,1),(190,1),(199,1)}
        58:{1,3,5}:{(41,1),(68,1),(79,1)}
        59:{1,2,4,7}:{(42,1),(44,1),(50,1),(80,1),(83,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(46,1),(51,1),(82,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(47,1),(52,1),(80,1),(83,1),(87,1)}
        62:{3,4,7}:{(45,1),(53,1),(82,1),(83,1)}
        63:{1,2,3,6,7}:{(46,1),(47,1),(54,1),(81,1),(85,1),(151,1),(176,1),(179,1),(201,1)}
        64:{2,3,4,6,7}:{(46,1),(48,1),(55,1),(82,1),(85,1),(86,1),(132,1),(134,1),(179,1)}
        65:{1,4,6,7}:{(47,1),(48,1),(83,1),(87,1),(135,1)}
        66:{3,5,7}:{(48,1),(49,1),(87,1),(88,1)}
        67:{2,4,5,6}:{(49,1),(88,1),(134,1)}
        68:{1,3,6}:{(50,1),(58,1),(80,1)}
        69:{1,2,3,5,6}:{(51,1),(52,1),(54,1),(81,1),(90,1),(92,1),(97,1),(138,1),(142,1),(144,1),(149,1),(176,1),(179,1),(184,1)}
        70:{2,4,6}:{(51,1),(53,1),(82,1),(93,1)}
        71:{1,4,6}:{(52,1),(53,1),(83,1),(94,1)}
        72:{3,4,5}:{(53,1),(93,1),(94,1),(144,1)}
        73:{1,2,4,6}:{(54,1),(55,1),(56,1),(96,1),(97,1)}
        74:{2,3,5}:{(55,1),(93,1),(97,1),(144,1)}
        75:{1,3,4,7}:{(56,1),(96,1),(99,1),(132,1),(188,1)}
        76:{1,2,4,5,7}:{(56,1),(57,1),(97,1),(99,1),(100,1),(148,1),(150,1),(188,1)}
        77:{2,3,4,6}:{(57,1),(98,1),(100,1),(134,1),(179,1),(186,1),(200,1)}
        78:{1,2,3,5}:{(58,1),(90,1),(102,1),(142,1),(152,1)}
        79:{1,3,4}:{(58,1),(102,1)}
        80:{1,3,7}:{(59,1),(68,1)}
        81:{1,2,3,5,7}:{(60,1),(61,1),(63,1),(69,1),(104,1),(106,1),(111,1),(156,1),(158,1),(172,1),(198,1)}
        82:{2,4,7}:{(60,1),(62,1),(70,1)}
        83:{1,4,7}:{(61,1),(62,1),(71,1)}
        84:{3,4,5,7}:{(62,1),(66,1),(72,1),(107,1),(108,1),(109,1),(158,1)}
        85:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(73,1),(106,1),(110,1),(111,1),(159,1),(207,1)}
        86:{2,3,5,7}:{(64,1),(66,1),(74,1),(107,1),(111,1),(112,1),(158,1)}
        87:{1,5,7}:{(65,1),(66,1),(113,1)}
        88:{3,5,6}:{(66,1),(67,1),(109,1),(113,1)}
        89:{2,4,5,6,7}:{(67,1),(114,1),(160,1)}
        90:{1,2,3,6}:{(68,1),(78,1),(104,1),(115,1),(173,1)}
        91:{1,3,4,6}:{(68,1),(71,1),(79,1),(105,1),(115,1),(116,1),(117,1),(157,1)}
        92:{1,2,4,6}:{(69,1),(70,1),(71,1),(106,1),(117,1),(118,1),(171,1),(197,1)}
        93:{2,4,5}:{(70,1),(72,1),(74,1)}
        94:{1,4,5}:{(71,1),(72,1),(116,1)}
        95:{3,4,5,6}:{(72,1),(109,1),(119,1),(120,1),(121,1),(169,1)}
        96:{1,3,4,6}:{(73,1),(75,1),(117,1),(122,1),(125,1),(171,1)}
        97:{1,2,5}:{(73,1),(74,1),(122,1)}
        98:{2,3,5,6}:{(74,1),(77,1),(119,1),(123,1),(124,1),(169,1),(206,1)}
        99:{1,3,5,7}:{(75,1),(76,1),(122,1),(125,1),(158,1)}
       100:{1,2,4,6}:{(76,1),(77,1),(123,1),(125,1),(171,1)}
       101:{2,3,4,6,7}:{(77,1),(124,1),(126,1),(160,1),(194,1),(199,1),(207,1)}
       102:{1,2,4}:{(78,1),(79,1),(127,1)}
       103:{1,3,4,5}:{(79,1),(116,1),(128,1),(129,1),(168,1)}
       104:{1,2,3,7}:{(80,1),(90,1),(130,1),(189,1)}
       105:{1,3,4,7}:{(80,1),(83,1),(91,1),(130,1),(131,1),(132,1)}
       106:{1,2,4,7}:{(81,1),(82,1),(83,1),(92,1),(132,1),(188,1),(205,1)}
       107:{2,4,5,7}:{(82,1),(84,1),(86,1),(93,1),(134,1)}
       108:{1,4,5,7}:{(83,1),(84,1),(87,1),(94,1),(131,1),(135,1)}
       109:{3,4,6}:{(84,1),(88,1),(134,1),(135,1),(179,1)}
       110:{1,3,4,6,7}:{(85,1),(96,1),(132,1),(137,1),(151,1),(179,1),(181,1),(188,1),(203,1)}
       111:{1,2,5,7}:{(85,1),(86,1),(87,1),(97,1),(137,1),(138,1),(209,1)}
       112:{2,3,5,6}:{(86,1),(88,1),(134,1),(138,1),(179,1)}
       113:{1,5,6}:{(87,1),(88,1),(135,1)}
       114:{3,5,6,7}:{(88,1),(89,1),(136,1),(140,1)}
       115:{1,2,4,6}:{(90,1),(91,1),(102,1),(130,1),(141,1),(142,1),(176,1)}
       116:{1,3,5}:{(91,1),(94,1),(142,1),(144,1)}
       117:{3,4,6}:{(92,1),(132,1),(144,1),(179,1)}
       118:{1,2,4,5}:{(92,1),(93,1),(94,1),(97,1),(142,1),(144,1),(148,1),(183,1)}
       119:{2,4,5,6}:{(93,1),(95,1),(98,1),(134,1),(146,1)}
       120:{1,4,5,6}:{(94,1),(95,1),(135,1),(143,1),(147,1)}
       121:{3,4,5,7}:{(95,1),(136,1),(146,1),(147,1),(187,1)}
       122:{1,3,5}:{(96,1),(97,1),(144,1),(148,1)}
       123:{1,2,5,6}:{(97,1),(98,1),(100,1),(149,1),(150,1)}
       124:{2,3,5,7}:{(98,1),(101,1),(146,1),(150,1),(187,1),(209,1)}
       125:{1,3,6}:{(99,1),(100,1),(179,1)}
       126:{1,2,4,6,7}:{(100,1),(101,1),(150,1),(151,1),(188,1)}
       127:{2,3,4}:{(102,1),(152,1)}
       128:{1,2,4,5}:{(102,1),(103,1),(142,1),(152,1),(153,1),(183,1)}
       129:{1,3,4,6}:{(103,1),(143,1),(153,1),(154,1),(186,1)}
       130:{1,2,4,7}:{(104,1),(105,1),(115,1),(155,1),(156,1)}
       131:{1,3,5,7}:{(105,1),(108,1),(116,1),(156,1),(157,1),(158,1)}
       132:{3,4,7}:{(106,1),(117,1),(158,1)}
       133:{1,2,4,5,7}:{(106,1),(107,1),(108,1),(111,1),(118,1),(156,1),(158,1),(159,1),(162,1),(190,1)}
       134:{2,4,6}:{(107,1),(109,1),(112,1)}
       135:{1,4,6}:{(108,1),(109,1),(113,1),(157,1)}
       136:{3,4,6,7}:{(109,1),(114,1),(121,1),(160,1),(161,1),(194,1)}
       137:{1,3,5,7}:{(110,1),(111,1),(122,1),(158,1),(162,1),(163,1),(208,1)}
       138:{1,2,5,6}:{(111,1),(112,1),(113,1),(159,1),(163,1),(206,1)}
       139:{2,3,5,6,7}:{(112,1),(114,1),(124,1),(160,1),(164,1),(194,1)}
       140:{1,5,6,7}:{(113,1),(114,1),(161,1)}
       141:{2,3,4,6}:{(115,1),(117,1),(127,1),(155,1),(165,1),(173,1),(191,1),(197,1)}
       142:{1,2,5}:{(115,1),(116,1),(165,1)}
       143:{1,3,5,6}:{(116,1),(120,1),(129,1),(157,1),(166,1),(167,1),(169,1)}
       144:{3,5}:{(117,1),(118,1)}
       145:{1,2,4,5,6}:{(118,1),(119,1),(120,1),(123,1),(159,1),(166,1),(169,1),(170,1),(171,1),(195,1),(197,1),(206,1)}
       146:{2,4,5,7}:{(119,1),(121,1),(124,1),(160,1)}
       147:{1,4,5,7}:{(120,1),(121,1),(161,1),(167,1)}
       148:{1,4,5}:{(122,1),(168,1),(171,1)}
       149:{1,3,5,6}:{(122,1),(123,1),(125,1),(169,1),(171,1),(172,1)}
       150:{1,2,5,7}:{(123,1),(124,1),(126,1),(172,1)}
       151:{1,3,6,7}:{(125,1),(126,1),(172,1),(194,1)}
       152:{2,3,5}:{(127,1),(128,1),(173,1)}
       153:{1,2,4,6}:{(128,1),(129,1),(166,1),(173,1),(174,1),(197,1)}
       154:{1,3,4,7}:{(129,1),(167,1),(174,1),(199,1)}
       155:{2,3,4,7}:{(130,1),(132,1),(141,1),(175,1),(189,1),(205,1)}
       156:{1,2,5,7}:{(130,1),(131,1),(142,1),(175,1),(176,1)}
       157:{1,3,6}:{(131,1),(135,1),(176,1),(179,1)}
       158:{3,5,7}:{(132,1),(133,1),(144,1),(179,1)}
       159:{1,2,4,6}:{(133,1),(134,1),(135,1),(138,1),(176,1),(179,1),(181,1),(200,1)}
       160:{2,4,6,7}:{(134,1),(136,1),(139,1),(146,1)}
       161:{1,4,6,7}:{(135,1),(136,1),(140,1),(147,1),(177,1)}
       162:{1,4,5,7}:{(137,1),(148,1),(178,1),(181,1),(188,1)}
       163:{1,3,5,6}:{(137,1),(138,1),(179,1),(181,1),(202,1)}
       164:{1,2,5,6,7}:{(138,1),(139,1),(140,1),(150,1),(180,1),(182,1),(209,1)}
       165:{2,3,5}:{(141,1),(142,1),(144,1),(183,1)}
       166:{1,2,5,6}:{(142,1),(143,1),(153,1),(176,1),(184,1),(185,1)}
       167:{1,3,5,7}:{(143,1),(147,1),(154,1),(177,1),(185,1),(187,1)}
       168:{3,4,5}:{(144,1),(148,1),(183,1),(186,1)}
       169:{3,5,6}:{(144,1),(145,1),(179,1),(186,1),(187,1)}
       170:{1,2,4,5,7}:{(145,1),(146,1),(147,1),(150,1),(180,1),(185,1),(187,1),(188,1),(204,1),(205,1),(209,1)}
       171:{1,4,6}:{(148,1),(149,1),(186,1),(188,1)}
       172:{1,3,5,7}:{(149,1),(150,1),(151,1),(187,1),(188,1)}
       173:{2,3,6}:{(152,1),(153,1),(189,1)}
       174:{1,2,4,7}:{(153,1),(154,1),(185,1),(189,1),(205,1)}
       175:{2,3,5,7}:{(155,1),(156,1),(158,1),(165,1),(190,1),(191,1)}
       176:{1,2,6}:{(156,1),(157,1),(191,1)}
       177:{1,3,6,7}:{(157,1),(161,1),(167,1),(192,1),(194,1)}
       178:{3,4,5,7}:{(158,1),(162,1),(168,1),(190,1),(193,1),(199,1),(208,1)}
       179:{3,6}:{(158,1),(159,1)}
       180:{1,2,4,6,7}:{(159,1),(160,1),(161,1),(164,1),(170,1),(192,1),(194,1),(196,1),(207,1)}
       181:{1,4,6}:{(162,1),(163,1),(193,1)}
       182:{1,3,5,6,7}:{(163,1),(164,1),(172,1),(194,1),(196,1),(208,1)}
       183:{2,4,5}:{(165,1),(168,1),(197,1)}
       184:{2,3,5,6}:{(165,1),(166,1),(169,1),(173,1),(191,1),(197,1),(198,1),(206,1)}
       185:{1,2,5,7}:{(166,1),(167,1),(174,1),(192,1),(198,1)}
       186:{3,4,6}:{(168,1),(169,1),(171,1),(197,1),(199,1)}
       187:{3,5,7}:{(169,1),(170,1),(194,1),(199,1)}
       188:{1,4,7}:{(171,1),(172,1),(199,1)}
       189:{2,3,7}:{(173,1),(174,1)}
       190:{2,4,5,7}:{(175,1),(178,1),(183,1),(200,1),(205,1),(209,1)}
       191:{2,3,6}:{(175,1),(176,1),(179,1),(200,1)}
       192:{1,2,6,7}:{(176,1),(177,1),(185,1),(201,1)}
       193:{3,4,6}:{(178,1),(179,1),(181,1),(200,1),(202,1)}
       194:{3,6,7}:{(179,1),(180,1),(187,1)}
       195:{1,4,5,6}:{(181,1),(202,1),(204,1)}
       196:{1,4,6,7}:{(181,1),(182,1),(188,1),(203,1),(204,1)}
       197:{2,4,6}:{(183,1),(184,1),(186,1),(205,1)}
       198:{2,3,5,7}:{(184,1),(185,1),(187,1),(189,1),(201,1),(205,1),(209,1)}
       199:{3,4,7}:{(186,1),(187,1),(188,1),(205,1)}
       200:{2,4,6}:{(190,1),(191,1),(193,1),(206,1)}
       201:{2,3,6,7}:{(191,1),(192,1),(194,1),(198,1),(207,1)}
       202:{3,5,6}:{(193,1),(195,1),(206,1),(208,1)}
       203:{3,4,6,7}:{(193,1),(194,1),(196,1),(199,1),(207,1),(208,1)}
       204:{1,4,5,7}:{(195,1),(196,1),(208,1)}
       205:{2,4,7}:{(197,1),(198,1),(199,1)}
       206:{2,5,6}:{(200,1),(202,1),(209,1)}
       207:{2,4,6,7}:{(200,1),(201,1),(203,1),(205,1),(209,1)}
       208:{3,5,7}:{(202,1),(203,1),(204,1),(209,1)}
       209:{2,5,7}:{(206,1),(207,1),(208,1)}

1491 :   0:{1,3,4,5,7}:{(1,1),(2,1),(8,1),(34,1),(72,1),(76,1),(83,1),(119,1),(122,1),(127,1)}
         1:{1,2,4,5,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(50,1),(56,1),(60,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(6,1),(61,1),(145,1),(148,1),(153,1)}
         3:{1,3,4,6,7}:{(2,1),(7,1),(8,1),(27,1),(65,1),(72,1),(116,1)}
         4:{2,3,5,7}:{(1,1),(10,1),(11,1),(39,1),(122,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(40,1)}
         6:{1,3,5,6}:{(2,1),(8,1),(12,1),(13,1),(41,1),(76,1),(167,1)}
         7:{1,2,4,6,7}:{(3,1),(5,1),(16,1),(17,1),(50,1)}
         8:{1,3,5,7}:{(3,1),(6,1),(17,1),(18,1),(51,1),(143,1)}
         9:{1,2,3,5,7}:{(4,1),(19,1),(20,1),(53,1),(56,1)}
        10:{2,3,4,7}:{(4,1),(19,1),(22,1),(50,1),(94,1)}
        11:{2,3,6}:{(4,1),(5,1),(148,1)}
        12:{1,2,5,6}:{(5,1),(6,1),(17,1),(23,1),(56,1)}
        13:{1,4,5,6}:{(6,1),(18,1),(25,1),(103,1),(145,1)}
        14:{1,3,5,6,7}:{(8,1),(26,1),(27,1),(28,1),(65,1),(118,1)}
        15:{1,4,5,6,7}:{(27,1),(28,1),(168,1)}
        16:{2,3,6,7}:{(7,1),(11,1),(31,1),(65,1)}
        17:{1,2,5,7}:{(7,1),(8,1),(12,1),(31,1)}
        18:{1,4,5,7}:{(8,1),(13,1),(27,1),(33,1)}
        19:{1,2,4,7}:{(9,1),(10,1),(34,1),(36,1)}
        20:{1,2,3,6}:{(9,1),(11,1),(36,1),(75,1)}
        21:{2,3,4,5,7}:{(10,1),(35,1),(38,1),(39,1),(71,1),(81,1),(122,1),(131,1),(171,1),(178,1)}
        22:{2,3,4,6}:{(10,1),(11,1),(36,1),(39,1),(40,1),(80,1)}
        23:{2,3,5,6}:{(11,1),(12,1),(31,1),(39,1),(40,1),(41,1)}
        24:{1,2,4,5,6}:{(12,1),(13,1),(32,1),(40,1),(41,1),(42,1),(79,1),(84,1),(86,1),(114,1),(121,1),(167,1)}
        25:{3,4,5,6}:{(13,1),(33,1),(41,1),(42,1),(131,1),(170,1)}
        26:{1,2,5,6,7}:{(14,1),(17,1),(43,1),(44,1),(46,1),(92,1),(143,1)}
        27:{1,4,6,7}:{(14,1),(18,1),(45,1),(145,1)}
        28:{3,5,6,7}:{(15,1),(45,1),(46,1),(189,1)}
        29:{1,2,3,6,7}:{(16,1),(20,1),(47,1),(48,1),(89,1),(101,1),(148,1),(193,1),(194,1)}
        30:{2,3,4,6,7}:{(16,1),(22,1),(47,1),(49,1),(50,1),(88,1),(94,1),(96,1),(148,1)}
        31:{2,3,5,7}:{(16,1),(17,1),(23,1),(50,1),(51,1)}
        32:{1,2,4,5,7}:{(17,1),(18,1),(24,1),(44,1),(50,1),(51,1),(52,1),(87,1),(98,1),(100,1),(143,1)}
        33:{3,4,5,7}:{(18,1),(25,1),(45,1),(51,1),(52,1)}
        34:{1,3,4,7}:{(19,1),(53,1),(54,1),(94,1),(155,1)}
        35:{1,2,4,5,7}:{(19,1),(21,1),(53,1),(55,1),(56,1),(103,1),(104,1),(155,1)}
        36:{1,2,4,6}:{(19,1),(20,1),(22,1),(54,1),(56,1)}
        37:{1,2,3,5,6}:{(20,1),(23,1),(48,1),(56,1),(57,1),(62,1),(92,1),(102,1),(106,1),(148,1),(161,1),(162,1),(163,1),(194,1)}
        38:{2,3,4,6}:{(21,1),(55,1),(59,1),(96,1),(148,1),(156,1),(191,1)}
        39:{2,3,5}:{(22,1),(56,1),(60,1),(106,1)}
        40:{2,4,6}:{(23,1),(50,1),(60,1),(61,1)}
        41:{3,5,6}:{(24,1),(51,1),(61,1),(106,1),(148,1)}
        42:{2,4,5,6}:{(25,1),(52,1),(63,1),(158,1),(191,1)}
        43:{2,3,5,6,7}:{(26,1),(31,1),(64,1),(65,1),(70,1),(115,1)}
        44:{1,2,4,6,7}:{(26,1),(27,1),(32,1),(64,1),(65,1),(66,1),(116,1),(117,1),(121,1)}
        45:{3,4,6,7}:{(27,1),(28,1),(33,1),(65,1),(66,1),(170,1)}
        46:{2,5,6,7}:{(28,1),(66,1),(202,1)}
        47:{1,2,4,6,7}:{(29,1),(30,1),(36,1),(67,1),(68,1),(69,1),(116,1),(121,1),(203,1)}
        48:{1,2,3,5,7}:{(29,1),(31,1),(37,1),(68,1),(69,1),(73,1),(122,1),(129,1),(175,1),(176,1),(183,1)}
        49:{2,3,5,7}:{(30,1),(39,1),(68,1),(70,1),(71,1),(115,1),(122,1)}
        50:{2,4,7}:{(31,1),(40,1),(72,1)}
        51:{3,5,7}:{(32,1),(41,1),(65,1),(72,1)}
        52:{2,4,5,7}:{(33,1),(42,1),(66,1),(74,1)}
        53:{1,3,5,7}:{(34,1),(35,1),(75,1),(76,1),(122,1)}
        54:{1,3,4,6}:{(34,1),(36,1),(75,1),(76,1),(80,1),(130,1)}
        55:{1,2,4,6}:{(35,1),(38,1),(75,1),(78,1),(130,1)}
        56:{1,2,5}:{(36,1),(39,1),(76,1)}
        57:{1,2,4,6}:{(37,1),(40,1),(69,1),(79,1),(80,1),(84,1),(130,1),(180,1)}
        58:{2,3,4,6,7}:{(38,1),(77,1),(81,1),(125,1),(172,1),(178,1),(203,1)}
        59:{2,3,5,6}:{(38,1),(39,1),(78,1),(81,1),(82,1),(133,1),(202,1)}
        60:{2,4,5}:{(39,1),(40,1),(83,1)}
        61:{3,4,6}:{(40,1),(41,1),(72,1),(83,1),(84,1)}
        62:{1,3,5,6}:{(41,1),(73,1),(84,1),(86,1),(134,1),(140,1),(167,1),(173,1)}
        63:{2,3,5,6}:{(41,1),(42,1),(74,1),(85,1),(86,1),(135,1),(174,1)}
        64:{2,4,6,7}:{(43,1),(50,1),(87,1),(88,1),(96,1)}
        65:{3,6,7}:{(44,1),(51,1),(148,1)}
        66:{2,4,6,7}:{(45,1),(46,1),(52,1),(90,1),(191,1)}
        67:{1,3,4,6,7}:{(47,1),(54,1),(91,1),(94,1),(101,1),(145,1),(148,1),(155,1),(190,1)}
        68:{1,2,5,7}:{(47,1),(49,1),(56,1),(91,1),(92,1),(143,1),(208,1)}
        69:{1,2,4,7}:{(48,1),(50,1),(57,1),(94,1),(98,1),(155,1),(196,1)}
        70:{2,3,5,6}:{(49,1),(92,1),(96,1),(142,1),(148,1)}
        71:{2,4,5,7}:{(49,1),(50,1),(60,1),(96,1),(97,1)}
        72:{3,4,7}:{(50,1),(51,1),(61,1),(98,1)}
        73:{1,3,5,7}:{(51,1),(62,1),(89,1),(98,1),(100,1),(143,1),(154,1)}
        74:{2,3,5,7}:{(51,1),(52,1),(63,1),(90,1),(99,1),(100,1)}
        75:{1,3,6}:{(53,1),(55,1),(148,1)}
        76:{1,3,5}:{(54,1),(56,1),(103,1),(106,1)}
        77:{1,2,4,6,7}:{(55,1),(58,1),(101,1),(104,1),(155,1)}
        78:{1,2,5,6}:{(55,1),(56,1),(59,1),(102,1),(104,1)}
        79:{1,2,4,5}:{(56,1),(57,1),(60,1),(103,1),(106,1),(111,1),(158,1),(162,1)}
        80:{3,4,6}:{(57,1),(94,1),(106,1),(148,1)}
        81:{2,3,5,7}:{(58,1),(59,1),(104,1),(109,1),(159,1),(208,1)}
        82:{2,4,5,6}:{(59,1),(60,1),(96,1),(109,1),(110,1)}
        83:{3,4,5}:{(60,1),(61,1),(106,1),(111,1)}
        84:{1,4,6}:{(61,1),(62,1),(98,1),(111,1)}
        85:{2,3,4,6}:{(61,1),(63,1),(99,1),(112,1),(113,1)}
        86:{1,2,5,6}:{(62,1),(63,1),(100,1),(113,1),(162,1),(194,1)}
        87:{2,4,5,7}:{(64,1),(114,1),(115,1)}
        88:{3,4,6,7}:{(64,1),(65,1),(72,1),(115,1),(116,1),(126,1)}
        89:{1,3,6,7}:{(65,1),(73,1),(116,1),(117,1),(173,1)}
        90:{2,3,6,7}:{(65,1),(66,1),(74,1),(117,1),(174,1)}
        91:{1,3,5,7}:{(67,1),(68,1),(76,1),(118,1),(119,1),(122,1),(201,1)}
        92:{1,2,5,6}:{(68,1),(70,1),(118,1),(121,1),(167,1),(202,1)}
        93:{1,2,4,5,7}:{(68,1),(69,1),(71,1),(79,1),(119,1),(121,1),(122,1),(127,1),(171,1),(175,1)}
        94:{3,4,7}:{(69,1),(80,1),(122,1)}
        95:{2,3,5,6,7}:{(70,1),(81,1),(120,1),(125,1),(166,1),(172,1)}
        96:{2,4,6}:{(70,1),(71,1),(126,1)}
        97:{3,4,5,7}:{(71,1),(72,1),(83,1),(115,1),(122,1),(126,1),(127,1)}
        98:{1,4,7}:{(72,1),(73,1),(84,1)}
        99:{2,3,4,7}:{(72,1),(74,1),(85,1),(128,1)}
       100:{1,2,5,7}:{(73,1),(74,1),(86,1),(117,1),(128,1)}
       101:{1,3,6,7}:{(75,1),(77,1),(129,1),(172,1)}
       102:{1,3,5,6}:{(75,1),(76,1),(78,1),(129,1),(130,1),(133,1)}
       103:{1,4,5}:{(76,1),(130,1),(131,1)}
       104:{1,2,5,7}:{(77,1),(78,1),(81,1),(129,1)}
       105:{1,2,4,5,6}:{(78,1),(79,1),(82,1),(121,1),(130,1),(132,1),(133,1),(138,1),(168,1),(180,1),(184,1),(202,1)}
       106:{3,5}:{(79,1),(80,1)}
       107:{1,3,4,6}:{(80,1),(84,1),(123,1),(134,1),(136,1),(140,1),(173,1),(186,1)}
       108:{2,3,4,6}:{(80,1),(124,1),(135,1),(136,1),(174,1),(180,1),(206,1),(207,1)}
       109:{2,4,5,7}:{(81,1),(82,1),(125,1),(137,1)}
       110:{3,4,5,6}:{(82,1),(83,1),(126,1),(133,1),(137,1),(138,1)}
       111:{1,4,5}:{(83,1),(84,1),(134,1)}
       112:{2,3,4,5}:{(83,1),(85,1),(135,1),(139,1),(207,1)}
       113:{1,2,4,6}:{(84,1),(85,1),(86,1),(128,1),(139,1),(140,1)}
       114:{2,4,5,6}:{(87,1),(96,1),(142,1)}
       115:{3,5,7}:{(87,1),(88,1),(142,1),(143,1)}
       116:{1,4,6,7}:{(88,1),(89,1),(98,1),(143,1),(153,1)}
       117:{1,2,6,7}:{(89,1),(90,1),(100,1),(194,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(145,1),(148,1),(189,1)}
       119:{1,4,5,7}:{(91,1),(103,1),(145,1),(146,1),(155,1)}
       120:{1,2,5,6,7}:{(92,1),(95,1),(104,1),(144,1),(147,1),(187,1),(208,1)}
       121:{1,2,4,6}:{(92,1),(93,1),(96,1),(145,1),(148,1),(153,1),(191,1),(194,1)}
       122:{3,5,7}:{(93,1),(94,1),(106,1),(148,1)}
       123:{1,3,4,7}:{(94,1),(98,1),(107,1),(149,1),(151,1),(154,1)}
       124:{2,3,4,7}:{(94,1),(108,1),(150,1),(151,1),(196,1),(209,1)}
       125:{2,4,6,7}:{(95,1),(96,1),(109,1),(152,1)}
       126:{3,4,6}:{(96,1),(97,1),(142,1),(148,1),(153,1)}
       127:{1,4,5,7}:{(97,1),(98,1),(111,1),(143,1),(149,1),(153,1)}
       128:{1,2,4,7}:{(98,1),(99,1),(100,1),(113,1),(154,1)}
       129:{1,3,5,7}:{(101,1),(102,1),(104,1),(155,1),(159,1)}
       130:{1,4,6}:{(102,1),(103,1),(155,1),(156,1)}
       131:{3,4,5}:{(103,1),(106,1),(156,1),(158,1)}
       132:{1,2,4,5,7}:{(104,1),(105,1),(109,1),(147,1),(155,1),(159,1),(164,1),(188,1),(196,1),(199,1),(208,1)}
       133:{3,5,6}:{(105,1),(106,1),(148,1),(156,1),(159,1)}
       134:{1,3,5}:{(106,1),(107,1),(111,1),(162,1)}
       135:{2,3,5}:{(106,1),(108,1),(158,1),(162,1)}
       136:{1,2,4,6}:{(107,1),(108,1),(151,1),(162,1),(163,1),(194,1),(200,1)}
       137:{3,4,5,7}:{(109,1),(110,1),(152,1),(159,1),(164,1)}
       138:{1,4,5,6}:{(110,1),(111,1),(153,1),(160,1),(164,1)}
       139:{1,2,4,5}:{(111,1),(112,1),(113,1),(162,1),(165,1),(200,1)}
       140:{1,3,6}:{(113,1),(154,1),(165,1)}
       141:{2,4,5,6,7}:{(114,1),(125,1),(166,1)}
       142:{3,5,6}:{(114,1),(115,1),(126,1),(167,1)}
       143:{1,5,7}:{(115,1),(116,1),(167,1)}
       144:{1,3,5,6,7}:{(118,1),(120,1),(129,1),(169,1),(172,1),(201,1)}
       145:{1,4,6}:{(118,1),(119,1),(170,1)}
       146:{3,4,5,7}:{(119,1),(122,1),(131,1),(170,1),(171,1),(178,1),(201,1)}
       147:{1,2,4,6,7}:{(120,1),(121,1),(125,1),(132,1),(169,1),(172,1),(177,1),(203,1),(204,1)}
       148:{3,6}:{(121,1),(122,1)}
       149:{1,3,5,7}:{(122,1),(123,1),(127,1),(134,1),(173,1),(175,1)}
       150:{2,3,5,7}:{(122,1),(124,1),(135,1),(171,1),(174,1),(175,1)}
       151:{1,2,4,7}:{(123,1),(124,1),(136,1),(175,1),(176,1)}
       152:{3,4,6,7}:{(125,1),(126,1),(137,1),(166,1),(172,1),(177,1)}
       153:{1,4,6}:{(126,1),(127,1),(167,1),(173,1)}
       154:{1,3,7}:{(128,1),(140,1)}
       155:{1,4,7}:{(129,1),(130,1),(178,1)}
       156:{3,4,6}:{(130,1),(131,1),(133,1),(178,1),(180,1)}
       157:{1,3,4,5}:{(131,1),(134,1),(179,1),(181,1),(186,1)}
       158:{2,4,5}:{(131,1),(135,1),(180,1)}
       159:{3,5,7}:{(132,1),(133,1),(172,1),(178,1)}
       160:{1,3,5,6}:{(133,1),(134,1),(138,1),(173,1),(179,1),(182,1),(184,1)}
       161:{2,3,5,6}:{(133,1),(135,1),(174,1),(180,1),(183,1),(184,1),(202,1),(206,1)}
       162:{1,2,5}:{(134,1),(135,1),(136,1)}
       163:{1,2,3,6}:{(136,1),(140,1),(176,1),(185,1),(206,1)}
       164:{1,4,5,7}:{(137,1),(138,1),(177,1),(182,1)}
       165:{1,3,5}:{(139,1),(140,1),(186,1)}
       166:{3,5,6,7}:{(141,1),(142,1),(152,1),(187,1)}
       167:{1,5,6}:{(142,1),(143,1),(153,1)}
       168:{1,4,5,6}:{(145,1),(188,1),(189,1)}
       169:{1,4,6,7}:{(144,1),(145,1),(155,1),(188,1),(190,1)}
       170:{3,4,6}:{(145,1),(146,1),(148,1),(189,1),(191,1)}
       171:{2,4,5,7}:{(146,1),(150,1),(158,1),(191,1),(196,1),(208,1)}
       172:{3,6,7}:{(147,1),(148,1),(159,1)}
       173:{1,3,6}:{(148,1),(149,1),(153,1),(194,1)}
       174:{2,3,6}:{(148,1),(150,1),(191,1),(194,1)}
       175:{1,2,5,7}:{(149,1),(150,1),(151,1),(162,1),(194,1)}
       176:{1,2,3,7}:{(151,1),(154,1),(163,1),(209,1)}
       177:{1,4,6,7}:{(152,1),(153,1),(164,1),(187,1),(192,1)}
       178:{3,4,7}:{(155,1),(156,1),(159,1),(196,1)}
       179:{1,3,4,6}:{(156,1),(157,1),(160,1),(195,1),(197,1)}
       180:{2,4,6}:{(156,1),(158,1),(161,1),(196,1)}
       181:{1,2,4,5}:{(157,1),(158,1),(162,1),(197,1),(198,1),(200,1)}
       182:{1,3,5,7}:{(159,1),(160,1),(164,1),(192,1),(195,1),(199,1)}
       183:{2,3,5,7}:{(159,1),(161,1),(193,1),(196,1),(199,1),(208,1),(209,1)}
       184:{1,2,5,6}:{(160,1),(161,1),(162,1),(194,1),(197,1),(199,1)}
       185:{1,2,3,5}:{(162,1),(163,1),(165,1),(198,1),(200,1)}
       186:{1,3,4}:{(165,1),(200,1)}
       187:{1,5,6,7}:{(166,1),(167,1),(177,1)}
       188:{1,4,5,7}:{(168,1),(169,1),(201,1)}
       189:{3,5,6}:{(168,1),(170,1),(201,1),(202,1)}
       190:{3,4,6,7}:{(169,1),(170,1),(172,1),(178,1),(201,1),(203,1)}
       191:{2,4,6}:{(170,1),(171,1),(174,1),(202,1)}
       192:{1,3,6,7}:{(172,1),(173,1),(177,1),(182,1),(204,1)}
       193:{2,3,6,7}:{(172,1),(174,1),(183,1),(203,1),(204,1)}
       194:{1,2,6}:{(173,1),(174,1),(175,1)}
       195:{1,3,4,7}:{(178,1),(179,1),(182,1),(205,1)}
       196:{2,4,7}:{(178,1),(180,1),(183,1)}
       197:{1,2,4,6}:{(179,1),(180,1),(181,1),(184,1),(205,1),(206,1)}
       198:{2,3,5}:{(181,1),(206,1),(207,1)}
       199:{1,2,5,7}:{(182,1),(183,1),(184,1),(204,1),(205,1)}
       200:{1,2,4}:{(185,1),(186,1),(207,1)}
       201:{3,5,7}:{(188,1),(189,1),(190,1),(208,1)}
       202:{2,5,6}:{(189,1),(191,1),(208,1)}
       203:{2,4,6,7}:{(190,1),(191,1),(193,1),(196,1),(208,1)}
       204:{1,2,6,7}:{(192,1),(193,1),(194,1),(199,1)}
       205:{1,2,4,7}:{(195,1),(196,1),(197,1),(199,1),(209,1)}
       206:{2,3,6}:{(197,1),(198,1),(209,1)}
       207:{2,3,4}:{(198,1),(200,1)}
       208:{2,5,7}:{(201,1),(202,1),(203,1)}
       209:{2,3,7}:{(205,1),(206,1)}

1492 :   0:{1,2,3,6,7}:{(2,1),(3,1),(36,1),(44,1),(80,1),(81,1),(82,1),(104,1)}
         1:{1,3,4,6,7}:{(3,1),(4,1),(13,1),(17,1),(38,1),(44,1),(49,1),(82,1),(100,1),(104,1)}
         2:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(23,1),(26,1),(54,1),(61,1),(93,1),(94,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(7,1),(8,1),(27,1),(56,1),(67,1),(86,1),(95,1),(103,1)}
         4:{1,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(26,1),(58,1),(66,1)}
         5:{2,3,4,6,7}:{(3,1),(11,1),(13,1),(34,1),(37,1),(44,1),(71,1),(81,1),(99,1),(104,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(15,1),(36,1),(39,1),(44,1),(76,1),(77,1),(78,1),(80,1)}
         7:{1,2,4,7}:{(2,1),(12,1),(13,1),(72,1),(99,1),(100,1)}
         8:{1,2,5,7}:{(3,1),(4,1),(11,1),(15,1),(76,1),(83,1),(96,1)}
         9:{1,4,5,7}:{(4,1),(16,1),(17,1),(74,1),(100,1)}
        10:{1,3,5,6}:{(4,1),(15,1),(17,1),(44,1),(46,1)}
        11:{2,3,5,7}:{(5,1),(8,1),(19,1),(20,1),(26,1),(57,1),(85,1)}
        12:{1,2,4,6}:{(6,1),(7,1),(21,1),(22,1),(89,1),(90,1)}
        13:{3,4,7}:{(7,1),(21,1),(26,1),(87,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(19,1),(22,1),(26,1),(27,1),(30,1),(51,1),(61,1),(88,1),(103,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(20,1),(27,1),(65,1),(84,1)}
        16:{3,4,5,7}:{(9,1),(26,1),(30,1),(31,1),(55,1),(66,1),(91,1)}
        17:{1,4,6}:{(9,1),(10,1),(31,1)}
        18:{1,3,5,6,7}:{(10,1),(28,1),(32,1),(64,1),(66,1),(94,1)}
        19:{2,4,5,7}:{(11,1),(33,1),(34,1),(73,1),(99,1)}
        20:{2,3,5,6}:{(11,1),(15,1),(34,1),(44,1),(68,1)}
        21:{3,4,6}:{(12,1),(13,1),(39,1),(44,1)}
        22:{1,2,4,5}:{(12,1),(39,1),(73,1),(74,1),(76,1)}
        23:{1,2,3,7}:{(36,1),(41,1),(104,1)}
        24:{2,3,4,7}:{(13,1),(37,1),(41,1),(42,1),(99,1),(104,1)}
        25:{1,3,4,7}:{(13,1),(38,1),(41,1),(43,1),(100,1),(104,1)}
        26:{3,5,7}:{(13,1),(14,1),(39,1),(44,1),(97,1),(104,1)}
        27:{1,2,4,6}:{(14,1),(15,1),(17,1),(34,1),(44,1),(48,1),(70,1),(80,1)}
        28:{1,2,5,6,7}:{(15,1),(18,1),(35,1),(45,1),(83,1),(96,1),(101,1)}
        29:{1,4,5,6}:{(17,1),(46,1),(47,1)}
        30:{2,4,5,7}:{(16,1),(42,1),(48,1),(73,1),(83,1),(99,1)}
        31:{3,4,6}:{(16,1),(17,1),(44,1),(46,1),(48,1)}
        32:{1,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(100,1)}
        33:{3,4,5,7}:{(19,1),(26,1),(51,1),(52,1),(55,1),(85,1),(91,1)}
        34:{2,4,6}:{(19,1),(20,1),(52,1)}
        35:{2,3,5,6,7}:{(20,1),(28,1),(53,1),(64,1),(85,1),(93,1)}
        36:{1,2,3,6}:{(23,1),(54,1),(56,1),(102,1)}
        37:{2,3,4,6}:{(21,1),(24,1),(56,1),(57,1),(62,1),(87,1),(89,1),(102,1)}
        38:{1,3,4,6}:{(21,1),(25,1),(56,1),(58,1),(63,1),(87,1),(90,1),(102,1)}
        39:{3,5}:{(21,1),(22,1)}
        40:{1,2,4,5,6}:{(22,1),(27,1),(29,1),(50,1),(59,1),(60,1),(65,1),(84,1),(89,1),(90,1),(92,1)}
        41:{1,2,4,7}:{(23,1),(24,1),(25,1),(56,1),(61,1)}
        42:{2,3,5,7}:{(24,1),(26,1),(30,1),(57,1),(61,1),(62,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(51,1),(58,1),(61,1),(63,1)}
        44:{3,6}:{(26,1),(27,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(32,1),(53,1),(60,1),(64,1),(67,1),(86,1),(95,1),(103,1)}
        46:{3,5,6}:{(29,1),(31,1),(65,1),(66,1)}
        47:{1,4,5,7}:{(29,1),(32,1),(66,1)}
        48:{2,4,6}:{(30,1),(31,1),(62,1),(65,1)}
        49:{3,4,6,7}:{(31,1),(32,1),(64,1),(66,1),(67,1),(91,1)}
        50:{2,4,5,6}:{(34,1),(68,1),(69,1)}
        51:{1,4,5,7}:{(33,1),(43,1),(70,1),(74,1),(96,1),(100,1)}
        52:{3,4,6}:{(33,1),(34,1),(44,1),(68,1),(70,1)}
        53:{2,4,6,7}:{(34,1),(35,1),(69,1),(71,1),(99,1)}
        54:{1,2,3,5}:{(36,1),(72,1),(76,1),(97,1)}
        55:{3,4,5}:{(39,1),(73,1),(74,1),(75,1),(97,1)}
        56:{1,2,4,6}:{(36,1),(37,1),(38,1),(41,1),(72,1),(76,1),(80,1)}
        57:{2,3,5}:{(37,1),(39,1),(73,1),(76,1),(97,1)}
        58:{1,3,5}:{(38,1),(39,1),(74,1),(76,1),(97,1)}
        59:{3,5,6}:{(39,1),(40,1),(44,1),(75,1),(79,1)}
        60:{1,2,4,5,7}:{(40,1),(45,1),(47,1),(69,1),(79,1),(83,1),(96,1),(99,1),(100,1),(101,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(43,1),(76,1),(80,1)}
        62:{2,3,6}:{(42,1),(44,1),(48,1),(80,1)}
        63:{1,3,6}:{(43,1),(44,1),(70,1),(80,1)}
        64:{3,6,7}:{(44,1),(45,1),(79,1),(104,1)}
        65:{2,5,6}:{(46,1),(48,1),(83,1)}
        66:{3,5,7}:{(46,1),(47,1),(49,1),(83,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(81,1),(83,1),(99,1)}
        68:{3,5,6}:{(50,1),(52,1),(84,1),(85,1)}
        69:{2,4,5,7}:{(50,1),(53,1),(85,1)}
        70:{1,4,6}:{(51,1),(52,1),(63,1),(84,1)}
        71:{3,4,6,7}:{(52,1),(53,1),(64,1),(85,1),(86,1),(91,1)}
        72:{1,2,4}:{(54,1),(87,1)}
        73:{2,4,5}:{(55,1),(57,1),(89,1)}
        74:{1,4,5}:{(55,1),(58,1),(90,1)}
        75:{3,4,6}:{(55,1),(59,1),(89,1),(90,1),(91,1),(102,1)}
        76:{1,2,5}:{(56,1),(57,1),(58,1)}
        77:{2,3,5,6}:{(57,1),(59,1),(62,1),(65,1),(89,1),(92,1),(93,1),(102,1)}
        78:{1,3,5,6}:{(58,1),(59,1),(63,1),(84,1),(90,1),(92,1),(94,1),(102,1)}
        79:{3,5,7}:{(59,1),(60,1),(64,1),(91,1)}
        80:{1,2,6}:{(61,1),(62,1),(63,1)}
        81:{2,3,6,7}:{(62,1),(64,1),(67,1),(93,1),(95,1)}
        82:{1,3,6,7}:{(63,1),(64,1),(86,1),(94,1),(95,1)}
        83:{2,5,7}:{(65,1),(66,1),(67,1)}
        84:{1,5,6}:{(68,1),(70,1),(96,1)}
        85:{3,5,7}:{(68,1),(69,1),(71,1),(96,1)}
        86:{1,4,6,7}:{(70,1),(71,1),(82,1),(96,1),(100,1)}
        87:{3,4}:{(72,1),(97,1)}
        88:{1,2,4,5}:{(72,1),(73,1),(74,1),(76,1),(97,1),(98,1)}
        89:{2,4,6}:{(73,1),(75,1),(77,1),(99,1)}
        90:{1,4,6}:{(74,1),(75,1),(78,1),(100,1)}
        91:{3,4,7}:{(75,1),(79,1),(99,1),(100,1),(104,1)}
        92:{1,2,5,6}:{(76,1),(77,1),(78,1),(80,1),(98,1),(101,1)}
        93:{2,3,5,7}:{(77,1),(79,1),(81,1),(83,1),(99,1),(101,1),(104,1)}
        94:{1,3,5,7}:{(78,1),(79,1),(82,1),(96,1),(100,1),(101,1),(104,1)}
        95:{1,2,6,7}:{(80,1),(81,1),(82,1),(101,1)}
        96:{1,5,7}:{(84,1),(85,1),(86,1)}
        97:{3,5}:{(87,1),(88,1),(102,1)}
        98:{1,2,4,6}:{(88,1),(89,1),(90,1),(92,1),(102,1),(103,1)}
        99:{2,4,7}:{(89,1),(91,1),(93,1)}
       100:{1,4,7}:{(90,1),(91,1),(94,1)}
       101:{1,2,5,7}:{(92,1),(93,1),(94,1),(95,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1493 :   0:{1,2,3,6,7}:{(2,1),(3,1),(42,1),(73,1),(79,1),(80,1),(81,1),(104,1)}
         1:{1,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(34,1),(42,1),(46,1),(79,1),(94,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(8,1),(25,1),(53,1),(65,1),(92,1),(93,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(26,1),(63,1),(64,1),(86,1),(87,1),(89,1)}
         4:{1,3,5,7}:{(1,1),(7,1),(9,1),(10,1),(26,1),(51,1),(54,1)}
         5:{1,2,3,5,6}:{(3,1),(11,1),(13,1),(33,1),(42,1),(70,1),(71,1),(72,1),(73,1),(81,1)}
         6:{2,3,4,6,7}:{(2,1),(12,1),(15,1),(35,1),(39,1),(42,1),(77,1),(80,1),(95,1),(104,1)}
         7:{1,2,5,7}:{(2,1),(4,1),(12,1),(13,1),(72,1),(74,1),(100,1)}
         8:{1,2,4,7}:{(3,1),(11,1),(15,1),(94,1),(95,1),(99,1)}
         9:{1,3,5,6}:{(4,1),(13,1),(17,1),(37,1),(42,1)}
        10:{1,4,5,7}:{(4,1),(17,1),(18,1),(67,1),(94,1)}
        11:{1,2,4,6}:{(5,1),(8,1),(19,1),(20,1),(83,1),(84,1)}
        12:{2,3,5,7}:{(6,1),(7,1),(22,1),(23,1),(26,1),(52,1),(90,1)}
        13:{1,2,5,6}:{(7,1),(9,1),(22,1),(25,1),(55,1),(91,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(10,1),(19,1),(23,1),(25,1),(26,1),(31,1),(59,1),(63,1),(85,1),(101,1)}
        15:{3,4,7}:{(8,1),(20,1),(26,1),(103,1)}
        16:{1,3,5,6,7}:{(9,1),(24,1),(29,1),(54,1),(60,1),(86,1)}
        17:{1,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(26,1),(30,1),(31,1),(48,1),(54,1),(82,1)}
        19:{1,2,4,5}:{(11,1),(33,1),(67,1),(68,1),(72,1)}
        20:{3,4,6}:{(11,1),(15,1),(33,1),(42,1)}
        21:{1,4,5,6}:{(17,1),(36,1),(37,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(39,1),(42,1),(76,1)}
        23:{2,4,5,7}:{(12,1),(39,1),(40,1),(68,1),(95,1)}
        24:{1,2,5,6,7}:{(13,1),(16,1),(38,1),(41,1),(74,1),(98,1),(100,1)}
        25:{1,2,4,6}:{(13,1),(14,1),(17,1),(39,1),(42,1),(47,1),(78,1),(81,1)}
        26:{3,5,7}:{(14,1),(15,1),(33,1),(42,1),(97,1),(104,1)}
        27:{1,3,4,7}:{(15,1),(34,1),(43,1),(45,1),(94,1),(104,1)}
        28:{2,3,4,7}:{(15,1),(35,1),(44,1),(45,1),(95,1),(104,1)}
        29:{1,4,6,7}:{(16,1),(17,1),(36,1),(46,1),(94,1)}
        30:{3,4,6}:{(17,1),(18,1),(37,1),(42,1),(47,1)}
        31:{2,4,5,7}:{(18,1),(44,1),(47,1),(68,1),(74,1),(95,1)}
        32:{1,2,4,5,6}:{(19,1),(21,1),(25,1),(49,1),(50,1),(55,1),(56,1),(83,1),(84,1),(88,1),(91,1)}
        33:{3,5}:{(19,1),(20,1)}
        34:{1,3,4,6}:{(20,1),(27,1),(51,1),(53,1),(61,1),(83,1),(102,1),(103,1)}
        35:{2,3,4,6}:{(20,1),(28,1),(52,1),(53,1),(62,1),(84,1),(102,1),(103,1)}
        36:{1,4,5,7}:{(21,1),(29,1),(54,1)}
        37:{3,5,6}:{(21,1),(30,1),(54,1),(55,1)}
        38:{2,3,5,6,7}:{(22,1),(24,1),(57,1),(60,1),(87,1),(90,1)}
        39:{2,4,6}:{(22,1),(23,1),(58,1)}
        40:{3,4,5,7}:{(23,1),(26,1),(48,1),(58,1),(59,1),(82,1),(90,1)}
        41:{1,2,4,6,7}:{(24,1),(25,1),(29,1),(49,1),(57,1),(60,1),(65,1),(92,1),(93,1),(101,1)}
        42:{3,6}:{(25,1),(26,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(51,1),(59,1),(61,1),(63,1)}
        44:{2,3,5,7}:{(26,1),(28,1),(31,1),(52,1),(62,1),(63,1)}
        45:{1,2,4,7}:{(27,1),(28,1),(53,1),(63,1),(64,1)}
        46:{3,4,6,7}:{(29,1),(30,1),(54,1),(60,1),(65,1),(82,1)}
        47:{2,4,6}:{(30,1),(31,1),(55,1),(62,1)}
        48:{3,4,5}:{(33,1),(66,1),(67,1),(68,1),(97,1)}
        49:{1,2,4,5,7}:{(32,1),(36,1),(41,1),(69,1),(74,1),(75,1),(94,1),(95,1),(98,1),(100,1)}
        50:{3,5,6}:{(32,1),(33,1),(42,1),(66,1),(69,1)}
        51:{1,3,5}:{(33,1),(34,1),(67,1),(72,1),(97,1)}
        52:{2,3,5}:{(33,1),(35,1),(68,1),(72,1),(97,1)}
        53:{1,2,4,6}:{(34,1),(35,1),(45,1),(72,1),(73,1),(81,1),(99,1)}
        54:{3,5,7}:{(36,1),(37,1),(46,1),(74,1)}
        55:{2,5,6}:{(37,1),(47,1),(74,1)}
        56:{2,4,5,6}:{(39,1),(75,1),(76,1)}
        57:{2,4,6,7}:{(38,1),(39,1),(75,1),(77,1),(95,1)}
        58:{3,4,6}:{(39,1),(40,1),(42,1),(76,1),(78,1)}
        59:{1,4,5,7}:{(40,1),(43,1),(67,1),(78,1),(94,1),(100,1)}
        60:{3,6,7}:{(41,1),(42,1),(69,1),(104,1)}
        61:{1,3,6}:{(42,1),(43,1),(78,1),(81,1)}
        62:{2,3,6}:{(42,1),(44,1),(47,1),(81,1)}
        63:{1,2,5,7}:{(43,1),(44,1),(45,1),(72,1),(81,1)}
        64:{1,2,3,7}:{(45,1),(73,1),(104,1)}
        65:{2,4,6,7}:{(46,1),(47,1),(74,1),(80,1),(95,1)}
        66:{3,4,6}:{(48,1),(50,1),(82,1),(83,1),(84,1),(102,1)}
        67:{1,4,5}:{(48,1),(51,1),(83,1)}
        68:{2,4,5}:{(48,1),(52,1),(84,1)}
        69:{3,5,7}:{(49,1),(50,1),(60,1),(82,1)}
        70:{1,3,5,6}:{(50,1),(51,1),(61,1),(83,1),(86,1),(88,1),(91,1),(102,1)}
        71:{2,3,5,6}:{(50,1),(52,1),(55,1),(62,1),(84,1),(87,1),(88,1),(102,1)}
        72:{1,2,5}:{(51,1),(52,1),(53,1)}
        73:{1,2,3,6}:{(53,1),(64,1),(89,1),(102,1)}
        74:{2,5,7}:{(54,1),(55,1),(65,1)}
        75:{2,4,5,7}:{(56,1),(57,1),(90,1)}
        76:{3,5,6}:{(56,1),(58,1),(90,1),(91,1)}
        77:{3,4,6,7}:{(57,1),(58,1),(60,1),(82,1),(90,1),(92,1)}
        78:{1,4,6}:{(58,1),(59,1),(61,1),(91,1)}
        79:{1,3,6,7}:{(60,1),(61,1),(86,1),(92,1),(93,1)}
        80:{2,3,6,7}:{(60,1),(62,1),(65,1),(87,1),(93,1)}
        81:{1,2,6}:{(61,1),(62,1),(63,1)}
        82:{3,4,7}:{(66,1),(69,1),(94,1),(95,1),(104,1)}
        83:{1,4,6}:{(66,1),(67,1),(70,1),(94,1)}
        84:{2,4,6}:{(66,1),(68,1),(71,1),(95,1)}
        85:{1,2,4,5}:{(67,1),(68,1),(72,1),(96,1),(97,1),(99,1)}
        86:{1,3,5,7}:{(69,1),(70,1),(79,1),(94,1),(98,1),(100,1),(104,1)}
        87:{2,3,5,7}:{(69,1),(71,1),(74,1),(80,1),(95,1),(98,1),(104,1)}
        88:{1,2,5,6}:{(70,1),(71,1),(72,1),(81,1),(96,1),(98,1)}
        89:{1,2,3,5}:{(72,1),(73,1),(97,1),(99,1)}
        90:{3,5,7}:{(75,1),(76,1),(77,1),(100,1)}
        91:{1,5,6}:{(76,1),(78,1),(100,1)}
        92:{1,4,6,7}:{(77,1),(78,1),(79,1),(94,1),(100,1)}
        93:{1,2,6,7}:{(79,1),(80,1),(81,1),(98,1)}
        94:{1,4,7}:{(82,1),(83,1),(86,1)}
        95:{2,4,7}:{(82,1),(84,1),(87,1)}
        96:{1,2,4,6}:{(83,1),(84,1),(85,1),(88,1),(101,1),(102,1)}
        97:{3,5}:{(85,1),(102,1),(103,1)}
        98:{1,2,5,7}:{(86,1),(87,1),(88,1),(93,1),(101,1)}
        99:{1,2,4}:{(89,1),(103,1)}
       100:{1,5,7}:{(90,1),(91,1),(92,1)}
       101:{1,2,4,7}:{(94,1),(95,1),(96,1),(98,1),(104,1)}
       102:{3,6}:{(96,1),(97,1),(104,1)}
       103:{3,4}:{(97,1),(99,1)}
       104:{3,7}:{(101,1),(102,1)}

1494 :   0:{1,2,3,6}:{(3,1),(5,1),(8,1),(93,1),(105,1)}
         1:{1,3,4,6}:{(6,1),(8,1),(9,1),(41,1),(44,1),(48,1),(95,1),(105,1)}
         2:{1,4,5,6}:{(10,1),(11,1),(35,1),(44,1),(98,1)}
         3:{1,2,3,5}:{(0,1),(12,1),(17,1),(25,1),(61,1),(71,1)}
         4:{3,4,5}:{(18,1),(19,1),(20,1),(71,1)}
         5:{1,2,3,7}:{(0,1),(21,1),(112,1),(129,1),(138,1)}
         6:{1,3,4,7}:{(1,1),(21,1),(22,1),(66,1),(74,1),(113,1),(138,1)}
         7:{1,5,6,7}:{(16,1),(23,1),(126,1),(133,1)}
         8:{1,2,4,6}:{(0,1),(1,1),(17,1),(21,1),(24,1),(25,1),(76,1)}
         9:{1,3,5}:{(1,1),(19,1),(25,1),(71,1),(130,1)}
        10:{3,5,6}:{(2,1),(20,1),(26,1),(28,1)}
        11:{1,4,5,7}:{(2,1),(23,1),(28,1),(65,1),(74,1),(133,1)}
        12:{1,2,3}:{(32,1)}
        13:{2,3,4}:{(32,1),(33,1),(41,1)}
        14:{1,2,3,5,7}:{(3,1),(5,1),(29,1),(34,1),(36,1),(47,1),(82,1),(89,1),(96,1),(100,1)}
        15:{3,4,5,7}:{(4,1),(37,1),(38,1),(39,1),(45,1),(83,1),(99,1),(100,1),(149,1),(159,1),(202,1)}
        16:{3,5,6,7}:{(7,1),(31,1),(40,1),(49,1),(91,1),(99,1)}
        17:{1,2,4}:{(3,1),(41,1)}
        18:{2,4,5}:{(4,1),(33,1),(43,1)}
        19:{1,4,5}:{(4,1),(9,1),(44,1),(159,1)}
        20:{3,4,6}:{(4,1),(10,1),(43,1),(44,1),(45,1),(105,1)}
        21:{1,2,4,7}:{(5,1),(6,1),(8,1),(46,1),(47,1),(143,1)}
        22:{1,3,5,7}:{(6,1),(9,1),(38,1),(47,1),(48,1),(100,1),(144,1),(192,1)}
        23:{1,4,6,7}:{(7,1),(11,1),(40,1),(49,1)}
        24:{2,3,4,6}:{(8,1),(41,1),(46,1),(50,1),(95,1),(105,1),(108,1),(110,1)}
        25:{1,2,5}:{(8,1),(9,1),(50,1)}
        26:{2,5,6}:{(10,1),(43,1),(52,1)}
        27:{1,3,5,6}:{(9,1),(10,1),(44,1),(48,1),(51,1),(53,1),(98,1),(105,1),(160,1)}
        28:{3,5,7}:{(10,1),(11,1),(45,1),(49,1),(52,1)}
        29:{1,2,3,7}:{(12,1),(54,1),(57,1),(208,1),(210,1)}
        30:{2,3,4,7}:{(13,1),(55,1),(57,1),(58,1),(66,1),(174,1),(210,1)}
        31:{2,5,6,7}:{(16,1),(59,1),(77,1),(132,1)}
        32:{1,2,4}:{(12,1),(13,1),(60,1),(61,1)}
        33:{2,3,5}:{(13,1),(18,1),(61,1),(62,1),(71,1)}
        34:{1,2,3,6}:{(14,1),(63,1),(76,1),(124,1),(135,1)}
        35:{4,5,6}:{(64,1),(65,1),(183,1)}
        36:{1,2,4,7}:{(14,1),(17,1),(63,1),(66,1),(114,1)}
        37:{2,4,5,7}:{(15,1),(18,1),(58,1),(68,1),(73,1),(115,1),(132,1),(174,1)}
        38:{1,4,5,7}:{(15,1),(19,1),(22,1),(69,1),(74,1),(116,1),(133,1),(175,1)}
        39:{3,4,6}:{(15,1),(64,1),(68,1),(69,1),(135,1),(183,1)}
        40:{4,6,7}:{(16,1),(65,1)}
        41:{3,4}:{(17,1),(71,1)}
        42:{1,2,4,5}:{(17,1),(18,1),(19,1),(25,1),(61,1),(71,1),(72,1),(79,1),(127,1)}
        43:{2,4,6}:{(18,1),(20,1),(26,1),(62,1),(73,1)}
        44:{1,4,6}:{(19,1),(20,1),(27,1),(74,1),(183,1)}
        45:{3,4,7}:{(20,1),(28,1),(73,1),(74,1),(138,1)}
        46:{2,3,4,7}:{(21,1),(24,1),(66,1),(75,1),(138,1),(142,1),(169,1)}
        47:{1,2,5,7}:{(21,1),(22,1),(25,1),(75,1),(76,1),(170,1),(208,1)}
        48:{1,3,6}:{(22,1),(69,1),(76,1),(135,1)}
        49:{3,6,7}:{(23,1),(28,1),(77,1)}
        50:{2,3,5}:{(24,1),(25,1),(71,1),(79,1),(130,1)}
        51:{1,2,5,6}:{(25,1),(26,1),(27,1),(72,1),(76,1),(80,1),(81,1),(181,1)}
        52:{2,5,7}:{(26,1),(28,1),(73,1),(77,1)}
        53:{1,3,5,7}:{(27,1),(28,1),(74,1),(78,1),(81,1),(133,1),(138,1),(184,1)}
        54:{1,2,3,6}:{(29,1),(82,1),(84,1),(191,1),(194,1)}
        55:{2,3,4,6}:{(30,1),(84,1),(85,1),(90,1),(95,1),(145,1),(147,1),(194,1)}
        56:{2,4,5,6}:{(35,1),(86,1),(87,1),(97,1),(147,1)}
        57:{1,2,4,7}:{(29,1),(30,1),(32,1),(84,1),(88,1),(89,1)}
        58:{2,3,5,7}:{(30,1),(33,1),(37,1),(85,1),(89,1),(90,1),(94,1),(100,1)}
        59:{2,4,6,7}:{(31,1),(40,1),(87,1),(91,1)}
        60:{1,3,4}:{(32,1),(41,1),(92,1)}
        61:{1,2,5}:{(32,1),(33,1),(92,1),(93,1)}
        62:{2,3,6}:{(33,1),(43,1),(93,1),(94,1),(105,1)}
        63:{1,2,4,6}:{(34,1),(36,1),(95,1),(96,1)}
        64:{3,5,6}:{(35,1),(39,1),(97,1),(98,1),(99,1)}
        65:{4,5,7}:{(35,1),(40,1),(99,1),(202,1)}
        66:{3,4,7}:{(36,1),(41,1),(95,1),(100,1),(145,1),(202,1)}
        67:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(42,1),(47,1),(89,1),(96,1),(100,1),(101,1),(106,1),(107,1),(146,1),(154,1),(159,1),(161,1),(195,1),(202,1)}
        68:{2,4,6}:{(37,1),(39,1),(90,1),(97,1)}
        69:{1,4,6}:{(38,1),(39,1),(48,1),(98,1)}
        70:{3,4,6,7}:{(39,1),(40,1),(45,1),(49,1),(91,1),(99,1),(102,1),(103,1),(149,1),(163,1),(202,1)}
        71:{3,5}:{(41,1),(42,1),(105,1)}
        72:{1,2,4,6}:{(42,1),(43,1),(44,1),(51,1),(93,1),(105,1),(106,1),(110,1),(157,1)}
        73:{2,4,7}:{(43,1),(45,1),(52,1),(94,1)}
        74:{1,4,7}:{(44,1),(45,1),(53,1),(202,1)}
        75:{2,3,5,7}:{(46,1),(47,1),(50,1),(100,1),(107,1),(108,1),(190,1),(218,1)}
        76:{1,2,6}:{(47,1),(48,1),(108,1)}
        77:{2,6,7}:{(49,1),(52,1)}
        78:{1,3,6,7}:{(48,1),(49,1),(53,1),(103,1),(109,1),(163,1),(192,1)}
        79:{2,4,5}:{(50,1),(104,1),(110,1),(159,1)}
        80:{2,3,5,6}:{(50,1),(51,1),(105,1),(108,1),(110,1),(111,1),(160,1),(164,1),(166,1)}
        81:{1,2,5,7}:{(51,1),(52,1),(53,1),(106,1),(109,1),(111,1),(200,1)}
        82:{1,2,3,5}:{(54,1),(112,1),(114,1),(119,1),(170,1),(172,1)}
        83:{3,4,5}:{(115,1),(116,1),(117,1),(172,1)}
        84:{1,2,4,6}:{(54,1),(55,1),(57,1),(114,1),(118,1),(119,1),(124,1)}
        85:{2,3,5}:{(55,1),(115,1),(119,1),(130,1),(172,1)}
        86:{3,5,6}:{(56,1),(117,1),(121,1),(122,1)}
        87:{2,4,5,7}:{(56,1),(59,1),(65,1),(122,1),(132,1),(174,1)}
        88:{1,3,4,7}:{(57,1),(60,1),(66,1),(118,1),(123,1),(210,1),(212,1)}
        89:{1,2,5,7}:{(57,1),(58,1),(61,1),(119,1),(123,1),(124,1),(129,1)}
        90:{2,3,6}:{(58,1),(68,1),(124,1),(135,1)}
        91:{3,6,7}:{(59,1),(122,1),(126,1)}
        92:{1,3,5}:{(60,1),(61,1),(71,1),(127,1),(128,1)}
        93:{1,2,6}:{(61,1),(62,1),(128,1),(129,1)}
        94:{2,3,7}:{(62,1),(73,1),(129,1),(138,1)}
        95:{3,4,6}:{(63,1),(66,1),(130,1),(135,1),(183,1)}
        96:{1,2,5}:{(63,1),(130,1)}
        97:{2,5,6}:{(64,1),(68,1),(132,1)}
        98:{1,5,6}:{(64,1),(69,1),(133,1)}
        99:{3,5,7}:{(64,1),(65,1),(70,1),(132,1),(133,1)}
       100:{3,5,7}:{(66,1),(67,1),(71,1),(130,1),(135,1),(138,1),(172,1),(210,1)}
       101:{1,2,4,6}:{(67,1),(68,1),(69,1),(76,1),(124,1),(131,1),(135,1),(139,1),(179,1),(183,1)}
       102:{2,4,6,7}:{(68,1),(70,1),(73,1),(77,1),(125,1),(132,1),(174,1)}
       103:{1,4,6,7}:{(69,1),(70,1),(74,1),(78,1),(126,1),(133,1),(175,1)}
       104:{3,4,5}:{(71,1),(79,1),(127,1),(137,1)}
       105:{3,6}:{(71,1),(72,1),(138,1)}
       106:{1,2,4,7}:{(72,1),(73,1),(74,1),(81,1),(129,1),(138,1),(142,1),(182,1)}
       107:{2,4,5,7}:{(75,1),(79,1),(134,1),(139,1),(142,1),(188,1),(206,1),(225,1)}
       108:{2,3,6}:{(75,1),(76,1),(135,1),(139,1)}
       109:{1,2,6,7}:{(76,1),(77,1),(78,1),(81,1),(140,1),(208,1),(214,1)}
       110:{2,4,6}:{(79,1),(80,1),(137,1),(142,1),(183,1)}
       111:{2,3,5,7}:{(80,1),(81,1),(138,1),(140,1),(142,1),(184,1),(187,1),(188,1)}
       112:{1,2,3}:{(143,1)}
       113:{1,3,4}:{(143,1),(144,1),(145,1)}
       114:{1,2,4}:{(82,1),(145,1)}
       115:{2,4,5}:{(83,1),(85,1),(147,1),(159,1)}
       116:{1,4,5}:{(83,1),(144,1),(148,1)}
       117:{3,4,6}:{(83,1),(86,1),(147,1),(148,1),(149,1),(194,1)}
       118:{1,3,4,6}:{(84,1),(88,1),(95,1),(145,1),(150,1),(155,1),(194,1),(196,1)}
       119:{1,2,5}:{(84,1),(85,1),(150,1)}
       120:{2,3,5,6}:{(85,1),(86,1),(90,1),(97,1),(147,1),(151,1),(152,1),(160,1),(194,1)}
       121:{1,5,6}:{(86,1),(148,1),(153,1)}
       122:{3,5,7}:{(86,1),(87,1),(91,1),(149,1),(153,1)}
       123:{1,3,5,7}:{(88,1),(89,1),(92,1),(100,1),(150,1),(154,1),(155,1),(158,1)}
       124:{1,2,6}:{(89,1),(90,1),(155,1)}
       125:{2,3,6,7}:{(90,1),(91,1),(94,1),(102,1),(152,1),(156,1),(163,1)}
       126:{1,6,7}:{(91,1),(153,1)}
       127:{1,4,5}:{(92,1),(104,1),(157,1)}
       128:{1,3,6}:{(92,1),(93,1),(105,1),(157,1),(158,1)}
       129:{1,2,7}:{(93,1),(94,1),(158,1)}
       130:{3,5}:{(95,1),(96,1),(159,1)}
       131:{1,2,5,6}:{(96,1),(97,1),(98,1),(101,1),(160,1),(161,1),(166,1),(198,1)}
       132:{2,5,7}:{(97,1),(99,1),(102,1)}
       133:{1,5,7}:{(98,1),(99,1),(103,1)}
       134:{3,4,5,7}:{(100,1),(104,1),(107,1),(154,1),(159,1),(162,1),(165,1),(193,1),(202,1),(203,1),(220,1)}
       135:{3,6}:{(100,1),(101,1)}
       136:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(106,1),(109,1),(156,1),(161,1),(163,1),(167,1),(195,1),(199,1),(202,1)}
       137:{3,4,6}:{(104,1),(105,1),(110,1),(157,1),(164,1),(165,1)}
       138:{3,7}:{(105,1),(106,1)}
       139:{2,4,6}:{(107,1),(108,1),(162,1),(166,1)}
       140:{2,3,6,7}:{(108,1),(109,1),(111,1),(163,1),(167,1),(204,1),(218,1)}
       141:{2,4,5,6}:{(110,1),(164,1),(166,1),(168,1),(201,1)}
       142:{2,4,7}:{(110,1),(111,1),(165,1),(202,1)}
       143:{1,2,4}:{(112,1),(113,1),(169,1),(170,1)}
       144:{1,3,5}:{(113,1),(116,1),(170,1),(171,1),(172,1)}
       145:{3,4}:{(114,1),(172,1)}
       146:{1,2,4,5}:{(114,1),(115,1),(116,1),(119,1),(170,1),(172,1),(173,1),(176,1),(206,1)}
       147:{2,4,6}:{(115,1),(117,1),(120,1),(174,1),(183,1)}
       148:{1,4,6}:{(116,1),(117,1),(121,1),(171,1),(175,1)}
       149:{3,4,7}:{(117,1),(122,1),(174,1),(175,1),(210,1)}
       150:{1,3,5}:{(118,1),(119,1),(130,1),(172,1),(176,1)}
       151:{1,2,5,6}:{(119,1),(120,1),(121,1),(124,1),(173,1),(177,1),(178,1),(224,1)}
       152:{2,3,5,7}:{(120,1),(122,1),(125,1),(132,1),(174,1),(178,1),(184,1),(210,1)}
       153:{1,5,7}:{(121,1),(122,1),(126,1),(175,1)}
       154:{1,4,5,7}:{(123,1),(127,1),(134,1),(176,1),(179,1),(182,1),(212,1),(213,1)}
       155:{1,3,6}:{(123,1),(124,1),(135,1),(179,1)}
       156:{1,2,6,7}:{(124,1),(125,1),(126,1),(129,1),(178,1),(180,1),(230,1)}
       157:{1,4,6}:{(127,1),(128,1),(137,1),(181,1),(182,1)}
       158:{1,3,7}:{(128,1),(129,1),(138,1),(182,1)}
       159:{4,5}:{(130,1),(183,1)}
       160:{3,5,6}:{(130,1),(131,1),(135,1),(183,1),(184,1)}
       161:{1,2,5,7}:{(131,1),(132,1),(133,1),(136,1),(184,1),(188,1),(213,1)}
       162:{3,4,6}:{(134,1),(135,1),(139,1),(179,1),(183,1),(185,1)}
       163:{3,6,7}:{(135,1),(136,1),(138,1),(184,1),(210,1)}
       164:{3,5,6}:{(137,1),(141,1),(181,1),(187,1)}
       165:{3,4,7}:{(137,1),(138,1),(142,1),(182,1),(187,1)}
       166:{2,5,6}:{(139,1),(185,1),(188,1)}
       167:{2,4,6,7}:{(139,1),(140,1),(142,1),(186,1),(188,1),(225,1),(230,1)}
       168:{2,4,5,7}:{(141,1),(142,1),(187,1),(188,1),(189,1),(215,1)}
       169:{2,3,4}:{(143,1),(145,1),(190,1)}
       170:{1,2,5}:{(143,1),(144,1),(190,1),(191,1)}
       171:{1,3,6}:{(144,1),(148,1),(191,1),(192,1),(194,1)}
       172:{3,5}:{(145,1),(146,1),(194,1)}
       173:{1,2,4,6}:{(146,1),(147,1),(148,1),(151,1),(191,1),(194,1),(195,1),(196,1),(217,1)}
       174:{2,4,7}:{(147,1),(149,1),(152,1),(202,1)}
       175:{1,4,7}:{(148,1),(149,1),(153,1),(192,1)}
       176:{1,4,5}:{(150,1),(159,1),(193,1),(196,1)}
       177:{1,3,5,6}:{(150,1),(151,1),(155,1),(160,1),(194,1),(196,1),(197,1),(198,1),(219,1)}
       178:{1,2,5,7}:{(151,1),(152,1),(153,1),(156,1),(195,1),(197,1),(228,1)}
       179:{1,4,6}:{(154,1),(155,1),(162,1),(198,1)}
       180:{1,3,6,7}:{(155,1),(156,1),(158,1),(163,1),(197,1),(199,1),(229,1)}
       181:{1,5,6}:{(157,1),(164,1),(200,1)}
       182:{1,4,7}:{(157,1),(158,1),(165,1),(200,1)}
       183:{4,6}:{(159,1),(160,1),(202,1)}
       184:{3,5,7}:{(160,1),(161,1),(163,1),(202,1)}
       185:{3,5,6}:{(162,1),(166,1),(198,1),(201,1),(203,1)}
       186:{3,4,6,7}:{(162,1),(163,1),(165,1),(167,1),(199,1),(202,1),(203,1),(204,1),(220,1),(223,1),(229,1)}
       187:{3,5,7}:{(164,1),(165,1),(168,1),(200,1),(204,1)}
       188:{2,5,7}:{(166,1),(167,1),(203,1)}
       189:{2,4,6,7}:{(168,1),(204,1),(205,1),(223,1)}
       190:{2,3,5}:{(169,1),(170,1),(172,1),(206,1),(207,1)}
       191:{1,2,6}:{(170,1),(171,1),(207,1),(208,1)}
       192:{1,3,7}:{(171,1),(175,1),(208,1),(210,1)}
       193:{3,4,5}:{(172,1),(176,1),(206,1),(209,1)}
       194:{3,6}:{(172,1),(173,1),(210,1)}
       195:{1,2,4,7}:{(173,1),(174,1),(175,1),(178,1),(208,1),(210,1),(212,1),(225,1)}
       196:{1,4,6}:{(176,1),(177,1),(183,1),(209,1),(212,1)}
       197:{1,3,5,7}:{(177,1),(178,1),(180,1),(184,1),(210,1),(212,1),(213,1),(226,1)}
       198:{1,5,6}:{(179,1),(185,1),(213,1)}
       199:{1,4,6,7}:{(179,1),(180,1),(182,1),(186,1),(212,1),(213,1),(214,1)}
       200:{1,5,7}:{(181,1),(182,1),(187,1),(214,1)}
       201:{4,5,6}:{(183,1),(185,1),(215,1)}
       202:{4,7}:{(183,1),(184,1)}
       203:{3,5,7}:{(185,1),(186,1),(188,1),(213,1),(215,1)}
       204:{3,6,7}:{(187,1),(189,1),(214,1)}
       205:{2,5,6,7}:{(188,1),(189,1),(216,1),(230,1)}
       206:{2,4,5}:{(190,1),(193,1),(217,1)}
       207:{2,3,6}:{(190,1),(191,1),(194,1),(217,1),(218,1)}
       208:{1,2,7}:{(191,1),(192,1),(218,1)}
       209:{3,4,6}:{(193,1),(194,1),(196,1),(217,1),(219,1),(220,1)}
       210:{3,7}:{(194,1),(195,1)}
       211:{1,4,5,6}:{(196,1),(198,1),(201,1),(219,1),(221,1)}
       212:{1,4,7}:{(196,1),(197,1),(202,1),(220,1)}
       213:{1,5,7}:{(198,1),(199,1),(203,1)}
       214:{1,6,7}:{(200,1),(204,1)}
       215:{4,5,7}:{(201,1),(202,1),(203,1),(223,1)}
       216:{3,5,6,7}:{(203,1),(204,1),(205,1),(222,1),(223,1),(229,1)}
       217:{2,4,6}:{(206,1),(207,1),(209,1),(224,1),(225,1)}
       218:{2,3,7}:{(207,1),(208,1),(210,1),(225,1)}
       219:{3,5,6}:{(209,1),(211,1),(224,1),(226,1)}
       220:{3,4,7}:{(209,1),(210,1),(212,1),(225,1),(226,1)}
       221:{1,4,5,7}:{(211,1),(212,1),(213,1),(215,1),(226,1),(227,1)}
       222:{1,5,6,7}:{(213,1),(214,1),(216,1),(227,1)}
       223:{4,6,7}:{(215,1),(216,1)}
       224:{2,5,6}:{(217,1),(219,1),(228,1)}
       225:{2,4,7}:{(217,1),(218,1),(220,1),(228,1)}
       226:{3,5,7}:{(219,1),(220,1),(221,1),(228,1),(229,1)}
       227:{1,4,6,7}:{(221,1),(222,1),(223,1),(229,1)}
       228:{2,5,7}:{(224,1),(225,1),(226,1),(230,1)}
       229:{3,6,7}:{(226,1),(227,1),(230,1)}
       230:{2,6,7}:{(228,1),(229,1)}

1495 :   0:{1,2,3,7}:{(6,1),(9,1),(94,1),(175,1),(177,1)}
         1:{1,3,4,7}:{(7,1),(9,1),(10,1),(41,1),(95,1),(122,1),(177,1)}
         2:{1,5,6,7}:{(5,1),(11,1),(108,1),(112,1)}
         3:{1,2,3,5,7}:{(0,1),(12,1),(15,1),(17,1),(22,1),(29,1),(61,1),(68,1),(72,1),(76,1)}
         4:{3,4,5,7}:{(18,1),(19,1),(20,1),(23,1),(62,1),(75,1),(76,1),(86,1),(134,1),(142,1),(192,1)}
         5:{3,5,6,7}:{(2,1),(14,1),(21,1),(31,1),(70,1),(75,1)}
         6:{1,2,3,6}:{(0,1),(22,1),(24,1),(148,1),(151,1)}
         7:{1,3,4,6}:{(1,1),(24,1),(25,1),(30,1),(71,1),(82,1),(85,1),(151,1)}
         8:{1,4,5,6}:{(16,1),(26,1),(27,1),(74,1),(85,1)}
         9:{1,2,4,7}:{(0,1),(1,1),(24,1),(28,1),(29,1),(128,1)}
        10:{1,3,5,7}:{(1,1),(19,1),(25,1),(29,1),(30,1),(76,1),(129,1),(183,1)}
        11:{1,4,6,7}:{(2,1),(21,1),(27,1),(31,1)}
        12:{1,2,3,7}:{(32,1),(35,1),(46,1),(202,1),(204,1)}
        13:{2,3,4,7}:{(33,1),(35,1),(36,1),(41,1),(47,1),(162,1),(204,1)}
        14:{2,5,6,7}:{(5,1),(37,1),(59,1),(111,1)}
        15:{1,2,3,6}:{(3,1),(38,1),(58,1),(106,1),(114,1)}
        16:{4,5,6}:{(39,1),(40,1),(169,1)}
        17:{1,2,4,7}:{(3,1),(38,1),(41,1),(48,1),(96,1)}
        18:{2,4,5,7}:{(4,1),(36,1),(43,1),(49,1),(97,1),(111,1),(121,1),(162,1)}
        19:{1,4,5,7}:{(4,1),(10,1),(44,1),(50,1),(98,1),(112,1),(122,1),(163,1)}
        20:{3,4,6}:{(4,1),(39,1),(43,1),(44,1),(114,1),(169,1)}
        21:{4,6,7}:{(5,1),(40,1)}
        22:{1,2,3,5}:{(6,1),(46,1),(48,1),(53,1),(117,1),(119,1)}
        23:{3,4,5}:{(49,1),(50,1),(51,1),(119,1)}
        24:{1,2,4,6}:{(6,1),(7,1),(9,1),(48,1),(52,1),(53,1),(58,1)}
        25:{1,3,5}:{(7,1),(50,1),(53,1),(109,1),(119,1)}
        26:{3,5,6}:{(8,1),(51,1),(54,1),(56,1)}
        27:{1,4,5,7}:{(8,1),(11,1),(40,1),(56,1),(112,1),(122,1)}
        28:{2,3,4,7}:{(9,1),(41,1),(52,1),(57,1),(157,1),(177,1),(179,1)}
        29:{1,2,5,7}:{(9,1),(10,1),(53,1),(57,1),(58,1),(158,1),(202,1)}
        30:{1,3,6}:{(10,1),(44,1),(58,1),(114,1)}
        31:{3,6,7}:{(11,1),(56,1),(59,1)}
        32:{1,2,3,6}:{(12,1),(61,1),(63,1),(182,1),(185,1)}
        33:{2,3,4,6}:{(13,1),(63,1),(64,1),(69,1),(71,1),(130,1),(132,1),(185,1)}
        34:{2,4,5,6}:{(16,1),(65,1),(66,1),(73,1),(132,1)}
        35:{1,2,4,7}:{(12,1),(13,1),(63,1),(67,1),(68,1),(80,1)}
        36:{2,3,5,7}:{(13,1),(18,1),(64,1),(68,1),(69,1),(76,1),(81,1),(149,1)}
        37:{2,4,6,7}:{(14,1),(21,1),(66,1),(70,1)}
        38:{1,2,4,6}:{(15,1),(17,1),(71,1),(72,1)}
        39:{3,5,6}:{(16,1),(20,1),(73,1),(74,1),(75,1)}
        40:{4,5,7}:{(16,1),(21,1),(75,1),(192,1)}
        41:{3,4,7}:{(17,1),(71,1),(76,1),(82,1),(130,1),(192,1)}
        42:{1,2,4,5,7}:{(17,1),(18,1),(19,1),(29,1),(68,1),(72,1),(76,1),(77,1),(83,1),(91,1),(131,1),(139,1),(142,1),(144,1),(152,1),(186,1),(192,1)}
        43:{2,4,6}:{(18,1),(20,1),(69,1),(73,1)}
        44:{1,4,6}:{(19,1),(20,1),(30,1),(74,1)}
        45:{3,4,6,7}:{(20,1),(21,1),(31,1),(70,1),(75,1),(78,1),(79,1),(86,1),(134,1),(146,1),(192,1)}
        46:{1,2,3}:{(80,1)}
        47:{2,3,4}:{(80,1),(81,1),(82,1)}
        48:{1,2,4}:{(22,1),(82,1)}
        49:{2,4,5}:{(23,1),(81,1),(84,1)}
        50:{1,4,5}:{(23,1),(25,1),(85,1),(142,1)}
        51:{3,4,6}:{(23,1),(26,1),(84,1),(85,1),(86,1),(151,1)}
        52:{2,3,4,6}:{(24,1),(28,1),(71,1),(82,1),(87,1),(92,1),(151,1),(153,1)}
        53:{1,2,5}:{(24,1),(25,1),(87,1)}
        54:{2,5,6}:{(26,1),(84,1),(89,1)}
        55:{1,3,5,6}:{(25,1),(26,1),(30,1),(74,1),(85,1),(88,1),(90,1),(143,1),(151,1)}
        56:{3,5,7}:{(26,1),(27,1),(31,1),(86,1),(89,1)}
        57:{2,3,5,7}:{(28,1),(29,1),(76,1),(87,1),(91,1),(92,1),(181,1),(215,1)}
        58:{1,2,6}:{(29,1),(30,1),(92,1)}
        59:{2,6,7}:{(31,1),(89,1)}
        60:{1,3,6,7}:{(30,1),(31,1),(79,1),(90,1),(93,1),(146,1),(183,1)}
        61:{1,2,3,5}:{(32,1),(94,1),(96,1),(101,1),(158,1),(160,1)}
        62:{3,4,5}:{(97,1),(98,1),(99,1),(160,1)}
        63:{1,2,4,6}:{(32,1),(33,1),(35,1),(96,1),(100,1),(101,1),(106,1)}
        64:{2,3,5}:{(33,1),(97,1),(101,1),(109,1),(160,1)}
        65:{3,5,6}:{(34,1),(99,1),(103,1),(104,1)}
        66:{2,4,5,7}:{(34,1),(37,1),(40,1),(104,1),(111,1),(162,1)}
        67:{1,3,4,7}:{(35,1),(41,1),(100,1),(105,1),(116,1),(204,1),(206,1)}
        68:{1,2,5,7}:{(35,1),(36,1),(101,1),(105,1),(106,1),(117,1),(175,1)}
        69:{2,3,6}:{(36,1),(43,1),(106,1),(114,1)}
        70:{3,6,7}:{(37,1),(104,1),(108,1)}
        71:{3,4,6}:{(38,1),(41,1),(109,1),(114,1),(169,1)}
        72:{1,2,5}:{(38,1),(109,1)}
        73:{2,5,6}:{(39,1),(43,1),(111,1)}
        74:{1,5,6}:{(39,1),(44,1),(112,1)}
        75:{3,5,7}:{(39,1),(40,1),(45,1),(111,1),(112,1)}
        76:{3,5,7}:{(41,1),(42,1),(109,1),(114,1),(119,1),(160,1),(177,1),(204,1)}
        77:{1,2,4,6}:{(42,1),(43,1),(44,1),(58,1),(106,1),(110,1),(114,1),(126,1),(167,1),(169,1)}
        78:{2,4,6,7}:{(43,1),(45,1),(59,1),(107,1),(111,1),(121,1),(162,1)}
        79:{1,4,6,7}:{(44,1),(45,1),(60,1),(108,1),(112,1),(122,1),(163,1)}
        80:{1,2,4}:{(46,1),(47,1),(116,1),(117,1)}
        81:{2,3,5}:{(47,1),(49,1),(117,1),(118,1),(119,1)}
        82:{3,4}:{(48,1),(119,1)}
        83:{1,2,4,5}:{(48,1),(49,1),(50,1),(53,1),(117,1),(119,1),(120,1),(123,1),(173,1)}
        84:{2,4,6}:{(49,1),(51,1),(54,1),(118,1),(121,1)}
        85:{1,4,6}:{(50,1),(51,1),(55,1),(122,1),(169,1)}
        86:{3,4,7}:{(51,1),(56,1),(121,1),(122,1),(177,1)}
        87:{2,3,5}:{(52,1),(53,1),(109,1),(119,1),(123,1)}
        88:{1,2,5,6}:{(53,1),(54,1),(55,1),(58,1),(120,1),(124,1),(125,1),(210,1)}
        89:{2,5,7}:{(54,1),(56,1),(59,1),(121,1)}
        90:{1,3,5,7}:{(55,1),(56,1),(60,1),(112,1),(122,1),(125,1),(170,1),(177,1)}
        91:{2,4,5,7}:{(57,1),(113,1),(123,1),(126,1),(179,1),(180,1),(200,1),(224,1)}
        92:{2,3,6}:{(57,1),(58,1),(114,1),(126,1)}
        93:{1,2,6,7}:{(58,1),(59,1),(60,1),(125,1),(127,1),(202,1),(227,1)}
        94:{1,2,3}:{(128,1)}
        95:{1,3,4}:{(128,1),(129,1),(130,1)}
        96:{1,2,4}:{(61,1),(130,1)}
        97:{2,4,5}:{(62,1),(64,1),(132,1),(142,1)}
        98:{1,4,5}:{(62,1),(129,1),(133,1)}
        99:{3,4,6}:{(62,1),(65,1),(132,1),(133,1),(134,1),(185,1)}
       100:{1,3,4,6}:{(63,1),(67,1),(71,1),(130,1),(135,1),(140,1),(185,1),(187,1)}
       101:{1,2,5}:{(63,1),(64,1),(135,1)}
       102:{2,3,5,6}:{(64,1),(65,1),(69,1),(73,1),(132,1),(136,1),(137,1),(143,1),(185,1)}
       103:{1,5,6}:{(65,1),(133,1),(138,1)}
       104:{3,5,7}:{(65,1),(66,1),(70,1),(134,1),(138,1)}
       105:{1,3,5,7}:{(67,1),(68,1),(76,1),(135,1),(139,1),(140,1),(147,1),(195,1)}
       106:{1,2,6}:{(68,1),(69,1),(140,1)}
       107:{2,3,6,7}:{(69,1),(70,1),(78,1),(137,1),(141,1),(146,1),(149,1)}
       108:{1,6,7}:{(70,1),(138,1)}
       109:{3,5}:{(71,1),(72,1),(142,1)}
       110:{1,2,5,6}:{(72,1),(73,1),(74,1),(77,1),(143,1),(144,1),(155,1),(189,1)}
       111:{2,5,7}:{(73,1),(75,1),(78,1)}
       112:{1,5,7}:{(74,1),(75,1),(79,1)}
       113:{3,4,5,7}:{(76,1),(91,1),(139,1),(142,1),(145,1),(150,1),(184,1),(192,1),(193,1),(197,1),(217,1)}
       114:{3,6}:{(76,1),(77,1)}
       115:{1,2,4,6,7}:{(77,1),(78,1),(79,1),(93,1),(141,1),(144,1),(146,1),(152,1),(156,1),(186,1),(190,1),(192,1)}
       116:{1,3,4}:{(80,1),(82,1),(147,1)}
       117:{1,2,5}:{(80,1),(81,1),(147,1),(148,1)}
       118:{2,3,6}:{(81,1),(84,1),(148,1),(149,1),(151,1)}
       119:{3,5}:{(82,1),(83,1),(151,1)}
       120:{1,2,4,6}:{(83,1),(84,1),(85,1),(88,1),(148,1),(151,1),(152,1),(153,1),(194,1)}
       121:{2,4,7}:{(84,1),(86,1),(89,1),(149,1)}
       122:{1,4,7}:{(85,1),(86,1),(90,1),(192,1)}
       123:{2,4,5}:{(87,1),(142,1),(150,1),(153,1)}
       124:{2,3,5,6}:{(87,1),(88,1),(92,1),(143,1),(151,1),(153,1),(154,1),(155,1),(196,1)}
       125:{1,2,5,7}:{(88,1),(89,1),(90,1),(93,1),(152,1),(154,1),(221,1)}
       126:{2,4,6}:{(91,1),(92,1),(145,1),(155,1)}
       127:{2,3,6,7}:{(92,1),(93,1),(146,1),(154,1),(156,1),(215,1),(222,1)}
       128:{1,2,4}:{(94,1),(95,1),(157,1),(158,1)}
       129:{1,3,5}:{(95,1),(98,1),(158,1),(159,1),(160,1)}
       130:{3,4}:{(96,1),(160,1)}
       131:{1,2,4,5}:{(96,1),(97,1),(98,1),(101,1),(158,1),(160,1),(161,1),(164,1),(200,1)}
       132:{2,4,6}:{(97,1),(99,1),(102,1),(162,1),(169,1)}
       133:{1,4,6}:{(98,1),(99,1),(103,1),(159,1),(163,1)}
       134:{3,4,7}:{(99,1),(104,1),(162,1),(163,1),(204,1)}
       135:{1,3,5}:{(100,1),(101,1),(109,1),(160,1),(164,1)}
       136:{1,2,5,6}:{(101,1),(102,1),(103,1),(106,1),(161,1),(165,1),(166,1),(223,1)}
       137:{2,3,5,7}:{(102,1),(104,1),(107,1),(111,1),(162,1),(166,1),(170,1),(204,1)}
       138:{1,5,7}:{(103,1),(104,1),(108,1),(163,1)}
       139:{1,4,5,7}:{(105,1),(113,1),(164,1),(167,1),(173,1),(206,1),(207,1),(211,1)}
       140:{1,3,6}:{(105,1),(106,1),(114,1),(167,1)}
       141:{1,2,6,7}:{(106,1),(107,1),(108,1),(166,1),(168,1),(175,1),(230,1)}
       142:{4,5}:{(109,1),(169,1)}
       143:{3,5,6}:{(109,1),(110,1),(114,1),(169,1),(170,1)}
       144:{1,2,5,7}:{(110,1),(111,1),(112,1),(115,1),(170,1),(180,1),(207,1)}
       145:{3,4,6}:{(113,1),(114,1),(126,1),(167,1),(169,1),(171,1)}
       146:{3,6,7}:{(114,1),(115,1),(170,1),(177,1),(204,1)}
       147:{1,3,5}:{(116,1),(117,1),(119,1),(173,1),(174,1)}
       148:{1,2,6}:{(117,1),(118,1),(174,1),(175,1)}
       149:{2,3,7}:{(118,1),(121,1),(175,1),(177,1)}
       150:{3,4,5}:{(119,1),(123,1),(173,1),(176,1)}
       151:{3,6}:{(119,1),(120,1),(177,1)}
       152:{1,2,4,7}:{(120,1),(121,1),(122,1),(125,1),(175,1),(177,1),(179,1),(211,1)}
       153:{2,4,6}:{(123,1),(124,1),(169,1),(176,1),(179,1)}
       154:{2,3,5,7}:{(124,1),(125,1),(127,1),(170,1),(177,1),(179,1),(180,1),(212,1)}
       155:{2,5,6}:{(126,1),(171,1),(180,1)}
       156:{2,4,6,7}:{(126,1),(127,1),(172,1),(179,1),(180,1),(224,1),(230,1)}
       157:{2,3,4}:{(128,1),(130,1),(181,1)}
       158:{1,2,5}:{(128,1),(129,1),(181,1),(182,1)}
       159:{1,3,6}:{(129,1),(133,1),(182,1),(183,1),(185,1)}
       160:{3,5}:{(130,1),(131,1),(185,1)}
       161:{1,2,4,6}:{(131,1),(132,1),(133,1),(136,1),(182,1),(185,1),(186,1),(187,1),(214,1)}
       162:{2,4,7}:{(132,1),(134,1),(137,1),(192,1)}
       163:{1,4,7}:{(133,1),(134,1),(138,1),(183,1)}
       164:{1,4,5}:{(135,1),(142,1),(184,1),(187,1)}
       165:{1,3,5,6}:{(135,1),(136,1),(140,1),(143,1),(185,1),(187,1),(188,1),(189,1),(216,1)}
       166:{1,2,5,7}:{(136,1),(137,1),(138,1),(141,1),(186,1),(188,1),(228,1)}
       167:{1,4,6}:{(139,1),(140,1),(145,1),(189,1)}
       168:{1,3,6,7}:{(140,1),(141,1),(146,1),(188,1),(190,1),(195,1),(229,1)}
       169:{4,6}:{(142,1),(143,1),(192,1)}
       170:{3,5,7}:{(143,1),(144,1),(146,1),(192,1)}
       171:{3,5,6}:{(145,1),(155,1),(189,1),(191,1),(193,1)}
       172:{3,4,6,7}:{(145,1),(146,1),(156,1),(190,1),(192,1),(193,1),(197,1),(217,1),(220,1),(222,1),(229,1)}
       173:{1,4,5}:{(147,1),(150,1),(194,1)}
       174:{1,3,6}:{(147,1),(148,1),(151,1),(194,1),(195,1)}
       175:{1,2,7}:{(148,1),(149,1),(195,1)}
       176:{3,4,6}:{(150,1),(151,1),(153,1),(194,1),(196,1),(197,1)}
       177:{3,7}:{(151,1),(152,1)}
       178:{2,4,5,6}:{(153,1),(155,1),(191,1),(196,1),(198,1)}
       179:{2,4,7}:{(153,1),(154,1),(192,1),(197,1)}
       180:{2,5,7}:{(155,1),(156,1),(193,1)}
       181:{2,3,5}:{(157,1),(158,1),(160,1),(200,1),(201,1)}
       182:{1,2,6}:{(158,1),(159,1),(201,1),(202,1)}
       183:{1,3,7}:{(159,1),(163,1),(202,1),(204,1)}
       184:{3,4,5}:{(160,1),(164,1),(200,1),(203,1)}
       185:{3,6}:{(160,1),(161,1),(204,1)}
       186:{1,2,4,7}:{(161,1),(162,1),(163,1),(166,1),(202,1),(204,1),(206,1),(224,1)}
       187:{1,4,6}:{(164,1),(165,1),(169,1),(203,1),(206,1)}
       188:{1,3,5,7}:{(165,1),(166,1),(168,1),(170,1),(204,1),(206,1),(207,1),(225,1)}
       189:{1,5,6}:{(167,1),(171,1),(207,1)}
       190:{1,4,6,7}:{(167,1),(168,1),(172,1),(206,1),(207,1),(211,1),(227,1)}
       191:{4,5,6}:{(169,1),(171,1),(208,1)}
       192:{4,7}:{(169,1),(170,1)}
       193:{3,5,7}:{(171,1),(172,1),(180,1),(207,1),(208,1)}
       194:{1,4,6}:{(173,1),(174,1),(176,1),(210,1),(211,1)}
       195:{1,3,7}:{(174,1),(175,1),(177,1),(211,1)}
       196:{3,5,6}:{(176,1),(178,1),(210,1),(212,1)}
       197:{3,4,7}:{(176,1),(177,1),(179,1),(211,1),(212,1)}
       198:{2,4,5,7}:{(178,1),(179,1),(180,1),(208,1),(212,1),(213,1)}
       199:{2,5,6,7}:{(180,1),(209,1),(213,1),(230,1)}
       200:{2,4,5}:{(181,1),(184,1),(214,1)}
       201:{2,3,6}:{(181,1),(182,1),(185,1),(214,1),(215,1)}
       202:{1,2,7}:{(182,1),(183,1),(215,1)}
       203:{3,4,6}:{(184,1),(185,1),(187,1),(214,1),(216,1),(217,1)}
       204:{3,7}:{(185,1),(186,1)}
       205:{1,4,5,6}:{(187,1),(189,1),(191,1),(216,1),(218,1)}
       206:{1,4,7}:{(187,1),(188,1),(192,1),(217,1)}
       207:{1,5,7}:{(189,1),(190,1),(193,1)}
       208:{4,5,7}:{(191,1),(192,1),(193,1),(220,1)}
       209:{3,5,6,7}:{(193,1),(199,1),(219,1),(220,1),(222,1),(229,1)}
       210:{1,5,6}:{(194,1),(196,1),(221,1)}
       211:{1,4,7}:{(194,1),(195,1),(197,1),(221,1)}
       212:{3,5,7}:{(196,1),(197,1),(198,1),(221,1),(222,1)}
       213:{2,4,6,7}:{(198,1),(199,1),(220,1),(222,1)}
       214:{2,4,6}:{(200,1),(201,1),(203,1),(223,1),(224,1)}
       215:{2,3,7}:{(201,1),(202,1),(204,1),(224,1)}
       216:{3,5,6}:{(203,1),(205,1),(223,1),(225,1)}
       217:{3,4,7}:{(203,1),(204,1),(206,1),(224,1),(225,1)}
       218:{1,4,5,7}:{(205,1),(206,1),(207,1),(208,1),(225,1),(226,1)}
       219:{1,5,6,7}:{(207,1),(209,1),(226,1),(227,1)}
       220:{4,6,7}:{(208,1),(209,1)}
       221:{1,5,7}:{(210,1),(211,1),(212,1),(227,1)}
       222:{3,6,7}:{(212,1),(213,1),(227,1)}
       223:{2,5,6}:{(214,1),(216,1),(228,1)}
       224:{2,4,7}:{(214,1),(215,1),(217,1),(228,1)}
       225:{3,5,7}:{(216,1),(217,1),(218,1),(228,1),(229,1)}
       226:{1,4,6,7}:{(218,1),(219,1),(220,1),(229,1)}
       227:{1,6,7}:{(221,1),(222,1)}
       228:{2,5,7}:{(223,1),(224,1),(225,1),(230,1)}
       229:{3,6,7}:{(225,1),(226,1),(230,1)}
       230:{2,6,7}:{(228,1),(229,1)}

1496 :   0:{1,2,3,5,6}:{(1,1),(2,1),(8,1),(30,1),(31,1),(34,1),(37,1),(38,1),(39,1),(76,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(42,1),(43,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(19,1),(25,1),(50,1),(51,1),(55,1),(59,1)}
         3:{1,2,4,5}:{(1,1),(8,1),(27,1),(28,1),(34,1)}
         4:{3,4,6}:{(1,1),(8,1),(12,1),(37,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(12,1),(62,1),(63,1)}
         6:{1,2,3,6,7}:{(2,1),(13,1),(37,1),(71,1),(72,1),(76,1)}
         7:{1,2,4,5,6}:{(3,1),(15,1),(16,1),(20,1),(42,1),(43,1),(49,1),(86,1),(87,1),(88,1)}
         8:{3,5}:{(3,1),(4,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(19,1),(20,1),(25,1),(46,1),(47,1),(55,1),(60,1)}
        10:{1,3,4,6}:{(4,1),(17,1),(21,1),(22,1),(42,1),(56,1),(78,1),(83,1),(104,1)}
        11:{2,3,4,6}:{(4,1),(18,1),(21,1),(23,1),(43,1),(57,1),(78,1),(83,1),(104,1)}
        12:{3,4,7}:{(4,1),(5,1),(19,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(20,1),(24,1),(25,1),(80,1),(81,1)}
        14:{3,4,5}:{(8,1),(26,1),(27,1),(28,1),(65,1)}
        15:{3,5,6}:{(7,1),(8,1),(26,1),(32,1),(37,1)}
        16:{1,2,4,5,7}:{(7,1),(32,1),(33,1),(62,1),(63,1),(70,1),(95,1),(96,1),(97,1)}
        17:{1,3,5}:{(8,1),(10,1),(27,1),(34,1),(65,1),(108,1)}
        18:{2,3,5}:{(8,1),(11,1),(28,1),(34,1),(65,1),(108,1)}
        19:{3,5,7}:{(8,1),(9,1),(12,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(37,1),(38,1),(67,1),(68,1),(76,1),(77,1)}
        21:{1,2,4,6}:{(10,1),(11,1),(34,1),(39,1),(40,1),(74,1),(76,1)}
        22:{1,3,4,7}:{(10,1),(12,1),(35,1),(40,1),(62,1),(93,1),(98,1)}
        23:{2,3,4,7}:{(11,1),(12,1),(36,1),(40,1),(63,1),(93,1),(98,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(41,1),(77,1)}
        25:{1,2,5,7}:{(13,1),(38,1),(41,1),(95,1),(96,1)}
        26:{3,4,6}:{(14,1),(15,1),(42,1),(43,1),(44,1),(78,1)}
        27:{1,4,5}:{(14,1),(17,1),(42,1),(111,1)}
        28:{2,4,5}:{(14,1),(18,1),(43,1),(111,1)}
        29:{3,4,5,7}:{(14,1),(19,1),(44,1),(46,1),(47,1),(48,1),(60,1),(82,1),(84,1),(110,1),(111,1)}
        30:{1,3,5,6}:{(15,1),(17,1),(42,1),(49,1),(50,1),(56,1),(78,1),(86,1),(105,1)}
        31:{2,3,5,6}:{(15,1),(18,1),(43,1),(49,1),(51,1),(57,1),(78,1),(87,1),(105,1)}
        32:{3,5,7}:{(15,1),(16,1),(44,1),(52,1)}
        33:{1,2,4,6,7}:{(16,1),(20,1),(52,1),(53,1),(80,1),(81,1),(89,1),(90,1)}
        34:{1,2,5}:{(17,1),(18,1),(21,1)}
        35:{1,3,5,7}:{(17,1),(19,1),(22,1),(46,1),(55,1),(56,1),(84,1)}
        36:{2,3,5,7}:{(18,1),(19,1),(23,1),(47,1),(55,1),(57,1),(84,1)}
        37:{3,6}:{(19,1),(20,1)}
        38:{1,2,5,6}:{(20,1),(25,1),(58,1),(86,1),(87,1)}
        39:{1,2,3,6}:{(21,1),(54,1),(59,1),(78,1)}
        40:{1,2,4,7}:{(21,1),(22,1),(23,1),(55,1),(59,1)}
        41:{3,5,7}:{(24,1),(25,1),(58,1),(60,1)}
        42:{1,4,6}:{(26,1),(27,1),(30,1),(62,1),(109,1)}
        43:{2,4,6}:{(26,1),(28,1),(31,1),(63,1),(109,1)}
        44:{3,4,7}:{(26,1),(32,1),(62,1),(63,1),(93,1)}
        45:{1,2,4,5}:{(27,1),(28,1),(34,1),(61,1),(65,1),(74,1)}
        46:{1,4,5,7}:{(27,1),(29,1),(35,1),(62,1),(67,1),(95,1)}
        47:{2,4,5,7}:{(28,1),(29,1),(36,1),(63,1),(68,1),(96,1)}
        48:{3,4,6}:{(29,1),(37,1),(67,1),(68,1),(69,1),(77,1),(99,1),(109,1)}
        49:{1,2,5,6}:{(30,1),(31,1),(34,1),(61,1),(70,1),(76,1)}
        50:{1,3,5,7}:{(30,1),(32,1),(62,1),(70,1),(71,1),(93,1),(95,1),(107,1)}
        51:{2,3,5,7}:{(31,1),(32,1),(63,1),(70,1),(72,1),(93,1),(96,1),(107,1)}
        52:{3,6,7}:{(32,1),(33,1),(37,1)}
        53:{1,2,5,6,7}:{(33,1),(38,1),(73,1),(95,1),(96,1)}
        54:{1,2,3,5}:{(34,1),(39,1),(65,1),(74,1)}
        55:{1,2,5,7}:{(34,1),(35,1),(36,1),(40,1),(76,1)}
        56:{1,3,6}:{(35,1),(37,1),(67,1),(76,1),(99,1)}
        57:{2,3,6}:{(36,1),(37,1),(68,1),(76,1),(99,1)}
        58:{3,5,6}:{(37,1),(38,1),(41,1),(77,1)}
        59:{1,2,3,7}:{(39,1),(40,1),(93,1)}
        60:{4,5,7}:{(41,1),(77,1)}
        61:{1,2,4,6}:{(42,1),(43,1),(45,1),(49,1),(78,1),(79,1)}
        62:{1,4,7}:{(42,1),(44,1),(50,1),(110,1)}
        63:{2,4,7}:{(43,1),(44,1),(51,1),(110,1)}
        64:{3,4,6,7}:{(44,1),(48,1),(52,1),(80,1),(81,1),(82,1),(90,1),(102,1),(110,1)}
        65:{3,5}:{(45,1),(78,1),(83,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(55,1),(79,1),(84,1),(85,1),(91,1),(103,1),(106,1),(110,1),(111,1)}
        67:{1,4,6}:{(46,1),(48,1),(56,1),(86,1)}
        68:{2,4,6}:{(47,1),(48,1),(57,1),(87,1)}
        69:{3,5,6}:{(48,1),(82,1),(86,1),(87,1),(88,1)}
        70:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(89,1)}
        71:{1,3,6,7}:{(50,1),(52,1),(56,1),(80,1),(89,1),(102,1)}
        72:{2,3,6,7}:{(51,1),(52,1),(57,1),(81,1),(89,1),(102,1)}
        73:{3,5,6,7}:{(52,1),(53,1),(58,1),(82,1),(90,1)}
        74:{1,2,4}:{(54,1),(83,1)}
        75:{1,2,3,5,7}:{(54,1),(55,1),(59,1),(84,1),(91,1),(92,1),(106,1)}
        76:{1,2,6}:{(55,1),(56,1),(57,1)}
        77:{4,6}:{(58,1),(60,1)}
        78:{3,6}:{(61,1),(65,1),(93,1)}
        79:{1,2,4,7}:{(61,1),(62,1),(63,1),(70,1),(93,1)}
        80:{1,4,6,7}:{(62,1),(64,1),(67,1),(71,1),(95,1)}
        81:{2,4,6,7}:{(63,1),(64,1),(68,1),(72,1),(96,1)}
        82:{3,5,7}:{(64,1),(69,1),(95,1),(96,1),(97,1)}
        83:{3,4}:{(65,1),(74,1)}
        84:{3,5,7}:{(65,1),(66,1),(93,1),(98,1),(99,1),(108,1)}
        85:{1,2,4,6}:{(66,1),(67,1),(68,1),(76,1),(99,1),(100,1),(109,1)}
        86:{1,5,6}:{(67,1),(69,1),(95,1)}
        87:{2,5,6}:{(68,1),(69,1),(96,1)}
        88:{4,5,6}:{(69,1),(77,1),(97,1),(109,1)}
        89:{1,2,6,7}:{(70,1),(71,1),(72,1),(76,1)}
        90:{4,6,7}:{(73,1),(77,1),(97,1)}
        91:{1,2,4,7}:{(74,1),(75,1),(98,1),(101,1)}
        92:{1,2,3,6}:{(75,1),(76,1),(99,1),(101,1)}
        93:{3,7}:{(78,1),(79,1)}
        94:{1,2,4,6,7}:{(79,1),(80,1),(81,1),(85,1),(89,1),(102,1),(103,1),(110,1)}
        95:{1,5,7}:{(80,1),(82,1),(86,1)}
        96:{2,5,7}:{(81,1),(82,1),(87,1)}
        97:{4,5,7}:{(82,1),(88,1),(90,1),(110,1)}
        98:{3,4,7}:{(83,1),(84,1),(91,1),(104,1),(110,1)}
        99:{3,6}:{(84,1),(85,1)}
       100:{1,2,5,6}:{(85,1),(86,1),(87,1),(103,1),(105,1),(106,1)}
       101:{1,2,4,6}:{(91,1),(92,1),(104,1),(106,1)}
       102:{3,6,7}:{(93,1),(94,1),(99,1),(107,1)}
       103:{1,2,5,7}:{(94,1),(95,1),(96,1),(100,1),(107,1)}
       104:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       105:{3,5,6}:{(99,1),(100,1),(107,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(108,1)}
       107:{3,5,7}:{(102,1),(103,1),(105,1),(110,1)}
       108:{3,5}:{(104,1),(106,1),(111,1)}
       109:{4,6}:{(105,1),(110,1),(111,1)}
       110:{4,7}:{(107,1),(109,1)}
       111:{4,5}:{(108,1),(109,1)}

1497 :   0:{1,4,5,6,7}:{(1,1),(8,1),(192,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(4,1),(201,1)}
         2:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(31,1),(190,1)}
         3:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(26,1),(31,1),(157,1)}
         4:{2,5,6,7}:{(1,1),(9,1),(206,1)}
         5:{3,4,5,6}:{(7,1),(11,1),(12,1),(36,1),(165,1),(190,1)}
         6:{1,3,4,5,7}:{(13,1),(14,1),(26,1),(60,1),(71,1),(74,1),(104,1),(120,1),(152,1),(156,1)}
         7:{3,4,5,7}:{(2,1),(5,1),(15,1),(16,1),(43,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(176,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(18,1),(199,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(19,1),(20,1),(41,1),(84,1),(133,1)}
        11:{1,4,5,6}:{(5,1),(15,1),(21,1),(145,1),(176,1)}
        12:{2,4,5,6}:{(5,1),(16,1),(22,1),(181,1),(199,1)}
        13:{1,3,4,6}:{(6,1),(21,1),(24,1),(52,1),(130,1),(174,1),(176,1)}
        14:{1,2,4,5,7}:{(6,1),(24,1),(25,1),(41,1),(55,1),(79,1),(91,1),(95,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(11,1),(26,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(12,1),(27,1)}
        17:{1,3,4,6,7}:{(8,1),(13,1),(26,1),(29,1),(31,1),(60,1),(63,1)}
        18:{2,3,6,7}:{(9,1),(27,1),(30,1),(31,1),(188,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(28,1),(30,1),(31,1),(32,1),(63,1),(153,1)}
        20:{2,3,5,6,7}:{(10,1),(31,1),(32,1),(58,1),(64,1),(108,1)}
        21:{1,3,5,6}:{(11,1),(13,1),(26,1),(34,1),(36,1),(109,1),(120,1)}
        22:{2,3,5,6}:{(12,1),(27,1),(33,1),(35,1),(36,1),(162,1),(188,1)}
        23:{1,2,4,5,6}:{(11,1),(12,1),(28,1),(34,1),(35,1),(36,1),(65,1),(69,1),(70,1),(109,1),(116,1),(153,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(34,1),(37,1),(69,1)}
        25:{2,3,5,7}:{(14,1),(37,1),(39,1),(73,1),(152,1)}
        26:{1,3,5,7}:{(15,1),(17,1),(21,1),(41,1),(43,1),(84,1)}
        27:{2,3,5,7}:{(16,1),(18,1),(22,1),(40,1),(42,1),(43,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(19,1),(23,1),(41,1),(42,1),(43,1),(47,1),(79,1),(80,1),(84,1)}
        29:{1,2,4,6,7}:{(17,1),(24,1),(41,1),(44,1),(79,1)}
        30:{1,2,6,7}:{(18,1),(42,1),(45,1),(171,1)}
        31:{3,6,7}:{(19,1),(43,1),(174,1)}
        32:{2,4,6,7}:{(20,1),(46,1),(47,1),(79,1),(129,1)}
        33:{2,3,4,6}:{(22,1),(40,1),(48,1),(49,1),(52,1)}
        34:{1,2,5,6}:{(21,1),(24,1),(41,1),(50,1),(95,1)}
        35:{1,2,5,6}:{(22,1),(42,1),(49,1),(51,1),(139,1),(171,1)}
        36:{3,5,6}:{(23,1),(43,1),(52,1),(141,1),(174,1)}
        37:{2,3,6}:{(24,1),(25,1),(174,1)}
        38:{1,2,3,5,7}:{(25,1),(53,1),(55,1),(95,1),(97,1)}
        39:{2,3,4,7}:{(25,1),(54,1),(55,1),(79,1),(127,1)}
        40:{2,3,4,7}:{(27,1),(33,1),(57,1),(60,1)}
        41:{1,2,5,7}:{(26,1),(29,1),(34,1),(58,1)}
        42:{1,2,5,7}:{(27,1),(30,1),(35,1),(57,1),(59,1)}
        43:{3,5,7}:{(28,1),(31,1),(36,1),(60,1)}
        44:{2,3,6,7}:{(29,1),(31,1),(37,1),(58,1)}
        45:{1,3,6,7}:{(30,1),(31,1),(59,1),(63,1),(151,1)}
        46:{3,4,6,7}:{(31,1),(32,1),(60,1),(63,1),(64,1),(105,1)}
        47:{2,4,5,7}:{(32,1),(64,1),(65,1)}
        48:{2,3,4,5}:{(33,1),(66,1),(71,1),(159,1),(162,1)}
        49:{1,2,4,6}:{(33,1),(35,1),(57,1),(66,1),(67,1),(70,1)}
        50:{2,3,5,6}:{(34,1),(36,1),(37,1),(58,1),(69,1),(73,1)}
        51:{1,3,5,6}:{(35,1),(36,1),(59,1),(67,1),(70,1),(109,1),(114,1),(151,1)}
        52:{3,4,6}:{(36,1),(60,1),(69,1),(70,1),(71,1)}
        53:{1,2,3,6}:{(37,1),(38,1),(72,1),(123,1)}
        54:{2,3,4,6}:{(37,1),(39,1),(69,1),(72,1),(73,1),(115,1)}
        55:{1,2,4,7}:{(38,1),(39,1),(72,1),(74,1)}
        56:{2,3,4,5,7}:{(39,1),(73,1),(75,1),(76,1),(103,1),(122,1),(152,1),(165,1),(187,1),(198,1)}
        57:{1,2,4,7}:{(40,1),(42,1),(49,1),(77,1),(80,1)}
        58:{2,3,5,7}:{(41,1),(43,1),(44,1),(50,1),(79,1)}
        59:{1,3,5,7}:{(42,1),(43,1),(45,1),(51,1),(77,1),(80,1),(84,1)}
        60:{3,4,7}:{(43,1),(52,1),(79,1),(80,1)}
        61:{1,2,3,6,7}:{(44,1),(45,1),(53,1),(78,1),(82,1),(148,1),(171,1),(174,1),(200,1)}
        62:{2,3,4,6,7}:{(44,1),(46,1),(54,1),(79,1),(82,1),(83,1),(127,1),(129,1),(174,1)}
        63:{1,4,6,7}:{(45,1),(46,1),(80,1),(84,1),(130,1)}
        64:{3,5,7}:{(46,1),(47,1),(84,1),(85,1)}
        65:{2,4,5,6}:{(47,1),(85,1),(129,1)}
        66:{1,2,4,5}:{(48,1),(49,1),(87,1),(92,1),(136,1),(139,1)}
        67:{1,3,6}:{(49,1),(77,1),(87,1)}
        68:{1,2,3,5,6}:{(50,1),(51,1),(53,1),(78,1),(88,1),(90,1),(95,1),(133,1),(139,1),(141,1),(146,1),(171,1),(174,1),(182,1)}
        69:{2,4,6}:{(50,1),(52,1),(79,1),(91,1)}
        70:{1,4,6}:{(51,1),(52,1),(80,1),(92,1)}
        71:{3,4,5}:{(52,1),(91,1),(92,1),(141,1)}
        72:{1,2,4,6}:{(53,1),(54,1),(55,1),(94,1),(95,1)}
        73:{2,3,5}:{(54,1),(91,1),(95,1),(141,1)}
        74:{1,3,4,7}:{(55,1),(94,1),(97,1),(127,1),(186,1)}
        75:{1,2,4,5,7}:{(55,1),(56,1),(95,1),(97,1),(98,1),(145,1),(147,1),(186,1)}
        76:{2,3,4,6}:{(56,1),(96,1),(98,1),(129,1),(174,1),(184,1),(199,1)}
        77:{1,3,7}:{(57,1),(67,1)}
        78:{1,2,3,5,7}:{(58,1),(59,1),(61,1),(68,1),(100,1),(102,1),(107,1),(150,1),(152,1),(169,1),(197,1)}
        79:{2,4,7}:{(58,1),(60,1),(69,1)}
        80:{1,4,7}:{(59,1),(60,1),(70,1)}
        81:{3,4,5,7}:{(60,1),(64,1),(71,1),(103,1),(104,1),(105,1),(152,1)}
        82:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(72,1),(102,1),(106,1),(107,1),(153,1),(207,1)}
        83:{2,3,5,7}:{(62,1),(64,1),(73,1),(103,1),(107,1),(108,1),(152,1)}
        84:{1,5,7}:{(63,1),(64,1),(109,1)}
        85:{3,5,6}:{(64,1),(65,1),(105,1),(109,1)}
        86:{2,4,5,6,7}:{(65,1),(110,1),(154,1)}
        87:{1,3,5}:{(66,1),(67,1),(112,1)}
        88:{1,2,3,6}:{(67,1),(100,1),(111,1),(113,1),(194,1)}
        89:{1,3,4,6}:{(67,1),(70,1),(101,1),(112,1),(113,1),(114,1),(115,1),(151,1)}
        90:{1,2,4,6}:{(68,1),(69,1),(70,1),(102,1),(115,1),(116,1),(168,1),(196,1)}
        91:{2,4,5}:{(69,1),(71,1),(73,1)}
        92:{1,4,5}:{(70,1),(71,1),(114,1)}
        93:{3,4,5,6}:{(71,1),(105,1),(117,1),(118,1),(119,1),(166,1)}
        94:{1,3,4,6}:{(72,1),(74,1),(115,1),(120,1),(123,1),(168,1)}
        95:{1,2,5}:{(72,1),(73,1),(120,1)}
        96:{2,3,5,6}:{(73,1),(76,1),(117,1),(121,1),(122,1),(166,1),(206,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(120,1),(123,1),(152,1)}
        98:{1,2,4,6}:{(75,1),(76,1),(121,1),(123,1),(168,1)}
        99:{2,3,4,6,7}:{(76,1),(122,1),(124,1),(154,1),(191,1),(198,1),(207,1)}
       100:{1,2,3,7}:{(77,1),(88,1),(125,1),(204,1)}
       101:{1,3,4,7}:{(77,1),(80,1),(89,1),(125,1),(126,1),(127,1)}
       102:{1,2,4,7}:{(78,1),(79,1),(80,1),(90,1),(127,1),(186,1),(205,1)}
       103:{2,4,5,7}:{(79,1),(81,1),(83,1),(91,1),(129,1)}
       104:{1,4,5,7}:{(80,1),(81,1),(84,1),(92,1),(126,1),(130,1)}
       105:{3,4,6}:{(81,1),(85,1),(129,1),(130,1),(174,1)}
       106:{1,3,4,6,7}:{(82,1),(94,1),(127,1),(132,1),(148,1),(174,1),(176,1),(186,1),(202,1)}
       107:{1,2,5,7}:{(82,1),(83,1),(84,1),(95,1),(132,1),(133,1),(209,1)}
       108:{2,3,5,6}:{(83,1),(85,1),(129,1),(133,1),(174,1)}
       109:{1,5,6}:{(84,1),(85,1),(130,1)}
       110:{3,5,6,7}:{(85,1),(86,1),(131,1),(135,1)}
       111:{1,2,3,5}:{(87,1),(88,1),(136,1),(139,1),(178,1)}
       112:{1,3,4}:{(87,1),(136,1)}
       113:{1,2,4,6}:{(88,1),(89,1),(125,1),(136,1),(138,1),(139,1),(171,1)}
       114:{1,3,5}:{(89,1),(92,1),(139,1),(141,1)}
       115:{3,4,6}:{(90,1),(127,1),(141,1),(174,1)}
       116:{1,2,4,5}:{(90,1),(91,1),(92,1),(95,1),(139,1),(141,1),(145,1),(181,1)}
       117:{2,4,5,6}:{(91,1),(93,1),(96,1),(129,1),(143,1)}
       118:{1,4,5,6}:{(92,1),(93,1),(130,1),(140,1),(144,1)}
       119:{3,4,5,7}:{(93,1),(131,1),(143,1),(144,1),(185,1)}
       120:{1,3,5}:{(94,1),(95,1),(141,1),(145,1)}
       121:{1,2,5,6}:{(95,1),(96,1),(98,1),(146,1),(147,1)}
       122:{2,3,5,7}:{(96,1),(99,1),(143,1),(147,1),(185,1),(209,1)}
       123:{1,3,6}:{(97,1),(98,1),(174,1)}
       124:{1,2,4,6,7}:{(98,1),(99,1),(147,1),(148,1),(186,1)}
       125:{1,2,4,7}:{(100,1),(101,1),(113,1),(149,1),(150,1)}
       126:{1,3,5,7}:{(101,1),(104,1),(114,1),(150,1),(151,1),(152,1)}
       127:{3,4,7}:{(102,1),(115,1),(152,1)}
       128:{1,2,4,5,7}:{(102,1),(103,1),(104,1),(107,1),(116,1),(150,1),(152,1),(153,1),(156,1),(187,1)}
       129:{2,4,6}:{(103,1),(105,1),(108,1)}
       130:{1,4,6}:{(104,1),(105,1),(109,1),(151,1)}
       131:{3,4,6,7}:{(105,1),(110,1),(119,1),(154,1),(155,1),(191,1)}
       132:{1,3,5,7}:{(106,1),(107,1),(120,1),(152,1),(156,1),(157,1),(208,1)}
       133:{1,2,5,6}:{(107,1),(108,1),(109,1),(153,1),(157,1),(206,1)}
       134:{2,3,5,6,7}:{(108,1),(110,1),(122,1),(154,1),(158,1),(191,1)}
       135:{1,5,6,7}:{(109,1),(110,1),(155,1)}
       136:{1,2,4}:{(111,1),(112,1),(159,1)}
       137:{1,3,4,5}:{(112,1),(114,1),(160,1),(161,1),(165,1)}
       138:{2,3,4,6}:{(113,1),(115,1),(149,1),(159,1),(162,1),(188,1),(194,1),(196,1)}
       139:{1,2,5}:{(113,1),(114,1),(162,1)}
       140:{1,3,5,6}:{(114,1),(118,1),(151,1),(161,1),(163,1),(164,1),(166,1)}
       141:{3,5}:{(115,1),(116,1)}
       142:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(121,1),(153,1),(163,1),(166,1),(167,1),(168,1),(192,1),(196,1),(206,1)}
       143:{2,4,5,7}:{(117,1),(119,1),(122,1),(154,1)}
       144:{1,4,5,7}:{(118,1),(119,1),(155,1),(164,1)}
       145:{1,4,5}:{(120,1),(165,1),(168,1)}
       146:{1,3,5,6}:{(120,1),(121,1),(123,1),(166,1),(168,1),(169,1)}
       147:{1,2,5,7}:{(121,1),(122,1),(124,1),(169,1)}
       148:{1,3,6,7}:{(123,1),(124,1),(169,1),(191,1)}
       149:{2,3,4,7}:{(125,1),(127,1),(138,1),(170,1),(204,1),(205,1)}
       150:{1,2,5,7}:{(125,1),(126,1),(139,1),(170,1),(171,1)}
       151:{1,3,6}:{(126,1),(130,1),(171,1),(174,1)}
       152:{3,5,7}:{(127,1),(128,1),(141,1),(174,1)}
       153:{1,2,4,6}:{(128,1),(129,1),(130,1),(133,1),(171,1),(174,1),(176,1),(199,1)}
       154:{2,4,6,7}:{(129,1),(131,1),(134,1),(143,1)}
       155:{1,4,6,7}:{(130,1),(131,1),(135,1),(144,1),(172,1)}
       156:{1,4,5,7}:{(132,1),(145,1),(173,1),(176,1),(186,1)}
       157:{1,3,5,6}:{(132,1),(133,1),(174,1),(176,1),(201,1)}
       158:{1,2,5,6,7}:{(133,1),(134,1),(135,1),(147,1),(175,1),(177,1),(209,1)}
       159:{2,3,4}:{(136,1),(178,1)}
       160:{1,2,4,5}:{(136,1),(137,1),(139,1),(178,1),(179,1),(181,1)}
       161:{1,3,4,6}:{(137,1),(140,1),(179,1),(180,1),(184,1)}
       162:{2,3,5}:{(138,1),(139,1),(141,1),(181,1)}
       163:{1,2,5,6}:{(139,1),(140,1),(171,1),(179,1),(182,1),(183,1)}
       164:{1,3,5,7}:{(140,1),(144,1),(172,1),(180,1),(183,1),(185,1)}
       165:{3,4,5}:{(141,1),(145,1),(181,1),(184,1)}
       166:{3,5,6}:{(141,1),(142,1),(174,1),(184,1),(185,1)}
       167:{1,2,4,5,7}:{(142,1),(143,1),(144,1),(147,1),(175,1),(183,1),(185,1),(186,1),(203,1),(205,1),(209,1)}
       168:{1,4,6}:{(145,1),(146,1),(184,1),(186,1)}
       169:{1,3,5,7}:{(146,1),(147,1),(148,1),(185,1),(186,1)}
       170:{2,3,5,7}:{(149,1),(150,1),(152,1),(162,1),(187,1),(188,1)}
       171:{1,2,6}:{(150,1),(151,1),(188,1)}
       172:{1,3,6,7}:{(151,1),(155,1),(164,1),(189,1),(191,1)}
       173:{3,4,5,7}:{(152,1),(156,1),(165,1),(187,1),(190,1),(198,1),(208,1)}
       174:{3,6}:{(152,1),(153,1)}
       175:{1,2,4,6,7}:{(153,1),(154,1),(155,1),(158,1),(167,1),(189,1),(191,1),(193,1),(207,1)}
       176:{1,4,6}:{(156,1),(157,1),(190,1)}
       177:{1,3,5,6,7}:{(157,1),(158,1),(169,1),(191,1),(193,1),(208,1)}
       178:{2,3,5}:{(159,1),(160,1),(194,1)}
       179:{1,2,4,6}:{(160,1),(161,1),(163,1),(194,1),(195,1),(196,1)}
       180:{1,3,4,7}:{(161,1),(164,1),(195,1),(198,1)}
       181:{2,4,5}:{(162,1),(165,1),(196,1)}
       182:{2,3,5,6}:{(162,1),(163,1),(166,1),(188,1),(194,1),(196,1),(197,1),(206,1)}
       183:{1,2,5,7}:{(163,1),(164,1),(189,1),(195,1),(197,1)}
       184:{3,4,6}:{(165,1),(166,1),(168,1),(196,1),(198,1)}
       185:{3,5,7}:{(166,1),(167,1),(191,1),(198,1)}
       186:{1,4,7}:{(168,1),(169,1),(198,1)}
       187:{2,4,5,7}:{(170,1),(173,1),(181,1),(199,1),(205,1),(209,1)}
       188:{2,3,6}:{(170,1),(171,1),(174,1),(199,1)}
       189:{1,2,6,7}:{(171,1),(172,1),(183,1),(200,1)}
       190:{3,4,6}:{(173,1),(174,1),(176,1),(199,1),(201,1)}
       191:{3,6,7}:{(174,1),(175,1),(185,1)}
       192:{1,4,5,6}:{(176,1),(201,1),(203,1)}
       193:{1,4,6,7}:{(176,1),(177,1),(186,1),(202,1),(203,1)}
       194:{2,3,6}:{(178,1),(179,1),(204,1)}
       195:{1,2,4,7}:{(179,1),(180,1),(183,1),(204,1),(205,1)}
       196:{2,4,6}:{(181,1),(182,1),(184,1),(205,1)}
       197:{2,3,5,7}:{(182,1),(183,1),(185,1),(200,1),(204,1),(205,1),(209,1)}
       198:{3,4,7}:{(184,1),(185,1),(186,1),(205,1)}
       199:{2,4,6}:{(187,1),(188,1),(190,1),(206,1)}
       200:{2,3,6,7}:{(188,1),(189,1),(191,1),(197,1),(207,1)}
       201:{3,5,6}:{(190,1),(192,1),(206,1),(208,1)}
       202:{3,4,6,7}:{(190,1),(191,1),(193,1),(198,1),(207,1),(208,1)}
       203:{1,4,5,7}:{(192,1),(193,1),(208,1)}
       204:{2,3,7}:{(194,1),(195,1)}
       205:{2,4,7}:{(196,1),(197,1),(198,1)}
       206:{2,5,6}:{(199,1),(201,1),(209,1)}
       207:{2,4,6,7}:{(199,1),(200,1),(202,1),(205,1),(209,1)}
       208:{3,5,7}:{(201,1),(202,1),(203,1),(209,1)}
       209:{2,5,7}:{(206,1),(207,1),(208,1)}

1498 :   0:{2,4,5,6,7}:{(1,1),(9,1),(192,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(201,1)}
         2:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(31,1),(190,1)}
         3:{1,5,6,7}:{(1,1),(8,1),(206,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(27,1),(31,1),(157,1)}
         5:{3,4,5,6}:{(7,1),(11,1),(12,1),(36,1),(165,1),(190,1)}
         6:{2,3,4,5,7}:{(13,1),(14,1),(27,1),(60,1),(71,1),(74,1),(103,1),(120,1),(152,1),(156,1)}
         7:{3,4,5,7}:{(2,1),(5,1),(15,1),(16,1),(43,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(199,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(176,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(19,1),(20,1),(42,1),(83,1),(133,1)}
        11:{1,4,5,6}:{(5,1),(15,1),(21,1),(181,1),(199,1)}
        12:{2,4,5,6}:{(5,1),(16,1),(22,1),(145,1),(176,1)}
        13:{2,3,4,6}:{(6,1),(22,1),(24,1),(52,1),(129,1),(174,1),(176,1)}
        14:{1,2,4,5,7}:{(6,1),(24,1),(25,1),(42,1),(55,1),(80,1),(92,1),(95,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(11,1),(26,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(12,1),(27,1)}
        17:{1,3,6,7}:{(8,1),(26,1),(29,1),(31,1),(188,1)}
        18:{2,3,4,6,7}:{(9,1),(13,1),(27,1),(30,1),(31,1),(60,1),(62,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(28,1),(29,1),(31,1),(32,1),(62,1),(153,1)}
        20:{1,3,5,6,7}:{(10,1),(31,1),(32,1),(59,1),(64,1),(109,1)}
        21:{1,3,5,6}:{(11,1),(26,1),(33,1),(34,1),(36,1),(162,1),(188,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(27,1),(35,1),(36,1),(108,1),(120,1)}
        23:{1,2,4,5,6}:{(11,1),(12,1),(28,1),(34,1),(35,1),(36,1),(65,1),(69,1),(70,1),(108,1),(116,1),(153,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(35,1),(37,1),(70,1)}
        25:{1,3,5,7}:{(14,1),(37,1),(39,1),(73,1),(152,1)}
        26:{1,3,5,7}:{(15,1),(17,1),(21,1),(40,1),(41,1),(43,1)}
        27:{2,3,5,7}:{(16,1),(18,1),(22,1),(42,1),(43,1),(83,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(19,1),(23,1),(41,1),(42,1),(43,1),(47,1),(79,1),(80,1),(83,1)}
        29:{1,2,6,7}:{(17,1),(41,1),(44,1),(171,1)}
        30:{1,2,4,6,7}:{(18,1),(24,1),(42,1),(45,1),(80,1)}
        31:{3,6,7}:{(19,1),(43,1),(174,1)}
        32:{1,4,6,7}:{(20,1),(46,1),(47,1),(80,1),(130,1)}
        33:{1,3,4,6}:{(21,1),(40,1),(48,1),(49,1),(52,1)}
        34:{1,2,5,6}:{(21,1),(41,1),(49,1),(50,1),(139,1),(171,1)}
        35:{1,2,5,6}:{(22,1),(24,1),(42,1),(51,1),(95,1)}
        36:{3,5,6}:{(23,1),(43,1),(52,1),(141,1),(174,1)}
        37:{1,3,6}:{(24,1),(25,1),(174,1)}
        38:{1,2,3,5,7}:{(25,1),(53,1),(55,1),(95,1),(97,1)}
        39:{1,3,4,7}:{(25,1),(54,1),(55,1),(80,1),(127,1)}
        40:{1,3,4,7}:{(26,1),(33,1),(57,1),(60,1)}
        41:{1,2,5,7}:{(26,1),(29,1),(34,1),(57,1),(58,1)}
        42:{1,2,5,7}:{(27,1),(30,1),(35,1),(59,1)}
        43:{3,5,7}:{(28,1),(31,1),(36,1),(60,1)}
        44:{2,3,6,7}:{(29,1),(31,1),(58,1),(62,1),(151,1)}
        45:{1,3,6,7}:{(30,1),(31,1),(37,1),(59,1)}
        46:{3,4,6,7}:{(31,1),(32,1),(60,1),(62,1),(64,1),(105,1)}
        47:{1,4,5,7}:{(32,1),(64,1),(65,1)}
        48:{1,3,4,5}:{(33,1),(66,1),(71,1),(159,1),(162,1)}
        49:{1,2,4,6}:{(33,1),(34,1),(57,1),(66,1),(67,1),(69,1)}
        50:{2,3,5,6}:{(34,1),(36,1),(58,1),(67,1),(69,1),(108,1),(114,1),(151,1)}
        51:{1,3,5,6}:{(35,1),(36,1),(37,1),(59,1),(70,1),(73,1)}
        52:{3,4,6}:{(36,1),(60,1),(69,1),(70,1),(71,1)}
        53:{1,2,3,6}:{(37,1),(38,1),(72,1),(123,1)}
        54:{1,3,4,6}:{(37,1),(39,1),(70,1),(72,1),(73,1),(115,1)}
        55:{1,2,4,7}:{(38,1),(39,1),(72,1),(74,1)}
        56:{1,3,4,5,7}:{(39,1),(73,1),(75,1),(76,1),(104,1),(122,1),(152,1),(165,1),(187,1),(198,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(49,1),(77,1),(79,1)}
        58:{2,3,5,7}:{(41,1),(43,1),(44,1),(50,1),(77,1),(79,1),(83,1)}
        59:{1,3,5,7}:{(42,1),(43,1),(45,1),(51,1),(80,1)}
        60:{3,4,7}:{(43,1),(52,1),(79,1),(80,1)}
        61:{1,2,3,6,7}:{(44,1),(45,1),(53,1),(78,1),(82,1),(148,1),(171,1),(174,1),(200,1)}
        62:{2,4,6,7}:{(44,1),(46,1),(79,1),(83,1),(129,1)}
        63:{1,3,4,6,7}:{(45,1),(46,1),(54,1),(80,1),(82,1),(84,1),(127,1),(130,1),(174,1)}
        64:{3,5,7}:{(46,1),(47,1),(83,1),(85,1)}
        65:{1,4,5,6}:{(47,1),(85,1),(130,1)}
        66:{1,2,4,5}:{(48,1),(49,1),(87,1),(91,1),(136,1),(139,1)}
        67:{2,3,6}:{(49,1),(77,1),(87,1)}
        68:{1,2,3,5,6}:{(50,1),(51,1),(53,1),(78,1),(88,1),(90,1),(95,1),(133,1),(139,1),(141,1),(146,1),(171,1),(174,1),(182,1)}
        69:{2,4,6}:{(50,1),(52,1),(79,1),(91,1)}
        70:{1,4,6}:{(51,1),(52,1),(80,1),(92,1)}
        71:{3,4,5}:{(52,1),(91,1),(92,1),(141,1)}
        72:{1,2,4,6}:{(53,1),(54,1),(55,1),(94,1),(95,1)}
        73:{1,3,5}:{(54,1),(92,1),(95,1),(141,1)}
        74:{2,3,4,7}:{(55,1),(94,1),(97,1),(127,1),(186,1)}
        75:{1,2,4,5,7}:{(55,1),(56,1),(95,1),(97,1),(98,1),(145,1),(147,1),(186,1)}
        76:{1,3,4,6}:{(56,1),(96,1),(98,1),(130,1),(174,1),(184,1),(199,1)}
        77:{2,3,7}:{(57,1),(67,1)}
        78:{1,2,3,5,7}:{(58,1),(59,1),(61,1),(68,1),(100,1),(102,1),(107,1),(150,1),(152,1),(169,1),(197,1)}
        79:{2,4,7}:{(58,1),(60,1),(69,1)}
        80:{1,4,7}:{(59,1),(60,1),(70,1)}
        81:{3,4,5,7}:{(60,1),(64,1),(71,1),(103,1),(104,1),(105,1),(152,1)}
        82:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(72,1),(102,1),(106,1),(107,1),(153,1),(207,1)}
        83:{2,5,7}:{(62,1),(64,1),(108,1)}
        84:{1,3,5,7}:{(63,1),(64,1),(73,1),(104,1),(107,1),(109,1),(152,1)}
        85:{3,5,6}:{(64,1),(65,1),(105,1),(108,1)}
        86:{1,4,5,6,7}:{(65,1),(110,1),(155,1)}
        87:{2,3,5}:{(66,1),(67,1),(112,1)}
        88:{1,2,3,6}:{(67,1),(100,1),(111,1),(113,1),(194,1)}
        89:{2,3,4,6}:{(67,1),(69,1),(101,1),(112,1),(113,1),(114,1),(115,1),(151,1)}
        90:{1,2,4,6}:{(68,1),(69,1),(70,1),(102,1),(115,1),(116,1),(168,1),(196,1)}
        91:{2,4,5}:{(69,1),(71,1),(114,1)}
        92:{1,4,5}:{(70,1),(71,1),(73,1)}
        93:{3,4,5,6}:{(71,1),(105,1),(117,1),(118,1),(119,1),(166,1)}
        94:{2,3,4,6}:{(72,1),(74,1),(115,1),(120,1),(123,1),(168,1)}
        95:{1,2,5}:{(72,1),(73,1),(120,1)}
        96:{1,3,5,6}:{(73,1),(76,1),(118,1),(121,1),(122,1),(166,1),(206,1)}
        97:{2,3,5,7}:{(74,1),(75,1),(120,1),(123,1),(152,1)}
        98:{1,2,4,6}:{(75,1),(76,1),(121,1),(123,1),(168,1)}
        99:{1,3,4,6,7}:{(76,1),(122,1),(124,1),(155,1),(191,1),(198,1),(207,1)}
       100:{1,2,3,7}:{(77,1),(88,1),(125,1),(204,1)}
       101:{2,3,4,7}:{(77,1),(79,1),(89,1),(125,1),(126,1),(127,1)}
       102:{1,2,4,7}:{(78,1),(79,1),(80,1),(90,1),(127,1),(186,1),(205,1)}
       103:{2,4,5,7}:{(79,1),(81,1),(83,1),(91,1),(126,1),(129,1)}
       104:{1,4,5,7}:{(80,1),(81,1),(84,1),(92,1),(130,1)}
       105:{3,4,6}:{(81,1),(85,1),(129,1),(130,1),(174,1)}
       106:{2,3,4,6,7}:{(82,1),(94,1),(127,1),(132,1),(148,1),(174,1),(176,1),(186,1),(202,1)}
       107:{1,2,5,7}:{(82,1),(83,1),(84,1),(95,1),(132,1),(133,1),(209,1)}
       108:{2,5,6}:{(83,1),(85,1),(129,1)}
       109:{1,3,5,6}:{(84,1),(85,1),(130,1),(133,1),(174,1)}
       110:{3,5,6,7}:{(85,1),(86,1),(131,1),(134,1)}
       111:{1,2,3,5}:{(87,1),(88,1),(136,1),(139,1),(178,1)}
       112:{2,3,4}:{(87,1),(136,1)}
       113:{1,2,4,6}:{(88,1),(89,1),(125,1),(136,1),(138,1),(139,1),(171,1)}
       114:{2,3,5}:{(89,1),(91,1),(139,1),(141,1)}
       115:{3,4,6}:{(90,1),(127,1),(141,1),(174,1)}
       116:{1,2,4,5}:{(90,1),(91,1),(92,1),(95,1),(139,1),(141,1),(145,1),(181,1)}
       117:{2,4,5,6}:{(91,1),(93,1),(129,1),(140,1),(143,1)}
       118:{1,4,5,6}:{(92,1),(93,1),(96,1),(130,1),(144,1)}
       119:{3,4,5,7}:{(93,1),(131,1),(143,1),(144,1),(185,1)}
       120:{2,3,5}:{(94,1),(95,1),(141,1),(145,1)}
       121:{1,2,5,6}:{(95,1),(96,1),(98,1),(146,1),(147,1)}
       122:{1,3,5,7}:{(96,1),(99,1),(144,1),(147,1),(185,1),(209,1)}
       123:{2,3,6}:{(97,1),(98,1),(174,1)}
       124:{1,2,4,6,7}:{(98,1),(99,1),(147,1),(148,1),(186,1)}
       125:{1,2,4,7}:{(100,1),(101,1),(113,1),(149,1),(150,1)}
       126:{2,3,5,7}:{(101,1),(103,1),(114,1),(150,1),(151,1),(152,1)}
       127:{3,4,7}:{(102,1),(115,1),(152,1)}
       128:{1,2,4,5,7}:{(102,1),(103,1),(104,1),(107,1),(116,1),(150,1),(152,1),(153,1),(156,1),(187,1)}
       129:{2,4,6}:{(103,1),(105,1),(108,1),(151,1)}
       130:{1,4,6}:{(104,1),(105,1),(109,1)}
       131:{3,4,6,7}:{(105,1),(110,1),(119,1),(154,1),(155,1),(191,1)}
       132:{2,3,5,7}:{(106,1),(107,1),(120,1),(152,1),(156,1),(157,1),(208,1)}
       133:{1,2,5,6}:{(107,1),(108,1),(109,1),(153,1),(157,1),(206,1)}
       134:{2,5,6,7}:{(108,1),(110,1),(154,1)}
       135:{1,3,5,6,7}:{(109,1),(110,1),(122,1),(155,1),(158,1),(191,1)}
       136:{1,2,4}:{(111,1),(112,1),(159,1)}
       137:{2,3,4,5}:{(112,1),(114,1),(160,1),(161,1),(165,1)}
       138:{1,3,4,6}:{(113,1),(115,1),(149,1),(159,1),(162,1),(188,1),(194,1),(196,1)}
       139:{1,2,5}:{(113,1),(114,1),(162,1)}
       140:{2,3,5,6}:{(114,1),(117,1),(151,1),(161,1),(163,1),(164,1),(166,1)}
       141:{3,5}:{(115,1),(116,1)}
       142:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(121,1),(153,1),(163,1),(166,1),(167,1),(168,1),(192,1),(196,1),(206,1)}
       143:{2,4,5,7}:{(117,1),(119,1),(154,1),(164,1)}
       144:{1,4,5,7}:{(118,1),(119,1),(122,1),(155,1)}
       145:{2,4,5}:{(120,1),(165,1),(168,1)}
       146:{2,3,5,6}:{(120,1),(121,1),(123,1),(166,1),(168,1),(169,1)}
       147:{1,2,5,7}:{(121,1),(122,1),(124,1),(169,1)}
       148:{2,3,6,7}:{(123,1),(124,1),(169,1),(191,1)}
       149:{1,3,4,7}:{(125,1),(127,1),(138,1),(170,1),(204,1),(205,1)}
       150:{1,2,5,7}:{(125,1),(126,1),(139,1),(170,1),(171,1)}
       151:{2,3,6}:{(126,1),(129,1),(171,1),(174,1)}
       152:{3,5,7}:{(127,1),(128,1),(141,1),(174,1)}
       153:{1,2,4,6}:{(128,1),(129,1),(130,1),(133,1),(171,1),(174,1),(176,1),(199,1)}
       154:{2,4,6,7}:{(129,1),(131,1),(134,1),(143,1),(172,1)}
       155:{1,4,6,7}:{(130,1),(131,1),(135,1),(144,1)}
       156:{2,4,5,7}:{(132,1),(145,1),(173,1),(176,1),(186,1)}
       157:{2,3,5,6}:{(132,1),(133,1),(174,1),(176,1),(201,1)}
       158:{1,2,5,6,7}:{(133,1),(134,1),(135,1),(147,1),(175,1),(177,1),(209,1)}
       159:{1,3,4}:{(136,1),(178,1)}
       160:{1,2,4,5}:{(136,1),(137,1),(139,1),(178,1),(179,1),(181,1)}
       161:{2,3,4,6}:{(137,1),(140,1),(179,1),(180,1),(184,1)}
       162:{1,3,5}:{(138,1),(139,1),(141,1),(181,1)}
       163:{1,2,5,6}:{(139,1),(140,1),(171,1),(179,1),(182,1),(183,1)}
       164:{2,3,5,7}:{(140,1),(143,1),(172,1),(180,1),(183,1),(185,1)}
       165:{3,4,5}:{(141,1),(145,1),(181,1),(184,1)}
       166:{3,5,6}:{(141,1),(142,1),(174,1),(184,1),(185,1)}
       167:{1,2,4,5,7}:{(142,1),(143,1),(144,1),(147,1),(175,1),(183,1),(185,1),(186,1),(203,1),(205,1),(209,1)}
       168:{2,4,6}:{(145,1),(146,1),(184,1),(186,1)}
       169:{2,3,5,7}:{(146,1),(147,1),(148,1),(185,1),(186,1)}
       170:{1,3,5,7}:{(149,1),(150,1),(152,1),(162,1),(187,1),(188,1)}
       171:{1,2,6}:{(150,1),(151,1),(188,1)}
       172:{2,3,6,7}:{(151,1),(154,1),(164,1),(189,1),(191,1)}
       173:{3,4,5,7}:{(152,1),(156,1),(165,1),(187,1),(190,1),(198,1),(208,1)}
       174:{3,6}:{(152,1),(153,1)}
       175:{1,2,4,6,7}:{(153,1),(154,1),(155,1),(158,1),(167,1),(189,1),(191,1),(193,1),(207,1)}
       176:{2,4,6}:{(156,1),(157,1),(190,1)}
       177:{2,3,5,6,7}:{(157,1),(158,1),(169,1),(191,1),(193,1),(208,1)}
       178:{1,3,5}:{(159,1),(160,1),(194,1)}
       179:{1,2,4,6}:{(160,1),(161,1),(163,1),(194,1),(195,1),(196,1)}
       180:{2,3,4,7}:{(161,1),(164,1),(195,1),(198,1)}
       181:{1,4,5}:{(162,1),(165,1),(196,1)}
       182:{1,3,5,6}:{(162,1),(163,1),(166,1),(188,1),(194,1),(196,1),(197,1),(206,1)}
       183:{1,2,5,7}:{(163,1),(164,1),(189,1),(195,1),(197,1)}
       184:{3,4,6}:{(165,1),(166,1),(168,1),(196,1),(198,1)}
       185:{3,5,7}:{(166,1),(167,1),(191,1),(198,1)}
       186:{2,4,7}:{(168,1),(169,1),(198,1)}
       187:{1,4,5,7}:{(170,1),(173,1),(181,1),(199,1),(205,1),(209,1)}
       188:{1,3,6}:{(170,1),(171,1),(174,1),(199,1)}
       189:{1,2,6,7}:{(171,1),(172,1),(183,1),(200,1)}
       190:{3,4,6}:{(173,1),(174,1),(176,1),(199,1),(201,1)}
       191:{3,6,7}:{(174,1),(175,1),(185,1)}
       192:{2,4,5,6}:{(176,1),(201,1),(203,1)}
       193:{2,4,6,7}:{(176,1),(177,1),(186,1),(202,1),(203,1)}
       194:{1,3,6}:{(178,1),(179,1),(204,1)}
       195:{1,2,4,7}:{(179,1),(180,1),(183,1),(204,1),(205,1)}
       196:{1,4,6}:{(181,1),(182,1),(184,1),(205,1)}
       197:{1,3,5,7}:{(182,1),(183,1),(185,1),(200,1),(204,1),(205,1),(209,1)}
       198:{3,4,7}:{(184,1),(185,1),(186,1),(205,1)}
       199:{1,4,6}:{(187,1),(188,1),(190,1),(206,1)}
       200:{1,3,6,7}:{(188,1),(189,1),(191,1),(197,1),(207,1)}
       201:{3,5,6}:{(190,1),(192,1),(206,1),(208,1)}
       202:{3,4,6,7}:{(190,1),(191,1),(193,1),(198,1),(207,1),(208,1)}
       203:{2,4,5,7}:{(192,1),(193,1),(208,1)}
       204:{1,3,7}:{(194,1),(195,1)}
       205:{1,4,7}:{(196,1),(197,1),(198,1)}
       206:{1,5,6}:{(199,1),(201,1),(209,1)}
       207:{1,4,6,7}:{(199,1),(200,1),(202,1),(205,1),(209,1)}
       208:{3,5,7}:{(201,1),(202,1),(203,1),(209,1)}
       209:{1,5,7}:{(206,1),(207,1),(208,1)}

1499 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(17,1),(18,1),(38,1),(47,1),(74,1),(75,1),(78,1),(102,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(58,1),(59,1),(87,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(21,1),(26,1),(27,1),(28,1),(58,1),(59,1)}
         3:{3,5,6}:{(0,1),(6,1),(7,1),(65,1),(89,1),(101,1)}
         4:{3,5,6,7}:{(1,1),(10,1),(11,1),(39,1),(95,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(10,1),(11,1),(40,1),(41,1),(42,1),(78,1)}
         6:{3,5,7}:{(2,1),(3,1),(11,1),(12,1)}
         7:{3,4,6}:{(3,1),(12,1),(15,1),(16,1),(17,1),(48,1),(80,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(16,1),(18,1),(36,1),(48,1),(69,1),(70,1),(74,1),(91,1),(95,1),(102,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(33,1),(48,1),(66,1),(73,1),(75,1),(93,1),(95,1),(103,1)}
        10:{4,6,7}:{(4,1),(21,1),(100,1)}
        11:{3,6,7}:{(5,1),(6,1),(89,1)}
        12:{3,4,7}:{(6,1),(7,1),(26,1),(27,1),(64,1)}
        13:{1,3,5,7}:{(6,1),(8,1),(23,1),(26,1),(28,1),(58,1),(64,1),(88,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(24,1),(27,1),(28,1),(59,1),(64,1),(88,1)}
        15:{3,4,5}:{(7,1),(29,1),(30,1),(65,1),(101,1)}
        16:{1,4,6}:{(7,1),(8,1),(26,1),(29,1),(83,1),(100,1)}
        17:{2,4,6}:{(7,1),(9,1),(27,1),(30,1),(86,1),(100,1)}
        18:{1,2,5,6}:{(8,1),(9,1),(28,1),(31,1),(51,1),(55,1),(81,1),(84,1)}
        19:{2,3,4,6}:{(17,1),(32,1),(33,1),(34,1),(48,1),(66,1),(80,1),(97,1)}
        20:{1,3,4,6}:{(16,1),(35,1),(36,1),(37,1),(48,1),(70,1),(80,1),(97,1)}
        21:{4,5,7}:{(10,1),(38,1),(39,1),(96,1),(104,1)}
        22:{3,4,6,7}:{(10,1),(11,1),(12,1),(39,1),(40,1),(41,1),(43,1),(77,1),(96,1),(97,1)}
        23:{1,3,6,7}:{(11,1),(13,1),(40,1),(42,1),(70,1),(77,1),(91,1)}
        24:{2,3,6,7}:{(11,1),(14,1),(41,1),(42,1),(66,1),(77,1),(93,1)}
        25:{3,4,5,7}:{(12,1),(15,1),(39,1),(43,1),(44,1),(45,1),(79,1),(96,1),(104,1)}
        26:{1,4,7}:{(12,1),(13,1),(16,1),(96,1)}
        27:{2,4,7}:{(12,1),(14,1),(17,1),(96,1)}
        28:{1,2,5,7}:{(13,1),(14,1),(18,1),(42,1),(46,1)}
        29:{1,4,5}:{(15,1),(16,1),(36,1),(102,1),(104,1)}
        30:{2,4,5}:{(15,1),(17,1),(33,1),(103,1),(104,1)}
        31:{1,2,4,6}:{(16,1),(17,1),(18,1),(46,1),(47,1),(48,1)}
        32:{2,3,4,7}:{(19,1),(27,1),(49,1),(50,1),(64,1),(90,1)}
        33:{2,3,5}:{(19,1),(30,1),(51,1),(65,1),(101,1)}
        34:{1,2,4,6}:{(19,1),(50,1),(51,1),(52,1),(81,1),(83,1),(98,1)}
        35:{1,3,4,7}:{(20,1),(26,1),(53,1),(54,1),(64,1),(90,1)}
        36:{1,3,5}:{(20,1),(29,1),(55,1),(65,1),(101,1)}
        37:{1,2,4,6}:{(20,1),(54,1),(55,1),(56,1),(84,1),(86,1),(99,1)}
        38:{4,5,6}:{(21,1),(57,1),(100,1)}
        39:{3,5,7}:{(21,1),(22,1),(57,1),(58,1),(59,1),(101,1)}
        40:{1,4,6,7}:{(22,1),(23,1),(26,1),(58,1),(61,1),(98,1)}
        41:{2,4,6,7}:{(22,1),(24,1),(27,1),(59,1),(62,1),(99,1)}
        42:{1,2,6,7}:{(23,1),(24,1),(28,1),(81,1),(84,1)}
        43:{3,4,6}:{(25,1),(57,1),(61,1),(62,1),(89,1),(100,1)}
        44:{1,4,5,7}:{(25,1),(26,1),(29,1),(53,1),(58,1),(61,1)}
        45:{2,4,5,7}:{(25,1),(27,1),(30,1),(49,1),(59,1),(62,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(28,1),(31,1),(64,1)}
        47:{1,2,4,5}:{(29,1),(30,1),(31,1),(51,1),(55,1),(65,1),(83,1),(86,1)}
        48:{3,6}:{(31,1),(64,1),(65,1)}
        49:{2,3,5,7}:{(32,1),(33,1),(45,1),(66,1),(67,1),(79,1)}
        50:{1,2,4,7}:{(32,1),(34,1),(67,1),(68,1),(92,1)}
        51:{1,2,5}:{(33,1),(34,1),(69,1),(102,1)}
        52:{1,3,6}:{(34,1),(48,1),(68,1),(69,1)}
        53:{1,3,5,7}:{(35,1),(36,1),(44,1),(70,1),(71,1),(79,1)}
        54:{1,2,4,7}:{(35,1),(37,1),(71,1),(72,1),(94,1)}
        55:{1,2,5}:{(36,1),(37,1),(73,1),(103,1)}
        56:{2,3,6}:{(37,1),(48,1),(72,1),(73,1)}
        57:{3,5,6}:{(38,1),(39,1),(43,1),(74,1),(75,1)}
        58:{1,5,7}:{(39,1),(40,1),(74,1),(102,1)}
        59:{2,5,7}:{(39,1),(41,1),(75,1),(103,1)}
        60:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(46,1),(76,1),(77,1),(78,1),(96,1)}
        61:{1,4,6}:{(43,1),(44,1),(70,1),(74,1)}
        62:{2,4,6}:{(43,1),(45,1),(66,1),(75,1)}
        63:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(47,1),(67,1),(71,1),(76,1),(78,1),(79,1),(92,1),(94,1),(96,1),(102,1),(103,1),(104,1)}
        64:{3,7}:{(46,1),(48,1)}
        65:{3,5}:{(47,1),(48,1),(80,1)}
        66:{2,3,6}:{(49,1),(62,1),(81,1),(89,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(51,1),(81,1),(82,1)}
        68:{1,3,7}:{(50,1),(52,1),(64,1)}
        69:{1,3,5}:{(51,1),(52,1),(65,1),(83,1)}
        70:{1,3,6}:{(53,1),(61,1),(84,1),(89,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(55,1),(84,1),(85,1)}
        72:{2,3,7}:{(54,1),(56,1),(64,1)}
        73:{2,3,5}:{(55,1),(56,1),(65,1),(86,1)}
        74:{1,5,6}:{(57,1),(58,1),(61,1)}
        75:{2,5,6}:{(57,1),(59,1),(62,1)}
        76:{1,2,5,7}:{(58,1),(59,1),(60,1),(87,1),(88,1)}
        77:{3,6,7}:{(60,1),(64,1),(88,1),(89,1)}
        78:{1,2,4,6}:{(61,1),(62,1),(63,1),(81,1),(84,1),(87,1),(89,1),(98,1),(99,1),(100,1)}
        79:{3,5,7}:{(63,1),(64,1),(65,1),(89,1),(90,1),(101,1)}
        80:{3,4}:{(65,1),(83,1),(86,1)}
        81:{1,2,6}:{(66,1),(67,1),(91,1)}
        82:{1,3,5,7}:{(67,1),(68,1),(69,1),(79,1),(91,1),(92,1),(102,1)}
        83:{1,4}:{(69,1),(80,1)}
        84:{1,2,6}:{(70,1),(71,1),(93,1)}
        85:{2,3,5,7}:{(71,1),(72,1),(73,1),(79,1),(93,1),(94,1),(103,1)}
        86:{2,4}:{(73,1),(80,1)}
        87:{1,2,5,6}:{(74,1),(75,1),(76,1),(78,1),(95,1),(102,1),(103,1)}
        88:{3,5,7}:{(76,1),(77,1),(95,1),(96,1)}
        89:{3,6}:{(78,1),(79,1)}
        90:{3,4,7}:{(79,1),(80,1),(92,1),(94,1),(96,1),(97,1)}
        91:{1,3,6}:{(81,1),(82,1),(89,1),(98,1)}
        92:{1,4,7}:{(82,1),(83,1),(90,1),(98,1)}
        93:{2,3,6}:{(84,1),(85,1),(89,1),(99,1)}
        94:{2,4,7}:{(85,1),(86,1),(90,1),(99,1)}
        95:{3,5,6}:{(87,1),(88,1),(89,1),(100,1),(101,1)}
        96:{4,7}:{(88,1),(100,1)}
        97:{3,4,6}:{(89,1),(90,1),(98,1),(99,1),(100,1),(101,1)}
        98:{1,4,6}:{(91,1),(92,1),(97,1),(102,1)}
        99:{2,4,6}:{(93,1),(94,1),(97,1),(103,1)}
       100:{4,6}:{(95,1),(96,1),(104,1)}
       101:{3,5}:{(97,1),(102,1),(103,1),(104,1)}
       102:{1,5}:{(98,1),(101,1)}
       103:{2,5}:{(99,1),(101,1)}
       104:{4,5}:{(100,1),(101,1)}

1500 :   0:{1,2,5,6,7}:{(1,1),(2,1),(33,1),(34,1),(65,1)}
         1:{3,5,6,7}:{(0,1),(5,1),(6,1),(20,1),(80,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(21,1),(22,1),(23,1),(78,1)}
         3:{1,2,4,5,6}:{(4,1),(7,1),(19,1),(25,1),(26,1),(27,1),(47,1),(48,1),(55,1),(78,1),(99,1),(103,1),(104,1)}
         4:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(29,1),(30,1),(31,1),(33,1),(34,1)}
         5:{4,6,7}:{(1,1),(9,1),(91,1)}
         6:{3,6,7}:{(2,1),(8,1),(89,1)}
         7:{3,5,6}:{(3,1),(8,1),(13,1),(71,1),(89,1),(102,1)}
         8:{3,5,7}:{(4,1),(6,1),(7,1),(16,1)}
         9:{4,5,7}:{(5,1),(19,1),(20,1),(81,1),(99,1)}
        10:{3,4,6,7}:{(5,1),(6,1),(16,1),(20,1),(21,1),(22,1),(43,1),(50,1),(81,1),(98,1)}
        11:{1,3,6,7}:{(6,1),(17,1),(21,1),(23,1),(50,1),(75,1),(94,1)}
        12:{2,3,6,7}:{(6,1),(18,1),(22,1),(23,1),(50,1),(72,1),(96,1)}
        13:{3,4,6}:{(7,1),(16,1),(24,1),(25,1),(26,1),(56,1),(84,1)}
        14:{1,3,5,6}:{(7,1),(17,1),(25,1),(27,1),(47,1),(53,1),(56,1),(75,1),(80,1),(82,1),(94,1),(103,1)}
        15:{2,3,5,6}:{(7,1),(18,1),(26,1),(27,1),(48,1),(51,1),(56,1),(72,1),(80,1),(83,1),(96,1),(104,1)}
        16:{3,4,7}:{(8,1),(13,1),(29,1),(30,1),(64,1)}
        17:{1,3,5,7}:{(8,1),(11,1),(14,1),(29,1),(31,1),(33,1),(64,1),(66,1)}
        18:{2,3,5,7}:{(8,1),(12,1),(15,1),(30,1),(31,1),(34,1),(64,1),(66,1)}
        19:{4,5,6}:{(9,1),(32,1),(91,1)}
        20:{3,5,7}:{(9,1),(10,1),(32,1),(33,1),(34,1),(102,1)}
        21:{1,4,6,7}:{(10,1),(11,1),(29,1),(33,1),(61,1),(100,1)}
        22:{2,4,6,7}:{(10,1),(12,1),(30,1),(34,1),(62,1),(101,1)}
        23:{1,2,6,7}:{(11,1),(12,1),(31,1),(85,1),(87,1)}
        24:{3,4,5}:{(13,1),(38,1),(39,1),(71,1),(102,1)}
        25:{1,4,6}:{(13,1),(14,1),(29,1),(38,1),(91,1),(92,1)}
        26:{2,4,6}:{(13,1),(15,1),(30,1),(39,1),(91,1),(93,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(31,1),(40,1),(67,1),(69,1),(85,1),(87,1)}
        28:{3,4,5,7}:{(16,1),(20,1),(24,1),(43,1),(44,1),(45,1),(79,1),(81,1),(99,1)}
        29:{1,4,7}:{(16,1),(17,1),(25,1),(81,1)}
        30:{2,4,7}:{(16,1),(18,1),(26,1),(81,1)}
        31:{1,2,5,7}:{(17,1),(18,1),(23,1),(27,1),(46,1)}
        32:{3,5,6}:{(19,1),(20,1),(43,1),(47,1),(48,1)}
        33:{1,5,7}:{(20,1),(21,1),(47,1),(103,1)}
        34:{2,5,7}:{(20,1),(22,1),(48,1),(104,1)}
        35:{1,2,4,6,7}:{(21,1),(22,1),(23,1),(46,1),(49,1),(50,1),(78,1),(81,1)}
        36:{2,3,4,6}:{(26,1),(41,1),(51,1),(52,1),(56,1),(72,1),(84,1),(98,1)}
        37:{1,3,4,6}:{(25,1),(42,1),(53,1),(54,1),(56,1),(75,1),(84,1),(98,1)}
        38:{1,4,5}:{(24,1),(25,1),(53,1),(99,1),(103,1)}
        39:{2,4,5}:{(24,1),(26,1),(51,1),(99,1),(104,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(46,1),(55,1),(56,1)}
        41:{2,3,4,7}:{(30,1),(36,1),(57,1),(58,1),(64,1),(90,1)}
        42:{1,3,4,7}:{(29,1),(37,1),(59,1),(60,1),(64,1),(90,1)}
        43:{3,4,6}:{(28,1),(32,1),(61,1),(62,1),(89,1),(91,1)}
        44:{1,4,5,7}:{(28,1),(29,1),(33,1),(38,1),(59,1),(61,1)}
        45:{2,4,5,7}:{(28,1),(30,1),(34,1),(39,1),(57,1),(62,1)}
        46:{1,2,4,7}:{(29,1),(30,1),(31,1),(40,1),(64,1)}
        47:{1,5,6}:{(32,1),(33,1),(61,1)}
        48:{2,5,6}:{(32,1),(34,1),(62,1)}
        49:{1,2,5,7}:{(33,1),(34,1),(35,1),(65,1),(66,1)}
        50:{3,6,7}:{(35,1),(64,1),(66,1),(89,1)}
        51:{2,3,5}:{(36,1),(39,1),(67,1),(71,1),(102,1)}
        52:{1,2,4,6}:{(36,1),(58,1),(67,1),(68,1),(85,1),(92,1),(100,1)}
        53:{1,3,5}:{(37,1),(38,1),(69,1),(71,1),(102,1)}
        54:{1,2,4,6}:{(37,1),(60,1),(69,1),(70,1),(87,1),(93,1),(101,1)}
        55:{1,2,4,5}:{(38,1),(39,1),(40,1),(67,1),(69,1),(71,1),(92,1),(93,1)}
        56:{3,6}:{(40,1),(64,1),(71,1)}
        57:{2,3,5,7}:{(41,1),(45,1),(51,1),(72,1),(73,1),(79,1)}
        58:{1,2,4,7}:{(41,1),(52,1),(73,1),(74,1),(95,1)}
        59:{1,3,5,7}:{(42,1),(44,1),(53,1),(75,1),(76,1),(79,1)}
        60:{1,2,4,7}:{(42,1),(54,1),(76,1),(77,1),(97,1)}
        61:{1,4,6}:{(43,1),(44,1),(47,1),(75,1)}
        62:{2,4,6}:{(43,1),(45,1),(48,1),(72,1)}
        63:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(49,1),(55,1),(73,1),(76,1),(78,1),(79,1),(81,1),(95,1),(97,1),(99,1),(103,1),(104,1)}
        64:{3,7}:{(46,1),(56,1)}
        65:{1,2,5,6}:{(47,1),(48,1),(49,1),(78,1),(80,1),(103,1),(104,1)}
        66:{3,5,7}:{(49,1),(50,1),(80,1),(81,1)}
        67:{1,2,5}:{(51,1),(52,1),(82,1),(103,1)}
        68:{1,3,6}:{(52,1),(56,1),(74,1),(82,1)}
        69:{1,2,5}:{(53,1),(54,1),(83,1),(104,1)}
        70:{2,3,6}:{(54,1),(56,1),(77,1),(83,1)}
        71:{3,5}:{(55,1),(56,1),(84,1)}
        72:{2,3,6}:{(57,1),(62,1),(85,1),(89,1)}
        73:{1,2,5,7}:{(57,1),(58,1),(67,1),(85,1),(86,1)}
        74:{1,3,7}:{(58,1),(64,1),(68,1)}
        75:{1,3,6}:{(59,1),(61,1),(87,1),(89,1)}
        76:{1,2,5,7}:{(59,1),(60,1),(69,1),(87,1),(88,1)}
        77:{2,3,7}:{(60,1),(64,1),(70,1)}
        78:{1,2,4,6}:{(61,1),(62,1),(63,1),(65,1),(85,1),(87,1),(89,1),(91,1),(100,1),(101,1)}
        79:{3,5,7}:{(63,1),(64,1),(71,1),(89,1),(90,1),(102,1)}
        80:{3,5,6}:{(65,1),(66,1),(89,1),(91,1),(102,1)}
        81:{4,7}:{(66,1),(91,1)}
        82:{1,3,5}:{(67,1),(68,1),(71,1),(92,1)}
        83:{2,3,5}:{(69,1),(70,1),(71,1),(93,1)}
        84:{3,4}:{(71,1),(92,1),(93,1)}
        85:{1,2,6}:{(72,1),(73,1),(94,1)}
        86:{1,3,5,7}:{(73,1),(74,1),(79,1),(82,1),(94,1),(95,1),(103,1)}
        87:{1,2,6}:{(75,1),(76,1),(96,1)}
        88:{2,3,5,7}:{(76,1),(77,1),(79,1),(83,1),(96,1),(97,1),(104,1)}
        89:{3,6}:{(78,1),(79,1)}
        90:{3,4,7}:{(79,1),(81,1),(84,1),(95,1),(97,1),(98,1)}
        91:{4,6}:{(80,1),(81,1),(99,1)}
        92:{1,4}:{(82,1),(84,1)}
        93:{2,4}:{(83,1),(84,1)}
        94:{1,3,6}:{(85,1),(86,1),(89,1),(100,1)}
        95:{1,4,7}:{(86,1),(90,1),(92,1),(100,1)}
        96:{2,3,6}:{(87,1),(88,1),(89,1),(101,1)}
        97:{2,4,7}:{(88,1),(90,1),(93,1),(101,1)}
        98:{3,4,6}:{(89,1),(90,1),(91,1),(100,1),(101,1),(102,1)}
        99:{4,5}:{(91,1),(102,1)}
       100:{1,4,6}:{(94,1),(95,1),(98,1),(103,1)}
       101:{2,4,6}:{(96,1),(97,1),(98,1),(104,1)}
       102:{3,5}:{(98,1),(99,1),(103,1),(104,1)}
       103:{1,5}:{(100,1),(102,1)}
       104:{2,5}:{(101,1),(102,1)}

1501 :   0:{1,2,3,4,6}:{(1,1),(2,1),(6,1),(10,1),(48,1),(51,1)}
         1:{1,2,3,5}:{(0,1),(4,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(13,1),(63,1)}
         3:{1,2,3,5,6}:{(1,1),(6,1),(7,1),(10,1),(19,1),(27,1),(43,1),(48,1)}
         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)}
         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),(37,1),(58,1),(63,1)}
         8:{3,4,5}:{(4,1),(12,1)}
         9:{1,2,4,5,7}:{(4,1),(5,1),(13,1),(17,1),(18,1),(37,1)}
        10:{1,2,3,6}:{(5,1),(18,1)}
        11:{1,2,4,5,6}:{(6,1),(19,1),(20,1),(27,1),(40,1),(41,1),(43,1),(52,1)}
        12:{3,4,6}:{(6,1),(8,1),(19,1),(23,1)}
        13:{1,2,4,7}:{(6,1),(7,1),(23,1)}
        14:{1,2,3,6,7}:{(7,1),(10,1),(24,1),(46,1),(72,1)}
        15:{1,3,4,5}:{(8,1),(21,1),(25,1),(86,1)}
        16:{2,3,4,5}:{(8,1),(22,1),(25,1),(86,1)}
        17:{3,4,5,7}:{(8,1),(9,1),(23,1),(26,1),(50,1)}
        18:{1,2,4,6}:{(9,1),(10,1),(26,1),(27,1)}
        19:{3,5,6}:{(11,1),(12,1),(31,1)}
        20:{1,2,4,5,7}:{(11,1),(13,1),(31,1),(32,1),(37,1),(54,1),(55,1),(58,1),(64,1)}
        21:{1,3,4,6}:{(12,1),(15,1),(29,1),(33,1),(34,1),(76,1)}
        22:{2,3,4,6}:{(12,1),(16,1),(30,1),(33,1),(35,1),(76,1)}
        23:{3,4,7}:{(12,1),(13,1),(31,1)}
        24:{1,2,4,6,7}:{(13,1),(14,1),(18,1),(36,1),(37,1)}
        25:{1,2,4,5}:{(15,1),(16,1),(33,1),(38,1)}
        26:{3,4,6}:{(17,1),(18,1),(39,1)}
        27:{1,2,5,6}:{(18,1),(37,1),(39,1)}
        28:{3,4,5,6}:{(19,1),(40,1),(41,1),(42,1),(52,1),(65,1),(104,1)}
        29:{1,3,5,6}:{(19,1),(21,1),(40,1),(43,1),(44,1),(65,1)}
        30:{2,3,5,6}:{(19,1),(22,1),(41,1),(43,1),(45,1),(65,1)}
        31:{3,5,7}:{(19,1),(20,1),(23,1),(46,1)}
        32:{1,2,4,6,7}:{(20,1),(46,1),(47,1),(67,1),(68,1),(72,1),(73,1)}
        33:{1,2,4,6}:{(21,1),(22,1),(25,1),(43,1),(48,1),(49,1)}
        34:{1,3,4,7}:{(21,1),(23,1),(44,1),(49,1),(87,1)}
        35:{2,3,4,7}:{(22,1),(23,1),(45,1),(49,1),(87,1)}
        36:{3,4,6,7}:{(23,1),(24,1),(26,1),(46,1),(50,1),(73,1)}
        37:{1,2,5,7}:{(24,1),(27,1),(50,1)}
        38:{1,2,3,5}:{(25,1),(48,1),(51,1)}
        39:{3,5,6}:{(26,1),(27,1),(50,1),(52,1)}
        40:{1,4,5,6}:{(28,1),(29,1),(54,1)}
        41:{2,4,5,6}:{(28,1),(30,1),(55,1)}
        42:{3,4,5,7}:{(28,1),(31,1),(54,1),(55,1),(56,1),(64,1),(77,1),(103,1)}
        43:{1,2,5,6}:{(29,1),(30,1),(33,1),(58,1)}
        44:{1,3,5,7}:{(29,1),(31,1),(34,1),(54,1),(58,1),(59,1),(77,1)}
        45:{2,3,5,7}:{(30,1),(31,1),(35,1),(55,1),(58,1),(60,1),(77,1)}
        46:{3,6,7}:{(31,1),(32,1)}
        47:{1,2,5,6,7}:{(32,1),(37,1),(61,1),(79,1),(80,1)}
        48:{1,2,3,6}:{(33,1),(38,1),(63,1)}
        49:{1,2,4,7}:{(33,1),(34,1),(35,1),(58,1),(63,1)}
        50:{3,5,7}:{(36,1),(37,1),(39,1),(64,1)}
        51:{1,2,3,4}:{(38,1)}
        52:{4,5,6}:{(39,1),(64,1)}
        53:{1,2,4,5,6}:{(40,1),(41,1),(43,1),(65,1),(66,1),(70,1),(101,1),(104,1)}
        54:{1,4,5,7}:{(40,1),(42,1),(44,1),(67,1)}
        55:{2,4,5,7}:{(41,1),(42,1),(45,1),(68,1)}
        56:{3,4,6,7}:{(42,1),(46,1),(67,1),(68,1),(69,1),(73,1),(88,1),(100,1)}
        57:{1,2,3,5,6}:{(43,1),(48,1),(65,1),(70,1),(71,1),(74,1),(92,1),(101,1)}
        58:{1,2,5,7}:{(43,1),(44,1),(45,1),(49,1),(72,1)}
        59:{1,3,6,7}:{(44,1),(46,1),(67,1),(72,1),(88,1)}
        60:{2,3,6,7}:{(45,1),(46,1),(68,1),(72,1),(88,1)}
        61:{3,5,6,7}:{(46,1),(47,1),(50,1),(73,1)}
        62:{1,2,3,4,6}:{(48,1),(51,1),(70,1),(74,1),(75,1),(92,1)}
        63:{1,2,3,7}:{(48,1),(49,1)}
        64:{4,5,7}:{(50,1),(52,1),(73,1)}
        65:{3,5,6}:{(53,1),(76,1),(77,1)}
        66:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(58,1),(77,1),(78,1),(83,1),(97,1),(103,1)}
        67:{1,4,6,7}:{(54,1),(56,1),(59,1),(79,1)}
        68:{2,4,6,7}:{(55,1),(56,1),(60,1),(80,1)}
        69:{3,5,6,7}:{(56,1),(79,1),(80,1),(81,1)}
        70:{1,2,4,6}:{(57,1),(76,1),(82,1),(83,1)}
        71:{1,2,3,5,7}:{(57,1),(58,1),(63,1),(77,1),(83,1),(84,1),(97,1)}
        72:{1,2,6,7}:{(58,1),(59,1),(60,1)}
        73:{4,6,7}:{(61,1),(64,1)}
        74:{1,2,3,5}:{(62,1),(82,1)}
        75:{1,2,3,4,7}:{(62,1),(63,1),(83,1),(85,1)}
        76:{3,4,6}:{(65,1),(70,1),(86,1),(87,1)}
        77:{3,5,7}:{(65,1),(66,1),(87,1),(88,1)}
        78:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(72,1),(88,1),(89,1),(100,1)}
        79:{1,5,6,7}:{(67,1),(69,1)}
        80:{2,5,6,7}:{(68,1),(69,1)}
        81:{4,5,6,7}:{(69,1),(73,1),(100,1)}
        82:{1,2,4,5}:{(70,1),(74,1),(86,1)}
        83:{1,2,4,7}:{(70,1),(71,1),(87,1)}
        84:{1,2,3,6,7}:{(71,1),(72,1),(88,1),(91,1),(92,1)}
        85:{1,2,3,5,7}:{(74,1),(75,1),(90,1),(92,1)}
        86:{3,4,5}:{(76,1),(82,1)}
        87:{3,4,7}:{(76,1),(77,1),(83,1)}
        88:{3,6,7}:{(77,1),(78,1)}
        89:{1,2,5,6,7}:{(78,1),(79,1),(80,1),(95,1),(97,1)}
        90:{1,2,4,5,7}:{(82,1),(83,1),(85,1),(93,1),(96,1),(97,1)}
        91:{1,2,4,6,7}:{(83,1),(84,1),(94,1),(96,1),(97,1)}
        92:{1,2,3,6}:{(85,1),(96,1)}
        93:{3,4,5,7}:{(86,1),(87,1),(90,1),(98,1),(99,1)}
        94:{3,4,6,7}:{(87,1),(88,1),(91,1),(98,1),(99,1),(100,1)}
        95:{3,5,6,7}:{(88,1),(89,1),(99,1),(100,1)}
        96:{1,2,4,6}:{(90,1),(92,1),(98,1),(101,1)}
        97:{1,2,5,7}:{(91,1),(99,1),(101,1)}
        98:{3,4,6}:{(93,1),(96,1),(102,1)}
        99:{3,5,7}:{(94,1),(97,1),(102,1),(103,1)}
       100:{4,6,7}:{(95,1),(103,1)}
       101:{1,2,5,6}:{(96,1),(97,1),(102,1)}
       102:{3,5,6}:{(98,1),(99,1),(101,1),(104,1)}
       103:{4,5,7}:{(99,1),(100,1),(104,1)}
       104:{4,5,6}:{(102,1),(103,1)}

1502 :   0:{1,2,3,4,7}:{(1,1),(2,1),(21,1),(65,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1)}
         2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(15,1),(54,1),(55,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(21,1)}
         4:{1,2,3,6}:{(1,1),(7,1)}
         5:{1,2,3,5}:{(2,1),(10,1)}
         6:{3,4,5,7}:{(3,1),(11,1),(16,1),(25,1),(30,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(11,1),(13,1)}
         8:{1,2,3,6,7}:{(4,1),(12,1),(14,1),(49,1),(72,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(15,1),(29,1),(52,1),(54,1)}
        10:{1,2,4,5}:{(5,1),(15,1),(16,1)}
        11:{3,4,6}:{(6,1),(7,1),(18,1)}
        12:{1,2,4,6,7}:{(7,1),(8,1),(17,1),(19,1),(21,1)}
        13:{1,2,5,6}:{(7,1),(18,1),(19,1)}
        14:{1,2,3,5,7}:{(8,1),(9,1),(19,1),(21,1),(38,1),(63,1),(65,1)}
        15:{1,2,4,6}:{(9,1),(10,1),(21,1),(22,1)}
        16:{3,4,5}:{(10,1),(22,1)}
        17:{3,4,6,7}:{(11,1),(12,1),(25,1),(30,1),(45,1),(49,1)}
        18:{3,5,6}:{(11,1),(13,1),(25,1),(26,1)}
        19:{1,2,5,7}:{(12,1),(13,1),(25,1)}
        20:{1,2,4,5,6}:{(13,1),(15,1),(26,1),(28,1),(29,1),(47,1),(48,1),(52,1)}
        21:{1,2,4,7}:{(14,1),(15,1),(30,1)}
        22:{3,4,6}:{(15,1),(16,1),(29,1),(30,1)}
        23:{1,3,4,5}:{(16,1),(31,1),(33,1),(89,1)}
        24:{2,3,4,5}:{(16,1),(32,1),(33,1),(89,1)}
        25:{3,5,7}:{(17,1),(18,1),(19,1),(35,1)}
        26:{4,5,6}:{(18,1),(35,1)}
        27:{1,2,5,6,7}:{(19,1),(34,1),(37,1),(77,1),(78,1)}
        28:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(35,1),(37,1),(38,1),(58,1),(59,1),(63,1)}
        29:{3,5,6}:{(20,1),(22,1),(38,1)}
        30:{3,4,7}:{(21,1),(22,1),(38,1)}
        31:{1,3,4,6}:{(22,1),(23,1),(39,1),(41,1),(43,1),(81,1)}
        32:{2,3,4,6}:{(22,1),(24,1),(40,1),(42,1),(43,1),(81,1)}
        33:{1,2,4,5}:{(23,1),(24,1),(43,1),(44,1)}
        34:{3,5,6,7}:{(25,1),(27,1),(45,1),(49,1)}
        35:{4,5,7}:{(25,1),(26,1),(45,1)}
        36:{3,4,5,6}:{(26,1),(29,1),(46,1),(47,1),(48,1),(71,1),(104,1)}
        37:{1,2,4,6,7}:{(27,1),(28,1),(45,1),(49,1),(68,1),(69,1),(72,1)}
        38:{3,5,7}:{(28,1),(29,1),(30,1),(49,1)}
        39:{1,3,5,6}:{(29,1),(31,1),(47,1),(50,1),(52,1),(71,1)}
        40:{2,3,5,6}:{(29,1),(32,1),(48,1),(51,1),(52,1),(71,1)}
        41:{1,3,4,7}:{(30,1),(31,1),(50,1),(53,1),(88,1)}
        42:{2,3,4,7}:{(30,1),(32,1),(51,1),(53,1),(88,1)}
        43:{1,2,4,6}:{(31,1),(32,1),(33,1),(52,1),(53,1),(54,1)}
        44:{1,2,3,5}:{(33,1),(54,1),(55,1)}
        45:{4,6,7}:{(34,1),(35,1)}
        46:{3,4,5,7}:{(35,1),(36,1),(38,1),(57,1),(58,1),(59,1),(80,1),(102,1)}
        47:{1,4,5,6}:{(36,1),(39,1),(58,1)}
        48:{2,4,5,6}:{(36,1),(40,1),(59,1)}
        49:{3,6,7}:{(37,1),(38,1)}
        50:{1,3,5,7}:{(38,1),(39,1),(41,1),(58,1),(61,1),(63,1),(80,1)}
        51:{2,3,5,7}:{(38,1),(40,1),(42,1),(59,1),(62,1),(63,1),(80,1)}
        52:{1,2,5,6}:{(39,1),(40,1),(43,1),(63,1)}
        53:{1,2,4,7}:{(41,1),(42,1),(43,1),(63,1),(65,1)}
        54:{1,2,3,6}:{(43,1),(44,1),(65,1)}
        55:{1,2,3,4}:{(44,1)}
        56:{4,5,6,7}:{(45,1),(67,1),(98,1)}
        57:{3,4,6,7}:{(45,1),(46,1),(49,1),(67,1),(68,1),(69,1),(87,1),(98,1)}
        58:{1,4,5,7}:{(46,1),(47,1),(50,1),(68,1)}
        59:{2,4,5,7}:{(46,1),(48,1),(51,1),(69,1)}
        60:{1,2,4,5,6}:{(47,1),(48,1),(52,1),(70,1),(71,1),(74,1),(101,1),(104,1)}
        61:{1,3,6,7}:{(49,1),(50,1),(68,1),(72,1),(87,1)}
        62:{2,3,6,7}:{(49,1),(51,1),(69,1),(72,1),(87,1)}
        63:{1,2,5,7}:{(50,1),(51,1),(52,1),(53,1),(72,1)}
        64:{1,2,3,5,6}:{(52,1),(54,1),(71,1),(73,1),(74,1),(76,1),(92,1),(101,1)}
        65:{1,2,3,7}:{(53,1),(54,1)}
        66:{1,2,3,4,6}:{(54,1),(55,1),(74,1),(75,1),(76,1),(92,1)}
        67:{3,5,6,7}:{(56,1),(57,1),(77,1),(78,1)}
        68:{1,4,6,7}:{(57,1),(58,1),(61,1),(77,1)}
        69:{2,4,6,7}:{(57,1),(59,1),(62,1),(78,1)}
        70:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(63,1),(79,1),(80,1),(83,1),(96,1),(102,1)}
        71:{3,5,6}:{(60,1),(80,1),(81,1)}
        72:{1,2,6,7}:{(61,1),(62,1),(63,1)}
        73:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(80,1),(82,1),(83,1),(96,1)}
        74:{1,2,4,6}:{(64,1),(81,1),(83,1),(84,1)}
        75:{1,2,3,4,7}:{(65,1),(66,1),(83,1),(85,1)}
        76:{1,2,3,5}:{(66,1),(84,1)}
        77:{1,5,6,7}:{(67,1),(68,1)}
        78:{2,5,6,7}:{(67,1),(69,1)}
        79:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(72,1),(86,1),(87,1),(98,1)}
        80:{3,5,7}:{(70,1),(71,1),(87,1),(88,1)}
        81:{3,4,6}:{(71,1),(74,1),(88,1),(89,1)}
        82:{1,2,3,6,7}:{(72,1),(73,1),(87,1),(90,1),(92,1)}
        83:{1,2,4,7}:{(73,1),(74,1),(88,1)}
        84:{1,2,4,5}:{(74,1),(76,1),(89,1)}
        85:{1,2,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,2,5,6,7}:{(77,1),(78,1),(79,1),(93,1),(96,1)}
        87:{3,6,7}:{(79,1),(80,1)}
        88:{3,4,7}:{(80,1),(81,1),(83,1)}
        89:{3,4,5}:{(81,1),(84,1)}
        90:{1,2,4,6,7}:{(82,1),(83,1),(94,1),(96,1),(97,1)}
        91:{1,2,4,5,7}:{(83,1),(84,1),(85,1),(95,1),(96,1),(97,1)}
        92:{1,2,3,6}:{(85,1),(97,1)}
        93:{3,5,6,7}:{(86,1),(87,1),(98,1),(99,1)}
        94:{3,4,6,7}:{(87,1),(88,1),(90,1),(98,1),(99,1),(100,1)}
        95:{3,4,5,7}:{(88,1),(89,1),(91,1),(99,1),(100,1)}
        96:{1,2,5,7}:{(90,1),(99,1),(101,1)}
        97:{1,2,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{4,6,7}:{(93,1),(102,1)}
        99:{3,5,7}:{(94,1),(96,1),(102,1),(103,1)}
       100:{3,4,6}:{(95,1),(97,1),(103,1)}
       101:{1,2,5,6}:{(96,1),(97,1),(103,1)}
       102:{4,5,7}:{(98,1),(99,1),(104,1)}
       103:{3,5,6}:{(99,1),(100,1),(101,1),(104,1)}
       104:{4,5,6}:{(102,1),(103,1)}

1503 :   0:{1,3,4,6,7}:{(2,1),(3,1),(14,1),(36,1),(42,1),(45,1),(67,1),(73,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(37,1),(42,1),(45,1),(68,1),(74,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(26,1),(29,1),(52,1),(53,1),(80,1),(87,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(30,1),(49,1),(85,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(8,1),(10,1),(30,1),(50,1),(86,1)}
         5:{1,3,5,6}:{(3,1),(13,1),(14,1),(39,1),(42,1)}
         6:{2,3,5,6}:{(4,1),(13,1),(15,1),(40,1),(42,1)}
         7:{1,2,3,6,7}:{(2,1),(16,1),(42,1),(67,1),(68,1),(75,1),(96,1),(101,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(4,1),(13,1),(65,1),(66,1),(95,1)}
         9:{1,4,5,7}:{(3,1),(14,1),(18,1),(89,1),(92,1)}
        10:{2,4,5,7}:{(4,1),(15,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(5,1),(20,1),(21,1),(49,1),(51,1),(78,1)}
        12:{2,3,5,6,7}:{(6,1),(20,1),(22,1),(50,1),(51,1),(79,1)}
        13:{1,2,5,6}:{(5,1),(6,1),(8,1),(26,1),(55,1),(56,1)}
        14:{1,4,6}:{(5,1),(9,1),(27,1)}
        15:{2,4,6}:{(6,1),(10,1),(28,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(25,1),(29,1),(30,1),(63,1),(78,1),(79,1),(88,1),(100,1)}
        17:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(26,1),(29,1),(30,1),(31,1),(32,1),(57,1),(63,1),(97,1),(98,1)}
        18:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(49,1),(77,1),(81,1)}
        19:{3,4,5,7}:{(10,1),(28,1),(30,1),(32,1),(50,1),(77,1),(81,1)}
        20:{1,2,5,6,7}:{(11,1),(12,1),(13,1),(35,1),(65,1),(66,1),(91,1)}
        21:{1,4,6,7}:{(11,1),(14,1),(33,1),(36,1),(89,1)}
        22:{2,4,6,7}:{(12,1),(15,1),(34,1),(37,1),(90,1)}
        23:{1,4,5,6}:{(14,1),(33,1),(39,1)}
        24:{2,4,5,6}:{(15,1),(34,1),(40,1)}
        25:{1,2,3,5,6}:{(13,1),(16,1),(41,1),(42,1),(70,1),(71,1),(72,1),(75,1),(95,1),(96,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(42,1),(43,1),(44,1),(75,1)}
        27:{3,4,6}:{(14,1),(18,1),(39,1),(42,1),(43,1)}
        28:{3,4,6}:{(15,1),(19,1),(40,1),(42,1),(44,1)}
        29:{1,2,4,7}:{(16,1),(41,1),(45,1),(89,1),(90,1),(103,1)}
        30:{3,5,7}:{(17,1),(42,1),(45,1),(72,1),(101,1),(102,1)}
        31:{2,4,5,7}:{(18,1),(43,1),(47,1),(65,1),(90,1),(93,1)}
        32:{1,4,5,7}:{(19,1),(44,1),(46,1),(66,1),(89,1),(92,1)}
        33:{1,4,5,7}:{(21,1),(23,1),(49,1)}
        34:{2,4,5,7}:{(22,1),(24,1),(50,1)}
        35:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(26,1),(48,1),(51,1),(52,1),(53,1),(80,1),(97,1)}
        36:{3,4,6,7}:{(21,1),(27,1),(49,1),(51,1),(52,1),(77,1)}
        37:{3,4,6,7}:{(22,1),(28,1),(50,1),(51,1),(53,1),(77,1)}
        38:{1,2,4,5,6}:{(23,1),(24,1),(26,1),(48,1),(54,1),(55,1),(56,1),(57,1),(82,1),(83,1),(84,1)}
        39:{3,5,6}:{(23,1),(27,1),(49,1),(55,1)}
        40:{3,5,6}:{(24,1),(28,1),(50,1),(56,1)}
        41:{1,2,4,6}:{(25,1),(29,1),(57,1),(58,1),(82,1),(83,1)}
        42:{3,6}:{(26,1),(30,1)}
        43:{2,4,6}:{(27,1),(31,1),(55,1),(60,1)}
        44:{1,4,6}:{(28,1),(32,1),(56,1),(59,1)}
        45:{3,4,7}:{(29,1),(30,1),(58,1),(104,1)}
        46:{1,3,5,7}:{(30,1),(32,1),(59,1),(61,1),(63,1),(85,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(60,1),(62,1),(63,1),(86,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(38,1),(64,1),(65,1),(66,1),(89,1),(90,1),(91,1)}
        49:{3,5,7}:{(33,1),(36,1),(39,1),(65,1)}
        50:{3,5,7}:{(34,1),(37,1),(40,1),(66,1)}
        51:{3,6,7}:{(35,1),(42,1),(64,1),(101,1)}
        52:{2,4,6,7}:{(36,1),(43,1),(65,1),(68,1),(90,1)}
        53:{1,4,6,7}:{(37,1),(44,1),(66,1),(67,1),(89,1)}
        54:{3,5,6}:{(38,1),(42,1),(64,1),(69,1),(72,1)}
        55:{2,5,6}:{(39,1),(43,1),(65,1)}
        56:{1,5,6}:{(40,1),(44,1),(66,1)}
        57:{1,2,4,5}:{(41,1),(72,1),(92,1),(93,1),(95,1)}
        58:{3,4,6}:{(41,1),(42,1),(45,1),(72,1)}
        59:{1,3,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{2,3,6}:{(42,1),(43,1),(47,1),(75,1)}
        61:{1,3,4,7}:{(45,1),(46,1),(73,1),(76,1),(89,1),(101,1)}
        62:{2,3,4,7}:{(45,1),(47,1),(74,1),(76,1),(90,1),(101,1)}
        63:{1,2,5,7}:{(46,1),(47,1),(75,1),(76,1),(95,1)}
        64:{3,5,7}:{(48,1),(51,1),(54,1),(77,1)}
        65:{2,5,7}:{(49,1),(52,1),(55,1)}
        66:{1,5,7}:{(50,1),(53,1),(56,1)}
        67:{1,3,6,7}:{(51,1),(53,1),(59,1),(78,1),(80,1)}
        68:{2,3,6,7}:{(51,1),(52,1),(60,1),(79,1),(80,1)}
        69:{3,4,6}:{(54,1),(77,1),(81,1),(82,1),(83,1),(99,1)}
        70:{1,3,5,6}:{(54,1),(56,1),(59,1),(78,1),(82,1),(84,1),(85,1),(99,1)}
        71:{2,3,5,6}:{(54,1),(55,1),(60,1),(79,1),(83,1),(84,1),(86,1),(99,1)}
        72:{3,5}:{(57,1),(58,1)}
        73:{1,3,4,6}:{(58,1),(59,1),(61,1),(82,1),(85,1),(87,1),(99,1),(104,1)}
        74:{2,3,4,6}:{(58,1),(60,1),(62,1),(83,1),(86,1),(87,1),(99,1),(104,1)}
        75:{1,2,6}:{(59,1),(60,1),(63,1)}
        76:{1,2,4,7}:{(61,1),(62,1),(63,1),(87,1),(88,1)}
        77:{3,4,7}:{(64,1),(69,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(66,1),(67,1),(70,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(68,1),(71,1),(90,1),(91,1),(101,1)}
        80:{1,2,6,7}:{(67,1),(68,1),(75,1),(91,1)}
        81:{3,4,5}:{(69,1),(72,1),(92,1),(93,1),(102,1)}
        82:{1,4,6}:{(69,1),(70,1),(89,1),(92,1)}
        83:{2,4,6}:{(69,1),(71,1),(90,1),(93,1)}
        84:{1,2,5,6}:{(70,1),(71,1),(75,1),(91,1),(94,1),(95,1)}
        85:{1,3,5}:{(72,1),(73,1),(92,1),(95,1),(102,1)}
        86:{2,3,5}:{(72,1),(74,1),(93,1),(95,1),(102,1)}
        87:{1,2,4,6}:{(73,1),(74,1),(75,1),(76,1),(95,1),(96,1),(103,1)}
        88:{1,2,3,7}:{(76,1),(96,1),(101,1)}
        89:{1,4,7}:{(77,1),(78,1),(82,1)}
        90:{2,4,7}:{(77,1),(79,1),(83,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(80,1),(84,1),(97,1)}
        92:{1,4,5}:{(81,1),(82,1),(85,1)}
        93:{2,4,5}:{(81,1),(83,1),(86,1)}
        94:{1,2,4,6}:{(82,1),(83,1),(84,1),(97,1),(98,1),(99,1)}
        95:{1,2,5}:{(85,1),(86,1),(87,1)}
        96:{1,2,3,6}:{(87,1),(88,1),(99,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(94,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
        99:{3,6}:{(94,1),(101,1),(102,1)}
       100:{1,2,3,5}:{(95,1),(96,1),(102,1),(103,1)}
       101:{3,7}:{(97,1),(99,1)}
       102:{3,5}:{(98,1),(99,1),(104,1)}
       103:{1,2,4}:{(100,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1504 :  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:{3,4,5}:{(2,1),(7,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
        6:{1,2,3,7}:{(3,1),(9,1)}
        7:{3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,5,6}:{(5,1),(10,1),(12,1)}
        9:{1,2,4,7}:{(5,1),(6,1),(11,1),(12,1)}
       10:{3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{3,4,7}:{(7,1),(9,1),(14,1)}
       12:{1,2,5,7}:{(8,1),(9,1),(14,1),(15,1)}
       13:{4,5,6}:{(10,1),(16,1)}
       14:{3,5,7}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
       15:{1,2,6,7}:{(12,1),(17,1)}
       16:{4,5,7}:{(13,1),(14,1),(18,1)}
       17:{3,6,7}:{(14,1),(15,1),(18,1)}
       18:{4,6,7}:{(16,1),(17,1),(19,1)}
       19:{5,6,7}:{(18,1)}

1505 :   0:{1,2,3,6,7}:{(3,1),(4,1),(41,1),(74,1),(75,1),(79,1),(83,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(41,1),(46,1),(49,1),(75,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(45,1),(53,1),(74,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(7,1),(9,1),(25,1),(65,1),(68,1),(71,1),(89,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(26,1),(61,1),(66,1),(87,1),(88,1),(94,1)}
         5:{2,3,5,7}:{(1,1),(7,1),(10,1),(11,1),(26,1),(64,1),(67,1)}
         6:{1,3,5,7}:{(2,1),(7,1),(12,1),(13,1),(26,1),(63,1),(70,1)}
         7:{1,2,5,7}:{(3,1),(5,1),(6,1),(14,1),(82,1),(84,1),(85,1)}
         8:{1,2,3,5,6}:{(4,1),(14,1),(16,1),(41,1),(44,1),(77,1),(78,1),(79,1),(82,1),(83,1)}
         9:{1,2,4,7}:{(4,1),(16,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(14,1),(19,1),(41,1),(50,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(81,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(14,1),(22,1),(41,1),(54,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(80,1),(95,1)}
        14:{1,2,5,6}:{(7,1),(10,1),(12,1),(25,1),(69,1),(72,1)}
        15:{1,2,4,5,7}:{(7,1),(9,1),(11,1),(13,1),(25,1),(26,1),(27,1),(34,1),(38,1),(61,1),(93,1),(101,1)}
        16:{1,2,4,6}:{(8,1),(9,1),(27,1),(28,1),(90,1),(91,1)}
        17:{3,4,7}:{(9,1),(26,1),(28,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(24,1),(31,1),(57,1),(67,1),(88,1)}
        19:{2,4,6}:{(10,1),(11,1),(33,1)}
        20:{3,4,5,7}:{(11,1),(26,1),(33,1),(34,1),(62,1),(67,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(24,1),(35,1),(57,1),(70,1),(87,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(26,1),(37,1),(38,1),(62,1),(70,1),(86,1)}
        24:{1,2,5,6,7}:{(14,1),(18,1),(21,1),(39,1),(84,1),(85,1),(97,1)}
        25:{1,2,4,6}:{(14,1),(15,1),(19,1),(22,1),(41,1),(51,1),(55,1),(79,1)}
        26:{3,5,7}:{(15,1),(17,1),(41,1),(44,1),(99,1),(104,1)}
        27:{1,2,4,5}:{(16,1),(44,1),(80,1),(81,1),(82,1)}
        28:{3,4,6}:{(16,1),(17,1),(41,1),(44,1)}
        29:{1,3,4,7}:{(17,1),(42,1),(45,1),(47,1),(95,1),(104,1)}
        30:{2,3,4,7}:{(17,1),(43,1),(46,1),(47,1),(96,1),(104,1)}
        31:{2,4,6,7}:{(18,1),(19,1),(48,1),(49,1),(96,1)}
        32:{2,4,5,6}:{(19,1),(48,1),(50,1)}
        33:{3,4,6}:{(19,1),(20,1),(41,1),(50,1),(51,1)}
        34:{1,4,5,7}:{(20,1),(42,1),(51,1),(80,1),(84,1),(95,1)}
        35:{1,4,6,7}:{(21,1),(22,1),(52,1),(53,1),(95,1)}
        36:{1,4,5,6}:{(22,1),(52,1),(54,1)}
        37:{3,4,6}:{(22,1),(23,1),(41,1),(54,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(43,1),(55,1),(81,1),(85,1),(96,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(31,1),(35,1),(56,1),(57,1),(68,1),(71,1),(89,1),(101,1)}
        40:{1,2,4,5,6}:{(25,1),(27,1),(32,1),(36,1),(56,1),(58,1),(69,1),(72,1),(90,1),(91,1),(92,1)}
        41:{3,6}:{(25,1),(26,1)}
        42:{1,3,5,7}:{(26,1),(29,1),(34,1),(59,1),(61,1),(63,1)}
        43:{2,3,5,7}:{(26,1),(30,1),(38,1),(60,1),(61,1),(64,1)}
        44:{3,5}:{(27,1),(28,1)}
        45:{1,3,4,6}:{(28,1),(29,1),(59,1),(63,1),(65,1),(90,1),(102,1),(103,1)}
        46:{2,3,4,6}:{(28,1),(30,1),(60,1),(64,1),(65,1),(91,1),(102,1),(103,1)}
        47:{1,2,4,7}:{(29,1),(30,1),(61,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(31,1),(32,1),(67,1)}
        49:{3,4,6,7}:{(31,1),(33,1),(57,1),(67,1),(68,1),(86,1)}
        50:{3,5,6}:{(32,1),(33,1),(67,1),(69,1)}
        51:{1,4,6}:{(33,1),(34,1),(59,1),(69,1)}
        52:{1,4,5,7}:{(35,1),(36,1),(70,1)}
        53:{3,4,6,7}:{(35,1),(37,1),(57,1),(70,1),(71,1),(86,1)}
        54:{3,5,6}:{(36,1),(37,1),(70,1),(72,1)}
        55:{2,4,6}:{(37,1),(38,1),(60,1),(72,1)}
        56:{1,2,4,5,7}:{(39,1),(40,1),(48,1),(52,1),(73,1),(84,1),(85,1),(95,1),(96,1),(97,1)}
        57:{3,6,7}:{(39,1),(41,1),(73,1),(104,1)}
        58:{3,5,6}:{(40,1),(41,1),(44,1),(73,1),(76,1)}
        59:{1,3,6}:{(41,1),(42,1),(51,1),(79,1)}
        60:{2,3,6}:{(41,1),(43,1),(55,1),(79,1)}
        61:{1,2,5,7}:{(42,1),(43,1),(47,1),(79,1),(82,1)}
        62:{3,4,5}:{(44,1),(76,1),(80,1),(81,1),(99,1)}
        63:{1,3,5}:{(44,1),(45,1),(80,1),(82,1),(99,1)}
        64:{2,3,5}:{(44,1),(46,1),(81,1),(82,1),(99,1)}
        65:{1,2,4,6}:{(45,1),(46,1),(47,1),(79,1),(82,1),(83,1),(100,1)}
        66:{1,2,3,7}:{(47,1),(83,1),(104,1)}
        67:{3,5,7}:{(48,1),(49,1),(50,1),(84,1)}
        68:{1,4,6,7}:{(49,1),(51,1),(74,1),(84,1),(95,1)}
        69:{1,5,6}:{(50,1),(51,1),(84,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{2,4,6,7}:{(53,1),(55,1),(75,1),(85,1),(96,1)}
        72:{2,5,6}:{(54,1),(55,1),(85,1)}
        73:{3,5,7}:{(56,1),(57,1),(58,1),(86,1)}
        74:{1,3,6,7}:{(57,1),(59,1),(68,1),(87,1),(89,1)}
        75:{2,3,6,7}:{(57,1),(60,1),(71,1),(88,1),(89,1)}
        76:{3,4,6}:{(58,1),(62,1),(86,1),(90,1),(91,1),(102,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(69,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(64,1),(72,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,6}:{(59,1),(60,1),(61,1)}
        80:{1,4,5}:{(62,1),(63,1),(90,1)}
        81:{2,4,5}:{(62,1),(64,1),(91,1)}
        82:{1,2,5}:{(63,1),(64,1),(65,1)}
        83:{1,2,3,6}:{(65,1),(66,1),(94,1),(102,1)}
        84:{1,5,7}:{(67,1),(68,1),(69,1)}
        85:{2,5,7}:{(70,1),(71,1),(72,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,3,5,7}:{(73,1),(74,1),(77,1),(84,1),(95,1),(97,1),(104,1)}
        88:{2,3,5,7}:{(73,1),(75,1),(78,1),(85,1),(96,1),(97,1),(104,1)}
        89:{1,2,6,7}:{(74,1),(75,1),(79,1),(97,1)}
        90:{1,4,6}:{(76,1),(77,1),(80,1),(95,1)}
        91:{2,4,6}:{(76,1),(78,1),(81,1),(96,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(82,1),(97,1),(98,1)}
        93:{1,2,4,5}:{(80,1),(81,1),(82,1),(98,1),(99,1),(100,1)}
        94:{1,2,3,5}:{(82,1),(83,1),(99,1),(100,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,5,7}:{(87,1),(88,1),(89,1),(92,1),(101,1)}
        98:{1,2,4,6}:{(90,1),(91,1),(92,1),(93,1),(101,1),(102,1)}
        99:{3,5}:{(93,1),(102,1),(103,1)}
       100:{1,2,4}:{(94,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       102:{3,6}:{(98,1),(99,1),(104,1)}
       103:{3,4}:{(99,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1506 :   0:{1,2,3,6}:{(3,1),(4,1),(5,1),(72,1),(128,1)}
         1:{2,3,4,6}:{(5,1),(6,1),(7,1),(20,1),(28,1),(29,1),(70,1),(72,1)}
         2:{1,3,4,6}:{(5,1),(8,1),(9,1),(20,1),(33,1),(34,1),(70,1),(72,1)}
         3:{1,2,3,5}:{(0,1),(11,1),(13,1),(38,1),(42,1),(97,1)}
         4:{1,2,3,7}:{(0,1),(12,1),(106,1),(154,1),(190,1)}
         5:{1,2,4,6}:{(0,1),(1,1),(2,1),(11,1),(12,1),(13,1),(46,1)}
         6:{2,3,4,7}:{(1,1),(12,1),(15,1),(41,1),(52,1),(106,1),(191,1)}
         7:{2,3,5}:{(1,1),(13,1),(14,1),(42,1),(104,1)}
         8:{1,3,4,7}:{(2,1),(12,1),(18,1),(41,1),(58,1),(106,1),(192,1)}
         9:{1,3,5}:{(2,1),(13,1),(17,1),(42,1),(104,1)}
        10:{1,2,3,5,7}:{(3,1),(4,1),(21,1),(22,1),(24,1),(64,1),(71,1),(73,1),(125,1),(127,1)}
        11:{1,2,4}:{(3,1),(20,1)}
        12:{1,2,4,7}:{(4,1),(5,1),(6,1),(8,1),(24,1),(208,1)}
        13:{1,2,5}:{(5,1),(7,1),(9,1)}
        14:{2,4,5}:{(7,1),(26,1),(28,1),(135,1)}
        15:{2,3,5,7}:{(6,1),(7,1),(24,1),(27,1),(29,1),(71,1),(209,1),(228,1)}
        16:{2,3,5,6}:{(7,1),(25,1),(28,1),(29,1),(30,1),(60,1),(72,1),(81,1),(136,1)}
        17:{1,4,5}:{(9,1),(31,1),(33,1),(135,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(24,1),(32,1),(34,1),(71,1),(210,1),(229,1)}
        19:{1,3,5,6}:{(9,1),(25,1),(33,1),(34,1),(35,1),(62,1),(72,1),(87,1),(136,1)}
        20:{3,4}:{(11,1),(42,1)}
        21:{1,2,3,6}:{(10,1),(43,1),(46,1),(105,1),(153,1)}
        22:{1,2,4,7}:{(10,1),(11,1),(41,1),(43,1),(151,1)}
        23:{1,2,4,5}:{(11,1),(13,1),(14,1),(17,1),(42,1),(45,1),(48,1),(54,1),(97,1)}
        24:{1,2,5,7}:{(12,1),(13,1),(15,1),(18,1),(46,1),(221,1),(230,1)}
        25:{1,2,5,6}:{(13,1),(16,1),(19,1),(45,1),(46,1),(47,1),(89,1),(92,1)}
        26:{3,4,5}:{(14,1),(42,1),(48,1),(50,1)}
        27:{2,4,5,7}:{(14,1),(15,1),(49,1),(51,1),(52,1),(113,1),(199,1),(226,1)}
        28:{2,4,6}:{(14,1),(16,1),(50,1),(52,1),(161,1)}
        29:{2,3,6}:{(15,1),(46,1),(51,1),(105,1)}
        30:{2,3,5,7}:{(16,1),(47,1),(52,1),(53,1),(90,1),(106,1),(113,1),(162,1)}
        31:{3,4,5}:{(17,1),(42,1),(54,1),(56,1)}
        32:{1,4,5,7}:{(17,1),(18,1),(55,1),(57,1),(58,1),(118,1),(196,1),(225,1)}
        33:{1,4,6}:{(17,1),(19,1),(56,1),(58,1),(161,1)}
        34:{1,3,6}:{(18,1),(46,1),(57,1),(105,1)}
        35:{1,3,5,7}:{(19,1),(47,1),(58,1),(59,1),(93,1),(106,1),(118,1),(162,1)}
        36:{2,4,5,6}:{(28,1),(60,1),(61,1),(81,1),(141,1)}
        37:{1,4,5,6}:{(33,1),(62,1),(63,1),(87,1),(145,1)}
        38:{1,2,3}:{(65,1)}
        39:{2,3,4}:{(20,1),(65,1),(67,1)}
        40:{1,3,4}:{(20,1),(65,1),(69,1)}
        41:{3,4,7}:{(20,1),(22,1),(70,1),(71,1),(173,1),(183,1)}
        42:{3,5}:{(20,1),(23,1),(72,1)}
        43:{1,2,4,6}:{(21,1),(22,1),(70,1),(73,1)}
        44:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(27,1),(32,1),(71,1),(73,1),(74,1),(75,1),(77,1),(83,1),(127,1),(135,1),(138,1),(174,1),(183,1),(212,1)}
        45:{1,2,4,6}:{(23,1),(25,1),(28,1),(33,1),(72,1),(75,1),(78,1),(84,1),(128,1)}
        46:{1,2,6}:{(24,1),(29,1),(34,1)}
        47:{1,2,5,7}:{(25,1),(30,1),(35,1),(75,1),(76,1),(119,1),(122,1)}
        48:{1,4,5}:{(26,1),(69,1),(78,1)}
        49:{3,4,5,7}:{(26,1),(27,1),(71,1),(77,1),(79,1),(80,1),(135,1),(142,1),(180,1),(183,1),(216,1)}
        50:{3,4,6}:{(26,1),(28,1),(60,1),(72,1),(78,1),(80,1)}
        51:{2,4,6}:{(27,1),(29,1),(79,1),(81,1)}
        52:{2,4,7}:{(28,1),(30,1),(80,1),(183,1)}
        53:{2,3,6,7}:{(29,1),(30,1),(76,1),(82,1),(120,1),(137,1),(228,1)}
        54:{2,4,5}:{(31,1),(67,1),(84,1)}
        55:{3,4,5,7}:{(31,1),(32,1),(71,1),(83,1),(85,1),(86,1),(135,1),(146,1),(177,1),(183,1),(214,1)}
        56:{3,4,6}:{(31,1),(33,1),(62,1),(72,1),(84,1),(86,1)}
        57:{1,4,6}:{(32,1),(34,1),(85,1),(87,1)}
        58:{1,4,7}:{(33,1),(35,1),(86,1),(183,1)}
        59:{1,3,6,7}:{(34,1),(35,1),(76,1),(88,1),(123,1),(137,1),(229,1)}
        60:{3,5,6}:{(36,1),(50,1),(89,1),(90,1)}
        61:{2,4,5,7}:{(36,1),(52,1),(90,1),(91,1),(113,1),(165,1)}
        62:{3,5,6}:{(37,1),(56,1),(92,1),(93,1)}
        63:{1,4,5,7}:{(37,1),(58,1),(93,1),(94,1),(118,1),(168,1)}
        64:{1,2,3,7}:{(38,1),(95,1),(96,1),(224,1),(230,1)}
        65:{1,2,4}:{(38,1),(39,1),(40,1),(97,1)}
        66:{2,3,4,7}:{(39,1),(41,1),(96,1),(98,1),(99,1),(198,1),(224,1)}
        67:{2,3,5}:{(39,1),(42,1),(54,1),(97,1),(100,1)}
        68:{1,3,4,7}:{(40,1),(41,1),(96,1),(101,1),(102,1),(201,1),(224,1)}
        69:{1,3,5}:{(40,1),(42,1),(48,1),(97,1),(103,1)}
        70:{3,4,6}:{(41,1),(43,1),(104,1),(105,1),(161,1)}
        71:{3,5,7}:{(41,1),(42,1),(44,1),(104,1),(105,1),(106,1),(193,1),(224,1)}
        72:{3,6}:{(42,1),(45,1),(106,1)}
        73:{1,2,5}:{(43,1),(104,1)}
        74:{1,2,4,6}:{(44,1),(46,1),(51,1),(57,1),(105,1),(107,1),(109,1),(114,1),(153,1),(161,1)}
        75:{1,2,4,7}:{(45,1),(47,1),(52,1),(58,1),(106,1),(110,1),(115,1),(154,1)}
        76:{1,2,6,7}:{(46,1),(47,1),(53,1),(59,1),(147,1),(149,1),(230,1)}
        77:{1,4,5,7}:{(48,1),(49,1),(102,1),(109,1),(110,1),(158,1),(164,1),(201,1)}
        78:{1,4,6}:{(48,1),(50,1),(89,1),(103,1),(110,1)}
        79:{3,4,6}:{(49,1),(51,1),(105,1),(109,1),(111,1),(161,1)}
        80:{3,4,7}:{(50,1),(52,1),(90,1),(106,1),(110,1)}
        81:{2,5,6}:{(51,1),(111,1),(113,1)}
        82:{2,4,6,7}:{(51,1),(52,1),(53,1),(112,1),(113,1),(219,1),(226,1)}
        83:{2,4,5,7}:{(54,1),(55,1),(99,1),(114,1),(115,1),(155,1),(167,1),(198,1)}
        84:{2,4,6}:{(54,1),(56,1),(92,1),(100,1),(115,1)}
        85:{3,4,6}:{(55,1),(57,1),(105,1),(114,1),(116,1),(161,1)}
        86:{3,4,7}:{(56,1),(58,1),(93,1),(106,1),(115,1)}
        87:{1,5,6}:{(57,1),(116,1),(118,1)}
        88:{1,4,6,7}:{(57,1),(58,1),(59,1),(117,1),(118,1),(220,1),(225,1)}
        89:{1,5,6}:{(60,1),(78,1),(119,1)}
        90:{3,5,7}:{(60,1),(61,1),(80,1),(119,1),(120,1)}
        91:{2,4,6,7}:{(61,1),(120,1),(121,1),(170,1)}
        92:{2,5,6}:{(62,1),(84,1),(122,1)}
        93:{3,5,7}:{(62,1),(63,1),(86,1),(122,1),(123,1)}
        94:{1,4,6,7}:{(63,1),(123,1),(124,1),(172,1)}
        95:{1,2,3,6}:{(64,1),(125,1),(126,1),(211,1),(227,1)}
        96:{1,2,4,7}:{(64,1),(65,1),(66,1),(68,1),(126,1),(127,1)}
        97:{1,2,5}:{(65,1),(67,1),(69,1),(128,1)}
        98:{2,3,4,6}:{(66,1),(70,1),(126,1),(129,1),(130,1),(173,1),(178,1),(211,1)}
        99:{2,3,5,7}:{(66,1),(67,1),(71,1),(83,1),(127,1),(129,1),(130,1),(131,1)}
       100:{2,3,6}:{(67,1),(72,1),(84,1),(128,1),(131,1)}
       101:{1,3,4,6}:{(68,1),(70,1),(126,1),(132,1),(133,1),(173,1),(181,1),(211,1)}
       102:{1,3,5,7}:{(68,1),(69,1),(71,1),(77,1),(127,1),(132,1),(133,1),(134,1)}
       103:{1,3,6}:{(69,1),(72,1),(78,1),(128,1),(134,1)}
       104:{3,5}:{(70,1),(73,1),(135,1)}
       105:{3,6}:{(71,1),(74,1)}
       106:{3,7}:{(72,1),(75,1)}
       107:{1,2,5,6}:{(73,1),(74,1),(81,1),(87,1),(136,1),(138,1),(139,1),(143,1)}
       108:{1,2,4,6,7}:{(74,1),(75,1),(76,1),(82,1),(88,1),(137,1),(138,1),(140,1),(144,1),(176,1),(183,1),(212,1)}
       109:{1,4,6}:{(77,1),(79,1),(133,1),(139,1)}
       110:{1,4,7}:{(78,1),(80,1),(119,1),(134,1)}
       111:{3,5,6}:{(79,1),(81,1),(139,1),(141,1),(142,1)}
       112:{3,4,6,7}:{(79,1),(80,1),(82,1),(120,1),(137,1),(140,1),(142,1),(170,1),(183,1),(206,1),(216,1)}
       113:{2,5,7}:{(81,1),(82,1),(142,1)}
       114:{2,4,6}:{(83,1),(85,1),(130,1),(143,1)}
       115:{2,4,7}:{(84,1),(86,1),(122,1),(131,1)}
       116:{3,5,6}:{(85,1),(87,1),(143,1),(145,1),(146,1)}
       117:{3,4,6,7}:{(85,1),(86,1),(88,1),(123,1),(137,1),(144,1),(146,1),(172,1),(183,1),(207,1),(214,1)}
       118:{1,5,7}:{(87,1),(88,1),(146,1)}
       119:{1,5,7}:{(89,1),(90,1),(110,1),(147,1)}
       120:{3,6,7}:{(90,1),(91,1),(147,1)}
       121:{2,5,6,7}:{(91,1),(113,1),(148,1),(219,1)}
       122:{2,5,7}:{(92,1),(93,1),(115,1),(149,1)}
       123:{3,6,7}:{(93,1),(94,1),(149,1)}
       124:{1,5,6,7}:{(94,1),(118,1),(150,1),(220,1)}
       125:{1,2,3,5}:{(95,1),(151,1),(152,1),(190,1),(193,1),(221,1)}
       126:{1,2,4,6}:{(95,1),(96,1),(98,1),(101,1),(151,1),(152,1),(153,1)}
       127:{1,2,5,7}:{(96,1),(97,1),(99,1),(102,1),(152,1),(153,1),(154,1)}
       128:{1,2,6}:{(97,1),(100,1),(103,1),(154,1)}
       129:{2,3,5}:{(98,1),(104,1),(152,1),(155,1),(193,1)}
       130:{2,3,6}:{(99,1),(105,1),(114,1),(153,1)}
       131:{2,3,7}:{(100,1),(106,1),(115,1),(154,1)}
       132:{1,3,5}:{(101,1),(104,1),(152,1),(158,1),(193,1)}
       133:{1,3,6}:{(102,1),(105,1),(109,1),(153,1)}
       134:{1,3,7}:{(103,1),(106,1),(110,1),(154,1)}
       135:{4,5}:{(104,1),(161,1)}
       136:{3,5,6}:{(104,1),(105,1),(107,1),(161,1),(162,1)}
       137:{3,6,7}:{(105,1),(106,1),(108,1),(162,1),(224,1)}
       138:{1,2,5,7}:{(107,1),(108,1),(113,1),(118,1),(162,1),(164,1),(167,1)}
       139:{1,5,6}:{(109,1),(111,1),(164,1)}
       140:{1,4,6,7}:{(109,1),(110,1),(112,1),(147,1),(160,1),(164,1),(201,1)}
       141:{4,5,6}:{(111,1),(161,1),(165,1)}
       142:{3,5,7}:{(111,1),(112,1),(113,1),(164,1),(165,1)}
       143:{2,5,6}:{(114,1),(116,1),(167,1)}
       144:{2,4,6,7}:{(114,1),(115,1),(117,1),(149,1),(157,1),(167,1),(198,1)}
       145:{4,5,6}:{(116,1),(161,1),(168,1)}
       146:{3,5,7}:{(116,1),(117,1),(118,1),(167,1),(168,1)}
       147:{1,6,7}:{(119,1),(120,1)}
       148:{3,5,6,7}:{(120,1),(121,1),(142,1),(169,1),(170,1),(206,1)}
       149:{2,6,7}:{(122,1),(123,1)}
       150:{3,5,6,7}:{(123,1),(124,1),(146,1),(171,1),(172,1),(207,1)}
       151:{1,2,4}:{(125,1),(173,1)}
       152:{1,2,5}:{(126,1),(129,1),(132,1)}
       153:{1,2,6}:{(127,1),(130,1),(133,1)}
       154:{1,2,7}:{(128,1),(131,1),(134,1)}
       155:{2,4,5}:{(129,1),(135,1),(177,1),(178,1)}
       156:{2,3,5,6}:{(129,1),(130,1),(136,1),(143,1),(175,1),(178,1),(179,1),(186,1),(211,1)}
       157:{2,3,6,7}:{(130,1),(131,1),(137,1),(144,1),(176,1),(179,1),(207,1)}
       158:{1,4,5}:{(132,1),(135,1),(180,1),(181,1)}
       159:{1,3,5,6}:{(132,1),(133,1),(136,1),(139,1),(175,1),(181,1),(182,1),(184,1),(211,1)}
       160:{1,3,6,7}:{(133,1),(134,1),(137,1),(140,1),(176,1),(182,1),(206,1)}
       161:{4,6}:{(135,1),(136,1),(183,1)}
       162:{3,5,7}:{(136,1),(137,1),(138,1),(183,1)}
       163:{1,4,5,6}:{(139,1),(141,1),(181,1),(184,1),(185,1)}
       164:{1,5,7}:{(139,1),(140,1),(142,1)}
       165:{4,5,7}:{(141,1),(142,1),(170,1),(183,1)}
       166:{2,4,5,6}:{(143,1),(145,1),(178,1),(186,1),(187,1)}
       167:{2,5,7}:{(143,1),(144,1),(146,1)}
       168:{4,5,7}:{(145,1),(146,1),(172,1),(183,1)}
       169:{1,5,6,7}:{(147,1),(148,1),(164,1),(188,1)}
       170:{4,6,7}:{(148,1),(165,1)}
       171:{2,5,6,7}:{(149,1),(150,1),(167,1),(189,1)}
       172:{4,6,7}:{(150,1),(168,1)}
       173:{3,4}:{(151,1),(193,1)}
       174:{1,2,4,5}:{(151,1),(152,1),(155,1),(158,1),(193,1),(194,1),(196,1),(199,1),(221,1)}
       175:{1,2,5,6}:{(152,1),(153,1),(156,1),(159,1),(194,1),(195,1),(202,1),(204,1)}
       176:{1,2,6,7}:{(153,1),(154,1),(157,1),(160,1),(195,1),(219,1),(220,1)}
       177:{3,4,5}:{(155,1),(193,1),(196,1),(197,1)}
       178:{2,4,6}:{(155,1),(156,1),(161,1),(197,1),(198,1)}
       179:{2,3,5,7}:{(156,1),(157,1),(162,1),(167,1),(195,1),(198,1),(205,1),(224,1)}
       180:{3,4,5}:{(158,1),(193,1),(199,1),(200,1)}
       181:{1,4,6}:{(158,1),(159,1),(161,1),(200,1),(201,1)}
       182:{1,3,5,7}:{(159,1),(160,1),(162,1),(164,1),(195,1),(201,1),(203,1),(224,1)}
       183:{4,7}:{(161,1),(162,1)}
       184:{3,5,6}:{(163,1),(200,1),(202,1),(203,1)}
       185:{1,4,5,7}:{(163,1),(164,1),(165,1),(188,1),(201,1),(203,1)}
       186:{3,5,6}:{(166,1),(197,1),(204,1),(205,1)}
       187:{2,4,5,7}:{(166,1),(167,1),(168,1),(189,1),(198,1),(205,1)}
       188:{1,4,6,7}:{(169,1),(170,1),(185,1),(206,1)}
       189:{2,4,6,7}:{(171,1),(172,1),(187,1),(207,1)}
       190:{1,2,3}:{(208,1)}
       191:{2,3,4}:{(173,1),(208,1),(209,1)}
       192:{1,3,4}:{(173,1),(208,1),(210,1)}
       193:{3,5}:{(173,1),(174,1),(211,1)}
       194:{1,2,4,6}:{(174,1),(175,1),(178,1),(181,1),(211,1),(212,1),(213,1),(215,1),(227,1)}
       195:{1,2,5,7}:{(175,1),(176,1),(179,1),(182,1),(212,1),(217,1),(218,1)}
       196:{1,4,5}:{(177,1),(210,1),(213,1)}
       197:{3,4,6}:{(177,1),(178,1),(186,1),(211,1),(213,1),(214,1)}
       198:{2,4,7}:{(178,1),(179,1),(183,1),(214,1)}
       199:{2,4,5}:{(180,1),(209,1),(215,1)}
       200:{3,4,6}:{(180,1),(181,1),(184,1),(211,1),(215,1),(216,1)}
       201:{1,4,7}:{(181,1),(182,1),(183,1),(216,1)}
       202:{2,5,6}:{(184,1),(215,1),(217,1)}
       203:{3,5,7}:{(184,1),(185,1),(206,1),(216,1),(217,1)}
       204:{1,5,6}:{(186,1),(213,1),(218,1)}
       205:{3,5,7}:{(186,1),(187,1),(207,1),(214,1),(218,1)}
       206:{3,6,7}:{(188,1),(203,1),(219,1)}
       207:{3,6,7}:{(189,1),(205,1),(220,1)}
       208:{1,2,4}:{(190,1),(191,1),(192,1),(221,1)}
       209:{2,3,5}:{(191,1),(193,1),(199,1),(221,1),(222,1)}
       210:{1,3,5}:{(192,1),(193,1),(196,1),(221,1),(223,1)}
       211:{3,6}:{(193,1),(194,1),(224,1)}
       212:{1,2,4,7}:{(194,1),(195,1),(198,1),(201,1),(224,1),(225,1),(226,1),(230,1)}
       213:{1,4,6}:{(196,1),(197,1),(204,1),(223,1),(225,1)}
       214:{3,4,7}:{(197,1),(198,1),(205,1),(224,1),(225,1)}
       215:{2,4,6}:{(199,1),(200,1),(202,1),(222,1),(226,1)}
       216:{3,4,7}:{(200,1),(201,1),(203,1),(224,1),(226,1)}
       217:{2,5,7}:{(202,1),(203,1),(219,1),(226,1)}
       218:{1,5,7}:{(204,1),(205,1),(220,1),(225,1)}
       219:{2,6,7}:{(206,1),(217,1)}
       220:{1,6,7}:{(207,1),(218,1)}
       221:{1,2,5}:{(208,1),(209,1),(210,1),(227,1)}
       222:{2,3,6}:{(209,1),(211,1),(215,1),(227,1),(228,1)}
       223:{1,3,6}:{(210,1),(211,1),(213,1),(227,1),(229,1)}
       224:{3,7}:{(211,1),(212,1)}
       225:{1,4,7}:{(213,1),(214,1),(218,1),(229,1)}
       226:{2,4,7}:{(215,1),(216,1),(217,1),(228,1)}
       227:{1,2,6}:{(221,1),(222,1),(223,1),(230,1)}
       228:{2,3,7}:{(222,1),(224,1),(226,1),(230,1)}
       229:{1,3,7}:{(223,1),(224,1),(225,1),(230,1)}
       230:{1,2,7}:{(227,1),(228,1),(229,1)}

1507 :   0:{1,3,4,5,7}:{(1,1),(2,1),(10,1),(41,1),(76,1),(84,1),(91,1),(122,1),(125,1),(130,1)}
         1:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(20,1),(26,1),(53,1),(63,1),(67,1)}
         2:{1,3,4,6}:{(0,1),(7,1),(8,1),(68,1),(147,1),(150,1),(155,1)}
         3:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(12,1),(39,1),(76,1),(81,1)}
         4:{1,3,5,6,7}:{(10,1),(11,1),(12,1),(13,1),(39,1),(121,1)}
         5:{1,4,5,6,7}:{(12,1),(13,1),(169,1)}
         6:{2,3,5,7}:{(1,1),(15,1),(16,1),(46,1),(125,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(47,1)}
         8:{1,3,5,6}:{(2,1),(10,1),(17,1),(18,1),(48,1),(84,1),(133,1)}
         9:{1,2,4,6,7}:{(3,1),(7,1),(19,1),(20,1),(53,1)}
        10:{1,3,5,7}:{(3,1),(8,1),(20,1),(21,1),(54,1),(107,1)}
        11:{1,2,5,6,7}:{(4,1),(20,1),(22,1),(23,1),(25,1),(96,1),(107,1)}
        12:{1,4,6,7}:{(4,1),(21,1),(24,1),(147,1)}
        13:{3,5,6,7}:{(5,1),(24,1),(25,1),(189,1)}
        14:{1,2,3,5,7}:{(6,1),(26,1),(27,1),(60,1),(63,1)}
        15:{2,3,4,7}:{(6,1),(26,1),(29,1),(53,1),(98,1)}
        16:{2,3,6}:{(6,1),(7,1),(150,1)}
        17:{1,2,5,6}:{(7,1),(8,1),(20,1),(30,1),(63,1)}
        18:{1,4,5,6}:{(8,1),(21,1),(32,1),(110,1),(147,1)}
        19:{2,3,6,7}:{(9,1),(16,1),(35,1),(39,1)}
        20:{1,2,5,7}:{(9,1),(10,1),(17,1),(35,1)}
        21:{1,4,5,7}:{(10,1),(12,1),(18,1),(37,1)}
        22:{2,3,5,6,7}:{(11,1),(35,1),(38,1),(39,1),(74,1),(80,1)}
        23:{1,2,4,6,7}:{(11,1),(12,1),(36,1),(38,1),(39,1),(40,1),(81,1),(82,1),(124,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(39,1),(40,1),(171,1)}
        25:{2,5,6,7}:{(13,1),(40,1),(202,1)}
        26:{1,2,4,7}:{(14,1),(15,1),(41,1),(43,1)}
        27:{1,2,3,6}:{(14,1),(16,1),(43,1),(83,1)}
        28:{2,3,4,5,7}:{(15,1),(42,1),(45,1),(46,1),(75,1),(89,1),(125,1),(136,1),(172,1),(179,1)}
        29:{2,3,4,6}:{(15,1),(16,1),(43,1),(46,1),(47,1),(88,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(35,1),(46,1),(47,1),(48,1)}
        31:{1,2,4,5,6}:{(17,1),(18,1),(36,1),(47,1),(48,1),(49,1),(79,1),(87,1),(92,1),(94,1),(124,1),(133,1)}
        32:{3,4,5,6}:{(18,1),(37,1),(48,1),(49,1),(136,1),(171,1)}
        33:{1,2,3,6,7}:{(19,1),(27,1),(50,1),(51,1),(58,1),(108,1),(150,1),(193,1),(194,1)}
        34:{2,3,4,6,7}:{(19,1),(29,1),(50,1),(52,1),(53,1),(57,1),(98,1),(100,1),(150,1)}
        35:{2,3,5,7}:{(19,1),(20,1),(30,1),(53,1),(54,1)}
        36:{1,2,4,5,7}:{(20,1),(21,1),(23,1),(31,1),(53,1),(54,1),(55,1),(56,1),(102,1),(104,1),(107,1)}
        37:{3,4,5,7}:{(21,1),(24,1),(32,1),(54,1),(55,1)}
        38:{2,4,6,7}:{(22,1),(53,1),(56,1),(57,1),(100,1)}
        39:{3,6,7}:{(23,1),(54,1),(150,1)}
        40:{2,4,6,7}:{(24,1),(25,1),(55,1),(59,1),(191,1)}
        41:{1,3,4,7}:{(26,1),(60,1),(61,1),(98,1),(158,1)}
        42:{1,2,4,5,7}:{(26,1),(28,1),(60,1),(62,1),(63,1),(110,1),(111,1),(158,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(29,1),(61,1),(63,1)}
        44:{1,2,3,5,6}:{(27,1),(30,1),(51,1),(63,1),(64,1),(69,1),(96,1),(109,1),(113,1),(150,1),(164,1),(165,1),(166,1),(194,1)}
        45:{2,3,4,6}:{(28,1),(62,1),(66,1),(100,1),(150,1),(159,1),(191,1)}
        46:{2,3,5}:{(29,1),(63,1),(67,1),(113,1)}
        47:{2,4,6}:{(30,1),(53,1),(67,1),(68,1)}
        48:{3,5,6}:{(31,1),(54,1),(68,1),(113,1),(150,1)}
        49:{2,4,5,6}:{(32,1),(55,1),(70,1),(161,1),(191,1)}
        50:{1,2,4,6,7}:{(33,1),(34,1),(43,1),(71,1),(72,1),(73,1),(81,1),(124,1),(203,1)}
        51:{1,2,3,5,7}:{(33,1),(35,1),(44,1),(72,1),(73,1),(77,1),(125,1),(134,1),(176,1),(177,1),(184,1)}
        52:{2,3,5,7}:{(34,1),(46,1),(72,1),(74,1),(75,1),(80,1),(125,1)}
        53:{2,4,7}:{(35,1),(47,1),(76,1)}
        54:{3,5,7}:{(36,1),(39,1),(48,1),(76,1)}
        55:{2,4,5,7}:{(37,1),(40,1),(49,1),(78,1)}
        56:{2,4,5,7}:{(38,1),(79,1),(80,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(76,1),(80,1),(81,1),(129,1)}
        58:{1,3,6,7}:{(39,1),(77,1),(81,1),(82,1),(174,1)}
        59:{2,3,6,7}:{(39,1),(40,1),(78,1),(82,1),(175,1)}
        60:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1),(125,1)}
        61:{1,3,4,6}:{(41,1),(43,1),(83,1),(84,1),(88,1),(135,1)}
        62:{1,2,4,6}:{(42,1),(45,1),(83,1),(86,1),(135,1)}
        63:{1,2,5}:{(43,1),(46,1),(84,1)}
        64:{1,2,4,6}:{(44,1),(47,1),(73,1),(87,1),(88,1),(92,1),(135,1),(181,1)}
        65:{2,3,4,6,7}:{(45,1),(85,1),(89,1),(128,1),(173,1),(179,1),(203,1)}
        66:{2,3,5,6}:{(45,1),(46,1),(86,1),(89,1),(90,1),(138,1),(202,1)}
        67:{2,4,5}:{(46,1),(47,1),(91,1)}
        68:{3,4,6}:{(47,1),(48,1),(76,1),(91,1),(92,1)}
        69:{1,3,5,6}:{(48,1),(77,1),(92,1),(94,1),(133,1),(139,1),(145,1),(174,1)}
        70:{2,3,5,6}:{(48,1),(49,1),(78,1),(93,1),(94,1),(140,1),(175,1)}
        71:{1,3,4,6,7}:{(50,1),(61,1),(95,1),(98,1),(108,1),(147,1),(150,1),(158,1),(190,1)}
        72:{1,2,5,7}:{(50,1),(52,1),(63,1),(95,1),(96,1),(107,1),(208,1)}
        73:{1,2,4,7}:{(51,1),(53,1),(64,1),(98,1),(102,1),(158,1),(196,1)}
        74:{2,3,5,6}:{(52,1),(96,1),(100,1),(106,1),(150,1)}
        75:{2,4,5,7}:{(52,1),(53,1),(67,1),(100,1),(101,1)}
        76:{3,4,7}:{(53,1),(54,1),(68,1),(102,1)}
        77:{1,3,5,7}:{(54,1),(58,1),(69,1),(102,1),(104,1),(107,1),(156,1)}
        78:{2,3,5,7}:{(54,1),(55,1),(59,1),(70,1),(103,1),(104,1)}
        79:{2,4,5,6}:{(56,1),(100,1),(106,1)}
        80:{3,5,7}:{(56,1),(57,1),(106,1),(107,1)}
        81:{1,4,6,7}:{(57,1),(58,1),(102,1),(107,1),(155,1)}
        82:{1,2,6,7}:{(58,1),(59,1),(104,1),(194,1)}
        83:{1,3,6}:{(60,1),(62,1),(150,1)}
        84:{1,3,5}:{(61,1),(63,1),(110,1),(113,1)}
        85:{1,2,4,6,7}:{(62,1),(65,1),(108,1),(111,1),(158,1)}
        86:{1,2,5,6}:{(62,1),(63,1),(66,1),(109,1),(111,1)}
        87:{1,2,4,5}:{(63,1),(64,1),(67,1),(110,1),(113,1),(118,1),(161,1),(165,1)}
        88:{3,4,6}:{(64,1),(98,1),(113,1),(150,1)}
        89:{2,3,5,7}:{(65,1),(66,1),(111,1),(116,1),(162,1),(208,1)}
        90:{2,4,5,6}:{(66,1),(67,1),(100,1),(116,1),(117,1)}
        91:{3,4,5}:{(67,1),(68,1),(113,1),(118,1)}
        92:{1,4,6}:{(68,1),(69,1),(102,1),(118,1)}
        93:{2,3,4,6}:{(68,1),(70,1),(103,1),(119,1),(120,1)}
        94:{1,2,5,6}:{(69,1),(70,1),(104,1),(120,1),(165,1),(194,1)}
        95:{1,3,5,7}:{(71,1),(72,1),(84,1),(121,1),(122,1),(125,1),(201,1)}
        96:{1,2,5,6}:{(72,1),(74,1),(121,1),(124,1),(133,1),(202,1)}
        97:{1,2,4,5,7}:{(72,1),(73,1),(75,1),(87,1),(122,1),(124,1),(125,1),(130,1),(172,1),(176,1)}
        98:{3,4,7}:{(73,1),(88,1),(125,1)}
        99:{2,3,5,6,7}:{(74,1),(89,1),(123,1),(128,1),(132,1),(173,1)}
       100:{2,4,6}:{(74,1),(75,1),(129,1)}
       101:{3,4,5,7}:{(75,1),(76,1),(80,1),(91,1),(125,1),(129,1),(130,1)}
       102:{1,4,7}:{(76,1),(77,1),(92,1)}
       103:{2,3,4,7}:{(76,1),(78,1),(93,1),(131,1)}
       104:{1,2,5,7}:{(77,1),(78,1),(82,1),(94,1),(131,1)}
       105:{2,4,5,6,7}:{(79,1),(128,1),(132,1)}
       106:{3,5,6}:{(79,1),(80,1),(129,1),(133,1)}
       107:{1,5,7}:{(80,1),(81,1),(133,1)}
       108:{1,3,6,7}:{(83,1),(85,1),(134,1),(173,1)}
       109:{1,3,5,6}:{(83,1),(84,1),(86,1),(134,1),(135,1),(138,1)}
       110:{1,4,5}:{(84,1),(135,1),(136,1)}
       111:{1,2,5,7}:{(85,1),(86,1),(89,1),(134,1)}
       112:{1,2,4,5,6}:{(86,1),(87,1),(90,1),(124,1),(135,1),(137,1),(138,1),(143,1),(169,1),(181,1),(185,1),(202,1)}
       113:{3,5}:{(87,1),(88,1)}
       114:{1,3,4,6}:{(88,1),(92,1),(126,1),(139,1),(141,1),(145,1),(174,1),(187,1)}
       115:{2,3,4,6}:{(88,1),(127,1),(140,1),(141,1),(175,1),(181,1),(206,1),(207,1)}
       116:{2,4,5,7}:{(89,1),(90,1),(128,1),(142,1)}
       117:{3,4,5,6}:{(90,1),(91,1),(129,1),(138,1),(142,1),(143,1)}
       118:{1,4,5}:{(91,1),(92,1),(139,1)}
       119:{2,3,4,5}:{(91,1),(93,1),(140,1),(144,1),(207,1)}
       120:{1,2,4,6}:{(92,1),(93,1),(94,1),(131,1),(144,1),(145,1)}
       121:{1,3,5,6}:{(95,1),(96,1),(147,1),(150,1),(189,1)}
       122:{1,4,5,7}:{(95,1),(110,1),(147,1),(148,1),(158,1)}
       123:{1,2,5,6,7}:{(96,1),(99,1),(111,1),(146,1),(149,1),(157,1),(208,1)}
       124:{1,2,4,6}:{(96,1),(97,1),(100,1),(147,1),(150,1),(155,1),(191,1),(194,1)}
       125:{3,5,7}:{(97,1),(98,1),(113,1),(150,1)}
       126:{1,3,4,7}:{(98,1),(102,1),(114,1),(151,1),(153,1),(156,1)}
       127:{2,3,4,7}:{(98,1),(115,1),(152,1),(153,1),(196,1),(209,1)}
       128:{2,4,6,7}:{(99,1),(100,1),(116,1),(154,1)}
       129:{3,4,6}:{(100,1),(101,1),(106,1),(150,1),(155,1)}
       130:{1,4,5,7}:{(101,1),(102,1),(107,1),(118,1),(151,1),(155,1)}
       131:{1,2,4,7}:{(102,1),(103,1),(104,1),(120,1),(156,1)}
       132:{3,5,6,7}:{(105,1),(106,1),(154,1),(157,1)}
       133:{1,5,6}:{(106,1),(107,1),(155,1)}
       134:{1,3,5,7}:{(108,1),(109,1),(111,1),(158,1),(162,1)}
       135:{1,4,6}:{(109,1),(110,1),(158,1),(159,1)}
       136:{3,4,5}:{(110,1),(113,1),(159,1),(161,1)}
       137:{1,2,4,5,7}:{(111,1),(112,1),(116,1),(149,1),(158,1),(162,1),(167,1),(188,1),(196,1),(199,1),(208,1)}
       138:{3,5,6}:{(112,1),(113,1),(150,1),(159,1),(162,1)}
       139:{1,3,5}:{(113,1),(114,1),(118,1),(165,1)}
       140:{2,3,5}:{(113,1),(115,1),(161,1),(165,1)}
       141:{1,2,4,6}:{(114,1),(115,1),(153,1),(165,1),(166,1),(194,1),(200,1)}
       142:{3,4,5,7}:{(116,1),(117,1),(154,1),(162,1),(167,1)}
       143:{1,4,5,6}:{(117,1),(118,1),(155,1),(163,1),(167,1)}
       144:{1,2,4,5}:{(118,1),(119,1),(120,1),(165,1),(168,1),(200,1)}
       145:{1,3,6}:{(120,1),(156,1),(168,1)}
       146:{1,3,5,6,7}:{(121,1),(123,1),(134,1),(170,1),(173,1),(201,1)}
       147:{1,4,6}:{(121,1),(122,1),(171,1)}
       148:{3,4,5,7}:{(122,1),(125,1),(136,1),(171,1),(172,1),(179,1),(201,1)}
       149:{1,2,4,6,7}:{(123,1),(124,1),(128,1),(137,1),(170,1),(173,1),(178,1),(203,1),(204,1)}
       150:{3,6}:{(124,1),(125,1)}
       151:{1,3,5,7}:{(125,1),(126,1),(130,1),(139,1),(174,1),(176,1)}
       152:{2,3,5,7}:{(125,1),(127,1),(140,1),(172,1),(175,1),(176,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(141,1),(176,1),(177,1)}
       154:{3,4,6,7}:{(128,1),(129,1),(132,1),(142,1),(173,1),(178,1)}
       155:{1,4,6}:{(129,1),(130,1),(133,1),(174,1)}
       156:{1,3,7}:{(131,1),(145,1)}
       157:{1,5,6,7}:{(132,1),(133,1),(178,1)}
       158:{1,4,7}:{(134,1),(135,1),(179,1)}
       159:{3,4,6}:{(135,1),(136,1),(138,1),(179,1),(181,1)}
       160:{1,3,4,5}:{(136,1),(139,1),(180,1),(182,1),(187,1)}
       161:{2,4,5}:{(136,1),(140,1),(181,1)}
       162:{3,5,7}:{(137,1),(138,1),(173,1),(179,1)}
       163:{1,3,5,6}:{(138,1),(139,1),(143,1),(174,1),(180,1),(183,1),(185,1)}
       164:{2,3,5,6}:{(138,1),(140,1),(175,1),(181,1),(184,1),(185,1),(202,1),(206,1)}
       165:{1,2,5}:{(139,1),(140,1),(141,1)}
       166:{1,2,3,6}:{(141,1),(145,1),(177,1),(186,1),(206,1)}
       167:{1,4,5,7}:{(142,1),(143,1),(178,1),(183,1)}
       168:{1,3,5}:{(144,1),(145,1),(187,1)}
       169:{1,4,5,6}:{(147,1),(188,1),(189,1)}
       170:{1,4,6,7}:{(146,1),(147,1),(158,1),(188,1),(190,1)}
       171:{3,4,6}:{(147,1),(148,1),(150,1),(189,1),(191,1)}
       172:{2,4,5,7}:{(148,1),(152,1),(161,1),(191,1),(196,1),(208,1)}
       173:{3,6,7}:{(149,1),(150,1),(162,1)}
       174:{1,3,6}:{(150,1),(151,1),(155,1),(194,1)}
       175:{2,3,6}:{(150,1),(152,1),(191,1),(194,1)}
       176:{1,2,5,7}:{(151,1),(152,1),(153,1),(165,1),(194,1)}
       177:{1,2,3,7}:{(153,1),(156,1),(166,1),(209,1)}
       178:{1,4,6,7}:{(154,1),(155,1),(157,1),(167,1),(192,1)}
       179:{3,4,7}:{(158,1),(159,1),(162,1),(196,1)}
       180:{1,3,4,6}:{(159,1),(160,1),(163,1),(195,1),(197,1)}
       181:{2,4,6}:{(159,1),(161,1),(164,1),(196,1)}
       182:{1,2,4,5}:{(160,1),(161,1),(165,1),(197,1),(198,1),(200,1)}
       183:{1,3,5,7}:{(162,1),(163,1),(167,1),(192,1),(195,1),(199,1)}
       184:{2,3,5,7}:{(162,1),(164,1),(193,1),(196,1),(199,1),(208,1),(209,1)}
       185:{1,2,5,6}:{(163,1),(164,1),(165,1),(194,1),(197,1),(199,1)}
       186:{1,2,3,5}:{(165,1),(166,1),(168,1),(198,1),(200,1)}
       187:{1,3,4}:{(168,1),(200,1)}
       188:{1,4,5,7}:{(169,1),(170,1),(201,1)}
       189:{3,5,6}:{(169,1),(171,1),(201,1),(202,1)}
       190:{3,4,6,7}:{(170,1),(171,1),(173,1),(179,1),(201,1),(203,1)}
       191:{2,4,6}:{(171,1),(172,1),(175,1),(202,1)}
       192:{1,3,6,7}:{(173,1),(174,1),(178,1),(183,1),(204,1)}
       193:{2,3,6,7}:{(173,1),(175,1),(184,1),(203,1),(204,1)}
       194:{1,2,6}:{(174,1),(175,1),(176,1)}
       195:{1,3,4,7}:{(179,1),(180,1),(183,1),(205,1)}
       196:{2,4,7}:{(179,1),(181,1),(184,1)}
       197:{1,2,4,6}:{(180,1),(181,1),(182,1),(185,1),(205,1),(206,1)}
       198:{2,3,5}:{(182,1),(206,1),(207,1)}
       199:{1,2,5,7}:{(183,1),(184,1),(185,1),(204,1),(205,1)}
       200:{1,2,4}:{(186,1),(187,1),(207,1)}
       201:{3,5,7}:{(188,1),(189,1),(190,1),(208,1)}
       202:{2,5,6}:{(189,1),(191,1),(208,1)}
       203:{2,4,6,7}:{(190,1),(191,1),(193,1),(196,1),(208,1)}
       204:{1,2,6,7}:{(192,1),(193,1),(194,1),(199,1)}
       205:{1,2,4,7}:{(195,1),(196,1),(197,1),(199,1),(209,1)}
       206:{2,3,6}:{(197,1),(198,1),(209,1)}
       207:{2,3,4}:{(198,1),(200,1)}
       208:{2,5,7}:{(201,1),(202,1),(203,1)}
       209:{2,3,7}:{(205,1),(206,1)}

1508 :   0:{2,3,4,5,7}:{(1,1),(2,1),(10,1),(41,1),(76,1),(84,1),(91,1),(122,1),(125,1),(130,1)}
         1:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(20,1),(26,1),(53,1),(63,1),(67,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(68,1),(147,1),(150,1),(155,1)}
         3:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(12,1),(39,1),(76,1),(81,1)}
         4:{2,3,5,6,7}:{(10,1),(11,1),(12,1),(13,1),(39,1),(121,1)}
         5:{2,4,5,6,7}:{(12,1),(13,1),(169,1)}
         6:{1,3,5,7}:{(1,1),(15,1),(16,1),(46,1),(125,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(47,1)}
         8:{2,3,5,6}:{(2,1),(10,1),(17,1),(18,1),(48,1),(84,1),(133,1)}
         9:{1,2,4,6,7}:{(3,1),(7,1),(19,1),(20,1),(53,1)}
        10:{2,3,5,7}:{(3,1),(8,1),(20,1),(21,1),(54,1),(107,1)}
        11:{1,2,5,6,7}:{(4,1),(20,1),(22,1),(23,1),(25,1),(96,1),(107,1)}
        12:{2,4,6,7}:{(4,1),(21,1),(24,1),(147,1)}
        13:{3,5,6,7}:{(5,1),(24,1),(25,1),(189,1)}
        14:{1,2,3,5,7}:{(6,1),(26,1),(27,1),(60,1),(63,1)}
        15:{1,3,4,7}:{(6,1),(26,1),(29,1),(53,1),(98,1)}
        16:{1,3,6}:{(6,1),(7,1),(150,1)}
        17:{1,2,5,6}:{(7,1),(8,1),(20,1),(30,1),(63,1)}
        18:{2,4,5,6}:{(8,1),(21,1),(32,1),(110,1),(147,1)}
        19:{1,3,6,7}:{(9,1),(16,1),(35,1),(39,1)}
        20:{1,2,5,7}:{(9,1),(10,1),(17,1),(35,1)}
        21:{2,4,5,7}:{(10,1),(12,1),(18,1),(37,1)}
        22:{1,3,5,6,7}:{(11,1),(35,1),(38,1),(39,1),(74,1),(80,1)}
        23:{1,2,4,6,7}:{(11,1),(12,1),(36,1),(38,1),(39,1),(40,1),(81,1),(82,1),(124,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(39,1),(40,1),(171,1)}
        25:{1,5,6,7}:{(13,1),(40,1),(202,1)}
        26:{1,2,4,7}:{(14,1),(15,1),(41,1),(43,1)}
        27:{1,2,3,6}:{(14,1),(16,1),(43,1),(83,1)}
        28:{1,3,4,5,7}:{(15,1),(42,1),(45,1),(46,1),(75,1),(89,1),(125,1),(136,1),(172,1),(179,1)}
        29:{1,3,4,6}:{(15,1),(16,1),(43,1),(46,1),(47,1),(88,1)}
        30:{1,3,5,6}:{(16,1),(17,1),(35,1),(46,1),(47,1),(48,1)}
        31:{1,2,4,5,6}:{(17,1),(18,1),(36,1),(47,1),(48,1),(49,1),(79,1),(87,1),(93,1),(94,1),(124,1),(133,1)}
        32:{3,4,5,6}:{(18,1),(37,1),(48,1),(49,1),(136,1),(171,1)}
        33:{1,2,3,6,7}:{(19,1),(27,1),(50,1),(51,1),(59,1),(108,1),(150,1),(192,1),(194,1)}
        34:{1,3,4,6,7}:{(19,1),(29,1),(50,1),(52,1),(53,1),(57,1),(98,1),(100,1),(150,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(30,1),(53,1),(54,1)}
        36:{1,2,4,5,7}:{(20,1),(21,1),(23,1),(31,1),(53,1),(54,1),(55,1),(56,1),(103,1),(104,1),(107,1)}
        37:{3,4,5,7}:{(21,1),(24,1),(32,1),(54,1),(55,1)}
        38:{1,4,6,7}:{(22,1),(53,1),(56,1),(57,1),(100,1)}
        39:{3,6,7}:{(23,1),(54,1),(150,1)}
        40:{1,4,6,7}:{(24,1),(25,1),(55,1),(58,1),(191,1)}
        41:{2,3,4,7}:{(26,1),(60,1),(61,1),(98,1),(158,1)}
        42:{1,2,4,5,7}:{(26,1),(28,1),(60,1),(62,1),(63,1),(110,1),(111,1),(158,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(29,1),(61,1),(63,1)}
        44:{1,2,3,5,6}:{(27,1),(30,1),(51,1),(63,1),(64,1),(70,1),(96,1),(109,1),(113,1),(150,1),(163,1),(165,1),(166,1),(194,1)}
        45:{1,3,4,6}:{(28,1),(62,1),(66,1),(100,1),(150,1),(159,1),(191,1)}
        46:{1,3,5}:{(29,1),(63,1),(67,1),(113,1)}
        47:{1,4,6}:{(30,1),(53,1),(67,1),(68,1)}
        48:{3,5,6}:{(31,1),(54,1),(68,1),(113,1),(150,1)}
        49:{1,4,5,6}:{(32,1),(55,1),(69,1),(160,1),(191,1)}
        50:{1,2,4,6,7}:{(33,1),(34,1),(43,1),(71,1),(72,1),(73,1),(81,1),(124,1),(203,1)}
        51:{1,2,3,5,7}:{(33,1),(35,1),(44,1),(72,1),(73,1),(78,1),(125,1),(134,1),(176,1),(177,1),(183,1)}
        52:{1,3,5,7}:{(34,1),(46,1),(72,1),(74,1),(75,1),(80,1),(125,1)}
        53:{1,4,7}:{(35,1),(47,1),(76,1)}
        54:{3,5,7}:{(36,1),(39,1),(48,1),(76,1)}
        55:{1,4,5,7}:{(37,1),(40,1),(49,1),(77,1)}
        56:{1,4,5,7}:{(38,1),(79,1),(80,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(76,1),(80,1),(81,1),(129,1)}
        58:{1,3,6,7}:{(39,1),(40,1),(77,1),(82,1),(174,1)}
        59:{2,3,6,7}:{(39,1),(78,1),(81,1),(82,1),(175,1)}
        60:{2,3,5,7}:{(41,1),(42,1),(83,1),(84,1),(125,1)}
        61:{2,3,4,6}:{(41,1),(43,1),(83,1),(84,1),(88,1),(135,1)}
        62:{1,2,4,6}:{(42,1),(45,1),(83,1),(86,1),(135,1)}
        63:{1,2,5}:{(43,1),(46,1),(84,1)}
        64:{1,2,4,6}:{(44,1),(47,1),(73,1),(87,1),(88,1),(93,1),(135,1),(180,1)}
        65:{1,3,4,6,7}:{(45,1),(85,1),(89,1),(128,1),(173,1),(179,1),(203,1)}
        66:{1,3,5,6}:{(45,1),(46,1),(86,1),(89,1),(90,1),(138,1),(202,1)}
        67:{1,4,5}:{(46,1),(47,1),(91,1)}
        68:{3,4,6}:{(47,1),(48,1),(76,1),(91,1),(93,1)}
        69:{1,3,5,6}:{(48,1),(49,1),(77,1),(92,1),(94,1),(139,1),(174,1)}
        70:{2,3,5,6}:{(48,1),(78,1),(93,1),(94,1),(133,1),(140,1),(145,1),(175,1)}
        71:{2,3,4,6,7}:{(50,1),(61,1),(95,1),(98,1),(108,1),(147,1),(150,1),(158,1),(190,1)}
        72:{1,2,5,7}:{(50,1),(52,1),(63,1),(95,1),(96,1),(107,1),(208,1)}
        73:{1,2,4,7}:{(51,1),(53,1),(64,1),(98,1),(103,1),(158,1),(195,1)}
        74:{1,3,5,6}:{(52,1),(96,1),(100,1),(106,1),(150,1)}
        75:{1,4,5,7}:{(52,1),(53,1),(67,1),(100,1),(101,1)}
        76:{3,4,7}:{(53,1),(54,1),(68,1),(103,1)}
        77:{1,3,5,7}:{(54,1),(55,1),(58,1),(69,1),(102,1),(104,1)}
        78:{2,3,5,7}:{(54,1),(59,1),(70,1),(103,1),(104,1),(107,1),(156,1)}
        79:{1,4,5,6}:{(56,1),(100,1),(106,1)}
        80:{3,5,7}:{(56,1),(57,1),(106,1),(107,1)}
        81:{2,4,6,7}:{(57,1),(59,1),(103,1),(107,1),(155,1)}
        82:{1,2,6,7}:{(58,1),(59,1),(104,1),(194,1)}
        83:{2,3,6}:{(60,1),(62,1),(150,1)}
        84:{2,3,5}:{(61,1),(63,1),(110,1),(113,1)}
        85:{1,2,4,6,7}:{(62,1),(65,1),(108,1),(111,1),(158,1)}
        86:{1,2,5,6}:{(62,1),(63,1),(66,1),(109,1),(111,1)}
        87:{1,2,4,5}:{(63,1),(64,1),(67,1),(110,1),(113,1),(119,1),(160,1),(165,1)}
        88:{3,4,6}:{(64,1),(98,1),(113,1),(150,1)}
        89:{1,3,5,7}:{(65,1),(66,1),(111,1),(116,1),(162,1),(208,1)}
        90:{1,4,5,6}:{(66,1),(67,1),(100,1),(116,1),(117,1)}
        91:{3,4,5}:{(67,1),(68,1),(113,1),(119,1)}
        92:{1,3,4,6}:{(68,1),(69,1),(102,1),(118,1),(120,1)}
        93:{2,4,6}:{(68,1),(70,1),(103,1),(119,1)}
        94:{1,2,5,6}:{(69,1),(70,1),(104,1),(120,1),(165,1),(194,1)}
        95:{2,3,5,7}:{(71,1),(72,1),(84,1),(121,1),(122,1),(125,1),(201,1)}
        96:{1,2,5,6}:{(72,1),(74,1),(121,1),(124,1),(133,1),(202,1)}
        97:{1,2,4,5,7}:{(72,1),(73,1),(75,1),(87,1),(122,1),(124,1),(125,1),(130,1),(172,1),(176,1)}
        98:{3,4,7}:{(73,1),(88,1),(125,1)}
        99:{1,3,5,6,7}:{(74,1),(89,1),(123,1),(128,1),(132,1),(173,1)}
       100:{1,4,6}:{(74,1),(75,1),(129,1)}
       101:{3,4,5,7}:{(75,1),(76,1),(80,1),(91,1),(125,1),(129,1),(130,1)}
       102:{1,3,4,7}:{(76,1),(77,1),(92,1),(131,1)}
       103:{2,4,7}:{(76,1),(78,1),(93,1)}
       104:{1,2,5,7}:{(77,1),(78,1),(82,1),(94,1),(131,1)}
       105:{1,4,5,6,7}:{(79,1),(128,1),(132,1)}
       106:{3,5,6}:{(79,1),(80,1),(129,1),(133,1)}
       107:{2,5,7}:{(80,1),(81,1),(133,1)}
       108:{2,3,6,7}:{(83,1),(85,1),(134,1),(173,1)}
       109:{2,3,5,6}:{(83,1),(84,1),(86,1),(134,1),(135,1),(138,1)}
       110:{2,4,5}:{(84,1),(135,1),(136,1)}
       111:{1,2,5,7}:{(85,1),(86,1),(89,1),(134,1)}
       112:{1,2,4,5,6}:{(86,1),(87,1),(90,1),(124,1),(135,1),(137,1),(138,1),(143,1),(169,1),(180,1),(185,1),(202,1)}
       113:{3,5}:{(87,1),(88,1)}
       114:{1,3,4,6}:{(88,1),(126,1),(139,1),(141,1),(174,1),(180,1),(206,1),(207,1)}
       115:{2,3,4,6}:{(88,1),(93,1),(127,1),(140,1),(141,1),(145,1),(175,1),(187,1)}
       116:{1,4,5,7}:{(89,1),(90,1),(128,1),(142,1)}
       117:{3,4,5,6}:{(90,1),(91,1),(129,1),(138,1),(142,1),(143,1)}
       118:{1,3,4,5}:{(91,1),(92,1),(139,1),(144,1),(207,1)}
       119:{2,4,5}:{(91,1),(93,1),(140,1)}
       120:{1,2,4,6}:{(92,1),(93,1),(94,1),(131,1),(144,1),(145,1)}
       121:{2,3,5,6}:{(95,1),(96,1),(147,1),(150,1),(189,1)}
       122:{2,4,5,7}:{(95,1),(110,1),(147,1),(148,1),(158,1)}
       123:{1,2,5,6,7}:{(96,1),(99,1),(111,1),(146,1),(149,1),(157,1),(208,1)}
       124:{1,2,4,6}:{(96,1),(97,1),(100,1),(147,1),(150,1),(155,1),(191,1),(194,1)}
       125:{3,5,7}:{(97,1),(98,1),(113,1),(150,1)}
       126:{1,3,4,7}:{(98,1),(114,1),(151,1),(153,1),(195,1),(209,1)}
       127:{2,3,4,7}:{(98,1),(103,1),(115,1),(152,1),(153,1),(156,1)}
       128:{1,4,6,7}:{(99,1),(100,1),(116,1),(154,1)}
       129:{3,4,6}:{(100,1),(101,1),(106,1),(150,1),(155,1)}
       130:{2,4,5,7}:{(101,1),(103,1),(107,1),(119,1),(152,1),(155,1)}
       131:{1,2,4,7}:{(102,1),(103,1),(104,1),(120,1),(156,1)}
       132:{3,5,6,7}:{(105,1),(106,1),(154,1),(157,1)}
       133:{2,5,6}:{(106,1),(107,1),(155,1)}
       134:{2,3,5,7}:{(108,1),(109,1),(111,1),(158,1),(162,1)}
       135:{2,4,6}:{(109,1),(110,1),(158,1),(159,1)}
       136:{3,4,5}:{(110,1),(113,1),(159,1),(160,1)}
       137:{1,2,4,5,7}:{(111,1),(112,1),(116,1),(149,1),(158,1),(162,1),(167,1),(188,1),(195,1),(199,1),(208,1)}
       138:{3,5,6}:{(112,1),(113,1),(150,1),(159,1),(162,1)}
       139:{1,3,5}:{(113,1),(114,1),(160,1),(165,1)}
       140:{2,3,5}:{(113,1),(115,1),(119,1),(165,1)}
       141:{1,2,4,6}:{(114,1),(115,1),(153,1),(165,1),(166,1),(194,1),(200,1)}
       142:{3,4,5,7}:{(116,1),(117,1),(154,1),(162,1),(167,1)}
       143:{2,4,5,6}:{(117,1),(119,1),(155,1),(164,1),(167,1)}
       144:{1,2,4,5}:{(118,1),(119,1),(120,1),(165,1),(168,1),(200,1)}
       145:{2,3,6}:{(120,1),(156,1),(168,1)}
       146:{2,3,5,6,7}:{(121,1),(123,1),(134,1),(170,1),(173,1),(201,1)}
       147:{2,4,6}:{(121,1),(122,1),(171,1)}
       148:{3,4,5,7}:{(122,1),(125,1),(136,1),(171,1),(172,1),(179,1),(201,1)}
       149:{1,2,4,6,7}:{(123,1),(124,1),(128,1),(137,1),(170,1),(173,1),(178,1),(203,1),(204,1)}
       150:{3,6}:{(124,1),(125,1)}
       151:{1,3,5,7}:{(125,1),(126,1),(139,1),(172,1),(174,1),(176,1)}
       152:{2,3,5,7}:{(125,1),(127,1),(130,1),(140,1),(175,1),(176,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(141,1),(176,1),(177,1)}
       154:{3,4,6,7}:{(128,1),(129,1),(132,1),(142,1),(173,1),(178,1)}
       155:{2,4,6}:{(129,1),(130,1),(133,1),(175,1)}
       156:{2,3,7}:{(131,1),(145,1)}
       157:{2,5,6,7}:{(132,1),(133,1),(178,1)}
       158:{2,4,7}:{(134,1),(135,1),(179,1)}
       159:{3,4,6}:{(135,1),(136,1),(138,1),(179,1),(180,1)}
       160:{1,4,5}:{(136,1),(139,1),(180,1)}
       161:{2,3,4,5}:{(136,1),(140,1),(181,1),(182,1),(187,1)}
       162:{3,5,7}:{(137,1),(138,1),(173,1),(179,1)}
       163:{1,3,5,6}:{(138,1),(139,1),(174,1),(180,1),(183,1),(185,1),(202,1),(206,1)}
       164:{2,3,5,6}:{(138,1),(140,1),(143,1),(175,1),(181,1),(184,1),(185,1)}
       165:{1,2,5}:{(139,1),(140,1),(141,1)}
       166:{1,2,3,6}:{(141,1),(145,1),(177,1),(186,1),(206,1)}
       167:{2,4,5,7}:{(142,1),(143,1),(178,1),(184,1)}
       168:{2,3,5}:{(144,1),(145,1),(187,1)}
       169:{2,4,5,6}:{(147,1),(188,1),(189,1)}
       170:{2,4,6,7}:{(146,1),(147,1),(158,1),(188,1),(190,1)}
       171:{3,4,6}:{(147,1),(148,1),(150,1),(189,1),(191,1)}
       172:{1,4,5,7}:{(148,1),(151,1),(160,1),(191,1),(195,1),(208,1)}
       173:{3,6,7}:{(149,1),(150,1),(162,1)}
       174:{1,3,6}:{(150,1),(151,1),(191,1),(194,1)}
       175:{2,3,6}:{(150,1),(152,1),(155,1),(194,1)}
       176:{1,2,5,7}:{(151,1),(152,1),(153,1),(165,1),(194,1)}
       177:{1,2,3,7}:{(153,1),(156,1),(166,1),(209,1)}
       178:{2,4,6,7}:{(154,1),(155,1),(157,1),(167,1),(193,1)}
       179:{3,4,7}:{(158,1),(159,1),(162,1),(195,1)}
       180:{1,4,6}:{(159,1),(160,1),(163,1),(195,1)}
       181:{2,3,4,6}:{(159,1),(161,1),(164,1),(196,1),(197,1)}
       182:{1,2,4,5}:{(160,1),(161,1),(165,1),(197,1),(198,1),(200,1)}
       183:{1,3,5,7}:{(162,1),(163,1),(192,1),(195,1),(199,1),(208,1),(209,1)}
       184:{2,3,5,7}:{(162,1),(164,1),(167,1),(193,1),(196,1),(199,1)}
       185:{1,2,5,6}:{(163,1),(164,1),(165,1),(194,1),(197,1),(199,1)}
       186:{1,2,3,5}:{(165,1),(166,1),(168,1),(198,1),(200,1)}
       187:{2,3,4}:{(168,1),(200,1)}
       188:{2,4,5,7}:{(169,1),(170,1),(201,1)}
       189:{3,5,6}:{(169,1),(171,1),(201,1),(202,1)}
       190:{3,4,6,7}:{(170,1),(171,1),(173,1),(179,1),(201,1),(203,1)}
       191:{1,4,6}:{(171,1),(172,1),(174,1),(202,1)}
       192:{1,3,6,7}:{(173,1),(174,1),(183,1),(203,1),(204,1)}
       193:{2,3,6,7}:{(173,1),(175,1),(178,1),(184,1),(204,1)}
       194:{1,2,6}:{(174,1),(175,1),(176,1)}
       195:{1,4,7}:{(179,1),(180,1),(183,1)}
       196:{2,3,4,7}:{(179,1),(181,1),(184,1),(205,1)}
       197:{1,2,4,6}:{(180,1),(181,1),(182,1),(185,1),(205,1),(206,1)}
       198:{1,3,5}:{(182,1),(206,1),(207,1)}
       199:{1,2,5,7}:{(183,1),(184,1),(185,1),(204,1),(205,1)}
       200:{1,2,4}:{(186,1),(187,1),(207,1)}
       201:{3,5,7}:{(188,1),(189,1),(190,1),(208,1)}
       202:{1,5,6}:{(189,1),(191,1),(208,1)}
       203:{1,4,6,7}:{(190,1),(191,1),(192,1),(195,1),(208,1)}
       204:{1,2,6,7}:{(192,1),(193,1),(194,1),(199,1)}
       205:{1,2,4,7}:{(195,1),(196,1),(197,1),(199,1),(209,1)}
       206:{1,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,3,4}:{(198,1),(200,1)}
       208:{1,5,7}:{(201,1),(202,1),(203,1)}
       209:{1,3,7}:{(205,1),(206,1)}

1509 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(19,1),(20,1),(21,1),(44,1),(76,1),(95,1),(96,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(114,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(16,1),(20,1),(124,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(14,1),(76,1),(100,1),(122,1)}
         4:{1,2,4,5,6}:{(2,1),(10,1),(26,1),(27,1),(31,1)}
         5:{3,5,7}:{(2,1),(3,1),(10,1),(132,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(59,1),(60,1),(88,1),(89,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(59,1),(60,1),(90,1),(91,1),(114,1)}
         8:{3,4,5,7}:{(5,1),(14,1),(15,1),(16,1),(43,1),(100,1),(101,1)}
         9:{1,2,4,5,6,7}:{(4,1),(17,1),(40,1),(41,1),(44,1),(67,1),(109,1)}
        10:{3,5,6}:{(4,1),(5,1),(14,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(15,1),(18,1),(20,1),(43,1),(105,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(16,1),(19,1),(20,1),(43,1),(107,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(42,1),(46,1),(103,1)}
        14:{3,4,6}:{(8,1),(10,1),(26,1),(27,1),(59,1)}
        15:{1,4,5,7}:{(8,1),(11,1),(26,1),(112,1),(113,1)}
        16:{2,4,5,7}:{(8,1),(12,1),(27,1),(114,1),(115,1)}
        17:{3,5,6,7}:{(9,1),(10,1),(25,1),(84,1),(121,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(26,1),(31,1),(59,1)}
        19:{2,3,5,6}:{(10,1),(12,1),(27,1),(31,1),(59,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(31,1),(118,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(59,1),(86,1),(88,1),(90,1)}
        22:{3,4,5,6}:{(14,1),(33,1),(34,1),(35,1),(68,1),(101,1),(127,1)}
        23:{2,3,4,5,7}:{(16,1),(36,1),(37,1),(43,1),(63,1),(75,1),(100,1),(101,1),(107,1),(126,1),(137,1)}
        24:{1,3,4,5,7}:{(15,1),(38,1),(39,1),(43,1),(65,1),(72,1),(100,1),(101,1),(105,1),(125,1),(137,1)}
        25:{3,4,6,7}:{(14,1),(17,1),(33,1),(40,1),(41,1),(76,1),(100,1),(127,1)}
        26:{1,4,6}:{(14,1),(15,1),(18,1)}
        27:{2,4,6}:{(14,1),(16,1),(19,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(20,1),(42,1),(43,1),(46,1),(79,1)}
        29:{1,3,5,6,7}:{(17,1),(18,1),(40,1),(44,1),(65,1),(76,1),(96,1),(129,1)}
        30:{2,3,5,6,7}:{(17,1),(19,1),(41,1),(44,1),(63,1),(76,1),(98,1),(130,1)}
        31:{1,2,5,6}:{(18,1),(19,1),(20,1),(42,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(46,1),(96,1),(98,1)}
        33:{3,4,5,7}:{(22,1),(25,1),(49,1),(50,1),(84,1)}
        34:{1,4,5,6}:{(22,1),(26,1),(48,1),(49,1),(113,1),(134,1)}
        35:{2,4,5,6}:{(22,1),(27,1),(47,1),(50,1),(115,1),(135,1)}
        36:{2,3,4,6}:{(23,1),(27,1),(47,1),(53,1),(59,1),(85,1),(135,1),(139,1)}
        37:{1,2,4,5,7}:{(23,1),(53,1),(54,1),(80,1),(87,1),(112,1),(113,1),(118,1)}
        38:{1,3,4,6}:{(24,1),(26,1),(48,1),(56,1),(59,1),(85,1),(134,1),(139,1)}
        39:{1,2,4,5,7}:{(24,1),(56,1),(57,1),(82,1),(87,1),(114,1),(115,1),(118,1)}
        40:{1,4,6,7}:{(25,1),(26,1),(29,1),(49,1),(112,1),(134,1)}
        41:{2,4,6,7}:{(25,1),(27,1),(30,1),(50,1),(114,1),(135,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(59,1)}
        43:{3,5,7}:{(28,1),(59,1),(60,1),(93,1)}
        44:{1,2,5,6,7}:{(29,1),(30,1),(31,1),(58,1),(80,1),(82,1),(136,1)}
        45:{1,2,3,5,6}:{(31,1),(32,1),(59,1),(62,1),(81,1),(83,1),(86,1),(93,1),(118,1)}
        46:{1,2,4,7}:{(32,1),(60,1),(62,1),(112,1),(114,1)}
        47:{2,3,5,6}:{(35,1),(36,1),(63,1),(64,1),(68,1),(107,1)}
        48:{1,3,5,6}:{(34,1),(38,1),(65,1),(66,1),(68,1),(105,1)}
        49:{1,4,5,7}:{(33,1),(34,1),(40,1),(65,1)}
        50:{2,4,5,7}:{(33,1),(35,1),(41,1),(63,1)}
        51:{1,2,4,5,6}:{(34,1),(35,1),(42,1),(64,1),(66,1),(67,1),(68,1),(79,1),(97,1),(99,1),(124,1),(138,1)}
        52:{2,3,4,6,7}:{(36,1),(41,1),(63,1),(70,1),(76,1),(100,1)}
        53:{1,2,4,6}:{(36,1),(37,1),(64,1),(71,1),(97,1)}
        54:{1,3,5,7}:{(37,1),(43,1),(71,1),(72,1),(105,1),(137,1)}
        55:{1,3,4,6,7}:{(38,1),(40,1),(65,1),(73,1),(76,1),(100,1)}
        56:{1,2,4,6}:{(38,1),(39,1),(66,1),(74,1),(99,1)}
        57:{2,3,5,7}:{(39,1),(43,1),(74,1),(75,1),(107,1),(137,1)}
        58:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(44,1),(67,1),(76,1),(138,1)}
        59:{3,6}:{(42,1),(43,1)}
        60:{3,4,7}:{(43,1),(46,1),(77,1)}
        61:{1,2,3,5,6,7}:{(44,1),(45,1),(76,1),(78,1),(96,1),(98,1),(102,1),(108,1),(128,1),(129,1),(130,1)}
        62:{1,2,4,6}:{(45,1),(46,1),(77,1),(79,1),(97,1),(99,1)}
        63:{2,3,5,7}:{(47,1),(50,1),(52,1),(80,1),(84,1)}
        64:{1,2,5,6}:{(47,1),(53,1),(80,1),(81,1),(118,1)}
        65:{1,3,5,7}:{(48,1),(49,1),(55,1),(82,1),(84,1)}
        66:{1,2,5,6}:{(48,1),(56,1),(82,1),(83,1),(118,1)}
        67:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(58,1),(80,1),(82,1),(84,1),(112,1),(114,1)}
        68:{3,5,6}:{(51,1),(59,1),(84,1),(85,1),(93,1),(132,1),(139,1)}
        69:{1,2,3,5,7}:{(54,1),(57,1),(86,1),(87,1),(118,1)}
        70:{1,2,4,6,7}:{(52,1),(53,1),(80,1),(88,1),(112,1)}
        71:{1,3,6}:{(53,1),(54,1),(59,1),(139,1)}
        72:{1,3,4,7}:{(54,1),(60,1),(87,1),(89,1),(112,1),(131,1)}
        73:{1,2,4,6,7}:{(55,1),(56,1),(82,1),(90,1),(114,1)}
        74:{2,3,6}:{(56,1),(57,1),(59,1),(139,1)}
        75:{2,3,4,7}:{(57,1),(60,1),(87,1),(91,1),(114,1),(131,1)}
        76:{3,6,7}:{(58,1),(59,1),(84,1),(139,1)}
        77:{3,4,6}:{(59,1),(60,1),(62,1),(93,1)}
        78:{1,2,4,6,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(114,1),(134,1),(135,1)}
        79:{1,2,4,5}:{(62,1),(93,1),(113,1),(115,1),(118,1)}
        80:{1,2,5,7}:{(63,1),(64,1),(70,1),(96,1)}
        81:{1,3,5,6}:{(64,1),(68,1),(71,1),(96,1),(97,1),(105,1)}
        82:{1,2,5,7}:{(65,1),(66,1),(73,1),(98,1)}
        83:{2,3,5,6}:{(66,1),(68,1),(74,1),(98,1),(99,1),(107,1)}
        84:{3,5,7}:{(67,1),(68,1),(76,1),(100,1)}
        85:{3,4,6}:{(68,1),(97,1),(99,1),(100,1),(101,1)}
        86:{1,2,3,6}:{(69,1),(71,1),(74,1),(103,1)}
        87:{1,2,4,7}:{(69,1),(72,1),(75,1),(103,1)}
        88:{1,3,6,7}:{(70,1),(71,1),(76,1),(96,1)}
        89:{1,3,4,6}:{(71,1),(72,1),(77,1),(97,1),(103,1),(105,1),(122,1)}
        90:{2,3,6,7}:{(73,1),(74,1),(76,1),(98,1)}
        91:{2,3,4,6}:{(74,1),(75,1),(77,1),(99,1),(103,1),(107,1),(122,1)}
        92:{3,4,6,7}:{(76,1),(77,1),(78,1),(100,1),(108,1),(127,1)}
        93:{3,5}:{(77,1),(79,1)}
        94:{1,2,4,5,7}:{(78,1),(79,1),(108,1),(109,1),(125,1),(126,1),(128,1)}
        95:{1,2,3,5,6}:{(81,1),(83,1),(86,1),(110,1),(111,1),(118,1),(132,1),(136,1),(139,1)}
        96:{1,3,5,7}:{(80,1),(81,1),(84,1),(88,1),(112,1)}
        97:{1,4,6}:{(81,1),(85,1),(112,1),(113,1)}
        98:{2,3,5,7}:{(82,1),(83,1),(84,1),(90,1),(114,1)}
        99:{2,4,6}:{(83,1),(85,1),(114,1),(115,1)}
       100:{3,4,7}:{(84,1),(85,1),(112,1),(114,1)}
       101:{3,4,5}:{(85,1),(93,1),(113,1),(115,1),(132,1)}
       102:{1,2,3,6,7}:{(86,1),(88,1),(90,1),(110,1),(117,1),(139,1)}
       103:{1,2,4,6}:{(86,1),(87,1),(89,1),(91,1),(118,1)}
       104:{1,3,4,6,7}:{(88,1),(89,1),(92,1),(112,1),(117,1),(119,1),(131,1),(134,1),(139,1)}
       105:{1,3,5}:{(89,1),(93,1),(113,1),(118,1),(132,1)}
       106:{2,3,4,6,7}:{(90,1),(91,1),(92,1),(114,1),(117,1),(120,1),(131,1),(135,1),(139,1)}
       107:{2,3,5}:{(91,1),(93,1),(115,1),(118,1),(132,1)}
       108:{3,5,7}:{(92,1),(93,1),(94,1),(121,1)}
       109:{1,2,4,5,6}:{(94,1),(121,1),(134,1),(135,1),(136,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(102,1),(123,1),(128,1),(137,1)}
       111:{1,2,4,6}:{(95,1),(97,1),(99,1),(122,1),(123,1),(124,1)}
       112:{1,4,7}:{(96,1),(97,1),(100,1)}
       113:{1,4,5}:{(97,1),(101,1),(105,1)}
       114:{2,4,7}:{(98,1),(99,1),(100,1)}
       115:{2,4,5}:{(99,1),(101,1),(107,1)}
       116:{3,4,5,7}:{(100,1),(101,1),(108,1),(125,1),(126,1),(127,1),(137,1)}
       117:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(106,1),(123,1),(128,1),(138,1)}
       118:{1,2,5}:{(103,1),(105,1),(107,1)}
       119:{1,3,5,7}:{(104,1),(105,1),(108,1),(125,1),(128,1),(129,1),(137,1)}
       120:{2,3,5,7}:{(106,1),(107,1),(108,1),(126,1),(128,1),(130,1),(137,1)}
       121:{3,5,6}:{(108,1),(109,1),(127,1)}
       122:{3,4,6}:{(111,1),(131,1),(132,1),(139,1)}
       123:{1,2,4,7}:{(110,1),(111,1),(112,1),(114,1),(131,1)}
       124:{1,2,4,5}:{(111,1),(113,1),(115,1),(118,1),(132,1)}
       125:{1,4,5,7}:{(112,1),(113,1),(116,1),(119,1),(134,1)}
       126:{2,4,5,7}:{(114,1),(115,1),(116,1),(120,1),(135,1)}
       127:{3,4,6}:{(116,1),(121,1),(134,1),(135,1),(139,1)}
       128:{1,2,5,7}:{(117,1),(118,1),(119,1),(120,1),(136,1)}
       129:{1,3,5,6}:{(119,1),(121,1),(134,1),(136,1),(139,1)}
       130:{2,3,5,6}:{(120,1),(121,1),(135,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(137,1)}
       132:{3,5}:{(122,1),(124,1)}
       133:{1,2,4,5,7}:{(123,1),(124,1),(125,1),(126,1),(128,1),(137,1),(138,1)}
       134:{1,4,6}:{(125,1),(127,1),(129,1)}
       135:{2,4,6}:{(126,1),(127,1),(130,1)}
       136:{1,2,5,6}:{(128,1),(129,1),(130,1),(138,1)}
       137:{3,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       138:{1,2,4,6}:{(133,1),(134,1),(135,1),(136,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1510 :   0:{1,2,3,6,7}:{(2,1),(3,1),(40,1),(77,1),(78,1),(79,1),(80,1),(104,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(38,1),(40,1),(46,1),(79,1),(96,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(7,1),(8,1),(24,1),(57,1),(65,1),(84,1),(93,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(25,1),(61,1),(62,1),(89,1),(90,1),(92,1)}
         4:{2,3,5,7}:{(1,1),(7,1),(9,1),(10,1),(25,1),(56,1),(63,1)}
         5:{1,3,4,6,7}:{(2,1),(11,1),(15,1),(33,1),(37,1),(40,1),(68,1),(78,1),(95,1),(104,1)}
         6:{1,2,3,5,6}:{(3,1),(12,1),(13,1),(36,1),(40,1),(74,1),(75,1),(76,1),(77,1),(80,1)}
         7:{1,2,5,7}:{(2,1),(4,1),(11,1),(13,1),(76,1),(81,1),(94,1)}
         8:{1,2,4,7}:{(3,1),(12,1),(15,1),(95,1),(96,1),(100,1)}
         9:{2,3,5,6}:{(4,1),(13,1),(17,1),(40,1),(45,1)}
        10:{2,4,5,7}:{(4,1),(17,1),(18,1),(72,1),(96,1)}
        11:{1,3,5,7}:{(5,1),(7,1),(19,1),(20,1),(25,1),(55,1),(82,1)}
        12:{1,2,4,6}:{(6,1),(8,1),(21,1),(22,1),(86,1),(87,1)}
        13:{1,2,5,6}:{(7,1),(9,1),(19,1),(24,1),(64,1),(83,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(10,1),(20,1),(21,1),(24,1),(25,1),(31,1),(51,1),(61,1),(88,1),(101,1)}
        15:{3,4,7}:{(8,1),(22,1),(25,1),(103,1)}
        16:{2,3,5,6,7}:{(9,1),(23,1),(29,1),(58,1),(63,1),(90,1)}
        17:{2,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(25,1),(30,1),(31,1),(52,1),(63,1),(85,1)}
        19:{1,3,5,6}:{(11,1),(13,1),(33,1),(40,1),(67,1)}
        20:{1,4,5,7}:{(11,1),(33,1),(34,1),(71,1),(95,1)}
        21:{1,2,4,5}:{(12,1),(36,1),(71,1),(72,1),(76,1)}
        22:{3,4,6}:{(12,1),(15,1),(36,1),(40,1)}
        23:{1,2,5,6,7}:{(13,1),(16,1),(32,1),(39,1),(81,1),(94,1),(99,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(17,1),(33,1),(40,1),(47,1),(69,1),(80,1)}
        25:{3,5,7}:{(14,1),(15,1),(36,1),(40,1),(98,1),(104,1)}
        26:{1,3,4,7}:{(15,1),(37,1),(41,1),(43,1),(95,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(38,1),(42,1),(43,1),(96,1),(104,1)}
        28:{2,4,5,6}:{(17,1),(44,1),(45,1)}
        29:{2,4,6,7}:{(16,1),(17,1),(44,1),(46,1),(96,1)}
        30:{3,4,6}:{(17,1),(18,1),(40,1),(45,1),(47,1)}
        31:{1,4,5,7}:{(18,1),(41,1),(47,1),(71,1),(81,1),(95,1)}
        32:{1,3,5,6,7}:{(19,1),(23,1),(49,1),(58,1),(82,1),(89,1)}
        33:{1,4,6}:{(19,1),(20,1),(50,1)}
        34:{3,4,5,7}:{(20,1),(25,1),(50,1),(51,1),(52,1),(82,1),(85,1)}
        35:{1,2,4,5,6}:{(21,1),(24,1),(28,1),(48,1),(53,1),(54,1),(64,1),(83,1),(86,1),(87,1),(91,1)}
        36:{3,5}:{(21,1),(22,1)}
        37:{1,3,4,6}:{(22,1),(26,1),(55,1),(57,1),(59,1),(86,1),(102,1),(103,1)}
        38:{2,3,4,6}:{(22,1),(27,1),(56,1),(57,1),(60,1),(87,1),(102,1),(103,1)}
        39:{1,2,4,6,7}:{(23,1),(24,1),(29,1),(49,1),(53,1),(58,1),(65,1),(84,1),(93,1),(101,1)}
        40:{3,6}:{(24,1),(25,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(31,1),(55,1),(59,1),(61,1)}
        42:{2,3,5,7}:{(25,1),(27,1),(51,1),(56,1),(60,1),(61,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(57,1),(61,1),(62,1)}
        44:{2,4,5,7}:{(28,1),(29,1),(63,1)}
        45:{3,5,6}:{(28,1),(30,1),(63,1),(64,1)}
        46:{3,4,6,7}:{(29,1),(30,1),(58,1),(63,1),(65,1),(85,1)}
        47:{1,4,6}:{(30,1),(31,1),(59,1),(64,1)}
        48:{1,4,5,6}:{(33,1),(66,1),(67,1)}
        49:{1,4,6,7}:{(32,1),(33,1),(66,1),(68,1),(95,1)}
        50:{3,4,6}:{(33,1),(34,1),(40,1),(67,1),(69,1)}
        51:{2,4,5,7}:{(34,1),(42,1),(69,1),(72,1),(94,1),(96,1)}
        52:{3,4,5}:{(36,1),(70,1),(71,1),(72,1),(98,1)}
        53:{1,2,4,5,7}:{(35,1),(39,1),(44,1),(66,1),(73,1),(81,1),(94,1),(95,1),(96,1),(99,1)}
        54:{3,5,6}:{(35,1),(36,1),(40,1),(70,1),(73,1)}
        55:{1,3,5}:{(36,1),(37,1),(71,1),(76,1),(98,1)}
        56:{2,3,5}:{(36,1),(38,1),(72,1),(76,1),(98,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(43,1),(76,1),(77,1),(80,1),(100,1)}
        58:{3,6,7}:{(39,1),(40,1),(73,1),(104,1)}
        59:{1,3,6}:{(40,1),(41,1),(47,1),(80,1)}
        60:{2,3,6}:{(40,1),(42,1),(69,1),(80,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(43,1),(76,1),(80,1)}
        62:{1,2,3,7}:{(43,1),(77,1),(104,1)}
        63:{3,5,7}:{(44,1),(45,1),(46,1),(81,1)}
        64:{1,5,6}:{(45,1),(47,1),(81,1)}
        65:{1,4,6,7}:{(46,1),(47,1),(78,1),(81,1),(95,1)}
        66:{1,4,5,7}:{(48,1),(49,1),(82,1)}
        67:{3,5,6}:{(48,1),(50,1),(82,1),(83,1)}
        68:{3,4,6,7}:{(49,1),(50,1),(58,1),(82,1),(84,1),(85,1)}
        69:{2,4,6}:{(50,1),(51,1),(60,1),(83,1)}
        70:{3,4,6}:{(52,1),(54,1),(85,1),(86,1),(87,1),(102,1)}
        71:{1,4,5}:{(52,1),(55,1),(86,1)}
        72:{2,4,5}:{(52,1),(56,1),(87,1)}
        73:{3,5,7}:{(53,1),(54,1),(58,1),(85,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(59,1),(64,1),(86,1),(89,1),(91,1),(102,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(60,1),(83,1),(87,1),(90,1),(91,1),(102,1)}
        76:{1,2,5}:{(55,1),(56,1),(57,1)}
        77:{1,2,3,6}:{(57,1),(62,1),(92,1),(102,1)}
        78:{1,3,6,7}:{(58,1),(59,1),(65,1),(89,1),(93,1)}
        79:{2,3,6,7}:{(58,1),(60,1),(84,1),(90,1),(93,1)}
        80:{1,2,6}:{(59,1),(60,1),(61,1)}
        81:{1,5,7}:{(63,1),(64,1),(65,1)}
        82:{3,5,7}:{(66,1),(67,1),(68,1),(94,1)}
        83:{2,5,6}:{(67,1),(69,1),(94,1)}
        84:{2,4,6,7}:{(68,1),(69,1),(79,1),(94,1),(96,1)}
        85:{3,4,7}:{(70,1),(73,1),(95,1),(96,1),(104,1)}
        86:{1,4,6}:{(70,1),(71,1),(74,1),(95,1)}
        87:{2,4,6}:{(70,1),(72,1),(75,1),(96,1)}
        88:{1,2,4,5}:{(71,1),(72,1),(76,1),(97,1),(98,1),(100,1)}
        89:{1,3,5,7}:{(73,1),(74,1),(78,1),(81,1),(95,1),(99,1),(104,1)}
        90:{2,3,5,7}:{(73,1),(75,1),(79,1),(94,1),(96,1),(99,1),(104,1)}
        91:{1,2,5,6}:{(74,1),(75,1),(76,1),(80,1),(97,1),(99,1)}
        92:{1,2,3,5}:{(76,1),(77,1),(98,1),(100,1)}
        93:{1,2,6,7}:{(78,1),(79,1),(80,1),(99,1)}
        94:{2,5,7}:{(82,1),(83,1),(84,1)}
        95:{1,4,7}:{(85,1),(86,1),(89,1)}
        96:{2,4,7}:{(85,1),(87,1),(90,1)}
        97:{1,2,4,6}:{(86,1),(87,1),(88,1),(91,1),(101,1),(102,1)}
        98:{3,5}:{(88,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(89,1),(90,1),(91,1),(93,1),(101,1)}
       100:{1,2,4}:{(92,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1511 :   0:{2,3,4,6,7}:{(1,1),(2,1),(9,1),(27,1),(29,1),(31,1),(56,1),(59,1),(78,1),(81,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(40,1),(73,1),(94,1),(98,1)}
         2:{2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(75,1),(93,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(9,1),(24,1),(29,1)}
         4:{1,3,6,7}:{(1,1),(10,1),(29,1),(109,1),(113,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(108,1)}
         6:{2,4,5,7}:{(2,1),(9,1),(12,1),(81,1),(84,1)}
         7:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(35,1),(39,1),(64,1),(125,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(37,1),(75,1)}
         9:{2,4,6}:{(3,1),(6,1),(18,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(121,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(46,1),(47,1),(75,1),(98,1),(99,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(65,1)}
        13:{2,4,5,6}:{(9,1),(22,1),(24,1)}
        14:{1,2,5,6,7}:{(7,1),(8,1),(25,1),(26,1),(49,1),(82,1),(88,1),(115,1)}
        15:{2,4,6,7}:{(7,1),(9,1),(22,1),(27,1),(81,1),(132,1)}
        16:{1,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(59,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(24,1),(29,1),(30,1)}
        19:{1,4,7}:{(10,1),(28,1),(31,1),(129,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(113,1),(114,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(32,1),(49,1),(80,1),(83,1)}
        22:{2,4,5,7}:{(13,1),(15,1),(35,1),(136,1)}
        23:{1,2,4,5,6}:{(13,1),(17,1),(34,1),(36,1),(37,1),(41,1),(66,1),(67,1),(68,1),(69,1),(75,1),(99,1),(102,1),(122,1),(136,1),(139,1)}
        24:{3,5,6}:{(13,1),(18,1),(35,1),(37,1)}
        25:{1,3,5,6,7}:{(14,1),(16,1),(38,1),(39,1),(63,1),(70,1),(101,1)}
        26:{1,2,4,6,7}:{(14,1),(15,1),(17,1),(34,1),(38,1),(39,1),(40,1),(72,1),(73,1),(98,1),(122,1)}
        27:{3,4,6,7}:{(15,1),(18,1),(35,1),(39,1),(40,1),(62,1),(135,1)}
        28:{1,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{1,4,6}:{(18,1),(21,1),(37,1),(43,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(46,1),(124,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(47,1),(74,1)}
        33:{2,3,5,7}:{(20,1),(44,1),(46,1),(47,1),(75,1),(77,1),(105,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(26,1),(48,1),(49,1),(53,1),(80,1),(81,1),(82,1),(88,1)}
        35:{3,5,7}:{(22,1),(24,1),(27,1),(49,1),(138,1)}
        36:{3,5,6}:{(23,1),(29,1),(48,1),(50,1),(57,1),(114,1),(130,1),(138,1)}
        37:{1,5,6}:{(24,1),(30,1),(49,1)}
        38:{1,4,6,7}:{(25,1),(28,1),(53,1),(54,1),(80,1),(110,1)}
        39:{3,6,7}:{(26,1),(29,1),(48,1),(113,1),(130,1)}
        40:{1,4,6,7}:{(27,1),(30,1),(49,1),(55,1),(80,1),(137,1)}
        41:{1,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(59,1)}
        43:{1,3,6}:{(29,1),(30,1),(32,1),(60,1)}
        44:{2,3,6}:{(29,1),(33,1),(59,1),(60,1)}
        45:{1,3,4,7}:{(31,1),(32,1),(58,1),(61,1),(80,1),(113,1)}
        46:{2,4,7}:{(31,1),(33,1),(59,1),(117,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(36,1),(39,1),(62,1)}
        49:{1,5,7}:{(35,1),(37,1),(40,1),(139,1)}
        50:{3,4,6}:{(36,1),(62,1),(65,1),(66,1),(67,1),(100,1),(124,1)}
        51:{1,3,5,6}:{(36,1),(37,1),(43,1),(63,1),(66,1),(68,1),(74,1),(100,1),(121,1),(133,1),(139,1)}
        52:{2,3,5,6}:{(36,1),(44,1),(64,1),(67,1),(68,1),(75,1),(93,1),(100,1),(102,1),(105,1),(118,1)}
        53:{1,4,5,7}:{(38,1),(41,1),(69,1),(70,1)}
        54:{3,4,6,7}:{(38,1),(39,1),(42,1),(62,1),(70,1),(72,1),(95,1)}
        55:{1,3,6,7}:{(39,1),(40,1),(43,1),(63,1),(73,1),(133,1)}
        56:{2,3,6,7}:{(39,1),(44,1),(64,1),(72,1),(73,1),(118,1)}
        57:{3,5}:{(41,1),(42,1),(75,1)}
        58:{1,3,4,6}:{(42,1),(43,1),(45,1),(66,1),(74,1),(76,1),(100,1),(124,1)}
        59:{2,4,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(50,1),(80,1),(81,1),(113,1)}
        63:{1,3,5,7}:{(48,1),(49,1),(51,1),(55,1),(80,1),(82,1),(113,1)}
        64:{2,3,5,7}:{(48,1),(52,1),(56,1),(81,1),(82,1),(88,1),(113,1)}
        65:{3,4,5}:{(50,1),(57,1),(83,1),(84,1),(114,1),(138,1)}
        66:{1,4,6}:{(50,1),(51,1),(80,1),(83,1),(129,1)}
        67:{2,4,6}:{(50,1),(52,1),(81,1),(84,1),(117,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(60,1),(82,1),(85,1),(90,1),(108,1),(127,1)}
        69:{1,4,5,6}:{(53,1),(86,1),(110,1)}
        70:{3,5,7}:{(53,1),(54,1),(57,1),(86,1),(88,1)}
        71:{1,3,4,6,7}:{(54,1),(55,1),(58,1),(80,1),(87,1),(89,1),(110,1),(113,1),(130,1),(131,1),(137,1)}
        72:{2,4,6,7}:{(54,1),(56,1),(59,1),(81,1),(88,1),(111,1)}
        73:{1,2,6,7}:{(55,1),(56,1),(60,1),(82,1),(127,1)}
        74:{1,3,5}:{(57,1),(58,1),(83,1),(90,1),(114,1)}
        75:{2,5}:{(57,1),(59,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{2,3,7}:{(61,1),(91,1),(113,1)}
        78:{2,3,4,6}:{(67,1),(92,1),(93,1),(94,1),(100,1),(118,1),(124,1),(135,1)}
        79:{3,4,5,7}:{(62,1),(65,1),(70,1),(95,1),(96,1),(97,1),(123,1)}
        80:{1,4,7}:{(62,1),(63,1),(66,1)}
        81:{2,4,7}:{(62,1),(64,1),(67,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(68,1),(73,1),(98,1)}
        83:{1,4,5}:{(65,1),(66,1),(74,1),(139,1)}
        84:{2,4,5}:{(65,1),(67,1),(75,1),(93,1)}
        85:{1,2,4,6}:{(66,1),(67,1),(68,1),(98,1),(99,1),(100,1)}
        86:{3,5,6}:{(69,1),(70,1),(95,1),(102,1)}
        87:{1,3,5,7}:{(70,1),(71,1),(74,1),(96,1),(101,1),(103,1),(123,1),(139,1)}
        88:{2,5,7}:{(70,1),(72,1),(75,1),(102,1)}
        89:{1,2,4,6,7}:{(71,1),(72,1),(73,1),(76,1),(98,1),(103,1),(104,1),(122,1),(126,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{2,3,6}:{(76,1),(77,1),(100,1),(105,1)}
        92:{2,3,4,7}:{(78,1),(81,1),(106,1),(107,1),(113,1),(131,1)}
        93:{2,3,5}:{(78,1),(84,1),(108,1),(114,1),(138,1)}
        94:{1,2,4,6}:{(78,1),(107,1),(108,1),(109,1),(127,1),(129,1),(137,1)}
        95:{3,4,6}:{(79,1),(86,1),(110,1),(111,1),(130,1)}
        96:{1,4,5,7}:{(79,1),(80,1),(83,1),(87,1),(110,1)}
        97:{2,4,5,7}:{(79,1),(81,1),(84,1),(88,1),(106,1),(111,1)}
        98:{1,2,4,7}:{(80,1),(81,1),(82,1),(85,1),(113,1)}
        99:{1,2,4,5}:{(83,1),(84,1),(85,1),(90,1),(108,1),(114,1),(117,1),(129,1)}
       100:{3,6}:{(85,1),(113,1),(114,1)}
       101:{1,3,5,6}:{(86,1),(87,1),(110,1),(115,1),(130,1)}
       102:{2,5,6}:{(86,1),(88,1),(111,1)}
       103:{1,2,5,7}:{(87,1),(88,1),(89,1),(90,1),(115,1),(116,1)}
       104:{2,3,6,7}:{(89,1),(91,1),(113,1),(116,1),(130,1)}
       105:{2,3,5}:{(90,1),(91,1),(114,1),(117,1)}
       106:{2,3,5,7}:{(92,1),(93,1),(97,1),(118,1),(119,1),(123,1)}
       107:{1,2,4,7}:{(92,1),(94,1),(119,1),(120,1),(134,1)}
       108:{1,2,5}:{(93,1),(94,1),(121,1),(139,1)}
       109:{1,3,6}:{(94,1),(100,1),(120,1),(121,1)}
       110:{1,4,6}:{(95,1),(96,1),(101,1)}
       111:{2,4,6}:{(95,1),(97,1),(102,1),(118,1)}
       112:{1,2,4,5,7}:{(96,1),(97,1),(98,1),(99,1),(103,1),(119,1),(122,1),(123,1),(126,1),(134,1),(136,1),(139,1)}
       113:{3,7}:{(98,1),(100,1)}
       114:{3,5}:{(99,1),(100,1),(124,1)}
       115:{1,2,5,6}:{(101,1),(102,1),(103,1),(122,1),(125,1),(139,1)}
       116:{2,3,5,7}:{(103,1),(104,1),(105,1),(123,1),(125,1),(126,1)}
       117:{2,4}:{(105,1),(124,1)}
       118:{2,3,6}:{(106,1),(111,1),(127,1),(130,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(108,1),(127,1),(128,1)}
       120:{1,3,7}:{(107,1),(109,1),(113,1)}
       121:{1,3,5}:{(108,1),(109,1),(114,1),(129,1)}
       122:{1,2,4,6}:{(110,1),(111,1),(112,1),(115,1),(127,1),(130,1),(132,1),(137,1)}
       123:{3,5,7}:{(112,1),(113,1),(114,1),(130,1),(131,1),(138,1)}
       124:{3,4}:{(114,1),(117,1),(129,1)}
       125:{2,3,5,6}:{(115,1),(116,1),(130,1),(132,1),(138,1)}
       126:{2,4,7}:{(116,1),(117,1),(131,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{1,3,5,7}:{(119,1),(120,1),(121,1),(123,1),(133,1),(134,1),(139,1)}
       129:{1,4}:{(121,1),(124,1)}
       130:{3,6}:{(122,1),(123,1)}
       131:{3,4,7}:{(123,1),(124,1),(126,1),(134,1),(135,1)}
       132:{2,4,6}:{(125,1),(126,1),(135,1),(136,1)}
       133:{1,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{1,4,7}:{(128,1),(129,1),(131,1),(137,1)}
       135:{3,4,6}:{(130,1),(131,1),(132,1),(137,1),(138,1)}
       136:{2,4,5}:{(132,1),(138,1)}
       137:{1,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

1512 :   0:{1,2,3,6}:{(3,1),(5,1),(6,1),(81,1),(88,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(31,1),(36,1),(45,1),(86,1),(88,1)}
         2:{2,4,5,6}:{(9,1),(10,1),(36,1),(92,1),(96,1)}
         3:{1,2,3,5}:{(0,1),(11,1),(14,1),(21,1),(53,1),(58,1)}
         4:{3,4,5}:{(15,1),(16,1),(18,1),(58,1)}
         5:{1,2,3,7}:{(0,1),(20,1),(112,1),(120,1),(163,1)}
         6:{1,2,4,6}:{(0,1),(1,1),(14,1),(19,1),(20,1),(21,1),(71,1)}
         7:{2,3,4,7}:{(1,1),(20,1),(22,1),(57,1),(63,1),(120,1),(164,1)}
         8:{2,3,5}:{(1,1),(15,1),(21,1),(58,1),(118,1)}
         9:{3,5,6}:{(2,1),(18,1),(24,1),(25,1)}
        10:{2,4,5,7}:{(2,1),(25,1),(26,1),(63,1),(123,1),(126,1)}
        11:{1,2,3}:{(28,1)}
        12:{1,3,4}:{(28,1),(30,1),(31,1)}
        13:{1,2,3,5,7}:{(3,1),(5,1),(27,1),(32,1),(33,1),(43,1),(78,1),(80,1),(87,1),(89,1)}
        14:{1,2,4}:{(3,1),(31,1)}
        15:{2,4,5}:{(4,1),(8,1),(36,1),(147,1)}
        16:{1,4,5}:{(4,1),(30,1),(38,1)}
        17:{3,4,5,7}:{(4,1),(35,1),(37,1),(39,1),(40,1),(87,1),(97,1),(141,1),(147,1),(194,1),(198,1)}
        18:{3,4,6}:{(4,1),(9,1),(36,1),(38,1),(40,1),(88,1)}
        19:{1,3,4,6}:{(6,1),(31,1),(41,1),(42,1),(86,1),(88,1),(99,1),(100,1)}
        20:{1,2,4,7}:{(5,1),(6,1),(7,1),(41,1),(43,1),(188,1)}
        21:{1,2,5}:{(6,1),(8,1),(42,1)}
        22:{2,3,5,7}:{(7,1),(8,1),(35,1),(43,1),(45,1),(87,1),(189,1),(220,1)}
        23:{2,3,5,6}:{(8,1),(9,1),(36,1),(44,1),(45,1),(46,1),(88,1),(92,1),(148,1)}
        24:{1,5,6}:{(9,1),(38,1),(47,1)}
        25:{3,5,7}:{(9,1),(10,1),(40,1),(47,1),(48,1)}
        26:{2,4,6,7}:{(10,1),(48,1),(49,1),(104,1)}
        27:{1,2,3,7}:{(11,1),(51,1),(52,1),(210,1),(227,1)}
        28:{1,2,4}:{(11,1),(12,1),(50,1),(53,1)}
        29:{1,3,4,7}:{(12,1),(52,1),(54,1),(55,1),(57,1),(171,1),(210,1)}
        30:{1,3,5}:{(12,1),(16,1),(53,1),(56,1),(58,1)}
        31:{3,4}:{(14,1),(58,1)}
        32:{1,2,3,6}:{(13,1),(59,1),(71,1),(111,1),(119,1)}
        33:{1,2,4,7}:{(13,1),(14,1),(57,1),(59,1),(109,1)}
        34:{1,2,4,5}:{(14,1),(15,1),(16,1),(21,1),(53,1),(58,1),(61,1),(68,1),(105,1)}
        35:{2,4,5,7}:{(15,1),(17,1),(22,1),(62,1),(63,1),(123,1),(169,1),(211,1)}
        36:{2,4,6}:{(15,1),(18,1),(23,1),(63,1),(175,1)}
        37:{1,4,5,7}:{(16,1),(17,1),(55,1),(64,1),(65,1),(113,1),(125,1),(171,1)}
        38:{1,4,6}:{(16,1),(18,1),(24,1),(56,1),(65,1)}
        39:{3,4,6}:{(17,1),(62,1),(64,1),(66,1),(119,1),(175,1)}
        40:{3,4,7}:{(18,1),(25,1),(63,1),(65,1),(120,1)}
        41:{1,3,4,7}:{(19,1),(20,1),(57,1),(69,1),(120,1),(129,1),(165,1)}
        42:{1,3,5}:{(19,1),(21,1),(58,1),(68,1),(118,1)}
        43:{1,2,5,7}:{(20,1),(21,1),(22,1),(69,1),(71,1),(207,1),(227,1)}
        44:{1,2,5,6}:{(21,1),(23,1),(24,1),(61,1),(70,1),(71,1),(72,1),(157,1)}
        45:{2,3,6}:{(22,1),(62,1),(71,1),(119,1)}
        46:{2,3,5,7}:{(23,1),(25,1),(63,1),(72,1),(73,1),(120,1),(123,1),(176,1)}
        47:{1,5,7}:{(24,1),(25,1),(65,1),(74,1)}
        48:{3,6,7}:{(25,1),(26,1),(74,1)}
        49:{2,5,6,7}:{(26,1),(75,1),(123,1),(181,1)}
        50:{2,3,4}:{(28,1),(31,1),(77,1)}
        51:{1,2,3,6}:{(27,1),(78,1),(79,1),(191,1),(219,1)}
        52:{1,2,4,7}:{(27,1),(28,1),(29,1),(76,1),(79,1),(80,1)}
        53:{1,2,5}:{(28,1),(30,1),(77,1),(81,1)}
        54:{1,3,4,6}:{(29,1),(79,1),(82,1),(83,1),(86,1),(137,1),(142,1),(191,1)}
        55:{1,3,5,7}:{(29,1),(30,1),(37,1),(80,1),(82,1),(83,1),(84,1),(87,1)}
        56:{1,3,6}:{(30,1),(38,1),(81,1),(84,1),(88,1)}
        57:{3,4,7}:{(31,1),(33,1),(86,1),(87,1),(137,1),(198,1)}
        58:{3,5}:{(31,1),(34,1),(88,1)}
        59:{1,2,4,6}:{(32,1),(33,1),(86,1),(89,1)}
        60:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(37,1),(43,1),(80,1),(87,1),(89,1),(90,1),(91,1),(98,1),(132,1),(138,1),(147,1),(150,1),(192,1),(198,1)}
        61:{1,2,4,6}:{(34,1),(36,1),(38,1),(44,1),(81,1),(88,1),(91,1),(99,1),(133,1)}
        62:{2,4,6}:{(35,1),(39,1),(45,1),(92,1)}
        63:{2,4,7}:{(36,1),(40,1),(46,1),(198,1)}
        64:{1,4,6}:{(37,1),(39,1),(83,1),(94,1)}
        65:{1,4,7}:{(38,1),(40,1),(47,1),(84,1)}
        66:{3,5,6}:{(39,1),(92,1),(94,1),(96,1),(97,1)}
        67:{3,4,6,7}:{(39,1),(40,1),(48,1),(93,1),(95,1),(97,1),(104,1),(149,1),(156,1),(194,1),(198,1)}
        68:{1,4,5}:{(42,1),(85,1),(99,1),(147,1)}
        69:{1,3,5,7}:{(41,1),(42,1),(43,1),(87,1),(98,1),(100,1),(190,1),(221,1)}
        70:{1,3,5,6}:{(42,1),(44,1),(88,1),(99,1),(100,1),(101,1),(144,1),(148,1),(154,1)}
        71:{1,2,6}:{(43,1),(45,1),(100,1)}
        72:{1,2,5,7}:{(44,1),(46,1),(47,1),(91,1),(101,1),(102,1),(182,1)}
        73:{2,3,6,7}:{(45,1),(46,1),(48,1),(93,1),(102,1),(149,1),(220,1)}
        74:{1,6,7}:{(47,1),(48,1)}
        75:{3,5,6,7}:{(48,1),(49,1),(97,1),(103,1),(104,1),(156,1)}
        76:{2,3,4,7}:{(50,1),(52,1),(57,1),(106,1),(107,1),(206,1),(210,1)}
        77:{2,3,5}:{(50,1),(53,1),(58,1),(105,1),(108,1)}
        78:{1,2,3,5}:{(51,1),(109,1),(110,1),(163,1),(166,1),(207,1)}
        79:{1,2,4,6}:{(51,1),(52,1),(54,1),(106,1),(109,1),(110,1),(111,1)}
        80:{1,2,5,7}:{(52,1),(53,1),(55,1),(107,1),(110,1),(111,1),(112,1)}
        81:{1,2,6}:{(53,1),(56,1),(108,1),(112,1)}
        82:{1,3,5}:{(54,1),(110,1),(113,1),(118,1),(166,1)}
        83:{1,3,6}:{(55,1),(64,1),(111,1),(119,1)}
        84:{1,3,7}:{(56,1),(65,1),(112,1),(120,1)}
        85:{3,4,5}:{(58,1),(68,1),(105,1),(117,1)}
        86:{3,4,6}:{(57,1),(59,1),(118,1),(119,1),(175,1)}
        87:{3,5,7}:{(57,1),(58,1),(60,1),(118,1),(119,1),(120,1),(166,1),(210,1)}
        88:{3,6}:{(58,1),(61,1),(120,1)}
        89:{1,2,5}:{(59,1),(118,1)}
        90:{1,2,4,6}:{(60,1),(62,1),(64,1),(71,1),(111,1),(119,1),(121,1),(128,1),(158,1),(175,1)}
        91:{1,2,4,7}:{(61,1),(63,1),(65,1),(72,1),(112,1),(120,1),(129,1),(159,1)}
        92:{2,5,6}:{(62,1),(66,1),(123,1)}
        93:{2,4,6,7}:{(62,1),(63,1),(67,1),(73,1),(123,1),(181,1),(211,1)}
        94:{1,5,6}:{(64,1),(66,1),(125,1)}
        95:{1,4,6,7}:{(64,1),(65,1),(67,1),(74,1),(115,1),(125,1),(171,1)}
        96:{4,5,6}:{(66,1),(126,1),(175,1)}
        97:{3,5,7}:{(66,1),(67,1),(123,1),(125,1),(126,1)}
        98:{1,4,5,7}:{(68,1),(69,1),(116,1),(128,1),(129,1),(180,1),(204,1),(226,1)}
        99:{1,4,6}:{(68,1),(70,1),(117,1),(129,1),(175,1)}
       100:{1,3,6}:{(69,1),(71,1),(119,1),(128,1)}
       101:{1,3,5,7}:{(70,1),(72,1),(120,1),(129,1),(130,1),(172,1),(176,1),(180,1)}
       102:{1,2,6,7}:{(71,1),(72,1),(73,1),(74,1),(130,1),(201,1),(227,1)}
       103:{1,5,6,7}:{(74,1),(75,1),(125,1),(131,1)}
       104:{4,6,7}:{(75,1),(126,1)}
       105:{2,4,5}:{(77,1),(85,1),(133,1)}
       106:{2,3,4,6}:{(76,1),(79,1),(86,1),(134,1),(135,1),(137,1),(186,1),(191,1)}
       107:{2,3,5,7}:{(76,1),(77,1),(80,1),(87,1),(132,1),(134,1),(135,1),(136,1)}
       108:{2,3,6}:{(77,1),(81,1),(88,1),(133,1),(136,1)}
       109:{1,2,4}:{(78,1),(137,1)}
       110:{1,2,5}:{(79,1),(82,1),(134,1)}
       111:{1,2,6}:{(80,1),(83,1),(135,1)}
       112:{1,2,7}:{(81,1),(84,1),(136,1)}
       113:{1,4,5}:{(82,1),(141,1),(142,1),(147,1)}
       114:{1,3,5,6}:{(82,1),(83,1),(94,1),(139,1),(142,1),(143,1),(148,1),(151,1),(191,1)}
       115:{1,3,6,7}:{(83,1),(84,1),(95,1),(140,1),(143,1),(149,1),(156,1)}
       116:{3,4,5,7}:{(85,1),(87,1),(98,1),(132,1),(145,1),(146,1),(147,1),(185,1),(197,1),(198,1),(218,1)}
       117:{3,4,6}:{(85,1),(88,1),(99,1),(133,1),(144,1),(146,1)}
       118:{3,5}:{(86,1),(89,1),(147,1)}
       119:{3,6}:{(87,1),(90,1)}
       120:{3,7}:{(88,1),(91,1)}
       121:{1,2,5,6}:{(89,1),(90,1),(92,1),(94,1),(148,1),(150,1),(154,1),(183,1)}
       122:{1,2,4,6,7}:{(90,1),(91,1),(93,1),(95,1),(102,1),(140,1),(149,1),(150,1),(155,1),(184,1),(192,1),(198,1)}
       123:{2,5,7}:{(92,1),(93,1),(97,1)}
       124:{1,4,5,6}:{(94,1),(96,1),(142,1),(151,1),(152,1)}
       125:{1,5,7}:{(94,1),(95,1),(97,1)}
       126:{4,5,7}:{(96,1),(97,1),(104,1),(198,1)}
       127:{1,4,5,6}:{(99,1),(144,1),(153,1),(154,1),(196,1)}
       128:{1,4,6}:{(98,1),(100,1),(145,1),(154,1)}
       129:{1,4,7}:{(99,1),(101,1),(146,1),(198,1)}
       130:{1,3,6,7}:{(100,1),(101,1),(102,1),(149,1),(155,1),(195,1),(221,1)}
       131:{1,4,6,7}:{(103,1),(104,1),(152,1),(156,1)}
       132:{2,4,5,7}:{(105,1),(107,1),(116,1),(158,1),(159,1),(160,1),(203,1),(206,1)}
       133:{2,4,6}:{(105,1),(108,1),(117,1),(157,1),(159,1)}
       134:{2,3,5}:{(106,1),(110,1),(118,1),(160,1),(166,1)}
       135:{2,3,6}:{(107,1),(111,1),(119,1),(158,1)}
       136:{2,3,7}:{(108,1),(112,1),(120,1),(159,1)}
       137:{3,4}:{(109,1),(166,1)}
       138:{1,2,4,5}:{(109,1),(110,1),(113,1),(160,1),(166,1),(167,1),(169,1),(204,1),(207,1)}
       139:{1,2,5,6}:{(110,1),(111,1),(114,1),(161,1),(167,1),(168,1),(177,1),(224,1)}
       140:{1,2,6,7}:{(111,1),(112,1),(115,1),(162,1),(168,1),(181,1),(230,1)}
       141:{3,4,5}:{(113,1),(166,1),(169,1),(170,1)}
       142:{1,4,6}:{(113,1),(114,1),(170,1),(171,1),(175,1)}
       143:{1,3,5,7}:{(114,1),(115,1),(125,1),(168,1),(171,1),(176,1),(178,1),(210,1)}
       144:{3,5,6}:{(117,1),(127,1),(157,1),(172,1)}
       145:{3,4,6}:{(116,1),(119,1),(128,1),(158,1),(173,1),(175,1)}
       146:{3,4,7}:{(117,1),(120,1),(129,1),(159,1),(172,1)}
       147:{4,5}:{(118,1),(175,1)}
       148:{3,5,6}:{(118,1),(119,1),(121,1),(175,1),(176,1)}
       149:{3,6,7}:{(119,1),(120,1),(122,1),(176,1),(210,1)}
       150:{1,2,5,7}:{(121,1),(122,1),(123,1),(125,1),(176,1),(180,1),(203,1)}
       151:{3,5,6}:{(124,1),(170,1),(177,1),(178,1)}
       152:{1,4,5,7}:{(124,1),(125,1),(126,1),(131,1),(171,1),(178,1)}
       153:{1,4,5,7}:{(127,1),(129,1),(172,1),(179,1),(180,1),(213,1)}
       154:{1,5,6}:{(128,1),(173,1),(180,1)}
       155:{1,4,6,7}:{(128,1),(129,1),(130,1),(174,1),(180,1),(226,1),(230,1)}
       156:{3,6,7}:{(131,1),(178,1),(181,1)}
       157:{2,5,6}:{(133,1),(144,1),(182,1)}
       158:{2,4,6}:{(132,1),(135,1),(145,1),(183,1)}
       159:{2,4,7}:{(133,1),(136,1),(146,1),(182,1)}
       160:{2,4,5}:{(134,1),(147,1),(185,1),(186,1)}
       161:{2,3,5,6}:{(134,1),(135,1),(139,1),(148,1),(183,1),(186,1),(187,1),(191,1),(215,1)}
       162:{2,3,6,7}:{(135,1),(136,1),(140,1),(149,1),(184,1),(187,1),(228,1)}
       163:{1,2,3}:{(188,1)}
       164:{2,3,4}:{(137,1),(188,1),(189,1)}
       165:{1,3,4}:{(137,1),(188,1),(190,1)}
       166:{3,5}:{(137,1),(138,1),(191,1)}
       167:{1,2,4,6}:{(138,1),(139,1),(142,1),(186,1),(191,1),(192,1),(193,1),(217,1),(219,1)}
       168:{1,2,5,7}:{(139,1),(140,1),(143,1),(187,1),(192,1),(199,1),(229,1)}
       169:{2,4,5}:{(141,1),(189,1),(193,1)}
       170:{3,4,6}:{(141,1),(142,1),(151,1),(191,1),(193,1),(194,1)}
       171:{1,4,7}:{(142,1),(143,1),(194,1),(198,1)}
       172:{3,5,7}:{(144,1),(146,1),(153,1),(182,1),(195,1)}
       173:{3,5,6}:{(145,1),(154,1),(183,1),(196,1),(197,1)}
       174:{3,4,6,7}:{(145,1),(146,1),(149,1),(155,1),(184,1),(195,1),(197,1),(198,1),(218,1),(222,1),(228,1)}
       175:{4,6}:{(147,1),(148,1),(198,1)}
       176:{3,5,7}:{(148,1),(149,1),(150,1),(198,1)}
       177:{2,5,6}:{(151,1),(193,1),(199,1)}
       178:{3,5,7}:{(151,1),(152,1),(156,1),(194,1),(199,1)}
       179:{1,4,6,7}:{(153,1),(195,1),(200,1),(222,1)}
       180:{1,5,7}:{(154,1),(155,1),(197,1)}
       181:{2,6,7}:{(156,1),(199,1)}
       182:{2,5,7}:{(157,1),(159,1),(172,1),(201,1)}
       183:{2,5,6}:{(158,1),(173,1),(203,1)}
       184:{2,4,6,7}:{(158,1),(159,1),(162,1),(174,1),(201,1),(203,1),(206,1)}
       185:{3,4,5}:{(160,1),(166,1),(204,1),(205,1)}
       186:{2,4,6}:{(160,1),(161,1),(175,1),(205,1),(206,1)}
       187:{2,3,5,7}:{(161,1),(162,1),(168,1),(176,1),(203,1),(206,1),(210,1),(225,1)}
       188:{1,2,4}:{(163,1),(164,1),(165,1),(207,1)}
       189:{2,3,5}:{(164,1),(166,1),(169,1),(207,1),(208,1)}
       190:{1,3,5}:{(165,1),(166,1),(204,1),(207,1),(209,1)}
       191:{3,6}:{(166,1),(167,1),(210,1)}
       192:{1,2,4,7}:{(167,1),(168,1),(171,1),(206,1),(210,1),(211,1),(226,1),(227,1)}
       193:{2,4,6}:{(169,1),(170,1),(177,1),(208,1),(211,1)}
       194:{3,4,7}:{(170,1),(171,1),(178,1),(210,1),(211,1)}
       195:{3,6,7}:{(172,1),(179,1),(201,1)}
       196:{4,5,6}:{(173,1),(175,1),(213,1)}
       197:{3,5,7}:{(173,1),(174,1),(180,1),(203,1),(213,1)}
       198:{4,7}:{(175,1),(176,1)}
       199:{2,5,7}:{(177,1),(178,1),(181,1),(211,1)}
       200:{1,5,6,7}:{(179,1),(180,1),(212,1),(230,1)}
       201:{2,6,7}:{(182,1),(195,1)}
       202:{2,4,5,6}:{(183,1),(186,1),(196,1),(215,1),(216,1)}
       203:{2,5,7}:{(183,1),(184,1),(197,1)}
       204:{1,4,5}:{(185,1),(190,1),(217,1)}
       205:{3,4,6}:{(185,1),(186,1),(191,1),(215,1),(217,1),(218,1)}
       206:{2,4,7}:{(186,1),(187,1),(198,1),(218,1)}
       207:{1,2,5}:{(188,1),(189,1),(190,1),(219,1)}
       208:{2,3,6}:{(189,1),(191,1),(193,1),(219,1),(220,1)}
       209:{1,3,6}:{(190,1),(191,1),(217,1),(219,1),(221,1)}
       210:{3,7}:{(191,1),(192,1)}
       211:{2,4,7}:{(193,1),(194,1),(199,1),(220,1)}
       212:{3,5,6,7}:{(195,1),(197,1),(200,1),(214,1),(222,1),(228,1)}
       213:{4,5,7}:{(196,1),(197,1),(198,1),(222,1)}
       214:{2,5,6,7}:{(201,1),(203,1),(212,1),(223,1)}
       215:{3,5,6}:{(202,1),(205,1),(224,1),(225,1)}
       216:{2,4,5,7}:{(202,1),(203,1),(206,1),(213,1),(223,1),(225,1)}
       217:{1,4,6}:{(204,1),(205,1),(209,1),(224,1),(226,1)}
       218:{3,4,7}:{(205,1),(206,1),(210,1),(225,1),(226,1)}
       219:{1,2,6}:{(207,1),(208,1),(209,1),(227,1)}
       220:{2,3,7}:{(208,1),(210,1),(211,1),(227,1)}
       221:{1,3,7}:{(209,1),(210,1),(226,1),(227,1)}
       222:{4,6,7}:{(212,1),(213,1)}
       223:{2,4,6,7}:{(214,1),(216,1),(222,1),(228,1)}
       224:{1,5,6}:{(215,1),(217,1),(229,1)}
       225:{3,5,7}:{(215,1),(216,1),(218,1),(228,1),(229,1)}
       226:{1,4,7}:{(217,1),(218,1),(221,1),(229,1)}
       227:{1,2,7}:{(219,1),(220,1),(221,1)}
       228:{3,6,7}:{(223,1),(225,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(226,1),(230,1)}
       230:{1,6,7}:{(228,1),(229,1)}

1513 :   0:{2,4,5,6}:{(5,1),(6,1),(27,1),(34,1),(83,1)}
         1:{2,3,4,6}:{(4,1),(7,1),(8,1),(34,1),(37,1),(89,1),(90,1),(138,1),(142,1)}
         2:{3,4,5}:{(12,1),(13,1),(14,1),(61,1)}
         3:{2,5,6,7}:{(10,1),(15,1),(106,1),(113,1)}
         4:{2,3,4,7}:{(1,1),(16,1),(17,1),(59,1),(96,1),(117,1),(118,1),(160,1)}
         5:{2,4,5,7}:{(0,1),(15,1),(18,1),(52,1),(59,1),(113,1)}
         6:{3,5,6}:{(0,1),(12,1),(18,1),(19,1)}
         7:{2,3,5}:{(1,1),(14,1),(21,1),(61,1),(161,1),(165,1)}
         8:{1,2,4,6}:{(1,1),(17,1),(21,1),(22,1),(64,1),(68,1),(121,1)}
         9:{1,3,4}:{(25,1),(26,1),(90,1)}
        10:{3,5,6,7}:{(3,1),(23,1),(28,1),(36,1),(74,1),(81,1)}
        11:{3,4,5,7}:{(2,1),(29,1),(30,1),(31,1),(32,1),(69,1),(81,1),(87,1),(126,1),(180,1),(181,1)}
        12:{3,4,6}:{(2,1),(6,1),(32,1),(33,1),(34,1),(89,1)}
        13:{1,4,5}:{(2,1),(25,1),(33,1)}
        14:{2,4,5}:{(2,1),(7,1),(34,1),(181,1)}
        15:{2,4,6,7}:{(3,1),(5,1),(28,1),(36,1)}
        16:{2,3,5,7}:{(4,1),(7,1),(31,1),(37,1),(38,1),(87,1),(124,1),(169,1),(179,1)}
        17:{1,2,4,7}:{(4,1),(8,1),(38,1),(39,1),(93,1),(125,1)}
        18:{3,5,7}:{(5,1),(6,1),(32,1),(36,1),(40,1)}
        19:{1,5,6}:{(6,1),(33,1),(40,1)}
        20:{2,3,5,6}:{(6,1),(7,1),(34,1),(37,1),(41,1),(42,1),(83,1),(89,1),(140,1)}
        21:{1,2,5}:{(7,1),(8,1),(43,1),(146,1)}
        22:{1,3,6}:{(8,1),(39,1),(43,1),(89,1)}
        23:{1,5,6,7}:{(10,1),(46,1),(62,1),(112,1)}
        24:{1,3,4,7}:{(9,1),(45,1),(47,1),(48,1),(117,1),(151,1),(188,1),(203,1)}
        25:{1,3,5}:{(9,1),(13,1),(49,1),(50,1),(61,1)}
        26:{1,2,4}:{(9,1),(50,1),(51,1),(111,1)}
        27:{4,5,6}:{(52,1),(53,1),(163,1)}
        28:{4,6,7}:{(10,1),(52,1)}
        29:{3,4,6}:{(11,1),(53,1),(55,1),(56,1),(116,1),(163,1)}
        30:{1,4,5,7}:{(11,1),(13,1),(47,1),(55,1),(58,1),(98,1),(112,1),(151,1)}
        31:{2,4,5,7}:{(11,1),(14,1),(16,1),(56,1),(59,1),(99,1),(113,1),(152,1)}
        32:{3,4,7}:{(12,1),(18,1),(58,1),(59,1),(118,1)}
        33:{1,4,6}:{(12,1),(13,1),(19,1),(49,1),(58,1)}
        34:{2,4,6}:{(12,1),(14,1),(20,1),(59,1),(163,1)}
        35:{1,2,4,5}:{(13,1),(14,1),(21,1),(50,1),(60,1),(61,1),(68,1),(111,1),(123,1),(161,1)}
        36:{3,6,7}:{(15,1),(18,1),(62,1)}
        37:{2,3,6}:{(16,1),(56,1),(64,1),(116,1),(193,1)}
        38:{1,2,5,7}:{(16,1),(17,1),(21,1),(64,1),(65,1),(149,1),(185,1)}
        39:{1,3,7}:{(17,1),(22,1),(118,1),(150,1)}
        40:{1,5,7}:{(18,1),(19,1),(58,1),(62,1)}
        41:{2,3,5,7}:{(18,1),(20,1),(59,1),(63,1),(66,1),(113,1),(118,1),(162,1)}
        42:{1,2,5,6}:{(19,1),(20,1),(21,1),(60,1),(64,1),(66,1),(67,1),(161,1),(193,1)}
        43:{1,3,5}:{(21,1),(22,1),(61,1),(68,1)}
        44:{1,4,5,6}:{(27,1),(70,1),(71,1),(82,1),(127,1)}
        45:{1,3,4,6}:{(24,1),(72,1),(73,1),(75,1),(127,1),(142,1),(173,1),(174,1),(197,1)}
        46:{1,4,6,7}:{(23,1),(28,1),(70,1),(74,1)}
        47:{1,3,5,7}:{(24,1),(25,1),(30,1),(72,1),(75,1),(76,1),(78,1),(87,1),(207,1)}
        48:{1,2,4,7}:{(24,1),(26,1),(73,1),(76,1),(77,1),(136,1)}
        49:{1,3,6}:{(25,1),(33,1),(78,1),(79,1),(89,1)}
        50:{1,2,5}:{(25,1),(26,1),(79,1),(80,1)}
        51:{2,3}:{(26,1)}
        52:{4,5,7}:{(27,1),(28,1),(81,1),(180,1)}
        53:{3,5,6}:{(27,1),(29,1),(81,1),(82,1),(83,1)}
        54:{3,4,6,7}:{(28,1),(29,1),(32,1),(36,1),(74,1),(81,1),(84,1),(85,1),(126,1),(141,1),(180,1)}
        55:{1,4,6}:{(29,1),(30,1),(75,1),(82,1)}
        56:{2,4,6}:{(29,1),(31,1),(37,1),(83,1)}
        57:{1,2,4,5,7}:{(30,1),(31,1),(35,1),(38,1),(76,1),(86,1),(87,1),(88,1),(93,1),(129,1),(136,1),(139,1),(146,1),(147,1),(172,1),(178,1),(179,1),(180,1),(181,1),(200,1),(207,1)}
        58:{1,4,7}:{(32,1),(33,1),(40,1),(78,1)}
        59:{2,4,7}:{(32,1),(34,1),(41,1),(180,1)}
        60:{1,2,4,6}:{(33,1),(34,1),(35,1),(42,1),(79,1),(88,1),(89,1),(95,1),(138,1)}
        61:{3,5}:{(35,1),(89,1),(90,1)}
        62:{1,6,7}:{(36,1),(40,1)}
        63:{2,3,6,7}:{(36,1),(37,1),(41,1),(85,1),(91,1),(141,1),(169,1)}
        64:{1,2,6}:{(37,1),(38,1),(92,1)}
        65:{1,3,5,7}:{(38,1),(39,1),(43,1),(87,1),(92,1),(93,1),(146,1),(171,1),(196,1),(207,1)}
        66:{1,2,5,7}:{(40,1),(41,1),(42,1),(88,1),(91,1),(94,1),(179,1)}
        67:{1,3,5,6}:{(42,1),(43,1),(89,1),(92,1),(94,1),(95,1),(140,1),(144,1),(146,1),(183,1),(184,1)}
        68:{1,4}:{(43,1),(90,1)}
        69:{3,4,5}:{(97,1),(98,1),(99,1),(154,1)}
        70:{1,4,5,7}:{(44,1),(46,1),(52,1),(100,1),(112,1),(151,1)}
        71:{3,5,6}:{(44,1),(97,1),(100,1),(102,1)}
        72:{1,3,5}:{(45,1),(98,1),(103,1),(154,1),(165,1),(204,1)}
        73:{1,2,4,6}:{(45,1),(48,1),(103,1),(104,1),(107,1),(157,1),(159,1)}
        74:{3,6,7}:{(46,1),(100,1),(106,1)}
        75:{1,3,6}:{(47,1),(55,1),(107,1),(116,1),(209,1)}
        76:{1,2,5,7}:{(47,1),(48,1),(50,1),(103,1),(107,1),(108,1),(109,1)}
        77:{2,3,7}:{(48,1),(51,1),(104,1),(188,1)}
        78:{1,3,7}:{(49,1),(58,1),(109,1),(118,1)}
        79:{1,2,6}:{(49,1),(50,1),(109,1),(110,1)}
        80:{2,3,5}:{(50,1),(51,1),(61,1),(110,1),(111,1),(161,1)}
        81:{3,5,7}:{(52,1),(53,1),(54,1),(112,1),(113,1)}
        82:{1,5,6}:{(53,1),(55,1),(112,1)}
        83:{2,5,6}:{(53,1),(56,1),(113,1)}
        84:{1,4,6,7}:{(54,1),(55,1),(58,1),(62,1),(105,1),(112,1),(151,1)}
        85:{2,4,6,7}:{(54,1),(56,1),(59,1),(63,1),(106,1),(113,1),(152,1)}
        86:{1,2,4,6}:{(55,1),(56,1),(57,1),(64,1),(107,1),(114,1),(116,1),(121,1),(159,1),(163,1),(168,1),(193,1),(206,1),(209,1)}
        87:{3,5,7}:{(57,1),(61,1),(116,1),(117,1),(118,1),(154,1),(165,1),(188,1)}
        88:{1,2,4,7}:{(58,1),(59,1),(60,1),(66,1),(109,1),(118,1),(122,1),(160,1)}
        89:{3,6}:{(60,1),(61,1),(118,1)}
        90:{3,4}:{(61,1),(68,1),(111,1)}
        91:{1,2,6,7}:{(62,1),(63,1),(64,1),(66,1),(120,1),(185,1),(193,1)}
        92:{1,3,6}:{(64,1),(65,1),(116,1),(121,1),(209,1)}
        93:{1,4,7}:{(65,1),(68,1),(117,1),(121,1),(187,1)}
        94:{1,3,5,7}:{(66,1),(67,1),(118,1),(120,1),(122,1),(162,1),(166,1),(167,1)}
        95:{1,4,6}:{(67,1),(68,1),(119,1),(122,1),(123,1),(163,1)}
        96:{2,3,4}:{(124,1),(125,1),(174,1)}
        97:{3,4,6}:{(69,1),(71,1),(126,1),(127,1),(128,1),(173,1)}
        98:{1,4,5}:{(69,1),(72,1),(127,1),(181,1)}
        99:{2,4,5}:{(69,1),(124,1),(128,1)}
       100:{3,5,7}:{(70,1),(71,1),(74,1),(126,1),(131,1)}
       101:{1,3,5,6}:{(71,1),(72,1),(75,1),(82,1),(127,1),(130,1),(132,1),(140,1),(173,1)}
       102:{2,5,6}:{(71,1),(128,1),(131,1)}
       103:{1,2,5}:{(72,1),(73,1),(133,1),(178,1)}
       104:{2,3,6}:{(73,1),(77,1),(133,1),(173,1)}
       105:{1,3,6,7}:{(74,1),(75,1),(78,1),(84,1),(130,1),(134,1),(141,1)}
       106:{2,6,7}:{(74,1),(131,1)}
       107:{1,2,6}:{(75,1),(76,1),(135,1)}
       108:{2,3,5,7}:{(76,1),(77,1),(80,1),(87,1),(133,1),(135,1),(136,1),(137,1),(178,1),(179,1)}
       109:{1,2,7}:{(78,1),(79,1),(137,1)}
       110:{2,3,6}:{(79,1),(80,1),(89,1),(137,1),(138,1)}
       111:{2,4}:{(80,1),(90,1)}
       112:{1,5,7}:{(81,1),(82,1),(84,1)}
       113:{2,5,7}:{(81,1),(83,1),(85,1)}
       114:{1,2,5,6}:{(82,1),(83,1),(86,1),(139,1),(140,1),(146,1),(178,1),(184,1),(201,1)}
       115:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(134,1),(139,1),(141,1),(145,1),(172,1),(177,1),(180,1)}
       116:{3,6}:{(86,1),(87,1)}
       117:{3,4,7}:{(87,1),(90,1),(93,1),(136,1),(142,1),(174,1),(180,1)}
       118:{3,7}:{(88,1),(89,1)}
       119:{3,4,6}:{(89,1),(90,1),(95,1),(138,1),(143,1),(144,1),(183,1)}
       120:{1,3,6,7}:{(91,1),(92,1),(94,1),(141,1),(145,1),(183,1),(196,1)}
       121:{1,4,6}:{(92,1),(93,1),(142,1),(146,1)}
       122:{1,4,7}:{(94,1),(95,1),(143,1),(180,1)}
       123:{1,4,5}:{(95,1),(144,1),(146,1),(181,1)}
       124:{2,3,5}:{(96,1),(99,1),(148,1),(149,1),(154,1)}
       125:{1,2,4}:{(96,1),(149,1),(150,1),(187,1)}
       126:{3,4,7}:{(97,1),(100,1),(151,1),(152,1),(188,1)}
       127:{1,4,6}:{(97,1),(98,1),(101,1),(151,1),(163,1)}
       128:{2,4,6}:{(97,1),(99,1),(102,1),(148,1),(152,1)}
       129:{1,2,4,5}:{(98,1),(99,1),(103,1),(149,1),(153,1),(154,1),(157,1),(187,1),(191,1),(204,1)}
       130:{1,3,5,7}:{(100,1),(101,1),(105,1),(112,1),(151,1),(155,1),(162,1),(188,1)}
       131:{2,5,7}:{(100,1),(102,1),(106,1),(152,1)}
       132:{1,2,5,6}:{(101,1),(102,1),(103,1),(107,1),(153,1),(155,1),(156,1),(204,1),(209,1)}
       133:{2,3,5}:{(103,1),(104,1),(154,1),(157,1)}
       134:{1,2,6,7}:{(105,1),(106,1),(107,1),(109,1),(155,1),(158,1),(209,1)}
       135:{2,3,6}:{(107,1),(108,1),(116,1),(159,1),(193,1)}
       136:{2,4,7}:{(108,1),(111,1),(117,1),(157,1),(159,1)}
       137:{2,3,7}:{(109,1),(110,1),(118,1),(160,1)}
       138:{2,4,6}:{(110,1),(111,1),(119,1),(160,1),(161,1),(193,1)}
       139:{1,2,5,7}:{(112,1),(113,1),(114,1),(115,1),(162,1),(167,1),(192,1)}
       140:{3,5,6}:{(114,1),(116,1),(162,1),(163,1),(165,1)}
       141:{3,6,7}:{(115,1),(116,1),(118,1),(162,1),(188,1)}
       142:{3,4,6}:{(116,1),(117,1),(121,1),(159,1),(163,1),(165,1)}
       143:{3,4,7}:{(118,1),(119,1),(122,1),(160,1),(166,1)}
       144:{3,5}:{(119,1),(123,1),(161,1)}
       145:{1,4,6,7}:{(120,1),(121,1),(122,1),(164,1),(167,1),(168,1),(203,1),(209,1)}
       146:{1,5}:{(121,1),(165,1)}
       147:{1,4,5,7}:{(122,1),(123,1),(166,1),(167,1),(168,1),(194,1)}
       148:{2,3,6}:{(124,1),(128,1),(169,1),(170,1),(173,1)}
       149:{1,2,5}:{(124,1),(125,1),(170,1),(171,1)}
       150:{1,3}:{(125,1)}
       151:{1,4,7}:{(126,1),(127,1),(130,1),(180,1)}
       152:{2,4,7}:{(126,1),(128,1),(131,1),(169,1)}
       153:{1,2,4,6}:{(127,1),(128,1),(129,1),(132,1),(170,1),(172,1),(173,1),(176,1),(197,1)}
       154:{3,5}:{(129,1),(173,1),(174,1)}
       155:{1,2,5,7}:{(130,1),(131,1),(132,1),(134,1),(172,1),(175,1),(207,1)}
       156:{2,3,5,6}:{(132,1),(133,1),(135,1),(140,1),(173,1),(175,1),(176,1),(178,1),(199,1),(201,1),(208,1)}
       157:{2,4}:{(133,1),(174,1)}
       158:{2,3,6,7}:{(134,1),(135,1),(137,1),(141,1),(175,1),(177,1),(208,1)}
       159:{2,4,6}:{(135,1),(136,1),(142,1),(178,1)}
       160:{2,4,7}:{(137,1),(138,1),(143,1),(179,1)}
       161:{2,5}:{(138,1),(144,1)}
       162:{3,5,7}:{(139,1),(140,1),(141,1),(180,1)}
       163:{4,6}:{(140,1),(180,1),(181,1)}
       164:{3,4,6,7}:{(141,1),(142,1),(143,1),(145,1),(177,1),(180,1),(182,1),(183,1),(198,1),(202,1),(208,1)}
       165:{3,5}:{(142,1),(146,1),(178,1),(181,1)}
       166:{3,5,7}:{(143,1),(144,1),(147,1),(179,1),(183,1)}
       167:{1,5,7}:{(145,1),(146,1),(182,1),(184,1)}
       168:{1,4,6}:{(147,1),(183,1),(184,1),(202,1)}
       169:{2,3,7}:{(148,1),(152,1),(185,1),(188,1)}
       170:{1,2,6}:{(148,1),(149,1),(185,1),(186,1)}
       171:{1,3,5}:{(149,1),(150,1),(154,1),(186,1),(187,1),(204,1)}
       172:{1,2,4,7}:{(151,1),(152,1),(153,1),(155,1),(185,1),(188,1),(190,1),(203,1)}
       173:{3,6}:{(153,1),(154,1),(188,1)}
       174:{3,4}:{(154,1),(157,1),(187,1)}
       175:{2,3,5,7}:{(155,1),(156,1),(158,1),(162,1),(188,1),(190,1),(192,1),(205,1)}
       176:{2,4,6}:{(156,1),(157,1),(163,1),(189,1),(190,1),(191,1)}
       177:{2,4,6,7}:{(158,1),(159,1),(160,1),(164,1),(190,1),(192,1),(193,1),(206,1)}
       178:{2,5}:{(159,1),(165,1)}
       179:{2,5,7}:{(160,1),(161,1),(166,1),(193,1)}
       180:{4,7}:{(162,1),(163,1)}
       181:{4,5}:{(163,1),(165,1)}
       182:{3,5,7}:{(164,1),(165,1),(167,1),(192,1),(194,1),(195,1)}
       183:{3,6}:{(166,1),(168,1),(193,1)}
       184:{1,5,6}:{(167,1),(168,1),(195,1),(209,1)}
       185:{1,2,7}:{(169,1),(170,1),(196,1)}
       186:{1,3,6}:{(170,1),(171,1),(173,1),(196,1),(197,1)}
       187:{1,4}:{(171,1),(174,1)}
       188:{3,7}:{(172,1),(173,1)}
       189:{3,4,6}:{(173,1),(174,1),(176,1),(197,1),(198,1),(199,1),(208,1)}
       190:{2,4,7}:{(175,1),(176,1),(180,1),(198,1)}
       191:{2,4,5}:{(176,1),(178,1),(181,1),(199,1)}
       192:{2,5,7}:{(177,1),(178,1),(182,1),(201,1)}
       193:{2,6}:{(179,1),(183,1)}
       194:{4,5,7}:{(180,1),(181,1),(182,1),(202,1)}
       195:{3,5,6}:{(182,1),(183,1),(184,1),(201,1),(202,1),(208,1)}
       196:{1,3,7}:{(185,1),(186,1),(188,1),(203,1)}
       197:{1,4,6}:{(186,1),(187,1),(189,1),(203,1),(204,1),(209,1)}
       198:{3,4,7}:{(188,1),(189,1),(190,1),(203,1),(205,1)}
       199:{3,5}:{(189,1),(191,1),(204,1)}
       200:{2,4,5,7}:{(190,1),(191,1),(192,1),(194,1),(205,1),(206,1)}
       201:{2,5,6}:{(192,1),(193,1),(195,1),(206,1)}
       202:{4,6}:{(194,1),(195,1)}
       203:{1,4,7}:{(196,1),(197,1),(198,1),(207,1)}
       204:{1,5}:{(197,1),(199,1)}
       205:{3,5,7}:{(198,1),(199,1),(200,1),(207,1),(208,1)}
       206:{2,4,6}:{(200,1),(201,1),(202,1),(208,1)}
       207:{1,5,7}:{(203,1),(204,1),(205,1),(209,1)}
       208:{3,6}:{(205,1),(206,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

1514 :   0:{1,2,3,6,7}:{(2,1),(3,1),(40,1),(77,1),(78,1),(79,1),(80,1),(104,1)}
         1:{1,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(37,1),(40,1),(46,1),(78,1),(95,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(7,1),(8,1),(24,1),(57,1),(65,1),(84,1),(93,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(25,1),(61,1),(62,1),(89,1),(90,1),(92,1)}
         4:{1,3,5,7}:{(1,1),(7,1),(9,1),(10,1),(25,1),(55,1),(63,1)}
         5:{2,3,4,6,7}:{(2,1),(11,1),(15,1),(33,1),(38,1),(40,1),(68,1),(79,1),(96,1),(104,1)}
         6:{1,2,3,5,6}:{(3,1),(12,1),(13,1),(36,1),(40,1),(74,1),(75,1),(76,1),(77,1),(80,1)}
         7:{1,2,5,7}:{(2,1),(4,1),(11,1),(13,1),(76,1),(81,1),(94,1)}
         8:{1,2,4,7}:{(3,1),(12,1),(15,1),(95,1),(96,1),(100,1)}
         9:{1,3,5,6}:{(4,1),(13,1),(17,1),(40,1),(45,1)}
        10:{1,4,5,7}:{(4,1),(17,1),(18,1),(71,1),(95,1)}
        11:{2,3,5,7}:{(5,1),(7,1),(19,1),(20,1),(25,1),(56,1),(82,1)}
        12:{1,2,4,6}:{(6,1),(8,1),(21,1),(22,1),(86,1),(87,1)}
        13:{1,2,5,6}:{(7,1),(9,1),(19,1),(24,1),(64,1),(83,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(10,1),(20,1),(21,1),(24,1),(25,1),(31,1),(51,1),(61,1),(88,1),(101,1)}
        15:{3,4,7}:{(8,1),(22,1),(25,1),(103,1)}
        16:{1,3,5,6,7}:{(9,1),(23,1),(29,1),(58,1),(63,1),(89,1)}
        17:{1,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(25,1),(30,1),(31,1),(52,1),(63,1),(85,1)}
        19:{2,3,5,6}:{(11,1),(13,1),(33,1),(40,1),(67,1)}
        20:{2,4,5,7}:{(11,1),(33,1),(34,1),(72,1),(96,1)}
        21:{1,2,4,5}:{(12,1),(36,1),(71,1),(72,1),(76,1)}
        22:{3,4,6}:{(12,1),(15,1),(36,1),(40,1)}
        23:{1,2,5,6,7}:{(13,1),(16,1),(32,1),(39,1),(81,1),(94,1),(99,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(17,1),(33,1),(40,1),(47,1),(69,1),(80,1)}
        25:{3,5,7}:{(14,1),(15,1),(36,1),(40,1),(98,1),(104,1)}
        26:{1,3,4,7}:{(15,1),(37,1),(41,1),(43,1),(95,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(38,1),(42,1),(43,1),(96,1),(104,1)}
        28:{1,4,5,6}:{(17,1),(44,1),(45,1)}
        29:{1,4,6,7}:{(16,1),(17,1),(44,1),(46,1),(95,1)}
        30:{3,4,6}:{(17,1),(18,1),(40,1),(45,1),(47,1)}
        31:{2,4,5,7}:{(18,1),(42,1),(47,1),(72,1),(81,1),(96,1)}
        32:{2,3,5,6,7}:{(19,1),(23,1),(49,1),(58,1),(82,1),(90,1)}
        33:{2,4,6}:{(19,1),(20,1),(50,1)}
        34:{3,4,5,7}:{(20,1),(25,1),(50,1),(51,1),(52,1),(82,1),(85,1)}
        35:{1,2,4,5,6}:{(21,1),(24,1),(28,1),(48,1),(53,1),(54,1),(64,1),(83,1),(86,1),(87,1),(91,1)}
        36:{3,5}:{(21,1),(22,1)}
        37:{1,3,4,6}:{(22,1),(26,1),(55,1),(57,1),(59,1),(86,1),(102,1),(103,1)}
        38:{2,3,4,6}:{(22,1),(27,1),(56,1),(57,1),(60,1),(87,1),(102,1),(103,1)}
        39:{1,2,4,6,7}:{(23,1),(24,1),(29,1),(49,1),(53,1),(58,1),(65,1),(84,1),(93,1),(101,1)}
        40:{3,6}:{(24,1),(25,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(51,1),(55,1),(59,1),(61,1)}
        42:{2,3,5,7}:{(25,1),(27,1),(31,1),(56,1),(60,1),(61,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(57,1),(61,1),(62,1)}
        44:{1,4,5,7}:{(28,1),(29,1),(63,1)}
        45:{3,5,6}:{(28,1),(30,1),(63,1),(64,1)}
        46:{3,4,6,7}:{(29,1),(30,1),(58,1),(63,1),(65,1),(85,1)}
        47:{2,4,6}:{(30,1),(31,1),(60,1),(64,1)}
        48:{2,4,5,6}:{(33,1),(66,1),(67,1)}
        49:{2,4,6,7}:{(32,1),(33,1),(66,1),(68,1),(96,1)}
        50:{3,4,6}:{(33,1),(34,1),(40,1),(67,1),(69,1)}
        51:{1,4,5,7}:{(34,1),(41,1),(69,1),(71,1),(94,1),(95,1)}
        52:{3,4,5}:{(36,1),(70,1),(71,1),(72,1),(98,1)}
        53:{1,2,4,5,7}:{(35,1),(39,1),(44,1),(66,1),(73,1),(81,1),(94,1),(95,1),(96,1),(99,1)}
        54:{3,5,6}:{(35,1),(36,1),(40,1),(70,1),(73,1)}
        55:{1,3,5}:{(36,1),(37,1),(71,1),(76,1),(98,1)}
        56:{2,3,5}:{(36,1),(38,1),(72,1),(76,1),(98,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(43,1),(76,1),(77,1),(80,1),(100,1)}
        58:{3,6,7}:{(39,1),(40,1),(73,1),(104,1)}
        59:{1,3,6}:{(40,1),(41,1),(69,1),(80,1)}
        60:{2,3,6}:{(40,1),(42,1),(47,1),(80,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(43,1),(76,1),(80,1)}
        62:{1,2,3,7}:{(43,1),(77,1),(104,1)}
        63:{3,5,7}:{(44,1),(45,1),(46,1),(81,1)}
        64:{2,5,6}:{(45,1),(47,1),(81,1)}
        65:{2,4,6,7}:{(46,1),(47,1),(79,1),(81,1),(96,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(82,1)}
        67:{3,5,6}:{(48,1),(50,1),(82,1),(83,1)}
        68:{3,4,6,7}:{(49,1),(50,1),(58,1),(82,1),(84,1),(85,1)}
        69:{1,4,6}:{(50,1),(51,1),(59,1),(83,1)}
        70:{3,4,6}:{(52,1),(54,1),(85,1),(86,1),(87,1),(102,1)}
        71:{1,4,5}:{(52,1),(55,1),(86,1)}
        72:{2,4,5}:{(52,1),(56,1),(87,1)}
        73:{3,5,7}:{(53,1),(54,1),(58,1),(85,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(59,1),(83,1),(86,1),(89,1),(91,1),(102,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(60,1),(64,1),(87,1),(90,1),(91,1),(102,1)}
        76:{1,2,5}:{(55,1),(56,1),(57,1)}
        77:{1,2,3,6}:{(57,1),(62,1),(92,1),(102,1)}
        78:{1,3,6,7}:{(58,1),(59,1),(84,1),(89,1),(93,1)}
        79:{2,3,6,7}:{(58,1),(60,1),(65,1),(90,1),(93,1)}
        80:{1,2,6}:{(59,1),(60,1),(61,1)}
        81:{2,5,7}:{(63,1),(64,1),(65,1)}
        82:{3,5,7}:{(66,1),(67,1),(68,1),(94,1)}
        83:{1,5,6}:{(67,1),(69,1),(94,1)}
        84:{1,4,6,7}:{(68,1),(69,1),(78,1),(94,1),(95,1)}
        85:{3,4,7}:{(70,1),(73,1),(95,1),(96,1),(104,1)}
        86:{1,4,6}:{(70,1),(71,1),(74,1),(95,1)}
        87:{2,4,6}:{(70,1),(72,1),(75,1),(96,1)}
        88:{1,2,4,5}:{(71,1),(72,1),(76,1),(97,1),(98,1),(100,1)}
        89:{1,3,5,7}:{(73,1),(74,1),(78,1),(94,1),(95,1),(99,1),(104,1)}
        90:{2,3,5,7}:{(73,1),(75,1),(79,1),(81,1),(96,1),(99,1),(104,1)}
        91:{1,2,5,6}:{(74,1),(75,1),(76,1),(80,1),(97,1),(99,1)}
        92:{1,2,3,5}:{(76,1),(77,1),(98,1),(100,1)}
        93:{1,2,6,7}:{(78,1),(79,1),(80,1),(99,1)}
        94:{1,5,7}:{(82,1),(83,1),(84,1)}
        95:{1,4,7}:{(85,1),(86,1),(89,1)}
        96:{2,4,7}:{(85,1),(87,1),(90,1)}
        97:{1,2,4,6}:{(86,1),(87,1),(88,1),(91,1),(101,1),(102,1)}
        98:{3,5}:{(88,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(89,1),(90,1),(91,1),(93,1),(101,1)}
       100:{1,2,4}:{(92,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1515 :   0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(27,1),(29,1),(31,1),(55,1),(58,1),(78,1),(80,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(40,1),(73,1),(94,1),(98,1)}
         2:{1,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(74,1),(93,1)}
         3:{1,3,5,6}:{(2,1),(8,1),(9,1),(24,1),(29,1)}
         4:{2,3,6,7}:{(1,1),(10,1),(29,1),(109,1),(113,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(108,1)}
         6:{1,4,5,7}:{(2,1),(9,1),(12,1),(80,1),(83,1)}
         7:{1,3,5,6,7}:{(3,1),(14,1),(15,1),(35,1),(39,1),(63,1),(125,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(37,1),(74,1)}
         9:{1,4,6}:{(3,1),(6,1),(18,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(121,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(45,1),(47,1),(74,1),(98,1),(99,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(65,1)}
        13:{1,4,5,6}:{(9,1),(22,1),(24,1)}
        14:{1,2,5,6,7}:{(7,1),(8,1),(25,1),(26,1),(49,1),(82,1),(87,1),(115,1)}
        15:{1,4,6,7}:{(7,1),(9,1),(22,1),(27,1),(80,1),(132,1)}
        16:{2,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(24,1),(29,1),(30,1)}
        19:{2,4,7}:{(10,1),(28,1),(31,1),(129,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(113,1),(114,1)}
        21:{2,4,5,7}:{(12,1),(30,1),(33,1),(49,1),(81,1),(84,1)}
        22:{1,4,5,7}:{(13,1),(15,1),(35,1),(136,1)}
        23:{1,2,4,5,6}:{(13,1),(17,1),(34,1),(36,1),(37,1),(41,1),(66,1),(67,1),(68,1),(69,1),(74,1),(99,1),(101,1),(122,1),(136,1),(139,1)}
        24:{3,5,6}:{(13,1),(18,1),(35,1),(37,1)}
        25:{2,3,5,6,7}:{(14,1),(16,1),(38,1),(39,1),(64,1),(70,1),(102,1)}
        26:{1,2,4,6,7}:{(14,1),(15,1),(17,1),(34,1),(38,1),(39,1),(40,1),(71,1),(73,1),(98,1),(122,1)}
        27:{3,4,6,7}:{(15,1),(18,1),(35,1),(39,1),(40,1),(62,1),(135,1)}
        28:{2,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{2,4,6}:{(18,1),(21,1),(37,1),(44,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(45,1),(124,1)}
        32:{1,3,5,7}:{(20,1),(43,1),(45,1),(47,1),(74,1),(77,1),(105,1)}
        33:{2,3,5,7}:{(20,1),(21,1),(44,1),(46,1),(47,1),(75,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(26,1),(48,1),(49,1),(53,1),(80,1),(81,1),(82,1),(87,1)}
        35:{3,5,7}:{(22,1),(24,1),(27,1),(49,1),(138,1)}
        36:{3,5,6}:{(23,1),(29,1),(48,1),(50,1),(57,1),(114,1),(130,1),(138,1)}
        37:{2,5,6}:{(24,1),(30,1),(49,1)}
        38:{2,4,6,7}:{(25,1),(28,1),(53,1),(54,1),(81,1),(111,1)}
        39:{3,6,7}:{(26,1),(29,1),(48,1),(113,1),(130,1)}
        40:{2,4,6,7}:{(27,1),(30,1),(49,1),(56,1),(81,1),(137,1)}
        41:{2,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(58,1)}
        43:{1,3,6}:{(29,1),(32,1),(58,1),(60,1)}
        44:{2,3,6}:{(29,1),(30,1),(33,1),(60,1)}
        45:{1,4,7}:{(31,1),(32,1),(58,1),(117,1)}
        46:{2,3,4,7}:{(31,1),(33,1),(59,1),(61,1),(81,1),(113,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(36,1),(39,1),(62,1)}
        49:{2,5,7}:{(35,1),(37,1),(40,1),(139,1)}
        50:{3,4,6}:{(36,1),(62,1),(65,1),(66,1),(67,1),(100,1),(124,1)}
        51:{1,3,5,6}:{(36,1),(43,1),(63,1),(66,1),(68,1),(74,1),(93,1),(100,1),(101,1),(105,1),(118,1)}
        52:{2,3,5,6}:{(36,1),(37,1),(44,1),(64,1),(67,1),(68,1),(75,1),(100,1),(121,1),(133,1),(139,1)}
        53:{2,4,5,7}:{(38,1),(41,1),(69,1),(70,1)}
        54:{3,4,6,7}:{(38,1),(39,1),(42,1),(62,1),(70,1),(71,1),(95,1)}
        55:{1,3,6,7}:{(39,1),(43,1),(63,1),(71,1),(73,1),(118,1)}
        56:{2,3,6,7}:{(39,1),(40,1),(44,1),(64,1),(73,1),(133,1)}
        57:{3,5}:{(41,1),(42,1),(74,1)}
        58:{1,4,6}:{(42,1),(43,1),(45,1),(74,1)}
        59:{2,3,4,6}:{(42,1),(44,1),(46,1),(67,1),(75,1),(76,1),(100,1),(124,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(50,1),(80,1),(81,1),(113,1)}
        63:{1,3,5,7}:{(48,1),(51,1),(55,1),(80,1),(82,1),(87,1),(113,1)}
        64:{2,3,5,7}:{(48,1),(49,1),(52,1),(56,1),(81,1),(82,1),(113,1)}
        65:{3,4,5}:{(50,1),(57,1),(83,1),(84,1),(114,1),(138,1)}
        66:{1,4,6}:{(50,1),(51,1),(80,1),(83,1),(117,1)}
        67:{2,4,6}:{(50,1),(52,1),(81,1),(84,1),(129,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(60,1),(82,1),(85,1),(90,1),(108,1),(127,1)}
        69:{2,4,5,6}:{(53,1),(86,1),(111,1)}
        70:{3,5,7}:{(53,1),(54,1),(57,1),(86,1),(87,1)}
        71:{1,4,6,7}:{(54,1),(55,1),(58,1),(80,1),(87,1),(110,1)}
        72:{2,3,4,6,7}:{(54,1),(56,1),(59,1),(81,1),(88,1),(89,1),(111,1),(113,1),(130,1),(131,1),(137,1)}
        73:{1,2,6,7}:{(55,1),(56,1),(60,1),(82,1),(127,1)}
        74:{1,5}:{(57,1),(58,1)}
        75:{2,3,5}:{(57,1),(59,1),(84,1),(90,1),(114,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{1,3,7}:{(61,1),(91,1),(113,1)}
        78:{1,3,4,6}:{(66,1),(92,1),(93,1),(94,1),(100,1),(118,1),(124,1),(135,1)}
        79:{3,4,5,7}:{(62,1),(65,1),(70,1),(95,1),(96,1),(97,1),(123,1)}
        80:{1,4,7}:{(62,1),(63,1),(66,1)}
        81:{2,4,7}:{(62,1),(64,1),(67,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(68,1),(73,1),(98,1)}
        83:{1,4,5}:{(65,1),(66,1),(74,1),(93,1)}
        84:{2,4,5}:{(65,1),(67,1),(75,1),(139,1)}
        85:{1,2,4,6}:{(66,1),(67,1),(68,1),(98,1),(99,1),(100,1)}
        86:{3,5,6}:{(69,1),(70,1),(95,1),(101,1)}
        87:{1,5,7}:{(70,1),(71,1),(74,1),(101,1)}
        88:{2,3,5,7}:{(70,1),(72,1),(75,1),(97,1),(102,1),(103,1),(123,1),(139,1)}
        89:{1,2,4,6,7}:{(71,1),(72,1),(73,1),(76,1),(98,1),(103,1),(104,1),(122,1),(126,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{1,3,6}:{(76,1),(77,1),(100,1),(105,1)}
        92:{1,3,4,7}:{(78,1),(80,1),(106,1),(107,1),(113,1),(131,1)}
        93:{1,3,5}:{(78,1),(83,1),(108,1),(114,1),(138,1)}
        94:{1,2,4,6}:{(78,1),(107,1),(108,1),(109,1),(127,1),(129,1),(137,1)}
        95:{3,4,6}:{(79,1),(86,1),(110,1),(111,1),(130,1)}
        96:{1,4,5,7}:{(79,1),(80,1),(83,1),(87,1),(106,1),(110,1)}
        97:{2,4,5,7}:{(79,1),(81,1),(84,1),(88,1),(111,1)}
        98:{1,2,4,7}:{(80,1),(81,1),(82,1),(85,1),(113,1)}
        99:{1,2,4,5}:{(83,1),(84,1),(85,1),(90,1),(108,1),(114,1),(117,1),(129,1)}
       100:{3,6}:{(85,1),(113,1),(114,1)}
       101:{1,5,6}:{(86,1),(87,1),(110,1)}
       102:{2,3,5,6}:{(86,1),(88,1),(111,1),(115,1),(130,1)}
       103:{1,2,5,7}:{(87,1),(88,1),(89,1),(90,1),(115,1),(116,1)}
       104:{1,3,6,7}:{(89,1),(91,1),(113,1),(116,1),(130,1)}
       105:{1,3,5}:{(90,1),(91,1),(114,1),(117,1)}
       106:{1,3,5,7}:{(92,1),(93,1),(96,1),(118,1),(119,1),(123,1)}
       107:{1,2,4,7}:{(92,1),(94,1),(119,1),(120,1),(134,1)}
       108:{1,2,5}:{(93,1),(94,1),(121,1),(139,1)}
       109:{2,3,6}:{(94,1),(100,1),(120,1),(121,1)}
       110:{1,4,6}:{(95,1),(96,1),(101,1),(118,1)}
       111:{2,4,6}:{(95,1),(97,1),(102,1)}
       112:{1,2,4,5,7}:{(96,1),(97,1),(98,1),(99,1),(103,1),(119,1),(122,1),(123,1),(126,1),(134,1),(136,1),(139,1)}
       113:{3,7}:{(98,1),(100,1)}
       114:{3,5}:{(99,1),(100,1),(124,1)}
       115:{1,2,5,6}:{(101,1),(102,1),(103,1),(122,1),(125,1),(139,1)}
       116:{1,3,5,7}:{(103,1),(104,1),(105,1),(123,1),(125,1),(126,1)}
       117:{1,4}:{(105,1),(124,1)}
       118:{1,3,6}:{(106,1),(110,1),(127,1),(130,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(108,1),(127,1),(128,1)}
       120:{2,3,7}:{(107,1),(109,1),(113,1)}
       121:{2,3,5}:{(108,1),(109,1),(114,1),(129,1)}
       122:{1,2,4,6}:{(110,1),(111,1),(112,1),(115,1),(127,1),(130,1),(132,1),(137,1)}
       123:{3,5,7}:{(112,1),(113,1),(114,1),(130,1),(131,1),(138,1)}
       124:{3,4}:{(114,1),(117,1),(129,1)}
       125:{1,3,5,6}:{(115,1),(116,1),(130,1),(132,1),(138,1)}
       126:{1,4,7}:{(116,1),(117,1),(131,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{2,3,5,7}:{(119,1),(120,1),(121,1),(123,1),(133,1),(134,1),(139,1)}
       129:{2,4}:{(121,1),(124,1)}
       130:{3,6}:{(122,1),(123,1)}
       131:{3,4,7}:{(123,1),(124,1),(126,1),(134,1),(135,1)}
       132:{1,4,6}:{(125,1),(126,1),(135,1),(136,1)}
       133:{2,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{2,4,7}:{(128,1),(129,1),(131,1),(137,1)}
       135:{3,4,6}:{(130,1),(131,1),(132,1),(137,1),(138,1)}
       136:{1,4,5}:{(132,1),(138,1)}
       137:{2,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1516 :   0:{1,2,3,6}:{(3,1),(5,1),(6,1),(81,1),(88,1)}
         1:{1,3,4,6}:{(6,1),(7,1),(8,1),(31,1),(38,1),(46,1),(86,1),(88,1)}
         2:{1,4,5,6}:{(9,1),(10,1),(38,1),(94,1),(96,1)}
         3:{1,2,3,5}:{(0,1),(11,1),(14,1),(21,1),(53,1),(58,1)}
         4:{3,4,5}:{(15,1),(16,1),(18,1),(58,1)}
         5:{1,2,3,7}:{(0,1),(20,1),(112,1),(120,1),(163,1)}
         6:{1,2,4,6}:{(0,1),(1,1),(14,1),(19,1),(20,1),(21,1),(71,1)}
         7:{1,3,4,7}:{(1,1),(20,1),(23,1),(57,1),(65,1),(120,1),(165,1)}
         8:{1,3,5}:{(1,1),(16,1),(21,1),(58,1),(118,1)}
         9:{3,5,6}:{(2,1),(18,1),(22,1),(25,1)}
        10:{1,4,5,7}:{(2,1),(25,1),(26,1),(65,1),(125,1),(126,1)}
        11:{1,2,3}:{(28,1)}
        12:{2,3,4}:{(28,1),(30,1),(31,1)}
        13:{1,2,3,5,7}:{(3,1),(5,1),(27,1),(32,1),(33,1),(43,1),(78,1),(80,1),(87,1),(89,1)}
        14:{1,2,4}:{(3,1),(31,1)}
        15:{2,4,5}:{(4,1),(30,1),(36,1)}
        16:{1,4,5}:{(4,1),(8,1),(38,1),(147,1)}
        17:{3,4,5,7}:{(4,1),(35,1),(37,1),(39,1),(40,1),(87,1),(97,1),(141,1),(147,1),(194,1),(198,1)}
        18:{3,4,6}:{(4,1),(9,1),(36,1),(38,1),(40,1),(88,1)}
        19:{2,3,4,6}:{(6,1),(31,1),(41,1),(42,1),(86,1),(88,1),(99,1),(100,1)}
        20:{1,2,4,7}:{(5,1),(6,1),(7,1),(41,1),(43,1),(188,1)}
        21:{1,2,5}:{(6,1),(8,1),(42,1)}
        22:{2,5,6}:{(9,1),(36,1),(45,1)}
        23:{1,3,5,7}:{(7,1),(8,1),(37,1),(43,1),(46,1),(87,1),(190,1),(221,1)}
        24:{1,3,5,6}:{(8,1),(9,1),(38,1),(44,1),(46,1),(47,1),(88,1),(94,1),(148,1)}
        25:{3,5,7}:{(9,1),(10,1),(40,1),(45,1),(48,1)}
        26:{1,4,6,7}:{(10,1),(48,1),(49,1),(104,1)}
        27:{1,2,3,7}:{(11,1),(51,1),(52,1),(210,1),(227,1)}
        28:{1,2,4}:{(11,1),(12,1),(50,1),(53,1)}
        29:{2,3,4,7}:{(12,1),(52,1),(54,1),(55,1),(57,1),(171,1),(210,1)}
        30:{2,3,5}:{(12,1),(15,1),(53,1),(56,1),(58,1)}
        31:{3,4}:{(14,1),(58,1)}
        32:{1,2,3,6}:{(13,1),(59,1),(71,1),(111,1),(119,1)}
        33:{1,2,4,7}:{(13,1),(14,1),(57,1),(59,1),(109,1)}
        34:{1,2,4,5}:{(14,1),(15,1),(16,1),(21,1),(53,1),(58,1),(61,1),(68,1),(105,1)}
        35:{2,4,5,7}:{(15,1),(17,1),(55,1),(62,1),(63,1),(113,1),(124,1),(171,1)}
        36:{2,4,6}:{(15,1),(18,1),(22,1),(56,1),(63,1)}
        37:{1,4,5,7}:{(16,1),(17,1),(23,1),(64,1),(65,1),(125,1),(169,1),(211,1)}
        38:{1,4,6}:{(16,1),(18,1),(24,1),(65,1),(175,1)}
        39:{3,4,6}:{(17,1),(62,1),(64,1),(66,1),(119,1),(175,1)}
        40:{3,4,7}:{(18,1),(25,1),(63,1),(65,1),(120,1)}
        41:{2,3,4,7}:{(19,1),(20,1),(57,1),(69,1),(120,1),(129,1),(164,1)}
        42:{2,3,5}:{(19,1),(21,1),(58,1),(68,1),(118,1)}
        43:{1,2,5,7}:{(20,1),(21,1),(23,1),(69,1),(71,1),(207,1),(227,1)}
        44:{1,2,5,6}:{(21,1),(22,1),(24,1),(61,1),(70,1),(71,1),(72,1),(157,1)}
        45:{2,5,7}:{(22,1),(25,1),(63,1),(73,1)}
        46:{1,3,6}:{(23,1),(64,1),(71,1),(119,1)}
        47:{1,3,5,7}:{(24,1),(25,1),(65,1),(72,1),(74,1),(120,1),(125,1),(176,1)}
        48:{3,6,7}:{(25,1),(26,1),(73,1)}
        49:{1,5,6,7}:{(26,1),(75,1),(125,1),(181,1)}
        50:{1,3,4}:{(28,1),(31,1),(77,1)}
        51:{1,2,3,6}:{(27,1),(78,1),(79,1),(191,1),(219,1)}
        52:{1,2,4,7}:{(27,1),(28,1),(29,1),(76,1),(79,1),(80,1)}
        53:{1,2,5}:{(28,1),(30,1),(77,1),(81,1)}
        54:{2,3,4,6}:{(29,1),(79,1),(82,1),(83,1),(86,1),(137,1),(142,1),(191,1)}
        55:{2,3,5,7}:{(29,1),(30,1),(35,1),(80,1),(82,1),(83,1),(84,1),(87,1)}
        56:{2,3,6}:{(30,1),(36,1),(81,1),(84,1),(88,1)}
        57:{3,4,7}:{(31,1),(33,1),(86,1),(87,1),(137,1),(198,1)}
        58:{3,5}:{(31,1),(34,1),(88,1)}
        59:{1,2,4,6}:{(32,1),(33,1),(86,1),(89,1)}
        60:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(37,1),(43,1),(80,1),(87,1),(89,1),(90,1),(91,1),(98,1),(132,1),(138,1),(147,1),(150,1),(192,1),(198,1)}
        61:{1,2,4,6}:{(34,1),(36,1),(38,1),(44,1),(81,1),(88,1),(91,1),(99,1),(133,1)}
        62:{2,4,6}:{(35,1),(39,1),(83,1),(92,1)}
        63:{2,4,7}:{(36,1),(40,1),(45,1),(84,1)}
        64:{1,4,6}:{(37,1),(39,1),(46,1),(94,1)}
        65:{1,4,7}:{(38,1),(40,1),(47,1),(198,1)}
        66:{3,5,6}:{(39,1),(92,1),(94,1),(96,1),(97,1)}
        67:{3,4,6,7}:{(39,1),(40,1),(48,1),(93,1),(95,1),(97,1),(104,1),(149,1),(156,1),(194,1),(198,1)}
        68:{2,4,5}:{(42,1),(85,1),(99,1),(147,1)}
        69:{2,3,5,7}:{(41,1),(42,1),(43,1),(87,1),(98,1),(100,1),(189,1),(220,1)}
        70:{2,3,5,6}:{(42,1),(44,1),(88,1),(99,1),(100,1),(101,1),(144,1),(148,1),(154,1)}
        71:{1,2,6}:{(43,1),(46,1),(100,1)}
        72:{1,2,5,7}:{(44,1),(45,1),(47,1),(91,1),(101,1),(102,1),(182,1)}
        73:{2,6,7}:{(45,1),(48,1)}
        74:{1,3,6,7}:{(46,1),(47,1),(48,1),(95,1),(102,1),(149,1),(221,1)}
        75:{3,5,6,7}:{(48,1),(49,1),(97,1),(103,1),(104,1),(156,1)}
        76:{1,3,4,7}:{(50,1),(52,1),(57,1),(106,1),(107,1),(206,1),(210,1)}
        77:{1,3,5}:{(50,1),(53,1),(58,1),(105,1),(108,1)}
        78:{1,2,3,5}:{(51,1),(109,1),(110,1),(163,1),(166,1),(207,1)}
        79:{1,2,4,6}:{(51,1),(52,1),(54,1),(106,1),(109,1),(110,1),(111,1)}
        80:{1,2,5,7}:{(52,1),(53,1),(55,1),(107,1),(110,1),(111,1),(112,1)}
        81:{1,2,6}:{(53,1),(56,1),(108,1),(112,1)}
        82:{2,3,5}:{(54,1),(110,1),(113,1),(118,1),(166,1)}
        83:{2,3,6}:{(55,1),(62,1),(111,1),(119,1)}
        84:{2,3,7}:{(56,1),(63,1),(112,1),(120,1)}
        85:{3,4,5}:{(58,1),(68,1),(105,1),(117,1)}
        86:{3,4,6}:{(57,1),(59,1),(118,1),(119,1),(175,1)}
        87:{3,5,7}:{(57,1),(58,1),(60,1),(118,1),(119,1),(120,1),(166,1),(210,1)}
        88:{3,6}:{(58,1),(61,1),(120,1)}
        89:{1,2,5}:{(59,1),(118,1)}
        90:{1,2,4,6}:{(60,1),(62,1),(64,1),(71,1),(111,1),(119,1),(121,1),(128,1),(158,1),(175,1)}
        91:{1,2,4,7}:{(61,1),(63,1),(65,1),(72,1),(112,1),(120,1),(129,1),(159,1)}
        92:{2,5,6}:{(62,1),(66,1),(124,1)}
        93:{2,4,6,7}:{(62,1),(63,1),(67,1),(73,1),(115,1),(124,1),(171,1)}
        94:{1,5,6}:{(64,1),(66,1),(125,1)}
        95:{1,4,6,7}:{(64,1),(65,1),(67,1),(74,1),(125,1),(181,1),(211,1)}
        96:{4,5,6}:{(66,1),(126,1),(175,1)}
        97:{3,5,7}:{(66,1),(67,1),(124,1),(125,1),(126,1)}
        98:{2,4,5,7}:{(68,1),(69,1),(116,1),(128,1),(129,1),(180,1),(204,1),(226,1)}
        99:{2,4,6}:{(68,1),(70,1),(117,1),(129,1),(175,1)}
       100:{2,3,6}:{(69,1),(71,1),(119,1),(128,1)}
       101:{2,3,5,7}:{(70,1),(72,1),(120,1),(129,1),(130,1),(172,1),(176,1),(180,1)}
       102:{1,2,6,7}:{(71,1),(72,1),(73,1),(74,1),(130,1),(201,1),(227,1)}
       103:{2,5,6,7}:{(73,1),(75,1),(124,1),(131,1)}
       104:{4,6,7}:{(75,1),(126,1)}
       105:{1,4,5}:{(77,1),(85,1),(133,1)}
       106:{1,3,4,6}:{(76,1),(79,1),(86,1),(134,1),(135,1),(137,1),(186,1),(191,1)}
       107:{1,3,5,7}:{(76,1),(77,1),(80,1),(87,1),(132,1),(134,1),(135,1),(136,1)}
       108:{1,3,6}:{(77,1),(81,1),(88,1),(133,1),(136,1)}
       109:{1,2,4}:{(78,1),(137,1)}
       110:{1,2,5}:{(79,1),(82,1),(134,1)}
       111:{1,2,6}:{(80,1),(83,1),(135,1)}
       112:{1,2,7}:{(81,1),(84,1),(136,1)}
       113:{2,4,5}:{(82,1),(141,1),(142,1),(147,1)}
       114:{2,3,5,6}:{(82,1),(83,1),(92,1),(139,1),(142,1),(143,1),(148,1),(151,1),(191,1)}
       115:{2,3,6,7}:{(83,1),(84,1),(93,1),(140,1),(143,1),(149,1),(156,1)}
       116:{3,4,5,7}:{(85,1),(87,1),(98,1),(132,1),(145,1),(146,1),(147,1),(185,1),(197,1),(198,1),(218,1)}
       117:{3,4,6}:{(85,1),(88,1),(99,1),(133,1),(144,1),(146,1)}
       118:{3,5}:{(86,1),(89,1),(147,1)}
       119:{3,6}:{(87,1),(90,1)}
       120:{3,7}:{(88,1),(91,1)}
       121:{1,2,5,6}:{(89,1),(90,1),(92,1),(94,1),(148,1),(150,1),(154,1),(183,1)}
       122:{1,2,4,6,7}:{(90,1),(91,1),(93,1),(95,1),(102,1),(140,1),(149,1),(150,1),(155,1),(184,1),(192,1),(198,1)}
       123:{2,4,5,6}:{(92,1),(96,1),(142,1),(151,1),(152,1)}
       124:{2,5,7}:{(92,1),(93,1),(97,1)}
       125:{1,5,7}:{(94,1),(95,1),(97,1)}
       126:{4,5,7}:{(96,1),(97,1),(104,1),(198,1)}
       127:{2,4,5,6}:{(99,1),(144,1),(153,1),(154,1),(196,1)}
       128:{2,4,6}:{(98,1),(100,1),(145,1),(154,1)}
       129:{2,4,7}:{(99,1),(101,1),(146,1),(198,1)}
       130:{2,3,6,7}:{(100,1),(101,1),(102,1),(149,1),(155,1),(195,1),(220,1)}
       131:{2,4,6,7}:{(103,1),(104,1),(152,1),(156,1)}
       132:{1,4,5,7}:{(105,1),(107,1),(116,1),(158,1),(159,1),(160,1),(203,1),(206,1)}
       133:{1,4,6}:{(105,1),(108,1),(117,1),(157,1),(159,1)}
       134:{1,3,5}:{(106,1),(110,1),(118,1),(160,1),(166,1)}
       135:{1,3,6}:{(107,1),(111,1),(119,1),(158,1)}
       136:{1,3,7}:{(108,1),(112,1),(120,1),(159,1)}
       137:{3,4}:{(109,1),(166,1)}
       138:{1,2,4,5}:{(109,1),(110,1),(113,1),(160,1),(166,1),(167,1),(169,1),(204,1),(207,1)}
       139:{1,2,5,6}:{(110,1),(111,1),(114,1),(161,1),(167,1),(168,1),(177,1),(224,1)}
       140:{1,2,6,7}:{(111,1),(112,1),(115,1),(162,1),(168,1),(181,1),(230,1)}
       141:{3,4,5}:{(113,1),(166,1),(169,1),(170,1)}
       142:{2,4,6}:{(113,1),(114,1),(170,1),(171,1),(175,1)}
       143:{2,3,5,7}:{(114,1),(115,1),(124,1),(168,1),(171,1),(176,1),(178,1),(210,1)}
       144:{3,5,6}:{(117,1),(127,1),(157,1),(172,1)}
       145:{3,4,6}:{(116,1),(119,1),(128,1),(158,1),(173,1),(175,1)}
       146:{3,4,7}:{(117,1),(120,1),(129,1),(159,1),(172,1)}
       147:{4,5}:{(118,1),(175,1)}
       148:{3,5,6}:{(118,1),(119,1),(121,1),(175,1),(176,1)}
       149:{3,6,7}:{(119,1),(120,1),(122,1),(176,1),(210,1)}
       150:{1,2,5,7}:{(121,1),(122,1),(124,1),(125,1),(176,1),(180,1),(203,1)}
       151:{3,5,6}:{(123,1),(170,1),(177,1),(178,1)}
       152:{2,4,5,7}:{(123,1),(124,1),(126,1),(131,1),(171,1),(178,1)}
       153:{2,4,5,7}:{(127,1),(129,1),(172,1),(179,1),(180,1),(213,1)}
       154:{2,5,6}:{(128,1),(173,1),(180,1)}
       155:{2,4,6,7}:{(128,1),(129,1),(130,1),(174,1),(180,1),(226,1),(230,1)}
       156:{3,6,7}:{(131,1),(178,1),(181,1)}
       157:{1,5,6}:{(133,1),(144,1),(182,1)}
       158:{1,4,6}:{(132,1),(135,1),(145,1),(183,1)}
       159:{1,4,7}:{(133,1),(136,1),(146,1),(182,1)}
       160:{1,4,5}:{(134,1),(147,1),(185,1),(186,1)}
       161:{1,3,5,6}:{(134,1),(135,1),(139,1),(148,1),(183,1),(186,1),(187,1),(191,1),(215,1)}
       162:{1,3,6,7}:{(135,1),(136,1),(140,1),(149,1),(184,1),(187,1),(228,1)}
       163:{1,2,3}:{(188,1)}
       164:{2,3,4}:{(137,1),(188,1),(189,1)}
       165:{1,3,4}:{(137,1),(188,1),(190,1)}
       166:{3,5}:{(137,1),(138,1),(191,1)}
       167:{1,2,4,6}:{(138,1),(139,1),(142,1),(186,1),(191,1),(192,1),(193,1),(217,1),(219,1)}
       168:{1,2,5,7}:{(139,1),(140,1),(143,1),(187,1),(192,1),(199,1),(229,1)}
       169:{1,4,5}:{(141,1),(190,1),(193,1)}
       170:{3,4,6}:{(141,1),(142,1),(151,1),(191,1),(193,1),(194,1)}
       171:{2,4,7}:{(142,1),(143,1),(194,1),(198,1)}
       172:{3,5,7}:{(144,1),(146,1),(153,1),(182,1),(195,1)}
       173:{3,5,6}:{(145,1),(154,1),(183,1),(196,1),(197,1)}
       174:{3,4,6,7}:{(145,1),(146,1),(149,1),(155,1),(184,1),(195,1),(197,1),(198,1),(218,1),(222,1),(228,1)}
       175:{4,6}:{(147,1),(148,1),(198,1)}
       176:{3,5,7}:{(148,1),(149,1),(150,1),(198,1)}
       177:{1,5,6}:{(151,1),(193,1),(199,1)}
       178:{3,5,7}:{(151,1),(152,1),(156,1),(194,1),(199,1)}
       179:{2,4,6,7}:{(153,1),(195,1),(200,1),(222,1)}
       180:{2,5,7}:{(154,1),(155,1),(197,1)}
       181:{1,6,7}:{(156,1),(199,1)}
       182:{1,5,7}:{(157,1),(159,1),(172,1),(201,1)}
       183:{1,5,6}:{(158,1),(173,1),(203,1)}
       184:{1,4,6,7}:{(158,1),(159,1),(162,1),(174,1),(201,1),(203,1),(206,1)}
       185:{3,4,5}:{(160,1),(166,1),(204,1),(205,1)}
       186:{1,4,6}:{(160,1),(161,1),(175,1),(205,1),(206,1)}
       187:{1,3,5,7}:{(161,1),(162,1),(168,1),(176,1),(203,1),(206,1),(210,1),(225,1)}
       188:{1,2,4}:{(163,1),(164,1),(165,1),(207,1)}
       189:{2,3,5}:{(164,1),(166,1),(204,1),(207,1),(208,1)}
       190:{1,3,5}:{(165,1),(166,1),(169,1),(207,1),(209,1)}
       191:{3,6}:{(166,1),(167,1),(210,1)}
       192:{1,2,4,7}:{(167,1),(168,1),(171,1),(206,1),(210,1),(211,1),(226,1),(227,1)}
       193:{1,4,6}:{(169,1),(170,1),(177,1),(209,1),(211,1)}
       194:{3,4,7}:{(170,1),(171,1),(178,1),(210,1),(211,1)}
       195:{3,6,7}:{(172,1),(179,1),(201,1)}
       196:{4,5,6}:{(173,1),(175,1),(213,1)}
       197:{3,5,7}:{(173,1),(174,1),(180,1),(203,1),(213,1)}
       198:{4,7}:{(175,1),(176,1)}
       199:{1,5,7}:{(177,1),(178,1),(181,1),(211,1)}
       200:{2,5,6,7}:{(179,1),(180,1),(212,1),(230,1)}
       201:{1,6,7}:{(182,1),(195,1)}
       202:{1,4,5,6}:{(183,1),(186,1),(196,1),(215,1),(216,1)}
       203:{1,5,7}:{(183,1),(184,1),(197,1)}
       204:{2,4,5}:{(185,1),(189,1),(217,1)}
       205:{3,4,6}:{(185,1),(186,1),(191,1),(215,1),(217,1),(218,1)}
       206:{1,4,7}:{(186,1),(187,1),(198,1),(218,1)}
       207:{1,2,5}:{(188,1),(189,1),(190,1),(219,1)}
       208:{2,3,6}:{(189,1),(191,1),(217,1),(219,1),(220,1)}
       209:{1,3,6}:{(190,1),(191,1),(193,1),(219,1),(221,1)}
       210:{3,7}:{(191,1),(192,1)}
       211:{1,4,7}:{(193,1),(194,1),(199,1),(221,1)}
       212:{3,5,6,7}:{(195,1),(197,1),(200,1),(214,1),(222,1),(228,1)}
       213:{4,5,7}:{(196,1),(197,1),(198,1),(222,1)}
       214:{1,5,6,7}:{(201,1),(203,1),(212,1),(223,1)}
       215:{3,5,6}:{(202,1),(205,1),(224,1),(225,1)}
       216:{1,4,5,7}:{(202,1),(203,1),(206,1),(213,1),(223,1),(225,1)}
       217:{2,4,6}:{(204,1),(205,1),(208,1),(224,1),(226,1)}
       218:{3,4,7}:{(205,1),(206,1),(210,1),(225,1),(226,1)}
       219:{1,2,6}:{(207,1),(208,1),(209,1),(227,1)}
       220:{2,3,7}:{(208,1),(210,1),(226,1),(227,1)}
       221:{1,3,7}:{(209,1),(210,1),(211,1),(227,1)}
       222:{4,6,7}:{(212,1),(213,1)}
       223:{1,4,6,7}:{(214,1),(216,1),(222,1),(228,1)}
       224:{2,5,6}:{(215,1),(217,1),(229,1)}
       225:{3,5,7}:{(215,1),(216,1),(218,1),(228,1),(229,1)}
       226:{2,4,7}:{(217,1),(218,1),(220,1),(229,1)}
       227:{1,2,7}:{(219,1),(220,1),(221,1)}
       228:{3,6,7}:{(223,1),(225,1),(230,1)}
       229:{2,5,7}:{(224,1),(225,1),(226,1),(230,1)}
       230:{2,6,7}:{(228,1),(229,1)}

1517 :   0:{1,4,5,6}:{(5,1),(6,1),(27,1),(33,1),(82,1)}
         1:{1,3,4,6}:{(4,1),(7,1),(8,1),(33,1),(37,1),(89,1),(90,1),(138,1),(142,1)}
         2:{3,4,5}:{(12,1),(13,1),(14,1),(61,1)}
         3:{1,5,6,7}:{(10,1),(15,1),(105,1),(112,1)}
         4:{1,3,4,7}:{(1,1),(16,1),(17,1),(58,1),(96,1),(117,1),(118,1),(160,1)}
         5:{1,4,5,7}:{(0,1),(15,1),(18,1),(52,1),(58,1),(112,1)}
         6:{3,5,6}:{(0,1),(12,1),(18,1),(20,1)}
         7:{1,3,5}:{(1,1),(13,1),(21,1),(61,1),(161,1),(165,1)}
         8:{1,2,4,6}:{(1,1),(17,1),(21,1),(22,1),(64,1),(68,1),(121,1)}
         9:{2,3,4}:{(25,1),(26,1),(90,1)}
        10:{3,5,6,7}:{(3,1),(23,1),(28,1),(36,1),(74,1),(81,1)}
        11:{3,4,5,7}:{(2,1),(29,1),(30,1),(31,1),(32,1),(69,1),(81,1),(87,1),(126,1),(180,1),(181,1)}
        12:{3,4,6}:{(2,1),(6,1),(32,1),(33,1),(34,1),(89,1)}
        13:{1,4,5}:{(2,1),(7,1),(33,1),(181,1)}
        14:{2,4,5}:{(2,1),(25,1),(34,1)}
        15:{1,4,6,7}:{(3,1),(5,1),(28,1),(36,1)}
        16:{1,3,5,7}:{(4,1),(7,1),(30,1),(37,1),(38,1),(87,1),(124,1),(169,1),(179,1)}
        17:{1,2,4,7}:{(4,1),(8,1),(38,1),(39,1),(93,1),(125,1)}
        18:{3,5,7}:{(5,1),(6,1),(32,1),(36,1),(41,1)}
        19:{1,3,5,6}:{(6,1),(7,1),(33,1),(37,1),(40,1),(42,1),(82,1),(89,1),(140,1)}
        20:{2,5,6}:{(6,1),(34,1),(41,1)}
        21:{1,2,5}:{(7,1),(8,1),(43,1),(146,1)}
        22:{2,3,6}:{(8,1),(39,1),(43,1),(89,1)}
        23:{2,5,6,7}:{(10,1),(46,1),(63,1),(113,1)}
        24:{2,3,4,7}:{(9,1),(45,1),(47,1),(48,1),(117,1),(152,1),(188,1),(203,1)}
        25:{2,3,5}:{(9,1),(14,1),(49,1),(50,1),(61,1)}
        26:{1,2,4}:{(9,1),(50,1),(51,1),(111,1)}
        27:{4,5,6}:{(52,1),(53,1),(163,1)}
        28:{4,6,7}:{(10,1),(52,1)}
        29:{3,4,6}:{(11,1),(53,1),(55,1),(56,1),(116,1),(163,1)}
        30:{1,4,5,7}:{(11,1),(13,1),(16,1),(55,1),(58,1),(98,1),(112,1),(151,1)}
        31:{2,4,5,7}:{(11,1),(14,1),(47,1),(56,1),(59,1),(99,1),(113,1),(152,1)}
        32:{3,4,7}:{(12,1),(18,1),(58,1),(59,1),(118,1)}
        33:{1,4,6}:{(12,1),(13,1),(19,1),(58,1),(163,1)}
        34:{2,4,6}:{(12,1),(14,1),(20,1),(49,1),(59,1)}
        35:{1,2,4,5}:{(13,1),(14,1),(21,1),(50,1),(60,1),(61,1),(68,1),(111,1),(123,1),(161,1)}
        36:{3,6,7}:{(15,1),(18,1),(63,1)}
        37:{1,3,6}:{(16,1),(55,1),(64,1),(116,1),(193,1)}
        38:{1,2,5,7}:{(16,1),(17,1),(21,1),(64,1),(65,1),(149,1),(185,1)}
        39:{2,3,7}:{(17,1),(22,1),(118,1),(150,1)}
        40:{1,3,5,7}:{(18,1),(19,1),(58,1),(62,1),(66,1),(112,1),(118,1),(162,1)}
        41:{2,5,7}:{(18,1),(20,1),(59,1),(63,1)}
        42:{1,2,5,6}:{(19,1),(20,1),(21,1),(60,1),(64,1),(66,1),(67,1),(161,1),(193,1)}
        43:{2,3,5}:{(21,1),(22,1),(61,1),(68,1)}
        44:{2,4,5,6}:{(27,1),(70,1),(71,1),(83,1),(128,1)}
        45:{2,3,4,6}:{(24,1),(72,1),(73,1),(75,1),(128,1),(142,1),(173,1),(174,1),(197,1)}
        46:{2,4,6,7}:{(23,1),(28,1),(70,1),(74,1)}
        47:{2,3,5,7}:{(24,1),(25,1),(31,1),(72,1),(75,1),(76,1),(78,1),(87,1),(207,1)}
        48:{1,2,4,7}:{(24,1),(26,1),(73,1),(76,1),(77,1),(136,1)}
        49:{2,3,6}:{(25,1),(34,1),(78,1),(79,1),(89,1)}
        50:{1,2,5}:{(25,1),(26,1),(79,1),(80,1)}
        51:{1,3}:{(26,1)}
        52:{4,5,7}:{(27,1),(28,1),(81,1),(180,1)}
        53:{3,5,6}:{(27,1),(29,1),(81,1),(82,1),(83,1)}
        54:{3,4,6,7}:{(28,1),(29,1),(32,1),(36,1),(74,1),(81,1),(84,1),(85,1),(126,1),(141,1),(180,1)}
        55:{1,4,6}:{(29,1),(30,1),(37,1),(82,1)}
        56:{2,4,6}:{(29,1),(31,1),(75,1),(83,1)}
        57:{1,2,4,5,7}:{(30,1),(31,1),(35,1),(38,1),(76,1),(86,1),(87,1),(88,1),(93,1),(129,1),(136,1),(139,1),(146,1),(147,1),(172,1),(178,1),(179,1),(180,1),(181,1),(200,1),(207,1)}
        58:{1,4,7}:{(32,1),(33,1),(40,1),(180,1)}
        59:{2,4,7}:{(32,1),(34,1),(41,1),(78,1)}
        60:{1,2,4,6}:{(33,1),(34,1),(35,1),(42,1),(79,1),(88,1),(89,1),(95,1),(138,1)}
        61:{3,5}:{(35,1),(89,1),(90,1)}
        62:{1,3,6,7}:{(36,1),(37,1),(40,1),(84,1),(91,1),(141,1),(169,1)}
        63:{2,6,7}:{(36,1),(41,1)}
        64:{1,2,6}:{(37,1),(38,1),(92,1)}
        65:{2,3,5,7}:{(38,1),(39,1),(43,1),(87,1),(92,1),(93,1),(146,1),(171,1),(196,1),(207,1)}
        66:{1,2,5,7}:{(40,1),(41,1),(42,1),(88,1),(91,1),(94,1),(179,1)}
        67:{2,3,5,6}:{(42,1),(43,1),(89,1),(92,1),(94,1),(95,1),(140,1),(144,1),(146,1),(183,1),(184,1)}
        68:{2,4}:{(43,1),(90,1)}
        69:{3,4,5}:{(97,1),(98,1),(99,1),(154,1)}
        70:{2,4,5,7}:{(44,1),(46,1),(52,1),(100,1),(113,1),(152,1)}
        71:{3,5,6}:{(44,1),(97,1),(100,1),(101,1)}
        72:{2,3,5}:{(45,1),(99,1),(103,1),(154,1),(165,1),(204,1)}
        73:{1,2,4,6}:{(45,1),(48,1),(103,1),(104,1),(107,1),(157,1),(159,1)}
        74:{3,6,7}:{(46,1),(100,1),(105,1)}
        75:{2,3,6}:{(47,1),(56,1),(107,1),(116,1),(209,1)}
        76:{1,2,5,7}:{(47,1),(48,1),(50,1),(103,1),(107,1),(108,1),(109,1)}
        77:{1,3,7}:{(48,1),(51,1),(104,1),(188,1)}
        78:{2,3,7}:{(49,1),(59,1),(109,1),(118,1)}
        79:{1,2,6}:{(49,1),(50,1),(109,1),(110,1)}
        80:{1,3,5}:{(50,1),(51,1),(61,1),(110,1),(111,1),(161,1)}
        81:{3,5,7}:{(52,1),(53,1),(54,1),(112,1),(113,1)}
        82:{1,5,6}:{(53,1),(55,1),(112,1)}
        83:{2,5,6}:{(53,1),(56,1),(113,1)}
        84:{1,4,6,7}:{(54,1),(55,1),(58,1),(62,1),(105,1),(112,1),(151,1)}
        85:{2,4,6,7}:{(54,1),(56,1),(59,1),(63,1),(106,1),(113,1),(152,1)}
        86:{1,2,4,6}:{(55,1),(56,1),(57,1),(64,1),(107,1),(114,1),(116,1),(121,1),(159,1),(163,1),(168,1),(193,1),(206,1),(209,1)}
        87:{3,5,7}:{(57,1),(61,1),(116,1),(117,1),(118,1),(154,1),(165,1),(188,1)}
        88:{1,2,4,7}:{(58,1),(59,1),(60,1),(66,1),(109,1),(118,1),(122,1),(160,1)}
        89:{3,6}:{(60,1),(61,1),(118,1)}
        90:{3,4}:{(61,1),(68,1),(111,1)}
        91:{1,2,6,7}:{(62,1),(63,1),(64,1),(66,1),(120,1),(185,1),(193,1)}
        92:{2,3,6}:{(64,1),(65,1),(116,1),(121,1),(209,1)}
        93:{2,4,7}:{(65,1),(68,1),(117,1),(121,1),(187,1)}
        94:{2,3,5,7}:{(66,1),(67,1),(118,1),(120,1),(122,1),(162,1),(166,1),(167,1)}
        95:{2,4,6}:{(67,1),(68,1),(119,1),(122,1),(123,1),(163,1)}
        96:{1,3,4}:{(124,1),(125,1),(174,1)}
        97:{3,4,6}:{(69,1),(71,1),(126,1),(127,1),(128,1),(173,1)}
        98:{1,4,5}:{(69,1),(124,1),(127,1)}
        99:{2,4,5}:{(69,1),(72,1),(128,1),(181,1)}
       100:{3,5,7}:{(70,1),(71,1),(74,1),(126,1),(130,1)}
       101:{1,5,6}:{(71,1),(127,1),(130,1)}
       102:{2,3,5,6}:{(71,1),(72,1),(75,1),(83,1),(128,1),(131,1),(132,1),(140,1),(173,1)}
       103:{1,2,5}:{(72,1),(73,1),(133,1),(178,1)}
       104:{1,3,6}:{(73,1),(77,1),(133,1),(173,1)}
       105:{1,6,7}:{(74,1),(130,1)}
       106:{2,3,6,7}:{(74,1),(75,1),(78,1),(85,1),(131,1),(134,1),(141,1)}
       107:{1,2,6}:{(75,1),(76,1),(135,1)}
       108:{1,3,5,7}:{(76,1),(77,1),(80,1),(87,1),(133,1),(135,1),(136,1),(137,1),(178,1),(179,1)}
       109:{1,2,7}:{(78,1),(79,1),(137,1)}
       110:{1,3,6}:{(79,1),(80,1),(89,1),(137,1),(138,1)}
       111:{1,4}:{(80,1),(90,1)}
       112:{1,5,7}:{(81,1),(82,1),(84,1)}
       113:{2,5,7}:{(81,1),(83,1),(85,1)}
       114:{1,2,5,6}:{(82,1),(83,1),(86,1),(139,1),(140,1),(146,1),(178,1),(184,1),(201,1)}
       115:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(134,1),(139,1),(141,1),(145,1),(172,1),(177,1),(180,1)}
       116:{3,6}:{(86,1),(87,1)}
       117:{3,4,7}:{(87,1),(90,1),(93,1),(136,1),(142,1),(174,1),(180,1)}
       118:{3,7}:{(88,1),(89,1)}
       119:{3,4,6}:{(89,1),(90,1),(95,1),(138,1),(143,1),(144,1),(183,1)}
       120:{2,3,6,7}:{(91,1),(92,1),(94,1),(141,1),(145,1),(183,1),(196,1)}
       121:{2,4,6}:{(92,1),(93,1),(142,1),(146,1)}
       122:{2,4,7}:{(94,1),(95,1),(143,1),(180,1)}
       123:{2,4,5}:{(95,1),(144,1),(146,1),(181,1)}
       124:{1,3,5}:{(96,1),(98,1),(148,1),(149,1),(154,1)}
       125:{1,2,4}:{(96,1),(149,1),(150,1),(187,1)}
       126:{3,4,7}:{(97,1),(100,1),(151,1),(152,1),(188,1)}
       127:{1,4,6}:{(97,1),(98,1),(101,1),(148,1),(151,1)}
       128:{2,4,6}:{(97,1),(99,1),(102,1),(152,1),(163,1)}
       129:{1,2,4,5}:{(98,1),(99,1),(103,1),(149,1),(153,1),(154,1),(157,1),(187,1),(191,1),(204,1)}
       130:{1,5,7}:{(100,1),(101,1),(105,1),(151,1)}
       131:{2,3,5,7}:{(100,1),(102,1),(106,1),(113,1),(152,1),(155,1),(162,1),(188,1)}
       132:{1,2,5,6}:{(101,1),(102,1),(103,1),(107,1),(153,1),(155,1),(156,1),(204,1),(209,1)}
       133:{1,3,5}:{(103,1),(104,1),(154,1),(157,1)}
       134:{1,2,6,7}:{(105,1),(106,1),(107,1),(109,1),(155,1),(158,1),(209,1)}
       135:{1,3,6}:{(107,1),(108,1),(116,1),(159,1),(193,1)}
       136:{1,4,7}:{(108,1),(111,1),(117,1),(157,1),(159,1)}
       137:{1,3,7}:{(109,1),(110,1),(118,1),(160,1)}
       138:{1,4,6}:{(110,1),(111,1),(119,1),(160,1),(161,1),(193,1)}
       139:{1,2,5,7}:{(112,1),(113,1),(114,1),(115,1),(162,1),(167,1),(192,1)}
       140:{3,5,6}:{(114,1),(116,1),(162,1),(163,1),(165,1)}
       141:{3,6,7}:{(115,1),(116,1),(118,1),(162,1),(188,1)}
       142:{3,4,6}:{(116,1),(117,1),(121,1),(159,1),(163,1),(165,1)}
       143:{3,4,7}:{(118,1),(119,1),(122,1),(160,1),(166,1)}
       144:{3,5}:{(119,1),(123,1),(161,1)}
       145:{2,4,6,7}:{(120,1),(121,1),(122,1),(164,1),(167,1),(168,1),(203,1),(209,1)}
       146:{2,5}:{(121,1),(165,1)}
       147:{2,4,5,7}:{(122,1),(123,1),(166,1),(167,1),(168,1),(194,1)}
       148:{1,3,6}:{(124,1),(127,1),(169,1),(170,1),(173,1)}
       149:{1,2,5}:{(124,1),(125,1),(170,1),(171,1)}
       150:{2,3}:{(125,1)}
       151:{1,4,7}:{(126,1),(127,1),(130,1),(169,1)}
       152:{2,4,7}:{(126,1),(128,1),(131,1),(180,1)}
       153:{1,2,4,6}:{(127,1),(128,1),(129,1),(132,1),(170,1),(172,1),(173,1),(176,1),(197,1)}
       154:{3,5}:{(129,1),(173,1),(174,1)}
       155:{1,2,5,7}:{(130,1),(131,1),(132,1),(134,1),(172,1),(175,1),(207,1)}
       156:{1,3,5,6}:{(132,1),(133,1),(135,1),(140,1),(173,1),(175,1),(176,1),(178,1),(199,1),(201,1),(208,1)}
       157:{1,4}:{(133,1),(174,1)}
       158:{1,3,6,7}:{(134,1),(135,1),(137,1),(141,1),(175,1),(177,1),(208,1)}
       159:{1,4,6}:{(135,1),(136,1),(142,1),(178,1)}
       160:{1,4,7}:{(137,1),(138,1),(143,1),(179,1)}
       161:{1,5}:{(138,1),(144,1)}
       162:{3,5,7}:{(139,1),(140,1),(141,1),(180,1)}
       163:{4,6}:{(140,1),(180,1),(181,1)}
       164:{3,4,6,7}:{(141,1),(142,1),(143,1),(145,1),(177,1),(180,1),(182,1),(183,1),(198,1),(202,1),(208,1)}
       165:{3,5}:{(142,1),(146,1),(178,1),(181,1)}
       166:{3,5,7}:{(143,1),(144,1),(147,1),(179,1),(183,1)}
       167:{2,5,7}:{(145,1),(146,1),(182,1),(184,1)}
       168:{2,4,6}:{(147,1),(183,1),(184,1),(202,1)}
       169:{1,3,7}:{(148,1),(151,1),(185,1),(188,1)}
       170:{1,2,6}:{(148,1),(149,1),(185,1),(186,1)}
       171:{2,3,5}:{(149,1),(150,1),(154,1),(186,1),(187,1),(204,1)}
       172:{1,2,4,7}:{(151,1),(152,1),(153,1),(155,1),(185,1),(188,1),(190,1),(203,1)}
       173:{3,6}:{(153,1),(154,1),(188,1)}
       174:{3,4}:{(154,1),(157,1),(187,1)}
       175:{1,3,5,7}:{(155,1),(156,1),(158,1),(162,1),(188,1),(190,1),(192,1),(205,1)}
       176:{1,4,6}:{(156,1),(157,1),(163,1),(189,1),(190,1),(191,1)}
       177:{1,4,6,7}:{(158,1),(159,1),(160,1),(164,1),(190,1),(192,1),(193,1),(206,1)}
       178:{1,5}:{(159,1),(165,1)}
       179:{1,5,7}:{(160,1),(161,1),(166,1),(193,1)}
       180:{4,7}:{(162,1),(163,1)}
       181:{4,5}:{(163,1),(165,1)}
       182:{3,5,7}:{(164,1),(165,1),(167,1),(192,1),(194,1),(195,1)}
       183:{3,6}:{(166,1),(168,1),(193,1)}
       184:{2,5,6}:{(167,1),(168,1),(195,1),(209,1)}
       185:{1,2,7}:{(169,1),(170,1),(196,1)}
       186:{2,3,6}:{(170,1),(171,1),(173,1),(196,1),(197,1)}
       187:{2,4}:{(171,1),(174,1)}
       188:{3,7}:{(172,1),(173,1)}
       189:{3,4,6}:{(173,1),(174,1),(176,1),(197,1),(198,1),(199,1),(208,1)}
       190:{1,4,7}:{(175,1),(176,1),(180,1),(198,1)}
       191:{1,4,5}:{(176,1),(178,1),(181,1),(199,1)}
       192:{1,5,7}:{(177,1),(178,1),(182,1),(201,1)}
       193:{1,6}:{(179,1),(183,1)}
       194:{4,5,7}:{(180,1),(181,1),(182,1),(202,1)}
       195:{3,5,6}:{(182,1),(183,1),(184,1),(201,1),(202,1),(208,1)}
       196:{2,3,7}:{(185,1),(186,1),(188,1),(203,1)}
       197:{2,4,6}:{(186,1),(187,1),(189,1),(203,1),(204,1),(209,1)}
       198:{3,4,7}:{(188,1),(189,1),(190,1),(203,1),(205,1)}
       199:{3,5}:{(189,1),(191,1),(204,1)}
       200:{1,4,5,7}:{(190,1),(191,1),(192,1),(194,1),(205,1),(206,1)}
       201:{1,5,6}:{(192,1),(193,1),(195,1),(206,1)}
       202:{4,6}:{(194,1),(195,1)}
       203:{2,4,7}:{(196,1),(197,1),(198,1),(207,1)}
       204:{2,5}:{(197,1),(199,1)}
       205:{3,5,7}:{(198,1),(199,1),(200,1),(207,1),(208,1)}
       206:{1,4,6}:{(200,1),(201,1),(202,1),(208,1)}
       207:{2,5,7}:{(203,1),(204,1),(205,1),(209,1)}
       208:{3,6}:{(205,1),(206,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

1518 :   0:{1,2,4,5,6}:{(2,1),(3,1),(13,1),(14,1),(18,1),(38,1),(42,1),(74,1),(75,1),(76,1),(102,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(62,1),(63,1),(87,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(24,1),(26,1),(27,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(61,1),(88,1),(101,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(15,1),(43,1),(95,1)}
         5:{3,4,6}:{(3,1),(10,1),(12,1),(13,1),(14,1),(47,1),(78,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(15,1),(44,1),(45,1),(48,1),(76,1)}
         7:{3,5,7}:{(2,1),(3,1),(12,1),(15,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(16,1),(18,1),(32,1),(47,1),(66,1),(72,1),(74,1),(93,1),(95,1),(103,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(35,1),(47,1),(68,1),(70,1),(75,1),(91,1),(95,1),(102,1)}
        10:{3,4,5}:{(5,1),(22,1),(23,1),(61,1),(101,1)}
        11:{4,6,7}:{(4,1),(24,1),(100,1)}
        12:{3,4,7}:{(5,1),(7,1),(26,1),(27,1),(65,1)}
        13:{1,4,6}:{(5,1),(8,1),(22,1),(26,1),(86,1),(100,1)}
        14:{2,4,6}:{(5,1),(9,1),(23,1),(27,1),(83,1),(100,1)}
        15:{3,6,7}:{(6,1),(7,1),(88,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(26,1),(29,1),(31,1),(62,1),(65,1),(90,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(27,1),(30,1),(31,1),(63,1),(65,1),(90,1)}
        18:{1,2,5,6}:{(8,1),(9,1),(28,1),(31,1),(50,1),(54,1),(81,1),(84,1)}
        19:{1,3,4,6}:{(13,1),(32,1),(33,1),(34,1),(47,1),(66,1),(78,1),(96,1)}
        20:{2,3,4,6}:{(14,1),(35,1),(36,1),(37,1),(47,1),(70,1),(78,1),(96,1)}
        21:{3,4,5,7}:{(10,1),(12,1),(39,1),(40,1),(41,1),(43,1),(77,1),(97,1),(104,1)}
        22:{1,4,5}:{(10,1),(13,1),(32,1),(103,1),(104,1)}
        23:{2,4,5}:{(10,1),(14,1),(35,1),(102,1),(104,1)}
        24:{4,5,7}:{(11,1),(38,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(15,1),(39,1),(43,1),(44,1),(45,1),(80,1),(96,1),(97,1)}
        26:{1,4,7}:{(12,1),(13,1),(16,1),(97,1)}
        27:{2,4,7}:{(12,1),(14,1),(17,1),(97,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(18,1),(42,1),(46,1),(47,1)}
        29:{1,3,6,7}:{(15,1),(16,1),(44,1),(48,1),(66,1),(80,1),(93,1)}
        30:{2,3,6,7}:{(15,1),(17,1),(45,1),(48,1),(70,1),(80,1),(91,1)}
        31:{1,2,5,7}:{(16,1),(17,1),(18,1),(46,1),(48,1)}
        32:{1,3,5}:{(19,1),(22,1),(50,1),(61,1),(101,1)}
        33:{1,3,4,7}:{(19,1),(26,1),(49,1),(51,1),(65,1),(89,1)}
        34:{1,2,4,6}:{(19,1),(50,1),(51,1),(52,1),(81,1),(83,1),(98,1)}
        35:{2,3,5}:{(20,1),(23,1),(54,1),(61,1),(101,1)}
        36:{2,3,4,7}:{(20,1),(27,1),(53,1),(55,1),(65,1),(89,1)}
        37:{1,2,4,6}:{(20,1),(54,1),(55,1),(56,1),(84,1),(86,1),(99,1)}
        38:{4,5,6}:{(24,1),(57,1),(100,1)}
        39:{3,4,6}:{(21,1),(57,1),(58,1),(59,1),(88,1),(100,1)}
        40:{1,4,5,7}:{(21,1),(22,1),(26,1),(49,1),(58,1),(62,1)}
        41:{2,4,5,7}:{(21,1),(23,1),(27,1),(53,1),(59,1),(63,1)}
        42:{1,2,4,5}:{(22,1),(23,1),(28,1),(50,1),(54,1),(61,1),(83,1),(86,1)}
        43:{3,5,7}:{(24,1),(25,1),(57,1),(62,1),(63,1),(101,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(58,1),(62,1),(99,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(59,1),(63,1),(98,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(28,1),(31,1),(65,1)}
        47:{3,6}:{(28,1),(61,1),(65,1)}
        48:{1,2,6,7}:{(29,1),(30,1),(31,1),(81,1),(84,1)}
        49:{1,3,5,7}:{(32,1),(33,1),(40,1),(66,1),(67,1),(77,1)}
        50:{1,2,5}:{(32,1),(34,1),(68,1),(102,1)}
        51:{1,2,4,7}:{(33,1),(34,1),(67,1),(69,1),(92,1)}
        52:{2,3,6}:{(34,1),(47,1),(68,1),(69,1)}
        53:{2,3,5,7}:{(35,1),(36,1),(41,1),(70,1),(71,1),(77,1)}
        54:{1,2,5}:{(35,1),(37,1),(72,1),(103,1)}
        55:{1,2,4,7}:{(36,1),(37,1),(71,1),(73,1),(94,1)}
        56:{1,3,6}:{(37,1),(47,1),(72,1),(73,1)}
        57:{3,5,6}:{(38,1),(39,1),(43,1),(74,1),(75,1)}
        58:{1,4,6}:{(39,1),(40,1),(66,1),(74,1)}
        59:{2,4,6}:{(39,1),(41,1),(70,1),(75,1)}
        60:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(46,1),(67,1),(71,1),(76,1),(77,1),(79,1),(92,1),(94,1),(97,1),(102,1),(103,1),(104,1)}
        61:{3,5}:{(42,1),(47,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(74,1),(103,1)}
        63:{2,5,7}:{(43,1),(45,1),(75,1),(102,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(48,1),(76,1),(79,1),(80,1),(97,1)}
        65:{3,7}:{(46,1),(47,1)}
        66:{1,3,6}:{(49,1),(58,1),(81,1),(88,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(51,1),(81,1),(82,1)}
        68:{2,3,5}:{(50,1),(52,1),(61,1),(83,1)}
        69:{2,3,7}:{(51,1),(52,1),(65,1)}
        70:{2,3,6}:{(53,1),(59,1),(84,1),(88,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(55,1),(84,1),(85,1)}
        72:{1,3,5}:{(54,1),(56,1),(61,1),(86,1)}
        73:{1,3,7}:{(55,1),(56,1),(65,1)}
        74:{1,5,6}:{(57,1),(58,1),(62,1)}
        75:{2,5,6}:{(57,1),(59,1),(63,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(81,1),(84,1),(87,1),(88,1),(98,1),(99,1),(100,1)}
        77:{3,5,7}:{(60,1),(61,1),(65,1),(88,1),(89,1),(101,1)}
        78:{3,4}:{(61,1),(83,1),(86,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(87,1),(90,1)}
        80:{3,6,7}:{(64,1),(65,1),(88,1),(90,1)}
        81:{1,2,6}:{(66,1),(67,1),(91,1)}
        82:{2,3,5,7}:{(67,1),(68,1),(69,1),(77,1),(91,1),(92,1),(102,1)}
        83:{2,4}:{(68,1),(78,1)}
        84:{1,2,6}:{(70,1),(71,1),(93,1)}
        85:{1,3,5,7}:{(71,1),(72,1),(73,1),(77,1),(93,1),(94,1),(103,1)}
        86:{1,4}:{(72,1),(78,1)}
        87:{1,2,5,6}:{(74,1),(75,1),(76,1),(79,1),(95,1),(102,1),(103,1)}
        88:{3,6}:{(76,1),(77,1)}
        89:{3,4,7}:{(77,1),(78,1),(92,1),(94,1),(96,1),(97,1)}
        90:{3,5,7}:{(79,1),(80,1),(95,1),(97,1)}
        91:{2,3,6}:{(81,1),(82,1),(88,1),(98,1)}
        92:{2,4,7}:{(82,1),(83,1),(89,1),(98,1)}
        93:{1,3,6}:{(84,1),(85,1),(88,1),(99,1)}
        94:{1,4,7}:{(85,1),(86,1),(89,1),(99,1)}
        95:{3,5,6}:{(87,1),(88,1),(90,1),(100,1),(101,1)}
        96:{3,4,6}:{(88,1),(89,1),(98,1),(99,1),(100,1),(101,1)}
        97:{4,7}:{(90,1),(100,1)}
        98:{2,4,6}:{(91,1),(92,1),(96,1),(102,1)}
        99:{1,4,6}:{(93,1),(94,1),(96,1),(103,1)}
       100:{4,6}:{(95,1),(97,1),(104,1)}
       101:{3,5}:{(96,1),(102,1),(103,1),(104,1)}
       102:{2,5}:{(98,1),(101,1)}
       103:{1,5}:{(99,1),(101,1)}
       104:{4,5}:{(100,1),(101,1)}

1519 :   0:{4,5,6,7}:{(2,1),(56,1),(225,1)}
         1:{3,4,5,6}:{(3,1),(4,1),(5,1),(28,1),(104,1),(169,1),(208,1)}
         2:{3,5,6,7}:{(0,1),(8,1),(9,1),(10,1),(219,1)}
         3:{3,4,5,7}:{(1,1),(8,1),(11,1),(12,1),(41,1),(77,1)}
         4:{1,4,5,6}:{(1,1),(11,1),(13,1),(182,1),(214,1)}
         5:{2,4,5,6}:{(1,1),(12,1),(14,1),(175,1),(211,1)}
         6:{2,3,4,5}:{(16,1),(17,1),(63,1),(90,1),(147,1)}
         7:{1,3,4,5}:{(18,1),(19,1),(63,1),(97,1),(155,1)}
         8:{3,4,6,7}:{(2,1),(3,1),(20,1),(21,1),(55,1),(56,1),(208,1)}
         9:{1,5,6,7}:{(2,1),(20,1),(223,1)}
        10:{2,5,6,7}:{(2,1),(21,1),(221,1)}
        11:{1,4,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{2,4,5,7}:{(3,1),(5,1),(21,1),(24,1)}
        13:{1,3,5,6}:{(4,1),(18,1),(23,1),(26,1),(28,1),(155,1),(201,1)}
        14:{2,3,5,6}:{(5,1),(16,1),(24,1),(27,1),(28,1),(147,1),(196,1)}
        15:{1,2,4,5,6}:{(4,1),(5,1),(25,1),(26,1),(27,1),(28,1),(61,1),(62,1),(104,1),(110,1),(162,1),(163,1),(166,1)}
        16:{2,3,4,6}:{(6,1),(14,1),(29,1),(30,1),(44,1)}
        17:{1,2,4,5}:{(6,1),(30,1),(31,1),(67,1),(84,1),(117,1)}
        18:{1,3,4,6}:{(7,1),(13,1),(32,1),(33,1),(44,1)}
        19:{1,2,4,5}:{(7,1),(33,1),(34,1),(72,1),(83,1),(125,1)}
        20:{1,4,6,7}:{(8,1),(9,1),(11,1),(35,1),(214,1)}
        21:{2,4,6,7}:{(8,1),(10,1),(12,1),(36,1),(211,1)}
        22:{1,2,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(131,1),(132,1),(187,1)}
        23:{1,3,5,7}:{(11,1),(13,1),(32,1),(35,1),(39,1),(41,1)}
        24:{2,3,5,7}:{(12,1),(14,1),(29,1),(36,1),(40,1),(41,1)}
        25:{1,2,4,5,7}:{(11,1),(12,1),(15,1),(37,1),(39,1),(40,1),(41,1),(77,1),(79,1),(80,1),(131,1),(132,1)}
        26:{1,2,5,6}:{(13,1),(33,1),(39,1),(42,1),(125,1),(180,1)}
        27:{1,2,5,6}:{(14,1),(30,1),(40,1),(43,1),(117,1),(173,1)}
        28:{3,5,6}:{(15,1),(41,1),(44,1),(140,1),(191,1)}
        29:{2,3,4,7}:{(16,1),(24,1),(45,1),(59,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(27,1),(45,1),(46,1),(62,1)}
        31:{1,3,5}:{(17,1),(46,1),(48,1)}
        32:{1,3,4,7}:{(18,1),(23,1),(49,1),(59,1)}
        33:{1,2,4,6}:{(18,1),(19,1),(26,1),(49,1),(50,1),(61,1)}
        34:{2,3,5}:{(19,1),(50,1),(52,1)}
        35:{1,3,6,7}:{(20,1),(23,1),(53,1),(55,1),(201,1)}
        36:{2,3,6,7}:{(21,1),(24,1),(54,1),(55,1),(196,1)}
        37:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(25,1),(53,1),(54,1),(55,1),(56,1),(101,1),(102,1),(166,1)}
        38:{3,5,6,7}:{(22,1),(55,1),(56,1),(103,1),(206,1)}
        39:{1,2,5,7}:{(23,1),(26,1),(49,1),(53,1),(57,1)}
        40:{1,2,5,7}:{(24,1),(27,1),(45,1),(54,1),(58,1)}
        41:{3,5,7}:{(25,1),(28,1),(55,1),(59,1)}
        42:{2,3,5,6}:{(26,1),(28,1),(50,1),(57,1),(61,1),(96,1),(154,1),(162,1)}
        43:{1,3,5,6}:{(27,1),(28,1),(46,1),(58,1),(62,1),(89,1),(146,1),(163,1)}
        44:{3,4,6}:{(28,1),(59,1),(61,1),(62,1),(63,1)}
        45:{1,2,4,7}:{(29,1),(30,1),(40,1),(64,1),(80,1)}
        46:{1,3,6}:{(30,1),(31,1),(64,1)}
        47:{1,2,3,5}:{(31,1),(65,1),(67,1),(117,1),(119,1)}
        48:{1,3,4}:{(31,1),(67,1)}
        49:{1,2,4,7}:{(32,1),(33,1),(39,1),(69,1),(79,1)}
        50:{2,3,6}:{(33,1),(34,1),(69,1)}
        51:{1,2,3,5}:{(34,1),(70,1),(72,1),(125,1),(127,1)}
        52:{2,3,4}:{(34,1),(72,1)}
        53:{1,2,6,7}:{(35,1),(39,1),(74,1),(180,1)}
        54:{1,2,6,7}:{(36,1),(40,1),(75,1),(173,1)}
        55:{3,6,7}:{(37,1),(41,1),(191,1)}
        56:{4,6,7}:{(38,1),(77,1),(217,1)}
        57:{2,3,5,7}:{(39,1),(41,1),(42,1),(69,1),(74,1),(79,1),(131,1)}
        58:{1,3,5,7}:{(40,1),(41,1),(43,1),(64,1),(75,1),(80,1),(132,1)}
        59:{3,4,7}:{(41,1),(44,1),(79,1),(80,1)}
        60:{1,2,3,5,6}:{(42,1),(43,1),(65,1),(70,1),(78,1),(82,1),(117,1),(125,1),(140,1),(173,1),(176,1),(180,1),(183,1),(187,1),(191,1)}
        61:{2,4,6}:{(42,1),(44,1),(79,1),(83,1)}
        62:{1,4,6}:{(43,1),(44,1),(80,1),(84,1)}
        63:{3,4,5}:{(44,1),(83,1),(84,1),(140,1)}
        64:{1,3,7}:{(45,1),(46,1)}
        65:{1,2,3,6}:{(46,1),(47,1),(86,1),(88,1),(150,1)}
        66:{1,3,4,6}:{(46,1),(48,1),(62,1),(87,1),(88,1),(89,1),(109,1),(146,1)}
        67:{1,2,4}:{(47,1),(48,1),(90,1)}
        68:{1,3,4,5}:{(48,1),(89,1),(91,1),(92,1),(169,1)}
        69:{2,3,7}:{(49,1),(50,1)}
        70:{1,2,3,6}:{(50,1),(51,1),(93,1),(95,1),(158,1)}
        71:{2,3,4,6}:{(50,1),(52,1),(61,1),(94,1),(95,1),(96,1),(109,1),(154,1)}
        72:{1,2,4}:{(51,1),(52,1),(97,1)}
        73:{2,3,4,5}:{(52,1),(96,1),(98,1),(99,1),(169,1)}
        74:{2,3,6,7}:{(53,1),(55,1),(57,1),(101,1),(154,1)}
        75:{1,3,6,7}:{(54,1),(55,1),(58,1),(102,1),(146,1)}
        76:{3,4,6,7}:{(55,1),(56,1),(59,1),(101,1),(102,1),(103,1),(108,1)}
        77:{4,5,7}:{(56,1),(103,1),(104,1)}
        78:{1,2,3,5,7}:{(57,1),(58,1),(60,1),(86,1),(93,1),(100,1),(105,1),(145,1),(153,1),(161,1),(165,1),(199,1),(204,1)}
        79:{2,4,7}:{(57,1),(59,1),(61,1)}
        80:{1,4,7}:{(58,1),(59,1),(62,1)}
        81:{3,4,5,7}:{(59,1),(63,1),(103,1),(106,1),(107,1),(108,1),(165,1),(205,1)}
        82:{1,2,4,6}:{(60,1),(61,1),(62,1),(105,1),(109,1),(110,1),(198,1),(203,1)}
        83:{2,4,5}:{(61,1),(63,1),(96,1)}
        84:{1,4,5}:{(62,1),(63,1),(89,1)}
        85:{3,4,5,6}:{(63,1),(108,1),(111,1),(112,1),(113,1),(170,1),(225,1)}
        86:{1,2,3,7}:{(64,1),(65,1),(114,1),(178,1)}
        87:{1,3,4,7}:{(64,1),(66,1),(80,1),(114,1),(115,1),(135,1)}
        88:{1,2,4,6}:{(65,1),(66,1),(67,1),(114,1),(116,1),(117,1),(173,1)}
        89:{1,3,5}:{(66,1),(84,1),(117,1),(140,1)}
        90:{2,3,4}:{(67,1),(119,1)}
        91:{1,2,4,5}:{(67,1),(68,1),(117,1),(119,1),(120,1),(175,1)}
        92:{1,3,4,6}:{(68,1),(118,1),(120,1),(121,1),(193,1)}
        93:{1,2,3,7}:{(69,1),(70,1),(122,1),(185,1)}
        94:{2,3,4,7}:{(69,1),(71,1),(79,1),(122,1),(123,1),(135,1)}
        95:{1,2,4,6}:{(70,1),(71,1),(72,1),(122,1),(124,1),(125,1),(180,1)}
        96:{2,3,5}:{(71,1),(83,1),(125,1),(140,1)}
        97:{1,3,4}:{(72,1),(127,1)}
        98:{1,2,4,5}:{(72,1),(73,1),(125,1),(127,1),(128,1),(182,1)}
        99:{2,3,4,6}:{(73,1),(126,1),(128,1),(129,1),(193,1)}
       100:{1,2,3,6,7}:{(74,1),(75,1),(78,1),(130,1),(173,1),(180,1),(191,1),(212,1),(215,1)}
       101:{2,4,6,7}:{(74,1),(76,1),(79,1),(131,1),(137,1)}
       102:{1,4,6,7}:{(75,1),(76,1),(80,1),(132,1),(138,1)}
       103:{3,5,7}:{(76,1),(77,1),(131,1),(132,1),(133,1)}
       104:{4,5,6}:{(77,1),(133,1),(217,1)}
       105:{1,2,4,7}:{(78,1),(79,1),(80,1),(82,1),(135,1),(213,1),(216,1)}
       106:{2,4,5,7}:{(79,1),(81,1),(83,1),(123,1),(131,1),(137,1)}
       107:{1,4,5,7}:{(80,1),(81,1),(84,1),(115,1),(132,1),(138,1)}
       108:{3,4,6}:{(81,1),(133,1),(137,1),(138,1),(191,1),(217,1)}
       109:{3,4,6}:{(82,1),(135,1),(140,1),(191,1)}
       110:{1,2,4,5}:{(82,1),(83,1),(84,1),(117,1),(125,1),(140,1),(175,1),(182,1)}
       111:{2,4,5,6}:{(83,1),(85,1),(126,1),(137,1),(142,1)}
       112:{1,4,5,6}:{(84,1),(85,1),(118,1),(138,1),(143,1)}
       113:{3,4,5,7}:{(85,1),(139,1),(142,1),(143,1),(194,1),(230,1)}
       114:{1,2,4,7}:{(86,1),(87,1),(88,1),(144,1),(145,1)}
       115:{1,3,5,7}:{(87,1),(89,1),(107,1),(145,1),(146,1),(165,1)}
       116:{2,3,4,6}:{(88,1),(90,1),(109,1),(144,1),(147,1),(150,1),(196,1),(198,1)}
       117:{1,2,5}:{(88,1),(89,1),(147,1)}
       118:{1,3,5,6}:{(89,1),(92,1),(112,1),(146,1),(148,1),(149,1),(170,1)}
       119:{2,3,5}:{(90,1),(91,1),(150,1)}
       120:{1,2,4,6}:{(91,1),(92,1),(148,1),(150,1),(151,1),(198,1)}
       121:{1,3,4,7}:{(92,1),(149,1),(151,1),(210,1)}
       122:{1,2,4,7}:{(93,1),(94,1),(95,1),(152,1),(153,1)}
       123:{2,3,5,7}:{(94,1),(96,1),(106,1),(153,1),(154,1),(165,1)}
       124:{1,3,4,6}:{(95,1),(97,1),(109,1),(152,1),(155,1),(158,1),(201,1),(203,1)}
       125:{1,2,5}:{(95,1),(96,1),(155,1)}
       126:{2,3,5,6}:{(96,1),(99,1),(111,1),(154,1),(156,1),(157,1),(170,1)}
       127:{1,3,5}:{(97,1),(98,1),(158,1)}
       128:{1,2,4,6}:{(98,1),(99,1),(156,1),(158,1),(159,1),(203,1)}
       129:{2,3,4,7}:{(99,1),(157,1),(159,1),(210,1)}
       130:{1,2,4,6,7}:{(100,1),(101,1),(102,1),(105,1),(160,1),(161,1),(166,1),(222,1),(224,1)}
       131:{2,5,7}:{(101,1),(103,1),(162,1)}
       132:{1,5,7}:{(102,1),(103,1),(163,1)}
       133:{3,5,6}:{(103,1),(104,1),(108,1),(162,1),(163,1)}
       134:{4,5,6,7}:{(104,1),(164,1),(226,1)}
       135:{3,4,7}:{(105,1),(109,1),(165,1)}
       136:{1,2,4,5,7}:{(105,1),(106,1),(107,1),(110,1),(145,1),(153,1),(161,1),(165,1),(166,1),(195,1),(200,1),(205,1)}
       137:{2,4,6}:{(106,1),(108,1),(154,1),(162,1)}
       138:{1,4,6}:{(107,1),(108,1),(146,1),(163,1)}
       139:{3,4,6,7}:{(108,1),(113,1),(164,1),(167,1),(168,1),(209,1),(226,1)}
       140:{3,5}:{(109,1),(110,1)}
       141:{1,2,4,5,6}:{(110,1),(111,1),(112,1),(148,1),(156,1),(166,1),(170,1),(171,1),(198,1),(203,1),(221,1),(223,1),(225,1)}
       142:{2,4,5,7}:{(111,1),(113,1),(157,1),(167,1)}
       143:{1,4,5,7}:{(112,1),(113,1),(149,1),(168,1)}
       144:{2,3,4,7}:{(114,1),(116,1),(135,1),(172,1),(178,1),(213,1)}
       145:{1,2,5,7}:{(114,1),(115,1),(117,1),(172,1),(173,1)}
       146:{1,3,6}:{(115,1),(138,1),(173,1),(191,1)}
       147:{2,3,5}:{(116,1),(117,1),(140,1),(175,1)}
       148:{1,2,5,6}:{(117,1),(118,1),(120,1),(173,1),(176,1),(177,1)}
       149:{1,3,5,7}:{(118,1),(121,1),(143,1),(174,1),(177,1),(194,1)}
       150:{2,3,6}:{(119,1),(120,1),(178,1)}
       151:{1,2,4,7}:{(120,1),(121,1),(177,1),(178,1),(213,1)}
       152:{1,3,4,7}:{(122,1),(124,1),(135,1),(179,1),(185,1),(216,1)}
       153:{1,2,5,7}:{(122,1),(123,1),(125,1),(179,1),(180,1)}
       154:{2,3,6}:{(123,1),(137,1),(180,1),(191,1)}
       155:{1,3,5}:{(124,1),(125,1),(140,1),(182,1)}
       156:{1,2,5,6}:{(125,1),(126,1),(128,1),(180,1),(183,1),(184,1)}
       157:{2,3,5,7}:{(126,1),(129,1),(142,1),(181,1),(184,1),(194,1)}
       158:{1,3,6}:{(127,1),(128,1),(185,1)}
       159:{1,2,4,7}:{(128,1),(129,1),(184,1),(185,1),(216,1)}
       160:{3,4,6,7}:{(130,1),(135,1),(186,1),(191,1),(217,1)}
       161:{1,2,5,7}:{(130,1),(131,1),(132,1),(186,1),(187,1),(228,1),(229,1)}
       162:{2,5,6}:{(131,1),(133,1),(137,1)}
       163:{1,5,6}:{(132,1),(133,1),(138,1)}
       164:{3,5,6,7}:{(133,1),(134,1),(139,1),(188,1),(189,1)}
       165:{3,5,7}:{(135,1),(136,1),(140,1),(191,1)}
       166:{1,2,4,6}:{(136,1),(137,1),(138,1),(173,1),(180,1),(187,1),(191,1),(211,1),(214,1),(217,1)}
       167:{2,4,6,7}:{(137,1),(139,1),(142,1),(181,1),(188,1)}
       168:{1,4,6,7}:{(138,1),(139,1),(143,1),(174,1),(189,1)}
       169:{3,4,5}:{(140,1),(175,1),(182,1),(193,1)}
       170:{3,5,6}:{(140,1),(141,1),(191,1),(193,1),(194,1)}
       171:{1,2,4,5,7}:{(141,1),(142,1),(143,1),(177,1),(184,1),(192,1),(194,1),(213,1),(216,1),(228,1),(229,1),(230,1)}
       172:{2,3,5,7}:{(144,1),(145,1),(147,1),(165,1),(195,1),(196,1)}
       173:{1,2,6}:{(145,1),(146,1),(196,1)}
       174:{1,3,6,7}:{(146,1),(149,1),(168,1),(197,1),(209,1)}
       175:{2,4,5}:{(147,1),(169,1),(198,1)}
       176:{2,3,5,6}:{(147,1),(148,1),(150,1),(170,1),(196,1),(198,1),(199,1),(221,1)}
       177:{1,2,5,7}:{(148,1),(149,1),(151,1),(197,1),(199,1)}
       178:{2,3,7}:{(150,1),(151,1)}
       179:{1,3,5,7}:{(152,1),(153,1),(155,1),(165,1),(200,1),(201,1)}
       180:{1,2,6}:{(153,1),(154,1),(201,1)}
       181:{2,3,6,7}:{(154,1),(157,1),(167,1),(202,1),(209,1)}
       182:{1,4,5}:{(155,1),(169,1),(203,1)}
       183:{1,3,5,6}:{(155,1),(156,1),(158,1),(170,1),(201,1),(203,1),(204,1),(223,1)}
       184:{1,2,5,7}:{(156,1),(157,1),(159,1),(202,1),(204,1)}
       185:{1,3,7}:{(158,1),(159,1)}
       186:{3,5,7}:{(160,1),(161,1),(205,1),(206,1)}
       187:{1,2,5,6}:{(161,1),(162,1),(163,1),(166,1),(206,1),(221,1),(223,1)}
       188:{2,5,6,7}:{(162,1),(164,1),(167,1)}
       189:{1,5,6,7}:{(163,1),(164,1),(168,1)}
       190:{3,4,5,7}:{(165,1),(169,1),(195,1),(200,1),(205,1),(208,1),(210,1),(227,1)}
       191:{3,6}:{(165,1),(166,1)}
       192:{1,2,4,6,7}:{(166,1),(167,1),(168,1),(171,1),(197,1),(202,1),(207,1),(209,1),(222,1),(224,1),(226,1)}
       193:{3,4,6}:{(169,1),(170,1),(198,1),(203,1),(210,1)}
       194:{3,5,7}:{(170,1),(171,1),(209,1),(210,1)}
       195:{2,4,5,7}:{(172,1),(175,1),(190,1),(211,1),(213,1),(228,1)}
       196:{2,3,6}:{(172,1),(173,1),(191,1),(211,1)}
       197:{1,2,6,7}:{(173,1),(174,1),(177,1),(212,1)}
       198:{2,4,6}:{(175,1),(176,1),(193,1),(213,1)}
       199:{2,3,5,7}:{(176,1),(177,1),(178,1),(194,1),(212,1),(213,1),(228,1)}
       200:{1,4,5,7}:{(179,1),(182,1),(190,1),(214,1),(216,1),(229,1)}
       201:{1,3,6}:{(179,1),(180,1),(191,1),(214,1)}
       202:{1,2,6,7}:{(180,1),(181,1),(184,1),(215,1)}
       203:{1,4,6}:{(182,1),(183,1),(193,1),(216,1)}
       204:{1,3,5,7}:{(183,1),(184,1),(185,1),(194,1),(215,1),(216,1),(229,1)}
       205:{4,5,7}:{(186,1),(217,1)}
       206:{3,5,6}:{(186,1),(187,1),(191,1),(217,1)}
       207:{1,2,5,6,7}:{(187,1),(188,1),(189,1),(192,1),(218,1),(228,1),(229,1)}
       208:{3,4,6}:{(190,1),(191,1),(211,1),(214,1),(217,1),(219,1)}
       209:{3,6,7}:{(191,1),(192,1),(194,1)}
       210:{3,4,7}:{(193,1),(194,1),(213,1),(216,1)}
       211:{2,4,6}:{(195,1),(196,1),(208,1),(221,1)}
       212:{2,3,6,7}:{(196,1),(197,1),(199,1),(209,1),(222,1)}
       213:{2,4,7}:{(198,1),(199,1),(210,1)}
       214:{1,4,6}:{(200,1),(201,1),(208,1),(223,1)}
       215:{1,3,6,7}:{(201,1),(202,1),(204,1),(209,1),(224,1)}
       216:{1,4,7}:{(203,1),(204,1),(210,1)}
       217:{4,6}:{(205,1),(206,1)}
       218:{3,5,6,7}:{(206,1),(207,1),(209,1),(226,1),(227,1)}
       219:{3,5,6}:{(208,1),(221,1),(223,1),(225,1),(227,1)}
       220:{3,4,6,7}:{(208,1),(209,1),(210,1),(222,1),(224,1),(226,1),(227,1)}
       221:{2,5,6}:{(211,1),(219,1),(228,1)}
       222:{2,4,6,7}:{(211,1),(212,1),(213,1),(220,1),(228,1)}
       223:{1,5,6}:{(214,1),(219,1),(229,1)}
       224:{1,4,6,7}:{(214,1),(215,1),(216,1),(220,1),(229,1)}
       225:{4,5,6}:{(217,1),(219,1),(230,1)}
       226:{4,6,7}:{(217,1),(218,1),(230,1)}
       227:{3,5,7}:{(219,1),(220,1),(228,1),(229,1),(230,1)}
       228:{2,5,7}:{(221,1),(222,1),(227,1)}
       229:{1,5,7}:{(223,1),(224,1),(227,1)}
       230:{4,5,7}:{(225,1),(226,1),(227,1)}

1520 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(16,1),(17,1),(20,1),(21,1),(38,1),(71,1),(95,1),(96,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(114,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(18,1),(19,1),(20,1),(127,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(15,1),(71,1),(97,1),(126,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(26,1),(27,1),(28,1)}
         5:{3,5,7}:{(2,1),(3,1),(9,1),(135,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(58,1),(62,1),(87,1),(92,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(58,1),(62,1),(86,1),(91,1),(111,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(36,1),(37,1),(38,1),(65,1),(106,1)}
         9:{3,5,6}:{(4,1),(5,1),(15,1)}
        10:{3,4,5,7}:{(5,1),(15,1),(18,1),(19,1),(45,1),(97,1),(101,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1),(45,1),(109,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(45,1),(108,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(41,1),(46,1),(107,1)}
        14:{3,5,6,7}:{(8,1),(9,1),(23,1),(82,1),(120,1)}
        15:{3,4,6}:{(9,1),(10,1),(26,1),(27,1),(58,1)}
        16:{1,3,5,6}:{(9,1),(11,1),(26,1),(28,1),(58,1)}
        17:{2,3,5,6}:{(9,1),(12,1),(27,1),(28,1),(58,1)}
        18:{1,4,5,7}:{(10,1),(11,1),(26,1),(112,1),(116,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(27,1),(111,1),(115,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(28,1),(121,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(58,1),(86,1),(87,1),(90,1)}
        22:{3,4,5,6}:{(15,1),(33,1),(34,1),(35,1),(68,1),(101,1),(125,1)}
        23:{3,4,6,7}:{(14,1),(15,1),(33,1),(36,1),(37,1),(71,1),(97,1),(125,1)}
        24:{1,3,5,6,7}:{(14,1),(16,1),(36,1),(38,1),(63,1),(71,1),(96,1),(130,1)}
        25:{2,3,5,6,7}:{(14,1),(17,1),(37,1),(38,1),(64,1),(71,1),(95,1),(129,1)}
        26:{1,4,6}:{(15,1),(16,1),(18,1)}
        27:{2,4,6}:{(15,1),(17,1),(19,1)}
        28:{1,2,5,6}:{(16,1),(17,1),(20,1),(41,1)}
        29:{1,3,4,5,7}:{(18,1),(39,1),(43,1),(45,1),(63,1),(79,1),(97,1),(101,1),(109,1),(124,1),(137,1)}
        30:{2,3,4,5,7}:{(19,1),(40,1),(44,1),(45,1),(64,1),(78,1),(97,1),(101,1),(108,1),(123,1),(137,1)}
        31:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(41,1),(45,1),(46,1),(76,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(42,1),(45,1),(46,1),(95,1),(96,1)}
        33:{3,4,5,7}:{(22,1),(23,1),(47,1),(48,1),(82,1)}
        34:{1,4,5,6}:{(22,1),(26,1),(47,1),(49,1),(116,1),(134,1)}
        35:{2,4,5,6}:{(22,1),(27,1),(48,1),(50,1),(115,1),(133,1)}
        36:{1,4,6,7}:{(23,1),(24,1),(26,1),(47,1),(112,1),(134,1)}
        37:{2,4,6,7}:{(23,1),(25,1),(27,1),(48,1),(111,1),(133,1)}
        38:{1,2,5,6,7}:{(24,1),(25,1),(28,1),(54,1),(80,1),(81,1),(136,1)}
        39:{1,3,4,6}:{(26,1),(29,1),(49,1),(56,1),(58,1),(85,1),(134,1),(139,1)}
        40:{2,3,4,6}:{(27,1),(30,1),(50,1),(57,1),(58,1),(85,1),(133,1),(139,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(58,1)}
        42:{1,2,3,5,6}:{(28,1),(32,1),(58,1),(59,1),(83,1),(84,1),(90,1),(93,1),(121,1)}
        43:{1,2,4,5,7}:{(29,1),(56,1),(60,1),(80,1),(94,1),(111,1),(115,1),(121,1)}
        44:{1,2,4,5,7}:{(30,1),(57,1),(61,1),(81,1),(94,1),(112,1),(116,1),(121,1)}
        45:{3,5,7}:{(31,1),(58,1),(62,1),(93,1)}
        46:{1,2,4,7}:{(32,1),(59,1),(62,1),(111,1),(112,1)}
        47:{1,4,5,7}:{(33,1),(34,1),(36,1),(63,1)}
        48:{2,4,5,7}:{(33,1),(35,1),(37,1),(64,1)}
        49:{1,3,5,6}:{(34,1),(39,1),(63,1),(66,1),(68,1),(109,1)}
        50:{2,3,5,6}:{(35,1),(40,1),(64,1),(67,1),(68,1),(108,1)}
        51:{1,2,4,5,6}:{(34,1),(35,1),(41,1),(65,1),(66,1),(67,1),(68,1),(76,1),(99,1),(100,1),(127,1),(138,1)}
        52:{1,3,4,6,7}:{(36,1),(39,1),(63,1),(69,1),(71,1),(97,1)}
        53:{2,3,4,6,7}:{(37,1),(40,1),(64,1),(70,1),(71,1),(97,1)}
        54:{1,2,4,6,7}:{(36,1),(37,1),(38,1),(41,1),(65,1),(71,1),(138,1)}
        55:{1,2,3,5,6,7}:{(38,1),(42,1),(71,1),(72,1),(95,1),(96,1),(102,1),(105,1),(128,1),(129,1),(130,1)}
        56:{1,2,4,6}:{(39,1),(43,1),(66,1),(73,1),(99,1)}
        57:{1,2,4,6}:{(40,1),(44,1),(67,1),(74,1),(100,1)}
        58:{3,6}:{(41,1),(45,1)}
        59:{1,2,4,6}:{(42,1),(46,1),(75,1),(76,1),(99,1),(100,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(73,1),(78,1),(108,1),(137,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(74,1),(79,1),(109,1),(137,1)}
        62:{3,4,7}:{(45,1),(46,1),(75,1)}
        63:{1,3,5,7}:{(47,1),(49,1),(52,1),(80,1),(82,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(53,1),(81,1),(82,1)}
        65:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(54,1),(80,1),(81,1),(82,1),(111,1),(112,1)}
        66:{1,2,5,6}:{(49,1),(56,1),(80,1),(83,1),(121,1)}
        67:{1,2,5,6}:{(50,1),(57,1),(81,1),(84,1),(121,1)}
        68:{3,5,6}:{(51,1),(58,1),(82,1),(85,1),(93,1),(135,1),(139,1)}
        69:{1,2,4,6,7}:{(52,1),(56,1),(80,1),(86,1),(111,1)}
        70:{1,2,4,6,7}:{(53,1),(57,1),(81,1),(87,1),(112,1)}
        71:{3,6,7}:{(54,1),(58,1),(82,1),(139,1)}
        72:{1,2,4,6,7}:{(55,1),(59,1),(88,1),(89,1),(111,1),(112,1),(133,1),(134,1)}
        73:{2,3,6}:{(56,1),(58,1),(60,1),(139,1)}
        74:{1,3,6}:{(57,1),(58,1),(61,1),(139,1)}
        75:{3,4,6}:{(58,1),(59,1),(62,1),(93,1)}
        76:{1,2,4,5}:{(59,1),(93,1),(115,1),(116,1),(121,1)}
        77:{1,2,3,5,7}:{(60,1),(61,1),(90,1),(94,1),(121,1)}
        78:{2,3,4,7}:{(60,1),(62,1),(91,1),(94,1),(111,1),(131,1)}
        79:{1,3,4,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(131,1)}
        80:{1,2,5,7}:{(63,1),(66,1),(69,1),(95,1)}
        81:{1,2,5,7}:{(64,1),(67,1),(70,1),(96,1)}
        82:{3,5,7}:{(65,1),(68,1),(71,1),(97,1)}
        83:{2,3,5,6}:{(66,1),(68,1),(73,1),(95,1),(99,1),(108,1)}
        84:{1,3,5,6}:{(67,1),(68,1),(74,1),(96,1),(100,1),(109,1)}
        85:{3,4,6}:{(68,1),(97,1),(99,1),(100,1),(101,1)}
        86:{2,3,6,7}:{(69,1),(71,1),(73,1),(95,1)}
        87:{1,3,6,7}:{(70,1),(71,1),(74,1),(96,1)}
        88:{3,4,6,7}:{(71,1),(72,1),(75,1),(97,1),(105,1),(125,1)}
        89:{1,2,4,5,7}:{(72,1),(76,1),(105,1),(106,1),(123,1),(124,1),(128,1)}
        90:{1,2,3,6}:{(73,1),(74,1),(77,1),(107,1)}
        91:{2,3,4,6}:{(73,1),(75,1),(78,1),(99,1),(107,1),(108,1),(126,1)}
        92:{1,3,4,6}:{(74,1),(75,1),(79,1),(100,1),(107,1),(109,1),(126,1)}
        93:{3,5}:{(75,1),(76,1)}
        94:{1,2,4,7}:{(77,1),(78,1),(79,1),(107,1)}
        95:{2,3,5,7}:{(80,1),(82,1),(83,1),(86,1),(111,1)}
        96:{1,3,5,7}:{(81,1),(82,1),(84,1),(87,1),(112,1)}
        97:{3,4,7}:{(82,1),(85,1),(111,1),(112,1)}
        98:{1,2,3,5,6}:{(83,1),(84,1),(90,1),(110,1),(114,1),(121,1),(135,1),(136,1),(139,1)}
        99:{2,4,6}:{(83,1),(85,1),(111,1),(115,1)}
       100:{1,4,6}:{(84,1),(85,1),(112,1),(116,1)}
       101:{3,4,5}:{(85,1),(93,1),(115,1),(116,1),(135,1)}
       102:{1,2,3,6,7}:{(86,1),(87,1),(90,1),(110,1),(117,1),(139,1)}
       103:{2,3,4,6,7}:{(86,1),(88,1),(91,1),(111,1),(117,1),(118,1),(131,1),(133,1),(139,1)}
       104:{1,3,4,6,7}:{(87,1),(88,1),(92,1),(112,1),(117,1),(119,1),(131,1),(134,1),(139,1)}
       105:{3,5,7}:{(88,1),(89,1),(93,1),(120,1)}
       106:{1,2,4,5,6}:{(89,1),(120,1),(133,1),(134,1),(136,1)}
       107:{1,2,4,6}:{(90,1),(91,1),(92,1),(94,1),(121,1)}
       108:{2,3,5}:{(91,1),(93,1),(115,1),(121,1),(135,1)}
       109:{1,3,5}:{(92,1),(93,1),(116,1),(121,1),(135,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(102,1),(122,1),(128,1),(137,1)}
       111:{2,4,7}:{(95,1),(97,1),(99,1)}
       112:{1,4,7}:{(96,1),(97,1),(100,1)}
       113:{3,4,5,7}:{(97,1),(101,1),(105,1),(123,1),(124,1),(125,1),(137,1)}
       114:{1,2,4,6}:{(98,1),(99,1),(100,1),(122,1),(126,1),(127,1)}
       115:{2,4,5}:{(99,1),(101,1),(108,1)}
       116:{1,4,5}:{(100,1),(101,1),(109,1)}
       117:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(107,1),(122,1),(128,1),(138,1)}
       118:{2,3,5,7}:{(103,1),(105,1),(108,1),(123,1),(128,1),(129,1),(137,1)}
       119:{1,3,5,7}:{(104,1),(105,1),(109,1),(124,1),(128,1),(130,1),(137,1)}
       120:{3,5,6}:{(105,1),(106,1),(125,1)}
       121:{1,2,5}:{(107,1),(108,1),(109,1)}
       122:{1,2,4,7}:{(110,1),(111,1),(112,1),(114,1),(131,1)}
       123:{2,4,5,7}:{(111,1),(113,1),(115,1),(118,1),(133,1)}
       124:{1,4,5,7}:{(112,1),(113,1),(116,1),(119,1),(134,1)}
       125:{3,4,6}:{(113,1),(120,1),(133,1),(134,1),(139,1)}
       126:{3,4,6}:{(114,1),(131,1),(135,1),(139,1)}
       127:{1,2,4,5}:{(114,1),(115,1),(116,1),(121,1),(135,1)}
       128:{1,2,5,7}:{(117,1),(118,1),(119,1),(121,1),(136,1)}
       129:{2,3,5,6}:{(118,1),(120,1),(133,1),(136,1),(139,1)}
       130:{1,3,5,6}:{(119,1),(120,1),(134,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(126,1),(137,1)}
       132:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(127,1),(128,1),(137,1),(138,1)}
       133:{2,4,6}:{(123,1),(125,1),(129,1)}
       134:{1,4,6}:{(124,1),(125,1),(130,1)}
       135:{3,5}:{(126,1),(127,1)}
       136:{1,2,5,6}:{(128,1),(129,1),(130,1),(138,1)}
       137:{3,5,7}:{(131,1),(132,1),(135,1),(139,1)}
       138:{1,2,4,6}:{(132,1),(133,1),(134,1),(136,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1521 :   0:{1,2,3,6,7}:{(2,1),(3,1),(45,1),(82,1),(83,1),(84,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(13,1),(14,1),(17,1),(45,1),(47,1),(48,1),(49,1),(82,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(23,1),(26,1),(63,1),(68,1),(69,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(27,1),(93,1),(94,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(60,1),(61,1)}
         5:{3,4,6,7}:{(3,1),(10,1),(11,1),(36,1),(45,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(11,1),(80,1),(81,1)}
         7:{1,2,5,7}:{(3,1),(10,1),(13,1),(100,1),(101,1)}
         8:{3,4,6}:{(4,1),(11,1),(17,1),(45,1)}
         9:{1,2,4,5}:{(4,1),(17,1),(39,1),(40,1),(47,1)}
        10:{3,5,7}:{(5,1),(7,1),(19,1),(20,1)}
        11:{3,4,7}:{(6,1),(8,1),(26,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(19,1),(26,1),(27,1),(54,1),(55,1),(63,1)}
        13:{1,2,5,6}:{(7,1),(20,1),(27,1),(88,1),(89,1)}
        14:{1,2,3,6}:{(21,1),(23,1),(29,1),(95,1)}
        15:{2,3,4,6}:{(8,1),(24,1),(29,1),(30,1),(58,1),(60,1),(64,1),(86,1),(95,1)}
        16:{1,3,4,6}:{(8,1),(25,1),(29,1),(31,1),(58,1),(61,1),(65,1),(86,1),(95,1)}
        17:{3,5}:{(8,1),(9,1)}
        18:{1,2,4,5,6}:{(9,1),(27,1),(32,1),(33,1),(52,1),(60,1),(61,1),(67,1),(88,1),(89,1)}
        19:{4,5,7}:{(10,1),(36,1)}
        20:{3,5,6}:{(10,1),(13,1),(36,1),(45,1)}
        21:{1,2,3,5}:{(14,1),(38,1),(47,1),(78,1)}
        22:{3,4,5}:{(17,1),(39,1),(40,1),(41,1),(78,1)}
        23:{1,2,3,7}:{(14,1),(42,1),(104,1)}
        24:{2,3,4,7}:{(11,1),(15,1),(42,1),(43,1),(73,1),(80,1),(104,1)}
        25:{1,3,4,7}:{(11,1),(16,1),(42,1),(44,1),(73,1),(81,1),(104,1)}
        26:{3,5,7}:{(11,1),(12,1),(17,1),(45,1)}
        27:{1,2,4,6}:{(12,1),(13,1),(36,1),(45,1),(75,1),(76,1),(82,1)}
        28:{1,2,5,6,7}:{(13,1),(37,1),(46,1),(100,1),(101,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(16,1),(38,1),(42,1),(47,1),(82,1)}
        30:{2,3,5}:{(15,1),(17,1),(39,1),(47,1),(78,1),(98,1)}
        31:{1,3,5}:{(16,1),(17,1),(40,1),(47,1),(78,1),(98,1)}
        32:{3,5,6}:{(17,1),(18,1),(41,1),(45,1),(50,1)}
        33:{1,2,4,5,7}:{(18,1),(46,1),(50,1),(72,1),(80,1),(81,1),(85,1),(100,1),(101,1)}
        34:{1,2,3,5,7}:{(21,1),(23,1),(51,1),(53,1),(63,1),(87,1),(91,1)}
        35:{3,4,5,7}:{(19,1),(22,1),(26,1),(54,1),(55,1),(56,1),(62,1),(90,1),(91,1),(105,1),(111,1)}
        36:{4,6}:{(19,1),(20,1)}
        37:{3,5,6,7}:{(20,1),(28,1),(57,1),(66,1),(90,1)}
        38:{1,2,4}:{(21,1),(58,1)}
        39:{2,4,5}:{(22,1),(30,1),(60,1),(105,1)}
        40:{1,4,5}:{(22,1),(31,1),(61,1),(105,1)}
        41:{3,4,6}:{(22,1),(32,1),(60,1),(61,1),(62,1),(95,1)}
        42:{1,2,4,7}:{(23,1),(24,1),(25,1),(29,1),(63,1)}
        43:{2,3,5,7}:{(24,1),(26,1),(30,1),(54,1),(63,1),(64,1),(91,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(31,1),(55,1),(63,1),(65,1),(91,1)}
        45:{3,6}:{(26,1),(27,1)}
        46:{1,2,4,6,7}:{(27,1),(28,1),(33,1),(57,1),(66,1),(93,1),(94,1),(97,1)}
        47:{1,2,5}:{(29,1),(30,1),(31,1)}
        48:{2,3,5,6}:{(30,1),(32,1),(60,1),(64,1),(67,1),(68,1),(88,1),(95,1),(106,1)}
        49:{1,3,5,6}:{(31,1),(32,1),(61,1),(65,1),(67,1),(69,1),(89,1),(95,1),(106,1)}
        50:{3,5,7}:{(32,1),(33,1),(62,1),(66,1)}
        51:{1,2,3,6}:{(34,1),(70,1),(82,1),(102,1)}
        52:{4,5,6}:{(36,1),(71,1),(72,1),(109,1)}
        53:{1,2,4,7}:{(34,1),(38,1),(70,1),(73,1)}
        54:{2,4,5,7}:{(35,1),(39,1),(43,1),(75,1),(80,1),(100,1)}
        55:{1,4,5,7}:{(35,1),(40,1),(44,1),(76,1),(81,1),(101,1)}
        56:{3,4,6}:{(35,1),(36,1),(45,1),(71,1),(75,1),(76,1),(102,1),(109,1)}
        57:{4,6,7}:{(36,1),(37,1),(72,1)}
        58:{3,4}:{(38,1),(78,1)}
        59:{1,2,4,5}:{(38,1),(39,1),(40,1),(47,1),(78,1),(79,1)}
        60:{2,4,6}:{(39,1),(41,1),(48,1),(80,1),(109,1)}
        61:{1,4,6}:{(40,1),(41,1),(49,1),(81,1),(109,1)}
        62:{3,4,7}:{(41,1),(50,1),(80,1),(81,1),(104,1)}
        63:{1,2,5,7}:{(42,1),(43,1),(44,1),(47,1),(82,1)}
        64:{2,3,6}:{(43,1),(45,1),(75,1),(82,1),(102,1)}
        65:{1,3,6}:{(44,1),(45,1),(76,1),(82,1),(102,1)}
        66:{3,6,7}:{(45,1),(46,1),(50,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(49,1),(79,1),(82,1),(85,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(80,1),(83,1),(85,1),(100,1),(104,1),(110,1)}
        69:{1,3,5,7}:{(49,1),(50,1),(81,1),(84,1),(85,1),(101,1),(104,1),(110,1)}
        70:{1,2,4,6}:{(51,1),(53,1),(86,1),(87,1)}
        71:{3,5,6}:{(52,1),(56,1),(88,1),(89,1),(90,1)}
        72:{4,5,7}:{(52,1),(57,1),(90,1),(111,1)}
        73:{3,4,7}:{(53,1),(58,1),(86,1),(91,1),(111,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(59,1),(63,1),(87,1),(91,1),(92,1),(96,1),(105,1),(107,1),(111,1)}
        75:{2,4,6}:{(54,1),(56,1),(64,1),(88,1)}
        76:{1,4,6}:{(55,1),(56,1),(65,1),(89,1)}
        77:{3,4,6,7}:{(56,1),(57,1),(62,1),(66,1),(90,1),(93,1),(94,1),(108,1),(111,1)}
        78:{3,5}:{(58,1),(59,1),(95,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(67,1),(95,1),(96,1)}
        80:{2,4,7}:{(60,1),(62,1),(68,1),(111,1)}
        81:{1,4,7}:{(61,1),(62,1),(69,1),(111,1)}
        82:{1,2,6}:{(63,1),(64,1),(65,1)}
        83:{2,3,6,7}:{(64,1),(66,1),(68,1),(93,1),(97,1),(108,1)}
        84:{1,3,6,7}:{(65,1),(66,1),(69,1),(94,1),(97,1),(108,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(96,1),(97,1)}
        86:{3,4,6}:{(70,1),(73,1),(98,1),(102,1),(109,1)}
        87:{1,2,5}:{(70,1),(98,1)}
        88:{2,5,6}:{(71,1),(75,1),(100,1)}
        89:{1,5,6}:{(71,1),(76,1),(101,1)}
        90:{3,5,7}:{(71,1),(72,1),(77,1),(100,1),(101,1)}
        91:{3,5,7}:{(73,1),(74,1),(78,1),(98,1),(102,1),(104,1)}
        92:{1,2,4,6}:{(74,1),(75,1),(76,1),(82,1),(99,1),(102,1),(109,1)}
        93:{2,4,6,7}:{(75,1),(77,1),(80,1),(83,1),(100,1)}
        94:{1,4,6,7}:{(76,1),(77,1),(81,1),(84,1),(101,1)}
        95:{3,6}:{(78,1),(79,1),(104,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(85,1),(104,1)}
        97:{1,2,6,7}:{(82,1),(83,1),(84,1),(85,1)}
        98:{3,5}:{(86,1),(87,1),(105,1)}
        99:{1,2,5,6}:{(87,1),(88,1),(89,1),(92,1),(106,1),(107,1)}
       100:{2,5,7}:{(88,1),(90,1),(93,1)}
       101:{1,5,7}:{(89,1),(90,1),(94,1)}
       102:{3,6}:{(91,1),(92,1)}
       103:{1,2,4,6,7}:{(92,1),(93,1),(94,1),(96,1),(97,1),(107,1),(108,1),(111,1)}
       104:{3,7}:{(95,1),(96,1)}
       105:{4,5}:{(98,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(102,1),(109,1),(110,1)}
       107:{1,2,5,7}:{(99,1),(100,1),(101,1),(103,1),(110,1)}
       108:{3,6,7}:{(102,1),(103,1),(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1522 :   0:{3,4,5,6}:{(1,1),(2,1),(3,1),(25,1),(186,1),(193,1),(218,1)}
         1:{3,4,5,7}:{(0,1),(9,1),(10,1),(11,1),(44,1),(167,1)}
         2:{1,4,5,6}:{(0,1),(7,1),(10,1),(201,1),(224,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(11,1),(196,1),(222,1)}
         4:{2,3,4,5}:{(13,1),(14,1),(71,1),(108,1),(173,1)}
         5:{1,3,4,5}:{(15,1),(16,1),(71,1),(117,1),(180,1)}
         6:{2,3,5,6}:{(3,1),(13,1),(17,1),(18,1),(25,1),(173,1),(212,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(19,1),(20,1),(25,1),(180,1),(215,1)}
         8:{4,5,6,7}:{(21,1),(135,1),(230,1)}
         9:{3,4,6,7}:{(1,1),(21,1),(22,1),(23,1),(69,1),(135,1),(218,1)}
        10:{1,4,5,7}:{(1,1),(2,1),(19,1),(22,1)}
        11:{2,4,5,7}:{(1,1),(3,1),(17,1),(23,1)}
        12:{1,2,4,5,6}:{(2,1),(3,1),(18,1),(20,1),(24,1),(25,1),(64,1),(67,1),(130,1),(190,1),(191,1),(192,1),(193,1)}
        13:{2,3,4,6}:{(4,1),(6,1),(27,1),(28,1),(45,1)}
        14:{1,2,4,5}:{(4,1),(28,1),(29,1),(77,1),(97,1),(144,1)}
        15:{1,3,4,6}:{(5,1),(7,1),(31,1),(32,1),(45,1)}
        16:{1,2,4,5}:{(5,1),(32,1),(33,1),(85,1),(100,1),(152,1)}
        17:{2,3,5,7}:{(6,1),(11,1),(27,1),(35,1),(36,1),(44,1)}
        18:{1,2,5,6}:{(6,1),(28,1),(36,1),(37,1),(144,1),(198,1)}
        19:{1,3,5,7}:{(7,1),(10,1),(31,1),(38,1),(39,1),(44,1)}
        20:{1,2,5,6}:{(7,1),(32,1),(39,1),(40,1),(152,1),(203,1)}
        21:{3,5,6,7}:{(8,1),(9,1),(41,1),(42,1),(226,1)}
        22:{1,4,6,7}:{(9,1),(10,1),(38,1),(41,1),(224,1)}
        23:{2,4,6,7}:{(9,1),(11,1),(35,1),(42,1),(222,1)}
        24:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(36,1),(39,1),(43,1),(44,1),(96,1),(99,1),(163,1),(165,1),(167,1)}
        25:{3,5,6}:{(12,1),(44,1),(45,1),(160,1),(208,1)}
        26:{1,3,4,5}:{(46,1),(47,1),(51,1),(112,1),(186,1)}
        27:{2,3,4,7}:{(13,1),(17,1),(49,1),(70,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(18,1),(49,1),(50,1),(64,1)}
        29:{1,3,5}:{(14,1),(50,1),(51,1)}
        30:{2,3,4,5}:{(52,1),(53,1),(57,1),(121,1),(186,1)}
        31:{1,3,4,7}:{(15,1),(19,1),(55,1),(70,1)}
        32:{1,2,4,6}:{(15,1),(16,1),(20,1),(55,1),(56,1),(67,1)}
        33:{2,3,5}:{(16,1),(56,1),(57,1)}
        34:{3,4,5,6}:{(58,1),(59,1),(60,1),(71,1),(126,1),(137,1),(230,1)}
        35:{2,3,6,7}:{(17,1),(23,1),(62,1),(69,1),(212,1)}
        36:{1,2,5,7}:{(17,1),(18,1),(49,1),(62,1),(63,1)}
        37:{1,3,5,6}:{(18,1),(25,1),(50,1),(63,1),(64,1),(112,1),(175,1),(191,1)}
        38:{1,3,6,7}:{(19,1),(22,1),(65,1),(69,1),(215,1)}
        39:{1,2,5,7}:{(19,1),(20,1),(55,1),(65,1),(66,1)}
        40:{2,3,5,6}:{(20,1),(25,1),(56,1),(66,1),(67,1),(121,1),(182,1),(192,1)}
        41:{1,5,6,7}:{(21,1),(22,1),(229,1)}
        42:{2,5,6,7}:{(21,1),(23,1),(228,1)}
        43:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(62,1),(65,1),(68,1),(69,1),(131,1),(133,1),(135,1),(190,1)}
        44:{3,5,7}:{(24,1),(25,1),(69,1),(70,1)}
        45:{3,4,6}:{(25,1),(64,1),(67,1),(70,1),(71,1)}
        46:{1,3,4,6}:{(26,1),(72,1),(73,1),(74,1),(158,1)}
        47:{1,2,4,5}:{(26,1),(74,1),(75,1),(77,1),(144,1),(196,1)}
        48:{1,2,3,5}:{(29,1),(75,1),(76,1),(77,1),(144,1)}
        49:{1,2,4,7}:{(27,1),(28,1),(36,1),(78,1),(96,1)}
        50:{1,3,6}:{(28,1),(29,1),(78,1)}
        51:{1,3,4}:{(29,1),(77,1)}
        52:{2,3,4,6}:{(30,1),(80,1),(81,1),(82,1),(158,1)}
        53:{1,2,4,5}:{(30,1),(82,1),(83,1),(85,1),(152,1),(201,1)}
        54:{1,2,3,5}:{(33,1),(83,1),(84,1),(85,1),(152,1)}
        55:{1,2,4,7}:{(31,1),(32,1),(39,1),(86,1),(99,1)}
        56:{2,3,6}:{(32,1),(33,1),(86,1)}
        57:{2,3,4}:{(33,1),(85,1)}
        58:{3,4,5,7}:{(34,1),(89,1),(90,1),(91,1),(157,1),(225,1)}
        59:{1,4,5,6}:{(34,1),(72,1),(90,1),(97,1),(164,1)}
        60:{2,4,5,6}:{(34,1),(80,1),(91,1),(100,1),(166,1)}
        61:{1,2,3,5,6}:{(37,1),(40,1),(76,1),(84,1),(93,1),(94,1),(140,1),(144,1),(148,1),(152,1),(160,1),(198,1),(203,1),(208,1),(209,1)}
        62:{1,2,6,7}:{(35,1),(36,1),(95,1),(198,1)}
        63:{1,3,5,7}:{(36,1),(37,1),(44,1),(78,1),(95,1),(96,1),(163,1)}
        64:{1,4,6}:{(37,1),(45,1),(96,1),(97,1)}
        65:{1,2,6,7}:{(38,1),(39,1),(98,1),(203,1)}
        66:{2,3,5,7}:{(39,1),(40,1),(44,1),(86,1),(98,1),(99,1),(165,1)}
        67:{2,4,6}:{(40,1),(45,1),(99,1),(100,1)}
        68:{1,2,5,6,7}:{(41,1),(42,1),(43,1),(101,1),(163,1),(165,1),(209,1)}
        69:{3,6,7}:{(43,1),(44,1),(208,1)}
        70:{3,4,7}:{(44,1),(45,1),(96,1),(99,1)}
        71:{3,4,5}:{(45,1),(97,1),(100,1),(160,1)}
        72:{1,3,5,6}:{(46,1),(59,1),(104,1),(105,1),(112,1),(126,1),(175,1)}
        73:{1,3,4,7}:{(46,1),(104,1),(106,1),(185,1)}
        74:{1,2,4,6}:{(46,1),(47,1),(105,1),(106,1),(107,1),(171,1)}
        75:{2,3,5}:{(47,1),(107,1),(108,1)}
        76:{1,2,3,6}:{(48,1),(50,1),(107,1),(109,1),(110,1)}
        77:{1,2,4}:{(48,1),(51,1),(108,1)}
        78:{1,3,7}:{(49,1),(50,1)}
        79:{1,3,4,6}:{(50,1),(51,1),(64,1),(110,1),(111,1),(112,1),(127,1),(175,1)}
        80:{2,3,5,6}:{(52,1),(60,1),(113,1),(114,1),(121,1),(126,1),(182,1)}
        81:{2,3,4,7}:{(52,1),(113,1),(115,1),(185,1)}
        82:{1,2,4,6}:{(52,1),(53,1),(114,1),(115,1),(116,1),(178,1)}
        83:{1,3,5}:{(53,1),(116,1),(117,1)}
        84:{1,2,3,6}:{(54,1),(56,1),(116,1),(118,1),(119,1)}
        85:{1,2,4}:{(54,1),(57,1),(117,1)}
        86:{2,3,7}:{(55,1),(56,1)}
        87:{2,3,4,6}:{(56,1),(57,1),(67,1),(119,1),(120,1),(121,1),(127,1),(182,1)}
        88:{4,5,6,7}:{(122,1),(193,1),(216,1)}
        89:{3,4,6,7}:{(58,1),(122,1),(123,1),(124,1),(137,1),(184,1),(216,1)}
        90:{1,4,5,7}:{(58,1),(59,1),(104,1),(123,1)}
        91:{2,4,5,7}:{(58,1),(60,1),(113,1),(124,1)}
        92:{1,2,4,5,6}:{(59,1),(60,1),(105,1),(114,1),(125,1),(126,1),(130,1),(171,1),(178,1),(190,1),(228,1),(229,1),(230,1)}
        93:{1,2,3,5,7}:{(61,1),(63,1),(66,1),(109,1),(118,1),(128,1),(129,1),(170,1),(174,1),(177,1),(181,1),(188,1),(189,1)}
        94:{1,2,4,6}:{(61,1),(64,1),(67,1),(127,1),(129,1),(130,1),(171,1),(178,1)}
        95:{1,3,6,7}:{(62,1),(63,1),(69,1),(131,1),(175,1)}
        96:{1,4,7}:{(63,1),(64,1),(70,1)}
        97:{1,4,5}:{(64,1),(71,1),(112,1)}
        98:{2,3,6,7}:{(65,1),(66,1),(69,1),(133,1),(182,1)}
        99:{2,4,7}:{(66,1),(67,1),(70,1)}
       100:{2,4,5}:{(67,1),(71,1),(121,1)}
       101:{3,5,6,7}:{(68,1),(69,1),(135,1),(136,1),(220,1)}
       102:{3,4,6,7}:{(69,1),(70,1),(131,1),(133,1),(135,1),(136,1),(137,1)}
       103:{3,4,5,7}:{(70,1),(71,1),(132,1),(134,1),(136,1),(137,1),(188,1),(219,1)}
       104:{1,3,5,7}:{(72,1),(73,1),(90,1),(138,1),(139,1),(157,1)}
       105:{1,2,5,6}:{(72,1),(74,1),(139,1),(140,1),(144,1),(198,1)}
       106:{1,2,4,7}:{(73,1),(74,1),(139,1),(141,1),(195,1)}
       107:{2,3,6}:{(74,1),(75,1),(141,1)}
       108:{2,3,4}:{(75,1),(77,1)}
       109:{1,2,3,7}:{(76,1),(78,1),(141,1),(143,1)}
       110:{1,2,4,6}:{(76,1),(77,1),(79,1),(142,1),(143,1),(144,1),(198,1)}
       111:{1,3,4,7}:{(78,1),(79,1),(96,1),(143,1),(145,1),(159,1)}
       112:{1,3,5}:{(79,1),(97,1),(144,1),(160,1)}
       113:{2,3,5,7}:{(80,1),(81,1),(91,1),(146,1),(147,1),(157,1)}
       114:{1,2,5,6}:{(80,1),(82,1),(147,1),(148,1),(152,1),(203,1)}
       115:{1,2,4,7}:{(81,1),(82,1),(147,1),(149,1),(200,1)}
       116:{1,3,6}:{(82,1),(83,1),(149,1)}
       117:{1,3,4}:{(83,1),(85,1)}
       118:{1,2,3,7}:{(84,1),(86,1),(149,1),(151,1)}
       119:{1,2,4,6}:{(84,1),(85,1),(87,1),(150,1),(151,1),(152,1),(203,1)}
       120:{2,3,4,7}:{(86,1),(87,1),(99,1),(151,1),(153,1),(159,1)}
       121:{2,3,5}:{(87,1),(100,1),(152,1),(160,1)}
       122:{3,5,6,7}:{(88,1),(89,1),(154,1),(155,1),(168,1)}
       123:{1,4,6,7}:{(89,1),(90,1),(138,1),(154,1),(164,1)}
       124:{2,4,6,7}:{(89,1),(91,1),(146,1),(155,1),(166,1)}
       125:{1,2,4,5,7}:{(90,1),(91,1),(92,1),(139,1),(147,1),(156,1),(157,1),(195,1),(200,1),(221,1),(223,1),(225,1)}
       126:{3,5,6}:{(92,1),(157,1),(158,1),(160,1),(208,1)}
       127:{3,4,6}:{(94,1),(159,1),(160,1),(208,1)}
       128:{1,2,3,6,7}:{(93,1),(95,1),(98,1),(161,1),(194,1),(198,1),(199,1),(203,1),(208,1)}
       129:{1,2,4,7}:{(93,1),(94,1),(96,1),(99,1),(159,1),(195,1),(200,1)}
       130:{1,2,4,5}:{(94,1),(97,1),(100,1),(144,1),(152,1),(160,1),(196,1),(201,1)}
       131:{1,4,6,7}:{(95,1),(96,1),(102,1),(163,1),(164,1)}
       132:{1,4,5,7}:{(96,1),(97,1),(103,1),(145,1),(163,1),(164,1)}
       133:{2,4,6,7}:{(98,1),(99,1),(102,1),(165,1),(166,1)}
       134:{2,4,5,7}:{(99,1),(100,1),(103,1),(153,1),(165,1),(166,1)}
       135:{4,6,7}:{(101,1),(167,1),(227,1)}
       136:{3,5,7}:{(102,1),(163,1),(165,1),(167,1),(168,1)}
       137:{3,4,6}:{(103,1),(164,1),(166,1),(168,1),(208,1),(227,1)}
       138:{1,3,6,7}:{(104,1),(123,1),(169,1),(175,1),(184,1)}
       139:{1,2,5,7}:{(104,1),(105,1),(106,1),(169,1),(170,1)}
       140:{2,3,5,6}:{(105,1),(107,1),(126,1),(170,1),(171,1),(173,1),(212,1),(228,1)}
       141:{2,3,7}:{(106,1),(107,1)}
       142:{2,3,4,6}:{(107,1),(108,1),(110,1),(127,1),(171,1),(172,1),(173,1),(212,1)}
       143:{1,2,4,7}:{(109,1),(110,1),(111,1),(172,1),(174,1)}
       144:{1,2,5}:{(110,1),(112,1),(173,1)}
       145:{1,3,5,7}:{(111,1),(112,1),(132,1),(174,1),(175,1),(188,1)}
       146:{2,3,6,7}:{(113,1),(124,1),(176,1),(182,1),(184,1)}
       147:{1,2,5,7}:{(113,1),(114,1),(115,1),(176,1),(177,1)}
       148:{1,3,5,6}:{(114,1),(116,1),(126,1),(177,1),(178,1),(180,1),(215,1),(229,1)}
       149:{1,3,7}:{(115,1),(116,1)}
       150:{1,3,4,6}:{(116,1),(117,1),(119,1),(127,1),(178,1),(179,1),(180,1),(215,1)}
       151:{1,2,4,7}:{(118,1),(119,1),(120,1),(179,1),(181,1)}
       152:{1,2,5}:{(119,1),(121,1),(180,1)}
       153:{2,3,5,7}:{(120,1),(121,1),(134,1),(181,1),(182,1),(188,1)}
       154:{1,5,6,7}:{(122,1),(123,1),(191,1)}
       155:{2,5,6,7}:{(122,1),(124,1),(192,1)}
       156:{1,2,4,6,7}:{(123,1),(124,1),(125,1),(169,1),(176,1),(183,1),(184,1),(190,1),(210,1),(213,1),(216,1)}
       157:{3,5,7}:{(125,1),(126,1),(184,1),(185,1)}
       158:{3,4,6}:{(126,1),(171,1),(178,1),(185,1),(186,1)}
       159:{3,4,7}:{(127,1),(129,1),(188,1)}
       160:{3,5}:{(127,1),(130,1)}
       161:{1,2,4,6,7}:{(128,1),(129,1),(131,1),(133,1),(187,1),(189,1),(190,1),(210,1),(213,1)}
       162:{1,2,4,5,7}:{(129,1),(130,1),(132,1),(134,1),(174,1),(181,1),(188,1),(189,1),(190,1),(211,1),(214,1),(219,1)}
       163:{1,5,7}:{(131,1),(136,1),(191,1)}
       164:{1,4,6}:{(132,1),(137,1),(175,1),(191,1)}
       165:{2,5,7}:{(133,1),(136,1),(192,1)}
       166:{2,4,6}:{(134,1),(137,1),(182,1),(192,1)}
       167:{4,5,7}:{(135,1),(136,1),(193,1)}
       168:{3,5,6}:{(136,1),(137,1),(191,1),(192,1),(193,1)}
       169:{1,2,6,7}:{(138,1),(139,1),(194,1),(198,1)}
       170:{2,3,5,7}:{(139,1),(140,1),(141,1),(157,1),(194,1),(195,1),(221,1)}
       171:{2,4,6}:{(140,1),(158,1),(195,1),(196,1)}
       172:{2,3,4,7}:{(141,1),(142,1),(143,1),(159,1),(195,1),(197,1)}
       173:{2,3,5}:{(142,1),(144,1),(160,1),(196,1)}
       174:{1,2,5,7}:{(143,1),(144,1),(145,1),(197,1),(198,1)}
       175:{1,3,6}:{(145,1),(164,1),(198,1),(208,1)}
       176:{1,2,6,7}:{(146,1),(147,1),(199,1),(203,1)}
       177:{1,3,5,7}:{(147,1),(148,1),(149,1),(157,1),(199,1),(200,1),(223,1)}
       178:{1,4,6}:{(148,1),(158,1),(200,1),(201,1)}
       179:{1,3,4,7}:{(149,1),(150,1),(151,1),(159,1),(200,1),(202,1)}
       180:{1,3,5}:{(150,1),(152,1),(160,1),(201,1)}
       181:{1,2,5,7}:{(151,1),(152,1),(153,1),(202,1),(203,1)}
       182:{2,3,6}:{(153,1),(166,1),(203,1),(208,1)}
       183:{1,2,5,6,7}:{(154,1),(155,1),(156,1),(204,1),(209,1),(221,1),(223,1)}
       184:{3,6,7}:{(156,1),(157,1),(208,1)}
       185:{3,4,7}:{(157,1),(158,1),(195,1),(200,1)}
       186:{3,4,5}:{(158,1),(160,1),(196,1),(201,1)}
       187:{3,4,6,7}:{(159,1),(161,1),(207,1),(208,1),(227,1)}
       188:{3,5,7}:{(159,1),(160,1),(162,1),(208,1)}
       189:{1,2,5,7}:{(161,1),(163,1),(165,1),(207,1),(209,1),(221,1),(223,1)}
       190:{1,2,4,6}:{(162,1),(164,1),(166,1),(198,1),(203,1),(208,1),(209,1),(222,1),(224,1),(227,1)}
       191:{1,5,6}:{(163,1),(164,1),(168,1)}
       192:{2,5,6}:{(165,1),(166,1),(168,1)}
       193:{4,5,6}:{(167,1),(168,1),(227,1)}
       194:{2,3,6,7}:{(169,1),(170,1),(184,1),(210,1),(212,1)}
       195:{2,4,7}:{(170,1),(171,1),(185,1)}
       196:{2,4,5}:{(171,1),(173,1),(186,1)}
       197:{2,3,5,7}:{(172,1),(173,1),(174,1),(188,1),(211,1),(212,1)}
       198:{1,2,6}:{(174,1),(175,1),(212,1)}
       199:{1,3,6,7}:{(176,1),(177,1),(184,1),(213,1),(215,1)}
       200:{1,4,7}:{(177,1),(178,1),(185,1)}
       201:{1,4,5}:{(178,1),(180,1),(186,1)}
       202:{1,3,5,7}:{(179,1),(180,1),(181,1),(188,1),(214,1),(215,1)}
       203:{1,2,6}:{(181,1),(182,1),(215,1)}
       204:{3,5,6,7}:{(183,1),(184,1),(216,1),(217,1),(220,1)}
       205:{3,4,6,7}:{(184,1),(185,1),(210,1),(213,1),(216,1),(217,1),(218,1)}
       206:{3,4,5,7}:{(185,1),(186,1),(188,1),(211,1),(214,1),(217,1),(218,1),(219,1)}
       207:{3,5,7}:{(187,1),(189,1),(219,1),(220,1)}
       208:{3,6}:{(188,1),(190,1)}
       209:{1,2,5,6}:{(189,1),(190,1),(191,1),(192,1),(220,1),(228,1),(229,1)}
       210:{2,4,6,7}:{(194,1),(195,1),(205,1),(221,1),(222,1)}
       211:{2,4,5,7}:{(195,1),(196,1),(197,1),(206,1),(221,1),(222,1)}
       212:{2,3,6}:{(197,1),(198,1),(208,1),(222,1)}
       213:{1,4,6,7}:{(199,1),(200,1),(205,1),(223,1),(224,1)}
       214:{1,4,5,7}:{(200,1),(201,1),(202,1),(206,1),(223,1),(224,1)}
       215:{1,3,6}:{(202,1),(203,1),(208,1),(224,1)}
       216:{4,6,7}:{(204,1),(225,1),(227,1)}
       217:{3,5,7}:{(205,1),(221,1),(223,1),(225,1),(226,1)}
       218:{3,4,6}:{(206,1),(208,1),(222,1),(224,1),(226,1),(227,1)}
       219:{4,5,7}:{(207,1),(227,1)}
       220:{3,5,6}:{(207,1),(208,1),(209,1),(227,1)}
       221:{2,5,7}:{(210,1),(217,1),(228,1)}
       222:{2,4,6}:{(211,1),(212,1),(218,1),(228,1)}
       223:{1,5,7}:{(213,1),(217,1),(229,1)}
       224:{1,4,6}:{(214,1),(215,1),(218,1),(229,1)}
       225:{4,5,7}:{(216,1),(217,1),(230,1)}
       226:{3,5,6}:{(217,1),(218,1),(228,1),(229,1),(230,1)}
       227:{4,6}:{(219,1),(220,1)}
       228:{2,5,6}:{(221,1),(222,1),(226,1)}
       229:{1,5,6}:{(223,1),(224,1),(226,1)}
       230:{4,5,6}:{(225,1),(226,1),(227,1)}

1523 :   0:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(27,1),(29,1),(50,1),(66,1)}
         1:{2,3,5,6,7}:{(4,1),(6,1),(16,1),(28,1),(29,1),(56,1),(67,1)}
         2:{2,3,4,6,7}:{(7,1),(8,1),(15,1),(33,1),(49,1),(70,1),(72,1),(85,1),(108,1),(113,1),(119,1)}
         3:{1,3,4,6,7}:{(9,1),(10,1),(14,1),(38,1),(48,1),(76,1),(78,1),(84,1),(107,1),(112,1),(119,1)}
         4:{1,2,5,6,7}:{(0,1),(1,1),(13,1),(32,1),(37,1),(46,1),(47,1),(86,1)}
         5:{1,4,6,7}:{(0,1),(11,1),(14,1),(38,1),(69,1),(84,1)}
         6:{2,4,6,7}:{(1,1),(12,1),(15,1),(33,1),(75,1),(85,1)}
         7:{1,2,4,6,7}:{(2,1),(17,1),(18,1),(31,1),(51,1),(53,1),(68,1),(105,1),(126,1)}
         8:{2,3,5,7}:{(2,1),(16,1),(18,1),(19,1),(28,1),(54,1),(121,1),(125,1)}
         9:{1,2,4,6,7}:{(3,1),(21,1),(22,1),(30,1),(57,1),(59,1),(68,1),(105,1),(122,1)}
        10:{1,3,5,7}:{(3,1),(20,1),(22,1),(23,1),(27,1),(60,1),(120,1),(124,1)}
        11:{1,4,5,7}:{(5,1),(24,1),(27,1),(87,1)}
        12:{2,4,5,7}:{(6,1),(25,1),(28,1),(94,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(26,1),(29,1),(30,1),(31,1),(51,1),(57,1),(68,1),(105,1)}
        14:{3,4,6,7}:{(5,1),(27,1),(29,1),(30,1),(58,1),(65,1),(88,1)}
        15:{3,4,6,7}:{(6,1),(28,1),(29,1),(31,1),(52,1),(65,1),(95,1)}
        16:{2,3,5,6}:{(8,1),(32,1),(33,1),(44,1),(70,1)}
        17:{1,3,6,7}:{(7,1),(34,1),(70,1),(119,1),(133,1)}
        18:{1,2,5,7}:{(7,1),(8,1),(32,1),(34,1),(47,1),(132,1)}
        19:{2,4,5,7}:{(8,1),(33,1),(36,1),(85,1),(117,1)}
        20:{1,3,5,6}:{(10,1),(37,1),(38,1),(43,1),(76,1)}
        21:{2,3,6,7}:{(9,1),(39,1),(76,1),(119,1),(131,1)}
        22:{1,2,5,7}:{(9,1),(10,1),(37,1),(39,1),(46,1),(130,1)}
        23:{1,4,5,7}:{(10,1),(38,1),(41,1),(84,1),(116,1)}
        24:{1,4,5,6}:{(11,1),(38,1),(43,1)}
        25:{2,4,5,6}:{(12,1),(33,1),(44,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(42,1),(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        27:{3,5,7}:{(11,1),(14,1),(43,1),(46,1),(106,1)}
        28:{3,5,7}:{(12,1),(15,1),(44,1),(47,1),(111,1)}
        29:{3,6,7}:{(13,1),(45,1),(70,1),(76,1),(119,1)}
        30:{2,4,6,7}:{(14,1),(46,1),(49,1),(77,1),(85,1),(108,1)}
        31:{1,4,6,7}:{(15,1),(47,1),(48,1),(71,1),(84,1),(112,1)}
        32:{1,2,5,6}:{(16,1),(18,1),(50,1),(51,1),(64,1),(121,1)}
        33:{2,4,6}:{(16,1),(19,1),(52,1)}
        34:{1,3,5,7}:{(17,1),(18,1),(50,1),(53,1),(54,1),(136,1)}
        35:{1,2,4,5,7}:{(18,1),(19,1),(51,1),(53,1),(54,1),(55,1),(87,1),(92,1),(93,1),(105,1),(121,1),(128,1)}
        36:{3,4,5,7}:{(19,1),(28,1),(52,1),(54,1),(55,1),(65,1),(101,1)}
        37:{1,2,5,6}:{(20,1),(22,1),(56,1),(57,1),(63,1),(124,1)}
        38:{1,4,6}:{(20,1),(23,1),(58,1)}
        39:{2,3,5,7}:{(21,1),(22,1),(56,1),(59,1),(60,1),(135,1)}
        40:{1,2,4,5,7}:{(22,1),(23,1),(57,1),(59,1),(60,1),(61,1),(94,1),(98,1),(100,1),(105,1),(124,1),(128,1)}
        41:{3,4,5,7}:{(23,1),(27,1),(58,1),(60,1),(61,1),(65,1),(101,1)}
        42:{1,2,4,5,6}:{(24,1),(25,1),(26,1),(51,1),(57,1),(62,1),(63,1),(64,1),(87,1),(94,1),(102,1),(103,1),(104,1),(121,1),(124,1),(128,1)}
        43:{3,5,6}:{(24,1),(27,1),(58,1),(63,1)}
        44:{3,5,6}:{(25,1),(28,1),(52,1),(64,1)}
        45:{3,5,7}:{(26,1),(29,1),(62,1),(65,1)}
        46:{2,5,7}:{(27,1),(30,1),(63,1),(121,1)}
        47:{1,5,7}:{(28,1),(31,1),(64,1),(124,1)}
        48:{1,3,6,7}:{(29,1),(31,1),(66,1),(68,1),(89,1),(96,1)}
        49:{2,3,6,7}:{(29,1),(30,1),(67,1),(68,1),(90,1),(97,1)}
        50:{1,3,5,6}:{(32,1),(34,1),(69,1),(70,1),(106,1)}
        51:{1,2,4,6}:{(32,1),(33,1),(35,1),(69,1),(70,1),(71,1),(108,1),(109,1)}
        52:{3,4,6}:{(33,1),(36,1),(44,1),(70,1),(71,1)}
        53:{1,4,7}:{(34,1),(69,1),(72,1),(139,1)}
        54:{3,5,7}:{(35,1),(70,1),(72,1),(106,1),(119,1),(134,1)}
        55:{1,4,5,7}:{(36,1),(47,1),(71,1),(73,1),(84,1),(116,1)}
        56:{2,3,5,6}:{(37,1),(39,1),(75,1),(76,1),(111,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(40,1),(75,1),(76,1),(77,1),(112,1),(114,1)}
        58:{3,4,6}:{(38,1),(41,1),(43,1),(76,1),(77,1)}
        59:{2,4,7}:{(39,1),(75,1),(78,1),(138,1)}
        60:{3,5,7}:{(40,1),(76,1),(78,1),(111,1),(119,1),(134,1)}
        61:{2,4,5,7}:{(41,1),(46,1),(77,1),(80,1),(85,1),(117,1)}
        62:{3,5,6}:{(42,1),(45,1),(70,1),(76,1),(81,1),(106,1),(111,1),(134,1)}
        63:{2,5,6}:{(43,1),(46,1),(77,1)}
        64:{1,5,6}:{(44,1),(47,1),(71,1)}
        65:{3,4,7}:{(45,1),(81,1),(84,1),(85,1),(119,1)}
        66:{1,3,5,7}:{(45,1),(47,1),(48,1),(82,1),(84,1),(86,1),(119,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(49,1),(83,1),(85,1),(86,1),(119,1)}
        68:{1,2,6,7}:{(48,1),(49,1),(86,1),(109,1),(114,1)}
        69:{1,4,6}:{(50,1),(53,1),(87,1),(88,1)}
        70:{3,6}:{(51,1),(54,1)}
        71:{1,4,6}:{(52,1),(55,1),(64,1),(89,1)}
        72:{3,4,7}:{(53,1),(54,1),(88,1),(92,1),(137,1)}
        73:{1,3,5,7}:{(54,1),(55,1),(89,1),(91,1),(93,1),(120,1)}
        74:{2,3,5,7}:{(54,1),(90,1),(92,1),(93,1),(121,1),(123,1),(135,1)}
        75:{2,4,6}:{(56,1),(59,1),(94,1),(95,1)}
        76:{3,6}:{(57,1),(60,1)}
        77:{2,4,6}:{(58,1),(61,1),(63,1),(97,1)}
        78:{3,4,7}:{(59,1),(60,1),(95,1),(98,1),(137,1)}
        79:{1,3,5,7}:{(60,1),(96,1),(98,1),(100,1),(124,1),(127,1),(136,1)}
        80:{2,3,5,7}:{(60,1),(61,1),(97,1),(99,1),(100,1),(125,1)}
        81:{3,4,6}:{(62,1),(65,1),(101,1),(102,1),(103,1),(129,1),(137,1)}
        82:{1,3,5,6}:{(62,1),(64,1),(66,1),(89,1),(96,1),(102,1),(104,1),(120,1),(124,1),(129,1),(136,1)}
        83:{2,3,5,6}:{(62,1),(63,1),(67,1),(90,1),(97,1),(103,1),(104,1),(121,1),(125,1),(129,1),(135,1)}
        84:{1,4,7}:{(65,1),(66,1),(102,1)}
        85:{2,4,7}:{(65,1),(67,1),(103,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(104,1),(105,1)}
        87:{1,4,5}:{(69,1),(106,1)}
        88:{3,4,6}:{(69,1),(70,1),(72,1),(106,1),(108,1)}
        89:{1,3,6}:{(70,1),(71,1),(73,1),(109,1)}
        90:{2,3,6}:{(70,1),(74,1),(108,1),(109,1)}
        91:{1,3,4,7}:{(72,1),(73,1),(84,1),(107,1),(110,1),(119,1)}
        92:{2,4,7}:{(72,1),(74,1),(108,1),(138,1)}
        93:{1,2,5,7}:{(73,1),(74,1),(109,1),(110,1),(130,1)}
        94:{2,4,5}:{(75,1),(111,1)}
        95:{3,4,6}:{(75,1),(76,1),(78,1),(111,1),(112,1)}
        96:{1,3,6}:{(76,1),(79,1),(112,1),(114,1)}
        97:{2,3,6}:{(76,1),(77,1),(80,1),(114,1)}
        98:{1,4,7}:{(78,1),(79,1),(112,1),(139,1)}
        99:{2,3,4,7}:{(78,1),(80,1),(85,1),(113,1),(115,1),(119,1)}
       100:{1,2,5,7}:{(79,1),(80,1),(114,1),(115,1),(132,1)}
       101:{3,4,5}:{(81,1),(106,1),(111,1),(116,1),(117,1),(134,1)}
       102:{1,4,6}:{(81,1),(82,1),(84,1),(116,1),(139,1)}
       103:{2,4,6}:{(81,1),(83,1),(85,1),(117,1),(138,1)}
       104:{1,2,5,6}:{(82,1),(83,1),(86,1),(109,1),(114,1),(118,1),(130,1),(132,1)}
       105:{1,2,4,7}:{(84,1),(85,1),(86,1),(118,1),(119,1)}
       106:{3,5}:{(87,1),(88,1),(121,1)}
       107:{1,3,4,6}:{(88,1),(89,1),(91,1),(102,1),(120,1),(122,1),(129,1),(137,1)}
       108:{2,4,6}:{(88,1),(90,1),(92,1),(121,1)}
       109:{1,2,6}:{(89,1),(90,1),(93,1)}
       110:{1,2,4,7}:{(91,1),(92,1),(93,1),(122,1),(123,1)}
       111:{3,5}:{(94,1),(95,1),(124,1)}
       112:{1,4,6}:{(95,1),(96,1),(98,1),(124,1)}
       113:{2,3,4,6}:{(95,1),(97,1),(99,1),(103,1),(125,1),(126,1),(129,1),(137,1)}
       114:{1,2,6}:{(96,1),(97,1),(100,1)}
       115:{1,2,4,7}:{(98,1),(99,1),(100,1),(126,1),(127,1)}
       116:{1,4,5}:{(101,1),(102,1),(120,1),(124,1)}
       117:{2,4,5}:{(101,1),(103,1),(121,1),(125,1)}
       118:{1,2,4,6}:{(102,1),(103,1),(104,1),(105,1),(128,1),(129,1)}
       119:{3,7}:{(105,1),(129,1)}
       120:{1,3,5}:{(106,1),(107,1),(116,1),(130,1),(134,1)}
       121:{2,5}:{(106,1),(108,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(110,1),(130,1),(131,1),(138,1)}
       123:{2,3,7}:{(110,1),(119,1),(131,1)}
       124:{1,5}:{(111,1),(112,1)}
       125:{2,3,5}:{(111,1),(113,1),(117,1),(132,1),(134,1)}
       126:{1,2,4,6}:{(112,1),(113,1),(114,1),(115,1),(132,1),(133,1),(139,1)}
       127:{1,3,7}:{(115,1),(119,1),(133,1)}
       128:{1,2,4,5}:{(116,1),(117,1),(118,1),(130,1),(132,1),(134,1),(138,1),(139,1)}
       129:{3,6}:{(118,1),(119,1),(134,1)}
       130:{1,2,5}:{(120,1),(121,1),(122,1),(135,1)}
       131:{2,3,6}:{(122,1),(123,1),(129,1),(135,1)}
       132:{1,2,5}:{(124,1),(125,1),(126,1),(136,1)}
       133:{1,3,6}:{(126,1),(127,1),(129,1),(136,1)}
       134:{3,5}:{(128,1),(129,1),(137,1)}
       135:{2,3,5}:{(130,1),(131,1),(134,1),(138,1)}
       136:{1,3,5}:{(132,1),(133,1),(134,1),(139,1)}
       137:{3,4}:{(134,1),(138,1),(139,1)}
       138:{2,4}:{(135,1),(137,1)}
       139:{1,4}:{(136,1),(137,1)}

1524 :   0:{1,2,4,5,6,7}:{(1,1),(8,1),(9,1),(10,1),(19,1),(29,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(35,1),(46,1)}
         2:{1,2,3,5,6,7}:{(6,1),(10,1),(20,1),(30,1),(55,1),(56,1),(57,1),(58,1),(60,1),(62,1),(102,1),(103,1),(147,1),(163,1),(166,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(30,1),(51,1),(64,1)}
         4:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(25,1),(30,1),(55,1),(60,1)}
         5:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(23,1),(30,1),(56,1),(62,1)}
         6:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(73,1),(74,1),(81,1),(83,1),(128,1),(171,1),(173,1)}
         7:{3,4,5,7}:{(3,1),(15,1),(16,1),(17,1),(46,1)}
         8:{1,4,6,7}:{(3,1),(4,1),(16,1),(73,1),(81,1)}
         9:{2,4,6,7}:{(3,1),(5,1),(17,1),(74,1),(83,1)}
        10:{1,2,5,6,7}:{(4,1),(5,1),(18,1),(40,1),(43,1),(78,1)}
        11:{1,2,4,5,7}:{(6,1),(19,1),(20,1),(52,1),(53,1),(57,1),(149,1)}
        12:{3,4,6,7}:{(6,1),(20,1),(30,1),(51,1),(64,1),(147,1),(148,1),(169,1)}
        13:{2,3,4,6,7}:{(9,1),(23,1),(24,1),(30,1),(47,1),(64,1)}
        14:{1,3,4,6,7}:{(8,1),(25,1),(26,1),(30,1),(49,1),(64,1)}
        15:{3,4,5,6}:{(7,1),(27,1),(28,1),(51,1),(63,1),(170,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(25,1),(27,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(23,1),(28,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(29,1),(30,1),(100,1)}
        19:{1,2,4,5,6}:{(11,1),(35,1),(73,1),(74,1),(78,1)}
        20:{3,5,7}:{(11,1),(12,1),(35,1),(162,1)}
        21:{1,3,4,6,7}:{(12,1),(36,1),(38,1),(41,1),(73,1),(81,1),(114,1),(126,1),(127,1),(157,1),(158,1),(173,1)}
        22:{2,3,4,6,7}:{(12,1),(37,1),(38,1),(44,1),(74,1),(83,1),(121,1),(126,1),(127,1),(152,1),(153,1),(171,1)}
        23:{2,3,5,7}:{(13,1),(17,1),(39,1),(40,1),(46,1)}
        24:{1,2,4,6,7}:{(13,1),(40,1),(41,1),(66,1),(81,1)}
        25:{1,3,5,7}:{(14,1),(16,1),(42,1),(43,1),(46,1)}
        26:{1,2,4,6,7}:{(14,1),(43,1),(44,1),(69,1),(83,1)}
        27:{1,4,5,6}:{(15,1),(16,1),(42,1),(73,1),(174,1)}
        28:{2,4,5,6}:{(15,1),(17,1),(39,1),(74,1),(172,1)}
        29:{1,2,4,5,7}:{(16,1),(17,1),(18,1),(40,1),(43,1),(45,1),(46,1),(81,1),(83,1)}
        30:{3,6,7}:{(18,1),(46,1),(126,1)}
        31:{2,3,4,5,7}:{(23,1),(47,1),(48,1),(53,1),(64,1),(101,1),(107,1),(135,1),(165,1)}
        32:{1,3,4,5,7}:{(25,1),(49,1),(50,1),(52,1),(64,1),(101,1),(107,1),(142,1),(168,1)}
        33:{3,4,5,7}:{(20,1),(51,1),(52,1),(53,1),(64,1),(101,1),(107,1),(169,1),(170,1)}
        34:{1,2,4,5,6,7}:{(19,1),(54,1),(98,1),(99,1),(102,1),(145,1)}
        35:{3,5,6}:{(19,1),(20,1),(51,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(52,1),(55,1),(57,1),(101,1),(137,1),(168,1)}
        37:{2,3,5,7}:{(20,1),(22,1),(53,1),(56,1),(57,1),(101,1),(144,1),(165,1)}
        38:{1,2,4,6,7}:{(21,1),(22,1),(57,1),(58,1),(100,1),(104,1),(136,1),(143,1)}
        39:{2,3,5,6}:{(23,1),(28,1),(47,1),(59,1),(63,1),(165,1)}
        40:{1,2,5,7}:{(23,1),(24,1),(59,1),(60,1)}
        41:{1,3,6,7}:{(24,1),(30,1),(60,1),(88,1)}
        42:{1,3,5,6}:{(25,1),(27,1),(49,1),(61,1),(63,1),(168,1)}
        43:{1,2,5,7}:{(25,1),(26,1),(61,1),(62,1)}
        44:{2,3,6,7}:{(26,1),(30,1),(62,1),(93,1)}
        45:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(59,1),(61,1),(63,1),(100,1),(105,1),(106,1),(149,1)}
        46:{3,5,7}:{(29,1),(30,1),(63,1),(64,1)}
        47:{2,3,4,6}:{(31,1),(39,1),(66,1),(74,1),(84,1),(126,1)}
        48:{1,2,4,5,7}:{(31,1),(40,1),(66,1),(67,1),(81,1),(113,1),(129,1),(154,1)}
        49:{1,3,4,6}:{(32,1),(42,1),(69,1),(73,1),(84,1),(126,1)}
        50:{1,2,4,5,7}:{(32,1),(43,1),(69,1),(70,1),(83,1),(120,1),(130,1),(159,1)}
        51:{3,4,6}:{(33,1),(35,1),(73,1),(74,1),(126,1)}
        52:{1,4,5,7}:{(33,1),(36,1),(73,1),(81,1),(129,1),(173,1),(174,1)}
        53:{2,4,5,7}:{(33,1),(37,1),(74,1),(83,1),(130,1),(171,1),(172,1)}
        54:{3,5,6,7}:{(34,1),(35,1),(72,1),(160,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(73,1),(78,1),(126,1)}
        56:{2,3,5,6}:{(35,1),(37,1),(74,1),(78,1),(126,1)}
        57:{1,2,5,7}:{(36,1),(37,1),(38,1),(78,1),(154,1),(159,1)}
        58:{1,2,3,6,7}:{(38,1),(41,1),(44,1),(79,1),(112,1),(119,1),(126,1),(152,1),(157,1)}
        59:{1,2,5,6}:{(39,1),(40,1),(66,1),(80,1),(154,1)}
        60:{1,3,5,7}:{(40,1),(41,1),(46,1),(80,1),(81,1)}
        61:{1,2,5,6}:{(42,1),(43,1),(69,1),(82,1),(159,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(46,1),(82,1),(83,1)}
        63:{3,5,6}:{(45,1),(46,1),(84,1),(126,1),(162,1)}
        64:{3,4,7}:{(46,1),(81,1),(83,1),(84,1)}
        65:{1,3,4,5,7}:{(52,1),(85,1),(86,1),(89,1),(101,1),(131,1),(137,1),(169,1),(170,1)}
        66:{1,2,4,6}:{(47,1),(48,1),(59,1),(88,1),(105,1)}
        67:{1,3,5,7}:{(48,1),(88,1),(89,1),(101,1),(137,1)}
        68:{2,3,4,5,7}:{(53,1),(90,1),(91,1),(94,1),(101,1),(138,1),(144,1),(169,1),(170,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(61,1),(93,1),(106,1)}
        70:{2,3,5,7}:{(50,1),(93,1),(94,1),(101,1),(144,1)}
        71:{3,4,5,6}:{(51,1),(95,1),(96,1),(97,1),(107,1),(146,1)}
        72:{3,4,6,7}:{(51,1),(54,1),(95,1),(98,1),(99,1),(147,1),(169,1)}
        73:{1,4,6}:{(51,1),(52,1),(55,1)}
        74:{2,4,6}:{(51,1),(53,1),(56,1)}
        75:{1,2,4,5,7}:{(52,1),(53,1),(57,1),(100,1),(101,1),(104,1),(149,1)}
        76:{1,3,5,6,7}:{(54,1),(55,1),(98,1),(102,1),(131,1),(147,1),(166,1)}
        77:{2,3,5,6,7}:{(54,1),(56,1),(99,1),(102,1),(138,1),(147,1),(163,1)}
        78:{1,2,5,6}:{(55,1),(56,1),(57,1),(100,1)}
        79:{1,2,3,5,7}:{(57,1),(58,1),(60,1),(62,1),(101,1),(103,1),(104,1),(163,1),(166,1)}
        80:{1,3,5,6}:{(59,1),(60,1),(63,1),(88,1),(105,1),(137,1)}
        81:{1,4,7}:{(60,1),(64,1),(105,1)}
        82:{2,3,5,6}:{(61,1),(62,1),(63,1),(93,1),(106,1),(144,1)}
        83:{2,4,7}:{(62,1),(64,1),(106,1)}
        84:{3,4,6}:{(63,1),(64,1),(105,1),(106,1),(107,1)}
        85:{1,3,4,6}:{(65,1),(73,1),(108,1),(110,1),(126,1),(161,1)}
        86:{1,2,4,5,7}:{(65,1),(110,1),(111,1),(113,1),(150,1),(154,1),(171,1),(172,1)}
        87:{1,2,3,5,7}:{(67,1),(111,1),(112,1),(113,1),(154,1)}
        88:{1,3,6}:{(66,1),(67,1),(126,1)}
        89:{1,3,4,7}:{(67,1),(81,1),(113,1),(114,1),(127,1)}
        90:{2,3,4,6}:{(68,1),(74,1),(115,1),(117,1),(126,1),(161,1)}
        91:{1,2,4,5,7}:{(68,1),(117,1),(118,1),(120,1),(155,1),(159,1),(173,1),(174,1)}
        92:{1,2,3,5,7}:{(70,1),(118,1),(119,1),(120,1),(159,1)}
        93:{2,3,6}:{(69,1),(70,1),(126,1)}
        94:{2,3,4,7}:{(70,1),(83,1),(120,1),(121,1),(127,1)}
        95:{3,4,5,7}:{(71,1),(72,1),(122,1),(123,1),(160,1)}
        96:{1,4,5,6}:{(71,1),(73,1),(108,1),(122,1),(129,1)}
        97:{2,4,5,6}:{(71,1),(74,1),(115,1),(123,1),(130,1)}
        98:{1,4,6,7}:{(72,1),(73,1),(76,1),(122,1),(173,1)}
        99:{2,4,6,7}:{(72,1),(74,1),(77,1),(123,1),(171,1)}
       100:{1,2,4,6}:{(73,1),(74,1),(75,1),(78,1),(126,1)}
       101:{3,5,7}:{(75,1),(126,1),(127,1),(162,1)}
       102:{1,2,5,6,7}:{(76,1),(77,1),(78,1),(125,1),(150,1),(155,1)}
       103:{1,2,3,5,6}:{(78,1),(79,1),(80,1),(82,1),(112,1),(119,1),(126,1),(128,1),(151,1),(154,1),(156,1),(159,1),(162,1)}
       104:{1,2,4,7}:{(79,1),(81,1),(83,1),(127,1),(128,1),(171,1),(173,1)}
       105:{1,4,6}:{(80,1),(81,1),(84,1),(129,1)}
       106:{2,4,6}:{(82,1),(83,1),(84,1),(130,1)}
       107:{3,4,5}:{(84,1),(129,1),(130,1),(162,1)}
       108:{1,3,5,6}:{(85,1),(96,1),(131,1),(132,1),(137,1),(146,1)}
       109:{1,3,4,6,7}:{(85,1),(98,1),(131,1),(133,1),(147,1),(169,1)}
       110:{1,2,4,6}:{(85,1),(86,1),(132,1),(134,1),(164,1)}
       111:{2,3,5,7}:{(86,1),(101,1),(134,1),(135,1),(165,1)}
       112:{1,2,3,6}:{(87,1),(88,1),(134,1),(136,1)}
       113:{1,2,4,7}:{(87,1),(89,1),(135,1),(136,1)}
       114:{1,3,4,6}:{(88,1),(89,1),(105,1),(136,1),(137,1),(148,1)}
       115:{2,3,5,6}:{(90,1),(97,1),(138,1),(139,1),(144,1),(146,1)}
       116:{2,3,4,6,7}:{(90,1),(99,1),(138,1),(140,1),(147,1),(169,1)}
       117:{1,2,4,6}:{(90,1),(91,1),(139,1),(141,1),(167,1)}
       118:{1,3,5,7}:{(91,1),(101,1),(141,1),(142,1),(168,1)}
       119:{1,2,3,6}:{(92,1),(93,1),(141,1),(143,1)}
       120:{1,2,4,7}:{(92,1),(94,1),(142,1),(143,1)}
       121:{2,3,4,6}:{(93,1),(94,1),(106,1),(143,1),(144,1),(148,1)}
       122:{1,4,5,7}:{(95,1),(96,1),(98,1),(131,1)}
       123:{2,4,5,7}:{(95,1),(97,1),(99,1),(138,1)}
       124:{1,2,4,5,6}:{(96,1),(97,1),(100,1),(132,1),(139,1),(145,1),(146,1),(149,1),(164,1),(167,1)}
       125:{1,2,4,6,7}:{(98,1),(99,1),(100,1),(102,1),(145,1),(147,1)}
       126:{3,6}:{(100,1),(101,1)}
       127:{3,4,7}:{(101,1),(104,1),(148,1)}
       128:{1,2,4,6}:{(103,1),(104,1),(105,1),(106,1),(148,1),(149,1),(164,1),(167,1)}
       129:{1,4,5}:{(105,1),(107,1),(137,1)}
       130:{2,4,5}:{(106,1),(107,1),(144,1)}
       131:{1,3,5,7}:{(108,1),(109,1),(122,1),(150,1),(160,1)}
       132:{1,2,5,6}:{(108,1),(110,1),(150,1),(151,1),(154,1)}
       133:{1,2,4,6,7}:{(109,1),(110,1),(150,1),(152,1),(171,1)}
       134:{2,3,6}:{(110,1),(111,1),(126,1)}
       135:{2,3,4,7}:{(111,1),(113,1),(127,1),(153,1),(171,1)}
       136:{1,2,4,6}:{(112,1),(113,1),(114,1),(153,1),(154,1)}
       137:{1,3,5}:{(114,1),(129,1),(154,1),(162,1)}
       138:{2,3,5,7}:{(115,1),(116,1),(123,1),(155,1),(160,1)}
       139:{1,2,5,6}:{(115,1),(117,1),(155,1),(156,1),(159,1)}
       140:{1,2,4,6,7}:{(116,1),(117,1),(155,1),(157,1),(173,1)}
       141:{1,3,6}:{(117,1),(118,1),(126,1)}
       142:{1,3,4,7}:{(118,1),(120,1),(127,1),(158,1),(173,1)}
       143:{1,2,4,6}:{(119,1),(120,1),(121,1),(158,1),(159,1)}
       144:{2,3,5}:{(121,1),(130,1),(159,1),(162,1)}
       145:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(125,1),(150,1),(155,1),(160,1),(171,1),(173,1)}
       146:{3,5,6}:{(124,1),(126,1),(160,1),(161,1),(162,1)}
       147:{3,6,7}:{(125,1),(126,1),(160,1)}
       148:{3,4,6}:{(126,1),(127,1),(128,1),(162,1)}
       149:{1,2,4,5}:{(128,1),(129,1),(130,1),(154,1),(159,1),(162,1),(172,1),(174,1)}
       150:{1,2,5,7}:{(131,1),(132,1),(133,1),(163,1)}
       151:{2,3,5,6}:{(132,1),(134,1),(146,1),(163,1),(164,1),(165,1)}
       152:{2,3,6,7}:{(133,1),(134,1),(147,1),(163,1)}
       153:{2,3,4,6}:{(134,1),(135,1),(136,1),(148,1),(164,1),(165,1)}
       154:{1,2,5}:{(136,1),(137,1),(165,1)}
       155:{1,2,5,7}:{(138,1),(139,1),(140,1),(166,1)}
       156:{1,3,5,6}:{(139,1),(141,1),(146,1),(166,1),(167,1),(168,1)}
       157:{1,3,6,7}:{(140,1),(141,1),(147,1),(166,1)}
       158:{1,3,4,6}:{(141,1),(142,1),(143,1),(148,1),(167,1),(168,1)}
       159:{1,2,5}:{(143,1),(144,1),(168,1)}
       160:{3,5,7}:{(145,1),(146,1),(147,1),(169,1)}
       161:{3,4,6}:{(146,1),(164,1),(167,1),(169,1),(170,1)}
       162:{3,5}:{(148,1),(149,1)}
       163:{2,3,5,7}:{(150,1),(151,1),(152,1),(160,1),(171,1)}
       164:{2,4,6}:{(151,1),(161,1),(171,1),(172,1)}
       165:{2,3,5}:{(153,1),(154,1),(162,1),(172,1)}
       166:{1,3,5,7}:{(155,1),(156,1),(157,1),(160,1),(173,1)}
       167:{1,4,6}:{(156,1),(161,1),(173,1),(174,1)}
       168:{1,3,5}:{(158,1),(159,1),(162,1),(174,1)}
       169:{3,4,7}:{(160,1),(161,1),(171,1),(173,1)}
       170:{3,4,5}:{(161,1),(162,1),(172,1),(174,1)}
       171:{2,4,7}:{(163,1),(164,1),(169,1)}
       172:{2,4,5}:{(164,1),(165,1),(170,1)}
       173:{1,4,7}:{(166,1),(167,1),(169,1)}
       174:{1,4,5}:{(167,1),(168,1),(170,1)}

1525 :   0:{1,2,3,6,7}:{(2,1),(3,1),(35,1),(71,1),(72,1),(73,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(11,1),(15,1),(35,1),(43,1),(44,1),(45,1),(46,1),(73,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(84,1),(85,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(22,1),(55,1),(56,1),(61,1),(62,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(58,1),(59,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(13,1),(32,1),(35,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(11,1),(94,1),(95,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(13,1),(75,1),(76,1)}
         8:{1,2,4,5}:{(4,1),(15,1),(40,1),(41,1),(45,1)}
         9:{3,4,6}:{(4,1),(13,1),(15,1),(35,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,5,6}:{(6,1),(18,1),(21,1),(82,1),(83,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(21,1),(22,1),(50,1),(51,1),(55,1)}
        13:{3,4,7}:{(7,1),(9,1),(22,1)}
        14:{1,2,4,5,6}:{(8,1),(21,1),(26,1),(27,1),(47,1),(58,1),(59,1),(63,1),(82,1),(83,1)}
        15:{3,5}:{(8,1),(9,1)}
        16:{1,3,4,6}:{(9,1),(23,1),(28,1),(30,1),(53,1),(58,1),(92,1),(93,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(24,1),(29,1),(30,1),(54,1),(59,1),(92,1),(93,1),(105,1)}
        18:{3,5,6}:{(10,1),(11,1),(32,1),(35,1)}
        19:{4,5,7}:{(10,1),(32,1)}
        20:{1,2,5,6,7}:{(11,1),(31,1),(34,1),(94,1),(95,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(32,1),(35,1),(68,1),(69,1),(73,1)}
        22:{3,5,7}:{(12,1),(13,1),(15,1),(35,1)}
        23:{1,3,4,7}:{(13,1),(16,1),(36,1),(38,1),(75,1),(99,1),(101,1)}
        24:{2,3,4,7}:{(13,1),(17,1),(37,1),(38,1),(76,1),(99,1),(101,1)}
        25:{3,4,5}:{(15,1),(39,1),(40,1),(41,1),(78,1)}
        26:{1,2,4,5,7}:{(14,1),(34,1),(42,1),(65,1),(75,1),(76,1),(79,1),(94,1),(95,1)}
        27:{3,5,6}:{(14,1),(15,1),(35,1),(39,1),(42,1)}
        28:{1,3,5}:{(15,1),(16,1),(40,1),(45,1),(78,1),(109,1)}
        29:{2,3,5}:{(15,1),(17,1),(41,1),(45,1),(78,1),(109,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(38,1),(45,1),(46,1),(73,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(20,1),(48,1),(52,1),(81,1)}
        32:{4,6}:{(18,1),(19,1)}
        33:{3,4,5,7}:{(19,1),(22,1),(25,1),(49,1),(50,1),(51,1),(57,1),(81,1),(87,1),(110,1),(111,1)}
        34:{1,2,4,6,7}:{(20,1),(21,1),(26,1),(48,1),(52,1),(84,1),(85,1),(88,1)}
        35:{3,6}:{(21,1),(22,1)}
        36:{1,3,5,7}:{(22,1),(23,1),(28,1),(50,1),(53,1),(55,1),(87,1)}
        37:{2,3,5,7}:{(22,1),(24,1),(29,1),(51,1),(54,1),(55,1),(87,1)}
        38:{1,2,4,7}:{(23,1),(24,1),(30,1),(55,1),(56,1)}
        39:{3,4,6}:{(25,1),(27,1),(57,1),(58,1),(59,1),(92,1)}
        40:{1,4,5}:{(25,1),(28,1),(58,1),(111,1)}
        41:{2,4,5}:{(25,1),(29,1),(59,1),(111,1)}
        42:{3,5,7}:{(26,1),(27,1),(52,1),(57,1)}
        43:{1,3,5,6}:{(27,1),(28,1),(53,1),(58,1),(61,1),(63,1),(82,1),(92,1),(103,1)}
        44:{2,3,5,6}:{(27,1),(29,1),(54,1),(59,1),(62,1),(63,1),(83,1),(92,1),(103,1)}
        45:{1,2,5}:{(28,1),(29,1),(30,1)}
        46:{1,2,3,6}:{(30,1),(56,1),(64,1),(92,1)}
        47:{4,5,6}:{(32,1),(65,1),(66,1),(108,1)}
        48:{4,6,7}:{(31,1),(32,1),(65,1)}
        49:{3,4,6}:{(32,1),(33,1),(35,1),(66,1),(68,1),(69,1),(98,1),(108,1)}
        50:{1,4,5,7}:{(33,1),(36,1),(40,1),(68,1),(75,1),(94,1)}
        51:{2,4,5,7}:{(33,1),(37,1),(41,1),(69,1),(76,1),(95,1)}
        52:{3,6,7}:{(34,1),(35,1),(42,1)}
        53:{1,3,6}:{(35,1),(36,1),(68,1),(73,1),(98,1)}
        54:{2,3,6}:{(35,1),(37,1),(69,1),(73,1),(98,1)}
        55:{1,2,5,7}:{(36,1),(37,1),(38,1),(45,1),(73,1)}
        56:{1,2,3,7}:{(38,1),(46,1),(101,1)}
        57:{3,4,7}:{(39,1),(42,1),(75,1),(76,1),(101,1)}
        58:{1,4,6}:{(39,1),(40,1),(43,1),(75,1),(108,1)}
        59:{2,4,6}:{(39,1),(41,1),(44,1),(76,1),(108,1)}
        60:{1,2,4,5}:{(40,1),(41,1),(45,1),(77,1),(78,1),(80,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(71,1),(75,1),(79,1),(94,1),(101,1),(107,1)}
        62:{2,3,5,7}:{(42,1),(44,1),(72,1),(76,1),(79,1),(95,1),(101,1),(107,1)}
        63:{1,2,5,6}:{(43,1),(44,1),(45,1),(73,1),(77,1),(79,1)}
        64:{1,2,3,5}:{(45,1),(46,1),(78,1),(80,1)}
        65:{4,5,7}:{(47,1),(48,1),(81,1),(110,1)}
        66:{3,5,6}:{(47,1),(49,1),(81,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(48,1),(49,1),(52,1),(57,1),(81,1),(84,1),(85,1),(104,1),(110,1)}
        68:{1,4,6}:{(49,1),(50,1),(53,1),(82,1)}
        69:{2,4,6}:{(49,1),(51,1),(54,1),(83,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(55,1),(60,1),(86,1),(87,1),(90,1),(91,1),(102,1),(106,1),(110,1),(111,1)}
        71:{1,3,6,7}:{(52,1),(53,1),(61,1),(84,1),(88,1),(104,1)}
        72:{2,3,6,7}:{(52,1),(54,1),(62,1),(85,1),(88,1),(104,1)}
        73:{1,2,6}:{(53,1),(54,1),(55,1)}
        74:{1,2,3,5,7}:{(55,1),(56,1),(64,1),(87,1),(89,1),(90,1),(106,1)}
        75:{1,4,7}:{(57,1),(58,1),(61,1),(110,1)}
        76:{2,4,7}:{(57,1),(59,1),(62,1),(110,1)}
        77:{1,2,4,6}:{(58,1),(59,1),(60,1),(63,1),(91,1),(92,1)}
        78:{3,5}:{(60,1),(92,1),(93,1)}
        79:{1,2,5,7}:{(61,1),(62,1),(63,1),(88,1),(91,1)}
        80:{1,2,4}:{(64,1),(93,1)}
        81:{3,5,7}:{(65,1),(66,1),(67,1),(94,1),(95,1)}
        82:{1,5,6}:{(66,1),(68,1),(94,1)}
        83:{2,5,6}:{(66,1),(69,1),(95,1)}
        84:{1,4,6,7}:{(67,1),(68,1),(71,1),(75,1),(94,1)}
        85:{2,4,6,7}:{(67,1),(69,1),(72,1),(76,1),(95,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(70,1),(73,1),(96,1),(98,1),(108,1)}
        87:{3,5,7}:{(70,1),(78,1),(98,1),(99,1),(101,1),(109,1)}
        88:{1,2,6,7}:{(71,1),(72,1),(73,1),(79,1)}
        89:{1,2,3,6}:{(73,1),(74,1),(98,1),(100,1)}
        90:{1,2,4,7}:{(74,1),(80,1),(99,1),(100,1)}
        91:{1,2,4,7}:{(75,1),(76,1),(77,1),(79,1),(101,1)}
        92:{3,6}:{(77,1),(78,1),(101,1)}
        93:{3,4}:{(78,1),(80,1)}
        94:{1,5,7}:{(81,1),(82,1),(84,1)}
        95:{2,5,7}:{(81,1),(83,1),(85,1)}
        96:{1,2,5,6}:{(82,1),(83,1),(86,1),(102,1),(103,1),(106,1)}
        97:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(102,1),(104,1),(110,1)}
        98:{3,6}:{(86,1),(87,1)}
        99:{3,4,7}:{(87,1),(90,1),(93,1),(105,1),(110,1)}
       100:{1,2,4,6}:{(89,1),(90,1),(105,1),(106,1)}
       101:{3,7}:{(91,1),(92,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(97,1),(107,1)}
       103:{3,5,6}:{(96,1),(98,1),(107,1),(108,1),(109,1)}
       104:{3,6,7}:{(97,1),(98,1),(101,1),(107,1)}
       105:{3,4,6}:{(98,1),(99,1),(100,1),(108,1),(109,1)}
       106:{1,2,5}:{(100,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(103,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1526 :   0:{1,2,3,5,7}:{(3,1),(6,1),(9,1),(11,1),(36,1),(43,1),(46,1),(53,1),(57,1),(61,1)}
         1:{3,4,5,7}:{(12,1),(13,1),(14,1),(37,1),(47,1),(60,1),(61,1),(108,1),(122,1),(130,1),(184,1)}
         2:{3,5,6,7}:{(5,1),(8,1),(15,1),(45,1),(55,1),(60,1)}
         3:{1,2,3,7}:{(16,1),(19,1),(80,1),(188,1),(190,1)}
         4:{2,3,4,7}:{(17,1),(19,1),(20,1),(31,1),(81,1),(140,1),(190,1)}
         5:{2,5,6,7}:{(2,1),(21,1),(93,1),(97,1)}
         6:{1,2,3,7}:{(22,1),(25,1),(65,1),(196,1),(198,1)}
         7:{1,3,4,7}:{(23,1),(25,1),(26,1),(31,1),(66,1),(153,1),(198,1)}
         8:{1,5,6,7}:{(2,1),(27,1),(79,1),(98,1)}
         9:{1,2,3,6}:{(0,1),(28,1),(77,1),(92,1),(100,1)}
        10:{4,5,6}:{(29,1),(30,1),(159,1)}
        11:{1,2,4,7}:{(0,1),(28,1),(31,1),(67,1),(82,1)}
        12:{2,4,5,7}:{(1,1),(20,1),(33,1),(68,1),(83,1),(97,1),(140,1),(152,1)}
        13:{1,4,5,7}:{(1,1),(26,1),(34,1),(69,1),(84,1),(98,1),(141,1),(153,1)}
        14:{3,4,6}:{(1,1),(29,1),(33,1),(34,1),(100,1),(159,1)}
        15:{4,6,7}:{(2,1),(30,1)}
        16:{1,2,3,6}:{(3,1),(36,1),(38,1),(164,1),(167,1)}
        17:{2,3,4,6}:{(4,1),(38,1),(39,1),(44,1),(56,1),(104,1),(106,1),(167,1)}
        18:{2,4,5,6}:{(10,1),(40,1),(41,1),(58,1),(106,1)}
        19:{1,2,4,7}:{(3,1),(4,1),(38,1),(42,1),(43,1),(116,1)}
        20:{2,3,5,7}:{(4,1),(12,1),(39,1),(43,1),(44,1),(61,1),(117,1),(175,1)}
        21:{2,4,6,7}:{(5,1),(15,1),(41,1),(45,1)}
        22:{1,2,3,6}:{(6,1),(46,1),(48,1),(174,1),(177,1)}
        23:{1,3,4,6}:{(7,1),(48,1),(49,1),(54,1),(56,1),(118,1),(121,1),(177,1)}
        24:{1,4,5,6}:{(10,1),(50,1),(51,1),(59,1),(121,1)}
        25:{1,2,4,7}:{(6,1),(7,1),(48,1),(52,1),(53,1),(102,1)}
        26:{1,3,5,7}:{(7,1),(13,1),(49,1),(53,1),(54,1),(61,1),(103,1),(165,1)}
        27:{1,4,6,7}:{(8,1),(15,1),(51,1),(55,1)}
        28:{1,2,4,6}:{(9,1),(11,1),(56,1),(57,1)}
        29:{3,5,6}:{(10,1),(14,1),(58,1),(59,1),(60,1)}
        30:{4,5,7}:{(10,1),(15,1),(60,1),(184,1)}
        31:{3,4,7}:{(11,1),(56,1),(61,1),(104,1),(118,1),(184,1)}
        32:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(43,1),(53,1),(57,1),(61,1),(62,1),(105,1),(113,1),(119,1),(127,1),(130,1),(132,1),(168,1),(178,1),(184,1)}
        33:{2,4,6}:{(12,1),(14,1),(44,1),(58,1)}
        34:{1,4,6}:{(13,1),(14,1),(54,1),(59,1)}
        35:{3,4,6,7}:{(14,1),(15,1),(45,1),(55,1),(60,1),(63,1),(64,1),(108,1),(122,1),(134,1),(184,1)}
        36:{1,2,3,5}:{(16,1),(65,1),(67,1),(72,1),(136,1),(138,1)}
        37:{3,4,5}:{(68,1),(69,1),(70,1),(138,1)}
        38:{1,2,4,6}:{(16,1),(17,1),(19,1),(67,1),(71,1),(72,1),(77,1)}
        39:{2,3,5}:{(17,1),(68,1),(72,1),(95,1),(138,1)}
        40:{3,5,6}:{(18,1),(70,1),(74,1),(75,1)}
        41:{2,4,5,7}:{(18,1),(21,1),(30,1),(75,1),(97,1),(140,1)}
        42:{1,3,4,7}:{(19,1),(31,1),(71,1),(76,1),(147,1),(190,1),(192,1)}
        43:{1,2,5,7}:{(19,1),(20,1),(72,1),(76,1),(77,1),(148,1),(196,1)}
        44:{2,3,6}:{(20,1),(33,1),(77,1),(100,1)}
        45:{3,6,7}:{(21,1),(75,1),(79,1)}
        46:{1,2,3,5}:{(22,1),(80,1),(82,1),(87,1),(148,1),(150,1)}
        47:{3,4,5}:{(83,1),(84,1),(85,1),(150,1)}
        48:{1,2,4,6}:{(22,1),(23,1),(25,1),(82,1),(86,1),(87,1),(92,1)}
        49:{1,3,5}:{(23,1),(84,1),(87,1),(95,1),(150,1)}
        50:{3,5,6}:{(24,1),(85,1),(88,1),(90,1)}
        51:{1,4,5,7}:{(24,1),(27,1),(30,1),(90,1),(98,1),(153,1)}
        52:{2,3,4,7}:{(25,1),(31,1),(86,1),(91,1),(135,1),(198,1),(200,1)}
        53:{1,2,5,7}:{(25,1),(26,1),(87,1),(91,1),(92,1),(136,1),(188,1)}
        54:{1,3,6}:{(26,1),(34,1),(92,1),(100,1)}
        55:{3,6,7}:{(27,1),(90,1),(93,1)}
        56:{3,4,6}:{(28,1),(31,1),(95,1),(100,1),(159,1)}
        57:{1,2,5}:{(28,1),(95,1)}
        58:{2,5,6}:{(29,1),(33,1),(97,1)}
        59:{1,5,6}:{(29,1),(34,1),(98,1)}
        60:{3,5,7}:{(29,1),(30,1),(35,1),(97,1),(98,1)}
        61:{3,5,7}:{(31,1),(32,1),(95,1),(100,1),(138,1),(150,1),(190,1),(198,1)}
        62:{1,2,4,6}:{(32,1),(33,1),(34,1),(77,1),(92,1),(96,1),(100,1),(145,1),(157,1),(159,1)}
        63:{2,4,6,7}:{(33,1),(35,1),(78,1),(93,1),(97,1),(140,1),(152,1)}
        64:{1,4,6,7}:{(34,1),(35,1),(79,1),(94,1),(98,1),(141,1),(153,1)}
        65:{1,2,3}:{(102,1)}
        66:{1,3,4}:{(102,1),(103,1),(104,1)}
        67:{1,2,4}:{(36,1),(104,1)}
        68:{2,4,5}:{(37,1),(39,1),(106,1),(130,1)}
        69:{1,4,5}:{(37,1),(103,1),(107,1)}
        70:{3,4,6}:{(37,1),(40,1),(106,1),(107,1),(108,1),(167,1)}
        71:{1,3,4,6}:{(38,1),(42,1),(56,1),(104,1),(109,1),(114,1),(167,1),(169,1)}
        72:{1,2,5}:{(38,1),(39,1),(109,1)}
        73:{2,3,5,6}:{(39,1),(40,1),(44,1),(58,1),(106,1),(110,1),(111,1),(131,1),(167,1)}
        74:{1,5,6}:{(40,1),(107,1),(112,1)}
        75:{3,5,7}:{(40,1),(41,1),(45,1),(108,1),(112,1)}
        76:{1,3,5,7}:{(42,1),(43,1),(61,1),(109,1),(113,1),(114,1),(173,1),(211,1)}
        77:{1,2,6}:{(43,1),(44,1),(114,1)}
        78:{2,3,6,7}:{(44,1),(45,1),(63,1),(111,1),(115,1),(134,1),(175,1)}
        79:{1,6,7}:{(45,1),(112,1)}
        80:{1,2,3}:{(116,1)}
        81:{2,3,4}:{(116,1),(117,1),(118,1)}
        82:{1,2,4}:{(46,1),(118,1)}
        83:{2,4,5}:{(47,1),(117,1),(120,1)}
        84:{1,4,5}:{(47,1),(49,1),(121,1),(130,1)}
        85:{3,4,6}:{(47,1),(50,1),(120,1),(121,1),(122,1),(177,1)}
        86:{2,3,4,6}:{(48,1),(52,1),(56,1),(118,1),(123,1),(128,1),(177,1),(179,1)}
        87:{1,2,5}:{(48,1),(49,1),(123,1)}
        88:{2,5,6}:{(50,1),(120,1),(125,1)}
        89:{1,3,5,6}:{(49,1),(50,1),(54,1),(59,1),(121,1),(124,1),(126,1),(131,1),(177,1)}
        90:{3,5,7}:{(50,1),(51,1),(55,1),(122,1),(125,1)}
        91:{2,3,5,7}:{(52,1),(53,1),(61,1),(123,1),(127,1),(128,1),(163,1),(205,1)}
        92:{1,2,6}:{(53,1),(54,1),(128,1)}
        93:{2,6,7}:{(55,1),(125,1)}
        94:{1,3,6,7}:{(54,1),(55,1),(64,1),(126,1),(129,1),(134,1),(165,1)}
        95:{3,5}:{(56,1),(57,1),(130,1)}
        96:{1,2,5,6}:{(57,1),(58,1),(59,1),(62,1),(131,1),(132,1),(171,1),(181,1)}
        97:{2,5,7}:{(58,1),(60,1),(63,1)}
        98:{1,5,7}:{(59,1),(60,1),(64,1)}
        99:{3,4,5,7}:{(61,1),(113,1),(127,1),(130,1),(133,1),(166,1),(176,1),(184,1),(185,1),(207,1),(213,1)}
       100:{3,6}:{(61,1),(62,1)}
       101:{1,2,4,6,7}:{(62,1),(63,1),(64,1),(115,1),(129,1),(132,1),(134,1),(168,1),(172,1),(178,1),(182,1),(184,1)}
       102:{1,2,4}:{(65,1),(66,1),(135,1),(136,1)}
       103:{1,3,5}:{(66,1),(69,1),(136,1),(137,1),(138,1)}
       104:{3,4}:{(67,1),(138,1)}
       105:{1,2,4,5}:{(67,1),(68,1),(69,1),(72,1),(136,1),(138,1),(139,1),(142,1),(186,1)}
       106:{2,4,6}:{(68,1),(70,1),(73,1),(140,1),(159,1)}
       107:{1,4,6}:{(69,1),(70,1),(74,1),(137,1),(141,1)}
       108:{3,4,7}:{(70,1),(75,1),(140,1),(141,1),(190,1)}
       109:{1,3,5}:{(71,1),(72,1),(95,1),(138,1),(142,1)}
       110:{1,2,5,6}:{(72,1),(73,1),(74,1),(77,1),(139,1),(143,1),(144,1),(217,1)}
       111:{2,3,5,7}:{(73,1),(75,1),(78,1),(97,1),(140,1),(144,1),(160,1),(190,1)}
       112:{1,5,7}:{(74,1),(75,1),(79,1),(141,1)}
       113:{1,4,5,7}:{(76,1),(99,1),(142,1),(145,1),(192,1),(193,1),(194,1),(222,1)}
       114:{1,3,6}:{(76,1),(77,1),(100,1),(145,1)}
       115:{1,2,6,7}:{(77,1),(78,1),(79,1),(144,1),(146,1),(196,1),(229,1)}
       116:{1,2,4}:{(80,1),(81,1),(147,1),(148,1)}
       117:{2,3,5}:{(81,1),(83,1),(148,1),(149,1),(150,1)}
       118:{3,4}:{(82,1),(150,1)}
       119:{1,2,4,5}:{(82,1),(83,1),(84,1),(87,1),(148,1),(150,1),(151,1),(154,1),(194,1)}
       120:{2,4,6}:{(83,1),(85,1),(88,1),(149,1),(152,1)}
       121:{1,4,6}:{(84,1),(85,1),(89,1),(153,1),(159,1)}
       122:{3,4,7}:{(85,1),(90,1),(152,1),(153,1),(198,1)}
       123:{2,3,5}:{(86,1),(87,1),(95,1),(150,1),(154,1)}
       124:{1,2,5,6}:{(87,1),(88,1),(89,1),(92,1),(151,1),(155,1),(156,1),(221,1)}
       125:{2,5,7}:{(88,1),(90,1),(93,1),(152,1)}
       126:{1,3,5,7}:{(89,1),(90,1),(94,1),(98,1),(153,1),(156,1),(160,1),(198,1)}
       127:{2,4,5,7}:{(91,1),(99,1),(154,1),(157,1),(186,1),(200,1),(201,1),(218,1)}
       128:{2,3,6}:{(91,1),(92,1),(100,1),(157,1)}
       129:{1,2,6,7}:{(92,1),(93,1),(94,1),(156,1),(158,1),(188,1),(230,1)}
       130:{4,5}:{(95,1),(159,1)}
       131:{3,5,6}:{(95,1),(96,1),(100,1),(159,1),(160,1)}
       132:{1,2,5,7}:{(96,1),(97,1),(98,1),(101,1),(160,1),(193,1),(201,1)}
       133:{3,4,6}:{(99,1),(100,1),(145,1),(157,1),(159,1),(161,1)}
       134:{3,6,7}:{(100,1),(101,1),(160,1),(190,1),(198,1)}
       135:{2,3,4}:{(102,1),(104,1),(163,1)}
       136:{1,2,5}:{(102,1),(103,1),(163,1),(164,1)}
       137:{1,3,6}:{(103,1),(107,1),(164,1),(165,1),(167,1)}
       138:{3,5}:{(104,1),(105,1),(167,1)}
       139:{1,2,4,6}:{(105,1),(106,1),(107,1),(110,1),(164,1),(167,1),(168,1),(169,1),(204,1)}
       140:{2,4,7}:{(106,1),(108,1),(111,1),(184,1)}
       141:{1,4,7}:{(107,1),(108,1),(112,1),(165,1)}
       142:{1,4,5}:{(109,1),(130,1),(166,1),(169,1)}
       143:{1,3,5,6}:{(109,1),(110,1),(114,1),(131,1),(167,1),(169,1),(170,1),(171,1),(206,1)}
       144:{1,2,5,7}:{(110,1),(111,1),(112,1),(115,1),(168,1),(170,1),(225,1)}
       145:{1,4,6}:{(113,1),(114,1),(133,1),(171,1)}
       146:{1,3,6,7}:{(114,1),(115,1),(134,1),(170,1),(172,1),(211,1),(226,1)}
       147:{1,3,4}:{(116,1),(118,1),(173,1)}
       148:{1,2,5}:{(116,1),(117,1),(173,1),(174,1)}
       149:{2,3,6}:{(117,1),(120,1),(174,1),(175,1),(177,1)}
       150:{3,5}:{(118,1),(119,1),(177,1)}
       151:{1,2,4,6}:{(119,1),(120,1),(121,1),(124,1),(174,1),(177,1),(178,1),(179,1),(210,1)}
       152:{2,4,7}:{(120,1),(122,1),(125,1),(175,1)}
       153:{1,4,7}:{(121,1),(122,1),(126,1),(184,1)}
       154:{2,4,5}:{(123,1),(130,1),(176,1),(179,1)}
       155:{2,3,5,6}:{(123,1),(124,1),(128,1),(131,1),(177,1),(179,1),(180,1),(181,1),(212,1)}
       156:{1,2,5,7}:{(124,1),(125,1),(126,1),(129,1),(178,1),(180,1),(227,1)}
       157:{2,4,6}:{(127,1),(128,1),(133,1),(181,1)}
       158:{2,3,6,7}:{(128,1),(129,1),(134,1),(180,1),(182,1),(205,1),(228,1)}
       159:{4,6}:{(130,1),(131,1),(184,1)}
       160:{3,5,7}:{(131,1),(132,1),(134,1),(184,1)}
       161:{3,5,6}:{(133,1),(171,1),(181,1),(183,1),(185,1)}
       162:{3,4,6,7}:{(133,1),(134,1),(172,1),(182,1),(184,1),(185,1),(207,1),(213,1),(216,1),(226,1),(228,1)}
       163:{2,3,5}:{(135,1),(136,1),(138,1),(186,1),(187,1)}
       164:{1,2,6}:{(136,1),(137,1),(187,1),(188,1)}
       165:{1,3,7}:{(137,1),(141,1),(188,1),(190,1)}
       166:{3,4,5}:{(138,1),(142,1),(186,1),(189,1)}
       167:{3,6}:{(138,1),(139,1),(190,1)}
       168:{1,2,4,7}:{(139,1),(140,1),(141,1),(144,1),(188,1),(190,1),(192,1),(218,1)}
       169:{1,4,6}:{(142,1),(143,1),(159,1),(189,1),(192,1)}
       170:{1,3,5,7}:{(143,1),(144,1),(146,1),(160,1),(190,1),(192,1),(193,1),(219,1)}
       171:{1,5,6}:{(145,1),(161,1),(193,1)}
       172:{1,4,6,7}:{(145,1),(146,1),(162,1),(192,1),(193,1),(222,1),(230,1)}
       173:{1,3,5}:{(147,1),(148,1),(150,1),(194,1),(195,1)}
       174:{1,2,6}:{(148,1),(149,1),(195,1),(196,1)}
       175:{2,3,7}:{(149,1),(152,1),(196,1),(198,1)}
       176:{3,4,5}:{(150,1),(154,1),(194,1),(197,1)}
       177:{3,6}:{(150,1),(151,1),(198,1)}
       178:{1,2,4,7}:{(151,1),(152,1),(153,1),(156,1),(196,1),(198,1),(200,1),(222,1)}
       179:{2,4,6}:{(154,1),(155,1),(159,1),(197,1),(200,1)}
       180:{2,3,5,7}:{(155,1),(156,1),(158,1),(160,1),(198,1),(200,1),(201,1),(223,1)}
       181:{2,5,6}:{(157,1),(161,1),(201,1)}
       182:{2,4,6,7}:{(157,1),(158,1),(162,1),(200,1),(201,1),(218,1),(229,1)}
       183:{4,5,6}:{(159,1),(161,1),(202,1)}
       184:{4,7}:{(159,1),(160,1)}
       185:{3,5,7}:{(161,1),(162,1),(193,1),(201,1),(202,1)}
       186:{2,4,5}:{(163,1),(166,1),(204,1)}
       187:{2,3,6}:{(163,1),(164,1),(167,1),(204,1),(205,1)}
       188:{1,2,7}:{(164,1),(165,1),(205,1)}
       189:{3,4,6}:{(166,1),(167,1),(169,1),(204,1),(206,1),(207,1)}
       190:{3,7}:{(167,1),(168,1)}
       191:{1,4,5,6}:{(169,1),(171,1),(183,1),(206,1),(208,1)}
       192:{1,4,7}:{(169,1),(170,1),(184,1),(207,1)}
       193:{1,5,7}:{(171,1),(172,1),(185,1)}
       194:{1,4,5}:{(173,1),(176,1),(210,1)}
       195:{1,3,6}:{(173,1),(174,1),(177,1),(210,1),(211,1)}
       196:{1,2,7}:{(174,1),(175,1),(211,1)}
       197:{3,4,6}:{(176,1),(177,1),(179,1),(210,1),(212,1),(213,1)}
       198:{3,7}:{(177,1),(178,1)}
       199:{2,4,5,6}:{(179,1),(181,1),(183,1),(212,1),(214,1)}
       200:{2,4,7}:{(179,1),(180,1),(184,1),(213,1)}
       201:{2,5,7}:{(181,1),(182,1),(185,1)}
       202:{4,5,7}:{(183,1),(184,1),(185,1),(216,1)}
       203:{3,5,6,7}:{(185,1),(209,1),(215,1),(216,1),(226,1),(228,1)}
       204:{2,4,6}:{(186,1),(187,1),(189,1),(217,1),(218,1)}
       205:{2,3,7}:{(187,1),(188,1),(190,1),(218,1)}
       206:{3,5,6}:{(189,1),(191,1),(217,1),(219,1)}
       207:{3,4,7}:{(189,1),(190,1),(192,1),(218,1),(219,1)}
       208:{1,4,5,7}:{(191,1),(192,1),(193,1),(202,1),(219,1),(220,1)}
       209:{1,5,6,7}:{(193,1),(203,1),(220,1),(230,1)}
       210:{1,4,6}:{(194,1),(195,1),(197,1),(221,1),(222,1)}
       211:{1,3,7}:{(195,1),(196,1),(198,1),(222,1)}
       212:{3,5,6}:{(197,1),(199,1),(221,1),(223,1)}
       213:{3,4,7}:{(197,1),(198,1),(200,1),(222,1),(223,1)}
       214:{2,4,5,7}:{(199,1),(200,1),(201,1),(202,1),(223,1),(224,1)}
       215:{2,5,6,7}:{(201,1),(203,1),(224,1),(229,1)}
       216:{4,6,7}:{(202,1),(203,1)}
       217:{2,5,6}:{(204,1),(206,1),(225,1)}
       218:{2,4,7}:{(204,1),(205,1),(207,1),(225,1)}
       219:{3,5,7}:{(206,1),(207,1),(208,1),(225,1),(226,1)}
       220:{1,4,6,7}:{(208,1),(209,1),(216,1),(226,1)}
       221:{1,5,6}:{(210,1),(212,1),(227,1)}
       222:{1,4,7}:{(210,1),(211,1),(213,1),(227,1)}
       223:{3,5,7}:{(212,1),(213,1),(214,1),(227,1),(228,1)}
       224:{2,4,6,7}:{(214,1),(215,1),(216,1),(228,1)}
       225:{2,5,7}:{(217,1),(218,1),(219,1),(229,1)}
       226:{3,6,7}:{(219,1),(220,1),(229,1)}
       227:{1,5,7}:{(221,1),(222,1),(223,1),(230,1)}
       228:{3,6,7}:{(223,1),(224,1),(230,1)}
       229:{2,6,7}:{(225,1),(226,1)}
       230:{1,6,7}:{(227,1),(228,1)}

1527 :   0:{1,2,5,6,7}:{(1,1),(2,1),(30,1),(31,1),(59,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(17,1),(75,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(18,1),(19,1),(23,1),(74,1)}
         3:{1,2,4,5,6}:{(5,1),(7,1),(16,1),(25,1),(26,1),(27,1),(42,1),(43,1),(53,1),(74,1),(97,1),(103,1),(104,1)}
         4:{4,6,7}:{(1,1),(8,1),(88,1)}
         5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(10,1),(30,1),(31,1),(33,1),(34,1),(35,1)}
         6:{3,6,7}:{(2,1),(10,1),(87,1)}
         7:{3,5,6}:{(3,1),(10,1),(13,1),(69,1),(87,1),(102,1)}
         8:{4,5,7}:{(4,1),(16,1),(17,1),(79,1),(97,1)}
         9:{3,4,6,7}:{(4,1),(6,1),(17,1),(18,1),(19,1),(20,1),(41,1),(47,1),(79,1),(96,1)}
        10:{3,5,7}:{(5,1),(6,1),(7,1),(20,1)}
        11:{1,3,6,7}:{(6,1),(18,1),(21,1),(23,1),(47,1),(72,1),(95,1)}
        12:{2,3,6,7}:{(6,1),(19,1),(22,1),(23,1),(47,1),(73,1),(94,1)}
        13:{3,4,6}:{(7,1),(20,1),(24,1),(25,1),(26,1),(56,1),(84,1)}
        14:{1,3,5,6}:{(7,1),(21,1),(25,1),(27,1),(42,1),(51,1),(56,1),(72,1),(75,1),(83,1),(95,1),(104,1)}
        15:{2,3,5,6}:{(7,1),(22,1),(26,1),(27,1),(43,1),(52,1),(56,1),(73,1),(75,1),(82,1),(94,1),(103,1)}
        16:{4,5,6}:{(8,1),(28,1),(88,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(30,1),(31,1),(102,1)}
        18:{1,4,6,7}:{(9,1),(11,1),(30,1),(33,1),(57,1),(101,1)}
        19:{2,4,6,7}:{(9,1),(12,1),(31,1),(34,1),(58,1),(100,1)}
        20:{3,4,7}:{(10,1),(13,1),(33,1),(34,1),(66,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(14,1),(30,1),(33,1),(35,1),(63,1),(66,1)}
        22:{2,3,5,7}:{(10,1),(12,1),(15,1),(31,1),(34,1),(35,1),(63,1),(66,1)}
        23:{1,2,6,7}:{(11,1),(12,1),(35,1),(85,1),(86,1)}
        24:{3,4,5}:{(13,1),(36,1),(37,1),(69,1),(102,1)}
        25:{1,4,6}:{(13,1),(14,1),(33,1),(36,1),(88,1),(93,1)}
        26:{2,4,6}:{(13,1),(15,1),(34,1),(37,1),(88,1),(92,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(35,1),(40,1),(67,1),(68,1),(85,1),(86,1)}
        28:{3,5,6}:{(16,1),(17,1),(41,1),(42,1),(43,1)}
        29:{3,4,5,7}:{(17,1),(20,1),(24,1),(41,1),(44,1),(45,1),(78,1),(79,1),(97,1)}
        30:{1,5,7}:{(17,1),(18,1),(42,1),(104,1)}
        31:{2,5,7}:{(17,1),(19,1),(43,1),(103,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(23,1),(46,1),(47,1),(50,1),(74,1),(79,1)}
        33:{1,4,7}:{(20,1),(21,1),(25,1),(79,1)}
        34:{2,4,7}:{(20,1),(22,1),(26,1),(79,1)}
        35:{1,2,5,7}:{(21,1),(22,1),(23,1),(27,1),(50,1)}
        36:{1,4,5}:{(24,1),(25,1),(51,1),(97,1),(104,1)}
        37:{2,4,5}:{(24,1),(26,1),(52,1),(97,1),(103,1)}
        38:{1,3,4,6}:{(25,1),(48,1),(51,1),(54,1),(56,1),(72,1),(84,1),(96,1)}
        39:{2,3,4,6}:{(26,1),(49,1),(52,1),(55,1),(56,1),(73,1),(84,1),(96,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(50,1),(53,1),(56,1)}
        41:{3,4,6}:{(28,1),(29,1),(57,1),(58,1),(87,1),(88,1)}
        42:{1,5,6}:{(28,1),(30,1),(57,1)}
        43:{2,5,6}:{(28,1),(31,1),(58,1)}
        44:{1,4,5,7}:{(29,1),(30,1),(33,1),(36,1),(57,1),(60,1)}
        45:{2,4,5,7}:{(29,1),(31,1),(34,1),(37,1),(58,1),(61,1)}
        46:{1,2,5,7}:{(30,1),(31,1),(32,1),(59,1),(63,1)}
        47:{3,6,7}:{(32,1),(63,1),(66,1),(87,1)}
        48:{1,3,4,7}:{(33,1),(38,1),(60,1),(64,1),(66,1),(91,1)}
        49:{2,3,4,7}:{(34,1),(39,1),(61,1),(65,1),(66,1),(91,1)}
        50:{1,2,4,7}:{(33,1),(34,1),(35,1),(40,1),(66,1)}
        51:{1,3,5}:{(36,1),(38,1),(67,1),(69,1),(102,1)}
        52:{2,3,5}:{(37,1),(39,1),(68,1),(69,1),(102,1)}
        53:{1,2,4,5}:{(36,1),(37,1),(40,1),(67,1),(68,1),(69,1),(92,1),(93,1)}
        54:{1,2,4,6}:{(38,1),(64,1),(67,1),(70,1),(85,1),(92,1),(100,1)}
        55:{1,2,4,6}:{(39,1),(65,1),(68,1),(71,1),(86,1),(93,1),(101,1)}
        56:{3,6}:{(40,1),(66,1),(69,1)}
        57:{1,4,6}:{(41,1),(42,1),(44,1),(72,1)}
        58:{2,4,6}:{(41,1),(43,1),(45,1),(73,1)}
        59:{1,2,5,6}:{(42,1),(43,1),(46,1),(74,1),(75,1),(103,1),(104,1)}
        60:{1,3,5,7}:{(44,1),(48,1),(51,1),(72,1),(76,1),(78,1)}
        61:{2,3,5,7}:{(45,1),(49,1),(52,1),(73,1),(77,1),(78,1)}
        62:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(53,1),(74,1),(76,1),(77,1),(78,1),(79,1),(97,1),(98,1),(99,1),(103,1),(104,1)}
        63:{3,5,7}:{(46,1),(47,1),(75,1),(79,1)}
        64:{1,2,4,7}:{(48,1),(54,1),(76,1),(80,1),(98,1)}
        65:{1,2,4,7}:{(49,1),(55,1),(77,1),(81,1),(99,1)}
        66:{3,7}:{(50,1),(56,1)}
        67:{1,2,5}:{(51,1),(54,1),(82,1),(103,1)}
        68:{1,2,5}:{(52,1),(55,1),(83,1),(104,1)}
        69:{3,5}:{(53,1),(56,1),(84,1)}
        70:{2,3,6}:{(54,1),(56,1),(80,1),(82,1)}
        71:{1,3,6}:{(55,1),(56,1),(81,1),(83,1)}
        72:{1,3,6}:{(57,1),(60,1),(85,1),(87,1)}
        73:{2,3,6}:{(58,1),(61,1),(86,1),(87,1)}
        74:{1,2,4,6}:{(57,1),(58,1),(59,1),(62,1),(85,1),(86,1),(87,1),(88,1),(100,1),(101,1)}
        75:{3,5,6}:{(59,1),(63,1),(87,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(60,1),(64,1),(67,1),(85,1),(89,1)}
        77:{1,2,5,7}:{(61,1),(65,1),(68,1),(86,1),(90,1)}
        78:{3,5,7}:{(62,1),(66,1),(69,1),(87,1),(91,1),(102,1)}
        79:{4,7}:{(63,1),(88,1)}
        80:{2,3,7}:{(64,1),(66,1),(70,1)}
        81:{1,3,7}:{(65,1),(66,1),(71,1)}
        82:{2,3,5}:{(67,1),(69,1),(70,1),(92,1)}
        83:{1,3,5}:{(68,1),(69,1),(71,1),(93,1)}
        84:{3,4}:{(69,1),(92,1),(93,1)}
        85:{1,2,6}:{(72,1),(76,1),(94,1)}
        86:{1,2,6}:{(73,1),(77,1),(95,1)}
        87:{3,6}:{(74,1),(78,1)}
        88:{4,6}:{(75,1),(79,1),(97,1)}
        89:{2,3,5,7}:{(76,1),(78,1),(80,1),(82,1),(94,1),(98,1),(103,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(81,1),(83,1),(95,1),(99,1),(104,1)}
        91:{3,4,7}:{(78,1),(79,1),(84,1),(96,1),(98,1),(99,1)}
        92:{2,4}:{(82,1),(84,1)}
        93:{1,4}:{(83,1),(84,1)}
        94:{2,3,6}:{(85,1),(87,1),(89,1),(100,1)}
        95:{1,3,6}:{(86,1),(87,1),(90,1),(101,1)}
        96:{3,4,6}:{(87,1),(88,1),(91,1),(100,1),(101,1),(102,1)}
        97:{4,5}:{(88,1),(102,1)}
        98:{2,4,7}:{(89,1),(91,1),(92,1),(100,1)}
        99:{1,4,7}:{(90,1),(91,1),(93,1),(101,1)}
       100:{2,4,6}:{(94,1),(96,1),(98,1),(103,1)}
       101:{1,4,6}:{(95,1),(96,1),(99,1),(104,1)}
       102:{3,5}:{(96,1),(97,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{1,5}:{(101,1),(102,1)}

1528 :   0:{1,2,3,5,7}:{(2,1),(4,1),(6,1),(7,1),(28,1),(30,1),(34,1),(36,1),(40,1),(41,1)}
         1:{3,4,5,7}:{(8,1),(9,1),(10,1),(40,1),(48,1),(87,1),(97,1),(101,1),(158,1),(170,1),(173,1)}
         2:{1,2,3,7}:{(11,1),(12,1),(128,1),(184,1),(219,1)}
         3:{2,3,4,7}:{(12,1),(13,1),(14,1),(19,1),(123,1),(129,1),(184,1)}
         4:{1,2,3,7}:{(15,1),(16,1),(115,1),(194,1),(224,1)}
         5:{1,3,4,7}:{(16,1),(17,1),(18,1),(19,1),(117,1),(136,1),(194,1)}
         6:{1,2,3,6}:{(0,1),(20,1),(56,1),(64,1),(70,1)}
         7:{1,2,4,7}:{(0,1),(19,1),(20,1),(54,1),(62,1)}
         8:{2,4,5,7}:{(1,1),(14,1),(22,1),(57,1),(74,1),(123,1),(134,1),(195,1)}
         9:{1,4,5,7}:{(1,1),(18,1),(23,1),(65,1),(76,1),(121,1),(136,1),(185,1)}
        10:{3,4,6}:{(1,1),(22,1),(23,1),(24,1),(70,1),(139,1)}
        11:{1,2,3,6}:{(2,1),(28,1),(29,1),(155,1),(203,1)}
        12:{1,2,4,7}:{(2,1),(3,1),(27,1),(29,1),(30,1),(164,1)}
        13:{2,3,4,6}:{(3,1),(29,1),(31,1),(32,1),(39,1),(83,1),(88,1),(155,1)}
        14:{2,3,5,7}:{(3,1),(8,1),(30,1),(31,1),(32,1),(40,1),(165,1),(212,1)}
        15:{1,2,3,6}:{(4,1),(34,1),(35,1),(167,1),(211,1)}
        16:{1,2,4,7}:{(4,1),(5,1),(33,1),(35,1),(36,1),(152,1)}
        17:{1,3,4,6}:{(5,1),(35,1),(37,1),(38,1),(39,1),(93,1),(98,1),(167,1)}
        18:{1,3,5,7}:{(5,1),(9,1),(36,1),(37,1),(38,1),(40,1),(154,1),(205,1)}
        19:{3,4,7}:{(7,1),(39,1),(40,1),(83,1),(93,1),(173,1)}
        20:{1,2,4,6}:{(6,1),(7,1),(39,1),(41,1)}
        21:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(30,1),(36,1),(40,1),(41,1),(42,1),(80,1),(84,1),(90,1),(94,1),(101,1),(104,1),(156,1),(168,1),(173,1)}
        22:{2,4,6}:{(8,1),(10,1),(32,1),(43,1)}
        23:{1,4,6}:{(9,1),(10,1),(38,1),(45,1)}
        24:{3,5,6}:{(10,1),(43,1),(45,1),(47,1),(48,1)}
        25:{3,4,6,7}:{(10,1),(44,1),(46,1),(48,1),(51,1),(103,1),(109,1),(110,1),(158,1),(170,1),(173,1)}
        26:{3,5,6,7}:{(48,1),(49,1),(50,1),(51,1),(109,1),(110,1)}
        27:{1,3,4,7}:{(12,1),(19,1),(52,1),(53,1),(130,1),(180,1),(184,1)}
        28:{1,2,3,5}:{(11,1),(54,1),(55,1),(115,1),(118,1),(181,1)}
        29:{1,2,4,6}:{(11,1),(12,1),(13,1),(52,1),(54,1),(55,1),(56,1)}
        30:{1,2,5,7}:{(12,1),(14,1),(53,1),(55,1),(56,1),(191,1),(224,1)}
        31:{2,3,5}:{(13,1),(55,1),(57,1),(69,1),(118,1)}
        32:{2,3,6}:{(14,1),(22,1),(56,1),(70,1)}
        33:{2,3,4,7}:{(16,1),(19,1),(60,1),(61,1),(116,1),(190,1),(194,1)}
        34:{1,2,3,5}:{(15,1),(62,1),(63,1),(128,1),(131,1),(191,1)}
        35:{1,2,4,6}:{(15,1),(16,1),(17,1),(60,1),(62,1),(63,1),(64,1)}
        36:{1,2,5,7}:{(16,1),(18,1),(61,1),(63,1),(64,1),(181,1),(219,1)}
        37:{1,3,5}:{(17,1),(63,1),(65,1),(69,1),(131,1)}
        38:{1,3,6}:{(18,1),(23,1),(64,1),(70,1)}
        39:{3,4,6}:{(19,1),(20,1),(69,1),(70,1),(139,1)}
        40:{3,5,7}:{(19,1),(21,1),(69,1),(70,1),(118,1),(131,1),(184,1),(194,1)}
        41:{1,2,5}:{(20,1),(69,1)}
        42:{1,2,4,6}:{(21,1),(22,1),(23,1),(56,1),(64,1),(70,1),(71,1),(111,1),(124,1),(139,1)}
        43:{2,5,6}:{(22,1),(24,1),(74,1)}
        44:{2,4,6,7}:{(22,1),(25,1),(59,1),(74,1),(123,1),(146,1),(195,1)}
        45:{1,5,6}:{(23,1),(24,1),(76,1)}
        46:{1,4,6,7}:{(23,1),(25,1),(67,1),(76,1),(136,1),(145,1),(185,1)}
        47:{4,5,6}:{(24,1),(77,1),(139,1)}
        48:{3,5,7}:{(24,1),(25,1),(74,1),(76,1),(77,1)}
        49:{2,5,6,7}:{(26,1),(74,1),(78,1),(146,1)}
        50:{1,5,6,7}:{(26,1),(76,1),(79,1),(145,1)}
        51:{4,6,7}:{(26,1),(77,1)}
        52:{1,3,4,6}:{(27,1),(29,1),(39,1),(81,1),(82,1),(83,1),(150,1),(155,1)}
        53:{1,3,5,7}:{(27,1),(30,1),(40,1),(80,1),(81,1),(82,1),(166,1),(213,1)}
        54:{1,2,4}:{(28,1),(83,1)}
        55:{1,2,5}:{(29,1),(31,1),(81,1)}
        56:{1,2,6}:{(30,1),(32,1),(82,1)}
        57:{2,4,5}:{(31,1),(87,1),(88,1),(101,1)}
        58:{2,3,5,6}:{(31,1),(32,1),(43,1),(85,1),(88,1),(89,1),(102,1),(105,1),(155,1)}
        59:{2,3,6,7}:{(32,1),(44,1),(86,1),(89,1),(103,1),(109,1),(212,1)}
        60:{2,3,4,6}:{(33,1),(35,1),(39,1),(91,1),(92,1),(93,1),(162,1),(167,1)}
        61:{2,3,5,7}:{(33,1),(36,1),(40,1),(90,1),(91,1),(92,1),(153,1),(204,1)}
        62:{1,2,4}:{(34,1),(93,1)}
        63:{1,2,5}:{(35,1),(37,1),(91,1)}
        64:{1,2,6}:{(36,1),(38,1),(92,1)}
        65:{1,4,5}:{(37,1),(97,1),(98,1),(101,1)}
        66:{1,3,5,6}:{(37,1),(38,1),(45,1),(95,1),(98,1),(99,1),(102,1),(107,1),(167,1)}
        67:{1,3,6,7}:{(38,1),(46,1),(96,1),(99,1),(103,1),(110,1),(205,1)}
        68:{3,4,5,7}:{(40,1),(80,1),(90,1),(100,1),(101,1),(149,1),(161,1),(172,1),(173,1),(202,1),(210,1)}
        69:{3,5}:{(39,1),(41,1),(101,1)}
        70:{3,6}:{(40,1),(42,1)}
        71:{1,2,5,6}:{(41,1),(42,1),(43,1),(45,1),(102,1),(104,1),(147,1),(159,1)}
        72:{1,2,4,6,7}:{(42,1),(44,1),(46,1),(86,1),(96,1),(103,1),(104,1),(148,1),(156,1),(160,1),(168,1),(173,1)}
        73:{2,4,5,6}:{(43,1),(47,1),(88,1),(105,1),(106,1)}
        74:{2,5,7}:{(43,1),(44,1),(48,1)}
        75:{1,4,5,6}:{(45,1),(47,1),(98,1),(107,1),(108,1)}
        76:{1,5,7}:{(45,1),(46,1),(48,1)}
        77:{4,5,7}:{(47,1),(48,1),(51,1),(173,1)}
        78:{2,4,6,7}:{(49,1),(51,1),(106,1),(109,1)}
        79:{1,4,6,7}:{(50,1),(51,1),(108,1),(110,1)}
        80:{1,4,5,7}:{(53,1),(68,1),(111,1),(112,1),(177,1),(180,1),(188,1),(223,1)}
        81:{1,3,5}:{(52,1),(55,1),(69,1),(112,1),(118,1)}
        82:{1,3,6}:{(53,1),(56,1),(70,1),(111,1)}
        83:{3,4}:{(54,1),(118,1)}
        84:{1,2,4,5}:{(54,1),(55,1),(57,1),(112,1),(118,1),(119,1),(121,1),(178,1),(181,1)}
        85:{1,2,5,6}:{(55,1),(56,1),(58,1),(113,1),(119,1),(120,1),(141,1),(216,1)}
        86:{1,2,6,7}:{(56,1),(59,1),(114,1),(120,1),(145,1),(224,1),(229,1)}
        87:{3,4,5}:{(57,1),(118,1),(121,1),(122,1)}
        88:{2,4,6}:{(57,1),(58,1),(122,1),(123,1),(139,1)}
        89:{2,3,5,7}:{(58,1),(59,1),(74,1),(120,1),(123,1),(140,1),(142,1),(184,1)}
        90:{2,4,5,7}:{(61,1),(68,1),(124,1),(125,1),(178,1),(187,1),(190,1),(218,1)}
        91:{2,3,5}:{(60,1),(63,1),(69,1),(125,1),(131,1)}
        92:{2,3,6}:{(61,1),(64,1),(70,1),(124,1)}
        93:{3,4}:{(62,1),(131,1)}
        94:{1,2,4,5}:{(62,1),(63,1),(65,1),(125,1),(131,1),(132,1),(134,1),(188,1),(191,1)}
        95:{1,2,5,6}:{(63,1),(64,1),(66,1),(126,1),(132,1),(133,1),(143,1),(221,1)}
        96:{1,2,6,7}:{(64,1),(67,1),(127,1),(133,1),(146,1),(219,1),(230,1)}
        97:{3,4,5}:{(65,1),(131,1),(134,1),(135,1)}
        98:{1,4,6}:{(65,1),(66,1),(135,1),(136,1),(139,1)}
        99:{1,3,5,7}:{(66,1),(67,1),(76,1),(133,1),(136,1),(140,1),(144,1),(194,1)}
       100:{3,4,6}:{(68,1),(70,1),(111,1),(124,1),(137,1),(139,1)}
       101:{4,5}:{(69,1),(139,1)}
       102:{3,5,6}:{(69,1),(70,1),(71,1),(139,1),(140,1)}
       103:{3,6,7}:{(70,1),(72,1),(140,1),(184,1),(194,1)}
       104:{1,2,5,7}:{(71,1),(72,1),(74,1),(76,1),(140,1),(177,1),(187,1)}
       105:{3,5,6}:{(73,1),(122,1),(141,1),(142,1)}
       106:{2,4,5,7}:{(73,1),(74,1),(77,1),(78,1),(123,1),(142,1)}
       107:{3,5,6}:{(75,1),(135,1),(143,1),(144,1)}
       108:{1,4,5,7}:{(75,1),(76,1),(77,1),(79,1),(136,1),(144,1)}
       109:{3,6,7}:{(78,1),(142,1),(145,1)}
       110:{3,6,7}:{(79,1),(144,1),(146,1)}
       111:{1,4,6}:{(80,1),(82,1),(100,1),(147,1)}
       112:{1,4,5}:{(81,1),(101,1),(149,1),(150,1)}
       113:{1,3,5,6}:{(81,1),(82,1),(85,1),(102,1),(147,1),(150,1),(151,1),(155,1),(199,1)}
       114:{1,3,6,7}:{(82,1),(86,1),(103,1),(148,1),(151,1),(213,1),(225,1)}
       115:{1,2,3}:{(152,1)}
       116:{2,3,4}:{(83,1),(152,1),(153,1)}
       117:{1,3,4}:{(83,1),(152,1),(154,1)}
       118:{3,5}:{(83,1),(84,1),(155,1)}
       119:{1,2,4,6}:{(84,1),(85,1),(88,1),(150,1),(155,1),(156,1),(157,1),(201,1),(203,1)}
       120:{1,2,5,7}:{(85,1),(86,1),(89,1),(151,1),(156,1),(174,1),(226,1)}
       121:{1,4,5}:{(87,1),(154,1),(157,1)}
       122:{3,4,6}:{(87,1),(88,1),(105,1),(155,1),(157,1),(158,1)}
       123:{2,4,7}:{(88,1),(89,1),(158,1),(173,1)}
       124:{2,4,6}:{(90,1),(92,1),(100,1),(159,1)}
       125:{2,4,5}:{(91,1),(101,1),(161,1),(162,1)}
       126:{2,3,5,6}:{(91,1),(92,1),(95,1),(102,1),(159,1),(162,1),(163,1),(167,1),(207,1)}
       127:{2,3,6,7}:{(92,1),(96,1),(103,1),(160,1),(163,1),(204,1),(227,1)}
       128:{1,2,3}:{(164,1)}
       129:{2,3,4}:{(93,1),(164,1),(165,1)}
       130:{1,3,4}:{(93,1),(164,1),(166,1)}
       131:{3,5}:{(93,1),(94,1),(167,1)}
       132:{1,2,4,6}:{(94,1),(95,1),(98,1),(162,1),(167,1),(168,1),(169,1),(209,1),(211,1)}
       133:{1,2,5,7}:{(95,1),(96,1),(99,1),(163,1),(168,1),(175,1),(228,1)}
       134:{2,4,5}:{(97,1),(165,1),(169,1)}
       135:{3,4,6}:{(97,1),(98,1),(107,1),(167,1),(169,1),(170,1)}
       136:{1,4,7}:{(98,1),(99,1),(170,1),(173,1)}
       137:{3,5,6}:{(100,1),(147,1),(159,1),(171,1),(172,1)}
       138:{3,4,6,7}:{(100,1),(103,1),(148,1),(160,1),(172,1),(173,1),(202,1),(210,1),(214,1),(225,1),(227,1)}
       139:{4,6}:{(101,1),(102,1),(173,1)}
       140:{3,5,7}:{(102,1),(103,1),(104,1),(173,1)}
       141:{1,5,6}:{(105,1),(157,1),(174,1)}
       142:{3,5,7}:{(105,1),(106,1),(109,1),(158,1),(174,1)}
       143:{2,5,6}:{(107,1),(169,1),(175,1)}
       144:{3,5,7}:{(107,1),(108,1),(110,1),(170,1),(175,1)}
       145:{1,6,7}:{(109,1),(174,1)}
       146:{2,6,7}:{(110,1),(175,1)}
       147:{1,5,6}:{(111,1),(137,1),(177,1)}
       148:{1,4,6,7}:{(111,1),(114,1),(138,1),(177,1),(180,1),(223,1),(230,1)}
       149:{3,4,5}:{(112,1),(118,1),(178,1),(179,1)}
       150:{1,4,6}:{(112,1),(113,1),(139,1),(179,1),(180,1)}
       151:{1,3,5,7}:{(113,1),(114,1),(120,1),(140,1),(177,1),(180,1),(184,1),(217,1)}
       152:{1,2,4}:{(115,1),(116,1),(117,1),(181,1)}
       153:{2,3,5}:{(116,1),(118,1),(178,1),(181,1),(182,1)}
       154:{1,3,5}:{(117,1),(118,1),(121,1),(181,1),(183,1)}
       155:{3,6}:{(118,1),(119,1),(184,1)}
       156:{1,2,4,7}:{(119,1),(120,1),(123,1),(180,1),(184,1),(185,1),(218,1),(219,1)}
       157:{1,4,6}:{(121,1),(122,1),(141,1),(183,1),(185,1)}
       158:{3,4,7}:{(122,1),(123,1),(142,1),(184,1),(185,1)}
       159:{2,5,6}:{(124,1),(137,1),(187,1)}
       160:{2,4,6,7}:{(124,1),(127,1),(138,1),(187,1),(190,1),(218,1),(229,1)}
       161:{3,4,5}:{(125,1),(131,1),(188,1),(189,1)}
       162:{2,4,6}:{(125,1),(126,1),(139,1),(189,1),(190,1)}
       163:{2,3,5,7}:{(126,1),(127,1),(133,1),(140,1),(187,1),(190,1),(194,1),(222,1)}
       164:{1,2,4}:{(128,1),(129,1),(130,1),(191,1)}
       165:{2,3,5}:{(129,1),(131,1),(134,1),(191,1),(192,1)}
       166:{1,3,5}:{(130,1),(131,1),(188,1),(191,1),(193,1)}
       167:{3,6}:{(131,1),(132,1),(194,1)}
       168:{1,2,4,7}:{(132,1),(133,1),(136,1),(190,1),(194,1),(195,1),(223,1),(224,1)}
       169:{2,4,6}:{(134,1),(135,1),(143,1),(192,1),(195,1)}
       170:{3,4,7}:{(135,1),(136,1),(144,1),(194,1),(195,1)}
       171:{4,5,6}:{(137,1),(139,1),(197,1)}
       172:{3,5,7}:{(137,1),(138,1),(177,1),(187,1),(197,1)}
       173:{4,7}:{(139,1),(140,1)}
       174:{1,5,7}:{(141,1),(142,1),(145,1),(185,1)}
       175:{2,5,7}:{(143,1),(144,1),(146,1),(195,1)}
       176:{1,4,5,6}:{(147,1),(150,1),(171,1),(199,1),(200,1)}
       177:{1,5,7}:{(147,1),(148,1),(172,1)}
       178:{2,4,5}:{(149,1),(153,1),(201,1)}
       179:{3,4,6}:{(149,1),(150,1),(155,1),(199,1),(201,1),(202,1)}
       180:{1,4,7}:{(150,1),(151,1),(173,1),(202,1)}
       181:{1,2,5}:{(152,1),(153,1),(154,1),(203,1)}
       182:{2,3,6}:{(153,1),(155,1),(201,1),(203,1),(204,1)}
       183:{1,3,6}:{(154,1),(155,1),(157,1),(203,1),(205,1)}
       184:{3,7}:{(155,1),(156,1)}
       185:{1,4,7}:{(157,1),(158,1),(174,1),(205,1)}
       186:{2,4,5,6}:{(159,1),(162,1),(171,1),(207,1),(208,1)}
       187:{2,5,7}:{(159,1),(160,1),(172,1)}
       188:{1,4,5}:{(161,1),(166,1),(209,1)}
       189:{3,4,6}:{(161,1),(162,1),(167,1),(207,1),(209,1),(210,1)}
       190:{2,4,7}:{(162,1),(163,1),(173,1),(210,1)}
       191:{1,2,5}:{(164,1),(165,1),(166,1),(211,1)}
       192:{2,3,6}:{(165,1),(167,1),(169,1),(211,1),(212,1)}
       193:{1,3,6}:{(166,1),(167,1),(209,1),(211,1),(213,1)}
       194:{3,7}:{(167,1),(168,1)}
       195:{2,4,7}:{(169,1),(170,1),(175,1),(212,1)}
       196:{3,5,6,7}:{(172,1),(198,1),(206,1),(214,1),(225,1),(227,1)}
       197:{4,5,7}:{(171,1),(172,1),(173,1),(214,1)}
       198:{1,5,6,7}:{(177,1),(196,1),(215,1),(230,1)}
       199:{3,5,6}:{(176,1),(179,1),(216,1),(217,1)}
       200:{1,4,5,7}:{(176,1),(177,1),(180,1),(197,1),(215,1),(217,1)}
       201:{2,4,6}:{(178,1),(179,1),(182,1),(216,1),(218,1)}
       202:{3,4,7}:{(179,1),(180,1),(184,1),(217,1),(218,1)}
       203:{1,2,6}:{(181,1),(182,1),(183,1),(219,1)}
       204:{2,3,7}:{(182,1),(184,1),(218,1),(219,1)}
       205:{1,3,7}:{(183,1),(184,1),(185,1),(219,1)}
       206:{2,5,6,7}:{(187,1),(196,1),(220,1),(229,1)}
       207:{3,5,6}:{(186,1),(189,1),(221,1),(222,1)}
       208:{2,4,5,7}:{(186,1),(187,1),(190,1),(197,1),(220,1),(222,1)}
       209:{1,4,6}:{(188,1),(189,1),(193,1),(221,1),(223,1)}
       210:{3,4,7}:{(189,1),(190,1),(194,1),(222,1),(223,1)}
       211:{1,2,6}:{(191,1),(192,1),(193,1),(224,1)}
       212:{2,3,7}:{(192,1),(194,1),(195,1),(224,1)}
       213:{1,3,7}:{(193,1),(194,1),(223,1),(224,1)}
       214:{4,6,7}:{(196,1),(197,1)}
       215:{1,4,6,7}:{(198,1),(200,1),(214,1),(225,1)}
       216:{2,5,6}:{(199,1),(201,1),(226,1)}
       217:{3,5,7}:{(199,1),(200,1),(202,1),(225,1),(226,1)}
       218:{2,4,7}:{(201,1),(202,1),(204,1),(226,1)}
       219:{1,2,7}:{(203,1),(204,1),(205,1)}
       220:{2,4,6,7}:{(206,1),(208,1),(214,1),(227,1)}
       221:{1,5,6}:{(207,1),(209,1),(228,1)}
       222:{3,5,7}:{(207,1),(208,1),(210,1),(227,1),(228,1)}
       223:{1,4,7}:{(209,1),(210,1),(213,1),(228,1)}
       224:{1,2,7}:{(211,1),(212,1),(213,1)}
       225:{3,6,7}:{(215,1),(217,1),(229,1)}
       226:{2,5,7}:{(216,1),(217,1),(218,1),(229,1)}
       227:{3,6,7}:{(220,1),(222,1),(230,1)}
       228:{1,5,7}:{(221,1),(222,1),(223,1),(230,1)}
       229:{2,6,7}:{(225,1),(226,1)}
       230:{1,6,7}:{(227,1),(228,1)}

1529 :   0:{3,5,6,7}:{(2,1),(4,1),(7,1),(32,1),(41,1),(45,1)}
         1:{3,4,5,7}:{(8,1),(9,1),(10,1),(27,1),(36,1),(45,1),(51,1),(86,1),(99,1),(162,1),(163,1)}
         2:{2,5,6,7}:{(0,1),(13,1),(75,1),(79,1)}
         3:{2,3,4,7}:{(12,1),(14,1),(15,1),(65,1),(83,1),(118,1),(168,1),(196,1)}
         4:{1,5,6,7}:{(0,1),(18,1),(61,1),(78,1)}
         5:{1,3,4,7}:{(17,1),(19,1),(20,1),(52,1),(83,1),(129,1),(176,1),(200,1)}
         6:{4,5,6}:{(21,1),(22,1),(139,1)}
         7:{4,6,7}:{(0,1),(21,1)}
         8:{3,4,6}:{(1,1),(22,1),(24,1),(25,1),(82,1),(139,1)}
         9:{1,4,5,7}:{(1,1),(19,1),(24,1),(54,1),(67,1),(78,1),(117,1),(129,1)}
        10:{2,4,5,7}:{(1,1),(14,1),(25,1),(55,1),(68,1),(79,1),(118,1),(130,1)}
        11:{2,4,5,6}:{(6,1),(28,1),(29,1),(47,1),(88,1)}
        12:{2,3,4,6}:{(3,1),(30,1),(31,1),(33,1),(88,1),(113,1),(146,1),(147,1),(184,1)}
        13:{2,4,6,7}:{(2,1),(7,1),(28,1),(32,1)}
        14:{2,3,5,7}:{(3,1),(10,1),(30,1),(33,1),(34,1),(51,1),(97,1),(152,1),(204,1)}
        15:{1,2,4,7}:{(3,1),(31,1),(34,1),(35,1),(96,1),(98,1)}
        16:{1,4,5,6}:{(6,1),(37,1),(38,1),(46,1),(100,1)}
        17:{1,3,4,6}:{(5,1),(39,1),(40,1),(42,1),(100,1),(113,1),(156,1),(157,1),(190,1)}
        18:{1,4,6,7}:{(4,1),(7,1),(37,1),(41,1)}
        19:{1,3,5,7}:{(5,1),(9,1),(39,1),(42,1),(43,1),(51,1),(84,1),(142,1),(206,1)}
        20:{1,2,4,7}:{(5,1),(40,1),(43,1),(44,1),(85,1),(109,1)}
        21:{4,5,7}:{(6,1),(7,1),(45,1),(162,1)}
        22:{3,5,6}:{(6,1),(8,1),(45,1),(46,1),(47,1)}
        23:{3,4,6,7}:{(7,1),(8,1),(32,1),(41,1),(45,1),(48,1),(49,1),(86,1),(99,1),(112,1),(162,1)}
        24:{1,4,6}:{(8,1),(9,1),(42,1),(46,1)}
        25:{2,4,6}:{(8,1),(10,1),(33,1),(47,1)}
        26:{1,2,4,5,7}:{(9,1),(10,1),(34,1),(43,1),(50,1),(51,1),(89,1),(96,1),(102,1),(109,1),(110,1),(145,1),(151,1),(155,1),(161,1),(162,1),(163,1),(187,1),(193,1),(204,1),(206,1)}
        27:{3,4,5}:{(53,1),(54,1),(55,1),(120,1)}
        28:{2,4,5,7}:{(11,1),(13,1),(21,1),(56,1),(79,1),(118,1)}
        29:{3,5,6}:{(11,1),(53,1),(56,1),(57,1)}
        30:{2,3,5}:{(12,1),(55,1),(59,1),(120,1),(141,1),(197,1)}
        31:{1,2,4,6}:{(12,1),(15,1),(59,1),(60,1),(63,1),(123,1),(125,1)}
        32:{3,6,7}:{(13,1),(56,1),(61,1)}
        33:{2,3,6}:{(14,1),(25,1),(63,1),(82,1),(208,1)}
        34:{1,2,5,7}:{(14,1),(15,1),(59,1),(63,1),(64,1),(127,1),(173,1)}
        35:{1,3,7}:{(15,1),(60,1),(128,1),(168,1)}
        36:{3,4,5}:{(66,1),(67,1),(68,1),(132,1)}
        37:{1,4,5,7}:{(16,1),(18,1),(21,1),(69,1),(78,1),(129,1)}
        38:{3,5,6}:{(16,1),(66,1),(69,1),(71,1)}
        39:{1,3,5}:{(17,1),(67,1),(72,1),(132,1),(141,1),(201,1)}
        40:{1,2,4,6}:{(17,1),(20,1),(72,1),(73,1),(76,1),(135,1),(137,1)}
        41:{3,6,7}:{(18,1),(69,1),(75,1)}
        42:{1,3,6}:{(19,1),(24,1),(76,1),(82,1),(209,1)}
        43:{1,2,5,7}:{(19,1),(20,1),(72,1),(76,1),(77,1),(115,1),(165,1)}
        44:{2,3,7}:{(20,1),(73,1),(116,1),(176,1)}
        45:{3,5,7}:{(21,1),(22,1),(23,1),(78,1),(79,1)}
        46:{1,5,6}:{(22,1),(24,1),(78,1)}
        47:{2,5,6}:{(22,1),(25,1),(79,1)}
        48:{1,4,6,7}:{(23,1),(24,1),(61,1),(74,1),(78,1),(117,1),(129,1)}
        49:{2,4,6,7}:{(23,1),(25,1),(62,1),(75,1),(79,1),(118,1),(130,1)}
        50:{1,2,4,6}:{(24,1),(25,1),(26,1),(63,1),(76,1),(80,1),(82,1),(125,1),(137,1),(139,1),(199,1),(203,1),(208,1),(209,1)}
        51:{3,5,7}:{(26,1),(82,1),(83,1),(120,1),(132,1),(141,1),(168,1),(176,1)}
        52:{1,3,4}:{(84,1),(85,1),(147,1)}
        53:{3,4,6}:{(27,1),(29,1),(86,1),(87,1),(88,1),(146,1)}
        54:{1,4,5}:{(27,1),(84,1),(87,1)}
        55:{2,4,5}:{(27,1),(30,1),(88,1),(163,1)}
        56:{3,5,7}:{(28,1),(29,1),(32,1),(86,1),(90,1)}
        57:{1,5,6}:{(29,1),(87,1),(90,1)}
        58:{2,3,5,6}:{(29,1),(30,1),(33,1),(47,1),(88,1),(91,1),(92,1),(111,1),(146,1)}
        59:{1,2,5}:{(30,1),(31,1),(93,1),(151,1)}
        60:{1,3,6}:{(31,1),(35,1),(93,1),(146,1)}
        61:{1,6,7}:{(32,1),(90,1)}
        62:{2,3,6,7}:{(32,1),(33,1),(49,1),(91,1),(94,1),(112,1),(152,1)}
        63:{1,2,6}:{(33,1),(34,1),(95,1)}
        64:{1,3,5,7}:{(34,1),(35,1),(51,1),(93,1),(95,1),(96,1),(151,1),(154,1),(189,1),(206,1)}
        65:{2,3,4}:{(97,1),(98,1),(157,1)}
        66:{3,4,6}:{(36,1),(38,1),(99,1),(100,1),(101,1),(156,1)}
        67:{1,4,5}:{(36,1),(39,1),(100,1),(163,1)}
        68:{2,4,5}:{(36,1),(97,1),(101,1)}
        69:{3,5,7}:{(37,1),(38,1),(41,1),(99,1),(104,1)}
        70:{1,3,5,6}:{(38,1),(39,1),(42,1),(46,1),(100,1),(103,1),(105,1),(111,1),(156,1)}
        71:{2,5,6}:{(38,1),(101,1),(104,1)}
        72:{1,2,5}:{(39,1),(40,1),(106,1),(161,1)}
        73:{2,3,6}:{(40,1),(44,1),(106,1),(156,1)}
        74:{1,3,6,7}:{(41,1),(42,1),(48,1),(103,1),(107,1),(112,1),(142,1)}
        75:{2,6,7}:{(41,1),(104,1)}
        76:{1,2,6}:{(42,1),(43,1),(108,1)}
        77:{2,3,5,7}:{(43,1),(44,1),(51,1),(106,1),(108,1),(109,1),(144,1),(161,1),(183,1),(204,1)}
        78:{1,5,7}:{(45,1),(46,1),(48,1)}
        79:{2,5,7}:{(45,1),(47,1),(49,1)}
        80:{1,2,5,6}:{(46,1),(47,1),(50,1),(110,1),(111,1),(151,1),(161,1),(188,1),(194,1)}
        81:{1,2,4,6,7}:{(48,1),(49,1),(50,1),(94,1),(107,1),(110,1),(112,1),(145,1),(150,1),(155,1),(160,1),(162,1)}
        82:{3,6}:{(50,1),(51,1)}
        83:{3,4,7}:{(51,1),(96,1),(109,1),(113,1),(147,1),(157,1),(162,1)}
        84:{1,3,5}:{(52,1),(54,1),(114,1),(115,1),(120,1)}
        85:{1,2,4}:{(52,1),(115,1),(116,1),(167,1)}
        86:{3,4,7}:{(53,1),(56,1),(117,1),(118,1),(168,1)}
        87:{1,4,6}:{(53,1),(54,1),(57,1),(114,1),(117,1)}
        88:{2,4,6}:{(53,1),(55,1),(58,1),(118,1),(139,1)}
        89:{1,2,4,5}:{(54,1),(55,1),(59,1),(115,1),(119,1),(120,1),(123,1),(167,1),(171,1),(197,1)}
        90:{1,5,7}:{(56,1),(57,1),(61,1),(117,1)}
        91:{2,3,5,7}:{(56,1),(58,1),(62,1),(79,1),(118,1),(121,1),(138,1),(168,1)}
        92:{1,2,5,6}:{(57,1),(58,1),(59,1),(63,1),(119,1),(121,1),(122,1),(197,1),(208,1)}
        93:{1,3,5}:{(59,1),(60,1),(120,1),(123,1)}
        94:{1,2,6,7}:{(61,1),(62,1),(63,1),(121,1),(124,1),(173,1),(208,1)}
        95:{1,3,6}:{(63,1),(64,1),(82,1),(125,1),(209,1)}
        96:{1,4,7}:{(64,1),(83,1),(123,1),(125,1),(175,1)}
        97:{2,3,5}:{(65,1),(68,1),(126,1),(127,1),(132,1)}
        98:{1,2,4}:{(65,1),(127,1),(128,1),(175,1)}
        99:{3,4,7}:{(66,1),(69,1),(129,1),(130,1),(176,1)}
       100:{1,4,6}:{(66,1),(67,1),(70,1),(129,1),(139,1)}
       101:{2,4,6}:{(66,1),(68,1),(71,1),(126,1),(130,1)}
       102:{1,2,4,5}:{(67,1),(68,1),(72,1),(127,1),(131,1),(132,1),(135,1),(175,1),(179,1),(201,1)}
       103:{1,3,5,7}:{(69,1),(70,1),(74,1),(78,1),(129,1),(133,1),(138,1),(176,1)}
       104:{2,5,7}:{(69,1),(71,1),(75,1),(130,1)}
       105:{1,2,5,6}:{(70,1),(71,1),(72,1),(76,1),(131,1),(133,1),(134,1),(201,1),(209,1)}
       106:{2,3,5}:{(72,1),(73,1),(132,1),(135,1)}
       107:{1,2,6,7}:{(74,1),(75,1),(76,1),(133,1),(136,1),(165,1),(209,1)}
       108:{2,3,6}:{(76,1),(77,1),(82,1),(137,1),(208,1)}
       109:{2,4,7}:{(77,1),(83,1),(135,1),(137,1),(167,1)}
       110:{1,2,5,7}:{(78,1),(79,1),(80,1),(81,1),(138,1),(172,1),(180,1)}
       111:{3,5,6}:{(80,1),(82,1),(138,1),(139,1),(141,1)}
       112:{3,6,7}:{(81,1),(82,1),(138,1),(168,1),(176,1)}
       113:{3,4,6}:{(82,1),(83,1),(125,1),(137,1),(139,1),(141,1)}
       114:{1,3,6}:{(84,1),(87,1),(142,1),(143,1),(146,1)}
       115:{1,2,5}:{(84,1),(85,1),(143,1),(144,1)}
       116:{2,3}:{(85,1)}
       117:{1,4,7}:{(86,1),(87,1),(90,1),(142,1)}
       118:{2,4,7}:{(86,1),(88,1),(91,1),(162,1)}
       119:{1,2,4,6}:{(87,1),(88,1),(89,1),(92,1),(143,1),(145,1),(146,1),(149,1),(184,1)}
       120:{3,5}:{(89,1),(146,1),(147,1)}
       121:{1,2,5,7}:{(90,1),(91,1),(92,1),(94,1),(145,1),(148,1),(204,1)}
       122:{1,3,5,6}:{(92,1),(93,1),(95,1),(111,1),(146,1),(148,1),(149,1),(151,1),(186,1),(188,1),(205,1)}
       123:{1,4}:{(93,1),(147,1)}
       124:{1,3,6,7}:{(94,1),(95,1),(112,1),(148,1),(150,1),(189,1),(205,1)}
       125:{1,4,6}:{(95,1),(96,1),(113,1),(151,1)}
       126:{2,3,6}:{(97,1),(101,1),(152,1),(153,1),(156,1)}
       127:{1,2,5}:{(97,1),(98,1),(153,1),(154,1)}
       128:{1,3}:{(98,1)}
       129:{1,4,7}:{(99,1),(100,1),(103,1),(162,1)}
       130:{2,4,7}:{(99,1),(101,1),(104,1),(152,1)}
       131:{1,2,4,6}:{(100,1),(101,1),(102,1),(105,1),(153,1),(155,1),(156,1),(159,1),(190,1)}
       132:{3,5}:{(102,1),(156,1),(157,1)}
       133:{1,2,5,7}:{(103,1),(104,1),(105,1),(107,1),(155,1),(158,1),(206,1)}
       134:{2,3,5,6}:{(105,1),(106,1),(108,1),(111,1),(156,1),(158,1),(159,1),(161,1),(192,1),(194,1),(207,1)}
       135:{2,4}:{(106,1),(157,1)}
       136:{2,3,6,7}:{(107,1),(108,1),(112,1),(158,1),(160,1),(183,1),(207,1)}
       137:{2,4,6}:{(108,1),(109,1),(113,1),(161,1)}
       138:{3,5,7}:{(110,1),(111,1),(112,1),(162,1)}
       139:{4,6}:{(111,1),(162,1),(163,1)}
       140:{3,4,6,7}:{(112,1),(113,1),(150,1),(160,1),(162,1),(164,1),(185,1),(191,1),(195,1),(205,1),(207,1)}
       141:{3,5}:{(113,1),(151,1),(161,1),(163,1)}
       142:{1,3,7}:{(114,1),(117,1),(165,1),(168,1)}
       143:{1,2,6}:{(114,1),(115,1),(165,1),(166,1)}
       144:{2,3,5}:{(115,1),(116,1),(120,1),(166,1),(167,1),(197,1)}
       145:{1,2,4,7}:{(117,1),(118,1),(119,1),(121,1),(165,1),(168,1),(170,1),(196,1)}
       146:{3,6}:{(119,1),(120,1),(168,1)}
       147:{3,4}:{(120,1),(123,1),(167,1)}
       148:{1,3,5,7}:{(121,1),(122,1),(124,1),(138,1),(168,1),(170,1),(172,1),(198,1)}
       149:{1,4,6}:{(122,1),(123,1),(139,1),(169,1),(170,1),(171,1)}
       150:{1,4,6,7}:{(124,1),(125,1),(140,1),(170,1),(172,1),(199,1),(200,1),(209,1)}
       151:{1,5}:{(125,1),(141,1)}
       152:{2,3,7}:{(126,1),(130,1),(173,1),(176,1)}
       153:{1,2,6}:{(126,1),(127,1),(173,1),(174,1)}
       154:{1,3,5}:{(127,1),(128,1),(132,1),(174,1),(175,1),(201,1)}
       155:{1,2,4,7}:{(129,1),(130,1),(131,1),(133,1),(173,1),(176,1),(178,1),(200,1)}
       156:{3,6}:{(131,1),(132,1),(176,1)}
       157:{3,4}:{(132,1),(135,1),(175,1)}
       158:{2,3,5,7}:{(133,1),(134,1),(136,1),(138,1),(176,1),(178,1),(180,1),(202,1)}
       159:{2,4,6}:{(134,1),(135,1),(139,1),(177,1),(178,1),(179,1)}
       160:{2,4,6,7}:{(136,1),(137,1),(140,1),(178,1),(180,1),(196,1),(203,1),(208,1)}
       161:{2,5}:{(137,1),(141,1)}
       162:{4,7}:{(138,1),(139,1)}
       163:{4,5}:{(139,1),(141,1)}
       164:{3,5,7}:{(140,1),(141,1),(172,1),(180,1),(181,1),(182,1)}
       165:{1,2,7}:{(142,1),(143,1),(183,1)}
       166:{2,3,6}:{(143,1),(144,1),(146,1),(183,1),(184,1)}
       167:{2,4}:{(144,1),(147,1)}
       168:{3,7}:{(145,1),(146,1)}
       169:{3,4,6}:{(146,1),(147,1),(149,1),(184,1),(185,1),(186,1),(205,1)}
       170:{1,4,7}:{(148,1),(149,1),(162,1),(185,1)}
       171:{1,4,5}:{(149,1),(151,1),(163,1),(186,1)}
       172:{1,5,7}:{(150,1),(151,1),(164,1),(188,1)}
       173:{1,2,7}:{(152,1),(153,1),(189,1)}
       174:{1,3,6}:{(153,1),(154,1),(156,1),(189,1),(190,1)}
       175:{1,4}:{(154,1),(157,1)}
       176:{3,7}:{(155,1),(156,1)}
       177:{3,4,6}:{(156,1),(157,1),(159,1),(190,1),(191,1),(192,1),(207,1)}
       178:{2,4,7}:{(158,1),(159,1),(162,1),(191,1)}
       179:{2,4,5}:{(159,1),(161,1),(163,1),(192,1)}
       180:{2,5,7}:{(160,1),(161,1),(164,1),(194,1)}
       181:{4,5,7}:{(162,1),(163,1),(164,1),(195,1)}
       182:{3,5,6}:{(164,1),(188,1),(194,1),(195,1),(205,1),(207,1)}
       183:{2,3,7}:{(165,1),(166,1),(168,1),(196,1)}
       184:{2,4,6}:{(166,1),(167,1),(169,1),(196,1),(197,1),(208,1)}
       185:{3,4,7}:{(168,1),(169,1),(170,1),(196,1),(198,1)}
       186:{3,5}:{(169,1),(171,1),(197,1)}
       187:{1,4,5,7}:{(170,1),(171,1),(172,1),(181,1),(198,1),(199,1)}
       188:{1,5,6}:{(172,1),(182,1),(199,1),(209,1)}
       189:{1,3,7}:{(173,1),(174,1),(176,1),(200,1)}
       190:{1,4,6}:{(174,1),(175,1),(177,1),(200,1),(201,1),(209,1)}
       191:{3,4,7}:{(176,1),(177,1),(178,1),(200,1),(202,1)}
       192:{3,5}:{(177,1),(179,1),(201,1)}
       193:{2,4,5,7}:{(178,1),(179,1),(180,1),(181,1),(202,1),(203,1)}
       194:{2,5,6}:{(180,1),(182,1),(203,1),(208,1)}
       195:{4,6}:{(181,1),(182,1)}
       196:{2,4,7}:{(183,1),(184,1),(185,1),(204,1)}
       197:{2,5}:{(184,1),(186,1)}
       198:{3,5,7}:{(185,1),(186,1),(187,1),(204,1),(205,1)}
       199:{1,4,6}:{(187,1),(188,1),(195,1),(205,1)}
       200:{1,4,7}:{(189,1),(190,1),(191,1),(206,1)}
       201:{1,5}:{(190,1),(192,1)}
       202:{3,5,7}:{(191,1),(192,1),(193,1),(206,1),(207,1)}
       203:{2,4,6}:{(193,1),(194,1),(195,1),(207,1)}
       204:{2,5,7}:{(196,1),(197,1),(198,1),(208,1)}
       205:{3,6}:{(198,1),(199,1),(208,1)}
       206:{1,5,7}:{(200,1),(201,1),(202,1),(209,1)}
       207:{3,6}:{(202,1),(203,1),(209,1)}
       208:{2,6}:{(204,1),(205,1)}
       209:{1,6}:{(206,1),(207,1)}

1530 :   0:{4,5,6,7}:{(1,1),(36,1),(213,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(4,1),(5,1),(221,1)}
         2:{3,4,5,6}:{(6,1),(7,1),(8,1),(32,1),(72,1),(173,1),(210,1)}
         3:{3,4,6,7}:{(1,1),(6,1),(9,1),(10,1),(35,1),(36,1),(210,1)}
         4:{1,5,6,7}:{(1,1),(9,1),(226,1)}
         5:{2,5,6,7}:{(1,1),(10,1),(224,1)}
         6:{3,4,5,7}:{(2,1),(3,1),(14,1),(15,1),(45,1),(52,1)}
         7:{1,4,5,6}:{(2,1),(14,1),(16,1),(189,1),(218,1)}
         8:{2,4,5,6}:{(2,1),(15,1),(17,1),(182,1),(215,1)}
         9:{1,4,6,7}:{(3,1),(4,1),(14,1),(19,1),(218,1)}
        10:{2,4,6,7}:{(3,1),(5,1),(15,1),(20,1),(215,1)}
        11:{1,2,5,6,7}:{(4,1),(5,1),(21,1),(22,1),(92,1),(93,1),(150,1)}
        12:{2,3,4,5}:{(23,1),(24,1),(67,1),(100,1),(156,1)}
        13:{1,3,4,5}:{(25,1),(26,1),(67,1),(107,1),(164,1)}
        14:{1,4,5,7}:{(6,1),(7,1),(9,1),(27,1)}
        15:{2,4,5,7}:{(6,1),(8,1),(10,1),(28,1)}
        16:{1,3,5,6}:{(7,1),(25,1),(27,1),(30,1),(32,1),(164,1),(206,1)}
        17:{2,3,5,6}:{(8,1),(23,1),(28,1),(31,1),(32,1),(156,1),(201,1)}
        18:{1,2,4,5,6}:{(7,1),(8,1),(29,1),(30,1),(31,1),(32,1),(65,1),(66,1),(72,1),(115,1),(121,1),(122,1),(170,1)}
        19:{1,3,6,7}:{(9,1),(27,1),(33,1),(35,1),(206,1)}
        20:{2,3,6,7}:{(10,1),(28,1),(34,1),(35,1),(201,1)}
        21:{1,2,4,6,7}:{(9,1),(10,1),(11,1),(29,1),(33,1),(34,1),(35,1),(36,1),(69,1),(70,1),(170,1)}
        22:{3,5,6,7}:{(11,1),(35,1),(36,1),(71,1),(177,1)}
        23:{2,3,4,6}:{(12,1),(17,1),(37,1),(38,1),(48,1)}
        24:{1,2,4,5}:{(12,1),(38,1),(39,1),(76,1),(89,1),(127,1)}
        25:{1,3,4,6}:{(13,1),(16,1),(40,1),(41,1),(48,1)}
        26:{1,2,4,5}:{(13,1),(41,1),(42,1),(81,1),(88,1),(135,1)}
        27:{1,3,5,7}:{(14,1),(16,1),(19,1),(40,1),(43,1),(45,1)}
        28:{2,3,5,7}:{(15,1),(17,1),(20,1),(37,1),(44,1),(45,1)}
        29:{1,2,4,5,7}:{(14,1),(15,1),(18,1),(21,1),(43,1),(44,1),(45,1),(52,1),(84,1),(85,1),(92,1),(93,1)}
        30:{1,2,5,6}:{(16,1),(41,1),(43,1),(46,1),(135,1),(187,1)}
        31:{1,2,5,6}:{(17,1),(38,1),(44,1),(47,1),(127,1),(180,1)}
        32:{3,5,6}:{(18,1),(45,1),(48,1),(145,1),(194,1)}
        33:{1,2,6,7}:{(19,1),(43,1),(49,1),(187,1)}
        34:{1,2,6,7}:{(20,1),(44,1),(50,1),(180,1)}
        35:{3,6,7}:{(21,1),(45,1),(194,1)}
        36:{4,6,7}:{(22,1),(52,1),(198,1)}
        37:{2,3,4,7}:{(23,1),(28,1),(53,1),(63,1)}
        38:{1,2,4,6}:{(23,1),(24,1),(31,1),(53,1),(54,1),(66,1)}
        39:{1,3,5}:{(24,1),(54,1),(56,1)}
        40:{1,3,4,7}:{(25,1),(27,1),(57,1),(63,1)}
        41:{1,2,4,6}:{(25,1),(26,1),(30,1),(57,1),(58,1),(65,1)}
        42:{2,3,5}:{(26,1),(58,1),(60,1)}
        43:{1,2,5,7}:{(27,1),(30,1),(33,1),(57,1),(61,1)}
        44:{1,2,5,7}:{(28,1),(31,1),(34,1),(53,1),(62,1)}
        45:{3,5,7}:{(29,1),(32,1),(35,1),(63,1)}
        46:{2,3,5,6}:{(30,1),(32,1),(58,1),(61,1),(65,1),(106,1),(121,1),(163,1)}
        47:{1,3,5,6}:{(31,1),(32,1),(54,1),(62,1),(66,1),(99,1),(122,1),(155,1)}
        48:{3,4,6}:{(32,1),(63,1),(65,1),(66,1),(67,1)}
        49:{2,3,6,7}:{(33,1),(35,1),(61,1),(69,1),(163,1)}
        50:{1,3,6,7}:{(34,1),(35,1),(62,1),(70,1),(155,1)}
        51:{3,4,6,7}:{(35,1),(36,1),(63,1),(69,1),(70,1),(71,1),(113,1)}
        52:{4,5,7}:{(36,1),(71,1),(72,1)}
        53:{1,2,4,7}:{(37,1),(38,1),(44,1),(73,1),(85,1)}
        54:{1,3,6}:{(38,1),(39,1),(73,1)}
        55:{1,2,3,5}:{(39,1),(74,1),(76,1),(127,1),(129,1)}
        56:{1,3,4}:{(39,1),(76,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(43,1),(78,1),(84,1)}
        58:{2,3,6}:{(41,1),(42,1),(78,1)}
        59:{1,2,3,5}:{(42,1),(79,1),(81,1),(135,1),(137,1)}
        60:{2,3,4}:{(42,1),(81,1)}
        61:{2,3,5,7}:{(43,1),(45,1),(46,1),(49,1),(78,1),(84,1),(92,1)}
        62:{1,3,5,7}:{(44,1),(45,1),(47,1),(50,1),(73,1),(85,1),(93,1)}
        63:{3,4,7}:{(45,1),(48,1),(84,1),(85,1)}
        64:{1,2,3,5,6}:{(46,1),(47,1),(74,1),(79,1),(83,1),(87,1),(127,1),(135,1),(145,1),(150,1),(180,1),(183,1),(187,1),(190,1),(194,1)}
        65:{2,4,6}:{(46,1),(48,1),(84,1),(88,1)}
        66:{1,4,6}:{(47,1),(48,1),(85,1),(89,1)}
        67:{3,4,5}:{(48,1),(88,1),(89,1),(145,1)}
        68:{1,2,3,6,7}:{(49,1),(50,1),(83,1),(91,1),(180,1),(187,1),(194,1),(216,1),(219,1)}
        69:{2,4,6,7}:{(49,1),(51,1),(84,1),(92,1),(142,1)}
        70:{1,4,6,7}:{(50,1),(51,1),(85,1),(93,1),(143,1)}
        71:{3,5,7}:{(51,1),(52,1),(92,1),(93,1),(94,1)}
        72:{4,5,6}:{(52,1),(94,1),(198,1)}
        73:{1,3,7}:{(53,1),(54,1)}
        74:{1,2,3,6}:{(54,1),(55,1),(96,1),(98,1),(159,1)}
        75:{1,3,4,6}:{(54,1),(56,1),(66,1),(97,1),(98,1),(99,1),(114,1),(155,1)}
        76:{1,2,4}:{(55,1),(56,1),(100,1)}
        77:{1,3,4,5}:{(56,1),(99,1),(101,1),(102,1),(173,1)}
        78:{2,3,7}:{(57,1),(58,1)}
        79:{1,2,3,6}:{(58,1),(59,1),(103,1),(105,1),(167,1)}
        80:{2,3,4,6}:{(58,1),(60,1),(65,1),(104,1),(105,1),(106,1),(114,1),(163,1)}
        81:{1,2,4}:{(59,1),(60,1),(107,1)}
        82:{2,3,4,5}:{(60,1),(106,1),(108,1),(109,1),(173,1)}
        83:{1,2,3,5,7}:{(61,1),(62,1),(64,1),(68,1),(96,1),(103,1),(110,1),(120,1),(154,1),(162,1),(169,1),(204,1),(209,1)}
        84:{2,4,7}:{(61,1),(63,1),(65,1)}
        85:{1,4,7}:{(62,1),(63,1),(66,1)}
        86:{3,4,5,7}:{(63,1),(67,1),(71,1),(111,1),(112,1),(113,1),(169,1),(176,1)}
        87:{1,2,4,6}:{(64,1),(65,1),(66,1),(110,1),(114,1),(115,1),(203,1),(208,1)}
        88:{2,4,5}:{(65,1),(67,1),(106,1)}
        89:{1,4,5}:{(66,1),(67,1),(99,1)}
        90:{3,4,5,6}:{(67,1),(113,1),(116,1),(117,1),(118,1),(174,1),(213,1)}
        91:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(110,1),(119,1),(120,1),(170,1),(225,1),(227,1)}
        92:{2,5,7}:{(69,1),(71,1),(121,1)}
        93:{1,5,7}:{(70,1),(71,1),(122,1)}
        94:{3,5,6}:{(71,1),(72,1),(113,1),(121,1),(122,1)}
        95:{4,5,6,7}:{(72,1),(123,1),(214,1)}
        96:{1,2,3,7}:{(73,1),(74,1),(124,1),(185,1)}
        97:{1,3,4,7}:{(73,1),(75,1),(85,1),(124,1),(125,1),(140,1)}
        98:{1,2,4,6}:{(74,1),(75,1),(76,1),(124,1),(126,1),(127,1),(180,1)}
        99:{1,3,5}:{(75,1),(89,1),(127,1),(145,1)}
       100:{2,3,4}:{(76,1),(129,1)}
       101:{1,2,4,5}:{(76,1),(77,1),(127,1),(129,1),(130,1),(182,1)}
       102:{1,3,4,6}:{(77,1),(128,1),(130,1),(131,1),(196,1)}
       103:{1,2,3,7}:{(78,1),(79,1),(132,1),(192,1)}
       104:{2,3,4,7}:{(78,1),(80,1),(84,1),(132,1),(133,1),(140,1)}
       105:{1,2,4,6}:{(79,1),(80,1),(81,1),(132,1),(134,1),(135,1),(187,1)}
       106:{2,3,5}:{(80,1),(88,1),(135,1),(145,1)}
       107:{1,3,4}:{(81,1),(137,1)}
       108:{1,2,4,5}:{(81,1),(82,1),(135,1),(137,1),(138,1),(189,1)}
       109:{2,3,4,6}:{(82,1),(136,1),(138,1),(139,1),(196,1)}
       110:{1,2,4,7}:{(83,1),(84,1),(85,1),(87,1),(140,1),(217,1),(220,1)}
       111:{2,4,5,7}:{(84,1),(86,1),(88,1),(92,1),(133,1),(142,1)}
       112:{1,4,5,7}:{(85,1),(86,1),(89,1),(93,1),(125,1),(143,1)}
       113:{3,4,6}:{(86,1),(94,1),(142,1),(143,1),(194,1),(198,1)}
       114:{3,4,6}:{(87,1),(140,1),(145,1),(194,1)}
       115:{1,2,4,5}:{(87,1),(88,1),(89,1),(127,1),(135,1),(145,1),(182,1),(189,1)}
       116:{2,4,5,6}:{(88,1),(90,1),(136,1),(142,1),(147,1)}
       117:{1,4,5,6}:{(89,1),(90,1),(128,1),(143,1),(148,1)}
       118:{3,4,5,7}:{(90,1),(144,1),(147,1),(148,1),(197,1),(223,1)}
       119:{3,4,6,7}:{(91,1),(140,1),(149,1),(194,1),(198,1)}
       120:{1,2,5,7}:{(91,1),(92,1),(93,1),(149,1),(150,1),(229,1),(230,1)}
       121:{2,5,6}:{(92,1),(94,1),(142,1)}
       122:{1,5,6}:{(93,1),(94,1),(143,1)}
       123:{3,5,6,7}:{(94,1),(95,1),(144,1),(151,1),(152,1)}
       124:{1,2,4,7}:{(96,1),(97,1),(98,1),(153,1),(154,1)}
       125:{1,3,5,7}:{(97,1),(99,1),(112,1),(154,1),(155,1),(169,1)}
       126:{2,3,4,6}:{(98,1),(100,1),(114,1),(153,1),(156,1),(159,1),(201,1),(203,1)}
       127:{1,2,5}:{(98,1),(99,1),(156,1)}
       128:{1,3,5,6}:{(99,1),(102,1),(117,1),(155,1),(157,1),(158,1),(174,1)}
       129:{2,3,5}:{(100,1),(101,1),(159,1)}
       130:{1,2,4,6}:{(101,1),(102,1),(157,1),(159,1),(160,1),(203,1)}
       131:{1,3,4,7}:{(102,1),(158,1),(160,1),(212,1)}
       132:{1,2,4,7}:{(103,1),(104,1),(105,1),(161,1),(162,1)}
       133:{2,3,5,7}:{(104,1),(106,1),(111,1),(162,1),(163,1),(169,1)}
       134:{1,3,4,6}:{(105,1),(107,1),(114,1),(161,1),(164,1),(167,1),(206,1),(208,1)}
       135:{1,2,5}:{(105,1),(106,1),(164,1)}
       136:{2,3,5,6}:{(106,1),(109,1),(116,1),(163,1),(165,1),(166,1),(174,1)}
       137:{1,3,5}:{(107,1),(108,1),(167,1)}
       138:{1,2,4,6}:{(108,1),(109,1),(165,1),(167,1),(168,1),(208,1)}
       139:{2,3,4,7}:{(109,1),(166,1),(168,1),(212,1)}
       140:{3,4,7}:{(110,1),(114,1),(169,1)}
       141:{1,2,4,5,7}:{(110,1),(111,1),(112,1),(115,1),(120,1),(154,1),(162,1),(169,1),(170,1),(176,1),(200,1),(205,1)}
       142:{2,4,6}:{(111,1),(113,1),(121,1),(163,1)}
       143:{1,4,6}:{(112,1),(113,1),(122,1),(155,1)}
       144:{3,4,6,7}:{(113,1),(118,1),(123,1),(171,1),(172,1),(211,1),(214,1)}
       145:{3,5}:{(114,1),(115,1)}
       146:{1,2,4,5,6}:{(115,1),(116,1),(117,1),(157,1),(165,1),(170,1),(174,1),(175,1),(203,1),(208,1),(213,1),(224,1),(226,1)}
       147:{2,4,5,7}:{(116,1),(118,1),(166,1),(171,1)}
       148:{1,4,5,7}:{(117,1),(118,1),(158,1),(172,1)}
       149:{3,5,7}:{(119,1),(120,1),(176,1),(177,1)}
       150:{1,2,5,6}:{(120,1),(121,1),(122,1),(170,1),(177,1),(224,1),(226,1)}
       151:{2,5,6,7}:{(121,1),(123,1),(171,1)}
       152:{1,5,6,7}:{(122,1),(123,1),(172,1)}
       153:{2,3,4,7}:{(124,1),(126,1),(140,1),(179,1),(185,1),(217,1)}
       154:{1,2,5,7}:{(124,1),(125,1),(127,1),(179,1),(180,1)}
       155:{1,3,6}:{(125,1),(143,1),(180,1),(194,1)}
       156:{2,3,5}:{(126,1),(127,1),(145,1),(182,1)}
       157:{1,2,5,6}:{(127,1),(128,1),(130,1),(180,1),(183,1),(184,1)}
       158:{1,3,5,7}:{(128,1),(131,1),(148,1),(181,1),(184,1),(197,1)}
       159:{2,3,6}:{(129,1),(130,1),(185,1)}
       160:{1,2,4,7}:{(130,1),(131,1),(184,1),(185,1),(217,1)}
       161:{1,3,4,7}:{(132,1),(134,1),(140,1),(186,1),(192,1),(220,1)}
       162:{1,2,5,7}:{(132,1),(133,1),(135,1),(186,1),(187,1)}
       163:{2,3,6}:{(133,1),(142,1),(187,1),(194,1)}
       164:{1,3,5}:{(134,1),(135,1),(145,1),(189,1)}
       165:{1,2,5,6}:{(135,1),(136,1),(138,1),(187,1),(190,1),(191,1)}
       166:{2,3,5,7}:{(136,1),(139,1),(147,1),(188,1),(191,1),(197,1)}
       167:{1,3,6}:{(137,1),(138,1),(192,1)}
       168:{1,2,4,7}:{(138,1),(139,1),(191,1),(192,1),(220,1)}
       169:{3,5,7}:{(140,1),(141,1),(145,1),(194,1)}
       170:{1,2,4,6}:{(141,1),(142,1),(143,1),(150,1),(180,1),(187,1),(194,1),(198,1),(215,1),(218,1)}
       171:{2,4,6,7}:{(142,1),(144,1),(147,1),(151,1),(188,1)}
       172:{1,4,6,7}:{(143,1),(144,1),(148,1),(152,1),(181,1)}
       173:{3,4,5}:{(145,1),(182,1),(189,1),(196,1)}
       174:{3,5,6}:{(145,1),(146,1),(194,1),(196,1),(197,1)}
       175:{1,2,4,5,7}:{(146,1),(147,1),(148,1),(184,1),(191,1),(195,1),(197,1),(217,1),(220,1),(223,1),(229,1),(230,1)}
       176:{4,5,7}:{(149,1),(198,1)}
       177:{3,5,6}:{(149,1),(150,1),(194,1),(198,1)}
       178:{1,2,5,6,7}:{(150,1),(151,1),(152,1),(195,1),(199,1),(229,1),(230,1)}
       179:{2,3,5,7}:{(153,1),(154,1),(156,1),(169,1),(200,1),(201,1)}
       180:{1,2,6}:{(154,1),(155,1),(201,1)}
       181:{1,3,6,7}:{(155,1),(158,1),(172,1),(202,1),(211,1)}
       182:{2,4,5}:{(156,1),(173,1),(203,1)}
       183:{2,3,5,6}:{(156,1),(157,1),(159,1),(174,1),(201,1),(203,1),(204,1),(224,1)}
       184:{1,2,5,7}:{(157,1),(158,1),(160,1),(202,1),(204,1)}
       185:{2,3,7}:{(159,1),(160,1)}
       186:{1,3,5,7}:{(161,1),(162,1),(164,1),(169,1),(205,1),(206,1)}
       187:{1,2,6}:{(162,1),(163,1),(206,1)}
       188:{2,3,6,7}:{(163,1),(166,1),(171,1),(207,1),(211,1)}
       189:{1,4,5}:{(164,1),(173,1),(208,1)}
       190:{1,3,5,6}:{(164,1),(165,1),(167,1),(174,1),(206,1),(208,1),(209,1),(226,1)}
       191:{1,2,5,7}:{(165,1),(166,1),(168,1),(207,1),(209,1)}
       192:{1,3,7}:{(167,1),(168,1)}
       193:{3,4,5,7}:{(169,1),(173,1),(176,1),(200,1),(205,1),(210,1),(212,1),(228,1)}
       194:{3,6}:{(169,1),(170,1)}
       195:{1,2,4,6,7}:{(170,1),(171,1),(172,1),(175,1),(178,1),(202,1),(207,1),(211,1),(214,1),(225,1),(227,1)}
       196:{3,4,6}:{(173,1),(174,1),(203,1),(208,1),(212,1)}
       197:{3,5,7}:{(174,1),(175,1),(211,1),(212,1)}
       198:{4,6}:{(176,1),(177,1)}
       199:{3,5,6,7}:{(177,1),(178,1),(211,1),(214,1),(228,1)}
       200:{2,4,5,7}:{(179,1),(182,1),(193,1),(215,1),(217,1),(229,1)}
       201:{2,3,6}:{(179,1),(180,1),(194,1),(215,1)}
       202:{1,2,6,7}:{(180,1),(181,1),(184,1),(216,1)}
       203:{2,4,6}:{(182,1),(183,1),(196,1),(217,1)}
       204:{2,3,5,7}:{(183,1),(184,1),(185,1),(197,1),(216,1),(217,1),(229,1)}
       205:{1,4,5,7}:{(186,1),(189,1),(193,1),(218,1),(220,1),(230,1)}
       206:{1,3,6}:{(186,1),(187,1),(194,1),(218,1)}
       207:{1,2,6,7}:{(187,1),(188,1),(191,1),(219,1)}
       208:{1,4,6}:{(189,1),(190,1),(196,1),(220,1)}
       209:{1,3,5,7}:{(190,1),(191,1),(192,1),(197,1),(219,1),(220,1),(230,1)}
       210:{3,4,6}:{(193,1),(194,1),(198,1),(215,1),(218,1),(221,1)}
       211:{3,6,7}:{(194,1),(195,1),(197,1)}
       212:{3,4,7}:{(196,1),(197,1),(217,1),(220,1)}
       213:{4,5,6}:{(198,1),(221,1),(223,1)}
       214:{4,6,7}:{(198,1),(199,1),(223,1)}
       215:{2,4,6}:{(200,1),(201,1),(210,1),(224,1)}
       216:{2,3,6,7}:{(201,1),(202,1),(204,1),(211,1),(225,1)}
       217:{2,4,7}:{(203,1),(204,1),(212,1)}
       218:{1,4,6}:{(205,1),(206,1),(210,1),(226,1)}
       219:{1,3,6,7}:{(206,1),(207,1),(209,1),(211,1),(227,1)}
       220:{1,4,7}:{(208,1),(209,1),(212,1)}
       221:{3,5,6}:{(210,1),(213,1),(224,1),(226,1),(228,1)}
       222:{3,4,6,7}:{(210,1),(211,1),(212,1),(214,1),(225,1),(227,1),(228,1)}
       223:{4,5,7}:{(213,1),(214,1),(228,1)}
       224:{2,5,6}:{(215,1),(221,1),(229,1)}
       225:{2,4,6,7}:{(215,1),(216,1),(217,1),(222,1),(229,1)}
       226:{1,5,6}:{(218,1),(221,1),(230,1)}
       227:{1,4,6,7}:{(218,1),(219,1),(220,1),(222,1),(230,1)}
       228:{3,5,7}:{(221,1),(222,1),(223,1),(229,1),(230,1)}
       229:{2,5,7}:{(224,1),(225,1),(228,1)}
       230:{1,5,7}:{(226,1),(227,1),(228,1)}

1531 :   0:{1,2,3,6,7}:{(1,1),(2,1),(34,1),(70,1),(71,1),(72,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(16,1),(19,1),(50,1),(79,1),(80,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(20,1),(88,1),(89,1)}
         3:{1,2,3,5,6}:{(1,1),(7,1),(11,1),(22,1),(25,1),(34,1),(58,1),(59,1),(60,1),(70,1)}
         4:{3,4,6,7}:{(2,1),(8,1),(9,1),(29,1),(34,1)}
         5:{1,2,4,7}:{(1,1),(7,1),(9,1),(93,1),(94,1)}
         6:{1,2,5,7}:{(2,1),(8,1),(11,1),(98,1),(99,1)}
         7:{1,2,4,6}:{(3,1),(5,1),(12,1),(13,1),(75,1),(76,1)}
         8:{3,5,7}:{(4,1),(6,1),(14,1),(15,1)}
         9:{3,4,7}:{(5,1),(12,1),(19,1)}
        10:{1,2,4,5,7}:{(5,1),(6,1),(13,1),(14,1),(19,1),(20,1),(46,1),(47,1),(50,1)}
        11:{1,2,5,6}:{(6,1),(15,1),(20,1),(83,1),(84,1)}
        12:{3,4,6}:{(7,1),(9,1),(25,1),(34,1)}
        13:{1,2,4,5}:{(7,1),(25,1),(55,1),(56,1),(58,1)}
        14:{4,5,7}:{(8,1),(29,1)}
        15:{3,5,6}:{(8,1),(11,1),(29,1),(34,1)}
        16:{1,2,3,7}:{(22,1),(31,1),(108,1)}
        17:{2,3,4,7}:{(9,1),(23,1),(31,1),(32,1),(65,1),(93,1),(108,1)}
        18:{1,3,4,7}:{(9,1),(24,1),(31,1),(33,1),(65,1),(94,1),(108,1)}
        19:{3,5,7}:{(9,1),(10,1),(25,1),(34,1)}
        20:{1,2,4,6}:{(10,1),(11,1),(29,1),(34,1),(67,1),(68,1),(70,1)}
        21:{1,2,5,6,7}:{(11,1),(30,1),(35,1),(98,1),(99,1)}
        22:{1,2,3,6}:{(16,1),(36,1),(38,1),(102,1)}
        23:{2,3,4,6}:{(12,1),(17,1),(38,1),(39,1),(51,1),(73,1),(75,1),(81,1),(102,1)}
        24:{1,3,4,6}:{(12,1),(18,1),(38,1),(40,1),(52,1),(73,1),(76,1),(81,1),(102,1)}
        25:{3,5}:{(12,1),(13,1)}
        26:{1,2,4,5,6}:{(13,1),(20,1),(41,1),(42,1),(44,1),(75,1),(76,1),(78,1),(83,1),(84,1)}
        27:{1,2,3,5,7}:{(16,1),(36,1),(43,1),(45,1),(50,1),(82,1),(86,1)}
        28:{3,4,5,7}:{(14,1),(19,1),(37,1),(46,1),(47,1),(48,1),(77,1),(85,1),(86,1),(104,1),(111,1)}
        29:{4,6}:{(14,1),(15,1)}
        30:{3,5,6,7}:{(15,1),(21,1),(49,1),(53,1),(85,1)}
        31:{1,2,4,7}:{(16,1),(17,1),(18,1),(38,1),(50,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(39,1),(46,1),(50,1),(51,1),(86,1)}
        33:{1,3,5,7}:{(18,1),(19,1),(40,1),(47,1),(50,1),(52,1),(86,1)}
        34:{3,6}:{(19,1),(20,1)}
        35:{1,2,4,6,7}:{(20,1),(21,1),(42,1),(49,1),(53,1),(88,1),(89,1),(90,1)}
        36:{1,2,3,5}:{(22,1),(54,1),(58,1),(91,1)}
        37:{3,4,5}:{(25,1),(55,1),(56,1),(57,1),(91,1)}
        38:{1,2,4,6}:{(22,1),(23,1),(24,1),(31,1),(54,1),(58,1),(70,1)}
        39:{2,3,5}:{(23,1),(25,1),(55,1),(58,1),(91,1),(96,1)}
        40:{1,3,5}:{(24,1),(25,1),(56,1),(58,1),(91,1),(96,1)}
        41:{3,5,6}:{(25,1),(26,1),(34,1),(57,1),(61,1)}
        42:{1,2,4,5,7}:{(26,1),(35,1),(61,1),(64,1),(93,1),(94,1),(95,1),(98,1),(99,1)}
        43:{1,2,3,6}:{(27,1),(62,1),(70,1),(100,1)}
        44:{4,5,6}:{(29,1),(63,1),(64,1),(109,1)}
        45:{1,2,4,7}:{(27,1),(54,1),(62,1),(65,1)}
        46:{2,4,5,7}:{(28,1),(32,1),(55,1),(67,1),(93,1),(98,1)}
        47:{1,4,5,7}:{(28,1),(33,1),(56,1),(68,1),(94,1),(99,1)}
        48:{3,4,6}:{(28,1),(29,1),(34,1),(63,1),(67,1),(68,1),(100,1),(109,1)}
        49:{4,6,7}:{(29,1),(30,1),(64,1)}
        50:{1,2,5,7}:{(31,1),(32,1),(33,1),(58,1),(70,1)}
        51:{2,3,6}:{(32,1),(34,1),(67,1),(70,1),(100,1)}
        52:{1,3,6}:{(33,1),(34,1),(68,1),(70,1),(100,1)}
        53:{3,6,7}:{(34,1),(35,1),(61,1)}
        54:{1,2,4}:{(36,1),(73,1)}
        55:{2,4,5}:{(37,1),(39,1),(75,1),(104,1)}
        56:{1,4,5}:{(37,1),(40,1),(76,1),(104,1)}
        57:{3,4,6}:{(37,1),(41,1),(75,1),(76,1),(77,1),(102,1)}
        58:{1,2,5}:{(38,1),(39,1),(40,1)}
        59:{2,3,5,6}:{(39,1),(41,1),(51,1),(75,1),(78,1),(79,1),(83,1),(102,1),(105,1)}
        60:{1,3,5,6}:{(40,1),(41,1),(52,1),(76,1),(78,1),(80,1),(84,1),(102,1),(105,1)}
        61:{3,5,7}:{(41,1),(42,1),(53,1),(77,1)}
        62:{1,2,4,6}:{(43,1),(45,1),(81,1),(82,1)}
        63:{3,5,6}:{(44,1),(48,1),(83,1),(84,1),(85,1)}
        64:{4,5,7}:{(44,1),(49,1),(85,1),(111,1)}
        65:{3,4,7}:{(45,1),(73,1),(81,1),(86,1),(111,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(50,1),(74,1),(82,1),(86,1),(87,1),(103,1),(104,1),(106,1),(111,1)}
        67:{2,4,6}:{(46,1),(48,1),(51,1),(83,1)}
        68:{1,4,6}:{(47,1),(48,1),(52,1),(84,1)}
        69:{3,4,6,7}:{(48,1),(49,1),(53,1),(77,1),(85,1),(88,1),(89,1),(107,1),(111,1)}
        70:{1,2,6}:{(50,1),(51,1),(52,1)}
        71:{2,3,6,7}:{(51,1),(53,1),(79,1),(88,1),(90,1),(107,1)}
        72:{1,3,6,7}:{(52,1),(53,1),(80,1),(89,1),(90,1),(107,1)}
        73:{3,4}:{(54,1),(91,1)}
        74:{1,2,4,5}:{(54,1),(55,1),(56,1),(58,1),(91,1),(92,1)}
        75:{2,4,6}:{(55,1),(57,1),(59,1),(93,1),(109,1)}
        76:{1,4,6}:{(56,1),(57,1),(60,1),(94,1),(109,1)}
        77:{3,4,7}:{(57,1),(61,1),(93,1),(94,1),(108,1)}
        78:{1,2,5,6}:{(58,1),(59,1),(60,1),(70,1),(92,1),(95,1)}
        79:{2,3,5,7}:{(59,1),(61,1),(71,1),(93,1),(95,1),(98,1),(108,1),(110,1)}
        80:{1,3,5,7}:{(60,1),(61,1),(72,1),(94,1),(95,1),(99,1),(108,1),(110,1)}
        81:{3,4,6}:{(62,1),(65,1),(96,1),(100,1),(109,1)}
        82:{1,2,5}:{(62,1),(96,1)}
        83:{2,5,6}:{(63,1),(67,1),(98,1)}
        84:{1,5,6}:{(63,1),(68,1),(99,1)}
        85:{3,5,7}:{(63,1),(64,1),(69,1),(98,1),(99,1)}
        86:{3,5,7}:{(65,1),(66,1),(91,1),(96,1),(100,1),(108,1)}
        87:{1,2,4,6}:{(66,1),(67,1),(68,1),(70,1),(97,1),(100,1),(109,1)}
        88:{2,4,6,7}:{(67,1),(69,1),(71,1),(93,1),(98,1)}
        89:{1,4,6,7}:{(68,1),(69,1),(72,1),(94,1),(99,1)}
        90:{1,2,6,7}:{(70,1),(71,1),(72,1),(95,1)}
        91:{3,5}:{(73,1),(74,1),(102,1)}
        92:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(102,1),(103,1)}
        93:{2,4,7}:{(75,1),(77,1),(79,1),(111,1)}
        94:{1,4,7}:{(76,1),(77,1),(80,1),(111,1)}
        95:{1,2,5,7}:{(78,1),(79,1),(80,1),(90,1),(103,1)}
        96:{3,5}:{(81,1),(82,1),(104,1)}
        97:{1,2,5,6}:{(82,1),(83,1),(84,1),(87,1),(105,1),(106,1)}
        98:{2,5,7}:{(83,1),(85,1),(88,1)}
        99:{1,5,7}:{(84,1),(85,1),(89,1)}
       100:{3,6}:{(86,1),(87,1)}
       101:{1,2,4,6,7}:{(87,1),(88,1),(89,1),(90,1),(103,1),(106,1),(107,1),(111,1)}
       102:{3,6}:{(91,1),(92,1),(108,1)}
       103:{1,2,4,7}:{(92,1),(93,1),(94,1),(95,1),(108,1)}
       104:{4,5}:{(96,1),(109,1)}
       105:{3,5,6}:{(96,1),(97,1),(100,1),(109,1),(110,1)}
       106:{1,2,5,7}:{(97,1),(98,1),(99,1),(101,1),(110,1)}
       107:{3,6,7}:{(100,1),(101,1),(108,1),(110,1)}
       108:{3,7}:{(102,1),(103,1)}
       109:{4,6}:{(104,1),(105,1),(111,1)}
       110:{3,5,7}:{(105,1),(106,1),(107,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1532 :  0:{1,2,6,7}:{(3,1),(4,1),(51,1),(52,1)}
        1:{1,2,5,6}:{(4,1),(5,1),(6,1),(41,1),(42,1),(51,1),(52,1)}
        2:{1,2,4,5}:{(6,1),(7,1),(19,1),(23,1),(24,1),(25,1),(41,1),(42,1)}
        3:{3,6,7}:{(0,1),(8,1),(9,1),(45,1)}
        4:{1,2,5,7}:{(0,1),(1,1),(9,1),(10,1),(46,1),(47,1)}
        5:{3,5,6}:{(1,1),(9,1),(11,1),(12,1),(26,1),(31,1),(45,1)}
        6:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(12,1),(32,1),(33,1),(34,1)}
        7:{3,5}:{(2,1),(12,1),(13,1)}
        8:{4,6,7}:{(3,1),(16,1),(17,1),(36,1)}
        9:{3,5,7}:{(3,1),(4,1),(5,1),(16,1),(17,1),(18,1)}
       10:{1,2,4,7}:{(4,1),(6,1),(17,1),(18,1),(38,1),(39,1),(40,1)}
       11:{4,6}:{(5,1),(17,1),(19,1)}
       12:{3,6}:{(6,1),(7,1),(18,1)}
       13:{3,4}:{(7,1),(23,1),(24,1),(44,1)}
       14:{1,3,5}:{(7,1),(21,1),(23,1),(25,1),(41,1),(44,1),(55,1)}
       15:{2,3,5}:{(7,1),(22,1),(24,1),(25,1),(42,1),(44,1),(55,1)}
       16:{5,7}:{(8,1),(26,1)}
       17:{4,7}:{(9,1),(11,1)}
       18:{3,7}:{(10,1),(12,1)}
       19:{4,5}:{(11,1),(31,1),(58,1)}
       20:{3,4,6}:{(11,1),(12,1),(13,1),(28,1),(31,1),(32,1),(33,1),(45,1),(50,1),(58,1),(61,1)}
       21:{1,3,6}:{(12,1),(14,1),(29,1),(32,1),(34,1),(50,1)}
       22:{2,3,6}:{(12,1),(15,1),(30,1),(33,1),(34,1),(50,1)}
       23:{1,4}:{(13,1),(14,1),(58,1)}
       24:{2,4}:{(13,1),(15,1),(58,1)}
       25:{1,2,5}:{(14,1),(15,1),(34,1),(35,1)}
       26:{5,6}:{(16,1),(36,1),(62,1)}
       27:{4,5,7}:{(16,1),(17,1),(19,1),(36,1),(37,1),(60,1),(62,1)}
       28:{3,4,7}:{(17,1),(18,1),(20,1),(37,1),(38,1),(39,1),(54,1),(60,1)}
       29:{1,3,7}:{(18,1),(21,1),(38,1),(40,1),(54,1)}
       30:{2,3,7}:{(18,1),(22,1),(39,1),(40,1),(54,1)}
       31:{3,5}:{(19,1),(20,1),(41,1),(42,1),(62,1)}
       32:{1,4,6}:{(20,1),(21,1),(23,1),(38,1),(41,1),(51,1)}
       33:{2,4,6}:{(20,1),(22,1),(24,1),(39,1),(42,1),(52,1)}
       34:{1,2,6}:{(21,1),(22,1),(25,1),(40,1)}
       35:{1,2,4}:{(23,1),(24,1),(25,1),(44,1)}
       36:{4,6}:{(26,1),(27,1),(45,1)}
       37:{3,5,7}:{(27,1),(28,1),(31,1),(45,1),(46,1),(47,1)}
       38:{1,4,7}:{(28,1),(29,1),(32,1),(46,1)}
       39:{2,4,7}:{(28,1),(30,1),(33,1),(47,1)}
       40:{1,2,7}:{(29,1),(30,1),(34,1)}
       41:{1,5}:{(31,1),(32,1)}
       42:{2,5}:{(31,1),(33,1)}
       43:{1,2,4,6}:{(32,1),(33,1),(34,1),(35,1),(48,1),(49,1),(50,1),(56,1),(58,1),(61,1)}
       44:{3}:{(35,1)}
       45:{3,6}:{(36,1),(37,1),(51,1),(52,1)}
       46:{1,5,7}:{(37,1),(38,1),(41,1),(51,1)}
       47:{2,5,7}:{(37,1),(39,1),(42,1),(52,1)}
       48:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1),(53,1),(54,1),(60,1)}
       49:{1,2,5}:{(41,1),(42,1),(43,1),(55,1),(62,1)}
       50:{3,6}:{(43,1),(44,1),(54,1),(55,1)}
       51:{1,6}:{(45,1),(46,1)}
       52:{2,6}:{(45,1),(47,1)}
       53:{1,2,5,7}:{(46,1),(47,1),(48,1),(49,1),(56,1),(57,1)}
       54:{3,7}:{(48,1),(50,1)}
       55:{3,5}:{(49,1),(50,1),(58,1)}
       56:{1,2,6}:{(51,1),(52,1),(53,1),(59,1)}
       57:{3,5,7}:{(53,1),(54,1),(55,1),(59,1),(60,1),(62,1)}
       58:{4}:{(55,1)}
       59:{3,6}:{(56,1),(57,1),(61,1)}
       60:{4,7}:{(57,1),(58,1),(61,1)}
       61:{4,6}:{(59,1),(60,1),(62,1)}
       62:{5}:{(61,1)}

1533 :  0:{1,3,4,5,7}:{(2,1),(3,1),(15,1),(55,1),(56,1)}
        1:{2,3,4,5,7}:{(2,1),(4,1),(17,1),(55,1),(56,1)}
        2:{1,2,4,5,7}:{(0,1),(1,1),(5,1),(6,1),(22,1),(42,1),(43,1)}
        3:{1,3,4,6}:{(0,1),(6,1),(8,1),(44,1)}
        4:{2,3,4,6}:{(1,1),(6,1),(10,1),(44,1)}
        5:{1,2,3,5,7}:{(2,1),(11,1),(12,1),(30,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(4,1),(12,1),(14,1)}
        7:{1,3,4,6,7}:{(3,1),(13,1),(15,1),(36,1),(56,1),(59,1)}
        8:{1,3,5,6}:{(3,1),(14,1),(15,1),(16,1),(35,1)}
        9:{2,3,4,6,7}:{(4,1),(13,1),(17,1),(39,1),(56,1),(59,1)}
       10:{2,3,5,6}:{(4,1),(14,1),(17,1),(18,1),(35,1)}
       11:{1,2,3,4,7}:{(5,1),(19,1),(43,1),(82,1)}
       12:{1,2,3,6}:{(5,1),(6,1)}
       13:{1,2,4,6,7}:{(6,1),(7,1),(9,1),(20,1),(22,1),(43,1)}
       14:{1,2,5,6}:{(6,1),(8,1),(10,1),(22,1)}
       15:{1,3,5,7}:{(7,1),(8,1),(22,1),(25,1),(46,1)}
       16:{1,4,5,6}:{(8,1),(25,1),(26,1)}
       17:{2,3,5,7}:{(9,1),(10,1),(22,1),(28,1),(46,1)}
       18:{2,4,5,6}:{(10,1),(28,1),(29,1)}
       19:{1,2,3,4,6}:{(11,1),(12,1),(30,1),(32,1),(79,1),(83,1)}
       20:{1,2,3,6,7}:{(12,1),(13,1),(31,1),(59,1),(80,1)}
       21:{1,2,3,5,6}:{(12,1),(14,1),(30,1),(31,1),(32,1),(35,1),(62,1),(79,1)}
       22:{1,2,5,7}:{(13,1),(14,1),(15,1),(17,1)}
       23:{1,2,4,5,6}:{(14,1),(16,1),(18,1),(32,1),(34,1),(35,1),(38,1),(41,1),(62,1)}
       24:{1,3,5,6,7}:{(15,1),(33,1),(36,1),(59,1),(63,1)}
       25:{1,4,5,7}:{(15,1),(16,1),(36,1),(37,1)}
       26:{3,4,5,6}:{(16,1),(35,1),(37,1),(38,1)}
       27:{2,3,5,6,7}:{(17,1),(33,1),(39,1),(59,1),(65,1)}
       28:{2,4,5,7}:{(17,1),(18,1),(39,1),(40,1)}
       29:{3,4,5,6}:{(18,1),(35,1),(40,1),(41,1)}
       30:{1,2,3,5}:{(19,1),(42,1)}
       31:{1,2,3,5,7}:{(20,1),(21,1),(22,1),(43,1),(46,1),(74,1),(82,1)}
       32:{1,2,4,6}:{(21,1),(42,1),(43,1),(44,1)}
       33:{1,2,5,6,7}:{(22,1),(24,1),(27,1),(45,1),(75,1),(76,1)}
       34:{1,2,4,5,7}:{(22,1),(23,1),(25,1),(28,1),(43,1),(45,1),(46,1),(51,1),(54,1),(74,1)}
       35:{3,5,6}:{(23,1),(44,1),(46,1)}
       36:{1,4,6,7}:{(24,1),(25,1),(50,1)}
       37:{3,4,5,7}:{(25,1),(26,1),(46,1),(50,1),(51,1)}
       38:{2,4,5,6}:{(26,1),(48,1),(51,1)}
       39:{2,4,6,7}:{(27,1),(28,1),(53,1)}
       40:{3,4,5,7}:{(28,1),(29,1),(46,1),(53,1),(54,1)}
       41:{1,4,5,6}:{(29,1),(47,1),(54,1)}
       42:{1,2,4,5}:{(30,1),(32,1),(55,1)}
       43:{1,2,4,7}:{(31,1),(32,1),(56,1)}
       44:{3,4,6}:{(32,1),(35,1),(55,1),(56,1)}
       45:{1,2,4,6,7}:{(33,1),(34,1),(36,1),(39,1),(59,1),(64,1),(66,1),(80,1)}
       46:{3,5,7}:{(34,1),(35,1),(56,1),(59,1)}
       47:{1,3,5,6}:{(35,1),(41,1),(57,1),(60,1),(62,1)}
       48:{2,3,5,6}:{(35,1),(38,1),(58,1),(61,1),(62,1)}
       49:{1,4,5,6,7}:{(36,1),(63,1)}
       50:{3,4,6,7}:{(36,1),(37,1),(59,1),(63,1),(64,1)}
       51:{2,4,5,7}:{(37,1),(38,1),(61,1),(64,1)}
       52:{2,4,5,6,7}:{(39,1),(65,1)}
       53:{3,4,6,7}:{(39,1),(40,1),(59,1),(65,1),(66,1)}
       54:{1,4,5,7}:{(40,1),(41,1),(60,1),(66,1)}
       55:{3,4,5}:{(42,1),(44,1)}
       56:{3,4,7}:{(43,1),(44,1),(46,1)}
       57:{1,3,4,6}:{(44,1),(47,1),(67,1),(69,1),(71,1)}
       58:{2,3,4,6}:{(44,1),(48,1),(68,1),(70,1),(71,1)}
       59:{3,6,7}:{(45,1),(46,1)}
       60:{1,3,5,7}:{(46,1),(47,1),(54,1),(69,1),(72,1),(74,1)}
       61:{2,3,5,7}:{(46,1),(48,1),(51,1),(70,1),(73,1),(74,1)}
       62:{1,2,5,6}:{(47,1),(48,1),(71,1),(74,1)}
       63:{3,5,6,7}:{(49,1),(50,1),(75,1)}
       64:{2,4,6,7}:{(50,1),(51,1),(73,1),(75,1)}
       65:{3,5,6,7}:{(52,1),(53,1),(76,1)}
       66:{1,4,6,7}:{(53,1),(54,1),(72,1),(76,1)}
       67:{1,3,4,5}:{(55,1),(57,1),(77,1)}
       68:{2,3,4,5}:{(55,1),(58,1),(77,1)}
       69:{1,3,4,7}:{(56,1),(57,1),(60,1),(78,1)}
       70:{2,3,4,7}:{(56,1),(58,1),(61,1),(78,1)}
       71:{1,2,4,6}:{(57,1),(58,1),(62,1),(77,1),(78,1),(79,1)}
       72:{1,3,6,7}:{(59,1),(60,1),(66,1),(80,1)}
       73:{2,3,6,7}:{(59,1),(61,1),(64,1),(80,1)}
       74:{1,2,5,7}:{(60,1),(61,1),(62,1),(78,1),(80,1)}
       75:{2,5,6,7}:{(63,1),(64,1)}
       76:{1,5,6,7}:{(65,1),(66,1)}
       77:{1,2,4,5}:{(67,1),(68,1),(71,1),(81,1)}
       78:{1,2,4,7}:{(69,1),(70,1),(71,1),(74,1),(82,1)}
       79:{1,2,3,6}:{(71,1),(81,1),(82,1)}
       80:{1,2,6,7}:{(72,1),(73,1),(74,1)}
       81:{1,2,3,5}:{(77,1),(79,1),(83,1)}
       82:{1,2,3,7}:{(78,1),(79,1)}
       83:{1,2,3,4}:{(81,1)}

1534 :   0:{1,2,3,5,6,7}:{(1,1),(6,1),(19,1),(20,1),(23,1),(24,1),(28,1),(58,1),(87,1),(88,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(30,1),(31,1),(104,1),(105,1),(125,1)}
         2:{1,2,4,5,7}:{(1,1),(5,1),(6,1),(21,1),(22,1),(23,1),(135,1)}
         3:{3,4,6,7}:{(1,1),(6,1),(18,1),(58,1),(89,1),(134,1)}
         4:{1,2,4,5,6,7}:{(5,1),(9,1),(26,1),(27,1),(28,1),(55,1),(94,1)}
         5:{1,2,4,5,6}:{(2,1),(10,1),(30,1),(31,1),(32,1)}
         6:{3,5,7}:{(2,1),(3,1),(10,1),(138,1)}
         7:{1,3,4,6,7}:{(3,1),(12,1),(14,1),(30,1),(65,1),(69,1),(74,1),(100,1),(105,1)}
         8:{2,3,4,6,7}:{(3,1),(13,1),(14,1),(31,1),(65,1),(69,1),(73,1),(99,1),(104,1)}
         9:{3,5,6,7}:{(4,1),(10,1),(15,1),(72,1),(110,1)}
        10:{3,5,6}:{(5,1),(6,1),(18,1)}
        11:{3,4,5,7}:{(6,1),(18,1),(21,1),(22,1),(51,1),(89,1),(114,1)}
        12:{1,3,5,7}:{(6,1),(7,1),(19,1),(21,1),(23,1),(51,1),(117,1)}
        13:{2,3,5,7}:{(6,1),(8,1),(20,1),(22,1),(23,1),(51,1),(116,1)}
        14:{1,2,4,6,7}:{(7,1),(8,1),(23,1),(24,1),(47,1),(52,1),(115,1)}
        15:{3,4,6,7}:{(9,1),(18,1),(25,1),(26,1),(27,1),(58,1),(89,1),(121,1)}
        16:{1,3,5,6,7}:{(9,1),(19,1),(26,1),(28,1),(53,1),(58,1),(88,1),(124,1)}
        17:{2,3,5,6,7}:{(9,1),(20,1),(27,1),(28,1),(54,1),(58,1),(87,1),(123,1)}
        18:{3,4,6}:{(10,1),(11,1),(30,1),(31,1),(65,1)}
        19:{1,3,5,6}:{(10,1),(12,1),(30,1),(32,1),(65,1)}
        20:{2,3,5,6}:{(10,1),(13,1),(31,1),(32,1),(65,1)}
        21:{1,4,5,7}:{(11,1),(12,1),(30,1),(105,1),(127,1)}
        22:{2,4,5,7}:{(11,1),(13,1),(31,1),(104,1),(126,1)}
        23:{1,2,5,7}:{(12,1),(13,1),(14,1),(32,1),(128,1)}
        24:{1,2,3,6,7}:{(14,1),(36,1),(65,1),(73,1),(74,1),(98,1)}
        25:{3,4,5,7}:{(15,1),(29,1),(37,1),(38,1),(72,1)}
        26:{1,4,6,7}:{(15,1),(16,1),(30,1),(37,1),(105,1),(132,1)}
        27:{2,4,6,7}:{(15,1),(17,1),(31,1),(38,1),(104,1),(131,1)}
        28:{1,2,5,6,7}:{(16,1),(17,1),(32,1),(41,1),(70,1),(71,1),(133,1)}
        29:{3,4,5,6}:{(18,1),(25,1),(43,1),(44,1),(79,1),(114,1),(121,1)}
        30:{1,4,6}:{(18,1),(19,1),(21,1)}
        31:{2,4,6}:{(18,1),(20,1),(22,1)}
        32:{1,2,5,6}:{(19,1),(20,1),(23,1),(47,1)}
        33:{1,3,4,5,7}:{(21,1),(45,1),(49,1),(51,1),(53,1),(86,1),(89,1),(114,1),(117,1),(120,1),(136,1)}
        34:{2,3,4,5,7}:{(22,1),(46,1),(50,1),(51,1),(54,1),(85,1),(89,1),(114,1),(116,1),(119,1),(136,1)}
        35:{1,2,4,5,7}:{(21,1),(22,1),(23,1),(47,1),(51,1),(52,1),(83,1)}
        36:{1,2,3,5,7}:{(23,1),(24,1),(48,1),(51,1),(52,1),(87,1),(88,1)}
        37:{1,4,5,7}:{(25,1),(26,1),(43,1),(53,1)}
        38:{2,4,5,7}:{(25,1),(27,1),(44,1),(54,1)}
        39:{1,3,4,6,7}:{(26,1),(45,1),(53,1),(56,1),(58,1),(89,1)}
        40:{2,3,4,6,7}:{(27,1),(46,1),(54,1),(57,1),(58,1),(89,1)}
        41:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(47,1),(55,1),(58,1),(137,1)}
        42:{1,2,3,5,6,7}:{(28,1),(48,1),(58,1),(59,1),(87,1),(88,1),(90,1),(93,1),(122,1),(123,1),(124,1)}
        43:{1,4,5,6}:{(29,1),(30,1),(37,1),(60,1),(127,1),(132,1)}
        44:{2,4,5,6}:{(29,1),(31,1),(38,1),(61,1),(126,1),(131,1)}
        45:{1,3,4,6}:{(30,1),(33,1),(60,1),(63,1),(65,1),(97,1),(132,1),(139,1)}
        46:{2,3,4,6}:{(31,1),(34,1),(61,1),(64,1),(65,1),(97,1),(131,1),(139,1)}
        47:{1,2,4,6}:{(30,1),(31,1),(32,1),(35,1),(65,1)}
        48:{1,2,3,5,6}:{(32,1),(36,1),(65,1),(66,1),(95,1),(96,1),(98,1),(101,1),(128,1)}
        49:{1,2,4,5,7}:{(33,1),(63,1),(67,1),(70,1),(102,1),(104,1),(126,1),(128,1)}
        50:{1,2,4,5,7}:{(34,1),(64,1),(68,1),(71,1),(102,1),(105,1),(127,1),(128,1)}
        51:{3,5,7}:{(35,1),(65,1),(69,1),(101,1)}
        52:{1,2,4,7}:{(36,1),(66,1),(69,1),(104,1),(105,1)}
        53:{1,3,5,7}:{(37,1),(39,1),(60,1),(70,1),(72,1)}
        54:{2,3,5,7}:{(38,1),(40,1),(61,1),(71,1),(72,1)}
        55:{1,2,4,5,7}:{(37,1),(38,1),(41,1),(62,1),(70,1),(71,1),(72,1),(104,1),(105,1)}
        56:{1,2,4,6,7}:{(39,1),(63,1),(70,1),(73,1),(104,1)}
        57:{1,2,4,6,7}:{(40,1),(64,1),(71,1),(74,1),(105,1)}
        58:{3,6,7}:{(41,1),(65,1),(72,1),(139,1)}
        59:{1,2,4,6,7}:{(42,1),(66,1),(75,1),(76,1),(104,1),(105,1),(131,1),(132,1)}
        60:{1,3,5,6}:{(43,1),(45,1),(53,1),(77,1),(79,1),(117,1)}
        61:{2,3,5,6}:{(44,1),(46,1),(54,1),(78,1),(79,1),(116,1)}
        62:{1,2,4,5,6}:{(43,1),(44,1),(47,1),(55,1),(77,1),(78,1),(79,1),(83,1),(112,1),(113,1),(135,1),(137,1)}
        63:{1,2,4,6}:{(45,1),(49,1),(77,1),(80,1),(112,1)}
        64:{1,2,4,6}:{(46,1),(50,1),(78,1),(81,1),(113,1)}
        65:{3,6}:{(47,1),(51,1)}
        66:{1,2,4,6}:{(48,1),(52,1),(82,1),(83,1),(112,1),(113,1)}
        67:{2,3,5,7}:{(49,1),(51,1),(80,1),(85,1),(116,1),(136,1)}
        68:{1,3,5,7}:{(50,1),(51,1),(81,1),(86,1),(117,1),(136,1)}
        69:{3,4,7}:{(51,1),(52,1),(82,1)}
        70:{1,2,5,7}:{(53,1),(56,1),(77,1),(87,1)}
        71:{1,2,5,7}:{(54,1),(57,1),(78,1),(88,1)}
        72:{3,5,7}:{(55,1),(58,1),(79,1),(89,1)}
        73:{2,3,6,7}:{(56,1),(58,1),(80,1),(87,1)}
        74:{1,3,6,7}:{(57,1),(58,1),(81,1),(88,1)}
        75:{3,4,6,7}:{(58,1),(59,1),(82,1),(89,1),(93,1),(121,1)}
        76:{1,2,4,5,7}:{(59,1),(83,1),(93,1),(94,1),(119,1),(120,1),(122,1)}
        77:{1,2,5,6}:{(60,1),(63,1),(70,1),(95,1),(128,1)}
        78:{1,2,5,6}:{(61,1),(64,1),(71,1),(96,1),(128,1)}
        79:{3,5,6}:{(62,1),(65,1),(72,1),(97,1),(101,1),(138,1),(139,1)}
        80:{2,3,6}:{(63,1),(65,1),(67,1),(139,1)}
        81:{1,3,6}:{(64,1),(65,1),(68,1),(139,1)}
        82:{3,4,6}:{(65,1),(66,1),(69,1),(101,1)}
        83:{1,2,4,5}:{(66,1),(101,1),(126,1),(127,1),(128,1)}
        84:{1,2,3,5,7}:{(67,1),(68,1),(98,1),(102,1),(128,1)}
        85:{2,3,4,7}:{(67,1),(69,1),(99,1),(102,1),(104,1),(129,1)}
        86:{1,3,4,7}:{(68,1),(69,1),(100,1),(102,1),(105,1),(129,1)}
        87:{2,3,5,7}:{(70,1),(72,1),(73,1),(95,1),(104,1)}
        88:{1,3,5,7}:{(71,1),(72,1),(74,1),(96,1),(105,1)}
        89:{3,4,7}:{(72,1),(97,1),(104,1),(105,1)}
        90:{1,2,3,6,7}:{(73,1),(74,1),(98,1),(103,1),(107,1),(139,1)}
        91:{2,3,4,6,7}:{(73,1),(75,1),(99,1),(104,1),(107,1),(108,1),(129,1),(131,1),(139,1)}
        92:{1,3,4,6,7}:{(74,1),(75,1),(100,1),(105,1),(107,1),(109,1),(129,1),(132,1),(139,1)}
        93:{3,5,7}:{(75,1),(76,1),(101,1),(110,1)}
        94:{1,2,4,5,6}:{(76,1),(110,1),(131,1),(132,1),(133,1)}
        95:{2,3,5,6}:{(77,1),(79,1),(80,1),(87,1),(112,1),(116,1)}
        96:{1,3,5,6}:{(78,1),(79,1),(81,1),(88,1),(113,1),(117,1)}
        97:{3,4,6}:{(79,1),(89,1),(112,1),(113,1),(114,1)}
        98:{1,2,3,6}:{(80,1),(81,1),(84,1),(115,1)}
        99:{2,3,4,6}:{(80,1),(82,1),(85,1),(112,1),(115,1),(116,1),(134,1)}
       100:{1,3,4,6}:{(81,1),(82,1),(86,1),(113,1),(115,1),(117,1),(134,1)}
       101:{3,5}:{(82,1),(83,1)}
       102:{1,2,4,7}:{(84,1),(85,1),(86,1),(115,1)}
       103:{1,2,3,5,7}:{(87,1),(88,1),(90,1),(111,1),(118,1),(122,1),(136,1)}
       104:{2,4,7}:{(87,1),(89,1),(112,1)}
       105:{1,4,7}:{(88,1),(89,1),(113,1)}
       106:{3,4,5,7}:{(89,1),(93,1),(114,1),(119,1),(120,1),(121,1),(136,1)}
       107:{1,2,4,6,7}:{(90,1),(91,1),(92,1),(115,1),(118,1),(122,1),(137,1)}
       108:{2,3,5,7}:{(91,1),(93,1),(116,1),(119,1),(122,1),(123,1),(136,1)}
       109:{1,3,5,7}:{(92,1),(93,1),(117,1),(120,1),(122,1),(124,1),(136,1)}
       110:{3,5,6}:{(93,1),(94,1),(121,1)}
       111:{1,2,3,5,6}:{(95,1),(96,1),(98,1),(103,1),(125,1),(128,1),(133,1),(138,1),(139,1)}
       112:{2,4,6}:{(95,1),(97,1),(104,1),(126,1)}
       113:{1,4,6}:{(96,1),(97,1),(105,1),(127,1)}
       114:{3,4,5}:{(97,1),(101,1),(126,1),(127,1),(138,1)}
       115:{1,2,4,6}:{(98,1),(99,1),(100,1),(102,1),(128,1)}
       116:{2,3,5}:{(99,1),(101,1),(126,1),(128,1),(138,1)}
       117:{1,3,5}:{(100,1),(101,1),(127,1),(128,1),(138,1)}
       118:{1,2,4,7}:{(103,1),(104,1),(105,1),(125,1),(129,1)}
       119:{2,4,5,7}:{(104,1),(106,1),(108,1),(126,1),(131,1)}
       120:{1,4,5,7}:{(105,1),(106,1),(109,1),(127,1),(132,1)}
       121:{3,4,6}:{(106,1),(110,1),(131,1),(132,1),(139,1)}
       122:{1,2,5,7}:{(107,1),(108,1),(109,1),(128,1),(133,1)}
       123:{2,3,5,6}:{(108,1),(110,1),(131,1),(133,1),(139,1)}
       124:{1,3,5,6}:{(109,1),(110,1),(132,1),(133,1),(139,1)}
       125:{1,2,4,6}:{(111,1),(112,1),(113,1),(118,1),(134,1),(135,1)}
       126:{2,4,5}:{(112,1),(114,1),(116,1)}
       127:{1,4,5}:{(113,1),(114,1),(117,1)}
       128:{1,2,5}:{(115,1),(116,1),(117,1)}
       129:{3,4,7}:{(118,1),(134,1),(136,1)}
       130:{1,2,4,5,7}:{(118,1),(119,1),(120,1),(122,1),(135,1),(136,1),(137,1)}
       131:{2,4,6}:{(119,1),(121,1),(123,1)}
       132:{1,4,6}:{(120,1),(121,1),(124,1)}
       133:{1,2,5,6}:{(122,1),(123,1),(124,1),(137,1)}
       134:{3,4,6}:{(125,1),(129,1),(138,1),(139,1)}
       135:{1,2,4,5}:{(125,1),(126,1),(127,1),(128,1),(138,1)}
       136:{3,5,7}:{(129,1),(130,1),(138,1),(139,1)}
       137:{1,2,4,6}:{(130,1),(131,1),(132,1),(133,1),(139,1)}
       138:{3,5}:{(134,1),(135,1)}
       139:{3,6}:{(136,1),(137,1)}

1535 :   0:{2,3,4,5}:{(3,1),(4,1),(36,1)}
         1:{1,3,4,5}:{(3,1),(5,1),(36,1)}
         2:{1,2,3,4}:{(6,1)}
         3:{1,2,4,5}:{(0,1),(1,1),(6,1),(8,1)}
         4:{2,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(48,1)}
         5:{1,3,4,6}:{(1,1),(8,1),(11,1),(12,1),(48,1)}
         6:{1,2,3,5}:{(2,1),(3,1),(13,1)}
         7:{1,2,3,4,6}:{(2,1),(13,1),(14,1),(15,1),(34,1),(38,1),(96,1),(99,1)}
         8:{1,2,4,6}:{(3,1),(4,1),(5,1),(13,1),(16,1),(17,1)}
         9:{2,3,5,6}:{(4,1),(16,1),(18,1),(19,1),(39,1)}
        10:{2,3,4,7}:{(4,1),(17,1),(19,1),(67,1)}
        11:{1,3,5,6}:{(5,1),(16,1),(20,1),(21,1),(39,1)}
        12:{1,3,4,7}:{(5,1),(17,1),(21,1),(67,1)}
        13:{1,2,3,6}:{(6,1),(8,1),(23,1)}
        14:{1,2,3,5}:{(7,1),(24,1)}
        15:{1,2,3,4,7}:{(7,1),(23,1),(25,1),(49,1),(103,1)}
        16:{1,2,5,6}:{(8,1),(9,1),(11,1),(27,1)}
        17:{1,2,4,7}:{(8,1),(10,1),(12,1),(23,1),(27,1)}
        18:{2,4,5,6}:{(9,1),(28,1),(29,1)}
        19:{2,3,5,7}:{(9,1),(10,1),(27,1),(29,1),(30,1),(57,1)}
        20:{1,4,5,6}:{(11,1),(31,1),(32,1)}
        21:{1,3,5,7}:{(11,1),(12,1),(27,1),(32,1),(33,1),(57,1)}
        22:{1,2,3,5,6}:{(13,1),(14,1),(16,1),(34,1),(35,1),(38,1),(39,1),(71,1),(72,1),(96,1)}
        23:{1,2,3,7}:{(13,1),(17,1)}
        24:{1,2,4,5}:{(14,1),(34,1),(36,1)}
        25:{1,2,3,5,7}:{(14,1),(15,1),(37,1),(38,1)}
        26:{1,2,4,5,6}:{(16,1),(18,1),(20,1),(34,1),(39,1),(40,1),(42,1),(45,1),(71,1),(72,1),(100,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(19,1),(21,1),(41,1)}
        28:{3,4,5,6}:{(18,1),(39,1),(42,1),(43,1),(100,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(43,1),(44,1)}
        30:{2,3,6,7}:{(19,1),(41,1),(44,1),(75,1)}
        31:{3,4,5,6}:{(20,1),(39,1),(45,1),(46,1),(100,1)}
        32:{1,4,5,7}:{(20,1),(21,1),(46,1),(47,1)}
        33:{1,3,6,7}:{(21,1),(41,1),(47,1),(75,1)}
        34:{1,2,4,6}:{(22,1),(24,1),(48,1),(49,1)}
        35:{1,2,3,5,7}:{(22,1),(23,1),(27,1),(49,1),(50,1),(57,1),(85,1),(88,1),(103,1)}
        36:{3,4,5}:{(24,1),(48,1)}
        37:{1,2,4,5,7}:{(24,1),(25,1),(49,1),(53,1),(54,1),(85,1)}
        38:{1,2,3,6}:{(25,1),(54,1)}
        39:{3,5,6}:{(26,1),(48,1),(57,1)}
        40:{1,2,4,5,7}:{(26,1),(27,1),(29,1),(32,1),(49,1),(57,1),(58,1),(59,1),(62,1),(85,1),(88,1),(104,1)}
        41:{1,2,6,7}:{(27,1),(30,1),(33,1)}
        42:{1,4,5,6}:{(28,1),(55,1),(59,1)}
        43:{3,4,5,7}:{(28,1),(29,1),(57,1),(59,1),(60,1),(104,1)}
        44:{2,4,6,7}:{(29,1),(30,1),(60,1),(61,1)}
        45:{2,4,5,6}:{(31,1),(56,1),(62,1)}
        46:{3,4,5,7}:{(31,1),(32,1),(57,1),(62,1),(63,1),(104,1)}
        47:{1,4,6,7}:{(32,1),(33,1),(63,1),(64,1)}
        48:{3,4,6}:{(34,1),(36,1),(39,1),(67,1)}
        49:{1,2,4,7}:{(34,1),(35,1),(67,1)}
        50:{1,2,3,6,7}:{(35,1),(38,1),(41,1),(68,1),(75,1),(101,1)}
        51:{1,3,4,5}:{(36,1),(65,1),(69,1)}
        52:{2,3,4,5}:{(36,1),(66,1),(69,1)}
        53:{3,4,5,7}:{(36,1),(37,1),(67,1),(70,1),(98,1)}
        54:{1,2,4,6}:{(37,1),(38,1),(70,1),(71,1)}
        55:{1,3,5,6}:{(39,1),(42,1),(65,1),(72,1),(73,1)}
        56:{2,3,5,6}:{(39,1),(45,1),(66,1),(72,1),(74,1)}
        57:{3,5,7}:{(39,1),(40,1),(67,1),(75,1)}
        58:{1,2,4,6,7}:{(40,1),(41,1),(44,1),(47,1),(75,1),(76,1),(77,1),(79,1),(101,1),(102,1)}
        59:{1,4,5,7}:{(42,1),(43,1),(73,1),(77,1)}
        60:{3,4,6,7}:{(43,1),(44,1),(75,1),(77,1),(78,1),(102,1)}
        61:{2,5,6,7}:{(44,1),(78,1)}
        62:{2,4,5,7}:{(45,1),(46,1),(74,1),(79,1)}
        63:{3,4,6,7}:{(46,1),(47,1),(75,1),(79,1),(80,1),(102,1)}
        64:{1,5,6,7}:{(47,1),(80,1)}
        65:{1,3,4,6}:{(48,1),(51,1),(55,1),(81,1),(82,1)}
        66:{2,3,4,6}:{(48,1),(52,1),(56,1),(81,1),(83,1)}
        67:{3,4,7}:{(48,1),(49,1),(57,1)}
        68:{1,2,4,6,7}:{(49,1),(50,1),(54,1),(84,1),(85,1)}
        69:{1,2,4,5}:{(51,1),(52,1),(81,1),(86,1)}
        70:{3,4,6}:{(53,1),(54,1),(87,1)}
        71:{1,2,5,6}:{(54,1),(85,1),(87,1)}
        72:{1,2,5,6}:{(55,1),(56,1),(81,1),(88,1)}
        73:{1,3,5,7}:{(55,1),(57,1),(59,1),(82,1),(88,1),(89,1)}
        74:{2,3,5,7}:{(56,1),(57,1),(62,1),(83,1),(88,1),(90,1)}
        75:{3,6,7}:{(57,1),(58,1)}
        76:{1,2,5,6,7}:{(58,1),(61,1),(64,1),(85,1),(91,1),(92,1),(94,1)}
        77:{1,4,6,7}:{(59,1),(60,1),(89,1),(92,1)}
        78:{3,5,6,7}:{(60,1),(61,1),(92,1),(93,1)}
        79:{2,4,6,7}:{(62,1),(63,1),(90,1),(94,1)}
        80:{3,5,6,7}:{(63,1),(64,1),(94,1),(95,1)}
        81:{1,2,4,6}:{(65,1),(66,1),(69,1),(72,1),(96,1),(97,1)}
        82:{1,3,4,7}:{(65,1),(67,1),(73,1),(97,1)}
        83:{2,3,4,7}:{(66,1),(67,1),(74,1),(97,1)}
        84:{3,4,6,7}:{(67,1),(68,1),(70,1),(75,1),(98,1),(102,1)}
        85:{1,2,5,7}:{(68,1),(71,1),(98,1)}
        86:{1,2,3,5}:{(69,1),(96,1),(99,1)}
        87:{3,5,6}:{(70,1),(71,1),(98,1),(100,1)}
        88:{1,2,5,7}:{(72,1),(73,1),(74,1),(97,1),(101,1)}
        89:{1,3,6,7}:{(73,1),(75,1),(77,1),(101,1)}
        90:{2,3,6,7}:{(74,1),(75,1),(79,1),(101,1)}
        91:{3,5,6,7}:{(75,1),(76,1),(98,1),(102,1)}
        92:{1,5,6,7}:{(77,1),(78,1)}
        93:{4,5,6,7}:{(78,1),(102,1)}
        94:{2,5,6,7}:{(79,1),(80,1)}
        95:{4,5,6,7}:{(80,1),(102,1)}
        96:{1,2,3,6}:{(81,1),(86,1),(103,1)}
        97:{1,2,4,7}:{(81,1),(82,1),(83,1),(88,1),(103,1)}
        98:{3,5,7}:{(84,1),(85,1),(87,1),(104,1)}
        99:{1,2,3,4}:{(86,1)}
       100:{4,5,6}:{(87,1),(104,1)}
       101:{1,2,6,7}:{(88,1),(89,1),(90,1)}
       102:{4,6,7}:{(91,1),(104,1)}
       103:{1,2,3,7}:{(96,1),(97,1)}
       104:{4,5,7}:{(98,1),(100,1),(102,1)}

1536 :   0:{4,5,6,7}:{(4,1),(76,1),(115,1)}
         1:{3,4,5,6}:{(5,1),(6,1),(7,1),(40,1),(85,1),(115,1),(119,1)}
         2:{1,3,4,5}:{(9,1),(12,1),(51,1),(85,1),(93,1)}
         3:{2,3,4,5}:{(10,1),(13,1),(50,1),(85,1),(92,1)}
         4:{3,5,6,7}:{(0,1),(14,1),(15,1),(16,1),(128,1)}
         5:{3,4,5,7}:{(1,1),(14,1),(17,1),(18,1),(58,1),(97,1)}
         6:{1,4,5,6}:{(1,1),(17,1),(19,1),(105,1),(132,1)}
         7:{2,4,5,6}:{(1,1),(18,1),(20,1),(104,1),(131,1)}
         8:{1,2,3,6,7}:{(24,1),(25,1),(94,1),(95,1),(109,1),(134,1)}
         9:{1,3,4,6}:{(2,1),(19,1),(22,1),(26,1),(62,1)}
        10:{2,3,4,6}:{(3,1),(20,1),(23,1),(27,1),(62,1)}
        11:{1,2,3,5,6}:{(24,1),(28,1),(60,1),(61,1),(67,1),(68,1),(71,1),(109,1),(110,1),(134,1)}
        12:{1,2,4,5}:{(2,1),(26,1),(29,1),(72,1),(104,1),(110,1)}
        13:{1,2,4,5}:{(3,1),(27,1),(30,1),(72,1),(105,1),(110,1)}
        14:{3,4,6,7}:{(4,1),(5,1),(31,1),(32,1),(75,1),(76,1),(119,1)}
        15:{1,5,6,7}:{(4,1),(31,1),(138,1)}
        16:{2,5,6,7}:{(4,1),(32,1),(137,1)}
        17:{1,4,5,7}:{(5,1),(6,1),(31,1),(34,1)}
        18:{2,4,5,7}:{(5,1),(7,1),(32,1),(35,1)}
        19:{1,3,5,6}:{(6,1),(9,1),(34,1),(38,1),(40,1),(93,1),(124,1)}
        20:{2,3,5,6}:{(7,1),(10,1),(35,1),(39,1),(40,1),(92,1),(123,1)}
        21:{1,2,4,5,6}:{(6,1),(7,1),(36,1),(38,1),(39,1),(40,1),(48,1),(83,1),(84,1),(90,1),(115,1),(121,1),(137,1),(138,1),(140,1)}
        22:{1,3,4,7}:{(9,1),(34,1),(41,1),(79,1)}
        23:{2,3,4,7}:{(10,1),(35,1),(42,1),(79,1)}
        24:{1,2,3,5,7}:{(8,1),(11,1),(43,1),(44,1),(77,1),(78,1),(86,1),(89,1),(122,1)}
        25:{1,2,4,6,7}:{(8,1),(37,1),(43,1),(44,1),(90,1),(112,1),(113,1)}
        26:{1,2,4,6}:{(9,1),(12,1),(38,1),(41,1),(45,1),(83,1)}
        27:{1,2,4,6}:{(10,1),(13,1),(39,1),(42,1),(46,1),(84,1)}
        28:{1,2,4,6}:{(11,1),(43,1),(47,1),(48,1),(83,1),(84,1)}
        29:{2,3,5}:{(12,1),(45,1),(50,1)}
        30:{1,3,5}:{(13,1),(46,1),(51,1)}
        31:{1,4,6,7}:{(14,1),(15,1),(17,1),(52,1),(132,1)}
        32:{2,4,6,7}:{(14,1),(16,1),(18,1),(53,1),(131,1)}
        33:{1,2,5,6,7}:{(15,1),(16,1),(54,1),(55,1),(67,1),(126,1),(127,1),(142,1)}
        34:{1,3,5,7}:{(17,1),(19,1),(22,1),(52,1),(56,1),(58,1)}
        35:{2,3,5,7}:{(18,1),(20,1),(23,1),(53,1),(57,1),(58,1)}
        36:{1,2,4,5,7}:{(17,1),(18,1),(21,1),(54,1),(56,1),(57,1),(58,1),(97,1),(99,1),(100,1),(126,1),(127,1)}
        37:{3,4,6,7}:{(25,1),(59,1),(65,1),(102,1),(109,1)}
        38:{1,2,5,6}:{(19,1),(26,1),(56,1),(60,1),(110,1),(134,1)}
        39:{1,2,5,6}:{(20,1),(27,1),(57,1),(61,1),(110,1),(134,1)}
        40:{3,5,6}:{(21,1),(58,1),(62,1),(71,1),(109,1),(133,1),(143,1)}
        41:{1,2,4,7}:{(22,1),(26,1),(56,1),(63,1),(99,1)}
        42:{1,2,4,7}:{(23,1),(27,1),(57,1),(64,1),(100,1)}
        43:{1,2,4,7}:{(24,1),(28,1),(65,1),(99,1),(100,1)}
        44:{1,2,5,7}:{(25,1),(59,1),(67,1),(126,1),(127,1)}
        45:{2,3,6}:{(26,1),(29,1),(63,1)}
        46:{1,3,6}:{(27,1),(30,1),(64,1)}
        47:{3,4,6}:{(28,1),(65,1),(71,1),(109,1)}
        48:{1,2,4,5}:{(28,1),(71,1),(104,1),(105,1),(110,1)}
        49:{1,2,3,5}:{(29,1),(30,1),(68,1),(72,1),(110,1)}
        50:{2,3,4}:{(29,1),(72,1)}
        51:{1,3,4}:{(30,1),(72,1)}
        52:{1,3,6,7}:{(31,1),(34,1),(73,1),(75,1),(124,1)}
        53:{2,3,6,7}:{(32,1),(35,1),(74,1),(75,1),(123,1)}
        54:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(36,1),(73,1),(74,1),(75,1),(76,1),(90,1),(112,1),(113,1),(140,1)}
        55:{3,5,6,7}:{(33,1),(75,1),(76,1),(81,1),(114,1),(145,1)}
        56:{1,2,5,7}:{(34,1),(38,1),(41,1),(73,1),(77,1)}
        57:{1,2,5,7}:{(35,1),(39,1),(42,1),(74,1),(78,1)}
        58:{3,5,7}:{(36,1),(40,1),(75,1),(79,1)}
        59:{3,5,7}:{(37,1),(44,1),(80,1),(81,1)}
        60:{2,3,5,6}:{(38,1),(40,1),(45,1),(77,1),(83,1),(92,1),(123,1),(137,1)}
        61:{1,3,5,6}:{(39,1),(40,1),(46,1),(78,1),(84,1),(93,1),(124,1),(138,1)}
        62:{3,4,6}:{(40,1),(79,1),(83,1),(84,1),(85,1)}
        63:{2,3,7}:{(41,1),(45,1)}
        64:{1,3,7}:{(42,1),(46,1)}
        65:{3,4,7}:{(43,1),(47,1),(89,1)}
        66:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(80,1),(89,1),(90,1),(117,1),(118,1),(122,1)}
        67:{1,2,5,6}:{(44,1),(81,1),(90,1),(137,1),(138,1)}
        68:{1,2,3,6}:{(45,1),(46,1),(49,1),(86,1),(91,1)}
        69:{2,3,4,6}:{(45,1),(47,1),(50,1),(83,1),(87,1),(91,1),(92,1),(120,1),(123,1)}
        70:{1,3,4,6}:{(46,1),(47,1),(51,1),(84,1),(88,1),(91,1),(93,1),(120,1),(124,1)}
        71:{3,5}:{(47,1),(48,1)}
        72:{1,2,4}:{(49,1),(50,1),(51,1)}
        73:{1,2,6,7}:{(52,1),(56,1),(94,1),(134,1)}
        74:{1,2,6,7}:{(53,1),(57,1),(95,1),(134,1)}
        75:{3,6,7}:{(54,1),(58,1),(109,1),(143,1)}
        76:{4,6,7}:{(55,1),(97,1),(102,1),(146,1)}
        77:{2,3,5,7}:{(56,1),(58,1),(60,1),(63,1),(94,1),(99,1),(126,1)}
        78:{1,3,5,7}:{(57,1),(58,1),(61,1),(64,1),(95,1),(100,1),(127,1)}
        79:{3,4,7}:{(58,1),(62,1),(99,1),(100,1)}
        80:{4,5,7}:{(59,1),(102,1)}
        81:{3,5,6}:{(59,1),(67,1),(102,1),(109,1)}
        82:{1,2,3,5,6}:{(60,1),(61,1),(68,1),(98,1),(103,1),(110,1),(133,1),(134,1),(142,1),(143,1)}
        83:{2,4,6}:{(60,1),(62,1),(99,1),(104,1)}
        84:{1,4,6}:{(61,1),(62,1),(100,1),(105,1)}
        85:{3,4,5}:{(62,1),(71,1),(104,1),(105,1),(133,1)}
        86:{1,2,3,7}:{(63,1),(64,1),(68,1),(106,1)}
        87:{2,3,4,7}:{(63,1),(65,1),(69,1),(99,1),(106,1),(107,1),(129,1)}
        88:{1,3,4,7}:{(64,1),(65,1),(70,1),(100,1),(106,1),(108,1),(129,1)}
        89:{3,5,7}:{(65,1),(66,1),(71,1),(109,1)}
        90:{1,2,4,6}:{(66,1),(67,1),(102,1),(109,1),(131,1),(132,1),(134,1)}
        91:{1,2,4,6}:{(68,1),(69,1),(70,1),(72,1),(106,1),(110,1),(134,1)}
        92:{2,3,5}:{(69,1),(71,1),(104,1),(110,1),(133,1)}
        93:{1,3,5}:{(70,1),(71,1),(105,1),(110,1),(133,1)}
        94:{2,3,6,7}:{(73,1),(75,1),(77,1),(112,1),(123,1)}
        95:{1,3,6,7}:{(74,1),(75,1),(78,1),(113,1),(124,1)}
        96:{3,4,6,7}:{(75,1),(76,1),(79,1),(112,1),(113,1),(114,1),(119,1)}
        97:{4,5,7}:{(76,1),(114,1),(115,1)}
        98:{1,2,3,5,7}:{(77,1),(78,1),(82,1),(86,1),(111,1),(116,1),(122,1),(136,1),(139,1)}
        99:{2,4,7}:{(77,1),(79,1),(83,1)}
       100:{1,4,7}:{(78,1),(79,1),(84,1)}
       101:{3,4,5,7}:{(79,1),(80,1),(85,1),(89,1),(114,1),(117,1),(118,1),(119,1),(139,1),(144,1)}
       102:{4,6}:{(80,1),(81,1)}
       103:{1,2,4,6}:{(82,1),(83,1),(84,1),(116,1),(120,1),(121,1)}
       104:{2,4,5}:{(83,1),(85,1),(92,1)}
       105:{1,4,5}:{(84,1),(85,1),(93,1)}
       106:{1,2,4,7}:{(86,1),(87,1),(88,1),(91,1),(122,1)}
       107:{2,3,5,7}:{(87,1),(89,1),(92,1),(117,1),(122,1),(123,1),(139,1)}
       108:{1,3,5,7}:{(88,1),(89,1),(93,1),(118,1),(122,1),(124,1),(139,1)}
       109:{3,6}:{(89,1),(90,1)}
       110:{1,2,5}:{(91,1),(92,1),(93,1)}
       111:{1,2,3,6,7}:{(94,1),(95,1),(98,1),(125,1),(134,1),(143,1)}
       112:{2,4,6,7}:{(94,1),(96,1),(99,1),(126,1),(131,1)}
       113:{1,4,6,7}:{(95,1),(96,1),(100,1),(127,1),(132,1)}
       114:{3,5,7}:{(96,1),(97,1),(126,1),(127,1),(128,1)}
       115:{4,5,6}:{(97,1),(102,1),(128,1),(146,1)}
       116:{1,2,4,7}:{(98,1),(99,1),(100,1),(103,1),(129,1)}
       117:{2,4,5,7}:{(99,1),(101,1),(104,1),(107,1),(126,1),(131,1)}
       118:{1,4,5,7}:{(100,1),(101,1),(105,1),(108,1),(127,1),(132,1)}
       119:{3,4,6}:{(101,1),(102,1),(109,1),(128,1),(131,1),(132,1),(143,1),(146,1)}
       120:{3,4,6}:{(103,1),(129,1),(133,1),(143,1)}
       121:{1,2,4,5}:{(103,1),(104,1),(105,1),(110,1),(133,1)}
       122:{1,2,5,7}:{(106,1),(107,1),(108,1),(110,1),(134,1)}
       123:{2,3,6}:{(107,1),(109,1),(131,1),(134,1),(143,1)}
       124:{1,3,6}:{(108,1),(109,1),(132,1),(134,1),(143,1)}
       125:{1,2,4,6,7}:{(111,1),(112,1),(113,1),(116,1),(135,1),(136,1),(140,1)}
       126:{2,5,7}:{(112,1),(114,1),(137,1)}
       127:{1,5,7}:{(113,1),(114,1),(138,1)}
       128:{3,5,6}:{(114,1),(115,1),(119,1),(137,1),(138,1)}
       129:{3,4,7}:{(116,1),(120,1),(139,1)}
       130:{1,2,4,5,7}:{(116,1),(117,1),(118,1),(121,1),(122,1),(136,1),(139,1),(140,1),(144,1)}
       131:{2,4,6}:{(117,1),(119,1),(123,1),(137,1)}
       132:{1,4,6}:{(118,1),(119,1),(124,1),(138,1)}
       133:{3,5}:{(120,1),(121,1)}
       134:{1,2,6}:{(122,1),(123,1),(124,1)}
       135:{3,4,6,7}:{(125,1),(129,1),(141,1),(143,1),(146,1)}
       136:{1,2,5,7}:{(125,1),(126,1),(127,1),(141,1),(142,1)}
       137:{2,5,6}:{(126,1),(128,1),(131,1)}
       138:{1,5,6}:{(127,1),(128,1),(132,1)}
       139:{3,5,7}:{(129,1),(130,1),(133,1),(143,1)}
       140:{1,2,4,6}:{(130,1),(131,1),(132,1),(134,1),(142,1),(143,1),(146,1)}
       141:{3,5,7}:{(135,1),(136,1),(144,1),(145,1)}
       142:{1,2,5,6}:{(136,1),(137,1),(138,1),(140,1),(145,1)}
       143:{3,6}:{(139,1),(140,1)}
       144:{4,5,7}:{(141,1),(146,1)}
       145:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

1537 :   0:{1,2,3,6,7}:{(3,1),(4,1),(47,1),(48,1),(57,1),(88,1)}
         1:{1,2,3,5,6}:{(4,1),(5,1),(19,1),(20,1),(21,1),(24,1),(57,1),(61,1),(62,1),(88,1)}
         2:{1,2,4,5,6}:{(8,1),(9,1),(12,1),(35,1),(36,1),(37,1),(38,1),(63,1),(91,1),(92,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(10,1),(11,1),(38,1),(65,1),(66,1)}
         4:{1,2,3,5,7}:{(0,1),(1,1),(10,1),(11,1),(32,1),(33,1),(39,1),(76,1),(77,1)}
         5:{1,2,4,6}:{(1,1),(11,1),(12,1),(13,1),(35,1),(36,1)}
         6:{1,2,5,6,7}:{(14,1),(15,1),(21,1),(80,1),(81,1)}
         7:{3,4,6,7}:{(3,1),(16,1),(23,1),(49,1),(57,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(17,1),(45,1),(51,1),(52,1),(53,1),(80,1),(81,1)}
         9:{3,5,6}:{(2,1),(17,1),(18,1),(24,1),(57,1)}
        10:{1,2,5,7}:{(3,1),(16,1),(21,1),(80,1),(81,1)}
        11:{1,2,4,7}:{(4,1),(5,1),(23,1),(51,1),(52,1)}
        12:{1,2,4,5}:{(5,1),(24,1),(54,1),(55,1),(61,1)}
        13:{3,4,6}:{(5,1),(23,1),(24,1),(57,1)}
        14:{3,5,6,7}:{(6,1),(27,1),(28,1),(29,1),(64,1)}
        15:{1,2,4,6,7}:{(6,1),(8,1),(27,1),(28,1),(38,1),(65,1),(66,1),(67,1)}
        16:{3,5,7}:{(7,1),(10,1),(29,1),(30,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(31,1)}
        18:{3,4,6}:{(9,1),(31,1),(34,1),(35,1),(36,1),(73,1)}
        19:{1,3,5,6}:{(9,1),(32,1),(35,1),(37,1),(42,1),(73,1),(74,1),(91,1),(105,1)}
        20:{2,3,5,6}:{(9,1),(33,1),(36,1),(37,1),(43,1),(73,1),(75,1),(92,1),(105,1)}
        21:{1,2,5,6}:{(10,1),(29,1),(38,1),(91,1),(92,1)}
        22:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(30,1),(38,1),(39,1),(69,1),(70,1),(76,1)}
        23:{3,4,7}:{(11,1),(13,1),(39,1)}
        24:{3,5}:{(12,1),(13,1)}
        25:{1,3,4,6}:{(13,1),(35,1),(40,1),(42,1),(44,1),(73,1),(74,1),(97,1),(107,1)}
        26:{2,3,4,6}:{(13,1),(36,1),(41,1),(43,1),(44,1),(73,1),(75,1),(97,1),(107,1)}
        27:{4,6,7}:{(14,1),(45,1),(49,1)}
        28:{3,6,7}:{(15,1),(17,1),(57,1)}
        29:{3,5,6}:{(16,1),(21,1),(49,1),(57,1)}
        30:{4,5,7}:{(16,1),(49,1)}
        31:{3,4,7}:{(17,1),(18,1),(51,1),(52,1),(86,1)}
        32:{1,3,5,7}:{(17,1),(19,1),(47,1),(51,1),(53,1),(80,1),(86,1),(101,1)}
        33:{2,3,5,7}:{(17,1),(20,1),(48,1),(52,1),(53,1),(81,1),(86,1),(101,1)}
        34:{3,4,5}:{(18,1),(24,1),(54,1),(55,1),(87,1)}
        35:{1,4,6}:{(18,1),(19,1),(51,1),(54,1),(109,1)}
        36:{2,4,6}:{(18,1),(20,1),(52,1),(55,1),(109,1)}
        37:{1,2,5,6}:{(19,1),(20,1),(53,1),(56,1),(61,1),(88,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(49,1),(57,1),(83,1),(84,1),(88,1)}
        39:{3,5,7}:{(22,1),(23,1),(24,1),(57,1)}
        40:{1,3,4,7}:{(23,1),(25,1),(51,1),(58,1),(60,1),(86,1),(103,1)}
        41:{2,3,4,7}:{(23,1),(26,1),(52,1),(59,1),(60,1),(86,1),(103,1)}
        42:{1,3,5}:{(24,1),(25,1),(54,1),(61,1),(87,1),(110,1)}
        43:{2,3,5}:{(24,1),(26,1),(55,1),(61,1),(87,1),(110,1)}
        44:{1,2,4,6}:{(25,1),(26,1),(60,1),(61,1),(62,1),(88,1),(90,1)}
        45:{4,5,7}:{(27,1),(63,1),(64,1),(106,1)}
        46:{3,4,6,7}:{(27,1),(28,1),(31,1),(64,1),(65,1),(66,1),(68,1),(94,1),(106,1)}
        47:{1,3,6,7}:{(28,1),(32,1),(65,1),(67,1),(74,1),(94,1)}
        48:{2,3,6,7}:{(28,1),(33,1),(66,1),(67,1),(75,1),(94,1)}
        49:{4,6}:{(29,1),(30,1)}
        50:{3,4,5,7}:{(30,1),(31,1),(34,1),(39,1),(64,1),(68,1),(69,1),(70,1),(96,1),(106,1),(111,1)}
        51:{1,4,7}:{(31,1),(32,1),(35,1),(106,1)}
        52:{2,4,7}:{(31,1),(33,1),(36,1),(106,1)}
        53:{1,2,5,7}:{(32,1),(33,1),(37,1),(67,1),(71,1)}
        54:{1,4,5}:{(34,1),(35,1),(42,1),(111,1)}
        55:{2,4,5}:{(34,1),(36,1),(43,1),(111,1)}
        56:{1,2,4,6}:{(35,1),(36,1),(37,1),(71,1),(72,1),(73,1)}
        57:{3,6}:{(38,1),(39,1)}
        58:{1,3,5,7}:{(39,1),(40,1),(42,1),(69,1),(74,1),(76,1),(96,1)}
        59:{2,3,5,7}:{(39,1),(41,1),(43,1),(70,1),(75,1),(76,1),(96,1)}
        60:{1,2,4,7}:{(40,1),(41,1),(44,1),(76,1),(77,1)}
        61:{1,2,5}:{(42,1),(43,1),(44,1)}
        62:{1,2,3,6}:{(44,1),(73,1),(77,1),(78,1)}
        63:{4,5,6}:{(45,1),(49,1),(79,1),(109,1)}
        64:{3,5,7}:{(45,1),(46,1),(79,1),(80,1),(81,1)}
        65:{1,4,6,7}:{(46,1),(47,1),(51,1),(80,1),(83,1)}
        66:{2,4,6,7}:{(46,1),(48,1),(52,1),(81,1),(84,1)}
        67:{1,2,6,7}:{(47,1),(48,1),(53,1),(88,1)}
        68:{3,4,6}:{(49,1),(50,1),(57,1),(79,1),(83,1),(84,1),(102,1),(109,1)}
        69:{1,4,5,7}:{(50,1),(51,1),(54,1),(58,1),(80,1),(83,1)}
        70:{2,4,5,7}:{(50,1),(52,1),(55,1),(59,1),(81,1),(84,1)}
        71:{1,2,4,7}:{(51,1),(52,1),(53,1),(56,1),(86,1)}
        72:{1,2,4,5}:{(54,1),(55,1),(56,1),(61,1),(87,1),(90,1)}
        73:{3,6}:{(56,1),(86,1),(87,1)}
        74:{1,3,6}:{(57,1),(58,1),(83,1),(88,1),(102,1)}
        75:{2,3,6}:{(57,1),(59,1),(84,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(58,1),(59,1),(60,1),(61,1),(88,1)}
        77:{1,2,3,7}:{(60,1),(62,1),(86,1)}
        78:{1,2,3,5}:{(61,1),(62,1),(87,1),(90,1)}
        79:{3,5,6}:{(63,1),(64,1),(68,1),(91,1),(92,1)}
        80:{1,5,7}:{(64,1),(65,1),(91,1)}
        81:{2,5,7}:{(64,1),(66,1),(92,1)}
        82:{1,2,4,6,7}:{(65,1),(66,1),(67,1),(71,1),(93,1),(94,1),(95,1),(106,1)}
        83:{1,4,6}:{(68,1),(69,1),(74,1),(91,1)}
        84:{2,4,6}:{(68,1),(70,1),(75,1),(92,1)}
        85:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(72,1),(76,1),(93,1),(95,1),(96,1),(99,1),(106,1),(108,1),(111,1)}
        86:{3,7}:{(71,1),(73,1)}
        87:{3,5}:{(72,1),(73,1),(97,1)}
        88:{1,2,6}:{(74,1),(75,1),(76,1)}
        89:{1,2,3,5,7}:{(76,1),(77,1),(78,1),(96,1),(98,1),(99,1),(108,1)}
        90:{1,2,4}:{(78,1),(97,1)}
        91:{1,5,6}:{(79,1),(80,1),(83,1)}
        92:{2,5,6}:{(79,1),(81,1),(84,1)}
        93:{1,2,5,7}:{(80,1),(81,1),(82,1),(100,1),(101,1)}
        94:{3,6,7}:{(82,1),(86,1),(101,1),(102,1)}
        95:{1,2,4,6}:{(83,1),(84,1),(85,1),(88,1),(100,1),(102,1),(109,1)}
        96:{3,5,7}:{(85,1),(86,1),(87,1),(102,1),(103,1),(110,1)}
        97:{3,4}:{(87,1),(90,1)}
        98:{1,2,3,6}:{(88,1),(89,1),(102,1),(104,1)}
        99:{1,2,4,7}:{(89,1),(90,1),(103,1),(104,1)}
       100:{1,2,5,6}:{(91,1),(92,1),(93,1),(95,1),(105,1),(108,1)}
       101:{3,5,7}:{(93,1),(94,1),(105,1),(106,1)}
       102:{3,6}:{(95,1),(96,1)}
       103:{3,4,7}:{(96,1),(97,1),(99,1),(106,1),(107,1)}
       104:{1,2,4,6}:{(98,1),(99,1),(107,1),(108,1)}
       105:{3,5,6}:{(100,1),(101,1),(102,1),(109,1),(110,1)}
       106:{4,7}:{(101,1),(109,1)}
       107:{3,4,6}:{(102,1),(103,1),(104,1),(109,1),(110,1)}
       108:{1,2,5}:{(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5}:{(107,1),(108,1),(111,1)}
       111:{4,5}:{(109,1),(110,1)}

1538 :   0:{1,3,4,5,7}:{(2,1),(3,1),(21,1),(36,1),(87,1),(129,1),(134,1),(143,1),(180,1),(182,1)}
         1:{2,3,4,5,7}:{(4,1),(5,1),(24,1),(31,1),(83,1),(130,1),(133,1),(145,1),(180,1),(184,1)}
         2:{1,3,4,6}:{(0,1),(11,1),(12,1),(113,1),(162,1),(199,1),(200,1)}
         3:{1,2,4,5,7}:{(0,1),(12,1),(13,1),(45,1),(52,1),(100,1),(111,1),(114,1)}
         4:{2,3,4,6}:{(1,1),(15,1),(16,1),(116,1),(159,1),(199,1),(201,1)}
         5:{1,2,4,5,7}:{(1,1),(16,1),(17,1),(49,1),(52,1),(104,1),(111,1),(117,1)}
         6:{1,4,5,6,7}:{(18,1),(61,1),(176,1)}
         7:{2,4,5,6,7}:{(19,1),(65,1),(173,1)}
         8:{1,3,4,6,7}:{(2,1),(21,1),(22,1),(61,1),(119,1),(129,1),(171,1)}
         9:{2,3,4,6,7}:{(4,1),(24,1),(25,1),(65,1),(122,1),(133,1),(174,1)}
        10:{3,4,5,6}:{(20,1),(27,1),(28,1),(81,1),(145,1),(185,1)}
        11:{1,3,5,6}:{(2,1),(21,1),(27,1),(29,1),(81,1),(87,1),(204,1)}
        12:{1,2,4,6}:{(2,1),(3,1),(29,1),(30,1),(82,1)}
        13:{2,3,5,7}:{(3,1),(30,1),(31,1),(83,1),(180,1)}
        14:{3,4,5,6}:{(23,1),(32,1),(33,1),(85,1),(143,1),(183,1)}
        15:{2,3,5,6}:{(4,1),(24,1),(33,1),(34,1),(83,1),(85,1),(205,1)}
        16:{1,2,4,6}:{(4,1),(5,1),(34,1),(35,1),(86,1)}
        17:{1,3,5,7}:{(5,1),(35,1),(36,1),(87,1),(180,1)}
        18:{3,5,6,7}:{(6,1),(37,1),(39,1),(195,1)}
        19:{3,5,6,7}:{(7,1),(40,1),(41,1),(193,1)}
        20:{3,4,5,7}:{(10,1),(37,1),(43,1),(44,1),(99,1)}
        21:{1,3,5,7}:{(8,1),(11,1),(43,1),(45,1),(99,1),(192,1)}
        22:{1,2,4,6,7}:{(8,1),(12,1),(45,1),(46,1),(100,1)}
        23:{3,4,5,7}:{(14,1),(40,1),(47,1),(48,1),(103,1)}
        24:{2,3,5,7}:{(9,1),(15,1),(48,1),(49,1),(103,1),(194,1)}
        25:{1,2,4,6,7}:{(9,1),(16,1),(49,1),(50,1),(104,1)}
        26:{1,2,3,5,7}:{(13,1),(17,1),(51,1),(52,1),(111,1)}
        27:{1,4,5,6}:{(10,1),(11,1),(43,1),(117,1),(162,1)}
        28:{2,4,5,6}:{(10,1),(44,1),(53,1),(170,1),(201,1)}
        29:{1,2,5,6}:{(11,1),(12,1),(45,1),(55,1),(111,1)}
        30:{2,3,6}:{(12,1),(13,1),(199,1)}
        31:{2,3,4,7}:{(13,1),(52,1),(56,1),(100,1),(154,1)}
        32:{1,4,5,6}:{(14,1),(47,1),(57,1),(169,1),(200,1)}
        33:{2,4,5,6}:{(14,1),(15,1),(48,1),(114,1),(159,1)}
        34:{1,2,5,6}:{(15,1),(16,1),(49,1),(59,1),(111,1)}
        35:{1,3,6}:{(16,1),(17,1),(199,1)}
        36:{1,3,4,7}:{(17,1),(52,1),(60,1),(104,1),(154,1)}
        37:{3,4,6,7}:{(18,1),(20,1),(61,1),(62,1),(119,1),(185,1)}
        38:{1,3,5,6,7}:{(18,1),(21,1),(61,1),(63,1),(119,1),(135,1)}
        39:{2,5,6,7}:{(18,1),(62,1),(205,1)}
        40:{3,4,6,7}:{(19,1),(23,1),(64,1),(65,1),(122,1),(183,1)}
        41:{1,5,6,7}:{(19,1),(64,1),(204,1)}
        42:{2,3,5,6,7}:{(19,1),(24,1),(65,1),(66,1),(122,1),(131,1)}
        43:{1,4,5,7}:{(20,1),(21,1),(27,1),(61,1)}
        44:{2,4,5,7}:{(20,1),(28,1),(62,1),(68,1)}
        45:{1,2,5,7}:{(21,1),(22,1),(29,1),(70,1)}
        46:{2,3,6,7}:{(22,1),(30,1),(70,1),(119,1)}
        47:{1,4,5,7}:{(23,1),(32,1),(64,1),(72,1)}
        48:{2,4,5,7}:{(23,1),(24,1),(33,1),(65,1)}
        49:{1,2,5,7}:{(24,1),(25,1),(34,1),(74,1)}
        50:{1,3,6,7}:{(25,1),(35,1),(74,1),(122,1)}
        51:{1,2,3,6}:{(26,1),(30,1),(35,1),(79,1)}
        52:{1,2,4,7}:{(26,1),(31,1),(36,1),(79,1)}
        53:{2,3,5,6}:{(28,1),(68,1),(77,1),(80,1),(81,1),(190,1),(207,1)}
        54:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(69,1),(80,1),(81,1),(82,1),(141,1),(142,1),(173,1),(181,1),(204,1)}
        55:{2,3,5,6}:{(29,1),(30,1),(70,1),(81,1),(82,1),(83,1)}
        56:{2,3,4,6}:{(30,1),(31,1),(79,1),(82,1),(83,1),(140,1)}
        57:{1,3,5,6}:{(32,1),(72,1),(76,1),(84,1),(85,1),(191,1),(208,1)}
        58:{1,2,4,5,6}:{(32,1),(33,1),(34,1),(73,1),(84,1),(85,1),(86,1),(141,1),(144,1),(176,1),(181,1),(205,1)}
        59:{1,3,5,6}:{(34,1),(35,1),(74,1),(85,1),(86,1),(87,1)}
        60:{1,3,4,6}:{(35,1),(36,1),(79,1),(86,1),(87,1),(140,1)}
        61:{1,4,6,7}:{(37,1),(38,1),(43,1),(162,1)}
        62:{2,4,6,7}:{(37,1),(39,1),(44,1),(88,1),(201,1)}
        63:{1,2,5,6,7}:{(38,1),(39,1),(45,1),(89,1),(90,1),(156,1),(192,1)}
        64:{1,4,6,7}:{(40,1),(41,1),(47,1),(91,1),(200,1)}
        65:{2,4,6,7}:{(40,1),(42,1),(48,1),(159,1)}
        66:{1,2,5,6,7}:{(41,1),(42,1),(49,1),(92,1),(93,1),(156,1),(194,1)}
        67:{1,2,3,6,7}:{(46,1),(50,1),(51,1),(96,1),(97,1),(146,1),(149,1),(199,1),(209,1)}
        68:{2,3,5,7}:{(44,1),(53,1),(88,1),(95,1),(98,1),(99,1)}
        69:{1,2,4,5,7}:{(43,1),(44,1),(45,1),(54,1),(89,1),(98,1),(99,1),(100,1),(148,1),(157,1),(192,1)}
        70:{2,3,5,7}:{(45,1),(46,1),(55,1),(99,1),(100,1)}
        71:{2,3,4,6,7}:{(46,1),(56,1),(97,1),(100,1),(101,1),(147,1),(154,1),(159,1),(199,1)}
        72:{1,3,5,7}:{(47,1),(57,1),(91,1),(94,1),(102,1),(103,1)}
        73:{1,2,4,5,7}:{(47,1),(48,1),(49,1),(58,1),(92,1),(102,1),(103,1),(104,1),(151,1),(160,1),(194,1)}
        74:{1,3,5,7}:{(49,1),(50,1),(59,1),(103,1),(104,1)}
        75:{1,3,4,6,7}:{(50,1),(60,1),(97,1),(104,1),(105,1),(150,1),(154,1),(162,1),(199,1)}
        76:{1,3,4,6}:{(57,1),(94,1),(106,1),(108,1),(116,1)}
        77:{2,3,4,6}:{(53,1),(95,1),(107,1),(109,1),(113,1)}
        78:{1,2,3,5,6}:{(51,1),(55,1),(59,1),(96,1),(110,1),(111,1),(112,1),(115,1),(156,1),(165,1),(168,1),(199,1),(203,1),(209,1)}
        79:{1,2,4,6}:{(51,1),(52,1),(56,1),(60,1),(111,1)}
        80:{1,2,5,6}:{(53,1),(98,1),(109,1),(112,1),(203,1),(209,1)}
        81:{3,5,6}:{(54,1),(99,1),(113,1),(168,1),(199,1)}
        82:{2,4,6}:{(55,1),(100,1),(113,1),(114,1)}
        83:{2,3,5}:{(56,1),(111,1),(114,1),(168,1)}
        84:{1,2,5,6}:{(57,1),(102,1),(108,1),(115,1),(203,1),(209,1)}
        85:{3,5,6}:{(58,1),(103,1),(116,1),(168,1),(199,1)}
        86:{1,4,6}:{(59,1),(104,1),(116,1),(117,1)}
        87:{1,3,5}:{(60,1),(111,1),(117,1),(168,1)}
        88:{2,3,6,7}:{(62,1),(68,1),(118,1),(119,1),(207,1)}
        89:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(69,1),(118,1),(119,1),(120,1),(171,1),(181,1)}
        90:{2,3,5,6,7}:{(63,1),(70,1),(119,1),(120,1),(131,1),(172,1)}
        91:{1,3,6,7}:{(64,1),(72,1),(121,1),(122,1),(208,1)}
        92:{1,2,4,6,7}:{(64,1),(65,1),(66,1),(73,1),(121,1),(122,1),(123,1),(174,1),(181,1)}
        93:{1,3,5,6,7}:{(66,1),(74,1),(122,1),(123,1),(135,1),(175,1)}
        94:{1,3,4,7}:{(72,1),(76,1),(124,1),(133,1)}
        95:{2,3,4,7}:{(68,1),(77,1),(125,1),(129,1)}
        96:{1,2,3,5,7}:{(67,1),(70,1),(74,1),(78,1),(126,1),(127,1),(128,1),(132,1),(177,1),(180,1),(206,1)}
        97:{1,2,4,6,7}:{(67,1),(71,1),(75,1),(79,1),(126,1),(127,1),(171,1),(174,1),(181,1)}
        98:{1,2,5,7}:{(68,1),(80,1),(118,1),(125,1),(128,1)}
        99:{3,5,7}:{(69,1),(81,1),(119,1),(129,1)}
       100:{2,4,7}:{(70,1),(82,1),(129,1)}
       101:{2,3,5,7}:{(71,1),(83,1),(127,1),(130,1),(131,1),(172,1),(180,1)}
       102:{1,2,5,7}:{(72,1),(84,1),(121,1),(124,1),(132,1)}
       103:{3,5,7}:{(73,1),(85,1),(122,1),(133,1)}
       104:{1,4,7}:{(74,1),(86,1),(133,1)}
       105:{1,3,5,7}:{(75,1),(87,1),(127,1),(134,1),(135,1),(175,1),(180,1)}
       106:{1,3,4,5}:{(76,1),(136,1),(145,1),(188,1),(191,1)}
       107:{2,3,4,5}:{(77,1),(137,1),(143,1),(187,1),(190,1)}
       108:{1,2,4,6}:{(76,1),(84,1),(124,1),(136,1),(138,1),(144,1)}
       109:{1,2,4,6}:{(77,1),(80,1),(125,1),(137,1),(139,1),(142,1)}
       110:{1,2,4,6}:{(78,1),(82,1),(86,1),(126,1),(140,1),(141,1),(142,1),(144,1)}
       111:{1,2,5}:{(79,1),(83,1),(87,1)}
       112:{1,3,5,6}:{(80,1),(81,1),(128,1),(139,1),(142,1),(191,1),(204,1),(208,1)}
       113:{3,4,6}:{(81,1),(82,1),(129,1),(142,1),(143,1)}
       114:{2,4,5}:{(82,1),(83,1),(143,1)}
       115:{2,3,5,6}:{(84,1),(85,1),(132,1),(138,1),(144,1),(190,1),(205,1),(207,1)}
       116:{3,4,6}:{(85,1),(86,1),(133,1),(144,1),(145,1)}
       117:{1,4,5}:{(86,1),(87,1),(145,1)}
       118:{1,2,6,7}:{(88,1),(98,1),(146,1),(209,1)}
       119:{3,6,7}:{(89,1),(99,1),(199,1)}
       120:{2,4,6,7}:{(90,1),(100,1),(147,1),(148,1),(159,1)}
       121:{1,2,6,7}:{(91,1),(102,1),(149,1),(209,1)}
       122:{3,6,7}:{(92,1),(103,1),(199,1)}
       123:{1,4,6,7}:{(93,1),(104,1),(150,1),(151,1),(162,1)}
       124:{1,2,4,7}:{(94,1),(102,1),(108,1),(152,1),(160,1)}
       125:{1,2,4,7}:{(95,1),(98,1),(109,1),(153,1),(157,1)}
       126:{1,2,4,7}:{(96,1),(100,1),(104,1),(110,1),(154,1),(157,1),(160,1)}
       127:{1,2,5,7}:{(97,1),(101,1),(105,1),(111,1),(156,1),(192,1),(194,1)}
       128:{1,3,5,7}:{(98,1),(99,1),(112,1),(146,1),(153,1),(157,1),(192,1)}
       129:{3,4,7}:{(99,1),(100,1),(113,1),(157,1)}
       130:{2,4,5,7}:{(100,1),(101,1),(114,1),(158,1),(159,1)}
       131:{2,3,5,6}:{(101,1),(156,1),(159,1),(193,1),(199,1)}
       132:{2,3,5,7}:{(102,1),(103,1),(115,1),(149,1),(152,1),(160,1),(194,1)}
       133:{3,4,7}:{(103,1),(104,1),(116,1),(160,1)}
       134:{1,4,5,7}:{(104,1),(105,1),(117,1),(161,1),(162,1)}
       135:{1,3,5,6}:{(105,1),(156,1),(162,1),(195,1),(199,1)}
       136:{1,2,4,5}:{(106,1),(108,1),(163,1),(170,1),(202,1),(203,1)}
       137:{1,2,4,5}:{(107,1),(109,1),(164,1),(169,1),(202,1),(203,1)}
       138:{2,3,6}:{(108,1),(152,1),(163,1)}
       139:{1,3,6}:{(109,1),(153,1),(164,1)}
       140:{3,4,6}:{(110,1),(154,1),(168,1),(199,1)}
       141:{1,2,4,5}:{(110,1),(111,1),(114,1),(117,1),(168,1),(169,1),(170,1),(203,1)}
       142:{1,4,6}:{(112,1),(113,1),(157,1),(169,1)}
       143:{3,4,5}:{(113,1),(114,1),(168,1),(169,1)}
       144:{2,4,6}:{(115,1),(116,1),(160,1),(170,1)}
       145:{3,4,5}:{(116,1),(117,1),(168,1),(170,1)}
       146:{1,3,6,7}:{(118,1),(119,1),(128,1),(171,1),(208,1)}
       147:{3,4,6,7}:{(119,1),(120,1),(129,1),(171,1),(172,1),(183,1)}
       148:{2,4,5,7}:{(120,1),(172,1),(173,1)}
       149:{2,3,6,7}:{(121,1),(122,1),(132,1),(174,1),(207,1)}
       150:{3,4,6,7}:{(122,1),(123,1),(133,1),(174,1),(175,1),(185,1)}
       151:{1,4,5,7}:{(123,1),(175,1),(176,1)}
       152:{2,3,7}:{(124,1),(138,1)}
       153:{1,3,7}:{(125,1),(139,1)}
       154:{3,4,7}:{(126,1),(140,1),(180,1)}
       155:{1,2,4,5,7}:{(126,1),(127,1),(130,1),(134,1),(141,1),(180,1),(181,1),(182,1),(184,1),(206,1)}
       156:{1,2,5,6}:{(127,1),(131,1),(135,1),(181,1),(204,1),(205,1)}
       157:{1,4,7}:{(128,1),(129,1),(142,1)}
       158:{3,4,5,7}:{(129,1),(130,1),(143,1),(172,1),(180,1),(182,1),(183,1)}
       159:{2,4,6}:{(130,1),(131,1),(183,1)}
       160:{2,4,7}:{(132,1),(133,1),(144,1)}
       161:{3,4,5,7}:{(133,1),(134,1),(145,1),(175,1),(180,1),(184,1),(185,1)}
       162:{1,4,6}:{(134,1),(135,1),(185,1)}
       163:{2,3,5}:{(136,1),(138,1),(187,1)}
       164:{1,3,5}:{(137,1),(139,1),(188,1)}
       165:{1,2,3,6}:{(138,1),(139,1),(177,1),(186,1),(189,1)}
       166:{2,3,4,6}:{(138,1),(140,1),(144,1),(178,1),(187,1),(189,1),(190,1),(207,1)}
       167:{1,3,4,6}:{(139,1),(140,1),(142,1),(179,1),(188,1),(189,1),(191,1),(208,1)}
       168:{3,5}:{(140,1),(141,1)}
       169:{1,4,5}:{(142,1),(143,1),(191,1)}
       170:{2,4,5}:{(144,1),(145,1),(190,1)}
       171:{1,4,6,7}:{(146,1),(147,1),(157,1),(192,1),(200,1)}
       172:{3,5,7}:{(147,1),(148,1),(192,1),(193,1)}
       173:{2,4,5,6}:{(148,1),(159,1),(193,1)}
       174:{2,4,6,7}:{(149,1),(150,1),(160,1),(194,1),(201,1)}
       175:{3,5,7}:{(150,1),(151,1),(194,1),(195,1)}
       176:{1,4,5,6}:{(151,1),(162,1),(195,1)}
       177:{1,2,3,7}:{(152,1),(153,1),(165,1),(196,1)}
       178:{2,3,4,7}:{(152,1),(154,1),(160,1),(166,1),(196,1),(197,1)}
       179:{1,3,4,7}:{(153,1),(154,1),(157,1),(167,1),(196,1),(198,1)}
       180:{3,5,7}:{(154,1),(155,1),(168,1),(199,1)}
       181:{1,2,4,6}:{(155,1),(156,1),(159,1),(162,1),(199,1),(200,1),(201,1),(209,1)}
       182:{1,4,5,7}:{(157,1),(158,1),(169,1),(192,1),(198,1),(200,1)}
       183:{3,4,6}:{(158,1),(159,1),(193,1),(199,1),(200,1)}
       184:{2,4,5,7}:{(160,1),(161,1),(170,1),(194,1),(197,1),(201,1)}
       185:{3,4,6}:{(161,1),(162,1),(195,1),(199,1),(201,1)}
       186:{1,2,3,5}:{(163,1),(164,1),(165,1),(202,1),(203,1)}
       187:{2,3,4}:{(163,1),(202,1)}
       188:{1,3,4}:{(164,1),(202,1)}
       189:{1,2,4,6}:{(165,1),(166,1),(167,1),(196,1),(202,1),(203,1),(209,1)}
       190:{2,3,5}:{(166,1),(168,1),(170,1),(203,1)}
       191:{1,3,5}:{(167,1),(168,1),(169,1),(203,1)}
       192:{1,5,7}:{(171,1),(172,1),(204,1)}
       193:{3,5,6}:{(172,1),(173,1),(183,1),(204,1)}
       194:{2,5,7}:{(174,1),(175,1),(205,1)}
       195:{3,5,6}:{(175,1),(176,1),(185,1),(205,1)}
       196:{1,2,4,7}:{(177,1),(178,1),(179,1),(189,1),(206,1)}
       197:{2,3,5,7}:{(178,1),(180,1),(184,1),(190,1),(206,1),(207,1)}
       198:{1,3,5,7}:{(179,1),(180,1),(182,1),(191,1),(206,1),(208,1)}
       199:{3,6}:{(180,1),(181,1)}
       200:{1,4,6}:{(182,1),(183,1),(204,1),(208,1)}
       201:{2,4,6}:{(184,1),(185,1),(205,1),(207,1)}
       202:{1,2,4}:{(186,1),(187,1),(188,1)}
       203:{1,2,5}:{(189,1),(190,1),(191,1)}
       204:{1,5,6}:{(192,1),(193,1),(200,1)}
       205:{2,5,6}:{(194,1),(195,1),(201,1)}
       206:{1,2,5,7}:{(196,1),(197,1),(198,1),(203,1),(209,1)}
       207:{2,3,6}:{(197,1),(199,1),(201,1),(209,1)}
       208:{1,3,6}:{(198,1),(199,1),(200,1),(209,1)}
       209:{1,2,6}:{(206,1),(207,1),(208,1)}

1539 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(34,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(43,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(33,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(8,1),(20,1),(38,1),(39,1),(43,1),(45,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(20,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(29,1),(30,1),(33,1)}
        8:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(14,1),(47,1),(48,1)}
        9:{3,4,6}:{(5,1),(6,1),(13,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(31,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(32,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(40,1),(41,1),(43,1)}
       13:{3,5,6}:{(7,1),(9,1),(20,1)}
       14:{3,4,6,7}:{(8,1),(9,1),(20,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(21,1),(25,1),(57,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(22,1),(25,1),(57,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(43,1),(58,1),(59,1)}
       18:{1,2,4,5,6,7}:{(12,1),(27,1),(47,1),(48,1),(49,1)}
       19:{3,4,5,6}:{(13,1),(28,1),(29,1),(30,1),(51,1)}
       20:{3,5,7}:{(12,1),(13,1),(14,1)}
       21:{1,3,5,6}:{(13,1),(15,1),(29,1),(31,1),(33,1),(51,1)}
       22:{2,3,5,6}:{(13,1),(16,1),(30,1),(32,1),(33,1),(51,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(31,1),(34,1),(47,1),(60,1),(61,1)}
       24:{2,3,4,6,7}:{(14,1),(16,1),(32,1),(34,1),(48,1),(60,1),(61,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(33,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,5,6,7}:{(18,1),(20,1),(37,1)}
       28:{3,4,5,7}:{(19,1),(20,1),(37,1),(40,1),(41,1),(56,1)}
       29:{1,4,5,6}:{(19,1),(21,1),(40,1)}
       30:{2,4,5,6}:{(19,1),(22,1),(41,1)}
       31:{1,3,5,7}:{(20,1),(21,1),(23,1),(40,1),(43,1),(56,1)}
       32:{2,3,5,7}:{(20,1),(22,1),(24,1),(41,1),(43,1),(56,1)}
       33:{1,2,5,6}:{(21,1),(22,1),(25,1),(43,1)}
       34:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(43,1),(45,1),(58,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(58,1)}
       37:{3,4,6,7}:{(27,1),(28,1),(47,1),(48,1),(60,1)}
       38:{1,3,5,6,7}:{(27,1),(31,1),(47,1),(49,1),(60,1)}
       39:{2,3,5,6,7}:{(27,1),(32,1),(48,1),(49,1),(60,1)}
       40:{1,4,5,7}:{(28,1),(29,1),(31,1),(47,1)}
       41:{2,4,5,7}:{(28,1),(30,1),(32,1),(48,1)}
       42:{1,2,4,5,6}:{(29,1),(30,1),(33,1),(50,1),(51,1),(53,1)}
       43:{1,2,5,7}:{(31,1),(32,1),(33,1),(34,1)}
       44:{1,2,3,5,6}:{(33,1),(35,1),(51,1),(52,1),(53,1),(54,1)}
       45:{1,2,3,6,7}:{(34,1),(35,1),(52,1),(60,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(40,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(41,1)}
       49:{1,2,5,6,7}:{(38,1),(39,1),(43,1),(55,1)}
       50:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(43,1),(55,1),(56,1),(58,1)}
       51:{3,5,6}:{(42,1),(56,1),(57,1)}
       52:{1,2,3,5,7}:{(43,1),(44,1),(45,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(44,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(50,1),(60,1)}
       56:{3,5,7}:{(50,1),(51,1),(60,1),(61,1)}
       57:{3,4,6}:{(51,1),(53,1),(61,1),(62,1)}
       58:{1,2,4,7}:{(52,1),(53,1),(61,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(57,1),(59,1)}

1540 :   0:{1,2,3,4}:{(1,1)}
         1:{1,2,3,5}:{(0,1),(5,1),(6,1)}
         2:{1,2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(22,1),(26,1),(84,1),(87,1)}
         3:{1,3,4,5}:{(5,1),(9,1),(24,1)}
         4:{2,3,4,5}:{(5,1),(10,1),(24,1)}
         5:{1,2,4,5}:{(1,1),(3,1),(4,1),(11,1)}
         6:{1,2,3,6}:{(1,1),(11,1),(13,1)}
         7:{1,2,3,5}:{(2,1),(14,1)}
         8:{1,2,3,4,7}:{(2,1),(13,1),(15,1),(34,1),(97,1)}
         9:{1,3,4,6}:{(3,1),(11,1),(16,1),(17,1),(33,1)}
        10:{2,3,4,6}:{(4,1),(11,1),(18,1),(19,1),(33,1)}
        11:{1,2,4,6}:{(5,1),(6,1),(9,1),(10,1),(20,1),(21,1)}
        12:{1,2,3,5,6}:{(6,1),(7,1),(20,1),(22,1),(23,1),(26,1),(46,1),(55,1),(79,1),(84,1)}
        13:{1,2,3,7}:{(6,1),(21,1)}
        14:{1,2,4,5}:{(7,1),(22,1),(24,1)}
        15:{1,2,3,5,7}:{(7,1),(8,1),(25,1),(26,1)}
        16:{1,3,5,6}:{(9,1),(20,1),(27,1),(28,1),(46,1)}
        17:{1,3,4,7}:{(9,1),(21,1),(28,1),(51,1)}
        18:{2,3,5,6}:{(10,1),(20,1),(29,1),(30,1),(46,1)}
        19:{2,3,4,7}:{(10,1),(21,1),(30,1),(51,1)}
        20:{1,2,5,6}:{(11,1),(16,1),(18,1),(32,1)}
        21:{1,2,4,7}:{(11,1),(13,1),(17,1),(19,1),(32,1)}
        22:{1,2,4,6}:{(12,1),(14,1),(33,1),(34,1)}
        23:{1,2,3,5,7}:{(12,1),(13,1),(32,1),(34,1),(35,1),(64,1),(70,1),(93,1),(97,1)}
        24:{3,4,5}:{(14,1),(33,1)}
        25:{1,2,4,5,7}:{(14,1),(15,1),(34,1),(38,1),(39,1),(70,1)}
        26:{1,2,3,6}:{(15,1),(39,1)}
        27:{1,4,5,6}:{(16,1),(40,1),(41,1)}
        28:{1,3,5,7}:{(16,1),(17,1),(32,1),(41,1),(42,1),(64,1)}
        29:{2,4,5,6}:{(18,1),(43,1),(44,1)}
        30:{2,3,5,7}:{(18,1),(19,1),(32,1),(44,1),(45,1),(64,1)}
        31:{1,2,4,5,6}:{(20,1),(22,1),(27,1),(29,1),(46,1),(47,1),(55,1),(56,1),(59,1),(79,1),(88,1)}
        32:{1,2,5,7}:{(20,1),(21,1),(28,1),(30,1),(48,1)}
        33:{3,4,6}:{(22,1),(24,1),(46,1),(51,1)}
        34:{1,2,4,7}:{(22,1),(23,1),(51,1)}
        35:{1,2,3,6,7}:{(23,1),(26,1),(48,1),(52,1),(82,1),(103,1)}
        36:{1,3,4,5}:{(24,1),(49,1),(53,1)}
        37:{2,3,4,5}:{(24,1),(50,1),(53,1)}
        38:{3,4,5,7}:{(24,1),(25,1),(51,1),(54,1),(86,1)}
        39:{1,2,4,6}:{(25,1),(26,1),(54,1),(55,1)}
        40:{3,4,5,6}:{(27,1),(46,1),(56,1),(57,1),(88,1)}
        41:{1,4,5,7}:{(27,1),(28,1),(57,1),(58,1)}
        42:{1,3,6,7}:{(28,1),(48,1),(58,1),(82,1)}
        43:{3,4,5,6}:{(29,1),(46,1),(59,1),(60,1),(88,1)}
        44:{2,4,5,7}:{(29,1),(30,1),(60,1),(61,1)}
        45:{2,3,6,7}:{(30,1),(48,1),(61,1),(82,1)}
        46:{3,5,6}:{(31,1),(33,1),(64,1)}
        47:{1,2,4,5,7}:{(31,1),(32,1),(34,1),(41,1),(44,1),(64,1),(65,1),(70,1),(73,1),(76,1),(93,1),(98,1)}
        48:{1,2,6,7}:{(32,1),(42,1),(45,1)}
        49:{1,3,4,6}:{(33,1),(36,1),(62,1),(66,1),(67,1)}
        50:{2,3,4,6}:{(33,1),(37,1),(63,1),(66,1),(68,1)}
        51:{3,4,7}:{(33,1),(34,1),(64,1)}
        52:{1,2,4,6,7}:{(34,1),(35,1),(39,1),(69,1),(70,1)}
        53:{1,2,4,5}:{(36,1),(37,1),(66,1),(71,1)}
        54:{3,4,6}:{(38,1),(39,1),(72,1)}
        55:{1,2,5,6}:{(39,1),(70,1),(72,1)}
        56:{2,4,5,6}:{(40,1),(63,1),(73,1)}
        57:{3,4,5,7}:{(40,1),(41,1),(64,1),(73,1),(74,1),(98,1)}
        58:{1,4,6,7}:{(41,1),(42,1),(74,1),(75,1)}
        59:{1,4,5,6}:{(43,1),(62,1),(76,1)}
        60:{3,4,5,7}:{(43,1),(44,1),(64,1),(76,1),(77,1),(98,1)}
        61:{2,4,6,7}:{(44,1),(45,1),(77,1),(78,1)}
        62:{1,3,5,6}:{(46,1),(49,1),(59,1),(79,1),(80,1)}
        63:{2,3,5,6}:{(46,1),(50,1),(56,1),(79,1),(81,1)}
        64:{3,5,7}:{(46,1),(47,1),(51,1),(82,1)}
        65:{1,2,4,6,7}:{(47,1),(48,1),(58,1),(61,1),(82,1),(83,1),(89,1),(91,1),(103,1),(104,1)}
        66:{1,2,4,6}:{(49,1),(50,1),(53,1),(79,1),(84,1),(85,1)}
        67:{1,3,4,7}:{(49,1),(51,1),(80,1),(85,1)}
        68:{2,3,4,7}:{(50,1),(51,1),(81,1),(85,1)}
        69:{3,4,6,7}:{(51,1),(52,1),(54,1),(82,1),(86,1),(104,1)}
        70:{1,2,5,7}:{(52,1),(55,1),(86,1)}
        71:{1,2,3,5}:{(53,1),(84,1),(87,1)}
        72:{3,5,6}:{(54,1),(55,1),(86,1),(88,1)}
        73:{2,4,5,7}:{(56,1),(57,1),(81,1),(89,1)}
        74:{3,4,6,7}:{(57,1),(58,1),(82,1),(89,1),(90,1),(104,1)}
        75:{1,5,6,7}:{(58,1),(90,1)}
        76:{1,4,5,7}:{(59,1),(60,1),(80,1),(91,1)}
        77:{3,4,6,7}:{(60,1),(61,1),(82,1),(91,1),(92,1),(104,1)}
        78:{2,5,6,7}:{(61,1),(92,1)}
        79:{1,2,5,6}:{(62,1),(63,1),(66,1),(93,1)}
        80:{1,3,5,7}:{(62,1),(64,1),(67,1),(76,1),(93,1),(94,1)}
        81:{2,3,5,7}:{(63,1),(64,1),(68,1),(73,1),(93,1),(95,1)}
        82:{3,6,7}:{(64,1),(65,1)}
        83:{1,2,5,6,7}:{(65,1),(70,1),(75,1),(78,1),(96,1),(99,1),(101,1)}
        84:{1,2,3,6}:{(66,1),(71,1),(97,1)}
        85:{1,2,4,7}:{(66,1),(67,1),(68,1),(93,1),(97,1)}
        86:{3,5,7}:{(69,1),(70,1),(72,1),(98,1)}
        87:{1,2,3,4}:{(71,1)}
        88:{4,5,6}:{(72,1),(98,1)}
        89:{2,4,6,7}:{(73,1),(74,1),(95,1),(99,1)}
        90:{3,5,6,7}:{(74,1),(75,1),(99,1),(100,1)}
        91:{1,4,6,7}:{(76,1),(77,1),(94,1),(101,1)}
        92:{3,5,6,7}:{(77,1),(78,1),(101,1),(102,1)}
        93:{1,2,5,7}:{(79,1),(80,1),(81,1),(85,1),(103,1)}
        94:{1,3,6,7}:{(80,1),(82,1),(91,1),(103,1)}
        95:{2,3,6,7}:{(81,1),(82,1),(89,1),(103,1)}
        96:{3,5,6,7}:{(82,1),(83,1),(86,1),(104,1)}
        97:{1,2,3,7}:{(84,1),(85,1)}
        98:{4,5,7}:{(86,1),(88,1),(104,1)}
        99:{2,5,6,7}:{(89,1),(90,1)}
       100:{4,5,6,7}:{(90,1),(104,1)}
       101:{1,5,6,7}:{(91,1),(92,1)}
       102:{4,5,6,7}:{(92,1),(104,1)}
       103:{1,2,6,7}:{(93,1),(94,1),(95,1)}
       104:{4,6,7}:{(96,1),(98,1)}

1541 :   0:{1,3,4,6,7}:{(2,1),(3,1),(16,1),(35,1),(39,1),(41,1),(65,1),(70,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(18,1),(37,1),(39,1),(41,1),(66,1),(71,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(6,1),(24,1),(25,1),(51,1),(53,1),(80,1),(84,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(26,1),(50,1),(82,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(9,1),(10,1),(26,1),(52,1),(83,1)}
         5:{1,2,3,6,7}:{(2,1),(13,1),(41,1),(65,1),(66,1),(76,1),(95,1),(101,1)}
         6:{1,2,5,7}:{(2,1),(3,1),(4,1),(14,1),(67,1),(68,1),(94,1)}
         7:{1,3,5,6}:{(3,1),(14,1),(16,1),(41,1),(44,1)}
         8:{1,4,5,7}:{(3,1),(16,1),(17,1),(89,1),(92,1)}
         9:{2,3,5,6}:{(4,1),(14,1),(18,1),(41,1),(46,1)}
        10:{2,4,5,7}:{(4,1),(18,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(7,1),(20,1),(21,1),(49,1),(50,1),(78,1)}
        12:{2,3,5,6,7}:{(9,1),(20,1),(22,1),(49,1),(52,1),(79,1)}
        13:{1,2,3,5,7}:{(5,1),(6,1),(23,1),(24,1),(26,1),(61,1),(78,1),(79,1),(85,1),(99,1)}
        14:{1,2,5,6}:{(6,1),(7,1),(9,1),(25,1),(62,1),(63,1)}
        15:{1,2,4,5,7}:{(6,1),(8,1),(10,1),(24,1),(25,1),(26,1),(29,1),(32,1),(54,1),(61,1),(97,1),(98,1)}
        16:{1,4,6}:{(7,1),(8,1),(28,1)}
        17:{3,4,5,7}:{(8,1),(26,1),(28,1),(29,1),(50,1),(77,1),(81,1)}
        18:{2,4,6}:{(9,1),(10,1),(31,1)}
        19:{3,4,5,7}:{(10,1),(26,1),(31,1),(32,1),(52,1),(77,1),(81,1)}
        20:{1,2,5,6,7}:{(11,1),(12,1),(14,1),(33,1),(67,1),(68,1),(91,1)}
        21:{1,4,6,7}:{(11,1),(16,1),(34,1),(35,1),(89,1)}
        22:{2,4,6,7}:{(12,1),(18,1),(36,1),(37,1),(90,1)}
        23:{1,2,3,5,6}:{(13,1),(14,1),(38,1),(41,1),(69,1),(74,1),(75,1),(76,1),(94,1),(95,1)}
        24:{1,2,4,7}:{(13,1),(38,1),(39,1),(89,1),(90,1),(103,1)}
        25:{1,2,4,6}:{(14,1),(15,1),(16,1),(18,1),(41,1),(45,1),(47,1),(76,1)}
        26:{3,5,7}:{(15,1),(39,1),(41,1),(69,1),(101,1),(102,1)}
        27:{1,4,5,6}:{(16,1),(34,1),(44,1)}
        28:{3,4,6}:{(16,1),(17,1),(41,1),(44,1),(45,1)}
        29:{2,4,5,7}:{(17,1),(43,1),(45,1),(67,1),(90,1),(93,1)}
        30:{2,4,5,6}:{(18,1),(36,1),(46,1)}
        31:{3,4,6}:{(18,1),(19,1),(41,1),(46,1),(47,1)}
        32:{1,4,5,7}:{(19,1),(42,1),(47,1),(68,1),(89,1),(92,1)}
        33:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(25,1),(48,1),(49,1),(51,1),(53,1),(80,1),(97,1)}
        34:{1,4,5,7}:{(21,1),(27,1),(50,1)}
        35:{3,4,6,7}:{(21,1),(28,1),(49,1),(50,1),(51,1),(77,1)}
        36:{2,4,5,7}:{(22,1),(30,1),(52,1)}
        37:{3,4,6,7}:{(22,1),(31,1),(49,1),(52,1),(53,1),(77,1)}
        38:{1,2,4,6}:{(23,1),(24,1),(54,1),(55,1),(86,1),(87,1)}
        39:{3,4,7}:{(24,1),(26,1),(55,1),(104,1)}
        40:{1,2,4,5,6}:{(25,1),(27,1),(30,1),(48,1),(54,1),(58,1),(62,1),(63,1),(86,1),(87,1),(88,1)}
        41:{3,6}:{(25,1),(26,1)}
        42:{1,3,5,7}:{(26,1),(32,1),(56,1),(59,1),(61,1),(82,1)}
        43:{2,3,5,7}:{(26,1),(29,1),(57,1),(60,1),(61,1),(83,1)}
        44:{3,5,6}:{(27,1),(28,1),(50,1),(62,1)}
        45:{2,4,6}:{(28,1),(29,1),(60,1),(62,1)}
        46:{3,5,6}:{(30,1),(31,1),(52,1),(63,1)}
        47:{1,4,6}:{(31,1),(32,1),(59,1),(63,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(36,1),(40,1),(64,1),(67,1),(68,1),(89,1),(90,1),(91,1)}
        49:{3,6,7}:{(33,1),(41,1),(64,1),(101,1)}
        50:{3,5,7}:{(34,1),(35,1),(44,1),(67,1)}
        51:{2,4,6,7}:{(35,1),(45,1),(66,1),(67,1),(90,1)}
        52:{3,5,7}:{(36,1),(37,1),(46,1),(68,1)}
        53:{1,4,6,7}:{(37,1),(47,1),(65,1),(68,1),(89,1)}
        54:{1,2,4,5}:{(38,1),(69,1),(92,1),(93,1),(94,1)}
        55:{3,4,6}:{(38,1),(39,1),(41,1),(69,1)}
        56:{1,3,4,7}:{(39,1),(42,1),(70,1),(72,1),(89,1),(101,1)}
        57:{2,3,4,7}:{(39,1),(43,1),(71,1),(72,1),(90,1),(101,1)}
        58:{3,5,6}:{(40,1),(41,1),(64,1),(69,1),(73,1)}
        59:{1,3,6}:{(41,1),(42,1),(47,1),(76,1)}
        60:{2,3,6}:{(41,1),(43,1),(45,1),(76,1)}
        61:{1,2,5,7}:{(42,1),(43,1),(72,1),(76,1),(94,1)}
        62:{2,5,6}:{(44,1),(45,1),(67,1)}
        63:{1,5,6}:{(46,1),(47,1),(68,1)}
        64:{3,5,7}:{(48,1),(49,1),(58,1),(77,1)}
        65:{1,3,6,7}:{(49,1),(53,1),(59,1),(78,1),(80,1)}
        66:{2,3,6,7}:{(49,1),(51,1),(60,1),(79,1),(80,1)}
        67:{2,5,7}:{(50,1),(51,1),(62,1)}
        68:{1,5,7}:{(52,1),(53,1),(63,1)}
        69:{3,5}:{(54,1),(55,1)}
        70:{1,3,4,6}:{(55,1),(56,1),(59,1),(82,1),(84,1),(86,1),(100,1),(104,1)}
        71:{2,3,4,6}:{(55,1),(57,1),(60,1),(83,1),(84,1),(87,1),(100,1),(104,1)}
        72:{1,2,4,7}:{(56,1),(57,1),(61,1),(84,1),(85,1)}
        73:{3,4,6}:{(58,1),(77,1),(81,1),(86,1),(87,1),(100,1)}
        74:{1,3,5,6}:{(58,1),(59,1),(63,1),(78,1),(82,1),(86,1),(88,1),(100,1)}
        75:{2,3,5,6}:{(58,1),(60,1),(62,1),(79,1),(83,1),(87,1),(88,1),(100,1)}
        76:{1,2,6}:{(59,1),(60,1),(61,1)}
        77:{3,4,7}:{(64,1),(73,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(65,1),(68,1),(74,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(66,1),(67,1),(75,1),(90,1),(91,1),(101,1)}
        80:{1,2,6,7}:{(65,1),(66,1),(76,1),(91,1)}
        81:{3,4,5}:{(69,1),(73,1),(92,1),(93,1),(102,1)}
        82:{1,3,5}:{(69,1),(70,1),(92,1),(94,1),(102,1)}
        83:{2,3,5}:{(69,1),(71,1),(93,1),(94,1),(102,1)}
        84:{1,2,4,6}:{(70,1),(71,1),(72,1),(76,1),(94,1),(95,1),(103,1)}
        85:{1,2,3,7}:{(72,1),(95,1),(101,1)}
        86:{1,4,6}:{(73,1),(74,1),(89,1),(92,1)}
        87:{2,4,6}:{(73,1),(75,1),(90,1),(93,1)}
        88:{1,2,5,6}:{(74,1),(75,1),(76,1),(91,1),(94,1),(96,1)}
        89:{1,4,7}:{(77,1),(78,1),(86,1)}
        90:{2,4,7}:{(77,1),(79,1),(87,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(80,1),(88,1),(97,1)}
        92:{1,4,5}:{(81,1),(82,1),(86,1)}
        93:{2,4,5}:{(81,1),(83,1),(87,1)}
        94:{1,2,5}:{(82,1),(83,1),(84,1)}
        95:{1,2,3,6}:{(84,1),(85,1),(99,1),(100,1)}
        96:{1,2,4,6}:{(86,1),(87,1),(88,1),(97,1),(98,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(96,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(96,1),(102,1),(103,1)}
        99:{1,2,3,5}:{(94,1),(95,1),(102,1),(103,1)}
       100:{3,6}:{(96,1),(101,1),(102,1)}
       101:{3,7}:{(97,1),(100,1)}
       102:{3,5}:{(98,1),(100,1),(104,1)}
       103:{1,2,4}:{(99,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1542 :   0:{1,2,3,6}:{(3,1),(4,1),(5,1),(76,1),(129,1)}
         1:{2,3,4,6}:{(4,1),(6,1),(7,1),(22,1),(29,1),(32,1),(76,1),(78,1)}
         2:{1,3,4,6}:{(4,1),(8,1),(9,1),(22,1),(34,1),(37,1),(76,1),(78,1)}
         3:{1,2,3,5}:{(0,1),(10,1),(12,1),(42,1),(45,1),(101,1)}
         4:{1,2,4,6}:{(0,1),(1,1),(2,1),(10,1),(12,1),(13,1),(51,1)}
         5:{1,2,3,7}:{(0,1),(13,1),(110,1),(155,1),(224,1)}
         6:{2,3,5}:{(1,1),(12,1),(14,1),(45,1),(112,1)}
         7:{2,3,4,7}:{(1,1),(13,1),(16,1),(46,1),(55,1),(110,1),(196,1)}
         8:{1,3,5}:{(2,1),(12,1),(17,1),(45,1),(112,1)}
         9:{1,3,4,7}:{(2,1),(13,1),(19,1),(46,1),(61,1),(110,1),(195,1)}
        10:{1,2,4}:{(3,1),(22,1)}
        11:{1,2,3,5,7}:{(3,1),(5,1),(24,1),(25,1),(27,1),(71,1),(77,1),(81,1),(130,1),(132,1)}
        12:{1,2,5}:{(4,1),(6,1),(8,1)}
        13:{1,2,4,7}:{(4,1),(5,1),(7,1),(9,1),(27,1),(213,1)}
        14:{2,4,5}:{(6,1),(28,1),(29,1),(141,1)}
        15:{2,3,5,6}:{(6,1),(26,1),(29,1),(31,1),(32,1),(40,1),(76,1),(88,1),(140,1)}
        16:{2,3,5,7}:{(6,1),(7,1),(27,1),(30,1),(32,1),(77,1),(212,1),(228,1)}
        17:{1,4,5}:{(8,1),(33,1),(34,1),(141,1)}
        18:{1,3,5,6}:{(8,1),(26,1),(34,1),(36,1),(37,1),(38,1),(76,1),(94,1),(140,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(27,1),(35,1),(37,1),(77,1),(211,1),(227,1)}
        20:{1,4,5,6}:{(34,1),(38,1),(39,1),(94,1),(150,1)}
        21:{2,4,5,6}:{(29,1),(40,1),(41,1),(88,1),(146,1)}
        22:{3,4}:{(10,1),(45,1)}
        23:{1,2,4,5}:{(10,1),(12,1),(14,1),(17,1),(45,1),(47,1),(52,1),(58,1),(101,1)}
        24:{1,2,4,7}:{(10,1),(11,1),(46,1),(49,1),(158,1)}
        25:{1,2,3,6}:{(11,1),(49,1),(51,1),(111,1),(156,1)}
        26:{1,2,5,6}:{(12,1),(15,1),(18,1),(47,1),(50,1),(51,1),(64,1),(67,1)}
        27:{1,2,5,7}:{(12,1),(13,1),(16,1),(19,1),(51,1),(223,1),(230,1)}
        28:{3,4,5}:{(14,1),(45,1),(52,1),(53,1)}
        29:{2,4,6}:{(14,1),(15,1),(53,1),(55,1),(166,1)}
        30:{2,4,5,7}:{(14,1),(16,1),(54,1),(55,1),(56,1),(119,1),(202,1),(226,1)}
        31:{2,3,5,7}:{(15,1),(50,1),(55,1),(57,1),(68,1),(110,1),(119,1),(165,1)}
        32:{2,3,6}:{(16,1),(51,1),(56,1),(111,1)}
        33:{3,4,5}:{(17,1),(45,1),(58,1),(59,1)}
        34:{1,4,6}:{(17,1),(18,1),(59,1),(61,1),(166,1)}
        35:{1,4,5,7}:{(17,1),(19,1),(60,1),(61,1),(62,1),(124,1),(199,1),(225,1)}
        36:{1,3,5,7}:{(18,1),(50,1),(61,1),(63,1),(65,1),(110,1),(124,1),(165,1)}
        37:{1,3,6}:{(19,1),(51,1),(62,1),(111,1)}
        38:{3,5,6}:{(20,1),(59,1),(64,1),(65,1)}
        39:{1,4,5,7}:{(20,1),(61,1),(65,1),(66,1),(124,1),(172,1)}
        40:{3,5,6}:{(21,1),(53,1),(67,1),(68,1)}
        41:{2,4,5,7}:{(21,1),(55,1),(68,1),(69,1),(119,1),(169,1)}
        42:{1,2,3}:{(70,1)}
        43:{2,3,4}:{(22,1),(70,1),(72,1)}
        44:{1,3,4}:{(22,1),(70,1),(74,1)}
        45:{3,5}:{(22,1),(23,1),(76,1)}
        46:{3,4,7}:{(22,1),(24,1),(77,1),(78,1),(178,1),(185,1)}
        47:{1,2,4,6}:{(23,1),(26,1),(29,1),(34,1),(76,1),(79,1),(83,1),(89,1),(129,1)}
        48:{1,2,4,5,7}:{(23,1),(24,1),(27,1),(30,1),(35,1),(77,1),(79,1),(80,1),(81,1),(84,1),(90,1),(130,1),(141,1),(142,1),(177,1),(185,1),(209,1)}
        49:{1,2,4,6}:{(24,1),(25,1),(78,1),(81,1)}
        50:{1,2,5,7}:{(26,1),(31,1),(36,1),(79,1),(82,1),(95,1),(98,1)}
        51:{1,2,6}:{(27,1),(32,1),(37,1)}
        52:{1,4,5}:{(28,1),(74,1),(83,1)}
        53:{3,4,6}:{(28,1),(29,1),(40,1),(76,1),(83,1),(85,1)}
        54:{3,4,5,7}:{(28,1),(30,1),(77,1),(84,1),(85,1),(86,1),(141,1),(145,1),(184,1),(185,1),(216,1)}
        55:{2,4,7}:{(29,1),(31,1),(85,1),(185,1)}
        56:{2,4,6}:{(30,1),(32,1),(86,1),(88,1)}
        57:{2,3,6,7}:{(31,1),(32,1),(82,1),(87,1),(99,1),(139,1),(228,1)}
        58:{2,4,5}:{(33,1),(72,1),(89,1)}
        59:{3,4,6}:{(33,1),(34,1),(38,1),(76,1),(89,1),(91,1)}
        60:{3,4,5,7}:{(33,1),(35,1),(77,1),(90,1),(91,1),(92,1),(141,1),(149,1),(181,1),(185,1),(214,1)}
        61:{1,4,7}:{(34,1),(36,1),(91,1),(185,1)}
        62:{1,4,6}:{(35,1),(37,1),(92,1),(94,1)}
        63:{1,3,6,7}:{(36,1),(37,1),(82,1),(93,1),(96,1),(139,1),(227,1)}
        64:{2,5,6}:{(38,1),(89,1),(95,1)}
        65:{3,5,7}:{(38,1),(39,1),(91,1),(95,1),(96,1)}
        66:{1,4,6,7}:{(39,1),(96,1),(97,1),(152,1)}
        67:{1,5,6}:{(40,1),(83,1),(98,1)}
        68:{3,5,7}:{(40,1),(41,1),(85,1),(98,1),(99,1)}
        69:{2,4,6,7}:{(41,1),(99,1),(100,1),(154,1)}
        70:{1,2,4}:{(42,1),(43,1),(44,1),(101,1)}
        71:{1,2,3,7}:{(42,1),(102,1),(103,1),(220,1),(230,1)}
        72:{2,3,5}:{(43,1),(45,1),(58,1),(101,1),(104,1)}
        73:{2,3,4,7}:{(43,1),(46,1),(102,1),(105,1),(106,1),(197,1),(220,1)}
        74:{1,3,5}:{(44,1),(45,1),(52,1),(101,1),(107,1)}
        75:{1,3,4,7}:{(44,1),(46,1),(102,1),(108,1),(109,1),(200,1),(220,1)}
        76:{3,6}:{(45,1),(47,1),(110,1)}
        77:{3,5,7}:{(45,1),(46,1),(48,1),(110,1),(111,1),(112,1),(194,1),(220,1)}
        78:{3,4,6}:{(46,1),(49,1),(111,1),(112,1),(166,1)}
        79:{1,2,4,7}:{(47,1),(50,1),(55,1),(61,1),(110,1),(115,1),(120,1),(155,1)}
        80:{1,2,4,6}:{(48,1),(51,1),(56,1),(62,1),(111,1),(114,1),(116,1),(121,1),(156,1),(166,1)}
        81:{1,2,5}:{(49,1),(112,1)}
        82:{1,2,6,7}:{(50,1),(51,1),(57,1),(63,1),(125,1),(127,1),(230,1)}
        83:{1,4,6}:{(52,1),(53,1),(67,1),(107,1),(115,1)}
        84:{1,4,5,7}:{(52,1),(54,1),(108,1),(115,1),(116,1),(164,1),(167,1),(200,1)}
        85:{3,4,7}:{(53,1),(55,1),(68,1),(110,1),(115,1)}
        86:{3,4,6}:{(54,1),(56,1),(111,1),(116,1),(118,1),(166,1)}
        87:{2,4,6,7}:{(55,1),(56,1),(57,1),(117,1),(119,1),(208,1),(226,1)}
        88:{2,5,6}:{(56,1),(118,1),(119,1)}
        89:{2,4,6}:{(58,1),(59,1),(64,1),(104,1),(120,1)}
        90:{2,4,5,7}:{(58,1),(60,1),(105,1),(120,1),(121,1),(161,1),(170,1),(197,1)}
        91:{3,4,7}:{(59,1),(61,1),(65,1),(110,1),(120,1)}
        92:{3,4,6}:{(60,1),(62,1),(111,1),(121,1),(123,1),(166,1)}
        93:{1,4,6,7}:{(61,1),(62,1),(63,1),(122,1),(124,1),(207,1),(225,1)}
        94:{1,5,6}:{(62,1),(123,1),(124,1)}
        95:{2,5,7}:{(64,1),(65,1),(120,1),(125,1)}
        96:{3,6,7}:{(65,1),(66,1),(125,1)}
        97:{1,5,6,7}:{(66,1),(124,1),(126,1),(207,1)}
        98:{1,5,7}:{(67,1),(68,1),(115,1),(127,1)}
        99:{3,6,7}:{(68,1),(69,1),(127,1)}
       100:{2,5,6,7}:{(69,1),(119,1),(128,1),(208,1)}
       101:{1,2,5}:{(70,1),(72,1),(74,1),(129,1)}
       102:{1,2,4,7}:{(70,1),(71,1),(73,1),(75,1),(130,1),(131,1)}
       103:{1,2,3,6}:{(71,1),(131,1),(132,1),(210,1),(229,1)}
       104:{2,3,6}:{(72,1),(76,1),(89,1),(129,1),(133,1)}
       105:{2,3,5,7}:{(72,1),(73,1),(77,1),(90,1),(130,1),(133,1),(134,1),(135,1)}
       106:{2,3,4,6}:{(73,1),(78,1),(131,1),(134,1),(135,1),(178,1),(180,1),(210,1)}
       107:{1,3,6}:{(74,1),(76,1),(83,1),(129,1),(136,1)}
       108:{1,3,5,7}:{(74,1),(75,1),(77,1),(84,1),(130,1),(136,1),(137,1),(138,1)}
       109:{1,3,4,6}:{(75,1),(78,1),(131,1),(137,1),(138,1),(178,1),(183,1),(210,1)}
       110:{3,7}:{(76,1),(79,1)}
       111:{3,6}:{(77,1),(80,1)}
       112:{3,5}:{(78,1),(81,1),(141,1)}
       113:{1,2,4,6,7}:{(79,1),(80,1),(82,1),(87,1),(93,1),(139,1),(142,1),(143,1),(147,1),(175,1),(185,1),(209,1)}
       114:{1,2,5,6}:{(80,1),(81,1),(88,1),(94,1),(140,1),(142,1),(144,1),(148,1)}
       115:{1,4,7}:{(83,1),(85,1),(98,1),(136,1)}
       116:{1,4,6}:{(84,1),(86,1),(137,1),(144,1)}
       117:{3,4,6,7}:{(85,1),(86,1),(87,1),(99,1),(139,1),(143,1),(145,1),(154,1),(185,1),(191,1),(216,1)}
       118:{3,5,6}:{(86,1),(88,1),(144,1),(145,1),(146,1)}
       119:{2,5,7}:{(87,1),(88,1),(145,1)}
       120:{2,4,7}:{(89,1),(91,1),(95,1),(133,1)}
       121:{2,4,6}:{(90,1),(92,1),(134,1),(148,1)}
       122:{3,4,6,7}:{(91,1),(92,1),(93,1),(96,1),(139,1),(147,1),(149,1),(152,1),(185,1),(190,1),(214,1)}
       123:{3,5,6}:{(92,1),(94,1),(148,1),(149,1),(150,1)}
       124:{1,5,7}:{(93,1),(94,1),(149,1)}
       125:{2,6,7}:{(95,1),(96,1)}
       126:{3,5,6,7}:{(96,1),(97,1),(149,1),(151,1),(152,1),(190,1)}
       127:{1,6,7}:{(98,1),(99,1)}
       128:{3,5,6,7}:{(99,1),(100,1),(145,1),(153,1),(154,1),(191,1)}
       129:{1,2,6}:{(101,1),(104,1),(107,1),(155,1)}
       130:{1,2,5,7}:{(101,1),(102,1),(105,1),(108,1),(155,1),(156,1),(157,1)}
       131:{1,2,4,6}:{(102,1),(103,1),(106,1),(109,1),(156,1),(157,1),(158,1)}
       132:{1,2,3,5}:{(103,1),(157,1),(158,1),(194,1),(223,1),(224,1)}
       133:{2,3,7}:{(104,1),(110,1),(120,1),(155,1)}
       134:{2,3,6}:{(105,1),(111,1),(121,1),(156,1)}
       135:{2,3,5}:{(106,1),(112,1),(157,1),(161,1),(194,1)}
       136:{1,3,7}:{(107,1),(110,1),(115,1),(155,1)}
       137:{1,3,6}:{(108,1),(111,1),(116,1),(156,1)}
       138:{1,3,5}:{(109,1),(112,1),(157,1),(164,1),(194,1)}
       139:{3,6,7}:{(110,1),(111,1),(113,1),(165,1),(220,1)}
       140:{3,5,6}:{(111,1),(112,1),(114,1),(165,1),(166,1)}
       141:{4,5}:{(112,1),(166,1)}
       142:{1,2,5,7}:{(113,1),(114,1),(119,1),(124,1),(165,1),(167,1),(170,1)}
       143:{1,4,6,7}:{(115,1),(116,1),(117,1),(127,1),(162,1),(167,1),(200,1)}
       144:{1,5,6}:{(116,1),(118,1),(167,1)}
       145:{3,5,7}:{(117,1),(118,1),(119,1),(167,1),(169,1)}
       146:{4,5,6}:{(118,1),(166,1),(169,1)}
       147:{2,4,6,7}:{(120,1),(121,1),(122,1),(125,1),(159,1),(170,1),(197,1)}
       148:{2,5,6}:{(121,1),(123,1),(170,1)}
       149:{3,5,7}:{(122,1),(123,1),(124,1),(170,1),(172,1)}
       150:{4,5,6}:{(123,1),(166,1),(172,1)}
       151:{2,5,6,7}:{(125,1),(126,1),(170,1),(173,1)}
       152:{4,6,7}:{(126,1),(172,1)}
       153:{1,5,6,7}:{(127,1),(128,1),(167,1),(174,1)}
       154:{4,6,7}:{(128,1),(169,1)}
       155:{1,2,7}:{(129,1),(133,1),(136,1)}
       156:{1,2,6}:{(130,1),(134,1),(137,1)}
       157:{1,2,5}:{(131,1),(135,1),(138,1)}
       158:{1,2,4}:{(132,1),(178,1)}
       159:{2,3,6,7}:{(133,1),(134,1),(139,1),(147,1),(175,1),(179,1),(190,1)}
       160:{2,3,5,6}:{(134,1),(135,1),(140,1),(148,1),(176,1),(179,1),(180,1),(189,1),(210,1)}
       161:{2,4,5}:{(135,1),(141,1),(180,1),(181,1)}
       162:{1,3,6,7}:{(136,1),(137,1),(139,1),(143,1),(175,1),(182,1),(191,1)}
       163:{1,3,5,6}:{(137,1),(138,1),(140,1),(144,1),(176,1),(182,1),(183,1),(187,1),(210,1)}
       164:{1,4,5}:{(138,1),(141,1),(183,1),(184,1)}
       165:{3,5,7}:{(139,1),(140,1),(142,1),(185,1)}
       166:{4,6}:{(140,1),(141,1),(185,1)}
       167:{1,5,7}:{(143,1),(144,1),(145,1)}
       168:{1,4,5,6}:{(144,1),(146,1),(183,1),(186,1),(187,1)}
       169:{4,5,7}:{(145,1),(146,1),(154,1),(185,1)}
       170:{2,5,7}:{(147,1),(148,1),(149,1)}
       171:{2,4,5,6}:{(148,1),(150,1),(180,1),(188,1),(189,1)}
       172:{4,5,7}:{(149,1),(150,1),(152,1),(185,1)}
       173:{2,4,6,7}:{(151,1),(152,1),(188,1),(190,1)}
       174:{1,4,6,7}:{(153,1),(154,1),(186,1),(191,1)}
       175:{1,2,6,7}:{(155,1),(156,1),(159,1),(162,1),(192,1),(207,1),(208,1)}
       176:{1,2,5,6}:{(156,1),(157,1),(160,1),(163,1),(192,1),(193,1),(204,1),(206,1)}
       177:{1,2,4,5}:{(157,1),(158,1),(161,1),(164,1),(193,1),(194,1),(199,1),(202,1),(223,1)}
       178:{3,4}:{(158,1),(194,1)}
       179:{2,3,5,7}:{(159,1),(160,1),(165,1),(170,1),(192,1),(197,1),(205,1),(220,1)}
       180:{2,4,6}:{(160,1),(161,1),(166,1),(197,1),(198,1)}
       181:{3,4,5}:{(161,1),(194,1),(198,1),(199,1)}
       182:{1,3,5,7}:{(162,1),(163,1),(165,1),(167,1),(192,1),(200,1),(203,1),(220,1)}
       183:{1,4,6}:{(163,1),(164,1),(166,1),(200,1),(201,1)}
       184:{3,4,5}:{(164,1),(194,1),(201,1),(202,1)}
       185:{4,7}:{(165,1),(166,1)}
       186:{1,4,5,7}:{(167,1),(168,1),(169,1),(174,1),(200,1),(203,1)}
       187:{3,5,6}:{(168,1),(201,1),(203,1),(204,1)}
       188:{2,4,5,7}:{(170,1),(171,1),(172,1),(173,1),(197,1),(205,1)}
       189:{3,5,6}:{(171,1),(198,1),(205,1),(206,1)}
       190:{3,6,7}:{(173,1),(205,1),(207,1)}
       191:{3,6,7}:{(174,1),(203,1),(208,1)}
       192:{1,2,5,7}:{(175,1),(176,1),(179,1),(182,1),(209,1),(218,1),(219,1)}
       193:{1,2,4,6}:{(176,1),(177,1),(180,1),(183,1),(209,1),(210,1),(215,1),(217,1),(229,1)}
       194:{3,5}:{(177,1),(178,1),(210,1)}
       195:{1,3,4}:{(178,1),(211,1),(213,1)}
       196:{2,3,4}:{(178,1),(212,1),(213,1)}
       197:{2,4,7}:{(179,1),(180,1),(185,1),(214,1)}
       198:{3,4,6}:{(180,1),(181,1),(189,1),(210,1),(214,1),(215,1)}
       199:{1,4,5}:{(181,1),(211,1),(215,1)}
       200:{1,4,7}:{(182,1),(183,1),(185,1),(216,1)}
       201:{3,4,6}:{(183,1),(184,1),(187,1),(210,1),(216,1),(217,1)}
       202:{2,4,5}:{(184,1),(212,1),(217,1)}
       203:{3,5,7}:{(186,1),(187,1),(191,1),(216,1),(218,1)}
       204:{2,5,6}:{(187,1),(217,1),(218,1)}
       205:{3,5,7}:{(188,1),(189,1),(190,1),(214,1),(219,1)}
       206:{1,5,6}:{(189,1),(215,1),(219,1)}
       207:{1,6,7}:{(190,1),(219,1)}
       208:{2,6,7}:{(191,1),(218,1)}
       209:{1,2,4,7}:{(192,1),(193,1),(197,1),(200,1),(220,1),(225,1),(226,1),(230,1)}
       210:{3,6}:{(193,1),(194,1),(220,1)}
       211:{1,3,5}:{(194,1),(195,1),(199,1),(221,1),(223,1)}
       212:{2,3,5}:{(194,1),(196,1),(202,1),(222,1),(223,1)}
       213:{1,2,4}:{(195,1),(196,1),(223,1),(224,1)}
       214:{3,4,7}:{(197,1),(198,1),(205,1),(220,1),(225,1)}
       215:{1,4,6}:{(198,1),(199,1),(206,1),(221,1),(225,1)}
       216:{3,4,7}:{(200,1),(201,1),(203,1),(220,1),(226,1)}
       217:{2,4,6}:{(201,1),(202,1),(204,1),(222,1),(226,1)}
       218:{2,5,7}:{(203,1),(204,1),(208,1),(226,1)}
       219:{1,5,7}:{(205,1),(206,1),(207,1),(225,1)}
       220:{3,7}:{(209,1),(210,1)}
       221:{1,3,6}:{(210,1),(211,1),(215,1),(227,1),(229,1)}
       222:{2,3,6}:{(210,1),(212,1),(217,1),(228,1),(229,1)}
       223:{1,2,5}:{(211,1),(212,1),(213,1),(229,1)}
       224:{1,2,3}:{(213,1)}
       225:{1,4,7}:{(214,1),(215,1),(219,1),(227,1)}
       226:{2,4,7}:{(216,1),(217,1),(218,1),(228,1)}
       227:{1,3,7}:{(220,1),(221,1),(225,1),(230,1)}
       228:{2,3,7}:{(220,1),(222,1),(226,1),(230,1)}
       229:{1,2,6}:{(221,1),(222,1),(223,1),(230,1)}
       230:{1,2,7}:{(227,1),(228,1),(229,1)}

1543 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(16,1),(17,1),(20,1),(21,1),(38,1),(71,1),(95,1),(96,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(114,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(18,1),(19,1),(20,1),(127,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(15,1),(71,1),(97,1),(126,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(26,1),(27,1),(28,1)}
         5:{3,5,7}:{(2,1),(3,1),(9,1),(135,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(58,1),(62,1),(87,1),(92,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(58,1),(62,1),(86,1),(91,1),(111,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(36,1),(37,1),(38,1),(65,1),(106,1)}
         9:{3,5,6}:{(4,1),(5,1),(15,1)}
        10:{3,4,5,7}:{(5,1),(15,1),(18,1),(19,1),(45,1),(97,1),(101,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1),(45,1),(109,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(45,1),(108,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(41,1),(46,1),(107,1)}
        14:{3,5,6,7}:{(8,1),(9,1),(23,1),(82,1),(120,1)}
        15:{3,4,6}:{(9,1),(10,1),(26,1),(27,1),(58,1)}
        16:{1,3,5,6}:{(9,1),(11,1),(26,1),(28,1),(58,1)}
        17:{2,3,5,6}:{(9,1),(12,1),(27,1),(28,1),(58,1)}
        18:{1,4,5,7}:{(10,1),(11,1),(26,1),(112,1),(116,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(27,1),(111,1),(115,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(28,1),(121,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(58,1),(86,1),(87,1),(90,1)}
        22:{3,4,5,6}:{(15,1),(33,1),(34,1),(35,1),(68,1),(101,1),(125,1)}
        23:{3,4,6,7}:{(14,1),(15,1),(33,1),(36,1),(37,1),(71,1),(97,1),(125,1)}
        24:{1,3,5,6,7}:{(14,1),(16,1),(36,1),(38,1),(63,1),(71,1),(96,1),(130,1)}
        25:{2,3,5,6,7}:{(14,1),(17,1),(37,1),(38,1),(64,1),(71,1),(95,1),(129,1)}
        26:{1,4,6}:{(15,1),(16,1),(18,1)}
        27:{2,4,6}:{(15,1),(17,1),(19,1)}
        28:{1,2,5,6}:{(16,1),(17,1),(20,1),(41,1)}
        29:{1,3,4,5,7}:{(18,1),(39,1),(43,1),(45,1),(63,1),(79,1),(97,1),(101,1),(109,1),(124,1),(137,1)}
        30:{2,3,4,5,7}:{(19,1),(40,1),(44,1),(45,1),(64,1),(78,1),(97,1),(101,1),(108,1),(123,1),(137,1)}
        31:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(41,1),(45,1),(46,1),(76,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(42,1),(45,1),(46,1),(95,1),(96,1)}
        33:{3,4,5,7}:{(22,1),(23,1),(47,1),(48,1),(82,1)}
        34:{1,4,5,6}:{(22,1),(26,1),(47,1),(49,1),(116,1),(134,1)}
        35:{2,4,5,6}:{(22,1),(27,1),(48,1),(50,1),(115,1),(133,1)}
        36:{1,4,6,7}:{(23,1),(24,1),(26,1),(47,1),(112,1),(134,1)}
        37:{2,4,6,7}:{(23,1),(25,1),(27,1),(48,1),(111,1),(133,1)}
        38:{1,2,5,6,7}:{(24,1),(25,1),(28,1),(54,1),(80,1),(81,1),(136,1)}
        39:{1,3,4,6}:{(26,1),(29,1),(49,1),(56,1),(58,1),(85,1),(134,1),(139,1)}
        40:{2,3,4,6}:{(27,1),(30,1),(50,1),(57,1),(58,1),(85,1),(133,1),(139,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(58,1)}
        42:{1,2,3,5,6}:{(28,1),(32,1),(58,1),(59,1),(83,1),(84,1),(90,1),(93,1),(121,1)}
        43:{1,2,4,5,7}:{(29,1),(56,1),(60,1),(80,1),(94,1),(111,1),(115,1),(121,1)}
        44:{1,2,4,5,7}:{(30,1),(57,1),(61,1),(81,1),(94,1),(112,1),(116,1),(121,1)}
        45:{3,5,7}:{(31,1),(58,1),(62,1),(93,1)}
        46:{1,2,4,7}:{(32,1),(59,1),(62,1),(111,1),(112,1)}
        47:{1,4,5,7}:{(33,1),(34,1),(36,1),(63,1)}
        48:{2,4,5,7}:{(33,1),(35,1),(37,1),(64,1)}
        49:{1,3,5,6}:{(34,1),(39,1),(63,1),(66,1),(68,1),(109,1)}
        50:{2,3,5,6}:{(35,1),(40,1),(64,1),(67,1),(68,1),(108,1)}
        51:{1,2,4,5,6}:{(34,1),(35,1),(41,1),(65,1),(66,1),(67,1),(68,1),(76,1),(99,1),(100,1),(127,1),(138,1)}
        52:{1,3,4,6,7}:{(36,1),(39,1),(63,1),(69,1),(71,1),(97,1)}
        53:{2,3,4,6,7}:{(37,1),(40,1),(64,1),(70,1),(71,1),(97,1)}
        54:{1,2,4,6,7}:{(36,1),(37,1),(38,1),(41,1),(65,1),(71,1),(138,1)}
        55:{1,2,3,5,6,7}:{(38,1),(42,1),(71,1),(72,1),(95,1),(96,1),(102,1),(105,1),(128,1),(129,1),(130,1)}
        56:{1,2,4,6}:{(39,1),(43,1),(66,1),(73,1),(99,1)}
        57:{1,2,4,6}:{(40,1),(44,1),(67,1),(74,1),(100,1)}
        58:{3,6}:{(41,1),(45,1)}
        59:{1,2,4,6}:{(42,1),(46,1),(75,1),(76,1),(99,1),(100,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(73,1),(78,1),(108,1),(137,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(74,1),(79,1),(109,1),(137,1)}
        62:{3,4,7}:{(45,1),(46,1),(75,1)}
        63:{1,3,5,7}:{(47,1),(49,1),(52,1),(80,1),(82,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(53,1),(81,1),(82,1)}
        65:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(54,1),(80,1),(81,1),(82,1),(111,1),(112,1)}
        66:{1,2,5,6}:{(49,1),(56,1),(80,1),(83,1),(121,1)}
        67:{1,2,5,6}:{(50,1),(57,1),(81,1),(84,1),(121,1)}
        68:{3,5,6}:{(51,1),(58,1),(82,1),(85,1),(93,1),(135,1),(139,1)}
        69:{1,2,4,6,7}:{(52,1),(56,1),(80,1),(86,1),(111,1)}
        70:{1,2,4,6,7}:{(53,1),(57,1),(81,1),(87,1),(112,1)}
        71:{3,6,7}:{(54,1),(58,1),(82,1),(139,1)}
        72:{1,2,4,6,7}:{(55,1),(59,1),(88,1),(89,1),(111,1),(112,1),(133,1),(134,1)}
        73:{2,3,6}:{(56,1),(58,1),(60,1),(139,1)}
        74:{1,3,6}:{(57,1),(58,1),(61,1),(139,1)}
        75:{3,4,6}:{(58,1),(59,1),(62,1),(93,1)}
        76:{1,2,4,5}:{(59,1),(93,1),(115,1),(116,1),(121,1)}
        77:{1,2,3,5,7}:{(60,1),(61,1),(90,1),(94,1),(121,1)}
        78:{2,3,4,7}:{(60,1),(62,1),(91,1),(94,1),(111,1),(131,1)}
        79:{1,3,4,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(131,1)}
        80:{1,2,5,7}:{(63,1),(66,1),(69,1),(95,1)}
        81:{1,2,5,7}:{(64,1),(67,1),(70,1),(96,1)}
        82:{3,5,7}:{(65,1),(68,1),(71,1),(97,1)}
        83:{2,3,5,6}:{(66,1),(68,1),(73,1),(95,1),(99,1),(108,1)}
        84:{1,3,5,6}:{(67,1),(68,1),(74,1),(96,1),(100,1),(109,1)}
        85:{3,4,6}:{(68,1),(97,1),(99,1),(100,1),(101,1)}
        86:{2,3,6,7}:{(69,1),(71,1),(73,1),(95,1)}
        87:{1,3,6,7}:{(70,1),(71,1),(74,1),(96,1)}
        88:{3,4,6,7}:{(71,1),(72,1),(75,1),(97,1),(105,1),(125,1)}
        89:{1,2,4,5,7}:{(72,1),(76,1),(105,1),(106,1),(123,1),(124,1),(128,1)}
        90:{1,2,3,6}:{(73,1),(74,1),(77,1),(107,1)}
        91:{2,3,4,6}:{(73,1),(75,1),(78,1),(99,1),(107,1),(108,1),(126,1)}
        92:{1,3,4,6}:{(74,1),(75,1),(79,1),(100,1),(107,1),(109,1),(126,1)}
        93:{3,5}:{(75,1),(76,1)}
        94:{1,2,4,7}:{(77,1),(78,1),(79,1),(107,1)}
        95:{2,3,5,7}:{(80,1),(82,1),(83,1),(86,1),(111,1)}
        96:{1,3,5,7}:{(81,1),(82,1),(84,1),(87,1),(112,1)}
        97:{3,4,7}:{(82,1),(85,1),(111,1),(112,1)}
        98:{1,2,3,5,6}:{(83,1),(84,1),(90,1),(110,1),(114,1),(121,1),(135,1),(136,1),(139,1)}
        99:{2,4,6}:{(83,1),(85,1),(111,1),(115,1)}
       100:{1,4,6}:{(84,1),(85,1),(112,1),(116,1)}
       101:{3,4,5}:{(85,1),(93,1),(115,1),(116,1),(135,1)}
       102:{1,2,3,6,7}:{(86,1),(87,1),(90,1),(110,1),(117,1),(139,1)}
       103:{2,3,4,6,7}:{(86,1),(88,1),(91,1),(111,1),(117,1),(118,1),(131,1),(133,1),(139,1)}
       104:{1,3,4,6,7}:{(87,1),(88,1),(92,1),(112,1),(117,1),(119,1),(131,1),(134,1),(139,1)}
       105:{3,5,7}:{(88,1),(89,1),(93,1),(120,1)}
       106:{1,2,4,5,6}:{(89,1),(120,1),(133,1),(134,1),(136,1)}
       107:{1,2,4,6}:{(90,1),(91,1),(92,1),(94,1),(121,1)}
       108:{2,3,5}:{(91,1),(93,1),(115,1),(121,1),(135,1)}
       109:{1,3,5}:{(92,1),(93,1),(116,1),(121,1),(135,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(102,1),(122,1),(128,1),(137,1)}
       111:{2,4,7}:{(95,1),(97,1),(99,1)}
       112:{1,4,7}:{(96,1),(97,1),(100,1)}
       113:{3,4,5,7}:{(97,1),(101,1),(105,1),(123,1),(124,1),(125,1),(137,1)}
       114:{1,2,4,6}:{(98,1),(99,1),(100,1),(122,1),(126,1),(127,1)}
       115:{2,4,5}:{(99,1),(101,1),(108,1)}
       116:{1,4,5}:{(100,1),(101,1),(109,1)}
       117:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(107,1),(122,1),(128,1),(138,1)}
       118:{2,3,5,7}:{(103,1),(105,1),(108,1),(123,1),(128,1),(129,1),(137,1)}
       119:{1,3,5,7}:{(104,1),(105,1),(109,1),(124,1),(128,1),(130,1),(137,1)}
       120:{3,5,6}:{(105,1),(106,1),(125,1)}
       121:{1,2,5}:{(107,1),(108,1),(109,1)}
       122:{1,2,4,7}:{(110,1),(111,1),(112,1),(114,1),(131,1)}
       123:{2,4,5,7}:{(111,1),(113,1),(115,1),(118,1),(133,1)}
       124:{1,4,5,7}:{(112,1),(113,1),(116,1),(119,1),(134,1)}
       125:{3,4,6}:{(113,1),(120,1),(133,1),(134,1),(139,1)}
       126:{3,4,6}:{(114,1),(131,1),(135,1),(139,1)}
       127:{1,2,4,5}:{(114,1),(115,1),(116,1),(121,1),(135,1)}
       128:{1,2,5,7}:{(117,1),(118,1),(119,1),(121,1),(136,1)}
       129:{2,3,5,6}:{(118,1),(120,1),(133,1),(136,1),(139,1)}
       130:{1,3,5,6}:{(119,1),(120,1),(134,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(126,1),(137,1)}
       132:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(127,1),(128,1),(137,1),(138,1)}
       133:{2,4,6}:{(123,1),(125,1),(129,1)}
       134:{1,4,6}:{(124,1),(125,1),(130,1)}
       135:{3,5}:{(126,1),(127,1)}
       136:{1,2,5,6}:{(128,1),(129,1),(130,1),(138,1)}
       137:{3,5,7}:{(131,1),(132,1),(135,1),(139,1)}
       138:{1,2,4,6}:{(132,1),(133,1),(134,1),(136,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1544 :   0:{1,2,3,6,7}:{(2,1),(3,1),(45,1),(82,1),(83,1),(84,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(13,1),(14,1),(17,1),(45,1),(47,1),(48,1),(49,1),(82,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(23,1),(26,1),(63,1),(68,1),(69,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(27,1),(93,1),(94,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(60,1),(61,1)}
         5:{3,4,6,7}:{(3,1),(10,1),(11,1),(36,1),(45,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(11,1),(80,1),(81,1)}
         7:{1,2,5,7}:{(3,1),(10,1),(13,1),(100,1),(101,1)}
         8:{3,4,6}:{(4,1),(11,1),(17,1),(45,1)}
         9:{1,2,4,5}:{(4,1),(17,1),(39,1),(40,1),(47,1)}
        10:{3,5,7}:{(5,1),(7,1),(19,1),(20,1)}
        11:{3,4,7}:{(6,1),(8,1),(26,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(19,1),(26,1),(27,1),(54,1),(55,1),(63,1)}
        13:{1,2,5,6}:{(7,1),(20,1),(27,1),(88,1),(89,1)}
        14:{1,2,3,6}:{(21,1),(23,1),(29,1),(95,1)}
        15:{2,3,4,6}:{(8,1),(24,1),(29,1),(30,1),(58,1),(60,1),(64,1),(86,1),(95,1)}
        16:{1,3,4,6}:{(8,1),(25,1),(29,1),(31,1),(58,1),(61,1),(65,1),(86,1),(95,1)}
        17:{3,5}:{(8,1),(9,1)}
        18:{1,2,4,5,6}:{(9,1),(27,1),(32,1),(33,1),(52,1),(60,1),(61,1),(67,1),(88,1),(89,1)}
        19:{4,5,7}:{(10,1),(36,1)}
        20:{3,5,6}:{(10,1),(13,1),(36,1),(45,1)}
        21:{1,2,3,5}:{(14,1),(38,1),(47,1),(78,1)}
        22:{3,4,5}:{(17,1),(39,1),(40,1),(41,1),(78,1)}
        23:{1,2,3,7}:{(14,1),(42,1),(104,1)}
        24:{2,3,4,7}:{(11,1),(15,1),(42,1),(43,1),(73,1),(80,1),(104,1)}
        25:{1,3,4,7}:{(11,1),(16,1),(42,1),(44,1),(73,1),(81,1),(104,1)}
        26:{3,5,7}:{(11,1),(12,1),(17,1),(45,1)}
        27:{1,2,4,6}:{(12,1),(13,1),(36,1),(45,1),(75,1),(76,1),(82,1)}
        28:{1,2,5,6,7}:{(13,1),(37,1),(46,1),(100,1),(101,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(16,1),(38,1),(42,1),(47,1),(82,1)}
        30:{2,3,5}:{(15,1),(17,1),(39,1),(47,1),(78,1),(98,1)}
        31:{1,3,5}:{(16,1),(17,1),(40,1),(47,1),(78,1),(98,1)}
        32:{3,5,6}:{(17,1),(18,1),(41,1),(45,1),(50,1)}
        33:{1,2,4,5,7}:{(18,1),(46,1),(50,1),(72,1),(80,1),(81,1),(85,1),(100,1),(101,1)}
        34:{1,2,3,5,7}:{(21,1),(23,1),(51,1),(53,1),(63,1),(87,1),(91,1)}
        35:{3,4,5,7}:{(19,1),(22,1),(26,1),(54,1),(55,1),(56,1),(62,1),(90,1),(91,1),(105,1),(111,1)}
        36:{4,6}:{(19,1),(20,1)}
        37:{3,5,6,7}:{(20,1),(28,1),(57,1),(66,1),(90,1)}
        38:{1,2,4}:{(21,1),(58,1)}
        39:{2,4,5}:{(22,1),(30,1),(60,1),(105,1)}
        40:{1,4,5}:{(22,1),(31,1),(61,1),(105,1)}
        41:{3,4,6}:{(22,1),(32,1),(60,1),(61,1),(62,1),(95,1)}
        42:{1,2,4,7}:{(23,1),(24,1),(25,1),(29,1),(63,1)}
        43:{2,3,5,7}:{(24,1),(26,1),(30,1),(54,1),(63,1),(64,1),(91,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(31,1),(55,1),(63,1),(65,1),(91,1)}
        45:{3,6}:{(26,1),(27,1)}
        46:{1,2,4,6,7}:{(27,1),(28,1),(33,1),(57,1),(66,1),(93,1),(94,1),(97,1)}
        47:{1,2,5}:{(29,1),(30,1),(31,1)}
        48:{2,3,5,6}:{(30,1),(32,1),(60,1),(64,1),(67,1),(68,1),(88,1),(95,1),(106,1)}
        49:{1,3,5,6}:{(31,1),(32,1),(61,1),(65,1),(67,1),(69,1),(89,1),(95,1),(106,1)}
        50:{3,5,7}:{(32,1),(33,1),(62,1),(66,1)}
        51:{1,2,3,6}:{(34,1),(70,1),(82,1),(102,1)}
        52:{4,5,6}:{(36,1),(71,1),(72,1),(109,1)}
        53:{1,2,4,7}:{(34,1),(38,1),(70,1),(73,1)}
        54:{2,4,5,7}:{(35,1),(39,1),(43,1),(75,1),(80,1),(100,1)}
        55:{1,4,5,7}:{(35,1),(40,1),(44,1),(76,1),(81,1),(101,1)}
        56:{3,4,6}:{(35,1),(36,1),(45,1),(71,1),(75,1),(76,1),(102,1),(109,1)}
        57:{4,6,7}:{(36,1),(37,1),(72,1)}
        58:{3,4}:{(38,1),(78,1)}
        59:{1,2,4,5}:{(38,1),(39,1),(40,1),(47,1),(78,1),(79,1)}
        60:{2,4,6}:{(39,1),(41,1),(48,1),(80,1),(109,1)}
        61:{1,4,6}:{(40,1),(41,1),(49,1),(81,1),(109,1)}
        62:{3,4,7}:{(41,1),(50,1),(80,1),(81,1),(104,1)}
        63:{1,2,5,7}:{(42,1),(43,1),(44,1),(47,1),(82,1)}
        64:{2,3,6}:{(43,1),(45,1),(75,1),(82,1),(102,1)}
        65:{1,3,6}:{(44,1),(45,1),(76,1),(82,1),(102,1)}
        66:{3,6,7}:{(45,1),(46,1),(50,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(49,1),(79,1),(82,1),(85,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(80,1),(83,1),(85,1),(100,1),(104,1),(110,1)}
        69:{1,3,5,7}:{(49,1),(50,1),(81,1),(84,1),(85,1),(101,1),(104,1),(110,1)}
        70:{1,2,4,6}:{(51,1),(53,1),(86,1),(87,1)}
        71:{3,5,6}:{(52,1),(56,1),(88,1),(89,1),(90,1)}
        72:{4,5,7}:{(52,1),(57,1),(90,1),(111,1)}
        73:{3,4,7}:{(53,1),(58,1),(86,1),(91,1),(111,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(59,1),(63,1),(87,1),(91,1),(92,1),(96,1),(105,1),(107,1),(111,1)}
        75:{2,4,6}:{(54,1),(56,1),(64,1),(88,1)}
        76:{1,4,6}:{(55,1),(56,1),(65,1),(89,1)}
        77:{3,4,6,7}:{(56,1),(57,1),(62,1),(66,1),(90,1),(93,1),(94,1),(108,1),(111,1)}
        78:{3,5}:{(58,1),(59,1),(95,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(67,1),(95,1),(96,1)}
        80:{2,4,7}:{(60,1),(62,1),(68,1),(111,1)}
        81:{1,4,7}:{(61,1),(62,1),(69,1),(111,1)}
        82:{1,2,6}:{(63,1),(64,1),(65,1)}
        83:{2,3,6,7}:{(64,1),(66,1),(68,1),(93,1),(97,1),(108,1)}
        84:{1,3,6,7}:{(65,1),(66,1),(69,1),(94,1),(97,1),(108,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(96,1),(97,1)}
        86:{3,4,6}:{(70,1),(73,1),(98,1),(102,1),(109,1)}
        87:{1,2,5}:{(70,1),(98,1)}
        88:{2,5,6}:{(71,1),(75,1),(100,1)}
        89:{1,5,6}:{(71,1),(76,1),(101,1)}
        90:{3,5,7}:{(71,1),(72,1),(77,1),(100,1),(101,1)}
        91:{3,5,7}:{(73,1),(74,1),(78,1),(98,1),(102,1),(104,1)}
        92:{1,2,4,6}:{(74,1),(75,1),(76,1),(82,1),(99,1),(102,1),(109,1)}
        93:{2,4,6,7}:{(75,1),(77,1),(80,1),(83,1),(100,1)}
        94:{1,4,6,7}:{(76,1),(77,1),(81,1),(84,1),(101,1)}
        95:{3,6}:{(78,1),(79,1),(104,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(85,1),(104,1)}
        97:{1,2,6,7}:{(82,1),(83,1),(84,1),(85,1)}
        98:{3,5}:{(86,1),(87,1),(105,1)}
        99:{1,2,5,6}:{(87,1),(88,1),(89,1),(92,1),(106,1),(107,1)}
       100:{2,5,7}:{(88,1),(90,1),(93,1)}
       101:{1,5,7}:{(89,1),(90,1),(94,1)}
       102:{3,6}:{(91,1),(92,1)}
       103:{1,2,4,6,7}:{(92,1),(93,1),(94,1),(96,1),(97,1),(107,1),(108,1),(111,1)}
       104:{3,7}:{(95,1),(96,1)}
       105:{4,5}:{(98,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(102,1),(109,1),(110,1)}
       107:{1,2,5,7}:{(99,1),(100,1),(101,1),(103,1),(110,1)}
       108:{3,6,7}:{(102,1),(103,1),(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1545 :   0:{2,3,4,5,7}:{(2,1),(3,1),(21,1),(36,1),(91,1),(137,1),(141,1),(147,1),(178,1),(186,1)}
         1:{1,3,4,5,7}:{(4,1),(5,1),(27,1),(30,1),(80,1),(138,1),(146,1),(150,1),(178,1),(191,1)}
         2:{2,3,4,6}:{(0,1),(9,1),(10,1),(110,1),(173,1),(196,1),(200,1)}
         3:{1,2,4,5,7}:{(0,1),(10,1),(11,1),(38,1),(46,1),(99,1),(107,1),(111,1)}
         4:{1,3,4,6}:{(1,1),(15,1),(16,1),(120,1),(166,1),(196,1),(203,1)}
         5:{1,2,4,5,7}:{(1,1),(16,1),(17,1),(38,1),(57,1),(99,1),(117,1),(121,1)}
         6:{2,4,5,6,7}:{(19,1),(71,1),(190,1)}
         7:{2,3,4,6,7}:{(2,1),(21,1),(22,1),(71,1),(134,1),(137,1),(183,1)}
         8:{3,4,5,6}:{(20,1),(23,1),(24,1),(78,1),(150,1),(192,1)}
         9:{2,3,5,6}:{(2,1),(21,1),(24,1),(25,1),(78,1),(91,1),(207,1)}
        10:{1,2,4,6}:{(2,1),(3,1),(25,1),(26,1),(79,1)}
        11:{1,3,5,7}:{(3,1),(26,1),(27,1),(80,1),(178,1)}
        12:{1,4,5,6,7}:{(28,1),(81,1),(185,1)}
        13:{1,3,4,6,7}:{(4,1),(30,1),(31,1),(81,1),(143,1),(146,1),(188,1)}
        14:{3,4,5,6}:{(29,1),(32,1),(33,1),(89,1),(141,1),(187,1)}
        15:{1,3,5,6}:{(4,1),(30,1),(32,1),(34,1),(80,1),(89,1),(208,1)}
        16:{1,2,4,6}:{(4,1),(5,1),(34,1),(35,1),(90,1)}
        17:{2,3,5,7}:{(5,1),(35,1),(36,1),(91,1),(178,1)}
        18:{1,2,3,5,7}:{(11,1),(17,1),(37,1),(38,1),(99,1)}
        19:{3,5,6,7}:{(6,1),(41,1),(42,1),(202,1)}
        20:{3,4,5,7}:{(8,1),(41,1),(44,1),(45,1),(106,1)}
        21:{2,3,5,7}:{(7,1),(9,1),(45,1),(46,1),(106,1),(198,1)}
        22:{1,2,4,6,7}:{(7,1),(10,1),(46,1),(47,1),(107,1)}
        23:{1,4,5,6}:{(8,1),(44,1),(48,1),(174,1),(203,1)}
        24:{2,4,5,6}:{(8,1),(9,1),(45,1),(121,1),(173,1)}
        25:{1,2,5,6}:{(9,1),(10,1),(46,1),(50,1),(99,1)}
        26:{1,3,6}:{(10,1),(11,1),(196,1)}
        27:{1,3,4,7}:{(11,1),(38,1),(51,1),(107,1),(153,1)}
        28:{3,5,6,7}:{(12,1),(52,1),(54,1),(199,1)}
        29:{3,4,5,7}:{(14,1),(52,1),(55,1),(56,1),(116,1)}
        30:{1,3,5,7}:{(13,1),(15,1),(55,1),(57,1),(116,1),(201,1)}
        31:{1,2,4,6,7}:{(13,1),(16,1),(57,1),(58,1),(117,1)}
        32:{1,4,5,6}:{(14,1),(15,1),(55,1),(111,1),(166,1)}
        33:{2,4,5,6}:{(14,1),(56,1),(59,1),(167,1),(200,1)}
        34:{1,2,5,6}:{(15,1),(16,1),(57,1),(61,1),(99,1)}
        35:{2,3,6}:{(16,1),(17,1),(196,1)}
        36:{2,3,4,7}:{(17,1),(38,1),(62,1),(117,1),(153,1)}
        37:{1,2,3,6}:{(18,1),(26,1),(35,1),(67,1)}
        38:{1,2,4,7}:{(18,1),(27,1),(36,1),(67,1)}
        39:{1,3,4,5}:{(64,1),(68,1),(132,1),(141,1),(182,1)}
        40:{2,3,4,5}:{(65,1),(69,1),(131,1),(150,1),(181,1)}
        41:{3,4,6,7}:{(19,1),(20,1),(70,1),(71,1),(134,1),(192,1)}
        42:{1,5,6,7}:{(19,1),(70,1),(208,1)}
        43:{2,3,5,6,7}:{(19,1),(21,1),(71,1),(72,1),(134,1),(148,1)}
        44:{1,4,5,7}:{(20,1),(23,1),(70,1),(73,1)}
        45:{2,4,5,7}:{(20,1),(21,1),(24,1),(71,1)}
        46:{1,2,5,7}:{(21,1),(22,1),(25,1),(75,1)}
        47:{1,3,6,7}:{(22,1),(26,1),(75,1),(134,1)}
        48:{1,3,5,6}:{(23,1),(64,1),(73,1),(77,1),(78,1),(182,1),(206,1)}
        49:{1,2,4,5,6}:{(23,1),(24,1),(25,1),(74,1),(77,1),(78,1),(79,1),(129,1),(140,1),(179,1),(185,1),(207,1)}
        50:{1,3,5,6}:{(25,1),(26,1),(75,1),(78,1),(79,1),(80,1)}
        51:{1,3,4,6}:{(26,1),(27,1),(67,1),(79,1),(80,1),(128,1)}
        52:{3,4,6,7}:{(28,1),(29,1),(81,1),(82,1),(143,1),(187,1)}
        53:{1,3,5,6,7}:{(28,1),(30,1),(81,1),(83,1),(139,1),(143,1)}
        54:{2,5,6,7}:{(28,1),(82,1),(207,1)}
        55:{1,4,5,7}:{(29,1),(30,1),(32,1),(81,1)}
        56:{2,4,5,7}:{(29,1),(33,1),(82,1),(84,1)}
        57:{1,2,5,7}:{(30,1),(31,1),(34,1),(86,1)}
        58:{2,3,6,7}:{(31,1),(35,1),(86,1),(143,1)}
        59:{2,3,5,6}:{(33,1),(65,1),(84,1),(88,1),(89,1),(181,1),(205,1)}
        60:{1,2,4,5,6}:{(32,1),(33,1),(34,1),(85,1),(88,1),(89,1),(90,1),(129,1),(149,1),(179,1),(190,1),(208,1)}
        61:{2,3,5,6}:{(34,1),(35,1),(86,1),(89,1),(90,1),(91,1)}
        62:{2,3,4,6}:{(35,1),(36,1),(67,1),(90,1),(91,1),(128,1)}
        63:{1,2,3,6,7}:{(37,1),(47,1),(58,1),(94,1),(95,1),(161,1),(168,1),(196,1),(209,1)}
        64:{1,3,4,6}:{(39,1),(48,1),(92,1),(96,1),(110,1)}
        65:{2,3,4,6}:{(40,1),(59,1),(93,1),(97,1),(120,1)}
        66:{1,2,3,5,6}:{(37,1),(50,1),(61,1),(94,1),(98,1),(99,1),(109,1),(119,1),(155,1),(156,1),(159,1),(196,1),(197,1),(209,1)}
        67:{1,2,4,6}:{(37,1),(38,1),(51,1),(62,1),(99,1)}
        68:{1,2,4,5}:{(39,1),(96,1),(100,1),(160,1),(167,1),(197,1)}
        69:{1,2,4,5}:{(40,1),(97,1),(101,1),(160,1),(174,1),(197,1)}
        70:{1,4,6,7}:{(41,1),(42,1),(44,1),(102,1),(203,1)}
        71:{2,4,6,7}:{(41,1),(43,1),(45,1),(173,1)}
        72:{1,2,5,6,7}:{(42,1),(43,1),(46,1),(103,1),(104,1),(155,1),(198,1)}
        73:{1,3,5,7}:{(44,1),(48,1),(92,1),(102,1),(105,1),(106,1)}
        74:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(49,1),(103,1),(105,1),(106,1),(107,1),(163,1),(164,1),(198,1)}
        75:{1,3,5,7}:{(46,1),(47,1),(50,1),(106,1),(107,1)}
        76:{1,3,4,6,7}:{(47,1),(51,1),(95,1),(107,1),(108,1),(153,1),(162,1),(166,1),(196,1)}
        77:{1,2,5,6}:{(48,1),(96,1),(105,1),(109,1),(197,1),(209,1)}
        78:{3,5,6}:{(49,1),(106,1),(110,1),(159,1),(196,1)}
        79:{1,4,6}:{(50,1),(107,1),(110,1),(111,1)}
        80:{1,3,5}:{(51,1),(99,1),(111,1),(159,1)}
        81:{1,4,6,7}:{(52,1),(53,1),(55,1),(166,1)}
        82:{2,4,6,7}:{(52,1),(54,1),(56,1),(112,1),(200,1)}
        83:{1,2,5,6,7}:{(53,1),(54,1),(57,1),(113,1),(114,1),(155,1),(201,1)}
        84:{2,3,5,7}:{(56,1),(59,1),(93,1),(112,1),(115,1),(116,1)}
        85:{1,2,4,5,7}:{(55,1),(56,1),(57,1),(60,1),(113,1),(115,1),(116,1),(117,1),(170,1),(171,1),(201,1)}
        86:{2,3,5,7}:{(57,1),(58,1),(61,1),(116,1),(117,1)}
        87:{2,3,4,6,7}:{(58,1),(62,1),(95,1),(117,1),(118,1),(153,1),(169,1),(173,1),(196,1)}
        88:{1,2,5,6}:{(59,1),(97,1),(115,1),(119,1),(197,1),(209,1)}
        89:{3,5,6}:{(60,1),(116,1),(120,1),(159,1),(196,1)}
        90:{2,4,6}:{(61,1),(117,1),(120,1),(121,1)}
        91:{2,3,5}:{(62,1),(99,1),(121,1),(159,1)}
        92:{1,3,4,7}:{(64,1),(73,1),(122,1),(137,1)}
        93:{2,3,4,7}:{(65,1),(84,1),(123,1),(146,1)}
        94:{1,2,3,5,7}:{(63,1),(66,1),(75,1),(86,1),(124,1),(125,1),(136,1),(145,1),(175,1),(178,1),(204,1)}
        95:{1,2,4,6,7}:{(63,1),(67,1),(76,1),(87,1),(124,1),(125,1),(179,1),(183,1),(188,1)}
        96:{1,2,4,6}:{(64,1),(68,1),(77,1),(122,1),(126,1),(140,1)}
        97:{1,2,4,6}:{(65,1),(69,1),(88,1),(123,1),(127,1),(149,1)}
        98:{1,2,4,6}:{(66,1),(79,1),(90,1),(124,1),(128,1),(129,1),(140,1),(149,1)}
        99:{1,2,5}:{(67,1),(80,1),(91,1)}
       100:{2,3,5}:{(68,1),(126,1),(131,1)}
       101:{1,3,5}:{(69,1),(127,1),(132,1)}
       102:{1,3,6,7}:{(70,1),(73,1),(133,1),(134,1),(206,1)}
       103:{1,2,4,6,7}:{(70,1),(71,1),(72,1),(74,1),(133,1),(134,1),(135,1),(179,1),(183,1)}
       104:{1,3,5,6,7}:{(72,1),(75,1),(134,1),(135,1),(139,1),(184,1)}
       105:{1,2,5,7}:{(73,1),(77,1),(122,1),(133,1),(136,1)}
       106:{3,5,7}:{(74,1),(78,1),(134,1),(137,1)}
       107:{1,4,7}:{(75,1),(79,1),(137,1)}
       108:{1,3,5,7}:{(76,1),(80,1),(125,1),(138,1),(139,1),(178,1),(184,1)}
       109:{2,3,5,6}:{(77,1),(78,1),(126,1),(136,1),(140,1),(181,1),(205,1),(207,1)}
       110:{3,4,6}:{(78,1),(79,1),(137,1),(140,1),(141,1)}
       111:{1,4,5}:{(79,1),(80,1),(141,1)}
       112:{2,3,6,7}:{(82,1),(84,1),(142,1),(143,1),(205,1)}
       113:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(85,1),(142,1),(143,1),(144,1),(179,1),(188,1)}
       114:{2,3,5,6,7}:{(83,1),(86,1),(143,1),(144,1),(148,1),(189,1)}
       115:{1,2,5,7}:{(84,1),(88,1),(123,1),(142,1),(145,1)}
       116:{3,5,7}:{(85,1),(89,1),(143,1),(146,1)}
       117:{2,4,7}:{(86,1),(90,1),(146,1)}
       118:{2,3,5,7}:{(87,1),(91,1),(125,1),(147,1),(148,1),(178,1),(189,1)}
       119:{1,3,5,6}:{(88,1),(89,1),(127,1),(145,1),(149,1),(182,1),(206,1),(208,1)}
       120:{3,4,6}:{(89,1),(90,1),(146,1),(149,1),(150,1)}
       121:{2,4,5}:{(90,1),(91,1),(150,1)}
       122:{1,2,4,7}:{(92,1),(96,1),(105,1),(151,1),(164,1)}
       123:{1,2,4,7}:{(93,1),(97,1),(115,1),(152,1),(171,1)}
       124:{1,2,4,7}:{(94,1),(98,1),(107,1),(117,1),(153,1),(164,1),(171,1)}
       125:{1,2,5,7}:{(95,1),(99,1),(108,1),(118,1),(155,1),(198,1),(201,1)}
       126:{2,3,6}:{(96,1),(100,1),(151,1)}
       127:{1,3,6}:{(97,1),(101,1),(152,1)}
       128:{3,4,6}:{(98,1),(153,1),(159,1),(196,1)}
       129:{1,2,4,5}:{(98,1),(99,1),(111,1),(121,1),(159,1),(167,1),(174,1),(197,1)}
       130:{1,2,3,5}:{(100,1),(101,1),(156,1),(160,1),(197,1)}
       131:{2,3,4}:{(100,1),(160,1)}
       132:{1,3,4}:{(101,1),(160,1)}
       133:{1,2,6,7}:{(102,1),(105,1),(161,1),(209,1)}
       134:{3,6,7}:{(103,1),(106,1),(196,1)}
       135:{1,4,6,7}:{(104,1),(107,1),(162,1),(163,1),(166,1)}
       136:{2,3,5,7}:{(105,1),(106,1),(109,1),(151,1),(161,1),(164,1),(198,1)}
       137:{3,4,7}:{(106,1),(107,1),(110,1),(164,1)}
       138:{1,4,5,7}:{(107,1),(108,1),(111,1),(165,1),(166,1)}
       139:{1,3,5,6}:{(108,1),(155,1),(166,1),(196,1),(199,1)}
       140:{2,4,6}:{(109,1),(110,1),(164,1),(167,1)}
       141:{3,4,5}:{(110,1),(111,1),(159,1),(167,1)}
       142:{1,2,6,7}:{(112,1),(115,1),(168,1),(209,1)}
       143:{3,6,7}:{(113,1),(116,1),(196,1)}
       144:{2,4,6,7}:{(114,1),(117,1),(169,1),(170,1),(173,1)}
       145:{1,3,5,7}:{(115,1),(116,1),(119,1),(152,1),(168,1),(171,1),(201,1)}
       146:{3,4,7}:{(116,1),(117,1),(120,1),(171,1)}
       147:{2,4,5,7}:{(117,1),(118,1),(121,1),(172,1),(173,1)}
       148:{2,3,5,6}:{(118,1),(155,1),(173,1),(196,1),(202,1)}
       149:{1,4,6}:{(119,1),(120,1),(171,1),(174,1)}
       150:{3,4,5}:{(120,1),(121,1),(159,1),(174,1)}
       151:{2,3,7}:{(122,1),(126,1)}
       152:{1,3,7}:{(123,1),(127,1)}
       153:{3,4,7}:{(124,1),(128,1),(178,1)}
       154:{1,2,4,5,7}:{(124,1),(125,1),(129,1),(138,1),(147,1),(178,1),(179,1),(186,1),(191,1),(204,1)}
       155:{1,2,5,6}:{(125,1),(139,1),(148,1),(179,1),(207,1),(208,1)}
       156:{1,2,3,6}:{(126,1),(127,1),(130,1),(175,1),(180,1)}
       157:{2,3,4,6}:{(126,1),(128,1),(131,1),(140,1),(176,1),(180,1),(181,1),(205,1)}
       158:{1,3,4,6}:{(127,1),(128,1),(132,1),(149,1),(177,1),(180,1),(182,1),(206,1)}
       159:{3,5}:{(128,1),(129,1)}
       160:{1,2,4}:{(130,1),(131,1),(132,1)}
       161:{2,3,6,7}:{(133,1),(134,1),(136,1),(183,1),(205,1)}
       162:{3,4,6,7}:{(134,1),(135,1),(137,1),(183,1),(184,1),(187,1)}
       163:{1,4,5,7}:{(135,1),(184,1),(185,1)}
       164:{2,4,7}:{(136,1),(137,1),(140,1)}
       165:{3,4,5,7}:{(137,1),(138,1),(141,1),(178,1),(184,1),(186,1),(187,1)}
       166:{1,4,6}:{(138,1),(139,1),(187,1)}
       167:{2,4,5}:{(140,1),(141,1),(181,1)}
       168:{1,3,6,7}:{(142,1),(143,1),(145,1),(188,1),(206,1)}
       169:{3,4,6,7}:{(143,1),(144,1),(146,1),(188,1),(189,1),(192,1)}
       170:{2,4,5,7}:{(144,1),(189,1),(190,1)}
       171:{1,4,7}:{(145,1),(146,1),(149,1)}
       172:{3,4,5,7}:{(146,1),(147,1),(150,1),(178,1),(189,1),(191,1),(192,1)}
       173:{2,4,6}:{(147,1),(148,1),(192,1)}
       174:{1,4,5}:{(149,1),(150,1),(182,1)}
       175:{1,2,3,7}:{(151,1),(152,1),(156,1),(193,1)}
       176:{2,3,4,7}:{(151,1),(153,1),(157,1),(164,1),(193,1),(194,1)}
       177:{1,3,4,7}:{(152,1),(153,1),(158,1),(171,1),(193,1),(195,1)}
       178:{3,5,7}:{(153,1),(154,1),(159,1),(196,1)}
       179:{1,2,4,6}:{(154,1),(155,1),(166,1),(173,1),(196,1),(200,1),(203,1),(209,1)}
       180:{1,2,4,6}:{(156,1),(157,1),(158,1),(160,1),(193,1),(197,1),(209,1)}
       181:{2,3,5}:{(157,1),(159,1),(167,1),(197,1)}
       182:{1,3,5}:{(158,1),(159,1),(174,1),(197,1)}
       183:{2,4,6,7}:{(161,1),(162,1),(164,1),(198,1),(200,1)}
       184:{3,5,7}:{(162,1),(163,1),(198,1),(199,1)}
       185:{1,4,5,6}:{(163,1),(166,1),(199,1)}
       186:{2,4,5,7}:{(164,1),(165,1),(167,1),(194,1),(198,1),(200,1)}
       187:{3,4,6}:{(165,1),(166,1),(196,1),(199,1),(200,1)}
       188:{1,4,6,7}:{(168,1),(169,1),(171,1),(201,1),(203,1)}
       189:{3,5,7}:{(169,1),(170,1),(201,1),(202,1)}
       190:{2,4,5,6}:{(170,1),(173,1),(202,1)}
       191:{1,4,5,7}:{(171,1),(172,1),(174,1),(195,1),(201,1),(203,1)}
       192:{3,4,6}:{(172,1),(173,1),(196,1),(202,1),(203,1)}
       193:{1,2,4,7}:{(175,1),(176,1),(177,1),(180,1),(204,1)}
       194:{2,3,5,7}:{(176,1),(178,1),(181,1),(186,1),(204,1),(205,1)}
       195:{1,3,5,7}:{(177,1),(178,1),(182,1),(191,1),(204,1),(206,1)}
       196:{3,6}:{(178,1),(179,1)}
       197:{1,2,5}:{(180,1),(181,1),(182,1)}
       198:{2,5,7}:{(183,1),(184,1),(207,1)}
       199:{3,5,6}:{(184,1),(185,1),(187,1),(207,1)}
       200:{2,4,6}:{(186,1),(187,1),(205,1),(207,1)}
       201:{1,5,7}:{(188,1),(189,1),(208,1)}
       202:{3,5,6}:{(189,1),(190,1),(192,1),(208,1)}
       203:{1,4,6}:{(191,1),(192,1),(206,1),(208,1)}
       204:{1,2,5,7}:{(193,1),(194,1),(195,1),(197,1),(209,1)}
       205:{2,3,6}:{(194,1),(196,1),(200,1),(209,1)}
       206:{1,3,6}:{(195,1),(196,1),(203,1),(209,1)}
       207:{2,5,6}:{(198,1),(199,1),(200,1)}
       208:{1,5,6}:{(201,1),(202,1),(203,1)}
       209:{1,2,6}:{(204,1),(205,1),(206,1)}

1546 :   0:{2,3,4,6,7}:{(1,1),(2,1),(14,1),(24,1),(49,1),(51,1),(61,1),(90,1),(97,1),(117,1),(125,1)}
         1:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(29,1),(31,1),(42,1),(81,1),(114,1),(128,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(32,1),(39,1),(108,1),(127,1)}
         3:{1,3,5,6,7}:{(10,1),(11,1),(25,1),(28,1),(38,1),(40,1),(79,1)}
         4:{2,3,5,6,7}:{(5,1),(10,1),(12,1),(39,1),(40,1),(62,1),(80,1)}
         5:{2,3,5,6}:{(2,1),(13,1),(14,1),(47,1),(49,1)}
         6:{1,3,6,7}:{(1,1),(15,1),(49,1),(125,1),(134,1)}
         7:{1,2,5,7}:{(1,1),(2,1),(13,1),(15,1),(59,1),(133,1)}
         8:{2,4,5,7}:{(2,1),(14,1),(17,1),(97,1),(120,1)}
         9:{1,3,4,6,7}:{(18,1),(19,1),(23,1),(44,1),(60,1),(83,1),(89,1),(93,1),(96,1),(116,1),(125,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(13,1),(22,1),(43,1),(58,1),(59,1),(98,1)}
        11:{1,4,6,7}:{(3,1),(20,1),(23,1),(44,1),(48,1),(96,1)}
        12:{2,4,6,7}:{(4,1),(14,1),(21,1),(24,1),(82,1),(97,1)}
        13:{1,2,5,6}:{(5,1),(7,1),(28,1),(29,1),(67,1),(108,1)}
        14:{2,4,6}:{(5,1),(8,1),(30,1)}
        15:{1,3,5,7}:{(6,1),(7,1),(28,1),(31,1),(32,1),(137,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(29,1),(31,1),(32,1),(33,1),(68,1),(73,1),(74,1),(108,1),(114,1),(129,1)}
        17:{3,4,5,7}:{(8,1),(30,1),(32,1),(33,1),(39,1),(78,1),(103,1)}
        18:{1,2,4,6,7}:{(9,1),(34,1),(35,1),(41,1),(63,1),(75,1),(81,1),(109,1),(114,1)}
        19:{1,3,5,7}:{(9,1),(25,1),(35,1),(36,1),(38,1),(76,1),(107,1),(126,1)}
        20:{1,4,5,7}:{(11,1),(26,1),(38,1),(68,1)}
        21:{2,4,5,7}:{(12,1),(27,1),(39,1),(99,1)}
        22:{1,2,4,6,7}:{(10,1),(11,1),(12,1),(29,1),(37,1),(40,1),(41,1),(42,1),(63,1),(81,1),(114,1)}
        23:{3,4,6,7}:{(11,1),(38,1),(40,1),(41,1),(64,1),(69,1),(78,1)}
        24:{3,4,6,7}:{(12,1),(30,1),(39,1),(40,1),(42,1),(78,1),(100,1)}
        25:{1,3,5,6}:{(19,1),(43,1),(44,1),(46,1),(83,1)}
        26:{1,4,5,6}:{(20,1),(44,1),(46,1)}
        27:{2,4,5,6}:{(14,1),(21,1),(47,1)}
        28:{1,3,5,6}:{(13,1),(15,1),(48,1),(49,1),(88,1)}
        29:{1,2,4,6}:{(13,1),(14,1),(16,1),(48,1),(49,1),(50,1),(90,1),(91,1)}
        30:{3,4,6}:{(14,1),(17,1),(47,1),(49,1),(50,1)}
        31:{1,4,7}:{(15,1),(48,1),(51,1),(139,1)}
        32:{3,5,7}:{(16,1),(49,1),(51,1),(88,1),(125,1),(135,1)}
        33:{1,4,5,7}:{(17,1),(50,1),(52,1),(59,1),(96,1),(119,1)}
        34:{2,3,6,7}:{(18,1),(54,1),(83,1),(123,1),(125,1)}
        35:{1,2,5,7}:{(18,1),(19,1),(43,1),(54,1),(58,1),(122,1)}
        36:{1,4,5,7}:{(19,1),(44,1),(56,1),(96,1),(119,1)}
        37:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(45,1),(57,1),(58,1),(59,1),(96,1),(97,1),(98,1)}
        38:{3,5,7}:{(20,1),(23,1),(46,1),(58,1),(88,1)}
        39:{3,5,7}:{(21,1),(24,1),(47,1),(59,1),(115,1)}
        40:{3,6,7}:{(22,1),(49,1),(57,1),(83,1),(125,1)}
        41:{2,4,6,7}:{(23,1),(58,1),(61,1),(84,1),(90,1),(97,1)}
        42:{1,4,6,7}:{(24,1),(50,1),(59,1),(60,1),(96,1),(116,1)}
        43:{1,2,5,6}:{(25,1),(35,1),(62,1),(63,1),(66,1),(126,1)}
        44:{1,4,6}:{(25,1),(36,1),(64,1)}
        45:{1,2,4,5,6}:{(26,1),(27,1),(29,1),(37,1),(63,1),(65,1),(66,1),(67,1),(68,1),(99,1),(104,1),(105,1),(106,1),(108,1),(126,1),(129,1)}
        46:{3,5,6}:{(26,1),(38,1),(64,1),(66,1)}
        47:{3,5,6}:{(27,1),(30,1),(39,1),(67,1)}
        48:{1,4,6}:{(28,1),(31,1),(68,1),(69,1)}
        49:{3,6}:{(29,1),(32,1)}
        50:{1,4,6}:{(30,1),(33,1),(67,1),(70,1)}
        51:{3,4,7}:{(31,1),(32,1),(69,1),(73,1),(138,1)}
        52:{1,3,5,7}:{(32,1),(33,1),(70,1),(72,1),(74,1),(107,1)}
        53:{2,3,5,7}:{(32,1),(71,1),(73,1),(74,1),(108,1),(110,1),(131,1)}
        54:{2,3,5,7}:{(34,1),(35,1),(62,1),(75,1),(76,1),(131,1)}
        55:{1,2,4,5,7}:{(35,1),(36,1),(63,1),(75,1),(76,1),(77,1),(99,1),(111,1),(113,1),(114,1),(126,1),(129,1)}
        56:{3,4,5,7}:{(36,1),(38,1),(64,1),(76,1),(77,1),(78,1),(103,1)}
        57:{3,5,7}:{(37,1),(40,1),(65,1),(78,1)}
        58:{2,5,7}:{(38,1),(41,1),(66,1),(108,1)}
        59:{1,5,7}:{(39,1),(42,1),(67,1),(126,1)}
        60:{1,3,6,7}:{(40,1),(42,1),(70,1),(79,1),(81,1),(101,1)}
        61:{2,3,6,7}:{(40,1),(41,1),(71,1),(80,1),(81,1),(102,1)}
        62:{2,3,5,6}:{(43,1),(54,1),(82,1),(83,1),(115,1)}
        63:{1,2,4,6}:{(43,1),(44,1),(55,1),(82,1),(83,1),(84,1),(116,1),(118,1)}
        64:{3,4,6}:{(44,1),(46,1),(56,1),(83,1),(84,1)}
        65:{3,5,6}:{(45,1),(49,1),(57,1),(83,1),(85,1),(88,1),(115,1),(135,1)}
        66:{2,5,6}:{(46,1),(58,1),(84,1)}
        67:{1,5,6}:{(47,1),(50,1),(59,1)}
        68:{1,4,5}:{(48,1),(88,1)}
        69:{3,4,6}:{(48,1),(49,1),(51,1),(88,1),(90,1)}
        70:{1,3,6}:{(49,1),(50,1),(52,1),(91,1)}
        71:{2,3,6}:{(49,1),(53,1),(90,1),(91,1)}
        72:{1,3,4,7}:{(51,1),(52,1),(89,1),(92,1),(96,1),(125,1)}
        73:{2,4,7}:{(51,1),(53,1),(90,1),(136,1)}
        74:{1,2,5,7}:{(52,1),(53,1),(91,1),(92,1),(122,1)}
        75:{2,4,7}:{(54,1),(82,1),(93,1),(136,1)}
        76:{3,5,7}:{(55,1),(83,1),(93,1),(115,1),(125,1),(135,1)}
        77:{2,4,5,7}:{(56,1),(58,1),(84,1),(95,1),(97,1),(120,1)}
        78:{3,4,7}:{(57,1),(85,1),(96,1),(97,1),(125,1)}
        79:{1,3,5,7}:{(57,1),(59,1),(60,1),(86,1),(96,1),(98,1),(125,1)}
        80:{2,3,5,7}:{(57,1),(58,1),(61,1),(87,1),(97,1),(98,1),(125,1)}
        81:{1,2,6,7}:{(60,1),(61,1),(91,1),(98,1),(118,1)}
        82:{2,4,6}:{(62,1),(75,1),(99,1),(100,1)}
        83:{3,6}:{(63,1),(76,1)}
        84:{2,4,6}:{(64,1),(66,1),(77,1),(102,1)}
        85:{3,4,6}:{(65,1),(78,1),(103,1),(104,1),(105,1),(130,1),(138,1)}
        86:{1,3,5,6}:{(65,1),(67,1),(70,1),(79,1),(101,1),(104,1),(106,1),(107,1),(126,1),(130,1),(137,1)}
        87:{2,3,5,6}:{(65,1),(66,1),(71,1),(80,1),(102,1),(105,1),(106,1),(108,1),(127,1),(130,1),(131,1)}
        88:{3,5}:{(68,1),(69,1),(108,1)}
        89:{1,3,4,6}:{(69,1),(70,1),(72,1),(104,1),(107,1),(109,1),(130,1),(138,1)}
        90:{2,4,6}:{(69,1),(71,1),(73,1),(108,1)}
        91:{1,2,6}:{(70,1),(71,1),(74,1)}
        92:{1,2,4,7}:{(72,1),(73,1),(74,1),(109,1),(110,1)}
        93:{3,4,7}:{(75,1),(76,1),(100,1),(111,1),(138,1)}
        94:{1,3,5,7}:{(76,1),(101,1),(111,1),(113,1),(126,1),(132,1),(137,1)}
        95:{2,3,5,7}:{(76,1),(77,1),(102,1),(112,1),(113,1),(127,1)}
        96:{1,4,7}:{(78,1),(79,1),(104,1)}
        97:{2,4,7}:{(78,1),(80,1),(105,1)}
        98:{1,2,5,7}:{(79,1),(80,1),(81,1),(106,1),(114,1)}
        99:{2,4,5}:{(82,1),(115,1)}
       100:{3,4,6}:{(82,1),(83,1),(93,1),(115,1),(116,1)}
       101:{1,3,6}:{(83,1),(94,1),(116,1),(118,1)}
       102:{2,3,6}:{(83,1),(84,1),(95,1),(118,1)}
       103:{3,4,5}:{(85,1),(88,1),(115,1),(119,1),(120,1),(135,1)}
       104:{1,4,6}:{(85,1),(86,1),(96,1),(119,1),(139,1)}
       105:{2,4,6}:{(85,1),(87,1),(97,1),(120,1),(136,1)}
       106:{1,2,5,6}:{(86,1),(87,1),(91,1),(98,1),(118,1),(121,1),(122,1),(133,1)}
       107:{1,3,5}:{(88,1),(89,1),(119,1),(122,1),(135,1)}
       108:{2,5}:{(88,1),(90,1)}
       109:{1,2,4,6}:{(89,1),(90,1),(91,1),(92,1),(122,1),(123,1),(136,1)}
       110:{2,3,7}:{(92,1),(123,1),(125,1)}
       111:{1,4,7}:{(93,1),(94,1),(116,1),(139,1)}
       112:{2,3,4,7}:{(93,1),(95,1),(97,1),(117,1),(124,1),(125,1)}
       113:{1,2,5,7}:{(94,1),(95,1),(118,1),(124,1),(133,1)}
       114:{1,2,4,7}:{(96,1),(97,1),(98,1),(121,1),(125,1)}
       115:{3,5}:{(99,1),(100,1),(126,1)}
       116:{1,4,6}:{(100,1),(101,1),(111,1),(126,1)}
       117:{2,3,4,6}:{(100,1),(102,1),(105,1),(112,1),(127,1),(128,1),(130,1),(138,1)}
       118:{1,2,6}:{(101,1),(102,1),(113,1)}
       119:{1,4,5}:{(103,1),(104,1),(107,1),(126,1)}
       120:{2,4,5}:{(103,1),(105,1),(108,1),(127,1)}
       121:{1,2,4,6}:{(104,1),(105,1),(106,1),(114,1),(129,1),(130,1)}
       122:{1,2,5}:{(107,1),(108,1),(109,1),(131,1)}
       123:{2,3,6}:{(109,1),(110,1),(130,1),(131,1)}
       124:{1,2,4,7}:{(111,1),(112,1),(113,1),(128,1),(132,1)}
       125:{3,7}:{(114,1),(130,1)}
       126:{1,5}:{(115,1),(116,1)}
       127:{2,3,5}:{(115,1),(117,1),(120,1),(133,1),(135,1)}
       128:{1,2,4,6}:{(116,1),(117,1),(118,1),(124,1),(133,1),(134,1),(139,1)}
       129:{1,2,4,5}:{(119,1),(120,1),(121,1),(122,1),(133,1),(135,1),(136,1),(139,1)}
       130:{3,6}:{(121,1),(125,1),(135,1)}
       131:{2,3,5}:{(122,1),(123,1),(135,1),(136,1)}
       132:{1,3,7}:{(124,1),(125,1),(134,1)}
       133:{1,2,5}:{(126,1),(127,1),(128,1),(137,1)}
       134:{1,3,6}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,5}:{(129,1),(130,1),(138,1)}
       136:{2,4}:{(131,1),(138,1)}
       137:{1,3,5}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,4}:{(135,1),(136,1),(139,1)}
       139:{1,4}:{(137,1),(138,1)}

1547 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(23,1),(56,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(36,1),(73,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(26,1),(51,1),(90,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(21,1),(26,1),(50,1),(93,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(22,1),(26,1),(49,1),(92,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(11,1),(12,1),(36,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(11,1),(68,1),(112,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(12,1),(67,1),(111,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(15,1),(34,1),(35,1),(114,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(44,1),(90,1),(156,1)}
        10:{2,3,4,5,7}:{(19,1),(20,1),(22,1),(51,1),(79,1),(82,1),(88,1),(124,1),(132,1)}
        11:{1,4,5,7}:{(5,1),(6,1),(17,1),(21,1)}
        12:{2,4,5,7}:{(5,1),(7,1),(18,1),(22,1)}
        13:{1,3,4,6,7}:{(6,1),(21,1),(24,1),(26,1),(41,1),(51,1)}
        14:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(25,1),(26,1),(51,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(23,1),(26,1),(133,1)}
        16:{1,2,3,5,6,7}:{(8,1),(26,1),(27,1),(49,1),(50,1),(52,1),(55,1),(76,1),(91,1),(92,1),(93,1),(136,1),(160,1),(163,1),(172,1)}
        17:{1,4,5,6}:{(9,1),(11,1),(28,1),(112,1),(164,1)}
        18:{2,4,5,6}:{(9,1),(12,1),(29,1),(111,1),(144,1)}
        19:{2,3,4,6}:{(10,1),(29,1),(31,1),(60,1),(111,1),(151,1)}
        20:{1,2,4,5,7}:{(10,1),(31,1),(32,1),(35,1),(63,1),(68,1),(99,1),(102,1)}
        21:{1,3,5,7}:{(11,1),(13,1),(28,1),(34,1),(36,1)}
        22:{2,3,5,7}:{(12,1),(14,1),(29,1),(35,1),(36,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(15,1),(30,1),(34,1),(35,1),(36,1),(67,1),(68,1)}
        24:{1,2,4,6,7}:{(13,1),(34,1),(37,1),(57,1),(67,1)}
        25:{1,2,4,6,7}:{(14,1),(31,1),(35,1),(38,1),(68,1)}
        26:{3,6,7}:{(15,1),(36,1),(151,1)}
        27:{1,2,4,6,7}:{(16,1),(39,1),(40,1),(67,1),(68,1),(97,1),(111,1),(112,1),(169,1),(174,1)}
        28:{1,3,5,6}:{(17,1),(21,1),(41,1),(42,1),(44,1),(153,1)}
        29:{2,3,5,6}:{(18,1),(19,1),(22,1),(43,1),(44,1),(124,1)}
        30:{1,2,4,5,6}:{(17,1),(18,1),(23,1),(42,1),(43,1),(44,1),(77,1),(78,1),(120,1),(133,1)}
        31:{1,2,4,6}:{(19,1),(20,1),(43,1),(45,1),(78,1)}
        32:{1,3,5,7}:{(20,1),(45,1),(47,1),(81,1),(132,1)}
        33:{1,3,4,5,7}:{(21,1),(41,1),(48,1),(51,1),(79,1),(89,1),(129,1),(132,1),(153,1)}
        34:{1,2,5,7}:{(21,1),(24,1),(42,1),(49,1)}
        35:{1,2,5,7}:{(22,1),(25,1),(43,1),(50,1)}
        36:{3,5,7}:{(23,1),(26,1),(44,1),(51,1)}
        37:{2,3,6,7}:{(24,1),(26,1),(49,1),(75,1)}
        38:{1,3,6,7}:{(25,1),(26,1),(45,1),(50,1)}
        39:{3,4,6,7}:{(26,1),(27,1),(51,1),(55,1),(90,1),(119,1),(163,1),(173,1)}
        40:{1,2,4,5,7}:{(27,1),(55,1),(56,1),(88,1),(89,1),(91,1),(120,1)}
        41:{1,3,4,6}:{(28,1),(33,1),(57,1),(60,1),(112,1),(151,1)}
        42:{1,2,5,6}:{(28,1),(34,1),(57,1),(58,1),(138,1)}
        43:{1,2,5,6}:{(29,1),(31,1),(35,1),(59,1),(102,1)}
        44:{3,5,6}:{(30,1),(36,1),(60,1),(140,1),(151,1)}
        45:{1,3,6}:{(31,1),(32,1),(151,1)}
        46:{1,2,3,5,7}:{(32,1),(61,1),(63,1),(102,1),(104,1)}
        47:{1,3,4,7}:{(32,1),(62,1),(63,1),(68,1),(109,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(57,1),(65,1),(67,1),(98,1),(107,1),(138,1)}
        49:{2,3,5,7}:{(34,1),(36,1),(37,1),(58,1),(67,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(38,1),(59,1),(68,1)}
        51:{3,4,7}:{(36,1),(60,1),(67,1),(68,1)}
        52:{1,2,3,6,7}:{(37,1),(38,1),(61,1),(66,1),(70,1),(95,1),(147,1),(151,1),(170,1)}
        53:{2,3,4,6,7}:{(37,1),(39,1),(67,1),(70,1),(71,1),(96,1),(101,1),(109,1),(111,1),(147,1),(151,1),(169,1)}
        54:{1,3,4,6,7}:{(38,1),(39,1),(62,1),(68,1),(70,1),(72,1),(109,1),(112,1),(137,1),(151,1),(170,1),(174,1)}
        55:{3,5,7}:{(39,1),(40,1),(73,1),(140,1)}
        56:{1,2,4,5,6}:{(40,1),(73,1),(111,1),(112,1),(114,1)}
        57:{1,2,4,6}:{(41,1),(42,1),(48,1),(75,1),(77,1)}
        58:{2,3,5,6}:{(42,1),(44,1),(49,1),(75,1),(77,1),(118,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(45,1),(50,1),(78,1),(81,1)}
        60:{3,4,6}:{(44,1),(51,1),(77,1),(78,1),(79,1)}
        61:{1,2,3,6}:{(45,1),(46,1),(80,1),(127,1)}
        62:{1,3,4,6}:{(45,1),(47,1),(78,1),(80,1),(81,1),(119,1)}
        63:{1,2,4,7}:{(46,1),(47,1),(80,1),(82,1)}
        64:{1,3,4,5,7}:{(47,1),(81,1),(83,1),(84,1),(89,1),(126,1),(132,1),(156,1),(173,1)}
        65:{2,3,5,7}:{(48,1),(75,1),(86,1),(118,1),(132,1)}
        66:{1,2,3,5,7}:{(49,1),(50,1),(52,1),(76,1),(87,1),(91,1),(132,1),(160,1),(172,1)}
        67:{2,4,7}:{(49,1),(51,1),(77,1)}
        68:{1,4,7}:{(50,1),(51,1),(78,1)}
        69:{3,4,5,7}:{(51,1),(55,1),(79,1),(88,1),(89,1),(90,1),(132,1),(156,1),(173,1)}
        70:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(80,1),(87,1),(91,1),(117,1),(133,1)}
        71:{2,3,5,7}:{(53,1),(55,1),(88,1),(91,1),(92,1),(118,1),(124,1),(132,1)}
        72:{1,3,5,7}:{(54,1),(55,1),(81,1),(89,1),(91,1),(93,1),(132,1),(153,1)}
        73:{3,5,6}:{(55,1),(56,1),(90,1)}
        74:{1,2,4,5,6,7}:{(56,1),(94,1),(134,1),(135,1),(136,1),(158,1)}
        75:{2,3,6}:{(57,1),(65,1),(151,1)}
        76:{1,2,3,5,6}:{(58,1),(59,1),(61,1),(66,1),(95,1),(97,1),(102,1),(114,1),(138,1),(140,1),(145,1),(151,1),(165,1)}
        77:{2,4,6}:{(58,1),(60,1),(67,1),(98,1)}
        78:{1,4,6}:{(59,1),(60,1),(68,1),(99,1)}
        79:{3,4,5}:{(60,1),(98,1),(99,1),(140,1)}
        80:{1,2,4,6}:{(61,1),(62,1),(63,1),(101,1),(102,1)}
        81:{1,3,5}:{(62,1),(99,1),(102,1),(140,1)}
        82:{2,3,4,7}:{(63,1),(101,1),(104,1),(109,1),(169,1)}
        83:{1,2,4,5,7}:{(63,1),(64,1),(102,1),(104,1),(105,1),(144,1),(146,1),(169,1)}
        84:{1,3,4,6}:{(64,1),(103,1),(105,1),(112,1),(151,1),(167,1)}
        85:{1,2,3,5,7}:{(65,1),(95,1),(107,1),(138,1),(148,1)}
        86:{2,3,4,7}:{(65,1),(67,1),(96,1),(107,1),(109,1)}
        87:{1,2,4,7}:{(66,1),(67,1),(68,1),(97,1),(109,1),(169,1),(174,1)}
        88:{2,4,5,7}:{(67,1),(69,1),(71,1),(98,1),(111,1),(144,1),(169,1)}
        89:{1,4,5,7}:{(68,1),(69,1),(72,1),(99,1),(112,1),(164,1),(174,1)}
        90:{3,4,6}:{(69,1),(73,1),(111,1),(112,1),(151,1)}
        91:{1,2,5,7}:{(70,1),(71,1),(72,1),(102,1),(114,1),(138,1)}
        92:{2,3,5,6}:{(71,1),(73,1),(111,1),(114,1),(151,1)}
        93:{1,3,5,6}:{(72,1),(73,1),(112,1),(114,1),(151,1)}
        94:{3,5,6,7}:{(73,1),(74,1),(113,1),(168,1)}
        95:{1,2,3,6}:{(75,1),(85,1),(117,1),(161,1)}
        96:{2,3,4,6}:{(75,1),(77,1),(86,1),(117,1),(118,1),(119,1)}
        97:{1,2,4,6}:{(76,1),(77,1),(78,1),(87,1),(119,1),(120,1),(159,1),(171,1)}
        98:{2,4,5}:{(77,1),(79,1),(118,1)}
        99:{1,4,5}:{(78,1),(79,1),(81,1)}
       100:{3,4,5,6}:{(79,1),(90,1),(121,1),(122,1),(123,1),(157,1)}
       101:{2,3,4,6}:{(80,1),(82,1),(119,1),(124,1),(127,1),(159,1)}
       102:{1,2,5}:{(80,1),(81,1),(124,1)}
       103:{1,3,5,6}:{(81,1),(84,1),(122,1),(125,1),(126,1),(157,1)}
       104:{2,3,5,7}:{(82,1),(83,1),(124,1),(127,1),(132,1)}
       105:{1,2,4,6}:{(83,1),(84,1),(125,1),(127,1),(159,1)}
       106:{1,3,4,6,7}:{(84,1),(126,1),(128,1),(135,1),(163,1),(173,1)}
       107:{1,2,4,7}:{(85,1),(86,1),(117,1),(129,1)}
       108:{2,3,4,5,7}:{(86,1),(88,1),(118,1),(130,1),(131,1),(132,1),(155,1),(156,1),(173,1)}
       109:{3,4,7}:{(87,1),(119,1),(132,1)}
       110:{1,2,4,5,7}:{(87,1),(88,1),(89,1),(91,1),(120,1),(132,1),(133,1)}
       111:{2,4,6}:{(88,1),(90,1),(92,1)}
       112:{1,4,6}:{(89,1),(90,1),(93,1)}
       113:{3,4,6,7}:{(90,1),(94,1),(123,1),(134,1),(135,1),(163,1),(173,1)}
       114:{1,2,5,6}:{(91,1),(92,1),(93,1),(133,1)}
       115:{2,3,5,6,7}:{(92,1),(94,1),(134,1),(136,1),(155,1),(160,1),(163,1)}
       116:{1,3,5,6,7}:{(93,1),(94,1),(126,1),(135,1),(136,1),(163,1),(172,1)}
       117:{1,2,4,6}:{(95,1),(96,1),(107,1),(137,1),(138,1)}
       118:{2,3,5}:{(96,1),(98,1),(138,1),(140,1)}
       119:{3,4,6}:{(97,1),(109,1),(140,1),(151,1)}
       120:{1,2,4,5}:{(97,1),(98,1),(99,1),(102,1),(138,1),(140,1),(144,1),(164,1)}
       121:{2,4,5,6}:{(98,1),(100,1),(111,1),(139,1),(142,1)}
       122:{1,4,5,6}:{(99,1),(100,1),(103,1),(112,1),(143,1)}
       123:{3,4,5,7}:{(100,1),(113,1),(142,1),(143,1),(168,1)}
       124:{2,3,5}:{(101,1),(102,1),(140,1),(144,1)}
       125:{1,2,5,6}:{(102,1),(103,1),(105,1),(145,1),(146,1)}
       126:{1,3,5,7}:{(103,1),(106,1),(143,1),(146,1),(168,1)}
       127:{2,3,6}:{(104,1),(105,1),(151,1)}
       128:{1,2,4,6,7}:{(105,1),(106,1),(146,1),(147,1),(169,1)}
       129:{1,3,4,7}:{(107,1),(109,1),(137,1),(148,1),(174,1)}
       130:{1,2,4,5,7}:{(107,1),(108,1),(138,1),(148,1),(149,1),(164,1),(166,1),(174,1)}
       131:{2,3,4,6}:{(108,1),(111,1),(139,1),(149,1),(151,1),(167,1)}
       132:{3,5,7}:{(109,1),(110,1),(140,1),(151,1)}
       133:{1,2,4,6}:{(110,1),(111,1),(112,1),(114,1),(151,1)}
       134:{2,4,6,7}:{(111,1),(113,1),(115,1),(142,1),(169,1)}
       135:{1,4,6,7}:{(112,1),(113,1),(116,1),(143,1),(174,1)}
       136:{1,2,5,6,7}:{(114,1),(115,1),(116,1),(146,1),(152,1),(166,1)}
       137:{1,3,4,6}:{(117,1),(119,1),(129,1),(153,1),(161,1),(171,1)}
       138:{1,2,5}:{(117,1),(118,1),(153,1)}
       139:{2,3,5,6}:{(118,1),(121,1),(131,1),(154,1),(155,1),(157,1)}
       140:{3,5}:{(119,1),(120,1)}
       141:{1,2,4,5,6}:{(120,1),(121,1),(122,1),(125,1),(133,1),(154,1),(157,1),(158,1),(159,1),(171,1)}
       142:{2,4,5,7}:{(121,1),(123,1),(134,1),(155,1)}
       143:{1,4,5,7}:{(122,1),(123,1),(126,1),(135,1)}
       144:{2,4,5}:{(124,1),(156,1),(159,1)}
       145:{2,3,5,6}:{(124,1),(125,1),(127,1),(157,1),(159,1),(160,1)}
       146:{1,2,5,7}:{(125,1),(126,1),(128,1),(160,1)}
       147:{2,3,6,7}:{(127,1),(128,1),(160,1),(163,1)}
       148:{1,3,5,7}:{(129,1),(130,1),(132,1),(153,1),(161,1)}
       149:{1,2,4,6}:{(130,1),(131,1),(154,1),(161,1),(171,1)}
       150:{2,3,4,6,7}:{(131,1),(134,1),(155,1),(162,1),(163,1),(173,1)}
       151:{3,6}:{(132,1),(133,1)}
       152:{1,2,4,6,7}:{(133,1),(134,1),(135,1),(136,1),(158,1),(163,1)}
       153:{1,3,5}:{(137,1),(138,1),(140,1),(164,1)}
       154:{1,2,5,6}:{(138,1),(139,1),(149,1),(165,1),(166,1)}
       155:{2,3,5,7}:{(139,1),(142,1),(150,1),(166,1),(168,1)}
       156:{3,4,5}:{(140,1),(144,1),(164,1),(167,1)}
       157:{3,5,6}:{(140,1),(141,1),(151,1),(167,1),(168,1)}
       158:{1,2,4,5,7}:{(141,1),(142,1),(143,1),(146,1),(152,1),(166,1),(168,1),(169,1),(174,1)}
       159:{2,4,6}:{(144,1),(145,1),(167,1),(169,1)}
       160:{2,3,5,7}:{(145,1),(146,1),(147,1),(168,1),(169,1)}
       161:{1,3,6}:{(148,1),(149,1),(151,1)}
       162:{1,2,4,6,7}:{(149,1),(150,1),(166,1),(170,1),(174,1)}
       163:{3,6,7}:{(151,1),(152,1),(168,1)}
       164:{1,4,5}:{(153,1),(156,1),(171,1)}
       165:{1,3,5,6}:{(153,1),(154,1),(157,1),(161,1),(171,1),(172,1)}
       166:{1,2,5,7}:{(154,1),(155,1),(162,1),(172,1)}
       167:{3,4,6}:{(156,1),(157,1),(159,1),(171,1),(173,1)}
       168:{3,5,7}:{(157,1),(158,1),(163,1),(173,1)}
       169:{2,4,7}:{(159,1),(160,1),(173,1)}
       170:{1,3,6,7}:{(161,1),(162,1),(163,1),(172,1)}
       171:{1,4,6}:{(164,1),(165,1),(167,1),(174,1)}
       172:{1,3,5,7}:{(165,1),(166,1),(168,1),(170,1),(174,1)}
       173:{3,4,7}:{(167,1),(168,1),(169,1),(174,1)}
       174:{1,4,7}:{(171,1),(172,1),(173,1)}

1548 :   0:{1,3,4,5,6}:{(1,1),(2,1),(20,1),(65,1),(72,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(53,1),(60,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(58,1),(61,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(48,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(45,1),(49,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(30,1),(54,1),(58,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(36,1),(76,1)}
         8:{1,3,5,6,7}:{(3,1),(14,1),(16,1),(36,1),(53,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(37,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{2,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(42,1),(45,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(8,1),(64,1)}
        15:{2,4,5,6,7}:{(7,1),(24,1),(86,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(45,1)}
        17:{2,3,6,7}:{(9,1),(10,1)}
        18:{2,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{2,3,4,5}:{(11,1),(23,1)}
        20:{1,3,4,6}:{(13,1),(29,1),(30,1),(54,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(33,1),(54,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(29,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(30,1)}
        24:{2,3,5,6,7}:{(15,1),(31,1),(35,1),(36,1),(79,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(35,1),(36,1),(37,1),(57,1),(59,1)}
        26:{2,3,5,6,7}:{(16,1),(17,1),(36,1),(37,1),(38,1)}
        27:{2,3,4,6,7}:{(17,1),(18,1),(33,1),(37,1),(38,1),(39,1),(56,1)}
        28:{2,3,4,5,7}:{(18,1),(19,1),(34,1),(38,1),(39,1),(76,1)}
        29:{1,3,4,7}:{(20,1),(22,1),(42,1)}
        30:{1,3,5}:{(20,1),(23,1)}
        31:{2,3,4,6,7}:{(24,1),(40,1),(43,1),(48,1)}
        32:{1,2,3,5,6,7}:{(21,1),(26,1),(44,1),(45,1),(47,1),(65,1),(66,1),(69,1),(89,1),(90,1)}
        33:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(41,1),(45,1),(46,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(42,1),(45,1),(46,1),(64,1)}
        35:{1,2,5,6,7}:{(24,1),(43,1),(47,1),(89,1)}
        36:{3,5,6,7}:{(25,1),(48,1),(69,1)}
        37:{2,4,6,7}:{(26,1),(48,1),(49,1)}
        38:{2,3,5,7}:{(27,1),(45,1),(49,1),(50,1),(69,1)}
        39:{2,3,4,6}:{(28,1),(46,1),(50,1),(88,1)}
        40:{2,3,4,5,7}:{(31,1),(51,1),(52,1),(60,1),(79,1),(94,1)}
        41:{1,3,4,6,7}:{(29,1),(33,1),(53,1),(54,1),(56,1),(77,1)}
        42:{1,3,5,7}:{(29,1),(30,1),(34,1),(54,1)}
        43:{1,2,4,6,7}:{(31,1),(35,1),(52,1),(55,1),(59,1)}
        44:{1,2,4,6,7}:{(32,1),(37,1),(56,1),(57,1),(59,1),(77,1),(96,1)}
        45:{1,2,5,7}:{(33,1),(38,1),(53,1),(58,1)}
        46:{1,2,4,6}:{(34,1),(39,1),(54,1),(58,1),(77,1)}
        47:{1,3,5,6,7}:{(35,1),(36,1),(55,1),(59,1),(80,1)}
        48:{3,4,6,7}:{(36,1),(37,1),(59,1),(60,1)}
        49:{2,4,5,7}:{(37,1),(38,1),(60,1),(61,1)}
        50:{2,3,5,6}:{(38,1),(39,1),(58,1),(61,1),(81,1)}
        51:{2,3,4,5,6}:{(40,1),(62,1),(72,1),(90,1),(99,1)}
        52:{1,2,4,5,7}:{(40,1),(43,1),(62,1),(63,1),(71,1),(85,1),(89,1)}
        53:{1,3,5,7}:{(41,1),(45,1),(64,1),(65,1),(69,1)}
        54:{1,3,6}:{(42,1),(46,1)}
        55:{1,3,6,7}:{(43,1),(63,1)}
        56:{3,4,6,7}:{(44,1),(69,1),(88,1)}
        57:{1,2,4,5,7}:{(44,1),(45,1),(49,1),(64,1),(69,1),(70,1),(71,1),(86,1),(89,1)}
        58:{1,2,5,6}:{(45,1),(46,1),(50,1),(65,1)}
        59:{1,4,6,7}:{(47,1),(48,1),(71,1)}
        60:{3,4,5,7}:{(48,1),(49,1),(69,1),(71,1),(72,1)}
        61:{2,4,5,6}:{(49,1),(50,1),(72,1)}
        62:{1,2,4,5,6}:{(51,1),(52,1),(73,1),(82,1),(92,1),(98,1)}
        63:{1,3,5,7}:{(52,1),(55,1),(73,1),(75,1)}
        64:{1,4,5,7}:{(53,1),(76,1),(77,1)}
        65:{1,3,5,6}:{(53,1),(54,1),(58,1),(77,1),(81,1)}
        66:{1,2,3,6,7}:{(55,1),(74,1),(78,1),(104,1)}
        67:{2,3,4,6,7}:{(56,1),(78,1),(79,1),(94,1),(96,1),(104,1)}
        68:{1,3,4,6,7}:{(55,1),(56,1),(59,1),(75,1),(78,1),(80,1),(97,1)}
        69:{3,5,7}:{(56,1),(57,1),(81,1)}
        70:{1,2,4,5,6}:{(57,1),(58,1),(61,1),(77,1),(81,1),(82,1),(96,1),(98,1)}
        71:{1,4,5,7}:{(59,1),(60,1),(80,1),(82,1)}
        72:{3,4,5,6}:{(60,1),(61,1),(81,1),(82,1)}
        73:{1,3,5,6}:{(62,1),(63,1),(84,1)}
        74:{1,2,3,5,7}:{(63,1),(66,1),(83,1),(85,1),(89,1),(101,1)}
        75:{1,3,4,7}:{(63,1),(84,1),(85,1)}
        76:{3,4,5,7}:{(64,1),(69,1),(86,1),(88,1)}
        77:{1,4,6}:{(64,1),(65,1),(88,1)}
        78:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(85,1),(89,1),(102,1)}
        79:{2,3,5,7}:{(67,1),(69,1),(86,1),(89,1),(90,1)}
        80:{1,3,5,7}:{(68,1),(69,1),(71,1),(89,1),(91,1)}
        81:{3,5,6}:{(69,1),(70,1),(88,1)}
        82:{1,4,5,6}:{(71,1),(72,1),(91,1)}
        83:{1,2,3,5,6}:{(73,1),(74,1),(92,1),(98,1),(103,1),(104,1)}
        84:{1,3,4,6}:{(73,1),(75,1),(92,1),(93,1)}
        85:{1,2,4,7}:{(74,1),(75,1),(92,1),(94,1)}
        86:{2,4,5,7}:{(76,1),(79,1),(96,1)}
        87:{1,3,4,5,7}:{(75,1),(76,1),(80,1),(93,1),(95,1),(97,1)}
        88:{3,4,6}:{(76,1),(77,1),(81,1),(96,1)}
        89:{1,2,5,7}:{(78,1),(79,1),(80,1),(98,1)}
        90:{2,3,5,6}:{(79,1),(81,1),(96,1),(98,1),(104,1)}
        91:{1,3,5,6}:{(80,1),(81,1),(82,1),(97,1),(98,1)}
        92:{1,2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        93:{1,3,4,5}:{(84,1),(100,1)}
        94:{2,3,4,7}:{(85,1),(99,1),(101,1)}
        95:{1,2,4,5,7}:{(85,1),(86,1),(87,1),(89,1),(100,1),(101,1),(102,1)}
        96:{2,4,6}:{(86,1),(88,1),(90,1)}
        97:{1,3,4,6}:{(87,1),(88,1),(91,1),(102,1)}
        98:{1,2,5,6}:{(89,1),(90,1),(91,1),(102,1)}
        99:{2,3,4,6}:{(92,1),(94,1),(103,1),(104,1)}
       100:{1,2,4,5}:{(92,1),(93,1),(103,1)}
       101:{2,3,5,7}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       103:{2,3,5}:{(99,1),(100,1)}
       104:{2,3,6}:{(101,1),(102,1)}

1549 :   0:{2,4,5,6,7}:{(1,1),(13,1),(163,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(5,1),(182,1)}
         2:{2,3,4,5,7}:{(7,1),(8,1),(10,1),(57,1),(72,1),(103,1),(111,1),(114,1),(119,1),(122,1)}
         3:{2,3,4,6,7}:{(7,1),(10,1),(11,1),(13,1),(38,1),(72,1),(75,1)}
         4:{3,4,6,7}:{(1,1),(9,1),(12,1),(13,1),(38,1),(165,1)}
         5:{1,5,6,7}:{(1,1),(12,1),(197,1)}
         6:{2,3,5,6,7}:{(1,1),(10,1),(13,1),(14,1),(38,1),(115,1)}
         7:{2,3,4,6}:{(2,1),(16,1),(17,1),(86,1),(141,1),(146,1),(148,1)}
         8:{1,2,4,5,7}:{(2,1),(17,1),(18,1),(21,1),(41,1),(52,1),(83,1),(87,1)}
         9:{3,4,5,7}:{(4,1),(15,1),(19,1),(20,1),(51,1)}
        10:{2,3,5,7}:{(3,1),(16,1),(20,1),(21,1),(51,1),(99,1)}
        11:{1,2,4,6,7}:{(3,1),(17,1),(21,1),(22,1),(52,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(19,1),(23,1),(184,1)}
        13:{2,4,6,7}:{(4,1),(6,1),(20,1),(141,1)}
        14:{1,2,5,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(94,1),(99,1)}
        15:{3,4,5,6}:{(9,1),(27,1),(28,1),(63,1),(153,1),(165,1)}
        16:{2,3,5,6}:{(7,1),(10,1),(28,1),(29,1),(63,1),(103,1),(125,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(29,1),(30,1),(64,1)}
        18:{1,3,5,7}:{(8,1),(30,1),(31,1),(65,1),(119,1)}
        19:{1,4,5,7}:{(9,1),(12,1),(27,1),(33,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(13,1),(28,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(29,1),(35,1)}
        22:{1,3,6,7}:{(11,1),(30,1),(35,1),(38,1)}
        23:{1,3,6,7}:{(12,1),(33,1),(37,1),(38,1),(169,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(34,1),(37,1),(38,1),(39,1),(75,1),(120,1)}
        25:{1,3,5,6,7}:{(14,1),(35,1),(38,1),(39,1),(74,1),(76,1)}
        26:{1,2,3,5,7}:{(18,1),(40,1),(41,1),(80,1),(83,1)}
        27:{1,4,5,6}:{(15,1),(19,1),(42,1),(174,1),(184,1)}
        28:{2,4,5,6}:{(15,1),(16,1),(20,1),(128,1),(141,1)}
        29:{1,2,5,6}:{(16,1),(17,1),(21,1),(44,1),(83,1)}
        30:{1,3,6}:{(17,1),(18,1),(146,1)}
        31:{1,3,4,7}:{(18,1),(41,1),(45,1),(52,1),(92,1)}
        32:{1,2,3,6,7}:{(22,1),(40,1),(48,1),(49,1),(54,1),(130,1),(146,1),(186,1),(188,1)}
        33:{1,3,5,7}:{(19,1),(23,1),(42,1),(47,1),(50,1),(51,1)}
        34:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(24,1),(43,1),(50,1),(51,1),(52,1),(56,1),(95,1),(99,1)}
        35:{1,3,5,7}:{(21,1),(22,1),(44,1),(51,1),(52,1)}
        36:{1,3,4,6,7}:{(22,1),(45,1),(49,1),(52,1),(53,1),(55,1),(92,1),(97,1),(146,1)}
        37:{1,2,6,7}:{(23,1),(50,1),(54,1),(186,1)}
        38:{3,6,7}:{(24,1),(51,1),(146,1)}
        39:{1,4,6,7}:{(25,1),(52,1),(55,1),(56,1),(97,1)}
        40:{1,2,3,6}:{(26,1),(30,1),(60,1),(104,1)}
        41:{1,2,4,7}:{(26,1),(31,1),(57,1),(60,1)}
        42:{1,3,5,6}:{(27,1),(33,1),(58,1),(62,1),(63,1),(158,1),(169,1)}
        43:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(34,1),(62,1),(63,1),(64,1),(77,1),(107,1),(110,1),(120,1),(125,1)}
        44:{1,3,5,6}:{(29,1),(30,1),(35,1),(63,1),(64,1),(65,1)}
        45:{1,3,4,6}:{(30,1),(31,1),(60,1),(64,1),(65,1),(106,1)}
        46:{1,3,4,5,7}:{(31,1),(61,1),(65,1),(66,1),(73,1),(113,1),(119,1),(153,1),(164,1),(193,1)}
        47:{1,3,4,7}:{(33,1),(58,1),(68,1),(72,1)}
        48:{1,2,3,5,7}:{(32,1),(35,1),(59,1),(69,1),(70,1),(71,1),(116,1),(119,1),(155,1),(167,1),(196,1)}
        49:{1,2,4,6,7}:{(32,1),(36,1),(60,1),(67,1),(69,1),(70,1),(75,1),(120,1),(199,1)}
        50:{1,2,5,7}:{(33,1),(37,1),(62,1),(68,1),(71,1)}
        51:{3,5,7}:{(34,1),(38,1),(63,1),(72,1)}
        52:{1,4,7}:{(35,1),(64,1),(72,1)}
        53:{1,3,5,7}:{(36,1),(65,1),(70,1),(73,1),(74,1),(76,1),(119,1)}
        54:{2,3,6,7}:{(37,1),(38,1),(71,1),(75,1),(168,1)}
        55:{3,4,6,7}:{(38,1),(39,1),(72,1),(75,1),(76,1),(123,1)}
        56:{1,4,5,7}:{(39,1),(76,1),(77,1)}
        57:{2,3,4,7}:{(41,1),(79,1),(80,1),(92,1),(176,1)}
        58:{1,3,4,6}:{(42,1),(47,1),(78,1),(81,1),(86,1)}
        59:{1,2,3,5,6}:{(40,1),(44,1),(48,1),(82,1),(83,1),(85,1),(94,1),(129,1),(131,1),(134,1),(146,1),(177,1),(179,1),(186,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(45,1),(79,1),(83,1)}
        61:{1,2,4,5,7}:{(41,1),(46,1),(80,1),(83,1),(84,1),(128,1),(136,1),(176,1)}
        62:{1,2,5,6}:{(42,1),(50,1),(81,1),(85,1),(177,1),(186,1)}
        63:{3,5,6}:{(43,1),(51,1),(86,1),(134,1),(146,1)}
        64:{1,4,6}:{(44,1),(52,1),(86,1),(87,1)}
        65:{1,3,5}:{(45,1),(83,1),(87,1),(134,1)}
        66:{1,3,4,6}:{(46,1),(84,1),(88,1),(97,1),(146,1),(175,1),(184,1)}
        67:{2,3,4,6,7}:{(49,1),(79,1),(90,1),(92,1),(130,1),(141,1),(146,1),(176,1),(185,1)}
        68:{1,2,4,7}:{(47,1),(50,1),(81,1),(91,1),(95,1)}
        69:{1,2,4,7}:{(48,1),(52,1),(82,1),(92,1),(95,1),(176,1),(204,1)}
        70:{1,2,5,7}:{(49,1),(53,1),(83,1),(90,1),(94,1),(99,1),(206,1)}
        71:{2,3,5,7}:{(50,1),(51,1),(54,1),(85,1),(91,1),(95,1),(99,1)}
        72:{3,4,7}:{(51,1),(52,1),(86,1),(95,1)}
        73:{1,4,5,7}:{(52,1),(53,1),(87,1),(96,1),(97,1)}
        74:{1,3,5,6}:{(53,1),(94,1),(97,1),(100,1),(146,1)}
        75:{2,4,6,7}:{(54,1),(55,1),(95,1),(99,1),(148,1)}
        76:{3,5,7}:{(55,1),(56,1),(99,1),(100,1)}
        77:{1,4,5,6}:{(56,1),(97,1),(100,1)}
        78:{1,3,4,5}:{(58,1),(102,1),(111,1),(158,1),(189,1)}
        79:{2,3,4,6}:{(57,1),(60,1),(103,1),(104,1),(106,1),(154,1)}
        80:{2,3,5,7}:{(57,1),(61,1),(103,1),(104,1),(119,1)}
        81:{1,2,4,6}:{(58,1),(62,1),(68,1),(102,1),(105,1),(110,1)}
        82:{1,2,4,6}:{(59,1),(64,1),(69,1),(106,1),(107,1),(110,1),(154,1),(192,1)}
        83:{1,2,5}:{(60,1),(65,1),(103,1)}
        84:{1,2,4,6}:{(61,1),(66,1),(104,1),(108,1),(154,1)}
        85:{2,3,5,6}:{(62,1),(63,1),(71,1),(105,1),(110,1),(125,1),(157,1),(168,1)}
        86:{3,4,6}:{(63,1),(64,1),(72,1),(110,1),(111,1)}
        87:{1,4,5}:{(64,1),(65,1),(111,1)}
        88:{1,3,5,6}:{(65,1),(66,1),(108,1),(112,1),(113,1),(159,1),(197,1)}
        89:{1,3,4,6,7}:{(66,1),(109,1),(113,1),(124,1),(170,1),(193,1),(199,1)}
        90:{2,3,5,7}:{(67,1),(70,1),(103,1),(114,1),(115,1),(119,1),(198,1)}
        91:{2,3,7}:{(68,1),(105,1)}
        92:{3,4,7}:{(69,1),(106,1),(119,1)}
        93:{1,2,4,5,7}:{(69,1),(70,1),(73,1),(107,1),(114,1),(119,1),(120,1),(122,1),(164,1),(167,1)}
        94:{1,2,5,6}:{(70,1),(74,1),(115,1),(120,1),(125,1),(197,1)}
        95:{2,4,7}:{(71,1),(72,1),(110,1)}
        96:{3,4,5,7}:{(72,1),(73,1),(76,1),(111,1),(119,1),(122,1),(123,1)}
        97:{1,4,6}:{(73,1),(74,1),(123,1)}
        98:{1,3,5,6,7}:{(74,1),(113,1),(121,1),(124,1),(126,1),(170,1)}
        99:{2,5,7}:{(75,1),(76,1),(125,1)}
       100:{3,5,6}:{(76,1),(77,1),(123,1),(125,1)}
       101:{1,4,5,6,7}:{(77,1),(124,1),(126,1)}
       102:{1,2,4,5}:{(78,1),(81,1),(127,1),(137,1),(172,1),(177,1)}
       103:{2,3,5}:{(79,1),(83,1),(128,1),(134,1)}
       104:{2,3,6}:{(80,1),(84,1),(146,1)}
       105:{2,3,6}:{(81,1),(91,1),(127,1)}
       106:{3,4,6}:{(82,1),(92,1),(134,1),(146,1)}
       107:{1,2,4,5}:{(82,1),(83,1),(87,1),(128,1),(134,1),(137,1),(174,1),(177,1)}
       108:{1,2,5,6}:{(83,1),(84,1),(88,1),(129,1),(136,1)}
       109:{1,2,4,6,7}:{(84,1),(89,1),(130,1),(136,1),(176,1)}
       110:{2,4,6}:{(85,1),(86,1),(95,1),(137,1)}
       111:{3,4,5}:{(86,1),(87,1),(134,1),(137,1)}
       112:{1,4,5,6}:{(87,1),(88,1),(97,1),(138,1),(139,1)}
       113:{1,3,5,7}:{(88,1),(89,1),(136,1),(139,1),(180,1),(206,1)}
       114:{2,4,5,7}:{(90,1),(128,1),(140,1),(141,1),(176,1)}
       115:{2,3,5,6}:{(90,1),(94,1),(141,1),(146,1),(182,1)}
       116:{1,2,3,7}:{(91,1),(131,1),(143,1),(209,1)}
       117:{2,3,4,7}:{(91,1),(92,1),(95,1),(132,1),(143,1),(144,1)}
       118:{1,3,4,7}:{(92,1),(133,1),(143,1),(145,1),(204,1),(209,1)}
       119:{3,5,7}:{(92,1),(93,1),(134,1),(146,1)}
       120:{1,2,4,6}:{(93,1),(94,1),(97,1),(141,1),(146,1),(148,1),(184,1),(186,1)}
       121:{1,2,5,6,7}:{(94,1),(98,1),(136,1),(142,1),(147,1),(150,1),(206,1)}
       122:{2,4,5,7}:{(95,1),(96,1),(99,1),(137,1),(144,1),(148,1)}
       123:{3,4,6}:{(96,1),(97,1),(100,1),(146,1),(148,1)}
       124:{1,4,6,7}:{(97,1),(98,1),(139,1),(149,1)}
       125:{2,5,6}:{(99,1),(100,1),(148,1)}
       126:{3,5,6,7}:{(100,1),(101,1),(149,1),(150,1)}
       127:{2,3,5}:{(102,1),(105,1),(152,1)}
       128:{2,4,5}:{(103,1),(153,1),(154,1)}
       129:{2,3,5,6}:{(103,1),(104,1),(108,1),(154,1),(155,1),(159,1)}
       130:{2,3,6,7}:{(104,1),(109,1),(155,1),(170,1)}
       131:{1,2,3,6}:{(105,1),(116,1),(151,1),(156,1),(207,1)}
       132:{2,3,4,6}:{(105,1),(106,1),(110,1),(117,1),(152,1),(156,1),(157,1),(168,1)}
       133:{1,3,4,6}:{(106,1),(118,1),(156,1),(158,1),(169,1),(189,1),(192,1),(207,1)}
       134:{3,5}:{(106,1),(107,1)}
       135:{1,2,4,5,6}:{(107,1),(108,1),(112,1),(120,1),(154,1),(159,1),(160,1),(161,1),(163,1),(192,1),(194,1),(197,1)}
       136:{1,2,5,7}:{(108,1),(109,1),(113,1),(155,1)}
       137:{2,4,5}:{(110,1),(111,1),(157,1)}
       138:{3,4,5,6}:{(111,1),(112,1),(123,1),(159,1),(161,1),(162,1)}
       139:{1,4,5,7}:{(112,1),(113,1),(124,1),(162,1)}
       140:{3,4,5,7}:{(114,1),(119,1),(153,1),(164,1),(165,1),(193,1),(198,1)}
       141:{2,4,6}:{(114,1),(115,1),(165,1)}
       142:{2,3,5,6,7}:{(115,1),(121,1),(155,1),(166,1),(170,1),(198,1)}
       143:{1,2,4,7}:{(116,1),(117,1),(118,1),(156,1),(167,1)}
       144:{2,3,5,7}:{(117,1),(119,1),(122,1),(157,1),(167,1),(168,1)}
       145:{1,3,5,7}:{(118,1),(119,1),(158,1),(164,1),(167,1),(169,1)}
       146:{3,6}:{(119,1),(120,1)}
       147:{1,2,4,6,7}:{(120,1),(121,1),(124,1),(160,1),(166,1),(170,1),(171,1),(199,1),(200,1)}
       148:{2,4,6}:{(122,1),(123,1),(125,1),(168,1)}
       149:{3,4,6,7}:{(123,1),(124,1),(126,1),(162,1),(170,1),(171,1)}
       150:{2,5,6,7}:{(125,1),(126,1),(171,1)}
       151:{1,2,3,5}:{(127,1),(131,1),(172,1),(177,1),(201,1)}
       152:{2,3,4}:{(127,1),(172,1)}
       153:{3,4,5}:{(128,1),(134,1),(174,1),(175,1)}
       154:{2,4,6}:{(128,1),(129,1),(175,1),(176,1)}
       155:{2,3,5,7}:{(129,1),(130,1),(136,1),(176,1),(180,1)}
       156:{1,2,4,6}:{(131,1),(132,1),(133,1),(143,1),(172,1),(177,1),(186,1)}
       157:{2,3,5}:{(132,1),(134,1),(137,1),(177,1)}
       158:{1,3,5}:{(133,1),(134,1),(174,1),(177,1)}
       159:{3,5,6}:{(134,1),(135,1),(146,1),(175,1),(180,1)}
       160:{1,2,4,5,7}:{(135,1),(136,1),(139,1),(147,1),(176,1),(180,1),(181,1),(183,1),(204,1),(205,1),(206,1)}
       161:{2,4,5,6}:{(137,1),(138,1),(148,1),(178,1),(181,1)}
       162:{3,4,5,7}:{(138,1),(139,1),(149,1),(180,1),(181,1)}
       163:{2,4,5,6}:{(141,1),(182,1),(183,1)}
       164:{1,4,5,7}:{(140,1),(145,1),(174,1),(184,1),(204,1),(206,1)}
       165:{3,4,6}:{(140,1),(141,1),(146,1),(182,1),(184,1)}
       166:{2,4,6,7}:{(141,1),(142,1),(176,1),(183,1),(185,1)}
       167:{1,2,5,7}:{(143,1),(144,1),(145,1),(177,1),(186,1)}
       168:{2,3,6}:{(144,1),(146,1),(148,1),(186,1)}
       169:{1,3,6}:{(145,1),(146,1),(184,1),(186,1)}
       170:{3,6,7}:{(146,1),(147,1),(180,1)}
       171:{2,4,6,7}:{(148,1),(149,1),(150,1),(181,1),(187,1)}
       172:{1,2,4}:{(151,1),(152,1),(189,1)}
       173:{2,3,4,5}:{(152,1),(153,1),(157,1),(190,1),(191,1)}
       174:{1,4,5}:{(153,1),(158,1),(192,1)}
       175:{3,4,6}:{(153,1),(154,1),(159,1),(192,1),(193,1)}
       176:{2,4,7}:{(154,1),(155,1),(193,1)}
       177:{1,2,5}:{(156,1),(157,1),(158,1)}
       178:{2,3,5,6}:{(157,1),(159,1),(161,1),(168,1),(191,1),(194,1),(195,1)}
       179:{1,3,5,6}:{(158,1),(159,1),(169,1),(192,1),(194,1),(196,1),(197,1),(207,1)}
       180:{3,5,7}:{(159,1),(160,1),(170,1),(193,1)}
       181:{2,4,5,7}:{(161,1),(162,1),(171,1),(195,1)}
       182:{3,5,6}:{(163,1),(165,1),(197,1),(198,1)}
       183:{2,4,5,7}:{(163,1),(166,1),(198,1)}
       184:{1,4,6}:{(164,1),(165,1),(169,1),(197,1)}
       185:{3,4,6,7}:{(165,1),(166,1),(170,1),(193,1),(198,1),(199,1)}
       186:{1,2,6}:{(167,1),(168,1),(169,1)}
       187:{2,3,6,7}:{(168,1),(170,1),(171,1),(195,1),(200,1)}
       188:{1,3,6,7}:{(169,1),(170,1),(196,1),(199,1),(200,1)}
       189:{1,3,4}:{(172,1),(201,1)}
       190:{1,2,4,5}:{(172,1),(173,1),(174,1),(177,1),(201,1),(202,1)}
       191:{2,3,4,6}:{(173,1),(175,1),(178,1),(202,1),(203,1)}
       192:{1,4,6}:{(174,1),(175,1),(179,1),(204,1)}
       193:{3,4,7}:{(175,1),(176,1),(180,1),(204,1)}
       194:{1,2,5,6}:{(177,1),(178,1),(179,1),(186,1),(202,1),(205,1)}
       195:{2,3,5,7}:{(178,1),(180,1),(181,1),(187,1),(203,1),(205,1)}
       196:{1,3,5,7}:{(179,1),(180,1),(188,1),(204,1),(205,1),(206,1),(209,1)}
       197:{1,5,6}:{(182,1),(184,1),(206,1)}
       198:{3,5,7}:{(182,1),(183,1),(185,1),(206,1)}
       199:{1,4,6,7}:{(184,1),(185,1),(188,1),(204,1),(206,1)}
       200:{1,2,6,7}:{(186,1),(187,1),(188,1),(205,1)}
       201:{1,3,5}:{(189,1),(190,1),(207,1)}
       202:{1,2,4,6}:{(190,1),(191,1),(192,1),(194,1),(207,1),(208,1)}
       203:{2,3,4,7}:{(191,1),(193,1),(195,1),(208,1)}
       204:{1,4,7}:{(192,1),(193,1),(196,1)}
       205:{1,2,5,7}:{(194,1),(195,1),(196,1),(200,1),(208,1)}
       206:{1,5,7}:{(197,1),(198,1),(199,1)}
       207:{1,3,6}:{(201,1),(202,1),(209,1)}
       208:{1,2,4,7}:{(202,1),(203,1),(204,1),(205,1),(209,1)}
       209:{1,3,7}:{(207,1),(208,1)}

1550 :   0:{2,3,4,5,7}:{(2,1),(3,1),(16,1),(23,1),(64,1),(106,1),(109,1),(118,1),(159,1),(170,1)}
         1:{1,3,4,5,7}:{(4,1),(5,1),(17,1),(22,1),(54,1),(105,1),(119,1),(122,1),(159,1),(179,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(27,1),(31,1),(70,1),(77,1),(80,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(81,1),(150,1),(183,1),(191,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(27,1),(39,1),(70,1),(89,1),(92,1)}
         5:{1,3,4,6}:{(1,1),(12,1),(13,1),(93,1),(137,1),(183,1),(196,1)}
         6:{2,3,4,6,7}:{(3,1),(15,1),(16,1),(49,1),(102,1),(106,1),(167,1)}
         7:{1,3,5,7}:{(2,1),(17,1),(18,1),(54,1),(159,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(18,1),(19,1),(55,1)}
         9:{2,3,5,6}:{(3,1),(16,1),(19,1),(20,1),(56,1),(64,1),(204,1)}
        10:{1,3,4,6,7}:{(5,1),(21,1),(22,1),(59,1),(115,1),(119,1),(176,1)}
        11:{2,3,5,7}:{(4,1),(23,1),(24,1),(64,1),(159,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(24,1),(25,1),(65,1)}
        13:{1,3,5,6}:{(5,1),(22,1),(25,1),(26,1),(54,1),(66,1),(206,1)}
        14:{1,2,3,5,7}:{(7,1),(11,1),(27,1),(28,1),(70,1)}
        15:{1,2,4,6,7}:{(6,1),(8,1),(30,1),(31,1),(77,1)}
        16:{2,3,5,7}:{(6,1),(9,1),(31,1),(32,1),(78,1),(190,1)}
        17:{1,3,4,7}:{(7,1),(27,1),(33,1),(77,1),(128,1)}
        18:{1,3,6}:{(7,1),(8,1),(183,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(70,1)}
        20:{2,4,5,6}:{(9,1),(32,1),(36,1),(92,1),(150,1)}
        21:{1,2,4,6,7}:{(10,1),(12,1),(38,1),(39,1),(89,1)}
        22:{1,3,5,7}:{(10,1),(13,1),(39,1),(40,1),(90,1),(195,1)}
        23:{2,3,4,7}:{(11,1),(27,1),(41,1),(89,1),(128,1)}
        24:{2,3,6}:{(11,1),(12,1),(183,1)}
        25:{1,2,5,6}:{(12,1),(13,1),(39,1),(42,1),(70,1)}
        26:{1,4,5,6}:{(13,1),(40,1),(44,1),(80,1),(137,1)}
        27:{1,2,4,7}:{(14,1),(17,1),(23,1),(46,1)}
        28:{1,2,3,6}:{(14,1),(18,1),(24,1),(46,1)}
        29:{2,3,5,6,7}:{(16,1),(48,1),(49,1),(100,1),(102,1),(117,1)}
        30:{1,3,6,7}:{(15,1),(18,1),(51,1),(102,1)}
        31:{1,2,5,7}:{(15,1),(16,1),(19,1),(51,1)}
        32:{2,4,5,7}:{(16,1),(20,1),(49,1),(53,1)}
        33:{1,3,4,6}:{(17,1),(18,1),(46,1),(54,1),(55,1),(99,1)}
        34:{1,3,5,6}:{(18,1),(19,1),(51,1),(54,1),(55,1),(56,1)}
        35:{1,2,4,5,6}:{(19,1),(20,1),(52,1),(55,1),(56,1),(57,1),(98,1),(111,1),(112,1),(158,1),(165,1),(204,1)}
        36:{3,4,5,6}:{(20,1),(53,1),(56,1),(57,1),(122,1),(178,1)}
        37:{1,3,5,6,7}:{(22,1),(58,1),(59,1),(104,1),(113,1),(115,1)}
        38:{2,3,6,7}:{(21,1),(24,1),(61,1),(115,1)}
        39:{1,2,5,7}:{(21,1),(22,1),(25,1),(61,1)}
        40:{1,4,5,7}:{(22,1),(26,1),(59,1),(63,1)}
        41:{2,3,4,6}:{(23,1),(24,1),(46,1),(64,1),(65,1),(99,1)}
        42:{2,3,5,6}:{(24,1),(25,1),(61,1),(64,1),(65,1),(66,1)}
        43:{1,2,4,5,6}:{(25,1),(26,1),(62,1),(65,1),(66,1),(67,1),(98,1),(123,1),(125,1),(158,1),(174,1),(206,1)}
        44:{3,4,5,6}:{(26,1),(63,1),(66,1),(67,1),(109,1),(169,1)}
        45:{1,2,3,6,7}:{(28,1),(30,1),(38,1),(68,1),(69,1),(136,1),(148,1),(183,1),(208,1)}
        46:{1,2,4,6}:{(27,1),(28,1),(33,1),(41,1),(70,1)}
        47:{1,2,3,5,6}:{(28,1),(34,1),(42,1),(69,1),(70,1),(71,1),(83,1),(94,1),(126,1),(129,1),(183,1),(187,1),(188,1),(208,1)}
        48:{1,2,5,6,7}:{(29,1),(31,1),(73,1),(74,1),(126,1),(132,1),(190,1)}
        49:{2,4,6,7}:{(29,1),(32,1),(75,1),(150,1)}
        50:{1,3,4,6,7}:{(30,1),(33,1),(68,1),(76,1),(77,1),(128,1),(134,1),(137,1),(183,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(34,1),(77,1),(78,1)}
        52:{1,2,4,5,7}:{(31,1),(32,1),(35,1),(74,1),(77,1),(78,1),(79,1),(133,1),(140,1),(141,1),(190,1)}
        53:{3,4,5,7}:{(32,1),(36,1),(75,1),(78,1),(79,1)}
        54:{1,3,5}:{(33,1),(70,1),(80,1),(129,1)}
        55:{1,4,6}:{(34,1),(77,1),(80,1),(81,1)}
        56:{3,5,6}:{(35,1),(78,1),(81,1),(129,1),(183,1)}
        57:{1,4,5,6}:{(36,1),(79,1),(82,1),(155,1),(196,1)}
        58:{1,2,5,6,7}:{(37,1),(39,1),(85,1),(86,1),(126,1),(145,1),(195,1)}
        59:{1,4,6,7}:{(37,1),(40,1),(87,1),(137,1)}
        60:{2,3,4,6,7}:{(38,1),(41,1),(68,1),(88,1),(89,1),(128,1),(147,1),(150,1),(183,1)}
        61:{2,3,5,7}:{(38,1),(39,1),(42,1),(89,1),(90,1)}
        62:{1,2,4,5,7}:{(39,1),(40,1),(43,1),(86,1),(89,1),(90,1),(91,1),(146,1),(152,1),(154,1),(195,1)}
        63:{3,4,5,7}:{(40,1),(44,1),(87,1),(90,1),(91,1)}
        64:{2,3,5}:{(41,1),(70,1),(92,1),(129,1)}
        65:{2,4,6}:{(42,1),(89,1),(92,1),(93,1)}
        66:{3,5,6}:{(43,1),(90,1),(93,1),(129,1),(183,1)}
        67:{2,4,5,6}:{(44,1),(91,1),(95,1),(143,1),(191,1)}
        68:{1,2,4,6,7}:{(45,1),(46,1),(50,1),(60,1),(96,1),(97,1),(158,1),(167,1),(176,1)}
        69:{1,2,3,5,7}:{(45,1),(47,1),(51,1),(61,1),(96,1),(97,1),(108,1),(120,1),(159,1),(201,1),(202,1)}
        70:{1,2,5}:{(46,1),(54,1),(64,1)}
        71:{1,2,4,6}:{(47,1),(55,1),(65,1),(97,1),(98,1),(99,1),(111,1),(123,1)}
        72:{2,4,5,6,7}:{(49,1),(100,1),(174,1)}
        73:{1,3,5,6,7}:{(48,1),(51,1),(101,1),(102,1),(104,1),(166,1)}
        74:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(101,1),(102,1),(103,1),(158,1),(167,1),(168,1)}
        75:{3,4,6,7}:{(49,1),(53,1),(100,1),(102,1),(103,1),(178,1)}
        76:{1,3,5,7}:{(50,1),(54,1),(96,1),(104,1),(105,1),(159,1),(166,1)}
        77:{1,4,7}:{(51,1),(55,1),(106,1)}
        78:{3,5,7}:{(52,1),(56,1),(102,1),(106,1)}
        79:{1,4,5,7}:{(53,1),(57,1),(103,1),(107,1)}
        80:{1,4,5}:{(54,1),(55,1),(109,1)}
        81:{3,4,6}:{(55,1),(56,1),(106,1),(109,1),(111,1)}
        82:{1,3,5,6}:{(56,1),(57,1),(107,1),(110,1),(112,1),(162,1),(199,1)}
        83:{2,3,5,6}:{(56,1),(108,1),(111,1),(112,1),(163,1),(173,1),(200,1),(204,1)}
        84:{1,4,5,6,7}:{(59,1),(113,1),(165,1)}
        85:{2,3,5,6,7}:{(58,1),(61,1),(114,1),(115,1),(117,1),(175,1)}
        86:{1,2,4,6,7}:{(58,1),(59,1),(62,1),(114,1),(115,1),(116,1),(158,1),(176,1),(177,1)}
        87:{3,4,6,7}:{(59,1),(63,1),(113,1),(115,1),(116,1),(169,1)}
        88:{2,3,5,7}:{(60,1),(64,1),(96,1),(117,1),(118,1),(159,1),(175,1)}
        89:{2,4,7}:{(61,1),(65,1),(119,1)}
        90:{3,5,7}:{(62,1),(66,1),(115,1),(119,1)}
        91:{2,4,5,7}:{(63,1),(67,1),(116,1),(121,1)}
        92:{2,4,5}:{(64,1),(65,1),(122,1)}
        93:{3,4,6}:{(65,1),(66,1),(119,1),(122,1),(123,1)}
        94:{1,3,5,6}:{(66,1),(120,1),(123,1),(125,1),(162,1),(182,1),(199,1),(206,1)}
        95:{2,3,5,6}:{(66,1),(67,1),(121,1),(124,1),(125,1),(163,1),(200,1)}
        96:{1,2,5,7}:{(68,1),(70,1),(76,1),(88,1),(126,1),(190,1),(195,1)}
        97:{1,2,4,7}:{(69,1),(71,1),(77,1),(89,1),(128,1),(140,1),(152,1)}
        98:{1,2,4,5}:{(70,1),(71,1),(80,1),(92,1),(129,1),(143,1),(155,1),(187,1)}
        99:{3,4,6}:{(71,1),(128,1),(129,1),(183,1)}
       100:{3,5,6,7}:{(72,1),(75,1),(132,1),(194,1)}
       101:{1,4,6,7}:{(73,1),(77,1),(133,1),(134,1),(137,1)}
       102:{3,6,7}:{(74,1),(78,1),(183,1)}
       103:{1,4,6,7}:{(75,1),(79,1),(132,1),(135,1),(196,1)}
       104:{1,3,5,6}:{(76,1),(126,1),(137,1),(183,1),(189,1)}
       105:{1,4,5,7}:{(76,1),(77,1),(80,1),(137,1),(138,1)}
       106:{3,4,7}:{(77,1),(78,1),(81,1),(140,1)}
       107:{1,3,5,7}:{(78,1),(79,1),(82,1),(135,1),(139,1),(141,1)}
       108:{2,3,5,7}:{(78,1),(83,1),(136,1),(140,1),(141,1),(190,1),(192,1)}
       109:{3,4,5}:{(80,1),(81,1),(129,1),(143,1)}
       110:{1,3,4,6}:{(81,1),(82,1),(139,1),(142,1),(144,1)}
       111:{2,4,6}:{(81,1),(83,1),(140,1),(143,1)}
       112:{1,2,5,6}:{(82,1),(83,1),(141,1),(144,1),(187,1),(208,1)}
       113:{3,5,6,7}:{(84,1),(87,1),(145,1),(189,1)}
       114:{2,4,6,7}:{(85,1),(89,1),(146,1),(147,1),(150,1)}
       115:{3,6,7}:{(86,1),(90,1),(183,1)}
       116:{2,4,6,7}:{(87,1),(91,1),(145,1),(149,1),(191,1)}
       117:{2,3,5,6}:{(88,1),(126,1),(150,1),(183,1),(194,1)}
       118:{2,4,5,7}:{(88,1),(89,1),(92,1),(150,1),(151,1)}
       119:{3,4,7}:{(89,1),(90,1),(93,1),(152,1)}
       120:{1,3,5,7}:{(90,1),(94,1),(148,1),(152,1),(154,1),(195,1),(197,1)}
       121:{2,3,5,7}:{(90,1),(91,1),(95,1),(149,1),(153,1),(154,1)}
       122:{3,4,5}:{(92,1),(93,1),(129,1),(155,1)}
       123:{1,4,6}:{(93,1),(94,1),(152,1),(155,1)}
       124:{2,3,4,6}:{(93,1),(95,1),(153,1),(156,1),(157,1)}
       125:{1,2,5,6}:{(94,1),(95,1),(154,1),(157,1),(187,1),(208,1)}
       126:{1,2,5,6}:{(96,1),(104,1),(117,1),(158,1),(204,1),(206,1)}
       127:{1,2,4,5,7}:{(96,1),(97,1),(98,1),(105,1),(118,1),(158,1),(159,1),(170,1),(179,1),(201,1)}
       128:{3,4,7}:{(97,1),(99,1),(159,1)}
       129:{3,5}:{(98,1),(99,1)}
       130:{1,3,4,6}:{(99,1),(123,1),(160,1),(162,1),(164,1),(182,1),(199,1),(207,1)}
       131:{2,3,4,6}:{(99,1),(111,1),(161,1),(163,1),(164,1),(173,1),(200,1),(205,1)}
       132:{1,5,6,7}:{(100,1),(103,1),(206,1)}
       133:{1,4,5,7}:{(101,1),(165,1),(166,1)}
       134:{3,4,6,7}:{(101,1),(102,1),(106,1),(166,1),(167,1),(169,1)}
       135:{1,3,6,7}:{(102,1),(103,1),(107,1),(168,1),(199,1)}
       136:{2,3,6,7}:{(102,1),(108,1),(167,1),(168,1),(200,1)}
       137:{1,4,6}:{(104,1),(105,1),(169,1)}
       138:{3,4,5,7}:{(105,1),(106,1),(109,1),(159,1),(166,1),(169,1),(170,1)}
       139:{1,3,4,7}:{(106,1),(107,1),(110,1),(171,1)}
       140:{2,4,7}:{(106,1),(108,1),(111,1)}
       141:{1,2,5,7}:{(107,1),(108,1),(112,1),(168,1),(171,1)}
       142:{1,3,4,5}:{(109,1),(110,1),(162,1),(172,1),(207,1)}
       143:{2,4,5}:{(109,1),(111,1),(163,1)}
       144:{1,2,4,6}:{(110,1),(111,1),(112,1),(171,1),(172,1),(173,1)}
       145:{2,5,6,7}:{(113,1),(116,1),(204,1)}
       146:{2,4,5,7}:{(114,1),(174,1),(175,1)}
       147:{3,4,6,7}:{(114,1),(115,1),(119,1),(175,1),(176,1),(178,1)}
       148:{1,3,6,7}:{(115,1),(120,1),(176,1),(177,1),(199,1)}
       149:{2,3,6,7}:{(115,1),(116,1),(121,1),(177,1),(200,1)}
       150:{2,4,6}:{(117,1),(118,1),(178,1)}
       151:{3,4,5,7}:{(118,1),(119,1),(122,1),(159,1),(175,1),(178,1),(179,1)}
       152:{1,4,7}:{(119,1),(120,1),(123,1)}
       153:{2,3,4,7}:{(119,1),(121,1),(124,1),(180,1)}
       154:{1,2,5,7}:{(120,1),(121,1),(125,1),(177,1),(180,1)}
       155:{1,4,5}:{(122,1),(123,1),(162,1)}
       156:{2,3,4,5}:{(122,1),(124,1),(163,1),(181,1),(205,1)}
       157:{1,2,4,6}:{(123,1),(124,1),(125,1),(180,1),(181,1),(182,1)}
       158:{1,2,4,6}:{(126,1),(127,1),(137,1),(150,1),(183,1),(191,1),(196,1),(208,1)}
       159:{3,5,7}:{(127,1),(128,1),(129,1),(183,1)}
       160:{1,3,4,7}:{(128,1),(130,1),(152,1),(184,1),(186,1),(197,1)}
       161:{2,3,4,7}:{(128,1),(131,1),(140,1),(185,1),(186,1),(192,1)}
       162:{1,3,5}:{(129,1),(130,1),(155,1),(187,1)}
       163:{2,3,5}:{(129,1),(131,1),(143,1),(187,1)}
       164:{1,2,4,6}:{(130,1),(131,1),(186,1),(187,1),(188,1),(208,1),(209,1)}
       165:{1,4,5,6}:{(133,1),(137,1),(189,1)}
       166:{3,5,7}:{(133,1),(134,1),(189,1),(190,1)}
       167:{2,4,6,7}:{(134,1),(136,1),(140,1),(190,1),(191,1)}
       168:{1,2,6,7}:{(135,1),(136,1),(141,1),(208,1)}
       169:{3,4,6}:{(137,1),(138,1),(183,1),(189,1),(191,1)}
       170:{2,4,5,7}:{(138,1),(140,1),(143,1),(185,1),(190,1),(191,1)}
       171:{1,2,4,7}:{(139,1),(140,1),(141,1),(144,1),(192,1)}
       172:{1,2,4,5}:{(142,1),(143,1),(144,1),(187,1),(193,1),(209,1)}
       173:{2,3,6}:{(144,1),(192,1),(193,1)}
       174:{2,4,5,6}:{(146,1),(150,1),(194,1)}
       175:{3,5,7}:{(146,1),(147,1),(194,1),(195,1)}
       176:{1,4,6,7}:{(147,1),(148,1),(152,1),(195,1),(196,1)}
       177:{1,2,6,7}:{(148,1),(149,1),(154,1),(208,1)}
       178:{3,4,6}:{(150,1),(151,1),(183,1),(194,1),(196,1)}
       179:{1,4,5,7}:{(151,1),(152,1),(155,1),(184,1),(195,1),(196,1)}
       180:{1,2,4,7}:{(152,1),(153,1),(154,1),(157,1),(197,1)}
       181:{1,2,4,5}:{(155,1),(156,1),(157,1),(187,1),(198,1),(209,1)}
       182:{1,3,6}:{(157,1),(197,1),(198,1)}
       183:{3,6}:{(158,1),(159,1)}
       184:{1,3,5,7}:{(159,1),(160,1),(162,1),(179,1),(199,1),(201,1)}
       185:{2,3,5,7}:{(159,1),(161,1),(163,1),(170,1),(200,1),(201,1)}
       186:{1,2,4,7}:{(160,1),(161,1),(164,1),(201,1),(202,1)}
       187:{1,2,5}:{(162,1),(163,1),(164,1)}
       188:{1,2,3,6}:{(164,1),(173,1),(182,1),(202,1),(203,1)}
       189:{3,5,6}:{(165,1),(166,1),(169,1),(204,1)}
       190:{2,5,7}:{(166,1),(167,1),(204,1)}
       191:{2,4,6}:{(169,1),(170,1),(200,1),(204,1)}
       192:{2,3,7}:{(171,1),(173,1)}
       193:{2,3,5}:{(172,1),(173,1),(205,1)}
       194:{3,5,6}:{(174,1),(175,1),(178,1),(206,1)}
       195:{1,5,7}:{(175,1),(176,1),(206,1)}
       196:{1,4,6}:{(178,1),(179,1),(199,1),(206,1)}
       197:{1,3,7}:{(180,1),(182,1)}
       198:{1,3,5}:{(181,1),(182,1),(207,1)}
       199:{1,3,6}:{(183,1),(184,1),(196,1),(208,1)}
       200:{2,3,6}:{(183,1),(185,1),(191,1),(208,1)}
       201:{1,2,5,7}:{(184,1),(185,1),(186,1),(187,1),(208,1)}
       202:{1,2,3,7}:{(186,1),(188,1),(192,1),(197,1)}
       203:{1,2,3,5}:{(187,1),(188,1),(193,1),(198,1),(209,1)}
       204:{2,5,6}:{(189,1),(190,1),(191,1)}
       205:{2,3,4}:{(193,1),(209,1)}
       206:{1,5,6}:{(194,1),(195,1),(196,1)}
       207:{1,3,4}:{(198,1),(209,1)}
       208:{1,2,6}:{(199,1),(200,1),(201,1)}
       209:{1,2,4}:{(203,1),(205,1),(207,1)}

1551 :   0:{2,3,4,5}:{(2,1),(3,1),(32,1),(89,1),(142,1)}
         1:{1,3,4,5}:{(4,1),(5,1),(24,1),(77,1),(152,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(9,1),(107,1)}
         3:{1,2,4,5}:{(0,1),(9,1),(10,1),(36,1),(99,1),(110,1)}
         4:{1,3,4,6}:{(1,1),(12,1),(13,1),(14,1),(119,1)}
         5:{1,2,4,5}:{(1,1),(14,1),(15,1),(36,1),(99,1),(122,1)}
         6:{3,4,5,6}:{(17,1),(18,1),(19,1),(72,1),(152,1),(203,1),(226,1)}
         7:{2,3,5,6}:{(2,1),(19,1),(20,1),(21,1),(72,1),(89,1),(155,1)}
         8:{2,3,4,7}:{(2,1),(20,1),(22,1),(141,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(21,1),(22,1),(23,1),(75,1)}
        10:{1,3,5}:{(3,1),(23,1),(24,1)}
        11:{3,4,5,6}:{(25,1),(26,1),(27,1),(84,1),(142,1),(197,1),(228,1)}
        12:{1,3,5,6}:{(4,1),(26,1),(28,1),(29,1),(77,1),(84,1),(145,1)}
        13:{1,3,4,7}:{(4,1),(28,1),(30,1),(151,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(29,1),(30,1),(31,1),(87,1)}
        15:{2,3,5}:{(5,1),(31,1),(32,1)}
        16:{1,2,3,5}:{(10,1),(15,1),(35,1),(36,1),(99,1)}
        17:{3,4,5,7}:{(6,1),(39,1),(40,1),(41,1),(106,1),(214,1)}
        18:{1,4,5,6}:{(6,1),(37,1),(40,1),(177,1),(217,1)}
        19:{2,4,5,6}:{(6,1),(7,1),(41,1),(122,1),(182,1)}
        20:{2,3,5,7}:{(7,1),(8,1),(41,1),(43,1),(44,1),(106,1)}
        21:{1,2,5,6}:{(7,1),(9,1),(44,1),(45,1),(99,1),(166,1)}
        22:{1,2,4,7}:{(8,1),(9,1),(44,1),(46,1),(109,1)}
        23:{1,3,6}:{(9,1),(10,1),(46,1)}
        24:{1,3,4}:{(10,1),(36,1)}
        25:{3,4,5,7}:{(11,1),(50,1),(51,1),(52,1),(118,1),(218,1)}
        26:{1,4,5,6}:{(11,1),(12,1),(51,1),(110,1),(174,1)}
        27:{2,4,5,6}:{(11,1),(48,1),(52,1),(169,1),(213,1)}
        28:{1,3,5,7}:{(12,1),(13,1),(51,1),(54,1),(55,1),(118,1)}
        29:{1,2,5,6}:{(12,1),(14,1),(55,1),(56,1),(99,1),(166,1)}
        30:{1,2,4,7}:{(13,1),(14,1),(55,1),(57,1),(121,1)}
        31:{2,3,6}:{(14,1),(15,1),(57,1)}
        32:{2,3,4}:{(15,1),(36,1)}
        33:{2,3,4,5}:{(59,1),(60,1),(130,1),(152,1),(188,1)}
        34:{1,3,4,5}:{(61,1),(62,1),(127,1),(142,1),(186,1)}
        35:{1,2,3,6}:{(16,1),(23,1),(31,1),(64,1),(65,1)}
        36:{1,2,4}:{(16,1),(24,1),(32,1)}
        37:{1,3,5,6}:{(18,1),(61,1),(66,1),(67,1),(72,1),(186,1),(221,1)}
        38:{4,5,6,7}:{(68,1),(195,1),(228,1)}
        39:{3,4,6,7}:{(17,1),(68,1),(69,1),(70,1),(140,1),(195,1),(203,1)}
        40:{1,4,5,7}:{(17,1),(18,1),(66,1),(69,1)}
        41:{2,4,5,7}:{(17,1),(19,1),(20,1),(70,1)}
        42:{1,2,4,5,6}:{(18,1),(19,1),(21,1),(67,1),(71,1),(72,1),(75,1),(134,1),(138,1),(192,1),(198,1),(225,1),(226,1)}
        43:{2,3,6,7}:{(20,1),(70,1),(73,1),(140,1),(155,1)}
        44:{1,2,5,7}:{(20,1),(21,1),(22,1),(73,1),(74,1)}
        45:{1,3,5,6}:{(21,1),(23,1),(72,1),(74,1),(75,1),(77,1),(145,1),(198,1)}
        46:{1,3,7}:{(22,1),(23,1)}
        47:{1,3,4,6}:{(23,1),(24,1),(65,1),(75,1),(76,1),(77,1),(131,1),(145,1)}
        48:{2,3,5,6}:{(27,1),(59,1),(78,1),(79,1),(84,1),(188,1),(222,1)}
        49:{4,5,6,7}:{(80,1),(201,1),(226,1)}
        50:{3,4,6,7}:{(25,1),(80,1),(81,1),(82,1),(150,1),(197,1),(201,1)}
        51:{1,4,5,7}:{(25,1),(26,1),(28,1),(81,1)}
        52:{2,4,5,7}:{(25,1),(27,1),(78,1),(82,1)}
        53:{1,2,4,5,6}:{(26,1),(27,1),(29,1),(79,1),(83,1),(84,1),(87,1),(134,1),(148,1),(192,1),(204,1),(227,1),(228,1)}
        54:{1,3,6,7}:{(28,1),(81,1),(85,1),(145,1),(150,1)}
        55:{1,2,5,7}:{(28,1),(29,1),(30,1),(85,1),(86,1)}
        56:{2,3,5,6}:{(29,1),(31,1),(84,1),(86,1),(87,1),(89,1),(155,1),(204,1)}
        57:{2,3,7}:{(30,1),(31,1)}
        58:{2,3,4,6}:{(31,1),(32,1),(65,1),(87,1),(88,1),(89,1),(131,1),(155,1)}
        59:{2,3,4,6}:{(33,1),(48,1),(90,1),(91,1),(119,1)}
        60:{1,2,4,5}:{(33,1),(91,1),(92,1),(157,1),(177,1),(206,1)}
        61:{1,3,4,6}:{(34,1),(37,1),(93,1),(94,1),(107,1)}
        62:{1,2,4,5}:{(34,1),(94,1),(95,1),(157,1),(169,1),(206,1)}
        63:{1,2,3,5,6}:{(35,1),(45,1),(56,1),(96,1),(97,1),(99,1),(102,1),(114,1),(156,1),(163,1),(166,1),(206,1),(210,1),(211,1),(229,1)}
        64:{1,2,3,7}:{(35,1),(46,1),(57,1),(98,1)}
        65:{1,2,4,6}:{(35,1),(36,1),(47,1),(58,1),(98,1),(99,1),(166,1)}
        66:{1,3,5,7}:{(37,1),(40,1),(93,1),(100,1),(101,1),(106,1)}
        67:{1,2,5,6}:{(37,1),(94,1),(101,1),(102,1),(206,1),(229,1)}
        68:{3,5,6,7}:{(38,1),(39,1),(103,1),(104,1),(219,1)}
        69:{1,4,6,7}:{(39,1),(40,1),(100,1),(103,1),(217,1)}
        70:{2,4,6,7}:{(39,1),(41,1),(43,1),(104,1),(182,1)}
        71:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(44,1),(101,1),(105,1),(106,1),(109,1),(168,1),(173,1),(212,1),(214,1)}
        72:{3,5,6}:{(42,1),(106,1),(107,1),(163,1),(210,1)}
        73:{1,2,6,7}:{(43,1),(44,1),(108,1),(166,1)}
        74:{1,3,5,7}:{(44,1),(45,1),(46,1),(106,1),(108,1),(109,1),(173,1)}
        75:{1,4,6}:{(45,1),(107,1),(109,1),(110,1)}
        76:{1,3,4,7}:{(46,1),(47,1),(98,1),(109,1),(111,1),(162,1)}
        77:{1,3,5}:{(47,1),(99,1),(110,1),(163,1)}
        78:{2,3,5,7}:{(48,1),(52,1),(90,1),(112,1),(113,1),(118,1)}
        79:{1,2,5,6}:{(48,1),(91,1),(113,1),(114,1),(206,1),(229,1)}
        80:{3,5,6,7}:{(49,1),(50,1),(115,1),(116,1),(215,1)}
        81:{1,4,6,7}:{(50,1),(51,1),(54,1),(115,1),(174,1)}
        82:{2,4,6,7}:{(50,1),(52,1),(112,1),(116,1),(213,1)}
        83:{1,2,4,5,7}:{(51,1),(52,1),(53,1),(55,1),(113,1),(117,1),(118,1),(121,1),(176,1),(181,1),(216,1),(218,1)}
        84:{3,5,6}:{(53,1),(118,1),(119,1),(163,1),(210,1)}
        85:{1,2,6,7}:{(54,1),(55,1),(120,1),(166,1)}
        86:{2,3,5,7}:{(55,1),(56,1),(57,1),(118,1),(120,1),(121,1),(181,1)}
        87:{2,4,6}:{(56,1),(119,1),(121,1),(122,1)}
        88:{2,3,4,7}:{(57,1),(58,1),(98,1),(121,1),(123,1),(162,1)}
        89:{2,3,5}:{(58,1),(99,1),(122,1),(163,1)}
        90:{2,3,4,7}:{(59,1),(78,1),(125,1),(151,1)}
        91:{1,2,4,6}:{(59,1),(60,1),(79,1),(125,1),(126,1),(148,1)}
        92:{1,3,5}:{(60,1),(126,1),(127,1)}
        93:{1,3,4,7}:{(61,1),(66,1),(128,1),(141,1)}
        94:{1,2,4,6}:{(61,1),(62,1),(67,1),(128,1),(129,1),(138,1)}
        95:{2,3,5}:{(62,1),(129,1),(130,1)}
        96:{1,2,3,5,7}:{(63,1),(64,1),(74,1),(86,1),(132,1),(133,1),(135,1),(137,1),(147,1),(183,1),(190,1),(191,1),(220,1)}
        97:{1,2,4,6}:{(63,1),(75,1),(87,1),(131,1),(133,1),(134,1),(138,1),(148,1)}
        98:{1,2,4,7}:{(64,1),(65,1),(76,1),(88,1),(135,1)}
        99:{1,2,5}:{(65,1),(77,1),(89,1)}
       100:{1,3,6,7}:{(66,1),(69,1),(136,1),(140,1),(221,1)}
       101:{1,2,5,7}:{(66,1),(67,1),(128,1),(136,1),(137,1)}
       102:{2,3,5,6}:{(67,1),(72,1),(129,1),(137,1),(138,1),(188,1),(222,1),(225,1)}
       103:{1,5,6,7}:{(68,1),(69,1),(227,1)}
       104:{2,5,6,7}:{(68,1),(70,1),(204,1)}
       105:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(73,1),(136,1),(139,1),(140,1),(143,1),(192,1),(193,1),(195,1)}
       106:{3,5,7}:{(71,1),(72,1),(140,1),(141,1)}
       107:{3,4,6}:{(72,1),(75,1),(138,1),(141,1),(142,1)}
       108:{1,3,6,7}:{(73,1),(74,1),(140,1),(143,1),(145,1)}
       109:{1,4,7}:{(74,1),(75,1),(141,1)}
       110:{1,4,5}:{(75,1),(77,1),(142,1)}
       111:{1,3,5,7}:{(76,1),(77,1),(135,1),(144,1),(145,1),(190,1)}
       112:{2,3,6,7}:{(78,1),(82,1),(146,1),(150,1),(222,1)}
       113:{1,2,5,7}:{(78,1),(79,1),(125,1),(146,1),(147,1)}
       114:{1,3,5,6}:{(79,1),(84,1),(126,1),(147,1),(148,1),(186,1),(221,1),(227,1)}
       115:{1,5,6,7}:{(80,1),(81,1),(198,1)}
       116:{2,5,6,7}:{(80,1),(82,1),(225,1)}
       117:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(85,1),(146,1),(149,1),(150,1),(153,1),(192,1),(199,1),(201,1)}
       118:{3,5,7}:{(83,1),(84,1),(150,1),(151,1)}
       119:{3,4,6}:{(84,1),(87,1),(148,1),(151,1),(152,1)}
       120:{2,3,6,7}:{(85,1),(86,1),(150,1),(153,1),(155,1)}
       121:{2,4,7}:{(86,1),(87,1),(151,1)}
       122:{2,4,5}:{(87,1),(89,1),(152,1)}
       123:{2,3,5,7}:{(88,1),(89,1),(135,1),(154,1),(155,1),(190,1)}
       124:{1,2,3,5}:{(92,1),(95,1),(156,1),(157,1),(206,1)}
       125:{1,2,4,7}:{(90,1),(91,1),(113,1),(158,1),(176,1)}
       126:{1,3,6}:{(91,1),(92,1),(158,1)}
       127:{1,3,4}:{(92,1),(157,1)}
       128:{1,2,4,7}:{(93,1),(94,1),(101,1),(160,1),(168,1)}
       129:{2,3,6}:{(94,1),(95,1),(160,1)}
       130:{2,3,4}:{(95,1),(157,1)}
       131:{3,4,6}:{(97,1),(162,1),(163,1),(210,1)}
       132:{1,2,3,6,7}:{(96,1),(108,1),(120,1),(164,1),(166,1),(167,1),(175,1),(210,1),(229,1)}
       133:{1,2,4,7}:{(96,1),(97,1),(109,1),(121,1),(162,1),(168,1),(176,1)}
       134:{1,2,4,5}:{(97,1),(99,1),(110,1),(122,1),(163,1),(169,1),(177,1),(206,1)}
       135:{1,2,5,7}:{(98,1),(99,1),(111,1),(123,1),(166,1)}
       136:{1,2,6,7}:{(100,1),(101,1),(167,1),(229,1)}
       137:{2,3,5,7}:{(101,1),(102,1),(106,1),(160,1),(167,1),(168,1),(212,1)}
       138:{2,4,6}:{(102,1),(107,1),(168,1),(169,1)}
       139:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(170,1),(173,1),(211,1),(212,1)}
       140:{3,6,7}:{(105,1),(106,1),(210,1)}
       141:{3,4,7}:{(106,1),(107,1),(109,1),(168,1)}
       142:{3,4,5}:{(107,1),(110,1),(163,1),(169,1)}
       143:{1,4,6,7}:{(108,1),(109,1),(171,1),(173,1),(174,1)}
       144:{1,4,5,7}:{(109,1),(110,1),(111,1),(172,1),(173,1),(174,1)}
       145:{1,3,6}:{(111,1),(166,1),(174,1),(210,1)}
       146:{1,2,6,7}:{(112,1),(113,1),(175,1),(229,1)}
       147:{1,3,5,7}:{(113,1),(114,1),(118,1),(158,1),(175,1),(176,1),(216,1)}
       148:{1,4,6}:{(114,1),(119,1),(176,1),(177,1)}
       149:{1,2,5,6,7}:{(115,1),(116,1),(117,1),(178,1),(181,1),(211,1),(216,1)}
       150:{3,6,7}:{(117,1),(118,1),(210,1)}
       151:{3,4,7}:{(118,1),(119,1),(121,1),(176,1)}
       152:{3,4,5}:{(119,1),(122,1),(163,1),(177,1)}
       153:{2,4,6,7}:{(120,1),(121,1),(179,1),(181,1),(182,1)}
       154:{2,4,5,7}:{(121,1),(122,1),(123,1),(180,1),(181,1),(182,1)}
       155:{2,3,6}:{(123,1),(166,1),(182,1),(210,1)}
       156:{1,2,3,6}:{(124,1),(126,1),(129,1),(183,1),(184,1)}
       157:{1,2,4}:{(124,1),(127,1),(130,1)}
       158:{1,3,7}:{(125,1),(126,1)}
       159:{1,3,4,6}:{(126,1),(127,1),(131,1),(148,1),(184,1),(185,1),(186,1),(221,1)}
       160:{2,3,7}:{(128,1),(129,1)}
       161:{2,3,4,6}:{(129,1),(130,1),(131,1),(138,1),(184,1),(187,1),(188,1),(222,1)}
       162:{3,4,7}:{(131,1),(133,1),(190,1)}
       163:{3,5}:{(131,1),(134,1)}
       164:{1,2,4,6,7}:{(132,1),(133,1),(143,1),(153,1),(189,1),(191,1),(192,1),(193,1),(199,1)}
       165:{1,2,4,5,7}:{(133,1),(134,1),(135,1),(144,1),(154,1),(190,1),(191,1),(192,1),(194,1),(200,1),(220,1),(223,1)}
       166:{1,2,6}:{(135,1),(145,1),(155,1)}
       167:{2,3,6,7}:{(136,1),(137,1),(140,1),(193,1),(222,1)}
       168:{2,4,7}:{(137,1),(138,1),(141,1)}
       169:{2,4,5}:{(138,1),(142,1),(188,1)}
       170:{3,5,6,7}:{(139,1),(140,1),(195,1),(196,1),(224,1)}
       171:{3,4,6,7}:{(140,1),(141,1),(143,1),(193,1),(195,1),(196,1),(197,1)}
       172:{3,4,5,7}:{(141,1),(142,1),(144,1),(190,1),(194,1),(196,1),(197,1),(223,1)}
       173:{1,5,7}:{(143,1),(196,1),(198,1)}
       174:{1,4,6}:{(144,1),(145,1),(197,1),(198,1)}
       175:{1,3,6,7}:{(146,1),(147,1),(150,1),(199,1),(221,1)}
       176:{1,4,7}:{(147,1),(148,1),(151,1)}
       177:{1,4,5}:{(148,1),(152,1),(186,1)}
       178:{3,5,6,7}:{(149,1),(150,1),(201,1),(202,1),(224,1)}
       179:{3,4,6,7}:{(150,1),(151,1),(153,1),(199,1),(201,1),(202,1),(203,1)}
       180:{3,4,5,7}:{(151,1),(152,1),(154,1),(190,1),(200,1),(202,1),(203,1),(223,1)}
       181:{2,5,7}:{(153,1),(202,1),(204,1)}
       182:{2,4,6}:{(154,1),(155,1),(203,1),(204,1)}
       183:{1,2,3,7}:{(156,1),(158,1),(160,1),(205,1)}
       184:{1,2,4,6}:{(156,1),(157,1),(159,1),(161,1),(205,1),(206,1),(229,1)}
       185:{1,3,4,7}:{(158,1),(159,1),(162,1),(176,1),(205,1),(207,1)}
       186:{1,3,5}:{(159,1),(163,1),(177,1),(206,1)}
       187:{2,3,4,7}:{(160,1),(161,1),(162,1),(168,1),(205,1),(208,1)}
       188:{2,3,5}:{(161,1),(163,1),(169,1),(206,1)}
       189:{3,4,6,7}:{(162,1),(164,1),(209,1),(210,1),(230,1)}
       190:{3,5,7}:{(162,1),(163,1),(165,1),(210,1)}
       191:{1,2,5,7}:{(164,1),(173,1),(181,1),(209,1),(211,1),(212,1),(216,1)}
       192:{1,2,4,6}:{(165,1),(166,1),(174,1),(182,1),(210,1),(211,1),(213,1),(217,1),(229,1),(230,1)}
       193:{2,4,6,7}:{(167,1),(168,1),(171,1),(212,1),(213,1)}
       194:{2,4,5,7}:{(168,1),(169,1),(172,1),(208,1),(212,1),(213,1)}
       195:{4,6,7}:{(170,1),(214,1),(230,1)}
       196:{3,5,7}:{(171,1),(173,1),(212,1),(214,1),(215,1)}
       197:{3,4,6}:{(172,1),(174,1),(210,1),(213,1),(215,1),(230,1)}
       198:{1,5,6}:{(173,1),(174,1),(215,1)}
       199:{1,4,6,7}:{(175,1),(176,1),(179,1),(216,1),(217,1)}
       200:{1,4,5,7}:{(176,1),(177,1),(180,1),(207,1),(216,1),(217,1)}
       201:{4,6,7}:{(178,1),(218,1),(230,1)}
       202:{3,5,7}:{(179,1),(181,1),(216,1),(218,1),(219,1)}
       203:{3,4,6}:{(180,1),(182,1),(210,1),(217,1),(219,1),(230,1)}
       204:{2,5,6}:{(181,1),(182,1),(219,1)}
       205:{1,2,4,7}:{(183,1),(184,1),(185,1),(187,1),(220,1)}
       206:{1,2,5}:{(184,1),(186,1),(188,1)}
       207:{1,3,5,7}:{(185,1),(186,1),(190,1),(200,1),(220,1),(221,1)}
       208:{2,3,5,7}:{(187,1),(188,1),(190,1),(194,1),(220,1),(222,1)}
       209:{3,5,7}:{(189,1),(191,1),(223,1),(224,1)}
       210:{3,6}:{(190,1),(192,1)}
       211:{1,2,5,6}:{(191,1),(192,1),(198,1),(204,1),(224,1),(225,1),(227,1)}
       212:{2,5,7}:{(193,1),(196,1),(225,1)}
       213:{2,4,6}:{(194,1),(197,1),(222,1),(225,1)}
       214:{4,5,7}:{(195,1),(196,1),(226,1)}
       215:{3,5,6}:{(196,1),(197,1),(198,1),(225,1),(226,1)}
       216:{1,5,7}:{(199,1),(202,1),(227,1)}
       217:{1,4,6}:{(200,1),(203,1),(221,1),(227,1)}
       218:{4,5,7}:{(201,1),(202,1),(228,1)}
       219:{3,5,6}:{(202,1),(203,1),(204,1),(227,1),(228,1)}
       220:{1,2,5,7}:{(205,1),(206,1),(207,1),(208,1),(229,1)}
       221:{1,3,6}:{(207,1),(210,1),(217,1),(229,1)}
       222:{2,3,6}:{(208,1),(210,1),(213,1),(229,1)}
       223:{4,5,7}:{(209,1),(230,1)}
       224:{3,5,6}:{(209,1),(210,1),(211,1),(230,1)}
       225:{2,5,6}:{(212,1),(213,1),(215,1)}
       226:{4,5,6}:{(214,1),(215,1),(230,1)}
       227:{1,5,6}:{(216,1),(217,1),(219,1)}
       228:{4,5,6}:{(218,1),(219,1),(230,1)}
       229:{1,2,6}:{(220,1),(221,1),(222,1)}
       230:{4,6}:{(223,1),(224,1)}

1552 :   0:{1,3,4,6,7}:{(1,1),(2,1),(14,1),(23,1),(49,1),(51,1),(60,1),(89,1),(96,1),(116,1),(125,1)}
         1:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(29,1),(31,1),(41,1),(81,1),(114,1),(128,1)}
         2:{1,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(32,1),(38,1),(107,1),(126,1)}
         3:{1,3,5,6,7}:{(5,1),(10,1),(11,1),(38,1),(40,1),(62,1),(79,1)}
         4:{2,3,5,6,7}:{(10,1),(12,1),(25,1),(28,1),(39,1),(40,1),(80,1)}
         5:{1,3,5,6}:{(2,1),(13,1),(14,1),(46,1),(49,1)}
         6:{2,3,6,7}:{(1,1),(15,1),(49,1),(125,1),(134,1)}
         7:{1,2,5,7}:{(1,1),(2,1),(13,1),(15,1),(58,1),(133,1)}
         8:{1,4,5,7}:{(2,1),(14,1),(17,1),(96,1),(119,1)}
         9:{2,3,4,6,7}:{(18,1),(19,1),(24,1),(44,1),(61,1),(83,1),(90,1),(93,1),(97,1),(117,1),(125,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(13,1),(22,1),(43,1),(58,1),(59,1),(98,1)}
        11:{1,4,6,7}:{(3,1),(14,1),(20,1),(23,1),(82,1),(96,1)}
        12:{2,4,6,7}:{(4,1),(21,1),(24,1),(44,1),(48,1),(97,1)}
        13:{1,2,5,6}:{(5,1),(7,1),(28,1),(29,1),(66,1),(107,1)}
        14:{1,4,6}:{(5,1),(8,1),(30,1)}
        15:{2,3,5,7}:{(6,1),(7,1),(28,1),(31,1),(32,1),(137,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(29,1),(31,1),(32,1),(33,1),(68,1),(72,1),(74,1),(107,1),(114,1),(129,1)}
        17:{3,4,5,7}:{(8,1),(30,1),(32,1),(33,1),(38,1),(78,1),(103,1)}
        18:{1,2,4,6,7}:{(9,1),(34,1),(35,1),(42,1),(63,1),(75,1),(81,1),(109,1),(114,1)}
        19:{2,3,5,7}:{(9,1),(25,1),(35,1),(36,1),(39,1),(76,1),(108,1),(127,1)}
        20:{1,4,5,7}:{(11,1),(26,1),(38,1),(99,1)}
        21:{2,4,5,7}:{(12,1),(27,1),(39,1),(68,1)}
        22:{1,2,4,6,7}:{(10,1),(11,1),(12,1),(29,1),(37,1),(40,1),(41,1),(42,1),(63,1),(81,1),(114,1)}
        23:{3,4,6,7}:{(11,1),(30,1),(38,1),(40,1),(41,1),(78,1),(100,1)}
        24:{3,4,6,7}:{(12,1),(39,1),(40,1),(42,1),(64,1),(69,1),(78,1)}
        25:{2,3,5,6}:{(19,1),(43,1),(44,1),(47,1),(83,1)}
        26:{1,4,5,6}:{(14,1),(20,1),(46,1)}
        27:{2,4,5,6}:{(21,1),(44,1),(47,1)}
        28:{2,3,5,6}:{(13,1),(15,1),(48,1),(49,1),(88,1)}
        29:{1,2,4,6}:{(13,1),(14,1),(16,1),(48,1),(49,1),(50,1),(89,1),(91,1)}
        30:{3,4,6}:{(14,1),(17,1),(46,1),(49,1),(50,1)}
        31:{2,4,7}:{(15,1),(48,1),(51,1),(139,1)}
        32:{3,5,7}:{(16,1),(49,1),(51,1),(88,1),(125,1),(135,1)}
        33:{2,4,5,7}:{(17,1),(50,1),(53,1),(58,1),(97,1),(120,1)}
        34:{1,3,6,7}:{(18,1),(54,1),(83,1),(123,1),(125,1)}
        35:{1,2,5,7}:{(18,1),(19,1),(43,1),(54,1),(59,1),(122,1)}
        36:{2,4,5,7}:{(19,1),(44,1),(56,1),(97,1),(120,1)}
        37:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(45,1),(57,1),(58,1),(59,1),(96,1),(97,1),(98,1)}
        38:{3,5,7}:{(20,1),(23,1),(46,1),(58,1),(115,1)}
        39:{3,5,7}:{(21,1),(24,1),(47,1),(59,1),(88,1)}
        40:{3,6,7}:{(22,1),(49,1),(57,1),(83,1),(125,1)}
        41:{2,4,6,7}:{(23,1),(50,1),(58,1),(61,1),(97,1),(117,1)}
        42:{1,4,6,7}:{(24,1),(59,1),(60,1),(84,1),(89,1),(96,1)}
        43:{1,2,5,6}:{(25,1),(35,1),(62,1),(63,1),(67,1),(127,1)}
        44:{2,4,6}:{(25,1),(36,1),(64,1)}
        45:{1,2,4,5,6}:{(26,1),(27,1),(29,1),(37,1),(63,1),(65,1),(66,1),(67,1),(68,1),(99,1),(104,1),(105,1),(106,1),(107,1),(127,1),(129,1)}
        46:{3,5,6}:{(26,1),(30,1),(38,1),(66,1)}
        47:{3,5,6}:{(27,1),(39,1),(64,1),(67,1)}
        48:{2,4,6}:{(28,1),(31,1),(68,1),(69,1)}
        49:{3,6}:{(29,1),(32,1)}
        50:{2,4,6}:{(30,1),(33,1),(66,1),(71,1)}
        51:{3,4,7}:{(31,1),(32,1),(69,1),(72,1),(138,1)}
        52:{1,3,5,7}:{(32,1),(70,1),(72,1),(74,1),(107,1),(110,1),(131,1)}
        53:{2,3,5,7}:{(32,1),(33,1),(71,1),(73,1),(74,1),(108,1)}
        54:{1,3,5,7}:{(34,1),(35,1),(62,1),(75,1),(76,1),(131,1)}
        55:{1,2,4,5,7}:{(35,1),(36,1),(63,1),(75,1),(76,1),(77,1),(99,1),(112,1),(113,1),(114,1),(127,1),(129,1)}
        56:{3,4,5,7}:{(36,1),(39,1),(64,1),(76,1),(77,1),(78,1),(103,1)}
        57:{3,5,7}:{(37,1),(40,1),(65,1),(78,1)}
        58:{2,5,7}:{(38,1),(41,1),(66,1),(127,1)}
        59:{1,5,7}:{(39,1),(42,1),(67,1),(107,1)}
        60:{1,3,6,7}:{(40,1),(42,1),(70,1),(79,1),(81,1),(101,1)}
        61:{2,3,6,7}:{(40,1),(41,1),(71,1),(80,1),(81,1),(102,1)}
        62:{1,3,5,6}:{(43,1),(54,1),(82,1),(83,1),(115,1)}
        63:{1,2,4,6}:{(43,1),(44,1),(55,1),(82,1),(83,1),(84,1),(117,1),(118,1)}
        64:{3,4,6}:{(44,1),(47,1),(56,1),(83,1),(84,1)}
        65:{3,5,6}:{(45,1),(49,1),(57,1),(83,1),(85,1),(88,1),(115,1),(135,1)}
        66:{2,5,6}:{(46,1),(50,1),(58,1)}
        67:{1,5,6}:{(47,1),(59,1),(84,1)}
        68:{2,4,5}:{(48,1),(88,1)}
        69:{3,4,6}:{(48,1),(49,1),(51,1),(88,1),(89,1)}
        70:{1,3,6}:{(49,1),(52,1),(89,1),(91,1)}
        71:{2,3,6}:{(49,1),(50,1),(53,1),(91,1)}
        72:{1,4,7}:{(51,1),(52,1),(89,1),(136,1)}
        73:{2,3,4,7}:{(51,1),(53,1),(90,1),(92,1),(97,1),(125,1)}
        74:{1,2,5,7}:{(52,1),(53,1),(91,1),(92,1),(122,1)}
        75:{1,4,7}:{(54,1),(82,1),(93,1),(136,1)}
        76:{3,5,7}:{(55,1),(83,1),(93,1),(115,1),(125,1),(135,1)}
        77:{1,4,5,7}:{(56,1),(59,1),(84,1),(94,1),(96,1),(119,1)}
        78:{3,4,7}:{(57,1),(85,1),(96,1),(97,1),(125,1)}
        79:{1,3,5,7}:{(57,1),(59,1),(60,1),(86,1),(96,1),(98,1),(125,1)}
        80:{2,3,5,7}:{(57,1),(58,1),(61,1),(87,1),(97,1),(98,1),(125,1)}
        81:{1,2,6,7}:{(60,1),(61,1),(91,1),(98,1),(118,1)}
        82:{1,4,6}:{(62,1),(75,1),(99,1),(100,1)}
        83:{3,6}:{(63,1),(76,1)}
        84:{1,4,6}:{(64,1),(67,1),(77,1),(101,1)}
        85:{3,4,6}:{(65,1),(78,1),(103,1),(104,1),(105,1),(130,1),(138,1)}
        86:{1,3,5,6}:{(65,1),(67,1),(70,1),(79,1),(101,1),(104,1),(106,1),(107,1),(126,1),(130,1),(131,1)}
        87:{2,3,5,6}:{(65,1),(66,1),(71,1),(80,1),(102,1),(105,1),(106,1),(108,1),(127,1),(130,1),(137,1)}
        88:{3,5}:{(68,1),(69,1),(107,1)}
        89:{1,4,6}:{(69,1),(70,1),(72,1),(107,1)}
        90:{2,3,4,6}:{(69,1),(71,1),(73,1),(105,1),(108,1),(109,1),(130,1),(138,1)}
        91:{1,2,6}:{(70,1),(71,1),(74,1)}
        92:{1,2,4,7}:{(72,1),(73,1),(74,1),(109,1),(110,1)}
        93:{3,4,7}:{(75,1),(76,1),(100,1),(112,1),(138,1)}
        94:{1,3,5,7}:{(76,1),(77,1),(101,1),(111,1),(113,1),(126,1)}
        95:{2,3,5,7}:{(76,1),(102,1),(112,1),(113,1),(127,1),(132,1),(137,1)}
        96:{1,4,7}:{(78,1),(79,1),(104,1)}
        97:{2,4,7}:{(78,1),(80,1),(105,1)}
        98:{1,2,5,7}:{(79,1),(80,1),(81,1),(106,1),(114,1)}
        99:{1,4,5}:{(82,1),(115,1)}
       100:{3,4,6}:{(82,1),(83,1),(93,1),(115,1),(117,1)}
       101:{1,3,6}:{(83,1),(84,1),(94,1),(118,1)}
       102:{2,3,6}:{(83,1),(95,1),(117,1),(118,1)}
       103:{3,4,5}:{(85,1),(88,1),(115,1),(119,1),(120,1),(135,1)}
       104:{1,4,6}:{(85,1),(86,1),(96,1),(119,1),(136,1)}
       105:{2,4,6}:{(85,1),(87,1),(97,1),(120,1),(139,1)}
       106:{1,2,5,6}:{(86,1),(87,1),(91,1),(98,1),(118,1),(121,1),(122,1),(133,1)}
       107:{1,5}:{(88,1),(89,1)}
       108:{2,3,5}:{(88,1),(90,1),(120,1),(122,1),(135,1)}
       109:{1,2,4,6}:{(89,1),(90,1),(91,1),(92,1),(122,1),(123,1),(136,1)}
       110:{1,3,7}:{(92,1),(123,1),(125,1)}
       111:{1,3,4,7}:{(93,1),(94,1),(96,1),(116,1),(124,1),(125,1)}
       112:{2,4,7}:{(93,1),(95,1),(117,1),(139,1)}
       113:{1,2,5,7}:{(94,1),(95,1),(118,1),(124,1),(133,1)}
       114:{1,2,4,7}:{(96,1),(97,1),(98,1),(121,1),(125,1)}
       115:{3,5}:{(99,1),(100,1),(127,1)}
       116:{1,3,4,6}:{(100,1),(101,1),(104,1),(111,1),(126,1),(128,1),(130,1),(138,1)}
       117:{2,4,6}:{(100,1),(102,1),(112,1),(127,1)}
       118:{1,2,6}:{(101,1),(102,1),(113,1)}
       119:{1,4,5}:{(103,1),(104,1),(107,1),(126,1)}
       120:{2,4,5}:{(103,1),(105,1),(108,1),(127,1)}
       121:{1,2,4,6}:{(104,1),(105,1),(106,1),(114,1),(129,1),(130,1)}
       122:{1,2,5}:{(107,1),(108,1),(109,1),(131,1)}
       123:{1,3,6}:{(109,1),(110,1),(130,1),(131,1)}
       124:{1,2,4,7}:{(111,1),(112,1),(113,1),(128,1),(132,1)}
       125:{3,7}:{(114,1),(130,1)}
       126:{1,3,5}:{(115,1),(116,1),(119,1),(133,1),(135,1)}
       127:{2,5}:{(115,1),(117,1)}
       128:{1,2,4,6}:{(116,1),(117,1),(118,1),(124,1),(133,1),(134,1),(139,1)}
       129:{1,2,4,5}:{(119,1),(120,1),(121,1),(122,1),(133,1),(135,1),(136,1),(139,1)}
       130:{3,6}:{(121,1),(125,1),(135,1)}
       131:{1,3,5}:{(122,1),(123,1),(135,1),(136,1)}
       132:{2,3,7}:{(124,1),(125,1),(134,1)}
       133:{1,2,5}:{(126,1),(127,1),(128,1),(137,1)}
       134:{2,3,6}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,5}:{(129,1),(130,1),(138,1)}
       136:{1,4}:{(131,1),(138,1)}
       137:{2,3,5}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,4}:{(135,1),(136,1),(139,1)}
       139:{2,4}:{(137,1),(138,1)}

1553 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(23,1),(56,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(36,1),(73,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(26,1),(51,1),(90,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(21,1),(26,1),(50,1),(93,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(22,1),(26,1),(49,1),(92,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(11,1),(12,1),(36,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(11,1),(68,1),(112,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(12,1),(67,1),(111,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(15,1),(34,1),(35,1),(114,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(44,1),(90,1),(156,1)}
        10:{1,3,4,5,7}:{(19,1),(20,1),(21,1),(51,1),(79,1),(82,1),(89,1),(124,1),(132,1)}
        11:{1,4,5,7}:{(5,1),(6,1),(17,1),(21,1)}
        12:{2,4,5,7}:{(5,1),(7,1),(18,1),(22,1)}
        13:{1,3,4,6,7}:{(6,1),(19,1),(21,1),(24,1),(26,1),(51,1)}
        14:{2,3,4,6,7}:{(7,1),(22,1),(25,1),(26,1),(41,1),(51,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(23,1),(26,1),(133,1)}
        16:{1,2,3,5,6,7}:{(8,1),(26,1),(27,1),(49,1),(50,1),(52,1),(55,1),(76,1),(91,1),(92,1),(93,1),(136,1),(160,1),(163,1),(172,1)}
        17:{1,4,5,6}:{(9,1),(11,1),(28,1),(112,1),(144,1)}
        18:{2,4,5,6}:{(9,1),(12,1),(29,1),(111,1),(164,1)}
        19:{1,3,4,6}:{(10,1),(28,1),(31,1),(60,1),(112,1),(151,1)}
        20:{1,2,4,5,7}:{(10,1),(31,1),(32,1),(34,1),(63,1),(67,1),(98,1),(102,1)}
        21:{1,3,5,7}:{(11,1),(13,1),(28,1),(34,1),(36,1)}
        22:{2,3,5,7}:{(12,1),(14,1),(29,1),(35,1),(36,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(15,1),(30,1),(34,1),(35,1),(36,1),(67,1),(68,1)}
        24:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(37,1),(67,1)}
        25:{1,2,4,6,7}:{(14,1),(35,1),(38,1),(57,1),(68,1)}
        26:{3,6,7}:{(15,1),(36,1),(151,1)}
        27:{1,2,4,6,7}:{(16,1),(39,1),(40,1),(67,1),(68,1),(97,1),(111,1),(112,1),(169,1),(174,1)}
        28:{1,3,5,6}:{(17,1),(19,1),(21,1),(42,1),(44,1),(124,1)}
        29:{2,3,5,6}:{(18,1),(22,1),(41,1),(43,1),(44,1),(153,1)}
        30:{1,2,4,5,6}:{(17,1),(18,1),(23,1),(42,1),(43,1),(44,1),(77,1),(78,1),(120,1),(133,1)}
        31:{1,2,4,6}:{(19,1),(20,1),(42,1),(45,1),(77,1)}
        32:{2,3,5,7}:{(20,1),(45,1),(47,1),(81,1),(132,1)}
        33:{2,3,4,5,7}:{(22,1),(41,1),(48,1),(51,1),(79,1),(88,1),(129,1),(132,1),(153,1)}
        34:{1,2,5,7}:{(21,1),(24,1),(42,1),(49,1)}
        35:{1,2,5,7}:{(22,1),(25,1),(43,1),(50,1)}
        36:{3,5,7}:{(23,1),(26,1),(44,1),(51,1)}
        37:{2,3,6,7}:{(24,1),(26,1),(45,1),(49,1)}
        38:{1,3,6,7}:{(25,1),(26,1),(50,1),(75,1)}
        39:{3,4,6,7}:{(26,1),(27,1),(51,1),(55,1),(90,1),(119,1),(163,1),(173,1)}
        40:{1,2,4,5,7}:{(27,1),(55,1),(56,1),(88,1),(89,1),(91,1),(120,1)}
        41:{2,3,4,6}:{(29,1),(33,1),(57,1),(60,1),(111,1),(151,1)}
        42:{1,2,5,6}:{(28,1),(31,1),(34,1),(58,1),(102,1)}
        43:{1,2,5,6}:{(29,1),(35,1),(57,1),(59,1),(138,1)}
        44:{3,5,6}:{(30,1),(36,1),(60,1),(140,1),(151,1)}
        45:{2,3,6}:{(31,1),(32,1),(151,1)}
        46:{1,2,3,5,7}:{(32,1),(61,1),(63,1),(102,1),(104,1)}
        47:{2,3,4,7}:{(32,1),(62,1),(63,1),(67,1),(109,1)}
        48:{1,2,4,5,7}:{(33,1),(35,1),(57,1),(65,1),(68,1),(99,1),(107,1),(138,1)}
        49:{2,3,5,7}:{(34,1),(36,1),(37,1),(58,1),(67,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(38,1),(59,1),(68,1)}
        51:{3,4,7}:{(36,1),(60,1),(67,1),(68,1)}
        52:{1,2,3,6,7}:{(37,1),(38,1),(61,1),(66,1),(70,1),(95,1),(147,1),(151,1),(170,1)}
        53:{2,3,4,6,7}:{(37,1),(39,1),(62,1),(67,1),(70,1),(71,1),(109,1),(111,1),(137,1),(151,1),(170,1),(174,1)}
        54:{1,3,4,6,7}:{(38,1),(39,1),(68,1),(70,1),(72,1),(96,1),(101,1),(109,1),(112,1),(147,1),(151,1),(169,1)}
        55:{3,5,7}:{(39,1),(40,1),(73,1),(140,1)}
        56:{1,2,4,5,6}:{(40,1),(73,1),(111,1),(112,1),(114,1)}
        57:{1,2,4,6}:{(41,1),(43,1),(48,1),(75,1),(78,1)}
        58:{2,3,5,6}:{(42,1),(44,1),(45,1),(49,1),(77,1),(81,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(50,1),(75,1),(78,1),(118,1)}
        60:{3,4,6}:{(44,1),(51,1),(77,1),(78,1),(79,1)}
        61:{1,2,3,6}:{(45,1),(46,1),(80,1),(127,1)}
        62:{2,3,4,6}:{(45,1),(47,1),(77,1),(80,1),(81,1),(119,1)}
        63:{1,2,4,7}:{(46,1),(47,1),(80,1),(82,1)}
        64:{2,3,4,5,7}:{(47,1),(81,1),(83,1),(84,1),(88,1),(126,1),(132,1),(156,1),(173,1)}
        65:{1,3,5,7}:{(48,1),(75,1),(86,1),(118,1),(132,1)}
        66:{1,2,3,5,7}:{(49,1),(50,1),(52,1),(76,1),(87,1),(91,1),(132,1),(160,1),(172,1)}
        67:{2,4,7}:{(49,1),(51,1),(77,1)}
        68:{1,4,7}:{(50,1),(51,1),(78,1)}
        69:{3,4,5,7}:{(51,1),(55,1),(79,1),(88,1),(89,1),(90,1),(132,1),(156,1),(173,1)}
        70:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(80,1),(87,1),(91,1),(117,1),(133,1)}
        71:{2,3,5,7}:{(53,1),(55,1),(81,1),(88,1),(91,1),(92,1),(132,1),(153,1)}
        72:{1,3,5,7}:{(54,1),(55,1),(89,1),(91,1),(93,1),(118,1),(124,1),(132,1)}
        73:{3,5,6}:{(55,1),(56,1),(90,1)}
        74:{1,2,4,5,6,7}:{(56,1),(94,1),(134,1),(135,1),(136,1),(158,1)}
        75:{1,3,6}:{(57,1),(65,1),(151,1)}
        76:{1,2,3,5,6}:{(58,1),(59,1),(61,1),(66,1),(95,1),(97,1),(102,1),(114,1),(138,1),(140,1),(145,1),(151,1),(165,1)}
        77:{2,4,6}:{(58,1),(60,1),(67,1),(98,1)}
        78:{1,4,6}:{(59,1),(60,1),(68,1),(99,1)}
        79:{3,4,5}:{(60,1),(98,1),(99,1),(140,1)}
        80:{1,2,4,6}:{(61,1),(62,1),(63,1),(101,1),(102,1)}
        81:{2,3,5}:{(62,1),(98,1),(102,1),(140,1)}
        82:{1,3,4,7}:{(63,1),(101,1),(104,1),(109,1),(169,1)}
        83:{1,2,4,5,7}:{(63,1),(64,1),(102,1),(104,1),(105,1),(144,1),(146,1),(169,1)}
        84:{2,3,4,6}:{(64,1),(103,1),(105,1),(111,1),(151,1),(167,1)}
        85:{1,2,3,5,7}:{(65,1),(95,1),(107,1),(138,1),(148,1)}
        86:{1,3,4,7}:{(65,1),(68,1),(96,1),(107,1),(109,1)}
        87:{1,2,4,7}:{(66,1),(67,1),(68,1),(97,1),(109,1),(169,1),(174,1)}
        88:{2,4,5,7}:{(67,1),(69,1),(71,1),(98,1),(111,1),(164,1),(174,1)}
        89:{1,4,5,7}:{(68,1),(69,1),(72,1),(99,1),(112,1),(144,1),(169,1)}
        90:{3,4,6}:{(69,1),(73,1),(111,1),(112,1),(151,1)}
        91:{1,2,5,7}:{(70,1),(71,1),(72,1),(102,1),(114,1),(138,1)}
        92:{2,3,5,6}:{(71,1),(73,1),(111,1),(114,1),(151,1)}
        93:{1,3,5,6}:{(72,1),(73,1),(112,1),(114,1),(151,1)}
        94:{3,5,6,7}:{(73,1),(74,1),(113,1),(168,1)}
        95:{1,2,3,6}:{(75,1),(85,1),(117,1),(161,1)}
        96:{1,3,4,6}:{(75,1),(78,1),(86,1),(117,1),(118,1),(119,1)}
        97:{1,2,4,6}:{(76,1),(77,1),(78,1),(87,1),(119,1),(120,1),(159,1),(171,1)}
        98:{2,4,5}:{(77,1),(79,1),(81,1)}
        99:{1,4,5}:{(78,1),(79,1),(118,1)}
       100:{3,4,5,6}:{(79,1),(90,1),(121,1),(122,1),(123,1),(157,1)}
       101:{1,3,4,6}:{(80,1),(82,1),(119,1),(124,1),(127,1),(159,1)}
       102:{1,2,5}:{(80,1),(81,1),(124,1)}
       103:{2,3,5,6}:{(81,1),(84,1),(121,1),(125,1),(126,1),(157,1)}
       104:{1,3,5,7}:{(82,1),(83,1),(124,1),(127,1),(132,1)}
       105:{1,2,4,6}:{(83,1),(84,1),(125,1),(127,1),(159,1)}
       106:{2,3,4,6,7}:{(84,1),(126,1),(128,1),(134,1),(163,1),(173,1)}
       107:{1,2,4,7}:{(85,1),(86,1),(117,1),(129,1)}
       108:{1,3,4,5,7}:{(86,1),(89,1),(118,1),(130,1),(131,1),(132,1),(155,1),(156,1),(173,1)}
       109:{3,4,7}:{(87,1),(119,1),(132,1)}
       110:{1,2,4,5,7}:{(87,1),(88,1),(89,1),(91,1),(120,1),(132,1),(133,1)}
       111:{2,4,6}:{(88,1),(90,1),(92,1)}
       112:{1,4,6}:{(89,1),(90,1),(93,1)}
       113:{3,4,6,7}:{(90,1),(94,1),(123,1),(134,1),(135,1),(163,1),(173,1)}
       114:{1,2,5,6}:{(91,1),(92,1),(93,1),(133,1)}
       115:{2,3,5,6,7}:{(92,1),(94,1),(126,1),(134,1),(136,1),(163,1),(172,1)}
       116:{1,3,5,6,7}:{(93,1),(94,1),(135,1),(136,1),(155,1),(160,1),(163,1)}
       117:{1,2,4,6}:{(95,1),(96,1),(107,1),(137,1),(138,1)}
       118:{1,3,5}:{(96,1),(99,1),(138,1),(140,1)}
       119:{3,4,6}:{(97,1),(109,1),(140,1),(151,1)}
       120:{1,2,4,5}:{(97,1),(98,1),(99,1),(102,1),(138,1),(140,1),(144,1),(164,1)}
       121:{2,4,5,6}:{(98,1),(100,1),(103,1),(111,1),(142,1)}
       122:{1,4,5,6}:{(99,1),(100,1),(112,1),(139,1),(143,1)}
       123:{3,4,5,7}:{(100,1),(113,1),(142,1),(143,1),(168,1)}
       124:{1,3,5}:{(101,1),(102,1),(140,1),(144,1)}
       125:{1,2,5,6}:{(102,1),(103,1),(105,1),(145,1),(146,1)}
       126:{2,3,5,7}:{(103,1),(106,1),(142,1),(146,1),(168,1)}
       127:{1,3,6}:{(104,1),(105,1),(151,1)}
       128:{1,2,4,6,7}:{(105,1),(106,1),(146,1),(147,1),(169,1)}
       129:{2,3,4,7}:{(107,1),(109,1),(137,1),(148,1),(174,1)}
       130:{1,2,4,5,7}:{(107,1),(108,1),(138,1),(148,1),(149,1),(164,1),(166,1),(174,1)}
       131:{1,3,4,6}:{(108,1),(112,1),(139,1),(149,1),(151,1),(167,1)}
       132:{3,5,7}:{(109,1),(110,1),(140,1),(151,1)}
       133:{1,2,4,6}:{(110,1),(111,1),(112,1),(114,1),(151,1)}
       134:{2,4,6,7}:{(111,1),(113,1),(115,1),(142,1),(174,1)}
       135:{1,4,6,7}:{(112,1),(113,1),(116,1),(143,1),(169,1)}
       136:{1,2,5,6,7}:{(114,1),(115,1),(116,1),(146,1),(152,1),(166,1)}
       137:{2,3,4,6}:{(117,1),(119,1),(129,1),(153,1),(161,1),(171,1)}
       138:{1,2,5}:{(117,1),(118,1),(153,1)}
       139:{1,3,5,6}:{(118,1),(122,1),(131,1),(154,1),(155,1),(157,1)}
       140:{3,5}:{(119,1),(120,1)}
       141:{1,2,4,5,6}:{(120,1),(121,1),(122,1),(125,1),(133,1),(154,1),(157,1),(158,1),(159,1),(171,1)}
       142:{2,4,5,7}:{(121,1),(123,1),(126,1),(134,1)}
       143:{1,4,5,7}:{(122,1),(123,1),(135,1),(155,1)}
       144:{1,4,5}:{(124,1),(156,1),(159,1)}
       145:{1,3,5,6}:{(124,1),(125,1),(127,1),(157,1),(159,1),(160,1)}
       146:{1,2,5,7}:{(125,1),(126,1),(128,1),(160,1)}
       147:{1,3,6,7}:{(127,1),(128,1),(160,1),(163,1)}
       148:{2,3,5,7}:{(129,1),(130,1),(132,1),(153,1),(161,1)}
       149:{1,2,4,6}:{(130,1),(131,1),(154,1),(161,1),(171,1)}
       150:{1,3,4,6,7}:{(131,1),(135,1),(155,1),(162,1),(163,1),(173,1)}
       151:{3,6}:{(132,1),(133,1)}
       152:{1,2,4,6,7}:{(133,1),(134,1),(135,1),(136,1),(158,1),(163,1)}
       153:{2,3,5}:{(137,1),(138,1),(140,1),(164,1)}
       154:{1,2,5,6}:{(138,1),(139,1),(149,1),(165,1),(166,1)}
       155:{1,3,5,7}:{(139,1),(143,1),(150,1),(166,1),(168,1)}
       156:{3,4,5}:{(140,1),(144,1),(164,1),(167,1)}
       157:{3,5,6}:{(140,1),(141,1),(151,1),(167,1),(168,1)}
       158:{1,2,4,5,7}:{(141,1),(142,1),(143,1),(146,1),(152,1),(166,1),(168,1),(169,1),(174,1)}
       159:{1,4,6}:{(144,1),(145,1),(167,1),(169,1)}
       160:{1,3,5,7}:{(145,1),(146,1),(147,1),(168,1),(169,1)}
       161:{2,3,6}:{(148,1),(149,1),(151,1)}
       162:{1,2,4,6,7}:{(149,1),(150,1),(166,1),(170,1),(174,1)}
       163:{3,6,7}:{(151,1),(152,1),(168,1)}
       164:{2,4,5}:{(153,1),(156,1),(171,1)}
       165:{2,3,5,6}:{(153,1),(154,1),(157,1),(161,1),(171,1),(172,1)}
       166:{1,2,5,7}:{(154,1),(155,1),(162,1),(172,1)}
       167:{3,4,6}:{(156,1),(157,1),(159,1),(171,1),(173,1)}
       168:{3,5,7}:{(157,1),(158,1),(163,1),(173,1)}
       169:{1,4,7}:{(159,1),(160,1),(173,1)}
       170:{2,3,6,7}:{(161,1),(162,1),(163,1),(172,1)}
       171:{2,4,6}:{(164,1),(165,1),(167,1),(174,1)}
       172:{2,3,5,7}:{(165,1),(166,1),(168,1),(170,1),(174,1)}
       173:{3,4,7}:{(167,1),(168,1),(169,1),(174,1)}
       174:{2,4,7}:{(171,1),(172,1),(173,1)}

1554 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(65,1),(72,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(53,1),(60,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(58,1),(61,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(48,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(45,1),(49,1)}
         5:{1,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(30,1),(54,1),(58,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(36,1),(76,1)}
         8:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(36,1),(53,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(37,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{1,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(42,1),(45,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(24,1),(87,1)}
        15:{2,4,5,6,7}:{(7,1),(8,1),(64,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(45,1)}
        17:{1,3,6,7}:{(9,1),(10,1)}
        18:{1,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{1,3,4,5}:{(11,1),(23,1)}
        20:{2,3,4,6}:{(13,1),(29,1),(30,1),(54,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(33,1),(54,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(29,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(30,1)}
        24:{1,3,5,6,7}:{(14,1),(31,1),(35,1),(36,1),(80,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(35,1),(36,1),(37,1),(57,1),(59,1)}
        26:{1,3,5,6,7}:{(16,1),(17,1),(36,1),(37,1),(38,1)}
        27:{1,3,4,6,7}:{(17,1),(18,1),(33,1),(37,1),(38,1),(39,1),(56,1)}
        28:{1,3,4,5,7}:{(18,1),(19,1),(34,1),(38,1),(39,1),(76,1)}
        29:{2,3,4,7}:{(20,1),(22,1),(42,1)}
        30:{2,3,5}:{(20,1),(23,1)}
        31:{1,3,4,6,7}:{(24,1),(40,1),(43,1),(48,1)}
        32:{1,2,3,5,6,7}:{(21,1),(26,1),(44,1),(45,1),(47,1),(65,1),(66,1),(69,1),(89,1),(91,1)}
        33:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(41,1),(45,1),(46,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(42,1),(45,1),(46,1),(64,1)}
        35:{1,2,5,6,7}:{(24,1),(43,1),(47,1),(89,1)}
        36:{3,5,6,7}:{(25,1),(48,1),(69,1)}
        37:{1,4,6,7}:{(26,1),(48,1),(49,1)}
        38:{1,3,5,7}:{(27,1),(45,1),(49,1),(50,1),(69,1)}
        39:{1,3,4,6}:{(28,1),(46,1),(50,1),(88,1)}
        40:{1,3,4,5,7}:{(31,1),(51,1),(52,1),(60,1),(80,1),(94,1)}
        41:{2,3,4,6,7}:{(29,1),(33,1),(53,1),(54,1),(56,1),(77,1)}
        42:{2,3,5,7}:{(29,1),(30,1),(34,1),(54,1)}
        43:{1,2,4,6,7}:{(31,1),(35,1),(52,1),(55,1),(59,1)}
        44:{1,2,4,6,7}:{(32,1),(37,1),(56,1),(57,1),(59,1),(77,1),(97,1)}
        45:{1,2,5,7}:{(33,1),(38,1),(53,1),(58,1)}
        46:{1,2,4,6}:{(34,1),(39,1),(54,1),(58,1),(77,1)}
        47:{2,3,5,6,7}:{(35,1),(36,1),(55,1),(59,1),(79,1)}
        48:{3,4,6,7}:{(36,1),(37,1),(59,1),(60,1)}
        49:{1,4,5,7}:{(37,1),(38,1),(60,1),(61,1)}
        50:{1,3,5,6}:{(38,1),(39,1),(58,1),(61,1),(81,1)}
        51:{1,3,4,5,6}:{(40,1),(62,1),(72,1),(91,1),(99,1)}
        52:{1,2,4,5,7}:{(40,1),(43,1),(62,1),(63,1),(71,1),(85,1),(89,1)}
        53:{2,3,5,7}:{(41,1),(45,1),(64,1),(65,1),(69,1)}
        54:{2,3,6}:{(42,1),(46,1)}
        55:{2,3,6,7}:{(43,1),(63,1)}
        56:{3,4,6,7}:{(44,1),(69,1),(88,1)}
        57:{1,2,4,5,7}:{(44,1),(45,1),(49,1),(64,1),(69,1),(70,1),(71,1),(87,1),(89,1)}
        58:{1,2,5,6}:{(45,1),(46,1),(50,1),(65,1)}
        59:{2,4,6,7}:{(47,1),(48,1),(71,1)}
        60:{3,4,5,7}:{(48,1),(49,1),(69,1),(71,1),(72,1)}
        61:{1,4,5,6}:{(49,1),(50,1),(72,1)}
        62:{1,2,4,5,6}:{(51,1),(52,1),(73,1),(82,1),(92,1),(98,1)}
        63:{2,3,5,7}:{(52,1),(55,1),(73,1),(75,1)}
        64:{2,4,5,7}:{(53,1),(76,1),(77,1)}
        65:{2,3,5,6}:{(53,1),(54,1),(58,1),(77,1),(81,1)}
        66:{1,2,3,6,7}:{(55,1),(74,1),(78,1),(104,1)}
        67:{2,3,4,6,7}:{(55,1),(56,1),(59,1),(75,1),(78,1),(79,1),(96,1)}
        68:{1,3,4,6,7}:{(56,1),(78,1),(80,1),(94,1),(97,1),(104,1)}
        69:{3,5,7}:{(56,1),(57,1),(81,1)}
        70:{1,2,4,5,6}:{(57,1),(58,1),(61,1),(77,1),(81,1),(82,1),(97,1),(98,1)}
        71:{2,4,5,7}:{(59,1),(60,1),(79,1),(82,1)}
        72:{3,4,5,6}:{(60,1),(61,1),(81,1),(82,1)}
        73:{2,3,5,6}:{(62,1),(63,1),(84,1)}
        74:{1,2,3,5,7}:{(63,1),(66,1),(83,1),(85,1),(89,1),(101,1)}
        75:{2,3,4,7}:{(63,1),(84,1),(85,1)}
        76:{3,4,5,7}:{(64,1),(69,1),(87,1),(88,1)}
        77:{2,4,6}:{(64,1),(65,1),(88,1)}
        78:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(85,1),(89,1),(102,1)}
        79:{2,3,5,7}:{(67,1),(69,1),(71,1),(89,1),(90,1)}
        80:{1,3,5,7}:{(68,1),(69,1),(87,1),(89,1),(91,1)}
        81:{3,5,6}:{(69,1),(70,1),(88,1)}
        82:{2,4,5,6}:{(71,1),(72,1),(90,1)}
        83:{1,2,3,5,6}:{(73,1),(74,1),(92,1),(98,1),(103,1),(104,1)}
        84:{2,3,4,6}:{(73,1),(75,1),(92,1),(93,1)}
        85:{1,2,4,7}:{(74,1),(75,1),(92,1),(94,1)}
        86:{2,3,4,5,7}:{(75,1),(76,1),(79,1),(93,1),(95,1),(96,1)}
        87:{1,4,5,7}:{(76,1),(80,1),(97,1)}
        88:{3,4,6}:{(76,1),(77,1),(81,1),(97,1)}
        89:{1,2,5,7}:{(78,1),(79,1),(80,1),(98,1)}
        90:{2,3,5,6}:{(79,1),(81,1),(82,1),(96,1),(98,1)}
        91:{1,3,5,6}:{(80,1),(81,1),(97,1),(98,1),(104,1)}
        92:{1,2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        93:{2,3,4,5}:{(84,1),(100,1)}
        94:{1,3,4,7}:{(85,1),(99,1),(101,1)}
        95:{1,2,4,5,7}:{(85,1),(86,1),(87,1),(89,1),(100,1),(101,1),(102,1)}
        96:{2,3,4,6}:{(86,1),(88,1),(90,1),(102,1)}
        97:{1,4,6}:{(87,1),(88,1),(91,1)}
        98:{1,2,5,6}:{(89,1),(90,1),(91,1),(102,1)}
        99:{1,3,4,6}:{(92,1),(94,1),(103,1),(104,1)}
       100:{1,2,4,5}:{(92,1),(93,1),(103,1)}
       101:{1,3,5,7}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       103:{1,3,5}:{(99,1),(100,1)}
       104:{1,3,6}:{(101,1),(102,1)}

1555 :   0:{1,4,5,6,7}:{(1,1),(12,1),(163,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(182,1)}
         2:{1,3,4,5,7}:{(7,1),(8,1),(10,1),(57,1),(72,1),(103,1),(111,1),(114,1),(119,1),(122,1)}
         3:{1,3,4,6,7}:{(7,1),(10,1),(11,1),(12,1),(38,1),(72,1),(75,1)}
         4:{3,4,6,7}:{(1,1),(9,1),(12,1),(13,1),(38,1),(165,1)}
         5:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(14,1),(38,1),(115,1)}
         6:{2,5,6,7}:{(1,1),(13,1),(197,1)}
         7:{1,3,4,6}:{(2,1),(16,1),(17,1),(86,1),(141,1),(146,1),(148,1)}
         8:{1,2,4,5,7}:{(2,1),(17,1),(18,1),(21,1),(41,1),(52,1),(83,1),(87,1)}
         9:{3,4,5,7}:{(4,1),(15,1),(19,1),(20,1),(51,1)}
        10:{1,3,5,7}:{(3,1),(16,1),(19,1),(21,1),(51,1),(99,1)}
        11:{1,2,4,6,7}:{(3,1),(17,1),(21,1),(22,1),(52,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(19,1),(141,1)}
        13:{2,4,6,7}:{(4,1),(6,1),(20,1),(23,1),(184,1)}
        14:{1,2,5,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(94,1),(99,1)}
        15:{3,4,5,6}:{(9,1),(27,1),(28,1),(63,1),(153,1),(165,1)}
        16:{1,3,5,6}:{(7,1),(10,1),(27,1),(29,1),(63,1),(103,1),(125,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(29,1),(30,1),(64,1)}
        18:{2,3,5,7}:{(8,1),(30,1),(31,1),(65,1),(119,1)}
        19:{1,4,5,7}:{(9,1),(10,1),(12,1),(27,1)}
        20:{2,4,5,7}:{(9,1),(13,1),(28,1),(33,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(29,1),(35,1)}
        22:{2,3,6,7}:{(11,1),(30,1),(35,1),(38,1)}
        23:{2,3,6,7}:{(13,1),(33,1),(37,1),(38,1),(168,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(34,1),(37,1),(38,1),(39,1),(75,1),(120,1)}
        25:{2,3,5,6,7}:{(14,1),(35,1),(38,1),(39,1),(74,1),(76,1)}
        26:{1,2,3,5,7}:{(18,1),(40,1),(41,1),(80,1),(83,1)}
        27:{1,4,5,6}:{(15,1),(16,1),(19,1),(128,1),(141,1)}
        28:{2,4,5,6}:{(15,1),(20,1),(42,1),(173,1),(184,1)}
        29:{1,2,5,6}:{(16,1),(17,1),(21,1),(44,1),(83,1)}
        30:{2,3,6}:{(17,1),(18,1),(146,1)}
        31:{2,3,4,7}:{(18,1),(41,1),(45,1),(52,1),(92,1)}
        32:{1,2,3,6,7}:{(22,1),(40,1),(48,1),(49,1),(54,1),(130,1),(146,1),(186,1),(187,1)}
        33:{2,3,5,7}:{(20,1),(23,1),(42,1),(47,1),(50,1),(51,1)}
        34:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(24,1),(43,1),(50,1),(51,1),(52,1),(56,1),(95,1),(99,1)}
        35:{2,3,5,7}:{(21,1),(22,1),(44,1),(51,1),(52,1)}
        36:{2,3,4,6,7}:{(22,1),(45,1),(49,1),(52,1),(53,1),(55,1),(92,1),(97,1),(146,1)}
        37:{1,2,6,7}:{(23,1),(50,1),(54,1),(186,1)}
        38:{3,6,7}:{(24,1),(51,1),(146,1)}
        39:{2,4,6,7}:{(25,1),(52,1),(55,1),(56,1),(97,1)}
        40:{1,2,3,6}:{(26,1),(30,1),(60,1),(104,1)}
        41:{1,2,4,7}:{(26,1),(31,1),(57,1),(60,1)}
        42:{2,3,5,6}:{(28,1),(33,1),(58,1),(62,1),(63,1),(157,1),(168,1)}
        43:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(34,1),(62,1),(63,1),(64,1),(77,1),(107,1),(110,1),(120,1),(125,1)}
        44:{2,3,5,6}:{(29,1),(30,1),(35,1),(63,1),(64,1),(65,1)}
        45:{2,3,4,6}:{(30,1),(31,1),(60,1),(64,1),(65,1),(106,1)}
        46:{2,3,4,5,7}:{(31,1),(61,1),(65,1),(66,1),(73,1),(113,1),(119,1),(153,1),(164,1),(193,1)}
        47:{2,3,4,7}:{(33,1),(58,1),(68,1),(72,1)}
        48:{1,2,3,5,7}:{(32,1),(35,1),(59,1),(69,1),(70,1),(71,1),(116,1),(119,1),(155,1),(167,1),(195,1)}
        49:{1,2,4,6,7}:{(32,1),(36,1),(60,1),(67,1),(69,1),(70,1),(75,1),(120,1),(199,1)}
        50:{1,2,5,7}:{(33,1),(37,1),(62,1),(68,1),(71,1)}
        51:{3,5,7}:{(34,1),(38,1),(63,1),(72,1)}
        52:{2,4,7}:{(35,1),(64,1),(72,1)}
        53:{2,3,5,7}:{(36,1),(65,1),(70,1),(73,1),(74,1),(76,1),(119,1)}
        54:{1,3,6,7}:{(37,1),(38,1),(71,1),(75,1),(169,1)}
        55:{3,4,6,7}:{(38,1),(39,1),(72,1),(75,1),(76,1),(123,1)}
        56:{2,4,5,7}:{(39,1),(76,1),(77,1)}
        57:{1,3,4,7}:{(41,1),(79,1),(80,1),(92,1),(176,1)}
        58:{2,3,4,6}:{(42,1),(47,1),(78,1),(81,1),(86,1)}
        59:{1,2,3,5,6}:{(40,1),(44,1),(48,1),(82,1),(83,1),(85,1),(94,1),(129,1),(131,1),(134,1),(146,1),(177,1),(178,1),(186,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(45,1),(79,1),(83,1)}
        61:{1,2,4,5,7}:{(41,1),(46,1),(80,1),(83,1),(84,1),(128,1),(136,1),(176,1)}
        62:{1,2,5,6}:{(42,1),(50,1),(81,1),(85,1),(177,1),(186,1)}
        63:{3,5,6}:{(43,1),(51,1),(86,1),(134,1),(146,1)}
        64:{2,4,6}:{(44,1),(52,1),(86,1),(87,1)}
        65:{2,3,5}:{(45,1),(83,1),(87,1),(134,1)}
        66:{2,3,4,6}:{(46,1),(84,1),(88,1),(97,1),(146,1),(175,1),(184,1)}
        67:{1,3,4,6,7}:{(49,1),(79,1),(90,1),(92,1),(130,1),(141,1),(146,1),(176,1),(185,1)}
        68:{1,2,4,7}:{(47,1),(50,1),(81,1),(91,1),(95,1)}
        69:{1,2,4,7}:{(48,1),(52,1),(82,1),(92,1),(95,1),(176,1),(203,1)}
        70:{1,2,5,7}:{(49,1),(53,1),(83,1),(90,1),(94,1),(99,1),(206,1)}
        71:{1,3,5,7}:{(50,1),(51,1),(54,1),(85,1),(91,1),(95,1),(99,1)}
        72:{3,4,7}:{(51,1),(52,1),(86,1),(95,1)}
        73:{2,4,5,7}:{(52,1),(53,1),(87,1),(96,1),(97,1)}
        74:{2,3,5,6}:{(53,1),(94,1),(97,1),(100,1),(146,1)}
        75:{1,4,6,7}:{(54,1),(55,1),(95,1),(99,1),(148,1)}
        76:{3,5,7}:{(55,1),(56,1),(99,1),(100,1)}
        77:{2,4,5,6}:{(56,1),(97,1),(100,1)}
        78:{2,3,4,5}:{(58,1),(102,1),(111,1),(157,1),(189,1)}
        79:{1,3,4,6}:{(57,1),(60,1),(103,1),(104,1),(106,1),(154,1)}
        80:{1,3,5,7}:{(57,1),(61,1),(103,1),(104,1),(119,1)}
        81:{1,2,4,6}:{(58,1),(62,1),(68,1),(102,1),(105,1),(110,1)}
        82:{1,2,4,6}:{(59,1),(64,1),(69,1),(106,1),(107,1),(110,1),(154,1),(191,1)}
        83:{1,2,5}:{(60,1),(65,1),(103,1)}
        84:{1,2,4,6}:{(61,1),(66,1),(104,1),(108,1),(154,1)}
        85:{1,3,5,6}:{(62,1),(63,1),(71,1),(105,1),(110,1),(125,1),(158,1),(169,1)}
        86:{3,4,6}:{(63,1),(64,1),(72,1),(110,1),(111,1)}
        87:{2,4,5}:{(64,1),(65,1),(111,1)}
        88:{2,3,5,6}:{(65,1),(66,1),(108,1),(112,1),(113,1),(159,1),(197,1)}
        89:{2,3,4,6,7}:{(66,1),(109,1),(113,1),(124,1),(170,1),(193,1),(199,1)}
        90:{1,3,5,7}:{(67,1),(70,1),(103,1),(114,1),(115,1),(119,1),(198,1)}
        91:{1,3,7}:{(68,1),(105,1)}
        92:{3,4,7}:{(69,1),(106,1),(119,1)}
        93:{1,2,4,5,7}:{(69,1),(70,1),(73,1),(107,1),(114,1),(119,1),(120,1),(122,1),(164,1),(167,1)}
        94:{1,2,5,6}:{(70,1),(74,1),(115,1),(120,1),(125,1),(197,1)}
        95:{1,4,7}:{(71,1),(72,1),(110,1)}
        96:{3,4,5,7}:{(72,1),(73,1),(76,1),(111,1),(119,1),(122,1),(123,1)}
        97:{2,4,6}:{(73,1),(74,1),(123,1)}
        98:{2,3,5,6,7}:{(74,1),(113,1),(121,1),(124,1),(126,1),(170,1)}
        99:{1,5,7}:{(75,1),(76,1),(125,1)}
       100:{3,5,6}:{(76,1),(77,1),(123,1),(125,1)}
       101:{2,4,5,6,7}:{(77,1),(124,1),(126,1)}
       102:{1,2,4,5}:{(78,1),(81,1),(127,1),(137,1),(172,1),(177,1)}
       103:{1,3,5}:{(79,1),(83,1),(128,1),(134,1)}
       104:{1,3,6}:{(80,1),(84,1),(146,1)}
       105:{1,3,6}:{(81,1),(91,1),(127,1)}
       106:{3,4,6}:{(82,1),(92,1),(134,1),(146,1)}
       107:{1,2,4,5}:{(82,1),(83,1),(87,1),(128,1),(134,1),(137,1),(173,1),(177,1)}
       108:{1,2,5,6}:{(83,1),(84,1),(88,1),(129,1),(136,1)}
       109:{1,2,4,6,7}:{(84,1),(89,1),(130,1),(136,1),(176,1)}
       110:{1,4,6}:{(85,1),(86,1),(95,1),(137,1)}
       111:{3,4,5}:{(86,1),(87,1),(134,1),(137,1)}
       112:{2,4,5,6}:{(87,1),(88,1),(97,1),(138,1),(139,1)}
       113:{2,3,5,7}:{(88,1),(89,1),(136,1),(139,1),(180,1),(206,1)}
       114:{1,4,5,7}:{(90,1),(128,1),(140,1),(141,1),(176,1)}
       115:{1,3,5,6}:{(90,1),(94,1),(141,1),(146,1),(182,1)}
       116:{1,2,3,7}:{(91,1),(131,1),(143,1),(209,1)}
       117:{2,3,4,7}:{(92,1),(132,1),(143,1),(144,1),(203,1),(209,1)}
       118:{1,3,4,7}:{(91,1),(92,1),(95,1),(133,1),(143,1),(145,1)}
       119:{3,5,7}:{(92,1),(93,1),(134,1),(146,1)}
       120:{1,2,4,6}:{(93,1),(94,1),(97,1),(141,1),(146,1),(148,1),(184,1),(186,1)}
       121:{1,2,5,6,7}:{(94,1),(98,1),(136,1),(142,1),(147,1),(150,1),(206,1)}
       122:{1,4,5,7}:{(95,1),(96,1),(99,1),(137,1),(145,1),(148,1)}
       123:{3,4,6}:{(96,1),(97,1),(100,1),(146,1),(148,1)}
       124:{2,4,6,7}:{(97,1),(98,1),(139,1),(149,1)}
       125:{1,5,6}:{(99,1),(100,1),(148,1)}
       126:{3,5,6,7}:{(100,1),(101,1),(149,1),(150,1)}
       127:{1,3,5}:{(102,1),(105,1),(152,1)}
       128:{1,4,5}:{(103,1),(153,1),(154,1)}
       129:{1,3,5,6}:{(103,1),(104,1),(108,1),(154,1),(155,1),(159,1)}
       130:{1,3,6,7}:{(104,1),(109,1),(155,1),(170,1)}
       131:{1,2,3,6}:{(105,1),(116,1),(151,1),(156,1),(207,1)}
       132:{2,3,4,6}:{(106,1),(117,1),(156,1),(157,1),(168,1),(189,1),(191,1),(207,1)}
       133:{1,3,4,6}:{(105,1),(106,1),(110,1),(118,1),(152,1),(156,1),(158,1),(169,1)}
       134:{3,5}:{(106,1),(107,1)}
       135:{1,2,4,5,6}:{(107,1),(108,1),(112,1),(120,1),(154,1),(159,1),(160,1),(161,1),(163,1),(191,1),(194,1),(197,1)}
       136:{1,2,5,7}:{(108,1),(109,1),(113,1),(155,1)}
       137:{1,4,5}:{(110,1),(111,1),(158,1)}
       138:{3,4,5,6}:{(111,1),(112,1),(123,1),(159,1),(161,1),(162,1)}
       139:{2,4,5,7}:{(112,1),(113,1),(124,1),(162,1)}
       140:{3,4,5,7}:{(114,1),(119,1),(153,1),(164,1),(165,1),(193,1),(198,1)}
       141:{1,4,6}:{(114,1),(115,1),(165,1)}
       142:{1,3,5,6,7}:{(115,1),(121,1),(155,1),(166,1),(170,1),(198,1)}
       143:{1,2,4,7}:{(116,1),(117,1),(118,1),(156,1),(167,1)}
       144:{2,3,5,7}:{(117,1),(119,1),(157,1),(164,1),(167,1),(168,1)}
       145:{1,3,5,7}:{(118,1),(119,1),(122,1),(158,1),(167,1),(169,1)}
       146:{3,6}:{(119,1),(120,1)}
       147:{1,2,4,6,7}:{(120,1),(121,1),(124,1),(160,1),(166,1),(170,1),(171,1),(199,1),(200,1)}
       148:{1,4,6}:{(122,1),(123,1),(125,1),(169,1)}
       149:{3,4,6,7}:{(123,1),(124,1),(126,1),(162,1),(170,1),(171,1)}
       150:{1,5,6,7}:{(125,1),(126,1),(171,1)}
       151:{1,2,3,5}:{(127,1),(131,1),(172,1),(177,1),(201,1)}
       152:{1,3,4}:{(127,1),(172,1)}
       153:{3,4,5}:{(128,1),(134,1),(173,1),(175,1)}
       154:{1,4,6}:{(128,1),(129,1),(175,1),(176,1)}
       155:{1,3,5,7}:{(129,1),(130,1),(136,1),(176,1),(180,1)}
       156:{1,2,4,6}:{(131,1),(132,1),(133,1),(143,1),(172,1),(177,1),(186,1)}
       157:{2,3,5}:{(132,1),(134,1),(173,1),(177,1)}
       158:{1,3,5}:{(133,1),(134,1),(137,1),(177,1)}
       159:{3,5,6}:{(134,1),(135,1),(146,1),(175,1),(180,1)}
       160:{1,2,4,5,7}:{(135,1),(136,1),(139,1),(147,1),(176,1),(180,1),(181,1),(183,1),(203,1),(205,1),(206,1)}
       161:{1,4,5,6}:{(137,1),(138,1),(148,1),(179,1),(181,1)}
       162:{3,4,5,7}:{(138,1),(139,1),(149,1),(180,1),(181,1)}
       163:{1,4,5,6}:{(141,1),(182,1),(183,1)}
       164:{2,4,5,7}:{(140,1),(144,1),(173,1),(184,1),(203,1),(206,1)}
       165:{3,4,6}:{(140,1),(141,1),(146,1),(182,1),(184,1)}
       166:{1,4,6,7}:{(141,1),(142,1),(176,1),(183,1),(185,1)}
       167:{1,2,5,7}:{(143,1),(144,1),(145,1),(177,1),(186,1)}
       168:{2,3,6}:{(144,1),(146,1),(184,1),(186,1)}
       169:{1,3,6}:{(145,1),(146,1),(148,1),(186,1)}
       170:{3,6,7}:{(146,1),(147,1),(180,1)}
       171:{1,4,6,7}:{(148,1),(149,1),(150,1),(181,1),(188,1)}
       172:{1,2,4}:{(151,1),(152,1),(189,1)}
       173:{2,4,5}:{(153,1),(157,1),(191,1)}
       174:{1,3,4,5}:{(152,1),(153,1),(158,1),(190,1),(192,1)}
       175:{3,4,6}:{(153,1),(154,1),(159,1),(191,1),(193,1)}
       176:{1,4,7}:{(154,1),(155,1),(193,1)}
       177:{1,2,5}:{(156,1),(157,1),(158,1)}
       178:{2,3,5,6}:{(157,1),(159,1),(168,1),(191,1),(194,1),(195,1),(197,1),(207,1)}
       179:{1,3,5,6}:{(158,1),(159,1),(161,1),(169,1),(192,1),(194,1),(196,1)}
       180:{3,5,7}:{(159,1),(160,1),(170,1),(193,1)}
       181:{1,4,5,7}:{(161,1),(162,1),(171,1),(196,1)}
       182:{3,5,6}:{(163,1),(165,1),(197,1),(198,1)}
       183:{1,4,5,7}:{(163,1),(166,1),(198,1)}
       184:{2,4,6}:{(164,1),(165,1),(168,1),(197,1)}
       185:{3,4,6,7}:{(165,1),(166,1),(170,1),(193,1),(198,1),(199,1)}
       186:{1,2,6}:{(167,1),(168,1),(169,1)}
       187:{2,3,6,7}:{(168,1),(170,1),(195,1),(199,1),(200,1)}
       188:{1,3,6,7}:{(169,1),(170,1),(171,1),(196,1),(200,1)}
       189:{2,3,4}:{(172,1),(201,1)}
       190:{1,2,4,5}:{(172,1),(173,1),(174,1),(177,1),(201,1),(202,1)}
       191:{2,4,6}:{(173,1),(175,1),(178,1),(203,1)}
       192:{1,3,4,6}:{(174,1),(175,1),(179,1),(202,1),(204,1)}
       193:{3,4,7}:{(175,1),(176,1),(180,1),(203,1)}
       194:{1,2,5,6}:{(177,1),(178,1),(179,1),(186,1),(202,1),(205,1)}
       195:{2,3,5,7}:{(178,1),(180,1),(187,1),(203,1),(205,1),(206,1),(209,1)}
       196:{1,3,5,7}:{(179,1),(180,1),(181,1),(188,1),(204,1),(205,1)}
       197:{2,5,6}:{(182,1),(184,1),(206,1)}
       198:{3,5,7}:{(182,1),(183,1),(185,1),(206,1)}
       199:{2,4,6,7}:{(184,1),(185,1),(187,1),(203,1),(206,1)}
       200:{1,2,6,7}:{(186,1),(187,1),(188,1),(205,1)}
       201:{2,3,5}:{(189,1),(190,1),(207,1)}
       202:{1,2,4,6}:{(190,1),(191,1),(192,1),(194,1),(207,1),(208,1)}
       203:{2,4,7}:{(191,1),(193,1),(195,1)}
       204:{1,3,4,7}:{(192,1),(193,1),(196,1),(208,1)}
       205:{1,2,5,7}:{(194,1),(195,1),(196,1),(200,1),(208,1)}
       206:{2,5,7}:{(197,1),(198,1),(199,1)}
       207:{2,3,6}:{(201,1),(202,1),(209,1)}
       208:{1,2,4,7}:{(202,1),(203,1),(204,1),(205,1),(209,1)}
       209:{2,3,7}:{(207,1),(208,1)}

1556 :   0:{3,4,5,6}:{(3,1),(4,1),(5,1),(34,1),(77,1),(116,1),(140,1)}
         1:{1,3,4,5}:{(6,1),(9,1),(45,1),(77,1),(83,1)}
         2:{2,3,4,5}:{(7,1),(10,1),(44,1),(77,1),(81,1)}
         3:{3,4,5,7}:{(0,1),(14,1),(15,1),(16,1),(55,1),(130,1)}
         4:{1,4,5,6}:{(0,1),(11,1),(15,1),(95,1),(129,1)}
         5:{2,4,5,6}:{(0,1),(12,1),(16,1),(92,1),(127,1)}
         6:{1,3,4,6}:{(1,1),(11,1),(18,1),(19,1),(56,1)}
         7:{2,3,4,6}:{(2,1),(12,1),(20,1),(21,1),(56,1)}
         8:{1,2,3,5,6}:{(22,1),(23,1),(48,1),(51,1),(57,1),(63,1),(100,1),(104,1),(105,1),(132,1)}
         9:{1,2,4,5}:{(1,1),(19,1),(24,1),(66,1),(92,1),(100,1)}
        10:{1,2,4,5}:{(2,1),(21,1),(25,1),(66,1),(95,1),(100,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(26,1),(27,1),(34,1),(83,1),(119,1)}
        12:{2,3,5,6}:{(5,1),(7,1),(28,1),(29,1),(34,1),(81,1),(118,1)}
        13:{4,5,6,7}:{(30,1),(114,1),(140,1)}
        14:{3,4,6,7}:{(3,1),(30,1),(31,1),(32,1),(75,1),(114,1),(116,1)}
        15:{1,4,5,7}:{(3,1),(4,1),(26,1),(31,1)}
        16:{2,4,5,7}:{(3,1),(5,1),(28,1),(32,1)}
        17:{1,2,4,5,6}:{(4,1),(5,1),(27,1),(29,1),(33,1),(34,1),(42,1),(70,1),(73,1),(87,1),(109,1),(137,1),(138,1),(139,1),(140,1)}
        18:{1,3,4,7}:{(6,1),(26,1),(35,1),(76,1)}
        19:{1,2,4,6}:{(6,1),(9,1),(27,1),(35,1),(36,1),(70,1)}
        20:{2,3,4,7}:{(7,1),(28,1),(37,1),(76,1)}
        21:{1,2,4,6}:{(7,1),(10,1),(29,1),(37,1),(38,1),(73,1)}
        22:{1,2,3,5,7}:{(8,1),(40,1),(41,1),(69,1),(72,1),(78,1),(85,1),(86,1),(117,1)}
        23:{1,2,4,6}:{(8,1),(39,1),(41,1),(42,1),(70,1),(73,1)}
        24:{2,3,5}:{(9,1),(36,1),(44,1)}
        25:{1,3,5}:{(10,1),(38,1),(45,1)}
        26:{1,3,5,7}:{(11,1),(15,1),(18,1),(46,1),(47,1),(55,1)}
        27:{1,2,5,6}:{(11,1),(19,1),(47,1),(48,1),(100,1),(132,1)}
        28:{2,3,5,7}:{(12,1),(16,1),(20,1),(49,1),(50,1),(55,1)}
        29:{1,2,5,6}:{(12,1),(21,1),(50,1),(51,1),(100,1),(132,1)}
        30:{3,5,6,7}:{(13,1),(14,1),(52,1),(53,1),(131,1)}
        31:{1,4,6,7}:{(14,1),(15,1),(46,1),(52,1),(129,1)}
        32:{2,4,6,7}:{(14,1),(16,1),(49,1),(53,1),(127,1)}
        33:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(47,1),(50,1),(54,1),(55,1),(91,1),(94,1),(126,1),(128,1),(130,1)}
        34:{3,5,6}:{(17,1),(55,1),(56,1),(63,1),(104,1),(123,1),(142,1)}
        35:{1,2,4,7}:{(18,1),(19,1),(47,1),(58,1),(91,1)}
        36:{2,3,6}:{(19,1),(24,1),(58,1)}
        37:{1,2,4,7}:{(20,1),(21,1),(50,1),(60,1),(94,1)}
        38:{1,3,6}:{(21,1),(25,1),(60,1)}
        39:{3,4,6}:{(23,1),(62,1),(63,1),(104,1)}
        40:{1,2,3,6,7}:{(22,1),(64,1),(90,1),(93,1),(104,1),(132,1)}
        41:{1,2,4,7}:{(22,1),(23,1),(62,1),(91,1),(94,1)}
        42:{1,2,4,5}:{(23,1),(63,1),(92,1),(95,1),(100,1)}
        43:{1,2,3,5}:{(24,1),(25,1),(57,1),(66,1),(100,1)}
        44:{2,3,4}:{(24,1),(66,1)}
        45:{1,3,4}:{(25,1),(66,1)}
        46:{1,3,6,7}:{(26,1),(31,1),(68,1),(75,1),(119,1)}
        47:{1,2,5,7}:{(26,1),(27,1),(35,1),(68,1),(69,1)}
        48:{2,3,5,6}:{(27,1),(34,1),(36,1),(69,1),(70,1),(81,1),(118,1),(138,1)}
        49:{2,3,6,7}:{(28,1),(32,1),(71,1),(75,1),(118,1)}
        50:{1,2,5,7}:{(28,1),(29,1),(37,1),(71,1),(72,1)}
        51:{1,3,5,6}:{(29,1),(34,1),(38,1),(72,1),(73,1),(83,1),(119,1),(139,1)}
        52:{1,5,6,7}:{(30,1),(31,1),(139,1)}
        53:{2,5,6,7}:{(30,1),(32,1),(138,1)}
        54:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(68,1),(71,1),(74,1),(75,1),(87,1),(110,1),(112,1),(114,1),(137,1)}
        55:{3,5,7}:{(33,1),(34,1),(75,1),(76,1)}
        56:{3,4,6}:{(34,1),(70,1),(73,1),(76,1),(77,1)}
        57:{1,2,3,6}:{(36,1),(38,1),(43,1),(78,1),(79,1)}
        58:{2,3,7}:{(35,1),(36,1)}
        59:{2,3,4,6}:{(36,1),(39,1),(44,1),(70,1),(79,1),(80,1),(81,1),(106,1),(118,1)}
        60:{1,3,7}:{(37,1),(38,1)}
        61:{1,3,4,6}:{(38,1),(39,1),(45,1),(73,1),(79,1),(82,1),(83,1),(106,1),(119,1)}
        62:{3,4,7}:{(39,1),(41,1),(85,1)}
        63:{3,5}:{(39,1),(42,1)}
        64:{1,2,4,6,7}:{(40,1),(41,1),(84,1),(86,1),(87,1),(110,1),(112,1)}
        65:{1,2,4,5,7}:{(41,1),(42,1),(85,1),(86,1),(87,1),(111,1),(113,1),(117,1),(120,1)}
        66:{1,2,4}:{(43,1),(44,1),(45,1)}
        67:{1,2,3,5,6}:{(48,1),(51,1),(57,1),(88,1),(89,1),(100,1),(123,1),(132,1),(142,1),(143,1)}
        68:{1,2,6,7}:{(46,1),(47,1),(90,1),(132,1)}
        69:{2,3,5,7}:{(47,1),(48,1),(55,1),(58,1),(90,1),(91,1),(126,1)}
        70:{2,4,6}:{(48,1),(56,1),(91,1),(92,1)}
        71:{1,2,6,7}:{(49,1),(50,1),(93,1),(132,1)}
        72:{1,3,5,7}:{(50,1),(51,1),(55,1),(60,1),(93,1),(94,1),(128,1)}
        73:{1,4,6}:{(51,1),(56,1),(94,1),(95,1)}
        74:{1,2,5,6,7}:{(52,1),(53,1),(54,1),(96,1),(105,1),(126,1),(128,1),(143,1)}
        75:{3,6,7}:{(54,1),(55,1),(104,1),(142,1)}
        76:{3,4,7}:{(55,1),(56,1),(91,1),(94,1)}
        77:{3,4,5}:{(56,1),(63,1),(92,1),(95,1),(123,1)}
        78:{1,2,3,7}:{(57,1),(58,1),(60,1),(99,1)}
        79:{1,2,4,6}:{(57,1),(59,1),(61,1),(66,1),(99,1),(100,1),(132,1)}
        80:{2,3,4,7}:{(58,1),(59,1),(62,1),(91,1),(99,1),(101,1),(122,1)}
        81:{2,3,5}:{(59,1),(63,1),(92,1),(100,1),(123,1)}
        82:{1,3,4,7}:{(60,1),(61,1),(62,1),(94,1),(99,1),(102,1),(122,1)}
        83:{1,3,5}:{(61,1),(63,1),(95,1),(100,1),(123,1)}
        84:{3,4,6,7}:{(62,1),(64,1),(103,1),(104,1),(133,1)}
        85:{3,5,7}:{(62,1),(63,1),(65,1),(104,1)}
        86:{1,2,5,7}:{(64,1),(103,1),(105,1),(126,1),(128,1)}
        87:{1,2,4,6}:{(65,1),(104,1),(105,1),(127,1),(129,1),(132,1),(133,1)}
        88:{1,2,3,5,7}:{(67,1),(69,1),(72,1),(78,1),(107,1),(108,1),(117,1),(135,1),(136,1)}
        89:{1,2,4,6}:{(67,1),(70,1),(73,1),(106,1),(108,1),(109,1)}
        90:{2,3,6,7}:{(68,1),(69,1),(75,1),(110,1),(118,1)}
        91:{2,4,7}:{(69,1),(70,1),(76,1)}
        92:{2,4,5}:{(70,1),(77,1),(81,1)}
        93:{1,3,6,7}:{(71,1),(72,1),(75,1),(112,1),(119,1)}
        94:{1,4,7}:{(72,1),(73,1),(76,1)}
        95:{1,4,5}:{(73,1),(77,1),(83,1)}
        96:{3,5,6,7}:{(74,1),(75,1),(114,1),(115,1),(121,1),(145,1)}
        97:{3,4,6,7}:{(75,1),(76,1),(110,1),(112,1),(114,1),(115,1),(116,1)}
        98:{3,4,5,7}:{(76,1),(77,1),(85,1),(111,1),(113,1),(115,1),(116,1),(120,1),(135,1),(144,1)}
        99:{1,2,4,7}:{(78,1),(79,1),(80,1),(82,1),(117,1)}
       100:{1,2,5}:{(79,1),(81,1),(83,1)}
       101:{2,3,5,7}:{(80,1),(81,1),(85,1),(111,1),(117,1),(118,1),(135,1)}
       102:{1,3,5,7}:{(82,1),(83,1),(85,1),(113,1),(117,1),(119,1),(135,1)}
       103:{3,5,7}:{(84,1),(86,1),(120,1),(121,1)}
       104:{3,6}:{(85,1),(87,1)}
       105:{1,2,5,6}:{(86,1),(87,1),(121,1),(138,1),(139,1)}
       106:{3,4,6}:{(89,1),(122,1),(123,1),(142,1)}
       107:{1,2,3,6,7}:{(88,1),(90,1),(93,1),(124,1),(132,1),(142,1)}
       108:{1,2,4,7}:{(88,1),(89,1),(91,1),(94,1),(122,1)}
       109:{1,2,4,5}:{(89,1),(92,1),(95,1),(100,1),(123,1)}
       110:{2,4,6,7}:{(90,1),(91,1),(97,1),(126,1),(127,1)}
       111:{2,4,5,7}:{(91,1),(92,1),(98,1),(101,1),(126,1),(127,1)}
       112:{1,4,6,7}:{(93,1),(94,1),(97,1),(128,1),(129,1)}
       113:{1,4,5,7}:{(94,1),(95,1),(98,1),(102,1),(128,1),(129,1)}
       114:{4,6,7}:{(96,1),(130,1),(133,1),(146,1)}
       115:{3,5,7}:{(97,1),(126,1),(128,1),(130,1),(131,1)}
       116:{3,4,6}:{(98,1),(104,1),(127,1),(129,1),(131,1),(133,1),(142,1),(146,1)}
       117:{1,2,5,7}:{(99,1),(100,1),(101,1),(102,1),(132,1)}
       118:{2,3,6}:{(101,1),(104,1),(127,1),(132,1),(142,1)}
       119:{1,3,6}:{(102,1),(104,1),(129,1),(132,1),(142,1)}
       120:{4,5,7}:{(103,1),(133,1)}
       121:{3,5,6}:{(103,1),(104,1),(105,1),(133,1)}
       122:{3,4,7}:{(106,1),(108,1),(135,1)}
       123:{3,5}:{(106,1),(109,1)}
       124:{1,2,4,6,7}:{(107,1),(108,1),(110,1),(112,1),(134,1),(136,1),(137,1)}
       125:{1,2,4,5,7}:{(108,1),(109,1),(111,1),(113,1),(117,1),(135,1),(136,1),(137,1),(144,1)}
       126:{2,5,7}:{(110,1),(115,1),(138,1)}
       127:{2,4,6}:{(111,1),(116,1),(118,1),(138,1)}
       128:{1,5,7}:{(112,1),(115,1),(139,1)}
       129:{1,4,6}:{(113,1),(116,1),(119,1),(139,1)}
       130:{4,5,7}:{(114,1),(115,1),(140,1)}
       131:{3,5,6}:{(115,1),(116,1),(138,1),(139,1),(140,1)}
       132:{1,2,6}:{(117,1),(118,1),(119,1)}
       133:{4,6}:{(120,1),(121,1)}
       134:{3,4,6,7}:{(122,1),(124,1),(141,1),(142,1),(146,1)}
       135:{3,5,7}:{(122,1),(123,1),(125,1),(142,1)}
       136:{1,2,5,7}:{(124,1),(126,1),(128,1),(141,1),(143,1)}
       137:{1,2,4,6}:{(125,1),(127,1),(129,1),(132,1),(142,1),(143,1),(146,1)}
       138:{2,5,6}:{(126,1),(127,1),(131,1)}
       139:{1,5,6}:{(128,1),(129,1),(131,1)}
       140:{4,5,6}:{(130,1),(131,1),(133,1),(146,1)}
       141:{3,5,7}:{(134,1),(136,1),(144,1),(145,1)}
       142:{3,6}:{(135,1),(137,1)}
       143:{1,2,5,6}:{(136,1),(137,1),(138,1),(139,1),(145,1)}
       144:{4,5,7}:{(141,1),(146,1)}
       145:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

1557 :   0:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(27,1),(29,1),(53,1),(66,1)}
         1:{2,3,5,6,7}:{(4,1),(6,1),(17,1),(28,1),(29,1),(50,1),(67,1)}
         2:{1,3,4,6,7}:{(7,1),(8,1),(14,1),(33,1),(48,1),(70,1),(78,1),(84,1),(107,1),(111,1),(119,1)}
         3:{2,3,4,6,7}:{(9,1),(10,1),(15,1),(35,1),(49,1),(73,1),(81,1),(85,1),(108,1),(112,1),(119,1)}
         4:{1,2,5,6,7}:{(0,1),(1,1),(13,1),(32,1),(34,1),(46,1),(47,1),(86,1)}
         5:{1,4,6,7}:{(0,1),(11,1),(14,1),(33,1),(72,1),(84,1)}
         6:{2,4,6,7}:{(1,1),(12,1),(15,1),(35,1),(69,1),(85,1)}
         7:{1,2,4,6,7}:{(2,1),(20,1),(21,1),(30,1),(51,1),(59,1),(68,1),(105,1),(125,1)}
         8:{1,3,5,7}:{(2,1),(16,1),(21,1),(22,1),(27,1),(60,1),(120,1),(123,1)}
         9:{1,2,4,6,7}:{(3,1),(23,1),(24,1),(31,1),(54,1),(62,1),(68,1),(105,1),(122,1)}
        10:{2,3,5,7}:{(3,1),(17,1),(24,1),(25,1),(28,1),(63,1),(121,1),(124,1)}
        11:{1,4,5,7}:{(5,1),(18,1),(27,1),(91,1)}
        12:{2,4,5,7}:{(6,1),(19,1),(28,1),(87,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(26,1),(29,1),(30,1),(31,1),(51,1),(54,1),(68,1),(105,1)}
        14:{3,4,6,7}:{(5,1),(27,1),(29,1),(30,1),(52,1),(65,1),(92,1)}
        15:{3,4,6,7}:{(6,1),(28,1),(29,1),(31,1),(55,1),(65,1),(88,1)}
        16:{1,3,5,6}:{(8,1),(32,1),(33,1),(37,1),(70,1)}
        17:{2,3,5,6}:{(10,1),(34,1),(35,1),(38,1),(73,1)}
        18:{1,4,5,6}:{(11,1),(33,1),(37,1)}
        19:{2,4,5,6}:{(12,1),(35,1),(38,1)}
        20:{2,3,6,7}:{(7,1),(39,1),(70,1),(119,1),(133,1)}
        21:{1,2,5,7}:{(7,1),(8,1),(32,1),(39,1),(46,1),(132,1)}
        22:{1,4,5,7}:{(8,1),(33,1),(41,1),(84,1),(114,1)}
        23:{1,3,6,7}:{(9,1),(42,1),(73,1),(119,1),(131,1)}
        24:{1,2,5,7}:{(9,1),(10,1),(34,1),(42,1),(47,1),(130,1)}
        25:{2,4,5,7}:{(10,1),(35,1),(44,1),(85,1),(115,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(36,1),(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        27:{3,5,7}:{(11,1),(14,1),(37,1),(46,1),(110,1)}
        28:{3,5,7}:{(12,1),(15,1),(38,1),(47,1),(106,1)}
        29:{3,6,7}:{(13,1),(45,1),(70,1),(73,1),(119,1)}
        30:{2,4,6,7}:{(14,1),(46,1),(49,1),(71,1),(85,1),(112,1)}
        31:{1,4,6,7}:{(15,1),(47,1),(48,1),(74,1),(84,1),(107,1)}
        32:{1,2,5,6}:{(16,1),(21,1),(50,1),(51,1),(57,1),(120,1)}
        33:{1,4,6}:{(16,1),(22,1),(52,1)}
        34:{1,2,5,6}:{(17,1),(24,1),(53,1),(54,1),(58,1),(124,1)}
        35:{2,4,6}:{(17,1),(25,1),(55,1)}
        36:{1,2,4,5,6}:{(18,1),(19,1),(26,1),(51,1),(54,1),(56,1),(57,1),(58,1),(87,1),(91,1),(96,1),(97,1),(98,1),(120,1),(124,1),(126,1)}
        37:{3,5,6}:{(18,1),(27,1),(52,1),(57,1)}
        38:{3,5,6}:{(19,1),(28,1),(55,1),(58,1)}
        39:{2,3,5,7}:{(20,1),(21,1),(50,1),(59,1),(60,1),(136,1)}
        40:{1,2,4,5,7}:{(21,1),(22,1),(51,1),(59,1),(60,1),(61,1),(87,1),(99,1),(101,1),(105,1),(120,1),(126,1)}
        41:{3,4,5,7}:{(22,1),(27,1),(52,1),(60,1),(61,1),(65,1),(95,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(53,1),(62,1),(63,1),(135,1)}
        43:{1,2,4,5,7}:{(24,1),(25,1),(54,1),(62,1),(63,1),(64,1),(91,1),(103,1),(104,1),(105,1),(124,1),(126,1)}
        44:{3,4,5,7}:{(25,1),(28,1),(55,1),(63,1),(64,1),(65,1),(95,1)}
        45:{3,5,7}:{(26,1),(29,1),(56,1),(65,1)}
        46:{2,5,7}:{(27,1),(30,1),(57,1),(124,1)}
        47:{1,5,7}:{(28,1),(31,1),(58,1),(120,1)}
        48:{1,3,6,7}:{(29,1),(31,1),(66,1),(68,1),(89,1),(93,1)}
        49:{2,3,6,7}:{(29,1),(30,1),(67,1),(68,1),(90,1),(94,1)}
        50:{2,3,5,6}:{(32,1),(39,1),(69,1),(70,1),(106,1)}
        51:{1,2,4,6}:{(32,1),(33,1),(40,1),(69,1),(70,1),(71,1),(107,1),(109,1)}
        52:{3,4,6}:{(33,1),(37,1),(41,1),(70,1),(71,1)}
        53:{1,3,5,6}:{(34,1),(42,1),(72,1),(73,1),(110,1)}
        54:{1,2,4,6}:{(34,1),(35,1),(43,1),(72,1),(73,1),(74,1),(112,1),(113,1)}
        55:{3,4,6}:{(35,1),(38,1),(44,1),(73,1),(74,1)}
        56:{3,5,6}:{(36,1),(45,1),(70,1),(73,1),(75,1),(106,1),(110,1),(134,1)}
        57:{2,5,6}:{(37,1),(46,1),(71,1)}
        58:{1,5,6}:{(38,1),(47,1),(74,1)}
        59:{2,4,7}:{(39,1),(69,1),(78,1),(139,1)}
        60:{3,5,7}:{(40,1),(70,1),(78,1),(106,1),(119,1),(134,1)}
        61:{2,4,5,7}:{(41,1),(46,1),(71,1),(80,1),(85,1),(115,1)}
        62:{1,4,7}:{(42,1),(72,1),(81,1),(138,1)}
        63:{3,5,7}:{(43,1),(73,1),(81,1),(110,1),(119,1),(134,1)}
        64:{1,4,5,7}:{(44,1),(47,1),(74,1),(82,1),(84,1),(114,1)}
        65:{3,4,7}:{(45,1),(75,1),(84,1),(85,1),(119,1)}
        66:{1,3,5,7}:{(45,1),(47,1),(48,1),(76,1),(84,1),(86,1),(119,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(49,1),(77,1),(85,1),(86,1),(119,1)}
        68:{1,2,6,7}:{(48,1),(49,1),(86,1),(109,1),(113,1)}
        69:{2,4,6}:{(50,1),(59,1),(87,1),(88,1)}
        70:{3,6}:{(51,1),(60,1)}
        71:{2,4,6}:{(52,1),(57,1),(61,1),(90,1)}
        72:{1,4,6}:{(53,1),(62,1),(91,1),(92,1)}
        73:{3,6}:{(54,1),(63,1)}
        74:{1,4,6}:{(55,1),(58,1),(64,1),(93,1)}
        75:{3,4,6}:{(56,1),(65,1),(95,1),(96,1),(97,1),(127,1),(137,1)}
        76:{1,3,5,6}:{(56,1),(58,1),(66,1),(89,1),(93,1),(96,1),(98,1),(120,1),(123,1),(127,1),(135,1)}
        77:{2,3,5,6}:{(56,1),(57,1),(67,1),(90,1),(94,1),(97,1),(98,1),(121,1),(124,1),(127,1),(136,1)}
        78:{3,4,7}:{(59,1),(60,1),(88,1),(99,1),(137,1)}
        79:{1,3,5,7}:{(60,1),(89,1),(99,1),(101,1),(120,1),(128,1),(135,1)}
        80:{2,3,5,7}:{(60,1),(61,1),(90,1),(100,1),(101,1),(121,1)}
        81:{3,4,7}:{(62,1),(63,1),(92,1),(103,1),(137,1)}
        82:{1,3,5,7}:{(63,1),(64,1),(93,1),(102,1),(104,1),(123,1)}
        83:{2,3,5,7}:{(63,1),(94,1),(103,1),(104,1),(124,1),(129,1),(136,1)}
        84:{1,4,7}:{(65,1),(66,1),(96,1)}
        85:{2,4,7}:{(65,1),(67,1),(97,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(98,1),(105,1)}
        87:{2,4,5}:{(69,1),(106,1)}
        88:{3,4,6}:{(69,1),(70,1),(78,1),(106,1),(107,1)}
        89:{1,3,6}:{(70,1),(79,1),(107,1),(109,1)}
        90:{2,3,6}:{(70,1),(71,1),(80,1),(109,1)}
        91:{1,4,5}:{(72,1),(110,1)}
        92:{3,4,6}:{(72,1),(73,1),(81,1),(110,1),(112,1)}
        93:{1,3,6}:{(73,1),(74,1),(82,1),(113,1)}
        94:{2,3,6}:{(73,1),(83,1),(112,1),(113,1)}
        95:{3,4,5}:{(75,1),(106,1),(110,1),(114,1),(115,1),(134,1)}
        96:{1,4,6}:{(75,1),(76,1),(84,1),(114,1),(138,1)}
        97:{2,4,6}:{(75,1),(77,1),(85,1),(115,1),(139,1)}
        98:{1,2,5,6}:{(76,1),(77,1),(86,1),(109,1),(113,1),(116,1),(130,1),(132,1)}
        99:{1,4,7}:{(78,1),(79,1),(107,1),(138,1)}
       100:{2,3,4,7}:{(78,1),(80,1),(85,1),(108,1),(117,1),(119,1)}
       101:{1,2,5,7}:{(79,1),(80,1),(109,1),(117,1),(130,1)}
       102:{1,3,4,7}:{(81,1),(82,1),(84,1),(111,1),(118,1),(119,1)}
       103:{2,4,7}:{(81,1),(83,1),(112,1),(139,1)}
       104:{1,2,5,7}:{(82,1),(83,1),(113,1),(118,1),(132,1)}
       105:{1,2,4,7}:{(84,1),(85,1),(86,1),(116,1),(119,1)}
       106:{3,5}:{(87,1),(88,1),(120,1)}
       107:{1,4,6}:{(88,1),(89,1),(99,1),(120,1)}
       108:{2,3,4,6}:{(88,1),(90,1),(97,1),(100,1),(121,1),(122,1),(127,1),(137,1)}
       109:{1,2,6}:{(89,1),(90,1),(101,1)}
       110:{3,5}:{(91,1),(92,1),(124,1)}
       111:{1,3,4,6}:{(92,1),(93,1),(96,1),(102,1),(123,1),(125,1),(127,1),(137,1)}
       112:{2,4,6}:{(92,1),(94,1),(103,1),(124,1)}
       113:{1,2,6}:{(93,1),(94,1),(104,1)}
       114:{1,4,5}:{(95,1),(96,1),(120,1),(123,1)}
       115:{2,4,5}:{(95,1),(97,1),(121,1),(124,1)}
       116:{1,2,4,6}:{(96,1),(97,1),(98,1),(105,1),(126,1),(127,1)}
       117:{1,2,4,7}:{(99,1),(100,1),(101,1),(122,1),(128,1)}
       118:{1,2,4,7}:{(102,1),(103,1),(104,1),(125,1),(129,1)}
       119:{3,7}:{(105,1),(127,1)}
       120:{1,5}:{(106,1),(107,1)}
       121:{2,3,5}:{(106,1),(108,1),(115,1),(130,1),(134,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(117,1),(130,1),(131,1),(138,1)}
       123:{1,3,5}:{(110,1),(111,1),(114,1),(132,1),(134,1)}
       124:{2,5}:{(110,1),(112,1)}
       125:{1,2,4,6}:{(111,1),(112,1),(113,1),(118,1),(132,1),(133,1),(139,1)}
       126:{1,2,4,5}:{(114,1),(115,1),(116,1),(130,1),(132,1),(134,1),(138,1),(139,1)}
       127:{3,6}:{(116,1),(119,1),(134,1)}
       128:{1,3,7}:{(117,1),(119,1),(131,1)}
       129:{2,3,7}:{(118,1),(119,1),(133,1)}
       130:{1,2,5}:{(120,1),(121,1),(122,1),(135,1)}
       131:{1,3,6}:{(122,1),(127,1),(128,1),(135,1)}
       132:{1,2,5}:{(123,1),(124,1),(125,1),(136,1)}
       133:{2,3,6}:{(125,1),(127,1),(129,1),(136,1)}
       134:{3,5}:{(126,1),(127,1),(137,1)}
       135:{1,3,5}:{(130,1),(131,1),(134,1),(138,1)}
       136:{2,3,5}:{(132,1),(133,1),(134,1),(139,1)}
       137:{3,4}:{(134,1),(138,1),(139,1)}
       138:{1,4}:{(135,1),(137,1)}
       139:{2,4}:{(136,1),(137,1)}

1558 :   0:{1,2,3,5,6}:{(1,1),(2,1),(7,1),(11,1),(36,1),(38,1),(40,1),(42,1),(44,1),(77,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(17,1),(24,1),(26,1),(56,1),(59,1),(61,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(51,1),(53,1)}
         3:{3,4,6}:{(2,1),(10,1),(11,1),(42,1)}
         4:{1,2,3,6,7}:{(1,1),(12,1),(42,1),(77,1),(79,1),(80,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(10,1),(72,1),(74,1)}
         6:{1,2,4,5}:{(2,1),(11,1),(31,1),(32,1),(36,1)}
         7:{1,2,3,6}:{(15,1),(17,1),(18,1),(85,1)}
         8:{2,3,4,6}:{(3,1),(18,1),(19,1),(20,1),(46,1),(51,1),(58,1),(83,1),(85,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(21,1),(22,1),(46,1),(53,1),(60,1),(83,1),(85,1)}
        10:{3,4,7}:{(3,1),(5,1),(24,1)}
        11:{3,5}:{(3,1),(6,1)}
        12:{1,2,4,6,7}:{(4,1),(5,1),(23,1),(26,1),(27,1),(90,1),(92,1)}
        13:{1,2,4,5,7}:{(5,1),(6,1),(24,1),(26,1),(27,1),(50,1),(52,1),(56,1),(62,1)}
        14:{1,2,4,5,6}:{(6,1),(25,1),(27,1),(28,1),(51,1),(53,1),(57,1),(89,1),(91,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(30,1),(36,1),(67,1)}
        16:{3,4,5}:{(11,1),(31,1),(32,1),(34,1),(67,1)}
        17:{1,2,3,7}:{(7,1),(35,1),(99,1)}
        18:{1,2,4,6}:{(7,1),(8,1),(9,1),(30,1),(35,1),(36,1),(77,1)}
        19:{2,3,4,7}:{(8,1),(10,1),(35,1),(37,1),(66,1),(72,1),(99,1)}
        20:{2,3,5}:{(8,1),(11,1),(31,1),(36,1),(67,1),(97,1)}
        21:{1,3,4,7}:{(9,1),(10,1),(35,1),(39,1),(66,1),(74,1),(99,1)}
        22:{1,3,5}:{(9,1),(11,1),(32,1),(36,1),(67,1),(97,1)}
        23:{3,4,6,7}:{(10,1),(12,1),(41,1),(42,1),(81,1)}
        24:{3,5,7}:{(10,1),(11,1),(13,1),(42,1)}
        25:{3,5,6}:{(11,1),(14,1),(34,1),(42,1),(43,1)}
        26:{1,2,5,7}:{(12,1),(41,1),(44,1),(102,1),(103,1)}
        27:{1,2,4,6}:{(13,1),(42,1),(44,1),(71,1),(73,1),(77,1),(81,1)}
        28:{1,2,4,5,7}:{(14,1),(43,1),(45,1),(72,1),(74,1),(78,1),(102,1),(103,1),(104,1)}
        29:{1,2,3,5,7}:{(15,1),(17,1),(47,1),(48,1),(56,1),(84,1),(86,1)}
        30:{1,2,4}:{(15,1),(46,1)}
        31:{2,4,5}:{(16,1),(20,1),(51,1),(105,1)}
        32:{1,4,5}:{(16,1),(22,1),(53,1),(105,1)}
        33:{3,4,5,7}:{(16,1),(24,1),(50,1),(52,1),(54,1),(55,1),(62,1),(84,1),(94,1),(105,1),(111,1)}
        34:{3,4,6}:{(16,1),(25,1),(51,1),(53,1),(55,1),(85,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(19,1),(21,1),(56,1)}
        36:{1,2,5}:{(18,1),(20,1),(22,1)}
        37:{2,3,5,7}:{(19,1),(20,1),(24,1),(50,1),(56,1),(58,1),(84,1)}
        38:{2,3,5,6}:{(20,1),(25,1),(51,1),(57,1),(58,1),(59,1),(85,1),(89,1),(106,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(24,1),(52,1),(56,1),(60,1),(84,1)}
        40:{1,3,5,6}:{(22,1),(25,1),(53,1),(57,1),(60,1),(61,1),(85,1),(91,1),(106,1)}
        41:{3,5,7}:{(23,1),(26,1),(62,1),(63,1)}
        42:{3,6}:{(24,1),(27,1)}
        43:{3,5,7}:{(25,1),(28,1),(55,1),(64,1)}
        44:{1,2,5,6}:{(26,1),(27,1),(63,1),(89,1),(91,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(64,1),(65,1),(90,1),(92,1),(95,1),(96,1)}
        46:{3,4}:{(30,1),(67,1)}
        47:{1,2,3,6}:{(29,1),(68,1),(77,1),(98,1)}
        48:{1,2,4,7}:{(29,1),(30,1),(66,1),(68,1)}
        49:{1,2,4,5}:{(30,1),(31,1),(32,1),(36,1),(67,1),(70,1)}
        50:{2,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(102,1)}
        51:{2,4,6}:{(31,1),(34,1),(38,1),(72,1),(109,1)}
        52:{1,4,5,7}:{(32,1),(33,1),(39,1),(73,1),(74,1),(103,1)}
        53:{1,4,6}:{(32,1),(34,1),(40,1),(74,1),(109,1)}
        54:{3,4,6}:{(33,1),(42,1),(71,1),(73,1),(75,1),(81,1),(98,1),(109,1)}
        55:{3,4,7}:{(34,1),(43,1),(72,1),(74,1),(99,1)}
        56:{1,2,5,7}:{(35,1),(36,1),(37,1),(39,1),(77,1)}
        57:{1,2,5,6}:{(36,1),(38,1),(40,1),(70,1),(77,1),(78,1)}
        58:{2,3,6}:{(37,1),(42,1),(71,1),(77,1),(98,1)}
        59:{2,3,5,7}:{(38,1),(43,1),(72,1),(78,1),(79,1),(99,1),(102,1),(110,1)}
        60:{1,3,6}:{(39,1),(42,1),(73,1),(77,1),(98,1)}
        61:{1,3,5,7}:{(40,1),(43,1),(74,1),(78,1),(80,1),(99,1),(103,1),(110,1)}
        62:{4,5,7}:{(41,1),(81,1)}
        63:{3,5,6}:{(41,1),(42,1),(44,1),(81,1)}
        64:{3,6,7}:{(42,1),(43,1),(45,1)}
        65:{1,2,5,6,7}:{(44,1),(45,1),(82,1),(102,1),(103,1)}
        66:{3,4,7}:{(46,1),(48,1),(83,1),(84,1),(111,1)}
        67:{3,5}:{(46,1),(49,1),(85,1)}
        68:{1,2,4,6}:{(47,1),(48,1),(83,1),(86,1)}
        69:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(52,1),(56,1),(84,1),(86,1),(87,1),(88,1),(105,1),(108,1),(111,1)}
        70:{1,2,4,6}:{(49,1),(51,1),(53,1),(57,1),(85,1),(88,1)}
        71:{2,4,6}:{(50,1),(54,1),(58,1),(89,1)}
        72:{2,4,7}:{(51,1),(55,1),(59,1),(111,1)}
        73:{1,4,6}:{(52,1),(54,1),(60,1),(91,1)}
        74:{1,4,7}:{(53,1),(55,1),(61,1),(111,1)}
        75:{3,5,6}:{(54,1),(89,1),(91,1),(93,1),(94,1)}
        76:{3,4,6,7}:{(54,1),(55,1),(64,1),(90,1),(92,1),(94,1),(96,1),(107,1),(111,1)}
        77:{1,2,6}:{(56,1),(58,1),(60,1)}
        78:{1,2,5,7}:{(57,1),(59,1),(61,1),(88,1),(95,1)}
        79:{2,3,6,7}:{(58,1),(59,1),(64,1),(90,1),(95,1),(107,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(64,1),(92,1),(95,1),(107,1)}
        81:{4,6}:{(62,1),(63,1)}
        82:{3,5,6,7}:{(63,1),(64,1),(65,1),(94,1),(96,1)}
        83:{3,4,6}:{(66,1),(68,1),(97,1),(98,1),(109,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(97,1),(98,1),(99,1)}
        85:{3,6}:{(67,1),(70,1),(99,1)}
        86:{1,2,5}:{(68,1),(97,1)}
        87:{1,2,4,6}:{(69,1),(71,1),(73,1),(77,1),(98,1),(100,1),(109,1)}
        88:{1,2,4,7}:{(70,1),(72,1),(74,1),(78,1),(99,1)}
        89:{2,5,6}:{(71,1),(75,1),(102,1)}
        90:{2,4,6,7}:{(71,1),(72,1),(76,1),(79,1),(102,1)}
        91:{1,5,6}:{(73,1),(75,1),(103,1)}
        92:{1,4,6,7}:{(73,1),(74,1),(76,1),(80,1),(103,1)}
        93:{4,5,6}:{(75,1),(81,1),(104,1),(109,1)}
        94:{3,5,7}:{(75,1),(76,1),(102,1),(103,1),(104,1)}
        95:{1,2,6,7}:{(77,1),(78,1),(79,1),(80,1)}
        96:{4,6,7}:{(81,1),(82,1),(104,1)}
        97:{3,5}:{(83,1),(86,1),(105,1)}
        98:{3,6}:{(84,1),(87,1)}
        99:{3,7}:{(85,1),(88,1)}
       100:{1,2,5,6}:{(86,1),(87,1),(89,1),(91,1),(106,1),(108,1)}
       101:{1,2,4,6,7}:{(87,1),(88,1),(90,1),(92,1),(95,1),(107,1),(108,1),(111,1)}
       102:{2,5,7}:{(89,1),(90,1),(94,1)}
       103:{1,5,7}:{(91,1),(92,1),(94,1)}
       104:{4,5,7}:{(93,1),(94,1),(96,1),(111,1)}
       105:{4,5}:{(97,1),(109,1)}
       106:{3,5,6}:{(97,1),(98,1),(100,1),(109,1),(110,1)}
       107:{3,6,7}:{(98,1),(99,1),(101,1),(110,1)}
       108:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1559 :   0:{1,2,3,6,7}:{(2,1),(3,1),(38,1),(75,1),(76,1),(77,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(11,1),(15,1),(38,1),(43,1),(44,1),(45,1),(46,1),(77,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(84,1),(85,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(23,1),(59,1),(60,1),(61,1),(62,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(53,1),(54,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(13,1),(32,1),(38,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(11,1),(94,1),(95,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(13,1),(71,1),(72,1)}
         8:{1,2,4,5}:{(4,1),(15,1),(35,1),(36,1),(45,1)}
         9:{3,4,6}:{(4,1),(13,1),(15,1),(38,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,5,6}:{(6,1),(18,1),(22,1),(82,1),(83,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(22,1),(23,1),(50,1),(51,1),(59,1)}
        13:{3,4,7}:{(7,1),(9,1),(23,1)}
        14:{1,2,4,5,6}:{(8,1),(22,1),(26,1),(27,1),(47,1),(53,1),(54,1),(63,1),(82,1),(83,1)}
        15:{3,5}:{(8,1),(9,1)}
        16:{1,3,4,6}:{(9,1),(24,1),(28,1),(30,1),(53,1),(57,1),(89,1),(90,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(25,1),(29,1),(30,1),(54,1),(58,1),(89,1),(90,1),(105,1)}
        18:{3,5,6}:{(10,1),(11,1),(32,1),(38,1)}
        19:{4,5,7}:{(10,1),(32,1)}
        20:{3,4,5}:{(15,1),(34,1),(35,1),(36,1),(74,1)}
        21:{1,2,5,6,7}:{(11,1),(31,1),(37,1),(94,1),(95,1)}
        22:{1,2,4,6}:{(11,1),(12,1),(32,1),(38,1),(68,1),(69,1),(77,1)}
        23:{3,5,7}:{(12,1),(13,1),(15,1),(38,1)}
        24:{1,3,4,7}:{(13,1),(16,1),(39,1),(41,1),(71,1),(99,1),(100,1)}
        25:{2,3,4,7}:{(13,1),(17,1),(40,1),(41,1),(72,1),(99,1),(100,1)}
        26:{1,2,4,5,7}:{(14,1),(37,1),(42,1),(65,1),(71,1),(72,1),(79,1),(94,1),(95,1)}
        27:{3,5,6}:{(14,1),(15,1),(34,1),(38,1),(42,1)}
        28:{1,3,5}:{(15,1),(16,1),(35,1),(45,1),(74,1),(109,1)}
        29:{2,3,5}:{(15,1),(17,1),(36,1),(45,1),(74,1),(109,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(41,1),(45,1),(46,1),(77,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(48,1),(56,1),(81,1)}
        32:{4,6}:{(18,1),(19,1)}
        33:{3,4,5,7}:{(19,1),(20,1),(23,1),(49,1),(50,1),(51,1),(52,1),(81,1),(87,1),(110,1),(111,1)}
        34:{3,4,6}:{(20,1),(27,1),(52,1),(53,1),(54,1),(89,1)}
        35:{1,4,5}:{(20,1),(28,1),(53,1),(111,1)}
        36:{2,4,5}:{(20,1),(29,1),(54,1),(111,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(26,1),(48,1),(56,1),(84,1),(85,1),(91,1)}
        38:{3,6}:{(22,1),(23,1)}
        39:{1,3,5,7}:{(23,1),(24,1),(28,1),(50,1),(57,1),(59,1),(87,1)}
        40:{2,3,5,7}:{(23,1),(25,1),(29,1),(51,1),(58,1),(59,1),(87,1)}
        41:{1,2,4,7}:{(24,1),(25,1),(30,1),(59,1),(60,1)}
        42:{3,5,7}:{(26,1),(27,1),(52,1),(56,1)}
        43:{1,3,5,6}:{(27,1),(28,1),(53,1),(57,1),(61,1),(63,1),(82,1),(89,1),(103,1)}
        44:{2,3,5,6}:{(27,1),(29,1),(54,1),(58,1),(62,1),(63,1),(83,1),(89,1),(103,1)}
        45:{1,2,5}:{(28,1),(29,1),(30,1)}
        46:{1,2,3,6}:{(30,1),(60,1),(64,1),(89,1)}
        47:{4,5,6}:{(32,1),(65,1),(66,1),(108,1)}
        48:{4,6,7}:{(31,1),(32,1),(65,1)}
        49:{3,4,6}:{(32,1),(33,1),(38,1),(66,1),(68,1),(69,1),(98,1),(108,1)}
        50:{1,4,5,7}:{(33,1),(35,1),(39,1),(68,1),(71,1),(94,1)}
        51:{2,4,5,7}:{(33,1),(36,1),(40,1),(69,1),(72,1),(95,1)}
        52:{3,4,7}:{(34,1),(42,1),(71,1),(72,1),(100,1)}
        53:{1,4,6}:{(34,1),(35,1),(43,1),(71,1),(108,1)}
        54:{2,4,6}:{(34,1),(36,1),(44,1),(72,1),(108,1)}
        55:{1,2,4,5}:{(35,1),(36,1),(45,1),(73,1),(74,1),(80,1)}
        56:{3,6,7}:{(37,1),(38,1),(42,1)}
        57:{1,3,6}:{(38,1),(39,1),(68,1),(77,1),(98,1)}
        58:{2,3,6}:{(38,1),(40,1),(69,1),(77,1),(98,1)}
        59:{1,2,5,7}:{(39,1),(40,1),(41,1),(45,1),(77,1)}
        60:{1,2,3,7}:{(41,1),(46,1),(100,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(71,1),(75,1),(79,1),(94,1),(100,1),(107,1)}
        62:{2,3,5,7}:{(42,1),(44,1),(72,1),(76,1),(79,1),(95,1),(100,1),(107,1)}
        63:{1,2,5,6}:{(43,1),(44,1),(45,1),(73,1),(77,1),(79,1)}
        64:{1,2,3,5}:{(45,1),(46,1),(74,1),(80,1)}
        65:{4,5,7}:{(47,1),(48,1),(81,1),(110,1)}
        66:{3,5,6}:{(47,1),(49,1),(81,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(48,1),(49,1),(52,1),(56,1),(81,1),(84,1),(85,1),(104,1),(110,1)}
        68:{1,4,6}:{(49,1),(50,1),(57,1),(82,1)}
        69:{2,4,6}:{(49,1),(51,1),(58,1),(83,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(55,1),(59,1),(86,1),(87,1),(88,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        71:{1,4,7}:{(52,1),(53,1),(61,1),(110,1)}
        72:{2,4,7}:{(52,1),(54,1),(62,1),(110,1)}
        73:{1,2,4,6}:{(53,1),(54,1),(55,1),(63,1),(88,1),(89,1)}
        74:{3,5}:{(55,1),(89,1),(90,1)}
        75:{1,3,6,7}:{(56,1),(57,1),(61,1),(84,1),(91,1),(104,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(62,1),(85,1),(91,1),(104,1)}
        77:{1,2,6}:{(57,1),(58,1),(59,1)}
        78:{1,2,3,5,7}:{(59,1),(60,1),(64,1),(87,1),(92,1),(93,1),(106,1)}
        79:{1,2,5,7}:{(61,1),(62,1),(63,1),(88,1),(91,1)}
        80:{1,2,4}:{(64,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(67,1),(94,1),(95,1)}
        82:{1,5,6}:{(66,1),(68,1),(94,1)}
        83:{2,5,6}:{(66,1),(69,1),(95,1)}
        84:{1,4,6,7}:{(67,1),(68,1),(71,1),(75,1),(94,1)}
        85:{2,4,6,7}:{(67,1),(69,1),(72,1),(76,1),(95,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(96,1),(98,1),(108,1)}
        87:{3,5,7}:{(70,1),(74,1),(98,1),(99,1),(100,1),(109,1)}
        88:{1,2,4,7}:{(71,1),(72,1),(73,1),(79,1),(100,1)}
        89:{3,6}:{(73,1),(74,1),(100,1)}
        90:{3,4}:{(74,1),(80,1)}
        91:{1,2,6,7}:{(75,1),(76,1),(77,1),(79,1)}
        92:{1,2,3,6}:{(77,1),(78,1),(98,1),(101,1)}
        93:{1,2,4,7}:{(78,1),(80,1),(99,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(84,1)}
        95:{2,5,7}:{(81,1),(83,1),(85,1)}
        96:{1,2,5,6}:{(82,1),(83,1),(86,1),(102,1),(103,1),(106,1)}
        97:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(102,1),(104,1),(110,1)}
        98:{3,6}:{(86,1),(87,1)}
        99:{3,4,7}:{(87,1),(90,1),(93,1),(105,1),(110,1)}
       100:{3,7}:{(88,1),(89,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(97,1),(107,1)}
       103:{3,5,6}:{(96,1),(98,1),(107,1),(108,1),(109,1)}
       104:{3,6,7}:{(97,1),(98,1),(100,1),(107,1)}
       105:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(103,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1560 :   0:{3,4,5,6}:{(3,1),(4,1),(5,1),(29,1),(74,1),(114,1),(140,1)}
         1:{2,3,4,5}:{(6,1),(7,1),(40,1),(74,1),(82,1)}
         2:{1,3,4,5}:{(8,1),(9,1),(37,1),(74,1),(80,1)}
         3:{1,4,5,6}:{(0,1),(12,1),(14,1),(90,1),(126,1)}
         4:{2,4,5,6}:{(0,1),(11,1),(15,1),(93,1),(128,1)}
         5:{3,4,5,7}:{(0,1),(14,1),(15,1),(16,1),(52,1),(131,1)}
         6:{2,3,4,6}:{(1,1),(11,1),(17,1),(18,1),(51,1)}
         7:{1,2,4,5}:{(1,1),(17,1),(19,1),(58,1),(90,1),(99,1)}
         8:{1,3,4,6}:{(2,1),(12,1),(20,1),(21,1),(51,1)}
         9:{1,2,4,5}:{(2,1),(20,1),(22,1),(58,1),(93,1),(99,1)}
        10:{1,2,3,5,6}:{(23,1),(24,1),(45,1),(48,1),(57,1),(63,1),(99,1),(103,1),(105,1),(132,1)}
        11:{2,3,5,6}:{(4,1),(6,1),(25,1),(26,1),(29,1),(82,1),(119,1)}
        12:{1,3,5,6}:{(3,1),(8,1),(27,1),(28,1),(29,1),(80,1),(118,1)}
        13:{1,2,4,5,6}:{(3,1),(4,1),(25,1),(27,1),(29,1),(30,1),(42,1),(68,1),(71,1),(86,1),(107,1),(136,1),(138,1),(139,1),(140,1)}
        14:{1,4,5,7}:{(3,1),(5,1),(28,1),(31,1)}
        15:{2,4,5,7}:{(4,1),(5,1),(26,1),(32,1)}
        16:{3,4,6,7}:{(5,1),(31,1),(32,1),(33,1),(76,1),(114,1),(116,1)}
        17:{1,2,4,6}:{(6,1),(7,1),(25,1),(35,1),(36,1),(68,1)}
        18:{2,3,4,7}:{(6,1),(26,1),(36,1),(75,1)}
        19:{1,3,5}:{(7,1),(35,1),(37,1)}
        20:{1,2,4,6}:{(8,1),(9,1),(27,1),(38,1),(39,1),(71,1)}
        21:{1,3,4,7}:{(8,1),(28,1),(39,1),(75,1)}
        22:{2,3,5}:{(9,1),(38,1),(40,1)}
        23:{1,2,4,6}:{(10,1),(41,1),(42,1),(43,1),(68,1),(71,1)}
        24:{1,2,3,5,7}:{(10,1),(43,1),(44,1),(69,1),(72,1),(79,1),(84,1),(87,1),(117,1)}
        25:{1,2,5,6}:{(11,1),(17,1),(45,1),(46,1),(99,1),(132,1)}
        26:{2,3,5,7}:{(11,1),(15,1),(18,1),(46,1),(47,1),(52,1)}
        27:{1,2,5,6}:{(12,1),(20,1),(48,1),(49,1),(99,1),(132,1)}
        28:{1,3,5,7}:{(12,1),(14,1),(21,1),(49,1),(50,1),(52,1)}
        29:{3,5,6}:{(13,1),(51,1),(52,1),(63,1),(103,1),(122,1),(141,1)}
        30:{1,2,4,5,7}:{(13,1),(14,1),(15,1),(46,1),(49,1),(52,1),(53,1),(91,1),(94,1),(127,1),(129,1),(131,1)}
        31:{1,4,6,7}:{(14,1),(16,1),(50,1),(54,1),(126,1)}
        32:{2,4,6,7}:{(15,1),(16,1),(47,1),(55,1),(128,1)}
        33:{3,5,6,7}:{(16,1),(54,1),(55,1),(56,1),(130,1)}
        34:{1,2,3,5}:{(19,1),(22,1),(57,1),(58,1),(99,1)}
        35:{1,3,6}:{(17,1),(19,1),(60,1)}
        36:{1,2,4,7}:{(17,1),(18,1),(46,1),(60,1),(91,1)}
        37:{1,3,4}:{(19,1),(58,1)}
        38:{2,3,6}:{(20,1),(22,1),(62,1)}
        39:{1,2,4,7}:{(20,1),(21,1),(49,1),(62,1),(94,1)}
        40:{2,3,4}:{(22,1),(58,1)}
        41:{3,4,6}:{(23,1),(63,1),(64,1),(103,1)}
        42:{1,2,4,5}:{(23,1),(63,1),(90,1),(93,1),(99,1)}
        43:{1,2,4,7}:{(23,1),(24,1),(64,1),(91,1),(94,1)}
        44:{1,2,3,6,7}:{(24,1),(66,1),(92,1),(95,1),(103,1),(132,1)}
        45:{1,3,5,6}:{(25,1),(29,1),(35,1),(68,1),(69,1),(80,1),(118,1),(138,1)}
        46:{1,2,5,7}:{(25,1),(26,1),(36,1),(69,1),(70,1)}
        47:{2,3,6,7}:{(26,1),(32,1),(70,1),(76,1),(119,1)}
        48:{2,3,5,6}:{(27,1),(29,1),(38,1),(71,1),(72,1),(82,1),(119,1),(139,1)}
        49:{1,2,5,7}:{(27,1),(28,1),(39,1),(72,1),(73,1)}
        50:{1,3,6,7}:{(28,1),(31,1),(73,1),(76,1),(118,1)}
        51:{3,4,6}:{(29,1),(68,1),(71,1),(74,1),(75,1)}
        52:{3,5,7}:{(29,1),(30,1),(75,1),(76,1)}
        53:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(70,1),(73,1),(76,1),(77,1),(86,1),(111,1),(113,1),(116,1),(136,1)}
        54:{1,5,6,7}:{(31,1),(33,1),(138,1)}
        55:{2,5,6,7}:{(32,1),(33,1),(139,1)}
        56:{4,5,6,7}:{(33,1),(116,1),(140,1)}
        57:{1,2,3,6}:{(34,1),(35,1),(38,1),(78,1),(79,1)}
        58:{1,2,4}:{(34,1),(37,1),(40,1)}
        59:{1,3,4,6}:{(35,1),(37,1),(41,1),(68,1),(78,1),(80,1),(81,1),(106,1),(118,1)}
        60:{1,3,7}:{(35,1),(36,1)}
        61:{2,3,4,6}:{(38,1),(40,1),(41,1),(71,1),(78,1),(82,1),(83,1),(106,1),(119,1)}
        62:{2,3,7}:{(38,1),(39,1)}
        63:{3,5}:{(41,1),(42,1)}
        64:{3,4,7}:{(41,1),(43,1),(84,1)}
        65:{1,2,4,5,7}:{(42,1),(43,1),(84,1),(86,1),(87,1),(110,1),(112,1),(117,1),(121,1)}
        66:{1,2,4,6,7}:{(43,1),(44,1),(85,1),(86,1),(87,1),(111,1),(113,1)}
        67:{1,2,3,5,6}:{(45,1),(48,1),(57,1),(88,1),(89,1),(99,1),(122,1),(132,1),(141,1),(143,1)}
        68:{1,4,6}:{(45,1),(51,1),(90,1),(91,1)}
        69:{1,3,5,7}:{(45,1),(46,1),(52,1),(60,1),(91,1),(92,1),(127,1)}
        70:{1,2,6,7}:{(46,1),(47,1),(92,1),(132,1)}
        71:{2,4,6}:{(48,1),(51,1),(93,1),(94,1)}
        72:{2,3,5,7}:{(48,1),(49,1),(52,1),(62,1),(94,1),(95,1),(129,1)}
        73:{1,2,6,7}:{(49,1),(50,1),(95,1),(132,1)}
        74:{3,4,5}:{(51,1),(63,1),(90,1),(93,1),(122,1)}
        75:{3,4,7}:{(51,1),(52,1),(91,1),(94,1)}
        76:{3,6,7}:{(52,1),(53,1),(103,1),(141,1)}
        77:{1,2,5,6,7}:{(53,1),(54,1),(55,1),(98,1),(105,1),(127,1),(129,1),(143,1)}
        78:{1,2,4,6}:{(57,1),(58,1),(59,1),(61,1),(99,1),(100,1),(132,1)}
        79:{1,2,3,7}:{(57,1),(60,1),(62,1),(100,1)}
        80:{1,3,5}:{(59,1),(63,1),(90,1),(99,1),(122,1)}
        81:{1,3,4,7}:{(59,1),(60,1),(64,1),(91,1),(100,1),(101,1),(123,1)}
        82:{2,3,5}:{(61,1),(63,1),(93,1),(99,1),(122,1)}
        83:{2,3,4,7}:{(61,1),(62,1),(64,1),(94,1),(100,1),(102,1),(123,1)}
        84:{3,5,7}:{(63,1),(64,1),(65,1),(103,1)}
        85:{3,4,6,7}:{(64,1),(66,1),(103,1),(104,1),(133,1)}
        86:{1,2,4,6}:{(65,1),(103,1),(105,1),(126,1),(128,1),(132,1),(133,1)}
        87:{1,2,5,7}:{(66,1),(104,1),(105,1),(127,1),(129,1)}
        88:{1,2,4,6}:{(67,1),(68,1),(71,1),(106,1),(107,1),(108,1)}
        89:{1,2,3,5,7}:{(67,1),(69,1),(72,1),(79,1),(108,1),(109,1),(117,1),(134,1),(137,1)}
        90:{1,4,5}:{(68,1),(74,1),(80,1)}
        91:{1,4,7}:{(68,1),(69,1),(75,1)}
        92:{1,3,6,7}:{(69,1),(70,1),(76,1),(111,1),(118,1)}
        93:{2,4,5}:{(71,1),(74,1),(82,1)}
        94:{2,4,7}:{(71,1),(72,1),(75,1)}
        95:{2,3,6,7}:{(72,1),(73,1),(76,1),(113,1),(119,1)}
        96:{3,4,5,7}:{(74,1),(75,1),(84,1),(110,1),(112,1),(114,1),(115,1),(121,1),(134,1),(145,1)}
        97:{3,4,6,7}:{(75,1),(76,1),(111,1),(113,1),(114,1),(115,1),(116,1)}
        98:{3,5,6,7}:{(76,1),(77,1),(115,1),(116,1),(120,1),(144,1)}
        99:{1,2,5}:{(78,1),(80,1),(82,1)}
       100:{1,2,4,7}:{(78,1),(79,1),(81,1),(83,1),(117,1)}
       101:{1,3,5,7}:{(80,1),(81,1),(84,1),(110,1),(117,1),(118,1),(134,1)}
       102:{2,3,5,7}:{(82,1),(83,1),(84,1),(112,1),(117,1),(119,1),(134,1)}
       103:{3,6}:{(84,1),(86,1)}
       104:{3,5,7}:{(85,1),(87,1),(120,1),(121,1)}
       105:{1,2,5,6}:{(86,1),(87,1),(120,1),(138,1),(139,1)}
       106:{3,4,6}:{(88,1),(122,1),(123,1),(141,1)}
       107:{1,2,4,5}:{(88,1),(90,1),(93,1),(99,1),(122,1)}
       108:{1,2,4,7}:{(88,1),(89,1),(91,1),(94,1),(123,1)}
       109:{1,2,3,6,7}:{(89,1),(92,1),(95,1),(125,1),(132,1),(141,1)}
       110:{1,4,5,7}:{(90,1),(91,1),(96,1),(101,1),(126,1),(127,1)}
       111:{1,4,6,7}:{(91,1),(92,1),(97,1),(126,1),(127,1)}
       112:{2,4,5,7}:{(93,1),(94,1),(96,1),(102,1),(128,1),(129,1)}
       113:{2,4,6,7}:{(94,1),(95,1),(97,1),(128,1),(129,1)}
       114:{3,4,6}:{(96,1),(103,1),(126,1),(128,1),(130,1),(133,1),(141,1),(146,1)}
       115:{3,5,7}:{(97,1),(127,1),(129,1),(130,1),(131,1)}
       116:{4,6,7}:{(98,1),(131,1),(133,1),(146,1)}
       117:{1,2,5,7}:{(99,1),(100,1),(101,1),(102,1),(132,1)}
       118:{1,3,6}:{(101,1),(103,1),(126,1),(132,1),(141,1)}
       119:{2,3,6}:{(102,1),(103,1),(128,1),(132,1),(141,1)}
       120:{3,5,6}:{(103,1),(104,1),(105,1),(133,1)}
       121:{4,5,7}:{(104,1),(133,1)}
       122:{3,5}:{(106,1),(107,1)}
       123:{3,4,7}:{(106,1),(108,1),(134,1)}
       124:{1,2,4,5,7}:{(107,1),(108,1),(110,1),(112,1),(117,1),(134,1),(136,1),(137,1),(145,1)}
       125:{1,2,4,6,7}:{(108,1),(109,1),(111,1),(113,1),(135,1),(136,1),(137,1)}
       126:{1,4,6}:{(110,1),(114,1),(118,1),(138,1)}
       127:{1,5,7}:{(111,1),(115,1),(138,1)}
       128:{2,4,6}:{(112,1),(114,1),(119,1),(139,1)}
       129:{2,5,7}:{(113,1),(115,1),(139,1)}
       130:{3,5,6}:{(114,1),(115,1),(138,1),(139,1),(140,1)}
       131:{4,5,7}:{(115,1),(116,1),(140,1)}
       132:{1,2,6}:{(117,1),(118,1),(119,1)}
       133:{4,6}:{(120,1),(121,1)}
       134:{3,5,7}:{(122,1),(123,1),(124,1),(141,1)}
       135:{3,4,6,7}:{(123,1),(125,1),(141,1),(142,1),(146,1)}
       136:{1,2,4,6}:{(124,1),(126,1),(128,1),(132,1),(141,1),(143,1),(146,1)}
       137:{1,2,5,7}:{(125,1),(127,1),(129,1),(142,1),(143,1)}
       138:{1,5,6}:{(126,1),(127,1),(130,1)}
       139:{2,5,6}:{(128,1),(129,1),(130,1)}
       140:{4,5,6}:{(130,1),(131,1),(133,1),(146,1)}
       141:{3,6}:{(134,1),(136,1)}
       142:{3,5,7}:{(135,1),(137,1),(144,1),(145,1)}
       143:{1,2,5,6}:{(136,1),(137,1),(138,1),(139,1),(144,1)}
       144:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       145:{4,5,7}:{(142,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

1561 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(20,1),(51,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(32,1),(66,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(46,1),(81,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(18,1),(23,1),(45,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(19,1),(23,1),(44,1),(83,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(61,1),(101,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(60,1),(100,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(30,1),(31,1),(103,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(43,1),(81,1),(154,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(21,1),(23,1),(39,1),(46,1)}
        13:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(23,1),(37,1),(46,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(23,1),(122,1)}
        15:{1,2,3,5,6,7}:{(8,1),(23,1),(24,1),(44,1),(45,1),(47,1),(50,1),(74,1),(82,1),(83,1),(84,1),(125,1),(157,1),(169,1),(171,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(27,1),(101,1),(162,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(28,1),(100,1),(158,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(27,1),(30,1),(32,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(28,1),(31,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(29,1),(30,1),(31,1),(32,1),(60,1),(61,1)}
        21:{1,2,4,6,7}:{(12,1),(30,1),(33,1),(54,1),(60,1)}
        22:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(52,1),(61,1)}
        23:{3,6,7}:{(14,1),(32,1),(142,1)}
        24:{1,2,4,6,7}:{(15,1),(35,1),(36,1),(60,1),(61,1),(94,1),(100,1),(101,1),(173,1),(174,1)}
        25:{2,3,4,5,7}:{(19,1),(37,1),(38,1),(46,1),(77,1),(79,1),(108,1),(121,1),(144,1)}
        26:{1,3,4,5,7}:{(18,1),(39,1),(40,1),(46,1),(77,1),(80,1),(113,1),(121,1),(149,1)}
        27:{1,3,5,6}:{(16,1),(18,1),(39,1),(41,1),(43,1),(149,1)}
        28:{2,3,5,6}:{(17,1),(19,1),(37,1),(42,1),(43,1),(144,1)}
        29:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(41,1),(42,1),(43,1),(75,1),(76,1),(117,1),(122,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(41,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(42,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(43,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(71,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(68,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(50,1),(81,1),(116,1),(157,1),(172,1)}
        36:{1,2,4,5,7}:{(24,1),(50,1),(51,1),(79,1),(80,1),(82,1),(117,1)}
        37:{2,3,4,6}:{(25,1),(28,1),(52,1),(58,1),(100,1),(142,1)}
        38:{1,2,4,5,7}:{(25,1),(31,1),(52,1),(53,1),(61,1),(88,1),(96,1),(127,1)}
        39:{1,3,4,6}:{(26,1),(27,1),(54,1),(58,1),(101,1),(142,1)}
        40:{1,2,4,5,7}:{(26,1),(30,1),(54,1),(55,1),(60,1),(92,1),(95,1),(133,1)}
        41:{1,2,5,6}:{(27,1),(30,1),(54,1),(56,1),(133,1)}
        42:{1,2,5,6}:{(28,1),(31,1),(52,1),(57,1),(127,1)}
        43:{3,5,6}:{(29,1),(32,1),(58,1),(138,1),(142,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(56,1),(60,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(57,1),(61,1)}
        46:{3,4,7}:{(32,1),(58,1),(60,1),(61,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(59,1),(63,1),(86,1),(90,1),(142,1),(161,1),(165,1)}
        48:{2,3,4,6,7}:{(33,1),(35,1),(60,1),(63,1),(64,1),(91,1),(98,1),(100,1),(126,1),(142,1),(161,1),(173,1)}
        49:{1,3,4,6,7}:{(34,1),(35,1),(61,1),(63,1),(65,1),(87,1),(98,1),(101,1),(132,1),(142,1),(165,1),(174,1)}
        50:{3,5,7}:{(35,1),(36,1),(66,1),(138,1)}
        51:{1,2,4,5,6}:{(36,1),(66,1),(100,1),(101,1),(103,1)}
        52:{1,2,4,6}:{(37,1),(38,1),(42,1),(68,1),(76,1)}
        53:{1,3,5,7}:{(38,1),(68,1),(70,1),(107,1),(121,1)}
        54:{1,2,4,6}:{(39,1),(40,1),(41,1),(71,1),(75,1)}
        55:{2,3,5,7}:{(40,1),(71,1),(73,1),(112,1),(121,1)}
        56:{2,3,5,6}:{(41,1),(43,1),(44,1),(71,1),(75,1),(112,1)}
        57:{1,3,5,6}:{(42,1),(43,1),(45,1),(68,1),(76,1),(107,1)}
        58:{3,4,6}:{(43,1),(46,1),(75,1),(76,1),(77,1)}
        59:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(74,1),(78,1),(82,1),(121,1),(169,1),(171,1)}
        60:{2,4,7}:{(44,1),(46,1),(75,1)}
        61:{1,4,7}:{(45,1),(46,1),(76,1)}
        62:{3,4,5,7}:{(46,1),(50,1),(77,1),(79,1),(80,1),(81,1),(121,1),(154,1),(172,1)}
        63:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(78,1),(82,1),(106,1),(111,1),(122,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(79,1),(82,1),(83,1),(112,1),(121,1),(144,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(80,1),(82,1),(84,1),(107,1),(121,1),(149,1)}
        66:{3,5,6}:{(50,1),(51,1),(81,1)}
        67:{1,2,4,5,6,7}:{(51,1),(85,1),(123,1),(124,1),(125,1),(156,1)}
        68:{1,3,6}:{(52,1),(53,1),(142,1)}
        69:{1,2,3,5,7}:{(53,1),(86,1),(88,1),(127,1),(129,1)}
        70:{1,3,4,7}:{(53,1),(61,1),(87,1),(88,1),(98,1)}
        71:{2,3,6}:{(54,1),(55,1),(142,1)}
        72:{1,2,3,5,7}:{(55,1),(90,1),(92,1),(133,1),(135,1)}
        73:{2,3,4,7}:{(55,1),(60,1),(91,1),(92,1),(98,1)}
        74:{1,2,3,5,6}:{(56,1),(57,1),(59,1),(86,1),(90,1),(94,1),(103,1),(127,1),(133,1),(138,1),(142,1),(159,1),(163,1)}
        75:{2,4,6}:{(56,1),(58,1),(60,1),(95,1)}
        76:{1,4,6}:{(57,1),(58,1),(61,1),(96,1)}
        77:{3,4,5}:{(58,1),(95,1),(96,1),(138,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(61,1),(94,1),(98,1),(173,1),(174,1)}
        79:{2,4,5,7}:{(60,1),(62,1),(64,1),(95,1),(100,1),(158,1),(173,1)}
        80:{1,4,5,7}:{(61,1),(62,1),(65,1),(96,1),(101,1),(162,1),(174,1)}
        81:{3,4,6}:{(62,1),(66,1),(100,1),(101,1),(142,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(65,1),(103,1),(127,1),(133,1)}
        83:{2,3,5,6}:{(64,1),(66,1),(100,1),(103,1),(142,1)}
        84:{1,3,5,6}:{(65,1),(66,1),(101,1),(103,1),(142,1)}
        85:{3,5,6,7}:{(66,1),(67,1),(102,1),(167,1)}
        86:{1,2,3,6}:{(68,1),(69,1),(106,1),(147,1)}
        87:{1,3,4,6}:{(68,1),(70,1),(76,1),(106,1),(107,1),(116,1)}
        88:{1,2,4,7}:{(69,1),(70,1),(106,1),(108,1)}
        89:{1,3,4,5,7}:{(70,1),(80,1),(107,1),(109,1),(110,1),(121,1),(146,1),(154,1),(172,1)}
        90:{1,2,3,6}:{(71,1),(72,1),(111,1),(152,1)}
        91:{2,3,4,6}:{(71,1),(73,1),(75,1),(111,1),(112,1),(116,1)}
        92:{1,2,4,7}:{(72,1),(73,1),(111,1),(113,1)}
        93:{2,3,4,5,7}:{(73,1),(79,1),(112,1),(114,1),(115,1),(121,1),(151,1),(154,1),(172,1)}
        94:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(116,1),(117,1),(168,1),(170,1)}
        95:{2,4,5}:{(75,1),(77,1),(112,1)}
        96:{1,4,5}:{(76,1),(77,1),(107,1)}
        97:{3,4,5,6}:{(77,1),(81,1),(118,1),(119,1),(120,1),(155,1)}
        98:{3,4,7}:{(78,1),(116,1),(121,1)}
        99:{1,2,4,5,7}:{(78,1),(79,1),(80,1),(82,1),(117,1),(121,1),(122,1)}
       100:{2,4,6}:{(79,1),(81,1),(83,1)}
       101:{1,4,6}:{(80,1),(81,1),(84,1)}
       102:{3,4,6,7}:{(81,1),(85,1),(120,1),(123,1),(124,1),(157,1),(172,1)}
       103:{1,2,5,6}:{(82,1),(83,1),(84,1),(122,1)}
       104:{2,3,5,6,7}:{(83,1),(85,1),(123,1),(125,1),(151,1),(157,1),(169,1)}
       105:{1,3,5,6,7}:{(84,1),(85,1),(124,1),(125,1),(146,1),(157,1),(171,1)}
       106:{1,2,4,6}:{(86,1),(87,1),(88,1),(126,1),(127,1)}
       107:{1,3,5}:{(87,1),(96,1),(127,1),(138,1)}
       108:{2,3,4,7}:{(88,1),(98,1),(126,1),(129,1),(173,1)}
       109:{1,2,4,5,7}:{(88,1),(89,1),(127,1),(129,1),(130,1),(158,1),(160,1),(173,1)}
       110:{1,3,4,6}:{(89,1),(101,1),(128,1),(130,1),(142,1),(166,1)}
       111:{1,2,4,6}:{(90,1),(91,1),(92,1),(132,1),(133,1)}
       112:{2,3,5}:{(91,1),(95,1),(133,1),(138,1)}
       113:{1,3,4,7}:{(92,1),(98,1),(132,1),(135,1),(174,1)}
       114:{1,2,4,5,7}:{(92,1),(93,1),(133,1),(135,1),(136,1),(162,1),(164,1),(174,1)}
       115:{2,3,4,6}:{(93,1),(100,1),(134,1),(136,1),(142,1),(166,1)}
       116:{3,4,6}:{(94,1),(98,1),(138,1),(142,1)}
       117:{1,2,4,5}:{(94,1),(95,1),(96,1),(127,1),(133,1),(138,1),(158,1),(162,1)}
       118:{2,4,5,6}:{(95,1),(97,1),(100,1),(134,1),(140,1)}
       119:{1,4,5,6}:{(96,1),(97,1),(101,1),(128,1),(141,1)}
       120:{3,4,5,7}:{(97,1),(102,1),(140,1),(141,1),(167,1)}
       121:{3,5,7}:{(98,1),(99,1),(138,1),(142,1)}
       122:{1,2,4,6}:{(99,1),(100,1),(101,1),(103,1),(142,1)}
       123:{2,4,6,7}:{(100,1),(102,1),(104,1),(140,1),(173,1)}
       124:{1,4,6,7}:{(101,1),(102,1),(105,1),(141,1),(174,1)}
       125:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(143,1),(160,1),(164,1)}
       126:{2,3,4,6}:{(106,1),(108,1),(116,1),(144,1),(147,1),(168,1)}
       127:{1,2,5}:{(106,1),(107,1),(144,1)}
       128:{1,3,5,6}:{(107,1),(110,1),(119,1),(145,1),(146,1),(155,1)}
       129:{2,3,5,7}:{(108,1),(109,1),(121,1),(144,1),(147,1)}
       130:{1,2,4,6}:{(109,1),(110,1),(145,1),(147,1),(168,1)}
       131:{1,3,4,6,7}:{(110,1),(124,1),(146,1),(148,1),(157,1),(172,1)}
       132:{1,3,4,6}:{(111,1),(113,1),(116,1),(149,1),(152,1),(170,1)}
       133:{1,2,5}:{(111,1),(112,1),(149,1)}
       134:{2,3,5,6}:{(112,1),(115,1),(118,1),(150,1),(151,1),(155,1)}
       135:{1,3,5,7}:{(113,1),(114,1),(121,1),(149,1),(152,1)}
       136:{1,2,4,6}:{(114,1),(115,1),(150,1),(152,1),(170,1)}
       137:{2,3,4,6,7}:{(115,1),(123,1),(151,1),(153,1),(157,1),(172,1)}
       138:{3,5}:{(116,1),(117,1)}
       139:{1,2,4,5,6}:{(117,1),(118,1),(119,1),(122,1),(145,1),(150,1),(155,1),(156,1),(168,1),(170,1)}
       140:{2,4,5,7}:{(118,1),(120,1),(123,1),(151,1)}
       141:{1,4,5,7}:{(119,1),(120,1),(124,1),(146,1)}
       142:{3,6}:{(121,1),(122,1)}
       143:{1,2,4,6,7}:{(122,1),(123,1),(124,1),(125,1),(156,1),(157,1)}
       144:{2,3,5}:{(126,1),(127,1),(138,1),(158,1)}
       145:{1,2,5,6}:{(127,1),(128,1),(130,1),(159,1),(160,1)}
       146:{1,3,5,7}:{(128,1),(131,1),(141,1),(160,1),(167,1)}
       147:{2,3,6}:{(129,1),(130,1),(142,1)}
       148:{1,2,4,6,7}:{(130,1),(131,1),(160,1),(161,1),(173,1)}
       149:{1,3,5}:{(132,1),(133,1),(138,1),(162,1)}
       150:{1,2,5,6}:{(133,1),(134,1),(136,1),(163,1),(164,1)}
       151:{2,3,5,7}:{(134,1),(137,1),(140,1),(164,1),(167,1)}
       152:{1,3,6}:{(135,1),(136,1),(142,1)}
       153:{1,2,4,6,7}:{(136,1),(137,1),(164,1),(165,1),(174,1)}
       154:{3,4,5}:{(138,1),(158,1),(162,1),(166,1)}
       155:{3,5,6}:{(138,1),(139,1),(142,1),(166,1),(167,1)}
       156:{1,2,4,5,7}:{(139,1),(140,1),(141,1),(143,1),(160,1),(164,1),(167,1),(173,1),(174,1)}
       157:{3,6,7}:{(142,1),(143,1),(167,1)}
       158:{2,4,5}:{(144,1),(154,1),(168,1)}
       159:{2,3,5,6}:{(144,1),(145,1),(147,1),(155,1),(168,1),(169,1)}
       160:{1,2,5,7}:{(145,1),(146,1),(148,1),(169,1)}
       161:{2,3,6,7}:{(147,1),(148,1),(157,1),(169,1)}
       162:{1,4,5}:{(149,1),(154,1),(170,1)}
       163:{1,3,5,6}:{(149,1),(150,1),(152,1),(155,1),(170,1),(171,1)}
       164:{1,2,5,7}:{(150,1),(151,1),(153,1),(171,1)}
       165:{1,3,6,7}:{(152,1),(153,1),(157,1),(171,1)}
       166:{3,4,6}:{(154,1),(155,1),(168,1),(170,1),(172,1)}
       167:{3,5,7}:{(155,1),(156,1),(157,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(166,1),(173,1)}
       169:{2,3,5,7}:{(159,1),(160,1),(161,1),(167,1),(173,1)}
       170:{1,4,6}:{(162,1),(163,1),(166,1),(174,1)}
       171:{1,3,5,7}:{(163,1),(164,1),(165,1),(167,1),(174,1)}
       172:{3,4,7}:{(166,1),(167,1),(173,1),(174,1)}
       173:{2,4,7}:{(168,1),(169,1),(172,1)}
       174:{1,4,7}:{(170,1),(171,1),(172,1)}

1562 :   0:{3,4,5,6,7}:{(1,1),(2,1),(10,1),(88,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(96,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(98,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(10,1),(84,1)}
         4:{2,3,5,6,7}:{(2,1),(7,1),(9,1),(10,1),(86,1)}
         5:{1,2,4,5,6,7}:{(1,1),(2,1),(8,1),(9,1),(10,1),(27,1),(28,1),(55,1)}
         6:{1,3,4,6,7}:{(3,1),(13,1),(15,1),(19,1)}
         7:{2,3,4,6,7}:{(4,1),(14,1),(16,1),(19,1)}
         8:{1,2,5,6,7}:{(3,1),(15,1),(17,1),(67,1)}
         9:{1,2,5,6,7}:{(4,1),(16,1),(18,1),(70,1)}
        10:{3,5,6,7}:{(5,1),(19,1),(72,1)}
        11:{1,3,4,5,6}:{(13,1),(20,1),(41,1),(74,1),(97,1)}
        12:{2,3,4,5,6}:{(14,1),(21,1),(41,1),(76,1),(99,1)}
        13:{1,3,4,5,7}:{(6,1),(11,1),(22,1),(29,1),(78,1),(84,1)}
        14:{2,3,4,5,7}:{(7,1),(12,1),(23,1),(29,1),(81,1),(86,1)}
        15:{1,2,4,6,7}:{(6,1),(8,1),(22,1),(24,1),(27,1)}
        16:{1,2,4,6,7}:{(7,1),(9,1),(23,1),(25,1),(28,1)}
        17:{2,3,5,6,7}:{(8,1),(10,1),(24,1),(27,1),(51,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(25,1),(28,1),(53,1)}
        19:{3,4,6,7}:{(10,1),(27,1),(28,1),(29,1)}
        20:{1,2,4,5,6}:{(11,1),(22,1),(30,1),(56,1),(58,1),(85,1)}
        21:{1,2,4,5,6}:{(12,1),(23,1),(31,1),(57,1),(60,1),(87,1)}
        22:{1,2,4,5,7}:{(13,1),(15,1),(20,1),(32,1),(39,1),(62,1),(67,1)}
        23:{1,2,4,5,7}:{(14,1),(16,1),(21,1),(33,1),(40,1),(64,1),(70,1)}
        24:{2,3,6,7}:{(15,1),(32,1)}
        25:{1,3,6,7}:{(16,1),(33,1)}
        26:{1,2,3,5,6,7}:{(17,1),(18,1),(34,1),(36,1),(38,1),(67,1),(70,1),(72,1),(97,1),(99,1)}
        27:{2,4,6,7}:{(17,1),(19,1),(39,1)}
        28:{1,4,6,7}:{(18,1),(19,1),(40,1)}
        29:{3,4,5,7}:{(19,1),(39,1),(40,1),(41,1),(72,1)}
        30:{2,3,5,6}:{(20,1),(32,1),(43,1)}
        31:{1,3,5,6}:{(21,1),(33,1),(45,1)}
        32:{2,3,5,7}:{(22,1),(24,1),(30,1),(47,1)}
        33:{1,3,5,7}:{(23,1),(25,1),(31,1),(49,1)}
        34:{1,2,3,6,7}:{(24,1),(46,1),(50,1),(101,1)}
        35:{2,3,4,6,7}:{(24,1),(27,1),(47,1),(50,1),(51,1),(54,1),(80,1)}
        36:{1,2,3,6,7}:{(25,1),(48,1),(52,1),(102,1)}
        37:{1,3,4,6,7}:{(25,1),(28,1),(49,1),(52,1),(53,1),(54,1),(83,1)}
        38:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(54,1),(55,1),(103,1),(104,1)}
        39:{2,4,5,7}:{(27,1),(29,1),(51,1),(56,1)}
        40:{1,4,5,7}:{(28,1),(29,1),(53,1),(57,1)}
        41:{3,4,5,6}:{(29,1),(56,1),(57,1),(89,1)}
        42:{1,2,3,5,6}:{(30,1),(46,1),(58,1),(85,1),(90,1),(101,1)}
        43:{2,3,4,6}:{(30,1),(47,1),(58,1),(59,1)}
        44:{1,2,3,5,6}:{(31,1),(48,1),(60,1),(87,1),(91,1),(102,1)}
        45:{1,3,4,6}:{(31,1),(49,1),(60,1),(61,1)}
        46:{1,2,3,5,7}:{(32,1),(34,1),(42,1),(62,1),(67,1),(92,1)}
        47:{2,3,4,7}:{(32,1),(43,1),(62,1)}
        48:{1,2,3,5,7}:{(33,1),(36,1),(44,1),(64,1),(70,1),(94,1)}
        49:{1,3,4,7}:{(33,1),(45,1),(64,1)}
        50:{1,2,4,6,7}:{(34,1),(35,1),(62,1),(66,1),(67,1),(93,1)}
        51:{2,3,5,7}:{(35,1),(39,1),(67,1),(68,1),(72,1)}
        52:{1,2,4,6,7}:{(36,1),(37,1),(64,1),(69,1),(70,1),(95,1)}
        53:{1,3,5,7}:{(37,1),(40,1),(70,1),(71,1),(72,1)}
        54:{3,4,6,7}:{(38,1),(72,1),(100,1)}
        55:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(67,1),(70,1),(72,1),(73,1),(96,1),(98,1)}
        56:{2,4,5,6}:{(39,1),(41,1),(68,1)}
        57:{1,4,5,6}:{(40,1),(41,1),(71,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(62,1),(74,1),(75,1)}
        59:{2,3,4,5}:{(43,1),(75,1)}
        60:{1,2,4,6}:{(44,1),(45,1),(64,1),(76,1),(77,1)}
        61:{1,3,4,5}:{(45,1),(77,1)}
        62:{1,2,4,7}:{(46,1),(47,1),(58,1),(78,1)}
        63:{2,3,4,5,7}:{(47,1),(51,1),(59,1),(79,1),(80,1),(88,1)}
        64:{1,2,4,7}:{(48,1),(49,1),(60,1),(81,1)}
        65:{1,3,4,5,7}:{(49,1),(53,1),(61,1),(82,1),(83,1),(88,1)}
        66:{1,3,4,6,7}:{(50,1),(54,1),(78,1),(84,1),(101,1),(103,1)}
        67:{1,2,5,7}:{(50,1),(51,1),(84,1),(85,1)}
        68:{2,3,5,6}:{(51,1),(56,1),(80,1),(85,1),(89,1)}
        69:{2,3,4,6,7}:{(52,1),(54,1),(81,1),(86,1),(102,1),(104,1)}
        70:{1,2,5,7}:{(52,1),(53,1),(86,1),(87,1)}
        71:{1,3,5,6}:{(53,1),(57,1),(83,1),(87,1),(89,1)}
        72:{3,5,7}:{(54,1),(55,1),(89,1)}
        73:{1,2,4,5,6}:{(55,1),(56,1),(57,1),(85,1),(87,1),(89,1),(103,1),(104,1)}
        74:{1,3,4,6}:{(58,1),(78,1),(90,1),(101,1)}
        75:{1,2,4,5}:{(58,1),(59,1),(90,1)}
        76:{2,3,4,6}:{(60,1),(81,1),(91,1),(102,1)}
        77:{1,2,4,5}:{(60,1),(61,1),(91,1)}
        78:{1,3,4,7}:{(62,1),(74,1),(92,1)}
        79:{1,2,4,5,7}:{(62,1),(63,1),(67,1),(75,1),(92,1),(93,1),(96,1)}
        80:{2,3,4,6}:{(63,1),(68,1),(93,1),(100,1)}
        81:{2,3,4,7}:{(64,1),(76,1),(94,1)}
        82:{1,2,4,5,7}:{(64,1),(65,1),(70,1),(77,1),(94,1),(95,1),(98,1)}
        83:{1,3,4,6}:{(65,1),(71,1),(95,1),(100,1)}
        84:{1,3,5,7}:{(66,1),(67,1),(72,1),(96,1),(97,1)}
        85:{1,2,5,6}:{(67,1),(68,1),(93,1),(97,1)}
        86:{2,3,5,7}:{(69,1),(70,1),(72,1),(98,1),(99,1)}
        87:{1,2,5,6}:{(70,1),(71,1),(95,1),(99,1)}
        88:{3,4,5,7}:{(72,1),(96,1),(98,1),(100,1)}
        89:{3,5,6}:{(72,1),(73,1),(100,1)}
        90:{1,3,5}:{(74,1),(75,1)}
        91:{2,3,5}:{(76,1),(77,1)}
        92:{1,3,5,7}:{(78,1),(79,1),(90,1),(101,1)}
        93:{1,2,4,6}:{(79,1),(80,1),(85,1),(101,1),(103,1)}
        94:{2,3,5,7}:{(81,1),(82,1),(91,1),(102,1)}
        95:{1,2,4,6}:{(82,1),(83,1),(87,1),(102,1),(104,1)}
        96:{1,4,5,7}:{(84,1),(88,1),(103,1)}
        97:{1,3,5,6}:{(84,1),(85,1),(89,1),(101,1),(103,1)}
        98:{2,4,5,7}:{(86,1),(88,1),(104,1)}
        99:{2,3,5,6}:{(86,1),(87,1),(89,1),(102,1),(104,1)}
       100:{3,4,6}:{(88,1),(89,1),(103,1),(104,1)}
       101:{1,3,6}:{(92,1),(93,1)}
       102:{2,3,6}:{(94,1),(95,1)}
       103:{1,4,6}:{(96,1),(97,1),(100,1)}
       104:{2,4,6}:{(98,1),(99,1),(100,1)}

1563 :   0:{1,2,3,6,7}:{(3,1),(4,1),(54,1),(55,1),(57,1),(88,1)}
         1:{1,2,3,5,6}:{(4,1),(5,1),(19,1),(20,1),(21,1),(23,1),(57,1),(60,1),(62,1),(88,1)}
         2:{1,2,4,5,6}:{(8,1),(9,1),(11,1),(32,1),(33,1),(37,1),(38,1),(63,1),(91,1),(92,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(10,1),(12,1),(38,1),(69,1),(70,1)}
         4:{1,2,3,5,7}:{(0,1),(1,1),(10,1),(12,1),(35,1),(36,1),(39,1),(76,1),(78,1)}
         5:{1,2,4,6}:{(1,1),(11,1),(12,1),(13,1),(32,1),(33,1)}
         6:{3,4,6,7}:{(3,1),(14,1),(24,1),(45,1),(57,1)}
         7:{1,2,5,6,7}:{(15,1),(17,1),(21,1),(84,1),(85,1)}
         8:{1,2,4,5,7}:{(2,1),(17,1),(18,1),(49,1),(51,1),(52,1),(56,1),(84,1),(85,1)}
         9:{3,5,6}:{(2,1),(16,1),(18,1),(23,1),(57,1)}
        10:{1,2,5,7}:{(3,1),(14,1),(21,1),(84,1),(85,1)}
        11:{1,2,4,5}:{(5,1),(23,1),(47,1),(48,1),(60,1)}
        12:{1,2,4,7}:{(4,1),(5,1),(24,1),(51,1),(52,1)}
        13:{3,4,6}:{(5,1),(23,1),(24,1),(57,1)}
        14:{3,5,7}:{(6,1),(10,1),(27,1),(28,1)}
        15:{3,5,6,7}:{(7,1),(27,1),(30,1),(34,1),(68,1)}
        16:{3,4,6}:{(9,1),(29,1),(31,1),(32,1),(33,1),(72,1)}
        17:{1,2,4,6,7}:{(7,1),(8,1),(30,1),(34,1),(38,1),(69,1),(70,1),(73,1)}
        18:{3,5,7}:{(8,1),(9,1),(31,1),(34,1)}
        19:{1,3,5,6}:{(9,1),(32,1),(35,1),(37,1),(40,1),(72,1),(74,1),(91,1),(105,1)}
        20:{2,3,5,6}:{(9,1),(33,1),(36,1),(37,1),(41,1),(72,1),(75,1),(92,1),(105,1)}
        21:{1,2,5,6}:{(10,1),(27,1),(38,1),(91,1),(92,1)}
        22:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(28,1),(38,1),(39,1),(65,1),(66,1),(76,1)}
        23:{3,5}:{(11,1),(13,1)}
        24:{3,4,7}:{(12,1),(13,1),(39,1)}
        25:{1,3,4,6}:{(13,1),(32,1),(40,1),(42,1),(44,1),(72,1),(74,1),(95,1),(106,1)}
        26:{2,3,4,6}:{(13,1),(33,1),(41,1),(43,1),(44,1),(72,1),(75,1),(95,1),(106,1)}
        27:{3,5,6}:{(14,1),(21,1),(45,1),(57,1)}
        28:{4,5,7}:{(14,1),(45,1)}
        29:{3,4,5}:{(16,1),(23,1),(47,1),(48,1),(83,1)}
        30:{4,6,7}:{(15,1),(45,1),(49,1)}
        31:{3,4,7}:{(16,1),(18,1),(51,1),(52,1),(87,1)}
        32:{1,4,6}:{(16,1),(19,1),(47,1),(51,1),(109,1)}
        33:{2,4,6}:{(16,1),(20,1),(48,1),(52,1),(109,1)}
        34:{3,6,7}:{(17,1),(18,1),(57,1)}
        35:{1,3,5,7}:{(18,1),(19,1),(51,1),(54,1),(56,1),(84,1),(87,1),(103,1)}
        36:{2,3,5,7}:{(18,1),(20,1),(52,1),(55,1),(56,1),(85,1),(87,1),(103,1)}
        37:{1,2,5,6}:{(19,1),(20,1),(53,1),(56,1),(60,1),(88,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(45,1),(57,1),(80,1),(81,1),(88,1)}
        39:{3,5,7}:{(22,1),(23,1),(24,1),(57,1)}
        40:{1,3,5}:{(23,1),(25,1),(47,1),(60,1),(83,1),(110,1)}
        41:{2,3,5}:{(23,1),(26,1),(48,1),(60,1),(83,1),(110,1)}
        42:{1,3,4,7}:{(24,1),(25,1),(51,1),(58,1),(61,1),(87,1),(102,1)}
        43:{2,3,4,7}:{(24,1),(26,1),(52,1),(59,1),(61,1),(87,1),(102,1)}
        44:{1,2,4,6}:{(25,1),(26,1),(60,1),(61,1),(62,1),(88,1),(90,1)}
        45:{4,6}:{(27,1),(28,1)}
        46:{3,4,5,7}:{(28,1),(29,1),(31,1),(39,1),(64,1),(65,1),(66,1),(68,1),(94,1),(107,1),(111,1)}
        47:{1,4,5}:{(29,1),(32,1),(40,1),(111,1)}
        48:{2,4,5}:{(29,1),(33,1),(41,1),(111,1)}
        49:{4,5,7}:{(30,1),(63,1),(68,1),(107,1)}
        50:{3,4,6,7}:{(30,1),(31,1),(34,1),(64,1),(68,1),(69,1),(70,1),(97,1),(107,1)}
        51:{1,4,7}:{(31,1),(32,1),(35,1),(107,1)}
        52:{2,4,7}:{(31,1),(33,1),(36,1),(107,1)}
        53:{1,2,4,6}:{(32,1),(33,1),(37,1),(67,1),(71,1),(72,1)}
        54:{1,3,6,7}:{(34,1),(35,1),(69,1),(73,1),(74,1),(97,1)}
        55:{2,3,6,7}:{(34,1),(36,1),(70,1),(73,1),(75,1),(97,1)}
        56:{1,2,5,7}:{(35,1),(36,1),(37,1),(71,1),(73,1)}
        57:{3,6}:{(38,1),(39,1)}
        58:{1,3,5,7}:{(39,1),(40,1),(42,1),(65,1),(74,1),(76,1),(94,1)}
        59:{2,3,5,7}:{(39,1),(41,1),(43,1),(66,1),(75,1),(76,1),(94,1)}
        60:{1,2,5}:{(40,1),(41,1),(44,1)}
        61:{1,2,4,7}:{(42,1),(43,1),(44,1),(76,1),(78,1)}
        62:{1,2,3,6}:{(44,1),(72,1),(77,1),(78,1)}
        63:{4,5,6}:{(45,1),(49,1),(79,1),(109,1)}
        64:{3,4,6}:{(45,1),(46,1),(57,1),(79,1),(80,1),(81,1),(101,1),(109,1)}
        65:{1,4,5,7}:{(46,1),(47,1),(51,1),(58,1),(80,1),(84,1)}
        66:{2,4,5,7}:{(46,1),(48,1),(52,1),(59,1),(81,1),(85,1)}
        67:{1,2,4,5}:{(47,1),(48,1),(53,1),(60,1),(83,1),(90,1)}
        68:{3,5,7}:{(49,1),(50,1),(79,1),(84,1),(85,1)}
        69:{1,4,6,7}:{(50,1),(51,1),(54,1),(80,1),(84,1)}
        70:{2,4,6,7}:{(50,1),(52,1),(55,1),(81,1),(85,1)}
        71:{1,2,4,7}:{(51,1),(52,1),(53,1),(56,1),(87,1)}
        72:{3,6}:{(53,1),(83,1),(87,1)}
        73:{1,2,6,7}:{(54,1),(55,1),(56,1),(88,1)}
        74:{1,3,6}:{(57,1),(58,1),(80,1),(88,1),(101,1)}
        75:{2,3,6}:{(57,1),(59,1),(81,1),(88,1),(101,1)}
        76:{1,2,5,7}:{(58,1),(59,1),(60,1),(61,1),(88,1)}
        77:{1,2,3,5}:{(60,1),(62,1),(83,1),(90,1)}
        78:{1,2,3,7}:{(61,1),(62,1),(87,1)}
        79:{3,5,6}:{(63,1),(64,1),(68,1),(91,1),(92,1)}
        80:{1,4,6}:{(64,1),(65,1),(74,1),(91,1)}
        81:{2,4,6}:{(64,1),(66,1),(75,1),(92,1)}
        82:{1,2,4,5,7}:{(65,1),(66,1),(67,1),(71,1),(76,1),(93,1),(94,1),(96,1),(99,1),(107,1),(108,1),(111,1)}
        83:{3,5}:{(67,1),(72,1),(95,1)}
        84:{1,5,7}:{(68,1),(69,1),(91,1)}
        85:{2,5,7}:{(68,1),(70,1),(92,1)}
        86:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(73,1),(93,1),(96,1),(97,1),(107,1)}
        87:{3,7}:{(71,1),(72,1)}
        88:{1,2,6}:{(74,1),(75,1),(76,1)}
        89:{1,2,3,5,7}:{(76,1),(77,1),(78,1),(94,1),(98,1),(99,1),(108,1)}
        90:{1,2,4}:{(77,1),(95,1)}
        91:{1,5,6}:{(79,1),(80,1),(84,1)}
        92:{2,5,6}:{(79,1),(81,1),(85,1)}
        93:{1,2,4,6}:{(80,1),(81,1),(82,1),(88,1),(100,1),(101,1),(109,1)}
        94:{3,5,7}:{(82,1),(83,1),(87,1),(101,1),(102,1),(110,1)}
        95:{3,4}:{(83,1),(90,1)}
        96:{1,2,5,7}:{(84,1),(85,1),(86,1),(100,1),(103,1)}
        97:{3,6,7}:{(86,1),(87,1),(101,1),(103,1)}
        98:{1,2,3,6}:{(88,1),(89,1),(101,1),(104,1)}
        99:{1,2,4,7}:{(89,1),(90,1),(102,1),(104,1)}
       100:{1,2,5,6}:{(91,1),(92,1),(93,1),(96,1),(105,1),(108,1)}
       101:{3,6}:{(93,1),(94,1)}
       102:{3,4,7}:{(94,1),(95,1),(99,1),(106,1),(107,1)}
       103:{3,5,7}:{(96,1),(97,1),(105,1),(107,1)}
       104:{1,2,4,6}:{(98,1),(99,1),(106,1),(108,1)}
       105:{3,5,6}:{(100,1),(101,1),(103,1),(109,1),(110,1)}
       106:{3,4,6}:{(101,1),(102,1),(104,1),(109,1),(110,1)}
       107:{4,7}:{(103,1),(109,1)}
       108:{1,2,5}:{(104,1),(110,1)}
       109:{4,6}:{(105,1),(107,1),(111,1)}
       110:{3,5}:{(106,1),(108,1),(111,1)}
       111:{4,5}:{(109,1),(110,1)}

1564 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(31,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(42,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(14,1),(34,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(7,1),(19,1),(38,1),(39,1),(42,1),(43,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(19,1)}
        7:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(47,1),(48,1)}
        8:{1,2,4,5,6}:{(5,1),(12,1),(14,1),(32,1),(33,1),(34,1)}
        9:{3,4,6}:{(5,1),(6,1),(14,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(29,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(30,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(19,1),(40,1),(41,1),(42,1)}
       13:{3,4,6,7}:{(7,1),(9,1),(19,1)}
       14:{3,5,6}:{(8,1),(9,1),(19,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(23,1),(25,1),(58,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(24,1),(25,1),(58,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(42,1),(57,1),(59,1)}
       18:{1,2,4,5,6,7}:{(12,1),(27,1),(47,1),(48,1),(49,1)}
       19:{3,5,7}:{(12,1),(13,1),(14,1)}
       20:{1,3,4,6,7}:{(13,1),(15,1),(29,1),(31,1),(47,1),(60,1),(61,1)}
       21:{2,3,4,6,7}:{(13,1),(16,1),(30,1),(31,1),(48,1),(60,1),(61,1)}
       22:{3,4,5,6}:{(14,1),(28,1),(32,1),(33,1),(52,1)}
       23:{1,3,5,6}:{(14,1),(15,1),(29,1),(32,1),(34,1),(52,1)}
       24:{2,3,5,6}:{(14,1),(16,1),(30,1),(33,1),(34,1),(52,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,5,6,7}:{(18,1),(19,1),(37,1)}
       28:{3,4,5,7}:{(19,1),(22,1),(37,1),(40,1),(41,1),(56,1)}
       29:{1,3,5,7}:{(19,1),(20,1),(23,1),(40,1),(42,1),(56,1)}
       30:{2,3,5,7}:{(19,1),(21,1),(24,1),(41,1),(42,1),(56,1)}
       31:{1,2,4,6,7}:{(20,1),(21,1),(25,1),(42,1),(43,1),(57,1)}
       32:{1,4,5,6}:{(22,1),(23,1),(40,1)}
       33:{2,4,5,6}:{(22,1),(24,1),(41,1)}
       34:{1,2,5,6}:{(23,1),(24,1),(25,1),(42,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(57,1)}
       37:{3,4,6,7}:{(27,1),(28,1),(47,1),(48,1),(60,1)}
       38:{1,3,5,6,7}:{(27,1),(29,1),(47,1),(49,1),(60,1)}
       39:{2,3,5,6,7}:{(27,1),(30,1),(48,1),(49,1),(60,1)}
       40:{1,4,5,7}:{(28,1),(29,1),(32,1),(47,1)}
       41:{2,4,5,7}:{(28,1),(30,1),(33,1),(48,1)}
       42:{1,2,5,7}:{(29,1),(30,1),(31,1),(34,1)}
       43:{1,2,3,6,7}:{(31,1),(35,1),(51,1),(60,1)}
       44:{1,2,4,5,6}:{(32,1),(33,1),(34,1),(50,1),(52,1),(53,1)}
       45:{1,2,3,5,6}:{(34,1),(35,1),(51,1),(52,1),(53,1),(54,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(40,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(41,1)}
       49:{1,2,5,6,7}:{(38,1),(39,1),(42,1),(55,1)}
       50:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(44,1),(55,1),(56,1),(57,1)}
       51:{1,2,3,5,7}:{(42,1),(43,1),(45,1),(56,1),(57,1)}
       52:{3,5,6}:{(44,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(45,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(50,1),(60,1)}
       56:{3,5,7}:{(50,1),(52,1),(60,1),(61,1)}
       57:{1,2,4,7}:{(51,1),(53,1),(61,1)}
       58:{3,4,6}:{(52,1),(53,1),(61,1),(62,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(58,1),(59,1)}

1565 :   0:{1,3,4,5,7}:{(2,1),(3,1),(15,1),(23,1),(68,1),(110,1),(114,1),(120,1),(167,1),(171,1)}
         1:{2,3,4,5,7}:{(4,1),(5,1),(17,1),(19,1),(64,1),(109,1),(115,1),(124,1),(167,1),(174,1)}
         2:{1,2,4,5,7}:{(0,1),(8,1),(9,1),(32,1),(37,1),(83,1),(90,1),(92,1)}
         3:{1,3,4,6}:{(0,1),(9,1),(10,1),(93,1),(144,1),(187,1),(191,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(35,1),(37,1),(87,1),(90,1),(96,1)}
         5:{2,3,4,6}:{(1,1),(12,1),(13,1),(97,1),(139,1),(187,1),(193,1)}
         6:{1,3,4,6,7}:{(3,1),(14,1),(15,1),(48,1),(101,1),(110,1),(160,1)}
         7:{2,3,4,6,7}:{(5,1),(16,1),(17,1),(50,1),(104,1),(115,1),(164,1)}
         8:{2,3,5,7}:{(2,1),(19,1),(20,1),(64,1),(167,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(20,1),(21,1),(65,1)}
        10:{1,3,5,6}:{(3,1),(15,1),(21,1),(22,1),(66,1),(68,1),(199,1)}
        11:{1,3,5,7}:{(4,1),(23,1),(24,1),(68,1),(167,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(24,1),(25,1),(69,1)}
        13:{2,3,5,6}:{(5,1),(17,1),(25,1),(26,1),(64,1),(70,1),(200,1)}
        14:{1,2,4,6,7}:{(6,1),(9,1),(31,1),(32,1),(83,1)}
        15:{1,3,5,7}:{(6,1),(10,1),(32,1),(33,1),(84,1),(184,1)}
        16:{1,2,4,6,7}:{(7,1),(12,1),(34,1),(35,1),(87,1)}
        17:{2,3,5,7}:{(7,1),(13,1),(35,1),(36,1),(88,1),(186,1)}
        18:{1,2,3,5,7}:{(8,1),(11,1),(37,1),(38,1),(90,1)}
        19:{2,3,4,7}:{(8,1),(37,1),(39,1),(83,1),(138,1)}
        20:{2,3,6}:{(8,1),(9,1),(187,1)}
        21:{1,2,5,6}:{(9,1),(10,1),(32,1),(40,1),(90,1)}
        22:{1,4,5,6}:{(10,1),(33,1),(42,1),(96,1),(144,1)}
        23:{1,3,4,7}:{(11,1),(37,1),(43,1),(87,1),(138,1)}
        24:{1,3,6}:{(11,1),(12,1),(187,1)}
        25:{1,2,5,6}:{(12,1),(13,1),(35,1),(44,1),(90,1)}
        26:{2,4,5,6}:{(13,1),(36,1),(46,1),(92,1),(139,1)}
        27:{1,3,5,6,7}:{(15,1),(47,1),(48,1),(51,1),(101,1),(113,1)}
        28:{2,3,5,6,7}:{(17,1),(49,1),(50,1),(52,1),(104,1),(108,1)}
        29:{1,4,5,6,7}:{(48,1),(51,1),(162,1)}
        30:{2,4,5,6,7}:{(50,1),(52,1),(158,1)}
        31:{2,3,6,7}:{(14,1),(20,1),(55,1),(101,1)}
        32:{1,2,5,7}:{(14,1),(15,1),(21,1),(55,1)}
        33:{1,4,5,7}:{(15,1),(22,1),(48,1),(57,1)}
        34:{1,3,6,7}:{(16,1),(24,1),(59,1),(104,1)}
        35:{1,2,5,7}:{(16,1),(17,1),(25,1),(59,1)}
        36:{2,4,5,7}:{(17,1),(26,1),(50,1),(61,1)}
        37:{1,2,4,7}:{(18,1),(19,1),(23,1),(62,1)}
        38:{1,2,3,6}:{(18,1),(20,1),(24,1),(62,1)}
        39:{2,3,4,6}:{(19,1),(20,1),(62,1),(64,1),(65,1),(119,1)}
        40:{2,3,5,6}:{(20,1),(21,1),(55,1),(64,1),(65,1),(66,1)}
        41:{1,2,4,5,6}:{(21,1),(22,1),(56,1),(65,1),(66,1),(67,1),(118,1),(121,1),(123,1),(158,1),(166,1),(199,1)}
        42:{3,4,5,6}:{(22,1),(57,1),(66,1),(67,1),(124,1),(173,1)}
        43:{1,3,4,6}:{(23,1),(24,1),(62,1),(68,1),(69,1),(119,1)}
        44:{1,3,5,6}:{(24,1),(25,1),(59,1),(68,1),(69,1),(70,1)}
        45:{1,2,4,5,6}:{(25,1),(26,1),(60,1),(69,1),(70,1),(71,1),(118,1),(126,1),(127,1),(162,1),(166,1),(200,1)}
        46:{3,4,5,6}:{(26,1),(61,1),(70,1),(71,1),(120,1),(170,1)}
        47:{1,2,5,6,7}:{(27,1),(32,1),(72,1),(73,1),(78,1),(136,1),(184,1)}
        48:{1,4,6,7}:{(27,1),(33,1),(74,1),(144,1)}
        49:{1,2,5,6,7}:{(28,1),(35,1),(75,1),(76,1),(79,1),(136,1),(186,1)}
        50:{2,4,6,7}:{(28,1),(36,1),(77,1),(139,1)}
        51:{3,5,6,7}:{(29,1),(74,1),(78,1),(185,1)}
        52:{3,5,6,7}:{(30,1),(77,1),(79,1),(183,1)}
        53:{1,2,3,6,7}:{(31,1),(34,1),(38,1),(80,1),(81,1),(130,1),(135,1),(187,1),(208,1)}
        54:{2,3,4,6,7}:{(31,1),(39,1),(80,1),(82,1),(83,1),(129,1),(138,1),(139,1),(187,1)}
        55:{2,3,5,7}:{(31,1),(32,1),(40,1),(83,1),(84,1)}
        56:{1,2,4,5,7}:{(32,1),(33,1),(41,1),(73,1),(83,1),(84,1),(85,1),(128,1),(141,1),(143,1),(184,1)}
        57:{3,4,5,7}:{(33,1),(42,1),(74,1),(84,1),(85,1)}
        58:{1,3,4,6,7}:{(34,1),(43,1),(80,1),(86,1),(87,1),(133,1),(138,1),(144,1),(187,1)}
        59:{1,3,5,7}:{(34,1),(35,1),(44,1),(87,1),(88,1)}
        60:{1,2,4,5,7}:{(35,1),(36,1),(45,1),(76,1),(87,1),(88,1),(89,1),(132,1),(147,1),(148,1),(186,1)}
        61:{3,4,5,7}:{(36,1),(46,1),(77,1),(88,1),(89,1)}
        62:{1,2,4,6}:{(37,1),(38,1),(39,1),(43,1),(90,1)}
        63:{1,2,3,5,6}:{(38,1),(40,1),(44,1),(81,1),(90,1),(91,1),(94,1),(99,1),(136,1),(149,1),(187,1),(195,1),(196,1),(208,1)}
        64:{2,3,5}:{(39,1),(90,1),(92,1),(149,1)}
        65:{2,4,6}:{(40,1),(83,1),(92,1),(93,1)}
        66:{3,5,6}:{(41,1),(84,1),(93,1),(149,1),(187,1)}
        67:{2,4,5,6}:{(42,1),(85,1),(95,1),(156,1),(193,1)}
        68:{1,3,5}:{(43,1),(90,1),(96,1),(149,1)}
        69:{1,4,6}:{(44,1),(87,1),(96,1),(97,1)}
        70:{3,5,6}:{(45,1),(88,1),(97,1),(149,1),(187,1)}
        71:{1,4,5,6}:{(46,1),(89,1),(98,1),(152,1),(191,1)}
        72:{2,3,5,6,7}:{(47,1),(55,1),(100,1),(101,1),(108,1),(159,1)}
        73:{1,2,4,6,7}:{(47,1),(48,1),(56,1),(100,1),(101,1),(102,1),(160,1),(161,1),(166,1)}
        74:{3,4,6,7}:{(48,1),(51,1),(57,1),(101,1),(102,1),(173,1)}
        75:{1,3,5,6,7}:{(49,1),(59,1),(103,1),(104,1),(113,1),(163,1)}
        76:{1,2,4,6,7}:{(49,1),(50,1),(60,1),(103,1),(104,1),(105,1),(164,1),(165,1),(166,1)}
        77:{3,4,6,7}:{(50,1),(52,1),(61,1),(104,1),(105,1),(170,1)}
        78:{2,5,6,7}:{(51,1),(102,1),(200,1)}
        79:{1,5,6,7}:{(52,1),(105,1),(199,1)}
        80:{1,2,4,6,7}:{(53,1),(54,1),(58,1),(62,1),(106,1),(107,1),(160,1),(164,1),(166,1)}
        81:{1,2,3,5,7}:{(53,1),(55,1),(59,1),(63,1),(106,1),(107,1),(111,1),(117,1),(167,1),(203,1),(204,1)}
        82:{2,3,5,7}:{(54,1),(64,1),(106,1),(108,1),(109,1),(159,1),(167,1)}
        83:{2,4,7}:{(55,1),(65,1),(110,1)}
        84:{3,5,7}:{(56,1),(66,1),(101,1),(110,1)}
        85:{2,4,5,7}:{(57,1),(67,1),(102,1),(112,1)}
        86:{1,3,5,7}:{(58,1),(68,1),(106,1),(113,1),(114,1),(163,1),(167,1)}
        87:{1,4,7}:{(59,1),(69,1),(115,1)}
        88:{3,5,7}:{(60,1),(70,1),(104,1),(115,1)}
        89:{1,4,5,7}:{(61,1),(71,1),(105,1),(116,1)}
        90:{1,2,5}:{(62,1),(64,1),(68,1)}
        91:{1,2,4,6}:{(63,1),(65,1),(69,1),(107,1),(118,1),(119,1),(121,1),(126,1)}
        92:{2,4,5}:{(64,1),(65,1),(120,1)}
        93:{3,4,6}:{(65,1),(66,1),(110,1),(120,1),(121,1)}
        94:{1,3,5,6}:{(66,1),(111,1),(121,1),(123,1),(176,1),(180,1),(199,1),(201,1)}
        95:{2,3,5,6}:{(66,1),(67,1),(112,1),(122,1),(123,1),(177,1),(202,1)}
        96:{1,4,5}:{(68,1),(69,1),(124,1)}
        97:{3,4,6}:{(69,1),(70,1),(115,1),(124,1),(126,1)}
        98:{1,3,5,6}:{(70,1),(71,1),(116,1),(125,1),(127,1),(176,1),(201,1)}
        99:{2,3,5,6}:{(70,1),(117,1),(126,1),(127,1),(177,1),(182,1),(200,1),(202,1)}
       100:{2,4,6,7}:{(72,1),(83,1),(128,1),(129,1),(139,1)}
       101:{3,6,7}:{(73,1),(84,1),(187,1)}
       102:{2,4,6,7}:{(74,1),(78,1),(85,1),(131,1),(193,1)}
       103:{1,4,6,7}:{(75,1),(87,1),(132,1),(133,1),(144,1)}
       104:{3,6,7}:{(76,1),(88,1),(187,1)}
       105:{1,4,6,7}:{(77,1),(79,1),(89,1),(134,1),(191,1)}
       106:{1,2,5,7}:{(80,1),(82,1),(86,1),(90,1),(136,1),(184,1),(186,1)}
       107:{1,2,4,7}:{(81,1),(83,1),(87,1),(91,1),(138,1),(141,1),(147,1)}
       108:{2,3,5,6}:{(82,1),(136,1),(139,1),(183,1),(187,1)}
       109:{2,4,5,7}:{(82,1),(83,1),(92,1),(139,1),(140,1)}
       110:{3,4,7}:{(83,1),(84,1),(93,1),(141,1)}
       111:{1,3,5,7}:{(84,1),(94,1),(130,1),(141,1),(143,1),(184,1),(192,1)}
       112:{2,3,5,7}:{(84,1),(85,1),(95,1),(131,1),(142,1),(143,1)}
       113:{1,3,5,6}:{(86,1),(136,1),(144,1),(185,1),(187,1)}
       114:{1,4,5,7}:{(86,1),(87,1),(96,1),(144,1),(145,1)}
       115:{3,4,7}:{(87,1),(88,1),(97,1),(147,1)}
       116:{1,3,5,7}:{(88,1),(89,1),(98,1),(134,1),(146,1),(148,1)}
       117:{2,3,5,7}:{(88,1),(99,1),(135,1),(147,1),(148,1),(186,1),(194,1)}
       118:{1,2,4,5}:{(90,1),(91,1),(92,1),(96,1),(149,1),(152,1),(156,1),(195,1)}
       119:{3,4,6}:{(91,1),(138,1),(149,1),(187,1)}
       120:{3,4,5}:{(92,1),(93,1),(149,1),(152,1)}
       121:{1,4,6}:{(93,1),(94,1),(141,1),(152,1)}
       122:{2,3,4,6}:{(93,1),(95,1),(142,1),(153,1),(154,1)}
       123:{1,2,5,6}:{(94,1),(95,1),(143,1),(154,1),(195,1),(208,1)}
       124:{3,4,5}:{(96,1),(97,1),(149,1),(156,1)}
       125:{1,3,4,6}:{(97,1),(98,1),(146,1),(155,1),(157,1)}
       126:{2,4,6}:{(97,1),(99,1),(147,1),(156,1)}
       127:{1,2,5,6}:{(98,1),(99,1),(148,1),(157,1),(195,1),(208,1)}
       128:{2,4,5,7}:{(100,1),(158,1),(159,1)}
       129:{3,4,6,7}:{(100,1),(101,1),(110,1),(159,1),(160,1),(170,1)}
       130:{1,3,6,7}:{(101,1),(111,1),(160,1),(161,1),(201,1)}
       131:{2,3,6,7}:{(101,1),(102,1),(112,1),(161,1),(202,1)}
       132:{1,4,5,7}:{(103,1),(162,1),(163,1)}
       133:{3,4,6,7}:{(103,1),(104,1),(115,1),(163,1),(164,1),(173,1)}
       134:{1,3,6,7}:{(104,1),(105,1),(116,1),(165,1),(201,1)}
       135:{2,3,6,7}:{(104,1),(117,1),(164,1),(165,1),(202,1)}
       136:{1,2,5,6}:{(106,1),(108,1),(113,1),(166,1),(199,1),(200,1)}
       137:{1,2,4,5,7}:{(106,1),(107,1),(109,1),(114,1),(118,1),(166,1),(167,1),(171,1),(174,1),(203,1)}
       138:{3,4,7}:{(107,1),(119,1),(167,1)}
       139:{2,4,6}:{(108,1),(109,1),(170,1)}
       140:{3,4,5,7}:{(109,1),(110,1),(120,1),(159,1),(167,1),(170,1),(171,1)}
       141:{1,4,7}:{(110,1),(111,1),(121,1)}
       142:{2,3,4,7}:{(110,1),(112,1),(122,1),(172,1)}
       143:{1,2,5,7}:{(111,1),(112,1),(123,1),(161,1),(172,1)}
       144:{1,4,6}:{(113,1),(114,1),(173,1)}
       145:{3,4,5,7}:{(114,1),(115,1),(124,1),(163,1),(167,1),(173,1),(174,1)}
       146:{1,3,4,7}:{(115,1),(116,1),(125,1),(175,1)}
       147:{2,4,7}:{(115,1),(117,1),(126,1)}
       148:{1,2,5,7}:{(116,1),(117,1),(127,1),(165,1),(175,1)}
       149:{3,5}:{(118,1),(119,1)}
       150:{1,3,4,6}:{(119,1),(121,1),(168,1),(176,1),(178,1),(180,1),(201,1),(206,1)}
       151:{2,3,4,6}:{(119,1),(126,1),(169,1),(177,1),(178,1),(182,1),(202,1),(207,1)}
       152:{1,4,5}:{(120,1),(121,1),(176,1)}
       153:{2,3,4,5}:{(120,1),(122,1),(177,1),(179,1),(207,1)}
       154:{1,2,4,6}:{(121,1),(122,1),(123,1),(172,1),(179,1),(180,1)}
       155:{1,3,4,5}:{(124,1),(125,1),(176,1),(181,1),(206,1)}
       156:{2,4,5}:{(124,1),(126,1),(177,1)}
       157:{1,2,4,6}:{(125,1),(126,1),(127,1),(175,1),(181,1),(182,1)}
       158:{2,4,5,6}:{(128,1),(139,1),(183,1)}
       159:{3,5,7}:{(128,1),(129,1),(183,1),(184,1)}
       160:{1,4,6,7}:{(129,1),(130,1),(141,1),(184,1),(191,1)}
       161:{1,2,6,7}:{(130,1),(131,1),(143,1),(208,1)}
       162:{1,4,5,6}:{(132,1),(144,1),(185,1)}
       163:{3,5,7}:{(132,1),(133,1),(185,1),(186,1)}
       164:{2,4,6,7}:{(133,1),(135,1),(147,1),(186,1),(193,1)}
       165:{1,2,6,7}:{(134,1),(135,1),(148,1),(208,1)}
       166:{1,2,4,6}:{(136,1),(137,1),(139,1),(144,1),(187,1),(191,1),(193,1),(208,1)}
       167:{3,5,7}:{(137,1),(138,1),(149,1),(187,1)}
       168:{1,3,4,7}:{(138,1),(141,1),(150,1),(188,1),(190,1),(192,1)}
       169:{2,3,4,7}:{(138,1),(147,1),(151,1),(189,1),(190,1),(194,1)}
       170:{3,4,6}:{(139,1),(140,1),(183,1),(187,1),(191,1)}
       171:{1,4,5,7}:{(140,1),(141,1),(152,1),(184,1),(188,1),(191,1)}
       172:{1,2,4,7}:{(141,1),(142,1),(143,1),(154,1),(192,1)}
       173:{3,4,6}:{(144,1),(145,1),(185,1),(187,1),(193,1)}
       174:{2,4,5,7}:{(145,1),(147,1),(156,1),(186,1),(189,1),(193,1)}
       175:{1,2,4,7}:{(146,1),(147,1),(148,1),(157,1),(194,1)}
       176:{1,3,5}:{(149,1),(150,1),(152,1),(195,1)}
       177:{2,3,5}:{(149,1),(151,1),(156,1),(195,1)}
       178:{1,2,4,6}:{(150,1),(151,1),(190,1),(195,1),(196,1),(208,1),(209,1)}
       179:{1,2,4,5}:{(152,1),(153,1),(154,1),(195,1),(197,1),(209,1)}
       180:{1,3,6}:{(154,1),(192,1),(197,1)}
       181:{1,2,4,5}:{(155,1),(156,1),(157,1),(195,1),(198,1),(209,1)}
       182:{2,3,6}:{(157,1),(194,1),(198,1)}
       183:{3,5,6}:{(158,1),(159,1),(170,1),(199,1)}
       184:{1,5,7}:{(159,1),(160,1),(199,1)}
       185:{3,5,6}:{(162,1),(163,1),(173,1),(200,1)}
       186:{2,5,7}:{(163,1),(164,1),(200,1)}
       187:{3,6}:{(166,1),(167,1)}
       188:{1,3,5,7}:{(167,1),(168,1),(171,1),(176,1),(201,1),(203,1)}
       189:{2,3,5,7}:{(167,1),(169,1),(174,1),(177,1),(202,1),(203,1)}
       190:{1,2,4,7}:{(168,1),(169,1),(178,1),(203,1),(204,1)}
       191:{1,4,6}:{(170,1),(171,1),(199,1),(201,1)}
       192:{1,3,7}:{(172,1),(180,1)}
       193:{2,4,6}:{(173,1),(174,1),(200,1),(202,1)}
       194:{2,3,7}:{(175,1),(182,1)}
       195:{1,2,5}:{(176,1),(177,1),(178,1)}
       196:{1,2,3,6}:{(178,1),(180,1),(182,1),(204,1),(205,1)}
       197:{1,3,5}:{(179,1),(180,1),(206,1)}
       198:{2,3,5}:{(181,1),(182,1),(207,1)}
       199:{1,5,6}:{(183,1),(184,1),(191,1)}
       200:{2,5,6}:{(185,1),(186,1),(193,1)}
       201:{1,3,6}:{(187,1),(188,1),(191,1),(208,1)}
       202:{2,3,6}:{(187,1),(189,1),(193,1),(208,1)}
       203:{1,2,5,7}:{(188,1),(189,1),(190,1),(195,1),(208,1)}
       204:{1,2,3,7}:{(190,1),(192,1),(194,1),(196,1)}
       205:{1,2,3,5}:{(195,1),(196,1),(197,1),(198,1),(209,1)}
       206:{1,3,4}:{(197,1),(209,1)}
       207:{2,3,4}:{(198,1),(209,1)}
       208:{1,2,6}:{(201,1),(202,1),(203,1)}
       209:{1,2,4}:{(205,1),(206,1),(207,1)}

1566 :   0:{1,2,3,4,6}:{(1,1),(2,1),(8,1),(9,1),(21,1),(52,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(17,1),(67,1)}
         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)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(19,1),(27,1),(47,1),(52,1)}
         6:{3,4,5}:{(3,1),(15,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1),(41,1)}
         8:{1,2,4,6}:{(3,1),(5,1),(15,1),(17,1)}
         9:{1,2,3,6}:{(4,1),(16,1)}
        10:{1,2,3,5,7}:{(5,1),(17,1),(18,1),(33,1),(41,1),(63,1),(67,1)}
        11:{1,2,4,5,6}:{(8,1),(19,1),(20,1),(27,1),(42,1),(43,1),(47,1),(54,1)}
        12:{2,3,4,5}:{(6,1),(22,1),(23,1),(69,1)}
        13:{1,3,4,5}:{(6,1),(22,1),(24,1),(69,1)}
        14:{3,4,5,7}:{(6,1),(7,1),(25,1),(26,1),(55,1)}
        15:{3,4,6}:{(6,1),(8,1),(19,1),(26,1)}
        16:{1,2,4,6}:{(7,1),(9,1),(25,1),(27,1)}
        17:{1,2,4,7}:{(8,1),(10,1),(26,1)}
        18:{1,2,3,6,7}:{(9,1),(10,1),(28,1),(50,1),(79,1)}
        19:{3,5,6}:{(11,1),(15,1),(33,1)}
        20:{1,2,4,5,7}:{(11,1),(17,1),(33,1),(34,1),(41,1),(57,1),(58,1),(63,1),(68,1)}
        21:{1,2,3,4}:{(35,1)}
        22:{1,2,4,5}:{(12,1),(13,1),(35,1),(36,1)}
        23:{2,3,4,6}:{(12,1),(15,1),(31,1),(36,1),(37,1),(82,1)}
        24:{1,3,4,6}:{(13,1),(15,1),(32,1),(36,1),(38,1),(82,1)}
        25:{3,4,6}:{(14,1),(16,1),(39,1)}
        26:{3,4,7}:{(15,1),(17,1),(33,1)}
        27:{1,2,5,6}:{(16,1),(39,1),(41,1)}
        28:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(40,1),(41,1)}
        29:{3,4,5,6}:{(19,1),(42,1),(43,1),(44,1),(54,1),(70,1),(101,1)}
        30:{1,2,3,4,6}:{(21,1),(45,1),(46,1),(52,1),(76,1),(77,1)}
        31:{2,3,5,6}:{(19,1),(23,1),(42,1),(47,1),(48,1),(70,1)}
        32:{1,3,5,6}:{(19,1),(24,1),(43,1),(47,1),(49,1),(70,1)}
        33:{3,5,7}:{(19,1),(20,1),(26,1),(50,1)}
        34:{1,2,4,6,7}:{(20,1),(50,1),(51,1),(72,1),(73,1),(79,1),(80,1)}
        35:{1,2,3,5}:{(21,1),(22,1),(52,1)}
        36:{1,2,4,6}:{(22,1),(23,1),(24,1),(47,1),(52,1),(53,1)}
        37:{2,3,4,7}:{(23,1),(26,1),(48,1),(53,1),(92,1)}
        38:{1,3,4,7}:{(24,1),(26,1),(49,1),(53,1),(92,1)}
        39:{3,5,6}:{(25,1),(27,1),(54,1),(55,1)}
        40:{3,4,6,7}:{(25,1),(26,1),(28,1),(50,1),(55,1),(80,1)}
        41:{1,2,5,7}:{(27,1),(28,1),(55,1)}
        42:{2,4,5,6}:{(29,1),(31,1),(57,1)}
        43:{1,4,5,6}:{(29,1),(32,1),(58,1)}
        44:{3,4,5,7}:{(29,1),(33,1),(57,1),(58,1),(59,1),(68,1),(83,1),(104,1)}
        45:{1,2,3,4,7}:{(30,1),(61,1),(67,1),(89,1)}
        46:{1,2,3,5}:{(30,1),(60,1)}
        47:{1,2,5,6}:{(31,1),(32,1),(36,1),(63,1)}
        48:{2,3,5,7}:{(31,1),(33,1),(37,1),(57,1),(63,1),(64,1),(83,1)}
        49:{1,3,5,7}:{(32,1),(33,1),(38,1),(58,1),(63,1),(65,1),(83,1)}
        50:{3,6,7}:{(33,1),(34,1)}
        51:{1,2,5,6,7}:{(34,1),(41,1),(66,1),(85,1),(86,1)}
        52:{1,2,3,6}:{(35,1),(36,1),(67,1)}
        53:{1,2,4,7}:{(36,1),(37,1),(38,1),(63,1),(67,1)}
        54:{4,5,6}:{(39,1),(68,1)}
        55:{3,5,7}:{(39,1),(40,1),(41,1),(68,1)}
        56:{1,2,4,5,6}:{(42,1),(43,1),(47,1),(70,1),(71,1),(76,1),(95,1),(101,1)}
        57:{2,4,5,7}:{(42,1),(44,1),(48,1),(72,1)}
        58:{1,4,5,7}:{(43,1),(44,1),(49,1),(73,1)}
        59:{3,4,6,7}:{(44,1),(50,1),(72,1),(73,1),(74,1),(80,1),(93,1),(103,1)}
        60:{1,2,4,5}:{(46,1),(69,1),(76,1)}
        61:{1,2,3,5,7}:{(45,1),(46,1),(75,1),(77,1)}
        62:{1,2,3,5,6}:{(46,1),(47,1),(52,1),(70,1),(76,1),(77,1),(78,1),(95,1)}
        63:{1,2,5,7}:{(47,1),(48,1),(49,1),(53,1),(79,1)}
        64:{2,3,6,7}:{(48,1),(50,1),(72,1),(79,1),(93,1)}
        65:{1,3,6,7}:{(49,1),(50,1),(73,1),(79,1),(93,1)}
        66:{3,5,6,7}:{(50,1),(51,1),(55,1),(80,1)}
        67:{1,2,3,7}:{(52,1),(53,1)}
        68:{4,5,7}:{(54,1),(55,1),(80,1)}
        69:{3,4,5}:{(60,1),(82,1)}
        70:{3,5,6}:{(56,1),(82,1),(83,1)}
        71:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(63,1),(83,1),(84,1),(89,1),(100,1),(104,1)}
        72:{2,4,6,7}:{(57,1),(59,1),(64,1),(85,1)}
        73:{1,4,6,7}:{(58,1),(59,1),(65,1),(86,1)}
        74:{3,5,6,7}:{(59,1),(85,1),(86,1),(87,1)}
        75:{1,2,4,5,7}:{(60,1),(61,1),(81,1),(88,1),(89,1),(100,1)}
        76:{1,2,4,6}:{(60,1),(62,1),(82,1),(89,1)}
        77:{1,2,3,6}:{(61,1),(88,1)}
        78:{1,2,3,5,7}:{(62,1),(63,1),(67,1),(83,1),(89,1),(90,1),(100,1)}
        79:{1,2,6,7}:{(63,1),(64,1),(65,1)}
        80:{4,6,7}:{(66,1),(68,1)}
        81:{3,4,5,7}:{(69,1),(75,1),(91,1),(92,1),(102,1)}
        82:{3,4,6}:{(69,1),(70,1),(76,1),(92,1)}
        83:{3,5,7}:{(70,1),(71,1),(92,1),(93,1)}
        84:{1,2,4,6,7}:{(71,1),(72,1),(73,1),(79,1),(93,1),(94,1),(103,1)}
        85:{2,5,6,7}:{(72,1),(74,1)}
        86:{1,5,6,7}:{(73,1),(74,1)}
        87:{4,5,6,7}:{(74,1),(80,1),(103,1)}
        88:{1,2,4,6}:{(75,1),(77,1),(91,1),(95,1)}
        89:{1,2,4,7}:{(76,1),(78,1),(92,1)}
        90:{1,2,3,6,7}:{(77,1),(78,1),(79,1),(93,1),(96,1)}
        91:{3,4,6}:{(81,1),(88,1),(97,1)}
        92:{3,4,7}:{(82,1),(83,1),(89,1)}
        93:{3,6,7}:{(83,1),(84,1)}
        94:{1,2,5,6,7}:{(84,1),(85,1),(86,1),(99,1),(100,1)}
        95:{1,2,5,6}:{(88,1),(97,1),(100,1)}
        96:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(98,1),(100,1)}
        97:{3,5,6}:{(91,1),(95,1),(101,1),(102,1)}
        98:{3,4,6,7}:{(91,1),(92,1),(93,1),(96,1),(102,1),(103,1)}
        99:{3,5,6,7}:{(93,1),(94,1),(102,1),(103,1)}
       100:{1,2,5,7}:{(95,1),(96,1),(102,1)}
       101:{4,5,6}:{(97,1),(104,1)}
       102:{3,5,7}:{(97,1),(98,1),(100,1),(104,1)}
       103:{4,6,7}:{(99,1),(104,1)}
       104:{4,5,7}:{(101,1),(102,1),(103,1)}

1567 :   0:{1,2,3,4,7}:{(1,1),(2,1),(24,1),(70,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(15,1),(30,1),(57,1)}
         2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1)}
         3:{1,2,4,5,7}:{(2,1),(6,1),(7,1),(8,1),(20,1),(24,1)}
         4:{1,2,3,5}:{(1,1),(8,1)}
         5:{1,2,3,6}:{(2,1),(7,1)}
         6:{3,4,5,7}:{(3,1),(11,1),(14,1),(26,1),(34,1)}
         7:{1,2,4,6}:{(3,1),(5,1),(11,1),(12,1)}
         8:{1,2,4,5}:{(4,1),(14,1),(15,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(16,1),(28,1),(54,1),(57,1)}
        10:{1,2,3,6,7}:{(5,1),(13,1),(16,1),(52,1),(79,1)}
        11:{3,4,6}:{(6,1),(7,1),(17,1)}
        12:{1,2,5,6}:{(7,1),(17,1),(20,1)}
        13:{1,2,4,6,7}:{(7,1),(10,1),(18,1),(20,1),(24,1)}
        14:{3,4,5}:{(8,1),(23,1)}
        15:{1,2,4,6}:{(8,1),(9,1),(23,1),(24,1)}
        16:{1,2,3,5,7}:{(9,1),(10,1),(20,1),(24,1),(42,1),(69,1),(70,1)}
        17:{3,5,6}:{(11,1),(12,1),(25,1),(26,1)}
        18:{3,4,6,7}:{(11,1),(13,1),(26,1),(34,1),(47,1),(52,1)}
        19:{1,2,4,5,6}:{(12,1),(15,1),(25,1),(28,1),(29,1),(48,1),(49,1),(54,1)}
        20:{1,2,5,7}:{(12,1),(13,1),(26,1)}
        21:{2,3,4,5}:{(14,1),(31,1),(32,1),(74,1)}
        22:{1,3,4,5}:{(14,1),(31,1),(33,1),(74,1)}
        23:{3,4,6}:{(14,1),(15,1),(28,1),(34,1)}
        24:{1,2,4,7}:{(15,1),(16,1),(34,1)}
        25:{4,5,6}:{(17,1),(37,1)}
        26:{3,5,7}:{(17,1),(18,1),(20,1),(37,1)}
        27:{1,2,5,6,7}:{(20,1),(35,1),(38,1),(82,1),(83,1)}
        28:{3,5,6}:{(19,1),(23,1),(42,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(24,1),(37,1),(38,1),(42,1),(62,1),(63,1),(69,1)}
        30:{1,2,3,4}:{(43,1)}
        31:{1,2,4,5}:{(21,1),(22,1),(43,1),(44,1)}
        32:{2,3,4,6}:{(21,1),(23,1),(40,1),(44,1),(45,1),(86,1)}
        33:{1,3,4,6}:{(22,1),(23,1),(41,1),(44,1),(46,1),(86,1)}
        34:{3,4,7}:{(23,1),(24,1),(42,1)}
        35:{3,5,6,7}:{(26,1),(27,1),(47,1),(52,1)}
        36:{3,4,5,6}:{(25,1),(28,1),(48,1),(49,1),(50,1),(75,1),(101,1)}
        37:{4,5,7}:{(25,1),(26,1),(47,1)}
        38:{1,2,4,6,7}:{(27,1),(29,1),(47,1),(52,1),(72,1),(73,1),(79,1)}
        39:{1,2,3,4,6}:{(30,1),(51,1),(53,1),(57,1),(78,1),(80,1)}
        40:{2,3,5,6}:{(28,1),(32,1),(48,1),(54,1),(55,1),(75,1)}
        41:{1,3,5,6}:{(28,1),(33,1),(49,1),(54,1),(56,1),(75,1)}
        42:{3,5,7}:{(28,1),(29,1),(34,1),(52,1)}
        43:{1,2,3,5}:{(30,1),(31,1),(57,1)}
        44:{1,2,4,6}:{(31,1),(32,1),(33,1),(54,1),(57,1),(58,1)}
        45:{2,3,4,7}:{(32,1),(34,1),(55,1),(58,1),(94,1)}
        46:{1,3,4,7}:{(33,1),(34,1),(56,1),(58,1),(94,1)}
        47:{4,6,7}:{(35,1),(37,1)}
        48:{2,4,5,6}:{(36,1),(40,1),(62,1)}
        49:{1,4,5,6}:{(36,1),(41,1),(63,1)}
        50:{3,4,5,7}:{(36,1),(37,1),(42,1),(60,1),(62,1),(63,1),(87,1),(104,1)}
        51:{1,2,3,4,7}:{(39,1),(64,1),(70,1),(90,1)}
        52:{3,6,7}:{(38,1),(42,1)}
        53:{1,2,3,5}:{(39,1),(67,1)}
        54:{1,2,5,6}:{(40,1),(41,1),(44,1),(69,1)}
        55:{2,3,5,7}:{(40,1),(42,1),(45,1),(62,1),(65,1),(69,1),(87,1)}
        56:{1,3,5,7}:{(41,1),(42,1),(46,1),(63,1),(66,1),(69,1),(87,1)}
        57:{1,2,3,6}:{(43,1),(44,1),(70,1)}
        58:{1,2,4,7}:{(44,1),(45,1),(46,1),(69,1),(70,1)}
        59:{4,5,6,7}:{(47,1),(71,1),(102,1)}
        60:{3,4,6,7}:{(47,1),(50,1),(52,1),(71,1),(72,1),(73,1),(93,1),(102,1)}
        61:{1,2,4,5,6}:{(48,1),(49,1),(54,1),(75,1),(76,1),(80,1),(95,1),(101,1)}
        62:{2,4,5,7}:{(48,1),(50,1),(55,1),(72,1)}
        63:{1,4,5,7}:{(49,1),(50,1),(56,1),(73,1)}
        64:{1,2,3,5,7}:{(51,1),(53,1),(77,1),(78,1)}
        65:{2,3,6,7}:{(52,1),(55,1),(72,1),(79,1),(93,1)}
        66:{1,3,6,7}:{(52,1),(56,1),(73,1),(79,1),(93,1)}
        67:{1,2,4,5}:{(53,1),(74,1),(80,1)}
        68:{1,2,3,5,6}:{(53,1),(54,1),(57,1),(75,1),(78,1),(80,1),(81,1),(95,1)}
        69:{1,2,5,7}:{(54,1),(55,1),(56,1),(58,1),(79,1)}
        70:{1,2,3,7}:{(57,1),(58,1)}
        71:{3,5,6,7}:{(59,1),(60,1),(82,1),(83,1)}
        72:{2,4,6,7}:{(60,1),(62,1),(65,1),(82,1)}
        73:{1,4,6,7}:{(60,1),(63,1),(66,1),(83,1)}
        74:{3,4,5}:{(67,1),(86,1)}
        75:{3,5,6}:{(61,1),(86,1),(87,1)}
        76:{1,2,4,5,7}:{(61,1),(62,1),(63,1),(69,1),(85,1),(87,1),(90,1),(100,1),(104,1)}
        77:{1,2,4,5,7}:{(64,1),(67,1),(84,1),(88,1),(90,1),(100,1)}
        78:{1,2,3,6}:{(64,1),(88,1)}
        79:{1,2,6,7}:{(65,1),(66,1),(69,1)}
        80:{1,2,4,6}:{(67,1),(68,1),(86,1),(90,1)}
        81:{1,2,3,5,7}:{(68,1),(69,1),(70,1),(87,1),(89,1),(90,1),(100,1)}
        82:{2,5,6,7}:{(71,1),(72,1)}
        83:{1,5,6,7}:{(71,1),(73,1)}
        84:{3,4,5,7}:{(74,1),(77,1),(92,1),(94,1),(103,1)}
        85:{1,2,4,6,7}:{(72,1),(73,1),(76,1),(79,1),(91,1),(93,1),(102,1)}
        86:{3,4,6}:{(74,1),(75,1),(80,1),(94,1)}
        87:{3,5,7}:{(75,1),(76,1),(93,1),(94,1)}
        88:{1,2,4,6}:{(77,1),(78,1),(92,1),(95,1)}
        89:{1,2,3,6,7}:{(78,1),(79,1),(81,1),(93,1),(96,1)}
        90:{1,2,4,7}:{(80,1),(81,1),(94,1)}
        91:{1,2,5,6,7}:{(82,1),(83,1),(85,1),(97,1),(100,1)}
        92:{3,4,6}:{(84,1),(88,1),(98,1)}
        93:{3,6,7}:{(85,1),(87,1)}
        94:{3,4,7}:{(86,1),(87,1),(90,1)}
        95:{1,2,5,6}:{(88,1),(98,1),(100,1)}
        96:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(99,1),(100,1)}
        97:{3,5,6,7}:{(91,1),(93,1),(102,1),(103,1)}
        98:{3,5,6}:{(92,1),(95,1),(101,1),(103,1)}
        99:{3,4,6,7}:{(92,1),(93,1),(94,1),(96,1),(102,1),(103,1)}
       100:{1,2,5,7}:{(95,1),(96,1),(103,1)}
       101:{4,5,6}:{(98,1),(104,1)}
       102:{4,6,7}:{(97,1),(104,1)}
       103:{3,5,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{4,5,7}:{(101,1),(102,1),(103,1)}

1568 :   0:{1,2,3,6,7}:{(3,1),(4,1),(40,1),(48,1),(83,1),(84,1),(85,1),(104,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(15,1),(19,1),(41,1),(48,1),(53,1),(84,1),(99,1),(104,1)}
         2:{1,3,4,6,7}:{(4,1),(6,1),(15,1),(22,1),(42,1),(48,1),(57,1),(85,1),(100,1),(104,1)}
         3:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(26,1),(29,1),(58,1),(65,1),(94,1),(95,1)}
         4:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(30,1),(60,1),(71,1),(74,1),(96,1),(103,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(10,1),(11,1),(29,1),(61,1),(70,1)}
         6:{1,3,5,7}:{(2,1),(9,1),(12,1),(13,1),(29,1),(62,1),(73,1)}
         7:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(40,1),(43,1),(48,1),(79,1),(80,1),(81,1),(83,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(75,1),(99,1),(100,1)}
         9:{1,2,5,7}:{(4,1),(5,1),(6,1),(17,1),(79,1),(86,1),(87,1)}
        10:{2,4,5,7}:{(5,1),(18,1),(19,1),(76,1),(99,1)}
        11:{2,3,5,6}:{(5,1),(17,1),(19,1),(48,1),(50,1)}
        12:{1,4,5,7}:{(6,1),(21,1),(22,1),(77,1),(100,1)}
        13:{1,3,5,6}:{(6,1),(17,1),(22,1),(48,1),(54,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(90,1),(91,1)}
        15:{3,4,7}:{(8,1),(24,1),(29,1),(88,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(12,1),(25,1),(29,1),(30,1),(33,1),(37,1),(65,1),(89,1),(103,1)}
        17:{1,2,5,6}:{(9,1),(11,1),(13,1),(30,1),(69,1),(72,1)}
        18:{3,4,5,7}:{(10,1),(29,1),(33,1),(34,1),(59,1),(70,1),(92,1)}
        19:{2,4,6}:{(10,1),(11,1),(34,1)}
        20:{2,3,5,6,7}:{(11,1),(31,1),(35,1),(68,1),(70,1),(94,1)}
        21:{3,4,5,7}:{(12,1),(29,1),(37,1),(38,1),(59,1),(73,1),(92,1)}
        22:{1,4,6}:{(12,1),(13,1),(38,1)}
        23:{1,3,5,6,7}:{(13,1),(31,1),(39,1),(68,1),(73,1),(95,1)}
        24:{3,4,6}:{(14,1),(15,1),(43,1),(48,1)}
        25:{1,2,4,5}:{(14,1),(43,1),(76,1),(77,1),(79,1)}
        26:{1,2,3,7}:{(40,1),(45,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(41,1),(45,1),(46,1),(99,1),(104,1)}
        28:{1,3,4,7}:{(15,1),(42,1),(45,1),(47,1),(100,1),(104,1)}
        29:{3,5,7}:{(15,1),(16,1),(43,1),(48,1),(97,1),(104,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(19,1),(22,1),(48,1),(52,1),(56,1),(83,1)}
        31:{1,2,5,6,7}:{(17,1),(20,1),(23,1),(49,1),(86,1),(87,1),(101,1)}
        32:{2,4,5,6}:{(19,1),(50,1),(51,1)}
        33:{1,4,5,7}:{(18,1),(47,1),(52,1),(77,1),(86,1),(100,1)}
        34:{3,4,6}:{(18,1),(19,1),(48,1),(50,1),(52,1)}
        35:{2,4,6,7}:{(19,1),(20,1),(51,1),(53,1),(99,1)}
        36:{1,4,5,6}:{(22,1),(54,1),(55,1)}
        37:{2,4,5,7}:{(21,1),(46,1),(56,1),(76,1),(87,1),(99,1)}
        38:{3,4,6}:{(21,1),(22,1),(48,1),(54,1),(56,1)}
        39:{1,4,6,7}:{(22,1),(23,1),(55,1),(57,1),(100,1)}
        40:{1,2,3,6}:{(26,1),(58,1),(60,1),(102,1)}
        41:{2,3,4,6}:{(24,1),(27,1),(60,1),(61,1),(66,1),(88,1),(90,1),(102,1)}
        42:{1,3,4,6}:{(24,1),(28,1),(60,1),(62,1),(67,1),(88,1),(91,1),(102,1)}
        43:{3,5}:{(24,1),(25,1)}
        44:{1,2,4,5,6}:{(25,1),(30,1),(32,1),(36,1),(63,1),(64,1),(69,1),(72,1),(90,1),(91,1),(93,1)}
        45:{1,2,4,7}:{(26,1),(27,1),(28,1),(60,1),(65,1)}
        46:{2,3,5,7}:{(27,1),(29,1),(37,1),(61,1),(65,1),(66,1)}
        47:{1,3,5,7}:{(28,1),(29,1),(33,1),(62,1),(65,1),(67,1)}
        48:{3,6}:{(29,1),(30,1)}
        49:{1,2,4,6,7}:{(30,1),(31,1),(35,1),(39,1),(64,1),(68,1),(71,1),(74,1),(96,1),(103,1)}
        50:{3,5,6}:{(32,1),(34,1),(69,1),(70,1)}
        51:{2,4,5,7}:{(32,1),(35,1),(70,1)}
        52:{1,4,6}:{(33,1),(34,1),(67,1),(69,1)}
        53:{3,4,6,7}:{(34,1),(35,1),(68,1),(70,1),(71,1),(92,1)}
        54:{3,5,6}:{(36,1),(38,1),(72,1),(73,1)}
        55:{1,4,5,7}:{(36,1),(39,1),(73,1)}
        56:{2,4,6}:{(37,1),(38,1),(66,1),(72,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(68,1),(73,1),(74,1),(92,1)}
        58:{1,2,3,5}:{(40,1),(75,1),(79,1),(97,1)}
        59:{3,4,5}:{(43,1),(76,1),(77,1),(78,1),(97,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(42,1),(45,1),(75,1),(79,1),(83,1)}
        61:{2,3,5}:{(41,1),(43,1),(76,1),(79,1),(97,1)}
        62:{1,3,5}:{(42,1),(43,1),(77,1),(79,1),(97,1)}
        63:{3,5,6}:{(43,1),(44,1),(48,1),(78,1),(82,1)}
        64:{1,2,4,5,7}:{(44,1),(49,1),(51,1),(55,1),(82,1),(86,1),(87,1),(99,1),(100,1),(101,1)}
        65:{1,2,5,7}:{(45,1),(46,1),(47,1),(79,1),(83,1)}
        66:{2,3,6}:{(46,1),(48,1),(56,1),(83,1)}
        67:{1,3,6}:{(47,1),(48,1),(52,1),(83,1)}
        68:{3,6,7}:{(48,1),(49,1),(82,1),(104,1)}
        69:{1,5,6}:{(50,1),(52,1),(86,1)}
        70:{3,5,7}:{(50,1),(51,1),(53,1),(86,1)}
        71:{1,4,6,7}:{(52,1),(53,1),(85,1),(86,1),(100,1)}
        72:{2,5,6}:{(54,1),(56,1),(87,1)}
        73:{3,5,7}:{(54,1),(55,1),(57,1),(87,1)}
        74:{2,4,6,7}:{(56,1),(57,1),(84,1),(87,1),(99,1)}
        75:{1,2,4}:{(58,1),(88,1)}
        76:{2,4,5}:{(59,1),(61,1),(90,1)}
        77:{1,4,5}:{(59,1),(62,1),(91,1)}
        78:{3,4,6}:{(59,1),(63,1),(90,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(60,1),(61,1),(62,1)}
        80:{2,3,5,6}:{(61,1),(63,1),(66,1),(72,1),(90,1),(93,1),(94,1),(102,1)}
        81:{1,3,5,6}:{(62,1),(63,1),(67,1),(69,1),(91,1),(93,1),(95,1),(102,1)}
        82:{3,5,7}:{(63,1),(64,1),(68,1),(92,1)}
        83:{1,2,6}:{(65,1),(66,1),(67,1)}
        84:{2,3,6,7}:{(66,1),(68,1),(74,1),(94,1),(96,1)}
        85:{1,3,6,7}:{(67,1),(68,1),(71,1),(95,1),(96,1)}
        86:{1,5,7}:{(69,1),(70,1),(71,1)}
        87:{2,5,7}:{(72,1),(73,1),(74,1)}
        88:{3,4}:{(75,1),(97,1)}
        89:{1,2,4,5}:{(75,1),(76,1),(77,1),(79,1),(97,1),(98,1)}
        90:{2,4,6}:{(76,1),(78,1),(80,1),(99,1)}
        91:{1,4,6}:{(77,1),(78,1),(81,1),(100,1)}
        92:{3,4,7}:{(78,1),(82,1),(99,1),(100,1),(104,1)}
        93:{1,2,5,6}:{(79,1),(80,1),(81,1),(83,1),(98,1),(101,1)}
        94:{2,3,5,7}:{(80,1),(82,1),(84,1),(87,1),(99,1),(101,1),(104,1)}
        95:{1,3,5,7}:{(81,1),(82,1),(85,1),(86,1),(100,1),(101,1),(104,1)}
        96:{1,2,6,7}:{(83,1),(84,1),(85,1),(101,1)}
        97:{3,5}:{(88,1),(89,1),(102,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{2,4,7}:{(90,1),(92,1),(94,1)}
       100:{1,4,7}:{(91,1),(92,1),(95,1)}
       101:{1,2,5,7}:{(93,1),(94,1),(95,1),(96,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1569 :   0:{1,2,3,4,6}:{(1,1),(2,1),(6,1),(8,1),(11,1),(25,1)}
         1:{1,2,3,5}:{(0,1),(3,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(19,1),(39,1)}
         3:{1,2,4,5}:{(1,1),(7,1),(8,1)}
         4:{1,2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(25,1),(28,1),(33,1),(57,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(9,1),(11,1)}
         6:{1,2,3,4}:{(13,1)}
         7:{3,4,5}:{(3,1),(16,1)}
         8:{1,2,4,6}:{(3,1),(4,1),(16,1),(19,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(17,1),(19,1),(20,1),(48,1)}
        10:{1,2,3,5,7}:{(4,1),(19,1),(21,1),(39,1),(44,1),(48,1),(74,1)}
        11:{1,2,3,6}:{(5,1),(20,1)}
        12:{1,2,3,4,6}:{(6,1),(22,1),(23,1),(25,1),(50,1),(53,1)}
        13:{1,2,3,5}:{(6,1),(24,1),(25,1)}
        14:{1,3,4,5}:{(7,1),(24,1),(26,1),(49,1)}
        15:{2,3,4,5}:{(7,1),(24,1),(27,1),(49,1)}
        16:{3,4,6}:{(7,1),(8,1),(28,1),(29,1)}
        17:{3,4,5,7}:{(7,1),(9,1),(29,1),(30,1),(62,1)}
        18:{1,2,4,5,6}:{(8,1),(28,1),(31,1),(33,1),(54,1),(55,1),(57,1),(63,1)}
        19:{1,2,4,7}:{(8,1),(10,1),(29,1)}
        20:{1,2,4,6}:{(9,1),(11,1),(30,1),(33,1)}
        21:{1,2,3,6,7}:{(10,1),(11,1),(32,1),(61,1),(88,1)}
        22:{1,2,3,5}:{(12,1),(34,1)}
        23:{1,2,3,4,7}:{(12,1),(36,1),(39,1),(68,1)}
        24:{1,2,4,5}:{(13,1),(14,1),(15,1),(38,1)}
        25:{1,2,3,6}:{(13,1),(38,1),(39,1)}
        26:{1,3,4,6}:{(14,1),(16,1),(38,1),(40,1),(41,1),(65,1)}
        27:{2,3,4,6}:{(15,1),(16,1),(38,1),(42,1),(43,1),(65,1)}
        28:{3,5,6}:{(16,1),(18,1),(44,1)}
        29:{3,4,7}:{(16,1),(19,1),(44,1)}
        30:{3,4,6}:{(17,1),(20,1),(46,1)}
        31:{1,2,4,5,7}:{(18,1),(19,1),(44,1),(47,1),(48,1),(71,1),(72,1),(74,1),(78,1)}
        32:{1,2,4,6,7}:{(19,1),(20,1),(21,1),(45,1),(48,1)}
        33:{1,2,5,6}:{(20,1),(46,1),(48,1)}
        34:{1,2,4,5}:{(22,1),(49,1),(50,1)}
        35:{1,2,3,5,6}:{(22,1),(25,1),(50,1),(52,1),(53,1),(57,1),(79,1),(84,1)}
        36:{1,2,3,5,7}:{(22,1),(23,1),(51,1),(53,1)}
        37:{3,4,5,6}:{(28,1),(54,1),(55,1),(56,1),(63,1),(79,1),(100,1)}
        38:{1,2,4,6}:{(24,1),(25,1),(26,1),(27,1),(57,1),(58,1)}
        39:{1,2,3,7}:{(25,1),(58,1)}
        40:{1,3,5,6}:{(26,1),(28,1),(54,1),(57,1),(59,1),(79,1)}
        41:{1,3,4,7}:{(26,1),(29,1),(58,1),(59,1),(80,1)}
        42:{2,3,5,6}:{(27,1),(28,1),(55,1),(57,1),(60,1),(79,1)}
        43:{2,3,4,7}:{(27,1),(29,1),(58,1),(60,1),(80,1)}
        44:{3,5,7}:{(28,1),(29,1),(31,1),(61,1)}
        45:{3,4,6,7}:{(29,1),(30,1),(32,1),(61,1),(62,1),(89,1)}
        46:{3,5,6}:{(30,1),(33,1),(62,1),(63,1)}
        47:{1,2,4,6,7}:{(31,1),(61,1),(64,1),(85,1),(86,1),(88,1),(89,1)}
        48:{1,2,5,7}:{(32,1),(33,1),(62,1)}
        49:{3,4,5}:{(34,1),(65,1)}
        50:{1,2,4,6}:{(34,1),(35,1),(65,1),(68,1)}
        51:{1,2,4,5,7}:{(34,1),(36,1),(66,1),(68,1),(69,1),(94,1)}
        52:{1,2,3,5,7}:{(35,1),(39,1),(68,1),(70,1),(74,1),(90,1),(94,1)}
        53:{1,2,3,6}:{(36,1),(69,1)}
        54:{1,4,5,6}:{(37,1),(40,1),(71,1)}
        55:{2,4,5,6}:{(37,1),(42,1),(72,1)}
        56:{3,4,5,7}:{(37,1),(44,1),(71,1),(72,1),(73,1),(78,1),(90,1),(103,1)}
        57:{1,2,5,6}:{(38,1),(40,1),(42,1),(74,1)}
        58:{1,2,4,7}:{(38,1),(39,1),(41,1),(43,1),(74,1)}
        59:{1,3,5,7}:{(40,1),(41,1),(44,1),(71,1),(74,1),(75,1),(90,1)}
        60:{2,3,5,7}:{(42,1),(43,1),(44,1),(72,1),(74,1),(76,1),(90,1)}
        61:{3,6,7}:{(44,1),(47,1)}
        62:{3,5,7}:{(45,1),(46,1),(48,1),(78,1)}
        63:{4,5,6}:{(46,1),(78,1)}
        64:{1,2,5,6,7}:{(47,1),(48,1),(77,1),(95,1),(96,1)}
        65:{3,4,6}:{(49,1),(50,1),(79,1),(80,1)}
        66:{3,4,5,7}:{(49,1),(51,1),(80,1),(81,1),(99,1)}
        67:{1,2,4,5,6}:{(50,1),(54,1),(55,1),(57,1),(79,1),(82,1),(84,1),(100,1)}
        68:{1,2,4,7}:{(50,1),(52,1),(80,1)}
        69:{1,2,4,6}:{(51,1),(53,1),(81,1),(84,1)}
        70:{1,2,3,6,7}:{(52,1),(53,1),(83,1),(88,1),(98,1)}
        71:{1,4,5,7}:{(54,1),(56,1),(59,1),(85,1)}
        72:{2,4,5,7}:{(55,1),(56,1),(60,1),(86,1)}
        73:{3,4,6,7}:{(56,1),(61,1),(85,1),(86,1),(87,1),(89,1),(98,1),(104,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(60,1),(88,1)}
        75:{1,3,6,7}:{(59,1),(61,1),(85,1),(88,1),(98,1)}
        76:{2,3,6,7}:{(60,1),(61,1),(86,1),(88,1),(98,1)}
        77:{3,5,6,7}:{(61,1),(62,1),(64,1),(89,1)}
        78:{4,5,7}:{(62,1),(63,1),(89,1)}
        79:{3,5,6}:{(65,1),(67,1),(90,1)}
        80:{3,4,7}:{(65,1),(68,1),(90,1)}
        81:{3,4,6}:{(66,1),(69,1),(92,1)}
        82:{1,2,4,5,7}:{(67,1),(68,1),(71,1),(72,1),(74,1),(90,1),(93,1),(94,1),(103,1)}
        83:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(91,1),(94,1)}
        84:{1,2,5,6}:{(69,1),(92,1),(94,1)}
        85:{1,4,6,7}:{(71,1),(73,1),(75,1),(95,1)}
        86:{2,4,6,7}:{(72,1),(73,1),(76,1),(96,1)}
        87:{3,5,6,7}:{(73,1),(95,1),(96,1),(97,1)}
        88:{1,2,6,7}:{(74,1),(75,1),(76,1)}
        89:{4,6,7}:{(77,1),(78,1)}
        90:{3,5,7}:{(79,1),(80,1),(82,1),(98,1)}
        91:{3,4,6,7}:{(80,1),(81,1),(83,1),(98,1),(99,1),(104,1)}
        92:{3,5,6}:{(81,1),(84,1),(99,1),(100,1)}
        93:{1,2,4,6,7}:{(82,1),(85,1),(86,1),(88,1),(98,1),(101,1),(104,1)}
        94:{1,2,5,7}:{(83,1),(84,1),(99,1)}
        95:{1,5,6,7}:{(85,1),(87,1)}
        96:{2,5,6,7}:{(86,1),(87,1)}
        97:{4,5,6,7}:{(87,1),(89,1),(104,1)}
        98:{3,6,7}:{(90,1),(93,1)}
        99:{3,5,7}:{(91,1),(92,1),(94,1),(103,1)}
       100:{4,5,6}:{(92,1),(103,1)}
       101:{1,2,5,6,7}:{(93,1),(94,1),(95,1),(96,1),(102,1)}
       102:{3,5,6,7}:{(98,1),(99,1),(101,1),(104,1)}
       103:{4,5,7}:{(99,1),(100,1),(104,1)}
       104:{4,6,7}:{(102,1),(103,1)}

1570 :   0:{1,2,3,6,7}:{(3,1),(4,1),(48,1),(80,1),(83,1),(84,1),(85,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(42,1),(48,1),(52,1),(84,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(48,1),(54,1),(83,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(29,1),(61,1),(71,1),(72,1),(94,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(30,1),(69,1),(70,1),(90,1),(91,1),(93,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(11,1),(30,1),(60,1),(62,1)}
         6:{1,3,5,7}:{(2,1),(8,1),(12,1),(13,1),(30,1),(59,1),(64,1)}
         7:{1,2,3,5,6}:{(4,1),(14,1),(15,1),(40,1),(48,1),(77,1),(78,1),(79,1),(80,1),(85,1)}
         8:{1,2,5,7}:{(3,1),(5,1),(6,1),(15,1),(79,1),(81,1),(82,1)}
         9:{1,2,4,7}:{(4,1),(14,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(15,1),(19,1),(44,1),(48,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(75,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(15,1),(22,1),(46,1),(48,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(74,1),(95,1)}
        14:{1,2,4,6}:{(7,1),(9,1),(24,1),(25,1),(87,1),(88,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(12,1),(29,1),(63,1),(65,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(11,1),(13,1),(24,1),(29,1),(30,1),(35,1),(38,1),(69,1),(89,1),(101,1)}
        17:{3,4,7}:{(9,1),(25,1),(30,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(28,1),(33,1),(62,1),(66,1),(91,1)}
        19:{2,4,6}:{(10,1),(11,1),(34,1)}
        20:{3,4,5,7}:{(11,1),(30,1),(34,1),(35,1),(56,1),(62,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(28,1),(36,1),(64,1),(66,1),(90,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(30,1),(37,1),(38,1),(56,1),(64,1),(86,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(74,1),(75,1),(79,1)}
        25:{3,4,6}:{(14,1),(17,1),(40,1),(48,1)}
        26:{2,4,5,6}:{(19,1),(43,1),(44,1)}
        27:{1,4,5,6}:{(22,1),(45,1),(46,1)}
        28:{1,2,5,6,7}:{(15,1),(18,1),(21,1),(47,1),(81,1),(82,1),(99,1)}
        29:{1,2,4,6}:{(15,1),(16,1),(19,1),(22,1),(48,1),(53,1),(55,1),(85,1)}
        30:{3,5,7}:{(16,1),(17,1),(40,1),(48,1),(98,1),(104,1)}
        31:{1,3,4,7}:{(17,1),(41,1),(49,1),(51,1),(95,1),(104,1)}
        32:{2,3,4,7}:{(17,1),(42,1),(50,1),(51,1),(96,1),(104,1)}
        33:{2,4,6,7}:{(18,1),(19,1),(43,1),(52,1),(96,1)}
        34:{3,4,6}:{(19,1),(20,1),(44,1),(48,1),(53,1)}
        35:{1,4,5,7}:{(20,1),(49,1),(53,1),(74,1),(81,1),(95,1)}
        36:{1,4,6,7}:{(21,1),(22,1),(45,1),(54,1),(95,1)}
        37:{3,4,6}:{(22,1),(23,1),(46,1),(48,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(50,1),(55,1),(75,1),(82,1),(96,1)}
        39:{1,2,4,5,6}:{(24,1),(26,1),(27,1),(29,1),(57,1),(58,1),(63,1),(65,1),(87,1),(88,1),(92,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(31,1),(59,1),(61,1),(67,1),(87,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(32,1),(60,1),(61,1),(68,1),(88,1),(102,1),(103,1)}
        43:{2,4,5,7}:{(26,1),(33,1),(62,1)}
        44:{3,5,6}:{(26,1),(34,1),(62,1),(63,1)}
        45:{1,4,5,7}:{(27,1),(36,1),(64,1)}
        46:{3,5,6}:{(27,1),(37,1),(64,1),(65,1)}
        47:{1,2,4,6,7}:{(28,1),(29,1),(33,1),(36,1),(57,1),(66,1),(71,1),(72,1),(94,1),(101,1)}
        48:{3,6}:{(29,1),(30,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(35,1),(59,1),(67,1),(69,1)}
        50:{2,3,5,7}:{(30,1),(32,1),(38,1),(60,1),(68,1),(69,1)}
        51:{1,2,4,7}:{(31,1),(32,1),(61,1),(69,1),(70,1)}
        52:{3,4,6,7}:{(33,1),(34,1),(62,1),(66,1),(71,1),(86,1)}
        53:{1,4,6}:{(34,1),(35,1),(63,1),(67,1)}
        54:{3,4,6,7}:{(36,1),(37,1),(64,1),(66,1),(72,1),(86,1)}
        55:{2,4,6}:{(37,1),(38,1),(65,1),(68,1)}
        56:{3,4,5}:{(40,1),(73,1),(74,1),(75,1),(98,1)}
        57:{1,2,4,5,7}:{(39,1),(43,1),(45,1),(47,1),(76,1),(81,1),(82,1),(95,1),(96,1),(99,1)}
        58:{3,5,6}:{(39,1),(40,1),(48,1),(73,1),(76,1)}
        59:{1,3,5}:{(40,1),(41,1),(74,1),(79,1),(98,1)}
        60:{2,3,5}:{(40,1),(42,1),(75,1),(79,1),(98,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(51,1),(79,1),(80,1),(85,1),(100,1)}
        62:{3,5,7}:{(43,1),(44,1),(52,1),(81,1)}
        63:{1,5,6}:{(44,1),(53,1),(81,1)}
        64:{3,5,7}:{(45,1),(46,1),(54,1),(82,1)}
        65:{2,5,6}:{(46,1),(55,1),(82,1)}
        66:{3,6,7}:{(47,1),(48,1),(76,1),(104,1)}
        67:{1,3,6}:{(48,1),(49,1),(53,1),(85,1)}
        68:{2,3,6}:{(48,1),(50,1),(55,1),(85,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(85,1)}
        70:{1,2,3,7}:{(51,1),(80,1),(104,1)}
        71:{1,4,6,7}:{(52,1),(53,1),(81,1),(83,1),(95,1)}
        72:{2,4,6,7}:{(54,1),(55,1),(82,1),(84,1),(96,1)}
        73:{3,4,6}:{(56,1),(58,1),(86,1),(87,1),(88,1),(102,1)}
        74:{1,4,5}:{(56,1),(59,1),(87,1)}
        75:{2,4,5}:{(56,1),(60,1),(88,1)}
        76:{3,5,7}:{(57,1),(58,1),(66,1),(86,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(67,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(65,1),(68,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(70,1),(93,1),(102,1)}
        81:{1,5,7}:{(62,1),(63,1),(71,1)}
        82:{2,5,7}:{(64,1),(65,1),(72,1)}
        83:{1,3,6,7}:{(66,1),(67,1),(71,1),(90,1),(94,1)}
        84:{2,3,6,7}:{(66,1),(68,1),(72,1),(91,1),(94,1)}
        85:{1,2,6}:{(67,1),(68,1),(69,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        88:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(74,1),(75,1),(79,1),(97,1),(98,1),(100,1)}
        90:{1,3,5,7}:{(76,1),(77,1),(81,1),(83,1),(95,1),(99,1),(104,1)}
        91:{2,3,5,7}:{(76,1),(78,1),(82,1),(84,1),(96,1),(99,1),(104,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(85,1),(97,1),(99,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(98,1),(100,1)}
        94:{1,2,6,7}:{(83,1),(84,1),(85,1),(99,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,4,6}:{(87,1),(88,1),(89,1),(92,1),(101,1),(102,1)}
        98:{3,5}:{(89,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(90,1),(91,1),(92,1),(94,1),(101,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1571 :   0:{1,2,3,4,7}:{(1,1),(2,1),(21,1),(65,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1)}
         2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(15,1),(54,1),(55,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(21,1)}
         4:{1,2,3,6}:{(1,1),(7,1)}
         5:{1,2,3,5}:{(2,1),(10,1)}
         6:{3,4,5,7}:{(3,1),(11,1),(16,1),(25,1),(30,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(11,1),(13,1)}
         8:{1,2,3,6,7}:{(4,1),(12,1),(14,1),(49,1),(72,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(15,1),(29,1),(52,1),(54,1)}
        10:{1,2,4,5}:{(5,1),(15,1),(16,1)}
        11:{3,4,6}:{(6,1),(7,1),(18,1)}
        12:{1,2,4,6,7}:{(7,1),(8,1),(17,1),(19,1),(21,1)}
        13:{1,2,5,6}:{(7,1),(18,1),(19,1)}
        14:{1,2,3,5,7}:{(8,1),(9,1),(19,1),(21,1),(38,1),(63,1),(65,1)}
        15:{1,2,4,6}:{(9,1),(10,1),(21,1),(22,1)}
        16:{3,4,5}:{(10,1),(22,1)}
        17:{3,4,6,7}:{(11,1),(12,1),(25,1),(30,1),(45,1),(49,1)}
        18:{3,5,6}:{(11,1),(13,1),(25,1),(26,1)}
        19:{1,2,5,7}:{(12,1),(13,1),(25,1)}
        20:{1,2,4,5,6}:{(13,1),(15,1),(26,1),(28,1),(29,1),(47,1),(48,1),(52,1)}
        21:{1,2,4,7}:{(14,1),(15,1),(30,1)}
        22:{3,4,6}:{(15,1),(16,1),(29,1),(30,1)}
        23:{1,3,4,5}:{(16,1),(31,1),(33,1),(89,1)}
        24:{2,3,4,5}:{(16,1),(32,1),(33,1),(89,1)}
        25:{3,5,7}:{(17,1),(18,1),(19,1),(35,1)}
        26:{4,5,6}:{(18,1),(35,1)}
        27:{1,2,5,6,7}:{(19,1),(34,1),(37,1),(77,1),(78,1)}
        28:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(35,1),(37,1),(38,1),(58,1),(59,1),(63,1)}
        29:{3,5,6}:{(20,1),(22,1),(38,1)}
        30:{3,4,7}:{(21,1),(22,1),(38,1)}
        31:{1,3,4,6}:{(22,1),(23,1),(39,1),(41,1),(43,1),(81,1)}
        32:{2,3,4,6}:{(22,1),(24,1),(40,1),(42,1),(43,1),(81,1)}
        33:{1,2,4,5}:{(23,1),(24,1),(43,1),(44,1)}
        34:{3,5,6,7}:{(25,1),(27,1),(45,1),(49,1)}
        35:{4,5,7}:{(25,1),(26,1),(45,1)}
        36:{3,4,5,6}:{(26,1),(29,1),(46,1),(47,1),(48,1),(71,1),(104,1)}
        37:{1,2,4,6,7}:{(27,1),(28,1),(45,1),(49,1),(68,1),(69,1),(72,1)}
        38:{3,5,7}:{(28,1),(29,1),(30,1),(49,1)}
        39:{1,3,5,6}:{(29,1),(31,1),(47,1),(50,1),(52,1),(71,1)}
        40:{2,3,5,6}:{(29,1),(32,1),(48,1),(51,1),(52,1),(71,1)}
        41:{1,3,4,7}:{(30,1),(31,1),(50,1),(53,1),(88,1)}
        42:{2,3,4,7}:{(30,1),(32,1),(51,1),(53,1),(88,1)}
        43:{1,2,4,6}:{(31,1),(32,1),(33,1),(52,1),(53,1),(54,1)}
        44:{1,2,3,5}:{(33,1),(54,1),(55,1)}
        45:{4,6,7}:{(34,1),(35,1)}
        46:{3,4,5,7}:{(35,1),(36,1),(38,1),(57,1),(58,1),(59,1),(80,1),(102,1)}
        47:{1,4,5,6}:{(36,1),(39,1),(58,1)}
        48:{2,4,5,6}:{(36,1),(40,1),(59,1)}
        49:{3,6,7}:{(37,1),(38,1)}
        50:{1,3,5,7}:{(38,1),(39,1),(41,1),(58,1),(61,1),(63,1),(80,1)}
        51:{2,3,5,7}:{(38,1),(40,1),(42,1),(59,1),(62,1),(63,1),(80,1)}
        52:{1,2,5,6}:{(39,1),(40,1),(43,1),(63,1)}
        53:{1,2,4,7}:{(41,1),(42,1),(43,1),(63,1),(65,1)}
        54:{1,2,3,6}:{(43,1),(44,1),(65,1)}
        55:{1,2,3,4}:{(44,1)}
        56:{4,5,6,7}:{(45,1),(67,1),(98,1)}
        57:{3,4,6,7}:{(45,1),(46,1),(49,1),(67,1),(68,1),(69,1),(87,1),(98,1)}
        58:{1,4,5,7}:{(46,1),(47,1),(50,1),(68,1)}
        59:{2,4,5,7}:{(46,1),(48,1),(51,1),(69,1)}
        60:{1,2,4,5,6}:{(47,1),(48,1),(52,1),(70,1),(71,1),(74,1),(101,1),(104,1)}
        61:{1,3,6,7}:{(49,1),(50,1),(68,1),(72,1),(87,1)}
        62:{2,3,6,7}:{(49,1),(51,1),(69,1),(72,1),(87,1)}
        63:{1,2,5,7}:{(50,1),(51,1),(52,1),(53,1),(72,1)}
        64:{1,2,3,5,6}:{(52,1),(54,1),(71,1),(73,1),(74,1),(76,1),(92,1),(101,1)}
        65:{1,2,3,7}:{(53,1),(54,1)}
        66:{1,2,3,4,6}:{(54,1),(55,1),(74,1),(75,1),(76,1),(92,1)}
        67:{3,5,6,7}:{(56,1),(57,1),(77,1),(78,1)}
        68:{1,4,6,7}:{(57,1),(58,1),(61,1),(77,1)}
        69:{2,4,6,7}:{(57,1),(59,1),(62,1),(78,1)}
        70:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(63,1),(79,1),(80,1),(83,1),(96,1),(102,1)}
        71:{3,5,6}:{(60,1),(80,1),(81,1)}
        72:{1,2,6,7}:{(61,1),(62,1),(63,1)}
        73:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(80,1),(82,1),(83,1),(96,1)}
        74:{1,2,4,6}:{(64,1),(81,1),(83,1),(84,1)}
        75:{1,2,3,4,7}:{(65,1),(66,1),(83,1),(85,1)}
        76:{1,2,3,5}:{(66,1),(84,1)}
        77:{1,5,6,7}:{(67,1),(68,1)}
        78:{2,5,6,7}:{(67,1),(69,1)}
        79:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(72,1),(86,1),(87,1),(98,1)}
        80:{3,5,7}:{(70,1),(71,1),(87,1),(88,1)}
        81:{3,4,6}:{(71,1),(74,1),(88,1),(89,1)}
        82:{1,2,3,6,7}:{(72,1),(73,1),(87,1),(90,1),(92,1)}
        83:{1,2,4,7}:{(73,1),(74,1),(88,1)}
        84:{1,2,4,5}:{(74,1),(76,1),(89,1)}
        85:{1,2,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,2,5,6,7}:{(77,1),(78,1),(79,1),(93,1),(96,1)}
        87:{3,6,7}:{(79,1),(80,1)}
        88:{3,4,7}:{(80,1),(81,1),(83,1)}
        89:{3,4,5}:{(81,1),(84,1)}
        90:{1,2,4,6,7}:{(82,1),(83,1),(94,1),(96,1),(97,1)}
        91:{1,2,4,5,7}:{(83,1),(84,1),(85,1),(95,1),(96,1),(97,1)}
        92:{1,2,3,6}:{(85,1),(97,1)}
        93:{3,5,6,7}:{(86,1),(87,1),(98,1),(99,1)}
        94:{3,4,6,7}:{(87,1),(88,1),(90,1),(98,1),(99,1),(100,1)}
        95:{3,4,5,7}:{(88,1),(89,1),(91,1),(99,1),(100,1)}
        96:{1,2,5,7}:{(90,1),(99,1),(101,1)}
        97:{1,2,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{4,6,7}:{(93,1),(102,1)}
        99:{3,5,7}:{(94,1),(96,1),(102,1),(103,1)}
       100:{3,4,6}:{(95,1),(97,1),(103,1)}
       101:{1,2,5,6}:{(96,1),(97,1),(103,1)}
       102:{4,5,7}:{(98,1),(99,1),(104,1)}
       103:{3,5,6}:{(99,1),(100,1),(101,1),(104,1)}
       104:{4,5,6}:{(102,1),(103,1)}

1572 :  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:{3,4,5}:{(2,1),(7,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
        6:{1,2,3,7}:{(3,1),(9,1)}
        7:{3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,5,6}:{(5,1),(10,1),(12,1)}
        9:{1,2,4,7}:{(5,1),(6,1),(11,1),(12,1)}
       10:{3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{3,4,7}:{(7,1),(9,1),(14,1)}
       12:{1,2,5,7}:{(8,1),(9,1),(14,1),(15,1)}
       13:{4,5,6}:{(10,1),(16,1)}
       14:{3,5,7}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
       15:{1,2,6,7}:{(12,1),(17,1)}
       16:{4,5,7}:{(13,1),(14,1),(18,1)}
       17:{3,6,7}:{(14,1),(15,1),(18,1)}
       18:{4,6,7}:{(16,1),(17,1),(19,1)}
       19:{5,6,7}:{(18,1)}

1573 :   0:{1,3,4,6,7}:{(1,1),(2,1),(15,1),(19,1),(38,1),(40,1),(47,1),(75,1),(85,1),(111,1),(117,1)}
         1:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(23,1),(24,1),(33,1),(69,1),(103,1),(123,1)}
         2:{1,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(25,1),(32,1),(92,1),(120,1)}
         3:{1,3,5,6,7}:{(7,1),(9,1),(10,1),(31,1),(32,1),(67,1),(101,1)}
         4:{2,3,5,6,7}:{(9,1),(11,1),(22,1),(31,1),(34,1),(65,1),(68,1)}
         5:{2,3,6,7}:{(1,1),(12,1),(40,1),(117,1),(133,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(12,1),(13,1),(49,1),(130,1)}
         7:{1,3,5,6}:{(2,1),(13,1),(15,1),(40,1),(43,1)}
         8:{1,4,5,7}:{(2,1),(15,1),(16,1),(85,1),(107,1)}
         9:{1,2,5,6,7}:{(3,1),(4,1),(13,1),(17,1),(49,1),(51,1),(84,1),(87,1)}
        10:{1,4,6,7}:{(3,1),(15,1),(18,1),(19,1),(85,1),(115,1)}
        11:{2,4,6,7}:{(4,1),(20,1),(21,1),(37,1),(83,1),(86,1)}
        12:{2,3,5,7}:{(5,1),(6,1),(22,1),(23,1),(25,1),(136,1)}
        13:{1,2,5,6}:{(6,1),(7,1),(22,1),(24,1),(62,1),(92,1)}
        14:{1,2,4,5,7}:{(6,1),(8,1),(23,1),(24,1),(25,1),(28,1),(54,1),(56,1),(61,1),(92,1),(103,1),(121,1)}
        15:{1,4,6}:{(7,1),(8,1),(27,1)}
        16:{3,4,5,7}:{(8,1),(25,1),(27,1),(28,1),(32,1),(66,1),(91,1)}
        17:{1,2,4,6,7}:{(9,1),(10,1),(11,1),(24,1),(30,1),(31,1),(33,1),(35,1),(69,1),(100,1),(103,1)}
        18:{1,4,5,7}:{(10,1),(26,1),(32,1),(127,1)}
        19:{3,4,6,7}:{(10,1),(27,1),(31,1),(32,1),(33,1),(66,1),(126,1)}
        20:{2,4,5,7}:{(11,1),(29,1),(34,1),(54,1)}
        21:{3,4,6,7}:{(11,1),(31,1),(34,1),(35,1),(55,1),(63,1),(66,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(37,1),(40,1),(74,1)}
        23:{2,4,7}:{(12,1),(37,1),(38,1),(139,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(15,1),(37,1),(40,1),(44,1),(75,1),(81,1)}
        25:{3,5,7}:{(14,1),(38,1),(40,1),(74,1),(117,1),(131,1)}
        26:{1,4,5,6}:{(15,1),(18,1),(43,1)}
        27:{3,4,6}:{(15,1),(16,1),(40,1),(43,1),(44,1)}
        28:{2,4,5,7}:{(16,1),(42,1),(44,1),(49,1),(86,1),(108,1)}
        29:{2,4,5,6}:{(20,1),(45,1),(83,1)}
        30:{1,2,4,5,7}:{(17,1),(18,1),(20,1),(39,1),(46,1),(49,1),(51,1),(85,1),(86,1),(87,1)}
        31:{3,6,7}:{(17,1),(40,1),(46,1),(114,1),(117,1)}
        32:{3,5,7}:{(18,1),(19,1),(43,1),(49,1),(135,1)}
        33:{2,4,6,7}:{(19,1),(44,1),(48,1),(49,1),(86,1),(134,1)}
        34:{3,5,7}:{(20,1),(21,1),(45,1),(51,1),(74,1)}
        35:{1,4,6,7}:{(21,1),(47,1),(51,1),(75,1),(82,1),(85,1)}
        36:{2,3,4,6,7}:{(21,1),(48,1),(52,1),(53,1),(76,1),(83,1),(86,1),(114,1),(117,1),(119,1),(134,1)}
        37:{2,4,6}:{(22,1),(23,1),(54,1),(55,1)}
        38:{3,4,7}:{(23,1),(25,1),(55,1),(56,1),(137,1)}
        39:{1,2,4,5,6}:{(24,1),(26,1),(29,1),(30,1),(54,1),(58,1),(62,1),(64,1),(92,1),(96,1),(97,1),(98,1),(100,1),(121,1),(127,1),(138,1)}
        40:{3,6}:{(24,1),(25,1)}
        41:{1,3,5,7}:{(25,1),(56,1),(59,1),(61,1),(92,1),(95,1),(122,1)}
        42:{2,3,5,7}:{(25,1),(28,1),(57,1),(60,1),(61,1),(93,1)}
        43:{3,5,6}:{(26,1),(27,1),(32,1),(62,1)}
        44:{2,4,6}:{(27,1),(28,1),(60,1),(62,1)}
        45:{3,5,6}:{(29,1),(34,1),(63,1),(64,1)}
        46:{3,5,7}:{(30,1),(31,1),(58,1),(66,1)}
        47:{1,3,6,7}:{(31,1),(35,1),(59,1),(67,1),(69,1),(99,1)}
        48:{2,3,6,7}:{(31,1),(33,1),(60,1),(68,1),(69,1),(125,1)}
        49:{2,5,7}:{(32,1),(33,1),(62,1),(138,1)}
        50:{3,4,5,7}:{(34,1),(63,1),(66,1),(70,1),(71,1),(91,1),(105,1)}
        51:{1,5,7}:{(34,1),(35,1),(64,1),(92,1)}
        52:{2,3,5,7}:{(34,1),(36,1),(65,1),(71,1),(72,1),(93,1),(105,1),(138,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(69,1),(72,1),(73,1),(94,1),(100,1),(103,1),(106,1)}
        54:{2,4,5}:{(37,1),(74,1)}
        55:{3,4,6}:{(37,1),(38,1),(40,1),(74,1),(75,1)}
        56:{1,4,7}:{(38,1),(41,1),(75,1),(132,1)}
        57:{2,3,4,7}:{(38,1),(42,1),(76,1),(77,1),(86,1),(117,1)}
        58:{3,5,6}:{(39,1),(40,1),(46,1),(74,1),(78,1),(114,1),(131,1),(135,1)}
        59:{1,3,6}:{(40,1),(41,1),(75,1),(81,1)}
        60:{2,3,6}:{(40,1),(42,1),(44,1),(81,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(77,1),(81,1),(109,1)}
        62:{2,5,6}:{(43,1),(44,1),(49,1)}
        63:{3,4,6}:{(45,1),(50,1),(82,1),(83,1),(114,1)}
        64:{1,5,6}:{(45,1),(51,1),(82,1)}
        65:{2,3,5,6}:{(45,1),(52,1),(83,1),(84,1),(114,1)}
        66:{3,4,7}:{(46,1),(78,1),(85,1),(86,1),(117,1)}
        67:{1,3,5,7}:{(46,1),(47,1),(51,1),(79,1),(85,1),(87,1),(117,1)}
        68:{2,3,5,7}:{(46,1),(48,1),(49,1),(80,1),(86,1),(87,1),(117,1)}
        69:{1,2,6,7}:{(47,1),(48,1),(81,1),(87,1),(113,1)}
        70:{1,4,5,7}:{(50,1),(51,1),(82,1),(85,1),(88,1),(107,1)}
        71:{2,4,5,7}:{(50,1),(52,1),(83,1),(86,1),(108,1)}
        72:{1,2,5,7}:{(51,1),(52,1),(53,1),(84,1),(90,1),(109,1)}
        73:{1,3,6,7}:{(53,1),(90,1),(110,1),(114,1),(117,1)}
        74:{3,5}:{(54,1),(55,1),(92,1)}
        75:{1,4,6}:{(55,1),(56,1),(59,1),(92,1)}
        76:{2,3,4,6}:{(55,1),(57,1),(60,1),(93,1),(94,1),(97,1),(124,1),(137,1)}
        77:{1,2,4,7}:{(56,1),(57,1),(61,1),(94,1),(95,1)}
        78:{3,4,6}:{(58,1),(66,1),(91,1),(96,1),(97,1),(124,1),(137,1)}
        79:{1,3,5,6}:{(58,1),(59,1),(64,1),(67,1),(92,1),(96,1),(98,1),(99,1),(120,1),(122,1),(124,1)}
        80:{2,3,5,6}:{(58,1),(60,1),(62,1),(68,1),(93,1),(97,1),(98,1),(124,1),(125,1),(136,1),(138,1)}
        81:{1,2,6}:{(59,1),(60,1),(61,1)}
        82:{1,4,6}:{(63,1),(64,1),(70,1),(99,1)}
        83:{2,4,6}:{(63,1),(65,1),(71,1)}
        84:{1,2,5,6}:{(64,1),(65,1),(72,1),(100,1),(101,1),(138,1)}
        85:{1,4,7}:{(66,1),(67,1),(96,1)}
        86:{2,4,7}:{(66,1),(68,1),(97,1)}
        87:{1,2,5,7}:{(67,1),(68,1),(69,1),(98,1),(103,1)}
        88:{1,3,5,7}:{(70,1),(99,1),(102,1),(104,1),(105,1),(120,1)}
        89:{1,2,4,5,7}:{(70,1),(71,1),(72,1),(100,1),(103,1),(104,1),(105,1),(106,1),(121,1),(127,1),(129,1),(138,1)}
        90:{1,3,5,7}:{(72,1),(73,1),(101,1),(105,1),(106,1),(122,1)}
        91:{3,4,5}:{(74,1),(78,1),(107,1),(108,1),(131,1),(135,1)}
        92:{1,5}:{(74,1),(75,1)}
        93:{2,3,5}:{(74,1),(76,1),(108,1),(109,1),(131,1)}
        94:{1,2,4,6}:{(75,1),(76,1),(77,1),(81,1),(109,1),(110,1),(132,1)}
        95:{1,3,7}:{(77,1),(110,1),(117,1)}
        96:{1,4,6}:{(78,1),(79,1),(85,1),(107,1),(132,1)}
        97:{2,4,6}:{(78,1),(80,1),(86,1),(108,1),(139,1)}
        98:{1,2,5,6}:{(79,1),(80,1),(81,1),(87,1),(109,1),(112,1),(113,1),(130,1)}
        99:{1,3,6}:{(82,1),(88,1),(113,1),(114,1)}
       100:{1,2,4,6}:{(82,1),(83,1),(84,1),(89,1),(113,1),(114,1),(115,1),(134,1)}
       101:{1,3,5,6}:{(84,1),(90,1),(114,1),(115,1),(135,1)}
       102:{1,3,4,7}:{(85,1),(88,1),(111,1),(116,1),(117,1),(119,1)}
       103:{1,2,4,7}:{(85,1),(86,1),(87,1),(112,1),(117,1)}
       104:{1,2,5,7}:{(88,1),(113,1),(116,1),(118,1),(130,1)}
       105:{3,5,7}:{(89,1),(114,1),(117,1),(119,1),(131,1),(135,1)}
       106:{1,4,7}:{(90,1),(115,1),(119,1),(132,1)}
       107:{1,4,5}:{(91,1),(92,1),(96,1),(120,1)}
       108:{2,4,5}:{(91,1),(93,1),(97,1),(138,1)}
       109:{1,2,5}:{(92,1),(93,1),(94,1),(122,1)}
       110:{1,3,6}:{(94,1),(95,1),(122,1),(124,1)}
       111:{1,3,4,6}:{(96,1),(99,1),(102,1),(120,1),(123,1),(124,1),(126,1),(137,1)}
       112:{1,2,4,6}:{(96,1),(97,1),(98,1),(103,1),(121,1),(124,1)}
       113:{1,2,6}:{(99,1),(104,1),(125,1)}
       114:{3,6}:{(100,1),(105,1)}
       115:{1,4,6}:{(101,1),(106,1),(126,1),(127,1)}
       116:{1,2,4,7}:{(102,1),(104,1),(123,1),(128,1),(129,1)}
       117:{3,7}:{(103,1),(124,1)}
       118:{2,3,5,7}:{(104,1),(105,1),(125,1),(128,1),(129,1),(136,1),(138,1)}
       119:{3,4,7}:{(105,1),(106,1),(126,1),(129,1),(137,1)}
       120:{1,3,5}:{(107,1),(111,1),(130,1),(131,1),(135,1)}
       121:{1,2,4,5}:{(107,1),(108,1),(109,1),(112,1),(130,1),(131,1),(132,1),(139,1)}
       122:{1,3,5}:{(109,1),(110,1),(131,1),(132,1)}
       123:{1,2,4,6}:{(111,1),(113,1),(116,1),(130,1),(133,1),(134,1),(139,1)}
       124:{3,6}:{(112,1),(117,1),(131,1)}
       125:{2,3,6}:{(113,1),(114,1),(118,1),(134,1)}
       126:{3,4,6}:{(114,1),(115,1),(119,1),(134,1),(135,1)}
       127:{1,4,5}:{(115,1),(135,1)}
       128:{2,3,7}:{(116,1),(117,1),(133,1)}
       129:{2,4,7}:{(118,1),(119,1),(134,1),(139,1)}
       130:{1,2,5}:{(120,1),(123,1),(136,1),(138,1)}
       131:{3,5}:{(121,1),(124,1),(137,1)}
       132:{1,4}:{(122,1),(137,1)}
       133:{2,3,6}:{(123,1),(124,1),(128,1),(136,1)}
       134:{2,4,6}:{(125,1),(126,1),(129,1),(138,1)}
       135:{3,5}:{(126,1),(127,1),(138,1)}
       136:{2,3,5}:{(130,1),(131,1),(133,1),(139,1)}
       137:{3,4}:{(131,1),(132,1),(139,1)}
       138:{2,5}:{(134,1),(135,1)}
       139:{2,4}:{(136,1),(137,1)}

1574 :   0:{1,4,5,6,7}:{(1,1),(8,1),(192,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(4,1),(201,1)}
         2:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(31,1),(190,1)}
         3:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(26,1),(31,1),(157,1)}
         4:{2,5,6,7}:{(1,1),(9,1),(206,1)}
         5:{3,4,5,6}:{(7,1),(11,1),(12,1),(36,1),(165,1),(190,1)}
         6:{1,3,4,5,7}:{(13,1),(14,1),(26,1),(60,1),(71,1),(74,1),(104,1),(120,1),(152,1),(156,1)}
         7:{3,4,5,7}:{(2,1),(5,1),(15,1),(16,1),(43,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(176,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(18,1),(199,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(19,1),(20,1),(41,1),(84,1),(133,1)}
        11:{1,4,5,6}:{(5,1),(15,1),(21,1),(145,1),(176,1)}
        12:{2,4,5,6}:{(5,1),(16,1),(22,1),(181,1),(199,1)}
        13:{1,3,4,6}:{(6,1),(21,1),(24,1),(52,1),(130,1),(174,1),(176,1)}
        14:{1,2,4,5,7}:{(6,1),(24,1),(25,1),(41,1),(55,1),(79,1),(91,1),(95,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(11,1),(26,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(12,1),(27,1)}
        17:{1,3,4,6,7}:{(8,1),(13,1),(26,1),(29,1),(31,1),(60,1),(63,1)}
        18:{2,3,6,7}:{(9,1),(27,1),(30,1),(31,1),(188,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(28,1),(30,1),(31,1),(32,1),(63,1),(153,1)}
        20:{2,3,5,6,7}:{(10,1),(31,1),(32,1),(58,1),(64,1),(108,1)}
        21:{1,3,5,6}:{(11,1),(13,1),(26,1),(34,1),(36,1),(109,1),(120,1)}
        22:{2,3,5,6}:{(12,1),(27,1),(33,1),(35,1),(36,1),(162,1),(188,1)}
        23:{1,2,4,5,6}:{(11,1),(12,1),(28,1),(34,1),(35,1),(36,1),(65,1),(69,1),(70,1),(109,1),(116,1),(153,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(34,1),(37,1),(69,1)}
        25:{2,3,5,7}:{(14,1),(37,1),(39,1),(73,1),(152,1)}
        26:{1,3,5,7}:{(15,1),(17,1),(21,1),(41,1),(43,1),(84,1)}
        27:{2,3,5,7}:{(16,1),(18,1),(22,1),(40,1),(42,1),(43,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(19,1),(23,1),(41,1),(42,1),(43,1),(47,1),(79,1),(80,1),(84,1)}
        29:{1,2,4,6,7}:{(17,1),(24,1),(41,1),(44,1),(79,1)}
        30:{1,2,6,7}:{(18,1),(42,1),(45,1),(171,1)}
        31:{3,6,7}:{(19,1),(43,1),(174,1)}
        32:{2,4,6,7}:{(20,1),(46,1),(47,1),(79,1),(129,1)}
        33:{2,3,4,6}:{(22,1),(40,1),(48,1),(49,1),(52,1)}
        34:{1,2,5,6}:{(21,1),(24,1),(41,1),(50,1),(95,1)}
        35:{1,2,5,6}:{(22,1),(42,1),(49,1),(51,1),(139,1),(171,1)}
        36:{3,5,6}:{(23,1),(43,1),(52,1),(141,1),(174,1)}
        37:{2,3,6}:{(24,1),(25,1),(174,1)}
        38:{1,2,3,5,7}:{(25,1),(53,1),(55,1),(95,1),(97,1)}
        39:{2,3,4,7}:{(25,1),(54,1),(55,1),(79,1),(127,1)}
        40:{2,3,4,7}:{(27,1),(33,1),(57,1),(60,1)}
        41:{1,2,5,7}:{(26,1),(29,1),(34,1),(58,1)}
        42:{1,2,5,7}:{(27,1),(30,1),(35,1),(57,1),(59,1)}
        43:{3,5,7}:{(28,1),(31,1),(36,1),(60,1)}
        44:{2,3,6,7}:{(29,1),(31,1),(37,1),(58,1)}
        45:{1,3,6,7}:{(30,1),(31,1),(59,1),(63,1),(151,1)}
        46:{3,4,6,7}:{(31,1),(32,1),(60,1),(63,1),(64,1),(105,1)}
        47:{2,4,5,7}:{(32,1),(64,1),(65,1)}
        48:{2,3,4,5}:{(33,1),(66,1),(71,1),(159,1),(162,1)}
        49:{1,2,4,6}:{(33,1),(35,1),(57,1),(66,1),(67,1),(70,1)}
        50:{2,3,5,6}:{(34,1),(36,1),(37,1),(58,1),(69,1),(73,1)}
        51:{1,3,5,6}:{(35,1),(36,1),(59,1),(67,1),(70,1),(109,1),(114,1),(151,1)}
        52:{3,4,6}:{(36,1),(60,1),(69,1),(70,1),(71,1)}
        53:{1,2,3,6}:{(37,1),(38,1),(72,1),(123,1)}
        54:{2,3,4,6}:{(37,1),(39,1),(69,1),(72,1),(73,1),(115,1)}
        55:{1,2,4,7}:{(38,1),(39,1),(72,1),(74,1)}
        56:{2,3,4,5,7}:{(39,1),(73,1),(75,1),(76,1),(103,1),(122,1),(152,1),(165,1),(187,1),(198,1)}
        57:{1,2,4,7}:{(40,1),(42,1),(49,1),(77,1),(80,1)}
        58:{2,3,5,7}:{(41,1),(43,1),(44,1),(50,1),(79,1)}
        59:{1,3,5,7}:{(42,1),(43,1),(45,1),(51,1),(77,1),(80,1),(84,1)}
        60:{3,4,7}:{(43,1),(52,1),(79,1),(80,1)}
        61:{1,2,3,6,7}:{(44,1),(45,1),(53,1),(78,1),(82,1),(148,1),(171,1),(174,1),(200,1)}
        62:{2,3,4,6,7}:{(44,1),(46,1),(54,1),(79,1),(82,1),(83,1),(127,1),(129,1),(174,1)}
        63:{1,4,6,7}:{(45,1),(46,1),(80,1),(84,1),(130,1)}
        64:{3,5,7}:{(46,1),(47,1),(84,1),(85,1)}
        65:{2,4,5,6}:{(47,1),(85,1),(129,1)}
        66:{1,2,4,5}:{(48,1),(49,1),(87,1),(92,1),(136,1),(139,1)}
        67:{1,3,6}:{(49,1),(77,1),(87,1)}
        68:{1,2,3,5,6}:{(50,1),(51,1),(53,1),(78,1),(88,1),(90,1),(95,1),(133,1),(139,1),(141,1),(146,1),(171,1),(174,1),(182,1)}
        69:{2,4,6}:{(50,1),(52,1),(79,1),(91,1)}
        70:{1,4,6}:{(51,1),(52,1),(80,1),(92,1)}
        71:{3,4,5}:{(52,1),(91,1),(92,1),(141,1)}
        72:{1,2,4,6}:{(53,1),(54,1),(55,1),(94,1),(95,1)}
        73:{2,3,5}:{(54,1),(91,1),(95,1),(141,1)}
        74:{1,3,4,7}:{(55,1),(94,1),(97,1),(127,1),(186,1)}
        75:{1,2,4,5,7}:{(55,1),(56,1),(95,1),(97,1),(98,1),(145,1),(147,1),(186,1)}
        76:{2,3,4,6}:{(56,1),(96,1),(98,1),(129,1),(174,1),(184,1),(199,1)}
        77:{1,3,7}:{(57,1),(67,1)}
        78:{1,2,3,5,7}:{(58,1),(59,1),(61,1),(68,1),(100,1),(102,1),(107,1),(150,1),(152,1),(169,1),(197,1)}
        79:{2,4,7}:{(58,1),(60,1),(69,1)}
        80:{1,4,7}:{(59,1),(60,1),(70,1)}
        81:{3,4,5,7}:{(60,1),(64,1),(71,1),(103,1),(104,1),(105,1),(152,1)}
        82:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(72,1),(102,1),(106,1),(107,1),(153,1),(207,1)}
        83:{2,3,5,7}:{(62,1),(64,1),(73,1),(103,1),(107,1),(108,1),(152,1)}
        84:{1,5,7}:{(63,1),(64,1),(109,1)}
        85:{3,5,6}:{(64,1),(65,1),(105,1),(109,1)}
        86:{2,4,5,6,7}:{(65,1),(110,1),(154,1)}
        87:{1,3,5}:{(66,1),(67,1),(112,1)}
        88:{1,2,3,6}:{(67,1),(100,1),(111,1),(113,1),(194,1)}
        89:{1,3,4,6}:{(67,1),(70,1),(101,1),(112,1),(113,1),(114,1),(115,1),(151,1)}
        90:{1,2,4,6}:{(68,1),(69,1),(70,1),(102,1),(115,1),(116,1),(168,1),(196,1)}
        91:{2,4,5}:{(69,1),(71,1),(73,1)}
        92:{1,4,5}:{(70,1),(71,1),(114,1)}
        93:{3,4,5,6}:{(71,1),(105,1),(117,1),(118,1),(119,1),(166,1)}
        94:{1,3,4,6}:{(72,1),(74,1),(115,1),(120,1),(123,1),(168,1)}
        95:{1,2,5}:{(72,1),(73,1),(120,1)}
        96:{2,3,5,6}:{(73,1),(76,1),(117,1),(121,1),(122,1),(166,1),(206,1)}
        97:{1,3,5,7}:{(74,1),(75,1),(120,1),(123,1),(152,1)}
        98:{1,2,4,6}:{(75,1),(76,1),(121,1),(123,1),(168,1)}
        99:{2,3,4,6,7}:{(76,1),(122,1),(124,1),(154,1),(191,1),(198,1),(207,1)}
       100:{1,2,3,7}:{(77,1),(88,1),(125,1),(204,1)}
       101:{1,3,4,7}:{(77,1),(80,1),(89,1),(125,1),(126,1),(127,1)}
       102:{1,2,4,7}:{(78,1),(79,1),(80,1),(90,1),(127,1),(186,1),(205,1)}
       103:{2,4,5,7}:{(79,1),(81,1),(83,1),(91,1),(129,1)}
       104:{1,4,5,7}:{(80,1),(81,1),(84,1),(92,1),(126,1),(130,1)}
       105:{3,4,6}:{(81,1),(85,1),(129,1),(130,1),(174,1)}
       106:{1,3,4,6,7}:{(82,1),(94,1),(127,1),(132,1),(148,1),(174,1),(176,1),(186,1),(202,1)}
       107:{1,2,5,7}:{(82,1),(83,1),(84,1),(95,1),(132,1),(133,1),(209,1)}
       108:{2,3,5,6}:{(83,1),(85,1),(129,1),(133,1),(174,1)}
       109:{1,5,6}:{(84,1),(85,1),(130,1)}
       110:{3,5,6,7}:{(85,1),(86,1),(131,1),(135,1)}
       111:{1,2,3,5}:{(87,1),(88,1),(136,1),(139,1),(178,1)}
       112:{1,3,4}:{(87,1),(136,1)}
       113:{1,2,4,6}:{(88,1),(89,1),(125,1),(136,1),(138,1),(139,1),(171,1)}
       114:{1,3,5}:{(89,1),(92,1),(139,1),(141,1)}
       115:{3,4,6}:{(90,1),(127,1),(141,1),(174,1)}
       116:{1,2,4,5}:{(90,1),(91,1),(92,1),(95,1),(139,1),(141,1),(145,1),(181,1)}
       117:{2,4,5,6}:{(91,1),(93,1),(96,1),(129,1),(143,1)}
       118:{1,4,5,6}:{(92,1),(93,1),(130,1),(140,1),(144,1)}
       119:{3,4,5,7}:{(93,1),(131,1),(143,1),(144,1),(185,1)}
       120:{1,3,5}:{(94,1),(95,1),(141,1),(145,1)}
       121:{1,2,5,6}:{(95,1),(96,1),(98,1),(146,1),(147,1)}
       122:{2,3,5,7}:{(96,1),(99,1),(143,1),(147,1),(185,1),(209,1)}
       123:{1,3,6}:{(97,1),(98,1),(174,1)}
       124:{1,2,4,6,7}:{(98,1),(99,1),(147,1),(148,1),(186,1)}
       125:{1,2,4,7}:{(100,1),(101,1),(113,1),(149,1),(150,1)}
       126:{1,3,5,7}:{(101,1),(104,1),(114,1),(150,1),(151,1),(152,1)}
       127:{3,4,7}:{(102,1),(115,1),(152,1)}
       128:{1,2,4,5,7}:{(102,1),(103,1),(104,1),(107,1),(116,1),(150,1),(152,1),(153,1),(156,1),(187,1)}
       129:{2,4,6}:{(103,1),(105,1),(108,1)}
       130:{1,4,6}:{(104,1),(105,1),(109,1),(151,1)}
       131:{3,4,6,7}:{(105,1),(110,1),(119,1),(154,1),(155,1),(191,1)}
       132:{1,3,5,7}:{(106,1),(107,1),(120,1),(152,1),(156,1),(157,1),(208,1)}
       133:{1,2,5,6}:{(107,1),(108,1),(109,1),(153,1),(157,1),(206,1)}
       134:{2,3,5,6,7}:{(108,1),(110,1),(122,1),(154,1),(158,1),(191,1)}
       135:{1,5,6,7}:{(109,1),(110,1),(155,1)}
       136:{1,2,4}:{(111,1),(112,1),(159,1)}
       137:{1,3,4,5}:{(112,1),(114,1),(160,1),(161,1),(165,1)}
       138:{2,3,4,6}:{(113,1),(115,1),(149,1),(159,1),(162,1),(188,1),(194,1),(196,1)}
       139:{1,2,5}:{(113,1),(114,1),(162,1)}
       140:{1,3,5,6}:{(114,1),(118,1),(151,1),(161,1),(163,1),(164,1),(166,1)}
       141:{3,5}:{(115,1),(116,1)}
       142:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(121,1),(153,1),(163,1),(166,1),(167,1),(168,1),(192,1),(196,1),(206,1)}
       143:{2,4,5,7}:{(117,1),(119,1),(122,1),(154,1)}
       144:{1,4,5,7}:{(118,1),(119,1),(155,1),(164,1)}
       145:{1,4,5}:{(120,1),(165,1),(168,1)}
       146:{1,3,5,6}:{(120,1),(121,1),(123,1),(166,1),(168,1),(169,1)}
       147:{1,2,5,7}:{(121,1),(122,1),(124,1),(169,1)}
       148:{1,3,6,7}:{(123,1),(124,1),(169,1),(191,1)}
       149:{2,3,4,7}:{(125,1),(127,1),(138,1),(170,1),(204,1),(205,1)}
       150:{1,2,5,7}:{(125,1),(126,1),(139,1),(170,1),(171,1)}
       151:{1,3,6}:{(126,1),(130,1),(171,1),(174,1)}
       152:{3,5,7}:{(127,1),(128,1),(141,1),(174,1)}
       153:{1,2,4,6}:{(128,1),(129,1),(130,1),(133,1),(171,1),(174,1),(176,1),(199,1)}
       154:{2,4,6,7}:{(129,1),(131,1),(134,1),(143,1)}
       155:{1,4,6,7}:{(130,1),(131,1),(135,1),(144,1),(172,1)}
       156:{1,4,5,7}:{(132,1),(145,1),(173,1),(176,1),(186,1)}
       157:{1,3,5,6}:{(132,1),(133,1),(174,1),(176,1),(201,1)}
       158:{1,2,5,6,7}:{(133,1),(134,1),(135,1),(147,1),(175,1),(177,1),(209,1)}
       159:{2,3,4}:{(136,1),(178,1)}
       160:{1,2,4,5}:{(136,1),(137,1),(139,1),(178,1),(179,1),(181,1)}
       161:{1,3,4,6}:{(137,1),(140,1),(179,1),(180,1),(184,1)}
       162:{2,3,5}:{(138,1),(139,1),(141,1),(181,1)}
       163:{1,2,5,6}:{(139,1),(140,1),(171,1),(179,1),(182,1),(183,1)}
       164:{1,3,5,7}:{(140,1),(144,1),(172,1),(180,1),(183,1),(185,1)}
       165:{3,4,5}:{(141,1),(145,1),(181,1),(184,1)}
       166:{3,5,6}:{(141,1),(142,1),(174,1),(184,1),(185,1)}
       167:{1,2,4,5,7}:{(142,1),(143,1),(144,1),(147,1),(175,1),(183,1),(185,1),(186,1),(203,1),(205,1),(209,1)}
       168:{1,4,6}:{(145,1),(146,1),(184,1),(186,1)}
       169:{1,3,5,7}:{(146,1),(147,1),(148,1),(185,1),(186,1)}
       170:{2,3,5,7}:{(149,1),(150,1),(152,1),(162,1),(187,1),(188,1)}
       171:{1,2,6}:{(150,1),(151,1),(188,1)}
       172:{1,3,6,7}:{(151,1),(155,1),(164,1),(189,1),(191,1)}
       173:{3,4,5,7}:{(152,1),(156,1),(165,1),(187,1),(190,1),(198,1),(208,1)}
       174:{3,6}:{(152,1),(153,1)}
       175:{1,2,4,6,7}:{(153,1),(154,1),(155,1),(158,1),(167,1),(189,1),(191,1),(193,1),(207,1)}
       176:{1,4,6}:{(156,1),(157,1),(190,1)}
       177:{1,3,5,6,7}:{(157,1),(158,1),(169,1),(191,1),(193,1),(208,1)}
       178:{2,3,5}:{(159,1),(160,1),(194,1)}
       179:{1,2,4,6}:{(160,1),(161,1),(163,1),(194,1),(195,1),(196,1)}
       180:{1,3,4,7}:{(161,1),(164,1),(195,1),(198,1)}
       181:{2,4,5}:{(162,1),(165,1),(196,1)}
       182:{2,3,5,6}:{(162,1),(163,1),(166,1),(188,1),(194,1),(196,1),(197,1),(206,1)}
       183:{1,2,5,7}:{(163,1),(164,1),(189,1),(195,1),(197,1)}
       184:{3,4,6}:{(165,1),(166,1),(168,1),(196,1),(198,1)}
       185:{3,5,7}:{(166,1),(167,1),(191,1),(198,1)}
       186:{1,4,7}:{(168,1),(169,1),(198,1)}
       187:{2,4,5,7}:{(170,1),(173,1),(181,1),(199,1),(205,1),(209,1)}
       188:{2,3,6}:{(170,1),(171,1),(174,1),(199,1)}
       189:{1,2,6,7}:{(171,1),(172,1),(183,1),(200,1)}
       190:{3,4,6}:{(173,1),(174,1),(176,1),(199,1),(201,1)}
       191:{3,6,7}:{(174,1),(175,1),(185,1)}
       192:{1,4,5,6}:{(176,1),(201,1),(203,1)}
       193:{1,4,6,7}:{(176,1),(177,1),(186,1),(202,1),(203,1)}
       194:{2,3,6}:{(178,1),(179,1),(204,1)}
       195:{1,2,4,7}:{(179,1),(180,1),(183,1),(204,1),(205,1)}
       196:{2,4,6}:{(181,1),(182,1),(184,1),(205,1)}
       197:{2,3,5,7}:{(182,1),(183,1),(185,1),(200,1),(204,1),(205,1),(209,1)}
       198:{3,4,7}:{(184,1),(185,1),(186,1),(205,1)}
       199:{2,4,6}:{(187,1),(188,1),(190,1),(206,1)}
       200:{2,3,6,7}:{(188,1),(189,1),(191,1),(197,1),(207,1)}
       201:{3,5,6}:{(190,1),(192,1),(206,1),(208,1)}
       202:{3,4,6,7}:{(190,1),(191,1),(193,1),(198,1),(207,1),(208,1)}
       203:{1,4,5,7}:{(192,1),(193,1),(208,1)}
       204:{2,3,7}:{(194,1),(195,1)}
       205:{2,4,7}:{(196,1),(197,1),(198,1)}
       206:{2,5,6}:{(199,1),(201,1),(209,1)}
       207:{2,4,6,7}:{(199,1),(200,1),(202,1),(205,1),(209,1)}
       208:{3,5,7}:{(201,1),(202,1),(203,1),(209,1)}
       209:{2,5,7}:{(206,1),(207,1),(208,1)}

1575 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(57,1),(63,1)}
         1:{1,2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(49,1),(52,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(28,1),(48,1),(53,1)}
         3:{1,3,5,6}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(40,1),(43,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(44,1)}
         6:{1,2,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(47,1),(49,1)}
         7:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,2,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(34,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(35,1),(48,1)}
        11:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
        12:{1,2,3,5,7}:{(6,1),(8,1),(20,1),(21,1),(37,1),(40,1)}
        13:{1,3,4,5}:{(7,1),(19,1)}
        14:{1,3,4,7}:{(7,1),(8,1),(20,1)}
        15:{1,3,6,7}:{(8,1),(9,1)}
        16:{1,2,5,6,7}:{(9,1),(10,1),(24,1),(40,1)}
        17:{2,4,5,6,7}:{(10,1),(26,1),(58,1)}
        18:{2,3,4,6}:{(11,1),(27,1),(28,1),(47,1)}
        19:{1,2,4,5}:{(11,1),(13,1),(27,1)}
        20:{1,2,4,7}:{(11,1),(12,1),(14,1),(28,1)}
        21:{1,2,3,6,7}:{(12,1),(15,1),(30,1),(47,1)}
        22:{1,3,4,5,7}:{(13,1),(14,1),(29,1),(32,1),(33,1),(68,1)}
        23:{1,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1),(51,1)}
        24:{1,3,5,6,7}:{(15,1),(16,1),(33,1),(34,1),(35,1)}
        25:{1,2,4,5,6,7}:{(16,1),(17,1),(34,1),(35,1),(36,1),(50,1),(55,1),(56,1)}
        26:{3,4,5,6,7}:{(17,1),(35,1),(36,1),(68,1)}
        27:{2,3,5}:{(18,1),(19,1)}
        28:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(39,1),(40,1),(58,1)}
        30:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(39,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(24,1),(40,1),(41,1),(46,1),(57,1),(60,1),(80,1),(82,1),(83,1)}
        32:{1,3,4,6}:{(22,1),(39,1),(42,1),(77,1)}
        33:{1,3,5,7}:{(23,1),(40,1),(42,1),(43,1),(60,1)}
        34:{1,4,6,7}:{(24,1),(43,1),(44,1)}
        35:{3,5,6,7}:{(25,1),(44,1),(60,1)}
        36:{1,4,5,6,7}:{(26,1),(45,1),(78,1)}
        37:{2,3,5,7}:{(27,1),(28,1),(29,1),(47,1)}
        38:{2,3,4,6,7}:{(28,1),(30,1),(47,1),(48,1),(51,1),(67,1)}
        39:{1,2,4,6}:{(29,1),(32,1),(47,1),(49,1),(67,1)}
        40:{1,2,5,7}:{(30,1),(33,1),(48,1),(49,1)}
        41:{1,2,4,6,7}:{(31,1),(34,1),(50,1),(51,1),(55,1),(67,1),(86,1)}
        42:{1,3,5,6}:{(32,1),(33,1),(49,1),(52,1),(69,1)}
        43:{1,4,5,7}:{(33,1),(34,1),(52,1),(53,1)}
        44:{3,4,6,7}:{(34,1),(35,1),(53,1),(55,1)}
        45:{1,3,5,6,7}:{(35,1),(36,1),(54,1),(56,1),(70,1)}
        46:{2,3,5,6,7}:{(35,1),(55,1),(56,1),(71,1),(76,1)}
        47:{2,3,6}:{(37,1),(39,1)}
        48:{2,3,5,7}:{(38,1),(40,1),(57,1),(58,1),(60,1)}
        49:{1,2,5,6}:{(39,1),(40,1),(42,1),(57,1)}
        50:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(58,1),(59,1),(60,1),(65,1),(78,1),(82,1)}
        51:{3,4,6,7}:{(41,1),(60,1),(77,1)}
        52:{1,4,5,6}:{(42,1),(43,1),(63,1)}
        53:{3,4,5,7}:{(43,1),(44,1),(60,1),(63,1),(65,1)}
        54:{1,3,4,6,7}:{(44,1),(45,1),(64,1),(66,1)}
        55:{2,4,6,7}:{(44,1),(46,1),(65,1)}
        56:{1,2,5,6,7}:{(45,1),(46,1),(66,1),(82,1)}
        57:{2,3,5,6}:{(47,1),(48,1),(49,1),(67,1),(69,1)}
        58:{2,4,5,7}:{(48,1),(67,1),(68,1)}
        59:{1,2,4,5,6}:{(49,1),(50,1),(52,1),(67,1),(69,1),(74,1),(86,1),(89,1)}
        60:{3,5,7}:{(50,1),(51,1),(69,1)}
        61:{1,3,4,6,7}:{(51,1),(70,1),(72,1),(86,1),(98,1),(99,1)}
        62:{2,3,4,6,7}:{(51,1),(55,1),(71,1),(72,1),(76,1),(87,1),(92,1)}
        63:{3,4,5,6}:{(52,1),(53,1),(69,1),(74,1)}
        64:{1,3,4,5,7}:{(53,1),(54,1),(70,1),(73,1),(75,1),(99,1)}
        65:{2,4,5,7}:{(53,1),(55,1),(71,1),(74,1)}
        66:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(75,1),(76,1)}
        67:{2,4,6}:{(57,1),(58,1),(77,1)}
        68:{3,4,5,7}:{(58,1),(60,1),(77,1),(78,1)}
        69:{3,5,6}:{(59,1),(60,1),(77,1)}
        70:{1,3,5,7}:{(60,1),(61,1),(78,1),(80,1),(82,1)}
        71:{2,3,5,7}:{(60,1),(62,1),(65,1),(81,1),(82,1)}
        72:{1,2,4,6,7}:{(61,1),(62,1),(82,1),(83,1),(93,1),(96,1)}
        73:{1,3,4,5,6}:{(63,1),(64,1),(80,1),(84,1),(102,1)}
        74:{2,4,5,6}:{(63,1),(65,1),(81,1)}
        75:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(82,1),(84,1),(85,1),(96,1)}
        76:{2,3,6,7}:{(66,1),(85,1)}
        77:{3,4,6}:{(67,1),(68,1),(69,1),(86,1)}
        78:{1,4,5,7}:{(68,1),(70,1),(86,1)}
        79:{2,3,4,5,7}:{(68,1),(71,1),(87,1),(88,1),(92,1),(101,1)}
        80:{1,3,5,6}:{(69,1),(70,1),(86,1),(89,1),(98,1)}
        81:{2,3,5,6}:{(69,1),(71,1),(74,1),(87,1),(89,1)}
        82:{1,2,5,7}:{(70,1),(71,1),(72,1),(89,1)}
        83:{1,2,3,6,7}:{(72,1),(76,1),(90,1),(98,1)}
        84:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(89,1),(91,1),(100,1)}
        85:{2,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,4,6}:{(77,1),(78,1),(80,1)}
        87:{2,3,4,6}:{(77,1),(79,1),(81,1),(93,1)}
        88:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(93,1),(94,1),(96,1),(103,1)}
        89:{1,2,5,6}:{(80,1),(81,1),(82,1),(93,1)}
        90:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(94,1),(95,1),(96,1)}
        91:{2,3,5,6}:{(84,1),(85,1),(97,1)}
        92:{2,3,4,7}:{(85,1),(96,1),(97,1)}
        93:{1,2,4,6}:{(86,1),(87,1),(88,1),(89,1),(98,1)}
        94:{1,3,5,7}:{(88,1),(98,1),(99,1),(104,1)}
        95:{1,2,3,5,6}:{(89,1),(90,1),(91,1),(98,1),(100,1),(104,1)}
        96:{1,2,4,7}:{(90,1),(92,1),(99,1),(100,1)}
        97:{2,3,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{1,3,6}:{(93,1),(94,1)}
        99:{1,3,4,7}:{(94,1),(96,1),(102,1)}
       100:{1,2,4,6}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{2,3,4,5}:{(97,1),(103,1)}
       102:{1,3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       103:{1,2,4,5}:{(100,1),(101,1),(104,1)}
       104:{1,3,5}:{(102,1),(103,1)}

1576 :   0:{1,2,4,5,6}:{(2,1),(3,1),(17,1),(18,1),(19,1),(42,1),(51,1),(77,1),(78,1),(81,1),(99,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(62,1),(63,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(24,1),(29,1),(30,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(6,1),(7,1),(69,1),(91,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(12,1),(43,1),(96,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(44,1),(45,1),(46,1),(81,1)}
         6:{3,5,7}:{(2,1),(3,1),(12,1),(13,1)}
         7:{3,4,6}:{(3,1),(13,1),(16,1),(17,1),(18,1),(52,1),(83,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(21,1),(52,1),(53,1),(76,1),(77,1),(94,1),(96,1),(103,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(40,1),(52,1),(56,1),(73,1),(78,1),(84,1),(96,1),(99,1)}
        10:{1,3,4,6}:{(17,1),(20,1),(21,1),(22,1),(52,1),(53,1),(83,1),(98,1)}
        11:{4,6,7}:{(4,1),(24,1),(101,1)}
        12:{3,6,7}:{(5,1),(6,1),(91,1)}
        13:{3,4,7}:{(6,1),(7,1),(29,1),(30,1),(68,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(26,1),(29,1),(31,1),(62,1),(68,1),(90,1)}
        15:{2,3,5,7}:{(6,1),(9,1),(27,1),(30,1),(31,1),(63,1),(68,1),(90,1)}
        16:{3,4,5}:{(7,1),(32,1),(33,1),(69,1),(102,1)}
        17:{1,4,6}:{(7,1),(8,1),(29,1),(32,1),(88,1),(101,1)}
        18:{2,4,6}:{(7,1),(9,1),(30,1),(33,1),(72,1),(101,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(37,1),(59,1),(70,1),(86,1)}
        20:{1,3,4,7}:{(10,1),(29,1),(35,1),(36,1),(68,1),(92,1)}
        21:{1,3,5}:{(10,1),(32,1),(37,1),(69,1),(102,1)}
        22:{1,2,4,6}:{(10,1),(36,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        23:{2,3,4,6}:{(18,1),(39,1),(40,1),(41,1),(52,1),(73,1),(83,1),(98,1)}
        24:{4,5,7}:{(11,1),(42,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(13,1),(43,1),(44,1),(45,1),(47,1),(80,1),(97,1),(98,1)}
        26:{1,3,6,7}:{(12,1),(14,1),(44,1),(46,1),(53,1),(80,1),(94,1)}
        27:{2,3,6,7}:{(12,1),(15,1),(45,1),(46,1),(73,1),(80,1),(84,1)}
        28:{3,4,5,7}:{(13,1),(16,1),(43,1),(47,1),(48,1),(49,1),(82,1),(97,1),(104,1)}
        29:{1,4,7}:{(13,1),(14,1),(17,1),(97,1)}
        30:{2,4,7}:{(13,1),(15,1),(18,1),(97,1)}
        31:{1,2,5,7}:{(14,1),(15,1),(19,1),(46,1),(50,1)}
        32:{1,4,5}:{(16,1),(17,1),(21,1),(103,1),(104,1)}
        33:{2,4,5}:{(16,1),(18,1),(40,1),(99,1),(104,1)}
        34:{1,2,4,6}:{(17,1),(18,1),(19,1),(50,1),(51,1),(52,1)}
        35:{1,3,5,7}:{(20,1),(21,1),(48,1),(53,1),(54,1),(82,1)}
        36:{1,2,4,7}:{(20,1),(22,1),(54,1),(55,1),(85,1)}
        37:{1,2,5}:{(21,1),(22,1),(56,1),(99,1)}
        38:{2,3,6}:{(22,1),(52,1),(55,1),(56,1)}
        39:{2,3,4,7}:{(23,1),(30,1),(57,1),(58,1),(68,1),(92,1)}
        40:{2,3,5}:{(23,1),(33,1),(59,1),(69,1),(102,1)}
        41:{1,2,4,6}:{(23,1),(58,1),(59,1),(60,1),(86,1),(88,1),(100,1)}
        42:{4,5,6}:{(24,1),(61,1),(101,1)}
        43:{3,5,7}:{(24,1),(25,1),(61,1),(62,1),(63,1),(102,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(62,1),(65,1),(100,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(63,1),(66,1),(93,1)}
        46:{1,2,6,7}:{(26,1),(27,1),(31,1),(70,1),(86,1)}
        47:{3,4,6}:{(28,1),(61,1),(65,1),(66,1),(91,1),(101,1)}
        48:{1,4,5,7}:{(28,1),(29,1),(32,1),(35,1),(62,1),(65,1)}
        49:{2,4,5,7}:{(28,1),(30,1),(33,1),(57,1),(63,1),(66,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(68,1)}
        51:{1,2,4,5}:{(32,1),(33,1),(34,1),(37,1),(59,1),(69,1),(72,1),(88,1)}
        52:{3,6}:{(34,1),(68,1),(69,1)}
        53:{1,3,6}:{(35,1),(65,1),(70,1),(91,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(37,1),(70,1),(71,1)}
        55:{2,3,7}:{(36,1),(38,1),(68,1)}
        56:{2,3,5}:{(37,1),(38,1),(69,1),(72,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(49,1),(73,1),(74,1),(82,1)}
        58:{1,2,4,7}:{(39,1),(41,1),(74,1),(75,1),(95,1)}
        59:{1,2,5}:{(40,1),(41,1),(76,1),(103,1)}
        60:{1,3,6}:{(41,1),(52,1),(75,1),(76,1)}
        61:{3,5,6}:{(42,1),(43,1),(47,1),(77,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(77,1),(103,1)}
        63:{2,5,7}:{(43,1),(45,1),(78,1),(99,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(50,1),(79,1),(80,1),(81,1),(97,1)}
        65:{1,4,6}:{(47,1),(48,1),(53,1),(77,1)}
        66:{2,4,6}:{(47,1),(49,1),(73,1),(78,1)}
        67:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(51,1),(54,1),(74,1),(79,1),(81,1),(82,1),(85,1),(95,1),(97,1),(99,1),(103,1),(104,1)}
        68:{3,7}:{(50,1),(52,1)}
        69:{3,5}:{(51,1),(52,1),(83,1)}
        70:{1,2,6}:{(53,1),(54,1),(84,1)}
        71:{2,3,5,7}:{(54,1),(55,1),(56,1),(82,1),(84,1),(85,1),(99,1)}
        72:{2,4}:{(56,1),(83,1)}
        73:{2,3,6}:{(57,1),(66,1),(86,1),(91,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(86,1),(87,1)}
        75:{1,3,7}:{(58,1),(60,1),(68,1)}
        76:{1,3,5}:{(59,1),(60,1),(69,1),(88,1)}
        77:{1,5,6}:{(61,1),(62,1),(65,1)}
        78:{2,5,6}:{(61,1),(63,1),(66,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(89,1),(90,1)}
        80:{3,6,7}:{(64,1),(68,1),(90,1),(91,1)}
        81:{1,2,4,6}:{(65,1),(66,1),(67,1),(70,1),(86,1),(89,1),(91,1),(93,1),(100,1),(101,1)}
        82:{3,5,7}:{(67,1),(68,1),(69,1),(91,1),(92,1),(102,1)}
        83:{3,4}:{(69,1),(72,1),(88,1)}
        84:{2,3,6}:{(70,1),(71,1),(91,1),(93,1)}
        85:{2,4,7}:{(71,1),(72,1),(92,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{1,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(94,1),(95,1),(103,1)}
        88:{1,4}:{(76,1),(83,1)}
        89:{1,2,5,6}:{(77,1),(78,1),(79,1),(81,1),(96,1),(99,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{3,6}:{(81,1),(82,1)}
        92:{3,4,7}:{(82,1),(83,1),(85,1),(95,1),(97,1),(98,1)}
        93:{2,4,6}:{(84,1),(85,1),(98,1),(99,1)}
        94:{1,3,6}:{(86,1),(87,1),(91,1),(100,1)}
        95:{1,4,7}:{(87,1),(88,1),(92,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(91,1),(101,1),(102,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{3,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(102,1)}
        99:{2,5}:{(93,1),(102,1)}
       100:{1,4,6}:{(94,1),(95,1),(98,1),(103,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{3,5}:{(98,1),(99,1),(103,1),(104,1)}
       103:{1,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1577 :  0:{1,2,3,4,7}:{(1,1),(2,1),(27,1),(78,1)}
        1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(68,1),(69,1)}
        3:{1,3,4,5,7}:{(4,1),(7,1),(20,1),(21,1),(39,1)}
        4:{1,2,4,5,7}:{(1,1),(3,1),(8,1),(9,1),(12,1),(25,1),(27,1)}
        5:{1,2,3,6}:{(1,1),(9,1)}
        6:{1,2,3,5}:{(2,1),(12,1)}
        7:{1,3,4,6}:{(3,1),(9,1),(14,1),(28,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(20,1),(34,1),(39,1)}
        9:{1,2,4,6}:{(4,1),(5,1),(7,1),(15,1),(17,1)}
       10:{1,2,3,6,7}:{(5,1),(16,1),(18,1),(63,1),(82,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(17,1),(18,1),(19,1),(38,1),(66,1),(68,1)}
       12:{1,2,4,5}:{(6,1),(19,1),(20,1)}
       13:{1,3,4,6,7}:{(7,1),(16,1),(21,1),(39,1),(43,1),(63,1)}
       14:{1,3,5,6}:{(7,1),(17,1),(21,1),(22,1),(38,1)}
       15:{2,3,4,6}:{(8,1),(9,1),(24,1),(28,1)}
       16:{1,2,4,6,7}:{(9,1),(10,1),(13,1),(23,1),(25,1),(27,1)}
       17:{1,2,5,6}:{(9,1),(14,1),(24,1),(25,1)}
       18:{1,2,3,5,7}:{(10,1),(11,1),(25,1),(27,1),(50,1),(77,1),(78,1)}
       19:{1,2,4,6}:{(11,1),(12,1),(27,1),(28,1)}
       20:{3,4,5}:{(12,1),(28,1)}
       21:{1,3,5,7}:{(13,1),(14,1),(25,1),(32,1),(50,1)}
       22:{1,4,5,6}:{(14,1),(32,1),(33,1)}
       23:{2,3,4,6,7}:{(15,1),(16,1),(34,1),(39,1),(60,1),(63,1)}
       24:{2,3,5,6}:{(15,1),(17,1),(34,1),(35,1),(38,1)}
       25:{1,2,5,7}:{(16,1),(17,1),(21,1),(34,1)}
       26:{1,2,4,5,6}:{(17,1),(19,1),(22,1),(35,1),(37,1),(38,1),(45,1),(62,1),(66,1)}
       27:{1,2,4,7}:{(18,1),(19,1),(39,1)}
       28:{3,4,6}:{(19,1),(20,1),(38,1),(39,1)}
       29:{1,3,4,5}:{(20,1),(40,1),(42,1)}
       30:{2,3,4,5}:{(20,1),(41,1),(42,1)}
       31:{1,3,5,6,7}:{(21,1),(36,1),(43,1),(63,1),(70,1)}
       32:{1,4,5,7}:{(21,1),(22,1),(43,1),(44,1)}
       33:{3,4,5,6}:{(22,1),(38,1),(44,1),(45,1)}
       34:{2,3,5,7}:{(23,1),(24,1),(25,1),(47,1),(50,1)}
       35:{2,4,5,6}:{(24,1),(47,1),(48,1)}
       36:{1,2,5,6,7}:{(25,1),(31,1),(46,1),(49,1),(79,1),(83,1)}
       37:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(32,1),(47,1),(49,1),(50,1),(59,1),(74,1),(77,1)}
       38:{3,5,6}:{(26,1),(28,1),(50,1)}
       39:{3,4,7}:{(27,1),(28,1),(50,1)}
       40:{1,3,4,6}:{(28,1),(29,1),(51,1),(53,1),(55,1)}
       41:{2,3,4,6}:{(28,1),(30,1),(52,1),(54,1),(55,1)}
       42:{1,2,4,5}:{(29,1),(30,1),(55,1),(56,1)}
       43:{1,4,6,7}:{(31,1),(32,1),(58,1)}
       44:{3,4,5,7}:{(32,1),(33,1),(50,1),(58,1),(59,1)}
       45:{2,4,5,6}:{(33,1),(52,1),(59,1)}
       46:{2,3,5,6,7}:{(34,1),(36,1),(60,1),(63,1),(80,1)}
       47:{2,4,5,7}:{(34,1),(35,1),(60,1),(61,1)}
       48:{3,4,5,6}:{(35,1),(38,1),(61,1),(62,1)}
       49:{1,2,4,6,7}:{(36,1),(37,1),(43,1),(60,1),(63,1),(71,1),(81,1),(82,1)}
       50:{3,5,7}:{(37,1),(38,1),(39,1),(63,1)}
       51:{1,3,5,6}:{(38,1),(40,1),(62,1),(64,1),(66,1)}
       52:{2,3,5,6}:{(38,1),(41,1),(45,1),(65,1),(66,1)}
       53:{1,3,4,7}:{(39,1),(40,1),(64,1),(67,1)}
       54:{2,3,4,7}:{(39,1),(41,1),(65,1),(67,1)}
       55:{1,2,4,6}:{(40,1),(41,1),(42,1),(66,1),(67,1),(68,1)}
       56:{1,2,3,5}:{(42,1),(68,1),(69,1)}
       57:{1,4,5,6,7}:{(43,1),(70,1)}
       58:{3,4,6,7}:{(43,1),(44,1),(63,1),(70,1),(71,1)}
       59:{2,4,5,7}:{(44,1),(45,1),(65,1),(71,1)}
       60:{2,4,6,7}:{(46,1),(47,1),(73,1)}
       61:{3,4,5,7}:{(47,1),(48,1),(50,1),(73,1),(74,1)}
       62:{1,4,5,6}:{(48,1),(51,1),(74,1)}
       63:{3,6,7}:{(49,1),(50,1)}
       64:{1,3,5,7}:{(50,1),(51,1),(53,1),(74,1),(75,1),(77,1)}
       65:{2,3,5,7}:{(50,1),(52,1),(54,1),(59,1),(76,1),(77,1)}
       66:{1,2,5,6}:{(51,1),(52,1),(55,1),(77,1)}
       67:{1,2,4,7}:{(53,1),(54,1),(55,1),(77,1),(78,1)}
       68:{1,2,3,6}:{(55,1),(56,1),(78,1)}
       69:{1,2,3,4}:{(56,1)}
       70:{3,5,6,7}:{(57,1),(58,1),(79,1)}
       71:{2,4,6,7}:{(58,1),(59,1),(76,1),(79,1)}
       72:{2,4,5,6,7}:{(60,1),(80,1)}
       73:{3,4,6,7}:{(60,1),(61,1),(63,1),(80,1),(81,1)}
       74:{1,4,5,7}:{(61,1),(62,1),(64,1),(81,1)}
       75:{1,3,6,7}:{(63,1),(64,1),(81,1),(82,1)}
       76:{2,3,6,7}:{(63,1),(65,1),(71,1),(82,1)}
       77:{1,2,5,7}:{(64,1),(65,1),(66,1),(67,1),(82,1)}
       78:{1,2,3,7}:{(67,1),(68,1)}
       79:{2,5,6,7}:{(70,1),(71,1)}
       80:{3,5,6,7}:{(72,1),(73,1),(83,1)}
       81:{1,4,6,7}:{(73,1),(74,1),(75,1),(83,1)}
       82:{1,2,6,7}:{(75,1),(76,1),(77,1)}
       83:{1,5,6,7}:{(80,1),(81,1)}

1578 :   0:{1,3,4,6,7}:{(2,1),(3,1),(14,1),(36,1),(42,1),(45,1),(67,1),(73,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(37,1),(42,1),(45,1),(68,1),(74,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(26,1),(29,1),(52,1),(53,1),(80,1),(87,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(30,1),(49,1),(85,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(8,1),(10,1),(30,1),(50,1),(86,1)}
         5:{1,3,5,6}:{(3,1),(13,1),(14,1),(39,1),(42,1)}
         6:{2,3,5,6}:{(4,1),(13,1),(15,1),(40,1),(42,1)}
         7:{1,2,3,6,7}:{(2,1),(16,1),(42,1),(67,1),(68,1),(75,1),(96,1),(101,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(4,1),(13,1),(65,1),(66,1),(95,1)}
         9:{1,4,5,7}:{(3,1),(14,1),(18,1),(89,1),(92,1)}
        10:{2,4,5,7}:{(4,1),(15,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(5,1),(20,1),(21,1),(49,1),(51,1),(78,1)}
        12:{2,3,5,6,7}:{(6,1),(20,1),(22,1),(50,1),(51,1),(79,1)}
        13:{1,2,5,6}:{(5,1),(6,1),(8,1),(26,1),(55,1),(56,1)}
        14:{1,4,6}:{(5,1),(9,1),(27,1)}
        15:{2,4,6}:{(6,1),(10,1),(28,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(25,1),(29,1),(30,1),(63,1),(78,1),(79,1),(88,1),(100,1)}
        17:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(26,1),(29,1),(30,1),(31,1),(32,1),(57,1),(63,1),(97,1),(98,1)}
        18:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(49,1),(77,1),(81,1)}
        19:{3,4,5,7}:{(10,1),(28,1),(30,1),(32,1),(50,1),(77,1),(81,1)}
        20:{1,2,5,6,7}:{(11,1),(12,1),(13,1),(35,1),(65,1),(66,1),(91,1)}
        21:{1,4,6,7}:{(11,1),(14,1),(33,1),(36,1),(89,1)}
        22:{2,4,6,7}:{(12,1),(15,1),(34,1),(37,1),(90,1)}
        23:{1,4,5,6}:{(14,1),(33,1),(39,1)}
        24:{2,4,5,6}:{(15,1),(34,1),(40,1)}
        25:{1,2,3,5,6}:{(13,1),(16,1),(41,1),(42,1),(70,1),(71,1),(72,1),(75,1),(95,1),(96,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(42,1),(43,1),(44,1),(75,1)}
        27:{3,4,6}:{(14,1),(18,1),(39,1),(42,1),(43,1)}
        28:{3,4,6}:{(15,1),(19,1),(40,1),(42,1),(44,1)}
        29:{1,2,4,7}:{(16,1),(41,1),(45,1),(89,1),(90,1),(103,1)}
        30:{3,5,7}:{(17,1),(42,1),(45,1),(72,1),(101,1),(102,1)}
        31:{2,4,5,7}:{(18,1),(43,1),(47,1),(65,1),(90,1),(93,1)}
        32:{1,4,5,7}:{(19,1),(44,1),(46,1),(66,1),(89,1),(92,1)}
        33:{1,4,5,7}:{(21,1),(23,1),(49,1)}
        34:{2,4,5,7}:{(22,1),(24,1),(50,1)}
        35:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(26,1),(48,1),(51,1),(52,1),(53,1),(80,1),(97,1)}
        36:{3,4,6,7}:{(21,1),(27,1),(49,1),(51,1),(52,1),(77,1)}
        37:{3,4,6,7}:{(22,1),(28,1),(50,1),(51,1),(53,1),(77,1)}
        38:{1,2,4,5,6}:{(23,1),(24,1),(26,1),(48,1),(54,1),(55,1),(56,1),(57,1),(82,1),(83,1),(84,1)}
        39:{3,5,6}:{(23,1),(27,1),(49,1),(55,1)}
        40:{3,5,6}:{(24,1),(28,1),(50,1),(56,1)}
        41:{1,2,4,6}:{(25,1),(29,1),(57,1),(58,1),(82,1),(83,1)}
        42:{3,6}:{(26,1),(30,1)}
        43:{2,4,6}:{(27,1),(31,1),(55,1),(60,1)}
        44:{1,4,6}:{(28,1),(32,1),(56,1),(59,1)}
        45:{3,4,7}:{(29,1),(30,1),(58,1),(104,1)}
        46:{1,3,5,7}:{(30,1),(32,1),(59,1),(61,1),(63,1),(85,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(60,1),(62,1),(63,1),(86,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(38,1),(64,1),(65,1),(66,1),(89,1),(90,1),(91,1)}
        49:{3,5,7}:{(33,1),(36,1),(39,1),(65,1)}
        50:{3,5,7}:{(34,1),(37,1),(40,1),(66,1)}
        51:{3,6,7}:{(35,1),(42,1),(64,1),(101,1)}
        52:{2,4,6,7}:{(36,1),(43,1),(65,1),(68,1),(90,1)}
        53:{1,4,6,7}:{(37,1),(44,1),(66,1),(67,1),(89,1)}
        54:{3,5,6}:{(38,1),(42,1),(64,1),(69,1),(72,1)}
        55:{2,5,6}:{(39,1),(43,1),(65,1)}
        56:{1,5,6}:{(40,1),(44,1),(66,1)}
        57:{1,2,4,5}:{(41,1),(72,1),(92,1),(93,1),(95,1)}
        58:{3,4,6}:{(41,1),(42,1),(45,1),(72,1)}
        59:{1,3,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{2,3,6}:{(42,1),(43,1),(47,1),(75,1)}
        61:{1,3,4,7}:{(45,1),(46,1),(73,1),(76,1),(89,1),(101,1)}
        62:{2,3,4,7}:{(45,1),(47,1),(74,1),(76,1),(90,1),(101,1)}
        63:{1,2,5,7}:{(46,1),(47,1),(75,1),(76,1),(95,1)}
        64:{3,5,7}:{(48,1),(51,1),(54,1),(77,1)}
        65:{2,5,7}:{(49,1),(52,1),(55,1)}
        66:{1,5,7}:{(50,1),(53,1),(56,1)}
        67:{1,3,6,7}:{(51,1),(53,1),(59,1),(78,1),(80,1)}
        68:{2,3,6,7}:{(51,1),(52,1),(60,1),(79,1),(80,1)}
        69:{3,4,6}:{(54,1),(77,1),(81,1),(82,1),(83,1),(99,1)}
        70:{1,3,5,6}:{(54,1),(56,1),(59,1),(78,1),(82,1),(84,1),(85,1),(99,1)}
        71:{2,3,5,6}:{(54,1),(55,1),(60,1),(79,1),(83,1),(84,1),(86,1),(99,1)}
        72:{3,5}:{(57,1),(58,1)}
        73:{1,3,4,6}:{(58,1),(59,1),(61,1),(82,1),(85,1),(87,1),(99,1),(104,1)}
        74:{2,3,4,6}:{(58,1),(60,1),(62,1),(83,1),(86,1),(87,1),(99,1),(104,1)}
        75:{1,2,6}:{(59,1),(60,1),(63,1)}
        76:{1,2,4,7}:{(61,1),(62,1),(63,1),(87,1),(88,1)}
        77:{3,4,7}:{(64,1),(69,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(66,1),(67,1),(70,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(68,1),(71,1),(90,1),(91,1),(101,1)}
        80:{1,2,6,7}:{(67,1),(68,1),(75,1),(91,1)}
        81:{3,4,5}:{(69,1),(72,1),(92,1),(93,1),(102,1)}
        82:{1,4,6}:{(69,1),(70,1),(89,1),(92,1)}
        83:{2,4,6}:{(69,1),(71,1),(90,1),(93,1)}
        84:{1,2,5,6}:{(70,1),(71,1),(75,1),(91,1),(94,1),(95,1)}
        85:{1,3,5}:{(72,1),(73,1),(92,1),(95,1),(102,1)}
        86:{2,3,5}:{(72,1),(74,1),(93,1),(95,1),(102,1)}
        87:{1,2,4,6}:{(73,1),(74,1),(75,1),(76,1),(95,1),(96,1),(103,1)}
        88:{1,2,3,7}:{(76,1),(96,1),(101,1)}
        89:{1,4,7}:{(77,1),(78,1),(82,1)}
        90:{2,4,7}:{(77,1),(79,1),(83,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(80,1),(84,1),(97,1)}
        92:{1,4,5}:{(81,1),(82,1),(85,1)}
        93:{2,4,5}:{(81,1),(83,1),(86,1)}
        94:{1,2,4,6}:{(82,1),(83,1),(84,1),(97,1),(98,1),(99,1)}
        95:{1,2,5}:{(85,1),(86,1),(87,1)}
        96:{1,2,3,6}:{(87,1),(88,1),(99,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(94,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
        99:{3,6}:{(94,1),(101,1),(102,1)}
       100:{1,2,3,5}:{(95,1),(96,1),(102,1),(103,1)}
       101:{3,7}:{(97,1),(99,1)}
       102:{3,5}:{(98,1),(99,1),(104,1)}
       103:{1,2,4}:{(100,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1579 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(21,1),(24,1),(46,1),(82,1)}
         2:{1,2,3,5}:{(0,1),(4,1),(7,1)}
         3:{1,3,4,5}:{(4,1),(8,1),(20,1)}
         4:{1,2,4,5}:{(2,1),(3,1),(9,1),(10,1)}
         5:{1,2,3,5}:{(1,1),(11,1)}
         6:{1,2,3,4,7}:{(1,1),(13,1),(14,1),(35,1),(95,1)}
         7:{1,2,3,6}:{(2,1),(10,1),(14,1)}
         8:{1,3,4,6}:{(3,1),(10,1),(15,1),(16,1),(33,1)}
         9:{2,3,4,5}:{(4,1),(17,1),(20,1)}
        10:{1,2,4,6}:{(4,1),(7,1),(8,1),(17,1),(18,1),(19,1)}
        11:{1,2,4,5}:{(5,1),(20,1),(21,1)}
        12:{1,2,3,5,6}:{(5,1),(7,1),(18,1),(21,1),(23,1),(24,1),(43,1),(53,1),(77,1),(82,1)}
        13:{1,2,3,5,7}:{(5,1),(6,1),(22,1),(24,1)}
        14:{1,2,3,7}:{(7,1),(19,1)}
        15:{1,3,5,6}:{(8,1),(18,1),(25,1),(26,1),(43,1)}
        16:{1,3,4,7}:{(8,1),(19,1),(26,1),(50,1)}
        17:{2,3,4,6}:{(9,1),(10,1),(27,1),(28,1),(33,1)}
        18:{1,2,5,6}:{(10,1),(15,1),(27,1),(30,1)}
        19:{1,2,4,7}:{(10,1),(14,1),(16,1),(28,1),(30,1)}
        20:{3,4,5}:{(11,1),(33,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(33,1),(35,1)}
        22:{1,2,4,5,7}:{(11,1),(13,1),(34,1),(35,1),(36,1),(70,1)}
        23:{1,2,3,5,7}:{(12,1),(14,1),(30,1),(35,1),(37,1),(62,1),(70,1),(91,1),(95,1)}
        24:{1,2,3,6}:{(13,1),(36,1)}
        25:{1,4,5,6}:{(15,1),(38,1),(39,1)}
        26:{1,3,5,7}:{(15,1),(16,1),(30,1),(39,1),(40,1),(62,1)}
        27:{2,3,5,6}:{(17,1),(18,1),(41,1),(42,1),(43,1)}
        28:{2,3,4,7}:{(17,1),(19,1),(42,1),(50,1)}
        29:{1,2,4,5,6}:{(18,1),(21,1),(25,1),(41,1),(43,1),(44,1),(53,1),(54,1),(74,1),(77,1),(85,1)}
        30:{1,2,5,7}:{(18,1),(19,1),(26,1),(42,1),(45,1)}
        31:{2,3,4,5}:{(20,1),(47,1),(48,1)}
        32:{1,3,4,5}:{(20,1),(47,1),(49,1)}
        33:{3,4,6}:{(20,1),(21,1),(43,1),(50,1)}
        34:{3,4,5,7}:{(20,1),(22,1),(50,1),(51,1),(84,1)}
        35:{1,2,4,7}:{(21,1),(23,1),(50,1)}
        36:{1,2,4,6}:{(22,1),(24,1),(51,1),(53,1)}
        37:{1,2,3,6,7}:{(23,1),(24,1),(45,1),(52,1),(80,1),(101,1)}
        38:{3,4,5,6}:{(25,1),(43,1),(54,1),(55,1),(85,1)}
        39:{1,4,5,7}:{(25,1),(26,1),(55,1),(56,1)}
        40:{1,3,6,7}:{(26,1),(45,1),(56,1),(80,1)}
        41:{2,4,5,6}:{(27,1),(57,1),(58,1)}
        42:{2,3,5,7}:{(27,1),(28,1),(30,1),(58,1),(59,1),(62,1)}
        43:{3,5,6}:{(29,1),(33,1),(62,1)}
        44:{1,2,4,5,7}:{(29,1),(30,1),(35,1),(39,1),(58,1),(62,1),(63,1),(70,1),(71,1),(88,1),(91,1),(96,1)}
        45:{1,2,6,7}:{(30,1),(40,1),(59,1)}
        46:{1,2,3,4}:{(64,1)}
        47:{1,2,4,5}:{(31,1),(32,1),(64,1),(65,1)}
        48:{2,3,4,6}:{(31,1),(33,1),(60,1),(65,1),(66,1)}
        49:{1,3,4,6}:{(32,1),(33,1),(61,1),(65,1),(67,1)}
        50:{3,4,7}:{(33,1),(35,1),(62,1)}
        51:{3,4,6}:{(34,1),(36,1),(69,1)}
        52:{1,2,4,6,7}:{(35,1),(36,1),(37,1),(68,1),(70,1)}
        53:{1,2,5,6}:{(36,1),(69,1),(70,1)}
        54:{2,4,5,6}:{(38,1),(60,1),(71,1)}
        55:{3,4,5,7}:{(38,1),(39,1),(62,1),(71,1),(72,1),(96,1)}
        56:{1,4,6,7}:{(39,1),(40,1),(72,1),(73,1)}
        57:{3,4,5,6}:{(41,1),(43,1),(74,1),(75,1),(85,1)}
        58:{2,4,5,7}:{(41,1),(42,1),(75,1),(76,1)}
        59:{2,3,6,7}:{(42,1),(45,1),(76,1),(80,1)}
        60:{2,3,5,6}:{(43,1),(48,1),(54,1),(77,1),(78,1)}
        61:{1,3,5,6}:{(43,1),(49,1),(74,1),(77,1),(79,1)}
        62:{3,5,7}:{(43,1),(44,1),(50,1),(80,1)}
        63:{1,2,4,6,7}:{(44,1),(45,1),(56,1),(76,1),(80,1),(81,1),(86,1),(99,1),(101,1),(102,1)}
        64:{1,2,3,5}:{(46,1),(47,1),(82,1)}
        65:{1,2,4,6}:{(47,1),(48,1),(49,1),(77,1),(82,1),(83,1)}
        66:{2,3,4,7}:{(48,1),(50,1),(78,1),(83,1)}
        67:{1,3,4,7}:{(49,1),(50,1),(79,1),(83,1)}
        68:{3,4,6,7}:{(50,1),(51,1),(52,1),(80,1),(84,1),(102,1)}
        69:{3,5,6}:{(51,1),(53,1),(84,1),(85,1)}
        70:{1,2,5,7}:{(52,1),(53,1),(84,1)}
        71:{2,4,5,7}:{(54,1),(55,1),(78,1),(86,1)}
        72:{3,4,6,7}:{(55,1),(56,1),(80,1),(86,1),(87,1),(102,1)}
        73:{1,5,6,7}:{(56,1),(87,1)}
        74:{1,4,5,6}:{(57,1),(61,1),(88,1)}
        75:{3,4,5,7}:{(57,1),(58,1),(62,1),(88,1),(89,1),(96,1)}
        76:{2,4,6,7}:{(58,1),(59,1),(89,1),(90,1)}
        77:{1,2,5,6}:{(60,1),(61,1),(65,1),(91,1)}
        78:{2,3,5,7}:{(60,1),(62,1),(66,1),(71,1),(91,1),(92,1)}
        79:{1,3,5,7}:{(61,1),(62,1),(67,1),(88,1),(91,1),(93,1)}
        80:{3,6,7}:{(62,1),(63,1)}
        81:{1,2,5,6,7}:{(63,1),(70,1),(73,1),(90,1),(94,1),(97,1),(103,1)}
        82:{1,2,3,6}:{(64,1),(65,1),(95,1)}
        83:{1,2,4,7}:{(65,1),(66,1),(67,1),(91,1),(95,1)}
        84:{3,5,7}:{(68,1),(69,1),(70,1),(96,1)}
        85:{4,5,6}:{(69,1),(96,1)}
        86:{2,4,6,7}:{(71,1),(72,1),(92,1),(97,1)}
        87:{3,5,6,7}:{(72,1),(73,1),(97,1),(98,1)}
        88:{1,4,5,7}:{(74,1),(75,1),(79,1),(99,1)}
        89:{3,4,6,7}:{(75,1),(76,1),(80,1),(99,1),(100,1),(102,1)}
        90:{2,5,6,7}:{(76,1),(100,1)}
        91:{1,2,5,7}:{(77,1),(78,1),(79,1),(83,1),(101,1)}
        92:{2,3,6,7}:{(78,1),(80,1),(86,1),(101,1)}
        93:{1,3,6,7}:{(79,1),(80,1),(99,1),(101,1)}
        94:{3,5,6,7}:{(80,1),(81,1),(84,1),(102,1)}
        95:{1,2,3,7}:{(82,1),(83,1)}
        96:{4,5,7}:{(84,1),(85,1),(102,1)}
        97:{2,5,6,7}:{(86,1),(87,1)}
        98:{4,5,6,7}:{(87,1),(102,1)}
        99:{1,4,6,7}:{(88,1),(89,1),(93,1),(103,1)}
       100:{3,5,6,7}:{(89,1),(90,1),(103,1),(104,1)}
       101:{1,2,6,7}:{(91,1),(92,1),(93,1)}
       102:{4,6,7}:{(94,1),(96,1)}
       103:{1,5,6,7}:{(99,1),(100,1)}
       104:{4,5,6,7}:{(100,1),(102,1)}

1580 :   0:{1,2,3,6,7}:{(3,1),(4,1),(41,1),(74,1),(75,1),(79,1),(83,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(41,1),(46,1),(49,1),(75,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(45,1),(53,1),(74,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(7,1),(9,1),(25,1),(65,1),(68,1),(71,1),(89,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(26,1),(61,1),(66,1),(87,1),(88,1),(94,1)}
         5:{2,3,5,7}:{(1,1),(7,1),(10,1),(11,1),(26,1),(64,1),(67,1)}
         6:{1,3,5,7}:{(2,1),(7,1),(12,1),(13,1),(26,1),(63,1),(70,1)}
         7:{1,2,5,7}:{(3,1),(5,1),(6,1),(14,1),(82,1),(84,1),(85,1)}
         8:{1,2,3,5,6}:{(4,1),(14,1),(16,1),(41,1),(44,1),(77,1),(78,1),(79,1),(82,1),(83,1)}
         9:{1,2,4,7}:{(4,1),(16,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(14,1),(19,1),(41,1),(50,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(81,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(14,1),(22,1),(41,1),(54,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(80,1),(95,1)}
        14:{1,2,5,6}:{(7,1),(10,1),(12,1),(25,1),(69,1),(72,1)}
        15:{1,2,4,5,7}:{(7,1),(9,1),(11,1),(13,1),(25,1),(26,1),(27,1),(34,1),(38,1),(61,1),(93,1),(101,1)}
        16:{1,2,4,6}:{(8,1),(9,1),(27,1),(28,1),(90,1),(91,1)}
        17:{3,4,7}:{(9,1),(26,1),(28,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(24,1),(31,1),(57,1),(67,1),(88,1)}
        19:{2,4,6}:{(10,1),(11,1),(33,1)}
        20:{3,4,5,7}:{(11,1),(26,1),(33,1),(34,1),(62,1),(67,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(24,1),(35,1),(57,1),(70,1),(87,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(26,1),(37,1),(38,1),(62,1),(70,1),(86,1)}
        24:{1,2,5,6,7}:{(14,1),(18,1),(21,1),(39,1),(84,1),(85,1),(97,1)}
        25:{1,2,4,6}:{(14,1),(15,1),(19,1),(22,1),(41,1),(51,1),(55,1),(79,1)}
        26:{3,5,7}:{(15,1),(17,1),(41,1),(44,1),(99,1),(104,1)}
        27:{1,2,4,5}:{(16,1),(44,1),(80,1),(81,1),(82,1)}
        28:{3,4,6}:{(16,1),(17,1),(41,1),(44,1)}
        29:{1,3,4,7}:{(17,1),(42,1),(45,1),(47,1),(95,1),(104,1)}
        30:{2,3,4,7}:{(17,1),(43,1),(46,1),(47,1),(96,1),(104,1)}
        31:{2,4,6,7}:{(18,1),(19,1),(48,1),(49,1),(96,1)}
        32:{2,4,5,6}:{(19,1),(48,1),(50,1)}
        33:{3,4,6}:{(19,1),(20,1),(41,1),(50,1),(51,1)}
        34:{1,4,5,7}:{(20,1),(42,1),(51,1),(80,1),(84,1),(95,1)}
        35:{1,4,6,7}:{(21,1),(22,1),(52,1),(53,1),(95,1)}
        36:{1,4,5,6}:{(22,1),(52,1),(54,1)}
        37:{3,4,6}:{(22,1),(23,1),(41,1),(54,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(43,1),(55,1),(81,1),(85,1),(96,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(31,1),(35,1),(56,1),(57,1),(68,1),(71,1),(89,1),(101,1)}
        40:{1,2,4,5,6}:{(25,1),(27,1),(32,1),(36,1),(56,1),(58,1),(69,1),(72,1),(90,1),(91,1),(92,1)}
        41:{3,6}:{(25,1),(26,1)}
        42:{1,3,5,7}:{(26,1),(29,1),(34,1),(59,1),(61,1),(63,1)}
        43:{2,3,5,7}:{(26,1),(30,1),(38,1),(60,1),(61,1),(64,1)}
        44:{3,5}:{(27,1),(28,1)}
        45:{1,3,4,6}:{(28,1),(29,1),(59,1),(63,1),(65,1),(90,1),(102,1),(103,1)}
        46:{2,3,4,6}:{(28,1),(30,1),(60,1),(64,1),(65,1),(91,1),(102,1),(103,1)}
        47:{1,2,4,7}:{(29,1),(30,1),(61,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(31,1),(32,1),(67,1)}
        49:{3,4,6,7}:{(31,1),(33,1),(57,1),(67,1),(68,1),(86,1)}
        50:{3,5,6}:{(32,1),(33,1),(67,1),(69,1)}
        51:{1,4,6}:{(33,1),(34,1),(59,1),(69,1)}
        52:{1,4,5,7}:{(35,1),(36,1),(70,1)}
        53:{3,4,6,7}:{(35,1),(37,1),(57,1),(70,1),(71,1),(86,1)}
        54:{3,5,6}:{(36,1),(37,1),(70,1),(72,1)}
        55:{2,4,6}:{(37,1),(38,1),(60,1),(72,1)}
        56:{1,2,4,5,7}:{(39,1),(40,1),(48,1),(52,1),(73,1),(84,1),(85,1),(95,1),(96,1),(97,1)}
        57:{3,6,7}:{(39,1),(41,1),(73,1),(104,1)}
        58:{3,5,6}:{(40,1),(41,1),(44,1),(73,1),(76,1)}
        59:{1,3,6}:{(41,1),(42,1),(51,1),(79,1)}
        60:{2,3,6}:{(41,1),(43,1),(55,1),(79,1)}
        61:{1,2,5,7}:{(42,1),(43,1),(47,1),(79,1),(82,1)}
        62:{3,4,5}:{(44,1),(76,1),(80,1),(81,1),(99,1)}
        63:{1,3,5}:{(44,1),(45,1),(80,1),(82,1),(99,1)}
        64:{2,3,5}:{(44,1),(46,1),(81,1),(82,1),(99,1)}
        65:{1,2,4,6}:{(45,1),(46,1),(47,1),(79,1),(82,1),(83,1),(100,1)}
        66:{1,2,3,7}:{(47,1),(83,1),(104,1)}
        67:{3,5,7}:{(48,1),(49,1),(50,1),(84,1)}
        68:{1,4,6,7}:{(49,1),(51,1),(74,1),(84,1),(95,1)}
        69:{1,5,6}:{(50,1),(51,1),(84,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{2,4,6,7}:{(53,1),(55,1),(75,1),(85,1),(96,1)}
        72:{2,5,6}:{(54,1),(55,1),(85,1)}
        73:{3,5,7}:{(56,1),(57,1),(58,1),(86,1)}
        74:{1,3,6,7}:{(57,1),(59,1),(68,1),(87,1),(89,1)}
        75:{2,3,6,7}:{(57,1),(60,1),(71,1),(88,1),(89,1)}
        76:{3,4,6}:{(58,1),(62,1),(86,1),(90,1),(91,1),(102,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(69,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(64,1),(72,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,6}:{(59,1),(60,1),(61,1)}
        80:{1,4,5}:{(62,1),(63,1),(90,1)}
        81:{2,4,5}:{(62,1),(64,1),(91,1)}
        82:{1,2,5}:{(63,1),(64,1),(65,1)}
        83:{1,2,3,6}:{(65,1),(66,1),(94,1),(102,1)}
        84:{1,5,7}:{(67,1),(68,1),(69,1)}
        85:{2,5,7}:{(70,1),(71,1),(72,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,3,5,7}:{(73,1),(74,1),(77,1),(84,1),(95,1),(97,1),(104,1)}
        88:{2,3,5,7}:{(73,1),(75,1),(78,1),(85,1),(96,1),(97,1),(104,1)}
        89:{1,2,6,7}:{(74,1),(75,1),(79,1),(97,1)}
        90:{1,4,6}:{(76,1),(77,1),(80,1),(95,1)}
        91:{2,4,6}:{(76,1),(78,1),(81,1),(96,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(82,1),(97,1),(98,1)}
        93:{1,2,4,5}:{(80,1),(81,1),(82,1),(98,1),(99,1),(100,1)}
        94:{1,2,3,5}:{(82,1),(83,1),(99,1),(100,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,5,7}:{(87,1),(88,1),(89,1),(92,1),(101,1)}
        98:{1,2,4,6}:{(90,1),(91,1),(92,1),(93,1),(101,1),(102,1)}
        99:{3,5}:{(93,1),(102,1),(103,1)}
       100:{1,2,4}:{(94,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       102:{3,6}:{(98,1),(99,1),(104,1)}
       103:{3,4}:{(99,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1581 :   0:{1,2,3,6}:{(3,1),(4,1),(5,1),(75,1),(130,1)}
         1:{2,3,4,6}:{(5,1),(6,1),(7,1),(21,1),(29,1),(30,1),(73,1),(75,1)}
         2:{1,3,4,6}:{(5,1),(8,1),(9,1),(21,1),(34,1),(35,1),(73,1),(75,1)}
         3:{1,2,3,5}:{(0,1),(11,1),(13,1),(40,1),(44,1),(100,1)}
         4:{1,2,3,7}:{(0,1),(12,1),(109,1),(156,1),(191,1)}
         5:{1,2,4,6}:{(0,1),(1,1),(2,1),(11,1),(12,1),(13,1),(48,1)}
         6:{2,3,4,7}:{(1,1),(12,1),(15,1),(43,1),(54,1),(109,1),(192,1)}
         7:{2,3,5}:{(1,1),(13,1),(14,1),(44,1),(107,1)}
         8:{1,3,4,7}:{(2,1),(12,1),(18,1),(43,1),(60,1),(109,1),(193,1)}
         9:{1,3,5}:{(2,1),(13,1),(17,1),(44,1),(107,1)}
        10:{1,2,3,5,7}:{(3,1),(4,1),(22,1),(23,1),(25,1),(67,1),(74,1),(76,1),(127,1),(129,1)}
        11:{1,2,4}:{(3,1),(21,1)}
        12:{1,2,4,7}:{(4,1),(5,1),(6,1),(8,1),(25,1),(209,1)}
        13:{1,2,5}:{(5,1),(7,1),(9,1)}
        14:{2,4,5}:{(7,1),(27,1),(29,1),(137,1)}
        15:{2,3,5,7}:{(6,1),(7,1),(25,1),(28,1),(30,1),(74,1),(210,1),(228,1)}
        16:{2,3,5,6}:{(7,1),(26,1),(29,1),(30,1),(31,1),(65,1),(75,1),(84,1),(138,1)}
        17:{1,4,5}:{(9,1),(32,1),(34,1),(137,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(25,1),(33,1),(35,1),(74,1),(211,1),(229,1)}
        19:{1,3,5,6}:{(9,1),(26,1),(34,1),(35,1),(36,1),(37,1),(75,1),(90,1),(138,1)}
        20:{1,4,5,6}:{(34,1),(37,1),(38,1),(90,1),(147,1)}
        21:{3,4}:{(11,1),(44,1)}
        22:{1,2,3,6}:{(10,1),(45,1),(48,1),(108,1),(155,1)}
        23:{1,2,4,7}:{(10,1),(11,1),(43,1),(45,1),(153,1)}
        24:{1,2,4,5}:{(11,1),(13,1),(14,1),(17,1),(44,1),(47,1),(50,1),(56,1),(100,1)}
        25:{1,2,5,7}:{(12,1),(13,1),(15,1),(18,1),(48,1),(221,1),(230,1)}
        26:{1,2,5,6}:{(13,1),(16,1),(19,1),(47,1),(48,1),(49,1),(62,1),(95,1)}
        27:{3,4,5}:{(14,1),(44,1),(50,1),(52,1)}
        28:{2,4,5,7}:{(14,1),(15,1),(51,1),(53,1),(54,1),(116,1),(200,1),(226,1)}
        29:{2,4,6}:{(14,1),(16,1),(52,1),(54,1),(163,1)}
        30:{2,3,6}:{(15,1),(48,1),(53,1),(108,1)}
        31:{2,3,5,7}:{(16,1),(49,1),(54,1),(55,1),(96,1),(109,1),(116,1),(164,1)}
        32:{3,4,5}:{(17,1),(44,1),(56,1),(58,1)}
        33:{1,4,5,7}:{(17,1),(18,1),(57,1),(59,1),(60,1),(121,1),(197,1),(225,1)}
        34:{1,4,6}:{(17,1),(19,1),(58,1),(60,1),(163,1)}
        35:{1,3,6}:{(18,1),(48,1),(59,1),(108,1)}
        36:{1,3,5,7}:{(19,1),(49,1),(60,1),(61,1),(63,1),(109,1),(121,1),(164,1)}
        37:{3,5,6}:{(20,1),(58,1),(62,1),(63,1)}
        38:{1,4,5,7}:{(20,1),(60,1),(63,1),(64,1),(121,1),(170,1)}
        39:{2,4,5,6}:{(29,1),(65,1),(66,1),(84,1),(143,1)}
        40:{1,2,3}:{(68,1)}
        41:{2,3,4}:{(21,1),(68,1),(70,1)}
        42:{1,3,4}:{(21,1),(68,1),(72,1)}
        43:{3,4,7}:{(21,1),(23,1),(73,1),(74,1),(174,1),(184,1)}
        44:{3,5}:{(21,1),(24,1),(75,1)}
        45:{1,2,4,6}:{(22,1),(23,1),(73,1),(76,1)}
        46:{1,2,4,5,7}:{(23,1),(24,1),(25,1),(28,1),(33,1),(74,1),(76,1),(77,1),(78,1),(80,1),(86,1),(129,1),(137,1),(140,1),(175,1),(184,1),(213,1)}
        47:{1,2,4,6}:{(24,1),(26,1),(29,1),(34,1),(75,1),(78,1),(81,1),(87,1),(130,1)}
        48:{1,2,6}:{(25,1),(30,1),(35,1)}
        49:{1,2,5,7}:{(26,1),(31,1),(36,1),(78,1),(79,1),(92,1),(124,1)}
        50:{1,4,5}:{(27,1),(72,1),(81,1)}
        51:{3,4,5,7}:{(27,1),(28,1),(74,1),(80,1),(82,1),(83,1),(137,1),(144,1),(181,1),(184,1),(217,1)}
        52:{3,4,6}:{(27,1),(29,1),(65,1),(75,1),(81,1),(83,1)}
        53:{2,4,6}:{(28,1),(30,1),(82,1),(84,1)}
        54:{2,4,7}:{(29,1),(31,1),(83,1),(184,1)}
        55:{2,3,6,7}:{(30,1),(31,1),(79,1),(85,1),(125,1),(139,1),(228,1)}
        56:{2,4,5}:{(32,1),(70,1),(87,1)}
        57:{3,4,5,7}:{(32,1),(33,1),(74,1),(86,1),(88,1),(89,1),(137,1),(148,1),(178,1),(184,1),(215,1)}
        58:{3,4,6}:{(32,1),(34,1),(37,1),(75,1),(87,1),(89,1)}
        59:{1,4,6}:{(33,1),(35,1),(88,1),(90,1)}
        60:{1,4,7}:{(34,1),(36,1),(89,1),(184,1)}
        61:{1,3,6,7}:{(35,1),(36,1),(79,1),(91,1),(93,1),(139,1),(229,1)}
        62:{2,5,6}:{(37,1),(87,1),(92,1)}
        63:{3,5,7}:{(37,1),(38,1),(89,1),(92,1),(93,1)}
        64:{1,4,6,7}:{(38,1),(93,1),(94,1),(150,1)}
        65:{3,5,6}:{(39,1),(52,1),(95,1),(96,1)}
        66:{2,4,5,7}:{(39,1),(54,1),(96,1),(97,1),(116,1),(167,1)}
        67:{1,2,3,7}:{(40,1),(98,1),(99,1),(224,1),(230,1)}
        68:{1,2,4}:{(40,1),(41,1),(42,1),(100,1)}
        69:{2,3,4,7}:{(41,1),(43,1),(99,1),(101,1),(102,1),(199,1),(224,1)}
        70:{2,3,5}:{(41,1),(44,1),(56,1),(100,1),(103,1)}
        71:{1,3,4,7}:{(42,1),(43,1),(99,1),(104,1),(105,1),(202,1),(224,1)}
        72:{1,3,5}:{(42,1),(44,1),(50,1),(100,1),(106,1)}
        73:{3,4,6}:{(43,1),(45,1),(107,1),(108,1),(163,1)}
        74:{3,5,7}:{(43,1),(44,1),(46,1),(107,1),(108,1),(109,1),(194,1),(224,1)}
        75:{3,6}:{(44,1),(47,1),(109,1)}
        76:{1,2,5}:{(45,1),(107,1)}
        77:{1,2,4,6}:{(46,1),(48,1),(53,1),(59,1),(108,1),(110,1),(112,1),(117,1),(155,1),(163,1)}
        78:{1,2,4,7}:{(47,1),(49,1),(54,1),(60,1),(109,1),(113,1),(118,1),(156,1)}
        79:{1,2,6,7}:{(48,1),(49,1),(55,1),(61,1),(122,1),(151,1),(230,1)}
        80:{1,4,5,7}:{(50,1),(51,1),(105,1),(112,1),(113,1),(160,1),(166,1),(202,1)}
        81:{1,4,6}:{(50,1),(52,1),(95,1),(106,1),(113,1)}
        82:{3,4,6}:{(51,1),(53,1),(108,1),(112,1),(114,1),(163,1)}
        83:{3,4,7}:{(52,1),(54,1),(96,1),(109,1),(113,1)}
        84:{2,5,6}:{(53,1),(114,1),(116,1)}
        85:{2,4,6,7}:{(53,1),(54,1),(55,1),(115,1),(116,1),(220,1),(226,1)}
        86:{2,4,5,7}:{(56,1),(57,1),(102,1),(117,1),(118,1),(157,1),(169,1),(199,1)}
        87:{2,4,6}:{(56,1),(58,1),(62,1),(103,1),(118,1)}
        88:{3,4,6}:{(57,1),(59,1),(108,1),(117,1),(119,1),(163,1)}
        89:{3,4,7}:{(58,1),(60,1),(63,1),(109,1),(118,1)}
        90:{1,5,6}:{(59,1),(119,1),(121,1)}
        91:{1,4,6,7}:{(59,1),(60,1),(61,1),(120,1),(121,1),(207,1),(225,1)}
        92:{2,5,7}:{(62,1),(63,1),(118,1),(122,1)}
        93:{3,6,7}:{(63,1),(64,1),(122,1)}
        94:{1,5,6,7}:{(64,1),(121,1),(123,1),(207,1)}
        95:{1,5,6}:{(65,1),(81,1),(124,1)}
        96:{3,5,7}:{(65,1),(66,1),(83,1),(124,1),(125,1)}
        97:{2,4,6,7}:{(66,1),(125,1),(126,1),(173,1)}
        98:{1,2,3,6}:{(67,1),(127,1),(128,1),(212,1),(227,1)}
        99:{1,2,4,7}:{(67,1),(68,1),(69,1),(71,1),(128,1),(129,1)}
       100:{1,2,5}:{(68,1),(70,1),(72,1),(130,1)}
       101:{2,3,4,6}:{(69,1),(73,1),(128,1),(131,1),(132,1),(174,1),(179,1),(212,1)}
       102:{2,3,5,7}:{(69,1),(70,1),(74,1),(86,1),(129,1),(131,1),(132,1),(133,1)}
       103:{2,3,6}:{(70,1),(75,1),(87,1),(130,1),(133,1)}
       104:{1,3,4,6}:{(71,1),(73,1),(128,1),(134,1),(135,1),(174,1),(182,1),(212,1)}
       105:{1,3,5,7}:{(71,1),(72,1),(74,1),(80,1),(129,1),(134,1),(135,1),(136,1)}
       106:{1,3,6}:{(72,1),(75,1),(81,1),(130,1),(136,1)}
       107:{3,5}:{(73,1),(76,1),(137,1)}
       108:{3,6}:{(74,1),(77,1)}
       109:{3,7}:{(75,1),(78,1)}
       110:{1,2,5,6}:{(76,1),(77,1),(84,1),(90,1),(138,1),(140,1),(141,1),(145,1)}
       111:{1,2,4,6,7}:{(77,1),(78,1),(79,1),(85,1),(91,1),(139,1),(140,1),(142,1),(146,1),(177,1),(184,1),(213,1)}
       112:{1,4,6}:{(80,1),(82,1),(135,1),(141,1)}
       113:{1,4,7}:{(81,1),(83,1),(124,1),(136,1)}
       114:{3,5,6}:{(82,1),(84,1),(141,1),(143,1),(144,1)}
       115:{3,4,6,7}:{(82,1),(83,1),(85,1),(125,1),(139,1),(142,1),(144,1),(173,1),(184,1),(208,1),(217,1)}
       116:{2,5,7}:{(84,1),(85,1),(144,1)}
       117:{2,4,6}:{(86,1),(88,1),(132,1),(145,1)}
       118:{2,4,7}:{(87,1),(89,1),(92,1),(133,1)}
       119:{3,5,6}:{(88,1),(90,1),(145,1),(147,1),(148,1)}
       120:{3,4,6,7}:{(88,1),(89,1),(91,1),(93,1),(139,1),(146,1),(148,1),(150,1),(184,1),(189,1),(215,1)}
       121:{1,5,7}:{(90,1),(91,1),(148,1)}
       122:{2,6,7}:{(92,1),(93,1)}
       123:{3,5,6,7}:{(93,1),(94,1),(148,1),(149,1),(150,1),(189,1)}
       124:{1,5,7}:{(95,1),(96,1),(113,1),(151,1)}
       125:{3,6,7}:{(96,1),(97,1),(151,1)}
       126:{2,5,6,7}:{(97,1),(116,1),(152,1),(220,1)}
       127:{1,2,3,5}:{(98,1),(153,1),(154,1),(191,1),(194,1),(221,1)}
       128:{1,2,4,6}:{(98,1),(99,1),(101,1),(104,1),(153,1),(154,1),(155,1)}
       129:{1,2,5,7}:{(99,1),(100,1),(102,1),(105,1),(154,1),(155,1),(156,1)}
       130:{1,2,6}:{(100,1),(103,1),(106,1),(156,1)}
       131:{2,3,5}:{(101,1),(107,1),(154,1),(157,1),(194,1)}
       132:{2,3,6}:{(102,1),(108,1),(117,1),(155,1)}
       133:{2,3,7}:{(103,1),(109,1),(118,1),(156,1)}
       134:{1,3,5}:{(104,1),(107,1),(154,1),(160,1),(194,1)}
       135:{1,3,6}:{(105,1),(108,1),(112,1),(155,1)}
       136:{1,3,7}:{(106,1),(109,1),(113,1),(156,1)}
       137:{4,5}:{(107,1),(163,1)}
       138:{3,5,6}:{(107,1),(108,1),(110,1),(163,1),(164,1)}
       139:{3,6,7}:{(108,1),(109,1),(111,1),(164,1),(224,1)}
       140:{1,2,5,7}:{(110,1),(111,1),(116,1),(121,1),(164,1),(166,1),(169,1)}
       141:{1,5,6}:{(112,1),(114,1),(166,1)}
       142:{1,4,6,7}:{(112,1),(113,1),(115,1),(151,1),(162,1),(166,1),(202,1)}
       143:{4,5,6}:{(114,1),(163,1),(167,1)}
       144:{3,5,7}:{(114,1),(115,1),(116,1),(166,1),(167,1)}
       145:{2,5,6}:{(117,1),(119,1),(169,1)}
       146:{2,4,6,7}:{(117,1),(118,1),(120,1),(122,1),(159,1),(169,1),(199,1)}
       147:{4,5,6}:{(119,1),(163,1),(170,1)}
       148:{3,5,7}:{(119,1),(120,1),(121,1),(169,1),(170,1)}
       149:{2,5,6,7}:{(122,1),(123,1),(169,1),(171,1)}
       150:{4,6,7}:{(123,1),(170,1)}
       151:{1,6,7}:{(124,1),(125,1)}
       152:{3,5,6,7}:{(125,1),(126,1),(144,1),(172,1),(173,1),(208,1)}
       153:{1,2,4}:{(127,1),(174,1)}
       154:{1,2,5}:{(128,1),(131,1),(134,1)}
       155:{1,2,6}:{(129,1),(132,1),(135,1)}
       156:{1,2,7}:{(130,1),(133,1),(136,1)}
       157:{2,4,5}:{(131,1),(137,1),(178,1),(179,1)}
       158:{2,3,5,6}:{(131,1),(132,1),(138,1),(145,1),(176,1),(179,1),(180,1),(187,1),(212,1)}
       159:{2,3,6,7}:{(132,1),(133,1),(139,1),(146,1),(177,1),(180,1),(189,1)}
       160:{1,4,5}:{(134,1),(137,1),(181,1),(182,1)}
       161:{1,3,5,6}:{(134,1),(135,1),(138,1),(141,1),(176,1),(182,1),(183,1),(185,1),(212,1)}
       162:{1,3,6,7}:{(135,1),(136,1),(139,1),(142,1),(177,1),(183,1),(208,1)}
       163:{4,6}:{(137,1),(138,1),(184,1)}
       164:{3,5,7}:{(138,1),(139,1),(140,1),(184,1)}
       165:{1,4,5,6}:{(141,1),(143,1),(182,1),(185,1),(186,1)}
       166:{1,5,7}:{(141,1),(142,1),(144,1)}
       167:{4,5,7}:{(143,1),(144,1),(173,1),(184,1)}
       168:{2,4,5,6}:{(145,1),(147,1),(179,1),(187,1),(188,1)}
       169:{2,5,7}:{(145,1),(146,1),(148,1)}
       170:{4,5,7}:{(147,1),(148,1),(150,1),(184,1)}
       171:{2,4,6,7}:{(149,1),(150,1),(188,1),(189,1)}
       172:{1,5,6,7}:{(151,1),(152,1),(166,1),(190,1)}
       173:{4,6,7}:{(152,1),(167,1)}
       174:{3,4}:{(153,1),(194,1)}
       175:{1,2,4,5}:{(153,1),(154,1),(157,1),(160,1),(194,1),(195,1),(197,1),(200,1),(221,1)}
       176:{1,2,5,6}:{(154,1),(155,1),(158,1),(161,1),(195,1),(196,1),(203,1),(205,1)}
       177:{1,2,6,7}:{(155,1),(156,1),(159,1),(162,1),(196,1),(207,1),(220,1)}
       178:{3,4,5}:{(157,1),(194,1),(197,1),(198,1)}
       179:{2,4,6}:{(157,1),(158,1),(163,1),(198,1),(199,1)}
       180:{2,3,5,7}:{(158,1),(159,1),(164,1),(169,1),(196,1),(199,1),(206,1),(224,1)}
       181:{3,4,5}:{(160,1),(194,1),(200,1),(201,1)}
       182:{1,4,6}:{(160,1),(161,1),(163,1),(201,1),(202,1)}
       183:{1,3,5,7}:{(161,1),(162,1),(164,1),(166,1),(196,1),(202,1),(204,1),(224,1)}
       184:{4,7}:{(163,1),(164,1)}
       185:{3,5,6}:{(165,1),(201,1),(203,1),(204,1)}
       186:{1,4,5,7}:{(165,1),(166,1),(167,1),(190,1),(202,1),(204,1)}
       187:{3,5,6}:{(168,1),(198,1),(205,1),(206,1)}
       188:{2,4,5,7}:{(168,1),(169,1),(170,1),(171,1),(199,1),(206,1)}
       189:{3,6,7}:{(171,1),(206,1),(207,1)}
       190:{1,4,6,7}:{(172,1),(173,1),(186,1),(208,1)}
       191:{1,2,3}:{(209,1)}
       192:{2,3,4}:{(174,1),(209,1),(210,1)}
       193:{1,3,4}:{(174,1),(209,1),(211,1)}
       194:{3,5}:{(174,1),(175,1),(212,1)}
       195:{1,2,4,6}:{(175,1),(176,1),(179,1),(182,1),(212,1),(213,1),(214,1),(216,1),(227,1)}
       196:{1,2,5,7}:{(176,1),(177,1),(180,1),(183,1),(213,1),(218,1),(219,1)}
       197:{1,4,5}:{(178,1),(211,1),(214,1)}
       198:{3,4,6}:{(178,1),(179,1),(187,1),(212,1),(214,1),(215,1)}
       199:{2,4,7}:{(179,1),(180,1),(184,1),(215,1)}
       200:{2,4,5}:{(181,1),(210,1),(216,1)}
       201:{3,4,6}:{(181,1),(182,1),(185,1),(212,1),(216,1),(217,1)}
       202:{1,4,7}:{(182,1),(183,1),(184,1),(217,1)}
       203:{2,5,6}:{(185,1),(216,1),(218,1)}
       204:{3,5,7}:{(185,1),(186,1),(208,1),(217,1),(218,1)}
       205:{1,5,6}:{(187,1),(214,1),(219,1)}
       206:{3,5,7}:{(187,1),(188,1),(189,1),(215,1),(219,1)}
       207:{1,6,7}:{(189,1),(219,1)}
       208:{3,6,7}:{(190,1),(204,1),(220,1)}
       209:{1,2,4}:{(191,1),(192,1),(193,1),(221,1)}
       210:{2,3,5}:{(192,1),(194,1),(200,1),(221,1),(222,1)}
       211:{1,3,5}:{(193,1),(194,1),(197,1),(221,1),(223,1)}
       212:{3,6}:{(194,1),(195,1),(224,1)}
       213:{1,2,4,7}:{(195,1),(196,1),(199,1),(202,1),(224,1),(225,1),(226,1),(230,1)}
       214:{1,4,6}:{(197,1),(198,1),(205,1),(223,1),(225,1)}
       215:{3,4,7}:{(198,1),(199,1),(206,1),(224,1),(225,1)}
       216:{2,4,6}:{(200,1),(201,1),(203,1),(222,1),(226,1)}
       217:{3,4,7}:{(201,1),(202,1),(204,1),(224,1),(226,1)}
       218:{2,5,7}:{(203,1),(204,1),(220,1),(226,1)}
       219:{1,5,7}:{(205,1),(206,1),(207,1),(225,1)}
       220:{2,6,7}:{(208,1),(218,1)}
       221:{1,2,5}:{(209,1),(210,1),(211,1),(227,1)}
       222:{2,3,6}:{(210,1),(212,1),(216,1),(227,1),(228,1)}
       223:{1,3,6}:{(211,1),(212,1),(214,1),(227,1),(229,1)}
       224:{3,7}:{(212,1),(213,1)}
       225:{1,4,7}:{(214,1),(215,1),(219,1),(229,1)}
       226:{2,4,7}:{(216,1),(217,1),(218,1),(228,1)}
       227:{1,2,6}:{(221,1),(222,1),(223,1),(230,1)}
       228:{2,3,7}:{(222,1),(224,1),(226,1),(230,1)}
       229:{1,3,7}:{(223,1),(224,1),(225,1),(230,1)}
       230:{1,2,7}:{(227,1),(228,1),(229,1)}

1582 :   0:{1,3,4,5,7}:{(1,1),(2,1),(10,1),(41,1),(76,1),(84,1),(91,1),(122,1),(125,1),(130,1)}
         1:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(20,1),(26,1),(53,1),(63,1),(67,1)}
         2:{1,3,4,6}:{(0,1),(7,1),(8,1),(68,1),(147,1),(150,1),(155,1)}
         3:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(12,1),(39,1),(76,1),(81,1)}
         4:{1,3,5,6,7}:{(10,1),(11,1),(12,1),(13,1),(39,1),(121,1)}
         5:{1,4,5,6,7}:{(12,1),(13,1),(169,1)}
         6:{2,3,5,7}:{(1,1),(15,1),(16,1),(46,1),(125,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(47,1)}
         8:{1,3,5,6}:{(2,1),(10,1),(17,1),(18,1),(48,1),(84,1),(133,1)}
         9:{1,2,4,6,7}:{(3,1),(7,1),(19,1),(20,1),(53,1)}
        10:{1,3,5,7}:{(3,1),(8,1),(20,1),(21,1),(54,1),(107,1)}
        11:{1,2,5,6,7}:{(4,1),(20,1),(22,1),(23,1),(25,1),(96,1),(107,1)}
        12:{1,4,6,7}:{(4,1),(21,1),(24,1),(147,1)}
        13:{3,5,6,7}:{(5,1),(24,1),(25,1),(189,1)}
        14:{1,2,3,5,7}:{(6,1),(26,1),(27,1),(60,1),(63,1)}
        15:{2,3,4,7}:{(6,1),(26,1),(29,1),(53,1),(98,1)}
        16:{2,3,6}:{(6,1),(7,1),(150,1)}
        17:{1,2,5,6}:{(7,1),(8,1),(20,1),(30,1),(63,1)}
        18:{1,4,5,6}:{(8,1),(21,1),(32,1),(110,1),(147,1)}
        19:{2,3,6,7}:{(9,1),(16,1),(35,1),(39,1)}
        20:{1,2,5,7}:{(9,1),(10,1),(17,1),(35,1)}
        21:{1,4,5,7}:{(10,1),(12,1),(18,1),(37,1)}
        22:{2,3,5,6,7}:{(11,1),(35,1),(38,1),(39,1),(74,1),(80,1)}
        23:{1,2,4,6,7}:{(11,1),(12,1),(36,1),(38,1),(39,1),(40,1),(81,1),(82,1),(124,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(39,1),(40,1),(171,1)}
        25:{2,5,6,7}:{(13,1),(40,1),(202,1)}
        26:{1,2,4,7}:{(14,1),(15,1),(41,1),(43,1)}
        27:{1,2,3,6}:{(14,1),(16,1),(43,1),(83,1)}
        28:{2,3,4,5,7}:{(15,1),(42,1),(45,1),(46,1),(75,1),(89,1),(125,1),(136,1),(172,1),(179,1)}
        29:{2,3,4,6}:{(15,1),(16,1),(43,1),(46,1),(47,1),(88,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(35,1),(46,1),(47,1),(48,1)}
        31:{1,2,4,5,6}:{(17,1),(18,1),(36,1),(47,1),(48,1),(49,1),(79,1),(87,1),(92,1),(94,1),(124,1),(133,1)}
        32:{3,4,5,6}:{(18,1),(37,1),(48,1),(49,1),(136,1),(171,1)}
        33:{1,2,3,6,7}:{(19,1),(27,1),(50,1),(51,1),(58,1),(108,1),(150,1),(193,1),(194,1)}
        34:{2,3,4,6,7}:{(19,1),(29,1),(50,1),(52,1),(53,1),(57,1),(98,1),(100,1),(150,1)}
        35:{2,3,5,7}:{(19,1),(20,1),(30,1),(53,1),(54,1)}
        36:{1,2,4,5,7}:{(20,1),(21,1),(23,1),(31,1),(53,1),(54,1),(55,1),(56,1),(102,1),(104,1),(107,1)}
        37:{3,4,5,7}:{(21,1),(24,1),(32,1),(54,1),(55,1)}
        38:{2,4,6,7}:{(22,1),(53,1),(56,1),(57,1),(100,1)}
        39:{3,6,7}:{(23,1),(54,1),(150,1)}
        40:{2,4,6,7}:{(24,1),(25,1),(55,1),(59,1),(191,1)}
        41:{1,3,4,7}:{(26,1),(60,1),(61,1),(98,1),(158,1)}
        42:{1,2,4,5,7}:{(26,1),(28,1),(60,1),(62,1),(63,1),(110,1),(111,1),(158,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(29,1),(61,1),(63,1)}
        44:{1,2,3,5,6}:{(27,1),(30,1),(51,1),(63,1),(64,1),(69,1),(96,1),(109,1),(113,1),(150,1),(164,1),(165,1),(166,1),(194,1)}
        45:{2,3,4,6}:{(28,1),(62,1),(66,1),(100,1),(150,1),(159,1),(191,1)}
        46:{2,3,5}:{(29,1),(63,1),(67,1),(113,1)}
        47:{2,4,6}:{(30,1),(53,1),(67,1),(68,1)}
        48:{3,5,6}:{(31,1),(54,1),(68,1),(113,1),(150,1)}
        49:{2,4,5,6}:{(32,1),(55,1),(70,1),(161,1),(191,1)}
        50:{1,2,4,6,7}:{(33,1),(34,1),(43,1),(71,1),(72,1),(73,1),(81,1),(124,1),(203,1)}
        51:{1,2,3,5,7}:{(33,1),(35,1),(44,1),(72,1),(73,1),(77,1),(125,1),(134,1),(176,1),(177,1),(184,1)}
        52:{2,3,5,7}:{(34,1),(46,1),(72,1),(74,1),(75,1),(80,1),(125,1)}
        53:{2,4,7}:{(35,1),(47,1),(76,1)}
        54:{3,5,7}:{(36,1),(39,1),(48,1),(76,1)}
        55:{2,4,5,7}:{(37,1),(40,1),(49,1),(78,1)}
        56:{2,4,5,7}:{(38,1),(79,1),(80,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(76,1),(80,1),(81,1),(129,1)}
        58:{1,3,6,7}:{(39,1),(77,1),(81,1),(82,1),(174,1)}
        59:{2,3,6,7}:{(39,1),(40,1),(78,1),(82,1),(175,1)}
        60:{1,3,5,7}:{(41,1),(42,1),(83,1),(84,1),(125,1)}
        61:{1,3,4,6}:{(41,1),(43,1),(83,1),(84,1),(88,1),(135,1)}
        62:{1,2,4,6}:{(42,1),(45,1),(83,1),(86,1),(135,1)}
        63:{1,2,5}:{(43,1),(46,1),(84,1)}
        64:{1,2,4,6}:{(44,1),(47,1),(73,1),(87,1),(88,1),(92,1),(135,1),(181,1)}
        65:{2,3,4,6,7}:{(45,1),(85,1),(89,1),(128,1),(173,1),(179,1),(203,1)}
        66:{2,3,5,6}:{(45,1),(46,1),(86,1),(89,1),(90,1),(138,1),(202,1)}
        67:{2,4,5}:{(46,1),(47,1),(91,1)}
        68:{3,4,6}:{(47,1),(48,1),(76,1),(91,1),(92,1)}
        69:{1,3,5,6}:{(48,1),(77,1),(92,1),(94,1),(133,1),(139,1),(145,1),(174,1)}
        70:{2,3,5,6}:{(48,1),(49,1),(78,1),(93,1),(94,1),(140,1),(175,1)}
        71:{1,3,4,6,7}:{(50,1),(61,1),(95,1),(98,1),(108,1),(147,1),(150,1),(158,1),(190,1)}
        72:{1,2,5,7}:{(50,1),(52,1),(63,1),(95,1),(96,1),(107,1),(208,1)}
        73:{1,2,4,7}:{(51,1),(53,1),(64,1),(98,1),(102,1),(158,1),(196,1)}
        74:{2,3,5,6}:{(52,1),(96,1),(100,1),(106,1),(150,1)}
        75:{2,4,5,7}:{(52,1),(53,1),(67,1),(100,1),(101,1)}
        76:{3,4,7}:{(53,1),(54,1),(68,1),(102,1)}
        77:{1,3,5,7}:{(54,1),(58,1),(69,1),(102,1),(104,1),(107,1),(156,1)}
        78:{2,3,5,7}:{(54,1),(55,1),(59,1),(70,1),(103,1),(104,1)}
        79:{2,4,5,6}:{(56,1),(100,1),(106,1)}
        80:{3,5,7}:{(56,1),(57,1),(106,1),(107,1)}
        81:{1,4,6,7}:{(57,1),(58,1),(102,1),(107,1),(155,1)}
        82:{1,2,6,7}:{(58,1),(59,1),(104,1),(194,1)}
        83:{1,3,6}:{(60,1),(62,1),(150,1)}
        84:{1,3,5}:{(61,1),(63,1),(110,1),(113,1)}
        85:{1,2,4,6,7}:{(62,1),(65,1),(108,1),(111,1),(158,1)}
        86:{1,2,5,6}:{(62,1),(63,1),(66,1),(109,1),(111,1)}
        87:{1,2,4,5}:{(63,1),(64,1),(67,1),(110,1),(113,1),(118,1),(161,1),(165,1)}
        88:{3,4,6}:{(64,1),(98,1),(113,1),(150,1)}
        89:{2,3,5,7}:{(65,1),(66,1),(111,1),(116,1),(162,1),(208,1)}
        90:{2,4,5,6}:{(66,1),(67,1),(100,1),(116,1),(117,1)}
        91:{3,4,5}:{(67,1),(68,1),(113,1),(118,1)}
        92:{1,4,6}:{(68,1),(69,1),(102,1),(118,1)}
        93:{2,3,4,6}:{(68,1),(70,1),(103,1),(119,1),(120,1)}
        94:{1,2,5,6}:{(69,1),(70,1),(104,1),(120,1),(165,1),(194,1)}
        95:{1,3,5,7}:{(71,1),(72,1),(84,1),(121,1),(122,1),(125,1),(201,1)}
        96:{1,2,5,6}:{(72,1),(74,1),(121,1),(124,1),(133,1),(202,1)}
        97:{1,2,4,5,7}:{(72,1),(73,1),(75,1),(87,1),(122,1),(124,1),(125,1),(130,1),(172,1),(176,1)}
        98:{3,4,7}:{(73,1),(88,1),(125,1)}
        99:{2,3,5,6,7}:{(74,1),(89,1),(123,1),(128,1),(132,1),(173,1)}
       100:{2,4,6}:{(74,1),(75,1),(129,1)}
       101:{3,4,5,7}:{(75,1),(76,1),(80,1),(91,1),(125,1),(129,1),(130,1)}
       102:{1,4,7}:{(76,1),(77,1),(92,1)}
       103:{2,3,4,7}:{(76,1),(78,1),(93,1),(131,1)}
       104:{1,2,5,7}:{(77,1),(78,1),(82,1),(94,1),(131,1)}
       105:{2,4,5,6,7}:{(79,1),(128,1),(132,1)}
       106:{3,5,6}:{(79,1),(80,1),(129,1),(133,1)}
       107:{1,5,7}:{(80,1),(81,1),(133,1)}
       108:{1,3,6,7}:{(83,1),(85,1),(134,1),(173,1)}
       109:{1,3,5,6}:{(83,1),(84,1),(86,1),(134,1),(135,1),(138,1)}
       110:{1,4,5}:{(84,1),(135,1),(136,1)}
       111:{1,2,5,7}:{(85,1),(86,1),(89,1),(134,1)}
       112:{1,2,4,5,6}:{(86,1),(87,1),(90,1),(124,1),(135,1),(137,1),(138,1),(143,1),(169,1),(181,1),(185,1),(202,1)}
       113:{3,5}:{(87,1),(88,1)}
       114:{1,3,4,6}:{(88,1),(92,1),(126,1),(139,1),(141,1),(145,1),(174,1),(187,1)}
       115:{2,3,4,6}:{(88,1),(127,1),(140,1),(141,1),(175,1),(181,1),(206,1),(207,1)}
       116:{2,4,5,7}:{(89,1),(90,1),(128,1),(142,1)}
       117:{3,4,5,6}:{(90,1),(91,1),(129,1),(138,1),(142,1),(143,1)}
       118:{1,4,5}:{(91,1),(92,1),(139,1)}
       119:{2,3,4,5}:{(91,1),(93,1),(140,1),(144,1),(207,1)}
       120:{1,2,4,6}:{(92,1),(93,1),(94,1),(131,1),(144,1),(145,1)}
       121:{1,3,5,6}:{(95,1),(96,1),(147,1),(150,1),(189,1)}
       122:{1,4,5,7}:{(95,1),(110,1),(147,1),(148,1),(158,1)}
       123:{1,2,5,6,7}:{(96,1),(99,1),(111,1),(146,1),(149,1),(157,1),(208,1)}
       124:{1,2,4,6}:{(96,1),(97,1),(100,1),(147,1),(150,1),(155,1),(191,1),(194,1)}
       125:{3,5,7}:{(97,1),(98,1),(113,1),(150,1)}
       126:{1,3,4,7}:{(98,1),(102,1),(114,1),(151,1),(153,1),(156,1)}
       127:{2,3,4,7}:{(98,1),(115,1),(152,1),(153,1),(196,1),(209,1)}
       128:{2,4,6,7}:{(99,1),(100,1),(116,1),(154,1)}
       129:{3,4,6}:{(100,1),(101,1),(106,1),(150,1),(155,1)}
       130:{1,4,5,7}:{(101,1),(102,1),(107,1),(118,1),(151,1),(155,1)}
       131:{1,2,4,7}:{(102,1),(103,1),(104,1),(120,1),(156,1)}
       132:{3,5,6,7}:{(105,1),(106,1),(154,1),(157,1)}
       133:{1,5,6}:{(106,1),(107,1),(155,1)}
       134:{1,3,5,7}:{(108,1),(109,1),(111,1),(158,1),(162,1)}
       135:{1,4,6}:{(109,1),(110,1),(158,1),(159,1)}
       136:{3,4,5}:{(110,1),(113,1),(159,1),(161,1)}
       137:{1,2,4,5,7}:{(111,1),(112,1),(116,1),(149,1),(158,1),(162,1),(167,1),(188,1),(196,1),(199,1),(208,1)}
       138:{3,5,6}:{(112,1),(113,1),(150,1),(159,1),(162,1)}
       139:{1,3,5}:{(113,1),(114,1),(118,1),(165,1)}
       140:{2,3,5}:{(113,1),(115,1),(161,1),(165,1)}
       141:{1,2,4,6}:{(114,1),(115,1),(153,1),(165,1),(166,1),(194,1),(200,1)}
       142:{3,4,5,7}:{(116,1),(117,1),(154,1),(162,1),(167,1)}
       143:{1,4,5,6}:{(117,1),(118,1),(155,1),(163,1),(167,1)}
       144:{1,2,4,5}:{(118,1),(119,1),(120,1),(165,1),(168,1),(200,1)}
       145:{1,3,6}:{(120,1),(156,1),(168,1)}
       146:{1,3,5,6,7}:{(121,1),(123,1),(134,1),(170,1),(173,1),(201,1)}
       147:{1,4,6}:{(121,1),(122,1),(171,1)}
       148:{3,4,5,7}:{(122,1),(125,1),(136,1),(171,1),(172,1),(179,1),(201,1)}
       149:{1,2,4,6,7}:{(123,1),(124,1),(128,1),(137,1),(170,1),(173,1),(178,1),(203,1),(204,1)}
       150:{3,6}:{(124,1),(125,1)}
       151:{1,3,5,7}:{(125,1),(126,1),(130,1),(139,1),(174,1),(176,1)}
       152:{2,3,5,7}:{(125,1),(127,1),(140,1),(172,1),(175,1),(176,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(141,1),(176,1),(177,1)}
       154:{3,4,6,7}:{(128,1),(129,1),(132,1),(142,1),(173,1),(178,1)}
       155:{1,4,6}:{(129,1),(130,1),(133,1),(174,1)}
       156:{1,3,7}:{(131,1),(145,1)}
       157:{1,5,6,7}:{(132,1),(133,1),(178,1)}
       158:{1,4,7}:{(134,1),(135,1),(179,1)}
       159:{3,4,6}:{(135,1),(136,1),(138,1),(179,1),(181,1)}
       160:{1,3,4,5}:{(136,1),(139,1),(180,1),(182,1),(187,1)}
       161:{2,4,5}:{(136,1),(140,1),(181,1)}
       162:{3,5,7}:{(137,1),(138,1),(173,1),(179,1)}
       163:{1,3,5,6}:{(138,1),(139,1),(143,1),(174,1),(180,1),(183,1),(185,1)}
       164:{2,3,5,6}:{(138,1),(140,1),(175,1),(181,1),(184,1),(185,1),(202,1),(206,1)}
       165:{1,2,5}:{(139,1),(140,1),(141,1)}
       166:{1,2,3,6}:{(141,1),(145,1),(177,1),(186,1),(206,1)}
       167:{1,4,5,7}:{(142,1),(143,1),(178,1),(183,1)}
       168:{1,3,5}:{(144,1),(145,1),(187,1)}
       169:{1,4,5,6}:{(147,1),(188,1),(189,1)}
       170:{1,4,6,7}:{(146,1),(147,1),(158,1),(188,1),(190,1)}
       171:{3,4,6}:{(147,1),(148,1),(150,1),(189,1),(191,1)}
       172:{2,4,5,7}:{(148,1),(152,1),(161,1),(191,1),(196,1),(208,1)}
       173:{3,6,7}:{(149,1),(150,1),(162,1)}
       174:{1,3,6}:{(150,1),(151,1),(155,1),(194,1)}
       175:{2,3,6}:{(150,1),(152,1),(191,1),(194,1)}
       176:{1,2,5,7}:{(151,1),(152,1),(153,1),(165,1),(194,1)}
       177:{1,2,3,7}:{(153,1),(156,1),(166,1),(209,1)}
       178:{1,4,6,7}:{(154,1),(155,1),(157,1),(167,1),(192,1)}
       179:{3,4,7}:{(158,1),(159,1),(162,1),(196,1)}
       180:{1,3,4,6}:{(159,1),(160,1),(163,1),(195,1),(197,1)}
       181:{2,4,6}:{(159,1),(161,1),(164,1),(196,1)}
       182:{1,2,4,5}:{(160,1),(161,1),(165,1),(197,1),(198,1),(200,1)}
       183:{1,3,5,7}:{(162,1),(163,1),(167,1),(192,1),(195,1),(199,1)}
       184:{2,3,5,7}:{(162,1),(164,1),(193,1),(196,1),(199,1),(208,1),(209,1)}
       185:{1,2,5,6}:{(163,1),(164,1),(165,1),(194,1),(197,1),(199,1)}
       186:{1,2,3,5}:{(165,1),(166,1),(168,1),(198,1),(200,1)}
       187:{1,3,4}:{(168,1),(200,1)}
       188:{1,4,5,7}:{(169,1),(170,1),(201,1)}
       189:{3,5,6}:{(169,1),(171,1),(201,1),(202,1)}
       190:{3,4,6,7}:{(170,1),(171,1),(173,1),(179,1),(201,1),(203,1)}
       191:{2,4,6}:{(171,1),(172,1),(175,1),(202,1)}
       192:{1,3,6,7}:{(173,1),(174,1),(178,1),(183,1),(204,1)}
       193:{2,3,6,7}:{(173,1),(175,1),(184,1),(203,1),(204,1)}
       194:{1,2,6}:{(174,1),(175,1),(176,1)}
       195:{1,3,4,7}:{(179,1),(180,1),(183,1),(205,1)}
       196:{2,4,7}:{(179,1),(181,1),(184,1)}
       197:{1,2,4,6}:{(180,1),(181,1),(182,1),(185,1),(205,1),(206,1)}
       198:{2,3,5}:{(182,1),(206,1),(207,1)}
       199:{1,2,5,7}:{(183,1),(184,1),(185,1),(204,1),(205,1)}
       200:{1,2,4}:{(186,1),(187,1),(207,1)}
       201:{3,5,7}:{(188,1),(189,1),(190,1),(208,1)}
       202:{2,5,6}:{(189,1),(191,1),(208,1)}
       203:{2,4,6,7}:{(190,1),(191,1),(193,1),(196,1),(208,1)}
       204:{1,2,6,7}:{(192,1),(193,1),(194,1),(199,1)}
       205:{1,2,4,7}:{(195,1),(196,1),(197,1),(199,1),(209,1)}
       206:{2,3,6}:{(197,1),(198,1),(209,1)}
       207:{2,3,4}:{(198,1),(200,1)}
       208:{2,5,7}:{(201,1),(202,1),(203,1)}
       209:{2,3,7}:{(205,1),(206,1)}

1583 :   0:{2,3,4,5,7}:{(4,1),(5,1),(7,1),(51,1),(65,1),(97,1),(104,1),(109,1),(112,1),(117,1)}
         1:{2,3,4,6,7}:{(5,1),(6,1),(7,1),(9,1),(32,1),(65,1),(70,1)}
         2:{2,3,5,6,7}:{(7,1),(8,1),(9,1),(10,1),(32,1),(108,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(158,1)}
         4:{1,2,4,5,7}:{(0,1),(11,1),(12,1),(15,1),(34,1),(44,1),(75,1),(79,1)}
         5:{2,3,4,6}:{(0,1),(12,1),(13,1),(80,1),(135,1),(138,1),(143,1)}
         6:{1,2,4,6,7}:{(1,1),(12,1),(14,1),(15,1),(44,1)}
         7:{2,3,5,7}:{(1,1),(13,1),(15,1),(16,1),(45,1),(95,1)}
         8:{1,2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(20,1),(84,1),(95,1)}
         9:{2,4,6,7}:{(2,1),(16,1),(19,1),(135,1)}
        10:{3,5,6,7}:{(3,1),(19,1),(20,1),(180,1)}
        11:{1,3,5,7}:{(4,1),(22,1),(23,1),(56,1),(112,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(23,1),(24,1),(57,1)}
        13:{2,3,5,6}:{(5,1),(7,1),(24,1),(25,1),(58,1),(97,1),(120,1)}
        14:{1,3,6,7}:{(6,1),(23,1),(28,1),(32,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(24,1),(28,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(25,1),(30,1)}
        17:{1,3,5,6,7}:{(8,1),(28,1),(31,1),(32,1),(63,1),(69,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(29,1),(31,1),(32,1),(33,1),(70,1),(71,1),(111,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(30,1),(32,1),(33,1),(160,1)}
        20:{1,5,6,7}:{(10,1),(33,1),(196,1)}
        21:{1,2,3,5,7}:{(11,1),(34,1),(35,1),(72,1),(75,1)}
        22:{1,3,4,7}:{(11,1),(34,1),(37,1),(44,1),(86,1)}
        23:{1,3,6}:{(11,1),(12,1),(138,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(15,1),(38,1),(75,1)}
        25:{2,4,5,6}:{(13,1),(16,1),(40,1),(123,1),(135,1)}
        26:{1,2,3,6,7}:{(14,1),(35,1),(41,1),(42,1),(50,1),(121,1),(138,1),(183,1),(185,1)}
        27:{1,3,4,6,7}:{(14,1),(37,1),(41,1),(43,1),(44,1),(48,1),(86,1),(88,1),(138,1)}
        28:{1,3,5,7}:{(14,1),(15,1),(38,1),(44,1),(45,1)}
        29:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(46,1),(47,1),(91,1),(92,1),(95,1)}
        30:{3,4,5,7}:{(16,1),(19,1),(40,1),(45,1),(46,1)}
        31:{1,4,6,7}:{(17,1),(44,1),(47,1),(48,1),(88,1)}
        32:{3,6,7}:{(18,1),(45,1),(138,1)}
        33:{1,4,6,7}:{(19,1),(20,1),(46,1),(49,1),(182,1)}
        34:{1,2,4,7}:{(21,1),(22,1),(51,1),(53,1)}
        35:{1,2,3,6}:{(21,1),(23,1),(53,1),(96,1)}
        36:{1,3,4,5,7}:{(22,1),(52,1),(55,1),(56,1),(64,1),(102,1),(112,1),(148,1),(161,1),(186,1)}
        37:{1,3,4,6}:{(22,1),(23,1),(53,1),(56,1),(57,1),(101,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(28,1),(56,1),(57,1),(58,1)}
        39:{1,2,4,5,6}:{(24,1),(25,1),(29,1),(57,1),(58,1),(59,1),(68,1),(100,1),(106,1),(107,1),(111,1),(120,1)}
        40:{3,4,5,6}:{(25,1),(30,1),(58,1),(59,1),(148,1),(160,1)}
        41:{1,2,4,6,7}:{(26,1),(27,1),(53,1),(60,1),(61,1),(62,1),(70,1),(111,1),(197,1)}
        42:{1,2,3,5,7}:{(26,1),(28,1),(54,1),(61,1),(62,1),(67,1),(112,1),(146,1),(165,1),(166,1),(190,1)}
        43:{1,3,5,7}:{(27,1),(56,1),(61,1),(63,1),(64,1),(69,1),(112,1)}
        44:{1,4,7}:{(28,1),(57,1),(65,1)}
        45:{3,5,7}:{(29,1),(32,1),(58,1),(65,1)}
        46:{1,4,5,7}:{(30,1),(33,1),(59,1),(66,1)}
        47:{1,4,5,7}:{(31,1),(68,1),(69,1)}
        48:{3,4,6,7}:{(31,1),(32,1),(65,1),(69,1),(70,1),(116,1)}
        49:{1,3,6,7}:{(32,1),(33,1),(66,1),(71,1),(163,1)}
        50:{2,3,6,7}:{(32,1),(67,1),(70,1),(71,1),(164,1)}
        51:{2,3,4,7}:{(34,1),(72,1),(73,1),(86,1),(168,1)}
        52:{1,2,4,5,7}:{(34,1),(36,1),(72,1),(74,1),(75,1),(123,1),(124,1),(168,1)}
        53:{1,2,4,6}:{(34,1),(35,1),(37,1),(73,1),(75,1)}
        54:{1,2,3,5,6}:{(35,1),(38,1),(42,1),(75,1),(76,1),(82,1),(84,1),(122,1),(126,1),(138,1),(173,1),(175,1),(176,1),(185,1)}
        55:{1,3,4,6}:{(36,1),(74,1),(78,1),(88,1),(138,1),(169,1),(182,1)}
        56:{1,3,5}:{(37,1),(75,1),(79,1),(126,1)}
        57:{1,4,6}:{(38,1),(44,1),(79,1),(80,1)}
        58:{3,5,6}:{(39,1),(45,1),(80,1),(126,1),(138,1)}
        59:{1,4,5,6}:{(40,1),(46,1),(81,1),(170,1),(182,1)}
        60:{2,3,4,6,7}:{(41,1),(73,1),(83,1),(86,1),(121,1),(135,1),(138,1),(168,1),(181,1)}
        61:{1,2,5,7}:{(41,1),(43,1),(75,1),(83,1),(84,1),(95,1),(205,1)}
        62:{1,2,4,7}:{(42,1),(44,1),(76,1),(86,1),(91,1),(168,1),(199,1)}
        63:{1,3,5,6}:{(43,1),(84,1),(88,1),(94,1),(138,1)}
        64:{1,4,5,7}:{(43,1),(44,1),(79,1),(88,1),(89,1)}
        65:{3,4,7}:{(44,1),(45,1),(80,1),(91,1)}
        66:{1,3,5,7}:{(45,1),(46,1),(49,1),(81,1),(90,1),(92,1)}
        67:{2,3,5,7}:{(45,1),(50,1),(82,1),(91,1),(92,1),(95,1),(144,1)}
        68:{1,4,5,6}:{(47,1),(88,1),(94,1)}
        69:{3,5,7}:{(47,1),(48,1),(94,1),(95,1)}
        70:{2,4,6,7}:{(48,1),(50,1),(91,1),(95,1),(143,1)}
        71:{1,2,6,7}:{(49,1),(50,1),(92,1),(185,1)}
        72:{2,3,5,7}:{(51,1),(52,1),(96,1),(97,1),(112,1)}
        73:{2,3,4,6}:{(51,1),(53,1),(96,1),(97,1),(101,1),(147,1)}
        74:{1,2,4,6}:{(52,1),(55,1),(96,1),(99,1),(147,1)}
        75:{1,2,5}:{(53,1),(56,1),(97,1)}
        76:{1,2,4,6}:{(54,1),(57,1),(62,1),(100,1),(101,1),(106,1),(147,1),(187,1)}
        77:{1,3,4,6,7}:{(55,1),(98,1),(102,1),(115,1),(162,1),(186,1),(197,1)}
        78:{1,3,5,6}:{(55,1),(56,1),(99,1),(102,1),(103,1),(150,1),(196,1)}
        79:{1,4,5}:{(56,1),(57,1),(104,1)}
        80:{3,4,6}:{(57,1),(58,1),(65,1),(104,1),(106,1)}
        81:{1,3,5,6}:{(58,1),(59,1),(66,1),(105,1),(107,1),(151,1),(163,1)}
        82:{2,3,5,6}:{(58,1),(67,1),(106,1),(107,1),(120,1),(152,1),(157,1),(164,1)}
        83:{2,3,5,7}:{(60,1),(61,1),(97,1),(108,1),(109,1),(112,1),(195,1)}
        84:{1,2,5,6}:{(61,1),(63,1),(108,1),(111,1),(120,1),(196,1)}
        85:{1,2,4,5,7}:{(61,1),(62,1),(64,1),(100,1),(109,1),(111,1),(112,1),(117,1),(161,1),(165,1)}
        86:{3,4,7}:{(62,1),(101,1),(112,1)}
        87:{1,3,5,6,7}:{(63,1),(102,1),(110,1),(115,1),(119,1),(162,1)}
        88:{1,4,6}:{(63,1),(64,1),(116,1)}
        89:{3,4,5,7}:{(64,1),(65,1),(69,1),(104,1),(112,1),(116,1),(117,1)}
        90:{1,3,4,7}:{(65,1),(66,1),(105,1),(118,1)}
        91:{2,4,7}:{(65,1),(67,1),(106,1)}
        92:{1,2,5,7}:{(66,1),(67,1),(71,1),(107,1),(118,1)}
        93:{1,4,5,6,7}:{(68,1),(115,1),(119,1)}
        94:{3,5,6}:{(68,1),(69,1),(116,1),(120,1)}
        95:{2,5,7}:{(69,1),(70,1),(120,1)}
        96:{2,3,6}:{(72,1),(74,1),(138,1)}
        97:{2,3,5}:{(73,1),(75,1),(123,1),(126,1)}
        98:{1,2,4,6,7}:{(74,1),(77,1),(121,1),(124,1),(168,1)}
        99:{1,2,5,6}:{(74,1),(75,1),(78,1),(122,1),(124,1)}
       100:{1,2,4,5}:{(75,1),(76,1),(79,1),(123,1),(126,1),(132,1),(170,1),(175,1)}
       101:{3,4,6}:{(76,1),(86,1),(126,1),(138,1)}
       102:{1,3,5,7}:{(77,1),(78,1),(124,1),(129,1),(172,1),(205,1)}
       103:{1,4,5,6}:{(78,1),(79,1),(88,1),(129,1),(130,1)}
       104:{3,4,5}:{(79,1),(80,1),(126,1),(132,1)}
       105:{1,3,4,6}:{(80,1),(81,1),(90,1),(131,1),(133,1)}
       106:{2,4,6}:{(80,1),(82,1),(91,1),(132,1)}
       107:{1,2,5,6}:{(81,1),(82,1),(92,1),(133,1),(175,1),(185,1)}
       108:{2,3,5,6}:{(83,1),(84,1),(135,1),(138,1),(180,1)}
       109:{2,4,5,7}:{(83,1),(123,1),(135,1),(136,1),(168,1)}
       110:{1,2,5,6,7}:{(84,1),(87,1),(124,1),(134,1),(137,1),(145,1),(205,1)}
       111:{1,2,4,6}:{(84,1),(85,1),(88,1),(135,1),(138,1),(143,1),(182,1),(185,1)}
       112:{3,5,7}:{(85,1),(86,1),(126,1),(138,1)}
       113:{1,3,4,7}:{(86,1),(127,1),(139,1),(141,1),(199,1),(209,1)}
       114:{2,3,4,7}:{(86,1),(91,1),(128,1),(140,1),(141,1),(144,1)}
       115:{1,4,6,7}:{(87,1),(88,1),(129,1),(142,1)}
       116:{3,4,6}:{(88,1),(89,1),(94,1),(138,1),(143,1)}
       117:{2,4,5,7}:{(89,1),(91,1),(95,1),(132,1),(140,1),(143,1)}
       118:{1,2,4,7}:{(90,1),(91,1),(92,1),(133,1),(144,1)}
       119:{3,5,6,7}:{(93,1),(94,1),(142,1),(145,1)}
       120:{2,5,6}:{(94,1),(95,1),(143,1)}
       121:{2,3,6,7}:{(96,1),(98,1),(146,1),(162,1)}
       122:{2,3,5,6}:{(96,1),(97,1),(99,1),(146,1),(147,1),(150,1)}
       123:{2,4,5}:{(97,1),(147,1),(148,1)}
       124:{1,2,5,7}:{(98,1),(99,1),(102,1),(146,1)}
       125:{1,2,4,5,6}:{(99,1),(100,1),(103,1),(111,1),(147,1),(149,1),(150,1),(155,1),(158,1),(187,1),(192,1),(196,1)}
       126:{3,5}:{(100,1),(101,1)}
       127:{1,3,4,6}:{(101,1),(113,1),(151,1),(153,1),(163,1),(187,1),(207,1),(208,1)}
       128:{2,3,4,6}:{(101,1),(106,1),(114,1),(152,1),(153,1),(157,1),(164,1),(194,1)}
       129:{1,4,5,7}:{(102,1),(103,1),(115,1),(154,1)}
       130:{3,4,5,6}:{(103,1),(104,1),(116,1),(150,1),(154,1),(155,1)}
       131:{1,3,4,5}:{(104,1),(105,1),(151,1),(156,1),(208,1)}
       132:{2,4,5}:{(104,1),(106,1),(152,1)}
       133:{1,2,4,6}:{(105,1),(106,1),(107,1),(118,1),(156,1),(157,1)}
       134:{2,3,5,6,7}:{(108,1),(110,1),(146,1),(159,1),(162,1),(195,1)}
       135:{2,4,6}:{(108,1),(109,1),(160,1)}
       136:{3,4,5,7}:{(109,1),(112,1),(148,1),(160,1),(161,1),(186,1),(195,1)}
       137:{1,2,4,6,7}:{(110,1),(111,1),(115,1),(149,1),(159,1),(162,1),(167,1),(197,1),(198,1)}
       138:{3,6}:{(111,1),(112,1)}
       139:{1,3,5,7}:{(112,1),(113,1),(151,1),(161,1),(163,1),(165,1)}
       140:{2,3,5,7}:{(112,1),(114,1),(117,1),(152,1),(164,1),(165,1)}
       141:{1,2,4,7}:{(113,1),(114,1),(153,1),(165,1),(166,1)}
       142:{3,4,6,7}:{(115,1),(116,1),(119,1),(154,1),(162,1),(167,1)}
       143:{2,4,6}:{(116,1),(117,1),(120,1),(164,1)}
       144:{2,3,7}:{(118,1),(157,1)}
       145:{2,5,6,7}:{(119,1),(120,1),(167,1)}
       146:{2,3,5,7}:{(121,1),(122,1),(124,1),(168,1),(172,1)}
       147:{2,4,6}:{(122,1),(123,1),(168,1),(169,1)}
       148:{3,4,5}:{(123,1),(126,1),(169,1),(170,1)}
       149:{1,2,4,5,7}:{(124,1),(125,1),(129,1),(137,1),(168,1),(172,1),(177,1),(179,1),(199,1),(203,1),(205,1)}
       150:{3,5,6}:{(125,1),(126,1),(138,1),(169,1),(172,1)}
       151:{1,3,5}:{(126,1),(127,1),(170,1),(175,1)}
       152:{2,3,5}:{(126,1),(128,1),(132,1),(175,1)}
       153:{1,2,4,6}:{(127,1),(128,1),(141,1),(175,1),(176,1),(185,1),(204,1)}
       154:{3,4,5,7}:{(129,1),(130,1),(142,1),(172,1),(177,1)}
       155:{2,4,5,6}:{(130,1),(132,1),(143,1),(174,1),(177,1)}
       156:{1,2,4,5}:{(131,1),(132,1),(133,1),(175,1),(178,1),(204,1)}
       157:{2,3,6}:{(133,1),(144,1),(178,1)}
       158:{2,4,5,6}:{(135,1),(179,1),(180,1)}
       159:{2,4,6,7}:{(134,1),(135,1),(168,1),(179,1),(181,1)}
       160:{3,4,6}:{(135,1),(136,1),(138,1),(180,1),(182,1)}
       161:{1,4,5,7}:{(136,1),(139,1),(170,1),(182,1),(199,1),(205,1)}
       162:{3,6,7}:{(137,1),(138,1),(172,1)}
       163:{1,3,6}:{(138,1),(139,1),(182,1),(185,1)}
       164:{2,3,6}:{(138,1),(140,1),(143,1),(185,1)}
       165:{1,2,5,7}:{(139,1),(140,1),(141,1),(175,1),(185,1)}
       166:{1,2,3,7}:{(141,1),(144,1),(176,1),(209,1)}
       167:{2,4,6,7}:{(142,1),(143,1),(145,1),(177,1),(184,1)}
       168:{2,4,7}:{(146,1),(147,1),(186,1)}
       169:{3,4,6}:{(147,1),(148,1),(150,1),(186,1),(187,1)}
       170:{1,4,5}:{(148,1),(151,1),(187,1)}
       171:{2,3,4,5}:{(148,1),(152,1),(188,1),(189,1),(194,1)}
       172:{3,5,7}:{(149,1),(150,1),(162,1),(186,1)}
       173:{1,3,5,6}:{(150,1),(151,1),(163,1),(187,1),(190,1),(192,1),(196,1),(207,1)}
       174:{2,3,5,6}:{(150,1),(152,1),(155,1),(164,1),(188,1),(191,1),(192,1)}
       175:{1,2,5}:{(151,1),(152,1),(153,1)}
       176:{1,2,3,6}:{(153,1),(157,1),(166,1),(193,1),(207,1)}
       177:{2,4,5,7}:{(154,1),(155,1),(167,1),(191,1)}
       178:{2,3,5}:{(156,1),(157,1),(194,1)}
       179:{2,4,5,7}:{(158,1),(159,1),(195,1)}
       180:{3,5,6}:{(158,1),(160,1),(195,1),(196,1)}
       181:{3,4,6,7}:{(159,1),(160,1),(162,1),(186,1),(195,1),(197,1)}
       182:{1,4,6}:{(160,1),(161,1),(163,1),(196,1)}
       183:{1,3,6,7}:{(162,1),(163,1),(190,1),(197,1),(198,1)}
       184:{2,3,6,7}:{(162,1),(164,1),(167,1),(191,1),(198,1)}
       185:{1,2,6}:{(163,1),(164,1),(165,1)}
       186:{3,4,7}:{(168,1),(169,1),(172,1),(199,1)}
       187:{1,4,6}:{(169,1),(170,1),(173,1),(199,1)}
       188:{2,3,4,6}:{(169,1),(171,1),(174,1),(200,1),(201,1)}
       189:{1,2,4,5}:{(170,1),(171,1),(175,1),(201,1),(202,1),(204,1)}
       190:{1,3,5,7}:{(172,1),(173,1),(183,1),(199,1),(203,1),(205,1),(209,1)}
       191:{2,3,5,7}:{(172,1),(174,1),(177,1),(184,1),(200,1),(203,1)}
       192:{1,2,5,6}:{(173,1),(174,1),(175,1),(185,1),(201,1),(203,1)}
       193:{1,2,3,5}:{(175,1),(176,1),(178,1),(202,1),(204,1)}
       194:{2,3,4}:{(178,1),(204,1)}
       195:{3,5,7}:{(179,1),(180,1),(181,1),(205,1)}
       196:{1,5,6}:{(180,1),(182,1),(205,1)}
       197:{1,4,6,7}:{(181,1),(182,1),(183,1),(199,1),(205,1)}
       198:{1,2,6,7}:{(183,1),(184,1),(185,1),(203,1)}
       199:{1,4,7}:{(186,1),(187,1),(190,1)}
       200:{2,3,4,7}:{(186,1),(188,1),(191,1),(206,1)}
       201:{1,2,4,6}:{(187,1),(188,1),(189,1),(192,1),(206,1),(207,1)}
       202:{1,3,5}:{(189,1),(207,1),(208,1)}
       203:{1,2,5,7}:{(190,1),(191,1),(192,1),(198,1),(206,1)}
       204:{1,2,4}:{(193,1),(194,1),(208,1)}
       205:{1,5,7}:{(195,1),(196,1),(197,1)}
       206:{1,2,4,7}:{(199,1),(200,1),(201,1),(203,1),(209,1)}
       207:{1,3,6}:{(201,1),(202,1),(209,1)}
       208:{1,3,4}:{(202,1),(204,1)}
       209:{1,3,7}:{(206,1),(207,1)}

1584 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(19,1),(20,1),(21,1),(44,1),(76,1),(95,1),(96,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(114,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(16,1),(20,1),(124,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(14,1),(76,1),(100,1),(122,1)}
         4:{1,2,4,5,6}:{(2,1),(10,1),(26,1),(27,1),(31,1)}
         5:{3,5,7}:{(2,1),(3,1),(10,1),(132,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(59,1),(60,1),(88,1),(89,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(59,1),(60,1),(90,1),(91,1),(114,1)}
         8:{3,4,5,7}:{(5,1),(14,1),(15,1),(16,1),(43,1),(100,1),(101,1)}
         9:{1,2,4,5,6,7}:{(4,1),(17,1),(40,1),(41,1),(44,1),(67,1),(109,1)}
        10:{3,5,6}:{(4,1),(5,1),(14,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(15,1),(18,1),(20,1),(43,1),(105,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(16,1),(19,1),(20,1),(43,1),(107,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(42,1),(46,1),(103,1)}
        14:{3,4,6}:{(8,1),(10,1),(26,1),(27,1),(59,1)}
        15:{1,4,5,7}:{(8,1),(11,1),(26,1),(112,1),(113,1)}
        16:{2,4,5,7}:{(8,1),(12,1),(27,1),(114,1),(115,1)}
        17:{3,5,6,7}:{(9,1),(10,1),(25,1),(84,1),(121,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(26,1),(31,1),(59,1)}
        19:{2,3,5,6}:{(10,1),(12,1),(27,1),(31,1),(59,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(31,1),(118,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(59,1),(86,1),(88,1),(90,1)}
        22:{3,4,5,6}:{(14,1),(33,1),(34,1),(35,1),(68,1),(101,1),(127,1)}
        23:{2,3,4,5,7}:{(16,1),(36,1),(37,1),(43,1),(63,1),(75,1),(100,1),(101,1),(107,1),(126,1),(137,1)}
        24:{1,3,4,5,7}:{(15,1),(38,1),(39,1),(43,1),(65,1),(72,1),(100,1),(101,1),(105,1),(125,1),(137,1)}
        25:{3,4,6,7}:{(14,1),(17,1),(33,1),(40,1),(41,1),(76,1),(100,1),(127,1)}
        26:{1,4,6}:{(14,1),(15,1),(18,1)}
        27:{2,4,6}:{(14,1),(16,1),(19,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(20,1),(42,1),(43,1),(46,1),(79,1)}
        29:{1,3,5,6,7}:{(17,1),(18,1),(40,1),(44,1),(65,1),(76,1),(96,1),(129,1)}
        30:{2,3,5,6,7}:{(17,1),(19,1),(41,1),(44,1),(63,1),(76,1),(98,1),(130,1)}
        31:{1,2,5,6}:{(18,1),(19,1),(20,1),(42,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(46,1),(96,1),(98,1)}
        33:{3,4,5,7}:{(22,1),(25,1),(49,1),(50,1),(84,1)}
        34:{1,4,5,6}:{(22,1),(26,1),(48,1),(49,1),(113,1),(134,1)}
        35:{2,4,5,6}:{(22,1),(27,1),(47,1),(50,1),(115,1),(135,1)}
        36:{2,3,4,6}:{(23,1),(27,1),(47,1),(53,1),(59,1),(85,1),(135,1),(139,1)}
        37:{1,2,4,5,7}:{(23,1),(53,1),(54,1),(80,1),(87,1),(112,1),(113,1),(118,1)}
        38:{1,3,4,6}:{(24,1),(26,1),(48,1),(56,1),(59,1),(85,1),(134,1),(139,1)}
        39:{1,2,4,5,7}:{(24,1),(56,1),(57,1),(82,1),(87,1),(114,1),(115,1),(118,1)}
        40:{1,4,6,7}:{(25,1),(26,1),(29,1),(49,1),(112,1),(134,1)}
        41:{2,4,6,7}:{(25,1),(27,1),(30,1),(50,1),(114,1),(135,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(59,1)}
        43:{3,5,7}:{(28,1),(59,1),(60,1),(93,1)}
        44:{1,2,5,6,7}:{(29,1),(30,1),(31,1),(58,1),(80,1),(82,1),(136,1)}
        45:{1,2,3,5,6}:{(31,1),(32,1),(59,1),(62,1),(81,1),(83,1),(86,1),(93,1),(118,1)}
        46:{1,2,4,7}:{(32,1),(60,1),(62,1),(112,1),(114,1)}
        47:{2,3,5,6}:{(35,1),(36,1),(63,1),(64,1),(68,1),(107,1)}
        48:{1,3,5,6}:{(34,1),(38,1),(65,1),(66,1),(68,1),(105,1)}
        49:{1,4,5,7}:{(33,1),(34,1),(40,1),(65,1)}
        50:{2,4,5,7}:{(33,1),(35,1),(41,1),(63,1)}
        51:{1,2,4,5,6}:{(34,1),(35,1),(42,1),(64,1),(66,1),(67,1),(68,1),(79,1),(97,1),(99,1),(124,1),(138,1)}
        52:{2,3,4,6,7}:{(36,1),(41,1),(63,1),(70,1),(76,1),(100,1)}
        53:{1,2,4,6}:{(36,1),(37,1),(64,1),(71,1),(97,1)}
        54:{1,3,5,7}:{(37,1),(43,1),(71,1),(72,1),(105,1),(137,1)}
        55:{1,3,4,6,7}:{(38,1),(40,1),(65,1),(73,1),(76,1),(100,1)}
        56:{1,2,4,6}:{(38,1),(39,1),(66,1),(74,1),(99,1)}
        57:{2,3,5,7}:{(39,1),(43,1),(74,1),(75,1),(107,1),(137,1)}
        58:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(44,1),(67,1),(76,1),(138,1)}
        59:{3,6}:{(42,1),(43,1)}
        60:{3,4,7}:{(43,1),(46,1),(77,1)}
        61:{1,2,3,5,6,7}:{(44,1),(45,1),(76,1),(78,1),(96,1),(98,1),(102,1),(108,1),(128,1),(129,1),(130,1)}
        62:{1,2,4,6}:{(45,1),(46,1),(77,1),(79,1),(97,1),(99,1)}
        63:{2,3,5,7}:{(47,1),(50,1),(52,1),(80,1),(84,1)}
        64:{1,2,5,6}:{(47,1),(53,1),(80,1),(81,1),(118,1)}
        65:{1,3,5,7}:{(48,1),(49,1),(55,1),(82,1),(84,1)}
        66:{1,2,5,6}:{(48,1),(56,1),(82,1),(83,1),(118,1)}
        67:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(58,1),(80,1),(82,1),(84,1),(112,1),(114,1)}
        68:{3,5,6}:{(51,1),(59,1),(84,1),(85,1),(93,1),(132,1),(139,1)}
        69:{1,2,3,5,7}:{(54,1),(57,1),(86,1),(87,1),(118,1)}
        70:{1,2,4,6,7}:{(52,1),(53,1),(80,1),(88,1),(112,1)}
        71:{1,3,6}:{(53,1),(54,1),(59,1),(139,1)}
        72:{1,3,4,7}:{(54,1),(60,1),(87,1),(89,1),(112,1),(131,1)}
        73:{1,2,4,6,7}:{(55,1),(56,1),(82,1),(90,1),(114,1)}
        74:{2,3,6}:{(56,1),(57,1),(59,1),(139,1)}
        75:{2,3,4,7}:{(57,1),(60,1),(87,1),(91,1),(114,1),(131,1)}
        76:{3,6,7}:{(58,1),(59,1),(84,1),(139,1)}
        77:{3,4,6}:{(59,1),(60,1),(62,1),(93,1)}
        78:{1,2,4,6,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(114,1),(134,1),(135,1)}
        79:{1,2,4,5}:{(62,1),(93,1),(113,1),(115,1),(118,1)}
        80:{1,2,5,7}:{(63,1),(64,1),(70,1),(96,1)}
        81:{1,3,5,6}:{(64,1),(68,1),(71,1),(96,1),(97,1),(105,1)}
        82:{1,2,5,7}:{(65,1),(66,1),(73,1),(98,1)}
        83:{2,3,5,6}:{(66,1),(68,1),(74,1),(98,1),(99,1),(107,1)}
        84:{3,5,7}:{(67,1),(68,1),(76,1),(100,1)}
        85:{3,4,6}:{(68,1),(97,1),(99,1),(100,1),(101,1)}
        86:{1,2,3,6}:{(69,1),(71,1),(74,1),(103,1)}
        87:{1,2,4,7}:{(69,1),(72,1),(75,1),(103,1)}
        88:{1,3,6,7}:{(70,1),(71,1),(76,1),(96,1)}
        89:{1,3,4,6}:{(71,1),(72,1),(77,1),(97,1),(103,1),(105,1),(122,1)}
        90:{2,3,6,7}:{(73,1),(74,1),(76,1),(98,1)}
        91:{2,3,4,6}:{(74,1),(75,1),(77,1),(99,1),(103,1),(107,1),(122,1)}
        92:{3,4,6,7}:{(76,1),(77,1),(78,1),(100,1),(108,1),(127,1)}
        93:{3,5}:{(77,1),(79,1)}
        94:{1,2,4,5,7}:{(78,1),(79,1),(108,1),(109,1),(125,1),(126,1),(128,1)}
        95:{1,2,3,5,6}:{(81,1),(83,1),(86,1),(110,1),(111,1),(118,1),(132,1),(136,1),(139,1)}
        96:{1,3,5,7}:{(80,1),(81,1),(84,1),(88,1),(112,1)}
        97:{1,4,6}:{(81,1),(85,1),(112,1),(113,1)}
        98:{2,3,5,7}:{(82,1),(83,1),(84,1),(90,1),(114,1)}
        99:{2,4,6}:{(83,1),(85,1),(114,1),(115,1)}
       100:{3,4,7}:{(84,1),(85,1),(112,1),(114,1)}
       101:{3,4,5}:{(85,1),(93,1),(113,1),(115,1),(132,1)}
       102:{1,2,3,6,7}:{(86,1),(88,1),(90,1),(110,1),(117,1),(139,1)}
       103:{1,2,4,6}:{(86,1),(87,1),(89,1),(91,1),(118,1)}
       104:{1,3,4,6,7}:{(88,1),(89,1),(92,1),(112,1),(117,1),(119,1),(131,1),(134,1),(139,1)}
       105:{1,3,5}:{(89,1),(93,1),(113,1),(118,1),(132,1)}
       106:{2,3,4,6,7}:{(90,1),(91,1),(92,1),(114,1),(117,1),(120,1),(131,1),(135,1),(139,1)}
       107:{2,3,5}:{(91,1),(93,1),(115,1),(118,1),(132,1)}
       108:{3,5,7}:{(92,1),(93,1),(94,1),(121,1)}
       109:{1,2,4,5,6}:{(94,1),(121,1),(134,1),(135,1),(136,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(102,1),(123,1),(128,1),(137,1)}
       111:{1,2,4,6}:{(95,1),(97,1),(99,1),(122,1),(123,1),(124,1)}
       112:{1,4,7}:{(96,1),(97,1),(100,1)}
       113:{1,4,5}:{(97,1),(101,1),(105,1)}
       114:{2,4,7}:{(98,1),(99,1),(100,1)}
       115:{2,4,5}:{(99,1),(101,1),(107,1)}
       116:{3,4,5,7}:{(100,1),(101,1),(108,1),(125,1),(126,1),(127,1),(137,1)}
       117:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(106,1),(123,1),(128,1),(138,1)}
       118:{1,2,5}:{(103,1),(105,1),(107,1)}
       119:{1,3,5,7}:{(104,1),(105,1),(108,1),(125,1),(128,1),(129,1),(137,1)}
       120:{2,3,5,7}:{(106,1),(107,1),(108,1),(126,1),(128,1),(130,1),(137,1)}
       121:{3,5,6}:{(108,1),(109,1),(127,1)}
       122:{3,4,6}:{(111,1),(131,1),(132,1),(139,1)}
       123:{1,2,4,7}:{(110,1),(111,1),(112,1),(114,1),(131,1)}
       124:{1,2,4,5}:{(111,1),(113,1),(115,1),(118,1),(132,1)}
       125:{1,4,5,7}:{(112,1),(113,1),(116,1),(119,1),(134,1)}
       126:{2,4,5,7}:{(114,1),(115,1),(116,1),(120,1),(135,1)}
       127:{3,4,6}:{(116,1),(121,1),(134,1),(135,1),(139,1)}
       128:{1,2,5,7}:{(117,1),(118,1),(119,1),(120,1),(136,1)}
       129:{1,3,5,6}:{(119,1),(121,1),(134,1),(136,1),(139,1)}
       130:{2,3,5,6}:{(120,1),(121,1),(135,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(137,1)}
       132:{3,5}:{(122,1),(124,1)}
       133:{1,2,4,5,7}:{(123,1),(124,1),(125,1),(126,1),(128,1),(137,1),(138,1)}
       134:{1,4,6}:{(125,1),(127,1),(129,1)}
       135:{2,4,6}:{(126,1),(127,1),(130,1)}
       136:{1,2,5,6}:{(128,1),(129,1),(130,1),(138,1)}
       137:{3,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       138:{1,2,4,6}:{(133,1),(134,1),(135,1),(136,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1585 :   0:{2,4,5,6,7}:{(1,1),(13,1),(115,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(5,1),(144,1)}
         2:{2,3,4,5,7}:{(7,1),(8,1),(10,1),(59,1),(72,1),(75,1),(108,1),(117,1),(123,1),(129,1)}
         3:{2,3,4,6,7}:{(7,1),(10,1),(11,1),(13,1),(39,1),(75,1),(78,1)}
         4:{3,4,6,7}:{(1,1),(9,1),(12,1),(13,1),(39,1),(127,1)}
         5:{1,5,6,7}:{(1,1),(12,1),(169,1)}
         6:{2,3,5,6,7}:{(1,1),(10,1),(13,1),(14,1),(39,1),(73,1)}
         7:{2,3,4,6}:{(2,1),(16,1),(17,1),(89,1),(98,1),(152,1),(156,1)}
         8:{1,2,4,5,7}:{(2,1),(17,1),(18,1),(21,1),(42,1),(54,1),(86,1),(90,1)}
         9:{3,4,5,7}:{(4,1),(15,1),(19,1),(20,1),(53,1)}
        10:{2,3,5,7}:{(3,1),(16,1),(20,1),(21,1),(53,1),(104,1)}
        11:{1,2,4,6,7}:{(3,1),(17,1),(21,1),(22,1),(54,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(19,1),(23,1),(154,1)}
        13:{2,4,6,7}:{(4,1),(6,1),(20,1),(98,1)}
        14:{1,2,5,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(96,1),(104,1)}
        15:{3,4,5,6}:{(9,1),(27,1),(28,1),(65,1),(127,1),(161,1)}
        16:{2,3,5,6}:{(7,1),(10,1),(28,1),(29,1),(65,1),(108,1),(132,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(29,1),(30,1),(66,1)}
        18:{1,3,5,7}:{(8,1),(30,1),(31,1),(67,1),(123,1)}
        19:{1,4,5,7}:{(9,1),(12,1),(27,1),(34,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(13,1),(28,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(29,1),(36,1)}
        22:{1,3,6,7}:{(11,1),(30,1),(36,1),(39,1)}
        23:{1,3,6,7}:{(12,1),(34,1),(38,1),(39,1),(175,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(35,1),(38,1),(39,1),(40,1),(78,1),(124,1)}
        25:{1,3,5,6,7}:{(14,1),(36,1),(39,1),(40,1),(77,1),(79,1)}
        26:{1,2,3,5,7}:{(18,1),(41,1),(42,1),(83,1),(86,1)}
        27:{1,4,5,6}:{(15,1),(19,1),(43,1),(154,1),(181,1)}
        28:{2,4,5,6}:{(15,1),(16,1),(20,1),(98,1),(135,1)}
        29:{1,2,5,6}:{(16,1),(17,1),(21,1),(45,1),(86,1)}
        30:{1,3,6}:{(17,1),(18,1),(152,1)}
        31:{1,3,4,7}:{(18,1),(42,1),(46,1),(54,1),(94,1)}
        32:{1,2,3,6,7}:{(22,1),(41,1),(49,1),(50,1),(56,1),(137,1),(152,1),(190,1),(192,1)}
        33:{2,3,4,6,7}:{(50,1),(51,1),(82,1),(94,1),(98,1),(137,1),(152,1),(155,1),(183,1)}
        34:{1,3,5,7}:{(19,1),(23,1),(43,1),(48,1),(52,1),(53,1)}
        35:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(24,1),(44,1),(52,1),(53,1),(54,1),(58,1),(100,1),(104,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(45,1),(53,1),(54,1)}
        37:{1,3,4,6,7}:{(22,1),(46,1),(50,1),(54,1),(55,1),(57,1),(94,1),(102,1),(152,1)}
        38:{1,2,6,7}:{(23,1),(52,1),(56,1),(190,1)}
        39:{3,6,7}:{(24,1),(53,1),(152,1)}
        40:{1,4,6,7}:{(25,1),(54,1),(57,1),(58,1),(102,1)}
        41:{1,2,3,6}:{(26,1),(30,1),(62,1),(109,1)}
        42:{1,2,4,7}:{(26,1),(31,1),(59,1),(62,1)}
        43:{1,3,5,6}:{(27,1),(34,1),(60,1),(64,1),(65,1),(166,1),(175,1)}
        44:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(35,1),(64,1),(65,1),(66,1),(80,1),(112,1),(116,1),(124,1),(132,1)}
        45:{1,3,5,6}:{(29,1),(30,1),(36,1),(65,1),(66,1),(67,1)}
        46:{1,3,4,6}:{(30,1),(31,1),(62,1),(66,1),(67,1),(111,1)}
        47:{1,3,4,5,7}:{(31,1),(63,1),(67,1),(68,1),(76,1),(119,1),(123,1),(126,1),(161,1),(197,1)}
        48:{1,3,4,7}:{(34,1),(60,1),(69,1),(75,1)}
        49:{1,2,3,5,7}:{(32,1),(36,1),(61,1),(70,1),(71,1),(74,1),(120,1),(123,1),(163,1),(173,1),(200,1)}
        50:{1,2,4,6,7}:{(32,1),(33,1),(37,1),(62,1),(70,1),(71,1),(78,1),(124,1),(177,1)}
        51:{2,3,5,7}:{(33,1),(71,1),(72,1),(73,1),(108,1),(123,1),(170,1)}
        52:{1,2,5,7}:{(34,1),(38,1),(64,1),(69,1),(74,1)}
        53:{3,5,7}:{(35,1),(39,1),(65,1),(75,1)}
        54:{1,4,7}:{(36,1),(66,1),(75,1)}
        55:{1,3,5,7}:{(37,1),(67,1),(71,1),(76,1),(77,1),(79,1),(123,1)}
        56:{2,3,6,7}:{(38,1),(39,1),(74,1),(78,1),(174,1)}
        57:{3,4,6,7}:{(39,1),(40,1),(75,1),(78,1),(79,1),(130,1)}
        58:{1,4,5,7}:{(40,1),(79,1),(80,1)}
        59:{2,3,4,7}:{(42,1),(82,1),(83,1),(94,1),(183,1)}
        60:{1,3,4,6}:{(43,1),(48,1),(81,1),(84,1),(89,1)}
        61:{1,2,3,5,6}:{(41,1),(45,1),(49,1),(85,1),(86,1),(88,1),(96,1),(136,1),(138,1),(141,1),(152,1),(184,1),(186,1),(190,1)}
        62:{1,2,4,6}:{(41,1),(42,1),(46,1),(82,1),(86,1)}
        63:{1,2,4,5,7}:{(42,1),(47,1),(83,1),(86,1),(87,1),(135,1),(143,1),(183,1)}
        64:{1,2,5,6}:{(43,1),(52,1),(84,1),(88,1),(184,1),(190,1)}
        65:{3,5,6}:{(44,1),(53,1),(89,1),(141,1),(152,1)}
        66:{1,4,6}:{(45,1),(54,1),(89,1),(90,1)}
        67:{1,3,5}:{(46,1),(86,1),(90,1),(141,1)}
        68:{1,3,4,6}:{(47,1),(87,1),(91,1),(102,1),(152,1),(154,1),(182,1)}
        69:{1,2,4,7}:{(48,1),(52,1),(84,1),(93,1),(100,1)}
        70:{1,2,4,7}:{(49,1),(54,1),(85,1),(94,1),(100,1),(183,1),(205,1)}
        71:{1,2,5,7}:{(50,1),(51,1),(55,1),(86,1),(96,1),(104,1),(188,1)}
        72:{2,4,5,7}:{(51,1),(97,1),(98,1),(135,1),(183,1)}
        73:{2,3,5,6}:{(51,1),(96,1),(98,1),(144,1),(152,1)}
        74:{2,3,5,7}:{(52,1),(53,1),(56,1),(88,1),(93,1),(100,1),(104,1)}
        75:{3,4,7}:{(53,1),(54,1),(89,1),(100,1)}
        76:{1,4,5,7}:{(54,1),(55,1),(90,1),(101,1),(102,1)}
        77:{1,3,5,6}:{(55,1),(96,1),(102,1),(105,1),(152,1)}
        78:{2,4,6,7}:{(56,1),(57,1),(100,1),(104,1),(156,1)}
        79:{3,5,7}:{(57,1),(58,1),(104,1),(105,1)}
        80:{1,4,5,6}:{(58,1),(102,1),(105,1)}
        81:{1,3,4,5}:{(60,1),(107,1),(117,1),(166,1),(193,1)}
        82:{2,3,4,6}:{(59,1),(62,1),(108,1),(109,1),(111,1),(162,1)}
        83:{2,3,5,7}:{(59,1),(63,1),(108,1),(109,1),(123,1)}
        84:{1,2,4,6}:{(60,1),(64,1),(69,1),(107,1),(110,1),(116,1)}
        85:{1,2,4,6}:{(61,1),(66,1),(70,1),(111,1),(112,1),(116,1),(162,1),(196,1)}
        86:{1,2,5}:{(62,1),(67,1),(108,1)}
        87:{1,2,4,6}:{(63,1),(68,1),(109,1),(113,1),(162,1)}
        88:{2,3,5,6}:{(64,1),(65,1),(74,1),(110,1),(116,1),(132,1),(165,1),(174,1)}
        89:{3,4,6}:{(65,1),(66,1),(75,1),(116,1),(117,1)}
        90:{1,4,5}:{(66,1),(67,1),(117,1)}
        91:{1,3,5,6}:{(67,1),(68,1),(113,1),(118,1),(119,1),(167,1),(169,1)}
        92:{1,3,4,6,7}:{(68,1),(114,1),(119,1),(131,1),(176,1),(177,1),(197,1)}
        93:{2,3,7}:{(69,1),(110,1)}
        94:{3,4,7}:{(70,1),(111,1),(123,1)}
        95:{1,2,4,5,7}:{(70,1),(71,1),(72,1),(76,1),(112,1),(123,1),(124,1),(126,1),(129,1),(173,1)}
        96:{1,2,5,6}:{(71,1),(73,1),(77,1),(124,1),(132,1),(169,1)}
        97:{3,4,5,7}:{(72,1),(123,1),(126,1),(127,1),(161,1),(170,1),(197,1)}
        98:{2,4,6}:{(72,1),(73,1),(127,1)}
        99:{2,3,5,6,7}:{(73,1),(125,1),(128,1),(163,1),(170,1),(176,1)}
       100:{2,4,7}:{(74,1),(75,1),(116,1)}
       101:{3,4,5,7}:{(75,1),(76,1),(79,1),(117,1),(123,1),(129,1),(130,1)}
       102:{1,4,6}:{(76,1),(77,1),(130,1)}
       103:{1,3,5,6,7}:{(77,1),(119,1),(125,1),(131,1),(133,1),(176,1)}
       104:{2,5,7}:{(78,1),(79,1),(132,1)}
       105:{3,5,6}:{(79,1),(80,1),(130,1),(132,1)}
       106:{1,4,5,6,7}:{(80,1),(131,1),(133,1)}
       107:{1,2,4,5}:{(81,1),(84,1),(134,1),(146,1),(179,1),(184,1)}
       108:{2,3,5}:{(82,1),(86,1),(135,1),(141,1)}
       109:{2,3,6}:{(83,1),(87,1),(152,1)}
       110:{2,3,6}:{(84,1),(93,1),(134,1)}
       111:{3,4,6}:{(85,1),(94,1),(141,1),(152,1)}
       112:{1,2,4,5}:{(85,1),(86,1),(90,1),(135,1),(141,1),(146,1),(181,1),(184,1)}
       113:{1,2,5,6}:{(86,1),(87,1),(91,1),(136,1),(143,1)}
       114:{1,2,4,6,7}:{(87,1),(92,1),(137,1),(143,1),(183,1)}
       115:{2,4,5,6}:{(98,1),(144,1),(145,1)}
       116:{2,4,6}:{(88,1),(89,1),(100,1),(146,1)}
       117:{3,4,5}:{(89,1),(90,1),(141,1),(146,1)}
       118:{1,4,5,6}:{(90,1),(91,1),(102,1),(147,1),(148,1)}
       119:{1,3,5,7}:{(91,1),(92,1),(143,1),(148,1),(187,1),(188,1)}
       120:{1,2,3,7}:{(93,1),(138,1),(149,1),(209,1)}
       121:{2,3,4,7}:{(93,1),(94,1),(100,1),(139,1),(149,1),(150,1)}
       122:{1,3,4,7}:{(94,1),(140,1),(149,1),(151,1),(205,1),(209,1)}
       123:{3,5,7}:{(94,1),(95,1),(141,1),(152,1)}
       124:{1,2,4,6}:{(95,1),(96,1),(98,1),(102,1),(152,1),(154,1),(156,1),(190,1)}
       125:{1,2,5,6,7}:{(96,1),(99,1),(103,1),(143,1),(153,1),(158,1),(188,1)}
       126:{1,4,5,7}:{(97,1),(151,1),(154,1),(181,1),(188,1),(205,1)}
       127:{3,4,6}:{(97,1),(98,1),(144,1),(152,1),(154,1)}
       128:{2,4,6,7}:{(98,1),(99,1),(145,1),(155,1),(183,1)}
       129:{2,4,5,7}:{(100,1),(101,1),(104,1),(146,1),(150,1),(156,1)}
       130:{3,4,6}:{(101,1),(102,1),(105,1),(152,1),(156,1)}
       131:{1,4,6,7}:{(102,1),(103,1),(148,1),(157,1)}
       132:{2,5,6}:{(104,1),(105,1),(156,1)}
       133:{3,5,6,7}:{(105,1),(106,1),(157,1),(158,1)}
       134:{2,3,5}:{(107,1),(110,1),(160,1)}
       135:{2,4,5}:{(108,1),(161,1),(162,1)}
       136:{2,3,5,6}:{(108,1),(109,1),(113,1),(162,1),(163,1),(167,1)}
       137:{2,3,6,7}:{(109,1),(114,1),(163,1),(176,1)}
       138:{1,2,3,6}:{(110,1),(120,1),(159,1),(164,1),(207,1)}
       139:{2,3,4,6}:{(110,1),(111,1),(116,1),(121,1),(160,1),(164,1),(165,1),(174,1)}
       140:{1,3,4,6}:{(111,1),(122,1),(164,1),(166,1),(175,1),(193,1),(196,1),(207,1)}
       141:{3,5}:{(111,1),(112,1)}
       142:{1,2,4,5,6}:{(112,1),(113,1),(115,1),(118,1),(124,1),(162,1),(167,1),(168,1),(169,1),(171,1),(196,1),(198,1)}
       143:{1,2,5,7}:{(113,1),(114,1),(119,1),(163,1)}
       144:{3,5,6}:{(115,1),(127,1),(169,1),(170,1)}
       145:{2,4,5,7}:{(115,1),(128,1),(170,1)}
       146:{2,4,5}:{(116,1),(117,1),(165,1)}
       147:{3,4,5,6}:{(117,1),(118,1),(130,1),(167,1),(171,1),(172,1)}
       148:{1,4,5,7}:{(118,1),(119,1),(131,1),(172,1)}
       149:{1,2,4,7}:{(120,1),(121,1),(122,1),(164,1),(173,1)}
       150:{2,3,5,7}:{(121,1),(123,1),(129,1),(165,1),(173,1),(174,1)}
       151:{1,3,5,7}:{(122,1),(123,1),(126,1),(166,1),(173,1),(175,1)}
       152:{3,6}:{(123,1),(124,1)}
       153:{1,2,4,6,7}:{(124,1),(125,1),(128,1),(131,1),(168,1),(176,1),(177,1),(178,1),(201,1)}
       154:{1,4,6}:{(126,1),(127,1),(169,1),(175,1)}
       155:{3,4,6,7}:{(127,1),(128,1),(170,1),(176,1),(177,1),(197,1)}
       156:{2,4,6}:{(129,1),(130,1),(132,1),(174,1)}
       157:{3,4,6,7}:{(130,1),(131,1),(133,1),(172,1),(176,1),(178,1)}
       158:{2,5,6,7}:{(132,1),(133,1),(178,1)}
       159:{1,2,3,5}:{(134,1),(138,1),(179,1),(184,1),(202,1)}
       160:{2,3,4}:{(134,1),(179,1)}
       161:{3,4,5}:{(135,1),(141,1),(181,1),(182,1)}
       162:{2,4,6}:{(135,1),(136,1),(182,1),(183,1)}
       163:{2,3,5,7}:{(136,1),(137,1),(143,1),(183,1),(187,1)}
       164:{1,2,4,6}:{(138,1),(139,1),(140,1),(149,1),(179,1),(184,1),(190,1)}
       165:{2,3,5}:{(139,1),(141,1),(146,1),(184,1)}
       166:{1,3,5}:{(140,1),(141,1),(181,1),(184,1)}
       167:{3,5,6}:{(141,1),(142,1),(152,1),(182,1),(187,1)}
       168:{1,2,4,5,7}:{(142,1),(143,1),(145,1),(148,1),(153,1),(183,1),(187,1),(188,1),(189,1),(205,1),(206,1)}
       169:{1,5,6}:{(144,1),(154,1),(188,1)}
       170:{3,5,7}:{(144,1),(145,1),(155,1),(188,1)}
       171:{2,4,5,6}:{(146,1),(147,1),(156,1),(185,1),(189,1)}
       172:{3,4,5,7}:{(147,1),(148,1),(157,1),(187,1),(189,1)}
       173:{1,2,5,7}:{(149,1),(150,1),(151,1),(184,1),(190,1)}
       174:{2,3,6}:{(150,1),(152,1),(156,1),(190,1)}
       175:{1,3,6}:{(151,1),(152,1),(154,1),(190,1)}
       176:{3,6,7}:{(152,1),(153,1),(187,1)}
       177:{1,4,6,7}:{(154,1),(155,1),(188,1),(192,1),(205,1)}
       178:{2,4,6,7}:{(156,1),(157,1),(158,1),(189,1),(191,1)}
       179:{1,2,4}:{(159,1),(160,1),(193,1)}
       180:{2,3,4,5}:{(160,1),(161,1),(165,1),(194,1),(195,1)}
       181:{1,4,5}:{(161,1),(166,1),(196,1)}
       182:{3,4,6}:{(161,1),(162,1),(167,1),(196,1),(197,1)}
       183:{2,4,7}:{(162,1),(163,1),(197,1)}
       184:{1,2,5}:{(164,1),(165,1),(166,1)}
       185:{2,3,5,6}:{(165,1),(167,1),(171,1),(174,1),(195,1),(198,1),(199,1)}
       186:{1,3,5,6}:{(166,1),(167,1),(169,1),(175,1),(196,1),(198,1),(200,1),(207,1)}
       187:{3,5,7}:{(167,1),(168,1),(176,1),(197,1)}
       188:{1,5,7}:{(169,1),(170,1),(177,1)}
       189:{2,4,5,7}:{(171,1),(172,1),(178,1),(199,1)}
       190:{1,2,6}:{(173,1),(174,1),(175,1)}
       191:{2,3,6,7}:{(174,1),(176,1),(178,1),(199,1),(201,1)}
       192:{1,3,6,7}:{(175,1),(176,1),(177,1),(200,1),(201,1)}
       193:{1,3,4}:{(179,1),(202,1)}
       194:{1,2,4,5}:{(179,1),(180,1),(181,1),(184,1),(202,1),(203,1)}
       195:{2,3,4,6}:{(180,1),(182,1),(185,1),(203,1),(204,1)}
       196:{1,4,6}:{(181,1),(182,1),(186,1),(205,1)}
       197:{3,4,7}:{(182,1),(183,1),(187,1),(205,1)}
       198:{1,2,5,6}:{(184,1),(185,1),(186,1),(190,1),(203,1),(206,1)}
       199:{2,3,5,7}:{(185,1),(187,1),(189,1),(191,1),(204,1),(206,1)}
       200:{1,3,5,7}:{(186,1),(187,1),(188,1),(192,1),(205,1),(206,1),(209,1)}
       201:{1,2,6,7}:{(190,1),(191,1),(192,1),(206,1)}
       202:{1,3,5}:{(193,1),(194,1),(207,1)}
       203:{1,2,4,6}:{(194,1),(195,1),(196,1),(198,1),(207,1),(208,1)}
       204:{2,3,4,7}:{(195,1),(197,1),(199,1),(208,1)}
       205:{1,4,7}:{(196,1),(197,1),(200,1)}
       206:{1,2,5,7}:{(198,1),(199,1),(200,1),(201,1),(208,1)}
       207:{1,3,6}:{(202,1),(203,1),(209,1)}
       208:{1,2,4,7}:{(203,1),(204,1),(205,1),(206,1),(209,1)}
       209:{1,3,7}:{(207,1),(208,1)}

1586 :   0:{1,3,4,5,6}:{(2,1),(3,1),(34,1),(56,1),(84,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(19,1),(92,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(42,1),(45,1),(71,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(23,1),(69,1),(72,1)}
         4:{1,4,5,6,7}:{(1,1),(9,1),(83,1)}
         5:{2,4,5,6,7}:{(1,1),(10,1),(99,1)}
         6:{1,3,4,6,7}:{(2,1),(9,1),(12,1),(29,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(12,1),(13,1),(32,1),(54,1),(58,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1)}
         9:{1,3,5,6,7}:{(4,1),(6,1),(17,1),(19,1),(71,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(18,1),(19,1),(90,1)}
        11:{1,2,4,5,6,7}:{(4,1),(5,1),(17,1),(18,1),(19,1),(40,1),(41,1),(68,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(17,1),(20,1),(40,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(20,1),(22,1)}
        14:{1,2,3,5,6}:{(8,1),(21,1),(23,1),(48,1),(72,1),(73,1)}
        15:{2,3,4,6}:{(8,1),(22,1),(23,1),(24,1)}
        16:{2,3,4,6,7}:{(10,1),(25,1),(26,1),(29,1)}
        17:{1,2,5,6,7}:{(9,1),(12,1),(27,1),(58,1)}
        18:{1,2,5,6,7}:{(10,1),(26,1),(28,1),(79,1)}
        19:{3,5,6,7}:{(11,1),(29,1),(81,1)}
        20:{2,3,6,7}:{(12,1),(13,1)}
        21:{1,2,3,5,7}:{(13,1),(14,1),(30,1),(32,1),(58,1),(60,1)}
        22:{2,3,4,7}:{(13,1),(15,1),(32,1)}
        23:{1,2,4,6}:{(14,1),(15,1),(32,1),(34,1),(35,1)}
        24:{2,3,4,5}:{(15,1),(35,1)}
        25:{2,3,4,5,7}:{(16,1),(36,1),(37,1),(42,1),(87,1),(90,1)}
        26:{1,2,4,6,7}:{(16,1),(18,1),(37,1),(38,1),(41,1)}
        27:{2,3,5,6,7}:{(17,1),(19,1),(20,1),(40,1),(44,1)}
        28:{1,3,5,6,7}:{(18,1),(19,1),(38,1),(41,1),(66,1)}
        29:{3,4,6,7}:{(19,1),(40,1),(41,1),(42,1)}
        30:{1,2,3,6,7}:{(20,1),(21,1),(43,1),(73,1)}
        31:{2,3,4,6,7}:{(20,1),(22,1),(40,1),(43,1),(44,1),(47,1),(67,1)}
        32:{1,2,4,7}:{(21,1),(22,1),(23,1),(45,1)}
        33:{2,3,4,5,7}:{(22,1),(24,1),(44,1),(46,1),(47,1),(92,1)}
        34:{1,3,4,6}:{(23,1),(45,1),(48,1),(73,1)}
        35:{1,2,4,5}:{(23,1),(24,1),(48,1)}
        36:{2,3,4,5,6}:{(25,1),(49,1),(56,1),(95,1),(100,1)}
        37:{1,2,4,5,7}:{(25,1),(26,1),(49,1),(50,1),(55,1),(76,1),(79,1)}
        38:{1,3,6,7}:{(26,1),(50,1)}
        39:{1,2,3,5,6,7}:{(27,1),(28,1),(30,1),(51,1),(53,1),(58,1),(79,1),(81,1),(84,1),(100,1)}
        40:{2,4,6,7}:{(27,1),(29,1),(54,1)}
        41:{1,4,6,7}:{(28,1),(29,1),(55,1)}
        42:{3,4,5,7}:{(29,1),(54,1),(55,1),(56,1),(81,1)}
        43:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(57,1),(58,1),(61,1)}
        44:{2,3,5,7}:{(31,1),(54,1),(58,1),(59,1),(81,1)}
        45:{1,3,4,7}:{(32,1),(34,1),(60,1)}
        46:{1,2,4,5,7}:{(32,1),(33,1),(35,1),(58,1),(60,1),(61,1),(83,1)}
        47:{2,3,4,6}:{(33,1),(59,1),(61,1),(101,1)}
        48:{1,3,5}:{(34,1),(35,1)}
        49:{1,2,4,5,6}:{(36,1),(37,1),(62,1),(70,1),(85,1),(91,1)}
        50:{1,3,5,7}:{(37,1),(38,1),(62,1),(64,1)}
        51:{1,2,3,6,7}:{(38,1),(63,1),(65,1),(103,1)}
        52:{1,3,4,6,7}:{(38,1),(41,1),(64,1),(65,1),(66,1),(67,1),(89,1)}
        53:{1,2,4,6,7}:{(39,1),(40,1),(41,1),(67,1),(68,1),(94,1),(104,1)}
        54:{2,4,5,7}:{(40,1),(42,1),(44,1),(69,1)}
        55:{1,4,5,7}:{(41,1),(42,1),(66,1),(70,1)}
        56:{3,4,5,6}:{(42,1),(69,1),(70,1),(93,1)}
        57:{1,3,4,6,7}:{(43,1),(45,1),(67,1),(71,1),(73,1),(94,1)}
        58:{1,2,5,7}:{(43,1),(44,1),(71,1),(72,1)}
        59:{2,3,5,6}:{(44,1),(47,1),(69,1),(72,1),(93,1)}
        60:{1,3,5,7}:{(45,1),(46,1),(48,1),(73,1)}
        61:{1,2,4,6}:{(46,1),(47,1),(72,1),(73,1),(94,1)}
        62:{1,3,5,6}:{(49,1),(50,1),(75,1)}
        63:{1,2,3,5,7}:{(50,1),(51,1),(74,1),(76,1),(79,1),(97,1)}
        64:{1,3,4,7}:{(50,1),(75,1),(76,1)}
        65:{1,2,4,6,7}:{(51,1),(52,1),(76,1),(78,1),(79,1),(98,1)}
        66:{1,3,5,7}:{(52,1),(55,1),(79,1),(80,1),(81,1)}
        67:{3,4,6,7}:{(53,1),(81,1),(101,1)}
        68:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(58,1),(79,1),(81,1),(82,1),(83,1),(99,1)}
        69:{2,4,5,6}:{(54,1),(56,1),(59,1)}
        70:{1,4,5,6}:{(55,1),(56,1),(80,1)}
        71:{1,3,5,7}:{(57,1),(58,1),(81,1),(83,1),(84,1)}
        72:{1,2,5,6}:{(58,1),(59,1),(61,1),(84,1)}
        73:{1,3,6}:{(60,1),(61,1)}
        74:{1,2,3,5,6}:{(62,1),(63,1),(85,1),(91,1),(102,1),(103,1)}
        75:{1,3,4,6}:{(62,1),(64,1),(85,1),(86,1)}
        76:{1,2,4,7}:{(63,1),(64,1),(85,1),(87,1)}
        77:{1,3,4,5,7}:{(64,1),(66,1),(86,1),(88,1),(89,1),(92,1)}
        78:{2,3,4,6,7}:{(65,1),(67,1),(87,1),(90,1),(103,1),(104,1)}
        79:{1,2,5,7}:{(65,1),(66,1),(90,1),(91,1)}
        80:{1,3,5,6}:{(66,1),(70,1),(89,1),(91,1),(93,1)}
        81:{3,5,7}:{(67,1),(68,1),(93,1)}
        82:{1,2,4,5,6}:{(68,1),(69,1),(70,1),(72,1),(91,1),(93,1),(94,1),(104,1)}
        83:{1,4,5,7}:{(71,1),(92,1),(94,1)}
        84:{1,3,5,6}:{(71,1),(72,1),(73,1),(93,1),(94,1)}
        85:{1,2,4,6}:{(74,1),(75,1),(76,1),(95,1),(96,1)}
        86:{1,3,4,5}:{(75,1),(96,1)}
        87:{2,3,4,7}:{(76,1),(95,1),(97,1)}
        88:{1,2,4,5,7}:{(76,1),(77,1),(79,1),(96,1),(97,1),(98,1),(99,1)}
        89:{1,3,4,6}:{(77,1),(80,1),(98,1),(101,1)}
        90:{2,3,5,7}:{(78,1),(79,1),(81,1),(99,1),(100,1)}
        91:{1,2,5,6}:{(79,1),(80,1),(98,1),(100,1)}
        92:{3,4,5,7}:{(81,1),(83,1),(99,1),(101,1)}
        93:{3,5,6}:{(81,1),(82,1),(101,1)}
        94:{1,4,6}:{(83,1),(84,1),(101,1)}
        95:{2,3,4,6}:{(85,1),(87,1),(102,1),(103,1)}
        96:{1,2,4,5}:{(85,1),(86,1),(102,1)}
        97:{2,3,5,7}:{(87,1),(88,1),(102,1),(103,1)}
        98:{1,2,4,6}:{(88,1),(89,1),(91,1),(103,1),(104,1)}
        99:{2,4,5,7}:{(90,1),(92,1),(104,1)}
       100:{2,3,5,6}:{(90,1),(91,1),(93,1),(103,1),(104,1)}
       101:{3,4,6}:{(92,1),(93,1),(94,1),(104,1)}
       102:{2,3,5}:{(95,1),(96,1)}
       103:{2,3,6}:{(97,1),(98,1)}
       104:{2,4,6}:{(99,1),(100,1),(101,1)}

1587 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(21,1),(53,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(34,1),(69,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(24,1),(48,1),(85,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(19,1),(24,1),(47,1),(88,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(20,1),(24,1),(46,1),(87,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(34,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(64,1),(106,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(63,1),(105,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(32,1),(33,1),(108,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(45,1),(85,1),(158,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(17,1),(19,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(18,1),(20,1)}
        12:{1,3,4,6,7}:{(6,1),(19,1),(22,1),(24,1),(41,1),(48,1)}
        13:{2,3,4,6,7}:{(7,1),(20,1),(23,1),(24,1),(26,1),(48,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(21,1),(24,1),(128,1)}
        15:{1,2,3,5,6,7}:{(8,1),(24,1),(25,1),(46,1),(47,1),(49,1),(52,1),(78,1),(86,1),(87,1),(88,1),(131,1),(161,1),(163,1),(172,1)}
        16:{2,3,4,5,7}:{(20,1),(26,1),(27,1),(48,1),(81,1),(83,1),(92,1),(127,1),(132,1)}
        17:{1,4,5,6}:{(9,1),(10,1),(29,1),(106,1),(164,1)}
        18:{2,4,5,6}:{(9,1),(11,1),(30,1),(105,1),(149,1)}
        19:{1,3,5,7}:{(10,1),(12,1),(29,1),(32,1),(34,1)}
        20:{2,3,5,7}:{(11,1),(13,1),(30,1),(33,1),(34,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(31,1),(32,1),(33,1),(34,1),(63,1),(64,1)}
        22:{1,2,4,6,7}:{(12,1),(32,1),(35,1),(57,1),(63,1)}
        23:{1,2,4,6,7}:{(13,1),(33,1),(36,1),(39,1),(64,1)}
        24:{3,6,7}:{(14,1),(34,1),(147,1)}
        25:{1,2,4,6,7}:{(15,1),(37,1),(38,1),(63,1),(64,1),(99,1),(105,1),(106,1),(170,1),(174,1)}
        26:{2,3,4,6}:{(16,1),(30,1),(39,1),(61,1),(105,1),(147,1)}
        27:{1,2,4,5,7}:{(16,1),(33,1),(39,1),(40,1),(64,1),(73,1),(101,1),(112,1)}
        28:{1,3,4,5,7}:{(19,1),(41,1),(42,1),(48,1),(81,1),(84,1),(119,1),(127,1),(153,1)}
        29:{1,3,5,6}:{(17,1),(19,1),(41,1),(43,1),(45,1),(153,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(26,1),(44,1),(45,1),(132,1)}
        31:{1,2,4,5,6}:{(17,1),(18,1),(21,1),(43,1),(44,1),(45,1),(79,1),(80,1),(123,1),(128,1)}
        32:{1,2,5,7}:{(19,1),(22,1),(43,1),(46,1)}
        33:{1,2,5,7}:{(20,1),(23,1),(44,1),(47,1)}
        34:{3,5,7}:{(21,1),(24,1),(45,1),(48,1)}
        35:{2,3,6,7}:{(22,1),(24,1),(46,1),(75,1)}
        36:{1,3,6,7}:{(23,1),(24,1),(47,1),(54,1)}
        37:{3,4,6,7}:{(24,1),(25,1),(48,1),(52,1),(85,1),(122,1),(161,1),(173,1)}
        38:{1,2,4,5,7}:{(25,1),(52,1),(53,1),(83,1),(84,1),(86,1),(123,1)}
        39:{1,2,4,6}:{(26,1),(27,1),(44,1),(54,1),(80,1)}
        40:{1,3,5,7}:{(27,1),(54,1),(56,1),(91,1),(127,1)}
        41:{1,3,4,6}:{(28,1),(29,1),(57,1),(61,1),(106,1),(147,1)}
        42:{1,2,4,5,7}:{(28,1),(32,1),(57,1),(58,1),(63,1),(97,1),(100,1),(138,1)}
        43:{1,2,5,6}:{(29,1),(32,1),(57,1),(59,1),(138,1)}
        44:{1,2,5,6}:{(30,1),(33,1),(39,1),(60,1),(112,1)}
        45:{3,5,6}:{(31,1),(34,1),(61,1),(143,1),(147,1)}
        46:{2,3,5,7}:{(32,1),(34,1),(35,1),(59,1),(63,1)}
        47:{1,3,5,7}:{(33,1),(34,1),(36,1),(60,1),(64,1)}
        48:{3,4,7}:{(34,1),(61,1),(63,1),(64,1)}
        49:{1,2,3,6,7}:{(35,1),(36,1),(62,1),(66,1),(71,1),(95,1),(147,1),(152,1),(167,1)}
        50:{2,3,4,6,7}:{(35,1),(37,1),(63,1),(66,1),(67,1),(96,1),(103,1),(105,1),(111,1),(147,1),(152,1),(170,1)}
        51:{1,3,4,6,7}:{(36,1),(37,1),(64,1),(66,1),(68,1),(72,1),(103,1),(106,1),(137,1),(147,1),(167,1),(174,1)}
        52:{3,5,7}:{(37,1),(38,1),(69,1),(143,1)}
        53:{1,2,4,5,6}:{(38,1),(69,1),(105,1),(106,1),(108,1)}
        54:{1,3,6}:{(39,1),(40,1),(147,1)}
        55:{1,2,3,5,7}:{(40,1),(71,1),(73,1),(112,1),(114,1)}
        56:{1,3,4,7}:{(40,1),(64,1),(72,1),(73,1),(103,1)}
        57:{1,2,4,6}:{(41,1),(42,1),(43,1),(75,1),(79,1)}
        58:{2,3,5,7}:{(42,1),(75,1),(77,1),(118,1),(127,1)}
        59:{2,3,5,6}:{(43,1),(45,1),(46,1),(75,1),(79,1),(118,1)}
        60:{1,3,5,6}:{(44,1),(45,1),(47,1),(54,1),(80,1),(91,1)}
        61:{3,4,6}:{(45,1),(48,1),(79,1),(80,1),(81,1)}
        62:{1,2,3,5,7}:{(46,1),(47,1),(49,1),(78,1),(82,1),(86,1),(127,1),(163,1),(172,1)}
        63:{2,4,7}:{(46,1),(48,1),(79,1)}
        64:{1,4,7}:{(47,1),(48,1),(80,1)}
        65:{3,4,5,7}:{(48,1),(52,1),(81,1),(83,1),(84,1),(85,1),(127,1),(158,1),(173,1)}
        66:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(82,1),(86,1),(90,1),(117,1),(128,1)}
        67:{2,3,5,7}:{(50,1),(52,1),(83,1),(86,1),(87,1),(118,1),(127,1),(132,1)}
        68:{1,3,5,7}:{(51,1),(52,1),(84,1),(86,1),(88,1),(91,1),(127,1),(153,1)}
        69:{3,5,6}:{(52,1),(53,1),(85,1)}
        70:{1,2,4,5,6,7}:{(53,1),(89,1),(129,1),(130,1),(131,1),(160,1)}
        71:{1,2,3,6}:{(54,1),(55,1),(90,1),(135,1)}
        72:{1,3,4,6}:{(54,1),(56,1),(80,1),(90,1),(91,1),(122,1)}
        73:{1,2,4,7}:{(55,1),(56,1),(90,1),(92,1)}
        74:{1,3,4,5,7}:{(56,1),(84,1),(91,1),(93,1),(94,1),(127,1),(134,1),(158,1),(173,1)}
        75:{2,3,6}:{(57,1),(58,1),(147,1)}
        76:{1,2,3,5,7}:{(58,1),(95,1),(97,1),(138,1),(140,1)}
        77:{2,3,4,7}:{(58,1),(63,1),(96,1),(97,1),(103,1)}
        78:{1,2,3,5,6}:{(59,1),(60,1),(62,1),(71,1),(95,1),(99,1),(108,1),(112,1),(138,1),(143,1),(147,1),(150,1),(165,1)}
        79:{2,4,6}:{(59,1),(61,1),(63,1),(100,1)}
        80:{1,4,6}:{(60,1),(61,1),(64,1),(101,1)}
        81:{3,4,5}:{(61,1),(100,1),(101,1),(143,1)}
        82:{1,2,4,7}:{(62,1),(63,1),(64,1),(99,1),(103,1),(170,1),(174,1)}
        83:{2,4,5,7}:{(63,1),(65,1),(67,1),(100,1),(105,1),(149,1),(170,1)}
        84:{1,4,5,7}:{(64,1),(65,1),(68,1),(101,1),(106,1),(164,1),(174,1)}
        85:{3,4,6}:{(65,1),(69,1),(105,1),(106,1),(147,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(108,1),(112,1),(138,1)}
        87:{2,3,5,6}:{(67,1),(69,1),(105,1),(108,1),(147,1)}
        88:{1,3,5,6}:{(68,1),(69,1),(106,1),(108,1),(147,1)}
        89:{3,5,6,7}:{(69,1),(70,1),(107,1),(169,1)}
        90:{1,2,4,6}:{(71,1),(72,1),(73,1),(111,1),(112,1)}
        91:{1,3,5}:{(72,1),(101,1),(112,1),(143,1)}
        92:{2,3,4,7}:{(73,1),(103,1),(111,1),(114,1),(170,1)}
        93:{1,2,4,5,7}:{(73,1),(74,1),(112,1),(114,1),(115,1),(149,1),(151,1),(170,1)}
        94:{1,3,4,6}:{(74,1),(106,1),(113,1),(115,1),(147,1),(168,1)}
        95:{1,2,3,6}:{(75,1),(76,1),(117,1),(156,1)}
        96:{2,3,4,6}:{(75,1),(77,1),(79,1),(117,1),(118,1),(122,1)}
        97:{1,2,4,7}:{(76,1),(77,1),(117,1),(119,1)}
        98:{2,3,4,5,7}:{(77,1),(83,1),(118,1),(120,1),(121,1),(127,1),(155,1),(158,1),(173,1)}
        99:{1,2,4,6}:{(78,1),(79,1),(80,1),(82,1),(122,1),(123,1),(162,1),(171,1)}
       100:{2,4,5}:{(79,1),(81,1),(118,1)}
       101:{1,4,5}:{(80,1),(81,1),(91,1)}
       102:{3,4,5,6}:{(81,1),(85,1),(124,1),(125,1),(126,1),(159,1)}
       103:{3,4,7}:{(82,1),(122,1),(127,1)}
       104:{1,2,4,5,7}:{(82,1),(83,1),(84,1),(86,1),(123,1),(127,1),(128,1)}
       105:{2,4,6}:{(83,1),(85,1),(87,1)}
       106:{1,4,6}:{(84,1),(85,1),(88,1)}
       107:{3,4,6,7}:{(85,1),(89,1),(126,1),(129,1),(130,1),(161,1),(173,1)}
       108:{1,2,5,6}:{(86,1),(87,1),(88,1),(128,1)}
       109:{2,3,5,6,7}:{(87,1),(89,1),(129,1),(131,1),(155,1),(161,1),(163,1)}
       110:{1,3,5,6,7}:{(88,1),(89,1),(130,1),(131,1),(134,1),(161,1),(172,1)}
       111:{2,3,4,6}:{(90,1),(92,1),(122,1),(132,1),(135,1),(162,1)}
       112:{1,2,5}:{(90,1),(91,1),(132,1)}
       113:{1,3,5,6}:{(91,1),(94,1),(125,1),(133,1),(134,1),(159,1)}
       114:{2,3,5,7}:{(92,1),(93,1),(127,1),(132,1),(135,1)}
       115:{1,2,4,6}:{(93,1),(94,1),(133,1),(135,1),(162,1)}
       116:{1,3,4,6,7}:{(94,1),(130,1),(134,1),(136,1),(161,1),(173,1)}
       117:{1,2,4,6}:{(95,1),(96,1),(97,1),(137,1),(138,1)}
       118:{2,3,5}:{(96,1),(100,1),(138,1),(143,1)}
       119:{1,3,4,7}:{(97,1),(103,1),(137,1),(140,1),(174,1)}
       120:{1,2,4,5,7}:{(97,1),(98,1),(138,1),(140,1),(141,1),(164,1),(166,1),(174,1)}
       121:{2,3,4,6}:{(98,1),(105,1),(139,1),(141,1),(147,1),(168,1)}
       122:{3,4,6}:{(99,1),(103,1),(143,1),(147,1)}
       123:{1,2,4,5}:{(99,1),(100,1),(101,1),(112,1),(138,1),(143,1),(149,1),(164,1)}
       124:{2,4,5,6}:{(100,1),(102,1),(105,1),(139,1),(145,1)}
       125:{1,4,5,6}:{(101,1),(102,1),(106,1),(113,1),(146,1)}
       126:{3,4,5,7}:{(102,1),(107,1),(145,1),(146,1),(169,1)}
       127:{3,5,7}:{(103,1),(104,1),(143,1),(147,1)}
       128:{1,2,4,6}:{(104,1),(105,1),(106,1),(108,1),(147,1)}
       129:{2,4,6,7}:{(105,1),(107,1),(109,1),(145,1),(170,1)}
       130:{1,4,6,7}:{(106,1),(107,1),(110,1),(146,1),(174,1)}
       131:{1,2,5,6,7}:{(108,1),(109,1),(110,1),(148,1),(151,1),(166,1)}
       132:{2,3,5}:{(111,1),(112,1),(143,1),(149,1)}
       133:{1,2,5,6}:{(112,1),(113,1),(115,1),(150,1),(151,1)}
       134:{1,3,5,7}:{(113,1),(116,1),(146,1),(151,1),(169,1)}
       135:{2,3,6}:{(114,1),(115,1),(147,1)}
       136:{1,2,4,6,7}:{(115,1),(116,1),(151,1),(152,1),(170,1)}
       137:{1,3,4,6}:{(117,1),(119,1),(122,1),(153,1),(156,1),(171,1)}
       138:{1,2,5}:{(117,1),(118,1),(153,1)}
       139:{2,3,5,6}:{(118,1),(121,1),(124,1),(154,1),(155,1),(159,1)}
       140:{1,3,5,7}:{(119,1),(120,1),(127,1),(153,1),(156,1)}
       141:{1,2,4,6}:{(120,1),(121,1),(154,1),(156,1),(171,1)}
       142:{2,3,4,6,7}:{(121,1),(129,1),(155,1),(157,1),(161,1),(173,1)}
       143:{3,5}:{(122,1),(123,1)}
       144:{1,2,4,5,6}:{(123,1),(124,1),(125,1),(128,1),(133,1),(154,1),(159,1),(160,1),(162,1),(171,1)}
       145:{2,4,5,7}:{(124,1),(126,1),(129,1),(155,1)}
       146:{1,4,5,7}:{(125,1),(126,1),(130,1),(134,1)}
       147:{3,6}:{(127,1),(128,1)}
       148:{1,2,4,6,7}:{(128,1),(129,1),(130,1),(131,1),(160,1),(161,1)}
       149:{2,4,5}:{(132,1),(158,1),(162,1)}
       150:{2,3,5,6}:{(132,1),(133,1),(135,1),(159,1),(162,1),(163,1)}
       151:{1,2,5,7}:{(133,1),(134,1),(136,1),(163,1)}
       152:{2,3,6,7}:{(135,1),(136,1),(161,1),(163,1)}
       153:{1,3,5}:{(137,1),(138,1),(143,1),(164,1)}
       154:{1,2,5,6}:{(138,1),(139,1),(141,1),(165,1),(166,1)}
       155:{2,3,5,7}:{(139,1),(142,1),(145,1),(166,1),(169,1)}
       156:{1,3,6}:{(140,1),(141,1),(147,1)}
       157:{1,2,4,6,7}:{(141,1),(142,1),(166,1),(167,1),(174,1)}
       158:{3,4,5}:{(143,1),(149,1),(164,1),(168,1)}
       159:{3,5,6}:{(143,1),(144,1),(147,1),(168,1),(169,1)}
       160:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(148,1),(151,1),(166,1),(169,1),(170,1),(174,1)}
       161:{3,6,7}:{(147,1),(148,1),(169,1)}
       162:{2,4,6}:{(149,1),(150,1),(168,1),(170,1)}
       163:{2,3,5,7}:{(150,1),(151,1),(152,1),(169,1),(170,1)}
       164:{1,4,5}:{(153,1),(158,1),(171,1)}
       165:{1,3,5,6}:{(153,1),(154,1),(156,1),(159,1),(171,1),(172,1)}
       166:{1,2,5,7}:{(154,1),(155,1),(157,1),(172,1)}
       167:{1,3,6,7}:{(156,1),(157,1),(161,1),(172,1)}
       168:{3,4,6}:{(158,1),(159,1),(162,1),(171,1),(173,1)}
       169:{3,5,7}:{(159,1),(160,1),(161,1),(173,1)}
       170:{2,4,7}:{(162,1),(163,1),(173,1)}
       171:{1,4,6}:{(164,1),(165,1),(168,1),(174,1)}
       172:{1,3,5,7}:{(165,1),(166,1),(167,1),(169,1),(174,1)}
       173:{3,4,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{1,4,7}:{(171,1),(172,1),(173,1)}

1588 :   0:{3,4,5,6,7}:{(1,1),(2,1),(13,1),(89,1)}
         1:{1,4,5,6,7}:{(0,1),(4,1),(96,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(98,1)}
         3:{1,3,4,5,6}:{(7,1),(8,1),(46,1),(49,1),(97,1)}
         4:{1,3,5,6,7}:{(1,1),(9,1),(11,1),(13,1),(85,1)}
         5:{2,3,5,6,7}:{(2,1),(10,1),(12,1),(13,1),(87,1)}
         6:{1,2,4,5,6,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(30,1),(31,1),(59,1)}
         7:{1,3,4,5,7}:{(3,1),(9,1),(14,1),(32,1),(62,1),(85,1)}
         8:{1,2,4,5,6}:{(3,1),(14,1),(15,1),(35,1),(60,1),(86,1)}
         9:{1,3,4,6,7}:{(4,1),(7,1),(17,1),(21,1)}
        10:{2,3,4,6,7}:{(5,1),(16,1),(18,1),(21,1)}
        11:{1,2,5,6,7}:{(4,1),(17,1),(19,1),(71,1)}
        12:{1,2,5,6,7}:{(5,1),(18,1),(20,1),(74,1)}
        13:{3,5,6,7}:{(6,1),(21,1),(76,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(17,1),(22,1),(44,1),(47,1),(71,1)}
        15:{2,3,5,6}:{(8,1),(22,1),(24,1)}
        16:{2,3,4,5,7}:{(10,1),(25,1),(26,1),(32,1),(82,1),(87,1)}
        17:{1,2,4,6,7}:{(9,1),(11,1),(14,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(10,1),(12,1),(26,1),(28,1),(31,1)}
        19:{2,3,5,6,7}:{(11,1),(13,1),(27,1),(30,1),(55,1)}
        20:{1,3,5,6,7}:{(12,1),(13,1),(28,1),(31,1),(57,1)}
        21:{3,4,6,7}:{(13,1),(30,1),(31,1),(32,1)}
        22:{2,3,5,7}:{(14,1),(15,1),(27,1),(34,1)}
        23:{1,2,3,5,6}:{(15,1),(33,1),(35,1),(65,1),(86,1),(91,1)}
        24:{2,3,4,6}:{(15,1),(34,1),(35,1),(36,1)}
        25:{2,3,4,5,6}:{(16,1),(37,1),(46,1),(92,1),(99,1)}
        26:{1,2,4,5,7}:{(16,1),(18,1),(37,1),(38,1),(45,1),(68,1),(74,1)}
        27:{2,3,6,7}:{(17,1),(22,1)}
        28:{1,3,6,7}:{(18,1),(38,1)}
        29:{1,2,3,5,6,7}:{(19,1),(20,1),(39,1),(41,1),(43,1),(71,1),(74,1),(76,1),(97,1),(99,1)}
        30:{2,4,6,7}:{(19,1),(21,1),(44,1)}
        31:{1,4,6,7}:{(20,1),(21,1),(45,1)}
        32:{3,4,5,7}:{(21,1),(44,1),(45,1),(46,1),(76,1)}
        33:{1,2,3,5,7}:{(22,1),(23,1),(39,1),(47,1),(71,1),(78,1)}
        34:{2,3,4,7}:{(22,1),(24,1),(47,1)}
        35:{1,2,4,6}:{(23,1),(24,1),(47,1),(49,1),(50,1)}
        36:{2,3,4,5}:{(24,1),(50,1)}
        37:{1,2,4,5,6}:{(25,1),(26,1),(51,1),(61,1),(80,1),(88,1)}
        38:{1,3,5,7}:{(26,1),(28,1),(51,1),(53,1)}
        39:{1,2,3,6,7}:{(27,1),(33,1),(54,1),(91,1)}
        40:{2,3,4,6,7}:{(27,1),(30,1),(34,1),(54,1),(55,1),(58,1),(64,1)}
        41:{1,2,3,6,7}:{(28,1),(52,1),(56,1),(102,1)}
        42:{1,3,4,6,7}:{(28,1),(31,1),(53,1),(56,1),(57,1),(58,1),(84,1)}
        43:{1,2,4,6,7}:{(29,1),(30,1),(31,1),(58,1),(59,1),(103,1),(104,1)}
        44:{2,4,5,7}:{(30,1),(32,1),(55,1),(60,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(57,1),(61,1)}
        46:{3,4,5,6}:{(32,1),(60,1),(61,1),(90,1)}
        47:{1,2,4,7}:{(33,1),(34,1),(35,1),(62,1)}
        48:{2,3,4,5,7}:{(34,1),(36,1),(55,1),(63,1),(64,1),(89,1)}
        49:{1,3,4,6}:{(35,1),(62,1),(65,1),(91,1)}
        50:{1,2,4,5}:{(35,1),(36,1),(65,1)}
        51:{1,3,5,6}:{(37,1),(38,1),(67,1)}
        52:{1,2,3,5,7}:{(38,1),(41,1),(66,1),(68,1),(74,1),(94,1)}
        53:{1,3,4,7}:{(38,1),(67,1),(68,1)}
        54:{1,2,4,6,7}:{(39,1),(40,1),(47,1),(70,1),(71,1),(79,1)}
        55:{2,3,5,7}:{(40,1),(44,1),(71,1),(72,1),(76,1)}
        56:{1,2,4,6,7}:{(41,1),(42,1),(68,1),(73,1),(74,1),(95,1)}
        57:{1,3,5,7}:{(42,1),(45,1),(74,1),(75,1),(76,1)}
        58:{3,4,6,7}:{(43,1),(76,1),(100,1)}
        59:{1,2,4,5,7}:{(43,1),(44,1),(45,1),(71,1),(74,1),(76,1),(77,1),(96,1),(98,1)}
        60:{2,4,5,6}:{(44,1),(46,1),(72,1)}
        61:{1,4,5,6}:{(45,1),(46,1),(75,1)}
        62:{1,3,4,7}:{(47,1),(49,1),(78,1)}
        63:{1,2,4,5,7}:{(47,1),(48,1),(50,1),(71,1),(78,1),(79,1),(96,1)}
        64:{2,3,4,6}:{(48,1),(72,1),(79,1),(100,1)}
        65:{1,3,5}:{(49,1),(50,1)}
        66:{1,2,3,5,6}:{(51,1),(52,1),(80,1),(88,1),(101,1),(102,1)}
        67:{1,3,4,6}:{(51,1),(53,1),(80,1),(81,1)}
        68:{1,2,4,7}:{(52,1),(53,1),(80,1),(82,1)}
        69:{1,3,4,5,7}:{(53,1),(57,1),(81,1),(83,1),(84,1),(89,1)}
        70:{1,3,4,6,7}:{(54,1),(58,1),(62,1),(85,1),(91,1),(103,1)}
        71:{1,2,5,7}:{(54,1),(55,1),(85,1),(86,1)}
        72:{2,3,5,6}:{(55,1),(60,1),(64,1),(86,1),(90,1)}
        73:{2,3,4,6,7}:{(56,1),(58,1),(82,1),(87,1),(102,1),(104,1)}
        74:{1,2,5,7}:{(56,1),(57,1),(87,1),(88,1)}
        75:{1,3,5,6}:{(57,1),(61,1),(84,1),(88,1),(90,1)}
        76:{3,5,7}:{(58,1),(59,1),(90,1)}
        77:{1,2,4,5,6}:{(59,1),(60,1),(61,1),(86,1),(88,1),(90,1),(103,1),(104,1)}
        78:{1,3,5,7}:{(62,1),(63,1),(65,1),(91,1)}
        79:{1,2,4,6}:{(63,1),(64,1),(86,1),(91,1),(103,1)}
        80:{1,2,4,6}:{(66,1),(67,1),(68,1),(92,1),(93,1)}
        81:{1,3,4,5}:{(67,1),(93,1)}
        82:{2,3,4,7}:{(68,1),(92,1),(94,1)}
        83:{1,2,4,5,7}:{(68,1),(69,1),(74,1),(93,1),(94,1),(95,1),(98,1)}
        84:{1,3,4,6}:{(69,1),(75,1),(95,1),(100,1)}
        85:{1,3,5,7}:{(70,1),(71,1),(76,1),(96,1),(97,1)}
        86:{1,2,5,6}:{(71,1),(72,1),(79,1),(97,1)}
        87:{2,3,5,7}:{(73,1),(74,1),(76,1),(98,1),(99,1)}
        88:{1,2,5,6}:{(74,1),(75,1),(95,1),(99,1)}
        89:{3,4,5,7}:{(76,1),(96,1),(98,1),(100,1)}
        90:{3,5,6}:{(76,1),(77,1),(100,1)}
        91:{1,3,6}:{(78,1),(79,1)}
        92:{2,3,4,6}:{(80,1),(82,1),(101,1),(102,1)}
        93:{1,2,4,5}:{(80,1),(81,1),(101,1)}
        94:{2,3,5,7}:{(82,1),(83,1),(101,1),(102,1)}
        95:{1,2,4,6}:{(83,1),(84,1),(88,1),(102,1),(104,1)}
        96:{1,4,5,7}:{(85,1),(89,1),(103,1)}
        97:{1,3,5,6}:{(85,1),(86,1),(90,1),(91,1),(103,1)}
        98:{2,4,5,7}:{(87,1),(89,1),(104,1)}
        99:{2,3,5,6}:{(87,1),(88,1),(90,1),(102,1),(104,1)}
       100:{3,4,6}:{(89,1),(90,1),(103,1),(104,1)}
       101:{2,3,5}:{(92,1),(93,1)}
       102:{2,3,6}:{(94,1),(95,1)}
       103:{1,4,6}:{(96,1),(97,1),(100,1)}
       104:{2,4,6}:{(98,1),(99,1),(100,1)}

1589 :   0:{2,3,4,6,7}:{(3,1),(4,1),(19,1),(21,1),(55,1),(57,1),(59,1),(92,1),(96,1),(117,1),(123,1)}
         1:{1,3,5,6,7}:{(6,1),(7,1),(25,1),(32,1),(34,1),(37,1),(72,1)}
         2:{2,3,5,6,7}:{(6,1),(8,1),(9,1),(33,1),(34,1),(62,1),(73,1)}
         3:{1,2,4,6,7}:{(0,1),(10,1),(11,1),(36,1),(38,1),(40,1),(74,1),(110,1),(128,1)}
         4:{2,3,5,7}:{(0,1),(9,1),(11,1),(12,1),(33,1),(41,1),(112,1),(127,1)}
         5:{1,3,4,6,7}:{(13,1),(14,1),(18,1),(44,1),(54,1),(83,1),(85,1),(91,1),(95,1),(116,1),(123,1)}
         6:{1,2,5,6,7}:{(1,1),(2,1),(17,1),(20,1),(43,1),(52,1),(53,1),(93,1)}
         7:{1,4,6,7}:{(1,1),(15,1),(18,1),(44,1),(56,1),(91,1)}
         8:{2,4,6,7}:{(2,1),(16,1),(19,1),(21,1),(82,1),(92,1)}
         9:{2,3,5,6}:{(4,1),(20,1),(21,1),(50,1),(57,1)}
        10:{1,3,6,7}:{(3,1),(22,1),(57,1),(123,1),(134,1)}
        11:{1,2,5,7}:{(3,1),(4,1),(20,1),(22,1),(53,1),(133,1)}
        12:{2,4,5,7}:{(4,1),(21,1),(24,1),(92,1),(121,1)}
        13:{1,2,4,6,7}:{(5,1),(26,1),(27,1),(35,1),(63,1),(65,1),(74,1),(110,1),(113,1)}
        14:{1,3,5,7}:{(5,1),(25,1),(27,1),(28,1),(32,1),(66,1),(111,1),(126,1)}
        15:{1,4,5,7}:{(7,1),(29,1),(32,1),(75,1)}
        16:{2,4,5,7}:{(8,1),(30,1),(33,1),(99,1)}
        17:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(31,1),(34,1),(35,1),(36,1),(38,1),(63,1),(74,1),(110,1)}
        18:{3,4,6,7}:{(7,1),(32,1),(34,1),(35,1),(64,1),(71,1),(76,1)}
        19:{3,4,6,7}:{(8,1),(33,1),(34,1),(36,1),(39,1),(71,1),(100,1)}
        20:{1,2,5,6}:{(9,1),(11,1),(37,1),(38,1),(70,1),(112,1)}
        21:{2,4,6}:{(9,1),(12,1),(39,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(37,1),(40,1),(41,1),(137,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(42,1),(75,1),(80,1),(81,1),(110,1),(112,1),(130,1)}
        24:{3,4,5,7}:{(12,1),(33,1),(39,1),(41,1),(42,1),(71,1),(106,1)}
        25:{1,3,5,6}:{(14,1),(43,1),(44,1),(49,1),(83,1)}
        26:{2,3,6,7}:{(13,1),(45,1),(83,1),(123,1),(125,1)}
        27:{1,2,5,7}:{(13,1),(14,1),(43,1),(45,1),(52,1),(124,1)}
        28:{1,4,5,7}:{(14,1),(44,1),(47,1),(91,1),(120,1)}
        29:{1,4,5,6}:{(15,1),(44,1),(49,1)}
        30:{2,4,5,6}:{(16,1),(21,1),(50,1)}
        31:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(48,1),(51,1),(52,1),(53,1),(91,1),(92,1),(93,1)}
        32:{3,5,7}:{(15,1),(18,1),(49,1),(52,1),(94,1)}
        33:{3,5,7}:{(16,1),(19,1),(50,1),(53,1),(115,1)}
        34:{3,6,7}:{(17,1),(51,1),(57,1),(83,1),(123,1)}
        35:{2,4,6,7}:{(18,1),(52,1),(55,1),(84,1),(92,1),(96,1)}
        36:{1,4,6,7}:{(19,1),(53,1),(54,1),(58,1),(91,1),(116,1)}
        37:{1,3,5,6}:{(20,1),(22,1),(56,1),(57,1),(94,1)}
        38:{1,2,4,6}:{(20,1),(21,1),(23,1),(56,1),(57,1),(58,1),(96,1),(97,1)}
        39:{3,4,6}:{(21,1),(24,1),(50,1),(57,1),(58,1)}
        40:{1,4,7}:{(22,1),(56,1),(59,1),(139,1)}
        41:{3,5,7}:{(23,1),(57,1),(59,1),(94,1),(123,1),(135,1)}
        42:{1,4,5,7}:{(24,1),(53,1),(58,1),(60,1),(91,1),(120,1)}
        43:{1,2,5,6}:{(25,1),(27,1),(62,1),(63,1),(69,1),(126,1)}
        44:{1,4,6}:{(25,1),(28,1),(64,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(62,1),(65,1),(66,1),(132,1)}
        46:{1,2,4,5,7}:{(27,1),(28,1),(63,1),(65,1),(66,1),(67,1),(99,1),(103,1),(105,1),(110,1),(126,1),(130,1)}
        47:{3,4,5,7}:{(28,1),(32,1),(64,1),(66,1),(67,1),(71,1),(106,1)}
        48:{1,2,4,5,6}:{(29,1),(30,1),(31,1),(38,1),(63,1),(68,1),(69,1),(70,1),(75,1),(99,1),(107,1),(108,1),(109,1),(112,1),(126,1),(130,1)}
        49:{3,5,6}:{(29,1),(32,1),(64,1),(69,1)}
        50:{3,5,6}:{(30,1),(33,1),(39,1),(70,1)}
        51:{3,5,7}:{(31,1),(34,1),(68,1),(71,1)}
        52:{2,5,7}:{(32,1),(35,1),(69,1),(112,1)}
        53:{1,5,7}:{(33,1),(36,1),(70,1),(126,1)}
        54:{1,3,6,7}:{(34,1),(36,1),(72,1),(74,1),(77,1),(101,1)}
        55:{2,3,6,7}:{(34,1),(35,1),(73,1),(74,1),(78,1),(102,1)}
        56:{1,4,6}:{(37,1),(40,1),(75,1),(76,1)}
        57:{3,6}:{(38,1),(41,1)}
        58:{1,4,6}:{(39,1),(42,1),(70,1),(77,1)}
        59:{3,4,7}:{(40,1),(41,1),(76,1),(80,1),(138,1)}
        60:{1,3,5,7}:{(41,1),(42,1),(77,1),(79,1),(81,1),(111,1)}
        61:{2,3,5,7}:{(41,1),(78,1),(80,1),(81,1),(112,1),(114,1),(132,1)}
        62:{2,3,5,6}:{(43,1),(45,1),(82,1),(83,1),(115,1)}
        63:{1,2,4,6}:{(43,1),(44,1),(46,1),(82,1),(83,1),(84,1),(116,1),(118,1)}
        64:{3,4,6}:{(44,1),(47,1),(49,1),(83,1),(84,1)}
        65:{2,4,7}:{(45,1),(82,1),(85,1),(136,1)}
        66:{3,5,7}:{(46,1),(83,1),(85,1),(115,1),(123,1),(135,1)}
        67:{2,4,5,7}:{(47,1),(52,1),(84,1),(87,1),(92,1),(121,1)}
        68:{3,5,6}:{(48,1),(51,1),(57,1),(83,1),(88,1),(94,1),(115,1),(135,1)}
        69:{2,5,6}:{(49,1),(52,1),(84,1)}
        70:{1,5,6}:{(50,1),(53,1),(58,1)}
        71:{3,4,7}:{(51,1),(88,1),(91,1),(92,1),(123,1)}
        72:{1,3,5,7}:{(51,1),(53,1),(54,1),(89,1),(91,1),(93,1),(123,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(55,1),(90,1),(92,1),(93,1),(123,1)}
        74:{1,2,6,7}:{(54,1),(55,1),(93,1),(97,1),(118,1)}
        75:{1,4,5}:{(56,1),(94,1)}
        76:{3,4,6}:{(56,1),(57,1),(59,1),(94,1),(96,1)}
        77:{1,3,6}:{(57,1),(58,1),(60,1),(97,1)}
        78:{2,3,6}:{(57,1),(61,1),(96,1),(97,1)}
        79:{1,3,4,7}:{(59,1),(60,1),(91,1),(95,1),(98,1),(123,1)}
        80:{2,4,7}:{(59,1),(61,1),(96,1),(136,1)}
        81:{1,2,5,7}:{(60,1),(61,1),(97,1),(98,1),(124,1)}
        82:{2,4,6}:{(62,1),(65,1),(99,1),(100,1)}
        83:{3,6}:{(63,1),(66,1)}
        84:{2,4,6}:{(64,1),(67,1),(69,1),(102,1)}
        85:{3,4,7}:{(65,1),(66,1),(100,1),(103,1),(138,1)}
        86:{1,3,5,7}:{(66,1),(101,1),(103,1),(105,1),(126,1),(129,1),(137,1)}
        87:{2,3,5,7}:{(66,1),(67,1),(102,1),(104,1),(105,1),(127,1)}
        88:{3,4,6}:{(68,1),(71,1),(106,1),(107,1),(108,1),(131,1),(138,1)}
        89:{1,3,5,6}:{(68,1),(70,1),(72,1),(77,1),(101,1),(107,1),(109,1),(111,1),(126,1),(131,1),(137,1)}
        90:{2,3,5,6}:{(68,1),(69,1),(73,1),(78,1),(102,1),(108,1),(109,1),(112,1),(127,1),(131,1),(132,1)}
        91:{1,4,7}:{(71,1),(72,1),(107,1)}
        92:{2,4,7}:{(71,1),(73,1),(108,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(109,1),(110,1)}
        94:{3,5}:{(75,1),(76,1),(112,1)}
        95:{1,3,4,6}:{(76,1),(77,1),(79,1),(107,1),(111,1),(113,1),(131,1),(138,1)}
        96:{2,4,6}:{(76,1),(78,1),(80,1),(112,1)}
        97:{1,2,6}:{(77,1),(78,1),(81,1)}
        98:{1,2,4,7}:{(79,1),(80,1),(81,1),(113,1),(114,1)}
        99:{2,4,5}:{(82,1),(115,1)}
       100:{3,4,6}:{(82,1),(83,1),(85,1),(115,1),(116,1)}
       101:{1,3,6}:{(83,1),(86,1),(116,1),(118,1)}
       102:{2,3,6}:{(83,1),(84,1),(87,1),(118,1)}
       103:{1,4,7}:{(85,1),(86,1),(116,1),(139,1)}
       104:{2,3,4,7}:{(85,1),(87,1),(92,1),(117,1),(119,1),(123,1)}
       105:{1,2,5,7}:{(86,1),(87,1),(118,1),(119,1),(133,1)}
       106:{3,4,5}:{(88,1),(94,1),(115,1),(120,1),(121,1),(135,1)}
       107:{1,4,6}:{(88,1),(89,1),(91,1),(120,1),(139,1)}
       108:{2,4,6}:{(88,1),(90,1),(92,1),(121,1),(136,1)}
       109:{1,2,5,6}:{(89,1),(90,1),(93,1),(97,1),(118,1),(122,1),(124,1),(133,1)}
       110:{1,2,4,7}:{(91,1),(92,1),(93,1),(122,1),(123,1)}
       111:{1,3,5}:{(94,1),(95,1),(120,1),(124,1),(135,1)}
       112:{2,5}:{(94,1),(96,1)}
       113:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(124,1),(125,1),(136,1)}
       114:{2,3,7}:{(98,1),(123,1),(125,1)}
       115:{3,5}:{(99,1),(100,1),(126,1)}
       116:{1,4,6}:{(100,1),(101,1),(103,1),(126,1)}
       117:{2,3,4,6}:{(100,1),(102,1),(104,1),(108,1),(127,1),(128,1),(131,1),(138,1)}
       118:{1,2,6}:{(101,1),(102,1),(105,1)}
       119:{1,2,4,7}:{(103,1),(104,1),(105,1),(128,1),(129,1)}
       120:{1,4,5}:{(106,1),(107,1),(111,1),(126,1)}
       121:{2,4,5}:{(106,1),(108,1),(112,1),(127,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(110,1),(130,1),(131,1)}
       123:{3,7}:{(110,1),(131,1)}
       124:{1,2,5}:{(111,1),(112,1),(113,1),(132,1)}
       125:{2,3,6}:{(113,1),(114,1),(131,1),(132,1)}
       126:{1,5}:{(115,1),(116,1)}
       127:{2,3,5}:{(115,1),(117,1),(121,1),(133,1),(135,1)}
       128:{1,2,4,6}:{(116,1),(117,1),(118,1),(119,1),(133,1),(134,1),(139,1)}
       129:{1,3,7}:{(119,1),(123,1),(134,1)}
       130:{1,2,4,5}:{(120,1),(121,1),(122,1),(124,1),(133,1),(135,1),(136,1),(139,1)}
       131:{3,6}:{(122,1),(123,1),(135,1)}
       132:{2,3,5}:{(124,1),(125,1),(135,1),(136,1)}
       133:{1,2,5}:{(126,1),(127,1),(128,1),(137,1)}
       134:{1,3,6}:{(128,1),(129,1),(131,1),(137,1)}
       135:{3,5}:{(130,1),(131,1),(138,1)}
       136:{2,4}:{(132,1),(138,1)}
       137:{1,3,5}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,4}:{(135,1),(136,1),(139,1)}
       139:{1,4}:{(137,1),(138,1)}

1590 :   0:{2,3,4,5,7}:{(1,1),(2,1),(15,1),(51,1),(111,1),(127,1),(131,1),(164,1),(171,1),(179,1)}
         1:{2,3,4,6}:{(0,1),(7,1),(8,1),(99,1),(186,1),(191,1),(195,1)}
         2:{1,2,4,5,7}:{(0,1),(8,1),(9,1),(29,1),(37,1),(88,1),(96,1),(100,1)}
         3:{1,3,4,5,7}:{(10,1),(11,1),(21,1),(45,1),(69,1),(128,1),(163,1),(167,1),(171,1),(199,1)}
         4:{2,4,5,6,7}:{(13,1),(60,1),(198,1)}
         5:{2,3,4,6,7}:{(1,1),(15,1),(16,1),(60,1),(124,1),(127,1),(176,1)}
         6:{3,4,5,6}:{(14,1),(17,1),(18,1),(67,1),(167,1),(200,1)}
         7:{2,3,5,6}:{(1,1),(15,1),(18,1),(19,1),(67,1),(111,1),(204,1)}
         8:{1,2,4,6}:{(1,1),(2,1),(19,1),(20,1),(68,1)}
         9:{1,3,5,7}:{(2,1),(20,1),(21,1),(69,1),(171,1)}
        10:{1,3,4,6}:{(3,1),(25,1),(26,1),(140,1),(157,1),(191,1),(207,1)}
        11:{1,2,4,5,7}:{(3,1),(26,1),(27,1),(29,1),(75,1),(88,1),(137,1),(141,1)}
        12:{1,2,3,5,7}:{(9,1),(27,1),(28,1),(29,1),(88,1)}
        13:{3,5,6,7}:{(4,1),(32,1),(33,1),(206,1)}
        14:{3,4,5,7}:{(6,1),(32,1),(35,1),(36,1),(95,1)}
        15:{2,3,5,7}:{(5,1),(7,1),(36,1),(37,1),(95,1),(193,1)}
        16:{1,2,4,6,7}:{(5,1),(8,1),(37,1),(38,1),(96,1)}
        17:{1,4,5,6}:{(6,1),(35,1),(39,1),(187,1),(207,1)}
        18:{2,4,5,6}:{(6,1),(7,1),(36,1),(141,1),(186,1)}
        19:{1,2,5,6}:{(7,1),(8,1),(37,1),(41,1),(88,1)}
        20:{1,3,6}:{(8,1),(9,1),(191,1)}
        21:{1,3,4,7}:{(9,1),(29,1),(42,1),(96,1),(144,1)}
        22:{1,4,5,6,7}:{(43,1),(101,1),(178,1)}
        23:{1,3,4,6,7}:{(10,1),(45,1),(46,1),(101,1),(160,1),(163,1),(196,1)}
        24:{3,4,5,6}:{(44,1),(47,1),(48,1),(109,1),(131,1),(180,1)}
        25:{1,3,5,6}:{(10,1),(45,1),(47,1),(49,1),(69,1),(109,1),(209,1)}
        26:{1,2,4,6}:{(10,1),(11,1),(49,1),(50,1),(110,1)}
        27:{2,3,5,7}:{(11,1),(50,1),(51,1),(111,1),(171,1)}
        28:{1,2,3,6}:{(12,1),(20,1),(50,1),(56,1)}
        29:{1,2,4,7}:{(12,1),(21,1),(51,1),(56,1)}
        30:{1,3,4,5}:{(53,1),(57,1),(122,1),(131,1),(175,1)}
        31:{2,3,4,5}:{(54,1),(58,1),(121,1),(167,1),(174,1)}
        32:{3,4,6,7}:{(13,1),(14,1),(59,1),(60,1),(124,1),(200,1)}
        33:{1,5,6,7}:{(13,1),(59,1),(209,1)}
        34:{2,3,5,6,7}:{(13,1),(15,1),(60,1),(61,1),(124,1),(165,1)}
        35:{1,4,5,7}:{(14,1),(17,1),(59,1),(62,1)}
        36:{2,4,5,7}:{(14,1),(15,1),(18,1),(60,1)}
        37:{1,2,5,7}:{(15,1),(16,1),(19,1),(64,1)}
        38:{1,3,6,7}:{(16,1),(20,1),(64,1),(124,1)}
        39:{1,3,5,6}:{(17,1),(53,1),(62,1),(66,1),(67,1),(175,1),(203,1)}
        40:{1,2,4,5,6}:{(17,1),(18,1),(19,1),(63,1),(66,1),(67,1),(68,1),(119,1),(130,1),(172,1),(178,1),(204,1)}
        41:{1,3,5,6}:{(19,1),(20,1),(64,1),(67,1),(68,1),(69,1)}
        42:{1,3,4,6}:{(20,1),(21,1),(56,1),(68,1),(69,1),(118,1)}
        43:{3,5,6,7}:{(22,1),(70,1),(72,1),(194,1)}
        44:{3,4,5,7}:{(24,1),(70,1),(73,1),(74,1),(136,1)}
        45:{1,3,5,7}:{(23,1),(25,1),(73,1),(75,1),(136,1),(205,1)}
        46:{1,2,4,6,7}:{(23,1),(26,1),(75,1),(76,1),(137,1)}
        47:{1,4,5,6}:{(24,1),(25,1),(73,1),(100,1),(157,1)}
        48:{2,4,5,6}:{(24,1),(74,1),(77,1),(158,1),(195,1)}
        49:{1,2,5,6}:{(25,1),(26,1),(75,1),(79,1),(88,1)}
        50:{2,3,6}:{(26,1),(27,1),(191,1)}
        51:{2,3,4,7}:{(27,1),(29,1),(80,1),(137,1),(144,1)}
        52:{1,2,3,6,7}:{(28,1),(38,1),(76,1),(83,1),(84,1),(152,1),(181,1),(191,1),(208,1)}
        53:{1,3,4,6}:{(30,1),(39,1),(81,1),(85,1),(99,1)}
        54:{2,3,4,6}:{(31,1),(77,1),(82,1),(86,1),(140,1)}
        55:{1,2,3,5,6}:{(28,1),(41,1),(79,1),(83,1),(87,1),(88,1),(98,1),(139,1),(146,1),(147,1),(150,1),(191,1),(192,1),(208,1)}
        56:{1,2,4,6}:{(28,1),(29,1),(42,1),(80,1),(88,1)}
        57:{1,2,4,5}:{(30,1),(85,1),(89,1),(151,1),(158,1),(192,1)}
        58:{1,2,4,5}:{(31,1),(86,1),(90,1),(151,1),(187,1),(192,1)}
        59:{1,4,6,7}:{(32,1),(33,1),(35,1),(91,1),(207,1)}
        60:{2,4,6,7}:{(32,1),(34,1),(36,1),(186,1)}
        61:{1,2,5,6,7}:{(33,1),(34,1),(37,1),(92,1),(93,1),(146,1),(193,1)}
        62:{1,3,5,7}:{(35,1),(39,1),(81,1),(91,1),(94,1),(95,1)}
        63:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(40,1),(92,1),(94,1),(95,1),(96,1),(154,1),(155,1),(193,1)}
        64:{1,3,5,7}:{(37,1),(38,1),(41,1),(95,1),(96,1)}
        65:{1,3,4,6,7}:{(38,1),(42,1),(84,1),(96,1),(97,1),(144,1),(153,1),(157,1),(191,1)}
        66:{1,2,5,6}:{(39,1),(85,1),(94,1),(98,1),(192,1),(208,1)}
        67:{3,5,6}:{(40,1),(95,1),(99,1),(150,1),(191,1)}
        68:{1,4,6}:{(41,1),(96,1),(99,1),(100,1)}
        69:{1,3,5}:{(42,1),(88,1),(100,1),(150,1)}
        70:{3,4,6,7}:{(43,1),(44,1),(101,1),(102,1),(160,1),(180,1)}
        71:{1,3,5,6,7}:{(43,1),(45,1),(101,1),(103,1),(129,1),(160,1)}
        72:{2,5,6,7}:{(43,1),(102,1),(204,1)}
        73:{1,4,5,7}:{(44,1),(45,1),(47,1),(101,1)}
        74:{2,4,5,7}:{(44,1),(48,1),(102,1),(104,1)}
        75:{1,2,5,7}:{(45,1),(46,1),(49,1),(106,1)}
        76:{2,3,6,7}:{(46,1),(50,1),(106,1),(160,1)}
        77:{2,3,5,6}:{(48,1),(54,1),(104,1),(108,1),(109,1),(174,1),(202,1)}
        78:{1,2,4,5,6}:{(47,1),(48,1),(49,1),(105,1),(108,1),(109,1),(110,1),(119,1),(166,1),(172,1),(198,1),(209,1)}
        79:{2,3,5,6}:{(49,1),(50,1),(106,1),(109,1),(110,1),(111,1)}
        80:{2,3,4,6}:{(50,1),(51,1),(56,1),(110,1),(111,1),(118,1)}
        81:{1,3,4,7}:{(53,1),(62,1),(112,1),(127,1)}
        82:{2,3,4,7}:{(54,1),(104,1),(113,1),(163,1)}
        83:{1,2,3,5,7}:{(52,1),(55,1),(64,1),(106,1),(114,1),(115,1),(126,1),(162,1),(168,1),(171,1),(201,1)}
        84:{1,2,4,6,7}:{(52,1),(56,1),(65,1),(107,1),(114,1),(115,1),(172,1),(176,1),(196,1)}
        85:{1,2,4,6}:{(53,1),(57,1),(66,1),(112,1),(116,1),(130,1)}
        86:{1,2,4,6}:{(54,1),(58,1),(108,1),(113,1),(117,1),(166,1)}
        87:{1,2,4,6}:{(55,1),(68,1),(110,1),(114,1),(118,1),(119,1),(130,1),(166,1)}
        88:{1,2,5}:{(56,1),(69,1),(111,1)}
        89:{2,3,5}:{(57,1),(116,1),(121,1)}
        90:{1,3,5}:{(58,1),(117,1),(122,1)}
        91:{1,3,6,7}:{(59,1),(62,1),(123,1),(124,1),(203,1)}
        92:{1,2,4,6,7}:{(59,1),(60,1),(61,1),(63,1),(123,1),(124,1),(125,1),(172,1),(176,1)}
        93:{1,3,5,6,7}:{(61,1),(64,1),(124,1),(125,1),(129,1),(177,1)}
        94:{1,2,5,7}:{(62,1),(66,1),(112,1),(123,1),(126,1)}
        95:{3,5,7}:{(63,1),(67,1),(124,1),(127,1)}
        96:{1,4,7}:{(64,1),(68,1),(127,1)}
        97:{1,3,5,7}:{(65,1),(69,1),(115,1),(128,1),(129,1),(171,1),(177,1)}
        98:{2,3,5,6}:{(66,1),(67,1),(116,1),(126,1),(130,1),(174,1),(202,1),(204,1)}
        99:{3,4,6}:{(67,1),(68,1),(127,1),(130,1),(131,1)}
       100:{1,4,5}:{(68,1),(69,1),(131,1)}
       101:{1,4,6,7}:{(70,1),(71,1),(73,1),(157,1)}
       102:{2,4,6,7}:{(70,1),(72,1),(74,1),(132,1),(195,1)}
       103:{1,2,5,6,7}:{(71,1),(72,1),(75,1),(133,1),(134,1),(146,1),(205,1)}
       104:{2,3,5,7}:{(74,1),(77,1),(82,1),(132,1),(135,1),(136,1)}
       105:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(78,1),(133,1),(135,1),(136,1),(137,1),(183,1),(184,1),(205,1)}
       106:{2,3,5,7}:{(75,1),(76,1),(79,1),(136,1),(137,1)}
       107:{2,3,4,6,7}:{(76,1),(80,1),(84,1),(137,1),(138,1),(144,1),(182,1),(186,1),(191,1)}
       108:{1,2,5,6}:{(77,1),(86,1),(135,1),(139,1),(192,1),(208,1)}
       109:{3,5,6}:{(78,1),(136,1),(140,1),(150,1),(191,1)}
       110:{2,4,6}:{(79,1),(137,1),(140,1),(141,1)}
       111:{2,3,5}:{(80,1),(88,1),(141,1),(150,1)}
       112:{1,2,4,7}:{(81,1),(85,1),(94,1),(142,1),(155,1)}
       113:{1,2,4,7}:{(82,1),(86,1),(135,1),(143,1),(184,1)}
       114:{1,2,4,7}:{(83,1),(87,1),(96,1),(137,1),(144,1),(155,1),(184,1)}
       115:{1,2,5,7}:{(84,1),(88,1),(97,1),(138,1),(146,1),(193,1),(205,1)}
       116:{2,3,6}:{(85,1),(89,1),(142,1)}
       117:{1,3,6}:{(86,1),(90,1),(143,1)}
       118:{3,4,6}:{(87,1),(144,1),(150,1),(191,1)}
       119:{1,2,4,5}:{(87,1),(88,1),(100,1),(141,1),(150,1),(158,1),(187,1),(192,1)}
       120:{1,2,3,5}:{(89,1),(90,1),(147,1),(151,1),(192,1)}
       121:{2,3,4}:{(89,1),(151,1)}
       122:{1,3,4}:{(90,1),(151,1)}
       123:{1,2,6,7}:{(91,1),(94,1),(152,1),(208,1)}
       124:{3,6,7}:{(92,1),(95,1),(191,1)}
       125:{1,4,6,7}:{(93,1),(96,1),(153,1),(154,1),(157,1)}
       126:{2,3,5,7}:{(94,1),(95,1),(98,1),(142,1),(152,1),(155,1),(193,1)}
       127:{3,4,7}:{(95,1),(96,1),(99,1),(155,1)}
       128:{1,4,5,7}:{(96,1),(97,1),(100,1),(156,1),(157,1)}
       129:{1,3,5,6}:{(97,1),(146,1),(157,1),(191,1),(194,1)}
       130:{2,4,6}:{(98,1),(99,1),(155,1),(158,1)}
       131:{3,4,5}:{(99,1),(100,1),(150,1),(158,1)}
       132:{2,3,6,7}:{(102,1),(104,1),(159,1),(160,1),(202,1)}
       133:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(105,1),(159,1),(160,1),(161,1),(172,1),(196,1)}
       134:{2,3,5,6,7}:{(103,1),(106,1),(160,1),(161,1),(165,1),(197,1)}
       135:{1,2,5,7}:{(104,1),(108,1),(113,1),(159,1),(162,1)}
       136:{3,5,7}:{(105,1),(109,1),(160,1),(163,1)}
       137:{2,4,7}:{(106,1),(110,1),(163,1)}
       138:{2,3,5,7}:{(107,1),(111,1),(115,1),(164,1),(165,1),(171,1),(197,1)}
       139:{1,3,5,6}:{(108,1),(109,1),(117,1),(162,1),(166,1),(175,1),(203,1),(209,1)}
       140:{3,4,6}:{(109,1),(110,1),(163,1),(166,1),(167,1)}
       141:{2,4,5}:{(110,1),(111,1),(167,1)}
       142:{2,3,7}:{(112,1),(116,1)}
       143:{1,3,7}:{(113,1),(117,1)}
       144:{3,4,7}:{(114,1),(118,1),(171,1)}
       145:{1,2,4,5,7}:{(114,1),(115,1),(119,1),(128,1),(164,1),(171,1),(172,1),(179,1),(199,1),(201,1)}
       146:{1,2,5,6}:{(115,1),(129,1),(165,1),(172,1),(204,1),(209,1)}
       147:{1,2,3,6}:{(116,1),(117,1),(120,1),(168,1),(173,1)}
       148:{2,3,4,6}:{(116,1),(118,1),(121,1),(130,1),(169,1),(173,1),(174,1),(202,1)}
       149:{1,3,4,6}:{(117,1),(118,1),(122,1),(166,1),(170,1),(173,1),(175,1),(203,1)}
       150:{3,5}:{(118,1),(119,1)}
       151:{1,2,4}:{(120,1),(121,1),(122,1)}
       152:{2,3,6,7}:{(123,1),(124,1),(126,1),(176,1),(202,1)}
       153:{3,4,6,7}:{(124,1),(125,1),(127,1),(176,1),(177,1),(180,1)}
       154:{1,4,5,7}:{(125,1),(177,1),(178,1)}
       155:{2,4,7}:{(126,1),(127,1),(130,1)}
       156:{3,4,5,7}:{(127,1),(128,1),(131,1),(171,1),(177,1),(179,1),(180,1)}
       157:{1,4,6}:{(128,1),(129,1),(180,1)}
       158:{2,4,5}:{(130,1),(131,1),(174,1)}
       159:{1,2,6,7}:{(132,1),(135,1),(181,1),(208,1)}
       160:{3,6,7}:{(133,1),(136,1),(191,1)}
       161:{2,4,6,7}:{(134,1),(137,1),(182,1),(183,1),(186,1)}
       162:{1,3,5,7}:{(135,1),(136,1),(139,1),(143,1),(181,1),(184,1),(205,1)}
       163:{3,4,7}:{(136,1),(137,1),(140,1),(184,1)}
       164:{2,4,5,7}:{(137,1),(138,1),(141,1),(185,1),(186,1)}
       165:{2,3,5,6}:{(138,1),(146,1),(186,1),(191,1),(206,1)}
       166:{1,4,6}:{(139,1),(140,1),(184,1),(187,1)}
       167:{3,4,5}:{(140,1),(141,1),(150,1),(187,1)}
       168:{1,2,3,7}:{(142,1),(143,1),(147,1),(188,1)}
       169:{2,3,4,7}:{(142,1),(144,1),(148,1),(155,1),(188,1),(189,1)}
       170:{1,3,4,7}:{(143,1),(144,1),(149,1),(184,1),(188,1),(190,1)}
       171:{3,5,7}:{(144,1),(145,1),(150,1),(191,1)}
       172:{1,2,4,6}:{(145,1),(146,1),(157,1),(186,1),(191,1),(195,1),(207,1),(208,1)}
       173:{1,2,4,6}:{(147,1),(148,1),(149,1),(151,1),(188,1),(192,1),(208,1)}
       174:{2,3,5}:{(148,1),(150,1),(158,1),(192,1)}
       175:{1,3,5}:{(149,1),(150,1),(187,1),(192,1)}
       176:{2,4,6,7}:{(152,1),(153,1),(155,1),(193,1),(195,1)}
       177:{3,5,7}:{(153,1),(154,1),(193,1),(194,1)}
       178:{1,4,5,6}:{(154,1),(157,1),(194,1)}
       179:{2,4,5,7}:{(155,1),(156,1),(158,1),(189,1),(193,1),(195,1)}
       180:{3,4,6}:{(156,1),(157,1),(191,1),(194,1),(195,1)}
       181:{1,3,6,7}:{(159,1),(160,1),(162,1),(196,1),(203,1)}
       182:{3,4,6,7}:{(160,1),(161,1),(163,1),(196,1),(197,1),(200,1)}
       183:{2,4,5,7}:{(161,1),(197,1),(198,1)}
       184:{1,4,7}:{(162,1),(163,1),(166,1)}
       185:{3,4,5,7}:{(163,1),(164,1),(167,1),(171,1),(197,1),(199,1),(200,1)}
       186:{2,4,6}:{(164,1),(165,1),(200,1)}
       187:{1,4,5}:{(166,1),(167,1),(175,1)}
       188:{1,2,4,7}:{(168,1),(169,1),(170,1),(173,1),(201,1)}
       189:{2,3,5,7}:{(169,1),(171,1),(174,1),(179,1),(201,1),(202,1)}
       190:{1,3,5,7}:{(170,1),(171,1),(175,1),(199,1),(201,1),(203,1)}
       191:{3,6}:{(171,1),(172,1)}
       192:{1,2,5}:{(173,1),(174,1),(175,1)}
       193:{2,5,7}:{(176,1),(177,1),(204,1)}
       194:{3,5,6}:{(177,1),(178,1),(180,1),(204,1)}
       195:{2,4,6}:{(179,1),(180,1),(202,1),(204,1)}
       196:{1,4,6,7}:{(181,1),(182,1),(184,1),(205,1),(207,1)}
       197:{3,5,7}:{(182,1),(183,1),(205,1),(206,1)}
       198:{2,4,5,6}:{(183,1),(186,1),(206,1)}
       199:{1,4,5,7}:{(184,1),(185,1),(187,1),(190,1),(205,1),(207,1)}
       200:{3,4,6}:{(185,1),(186,1),(191,1),(206,1),(207,1)}
       201:{1,2,5,7}:{(188,1),(189,1),(190,1),(192,1),(208,1)}
       202:{2,3,6}:{(189,1),(191,1),(195,1),(208,1)}
       203:{1,3,6}:{(190,1),(191,1),(207,1),(208,1)}
       204:{2,5,6}:{(193,1),(194,1),(195,1)}
       205:{1,5,7}:{(196,1),(197,1),(209,1)}
       206:{3,5,6}:{(197,1),(198,1),(200,1),(209,1)}
       207:{1,4,6}:{(199,1),(200,1),(203,1),(209,1)}
       208:{1,2,6}:{(201,1),(202,1),(203,1)}
       209:{1,5,6}:{(205,1),(206,1),(207,1)}

1591 :   0:{2,3,4,5}:{(1,1),(2,1),(47,1),(111,1),(130,1)}
         1:{2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(95,1)}
         2:{1,2,4,5}:{(0,1),(7,1),(8,1),(28,1),(87,1),(98,1)}
         3:{1,3,4,5}:{(9,1),(10,1),(19,1),(66,1),(171,1)}
         4:{3,4,5,6}:{(12,1),(13,1),(14,1),(61,1),(171,1),(214,1),(222,1)}
         5:{2,3,5,6}:{(1,1),(14,1),(15,1),(16,1),(61,1),(111,1),(174,1)}
         6:{2,3,4,7}:{(1,1),(15,1),(17,1),(129,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(18,1),(64,1)}
         8:{1,3,5}:{(2,1),(18,1),(19,1)}
         9:{1,3,4,6}:{(3,1),(21,1),(22,1),(23,1),(141,1)}
        10:{1,2,4,5}:{(3,1),(23,1),(24,1),(28,1),(87,1),(144,1)}
        11:{1,2,3,5}:{(8,1),(24,1),(27,1),(28,1),(87,1)}
        12:{3,4,5,7}:{(4,1),(31,1),(32,1),(33,1),(94,1),(208,1)}
        13:{1,4,5,6}:{(4,1),(29,1),(32,1),(193,1),(224,1)}
        14:{2,4,5,6}:{(4,1),(5,1),(33,1),(144,1),(198,1)}
        15:{2,3,5,7}:{(5,1),(6,1),(33,1),(35,1),(36,1),(94,1)}
        16:{1,2,5,6}:{(5,1),(7,1),(36,1),(37,1),(87,1),(156,1)}
        17:{1,2,4,7}:{(6,1),(7,1),(36,1),(38,1),(97,1)}
        18:{1,3,6}:{(7,1),(8,1),(38,1)}
        19:{1,3,4}:{(8,1),(28,1)}
        20:{3,4,5,6}:{(40,1),(41,1),(42,1),(106,1),(130,1),(189,1),(230,1)}
        21:{1,3,5,6}:{(9,1),(41,1),(43,1),(44,1),(66,1),(106,1),(133,1)}
        22:{1,3,4,7}:{(9,1),(43,1),(45,1),(170,1)}
        23:{1,2,4,6}:{(9,1),(10,1),(44,1),(45,1),(46,1),(109,1)}
        24:{2,3,5}:{(10,1),(46,1),(47,1)}
        25:{2,3,4,5}:{(48,1),(49,1),(118,1),(171,1),(180,1)}
        26:{1,3,4,5}:{(50,1),(51,1),(115,1),(130,1),(178,1)}
        27:{1,2,3,6}:{(11,1),(18,1),(46,1),(53,1),(54,1)}
        28:{1,2,4}:{(11,1),(19,1),(47,1)}
        29:{1,3,5,6}:{(13,1),(50,1),(55,1),(56,1),(61,1),(178,1),(217,1)}
        30:{4,5,6,7}:{(57,1),(187,1),(230,1)}
        31:{3,4,6,7}:{(12,1),(57,1),(58,1),(59,1),(128,1),(187,1),(214,1)}
        32:{1,4,5,7}:{(12,1),(13,1),(55,1),(58,1)}
        33:{2,4,5,7}:{(12,1),(14,1),(15,1),(59,1)}
        34:{1,2,4,5,6}:{(13,1),(14,1),(16,1),(56,1),(60,1),(61,1),(64,1),(122,1),(126,1),(184,1),(190,1),(221,1),(222,1)}
        35:{2,3,6,7}:{(15,1),(59,1),(62,1),(128,1),(174,1)}
        36:{1,2,5,7}:{(15,1),(16,1),(17,1),(62,1),(63,1)}
        37:{1,3,5,6}:{(16,1),(18,1),(61,1),(63,1),(64,1),(66,1),(133,1),(190,1)}
        38:{1,3,7}:{(17,1),(18,1)}
        39:{1,3,4,6}:{(18,1),(19,1),(54,1),(64,1),(65,1),(66,1),(119,1),(133,1)}
        40:{3,4,5,7}:{(20,1),(69,1),(70,1),(71,1),(140,1),(225,1)}
        41:{1,4,5,6}:{(20,1),(21,1),(70,1),(98,1),(164,1)}
        42:{2,4,5,6}:{(20,1),(67,1),(71,1),(159,1),(207,1)}
        43:{1,3,5,7}:{(21,1),(22,1),(70,1),(73,1),(74,1),(140,1)}
        44:{1,2,5,6}:{(21,1),(23,1),(74,1),(75,1),(87,1),(156,1)}
        45:{1,2,4,7}:{(22,1),(23,1),(74,1),(76,1),(143,1)}
        46:{2,3,6}:{(23,1),(24,1),(76,1)}
        47:{2,3,4}:{(24,1),(28,1)}
        48:{2,3,4,6}:{(25,1),(67,1),(78,1),(79,1),(141,1)}
        49:{1,2,4,5}:{(25,1),(79,1),(80,1),(147,1),(193,1),(200,1)}
        50:{1,3,4,6}:{(26,1),(29,1),(81,1),(82,1),(95,1)}
        51:{1,2,4,5}:{(26,1),(82,1),(83,1),(147,1),(159,1),(200,1)}
        52:{1,2,3,5,6}:{(27,1),(37,1),(75,1),(84,1),(85,1),(87,1),(90,1),(136,1),(146,1),(153,1),(156,1),(200,1),(204,1),(205,1),(227,1)}
        53:{1,2,3,7}:{(27,1),(38,1),(76,1),(86,1)}
        54:{1,2,4,6}:{(27,1),(28,1),(39,1),(77,1),(86,1),(87,1),(156,1)}
        55:{1,3,5,7}:{(29,1),(32,1),(81,1),(88,1),(89,1),(94,1)}
        56:{1,2,5,6}:{(29,1),(82,1),(89,1),(90,1),(200,1),(227,1)}
        57:{3,5,6,7}:{(30,1),(31,1),(91,1),(92,1),(226,1)}
        58:{1,4,6,7}:{(31,1),(32,1),(88,1),(91,1),(224,1)}
        59:{2,4,6,7}:{(31,1),(33,1),(35,1),(92,1),(198,1)}
        60:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(36,1),(89,1),(93,1),(94,1),(97,1),(158,1),(163,1),(206,1),(208,1)}
        61:{3,5,6}:{(34,1),(94,1),(95,1),(153,1),(204,1)}
        62:{1,2,6,7}:{(35,1),(36,1),(96,1),(156,1)}
        63:{1,3,5,7}:{(36,1),(37,1),(38,1),(94,1),(96,1),(97,1),(163,1)}
        64:{1,4,6}:{(37,1),(95,1),(97,1),(98,1)}
        65:{1,3,4,7}:{(38,1),(39,1),(86,1),(97,1),(99,1),(152,1)}
        66:{1,3,5}:{(39,1),(87,1),(98,1),(153,1)}
        67:{2,3,5,6}:{(42,1),(48,1),(100,1),(101,1),(106,1),(180,1),(218,1)}
        68:{4,5,6,7}:{(102,1),(212,1),(222,1)}
        69:{3,4,6,7}:{(40,1),(102,1),(103,1),(104,1),(169,1),(189,1),(212,1)}
        70:{1,4,5,7}:{(40,1),(41,1),(43,1),(103,1)}
        71:{2,4,5,7}:{(40,1),(42,1),(100,1),(104,1)}
        72:{1,2,4,5,6}:{(41,1),(42,1),(44,1),(101,1),(105,1),(106,1),(109,1),(122,1),(167,1),(184,1),(215,1),(229,1),(230,1)}
        73:{1,3,6,7}:{(43,1),(103,1),(107,1),(133,1),(169,1)}
        74:{1,2,5,7}:{(43,1),(44,1),(45,1),(107,1),(108,1)}
        75:{2,3,5,6}:{(44,1),(46,1),(106,1),(108,1),(109,1),(111,1),(174,1),(215,1)}
        76:{2,3,7}:{(45,1),(46,1)}
        77:{2,3,4,6}:{(46,1),(47,1),(54,1),(109,1),(110,1),(111,1),(119,1),(174,1)}
        78:{2,3,4,7}:{(48,1),(100,1),(113,1),(170,1)}
        79:{1,2,4,6}:{(48,1),(49,1),(101,1),(113,1),(114,1),(167,1)}
        80:{1,3,5}:{(49,1),(114,1),(115,1)}
        81:{1,3,4,7}:{(50,1),(55,1),(116,1),(129,1)}
        82:{1,2,4,6}:{(50,1),(51,1),(56,1),(116,1),(117,1),(126,1)}
        83:{2,3,5}:{(51,1),(117,1),(118,1)}
        84:{1,2,3,5,7}:{(52,1),(53,1),(63,1),(108,1),(120,1),(121,1),(123,1),(125,1),(166,1),(175,1),(182,1),(183,1),(216,1)}
        85:{1,2,4,6}:{(52,1),(64,1),(109,1),(119,1),(121,1),(122,1),(126,1),(167,1)}
        86:{1,2,4,7}:{(53,1),(54,1),(65,1),(110,1),(123,1)}
        87:{1,2,5}:{(54,1),(66,1),(111,1)}
        88:{1,3,6,7}:{(55,1),(58,1),(124,1),(128,1),(217,1)}
        89:{1,2,5,7}:{(55,1),(56,1),(116,1),(124,1),(125,1)}
        90:{2,3,5,6}:{(56,1),(61,1),(117,1),(125,1),(126,1),(180,1),(218,1),(221,1)}
        91:{1,5,6,7}:{(57,1),(58,1),(229,1)}
        92:{2,5,6,7}:{(57,1),(59,1),(215,1)}
        93:{1,2,4,6,7}:{(58,1),(59,1),(60,1),(62,1),(124,1),(127,1),(128,1),(131,1),(184,1),(185,1),(187,1)}
        94:{3,5,7}:{(60,1),(61,1),(128,1),(129,1)}
        95:{3,4,6}:{(61,1),(64,1),(126,1),(129,1),(130,1)}
        96:{1,3,6,7}:{(62,1),(63,1),(128,1),(131,1),(133,1)}
        97:{1,4,7}:{(63,1),(64,1),(129,1)}
        98:{1,4,5}:{(64,1),(66,1),(130,1)}
        99:{1,3,5,7}:{(65,1),(66,1),(123,1),(132,1),(133,1),(182,1)}
       100:{2,3,5,7}:{(67,1),(71,1),(78,1),(134,1),(135,1),(140,1)}
       101:{1,2,5,6}:{(67,1),(79,1),(135,1),(136,1),(200,1),(227,1)}
       102:{3,5,6,7}:{(68,1),(69,1),(137,1),(138,1),(209,1)}
       103:{1,4,6,7}:{(69,1),(70,1),(73,1),(137,1),(164,1)}
       104:{2,4,6,7}:{(69,1),(71,1),(134,1),(138,1),(207,1)}
       105:{1,2,4,5,7}:{(70,1),(71,1),(72,1),(74,1),(135,1),(139,1),(140,1),(143,1),(192,1),(197,1),(223,1),(225,1)}
       106:{3,5,6}:{(72,1),(140,1),(141,1),(153,1),(204,1)}
       107:{1,2,6,7}:{(73,1),(74,1),(142,1),(156,1)}
       108:{2,3,5,7}:{(74,1),(75,1),(76,1),(140,1),(142,1),(143,1),(197,1)}
       109:{2,4,6}:{(75,1),(141,1),(143,1),(144,1)}
       110:{2,3,4,7}:{(76,1),(77,1),(86,1),(143,1),(145,1),(152,1)}
       111:{2,3,5}:{(77,1),(87,1),(144,1),(153,1)}
       112:{1,2,3,5}:{(80,1),(83,1),(146,1),(147,1),(200,1)}
       113:{1,2,4,7}:{(78,1),(79,1),(135,1),(148,1),(192,1)}
       114:{1,3,6}:{(79,1),(80,1),(148,1)}
       115:{1,3,4}:{(80,1),(147,1)}
       116:{1,2,4,7}:{(81,1),(82,1),(89,1),(150,1),(158,1)}
       117:{2,3,6}:{(82,1),(83,1),(150,1)}
       118:{2,3,4}:{(83,1),(147,1)}
       119:{3,4,6}:{(85,1),(152,1),(153,1),(204,1)}
       120:{1,2,3,6,7}:{(84,1),(96,1),(142,1),(154,1),(156,1),(157,1),(191,1),(204,1),(227,1)}
       121:{1,2,4,7}:{(84,1),(85,1),(97,1),(143,1),(152,1),(158,1),(192,1)}
       122:{1,2,4,5}:{(85,1),(87,1),(98,1),(144,1),(153,1),(159,1),(193,1),(200,1)}
       123:{1,2,5,7}:{(86,1),(87,1),(99,1),(145,1),(156,1)}
       124:{1,2,6,7}:{(88,1),(89,1),(157,1),(227,1)}
       125:{2,3,5,7}:{(89,1),(90,1),(94,1),(150,1),(157,1),(158,1),(206,1)}
       126:{2,4,6}:{(90,1),(95,1),(158,1),(159,1)}
       127:{1,2,5,6,7}:{(91,1),(92,1),(93,1),(160,1),(163,1),(205,1),(206,1)}
       128:{3,6,7}:{(93,1),(94,1),(204,1)}
       129:{3,4,7}:{(94,1),(95,1),(97,1),(158,1)}
       130:{3,4,5}:{(95,1),(98,1),(153,1),(159,1)}
       131:{1,4,6,7}:{(96,1),(97,1),(161,1),(163,1),(164,1)}
       132:{1,4,5,7}:{(97,1),(98,1),(99,1),(162,1),(163,1),(164,1)}
       133:{1,3,6}:{(99,1),(156,1),(164,1),(204,1)}
       134:{2,3,6,7}:{(100,1),(104,1),(165,1),(169,1),(218,1)}
       135:{1,2,5,7}:{(100,1),(101,1),(113,1),(165,1),(166,1)}
       136:{1,3,5,6}:{(101,1),(106,1),(114,1),(166,1),(167,1),(178,1),(217,1),(229,1)}
       137:{1,5,6,7}:{(102,1),(103,1),(190,1)}
       138:{2,5,6,7}:{(102,1),(104,1),(221,1)}
       139:{1,2,4,6,7}:{(103,1),(104,1),(105,1),(107,1),(165,1),(168,1),(169,1),(172,1),(184,1),(210,1),(212,1)}
       140:{3,5,7}:{(105,1),(106,1),(169,1),(170,1)}
       141:{3,4,6}:{(106,1),(109,1),(167,1),(170,1),(171,1)}
       142:{2,3,6,7}:{(107,1),(108,1),(169,1),(172,1),(174,1)}
       143:{2,4,7}:{(108,1),(109,1),(170,1)}
       144:{2,4,5}:{(109,1),(111,1),(171,1)}
       145:{2,3,5,7}:{(110,1),(111,1),(123,1),(173,1),(174,1),(182,1)}
       146:{1,2,3,6}:{(112,1),(114,1),(117,1),(175,1),(176,1)}
       147:{1,2,4}:{(112,1),(115,1),(118,1)}
       148:{1,3,7}:{(113,1),(114,1)}
       149:{1,3,4,6}:{(114,1),(115,1),(119,1),(167,1),(176,1),(177,1),(178,1),(217,1)}
       150:{2,3,7}:{(116,1),(117,1)}
       151:{2,3,4,6}:{(117,1),(118,1),(119,1),(126,1),(176,1),(179,1),(180,1),(218,1)}
       152:{3,4,7}:{(119,1),(121,1),(182,1)}
       153:{3,5}:{(119,1),(122,1)}
       154:{1,2,4,6,7}:{(120,1),(121,1),(131,1),(172,1),(181,1),(183,1),(184,1),(185,1),(210,1)}
       155:{1,2,4,5,7}:{(121,1),(122,1),(123,1),(132,1),(173,1),(182,1),(183,1),(184,1),(186,1),(211,1),(216,1),(219,1)}
       156:{1,2,6}:{(123,1),(133,1),(174,1)}
       157:{2,3,6,7}:{(124,1),(125,1),(128,1),(185,1),(218,1)}
       158:{2,4,7}:{(125,1),(126,1),(129,1)}
       159:{2,4,5}:{(126,1),(130,1),(180,1)}
       160:{3,5,6,7}:{(127,1),(128,1),(187,1),(188,1),(220,1)}
       161:{3,4,6,7}:{(128,1),(129,1),(131,1),(185,1),(187,1),(188,1),(189,1)}
       162:{3,4,5,7}:{(129,1),(130,1),(132,1),(182,1),(186,1),(188,1),(189,1),(219,1)}
       163:{1,5,7}:{(131,1),(188,1),(190,1)}
       164:{1,4,6}:{(132,1),(133,1),(189,1),(190,1)}
       165:{1,2,6,7}:{(134,1),(135,1),(191,1),(227,1)}
       166:{1,3,5,7}:{(135,1),(136,1),(140,1),(148,1),(191,1),(192,1),(223,1)}
       167:{1,4,6}:{(136,1),(141,1),(192,1),(193,1)}
       168:{1,2,5,6,7}:{(137,1),(138,1),(139,1),(194,1),(197,1),(205,1),(223,1)}
       169:{3,6,7}:{(139,1),(140,1),(204,1)}
       170:{3,4,7}:{(140,1),(141,1),(143,1),(192,1)}
       171:{3,4,5}:{(141,1),(144,1),(153,1),(193,1)}
       172:{2,4,6,7}:{(142,1),(143,1),(195,1),(197,1),(198,1)}
       173:{2,4,5,7}:{(143,1),(144,1),(145,1),(196,1),(197,1),(198,1)}
       174:{2,3,6}:{(145,1),(156,1),(198,1),(204,1)}
       175:{1,2,3,7}:{(146,1),(148,1),(150,1),(199,1)}
       176:{1,2,4,6}:{(146,1),(147,1),(149,1),(151,1),(199,1),(200,1),(227,1)}
       177:{1,3,4,7}:{(148,1),(149,1),(152,1),(192,1),(199,1),(201,1)}
       178:{1,3,5}:{(149,1),(153,1),(193,1),(200,1)}
       179:{2,3,4,7}:{(150,1),(151,1),(152,1),(158,1),(199,1),(202,1)}
       180:{2,3,5}:{(151,1),(153,1),(159,1),(200,1)}
       181:{3,4,6,7}:{(152,1),(154,1),(203,1),(204,1),(228,1)}
       182:{3,5,7}:{(152,1),(153,1),(155,1),(204,1)}
       183:{1,2,5,7}:{(154,1),(163,1),(197,1),(203,1),(205,1),(206,1),(223,1)}
       184:{1,2,4,6}:{(155,1),(156,1),(164,1),(198,1),(204,1),(205,1),(207,1),(224,1),(227,1),(228,1)}
       185:{2,4,6,7}:{(157,1),(158,1),(161,1),(206,1),(207,1)}
       186:{2,4,5,7}:{(158,1),(159,1),(162,1),(202,1),(206,1),(207,1)}
       187:{4,6,7}:{(160,1),(208,1),(228,1)}
       188:{3,5,7}:{(161,1),(163,1),(206,1),(208,1),(209,1)}
       189:{3,4,6}:{(162,1),(164,1),(204,1),(207,1),(209,1),(228,1)}
       190:{1,5,6}:{(163,1),(164,1),(209,1)}
       191:{1,3,6,7}:{(165,1),(166,1),(169,1),(210,1),(217,1)}
       192:{1,4,7}:{(166,1),(167,1),(170,1)}
       193:{1,4,5}:{(167,1),(171,1),(178,1)}
       194:{3,5,6,7}:{(168,1),(169,1),(212,1),(213,1),(220,1)}
       195:{3,4,6,7}:{(169,1),(170,1),(172,1),(210,1),(212,1),(213,1),(214,1)}
       196:{3,4,5,7}:{(170,1),(171,1),(173,1),(182,1),(211,1),(213,1),(214,1),(219,1)}
       197:{2,5,7}:{(172,1),(213,1),(215,1)}
       198:{2,4,6}:{(173,1),(174,1),(214,1),(215,1)}
       199:{1,2,4,7}:{(175,1),(176,1),(177,1),(179,1),(216,1)}
       200:{1,2,5}:{(176,1),(178,1),(180,1)}
       201:{1,3,5,7}:{(177,1),(178,1),(182,1),(211,1),(216,1),(217,1)}
       202:{2,3,5,7}:{(179,1),(180,1),(182,1),(186,1),(216,1),(218,1)}
       203:{3,5,7}:{(181,1),(183,1),(219,1),(220,1)}
       204:{3,6}:{(182,1),(184,1)}
       205:{1,2,5,6}:{(183,1),(184,1),(190,1),(215,1),(220,1),(221,1),(229,1)}
       206:{2,5,7}:{(185,1),(188,1),(221,1)}
       207:{2,4,6}:{(186,1),(189,1),(218,1),(221,1)}
       208:{4,5,7}:{(187,1),(188,1),(222,1)}
       209:{3,5,6}:{(188,1),(189,1),(190,1),(221,1),(222,1)}
       210:{1,4,6,7}:{(191,1),(192,1),(195,1),(223,1),(224,1)}
       211:{1,4,5,7}:{(192,1),(193,1),(196,1),(201,1),(223,1),(224,1)}
       212:{4,6,7}:{(194,1),(225,1),(228,1)}
       213:{3,5,7}:{(195,1),(197,1),(223,1),(225,1),(226,1)}
       214:{3,4,6}:{(196,1),(198,1),(204,1),(224,1),(226,1),(228,1)}
       215:{2,5,6}:{(197,1),(198,1),(226,1)}
       216:{1,2,5,7}:{(199,1),(200,1),(201,1),(202,1),(227,1)}
       217:{1,3,6}:{(201,1),(204,1),(224,1),(227,1)}
       218:{2,3,6}:{(202,1),(204,1),(207,1),(227,1)}
       219:{4,5,7}:{(203,1),(228,1)}
       220:{3,5,6}:{(203,1),(204,1),(205,1),(228,1)}
       221:{2,5,6}:{(206,1),(207,1),(209,1)}
       222:{4,5,6}:{(208,1),(209,1),(228,1)}
       223:{1,5,7}:{(210,1),(213,1),(229,1)}
       224:{1,4,6}:{(211,1),(214,1),(217,1),(229,1)}
       225:{4,5,7}:{(212,1),(213,1),(230,1)}
       226:{3,5,6}:{(213,1),(214,1),(215,1),(229,1),(230,1)}
       227:{1,2,6}:{(216,1),(217,1),(218,1)}
       228:{4,6}:{(219,1),(220,1)}
       229:{1,5,6}:{(223,1),(224,1),(226,1)}
       230:{4,5,6}:{(225,1),(226,1),(228,1)}

1592 :   0:{1,2,3,6,7}:{(2,1),(3,1),(40,1),(77,1),(78,1),(79,1),(80,1),(104,1)}
         1:{1,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(37,1),(40,1),(46,1),(78,1),(95,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(7,1),(8,1),(24,1),(57,1),(65,1),(84,1),(93,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(25,1),(61,1),(62,1),(89,1),(90,1),(92,1)}
         4:{1,3,5,7}:{(1,1),(7,1),(9,1),(10,1),(25,1),(55,1),(63,1)}
         5:{2,3,4,6,7}:{(2,1),(11,1),(15,1),(33,1),(38,1),(40,1),(68,1),(79,1),(96,1),(104,1)}
         6:{1,2,3,5,6}:{(3,1),(12,1),(13,1),(36,1),(40,1),(74,1),(75,1),(76,1),(77,1),(80,1)}
         7:{1,2,5,7}:{(2,1),(4,1),(11,1),(13,1),(76,1),(81,1),(94,1)}
         8:{1,2,4,7}:{(3,1),(12,1),(15,1),(95,1),(96,1),(100,1)}
         9:{1,3,5,6}:{(4,1),(13,1),(17,1),(40,1),(45,1)}
        10:{1,4,5,7}:{(4,1),(17,1),(18,1),(71,1),(95,1)}
        11:{2,3,5,7}:{(5,1),(7,1),(19,1),(20,1),(25,1),(56,1),(82,1)}
        12:{1,2,4,6}:{(6,1),(8,1),(21,1),(22,1),(86,1),(87,1)}
        13:{1,2,5,6}:{(7,1),(9,1),(19,1),(24,1),(64,1),(83,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(10,1),(20,1),(21,1),(24,1),(25,1),(31,1),(51,1),(61,1),(88,1),(101,1)}
        15:{3,4,7}:{(8,1),(22,1),(25,1),(103,1)}
        16:{1,3,5,6,7}:{(9,1),(23,1),(29,1),(58,1),(63,1),(89,1)}
        17:{1,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(25,1),(30,1),(31,1),(52,1),(63,1),(85,1)}
        19:{2,3,5,6}:{(11,1),(13,1),(33,1),(40,1),(67,1)}
        20:{2,4,5,7}:{(11,1),(33,1),(34,1),(72,1),(96,1)}
        21:{1,2,4,5}:{(12,1),(36,1),(71,1),(72,1),(76,1)}
        22:{3,4,6}:{(12,1),(15,1),(36,1),(40,1)}
        23:{1,2,5,6,7}:{(13,1),(16,1),(32,1),(39,1),(81,1),(94,1),(99,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(17,1),(33,1),(40,1),(47,1),(69,1),(80,1)}
        25:{3,5,7}:{(14,1),(15,1),(36,1),(40,1),(98,1),(104,1)}
        26:{1,3,4,7}:{(15,1),(37,1),(41,1),(43,1),(95,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(38,1),(42,1),(43,1),(96,1),(104,1)}
        28:{1,4,5,6}:{(17,1),(44,1),(45,1)}
        29:{1,4,6,7}:{(16,1),(17,1),(44,1),(46,1),(95,1)}
        30:{3,4,6}:{(17,1),(18,1),(40,1),(45,1),(47,1)}
        31:{2,4,5,7}:{(18,1),(42,1),(47,1),(72,1),(81,1),(96,1)}
        32:{2,3,5,6,7}:{(19,1),(23,1),(49,1),(58,1),(82,1),(90,1)}
        33:{2,4,6}:{(19,1),(20,1),(50,1)}
        34:{3,4,5,7}:{(20,1),(25,1),(50,1),(51,1),(52,1),(82,1),(85,1)}
        35:{1,2,4,5,6}:{(21,1),(24,1),(28,1),(48,1),(53,1),(54,1),(64,1),(83,1),(86,1),(87,1),(91,1)}
        36:{3,5}:{(21,1),(22,1)}
        37:{1,3,4,6}:{(22,1),(26,1),(55,1),(57,1),(59,1),(86,1),(102,1),(103,1)}
        38:{2,3,4,6}:{(22,1),(27,1),(56,1),(57,1),(60,1),(87,1),(102,1),(103,1)}
        39:{1,2,4,6,7}:{(23,1),(24,1),(29,1),(49,1),(53,1),(58,1),(65,1),(84,1),(93,1),(101,1)}
        40:{3,6}:{(24,1),(25,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(51,1),(55,1),(59,1),(61,1)}
        42:{2,3,5,7}:{(25,1),(27,1),(31,1),(56,1),(60,1),(61,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(57,1),(61,1),(62,1)}
        44:{1,4,5,7}:{(28,1),(29,1),(63,1)}
        45:{3,5,6}:{(28,1),(30,1),(63,1),(64,1)}
        46:{3,4,6,7}:{(29,1),(30,1),(58,1),(63,1),(65,1),(85,1)}
        47:{2,4,6}:{(30,1),(31,1),(60,1),(64,1)}
        48:{2,4,5,6}:{(33,1),(66,1),(67,1)}
        49:{2,4,6,7}:{(32,1),(33,1),(66,1),(68,1),(96,1)}
        50:{3,4,6}:{(33,1),(34,1),(40,1),(67,1),(69,1)}
        51:{1,4,5,7}:{(34,1),(41,1),(69,1),(71,1),(94,1),(95,1)}
        52:{3,4,5}:{(36,1),(70,1),(71,1),(72,1),(98,1)}
        53:{1,2,4,5,7}:{(35,1),(39,1),(44,1),(66,1),(73,1),(81,1),(94,1),(95,1),(96,1),(99,1)}
        54:{3,5,6}:{(35,1),(36,1),(40,1),(70,1),(73,1)}
        55:{1,3,5}:{(36,1),(37,1),(71,1),(76,1),(98,1)}
        56:{2,3,5}:{(36,1),(38,1),(72,1),(76,1),(98,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(43,1),(76,1),(77,1),(80,1),(100,1)}
        58:{3,6,7}:{(39,1),(40,1),(73,1),(104,1)}
        59:{1,3,6}:{(40,1),(41,1),(69,1),(80,1)}
        60:{2,3,6}:{(40,1),(42,1),(47,1),(80,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(43,1),(76,1),(80,1)}
        62:{1,2,3,7}:{(43,1),(77,1),(104,1)}
        63:{3,5,7}:{(44,1),(45,1),(46,1),(81,1)}
        64:{2,5,6}:{(45,1),(47,1),(81,1)}
        65:{2,4,6,7}:{(46,1),(47,1),(79,1),(81,1),(96,1)}
        66:{2,4,5,7}:{(48,1),(49,1),(82,1)}
        67:{3,5,6}:{(48,1),(50,1),(82,1),(83,1)}
        68:{3,4,6,7}:{(49,1),(50,1),(58,1),(82,1),(84,1),(85,1)}
        69:{1,4,6}:{(50,1),(51,1),(59,1),(83,1)}
        70:{3,4,6}:{(52,1),(54,1),(85,1),(86,1),(87,1),(102,1)}
        71:{1,4,5}:{(52,1),(55,1),(86,1)}
        72:{2,4,5}:{(52,1),(56,1),(87,1)}
        73:{3,5,7}:{(53,1),(54,1),(58,1),(85,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(59,1),(83,1),(86,1),(89,1),(91,1),(102,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(60,1),(64,1),(87,1),(90,1),(91,1),(102,1)}
        76:{1,2,5}:{(55,1),(56,1),(57,1)}
        77:{1,2,3,6}:{(57,1),(62,1),(92,1),(102,1)}
        78:{1,3,6,7}:{(58,1),(59,1),(84,1),(89,1),(93,1)}
        79:{2,3,6,7}:{(58,1),(60,1),(65,1),(90,1),(93,1)}
        80:{1,2,6}:{(59,1),(60,1),(61,1)}
        81:{2,5,7}:{(63,1),(64,1),(65,1)}
        82:{3,5,7}:{(66,1),(67,1),(68,1),(94,1)}
        83:{1,5,6}:{(67,1),(69,1),(94,1)}
        84:{1,4,6,7}:{(68,1),(69,1),(78,1),(94,1),(95,1)}
        85:{3,4,7}:{(70,1),(73,1),(95,1),(96,1),(104,1)}
        86:{1,4,6}:{(70,1),(71,1),(74,1),(95,1)}
        87:{2,4,6}:{(70,1),(72,1),(75,1),(96,1)}
        88:{1,2,4,5}:{(71,1),(72,1),(76,1),(97,1),(98,1),(100,1)}
        89:{1,3,5,7}:{(73,1),(74,1),(78,1),(94,1),(95,1),(99,1),(104,1)}
        90:{2,3,5,7}:{(73,1),(75,1),(79,1),(81,1),(96,1),(99,1),(104,1)}
        91:{1,2,5,6}:{(74,1),(75,1),(76,1),(80,1),(97,1),(99,1)}
        92:{1,2,3,5}:{(76,1),(77,1),(98,1),(100,1)}
        93:{1,2,6,7}:{(78,1),(79,1),(80,1),(99,1)}
        94:{1,5,7}:{(82,1),(83,1),(84,1)}
        95:{1,4,7}:{(85,1),(86,1),(89,1)}
        96:{2,4,7}:{(85,1),(87,1),(90,1)}
        97:{1,2,4,6}:{(86,1),(87,1),(88,1),(91,1),(101,1),(102,1)}
        98:{3,5}:{(88,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(89,1),(90,1),(91,1),(93,1),(101,1)}
       100:{1,2,4}:{(92,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1593 :   0:{1,3,4,6,7}:{(1,1),(2,1),(9,1),(27,1),(29,1),(31,1),(55,1),(58,1),(78,1),(80,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(40,1),(73,1),(94,1),(98,1)}
         2:{1,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(74,1),(93,1)}
         3:{1,3,5,6}:{(2,1),(8,1),(9,1),(24,1),(29,1)}
         4:{2,3,6,7}:{(1,1),(10,1),(29,1),(109,1),(113,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(108,1)}
         6:{1,4,5,7}:{(2,1),(9,1),(12,1),(80,1),(83,1)}
         7:{1,3,5,6,7}:{(3,1),(14,1),(15,1),(35,1),(39,1),(63,1),(125,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(37,1),(74,1)}
         9:{1,4,6}:{(3,1),(6,1),(18,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(121,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(45,1),(47,1),(74,1),(98,1),(99,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(65,1)}
        13:{1,4,5,6}:{(9,1),(22,1),(24,1)}
        14:{1,2,5,6,7}:{(7,1),(8,1),(25,1),(26,1),(49,1),(82,1),(87,1),(115,1)}
        15:{1,4,6,7}:{(7,1),(9,1),(22,1),(27,1),(80,1),(132,1)}
        16:{2,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(58,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(24,1),(29,1),(30,1)}
        19:{2,4,7}:{(10,1),(28,1),(31,1),(129,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(113,1),(114,1)}
        21:{2,4,5,7}:{(12,1),(30,1),(33,1),(49,1),(81,1),(84,1)}
        22:{1,4,5,7}:{(13,1),(15,1),(35,1),(136,1)}
        23:{1,2,4,5,6}:{(13,1),(17,1),(34,1),(36,1),(37,1),(41,1),(66,1),(67,1),(68,1),(69,1),(74,1),(99,1),(101,1),(122,1),(136,1),(139,1)}
        24:{3,5,6}:{(13,1),(18,1),(35,1),(37,1)}
        25:{2,3,5,6,7}:{(14,1),(16,1),(38,1),(39,1),(64,1),(70,1),(102,1)}
        26:{1,2,4,6,7}:{(14,1),(15,1),(17,1),(34,1),(38,1),(39,1),(40,1),(71,1),(73,1),(98,1),(122,1)}
        27:{3,4,6,7}:{(15,1),(18,1),(35,1),(39,1),(40,1),(62,1),(135,1)}
        28:{2,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{2,4,6}:{(18,1),(21,1),(37,1),(44,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(45,1),(124,1)}
        32:{1,3,5,7}:{(20,1),(43,1),(45,1),(47,1),(74,1),(77,1),(105,1)}
        33:{2,3,5,7}:{(20,1),(21,1),(44,1),(46,1),(47,1),(75,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(26,1),(48,1),(49,1),(53,1),(80,1),(81,1),(82,1),(87,1)}
        35:{3,5,7}:{(22,1),(24,1),(27,1),(49,1),(138,1)}
        36:{3,5,6}:{(23,1),(29,1),(48,1),(50,1),(57,1),(114,1),(130,1),(138,1)}
        37:{2,5,6}:{(24,1),(30,1),(49,1)}
        38:{2,4,6,7}:{(25,1),(28,1),(53,1),(54,1),(81,1),(111,1)}
        39:{3,6,7}:{(26,1),(29,1),(48,1),(113,1),(130,1)}
        40:{2,4,6,7}:{(27,1),(30,1),(49,1),(56,1),(81,1),(137,1)}
        41:{2,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(58,1)}
        43:{1,3,6}:{(29,1),(32,1),(58,1),(60,1)}
        44:{2,3,6}:{(29,1),(30,1),(33,1),(60,1)}
        45:{1,4,7}:{(31,1),(32,1),(58,1),(117,1)}
        46:{2,3,4,7}:{(31,1),(33,1),(59,1),(61,1),(81,1),(113,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(36,1),(39,1),(62,1)}
        49:{2,5,7}:{(35,1),(37,1),(40,1),(139,1)}
        50:{3,4,6}:{(36,1),(62,1),(65,1),(66,1),(67,1),(100,1),(124,1)}
        51:{1,3,5,6}:{(36,1),(43,1),(63,1),(66,1),(68,1),(74,1),(93,1),(100,1),(101,1),(105,1),(118,1)}
        52:{2,3,5,6}:{(36,1),(37,1),(44,1),(64,1),(67,1),(68,1),(75,1),(100,1),(121,1),(133,1),(139,1)}
        53:{2,4,5,7}:{(38,1),(41,1),(69,1),(70,1)}
        54:{3,4,6,7}:{(38,1),(39,1),(42,1),(62,1),(70,1),(71,1),(95,1)}
        55:{1,3,6,7}:{(39,1),(43,1),(63,1),(71,1),(73,1),(118,1)}
        56:{2,3,6,7}:{(39,1),(40,1),(44,1),(64,1),(73,1),(133,1)}
        57:{3,5}:{(41,1),(42,1),(74,1)}
        58:{1,4,6}:{(42,1),(43,1),(45,1),(74,1)}
        59:{2,3,4,6}:{(42,1),(44,1),(46,1),(67,1),(75,1),(76,1),(100,1),(124,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(50,1),(80,1),(81,1),(113,1)}
        63:{1,3,5,7}:{(48,1),(51,1),(55,1),(80,1),(82,1),(87,1),(113,1)}
        64:{2,3,5,7}:{(48,1),(49,1),(52,1),(56,1),(81,1),(82,1),(113,1)}
        65:{3,4,5}:{(50,1),(57,1),(83,1),(84,1),(114,1),(138,1)}
        66:{1,4,6}:{(50,1),(51,1),(80,1),(83,1),(117,1)}
        67:{2,4,6}:{(50,1),(52,1),(81,1),(84,1),(129,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(60,1),(82,1),(85,1),(90,1),(108,1),(127,1)}
        69:{2,4,5,6}:{(53,1),(86,1),(111,1)}
        70:{3,5,7}:{(53,1),(54,1),(57,1),(86,1),(87,1)}
        71:{1,4,6,7}:{(54,1),(55,1),(58,1),(80,1),(87,1),(110,1)}
        72:{2,3,4,6,7}:{(54,1),(56,1),(59,1),(81,1),(88,1),(89,1),(111,1),(113,1),(130,1),(131,1),(137,1)}
        73:{1,2,6,7}:{(55,1),(56,1),(60,1),(82,1),(127,1)}
        74:{1,5}:{(57,1),(58,1)}
        75:{2,3,5}:{(57,1),(59,1),(84,1),(90,1),(114,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{1,3,7}:{(61,1),(91,1),(113,1)}
        78:{1,3,4,6}:{(66,1),(92,1),(93,1),(94,1),(100,1),(118,1),(124,1),(135,1)}
        79:{3,4,5,7}:{(62,1),(65,1),(70,1),(95,1),(96,1),(97,1),(123,1)}
        80:{1,4,7}:{(62,1),(63,1),(66,1)}
        81:{2,4,7}:{(62,1),(64,1),(67,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(68,1),(73,1),(98,1)}
        83:{1,4,5}:{(65,1),(66,1),(74,1),(93,1)}
        84:{2,4,5}:{(65,1),(67,1),(75,1),(139,1)}
        85:{1,2,4,6}:{(66,1),(67,1),(68,1),(98,1),(99,1),(100,1)}
        86:{3,5,6}:{(69,1),(70,1),(95,1),(101,1)}
        87:{1,5,7}:{(70,1),(71,1),(74,1),(101,1)}
        88:{2,3,5,7}:{(70,1),(72,1),(75,1),(97,1),(102,1),(103,1),(123,1),(139,1)}
        89:{1,2,4,6,7}:{(71,1),(72,1),(73,1),(76,1),(98,1),(103,1),(104,1),(122,1),(126,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{1,3,6}:{(76,1),(77,1),(100,1),(105,1)}
        92:{1,3,4,7}:{(78,1),(80,1),(106,1),(107,1),(113,1),(131,1)}
        93:{1,3,5}:{(78,1),(83,1),(108,1),(114,1),(138,1)}
        94:{1,2,4,6}:{(78,1),(107,1),(108,1),(109,1),(127,1),(129,1),(137,1)}
        95:{3,4,6}:{(79,1),(86,1),(110,1),(111,1),(130,1)}
        96:{1,4,5,7}:{(79,1),(80,1),(83,1),(87,1),(106,1),(110,1)}
        97:{2,4,5,7}:{(79,1),(81,1),(84,1),(88,1),(111,1)}
        98:{1,2,4,7}:{(80,1),(81,1),(82,1),(85,1),(113,1)}
        99:{1,2,4,5}:{(83,1),(84,1),(85,1),(90,1),(108,1),(114,1),(117,1),(129,1)}
       100:{3,6}:{(85,1),(113,1),(114,1)}
       101:{1,5,6}:{(86,1),(87,1),(110,1)}
       102:{2,3,5,6}:{(86,1),(88,1),(111,1),(115,1),(130,1)}
       103:{1,2,5,7}:{(87,1),(88,1),(89,1),(90,1),(115,1),(116,1)}
       104:{1,3,6,7}:{(89,1),(91,1),(113,1),(116,1),(130,1)}
       105:{1,3,5}:{(90,1),(91,1),(114,1),(117,1)}
       106:{1,3,5,7}:{(92,1),(93,1),(96,1),(118,1),(119,1),(123,1)}
       107:{1,2,4,7}:{(92,1),(94,1),(119,1),(120,1),(134,1)}
       108:{1,2,5}:{(93,1),(94,1),(121,1),(139,1)}
       109:{2,3,6}:{(94,1),(100,1),(120,1),(121,1)}
       110:{1,4,6}:{(95,1),(96,1),(101,1),(118,1)}
       111:{2,4,6}:{(95,1),(97,1),(102,1)}
       112:{1,2,4,5,7}:{(96,1),(97,1),(98,1),(99,1),(103,1),(119,1),(122,1),(123,1),(126,1),(134,1),(136,1),(139,1)}
       113:{3,7}:{(98,1),(100,1)}
       114:{3,5}:{(99,1),(100,1),(124,1)}
       115:{1,2,5,6}:{(101,1),(102,1),(103,1),(122,1),(125,1),(139,1)}
       116:{1,3,5,7}:{(103,1),(104,1),(105,1),(123,1),(125,1),(126,1)}
       117:{1,4}:{(105,1),(124,1)}
       118:{1,3,6}:{(106,1),(110,1),(127,1),(130,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(108,1),(127,1),(128,1)}
       120:{2,3,7}:{(107,1),(109,1),(113,1)}
       121:{2,3,5}:{(108,1),(109,1),(114,1),(129,1)}
       122:{1,2,4,6}:{(110,1),(111,1),(112,1),(115,1),(127,1),(130,1),(132,1),(137,1)}
       123:{3,5,7}:{(112,1),(113,1),(114,1),(130,1),(131,1),(138,1)}
       124:{3,4}:{(114,1),(117,1),(129,1)}
       125:{1,3,5,6}:{(115,1),(116,1),(130,1),(132,1),(138,1)}
       126:{1,4,7}:{(116,1),(117,1),(131,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{2,3,5,7}:{(119,1),(120,1),(121,1),(123,1),(133,1),(134,1),(139,1)}
       129:{2,4}:{(121,1),(124,1)}
       130:{3,6}:{(122,1),(123,1)}
       131:{3,4,7}:{(123,1),(124,1),(126,1),(134,1),(135,1)}
       132:{1,4,6}:{(125,1),(126,1),(135,1),(136,1)}
       133:{2,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{2,4,7}:{(128,1),(129,1),(131,1),(137,1)}
       135:{3,4,6}:{(130,1),(131,1),(132,1),(137,1),(138,1)}
       136:{1,4,5}:{(132,1),(138,1)}
       137:{2,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{2,5}:{(137,1),(138,1)}

1594 :   0:{1,2,3,6}:{(3,1),(5,1),(6,1),(81,1),(88,1)}
         1:{1,3,4,6}:{(6,1),(7,1),(8,1),(31,1),(38,1),(46,1),(86,1),(88,1)}
         2:{1,4,5,6}:{(9,1),(10,1),(38,1),(94,1),(96,1)}
         3:{1,2,3,5}:{(0,1),(11,1),(14,1),(21,1),(53,1),(58,1)}
         4:{3,4,5}:{(15,1),(16,1),(18,1),(58,1)}
         5:{1,2,3,7}:{(0,1),(20,1),(112,1),(120,1),(163,1)}
         6:{1,2,4,6}:{(0,1),(1,1),(14,1),(19,1),(20,1),(21,1),(71,1)}
         7:{1,3,4,7}:{(1,1),(20,1),(23,1),(57,1),(65,1),(120,1),(165,1)}
         8:{1,3,5}:{(1,1),(16,1),(21,1),(58,1),(118,1)}
         9:{3,5,6}:{(2,1),(18,1),(22,1),(25,1)}
        10:{1,4,5,7}:{(2,1),(25,1),(26,1),(65,1),(125,1),(126,1)}
        11:{1,2,3}:{(28,1)}
        12:{2,3,4}:{(28,1),(30,1),(31,1)}
        13:{1,2,3,5,7}:{(3,1),(5,1),(27,1),(32,1),(33,1),(43,1),(78,1),(80,1),(87,1),(89,1)}
        14:{1,2,4}:{(3,1),(31,1)}
        15:{2,4,5}:{(4,1),(30,1),(36,1)}
        16:{1,4,5}:{(4,1),(8,1),(38,1),(147,1)}
        17:{3,4,5,7}:{(4,1),(35,1),(37,1),(39,1),(40,1),(87,1),(97,1),(141,1),(147,1),(194,1),(198,1)}
        18:{3,4,6}:{(4,1),(9,1),(36,1),(38,1),(40,1),(88,1)}
        19:{2,3,4,6}:{(6,1),(31,1),(41,1),(42,1),(86,1),(88,1),(99,1),(100,1)}
        20:{1,2,4,7}:{(5,1),(6,1),(7,1),(41,1),(43,1),(188,1)}
        21:{1,2,5}:{(6,1),(8,1),(42,1)}
        22:{2,5,6}:{(9,1),(36,1),(45,1)}
        23:{1,3,5,7}:{(7,1),(8,1),(37,1),(43,1),(46,1),(87,1),(190,1),(221,1)}
        24:{1,3,5,6}:{(8,1),(9,1),(38,1),(44,1),(46,1),(47,1),(88,1),(94,1),(148,1)}
        25:{3,5,7}:{(9,1),(10,1),(40,1),(45,1),(48,1)}
        26:{1,4,6,7}:{(10,1),(48,1),(49,1),(104,1)}
        27:{1,2,3,7}:{(11,1),(51,1),(52,1),(210,1),(227,1)}
        28:{1,2,4}:{(11,1),(12,1),(50,1),(53,1)}
        29:{2,3,4,7}:{(12,1),(52,1),(54,1),(55,1),(57,1),(171,1),(210,1)}
        30:{2,3,5}:{(12,1),(15,1),(53,1),(56,1),(58,1)}
        31:{3,4}:{(14,1),(58,1)}
        32:{1,2,3,6}:{(13,1),(59,1),(71,1),(111,1),(119,1)}
        33:{1,2,4,7}:{(13,1),(14,1),(57,1),(59,1),(109,1)}
        34:{1,2,4,5}:{(14,1),(15,1),(16,1),(21,1),(53,1),(58,1),(61,1),(68,1),(105,1)}
        35:{2,4,5,7}:{(15,1),(17,1),(55,1),(62,1),(63,1),(113,1),(124,1),(171,1)}
        36:{2,4,6}:{(15,1),(18,1),(22,1),(56,1),(63,1)}
        37:{1,4,5,7}:{(16,1),(17,1),(23,1),(64,1),(65,1),(125,1),(169,1),(211,1)}
        38:{1,4,6}:{(16,1),(18,1),(24,1),(65,1),(175,1)}
        39:{3,4,6}:{(17,1),(62,1),(64,1),(66,1),(119,1),(175,1)}
        40:{3,4,7}:{(18,1),(25,1),(63,1),(65,1),(120,1)}
        41:{2,3,4,7}:{(19,1),(20,1),(57,1),(69,1),(120,1),(129,1),(164,1)}
        42:{2,3,5}:{(19,1),(21,1),(58,1),(68,1),(118,1)}
        43:{1,2,5,7}:{(20,1),(21,1),(23,1),(69,1),(71,1),(207,1),(227,1)}
        44:{1,2,5,6}:{(21,1),(22,1),(24,1),(61,1),(70,1),(71,1),(72,1),(157,1)}
        45:{2,5,7}:{(22,1),(25,1),(63,1),(73,1)}
        46:{1,3,6}:{(23,1),(64,1),(71,1),(119,1)}
        47:{1,3,5,7}:{(24,1),(25,1),(65,1),(72,1),(74,1),(120,1),(125,1),(176,1)}
        48:{3,6,7}:{(25,1),(26,1),(73,1)}
        49:{1,5,6,7}:{(26,1),(75,1),(125,1),(181,1)}
        50:{1,3,4}:{(28,1),(31,1),(77,1)}
        51:{1,2,3,6}:{(27,1),(78,1),(79,1),(191,1),(219,1)}
        52:{1,2,4,7}:{(27,1),(28,1),(29,1),(76,1),(79,1),(80,1)}
        53:{1,2,5}:{(28,1),(30,1),(77,1),(81,1)}
        54:{2,3,4,6}:{(29,1),(79,1),(82,1),(83,1),(86,1),(137,1),(142,1),(191,1)}
        55:{2,3,5,7}:{(29,1),(30,1),(35,1),(80,1),(82,1),(83,1),(84,1),(87,1)}
        56:{2,3,6}:{(30,1),(36,1),(81,1),(84,1),(88,1)}
        57:{3,4,7}:{(31,1),(33,1),(86,1),(87,1),(137,1),(198,1)}
        58:{3,5}:{(31,1),(34,1),(88,1)}
        59:{1,2,4,6}:{(32,1),(33,1),(86,1),(89,1)}
        60:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(37,1),(43,1),(80,1),(87,1),(89,1),(90,1),(91,1),(98,1),(132,1),(138,1),(147,1),(150,1),(192,1),(198,1)}
        61:{1,2,4,6}:{(34,1),(36,1),(38,1),(44,1),(81,1),(88,1),(91,1),(99,1),(133,1)}
        62:{2,4,6}:{(35,1),(39,1),(83,1),(92,1)}
        63:{2,4,7}:{(36,1),(40,1),(45,1),(84,1)}
        64:{1,4,6}:{(37,1),(39,1),(46,1),(94,1)}
        65:{1,4,7}:{(38,1),(40,1),(47,1),(198,1)}
        66:{3,5,6}:{(39,1),(92,1),(94,1),(96,1),(97,1)}
        67:{3,4,6,7}:{(39,1),(40,1),(48,1),(93,1),(95,1),(97,1),(104,1),(149,1),(156,1),(194,1),(198,1)}
        68:{2,4,5}:{(42,1),(85,1),(99,1),(147,1)}
        69:{2,3,5,7}:{(41,1),(42,1),(43,1),(87,1),(98,1),(100,1),(189,1),(220,1)}
        70:{2,3,5,6}:{(42,1),(44,1),(88,1),(99,1),(100,1),(101,1),(144,1),(148,1),(154,1)}
        71:{1,2,6}:{(43,1),(46,1),(100,1)}
        72:{1,2,5,7}:{(44,1),(45,1),(47,1),(91,1),(101,1),(102,1),(182,1)}
        73:{2,6,7}:{(45,1),(48,1)}
        74:{1,3,6,7}:{(46,1),(47,1),(48,1),(95,1),(102,1),(149,1),(221,1)}
        75:{3,5,6,7}:{(48,1),(49,1),(97,1),(103,1),(104,1),(156,1)}
        76:{1,3,4,7}:{(50,1),(52,1),(57,1),(106,1),(107,1),(206,1),(210,1)}
        77:{1,3,5}:{(50,1),(53,1),(58,1),(105,1),(108,1)}
        78:{1,2,3,5}:{(51,1),(109,1),(110,1),(163,1),(166,1),(207,1)}
        79:{1,2,4,6}:{(51,1),(52,1),(54,1),(106,1),(109,1),(110,1),(111,1)}
        80:{1,2,5,7}:{(52,1),(53,1),(55,1),(107,1),(110,1),(111,1),(112,1)}
        81:{1,2,6}:{(53,1),(56,1),(108,1),(112,1)}
        82:{2,3,5}:{(54,1),(110,1),(113,1),(118,1),(166,1)}
        83:{2,3,6}:{(55,1),(62,1),(111,1),(119,1)}
        84:{2,3,7}:{(56,1),(63,1),(112,1),(120,1)}
        85:{3,4,5}:{(58,1),(68,1),(105,1),(117,1)}
        86:{3,4,6}:{(57,1),(59,1),(118,1),(119,1),(175,1)}
        87:{3,5,7}:{(57,1),(58,1),(60,1),(118,1),(119,1),(120,1),(166,1),(210,1)}
        88:{3,6}:{(58,1),(61,1),(120,1)}
        89:{1,2,5}:{(59,1),(118,1)}
        90:{1,2,4,6}:{(60,1),(62,1),(64,1),(71,1),(111,1),(119,1),(121,1),(128,1),(158,1),(175,1)}
        91:{1,2,4,7}:{(61,1),(63,1),(65,1),(72,1),(112,1),(120,1),(129,1),(159,1)}
        92:{2,5,6}:{(62,1),(66,1),(124,1)}
        93:{2,4,6,7}:{(62,1),(63,1),(67,1),(73,1),(115,1),(124,1),(171,1)}
        94:{1,5,6}:{(64,1),(66,1),(125,1)}
        95:{1,4,6,7}:{(64,1),(65,1),(67,1),(74,1),(125,1),(181,1),(211,1)}
        96:{4,5,6}:{(66,1),(126,1),(175,1)}
        97:{3,5,7}:{(66,1),(67,1),(124,1),(125,1),(126,1)}
        98:{2,4,5,7}:{(68,1),(69,1),(116,1),(128,1),(129,1),(180,1),(204,1),(226,1)}
        99:{2,4,6}:{(68,1),(70,1),(117,1),(129,1),(175,1)}
       100:{2,3,6}:{(69,1),(71,1),(119,1),(128,1)}
       101:{2,3,5,7}:{(70,1),(72,1),(120,1),(129,1),(130,1),(172,1),(176,1),(180,1)}
       102:{1,2,6,7}:{(71,1),(72,1),(73,1),(74,1),(130,1),(201,1),(227,1)}
       103:{2,5,6,7}:{(73,1),(75,1),(124,1),(131,1)}
       104:{4,6,7}:{(75,1),(126,1)}
       105:{1,4,5}:{(77,1),(85,1),(133,1)}
       106:{1,3,4,6}:{(76,1),(79,1),(86,1),(134,1),(135,1),(137,1),(186,1),(191,1)}
       107:{1,3,5,7}:{(76,1),(77,1),(80,1),(87,1),(132,1),(134,1),(135,1),(136,1)}
       108:{1,3,6}:{(77,1),(81,1),(88,1),(133,1),(136,1)}
       109:{1,2,4}:{(78,1),(137,1)}
       110:{1,2,5}:{(79,1),(82,1),(134,1)}
       111:{1,2,6}:{(80,1),(83,1),(135,1)}
       112:{1,2,7}:{(81,1),(84,1),(136,1)}
       113:{2,4,5}:{(82,1),(141,1),(142,1),(147,1)}
       114:{2,3,5,6}:{(82,1),(83,1),(92,1),(139,1),(142,1),(143,1),(148,1),(151,1),(191,1)}
       115:{2,3,6,7}:{(83,1),(84,1),(93,1),(140,1),(143,1),(149,1),(156,1)}
       116:{3,4,5,7}:{(85,1),(87,1),(98,1),(132,1),(145,1),(146,1),(147,1),(185,1),(197,1),(198,1),(218,1)}
       117:{3,4,6}:{(85,1),(88,1),(99,1),(133,1),(144,1),(146,1)}
       118:{3,5}:{(86,1),(89,1),(147,1)}
       119:{3,6}:{(87,1),(90,1)}
       120:{3,7}:{(88,1),(91,1)}
       121:{1,2,5,6}:{(89,1),(90,1),(92,1),(94,1),(148,1),(150,1),(154,1),(183,1)}
       122:{1,2,4,6,7}:{(90,1),(91,1),(93,1),(95,1),(102,1),(140,1),(149,1),(150,1),(155,1),(184,1),(192,1),(198,1)}
       123:{2,4,5,6}:{(92,1),(96,1),(142,1),(151,1),(152,1)}
       124:{2,5,7}:{(92,1),(93,1),(97,1)}
       125:{1,5,7}:{(94,1),(95,1),(97,1)}
       126:{4,5,7}:{(96,1),(97,1),(104,1),(198,1)}
       127:{2,4,5,6}:{(99,1),(144,1),(153,1),(154,1),(196,1)}
       128:{2,4,6}:{(98,1),(100,1),(145,1),(154,1)}
       129:{2,4,7}:{(99,1),(101,1),(146,1),(198,1)}
       130:{2,3,6,7}:{(100,1),(101,1),(102,1),(149,1),(155,1),(195,1),(220,1)}
       131:{2,4,6,7}:{(103,1),(104,1),(152,1),(156,1)}
       132:{1,4,5,7}:{(105,1),(107,1),(116,1),(158,1),(159,1),(160,1),(203,1),(206,1)}
       133:{1,4,6}:{(105,1),(108,1),(117,1),(157,1),(159,1)}
       134:{1,3,5}:{(106,1),(110,1),(118,1),(160,1),(166,1)}
       135:{1,3,6}:{(107,1),(111,1),(119,1),(158,1)}
       136:{1,3,7}:{(108,1),(112,1),(120,1),(159,1)}
       137:{3,4}:{(109,1),(166,1)}
       138:{1,2,4,5}:{(109,1),(110,1),(113,1),(160,1),(166,1),(167,1),(169,1),(204,1),(207,1)}
       139:{1,2,5,6}:{(110,1),(111,1),(114,1),(161,1),(167,1),(168,1),(177,1),(224,1)}
       140:{1,2,6,7}:{(111,1),(112,1),(115,1),(162,1),(168,1),(181,1),(230,1)}
       141:{3,4,5}:{(113,1),(166,1),(169,1),(170,1)}
       142:{2,4,6}:{(113,1),(114,1),(170,1),(171,1),(175,1)}
       143:{2,3,5,7}:{(114,1),(115,1),(124,1),(168,1),(171,1),(176,1),(178,1),(210,1)}
       144:{3,5,6}:{(117,1),(127,1),(157,1),(172,1)}
       145:{3,4,6}:{(116,1),(119,1),(128,1),(158,1),(173,1),(175,1)}
       146:{3,4,7}:{(117,1),(120,1),(129,1),(159,1),(172,1)}
       147:{4,5}:{(118,1),(175,1)}
       148:{3,5,6}:{(118,1),(119,1),(121,1),(175,1),(176,1)}
       149:{3,6,7}:{(119,1),(120,1),(122,1),(176,1),(210,1)}
       150:{1,2,5,7}:{(121,1),(122,1),(124,1),(125,1),(176,1),(180,1),(203,1)}
       151:{3,5,6}:{(123,1),(170,1),(177,1),(178,1)}
       152:{2,4,5,7}:{(123,1),(124,1),(126,1),(131,1),(171,1),(178,1)}
       153:{2,4,5,7}:{(127,1),(129,1),(172,1),(179,1),(180,1),(213,1)}
       154:{2,5,6}:{(128,1),(173,1),(180,1)}
       155:{2,4,6,7}:{(128,1),(129,1),(130,1),(174,1),(180,1),(226,1),(230,1)}
       156:{3,6,7}:{(131,1),(178,1),(181,1)}
       157:{1,5,6}:{(133,1),(144,1),(182,1)}
       158:{1,4,6}:{(132,1),(135,1),(145,1),(183,1)}
       159:{1,4,7}:{(133,1),(136,1),(146,1),(182,1)}
       160:{1,4,5}:{(134,1),(147,1),(185,1),(186,1)}
       161:{1,3,5,6}:{(134,1),(135,1),(139,1),(148,1),(183,1),(186,1),(187,1),(191,1),(215,1)}
       162:{1,3,6,7}:{(135,1),(136,1),(140,1),(149,1),(184,1),(187,1),(228,1)}
       163:{1,2,3}:{(188,1)}
       164:{2,3,4}:{(137,1),(188,1),(189,1)}
       165:{1,3,4}:{(137,1),(188,1),(190,1)}
       166:{3,5}:{(137,1),(138,1),(191,1)}
       167:{1,2,4,6}:{(138,1),(139,1),(142,1),(186,1),(191,1),(192,1),(193,1),(217,1),(219,1)}
       168:{1,2,5,7}:{(139,1),(140,1),(143,1),(187,1),(192,1),(199,1),(229,1)}
       169:{1,4,5}:{(141,1),(190,1),(193,1)}
       170:{3,4,6}:{(141,1),(142,1),(151,1),(191,1),(193,1),(194,1)}
       171:{2,4,7}:{(142,1),(143,1),(194,1),(198,1)}
       172:{3,5,7}:{(144,1),(146,1),(153,1),(182,1),(195,1)}
       173:{3,5,6}:{(145,1),(154,1),(183,1),(196,1),(197,1)}
       174:{3,4,6,7}:{(145,1),(146,1),(149,1),(155,1),(184,1),(195,1),(197,1),(198,1),(218,1),(222,1),(228,1)}
       175:{4,6}:{(147,1),(148,1),(198,1)}
       176:{3,5,7}:{(148,1),(149,1),(150,1),(198,1)}
       177:{1,5,6}:{(151,1),(193,1),(199,1)}
       178:{3,5,7}:{(151,1),(152,1),(156,1),(194,1),(199,1)}
       179:{2,4,6,7}:{(153,1),(195,1),(200,1),(222,1)}
       180:{2,5,7}:{(154,1),(155,1),(197,1)}
       181:{1,6,7}:{(156,1),(199,1)}
       182:{1,5,7}:{(157,1),(159,1),(172,1),(201,1)}
       183:{1,5,6}:{(158,1),(173,1),(203,1)}
       184:{1,4,6,7}:{(158,1),(159,1),(162,1),(174,1),(201,1),(203,1),(206,1)}
       185:{3,4,5}:{(160,1),(166,1),(204,1),(205,1)}
       186:{1,4,6}:{(160,1),(161,1),(175,1),(205,1),(206,1)}
       187:{1,3,5,7}:{(161,1),(162,1),(168,1),(176,1),(203,1),(206,1),(210,1),(225,1)}
       188:{1,2,4}:{(163,1),(164,1),(165,1),(207,1)}
       189:{2,3,5}:{(164,1),(166,1),(204,1),(207,1),(208,1)}
       190:{1,3,5}:{(165,1),(166,1),(169,1),(207,1),(209,1)}
       191:{3,6}:{(166,1),(167,1),(210,1)}
       192:{1,2,4,7}:{(167,1),(168,1),(171,1),(206,1),(210,1),(211,1),(226,1),(227,1)}
       193:{1,4,6}:{(169,1),(170,1),(177,1),(209,1),(211,1)}
       194:{3,4,7}:{(170,1),(171,1),(178,1),(210,1),(211,1)}
       195:{3,6,7}:{(172,1),(179,1),(201,1)}
       196:{4,5,6}:{(173,1),(175,1),(213,1)}
       197:{3,5,7}:{(173,1),(174,1),(180,1),(203,1),(213,1)}
       198:{4,7}:{(175,1),(176,1)}
       199:{1,5,7}:{(177,1),(178,1),(181,1),(211,1)}
       200:{2,5,6,7}:{(179,1),(180,1),(212,1),(230,1)}
       201:{1,6,7}:{(182,1),(195,1)}
       202:{1,4,5,6}:{(183,1),(186,1),(196,1),(215,1),(216,1)}
       203:{1,5,7}:{(183,1),(184,1),(197,1)}
       204:{2,4,5}:{(185,1),(189,1),(217,1)}
       205:{3,4,6}:{(185,1),(186,1),(191,1),(215,1),(217,1),(218,1)}
       206:{1,4,7}:{(186,1),(187,1),(198,1),(218,1)}
       207:{1,2,5}:{(188,1),(189,1),(190,1),(219,1)}
       208:{2,3,6}:{(189,1),(191,1),(217,1),(219,1),(220,1)}
       209:{1,3,6}:{(190,1),(191,1),(193,1),(219,1),(221,1)}
       210:{3,7}:{(191,1),(192,1)}
       211:{1,4,7}:{(193,1),(194,1),(199,1),(221,1)}
       212:{3,5,6,7}:{(195,1),(197,1),(200,1),(214,1),(222,1),(228,1)}
       213:{4,5,7}:{(196,1),(197,1),(198,1),(222,1)}
       214:{1,5,6,7}:{(201,1),(203,1),(212,1),(223,1)}
       215:{3,5,6}:{(202,1),(205,1),(224,1),(225,1)}
       216:{1,4,5,7}:{(202,1),(203,1),(206,1),(213,1),(223,1),(225,1)}
       217:{2,4,6}:{(204,1),(205,1),(208,1),(224,1),(226,1)}
       218:{3,4,7}:{(205,1),(206,1),(210,1),(225,1),(226,1)}
       219:{1,2,6}:{(207,1),(208,1),(209,1),(227,1)}
       220:{2,3,7}:{(208,1),(210,1),(226,1),(227,1)}
       221:{1,3,7}:{(209,1),(210,1),(211,1),(227,1)}
       222:{4,6,7}:{(212,1),(213,1)}
       223:{1,4,6,7}:{(214,1),(216,1),(222,1),(228,1)}
       224:{2,5,6}:{(215,1),(217,1),(229,1)}
       225:{3,5,7}:{(215,1),(216,1),(218,1),(228,1),(229,1)}
       226:{2,4,7}:{(217,1),(218,1),(220,1),(229,1)}
       227:{1,2,7}:{(219,1),(220,1),(221,1)}
       228:{3,6,7}:{(223,1),(225,1),(230,1)}
       229:{2,5,7}:{(224,1),(225,1),(226,1),(230,1)}
       230:{2,6,7}:{(228,1),(229,1)}

1595 :   0:{1,4,5,6}:{(5,1),(6,1),(27,1),(33,1),(82,1)}
         1:{1,3,4,6}:{(4,1),(7,1),(8,1),(33,1),(37,1),(89,1),(90,1),(138,1),(142,1)}
         2:{3,4,5}:{(12,1),(13,1),(14,1),(61,1)}
         3:{1,5,6,7}:{(10,1),(15,1),(105,1),(112,1)}
         4:{1,3,4,7}:{(1,1),(16,1),(17,1),(58,1),(96,1),(117,1),(118,1),(160,1)}
         5:{1,4,5,7}:{(0,1),(15,1),(18,1),(52,1),(58,1),(112,1)}
         6:{3,5,6}:{(0,1),(12,1),(18,1),(20,1)}
         7:{1,3,5}:{(1,1),(13,1),(21,1),(61,1),(161,1),(165,1)}
         8:{1,2,4,6}:{(1,1),(17,1),(21,1),(22,1),(64,1),(68,1),(121,1)}
         9:{2,3,4}:{(25,1),(26,1),(90,1)}
        10:{3,5,6,7}:{(3,1),(23,1),(28,1),(36,1),(74,1),(81,1)}
        11:{3,4,5,7}:{(2,1),(29,1),(30,1),(31,1),(32,1),(69,1),(81,1),(87,1),(126,1),(180,1),(181,1)}
        12:{3,4,6}:{(2,1),(6,1),(32,1),(33,1),(34,1),(89,1)}
        13:{1,4,5}:{(2,1),(7,1),(33,1),(181,1)}
        14:{2,4,5}:{(2,1),(25,1),(34,1)}
        15:{1,4,6,7}:{(3,1),(5,1),(28,1),(36,1)}
        16:{1,3,5,7}:{(4,1),(7,1),(30,1),(37,1),(38,1),(87,1),(124,1),(169,1),(179,1)}
        17:{1,2,4,7}:{(4,1),(8,1),(38,1),(39,1),(93,1),(125,1)}
        18:{3,5,7}:{(5,1),(6,1),(32,1),(36,1),(41,1)}
        19:{1,3,5,6}:{(6,1),(7,1),(33,1),(37,1),(40,1),(42,1),(82,1),(89,1),(140,1)}
        20:{2,5,6}:{(6,1),(34,1),(41,1)}
        21:{1,2,5}:{(7,1),(8,1),(43,1),(146,1)}
        22:{2,3,6}:{(8,1),(39,1),(43,1),(89,1)}
        23:{2,5,6,7}:{(10,1),(46,1),(63,1),(113,1)}
        24:{2,3,4,7}:{(9,1),(45,1),(47,1),(48,1),(117,1),(152,1),(188,1),(203,1)}
        25:{2,3,5}:{(9,1),(14,1),(49,1),(50,1),(61,1)}
        26:{1,2,4}:{(9,1),(50,1),(51,1),(111,1)}
        27:{4,5,6}:{(52,1),(53,1),(163,1)}
        28:{4,6,7}:{(10,1),(52,1)}
        29:{3,4,6}:{(11,1),(53,1),(55,1),(56,1),(116,1),(163,1)}
        30:{1,4,5,7}:{(11,1),(13,1),(16,1),(55,1),(58,1),(98,1),(112,1),(151,1)}
        31:{2,4,5,7}:{(11,1),(14,1),(47,1),(56,1),(59,1),(99,1),(113,1),(152,1)}
        32:{3,4,7}:{(12,1),(18,1),(58,1),(59,1),(118,1)}
        33:{1,4,6}:{(12,1),(13,1),(19,1),(58,1),(163,1)}
        34:{2,4,6}:{(12,1),(14,1),(20,1),(49,1),(59,1)}
        35:{1,2,4,5}:{(13,1),(14,1),(21,1),(50,1),(60,1),(61,1),(68,1),(111,1),(123,1),(161,1)}
        36:{3,6,7}:{(15,1),(18,1),(63,1)}
        37:{1,3,6}:{(16,1),(55,1),(64,1),(116,1),(193,1)}
        38:{1,2,5,7}:{(16,1),(17,1),(21,1),(64,1),(65,1),(149,1),(185,1)}
        39:{2,3,7}:{(17,1),(22,1),(118,1),(150,1)}
        40:{1,3,5,7}:{(18,1),(19,1),(58,1),(62,1),(66,1),(112,1),(118,1),(162,1)}
        41:{2,5,7}:{(18,1),(20,1),(59,1),(63,1)}
        42:{1,2,5,6}:{(19,1),(20,1),(21,1),(60,1),(64,1),(66,1),(67,1),(161,1),(193,1)}
        43:{2,3,5}:{(21,1),(22,1),(61,1),(68,1)}
        44:{2,4,5,6}:{(27,1),(70,1),(71,1),(83,1),(128,1)}
        45:{2,3,4,6}:{(24,1),(72,1),(73,1),(75,1),(128,1),(142,1),(173,1),(174,1),(197,1)}
        46:{2,4,6,7}:{(23,1),(28,1),(70,1),(74,1)}
        47:{2,3,5,7}:{(24,1),(25,1),(31,1),(72,1),(75,1),(76,1),(78,1),(87,1),(207,1)}
        48:{1,2,4,7}:{(24,1),(26,1),(73,1),(76,1),(77,1),(136,1)}
        49:{2,3,6}:{(25,1),(34,1),(78,1),(79,1),(89,1)}
        50:{1,2,5}:{(25,1),(26,1),(79,1),(80,1)}
        51:{1,3}:{(26,1)}
        52:{4,5,7}:{(27,1),(28,1),(81,1),(180,1)}
        53:{3,5,6}:{(27,1),(29,1),(81,1),(82,1),(83,1)}
        54:{3,4,6,7}:{(28,1),(29,1),(32,1),(36,1),(74,1),(81,1),(84,1),(85,1),(126,1),(141,1),(180,1)}
        55:{1,4,6}:{(29,1),(30,1),(37,1),(82,1)}
        56:{2,4,6}:{(29,1),(31,1),(75,1),(83,1)}
        57:{1,2,4,5,7}:{(30,1),(31,1),(35,1),(38,1),(76,1),(86,1),(87,1),(88,1),(93,1),(129,1),(136,1),(139,1),(146,1),(147,1),(172,1),(178,1),(179,1),(180,1),(181,1),(200,1),(207,1)}
        58:{1,4,7}:{(32,1),(33,1),(40,1),(180,1)}
        59:{2,4,7}:{(32,1),(34,1),(41,1),(78,1)}
        60:{1,2,4,6}:{(33,1),(34,1),(35,1),(42,1),(79,1),(88,1),(89,1),(95,1),(138,1)}
        61:{3,5}:{(35,1),(89,1),(90,1)}
        62:{1,3,6,7}:{(36,1),(37,1),(40,1),(84,1),(91,1),(141,1),(169,1)}
        63:{2,6,7}:{(36,1),(41,1)}
        64:{1,2,6}:{(37,1),(38,1),(92,1)}
        65:{2,3,5,7}:{(38,1),(39,1),(43,1),(87,1),(92,1),(93,1),(146,1),(171,1),(196,1),(207,1)}
        66:{1,2,5,7}:{(40,1),(41,1),(42,1),(88,1),(91,1),(94,1),(179,1)}
        67:{2,3,5,6}:{(42,1),(43,1),(89,1),(92,1),(94,1),(95,1),(140,1),(144,1),(146,1),(183,1),(184,1)}
        68:{2,4}:{(43,1),(90,1)}
        69:{3,4,5}:{(97,1),(98,1),(99,1),(154,1)}
        70:{2,4,5,7}:{(44,1),(46,1),(52,1),(100,1),(113,1),(152,1)}
        71:{3,5,6}:{(44,1),(97,1),(100,1),(101,1)}
        72:{2,3,5}:{(45,1),(99,1),(103,1),(154,1),(165,1),(204,1)}
        73:{1,2,4,6}:{(45,1),(48,1),(103,1),(104,1),(107,1),(157,1),(159,1)}
        74:{3,6,7}:{(46,1),(100,1),(105,1)}
        75:{2,3,6}:{(47,1),(56,1),(107,1),(116,1),(209,1)}
        76:{1,2,5,7}:{(47,1),(48,1),(50,1),(103,1),(107,1),(108,1),(109,1)}
        77:{1,3,7}:{(48,1),(51,1),(104,1),(188,1)}
        78:{2,3,7}:{(49,1),(59,1),(109,1),(118,1)}
        79:{1,2,6}:{(49,1),(50,1),(109,1),(110,1)}
        80:{1,3,5}:{(50,1),(51,1),(61,1),(110,1),(111,1),(161,1)}
        81:{3,5,7}:{(52,1),(53,1),(54,1),(112,1),(113,1)}
        82:{1,5,6}:{(53,1),(55,1),(112,1)}
        83:{2,5,6}:{(53,1),(56,1),(113,1)}
        84:{1,4,6,7}:{(54,1),(55,1),(58,1),(62,1),(105,1),(112,1),(151,1)}
        85:{2,4,6,7}:{(54,1),(56,1),(59,1),(63,1),(106,1),(113,1),(152,1)}
        86:{1,2,4,6}:{(55,1),(56,1),(57,1),(64,1),(107,1),(114,1),(116,1),(121,1),(159,1),(163,1),(168,1),(193,1),(206,1),(209,1)}
        87:{3,5,7}:{(57,1),(61,1),(116,1),(117,1),(118,1),(154,1),(165,1),(188,1)}
        88:{1,2,4,7}:{(58,1),(59,1),(60,1),(66,1),(109,1),(118,1),(122,1),(160,1)}
        89:{3,6}:{(60,1),(61,1),(118,1)}
        90:{3,4}:{(61,1),(68,1),(111,1)}
        91:{1,2,6,7}:{(62,1),(63,1),(64,1),(66,1),(120,1),(185,1),(193,1)}
        92:{2,3,6}:{(64,1),(65,1),(116,1),(121,1),(209,1)}
        93:{2,4,7}:{(65,1),(68,1),(117,1),(121,1),(187,1)}
        94:{2,3,5,7}:{(66,1),(67,1),(118,1),(120,1),(122,1),(162,1),(166,1),(167,1)}
        95:{2,4,6}:{(67,1),(68,1),(119,1),(122,1),(123,1),(163,1)}
        96:{1,3,4}:{(124,1),(125,1),(174,1)}
        97:{3,4,6}:{(69,1),(71,1),(126,1),(127,1),(128,1),(173,1)}
        98:{1,4,5}:{(69,1),(124,1),(127,1)}
        99:{2,4,5}:{(69,1),(72,1),(128,1),(181,1)}
       100:{3,5,7}:{(70,1),(71,1),(74,1),(126,1),(130,1)}
       101:{1,5,6}:{(71,1),(127,1),(130,1)}
       102:{2,3,5,6}:{(71,1),(72,1),(75,1),(83,1),(128,1),(131,1),(132,1),(140,1),(173,1)}
       103:{1,2,5}:{(72,1),(73,1),(133,1),(178,1)}
       104:{1,3,6}:{(73,1),(77,1),(133,1),(173,1)}
       105:{1,6,7}:{(74,1),(130,1)}
       106:{2,3,6,7}:{(74,1),(75,1),(78,1),(85,1),(131,1),(134,1),(141,1)}
       107:{1,2,6}:{(75,1),(76,1),(135,1)}
       108:{1,3,5,7}:{(76,1),(77,1),(80,1),(87,1),(133,1),(135,1),(136,1),(137,1),(178,1),(179,1)}
       109:{1,2,7}:{(78,1),(79,1),(137,1)}
       110:{1,3,6}:{(79,1),(80,1),(89,1),(137,1),(138,1)}
       111:{1,4}:{(80,1),(90,1)}
       112:{1,5,7}:{(81,1),(82,1),(84,1)}
       113:{2,5,7}:{(81,1),(83,1),(85,1)}
       114:{1,2,5,6}:{(82,1),(83,1),(86,1),(139,1),(140,1),(146,1),(178,1),(184,1),(201,1)}
       115:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(134,1),(139,1),(141,1),(145,1),(172,1),(177,1),(180,1)}
       116:{3,6}:{(86,1),(87,1)}
       117:{3,4,7}:{(87,1),(90,1),(93,1),(136,1),(142,1),(174,1),(180,1)}
       118:{3,7}:{(88,1),(89,1)}
       119:{3,4,6}:{(89,1),(90,1),(95,1),(138,1),(143,1),(144,1),(183,1)}
       120:{2,3,6,7}:{(91,1),(92,1),(94,1),(141,1),(145,1),(183,1),(196,1)}
       121:{2,4,6}:{(92,1),(93,1),(142,1),(146,1)}
       122:{2,4,7}:{(94,1),(95,1),(143,1),(180,1)}
       123:{2,4,5}:{(95,1),(144,1),(146,1),(181,1)}
       124:{1,3,5}:{(96,1),(98,1),(148,1),(149,1),(154,1)}
       125:{1,2,4}:{(96,1),(149,1),(150,1),(187,1)}
       126:{3,4,7}:{(97,1),(100,1),(151,1),(152,1),(188,1)}
       127:{1,4,6}:{(97,1),(98,1),(101,1),(148,1),(151,1)}
       128:{2,4,6}:{(97,1),(99,1),(102,1),(152,1),(163,1)}
       129:{1,2,4,5}:{(98,1),(99,1),(103,1),(149,1),(153,1),(154,1),(157,1),(187,1),(191,1),(204,1)}
       130:{1,5,7}:{(100,1),(101,1),(105,1),(151,1)}
       131:{2,3,5,7}:{(100,1),(102,1),(106,1),(113,1),(152,1),(155,1),(162,1),(188,1)}
       132:{1,2,5,6}:{(101,1),(102,1),(103,1),(107,1),(153,1),(155,1),(156,1),(204,1),(209,1)}
       133:{1,3,5}:{(103,1),(104,1),(154,1),(157,1)}
       134:{1,2,6,7}:{(105,1),(106,1),(107,1),(109,1),(155,1),(158,1),(209,1)}
       135:{1,3,6}:{(107,1),(108,1),(116,1),(159,1),(193,1)}
       136:{1,4,7}:{(108,1),(111,1),(117,1),(157,1),(159,1)}
       137:{1,3,7}:{(109,1),(110,1),(118,1),(160,1)}
       138:{1,4,6}:{(110,1),(111,1),(119,1),(160,1),(161,1),(193,1)}
       139:{1,2,5,7}:{(112,1),(113,1),(114,1),(115,1),(162,1),(167,1),(192,1)}
       140:{3,5,6}:{(114,1),(116,1),(162,1),(163,1),(165,1)}
       141:{3,6,7}:{(115,1),(116,1),(118,1),(162,1),(188,1)}
       142:{3,4,6}:{(116,1),(117,1),(121,1),(159,1),(163,1),(165,1)}
       143:{3,4,7}:{(118,1),(119,1),(122,1),(160,1),(166,1)}
       144:{3,5}:{(119,1),(123,1),(161,1)}
       145:{2,4,6,7}:{(120,1),(121,1),(122,1),(164,1),(167,1),(168,1),(203,1),(209,1)}
       146:{2,5}:{(121,1),(165,1)}
       147:{2,4,5,7}:{(122,1),(123,1),(166,1),(167,1),(168,1),(194,1)}
       148:{1,3,6}:{(124,1),(127,1),(169,1),(170,1),(173,1)}
       149:{1,2,5}:{(124,1),(125,1),(170,1),(171,1)}
       150:{2,3}:{(125,1)}
       151:{1,4,7}:{(126,1),(127,1),(130,1),(169,1)}
       152:{2,4,7}:{(126,1),(128,1),(131,1),(180,1)}
       153:{1,2,4,6}:{(127,1),(128,1),(129,1),(132,1),(170,1),(172,1),(173,1),(176,1),(197,1)}
       154:{3,5}:{(129,1),(173,1),(174,1)}
       155:{1,2,5,7}:{(130,1),(131,1),(132,1),(134,1),(172,1),(175,1),(207,1)}
       156:{1,3,5,6}:{(132,1),(133,1),(135,1),(140,1),(173,1),(175,1),(176,1),(178,1),(199,1),(201,1),(208,1)}
       157:{1,4}:{(133,1),(174,1)}
       158:{1,3,6,7}:{(134,1),(135,1),(137,1),(141,1),(175,1),(177,1),(208,1)}
       159:{1,4,6}:{(135,1),(136,1),(142,1),(178,1)}
       160:{1,4,7}:{(137,1),(138,1),(143,1),(179,1)}
       161:{1,5}:{(138,1),(144,1)}
       162:{3,5,7}:{(139,1),(140,1),(141,1),(180,1)}
       163:{4,6}:{(140,1),(180,1),(181,1)}
       164:{3,4,6,7}:{(141,1),(142,1),(143,1),(145,1),(177,1),(180,1),(182,1),(183,1),(198,1),(202,1),(208,1)}
       165:{3,5}:{(142,1),(146,1),(178,1),(181,1)}
       166:{3,5,7}:{(143,1),(144,1),(147,1),(179,1),(183,1)}
       167:{2,5,7}:{(145,1),(146,1),(182,1),(184,1)}
       168:{2,4,6}:{(147,1),(183,1),(184,1),(202,1)}
       169:{1,3,7}:{(148,1),(151,1),(185,1),(188,1)}
       170:{1,2,6}:{(148,1),(149,1),(185,1),(186,1)}
       171:{2,3,5}:{(149,1),(150,1),(154,1),(186,1),(187,1),(204,1)}
       172:{1,2,4,7}:{(151,1),(152,1),(153,1),(155,1),(185,1),(188,1),(190,1),(203,1)}
       173:{3,6}:{(153,1),(154,1),(188,1)}
       174:{3,4}:{(154,1),(157,1),(187,1)}
       175:{1,3,5,7}:{(155,1),(156,1),(158,1),(162,1),(188,1),(190,1),(192,1),(205,1)}
       176:{1,4,6}:{(156,1),(157,1),(163,1),(189,1),(190,1),(191,1)}
       177:{1,4,6,7}:{(158,1),(159,1),(160,1),(164,1),(190,1),(192,1),(193,1),(206,1)}
       178:{1,5}:{(159,1),(165,1)}
       179:{1,5,7}:{(160,1),(161,1),(166,1),(193,1)}
       180:{4,7}:{(162,1),(163,1)}
       181:{4,5}:{(163,1),(165,1)}
       182:{3,5,7}:{(164,1),(165,1),(167,1),(192,1),(194,1),(195,1)}
       183:{3,6}:{(166,1),(168,1),(193,1)}
       184:{2,5,6}:{(167,1),(168,1),(195,1),(209,1)}
       185:{1,2,7}:{(169,1),(170,1),(196,1)}
       186:{2,3,6}:{(170,1),(171,1),(173,1),(196,1),(197,1)}
       187:{2,4}:{(171,1),(174,1)}
       188:{3,7}:{(172,1),(173,1)}
       189:{3,4,6}:{(173,1),(174,1),(176,1),(197,1),(198,1),(199,1),(208,1)}
       190:{1,4,7}:{(175,1),(176,1),(180,1),(198,1)}
       191:{1,4,5}:{(176,1),(178,1),(181,1),(199,1)}
       192:{1,5,7}:{(177,1),(178,1),(182,1),(201,1)}
       193:{1,6}:{(179,1),(183,1)}
       194:{4,5,7}:{(180,1),(181,1),(182,1),(202,1)}
       195:{3,5,6}:{(182,1),(183,1),(184,1),(201,1),(202,1),(208,1)}
       196:{2,3,7}:{(185,1),(186,1),(188,1),(203,1)}
       197:{2,4,6}:{(186,1),(187,1),(189,1),(203,1),(204,1),(209,1)}
       198:{3,4,7}:{(188,1),(189,1),(190,1),(203,1),(205,1)}
       199:{3,5}:{(189,1),(191,1),(204,1)}
       200:{1,4,5,7}:{(190,1),(191,1),(192,1),(194,1),(205,1),(206,1)}
       201:{1,5,6}:{(192,1),(193,1),(195,1),(206,1)}
       202:{4,6}:{(194,1),(195,1)}
       203:{2,4,7}:{(196,1),(197,1),(198,1),(207,1)}
       204:{2,5}:{(197,1),(199,1)}
       205:{3,5,7}:{(198,1),(199,1),(200,1),(207,1),(208,1)}
       206:{1,4,6}:{(200,1),(201,1),(202,1),(208,1)}
       207:{2,5,7}:{(203,1),(204,1),(205,1),(209,1)}
       208:{3,6}:{(205,1),(206,1),(209,1)}
       209:{2,6}:{(207,1),(208,1)}

1596 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(15,1),(19,1),(42,1),(46,1),(77,1),(78,1),(79,1),(99,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(66,1),(67,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(29,1),(30,1),(34,1),(66,1),(67,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(65,1),(90,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(12,1),(16,1),(47,1),(96,1)}
         5:{3,4,6}:{(3,1),(11,1),(13,1),(14,1),(15,1),(51,1),(81,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(16,1),(48,1),(49,1),(52,1),(79,1)}
         7:{3,5,7}:{(2,1),(3,1),(13,1),(16,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(20,1),(51,1),(53,1),(75,1),(77,1),(94,1),(96,1),(103,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(39,1),(51,1),(55,1),(73,1),(78,1),(84,1),(96,1),(99,1)}
        10:{1,3,4,6}:{(14,1),(20,1),(21,1),(22,1),(51,1),(53,1),(81,1),(97,1)}
        11:{3,4,5}:{(5,1),(25,1),(26,1),(65,1),(102,1)}
        12:{4,6,7}:{(4,1),(27,1),(101,1)}
        13:{3,4,7}:{(5,1),(7,1),(29,1),(30,1),(69,1)}
        14:{1,4,6}:{(5,1),(8,1),(25,1),(29,1),(88,1),(101,1)}
        15:{2,4,6}:{(5,1),(9,1),(26,1),(30,1),(72,1),(101,1)}
        16:{3,6,7}:{(6,1),(7,1),(90,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(29,1),(32,1),(34,1),(66,1),(69,1),(92,1)}
        18:{2,3,5,7}:{(7,1),(9,1),(30,1),(33,1),(34,1),(67,1),(69,1),(92,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(36,1),(58,1),(70,1),(86,1)}
        20:{1,3,5}:{(10,1),(25,1),(36,1),(65,1),(102,1)}
        21:{1,3,4,7}:{(10,1),(29,1),(35,1),(37,1),(69,1),(91,1)}
        22:{1,2,4,6}:{(10,1),(36,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        23:{2,3,4,6}:{(15,1),(39,1),(40,1),(41,1),(51,1),(73,1),(81,1),(97,1)}
        24:{3,4,5,7}:{(11,1),(13,1),(43,1),(44,1),(45,1),(47,1),(80,1),(98,1),(104,1)}
        25:{1,4,5}:{(11,1),(14,1),(20,1),(103,1),(104,1)}
        26:{2,4,5}:{(11,1),(15,1),(39,1),(99,1),(104,1)}
        27:{4,5,7}:{(12,1),(42,1),(47,1),(98,1),(104,1)}
        28:{3,4,6,7}:{(12,1),(13,1),(16,1),(43,1),(47,1),(48,1),(49,1),(83,1),(97,1),(98,1)}
        29:{1,4,7}:{(13,1),(14,1),(17,1),(98,1)}
        30:{2,4,7}:{(13,1),(15,1),(18,1),(98,1)}
        31:{1,2,4,6}:{(14,1),(15,1),(19,1),(46,1),(50,1),(51,1)}
        32:{1,3,6,7}:{(16,1),(17,1),(48,1),(52,1),(53,1),(83,1),(94,1)}
        33:{2,3,6,7}:{(16,1),(18,1),(49,1),(52,1),(73,1),(83,1),(84,1)}
        34:{1,2,5,7}:{(17,1),(18,1),(19,1),(50,1),(52,1)}
        35:{1,3,5,7}:{(20,1),(21,1),(44,1),(53,1),(54,1),(80,1)}
        36:{1,2,5}:{(20,1),(22,1),(55,1),(99,1)}
        37:{1,2,4,7}:{(21,1),(22,1),(54,1),(56,1),(85,1)}
        38:{2,3,6}:{(22,1),(51,1),(55,1),(56,1)}
        39:{2,3,5}:{(23,1),(26,1),(58,1),(65,1),(102,1)}
        40:{2,3,4,7}:{(23,1),(30,1),(57,1),(59,1),(69,1),(91,1)}
        41:{1,2,4,6}:{(23,1),(58,1),(59,1),(60,1),(86,1),(88,1),(100,1)}
        42:{4,5,6}:{(27,1),(61,1),(101,1)}
        43:{3,4,6}:{(24,1),(61,1),(62,1),(63,1),(90,1),(101,1)}
        44:{1,4,5,7}:{(24,1),(25,1),(29,1),(35,1),(62,1),(66,1)}
        45:{2,4,5,7}:{(24,1),(26,1),(30,1),(57,1),(63,1),(67,1)}
        46:{1,2,4,5}:{(25,1),(26,1),(31,1),(36,1),(58,1),(65,1),(72,1),(88,1)}
        47:{3,5,7}:{(27,1),(28,1),(61,1),(66,1),(67,1),(102,1)}
        48:{1,4,6,7}:{(28,1),(29,1),(32,1),(62,1),(66,1),(100,1)}
        49:{2,4,6,7}:{(28,1),(30,1),(33,1),(63,1),(67,1),(93,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(69,1)}
        51:{3,6}:{(31,1),(65,1),(69,1)}
        52:{1,2,6,7}:{(32,1),(33,1),(34,1),(70,1),(86,1)}
        53:{1,3,6}:{(35,1),(62,1),(70,1),(90,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(37,1),(70,1),(71,1)}
        55:{2,3,5}:{(36,1),(38,1),(65,1),(72,1)}
        56:{2,3,7}:{(37,1),(38,1),(69,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(45,1),(73,1),(74,1),(80,1)}
        58:{1,2,5}:{(39,1),(41,1),(75,1),(103,1)}
        59:{1,2,4,7}:{(40,1),(41,1),(74,1),(76,1),(95,1)}
        60:{1,3,6}:{(41,1),(51,1),(75,1),(76,1)}
        61:{3,5,6}:{(42,1),(43,1),(47,1),(77,1),(78,1)}
        62:{1,4,6}:{(43,1),(44,1),(53,1),(77,1)}
        63:{2,4,6}:{(43,1),(45,1),(73,1),(78,1)}
        64:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(54,1),(74,1),(79,1),(80,1),(82,1),(85,1),(95,1),(98,1),(99,1),(103,1),(104,1)}
        65:{3,5}:{(46,1),(51,1),(81,1)}
        66:{1,5,7}:{(47,1),(48,1),(77,1),(103,1)}
        67:{2,5,7}:{(47,1),(49,1),(78,1),(99,1)}
        68:{1,2,4,6,7}:{(48,1),(49,1),(50,1),(52,1),(79,1),(82,1),(83,1),(98,1)}
        69:{3,7}:{(50,1),(51,1)}
        70:{1,2,6}:{(53,1),(54,1),(84,1)}
        71:{2,3,5,7}:{(54,1),(55,1),(56,1),(80,1),(84,1),(85,1),(99,1)}
        72:{2,4}:{(55,1),(81,1)}
        73:{2,3,6}:{(57,1),(63,1),(86,1),(90,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(86,1),(87,1)}
        75:{1,3,5}:{(58,1),(60,1),(65,1),(88,1)}
        76:{1,3,7}:{(59,1),(60,1),(69,1)}
        77:{1,5,6}:{(61,1),(62,1),(66,1)}
        78:{2,5,6}:{(61,1),(63,1),(67,1)}
        79:{1,2,4,6}:{(62,1),(63,1),(64,1),(70,1),(86,1),(89,1),(90,1),(93,1),(100,1),(101,1)}
        80:{3,5,7}:{(64,1),(65,1),(69,1),(90,1),(91,1),(102,1)}
        81:{3,4}:{(65,1),(72,1),(88,1)}
        82:{1,2,5,7}:{(66,1),(67,1),(68,1),(89,1),(92,1)}
        83:{3,6,7}:{(68,1),(69,1),(90,1),(92,1)}
        84:{2,3,6}:{(70,1),(71,1),(90,1),(93,1)}
        85:{2,4,7}:{(71,1),(72,1),(91,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{1,3,5,7}:{(74,1),(75,1),(76,1),(80,1),(94,1),(95,1),(103,1)}
        88:{1,4}:{(75,1),(81,1)}
        89:{1,2,5,6}:{(77,1),(78,1),(79,1),(82,1),(96,1),(99,1),(103,1)}
        90:{3,6}:{(79,1),(80,1)}
        91:{3,4,7}:{(80,1),(81,1),(85,1),(95,1),(97,1),(98,1)}
        92:{3,5,7}:{(82,1),(83,1),(96,1),(98,1)}
        93:{2,4,6}:{(84,1),(85,1),(97,1),(99,1)}
        94:{1,3,6}:{(86,1),(87,1),(90,1),(100,1)}
        95:{1,4,7}:{(87,1),(88,1),(91,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(92,1),(101,1),(102,1)}
        97:{3,4,6}:{(90,1),(91,1),(93,1),(100,1),(101,1),(102,1)}
        98:{4,7}:{(92,1),(101,1)}
        99:{2,5}:{(93,1),(102,1)}
       100:{1,4,6}:{(94,1),(95,1),(97,1),(103,1)}
       101:{4,6}:{(96,1),(98,1),(104,1)}
       102:{3,5}:{(97,1),(99,1),(103,1),(104,1)}
       103:{1,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1597 :   0:{4,5,6,7}:{(3,1),(61,1),(226,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(6,1),(31,1),(112,1),(176,1),(211,1)}
         2:{2,3,4,5}:{(7,1),(8,1),(68,1),(73,1),(125,1)}
         3:{3,5,6,7}:{(0,1),(10,1),(11,1),(12,1),(221,1)}
         4:{3,4,5,7}:{(1,1),(10,1),(13,1),(14,1),(45,1),(84,1)}
         5:{1,4,5,6}:{(1,1),(13,1),(15,1),(187,1),(216,1)}
         6:{2,4,5,6}:{(1,1),(14,1),(16,1),(155,1),(200,1)}
         7:{2,3,4,6}:{(2,1),(16,1),(18,1),(19,1),(48,1)}
         8:{1,2,4,5}:{(2,1),(19,1),(20,1),(52,1),(91,1),(96,1)}
         9:{1,3,4,5}:{(21,1),(22,1),(68,1),(105,1),(162,1)}
        10:{3,4,6,7}:{(3,1),(4,1),(23,1),(24,1),(60,1),(61,1),(211,1)}
        11:{1,5,6,7}:{(3,1),(23,1),(224,1)}
        12:{2,5,6,7}:{(3,1),(24,1),(214,1)}
        13:{1,4,5,7}:{(4,1),(5,1),(23,1),(26,1)}
        14:{2,4,5,7}:{(4,1),(6,1),(24,1),(27,1)}
        15:{1,3,5,6}:{(5,1),(21,1),(26,1),(29,1),(31,1),(162,1),(204,1)}
        16:{2,3,5,6}:{(6,1),(7,1),(27,1),(30,1),(31,1),(125,1),(180,1)}
        17:{1,2,4,5,6}:{(5,1),(6,1),(28,1),(29,1),(30,1),(31,1),(66,1),(67,1),(112,1),(118,1),(169,1),(170,1),(173,1)}
        18:{2,3,4,7}:{(7,1),(27,1),(32,1),(64,1)}
        19:{1,2,4,6}:{(7,1),(8,1),(30,1),(32,1),(33,1),(67,1)}
        20:{1,3,5}:{(8,1),(33,1),(35,1)}
        21:{1,3,4,6}:{(9,1),(15,1),(36,1),(37,1),(48,1)}
        22:{1,2,4,5}:{(9,1),(37,1),(38,1),(79,1),(90,1),(133,1)}
        23:{1,4,6,7}:{(10,1),(11,1),(13,1),(39,1),(216,1)}
        24:{2,4,6,7}:{(10,1),(12,1),(14,1),(40,1),(200,1)}
        25:{1,2,5,6,7}:{(11,1),(12,1),(41,1),(42,1),(139,1),(140,1),(192,1)}
        26:{1,3,5,7}:{(13,1),(15,1),(36,1),(39,1),(43,1),(45,1)}
        27:{2,3,5,7}:{(14,1),(16,1),(18,1),(40,1),(44,1),(45,1)}
        28:{1,2,4,5,7}:{(13,1),(14,1),(17,1),(41,1),(43,1),(44,1),(45,1),(84,1),(86,1),(87,1),(139,1),(140,1)}
        29:{1,2,5,6}:{(15,1),(37,1),(43,1),(46,1),(133,1),(185,1)}
        30:{1,2,5,6}:{(16,1),(19,1),(44,1),(47,1),(96,1),(153,1)}
        31:{3,5,6}:{(17,1),(45,1),(48,1),(148,1),(196,1)}
        32:{1,2,4,7}:{(18,1),(19,1),(44,1),(49,1),(87,1)}
        33:{1,3,6}:{(19,1),(20,1),(49,1)}
        34:{1,2,3,5}:{(20,1),(50,1),(52,1),(96,1),(98,1)}
        35:{1,3,4}:{(20,1),(52,1)}
        36:{1,3,4,7}:{(21,1),(26,1),(54,1),(64,1)}
        37:{1,2,4,6}:{(21,1),(22,1),(29,1),(54,1),(55,1),(66,1)}
        38:{2,3,5}:{(22,1),(55,1),(57,1)}
        39:{1,3,6,7}:{(23,1),(26,1),(58,1),(60,1),(204,1)}
        40:{2,3,6,7}:{(24,1),(27,1),(59,1),(60,1),(180,1)}
        41:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(28,1),(58,1),(59,1),(60,1),(61,1),(109,1),(110,1),(173,1)}
        42:{3,5,6,7}:{(25,1),(60,1),(61,1),(111,1),(209,1)}
        43:{1,2,5,7}:{(26,1),(29,1),(54,1),(58,1),(62,1)}
        44:{1,2,5,7}:{(27,1),(30,1),(32,1),(59,1),(63,1)}
        45:{3,5,7}:{(28,1),(31,1),(60,1),(64,1)}
        46:{2,3,5,6}:{(29,1),(31,1),(55,1),(62,1),(66,1),(104,1),(161,1),(169,1)}
        47:{1,3,5,6}:{(30,1),(31,1),(33,1),(63,1),(67,1),(72,1),(124,1),(170,1)}
        48:{3,4,6}:{(31,1),(64,1),(66,1),(67,1),(68,1)}
        49:{1,3,7}:{(32,1),(33,1)}
        50:{1,2,3,6}:{(33,1),(34,1),(69,1),(71,1),(128,1)}
        51:{1,3,4,6}:{(33,1),(35,1),(67,1),(70,1),(71,1),(72,1),(117,1),(124,1)}
        52:{1,2,4}:{(34,1),(35,1),(73,1)}
        53:{1,3,4,5}:{(35,1),(72,1),(74,1),(75,1),(176,1)}
        54:{1,2,4,7}:{(36,1),(37,1),(43,1),(76,1),(86,1)}
        55:{2,3,6}:{(37,1),(38,1),(76,1)}
        56:{1,2,3,5}:{(38,1),(77,1),(79,1),(133,1),(135,1)}
        57:{2,3,4}:{(38,1),(79,1)}
        58:{1,2,6,7}:{(39,1),(43,1),(81,1),(185,1)}
        59:{1,2,6,7}:{(40,1),(44,1),(82,1),(153,1)}
        60:{3,6,7}:{(41,1),(45,1),(196,1)}
        61:{4,6,7}:{(42,1),(84,1),(219,1)}
        62:{2,3,5,7}:{(43,1),(45,1),(46,1),(76,1),(81,1),(86,1),(139,1)}
        63:{1,3,5,7}:{(44,1),(45,1),(47,1),(49,1),(82,1),(87,1),(140,1)}
        64:{3,4,7}:{(45,1),(48,1),(86,1),(87,1)}
        65:{1,2,3,5,6}:{(46,1),(47,1),(50,1),(77,1),(85,1),(89,1),(96,1),(133,1),(148,1),(153,1),(156,1),(185,1),(188,1),(192,1),(196,1)}
        66:{2,4,6}:{(46,1),(48,1),(86,1),(90,1)}
        67:{1,4,6}:{(47,1),(48,1),(87,1),(91,1)}
        68:{3,4,5}:{(48,1),(90,1),(91,1),(148,1)}
        69:{1,2,3,7}:{(49,1),(50,1),(93,1),(158,1)}
        70:{1,3,4,7}:{(49,1),(51,1),(87,1),(93,1),(94,1),(143,1)}
        71:{1,2,4,6}:{(50,1),(51,1),(52,1),(93,1),(95,1),(96,1),(153,1)}
        72:{1,3,5}:{(51,1),(91,1),(96,1),(148,1)}
        73:{2,3,4}:{(52,1),(98,1)}
        74:{1,2,4,5}:{(52,1),(53,1),(96,1),(98,1),(99,1),(155,1)}
        75:{1,3,4,6}:{(53,1),(97,1),(99,1),(100,1),(198,1)}
        76:{2,3,7}:{(54,1),(55,1)}
        77:{1,2,3,6}:{(55,1),(56,1),(101,1),(103,1),(165,1)}
        78:{2,3,4,6}:{(55,1),(57,1),(66,1),(102,1),(103,1),(104,1),(117,1),(161,1)}
        79:{1,2,4}:{(56,1),(57,1),(105,1)}
        80:{2,3,4,5}:{(57,1),(104,1),(106,1),(107,1),(176,1)}
        81:{2,3,6,7}:{(58,1),(60,1),(62,1),(109,1),(161,1)}
        82:{1,3,6,7}:{(59,1),(60,1),(63,1),(110,1),(124,1)}
        83:{3,4,6,7}:{(60,1),(61,1),(64,1),(109,1),(110,1),(111,1),(116,1)}
        84:{4,5,7}:{(61,1),(111,1),(112,1)}
        85:{1,2,3,5,7}:{(62,1),(63,1),(65,1),(69,1),(101,1),(108,1),(113,1),(123,1),(160,1),(168,1),(172,1),(183,1),(207,1)}
        86:{2,4,7}:{(62,1),(64,1),(66,1)}
        87:{1,4,7}:{(63,1),(64,1),(67,1)}
        88:{3,4,5,7}:{(64,1),(68,1),(111,1),(114,1),(115,1),(116,1),(172,1),(208,1)}
        89:{1,2,4,6}:{(65,1),(66,1),(67,1),(113,1),(117,1),(118,1),(182,1),(206,1)}
        90:{2,4,5}:{(66,1),(68,1),(104,1)}
        91:{1,4,5}:{(67,1),(68,1),(72,1)}
        92:{3,4,5,6}:{(68,1),(116,1),(119,1),(120,1),(121,1),(177,1),(226,1)}
        93:{1,2,4,7}:{(69,1),(70,1),(71,1),(122,1),(123,1)}
        94:{1,3,5,7}:{(70,1),(72,1),(115,1),(123,1),(124,1),(172,1)}
        95:{2,3,4,6}:{(71,1),(73,1),(117,1),(122,1),(125,1),(128,1),(180,1),(182,1)}
        96:{1,2,5}:{(71,1),(72,1),(125,1)}
        97:{1,3,5,6}:{(72,1),(75,1),(120,1),(124,1),(126,1),(127,1),(177,1)}
        98:{2,3,5}:{(73,1),(74,1),(128,1)}
        99:{1,2,4,6}:{(74,1),(75,1),(126,1),(128,1),(129,1),(182,1)}
       100:{1,3,4,7}:{(75,1),(127,1),(129,1),(213,1)}
       101:{1,2,3,7}:{(76,1),(77,1),(130,1),(190,1)}
       102:{2,3,4,7}:{(76,1),(78,1),(86,1),(130,1),(131,1),(143,1)}
       103:{1,2,4,6}:{(77,1),(78,1),(79,1),(130,1),(132,1),(133,1),(185,1)}
       104:{2,3,5}:{(78,1),(90,1),(133,1),(148,1)}
       105:{1,3,4}:{(79,1),(135,1)}
       106:{1,2,4,5}:{(79,1),(80,1),(133,1),(135,1),(136,1),(187,1)}
       107:{2,3,4,6}:{(80,1),(134,1),(136,1),(137,1),(198,1)}
       108:{1,2,3,6,7}:{(81,1),(82,1),(85,1),(138,1),(153,1),(185,1),(196,1),(201,1),(217,1)}
       109:{2,4,6,7}:{(81,1),(83,1),(86,1),(139,1),(145,1)}
       110:{1,4,6,7}:{(82,1),(83,1),(87,1),(140,1),(146,1)}
       111:{3,5,7}:{(83,1),(84,1),(139,1),(140,1),(141,1)}
       112:{4,5,6}:{(84,1),(141,1),(219,1)}
       113:{1,2,4,7}:{(85,1),(86,1),(87,1),(89,1),(143,1),(202,1),(218,1)}
       114:{2,4,5,7}:{(86,1),(88,1),(90,1),(131,1),(139,1),(145,1)}
       115:{1,4,5,7}:{(87,1),(88,1),(91,1),(94,1),(140,1),(146,1)}
       116:{3,4,6}:{(88,1),(141,1),(145,1),(146,1),(196,1),(219,1)}
       117:{3,4,6}:{(89,1),(143,1),(148,1),(196,1)}
       118:{1,2,4,5}:{(89,1),(90,1),(91,1),(96,1),(133,1),(148,1),(155,1),(187,1)}
       119:{2,4,5,6}:{(90,1),(92,1),(134,1),(145,1),(150,1)}
       120:{1,4,5,6}:{(91,1),(92,1),(97,1),(146,1),(151,1)}
       121:{3,4,5,7}:{(92,1),(147,1),(150,1),(151,1),(199,1),(230,1)}
       122:{2,3,4,7}:{(93,1),(95,1),(143,1),(152,1),(158,1),(202,1)}
       123:{1,2,5,7}:{(93,1),(94,1),(96,1),(152,1),(153,1)}
       124:{1,3,6}:{(94,1),(146,1),(153,1),(196,1)}
       125:{2,3,5}:{(95,1),(96,1),(148,1),(155,1)}
       126:{1,2,5,6}:{(96,1),(97,1),(99,1),(153,1),(156,1),(157,1)}
       127:{1,3,5,7}:{(97,1),(100,1),(151,1),(154,1),(157,1),(199,1)}
       128:{2,3,6}:{(98,1),(99,1),(158,1)}
       129:{1,2,4,7}:{(99,1),(100,1),(157,1),(158,1),(202,1)}
       130:{1,2,4,7}:{(101,1),(102,1),(103,1),(159,1),(160,1)}
       131:{2,3,5,7}:{(102,1),(104,1),(114,1),(160,1),(161,1),(172,1)}
       132:{1,3,4,6}:{(103,1),(105,1),(117,1),(159,1),(162,1),(165,1),(204,1),(206,1)}
       133:{1,2,5}:{(103,1),(104,1),(162,1)}
       134:{2,3,5,6}:{(104,1),(107,1),(119,1),(161,1),(163,1),(164,1),(177,1)}
       135:{1,3,5}:{(105,1),(106,1),(165,1)}
       136:{1,2,4,6}:{(106,1),(107,1),(163,1),(165,1),(166,1),(206,1)}
       137:{2,3,4,7}:{(107,1),(164,1),(166,1),(213,1)}
       138:{1,2,4,6,7}:{(108,1),(109,1),(110,1),(113,1),(167,1),(168,1),(173,1),(215,1),(225,1)}
       139:{2,5,7}:{(109,1),(111,1),(169,1)}
       140:{1,5,7}:{(110,1),(111,1),(170,1)}
       141:{3,5,6}:{(111,1),(112,1),(116,1),(169,1),(170,1)}
       142:{4,5,6,7}:{(112,1),(171,1),(227,1)}
       143:{3,4,7}:{(113,1),(117,1),(172,1)}
       144:{1,2,4,5,7}:{(113,1),(114,1),(115,1),(118,1),(123,1),(160,1),(168,1),(172,1),(173,1),(179,1),(203,1),(208,1)}
       145:{2,4,6}:{(114,1),(116,1),(161,1),(169,1)}
       146:{1,4,6}:{(115,1),(116,1),(124,1),(170,1)}
       147:{3,4,6,7}:{(116,1),(121,1),(171,1),(174,1),(175,1),(212,1),(227,1)}
       148:{3,5}:{(117,1),(118,1)}
       149:{1,2,4,5,6}:{(118,1),(119,1),(120,1),(126,1),(163,1),(173,1),(177,1),(178,1),(182,1),(206,1),(214,1),(224,1),(226,1)}
       150:{2,4,5,7}:{(119,1),(121,1),(164,1),(174,1)}
       151:{1,4,5,7}:{(120,1),(121,1),(127,1),(175,1)}
       152:{2,3,5,7}:{(122,1),(123,1),(125,1),(172,1),(179,1),(180,1)}
       153:{1,2,6}:{(123,1),(124,1),(180,1)}
       154:{1,3,6,7}:{(124,1),(127,1),(175,1),(181,1),(212,1)}
       155:{2,4,5}:{(125,1),(176,1),(182,1)}
       156:{2,3,5,6}:{(125,1),(126,1),(128,1),(177,1),(180,1),(182,1),(183,1),(214,1)}
       157:{1,2,5,7}:{(126,1),(127,1),(129,1),(181,1),(183,1)}
       158:{2,3,7}:{(128,1),(129,1)}
       159:{1,3,4,7}:{(130,1),(132,1),(143,1),(184,1),(190,1),(218,1)}
       160:{1,2,5,7}:{(130,1),(131,1),(133,1),(184,1),(185,1)}
       161:{2,3,6}:{(131,1),(145,1),(185,1),(196,1)}
       162:{1,3,5}:{(132,1),(133,1),(148,1),(187,1)}
       163:{1,2,5,6}:{(133,1),(134,1),(136,1),(185,1),(188,1),(189,1)}
       164:{2,3,5,7}:{(134,1),(137,1),(150,1),(186,1),(189,1),(199,1)}
       165:{1,3,6}:{(135,1),(136,1),(190,1)}
       166:{1,2,4,7}:{(136,1),(137,1),(189,1),(190,1),(218,1)}
       167:{3,4,6,7}:{(138,1),(143,1),(191,1),(196,1),(219,1)}
       168:{1,2,5,7}:{(138,1),(139,1),(140,1),(191,1),(192,1),(223,1),(229,1)}
       169:{2,5,6}:{(139,1),(141,1),(145,1)}
       170:{1,5,6}:{(140,1),(141,1),(146,1)}
       171:{3,5,6,7}:{(141,1),(142,1),(147,1),(193,1),(194,1)}
       172:{3,5,7}:{(143,1),(144,1),(148,1),(196,1)}
       173:{1,2,4,6}:{(144,1),(145,1),(146,1),(153,1),(185,1),(192,1),(196,1),(200,1),(216,1),(219,1)}
       174:{2,4,6,7}:{(145,1),(147,1),(150,1),(186,1),(193,1)}
       175:{1,4,6,7}:{(146,1),(147,1),(151,1),(154,1),(194,1)}
       176:{3,4,5}:{(148,1),(155,1),(187,1),(198,1)}
       177:{3,5,6}:{(148,1),(149,1),(196,1),(198,1),(199,1)}
       178:{1,2,4,5,7}:{(149,1),(150,1),(151,1),(157,1),(189,1),(197,1),(199,1),(202,1),(218,1),(223,1),(229,1),(230,1)}
       179:{2,4,5,7}:{(152,1),(155,1),(195,1),(200,1),(202,1),(223,1)}
       180:{2,3,6}:{(152,1),(153,1),(196,1),(200,1)}
       181:{1,2,6,7}:{(153,1),(154,1),(157,1),(201,1)}
       182:{2,4,6}:{(155,1),(156,1),(198,1),(202,1)}
       183:{2,3,5,7}:{(156,1),(157,1),(158,1),(199,1),(201,1),(202,1),(223,1)}
       184:{1,3,5,7}:{(159,1),(160,1),(162,1),(172,1),(203,1),(204,1)}
       185:{1,2,6}:{(160,1),(161,1),(204,1)}
       186:{2,3,6,7}:{(161,1),(164,1),(174,1),(205,1),(212,1)}
       187:{1,4,5}:{(162,1),(176,1),(206,1)}
       188:{1,3,5,6}:{(162,1),(163,1),(165,1),(177,1),(204,1),(206,1),(207,1),(224,1)}
       189:{1,2,5,7}:{(163,1),(164,1),(166,1),(205,1),(207,1)}
       190:{1,3,7}:{(165,1),(166,1)}
       191:{3,5,7}:{(167,1),(168,1),(208,1),(209,1)}
       192:{1,2,5,6}:{(168,1),(169,1),(170,1),(173,1),(209,1),(214,1),(224,1)}
       193:{2,5,6,7}:{(169,1),(171,1),(174,1)}
       194:{1,5,6,7}:{(170,1),(171,1),(175,1)}
       195:{3,4,5,7}:{(172,1),(176,1),(179,1),(203,1),(208,1),(211,1),(213,1),(228,1)}
       196:{3,6}:{(172,1),(173,1)}
       197:{1,2,4,6,7}:{(173,1),(174,1),(175,1),(178,1),(181,1),(205,1),(210,1),(212,1),(215,1),(225,1),(227,1)}
       198:{3,4,6}:{(176,1),(177,1),(182,1),(206,1),(213,1)}
       199:{3,5,7}:{(177,1),(178,1),(212,1),(213,1)}
       200:{2,4,6}:{(179,1),(180,1),(211,1),(214,1)}
       201:{2,3,6,7}:{(180,1),(181,1),(183,1),(212,1),(215,1)}
       202:{2,4,7}:{(182,1),(183,1),(213,1)}
       203:{1,4,5,7}:{(184,1),(187,1),(195,1),(216,1),(218,1),(229,1)}
       204:{1,3,6}:{(184,1),(185,1),(196,1),(216,1)}
       205:{1,2,6,7}:{(185,1),(186,1),(189,1),(217,1)}
       206:{1,4,6}:{(187,1),(188,1),(198,1),(218,1)}
       207:{1,3,5,7}:{(188,1),(189,1),(190,1),(199,1),(217,1),(218,1),(229,1)}
       208:{4,5,7}:{(191,1),(219,1)}
       209:{3,5,6}:{(191,1),(192,1),(196,1),(219,1)}
       210:{1,2,5,6,7}:{(192,1),(193,1),(194,1),(197,1),(220,1),(223,1),(229,1)}
       211:{3,4,6}:{(195,1),(196,1),(200,1),(216,1),(219,1),(221,1)}
       212:{3,6,7}:{(196,1),(197,1),(199,1)}
       213:{3,4,7}:{(198,1),(199,1),(202,1),(218,1)}
       214:{2,5,6}:{(200,1),(221,1),(223,1)}
       215:{2,4,6,7}:{(200,1),(201,1),(202,1),(222,1),(223,1)}
       216:{1,4,6}:{(203,1),(204,1),(211,1),(224,1)}
       217:{1,3,6,7}:{(204,1),(205,1),(207,1),(212,1),(225,1)}
       218:{1,4,7}:{(206,1),(207,1),(213,1)}
       219:{4,6}:{(208,1),(209,1)}
       220:{3,5,6,7}:{(209,1),(210,1),(212,1),(227,1),(228,1)}
       221:{3,5,6}:{(211,1),(214,1),(224,1),(226,1),(228,1)}
       222:{3,4,6,7}:{(211,1),(212,1),(213,1),(215,1),(225,1),(227,1),(228,1)}
       223:{2,5,7}:{(214,1),(215,1),(228,1)}
       224:{1,5,6}:{(216,1),(221,1),(229,1)}
       225:{1,4,6,7}:{(216,1),(217,1),(218,1),(222,1),(229,1)}
       226:{4,5,6}:{(219,1),(221,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{3,5,7}:{(221,1),(222,1),(223,1),(229,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(228,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

1598 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(16,1),(17,1),(20,1),(21,1),(38,1),(71,1),(95,1),(96,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(114,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(18,1),(19,1),(20,1),(127,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(15,1),(71,1),(97,1),(126,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(26,1),(27,1),(28,1)}
         5:{3,5,7}:{(2,1),(3,1),(9,1),(135,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(58,1),(62,1),(87,1),(92,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(58,1),(62,1),(86,1),(91,1),(111,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(36,1),(37,1),(38,1),(65,1),(106,1)}
         9:{3,5,6}:{(4,1),(5,1),(15,1)}
        10:{3,4,5,7}:{(5,1),(15,1),(18,1),(19,1),(45,1),(97,1),(101,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1),(45,1),(109,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(45,1),(108,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(41,1),(46,1),(107,1)}
        14:{3,5,6,7}:{(8,1),(9,1),(23,1),(82,1),(120,1)}
        15:{3,4,6}:{(9,1),(10,1),(26,1),(27,1),(58,1)}
        16:{1,3,5,6}:{(9,1),(11,1),(26,1),(28,1),(58,1)}
        17:{2,3,5,6}:{(9,1),(12,1),(27,1),(28,1),(58,1)}
        18:{1,4,5,7}:{(10,1),(11,1),(26,1),(112,1),(116,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(27,1),(111,1),(115,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(28,1),(121,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(58,1),(86,1),(87,1),(90,1)}
        22:{3,4,5,6}:{(15,1),(33,1),(34,1),(35,1),(68,1),(101,1),(125,1)}
        23:{3,4,6,7}:{(14,1),(15,1),(33,1),(36,1),(37,1),(71,1),(97,1),(125,1)}
        24:{1,3,5,6,7}:{(14,1),(16,1),(36,1),(38,1),(63,1),(71,1),(96,1),(130,1)}
        25:{2,3,5,6,7}:{(14,1),(17,1),(37,1),(38,1),(64,1),(71,1),(95,1),(129,1)}
        26:{1,4,6}:{(15,1),(16,1),(18,1)}
        27:{2,4,6}:{(15,1),(17,1),(19,1)}
        28:{1,2,5,6}:{(16,1),(17,1),(20,1),(41,1)}
        29:{1,3,4,5,7}:{(18,1),(39,1),(43,1),(45,1),(63,1),(79,1),(97,1),(101,1),(109,1),(124,1),(137,1)}
        30:{2,3,4,5,7}:{(19,1),(40,1),(44,1),(45,1),(64,1),(78,1),(97,1),(101,1),(108,1),(123,1),(137,1)}
        31:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(41,1),(45,1),(46,1),(76,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(42,1),(45,1),(46,1),(95,1),(96,1)}
        33:{3,4,5,7}:{(22,1),(23,1),(47,1),(48,1),(82,1)}
        34:{1,4,5,6}:{(22,1),(26,1),(47,1),(49,1),(116,1),(134,1)}
        35:{2,4,5,6}:{(22,1),(27,1),(48,1),(50,1),(115,1),(133,1)}
        36:{1,4,6,7}:{(23,1),(24,1),(26,1),(47,1),(112,1),(134,1)}
        37:{2,4,6,7}:{(23,1),(25,1),(27,1),(48,1),(111,1),(133,1)}
        38:{1,2,5,6,7}:{(24,1),(25,1),(28,1),(54,1),(80,1),(81,1),(136,1)}
        39:{1,3,4,6}:{(26,1),(29,1),(49,1),(56,1),(58,1),(85,1),(134,1),(139,1)}
        40:{2,3,4,6}:{(27,1),(30,1),(50,1),(57,1),(58,1),(85,1),(133,1),(139,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(58,1)}
        42:{1,2,3,5,6}:{(28,1),(32,1),(58,1),(59,1),(83,1),(84,1),(90,1),(93,1),(121,1)}
        43:{1,2,4,5,7}:{(29,1),(56,1),(60,1),(80,1),(94,1),(111,1),(115,1),(121,1)}
        44:{1,2,4,5,7}:{(30,1),(57,1),(61,1),(81,1),(94,1),(112,1),(116,1),(121,1)}
        45:{3,5,7}:{(31,1),(58,1),(62,1),(93,1)}
        46:{1,2,4,7}:{(32,1),(59,1),(62,1),(111,1),(112,1)}
        47:{1,4,5,7}:{(33,1),(34,1),(36,1),(63,1)}
        48:{2,4,5,7}:{(33,1),(35,1),(37,1),(64,1)}
        49:{1,3,5,6}:{(34,1),(39,1),(63,1),(66,1),(68,1),(109,1)}
        50:{2,3,5,6}:{(35,1),(40,1),(64,1),(67,1),(68,1),(108,1)}
        51:{1,2,4,5,6}:{(34,1),(35,1),(41,1),(65,1),(66,1),(67,1),(68,1),(76,1),(99,1),(100,1),(127,1),(138,1)}
        52:{1,3,4,6,7}:{(36,1),(39,1),(63,1),(69,1),(71,1),(97,1)}
        53:{2,3,4,6,7}:{(37,1),(40,1),(64,1),(70,1),(71,1),(97,1)}
        54:{1,2,4,6,7}:{(36,1),(37,1),(38,1),(41,1),(65,1),(71,1),(138,1)}
        55:{1,2,3,5,6,7}:{(38,1),(42,1),(71,1),(72,1),(95,1),(96,1),(102,1),(105,1),(128,1),(129,1),(130,1)}
        56:{1,2,4,6}:{(39,1),(43,1),(66,1),(73,1),(99,1)}
        57:{1,2,4,6}:{(40,1),(44,1),(67,1),(74,1),(100,1)}
        58:{3,6}:{(41,1),(45,1)}
        59:{1,2,4,6}:{(42,1),(46,1),(75,1),(76,1),(99,1),(100,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(73,1),(78,1),(108,1),(137,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(74,1),(79,1),(109,1),(137,1)}
        62:{3,4,7}:{(45,1),(46,1),(75,1)}
        63:{1,3,5,7}:{(47,1),(49,1),(52,1),(80,1),(82,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(53,1),(81,1),(82,1)}
        65:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(54,1),(80,1),(81,1),(82,1),(111,1),(112,1)}
        66:{1,2,5,6}:{(49,1),(56,1),(80,1),(83,1),(121,1)}
        67:{1,2,5,6}:{(50,1),(57,1),(81,1),(84,1),(121,1)}
        68:{3,5,6}:{(51,1),(58,1),(82,1),(85,1),(93,1),(135,1),(139,1)}
        69:{1,2,4,6,7}:{(52,1),(56,1),(80,1),(86,1),(111,1)}
        70:{1,2,4,6,7}:{(53,1),(57,1),(81,1),(87,1),(112,1)}
        71:{3,6,7}:{(54,1),(58,1),(82,1),(139,1)}
        72:{1,2,4,6,7}:{(55,1),(59,1),(88,1),(89,1),(111,1),(112,1),(133,1),(134,1)}
        73:{2,3,6}:{(56,1),(58,1),(60,1),(139,1)}
        74:{1,3,6}:{(57,1),(58,1),(61,1),(139,1)}
        75:{3,4,6}:{(58,1),(59,1),(62,1),(93,1)}
        76:{1,2,4,5}:{(59,1),(93,1),(115,1),(116,1),(121,1)}
        77:{1,2,3,5,7}:{(60,1),(61,1),(90,1),(94,1),(121,1)}
        78:{2,3,4,7}:{(60,1),(62,1),(91,1),(94,1),(111,1),(131,1)}
        79:{1,3,4,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(131,1)}
        80:{1,2,5,7}:{(63,1),(66,1),(69,1),(95,1)}
        81:{1,2,5,7}:{(64,1),(67,1),(70,1),(96,1)}
        82:{3,5,7}:{(65,1),(68,1),(71,1),(97,1)}
        83:{2,3,5,6}:{(66,1),(68,1),(73,1),(95,1),(99,1),(108,1)}
        84:{1,3,5,6}:{(67,1),(68,1),(74,1),(96,1),(100,1),(109,1)}
        85:{3,4,6}:{(68,1),(97,1),(99,1),(100,1),(101,1)}
        86:{2,3,6,7}:{(69,1),(71,1),(73,1),(95,1)}
        87:{1,3,6,7}:{(70,1),(71,1),(74,1),(96,1)}
        88:{3,4,6,7}:{(71,1),(72,1),(75,1),(97,1),(105,1),(125,1)}
        89:{1,2,4,5,7}:{(72,1),(76,1),(105,1),(106,1),(123,1),(124,1),(128,1)}
        90:{1,2,3,6}:{(73,1),(74,1),(77,1),(107,1)}
        91:{2,3,4,6}:{(73,1),(75,1),(78,1),(99,1),(107,1),(108,1),(126,1)}
        92:{1,3,4,6}:{(74,1),(75,1),(79,1),(100,1),(107,1),(109,1),(126,1)}
        93:{3,5}:{(75,1),(76,1)}
        94:{1,2,4,7}:{(77,1),(78,1),(79,1),(107,1)}
        95:{2,3,5,7}:{(80,1),(82,1),(83,1),(86,1),(111,1)}
        96:{1,3,5,7}:{(81,1),(82,1),(84,1),(87,1),(112,1)}
        97:{3,4,7}:{(82,1),(85,1),(111,1),(112,1)}
        98:{1,2,3,5,6}:{(83,1),(84,1),(90,1),(110,1),(114,1),(121,1),(135,1),(136,1),(139,1)}
        99:{2,4,6}:{(83,1),(85,1),(111,1),(115,1)}
       100:{1,4,6}:{(84,1),(85,1),(112,1),(116,1)}
       101:{3,4,5}:{(85,1),(93,1),(115,1),(116,1),(135,1)}
       102:{1,2,3,6,7}:{(86,1),(87,1),(90,1),(110,1),(117,1),(139,1)}
       103:{2,3,4,6,7}:{(86,1),(88,1),(91,1),(111,1),(117,1),(118,1),(131,1),(133,1),(139,1)}
       104:{1,3,4,6,7}:{(87,1),(88,1),(92,1),(112,1),(117,1),(119,1),(131,1),(134,1),(139,1)}
       105:{3,5,7}:{(88,1),(89,1),(93,1),(120,1)}
       106:{1,2,4,5,6}:{(89,1),(120,1),(133,1),(134,1),(136,1)}
       107:{1,2,4,6}:{(90,1),(91,1),(92,1),(94,1),(121,1)}
       108:{2,3,5}:{(91,1),(93,1),(115,1),(121,1),(135,1)}
       109:{1,3,5}:{(92,1),(93,1),(116,1),(121,1),(135,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(102,1),(122,1),(128,1),(137,1)}
       111:{2,4,7}:{(95,1),(97,1),(99,1)}
       112:{1,4,7}:{(96,1),(97,1),(100,1)}
       113:{3,4,5,7}:{(97,1),(101,1),(105,1),(123,1),(124,1),(125,1),(137,1)}
       114:{1,2,4,6}:{(98,1),(99,1),(100,1),(122,1),(126,1),(127,1)}
       115:{2,4,5}:{(99,1),(101,1),(108,1)}
       116:{1,4,5}:{(100,1),(101,1),(109,1)}
       117:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(107,1),(122,1),(128,1),(138,1)}
       118:{2,3,5,7}:{(103,1),(105,1),(108,1),(123,1),(128,1),(129,1),(137,1)}
       119:{1,3,5,7}:{(104,1),(105,1),(109,1),(124,1),(128,1),(130,1),(137,1)}
       120:{3,5,6}:{(105,1),(106,1),(125,1)}
       121:{1,2,5}:{(107,1),(108,1),(109,1)}
       122:{1,2,4,7}:{(110,1),(111,1),(112,1),(114,1),(131,1)}
       123:{2,4,5,7}:{(111,1),(113,1),(115,1),(118,1),(133,1)}
       124:{1,4,5,7}:{(112,1),(113,1),(116,1),(119,1),(134,1)}
       125:{3,4,6}:{(113,1),(120,1),(133,1),(134,1),(139,1)}
       126:{3,4,6}:{(114,1),(131,1),(135,1),(139,1)}
       127:{1,2,4,5}:{(114,1),(115,1),(116,1),(121,1),(135,1)}
       128:{1,2,5,7}:{(117,1),(118,1),(119,1),(121,1),(136,1)}
       129:{2,3,5,6}:{(118,1),(120,1),(133,1),(136,1),(139,1)}
       130:{1,3,5,6}:{(119,1),(120,1),(134,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(126,1),(137,1)}
       132:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(127,1),(128,1),(137,1),(138,1)}
       133:{2,4,6}:{(123,1),(125,1),(129,1)}
       134:{1,4,6}:{(124,1),(125,1),(130,1)}
       135:{3,5}:{(126,1),(127,1)}
       136:{1,2,5,6}:{(128,1),(129,1),(130,1),(138,1)}
       137:{3,5,7}:{(131,1),(132,1),(135,1),(139,1)}
       138:{1,2,4,6}:{(132,1),(133,1),(134,1),(136,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1599 :   0:{1,2,3,6,7}:{(2,1),(3,1),(45,1),(82,1),(83,1),(84,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(13,1),(14,1),(17,1),(45,1),(47,1),(48,1),(49,1),(82,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(23,1),(26,1),(63,1),(68,1),(69,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(27,1),(93,1),(94,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(60,1),(61,1)}
         5:{3,4,6,7}:{(3,1),(10,1),(11,1),(36,1),(45,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(11,1),(80,1),(81,1)}
         7:{1,2,5,7}:{(3,1),(10,1),(13,1),(100,1),(101,1)}
         8:{3,4,6}:{(4,1),(11,1),(17,1),(45,1)}
         9:{1,2,4,5}:{(4,1),(17,1),(39,1),(40,1),(47,1)}
        10:{3,5,7}:{(5,1),(7,1),(19,1),(20,1)}
        11:{3,4,7}:{(6,1),(8,1),(26,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(19,1),(26,1),(27,1),(54,1),(55,1),(63,1)}
        13:{1,2,5,6}:{(7,1),(20,1),(27,1),(88,1),(89,1)}
        14:{1,2,3,6}:{(21,1),(23,1),(29,1),(95,1)}
        15:{2,3,4,6}:{(8,1),(24,1),(29,1),(30,1),(58,1),(60,1),(64,1),(86,1),(95,1)}
        16:{1,3,4,6}:{(8,1),(25,1),(29,1),(31,1),(58,1),(61,1),(65,1),(86,1),(95,1)}
        17:{3,5}:{(8,1),(9,1)}
        18:{1,2,4,5,6}:{(9,1),(27,1),(32,1),(33,1),(52,1),(60,1),(61,1),(67,1),(88,1),(89,1)}
        19:{4,5,7}:{(10,1),(36,1)}
        20:{3,5,6}:{(10,1),(13,1),(36,1),(45,1)}
        21:{1,2,3,5}:{(14,1),(38,1),(47,1),(78,1)}
        22:{3,4,5}:{(17,1),(39,1),(40,1),(41,1),(78,1)}
        23:{1,2,3,7}:{(14,1),(42,1),(104,1)}
        24:{2,3,4,7}:{(11,1),(15,1),(42,1),(43,1),(73,1),(80,1),(104,1)}
        25:{1,3,4,7}:{(11,1),(16,1),(42,1),(44,1),(73,1),(81,1),(104,1)}
        26:{3,5,7}:{(11,1),(12,1),(17,1),(45,1)}
        27:{1,2,4,6}:{(12,1),(13,1),(36,1),(45,1),(75,1),(76,1),(82,1)}
        28:{1,2,5,6,7}:{(13,1),(37,1),(46,1),(100,1),(101,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(16,1),(38,1),(42,1),(47,1),(82,1)}
        30:{2,3,5}:{(15,1),(17,1),(39,1),(47,1),(78,1),(98,1)}
        31:{1,3,5}:{(16,1),(17,1),(40,1),(47,1),(78,1),(98,1)}
        32:{3,5,6}:{(17,1),(18,1),(41,1),(45,1),(50,1)}
        33:{1,2,4,5,7}:{(18,1),(46,1),(50,1),(72,1),(80,1),(81,1),(85,1),(100,1),(101,1)}
        34:{1,2,3,5,7}:{(21,1),(23,1),(51,1),(53,1),(63,1),(87,1),(91,1)}
        35:{3,4,5,7}:{(19,1),(22,1),(26,1),(54,1),(55,1),(56,1),(62,1),(90,1),(91,1),(105,1),(111,1)}
        36:{4,6}:{(19,1),(20,1)}
        37:{3,5,6,7}:{(20,1),(28,1),(57,1),(66,1),(90,1)}
        38:{1,2,4}:{(21,1),(58,1)}
        39:{2,4,5}:{(22,1),(30,1),(60,1),(105,1)}
        40:{1,4,5}:{(22,1),(31,1),(61,1),(105,1)}
        41:{3,4,6}:{(22,1),(32,1),(60,1),(61,1),(62,1),(95,1)}
        42:{1,2,4,7}:{(23,1),(24,1),(25,1),(29,1),(63,1)}
        43:{2,3,5,7}:{(24,1),(26,1),(30,1),(54,1),(63,1),(64,1),(91,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(31,1),(55,1),(63,1),(65,1),(91,1)}
        45:{3,6}:{(26,1),(27,1)}
        46:{1,2,4,6,7}:{(27,1),(28,1),(33,1),(57,1),(66,1),(93,1),(94,1),(97,1)}
        47:{1,2,5}:{(29,1),(30,1),(31,1)}
        48:{2,3,5,6}:{(30,1),(32,1),(60,1),(64,1),(67,1),(68,1),(88,1),(95,1),(106,1)}
        49:{1,3,5,6}:{(31,1),(32,1),(61,1),(65,1),(67,1),(69,1),(89,1),(95,1),(106,1)}
        50:{3,5,7}:{(32,1),(33,1),(62,1),(66,1)}
        51:{1,2,3,6}:{(34,1),(70,1),(82,1),(102,1)}
        52:{4,5,6}:{(36,1),(71,1),(72,1),(109,1)}
        53:{1,2,4,7}:{(34,1),(38,1),(70,1),(73,1)}
        54:{2,4,5,7}:{(35,1),(39,1),(43,1),(75,1),(80,1),(100,1)}
        55:{1,4,5,7}:{(35,1),(40,1),(44,1),(76,1),(81,1),(101,1)}
        56:{3,4,6}:{(35,1),(36,1),(45,1),(71,1),(75,1),(76,1),(102,1),(109,1)}
        57:{4,6,7}:{(36,1),(37,1),(72,1)}
        58:{3,4}:{(38,1),(78,1)}
        59:{1,2,4,5}:{(38,1),(39,1),(40,1),(47,1),(78,1),(79,1)}
        60:{2,4,6}:{(39,1),(41,1),(48,1),(80,1),(109,1)}
        61:{1,4,6}:{(40,1),(41,1),(49,1),(81,1),(109,1)}
        62:{3,4,7}:{(41,1),(50,1),(80,1),(81,1),(104,1)}
        63:{1,2,5,7}:{(42,1),(43,1),(44,1),(47,1),(82,1)}
        64:{2,3,6}:{(43,1),(45,1),(75,1),(82,1),(102,1)}
        65:{1,3,6}:{(44,1),(45,1),(76,1),(82,1),(102,1)}
        66:{3,6,7}:{(45,1),(46,1),(50,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(49,1),(79,1),(82,1),(85,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(80,1),(83,1),(85,1),(100,1),(104,1),(110,1)}
        69:{1,3,5,7}:{(49,1),(50,1),(81,1),(84,1),(85,1),(101,1),(104,1),(110,1)}
        70:{1,2,4,6}:{(51,1),(53,1),(86,1),(87,1)}
        71:{3,5,6}:{(52,1),(56,1),(88,1),(89,1),(90,1)}
        72:{4,5,7}:{(52,1),(57,1),(90,1),(111,1)}
        73:{3,4,7}:{(53,1),(58,1),(86,1),(91,1),(111,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(59,1),(63,1),(87,1),(91,1),(92,1),(96,1),(105,1),(107,1),(111,1)}
        75:{2,4,6}:{(54,1),(56,1),(64,1),(88,1)}
        76:{1,4,6}:{(55,1),(56,1),(65,1),(89,1)}
        77:{3,4,6,7}:{(56,1),(57,1),(62,1),(66,1),(90,1),(93,1),(94,1),(108,1),(111,1)}
        78:{3,5}:{(58,1),(59,1),(95,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(67,1),(95,1),(96,1)}
        80:{2,4,7}:{(60,1),(62,1),(68,1),(111,1)}
        81:{1,4,7}:{(61,1),(62,1),(69,1),(111,1)}
        82:{1,2,6}:{(63,1),(64,1),(65,1)}
        83:{2,3,6,7}:{(64,1),(66,1),(68,1),(93,1),(97,1),(108,1)}
        84:{1,3,6,7}:{(65,1),(66,1),(69,1),(94,1),(97,1),(108,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(96,1),(97,1)}
        86:{3,4,6}:{(70,1),(73,1),(98,1),(102,1),(109,1)}
        87:{1,2,5}:{(70,1),(98,1)}
        88:{2,5,6}:{(71,1),(75,1),(100,1)}
        89:{1,5,6}:{(71,1),(76,1),(101,1)}
        90:{3,5,7}:{(71,1),(72,1),(77,1),(100,1),(101,1)}
        91:{3,5,7}:{(73,1),(74,1),(78,1),(98,1),(102,1),(104,1)}
        92:{1,2,4,6}:{(74,1),(75,1),(76,1),(82,1),(99,1),(102,1),(109,1)}
        93:{2,4,6,7}:{(75,1),(77,1),(80,1),(83,1),(100,1)}
        94:{1,4,6,7}:{(76,1),(77,1),(81,1),(84,1),(101,1)}
        95:{3,6}:{(78,1),(79,1),(104,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(85,1),(104,1)}
        97:{1,2,6,7}:{(82,1),(83,1),(84,1),(85,1)}
        98:{3,5}:{(86,1),(87,1),(105,1)}
        99:{1,2,5,6}:{(87,1),(88,1),(89,1),(92,1),(106,1),(107,1)}
       100:{2,5,7}:{(88,1),(90,1),(93,1)}
       101:{1,5,7}:{(89,1),(90,1),(94,1)}
       102:{3,6}:{(91,1),(92,1)}
       103:{1,2,4,6,7}:{(92,1),(93,1),(94,1),(96,1),(97,1),(107,1),(108,1),(111,1)}
       104:{3,7}:{(95,1),(96,1)}
       105:{4,5}:{(98,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(102,1),(109,1),(110,1)}
       107:{1,2,5,7}:{(99,1),(100,1),(101,1),(103,1),(110,1)}
       108:{3,6,7}:{(102,1),(103,1),(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1600 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(29,1),(191,1),(198,1),(220,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(79,1),(84,1),(150,1)}
         2:{3,4,5,7}:{(0,1),(11,1),(12,1),(13,1),(50,1),(174,1)}
         3:{1,4,5,6}:{(0,1),(9,1),(12,1),(204,1),(225,1)}
         4:{2,4,5,6}:{(0,1),(8,1),(13,1),(178,1),(214,1)}
         5:{2,3,4,6}:{(1,1),(8,1),(16,1),(17,1),(51,1)}
         6:{1,2,4,5}:{(1,1),(17,1),(18,1),(57,1),(106,1),(119,1)}
         7:{1,3,4,5}:{(19,1),(20,1),(79,1),(125,1),(185,1)}
         8:{2,3,5,6}:{(4,1),(5,1),(21,1),(22,1),(29,1),(150,1),(201,1)}
         9:{1,3,5,6}:{(3,1),(19,1),(23,1),(24,1),(29,1),(185,1),(217,1)}
        10:{4,5,6,7}:{(25,1),(143,1),(230,1)}
        11:{3,4,6,7}:{(2,1),(25,1),(26,1),(27,1),(77,1),(143,1),(220,1)}
        12:{1,4,5,7}:{(2,1),(3,1),(23,1),(26,1)}
        13:{2,4,5,7}:{(2,1),(4,1),(21,1),(27,1)}
        14:{1,2,4,5,6}:{(3,1),(4,1),(22,1),(24,1),(28,1),(29,1),(72,1),(75,1),(138,1),(195,1),(196,1),(197,1),(198,1)}
        15:{1,3,4,5}:{(30,1),(31,1),(35,1),(88,1),(191,1)}
        16:{2,3,4,7}:{(5,1),(21,1),(33,1),(78,1)}
        17:{1,2,4,6}:{(5,1),(6,1),(22,1),(33,1),(34,1),(72,1)}
        18:{1,3,5}:{(6,1),(34,1),(35,1)}
        19:{1,3,4,6}:{(7,1),(9,1),(37,1),(38,1),(51,1)}
        20:{1,2,4,5}:{(7,1),(38,1),(39,1),(94,1),(109,1),(159,1)}
        21:{2,3,5,7}:{(8,1),(13,1),(16,1),(41,1),(42,1),(50,1)}
        22:{1,2,5,6}:{(8,1),(17,1),(42,1),(43,1),(119,1),(180,1)}
        23:{1,3,5,7}:{(9,1),(12,1),(37,1),(44,1),(45,1),(50,1)}
        24:{1,2,5,6}:{(9,1),(38,1),(45,1),(46,1),(159,1),(206,1)}
        25:{3,5,6,7}:{(10,1),(11,1),(47,1),(48,1),(227,1)}
        26:{1,4,6,7}:{(11,1),(12,1),(44,1),(47,1),(225,1)}
        27:{2,4,6,7}:{(11,1),(13,1),(41,1),(48,1),(214,1)}
        28:{1,2,4,5,7}:{(12,1),(13,1),(14,1),(42,1),(45,1),(49,1),(50,1),(105,1),(108,1),(170,1),(172,1),(174,1)}
        29:{3,5,6}:{(14,1),(50,1),(51,1),(167,1),(211,1)}
        30:{1,3,4,6}:{(15,1),(52,1),(53,1),(54,1),(165,1)}
        31:{1,2,4,5}:{(15,1),(54,1),(55,1),(57,1),(119,1),(178,1)}
        32:{1,2,3,5}:{(18,1),(55,1),(56,1),(57,1),(119,1)}
        33:{1,2,4,7}:{(16,1),(17,1),(42,1),(58,1),(105,1)}
        34:{1,3,6}:{(17,1),(18,1),(58,1)}
        35:{1,3,4}:{(18,1),(57,1)}
        36:{2,3,4,5}:{(60,1),(61,1),(65,1),(129,1),(191,1)}
        37:{1,3,4,7}:{(19,1),(23,1),(63,1),(78,1)}
        38:{1,2,4,6}:{(19,1),(20,1),(24,1),(63,1),(64,1),(75,1)}
        39:{2,3,5}:{(20,1),(64,1),(65,1)}
        40:{3,4,5,6}:{(66,1),(67,1),(68,1),(79,1),(134,1),(145,1),(230,1)}
        41:{2,3,6,7}:{(21,1),(27,1),(70,1),(77,1),(201,1)}
        42:{1,2,5,7}:{(21,1),(22,1),(33,1),(70,1),(71,1)}
        43:{1,3,5,6}:{(22,1),(29,1),(34,1),(71,1),(72,1),(88,1),(152,1),(196,1)}
        44:{1,3,6,7}:{(23,1),(26,1),(73,1),(77,1),(217,1)}
        45:{1,2,5,7}:{(23,1),(24,1),(63,1),(73,1),(74,1)}
        46:{2,3,5,6}:{(24,1),(29,1),(64,1),(74,1),(75,1),(129,1),(187,1),(197,1)}
        47:{1,5,6,7}:{(25,1),(26,1),(229,1)}
        48:{2,5,6,7}:{(25,1),(27,1),(223,1)}
        49:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(70,1),(73,1),(76,1),(77,1),(139,1),(141,1),(143,1),(195,1)}
        50:{3,5,7}:{(28,1),(29,1),(77,1),(78,1)}
        51:{3,4,6}:{(29,1),(72,1),(75,1),(78,1),(79,1)}
        52:{1,3,5,6}:{(30,1),(67,1),(80,1),(81,1),(88,1),(134,1),(152,1)}
        53:{1,3,4,7}:{(30,1),(80,1),(82,1),(190,1)}
        54:{1,2,4,6}:{(30,1),(31,1),(81,1),(82,1),(83,1),(148,1)}
        55:{2,3,5}:{(31,1),(83,1),(84,1)}
        56:{1,2,3,6}:{(32,1),(34,1),(83,1),(85,1),(86,1)}
        57:{1,2,4}:{(32,1),(35,1),(84,1)}
        58:{1,3,7}:{(33,1),(34,1)}
        59:{1,3,4,6}:{(34,1),(35,1),(72,1),(86,1),(87,1),(88,1),(135,1),(152,1)}
        60:{2,3,4,6}:{(36,1),(89,1),(90,1),(91,1),(165,1)}
        61:{1,2,4,5}:{(36,1),(91,1),(92,1),(94,1),(159,1),(204,1)}
        62:{1,2,3,5}:{(39,1),(92,1),(93,1),(94,1),(159,1)}
        63:{1,2,4,7}:{(37,1),(38,1),(45,1),(95,1),(108,1)}
        64:{2,3,6}:{(38,1),(39,1),(95,1)}
        65:{2,3,4}:{(39,1),(94,1)}
        66:{3,4,5,7}:{(40,1),(98,1),(99,1),(100,1),(164,1),(226,1)}
        67:{1,4,5,6}:{(40,1),(52,1),(99,1),(106,1),(171,1)}
        68:{2,4,5,6}:{(40,1),(89,1),(100,1),(109,1),(173,1)}
        69:{1,2,3,5,6}:{(43,1),(46,1),(56,1),(93,1),(102,1),(103,1),(115,1),(119,1),(155,1),(159,1),(167,1),(180,1),(206,1),(211,1),(212,1)}
        70:{1,2,6,7}:{(41,1),(42,1),(104,1),(180,1)}
        71:{1,3,5,7}:{(42,1),(43,1),(50,1),(58,1),(104,1),(105,1),(170,1)}
        72:{1,4,6}:{(43,1),(51,1),(105,1),(106,1)}
        73:{1,2,6,7}:{(44,1),(45,1),(107,1),(206,1)}
        74:{2,3,5,7}:{(45,1),(46,1),(50,1),(95,1),(107,1),(108,1),(172,1)}
        75:{2,4,6}:{(46,1),(51,1),(108,1),(109,1)}
        76:{1,2,5,6,7}:{(47,1),(48,1),(49,1),(110,1),(170,1),(172,1),(212,1)}
        77:{3,6,7}:{(49,1),(50,1),(211,1)}
        78:{3,4,7}:{(50,1),(51,1),(105,1),(108,1)}
        79:{3,4,5}:{(51,1),(106,1),(109,1),(167,1)}
        80:{1,3,5,7}:{(52,1),(53,1),(99,1),(113,1),(114,1),(164,1)}
        81:{1,2,5,6}:{(52,1),(54,1),(114,1),(115,1),(119,1),(180,1)}
        82:{1,2,4,7}:{(53,1),(54,1),(114,1),(116,1),(177,1)}
        83:{2,3,6}:{(54,1),(55,1),(116,1)}
        84:{2,3,4}:{(55,1),(57,1)}
        85:{1,2,3,7}:{(56,1),(58,1),(116,1),(118,1)}
        86:{1,2,4,6}:{(56,1),(57,1),(59,1),(117,1),(118,1),(119,1),(180,1)}
        87:{1,3,4,7}:{(58,1),(59,1),(105,1),(118,1),(120,1),(166,1)}
        88:{1,3,5}:{(59,1),(106,1),(119,1),(167,1)}
        89:{2,3,5,6}:{(60,1),(68,1),(121,1),(122,1),(129,1),(134,1),(187,1)}
        90:{2,3,4,7}:{(60,1),(121,1),(123,1),(190,1)}
        91:{1,2,4,6}:{(60,1),(61,1),(122,1),(123,1),(124,1),(183,1)}
        92:{1,3,5}:{(61,1),(124,1),(125,1)}
        93:{1,2,3,6}:{(62,1),(64,1),(124,1),(126,1),(127,1)}
        94:{1,2,4}:{(62,1),(65,1),(125,1)}
        95:{2,3,7}:{(63,1),(64,1)}
        96:{2,3,4,6}:{(64,1),(65,1),(75,1),(127,1),(128,1),(129,1),(135,1),(187,1)}
        97:{4,5,6,7}:{(130,1),(198,1),(218,1)}
        98:{3,4,6,7}:{(66,1),(130,1),(131,1),(132,1),(145,1),(189,1),(218,1)}
        99:{1,4,5,7}:{(66,1),(67,1),(80,1),(131,1)}
       100:{2,4,5,7}:{(66,1),(68,1),(121,1),(132,1)}
       101:{1,2,4,5,6}:{(67,1),(68,1),(81,1),(122,1),(133,1),(134,1),(138,1),(148,1),(183,1),(195,1),(223,1),(229,1),(230,1)}
       102:{1,2,3,5,7}:{(69,1),(71,1),(74,1),(85,1),(126,1),(136,1),(137,1),(147,1),(151,1),(182,1),(186,1),(193,1),(194,1)}
       103:{1,2,4,6}:{(69,1),(72,1),(75,1),(135,1),(137,1),(138,1),(148,1),(183,1)}
       104:{1,3,6,7}:{(70,1),(71,1),(77,1),(139,1),(152,1)}
       105:{1,4,7}:{(71,1),(72,1),(78,1)}
       106:{1,4,5}:{(72,1),(79,1),(88,1)}
       107:{2,3,6,7}:{(73,1),(74,1),(77,1),(141,1),(187,1)}
       108:{2,4,7}:{(74,1),(75,1),(78,1)}
       109:{2,4,5}:{(75,1),(79,1),(129,1)}
       110:{3,5,6,7}:{(76,1),(77,1),(143,1),(144,1),(222,1)}
       111:{3,4,6,7}:{(77,1),(78,1),(139,1),(141,1),(143,1),(144,1),(145,1)}
       112:{3,4,5,7}:{(78,1),(79,1),(140,1),(142,1),(144,1),(145,1),(193,1),(221,1)}
       113:{1,3,6,7}:{(80,1),(131,1),(146,1),(152,1),(189,1)}
       114:{1,2,5,7}:{(80,1),(81,1),(82,1),(146,1),(147,1)}
       115:{2,3,5,6}:{(81,1),(83,1),(134,1),(147,1),(148,1),(150,1),(201,1),(223,1)}
       116:{2,3,7}:{(82,1),(83,1)}
       117:{2,3,4,6}:{(83,1),(84,1),(86,1),(135,1),(148,1),(149,1),(150,1),(201,1)}
       118:{1,2,4,7}:{(85,1),(86,1),(87,1),(149,1),(151,1)}
       119:{1,2,5}:{(86,1),(88,1),(150,1)}
       120:{1,3,5,7}:{(87,1),(88,1),(140,1),(151,1),(152,1),(193,1)}
       121:{2,3,5,7}:{(89,1),(90,1),(100,1),(153,1),(154,1),(164,1)}
       122:{1,2,5,6}:{(89,1),(91,1),(154,1),(155,1),(159,1),(206,1)}
       123:{1,2,4,7}:{(90,1),(91,1),(154,1),(156,1),(203,1)}
       124:{1,3,6}:{(91,1),(92,1),(156,1)}
       125:{1,3,4}:{(92,1),(94,1)}
       126:{1,2,3,7}:{(93,1),(95,1),(156,1),(158,1)}
       127:{1,2,4,6}:{(93,1),(94,1),(96,1),(157,1),(158,1),(159,1),(206,1)}
       128:{2,3,4,7}:{(95,1),(96,1),(108,1),(158,1),(160,1),(166,1)}
       129:{2,3,5}:{(96,1),(109,1),(159,1),(167,1)}
       130:{3,5,6,7}:{(97,1),(98,1),(161,1),(162,1),(175,1)}
       131:{1,4,6,7}:{(98,1),(99,1),(113,1),(161,1),(171,1)}
       132:{2,4,6,7}:{(98,1),(100,1),(153,1),(162,1),(173,1)}
       133:{1,2,4,5,7}:{(99,1),(100,1),(101,1),(114,1),(154,1),(163,1),(164,1),(177,1),(203,1),(213,1),(224,1),(226,1)}
       134:{3,5,6}:{(101,1),(164,1),(165,1),(167,1),(211,1)}
       135:{3,4,6}:{(103,1),(166,1),(167,1),(211,1)}
       136:{1,2,3,6,7}:{(102,1),(104,1),(107,1),(168,1),(176,1),(180,1),(202,1),(206,1),(211,1)}
       137:{1,2,4,7}:{(102,1),(103,1),(105,1),(108,1),(166,1),(177,1),(203,1)}
       138:{1,2,4,5}:{(103,1),(106,1),(109,1),(119,1),(159,1),(167,1),(178,1),(204,1)}
       139:{1,4,6,7}:{(104,1),(105,1),(111,1),(170,1),(171,1)}
       140:{1,4,5,7}:{(105,1),(106,1),(112,1),(120,1),(170,1),(171,1)}
       141:{2,4,6,7}:{(107,1),(108,1),(111,1),(172,1),(173,1)}
       142:{2,4,5,7}:{(108,1),(109,1),(112,1),(160,1),(172,1),(173,1)}
       143:{4,6,7}:{(110,1),(174,1),(228,1)}
       144:{3,5,7}:{(111,1),(170,1),(172,1),(174,1),(175,1)}
       145:{3,4,6}:{(112,1),(171,1),(173,1),(175,1),(211,1),(228,1)}
       146:{1,2,6,7}:{(113,1),(114,1),(176,1),(180,1)}
       147:{2,3,5,7}:{(114,1),(115,1),(116,1),(164,1),(176,1),(177,1),(213,1)}
       148:{2,4,6}:{(115,1),(165,1),(177,1),(178,1)}
       149:{2,3,4,7}:{(116,1),(117,1),(118,1),(166,1),(177,1),(179,1)}
       150:{2,3,5}:{(117,1),(119,1),(167,1),(178,1)}
       151:{1,2,5,7}:{(118,1),(119,1),(120,1),(179,1),(180,1)}
       152:{1,3,6}:{(120,1),(171,1),(180,1),(211,1)}
       153:{2,3,6,7}:{(121,1),(132,1),(181,1),(187,1),(189,1)}
       154:{1,2,5,7}:{(121,1),(122,1),(123,1),(181,1),(182,1)}
       155:{1,3,5,6}:{(122,1),(124,1),(134,1),(182,1),(183,1),(185,1),(217,1),(229,1)}
       156:{1,3,7}:{(123,1),(124,1)}
       157:{1,3,4,6}:{(124,1),(125,1),(127,1),(135,1),(183,1),(184,1),(185,1),(217,1)}
       158:{1,2,4,7}:{(126,1),(127,1),(128,1),(184,1),(186,1)}
       159:{1,2,5}:{(127,1),(129,1),(185,1)}
       160:{2,3,5,7}:{(128,1),(129,1),(142,1),(186,1),(187,1),(193,1)}
       161:{1,5,6,7}:{(130,1),(131,1),(196,1)}
       162:{2,5,6,7}:{(130,1),(132,1),(197,1)}
       163:{1,2,4,6,7}:{(131,1),(132,1),(133,1),(146,1),(181,1),(188,1),(189,1),(195,1),(199,1),(215,1),(218,1)}
       164:{3,5,7}:{(133,1),(134,1),(189,1),(190,1)}
       165:{3,4,6}:{(134,1),(148,1),(183,1),(190,1),(191,1)}
       166:{3,4,7}:{(135,1),(137,1),(193,1)}
       167:{3,5}:{(135,1),(138,1)}
       168:{1,2,4,6,7}:{(136,1),(137,1),(139,1),(141,1),(192,1),(194,1),(195,1),(199,1),(215,1)}
       169:{1,2,4,5,7}:{(137,1),(138,1),(140,1),(142,1),(151,1),(186,1),(193,1),(194,1),(195,1),(200,1),(216,1),(221,1)}
       170:{1,5,7}:{(139,1),(144,1),(196,1)}
       171:{1,4,6}:{(140,1),(145,1),(152,1),(196,1)}
       172:{2,5,7}:{(141,1),(144,1),(197,1)}
       173:{2,4,6}:{(142,1),(145,1),(187,1),(197,1)}
       174:{4,5,7}:{(143,1),(144,1),(198,1)}
       175:{3,5,6}:{(144,1),(145,1),(196,1),(197,1),(198,1)}
       176:{2,3,6,7}:{(146,1),(147,1),(189,1),(199,1),(201,1)}
       177:{2,4,7}:{(147,1),(148,1),(190,1)}
       178:{2,4,5}:{(148,1),(150,1),(191,1)}
       179:{2,3,5,7}:{(149,1),(150,1),(151,1),(193,1),(200,1),(201,1)}
       180:{1,2,6}:{(151,1),(152,1),(201,1)}
       181:{1,2,6,7}:{(153,1),(154,1),(202,1),(206,1)}
       182:{1,3,5,7}:{(154,1),(155,1),(156,1),(164,1),(202,1),(203,1),(224,1)}
       183:{1,4,6}:{(155,1),(165,1),(203,1),(204,1)}
       184:{1,3,4,7}:{(156,1),(157,1),(158,1),(166,1),(203,1),(205,1)}
       185:{1,3,5}:{(157,1),(159,1),(167,1),(204,1)}
       186:{1,2,5,7}:{(158,1),(159,1),(160,1),(205,1),(206,1)}
       187:{2,3,6}:{(160,1),(173,1),(206,1),(211,1)}
       188:{1,2,5,6,7}:{(161,1),(162,1),(163,1),(207,1),(212,1),(213,1),(224,1)}
       189:{3,6,7}:{(163,1),(164,1),(211,1)}
       190:{3,4,7}:{(164,1),(165,1),(177,1),(203,1)}
       191:{3,4,5}:{(165,1),(167,1),(178,1),(204,1)}
       192:{3,4,6,7}:{(166,1),(168,1),(210,1),(211,1),(228,1)}
       193:{3,5,7}:{(166,1),(167,1),(169,1),(211,1)}
       194:{1,2,5,7}:{(168,1),(170,1),(172,1),(210,1),(212,1),(213,1),(224,1)}
       195:{1,2,4,6}:{(169,1),(171,1),(173,1),(180,1),(206,1),(211,1),(212,1),(214,1),(225,1),(228,1)}
       196:{1,5,6}:{(170,1),(171,1),(175,1)}
       197:{2,5,6}:{(172,1),(173,1),(175,1)}
       198:{4,5,6}:{(174,1),(175,1),(228,1)}
       199:{2,4,6,7}:{(176,1),(177,1),(208,1),(213,1),(214,1)}
       200:{2,4,5,7}:{(177,1),(178,1),(179,1),(209,1),(213,1),(214,1)}
       201:{2,3,6}:{(179,1),(180,1),(211,1),(214,1)}
       202:{1,3,6,7}:{(181,1),(182,1),(189,1),(215,1),(217,1)}
       203:{1,4,7}:{(182,1),(183,1),(190,1)}
       204:{1,4,5}:{(183,1),(185,1),(191,1)}
       205:{1,3,5,7}:{(184,1),(185,1),(186,1),(193,1),(216,1),(217,1)}
       206:{1,2,6}:{(186,1),(187,1),(217,1)}
       207:{3,5,6,7}:{(188,1),(189,1),(218,1),(219,1),(222,1)}
       208:{3,4,6,7}:{(189,1),(190,1),(199,1),(215,1),(218,1),(219,1),(220,1)}
       209:{3,4,5,7}:{(190,1),(191,1),(193,1),(200,1),(216,1),(219,1),(220,1),(221,1)}
       210:{3,5,7}:{(192,1),(194,1),(221,1),(222,1)}
       211:{3,6}:{(193,1),(195,1)}
       212:{1,2,5,6}:{(194,1),(195,1),(196,1),(197,1),(222,1),(223,1),(229,1)}
       213:{2,5,7}:{(199,1),(219,1),(223,1)}
       214:{2,4,6}:{(200,1),(201,1),(220,1),(223,1)}
       215:{1,4,6,7}:{(202,1),(203,1),(208,1),(224,1),(225,1)}
       216:{1,4,5,7}:{(203,1),(204,1),(205,1),(209,1),(224,1),(225,1)}
       217:{1,3,6}:{(205,1),(206,1),(211,1),(225,1)}
       218:{4,6,7}:{(207,1),(226,1),(228,1)}
       219:{3,5,7}:{(208,1),(213,1),(224,1),(226,1),(227,1)}
       220:{3,4,6}:{(209,1),(211,1),(214,1),(225,1),(227,1),(228,1)}
       221:{4,5,7}:{(210,1),(228,1)}
       222:{3,5,6}:{(210,1),(211,1),(212,1),(228,1)}
       223:{2,5,6}:{(213,1),(214,1),(227,1)}
       224:{1,5,7}:{(215,1),(219,1),(229,1)}
       225:{1,4,6}:{(216,1),(217,1),(220,1),(229,1)}
       226:{4,5,7}:{(218,1),(219,1),(230,1)}
       227:{3,5,6}:{(219,1),(220,1),(223,1),(229,1),(230,1)}
       228:{4,6}:{(221,1),(222,1)}
       229:{1,5,6}:{(224,1),(225,1),(227,1)}
       230:{4,5,6}:{(226,1),(227,1),(228,1)}

1601 :   0:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(27,1),(29,1),(50,1),(66,1)}
         1:{2,3,5,6,7}:{(4,1),(6,1),(16,1),(28,1),(29,1),(56,1),(67,1)}
         2:{2,3,4,6,7}:{(7,1),(8,1),(15,1),(33,1),(49,1),(70,1),(72,1),(85,1),(108,1),(113,1),(119,1)}
         3:{1,3,4,6,7}:{(9,1),(10,1),(14,1),(38,1),(48,1),(76,1),(78,1),(84,1),(107,1),(112,1),(119,1)}
         4:{1,2,5,6,7}:{(0,1),(1,1),(13,1),(32,1),(37,1),(46,1),(47,1),(86,1)}
         5:{1,4,6,7}:{(0,1),(11,1),(14,1),(38,1),(69,1),(84,1)}
         6:{2,4,6,7}:{(1,1),(12,1),(15,1),(33,1),(75,1),(85,1)}
         7:{1,2,4,6,7}:{(2,1),(17,1),(18,1),(31,1),(51,1),(53,1),(68,1),(105,1),(126,1)}
         8:{2,3,5,7}:{(2,1),(16,1),(18,1),(19,1),(28,1),(54,1),(121,1),(125,1)}
         9:{1,2,4,6,7}:{(3,1),(21,1),(22,1),(30,1),(57,1),(59,1),(68,1),(105,1),(122,1)}
        10:{1,3,5,7}:{(3,1),(20,1),(22,1),(23,1),(27,1),(60,1),(120,1),(124,1)}
        11:{1,4,5,7}:{(5,1),(24,1),(27,1),(87,1)}
        12:{2,4,5,7}:{(6,1),(25,1),(28,1),(94,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(26,1),(29,1),(30,1),(31,1),(51,1),(57,1),(68,1),(105,1)}
        14:{3,4,6,7}:{(5,1),(27,1),(29,1),(30,1),(58,1),(65,1),(88,1)}
        15:{3,4,6,7}:{(6,1),(28,1),(29,1),(31,1),(52,1),(65,1),(95,1)}
        16:{2,3,5,6}:{(8,1),(32,1),(33,1),(44,1),(70,1)}
        17:{1,3,6,7}:{(7,1),(34,1),(70,1),(119,1),(133,1)}
        18:{1,2,5,7}:{(7,1),(8,1),(32,1),(34,1),(47,1),(132,1)}
        19:{2,4,5,7}:{(8,1),(33,1),(36,1),(85,1),(117,1)}
        20:{1,3,5,6}:{(10,1),(37,1),(38,1),(43,1),(76,1)}
        21:{2,3,6,7}:{(9,1),(39,1),(76,1),(119,1),(131,1)}
        22:{1,2,5,7}:{(9,1),(10,1),(37,1),(39,1),(46,1),(130,1)}
        23:{1,4,5,7}:{(10,1),(38,1),(41,1),(84,1),(116,1)}
        24:{1,4,5,6}:{(11,1),(38,1),(43,1)}
        25:{2,4,5,6}:{(12,1),(33,1),(44,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(42,1),(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        27:{3,5,7}:{(11,1),(14,1),(43,1),(46,1),(106,1)}
        28:{3,5,7}:{(12,1),(15,1),(44,1),(47,1),(111,1)}
        29:{3,6,7}:{(13,1),(45,1),(70,1),(76,1),(119,1)}
        30:{2,4,6,7}:{(14,1),(46,1),(49,1),(77,1),(85,1),(108,1)}
        31:{1,4,6,7}:{(15,1),(47,1),(48,1),(71,1),(84,1),(112,1)}
        32:{1,2,5,6}:{(16,1),(18,1),(50,1),(51,1),(64,1),(121,1)}
        33:{2,4,6}:{(16,1),(19,1),(52,1)}
        34:{1,3,5,7}:{(17,1),(18,1),(50,1),(53,1),(54,1),(136,1)}
        35:{1,2,4,5,7}:{(18,1),(19,1),(51,1),(53,1),(54,1),(55,1),(87,1),(92,1),(93,1),(105,1),(121,1),(128,1)}
        36:{3,4,5,7}:{(19,1),(28,1),(52,1),(54,1),(55,1),(65,1),(101,1)}
        37:{1,2,5,6}:{(20,1),(22,1),(56,1),(57,1),(63,1),(124,1)}
        38:{1,4,6}:{(20,1),(23,1),(58,1)}
        39:{2,3,5,7}:{(21,1),(22,1),(56,1),(59,1),(60,1),(135,1)}
        40:{1,2,4,5,7}:{(22,1),(23,1),(57,1),(59,1),(60,1),(61,1),(94,1),(98,1),(100,1),(105,1),(124,1),(128,1)}
        41:{3,4,5,7}:{(23,1),(27,1),(58,1),(60,1),(61,1),(65,1),(101,1)}
        42:{1,2,4,5,6}:{(24,1),(25,1),(26,1),(51,1),(57,1),(62,1),(63,1),(64,1),(87,1),(94,1),(102,1),(103,1),(104,1),(121,1),(124,1),(128,1)}
        43:{3,5,6}:{(24,1),(27,1),(58,1),(63,1)}
        44:{3,5,6}:{(25,1),(28,1),(52,1),(64,1)}
        45:{3,5,7}:{(26,1),(29,1),(62,1),(65,1)}
        46:{2,5,7}:{(27,1),(30,1),(63,1),(121,1)}
        47:{1,5,7}:{(28,1),(31,1),(64,1),(124,1)}
        48:{1,3,6,7}:{(29,1),(31,1),(66,1),(68,1),(89,1),(96,1)}
        49:{2,3,6,7}:{(29,1),(30,1),(67,1),(68,1),(90,1),(97,1)}
        50:{1,3,5,6}:{(32,1),(34,1),(69,1),(70,1),(106,1)}
        51:{1,2,4,6}:{(32,1),(33,1),(35,1),(69,1),(70,1),(71,1),(108,1),(109,1)}
        52:{3,4,6}:{(33,1),(36,1),(44,1),(70,1),(71,1)}
        53:{1,4,7}:{(34,1),(69,1),(72,1),(139,1)}
        54:{3,5,7}:{(35,1),(70,1),(72,1),(106,1),(119,1),(134,1)}
        55:{1,4,5,7}:{(36,1),(47,1),(71,1),(73,1),(84,1),(116,1)}
        56:{2,3,5,6}:{(37,1),(39,1),(75,1),(76,1),(111,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(40,1),(75,1),(76,1),(77,1),(112,1),(114,1)}
        58:{3,4,6}:{(38,1),(41,1),(43,1),(76,1),(77,1)}
        59:{2,4,7}:{(39,1),(75,1),(78,1),(138,1)}
        60:{3,5,7}:{(40,1),(76,1),(78,1),(111,1),(119,1),(134,1)}
        61:{2,4,5,7}:{(41,1),(46,1),(77,1),(80,1),(85,1),(117,1)}
        62:{3,5,6}:{(42,1),(45,1),(70,1),(76,1),(81,1),(106,1),(111,1),(134,1)}
        63:{2,5,6}:{(43,1),(46,1),(77,1)}
        64:{1,5,6}:{(44,1),(47,1),(71,1)}
        65:{3,4,7}:{(45,1),(81,1),(84,1),(85,1),(119,1)}
        66:{1,3,5,7}:{(45,1),(47,1),(48,1),(82,1),(84,1),(86,1),(119,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(49,1),(83,1),(85,1),(86,1),(119,1)}
        68:{1,2,6,7}:{(48,1),(49,1),(86,1),(109,1),(114,1)}
        69:{1,4,6}:{(50,1),(53,1),(87,1),(88,1)}
        70:{3,6}:{(51,1),(54,1)}
        71:{1,4,6}:{(52,1),(55,1),(64,1),(89,1)}
        72:{3,4,7}:{(53,1),(54,1),(88,1),(92,1),(137,1)}
        73:{1,3,5,7}:{(54,1),(55,1),(89,1),(91,1),(93,1),(120,1)}
        74:{2,3,5,7}:{(54,1),(90,1),(92,1),(93,1),(121,1),(123,1),(135,1)}
        75:{2,4,6}:{(56,1),(59,1),(94,1),(95,1)}
        76:{3,6}:{(57,1),(60,1)}
        77:{2,4,6}:{(58,1),(61,1),(63,1),(97,1)}
        78:{3,4,7}:{(59,1),(60,1),(95,1),(98,1),(137,1)}
        79:{1,3,5,7}:{(60,1),(96,1),(98,1),(100,1),(124,1),(127,1),(136,1)}
        80:{2,3,5,7}:{(60,1),(61,1),(97,1),(99,1),(100,1),(125,1)}
        81:{3,4,6}:{(62,1),(65,1),(101,1),(102,1),(103,1),(129,1),(137,1)}
        82:{1,3,5,6}:{(62,1),(64,1),(66,1),(89,1),(96,1),(102,1),(104,1),(120,1),(124,1),(129,1),(136,1)}
        83:{2,3,5,6}:{(62,1),(63,1),(67,1),(90,1),(97,1),(103,1),(104,1),(121,1),(125,1),(129,1),(135,1)}
        84:{1,4,7}:{(65,1),(66,1),(102,1)}
        85:{2,4,7}:{(65,1),(67,1),(103,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(104,1),(105,1)}
        87:{1,4,5}:{(69,1),(106,1)}
        88:{3,4,6}:{(69,1),(70,1),(72,1),(106,1),(108,1)}
        89:{1,3,6}:{(70,1),(71,1),(73,1),(109,1)}
        90:{2,3,6}:{(70,1),(74,1),(108,1),(109,1)}
        91:{1,3,4,7}:{(72,1),(73,1),(84,1),(107,1),(110,1),(119,1)}
        92:{2,4,7}:{(72,1),(74,1),(108,1),(138,1)}
        93:{1,2,5,7}:{(73,1),(74,1),(109,1),(110,1),(130,1)}
        94:{2,4,5}:{(75,1),(111,1)}
        95:{3,4,6}:{(75,1),(76,1),(78,1),(111,1),(112,1)}
        96:{1,3,6}:{(76,1),(79,1),(112,1),(114,1)}
        97:{2,3,6}:{(76,1),(77,1),(80,1),(114,1)}
        98:{1,4,7}:{(78,1),(79,1),(112,1),(139,1)}
        99:{2,3,4,7}:{(78,1),(80,1),(85,1),(113,1),(115,1),(119,1)}
       100:{1,2,5,7}:{(79,1),(80,1),(114,1),(115,1),(132,1)}
       101:{3,4,5}:{(81,1),(106,1),(111,1),(116,1),(117,1),(134,1)}
       102:{1,4,6}:{(81,1),(82,1),(84,1),(116,1),(139,1)}
       103:{2,4,6}:{(81,1),(83,1),(85,1),(117,1),(138,1)}
       104:{1,2,5,6}:{(82,1),(83,1),(86,1),(109,1),(114,1),(118,1),(130,1),(132,1)}
       105:{1,2,4,7}:{(84,1),(85,1),(86,1),(118,1),(119,1)}
       106:{3,5}:{(87,1),(88,1),(121,1)}
       107:{1,3,4,6}:{(88,1),(89,1),(91,1),(102,1),(120,1),(122,1),(129,1),(137,1)}
       108:{2,4,6}:{(88,1),(90,1),(92,1),(121,1)}
       109:{1,2,6}:{(89,1),(90,1),(93,1)}
       110:{1,2,4,7}:{(91,1),(92,1),(93,1),(122,1),(123,1)}
       111:{3,5}:{(94,1),(95,1),(124,1)}
       112:{1,4,6}:{(95,1),(96,1),(98,1),(124,1)}
       113:{2,3,4,6}:{(95,1),(97,1),(99,1),(103,1),(125,1),(126,1),(129,1),(137,1)}
       114:{1,2,6}:{(96,1),(97,1),(100,1)}
       115:{1,2,4,7}:{(98,1),(99,1),(100,1),(126,1),(127,1)}
       116:{1,4,5}:{(101,1),(102,1),(120,1),(124,1)}
       117:{2,4,5}:{(101,1),(103,1),(121,1),(125,1)}
       118:{1,2,4,6}:{(102,1),(103,1),(104,1),(105,1),(128,1),(129,1)}
       119:{3,7}:{(105,1),(129,1)}
       120:{1,3,5}:{(106,1),(107,1),(116,1),(130,1),(134,1)}
       121:{2,5}:{(106,1),(108,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(110,1),(130,1),(131,1),(138,1)}
       123:{2,3,7}:{(110,1),(119,1),(131,1)}
       124:{1,5}:{(111,1),(112,1)}
       125:{2,3,5}:{(111,1),(113,1),(117,1),(132,1),(134,1)}
       126:{1,2,4,6}:{(112,1),(113,1),(114,1),(115,1),(132,1),(133,1),(139,1)}
       127:{1,3,7}:{(115,1),(119,1),(133,1)}
       128:{1,2,4,5}:{(116,1),(117,1),(118,1),(130,1),(132,1),(134,1),(138,1),(139,1)}
       129:{3,6}:{(118,1),(119,1),(134,1)}
       130:{1,2,5}:{(120,1),(121,1),(122,1),(135,1)}
       131:{2,3,6}:{(122,1),(123,1),(129,1),(135,1)}
       132:{1,2,5}:{(124,1),(125,1),(126,1),(136,1)}
       133:{1,3,6}:{(126,1),(127,1),(129,1),(136,1)}
       134:{3,5}:{(128,1),(129,1),(137,1)}
       135:{2,3,5}:{(130,1),(131,1),(134,1),(138,1)}
       136:{1,3,5}:{(132,1),(133,1),(134,1),(139,1)}
       137:{3,4}:{(134,1),(138,1),(139,1)}
       138:{2,4}:{(135,1),(137,1)}
       139:{1,4}:{(136,1),(137,1)}

1602 :   0:{1,2,4,5,6,7}:{(1,1),(8,1),(9,1),(10,1),(19,1),(29,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(35,1),(46,1)}
         2:{1,2,3,5,6,7}:{(6,1),(10,1),(20,1),(30,1),(55,1),(56,1),(57,1),(58,1),(60,1),(62,1),(102,1),(103,1),(147,1),(163,1),(166,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(30,1),(51,1),(64,1)}
         4:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(25,1),(30,1),(55,1),(60,1)}
         5:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(23,1),(30,1),(56,1),(62,1)}
         6:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(73,1),(74,1),(81,1),(83,1),(128,1),(171,1),(173,1)}
         7:{3,4,5,7}:{(3,1),(15,1),(16,1),(17,1),(46,1)}
         8:{1,4,6,7}:{(3,1),(4,1),(16,1),(73,1),(81,1)}
         9:{2,4,6,7}:{(3,1),(5,1),(17,1),(74,1),(83,1)}
        10:{1,2,5,6,7}:{(4,1),(5,1),(18,1),(40,1),(43,1),(78,1)}
        11:{1,2,4,5,7}:{(6,1),(19,1),(20,1),(52,1),(53,1),(57,1),(149,1)}
        12:{3,4,6,7}:{(6,1),(20,1),(30,1),(51,1),(64,1),(147,1),(148,1),(169,1)}
        13:{2,3,4,6,7}:{(9,1),(23,1),(24,1),(30,1),(47,1),(64,1)}
        14:{1,3,4,6,7}:{(8,1),(25,1),(26,1),(30,1),(49,1),(64,1)}
        15:{3,4,5,6}:{(7,1),(27,1),(28,1),(51,1),(63,1),(170,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(25,1),(27,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(23,1),(28,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(29,1),(30,1),(100,1)}
        19:{1,2,4,5,6}:{(11,1),(35,1),(73,1),(74,1),(78,1)}
        20:{3,5,7}:{(11,1),(12,1),(35,1),(162,1)}
        21:{1,3,4,6,7}:{(12,1),(36,1),(38,1),(41,1),(73,1),(81,1),(114,1),(126,1),(127,1),(157,1),(158,1),(173,1)}
        22:{2,3,4,6,7}:{(12,1),(37,1),(38,1),(44,1),(74,1),(83,1),(121,1),(126,1),(127,1),(152,1),(153,1),(171,1)}
        23:{2,3,5,7}:{(13,1),(17,1),(39,1),(40,1),(46,1)}
        24:{1,2,4,6,7}:{(13,1),(40,1),(41,1),(66,1),(81,1)}
        25:{1,3,5,7}:{(14,1),(16,1),(42,1),(43,1),(46,1)}
        26:{1,2,4,6,7}:{(14,1),(43,1),(44,1),(69,1),(83,1)}
        27:{1,4,5,6}:{(15,1),(16,1),(42,1),(73,1),(174,1)}
        28:{2,4,5,6}:{(15,1),(17,1),(39,1),(74,1),(172,1)}
        29:{1,2,4,5,7}:{(16,1),(17,1),(18,1),(40,1),(43,1),(45,1),(46,1),(81,1),(83,1)}
        30:{3,6,7}:{(18,1),(46,1),(126,1)}
        31:{2,3,4,5,7}:{(23,1),(47,1),(48,1),(53,1),(64,1),(101,1),(107,1),(135,1),(165,1)}
        32:{1,3,4,5,7}:{(25,1),(49,1),(50,1),(52,1),(64,1),(101,1),(107,1),(142,1),(168,1)}
        33:{3,4,5,7}:{(20,1),(51,1),(52,1),(53,1),(64,1),(101,1),(107,1),(169,1),(170,1)}
        34:{1,2,4,5,6,7}:{(19,1),(54,1),(98,1),(99,1),(102,1),(145,1)}
        35:{3,5,6}:{(19,1),(20,1),(51,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(52,1),(55,1),(57,1),(101,1),(137,1),(168,1)}
        37:{2,3,5,7}:{(20,1),(22,1),(53,1),(56,1),(57,1),(101,1),(144,1),(165,1)}
        38:{1,2,4,6,7}:{(21,1),(22,1),(57,1),(58,1),(100,1),(104,1),(136,1),(143,1)}
        39:{2,3,5,6}:{(23,1),(28,1),(47,1),(59,1),(63,1),(165,1)}
        40:{1,2,5,7}:{(23,1),(24,1),(59,1),(60,1)}
        41:{1,3,6,7}:{(24,1),(30,1),(60,1),(88,1)}
        42:{1,3,5,6}:{(25,1),(27,1),(49,1),(61,1),(63,1),(168,1)}
        43:{1,2,5,7}:{(25,1),(26,1),(61,1),(62,1)}
        44:{2,3,6,7}:{(26,1),(30,1),(62,1),(93,1)}
        45:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(59,1),(61,1),(63,1),(100,1),(105,1),(106,1),(149,1)}
        46:{3,5,7}:{(29,1),(30,1),(63,1),(64,1)}
        47:{2,3,4,6}:{(31,1),(39,1),(66,1),(74,1),(84,1),(126,1)}
        48:{1,2,4,5,7}:{(31,1),(40,1),(66,1),(67,1),(81,1),(113,1),(129,1),(154,1)}
        49:{1,3,4,6}:{(32,1),(42,1),(69,1),(73,1),(84,1),(126,1)}
        50:{1,2,4,5,7}:{(32,1),(43,1),(69,1),(70,1),(83,1),(120,1),(130,1),(159,1)}
        51:{3,4,6}:{(33,1),(35,1),(73,1),(74,1),(126,1)}
        52:{1,4,5,7}:{(33,1),(36,1),(73,1),(81,1),(129,1),(173,1),(174,1)}
        53:{2,4,5,7}:{(33,1),(37,1),(74,1),(83,1),(130,1),(171,1),(172,1)}
        54:{3,5,6,7}:{(34,1),(35,1),(72,1),(160,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(73,1),(78,1),(126,1)}
        56:{2,3,5,6}:{(35,1),(37,1),(74,1),(78,1),(126,1)}
        57:{1,2,5,7}:{(36,1),(37,1),(38,1),(78,1),(154,1),(159,1)}
        58:{1,2,3,6,7}:{(38,1),(41,1),(44,1),(79,1),(112,1),(119,1),(126,1),(152,1),(157,1)}
        59:{1,2,5,6}:{(39,1),(40,1),(66,1),(80,1),(154,1)}
        60:{1,3,5,7}:{(40,1),(41,1),(46,1),(80,1),(81,1)}
        61:{1,2,5,6}:{(42,1),(43,1),(69,1),(82,1),(159,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(46,1),(82,1),(83,1)}
        63:{3,5,6}:{(45,1),(46,1),(84,1),(126,1),(162,1)}
        64:{3,4,7}:{(46,1),(81,1),(83,1),(84,1)}
        65:{1,3,4,5,7}:{(52,1),(85,1),(86,1),(89,1),(101,1),(131,1),(137,1),(169,1),(170,1)}
        66:{1,2,4,6}:{(47,1),(48,1),(59,1),(88,1),(105,1)}
        67:{1,3,5,7}:{(48,1),(88,1),(89,1),(101,1),(137,1)}
        68:{2,3,4,5,7}:{(53,1),(90,1),(91,1),(94,1),(101,1),(138,1),(144,1),(169,1),(170,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(61,1),(93,1),(106,1)}
        70:{2,3,5,7}:{(50,1),(93,1),(94,1),(101,1),(144,1)}
        71:{3,4,5,6}:{(51,1),(95,1),(96,1),(97,1),(107,1),(146,1)}
        72:{3,4,6,7}:{(51,1),(54,1),(95,1),(98,1),(99,1),(147,1),(169,1)}
        73:{1,4,6}:{(51,1),(52,1),(55,1)}
        74:{2,4,6}:{(51,1),(53,1),(56,1)}
        75:{1,2,4,5,7}:{(52,1),(53,1),(57,1),(100,1),(101,1),(104,1),(149,1)}
        76:{1,3,5,6,7}:{(54,1),(55,1),(98,1),(102,1),(131,1),(147,1),(166,1)}
        77:{2,3,5,6,7}:{(54,1),(56,1),(99,1),(102,1),(138,1),(147,1),(163,1)}
        78:{1,2,5,6}:{(55,1),(56,1),(57,1),(100,1)}
        79:{1,2,3,5,7}:{(57,1),(58,1),(60,1),(62,1),(101,1),(103,1),(104,1),(163,1),(166,1)}
        80:{1,3,5,6}:{(59,1),(60,1),(63,1),(88,1),(105,1),(137,1)}
        81:{1,4,7}:{(60,1),(64,1),(105,1)}
        82:{2,3,5,6}:{(61,1),(62,1),(63,1),(93,1),(106,1),(144,1)}
        83:{2,4,7}:{(62,1),(64,1),(106,1)}
        84:{3,4,6}:{(63,1),(64,1),(105,1),(106,1),(107,1)}
        85:{1,3,4,6}:{(65,1),(73,1),(108,1),(110,1),(126,1),(161,1)}
        86:{1,2,4,5,7}:{(65,1),(110,1),(111,1),(113,1),(150,1),(154,1),(171,1),(172,1)}
        87:{1,2,3,5,7}:{(67,1),(111,1),(112,1),(113,1),(154,1)}
        88:{1,3,6}:{(66,1),(67,1),(126,1)}
        89:{1,3,4,7}:{(67,1),(81,1),(113,1),(114,1),(127,1)}
        90:{2,3,4,6}:{(68,1),(74,1),(115,1),(117,1),(126,1),(161,1)}
        91:{1,2,4,5,7}:{(68,1),(117,1),(118,1),(120,1),(155,1),(159,1),(173,1),(174,1)}
        92:{1,2,3,5,7}:{(70,1),(118,1),(119,1),(120,1),(159,1)}
        93:{2,3,6}:{(69,1),(70,1),(126,1)}
        94:{2,3,4,7}:{(70,1),(83,1),(120,1),(121,1),(127,1)}
        95:{3,4,5,7}:{(71,1),(72,1),(122,1),(123,1),(160,1)}
        96:{1,4,5,6}:{(71,1),(73,1),(108,1),(122,1),(129,1)}
        97:{2,4,5,6}:{(71,1),(74,1),(115,1),(123,1),(130,1)}
        98:{1,4,6,7}:{(72,1),(73,1),(76,1),(122,1),(173,1)}
        99:{2,4,6,7}:{(72,1),(74,1),(77,1),(123,1),(171,1)}
       100:{1,2,4,6}:{(73,1),(74,1),(75,1),(78,1),(126,1)}
       101:{3,5,7}:{(75,1),(126,1),(127,1),(162,1)}
       102:{1,2,5,6,7}:{(76,1),(77,1),(78,1),(125,1),(150,1),(155,1)}
       103:{1,2,3,5,6}:{(78,1),(79,1),(80,1),(82,1),(112,1),(119,1),(126,1),(128,1),(151,1),(154,1),(156,1),(159,1),(162,1)}
       104:{1,2,4,7}:{(79,1),(81,1),(83,1),(127,1),(128,1),(171,1),(173,1)}
       105:{1,4,6}:{(80,1),(81,1),(84,1),(129,1)}
       106:{2,4,6}:{(82,1),(83,1),(84,1),(130,1)}
       107:{3,4,5}:{(84,1),(129,1),(130,1),(162,1)}
       108:{1,3,5,6}:{(85,1),(96,1),(131,1),(132,1),(137,1),(146,1)}
       109:{1,3,4,6,7}:{(85,1),(98,1),(131,1),(133,1),(147,1),(169,1)}
       110:{1,2,4,6}:{(85,1),(86,1),(132,1),(134,1),(164,1)}
       111:{2,3,5,7}:{(86,1),(101,1),(134,1),(135,1),(165,1)}
       112:{1,2,3,6}:{(87,1),(88,1),(134,1),(136,1)}
       113:{1,2,4,7}:{(87,1),(89,1),(135,1),(136,1)}
       114:{1,3,4,6}:{(88,1),(89,1),(105,1),(136,1),(137,1),(148,1)}
       115:{2,3,5,6}:{(90,1),(97,1),(138,1),(139,1),(144,1),(146,1)}
       116:{2,3,4,6,7}:{(90,1),(99,1),(138,1),(140,1),(147,1),(169,1)}
       117:{1,2,4,6}:{(90,1),(91,1),(139,1),(141,1),(167,1)}
       118:{1,3,5,7}:{(91,1),(101,1),(141,1),(142,1),(168,1)}
       119:{1,2,3,6}:{(92,1),(93,1),(141,1),(143,1)}
       120:{1,2,4,7}:{(92,1),(94,1),(142,1),(143,1)}
       121:{2,3,4,6}:{(93,1),(94,1),(106,1),(143,1),(144,1),(148,1)}
       122:{1,4,5,7}:{(95,1),(96,1),(98,1),(131,1)}
       123:{2,4,5,7}:{(95,1),(97,1),(99,1),(138,1)}
       124:{1,2,4,5,6}:{(96,1),(97,1),(100,1),(132,1),(139,1),(145,1),(146,1),(149,1),(164,1),(167,1)}
       125:{1,2,4,6,7}:{(98,1),(99,1),(100,1),(102,1),(145,1),(147,1)}
       126:{3,6}:{(100,1),(101,1)}
       127:{3,4,7}:{(101,1),(104,1),(148,1)}
       128:{1,2,4,6}:{(103,1),(104,1),(105,1),(106,1),(148,1),(149,1),(164,1),(167,1)}
       129:{1,4,5}:{(105,1),(107,1),(137,1)}
       130:{2,4,5}:{(106,1),(107,1),(144,1)}
       131:{1,3,5,7}:{(108,1),(109,1),(122,1),(150,1),(160,1)}
       132:{1,2,5,6}:{(108,1),(110,1),(150,1),(151,1),(154,1)}
       133:{1,2,4,6,7}:{(109,1),(110,1),(150,1),(152,1),(171,1)}
       134:{2,3,6}:{(110,1),(111,1),(126,1)}
       135:{2,3,4,7}:{(111,1),(113,1),(127,1),(153,1),(171,1)}
       136:{1,2,4,6}:{(112,1),(113,1),(114,1),(153,1),(154,1)}
       137:{1,3,5}:{(114,1),(129,1),(154,1),(162,1)}
       138:{2,3,5,7}:{(115,1),(116,1),(123,1),(155,1),(160,1)}
       139:{1,2,5,6}:{(115,1),(117,1),(155,1),(156,1),(159,1)}
       140:{1,2,4,6,7}:{(116,1),(117,1),(155,1),(157,1),(173,1)}
       141:{1,3,6}:{(117,1),(118,1),(126,1)}
       142:{1,3,4,7}:{(118,1),(120,1),(127,1),(158,1),(173,1)}
       143:{1,2,4,6}:{(119,1),(120,1),(121,1),(158,1),(159,1)}
       144:{2,3,5}:{(121,1),(130,1),(159,1),(162,1)}
       145:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(125,1),(150,1),(155,1),(160,1),(171,1),(173,1)}
       146:{3,5,6}:{(124,1),(126,1),(160,1),(161,1),(162,1)}
       147:{3,6,7}:{(125,1),(126,1),(160,1)}
       148:{3,4,6}:{(126,1),(127,1),(128,1),(162,1)}
       149:{1,2,4,5}:{(128,1),(129,1),(130,1),(154,1),(159,1),(162,1),(172,1),(174,1)}
       150:{1,2,5,7}:{(131,1),(132,1),(133,1),(163,1)}
       151:{2,3,5,6}:{(132,1),(134,1),(146,1),(163,1),(164,1),(165,1)}
       152:{2,3,6,7}:{(133,1),(134,1),(147,1),(163,1)}
       153:{2,3,4,6}:{(134,1),(135,1),(136,1),(148,1),(164,1),(165,1)}
       154:{1,2,5}:{(136,1),(137,1),(165,1)}
       155:{1,2,5,7}:{(138,1),(139,1),(140,1),(166,1)}
       156:{1,3,5,6}:{(139,1),(141,1),(146,1),(166,1),(167,1),(168,1)}
       157:{1,3,6,7}:{(140,1),(141,1),(147,1),(166,1)}
       158:{1,3,4,6}:{(141,1),(142,1),(143,1),(148,1),(167,1),(168,1)}
       159:{1,2,5}:{(143,1),(144,1),(168,1)}
       160:{3,5,7}:{(145,1),(146,1),(147,1),(169,1)}
       161:{3,4,6}:{(146,1),(164,1),(167,1),(169,1),(170,1)}
       162:{3,5}:{(148,1),(149,1)}
       163:{2,3,5,7}:{(150,1),(151,1),(152,1),(160,1),(171,1)}
       164:{2,4,6}:{(151,1),(161,1),(171,1),(172,1)}
       165:{2,3,5}:{(153,1),(154,1),(162,1),(172,1)}
       166:{1,3,5,7}:{(155,1),(156,1),(157,1),(160,1),(173,1)}
       167:{1,4,6}:{(156,1),(161,1),(173,1),(174,1)}
       168:{1,3,5}:{(158,1),(159,1),(162,1),(174,1)}
       169:{3,4,7}:{(160,1),(161,1),(171,1),(173,1)}
       170:{3,4,5}:{(161,1),(162,1),(172,1),(174,1)}
       171:{2,4,7}:{(163,1),(164,1),(169,1)}
       172:{2,4,5}:{(164,1),(165,1),(170,1)}
       173:{1,4,7}:{(166,1),(167,1),(169,1)}
       174:{1,4,5}:{(167,1),(168,1),(170,1)}

1603 :   0:{1,2,3,6,7}:{(2,1),(3,1),(35,1),(71,1),(72,1),(73,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(11,1),(15,1),(35,1),(43,1),(44,1),(45,1),(46,1),(73,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(84,1),(85,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(22,1),(55,1),(56,1),(61,1),(62,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(58,1),(59,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(13,1),(32,1),(35,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(11,1),(94,1),(95,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(13,1),(75,1),(76,1)}
         8:{1,2,4,5}:{(4,1),(15,1),(40,1),(41,1),(45,1)}
         9:{3,4,6}:{(4,1),(13,1),(15,1),(35,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,5,6}:{(6,1),(18,1),(21,1),(82,1),(83,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(21,1),(22,1),(50,1),(51,1),(55,1)}
        13:{3,4,7}:{(7,1),(9,1),(22,1)}
        14:{1,2,4,5,6}:{(8,1),(21,1),(26,1),(27,1),(47,1),(58,1),(59,1),(63,1),(82,1),(83,1)}
        15:{3,5}:{(8,1),(9,1)}
        16:{1,3,4,6}:{(9,1),(23,1),(28,1),(30,1),(53,1),(58,1),(92,1),(93,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(24,1),(29,1),(30,1),(54,1),(59,1),(92,1),(93,1),(105,1)}
        18:{3,5,6}:{(10,1),(11,1),(32,1),(35,1)}
        19:{4,5,7}:{(10,1),(32,1)}
        20:{1,2,5,6,7}:{(11,1),(31,1),(34,1),(94,1),(95,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(32,1),(35,1),(68,1),(69,1),(73,1)}
        22:{3,5,7}:{(12,1),(13,1),(15,1),(35,1)}
        23:{1,3,4,7}:{(13,1),(16,1),(36,1),(38,1),(75,1),(99,1),(101,1)}
        24:{2,3,4,7}:{(13,1),(17,1),(37,1),(38,1),(76,1),(99,1),(101,1)}
        25:{3,4,5}:{(15,1),(39,1),(40,1),(41,1),(78,1)}
        26:{1,2,4,5,7}:{(14,1),(34,1),(42,1),(65,1),(75,1),(76,1),(79,1),(94,1),(95,1)}
        27:{3,5,6}:{(14,1),(15,1),(35,1),(39,1),(42,1)}
        28:{1,3,5}:{(15,1),(16,1),(40,1),(45,1),(78,1),(109,1)}
        29:{2,3,5}:{(15,1),(17,1),(41,1),(45,1),(78,1),(109,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(38,1),(45,1),(46,1),(73,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(20,1),(48,1),(52,1),(81,1)}
        32:{4,6}:{(18,1),(19,1)}
        33:{3,4,5,7}:{(19,1),(22,1),(25,1),(49,1),(50,1),(51,1),(57,1),(81,1),(87,1),(110,1),(111,1)}
        34:{1,2,4,6,7}:{(20,1),(21,1),(26,1),(48,1),(52,1),(84,1),(85,1),(88,1)}
        35:{3,6}:{(21,1),(22,1)}
        36:{1,3,5,7}:{(22,1),(23,1),(28,1),(50,1),(53,1),(55,1),(87,1)}
        37:{2,3,5,7}:{(22,1),(24,1),(29,1),(51,1),(54,1),(55,1),(87,1)}
        38:{1,2,4,7}:{(23,1),(24,1),(30,1),(55,1),(56,1)}
        39:{3,4,6}:{(25,1),(27,1),(57,1),(58,1),(59,1),(92,1)}
        40:{1,4,5}:{(25,1),(28,1),(58,1),(111,1)}
        41:{2,4,5}:{(25,1),(29,1),(59,1),(111,1)}
        42:{3,5,7}:{(26,1),(27,1),(52,1),(57,1)}
        43:{1,3,5,6}:{(27,1),(28,1),(53,1),(58,1),(61,1),(63,1),(82,1),(92,1),(103,1)}
        44:{2,3,5,6}:{(27,1),(29,1),(54,1),(59,1),(62,1),(63,1),(83,1),(92,1),(103,1)}
        45:{1,2,5}:{(28,1),(29,1),(30,1)}
        46:{1,2,3,6}:{(30,1),(56,1),(64,1),(92,1)}
        47:{4,5,6}:{(32,1),(65,1),(66,1),(108,1)}
        48:{4,6,7}:{(31,1),(32,1),(65,1)}
        49:{3,4,6}:{(32,1),(33,1),(35,1),(66,1),(68,1),(69,1),(98,1),(108,1)}
        50:{1,4,5,7}:{(33,1),(36,1),(40,1),(68,1),(75,1),(94,1)}
        51:{2,4,5,7}:{(33,1),(37,1),(41,1),(69,1),(76,1),(95,1)}
        52:{3,6,7}:{(34,1),(35,1),(42,1)}
        53:{1,3,6}:{(35,1),(36,1),(68,1),(73,1),(98,1)}
        54:{2,3,6}:{(35,1),(37,1),(69,1),(73,1),(98,1)}
        55:{1,2,5,7}:{(36,1),(37,1),(38,1),(45,1),(73,1)}
        56:{1,2,3,7}:{(38,1),(46,1),(101,1)}
        57:{3,4,7}:{(39,1),(42,1),(75,1),(76,1),(101,1)}
        58:{1,4,6}:{(39,1),(40,1),(43,1),(75,1),(108,1)}
        59:{2,4,6}:{(39,1),(41,1),(44,1),(76,1),(108,1)}
        60:{1,2,4,5}:{(40,1),(41,1),(45,1),(77,1),(78,1),(80,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(71,1),(75,1),(79,1),(94,1),(101,1),(107,1)}
        62:{2,3,5,7}:{(42,1),(44,1),(72,1),(76,1),(79,1),(95,1),(101,1),(107,1)}
        63:{1,2,5,6}:{(43,1),(44,1),(45,1),(73,1),(77,1),(79,1)}
        64:{1,2,3,5}:{(45,1),(46,1),(78,1),(80,1)}
        65:{4,5,7}:{(47,1),(48,1),(81,1),(110,1)}
        66:{3,5,6}:{(47,1),(49,1),(81,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(48,1),(49,1),(52,1),(57,1),(81,1),(84,1),(85,1),(104,1),(110,1)}
        68:{1,4,6}:{(49,1),(50,1),(53,1),(82,1)}
        69:{2,4,6}:{(49,1),(51,1),(54,1),(83,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(55,1),(60,1),(86,1),(87,1),(90,1),(91,1),(102,1),(106,1),(110,1),(111,1)}
        71:{1,3,6,7}:{(52,1),(53,1),(61,1),(84,1),(88,1),(104,1)}
        72:{2,3,6,7}:{(52,1),(54,1),(62,1),(85,1),(88,1),(104,1)}
        73:{1,2,6}:{(53,1),(54,1),(55,1)}
        74:{1,2,3,5,7}:{(55,1),(56,1),(64,1),(87,1),(89,1),(90,1),(106,1)}
        75:{1,4,7}:{(57,1),(58,1),(61,1),(110,1)}
        76:{2,4,7}:{(57,1),(59,1),(62,1),(110,1)}
        77:{1,2,4,6}:{(58,1),(59,1),(60,1),(63,1),(91,1),(92,1)}
        78:{3,5}:{(60,1),(92,1),(93,1)}
        79:{1,2,5,7}:{(61,1),(62,1),(63,1),(88,1),(91,1)}
        80:{1,2,4}:{(64,1),(93,1)}
        81:{3,5,7}:{(65,1),(66,1),(67,1),(94,1),(95,1)}
        82:{1,5,6}:{(66,1),(68,1),(94,1)}
        83:{2,5,6}:{(66,1),(69,1),(95,1)}
        84:{1,4,6,7}:{(67,1),(68,1),(71,1),(75,1),(94,1)}
        85:{2,4,6,7}:{(67,1),(69,1),(72,1),(76,1),(95,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(70,1),(73,1),(96,1),(98,1),(108,1)}
        87:{3,5,7}:{(70,1),(78,1),(98,1),(99,1),(101,1),(109,1)}
        88:{1,2,6,7}:{(71,1),(72,1),(73,1),(79,1)}
        89:{1,2,3,6}:{(73,1),(74,1),(98,1),(100,1)}
        90:{1,2,4,7}:{(74,1),(80,1),(99,1),(100,1)}
        91:{1,2,4,7}:{(75,1),(76,1),(77,1),(79,1),(101,1)}
        92:{3,6}:{(77,1),(78,1),(101,1)}
        93:{3,4}:{(78,1),(80,1)}
        94:{1,5,7}:{(81,1),(82,1),(84,1)}
        95:{2,5,7}:{(81,1),(83,1),(85,1)}
        96:{1,2,5,6}:{(82,1),(83,1),(86,1),(102,1),(103,1),(106,1)}
        97:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(102,1),(104,1),(110,1)}
        98:{3,6}:{(86,1),(87,1)}
        99:{3,4,7}:{(87,1),(90,1),(93,1),(105,1),(110,1)}
       100:{1,2,4,6}:{(89,1),(90,1),(105,1),(106,1)}
       101:{3,7}:{(91,1),(92,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(97,1),(107,1)}
       103:{3,5,6}:{(96,1),(98,1),(107,1),(108,1),(109,1)}
       104:{3,6,7}:{(97,1),(98,1),(101,1),(107,1)}
       105:{3,4,6}:{(98,1),(99,1),(100,1),(108,1),(109,1)}
       106:{1,2,5}:{(100,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(103,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1604 :   0:{2,3,4,5,7}:{(1,1),(2,1),(11,1),(41,1),(81,1),(85,1),(93,1),(124,1),(129,1),(132,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(7,1),(69,1),(151,1),(156,1),(158,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(24,1),(27,1),(59,1),(66,1),(70,1)}
         3:{2,4,5,6,7}:{(9,1),(34,1),(172,1)}
         4:{2,3,4,6,7}:{(1,1),(11,1),(12,1),(34,1),(74,1),(81,1),(121,1)}
         5:{3,4,5,6}:{(10,1),(14,1),(15,1),(47,1),(137,1),(174,1)}
         6:{2,3,5,6}:{(1,1),(11,1),(15,1),(16,1),(47,1),(85,1),(170,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(48,1)}
         8:{1,3,5,7}:{(2,1),(17,1),(18,1),(49,1),(129,1)}
         9:{3,5,6,7}:{(3,1),(19,1),(20,1),(190,1)}
        10:{3,4,5,7}:{(5,1),(19,1),(22,1),(23,1),(58,1)}
        11:{2,3,5,7}:{(4,1),(6,1),(23,1),(24,1),(58,1),(147,1)}
        12:{1,2,4,6,7}:{(4,1),(7,1),(24,1),(25,1),(59,1)}
        13:{1,2,3,5,7}:{(8,1),(26,1),(27,1),(63,1),(66,1)}
        14:{1,4,5,6}:{(5,1),(22,1),(28,1),(162,1),(192,1)}
        15:{2,4,5,6}:{(5,1),(6,1),(23,1),(109,1),(151,1)}
        16:{1,2,5,6}:{(6,1),(7,1),(24,1),(30,1),(66,1)}
        17:{1,3,6}:{(7,1),(8,1),(156,1)}
        18:{1,3,4,7}:{(8,1),(27,1),(31,1),(59,1),(101,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(33,1),(34,1),(74,1),(174,1)}
        20:{1,5,6,7}:{(9,1),(33,1),(202,1)}
        21:{2,3,5,6,7}:{(9,1),(11,1),(34,1),(35,1),(74,1),(125,1)}
        22:{1,4,5,7}:{(10,1),(14,1),(33,1),(37,1)}
        23:{2,4,5,7}:{(10,1),(11,1),(15,1),(34,1)}
        24:{1,2,5,7}:{(11,1),(12,1),(16,1),(39,1)}
        25:{1,3,6,7}:{(12,1),(17,1),(39,1),(74,1)}
        26:{1,2,3,6}:{(13,1),(17,1),(44,1),(86,1)}
        27:{1,2,4,7}:{(13,1),(18,1),(41,1),(44,1)}
        28:{1,3,5,6}:{(14,1),(37,1),(42,1),(46,1),(47,1),(142,1),(178,1)}
        29:{1,2,4,5,6}:{(14,1),(15,1),(16,1),(38,1),(46,1),(47,1),(48,1),(89,1),(92,1),(123,1),(130,1),(170,1)}
        30:{1,3,5,6}:{(16,1),(17,1),(39,1),(47,1),(48,1),(49,1)}
        31:{1,3,4,6}:{(17,1),(18,1),(44,1),(48,1),(49,1),(88,1)}
        32:{1,3,4,5,7}:{(18,1),(45,1),(49,1),(50,1),(82,1),(95,1),(129,1),(137,1),(173,1),(185,1)}
        33:{1,4,6,7}:{(19,1),(20,1),(22,1),(51,1),(192,1)}
        34:{2,4,6,7}:{(19,1),(21,1),(23,1),(151,1)}
        35:{1,2,5,6,7}:{(20,1),(21,1),(24,1),(52,1),(53,1),(103,1),(147,1)}
        36:{1,2,3,6,7}:{(25,1),(26,1),(55,1),(56,1),(96,1),(111,1),(156,1),(194,1),(196,1)}
        37:{1,3,5,7}:{(22,1),(28,1),(51,1),(54,1),(57,1),(58,1)}
        38:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(29,1),(52,1),(57,1),(58,1),(59,1),(98,1),(104,1),(147,1)}
        39:{1,3,5,7}:{(24,1),(25,1),(30,1),(58,1),(59,1)}
        40:{1,3,4,6,7}:{(25,1),(31,1),(56,1),(59,1),(60,1),(97,1),(101,1),(106,1),(156,1)}
        41:{2,3,4,7}:{(27,1),(62,1),(63,1),(101,1),(164,1)}
        42:{1,3,4,6}:{(28,1),(54,1),(61,1),(64,1),(69,1)}
        43:{1,2,3,5,6}:{(26,1),(30,1),(55,1),(65,1),(66,1),(68,1),(103,1),(110,1),(112,1),(115,1),(156,1),(165,1),(167,1),(194,1)}
        44:{1,2,4,6}:{(26,1),(27,1),(31,1),(62,1),(66,1)}
        45:{1,2,4,5,7}:{(27,1),(32,1),(63,1),(66,1),(67,1),(109,1),(117,1),(164,1)}
        46:{1,2,5,6}:{(28,1),(57,1),(64,1),(68,1),(165,1),(194,1)}
        47:{3,5,6}:{(29,1),(58,1),(69,1),(115,1),(156,1)}
        48:{1,4,6}:{(30,1),(59,1),(69,1),(70,1)}
        49:{1,3,5}:{(31,1),(66,1),(70,1),(115,1)}
        50:{1,3,4,6}:{(32,1),(67,1),(71,1),(106,1),(156,1),(163,1),(192,1)}
        51:{1,3,6,7}:{(33,1),(37,1),(73,1),(74,1),(178,1)}
        52:{1,2,4,6,7}:{(33,1),(34,1),(35,1),(38,1),(73,1),(74,1),(75,1),(121,1),(130,1)}
        53:{1,3,5,6,7}:{(35,1),(39,1),(74,1),(75,1),(83,1),(122,1)}
        54:{1,3,4,7}:{(37,1),(42,1),(77,1),(81,1)}
        55:{1,2,3,5,7}:{(36,1),(39,1),(43,1),(78,1),(79,1),(80,1),(126,1),(129,1),(139,1),(176,1),(188,1)}
        56:{1,2,4,6,7}:{(36,1),(40,1),(44,1),(76,1),(78,1),(79,1),(121,1),(130,1),(204,1)}
        57:{1,2,5,7}:{(37,1),(46,1),(73,1),(77,1),(80,1)}
        58:{3,5,7}:{(38,1),(47,1),(74,1),(81,1)}
        59:{1,4,7}:{(39,1),(48,1),(81,1)}
        60:{1,3,5,7}:{(40,1),(49,1),(79,1),(82,1),(83,1),(122,1),(129,1)}
        61:{1,3,4,5}:{(42,1),(84,1),(93,1),(142,1),(181,1)}
        62:{2,3,4,6}:{(41,1),(44,1),(85,1),(86,1),(88,1),(138,1)}
        63:{2,3,5,7}:{(41,1),(45,1),(85,1),(86,1),(129,1)}
        64:{1,2,4,6}:{(42,1),(46,1),(77,1),(84,1),(87,1),(92,1)}
        65:{1,2,4,6}:{(43,1),(48,1),(78,1),(88,1),(89,1),(92,1),(138,1),(184,1)}
        66:{1,2,5}:{(44,1),(49,1),(85,1)}
        67:{1,2,4,6}:{(45,1),(50,1),(86,1),(90,1),(138,1)}
        68:{2,3,5,6}:{(46,1),(47,1),(80,1),(87,1),(92,1),(141,1),(170,1),(177,1)}
        69:{3,4,6}:{(47,1),(48,1),(81,1),(92,1),(93,1)}
        70:{1,4,5}:{(48,1),(49,1),(93,1)}
        71:{1,3,5,6}:{(49,1),(50,1),(90,1),(94,1),(95,1),(143,1),(202,1)}
        72:{1,3,4,6,7}:{(50,1),(91,1),(95,1),(134,1),(179,1),(185,1),(204,1)}
        73:{1,2,6,7}:{(51,1),(57,1),(96,1),(194,1)}
        74:{3,6,7}:{(52,1),(58,1),(156,1)}
        75:{1,4,6,7}:{(53,1),(59,1),(97,1),(98,1),(106,1)}
        76:{2,3,4,6,7}:{(56,1),(62,1),(99,1),(101,1),(111,1),(151,1),(156,1),(164,1),(193,1)}
        77:{1,2,4,7}:{(54,1),(57,1),(64,1),(100,1),(104,1)}
        78:{1,2,4,7}:{(55,1),(59,1),(65,1),(101,1),(104,1),(164,1),(200,1)}
        79:{1,2,5,7}:{(56,1),(60,1),(66,1),(99,1),(103,1),(147,1),(208,1)}
        80:{2,3,5,7}:{(57,1),(58,1),(68,1),(96,1),(100,1),(104,1),(147,1)}
        81:{3,4,7}:{(58,1),(59,1),(69,1),(104,1)}
        82:{1,4,5,7}:{(59,1),(60,1),(70,1),(105,1),(106,1)}
        83:{1,3,5,6}:{(60,1),(103,1),(106,1),(148,1),(156,1)}
        84:{1,2,4,5}:{(61,1),(64,1),(108,1),(118,1),(160,1),(165,1)}
        85:{2,3,5}:{(62,1),(66,1),(109,1),(115,1)}
        86:{2,3,6}:{(63,1),(67,1),(156,1)}
        87:{2,3,6}:{(64,1),(100,1),(108,1)}
        88:{3,4,6}:{(65,1),(101,1),(115,1),(156,1)}
        89:{1,2,4,5}:{(65,1),(66,1),(70,1),(109,1),(115,1),(118,1),(162,1),(165,1)}
        90:{1,2,5,6}:{(66,1),(67,1),(71,1),(110,1),(117,1)}
        91:{1,2,4,6,7}:{(67,1),(72,1),(111,1),(117,1),(164,1)}
        92:{2,4,6}:{(68,1),(69,1),(104,1),(118,1)}
        93:{3,4,5}:{(69,1),(70,1),(115,1),(118,1)}
        94:{1,4,5,6}:{(70,1),(71,1),(106,1),(119,1),(120,1)}
        95:{1,3,5,7}:{(71,1),(72,1),(117,1),(120,1),(168,1),(208,1)}
        96:{2,3,6,7}:{(73,1),(74,1),(80,1),(121,1),(177,1)}
        97:{3,4,6,7}:{(74,1),(75,1),(81,1),(121,1),(122,1),(133,1)}
        98:{1,4,5,7}:{(75,1),(122,1),(123,1)}
        99:{2,3,5,7}:{(76,1),(79,1),(85,1),(124,1),(125,1),(129,1),(203,1)}
       100:{2,3,7}:{(77,1),(87,1)}
       101:{3,4,7}:{(78,1),(88,1),(129,1)}
       102:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(89,1),(124,1),(129,1),(130,1),(132,1),(173,1),(176,1)}
       103:{1,2,5,6}:{(79,1),(83,1),(125,1),(130,1),(170,1),(202,1)}
       104:{2,4,7}:{(80,1),(81,1),(92,1)}
       105:{3,4,5,7}:{(81,1),(82,1),(93,1),(122,1),(129,1),(132,1),(133,1)}
       106:{1,4,6}:{(82,1),(83,1),(133,1)}
       107:{1,3,5,6,7}:{(83,1),(95,1),(131,1),(134,1),(171,1),(179,1)}
       108:{2,3,5}:{(84,1),(87,1),(136,1)}
       109:{2,4,5}:{(85,1),(137,1),(138,1)}
       110:{2,3,5,6}:{(85,1),(86,1),(90,1),(138,1),(139,1),(143,1)}
       111:{2,3,6,7}:{(86,1),(91,1),(139,1),(179,1)}
       112:{1,2,3,6}:{(87,1),(126,1),(135,1),(140,1),(206,1)}
       113:{2,3,4,6}:{(87,1),(88,1),(92,1),(127,1),(136,1),(140,1),(141,1),(177,1)}
       114:{1,3,4,6}:{(88,1),(128,1),(140,1),(142,1),(178,1),(181,1),(184,1),(206,1)}
       115:{3,5}:{(88,1),(89,1)}
       116:{1,2,4,5,6}:{(89,1),(90,1),(94,1),(130,1),(138,1),(143,1),(144,1),(145,1),(172,1),(184,1),(186,1),(202,1)}
       117:{1,2,5,7}:{(90,1),(91,1),(95,1),(139,1)}
       118:{2,4,5}:{(92,1),(93,1),(141,1)}
       119:{3,4,5,6}:{(93,1),(94,1),(133,1),(143,1),(145,1),(146,1)}
       120:{1,4,5,7}:{(94,1),(95,1),(134,1),(146,1)}
       121:{2,4,6,7}:{(96,1),(97,1),(104,1),(147,1),(158,1)}
       122:{3,5,7}:{(97,1),(98,1),(147,1),(148,1)}
       123:{1,4,5,6}:{(98,1),(106,1),(148,1)}
       124:{2,4,5,7}:{(99,1),(109,1),(150,1),(151,1),(164,1)}
       125:{2,3,5,6}:{(99,1),(103,1),(151,1),(156,1),(190,1)}
       126:{1,2,3,7}:{(100,1),(112,1),(153,1),(209,1)}
       127:{2,3,4,7}:{(100,1),(101,1),(104,1),(113,1),(153,1),(154,1)}
       128:{1,3,4,7}:{(101,1),(114,1),(153,1),(155,1),(200,1),(209,1)}
       129:{3,5,7}:{(101,1),(102,1),(115,1),(156,1)}
       130:{1,2,4,6}:{(102,1),(103,1),(106,1),(151,1),(156,1),(158,1),(192,1),(194,1)}
       131:{1,2,5,6,7}:{(103,1),(107,1),(117,1),(152,1),(157,1),(189,1),(208,1)}
       132:{2,4,5,7}:{(104,1),(105,1),(118,1),(147,1),(154,1),(158,1)}
       133:{3,4,6}:{(105,1),(106,1),(148,1),(156,1),(158,1)}
       134:{1,4,6,7}:{(106,1),(107,1),(120,1),(159,1)}
       135:{1,2,3,5}:{(108,1),(112,1),(160,1),(165,1),(197,1)}
       136:{2,3,4}:{(108,1),(160,1)}
       137:{3,4,5}:{(109,1),(115,1),(162,1),(163,1)}
       138:{2,4,6}:{(109,1),(110,1),(163,1),(164,1)}
       139:{2,3,5,7}:{(110,1),(111,1),(117,1),(164,1),(168,1)}
       140:{1,2,4,6}:{(112,1),(113,1),(114,1),(153,1),(160,1),(165,1),(194,1)}
       141:{2,3,5}:{(113,1),(115,1),(118,1),(165,1)}
       142:{1,3,5}:{(114,1),(115,1),(162,1),(165,1)}
       143:{3,5,6}:{(115,1),(116,1),(156,1),(163,1),(168,1)}
       144:{1,2,4,5,7}:{(116,1),(117,1),(120,1),(157,1),(164,1),(168,1),(169,1),(191,1),(200,1),(201,1),(208,1)}
       145:{2,4,5,6}:{(118,1),(119,1),(158,1),(166,1),(169,1)}
       146:{3,4,5,7}:{(119,1),(120,1),(159,1),(168,1),(169,1)}
       147:{2,5,7}:{(121,1),(122,1),(170,1)}
       148:{3,5,6}:{(122,1),(123,1),(133,1),(170,1)}
       149:{1,4,5,6,7}:{(123,1),(134,1),(171,1)}
       150:{3,4,5,7}:{(124,1),(129,1),(137,1),(173,1),(174,1),(185,1),(203,1)}
       151:{2,4,6}:{(124,1),(125,1),(174,1)}
       152:{2,3,5,6,7}:{(125,1),(131,1),(139,1),(175,1),(179,1),(203,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(128,1),(140,1),(176,1)}
       154:{2,3,5,7}:{(127,1),(129,1),(132,1),(141,1),(176,1),(177,1)}
       155:{1,3,5,7}:{(128,1),(129,1),(142,1),(173,1),(176,1),(178,1)}
       156:{3,6}:{(129,1),(130,1)}
       157:{1,2,4,6,7}:{(130,1),(131,1),(134,1),(144,1),(175,1),(179,1),(180,1),(204,1),(205,1)}
       158:{2,4,6}:{(132,1),(133,1),(170,1),(177,1)}
       159:{3,4,6,7}:{(133,1),(134,1),(146,1),(171,1),(179,1),(180,1)}
       160:{1,2,4}:{(135,1),(136,1),(181,1)}
       161:{2,3,4,5}:{(136,1),(137,1),(141,1),(182,1),(183,1)}
       162:{1,4,5}:{(137,1),(142,1),(184,1)}
       163:{3,4,6}:{(137,1),(138,1),(143,1),(184,1),(185,1)}
       164:{2,4,7}:{(138,1),(139,1),(185,1)}
       165:{1,2,5}:{(140,1),(141,1),(142,1)}
       166:{2,3,5,6}:{(141,1),(143,1),(145,1),(177,1),(183,1),(186,1),(187,1)}
       167:{1,3,5,6}:{(142,1),(143,1),(178,1),(184,1),(186,1),(188,1),(202,1),(206,1)}
       168:{3,5,7}:{(143,1),(144,1),(179,1),(185,1)}
       169:{2,4,5,7}:{(145,1),(146,1),(180,1),(187,1)}
       170:{2,5,6}:{(147,1),(148,1),(158,1)}
       171:{3,5,6,7}:{(148,1),(149,1),(159,1),(189,1)}
       172:{2,4,5,6}:{(151,1),(190,1),(191,1)}
       173:{1,4,5,7}:{(150,1),(155,1),(162,1),(192,1),(200,1),(208,1)}
       174:{3,4,6}:{(150,1),(151,1),(156,1),(190,1),(192,1)}
       175:{2,4,6,7}:{(151,1),(152,1),(164,1),(191,1),(193,1)}
       176:{1,2,5,7}:{(153,1),(154,1),(155,1),(165,1),(194,1)}
       177:{2,3,6}:{(154,1),(156,1),(158,1),(194,1)}
       178:{1,3,6}:{(155,1),(156,1),(192,1),(194,1)}
       179:{3,6,7}:{(156,1),(157,1),(168,1)}
       180:{2,4,6,7}:{(158,1),(159,1),(169,1),(189,1),(195,1)}
       181:{1,3,4}:{(160,1),(197,1)}
       182:{1,2,4,5}:{(160,1),(161,1),(162,1),(165,1),(197,1),(198,1)}
       183:{2,3,4,6}:{(161,1),(163,1),(166,1),(198,1),(199,1)}
       184:{1,4,6}:{(162,1),(163,1),(167,1),(200,1)}
       185:{3,4,7}:{(163,1),(164,1),(168,1),(200,1)}
       186:{1,2,5,6}:{(165,1),(166,1),(167,1),(194,1),(198,1),(201,1)}
       187:{2,3,5,7}:{(166,1),(168,1),(169,1),(195,1),(199,1),(201,1)}
       188:{1,3,5,7}:{(167,1),(168,1),(196,1),(200,1),(201,1),(208,1),(209,1)}
       189:{2,5,6,7}:{(170,1),(171,1),(180,1)}
       190:{3,5,6}:{(172,1),(174,1),(202,1),(203,1)}
       191:{2,4,5,7}:{(172,1),(175,1),(203,1)}
       192:{1,4,6}:{(173,1),(174,1),(178,1),(202,1)}
       193:{3,4,6,7}:{(174,1),(175,1),(179,1),(185,1),(203,1),(204,1)}
       194:{1,2,6}:{(176,1),(177,1),(178,1)}
       195:{2,3,6,7}:{(177,1),(179,1),(180,1),(187,1),(205,1)}
       196:{1,3,6,7}:{(178,1),(179,1),(188,1),(204,1),(205,1)}
       197:{1,3,5}:{(181,1),(182,1),(206,1)}
       198:{1,2,4,6}:{(182,1),(183,1),(184,1),(186,1),(206,1),(207,1)}
       199:{2,3,4,7}:{(183,1),(185,1),(187,1),(207,1)}
       200:{1,4,7}:{(184,1),(185,1),(188,1)}
       201:{1,2,5,7}:{(186,1),(187,1),(188,1),(205,1),(207,1)}
       202:{1,5,6}:{(190,1),(192,1),(208,1)}
       203:{3,5,7}:{(190,1),(191,1),(193,1),(208,1)}
       204:{1,4,6,7}:{(192,1),(193,1),(196,1),(200,1),(208,1)}
       205:{1,2,6,7}:{(194,1),(195,1),(196,1),(201,1)}
       206:{1,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,2,4,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       208:{1,5,7}:{(202,1),(203,1),(204,1)}
       209:{1,3,7}:{(206,1),(207,1)}

1605 :   0:{2,3,4,5,7}:{(1,1),(2,1),(12,1),(37,1),(85,1),(95,1),(98,1),(141,1),(150,1),(157,1)}
         1:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(23,1),(26,1),(66,1),(69,1),(72,1)}
         2:{2,3,4,6}:{(0,1),(6,1),(7,1),(73,1),(168,1),(176,1),(182,1)}
         3:{1,3,4,5,7}:{(8,1),(9,1),(13,1),(36,1),(48,1),(94,1),(142,1),(145,1),(150,1),(191,1)}
         4:{2,3,4,6,7}:{(2,1),(11,1),(12,1),(33,1),(77,1),(95,1),(135,1)}
         5:{1,3,5,7}:{(1,1),(13,1),(14,1),(48,1),(150,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(14,1),(15,1),(49,1)}
         7:{2,3,5,6}:{(2,1),(12,1),(15,1),(16,1),(50,1),(85,1),(185,1)}
         8:{1,2,4,5,7}:{(3,1),(20,1),(21,1),(23,1),(58,1),(66,1),(111,1),(114,1)}
         9:{1,3,4,6}:{(3,1),(21,1),(22,1),(115,1),(124,1),(176,1),(203,1)}
        10:{1,2,3,5,7}:{(5,1),(20,1),(23,1),(24,1),(66,1)}
        11:{1,2,4,6,7}:{(4,1),(6,1),(25,1),(26,1),(69,1)}
        12:{2,3,5,7}:{(4,1),(7,1),(26,1),(27,1),(70,1),(163,1)}
        13:{1,3,4,7}:{(5,1),(23,1),(28,1),(69,1),(120,1)}
        14:{1,3,6}:{(5,1),(6,1),(176,1)}
        15:{1,2,5,6}:{(6,1),(7,1),(26,1),(29,1),(66,1)}
        16:{2,4,5,6}:{(7,1),(27,1),(31,1),(114,1),(168,1)}
        17:{2,3,5,6,7}:{(12,1),(32,1),(33,1),(34,1),(77,1),(140,1)}
        18:{2,4,5,6,7}:{(33,1),(34,1),(186,1)}
        19:{1,3,4,6,7}:{(9,1),(35,1),(36,1),(80,1),(138,1),(142,1),(188,1)}
        20:{2,3,5,7}:{(8,1),(37,1),(38,1),(85,1),(150,1)}
        21:{1,2,4,6}:{(8,1),(9,1),(38,1),(39,1),(86,1)}
        22:{1,3,5,6}:{(9,1),(36,1),(39,1),(40,1),(48,1),(87,1),(208,1)}
        23:{1,2,4,7}:{(10,1),(13,1),(37,1),(42,1)}
        24:{1,2,3,6}:{(10,1),(14,1),(38,1),(42,1)}
        25:{1,3,6,7}:{(11,1),(14,1),(45,1),(77,1)}
        26:{1,2,5,7}:{(11,1),(12,1),(15,1),(45,1)}
        27:{2,4,5,7}:{(12,1),(16,1),(33,1),(47,1)}
        28:{1,3,4,6}:{(13,1),(14,1),(42,1),(48,1),(49,1),(92,1)}
        29:{1,3,5,6}:{(14,1),(15,1),(45,1),(48,1),(49,1),(50,1)}
        30:{1,2,4,5,6}:{(15,1),(16,1),(46,1),(49,1),(50,1),(51,1),(91,1),(100,1),(101,1),(133,1),(149,1),(185,1)}
        31:{3,4,5,6}:{(16,1),(47,1),(50,1),(51,1),(145,1),(190,1)}
        32:{1,2,5,6,7}:{(17,1),(26,1),(52,1),(53,1),(55,1),(118,1),(163,1)}
        33:{2,4,6,7}:{(17,1),(27,1),(54,1),(168,1)}
        34:{3,5,6,7}:{(18,1),(54,1),(55,1),(201,1)}
        35:{1,2,4,6,7}:{(19,1),(21,1),(57,1),(58,1),(111,1)}
        36:{1,3,5,7}:{(19,1),(22,1),(58,1),(59,1),(112,1),(202,1)}
        37:{2,3,4,7}:{(20,1),(23,1),(60,1),(111,1),(120,1)}
        38:{2,3,6}:{(20,1),(21,1),(176,1)}
        39:{1,2,5,6}:{(21,1),(22,1),(58,1),(61,1),(66,1)}
        40:{1,4,5,6}:{(22,1),(59,1),(63,1),(72,1),(124,1)}
        41:{1,2,3,6,7}:{(24,1),(25,1),(57,1),(64,1),(65,1),(106,1),(166,1),(176,1),(206,1)}
        42:{1,2,4,6}:{(23,1),(24,1),(28,1),(60,1),(66,1)}
        43:{1,2,3,5,6}:{(24,1),(29,1),(61,1),(65,1),(66,1),(67,1),(75,1),(116,1),(118,1),(121,1),(176,1),(180,1),(181,1),(206,1)}
        44:{1,3,4,6,7}:{(25,1),(28,1),(64,1),(68,1),(69,1),(104,1),(120,1),(124,1),(176,1)}
        45:{1,3,5,7}:{(25,1),(26,1),(29,1),(69,1),(70,1)}
        46:{1,2,4,5,7}:{(26,1),(27,1),(30,1),(53,1),(69,1),(70,1),(71,1),(103,1),(127,1),(128,1),(163,1)}
        47:{3,4,5,7}:{(27,1),(31,1),(54,1),(70,1),(71,1)}
        48:{1,3,5}:{(28,1),(66,1),(72,1),(121,1)}
        49:{1,4,6}:{(29,1),(69,1),(72,1),(73,1)}
        50:{3,5,6}:{(30,1),(70,1),(73,1),(121,1),(176,1)}
        51:{1,4,5,6}:{(31,1),(71,1),(74,1),(173,1),(203,1)}
        52:{1,3,5,6,7}:{(32,1),(45,1),(76,1),(77,1),(93,1),(134,1)}
        53:{1,2,4,6,7}:{(32,1),(33,1),(46,1),(76,1),(77,1),(78,1),(135,1),(136,1),(149,1)}
        54:{3,4,6,7}:{(33,1),(34,1),(47,1),(77,1),(78,1),(190,1)}
        55:{1,5,6,7}:{(34,1),(78,1),(208,1)}
        56:{1,3,5,6,7}:{(36,1),(79,1),(80,1),(93,1),(132,1),(138,1)}
        57:{2,3,6,7}:{(35,1),(38,1),(82,1),(138,1)}
        58:{1,2,5,7}:{(35,1),(36,1),(39,1),(82,1)}
        59:{1,4,5,7}:{(36,1),(40,1),(80,1),(84,1)}
        60:{2,3,4,6}:{(37,1),(38,1),(42,1),(85,1),(86,1),(92,1)}
        61:{2,3,5,6}:{(38,1),(39,1),(82,1),(85,1),(86,1),(87,1)}
        62:{1,2,4,5,6}:{(39,1),(40,1),(83,1),(86,1),(87,1),(88,1),(91,1),(146,1),(148,1),(149,1),(186,1),(208,1)}
        63:{3,4,5,6}:{(40,1),(84,1),(87,1),(88,1),(98,1),(156,1)}
        64:{1,2,4,6,7}:{(41,1),(42,1),(44,1),(81,1),(89,1),(90,1),(135,1),(149,1),(188,1)}
        65:{1,2,3,5,7}:{(41,1),(43,1),(45,1),(82,1),(89,1),(90,1),(97,1),(143,1),(150,1),(197,1),(198,1)}
        66:{1,2,5}:{(42,1),(48,1),(85,1)}
        67:{1,2,4,6}:{(43,1),(49,1),(86,1),(90,1),(91,1),(92,1),(100,1),(146,1)}
        68:{1,3,5,7}:{(44,1),(48,1),(89,1),(93,1),(94,1),(134,1),(150,1)}
        69:{1,4,7}:{(45,1),(49,1),(95,1)}
        70:{3,5,7}:{(46,1),(50,1),(77,1),(95,1)}
        71:{1,4,5,7}:{(47,1),(51,1),(78,1),(96,1)}
        72:{1,4,5}:{(48,1),(49,1),(98,1)}
        73:{3,4,6}:{(49,1),(50,1),(95,1),(98,1),(100,1)}
        74:{1,3,5,6}:{(50,1),(51,1),(96,1),(99,1),(101,1),(153,1),(195,1)}
        75:{2,3,5,6}:{(50,1),(97,1),(100,1),(101,1),(154,1),(160,1),(185,1),(196,1)}
        76:{1,4,6,7}:{(52,1),(69,1),(103,1),(104,1),(124,1)}
        77:{3,6,7}:{(53,1),(70,1),(176,1)}
        78:{1,4,6,7}:{(54,1),(55,1),(71,1),(105,1),(203,1)}
        79:{1,2,5,6,7}:{(56,1),(58,1),(107,1),(108,1),(118,1),(161,1),(202,1)}
        80:{1,4,6,7}:{(56,1),(59,1),(109,1),(124,1)}
        81:{2,3,4,6,7}:{(57,1),(60,1),(64,1),(110,1),(111,1),(120,1),(165,1),(168,1),(176,1)}
        82:{2,3,5,7}:{(57,1),(58,1),(61,1),(111,1),(112,1)}
        83:{1,2,4,5,7}:{(58,1),(59,1),(62,1),(108,1),(111,1),(112,1),(113,1),(164,1),(170,1),(172,1),(202,1)}
        84:{3,4,5,7}:{(59,1),(63,1),(109,1),(112,1),(113,1)}
        85:{2,3,5}:{(60,1),(66,1),(114,1),(121,1)}
        86:{2,4,6}:{(61,1),(111,1),(114,1),(115,1)}
        87:{3,5,6}:{(62,1),(112,1),(115,1),(121,1),(176,1)}
        88:{2,4,5,6}:{(63,1),(113,1),(117,1),(130,1),(182,1)}
        89:{1,2,5,7}:{(64,1),(66,1),(68,1),(110,1),(118,1),(163,1),(202,1)}
        90:{1,2,4,7}:{(65,1),(67,1),(69,1),(111,1),(120,1),(127,1),(170,1)}
        91:{1,2,4,5}:{(66,1),(67,1),(72,1),(114,1),(121,1),(130,1),(173,1),(180,1)}
        92:{3,4,6}:{(67,1),(120,1),(121,1),(176,1)}
        93:{1,3,5,6}:{(68,1),(118,1),(124,1),(162,1),(176,1)}
        94:{1,4,5,7}:{(68,1),(69,1),(72,1),(124,1),(125,1)}
        95:{3,4,7}:{(69,1),(70,1),(73,1),(127,1)}
        96:{1,3,5,7}:{(70,1),(71,1),(74,1),(105,1),(126,1),(128,1)}
        97:{2,3,5,7}:{(70,1),(75,1),(106,1),(127,1),(128,1),(163,1),(183,1)}
        98:{3,4,5}:{(72,1),(73,1),(121,1),(130,1)}
        99:{1,3,4,6}:{(73,1),(74,1),(126,1),(129,1),(131,1)}
       100:{2,4,6}:{(73,1),(75,1),(127,1),(130,1)}
       101:{1,2,5,6}:{(74,1),(75,1),(128,1),(131,1),(180,1),(206,1)}
       102:{1,4,5,6,7}:{(80,1),(132,1),(133,1)}
       103:{1,4,5,7}:{(76,1),(133,1),(134,1)}
       104:{3,4,6,7}:{(76,1),(77,1),(95,1),(134,1),(135,1),(156,1)}
       105:{1,3,6,7}:{(77,1),(78,1),(96,1),(136,1),(195,1)}
       106:{2,3,6,7}:{(77,1),(97,1),(135,1),(136,1),(196,1)}
       107:{2,3,5,6,7}:{(79,1),(82,1),(137,1),(138,1),(140,1),(187,1)}
       108:{1,2,4,6,7}:{(79,1),(80,1),(83,1),(137,1),(138,1),(139,1),(149,1),(188,1),(189,1)}
       109:{3,4,6,7}:{(80,1),(84,1),(132,1),(138,1),(139,1),(156,1)}
       110:{2,3,5,7}:{(81,1),(85,1),(89,1),(140,1),(141,1),(150,1),(187,1)}
       111:{2,4,7}:{(82,1),(86,1),(142,1)}
       112:{3,5,7}:{(83,1),(87,1),(138,1),(142,1)}
       113:{2,4,5,7}:{(84,1),(88,1),(139,1),(144,1)}
       114:{2,4,5}:{(85,1),(86,1),(145,1)}
       115:{3,4,6}:{(86,1),(87,1),(142,1),(145,1),(146,1)}
       116:{1,3,5,6}:{(87,1),(143,1),(146,1),(148,1),(153,1),(194,1),(195,1),(208,1)}
       117:{2,3,5,6}:{(87,1),(88,1),(144,1),(147,1),(148,1),(154,1),(196,1)}
       118:{1,2,5,6}:{(89,1),(93,1),(140,1),(149,1),(185,1),(208,1)}
       119:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(141,1),(149,1),(150,1),(157,1),(191,1),(197,1)}
       120:{3,4,7}:{(90,1),(92,1),(150,1)}
       121:{3,5}:{(91,1),(92,1)}
       122:{1,3,4,6}:{(92,1),(146,1),(151,1),(153,1),(155,1),(194,1),(195,1),(209,1)}
       123:{2,3,4,6}:{(92,1),(100,1),(152,1),(154,1),(155,1),(160,1),(196,1),(200,1)}
       124:{1,4,6}:{(93,1),(94,1),(156,1)}
       125:{3,4,5,7}:{(94,1),(95,1),(98,1),(134,1),(150,1),(156,1),(157,1)}
       126:{1,3,4,7}:{(95,1),(96,1),(99,1),(158,1)}
       127:{2,4,7}:{(95,1),(97,1),(100,1)}
       128:{1,2,5,7}:{(96,1),(97,1),(101,1),(136,1),(158,1)}
       129:{1,3,4,5}:{(98,1),(99,1),(153,1),(159,1),(209,1)}
       130:{2,4,5}:{(98,1),(100,1),(154,1)}
       131:{1,2,4,6}:{(99,1),(100,1),(101,1),(158,1),(159,1),(160,1)}
       132:{3,5,6,7}:{(102,1),(109,1),(161,1),(162,1)}
       133:{1,4,5,6}:{(103,1),(124,1),(162,1)}
       134:{3,5,7}:{(103,1),(104,1),(162,1),(163,1)}
       135:{2,4,6,7}:{(104,1),(106,1),(127,1),(163,1),(182,1)}
       136:{1,2,6,7}:{(105,1),(106,1),(128,1),(206,1)}
       137:{2,4,6,7}:{(107,1),(111,1),(164,1),(165,1),(168,1)}
       138:{3,6,7}:{(108,1),(112,1),(176,1)}
       139:{2,4,6,7}:{(109,1),(113,1),(161,1),(167,1),(182,1)}
       140:{2,3,5,6}:{(110,1),(118,1),(168,1),(176,1),(201,1)}
       141:{2,4,5,7}:{(110,1),(111,1),(114,1),(168,1),(169,1)}
       142:{3,4,7}:{(111,1),(112,1),(115,1),(170,1)}
       143:{1,3,5,7}:{(112,1),(116,1),(166,1),(170,1),(172,1),(202,1),(204,1)}
       144:{2,3,5,7}:{(112,1),(113,1),(117,1),(167,1),(171,1),(172,1)}
       145:{3,4,5}:{(114,1),(115,1),(121,1),(173,1)}
       146:{1,4,6}:{(115,1),(116,1),(170,1),(173,1)}
       147:{2,3,4,6}:{(115,1),(117,1),(171,1),(174,1),(175,1)}
       148:{1,2,5,6}:{(116,1),(117,1),(172,1),(175,1),(180,1),(206,1)}
       149:{1,2,4,6}:{(118,1),(119,1),(124,1),(168,1),(176,1),(182,1),(203,1),(206,1)}
       150:{3,5,7}:{(119,1),(120,1),(121,1),(176,1)}
       151:{1,3,4,7}:{(120,1),(122,1),(170,1),(177,1),(179,1),(204,1)}
       152:{2,3,4,7}:{(120,1),(123,1),(127,1),(178,1),(179,1),(183,1)}
       153:{1,3,5}:{(121,1),(122,1),(173,1),(180,1)}
       154:{2,3,5}:{(121,1),(123,1),(130,1),(180,1)}
       155:{1,2,4,6}:{(122,1),(123,1),(179,1),(180,1),(181,1),(206,1),(207,1)}
       156:{3,4,6}:{(124,1),(125,1),(162,1),(176,1),(182,1)}
       157:{2,4,5,7}:{(125,1),(127,1),(130,1),(163,1),(178,1),(182,1)}
       158:{1,2,4,7}:{(126,1),(127,1),(128,1),(131,1),(183,1)}
       159:{1,2,4,5}:{(129,1),(130,1),(131,1),(180,1),(184,1),(207,1)}
       160:{2,3,6}:{(131,1),(183,1),(184,1)}
       161:{2,5,6,7}:{(132,1),(139,1),(185,1)}
       162:{3,5,6}:{(133,1),(134,1),(156,1),(185,1)}
       163:{2,5,7}:{(134,1),(135,1),(185,1)}
       164:{2,4,5,7}:{(137,1),(186,1),(187,1)}
       165:{3,4,6,7}:{(137,1),(138,1),(142,1),(187,1),(188,1),(190,1)}
       166:{1,3,6,7}:{(138,1),(143,1),(188,1),(189,1),(195,1)}
       167:{2,3,6,7}:{(138,1),(139,1),(144,1),(189,1),(196,1)}
       168:{2,4,6}:{(140,1),(141,1),(190,1)}
       169:{3,4,5,7}:{(141,1),(142,1),(145,1),(150,1),(187,1),(190,1),(191,1)}
       170:{1,4,7}:{(142,1),(143,1),(146,1)}
       171:{2,3,4,7}:{(142,1),(144,1),(147,1),(192,1)}
       172:{1,2,5,7}:{(143,1),(144,1),(148,1),(189,1),(192,1)}
       173:{1,4,5}:{(145,1),(146,1),(153,1)}
       174:{2,3,4,5}:{(145,1),(147,1),(154,1),(193,1),(200,1)}
       175:{1,2,4,6}:{(146,1),(147,1),(148,1),(192,1),(193,1),(194,1)}
       176:{3,6}:{(149,1),(150,1)}
       177:{1,3,5,7}:{(150,1),(151,1),(153,1),(191,1),(195,1),(197,1)}
       178:{2,3,5,7}:{(150,1),(152,1),(154,1),(157,1),(196,1),(197,1)}
       179:{1,2,4,7}:{(151,1),(152,1),(155,1),(197,1),(198,1)}
       180:{1,2,5}:{(153,1),(154,1),(155,1)}
       181:{1,2,3,6}:{(155,1),(160,1),(194,1),(198,1),(199,1)}
       182:{2,4,6}:{(156,1),(157,1),(185,1),(196,1)}
       183:{2,3,7}:{(158,1),(160,1)}
       184:{2,3,5}:{(159,1),(160,1),(200,1)}
       185:{2,5,6}:{(162,1),(163,1),(182,1)}
       186:{2,4,5,6}:{(164,1),(168,1),(201,1)}
       187:{3,5,7}:{(164,1),(165,1),(201,1),(202,1)}
       188:{1,4,6,7}:{(165,1),(166,1),(170,1),(202,1),(203,1)}
       189:{1,2,6,7}:{(166,1),(167,1),(172,1),(206,1)}
       190:{3,4,6}:{(168,1),(169,1),(176,1),(201,1),(203,1)}
       191:{1,4,5,7}:{(169,1),(170,1),(173,1),(177,1),(202,1),(203,1)}
       192:{1,2,4,7}:{(170,1),(171,1),(172,1),(175,1),(204,1)}
       193:{1,2,4,5}:{(173,1),(174,1),(175,1),(180,1),(205,1),(207,1)}
       194:{1,3,6}:{(175,1),(204,1),(205,1)}
       195:{1,3,6}:{(176,1),(177,1),(203,1),(206,1)}
       196:{2,3,6}:{(176,1),(178,1),(182,1),(206,1)}
       197:{1,2,5,7}:{(177,1),(178,1),(179,1),(180,1),(206,1)}
       198:{1,2,3,7}:{(179,1),(181,1),(183,1),(204,1)}
       199:{1,2,3,5}:{(180,1),(181,1),(184,1),(205,1),(207,1)}
       200:{2,3,4}:{(184,1),(207,1)}
       201:{3,5,6}:{(186,1),(187,1),(190,1),(208,1)}
       202:{1,5,7}:{(187,1),(188,1),(208,1)}
       203:{1,4,6}:{(190,1),(191,1),(195,1),(208,1)}
       204:{1,3,7}:{(192,1),(194,1)}
       205:{1,3,5}:{(193,1),(194,1),(209,1)}
       206:{1,2,6}:{(195,1),(196,1),(197,1)}
       207:{1,2,4}:{(199,1),(200,1),(209,1)}
       208:{1,5,6}:{(201,1),(202,1),(203,1)}
       209:{1,3,4}:{(205,1),(207,1)}

1606 :   0:{2,4,5,6,7}:{(1,1),(11,1),(198,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(4,1),(203,1)}
         2:{3,4,5,6}:{(7,1),(8,1),(9,1),(34,1),(167,1),(195,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(10,1),(11,1),(37,1),(195,1)}
         4:{1,5,6,7}:{(1,1),(10,1),(206,1)}
         5:{2,3,5,6,7}:{(1,1),(11,1),(12,1),(30,1),(37,1),(171,1)}
         6:{2,3,4,5,7}:{(13,1),(14,1),(30,1),(65,1),(69,1),(77,1),(112,1),(125,1),(163,1),(170,1)}
         7:{3,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(47,1)}
         8:{1,4,5,6}:{(2,1),(16,1),(18,1),(178,1),(200,1)}
         9:{2,4,5,6}:{(2,1),(17,1),(19,1),(151,1),(187,1)}
        10:{1,4,6,7}:{(3,1),(4,1),(16,1),(21,1),(200,1)}
        11:{2,4,6,7}:{(3,1),(5,1),(17,1),(187,1)}
        12:{1,2,5,6,7}:{(4,1),(5,1),(23,1),(24,1),(46,1),(94,1),(148,1)}
        13:{2,3,4,6}:{(6,1),(19,1),(25,1),(50,1),(140,1),(183,1),(187,1)}
        14:{1,2,4,5,7}:{(6,1),(25,1),(26,1),(46,1),(57,1),(87,1),(91,1),(99,1)}
        15:{1,3,4,5}:{(27,1),(28,1),(69,1),(108,1),(158,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(10,1),(29,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(11,1),(30,1)}
        18:{1,3,5,6}:{(8,1),(27,1),(29,1),(32,1),(34,1),(158,1),(191,1)}
        19:{2,3,5,6}:{(9,1),(13,1),(30,1),(33,1),(34,1),(122,1),(125,1)}
        20:{1,2,4,5,6}:{(8,1),(9,1),(31,1),(32,1),(33,1),(34,1),(67,1),(68,1),(74,1),(116,1),(122,1),(164,1)}
        21:{1,3,6,7}:{(10,1),(29,1),(35,1),(37,1),(191,1)}
        22:{2,3,4,6,7}:{(11,1),(13,1),(30,1),(36,1),(37,1),(65,1),(71,1)}
        23:{1,2,4,6,7}:{(10,1),(11,1),(12,1),(31,1),(35,1),(37,1),(38,1),(71,1),(164,1)}
        24:{1,3,5,6,7}:{(12,1),(37,1),(38,1),(64,1),(73,1),(123,1)}
        25:{1,2,4,6}:{(13,1),(14,1),(33,1),(39,1),(68,1)}
        26:{1,3,5,7}:{(14,1),(39,1),(41,1),(76,1),(163,1)}
        27:{1,3,4,6}:{(15,1),(18,1),(42,1),(43,1),(50,1)}
        28:{1,2,4,5}:{(15,1),(43,1),(44,1),(83,1),(90,1),(133,1)}
        29:{1,3,5,7}:{(16,1),(18,1),(21,1),(42,1),(45,1),(47,1)}
        30:{2,3,5,7}:{(17,1),(19,1),(22,1),(46,1),(47,1),(94,1)}
        31:{1,2,4,5,7}:{(16,1),(17,1),(20,1),(23,1),(45,1),(46,1),(47,1),(54,1),(86,1),(87,1),(94,1)}
        32:{1,2,5,6}:{(18,1),(43,1),(45,1),(48,1),(133,1),(176,1)}
        33:{1,2,5,6}:{(19,1),(25,1),(46,1),(49,1),(99,1)}
        34:{3,5,6}:{(20,1),(47,1),(50,1),(143,1),(183,1)}
        35:{1,2,6,7}:{(21,1),(45,1),(51,1),(176,1)}
        36:{1,2,4,6,7}:{(22,1),(25,1),(46,1),(52,1),(87,1)}
        37:{3,6,7}:{(23,1),(47,1),(183,1)}
        38:{1,4,6,7}:{(24,1),(53,1),(54,1),(87,1),(141,1)}
        39:{1,3,6}:{(25,1),(26,1),(183,1)}
        40:{1,2,3,5,7}:{(26,1),(55,1),(57,1),(99,1),(101,1)}
        41:{1,3,4,7}:{(26,1),(56,1),(57,1),(87,1),(138,1)}
        42:{1,3,4,7}:{(27,1),(29,1),(59,1),(65,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(32,1),(59,1),(60,1),(67,1)}
        44:{2,3,5}:{(28,1),(60,1),(62,1)}
        45:{1,2,5,7}:{(29,1),(32,1),(35,1),(59,1),(63,1)}
        46:{1,2,5,7}:{(30,1),(33,1),(36,1),(64,1)}
        47:{3,5,7}:{(31,1),(34,1),(37,1),(65,1)}
        48:{2,3,5,6}:{(32,1),(34,1),(60,1),(63,1),(67,1),(107,1),(122,1),(157,1)}
        49:{1,3,5,6}:{(33,1),(34,1),(39,1),(64,1),(68,1),(76,1)}
        50:{3,4,6}:{(34,1),(65,1),(67,1),(68,1),(69,1)}
        51:{2,3,6,7}:{(35,1),(37,1),(63,1),(71,1),(157,1)}
        52:{1,3,6,7}:{(36,1),(37,1),(39,1),(64,1)}
        53:{3,4,6,7}:{(37,1),(38,1),(65,1),(71,1),(73,1),(114,1)}
        54:{1,4,5,7}:{(38,1),(73,1),(74,1)}
        55:{1,2,3,6}:{(39,1),(40,1),(75,1),(128,1)}
        56:{1,3,4,6}:{(39,1),(41,1),(68,1),(75,1),(76,1),(115,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(75,1),(77,1)}
        58:{1,3,4,5,7}:{(41,1),(76,1),(78,1),(79,1),(113,1),(127,1),(163,1),(167,1),(190,1),(197,1)}
        59:{1,2,4,7}:{(42,1),(43,1),(45,1),(80,1),(86,1)}
        60:{2,3,6}:{(43,1),(44,1),(80,1)}
        61:{1,2,3,5}:{(44,1),(81,1),(83,1),(133,1),(135,1)}
        62:{2,3,4}:{(44,1),(83,1)}
        63:{2,3,5,7}:{(45,1),(47,1),(48,1),(51,1),(80,1),(86,1),(94,1)}
        64:{1,3,5,7}:{(46,1),(47,1),(49,1),(52,1),(87,1)}
        65:{3,4,7}:{(47,1),(50,1),(86,1),(87,1)}
        66:{1,2,3,5,6}:{(48,1),(49,1),(55,1),(81,1),(85,1),(89,1),(99,1),(133,1),(143,1),(148,1),(152,1),(176,1),(179,1),(183,1)}
        67:{2,4,6}:{(48,1),(50,1),(86,1),(90,1)}
        68:{1,4,6}:{(49,1),(50,1),(87,1),(91,1)}
        69:{3,4,5}:{(50,1),(90,1),(91,1),(143,1)}
        70:{1,2,3,6,7}:{(51,1),(52,1),(55,1),(85,1),(93,1),(154,1),(176,1),(183,1),(201,1)}
        71:{2,4,6,7}:{(51,1),(53,1),(86,1),(94,1),(140,1)}
        72:{1,3,4,6,7}:{(52,1),(53,1),(56,1),(87,1),(93,1),(95,1),(138,1),(141,1),(183,1)}
        73:{3,5,7}:{(53,1),(54,1),(94,1),(96,1)}
        74:{1,4,5,6}:{(54,1),(96,1),(141,1)}
        75:{1,2,4,6}:{(55,1),(56,1),(57,1),(98,1),(99,1)}
        76:{1,3,5}:{(56,1),(91,1),(99,1),(143,1)}
        77:{2,3,4,7}:{(57,1),(98,1),(101,1),(138,1),(189,1)}
        78:{1,2,4,5,7}:{(57,1),(58,1),(99,1),(101,1),(102,1),(151,1),(153,1),(189,1)}
        79:{1,3,4,6}:{(58,1),(100,1),(102,1),(141,1),(183,1),(185,1),(200,1)}
        80:{2,3,7}:{(59,1),(60,1)}
        81:{1,2,3,6}:{(60,1),(61,1),(104,1),(106,1),(161,1)}
        82:{2,3,4,6}:{(60,1),(62,1),(67,1),(105,1),(106,1),(107,1),(115,1),(157,1)}
        83:{1,2,4}:{(61,1),(62,1),(108,1)}
        84:{2,3,4,5}:{(62,1),(107,1),(109,1),(110,1),(167,1)}
        85:{1,2,3,5,7}:{(63,1),(64,1),(66,1),(70,1),(104,1),(111,1),(121,1),(156,1),(163,1),(174,1),(194,1)}
        86:{2,4,7}:{(63,1),(65,1),(67,1)}
        87:{1,4,7}:{(64,1),(65,1),(68,1)}
        88:{3,4,5,7}:{(65,1),(69,1),(73,1),(112,1),(113,1),(114,1),(163,1)}
        89:{1,2,4,6}:{(66,1),(67,1),(68,1),(111,1),(115,1),(116,1),(173,1),(193,1)}
        90:{2,4,5}:{(67,1),(69,1),(107,1)}
        91:{1,4,5}:{(68,1),(69,1),(76,1)}
        92:{3,4,5,6}:{(69,1),(114,1),(117,1),(118,1),(119,1),(168,1)}
        93:{1,2,4,6,7}:{(70,1),(71,1),(72,1),(75,1),(111,1),(120,1),(121,1),(164,1),(207,1)}
        94:{2,5,7}:{(71,1),(73,1),(122,1)}
        95:{1,3,5,7}:{(72,1),(73,1),(76,1),(113,1),(121,1),(123,1),(163,1)}
        96:{3,5,6}:{(73,1),(74,1),(114,1),(122,1)}
        97:{1,4,5,6,7}:{(74,1),(124,1),(166,1)}
        98:{2,3,4,6}:{(75,1),(77,1),(115,1),(125,1),(128,1),(173,1)}
        99:{1,2,5}:{(75,1),(76,1),(125,1)}
       100:{1,3,5,6}:{(76,1),(79,1),(118,1),(126,1),(127,1),(168,1),(206,1)}
       101:{2,3,5,7}:{(77,1),(78,1),(125,1),(128,1),(163,1)}
       102:{1,2,4,6}:{(78,1),(79,1),(126,1),(128,1),(173,1)}
       103:{1,3,4,6,7}:{(79,1),(127,1),(129,1),(166,1),(196,1),(197,1),(207,1)}
       104:{1,2,3,7}:{(80,1),(81,1),(130,1),(181,1)}
       105:{2,3,4,7}:{(80,1),(82,1),(86,1),(130,1),(131,1),(138,1)}
       106:{1,2,4,6}:{(81,1),(82,1),(83,1),(130,1),(132,1),(133,1),(176,1)}
       107:{2,3,5}:{(82,1),(90,1),(133,1),(143,1)}
       108:{1,3,4}:{(83,1),(135,1)}
       109:{1,2,4,5}:{(83,1),(84,1),(133,1),(135,1),(136,1),(178,1)}
       110:{2,3,4,6}:{(84,1),(134,1),(136,1),(137,1),(185,1)}
       111:{1,2,4,7}:{(85,1),(86,1),(87,1),(89,1),(138,1),(189,1),(202,1)}
       112:{2,4,5,7}:{(86,1),(88,1),(90,1),(94,1),(131,1),(140,1)}
       113:{1,4,5,7}:{(87,1),(88,1),(91,1),(95,1),(141,1)}
       114:{3,4,6}:{(88,1),(96,1),(140,1),(141,1),(183,1)}
       115:{3,4,6}:{(89,1),(138,1),(143,1),(183,1)}
       116:{1,2,4,5}:{(89,1),(90,1),(91,1),(99,1),(133,1),(143,1),(151,1),(178,1)}
       117:{2,4,5,6}:{(90,1),(92,1),(134,1),(140,1),(145,1)}
       118:{1,4,5,6}:{(91,1),(92,1),(100,1),(141,1),(146,1)}
       119:{3,4,5,7}:{(92,1),(142,1),(145,1),(146,1),(186,1)}
       120:{2,3,4,6,7}:{(93,1),(98,1),(138,1),(147,1),(154,1),(183,1),(187,1),(189,1),(204,1)}
       121:{1,2,5,7}:{(93,1),(94,1),(95,1),(99,1),(147,1),(148,1),(209,1)}
       122:{2,5,6}:{(94,1),(96,1),(140,1)}
       123:{1,3,5,6}:{(95,1),(96,1),(141,1),(148,1),(183,1)}
       124:{3,5,6,7}:{(96,1),(97,1),(142,1),(149,1)}
       125:{2,3,5}:{(98,1),(99,1),(143,1),(151,1)}
       126:{1,2,5,6}:{(99,1),(100,1),(102,1),(152,1),(153,1)}
       127:{1,3,5,7}:{(100,1),(103,1),(146,1),(153,1),(186,1),(209,1)}
       128:{2,3,6}:{(101,1),(102,1),(183,1)}
       129:{1,2,4,6,7}:{(102,1),(103,1),(153,1),(154,1),(189,1)}
       130:{1,2,4,7}:{(104,1),(105,1),(106,1),(155,1),(156,1)}
       131:{2,3,5,7}:{(105,1),(107,1),(112,1),(156,1),(157,1),(163,1)}
       132:{1,3,4,6}:{(106,1),(108,1),(115,1),(155,1),(158,1),(161,1),(191,1),(193,1)}
       133:{1,2,5}:{(106,1),(107,1),(158,1)}
       134:{2,3,5,6}:{(107,1),(110,1),(117,1),(157,1),(159,1),(160,1),(168,1)}
       135:{1,3,5}:{(108,1),(109,1),(161,1)}
       136:{1,2,4,6}:{(109,1),(110,1),(159,1),(161,1),(162,1),(193,1)}
       137:{2,3,4,7}:{(110,1),(160,1),(162,1),(197,1)}
       138:{3,4,7}:{(111,1),(115,1),(163,1)}
       139:{1,2,4,5,7}:{(111,1),(112,1),(113,1),(116,1),(121,1),(156,1),(163,1),(164,1),(170,1),(190,1)}
       140:{2,4,6}:{(112,1),(114,1),(122,1),(157,1)}
       141:{1,4,6}:{(113,1),(114,1),(123,1)}
       142:{3,4,6,7}:{(114,1),(119,1),(124,1),(165,1),(166,1),(196,1)}
       143:{3,5}:{(115,1),(116,1)}
       144:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(126,1),(159,1),(164,1),(168,1),(169,1),(173,1),(193,1),(198,1),(206,1)}
       145:{2,4,5,7}:{(117,1),(119,1),(160,1),(165,1)}
       146:{1,4,5,7}:{(118,1),(119,1),(127,1),(166,1)}
       147:{2,3,5,7}:{(120,1),(121,1),(125,1),(163,1),(170,1),(171,1),(208,1)}
       148:{1,2,5,6}:{(121,1),(122,1),(123,1),(164,1),(171,1),(206,1)}
       149:{2,5,6,7}:{(122,1),(124,1),(165,1)}
       150:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(166,1),(172,1),(196,1)}
       151:{2,4,5}:{(125,1),(167,1),(173,1)}
       152:{2,3,5,6}:{(125,1),(126,1),(128,1),(168,1),(173,1),(174,1)}
       153:{1,2,5,7}:{(126,1),(127,1),(129,1),(174,1)}
       154:{2,3,6,7}:{(128,1),(129,1),(174,1),(196,1)}
       155:{1,3,4,7}:{(130,1),(132,1),(138,1),(175,1),(181,1),(202,1)}
       156:{1,2,5,7}:{(130,1),(131,1),(133,1),(175,1),(176,1)}
       157:{2,3,6}:{(131,1),(140,1),(176,1),(183,1)}
       158:{1,3,5}:{(132,1),(133,1),(143,1),(178,1)}
       159:{1,2,5,6}:{(133,1),(134,1),(136,1),(176,1),(179,1),(180,1)}
       160:{2,3,5,7}:{(134,1),(137,1),(145,1),(177,1),(180,1),(186,1)}
       161:{1,3,6}:{(135,1),(136,1),(181,1)}
       162:{1,2,4,7}:{(136,1),(137,1),(180,1),(181,1),(202,1)}
       163:{3,5,7}:{(138,1),(139,1),(143,1),(183,1)}
       164:{1,2,4,6}:{(139,1),(140,1),(141,1),(148,1),(176,1),(183,1),(187,1),(200,1)}
       165:{2,4,6,7}:{(140,1),(142,1),(145,1),(149,1),(177,1)}
       166:{1,4,6,7}:{(141,1),(142,1),(146,1),(150,1)}
       167:{3,4,5}:{(143,1),(151,1),(178,1),(185,1)}
       168:{3,5,6}:{(143,1),(144,1),(183,1),(185,1),(186,1)}
       169:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(153,1),(180,1),(184,1),(186,1),(189,1),(202,1),(205,1),(209,1)}
       170:{2,4,5,7}:{(147,1),(151,1),(182,1),(187,1),(189,1)}
       171:{2,3,5,6}:{(147,1),(148,1),(183,1),(187,1),(203,1)}
       172:{1,2,5,6,7}:{(148,1),(149,1),(150,1),(153,1),(184,1),(188,1),(209,1)}
       173:{2,4,6}:{(151,1),(152,1),(185,1),(189,1)}
       174:{2,3,5,7}:{(152,1),(153,1),(154,1),(186,1),(189,1)}
       175:{1,3,5,7}:{(155,1),(156,1),(158,1),(163,1),(190,1),(191,1)}
       176:{1,2,6}:{(156,1),(157,1),(191,1)}
       177:{2,3,6,7}:{(157,1),(160,1),(165,1),(192,1),(196,1)}
       178:{1,4,5}:{(158,1),(167,1),(193,1)}
       179:{1,3,5,6}:{(158,1),(159,1),(161,1),(168,1),(191,1),(193,1),(194,1),(206,1)}
       180:{1,2,5,7}:{(159,1),(160,1),(162,1),(192,1),(194,1)}
       181:{1,3,7}:{(161,1),(162,1)}
       182:{3,4,5,7}:{(163,1),(167,1),(170,1),(190,1),(195,1),(197,1),(208,1)}
       183:{3,6}:{(163,1),(164,1)}
       184:{1,2,4,6,7}:{(164,1),(165,1),(166,1),(169,1),(172,1),(192,1),(196,1),(199,1),(207,1)}
       185:{3,4,6}:{(167,1),(168,1),(173,1),(193,1),(197,1)}
       186:{3,5,7}:{(168,1),(169,1),(196,1),(197,1)}
       187:{2,4,6}:{(170,1),(171,1),(195,1)}
       188:{2,3,5,6,7}:{(171,1),(172,1),(174,1),(196,1),(199,1),(208,1)}
       189:{2,4,7}:{(173,1),(174,1),(197,1)}
       190:{1,4,5,7}:{(175,1),(178,1),(182,1),(200,1),(202,1),(209,1)}
       191:{1,3,6}:{(175,1),(176,1),(183,1),(200,1)}
       192:{1,2,6,7}:{(176,1),(177,1),(180,1),(201,1)}
       193:{1,4,6}:{(178,1),(179,1),(185,1),(202,1)}
       194:{1,3,5,7}:{(179,1),(180,1),(181,1),(186,1),(201,1),(202,1),(209,1)}
       195:{3,4,6}:{(182,1),(183,1),(187,1),(200,1),(203,1)}
       196:{3,6,7}:{(183,1),(184,1),(186,1)}
       197:{3,4,7}:{(185,1),(186,1),(189,1),(202,1)}
       198:{2,4,5,6}:{(187,1),(203,1),(205,1)}
       199:{2,4,6,7}:{(187,1),(188,1),(189,1),(204,1),(205,1)}
       200:{1,4,6}:{(190,1),(191,1),(195,1),(206,1)}
       201:{1,3,6,7}:{(191,1),(192,1),(194,1),(196,1),(207,1)}
       202:{1,4,7}:{(193,1),(194,1),(197,1)}
       203:{3,5,6}:{(195,1),(198,1),(206,1),(208,1)}
       204:{3,4,6,7}:{(195,1),(196,1),(197,1),(199,1),(207,1),(208,1)}
       205:{2,4,5,7}:{(198,1),(199,1),(208,1)}
       206:{1,5,6}:{(200,1),(203,1),(209,1)}
       207:{1,4,6,7}:{(200,1),(201,1),(202,1),(204,1),(209,1)}
       208:{3,5,7}:{(203,1),(204,1),(205,1),(209,1)}
       209:{1,5,7}:{(206,1),(207,1),(208,1)}

1607 :   0:{1,2,3,6,7}:{(2,1),(3,1),(33,1),(46,1),(81,1),(82,1),(83,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(4,1),(13,1),(17,1),(34,1),(46,1),(49,1),(82,1),(98,1),(104,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(24,1),(27,1),(50,1),(63,1),(90,1),(91,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(8,1),(28,1),(52,1),(67,1),(94,1),(95,1),(103,1)}
         4:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(27,1),(53,1),(58,1)}
         5:{1,2,3,5,6}:{(2,1),(11,1),(15,1),(33,1),(36,1),(46,1),(72,1),(73,1),(74,1),(81,1)}
         6:{1,3,4,6,7}:{(3,1),(12,1),(13,1),(35,1),(41,1),(46,1),(80,1),(83,1),(99,1),(104,1)}
         7:{1,2,4,7}:{(2,1),(11,1),(13,1),(68,1),(98,1),(99,1)}
         8:{1,2,5,7}:{(3,1),(4,1),(12,1),(15,1),(72,1),(76,1),(101,1)}
         9:{2,4,5,7}:{(4,1),(16,1),(17,1),(69,1),(98,1)}
        10:{2,3,5,6}:{(4,1),(15,1),(17,1),(38,1),(46,1)}
        11:{1,2,4,6}:{(5,1),(7,1),(19,1),(20,1),(86,1),(87,1)}
        12:{1,3,5,7}:{(6,1),(8,1),(22,1),(23,1),(27,1),(54,1),(93,1)}
        13:{3,4,7}:{(7,1),(19,1),(27,1),(84,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(20,1),(22,1),(27,1),(28,1),(30,1),(60,1),(63,1),(85,1),(103,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(23,1),(28,1),(57,1),(92,1)}
        16:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(51,1),(58,1),(88,1)}
        17:{2,4,6}:{(9,1),(10,1),(31,1)}
        18:{2,3,5,6,7}:{(10,1),(29,1),(32,1),(58,1),(66,1),(90,1)}
        19:{3,4,6}:{(11,1),(13,1),(36,1),(46,1)}
        20:{1,2,4,5}:{(11,1),(36,1),(69,1),(70,1),(72,1)}
        21:{2,4,5,6}:{(17,1),(38,1),(39,1)}
        22:{1,4,5,7}:{(12,1),(40,1),(41,1),(70,1),(99,1)}
        23:{1,3,5,6}:{(12,1),(15,1),(41,1),(46,1),(77,1)}
        24:{1,2,3,7}:{(33,1),(43,1),(104,1)}
        25:{2,3,4,7}:{(13,1),(34,1),(43,1),(44,1),(98,1),(104,1)}
        26:{1,3,4,7}:{(13,1),(35,1),(43,1),(45,1),(99,1),(104,1)}
        27:{3,5,7}:{(13,1),(14,1),(36,1),(46,1),(96,1),(104,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(17,1),(41,1),(46,1),(48,1),(79,1),(81,1)}
        29:{1,2,5,6,7}:{(15,1),(18,1),(42,1),(47,1),(76,1),(100,1),(101,1)}
        30:{1,4,5,7}:{(16,1),(45,1),(48,1),(70,1),(76,1),(99,1)}
        31:{3,4,6}:{(16,1),(17,1),(38,1),(46,1),(48,1)}
        32:{2,4,6,7}:{(17,1),(18,1),(39,1),(49,1),(98,1)}
        33:{1,2,3,6}:{(24,1),(50,1),(52,1),(102,1)}
        34:{2,3,4,6}:{(19,1),(25,1),(52,1),(53,1),(64,1),(84,1),(86,1),(102,1)}
        35:{1,3,4,6}:{(19,1),(26,1),(52,1),(54,1),(65,1),(84,1),(87,1),(102,1)}
        36:{3,5}:{(19,1),(20,1)}
        37:{1,2,4,5,6}:{(20,1),(21,1),(28,1),(55,1),(56,1),(57,1),(59,1),(86,1),(87,1),(89,1),(92,1)}
        38:{3,5,6}:{(21,1),(31,1),(57,1),(58,1)}
        39:{2,4,5,7}:{(21,1),(32,1),(58,1)}
        40:{3,4,5,7}:{(22,1),(27,1),(51,1),(60,1),(61,1),(88,1),(93,1)}
        41:{1,4,6}:{(22,1),(23,1),(61,1)}
        42:{1,3,5,6,7}:{(23,1),(29,1),(62,1),(66,1),(91,1),(93,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(26,1),(52,1),(63,1)}
        44:{2,3,5,7}:{(25,1),(27,1),(53,1),(60,1),(63,1),(64,1)}
        45:{1,3,5,7}:{(26,1),(27,1),(30,1),(54,1),(63,1),(65,1)}
        46:{3,6}:{(27,1),(28,1)}
        47:{1,2,4,6,7}:{(28,1),(29,1),(32,1),(56,1),(62,1),(66,1),(67,1),(94,1),(95,1),(103,1)}
        48:{1,4,6}:{(30,1),(31,1),(57,1),(65,1)}
        49:{3,4,6,7}:{(31,1),(32,1),(58,1),(66,1),(67,1),(88,1)}
        50:{1,2,3,5}:{(33,1),(68,1),(72,1),(96,1)}
        51:{3,4,5}:{(36,1),(69,1),(70,1),(71,1),(96,1)}
        52:{1,2,4,6}:{(33,1),(34,1),(35,1),(43,1),(68,1),(72,1),(81,1)}
        53:{2,3,5}:{(34,1),(36,1),(69,1),(72,1),(96,1)}
        54:{1,3,5}:{(35,1),(36,1),(70,1),(72,1),(96,1)}
        55:{3,5,6}:{(36,1),(37,1),(46,1),(71,1),(75,1)}
        56:{1,2,4,5,7}:{(37,1),(39,1),(47,1),(75,1),(76,1),(78,1),(98,1),(99,1),(100,1),(101,1)}
        57:{1,5,6}:{(38,1),(48,1),(76,1)}
        58:{3,5,7}:{(38,1),(39,1),(49,1),(76,1)}
        59:{1,4,5,6}:{(41,1),(77,1),(78,1)}
        60:{2,4,5,7}:{(40,1),(44,1),(69,1),(79,1),(98,1),(101,1)}
        61:{3,4,6}:{(40,1),(41,1),(46,1),(77,1),(79,1)}
        62:{1,4,6,7}:{(41,1),(42,1),(78,1),(80,1),(99,1)}
        63:{1,2,5,7}:{(43,1),(44,1),(45,1),(72,1),(81,1)}
        64:{2,3,6}:{(44,1),(46,1),(79,1),(81,1)}
        65:{1,3,6}:{(45,1),(46,1),(48,1),(81,1)}
        66:{3,6,7}:{(46,1),(47,1),(75,1),(104,1)}
        67:{1,4,6,7}:{(48,1),(49,1),(76,1),(83,1),(99,1)}
        68:{1,2,4}:{(50,1),(84,1)}
        69:{2,4,5}:{(51,1),(53,1),(86,1)}
        70:{1,4,5}:{(51,1),(54,1),(87,1)}
        71:{3,4,6}:{(51,1),(55,1),(86,1),(87,1),(88,1),(102,1)}
        72:{1,2,5}:{(52,1),(53,1),(54,1)}
        73:{2,3,5,6}:{(53,1),(55,1),(64,1),(86,1),(89,1),(90,1),(92,1),(102,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(57,1),(65,1),(87,1),(89,1),(91,1),(102,1)}
        75:{3,5,7}:{(55,1),(56,1),(66,1),(88,1)}
        76:{1,5,7}:{(57,1),(58,1),(67,1)}
        77:{3,5,6}:{(59,1),(61,1),(92,1),(93,1)}
        78:{1,4,5,7}:{(59,1),(62,1),(93,1)}
        79:{2,4,6}:{(60,1),(61,1),(64,1),(92,1)}
        80:{3,4,6,7}:{(61,1),(62,1),(66,1),(88,1),(93,1),(94,1)}
        81:{1,2,6}:{(63,1),(64,1),(65,1)}
        82:{2,3,6,7}:{(64,1),(66,1),(90,1),(94,1),(95,1)}
        83:{1,3,6,7}:{(65,1),(66,1),(67,1),(91,1),(95,1)}
        84:{3,4}:{(68,1),(96,1)}
        85:{1,2,4,5}:{(68,1),(69,1),(70,1),(72,1),(96,1),(97,1)}
        86:{2,4,6}:{(69,1),(71,1),(73,1),(98,1)}
        87:{1,4,6}:{(70,1),(71,1),(74,1),(99,1)}
        88:{3,4,7}:{(71,1),(75,1),(98,1),(99,1),(104,1)}
        89:{1,2,5,6}:{(72,1),(73,1),(74,1),(81,1),(97,1),(100,1)}
        90:{2,3,5,7}:{(73,1),(75,1),(82,1),(98,1),(100,1),(101,1),(104,1)}
        91:{1,3,5,7}:{(74,1),(75,1),(76,1),(83,1),(99,1),(100,1),(104,1)}
        92:{2,5,6}:{(77,1),(79,1),(101,1)}
        93:{3,5,7}:{(77,1),(78,1),(80,1),(101,1)}
        94:{2,4,6,7}:{(79,1),(80,1),(82,1),(98,1),(101,1)}
        95:{1,2,6,7}:{(81,1),(82,1),(83,1),(100,1)}
        96:{3,5}:{(84,1),(85,1),(102,1)}
        97:{1,2,4,6}:{(85,1),(86,1),(87,1),(89,1),(102,1),(103,1)}
        98:{2,4,7}:{(86,1),(88,1),(90,1)}
        99:{1,4,7}:{(87,1),(88,1),(91,1)}
       100:{1,2,5,7}:{(89,1),(90,1),(91,1),(95,1),(103,1)}
       101:{2,5,7}:{(92,1),(93,1),(94,1)}
       102:{3,6}:{(96,1),(97,1),(104,1)}
       103:{1,2,4,7}:{(97,1),(98,1),(99,1),(100,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1608 :   0:{2,3,4,6,7}:{(1,1),(2,1),(15,1),(21,1),(38,1),(40,1),(48,1),(76,1),(86,1),(111,1),(117,1)}
         1:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(23,1),(24,1),(36,1),(69,1),(103,1),(123,1)}
         2:{2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(25,1),(35,1),(93,1),(120,1)}
         3:{1,3,5,6,7}:{(9,1),(10,1),(22,1),(31,1),(32,1),(63,1),(67,1)}
         4:{2,3,5,6,7}:{(7,1),(9,1),(11,1),(31,1),(35,1),(68,1),(101,1)}
         5:{1,3,6,7}:{(1,1),(12,1),(40,1),(117,1),(133,1)}
         6:{1,2,5,7}:{(1,1),(2,1),(12,1),(13,1),(53,1),(130,1)}
         7:{2,3,5,6}:{(2,1),(13,1),(15,1),(40,1),(44,1)}
         8:{2,4,5,7}:{(2,1),(15,1),(16,1),(86,1),(108,1)}
         9:{1,2,5,6,7}:{(3,1),(4,1),(13,1),(17,1),(51,1),(53,1),(84,1),(87,1)}
        10:{1,4,6,7}:{(3,1),(18,1),(19,1),(37,1),(82,1),(85,1)}
        11:{2,4,6,7}:{(4,1),(15,1),(20,1),(21,1),(86,1),(115,1)}
        12:{1,3,5,7}:{(5,1),(6,1),(22,1),(23,1),(25,1),(136,1)}
        13:{1,2,5,6}:{(6,1),(7,1),(22,1),(24,1),(65,1),(93,1)}
        14:{1,2,4,5,7}:{(6,1),(8,1),(23,1),(24,1),(25,1),(29,1),(54,1),(57,1),(61,1),(93,1),(103,1),(121,1)}
        15:{2,4,6}:{(7,1),(8,1),(28,1)}
        16:{3,4,5,7}:{(8,1),(25,1),(28,1),(29,1),(35,1),(66,1),(91,1)}
        17:{1,2,4,6,7}:{(9,1),(10,1),(11,1),(24,1),(30,1),(31,1),(34,1),(36,1),(69,1),(100,1),(103,1)}
        18:{1,4,5,7}:{(10,1),(26,1),(32,1),(54,1)}
        19:{3,4,6,7}:{(10,1),(31,1),(32,1),(34,1),(55,1),(62,1),(66,1)}
        20:{2,4,5,7}:{(11,1),(27,1),(35,1),(127,1)}
        21:{3,4,6,7}:{(11,1),(28,1),(31,1),(35,1),(36,1),(66,1),(126,1)}
        22:{1,3,5,6}:{(12,1),(13,1),(37,1),(40,1),(74,1)}
        23:{1,4,7}:{(12,1),(37,1),(38,1),(139,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(15,1),(37,1),(40,1),(45,1),(76,1),(81,1)}
        25:{3,5,7}:{(14,1),(38,1),(40,1),(74,1),(117,1),(131,1)}
        26:{1,4,5,6}:{(18,1),(43,1),(82,1)}
        27:{2,4,5,6}:{(15,1),(20,1),(44,1)}
        28:{3,4,6}:{(15,1),(16,1),(40,1),(44,1),(45,1)}
        29:{1,4,5,7}:{(16,1),(41,1),(45,1),(53,1),(85,1),(107,1)}
        30:{1,2,4,5,7}:{(17,1),(18,1),(20,1),(39,1),(46,1),(51,1),(53,1),(85,1),(86,1),(87,1)}
        31:{3,6,7}:{(17,1),(40,1),(46,1),(114,1),(117,1)}
        32:{3,5,7}:{(18,1),(19,1),(43,1),(51,1),(74,1)}
        33:{1,3,4,6,7}:{(19,1),(47,1),(50,1),(52,1),(75,1),(82,1),(85,1),(114,1),(117,1),(119,1),(134,1)}
        34:{2,4,6,7}:{(19,1),(48,1),(51,1),(76,1),(83,1),(86,1)}
        35:{3,5,7}:{(20,1),(21,1),(44,1),(53,1),(135,1)}
        36:{1,4,6,7}:{(21,1),(45,1),(47,1),(53,1),(85,1),(134,1)}
        37:{1,4,6}:{(22,1),(23,1),(54,1),(55,1)}
        38:{3,4,7}:{(23,1),(25,1),(55,1),(57,1),(137,1)}
        39:{1,2,4,5,6}:{(24,1),(26,1),(27,1),(30,1),(54,1),(58,1),(64,1),(65,1),(93,1),(96,1),(97,1),(98,1),(100,1),(121,1),(127,1),(138,1)}
        40:{3,6}:{(24,1),(25,1)}
        41:{1,3,5,7}:{(25,1),(29,1),(56,1),(59,1),(61,1),(92,1)}
        42:{2,3,5,7}:{(25,1),(57,1),(60,1),(61,1),(93,1),(95,1),(122,1)}
        43:{3,5,6}:{(26,1),(32,1),(62,1),(64,1)}
        44:{3,5,6}:{(27,1),(28,1),(35,1),(65,1)}
        45:{1,4,6}:{(28,1),(29,1),(59,1),(65,1)}
        46:{3,5,7}:{(30,1),(31,1),(58,1),(66,1)}
        47:{1,3,6,7}:{(31,1),(36,1),(59,1),(67,1),(69,1),(125,1)}
        48:{2,3,6,7}:{(31,1),(34,1),(60,1),(68,1),(69,1),(99,1)}
        49:{3,4,5,7}:{(32,1),(62,1),(66,1),(70,1),(71,1),(91,1),(105,1)}
        50:{1,3,5,7}:{(32,1),(33,1),(63,1),(70,1),(72,1),(92,1),(105,1),(138,1)}
        51:{2,5,7}:{(32,1),(34,1),(64,1),(93,1)}
        52:{1,2,4,6,7}:{(33,1),(34,1),(69,1),(72,1),(73,1),(94,1),(100,1),(103,1),(106,1)}
        53:{1,5,7}:{(35,1),(36,1),(65,1),(138,1)}
        54:{1,4,5}:{(37,1),(74,1)}
        55:{3,4,6}:{(37,1),(38,1),(40,1),(74,1),(76,1)}
        56:{1,3,4,7}:{(38,1),(41,1),(75,1),(77,1),(85,1),(117,1)}
        57:{2,4,7}:{(38,1),(42,1),(76,1),(132,1)}
        58:{3,5,6}:{(39,1),(40,1),(46,1),(74,1),(78,1),(114,1),(131,1),(135,1)}
        59:{1,3,6}:{(40,1),(41,1),(45,1),(81,1)}
        60:{2,3,6}:{(40,1),(42,1),(76,1),(81,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(77,1),(81,1),(109,1)}
        62:{3,4,6}:{(43,1),(49,1),(82,1),(83,1),(114,1)}
        63:{1,3,5,6}:{(43,1),(50,1),(82,1),(84,1),(114,1)}
        64:{2,5,6}:{(43,1),(51,1),(83,1)}
        65:{1,5,6}:{(44,1),(45,1),(53,1)}
        66:{3,4,7}:{(46,1),(78,1),(85,1),(86,1),(117,1)}
        67:{1,3,5,7}:{(46,1),(47,1),(53,1),(79,1),(85,1),(87,1),(117,1)}
        68:{2,3,5,7}:{(46,1),(48,1),(51,1),(80,1),(86,1),(87,1),(117,1)}
        69:{1,2,6,7}:{(47,1),(48,1),(81,1),(87,1),(113,1)}
        70:{1,4,5,7}:{(49,1),(50,1),(82,1),(85,1),(107,1)}
        71:{2,4,5,7}:{(49,1),(51,1),(83,1),(86,1),(88,1),(108,1)}
        72:{1,2,5,7}:{(50,1),(51,1),(52,1),(84,1),(90,1),(109,1)}
        73:{2,3,6,7}:{(52,1),(90,1),(110,1),(114,1),(117,1)}
        74:{3,5}:{(54,1),(55,1),(93,1)}
        75:{1,3,4,6}:{(55,1),(56,1),(59,1),(92,1),(94,1),(96,1),(124,1),(137,1)}
        76:{2,4,6}:{(55,1),(57,1),(60,1),(93,1)}
        77:{1,2,4,7}:{(56,1),(57,1),(61,1),(94,1),(95,1)}
        78:{3,4,6}:{(58,1),(66,1),(91,1),(96,1),(97,1),(124,1),(137,1)}
        79:{1,3,5,6}:{(58,1),(59,1),(65,1),(67,1),(92,1),(96,1),(98,1),(124,1),(125,1),(136,1),(138,1)}
        80:{2,3,5,6}:{(58,1),(60,1),(64,1),(68,1),(93,1),(97,1),(98,1),(99,1),(120,1),(122,1),(124,1)}
        81:{1,2,6}:{(59,1),(60,1),(61,1)}
        82:{1,4,6}:{(62,1),(63,1),(70,1)}
        83:{2,4,6}:{(62,1),(64,1),(71,1),(99,1)}
        84:{1,2,5,6}:{(63,1),(64,1),(72,1),(100,1),(101,1),(138,1)}
        85:{1,4,7}:{(66,1),(67,1),(96,1)}
        86:{2,4,7}:{(66,1),(68,1),(97,1)}
        87:{1,2,5,7}:{(67,1),(68,1),(69,1),(98,1),(103,1)}
        88:{2,3,5,7}:{(71,1),(99,1),(102,1),(104,1),(105,1),(120,1)}
        89:{1,2,4,5,7}:{(70,1),(71,1),(72,1),(100,1),(103,1),(104,1),(105,1),(106,1),(121,1),(127,1),(129,1),(138,1)}
        90:{2,3,5,7}:{(72,1),(73,1),(101,1),(105,1),(106,1),(122,1)}
        91:{3,4,5}:{(74,1),(78,1),(107,1),(108,1),(131,1),(135,1)}
        92:{1,3,5}:{(74,1),(75,1),(107,1),(109,1),(131,1)}
        93:{2,5}:{(74,1),(76,1)}
        94:{1,2,4,6}:{(75,1),(76,1),(77,1),(81,1),(109,1),(110,1),(132,1)}
        95:{2,3,7}:{(77,1),(110,1),(117,1)}
        96:{1,4,6}:{(78,1),(79,1),(85,1),(107,1),(139,1)}
        97:{2,4,6}:{(78,1),(80,1),(86,1),(108,1),(132,1)}
        98:{1,2,5,6}:{(79,1),(80,1),(81,1),(87,1),(109,1),(112,1),(113,1),(130,1)}
        99:{2,3,6}:{(83,1),(88,1),(113,1),(114,1)}
       100:{1,2,4,6}:{(82,1),(83,1),(84,1),(89,1),(113,1),(114,1),(115,1),(134,1)}
       101:{2,3,5,6}:{(84,1),(90,1),(114,1),(115,1),(135,1)}
       102:{2,3,4,7}:{(86,1),(88,1),(111,1),(116,1),(117,1),(119,1)}
       103:{1,2,4,7}:{(85,1),(86,1),(87,1),(112,1),(117,1)}
       104:{1,2,5,7}:{(88,1),(113,1),(116,1),(118,1),(130,1)}
       105:{3,5,7}:{(89,1),(114,1),(117,1),(119,1),(131,1),(135,1)}
       106:{2,4,7}:{(90,1),(115,1),(119,1),(132,1)}
       107:{1,4,5}:{(91,1),(92,1),(96,1),(138,1)}
       108:{2,4,5}:{(91,1),(93,1),(97,1),(120,1)}
       109:{1,2,5}:{(92,1),(93,1),(94,1),(122,1)}
       110:{2,3,6}:{(94,1),(95,1),(122,1),(124,1)}
       111:{2,3,4,6}:{(97,1),(99,1),(102,1),(120,1),(123,1),(124,1),(126,1),(137,1)}
       112:{1,2,4,6}:{(96,1),(97,1),(98,1),(103,1),(121,1),(124,1)}
       113:{1,2,6}:{(99,1),(104,1),(125,1)}
       114:{3,6}:{(100,1),(105,1)}
       115:{2,4,6}:{(101,1),(106,1),(126,1),(127,1)}
       116:{1,2,4,7}:{(102,1),(104,1),(123,1),(128,1),(129,1)}
       117:{3,7}:{(103,1),(124,1)}
       118:{1,3,5,7}:{(104,1),(105,1),(125,1),(128,1),(129,1),(136,1),(138,1)}
       119:{3,4,7}:{(105,1),(106,1),(126,1),(129,1),(137,1)}
       120:{2,3,5}:{(108,1),(111,1),(130,1),(131,1),(135,1)}
       121:{1,2,4,5}:{(107,1),(108,1),(109,1),(112,1),(130,1),(131,1),(132,1),(139,1)}
       122:{2,3,5}:{(109,1),(110,1),(131,1),(132,1)}
       123:{1,2,4,6}:{(111,1),(113,1),(116,1),(130,1),(133,1),(134,1),(139,1)}
       124:{3,6}:{(112,1),(117,1),(131,1)}
       125:{1,3,6}:{(113,1),(114,1),(118,1),(134,1)}
       126:{3,4,6}:{(114,1),(115,1),(119,1),(134,1),(135,1)}
       127:{2,4,5}:{(115,1),(135,1)}
       128:{1,3,7}:{(116,1),(117,1),(133,1)}
       129:{1,4,7}:{(118,1),(119,1),(134,1),(139,1)}
       130:{1,2,5}:{(120,1),(123,1),(136,1),(138,1)}
       131:{3,5}:{(121,1),(124,1),(137,1)}
       132:{2,4}:{(122,1),(137,1)}
       133:{1,3,6}:{(123,1),(124,1),(128,1),(136,1)}
       134:{1,4,6}:{(125,1),(126,1),(129,1),(138,1)}
       135:{3,5}:{(126,1),(127,1),(138,1)}
       136:{1,3,5}:{(130,1),(131,1),(133,1),(139,1)}
       137:{3,4}:{(131,1),(132,1),(139,1)}
       138:{1,5}:{(134,1),(135,1)}
       139:{1,4}:{(136,1),(137,1)}

1609 :   0:{1,3,4,5,6}:{(1,1),(2,1),(18,1),(57,1),(63,1)}
         1:{1,2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(49,1),(52,1)}
         2:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(28,1),(48,1),(53,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(40,1),(43,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(44,1)}
         6:{1,2,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(47,1),(49,1)}
         7:{2,3,4,6}:{(3,1),(11,1),(13,1),(14,1)}
         8:{2,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,2,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(34,1)}
        10:{1,3,5,6,7}:{(5,1),(16,1),(17,1),(35,1),(48,1)}
        11:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
        12:{1,2,3,5,7}:{(6,1),(8,1),(20,1),(21,1),(37,1),(40,1)}
        13:{2,3,4,5}:{(7,1),(19,1)}
        14:{2,3,4,7}:{(7,1),(8,1),(20,1)}
        15:{2,3,6,7}:{(8,1),(9,1)}
        16:{1,2,5,6,7}:{(9,1),(10,1),(24,1),(40,1)}
        17:{1,4,5,6,7}:{(10,1),(26,1),(58,1)}
        18:{1,3,4,6}:{(11,1),(27,1),(28,1),(47,1)}
        19:{1,2,4,5}:{(11,1),(13,1),(27,1)}
        20:{1,2,4,7}:{(11,1),(12,1),(14,1),(28,1)}
        21:{1,2,3,6,7}:{(12,1),(15,1),(30,1),(47,1)}
        22:{2,3,4,5,7}:{(13,1),(14,1),(29,1),(32,1),(33,1),(68,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1),(51,1)}
        24:{2,3,5,6,7}:{(15,1),(16,1),(33,1),(34,1),(35,1)}
        25:{1,2,4,5,6,7}:{(16,1),(17,1),(34,1),(35,1),(36,1),(50,1),(54,1),(56,1)}
        26:{3,4,5,6,7}:{(17,1),(35,1),(36,1),(68,1)}
        27:{1,3,5}:{(18,1),(19,1)}
        28:{1,3,4,7}:{(18,1),(20,1),(37,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(39,1),(40,1),(58,1)}
        30:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(39,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(24,1),(40,1),(41,1),(45,1),(57,1),(60,1),(81,1),(82,1),(83,1)}
        32:{2,3,4,6}:{(22,1),(39,1),(42,1),(77,1)}
        33:{2,3,5,7}:{(23,1),(40,1),(42,1),(43,1),(60,1)}
        34:{2,4,6,7}:{(24,1),(43,1),(44,1)}
        35:{3,5,6,7}:{(25,1),(44,1),(60,1)}
        36:{2,4,5,6,7}:{(26,1),(46,1),(79,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(47,1)}
        38:{1,3,4,6,7}:{(28,1),(30,1),(47,1),(48,1),(51,1),(67,1)}
        39:{1,2,4,6}:{(29,1),(32,1),(47,1),(49,1),(67,1)}
        40:{1,2,5,7}:{(30,1),(33,1),(48,1),(49,1)}
        41:{1,2,4,6,7}:{(31,1),(34,1),(50,1),(51,1),(54,1),(67,1),(87,1)}
        42:{2,3,5,6}:{(32,1),(33,1),(49,1),(52,1),(69,1)}
        43:{2,4,5,7}:{(33,1),(34,1),(52,1),(53,1)}
        44:{3,4,6,7}:{(34,1),(35,1),(53,1),(54,1)}
        45:{1,3,5,6,7}:{(35,1),(54,1),(56,1),(70,1),(76,1)}
        46:{2,3,5,6,7}:{(35,1),(36,1),(55,1),(56,1),(71,1)}
        47:{1,3,6}:{(37,1),(39,1)}
        48:{1,3,5,7}:{(38,1),(40,1),(57,1),(58,1),(60,1)}
        49:{1,2,5,6}:{(39,1),(40,1),(42,1),(57,1)}
        50:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(58,1),(59,1),(60,1),(64,1),(79,1),(82,1)}
        51:{3,4,6,7}:{(41,1),(60,1),(77,1)}
        52:{2,4,5,6}:{(42,1),(43,1),(63,1)}
        53:{3,4,5,7}:{(43,1),(44,1),(60,1),(63,1),(64,1)}
        54:{1,4,6,7}:{(44,1),(45,1),(64,1)}
        55:{2,3,4,6,7}:{(44,1),(46,1),(65,1),(66,1)}
        56:{1,2,5,6,7}:{(45,1),(46,1),(66,1),(82,1)}
        57:{1,3,5,6}:{(47,1),(48,1),(49,1),(67,1),(69,1)}
        58:{1,4,5,7}:{(48,1),(67,1),(68,1)}
        59:{1,2,4,5,6}:{(49,1),(50,1),(52,1),(67,1),(69,1),(73,1),(87,1),(89,1)}
        60:{3,5,7}:{(50,1),(51,1),(69,1)}
        61:{1,3,4,6,7}:{(51,1),(54,1),(70,1),(72,1),(76,1),(86,1),(92,1)}
        62:{2,3,4,6,7}:{(51,1),(71,1),(72,1),(87,1),(98,1),(99,1)}
        63:{3,4,5,6}:{(52,1),(53,1),(69,1),(73,1)}
        64:{1,4,5,7}:{(53,1),(54,1),(70,1),(73,1)}
        65:{2,3,4,5,7}:{(53,1),(55,1),(71,1),(74,1),(75,1),(99,1)}
        66:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(75,1),(76,1)}
        67:{1,4,6}:{(57,1),(58,1),(77,1)}
        68:{3,4,5,7}:{(58,1),(60,1),(77,1),(79,1)}
        69:{3,5,6}:{(59,1),(60,1),(77,1)}
        70:{1,3,5,7}:{(60,1),(61,1),(64,1),(80,1),(82,1)}
        71:{2,3,5,7}:{(60,1),(62,1),(79,1),(81,1),(82,1)}
        72:{1,2,4,6,7}:{(61,1),(62,1),(82,1),(83,1),(93,1),(96,1)}
        73:{1,4,5,6}:{(63,1),(64,1),(80,1)}
        74:{2,3,4,5,6}:{(63,1),(65,1),(81,1),(84,1),(102,1)}
        75:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(82,1),(84,1),(85,1),(96,1)}
        76:{1,3,6,7}:{(66,1),(85,1)}
        77:{3,4,6}:{(67,1),(68,1),(69,1),(87,1)}
        78:{1,3,4,5,7}:{(68,1),(70,1),(86,1),(88,1),(92,1),(101,1)}
        79:{2,4,5,7}:{(68,1),(71,1),(87,1)}
        80:{1,3,5,6}:{(69,1),(70,1),(73,1),(86,1),(89,1)}
        81:{2,3,5,6}:{(69,1),(71,1),(87,1),(89,1),(98,1)}
        82:{1,2,5,7}:{(70,1),(71,1),(72,1),(89,1)}
        83:{1,2,3,6,7}:{(72,1),(76,1),(90,1),(98,1)}
        84:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(89,1),(91,1),(100,1)}
        85:{1,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,3,4,6}:{(77,1),(78,1),(80,1),(93,1)}
        87:{2,4,6}:{(77,1),(79,1),(81,1)}
        88:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(93,1),(94,1),(96,1),(103,1)}
        89:{1,2,5,6}:{(80,1),(81,1),(82,1),(93,1)}
        90:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(94,1),(95,1),(96,1)}
        91:{1,3,5,6}:{(84,1),(85,1),(97,1)}
        92:{1,3,4,7}:{(85,1),(96,1),(97,1)}
        93:{1,2,4,6}:{(86,1),(87,1),(88,1),(89,1),(98,1)}
        94:{2,3,5,7}:{(88,1),(98,1),(99,1),(104,1)}
        95:{1,2,3,5,6}:{(89,1),(90,1),(91,1),(98,1),(100,1),(104,1)}
        96:{1,2,4,7}:{(90,1),(92,1),(99,1),(100,1)}
        97:{1,3,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{2,3,6}:{(93,1),(94,1)}
        99:{2,3,4,7}:{(94,1),(96,1),(102,1)}
       100:{1,2,4,6}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{1,3,4,5}:{(97,1),(103,1)}
       102:{2,3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       103:{1,2,4,5}:{(100,1),(101,1),(104,1)}
       104:{2,3,5}:{(102,1),(103,1)}

1610 :   0:{2,4,5,6,7}:{(1,1),(9,1),(192,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(201,1)}
         2:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(31,1),(190,1)}
         3:{1,5,6,7}:{(1,1),(8,1),(206,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(27,1),(31,1),(157,1)}
         5:{3,4,5,6}:{(7,1),(11,1),(12,1),(36,1),(165,1),(190,1)}
         6:{2,3,4,5,7}:{(13,1),(14,1),(27,1),(60,1),(71,1),(74,1),(103,1),(120,1),(152,1),(156,1)}
         7:{3,4,5,7}:{(2,1),(5,1),(15,1),(16,1),(43,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(199,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(176,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(19,1),(20,1),(42,1),(83,1),(133,1)}
        11:{1,4,5,6}:{(5,1),(15,1),(21,1),(181,1),(199,1)}
        12:{2,4,5,6}:{(5,1),(16,1),(22,1),(145,1),(176,1)}
        13:{2,3,4,6}:{(6,1),(22,1),(24,1),(52,1),(129,1),(174,1),(176,1)}
        14:{1,2,4,5,7}:{(6,1),(24,1),(25,1),(42,1),(55,1),(80,1),(92,1),(95,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(11,1),(26,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(12,1),(27,1)}
        17:{1,3,6,7}:{(8,1),(26,1),(29,1),(31,1),(188,1)}
        18:{2,3,4,6,7}:{(9,1),(13,1),(27,1),(30,1),(31,1),(60,1),(62,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(28,1),(29,1),(31,1),(32,1),(62,1),(153,1)}
        20:{1,3,5,6,7}:{(10,1),(31,1),(32,1),(59,1),(64,1),(109,1)}
        21:{1,3,5,6}:{(11,1),(26,1),(33,1),(34,1),(36,1),(162,1),(188,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(27,1),(35,1),(36,1),(108,1),(120,1)}
        23:{1,2,4,5,6}:{(11,1),(12,1),(28,1),(34,1),(35,1),(36,1),(65,1),(69,1),(70,1),(108,1),(116,1),(153,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(35,1),(37,1),(70,1)}
        25:{1,3,5,7}:{(14,1),(37,1),(39,1),(73,1),(152,1)}
        26:{1,3,5,7}:{(15,1),(17,1),(21,1),(40,1),(41,1),(43,1)}
        27:{2,3,5,7}:{(16,1),(18,1),(22,1),(42,1),(43,1),(83,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(19,1),(23,1),(41,1),(42,1),(43,1),(47,1),(79,1),(80,1),(83,1)}
        29:{1,2,6,7}:{(17,1),(41,1),(44,1),(171,1)}
        30:{1,2,4,6,7}:{(18,1),(24,1),(42,1),(45,1),(80,1)}
        31:{3,6,7}:{(19,1),(43,1),(174,1)}
        32:{1,4,6,7}:{(20,1),(46,1),(47,1),(80,1),(130,1)}
        33:{1,3,4,6}:{(21,1),(40,1),(48,1),(49,1),(52,1)}
        34:{1,2,5,6}:{(21,1),(41,1),(49,1),(50,1),(139,1),(171,1)}
        35:{1,2,5,6}:{(22,1),(24,1),(42,1),(51,1),(95,1)}
        36:{3,5,6}:{(23,1),(43,1),(52,1),(141,1),(174,1)}
        37:{1,3,6}:{(24,1),(25,1),(174,1)}
        38:{1,2,3,5,7}:{(25,1),(53,1),(55,1),(95,1),(97,1)}
        39:{1,3,4,7}:{(25,1),(54,1),(55,1),(80,1),(127,1)}
        40:{1,3,4,7}:{(26,1),(33,1),(57,1),(60,1)}
        41:{1,2,5,7}:{(26,1),(29,1),(34,1),(57,1),(58,1)}
        42:{1,2,5,7}:{(27,1),(30,1),(35,1),(59,1)}
        43:{3,5,7}:{(28,1),(31,1),(36,1),(60,1)}
        44:{2,3,6,7}:{(29,1),(31,1),(58,1),(62,1),(151,1)}
        45:{1,3,6,7}:{(30,1),(31,1),(37,1),(59,1)}
        46:{3,4,6,7}:{(31,1),(32,1),(60,1),(62,1),(64,1),(105,1)}
        47:{1,4,5,7}:{(32,1),(64,1),(65,1)}
        48:{1,3,4,5}:{(33,1),(66,1),(71,1),(159,1),(162,1)}
        49:{1,2,4,6}:{(33,1),(34,1),(57,1),(66,1),(67,1),(69,1)}
        50:{2,3,5,6}:{(34,1),(36,1),(58,1),(67,1),(69,1),(108,1),(114,1),(151,1)}
        51:{1,3,5,6}:{(35,1),(36,1),(37,1),(59,1),(70,1),(73,1)}
        52:{3,4,6}:{(36,1),(60,1),(69,1),(70,1),(71,1)}
        53:{1,2,3,6}:{(37,1),(38,1),(72,1),(123,1)}
        54:{1,3,4,6}:{(37,1),(39,1),(70,1),(72,1),(73,1),(115,1)}
        55:{1,2,4,7}:{(38,1),(39,1),(72,1),(74,1)}
        56:{1,3,4,5,7}:{(39,1),(73,1),(75,1),(76,1),(104,1),(122,1),(152,1),(165,1),(187,1),(198,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(49,1),(77,1),(79,1)}
        58:{2,3,5,7}:{(41,1),(43,1),(44,1),(50,1),(77,1),(79,1),(83,1)}
        59:{1,3,5,7}:{(42,1),(43,1),(45,1),(51,1),(80,1)}
        60:{3,4,7}:{(43,1),(52,1),(79,1),(80,1)}
        61:{1,2,3,6,7}:{(44,1),(45,1),(53,1),(78,1),(82,1),(148,1),(171,1),(174,1),(200,1)}
        62:{2,4,6,7}:{(44,1),(46,1),(79,1),(83,1),(129,1)}
        63:{1,3,4,6,7}:{(45,1),(46,1),(54,1),(80,1),(82,1),(84,1),(127,1),(130,1),(174,1)}
        64:{3,5,7}:{(46,1),(47,1),(83,1),(85,1)}
        65:{1,4,5,6}:{(47,1),(85,1),(130,1)}
        66:{1,2,4,5}:{(48,1),(49,1),(87,1),(91,1),(136,1),(139,1)}
        67:{2,3,6}:{(49,1),(77,1),(87,1)}
        68:{1,2,3,5,6}:{(50,1),(51,1),(53,1),(78,1),(88,1),(90,1),(95,1),(133,1),(139,1),(141,1),(146,1),(171,1),(174,1),(182,1)}
        69:{2,4,6}:{(50,1),(52,1),(79,1),(91,1)}
        70:{1,4,6}:{(51,1),(52,1),(80,1),(92,1)}
        71:{3,4,5}:{(52,1),(91,1),(92,1),(141,1)}
        72:{1,2,4,6}:{(53,1),(54,1),(55,1),(94,1),(95,1)}
        73:{1,3,5}:{(54,1),(92,1),(95,1),(141,1)}
        74:{2,3,4,7}:{(55,1),(94,1),(97,1),(127,1),(186,1)}
        75:{1,2,4,5,7}:{(55,1),(56,1),(95,1),(97,1),(98,1),(145,1),(147,1),(186,1)}
        76:{1,3,4,6}:{(56,1),(96,1),(98,1),(130,1),(174,1),(184,1),(199,1)}
        77:{2,3,7}:{(57,1),(67,1)}
        78:{1,2,3,5,7}:{(58,1),(59,1),(61,1),(68,1),(100,1),(102,1),(107,1),(150,1),(152,1),(169,1),(197,1)}
        79:{2,4,7}:{(58,1),(60,1),(69,1)}
        80:{1,4,7}:{(59,1),(60,1),(70,1)}
        81:{3,4,5,7}:{(60,1),(64,1),(71,1),(103,1),(104,1),(105,1),(152,1)}
        82:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(72,1),(102,1),(106,1),(107,1),(153,1),(207,1)}
        83:{2,5,7}:{(62,1),(64,1),(108,1)}
        84:{1,3,5,7}:{(63,1),(64,1),(73,1),(104,1),(107,1),(109,1),(152,1)}
        85:{3,5,6}:{(64,1),(65,1),(105,1),(108,1)}
        86:{1,4,5,6,7}:{(65,1),(110,1),(155,1)}
        87:{2,3,5}:{(66,1),(67,1),(112,1)}
        88:{1,2,3,6}:{(67,1),(100,1),(111,1),(113,1),(194,1)}
        89:{2,3,4,6}:{(67,1),(69,1),(101,1),(112,1),(113,1),(114,1),(115,1),(151,1)}
        90:{1,2,4,6}:{(68,1),(69,1),(70,1),(102,1),(115,1),(116,1),(168,1),(196,1)}
        91:{2,4,5}:{(69,1),(71,1),(114,1)}
        92:{1,4,5}:{(70,1),(71,1),(73,1)}
        93:{3,4,5,6}:{(71,1),(105,1),(117,1),(118,1),(119,1),(166,1)}
        94:{2,3,4,6}:{(72,1),(74,1),(115,1),(120,1),(123,1),(168,1)}
        95:{1,2,5}:{(72,1),(73,1),(120,1)}
        96:{1,3,5,6}:{(73,1),(76,1),(118,1),(121,1),(122,1),(166,1),(206,1)}
        97:{2,3,5,7}:{(74,1),(75,1),(120,1),(123,1),(152,1)}
        98:{1,2,4,6}:{(75,1),(76,1),(121,1),(123,1),(168,1)}
        99:{1,3,4,6,7}:{(76,1),(122,1),(124,1),(155,1),(191,1),(198,1),(207,1)}
       100:{1,2,3,7}:{(77,1),(88,1),(125,1),(204,1)}
       101:{2,3,4,7}:{(77,1),(79,1),(89,1),(125,1),(126,1),(127,1)}
       102:{1,2,4,7}:{(78,1),(79,1),(80,1),(90,1),(127,1),(186,1),(205,1)}
       103:{2,4,5,7}:{(79,1),(81,1),(83,1),(91,1),(126,1),(129,1)}
       104:{1,4,5,7}:{(80,1),(81,1),(84,1),(92,1),(130,1)}
       105:{3,4,6}:{(81,1),(85,1),(129,1),(130,1),(174,1)}
       106:{2,3,4,6,7}:{(82,1),(94,1),(127,1),(132,1),(148,1),(174,1),(176,1),(186,1),(202,1)}
       107:{1,2,5,7}:{(82,1),(83,1),(84,1),(95,1),(132,1),(133,1),(209,1)}
       108:{2,5,6}:{(83,1),(85,1),(129,1)}
       109:{1,3,5,6}:{(84,1),(85,1),(130,1),(133,1),(174,1)}
       110:{3,5,6,7}:{(85,1),(86,1),(131,1),(134,1)}
       111:{1,2,3,5}:{(87,1),(88,1),(136,1),(139,1),(178,1)}
       112:{2,3,4}:{(87,1),(136,1)}
       113:{1,2,4,6}:{(88,1),(89,1),(125,1),(136,1),(138,1),(139,1),(171,1)}
       114:{2,3,5}:{(89,1),(91,1),(139,1),(141,1)}
       115:{3,4,6}:{(90,1),(127,1),(141,1),(174,1)}
       116:{1,2,4,5}:{(90,1),(91,1),(92,1),(95,1),(139,1),(141,1),(145,1),(181,1)}
       117:{2,4,5,6}:{(91,1),(93,1),(129,1),(140,1),(143,1)}
       118:{1,4,5,6}:{(92,1),(93,1),(96,1),(130,1),(144,1)}
       119:{3,4,5,7}:{(93,1),(131,1),(143,1),(144,1),(185,1)}
       120:{2,3,5}:{(94,1),(95,1),(141,1),(145,1)}
       121:{1,2,5,6}:{(95,1),(96,1),(98,1),(146,1),(147,1)}
       122:{1,3,5,7}:{(96,1),(99,1),(144,1),(147,1),(185,1),(209,1)}
       123:{2,3,6}:{(97,1),(98,1),(174,1)}
       124:{1,2,4,6,7}:{(98,1),(99,1),(147,1),(148,1),(186,1)}
       125:{1,2,4,7}:{(100,1),(101,1),(113,1),(149,1),(150,1)}
       126:{2,3,5,7}:{(101,1),(103,1),(114,1),(150,1),(151,1),(152,1)}
       127:{3,4,7}:{(102,1),(115,1),(152,1)}
       128:{1,2,4,5,7}:{(102,1),(103,1),(104,1),(107,1),(116,1),(150,1),(152,1),(153,1),(156,1),(187,1)}
       129:{2,4,6}:{(103,1),(105,1),(108,1),(151,1)}
       130:{1,4,6}:{(104,1),(105,1),(109,1)}
       131:{3,4,6,7}:{(105,1),(110,1),(119,1),(154,1),(155,1),(191,1)}
       132:{2,3,5,7}:{(106,1),(107,1),(120,1),(152,1),(156,1),(157,1),(208,1)}
       133:{1,2,5,6}:{(107,1),(108,1),(109,1),(153,1),(157,1),(206,1)}
       134:{2,5,6,7}:{(108,1),(110,1),(154,1)}
       135:{1,3,5,6,7}:{(109,1),(110,1),(122,1),(155,1),(158,1),(191,1)}
       136:{1,2,4}:{(111,1),(112,1),(159,1)}
       137:{2,3,4,5}:{(112,1),(114,1),(160,1),(161,1),(165,1)}
       138:{1,3,4,6}:{(113,1),(115,1),(149,1),(159,1),(162,1),(188,1),(194,1),(196,1)}
       139:{1,2,5}:{(113,1),(114,1),(162,1)}
       140:{2,3,5,6}:{(114,1),(117,1),(151,1),(161,1),(163,1),(164,1),(166,1)}
       141:{3,5}:{(115,1),(116,1)}
       142:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(121,1),(153,1),(163,1),(166,1),(167,1),(168,1),(192,1),(196,1),(206,1)}
       143:{2,4,5,7}:{(117,1),(119,1),(154,1),(164,1)}
       144:{1,4,5,7}:{(118,1),(119,1),(122,1),(155,1)}
       145:{2,4,5}:{(120,1),(165,1),(168,1)}
       146:{2,3,5,6}:{(120,1),(121,1),(123,1),(166,1),(168,1),(169,1)}
       147:{1,2,5,7}:{(121,1),(122,1),(124,1),(169,1)}
       148:{2,3,6,7}:{(123,1),(124,1),(169,1),(191,1)}
       149:{1,3,4,7}:{(125,1),(127,1),(138,1),(170,1),(204,1),(205,1)}
       150:{1,2,5,7}:{(125,1),(126,1),(139,1),(170,1),(171,1)}
       151:{2,3,6}:{(126,1),(129,1),(171,1),(174,1)}
       152:{3,5,7}:{(127,1),(128,1),(141,1),(174,1)}
       153:{1,2,4,6}:{(128,1),(129,1),(130,1),(133,1),(171,1),(174,1),(176,1),(199,1)}
       154:{2,4,6,7}:{(129,1),(131,1),(134,1),(143,1),(172,1)}
       155:{1,4,6,7}:{(130,1),(131,1),(135,1),(144,1)}
       156:{2,4,5,7}:{(132,1),(145,1),(173,1),(176,1),(186,1)}
       157:{2,3,5,6}:{(132,1),(133,1),(174,1),(176,1),(201,1)}
       158:{1,2,5,6,7}:{(133,1),(134,1),(135,1),(147,1),(175,1),(177,1),(209,1)}
       159:{1,3,4}:{(136,1),(178,1)}
       160:{1,2,4,5}:{(136,1),(137,1),(139,1),(178,1),(179,1),(181,1)}
       161:{2,3,4,6}:{(137,1),(140,1),(179,1),(180,1),(184,1)}
       162:{1,3,5}:{(138,1),(139,1),(141,1),(181,1)}
       163:{1,2,5,6}:{(139,1),(140,1),(171,1),(179,1),(182,1),(183,1)}
       164:{2,3,5,7}:{(140,1),(143,1),(172,1),(180,1),(183,1),(185,1)}
       165:{3,4,5}:{(141,1),(145,1),(181,1),(184,1)}
       166:{3,5,6}:{(141,1),(142,1),(174,1),(184,1),(185,1)}
       167:{1,2,4,5,7}:{(142,1),(143,1),(144,1),(147,1),(175,1),(183,1),(185,1),(186,1),(203,1),(205,1),(209,1)}
       168:{2,4,6}:{(145,1),(146,1),(184,1),(186,1)}
       169:{2,3,5,7}:{(146,1),(147,1),(148,1),(185,1),(186,1)}
       170:{1,3,5,7}:{(149,1),(150,1),(152,1),(162,1),(187,1),(188,1)}
       171:{1,2,6}:{(150,1),(151,1),(188,1)}
       172:{2,3,6,7}:{(151,1),(154,1),(164,1),(189,1),(191,1)}
       173:{3,4,5,7}:{(152,1),(156,1),(165,1),(187,1),(190,1),(198,1),(208,1)}
       174:{3,6}:{(152,1),(153,1)}
       175:{1,2,4,6,7}:{(153,1),(154,1),(155,1),(158,1),(167,1),(189,1),(191,1),(193,1),(207,1)}
       176:{2,4,6}:{(156,1),(157,1),(190,1)}
       177:{2,3,5,6,7}:{(157,1),(158,1),(169,1),(191,1),(193,1),(208,1)}
       178:{1,3,5}:{(159,1),(160,1),(194,1)}
       179:{1,2,4,6}:{(160,1),(161,1),(163,1),(194,1),(195,1),(196,1)}
       180:{2,3,4,7}:{(161,1),(164,1),(195,1),(198,1)}
       181:{1,4,5}:{(162,1),(165,1),(196,1)}
       182:{1,3,5,6}:{(162,1),(163,1),(166,1),(188,1),(194,1),(196,1),(197,1),(206,1)}
       183:{1,2,5,7}:{(163,1),(164,1),(189,1),(195,1),(197,1)}
       184:{3,4,6}:{(165,1),(166,1),(168,1),(196,1),(198,1)}
       185:{3,5,7}:{(166,1),(167,1),(191,1),(198,1)}
       186:{2,4,7}:{(168,1),(169,1),(198,1)}
       187:{1,4,5,7}:{(170,1),(173,1),(181,1),(199,1),(205,1),(209,1)}
       188:{1,3,6}:{(170,1),(171,1),(174,1),(199,1)}
       189:{1,2,6,7}:{(171,1),(172,1),(183,1),(200,1)}
       190:{3,4,6}:{(173,1),(174,1),(176,1),(199,1),(201,1)}
       191:{3,6,7}:{(174,1),(175,1),(185,1)}
       192:{2,4,5,6}:{(176,1),(201,1),(203,1)}
       193:{2,4,6,7}:{(176,1),(177,1),(186,1),(202,1),(203,1)}
       194:{1,3,6}:{(178,1),(179,1),(204,1)}
       195:{1,2,4,7}:{(179,1),(180,1),(183,1),(204,1),(205,1)}
       196:{1,4,6}:{(181,1),(182,1),(184,1),(205,1)}
       197:{1,3,5,7}:{(182,1),(183,1),(185,1),(200,1),(204,1),(205,1),(209,1)}
       198:{3,4,7}:{(184,1),(185,1),(186,1),(205,1)}
       199:{1,4,6}:{(187,1),(188,1),(190,1),(206,1)}
       200:{1,3,6,7}:{(188,1),(189,1),(191,1),(197,1),(207,1)}
       201:{3,5,6}:{(190,1),(192,1),(206,1),(208,1)}
       202:{3,4,6,7}:{(190,1),(191,1),(193,1),(198,1),(207,1),(208,1)}
       203:{2,4,5,7}:{(192,1),(193,1),(208,1)}
       204:{1,3,7}:{(194,1),(195,1)}
       205:{1,4,7}:{(196,1),(197,1),(198,1)}
       206:{1,5,6}:{(199,1),(201,1),(209,1)}
       207:{1,4,6,7}:{(199,1),(200,1),(202,1),(205,1),(209,1)}
       208:{3,5,7}:{(201,1),(202,1),(203,1),(209,1)}
       209:{1,5,7}:{(206,1),(207,1),(208,1)}

1611 :   0:{1,2,4,5,6}:{(2,1),(3,1),(17,1),(18,1),(19,1),(42,1),(51,1),(77,1),(78,1),(81,1),(99,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(62,1),(63,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(24,1),(29,1),(30,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(6,1),(7,1),(69,1),(91,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(12,1),(43,1),(96,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(44,1),(45,1),(46,1),(81,1)}
         6:{3,5,7}:{(2,1),(3,1),(12,1),(13,1)}
         7:{3,4,6}:{(3,1),(13,1),(16,1),(17,1),(18,1),(52,1),(83,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(40,1),(52,1),(56,1),(73,1),(77,1),(84,1),(96,1),(99,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(21,1),(52,1),(53,1),(76,1),(78,1),(94,1),(96,1),(103,1)}
        10:{2,3,4,6}:{(18,1),(20,1),(21,1),(22,1),(52,1),(53,1),(83,1),(98,1)}
        11:{4,6,7}:{(4,1),(24,1),(101,1)}
        12:{3,6,7}:{(5,1),(6,1),(91,1)}
        13:{3,4,7}:{(6,1),(7,1),(29,1),(30,1),(68,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(26,1),(29,1),(31,1),(62,1),(68,1),(90,1)}
        15:{2,3,5,7}:{(6,1),(9,1),(27,1),(30,1),(31,1),(63,1),(68,1),(90,1)}
        16:{3,4,5}:{(7,1),(32,1),(33,1),(69,1),(102,1)}
        17:{1,4,6}:{(7,1),(8,1),(29,1),(32,1),(72,1),(101,1)}
        18:{2,4,6}:{(7,1),(9,1),(30,1),(33,1),(88,1),(101,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(37,1),(59,1),(70,1),(86,1)}
        20:{2,3,4,7}:{(10,1),(30,1),(35,1),(36,1),(68,1),(92,1)}
        21:{2,3,5}:{(10,1),(33,1),(37,1),(69,1),(102,1)}
        22:{1,2,4,6}:{(10,1),(36,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        23:{1,3,4,6}:{(17,1),(39,1),(40,1),(41,1),(52,1),(73,1),(83,1),(98,1)}
        24:{4,5,7}:{(11,1),(42,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(13,1),(43,1),(44,1),(45,1),(47,1),(80,1),(97,1),(98,1)}
        26:{1,3,6,7}:{(12,1),(14,1),(44,1),(46,1),(73,1),(80,1),(84,1)}
        27:{2,3,6,7}:{(12,1),(15,1),(45,1),(46,1),(53,1),(80,1),(94,1)}
        28:{3,4,5,7}:{(13,1),(16,1),(43,1),(47,1),(48,1),(49,1),(82,1),(97,1),(104,1)}
        29:{1,4,7}:{(13,1),(14,1),(17,1),(97,1)}
        30:{2,4,7}:{(13,1),(15,1),(18,1),(97,1)}
        31:{1,2,5,7}:{(14,1),(15,1),(19,1),(46,1),(50,1)}
        32:{1,4,5}:{(16,1),(17,1),(40,1),(99,1),(104,1)}
        33:{2,4,5}:{(16,1),(18,1),(21,1),(103,1),(104,1)}
        34:{1,2,4,6}:{(17,1),(18,1),(19,1),(50,1),(51,1),(52,1)}
        35:{2,3,5,7}:{(20,1),(21,1),(49,1),(53,1),(54,1),(82,1)}
        36:{1,2,4,7}:{(20,1),(22,1),(54,1),(55,1),(85,1)}
        37:{1,2,5}:{(21,1),(22,1),(56,1),(99,1)}
        38:{1,3,6}:{(22,1),(52,1),(55,1),(56,1)}
        39:{1,3,4,7}:{(23,1),(29,1),(57,1),(58,1),(68,1),(92,1)}
        40:{1,3,5}:{(23,1),(32,1),(59,1),(69,1),(102,1)}
        41:{1,2,4,6}:{(23,1),(58,1),(59,1),(60,1),(86,1),(88,1),(100,1)}
        42:{4,5,6}:{(24,1),(61,1),(101,1)}
        43:{3,5,7}:{(24,1),(25,1),(61,1),(62,1),(63,1),(102,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(62,1),(65,1),(93,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(63,1),(66,1),(100,1)}
        46:{1,2,6,7}:{(26,1),(27,1),(31,1),(70,1),(86,1)}
        47:{3,4,6}:{(28,1),(61,1),(65,1),(66,1),(91,1),(101,1)}
        48:{1,4,5,7}:{(28,1),(29,1),(32,1),(57,1),(62,1),(65,1)}
        49:{2,4,5,7}:{(28,1),(30,1),(33,1),(35,1),(63,1),(66,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(68,1)}
        51:{1,2,4,5}:{(32,1),(33,1),(34,1),(37,1),(59,1),(69,1),(72,1),(88,1)}
        52:{3,6}:{(34,1),(68,1),(69,1)}
        53:{2,3,6}:{(35,1),(66,1),(70,1),(91,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(37,1),(70,1),(71,1)}
        55:{1,3,7}:{(36,1),(38,1),(68,1)}
        56:{1,3,5}:{(37,1),(38,1),(69,1),(72,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(48,1),(73,1),(74,1),(82,1)}
        58:{1,2,4,7}:{(39,1),(41,1),(74,1),(75,1),(95,1)}
        59:{1,2,5}:{(40,1),(41,1),(76,1),(103,1)}
        60:{2,3,6}:{(41,1),(52,1),(75,1),(76,1)}
        61:{3,5,6}:{(42,1),(43,1),(47,1),(77,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(77,1),(99,1)}
        63:{2,5,7}:{(43,1),(45,1),(78,1),(103,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(50,1),(79,1),(80,1),(81,1),(97,1)}
        65:{1,4,6}:{(47,1),(48,1),(73,1),(77,1)}
        66:{2,4,6}:{(47,1),(49,1),(53,1),(78,1)}
        67:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(51,1),(54,1),(74,1),(79,1),(81,1),(82,1),(85,1),(95,1),(97,1),(99,1),(103,1),(104,1)}
        68:{3,7}:{(50,1),(52,1)}
        69:{3,5}:{(51,1),(52,1),(83,1)}
        70:{1,2,6}:{(53,1),(54,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(56,1),(82,1),(84,1),(85,1),(99,1)}
        72:{1,4}:{(56,1),(83,1)}
        73:{1,3,6}:{(57,1),(65,1),(86,1),(91,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(86,1),(87,1)}
        75:{2,3,7}:{(58,1),(60,1),(68,1)}
        76:{2,3,5}:{(59,1),(60,1),(69,1),(88,1)}
        77:{1,5,6}:{(61,1),(62,1),(65,1)}
        78:{2,5,6}:{(61,1),(63,1),(66,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(89,1),(90,1)}
        80:{3,6,7}:{(64,1),(68,1),(90,1),(91,1)}
        81:{1,2,4,6}:{(65,1),(66,1),(67,1),(70,1),(86,1),(89,1),(91,1),(93,1),(100,1),(101,1)}
        82:{3,5,7}:{(67,1),(68,1),(69,1),(91,1),(92,1),(102,1)}
        83:{3,4}:{(69,1),(72,1),(88,1)}
        84:{1,3,6}:{(70,1),(71,1),(91,1),(93,1)}
        85:{1,4,7}:{(71,1),(72,1),(92,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(94,1),(95,1),(103,1)}
        88:{2,4}:{(76,1),(83,1)}
        89:{1,2,5,6}:{(77,1),(78,1),(79,1),(81,1),(96,1),(99,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{3,6}:{(81,1),(82,1)}
        92:{3,4,7}:{(82,1),(83,1),(85,1),(95,1),(97,1),(98,1)}
        93:{1,4,6}:{(84,1),(85,1),(98,1),(99,1)}
        94:{2,3,6}:{(86,1),(87,1),(91,1),(100,1)}
        95:{2,4,7}:{(87,1),(88,1),(92,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(91,1),(101,1),(102,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{3,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(102,1)}
        99:{1,5}:{(93,1),(102,1)}
       100:{2,4,6}:{(94,1),(95,1),(98,1),(103,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{3,5}:{(98,1),(99,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1612 :  0:{1,2,3,4,7}:{(1,1),(2,1),(27,1),(78,1)}
        1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(68,1),(69,1)}
        3:{2,3,4,5,7}:{(4,1),(7,1),(20,1),(21,1),(39,1)}
        4:{1,2,4,5,7}:{(1,1),(3,1),(8,1),(9,1),(12,1),(25,1),(27,1)}
        5:{1,2,3,6}:{(1,1),(9,1)}
        6:{1,2,3,5}:{(2,1),(12,1)}
        7:{2,3,4,6}:{(3,1),(9,1),(14,1),(28,1)}
        8:{1,3,4,5,7}:{(4,1),(15,1),(20,1),(34,1),(39,1)}
        9:{1,2,4,6}:{(4,1),(5,1),(7,1),(15,1),(17,1)}
       10:{1,2,3,6,7}:{(5,1),(16,1),(18,1),(63,1),(82,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(17,1),(18,1),(19,1),(38,1),(66,1),(68,1)}
       12:{1,2,4,5}:{(6,1),(19,1),(20,1)}
       13:{2,3,4,6,7}:{(7,1),(16,1),(21,1),(39,1),(43,1),(63,1)}
       14:{2,3,5,6}:{(7,1),(17,1),(21,1),(22,1),(38,1)}
       15:{1,3,4,6}:{(8,1),(9,1),(24,1),(28,1)}
       16:{1,2,4,6,7}:{(9,1),(10,1),(13,1),(23,1),(25,1),(27,1)}
       17:{1,2,5,6}:{(9,1),(14,1),(24,1),(25,1)}
       18:{1,2,3,5,7}:{(10,1),(11,1),(25,1),(27,1),(50,1),(77,1),(78,1)}
       19:{1,2,4,6}:{(11,1),(12,1),(27,1),(28,1)}
       20:{3,4,5}:{(12,1),(28,1)}
       21:{2,3,5,7}:{(13,1),(14,1),(25,1),(32,1),(50,1)}
       22:{2,4,5,6}:{(14,1),(32,1),(33,1)}
       23:{1,3,4,6,7}:{(15,1),(16,1),(34,1),(39,1),(60,1),(63,1)}
       24:{1,3,5,6}:{(15,1),(17,1),(34,1),(35,1),(38,1)}
       25:{1,2,5,7}:{(16,1),(17,1),(21,1),(34,1)}
       26:{1,2,4,5,6}:{(17,1),(19,1),(22,1),(35,1),(37,1),(38,1),(45,1),(62,1),(66,1)}
       27:{1,2,4,7}:{(18,1),(19,1),(39,1)}
       28:{3,4,6}:{(19,1),(20,1),(38,1),(39,1)}
       29:{1,3,4,5}:{(20,1),(40,1),(42,1)}
       30:{2,3,4,5}:{(20,1),(41,1),(42,1)}
       31:{2,3,5,6,7}:{(21,1),(36,1),(43,1),(63,1),(70,1)}
       32:{2,4,5,7}:{(21,1),(22,1),(43,1),(44,1)}
       33:{3,4,5,6}:{(22,1),(38,1),(44,1),(45,1)}
       34:{1,3,5,7}:{(23,1),(24,1),(25,1),(47,1),(50,1)}
       35:{1,4,5,6}:{(24,1),(47,1),(48,1)}
       36:{1,2,5,6,7}:{(25,1),(31,1),(46,1),(49,1),(79,1),(83,1)}
       37:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(32,1),(47,1),(49,1),(50,1),(59,1),(74,1),(77,1)}
       38:{3,5,6}:{(26,1),(28,1),(50,1)}
       39:{3,4,7}:{(27,1),(28,1),(50,1)}
       40:{1,3,4,6}:{(28,1),(29,1),(51,1),(53,1),(55,1)}
       41:{2,3,4,6}:{(28,1),(30,1),(52,1),(54,1),(55,1)}
       42:{1,2,4,5}:{(29,1),(30,1),(55,1),(56,1)}
       43:{2,4,6,7}:{(31,1),(32,1),(58,1)}
       44:{3,4,5,7}:{(32,1),(33,1),(50,1),(58,1),(59,1)}
       45:{1,4,5,6}:{(33,1),(51,1),(59,1)}
       46:{1,3,5,6,7}:{(34,1),(36,1),(60,1),(63,1),(80,1)}
       47:{1,4,5,7}:{(34,1),(35,1),(60,1),(61,1)}
       48:{3,4,5,6}:{(35,1),(38,1),(61,1),(62,1)}
       49:{1,2,4,6,7}:{(36,1),(37,1),(43,1),(60,1),(63,1),(71,1),(81,1),(82,1)}
       50:{3,5,7}:{(37,1),(38,1),(39,1),(63,1)}
       51:{1,3,5,6}:{(38,1),(40,1),(45,1),(64,1),(66,1)}
       52:{2,3,5,6}:{(38,1),(41,1),(62,1),(65,1),(66,1)}
       53:{1,3,4,7}:{(39,1),(40,1),(64,1),(67,1)}
       54:{2,3,4,7}:{(39,1),(41,1),(65,1),(67,1)}
       55:{1,2,4,6}:{(40,1),(41,1),(42,1),(66,1),(67,1),(68,1)}
       56:{1,2,3,5}:{(42,1),(68,1),(69,1)}
       57:{2,4,5,6,7}:{(43,1),(70,1)}
       58:{3,4,6,7}:{(43,1),(44,1),(63,1),(70,1),(71,1)}
       59:{1,4,5,7}:{(44,1),(45,1),(64,1),(71,1)}
       60:{1,4,6,7}:{(46,1),(47,1),(73,1)}
       61:{3,4,5,7}:{(47,1),(48,1),(50,1),(73,1),(74,1)}
       62:{2,4,5,6}:{(48,1),(52,1),(74,1)}
       63:{3,6,7}:{(49,1),(50,1)}
       64:{1,3,5,7}:{(50,1),(51,1),(53,1),(59,1),(75,1),(77,1)}
       65:{2,3,5,7}:{(50,1),(52,1),(54,1),(74,1),(76,1),(77,1)}
       66:{1,2,5,6}:{(51,1),(52,1),(55,1),(77,1)}
       67:{1,2,4,7}:{(53,1),(54,1),(55,1),(77,1),(78,1)}
       68:{1,2,3,6}:{(55,1),(56,1),(78,1)}
       69:{1,2,3,4}:{(56,1)}
       70:{3,5,6,7}:{(57,1),(58,1),(79,1)}
       71:{1,4,6,7}:{(58,1),(59,1),(75,1),(79,1)}
       72:{1,4,5,6,7}:{(60,1),(80,1)}
       73:{3,4,6,7}:{(60,1),(61,1),(63,1),(80,1),(81,1)}
       74:{2,4,5,7}:{(61,1),(62,1),(65,1),(81,1)}
       75:{1,3,6,7}:{(63,1),(64,1),(71,1),(82,1)}
       76:{2,3,6,7}:{(63,1),(65,1),(81,1),(82,1)}
       77:{1,2,5,7}:{(64,1),(65,1),(66,1),(67,1),(82,1)}
       78:{1,2,3,7}:{(67,1),(68,1)}
       79:{1,5,6,7}:{(70,1),(71,1)}
       80:{3,5,6,7}:{(72,1),(73,1),(83,1)}
       81:{2,4,6,7}:{(73,1),(74,1),(76,1),(83,1)}
       82:{1,2,6,7}:{(75,1),(76,1),(77,1)}
       83:{2,5,6,7}:{(80,1),(81,1)}

1613 :   0:{1,3,4,6,7}:{(2,1),(3,1),(14,1),(36,1),(42,1),(45,1),(67,1),(73,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(37,1),(42,1),(45,1),(68,1),(74,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(26,1),(29,1),(52,1),(53,1),(80,1),(87,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(30,1),(49,1),(85,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(8,1),(10,1),(30,1),(50,1),(86,1)}
         5:{1,3,5,6}:{(3,1),(13,1),(14,1),(39,1),(42,1)}
         6:{2,3,5,6}:{(4,1),(13,1),(15,1),(40,1),(42,1)}
         7:{1,2,3,6,7}:{(2,1),(16,1),(42,1),(67,1),(68,1),(75,1),(96,1),(101,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(4,1),(13,1),(65,1),(66,1),(95,1)}
         9:{1,4,5,7}:{(3,1),(14,1),(18,1),(89,1),(92,1)}
        10:{2,4,5,7}:{(4,1),(15,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(5,1),(20,1),(21,1),(49,1),(51,1),(78,1)}
        12:{2,3,5,6,7}:{(6,1),(20,1),(22,1),(50,1),(51,1),(79,1)}
        13:{1,2,5,6}:{(5,1),(6,1),(8,1),(26,1),(55,1),(56,1)}
        14:{1,4,6}:{(5,1),(9,1),(27,1)}
        15:{2,4,6}:{(6,1),(10,1),(28,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(25,1),(29,1),(30,1),(63,1),(78,1),(79,1),(88,1),(100,1)}
        17:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(26,1),(29,1),(30,1),(31,1),(32,1),(57,1),(63,1),(97,1),(98,1)}
        18:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(49,1),(77,1),(81,1)}
        19:{3,4,5,7}:{(10,1),(28,1),(30,1),(32,1),(50,1),(77,1),(81,1)}
        20:{1,2,5,6,7}:{(11,1),(12,1),(13,1),(35,1),(65,1),(66,1),(91,1)}
        21:{1,4,6,7}:{(11,1),(14,1),(33,1),(36,1),(89,1)}
        22:{2,4,6,7}:{(12,1),(15,1),(34,1),(37,1),(90,1)}
        23:{1,4,5,6}:{(14,1),(33,1),(39,1)}
        24:{2,4,5,6}:{(15,1),(34,1),(40,1)}
        25:{1,2,3,5,6}:{(13,1),(16,1),(41,1),(42,1),(70,1),(71,1),(72,1),(75,1),(95,1),(96,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(42,1),(43,1),(44,1),(75,1)}
        27:{3,4,6}:{(14,1),(18,1),(39,1),(42,1),(43,1)}
        28:{3,4,6}:{(15,1),(19,1),(40,1),(42,1),(44,1)}
        29:{1,2,4,7}:{(16,1),(41,1),(45,1),(89,1),(90,1),(103,1)}
        30:{3,5,7}:{(17,1),(42,1),(45,1),(72,1),(101,1),(102,1)}
        31:{2,4,5,7}:{(18,1),(43,1),(47,1),(65,1),(90,1),(93,1)}
        32:{1,4,5,7}:{(19,1),(44,1),(46,1),(66,1),(89,1),(92,1)}
        33:{1,4,5,7}:{(21,1),(23,1),(49,1)}
        34:{2,4,5,7}:{(22,1),(24,1),(50,1)}
        35:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(26,1),(48,1),(51,1),(52,1),(53,1),(80,1),(97,1)}
        36:{3,4,6,7}:{(21,1),(27,1),(49,1),(51,1),(52,1),(77,1)}
        37:{3,4,6,7}:{(22,1),(28,1),(50,1),(51,1),(53,1),(77,1)}
        38:{1,2,4,5,6}:{(23,1),(24,1),(26,1),(48,1),(54,1),(55,1),(56,1),(57,1),(82,1),(83,1),(84,1)}
        39:{3,5,6}:{(23,1),(27,1),(49,1),(55,1)}
        40:{3,5,6}:{(24,1),(28,1),(50,1),(56,1)}
        41:{1,2,4,6}:{(25,1),(29,1),(57,1),(58,1),(82,1),(83,1)}
        42:{3,6}:{(26,1),(30,1)}
        43:{2,4,6}:{(27,1),(31,1),(55,1),(60,1)}
        44:{1,4,6}:{(28,1),(32,1),(56,1),(59,1)}
        45:{3,4,7}:{(29,1),(30,1),(58,1),(104,1)}
        46:{1,3,5,7}:{(30,1),(32,1),(59,1),(61,1),(63,1),(85,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(60,1),(62,1),(63,1),(86,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(38,1),(64,1),(65,1),(66,1),(89,1),(90,1),(91,1)}
        49:{3,5,7}:{(33,1),(36,1),(39,1),(65,1)}
        50:{3,5,7}:{(34,1),(37,1),(40,1),(66,1)}
        51:{3,6,7}:{(35,1),(42,1),(64,1),(101,1)}
        52:{2,4,6,7}:{(36,1),(43,1),(65,1),(68,1),(90,1)}
        53:{1,4,6,7}:{(37,1),(44,1),(66,1),(67,1),(89,1)}
        54:{3,5,6}:{(38,1),(42,1),(64,1),(69,1),(72,1)}
        55:{2,5,6}:{(39,1),(43,1),(65,1)}
        56:{1,5,6}:{(40,1),(44,1),(66,1)}
        57:{1,2,4,5}:{(41,1),(72,1),(92,1),(93,1),(95,1)}
        58:{3,4,6}:{(41,1),(42,1),(45,1),(72,1)}
        59:{1,3,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{2,3,6}:{(42,1),(43,1),(47,1),(75,1)}
        61:{1,3,4,7}:{(45,1),(46,1),(73,1),(76,1),(89,1),(101,1)}
        62:{2,3,4,7}:{(45,1),(47,1),(74,1),(76,1),(90,1),(101,1)}
        63:{1,2,5,7}:{(46,1),(47,1),(75,1),(76,1),(95,1)}
        64:{3,5,7}:{(48,1),(51,1),(54,1),(77,1)}
        65:{2,5,7}:{(49,1),(52,1),(55,1)}
        66:{1,5,7}:{(50,1),(53,1),(56,1)}
        67:{1,3,6,7}:{(51,1),(53,1),(59,1),(78,1),(80,1)}
        68:{2,3,6,7}:{(51,1),(52,1),(60,1),(79,1),(80,1)}
        69:{3,4,6}:{(54,1),(77,1),(81,1),(82,1),(83,1),(99,1)}
        70:{1,3,5,6}:{(54,1),(56,1),(59,1),(78,1),(82,1),(84,1),(85,1),(99,1)}
        71:{2,3,5,6}:{(54,1),(55,1),(60,1),(79,1),(83,1),(84,1),(86,1),(99,1)}
        72:{3,5}:{(57,1),(58,1)}
        73:{1,3,4,6}:{(58,1),(59,1),(61,1),(82,1),(85,1),(87,1),(99,1),(104,1)}
        74:{2,3,4,6}:{(58,1),(60,1),(62,1),(83,1),(86,1),(87,1),(99,1),(104,1)}
        75:{1,2,6}:{(59,1),(60,1),(63,1)}
        76:{1,2,4,7}:{(61,1),(62,1),(63,1),(87,1),(88,1)}
        77:{3,4,7}:{(64,1),(69,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(66,1),(67,1),(70,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(68,1),(71,1),(90,1),(91,1),(101,1)}
        80:{1,2,6,7}:{(67,1),(68,1),(75,1),(91,1)}
        81:{3,4,5}:{(69,1),(72,1),(92,1),(93,1),(102,1)}
        82:{1,4,6}:{(69,1),(70,1),(89,1),(92,1)}
        83:{2,4,6}:{(69,1),(71,1),(90,1),(93,1)}
        84:{1,2,5,6}:{(70,1),(71,1),(75,1),(91,1),(94,1),(95,1)}
        85:{1,3,5}:{(72,1),(73,1),(92,1),(95,1),(102,1)}
        86:{2,3,5}:{(72,1),(74,1),(93,1),(95,1),(102,1)}
        87:{1,2,4,6}:{(73,1),(74,1),(75,1),(76,1),(95,1),(96,1),(103,1)}
        88:{1,2,3,7}:{(76,1),(96,1),(101,1)}
        89:{1,4,7}:{(77,1),(78,1),(82,1)}
        90:{2,4,7}:{(77,1),(79,1),(83,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(80,1),(84,1),(97,1)}
        92:{1,4,5}:{(81,1),(82,1),(85,1)}
        93:{2,4,5}:{(81,1),(83,1),(86,1)}
        94:{1,2,4,6}:{(82,1),(83,1),(84,1),(97,1),(98,1),(99,1)}
        95:{1,2,5}:{(85,1),(86,1),(87,1)}
        96:{1,2,3,6}:{(87,1),(88,1),(99,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(94,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
        99:{3,6}:{(94,1),(101,1),(102,1)}
       100:{1,2,3,5}:{(95,1),(96,1),(102,1),(103,1)}
       101:{3,7}:{(97,1),(99,1)}
       102:{3,5}:{(98,1),(99,1),(104,1)}
       103:{1,2,4}:{(100,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1614 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(21,1),(24,1),(46,1),(82,1)}
         2:{1,2,3,5}:{(0,1),(4,1),(7,1)}
         3:{2,3,4,5}:{(4,1),(8,1),(20,1)}
         4:{1,2,4,5}:{(2,1),(3,1),(9,1),(10,1)}
         5:{1,2,3,5}:{(1,1),(11,1)}
         6:{1,2,3,4,7}:{(1,1),(13,1),(14,1),(35,1),(95,1)}
         7:{1,2,3,6}:{(2,1),(10,1),(14,1)}
         8:{2,3,4,6}:{(3,1),(10,1),(15,1),(16,1),(33,1)}
         9:{1,3,4,5}:{(4,1),(17,1),(20,1)}
        10:{1,2,4,6}:{(4,1),(7,1),(8,1),(17,1),(18,1),(19,1)}
        11:{1,2,4,5}:{(5,1),(20,1),(21,1)}
        12:{1,2,3,5,6}:{(5,1),(7,1),(18,1),(21,1),(23,1),(24,1),(43,1),(53,1),(77,1),(82,1)}
        13:{1,2,3,5,7}:{(5,1),(6,1),(22,1),(24,1)}
        14:{1,2,3,7}:{(7,1),(19,1)}
        15:{2,3,5,6}:{(8,1),(18,1),(25,1),(26,1),(43,1)}
        16:{2,3,4,7}:{(8,1),(19,1),(26,1),(50,1)}
        17:{1,3,4,6}:{(9,1),(10,1),(27,1),(28,1),(33,1)}
        18:{1,2,5,6}:{(10,1),(15,1),(27,1),(30,1)}
        19:{1,2,4,7}:{(10,1),(14,1),(16,1),(28,1),(30,1)}
        20:{3,4,5}:{(11,1),(33,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(33,1),(35,1)}
        22:{1,2,4,5,7}:{(11,1),(13,1),(34,1),(35,1),(36,1),(70,1)}
        23:{1,2,3,5,7}:{(12,1),(14,1),(30,1),(35,1),(37,1),(62,1),(70,1),(91,1),(95,1)}
        24:{1,2,3,6}:{(13,1),(36,1)}
        25:{2,4,5,6}:{(15,1),(38,1),(39,1)}
        26:{2,3,5,7}:{(15,1),(16,1),(30,1),(39,1),(40,1),(62,1)}
        27:{1,3,5,6}:{(17,1),(18,1),(41,1),(42,1),(43,1)}
        28:{1,3,4,7}:{(17,1),(19,1),(42,1),(50,1)}
        29:{1,2,4,5,6}:{(18,1),(21,1),(25,1),(41,1),(43,1),(44,1),(53,1),(54,1),(74,1),(77,1),(85,1)}
        30:{1,2,5,7}:{(18,1),(19,1),(26,1),(42,1),(45,1)}
        31:{2,3,4,5}:{(20,1),(47,1),(48,1)}
        32:{1,3,4,5}:{(20,1),(47,1),(49,1)}
        33:{3,4,6}:{(20,1),(21,1),(43,1),(50,1)}
        34:{3,4,5,7}:{(20,1),(22,1),(50,1),(51,1),(84,1)}
        35:{1,2,4,7}:{(21,1),(23,1),(50,1)}
        36:{1,2,4,6}:{(22,1),(24,1),(51,1),(53,1)}
        37:{1,2,3,6,7}:{(23,1),(24,1),(45,1),(52,1),(80,1),(101,1)}
        38:{3,4,5,6}:{(25,1),(43,1),(54,1),(55,1),(85,1)}
        39:{2,4,5,7}:{(25,1),(26,1),(55,1),(56,1)}
        40:{2,3,6,7}:{(26,1),(45,1),(56,1),(80,1)}
        41:{1,4,5,6}:{(27,1),(57,1),(58,1)}
        42:{1,3,5,7}:{(27,1),(28,1),(30,1),(58,1),(59,1),(62,1)}
        43:{3,5,6}:{(29,1),(33,1),(62,1)}
        44:{1,2,4,5,7}:{(29,1),(30,1),(35,1),(39,1),(58,1),(62,1),(63,1),(70,1),(71,1),(88,1),(91,1),(96,1)}
        45:{1,2,6,7}:{(30,1),(40,1),(59,1)}
        46:{1,2,3,4}:{(64,1)}
        47:{1,2,4,5}:{(31,1),(32,1),(64,1),(65,1)}
        48:{2,3,4,6}:{(31,1),(33,1),(60,1),(65,1),(66,1)}
        49:{1,3,4,6}:{(32,1),(33,1),(61,1),(65,1),(67,1)}
        50:{3,4,7}:{(33,1),(35,1),(62,1)}
        51:{3,4,6}:{(34,1),(36,1),(69,1)}
        52:{1,2,4,6,7}:{(35,1),(36,1),(37,1),(68,1),(70,1)}
        53:{1,2,5,6}:{(36,1),(69,1),(70,1)}
        54:{1,4,5,6}:{(38,1),(61,1),(71,1)}
        55:{3,4,5,7}:{(38,1),(39,1),(62,1),(71,1),(72,1),(96,1)}
        56:{2,4,6,7}:{(39,1),(40,1),(72,1),(73,1)}
        57:{3,4,5,6}:{(41,1),(43,1),(74,1),(75,1),(85,1)}
        58:{1,4,5,7}:{(41,1),(42,1),(75,1),(76,1)}
        59:{1,3,6,7}:{(42,1),(45,1),(76,1),(80,1)}
        60:{2,3,5,6}:{(43,1),(48,1),(74,1),(77,1),(78,1)}
        61:{1,3,5,6}:{(43,1),(49,1),(54,1),(77,1),(79,1)}
        62:{3,5,7}:{(43,1),(44,1),(50,1),(80,1)}
        63:{1,2,4,6,7}:{(44,1),(45,1),(56,1),(76,1),(80,1),(81,1),(86,1),(99,1),(101,1),(102,1)}
        64:{1,2,3,5}:{(46,1),(47,1),(82,1)}
        65:{1,2,4,6}:{(47,1),(48,1),(49,1),(77,1),(82,1),(83,1)}
        66:{2,3,4,7}:{(48,1),(50,1),(78,1),(83,1)}
        67:{1,3,4,7}:{(49,1),(50,1),(79,1),(83,1)}
        68:{3,4,6,7}:{(50,1),(51,1),(52,1),(80,1),(84,1),(102,1)}
        69:{3,5,6}:{(51,1),(53,1),(84,1),(85,1)}
        70:{1,2,5,7}:{(52,1),(53,1),(84,1)}
        71:{1,4,5,7}:{(54,1),(55,1),(79,1),(86,1)}
        72:{3,4,6,7}:{(55,1),(56,1),(80,1),(86,1),(87,1),(102,1)}
        73:{2,5,6,7}:{(56,1),(87,1)}
        74:{2,4,5,6}:{(57,1),(60,1),(88,1)}
        75:{3,4,5,7}:{(57,1),(58,1),(62,1),(88,1),(89,1),(96,1)}
        76:{1,4,6,7}:{(58,1),(59,1),(89,1),(90,1)}
        77:{1,2,5,6}:{(60,1),(61,1),(65,1),(91,1)}
        78:{2,3,5,7}:{(60,1),(62,1),(66,1),(88,1),(91,1),(92,1)}
        79:{1,3,5,7}:{(61,1),(62,1),(67,1),(71,1),(91,1),(93,1)}
        80:{3,6,7}:{(62,1),(63,1)}
        81:{1,2,5,6,7}:{(63,1),(70,1),(73,1),(90,1),(94,1),(97,1),(103,1)}
        82:{1,2,3,6}:{(64,1),(65,1),(95,1)}
        83:{1,2,4,7}:{(65,1),(66,1),(67,1),(91,1),(95,1)}
        84:{3,5,7}:{(68,1),(69,1),(70,1),(96,1)}
        85:{4,5,6}:{(69,1),(96,1)}
        86:{1,4,6,7}:{(71,1),(72,1),(93,1),(97,1)}
        87:{3,5,6,7}:{(72,1),(73,1),(97,1),(98,1)}
        88:{2,4,5,7}:{(74,1),(75,1),(78,1),(99,1)}
        89:{3,4,6,7}:{(75,1),(76,1),(80,1),(99,1),(100,1),(102,1)}
        90:{1,5,6,7}:{(76,1),(100,1)}
        91:{1,2,5,7}:{(77,1),(78,1),(79,1),(83,1),(101,1)}
        92:{2,3,6,7}:{(78,1),(80,1),(99,1),(101,1)}
        93:{1,3,6,7}:{(79,1),(80,1),(86,1),(101,1)}
        94:{3,5,6,7}:{(80,1),(81,1),(84,1),(102,1)}
        95:{1,2,3,7}:{(82,1),(83,1)}
        96:{4,5,7}:{(84,1),(85,1),(102,1)}
        97:{1,5,6,7}:{(86,1),(87,1)}
        98:{4,5,6,7}:{(87,1),(102,1)}
        99:{2,4,6,7}:{(88,1),(89,1),(92,1),(103,1)}
       100:{3,5,6,7}:{(89,1),(90,1),(103,1),(104,1)}
       101:{1,2,6,7}:{(91,1),(92,1),(93,1)}
       102:{4,6,7}:{(94,1),(96,1)}
       103:{2,5,6,7}:{(99,1),(100,1)}
       104:{4,5,6,7}:{(100,1),(102,1)}

1615 :   0:{1,2,3,6,7}:{(3,1),(4,1),(41,1),(74,1),(75,1),(79,1),(83,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(41,1),(46,1),(49,1),(75,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(45,1),(53,1),(74,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(7,1),(9,1),(25,1),(65,1),(68,1),(71,1),(89,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(26,1),(61,1),(66,1),(87,1),(88,1),(94,1)}
         5:{2,3,5,7}:{(1,1),(7,1),(10,1),(11,1),(26,1),(64,1),(67,1)}
         6:{1,3,5,7}:{(2,1),(7,1),(12,1),(13,1),(26,1),(63,1),(70,1)}
         7:{1,2,5,7}:{(3,1),(5,1),(6,1),(14,1),(82,1),(84,1),(85,1)}
         8:{1,2,3,5,6}:{(4,1),(14,1),(16,1),(41,1),(44,1),(77,1),(78,1),(79,1),(82,1),(83,1)}
         9:{1,2,4,7}:{(4,1),(16,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(14,1),(19,1),(41,1),(50,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(81,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(14,1),(22,1),(41,1),(54,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(80,1),(95,1)}
        14:{1,2,5,6}:{(7,1),(10,1),(12,1),(25,1),(69,1),(72,1)}
        15:{1,2,4,5,7}:{(7,1),(9,1),(11,1),(13,1),(25,1),(26,1),(27,1),(34,1),(38,1),(61,1),(93,1),(101,1)}
        16:{1,2,4,6}:{(8,1),(9,1),(27,1),(28,1),(90,1),(91,1)}
        17:{3,4,7}:{(9,1),(26,1),(28,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(24,1),(31,1),(57,1),(67,1),(88,1)}
        19:{2,4,6}:{(10,1),(11,1),(33,1)}
        20:{3,4,5,7}:{(11,1),(26,1),(33,1),(34,1),(62,1),(67,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(24,1),(35,1),(57,1),(70,1),(87,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(26,1),(37,1),(38,1),(62,1),(70,1),(86,1)}
        24:{1,2,5,6,7}:{(14,1),(18,1),(21,1),(39,1),(84,1),(85,1),(97,1)}
        25:{1,2,4,6}:{(14,1),(15,1),(19,1),(22,1),(41,1),(51,1),(55,1),(79,1)}
        26:{3,5,7}:{(15,1),(17,1),(41,1),(44,1),(99,1),(104,1)}
        27:{1,2,4,5}:{(16,1),(44,1),(80,1),(81,1),(82,1)}
        28:{3,4,6}:{(16,1),(17,1),(41,1),(44,1)}
        29:{1,3,4,7}:{(17,1),(42,1),(45,1),(47,1),(95,1),(104,1)}
        30:{2,3,4,7}:{(17,1),(43,1),(46,1),(47,1),(96,1),(104,1)}
        31:{2,4,6,7}:{(18,1),(19,1),(48,1),(49,1),(96,1)}
        32:{2,4,5,6}:{(19,1),(48,1),(50,1)}
        33:{3,4,6}:{(19,1),(20,1),(41,1),(50,1),(51,1)}
        34:{1,4,5,7}:{(20,1),(42,1),(51,1),(80,1),(84,1),(95,1)}
        35:{1,4,6,7}:{(21,1),(22,1),(52,1),(53,1),(95,1)}
        36:{1,4,5,6}:{(22,1),(52,1),(54,1)}
        37:{3,4,6}:{(22,1),(23,1),(41,1),(54,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(43,1),(55,1),(81,1),(85,1),(96,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(31,1),(35,1),(56,1),(57,1),(68,1),(71,1),(89,1),(101,1)}
        40:{1,2,4,5,6}:{(25,1),(27,1),(32,1),(36,1),(56,1),(58,1),(69,1),(72,1),(90,1),(91,1),(92,1)}
        41:{3,6}:{(25,1),(26,1)}
        42:{1,3,5,7}:{(26,1),(29,1),(34,1),(59,1),(61,1),(63,1)}
        43:{2,3,5,7}:{(26,1),(30,1),(38,1),(60,1),(61,1),(64,1)}
        44:{3,5}:{(27,1),(28,1)}
        45:{1,3,4,6}:{(28,1),(29,1),(59,1),(63,1),(65,1),(90,1),(102,1),(103,1)}
        46:{2,3,4,6}:{(28,1),(30,1),(60,1),(64,1),(65,1),(91,1),(102,1),(103,1)}
        47:{1,2,4,7}:{(29,1),(30,1),(61,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(31,1),(32,1),(67,1)}
        49:{3,4,6,7}:{(31,1),(33,1),(57,1),(67,1),(68,1),(86,1)}
        50:{3,5,6}:{(32,1),(33,1),(67,1),(69,1)}
        51:{1,4,6}:{(33,1),(34,1),(59,1),(69,1)}
        52:{1,4,5,7}:{(35,1),(36,1),(70,1)}
        53:{3,4,6,7}:{(35,1),(37,1),(57,1),(70,1),(71,1),(86,1)}
        54:{3,5,6}:{(36,1),(37,1),(70,1),(72,1)}
        55:{2,4,6}:{(37,1),(38,1),(60,1),(72,1)}
        56:{1,2,4,5,7}:{(39,1),(40,1),(48,1),(52,1),(73,1),(84,1),(85,1),(95,1),(96,1),(97,1)}
        57:{3,6,7}:{(39,1),(41,1),(73,1),(104,1)}
        58:{3,5,6}:{(40,1),(41,1),(44,1),(73,1),(76,1)}
        59:{1,3,6}:{(41,1),(42,1),(51,1),(79,1)}
        60:{2,3,6}:{(41,1),(43,1),(55,1),(79,1)}
        61:{1,2,5,7}:{(42,1),(43,1),(47,1),(79,1),(82,1)}
        62:{3,4,5}:{(44,1),(76,1),(80,1),(81,1),(99,1)}
        63:{1,3,5}:{(44,1),(45,1),(80,1),(82,1),(99,1)}
        64:{2,3,5}:{(44,1),(46,1),(81,1),(82,1),(99,1)}
        65:{1,2,4,6}:{(45,1),(46,1),(47,1),(79,1),(82,1),(83,1),(100,1)}
        66:{1,2,3,7}:{(47,1),(83,1),(104,1)}
        67:{3,5,7}:{(48,1),(49,1),(50,1),(84,1)}
        68:{1,4,6,7}:{(49,1),(51,1),(74,1),(84,1),(95,1)}
        69:{1,5,6}:{(50,1),(51,1),(84,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{2,4,6,7}:{(53,1),(55,1),(75,1),(85,1),(96,1)}
        72:{2,5,6}:{(54,1),(55,1),(85,1)}
        73:{3,5,7}:{(56,1),(57,1),(58,1),(86,1)}
        74:{1,3,6,7}:{(57,1),(59,1),(68,1),(87,1),(89,1)}
        75:{2,3,6,7}:{(57,1),(60,1),(71,1),(88,1),(89,1)}
        76:{3,4,6}:{(58,1),(62,1),(86,1),(90,1),(91,1),(102,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(69,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(64,1),(72,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,6}:{(59,1),(60,1),(61,1)}
        80:{1,4,5}:{(62,1),(63,1),(90,1)}
        81:{2,4,5}:{(62,1),(64,1),(91,1)}
        82:{1,2,5}:{(63,1),(64,1),(65,1)}
        83:{1,2,3,6}:{(65,1),(66,1),(94,1),(102,1)}
        84:{1,5,7}:{(67,1),(68,1),(69,1)}
        85:{2,5,7}:{(70,1),(71,1),(72,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,3,5,7}:{(73,1),(74,1),(77,1),(84,1),(95,1),(97,1),(104,1)}
        88:{2,3,5,7}:{(73,1),(75,1),(78,1),(85,1),(96,1),(97,1),(104,1)}
        89:{1,2,6,7}:{(74,1),(75,1),(79,1),(97,1)}
        90:{1,4,6}:{(76,1),(77,1),(80,1),(95,1)}
        91:{2,4,6}:{(76,1),(78,1),(81,1),(96,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(82,1),(97,1),(98,1)}
        93:{1,2,4,5}:{(80,1),(81,1),(82,1),(98,1),(99,1),(100,1)}
        94:{1,2,3,5}:{(82,1),(83,1),(99,1),(100,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,5,7}:{(87,1),(88,1),(89,1),(92,1),(101,1)}
        98:{1,2,4,6}:{(90,1),(91,1),(92,1),(93,1),(101,1),(102,1)}
        99:{3,5}:{(93,1),(102,1),(103,1)}
       100:{1,2,4}:{(94,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       102:{3,6}:{(98,1),(99,1),(104,1)}
       103:{3,4}:{(99,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1616 :   0:{1,2,3,6}:{(3,1),(4,1),(5,1),(75,1),(130,1)}
         1:{2,3,4,6}:{(5,1),(6,1),(7,1),(21,1),(29,1),(30,1),(73,1),(75,1)}
         2:{1,3,4,6}:{(5,1),(8,1),(9,1),(21,1),(34,1),(35,1),(73,1),(75,1)}
         3:{1,2,3,5}:{(0,1),(11,1),(13,1),(40,1),(44,1),(100,1)}
         4:{1,2,3,7}:{(0,1),(12,1),(109,1),(156,1),(191,1)}
         5:{1,2,4,6}:{(0,1),(1,1),(2,1),(11,1),(12,1),(13,1),(48,1)}
         6:{2,3,4,7}:{(1,1),(12,1),(15,1),(43,1),(54,1),(109,1),(192,1)}
         7:{2,3,5}:{(1,1),(13,1),(14,1),(44,1),(107,1)}
         8:{1,3,4,7}:{(2,1),(12,1),(18,1),(43,1),(60,1),(109,1),(193,1)}
         9:{1,3,5}:{(2,1),(13,1),(17,1),(44,1),(107,1)}
        10:{1,2,3,5,7}:{(3,1),(4,1),(22,1),(23,1),(25,1),(67,1),(74,1),(76,1),(127,1),(129,1)}
        11:{1,2,4}:{(3,1),(21,1)}
        12:{1,2,4,7}:{(4,1),(5,1),(6,1),(8,1),(25,1),(209,1)}
        13:{1,2,5}:{(5,1),(7,1),(9,1)}
        14:{2,4,5}:{(7,1),(27,1),(29,1),(137,1)}
        15:{2,3,5,7}:{(6,1),(7,1),(25,1),(28,1),(30,1),(74,1),(210,1),(228,1)}
        16:{2,3,5,6}:{(7,1),(26,1),(29,1),(30,1),(31,1),(37,1),(75,1),(84,1),(138,1)}
        17:{1,4,5}:{(9,1),(32,1),(34,1),(137,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(25,1),(33,1),(35,1),(74,1),(211,1),(229,1)}
        19:{1,3,5,6}:{(9,1),(26,1),(34,1),(35,1),(36,1),(65,1),(75,1),(90,1),(138,1)}
        20:{2,4,5,6}:{(29,1),(37,1),(38,1),(84,1),(143,1)}
        21:{3,4}:{(11,1),(44,1)}
        22:{1,2,3,6}:{(10,1),(45,1),(48,1),(108,1),(155,1)}
        23:{1,2,4,7}:{(10,1),(11,1),(43,1),(45,1),(153,1)}
        24:{1,2,4,5}:{(11,1),(13,1),(14,1),(17,1),(44,1),(47,1),(50,1),(56,1),(100,1)}
        25:{1,2,5,7}:{(12,1),(13,1),(15,1),(18,1),(48,1),(221,1),(230,1)}
        26:{1,2,5,6}:{(13,1),(16,1),(19,1),(47,1),(48,1),(49,1),(62,1),(95,1)}
        27:{3,4,5}:{(14,1),(44,1),(50,1),(52,1)}
        28:{2,4,5,7}:{(14,1),(15,1),(51,1),(53,1),(54,1),(116,1),(200,1),(226,1)}
        29:{2,4,6}:{(14,1),(16,1),(52,1),(54,1),(163,1)}
        30:{2,3,6}:{(15,1),(48,1),(53,1),(108,1)}
        31:{2,3,5,7}:{(16,1),(49,1),(54,1),(55,1),(63,1),(109,1),(116,1),(164,1)}
        32:{3,4,5}:{(17,1),(44,1),(56,1),(58,1)}
        33:{1,4,5,7}:{(17,1),(18,1),(57,1),(59,1),(60,1),(121,1),(197,1),(225,1)}
        34:{1,4,6}:{(17,1),(19,1),(58,1),(60,1),(163,1)}
        35:{1,3,6}:{(18,1),(48,1),(59,1),(108,1)}
        36:{1,3,5,7}:{(19,1),(49,1),(60,1),(61,1),(96,1),(109,1),(121,1),(164,1)}
        37:{3,5,6}:{(20,1),(52,1),(62,1),(63,1)}
        38:{2,4,5,7}:{(20,1),(54,1),(63,1),(64,1),(116,1),(167,1)}
        39:{1,4,5,6}:{(34,1),(65,1),(66,1),(90,1),(147,1)}
        40:{1,2,3}:{(68,1)}
        41:{2,3,4}:{(21,1),(68,1),(70,1)}
        42:{1,3,4}:{(21,1),(68,1),(72,1)}
        43:{3,4,7}:{(21,1),(23,1),(73,1),(74,1),(174,1),(184,1)}
        44:{3,5}:{(21,1),(24,1),(75,1)}
        45:{1,2,4,6}:{(22,1),(23,1),(73,1),(76,1)}
        46:{1,2,4,5,7}:{(23,1),(24,1),(25,1),(28,1),(33,1),(74,1),(76,1),(77,1),(78,1),(80,1),(86,1),(129,1),(137,1),(140,1),(175,1),(184,1),(213,1)}
        47:{1,2,4,6}:{(24,1),(26,1),(29,1),(34,1),(75,1),(78,1),(81,1),(87,1),(130,1)}
        48:{1,2,6}:{(25,1),(30,1),(35,1)}
        49:{1,2,5,7}:{(26,1),(31,1),(36,1),(78,1),(79,1),(92,1),(124,1)}
        50:{1,4,5}:{(27,1),(72,1),(81,1)}
        51:{3,4,5,7}:{(27,1),(28,1),(74,1),(80,1),(82,1),(83,1),(137,1),(144,1),(181,1),(184,1),(217,1)}
        52:{3,4,6}:{(27,1),(29,1),(37,1),(75,1),(81,1),(83,1)}
        53:{2,4,6}:{(28,1),(30,1),(82,1),(84,1)}
        54:{2,4,7}:{(29,1),(31,1),(83,1),(184,1)}
        55:{2,3,6,7}:{(30,1),(31,1),(79,1),(85,1),(93,1),(139,1),(228,1)}
        56:{2,4,5}:{(32,1),(70,1),(87,1)}
        57:{3,4,5,7}:{(32,1),(33,1),(74,1),(86,1),(88,1),(89,1),(137,1),(148,1),(178,1),(184,1),(215,1)}
        58:{3,4,6}:{(32,1),(34,1),(65,1),(75,1),(87,1),(89,1)}
        59:{1,4,6}:{(33,1),(35,1),(88,1),(90,1)}
        60:{1,4,7}:{(34,1),(36,1),(89,1),(184,1)}
        61:{1,3,6,7}:{(35,1),(36,1),(79,1),(91,1),(125,1),(139,1),(229,1)}
        62:{1,5,6}:{(37,1),(81,1),(92,1)}
        63:{3,5,7}:{(37,1),(38,1),(83,1),(92,1),(93,1)}
        64:{2,4,6,7}:{(38,1),(93,1),(94,1),(150,1)}
        65:{3,5,6}:{(39,1),(58,1),(95,1),(96,1)}
        66:{1,4,5,7}:{(39,1),(60,1),(96,1),(97,1),(121,1),(170,1)}
        67:{1,2,3,7}:{(40,1),(98,1),(99,1),(224,1),(230,1)}
        68:{1,2,4}:{(40,1),(41,1),(42,1),(100,1)}
        69:{2,3,4,7}:{(41,1),(43,1),(99,1),(101,1),(102,1),(199,1),(224,1)}
        70:{2,3,5}:{(41,1),(44,1),(56,1),(100,1),(103,1)}
        71:{1,3,4,7}:{(42,1),(43,1),(99,1),(104,1),(105,1),(202,1),(224,1)}
        72:{1,3,5}:{(42,1),(44,1),(50,1),(100,1),(106,1)}
        73:{3,4,6}:{(43,1),(45,1),(107,1),(108,1),(163,1)}
        74:{3,5,7}:{(43,1),(44,1),(46,1),(107,1),(108,1),(109,1),(194,1),(224,1)}
        75:{3,6}:{(44,1),(47,1),(109,1)}
        76:{1,2,5}:{(45,1),(107,1)}
        77:{1,2,4,6}:{(46,1),(48,1),(53,1),(59,1),(108,1),(110,1),(112,1),(117,1),(155,1),(163,1)}
        78:{1,2,4,7}:{(47,1),(49,1),(54,1),(60,1),(109,1),(113,1),(118,1),(156,1)}
        79:{1,2,6,7}:{(48,1),(49,1),(55,1),(61,1),(122,1),(151,1),(230,1)}
        80:{1,4,5,7}:{(50,1),(51,1),(105,1),(112,1),(113,1),(160,1),(166,1),(202,1)}
        81:{1,4,6}:{(50,1),(52,1),(62,1),(106,1),(113,1)}
        82:{3,4,6}:{(51,1),(53,1),(108,1),(112,1),(114,1),(163,1)}
        83:{3,4,7}:{(52,1),(54,1),(63,1),(109,1),(113,1)}
        84:{2,5,6}:{(53,1),(114,1),(116,1)}
        85:{2,4,6,7}:{(53,1),(54,1),(55,1),(115,1),(116,1),(207,1),(226,1)}
        86:{2,4,5,7}:{(56,1),(57,1),(102,1),(117,1),(118,1),(157,1),(169,1),(199,1)}
        87:{2,4,6}:{(56,1),(58,1),(95,1),(103,1),(118,1)}
        88:{3,4,6}:{(57,1),(59,1),(108,1),(117,1),(119,1),(163,1)}
        89:{3,4,7}:{(58,1),(60,1),(96,1),(109,1),(118,1)}
        90:{1,5,6}:{(59,1),(119,1),(121,1)}
        91:{1,4,6,7}:{(59,1),(60,1),(61,1),(120,1),(121,1),(220,1),(225,1)}
        92:{1,5,7}:{(62,1),(63,1),(113,1),(122,1)}
        93:{3,6,7}:{(63,1),(64,1),(122,1)}
        94:{2,5,6,7}:{(64,1),(116,1),(123,1),(207,1)}
        95:{2,5,6}:{(65,1),(87,1),(124,1)}
        96:{3,5,7}:{(65,1),(66,1),(89,1),(124,1),(125,1)}
        97:{1,4,6,7}:{(66,1),(125,1),(126,1),(173,1)}
        98:{1,2,3,6}:{(67,1),(127,1),(128,1),(212,1),(227,1)}
        99:{1,2,4,7}:{(67,1),(68,1),(69,1),(71,1),(128,1),(129,1)}
       100:{1,2,5}:{(68,1),(70,1),(72,1),(130,1)}
       101:{2,3,4,6}:{(69,1),(73,1),(128,1),(131,1),(132,1),(174,1),(179,1),(212,1)}
       102:{2,3,5,7}:{(69,1),(70,1),(74,1),(86,1),(129,1),(131,1),(132,1),(133,1)}
       103:{2,3,6}:{(70,1),(75,1),(87,1),(130,1),(133,1)}
       104:{1,3,4,6}:{(71,1),(73,1),(128,1),(134,1),(135,1),(174,1),(182,1),(212,1)}
       105:{1,3,5,7}:{(71,1),(72,1),(74,1),(80,1),(129,1),(134,1),(135,1),(136,1)}
       106:{1,3,6}:{(72,1),(75,1),(81,1),(130,1),(136,1)}
       107:{3,5}:{(73,1),(76,1),(137,1)}
       108:{3,6}:{(74,1),(77,1)}
       109:{3,7}:{(75,1),(78,1)}
       110:{1,2,5,6}:{(76,1),(77,1),(84,1),(90,1),(138,1),(140,1),(141,1),(145,1)}
       111:{1,2,4,6,7}:{(77,1),(78,1),(79,1),(85,1),(91,1),(139,1),(140,1),(142,1),(146,1),(177,1),(184,1),(213,1)}
       112:{1,4,6}:{(80,1),(82,1),(135,1),(141,1)}
       113:{1,4,7}:{(81,1),(83,1),(92,1),(136,1)}
       114:{3,5,6}:{(82,1),(84,1),(141,1),(143,1),(144,1)}
       115:{3,4,6,7}:{(82,1),(83,1),(85,1),(93,1),(139,1),(142,1),(144,1),(150,1),(184,1),(189,1),(217,1)}
       116:{2,5,7}:{(84,1),(85,1),(144,1)}
       117:{2,4,6}:{(86,1),(88,1),(132,1),(145,1)}
       118:{2,4,7}:{(87,1),(89,1),(124,1),(133,1)}
       119:{3,5,6}:{(88,1),(90,1),(145,1),(147,1),(148,1)}
       120:{3,4,6,7}:{(88,1),(89,1),(91,1),(125,1),(139,1),(146,1),(148,1),(173,1),(184,1),(208,1),(215,1)}
       121:{1,5,7}:{(90,1),(91,1),(148,1)}
       122:{1,6,7}:{(92,1),(93,1)}
       123:{3,5,6,7}:{(93,1),(94,1),(144,1),(149,1),(150,1),(189,1)}
       124:{2,5,7}:{(95,1),(96,1),(118,1),(151,1)}
       125:{3,6,7}:{(96,1),(97,1),(151,1)}
       126:{1,5,6,7}:{(97,1),(121,1),(152,1),(220,1)}
       127:{1,2,3,5}:{(98,1),(153,1),(154,1),(191,1),(194,1),(221,1)}
       128:{1,2,4,6}:{(98,1),(99,1),(101,1),(104,1),(153,1),(154,1),(155,1)}
       129:{1,2,5,7}:{(99,1),(100,1),(102,1),(105,1),(154,1),(155,1),(156,1)}
       130:{1,2,6}:{(100,1),(103,1),(106,1),(156,1)}
       131:{2,3,5}:{(101,1),(107,1),(154,1),(157,1),(194,1)}
       132:{2,3,6}:{(102,1),(108,1),(117,1),(155,1)}
       133:{2,3,7}:{(103,1),(109,1),(118,1),(156,1)}
       134:{1,3,5}:{(104,1),(107,1),(154,1),(160,1),(194,1)}
       135:{1,3,6}:{(105,1),(108,1),(112,1),(155,1)}
       136:{1,3,7}:{(106,1),(109,1),(113,1),(156,1)}
       137:{4,5}:{(107,1),(163,1)}
       138:{3,5,6}:{(107,1),(108,1),(110,1),(163,1),(164,1)}
       139:{3,6,7}:{(108,1),(109,1),(111,1),(164,1),(224,1)}
       140:{1,2,5,7}:{(110,1),(111,1),(116,1),(121,1),(164,1),(166,1),(169,1)}
       141:{1,5,6}:{(112,1),(114,1),(166,1)}
       142:{1,4,6,7}:{(112,1),(113,1),(115,1),(122,1),(162,1),(166,1),(202,1)}
       143:{4,5,6}:{(114,1),(163,1),(167,1)}
       144:{3,5,7}:{(114,1),(115,1),(116,1),(166,1),(167,1)}
       145:{2,5,6}:{(117,1),(119,1),(169,1)}
       146:{2,4,6,7}:{(117,1),(118,1),(120,1),(151,1),(159,1),(169,1),(199,1)}
       147:{4,5,6}:{(119,1),(163,1),(170,1)}
       148:{3,5,7}:{(119,1),(120,1),(121,1),(169,1),(170,1)}
       149:{1,5,6,7}:{(122,1),(123,1),(166,1),(171,1)}
       150:{4,6,7}:{(123,1),(167,1)}
       151:{2,6,7}:{(124,1),(125,1)}
       152:{3,5,6,7}:{(125,1),(126,1),(148,1),(172,1),(173,1),(208,1)}
       153:{1,2,4}:{(127,1),(174,1)}
       154:{1,2,5}:{(128,1),(131,1),(134,1)}
       155:{1,2,6}:{(129,1),(132,1),(135,1)}
       156:{1,2,7}:{(130,1),(133,1),(136,1)}
       157:{2,4,5}:{(131,1),(137,1),(178,1),(179,1)}
       158:{2,3,5,6}:{(131,1),(132,1),(138,1),(145,1),(176,1),(179,1),(180,1),(187,1),(212,1)}
       159:{2,3,6,7}:{(132,1),(133,1),(139,1),(146,1),(177,1),(180,1),(208,1)}
       160:{1,4,5}:{(134,1),(137,1),(181,1),(182,1)}
       161:{1,3,5,6}:{(134,1),(135,1),(138,1),(141,1),(176,1),(182,1),(183,1),(185,1),(212,1)}
       162:{1,3,6,7}:{(135,1),(136,1),(139,1),(142,1),(177,1),(183,1),(189,1)}
       163:{4,6}:{(137,1),(138,1),(184,1)}
       164:{3,5,7}:{(138,1),(139,1),(140,1),(184,1)}
       165:{1,4,5,6}:{(141,1),(143,1),(182,1),(185,1),(186,1)}
       166:{1,5,7}:{(141,1),(142,1),(144,1)}
       167:{4,5,7}:{(143,1),(144,1),(150,1),(184,1)}
       168:{2,4,5,6}:{(145,1),(147,1),(179,1),(187,1),(188,1)}
       169:{2,5,7}:{(145,1),(146,1),(148,1)}
       170:{4,5,7}:{(147,1),(148,1),(173,1),(184,1)}
       171:{1,4,6,7}:{(149,1),(150,1),(186,1),(189,1)}
       172:{2,5,6,7}:{(151,1),(152,1),(169,1),(190,1)}
       173:{4,6,7}:{(152,1),(170,1)}
       174:{3,4}:{(153,1),(194,1)}
       175:{1,2,4,5}:{(153,1),(154,1),(157,1),(160,1),(194,1),(195,1),(197,1),(200,1),(221,1)}
       176:{1,2,5,6}:{(154,1),(155,1),(158,1),(161,1),(195,1),(196,1),(203,1),(205,1)}
       177:{1,2,6,7}:{(155,1),(156,1),(159,1),(162,1),(196,1),(207,1),(220,1)}
       178:{3,4,5}:{(157,1),(194,1),(197,1),(198,1)}
       179:{2,4,6}:{(157,1),(158,1),(163,1),(198,1),(199,1)}
       180:{2,3,5,7}:{(158,1),(159,1),(164,1),(169,1),(196,1),(199,1),(206,1),(224,1)}
       181:{3,4,5}:{(160,1),(194,1),(200,1),(201,1)}
       182:{1,4,6}:{(160,1),(161,1),(163,1),(201,1),(202,1)}
       183:{1,3,5,7}:{(161,1),(162,1),(164,1),(166,1),(196,1),(202,1),(204,1),(224,1)}
       184:{4,7}:{(163,1),(164,1)}
       185:{3,5,6}:{(165,1),(201,1),(203,1),(204,1)}
       186:{1,4,5,7}:{(165,1),(166,1),(167,1),(171,1),(202,1),(204,1)}
       187:{3,5,6}:{(168,1),(198,1),(205,1),(206,1)}
       188:{2,4,5,7}:{(168,1),(169,1),(170,1),(190,1),(199,1),(206,1)}
       189:{3,6,7}:{(171,1),(204,1),(207,1)}
       190:{2,4,6,7}:{(172,1),(173,1),(188,1),(208,1)}
       191:{1,2,3}:{(209,1)}
       192:{2,3,4}:{(174,1),(209,1),(210,1)}
       193:{1,3,4}:{(174,1),(209,1),(211,1)}
       194:{3,5}:{(174,1),(175,1),(212,1)}
       195:{1,2,4,6}:{(175,1),(176,1),(179,1),(182,1),(212,1),(213,1),(214,1),(216,1),(227,1)}
       196:{1,2,5,7}:{(176,1),(177,1),(180,1),(183,1),(213,1),(218,1),(219,1)}
       197:{1,4,5}:{(178,1),(211,1),(214,1)}
       198:{3,4,6}:{(178,1),(179,1),(187,1),(212,1),(214,1),(215,1)}
       199:{2,4,7}:{(179,1),(180,1),(184,1),(215,1)}
       200:{2,4,5}:{(181,1),(210,1),(216,1)}
       201:{3,4,6}:{(181,1),(182,1),(185,1),(212,1),(216,1),(217,1)}
       202:{1,4,7}:{(182,1),(183,1),(184,1),(217,1)}
       203:{2,5,6}:{(185,1),(216,1),(218,1)}
       204:{3,5,7}:{(185,1),(186,1),(189,1),(217,1),(218,1)}
       205:{1,5,6}:{(187,1),(214,1),(219,1)}
       206:{3,5,7}:{(187,1),(188,1),(208,1),(215,1),(219,1)}
       207:{2,6,7}:{(189,1),(218,1)}
       208:{3,6,7}:{(190,1),(206,1),(220,1)}
       209:{1,2,4}:{(191,1),(192,1),(193,1),(221,1)}
       210:{2,3,5}:{(192,1),(194,1),(200,1),(221,1),(222,1)}
       211:{1,3,5}:{(193,1),(194,1),(197,1),(221,1),(223,1)}
       212:{3,6}:{(194,1),(195,1),(224,1)}
       213:{1,2,4,7}:{(195,1),(196,1),(199,1),(202,1),(224,1),(225,1),(226,1),(230,1)}
       214:{1,4,6}:{(197,1),(198,1),(205,1),(223,1),(225,1)}
       215:{3,4,7}:{(198,1),(199,1),(206,1),(224,1),(225,1)}
       216:{2,4,6}:{(200,1),(201,1),(203,1),(222,1),(226,1)}
       217:{3,4,7}:{(201,1),(202,1),(204,1),(224,1),(226,1)}
       218:{2,5,7}:{(203,1),(204,1),(207,1),(226,1)}
       219:{1,5,7}:{(205,1),(206,1),(220,1),(225,1)}
       220:{1,6,7}:{(208,1),(219,1)}
       221:{1,2,5}:{(209,1),(210,1),(211,1),(227,1)}
       222:{2,3,6}:{(210,1),(212,1),(216,1),(227,1),(228,1)}
       223:{1,3,6}:{(211,1),(212,1),(214,1),(227,1),(229,1)}
       224:{3,7}:{(212,1),(213,1)}
       225:{1,4,7}:{(214,1),(215,1),(219,1),(229,1)}
       226:{2,4,7}:{(216,1),(217,1),(218,1),(228,1)}
       227:{1,2,6}:{(221,1),(222,1),(223,1),(230,1)}
       228:{2,3,7}:{(222,1),(224,1),(226,1),(230,1)}
       229:{1,3,7}:{(223,1),(224,1),(225,1),(230,1)}
       230:{1,2,7}:{(227,1),(228,1),(229,1)}

1617 :   0:{1,3,4,5,7}:{(4,1),(5,1),(7,1),(51,1),(65,1),(97,1),(104,1),(109,1),(112,1),(117,1)}
         1:{1,3,4,6,7}:{(5,1),(6,1),(7,1),(9,1),(32,1),(65,1),(70,1)}
         2:{1,3,5,6,7}:{(7,1),(8,1),(9,1),(10,1),(32,1),(108,1)}
         3:{1,4,5,6,7}:{(9,1),(10,1),(158,1)}
         4:{1,2,4,5,7}:{(0,1),(11,1),(12,1),(15,1),(34,1),(44,1),(75,1),(79,1)}
         5:{1,3,4,6}:{(0,1),(12,1),(13,1),(80,1),(135,1),(138,1),(143,1)}
         6:{1,2,4,6,7}:{(1,1),(12,1),(14,1),(15,1),(44,1)}
         7:{1,3,5,7}:{(1,1),(13,1),(15,1),(16,1),(45,1),(95,1)}
         8:{1,2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(20,1),(84,1),(95,1)}
         9:{1,4,6,7}:{(2,1),(16,1),(19,1),(135,1)}
        10:{3,5,6,7}:{(3,1),(19,1),(20,1),(180,1)}
        11:{2,3,5,7}:{(4,1),(22,1),(23,1),(56,1),(112,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(23,1),(24,1),(57,1)}
        13:{1,3,5,6}:{(5,1),(7,1),(24,1),(25,1),(58,1),(97,1),(120,1)}
        14:{2,3,6,7}:{(6,1),(23,1),(28,1),(32,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(24,1),(28,1)}
        16:{1,4,5,7}:{(7,1),(9,1),(25,1),(30,1)}
        17:{2,3,5,6,7}:{(8,1),(28,1),(31,1),(32,1),(63,1),(69,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(29,1),(31,1),(32,1),(33,1),(70,1),(71,1),(111,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(30,1),(32,1),(33,1),(160,1)}
        20:{2,5,6,7}:{(10,1),(33,1),(196,1)}
        21:{1,2,3,5,7}:{(11,1),(34,1),(35,1),(72,1),(75,1)}
        22:{2,3,4,7}:{(11,1),(34,1),(37,1),(44,1),(86,1)}
        23:{2,3,6}:{(11,1),(12,1),(138,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(15,1),(38,1),(75,1)}
        25:{1,4,5,6}:{(13,1),(16,1),(40,1),(123,1),(135,1)}
        26:{1,2,3,6,7}:{(14,1),(35,1),(41,1),(42,1),(49,1),(121,1),(138,1),(184,1),(185,1)}
        27:{2,3,4,6,7}:{(14,1),(37,1),(41,1),(43,1),(44,1),(48,1),(86,1),(88,1),(138,1)}
        28:{2,3,5,7}:{(14,1),(15,1),(38,1),(44,1),(45,1)}
        29:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(46,1),(47,1),(90,1),(92,1),(95,1)}
        30:{3,4,5,7}:{(16,1),(19,1),(40,1),(45,1),(46,1)}
        31:{2,4,6,7}:{(17,1),(44,1),(47,1),(48,1),(88,1)}
        32:{3,6,7}:{(18,1),(45,1),(138,1)}
        33:{2,4,6,7}:{(19,1),(20,1),(46,1),(50,1),(182,1)}
        34:{1,2,4,7}:{(21,1),(22,1),(51,1),(53,1)}
        35:{1,2,3,6}:{(21,1),(23,1),(53,1),(96,1)}
        36:{2,3,4,5,7}:{(22,1),(52,1),(55,1),(56,1),(64,1),(102,1),(112,1),(148,1),(161,1),(186,1)}
        37:{2,3,4,6}:{(22,1),(23,1),(53,1),(56,1),(57,1),(101,1)}
        38:{2,3,5,6}:{(23,1),(24,1),(28,1),(56,1),(57,1),(58,1)}
        39:{1,2,4,5,6}:{(24,1),(25,1),(29,1),(57,1),(58,1),(59,1),(68,1),(100,1),(105,1),(107,1),(111,1),(120,1)}
        40:{3,4,5,6}:{(25,1),(30,1),(58,1),(59,1),(148,1),(160,1)}
        41:{1,2,4,6,7}:{(26,1),(27,1),(53,1),(60,1),(61,1),(62,1),(70,1),(111,1),(197,1)}
        42:{1,2,3,5,7}:{(26,1),(28,1),(54,1),(61,1),(62,1),(66,1),(112,1),(146,1),(165,1),(166,1),(191,1)}
        43:{2,3,5,7}:{(27,1),(56,1),(61,1),(63,1),(64,1),(69,1),(112,1)}
        44:{2,4,7}:{(28,1),(57,1),(65,1)}
        45:{3,5,7}:{(29,1),(32,1),(58,1),(65,1)}
        46:{2,4,5,7}:{(30,1),(33,1),(59,1),(67,1)}
        47:{2,4,5,7}:{(31,1),(68,1),(69,1)}
        48:{3,4,6,7}:{(31,1),(32,1),(65,1),(69,1),(70,1),(116,1)}
        49:{1,3,6,7}:{(32,1),(66,1),(70,1),(71,1),(163,1)}
        50:{2,3,6,7}:{(32,1),(33,1),(67,1),(71,1),(164,1)}
        51:{1,3,4,7}:{(34,1),(72,1),(73,1),(86,1),(168,1)}
        52:{1,2,4,5,7}:{(34,1),(36,1),(72,1),(74,1),(75,1),(123,1),(124,1),(168,1)}
        53:{1,2,4,6}:{(34,1),(35,1),(37,1),(73,1),(75,1)}
        54:{1,2,3,5,6}:{(35,1),(38,1),(42,1),(75,1),(76,1),(81,1),(84,1),(122,1),(126,1),(138,1),(174,1),(175,1),(176,1),(185,1)}
        55:{2,3,4,6}:{(36,1),(74,1),(78,1),(88,1),(138,1),(169,1),(182,1)}
        56:{2,3,5}:{(37,1),(75,1),(79,1),(126,1)}
        57:{2,4,6}:{(38,1),(44,1),(79,1),(80,1)}
        58:{3,5,6}:{(39,1),(45,1),(80,1),(126,1),(138,1)}
        59:{2,4,5,6}:{(40,1),(46,1),(82,1),(171,1),(182,1)}
        60:{1,3,4,6,7}:{(41,1),(73,1),(83,1),(86,1),(121,1),(135,1),(138,1),(168,1),(181,1)}
        61:{1,2,5,7}:{(41,1),(43,1),(75,1),(83,1),(84,1),(95,1),(205,1)}
        62:{1,2,4,7}:{(42,1),(44,1),(76,1),(86,1),(90,1),(168,1),(200,1)}
        63:{2,3,5,6}:{(43,1),(84,1),(88,1),(94,1),(138,1)}
        64:{2,4,5,7}:{(43,1),(44,1),(79,1),(88,1),(89,1)}
        65:{3,4,7}:{(44,1),(45,1),(80,1),(90,1)}
        66:{1,3,5,7}:{(45,1),(49,1),(81,1),(90,1),(92,1),(95,1),(144,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(50,1),(82,1),(91,1),(92,1)}
        68:{2,4,5,6}:{(47,1),(88,1),(94,1)}
        69:{3,5,7}:{(47,1),(48,1),(94,1),(95,1)}
        70:{1,4,6,7}:{(48,1),(49,1),(90,1),(95,1),(143,1)}
        71:{1,2,6,7}:{(49,1),(50,1),(92,1),(185,1)}
        72:{1,3,5,7}:{(51,1),(52,1),(96,1),(97,1),(112,1)}
        73:{1,3,4,6}:{(51,1),(53,1),(96,1),(97,1),(101,1),(147,1)}
        74:{1,2,4,6}:{(52,1),(55,1),(96,1),(99,1),(147,1)}
        75:{1,2,5}:{(53,1),(56,1),(97,1)}
        76:{1,2,4,6}:{(54,1),(57,1),(62,1),(100,1),(101,1),(105,1),(147,1),(188,1)}
        77:{2,3,4,6,7}:{(55,1),(98,1),(102,1),(115,1),(162,1),(186,1),(197,1)}
        78:{2,3,5,6}:{(55,1),(56,1),(99,1),(102,1),(103,1),(150,1),(196,1)}
        79:{2,4,5}:{(56,1),(57,1),(104,1)}
        80:{3,4,6}:{(57,1),(58,1),(65,1),(104,1),(105,1)}
        81:{1,3,5,6}:{(58,1),(66,1),(105,1),(107,1),(120,1),(151,1),(157,1),(163,1)}
        82:{2,3,5,6}:{(58,1),(59,1),(67,1),(106,1),(107,1),(152,1),(164,1)}
        83:{1,3,5,7}:{(60,1),(61,1),(97,1),(108,1),(109,1),(112,1),(195,1)}
        84:{1,2,5,6}:{(61,1),(63,1),(108,1),(111,1),(120,1),(196,1)}
        85:{1,2,4,5,7}:{(61,1),(62,1),(64,1),(100,1),(109,1),(111,1),(112,1),(117,1),(161,1),(165,1)}
        86:{3,4,7}:{(62,1),(101,1),(112,1)}
        87:{2,3,5,6,7}:{(63,1),(102,1),(110,1),(115,1),(119,1),(162,1)}
        88:{2,4,6}:{(63,1),(64,1),(116,1)}
        89:{3,4,5,7}:{(64,1),(65,1),(69,1),(104,1),(112,1),(116,1),(117,1)}
        90:{1,4,7}:{(65,1),(66,1),(105,1)}
        91:{2,3,4,7}:{(65,1),(67,1),(106,1),(118,1)}
        92:{1,2,5,7}:{(66,1),(67,1),(71,1),(107,1),(118,1)}
        93:{2,4,5,6,7}:{(68,1),(115,1),(119,1)}
        94:{3,5,6}:{(68,1),(69,1),(116,1),(120,1)}
        95:{1,5,7}:{(69,1),(70,1),(120,1)}
        96:{1,3,6}:{(72,1),(74,1),(138,1)}
        97:{1,3,5}:{(73,1),(75,1),(123,1),(126,1)}
        98:{1,2,4,6,7}:{(74,1),(77,1),(121,1),(124,1),(168,1)}
        99:{1,2,5,6}:{(74,1),(75,1),(78,1),(122,1),(124,1)}
       100:{1,2,4,5}:{(75,1),(76,1),(79,1),(123,1),(126,1),(131,1),(171,1),(175,1)}
       101:{3,4,6}:{(76,1),(86,1),(126,1),(138,1)}
       102:{2,3,5,7}:{(77,1),(78,1),(124,1),(129,1),(172,1),(205,1)}
       103:{2,4,5,6}:{(78,1),(79,1),(88,1),(129,1),(130,1)}
       104:{3,4,5}:{(79,1),(80,1),(126,1),(131,1)}
       105:{1,4,6}:{(80,1),(81,1),(90,1),(131,1)}
       106:{2,3,4,6}:{(80,1),(82,1),(91,1),(132,1),(133,1)}
       107:{1,2,5,6}:{(81,1),(82,1),(92,1),(133,1),(175,1),(185,1)}
       108:{1,3,5,6}:{(83,1),(84,1),(135,1),(138,1),(180,1)}
       109:{1,4,5,7}:{(83,1),(123,1),(135,1),(136,1),(168,1)}
       110:{1,2,5,6,7}:{(84,1),(87,1),(124,1),(134,1),(137,1),(145,1),(205,1)}
       111:{1,2,4,6}:{(84,1),(85,1),(88,1),(135,1),(138,1),(143,1),(182,1),(185,1)}
       112:{3,5,7}:{(85,1),(86,1),(126,1),(138,1)}
       113:{1,3,4,7}:{(86,1),(90,1),(127,1),(139,1),(141,1),(144,1)}
       114:{2,3,4,7}:{(86,1),(128,1),(140,1),(141,1),(200,1),(209,1)}
       115:{2,4,6,7}:{(87,1),(88,1),(129,1),(142,1)}
       116:{3,4,6}:{(88,1),(89,1),(94,1),(138,1),(143,1)}
       117:{1,4,5,7}:{(89,1),(90,1),(95,1),(131,1),(139,1),(143,1)}
       118:{1,2,4,7}:{(90,1),(91,1),(92,1),(133,1),(144,1)}
       119:{3,5,6,7}:{(93,1),(94,1),(142,1),(145,1)}
       120:{1,5,6}:{(94,1),(95,1),(143,1)}
       121:{1,3,6,7}:{(96,1),(98,1),(146,1),(162,1)}
       122:{1,3,5,6}:{(96,1),(97,1),(99,1),(146,1),(147,1),(150,1)}
       123:{1,4,5}:{(97,1),(147,1),(148,1)}
       124:{1,2,5,7}:{(98,1),(99,1),(102,1),(146,1)}
       125:{1,2,4,5,6}:{(99,1),(100,1),(103,1),(111,1),(147,1),(149,1),(150,1),(155,1),(158,1),(188,1),(192,1),(196,1)}
       126:{3,5}:{(100,1),(101,1)}
       127:{1,3,4,6}:{(101,1),(105,1),(113,1),(151,1),(153,1),(157,1),(163,1),(194,1)}
       128:{2,3,4,6}:{(101,1),(114,1),(152,1),(153,1),(164,1),(188,1),(207,1),(208,1)}
       129:{2,4,5,7}:{(102,1),(103,1),(115,1),(154,1)}
       130:{3,4,5,6}:{(103,1),(104,1),(116,1),(150,1),(154,1),(155,1)}
       131:{1,4,5}:{(104,1),(105,1),(151,1)}
       132:{2,3,4,5}:{(104,1),(106,1),(152,1),(156,1),(208,1)}
       133:{1,2,4,6}:{(105,1),(106,1),(107,1),(118,1),(156,1),(157,1)}
       134:{1,3,5,6,7}:{(108,1),(110,1),(146,1),(159,1),(162,1),(195,1)}
       135:{1,4,6}:{(108,1),(109,1),(160,1)}
       136:{3,4,5,7}:{(109,1),(112,1),(148,1),(160,1),(161,1),(186,1),(195,1)}
       137:{1,2,4,6,7}:{(110,1),(111,1),(115,1),(149,1),(159,1),(162,1),(167,1),(197,1),(198,1)}
       138:{3,6}:{(111,1),(112,1)}
       139:{1,3,5,7}:{(112,1),(113,1),(117,1),(151,1),(163,1),(165,1)}
       140:{2,3,5,7}:{(112,1),(114,1),(152,1),(161,1),(164,1),(165,1)}
       141:{1,2,4,7}:{(113,1),(114,1),(153,1),(165,1),(166,1)}
       142:{3,4,6,7}:{(115,1),(116,1),(119,1),(154,1),(162,1),(167,1)}
       143:{1,4,6}:{(116,1),(117,1),(120,1),(163,1)}
       144:{1,3,7}:{(118,1),(157,1)}
       145:{1,5,6,7}:{(119,1),(120,1),(167,1)}
       146:{1,3,5,7}:{(121,1),(122,1),(124,1),(168,1),(172,1)}
       147:{1,4,6}:{(122,1),(123,1),(168,1),(169,1)}
       148:{3,4,5}:{(123,1),(126,1),(169,1),(171,1)}
       149:{1,2,4,5,7}:{(124,1),(125,1),(129,1),(137,1),(168,1),(172,1),(177,1),(179,1),(200,1),(203,1),(205,1)}
       150:{3,5,6}:{(125,1),(126,1),(138,1),(169,1),(172,1)}
       151:{1,3,5}:{(126,1),(127,1),(131,1),(175,1)}
       152:{2,3,5}:{(126,1),(128,1),(171,1),(175,1)}
       153:{1,2,4,6}:{(127,1),(128,1),(141,1),(175,1),(176,1),(185,1),(204,1)}
       154:{3,4,5,7}:{(129,1),(130,1),(142,1),(172,1),(177,1)}
       155:{1,4,5,6}:{(130,1),(131,1),(143,1),(173,1),(177,1)}
       156:{1,2,4,5}:{(131,1),(132,1),(133,1),(175,1),(178,1),(204,1)}
       157:{1,3,6}:{(133,1),(144,1),(178,1)}
       158:{1,4,5,6}:{(135,1),(179,1),(180,1)}
       159:{1,4,6,7}:{(134,1),(135,1),(168,1),(179,1),(181,1)}
       160:{3,4,6}:{(135,1),(136,1),(138,1),(180,1),(182,1)}
       161:{2,4,5,7}:{(136,1),(140,1),(171,1),(182,1),(200,1),(205,1)}
       162:{3,6,7}:{(137,1),(138,1),(172,1)}
       163:{1,3,6}:{(138,1),(139,1),(143,1),(185,1)}
       164:{2,3,6}:{(138,1),(140,1),(182,1),(185,1)}
       165:{1,2,5,7}:{(139,1),(140,1),(141,1),(175,1),(185,1)}
       166:{1,2,3,7}:{(141,1),(144,1),(176,1),(209,1)}
       167:{1,4,6,7}:{(142,1),(143,1),(145,1),(177,1),(183,1)}
       168:{1,4,7}:{(146,1),(147,1),(186,1)}
       169:{3,4,6}:{(147,1),(148,1),(150,1),(186,1),(188,1)}
       170:{1,3,4,5}:{(148,1),(151,1),(187,1),(189,1),(194,1)}
       171:{2,4,5}:{(148,1),(152,1),(188,1)}
       172:{3,5,7}:{(149,1),(150,1),(162,1),(186,1)}
       173:{1,3,5,6}:{(150,1),(151,1),(155,1),(163,1),(187,1),(190,1),(192,1)}
       174:{2,3,5,6}:{(150,1),(152,1),(164,1),(188,1),(191,1),(192,1),(196,1),(207,1)}
       175:{1,2,5}:{(151,1),(152,1),(153,1)}
       176:{1,2,3,6}:{(153,1),(157,1),(166,1),(193,1),(207,1)}
       177:{1,4,5,7}:{(154,1),(155,1),(167,1),(190,1)}
       178:{1,3,5}:{(156,1),(157,1),(194,1)}
       179:{1,4,5,7}:{(158,1),(159,1),(195,1)}
       180:{3,5,6}:{(158,1),(160,1),(195,1),(196,1)}
       181:{3,4,6,7}:{(159,1),(160,1),(162,1),(186,1),(195,1),(197,1)}
       182:{2,4,6}:{(160,1),(161,1),(164,1),(196,1)}
       183:{1,3,6,7}:{(162,1),(163,1),(167,1),(190,1),(198,1)}
       184:{2,3,6,7}:{(162,1),(164,1),(191,1),(197,1),(198,1)}
       185:{1,2,6}:{(163,1),(164,1),(165,1)}
       186:{3,4,7}:{(168,1),(169,1),(172,1),(200,1)}
       187:{1,3,4,6}:{(169,1),(170,1),(173,1),(199,1),(201,1)}
       188:{2,4,6}:{(169,1),(171,1),(174,1),(200,1)}
       189:{1,2,4,5}:{(170,1),(171,1),(175,1),(201,1),(202,1),(204,1)}
       190:{1,3,5,7}:{(172,1),(173,1),(177,1),(183,1),(199,1),(203,1)}
       191:{2,3,5,7}:{(172,1),(174,1),(184,1),(200,1),(203,1),(205,1),(209,1)}
       192:{1,2,5,6}:{(173,1),(174,1),(175,1),(185,1),(201,1),(203,1)}
       193:{1,2,3,5}:{(175,1),(176,1),(178,1),(202,1),(204,1)}
       194:{1,3,4}:{(178,1),(204,1)}
       195:{3,5,7}:{(179,1),(180,1),(181,1),(205,1)}
       196:{2,5,6}:{(180,1),(182,1),(205,1)}
       197:{2,4,6,7}:{(181,1),(182,1),(184,1),(200,1),(205,1)}
       198:{1,2,6,7}:{(183,1),(184,1),(185,1),(203,1)}
       199:{1,3,4,7}:{(186,1),(187,1),(190,1),(206,1)}
       200:{2,4,7}:{(186,1),(188,1),(191,1)}
       201:{1,2,4,6}:{(187,1),(188,1),(189,1),(192,1),(206,1),(207,1)}
       202:{2,3,5}:{(189,1),(207,1),(208,1)}
       203:{1,2,5,7}:{(190,1),(191,1),(192,1),(198,1),(206,1)}
       204:{1,2,4}:{(193,1),(194,1),(208,1)}
       205:{2,5,7}:{(195,1),(196,1),(197,1)}
       206:{1,2,4,7}:{(199,1),(200,1),(201,1),(203,1),(209,1)}
       207:{2,3,6}:{(201,1),(202,1),(209,1)}
       208:{2,3,4}:{(202,1),(204,1)}
       209:{2,3,7}:{(206,1),(207,1)}

1618 :   0:{2,3,4,5,7}:{(1,1),(2,1),(10,1),(41,1),(76,1),(84,1),(91,1),(122,1),(125,1),(130,1)}
         1:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(20,1),(26,1),(53,1),(63,1),(67,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(68,1),(147,1),(150,1),(155,1)}
         3:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(12,1),(39,1),(76,1),(81,1)}
         4:{2,3,5,6,7}:{(10,1),(11,1),(12,1),(13,1),(39,1),(121,1)}
         5:{2,4,5,6,7}:{(12,1),(13,1),(169,1)}
         6:{1,3,5,7}:{(1,1),(15,1),(16,1),(46,1),(125,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(47,1)}
         8:{2,3,5,6}:{(2,1),(10,1),(17,1),(18,1),(48,1),(84,1),(133,1)}
         9:{1,2,4,6,7}:{(3,1),(7,1),(19,1),(20,1),(53,1)}
        10:{2,3,5,7}:{(3,1),(8,1),(20,1),(21,1),(54,1),(107,1)}
        11:{1,2,5,6,7}:{(4,1),(20,1),(22,1),(23,1),(25,1),(96,1),(107,1)}
        12:{2,4,6,7}:{(4,1),(21,1),(24,1),(147,1)}
        13:{3,5,6,7}:{(5,1),(24,1),(25,1),(189,1)}
        14:{1,2,3,5,7}:{(6,1),(26,1),(27,1),(60,1),(63,1)}
        15:{1,3,4,7}:{(6,1),(26,1),(29,1),(53,1),(98,1)}
        16:{1,3,6}:{(6,1),(7,1),(150,1)}
        17:{1,2,5,6}:{(7,1),(8,1),(20,1),(30,1),(63,1)}
        18:{2,4,5,6}:{(8,1),(21,1),(32,1),(110,1),(147,1)}
        19:{1,3,6,7}:{(9,1),(16,1),(35,1),(39,1)}
        20:{1,2,5,7}:{(9,1),(10,1),(17,1),(35,1)}
        21:{2,4,5,7}:{(10,1),(12,1),(18,1),(37,1)}
        22:{1,3,5,6,7}:{(11,1),(35,1),(38,1),(39,1),(74,1),(80,1)}
        23:{1,2,4,6,7}:{(11,1),(12,1),(36,1),(38,1),(39,1),(40,1),(81,1),(82,1),(124,1)}
        24:{3,4,6,7}:{(12,1),(13,1),(37,1),(39,1),(40,1),(171,1)}
        25:{1,5,6,7}:{(13,1),(40,1),(202,1)}
        26:{1,2,4,7}:{(14,1),(15,1),(41,1),(43,1)}
        27:{1,2,3,6}:{(14,1),(16,1),(43,1),(83,1)}
        28:{1,3,4,5,7}:{(15,1),(42,1),(45,1),(46,1),(75,1),(89,1),(125,1),(136,1),(172,1),(179,1)}
        29:{1,3,4,6}:{(15,1),(16,1),(43,1),(46,1),(47,1),(88,1)}
        30:{1,3,5,6}:{(16,1),(17,1),(35,1),(46,1),(47,1),(48,1)}
        31:{1,2,4,5,6}:{(17,1),(18,1),(36,1),(47,1),(48,1),(49,1),(79,1),(87,1),(93,1),(94,1),(124,1),(133,1)}
        32:{3,4,5,6}:{(18,1),(37,1),(48,1),(49,1),(136,1),(171,1)}
        33:{1,2,3,6,7}:{(19,1),(27,1),(50,1),(51,1),(59,1),(108,1),(150,1),(192,1),(194,1)}
        34:{1,3,4,6,7}:{(19,1),(29,1),(50,1),(52,1),(53,1),(57,1),(98,1),(100,1),(150,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(30,1),(53,1),(54,1)}
        36:{1,2,4,5,7}:{(20,1),(21,1),(23,1),(31,1),(53,1),(54,1),(55,1),(56,1),(103,1),(104,1),(107,1)}
        37:{3,4,5,7}:{(21,1),(24,1),(32,1),(54,1),(55,1)}
        38:{1,4,6,7}:{(22,1),(53,1),(56,1),(57,1),(100,1)}
        39:{3,6,7}:{(23,1),(54,1),(150,1)}
        40:{1,4,6,7}:{(24,1),(25,1),(55,1),(58,1),(191,1)}
        41:{2,3,4,7}:{(26,1),(60,1),(61,1),(98,1),(158,1)}
        42:{1,2,4,5,7}:{(26,1),(28,1),(60,1),(62,1),(63,1),(110,1),(111,1),(158,1)}
        43:{1,2,4,6}:{(26,1),(27,1),(29,1),(61,1),(63,1)}
        44:{1,2,3,5,6}:{(27,1),(30,1),(51,1),(63,1),(64,1),(70,1),(96,1),(109,1),(113,1),(150,1),(163,1),(165,1),(166,1),(194,1)}
        45:{1,3,4,6}:{(28,1),(62,1),(66,1),(100,1),(150,1),(159,1),(191,1)}
        46:{1,3,5}:{(29,1),(63,1),(67,1),(113,1)}
        47:{1,4,6}:{(30,1),(53,1),(67,1),(68,1)}
        48:{3,5,6}:{(31,1),(54,1),(68,1),(113,1),(150,1)}
        49:{1,4,5,6}:{(32,1),(55,1),(69,1),(160,1),(191,1)}
        50:{1,2,4,6,7}:{(33,1),(34,1),(43,1),(71,1),(72,1),(73,1),(81,1),(124,1),(203,1)}
        51:{1,2,3,5,7}:{(33,1),(35,1),(44,1),(72,1),(73,1),(78,1),(125,1),(134,1),(176,1),(177,1),(183,1)}
        52:{1,3,5,7}:{(34,1),(46,1),(72,1),(74,1),(75,1),(80,1),(125,1)}
        53:{1,4,7}:{(35,1),(47,1),(76,1)}
        54:{3,5,7}:{(36,1),(39,1),(48,1),(76,1)}
        55:{1,4,5,7}:{(37,1),(40,1),(49,1),(77,1)}
        56:{1,4,5,7}:{(38,1),(79,1),(80,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(76,1),(80,1),(81,1),(129,1)}
        58:{1,3,6,7}:{(39,1),(40,1),(77,1),(82,1),(174,1)}
        59:{2,3,6,7}:{(39,1),(78,1),(81,1),(82,1),(175,1)}
        60:{2,3,5,7}:{(41,1),(42,1),(83,1),(84,1),(125,1)}
        61:{2,3,4,6}:{(41,1),(43,1),(83,1),(84,1),(88,1),(135,1)}
        62:{1,2,4,6}:{(42,1),(45,1),(83,1),(86,1),(135,1)}
        63:{1,2,5}:{(43,1),(46,1),(84,1)}
        64:{1,2,4,6}:{(44,1),(47,1),(73,1),(87,1),(88,1),(93,1),(135,1),(180,1)}
        65:{1,3,4,6,7}:{(45,1),(85,1),(89,1),(128,1),(173,1),(179,1),(203,1)}
        66:{1,3,5,6}:{(45,1),(46,1),(86,1),(89,1),(90,1),(138,1),(202,1)}
        67:{1,4,5}:{(46,1),(47,1),(91,1)}
        68:{3,4,6}:{(47,1),(48,1),(76,1),(91,1),(93,1)}
        69:{1,3,5,6}:{(48,1),(49,1),(77,1),(92,1),(94,1),(139,1),(174,1)}
        70:{2,3,5,6}:{(48,1),(78,1),(93,1),(94,1),(133,1),(140,1),(145,1),(175,1)}
        71:{2,3,4,6,7}:{(50,1),(61,1),(95,1),(98,1),(108,1),(147,1),(150,1),(158,1),(190,1)}
        72:{1,2,5,7}:{(50,1),(52,1),(63,1),(95,1),(96,1),(107,1),(208,1)}
        73:{1,2,4,7}:{(51,1),(53,1),(64,1),(98,1),(103,1),(158,1),(195,1)}
        74:{1,3,5,6}:{(52,1),(96,1),(100,1),(106,1),(150,1)}
        75:{1,4,5,7}:{(52,1),(53,1),(67,1),(100,1),(101,1)}
        76:{3,4,7}:{(53,1),(54,1),(68,1),(103,1)}
        77:{1,3,5,7}:{(54,1),(55,1),(58,1),(69,1),(102,1),(104,1)}
        78:{2,3,5,7}:{(54,1),(59,1),(70,1),(103,1),(104,1),(107,1),(156,1)}
        79:{1,4,5,6}:{(56,1),(100,1),(106,1)}
        80:{3,5,7}:{(56,1),(57,1),(106,1),(107,1)}
        81:{2,4,6,7}:{(57,1),(59,1),(103,1),(107,1),(155,1)}
        82:{1,2,6,7}:{(58,1),(59,1),(104,1),(194,1)}
        83:{2,3,6}:{(60,1),(62,1),(150,1)}
        84:{2,3,5}:{(61,1),(63,1),(110,1),(113,1)}
        85:{1,2,4,6,7}:{(62,1),(65,1),(108,1),(111,1),(158,1)}
        86:{1,2,5,6}:{(62,1),(63,1),(66,1),(109,1),(111,1)}
        87:{1,2,4,5}:{(63,1),(64,1),(67,1),(110,1),(113,1),(119,1),(160,1),(165,1)}
        88:{3,4,6}:{(64,1),(98,1),(113,1),(150,1)}
        89:{1,3,5,7}:{(65,1),(66,1),(111,1),(116,1),(162,1),(208,1)}
        90:{1,4,5,6}:{(66,1),(67,1),(100,1),(116,1),(117,1)}
        91:{3,4,5}:{(67,1),(68,1),(113,1),(119,1)}
        92:{1,3,4,6}:{(68,1),(69,1),(102,1),(118,1),(120,1)}
        93:{2,4,6}:{(68,1),(70,1),(103,1),(119,1)}
        94:{1,2,5,6}:{(69,1),(70,1),(104,1),(120,1),(165,1),(194,1)}
        95:{2,3,5,7}:{(71,1),(72,1),(84,1),(121,1),(122,1),(125,1),(201,1)}
        96:{1,2,5,6}:{(72,1),(74,1),(121,1),(124,1),(133,1),(202,1)}
        97:{1,2,4,5,7}:{(72,1),(73,1),(75,1),(87,1),(122,1),(124,1),(125,1),(130,1),(172,1),(176,1)}
        98:{3,4,7}:{(73,1),(88,1),(125,1)}
        99:{1,3,5,6,7}:{(74,1),(89,1),(123,1),(128,1),(132,1),(173,1)}
       100:{1,4,6}:{(74,1),(75,1),(129,1)}
       101:{3,4,5,7}:{(75,1),(76,1),(80,1),(91,1),(125,1),(129,1),(130,1)}
       102:{1,3,4,7}:{(76,1),(77,1),(92,1),(131,1)}
       103:{2,4,7}:{(76,1),(78,1),(93,1)}
       104:{1,2,5,7}:{(77,1),(78,1),(82,1),(94,1),(131,1)}
       105:{1,4,5,6,7}:{(79,1),(128,1),(132,1)}
       106:{3,5,6}:{(79,1),(80,1),(129,1),(133,1)}
       107:{2,5,7}:{(80,1),(81,1),(133,1)}
       108:{2,3,6,7}:{(83,1),(85,1),(134,1),(173,1)}
       109:{2,3,5,6}:{(83,1),(84,1),(86,1),(134,1),(135,1),(138,1)}
       110:{2,4,5}:{(84,1),(135,1),(136,1)}
       111:{1,2,5,7}:{(85,1),(86,1),(89,1),(134,1)}
       112:{1,2,4,5,6}:{(86,1),(87,1),(90,1),(124,1),(135,1),(137,1),(138,1),(143,1),(169,1),(180,1),(185,1),(202,1)}
       113:{3,5}:{(87,1),(88,1)}
       114:{1,3,4,6}:{(88,1),(126,1),(139,1),(141,1),(174,1),(180,1),(206,1),(207,1)}
       115:{2,3,4,6}:{(88,1),(93,1),(127,1),(140,1),(141,1),(145,1),(175,1),(187,1)}
       116:{1,4,5,7}:{(89,1),(90,1),(128,1),(142,1)}
       117:{3,4,5,6}:{(90,1),(91,1),(129,1),(138,1),(142,1),(143,1)}
       118:{1,3,4,5}:{(91,1),(92,1),(139,1),(144,1),(207,1)}
       119:{2,4,5}:{(91,1),(93,1),(140,1)}
       120:{1,2,4,6}:{(92,1),(93,1),(94,1),(131,1),(144,1),(145,1)}
       121:{2,3,5,6}:{(95,1),(96,1),(147,1),(150,1),(189,1)}
       122:{2,4,5,7}:{(95,1),(110,1),(147,1),(148,1),(158,1)}
       123:{1,2,5,6,7}:{(96,1),(99,1),(111,1),(146,1),(149,1),(157,1),(208,1)}
       124:{1,2,4,6}:{(96,1),(97,1),(100,1),(147,1),(150,1),(155,1),(191,1),(194,1)}
       125:{3,5,7}:{(97,1),(98,1),(113,1),(150,1)}
       126:{1,3,4,7}:{(98,1),(114,1),(151,1),(153,1),(195,1),(209,1)}
       127:{2,3,4,7}:{(98,1),(103,1),(115,1),(152,1),(153,1),(156,1)}
       128:{1,4,6,7}:{(99,1),(100,1),(116,1),(154,1)}
       129:{3,4,6}:{(100,1),(101,1),(106,1),(150,1),(155,1)}
       130:{2,4,5,7}:{(101,1),(103,1),(107,1),(119,1),(152,1),(155,1)}
       131:{1,2,4,7}:{(102,1),(103,1),(104,1),(120,1),(156,1)}
       132:{3,5,6,7}:{(105,1),(106,1),(154,1),(157,1)}
       133:{2,5,6}:{(106,1),(107,1),(155,1)}
       134:{2,3,5,7}:{(108,1),(109,1),(111,1),(158,1),(162,1)}
       135:{2,4,6}:{(109,1),(110,1),(158,1),(159,1)}
       136:{3,4,5}:{(110,1),(113,1),(159,1),(160,1)}
       137:{1,2,4,5,7}:{(111,1),(112,1),(116,1),(149,1),(158,1),(162,1),(167,1),(188,1),(195,1),(199,1),(208,1)}
       138:{3,5,6}:{(112,1),(113,1),(150,1),(159,1),(162,1)}
       139:{1,3,5}:{(113,1),(114,1),(160,1),(165,1)}
       140:{2,3,5}:{(113,1),(115,1),(119,1),(165,1)}
       141:{1,2,4,6}:{(114,1),(115,1),(153,1),(165,1),(166,1),(194,1),(200,1)}
       142:{3,4,5,7}:{(116,1),(117,1),(154,1),(162,1),(167,1)}
       143:{2,4,5,6}:{(117,1),(119,1),(155,1),(164,1),(167,1)}
       144:{1,2,4,5}:{(118,1),(119,1),(120,1),(165,1),(168,1),(200,1)}
       145:{2,3,6}:{(120,1),(156,1),(168,1)}
       146:{2,3,5,6,7}:{(121,1),(123,1),(134,1),(170,1),(173,1),(201,1)}
       147:{2,4,6}:{(121,1),(122,1),(171,1)}
       148:{3,4,5,7}:{(122,1),(125,1),(136,1),(171,1),(172,1),(179,1),(201,1)}
       149:{1,2,4,6,7}:{(123,1),(124,1),(128,1),(137,1),(170,1),(173,1),(178,1),(203,1),(204,1)}
       150:{3,6}:{(124,1),(125,1)}
       151:{1,3,5,7}:{(125,1),(126,1),(139,1),(172,1),(174,1),(176,1)}
       152:{2,3,5,7}:{(125,1),(127,1),(130,1),(140,1),(175,1),(176,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(141,1),(176,1),(177,1)}
       154:{3,4,6,7}:{(128,1),(129,1),(132,1),(142,1),(173,1),(178,1)}
       155:{2,4,6}:{(129,1),(130,1),(133,1),(175,1)}
       156:{2,3,7}:{(131,1),(145,1)}
       157:{2,5,6,7}:{(132,1),(133,1),(178,1)}
       158:{2,4,7}:{(134,1),(135,1),(179,1)}
       159:{3,4,6}:{(135,1),(136,1),(138,1),(179,1),(180,1)}
       160:{1,4,5}:{(136,1),(139,1),(180,1)}
       161:{2,3,4,5}:{(136,1),(140,1),(181,1),(182,1),(187,1)}
       162:{3,5,7}:{(137,1),(138,1),(173,1),(179,1)}
       163:{1,3,5,6}:{(138,1),(139,1),(174,1),(180,1),(183,1),(185,1),(202,1),(206,1)}
       164:{2,3,5,6}:{(138,1),(140,1),(143,1),(175,1),(181,1),(184,1),(185,1)}
       165:{1,2,5}:{(139,1),(140,1),(141,1)}
       166:{1,2,3,6}:{(141,1),(145,1),(177,1),(186,1),(206,1)}
       167:{2,4,5,7}:{(142,1),(143,1),(178,1),(184,1)}
       168:{2,3,5}:{(144,1),(145,1),(187,1)}
       169:{2,4,5,6}:{(147,1),(188,1),(189,1)}
       170:{2,4,6,7}:{(146,1),(147,1),(158,1),(188,1),(190,1)}
       171:{3,4,6}:{(147,1),(148,1),(150,1),(189,1),(191,1)}
       172:{1,4,5,7}:{(148,1),(151,1),(160,1),(191,1),(195,1),(208,1)}
       173:{3,6,7}:{(149,1),(150,1),(162,1)}
       174:{1,3,6}:{(150,1),(151,1),(191,1),(194,1)}
       175:{2,3,6}:{(150,1),(152,1),(155,1),(194,1)}
       176:{1,2,5,7}:{(151,1),(152,1),(153,1),(165,1),(194,1)}
       177:{1,2,3,7}:{(153,1),(156,1),(166,1),(209,1)}
       178:{2,4,6,7}:{(154,1),(155,1),(157,1),(167,1),(193,1)}
       179:{3,4,7}:{(158,1),(159,1),(162,1),(195,1)}
       180:{1,4,6}:{(159,1),(160,1),(163,1),(195,1)}
       181:{2,3,4,6}:{(159,1),(161,1),(164,1),(196,1),(197,1)}
       182:{1,2,4,5}:{(160,1),(161,1),(165,1),(197,1),(198,1),(200,1)}
       183:{1,3,5,7}:{(162,1),(163,1),(192,1),(195,1),(199,1),(208,1),(209,1)}
       184:{2,3,5,7}:{(162,1),(164,1),(167,1),(193,1),(196,1),(199,1)}
       185:{1,2,5,6}:{(163,1),(164,1),(165,1),(194,1),(197,1),(199,1)}
       186:{1,2,3,5}:{(165,1),(166,1),(168,1),(198,1),(200,1)}
       187:{2,3,4}:{(168,1),(200,1)}
       188:{2,4,5,7}:{(169,1),(170,1),(201,1)}
       189:{3,5,6}:{(169,1),(171,1),(201,1),(202,1)}
       190:{3,4,6,7}:{(170,1),(171,1),(173,1),(179,1),(201,1),(203,1)}
       191:{1,4,6}:{(171,1),(172,1),(174,1),(202,1)}
       192:{1,3,6,7}:{(173,1),(174,1),(183,1),(203,1),(204,1)}
       193:{2,3,6,7}:{(173,1),(175,1),(178,1),(184,1),(204,1)}
       194:{1,2,6}:{(174,1),(175,1),(176,1)}
       195:{1,4,7}:{(179,1),(180,1),(183,1)}
       196:{2,3,4,7}:{(179,1),(181,1),(184,1),(205,1)}
       197:{1,2,4,6}:{(180,1),(181,1),(182,1),(185,1),(205,1),(206,1)}
       198:{1,3,5}:{(182,1),(206,1),(207,1)}
       199:{1,2,5,7}:{(183,1),(184,1),(185,1),(204,1),(205,1)}
       200:{1,2,4}:{(186,1),(187,1),(207,1)}
       201:{3,5,7}:{(188,1),(189,1),(190,1),(208,1)}
       202:{1,5,6}:{(189,1),(191,1),(208,1)}
       203:{1,4,6,7}:{(190,1),(191,1),(192,1),(195,1),(208,1)}
       204:{1,2,6,7}:{(192,1),(193,1),(194,1),(199,1)}
       205:{1,2,4,7}:{(195,1),(196,1),(197,1),(199,1),(209,1)}
       206:{1,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,3,4}:{(198,1),(200,1)}
       208:{1,5,7}:{(201,1),(202,1),(203,1)}
       209:{1,3,7}:{(205,1),(206,1)}

1619 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(19,1),(20,1),(21,1),(44,1),(76,1),(95,1),(96,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(114,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(16,1),(20,1),(124,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(14,1),(76,1),(100,1),(122,1)}
         4:{1,2,4,5,6}:{(2,1),(10,1),(26,1),(27,1),(31,1)}
         5:{3,5,7}:{(2,1),(3,1),(10,1),(132,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(59,1),(60,1),(88,1),(89,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(59,1),(60,1),(90,1),(91,1),(114,1)}
         8:{3,4,5,7}:{(5,1),(14,1),(15,1),(16,1),(43,1),(100,1),(101,1)}
         9:{1,2,4,5,6,7}:{(4,1),(17,1),(40,1),(41,1),(44,1),(67,1),(109,1)}
        10:{3,5,6}:{(4,1),(5,1),(14,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(15,1),(18,1),(20,1),(43,1),(105,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(16,1),(19,1),(20,1),(43,1),(107,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(42,1),(46,1),(103,1)}
        14:{3,4,6}:{(8,1),(10,1),(26,1),(27,1),(59,1)}
        15:{1,4,5,7}:{(8,1),(11,1),(26,1),(112,1),(113,1)}
        16:{2,4,5,7}:{(8,1),(12,1),(27,1),(114,1),(115,1)}
        17:{3,5,6,7}:{(9,1),(10,1),(25,1),(84,1),(121,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(26,1),(31,1),(59,1)}
        19:{2,3,5,6}:{(10,1),(12,1),(27,1),(31,1),(59,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(31,1),(118,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(59,1),(86,1),(88,1),(90,1)}
        22:{3,4,5,6}:{(14,1),(33,1),(34,1),(35,1),(68,1),(101,1),(127,1)}
        23:{2,3,4,5,7}:{(16,1),(36,1),(37,1),(43,1),(63,1),(75,1),(100,1),(101,1),(107,1),(126,1),(137,1)}
        24:{1,3,4,5,7}:{(15,1),(38,1),(39,1),(43,1),(65,1),(72,1),(100,1),(101,1),(105,1),(125,1),(137,1)}
        25:{3,4,6,7}:{(14,1),(17,1),(33,1),(40,1),(41,1),(76,1),(100,1),(127,1)}
        26:{1,4,6}:{(14,1),(15,1),(18,1)}
        27:{2,4,6}:{(14,1),(16,1),(19,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(20,1),(42,1),(43,1),(46,1),(79,1)}
        29:{1,3,5,6,7}:{(17,1),(18,1),(40,1),(44,1),(65,1),(76,1),(96,1),(129,1)}
        30:{2,3,5,6,7}:{(17,1),(19,1),(41,1),(44,1),(63,1),(76,1),(98,1),(130,1)}
        31:{1,2,5,6}:{(18,1),(19,1),(20,1),(42,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(46,1),(96,1),(98,1)}
        33:{3,4,5,7}:{(22,1),(25,1),(49,1),(50,1),(84,1)}
        34:{1,4,5,6}:{(22,1),(26,1),(48,1),(49,1),(113,1),(134,1)}
        35:{2,4,5,6}:{(22,1),(27,1),(47,1),(50,1),(115,1),(135,1)}
        36:{2,3,4,6}:{(23,1),(27,1),(47,1),(53,1),(59,1),(85,1),(135,1),(139,1)}
        37:{1,2,4,5,7}:{(23,1),(53,1),(54,1),(80,1),(87,1),(112,1),(113,1),(118,1)}
        38:{1,3,4,6}:{(24,1),(26,1),(48,1),(56,1),(59,1),(85,1),(134,1),(139,1)}
        39:{1,2,4,5,7}:{(24,1),(56,1),(57,1),(82,1),(87,1),(114,1),(115,1),(118,1)}
        40:{1,4,6,7}:{(25,1),(26,1),(29,1),(49,1),(112,1),(134,1)}
        41:{2,4,6,7}:{(25,1),(27,1),(30,1),(50,1),(114,1),(135,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(59,1)}
        43:{3,5,7}:{(28,1),(59,1),(60,1),(93,1)}
        44:{1,2,5,6,7}:{(29,1),(30,1),(31,1),(58,1),(80,1),(82,1),(136,1)}
        45:{1,2,3,5,6}:{(31,1),(32,1),(59,1),(62,1),(81,1),(83,1),(86,1),(93,1),(118,1)}
        46:{1,2,4,7}:{(32,1),(60,1),(62,1),(112,1),(114,1)}
        47:{2,3,5,6}:{(35,1),(36,1),(63,1),(64,1),(68,1),(107,1)}
        48:{1,3,5,6}:{(34,1),(38,1),(65,1),(66,1),(68,1),(105,1)}
        49:{1,4,5,7}:{(33,1),(34,1),(40,1),(65,1)}
        50:{2,4,5,7}:{(33,1),(35,1),(41,1),(63,1)}
        51:{1,2,4,5,6}:{(34,1),(35,1),(42,1),(64,1),(66,1),(67,1),(68,1),(79,1),(97,1),(99,1),(124,1),(138,1)}
        52:{2,3,4,6,7}:{(36,1),(41,1),(63,1),(70,1),(76,1),(100,1)}
        53:{1,2,4,6}:{(36,1),(37,1),(64,1),(71,1),(97,1)}
        54:{1,3,5,7}:{(37,1),(43,1),(71,1),(72,1),(105,1),(137,1)}
        55:{1,3,4,6,7}:{(38,1),(40,1),(65,1),(73,1),(76,1),(100,1)}
        56:{1,2,4,6}:{(38,1),(39,1),(66,1),(74,1),(99,1)}
        57:{2,3,5,7}:{(39,1),(43,1),(74,1),(75,1),(107,1),(137,1)}
        58:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(44,1),(67,1),(76,1),(138,1)}
        59:{3,6}:{(42,1),(43,1)}
        60:{3,4,7}:{(43,1),(46,1),(77,1)}
        61:{1,2,3,5,6,7}:{(44,1),(45,1),(76,1),(78,1),(96,1),(98,1),(102,1),(108,1),(128,1),(129,1),(130,1)}
        62:{1,2,4,6}:{(45,1),(46,1),(77,1),(79,1),(97,1),(99,1)}
        63:{2,3,5,7}:{(47,1),(50,1),(52,1),(80,1),(84,1)}
        64:{1,2,5,6}:{(47,1),(53,1),(80,1),(81,1),(118,1)}
        65:{1,3,5,7}:{(48,1),(49,1),(55,1),(82,1),(84,1)}
        66:{1,2,5,6}:{(48,1),(56,1),(82,1),(83,1),(118,1)}
        67:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(58,1),(80,1),(82,1),(84,1),(112,1),(114,1)}
        68:{3,5,6}:{(51,1),(59,1),(84,1),(85,1),(93,1),(132,1),(139,1)}
        69:{1,2,3,5,7}:{(54,1),(57,1),(86,1),(87,1),(118,1)}
        70:{1,2,4,6,7}:{(52,1),(53,1),(80,1),(88,1),(112,1)}
        71:{1,3,6}:{(53,1),(54,1),(59,1),(139,1)}
        72:{1,3,4,7}:{(54,1),(60,1),(87,1),(89,1),(112,1),(131,1)}
        73:{1,2,4,6,7}:{(55,1),(56,1),(82,1),(90,1),(114,1)}
        74:{2,3,6}:{(56,1),(57,1),(59,1),(139,1)}
        75:{2,3,4,7}:{(57,1),(60,1),(87,1),(91,1),(114,1),(131,1)}
        76:{3,6,7}:{(58,1),(59,1),(84,1),(139,1)}
        77:{3,4,6}:{(59,1),(60,1),(62,1),(93,1)}
        78:{1,2,4,6,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(114,1),(134,1),(135,1)}
        79:{1,2,4,5}:{(62,1),(93,1),(113,1),(115,1),(118,1)}
        80:{1,2,5,7}:{(63,1),(64,1),(70,1),(96,1)}
        81:{1,3,5,6}:{(64,1),(68,1),(71,1),(96,1),(97,1),(105,1)}
        82:{1,2,5,7}:{(65,1),(66,1),(73,1),(98,1)}
        83:{2,3,5,6}:{(66,1),(68,1),(74,1),(98,1),(99,1),(107,1)}
        84:{3,5,7}:{(67,1),(68,1),(76,1),(100,1)}
        85:{3,4,6}:{(68,1),(97,1),(99,1),(100,1),(101,1)}
        86:{1,2,3,6}:{(69,1),(71,1),(74,1),(103,1)}
        87:{1,2,4,7}:{(69,1),(72,1),(75,1),(103,1)}
        88:{1,3,6,7}:{(70,1),(71,1),(76,1),(96,1)}
        89:{1,3,4,6}:{(71,1),(72,1),(77,1),(97,1),(103,1),(105,1),(122,1)}
        90:{2,3,6,7}:{(73,1),(74,1),(76,1),(98,1)}
        91:{2,3,4,6}:{(74,1),(75,1),(77,1),(99,1),(103,1),(107,1),(122,1)}
        92:{3,4,6,7}:{(76,1),(77,1),(78,1),(100,1),(108,1),(127,1)}
        93:{3,5}:{(77,1),(79,1)}
        94:{1,2,4,5,7}:{(78,1),(79,1),(108,1),(109,1),(125,1),(126,1),(128,1)}
        95:{1,2,3,5,6}:{(81,1),(83,1),(86,1),(110,1),(111,1),(118,1),(132,1),(136,1),(139,1)}
        96:{1,3,5,7}:{(80,1),(81,1),(84,1),(88,1),(112,1)}
        97:{1,4,6}:{(81,1),(85,1),(112,1),(113,1)}
        98:{2,3,5,7}:{(82,1),(83,1),(84,1),(90,1),(114,1)}
        99:{2,4,6}:{(83,1),(85,1),(114,1),(115,1)}
       100:{3,4,7}:{(84,1),(85,1),(112,1),(114,1)}
       101:{3,4,5}:{(85,1),(93,1),(113,1),(115,1),(132,1)}
       102:{1,2,3,6,7}:{(86,1),(88,1),(90,1),(110,1),(117,1),(139,1)}
       103:{1,2,4,6}:{(86,1),(87,1),(89,1),(91,1),(118,1)}
       104:{1,3,4,6,7}:{(88,1),(89,1),(92,1),(112,1),(117,1),(119,1),(131,1),(134,1),(139,1)}
       105:{1,3,5}:{(89,1),(93,1),(113,1),(118,1),(132,1)}
       106:{2,3,4,6,7}:{(90,1),(91,1),(92,1),(114,1),(117,1),(120,1),(131,1),(135,1),(139,1)}
       107:{2,3,5}:{(91,1),(93,1),(115,1),(118,1),(132,1)}
       108:{3,5,7}:{(92,1),(93,1),(94,1),(121,1)}
       109:{1,2,4,5,6}:{(94,1),(121,1),(134,1),(135,1),(136,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(102,1),(123,1),(128,1),(137,1)}
       111:{1,2,4,6}:{(95,1),(97,1),(99,1),(122,1),(123,1),(124,1)}
       112:{1,4,7}:{(96,1),(97,1),(100,1)}
       113:{1,4,5}:{(97,1),(101,1),(105,1)}
       114:{2,4,7}:{(98,1),(99,1),(100,1)}
       115:{2,4,5}:{(99,1),(101,1),(107,1)}
       116:{3,4,5,7}:{(100,1),(101,1),(108,1),(125,1),(126,1),(127,1),(137,1)}
       117:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(106,1),(123,1),(128,1),(138,1)}
       118:{1,2,5}:{(103,1),(105,1),(107,1)}
       119:{1,3,5,7}:{(104,1),(105,1),(108,1),(125,1),(128,1),(129,1),(137,1)}
       120:{2,3,5,7}:{(106,1),(107,1),(108,1),(126,1),(128,1),(130,1),(137,1)}
       121:{3,5,6}:{(108,1),(109,1),(127,1)}
       122:{3,4,6}:{(111,1),(131,1),(132,1),(139,1)}
       123:{1,2,4,7}:{(110,1),(111,1),(112,1),(114,1),(131,1)}
       124:{1,2,4,5}:{(111,1),(113,1),(115,1),(118,1),(132,1)}
       125:{1,4,5,7}:{(112,1),(113,1),(116,1),(119,1),(134,1)}
       126:{2,4,5,7}:{(114,1),(115,1),(116,1),(120,1),(135,1)}
       127:{3,4,6}:{(116,1),(121,1),(134,1),(135,1),(139,1)}
       128:{1,2,5,7}:{(117,1),(118,1),(119,1),(120,1),(136,1)}
       129:{1,3,5,6}:{(119,1),(121,1),(134,1),(136,1),(139,1)}
       130:{2,3,5,6}:{(120,1),(121,1),(135,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(137,1)}
       132:{3,5}:{(122,1),(124,1)}
       133:{1,2,4,5,7}:{(123,1),(124,1),(125,1),(126,1),(128,1),(137,1),(138,1)}
       134:{1,4,6}:{(125,1),(127,1),(129,1)}
       135:{2,4,6}:{(126,1),(127,1),(130,1)}
       136:{1,2,5,6}:{(128,1),(129,1),(130,1),(138,1)}
       137:{3,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       138:{1,2,4,6}:{(133,1),(134,1),(135,1),(136,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1620 :   0:{1,2,3,6,7}:{(2,1),(3,1),(40,1),(77,1),(78,1),(79,1),(80,1),(104,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(38,1),(40,1),(46,1),(79,1),(96,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(7,1),(8,1),(24,1),(57,1),(65,1),(84,1),(93,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(25,1),(61,1),(62,1),(89,1),(90,1),(92,1)}
         4:{2,3,5,7}:{(1,1),(7,1),(9,1),(10,1),(25,1),(56,1),(63,1)}
         5:{1,3,4,6,7}:{(2,1),(11,1),(15,1),(33,1),(37,1),(40,1),(68,1),(78,1),(95,1),(104,1)}
         6:{1,2,3,5,6}:{(3,1),(12,1),(13,1),(36,1),(40,1),(74,1),(75,1),(76,1),(77,1),(80,1)}
         7:{1,2,5,7}:{(2,1),(4,1),(11,1),(13,1),(76,1),(81,1),(94,1)}
         8:{1,2,4,7}:{(3,1),(12,1),(15,1),(95,1),(96,1),(100,1)}
         9:{2,3,5,6}:{(4,1),(13,1),(17,1),(40,1),(45,1)}
        10:{2,4,5,7}:{(4,1),(17,1),(18,1),(72,1),(96,1)}
        11:{1,3,5,7}:{(5,1),(7,1),(19,1),(20,1),(25,1),(55,1),(82,1)}
        12:{1,2,4,6}:{(6,1),(8,1),(21,1),(22,1),(86,1),(87,1)}
        13:{1,2,5,6}:{(7,1),(9,1),(19,1),(24,1),(64,1),(83,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(10,1),(20,1),(21,1),(24,1),(25,1),(31,1),(51,1),(61,1),(88,1),(101,1)}
        15:{3,4,7}:{(8,1),(22,1),(25,1),(103,1)}
        16:{2,3,5,6,7}:{(9,1),(23,1),(29,1),(58,1),(63,1),(90,1)}
        17:{2,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(25,1),(30,1),(31,1),(52,1),(63,1),(85,1)}
        19:{1,3,5,6}:{(11,1),(13,1),(33,1),(40,1),(67,1)}
        20:{1,4,5,7}:{(11,1),(33,1),(34,1),(71,1),(95,1)}
        21:{1,2,4,5}:{(12,1),(36,1),(71,1),(72,1),(76,1)}
        22:{3,4,6}:{(12,1),(15,1),(36,1),(40,1)}
        23:{1,2,5,6,7}:{(13,1),(16,1),(32,1),(39,1),(81,1),(94,1),(99,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(17,1),(33,1),(40,1),(47,1),(69,1),(80,1)}
        25:{3,5,7}:{(14,1),(15,1),(36,1),(40,1),(98,1),(104,1)}
        26:{1,3,4,7}:{(15,1),(37,1),(41,1),(43,1),(95,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(38,1),(42,1),(43,1),(96,1),(104,1)}
        28:{2,4,5,6}:{(17,1),(44,1),(45,1)}
        29:{2,4,6,7}:{(16,1),(17,1),(44,1),(46,1),(96,1)}
        30:{3,4,6}:{(17,1),(18,1),(40,1),(45,1),(47,1)}
        31:{1,4,5,7}:{(18,1),(41,1),(47,1),(71,1),(81,1),(95,1)}
        32:{1,3,5,6,7}:{(19,1),(23,1),(49,1),(58,1),(82,1),(89,1)}
        33:{1,4,6}:{(19,1),(20,1),(50,1)}
        34:{3,4,5,7}:{(20,1),(25,1),(50,1),(51,1),(52,1),(82,1),(85,1)}
        35:{1,2,4,5,6}:{(21,1),(24,1),(28,1),(48,1),(53,1),(54,1),(64,1),(83,1),(86,1),(87,1),(91,1)}
        36:{3,5}:{(21,1),(22,1)}
        37:{1,3,4,6}:{(22,1),(26,1),(55,1),(57,1),(59,1),(86,1),(102,1),(103,1)}
        38:{2,3,4,6}:{(22,1),(27,1),(56,1),(57,1),(60,1),(87,1),(102,1),(103,1)}
        39:{1,2,4,6,7}:{(23,1),(24,1),(29,1),(49,1),(53,1),(58,1),(65,1),(84,1),(93,1),(101,1)}
        40:{3,6}:{(24,1),(25,1)}
        41:{1,3,5,7}:{(25,1),(26,1),(31,1),(55,1),(59,1),(61,1)}
        42:{2,3,5,7}:{(25,1),(27,1),(51,1),(56,1),(60,1),(61,1)}
        43:{1,2,4,7}:{(26,1),(27,1),(57,1),(61,1),(62,1)}
        44:{2,4,5,7}:{(28,1),(29,1),(63,1)}
        45:{3,5,6}:{(28,1),(30,1),(63,1),(64,1)}
        46:{3,4,6,7}:{(29,1),(30,1),(58,1),(63,1),(65,1),(85,1)}
        47:{1,4,6}:{(30,1),(31,1),(59,1),(64,1)}
        48:{1,4,5,6}:{(33,1),(66,1),(67,1)}
        49:{1,4,6,7}:{(32,1),(33,1),(66,1),(68,1),(95,1)}
        50:{3,4,6}:{(33,1),(34,1),(40,1),(67,1),(69,1)}
        51:{2,4,5,7}:{(34,1),(42,1),(69,1),(72,1),(94,1),(96,1)}
        52:{3,4,5}:{(36,1),(70,1),(71,1),(72,1),(98,1)}
        53:{1,2,4,5,7}:{(35,1),(39,1),(44,1),(66,1),(73,1),(81,1),(94,1),(95,1),(96,1),(99,1)}
        54:{3,5,6}:{(35,1),(36,1),(40,1),(70,1),(73,1)}
        55:{1,3,5}:{(36,1),(37,1),(71,1),(76,1),(98,1)}
        56:{2,3,5}:{(36,1),(38,1),(72,1),(76,1),(98,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(43,1),(76,1),(77,1),(80,1),(100,1)}
        58:{3,6,7}:{(39,1),(40,1),(73,1),(104,1)}
        59:{1,3,6}:{(40,1),(41,1),(47,1),(80,1)}
        60:{2,3,6}:{(40,1),(42,1),(69,1),(80,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(43,1),(76,1),(80,1)}
        62:{1,2,3,7}:{(43,1),(77,1),(104,1)}
        63:{3,5,7}:{(44,1),(45,1),(46,1),(81,1)}
        64:{1,5,6}:{(45,1),(47,1),(81,1)}
        65:{1,4,6,7}:{(46,1),(47,1),(78,1),(81,1),(95,1)}
        66:{1,4,5,7}:{(48,1),(49,1),(82,1)}
        67:{3,5,6}:{(48,1),(50,1),(82,1),(83,1)}
        68:{3,4,6,7}:{(49,1),(50,1),(58,1),(82,1),(84,1),(85,1)}
        69:{2,4,6}:{(50,1),(51,1),(60,1),(83,1)}
        70:{3,4,6}:{(52,1),(54,1),(85,1),(86,1),(87,1),(102,1)}
        71:{1,4,5}:{(52,1),(55,1),(86,1)}
        72:{2,4,5}:{(52,1),(56,1),(87,1)}
        73:{3,5,7}:{(53,1),(54,1),(58,1),(85,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(59,1),(64,1),(86,1),(89,1),(91,1),(102,1)}
        75:{2,3,5,6}:{(54,1),(56,1),(60,1),(83,1),(87,1),(90,1),(91,1),(102,1)}
        76:{1,2,5}:{(55,1),(56,1),(57,1)}
        77:{1,2,3,6}:{(57,1),(62,1),(92,1),(102,1)}
        78:{1,3,6,7}:{(58,1),(59,1),(65,1),(89,1),(93,1)}
        79:{2,3,6,7}:{(58,1),(60,1),(84,1),(90,1),(93,1)}
        80:{1,2,6}:{(59,1),(60,1),(61,1)}
        81:{1,5,7}:{(63,1),(64,1),(65,1)}
        82:{3,5,7}:{(66,1),(67,1),(68,1),(94,1)}
        83:{2,5,6}:{(67,1),(69,1),(94,1)}
        84:{2,4,6,7}:{(68,1),(69,1),(79,1),(94,1),(96,1)}
        85:{3,4,7}:{(70,1),(73,1),(95,1),(96,1),(104,1)}
        86:{1,4,6}:{(70,1),(71,1),(74,1),(95,1)}
        87:{2,4,6}:{(70,1),(72,1),(75,1),(96,1)}
        88:{1,2,4,5}:{(71,1),(72,1),(76,1),(97,1),(98,1),(100,1)}
        89:{1,3,5,7}:{(73,1),(74,1),(78,1),(81,1),(95,1),(99,1),(104,1)}
        90:{2,3,5,7}:{(73,1),(75,1),(79,1),(94,1),(96,1),(99,1),(104,1)}
        91:{1,2,5,6}:{(74,1),(75,1),(76,1),(80,1),(97,1),(99,1)}
        92:{1,2,3,5}:{(76,1),(77,1),(98,1),(100,1)}
        93:{1,2,6,7}:{(78,1),(79,1),(80,1),(99,1)}
        94:{2,5,7}:{(82,1),(83,1),(84,1)}
        95:{1,4,7}:{(85,1),(86,1),(89,1)}
        96:{2,4,7}:{(85,1),(87,1),(90,1)}
        97:{1,2,4,6}:{(86,1),(87,1),(88,1),(91,1),(101,1),(102,1)}
        98:{3,5}:{(88,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(89,1),(90,1),(91,1),(93,1),(101,1)}
       100:{1,2,4}:{(92,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1621 :   0:{2,3,4,6,7}:{(1,1),(2,1),(9,1),(27,1),(29,1),(31,1),(56,1),(59,1),(78,1),(81,1),(113,1)}
         1:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(17,1),(19,1),(40,1),(73,1),(94,1),(98,1)}
         2:{2,3,5,7}:{(0,1),(3,1),(5,1),(6,1),(20,1),(35,1),(75,1),(93,1)}
         3:{2,3,5,6}:{(2,1),(8,1),(9,1),(24,1),(29,1)}
         4:{1,3,6,7}:{(1,1),(10,1),(29,1),(109,1),(113,1)}
         5:{1,2,5,7}:{(1,1),(2,1),(8,1),(10,1),(49,1),(108,1)}
         6:{2,4,5,7}:{(2,1),(9,1),(12,1),(81,1),(84,1)}
         7:{2,3,5,6,7}:{(3,1),(14,1),(15,1),(35,1),(39,1),(64,1),(125,1)}
         8:{1,2,5,6}:{(3,1),(5,1),(16,1),(17,1),(37,1),(75,1)}
         9:{2,4,6}:{(3,1),(6,1),(18,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(16,1),(19,1),(20,1),(121,1)}
        11:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(19,1),(20,1),(21,1),(41,1),(46,1),(47,1),(75,1),(98,1),(99,1)}
        12:{3,4,5,7}:{(6,1),(18,1),(20,1),(21,1),(35,1),(62,1),(65,1)}
        13:{2,4,5,6}:{(9,1),(22,1),(24,1)}
        14:{1,2,5,6,7}:{(7,1),(8,1),(25,1),(26,1),(49,1),(82,1),(88,1),(115,1)}
        15:{2,4,6,7}:{(7,1),(9,1),(22,1),(27,1),(81,1),(132,1)}
        16:{1,3,5,6}:{(8,1),(10,1),(28,1),(29,1),(57,1)}
        17:{1,2,4,6}:{(8,1),(9,1),(11,1),(28,1),(29,1),(30,1),(59,1),(60,1)}
        18:{3,4,6}:{(9,1),(12,1),(24,1),(29,1),(30,1)}
        19:{1,4,7}:{(10,1),(28,1),(31,1),(129,1)}
        20:{3,5,7}:{(11,1),(29,1),(31,1),(57,1),(113,1),(114,1)}
        21:{1,4,5,7}:{(12,1),(30,1),(32,1),(49,1),(80,1),(83,1)}
        22:{2,4,5,7}:{(13,1),(15,1),(35,1),(136,1)}
        23:{1,2,4,5,6}:{(13,1),(17,1),(34,1),(36,1),(37,1),(41,1),(66,1),(67,1),(68,1),(69,1),(75,1),(99,1),(102,1),(122,1),(136,1),(139,1)}
        24:{3,5,6}:{(13,1),(18,1),(35,1),(37,1)}
        25:{1,3,5,6,7}:{(14,1),(16,1),(38,1),(39,1),(63,1),(70,1),(101,1)}
        26:{1,2,4,6,7}:{(14,1),(15,1),(17,1),(34,1),(38,1),(39,1),(40,1),(72,1),(73,1),(98,1),(122,1)}
        27:{3,4,6,7}:{(15,1),(18,1),(35,1),(39,1),(40,1),(62,1),(135,1)}
        28:{1,4,6}:{(16,1),(19,1),(41,1),(42,1)}
        29:{3,6}:{(17,1),(20,1)}
        30:{1,4,6}:{(18,1),(21,1),(37,1),(43,1)}
        31:{3,4,7}:{(19,1),(20,1),(42,1),(46,1),(124,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(47,1),(74,1)}
        33:{2,3,5,7}:{(20,1),(44,1),(46,1),(47,1),(75,1),(77,1),(105,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(26,1),(48,1),(49,1),(53,1),(80,1),(81,1),(82,1),(88,1)}
        35:{3,5,7}:{(22,1),(24,1),(27,1),(49,1),(138,1)}
        36:{3,5,6}:{(23,1),(29,1),(48,1),(50,1),(57,1),(114,1),(130,1),(138,1)}
        37:{1,5,6}:{(24,1),(30,1),(49,1)}
        38:{1,4,6,7}:{(25,1),(28,1),(53,1),(54,1),(80,1),(110,1)}
        39:{3,6,7}:{(26,1),(29,1),(48,1),(113,1),(130,1)}
        40:{1,4,6,7}:{(27,1),(30,1),(49,1),(55,1),(80,1),(137,1)}
        41:{1,4,5}:{(28,1),(57,1)}
        42:{3,4,6}:{(28,1),(29,1),(31,1),(57,1),(59,1)}
        43:{1,3,6}:{(29,1),(30,1),(32,1),(60,1)}
        44:{2,3,6}:{(29,1),(33,1),(59,1),(60,1)}
        45:{1,3,4,7}:{(31,1),(32,1),(58,1),(61,1),(80,1),(113,1)}
        46:{2,4,7}:{(31,1),(33,1),(59,1),(117,1)}
        47:{1,2,5,7}:{(32,1),(33,1),(60,1),(61,1),(90,1)}
        48:{3,5,7}:{(34,1),(36,1),(39,1),(62,1)}
        49:{1,5,7}:{(35,1),(37,1),(40,1),(139,1)}
        50:{3,4,6}:{(36,1),(62,1),(65,1),(66,1),(67,1),(100,1),(124,1)}
        51:{1,3,5,6}:{(36,1),(37,1),(43,1),(63,1),(66,1),(68,1),(74,1),(100,1),(121,1),(133,1),(139,1)}
        52:{2,3,5,6}:{(36,1),(44,1),(64,1),(67,1),(68,1),(75,1),(93,1),(100,1),(102,1),(105,1),(118,1)}
        53:{1,4,5,7}:{(38,1),(41,1),(69,1),(70,1)}
        54:{3,4,6,7}:{(38,1),(39,1),(42,1),(62,1),(70,1),(72,1),(95,1)}
        55:{1,3,6,7}:{(39,1),(40,1),(43,1),(63,1),(73,1),(133,1)}
        56:{2,3,6,7}:{(39,1),(44,1),(64,1),(72,1),(73,1),(118,1)}
        57:{3,5}:{(41,1),(42,1),(75,1)}
        58:{1,3,4,6}:{(42,1),(43,1),(45,1),(66,1),(74,1),(76,1),(100,1),(124,1)}
        59:{2,4,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{1,2,6}:{(43,1),(44,1),(47,1)}
        61:{1,2,4,7}:{(45,1),(46,1),(47,1),(76,1),(77,1)}
        62:{3,4,7}:{(48,1),(50,1),(80,1),(81,1),(113,1)}
        63:{1,3,5,7}:{(48,1),(49,1),(51,1),(55,1),(80,1),(82,1),(113,1)}
        64:{2,3,5,7}:{(48,1),(52,1),(56,1),(81,1),(82,1),(88,1),(113,1)}
        65:{3,4,5}:{(50,1),(57,1),(83,1),(84,1),(114,1),(138,1)}
        66:{1,4,6}:{(50,1),(51,1),(80,1),(83,1),(129,1)}
        67:{2,4,6}:{(50,1),(52,1),(81,1),(84,1),(117,1)}
        68:{1,2,5,6}:{(51,1),(52,1),(60,1),(82,1),(85,1),(90,1),(108,1),(127,1)}
        69:{1,4,5,6}:{(53,1),(86,1),(110,1)}
        70:{3,5,7}:{(53,1),(54,1),(57,1),(86,1),(88,1)}
        71:{1,3,4,6,7}:{(54,1),(55,1),(58,1),(80,1),(87,1),(89,1),(110,1),(113,1),(130,1),(131,1),(137,1)}
        72:{2,4,6,7}:{(54,1),(56,1),(59,1),(81,1),(88,1),(111,1)}
        73:{1,2,6,7}:{(55,1),(56,1),(60,1),(82,1),(127,1)}
        74:{1,3,5}:{(57,1),(58,1),(83,1),(90,1),(114,1)}
        75:{2,5}:{(57,1),(59,1)}
        76:{1,2,4,6}:{(58,1),(59,1),(60,1),(61,1),(90,1),(91,1),(117,1)}
        77:{2,3,7}:{(61,1),(91,1),(113,1)}
        78:{2,3,4,6}:{(67,1),(92,1),(93,1),(94,1),(100,1),(118,1),(124,1),(135,1)}
        79:{3,4,5,7}:{(62,1),(65,1),(70,1),(95,1),(96,1),(97,1),(123,1)}
        80:{1,4,7}:{(62,1),(63,1),(66,1)}
        81:{2,4,7}:{(62,1),(64,1),(67,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(68,1),(73,1),(98,1)}
        83:{1,4,5}:{(65,1),(66,1),(74,1),(139,1)}
        84:{2,4,5}:{(65,1),(67,1),(75,1),(93,1)}
        85:{1,2,4,6}:{(66,1),(67,1),(68,1),(98,1),(99,1),(100,1)}
        86:{3,5,6}:{(69,1),(70,1),(95,1),(102,1)}
        87:{1,3,5,7}:{(70,1),(71,1),(74,1),(96,1),(101,1),(103,1),(123,1),(139,1)}
        88:{2,5,7}:{(70,1),(72,1),(75,1),(102,1)}
        89:{1,2,4,6,7}:{(71,1),(72,1),(73,1),(76,1),(98,1),(103,1),(104,1),(122,1),(126,1)}
        90:{1,2,5}:{(74,1),(75,1),(76,1),(105,1)}
        91:{2,3,6}:{(76,1),(77,1),(100,1),(105,1)}
        92:{2,3,4,7}:{(78,1),(81,1),(106,1),(107,1),(113,1),(131,1)}
        93:{2,3,5}:{(78,1),(84,1),(108,1),(114,1),(138,1)}
        94:{1,2,4,6}:{(78,1),(107,1),(108,1),(109,1),(127,1),(129,1),(137,1)}
        95:{3,4,6}:{(79,1),(86,1),(110,1),(111,1),(130,1)}
        96:{1,4,5,7}:{(79,1),(80,1),(83,1),(87,1),(110,1)}
        97:{2,4,5,7}:{(79,1),(81,1),(84,1),(88,1),(106,1),(111,1)}
        98:{1,2,4,7}:{(80,1),(81,1),(82,1),(85,1),(113,1)}
        99:{1,2,4,5}:{(83,1),(84,1),(85,1),(90,1),(108,1),(114,1),(117,1),(129,1)}
       100:{3,6}:{(85,1),(113,1),(114,1)}
       101:{1,3,5,6}:{(86,1),(87,1),(110,1),(115,1),(130,1)}
       102:{2,5,6}:{(86,1),(88,1),(111,1)}
       103:{1,2,5,7}:{(87,1),(88,1),(89,1),(90,1),(115,1),(116,1)}
       104:{2,3,6,7}:{(89,1),(91,1),(113,1),(116,1),(130,1)}
       105:{2,3,5}:{(90,1),(91,1),(114,1),(117,1)}
       106:{2,3,5,7}:{(92,1),(93,1),(97,1),(118,1),(119,1),(123,1)}
       107:{1,2,4,7}:{(92,1),(94,1),(119,1),(120,1),(134,1)}
       108:{1,2,5}:{(93,1),(94,1),(121,1),(139,1)}
       109:{1,3,6}:{(94,1),(100,1),(120,1),(121,1)}
       110:{1,4,6}:{(95,1),(96,1),(101,1)}
       111:{2,4,6}:{(95,1),(97,1),(102,1),(118,1)}
       112:{1,2,4,5,7}:{(96,1),(97,1),(98,1),(99,1),(103,1),(119,1),(122,1),(123,1),(126,1),(134,1),(136,1),(139,1)}
       113:{3,7}:{(98,1),(100,1)}
       114:{3,5}:{(99,1),(100,1),(124,1)}
       115:{1,2,5,6}:{(101,1),(102,1),(103,1),(122,1),(125,1),(139,1)}
       116:{2,3,5,7}:{(103,1),(104,1),(105,1),(123,1),(125,1),(126,1)}
       117:{2,4}:{(105,1),(124,1)}
       118:{2,3,6}:{(106,1),(111,1),(127,1),(130,1)}
       119:{1,2,5,7}:{(106,1),(107,1),(108,1),(127,1),(128,1)}
       120:{1,3,7}:{(107,1),(109,1),(113,1)}
       121:{1,3,5}:{(108,1),(109,1),(114,1),(129,1)}
       122:{1,2,4,6}:{(110,1),(111,1),(112,1),(115,1),(127,1),(130,1),(132,1),(137,1)}
       123:{3,5,7}:{(112,1),(113,1),(114,1),(130,1),(131,1),(138,1)}
       124:{3,4}:{(114,1),(117,1),(129,1)}
       125:{2,3,5,6}:{(115,1),(116,1),(130,1),(132,1),(138,1)}
       126:{2,4,7}:{(116,1),(117,1),(131,1),(132,1)}
       127:{1,2,6}:{(118,1),(119,1),(133,1)}
       128:{1,3,5,7}:{(119,1),(120,1),(121,1),(123,1),(133,1),(134,1),(139,1)}
       129:{1,4}:{(121,1),(124,1)}
       130:{3,6}:{(122,1),(123,1)}
       131:{3,4,7}:{(123,1),(124,1),(126,1),(134,1),(135,1)}
       132:{2,4,6}:{(125,1),(126,1),(135,1),(136,1)}
       133:{1,3,6}:{(127,1),(128,1),(130,1),(137,1)}
       134:{1,4,7}:{(128,1),(129,1),(131,1),(137,1)}
       135:{3,4,6}:{(130,1),(131,1),(132,1),(137,1),(138,1)}
       136:{2,4,5}:{(132,1),(138,1)}
       137:{1,4,6}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,5}:{(135,1),(136,1),(139,1)}
       139:{1,5}:{(137,1),(138,1)}

1622 :   0:{1,2,3,6}:{(3,1),(5,1),(6,1),(81,1),(88,1)}
         1:{2,3,4,6}:{(6,1),(7,1),(8,1),(31,1),(36,1),(45,1),(86,1),(88,1)}
         2:{2,4,5,6}:{(9,1),(10,1),(36,1),(92,1),(96,1)}
         3:{1,2,3,5}:{(0,1),(11,1),(14,1),(21,1),(53,1),(58,1)}
         4:{3,4,5}:{(15,1),(16,1),(18,1),(58,1)}
         5:{1,2,3,7}:{(0,1),(20,1),(112,1),(120,1),(163,1)}
         6:{1,2,4,6}:{(0,1),(1,1),(14,1),(19,1),(20,1),(21,1),(71,1)}
         7:{2,3,4,7}:{(1,1),(20,1),(22,1),(57,1),(63,1),(120,1),(164,1)}
         8:{2,3,5}:{(1,1),(15,1),(21,1),(58,1),(118,1)}
         9:{3,5,6}:{(2,1),(18,1),(24,1),(25,1)}
        10:{2,4,5,7}:{(2,1),(25,1),(26,1),(63,1),(123,1),(126,1)}
        11:{1,2,3}:{(28,1)}
        12:{1,3,4}:{(28,1),(30,1),(31,1)}
        13:{1,2,3,5,7}:{(3,1),(5,1),(27,1),(32,1),(33,1),(43,1),(78,1),(80,1),(87,1),(89,1)}
        14:{1,2,4}:{(3,1),(31,1)}
        15:{2,4,5}:{(4,1),(8,1),(36,1),(147,1)}
        16:{1,4,5}:{(4,1),(30,1),(38,1)}
        17:{3,4,5,7}:{(4,1),(35,1),(37,1),(39,1),(40,1),(87,1),(97,1),(141,1),(147,1),(194,1),(198,1)}
        18:{3,4,6}:{(4,1),(9,1),(36,1),(38,1),(40,1),(88,1)}
        19:{1,3,4,6}:{(6,1),(31,1),(41,1),(42,1),(86,1),(88,1),(99,1),(100,1)}
        20:{1,2,4,7}:{(5,1),(6,1),(7,1),(41,1),(43,1),(188,1)}
        21:{1,2,5}:{(6,1),(8,1),(42,1)}
        22:{2,3,5,7}:{(7,1),(8,1),(35,1),(43,1),(45,1),(87,1),(189,1),(220,1)}
        23:{2,3,5,6}:{(8,1),(9,1),(36,1),(44,1),(45,1),(46,1),(88,1),(92,1),(148,1)}
        24:{1,5,6}:{(9,1),(38,1),(47,1)}
        25:{3,5,7}:{(9,1),(10,1),(40,1),(47,1),(48,1)}
        26:{2,4,6,7}:{(10,1),(48,1),(49,1),(104,1)}
        27:{1,2,3,7}:{(11,1),(51,1),(52,1),(210,1),(227,1)}
        28:{1,2,4}:{(11,1),(12,1),(50,1),(53,1)}
        29:{1,3,4,7}:{(12,1),(52,1),(54,1),(55,1),(57,1),(171,1),(210,1)}
        30:{1,3,5}:{(12,1),(16,1),(53,1),(56,1),(58,1)}
        31:{3,4}:{(14,1),(58,1)}
        32:{1,2,3,6}:{(13,1),(59,1),(71,1),(111,1),(119,1)}
        33:{1,2,4,7}:{(13,1),(14,1),(57,1),(59,1),(109,1)}
        34:{1,2,4,5}:{(14,1),(15,1),(16,1),(21,1),(53,1),(58,1),(61,1),(68,1),(105,1)}
        35:{2,4,5,7}:{(15,1),(17,1),(22,1),(62,1),(63,1),(123,1),(169,1),(211,1)}
        36:{2,4,6}:{(15,1),(18,1),(23,1),(63,1),(175,1)}
        37:{1,4,5,7}:{(16,1),(17,1),(55,1),(64,1),(65,1),(113,1),(125,1),(171,1)}
        38:{1,4,6}:{(16,1),(18,1),(24,1),(56,1),(65,1)}
        39:{3,4,6}:{(17,1),(62,1),(64,1),(66,1),(119,1),(175,1)}
        40:{3,4,7}:{(18,1),(25,1),(63,1),(65,1),(120,1)}
        41:{1,3,4,7}:{(19,1),(20,1),(57,1),(69,1),(120,1),(129,1),(165,1)}
        42:{1,3,5}:{(19,1),(21,1),(58,1),(68,1),(118,1)}
        43:{1,2,5,7}:{(20,1),(21,1),(22,1),(69,1),(71,1),(207,1),(227,1)}
        44:{1,2,5,6}:{(21,1),(23,1),(24,1),(61,1),(70,1),(71,1),(72,1),(157,1)}
        45:{2,3,6}:{(22,1),(62,1),(71,1),(119,1)}
        46:{2,3,5,7}:{(23,1),(25,1),(63,1),(72,1),(73,1),(120,1),(123,1),(176,1)}
        47:{1,5,7}:{(24,1),(25,1),(65,1),(74,1)}
        48:{3,6,7}:{(25,1),(26,1),(74,1)}
        49:{2,5,6,7}:{(26,1),(75,1),(123,1),(181,1)}
        50:{2,3,4}:{(28,1),(31,1),(77,1)}
        51:{1,2,3,6}:{(27,1),(78,1),(79,1),(191,1),(219,1)}
        52:{1,2,4,7}:{(27,1),(28,1),(29,1),(76,1),(79,1),(80,1)}
        53:{1,2,5}:{(28,1),(30,1),(77,1),(81,1)}
        54:{1,3,4,6}:{(29,1),(79,1),(82,1),(83,1),(86,1),(137,1),(142,1),(191,1)}
        55:{1,3,5,7}:{(29,1),(30,1),(37,1),(80,1),(82,1),(83,1),(84,1),(87,1)}
        56:{1,3,6}:{(30,1),(38,1),(81,1),(84,1),(88,1)}
        57:{3,4,7}:{(31,1),(33,1),(86,1),(87,1),(137,1),(198,1)}
        58:{3,5}:{(31,1),(34,1),(88,1)}
        59:{1,2,4,6}:{(32,1),(33,1),(86,1),(89,1)}
        60:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(37,1),(43,1),(80,1),(87,1),(89,1),(90,1),(91,1),(98,1),(132,1),(138,1),(147,1),(150,1),(192,1),(198,1)}
        61:{1,2,4,6}:{(34,1),(36,1),(38,1),(44,1),(81,1),(88,1),(91,1),(99,1),(133,1)}
        62:{2,4,6}:{(35,1),(39,1),(45,1),(92,1)}
        63:{2,4,7}:{(36,1),(40,1),(46,1),(198,1)}
        64:{1,4,6}:{(37,1),(39,1),(83,1),(94,1)}
        65:{1,4,7}:{(38,1),(40,1),(47,1),(84,1)}
        66:{3,5,6}:{(39,1),(92,1),(94,1),(96,1),(97,1)}
        67:{3,4,6,7}:{(39,1),(40,1),(48,1),(93,1),(95,1),(97,1),(104,1),(149,1),(156,1),(194,1),(198,1)}
        68:{1,4,5}:{(42,1),(85,1),(99,1),(147,1)}
        69:{1,3,5,7}:{(41,1),(42,1),(43,1),(87,1),(98,1),(100,1),(190,1),(221,1)}
        70:{1,3,5,6}:{(42,1),(44,1),(88,1),(99,1),(100,1),(101,1),(144,1),(148,1),(154,1)}
        71:{1,2,6}:{(43,1),(45,1),(100,1)}
        72:{1,2,5,7}:{(44,1),(46,1),(47,1),(91,1),(101,1),(102,1),(182,1)}
        73:{2,3,6,7}:{(45,1),(46,1),(48,1),(93,1),(102,1),(149,1),(220,1)}
        74:{1,6,7}:{(47,1),(48,1)}
        75:{3,5,6,7}:{(48,1),(49,1),(97,1),(103,1),(104,1),(156,1)}
        76:{2,3,4,7}:{(50,1),(52,1),(57,1),(106,1),(107,1),(206,1),(210,1)}
        77:{2,3,5}:{(50,1),(53,1),(58,1),(105,1),(108,1)}
        78:{1,2,3,5}:{(51,1),(109,1),(110,1),(163,1),(166,1),(207,1)}
        79:{1,2,4,6}:{(51,1),(52,1),(54,1),(106,1),(109,1),(110,1),(111,1)}
        80:{1,2,5,7}:{(52,1),(53,1),(55,1),(107,1),(110,1),(111,1),(112,1)}
        81:{1,2,6}:{(53,1),(56,1),(108,1),(112,1)}
        82:{1,3,5}:{(54,1),(110,1),(113,1),(118,1),(166,1)}
        83:{1,3,6}:{(55,1),(64,1),(111,1),(119,1)}
        84:{1,3,7}:{(56,1),(65,1),(112,1),(120,1)}
        85:{3,4,5}:{(58,1),(68,1),(105,1),(117,1)}
        86:{3,4,6}:{(57,1),(59,1),(118,1),(119,1),(175,1)}
        87:{3,5,7}:{(57,1),(58,1),(60,1),(118,1),(119,1),(120,1),(166,1),(210,1)}
        88:{3,6}:{(58,1),(61,1),(120,1)}
        89:{1,2,5}:{(59,1),(118,1)}
        90:{1,2,4,6}:{(60,1),(62,1),(64,1),(71,1),(111,1),(119,1),(121,1),(128,1),(158,1),(175,1)}
        91:{1,2,4,7}:{(61,1),(63,1),(65,1),(72,1),(112,1),(120,1),(129,1),(159,1)}
        92:{2,5,6}:{(62,1),(66,1),(123,1)}
        93:{2,4,6,7}:{(62,1),(63,1),(67,1),(73,1),(123,1),(181,1),(211,1)}
        94:{1,5,6}:{(64,1),(66,1),(125,1)}
        95:{1,4,6,7}:{(64,1),(65,1),(67,1),(74,1),(115,1),(125,1),(171,1)}
        96:{4,5,6}:{(66,1),(126,1),(175,1)}
        97:{3,5,7}:{(66,1),(67,1),(123,1),(125,1),(126,1)}
        98:{1,4,5,7}:{(68,1),(69,1),(116,1),(128,1),(129,1),(180,1),(204,1),(226,1)}
        99:{1,4,6}:{(68,1),(70,1),(117,1),(129,1),(175,1)}
       100:{1,3,6}:{(69,1),(71,1),(119,1),(128,1)}
       101:{1,3,5,7}:{(70,1),(72,1),(120,1),(129,1),(130,1),(172,1),(176,1),(180,1)}
       102:{1,2,6,7}:{(71,1),(72,1),(73,1),(74,1),(130,1),(201,1),(227,1)}
       103:{1,5,6,7}:{(74,1),(75,1),(125,1),(131,1)}
       104:{4,6,7}:{(75,1),(126,1)}
       105:{2,4,5}:{(77,1),(85,1),(133,1)}
       106:{2,3,4,6}:{(76,1),(79,1),(86,1),(134,1),(135,1),(137,1),(186,1),(191,1)}
       107:{2,3,5,7}:{(76,1),(77,1),(80,1),(87,1),(132,1),(134,1),(135,1),(136,1)}
       108:{2,3,6}:{(77,1),(81,1),(88,1),(133,1),(136,1)}
       109:{1,2,4}:{(78,1),(137,1)}
       110:{1,2,5}:{(79,1),(82,1),(134,1)}
       111:{1,2,6}:{(80,1),(83,1),(135,1)}
       112:{1,2,7}:{(81,1),(84,1),(136,1)}
       113:{1,4,5}:{(82,1),(141,1),(142,1),(147,1)}
       114:{1,3,5,6}:{(82,1),(83,1),(94,1),(139,1),(142,1),(143,1),(148,1),(151,1),(191,1)}
       115:{1,3,6,7}:{(83,1),(84,1),(95,1),(140,1),(143,1),(149,1),(156,1)}
       116:{3,4,5,7}:{(85,1),(87,1),(98,1),(132,1),(145,1),(146,1),(147,1),(185,1),(197,1),(198,1),(218,1)}
       117:{3,4,6}:{(85,1),(88,1),(99,1),(133,1),(144,1),(146,1)}
       118:{3,5}:{(86,1),(89,1),(147,1)}
       119:{3,6}:{(87,1),(90,1)}
       120:{3,7}:{(88,1),(91,1)}
       121:{1,2,5,6}:{(89,1),(90,1),(92,1),(94,1),(148,1),(150,1),(154,1),(183,1)}
       122:{1,2,4,6,7}:{(90,1),(91,1),(93,1),(95,1),(102,1),(140,1),(149,1),(150,1),(155,1),(184,1),(192,1),(198,1)}
       123:{2,5,7}:{(92,1),(93,1),(97,1)}
       124:{1,4,5,6}:{(94,1),(96,1),(142,1),(151,1),(152,1)}
       125:{1,5,7}:{(94,1),(95,1),(97,1)}
       126:{4,5,7}:{(96,1),(97,1),(104,1),(198,1)}
       127:{1,4,5,6}:{(99,1),(144,1),(153,1),(154,1),(196,1)}
       128:{1,4,6}:{(98,1),(100,1),(145,1),(154,1)}
       129:{1,4,7}:{(99,1),(101,1),(146,1),(198,1)}
       130:{1,3,6,7}:{(100,1),(101,1),(102,1),(149,1),(155,1),(195,1),(221,1)}
       131:{1,4,6,7}:{(103,1),(104,1),(152,1),(156,1)}
       132:{2,4,5,7}:{(105,1),(107,1),(116,1),(158,1),(159,1),(160,1),(203,1),(206,1)}
       133:{2,4,6}:{(105,1),(108,1),(117,1),(157,1),(159,1)}
       134:{2,3,5}:{(106,1),(110,1),(118,1),(160,1),(166,1)}
       135:{2,3,6}:{(107,1),(111,1),(119,1),(158,1)}
       136:{2,3,7}:{(108,1),(112,1),(120,1),(159,1)}
       137:{3,4}:{(109,1),(166,1)}
       138:{1,2,4,5}:{(109,1),(110,1),(113,1),(160,1),(166,1),(167,1),(169,1),(204,1),(207,1)}
       139:{1,2,5,6}:{(110,1),(111,1),(114,1),(161,1),(167,1),(168,1),(177,1),(224,1)}
       140:{1,2,6,7}:{(111,1),(112,1),(115,1),(162,1),(168,1),(181,1),(230,1)}
       141:{3,4,5}:{(113,1),(166,1),(169,1),(170,1)}
       142:{1,4,6}:{(113,1),(114,1),(170,1),(171,1),(175,1)}
       143:{1,3,5,7}:{(114,1),(115,1),(125,1),(168,1),(171,1),(176,1),(178,1),(210,1)}
       144:{3,5,6}:{(117,1),(127,1),(157,1),(172,1)}
       145:{3,4,6}:{(116,1),(119,1),(128,1),(158,1),(173,1),(175,1)}
       146:{3,4,7}:{(117,1),(120,1),(129,1),(159,1),(172,1)}
       147:{4,5}:{(118,1),(175,1)}
       148:{3,5,6}:{(118,1),(119,1),(121,1),(175,1),(176,1)}
       149:{3,6,7}:{(119,1),(120,1),(122,1),(176,1),(210,1)}
       150:{1,2,5,7}:{(121,1),(122,1),(123,1),(125,1),(176,1),(180,1),(203,1)}
       151:{3,5,6}:{(124,1),(170,1),(177,1),(178,1)}
       152:{1,4,5,7}:{(124,1),(125,1),(126,1),(131,1),(171,1),(178,1)}
       153:{1,4,5,7}:{(127,1),(129,1),(172,1),(179,1),(180,1),(213,1)}
       154:{1,5,6}:{(128,1),(173,1),(180,1)}
       155:{1,4,6,7}:{(128,1),(129,1),(130,1),(174,1),(180,1),(226,1),(230,1)}
       156:{3,6,7}:{(131,1),(178,1),(181,1)}
       157:{2,5,6}:{(133,1),(144,1),(182,1)}
       158:{2,4,6}:{(132,1),(135,1),(145,1),(183,1)}
       159:{2,4,7}:{(133,1),(136,1),(146,1),(182,1)}
       160:{2,4,5}:{(134,1),(147,1),(185,1),(186,1)}
       161:{2,3,5,6}:{(134,1),(135,1),(139,1),(148,1),(183,1),(186,1),(187,1),(191,1),(215,1)}
       162:{2,3,6,7}:{(135,1),(136,1),(140,1),(149,1),(184,1),(187,1),(228,1)}
       163:{1,2,3}:{(188,1)}
       164:{2,3,4}:{(137,1),(188,1),(189,1)}
       165:{1,3,4}:{(137,1),(188,1),(190,1)}
       166:{3,5}:{(137,1),(138,1),(191,1)}
       167:{1,2,4,6}:{(138,1),(139,1),(142,1),(186,1),(191,1),(192,1),(193,1),(217,1),(219,1)}
       168:{1,2,5,7}:{(139,1),(140,1),(143,1),(187,1),(192,1),(199,1),(229,1)}
       169:{2,4,5}:{(141,1),(189,1),(193,1)}
       170:{3,4,6}:{(141,1),(142,1),(151,1),(191,1),(193,1),(194,1)}
       171:{1,4,7}:{(142,1),(143,1),(194,1),(198,1)}
       172:{3,5,7}:{(144,1),(146,1),(153,1),(182,1),(195,1)}
       173:{3,5,6}:{(145,1),(154,1),(183,1),(196,1),(197,1)}
       174:{3,4,6,7}:{(145,1),(146,1),(149,1),(155,1),(184,1),(195,1),(197,1),(198,1),(218,1),(222,1),(228,1)}
       175:{4,6}:{(147,1),(148,1),(198,1)}
       176:{3,5,7}:{(148,1),(149,1),(150,1),(198,1)}
       177:{2,5,6}:{(151,1),(193,1),(199,1)}
       178:{3,5,7}:{(151,1),(152,1),(156,1),(194,1),(199,1)}
       179:{1,4,6,7}:{(153,1),(195,1),(200,1),(222,1)}
       180:{1,5,7}:{(154,1),(155,1),(197,1)}
       181:{2,6,7}:{(156,1),(199,1)}
       182:{2,5,7}:{(157,1),(159,1),(172,1),(201,1)}
       183:{2,5,6}:{(158,1),(173,1),(203,1)}
       184:{2,4,6,7}:{(158,1),(159,1),(162,1),(174,1),(201,1),(203,1),(206,1)}
       185:{3,4,5}:{(160,1),(166,1),(204,1),(205,1)}
       186:{2,4,6}:{(160,1),(161,1),(175,1),(205,1),(206,1)}
       187:{2,3,5,7}:{(161,1),(162,1),(168,1),(176,1),(203,1),(206,1),(210,1),(225,1)}
       188:{1,2,4}:{(163,1),(164,1),(165,1),(207,1)}
       189:{2,3,5}:{(164,1),(166,1),(169,1),(207,1),(208,1)}
       190:{1,3,5}:{(165,1),(166,1),(204,1),(207,1),(209,1)}
       191:{3,6}:{(166,1),(167,1),(210,1)}
       192:{1,2,4,7}:{(167,1),(168,1),(171,1),(206,1),(210,1),(211,1),(226,1),(227,1)}
       193:{2,4,6}:{(169,1),(170,1),(177,1),(208,1),(211,1)}
       194:{3,4,7}:{(170,1),(171,1),(178,1),(210,1),(211,1)}
       195:{3,6,7}:{(172,1),(179,1),(201,1)}
       196:{4,5,6}:{(173,1),(175,1),(213,1)}
       197:{3,5,7}:{(173,1),(174,1),(180,1),(203,1),(213,1)}
       198:{4,7}:{(175,1),(176,1)}
       199:{2,5,7}:{(177,1),(178,1),(181,1),(211,1)}
       200:{1,5,6,7}:{(179,1),(180,1),(212,1),(230,1)}
       201:{2,6,7}:{(182,1),(195,1)}
       202:{2,4,5,6}:{(183,1),(186,1),(196,1),(215,1),(216,1)}
       203:{2,5,7}:{(183,1),(184,1),(197,1)}
       204:{1,4,5}:{(185,1),(190,1),(217,1)}
       205:{3,4,6}:{(185,1),(186,1),(191,1),(215,1),(217,1),(218,1)}
       206:{2,4,7}:{(186,1),(187,1),(198,1),(218,1)}
       207:{1,2,5}:{(188,1),(189,1),(190,1),(219,1)}
       208:{2,3,6}:{(189,1),(191,1),(193,1),(219,1),(220,1)}
       209:{1,3,6}:{(190,1),(191,1),(217,1),(219,1),(221,1)}
       210:{3,7}:{(191,1),(192,1)}
       211:{2,4,7}:{(193,1),(194,1),(199,1),(220,1)}
       212:{3,5,6,7}:{(195,1),(197,1),(200,1),(214,1),(222,1),(228,1)}
       213:{4,5,7}:{(196,1),(197,1),(198,1),(222,1)}
       214:{2,5,6,7}:{(201,1),(203,1),(212,1),(223,1)}
       215:{3,5,6}:{(202,1),(205,1),(224,1),(225,1)}
       216:{2,4,5,7}:{(202,1),(203,1),(206,1),(213,1),(223,1),(225,1)}
       217:{1,4,6}:{(204,1),(205,1),(209,1),(224,1),(226,1)}
       218:{3,4,7}:{(205,1),(206,1),(210,1),(225,1),(226,1)}
       219:{1,2,6}:{(207,1),(208,1),(209,1),(227,1)}
       220:{2,3,7}:{(208,1),(210,1),(211,1),(227,1)}
       221:{1,3,7}:{(209,1),(210,1),(226,1),(227,1)}
       222:{4,6,7}:{(212,1),(213,1)}
       223:{2,4,6,7}:{(214,1),(216,1),(222,1),(228,1)}
       224:{1,5,6}:{(215,1),(217,1),(229,1)}
       225:{3,5,7}:{(215,1),(216,1),(218,1),(228,1),(229,1)}
       226:{1,4,7}:{(217,1),(218,1),(221,1),(229,1)}
       227:{1,2,7}:{(219,1),(220,1),(221,1)}
       228:{3,6,7}:{(223,1),(225,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(226,1),(230,1)}
       230:{1,6,7}:{(228,1),(229,1)}

1623 :   0:{2,4,5,6}:{(5,1),(6,1),(27,1),(34,1),(83,1)}
         1:{2,3,4,6}:{(4,1),(7,1),(8,1),(34,1),(37,1),(89,1),(90,1),(138,1),(142,1)}
         2:{3,4,5}:{(12,1),(13,1),(14,1),(61,1)}
         3:{2,5,6,7}:{(10,1),(15,1),(106,1),(113,1)}
         4:{2,3,4,7}:{(1,1),(16,1),(17,1),(59,1),(96,1),(117,1),(118,1),(160,1)}
         5:{2,4,5,7}:{(0,1),(15,1),(18,1),(52,1),(59,1),(113,1)}
         6:{3,5,6}:{(0,1),(12,1),(18,1),(19,1)}
         7:{2,3,5}:{(1,1),(14,1),(21,1),(61,1),(161,1),(165,1)}
         8:{1,2,4,6}:{(1,1),(17,1),(21,1),(22,1),(64,1),(68,1),(121,1)}
         9:{1,3,4}:{(25,1),(26,1),(90,1)}
        10:{3,5,6,7}:{(3,1),(23,1),(28,1),(36,1),(74,1),(81,1)}
        11:{3,4,5,7}:{(2,1),(29,1),(30,1),(31,1),(32,1),(69,1),(81,1),(87,1),(126,1),(180,1),(181,1)}
        12:{3,4,6}:{(2,1),(6,1),(32,1),(33,1),(34,1),(89,1)}
        13:{1,4,5}:{(2,1),(25,1),(33,1)}
        14:{2,4,5}:{(2,1),(7,1),(34,1),(181,1)}
        15:{2,4,6,7}:{(3,1),(5,1),(28,1),(36,1)}
        16:{2,3,5,7}:{(4,1),(7,1),(31,1),(37,1),(38,1),(87,1),(124,1),(169,1),(179,1)}
        17:{1,2,4,7}:{(4,1),(8,1),(38,1),(39,1),(93,1),(125,1)}
        18:{3,5,7}:{(5,1),(6,1),(32,1),(36,1),(40,1)}
        19:{1,5,6}:{(6,1),(33,1),(40,1)}
        20:{2,3,5,6}:{(6,1),(7,1),(34,1),(37,1),(41,1),(42,1),(83,1),(89,1),(140,1)}
        21:{1,2,5}:{(7,1),(8,1),(43,1),(146,1)}
        22:{1,3,6}:{(8,1),(39,1),(43,1),(89,1)}
        23:{1,5,6,7}:{(10,1),(46,1),(62,1),(112,1)}
        24:{1,3,4,7}:{(9,1),(45,1),(47,1),(48,1),(117,1),(151,1),(188,1),(203,1)}
        25:{1,3,5}:{(9,1),(13,1),(49,1),(50,1),(61,1)}
        26:{1,2,4}:{(9,1),(50,1),(51,1),(111,1)}
        27:{4,5,6}:{(52,1),(53,1),(163,1)}
        28:{4,6,7}:{(10,1),(52,1)}
        29:{3,4,6}:{(11,1),(53,1),(55,1),(56,1),(116,1),(163,1)}
        30:{1,4,5,7}:{(11,1),(13,1),(47,1),(55,1),(58,1),(98,1),(112,1),(151,1)}
        31:{2,4,5,7}:{(11,1),(14,1),(16,1),(56,1),(59,1),(99,1),(113,1),(152,1)}
        32:{3,4,7}:{(12,1),(18,1),(58,1),(59,1),(118,1)}
        33:{1,4,6}:{(12,1),(13,1),(19,1),(49,1),(58,1)}
        34:{2,4,6}:{(12,1),(14,1),(20,1),(59,1),(163,1)}
        35:{1,2,4,5}:{(13,1),(14,1),(21,1),(50,1),(60,1),(61,1),(68,1),(111,1),(123,1),(161,1)}
        36:{3,6,7}:{(15,1),(18,1),(62,1)}
        37:{2,3,6}:{(16,1),(56,1),(64,1),(116,1),(193,1)}
        38:{1,2,5,7}:{(16,1),(17,1),(21,1),(64,1),(65,1),(149,1),(185,1)}
        39:{1,3,7}:{(17,1),(22,1),(118,1),(150,1)}
        40:{1,5,7}:{(18,1),(19,1),(58,1),(62,1)}
        41:{2,3,5,7}:{(18,1),(20,1),(59,1),(63,1),(66,1),(113,1),(118,1),(162,1)}
        42:{1,2,5,6}:{(19,1),(20,1),(21,1),(60,1),(64,1),(66,1),(67,1),(161,1),(193,1)}
        43:{1,3,5}:{(21,1),(22,1),(61,1),(68,1)}
        44:{1,4,5,6}:{(27,1),(70,1),(71,1),(82,1),(127,1)}
        45:{1,3,4,6}:{(24,1),(72,1),(73,1),(75,1),(127,1),(142,1),(173,1),(174,1),(197,1)}
        46:{1,4,6,7}:{(23,1),(28,1),(70,1),(74,1)}
        47:{1,3,5,7}:{(24,1),(25,1),(30,1),(72,1),(75,1),(76,1),(78,1),(87,1),(207,1)}
        48:{1,2,4,7}:{(24,1),(26,1),(73,1),(76,1),(77,1),(136,1)}
        49:{1,3,6}:{(25,1),(33,1),(78,1),(79,1),(89,1)}
        50:{1,2,5}:{(25,1),(26,1),(79,1),(80,1)}
        51:{2,3}:{(26,1)}
        52:{4,5,7}:{(27,1),(28,1),(81,1),(180,1)}
        53:{3,5,6}:{(27,1),(29,1),(81,1),(82,1),(83,1)}
        54:{3,4,6,7}:{(28,1),(29,1),(32,1),(36,1),(74,1),(81,1),(84,1),(85,1),(126,1),(141,1),(180,1)}
        55:{1,4,6}:{(29,1),(30,1),(75,1),(82,1)}
        56:{2,4,6}:{(29,1),(31,1),(37,1),(83,1)}
        57:{1,2,4,5,7}:{(30,1),(31,1),(35,1),(38,1),(76,1),(86,1),(87,1),(88,1),(93,1),(129,1),(136,1),(139,1),(146,1),(147,1),(172,1),(178,1),(179,1),(180,1),(181,1),(200,1),(207,1)}
        58:{1,4,7}:{(32,1),(33,1),(40,1),(78,1)}
        59:{2,4,7}:{(32,1),(34,1),(41,1),(180,1)}
        60:{1,2,4,6}:{(33,1),(34,1),(35,1),(42,1),(79,1),(88,1),(89,1),(95,1),(138,1)}
        61:{3,5}:{(35,1),(89,1),(90,1)}
        62:{1,6,7}:{(36,1),(40,1)}
        63:{2,3,6,7}:{(36,1),(37,1),(41,1),(85,1),(91,1),(141,1),(169,1)}
        64:{1,2,6}:{(37,1),(38,1),(92,1)}
        65:{1,3,5,7}:{(38,1),(39,1),(43,1),(87,1),(92,1),(93,1),(146,1),(171,1),(196,1),(207,1)}
        66:{1,2,5,7}:{(40,1),(41,1),(42,1),(88,1),(91,1),(94,1),(179,1)}
        67:{1,3,5,6}:{(42,1),(43,1),(89,1),(92,1),(94,1),(95,1),(140,1),(144,1),(146,1),(183,1),(184,1)}
        68:{1,4}:{(43,1),(90,1)}
        69:{3,4,5}:{(97,1),(98,1),(99,1),(154,1)}
        70:{1,4,5,7}:{(44,1),(46,1),(52,1),(100,1),(112,1),(151,1)}
        71:{3,5,6}:{(44,1),(97,1),(100,1),(102,1)}
        72:{1,3,5}:{(45,1),(98,1),(103,1),(154,1),(165,1),(204,1)}
        73:{1,2,4,6}:{(45,1),(48,1),(103,1),(104,1),(107,1),(157,1),(159,1)}
        74:{3,6,7}:{(46,1),(100,1),(106,1)}
        75:{1,3,6}:{(47,1),(55,1),(107,1),(116,1),(209,1)}
        76:{1,2,5,7}:{(47,1),(48,1),(50,1),(103,1),(107,1),(108,1),(109,1)}
        77:{2,3,7}:{(48,1),(51,1),(104,1),(188,1)}
        78:{1,3,7}:{(49,1),(58,1),(109,1),(118,1)}
        79:{1,2,6}:{(49,1),(50,1),(109,1),(110,1)}
        80:{2,3,5}:{(50,1),(51,1),(61,1),(110,1),(111,1),(161,1)}
        81:{3,5,7}:{(52,1),(53,1),(54,1),(112,1),(113,1)}
        82:{1,5,6}:{(53,1),(55,1),(112,1)}
        83:{2,5,6}:{(53,1),(56,1),(113,1)}
        84:{1,4,6,7}:{(54,1),(55,1),(58,1),(62,1),(105,1),(112,1),(151,1)}
        85:{2,4,6,7}:{(54,1),(56,1),(59,1),(63,1),(106,1),(113,1),(152,1)}
        86:{1,2,4,6}:{(55,1),(56,1),(57,1),(64,1),(107,1),(114,1),(116,1),(121,1),(159,1),(163,1),(168,1),(193,1),(206,1),(209,1)}
        87:{3,5,7}:{(57,1),(61,1),(116,1),(117,1),(118,1),(154,1),(165,1),(188,1)}
        88:{1,2,4,7}:{(58,1),(59,1),(60,1),(66,1),(109,1),(118,1),(122,1),(160,1)}
        89:{3,6}:{(60,1),(61,1),(118,1)}
        90:{3,4}:{(61,1),(68,1),(111,1)}
        91:{1,2,6,7}:{(62,1),(63,1),(64,1),(66,1),(120,1),(185,1),(193,1)}
        92:{1,3,6}:{(64,1),(65,1),(116,1),(121,1),(209,1)}
        93:{1,4,7}:{(65,1),(68,1),(117,1),(121,1),(187,1)}
        94:{1,3,5,7}:{(66,1),(67,1),(118,1),(120,1),(122,1),(162,1),(166,1),(167,1)}
        95:{1,4,6}:{(67,1),(68,1),(119,1),(122,1),(123,1),(163,1)}
        96:{2,3,4}:{(124,1),(125,1),(174,1)}
        97:{3,4,6}:{(69,1),(71,1),(126,1),(127,1),(128,1),(173,1)}
        98:{1,4,5}:{(69,1),(72,1),(127,1),(181,1)}
        99:{2,4,5}:{(69,1),(124,1),(128,1)}
       100:{3,5,7}:{(70,1),(71,1),(74,1),(126,1),(131,1)}
       101:{1,3,5,6}:{(71,1),(72,1),(75,1),(82,1),(127,1),(130,1),(132,1),(140,1),(173,1)}
       102:{2,5,6}:{(71,1),(128,1),(131,1)}
       103:{1,2,5}:{(72,1),(73,1),(133,1),(178,1)}
       104:{2,3,6}:{(73,1),(77,1),(133,1),(173,1)}
       105:{1,3,6,7}:{(74,1),(75,1),(78,1),(84,1),(130,1),(134,1),(141,1)}
       106:{2,6,7}:{(74,1),(131,1)}
       107:{1,2,6}:{(75,1),(76,1),(135,1)}
       108:{2,3,5,7}:{(76,1),(77,1),(80,1),(87,1),(133,1),(135,1),(136,1),(137,1),(178,1),(179,1)}
       109:{1,2,7}:{(78,1),(79,1),(137,1)}
       110:{2,3,6}:{(79,1),(80,1),(89,1),(137,1),(138,1)}
       111:{2,4}:{(80,1),(90,1)}
       112:{1,5,7}:{(81,1),(82,1),(84,1)}
       113:{2,5,7}:{(81,1),(83,1),(85,1)}
       114:{1,2,5,6}:{(82,1),(83,1),(86,1),(139,1),(140,1),(146,1),(178,1),(184,1),(201,1)}
       115:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(134,1),(139,1),(141,1),(145,1),(172,1),(177,1),(180,1)}
       116:{3,6}:{(86,1),(87,1)}
       117:{3,4,7}:{(87,1),(90,1),(93,1),(136,1),(142,1),(174,1),(180,1)}
       118:{3,7}:{(88,1),(89,1)}
       119:{3,4,6}:{(89,1),(90,1),(95,1),(138,1),(143,1),(144,1),(183,1)}
       120:{1,3,6,7}:{(91,1),(92,1),(94,1),(141,1),(145,1),(183,1),(196,1)}
       121:{1,4,6}:{(92,1),(93,1),(142,1),(146,1)}
       122:{1,4,7}:{(94,1),(95,1),(143,1),(180,1)}
       123:{1,4,5}:{(95,1),(144,1),(146,1),(181,1)}
       124:{2,3,5}:{(96,1),(99,1),(148,1),(149,1),(154,1)}
       125:{1,2,4}:{(96,1),(149,1),(150,1),(187,1)}
       126:{3,4,7}:{(97,1),(100,1),(151,1),(152,1),(188,1)}
       127:{1,4,6}:{(97,1),(98,1),(101,1),(151,1),(163,1)}
       128:{2,4,6}:{(97,1),(99,1),(102,1),(148,1),(152,1)}
       129:{1,2,4,5}:{(98,1),(99,1),(103,1),(149,1),(153,1),(154,1),(157,1),(187,1),(191,1),(204,1)}
       130:{1,3,5,7}:{(100,1),(101,1),(105,1),(112,1),(151,1),(155,1),(162,1),(188,1)}
       131:{2,5,7}:{(100,1),(102,1),(106,1),(152,1)}
       132:{1,2,5,6}:{(101,1),(102,1),(103,1),(107,1),(153,1),(155,1),(156,1),(204,1),(209,1)}
       133:{2,3,5}:{(103,1),(104,1),(154,1),(157,1)}
       134:{1,2,6,7}:{(105,1),(106,1),(107,1),(109,1),(155,1),(158,1),(209,1)}
       135:{2,3,6}:{(107,1),(108,1),(116,1),(159,1),(193,1)}
       136:{2,4,7}:{(108,1),(111,1),(117,1),(157,1),(159,1)}
       137:{2,3,7}:{(109,1),(110,1),(118,1),(160,1)}
       138:{2,4,6}:{(110,1),(111,1),(119,1),(160,1),(161,1),(193,1)}
       139:{1,2,5,7}:{(112,1),(113,1),(114,1),(115,1),(162,1),(167,1),(192,1)}
       140:{3,5,6}:{(114,1),(116,1),(162,1),(163,1),(165,1)}
       141:{3,6,7}:{(115,1),(116,1),(118,1),(162,1),(188,1)}
       142:{3,4,6}:{(116,1),(117,1),(121,1),(159,1),(163,1),(165,1)}
       143:{3,4,7}:{(118,1),(119,1),(122,1),(160,1),(166,1)}
       144:{3,5}:{(119,1),(123,1),(161,1)}
       145:{1,4,6,7}:{(120,1),(121,1),(122,1),(164,1),(167,1),(168,1),(203,1),(209,1)}
       146:{1,5}:{(121,1),(165,1)}
       147:{1,4,5,7}:{(122,1),(123,1),(166,1),(167,1),(168,1),(194,1)}
       148:{2,3,6}:{(124,1),(128,1),(169,1),(170,1),(173,1)}
       149:{1,2,5}:{(124,1),(125,1),(170,1),(171,1)}
       150:{1,3}:{(125,1)}
       151:{1,4,7}:{(126,1),(127,1),(130,1),(180,1)}
       152:{2,4,7}:{(126,1),(128,1),(131,1),(169,1)}
       153:{1,2,4,6}:{(127,1),(128,1),(129,1),(132,1),(170,1),(172,1),(173,1),(176,1),(197,1)}
       154:{3,5}:{(129,1),(173,1),(174,1)}
       155:{1,2,5,7}:{(130,1),(131,1),(132,1),(134,1),(172,1),(175,1),(207,1)}
       156:{2,3,5,6}:{(132,1),(133,1),(135,1),(140,1),(173,1),(175,1),(176,1),(178,1),(199,1),(201,1),(208,1)}
       157:{2,4}:{(133,1),(174,1)}
       158:{2,3,6,7}:{(134,1),(135,1),(137,1),(141,1),(175,1),(177,1),(208,1)}
       159:{2,4,6}:{(135,1),(136,1),(142,1),(178,1)}
       160:{2,4,7}:{(137,1),(138,1),(143,1),(179,1)}
       161:{2,5}:{(138,1),(144,1)}
       162:{3,5,7}:{(139,1),(140,1),(141,1),(180,1)}
       163:{4,6}:{(140,1),(180,1),(181,1)}
       164:{3,4,6,7}:{(141,1),(142,1),(143,1),(145,1),(177,1),(180,1),(182,1),(183,1),(198,1),(202,1),(208,1)}
       165:{3,5}:{(142,1),(146,1),(178,1),(181,1)}
       166:{3,5,7}:{(143,1),(144,1),(147,1),(179,1),(183,1)}
       167:{1,5,7}:{(145,1),(146,1),(182,1),(184,1)}
       168:{1,4,6}:{(147,1),(183,1),(184,1),(202,1)}
       169:{2,3,7}:{(148,1),(152,1),(185,1),(188,1)}
       170:{1,2,6}:{(148,1),(149,1),(185,1),(186,1)}
       171:{1,3,5}:{(149,1),(150,1),(154,1),(186,1),(187,1),(204,1)}
       172:{1,2,4,7}:{(151,1),(152,1),(153,1),(155,1),(185,1),(188,1),(190,1),(203,1)}
       173:{3,6}:{(153,1),(154,1),(188,1)}
       174:{3,4}:{(154,1),(157,1),(187,1)}
       175:{2,3,5,7}:{(155,1),(156,1),(158,1),(162,1),(188,1),(190,1),(192,1),(205,1)}
       176:{2,4,6}:{(156,1),(157,1),(163,1),(189,1),(190,1),(191,1)}
       177:{2,4,6,7}:{(158,1),(159,1),(160,1),(164,1),(190,1),(192,1),(193,1),(206,1)}
       178:{2,5}:{(159,1),(165,1)}
       179:{2,5,7}:{(160,1),(161,1),(166,1),(193,1)}
       180:{4,7}:{(162,1),(163,1)}
       181:{4,5}:{(163,1),(165,1)}
       182:{3,5,7}:{(164,1),(165,1),(167,1),(192,1),(194,1),(195,1)}
       183:{3,6}:{(166,1),(168,1),(193,1)}
       184:{1,5,6}:{(167,1),(168,1),(195,1),(209,1)}
       185:{1,2,7}:{(169,1),(170,1),(196,1)}
       186:{1,3,6}:{(170,1),(171,1),(173,1),(196,1),(197,1)}
       187:{1,4}:{(171,1),(174,1)}
       188:{3,7}:{(172,1),(173,1)}
       189:{3,4,6}:{(173,1),(174,1),(176,1),(197,1),(198,1),(199,1),(208,1)}
       190:{2,4,7}:{(175,1),(176,1),(180,1),(198,1)}
       191:{2,4,5}:{(176,1),(178,1),(181,1),(199,1)}
       192:{2,5,7}:{(177,1),(178,1),(182,1),(201,1)}
       193:{2,6}:{(179,1),(183,1)}
       194:{4,5,7}:{(180,1),(181,1),(182,1),(202,1)}
       195:{3,5,6}:{(182,1),(183,1),(184,1),(201,1),(202,1),(208,1)}
       196:{1,3,7}:{(185,1),(186,1),(188,1),(203,1)}
       197:{1,4,6}:{(186,1),(187,1),(189,1),(203,1),(204,1),(209,1)}
       198:{3,4,7}:{(188,1),(189,1),(190,1),(203,1),(205,1)}
       199:{3,5}:{(189,1),(191,1),(204,1)}
       200:{2,4,5,7}:{(190,1),(191,1),(192,1),(194,1),(205,1),(206,1)}
       201:{2,5,6}:{(192,1),(193,1),(195,1),(206,1)}
       202:{4,6}:{(194,1),(195,1)}
       203:{1,4,7}:{(196,1),(197,1),(198,1),(207,1)}
       204:{1,5}:{(197,1),(199,1)}
       205:{3,5,7}:{(198,1),(199,1),(200,1),(207,1),(208,1)}
       206:{2,4,6}:{(200,1),(201,1),(202,1),(208,1)}
       207:{1,5,7}:{(203,1),(204,1),(205,1),(209,1)}
       208:{3,6}:{(205,1),(206,1),(209,1)}
       209:{1,6}:{(207,1),(208,1)}

1624 :   0:{1,4,5,6,7}:{(1,1),(12,1),(119,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(147,1)}
         2:{1,3,4,5,7}:{(7,1),(8,1),(10,1),(59,1),(73,1),(76,1),(108,1),(116,1),(123,1),(126,1)}
         3:{1,3,4,6,7}:{(7,1),(10,1),(11,1),(12,1),(39,1),(73,1),(78,1)}
         4:{3,4,6,7}:{(1,1),(9,1),(12,1),(13,1),(39,1),(130,1)}
         5:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(14,1),(39,1),(77,1)}
         6:{2,5,6,7}:{(1,1),(13,1),(171,1)}
         7:{1,3,4,6}:{(2,1),(16,1),(17,1),(89,1),(102,1),(152,1),(154,1)}
         8:{1,2,4,5,7}:{(2,1),(17,1),(18,1),(21,1),(42,1),(53,1),(86,1),(90,1)}
         9:{3,4,5,7}:{(4,1),(15,1),(19,1),(20,1),(52,1)}
        10:{1,3,5,7}:{(3,1),(16,1),(19,1),(21,1),(52,1),(104,1)}
        11:{1,2,4,6,7}:{(3,1),(17,1),(21,1),(22,1),(53,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(19,1),(102,1)}
        13:{2,4,6,7}:{(4,1),(6,1),(20,1),(23,1),(156,1)}
        14:{1,2,5,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(96,1),(104,1)}
        15:{3,4,5,6}:{(9,1),(27,1),(28,1),(65,1),(130,1),(161,1)}
        16:{1,3,5,6}:{(7,1),(10,1),(27,1),(29,1),(65,1),(108,1),(132,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(29,1),(30,1),(66,1)}
        18:{2,3,5,7}:{(8,1),(30,1),(31,1),(67,1),(123,1)}
        19:{1,4,5,7}:{(9,1),(10,1),(12,1),(27,1)}
        20:{2,4,5,7}:{(9,1),(13,1),(28,1),(33,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(29,1),(35,1)}
        22:{2,3,6,7}:{(11,1),(30,1),(35,1),(39,1)}
        23:{2,3,6,7}:{(13,1),(33,1),(38,1),(39,1),(174,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(34,1),(38,1),(39,1),(40,1),(78,1),(124,1)}
        25:{2,3,5,6,7}:{(14,1),(35,1),(39,1),(40,1),(75,1),(79,1)}
        26:{1,2,3,5,7}:{(18,1),(41,1),(42,1),(83,1),(86,1)}
        27:{1,4,5,6}:{(15,1),(16,1),(19,1),(102,1),(135,1)}
        28:{2,4,5,6}:{(15,1),(20,1),(43,1),(156,1),(180,1)}
        29:{1,2,5,6}:{(16,1),(17,1),(21,1),(45,1),(86,1)}
        30:{2,3,6}:{(17,1),(18,1),(152,1)}
        31:{2,3,4,7}:{(18,1),(42,1),(46,1),(53,1),(94,1)}
        32:{1,2,3,6,7}:{(22,1),(41,1),(49,1),(50,1),(56,1),(137,1),(152,1),(190,1),(191,1)}
        33:{2,3,5,7}:{(20,1),(23,1),(43,1),(48,1),(51,1),(52,1)}
        34:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(24,1),(44,1),(51,1),(52,1),(53,1),(58,1),(97,1),(104,1)}
        35:{2,3,5,7}:{(21,1),(22,1),(45,1),(52,1),(53,1)}
        36:{2,3,4,6,7}:{(22,1),(46,1),(50,1),(53,1),(54,1),(57,1),(94,1),(99,1),(152,1)}
        37:{1,3,4,6,7}:{(50,1),(55,1),(82,1),(94,1),(102,1),(137,1),(152,1),(157,1),(183,1)}
        38:{1,2,6,7}:{(23,1),(51,1),(56,1),(190,1)}
        39:{3,6,7}:{(24,1),(52,1),(152,1)}
        40:{2,4,6,7}:{(25,1),(53,1),(57,1),(58,1),(99,1)}
        41:{1,2,3,6}:{(26,1),(30,1),(62,1),(109,1)}
        42:{1,2,4,7}:{(26,1),(31,1),(59,1),(62,1)}
        43:{2,3,5,6}:{(28,1),(33,1),(60,1),(64,1),(65,1),(165,1),(174,1)}
        44:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(34,1),(64,1),(65,1),(66,1),(80,1),(112,1),(115,1),(124,1),(132,1)}
        45:{2,3,5,6}:{(29,1),(30,1),(35,1),(65,1),(66,1),(67,1)}
        46:{2,3,4,6}:{(30,1),(31,1),(62,1),(66,1),(67,1),(111,1)}
        47:{2,3,4,5,7}:{(31,1),(63,1),(67,1),(68,1),(74,1),(118,1),(123,1),(129,1),(161,1),(197,1)}
        48:{2,3,4,7}:{(33,1),(60,1),(69,1),(73,1)}
        49:{1,2,3,5,7}:{(32,1),(35,1),(61,1),(70,1),(71,1),(72,1),(120,1),(123,1),(163,1),(173,1),(199,1)}
        50:{1,2,4,6,7}:{(32,1),(36,1),(37,1),(62,1),(70,1),(71,1),(78,1),(124,1),(178,1)}
        51:{1,2,5,7}:{(33,1),(38,1),(64,1),(69,1),(72,1)}
        52:{3,5,7}:{(34,1),(39,1),(65,1),(73,1)}
        53:{2,4,7}:{(35,1),(66,1),(73,1)}
        54:{2,3,5,7}:{(36,1),(67,1),(71,1),(74,1),(75,1),(79,1),(123,1)}
        55:{1,3,5,7}:{(37,1),(71,1),(76,1),(77,1),(108,1),(123,1),(172,1)}
        56:{1,3,6,7}:{(38,1),(39,1),(72,1),(78,1),(175,1)}
        57:{3,4,6,7}:{(39,1),(40,1),(73,1),(78,1),(79,1),(127,1)}
        58:{2,4,5,7}:{(40,1),(79,1),(80,1)}
        59:{1,3,4,7}:{(42,1),(82,1),(83,1),(94,1),(183,1)}
        60:{2,3,4,6}:{(43,1),(48,1),(81,1),(84,1),(89,1)}
        61:{1,2,3,5,6}:{(41,1),(45,1),(49,1),(85,1),(86,1),(88,1),(96,1),(136,1),(138,1),(141,1),(152,1),(184,1),(185,1),(190,1)}
        62:{1,2,4,6}:{(41,1),(42,1),(46,1),(82,1),(86,1)}
        63:{1,2,4,5,7}:{(42,1),(47,1),(83,1),(86,1),(87,1),(135,1),(143,1),(183,1)}
        64:{1,2,5,6}:{(43,1),(51,1),(84,1),(88,1),(184,1),(190,1)}
        65:{3,5,6}:{(44,1),(52,1),(89,1),(141,1),(152,1)}
        66:{2,4,6}:{(45,1),(53,1),(89,1),(90,1)}
        67:{2,3,5}:{(46,1),(86,1),(90,1),(141,1)}
        68:{2,3,4,6}:{(47,1),(87,1),(91,1),(99,1),(152,1),(156,1),(182,1)}
        69:{1,2,4,7}:{(48,1),(51,1),(84,1),(93,1),(97,1)}
        70:{1,2,4,7}:{(49,1),(53,1),(85,1),(94,1),(97,1),(183,1),(204,1)}
        71:{1,2,5,7}:{(50,1),(54,1),(55,1),(86,1),(96,1),(104,1),(189,1)}
        72:{1,3,5,7}:{(51,1),(52,1),(56,1),(88,1),(93,1),(97,1),(104,1)}
        73:{3,4,7}:{(52,1),(53,1),(89,1),(97,1)}
        74:{2,4,5,7}:{(53,1),(54,1),(90,1),(98,1),(99,1)}
        75:{2,3,5,6}:{(54,1),(96,1),(99,1),(105,1),(152,1)}
        76:{1,4,5,7}:{(55,1),(101,1),(102,1),(135,1),(183,1)}
        77:{1,3,5,6}:{(55,1),(96,1),(102,1),(147,1),(152,1)}
        78:{1,4,6,7}:{(56,1),(57,1),(97,1),(104,1),(154,1)}
        79:{3,5,7}:{(57,1),(58,1),(104,1),(105,1)}
        80:{2,4,5,6}:{(58,1),(99,1),(105,1)}
        81:{2,3,4,5}:{(60,1),(107,1),(116,1),(165,1),(193,1)}
        82:{1,3,4,6}:{(59,1),(62,1),(108,1),(109,1),(111,1),(162,1)}
        83:{1,3,5,7}:{(59,1),(63,1),(108,1),(109,1),(123,1)}
        84:{1,2,4,6}:{(60,1),(64,1),(69,1),(107,1),(110,1),(115,1)}
        85:{1,2,4,6}:{(61,1),(66,1),(70,1),(111,1),(112,1),(115,1),(162,1),(195,1)}
        86:{1,2,5}:{(62,1),(67,1),(108,1)}
        87:{1,2,4,6}:{(63,1),(68,1),(109,1),(113,1),(162,1)}
        88:{1,3,5,6}:{(64,1),(65,1),(72,1),(110,1),(115,1),(132,1),(166,1),(175,1)}
        89:{3,4,6}:{(65,1),(66,1),(73,1),(115,1),(116,1)}
        90:{2,4,5}:{(66,1),(67,1),(116,1)}
        91:{2,3,5,6}:{(67,1),(68,1),(113,1),(117,1),(118,1),(167,1),(171,1)}
        92:{2,3,4,6,7}:{(68,1),(114,1),(118,1),(128,1),(176,1),(178,1),(197,1)}
        93:{1,3,7}:{(69,1),(110,1)}
        94:{3,4,7}:{(70,1),(111,1),(123,1)}
        95:{1,2,4,5,7}:{(70,1),(71,1),(74,1),(76,1),(112,1),(123,1),(124,1),(126,1),(129,1),(173,1)}
        96:{1,2,5,6}:{(71,1),(75,1),(77,1),(124,1),(132,1),(171,1)}
        97:{1,4,7}:{(72,1),(73,1),(115,1)}
        98:{3,4,5,7}:{(73,1),(74,1),(79,1),(116,1),(123,1),(126,1),(127,1)}
        99:{2,4,6}:{(74,1),(75,1),(127,1)}
       100:{2,3,5,6,7}:{(75,1),(118,1),(125,1),(128,1),(133,1),(176,1)}
       101:{3,4,5,7}:{(76,1),(123,1),(129,1),(130,1),(161,1),(172,1),(197,1)}
       102:{1,4,6}:{(76,1),(77,1),(130,1)}
       103:{1,3,5,6,7}:{(77,1),(125,1),(131,1),(163,1),(172,1),(176,1)}
       104:{1,5,7}:{(78,1),(79,1),(132,1)}
       105:{3,5,6}:{(79,1),(80,1),(127,1),(132,1)}
       106:{2,4,5,6,7}:{(80,1),(128,1),(133,1)}
       107:{1,2,4,5}:{(81,1),(84,1),(134,1),(144,1),(179,1),(184,1)}
       108:{1,3,5}:{(82,1),(86,1),(135,1),(141,1)}
       109:{1,3,6}:{(83,1),(87,1),(152,1)}
       110:{1,3,6}:{(84,1),(93,1),(134,1)}
       111:{3,4,6}:{(85,1),(94,1),(141,1),(152,1)}
       112:{1,2,4,5}:{(85,1),(86,1),(90,1),(135,1),(141,1),(144,1),(180,1),(184,1)}
       113:{1,2,5,6}:{(86,1),(87,1),(91,1),(136,1),(143,1)}
       114:{1,2,4,6,7}:{(87,1),(92,1),(137,1),(143,1),(183,1)}
       115:{1,4,6}:{(88,1),(89,1),(97,1),(144,1)}
       116:{3,4,5}:{(89,1),(90,1),(141,1),(144,1)}
       117:{2,4,5,6}:{(90,1),(91,1),(99,1),(145,1),(146,1)}
       118:{2,3,5,7}:{(91,1),(92,1),(143,1),(146,1),(187,1),(189,1)}
       119:{1,4,5,6}:{(102,1),(147,1),(148,1)}
       120:{1,2,3,7}:{(93,1),(138,1),(149,1),(209,1)}
       121:{2,3,4,7}:{(94,1),(139,1),(149,1),(150,1),(204,1),(209,1)}
       122:{1,3,4,7}:{(93,1),(94,1),(97,1),(140,1),(149,1),(151,1)}
       123:{3,5,7}:{(94,1),(95,1),(141,1),(152,1)}
       124:{1,2,4,6}:{(95,1),(96,1),(99,1),(102,1),(152,1),(154,1),(156,1),(190,1)}
       125:{1,2,5,6,7}:{(96,1),(100,1),(103,1),(143,1),(153,1),(158,1),(189,1)}
       126:{1,4,5,7}:{(97,1),(98,1),(104,1),(144,1),(151,1),(154,1)}
       127:{3,4,6}:{(98,1),(99,1),(105,1),(152,1),(154,1)}
       128:{2,4,6,7}:{(99,1),(100,1),(146,1),(155,1)}
       129:{2,4,5,7}:{(101,1),(150,1),(156,1),(180,1),(189,1),(204,1)}
       130:{3,4,6}:{(101,1),(102,1),(147,1),(152,1),(156,1)}
       131:{1,4,6,7}:{(102,1),(103,1),(148,1),(157,1),(183,1)}
       132:{1,5,6}:{(104,1),(105,1),(154,1)}
       133:{3,5,6,7}:{(105,1),(106,1),(155,1),(158,1)}
       134:{1,3,5}:{(107,1),(110,1),(160,1)}
       135:{1,4,5}:{(108,1),(161,1),(162,1)}
       136:{1,3,5,6}:{(108,1),(109,1),(113,1),(162,1),(163,1),(167,1)}
       137:{1,3,6,7}:{(109,1),(114,1),(163,1),(176,1)}
       138:{1,2,3,6}:{(110,1),(120,1),(159,1),(164,1),(207,1)}
       139:{2,3,4,6}:{(111,1),(121,1),(164,1),(165,1),(174,1),(193,1),(195,1),(207,1)}
       140:{1,3,4,6}:{(110,1),(111,1),(115,1),(122,1),(160,1),(164,1),(166,1),(175,1)}
       141:{3,5}:{(111,1),(112,1)}
       142:{1,2,4,5,6}:{(112,1),(113,1),(117,1),(119,1),(124,1),(162,1),(167,1),(168,1),(169,1),(171,1),(195,1),(198,1)}
       143:{1,2,5,7}:{(113,1),(114,1),(118,1),(163,1)}
       144:{1,4,5}:{(115,1),(116,1),(166,1)}
       145:{3,4,5,6}:{(116,1),(117,1),(127,1),(167,1),(169,1),(170,1)}
       146:{2,4,5,7}:{(117,1),(118,1),(128,1),(170,1)}
       147:{3,5,6}:{(119,1),(130,1),(171,1),(172,1)}
       148:{1,4,5,7}:{(119,1),(131,1),(172,1)}
       149:{1,2,4,7}:{(120,1),(121,1),(122,1),(164,1),(173,1)}
       150:{2,3,5,7}:{(121,1),(123,1),(129,1),(165,1),(173,1),(174,1)}
       151:{1,3,5,7}:{(122,1),(123,1),(126,1),(166,1),(173,1),(175,1)}
       152:{3,6}:{(123,1),(124,1)}
       153:{1,2,4,6,7}:{(124,1),(125,1),(128,1),(131,1),(168,1),(176,1),(177,1),(178,1),(201,1)}
       154:{1,4,6}:{(126,1),(127,1),(132,1),(175,1)}
       155:{3,4,6,7}:{(127,1),(128,1),(133,1),(170,1),(176,1),(177,1)}
       156:{2,4,6}:{(129,1),(130,1),(171,1),(174,1)}
       157:{3,4,6,7}:{(130,1),(131,1),(172,1),(176,1),(178,1),(197,1)}
       158:{1,5,6,7}:{(132,1),(133,1),(177,1)}
       159:{1,2,3,5}:{(134,1),(138,1),(179,1),(184,1),(202,1)}
       160:{1,3,4}:{(134,1),(179,1)}
       161:{3,4,5}:{(135,1),(141,1),(180,1),(182,1)}
       162:{1,4,6}:{(135,1),(136,1),(182,1),(183,1)}
       163:{1,3,5,7}:{(136,1),(137,1),(143,1),(183,1),(187,1)}
       164:{1,2,4,6}:{(138,1),(139,1),(140,1),(149,1),(179,1),(184,1),(190,1)}
       165:{2,3,5}:{(139,1),(141,1),(180,1),(184,1)}
       166:{1,3,5}:{(140,1),(141,1),(144,1),(184,1)}
       167:{3,5,6}:{(141,1),(142,1),(152,1),(182,1),(187,1)}
       168:{1,2,4,5,7}:{(142,1),(143,1),(146,1),(148,1),(153,1),(183,1),(187,1),(188,1),(189,1),(204,1),(206,1)}
       169:{1,4,5,6}:{(144,1),(145,1),(154,1),(186,1),(188,1)}
       170:{3,4,5,7}:{(145,1),(146,1),(155,1),(187,1),(188,1)}
       171:{2,5,6}:{(147,1),(156,1),(189,1)}
       172:{3,5,7}:{(147,1),(148,1),(157,1),(189,1)}
       173:{1,2,5,7}:{(149,1),(150,1),(151,1),(184,1),(190,1)}
       174:{2,3,6}:{(150,1),(152,1),(156,1),(190,1)}
       175:{1,3,6}:{(151,1),(152,1),(154,1),(190,1)}
       176:{3,6,7}:{(152,1),(153,1),(187,1)}
       177:{1,4,6,7}:{(154,1),(155,1),(158,1),(188,1),(192,1)}
       178:{2,4,6,7}:{(156,1),(157,1),(189,1),(191,1),(204,1)}
       179:{1,2,4}:{(159,1),(160,1),(193,1)}
       180:{2,4,5}:{(161,1),(165,1),(195,1)}
       181:{1,3,4,5}:{(160,1),(161,1),(166,1),(194,1),(196,1)}
       182:{3,4,6}:{(161,1),(162,1),(167,1),(195,1),(197,1)}
       183:{1,4,7}:{(162,1),(163,1),(197,1)}
       184:{1,2,5}:{(164,1),(165,1),(166,1)}
       185:{2,3,5,6}:{(165,1),(167,1),(171,1),(174,1),(195,1),(198,1),(199,1),(207,1)}
       186:{1,3,5,6}:{(166,1),(167,1),(169,1),(175,1),(196,1),(198,1),(200,1)}
       187:{3,5,7}:{(167,1),(168,1),(176,1),(197,1)}
       188:{1,4,5,7}:{(169,1),(170,1),(177,1),(200,1)}
       189:{2,5,7}:{(171,1),(172,1),(178,1)}
       190:{1,2,6}:{(173,1),(174,1),(175,1)}
       191:{2,3,6,7}:{(174,1),(176,1),(178,1),(199,1),(201,1)}
       192:{1,3,6,7}:{(175,1),(176,1),(177,1),(200,1),(201,1)}
       193:{2,3,4}:{(179,1),(202,1)}
       194:{1,2,4,5}:{(179,1),(180,1),(181,1),(184,1),(202,1),(203,1)}
       195:{2,4,6}:{(180,1),(182,1),(185,1),(204,1)}
       196:{1,3,4,6}:{(181,1),(182,1),(186,1),(203,1),(205,1)}
       197:{3,4,7}:{(182,1),(183,1),(187,1),(204,1)}
       198:{1,2,5,6}:{(184,1),(185,1),(186,1),(190,1),(203,1),(206,1)}
       199:{2,3,5,7}:{(185,1),(187,1),(189,1),(191,1),(204,1),(206,1),(209,1)}
       200:{1,3,5,7}:{(186,1),(187,1),(188,1),(192,1),(205,1),(206,1)}
       201:{1,2,6,7}:{(190,1),(191,1),(192,1),(206,1)}
       202:{2,3,5}:{(193,1),(194,1),(207,1)}
       203:{1,2,4,6}:{(194,1),(195,1),(196,1),(198,1),(207,1),(208,1)}
       204:{2,4,7}:{(195,1),(197,1),(199,1)}
       205:{1,3,4,7}:{(196,1),(197,1),(200,1),(208,1)}
       206:{1,2,5,7}:{(198,1),(199,1),(200,1),(201,1),(208,1)}
       207:{2,3,6}:{(202,1),(203,1),(209,1)}
       208:{1,2,4,7}:{(203,1),(204,1),(205,1),(206,1),(209,1)}
       209:{2,3,7}:{(207,1),(208,1)}

1625 :   0:{2,3,4,5,6}:{(2,1),(3,1),(34,1),(56,1),(84,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(19,1),(92,1)}
         2:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(42,1),(45,1),(71,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(23,1),(70,1),(72,1)}
         4:{1,4,5,6,7}:{(1,1),(9,1),(99,1)}
         5:{2,4,5,6,7}:{(1,1),(10,1),(83,1)}
         6:{2,3,4,6,7}:{(2,1),(10,1),(12,1),(29,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(12,1),(13,1),(32,1),(55,1),(58,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(15,1)}
         9:{1,3,5,6,7}:{(4,1),(16,1),(17,1),(19,1),(90,1)}
        10:{2,3,5,6,7}:{(5,1),(6,1),(18,1),(19,1),(71,1)}
        11:{1,2,4,5,6,7}:{(4,1),(5,1),(17,1),(18,1),(19,1),(40,1),(41,1),(68,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(18,1),(20,1),(41,1)}
        13:{1,3,5,7}:{(7,1),(8,1),(20,1),(22,1)}
        14:{1,2,3,5,6}:{(8,1),(21,1),(23,1),(48,1),(72,1),(73,1)}
        15:{1,3,4,6}:{(8,1),(22,1),(23,1),(24,1)}
        16:{1,3,4,6,7}:{(9,1),(25,1),(26,1),(29,1)}
        17:{1,2,5,6,7}:{(9,1),(26,1),(27,1),(79,1)}
        18:{1,2,5,6,7}:{(10,1),(12,1),(28,1),(58,1)}
        19:{3,5,6,7}:{(11,1),(29,1),(81,1)}
        20:{1,3,6,7}:{(12,1),(13,1)}
        21:{1,2,3,5,7}:{(13,1),(14,1),(30,1),(32,1),(58,1),(60,1)}
        22:{1,3,4,7}:{(13,1),(15,1),(32,1)}
        23:{1,2,4,6}:{(14,1),(15,1),(32,1),(34,1),(35,1)}
        24:{1,3,4,5}:{(15,1),(35,1)}
        25:{1,3,4,5,7}:{(16,1),(36,1),(37,1),(42,1),(87,1),(90,1)}
        26:{1,2,4,6,7}:{(16,1),(17,1),(37,1),(38,1),(40,1)}
        27:{2,3,5,6,7}:{(17,1),(19,1),(38,1),(40,1),(66,1)}
        28:{1,3,5,6,7}:{(18,1),(19,1),(20,1),(41,1),(44,1)}
        29:{3,4,6,7}:{(19,1),(40,1),(41,1),(42,1)}
        30:{1,2,3,6,7}:{(20,1),(21,1),(43,1),(73,1)}
        31:{1,3,4,6,7}:{(20,1),(22,1),(41,1),(43,1),(44,1),(47,1),(67,1)}
        32:{1,2,4,7}:{(21,1),(22,1),(23,1),(45,1)}
        33:{1,3,4,5,7}:{(22,1),(24,1),(44,1),(46,1),(47,1),(92,1)}
        34:{2,3,4,6}:{(23,1),(45,1),(48,1),(73,1)}
        35:{1,2,4,5}:{(23,1),(24,1),(48,1)}
        36:{1,3,4,5,6}:{(25,1),(49,1),(56,1),(95,1),(100,1)}
        37:{1,2,4,5,7}:{(25,1),(26,1),(49,1),(50,1),(54,1),(76,1),(79,1)}
        38:{2,3,6,7}:{(26,1),(50,1)}
        39:{1,2,3,5,6,7}:{(27,1),(28,1),(30,1),(51,1),(53,1),(58,1),(79,1),(81,1),(84,1),(100,1)}
        40:{2,4,6,7}:{(27,1),(29,1),(54,1)}
        41:{1,4,6,7}:{(28,1),(29,1),(55,1)}
        42:{3,4,5,7}:{(29,1),(54,1),(55,1),(56,1),(81,1)}
        43:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(57,1),(58,1),(61,1)}
        44:{1,3,5,7}:{(31,1),(55,1),(58,1),(59,1),(81,1)}
        45:{2,3,4,7}:{(32,1),(34,1),(60,1)}
        46:{1,2,4,5,7}:{(32,1),(33,1),(35,1),(58,1),(60,1),(61,1),(83,1)}
        47:{1,3,4,6}:{(33,1),(59,1),(61,1),(101,1)}
        48:{2,3,5}:{(34,1),(35,1)}
        49:{1,2,4,5,6}:{(36,1),(37,1),(62,1),(69,1),(85,1),(91,1)}
        50:{2,3,5,7}:{(37,1),(38,1),(62,1),(64,1)}
        51:{1,2,3,6,7}:{(38,1),(63,1),(65,1),(103,1)}
        52:{2,3,4,6,7}:{(38,1),(40,1),(64,1),(65,1),(66,1),(67,1),(89,1)}
        53:{1,2,4,6,7}:{(39,1),(40,1),(41,1),(67,1),(68,1),(94,1),(104,1)}
        54:{2,4,5,7}:{(40,1),(42,1),(66,1),(69,1)}
        55:{1,4,5,7}:{(41,1),(42,1),(44,1),(70,1)}
        56:{3,4,5,6}:{(42,1),(69,1),(70,1),(93,1)}
        57:{2,3,4,6,7}:{(43,1),(45,1),(67,1),(71,1),(73,1),(94,1)}
        58:{1,2,5,7}:{(43,1),(44,1),(71,1),(72,1)}
        59:{1,3,5,6}:{(44,1),(47,1),(70,1),(72,1),(93,1)}
        60:{2,3,5,7}:{(45,1),(46,1),(48,1),(73,1)}
        61:{1,2,4,6}:{(46,1),(47,1),(72,1),(73,1),(94,1)}
        62:{2,3,5,6}:{(49,1),(50,1),(75,1)}
        63:{1,2,3,5,7}:{(50,1),(51,1),(74,1),(76,1),(79,1),(97,1)}
        64:{2,3,4,7}:{(50,1),(75,1),(76,1)}
        65:{1,2,4,6,7}:{(51,1),(52,1),(76,1),(78,1),(79,1),(98,1)}
        66:{2,3,5,7}:{(52,1),(54,1),(79,1),(80,1),(81,1)}
        67:{3,4,6,7}:{(53,1),(81,1),(101,1)}
        68:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(58,1),(79,1),(81,1),(82,1),(83,1),(99,1)}
        69:{2,4,5,6}:{(54,1),(56,1),(80,1)}
        70:{1,4,5,6}:{(55,1),(56,1),(59,1)}
        71:{2,3,5,7}:{(57,1),(58,1),(81,1),(83,1),(84,1)}
        72:{1,2,5,6}:{(58,1),(59,1),(61,1),(84,1)}
        73:{2,3,6}:{(60,1),(61,1)}
        74:{1,2,3,5,6}:{(62,1),(63,1),(85,1),(91,1),(102,1),(103,1)}
        75:{2,3,4,6}:{(62,1),(64,1),(85,1),(86,1)}
        76:{1,2,4,7}:{(63,1),(64,1),(85,1),(87,1)}
        77:{2,3,4,5,7}:{(64,1),(66,1),(86,1),(88,1),(89,1),(92,1)}
        78:{1,3,4,6,7}:{(65,1),(67,1),(87,1),(90,1),(103,1),(104,1)}
        79:{1,2,5,7}:{(65,1),(66,1),(90,1),(91,1)}
        80:{2,3,5,6}:{(66,1),(69,1),(89,1),(91,1),(93,1)}
        81:{3,5,7}:{(67,1),(68,1),(93,1)}
        82:{1,2,4,5,6}:{(68,1),(69,1),(70,1),(72,1),(91,1),(93,1),(94,1),(104,1)}
        83:{2,4,5,7}:{(71,1),(92,1),(94,1)}
        84:{2,3,5,6}:{(71,1),(72,1),(73,1),(93,1),(94,1)}
        85:{1,2,4,6}:{(74,1),(75,1),(76,1),(95,1),(96,1)}
        86:{2,3,4,5}:{(75,1),(96,1)}
        87:{1,3,4,7}:{(76,1),(95,1),(97,1)}
        88:{1,2,4,5,7}:{(76,1),(77,1),(79,1),(96,1),(97,1),(98,1),(99,1)}
        89:{2,3,4,6}:{(77,1),(80,1),(98,1),(101,1)}
        90:{1,3,5,7}:{(78,1),(79,1),(81,1),(99,1),(100,1)}
        91:{1,2,5,6}:{(79,1),(80,1),(98,1),(100,1)}
        92:{3,4,5,7}:{(81,1),(83,1),(99,1),(101,1)}
        93:{3,5,6}:{(81,1),(82,1),(101,1)}
        94:{2,4,6}:{(83,1),(84,1),(101,1)}
        95:{1,3,4,6}:{(85,1),(87,1),(102,1),(103,1)}
        96:{1,2,4,5}:{(85,1),(86,1),(102,1)}
        97:{1,3,5,7}:{(87,1),(88,1),(102,1),(103,1)}
        98:{1,2,4,6}:{(88,1),(89,1),(91,1),(103,1),(104,1)}
        99:{1,4,5,7}:{(90,1),(92,1),(104,1)}
       100:{1,3,5,6}:{(90,1),(91,1),(93,1),(103,1),(104,1)}
       101:{3,4,6}:{(92,1),(93,1),(94,1),(104,1)}
       102:{1,3,5}:{(95,1),(96,1)}
       103:{1,3,6}:{(97,1),(98,1)}
       104:{1,4,6}:{(99,1),(100,1),(101,1)}

1626 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(21,1),(53,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(34,1),(69,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(24,1),(48,1),(85,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(19,1),(24,1),(47,1),(88,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(20,1),(24,1),(46,1),(87,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(34,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(64,1),(106,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(63,1),(105,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(32,1),(33,1),(108,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(45,1),(85,1),(158,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(17,1),(19,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(18,1),(20,1)}
        12:{1,3,4,6,7}:{(6,1),(19,1),(22,1),(24,1),(26,1),(48,1)}
        13:{2,3,4,6,7}:{(7,1),(20,1),(23,1),(24,1),(41,1),(48,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(21,1),(24,1),(128,1)}
        15:{1,2,3,5,6,7}:{(8,1),(24,1),(25,1),(46,1),(47,1),(49,1),(52,1),(78,1),(86,1),(87,1),(88,1),(131,1),(161,1),(163,1),(172,1)}
        16:{1,3,4,5,7}:{(19,1),(26,1),(27,1),(48,1),(81,1),(84,1),(92,1),(127,1),(132,1)}
        17:{1,4,5,6}:{(9,1),(10,1),(29,1),(106,1),(149,1)}
        18:{2,4,5,6}:{(9,1),(11,1),(30,1),(105,1),(164,1)}
        19:{1,3,5,7}:{(10,1),(12,1),(29,1),(32,1),(34,1)}
        20:{2,3,5,7}:{(11,1),(13,1),(30,1),(33,1),(34,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(31,1),(32,1),(33,1),(34,1),(63,1),(64,1)}
        22:{1,2,4,6,7}:{(12,1),(32,1),(35,1),(39,1),(63,1)}
        23:{1,2,4,6,7}:{(13,1),(33,1),(36,1),(57,1),(64,1)}
        24:{3,6,7}:{(14,1),(34,1),(147,1)}
        25:{1,2,4,6,7}:{(15,1),(37,1),(38,1),(63,1),(64,1),(99,1),(105,1),(106,1),(170,1),(174,1)}
        26:{1,3,4,6}:{(16,1),(29,1),(39,1),(61,1),(106,1),(147,1)}
        27:{1,2,4,5,7}:{(16,1),(32,1),(39,1),(40,1),(63,1),(73,1),(100,1),(112,1)}
        28:{2,3,4,5,7}:{(20,1),(41,1),(42,1),(48,1),(81,1),(83,1),(119,1),(127,1),(153,1)}
        29:{1,3,5,6}:{(17,1),(19,1),(26,1),(43,1),(45,1),(132,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(41,1),(44,1),(45,1),(153,1)}
        31:{1,2,4,5,6}:{(17,1),(18,1),(21,1),(43,1),(44,1),(45,1),(79,1),(80,1),(123,1),(128,1)}
        32:{1,2,5,7}:{(19,1),(22,1),(43,1),(46,1)}
        33:{1,2,5,7}:{(20,1),(23,1),(44,1),(47,1)}
        34:{3,5,7}:{(21,1),(24,1),(45,1),(48,1)}
        35:{2,3,6,7}:{(22,1),(24,1),(46,1),(54,1)}
        36:{1,3,6,7}:{(23,1),(24,1),(47,1),(75,1)}
        37:{3,4,6,7}:{(24,1),(25,1),(48,1),(52,1),(85,1),(122,1),(161,1),(173,1)}
        38:{1,2,4,5,7}:{(25,1),(52,1),(53,1),(83,1),(84,1),(86,1),(123,1)}
        39:{1,2,4,6}:{(26,1),(27,1),(43,1),(54,1),(79,1)}
        40:{2,3,5,7}:{(27,1),(54,1),(56,1),(91,1),(127,1)}
        41:{2,3,4,6}:{(28,1),(30,1),(57,1),(61,1),(105,1),(147,1)}
        42:{1,2,4,5,7}:{(28,1),(33,1),(57,1),(58,1),(64,1),(97,1),(101,1),(138,1)}
        43:{1,2,5,6}:{(29,1),(32,1),(39,1),(59,1),(112,1)}
        44:{1,2,5,6}:{(30,1),(33,1),(57,1),(60,1),(138,1)}
        45:{3,5,6}:{(31,1),(34,1),(61,1),(143,1),(147,1)}
        46:{2,3,5,7}:{(32,1),(34,1),(35,1),(59,1),(63,1)}
        47:{1,3,5,7}:{(33,1),(34,1),(36,1),(60,1),(64,1)}
        48:{3,4,7}:{(34,1),(61,1),(63,1),(64,1)}
        49:{1,2,3,6,7}:{(35,1),(36,1),(62,1),(66,1),(71,1),(95,1),(147,1),(152,1),(167,1)}
        50:{2,3,4,6,7}:{(35,1),(37,1),(63,1),(66,1),(67,1),(72,1),(103,1),(105,1),(137,1),(147,1),(167,1),(174,1)}
        51:{1,3,4,6,7}:{(36,1),(37,1),(64,1),(66,1),(68,1),(96,1),(103,1),(106,1),(111,1),(147,1),(152,1),(170,1)}
        52:{3,5,7}:{(37,1),(38,1),(69,1),(143,1)}
        53:{1,2,4,5,6}:{(38,1),(69,1),(105,1),(106,1),(108,1)}
        54:{2,3,6}:{(39,1),(40,1),(147,1)}
        55:{1,2,3,5,7}:{(40,1),(71,1),(73,1),(112,1),(114,1)}
        56:{2,3,4,7}:{(40,1),(63,1),(72,1),(73,1),(103,1)}
        57:{1,2,4,6}:{(41,1),(42,1),(44,1),(75,1),(80,1)}
        58:{1,3,5,7}:{(42,1),(75,1),(77,1),(118,1),(127,1)}
        59:{2,3,5,6}:{(43,1),(45,1),(46,1),(54,1),(79,1),(91,1)}
        60:{1,3,5,6}:{(44,1),(45,1),(47,1),(75,1),(80,1),(118,1)}
        61:{3,4,6}:{(45,1),(48,1),(79,1),(80,1),(81,1)}
        62:{1,2,3,5,7}:{(46,1),(47,1),(49,1),(78,1),(82,1),(86,1),(127,1),(163,1),(172,1)}
        63:{2,4,7}:{(46,1),(48,1),(79,1)}
        64:{1,4,7}:{(47,1),(48,1),(80,1)}
        65:{3,4,5,7}:{(48,1),(52,1),(81,1),(83,1),(84,1),(85,1),(127,1),(158,1),(173,1)}
        66:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(82,1),(86,1),(90,1),(117,1),(128,1)}
        67:{2,3,5,7}:{(50,1),(52,1),(83,1),(86,1),(87,1),(91,1),(127,1),(153,1)}
        68:{1,3,5,7}:{(51,1),(52,1),(84,1),(86,1),(88,1),(118,1),(127,1),(132,1)}
        69:{3,5,6}:{(52,1),(53,1),(85,1)}
        70:{1,2,4,5,6,7}:{(53,1),(89,1),(129,1),(130,1),(131,1),(160,1)}
        71:{1,2,3,6}:{(54,1),(55,1),(90,1),(135,1)}
        72:{2,3,4,6}:{(54,1),(56,1),(79,1),(90,1),(91,1),(122,1)}
        73:{1,2,4,7}:{(55,1),(56,1),(90,1),(92,1)}
        74:{2,3,4,5,7}:{(56,1),(83,1),(91,1),(93,1),(94,1),(127,1),(134,1),(158,1),(173,1)}
        75:{1,3,6}:{(57,1),(58,1),(147,1)}
        76:{1,2,3,5,7}:{(58,1),(95,1),(97,1),(138,1),(140,1)}
        77:{1,3,4,7}:{(58,1),(64,1),(96,1),(97,1),(103,1)}
        78:{1,2,3,5,6}:{(59,1),(60,1),(62,1),(71,1),(95,1),(99,1),(108,1),(112,1),(138,1),(143,1),(147,1),(150,1),(165,1)}
        79:{2,4,6}:{(59,1),(61,1),(63,1),(100,1)}
        80:{1,4,6}:{(60,1),(61,1),(64,1),(101,1)}
        81:{3,4,5}:{(61,1),(100,1),(101,1),(143,1)}
        82:{1,2,4,7}:{(62,1),(63,1),(64,1),(99,1),(103,1),(170,1),(174,1)}
        83:{2,4,5,7}:{(63,1),(65,1),(67,1),(100,1),(105,1),(164,1),(174,1)}
        84:{1,4,5,7}:{(64,1),(65,1),(68,1),(101,1),(106,1),(149,1),(170,1)}
        85:{3,4,6}:{(65,1),(69,1),(105,1),(106,1),(147,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(108,1),(112,1),(138,1)}
        87:{2,3,5,6}:{(67,1),(69,1),(105,1),(108,1),(147,1)}
        88:{1,3,5,6}:{(68,1),(69,1),(106,1),(108,1),(147,1)}
        89:{3,5,6,7}:{(69,1),(70,1),(107,1),(169,1)}
        90:{1,2,4,6}:{(71,1),(72,1),(73,1),(111,1),(112,1)}
        91:{2,3,5}:{(72,1),(100,1),(112,1),(143,1)}
        92:{1,3,4,7}:{(73,1),(103,1),(111,1),(114,1),(170,1)}
        93:{1,2,4,5,7}:{(73,1),(74,1),(112,1),(114,1),(115,1),(149,1),(151,1),(170,1)}
        94:{2,3,4,6}:{(74,1),(105,1),(113,1),(115,1),(147,1),(168,1)}
        95:{1,2,3,6}:{(75,1),(76,1),(117,1),(156,1)}
        96:{1,3,4,6}:{(75,1),(77,1),(80,1),(117,1),(118,1),(122,1)}
        97:{1,2,4,7}:{(76,1),(77,1),(117,1),(119,1)}
        98:{1,3,4,5,7}:{(77,1),(84,1),(118,1),(120,1),(121,1),(127,1),(155,1),(158,1),(173,1)}
        99:{1,2,4,6}:{(78,1),(79,1),(80,1),(82,1),(122,1),(123,1),(162,1),(171,1)}
       100:{2,4,5}:{(79,1),(81,1),(91,1)}
       101:{1,4,5}:{(80,1),(81,1),(118,1)}
       102:{3,4,5,6}:{(81,1),(85,1),(124,1),(125,1),(126,1),(159,1)}
       103:{3,4,7}:{(82,1),(122,1),(127,1)}
       104:{1,2,4,5,7}:{(82,1),(83,1),(84,1),(86,1),(123,1),(127,1),(128,1)}
       105:{2,4,6}:{(83,1),(85,1),(87,1)}
       106:{1,4,6}:{(84,1),(85,1),(88,1)}
       107:{3,4,6,7}:{(85,1),(89,1),(126,1),(129,1),(130,1),(161,1),(173,1)}
       108:{1,2,5,6}:{(86,1),(87,1),(88,1),(128,1)}
       109:{2,3,5,6,7}:{(87,1),(89,1),(129,1),(131,1),(134,1),(161,1),(172,1)}
       110:{1,3,5,6,7}:{(88,1),(89,1),(130,1),(131,1),(155,1),(161,1),(163,1)}
       111:{1,3,4,6}:{(90,1),(92,1),(122,1),(132,1),(135,1),(162,1)}
       112:{1,2,5}:{(90,1),(91,1),(132,1)}
       113:{2,3,5,6}:{(91,1),(94,1),(124,1),(133,1),(134,1),(159,1)}
       114:{1,3,5,7}:{(92,1),(93,1),(127,1),(132,1),(135,1)}
       115:{1,2,4,6}:{(93,1),(94,1),(133,1),(135,1),(162,1)}
       116:{2,3,4,6,7}:{(94,1),(129,1),(134,1),(136,1),(161,1),(173,1)}
       117:{1,2,4,6}:{(95,1),(96,1),(97,1),(137,1),(138,1)}
       118:{1,3,5}:{(96,1),(101,1),(138,1),(143,1)}
       119:{2,3,4,7}:{(97,1),(103,1),(137,1),(140,1),(174,1)}
       120:{1,2,4,5,7}:{(97,1),(98,1),(138,1),(140,1),(141,1),(164,1),(166,1),(174,1)}
       121:{1,3,4,6}:{(98,1),(106,1),(139,1),(141,1),(147,1),(168,1)}
       122:{3,4,6}:{(99,1),(103,1),(143,1),(147,1)}
       123:{1,2,4,5}:{(99,1),(100,1),(101,1),(112,1),(138,1),(143,1),(149,1),(164,1)}
       124:{2,4,5,6}:{(100,1),(102,1),(105,1),(113,1),(145,1)}
       125:{1,4,5,6}:{(101,1),(102,1),(106,1),(139,1),(146,1)}
       126:{3,4,5,7}:{(102,1),(107,1),(145,1),(146,1),(169,1)}
       127:{3,5,7}:{(103,1),(104,1),(143,1),(147,1)}
       128:{1,2,4,6}:{(104,1),(105,1),(106,1),(108,1),(147,1)}
       129:{2,4,6,7}:{(105,1),(107,1),(109,1),(145,1),(174,1)}
       130:{1,4,6,7}:{(106,1),(107,1),(110,1),(146,1),(170,1)}
       131:{1,2,5,6,7}:{(108,1),(109,1),(110,1),(148,1),(151,1),(166,1)}
       132:{1,3,5}:{(111,1),(112,1),(143,1),(149,1)}
       133:{1,2,5,6}:{(112,1),(113,1),(115,1),(150,1),(151,1)}
       134:{2,3,5,7}:{(113,1),(116,1),(145,1),(151,1),(169,1)}
       135:{1,3,6}:{(114,1),(115,1),(147,1)}
       136:{1,2,4,6,7}:{(115,1),(116,1),(151,1),(152,1),(170,1)}
       137:{2,3,4,6}:{(117,1),(119,1),(122,1),(153,1),(156,1),(171,1)}
       138:{1,2,5}:{(117,1),(118,1),(153,1)}
       139:{1,3,5,6}:{(118,1),(121,1),(125,1),(154,1),(155,1),(159,1)}
       140:{2,3,5,7}:{(119,1),(120,1),(127,1),(153,1),(156,1)}
       141:{1,2,4,6}:{(120,1),(121,1),(154,1),(156,1),(171,1)}
       142:{1,3,4,6,7}:{(121,1),(130,1),(155,1),(157,1),(161,1),(173,1)}
       143:{3,5}:{(122,1),(123,1)}
       144:{1,2,4,5,6}:{(123,1),(124,1),(125,1),(128,1),(133,1),(154,1),(159,1),(160,1),(162,1),(171,1)}
       145:{2,4,5,7}:{(124,1),(126,1),(129,1),(134,1)}
       146:{1,4,5,7}:{(125,1),(126,1),(130,1),(155,1)}
       147:{3,6}:{(127,1),(128,1)}
       148:{1,2,4,6,7}:{(128,1),(129,1),(130,1),(131,1),(160,1),(161,1)}
       149:{1,4,5}:{(132,1),(158,1),(162,1)}
       150:{1,3,5,6}:{(132,1),(133,1),(135,1),(159,1),(162,1),(163,1)}
       151:{1,2,5,7}:{(133,1),(134,1),(136,1),(163,1)}
       152:{1,3,6,7}:{(135,1),(136,1),(161,1),(163,1)}
       153:{2,3,5}:{(137,1),(138,1),(143,1),(164,1)}
       154:{1,2,5,6}:{(138,1),(139,1),(141,1),(165,1),(166,1)}
       155:{1,3,5,7}:{(139,1),(142,1),(146,1),(166,1),(169,1)}
       156:{2,3,6}:{(140,1),(141,1),(147,1)}
       157:{1,2,4,6,7}:{(141,1),(142,1),(166,1),(167,1),(174,1)}
       158:{3,4,5}:{(143,1),(149,1),(164,1),(168,1)}
       159:{3,5,6}:{(143,1),(144,1),(147,1),(168,1),(169,1)}
       160:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(148,1),(151,1),(166,1),(169,1),(170,1),(174,1)}
       161:{3,6,7}:{(147,1),(148,1),(169,1)}
       162:{1,4,6}:{(149,1),(150,1),(168,1),(170,1)}
       163:{1,3,5,7}:{(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:{1,2,5,7}:{(154,1),(155,1),(157,1),(172,1)}
       167:{2,3,6,7}:{(156,1),(157,1),(161,1),(172,1)}
       168:{3,4,6}:{(158,1),(159,1),(162,1),(171,1),(173,1)}
       169:{3,5,7}:{(159,1),(160,1),(161,1),(173,1)}
       170:{1,4,7}:{(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:{3,4,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,4,7}:{(171,1),(172,1),(173,1)}

1627 :   0:{3,4,5,6,7}:{(1,1),(2,1),(13,1),(89,1)}
         1:{1,4,5,6,7}:{(0,1),(4,1),(96,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(98,1)}
         3:{2,3,4,5,6}:{(7,1),(8,1),(46,1),(49,1),(99,1)}
         4:{1,3,5,6,7}:{(1,1),(9,1),(11,1),(13,1),(85,1)}
         5:{2,3,5,6,7}:{(2,1),(10,1),(12,1),(13,1),(87,1)}
         6:{1,2,4,5,6,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(30,1),(31,1),(59,1)}
         7:{2,3,4,5,7}:{(3,1),(10,1),(14,1),(32,1),(62,1),(87,1)}
         8:{1,2,4,5,6}:{(3,1),(14,1),(15,1),(35,1),(61,1),(88,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(21,1)}
        10:{2,3,4,6,7}:{(5,1),(7,1),(18,1),(21,1)}
        11:{1,2,5,6,7}:{(4,1),(17,1),(19,1),(71,1)}
        12:{1,2,5,6,7}:{(5,1),(18,1),(20,1),(74,1)}
        13:{3,5,6,7}:{(6,1),(21,1),(76,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(18,1),(22,1),(45,1),(47,1),(74,1)}
        15:{1,3,5,6}:{(8,1),(22,1),(24,1)}
        16:{1,3,4,5,7}:{(9,1),(25,1),(26,1),(32,1),(82,1),(85,1)}
        17:{1,2,4,6,7}:{(9,1),(11,1),(26,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(10,1),(12,1),(14,1),(28,1),(31,1)}
        19:{2,3,5,6,7}:{(11,1),(13,1),(27,1),(30,1),(55,1)}
        20:{1,3,5,6,7}:{(12,1),(13,1),(28,1),(31,1),(57,1)}
        21:{3,4,6,7}:{(13,1),(30,1),(31,1),(32,1)}
        22:{1,3,5,7}:{(14,1),(15,1),(28,1),(34,1)}
        23:{1,2,3,5,6}:{(15,1),(33,1),(35,1),(65,1),(88,1),(91,1)}
        24:{1,3,4,6}:{(15,1),(34,1),(35,1),(36,1)}
        25:{1,3,4,5,6}:{(16,1),(37,1),(46,1),(92,1),(97,1)}
        26:{1,2,4,5,7}:{(16,1),(17,1),(37,1),(38,1),(44,1),(68,1),(71,1)}
        27:{2,3,6,7}:{(17,1),(38,1)}
        28:{1,3,6,7}:{(18,1),(22,1)}
        29:{1,2,3,5,6,7}:{(19,1),(20,1),(39,1),(41,1),(43,1),(71,1),(74,1),(76,1),(97,1),(99,1)}
        30:{2,4,6,7}:{(19,1),(21,1),(44,1)}
        31:{1,4,6,7}:{(20,1),(21,1),(45,1)}
        32:{3,4,5,7}:{(21,1),(44,1),(45,1),(46,1),(76,1)}
        33:{1,2,3,5,7}:{(22,1),(23,1),(41,1),(47,1),(74,1),(78,1)}
        34:{1,3,4,7}:{(22,1),(24,1),(47,1)}
        35:{1,2,4,6}:{(23,1),(24,1),(47,1),(49,1),(50,1)}
        36:{1,3,4,5}:{(24,1),(50,1)}
        37:{1,2,4,5,6}:{(25,1),(26,1),(51,1),(60,1),(80,1),(86,1)}
        38:{2,3,5,7}:{(26,1),(27,1),(51,1),(53,1)}
        39:{1,2,3,6,7}:{(27,1),(52,1),(54,1),(102,1)}
        40:{2,3,4,6,7}:{(27,1),(30,1),(53,1),(54,1),(55,1),(58,1),(84,1)}
        41:{1,2,3,6,7}:{(28,1),(33,1),(56,1),(91,1)}
        42:{1,3,4,6,7}:{(28,1),(31,1),(34,1),(56,1),(57,1),(58,1),(64,1)}
        43:{1,2,4,6,7}:{(29,1),(30,1),(31,1),(58,1),(59,1),(103,1),(104,1)}
        44:{2,4,5,7}:{(30,1),(32,1),(55,1),(60,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(57,1),(61,1)}
        46:{3,4,5,6}:{(32,1),(60,1),(61,1),(90,1)}
        47:{1,2,4,7}:{(33,1),(34,1),(35,1),(62,1)}
        48:{1,3,4,5,7}:{(34,1),(36,1),(57,1),(63,1),(64,1),(89,1)}
        49:{2,3,4,6}:{(35,1),(62,1),(65,1),(91,1)}
        50:{1,2,4,5}:{(35,1),(36,1),(65,1)}
        51:{2,3,5,6}:{(37,1),(38,1),(67,1)}
        52:{1,2,3,5,7}:{(38,1),(39,1),(66,1),(68,1),(71,1),(94,1)}
        53:{2,3,4,7}:{(38,1),(67,1),(68,1)}
        54:{1,2,4,6,7}:{(39,1),(40,1),(68,1),(70,1),(71,1),(95,1)}
        55:{2,3,5,7}:{(40,1),(44,1),(71,1),(72,1),(76,1)}
        56:{1,2,4,6,7}:{(41,1),(42,1),(47,1),(73,1),(74,1),(79,1)}
        57:{1,3,5,7}:{(42,1),(45,1),(74,1),(75,1),(76,1)}
        58:{3,4,6,7}:{(43,1),(76,1),(100,1)}
        59:{1,2,4,5,7}:{(43,1),(44,1),(45,1),(71,1),(74,1),(76,1),(77,1),(96,1),(98,1)}
        60:{2,4,5,6}:{(44,1),(46,1),(72,1)}
        61:{1,4,5,6}:{(45,1),(46,1),(75,1)}
        62:{2,3,4,7}:{(47,1),(49,1),(78,1)}
        63:{1,2,4,5,7}:{(47,1),(48,1),(50,1),(74,1),(78,1),(79,1),(98,1)}
        64:{1,3,4,6}:{(48,1),(75,1),(79,1),(100,1)}
        65:{2,3,5}:{(49,1),(50,1)}
        66:{1,2,3,5,6}:{(51,1),(52,1),(80,1),(86,1),(101,1),(102,1)}
        67:{2,3,4,6}:{(51,1),(53,1),(80,1),(81,1)}
        68:{1,2,4,7}:{(52,1),(53,1),(80,1),(82,1)}
        69:{2,3,4,5,7}:{(53,1),(55,1),(81,1),(83,1),(84,1),(89,1)}
        70:{1,3,4,6,7}:{(54,1),(58,1),(82,1),(85,1),(102,1),(103,1)}
        71:{1,2,5,7}:{(54,1),(55,1),(85,1),(86,1)}
        72:{2,3,5,6}:{(55,1),(60,1),(84,1),(86,1),(90,1)}
        73:{2,3,4,6,7}:{(56,1),(58,1),(62,1),(87,1),(91,1),(104,1)}
        74:{1,2,5,7}:{(56,1),(57,1),(87,1),(88,1)}
        75:{1,3,5,6}:{(57,1),(61,1),(64,1),(88,1),(90,1)}
        76:{3,5,7}:{(58,1),(59,1),(90,1)}
        77:{1,2,4,5,6}:{(59,1),(60,1),(61,1),(86,1),(88,1),(90,1),(103,1),(104,1)}
        78:{2,3,5,7}:{(62,1),(63,1),(65,1),(91,1)}
        79:{1,2,4,6}:{(63,1),(64,1),(88,1),(91,1),(104,1)}
        80:{1,2,4,6}:{(66,1),(67,1),(68,1),(92,1),(93,1)}
        81:{2,3,4,5}:{(67,1),(93,1)}
        82:{1,3,4,7}:{(68,1),(92,1),(94,1)}
        83:{1,2,4,5,7}:{(68,1),(69,1),(71,1),(93,1),(94,1),(95,1),(96,1)}
        84:{2,3,4,6}:{(69,1),(72,1),(95,1),(100,1)}
        85:{1,3,5,7}:{(70,1),(71,1),(76,1),(96,1),(97,1)}
        86:{1,2,5,6}:{(71,1),(72,1),(95,1),(97,1)}
        87:{2,3,5,7}:{(73,1),(74,1),(76,1),(98,1),(99,1)}
        88:{1,2,5,6}:{(74,1),(75,1),(79,1),(99,1)}
        89:{3,4,5,7}:{(76,1),(96,1),(98,1),(100,1)}
        90:{3,5,6}:{(76,1),(77,1),(100,1)}
        91:{2,3,6}:{(78,1),(79,1)}
        92:{1,3,4,6}:{(80,1),(82,1),(101,1),(102,1)}
        93:{1,2,4,5}:{(80,1),(81,1),(101,1)}
        94:{1,3,5,7}:{(82,1),(83,1),(101,1),(102,1)}
        95:{1,2,4,6}:{(83,1),(84,1),(86,1),(102,1),(103,1)}
        96:{1,4,5,7}:{(85,1),(89,1),(103,1)}
        97:{1,3,5,6}:{(85,1),(86,1),(90,1),(102,1),(103,1)}
        98:{2,4,5,7}:{(87,1),(89,1),(104,1)}
        99:{2,3,5,6}:{(87,1),(88,1),(90,1),(91,1),(104,1)}
       100:{3,4,6}:{(89,1),(90,1),(103,1),(104,1)}
       101:{1,3,5}:{(92,1),(93,1)}
       102:{1,3,6}:{(94,1),(95,1)}
       103:{1,4,6}:{(96,1),(97,1),(100,1)}
       104:{2,4,6}:{(98,1),(99,1),(100,1)}

1628 :   0:{1,3,4,6,7}:{(3,1),(4,1),(18,1),(21,1),(54,1),(57,1),(59,1),(91,1),(95,1),(116,1),(123,1)}
         1:{1,3,5,6,7}:{(6,1),(7,1),(9,1),(32,1),(34,1),(62,1),(72,1)}
         2:{2,3,5,6,7}:{(6,1),(8,1),(25,1),(33,1),(34,1),(37,1),(73,1)}
         3:{1,2,4,6,7}:{(0,1),(10,1),(11,1),(35,1),(38,1),(40,1),(74,1),(110,1),(128,1)}
         4:{1,3,5,7}:{(0,1),(9,1),(11,1),(12,1),(32,1),(41,1),(111,1),(126,1)}
         5:{2,3,4,6,7}:{(13,1),(14,1),(19,1),(44,1),(55,1),(83,1),(85,1),(92,1),(96,1),(117,1),(123,1)}
         6:{1,2,5,6,7}:{(1,1),(2,1),(17,1),(20,1),(43,1),(52,1),(53,1),(93,1)}
         7:{1,4,6,7}:{(1,1),(15,1),(18,1),(21,1),(82,1),(91,1)}
         8:{2,4,6,7}:{(2,1),(16,1),(19,1),(44,1),(56,1),(92,1)}
         9:{1,3,5,6}:{(4,1),(20,1),(21,1),(49,1),(57,1)}
        10:{2,3,6,7}:{(3,1),(22,1),(57,1),(123,1),(134,1)}
        11:{1,2,5,7}:{(3,1),(4,1),(20,1),(22,1),(52,1),(133,1)}
        12:{1,4,5,7}:{(4,1),(21,1),(24,1),(91,1),(120,1)}
        13:{1,2,4,6,7}:{(5,1),(26,1),(27,1),(36,1),(63,1),(65,1),(74,1),(110,1),(113,1)}
        14:{2,3,5,7}:{(5,1),(25,1),(27,1),(28,1),(33,1),(66,1),(112,1),(127,1)}
        15:{1,4,5,7}:{(7,1),(29,1),(32,1),(99,1)}
        16:{2,4,5,7}:{(8,1),(30,1),(33,1),(75,1)}
        17:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(31,1),(34,1),(35,1),(36,1),(38,1),(63,1),(74,1),(110,1)}
        18:{3,4,6,7}:{(7,1),(32,1),(34,1),(35,1),(39,1),(71,1),(100,1)}
        19:{3,4,6,7}:{(8,1),(33,1),(34,1),(36,1),(64,1),(71,1),(76,1)}
        20:{1,2,5,6}:{(9,1),(11,1),(37,1),(38,1),(69,1),(111,1)}
        21:{1,4,6}:{(9,1),(12,1),(39,1)}
        22:{2,3,5,7}:{(10,1),(11,1),(37,1),(40,1),(41,1),(137,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(42,1),(75,1),(79,1),(81,1),(110,1),(111,1),(130,1)}
        24:{3,4,5,7}:{(12,1),(32,1),(39,1),(41,1),(42,1),(71,1),(106,1)}
        25:{2,3,5,6}:{(14,1),(43,1),(44,1),(50,1),(83,1)}
        26:{1,3,6,7}:{(13,1),(45,1),(83,1),(123,1),(125,1)}
        27:{1,2,5,7}:{(13,1),(14,1),(43,1),(45,1),(53,1),(124,1)}
        28:{2,4,5,7}:{(14,1),(44,1),(47,1),(92,1),(121,1)}
        29:{1,4,5,6}:{(15,1),(21,1),(49,1)}
        30:{2,4,5,6}:{(16,1),(44,1),(50,1)}
        31:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(48,1),(51,1),(52,1),(53,1),(91,1),(92,1),(93,1)}
        32:{3,5,7}:{(15,1),(18,1),(49,1),(52,1),(115,1)}
        33:{3,5,7}:{(16,1),(19,1),(50,1),(53,1),(94,1)}
        34:{3,6,7}:{(17,1),(51,1),(57,1),(83,1),(123,1)}
        35:{2,4,6,7}:{(18,1),(52,1),(55,1),(58,1),(92,1),(117,1)}
        36:{1,4,6,7}:{(19,1),(53,1),(54,1),(84,1),(91,1),(95,1)}
        37:{2,3,5,6}:{(20,1),(22,1),(56,1),(57,1),(94,1)}
        38:{1,2,4,6}:{(20,1),(21,1),(23,1),(56,1),(57,1),(58,1),(95,1),(97,1)}
        39:{3,4,6}:{(21,1),(24,1),(49,1),(57,1),(58,1)}
        40:{2,4,7}:{(22,1),(56,1),(59,1),(139,1)}
        41:{3,5,7}:{(23,1),(57,1),(59,1),(94,1),(123,1),(135,1)}
        42:{2,4,5,7}:{(24,1),(52,1),(58,1),(61,1),(92,1),(121,1)}
        43:{1,2,5,6}:{(25,1),(27,1),(62,1),(63,1),(70,1),(127,1)}
        44:{2,4,6}:{(25,1),(28,1),(64,1)}
        45:{1,3,5,7}:{(26,1),(27,1),(62,1),(65,1),(66,1),(132,1)}
        46:{1,2,4,5,7}:{(27,1),(28,1),(63,1),(65,1),(66,1),(67,1),(99,1),(104,1),(105,1),(110,1),(127,1),(130,1)}
        47:{3,4,5,7}:{(28,1),(33,1),(64,1),(66,1),(67,1),(71,1),(106,1)}
        48:{1,2,4,5,6}:{(29,1),(30,1),(31,1),(38,1),(63,1),(68,1),(69,1),(70,1),(75,1),(99,1),(107,1),(108,1),(109,1),(111,1),(127,1),(130,1)}
        49:{3,5,6}:{(29,1),(32,1),(39,1),(69,1)}
        50:{3,5,6}:{(30,1),(33,1),(64,1),(70,1)}
        51:{3,5,7}:{(31,1),(34,1),(68,1),(71,1)}
        52:{2,5,7}:{(32,1),(35,1),(69,1),(127,1)}
        53:{1,5,7}:{(33,1),(36,1),(70,1),(111,1)}
        54:{1,3,6,7}:{(34,1),(36,1),(72,1),(74,1),(77,1),(101,1)}
        55:{2,3,6,7}:{(34,1),(35,1),(73,1),(74,1),(78,1),(102,1)}
        56:{2,4,6}:{(37,1),(40,1),(75,1),(76,1)}
        57:{3,6}:{(38,1),(41,1)}
        58:{2,4,6}:{(39,1),(42,1),(69,1),(78,1)}
        59:{3,4,7}:{(40,1),(41,1),(76,1),(79,1),(138,1)}
        60:{1,3,5,7}:{(41,1),(77,1),(79,1),(81,1),(111,1),(114,1),(132,1)}
        61:{2,3,5,7}:{(41,1),(42,1),(78,1),(80,1),(81,1),(112,1)}
        62:{1,3,5,6}:{(43,1),(45,1),(82,1),(83,1),(115,1)}
        63:{1,2,4,6}:{(43,1),(44,1),(46,1),(82,1),(83,1),(84,1),(117,1),(118,1)}
        64:{3,4,6}:{(44,1),(47,1),(50,1),(83,1),(84,1)}
        65:{1,4,7}:{(45,1),(82,1),(85,1),(136,1)}
        66:{3,5,7}:{(46,1),(83,1),(85,1),(115,1),(123,1),(135,1)}
        67:{1,4,5,7}:{(47,1),(53,1),(84,1),(86,1),(91,1),(120,1)}
        68:{3,5,6}:{(48,1),(51,1),(57,1),(83,1),(88,1),(94,1),(115,1),(135,1)}
        69:{2,5,6}:{(49,1),(52,1),(58,1)}
        70:{1,5,6}:{(50,1),(53,1),(84,1)}
        71:{3,4,7}:{(51,1),(88,1),(91,1),(92,1),(123,1)}
        72:{1,3,5,7}:{(51,1),(53,1),(54,1),(89,1),(91,1),(93,1),(123,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(55,1),(90,1),(92,1),(93,1),(123,1)}
        74:{1,2,6,7}:{(54,1),(55,1),(93,1),(97,1),(118,1)}
        75:{2,4,5}:{(56,1),(94,1)}
        76:{3,4,6}:{(56,1),(57,1),(59,1),(94,1),(95,1)}
        77:{1,3,6}:{(57,1),(60,1),(95,1),(97,1)}
        78:{2,3,6}:{(57,1),(58,1),(61,1),(97,1)}
        79:{1,4,7}:{(59,1),(60,1),(95,1),(136,1)}
        80:{2,3,4,7}:{(59,1),(61,1),(92,1),(96,1),(98,1),(123,1)}
        81:{1,2,5,7}:{(60,1),(61,1),(97,1),(98,1),(124,1)}
        82:{1,4,6}:{(62,1),(65,1),(99,1),(100,1)}
        83:{3,6}:{(63,1),(66,1)}
        84:{1,4,6}:{(64,1),(67,1),(70,1),(101,1)}
        85:{3,4,7}:{(65,1),(66,1),(100,1),(104,1),(138,1)}
        86:{1,3,5,7}:{(66,1),(67,1),(101,1),(103,1),(105,1),(126,1)}
        87:{2,3,5,7}:{(66,1),(102,1),(104,1),(105,1),(127,1),(129,1),(137,1)}
        88:{3,4,6}:{(68,1),(71,1),(106,1),(107,1),(108,1),(131,1),(138,1)}
        89:{1,3,5,6}:{(68,1),(70,1),(72,1),(77,1),(101,1),(107,1),(109,1),(111,1),(126,1),(131,1),(132,1)}
        90:{2,3,5,6}:{(68,1),(69,1),(73,1),(78,1),(102,1),(108,1),(109,1),(112,1),(127,1),(131,1),(137,1)}
        91:{1,4,7}:{(71,1),(72,1),(107,1)}
        92:{2,4,7}:{(71,1),(73,1),(108,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(109,1),(110,1)}
        94:{3,5}:{(75,1),(76,1),(111,1)}
        95:{1,4,6}:{(76,1),(77,1),(79,1),(111,1)}
        96:{2,3,4,6}:{(76,1),(78,1),(80,1),(108,1),(112,1),(113,1),(131,1),(138,1)}
        97:{1,2,6}:{(77,1),(78,1),(81,1)}
        98:{1,2,4,7}:{(79,1),(80,1),(81,1),(113,1),(114,1)}
        99:{1,4,5}:{(82,1),(115,1)}
       100:{3,4,6}:{(82,1),(83,1),(85,1),(115,1),(117,1)}
       101:{1,3,6}:{(83,1),(84,1),(86,1),(118,1)}
       102:{2,3,6}:{(83,1),(87,1),(117,1),(118,1)}
       103:{1,3,4,7}:{(85,1),(86,1),(91,1),(116,1),(119,1),(123,1)}
       104:{2,4,7}:{(85,1),(87,1),(117,1),(139,1)}
       105:{1,2,5,7}:{(86,1),(87,1),(118,1),(119,1),(133,1)}
       106:{3,4,5}:{(88,1),(94,1),(115,1),(120,1),(121,1),(135,1)}
       107:{1,4,6}:{(88,1),(89,1),(91,1),(120,1),(136,1)}
       108:{2,4,6}:{(88,1),(90,1),(92,1),(121,1),(139,1)}
       109:{1,2,5,6}:{(89,1),(90,1),(93,1),(97,1),(118,1),(122,1),(124,1),(133,1)}
       110:{1,2,4,7}:{(91,1),(92,1),(93,1),(122,1),(123,1)}
       111:{1,5}:{(94,1),(95,1)}
       112:{2,3,5}:{(94,1),(96,1),(121,1),(124,1),(135,1)}
       113:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(124,1),(125,1),(136,1)}
       114:{1,3,7}:{(98,1),(123,1),(125,1)}
       115:{3,5}:{(99,1),(100,1),(127,1)}
       116:{1,3,4,6}:{(100,1),(101,1),(103,1),(107,1),(126,1),(128,1),(131,1),(138,1)}
       117:{2,4,6}:{(100,1),(102,1),(104,1),(127,1)}
       118:{1,2,6}:{(101,1),(102,1),(105,1)}
       119:{1,2,4,7}:{(103,1),(104,1),(105,1),(128,1),(129,1)}
       120:{1,4,5}:{(106,1),(107,1),(111,1),(126,1)}
       121:{2,4,5}:{(106,1),(108,1),(112,1),(127,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(110,1),(130,1),(131,1)}
       123:{3,7}:{(110,1),(131,1)}
       124:{1,2,5}:{(111,1),(112,1),(113,1),(132,1)}
       125:{1,3,6}:{(113,1),(114,1),(131,1),(132,1)}
       126:{1,3,5}:{(115,1),(116,1),(120,1),(133,1),(135,1)}
       127:{2,5}:{(115,1),(117,1)}
       128:{1,2,4,6}:{(116,1),(117,1),(118,1),(119,1),(133,1),(134,1),(139,1)}
       129:{2,3,7}:{(119,1),(123,1),(134,1)}
       130:{1,2,4,5}:{(120,1),(121,1),(122,1),(124,1),(133,1),(135,1),(136,1),(139,1)}
       131:{3,6}:{(122,1),(123,1),(135,1)}
       132:{1,3,5}:{(124,1),(125,1),(135,1),(136,1)}
       133:{1,2,5}:{(126,1),(127,1),(128,1),(137,1)}
       134:{2,3,6}:{(128,1),(129,1),(131,1),(137,1)}
       135:{3,5}:{(130,1),(131,1),(138,1)}
       136:{1,4}:{(132,1),(138,1)}
       137:{2,3,5}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,4}:{(135,1),(136,1),(139,1)}
       139:{2,4}:{(137,1),(138,1)}

1629 :   0:{1,3,4,5,7}:{(1,1),(2,1),(15,1),(51,1),(111,1),(127,1),(131,1),(164,1),(171,1),(179,1)}
         1:{1,3,4,6}:{(0,1),(7,1),(8,1),(99,1),(186,1),(191,1),(195,1)}
         2:{1,2,4,5,7}:{(0,1),(8,1),(9,1),(29,1),(37,1),(88,1),(96,1),(100,1)}
         3:{2,3,4,5,7}:{(10,1),(11,1),(21,1),(45,1),(69,1),(128,1),(163,1),(167,1),(171,1),(199,1)}
         4:{1,4,5,6,7}:{(13,1),(59,1),(198,1)}
         5:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(59,1),(124,1),(127,1),(176,1)}
         6:{3,4,5,6}:{(14,1),(17,1),(18,1),(67,1),(167,1),(200,1)}
         7:{1,3,5,6}:{(1,1),(15,1),(17,1),(19,1),(67,1),(111,1),(204,1)}
         8:{1,2,4,6}:{(1,1),(2,1),(19,1),(20,1),(68,1)}
         9:{2,3,5,7}:{(2,1),(20,1),(21,1),(69,1),(171,1)}
        10:{2,3,4,6}:{(3,1),(25,1),(26,1),(140,1),(157,1),(191,1),(207,1)}
        11:{1,2,4,5,7}:{(3,1),(26,1),(27,1),(29,1),(75,1),(88,1),(137,1),(141,1)}
        12:{1,2,3,5,7}:{(9,1),(27,1),(28,1),(29,1),(88,1)}
        13:{3,5,6,7}:{(4,1),(32,1),(34,1),(206,1)}
        14:{3,4,5,7}:{(6,1),(32,1),(35,1),(36,1),(95,1)}
        15:{1,3,5,7}:{(5,1),(7,1),(35,1),(37,1),(95,1),(193,1)}
        16:{1,2,4,6,7}:{(5,1),(8,1),(37,1),(38,1),(96,1)}
        17:{1,4,5,6}:{(6,1),(7,1),(35,1),(141,1),(186,1)}
        18:{2,4,5,6}:{(6,1),(36,1),(39,1),(187,1),(207,1)}
        19:{1,2,5,6}:{(7,1),(8,1),(37,1),(41,1),(88,1)}
        20:{2,3,6}:{(8,1),(9,1),(191,1)}
        21:{2,3,4,7}:{(9,1),(29,1),(42,1),(96,1),(144,1)}
        22:{2,4,5,6,7}:{(43,1),(102,1),(178,1)}
        23:{2,3,4,6,7}:{(10,1),(45,1),(46,1),(102,1),(160,1),(163,1),(196,1)}
        24:{3,4,5,6}:{(44,1),(47,1),(48,1),(109,1),(131,1),(180,1)}
        25:{2,3,5,6}:{(10,1),(45,1),(48,1),(49,1),(69,1),(109,1),(209,1)}
        26:{1,2,4,6}:{(10,1),(11,1),(49,1),(50,1),(110,1)}
        27:{1,3,5,7}:{(11,1),(50,1),(51,1),(111,1),(171,1)}
        28:{1,2,3,6}:{(12,1),(20,1),(50,1),(56,1)}
        29:{1,2,4,7}:{(12,1),(21,1),(51,1),(56,1)}
        30:{1,3,4,5}:{(53,1),(57,1),(122,1),(167,1),(175,1)}
        31:{2,3,4,5}:{(54,1),(58,1),(121,1),(131,1),(174,1)}
        32:{3,4,6,7}:{(13,1),(14,1),(59,1),(60,1),(124,1),(200,1)}
        33:{1,3,5,6,7}:{(13,1),(15,1),(59,1),(61,1),(124,1),(165,1)}
        34:{2,5,6,7}:{(13,1),(60,1),(209,1)}
        35:{1,4,5,7}:{(14,1),(15,1),(17,1),(59,1)}
        36:{2,4,5,7}:{(14,1),(18,1),(60,1),(62,1)}
        37:{1,2,5,7}:{(15,1),(16,1),(19,1),(64,1)}
        38:{2,3,6,7}:{(16,1),(20,1),(64,1),(124,1)}
        39:{2,3,5,6}:{(18,1),(54,1),(62,1),(66,1),(67,1),(174,1),(202,1)}
        40:{1,2,4,5,6}:{(17,1),(18,1),(19,1),(63,1),(66,1),(67,1),(68,1),(119,1),(130,1),(172,1),(178,1),(204,1)}
        41:{2,3,5,6}:{(19,1),(20,1),(64,1),(67,1),(68,1),(69,1)}
        42:{2,3,4,6}:{(20,1),(21,1),(56,1),(68,1),(69,1),(118,1)}
        43:{3,5,6,7}:{(22,1),(70,1),(71,1),(194,1)}
        44:{3,4,5,7}:{(24,1),(70,1),(73,1),(74,1),(136,1)}
        45:{2,3,5,7}:{(23,1),(25,1),(74,1),(75,1),(136,1),(205,1)}
        46:{1,2,4,6,7}:{(23,1),(26,1),(75,1),(76,1),(137,1)}
        47:{1,4,5,6}:{(24,1),(73,1),(77,1),(158,1),(195,1)}
        48:{2,4,5,6}:{(24,1),(25,1),(74,1),(100,1),(157,1)}
        49:{1,2,5,6}:{(25,1),(26,1),(75,1),(79,1),(88,1)}
        50:{1,3,6}:{(26,1),(27,1),(191,1)}
        51:{1,3,4,7}:{(27,1),(29,1),(80,1),(137,1),(144,1)}
        52:{1,2,3,6,7}:{(28,1),(38,1),(76,1),(83,1),(84,1),(152,1),(181,1),(191,1),(208,1)}
        53:{1,3,4,6}:{(30,1),(77,1),(81,1),(85,1),(140,1)}
        54:{2,3,4,6}:{(31,1),(39,1),(82,1),(86,1),(99,1)}
        55:{1,2,3,5,6}:{(28,1),(41,1),(79,1),(83,1),(87,1),(88,1),(98,1),(139,1),(146,1),(147,1),(150,1),(191,1),(192,1),(208,1)}
        56:{1,2,4,6}:{(28,1),(29,1),(42,1),(80,1),(88,1)}
        57:{1,2,4,5}:{(30,1),(85,1),(89,1),(151,1),(187,1),(192,1)}
        58:{1,2,4,5}:{(31,1),(86,1),(90,1),(151,1),(158,1),(192,1)}
        59:{1,4,6,7}:{(32,1),(33,1),(35,1),(186,1)}
        60:{2,4,6,7}:{(32,1),(34,1),(36,1),(91,1),(207,1)}
        61:{1,2,5,6,7}:{(33,1),(34,1),(37,1),(92,1),(93,1),(146,1),(193,1)}
        62:{2,3,5,7}:{(36,1),(39,1),(82,1),(91,1),(94,1),(95,1)}
        63:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(40,1),(92,1),(94,1),(95,1),(96,1),(154,1),(155,1),(193,1)}
        64:{2,3,5,7}:{(37,1),(38,1),(41,1),(95,1),(96,1)}
        65:{2,3,4,6,7}:{(38,1),(42,1),(84,1),(96,1),(97,1),(144,1),(153,1),(157,1),(191,1)}
        66:{1,2,5,6}:{(39,1),(86,1),(94,1),(98,1),(192,1),(208,1)}
        67:{3,5,6}:{(40,1),(95,1),(99,1),(150,1),(191,1)}
        68:{2,4,6}:{(41,1),(96,1),(99,1),(100,1)}
        69:{2,3,5}:{(42,1),(88,1),(100,1),(150,1)}
        70:{3,4,6,7}:{(43,1),(44,1),(101,1),(102,1),(160,1),(180,1)}
        71:{1,5,6,7}:{(43,1),(101,1),(204,1)}
        72:{2,3,5,6,7}:{(43,1),(45,1),(102,1),(103,1),(129,1),(160,1)}
        73:{1,4,5,7}:{(44,1),(47,1),(101,1),(104,1)}
        74:{2,4,5,7}:{(44,1),(45,1),(48,1),(102,1)}
        75:{1,2,5,7}:{(45,1),(46,1),(49,1),(106,1)}
        76:{1,3,6,7}:{(46,1),(50,1),(106,1),(160,1)}
        77:{1,3,5,6}:{(47,1),(53,1),(104,1),(108,1),(109,1),(175,1),(203,1)}
        78:{1,2,4,5,6}:{(47,1),(48,1),(49,1),(105,1),(108,1),(109,1),(110,1),(119,1),(166,1),(172,1),(198,1),(209,1)}
        79:{1,3,5,6}:{(49,1),(50,1),(106,1),(109,1),(110,1),(111,1)}
        80:{1,3,4,6}:{(50,1),(51,1),(56,1),(110,1),(111,1),(118,1)}
        81:{1,3,4,7}:{(53,1),(104,1),(112,1),(163,1)}
        82:{2,3,4,7}:{(54,1),(62,1),(113,1),(127,1)}
        83:{1,2,3,5,7}:{(52,1),(55,1),(64,1),(106,1),(114,1),(115,1),(126,1),(162,1),(168,1),(171,1),(201,1)}
        84:{1,2,4,6,7}:{(52,1),(56,1),(65,1),(107,1),(114,1),(115,1),(172,1),(176,1),(196,1)}
        85:{1,2,4,6}:{(53,1),(57,1),(108,1),(112,1),(116,1),(166,1)}
        86:{1,2,4,6}:{(54,1),(58,1),(66,1),(113,1),(117,1),(130,1)}
        87:{1,2,4,6}:{(55,1),(68,1),(110,1),(114,1),(118,1),(119,1),(130,1),(166,1)}
        88:{1,2,5}:{(56,1),(69,1),(111,1)}
        89:{2,3,5}:{(57,1),(116,1),(121,1)}
        90:{1,3,5}:{(58,1),(117,1),(122,1)}
        91:{2,3,6,7}:{(60,1),(62,1),(123,1),(124,1),(202,1)}
        92:{1,2,4,6,7}:{(59,1),(60,1),(61,1),(63,1),(123,1),(124,1),(125,1),(172,1),(176,1)}
        93:{2,3,5,6,7}:{(61,1),(64,1),(124,1),(125,1),(129,1),(177,1)}
        94:{1,2,5,7}:{(62,1),(66,1),(113,1),(123,1),(126,1)}
        95:{3,5,7}:{(63,1),(67,1),(124,1),(127,1)}
        96:{2,4,7}:{(64,1),(68,1),(127,1)}
        97:{2,3,5,7}:{(65,1),(69,1),(115,1),(128,1),(129,1),(171,1),(177,1)}
        98:{1,3,5,6}:{(66,1),(67,1),(117,1),(126,1),(130,1),(175,1),(203,1),(204,1)}
        99:{3,4,6}:{(67,1),(68,1),(127,1),(130,1),(131,1)}
       100:{2,4,5}:{(68,1),(69,1),(131,1)}
       101:{1,4,6,7}:{(70,1),(71,1),(73,1),(132,1),(195,1)}
       102:{2,4,6,7}:{(70,1),(72,1),(74,1),(157,1)}
       103:{1,2,5,6,7}:{(71,1),(72,1),(75,1),(133,1),(134,1),(146,1),(205,1)}
       104:{1,3,5,7}:{(73,1),(77,1),(81,1),(132,1),(135,1),(136,1)}
       105:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(78,1),(133,1),(135,1),(136,1),(137,1),(183,1),(184,1),(205,1)}
       106:{1,3,5,7}:{(75,1),(76,1),(79,1),(136,1),(137,1)}
       107:{1,3,4,6,7}:{(76,1),(80,1),(84,1),(137,1),(138,1),(144,1),(182,1),(186,1),(191,1)}
       108:{1,2,5,6}:{(77,1),(85,1),(135,1),(139,1),(192,1),(208,1)}
       109:{3,5,6}:{(78,1),(136,1),(140,1),(150,1),(191,1)}
       110:{1,4,6}:{(79,1),(137,1),(140,1),(141,1)}
       111:{1,3,5}:{(80,1),(88,1),(141,1),(150,1)}
       112:{1,2,4,7}:{(81,1),(85,1),(135,1),(142,1),(184,1)}
       113:{1,2,4,7}:{(82,1),(86,1),(94,1),(143,1),(155,1)}
       114:{1,2,4,7}:{(83,1),(87,1),(96,1),(137,1),(144,1),(155,1),(184,1)}
       115:{1,2,5,7}:{(84,1),(88,1),(97,1),(138,1),(146,1),(193,1),(205,1)}
       116:{2,3,6}:{(85,1),(89,1),(142,1)}
       117:{1,3,6}:{(86,1),(90,1),(143,1)}
       118:{3,4,6}:{(87,1),(144,1),(150,1),(191,1)}
       119:{1,2,4,5}:{(87,1),(88,1),(100,1),(141,1),(150,1),(158,1),(187,1),(192,1)}
       120:{1,2,3,5}:{(89,1),(90,1),(147,1),(151,1),(192,1)}
       121:{2,3,4}:{(89,1),(151,1)}
       122:{1,3,4}:{(90,1),(151,1)}
       123:{1,2,6,7}:{(91,1),(94,1),(152,1),(208,1)}
       124:{3,6,7}:{(92,1),(95,1),(191,1)}
       125:{2,4,6,7}:{(93,1),(96,1),(153,1),(154,1),(157,1)}
       126:{1,3,5,7}:{(94,1),(95,1),(98,1),(143,1),(152,1),(155,1),(193,1)}
       127:{3,4,7}:{(95,1),(96,1),(99,1),(155,1)}
       128:{2,4,5,7}:{(96,1),(97,1),(100,1),(156,1),(157,1)}
       129:{2,3,5,6}:{(97,1),(146,1),(157,1),(191,1),(194,1)}
       130:{1,4,6}:{(98,1),(99,1),(155,1),(158,1)}
       131:{3,4,5}:{(99,1),(100,1),(150,1),(158,1)}
       132:{1,3,6,7}:{(101,1),(104,1),(159,1),(160,1),(203,1)}
       133:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(105,1),(159,1),(160,1),(161,1),(172,1),(196,1)}
       134:{1,3,5,6,7}:{(103,1),(106,1),(160,1),(161,1),(165,1),(197,1)}
       135:{1,2,5,7}:{(104,1),(108,1),(112,1),(159,1),(162,1)}
       136:{3,5,7}:{(105,1),(109,1),(160,1),(163,1)}
       137:{1,4,7}:{(106,1),(110,1),(163,1)}
       138:{1,3,5,7}:{(107,1),(111,1),(115,1),(164,1),(165,1),(171,1),(197,1)}
       139:{2,3,5,6}:{(108,1),(109,1),(116,1),(162,1),(166,1),(174,1),(202,1),(209,1)}
       140:{3,4,6}:{(109,1),(110,1),(163,1),(166,1),(167,1)}
       141:{1,4,5}:{(110,1),(111,1),(167,1)}
       142:{2,3,7}:{(112,1),(116,1)}
       143:{1,3,7}:{(113,1),(117,1)}
       144:{3,4,7}:{(114,1),(118,1),(171,1)}
       145:{1,2,4,5,7}:{(114,1),(115,1),(119,1),(128,1),(164,1),(171,1),(172,1),(179,1),(199,1),(201,1)}
       146:{1,2,5,6}:{(115,1),(129,1),(165,1),(172,1),(204,1),(209,1)}
       147:{1,2,3,6}:{(116,1),(117,1),(120,1),(168,1),(173,1)}
       148:{2,3,4,6}:{(116,1),(118,1),(121,1),(166,1),(169,1),(173,1),(174,1),(202,1)}
       149:{1,3,4,6}:{(117,1),(118,1),(122,1),(130,1),(170,1),(173,1),(175,1),(203,1)}
       150:{3,5}:{(118,1),(119,1)}
       151:{1,2,4}:{(120,1),(121,1),(122,1)}
       152:{1,3,6,7}:{(123,1),(124,1),(126,1),(176,1),(203,1)}
       153:{3,4,6,7}:{(124,1),(125,1),(127,1),(176,1),(177,1),(180,1)}
       154:{2,4,5,7}:{(125,1),(177,1),(178,1)}
       155:{1,4,7}:{(126,1),(127,1),(130,1)}
       156:{3,4,5,7}:{(127,1),(128,1),(131,1),(171,1),(177,1),(179,1),(180,1)}
       157:{2,4,6}:{(128,1),(129,1),(180,1)}
       158:{1,4,5}:{(130,1),(131,1),(175,1)}
       159:{1,2,6,7}:{(132,1),(135,1),(181,1),(208,1)}
       160:{3,6,7}:{(133,1),(136,1),(191,1)}
       161:{1,4,6,7}:{(134,1),(137,1),(182,1),(183,1),(186,1)}
       162:{2,3,5,7}:{(135,1),(136,1),(139,1),(142,1),(181,1),(184,1),(205,1)}
       163:{3,4,7}:{(136,1),(137,1),(140,1),(184,1)}
       164:{1,4,5,7}:{(137,1),(138,1),(141,1),(185,1),(186,1)}
       165:{1,3,5,6}:{(138,1),(146,1),(186,1),(191,1),(206,1)}
       166:{2,4,6}:{(139,1),(140,1),(184,1),(187,1)}
       167:{3,4,5}:{(140,1),(141,1),(150,1),(187,1)}
       168:{1,2,3,7}:{(142,1),(143,1),(147,1),(188,1)}
       169:{2,3,4,7}:{(142,1),(144,1),(148,1),(184,1),(188,1),(189,1)}
       170:{1,3,4,7}:{(143,1),(144,1),(149,1),(155,1),(188,1),(190,1)}
       171:{3,5,7}:{(144,1),(145,1),(150,1),(191,1)}
       172:{1,2,4,6}:{(145,1),(146,1),(157,1),(186,1),(191,1),(195,1),(207,1),(208,1)}
       173:{1,2,4,6}:{(147,1),(148,1),(149,1),(151,1),(188,1),(192,1),(208,1)}
       174:{2,3,5}:{(148,1),(150,1),(187,1),(192,1)}
       175:{1,3,5}:{(149,1),(150,1),(158,1),(192,1)}
       176:{1,4,6,7}:{(152,1),(153,1),(155,1),(193,1),(195,1)}
       177:{3,5,7}:{(153,1),(154,1),(193,1),(194,1)}
       178:{2,4,5,6}:{(154,1),(157,1),(194,1)}
       179:{1,4,5,7}:{(155,1),(156,1),(158,1),(190,1),(193,1),(195,1)}
       180:{3,4,6}:{(156,1),(157,1),(191,1),(194,1),(195,1)}
       181:{2,3,6,7}:{(159,1),(160,1),(162,1),(196,1),(202,1)}
       182:{3,4,6,7}:{(160,1),(161,1),(163,1),(196,1),(197,1),(200,1)}
       183:{1,4,5,7}:{(161,1),(197,1),(198,1)}
       184:{2,4,7}:{(162,1),(163,1),(166,1)}
       185:{3,4,5,7}:{(163,1),(164,1),(167,1),(171,1),(197,1),(199,1),(200,1)}
       186:{1,4,6}:{(164,1),(165,1),(200,1)}
       187:{2,4,5}:{(166,1),(167,1),(174,1)}
       188:{1,2,4,7}:{(168,1),(169,1),(170,1),(173,1),(201,1)}
       189:{2,3,5,7}:{(169,1),(171,1),(174,1),(199,1),(201,1),(202,1)}
       190:{1,3,5,7}:{(170,1),(171,1),(175,1),(179,1),(201,1),(203,1)}
       191:{3,6}:{(171,1),(172,1)}
       192:{1,2,5}:{(173,1),(174,1),(175,1)}
       193:{1,5,7}:{(176,1),(177,1),(204,1)}
       194:{3,5,6}:{(177,1),(178,1),(180,1),(204,1)}
       195:{1,4,6}:{(179,1),(180,1),(203,1),(204,1)}
       196:{2,4,6,7}:{(181,1),(182,1),(184,1),(205,1),(207,1)}
       197:{3,5,7}:{(182,1),(183,1),(205,1),(206,1)}
       198:{1,4,5,6}:{(183,1),(186,1),(206,1)}
       199:{2,4,5,7}:{(184,1),(185,1),(187,1),(189,1),(205,1),(207,1)}
       200:{3,4,6}:{(185,1),(186,1),(191,1),(206,1),(207,1)}
       201:{1,2,5,7}:{(188,1),(189,1),(190,1),(192,1),(208,1)}
       202:{2,3,6}:{(189,1),(191,1),(207,1),(208,1)}
       203:{1,3,6}:{(190,1),(191,1),(195,1),(208,1)}
       204:{1,5,6}:{(193,1),(194,1),(195,1)}
       205:{2,5,7}:{(196,1),(197,1),(209,1)}
       206:{3,5,6}:{(197,1),(198,1),(200,1),(209,1)}
       207:{2,4,6}:{(199,1),(200,1),(202,1),(209,1)}
       208:{1,2,6}:{(201,1),(202,1),(203,1)}
       209:{2,5,6}:{(205,1),(206,1),(207,1)}

1630 :   0:{1,3,4,5}:{(1,1),(2,1),(47,1),(111,1),(130,1)}
         1:{1,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(95,1)}
         2:{1,2,4,5}:{(0,1),(7,1),(8,1),(28,1),(87,1),(98,1)}
         3:{2,3,4,5}:{(9,1),(10,1),(19,1),(66,1),(171,1)}
         4:{3,4,5,6}:{(12,1),(13,1),(14,1),(61,1),(171,1),(214,1),(222,1)}
         5:{1,3,5,6}:{(1,1),(13,1),(15,1),(16,1),(61,1),(111,1),(174,1)}
         6:{1,3,4,7}:{(1,1),(15,1),(17,1),(129,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(18,1),(64,1)}
         8:{2,3,5}:{(2,1),(18,1),(19,1)}
         9:{2,3,4,6}:{(3,1),(21,1),(22,1),(23,1),(141,1)}
        10:{1,2,4,5}:{(3,1),(23,1),(24,1),(28,1),(87,1),(144,1)}
        11:{1,2,3,5}:{(8,1),(24,1),(27,1),(28,1),(87,1)}
        12:{3,4,5,7}:{(4,1),(31,1),(32,1),(33,1),(94,1),(208,1)}
        13:{1,4,5,6}:{(4,1),(5,1),(32,1),(144,1),(198,1)}
        14:{2,4,5,6}:{(4,1),(29,1),(33,1),(193,1),(224,1)}
        15:{1,3,5,7}:{(5,1),(6,1),(32,1),(35,1),(36,1),(94,1)}
        16:{1,2,5,6}:{(5,1),(7,1),(36,1),(37,1),(87,1),(156,1)}
        17:{1,2,4,7}:{(6,1),(7,1),(36,1),(38,1),(97,1)}
        18:{2,3,6}:{(7,1),(8,1),(38,1)}
        19:{2,3,4}:{(8,1),(28,1)}
        20:{3,4,5,6}:{(40,1),(41,1),(42,1),(106,1),(130,1),(189,1),(230,1)}
        21:{2,3,5,6}:{(9,1),(42,1),(43,1),(44,1),(66,1),(106,1),(133,1)}
        22:{2,3,4,7}:{(9,1),(43,1),(45,1),(170,1)}
        23:{1,2,4,6}:{(9,1),(10,1),(44,1),(45,1),(46,1),(109,1)}
        24:{1,3,5}:{(10,1),(46,1),(47,1)}
        25:{2,3,4,5}:{(48,1),(49,1),(118,1),(130,1),(180,1)}
        26:{1,3,4,5}:{(50,1),(51,1),(115,1),(171,1),(178,1)}
        27:{1,2,3,6}:{(11,1),(18,1),(46,1),(53,1),(54,1)}
        28:{1,2,4}:{(11,1),(19,1),(47,1)}
        29:{2,3,5,6}:{(14,1),(48,1),(55,1),(56,1),(61,1),(180,1),(218,1)}
        30:{4,5,6,7}:{(57,1),(187,1),(230,1)}
        31:{3,4,6,7}:{(12,1),(57,1),(58,1),(59,1),(128,1),(187,1),(214,1)}
        32:{1,4,5,7}:{(12,1),(13,1),(15,1),(58,1)}
        33:{2,4,5,7}:{(12,1),(14,1),(55,1),(59,1)}
        34:{1,2,4,5,6}:{(13,1),(14,1),(16,1),(56,1),(60,1),(61,1),(64,1),(122,1),(126,1),(184,1),(190,1),(221,1),(222,1)}
        35:{1,3,6,7}:{(15,1),(58,1),(62,1),(128,1),(174,1)}
        36:{1,2,5,7}:{(15,1),(16,1),(17,1),(62,1),(63,1)}
        37:{2,3,5,6}:{(16,1),(18,1),(61,1),(63,1),(64,1),(66,1),(133,1),(190,1)}
        38:{2,3,7}:{(17,1),(18,1)}
        39:{2,3,4,6}:{(18,1),(19,1),(54,1),(64,1),(65,1),(66,1),(119,1),(133,1)}
        40:{3,4,5,7}:{(20,1),(69,1),(70,1),(71,1),(140,1),(225,1)}
        41:{1,4,5,6}:{(20,1),(67,1),(70,1),(159,1),(207,1)}
        42:{2,4,5,6}:{(20,1),(21,1),(71,1),(98,1),(164,1)}
        43:{2,3,5,7}:{(21,1),(22,1),(71,1),(73,1),(74,1),(140,1)}
        44:{1,2,5,6}:{(21,1),(23,1),(74,1),(75,1),(87,1),(156,1)}
        45:{1,2,4,7}:{(22,1),(23,1),(74,1),(76,1),(143,1)}
        46:{1,3,6}:{(23,1),(24,1),(76,1)}
        47:{1,3,4}:{(24,1),(28,1)}
        48:{2,3,4,6}:{(25,1),(29,1),(78,1),(79,1),(95,1)}
        49:{1,2,4,5}:{(25,1),(79,1),(80,1),(147,1),(159,1),(200,1)}
        50:{1,3,4,6}:{(26,1),(67,1),(81,1),(82,1),(141,1)}
        51:{1,2,4,5}:{(26,1),(82,1),(83,1),(147,1),(193,1),(200,1)}
        52:{1,2,3,5,6}:{(27,1),(37,1),(75,1),(84,1),(85,1),(87,1),(90,1),(136,1),(146,1),(153,1),(156,1),(200,1),(204,1),(205,1),(227,1)}
        53:{1,2,3,7}:{(27,1),(38,1),(76,1),(86,1)}
        54:{1,2,4,6}:{(27,1),(28,1),(39,1),(77,1),(86,1),(87,1),(156,1)}
        55:{2,3,5,7}:{(29,1),(33,1),(78,1),(88,1),(89,1),(94,1)}
        56:{1,2,5,6}:{(29,1),(79,1),(89,1),(90,1),(200,1),(227,1)}
        57:{3,5,6,7}:{(30,1),(31,1),(91,1),(92,1),(226,1)}
        58:{1,4,6,7}:{(31,1),(32,1),(35,1),(91,1),(198,1)}
        59:{2,4,6,7}:{(31,1),(33,1),(88,1),(92,1),(224,1)}
        60:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(36,1),(89,1),(93,1),(94,1),(97,1),(158,1),(163,1),(206,1),(208,1)}
        61:{3,5,6}:{(34,1),(94,1),(95,1),(153,1),(204,1)}
        62:{1,2,6,7}:{(35,1),(36,1),(96,1),(156,1)}
        63:{2,3,5,7}:{(36,1),(37,1),(38,1),(94,1),(96,1),(97,1),(163,1)}
        64:{2,4,6}:{(37,1),(95,1),(97,1),(98,1)}
        65:{2,3,4,7}:{(38,1),(39,1),(86,1),(97,1),(99,1),(152,1)}
        66:{2,3,5}:{(39,1),(87,1),(98,1),(153,1)}
        67:{1,3,5,6}:{(41,1),(50,1),(100,1),(101,1),(106,1),(178,1),(217,1)}
        68:{4,5,6,7}:{(102,1),(212,1),(222,1)}
        69:{3,4,6,7}:{(40,1),(102,1),(103,1),(104,1),(169,1),(189,1),(212,1)}
        70:{1,4,5,7}:{(40,1),(41,1),(100,1),(103,1)}
        71:{2,4,5,7}:{(40,1),(42,1),(43,1),(104,1)}
        72:{1,2,4,5,6}:{(41,1),(42,1),(44,1),(101,1),(105,1),(106,1),(109,1),(122,1),(167,1),(184,1),(215,1),(229,1),(230,1)}
        73:{2,3,6,7}:{(43,1),(104,1),(107,1),(133,1),(169,1)}
        74:{1,2,5,7}:{(43,1),(44,1),(45,1),(107,1),(108,1)}
        75:{1,3,5,6}:{(44,1),(46,1),(106,1),(108,1),(109,1),(111,1),(174,1),(215,1)}
        76:{1,3,7}:{(45,1),(46,1)}
        77:{1,3,4,6}:{(46,1),(47,1),(54,1),(109,1),(110,1),(111,1),(119,1),(174,1)}
        78:{2,3,4,7}:{(48,1),(55,1),(113,1),(129,1)}
        79:{1,2,4,6}:{(48,1),(49,1),(56,1),(113,1),(114,1),(126,1)}
        80:{1,3,5}:{(49,1),(114,1),(115,1)}
        81:{1,3,4,7}:{(50,1),(100,1),(116,1),(170,1)}
        82:{1,2,4,6}:{(50,1),(51,1),(101,1),(116,1),(117,1),(167,1)}
        83:{2,3,5}:{(51,1),(117,1),(118,1)}
        84:{1,2,3,5,7}:{(52,1),(53,1),(63,1),(108,1),(120,1),(121,1),(123,1),(125,1),(166,1),(175,1),(182,1),(183,1),(216,1)}
        85:{1,2,4,6}:{(52,1),(64,1),(109,1),(119,1),(121,1),(122,1),(126,1),(167,1)}
        86:{1,2,4,7}:{(53,1),(54,1),(65,1),(110,1),(123,1)}
        87:{1,2,5}:{(54,1),(66,1),(111,1)}
        88:{2,3,6,7}:{(55,1),(59,1),(124,1),(128,1),(218,1)}
        89:{1,2,5,7}:{(55,1),(56,1),(113,1),(124,1),(125,1)}
        90:{1,3,5,6}:{(56,1),(61,1),(114,1),(125,1),(126,1),(178,1),(217,1),(221,1)}
        91:{1,5,6,7}:{(57,1),(58,1),(215,1)}
        92:{2,5,6,7}:{(57,1),(59,1),(229,1)}
        93:{1,2,4,6,7}:{(58,1),(59,1),(60,1),(62,1),(124,1),(127,1),(128,1),(131,1),(184,1),(185,1),(187,1)}
        94:{3,5,7}:{(60,1),(61,1),(128,1),(129,1)}
        95:{3,4,6}:{(61,1),(64,1),(126,1),(129,1),(130,1)}
        96:{2,3,6,7}:{(62,1),(63,1),(128,1),(131,1),(133,1)}
        97:{2,4,7}:{(63,1),(64,1),(129,1)}
        98:{2,4,5}:{(64,1),(66,1),(130,1)}
        99:{2,3,5,7}:{(65,1),(66,1),(123,1),(132,1),(133,1),(182,1)}
       100:{1,3,5,7}:{(67,1),(70,1),(81,1),(134,1),(135,1),(140,1)}
       101:{1,2,5,6}:{(67,1),(82,1),(135,1),(136,1),(200,1),(227,1)}
       102:{3,5,6,7}:{(68,1),(69,1),(137,1),(138,1),(209,1)}
       103:{1,4,6,7}:{(69,1),(70,1),(134,1),(137,1),(207,1)}
       104:{2,4,6,7}:{(69,1),(71,1),(73,1),(138,1),(164,1)}
       105:{1,2,4,5,7}:{(70,1),(71,1),(72,1),(74,1),(135,1),(139,1),(140,1),(143,1),(192,1),(197,1),(223,1),(225,1)}
       106:{3,5,6}:{(72,1),(140,1),(141,1),(153,1),(204,1)}
       107:{1,2,6,7}:{(73,1),(74,1),(142,1),(156,1)}
       108:{1,3,5,7}:{(74,1),(75,1),(76,1),(140,1),(142,1),(143,1),(197,1)}
       109:{1,4,6}:{(75,1),(141,1),(143,1),(144,1)}
       110:{1,3,4,7}:{(76,1),(77,1),(86,1),(143,1),(145,1),(152,1)}
       111:{1,3,5}:{(77,1),(87,1),(144,1),(153,1)}
       112:{1,2,3,5}:{(80,1),(83,1),(146,1),(147,1),(200,1)}
       113:{1,2,4,7}:{(78,1),(79,1),(89,1),(148,1),(158,1)}
       114:{1,3,6}:{(79,1),(80,1),(148,1)}
       115:{1,3,4}:{(80,1),(147,1)}
       116:{1,2,4,7}:{(81,1),(82,1),(135,1),(150,1),(192,1)}
       117:{2,3,6}:{(82,1),(83,1),(150,1)}
       118:{2,3,4}:{(83,1),(147,1)}
       119:{3,4,6}:{(85,1),(152,1),(153,1),(204,1)}
       120:{1,2,3,6,7}:{(84,1),(96,1),(142,1),(154,1),(156,1),(157,1),(191,1),(204,1),(227,1)}
       121:{1,2,4,7}:{(84,1),(85,1),(97,1),(143,1),(152,1),(158,1),(192,1)}
       122:{1,2,4,5}:{(85,1),(87,1),(98,1),(144,1),(153,1),(159,1),(193,1),(200,1)}
       123:{1,2,5,7}:{(86,1),(87,1),(99,1),(145,1),(156,1)}
       124:{1,2,6,7}:{(88,1),(89,1),(157,1),(227,1)}
       125:{1,3,5,7}:{(89,1),(90,1),(94,1),(148,1),(157,1),(158,1),(206,1)}
       126:{1,4,6}:{(90,1),(95,1),(158,1),(159,1)}
       127:{1,2,5,6,7}:{(91,1),(92,1),(93,1),(160,1),(163,1),(205,1),(206,1)}
       128:{3,6,7}:{(93,1),(94,1),(204,1)}
       129:{3,4,7}:{(94,1),(95,1),(97,1),(158,1)}
       130:{3,4,5}:{(95,1),(98,1),(153,1),(159,1)}
       131:{2,4,6,7}:{(96,1),(97,1),(161,1),(163,1),(164,1)}
       132:{2,4,5,7}:{(97,1),(98,1),(99,1),(162,1),(163,1),(164,1)}
       133:{2,3,6}:{(99,1),(156,1),(164,1),(204,1)}
       134:{1,3,6,7}:{(100,1),(103,1),(165,1),(169,1),(217,1)}
       135:{1,2,5,7}:{(100,1),(101,1),(116,1),(165,1),(166,1)}
       136:{2,3,5,6}:{(101,1),(106,1),(117,1),(166,1),(167,1),(180,1),(218,1),(229,1)}
       137:{1,5,6,7}:{(102,1),(103,1),(221,1)}
       138:{2,5,6,7}:{(102,1),(104,1),(190,1)}
       139:{1,2,4,6,7}:{(103,1),(104,1),(105,1),(107,1),(165,1),(168,1),(169,1),(172,1),(184,1),(210,1),(212,1)}
       140:{3,5,7}:{(105,1),(106,1),(169,1),(170,1)}
       141:{3,4,6}:{(106,1),(109,1),(167,1),(170,1),(171,1)}
       142:{1,3,6,7}:{(107,1),(108,1),(169,1),(172,1),(174,1)}
       143:{1,4,7}:{(108,1),(109,1),(170,1)}
       144:{1,4,5}:{(109,1),(111,1),(171,1)}
       145:{1,3,5,7}:{(110,1),(111,1),(123,1),(173,1),(174,1),(182,1)}
       146:{1,2,3,6}:{(112,1),(114,1),(117,1),(175,1),(176,1)}
       147:{1,2,4}:{(112,1),(115,1),(118,1)}
       148:{1,3,7}:{(113,1),(114,1)}
       149:{1,3,4,6}:{(114,1),(115,1),(119,1),(126,1),(176,1),(177,1),(178,1),(217,1)}
       150:{2,3,7}:{(116,1),(117,1)}
       151:{2,3,4,6}:{(117,1),(118,1),(119,1),(167,1),(176,1),(179,1),(180,1),(218,1)}
       152:{3,4,7}:{(119,1),(121,1),(182,1)}
       153:{3,5}:{(119,1),(122,1)}
       154:{1,2,4,6,7}:{(120,1),(121,1),(131,1),(172,1),(181,1),(183,1),(184,1),(185,1),(210,1)}
       155:{1,2,4,5,7}:{(121,1),(122,1),(123,1),(132,1),(173,1),(182,1),(183,1),(184,1),(186,1),(211,1),(216,1),(219,1)}
       156:{1,2,6}:{(123,1),(133,1),(174,1)}
       157:{1,3,6,7}:{(124,1),(125,1),(128,1),(185,1),(217,1)}
       158:{1,4,7}:{(125,1),(126,1),(129,1)}
       159:{1,4,5}:{(126,1),(130,1),(178,1)}
       160:{3,5,6,7}:{(127,1),(128,1),(187,1),(188,1),(220,1)}
       161:{3,4,6,7}:{(128,1),(129,1),(131,1),(185,1),(187,1),(188,1),(189,1)}
       162:{3,4,5,7}:{(129,1),(130,1),(132,1),(182,1),(186,1),(188,1),(189,1),(219,1)}
       163:{2,5,7}:{(131,1),(188,1),(190,1)}
       164:{2,4,6}:{(132,1),(133,1),(189,1),(190,1)}
       165:{1,2,6,7}:{(134,1),(135,1),(191,1),(227,1)}
       166:{2,3,5,7}:{(135,1),(136,1),(140,1),(150,1),(191,1),(192,1),(223,1)}
       167:{2,4,6}:{(136,1),(141,1),(192,1),(193,1)}
       168:{1,2,5,6,7}:{(137,1),(138,1),(139,1),(194,1),(197,1),(205,1),(223,1)}
       169:{3,6,7}:{(139,1),(140,1),(204,1)}
       170:{3,4,7}:{(140,1),(141,1),(143,1),(192,1)}
       171:{3,4,5}:{(141,1),(144,1),(153,1),(193,1)}
       172:{1,4,6,7}:{(142,1),(143,1),(195,1),(197,1),(198,1)}
       173:{1,4,5,7}:{(143,1),(144,1),(145,1),(196,1),(197,1),(198,1)}
       174:{1,3,6}:{(145,1),(156,1),(198,1),(204,1)}
       175:{1,2,3,7}:{(146,1),(148,1),(150,1),(199,1)}
       176:{1,2,4,6}:{(146,1),(147,1),(149,1),(151,1),(199,1),(200,1),(227,1)}
       177:{1,3,4,7}:{(148,1),(149,1),(152,1),(158,1),(199,1),(201,1)}
       178:{1,3,5}:{(149,1),(153,1),(159,1),(200,1)}
       179:{2,3,4,7}:{(150,1),(151,1),(152,1),(192,1),(199,1),(202,1)}
       180:{2,3,5}:{(151,1),(153,1),(193,1),(200,1)}
       181:{3,4,6,7}:{(152,1),(154,1),(203,1),(204,1),(228,1)}
       182:{3,5,7}:{(152,1),(153,1),(155,1),(204,1)}
       183:{1,2,5,7}:{(154,1),(163,1),(197,1),(203,1),(205,1),(206,1),(223,1)}
       184:{1,2,4,6}:{(155,1),(156,1),(164,1),(198,1),(204,1),(205,1),(207,1),(224,1),(227,1),(228,1)}
       185:{1,4,6,7}:{(157,1),(158,1),(161,1),(206,1),(207,1)}
       186:{1,4,5,7}:{(158,1),(159,1),(162,1),(201,1),(206,1),(207,1)}
       187:{4,6,7}:{(160,1),(208,1),(228,1)}
       188:{3,5,7}:{(161,1),(163,1),(206,1),(208,1),(209,1)}
       189:{3,4,6}:{(162,1),(164,1),(204,1),(207,1),(209,1),(228,1)}
       190:{2,5,6}:{(163,1),(164,1),(209,1)}
       191:{2,3,6,7}:{(165,1),(166,1),(169,1),(210,1),(218,1)}
       192:{2,4,7}:{(166,1),(167,1),(170,1)}
       193:{2,4,5}:{(167,1),(171,1),(180,1)}
       194:{3,5,6,7}:{(168,1),(169,1),(212,1),(213,1),(220,1)}
       195:{3,4,6,7}:{(169,1),(170,1),(172,1),(210,1),(212,1),(213,1),(214,1)}
       196:{3,4,5,7}:{(170,1),(171,1),(173,1),(182,1),(211,1),(213,1),(214,1),(219,1)}
       197:{1,5,7}:{(172,1),(213,1),(215,1)}
       198:{1,4,6}:{(173,1),(174,1),(214,1),(215,1)}
       199:{1,2,4,7}:{(175,1),(176,1),(177,1),(179,1),(216,1)}
       200:{1,2,5}:{(176,1),(178,1),(180,1)}
       201:{1,3,5,7}:{(177,1),(178,1),(182,1),(186,1),(216,1),(217,1)}
       202:{2,3,5,7}:{(179,1),(180,1),(182,1),(211,1),(216,1),(218,1)}
       203:{3,5,7}:{(181,1),(183,1),(219,1),(220,1)}
       204:{3,6}:{(182,1),(184,1)}
       205:{1,2,5,6}:{(183,1),(184,1),(190,1),(215,1),(220,1),(221,1),(229,1)}
       206:{1,5,7}:{(185,1),(188,1),(221,1)}
       207:{1,4,6}:{(186,1),(189,1),(217,1),(221,1)}
       208:{4,5,7}:{(187,1),(188,1),(222,1)}
       209:{3,5,6}:{(188,1),(189,1),(190,1),(221,1),(222,1)}
       210:{2,4,6,7}:{(191,1),(192,1),(195,1),(223,1),(224,1)}
       211:{2,4,5,7}:{(192,1),(193,1),(196,1),(202,1),(223,1),(224,1)}
       212:{4,6,7}:{(194,1),(225,1),(228,1)}
       213:{3,5,7}:{(195,1),(197,1),(223,1),(225,1),(226,1)}
       214:{3,4,6}:{(196,1),(198,1),(204,1),(224,1),(226,1),(228,1)}
       215:{1,5,6}:{(197,1),(198,1),(226,1)}
       216:{1,2,5,7}:{(199,1),(200,1),(201,1),(202,1),(227,1)}
       217:{1,3,6}:{(201,1),(204,1),(207,1),(227,1)}
       218:{2,3,6}:{(202,1),(204,1),(224,1),(227,1)}
       219:{4,5,7}:{(203,1),(228,1)}
       220:{3,5,6}:{(203,1),(204,1),(205,1),(228,1)}
       221:{1,5,6}:{(206,1),(207,1),(209,1)}
       222:{4,5,6}:{(208,1),(209,1),(228,1)}
       223:{2,5,7}:{(210,1),(213,1),(229,1)}
       224:{2,4,6}:{(211,1),(214,1),(218,1),(229,1)}
       225:{4,5,7}:{(212,1),(213,1),(230,1)}
       226:{3,5,6}:{(213,1),(214,1),(215,1),(229,1),(230,1)}
       227:{1,2,6}:{(216,1),(217,1),(218,1)}
       228:{4,6}:{(219,1),(220,1)}
       229:{2,5,6}:{(223,1),(224,1),(226,1)}
       230:{4,5,6}:{(225,1),(226,1),(228,1)}

1631 :   0:{1,2,4,5,6}:{(2,1),(3,1),(14,1),(15,1),(19,1),(42,1),(46,1),(77,1),(78,1),(79,1),(99,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(6,1),(66,1),(67,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(6,1),(7,1),(27,1),(29,1),(30,1),(34,1),(66,1),(67,1)}
         3:{3,5,6}:{(0,1),(5,1),(7,1),(65,1),(90,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(12,1),(16,1),(47,1),(96,1)}
         5:{3,4,6}:{(3,1),(11,1),(13,1),(14,1),(15,1),(51,1),(81,1)}
         6:{1,2,4,6,7}:{(1,1),(2,1),(12,1),(16,1),(48,1),(49,1),(52,1),(79,1)}
         7:{3,5,7}:{(2,1),(3,1),(13,1),(16,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(39,1),(51,1),(55,1),(73,1),(77,1),(84,1),(96,1),(99,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(20,1),(51,1),(53,1),(75,1),(78,1),(94,1),(96,1),(103,1)}
        10:{2,3,4,6}:{(15,1),(20,1),(21,1),(22,1),(51,1),(53,1),(81,1),(97,1)}
        11:{3,4,5}:{(5,1),(25,1),(26,1),(65,1),(102,1)}
        12:{4,6,7}:{(4,1),(27,1),(101,1)}
        13:{3,4,7}:{(5,1),(7,1),(29,1),(30,1),(69,1)}
        14:{1,4,6}:{(5,1),(8,1),(25,1),(29,1),(72,1),(101,1)}
        15:{2,4,6}:{(5,1),(9,1),(26,1),(30,1),(88,1),(101,1)}
        16:{3,6,7}:{(6,1),(7,1),(90,1)}
        17:{1,3,5,7}:{(7,1),(8,1),(29,1),(32,1),(34,1),(66,1),(69,1),(92,1)}
        18:{2,3,5,7}:{(7,1),(9,1),(30,1),(33,1),(34,1),(67,1),(69,1),(92,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(36,1),(58,1),(70,1),(86,1)}
        20:{2,3,5}:{(10,1),(26,1),(36,1),(65,1),(102,1)}
        21:{2,3,4,7}:{(10,1),(30,1),(35,1),(37,1),(69,1),(91,1)}
        22:{1,2,4,6}:{(10,1),(36,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        23:{1,3,4,6}:{(14,1),(39,1),(40,1),(41,1),(51,1),(73,1),(81,1),(97,1)}
        24:{3,4,5,7}:{(11,1),(13,1),(43,1),(44,1),(45,1),(47,1),(80,1),(98,1),(104,1)}
        25:{1,4,5}:{(11,1),(14,1),(39,1),(99,1),(104,1)}
        26:{2,4,5}:{(11,1),(15,1),(20,1),(103,1),(104,1)}
        27:{4,5,7}:{(12,1),(42,1),(47,1),(98,1),(104,1)}
        28:{3,4,6,7}:{(12,1),(13,1),(16,1),(43,1),(47,1),(48,1),(49,1),(83,1),(97,1),(98,1)}
        29:{1,4,7}:{(13,1),(14,1),(17,1),(98,1)}
        30:{2,4,7}:{(13,1),(15,1),(18,1),(98,1)}
        31:{1,2,4,6}:{(14,1),(15,1),(19,1),(46,1),(50,1),(51,1)}
        32:{1,3,6,7}:{(16,1),(17,1),(48,1),(52,1),(73,1),(83,1),(84,1)}
        33:{2,3,6,7}:{(16,1),(18,1),(49,1),(52,1),(53,1),(83,1),(94,1)}
        34:{1,2,5,7}:{(17,1),(18,1),(19,1),(50,1),(52,1)}
        35:{2,3,5,7}:{(20,1),(21,1),(45,1),(53,1),(54,1),(80,1)}
        36:{1,2,5}:{(20,1),(22,1),(55,1),(99,1)}
        37:{1,2,4,7}:{(21,1),(22,1),(54,1),(56,1),(85,1)}
        38:{1,3,6}:{(22,1),(51,1),(55,1),(56,1)}
        39:{1,3,5}:{(23,1),(25,1),(58,1),(65,1),(102,1)}
        40:{1,3,4,7}:{(23,1),(29,1),(57,1),(59,1),(69,1),(91,1)}
        41:{1,2,4,6}:{(23,1),(58,1),(59,1),(60,1),(86,1),(88,1),(100,1)}
        42:{4,5,6}:{(27,1),(61,1),(101,1)}
        43:{3,4,6}:{(24,1),(61,1),(62,1),(63,1),(90,1),(101,1)}
        44:{1,4,5,7}:{(24,1),(25,1),(29,1),(57,1),(62,1),(66,1)}
        45:{2,4,5,7}:{(24,1),(26,1),(30,1),(35,1),(63,1),(67,1)}
        46:{1,2,4,5}:{(25,1),(26,1),(31,1),(36,1),(58,1),(65,1),(72,1),(88,1)}
        47:{3,5,7}:{(27,1),(28,1),(61,1),(66,1),(67,1),(102,1)}
        48:{1,4,6,7}:{(28,1),(29,1),(32,1),(62,1),(66,1),(93,1)}
        49:{2,4,6,7}:{(28,1),(30,1),(33,1),(63,1),(67,1),(100,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(69,1)}
        51:{3,6}:{(31,1),(65,1),(69,1)}
        52:{1,2,6,7}:{(32,1),(33,1),(34,1),(70,1),(86,1)}
        53:{2,3,6}:{(35,1),(63,1),(70,1),(90,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(37,1),(70,1),(71,1)}
        55:{1,3,5}:{(36,1),(38,1),(65,1),(72,1)}
        56:{1,3,7}:{(37,1),(38,1),(69,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(44,1),(73,1),(74,1),(80,1)}
        58:{1,2,5}:{(39,1),(41,1),(75,1),(103,1)}
        59:{1,2,4,7}:{(40,1),(41,1),(74,1),(76,1),(95,1)}
        60:{2,3,6}:{(41,1),(51,1),(75,1),(76,1)}
        61:{3,5,6}:{(42,1),(43,1),(47,1),(77,1),(78,1)}
        62:{1,4,6}:{(43,1),(44,1),(73,1),(77,1)}
        63:{2,4,6}:{(43,1),(45,1),(53,1),(78,1)}
        64:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(50,1),(54,1),(74,1),(79,1),(80,1),(82,1),(85,1),(95,1),(98,1),(99,1),(103,1),(104,1)}
        65:{3,5}:{(46,1),(51,1),(81,1)}
        66:{1,5,7}:{(47,1),(48,1),(77,1),(99,1)}
        67:{2,5,7}:{(47,1),(49,1),(78,1),(103,1)}
        68:{1,2,4,6,7}:{(48,1),(49,1),(50,1),(52,1),(79,1),(82,1),(83,1),(98,1)}
        69:{3,7}:{(50,1),(51,1)}
        70:{1,2,6}:{(53,1),(54,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(56,1),(80,1),(84,1),(85,1),(99,1)}
        72:{1,4}:{(55,1),(81,1)}
        73:{1,3,6}:{(57,1),(62,1),(86,1),(90,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(86,1),(87,1)}
        75:{2,3,5}:{(58,1),(60,1),(65,1),(88,1)}
        76:{2,3,7}:{(59,1),(60,1),(69,1)}
        77:{1,5,6}:{(61,1),(62,1),(66,1)}
        78:{2,5,6}:{(61,1),(63,1),(67,1)}
        79:{1,2,4,6}:{(62,1),(63,1),(64,1),(70,1),(86,1),(89,1),(90,1),(93,1),(100,1),(101,1)}
        80:{3,5,7}:{(64,1),(65,1),(69,1),(90,1),(91,1),(102,1)}
        81:{3,4}:{(65,1),(72,1),(88,1)}
        82:{1,2,5,7}:{(66,1),(67,1),(68,1),(89,1),(92,1)}
        83:{3,6,7}:{(68,1),(69,1),(90,1),(92,1)}
        84:{1,3,6}:{(70,1),(71,1),(90,1),(93,1)}
        85:{1,4,7}:{(71,1),(72,1),(91,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(80,1),(94,1),(95,1),(103,1)}
        88:{2,4}:{(75,1),(81,1)}
        89:{1,2,5,6}:{(77,1),(78,1),(79,1),(82,1),(96,1),(99,1),(103,1)}
        90:{3,6}:{(79,1),(80,1)}
        91:{3,4,7}:{(80,1),(81,1),(85,1),(95,1),(97,1),(98,1)}
        92:{3,5,7}:{(82,1),(83,1),(96,1),(98,1)}
        93:{1,4,6}:{(84,1),(85,1),(97,1),(99,1)}
        94:{2,3,6}:{(86,1),(87,1),(90,1),(100,1)}
        95:{2,4,7}:{(87,1),(88,1),(91,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(92,1),(101,1),(102,1)}
        97:{3,4,6}:{(90,1),(91,1),(93,1),(100,1),(101,1),(102,1)}
        98:{4,7}:{(92,1),(101,1)}
        99:{1,5}:{(93,1),(102,1)}
       100:{2,4,6}:{(94,1),(95,1),(97,1),(103,1)}
       101:{4,6}:{(96,1),(98,1),(104,1)}
       102:{3,5}:{(97,1),(99,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1632 :   0:{4,5,6,7}:{(3,1),(61,1),(226,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(6,1),(31,1),(112,1),(176,1),(211,1)}
         2:{1,3,4,5}:{(7,1),(8,1),(68,1),(73,1),(125,1)}
         3:{3,5,6,7}:{(0,1),(10,1),(11,1),(12,1),(221,1)}
         4:{3,4,5,7}:{(1,1),(10,1),(13,1),(14,1),(45,1),(84,1)}
         5:{1,4,5,6}:{(1,1),(13,1),(15,1),(155,1),(200,1)}
         6:{2,4,5,6}:{(1,1),(14,1),(16,1),(187,1),(216,1)}
         7:{1,3,4,6}:{(2,1),(15,1),(18,1),(19,1),(48,1)}
         8:{1,2,4,5}:{(2,1),(19,1),(20,1),(52,1),(90,1),(96,1)}
         9:{2,3,4,5}:{(21,1),(22,1),(68,1),(105,1),(162,1)}
        10:{3,4,6,7}:{(3,1),(4,1),(23,1),(24,1),(60,1),(61,1),(211,1)}
        11:{1,5,6,7}:{(3,1),(23,1),(214,1)}
        12:{2,5,6,7}:{(3,1),(24,1),(224,1)}
        13:{1,4,5,7}:{(4,1),(5,1),(23,1),(26,1)}
        14:{2,4,5,7}:{(4,1),(6,1),(24,1),(27,1)}
        15:{1,3,5,6}:{(5,1),(7,1),(26,1),(29,1),(31,1),(125,1),(180,1)}
        16:{2,3,5,6}:{(6,1),(21,1),(27,1),(30,1),(31,1),(162,1),(204,1)}
        17:{1,2,4,5,6}:{(5,1),(6,1),(28,1),(29,1),(30,1),(31,1),(66,1),(67,1),(112,1),(118,1),(169,1),(170,1),(173,1)}
        18:{1,3,4,7}:{(7,1),(26,1),(32,1),(64,1)}
        19:{1,2,4,6}:{(7,1),(8,1),(29,1),(32,1),(33,1),(66,1)}
        20:{2,3,5}:{(8,1),(33,1),(35,1)}
        21:{2,3,4,6}:{(9,1),(16,1),(36,1),(37,1),(48,1)}
        22:{1,2,4,5}:{(9,1),(37,1),(38,1),(79,1),(91,1),(133,1)}
        23:{1,4,6,7}:{(10,1),(11,1),(13,1),(39,1),(200,1)}
        24:{2,4,6,7}:{(10,1),(12,1),(14,1),(40,1),(216,1)}
        25:{1,2,5,6,7}:{(11,1),(12,1),(41,1),(42,1),(139,1),(140,1),(192,1)}
        26:{1,3,5,7}:{(13,1),(15,1),(18,1),(39,1),(43,1),(45,1)}
        27:{2,3,5,7}:{(14,1),(16,1),(36,1),(40,1),(44,1),(45,1)}
        28:{1,2,4,5,7}:{(13,1),(14,1),(17,1),(41,1),(43,1),(44,1),(45,1),(84,1),(86,1),(87,1),(139,1),(140,1)}
        29:{1,2,5,6}:{(15,1),(19,1),(43,1),(46,1),(96,1),(153,1)}
        30:{1,2,5,6}:{(16,1),(37,1),(44,1),(47,1),(133,1),(185,1)}
        31:{3,5,6}:{(17,1),(45,1),(48,1),(148,1),(196,1)}
        32:{1,2,4,7}:{(18,1),(19,1),(43,1),(49,1),(86,1)}
        33:{2,3,6}:{(19,1),(20,1),(49,1)}
        34:{1,2,3,5}:{(20,1),(50,1),(52,1),(96,1),(98,1)}
        35:{2,3,4}:{(20,1),(52,1)}
        36:{2,3,4,7}:{(21,1),(27,1),(54,1),(64,1)}
        37:{1,2,4,6}:{(21,1),(22,1),(30,1),(54,1),(55,1),(67,1)}
        38:{1,3,5}:{(22,1),(55,1),(57,1)}
        39:{1,3,6,7}:{(23,1),(26,1),(58,1),(60,1),(180,1)}
        40:{2,3,6,7}:{(24,1),(27,1),(59,1),(60,1),(204,1)}
        41:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(28,1),(58,1),(59,1),(60,1),(61,1),(109,1),(110,1),(173,1)}
        42:{3,5,6,7}:{(25,1),(60,1),(61,1),(111,1),(209,1)}
        43:{1,2,5,7}:{(26,1),(29,1),(32,1),(58,1),(62,1)}
        44:{1,2,5,7}:{(27,1),(30,1),(54,1),(59,1),(63,1)}
        45:{3,5,7}:{(28,1),(31,1),(60,1),(64,1)}
        46:{2,3,5,6}:{(29,1),(31,1),(33,1),(62,1),(66,1),(72,1),(124,1),(169,1)}
        47:{1,3,5,6}:{(30,1),(31,1),(55,1),(63,1),(67,1),(104,1),(161,1),(170,1)}
        48:{3,4,6}:{(31,1),(64,1),(66,1),(67,1),(68,1)}
        49:{2,3,7}:{(32,1),(33,1)}
        50:{1,2,3,6}:{(33,1),(34,1),(69,1),(71,1),(128,1)}
        51:{2,3,4,6}:{(33,1),(35,1),(66,1),(70,1),(71,1),(72,1),(117,1),(124,1)}
        52:{1,2,4}:{(34,1),(35,1),(73,1)}
        53:{2,3,4,5}:{(35,1),(72,1),(74,1),(75,1),(176,1)}
        54:{1,2,4,7}:{(36,1),(37,1),(44,1),(76,1),(87,1)}
        55:{1,3,6}:{(37,1),(38,1),(76,1)}
        56:{1,2,3,5}:{(38,1),(77,1),(79,1),(133,1),(135,1)}
        57:{1,3,4}:{(38,1),(79,1)}
        58:{1,2,6,7}:{(39,1),(43,1),(81,1),(153,1)}
        59:{1,2,6,7}:{(40,1),(44,1),(82,1),(185,1)}
        60:{3,6,7}:{(41,1),(45,1),(196,1)}
        61:{4,6,7}:{(42,1),(84,1),(219,1)}
        62:{2,3,5,7}:{(43,1),(45,1),(46,1),(49,1),(81,1),(86,1),(139,1)}
        63:{1,3,5,7}:{(44,1),(45,1),(47,1),(76,1),(82,1),(87,1),(140,1)}
        64:{3,4,7}:{(45,1),(48,1),(86,1),(87,1)}
        65:{1,2,3,5,6}:{(46,1),(47,1),(50,1),(77,1),(85,1),(89,1),(96,1),(133,1),(148,1),(153,1),(156,1),(185,1),(188,1),(192,1),(196,1)}
        66:{2,4,6}:{(46,1),(48,1),(86,1),(90,1)}
        67:{1,4,6}:{(47,1),(48,1),(87,1),(91,1)}
        68:{3,4,5}:{(48,1),(90,1),(91,1),(148,1)}
        69:{1,2,3,7}:{(49,1),(50,1),(93,1),(158,1)}
        70:{2,3,4,7}:{(49,1),(51,1),(86,1),(93,1),(94,1),(143,1)}
        71:{1,2,4,6}:{(50,1),(51,1),(52,1),(93,1),(95,1),(96,1),(153,1)}
        72:{2,3,5}:{(51,1),(90,1),(96,1),(148,1)}
        73:{1,3,4}:{(52,1),(98,1)}
        74:{1,2,4,5}:{(52,1),(53,1),(96,1),(98,1),(99,1),(155,1)}
        75:{2,3,4,6}:{(53,1),(97,1),(99,1),(100,1),(198,1)}
        76:{1,3,7}:{(54,1),(55,1)}
        77:{1,2,3,6}:{(55,1),(56,1),(101,1),(103,1),(165,1)}
        78:{1,3,4,6}:{(55,1),(57,1),(67,1),(102,1),(103,1),(104,1),(117,1),(161,1)}
        79:{1,2,4}:{(56,1),(57,1),(105,1)}
        80:{1,3,4,5}:{(57,1),(104,1),(106,1),(107,1),(176,1)}
        81:{2,3,6,7}:{(58,1),(60,1),(62,1),(109,1),(124,1)}
        82:{1,3,6,7}:{(59,1),(60,1),(63,1),(110,1),(161,1)}
        83:{3,4,6,7}:{(60,1),(61,1),(64,1),(109,1),(110,1),(111,1),(116,1)}
        84:{4,5,7}:{(61,1),(111,1),(112,1)}
        85:{1,2,3,5,7}:{(62,1),(63,1),(65,1),(69,1),(101,1),(108,1),(113,1),(123,1),(160,1),(168,1),(172,1),(183,1),(207,1)}
        86:{2,4,7}:{(62,1),(64,1),(66,1)}
        87:{1,4,7}:{(63,1),(64,1),(67,1)}
        88:{3,4,5,7}:{(64,1),(68,1),(111,1),(114,1),(115,1),(116,1),(172,1),(208,1)}
        89:{1,2,4,6}:{(65,1),(66,1),(67,1),(113,1),(117,1),(118,1),(182,1),(206,1)}
        90:{2,4,5}:{(66,1),(68,1),(72,1)}
        91:{1,4,5}:{(67,1),(68,1),(104,1)}
        92:{3,4,5,6}:{(68,1),(116,1),(119,1),(120,1),(121,1),(177,1),(226,1)}
        93:{1,2,4,7}:{(69,1),(70,1),(71,1),(122,1),(123,1)}
        94:{2,3,5,7}:{(70,1),(72,1),(114,1),(123,1),(124,1),(172,1)}
        95:{1,3,4,6}:{(71,1),(73,1),(117,1),(122,1),(125,1),(128,1),(180,1),(182,1)}
        96:{1,2,5}:{(71,1),(72,1),(125,1)}
        97:{2,3,5,6}:{(72,1),(75,1),(119,1),(124,1),(126,1),(127,1),(177,1)}
        98:{1,3,5}:{(73,1),(74,1),(128,1)}
        99:{1,2,4,6}:{(74,1),(75,1),(126,1),(128,1),(129,1),(182,1)}
       100:{2,3,4,7}:{(75,1),(127,1),(129,1),(213,1)}
       101:{1,2,3,7}:{(76,1),(77,1),(130,1),(190,1)}
       102:{1,3,4,7}:{(76,1),(78,1),(87,1),(130,1),(131,1),(143,1)}
       103:{1,2,4,6}:{(77,1),(78,1),(79,1),(130,1),(132,1),(133,1),(185,1)}
       104:{1,3,5}:{(78,1),(91,1),(133,1),(148,1)}
       105:{2,3,4}:{(79,1),(135,1)}
       106:{1,2,4,5}:{(79,1),(80,1),(133,1),(135,1),(136,1),(187,1)}
       107:{1,3,4,6}:{(80,1),(134,1),(136,1),(137,1),(198,1)}
       108:{1,2,3,6,7}:{(81,1),(82,1),(85,1),(138,1),(153,1),(185,1),(196,1),(201,1),(217,1)}
       109:{2,4,6,7}:{(81,1),(83,1),(86,1),(139,1),(145,1)}
       110:{1,4,6,7}:{(82,1),(83,1),(87,1),(140,1),(146,1)}
       111:{3,5,7}:{(83,1),(84,1),(139,1),(140,1),(141,1)}
       112:{4,5,6}:{(84,1),(141,1),(219,1)}
       113:{1,2,4,7}:{(85,1),(86,1),(87,1),(89,1),(143,1),(202,1),(218,1)}
       114:{2,4,5,7}:{(86,1),(88,1),(90,1),(94,1),(139,1),(145,1)}
       115:{1,4,5,7}:{(87,1),(88,1),(91,1),(131,1),(140,1),(146,1)}
       116:{3,4,6}:{(88,1),(141,1),(145,1),(146,1),(196,1),(219,1)}
       117:{3,4,6}:{(89,1),(143,1),(148,1),(196,1)}
       118:{1,2,4,5}:{(89,1),(90,1),(91,1),(96,1),(133,1),(148,1),(155,1),(187,1)}
       119:{2,4,5,6}:{(90,1),(92,1),(97,1),(145,1),(150,1)}
       120:{1,4,5,6}:{(91,1),(92,1),(134,1),(146,1),(151,1)}
       121:{3,4,5,7}:{(92,1),(147,1),(150,1),(151,1),(199,1),(230,1)}
       122:{1,3,4,7}:{(93,1),(95,1),(143,1),(152,1),(158,1),(202,1)}
       123:{1,2,5,7}:{(93,1),(94,1),(96,1),(152,1),(153,1)}
       124:{2,3,6}:{(94,1),(145,1),(153,1),(196,1)}
       125:{1,3,5}:{(95,1),(96,1),(148,1),(155,1)}
       126:{1,2,5,6}:{(96,1),(97,1),(99,1),(153,1),(156,1),(157,1)}
       127:{2,3,5,7}:{(97,1),(100,1),(150,1),(154,1),(157,1),(199,1)}
       128:{1,3,6}:{(98,1),(99,1),(158,1)}
       129:{1,2,4,7}:{(99,1),(100,1),(157,1),(158,1),(202,1)}
       130:{1,2,4,7}:{(101,1),(102,1),(103,1),(159,1),(160,1)}
       131:{1,3,5,7}:{(102,1),(104,1),(115,1),(160,1),(161,1),(172,1)}
       132:{2,3,4,6}:{(103,1),(105,1),(117,1),(159,1),(162,1),(165,1),(204,1),(206,1)}
       133:{1,2,5}:{(103,1),(104,1),(162,1)}
       134:{1,3,5,6}:{(104,1),(107,1),(120,1),(161,1),(163,1),(164,1),(177,1)}
       135:{2,3,5}:{(105,1),(106,1),(165,1)}
       136:{1,2,4,6}:{(106,1),(107,1),(163,1),(165,1),(166,1),(206,1)}
       137:{1,3,4,7}:{(107,1),(164,1),(166,1),(213,1)}
       138:{1,2,4,6,7}:{(108,1),(109,1),(110,1),(113,1),(167,1),(168,1),(173,1),(215,1),(225,1)}
       139:{2,5,7}:{(109,1),(111,1),(169,1)}
       140:{1,5,7}:{(110,1),(111,1),(170,1)}
       141:{3,5,6}:{(111,1),(112,1),(116,1),(169,1),(170,1)}
       142:{4,5,6,7}:{(112,1),(171,1),(227,1)}
       143:{3,4,7}:{(113,1),(117,1),(172,1)}
       144:{1,2,4,5,7}:{(113,1),(114,1),(115,1),(118,1),(123,1),(160,1),(168,1),(172,1),(173,1),(179,1),(203,1),(208,1)}
       145:{2,4,6}:{(114,1),(116,1),(124,1),(169,1)}
       146:{1,4,6}:{(115,1),(116,1),(161,1),(170,1)}
       147:{3,4,6,7}:{(116,1),(121,1),(171,1),(174,1),(175,1),(212,1),(227,1)}
       148:{3,5}:{(117,1),(118,1)}
       149:{1,2,4,5,6}:{(118,1),(119,1),(120,1),(126,1),(163,1),(173,1),(177,1),(178,1),(182,1),(206,1),(214,1),(224,1),(226,1)}
       150:{2,4,5,7}:{(119,1),(121,1),(127,1),(174,1)}
       151:{1,4,5,7}:{(120,1),(121,1),(164,1),(175,1)}
       152:{1,3,5,7}:{(122,1),(123,1),(125,1),(172,1),(179,1),(180,1)}
       153:{1,2,6}:{(123,1),(124,1),(180,1)}
       154:{2,3,6,7}:{(124,1),(127,1),(174,1),(181,1),(212,1)}
       155:{1,4,5}:{(125,1),(176,1),(182,1)}
       156:{1,3,5,6}:{(125,1),(126,1),(128,1),(177,1),(180,1),(182,1),(183,1),(214,1)}
       157:{1,2,5,7}:{(126,1),(127,1),(129,1),(181,1),(183,1)}
       158:{1,3,7}:{(128,1),(129,1)}
       159:{2,3,4,7}:{(130,1),(132,1),(143,1),(184,1),(190,1),(218,1)}
       160:{1,2,5,7}:{(130,1),(131,1),(133,1),(184,1),(185,1)}
       161:{1,3,6}:{(131,1),(146,1),(185,1),(196,1)}
       162:{2,3,5}:{(132,1),(133,1),(148,1),(187,1)}
       163:{1,2,5,6}:{(133,1),(134,1),(136,1),(185,1),(188,1),(189,1)}
       164:{1,3,5,7}:{(134,1),(137,1),(151,1),(186,1),(189,1),(199,1)}
       165:{2,3,6}:{(135,1),(136,1),(190,1)}
       166:{1,2,4,7}:{(136,1),(137,1),(189,1),(190,1),(218,1)}
       167:{3,4,6,7}:{(138,1),(143,1),(191,1),(196,1),(219,1)}
       168:{1,2,5,7}:{(138,1),(139,1),(140,1),(191,1),(192,1),(223,1),(229,1)}
       169:{2,5,6}:{(139,1),(141,1),(145,1)}
       170:{1,5,6}:{(140,1),(141,1),(146,1)}
       171:{3,5,6,7}:{(141,1),(142,1),(147,1),(193,1),(194,1)}
       172:{3,5,7}:{(143,1),(144,1),(148,1),(196,1)}
       173:{1,2,4,6}:{(144,1),(145,1),(146,1),(153,1),(185,1),(192,1),(196,1),(200,1),(216,1),(219,1)}
       174:{2,4,6,7}:{(145,1),(147,1),(150,1),(154,1),(193,1)}
       175:{1,4,6,7}:{(146,1),(147,1),(151,1),(186,1),(194,1)}
       176:{3,4,5}:{(148,1),(155,1),(187,1),(198,1)}
       177:{3,5,6}:{(148,1),(149,1),(196,1),(198,1),(199,1)}
       178:{1,2,4,5,7}:{(149,1),(150,1),(151,1),(157,1),(189,1),(197,1),(199,1),(202,1),(218,1),(223,1),(229,1),(230,1)}
       179:{1,4,5,7}:{(152,1),(155,1),(195,1),(200,1),(202,1),(223,1)}
       180:{1,3,6}:{(152,1),(153,1),(196,1),(200,1)}
       181:{1,2,6,7}:{(153,1),(154,1),(157,1),(201,1)}
       182:{1,4,6}:{(155,1),(156,1),(198,1),(202,1)}
       183:{1,3,5,7}:{(156,1),(157,1),(158,1),(199,1),(201,1),(202,1),(223,1)}
       184:{2,3,5,7}:{(159,1),(160,1),(162,1),(172,1),(203,1),(204,1)}
       185:{1,2,6}:{(160,1),(161,1),(204,1)}
       186:{1,3,6,7}:{(161,1),(164,1),(175,1),(205,1),(212,1)}
       187:{2,4,5}:{(162,1),(176,1),(206,1)}
       188:{2,3,5,6}:{(162,1),(163,1),(165,1),(177,1),(204,1),(206,1),(207,1),(224,1)}
       189:{1,2,5,7}:{(163,1),(164,1),(166,1),(205,1),(207,1)}
       190:{2,3,7}:{(165,1),(166,1)}
       191:{3,5,7}:{(167,1),(168,1),(208,1),(209,1)}
       192:{1,2,5,6}:{(168,1),(169,1),(170,1),(173,1),(209,1),(214,1),(224,1)}
       193:{2,5,6,7}:{(169,1),(171,1),(174,1)}
       194:{1,5,6,7}:{(170,1),(171,1),(175,1)}
       195:{3,4,5,7}:{(172,1),(176,1),(179,1),(203,1),(208,1),(211,1),(213,1),(228,1)}
       196:{3,6}:{(172,1),(173,1)}
       197:{1,2,4,6,7}:{(173,1),(174,1),(175,1),(178,1),(181,1),(205,1),(210,1),(212,1),(215,1),(225,1),(227,1)}
       198:{3,4,6}:{(176,1),(177,1),(182,1),(206,1),(213,1)}
       199:{3,5,7}:{(177,1),(178,1),(212,1),(213,1)}
       200:{1,4,6}:{(179,1),(180,1),(211,1),(214,1)}
       201:{1,3,6,7}:{(180,1),(181,1),(183,1),(212,1),(215,1)}
       202:{1,4,7}:{(182,1),(183,1),(213,1)}
       203:{2,4,5,7}:{(184,1),(187,1),(195,1),(216,1),(218,1),(229,1)}
       204:{2,3,6}:{(184,1),(185,1),(196,1),(216,1)}
       205:{1,2,6,7}:{(185,1),(186,1),(189,1),(217,1)}
       206:{2,4,6}:{(187,1),(188,1),(198,1),(218,1)}
       207:{2,3,5,7}:{(188,1),(189,1),(190,1),(199,1),(217,1),(218,1),(229,1)}
       208:{4,5,7}:{(191,1),(219,1)}
       209:{3,5,6}:{(191,1),(192,1),(196,1),(219,1)}
       210:{1,2,5,6,7}:{(192,1),(193,1),(194,1),(197,1),(220,1),(223,1),(229,1)}
       211:{3,4,6}:{(195,1),(196,1),(200,1),(216,1),(219,1),(221,1)}
       212:{3,6,7}:{(196,1),(197,1),(199,1)}
       213:{3,4,7}:{(198,1),(199,1),(202,1),(218,1)}
       214:{1,5,6}:{(200,1),(221,1),(223,1)}
       215:{1,4,6,7}:{(200,1),(201,1),(202,1),(222,1),(223,1)}
       216:{2,4,6}:{(203,1),(204,1),(211,1),(224,1)}
       217:{2,3,6,7}:{(204,1),(205,1),(207,1),(212,1),(225,1)}
       218:{2,4,7}:{(206,1),(207,1),(213,1)}
       219:{4,6}:{(208,1),(209,1)}
       220:{3,5,6,7}:{(209,1),(210,1),(212,1),(227,1),(228,1)}
       221:{3,5,6}:{(211,1),(214,1),(224,1),(226,1),(228,1)}
       222:{3,4,6,7}:{(211,1),(212,1),(213,1),(215,1),(225,1),(227,1),(228,1)}
       223:{1,5,7}:{(214,1),(215,1),(228,1)}
       224:{2,5,6}:{(216,1),(221,1),(229,1)}
       225:{2,4,6,7}:{(216,1),(217,1),(218,1),(222,1),(229,1)}
       226:{4,5,6}:{(219,1),(221,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{3,5,7}:{(221,1),(222,1),(223,1),(229,1),(230,1)}
       229:{2,5,7}:{(224,1),(225,1),(228,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

1633 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(16,1),(17,1),(20,1),(21,1),(38,1),(71,1),(95,1),(96,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(114,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(18,1),(19,1),(20,1),(127,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(15,1),(71,1),(97,1),(126,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(26,1),(27,1),(28,1)}
         5:{3,5,7}:{(2,1),(3,1),(9,1),(135,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(58,1),(62,1),(87,1),(92,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(58,1),(62,1),(86,1),(91,1),(111,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(36,1),(37,1),(38,1),(65,1),(106,1)}
         9:{3,5,6}:{(4,1),(5,1),(15,1)}
        10:{3,4,5,7}:{(5,1),(15,1),(18,1),(19,1),(45,1),(97,1),(101,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1),(45,1),(109,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(45,1),(108,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(41,1),(46,1),(107,1)}
        14:{3,5,6,7}:{(8,1),(9,1),(23,1),(82,1),(120,1)}
        15:{3,4,6}:{(9,1),(10,1),(26,1),(27,1),(58,1)}
        16:{1,3,5,6}:{(9,1),(11,1),(26,1),(28,1),(58,1)}
        17:{2,3,5,6}:{(9,1),(12,1),(27,1),(28,1),(58,1)}
        18:{1,4,5,7}:{(10,1),(11,1),(26,1),(112,1),(116,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(27,1),(111,1),(115,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(28,1),(121,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(58,1),(86,1),(87,1),(90,1)}
        22:{3,4,5,6}:{(15,1),(33,1),(34,1),(35,1),(68,1),(101,1),(125,1)}
        23:{3,4,6,7}:{(14,1),(15,1),(33,1),(36,1),(37,1),(71,1),(97,1),(125,1)}
        24:{1,3,5,6,7}:{(14,1),(16,1),(36,1),(38,1),(63,1),(71,1),(96,1),(130,1)}
        25:{2,3,5,6,7}:{(14,1),(17,1),(37,1),(38,1),(64,1),(71,1),(95,1),(129,1)}
        26:{1,4,6}:{(15,1),(16,1),(18,1)}
        27:{2,4,6}:{(15,1),(17,1),(19,1)}
        28:{1,2,5,6}:{(16,1),(17,1),(20,1),(41,1)}
        29:{1,3,4,5,7}:{(18,1),(39,1),(43,1),(45,1),(63,1),(79,1),(97,1),(101,1),(109,1),(124,1),(137,1)}
        30:{2,3,4,5,7}:{(19,1),(40,1),(44,1),(45,1),(64,1),(78,1),(97,1),(101,1),(108,1),(123,1),(137,1)}
        31:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(41,1),(45,1),(46,1),(76,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(42,1),(45,1),(46,1),(95,1),(96,1)}
        33:{3,4,5,7}:{(22,1),(23,1),(47,1),(48,1),(82,1)}
        34:{1,4,5,6}:{(22,1),(26,1),(47,1),(49,1),(116,1),(134,1)}
        35:{2,4,5,6}:{(22,1),(27,1),(48,1),(50,1),(115,1),(133,1)}
        36:{1,4,6,7}:{(23,1),(24,1),(26,1),(47,1),(112,1),(134,1)}
        37:{2,4,6,7}:{(23,1),(25,1),(27,1),(48,1),(111,1),(133,1)}
        38:{1,2,5,6,7}:{(24,1),(25,1),(28,1),(54,1),(80,1),(81,1),(136,1)}
        39:{1,3,4,6}:{(26,1),(29,1),(49,1),(56,1),(58,1),(85,1),(134,1),(139,1)}
        40:{2,3,4,6}:{(27,1),(30,1),(50,1),(57,1),(58,1),(85,1),(133,1),(139,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(58,1)}
        42:{1,2,3,5,6}:{(28,1),(32,1),(58,1),(59,1),(83,1),(84,1),(90,1),(93,1),(121,1)}
        43:{1,2,4,5,7}:{(29,1),(56,1),(60,1),(80,1),(94,1),(111,1),(115,1),(121,1)}
        44:{1,2,4,5,7}:{(30,1),(57,1),(61,1),(81,1),(94,1),(112,1),(116,1),(121,1)}
        45:{3,5,7}:{(31,1),(58,1),(62,1),(93,1)}
        46:{1,2,4,7}:{(32,1),(59,1),(62,1),(111,1),(112,1)}
        47:{1,4,5,7}:{(33,1),(34,1),(36,1),(63,1)}
        48:{2,4,5,7}:{(33,1),(35,1),(37,1),(64,1)}
        49:{1,3,5,6}:{(34,1),(39,1),(63,1),(66,1),(68,1),(109,1)}
        50:{2,3,5,6}:{(35,1),(40,1),(64,1),(67,1),(68,1),(108,1)}
        51:{1,2,4,5,6}:{(34,1),(35,1),(41,1),(65,1),(66,1),(67,1),(68,1),(76,1),(99,1),(100,1),(127,1),(138,1)}
        52:{1,3,4,6,7}:{(36,1),(39,1),(63,1),(69,1),(71,1),(97,1)}
        53:{2,3,4,6,7}:{(37,1),(40,1),(64,1),(70,1),(71,1),(97,1)}
        54:{1,2,4,6,7}:{(36,1),(37,1),(38,1),(41,1),(65,1),(71,1),(138,1)}
        55:{1,2,3,5,6,7}:{(38,1),(42,1),(71,1),(72,1),(95,1),(96,1),(102,1),(105,1),(128,1),(129,1),(130,1)}
        56:{1,2,4,6}:{(39,1),(43,1),(66,1),(73,1),(99,1)}
        57:{1,2,4,6}:{(40,1),(44,1),(67,1),(74,1),(100,1)}
        58:{3,6}:{(41,1),(45,1)}
        59:{1,2,4,6}:{(42,1),(46,1),(75,1),(76,1),(99,1),(100,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(73,1),(78,1),(108,1),(137,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(74,1),(79,1),(109,1),(137,1)}
        62:{3,4,7}:{(45,1),(46,1),(75,1)}
        63:{1,3,5,7}:{(47,1),(49,1),(52,1),(80,1),(82,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(53,1),(81,1),(82,1)}
        65:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(54,1),(80,1),(81,1),(82,1),(111,1),(112,1)}
        66:{1,2,5,6}:{(49,1),(56,1),(80,1),(83,1),(121,1)}
        67:{1,2,5,6}:{(50,1),(57,1),(81,1),(84,1),(121,1)}
        68:{3,5,6}:{(51,1),(58,1),(82,1),(85,1),(93,1),(135,1),(139,1)}
        69:{1,2,4,6,7}:{(52,1),(56,1),(80,1),(86,1),(111,1)}
        70:{1,2,4,6,7}:{(53,1),(57,1),(81,1),(87,1),(112,1)}
        71:{3,6,7}:{(54,1),(58,1),(82,1),(139,1)}
        72:{1,2,4,6,7}:{(55,1),(59,1),(88,1),(89,1),(111,1),(112,1),(133,1),(134,1)}
        73:{2,3,6}:{(56,1),(58,1),(60,1),(139,1)}
        74:{1,3,6}:{(57,1),(58,1),(61,1),(139,1)}
        75:{3,4,6}:{(58,1),(59,1),(62,1),(93,1)}
        76:{1,2,4,5}:{(59,1),(93,1),(115,1),(116,1),(121,1)}
        77:{1,2,3,5,7}:{(60,1),(61,1),(90,1),(94,1),(121,1)}
        78:{2,3,4,7}:{(60,1),(62,1),(91,1),(94,1),(111,1),(131,1)}
        79:{1,3,4,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(131,1)}
        80:{1,2,5,7}:{(63,1),(66,1),(69,1),(95,1)}
        81:{1,2,5,7}:{(64,1),(67,1),(70,1),(96,1)}
        82:{3,5,7}:{(65,1),(68,1),(71,1),(97,1)}
        83:{2,3,5,6}:{(66,1),(68,1),(73,1),(95,1),(99,1),(108,1)}
        84:{1,3,5,6}:{(67,1),(68,1),(74,1),(96,1),(100,1),(109,1)}
        85:{3,4,6}:{(68,1),(97,1),(99,1),(100,1),(101,1)}
        86:{2,3,6,7}:{(69,1),(71,1),(73,1),(95,1)}
        87:{1,3,6,7}:{(70,1),(71,1),(74,1),(96,1)}
        88:{3,4,6,7}:{(71,1),(72,1),(75,1),(97,1),(105,1),(125,1)}
        89:{1,2,4,5,7}:{(72,1),(76,1),(105,1),(106,1),(123,1),(124,1),(128,1)}
        90:{1,2,3,6}:{(73,1),(74,1),(77,1),(107,1)}
        91:{2,3,4,6}:{(73,1),(75,1),(78,1),(99,1),(107,1),(108,1),(126,1)}
        92:{1,3,4,6}:{(74,1),(75,1),(79,1),(100,1),(107,1),(109,1),(126,1)}
        93:{3,5}:{(75,1),(76,1)}
        94:{1,2,4,7}:{(77,1),(78,1),(79,1),(107,1)}
        95:{2,3,5,7}:{(80,1),(82,1),(83,1),(86,1),(111,1)}
        96:{1,3,5,7}:{(81,1),(82,1),(84,1),(87,1),(112,1)}
        97:{3,4,7}:{(82,1),(85,1),(111,1),(112,1)}
        98:{1,2,3,5,6}:{(83,1),(84,1),(90,1),(110,1),(114,1),(121,1),(135,1),(136,1),(139,1)}
        99:{2,4,6}:{(83,1),(85,1),(111,1),(115,1)}
       100:{1,4,6}:{(84,1),(85,1),(112,1),(116,1)}
       101:{3,4,5}:{(85,1),(93,1),(115,1),(116,1),(135,1)}
       102:{1,2,3,6,7}:{(86,1),(87,1),(90,1),(110,1),(117,1),(139,1)}
       103:{2,3,4,6,7}:{(86,1),(88,1),(91,1),(111,1),(117,1),(118,1),(131,1),(133,1),(139,1)}
       104:{1,3,4,6,7}:{(87,1),(88,1),(92,1),(112,1),(117,1),(119,1),(131,1),(134,1),(139,1)}
       105:{3,5,7}:{(88,1),(89,1),(93,1),(120,1)}
       106:{1,2,4,5,6}:{(89,1),(120,1),(133,1),(134,1),(136,1)}
       107:{1,2,4,6}:{(90,1),(91,1),(92,1),(94,1),(121,1)}
       108:{2,3,5}:{(91,1),(93,1),(115,1),(121,1),(135,1)}
       109:{1,3,5}:{(92,1),(93,1),(116,1),(121,1),(135,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(102,1),(122,1),(128,1),(137,1)}
       111:{2,4,7}:{(95,1),(97,1),(99,1)}
       112:{1,4,7}:{(96,1),(97,1),(100,1)}
       113:{3,4,5,7}:{(97,1),(101,1),(105,1),(123,1),(124,1),(125,1),(137,1)}
       114:{1,2,4,6}:{(98,1),(99,1),(100,1),(122,1),(126,1),(127,1)}
       115:{2,4,5}:{(99,1),(101,1),(108,1)}
       116:{1,4,5}:{(100,1),(101,1),(109,1)}
       117:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(107,1),(122,1),(128,1),(138,1)}
       118:{2,3,5,7}:{(103,1),(105,1),(108,1),(123,1),(128,1),(129,1),(137,1)}
       119:{1,3,5,7}:{(104,1),(105,1),(109,1),(124,1),(128,1),(130,1),(137,1)}
       120:{3,5,6}:{(105,1),(106,1),(125,1)}
       121:{1,2,5}:{(107,1),(108,1),(109,1)}
       122:{1,2,4,7}:{(110,1),(111,1),(112,1),(114,1),(131,1)}
       123:{2,4,5,7}:{(111,1),(113,1),(115,1),(118,1),(133,1)}
       124:{1,4,5,7}:{(112,1),(113,1),(116,1),(119,1),(134,1)}
       125:{3,4,6}:{(113,1),(120,1),(133,1),(134,1),(139,1)}
       126:{3,4,6}:{(114,1),(131,1),(135,1),(139,1)}
       127:{1,2,4,5}:{(114,1),(115,1),(116,1),(121,1),(135,1)}
       128:{1,2,5,7}:{(117,1),(118,1),(119,1),(121,1),(136,1)}
       129:{2,3,5,6}:{(118,1),(120,1),(133,1),(136,1),(139,1)}
       130:{1,3,5,6}:{(119,1),(120,1),(134,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(126,1),(137,1)}
       132:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(127,1),(128,1),(137,1),(138,1)}
       133:{2,4,6}:{(123,1),(125,1),(129,1)}
       134:{1,4,6}:{(124,1),(125,1),(130,1)}
       135:{3,5}:{(126,1),(127,1)}
       136:{1,2,5,6}:{(128,1),(129,1),(130,1),(138,1)}
       137:{3,5,7}:{(131,1),(132,1),(135,1),(139,1)}
       138:{1,2,4,6}:{(132,1),(133,1),(134,1),(136,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1634 :   0:{1,2,3,6,7}:{(2,1),(3,1),(45,1),(82,1),(83,1),(84,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(13,1),(14,1),(17,1),(45,1),(47,1),(48,1),(49,1),(82,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(23,1),(26,1),(63,1),(68,1),(69,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(27,1),(93,1),(94,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(60,1),(61,1)}
         5:{3,4,6,7}:{(3,1),(10,1),(11,1),(36,1),(45,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(11,1),(80,1),(81,1)}
         7:{1,2,5,7}:{(3,1),(10,1),(13,1),(100,1),(101,1)}
         8:{3,4,6}:{(4,1),(11,1),(17,1),(45,1)}
         9:{1,2,4,5}:{(4,1),(17,1),(39,1),(40,1),(47,1)}
        10:{3,5,7}:{(5,1),(7,1),(19,1),(20,1)}
        11:{3,4,7}:{(6,1),(8,1),(26,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(19,1),(26,1),(27,1),(54,1),(55,1),(63,1)}
        13:{1,2,5,6}:{(7,1),(20,1),(27,1),(88,1),(89,1)}
        14:{1,2,3,6}:{(21,1),(23,1),(29,1),(95,1)}
        15:{2,3,4,6}:{(8,1),(24,1),(29,1),(30,1),(58,1),(60,1),(64,1),(86,1),(95,1)}
        16:{1,3,4,6}:{(8,1),(25,1),(29,1),(31,1),(58,1),(61,1),(65,1),(86,1),(95,1)}
        17:{3,5}:{(8,1),(9,1)}
        18:{1,2,4,5,6}:{(9,1),(27,1),(32,1),(33,1),(52,1),(60,1),(61,1),(67,1),(88,1),(89,1)}
        19:{4,5,7}:{(10,1),(36,1)}
        20:{3,5,6}:{(10,1),(13,1),(36,1),(45,1)}
        21:{1,2,3,5}:{(14,1),(38,1),(47,1),(78,1)}
        22:{3,4,5}:{(17,1),(39,1),(40,1),(41,1),(78,1)}
        23:{1,2,3,7}:{(14,1),(42,1),(104,1)}
        24:{2,3,4,7}:{(11,1),(15,1),(42,1),(43,1),(73,1),(80,1),(104,1)}
        25:{1,3,4,7}:{(11,1),(16,1),(42,1),(44,1),(73,1),(81,1),(104,1)}
        26:{3,5,7}:{(11,1),(12,1),(17,1),(45,1)}
        27:{1,2,4,6}:{(12,1),(13,1),(36,1),(45,1),(75,1),(76,1),(82,1)}
        28:{1,2,5,6,7}:{(13,1),(37,1),(46,1),(100,1),(101,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(16,1),(38,1),(42,1),(47,1),(82,1)}
        30:{2,3,5}:{(15,1),(17,1),(39,1),(47,1),(78,1),(98,1)}
        31:{1,3,5}:{(16,1),(17,1),(40,1),(47,1),(78,1),(98,1)}
        32:{3,5,6}:{(17,1),(18,1),(41,1),(45,1),(50,1)}
        33:{1,2,4,5,7}:{(18,1),(46,1),(50,1),(72,1),(80,1),(81,1),(85,1),(100,1),(101,1)}
        34:{1,2,3,5,7}:{(21,1),(23,1),(51,1),(53,1),(63,1),(87,1),(91,1)}
        35:{3,4,5,7}:{(19,1),(22,1),(26,1),(54,1),(55,1),(56,1),(62,1),(90,1),(91,1),(105,1),(111,1)}
        36:{4,6}:{(19,1),(20,1)}
        37:{3,5,6,7}:{(20,1),(28,1),(57,1),(66,1),(90,1)}
        38:{1,2,4}:{(21,1),(58,1)}
        39:{2,4,5}:{(22,1),(30,1),(60,1),(105,1)}
        40:{1,4,5}:{(22,1),(31,1),(61,1),(105,1)}
        41:{3,4,6}:{(22,1),(32,1),(60,1),(61,1),(62,1),(95,1)}
        42:{1,2,4,7}:{(23,1),(24,1),(25,1),(29,1),(63,1)}
        43:{2,3,5,7}:{(24,1),(26,1),(30,1),(54,1),(63,1),(64,1),(91,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(31,1),(55,1),(63,1),(65,1),(91,1)}
        45:{3,6}:{(26,1),(27,1)}
        46:{1,2,4,6,7}:{(27,1),(28,1),(33,1),(57,1),(66,1),(93,1),(94,1),(97,1)}
        47:{1,2,5}:{(29,1),(30,1),(31,1)}
        48:{2,3,5,6}:{(30,1),(32,1),(60,1),(64,1),(67,1),(68,1),(88,1),(95,1),(106,1)}
        49:{1,3,5,6}:{(31,1),(32,1),(61,1),(65,1),(67,1),(69,1),(89,1),(95,1),(106,1)}
        50:{3,5,7}:{(32,1),(33,1),(62,1),(66,1)}
        51:{1,2,3,6}:{(34,1),(70,1),(82,1),(102,1)}
        52:{4,5,6}:{(36,1),(71,1),(72,1),(109,1)}
        53:{1,2,4,7}:{(34,1),(38,1),(70,1),(73,1)}
        54:{2,4,5,7}:{(35,1),(39,1),(43,1),(75,1),(80,1),(100,1)}
        55:{1,4,5,7}:{(35,1),(40,1),(44,1),(76,1),(81,1),(101,1)}
        56:{3,4,6}:{(35,1),(36,1),(45,1),(71,1),(75,1),(76,1),(102,1),(109,1)}
        57:{4,6,7}:{(36,1),(37,1),(72,1)}
        58:{3,4}:{(38,1),(78,1)}
        59:{1,2,4,5}:{(38,1),(39,1),(40,1),(47,1),(78,1),(79,1)}
        60:{2,4,6}:{(39,1),(41,1),(48,1),(80,1),(109,1)}
        61:{1,4,6}:{(40,1),(41,1),(49,1),(81,1),(109,1)}
        62:{3,4,7}:{(41,1),(50,1),(80,1),(81,1),(104,1)}
        63:{1,2,5,7}:{(42,1),(43,1),(44,1),(47,1),(82,1)}
        64:{2,3,6}:{(43,1),(45,1),(75,1),(82,1),(102,1)}
        65:{1,3,6}:{(44,1),(45,1),(76,1),(82,1),(102,1)}
        66:{3,6,7}:{(45,1),(46,1),(50,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(49,1),(79,1),(82,1),(85,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(80,1),(83,1),(85,1),(100,1),(104,1),(110,1)}
        69:{1,3,5,7}:{(49,1),(50,1),(81,1),(84,1),(85,1),(101,1),(104,1),(110,1)}
        70:{1,2,4,6}:{(51,1),(53,1),(86,1),(87,1)}
        71:{3,5,6}:{(52,1),(56,1),(88,1),(89,1),(90,1)}
        72:{4,5,7}:{(52,1),(57,1),(90,1),(111,1)}
        73:{3,4,7}:{(53,1),(58,1),(86,1),(91,1),(111,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(59,1),(63,1),(87,1),(91,1),(92,1),(96,1),(105,1),(107,1),(111,1)}
        75:{2,4,6}:{(54,1),(56,1),(64,1),(88,1)}
        76:{1,4,6}:{(55,1),(56,1),(65,1),(89,1)}
        77:{3,4,6,7}:{(56,1),(57,1),(62,1),(66,1),(90,1),(93,1),(94,1),(108,1),(111,1)}
        78:{3,5}:{(58,1),(59,1),(95,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(67,1),(95,1),(96,1)}
        80:{2,4,7}:{(60,1),(62,1),(68,1),(111,1)}
        81:{1,4,7}:{(61,1),(62,1),(69,1),(111,1)}
        82:{1,2,6}:{(63,1),(64,1),(65,1)}
        83:{2,3,6,7}:{(64,1),(66,1),(68,1),(93,1),(97,1),(108,1)}
        84:{1,3,6,7}:{(65,1),(66,1),(69,1),(94,1),(97,1),(108,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(96,1),(97,1)}
        86:{3,4,6}:{(70,1),(73,1),(98,1),(102,1),(109,1)}
        87:{1,2,5}:{(70,1),(98,1)}
        88:{2,5,6}:{(71,1),(75,1),(100,1)}
        89:{1,5,6}:{(71,1),(76,1),(101,1)}
        90:{3,5,7}:{(71,1),(72,1),(77,1),(100,1),(101,1)}
        91:{3,5,7}:{(73,1),(74,1),(78,1),(98,1),(102,1),(104,1)}
        92:{1,2,4,6}:{(74,1),(75,1),(76,1),(82,1),(99,1),(102,1),(109,1)}
        93:{2,4,6,7}:{(75,1),(77,1),(80,1),(83,1),(100,1)}
        94:{1,4,6,7}:{(76,1),(77,1),(81,1),(84,1),(101,1)}
        95:{3,6}:{(78,1),(79,1),(104,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(85,1),(104,1)}
        97:{1,2,6,7}:{(82,1),(83,1),(84,1),(85,1)}
        98:{3,5}:{(86,1),(87,1),(105,1)}
        99:{1,2,5,6}:{(87,1),(88,1),(89,1),(92,1),(106,1),(107,1)}
       100:{2,5,7}:{(88,1),(90,1),(93,1)}
       101:{1,5,7}:{(89,1),(90,1),(94,1)}
       102:{3,6}:{(91,1),(92,1)}
       103:{1,2,4,6,7}:{(92,1),(93,1),(94,1),(96,1),(97,1),(107,1),(108,1),(111,1)}
       104:{3,7}:{(95,1),(96,1)}
       105:{4,5}:{(98,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(102,1),(109,1),(110,1)}
       107:{1,2,5,7}:{(99,1),(100,1),(101,1),(103,1),(110,1)}
       108:{3,6,7}:{(102,1),(103,1),(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1635 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(29,1),(191,1),(198,1),(220,1)}
         1:{1,3,4,5}:{(5,1),(6,1),(79,1),(84,1),(150,1)}
         2:{3,4,5,7}:{(0,1),(11,1),(12,1),(13,1),(50,1),(174,1)}
         3:{1,4,5,6}:{(0,1),(9,1),(12,1),(178,1),(214,1)}
         4:{2,4,5,6}:{(0,1),(8,1),(13,1),(204,1),(225,1)}
         5:{1,3,4,6}:{(1,1),(9,1),(16,1),(17,1),(51,1)}
         6:{1,2,4,5}:{(1,1),(17,1),(18,1),(57,1),(109,1),(119,1)}
         7:{2,3,4,5}:{(19,1),(20,1),(79,1),(125,1),(185,1)}
         8:{2,3,5,6}:{(4,1),(19,1),(21,1),(22,1),(29,1),(185,1),(217,1)}
         9:{1,3,5,6}:{(3,1),(5,1),(23,1),(24,1),(29,1),(150,1),(201,1)}
        10:{4,5,6,7}:{(25,1),(143,1),(230,1)}
        11:{3,4,6,7}:{(2,1),(25,1),(26,1),(27,1),(77,1),(143,1),(220,1)}
        12:{1,4,5,7}:{(2,1),(3,1),(23,1),(26,1)}
        13:{2,4,5,7}:{(2,1),(4,1),(21,1),(27,1)}
        14:{1,2,4,5,6}:{(3,1),(4,1),(22,1),(24,1),(28,1),(29,1),(72,1),(75,1),(138,1),(195,1),(196,1),(197,1),(198,1)}
        15:{2,3,4,5}:{(30,1),(31,1),(35,1),(88,1),(191,1)}
        16:{1,3,4,7}:{(5,1),(23,1),(33,1),(78,1)}
        17:{1,2,4,6}:{(5,1),(6,1),(24,1),(33,1),(34,1),(75,1)}
        18:{2,3,5}:{(6,1),(34,1),(35,1)}
        19:{2,3,4,6}:{(7,1),(8,1),(37,1),(38,1),(51,1)}
        20:{1,2,4,5}:{(7,1),(38,1),(39,1),(94,1),(106,1),(159,1)}
        21:{2,3,5,7}:{(8,1),(13,1),(37,1),(41,1),(42,1),(50,1)}
        22:{1,2,5,6}:{(8,1),(38,1),(42,1),(43,1),(159,1),(206,1)}
        23:{1,3,5,7}:{(9,1),(12,1),(16,1),(44,1),(45,1),(50,1)}
        24:{1,2,5,6}:{(9,1),(17,1),(45,1),(46,1),(119,1),(180,1)}
        25:{3,5,6,7}:{(10,1),(11,1),(47,1),(48,1),(227,1)}
        26:{1,4,6,7}:{(11,1),(12,1),(44,1),(47,1),(214,1)}
        27:{2,4,6,7}:{(11,1),(13,1),(41,1),(48,1),(225,1)}
        28:{1,2,4,5,7}:{(12,1),(13,1),(14,1),(42,1),(45,1),(49,1),(50,1),(105,1),(108,1),(170,1),(172,1),(174,1)}
        29:{3,5,6}:{(14,1),(50,1),(51,1),(167,1),(211,1)}
        30:{2,3,4,6}:{(15,1),(52,1),(53,1),(54,1),(165,1)}
        31:{1,2,4,5}:{(15,1),(54,1),(55,1),(57,1),(119,1),(178,1)}
        32:{1,2,3,5}:{(18,1),(55,1),(56,1),(57,1),(119,1)}
        33:{1,2,4,7}:{(16,1),(17,1),(45,1),(58,1),(108,1)}
        34:{2,3,6}:{(17,1),(18,1),(58,1)}
        35:{2,3,4}:{(18,1),(57,1)}
        36:{1,3,4,5}:{(60,1),(61,1),(65,1),(129,1),(191,1)}
        37:{2,3,4,7}:{(19,1),(21,1),(63,1),(78,1)}
        38:{1,2,4,6}:{(19,1),(20,1),(22,1),(63,1),(64,1),(72,1)}
        39:{1,3,5}:{(20,1),(64,1),(65,1)}
        40:{3,4,5,6}:{(66,1),(67,1),(68,1),(79,1),(134,1),(145,1),(230,1)}
        41:{2,3,6,7}:{(21,1),(27,1),(70,1),(77,1),(217,1)}
        42:{1,2,5,7}:{(21,1),(22,1),(63,1),(70,1),(71,1)}
        43:{1,3,5,6}:{(22,1),(29,1),(64,1),(71,1),(72,1),(129,1),(187,1),(196,1)}
        44:{1,3,6,7}:{(23,1),(26,1),(73,1),(77,1),(201,1)}
        45:{1,2,5,7}:{(23,1),(24,1),(33,1),(73,1),(74,1)}
        46:{2,3,5,6}:{(24,1),(29,1),(34,1),(74,1),(75,1),(88,1),(152,1),(197,1)}
        47:{1,5,6,7}:{(25,1),(26,1),(223,1)}
        48:{2,5,6,7}:{(25,1),(27,1),(229,1)}
        49:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(70,1),(73,1),(76,1),(77,1),(139,1),(141,1),(143,1),(195,1)}
        50:{3,5,7}:{(28,1),(29,1),(77,1),(78,1)}
        51:{3,4,6}:{(29,1),(72,1),(75,1),(78,1),(79,1)}
        52:{2,3,5,6}:{(30,1),(68,1),(80,1),(81,1),(88,1),(134,1),(152,1)}
        53:{2,3,4,7}:{(30,1),(80,1),(82,1),(190,1)}
        54:{1,2,4,6}:{(30,1),(31,1),(81,1),(82,1),(83,1),(148,1)}
        55:{1,3,5}:{(31,1),(83,1),(84,1)}
        56:{1,2,3,6}:{(32,1),(34,1),(83,1),(85,1),(86,1)}
        57:{1,2,4}:{(32,1),(35,1),(84,1)}
        58:{2,3,7}:{(33,1),(34,1)}
        59:{2,3,4,6}:{(34,1),(35,1),(75,1),(86,1),(87,1),(88,1),(135,1),(152,1)}
        60:{1,3,4,6}:{(36,1),(89,1),(90,1),(91,1),(165,1)}
        61:{1,2,4,5}:{(36,1),(91,1),(92,1),(94,1),(159,1),(204,1)}
        62:{1,2,3,5}:{(39,1),(92,1),(93,1),(94,1),(159,1)}
        63:{1,2,4,7}:{(37,1),(38,1),(42,1),(95,1),(105,1)}
        64:{1,3,6}:{(38,1),(39,1),(95,1)}
        65:{1,3,4}:{(39,1),(94,1)}
        66:{3,4,5,7}:{(40,1),(98,1),(99,1),(100,1),(164,1),(226,1)}
        67:{1,4,5,6}:{(40,1),(89,1),(99,1),(106,1),(171,1)}
        68:{2,4,5,6}:{(40,1),(52,1),(100,1),(109,1),(173,1)}
        69:{1,2,3,5,6}:{(43,1),(46,1),(56,1),(93,1),(102,1),(103,1),(115,1),(119,1),(155,1),(159,1),(167,1),(180,1),(206,1),(211,1),(212,1)}
        70:{1,2,6,7}:{(41,1),(42,1),(104,1),(206,1)}
        71:{1,3,5,7}:{(42,1),(43,1),(50,1),(95,1),(104,1),(105,1),(170,1)}
        72:{1,4,6}:{(43,1),(51,1),(105,1),(106,1)}
        73:{1,2,6,7}:{(44,1),(45,1),(107,1),(180,1)}
        74:{2,3,5,7}:{(45,1),(46,1),(50,1),(58,1),(107,1),(108,1),(172,1)}
        75:{2,4,6}:{(46,1),(51,1),(108,1),(109,1)}
        76:{1,2,5,6,7}:{(47,1),(48,1),(49,1),(110,1),(170,1),(172,1),(212,1)}
        77:{3,6,7}:{(49,1),(50,1),(211,1)}
        78:{3,4,7}:{(50,1),(51,1),(105,1),(108,1)}
        79:{3,4,5}:{(51,1),(106,1),(109,1),(167,1)}
        80:{2,3,5,7}:{(52,1),(53,1),(100,1),(113,1),(114,1),(164,1)}
        81:{1,2,5,6}:{(52,1),(54,1),(114,1),(115,1),(119,1),(180,1)}
        82:{1,2,4,7}:{(53,1),(54,1),(114,1),(116,1),(177,1)}
        83:{1,3,6}:{(54,1),(55,1),(116,1)}
        84:{1,3,4}:{(55,1),(57,1)}
        85:{1,2,3,7}:{(56,1),(58,1),(116,1),(118,1)}
        86:{1,2,4,6}:{(56,1),(57,1),(59,1),(117,1),(118,1),(119,1),(180,1)}
        87:{2,3,4,7}:{(58,1),(59,1),(108,1),(118,1),(120,1),(166,1)}
        88:{2,3,5}:{(59,1),(109,1),(119,1),(167,1)}
        89:{1,3,5,6}:{(60,1),(67,1),(121,1),(122,1),(129,1),(134,1),(187,1)}
        90:{1,3,4,7}:{(60,1),(121,1),(123,1),(190,1)}
        91:{1,2,4,6}:{(60,1),(61,1),(122,1),(123,1),(124,1),(183,1)}
        92:{2,3,5}:{(61,1),(124,1),(125,1)}
        93:{1,2,3,6}:{(62,1),(64,1),(124,1),(126,1),(127,1)}
        94:{1,2,4}:{(62,1),(65,1),(125,1)}
        95:{1,3,7}:{(63,1),(64,1)}
        96:{1,3,4,6}:{(64,1),(65,1),(72,1),(127,1),(128,1),(129,1),(135,1),(187,1)}
        97:{4,5,6,7}:{(130,1),(198,1),(218,1)}
        98:{3,4,6,7}:{(66,1),(130,1),(131,1),(132,1),(145,1),(189,1),(218,1)}
        99:{1,4,5,7}:{(66,1),(67,1),(121,1),(131,1)}
       100:{2,4,5,7}:{(66,1),(68,1),(80,1),(132,1)}
       101:{1,2,4,5,6}:{(67,1),(68,1),(81,1),(122,1),(133,1),(134,1),(138,1),(148,1),(183,1),(195,1),(223,1),(229,1),(230,1)}
       102:{1,2,3,5,7}:{(69,1),(71,1),(74,1),(85,1),(126,1),(136,1),(137,1),(147,1),(151,1),(182,1),(186,1),(193,1),(194,1)}
       103:{1,2,4,6}:{(69,1),(72,1),(75,1),(135,1),(137,1),(138,1),(148,1),(183,1)}
       104:{1,3,6,7}:{(70,1),(71,1),(77,1),(139,1),(187,1)}
       105:{1,4,7}:{(71,1),(72,1),(78,1)}
       106:{1,4,5}:{(72,1),(79,1),(129,1)}
       107:{2,3,6,7}:{(73,1),(74,1),(77,1),(141,1),(152,1)}
       108:{2,4,7}:{(74,1),(75,1),(78,1)}
       109:{2,4,5}:{(75,1),(79,1),(88,1)}
       110:{3,5,6,7}:{(76,1),(77,1),(143,1),(144,1),(222,1)}
       111:{3,4,6,7}:{(77,1),(78,1),(139,1),(141,1),(143,1),(144,1),(145,1)}
       112:{3,4,5,7}:{(78,1),(79,1),(140,1),(142,1),(144,1),(145,1),(193,1),(221,1)}
       113:{2,3,6,7}:{(80,1),(132,1),(146,1),(152,1),(189,1)}
       114:{1,2,5,7}:{(80,1),(81,1),(82,1),(146,1),(147,1)}
       115:{1,3,5,6}:{(81,1),(83,1),(134,1),(147,1),(148,1),(150,1),(201,1),(223,1)}
       116:{1,3,7}:{(82,1),(83,1)}
       117:{1,3,4,6}:{(83,1),(84,1),(86,1),(135,1),(148,1),(149,1),(150,1),(201,1)}
       118:{1,2,4,7}:{(85,1),(86,1),(87,1),(149,1),(151,1)}
       119:{1,2,5}:{(86,1),(88,1),(150,1)}
       120:{2,3,5,7}:{(87,1),(88,1),(142,1),(151,1),(152,1),(193,1)}
       121:{1,3,5,7}:{(89,1),(90,1),(99,1),(153,1),(154,1),(164,1)}
       122:{1,2,5,6}:{(89,1),(91,1),(154,1),(155,1),(159,1),(206,1)}
       123:{1,2,4,7}:{(90,1),(91,1),(154,1),(156,1),(203,1)}
       124:{2,3,6}:{(91,1),(92,1),(156,1)}
       125:{2,3,4}:{(92,1),(94,1)}
       126:{1,2,3,7}:{(93,1),(95,1),(156,1),(158,1)}
       127:{1,2,4,6}:{(93,1),(94,1),(96,1),(157,1),(158,1),(159,1),(206,1)}
       128:{1,3,4,7}:{(95,1),(96,1),(105,1),(158,1),(160,1),(166,1)}
       129:{1,3,5}:{(96,1),(106,1),(159,1),(167,1)}
       130:{3,5,6,7}:{(97,1),(98,1),(161,1),(162,1),(175,1)}
       131:{1,4,6,7}:{(98,1),(99,1),(153,1),(161,1),(171,1)}
       132:{2,4,6,7}:{(98,1),(100,1),(113,1),(162,1),(173,1)}
       133:{1,2,4,5,7}:{(99,1),(100,1),(101,1),(114,1),(154,1),(163,1),(164,1),(177,1),(203,1),(213,1),(224,1),(226,1)}
       134:{3,5,6}:{(101,1),(164,1),(165,1),(167,1),(211,1)}
       135:{3,4,6}:{(103,1),(166,1),(167,1),(211,1)}
       136:{1,2,3,6,7}:{(102,1),(104,1),(107,1),(168,1),(176,1),(180,1),(202,1),(206,1),(211,1)}
       137:{1,2,4,7}:{(102,1),(103,1),(105,1),(108,1),(166,1),(177,1),(203,1)}
       138:{1,2,4,5}:{(103,1),(106,1),(109,1),(119,1),(159,1),(167,1),(178,1),(204,1)}
       139:{1,4,6,7}:{(104,1),(105,1),(111,1),(170,1),(171,1)}
       140:{1,4,5,7}:{(105,1),(106,1),(112,1),(160,1),(170,1),(171,1)}
       141:{2,4,6,7}:{(107,1),(108,1),(111,1),(172,1),(173,1)}
       142:{2,4,5,7}:{(108,1),(109,1),(112,1),(120,1),(172,1),(173,1)}
       143:{4,6,7}:{(110,1),(174,1),(228,1)}
       144:{3,5,7}:{(111,1),(170,1),(172,1),(174,1),(175,1)}
       145:{3,4,6}:{(112,1),(171,1),(173,1),(175,1),(211,1),(228,1)}
       146:{1,2,6,7}:{(113,1),(114,1),(176,1),(180,1)}
       147:{1,3,5,7}:{(114,1),(115,1),(116,1),(164,1),(176,1),(177,1),(213,1)}
       148:{1,4,6}:{(115,1),(165,1),(177,1),(178,1)}
       149:{1,3,4,7}:{(116,1),(117,1),(118,1),(166,1),(177,1),(179,1)}
       150:{1,3,5}:{(117,1),(119,1),(167,1),(178,1)}
       151:{1,2,5,7}:{(118,1),(119,1),(120,1),(179,1),(180,1)}
       152:{2,3,6}:{(120,1),(173,1),(180,1),(211,1)}
       153:{1,3,6,7}:{(121,1),(131,1),(181,1),(187,1),(189,1)}
       154:{1,2,5,7}:{(121,1),(122,1),(123,1),(181,1),(182,1)}
       155:{2,3,5,6}:{(122,1),(124,1),(134,1),(182,1),(183,1),(185,1),(217,1),(229,1)}
       156:{2,3,7}:{(123,1),(124,1)}
       157:{2,3,4,6}:{(124,1),(125,1),(127,1),(135,1),(183,1),(184,1),(185,1),(217,1)}
       158:{1,2,4,7}:{(126,1),(127,1),(128,1),(184,1),(186,1)}
       159:{1,2,5}:{(127,1),(129,1),(185,1)}
       160:{1,3,5,7}:{(128,1),(129,1),(140,1),(186,1),(187,1),(193,1)}
       161:{1,5,6,7}:{(130,1),(131,1),(196,1)}
       162:{2,5,6,7}:{(130,1),(132,1),(197,1)}
       163:{1,2,4,6,7}:{(131,1),(132,1),(133,1),(146,1),(181,1),(188,1),(189,1),(195,1),(199,1),(215,1),(218,1)}
       164:{3,5,7}:{(133,1),(134,1),(189,1),(190,1)}
       165:{3,4,6}:{(134,1),(148,1),(183,1),(190,1),(191,1)}
       166:{3,4,7}:{(135,1),(137,1),(193,1)}
       167:{3,5}:{(135,1),(138,1)}
       168:{1,2,4,6,7}:{(136,1),(137,1),(139,1),(141,1),(192,1),(194,1),(195,1),(199,1),(215,1)}
       169:{1,2,4,5,7}:{(137,1),(138,1),(140,1),(142,1),(151,1),(186,1),(193,1),(194,1),(195,1),(200,1),(216,1),(221,1)}
       170:{1,5,7}:{(139,1),(144,1),(196,1)}
       171:{1,4,6}:{(140,1),(145,1),(187,1),(196,1)}
       172:{2,5,7}:{(141,1),(144,1),(197,1)}
       173:{2,4,6}:{(142,1),(145,1),(152,1),(197,1)}
       174:{4,5,7}:{(143,1),(144,1),(198,1)}
       175:{3,5,6}:{(144,1),(145,1),(196,1),(197,1),(198,1)}
       176:{1,3,6,7}:{(146,1),(147,1),(189,1),(199,1),(201,1)}
       177:{1,4,7}:{(147,1),(148,1),(190,1)}
       178:{1,4,5}:{(148,1),(150,1),(191,1)}
       179:{1,3,5,7}:{(149,1),(150,1),(151,1),(193,1),(200,1),(201,1)}
       180:{1,2,6}:{(151,1),(152,1),(201,1)}
       181:{1,2,6,7}:{(153,1),(154,1),(202,1),(206,1)}
       182:{2,3,5,7}:{(154,1),(155,1),(156,1),(164,1),(202,1),(203,1),(224,1)}
       183:{2,4,6}:{(155,1),(165,1),(203,1),(204,1)}
       184:{2,3,4,7}:{(156,1),(157,1),(158,1),(166,1),(203,1),(205,1)}
       185:{2,3,5}:{(157,1),(159,1),(167,1),(204,1)}
       186:{1,2,5,7}:{(158,1),(159,1),(160,1),(205,1),(206,1)}
       187:{1,3,6}:{(160,1),(171,1),(206,1),(211,1)}
       188:{1,2,5,6,7}:{(161,1),(162,1),(163,1),(207,1),(212,1),(213,1),(224,1)}
       189:{3,6,7}:{(163,1),(164,1),(211,1)}
       190:{3,4,7}:{(164,1),(165,1),(177,1),(203,1)}
       191:{3,4,5}:{(165,1),(167,1),(178,1),(204,1)}
       192:{3,4,6,7}:{(166,1),(168,1),(210,1),(211,1),(228,1)}
       193:{3,5,7}:{(166,1),(167,1),(169,1),(211,1)}
       194:{1,2,5,7}:{(168,1),(170,1),(172,1),(210,1),(212,1),(213,1),(224,1)}
       195:{1,2,4,6}:{(169,1),(171,1),(173,1),(180,1),(206,1),(211,1),(212,1),(214,1),(225,1),(228,1)}
       196:{1,5,6}:{(170,1),(171,1),(175,1)}
       197:{2,5,6}:{(172,1),(173,1),(175,1)}
       198:{4,5,6}:{(174,1),(175,1),(228,1)}
       199:{1,4,6,7}:{(176,1),(177,1),(208,1),(213,1),(214,1)}
       200:{1,4,5,7}:{(177,1),(178,1),(179,1),(209,1),(213,1),(214,1)}
       201:{1,3,6}:{(179,1),(180,1),(211,1),(214,1)}
       202:{2,3,6,7}:{(181,1),(182,1),(189,1),(215,1),(217,1)}
       203:{2,4,7}:{(182,1),(183,1),(190,1)}
       204:{2,4,5}:{(183,1),(185,1),(191,1)}
       205:{2,3,5,7}:{(184,1),(185,1),(186,1),(193,1),(216,1),(217,1)}
       206:{1,2,6}:{(186,1),(187,1),(217,1)}
       207:{3,5,6,7}:{(188,1),(189,1),(218,1),(219,1),(222,1)}
       208:{3,4,6,7}:{(189,1),(190,1),(199,1),(215,1),(218,1),(219,1),(220,1)}
       209:{3,4,5,7}:{(190,1),(191,1),(193,1),(200,1),(216,1),(219,1),(220,1),(221,1)}
       210:{3,5,7}:{(192,1),(194,1),(221,1),(222,1)}
       211:{3,6}:{(193,1),(195,1)}
       212:{1,2,5,6}:{(194,1),(195,1),(196,1),(197,1),(222,1),(223,1),(229,1)}
       213:{1,5,7}:{(199,1),(219,1),(223,1)}
       214:{1,4,6}:{(200,1),(201,1),(220,1),(223,1)}
       215:{2,4,6,7}:{(202,1),(203,1),(208,1),(224,1),(225,1)}
       216:{2,4,5,7}:{(203,1),(204,1),(205,1),(209,1),(224,1),(225,1)}
       217:{2,3,6}:{(205,1),(206,1),(211,1),(225,1)}
       218:{4,6,7}:{(207,1),(226,1),(228,1)}
       219:{3,5,7}:{(208,1),(213,1),(224,1),(226,1),(227,1)}
       220:{3,4,6}:{(209,1),(211,1),(214,1),(225,1),(227,1),(228,1)}
       221:{4,5,7}:{(210,1),(228,1)}
       222:{3,5,6}:{(210,1),(211,1),(212,1),(228,1)}
       223:{1,5,6}:{(213,1),(214,1),(227,1)}
       224:{2,5,7}:{(215,1),(219,1),(229,1)}
       225:{2,4,6}:{(216,1),(217,1),(220,1),(229,1)}
       226:{4,5,7}:{(218,1),(219,1),(230,1)}
       227:{3,5,6}:{(219,1),(220,1),(223,1),(229,1),(230,1)}
       228:{4,6}:{(221,1),(222,1)}
       229:{2,5,6}:{(224,1),(225,1),(227,1)}
       230:{4,5,6}:{(226,1),(227,1),(228,1)}

1636 :   0:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(27,1),(29,1),(50,1),(66,1)}
         1:{2,3,5,6,7}:{(4,1),(6,1),(16,1),(28,1),(29,1),(56,1),(67,1)}
         2:{2,3,4,6,7}:{(7,1),(8,1),(15,1),(33,1),(49,1),(70,1),(72,1),(85,1),(108,1),(113,1),(119,1)}
         3:{1,3,4,6,7}:{(9,1),(10,1),(14,1),(38,1),(48,1),(76,1),(78,1),(84,1),(107,1),(112,1),(119,1)}
         4:{1,2,5,6,7}:{(0,1),(1,1),(13,1),(32,1),(37,1),(46,1),(47,1),(86,1)}
         5:{1,4,6,7}:{(0,1),(11,1),(14,1),(38,1),(69,1),(84,1)}
         6:{2,4,6,7}:{(1,1),(12,1),(15,1),(33,1),(75,1),(85,1)}
         7:{1,2,4,6,7}:{(2,1),(17,1),(18,1),(31,1),(51,1),(53,1),(68,1),(105,1),(126,1)}
         8:{2,3,5,7}:{(2,1),(16,1),(18,1),(19,1),(28,1),(54,1),(121,1),(125,1)}
         9:{1,2,4,6,7}:{(3,1),(21,1),(22,1),(30,1),(57,1),(59,1),(68,1),(105,1),(122,1)}
        10:{1,3,5,7}:{(3,1),(20,1),(22,1),(23,1),(27,1),(60,1),(120,1),(124,1)}
        11:{1,4,5,7}:{(5,1),(24,1),(27,1),(87,1)}
        12:{2,4,5,7}:{(6,1),(25,1),(28,1),(94,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(26,1),(29,1),(30,1),(31,1),(51,1),(57,1),(68,1),(105,1)}
        14:{3,4,6,7}:{(5,1),(27,1),(29,1),(30,1),(58,1),(65,1),(88,1)}
        15:{3,4,6,7}:{(6,1),(28,1),(29,1),(31,1),(52,1),(65,1),(95,1)}
        16:{2,3,5,6}:{(8,1),(32,1),(33,1),(44,1),(70,1)}
        17:{1,3,6,7}:{(7,1),(34,1),(70,1),(119,1),(133,1)}
        18:{1,2,5,7}:{(7,1),(8,1),(32,1),(34,1),(47,1),(132,1)}
        19:{2,4,5,7}:{(8,1),(33,1),(36,1),(85,1),(117,1)}
        20:{1,3,5,6}:{(10,1),(37,1),(38,1),(43,1),(76,1)}
        21:{2,3,6,7}:{(9,1),(39,1),(76,1),(119,1),(131,1)}
        22:{1,2,5,7}:{(9,1),(10,1),(37,1),(39,1),(46,1),(130,1)}
        23:{1,4,5,7}:{(10,1),(38,1),(41,1),(84,1),(116,1)}
        24:{1,4,5,6}:{(11,1),(38,1),(43,1)}
        25:{2,4,5,6}:{(12,1),(33,1),(44,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(42,1),(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        27:{3,5,7}:{(11,1),(14,1),(43,1),(46,1),(106,1)}
        28:{3,5,7}:{(12,1),(15,1),(44,1),(47,1),(111,1)}
        29:{3,6,7}:{(13,1),(45,1),(70,1),(76,1),(119,1)}
        30:{2,4,6,7}:{(14,1),(46,1),(49,1),(77,1),(85,1),(108,1)}
        31:{1,4,6,7}:{(15,1),(47,1),(48,1),(71,1),(84,1),(112,1)}
        32:{1,2,5,6}:{(16,1),(18,1),(50,1),(51,1),(64,1),(121,1)}
        33:{2,4,6}:{(16,1),(19,1),(52,1)}
        34:{1,3,5,7}:{(17,1),(18,1),(50,1),(53,1),(54,1),(136,1)}
        35:{1,2,4,5,7}:{(18,1),(19,1),(51,1),(53,1),(54,1),(55,1),(87,1),(92,1),(93,1),(105,1),(121,1),(128,1)}
        36:{3,4,5,7}:{(19,1),(28,1),(52,1),(54,1),(55,1),(65,1),(101,1)}
        37:{1,2,5,6}:{(20,1),(22,1),(56,1),(57,1),(63,1),(124,1)}
        38:{1,4,6}:{(20,1),(23,1),(58,1)}
        39:{2,3,5,7}:{(21,1),(22,1),(56,1),(59,1),(60,1),(135,1)}
        40:{1,2,4,5,7}:{(22,1),(23,1),(57,1),(59,1),(60,1),(61,1),(94,1),(98,1),(100,1),(105,1),(124,1),(128,1)}
        41:{3,4,5,7}:{(23,1),(27,1),(58,1),(60,1),(61,1),(65,1),(101,1)}
        42:{1,2,4,5,6}:{(24,1),(25,1),(26,1),(51,1),(57,1),(62,1),(63,1),(64,1),(87,1),(94,1),(102,1),(103,1),(104,1),(121,1),(124,1),(128,1)}
        43:{3,5,6}:{(24,1),(27,1),(58,1),(63,1)}
        44:{3,5,6}:{(25,1),(28,1),(52,1),(64,1)}
        45:{3,5,7}:{(26,1),(29,1),(62,1),(65,1)}
        46:{2,5,7}:{(27,1),(30,1),(63,1),(121,1)}
        47:{1,5,7}:{(28,1),(31,1),(64,1),(124,1)}
        48:{1,3,6,7}:{(29,1),(31,1),(66,1),(68,1),(89,1),(96,1)}
        49:{2,3,6,7}:{(29,1),(30,1),(67,1),(68,1),(90,1),(97,1)}
        50:{1,3,5,6}:{(32,1),(34,1),(69,1),(70,1),(106,1)}
        51:{1,2,4,6}:{(32,1),(33,1),(35,1),(69,1),(70,1),(71,1),(108,1),(109,1)}
        52:{3,4,6}:{(33,1),(36,1),(44,1),(70,1),(71,1)}
        53:{1,4,7}:{(34,1),(69,1),(72,1),(139,1)}
        54:{3,5,7}:{(35,1),(70,1),(72,1),(106,1),(119,1),(134,1)}
        55:{1,4,5,7}:{(36,1),(47,1),(71,1),(73,1),(84,1),(116,1)}
        56:{2,3,5,6}:{(37,1),(39,1),(75,1),(76,1),(111,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(40,1),(75,1),(76,1),(77,1),(112,1),(114,1)}
        58:{3,4,6}:{(38,1),(41,1),(43,1),(76,1),(77,1)}
        59:{2,4,7}:{(39,1),(75,1),(78,1),(138,1)}
        60:{3,5,7}:{(40,1),(76,1),(78,1),(111,1),(119,1),(134,1)}
        61:{2,4,5,7}:{(41,1),(46,1),(77,1),(80,1),(85,1),(117,1)}
        62:{3,5,6}:{(42,1),(45,1),(70,1),(76,1),(81,1),(106,1),(111,1),(134,1)}
        63:{2,5,6}:{(43,1),(46,1),(77,1)}
        64:{1,5,6}:{(44,1),(47,1),(71,1)}
        65:{3,4,7}:{(45,1),(81,1),(84,1),(85,1),(119,1)}
        66:{1,3,5,7}:{(45,1),(47,1),(48,1),(82,1),(84,1),(86,1),(119,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(49,1),(83,1),(85,1),(86,1),(119,1)}
        68:{1,2,6,7}:{(48,1),(49,1),(86,1),(109,1),(114,1)}
        69:{1,4,6}:{(50,1),(53,1),(87,1),(88,1)}
        70:{3,6}:{(51,1),(54,1)}
        71:{1,4,6}:{(52,1),(55,1),(64,1),(89,1)}
        72:{3,4,7}:{(53,1),(54,1),(88,1),(92,1),(137,1)}
        73:{1,3,5,7}:{(54,1),(55,1),(89,1),(91,1),(93,1),(120,1)}
        74:{2,3,5,7}:{(54,1),(90,1),(92,1),(93,1),(121,1),(123,1),(135,1)}
        75:{2,4,6}:{(56,1),(59,1),(94,1),(95,1)}
        76:{3,6}:{(57,1),(60,1)}
        77:{2,4,6}:{(58,1),(61,1),(63,1),(97,1)}
        78:{3,4,7}:{(59,1),(60,1),(95,1),(98,1),(137,1)}
        79:{1,3,5,7}:{(60,1),(96,1),(98,1),(100,1),(124,1),(127,1),(136,1)}
        80:{2,3,5,7}:{(60,1),(61,1),(97,1),(99,1),(100,1),(125,1)}
        81:{3,4,6}:{(62,1),(65,1),(101,1),(102,1),(103,1),(129,1),(137,1)}
        82:{1,3,5,6}:{(62,1),(64,1),(66,1),(89,1),(96,1),(102,1),(104,1),(120,1),(124,1),(129,1),(136,1)}
        83:{2,3,5,6}:{(62,1),(63,1),(67,1),(90,1),(97,1),(103,1),(104,1),(121,1),(125,1),(129,1),(135,1)}
        84:{1,4,7}:{(65,1),(66,1),(102,1)}
        85:{2,4,7}:{(65,1),(67,1),(103,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(104,1),(105,1)}
        87:{1,4,5}:{(69,1),(106,1)}
        88:{3,4,6}:{(69,1),(70,1),(72,1),(106,1),(108,1)}
        89:{1,3,6}:{(70,1),(71,1),(73,1),(109,1)}
        90:{2,3,6}:{(70,1),(74,1),(108,1),(109,1)}
        91:{1,3,4,7}:{(72,1),(73,1),(84,1),(107,1),(110,1),(119,1)}
        92:{2,4,7}:{(72,1),(74,1),(108,1),(138,1)}
        93:{1,2,5,7}:{(73,1),(74,1),(109,1),(110,1),(130,1)}
        94:{2,4,5}:{(75,1),(111,1)}
        95:{3,4,6}:{(75,1),(76,1),(78,1),(111,1),(112,1)}
        96:{1,3,6}:{(76,1),(79,1),(112,1),(114,1)}
        97:{2,3,6}:{(76,1),(77,1),(80,1),(114,1)}
        98:{1,4,7}:{(78,1),(79,1),(112,1),(139,1)}
        99:{2,3,4,7}:{(78,1),(80,1),(85,1),(113,1),(115,1),(119,1)}
       100:{1,2,5,7}:{(79,1),(80,1),(114,1),(115,1),(132,1)}
       101:{3,4,5}:{(81,1),(106,1),(111,1),(116,1),(117,1),(134,1)}
       102:{1,4,6}:{(81,1),(82,1),(84,1),(116,1),(139,1)}
       103:{2,4,6}:{(81,1),(83,1),(85,1),(117,1),(138,1)}
       104:{1,2,5,6}:{(82,1),(83,1),(86,1),(109,1),(114,1),(118,1),(130,1),(132,1)}
       105:{1,2,4,7}:{(84,1),(85,1),(86,1),(118,1),(119,1)}
       106:{3,5}:{(87,1),(88,1),(121,1)}
       107:{1,3,4,6}:{(88,1),(89,1),(91,1),(102,1),(120,1),(122,1),(129,1),(137,1)}
       108:{2,4,6}:{(88,1),(90,1),(92,1),(121,1)}
       109:{1,2,6}:{(89,1),(90,1),(93,1)}
       110:{1,2,4,7}:{(91,1),(92,1),(93,1),(122,1),(123,1)}
       111:{3,5}:{(94,1),(95,1),(124,1)}
       112:{1,4,6}:{(95,1),(96,1),(98,1),(124,1)}
       113:{2,3,4,6}:{(95,1),(97,1),(99,1),(103,1),(125,1),(126,1),(129,1),(137,1)}
       114:{1,2,6}:{(96,1),(97,1),(100,1)}
       115:{1,2,4,7}:{(98,1),(99,1),(100,1),(126,1),(127,1)}
       116:{1,4,5}:{(101,1),(102,1),(120,1),(124,1)}
       117:{2,4,5}:{(101,1),(103,1),(121,1),(125,1)}
       118:{1,2,4,6}:{(102,1),(103,1),(104,1),(105,1),(128,1),(129,1)}
       119:{3,7}:{(105,1),(129,1)}
       120:{1,3,5}:{(106,1),(107,1),(116,1),(130,1),(134,1)}
       121:{2,5}:{(106,1),(108,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(110,1),(130,1),(131,1),(138,1)}
       123:{2,3,7}:{(110,1),(119,1),(131,1)}
       124:{1,5}:{(111,1),(112,1)}
       125:{2,3,5}:{(111,1),(113,1),(117,1),(132,1),(134,1)}
       126:{1,2,4,6}:{(112,1),(113,1),(114,1),(115,1),(132,1),(133,1),(139,1)}
       127:{1,3,7}:{(115,1),(119,1),(133,1)}
       128:{1,2,4,5}:{(116,1),(117,1),(118,1),(130,1),(132,1),(134,1),(138,1),(139,1)}
       129:{3,6}:{(118,1),(119,1),(134,1)}
       130:{1,2,5}:{(120,1),(121,1),(122,1),(135,1)}
       131:{2,3,6}:{(122,1),(123,1),(129,1),(135,1)}
       132:{1,2,5}:{(124,1),(125,1),(126,1),(136,1)}
       133:{1,3,6}:{(126,1),(127,1),(129,1),(136,1)}
       134:{3,5}:{(128,1),(129,1),(137,1)}
       135:{2,3,5}:{(130,1),(131,1),(134,1),(138,1)}
       136:{1,3,5}:{(132,1),(133,1),(134,1),(139,1)}
       137:{3,4}:{(134,1),(138,1),(139,1)}
       138:{2,4}:{(135,1),(137,1)}
       139:{1,4}:{(136,1),(137,1)}

1637 :   0:{1,2,4,5,6,7}:{(1,1),(8,1),(9,1),(10,1),(19,1),(29,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(35,1),(46,1)}
         2:{1,2,3,5,6,7}:{(6,1),(10,1),(20,1),(30,1),(55,1),(56,1),(57,1),(58,1),(60,1),(62,1),(102,1),(103,1),(147,1),(163,1),(166,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(30,1),(51,1),(64,1)}
         4:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(25,1),(30,1),(55,1),(60,1)}
         5:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(23,1),(30,1),(56,1),(62,1)}
         6:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(73,1),(74,1),(81,1),(83,1),(128,1),(171,1),(173,1)}
         7:{3,4,5,7}:{(3,1),(15,1),(16,1),(17,1),(46,1)}
         8:{1,4,6,7}:{(3,1),(4,1),(16,1),(73,1),(81,1)}
         9:{2,4,6,7}:{(3,1),(5,1),(17,1),(74,1),(83,1)}
        10:{1,2,5,6,7}:{(4,1),(5,1),(18,1),(40,1),(43,1),(78,1)}
        11:{1,2,4,5,7}:{(6,1),(19,1),(20,1),(52,1),(53,1),(57,1),(149,1)}
        12:{3,4,6,7}:{(6,1),(20,1),(30,1),(51,1),(64,1),(147,1),(148,1),(169,1)}
        13:{2,3,4,6,7}:{(9,1),(23,1),(24,1),(30,1),(47,1),(64,1)}
        14:{1,3,4,6,7}:{(8,1),(25,1),(26,1),(30,1),(49,1),(64,1)}
        15:{3,4,5,6}:{(7,1),(27,1),(28,1),(51,1),(63,1),(170,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(25,1),(27,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(23,1),(28,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(29,1),(30,1),(100,1)}
        19:{1,2,4,5,6}:{(11,1),(35,1),(73,1),(74,1),(78,1)}
        20:{3,5,7}:{(11,1),(12,1),(35,1),(162,1)}
        21:{1,3,4,6,7}:{(12,1),(36,1),(38,1),(41,1),(73,1),(81,1),(114,1),(126,1),(127,1),(157,1),(158,1),(173,1)}
        22:{2,3,4,6,7}:{(12,1),(37,1),(38,1),(44,1),(74,1),(83,1),(121,1),(126,1),(127,1),(152,1),(153,1),(171,1)}
        23:{2,3,5,7}:{(13,1),(17,1),(39,1),(40,1),(46,1)}
        24:{1,2,4,6,7}:{(13,1),(40,1),(41,1),(66,1),(81,1)}
        25:{1,3,5,7}:{(14,1),(16,1),(42,1),(43,1),(46,1)}
        26:{1,2,4,6,7}:{(14,1),(43,1),(44,1),(69,1),(83,1)}
        27:{1,4,5,6}:{(15,1),(16,1),(42,1),(73,1),(174,1)}
        28:{2,4,5,6}:{(15,1),(17,1),(39,1),(74,1),(172,1)}
        29:{1,2,4,5,7}:{(16,1),(17,1),(18,1),(40,1),(43,1),(45,1),(46,1),(81,1),(83,1)}
        30:{3,6,7}:{(18,1),(46,1),(126,1)}
        31:{2,3,4,5,7}:{(23,1),(47,1),(48,1),(53,1),(64,1),(101,1),(107,1),(135,1),(165,1)}
        32:{1,3,4,5,7}:{(25,1),(49,1),(50,1),(52,1),(64,1),(101,1),(107,1),(142,1),(168,1)}
        33:{3,4,5,7}:{(20,1),(51,1),(52,1),(53,1),(64,1),(101,1),(107,1),(169,1),(170,1)}
        34:{1,2,4,5,6,7}:{(19,1),(54,1),(98,1),(99,1),(102,1),(145,1)}
        35:{3,5,6}:{(19,1),(20,1),(51,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(52,1),(55,1),(57,1),(101,1),(137,1),(168,1)}
        37:{2,3,5,7}:{(20,1),(22,1),(53,1),(56,1),(57,1),(101,1),(144,1),(165,1)}
        38:{1,2,4,6,7}:{(21,1),(22,1),(57,1),(58,1),(100,1),(104,1),(136,1),(143,1)}
        39:{2,3,5,6}:{(23,1),(28,1),(47,1),(59,1),(63,1),(165,1)}
        40:{1,2,5,7}:{(23,1),(24,1),(59,1),(60,1)}
        41:{1,3,6,7}:{(24,1),(30,1),(60,1),(88,1)}
        42:{1,3,5,6}:{(25,1),(27,1),(49,1),(61,1),(63,1),(168,1)}
        43:{1,2,5,7}:{(25,1),(26,1),(61,1),(62,1)}
        44:{2,3,6,7}:{(26,1),(30,1),(62,1),(93,1)}
        45:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(59,1),(61,1),(63,1),(100,1),(105,1),(106,1),(149,1)}
        46:{3,5,7}:{(29,1),(30,1),(63,1),(64,1)}
        47:{2,3,4,6}:{(31,1),(39,1),(66,1),(74,1),(84,1),(126,1)}
        48:{1,2,4,5,7}:{(31,1),(40,1),(66,1),(67,1),(81,1),(113,1),(129,1),(154,1)}
        49:{1,3,4,6}:{(32,1),(42,1),(69,1),(73,1),(84,1),(126,1)}
        50:{1,2,4,5,7}:{(32,1),(43,1),(69,1),(70,1),(83,1),(120,1),(130,1),(159,1)}
        51:{3,4,6}:{(33,1),(35,1),(73,1),(74,1),(126,1)}
        52:{1,4,5,7}:{(33,1),(36,1),(73,1),(81,1),(129,1),(173,1),(174,1)}
        53:{2,4,5,7}:{(33,1),(37,1),(74,1),(83,1),(130,1),(171,1),(172,1)}
        54:{3,5,6,7}:{(34,1),(35,1),(72,1),(160,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(73,1),(78,1),(126,1)}
        56:{2,3,5,6}:{(35,1),(37,1),(74,1),(78,1),(126,1)}
        57:{1,2,5,7}:{(36,1),(37,1),(38,1),(78,1),(154,1),(159,1)}
        58:{1,2,3,6,7}:{(38,1),(41,1),(44,1),(79,1),(112,1),(119,1),(126,1),(152,1),(157,1)}
        59:{1,2,5,6}:{(39,1),(40,1),(66,1),(80,1),(154,1)}
        60:{1,3,5,7}:{(40,1),(41,1),(46,1),(80,1),(81,1)}
        61:{1,2,5,6}:{(42,1),(43,1),(69,1),(82,1),(159,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(46,1),(82,1),(83,1)}
        63:{3,5,6}:{(45,1),(46,1),(84,1),(126,1),(162,1)}
        64:{3,4,7}:{(46,1),(81,1),(83,1),(84,1)}
        65:{1,3,4,5,7}:{(52,1),(85,1),(86,1),(89,1),(101,1),(131,1),(137,1),(169,1),(170,1)}
        66:{1,2,4,6}:{(47,1),(48,1),(59,1),(88,1),(105,1)}
        67:{1,3,5,7}:{(48,1),(88,1),(89,1),(101,1),(137,1)}
        68:{2,3,4,5,7}:{(53,1),(90,1),(91,1),(94,1),(101,1),(138,1),(144,1),(169,1),(170,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(61,1),(93,1),(106,1)}
        70:{2,3,5,7}:{(50,1),(93,1),(94,1),(101,1),(144,1)}
        71:{3,4,5,6}:{(51,1),(95,1),(96,1),(97,1),(107,1),(146,1)}
        72:{3,4,6,7}:{(51,1),(54,1),(95,1),(98,1),(99,1),(147,1),(169,1)}
        73:{1,4,6}:{(51,1),(52,1),(55,1)}
        74:{2,4,6}:{(51,1),(53,1),(56,1)}
        75:{1,2,4,5,7}:{(52,1),(53,1),(57,1),(100,1),(101,1),(104,1),(149,1)}
        76:{1,3,5,6,7}:{(54,1),(55,1),(98,1),(102,1),(131,1),(147,1),(166,1)}
        77:{2,3,5,6,7}:{(54,1),(56,1),(99,1),(102,1),(138,1),(147,1),(163,1)}
        78:{1,2,5,6}:{(55,1),(56,1),(57,1),(100,1)}
        79:{1,2,3,5,7}:{(57,1),(58,1),(60,1),(62,1),(101,1),(103,1),(104,1),(163,1),(166,1)}
        80:{1,3,5,6}:{(59,1),(60,1),(63,1),(88,1),(105,1),(137,1)}
        81:{1,4,7}:{(60,1),(64,1),(105,1)}
        82:{2,3,5,6}:{(61,1),(62,1),(63,1),(93,1),(106,1),(144,1)}
        83:{2,4,7}:{(62,1),(64,1),(106,1)}
        84:{3,4,6}:{(63,1),(64,1),(105,1),(106,1),(107,1)}
        85:{1,3,4,6}:{(65,1),(73,1),(108,1),(110,1),(126,1),(161,1)}
        86:{1,2,4,5,7}:{(65,1),(110,1),(111,1),(113,1),(150,1),(154,1),(171,1),(172,1)}
        87:{1,2,3,5,7}:{(67,1),(111,1),(112,1),(113,1),(154,1)}
        88:{1,3,6}:{(66,1),(67,1),(126,1)}
        89:{1,3,4,7}:{(67,1),(81,1),(113,1),(114,1),(127,1)}
        90:{2,3,4,6}:{(68,1),(74,1),(115,1),(117,1),(126,1),(161,1)}
        91:{1,2,4,5,7}:{(68,1),(117,1),(118,1),(120,1),(155,1),(159,1),(173,1),(174,1)}
        92:{1,2,3,5,7}:{(70,1),(118,1),(119,1),(120,1),(159,1)}
        93:{2,3,6}:{(69,1),(70,1),(126,1)}
        94:{2,3,4,7}:{(70,1),(83,1),(120,1),(121,1),(127,1)}
        95:{3,4,5,7}:{(71,1),(72,1),(122,1),(123,1),(160,1)}
        96:{1,4,5,6}:{(71,1),(73,1),(108,1),(122,1),(129,1)}
        97:{2,4,5,6}:{(71,1),(74,1),(115,1),(123,1),(130,1)}
        98:{1,4,6,7}:{(72,1),(73,1),(76,1),(122,1),(173,1)}
        99:{2,4,6,7}:{(72,1),(74,1),(77,1),(123,1),(171,1)}
       100:{1,2,4,6}:{(73,1),(74,1),(75,1),(78,1),(126,1)}
       101:{3,5,7}:{(75,1),(126,1),(127,1),(162,1)}
       102:{1,2,5,6,7}:{(76,1),(77,1),(78,1),(125,1),(150,1),(155,1)}
       103:{1,2,3,5,6}:{(78,1),(79,1),(80,1),(82,1),(112,1),(119,1),(126,1),(128,1),(151,1),(154,1),(156,1),(159,1),(162,1)}
       104:{1,2,4,7}:{(79,1),(81,1),(83,1),(127,1),(128,1),(171,1),(173,1)}
       105:{1,4,6}:{(80,1),(81,1),(84,1),(129,1)}
       106:{2,4,6}:{(82,1),(83,1),(84,1),(130,1)}
       107:{3,4,5}:{(84,1),(129,1),(130,1),(162,1)}
       108:{1,3,5,6}:{(85,1),(96,1),(131,1),(132,1),(137,1),(146,1)}
       109:{1,3,4,6,7}:{(85,1),(98,1),(131,1),(133,1),(147,1),(169,1)}
       110:{1,2,4,6}:{(85,1),(86,1),(132,1),(134,1),(164,1)}
       111:{2,3,5,7}:{(86,1),(101,1),(134,1),(135,1),(165,1)}
       112:{1,2,3,6}:{(87,1),(88,1),(134,1),(136,1)}
       113:{1,2,4,7}:{(87,1),(89,1),(135,1),(136,1)}
       114:{1,3,4,6}:{(88,1),(89,1),(105,1),(136,1),(137,1),(148,1)}
       115:{2,3,5,6}:{(90,1),(97,1),(138,1),(139,1),(144,1),(146,1)}
       116:{2,3,4,6,7}:{(90,1),(99,1),(138,1),(140,1),(147,1),(169,1)}
       117:{1,2,4,6}:{(90,1),(91,1),(139,1),(141,1),(167,1)}
       118:{1,3,5,7}:{(91,1),(101,1),(141,1),(142,1),(168,1)}
       119:{1,2,3,6}:{(92,1),(93,1),(141,1),(143,1)}
       120:{1,2,4,7}:{(92,1),(94,1),(142,1),(143,1)}
       121:{2,3,4,6}:{(93,1),(94,1),(106,1),(143,1),(144,1),(148,1)}
       122:{1,4,5,7}:{(95,1),(96,1),(98,1),(131,1)}
       123:{2,4,5,7}:{(95,1),(97,1),(99,1),(138,1)}
       124:{1,2,4,5,6}:{(96,1),(97,1),(100,1),(132,1),(139,1),(145,1),(146,1),(149,1),(164,1),(167,1)}
       125:{1,2,4,6,7}:{(98,1),(99,1),(100,1),(102,1),(145,1),(147,1)}
       126:{3,6}:{(100,1),(101,1)}
       127:{3,4,7}:{(101,1),(104,1),(148,1)}
       128:{1,2,4,6}:{(103,1),(104,1),(105,1),(106,1),(148,1),(149,1),(164,1),(167,1)}
       129:{1,4,5}:{(105,1),(107,1),(137,1)}
       130:{2,4,5}:{(106,1),(107,1),(144,1)}
       131:{1,3,5,7}:{(108,1),(109,1),(122,1),(150,1),(160,1)}
       132:{1,2,5,6}:{(108,1),(110,1),(150,1),(151,1),(154,1)}
       133:{1,2,4,6,7}:{(109,1),(110,1),(150,1),(152,1),(171,1)}
       134:{2,3,6}:{(110,1),(111,1),(126,1)}
       135:{2,3,4,7}:{(111,1),(113,1),(127,1),(153,1),(171,1)}
       136:{1,2,4,6}:{(112,1),(113,1),(114,1),(153,1),(154,1)}
       137:{1,3,5}:{(114,1),(129,1),(154,1),(162,1)}
       138:{2,3,5,7}:{(115,1),(116,1),(123,1),(155,1),(160,1)}
       139:{1,2,5,6}:{(115,1),(117,1),(155,1),(156,1),(159,1)}
       140:{1,2,4,6,7}:{(116,1),(117,1),(155,1),(157,1),(173,1)}
       141:{1,3,6}:{(117,1),(118,1),(126,1)}
       142:{1,3,4,7}:{(118,1),(120,1),(127,1),(158,1),(173,1)}
       143:{1,2,4,6}:{(119,1),(120,1),(121,1),(158,1),(159,1)}
       144:{2,3,5}:{(121,1),(130,1),(159,1),(162,1)}
       145:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(125,1),(150,1),(155,1),(160,1),(171,1),(173,1)}
       146:{3,5,6}:{(124,1),(126,1),(160,1),(161,1),(162,1)}
       147:{3,6,7}:{(125,1),(126,1),(160,1)}
       148:{3,4,6}:{(126,1),(127,1),(128,1),(162,1)}
       149:{1,2,4,5}:{(128,1),(129,1),(130,1),(154,1),(159,1),(162,1),(172,1),(174,1)}
       150:{1,2,5,7}:{(131,1),(132,1),(133,1),(163,1)}
       151:{2,3,5,6}:{(132,1),(134,1),(146,1),(163,1),(164,1),(165,1)}
       152:{2,3,6,7}:{(133,1),(134,1),(147,1),(163,1)}
       153:{2,3,4,6}:{(134,1),(135,1),(136,1),(148,1),(164,1),(165,1)}
       154:{1,2,5}:{(136,1),(137,1),(165,1)}
       155:{1,2,5,7}:{(138,1),(139,1),(140,1),(166,1)}
       156:{1,3,5,6}:{(139,1),(141,1),(146,1),(166,1),(167,1),(168,1)}
       157:{1,3,6,7}:{(140,1),(141,1),(147,1),(166,1)}
       158:{1,3,4,6}:{(141,1),(142,1),(143,1),(148,1),(167,1),(168,1)}
       159:{1,2,5}:{(143,1),(144,1),(168,1)}
       160:{3,5,7}:{(145,1),(146,1),(147,1),(169,1)}
       161:{3,4,6}:{(146,1),(164,1),(167,1),(169,1),(170,1)}
       162:{3,5}:{(148,1),(149,1)}
       163:{2,3,5,7}:{(150,1),(151,1),(152,1),(160,1),(171,1)}
       164:{2,4,6}:{(151,1),(161,1),(171,1),(172,1)}
       165:{2,3,5}:{(153,1),(154,1),(162,1),(172,1)}
       166:{1,3,5,7}:{(155,1),(156,1),(157,1),(160,1),(173,1)}
       167:{1,4,6}:{(156,1),(161,1),(173,1),(174,1)}
       168:{1,3,5}:{(158,1),(159,1),(162,1),(174,1)}
       169:{3,4,7}:{(160,1),(161,1),(171,1),(173,1)}
       170:{3,4,5}:{(161,1),(162,1),(172,1),(174,1)}
       171:{2,4,7}:{(163,1),(164,1),(169,1)}
       172:{2,4,5}:{(164,1),(165,1),(170,1)}
       173:{1,4,7}:{(166,1),(167,1),(169,1)}
       174:{1,4,5}:{(167,1),(168,1),(170,1)}

1638 :   0:{1,2,3,6,7}:{(2,1),(3,1),(35,1),(71,1),(72,1),(73,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(11,1),(15,1),(35,1),(43,1),(44,1),(45,1),(46,1),(73,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(84,1),(85,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(22,1),(55,1),(56,1),(61,1),(62,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(58,1),(59,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(13,1),(32,1),(35,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(11,1),(94,1),(95,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(13,1),(75,1),(76,1)}
         8:{1,2,4,5}:{(4,1),(15,1),(40,1),(41,1),(45,1)}
         9:{3,4,6}:{(4,1),(13,1),(15,1),(35,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,5,6}:{(6,1),(18,1),(21,1),(82,1),(83,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(21,1),(22,1),(50,1),(51,1),(55,1)}
        13:{3,4,7}:{(7,1),(9,1),(22,1)}
        14:{1,2,4,5,6}:{(8,1),(21,1),(26,1),(27,1),(47,1),(58,1),(59,1),(63,1),(82,1),(83,1)}
        15:{3,5}:{(8,1),(9,1)}
        16:{1,3,4,6}:{(9,1),(23,1),(28,1),(30,1),(53,1),(58,1),(92,1),(93,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(24,1),(29,1),(30,1),(54,1),(59,1),(92,1),(93,1),(105,1)}
        18:{3,5,6}:{(10,1),(11,1),(32,1),(35,1)}
        19:{4,5,7}:{(10,1),(32,1)}
        20:{1,2,5,6,7}:{(11,1),(31,1),(34,1),(94,1),(95,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(32,1),(35,1),(68,1),(69,1),(73,1)}
        22:{3,5,7}:{(12,1),(13,1),(15,1),(35,1)}
        23:{1,3,4,7}:{(13,1),(16,1),(36,1),(38,1),(75,1),(99,1),(101,1)}
        24:{2,3,4,7}:{(13,1),(17,1),(37,1),(38,1),(76,1),(99,1),(101,1)}
        25:{3,4,5}:{(15,1),(39,1),(40,1),(41,1),(78,1)}
        26:{1,2,4,5,7}:{(14,1),(34,1),(42,1),(65,1),(75,1),(76,1),(79,1),(94,1),(95,1)}
        27:{3,5,6}:{(14,1),(15,1),(35,1),(39,1),(42,1)}
        28:{1,3,5}:{(15,1),(16,1),(40,1),(45,1),(78,1),(109,1)}
        29:{2,3,5}:{(15,1),(17,1),(41,1),(45,1),(78,1),(109,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(38,1),(45,1),(46,1),(73,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(20,1),(48,1),(52,1),(81,1)}
        32:{4,6}:{(18,1),(19,1)}
        33:{3,4,5,7}:{(19,1),(22,1),(25,1),(49,1),(50,1),(51,1),(57,1),(81,1),(87,1),(110,1),(111,1)}
        34:{1,2,4,6,7}:{(20,1),(21,1),(26,1),(48,1),(52,1),(84,1),(85,1),(88,1)}
        35:{3,6}:{(21,1),(22,1)}
        36:{1,3,5,7}:{(22,1),(23,1),(28,1),(50,1),(53,1),(55,1),(87,1)}
        37:{2,3,5,7}:{(22,1),(24,1),(29,1),(51,1),(54,1),(55,1),(87,1)}
        38:{1,2,4,7}:{(23,1),(24,1),(30,1),(55,1),(56,1)}
        39:{3,4,6}:{(25,1),(27,1),(57,1),(58,1),(59,1),(92,1)}
        40:{1,4,5}:{(25,1),(28,1),(58,1),(111,1)}
        41:{2,4,5}:{(25,1),(29,1),(59,1),(111,1)}
        42:{3,5,7}:{(26,1),(27,1),(52,1),(57,1)}
        43:{1,3,5,6}:{(27,1),(28,1),(53,1),(58,1),(61,1),(63,1),(82,1),(92,1),(103,1)}
        44:{2,3,5,6}:{(27,1),(29,1),(54,1),(59,1),(62,1),(63,1),(83,1),(92,1),(103,1)}
        45:{1,2,5}:{(28,1),(29,1),(30,1)}
        46:{1,2,3,6}:{(30,1),(56,1),(64,1),(92,1)}
        47:{4,5,6}:{(32,1),(65,1),(66,1),(108,1)}
        48:{4,6,7}:{(31,1),(32,1),(65,1)}
        49:{3,4,6}:{(32,1),(33,1),(35,1),(66,1),(68,1),(69,1),(98,1),(108,1)}
        50:{1,4,5,7}:{(33,1),(36,1),(40,1),(68,1),(75,1),(94,1)}
        51:{2,4,5,7}:{(33,1),(37,1),(41,1),(69,1),(76,1),(95,1)}
        52:{3,6,7}:{(34,1),(35,1),(42,1)}
        53:{1,3,6}:{(35,1),(36,1),(68,1),(73,1),(98,1)}
        54:{2,3,6}:{(35,1),(37,1),(69,1),(73,1),(98,1)}
        55:{1,2,5,7}:{(36,1),(37,1),(38,1),(45,1),(73,1)}
        56:{1,2,3,7}:{(38,1),(46,1),(101,1)}
        57:{3,4,7}:{(39,1),(42,1),(75,1),(76,1),(101,1)}
        58:{1,4,6}:{(39,1),(40,1),(43,1),(75,1),(108,1)}
        59:{2,4,6}:{(39,1),(41,1),(44,1),(76,1),(108,1)}
        60:{1,2,4,5}:{(40,1),(41,1),(45,1),(77,1),(78,1),(80,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(71,1),(75,1),(79,1),(94,1),(101,1),(107,1)}
        62:{2,3,5,7}:{(42,1),(44,1),(72,1),(76,1),(79,1),(95,1),(101,1),(107,1)}
        63:{1,2,5,6}:{(43,1),(44,1),(45,1),(73,1),(77,1),(79,1)}
        64:{1,2,3,5}:{(45,1),(46,1),(78,1),(80,1)}
        65:{4,5,7}:{(47,1),(48,1),(81,1),(110,1)}
        66:{3,5,6}:{(47,1),(49,1),(81,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(48,1),(49,1),(52,1),(57,1),(81,1),(84,1),(85,1),(104,1),(110,1)}
        68:{1,4,6}:{(49,1),(50,1),(53,1),(82,1)}
        69:{2,4,6}:{(49,1),(51,1),(54,1),(83,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(55,1),(60,1),(86,1),(87,1),(90,1),(91,1),(102,1),(106,1),(110,1),(111,1)}
        71:{1,3,6,7}:{(52,1),(53,1),(61,1),(84,1),(88,1),(104,1)}
        72:{2,3,6,7}:{(52,1),(54,1),(62,1),(85,1),(88,1),(104,1)}
        73:{1,2,6}:{(53,1),(54,1),(55,1)}
        74:{1,2,3,5,7}:{(55,1),(56,1),(64,1),(87,1),(89,1),(90,1),(106,1)}
        75:{1,4,7}:{(57,1),(58,1),(61,1),(110,1)}
        76:{2,4,7}:{(57,1),(59,1),(62,1),(110,1)}
        77:{1,2,4,6}:{(58,1),(59,1),(60,1),(63,1),(91,1),(92,1)}
        78:{3,5}:{(60,1),(92,1),(93,1)}
        79:{1,2,5,7}:{(61,1),(62,1),(63,1),(88,1),(91,1)}
        80:{1,2,4}:{(64,1),(93,1)}
        81:{3,5,7}:{(65,1),(66,1),(67,1),(94,1),(95,1)}
        82:{1,5,6}:{(66,1),(68,1),(94,1)}
        83:{2,5,6}:{(66,1),(69,1),(95,1)}
        84:{1,4,6,7}:{(67,1),(68,1),(71,1),(75,1),(94,1)}
        85:{2,4,6,7}:{(67,1),(69,1),(72,1),(76,1),(95,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(70,1),(73,1),(96,1),(98,1),(108,1)}
        87:{3,5,7}:{(70,1),(78,1),(98,1),(99,1),(101,1),(109,1)}
        88:{1,2,6,7}:{(71,1),(72,1),(73,1),(79,1)}
        89:{1,2,3,6}:{(73,1),(74,1),(98,1),(100,1)}
        90:{1,2,4,7}:{(74,1),(80,1),(99,1),(100,1)}
        91:{1,2,4,7}:{(75,1),(76,1),(77,1),(79,1),(101,1)}
        92:{3,6}:{(77,1),(78,1),(101,1)}
        93:{3,4}:{(78,1),(80,1)}
        94:{1,5,7}:{(81,1),(82,1),(84,1)}
        95:{2,5,7}:{(81,1),(83,1),(85,1)}
        96:{1,2,5,6}:{(82,1),(83,1),(86,1),(102,1),(103,1),(106,1)}
        97:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(102,1),(104,1),(110,1)}
        98:{3,6}:{(86,1),(87,1)}
        99:{3,4,7}:{(87,1),(90,1),(93,1),(105,1),(110,1)}
       100:{1,2,4,6}:{(89,1),(90,1),(105,1),(106,1)}
       101:{3,7}:{(91,1),(92,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(97,1),(107,1)}
       103:{3,5,6}:{(96,1),(98,1),(107,1),(108,1),(109,1)}
       104:{3,6,7}:{(97,1),(98,1),(101,1),(107,1)}
       105:{3,4,6}:{(98,1),(99,1),(100,1),(108,1),(109,1)}
       106:{1,2,5}:{(100,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(103,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1639 :   0:{1,3,4,5,7}:{(1,1),(2,1),(11,1),(41,1),(81,1),(85,1),(93,1),(124,1),(129,1),(132,1)}
         1:{1,3,4,6}:{(0,1),(6,1),(7,1),(69,1),(151,1),(156,1),(158,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(24,1),(27,1),(59,1),(66,1),(70,1)}
         3:{1,4,5,6,7}:{(9,1),(33,1),(172,1)}
         4:{1,3,4,6,7}:{(1,1),(11,1),(12,1),(33,1),(74,1),(81,1),(121,1)}
         5:{3,4,5,6}:{(10,1),(14,1),(15,1),(47,1),(137,1),(174,1)}
         6:{1,3,5,6}:{(1,1),(11,1),(14,1),(16,1),(47,1),(85,1),(170,1)}
         7:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(48,1)}
         8:{2,3,5,7}:{(2,1),(17,1),(18,1),(49,1),(129,1)}
         9:{3,5,6,7}:{(3,1),(19,1),(21,1),(190,1)}
        10:{3,4,5,7}:{(5,1),(19,1),(22,1),(23,1),(58,1)}
        11:{1,3,5,7}:{(4,1),(6,1),(22,1),(24,1),(58,1),(147,1)}
        12:{1,2,4,6,7}:{(4,1),(7,1),(24,1),(25,1),(59,1)}
        13:{1,2,3,5,7}:{(8,1),(26,1),(27,1),(63,1),(66,1)}
        14:{1,4,5,6}:{(5,1),(6,1),(22,1),(109,1),(151,1)}
        15:{2,4,5,6}:{(5,1),(23,1),(28,1),(161,1),(192,1)}
        16:{1,2,5,6}:{(6,1),(7,1),(24,1),(30,1),(66,1)}
        17:{2,3,6}:{(7,1),(8,1),(156,1)}
        18:{2,3,4,7}:{(8,1),(27,1),(31,1),(59,1),(101,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(33,1),(34,1),(74,1),(174,1)}
        20:{1,3,5,6,7}:{(9,1),(11,1),(33,1),(35,1),(74,1),(125,1)}
        21:{2,5,6,7}:{(9,1),(34,1),(202,1)}
        22:{1,4,5,7}:{(10,1),(11,1),(14,1),(33,1)}
        23:{2,4,5,7}:{(10,1),(15,1),(34,1),(37,1)}
        24:{1,2,5,7}:{(11,1),(12,1),(16,1),(39,1)}
        25:{2,3,6,7}:{(12,1),(17,1),(39,1),(74,1)}
        26:{1,2,3,6}:{(13,1),(17,1),(44,1),(86,1)}
        27:{1,2,4,7}:{(13,1),(18,1),(41,1),(44,1)}
        28:{2,3,5,6}:{(15,1),(37,1),(42,1),(46,1),(47,1),(141,1),(177,1)}
        29:{1,2,4,5,6}:{(14,1),(15,1),(16,1),(38,1),(46,1),(47,1),(48,1),(89,1),(92,1),(123,1),(130,1),(170,1)}
        30:{2,3,5,6}:{(16,1),(17,1),(39,1),(47,1),(48,1),(49,1)}
        31:{2,3,4,6}:{(17,1),(18,1),(44,1),(48,1),(49,1),(88,1)}
        32:{2,3,4,5,7}:{(18,1),(45,1),(49,1),(50,1),(82,1),(95,1),(129,1),(137,1),(173,1),(185,1)}
        33:{1,4,6,7}:{(19,1),(20,1),(22,1),(151,1)}
        34:{2,4,6,7}:{(19,1),(21,1),(23,1),(51,1),(192,1)}
        35:{1,2,5,6,7}:{(20,1),(21,1),(24,1),(52,1),(53,1),(103,1),(147,1)}
        36:{1,2,3,6,7}:{(25,1),(26,1),(55,1),(56,1),(96,1),(111,1),(156,1),(194,1),(195,1)}
        37:{2,3,5,7}:{(23,1),(28,1),(51,1),(54,1),(57,1),(58,1)}
        38:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(29,1),(52,1),(57,1),(58,1),(59,1),(98,1),(104,1),(147,1)}
        39:{2,3,5,7}:{(24,1),(25,1),(30,1),(58,1),(59,1)}
        40:{2,3,4,6,7}:{(25,1),(31,1),(56,1),(59,1),(60,1),(97,1),(101,1),(106,1),(156,1)}
        41:{1,3,4,7}:{(27,1),(62,1),(63,1),(101,1),(164,1)}
        42:{2,3,4,6}:{(28,1),(54,1),(61,1),(64,1),(69,1)}
        43:{1,2,3,5,6}:{(26,1),(30,1),(55,1),(65,1),(66,1),(68,1),(103,1),(110,1),(112,1),(115,1),(156,1),(165,1),(166,1),(194,1)}
        44:{1,2,4,6}:{(26,1),(27,1),(31,1),(62,1),(66,1)}
        45:{1,2,4,5,7}:{(27,1),(32,1),(63,1),(66,1),(67,1),(109,1),(117,1),(164,1)}
        46:{1,2,5,6}:{(28,1),(57,1),(64,1),(68,1),(165,1),(194,1)}
        47:{3,5,6}:{(29,1),(58,1),(69,1),(115,1),(156,1)}
        48:{2,4,6}:{(30,1),(59,1),(69,1),(70,1)}
        49:{2,3,5}:{(31,1),(66,1),(70,1),(115,1)}
        50:{2,3,4,6}:{(32,1),(67,1),(71,1),(106,1),(156,1),(163,1),(192,1)}
        51:{2,3,6,7}:{(34,1),(37,1),(73,1),(74,1),(177,1)}
        52:{1,2,4,6,7}:{(33,1),(34,1),(35,1),(38,1),(73,1),(74,1),(75,1),(121,1),(130,1)}
        53:{2,3,5,6,7}:{(35,1),(39,1),(74,1),(75,1),(83,1),(122,1)}
        54:{2,3,4,7}:{(37,1),(42,1),(77,1),(81,1)}
        55:{1,2,3,5,7}:{(36,1),(39,1),(43,1),(78,1),(79,1),(80,1),(126,1),(129,1),(139,1),(176,1),(187,1)}
        56:{1,2,4,6,7}:{(36,1),(40,1),(44,1),(76,1),(78,1),(79,1),(121,1),(130,1),(204,1)}
        57:{1,2,5,7}:{(37,1),(46,1),(73,1),(77,1),(80,1)}
        58:{3,5,7}:{(38,1),(47,1),(74,1),(81,1)}
        59:{2,4,7}:{(39,1),(48,1),(81,1)}
        60:{2,3,5,7}:{(40,1),(49,1),(79,1),(82,1),(83,1),(122,1),(129,1)}
        61:{2,3,4,5}:{(42,1),(84,1),(93,1),(141,1),(181,1)}
        62:{1,3,4,6}:{(41,1),(44,1),(85,1),(86,1),(88,1),(138,1)}
        63:{1,3,5,7}:{(41,1),(45,1),(85,1),(86,1),(129,1)}
        64:{1,2,4,6}:{(42,1),(46,1),(77,1),(84,1),(87,1),(92,1)}
        65:{1,2,4,6}:{(43,1),(48,1),(78,1),(88,1),(89,1),(92,1),(138,1),(183,1)}
        66:{1,2,5}:{(44,1),(49,1),(85,1)}
        67:{1,2,4,6}:{(45,1),(50,1),(86,1),(90,1),(138,1)}
        68:{1,3,5,6}:{(46,1),(47,1),(80,1),(87,1),(92,1),(142,1),(170,1),(178,1)}
        69:{3,4,6}:{(47,1),(48,1),(81,1),(92,1),(93,1)}
        70:{2,4,5}:{(48,1),(49,1),(93,1)}
        71:{2,3,5,6}:{(49,1),(50,1),(90,1),(94,1),(95,1),(143,1),(202,1)}
        72:{2,3,4,6,7}:{(50,1),(91,1),(95,1),(134,1),(179,1),(185,1),(204,1)}
        73:{1,2,6,7}:{(51,1),(57,1),(96,1),(194,1)}
        74:{3,6,7}:{(52,1),(58,1),(156,1)}
        75:{2,4,6,7}:{(53,1),(59,1),(97,1),(98,1),(106,1)}
        76:{1,3,4,6,7}:{(56,1),(62,1),(99,1),(101,1),(111,1),(151,1),(156,1),(164,1),(193,1)}
        77:{1,2,4,7}:{(54,1),(57,1),(64,1),(100,1),(104,1)}
        78:{1,2,4,7}:{(55,1),(59,1),(65,1),(101,1),(104,1),(164,1),(199,1)}
        79:{1,2,5,7}:{(56,1),(60,1),(66,1),(99,1),(103,1),(147,1),(208,1)}
        80:{1,3,5,7}:{(57,1),(58,1),(68,1),(96,1),(100,1),(104,1),(147,1)}
        81:{3,4,7}:{(58,1),(59,1),(69,1),(104,1)}
        82:{2,4,5,7}:{(59,1),(60,1),(70,1),(105,1),(106,1)}
        83:{2,3,5,6}:{(60,1),(103,1),(106,1),(148,1),(156,1)}
        84:{1,2,4,5}:{(61,1),(64,1),(108,1),(118,1),(160,1),(165,1)}
        85:{1,3,5}:{(62,1),(66,1),(109,1),(115,1)}
        86:{1,3,6}:{(63,1),(67,1),(156,1)}
        87:{1,3,6}:{(64,1),(100,1),(108,1)}
        88:{3,4,6}:{(65,1),(101,1),(115,1),(156,1)}
        89:{1,2,4,5}:{(65,1),(66,1),(70,1),(109,1),(115,1),(118,1),(161,1),(165,1)}
        90:{1,2,5,6}:{(66,1),(67,1),(71,1),(110,1),(117,1)}
        91:{1,2,4,6,7}:{(67,1),(72,1),(111,1),(117,1),(164,1)}
        92:{1,4,6}:{(68,1),(69,1),(104,1),(118,1)}
        93:{3,4,5}:{(69,1),(70,1),(115,1),(118,1)}
        94:{2,4,5,6}:{(70,1),(71,1),(106,1),(119,1),(120,1)}
        95:{2,3,5,7}:{(71,1),(72,1),(117,1),(120,1),(168,1),(208,1)}
        96:{1,3,6,7}:{(73,1),(74,1),(80,1),(121,1),(178,1)}
        97:{3,4,6,7}:{(74,1),(75,1),(81,1),(121,1),(122,1),(133,1)}
        98:{2,4,5,7}:{(75,1),(122,1),(123,1)}
        99:{1,3,5,7}:{(76,1),(79,1),(85,1),(124,1),(125,1),(129,1),(203,1)}
       100:{1,3,7}:{(77,1),(87,1)}
       101:{3,4,7}:{(78,1),(88,1),(129,1)}
       102:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(89,1),(124,1),(129,1),(130,1),(132,1),(173,1),(176,1)}
       103:{1,2,5,6}:{(79,1),(83,1),(125,1),(130,1),(170,1),(202,1)}
       104:{1,4,7}:{(80,1),(81,1),(92,1)}
       105:{3,4,5,7}:{(81,1),(82,1),(93,1),(122,1),(129,1),(132,1),(133,1)}
       106:{2,4,6}:{(82,1),(83,1),(133,1)}
       107:{2,3,5,6,7}:{(83,1),(95,1),(131,1),(134,1),(171,1),(179,1)}
       108:{1,3,5}:{(84,1),(87,1),(136,1)}
       109:{1,4,5}:{(85,1),(137,1),(138,1)}
       110:{1,3,5,6}:{(85,1),(86,1),(90,1),(138,1),(139,1),(143,1)}
       111:{1,3,6,7}:{(86,1),(91,1),(139,1),(179,1)}
       112:{1,2,3,6}:{(87,1),(126,1),(135,1),(140,1),(206,1)}
       113:{2,3,4,6}:{(88,1),(127,1),(140,1),(141,1),(177,1),(181,1),(183,1),(206,1)}
       114:{1,3,4,6}:{(87,1),(88,1),(92,1),(128,1),(136,1),(140,1),(142,1),(178,1)}
       115:{3,5}:{(88,1),(89,1)}
       116:{1,2,4,5,6}:{(89,1),(90,1),(94,1),(130,1),(138,1),(143,1),(144,1),(145,1),(172,1),(183,1),(186,1),(202,1)}
       117:{1,2,5,7}:{(90,1),(91,1),(95,1),(139,1)}
       118:{1,4,5}:{(92,1),(93,1),(142,1)}
       119:{3,4,5,6}:{(93,1),(94,1),(133,1),(143,1),(145,1),(146,1)}
       120:{2,4,5,7}:{(94,1),(95,1),(134,1),(146,1)}
       121:{1,4,6,7}:{(96,1),(97,1),(104,1),(147,1),(158,1)}
       122:{3,5,7}:{(97,1),(98,1),(147,1),(148,1)}
       123:{2,4,5,6}:{(98,1),(106,1),(148,1)}
       124:{1,4,5,7}:{(99,1),(109,1),(150,1),(151,1),(164,1)}
       125:{1,3,5,6}:{(99,1),(103,1),(151,1),(156,1),(190,1)}
       126:{1,2,3,7}:{(100,1),(112,1),(153,1),(209,1)}
       127:{2,3,4,7}:{(101,1),(113,1),(153,1),(154,1),(199,1),(209,1)}
       128:{1,3,4,7}:{(100,1),(101,1),(104,1),(114,1),(153,1),(155,1)}
       129:{3,5,7}:{(101,1),(102,1),(115,1),(156,1)}
       130:{1,2,4,6}:{(102,1),(103,1),(106,1),(151,1),(156,1),(158,1),(192,1),(194,1)}
       131:{1,2,5,6,7}:{(103,1),(107,1),(117,1),(152,1),(157,1),(189,1),(208,1)}
       132:{1,4,5,7}:{(104,1),(105,1),(118,1),(147,1),(155,1),(158,1)}
       133:{3,4,6}:{(105,1),(106,1),(148,1),(156,1),(158,1)}
       134:{2,4,6,7}:{(106,1),(107,1),(120,1),(159,1)}
       135:{1,2,3,5}:{(108,1),(112,1),(160,1),(165,1),(197,1)}
       136:{1,3,4}:{(108,1),(160,1)}
       137:{3,4,5}:{(109,1),(115,1),(161,1),(163,1)}
       138:{1,4,6}:{(109,1),(110,1),(163,1),(164,1)}
       139:{1,3,5,7}:{(110,1),(111,1),(117,1),(164,1),(168,1)}
       140:{1,2,4,6}:{(112,1),(113,1),(114,1),(153,1),(160,1),(165,1),(194,1)}
       141:{2,3,5}:{(113,1),(115,1),(161,1),(165,1)}
       142:{1,3,5}:{(114,1),(115,1),(118,1),(165,1)}
       143:{3,5,6}:{(115,1),(116,1),(156,1),(163,1),(168,1)}
       144:{1,2,4,5,7}:{(116,1),(117,1),(120,1),(157,1),(164,1),(168,1),(169,1),(191,1),(199,1),(201,1),(208,1)}
       145:{1,4,5,6}:{(118,1),(119,1),(158,1),(167,1),(169,1)}
       146:{3,4,5,7}:{(119,1),(120,1),(159,1),(168,1),(169,1)}
       147:{1,5,7}:{(121,1),(122,1),(170,1)}
       148:{3,5,6}:{(122,1),(123,1),(133,1),(170,1)}
       149:{2,4,5,6,7}:{(123,1),(134,1),(171,1)}
       150:{3,4,5,7}:{(124,1),(129,1),(137,1),(173,1),(174,1),(185,1),(203,1)}
       151:{1,4,6}:{(124,1),(125,1),(174,1)}
       152:{1,3,5,6,7}:{(125,1),(131,1),(139,1),(175,1),(179,1),(203,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(128,1),(140,1),(176,1)}
       154:{2,3,5,7}:{(127,1),(129,1),(141,1),(173,1),(176,1),(177,1)}
       155:{1,3,5,7}:{(128,1),(129,1),(132,1),(142,1),(176,1),(178,1)}
       156:{3,6}:{(129,1),(130,1)}
       157:{1,2,4,6,7}:{(130,1),(131,1),(134,1),(144,1),(175,1),(179,1),(180,1),(204,1),(205,1)}
       158:{1,4,6}:{(132,1),(133,1),(170,1),(178,1)}
       159:{3,4,6,7}:{(133,1),(134,1),(146,1),(171,1),(179,1),(180,1)}
       160:{1,2,4}:{(135,1),(136,1),(181,1)}
       161:{2,4,5}:{(137,1),(141,1),(183,1)}
       162:{1,3,4,5}:{(136,1),(137,1),(142,1),(182,1),(184,1)}
       163:{3,4,6}:{(137,1),(138,1),(143,1),(183,1),(185,1)}
       164:{1,4,7}:{(138,1),(139,1),(185,1)}
       165:{1,2,5}:{(140,1),(141,1),(142,1)}
       166:{2,3,5,6}:{(141,1),(143,1),(177,1),(183,1),(186,1),(187,1),(202,1),(206,1)}
       167:{1,3,5,6}:{(142,1),(143,1),(145,1),(178,1),(184,1),(186,1),(188,1)}
       168:{3,5,7}:{(143,1),(144,1),(179,1),(185,1)}
       169:{1,4,5,7}:{(145,1),(146,1),(180,1),(188,1)}
       170:{1,5,6}:{(147,1),(148,1),(158,1)}
       171:{3,5,6,7}:{(148,1),(149,1),(159,1),(189,1)}
       172:{1,4,5,6}:{(151,1),(190,1),(191,1)}
       173:{2,4,5,7}:{(150,1),(154,1),(161,1),(192,1),(199,1),(208,1)}
       174:{3,4,6}:{(150,1),(151,1),(156,1),(190,1),(192,1)}
       175:{1,4,6,7}:{(151,1),(152,1),(164,1),(191,1),(193,1)}
       176:{1,2,5,7}:{(153,1),(154,1),(155,1),(165,1),(194,1)}
       177:{2,3,6}:{(154,1),(156,1),(192,1),(194,1)}
       178:{1,3,6}:{(155,1),(156,1),(158,1),(194,1)}
       179:{3,6,7}:{(156,1),(157,1),(168,1)}
       180:{1,4,6,7}:{(158,1),(159,1),(169,1),(189,1),(196,1)}
       181:{2,3,4}:{(160,1),(197,1)}
       182:{1,2,4,5}:{(160,1),(161,1),(162,1),(165,1),(197,1),(198,1)}
       183:{2,4,6}:{(161,1),(163,1),(166,1),(199,1)}
       184:{1,3,4,6}:{(162,1),(163,1),(167,1),(198,1),(200,1)}
       185:{3,4,7}:{(163,1),(164,1),(168,1),(199,1)}
       186:{1,2,5,6}:{(165,1),(166,1),(167,1),(194,1),(198,1),(201,1)}
       187:{2,3,5,7}:{(166,1),(168,1),(195,1),(199,1),(201,1),(208,1),(209,1)}
       188:{1,3,5,7}:{(167,1),(168,1),(169,1),(196,1),(200,1),(201,1)}
       189:{1,5,6,7}:{(170,1),(171,1),(180,1)}
       190:{3,5,6}:{(172,1),(174,1),(202,1),(203,1)}
       191:{1,4,5,7}:{(172,1),(175,1),(203,1)}
       192:{2,4,6}:{(173,1),(174,1),(177,1),(202,1)}
       193:{3,4,6,7}:{(174,1),(175,1),(179,1),(185,1),(203,1),(204,1)}
       194:{1,2,6}:{(176,1),(177,1),(178,1)}
       195:{2,3,6,7}:{(177,1),(179,1),(187,1),(204,1),(205,1)}
       196:{1,3,6,7}:{(178,1),(179,1),(180,1),(188,1),(205,1)}
       197:{2,3,5}:{(181,1),(182,1),(206,1)}
       198:{1,2,4,6}:{(182,1),(183,1),(184,1),(186,1),(206,1),(207,1)}
       199:{2,4,7}:{(183,1),(185,1),(187,1)}
       200:{1,3,4,7}:{(184,1),(185,1),(188,1),(207,1)}
       201:{1,2,5,7}:{(186,1),(187,1),(188,1),(205,1),(207,1)}
       202:{2,5,6}:{(190,1),(192,1),(208,1)}
       203:{3,5,7}:{(190,1),(191,1),(193,1),(208,1)}
       204:{2,4,6,7}:{(192,1),(193,1),(195,1),(199,1),(208,1)}
       205:{1,2,6,7}:{(194,1),(195,1),(196,1),(201,1)}
       206:{2,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,2,4,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       208:{2,5,7}:{(202,1),(203,1),(204,1)}
       209:{2,3,7}:{(206,1),(207,1)}

1640 :   0:{1,3,4,5,7}:{(1,1),(2,1),(12,1),(37,1),(85,1),(95,1),(98,1),(141,1),(150,1),(157,1)}
         1:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(23,1),(26,1),(66,1),(69,1),(72,1)}
         2:{1,3,4,6}:{(0,1),(6,1),(7,1),(73,1),(168,1),(176,1),(182,1)}
         3:{2,3,4,5,7}:{(8,1),(9,1),(13,1),(36,1),(48,1),(94,1),(142,1),(145,1),(150,1),(191,1)}
         4:{1,3,4,6,7}:{(2,1),(11,1),(12,1),(33,1),(77,1),(95,1),(135,1)}
         5:{2,3,5,7}:{(1,1),(13,1),(14,1),(48,1),(150,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(14,1),(15,1),(49,1)}
         7:{1,3,5,6}:{(2,1),(12,1),(15,1),(16,1),(50,1),(85,1),(185,1)}
         8:{1,2,4,5,7}:{(3,1),(20,1),(21,1),(23,1),(58,1),(66,1),(111,1),(114,1)}
         9:{2,3,4,6}:{(3,1),(21,1),(22,1),(115,1),(124,1),(176,1),(203,1)}
        10:{1,2,3,5,7}:{(5,1),(20,1),(23,1),(24,1),(66,1)}
        11:{1,2,4,6,7}:{(4,1),(6,1),(25,1),(26,1),(69,1)}
        12:{1,3,5,7}:{(4,1),(7,1),(26,1),(27,1),(70,1),(163,1)}
        13:{2,3,4,7}:{(5,1),(23,1),(28,1),(69,1),(120,1)}
        14:{2,3,6}:{(5,1),(6,1),(176,1)}
        15:{1,2,5,6}:{(6,1),(7,1),(26,1),(29,1),(66,1)}
        16:{1,4,5,6}:{(7,1),(27,1),(31,1),(114,1),(168,1)}
        17:{1,3,5,6,7}:{(12,1),(32,1),(33,1),(34,1),(77,1),(140,1)}
        18:{1,4,5,6,7}:{(33,1),(34,1),(186,1)}
        19:{2,3,4,6,7}:{(9,1),(35,1),(36,1),(80,1),(138,1),(142,1),(188,1)}
        20:{1,3,5,7}:{(8,1),(37,1),(38,1),(85,1),(150,1)}
        21:{1,2,4,6}:{(8,1),(9,1),(38,1),(39,1),(86,1)}
        22:{2,3,5,6}:{(9,1),(36,1),(39,1),(40,1),(48,1),(87,1),(208,1)}
        23:{1,2,4,7}:{(10,1),(13,1),(37,1),(42,1)}
        24:{1,2,3,6}:{(10,1),(14,1),(38,1),(42,1)}
        25:{2,3,6,7}:{(11,1),(14,1),(45,1),(77,1)}
        26:{1,2,5,7}:{(11,1),(12,1),(15,1),(45,1)}
        27:{1,4,5,7}:{(12,1),(16,1),(33,1),(47,1)}
        28:{2,3,4,6}:{(13,1),(14,1),(42,1),(48,1),(49,1),(92,1)}
        29:{2,3,5,6}:{(14,1),(15,1),(45,1),(48,1),(49,1),(50,1)}
        30:{1,2,4,5,6}:{(15,1),(16,1),(46,1),(49,1),(50,1),(51,1),(91,1),(99,1),(101,1),(133,1),(149,1),(185,1)}
        31:{3,4,5,6}:{(16,1),(47,1),(50,1),(51,1),(145,1),(190,1)}
        32:{1,2,5,6,7}:{(17,1),(26,1),(52,1),(53,1),(55,1),(118,1),(163,1)}
        33:{1,4,6,7}:{(17,1),(27,1),(54,1),(168,1)}
        34:{3,5,6,7}:{(18,1),(54,1),(55,1),(201,1)}
        35:{1,2,4,6,7}:{(19,1),(21,1),(57,1),(58,1),(111,1)}
        36:{2,3,5,7}:{(19,1),(22,1),(58,1),(59,1),(112,1),(202,1)}
        37:{1,3,4,7}:{(20,1),(23,1),(60,1),(111,1),(120,1)}
        38:{1,3,6}:{(20,1),(21,1),(176,1)}
        39:{1,2,5,6}:{(21,1),(22,1),(58,1),(61,1),(66,1)}
        40:{2,4,5,6}:{(22,1),(59,1),(63,1),(72,1),(124,1)}
        41:{1,2,3,6,7}:{(24,1),(25,1),(57,1),(64,1),(65,1),(105,1),(167,1),(176,1),(206,1)}
        42:{1,2,4,6}:{(23,1),(24,1),(28,1),(60,1),(66,1)}
        43:{1,2,3,5,6}:{(24,1),(29,1),(61,1),(65,1),(66,1),(67,1),(74,1),(117,1),(118,1),(121,1),(176,1),(180,1),(181,1),(206,1)}
        44:{2,3,4,6,7}:{(25,1),(28,1),(64,1),(68,1),(69,1),(104,1),(120,1),(124,1),(176,1)}
        45:{2,3,5,7}:{(25,1),(26,1),(29,1),(69,1),(70,1)}
        46:{1,2,4,5,7}:{(26,1),(27,1),(30,1),(53,1),(69,1),(70,1),(71,1),(103,1),(126,1),(128,1),(163,1)}
        47:{3,4,5,7}:{(27,1),(31,1),(54,1),(70,1),(71,1)}
        48:{2,3,5}:{(28,1),(66,1),(72,1),(121,1)}
        49:{2,4,6}:{(29,1),(69,1),(72,1),(73,1)}
        50:{3,5,6}:{(30,1),(70,1),(73,1),(121,1),(176,1)}
        51:{2,4,5,6}:{(31,1),(71,1),(75,1),(174,1),(203,1)}
        52:{2,3,5,6,7}:{(32,1),(45,1),(76,1),(77,1),(93,1),(134,1)}
        53:{1,2,4,6,7}:{(32,1),(33,1),(46,1),(76,1),(77,1),(78,1),(135,1),(136,1),(149,1)}
        54:{3,4,6,7}:{(33,1),(34,1),(47,1),(77,1),(78,1),(190,1)}
        55:{2,5,6,7}:{(34,1),(78,1),(208,1)}
        56:{2,3,5,6,7}:{(36,1),(79,1),(80,1),(93,1),(132,1),(138,1)}
        57:{1,3,6,7}:{(35,1),(38,1),(82,1),(138,1)}
        58:{1,2,5,7}:{(35,1),(36,1),(39,1),(82,1)}
        59:{2,4,5,7}:{(36,1),(40,1),(80,1),(84,1)}
        60:{1,3,4,6}:{(37,1),(38,1),(42,1),(85,1),(86,1),(92,1)}
        61:{1,3,5,6}:{(38,1),(39,1),(82,1),(85,1),(86,1),(87,1)}
        62:{1,2,4,5,6}:{(39,1),(40,1),(83,1),(86,1),(87,1),(88,1),(91,1),(147,1),(148,1),(149,1),(186,1),(208,1)}
        63:{3,4,5,6}:{(40,1),(84,1),(87,1),(88,1),(98,1),(156,1)}
        64:{1,2,4,6,7}:{(41,1),(42,1),(44,1),(81,1),(89,1),(90,1),(135,1),(149,1),(188,1)}
        65:{1,2,3,5,7}:{(41,1),(43,1),(45,1),(82,1),(89,1),(90,1),(96,1),(144,1),(150,1),(197,1),(198,1)}
        66:{1,2,5}:{(42,1),(48,1),(85,1)}
        67:{1,2,4,6}:{(43,1),(49,1),(86,1),(90,1),(91,1),(92,1),(99,1),(147,1)}
        68:{2,3,5,7}:{(44,1),(48,1),(89,1),(93,1),(94,1),(134,1),(150,1)}
        69:{2,4,7}:{(45,1),(49,1),(95,1)}
        70:{3,5,7}:{(46,1),(50,1),(77,1),(95,1)}
        71:{2,4,5,7}:{(47,1),(51,1),(78,1),(97,1)}
        72:{2,4,5}:{(48,1),(49,1),(98,1)}
        73:{3,4,6}:{(49,1),(50,1),(95,1),(98,1),(99,1)}
        74:{1,3,5,6}:{(50,1),(96,1),(99,1),(101,1),(153,1),(160,1),(185,1),(195,1)}
        75:{2,3,5,6}:{(50,1),(51,1),(97,1),(100,1),(101,1),(154,1),(196,1)}
        76:{2,4,6,7}:{(52,1),(69,1),(103,1),(104,1),(124,1)}
        77:{3,6,7}:{(53,1),(70,1),(176,1)}
        78:{2,4,6,7}:{(54,1),(55,1),(71,1),(106,1),(203,1)}
        79:{1,2,5,6,7}:{(56,1),(58,1),(107,1),(108,1),(118,1),(161,1),(202,1)}
        80:{2,4,6,7}:{(56,1),(59,1),(109,1),(124,1)}
        81:{1,3,4,6,7}:{(57,1),(60,1),(64,1),(110,1),(111,1),(120,1),(165,1),(168,1),(176,1)}
        82:{1,3,5,7}:{(57,1),(58,1),(61,1),(111,1),(112,1)}
        83:{1,2,4,5,7}:{(58,1),(59,1),(62,1),(108,1),(111,1),(112,1),(113,1),(164,1),(171,1),(172,1),(202,1)}
        84:{3,4,5,7}:{(59,1),(63,1),(109,1),(112,1),(113,1)}
        85:{1,3,5}:{(60,1),(66,1),(114,1),(121,1)}
        86:{1,4,6}:{(61,1),(111,1),(114,1),(115,1)}
        87:{3,5,6}:{(62,1),(112,1),(115,1),(121,1),(176,1)}
        88:{1,4,5,6}:{(63,1),(113,1),(116,1),(129,1),(182,1)}
        89:{1,2,5,7}:{(64,1),(66,1),(68,1),(110,1),(118,1),(163,1),(202,1)}
        90:{1,2,4,7}:{(65,1),(67,1),(69,1),(111,1),(120,1),(126,1),(171,1)}
        91:{1,2,4,5}:{(66,1),(67,1),(72,1),(114,1),(121,1),(129,1),(174,1),(180,1)}
        92:{3,4,6}:{(67,1),(120,1),(121,1),(176,1)}
        93:{2,3,5,6}:{(68,1),(118,1),(124,1),(162,1),(176,1)}
        94:{2,4,5,7}:{(68,1),(69,1),(72,1),(124,1),(125,1)}
        95:{3,4,7}:{(69,1),(70,1),(73,1),(126,1)}
        96:{1,3,5,7}:{(70,1),(74,1),(105,1),(126,1),(128,1),(163,1),(183,1)}
        97:{2,3,5,7}:{(70,1),(71,1),(75,1),(106,1),(127,1),(128,1)}
        98:{3,4,5}:{(72,1),(73,1),(121,1),(129,1)}
        99:{1,4,6}:{(73,1),(74,1),(126,1),(129,1)}
       100:{2,3,4,6}:{(73,1),(75,1),(127,1),(130,1),(131,1)}
       101:{1,2,5,6}:{(74,1),(75,1),(128,1),(131,1),(180,1),(206,1)}
       102:{2,4,5,6,7}:{(80,1),(132,1),(133,1)}
       103:{2,4,5,7}:{(76,1),(133,1),(134,1)}
       104:{3,4,6,7}:{(76,1),(77,1),(95,1),(134,1),(135,1),(156,1)}
       105:{1,3,6,7}:{(77,1),(96,1),(135,1),(136,1),(195,1)}
       106:{2,3,6,7}:{(77,1),(78,1),(97,1),(136,1),(196,1)}
       107:{1,3,5,6,7}:{(79,1),(82,1),(137,1),(138,1),(140,1),(187,1)}
       108:{1,2,4,6,7}:{(79,1),(80,1),(83,1),(137,1),(138,1),(139,1),(149,1),(188,1),(189,1)}
       109:{3,4,6,7}:{(80,1),(84,1),(132,1),(138,1),(139,1),(156,1)}
       110:{1,3,5,7}:{(81,1),(85,1),(89,1),(140,1),(141,1),(150,1),(187,1)}
       111:{1,4,7}:{(82,1),(86,1),(142,1)}
       112:{3,5,7}:{(83,1),(87,1),(138,1),(142,1)}
       113:{1,4,5,7}:{(84,1),(88,1),(139,1),(143,1)}
       114:{1,4,5}:{(85,1),(86,1),(145,1)}
       115:{3,4,6}:{(86,1),(87,1),(142,1),(145,1),(147,1)}
       116:{1,3,5,6}:{(87,1),(88,1),(143,1),(146,1),(148,1),(153,1),(195,1)}
       117:{2,3,5,6}:{(87,1),(144,1),(147,1),(148,1),(154,1),(194,1),(196,1),(208,1)}
       118:{1,2,5,6}:{(89,1),(93,1),(140,1),(149,1),(185,1),(208,1)}
       119:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(94,1),(141,1),(149,1),(150,1),(157,1),(191,1),(197,1)}
       120:{3,4,7}:{(90,1),(92,1),(150,1)}
       121:{3,5}:{(91,1),(92,1)}
       122:{1,3,4,6}:{(92,1),(99,1),(151,1),(153,1),(155,1),(160,1),(195,1),(200,1)}
       123:{2,3,4,6}:{(92,1),(147,1),(152,1),(154,1),(155,1),(194,1),(196,1),(209,1)}
       124:{2,4,6}:{(93,1),(94,1),(156,1)}
       125:{3,4,5,7}:{(94,1),(95,1),(98,1),(134,1),(150,1),(156,1),(157,1)}
       126:{1,4,7}:{(95,1),(96,1),(99,1)}
       127:{2,3,4,7}:{(95,1),(97,1),(100,1),(158,1)}
       128:{1,2,5,7}:{(96,1),(97,1),(101,1),(136,1),(158,1)}
       129:{1,4,5}:{(98,1),(99,1),(153,1)}
       130:{2,3,4,5}:{(98,1),(100,1),(154,1),(159,1),(209,1)}
       131:{1,2,4,6}:{(99,1),(100,1),(101,1),(158,1),(159,1),(160,1)}
       132:{3,5,6,7}:{(102,1),(109,1),(161,1),(162,1)}
       133:{2,4,5,6}:{(103,1),(124,1),(162,1)}
       134:{3,5,7}:{(103,1),(104,1),(162,1),(163,1)}
       135:{1,4,6,7}:{(104,1),(105,1),(126,1),(163,1),(182,1)}
       136:{1,2,6,7}:{(105,1),(106,1),(128,1),(206,1)}
       137:{1,4,6,7}:{(107,1),(111,1),(164,1),(165,1),(168,1)}
       138:{3,6,7}:{(108,1),(112,1),(176,1)}
       139:{1,4,6,7}:{(109,1),(113,1),(161,1),(166,1),(182,1)}
       140:{1,3,5,6}:{(110,1),(118,1),(168,1),(176,1),(201,1)}
       141:{1,4,5,7}:{(110,1),(111,1),(114,1),(168,1),(169,1)}
       142:{3,4,7}:{(111,1),(112,1),(115,1),(171,1)}
       143:{1,3,5,7}:{(112,1),(113,1),(116,1),(166,1),(170,1),(172,1)}
       144:{2,3,5,7}:{(112,1),(117,1),(167,1),(171,1),(172,1),(202,1),(204,1)}
       145:{3,4,5}:{(114,1),(115,1),(121,1),(174,1)}
       146:{1,3,4,6}:{(115,1),(116,1),(170,1),(173,1),(175,1)}
       147:{2,4,6}:{(115,1),(117,1),(171,1),(174,1)}
       148:{1,2,5,6}:{(116,1),(117,1),(172,1),(175,1),(180,1),(206,1)}
       149:{1,2,4,6}:{(118,1),(119,1),(124,1),(168,1),(176,1),(182,1),(203,1),(206,1)}
       150:{3,5,7}:{(119,1),(120,1),(121,1),(176,1)}
       151:{1,3,4,7}:{(120,1),(122,1),(126,1),(177,1),(179,1),(183,1)}
       152:{2,3,4,7}:{(120,1),(123,1),(171,1),(178,1),(179,1),(204,1)}
       153:{1,3,5}:{(121,1),(122,1),(129,1),(180,1)}
       154:{2,3,5}:{(121,1),(123,1),(174,1),(180,1)}
       155:{1,2,4,6}:{(122,1),(123,1),(179,1),(180,1),(181,1),(206,1),(207,1)}
       156:{3,4,6}:{(124,1),(125,1),(162,1),(176,1),(182,1)}
       157:{1,4,5,7}:{(125,1),(126,1),(129,1),(163,1),(177,1),(182,1)}
       158:{1,2,4,7}:{(126,1),(127,1),(128,1),(131,1),(183,1)}
       159:{1,2,4,5}:{(129,1),(130,1),(131,1),(180,1),(184,1),(207,1)}
       160:{1,3,6}:{(131,1),(183,1),(184,1)}
       161:{1,5,6,7}:{(132,1),(139,1),(185,1)}
       162:{3,5,6}:{(133,1),(134,1),(156,1),(185,1)}
       163:{1,5,7}:{(134,1),(135,1),(185,1)}
       164:{1,4,5,7}:{(137,1),(186,1),(187,1)}
       165:{3,4,6,7}:{(137,1),(138,1),(142,1),(187,1),(188,1),(190,1)}
       166:{1,3,6,7}:{(138,1),(139,1),(143,1),(189,1),(195,1)}
       167:{2,3,6,7}:{(138,1),(144,1),(188,1),(189,1),(196,1)}
       168:{1,4,6}:{(140,1),(141,1),(190,1)}
       169:{3,4,5,7}:{(141,1),(142,1),(145,1),(150,1),(187,1),(190,1),(191,1)}
       170:{1,3,4,7}:{(142,1),(143,1),(146,1),(192,1)}
       171:{2,4,7}:{(142,1),(144,1),(147,1)}
       172:{1,2,5,7}:{(143,1),(144,1),(148,1),(189,1),(192,1)}
       173:{1,3,4,5}:{(145,1),(146,1),(153,1),(193,1),(200,1)}
       174:{2,4,5}:{(145,1),(147,1),(154,1)}
       175:{1,2,4,6}:{(146,1),(147,1),(148,1),(192,1),(193,1),(194,1)}
       176:{3,6}:{(149,1),(150,1)}
       177:{1,3,5,7}:{(150,1),(151,1),(153,1),(157,1),(195,1),(197,1)}
       178:{2,3,5,7}:{(150,1),(152,1),(154,1),(191,1),(196,1),(197,1)}
       179:{1,2,4,7}:{(151,1),(152,1),(155,1),(197,1),(198,1)}
       180:{1,2,5}:{(153,1),(154,1),(155,1)}
       181:{1,2,3,6}:{(155,1),(160,1),(194,1),(198,1),(199,1)}
       182:{1,4,6}:{(156,1),(157,1),(185,1),(195,1)}
       183:{1,3,7}:{(158,1),(160,1)}
       184:{1,3,5}:{(159,1),(160,1),(200,1)}
       185:{1,5,6}:{(162,1),(163,1),(182,1)}
       186:{1,4,5,6}:{(164,1),(168,1),(201,1)}
       187:{3,5,7}:{(164,1),(165,1),(201,1),(202,1)}
       188:{2,4,6,7}:{(165,1),(167,1),(171,1),(202,1),(203,1)}
       189:{1,2,6,7}:{(166,1),(167,1),(172,1),(206,1)}
       190:{3,4,6}:{(168,1),(169,1),(176,1),(201,1),(203,1)}
       191:{2,4,5,7}:{(169,1),(171,1),(174,1),(178,1),(202,1),(203,1)}
       192:{1,2,4,7}:{(170,1),(171,1),(172,1),(175,1),(204,1)}
       193:{1,2,4,5}:{(173,1),(174,1),(175,1),(180,1),(205,1),(207,1)}
       194:{2,3,6}:{(175,1),(204,1),(205,1)}
       195:{1,3,6}:{(176,1),(177,1),(182,1),(206,1)}
       196:{2,3,6}:{(176,1),(178,1),(203,1),(206,1)}
       197:{1,2,5,7}:{(177,1),(178,1),(179,1),(180,1),(206,1)}
       198:{1,2,3,7}:{(179,1),(181,1),(183,1),(204,1)}
       199:{1,2,3,5}:{(180,1),(181,1),(184,1),(205,1),(207,1)}
       200:{1,3,4}:{(184,1),(207,1)}
       201:{3,5,6}:{(186,1),(187,1),(190,1),(208,1)}
       202:{2,5,7}:{(187,1),(188,1),(208,1)}
       203:{2,4,6}:{(190,1),(191,1),(196,1),(208,1)}
       204:{2,3,7}:{(192,1),(194,1)}
       205:{2,3,5}:{(193,1),(194,1),(209,1)}
       206:{1,2,6}:{(195,1),(196,1),(197,1)}
       207:{1,2,4}:{(199,1),(200,1),(209,1)}
       208:{2,5,6}:{(201,1),(202,1),(203,1)}
       209:{2,3,4}:{(205,1),(207,1)}

1641 :   0:{1,4,5,6,7}:{(1,1),(10,1),(198,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(5,1),(203,1)}
         2:{3,4,5,6}:{(7,1),(8,1),(9,1),(34,1),(167,1),(195,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(10,1),(11,1),(37,1),(195,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(29,1),(37,1),(171,1)}
         5:{2,5,6,7}:{(1,1),(11,1),(206,1)}
         6:{1,3,4,5,7}:{(13,1),(14,1),(29,1),(65,1),(69,1),(77,1),(113,1),(125,1),(163,1),(170,1)}
         7:{3,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(47,1)}
         8:{1,4,5,6}:{(2,1),(16,1),(18,1),(151,1),(187,1)}
         9:{2,4,5,6}:{(2,1),(17,1),(19,1),(178,1),(200,1)}
        10:{1,4,6,7}:{(3,1),(4,1),(16,1),(187,1)}
        11:{2,4,6,7}:{(3,1),(5,1),(17,1),(22,1),(200,1)}
        12:{1,2,5,6,7}:{(4,1),(5,1),(23,1),(24,1),(45,1),(95,1),(148,1)}
        13:{1,3,4,6}:{(6,1),(18,1),(25,1),(50,1),(141,1),(183,1),(187,1)}
        14:{1,2,4,5,7}:{(6,1),(25,1),(26,1),(45,1),(57,1),(86,1),(90,1),(99,1)}
        15:{2,3,4,5}:{(27,1),(28,1),(69,1),(108,1),(158,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(10,1),(29,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(11,1),(30,1)}
        18:{1,3,5,6}:{(8,1),(13,1),(29,1),(32,1),(34,1),(123,1),(125,1)}
        19:{2,3,5,6}:{(9,1),(27,1),(30,1),(33,1),(34,1),(158,1),(191,1)}
        20:{1,2,4,5,6}:{(8,1),(9,1),(31,1),(32,1),(33,1),(34,1),(67,1),(68,1),(74,1),(116,1),(123,1),(164,1)}
        21:{1,3,4,6,7}:{(10,1),(13,1),(29,1),(35,1),(37,1),(65,1),(72,1)}
        22:{2,3,6,7}:{(11,1),(30,1),(36,1),(37,1),(191,1)}
        23:{1,2,4,6,7}:{(10,1),(11,1),(12,1),(31,1),(36,1),(37,1),(38,1),(72,1),(164,1)}
        24:{2,3,5,6,7}:{(12,1),(37,1),(38,1),(63,1),(73,1),(122,1)}
        25:{1,2,4,6}:{(13,1),(14,1),(32,1),(39,1),(67,1)}
        26:{2,3,5,7}:{(14,1),(39,1),(41,1),(76,1),(163,1)}
        27:{2,3,4,6}:{(15,1),(19,1),(42,1),(43,1),(50,1)}
        28:{1,2,4,5}:{(15,1),(43,1),(44,1),(83,1),(91,1),(133,1)}
        29:{1,3,5,7}:{(16,1),(18,1),(21,1),(45,1),(47,1),(95,1)}
        30:{2,3,5,7}:{(17,1),(19,1),(22,1),(42,1),(46,1),(47,1)}
        31:{1,2,4,5,7}:{(16,1),(17,1),(20,1),(23,1),(45,1),(46,1),(47,1),(54,1),(86,1),(87,1),(95,1)}
        32:{1,2,5,6}:{(18,1),(25,1),(45,1),(48,1),(99,1)}
        33:{1,2,5,6}:{(19,1),(43,1),(46,1),(49,1),(133,1),(176,1)}
        34:{3,5,6}:{(20,1),(47,1),(50,1),(143,1),(183,1)}
        35:{1,2,4,6,7}:{(21,1),(25,1),(45,1),(51,1),(86,1)}
        36:{1,2,6,7}:{(22,1),(46,1),(52,1),(176,1)}
        37:{3,6,7}:{(23,1),(47,1),(183,1)}
        38:{2,4,6,7}:{(24,1),(53,1),(54,1),(86,1),(140,1)}
        39:{2,3,6}:{(25,1),(26,1),(183,1)}
        40:{1,2,3,5,7}:{(26,1),(55,1),(57,1),(99,1),(101,1)}
        41:{2,3,4,7}:{(26,1),(56,1),(57,1),(86,1),(138,1)}
        42:{2,3,4,7}:{(27,1),(30,1),(59,1),(65,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(33,1),(59,1),(60,1),(68,1)}
        44:{1,3,5}:{(28,1),(60,1),(62,1)}
        45:{1,2,5,7}:{(29,1),(32,1),(35,1),(63,1)}
        46:{1,2,5,7}:{(30,1),(33,1),(36,1),(59,1),(64,1)}
        47:{3,5,7}:{(31,1),(34,1),(37,1),(65,1)}
        48:{2,3,5,6}:{(32,1),(34,1),(39,1),(63,1),(67,1),(76,1)}
        49:{1,3,5,6}:{(33,1),(34,1),(60,1),(64,1),(68,1),(107,1),(123,1),(157,1)}
        50:{3,4,6}:{(34,1),(65,1),(67,1),(68,1),(69,1)}
        51:{2,3,6,7}:{(35,1),(37,1),(39,1),(63,1)}
        52:{1,3,6,7}:{(36,1),(37,1),(64,1),(72,1),(157,1)}
        53:{3,4,6,7}:{(37,1),(38,1),(65,1),(72,1),(73,1),(114,1)}
        54:{2,4,5,7}:{(38,1),(73,1),(74,1)}
        55:{1,2,3,6}:{(39,1),(40,1),(75,1),(128,1)}
        56:{2,3,4,6}:{(39,1),(41,1),(67,1),(75,1),(76,1),(115,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(75,1),(77,1)}
        58:{2,3,4,5,7}:{(41,1),(76,1),(78,1),(79,1),(112,1),(127,1),(163,1),(167,1),(190,1),(197,1)}
        59:{1,2,4,7}:{(42,1),(43,1),(46,1),(80,1),(87,1)}
        60:{1,3,6}:{(43,1),(44,1),(80,1)}
        61:{1,2,3,5}:{(44,1),(81,1),(83,1),(133,1),(135,1)}
        62:{1,3,4}:{(44,1),(83,1)}
        63:{2,3,5,7}:{(45,1),(47,1),(48,1),(51,1),(86,1)}
        64:{1,3,5,7}:{(46,1),(47,1),(49,1),(52,1),(80,1),(87,1),(95,1)}
        65:{3,4,7}:{(47,1),(50,1),(86,1),(87,1)}
        66:{1,2,3,5,6}:{(48,1),(49,1),(55,1),(81,1),(85,1),(89,1),(99,1),(133,1),(143,1),(148,1),(152,1),(176,1),(179,1),(183,1)}
        67:{2,4,6}:{(48,1),(50,1),(86,1),(90,1)}
        68:{1,4,6}:{(49,1),(50,1),(87,1),(91,1)}
        69:{3,4,5}:{(50,1),(90,1),(91,1),(143,1)}
        70:{1,2,3,6,7}:{(51,1),(52,1),(55,1),(85,1),(93,1),(154,1),(176,1),(183,1),(201,1)}
        71:{2,3,4,6,7}:{(51,1),(53,1),(56,1),(86,1),(93,1),(94,1),(138,1),(140,1),(183,1)}
        72:{1,4,6,7}:{(52,1),(53,1),(87,1),(95,1),(141,1)}
        73:{3,5,7}:{(53,1),(54,1),(95,1),(96,1)}
        74:{2,4,5,6}:{(54,1),(96,1),(140,1)}
        75:{1,2,4,6}:{(55,1),(56,1),(57,1),(98,1),(99,1)}
        76:{2,3,5}:{(56,1),(90,1),(99,1),(143,1)}
        77:{1,3,4,7}:{(57,1),(98,1),(101,1),(138,1),(189,1)}
        78:{1,2,4,5,7}:{(57,1),(58,1),(99,1),(101,1),(102,1),(151,1),(153,1),(189,1)}
        79:{2,3,4,6}:{(58,1),(100,1),(102,1),(140,1),(183,1),(185,1),(200,1)}
        80:{1,3,7}:{(59,1),(60,1)}
        81:{1,2,3,6}:{(60,1),(61,1),(104,1),(106,1),(161,1)}
        82:{1,3,4,6}:{(60,1),(62,1),(68,1),(105,1),(106,1),(107,1),(115,1),(157,1)}
        83:{1,2,4}:{(61,1),(62,1),(108,1)}
        84:{1,3,4,5}:{(62,1),(107,1),(109,1),(110,1),(167,1)}
        85:{1,2,3,5,7}:{(63,1),(64,1),(66,1),(70,1),(104,1),(111,1),(121,1),(156,1),(163,1),(174,1),(194,1)}
        86:{2,4,7}:{(63,1),(65,1),(67,1)}
        87:{1,4,7}:{(64,1),(65,1),(68,1)}
        88:{3,4,5,7}:{(65,1),(69,1),(73,1),(112,1),(113,1),(114,1),(163,1)}
        89:{1,2,4,6}:{(66,1),(67,1),(68,1),(111,1),(115,1),(116,1),(173,1),(193,1)}
        90:{2,4,5}:{(67,1),(69,1),(76,1)}
        91:{1,4,5}:{(68,1),(69,1),(107,1)}
        92:{3,4,5,6}:{(69,1),(114,1),(117,1),(118,1),(119,1),(168,1)}
        93:{1,2,4,6,7}:{(70,1),(71,1),(72,1),(75,1),(111,1),(120,1),(121,1),(164,1),(207,1)}
        94:{2,3,5,7}:{(71,1),(73,1),(76,1),(112,1),(121,1),(122,1),(163,1)}
        95:{1,5,7}:{(72,1),(73,1),(123,1)}
        96:{3,5,6}:{(73,1),(74,1),(114,1),(123,1)}
        97:{2,4,5,6,7}:{(74,1),(124,1),(165,1)}
        98:{1,3,4,6}:{(75,1),(77,1),(115,1),(125,1),(128,1),(173,1)}
        99:{1,2,5}:{(75,1),(76,1),(125,1)}
       100:{2,3,5,6}:{(76,1),(79,1),(117,1),(126,1),(127,1),(168,1),(206,1)}
       101:{1,3,5,7}:{(77,1),(78,1),(125,1),(128,1),(163,1)}
       102:{1,2,4,6}:{(78,1),(79,1),(126,1),(128,1),(173,1)}
       103:{2,3,4,6,7}:{(79,1),(127,1),(129,1),(165,1),(196,1),(197,1),(207,1)}
       104:{1,2,3,7}:{(80,1),(81,1),(130,1),(181,1)}
       105:{1,3,4,7}:{(80,1),(82,1),(87,1),(130,1),(131,1),(138,1)}
       106:{1,2,4,6}:{(81,1),(82,1),(83,1),(130,1),(132,1),(133,1),(176,1)}
       107:{1,3,5}:{(82,1),(91,1),(133,1),(143,1)}
       108:{2,3,4}:{(83,1),(135,1)}
       109:{1,2,4,5}:{(83,1),(84,1),(133,1),(135,1),(136,1),(178,1)}
       110:{1,3,4,6}:{(84,1),(134,1),(136,1),(137,1),(185,1)}
       111:{1,2,4,7}:{(85,1),(86,1),(87,1),(89,1),(138,1),(189,1),(202,1)}
       112:{2,4,5,7}:{(86,1),(88,1),(90,1),(94,1),(140,1)}
       113:{1,4,5,7}:{(87,1),(88,1),(91,1),(95,1),(131,1),(141,1)}
       114:{3,4,6}:{(88,1),(96,1),(140,1),(141,1),(183,1)}
       115:{3,4,6}:{(89,1),(138,1),(143,1),(183,1)}
       116:{1,2,4,5}:{(89,1),(90,1),(91,1),(99,1),(133,1),(143,1),(151,1),(178,1)}
       117:{2,4,5,6}:{(90,1),(92,1),(100,1),(140,1),(145,1)}
       118:{1,4,5,6}:{(91,1),(92,1),(134,1),(141,1),(146,1)}
       119:{3,4,5,7}:{(92,1),(142,1),(145,1),(146,1),(186,1)}
       120:{1,3,4,6,7}:{(93,1),(98,1),(138,1),(147,1),(154,1),(183,1),(187,1),(189,1),(204,1)}
       121:{1,2,5,7}:{(93,1),(94,1),(95,1),(99,1),(147,1),(148,1),(209,1)}
       122:{2,3,5,6}:{(94,1),(96,1),(140,1),(148,1),(183,1)}
       123:{1,5,6}:{(95,1),(96,1),(141,1)}
       124:{3,5,6,7}:{(96,1),(97,1),(142,1),(150,1)}
       125:{1,3,5}:{(98,1),(99,1),(143,1),(151,1)}
       126:{1,2,5,6}:{(99,1),(100,1),(102,1),(152,1),(153,1)}
       127:{2,3,5,7}:{(100,1),(103,1),(145,1),(153,1),(186,1),(209,1)}
       128:{1,3,6}:{(101,1),(102,1),(183,1)}
       129:{1,2,4,6,7}:{(102,1),(103,1),(153,1),(154,1),(189,1)}
       130:{1,2,4,7}:{(104,1),(105,1),(106,1),(155,1),(156,1)}
       131:{1,3,5,7}:{(105,1),(107,1),(113,1),(156,1),(157,1),(163,1)}
       132:{2,3,4,6}:{(106,1),(108,1),(115,1),(155,1),(158,1),(161,1),(191,1),(193,1)}
       133:{1,2,5}:{(106,1),(107,1),(158,1)}
       134:{1,3,5,6}:{(107,1),(110,1),(118,1),(157,1),(159,1),(160,1),(168,1)}
       135:{2,3,5}:{(108,1),(109,1),(161,1)}
       136:{1,2,4,6}:{(109,1),(110,1),(159,1),(161,1),(162,1),(193,1)}
       137:{1,3,4,7}:{(110,1),(160,1),(162,1),(197,1)}
       138:{3,4,7}:{(111,1),(115,1),(163,1)}
       139:{1,2,4,5,7}:{(111,1),(112,1),(113,1),(116,1),(121,1),(156,1),(163,1),(164,1),(170,1),(190,1)}
       140:{2,4,6}:{(112,1),(114,1),(122,1)}
       141:{1,4,6}:{(113,1),(114,1),(123,1),(157,1)}
       142:{3,4,6,7}:{(114,1),(119,1),(124,1),(165,1),(166,1),(196,1)}
       143:{3,5}:{(115,1),(116,1)}
       144:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(126,1),(159,1),(164,1),(168,1),(169,1),(173,1),(193,1),(198,1),(206,1)}
       145:{2,4,5,7}:{(117,1),(119,1),(127,1),(165,1)}
       146:{1,4,5,7}:{(118,1),(119,1),(160,1),(166,1)}
       147:{1,3,5,7}:{(120,1),(121,1),(125,1),(163,1),(170,1),(171,1),(208,1)}
       148:{1,2,5,6}:{(121,1),(122,1),(123,1),(164,1),(171,1),(206,1)}
       149:{2,3,5,6,7}:{(122,1),(124,1),(127,1),(165,1),(172,1),(196,1)}
       150:{1,5,6,7}:{(123,1),(124,1),(166,1)}
       151:{1,4,5}:{(125,1),(167,1),(173,1)}
       152:{1,3,5,6}:{(125,1),(126,1),(128,1),(168,1),(173,1),(174,1)}
       153:{1,2,5,7}:{(126,1),(127,1),(129,1),(174,1)}
       154:{1,3,6,7}:{(128,1),(129,1),(174,1),(196,1)}
       155:{2,3,4,7}:{(130,1),(132,1),(138,1),(175,1),(181,1),(202,1)}
       156:{1,2,5,7}:{(130,1),(131,1),(133,1),(175,1),(176,1)}
       157:{1,3,6}:{(131,1),(141,1),(176,1),(183,1)}
       158:{2,3,5}:{(132,1),(133,1),(143,1),(178,1)}
       159:{1,2,5,6}:{(133,1),(134,1),(136,1),(176,1),(179,1),(180,1)}
       160:{1,3,5,7}:{(134,1),(137,1),(146,1),(177,1),(180,1),(186,1)}
       161:{2,3,6}:{(135,1),(136,1),(181,1)}
       162:{1,2,4,7}:{(136,1),(137,1),(180,1),(181,1),(202,1)}
       163:{3,5,7}:{(138,1),(139,1),(143,1),(183,1)}
       164:{1,2,4,6}:{(139,1),(140,1),(141,1),(148,1),(176,1),(183,1),(187,1),(200,1)}
       165:{2,4,6,7}:{(140,1),(142,1),(145,1),(149,1)}
       166:{1,4,6,7}:{(141,1),(142,1),(146,1),(150,1),(177,1)}
       167:{3,4,5}:{(143,1),(151,1),(178,1),(185,1)}
       168:{3,5,6}:{(143,1),(144,1),(183,1),(185,1),(186,1)}
       169:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(153,1),(180,1),(184,1),(186,1),(189,1),(202,1),(205,1),(209,1)}
       170:{1,4,5,7}:{(147,1),(151,1),(182,1),(187,1),(189,1)}
       171:{1,3,5,6}:{(147,1),(148,1),(183,1),(187,1),(203,1)}
       172:{1,2,5,6,7}:{(148,1),(149,1),(150,1),(153,1),(184,1),(188,1),(209,1)}
       173:{1,4,6}:{(151,1),(152,1),(185,1),(189,1)}
       174:{1,3,5,7}:{(152,1),(153,1),(154,1),(186,1),(189,1)}
       175:{2,3,5,7}:{(155,1),(156,1),(158,1),(163,1),(190,1),(191,1)}
       176:{1,2,6}:{(156,1),(157,1),(191,1)}
       177:{1,3,6,7}:{(157,1),(160,1),(166,1),(192,1),(196,1)}
       178:{2,4,5}:{(158,1),(167,1),(193,1)}
       179:{2,3,5,6}:{(158,1),(159,1),(161,1),(168,1),(191,1),(193,1),(194,1),(206,1)}
       180:{1,2,5,7}:{(159,1),(160,1),(162,1),(192,1),(194,1)}
       181:{2,3,7}:{(161,1),(162,1)}
       182:{3,4,5,7}:{(163,1),(167,1),(170,1),(190,1),(195,1),(197,1),(208,1)}
       183:{3,6}:{(163,1),(164,1)}
       184:{1,2,4,6,7}:{(164,1),(165,1),(166,1),(169,1),(172,1),(192,1),(196,1),(199,1),(207,1)}
       185:{3,4,6}:{(167,1),(168,1),(173,1),(193,1),(197,1)}
       186:{3,5,7}:{(168,1),(169,1),(196,1),(197,1)}
       187:{1,4,6}:{(170,1),(171,1),(195,1)}
       188:{1,3,5,6,7}:{(171,1),(172,1),(174,1),(196,1),(199,1),(208,1)}
       189:{1,4,7}:{(173,1),(174,1),(197,1)}
       190:{2,4,5,7}:{(175,1),(178,1),(182,1),(200,1),(202,1),(209,1)}
       191:{2,3,6}:{(175,1),(176,1),(183,1),(200,1)}
       192:{1,2,6,7}:{(176,1),(177,1),(180,1),(201,1)}
       193:{2,4,6}:{(178,1),(179,1),(185,1),(202,1)}
       194:{2,3,5,7}:{(179,1),(180,1),(181,1),(186,1),(201,1),(202,1),(209,1)}
       195:{3,4,6}:{(182,1),(183,1),(187,1),(200,1),(203,1)}
       196:{3,6,7}:{(183,1),(184,1),(186,1)}
       197:{3,4,7}:{(185,1),(186,1),(189,1),(202,1)}
       198:{1,4,5,6}:{(187,1),(203,1),(205,1)}
       199:{1,4,6,7}:{(187,1),(188,1),(189,1),(204,1),(205,1)}
       200:{2,4,6}:{(190,1),(191,1),(195,1),(206,1)}
       201:{2,3,6,7}:{(191,1),(192,1),(194,1),(196,1),(207,1)}
       202:{2,4,7}:{(193,1),(194,1),(197,1)}
       203:{3,5,6}:{(195,1),(198,1),(206,1),(208,1)}
       204:{3,4,6,7}:{(195,1),(196,1),(197,1),(199,1),(207,1),(208,1)}
       205:{1,4,5,7}:{(198,1),(199,1),(208,1)}
       206:{2,5,6}:{(200,1),(203,1),(209,1)}
       207:{2,4,6,7}:{(200,1),(201,1),(202,1),(204,1),(209,1)}
       208:{3,5,7}:{(203,1),(204,1),(205,1),(209,1)}
       209:{2,5,7}:{(206,1),(207,1),(208,1)}

1642 :   0:{1,2,3,6,7}:{(2,1),(3,1),(33,1),(46,1),(81,1),(82,1),(83,1),(104,1)}
         1:{1,3,4,6,7}:{(3,1),(4,1),(13,1),(17,1),(35,1),(46,1),(49,1),(83,1),(99,1),(104,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(24,1),(27,1),(50,1),(63,1),(90,1),(91,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(8,1),(28,1),(52,1),(67,1),(94,1),(95,1),(103,1)}
         4:{1,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(27,1),(54,1),(58,1)}
         5:{1,2,3,5,6}:{(2,1),(11,1),(15,1),(33,1),(36,1),(46,1),(72,1),(73,1),(74,1),(81,1)}
         6:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(34,1),(41,1),(46,1),(80,1),(82,1),(98,1),(104,1)}
         7:{1,2,4,7}:{(2,1),(11,1),(13,1),(68,1),(98,1),(99,1)}
         8:{1,2,5,7}:{(3,1),(4,1),(12,1),(15,1),(72,1),(76,1),(101,1)}
         9:{1,4,5,7}:{(4,1),(16,1),(17,1),(70,1),(99,1)}
        10:{1,3,5,6}:{(4,1),(15,1),(17,1),(38,1),(46,1)}
        11:{1,2,4,6}:{(5,1),(7,1),(19,1),(20,1),(86,1),(87,1)}
        12:{2,3,5,7}:{(6,1),(8,1),(22,1),(23,1),(27,1),(53,1),(93,1)}
        13:{3,4,7}:{(7,1),(19,1),(27,1),(84,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(20,1),(22,1),(27,1),(28,1),(30,1),(60,1),(63,1),(85,1),(103,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(23,1),(28,1),(57,1),(92,1)}
        16:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(51,1),(58,1),(88,1)}
        17:{1,4,6}:{(9,1),(10,1),(31,1)}
        18:{1,3,5,6,7}:{(10,1),(29,1),(32,1),(58,1),(66,1),(91,1)}
        19:{3,4,6}:{(11,1),(13,1),(36,1),(46,1)}
        20:{1,2,4,5}:{(11,1),(36,1),(69,1),(70,1),(72,1)}
        21:{1,4,5,6}:{(17,1),(38,1),(39,1)}
        22:{2,4,5,7}:{(12,1),(40,1),(41,1),(69,1),(98,1)}
        23:{2,3,5,6}:{(12,1),(15,1),(41,1),(46,1),(77,1)}
        24:{1,2,3,7}:{(33,1),(43,1),(104,1)}
        25:{2,3,4,7}:{(13,1),(34,1),(43,1),(44,1),(98,1),(104,1)}
        26:{1,3,4,7}:{(13,1),(35,1),(43,1),(45,1),(99,1),(104,1)}
        27:{3,5,7}:{(13,1),(14,1),(36,1),(46,1),(96,1),(104,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(17,1),(41,1),(46,1),(48,1),(79,1),(81,1)}
        29:{1,2,5,6,7}:{(15,1),(18,1),(42,1),(47,1),(76,1),(100,1),(101,1)}
        30:{2,4,5,7}:{(16,1),(44,1),(48,1),(69,1),(76,1),(98,1)}
        31:{3,4,6}:{(16,1),(17,1),(38,1),(46,1),(48,1)}
        32:{1,4,6,7}:{(17,1),(18,1),(39,1),(49,1),(99,1)}
        33:{1,2,3,6}:{(24,1),(50,1),(52,1),(102,1)}
        34:{2,3,4,6}:{(19,1),(25,1),(52,1),(53,1),(64,1),(84,1),(86,1),(102,1)}
        35:{1,3,4,6}:{(19,1),(26,1),(52,1),(54,1),(65,1),(84,1),(87,1),(102,1)}
        36:{3,5}:{(19,1),(20,1)}
        37:{1,2,4,5,6}:{(20,1),(21,1),(28,1),(55,1),(56,1),(57,1),(59,1),(86,1),(87,1),(89,1),(92,1)}
        38:{3,5,6}:{(21,1),(31,1),(57,1),(58,1)}
        39:{1,4,5,7}:{(21,1),(32,1),(58,1)}
        40:{3,4,5,7}:{(22,1),(27,1),(51,1),(60,1),(61,1),(88,1),(93,1)}
        41:{2,4,6}:{(22,1),(23,1),(61,1)}
        42:{2,3,5,6,7}:{(23,1),(29,1),(62,1),(66,1),(90,1),(93,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(26,1),(52,1),(63,1)}
        44:{2,3,5,7}:{(25,1),(27,1),(30,1),(53,1),(63,1),(64,1)}
        45:{1,3,5,7}:{(26,1),(27,1),(54,1),(60,1),(63,1),(65,1)}
        46:{3,6}:{(27,1),(28,1)}
        47:{1,2,4,6,7}:{(28,1),(29,1),(32,1),(56,1),(62,1),(66,1),(67,1),(94,1),(95,1),(103,1)}
        48:{2,4,6}:{(30,1),(31,1),(57,1),(64,1)}
        49:{3,4,6,7}:{(31,1),(32,1),(58,1),(66,1),(67,1),(88,1)}
        50:{1,2,3,5}:{(33,1),(68,1),(72,1),(96,1)}
        51:{3,4,5}:{(36,1),(69,1),(70,1),(71,1),(96,1)}
        52:{1,2,4,6}:{(33,1),(34,1),(35,1),(43,1),(68,1),(72,1),(81,1)}
        53:{2,3,5}:{(34,1),(36,1),(69,1),(72,1),(96,1)}
        54:{1,3,5}:{(35,1),(36,1),(70,1),(72,1),(96,1)}
        55:{3,5,6}:{(36,1),(37,1),(46,1),(71,1),(75,1)}
        56:{1,2,4,5,7}:{(37,1),(39,1),(47,1),(75,1),(76,1),(78,1),(98,1),(99,1),(100,1),(101,1)}
        57:{2,5,6}:{(38,1),(48,1),(76,1)}
        58:{3,5,7}:{(38,1),(39,1),(49,1),(76,1)}
        59:{2,4,5,6}:{(41,1),(77,1),(78,1)}
        60:{1,4,5,7}:{(40,1),(45,1),(70,1),(79,1),(99,1),(101,1)}
        61:{3,4,6}:{(40,1),(41,1),(46,1),(77,1),(79,1)}
        62:{2,4,6,7}:{(41,1),(42,1),(78,1),(80,1),(98,1)}
        63:{1,2,5,7}:{(43,1),(44,1),(45,1),(72,1),(81,1)}
        64:{2,3,6}:{(44,1),(46,1),(48,1),(81,1)}
        65:{1,3,6}:{(45,1),(46,1),(79,1),(81,1)}
        66:{3,6,7}:{(46,1),(47,1),(75,1),(104,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(76,1),(82,1),(98,1)}
        68:{1,2,4}:{(50,1),(84,1)}
        69:{2,4,5}:{(51,1),(53,1),(86,1)}
        70:{1,4,5}:{(51,1),(54,1),(87,1)}
        71:{3,4,6}:{(51,1),(55,1),(86,1),(87,1),(88,1),(102,1)}
        72:{1,2,5}:{(52,1),(53,1),(54,1)}
        73:{2,3,5,6}:{(53,1),(55,1),(57,1),(64,1),(86,1),(89,1),(90,1),(102,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(65,1),(87,1),(89,1),(91,1),(92,1),(102,1)}
        75:{3,5,7}:{(55,1),(56,1),(66,1),(88,1)}
        76:{2,5,7}:{(57,1),(58,1),(67,1)}
        77:{3,5,6}:{(59,1),(61,1),(92,1),(93,1)}
        78:{2,4,5,7}:{(59,1),(62,1),(93,1)}
        79:{1,4,6}:{(60,1),(61,1),(65,1),(92,1)}
        80:{3,4,6,7}:{(61,1),(62,1),(66,1),(88,1),(93,1),(94,1)}
        81:{1,2,6}:{(63,1),(64,1),(65,1)}
        82:{2,3,6,7}:{(64,1),(66,1),(67,1),(90,1),(95,1)}
        83:{1,3,6,7}:{(65,1),(66,1),(91,1),(94,1),(95,1)}
        84:{3,4}:{(68,1),(96,1)}
        85:{1,2,4,5}:{(68,1),(69,1),(70,1),(72,1),(96,1),(97,1)}
        86:{2,4,6}:{(69,1),(71,1),(73,1),(98,1)}
        87:{1,4,6}:{(70,1),(71,1),(74,1),(99,1)}
        88:{3,4,7}:{(71,1),(75,1),(98,1),(99,1),(104,1)}
        89:{1,2,5,6}:{(72,1),(73,1),(74,1),(81,1),(97,1),(100,1)}
        90:{2,3,5,7}:{(73,1),(75,1),(76,1),(82,1),(98,1),(100,1),(104,1)}
        91:{1,3,5,7}:{(74,1),(75,1),(83,1),(99,1),(100,1),(101,1),(104,1)}
        92:{1,5,6}:{(77,1),(79,1),(101,1)}
        93:{3,5,7}:{(77,1),(78,1),(80,1),(101,1)}
        94:{1,4,6,7}:{(79,1),(80,1),(83,1),(99,1),(101,1)}
        95:{1,2,6,7}:{(81,1),(82,1),(83,1),(100,1)}
        96:{3,5}:{(84,1),(85,1),(102,1)}
        97:{1,2,4,6}:{(85,1),(86,1),(87,1),(89,1),(102,1),(103,1)}
        98:{2,4,7}:{(86,1),(88,1),(90,1)}
        99:{1,4,7}:{(87,1),(88,1),(91,1)}
       100:{1,2,5,7}:{(89,1),(90,1),(91,1),(95,1),(103,1)}
       101:{1,5,7}:{(92,1),(93,1),(94,1)}
       102:{3,6}:{(96,1),(97,1),(104,1)}
       103:{1,2,4,7}:{(97,1),(98,1),(99,1),(100,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1643 :   0:{3,4,5,6}:{(3,1),(4,1),(5,1),(29,1),(74,1),(114,1),(140,1)}
         1:{1,3,4,5}:{(6,1),(9,1),(44,1),(74,1),(82,1)}
         2:{2,3,4,5}:{(7,1),(10,1),(43,1),(74,1),(80,1)}
         3:{1,4,5,6}:{(0,1),(11,1),(14,1),(93,1),(128,1)}
         4:{2,4,5,6}:{(0,1),(12,1),(15,1),(90,1),(126,1)}
         5:{3,4,5,7}:{(0,1),(14,1),(15,1),(16,1),(52,1),(131,1)}
         6:{1,3,4,6}:{(1,1),(11,1),(17,1),(18,1),(51,1)}
         7:{2,3,4,6}:{(2,1),(12,1),(19,1),(20,1),(51,1)}
         8:{1,2,3,5,6}:{(21,1),(22,1),(45,1),(48,1),(57,1),(62,1),(99,1),(103,1),(105,1),(132,1)}
         9:{1,2,4,5}:{(1,1),(17,1),(23,1),(66,1),(90,1),(99,1)}
        10:{1,2,4,5}:{(2,1),(19,1),(24,1),(66,1),(93,1),(99,1)}
        11:{1,3,5,6}:{(3,1),(6,1),(25,1),(26,1),(29,1),(82,1),(119,1)}
        12:{2,3,5,6}:{(4,1),(7,1),(27,1),(28,1),(29,1),(80,1),(118,1)}
        13:{1,2,4,5,6}:{(3,1),(4,1),(25,1),(27,1),(29,1),(30,1),(39,1),(68,1),(71,1),(86,1),(107,1),(136,1),(138,1),(139,1),(140,1)}
        14:{1,4,5,7}:{(3,1),(5,1),(26,1),(31,1)}
        15:{2,4,5,7}:{(4,1),(5,1),(28,1),(32,1)}
        16:{3,4,6,7}:{(5,1),(31,1),(32,1),(33,1),(76,1),(114,1),(116,1)}
        17:{1,2,4,6}:{(6,1),(9,1),(25,1),(34,1),(35,1),(68,1)}
        18:{1,3,4,7}:{(6,1),(26,1),(35,1),(75,1)}
        19:{1,2,4,6}:{(7,1),(10,1),(27,1),(36,1),(37,1),(71,1)}
        20:{2,3,4,7}:{(7,1),(28,1),(37,1),(75,1)}
        21:{1,2,4,6}:{(8,1),(38,1),(39,1),(40,1),(68,1),(71,1)}
        22:{1,2,3,5,7}:{(8,1),(40,1),(41,1),(69,1),(72,1),(79,1),(84,1),(87,1),(117,1)}
        23:{2,3,5}:{(9,1),(34,1),(43,1)}
        24:{1,3,5}:{(10,1),(36,1),(44,1)}
        25:{1,2,5,6}:{(11,1),(17,1),(45,1),(46,1),(99,1),(132,1)}
        26:{1,3,5,7}:{(11,1),(14,1),(18,1),(46,1),(47,1),(52,1)}
        27:{1,2,5,6}:{(12,1),(19,1),(48,1),(49,1),(99,1),(132,1)}
        28:{2,3,5,7}:{(12,1),(15,1),(20,1),(49,1),(50,1),(52,1)}
        29:{3,5,6}:{(13,1),(51,1),(52,1),(62,1),(103,1),(122,1),(141,1)}
        30:{1,2,4,5,7}:{(13,1),(14,1),(15,1),(46,1),(49,1),(52,1),(53,1),(91,1),(94,1),(127,1),(129,1),(131,1)}
        31:{1,4,6,7}:{(14,1),(16,1),(47,1),(54,1),(128,1)}
        32:{2,4,6,7}:{(15,1),(16,1),(50,1),(55,1),(126,1)}
        33:{3,5,6,7}:{(16,1),(54,1),(55,1),(56,1),(130,1)}
        34:{2,3,6}:{(17,1),(23,1),(59,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(46,1),(59,1),(91,1)}
        36:{1,3,6}:{(19,1),(24,1),(61,1)}
        37:{1,2,4,7}:{(19,1),(20,1),(49,1),(61,1),(94,1)}
        38:{3,4,6}:{(21,1),(62,1),(63,1),(103,1)}
        39:{1,2,4,5}:{(21,1),(62,1),(90,1),(93,1),(99,1)}
        40:{1,2,4,7}:{(21,1),(22,1),(63,1),(91,1),(94,1)}
        41:{1,2,3,6,7}:{(22,1),(65,1),(92,1),(95,1),(103,1),(132,1)}
        42:{1,2,3,5}:{(23,1),(24,1),(57,1),(66,1),(99,1)}
        43:{2,3,4}:{(23,1),(66,1)}
        44:{1,3,4}:{(24,1),(66,1)}
        45:{2,3,5,6}:{(25,1),(29,1),(34,1),(68,1),(69,1),(80,1),(118,1),(138,1)}
        46:{1,2,5,7}:{(25,1),(26,1),(35,1),(69,1),(70,1)}
        47:{1,3,6,7}:{(26,1),(31,1),(70,1),(76,1),(119,1)}
        48:{1,3,5,6}:{(27,1),(29,1),(36,1),(71,1),(72,1),(82,1),(119,1),(139,1)}
        49:{1,2,5,7}:{(27,1),(28,1),(37,1),(72,1),(73,1)}
        50:{2,3,6,7}:{(28,1),(32,1),(73,1),(76,1),(118,1)}
        51:{3,4,6}:{(29,1),(68,1),(71,1),(74,1),(75,1)}
        52:{3,5,7}:{(29,1),(30,1),(75,1),(76,1)}
        53:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(70,1),(73,1),(76,1),(77,1),(86,1),(111,1),(113,1),(116,1),(136,1)}
        54:{1,5,6,7}:{(31,1),(33,1),(139,1)}
        55:{2,5,6,7}:{(32,1),(33,1),(138,1)}
        56:{4,5,6,7}:{(33,1),(116,1),(140,1)}
        57:{1,2,3,6}:{(34,1),(36,1),(42,1),(78,1),(79,1)}
        58:{2,3,4,6}:{(34,1),(38,1),(43,1),(68,1),(78,1),(80,1),(81,1),(106,1),(118,1)}
        59:{2,3,7}:{(34,1),(35,1)}
        60:{1,3,4,6}:{(36,1),(38,1),(44,1),(71,1),(78,1),(82,1),(83,1),(106,1),(119,1)}
        61:{1,3,7}:{(36,1),(37,1)}
        62:{3,5}:{(38,1),(39,1)}
        63:{3,4,7}:{(38,1),(40,1),(84,1)}
        64:{1,2,4,5,7}:{(39,1),(40,1),(84,1),(86,1),(87,1),(110,1),(112,1),(117,1),(121,1)}
        65:{1,2,4,6,7}:{(40,1),(41,1),(85,1),(86,1),(87,1),(111,1),(113,1)}
        66:{1,2,4}:{(42,1),(43,1),(44,1)}
        67:{1,2,3,5,6}:{(45,1),(48,1),(57,1),(88,1),(89,1),(99,1),(122,1),(132,1),(141,1),(143,1)}
        68:{2,4,6}:{(45,1),(51,1),(90,1),(91,1)}
        69:{2,3,5,7}:{(45,1),(46,1),(52,1),(59,1),(91,1),(92,1),(127,1)}
        70:{1,2,6,7}:{(46,1),(47,1),(92,1),(132,1)}
        71:{1,4,6}:{(48,1),(51,1),(93,1),(94,1)}
        72:{1,3,5,7}:{(48,1),(49,1),(52,1),(61,1),(94,1),(95,1),(129,1)}
        73:{1,2,6,7}:{(49,1),(50,1),(95,1),(132,1)}
        74:{3,4,5}:{(51,1),(62,1),(90,1),(93,1),(122,1)}
        75:{3,4,7}:{(51,1),(52,1),(91,1),(94,1)}
        76:{3,6,7}:{(52,1),(53,1),(103,1),(141,1)}
        77:{1,2,5,6,7}:{(53,1),(54,1),(55,1),(98,1),(105,1),(127,1),(129,1),(143,1)}
        78:{1,2,4,6}:{(57,1),(58,1),(60,1),(66,1),(99,1),(100,1),(132,1)}
        79:{1,2,3,7}:{(57,1),(59,1),(61,1),(100,1)}
        80:{2,3,5}:{(58,1),(62,1),(90,1),(99,1),(122,1)}
        81:{2,3,4,7}:{(58,1),(59,1),(63,1),(91,1),(100,1),(101,1),(123,1)}
        82:{1,3,5}:{(60,1),(62,1),(93,1),(99,1),(122,1)}
        83:{1,3,4,7}:{(60,1),(61,1),(63,1),(94,1),(100,1),(102,1),(123,1)}
        84:{3,5,7}:{(62,1),(63,1),(64,1),(103,1)}
        85:{3,4,6,7}:{(63,1),(65,1),(103,1),(104,1),(133,1)}
        86:{1,2,4,6}:{(64,1),(103,1),(105,1),(126,1),(128,1),(132,1),(133,1)}
        87:{1,2,5,7}:{(65,1),(104,1),(105,1),(127,1),(129,1)}
        88:{1,2,4,6}:{(67,1),(68,1),(71,1),(106,1),(107,1),(108,1)}
        89:{1,2,3,5,7}:{(67,1),(69,1),(72,1),(79,1),(108,1),(109,1),(117,1),(134,1),(137,1)}
        90:{2,4,5}:{(68,1),(74,1),(80,1)}
        91:{2,4,7}:{(68,1),(69,1),(75,1)}
        92:{2,3,6,7}:{(69,1),(70,1),(76,1),(111,1),(118,1)}
        93:{1,4,5}:{(71,1),(74,1),(82,1)}
        94:{1,4,7}:{(71,1),(72,1),(75,1)}
        95:{1,3,6,7}:{(72,1),(73,1),(76,1),(113,1),(119,1)}
        96:{3,4,5,7}:{(74,1),(75,1),(84,1),(110,1),(112,1),(114,1),(115,1),(121,1),(134,1),(145,1)}
        97:{3,4,6,7}:{(75,1),(76,1),(111,1),(113,1),(114,1),(115,1),(116,1)}
        98:{3,5,6,7}:{(76,1),(77,1),(115,1),(116,1),(120,1),(144,1)}
        99:{1,2,5}:{(78,1),(80,1),(82,1)}
       100:{1,2,4,7}:{(78,1),(79,1),(81,1),(83,1),(117,1)}
       101:{2,3,5,7}:{(80,1),(81,1),(84,1),(110,1),(117,1),(118,1),(134,1)}
       102:{1,3,5,7}:{(82,1),(83,1),(84,1),(112,1),(117,1),(119,1),(134,1)}
       103:{3,6}:{(84,1),(86,1)}
       104:{3,5,7}:{(85,1),(87,1),(120,1),(121,1)}
       105:{1,2,5,6}:{(86,1),(87,1),(120,1),(138,1),(139,1)}
       106:{3,4,6}:{(88,1),(122,1),(123,1),(141,1)}
       107:{1,2,4,5}:{(88,1),(90,1),(93,1),(99,1),(122,1)}
       108:{1,2,4,7}:{(88,1),(89,1),(91,1),(94,1),(123,1)}
       109:{1,2,3,6,7}:{(89,1),(92,1),(95,1),(125,1),(132,1),(141,1)}
       110:{2,4,5,7}:{(90,1),(91,1),(96,1),(101,1),(126,1),(127,1)}
       111:{2,4,6,7}:{(91,1),(92,1),(97,1),(126,1),(127,1)}
       112:{1,4,5,7}:{(93,1),(94,1),(96,1),(102,1),(128,1),(129,1)}
       113:{1,4,6,7}:{(94,1),(95,1),(97,1),(128,1),(129,1)}
       114:{3,4,6}:{(96,1),(103,1),(126,1),(128,1),(130,1),(133,1),(141,1),(146,1)}
       115:{3,5,7}:{(97,1),(127,1),(129,1),(130,1),(131,1)}
       116:{4,6,7}:{(98,1),(131,1),(133,1),(146,1)}
       117:{1,2,5,7}:{(99,1),(100,1),(101,1),(102,1),(132,1)}
       118:{2,3,6}:{(101,1),(103,1),(126,1),(132,1),(141,1)}
       119:{1,3,6}:{(102,1),(103,1),(128,1),(132,1),(141,1)}
       120:{3,5,6}:{(103,1),(104,1),(105,1),(133,1)}
       121:{4,5,7}:{(104,1),(133,1)}
       122:{3,5}:{(106,1),(107,1)}
       123:{3,4,7}:{(106,1),(108,1),(134,1)}
       124:{1,2,4,5,7}:{(107,1),(108,1),(110,1),(112,1),(117,1),(134,1),(136,1),(137,1),(145,1)}
       125:{1,2,4,6,7}:{(108,1),(109,1),(111,1),(113,1),(135,1),(136,1),(137,1)}
       126:{2,4,6}:{(110,1),(114,1),(118,1),(138,1)}
       127:{2,5,7}:{(111,1),(115,1),(138,1)}
       128:{1,4,6}:{(112,1),(114,1),(119,1),(139,1)}
       129:{1,5,7}:{(113,1),(115,1),(139,1)}
       130:{3,5,6}:{(114,1),(115,1),(138,1),(139,1),(140,1)}
       131:{4,5,7}:{(115,1),(116,1),(140,1)}
       132:{1,2,6}:{(117,1),(118,1),(119,1)}
       133:{4,6}:{(120,1),(121,1)}
       134:{3,5,7}:{(122,1),(123,1),(124,1),(141,1)}
       135:{3,4,6,7}:{(123,1),(125,1),(141,1),(142,1),(146,1)}
       136:{1,2,4,6}:{(124,1),(126,1),(128,1),(132,1),(141,1),(143,1),(146,1)}
       137:{1,2,5,7}:{(125,1),(127,1),(129,1),(142,1),(143,1)}
       138:{2,5,6}:{(126,1),(127,1),(130,1)}
       139:{1,5,6}:{(128,1),(129,1),(130,1)}
       140:{4,5,6}:{(130,1),(131,1),(133,1),(146,1)}
       141:{3,6}:{(134,1),(136,1)}
       142:{3,5,7}:{(135,1),(137,1),(144,1),(145,1)}
       143:{1,2,5,6}:{(136,1),(137,1),(138,1),(139,1),(144,1)}
       144:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       145:{4,5,7}:{(142,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

1644 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(75,1),(76,1),(78,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(14,1),(39,1),(40,1),(41,1),(44,1),(46,1),(78,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(8,1),(24,1),(82,1),(83,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(57,1),(58,1),(62,1),(64,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(49,1),(50,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(15,1),(33,1),(41,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(12,1),(94,1),(95,1)}
         7:{1,2,4,5}:{(4,1),(14,1),(35,1),(36,1),(44,1)}
         8:{1,2,4,7}:{(3,1),(4,1),(15,1),(67,1),(68,1)}
         9:{3,4,6}:{(4,1),(14,1),(15,1),(41,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,4,5,6}:{(7,1),(22,1),(23,1),(24,1),(49,1),(50,1),(51,1),(59,1),(86,1),(87,1)}
        12:{1,2,5,6}:{(6,1),(18,1),(24,1),(86,1),(87,1)}
        13:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(24,1),(25,1),(53,1),(54,1),(62,1)}
        14:{3,5}:{(7,1),(9,1)}
        15:{3,4,7}:{(8,1),(9,1),(25,1)}
        16:{1,3,4,6}:{(9,1),(26,1),(28,1),(30,1),(49,1),(60,1),(85,1),(90,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(27,1),(29,1),(30,1),(50,1),(61,1),(85,1),(90,1),(105,1)}
        18:{3,5,6}:{(10,1),(12,1),(33,1),(41,1)}
        19:{4,5,7}:{(10,1),(33,1)}
        20:{3,4,5}:{(14,1),(32,1),(35,1),(36,1),(74,1)}
        21:{1,2,5,6,7}:{(12,1),(31,1),(37,1),(94,1),(95,1)}
        22:{1,2,4,5,7}:{(11,1),(37,1),(38,1),(65,1),(67,1),(68,1),(77,1),(94,1),(95,1)}
        23:{3,5,6}:{(11,1),(14,1),(32,1),(38,1),(41,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(33,1),(41,1),(71,1),(72,1),(78,1)}
        25:{3,5,7}:{(13,1),(14,1),(15,1),(41,1)}
        26:{1,3,5}:{(14,1),(16,1),(35,1),(44,1),(74,1),(109,1)}
        27:{2,3,5}:{(14,1),(17,1),(36,1),(44,1),(74,1),(109,1)}
        28:{1,3,4,7}:{(15,1),(16,1),(42,1),(45,1),(67,1),(97,1),(100,1)}
        29:{2,3,4,7}:{(15,1),(17,1),(43,1),(45,1),(68,1),(97,1),(100,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(44,1),(45,1),(46,1),(78,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(47,1),(56,1),(81,1)}
        32:{3,4,6}:{(20,1),(23,1),(48,1),(49,1),(50,1),(85,1)}
        33:{4,6}:{(18,1),(19,1)}
        34:{3,4,5,7}:{(19,1),(20,1),(25,1),(48,1),(52,1),(53,1),(54,1),(81,1),(89,1),(110,1),(111,1)}
        35:{1,4,5}:{(20,1),(26,1),(49,1),(111,1)}
        36:{2,4,5}:{(20,1),(27,1),(50,1),(111,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(24,1),(47,1),(56,1),(82,1),(83,1),(91,1)}
        38:{3,5,7}:{(22,1),(23,1),(48,1),(56,1)}
        39:{1,3,5,6}:{(23,1),(26,1),(49,1),(57,1),(59,1),(60,1),(85,1),(86,1),(104,1)}
        40:{2,3,5,6}:{(23,1),(27,1),(50,1),(58,1),(59,1),(61,1),(85,1),(87,1),(104,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,3,5,7}:{(25,1),(26,1),(28,1),(53,1),(60,1),(62,1),(89,1)}
        43:{2,3,5,7}:{(25,1),(27,1),(29,1),(54,1),(61,1),(62,1),(89,1)}
        44:{1,2,5}:{(26,1),(27,1),(30,1)}
        45:{1,2,4,7}:{(28,1),(29,1),(30,1),(62,1),(64,1)}
        46:{1,2,3,6}:{(30,1),(63,1),(64,1),(85,1)}
        47:{4,6,7}:{(31,1),(33,1),(65,1)}
        48:{3,4,7}:{(32,1),(38,1),(67,1),(68,1),(97,1)}
        49:{1,4,6}:{(32,1),(35,1),(39,1),(67,1),(108,1)}
        50:{2,4,6}:{(32,1),(36,1),(40,1),(68,1),(108,1)}
        51:{4,5,6}:{(33,1),(65,1),(70,1),(108,1)}
        52:{3,4,6}:{(33,1),(34,1),(41,1),(70,1),(71,1),(72,1),(99,1),(108,1)}
        53:{1,4,5,7}:{(34,1),(35,1),(42,1),(67,1),(71,1),(94,1)}
        54:{2,4,5,7}:{(34,1),(36,1),(43,1),(68,1),(72,1),(95,1)}
        55:{1,2,4,5}:{(35,1),(36,1),(44,1),(69,1),(74,1),(80,1)}
        56:{3,6,7}:{(37,1),(38,1),(41,1)}
        57:{1,3,5,7}:{(38,1),(39,1),(67,1),(75,1),(77,1),(94,1),(97,1),(107,1)}
        58:{2,3,5,7}:{(38,1),(40,1),(68,1),(76,1),(77,1),(95,1),(97,1),(107,1)}
        59:{1,2,5,6}:{(39,1),(40,1),(44,1),(69,1),(77,1),(78,1)}
        60:{1,3,6}:{(41,1),(42,1),(71,1),(78,1),(99,1)}
        61:{2,3,6}:{(41,1),(43,1),(72,1),(78,1),(99,1)}
        62:{1,2,5,7}:{(42,1),(43,1),(44,1),(45,1),(78,1)}
        63:{1,2,3,5}:{(44,1),(46,1),(74,1),(80,1)}
        64:{1,2,3,7}:{(45,1),(46,1),(97,1)}
        65:{4,5,7}:{(47,1),(51,1),(81,1),(110,1)}
        66:{3,4,6,7}:{(47,1),(48,1),(52,1),(56,1),(81,1),(82,1),(83,1),(103,1),(110,1)}
        67:{1,4,7}:{(48,1),(49,1),(57,1),(110,1)}
        68:{2,4,7}:{(48,1),(50,1),(58,1),(110,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(55,1),(59,1),(84,1),(85,1)}
        70:{3,5,6}:{(51,1),(52,1),(81,1),(86,1),(87,1)}
        71:{1,4,6}:{(52,1),(53,1),(60,1),(86,1)}
        72:{2,4,6}:{(52,1),(54,1),(61,1),(87,1)}
        73:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(62,1),(84,1),(88,1),(89,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        74:{3,5}:{(55,1),(85,1),(90,1)}
        75:{1,3,6,7}:{(56,1),(57,1),(60,1),(82,1),(91,1),(103,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(61,1),(83,1),(91,1),(103,1)}
        77:{1,2,5,7}:{(57,1),(58,1),(59,1),(84,1),(91,1)}
        78:{1,2,6}:{(60,1),(61,1),(62,1)}
        79:{1,2,3,5,7}:{(62,1),(63,1),(64,1),(89,1),(92,1),(93,1),(106,1)}
        80:{1,2,4}:{(63,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(70,1),(94,1),(95,1)}
        82:{1,4,6,7}:{(66,1),(67,1),(71,1),(75,1),(94,1)}
        83:{2,4,6,7}:{(66,1),(68,1),(72,1),(76,1),(95,1)}
        84:{1,2,4,7}:{(67,1),(68,1),(69,1),(77,1),(97,1)}
        85:{3,6}:{(69,1),(74,1),(97,1)}
        86:{1,5,6}:{(70,1),(71,1),(94,1)}
        87:{2,5,6}:{(70,1),(72,1),(95,1)}
        88:{1,2,4,6}:{(71,1),(72,1),(73,1),(78,1),(98,1),(99,1),(108,1)}
        89:{3,5,7}:{(73,1),(74,1),(97,1),(99,1),(100,1),(109,1)}
        90:{3,4}:{(74,1),(80,1)}
        91:{1,2,6,7}:{(75,1),(76,1),(77,1),(78,1)}
        92:{1,2,3,6}:{(78,1),(79,1),(99,1),(101,1)}
        93:{1,2,4,7}:{(79,1),(80,1),(100,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(86,1)}
        95:{2,5,7}:{(81,1),(83,1),(87,1)}
        96:{1,2,4,6,7}:{(82,1),(83,1),(84,1),(88,1),(91,1),(102,1),(103,1),(110,1)}
        97:{3,7}:{(84,1),(85,1)}
        98:{1,2,5,6}:{(86,1),(87,1),(88,1),(102,1),(104,1),(106,1)}
        99:{3,6}:{(88,1),(89,1)}
       100:{3,4,7}:{(89,1),(90,1),(93,1),(105,1),(110,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(98,1),(107,1)}
       103:{3,6,7}:{(96,1),(97,1),(99,1),(107,1)}
       104:{3,5,6}:{(98,1),(99,1),(107,1),(108,1),(109,1)}
       105:{3,4,6}:{(99,1),(100,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(104,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1645 :   0:{1,3,5,6,7}:{(2,1),(3,1),(13,1),(14,1),(36,1),(42,1),(80,1)}
         1:{2,3,5,6,7}:{(2,1),(4,1),(13,1),(17,1),(40,1),(43,1),(77,1)}
         2:{1,2,5,6,7}:{(0,1),(1,1),(5,1),(28,1),(31,1),(58,1),(61,1),(64,1)}
         3:{1,4,6,7}:{(0,1),(6,1),(7,1),(56,1),(62,1),(100,1)}
         4:{2,4,6,7}:{(1,1),(8,1),(9,1),(60,1),(63,1),(97,1)}
         5:{1,2,4,6,7}:{(2,1),(3,1),(4,1),(12,1),(13,1),(16,1),(18,1),(44,1),(76,1),(79,1),(83,1)}
         6:{1,4,5,7}:{(3,1),(10,1),(14,1),(119,1)}
         7:{3,4,6,7}:{(3,1),(13,1),(14,1),(16,1),(35,1),(41,1),(118,1)}
         8:{2,4,5,7}:{(4,1),(11,1),(17,1),(116,1)}
         9:{3,4,6,7}:{(4,1),(13,1),(17,1),(18,1),(38,1),(41,1),(115,1)}
        10:{1,4,5,6}:{(6,1),(21,1),(56,1)}
        11:{2,4,5,6}:{(8,1),(22,1),(60,1)}
        12:{1,2,4,5,7}:{(5,1),(6,1),(8,1),(20,1),(23,1),(28,1),(31,1),(62,1),(63,1),(64,1)}
        13:{3,6,7}:{(5,1),(23,1),(96,1),(99,1),(103,1)}
        14:{3,5,7}:{(6,1),(7,1),(21,1),(28,1),(132,1)}
        15:{1,3,4,6,7}:{(7,1),(24,1),(27,1),(29,1),(56,1),(62,1),(92,1),(96,1),(103,1),(105,1),(129,1)}
        16:{2,4,6,7}:{(7,1),(25,1),(28,1),(57,1),(63,1),(131,1)}
        17:{3,5,7}:{(8,1),(9,1),(22,1),(31,1),(130,1)}
        18:{1,4,6,7}:{(9,1),(24,1),(31,1),(59,1),(62,1),(129,1)}
        19:{2,3,4,6,7}:{(9,1),(25,1),(32,1),(33,1),(60,1),(63,1),(93,1),(99,1),(103,1),(107,1),(131,1)}
        20:{1,2,4,5,6}:{(10,1),(11,1),(12,1),(34,1),(37,1),(39,1),(72,1),(73,1),(74,1),(76,1),(79,1),(110,1),(116,1),(119,1),(136,1),(137,1)}
        21:{3,5,6}:{(10,1),(14,1),(35,1),(37,1)}
        22:{3,5,6}:{(11,1),(17,1),(38,1),(39,1)}
        23:{3,5,7}:{(12,1),(13,1),(34,1),(41,1)}
        24:{1,3,6,7}:{(13,1),(18,1),(42,1),(44,1),(78,1),(114,1)}
        25:{2,3,6,7}:{(13,1),(16,1),(43,1),(44,1),(75,1),(117,1)}
        26:{3,4,5,7}:{(14,1),(35,1),(41,1),(45,1),(46,1),(71,1),(85,1)}
        27:{1,3,5,7}:{(14,1),(15,1),(36,1),(45,1),(47,1),(85,1),(108,1),(136,1)}
        28:{2,5,7}:{(14,1),(16,1),(37,1),(137,1)}
        29:{1,2,4,6,7}:{(15,1),(16,1),(44,1),(47,1),(48,1),(76,1),(83,1),(86,1),(111,1)}
        30:{3,4,5,7}:{(17,1),(38,1),(41,1),(49,1),(50,1),(71,1),(88,1)}
        31:{1,5,7}:{(17,1),(18,1),(39,1),(136,1)}
        32:{2,3,5,7}:{(17,1),(19,1),(40,1),(50,1),(51,1),(88,1),(109,1),(137,1)}
        33:{1,2,4,6,7}:{(18,1),(19,1),(44,1),(51,1),(52,1),(79,1),(83,1),(89,1),(112,1)}
        34:{3,5,6}:{(20,1),(23,1),(53,1),(96,1),(99,1),(126,1),(130,1),(132,1)}
        35:{3,4,6}:{(21,1),(26,1),(56,1),(57,1),(96,1)}
        36:{1,3,5,6}:{(21,1),(27,1),(56,1),(58,1),(96,1)}
        37:{2,5,6}:{(21,1),(28,1),(57,1)}
        38:{3,4,6}:{(22,1),(30,1),(59,1),(60,1),(99,1)}
        39:{1,5,6}:{(22,1),(31,1),(59,1)}
        40:{2,3,5,6}:{(22,1),(32,1),(60,1),(61,1),(99,1)}
        41:{3,4,7}:{(23,1),(53,1),(62,1),(63,1),(103,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(31,1),(54,1),(62,1),(64,1),(103,1)}
        43:{2,3,5,7}:{(23,1),(25,1),(28,1),(55,1),(63,1),(64,1),(103,1)}
        44:{1,2,6,7}:{(24,1),(25,1),(64,1),(95,1),(98,1)}
        45:{1,4,5,7}:{(26,1),(27,1),(56,1),(62,1),(90,1)}
        46:{2,4,5,7}:{(26,1),(28,1),(57,1),(63,1),(65,1),(91,1)}
        47:{1,2,5,7}:{(27,1),(28,1),(29,1),(58,1),(67,1),(124,1)}
        48:{2,3,6,7}:{(29,1),(67,1),(96,1),(103,1),(127,1)}
        49:{1,4,5,7}:{(30,1),(31,1),(59,1),(62,1),(68,1),(90,1)}
        50:{2,4,5,7}:{(30,1),(32,1),(60,1),(63,1),(91,1)}
        51:{1,2,5,7}:{(31,1),(32,1),(33,1),(61,1),(70,1),(125,1)}
        52:{1,3,6,7}:{(33,1),(70,1),(99,1),(103,1),(128,1)}
        53:{3,4,6}:{(34,1),(41,1),(71,1),(72,1),(73,1),(113,1),(135,1)}
        54:{1,3,5,6}:{(34,1),(39,1),(42,1),(72,1),(74,1),(78,1),(108,1),(113,1),(114,1),(134,1),(136,1)}
        55:{2,3,5,6}:{(34,1),(37,1),(43,1),(73,1),(74,1),(75,1),(109,1),(113,1),(117,1),(133,1),(137,1)}
        56:{1,4,6}:{(35,1),(36,1),(45,1)}
        57:{2,4,6}:{(35,1),(37,1),(46,1),(75,1)}
        58:{1,2,5,6}:{(36,1),(37,1),(47,1),(76,1),(77,1),(136,1)}
        59:{1,4,6}:{(38,1),(39,1),(49,1),(78,1)}
        60:{2,4,6}:{(38,1),(40,1),(50,1)}
        61:{1,2,5,6}:{(39,1),(40,1),(51,1),(79,1),(80,1),(137,1)}
        62:{1,4,7}:{(41,1),(42,1),(72,1)}
        63:{2,4,7}:{(41,1),(43,1),(73,1)}
        64:{1,2,5,7}:{(42,1),(43,1),(44,1),(74,1),(83,1)}
        65:{2,3,5,7}:{(46,1),(75,1),(82,1),(84,1),(85,1),(109,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(76,1),(83,1),(84,1),(85,1),(86,1),(110,1),(116,1),(122,1),(136,1)}
        67:{2,3,5,7}:{(47,1),(48,1),(77,1),(85,1),(86,1),(133,1)}
        68:{1,3,5,7}:{(49,1),(78,1),(81,1),(87,1),(88,1),(108,1)}
        69:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(79,1),(83,1),(87,1),(88,1),(89,1),(110,1),(119,1),(123,1),(137,1)}
        70:{1,3,5,7}:{(51,1),(52,1),(80,1),(88,1),(89,1),(134,1)}
        71:{3,4,5}:{(53,1),(90,1),(91,1),(126,1),(130,1),(132,1)}
        72:{1,4,6}:{(53,1),(54,1),(62,1),(90,1),(139,1)}
        73:{2,4,6}:{(53,1),(55,1),(63,1),(91,1),(138,1)}
        74:{1,2,5,6}:{(54,1),(55,1),(64,1),(94,1),(95,1),(98,1),(124,1),(125,1)}
        75:{2,3,6}:{(57,1),(65,1),(95,1),(96,1)}
        76:{1,2,4,6}:{(56,1),(57,1),(58,1),(66,1),(95,1),(96,1),(97,1),(129,1)}
        77:{2,3,5,6}:{(58,1),(67,1),(96,1),(97,1),(130,1)}
        78:{1,3,6}:{(59,1),(68,1),(98,1),(99,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(69,1),(98,1),(99,1),(100,1),(131,1)}
        80:{1,3,5,6}:{(61,1),(70,1),(99,1),(100,1),(132,1)}
        81:{1,3,4,7}:{(62,1),(68,1),(92,1),(101,1),(103,1),(107,1)}
        82:{2,3,4,7}:{(63,1),(65,1),(93,1),(102,1),(103,1),(105,1)}
        83:{1,2,4,7}:{(62,1),(63,1),(64,1),(94,1),(103,1)}
        84:{1,2,5,7}:{(65,1),(95,1),(102,1),(104,1),(125,1)}
        85:{3,5,7}:{(66,1),(96,1),(103,1),(105,1),(126,1),(130,1)}
        86:{2,4,7}:{(67,1),(97,1),(105,1),(138,1)}
        87:{1,2,5,7}:{(68,1),(98,1),(101,1),(106,1),(124,1)}
        88:{3,5,7}:{(69,1),(99,1),(103,1),(107,1),(126,1),(132,1)}
        89:{1,4,7}:{(70,1),(100,1),(107,1),(139,1)}
        90:{1,4,5}:{(71,1),(72,1),(108,1),(136,1)}
        91:{2,4,5}:{(71,1),(73,1),(109,1),(137,1)}
        92:{1,3,4,6}:{(72,1),(78,1),(81,1),(108,1),(111,1),(113,1),(118,1),(135,1)}
        93:{2,3,4,6}:{(73,1),(75,1),(82,1),(109,1),(112,1),(113,1),(115,1),(135,1)}
        94:{1,2,4,6}:{(72,1),(73,1),(74,1),(83,1),(110,1),(113,1)}
        95:{1,2,6}:{(75,1),(84,1),(114,1)}
        96:{3,6}:{(76,1),(85,1)}
        97:{2,4,6}:{(77,1),(86,1),(115,1),(116,1)}
        98:{1,2,6}:{(78,1),(87,1),(117,1)}
        99:{3,6}:{(79,1),(88,1)}
       100:{1,4,6}:{(80,1),(89,1),(118,1),(119,1)}
       101:{1,2,4,7}:{(81,1),(87,1),(111,1),(120,1),(123,1)}
       102:{1,2,4,7}:{(82,1),(84,1),(112,1),(121,1),(122,1)}
       103:{3,7}:{(83,1),(113,1)}
       104:{1,3,5,7}:{(84,1),(85,1),(114,1),(121,1),(122,1),(134,1),(136,1)}
       105:{3,4,7}:{(85,1),(86,1),(115,1),(122,1),(135,1)}
       106:{2,3,5,7}:{(87,1),(88,1),(117,1),(120,1),(123,1),(133,1),(137,1)}
       107:{3,4,7}:{(88,1),(89,1),(118,1),(123,1),(135,1)}
       108:{1,3,5}:{(90,1),(92,1),(124,1),(126,1),(132,1)}
       109:{2,3,5}:{(91,1),(93,1),(125,1),(126,1),(130,1)}
       110:{1,2,4,5}:{(90,1),(91,1),(94,1),(124,1),(125,1),(126,1),(138,1),(139,1)}
       111:{1,2,4,6}:{(92,1),(98,1),(101,1),(124,1),(127,1),(131,1),(138,1)}
       112:{1,2,4,6}:{(93,1),(95,1),(102,1),(125,1),(128,1),(129,1),(139,1)}
       113:{3,6}:{(94,1),(103,1),(126,1)}
       114:{1,3,6}:{(95,1),(96,1),(104,1),(129,1)}
       115:{3,4,6}:{(96,1),(97,1),(105,1),(129,1),(130,1)}
       116:{2,4,5}:{(97,1),(130,1)}
       117:{2,3,6}:{(98,1),(99,1),(106,1),(131,1)}
       118:{3,4,6}:{(99,1),(100,1),(107,1),(131,1),(132,1)}
       119:{1,4,5}:{(100,1),(132,1)}
       120:{2,3,7}:{(101,1),(103,1),(127,1)}
       121:{1,3,7}:{(102,1),(103,1),(128,1)}
       122:{1,4,7}:{(104,1),(105,1),(129,1),(139,1)}
       123:{2,4,7}:{(106,1),(107,1),(131,1),(138,1)}
       124:{1,2,5}:{(108,1),(111,1),(133,1),(137,1)}
       125:{1,2,5}:{(109,1),(112,1),(134,1),(136,1)}
       126:{3,5}:{(110,1),(113,1),(135,1)}
       127:{2,3,6}:{(111,1),(113,1),(120,1),(133,1)}
       128:{1,3,6}:{(112,1),(113,1),(121,1),(134,1)}
       129:{1,4,6}:{(114,1),(115,1),(122,1),(136,1)}
       130:{3,5}:{(115,1),(116,1),(136,1)}
       131:{2,4,6}:{(117,1),(118,1),(123,1),(137,1)}
       132:{3,5}:{(118,1),(119,1),(137,1)}
       133:{2,3,5}:{(124,1),(126,1),(127,1),(138,1)}
       134:{1,3,5}:{(125,1),(126,1),(128,1),(139,1)}
       135:{3,4}:{(126,1),(138,1),(139,1)}
       136:{1,5}:{(129,1),(130,1)}
       137:{2,5}:{(131,1),(132,1)}
       138:{2,4}:{(133,1),(135,1)}
       139:{1,4}:{(134,1),(135,1)}

1646 :   0:{1,2,3,5,6}:{(1,1),(2,1),(7,1),(10,1),(35,1),(37,1),(39,1),(42,1),(45,1),(78,1)}
         1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(50,1),(52,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(18,1),(24,1),(28,1),(57,1),(58,1),(60,1)}
         3:{3,4,6}:{(1,1),(10,1),(11,1),(42,1)}
         4:{1,2,4,5}:{(1,1),(10,1),(31,1),(32,1),(35,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(11,1),(71,1),(73,1)}
         6:{1,2,3,6,7}:{(2,1),(14,1),(42,1),(78,1),(79,1),(80,1)}
         7:{1,2,3,6}:{(15,1),(17,1),(18,1),(83,1)}
         8:{2,3,4,6}:{(3,1),(17,1),(19,1),(20,1),(46,1),(50,1),(59,1),(83,1),(85,1)}
         9:{1,3,4,6}:{(3,1),(17,1),(21,1),(22,1),(46,1),(52,1),(61,1),(83,1),(85,1)}
        10:{3,5}:{(3,1),(4,1)}
        11:{3,4,7}:{(3,1),(5,1),(24,1)}
        12:{1,2,4,5,6}:{(4,1),(23,1),(26,1),(27,1),(50,1),(52,1),(56,1),(90,1),(92,1),(94,1)}
        13:{1,2,4,5,7}:{(4,1),(5,1),(24,1),(27,1),(28,1),(51,1),(53,1),(57,1),(64,1)}
        14:{1,2,4,6,7}:{(5,1),(6,1),(25,1),(27,1),(28,1),(89,1),(91,1)}
        15:{1,2,3,5}:{(7,1),(29,1),(35,1),(66,1)}
        16:{3,4,5}:{(10,1),(31,1),(32,1),(33,1),(66,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(9,1),(29,1),(35,1),(36,1),(78,1)}
        18:{1,2,3,7}:{(7,1),(36,1),(97,1)}
        19:{2,3,5}:{(8,1),(10,1),(31,1),(35,1),(66,1),(99,1)}
        20:{2,3,4,7}:{(8,1),(11,1),(36,1),(38,1),(67,1),(71,1),(97,1)}
        21:{1,3,5}:{(9,1),(10,1),(32,1),(35,1),(66,1),(99,1)}
        22:{1,3,4,7}:{(9,1),(11,1),(36,1),(40,1),(67,1),(73,1),(97,1)}
        23:{3,5,6}:{(10,1),(12,1),(33,1),(41,1),(42,1)}
        24:{3,5,7}:{(10,1),(11,1),(13,1),(42,1)}
        25:{3,4,6,7}:{(11,1),(14,1),(42,1),(43,1),(82,1)}
        26:{1,2,4,5,7}:{(12,1),(41,1),(44,1),(71,1),(73,1),(77,1),(102,1),(103,1),(104,1)}
        27:{1,2,4,6}:{(13,1),(42,1),(45,1),(72,1),(74,1),(78,1),(82,1)}
        28:{1,2,5,7}:{(14,1),(43,1),(45,1),(102,1),(103,1)}
        29:{1,2,4}:{(15,1),(46,1)}
        30:{1,2,3,5,7}:{(15,1),(18,1),(48,1),(49,1),(57,1),(84,1),(88,1)}
        31:{2,4,5}:{(16,1),(19,1),(50,1),(107,1)}
        32:{1,4,5}:{(16,1),(21,1),(52,1),(107,1)}
        33:{3,4,6}:{(16,1),(23,1),(50,1),(52,1),(54,1),(83,1)}
        34:{3,4,5,7}:{(16,1),(24,1),(51,1),(53,1),(54,1),(55,1),(64,1),(84,1),(93,1),(107,1),(111,1)}
        35:{1,2,5}:{(17,1),(19,1),(21,1)}
        36:{1,2,4,7}:{(17,1),(18,1),(20,1),(22,1),(57,1)}
        37:{2,3,5,6}:{(19,1),(23,1),(50,1),(56,1),(58,1),(59,1),(83,1),(90,1),(106,1)}
        38:{2,3,5,7}:{(19,1),(20,1),(24,1),(51,1),(57,1),(59,1),(84,1)}
        39:{1,3,5,6}:{(21,1),(23,1),(52,1),(56,1),(60,1),(61,1),(83,1),(92,1),(106,1)}
        40:{1,3,5,7}:{(21,1),(22,1),(24,1),(53,1),(57,1),(61,1),(84,1)}
        41:{3,5,7}:{(23,1),(26,1),(54,1),(62,1)}
        42:{3,6}:{(24,1),(27,1)}
        43:{3,5,7}:{(25,1),(28,1),(63,1),(64,1)}
        44:{1,2,4,6,7}:{(26,1),(27,1),(62,1),(65,1),(89,1),(91,1),(95,1),(96,1)}
        45:{1,2,5,6}:{(27,1),(28,1),(63,1),(90,1),(92,1)}
        46:{3,4}:{(29,1),(66,1)}
        47:{1,2,4,5}:{(29,1),(31,1),(32,1),(35,1),(66,1),(68,1)}
        48:{1,2,4,7}:{(29,1),(30,1),(67,1),(70,1)}
        49:{1,2,3,6}:{(30,1),(70,1),(78,1),(98,1)}
        50:{2,4,6}:{(31,1),(33,1),(37,1),(71,1),(110,1)}
        51:{2,4,5,7}:{(31,1),(34,1),(38,1),(71,1),(72,1),(102,1)}
        52:{1,4,6}:{(32,1),(33,1),(39,1),(73,1),(110,1)}
        53:{1,4,5,7}:{(32,1),(34,1),(40,1),(73,1),(74,1),(103,1)}
        54:{3,4,7}:{(33,1),(41,1),(71,1),(73,1),(97,1)}
        55:{3,4,6}:{(34,1),(42,1),(72,1),(74,1),(76,1),(82,1),(98,1),(110,1)}
        56:{1,2,5,6}:{(35,1),(37,1),(39,1),(68,1),(77,1),(78,1)}
        57:{1,2,5,7}:{(35,1),(36,1),(38,1),(40,1),(78,1)}
        58:{2,3,5,7}:{(37,1),(41,1),(71,1),(77,1),(79,1),(97,1),(102,1),(109,1)}
        59:{2,3,6}:{(38,1),(42,1),(72,1),(78,1),(98,1)}
        60:{1,3,5,7}:{(39,1),(41,1),(73,1),(77,1),(80,1),(97,1),(103,1),(109,1)}
        61:{1,3,6}:{(40,1),(42,1),(74,1),(78,1),(98,1)}
        62:{3,6,7}:{(41,1),(42,1),(44,1)}
        63:{3,5,6}:{(42,1),(43,1),(45,1),(82,1)}
        64:{4,5,7}:{(43,1),(82,1)}
        65:{1,2,5,6,7}:{(44,1),(45,1),(81,1),(102,1),(103,1)}
        66:{3,5}:{(46,1),(47,1),(83,1)}
        67:{3,4,7}:{(46,1),(48,1),(84,1),(85,1),(111,1)}
        68:{1,2,4,6}:{(47,1),(50,1),(52,1),(56,1),(83,1),(86,1)}
        69:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(53,1),(57,1),(84,1),(86,1),(87,1),(88,1),(107,1),(108,1),(111,1)}
        70:{1,2,4,6}:{(48,1),(49,1),(85,1),(88,1)}
        71:{2,4,7}:{(50,1),(54,1),(58,1),(111,1)}
        72:{2,4,6}:{(51,1),(55,1),(59,1),(90,1)}
        73:{1,4,7}:{(52,1),(54,1),(60,1),(111,1)}
        74:{1,4,6}:{(53,1),(55,1),(61,1),(92,1)}
        75:{3,4,6,7}:{(54,1),(55,1),(62,1),(89,1),(91,1),(93,1),(96,1),(105,1),(111,1)}
        76:{3,5,6}:{(55,1),(90,1),(92,1),(93,1),(94,1)}
        77:{1,2,5,7}:{(56,1),(58,1),(60,1),(86,1),(95,1)}
        78:{1,2,6}:{(57,1),(59,1),(61,1)}
        79:{2,3,6,7}:{(58,1),(59,1),(62,1),(89,1),(95,1),(105,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(62,1),(91,1),(95,1),(105,1)}
        81:{3,5,6,7}:{(62,1),(63,1),(65,1),(93,1),(96,1)}
        82:{4,6}:{(63,1),(64,1)}
        83:{3,6}:{(66,1),(68,1),(97,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(97,1),(98,1),(99,1)}
        85:{3,4,6}:{(67,1),(70,1),(98,1),(99,1),(110,1)}
        86:{1,2,4,7}:{(68,1),(71,1),(73,1),(77,1),(97,1)}
        87:{1,2,4,6}:{(69,1),(72,1),(74,1),(78,1),(98,1),(101,1),(110,1)}
        88:{1,2,5}:{(70,1),(99,1)}
        89:{2,4,6,7}:{(71,1),(72,1),(75,1),(79,1),(102,1)}
        90:{2,5,6}:{(72,1),(76,1),(102,1)}
        91:{1,4,6,7}:{(73,1),(74,1),(75,1),(80,1),(103,1)}
        92:{1,5,6}:{(74,1),(76,1),(103,1)}
        93:{3,5,7}:{(75,1),(76,1),(102,1),(103,1),(104,1)}
        94:{4,5,6}:{(76,1),(82,1),(104,1),(110,1)}
        95:{1,2,6,7}:{(77,1),(78,1),(79,1),(80,1)}
        96:{4,6,7}:{(81,1),(82,1),(104,1)}
        97:{3,7}:{(83,1),(86,1)}
        98:{3,6}:{(84,1),(87,1)}
        99:{3,5}:{(85,1),(88,1),(107,1)}
       100:{1,2,4,6,7}:{(86,1),(87,1),(89,1),(91,1),(95,1),(105,1),(108,1),(111,1)}
       101:{1,2,5,6}:{(87,1),(88,1),(90,1),(92,1),(106,1),(108,1)}
       102:{2,5,7}:{(89,1),(90,1),(93,1)}
       103:{1,5,7}:{(91,1),(92,1),(93,1)}
       104:{4,5,7}:{(93,1),(94,1),(96,1),(111,1)}
       105:{3,6,7}:{(97,1),(98,1),(100,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(101,1),(109,1),(110,1)}
       107:{4,5}:{(99,1),(110,1)}
       108:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(109,1)}
       109:{3,5,7}:{(105,1),(106,1),(108,1),(111,1)}
       110:{4,6}:{(106,1),(107,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1647 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(20,1),(51,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(32,1),(66,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(46,1),(81,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(18,1),(23,1),(45,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(19,1),(23,1),(44,1),(83,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(61,1),(101,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(60,1),(100,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(30,1),(31,1),(103,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(41,1),(81,1),(150,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(21,1),(23,1),(37,1),(46,1)}
        13:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(23,1),(38,1),(46,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(23,1),(122,1)}
        15:{1,2,3,5,6,7}:{(8,1),(23,1),(24,1),(44,1),(45,1),(47,1),(50,1),(70,1),(82,1),(83,1),(84,1),(125,1),(157,1),(169,1),(171,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(25,1),(101,1),(158,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(26,1),(100,1),(161,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(25,1),(30,1),(32,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(26,1),(31,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(27,1),(30,1),(31,1),(32,1),(60,1),(61,1)}
        21:{1,2,4,6,7}:{(12,1),(30,1),(33,1),(52,1),(60,1)}
        22:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(53,1),(61,1)}
        23:{3,6,7}:{(14,1),(32,1),(142,1)}
        24:{1,2,4,6,7}:{(15,1),(35,1),(36,1),(60,1),(61,1),(90,1),(100,1),(101,1),(173,1),(174,1)}
        25:{1,3,5,6}:{(16,1),(18,1),(37,1),(39,1),(41,1),(144,1)}
        26:{2,3,5,6}:{(17,1),(19,1),(38,1),(40,1),(41,1),(147,1)}
        27:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(39,1),(40,1),(41,1),(71,1),(72,1),(111,1),(122,1)}
        28:{1,3,4,5,7}:{(18,1),(37,1),(42,1),(46,1),(73,1),(80,1),(115,1),(121,1),(144,1)}
        29:{2,3,4,5,7}:{(19,1),(38,1),(43,1),(46,1),(73,1),(79,1),(118,1),(121,1),(147,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(39,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(40,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(41,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(68,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(69,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(50,1),(81,1),(110,1),(157,1),(172,1)}
        36:{1,2,4,5,7}:{(24,1),(50,1),(51,1),(79,1),(80,1),(82,1),(111,1)}
        37:{1,3,4,6}:{(25,1),(28,1),(52,1),(56,1),(101,1),(142,1)}
        38:{2,3,4,6}:{(26,1),(29,1),(53,1),(56,1),(100,1),(142,1)}
        39:{1,2,5,6}:{(25,1),(30,1),(52,1),(54,1),(127,1)}
        40:{1,2,5,6}:{(26,1),(31,1),(53,1),(55,1),(130,1)}
        41:{3,5,6}:{(27,1),(32,1),(56,1),(132,1),(142,1)}
        42:{1,2,4,5,7}:{(28,1),(30,1),(52,1),(57,1),(60,1),(91,1),(94,1),(127,1)}
        43:{1,2,4,5,7}:{(29,1),(31,1),(53,1),(58,1),(61,1),(92,1),(96,1),(130,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(54,1),(60,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(55,1),(61,1)}
        46:{3,4,7}:{(32,1),(56,1),(60,1),(61,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(59,1),(63,1),(86,1),(88,1),(142,1),(166,1),(167,1)}
        48:{2,3,4,6,7}:{(33,1),(35,1),(60,1),(63,1),(64,1),(87,1),(98,1),(100,1),(129,1),(142,1),(167,1),(174,1)}
        49:{1,3,4,6,7}:{(34,1),(35,1),(61,1),(63,1),(65,1),(89,1),(98,1),(101,1),(126,1),(142,1),(166,1),(173,1)}
        50:{3,5,7}:{(35,1),(36,1),(66,1),(132,1)}
        51:{1,2,4,5,6}:{(36,1),(66,1),(100,1),(101,1),(103,1)}
        52:{1,2,4,6}:{(37,1),(39,1),(42,1),(68,1),(71,1)}
        53:{1,2,4,6}:{(38,1),(40,1),(43,1),(69,1),(72,1)}
        54:{2,3,5,6}:{(39,1),(41,1),(44,1),(68,1),(71,1),(107,1)}
        55:{1,3,5,6}:{(40,1),(41,1),(45,1),(69,1),(72,1),(109,1)}
        56:{3,4,6}:{(41,1),(46,1),(71,1),(72,1),(73,1)}
        57:{2,3,5,7}:{(42,1),(68,1),(75,1),(107,1),(121,1)}
        58:{1,3,5,7}:{(43,1),(69,1),(77,1),(109,1),(121,1)}
        59:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(70,1),(78,1),(82,1),(121,1),(169,1),(171,1)}
        60:{2,4,7}:{(44,1),(46,1),(71,1)}
        61:{1,4,7}:{(45,1),(46,1),(72,1)}
        62:{3,4,5,7}:{(46,1),(50,1),(73,1),(79,1),(80,1),(81,1),(121,1),(150,1),(172,1)}
        63:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(78,1),(82,1),(106,1),(108,1),(122,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(79,1),(82,1),(83,1),(107,1),(121,1),(147,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(80,1),(82,1),(84,1),(109,1),(121,1),(144,1)}
        66:{3,5,6}:{(50,1),(51,1),(81,1)}
        67:{1,2,4,5,6,7}:{(51,1),(85,1),(123,1),(124,1),(125,1),(152,1)}
        68:{2,3,6}:{(52,1),(57,1),(142,1)}
        69:{1,3,6}:{(53,1),(58,1),(142,1)}
        70:{1,2,3,5,6}:{(54,1),(55,1),(59,1),(86,1),(88,1),(90,1),(103,1),(127,1),(130,1),(132,1),(142,1),(159,1),(162,1)}
        71:{2,4,6}:{(54,1),(56,1),(60,1),(91,1)}
        72:{1,4,6}:{(55,1),(56,1),(61,1),(92,1)}
        73:{3,4,5}:{(56,1),(91,1),(92,1),(132,1)}
        74:{1,2,3,5,7}:{(57,1),(86,1),(94,1),(127,1),(136,1)}
        75:{2,3,4,7}:{(57,1),(60,1),(87,1),(94,1),(98,1)}
        76:{1,2,3,5,7}:{(58,1),(88,1),(96,1),(130,1),(139,1)}
        77:{1,3,4,7}:{(58,1),(61,1),(89,1),(96,1),(98,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(61,1),(90,1),(98,1),(173,1),(174,1)}
        79:{2,4,5,7}:{(60,1),(62,1),(64,1),(91,1),(100,1),(161,1),(174,1)}
        80:{1,4,5,7}:{(61,1),(62,1),(65,1),(92,1),(101,1),(158,1),(173,1)}
        81:{3,4,6}:{(62,1),(66,1),(100,1),(101,1),(142,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(65,1),(103,1),(127,1),(130,1)}
        83:{2,3,5,6}:{(64,1),(66,1),(100,1),(103,1),(142,1)}
        84:{1,3,5,6}:{(65,1),(66,1),(101,1),(103,1),(142,1)}
        85:{3,5,6,7}:{(66,1),(67,1),(102,1),(165,1)}
        86:{1,2,3,6}:{(68,1),(74,1),(106,1),(153,1)}
        87:{2,3,4,6}:{(68,1),(71,1),(75,1),(106,1),(107,1),(110,1)}
        88:{1,2,3,6}:{(69,1),(76,1),(108,1),(155,1)}
        89:{1,3,4,6}:{(69,1),(72,1),(77,1),(108,1),(109,1),(110,1)}
        90:{1,2,4,6}:{(70,1),(71,1),(72,1),(78,1),(110,1),(111,1),(168,1),(170,1)}
        91:{2,4,5}:{(71,1),(73,1),(107,1)}
        92:{1,4,5}:{(72,1),(73,1),(109,1)}
        93:{3,4,5,6}:{(73,1),(81,1),(112,1),(113,1),(114,1),(151,1)}
        94:{1,2,4,7}:{(74,1),(75,1),(106,1),(115,1)}
        95:{2,3,4,5,7}:{(75,1),(79,1),(107,1),(116,1),(117,1),(121,1),(146,1),(150,1),(172,1)}
        96:{1,2,4,7}:{(76,1),(77,1),(108,1),(118,1)}
        97:{1,3,4,5,7}:{(77,1),(80,1),(109,1),(119,1),(120,1),(121,1),(149,1),(150,1),(172,1)}
        98:{3,4,7}:{(78,1),(110,1),(121,1)}
        99:{1,2,4,5,7}:{(78,1),(79,1),(80,1),(82,1),(111,1),(121,1),(122,1)}
       100:{2,4,6}:{(79,1),(81,1),(83,1)}
       101:{1,4,6}:{(80,1),(81,1),(84,1)}
       102:{3,4,6,7}:{(81,1),(85,1),(114,1),(123,1),(124,1),(157,1),(172,1)}
       103:{1,2,5,6}:{(82,1),(83,1),(84,1),(122,1)}
       104:{2,3,5,6,7}:{(83,1),(85,1),(123,1),(125,1),(146,1),(157,1),(171,1)}
       105:{1,3,5,6,7}:{(84,1),(85,1),(124,1),(125,1),(149,1),(157,1),(169,1)}
       106:{1,2,4,6}:{(86,1),(87,1),(94,1),(126,1),(127,1)}
       107:{2,3,5}:{(87,1),(91,1),(127,1),(132,1)}
       108:{1,2,4,6}:{(88,1),(89,1),(96,1),(129,1),(130,1)}
       109:{1,3,5}:{(89,1),(92,1),(130,1),(132,1)}
       110:{3,4,6}:{(90,1),(98,1),(132,1),(142,1)}
       111:{1,2,4,5}:{(90,1),(91,1),(92,1),(127,1),(130,1),(132,1),(158,1),(161,1)}
       112:{2,4,5,6}:{(91,1),(93,1),(100,1),(128,1),(134,1)}
       113:{1,4,5,6}:{(92,1),(93,1),(101,1),(131,1),(135,1)}
       114:{3,4,5,7}:{(93,1),(102,1),(134,1),(135,1),(165,1)}
       115:{1,3,4,7}:{(94,1),(98,1),(126,1),(136,1),(173,1)}
       116:{1,2,4,5,7}:{(94,1),(95,1),(127,1),(136,1),(137,1),(158,1),(160,1),(173,1)}
       117:{2,3,4,6}:{(95,1),(100,1),(128,1),(137,1),(142,1),(164,1)}
       118:{2,3,4,7}:{(96,1),(98,1),(129,1),(139,1),(174,1)}
       119:{1,2,4,5,7}:{(96,1),(97,1),(130,1),(139,1),(140,1),(161,1),(163,1),(174,1)}
       120:{1,3,4,6}:{(97,1),(101,1),(131,1),(140,1),(142,1),(164,1)}
       121:{3,5,7}:{(98,1),(99,1),(132,1),(142,1)}
       122:{1,2,4,6}:{(99,1),(100,1),(101,1),(103,1),(142,1)}
       123:{2,4,6,7}:{(100,1),(102,1),(104,1),(134,1),(174,1)}
       124:{1,4,6,7}:{(101,1),(102,1),(105,1),(135,1),(173,1)}
       125:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(143,1),(160,1),(163,1)}
       126:{1,3,4,6}:{(106,1),(110,1),(115,1),(144,1),(153,1),(168,1)}
       127:{1,2,5}:{(106,1),(107,1),(144,1)}
       128:{2,3,5,6}:{(107,1),(112,1),(117,1),(145,1),(146,1),(151,1)}
       129:{2,3,4,6}:{(108,1),(110,1),(118,1),(147,1),(155,1),(170,1)}
       130:{1,2,5}:{(108,1),(109,1),(147,1)}
       131:{1,3,5,6}:{(109,1),(113,1),(120,1),(148,1),(149,1),(151,1)}
       132:{3,5}:{(110,1),(111,1)}
       133:{1,2,4,5,6}:{(111,1),(112,1),(113,1),(122,1),(145,1),(148,1),(151,1),(152,1),(168,1),(170,1)}
       134:{2,4,5,7}:{(112,1),(114,1),(123,1),(146,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(124,1),(149,1)}
       136:{1,3,5,7}:{(115,1),(116,1),(121,1),(144,1),(153,1)}
       137:{1,2,4,6}:{(116,1),(117,1),(145,1),(153,1),(168,1)}
       138:{2,3,4,6,7}:{(117,1),(123,1),(146,1),(154,1),(157,1),(172,1)}
       139:{2,3,5,7}:{(118,1),(119,1),(121,1),(147,1),(155,1)}
       140:{1,2,4,6}:{(119,1),(120,1),(148,1),(155,1),(170,1)}
       141:{1,3,4,6,7}:{(120,1),(124,1),(149,1),(156,1),(157,1),(172,1)}
       142:{3,6}:{(121,1),(122,1)}
       143:{1,2,4,6,7}:{(122,1),(123,1),(124,1),(125,1),(152,1),(157,1)}
       144:{1,3,5}:{(126,1),(127,1),(132,1),(158,1)}
       145:{1,2,5,6}:{(127,1),(128,1),(137,1),(159,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(134,1),(138,1),(160,1),(165,1)}
       147:{2,3,5}:{(129,1),(130,1),(132,1),(161,1)}
       148:{1,2,5,6}:{(130,1),(131,1),(140,1),(162,1),(163,1)}
       149:{1,3,5,7}:{(131,1),(135,1),(141,1),(163,1),(165,1)}
       150:{3,4,5}:{(132,1),(158,1),(161,1),(164,1)}
       151:{3,5,6}:{(132,1),(133,1),(142,1),(164,1),(165,1)}
       152:{1,2,4,5,7}:{(133,1),(134,1),(135,1),(143,1),(160,1),(163,1),(165,1),(173,1),(174,1)}
       153:{1,3,6}:{(136,1),(137,1),(142,1)}
       154:{1,2,4,6,7}:{(137,1),(138,1),(160,1),(166,1),(173,1)}
       155:{2,3,6}:{(139,1),(140,1),(142,1)}
       156:{1,2,4,6,7}:{(140,1),(141,1),(163,1),(167,1),(174,1)}
       157:{3,6,7}:{(142,1),(143,1),(165,1)}
       158:{1,4,5}:{(144,1),(150,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(151,1),(153,1),(168,1),(169,1)}
       160:{1,2,5,7}:{(145,1),(146,1),(154,1),(169,1)}
       161:{2,4,5}:{(147,1),(150,1),(170,1)}
       162:{2,3,5,6}:{(147,1),(148,1),(151,1),(155,1),(170,1),(171,1)}
       163:{1,2,5,7}:{(148,1),(149,1),(156,1),(171,1)}
       164:{3,4,6}:{(150,1),(151,1),(168,1),(170,1),(172,1)}
       165:{3,5,7}:{(151,1),(152,1),(157,1),(172,1)}
       166:{1,3,6,7}:{(153,1),(154,1),(157,1),(169,1)}
       167:{2,3,6,7}:{(155,1),(156,1),(157,1),(171,1)}
       168:{1,4,6}:{(158,1),(159,1),(164,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(165,1),(166,1),(173,1)}
       170:{2,4,6}:{(161,1),(162,1),(164,1),(174,1)}
       171:{2,3,5,7}:{(162,1),(163,1),(165,1),(167,1),(174,1)}
       172:{3,4,7}:{(164,1),(165,1),(173,1),(174,1)}
       173:{1,4,7}:{(168,1),(169,1),(172,1)}
       174:{2,4,7}:{(170,1),(171,1),(172,1)}

1648 :   0:{1,4,5,6,7}:{(2,1),(16,1),(173,1)}
         1:{1,3,4,5,7}:{(3,1),(4,1),(14,1),(47,1),(84,1),(91,1),(99,1),(127,1),(132,1),(135,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(8,1),(190,1)}
         3:{1,3,4,6}:{(1,1),(10,1),(11,1),(75,1),(153,1),(158,1),(160,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(27,1),(33,1),(62,1),(72,1),(76,1)}
         5:{1,3,4,6,7}:{(3,1),(14,1),(15,1),(16,1),(45,1),(84,1),(87,1)}
         6:{3,4,6,7}:{(2,1),(13,1),(16,1),(17,1),(45,1),(175,1)}
         7:{1,3,5,6,7}:{(2,1),(14,1),(16,1),(18,1),(45,1),(128,1)}
         8:{2,5,6,7}:{(2,1),(17,1),(202,1)}
         9:{3,4,5,6}:{(13,1),(20,1),(21,1),(53,1),(142,1),(175,1)}
        10:{1,3,5,6}:{(3,1),(14,1),(20,1),(22,1),(53,1),(91,1),(138,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(22,1),(23,1),(54,1)}
        12:{2,3,5,7}:{(4,1),(23,1),(24,1),(55,1),(132,1)}
        13:{3,4,5,7}:{(6,1),(9,1),(25,1),(26,1),(61,1)}
        14:{1,3,5,7}:{(5,1),(10,1),(25,1),(27,1),(61,1),(111,1)}
        15:{1,2,4,6,7}:{(5,1),(11,1),(27,1),(28,1),(62,1)}
        16:{1,4,6,7}:{(6,1),(7,1),(25,1),(153,1)}
        17:{2,4,6,7}:{(6,1),(8,1),(26,1),(29,1),(192,1)}
        18:{1,2,5,6,7}:{(7,1),(8,1),(27,1),(30,1),(31,1),(106,1),(111,1)}
        19:{1,2,3,5,7}:{(12,1),(32,1),(33,1),(69,1),(72,1)}
        20:{1,4,5,6}:{(9,1),(10,1),(25,1),(115,1),(153,1)}
        21:{2,4,5,6}:{(9,1),(26,1),(34,1),(164,1),(192,1)}
        22:{1,2,5,6}:{(10,1),(11,1),(27,1),(36,1),(72,1)}
        23:{2,3,6}:{(11,1),(12,1),(158,1)}
        24:{2,3,4,7}:{(12,1),(33,1),(37,1),(62,1),(104,1)}
        25:{1,4,5,7}:{(13,1),(14,1),(16,1),(20,1)}
        26:{2,4,5,7}:{(13,1),(17,1),(21,1),(40,1)}
        27:{1,2,5,7}:{(14,1),(15,1),(22,1),(42,1)}
        28:{2,3,6,7}:{(15,1),(23,1),(42,1),(45,1)}
        29:{2,3,6,7}:{(17,1),(40,1),(44,1),(45,1),(178,1)}
        30:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(41,1),(44,1),(45,1),(46,1),(87,1),(133,1)}
        31:{2,3,5,6,7}:{(18,1),(42,1),(45,1),(46,1),(86,1),(88,1)}
        32:{1,2,3,6}:{(19,1),(23,1),(50,1),(92,1)}
        33:{1,2,4,7}:{(19,1),(24,1),(47,1),(50,1)}
        34:{2,3,5,6}:{(21,1),(40,1),(48,1),(52,1),(53,1),(146,1),(178,1)}
        35:{1,2,4,5,6}:{(20,1),(21,1),(22,1),(41,1),(52,1),(53,1),(54,1),(89,1),(95,1),(98,1),(133,1),(138,1)}
        36:{2,3,5,6}:{(22,1),(23,1),(42,1),(53,1),(54,1),(55,1)}
        37:{2,3,4,6}:{(23,1),(24,1),(50,1),(54,1),(55,1),(94,1)}
        38:{2,3,4,5,7}:{(24,1),(51,1),(55,1),(56,1),(85,1),(101,1),(132,1),(142,1),(174,1),(186,1)}
        39:{1,2,3,6,7}:{(28,1),(32,1),(58,1),(59,1),(64,1),(117,1),(158,1),(194,1),(195,1)}
        40:{2,3,5,7}:{(26,1),(29,1),(34,1),(57,1),(60,1),(61,1)}
        41:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(30,1),(35,1),(60,1),(61,1),(62,1),(66,1),(107,1),(111,1)}
        42:{2,3,5,7}:{(27,1),(28,1),(36,1),(61,1),(62,1)}
        43:{2,3,4,6,7}:{(28,1),(37,1),(59,1),(62,1),(63,1),(65,1),(104,1),(109,1),(158,1)}
        44:{1,2,6,7}:{(29,1),(60,1),(64,1),(194,1)}
        45:{3,6,7}:{(30,1),(61,1),(158,1)}
        46:{2,4,6,7}:{(31,1),(62,1),(65,1),(66,1),(109,1)}
        47:{1,3,4,7}:{(33,1),(68,1),(69,1),(104,1),(167,1)}
        48:{2,3,4,6}:{(34,1),(57,1),(67,1),(70,1),(75,1)}
        49:{1,2,3,5,6}:{(32,1),(36,1),(58,1),(71,1),(72,1),(74,1),(106,1),(116,1),(118,1),(121,1),(158,1),(168,1),(169,1),(194,1)}
        50:{1,2,4,6}:{(32,1),(33,1),(37,1),(68,1),(72,1)}
        51:{1,2,4,5,7}:{(33,1),(38,1),(69,1),(72,1),(73,1),(115,1),(123,1),(167,1)}
        52:{1,2,5,6}:{(34,1),(60,1),(70,1),(74,1),(168,1),(194,1)}
        53:{3,5,6}:{(35,1),(61,1),(75,1),(121,1),(158,1)}
        54:{2,4,6}:{(36,1),(62,1),(75,1),(76,1)}
        55:{2,3,5}:{(37,1),(72,1),(76,1),(121,1)}
        56:{2,3,4,6}:{(38,1),(73,1),(77,1),(109,1),(158,1),(166,1),(192,1)}
        57:{2,3,4,7}:{(40,1),(48,1),(80,1),(84,1)}
        58:{1,2,3,5,7}:{(39,1),(42,1),(49,1),(81,1),(82,1),(83,1),(129,1),(132,1),(144,1),(177,1),(188,1)}
        59:{1,2,4,6,7}:{(39,1),(43,1),(50,1),(79,1),(81,1),(82,1),(87,1),(133,1),(204,1)}
        60:{1,2,5,7}:{(40,1),(44,1),(52,1),(80,1),(83,1)}
        61:{3,5,7}:{(41,1),(45,1),(53,1),(84,1)}
        62:{2,4,7}:{(42,1),(54,1),(84,1)}
        63:{2,3,5,7}:{(43,1),(55,1),(82,1),(85,1),(86,1),(88,1),(132,1)}
        64:{1,3,6,7}:{(44,1),(45,1),(83,1),(87,1),(179,1)}
        65:{3,4,6,7}:{(45,1),(46,1),(84,1),(87,1),(88,1),(136,1)}
        66:{2,4,5,7}:{(46,1),(88,1),(89,1)}
        67:{2,3,4,5}:{(48,1),(90,1),(99,1),(146,1),(182,1)}
        68:{1,3,4,6}:{(47,1),(50,1),(91,1),(92,1),(94,1),(143,1)}
        69:{1,3,5,7}:{(47,1),(51,1),(91,1),(92,1),(132,1)}
        70:{1,2,4,6}:{(48,1),(52,1),(80,1),(90,1),(93,1),(98,1)}
        71:{1,2,4,6}:{(49,1),(54,1),(81,1),(94,1),(95,1),(98,1),(143,1),(184,1)}
        72:{1,2,5}:{(50,1),(55,1),(91,1)}
        73:{1,2,4,6}:{(51,1),(56,1),(92,1),(96,1),(143,1)}
        74:{1,3,5,6}:{(52,1),(53,1),(83,1),(93,1),(98,1),(138,1),(147,1),(179,1)}
        75:{3,4,6}:{(53,1),(54,1),(84,1),(98,1),(99,1)}
        76:{2,4,5}:{(54,1),(55,1),(99,1)}
        77:{2,3,5,6}:{(55,1),(56,1),(96,1),(100,1),(101,1),(148,1),(202,1)}
        78:{2,3,4,6,7}:{(56,1),(97,1),(101,1),(137,1),(180,1),(186,1),(204,1)}
        79:{1,3,4,6,7}:{(59,1),(68,1),(102,1),(104,1),(117,1),(153,1),(158,1),(167,1),(193,1)}
        80:{1,2,4,7}:{(57,1),(60,1),(70,1),(103,1),(107,1)}
        81:{1,2,4,7}:{(58,1),(62,1),(71,1),(104,1),(107,1),(167,1),(199,1)}
        82:{1,2,5,7}:{(59,1),(63,1),(72,1),(102,1),(106,1),(111,1),(208,1)}
        83:{1,3,5,7}:{(60,1),(61,1),(64,1),(74,1),(103,1),(107,1),(111,1)}
        84:{3,4,7}:{(61,1),(62,1),(75,1),(107,1)}
        85:{2,4,5,7}:{(62,1),(63,1),(76,1),(108,1),(109,1)}
        86:{2,3,5,6}:{(63,1),(106,1),(109,1),(112,1),(158,1)}
        87:{1,4,6,7}:{(64,1),(65,1),(107,1),(111,1),(160,1)}
        88:{3,5,7}:{(65,1),(66,1),(111,1),(112,1)}
        89:{2,4,5,6}:{(66,1),(109,1),(112,1)}
        90:{1,2,4,5}:{(67,1),(70,1),(114,1),(124,1),(163,1),(168,1)}
        91:{1,3,5}:{(68,1),(72,1),(115,1),(121,1)}
        92:{1,3,6}:{(69,1),(73,1),(158,1)}
        93:{1,3,6}:{(70,1),(103,1),(114,1)}
        94:{3,4,6}:{(71,1),(104,1),(121,1),(158,1)}
        95:{1,2,4,5}:{(71,1),(72,1),(76,1),(115,1),(121,1),(124,1),(164,1),(168,1)}
        96:{1,2,5,6}:{(72,1),(73,1),(77,1),(116,1),(123,1)}
        97:{1,2,4,6,7}:{(73,1),(78,1),(117,1),(123,1),(167,1)}
        98:{1,4,6}:{(74,1),(75,1),(107,1),(124,1)}
        99:{3,4,5}:{(75,1),(76,1),(121,1),(124,1)}
       100:{2,4,5,6}:{(76,1),(77,1),(109,1),(125,1),(126,1)}
       101:{2,3,5,7}:{(77,1),(78,1),(123,1),(126,1),(171,1),(208,1)}
       102:{1,3,5,7}:{(79,1),(82,1),(91,1),(127,1),(128,1),(132,1),(203,1)}
       103:{1,3,7}:{(80,1),(93,1)}
       104:{3,4,7}:{(81,1),(94,1),(132,1)}
       105:{1,2,4,5,7}:{(81,1),(82,1),(85,1),(95,1),(127,1),(132,1),(133,1),(135,1),(174,1),(177,1)}
       106:{1,2,5,6}:{(82,1),(86,1),(128,1),(133,1),(138,1),(202,1)}
       107:{1,4,7}:{(83,1),(84,1),(98,1)}
       108:{3,4,5,7}:{(84,1),(85,1),(88,1),(99,1),(132,1),(135,1),(136,1)}
       109:{2,4,6}:{(85,1),(86,1),(136,1)}
       110:{2,3,5,6,7}:{(86,1),(101,1),(134,1),(137,1),(139,1),(180,1)}
       111:{1,5,7}:{(87,1),(88,1),(138,1)}
       112:{3,5,6}:{(88,1),(89,1),(136,1),(138,1)}
       113:{2,4,5,6,7}:{(89,1),(137,1),(139,1)}
       114:{1,3,5}:{(90,1),(93,1),(141,1)}
       115:{1,4,5}:{(91,1),(142,1),(143,1)}
       116:{1,3,5,6}:{(91,1),(92,1),(96,1),(143,1),(144,1),(148,1)}
       117:{1,3,6,7}:{(92,1),(97,1),(144,1),(180,1)}
       118:{1,2,3,6}:{(93,1),(129,1),(140,1),(145,1),(206,1)}
       119:{2,3,4,6}:{(94,1),(130,1),(145,1),(146,1),(178,1),(182,1),(184,1),(206,1)}
       120:{1,3,4,6}:{(93,1),(94,1),(98,1),(131,1),(141,1),(145,1),(147,1),(179,1)}
       121:{3,5}:{(94,1),(95,1)}
       122:{1,2,4,5,6}:{(95,1),(96,1),(100,1),(133,1),(143,1),(148,1),(149,1),(150,1),(173,1),(184,1),(187,1),(202,1)}
       123:{1,2,5,7}:{(96,1),(97,1),(101,1),(144,1)}
       124:{1,4,5}:{(98,1),(99,1),(147,1)}
       125:{3,4,5,6}:{(99,1),(100,1),(136,1),(148,1),(150,1),(151,1)}
       126:{2,4,5,7}:{(100,1),(101,1),(137,1),(151,1)}
       127:{1,4,5,7}:{(102,1),(115,1),(152,1),(153,1),(167,1)}
       128:{1,3,5,6}:{(102,1),(106,1),(153,1),(158,1),(190,1)}
       129:{1,2,3,7}:{(103,1),(118,1),(155,1),(209,1)}
       130:{2,3,4,7}:{(104,1),(119,1),(155,1),(156,1),(199,1),(209,1)}
       131:{1,3,4,7}:{(103,1),(104,1),(107,1),(120,1),(155,1),(157,1)}
       132:{3,5,7}:{(104,1),(105,1),(121,1),(158,1)}
       133:{1,2,4,6}:{(105,1),(106,1),(109,1),(153,1),(158,1),(160,1),(192,1),(194,1)}
       134:{1,2,5,6,7}:{(106,1),(110,1),(123,1),(154,1),(159,1),(162,1),(208,1)}
       135:{1,4,5,7}:{(107,1),(108,1),(111,1),(124,1),(157,1),(160,1)}
       136:{3,4,6}:{(108,1),(109,1),(112,1),(158,1),(160,1)}
       137:{2,4,6,7}:{(109,1),(110,1),(126,1),(161,1)}
       138:{1,5,6}:{(111,1),(112,1),(160,1)}
       139:{3,5,6,7}:{(112,1),(113,1),(161,1),(162,1)}
       140:{1,2,3,5}:{(114,1),(118,1),(163,1),(168,1),(197,1)}
       141:{1,3,4}:{(114,1),(163,1)}
       142:{3,4,5}:{(115,1),(121,1),(164,1),(166,1)}
       143:{1,4,6}:{(115,1),(116,1),(166,1),(167,1)}
       144:{1,3,5,7}:{(116,1),(117,1),(123,1),(167,1),(171,1)}
       145:{1,2,4,6}:{(118,1),(119,1),(120,1),(155,1),(163,1),(168,1),(194,1)}
       146:{2,3,5}:{(119,1),(121,1),(164,1),(168,1)}
       147:{1,3,5}:{(120,1),(121,1),(124,1),(168,1)}
       148:{3,5,6}:{(121,1),(122,1),(158,1),(166,1),(171,1)}
       149:{1,2,4,5,7}:{(122,1),(123,1),(126,1),(159,1),(167,1),(171,1),(172,1),(191,1),(199,1),(201,1),(208,1)}
       150:{1,4,5,6}:{(124,1),(125,1),(160,1),(170,1),(172,1)}
       151:{3,4,5,7}:{(125,1),(126,1),(161,1),(171,1),(172,1)}
       152:{3,4,5,7}:{(127,1),(132,1),(142,1),(174,1),(175,1),(186,1),(203,1)}
       153:{1,4,6}:{(127,1),(128,1),(175,1)}
       154:{1,3,5,6,7}:{(128,1),(134,1),(144,1),(176,1),(180,1),(203,1)}
       155:{1,2,4,7}:{(129,1),(130,1),(131,1),(145,1),(177,1)}
       156:{2,3,5,7}:{(130,1),(132,1),(146,1),(174,1),(177,1),(178,1)}
       157:{1,3,5,7}:{(131,1),(132,1),(135,1),(147,1),(177,1),(179,1)}
       158:{3,6}:{(132,1),(133,1)}
       159:{1,2,4,6,7}:{(133,1),(134,1),(137,1),(149,1),(176,1),(180,1),(181,1),(204,1),(205,1)}
       160:{1,4,6}:{(135,1),(136,1),(138,1),(179,1)}
       161:{3,4,6,7}:{(136,1),(137,1),(139,1),(151,1),(180,1),(181,1)}
       162:{1,5,6,7}:{(138,1),(139,1),(181,1)}
       163:{1,2,4}:{(140,1),(141,1),(182,1)}
       164:{2,4,5}:{(142,1),(146,1),(184,1)}
       165:{1,3,4,5}:{(141,1),(142,1),(147,1),(183,1),(185,1)}
       166:{3,4,6}:{(142,1),(143,1),(148,1),(184,1),(186,1)}
       167:{1,4,7}:{(143,1),(144,1),(186,1)}
       168:{1,2,5}:{(145,1),(146,1),(147,1)}
       169:{2,3,5,6}:{(146,1),(148,1),(178,1),(184,1),(187,1),(188,1),(202,1),(206,1)}
       170:{1,3,5,6}:{(147,1),(148,1),(150,1),(179,1),(185,1),(187,1),(189,1)}
       171:{3,5,7}:{(148,1),(149,1),(180,1),(186,1)}
       172:{1,4,5,7}:{(150,1),(151,1),(181,1),(189,1)}
       173:{1,4,5,6}:{(153,1),(190,1),(191,1)}
       174:{2,4,5,7}:{(152,1),(156,1),(164,1),(192,1),(199,1),(208,1)}
       175:{3,4,6}:{(152,1),(153,1),(158,1),(190,1),(192,1)}
       176:{1,4,6,7}:{(153,1),(154,1),(167,1),(191,1),(193,1)}
       177:{1,2,5,7}:{(155,1),(156,1),(157,1),(168,1),(194,1)}
       178:{2,3,6}:{(156,1),(158,1),(192,1),(194,1)}
       179:{1,3,6}:{(157,1),(158,1),(160,1),(194,1)}
       180:{3,6,7}:{(158,1),(159,1),(171,1)}
       181:{1,4,6,7}:{(160,1),(161,1),(162,1),(172,1),(196,1)}
       182:{2,3,4}:{(163,1),(197,1)}
       183:{1,2,4,5}:{(163,1),(164,1),(165,1),(168,1),(197,1),(198,1)}
       184:{2,4,6}:{(164,1),(166,1),(169,1),(199,1)}
       185:{1,3,4,6}:{(165,1),(166,1),(170,1),(198,1),(200,1)}
       186:{3,4,7}:{(166,1),(167,1),(171,1),(199,1)}
       187:{1,2,5,6}:{(168,1),(169,1),(170,1),(194,1),(198,1),(201,1)}
       188:{2,3,5,7}:{(169,1),(171,1),(195,1),(199,1),(201,1),(208,1),(209,1)}
       189:{1,3,5,7}:{(170,1),(171,1),(172,1),(196,1),(200,1),(201,1)}
       190:{3,5,6}:{(173,1),(175,1),(202,1),(203,1)}
       191:{1,4,5,7}:{(173,1),(176,1),(203,1)}
       192:{2,4,6}:{(174,1),(175,1),(178,1),(202,1)}
       193:{3,4,6,7}:{(175,1),(176,1),(180,1),(186,1),(203,1),(204,1)}
       194:{1,2,6}:{(177,1),(178,1),(179,1)}
       195:{2,3,6,7}:{(178,1),(180,1),(188,1),(204,1),(205,1)}
       196:{1,3,6,7}:{(179,1),(180,1),(181,1),(189,1),(205,1)}
       197:{2,3,5}:{(182,1),(183,1),(206,1)}
       198:{1,2,4,6}:{(183,1),(184,1),(185,1),(187,1),(206,1),(207,1)}
       199:{2,4,7}:{(184,1),(186,1),(188,1)}
       200:{1,3,4,7}:{(185,1),(186,1),(189,1),(207,1)}
       201:{1,2,5,7}:{(187,1),(188,1),(189,1),(205,1),(207,1)}
       202:{2,5,6}:{(190,1),(192,1),(208,1)}
       203:{3,5,7}:{(190,1),(191,1),(193,1),(208,1)}
       204:{2,4,6,7}:{(192,1),(193,1),(195,1),(199,1),(208,1)}
       205:{1,2,6,7}:{(194,1),(195,1),(196,1),(201,1)}
       206:{2,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,2,4,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       208:{2,5,7}:{(202,1),(203,1),(204,1)}
       209:{2,3,7}:{(206,1),(207,1)}

1649 :   0:{2,4,5,6,7}:{(2,1),(17,1),(173,1)}
         1:{2,3,4,5,7}:{(3,1),(4,1),(14,1),(47,1),(84,1),(91,1),(99,1),(127,1),(132,1),(135,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(7,1),(190,1)}
         3:{2,3,4,6}:{(1,1),(10,1),(11,1),(75,1),(153,1),(158,1),(160,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(27,1),(33,1),(62,1),(72,1),(76,1)}
         5:{2,3,4,6,7}:{(3,1),(14,1),(15,1),(17,1),(45,1),(84,1),(87,1)}
         6:{3,4,6,7}:{(2,1),(13,1),(16,1),(17,1),(45,1),(175,1)}
         7:{1,5,6,7}:{(2,1),(16,1),(202,1)}
         8:{2,3,5,6,7}:{(2,1),(14,1),(17,1),(18,1),(45,1),(128,1)}
         9:{3,4,5,6}:{(13,1),(20,1),(21,1),(53,1),(142,1),(175,1)}
        10:{2,3,5,6}:{(3,1),(14,1),(21,1),(22,1),(53,1),(91,1),(138,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(22,1),(23,1),(54,1)}
        12:{1,3,5,7}:{(4,1),(23,1),(24,1),(55,1),(132,1)}
        13:{3,4,5,7}:{(6,1),(9,1),(25,1),(26,1),(61,1)}
        14:{2,3,5,7}:{(5,1),(10,1),(26,1),(27,1),(61,1),(111,1)}
        15:{1,2,4,6,7}:{(5,1),(11,1),(27,1),(28,1),(62,1)}
        16:{1,4,6,7}:{(6,1),(7,1),(25,1),(29,1),(192,1)}
        17:{2,4,6,7}:{(6,1),(8,1),(26,1),(153,1)}
        18:{1,2,5,6,7}:{(7,1),(8,1),(27,1),(30,1),(31,1),(106,1),(111,1)}
        19:{1,2,3,5,7}:{(12,1),(32,1),(33,1),(69,1),(72,1)}
        20:{1,4,5,6}:{(9,1),(25,1),(34,1),(165,1),(192,1)}
        21:{2,4,5,6}:{(9,1),(10,1),(26,1),(115,1),(153,1)}
        22:{1,2,5,6}:{(10,1),(11,1),(27,1),(36,1),(72,1)}
        23:{1,3,6}:{(11,1),(12,1),(158,1)}
        24:{1,3,4,7}:{(12,1),(33,1),(37,1),(62,1),(104,1)}
        25:{1,4,5,7}:{(13,1),(16,1),(20,1),(40,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(17,1),(21,1)}
        27:{1,2,5,7}:{(14,1),(15,1),(22,1),(42,1)}
        28:{1,3,6,7}:{(15,1),(23,1),(42,1),(45,1)}
        29:{1,3,6,7}:{(16,1),(40,1),(44,1),(45,1),(179,1)}
        30:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(41,1),(44,1),(45,1),(46,1),(87,1),(133,1)}
        31:{1,3,5,6,7}:{(18,1),(42,1),(45,1),(46,1),(86,1),(88,1)}
        32:{1,2,3,6}:{(19,1),(23,1),(50,1),(92,1)}
        33:{1,2,4,7}:{(19,1),(24,1),(47,1),(50,1)}
        34:{1,3,5,6}:{(20,1),(40,1),(48,1),(52,1),(53,1),(147,1),(179,1)}
        35:{1,2,4,5,6}:{(20,1),(21,1),(22,1),(41,1),(52,1),(53,1),(54,1),(89,1),(95,1),(98,1),(133,1),(138,1)}
        36:{1,3,5,6}:{(22,1),(23,1),(42,1),(53,1),(54,1),(55,1)}
        37:{1,3,4,6}:{(23,1),(24,1),(50,1),(54,1),(55,1),(94,1)}
        38:{1,3,4,5,7}:{(24,1),(51,1),(55,1),(56,1),(85,1),(101,1),(132,1),(142,1),(174,1),(186,1)}
        39:{1,2,3,6,7}:{(28,1),(32,1),(58,1),(59,1),(64,1),(117,1),(158,1),(194,1),(196,1)}
        40:{1,3,5,7}:{(25,1),(29,1),(34,1),(57,1),(60,1),(61,1)}
        41:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(30,1),(35,1),(60,1),(61,1),(62,1),(66,1),(107,1),(111,1)}
        42:{1,3,5,7}:{(27,1),(28,1),(36,1),(61,1),(62,1)}
        43:{1,3,4,6,7}:{(28,1),(37,1),(59,1),(62,1),(63,1),(65,1),(104,1),(109,1),(158,1)}
        44:{1,2,6,7}:{(29,1),(60,1),(64,1),(194,1)}
        45:{3,6,7}:{(30,1),(61,1),(158,1)}
        46:{1,4,6,7}:{(31,1),(62,1),(65,1),(66,1),(109,1)}
        47:{2,3,4,7}:{(33,1),(68,1),(69,1),(104,1),(167,1)}
        48:{1,3,4,6}:{(34,1),(57,1),(67,1),(70,1),(75,1)}
        49:{1,2,3,5,6}:{(32,1),(36,1),(58,1),(71,1),(72,1),(74,1),(106,1),(116,1),(118,1),(121,1),(158,1),(168,1),(170,1),(194,1)}
        50:{1,2,4,6}:{(32,1),(33,1),(37,1),(68,1),(72,1)}
        51:{1,2,4,5,7}:{(33,1),(38,1),(69,1),(72,1),(73,1),(115,1),(123,1),(167,1)}
        52:{1,2,5,6}:{(34,1),(60,1),(70,1),(74,1),(168,1),(194,1)}
        53:{3,5,6}:{(35,1),(61,1),(75,1),(121,1),(158,1)}
        54:{1,4,6}:{(36,1),(62,1),(75,1),(76,1)}
        55:{1,3,5}:{(37,1),(72,1),(76,1),(121,1)}
        56:{1,3,4,6}:{(38,1),(73,1),(77,1),(109,1),(158,1),(166,1),(192,1)}
        57:{1,3,4,7}:{(40,1),(48,1),(80,1),(84,1)}
        58:{1,2,3,5,7}:{(39,1),(42,1),(49,1),(81,1),(82,1),(83,1),(129,1),(132,1),(144,1),(177,1),(189,1)}
        59:{1,2,4,6,7}:{(39,1),(43,1),(50,1),(79,1),(81,1),(82,1),(87,1),(133,1),(204,1)}
        60:{1,2,5,7}:{(40,1),(44,1),(52,1),(80,1),(83,1)}
        61:{3,5,7}:{(41,1),(45,1),(53,1),(84,1)}
        62:{1,4,7}:{(42,1),(54,1),(84,1)}
        63:{1,3,5,7}:{(43,1),(55,1),(82,1),(85,1),(86,1),(88,1),(132,1)}
        64:{2,3,6,7}:{(44,1),(45,1),(83,1),(87,1),(178,1)}
        65:{3,4,6,7}:{(45,1),(46,1),(84,1),(87,1),(88,1),(136,1)}
        66:{1,4,5,7}:{(46,1),(88,1),(89,1)}
        67:{1,3,4,5}:{(48,1),(90,1),(99,1),(147,1),(182,1)}
        68:{2,3,4,6}:{(47,1),(50,1),(91,1),(92,1),(94,1),(143,1)}
        69:{2,3,5,7}:{(47,1),(51,1),(91,1),(92,1),(132,1)}
        70:{1,2,4,6}:{(48,1),(52,1),(80,1),(90,1),(93,1),(98,1)}
        71:{1,2,4,6}:{(49,1),(54,1),(81,1),(94,1),(95,1),(98,1),(143,1),(185,1)}
        72:{1,2,5}:{(50,1),(55,1),(91,1)}
        73:{1,2,4,6}:{(51,1),(56,1),(92,1),(96,1),(143,1)}
        74:{2,3,5,6}:{(52,1),(53,1),(83,1),(93,1),(98,1),(138,1),(146,1),(178,1)}
        75:{3,4,6}:{(53,1),(54,1),(84,1),(98,1),(99,1)}
        76:{1,4,5}:{(54,1),(55,1),(99,1)}
        77:{1,3,5,6}:{(55,1),(56,1),(96,1),(100,1),(101,1),(148,1),(202,1)}
        78:{1,3,4,6,7}:{(56,1),(97,1),(101,1),(137,1),(180,1),(186,1),(204,1)}
        79:{2,3,4,6,7}:{(59,1),(68,1),(102,1),(104,1),(117,1),(153,1),(158,1),(167,1),(193,1)}
        80:{1,2,4,7}:{(57,1),(60,1),(70,1),(103,1),(107,1)}
        81:{1,2,4,7}:{(58,1),(62,1),(71,1),(104,1),(107,1),(167,1),(200,1)}
        82:{1,2,5,7}:{(59,1),(63,1),(72,1),(102,1),(106,1),(111,1),(208,1)}
        83:{2,3,5,7}:{(60,1),(61,1),(64,1),(74,1),(103,1),(107,1),(111,1)}
        84:{3,4,7}:{(61,1),(62,1),(75,1),(107,1)}
        85:{1,4,5,7}:{(62,1),(63,1),(76,1),(108,1),(109,1)}
        86:{1,3,5,6}:{(63,1),(106,1),(109,1),(112,1),(158,1)}
        87:{2,4,6,7}:{(64,1),(65,1),(107,1),(111,1),(160,1)}
        88:{3,5,7}:{(65,1),(66,1),(111,1),(112,1)}
        89:{1,4,5,6}:{(66,1),(109,1),(112,1)}
        90:{1,2,4,5}:{(67,1),(70,1),(114,1),(124,1),(163,1),(168,1)}
        91:{2,3,5}:{(68,1),(72,1),(115,1),(121,1)}
        92:{2,3,6}:{(69,1),(73,1),(158,1)}
        93:{2,3,6}:{(70,1),(103,1),(114,1)}
        94:{3,4,6}:{(71,1),(104,1),(121,1),(158,1)}
        95:{1,2,4,5}:{(71,1),(72,1),(76,1),(115,1),(121,1),(124,1),(165,1),(168,1)}
        96:{1,2,5,6}:{(72,1),(73,1),(77,1),(116,1),(123,1)}
        97:{1,2,4,6,7}:{(73,1),(78,1),(117,1),(123,1),(167,1)}
        98:{2,4,6}:{(74,1),(75,1),(107,1),(124,1)}
        99:{3,4,5}:{(75,1),(76,1),(121,1),(124,1)}
       100:{1,4,5,6}:{(76,1),(77,1),(109,1),(125,1),(126,1)}
       101:{1,3,5,7}:{(77,1),(78,1),(123,1),(126,1),(171,1),(208,1)}
       102:{2,3,5,7}:{(79,1),(82,1),(91,1),(127,1),(128,1),(132,1),(203,1)}
       103:{2,3,7}:{(80,1),(93,1)}
       104:{3,4,7}:{(81,1),(94,1),(132,1)}
       105:{1,2,4,5,7}:{(81,1),(82,1),(85,1),(95,1),(127,1),(132,1),(133,1),(135,1),(174,1),(177,1)}
       106:{1,2,5,6}:{(82,1),(86,1),(128,1),(133,1),(138,1),(202,1)}
       107:{2,4,7}:{(83,1),(84,1),(98,1)}
       108:{3,4,5,7}:{(84,1),(85,1),(88,1),(99,1),(132,1),(135,1),(136,1)}
       109:{1,4,6}:{(85,1),(86,1),(136,1)}
       110:{1,3,5,6,7}:{(86,1),(101,1),(134,1),(137,1),(139,1),(180,1)}
       111:{2,5,7}:{(87,1),(88,1),(138,1)}
       112:{3,5,6}:{(88,1),(89,1),(136,1),(138,1)}
       113:{1,4,5,6,7}:{(89,1),(137,1),(139,1)}
       114:{2,3,5}:{(90,1),(93,1),(141,1)}
       115:{2,4,5}:{(91,1),(142,1),(143,1)}
       116:{2,3,5,6}:{(91,1),(92,1),(96,1),(143,1),(144,1),(148,1)}
       117:{2,3,6,7}:{(92,1),(97,1),(144,1),(180,1)}
       118:{1,2,3,6}:{(93,1),(129,1),(140,1),(145,1),(206,1)}
       119:{2,3,4,6}:{(93,1),(94,1),(98,1),(130,1),(141,1),(145,1),(146,1),(178,1)}
       120:{1,3,4,6}:{(94,1),(131,1),(145,1),(147,1),(179,1),(182,1),(185,1),(206,1)}
       121:{3,5}:{(94,1),(95,1)}
       122:{1,2,4,5,6}:{(95,1),(96,1),(100,1),(133,1),(143,1),(148,1),(149,1),(150,1),(173,1),(185,1),(187,1),(202,1)}
       123:{1,2,5,7}:{(96,1),(97,1),(101,1),(144,1)}
       124:{2,4,5}:{(98,1),(99,1),(146,1)}
       125:{3,4,5,6}:{(99,1),(100,1),(136,1),(148,1),(150,1),(151,1)}
       126:{1,4,5,7}:{(100,1),(101,1),(137,1),(151,1)}
       127:{2,4,5,7}:{(102,1),(115,1),(152,1),(153,1),(167,1)}
       128:{2,3,5,6}:{(102,1),(106,1),(153,1),(158,1),(190,1)}
       129:{1,2,3,7}:{(103,1),(118,1),(155,1),(209,1)}
       130:{2,3,4,7}:{(103,1),(104,1),(107,1),(119,1),(155,1),(156,1)}
       131:{1,3,4,7}:{(104,1),(120,1),(155,1),(157,1),(200,1),(209,1)}
       132:{3,5,7}:{(104,1),(105,1),(121,1),(158,1)}
       133:{1,2,4,6}:{(105,1),(106,1),(109,1),(153,1),(158,1),(160,1),(192,1),(194,1)}
       134:{1,2,5,6,7}:{(106,1),(110,1),(123,1),(154,1),(159,1),(162,1),(208,1)}
       135:{2,4,5,7}:{(107,1),(108,1),(111,1),(124,1),(156,1),(160,1)}
       136:{3,4,6}:{(108,1),(109,1),(112,1),(158,1),(160,1)}
       137:{1,4,6,7}:{(109,1),(110,1),(126,1),(161,1)}
       138:{2,5,6}:{(111,1),(112,1),(160,1)}
       139:{3,5,6,7}:{(112,1),(113,1),(161,1),(162,1)}
       140:{1,2,3,5}:{(114,1),(118,1),(163,1),(168,1),(197,1)}
       141:{2,3,4}:{(114,1),(163,1)}
       142:{3,4,5}:{(115,1),(121,1),(165,1),(166,1)}
       143:{2,4,6}:{(115,1),(116,1),(166,1),(167,1)}
       144:{2,3,5,7}:{(116,1),(117,1),(123,1),(167,1),(171,1)}
       145:{1,2,4,6}:{(118,1),(119,1),(120,1),(155,1),(163,1),(168,1),(194,1)}
       146:{2,3,5}:{(119,1),(121,1),(124,1),(168,1)}
       147:{1,3,5}:{(120,1),(121,1),(165,1),(168,1)}
       148:{3,5,6}:{(121,1),(122,1),(158,1),(166,1),(171,1)}
       149:{1,2,4,5,7}:{(122,1),(123,1),(126,1),(159,1),(167,1),(171,1),(172,1),(191,1),(200,1),(201,1),(208,1)}
       150:{2,4,5,6}:{(124,1),(125,1),(160,1),(169,1),(172,1)}
       151:{3,4,5,7}:{(125,1),(126,1),(161,1),(171,1),(172,1)}
       152:{3,4,5,7}:{(127,1),(132,1),(142,1),(174,1),(175,1),(186,1),(203,1)}
       153:{2,4,6}:{(127,1),(128,1),(175,1)}
       154:{2,3,5,6,7}:{(128,1),(134,1),(144,1),(176,1),(180,1),(203,1)}
       155:{1,2,4,7}:{(129,1),(130,1),(131,1),(145,1),(177,1)}
       156:{2,3,5,7}:{(130,1),(132,1),(135,1),(146,1),(177,1),(178,1)}
       157:{1,3,5,7}:{(131,1),(132,1),(147,1),(174,1),(177,1),(179,1)}
       158:{3,6}:{(132,1),(133,1)}
       159:{1,2,4,6,7}:{(133,1),(134,1),(137,1),(149,1),(176,1),(180,1),(181,1),(204,1),(205,1)}
       160:{2,4,6}:{(135,1),(136,1),(138,1),(178,1)}
       161:{3,4,6,7}:{(136,1),(137,1),(139,1),(151,1),(180,1),(181,1)}
       162:{2,5,6,7}:{(138,1),(139,1),(181,1)}
       163:{1,2,4}:{(140,1),(141,1),(182,1)}
       164:{2,3,4,5}:{(141,1),(142,1),(146,1),(183,1),(184,1)}
       165:{1,4,5}:{(142,1),(147,1),(185,1)}
       166:{3,4,6}:{(142,1),(143,1),(148,1),(185,1),(186,1)}
       167:{2,4,7}:{(143,1),(144,1),(186,1)}
       168:{1,2,5}:{(145,1),(146,1),(147,1)}
       169:{2,3,5,6}:{(146,1),(148,1),(150,1),(178,1),(184,1),(187,1),(188,1)}
       170:{1,3,5,6}:{(147,1),(148,1),(179,1),(185,1),(187,1),(189,1),(202,1),(206,1)}
       171:{3,5,7}:{(148,1),(149,1),(180,1),(186,1)}
       172:{2,4,5,7}:{(150,1),(151,1),(181,1),(188,1)}
       173:{2,4,5,6}:{(153,1),(190,1),(191,1)}
       174:{1,4,5,7}:{(152,1),(157,1),(165,1),(192,1),(200,1),(208,1)}
       175:{3,4,6}:{(152,1),(153,1),(158,1),(190,1),(192,1)}
       176:{2,4,6,7}:{(153,1),(154,1),(167,1),(191,1),(193,1)}
       177:{1,2,5,7}:{(155,1),(156,1),(157,1),(168,1),(194,1)}
       178:{2,3,6}:{(156,1),(158,1),(160,1),(194,1)}
       179:{1,3,6}:{(157,1),(158,1),(192,1),(194,1)}
       180:{3,6,7}:{(158,1),(159,1),(171,1)}
       181:{2,4,6,7}:{(160,1),(161,1),(162,1),(172,1),(195,1)}
       182:{1,3,4}:{(163,1),(197,1)}
       183:{1,2,4,5}:{(163,1),(164,1),(165,1),(168,1),(197,1),(198,1)}
       184:{2,3,4,6}:{(164,1),(166,1),(169,1),(198,1),(199,1)}
       185:{1,4,6}:{(165,1),(166,1),(170,1),(200,1)}
       186:{3,4,7}:{(166,1),(167,1),(171,1),(200,1)}
       187:{1,2,5,6}:{(168,1),(169,1),(170,1),(194,1),(198,1),(201,1)}
       188:{2,3,5,7}:{(169,1),(171,1),(172,1),(195,1),(199,1),(201,1)}
       189:{1,3,5,7}:{(170,1),(171,1),(196,1),(200,1),(201,1),(208,1),(209,1)}
       190:{3,5,6}:{(173,1),(175,1),(202,1),(203,1)}
       191:{2,4,5,7}:{(173,1),(176,1),(203,1)}
       192:{1,4,6}:{(174,1),(175,1),(179,1),(202,1)}
       193:{3,4,6,7}:{(175,1),(176,1),(180,1),(186,1),(203,1),(204,1)}
       194:{1,2,6}:{(177,1),(178,1),(179,1)}
       195:{2,3,6,7}:{(178,1),(180,1),(181,1),(188,1),(205,1)}
       196:{1,3,6,7}:{(179,1),(180,1),(189,1),(204,1),(205,1)}
       197:{1,3,5}:{(182,1),(183,1),(206,1)}
       198:{1,2,4,6}:{(183,1),(184,1),(185,1),(187,1),(206,1),(207,1)}
       199:{2,3,4,7}:{(184,1),(186,1),(188,1),(207,1)}
       200:{1,4,7}:{(185,1),(186,1),(189,1)}
       201:{1,2,5,7}:{(187,1),(188,1),(189,1),(205,1),(207,1)}
       202:{1,5,6}:{(190,1),(192,1),(208,1)}
       203:{3,5,7}:{(190,1),(191,1),(193,1),(208,1)}
       204:{1,4,6,7}:{(192,1),(193,1),(196,1),(200,1),(208,1)}
       205:{1,2,6,7}:{(194,1),(195,1),(196,1),(201,1)}
       206:{1,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,2,4,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       208:{1,5,7}:{(202,1),(203,1),(204,1)}
       209:{1,3,7}:{(206,1),(207,1)}

1650 :   0:{1,2,3,5,6}:{(2,1),(3,1),(11,1),(12,1),(15,1),(50,1),(53,1),(54,1),(55,1),(88,1)}
         1:{1,2,4,5,6}:{(4,1),(5,1),(6,1),(22,1),(23,1),(25,1),(33,1),(93,1),(94,1),(95,1)}
         2:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(22,1),(23,1)}
         3:{1,2,3,5,7}:{(0,1),(8,1),(9,1),(26,1),(27,1),(32,1),(38,1),(70,1),(74,1)}
         4:{3,5,6}:{(1,1),(10,1),(13,1),(15,1),(53,1)}
         5:{1,2,4,5,7}:{(1,1),(13,1),(14,1),(43,1),(44,1),(46,1),(83,1),(84,1),(85,1)}
         6:{1,2,4,5}:{(2,1),(15,1),(39,1),(40,1),(50,1)}
         7:{3,4,6}:{(2,1),(15,1),(19,1),(53,1)}
         8:{1,2,4,7}:{(2,1),(3,1),(19,1),(43,1),(44,1)}
         9:{1,2,3,6,7}:{(3,1),(20,1),(47,1),(48,1),(53,1),(88,1)}
        10:{3,4,6}:{(4,1),(21,1),(22,1),(23,1),(24,1),(62,1)}
        11:{1,3,5,6}:{(4,1),(22,1),(25,1),(26,1),(30,1),(62,1),(71,1),(93,1),(106,1)}
        12:{2,3,5,6}:{(4,1),(23,1),(25,1),(27,1),(31,1),(62,1),(72,1),(94,1),(106,1)}
        13:{3,5,7}:{(4,1),(5,1),(24,1),(28,1)}
        14:{1,2,4,6,7}:{(5,1),(28,1),(29,1),(33,1),(64,1),(65,1),(67,1),(68,1)}
        15:{3,5}:{(6,1),(7,1)}
        16:{1,2,4,5,7}:{(6,1),(8,1),(32,1),(33,1),(38,1),(59,1),(60,1),(70,1),(75,1)}
        17:{1,3,4,6}:{(7,1),(22,1),(30,1),(34,1),(35,1),(62,1),(71,1),(90,1),(105,1)}
        18:{2,3,4,6}:{(7,1),(23,1),(31,1),(34,1),(36,1),(62,1),(72,1),(90,1),(105,1)}
        19:{3,4,7}:{(7,1),(8,1),(32,1)}
        20:{1,2,4,6,7}:{(8,1),(9,1),(33,1),(37,1),(38,1),(64,1),(65,1)}
        21:{3,4,5}:{(10,1),(15,1),(39,1),(40,1),(76,1)}
        22:{1,4,6}:{(10,1),(11,1),(39,1),(43,1),(110,1)}
        23:{2,4,6}:{(10,1),(12,1),(40,1),(44,1),(110,1)}
        24:{3,4,7}:{(10,1),(13,1),(43,1),(44,1),(81,1)}
        25:{1,2,5,6}:{(11,1),(12,1),(42,1),(46,1),(50,1),(88,1)}
        26:{1,3,5,7}:{(11,1),(13,1),(43,1),(46,1),(47,1),(81,1),(83,1),(103,1)}
        27:{2,3,5,7}:{(12,1),(13,1),(44,1),(46,1),(48,1),(81,1),(84,1),(103,1)}
        28:{3,6,7}:{(13,1),(14,1),(53,1)}
        29:{1,2,5,6,7}:{(14,1),(49,1),(54,1),(83,1),(84,1)}
        30:{1,3,5}:{(15,1),(17,1),(39,1),(50,1),(76,1),(109,1)}
        31:{2,3,5}:{(15,1),(18,1),(40,1),(50,1),(76,1),(109,1)}
        32:{3,5,7}:{(15,1),(16,1),(19,1),(53,1)}
        33:{1,2,4,6}:{(16,1),(53,1),(54,1),(78,1),(79,1),(88,1),(89,1)}
        34:{1,2,4,6}:{(17,1),(18,1),(50,1),(55,1),(56,1),(86,1),(88,1)}
        35:{1,3,4,7}:{(17,1),(19,1),(43,1),(51,1),(56,1),(81,1),(100,1)}
        36:{2,3,4,7}:{(18,1),(19,1),(44,1),(52,1),(56,1),(81,1),(100,1)}
        37:{3,4,6,7}:{(19,1),(20,1),(53,1),(57,1),(89,1)}
        38:{1,2,5,7}:{(20,1),(54,1),(57,1),(83,1),(84,1)}
        39:{1,4,5}:{(21,1),(22,1),(30,1),(111,1)}
        40:{2,4,5}:{(21,1),(23,1),(31,1),(111,1)}
        41:{3,4,5,7}:{(21,1),(24,1),(32,1),(59,1),(60,1),(61,1),(66,1),(75,1),(91,1),(107,1),(111,1)}
        42:{1,2,4,6}:{(22,1),(23,1),(25,1),(58,1),(62,1),(63,1)}
        43:{1,4,7}:{(22,1),(24,1),(26,1),(107,1)}
        44:{2,4,7}:{(23,1),(24,1),(27,1),(107,1)}
        45:{3,4,6,7}:{(24,1),(28,1),(61,1),(64,1),(65,1),(66,1),(68,1),(96,1),(107,1)}
        46:{1,2,5,7}:{(25,1),(26,1),(27,1),(63,1),(67,1)}
        47:{1,3,6,7}:{(26,1),(28,1),(64,1),(67,1),(71,1),(96,1)}
        48:{2,3,6,7}:{(27,1),(28,1),(65,1),(67,1),(72,1),(96,1)}
        49:{3,5,6,7}:{(28,1),(29,1),(66,1),(68,1),(73,1)}
        50:{1,2,5}:{(30,1),(31,1),(34,1)}
        51:{1,3,5,7}:{(30,1),(32,1),(35,1),(59,1),(70,1),(71,1),(91,1)}
        52:{2,3,5,7}:{(31,1),(32,1),(36,1),(60,1),(70,1),(72,1),(91,1)}
        53:{3,6}:{(32,1),(33,1)}
        54:{1,2,5,6}:{(33,1),(38,1),(73,1),(93,1),(94,1)}
        55:{1,2,3,6}:{(34,1),(62,1),(69,1),(74,1)}
        56:{1,2,4,7}:{(34,1),(35,1),(36,1),(70,1),(74,1)}
        57:{3,5,7}:{(37,1),(38,1),(73,1),(75,1)}
        58:{1,2,4,5}:{(39,1),(40,1),(42,1),(50,1),(76,1),(86,1)}
        59:{1,4,5,7}:{(39,1),(41,1),(43,1),(51,1),(78,1),(83,1)}
        60:{2,4,5,7}:{(40,1),(41,1),(44,1),(52,1),(79,1),(84,1)}
        61:{3,4,6}:{(41,1),(53,1),(78,1),(79,1),(80,1),(89,1),(101,1),(110,1)}
        62:{3,6}:{(42,1),(76,1),(81,1)}
        63:{1,2,4,7}:{(42,1),(43,1),(44,1),(46,1),(81,1)}
        64:{1,4,6,7}:{(43,1),(45,1),(47,1),(78,1),(83,1)}
        65:{2,4,6,7}:{(44,1),(45,1),(48,1),(79,1),(84,1)}
        66:{3,5,7}:{(45,1),(80,1),(83,1),(84,1),(85,1)}
        67:{1,2,6,7}:{(46,1),(47,1),(48,1),(88,1)}
        68:{4,6,7}:{(49,1),(85,1),(89,1)}
        69:{1,2,3,5}:{(50,1),(55,1),(76,1),(86,1)}
        70:{1,2,5,7}:{(50,1),(51,1),(52,1),(56,1),(88,1)}
        71:{1,3,6}:{(51,1),(53,1),(78,1),(88,1),(101,1)}
        72:{2,3,6}:{(52,1),(53,1),(79,1),(88,1),(101,1)}
        73:{3,5,6}:{(53,1),(54,1),(57,1),(89,1)}
        74:{1,2,3,7}:{(55,1),(56,1),(81,1)}
        75:{4,5,7}:{(57,1),(89,1)}
        76:{3,5}:{(58,1),(62,1),(90,1)}
        77:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(63,1),(70,1),(91,1),(92,1),(97,1),(98,1),(107,1),(108,1),(111,1)}
        78:{1,4,6}:{(59,1),(61,1),(71,1),(93,1)}
        79:{2,4,6}:{(60,1),(61,1),(72,1),(94,1)}
        80:{3,5,6}:{(61,1),(66,1),(93,1),(94,1),(95,1)}
        81:{3,7}:{(62,1),(63,1)}
        82:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(67,1),(92,1),(96,1),(97,1),(107,1)}
        83:{1,5,7}:{(64,1),(66,1),(93,1)}
        84:{2,5,7}:{(65,1),(66,1),(94,1)}
        85:{4,5,7}:{(66,1),(68,1),(95,1),(107,1)}
        86:{1,2,4}:{(69,1),(90,1)}
        87:{1,2,3,5,7}:{(69,1),(70,1),(74,1),(91,1),(98,1),(99,1),(108,1)}
        88:{1,2,6}:{(70,1),(71,1),(72,1)}
        89:{4,6}:{(73,1),(75,1)}
        90:{3,4}:{(76,1),(86,1)}
        91:{3,5,7}:{(76,1),(77,1),(81,1),(100,1),(101,1),(109,1)}
        92:{1,2,4,6}:{(77,1),(78,1),(79,1),(88,1),(101,1),(102,1),(110,1)}
        93:{1,5,6}:{(78,1),(80,1),(83,1)}
        94:{2,5,6}:{(79,1),(80,1),(84,1)}
        95:{4,5,6}:{(80,1),(85,1),(89,1),(110,1)}
        96:{3,6,7}:{(81,1),(82,1),(101,1),(103,1)}
        97:{1,2,5,7}:{(82,1),(83,1),(84,1),(102,1),(103,1)}
        98:{1,2,4,7}:{(86,1),(87,1),(100,1),(104,1)}
        99:{1,2,3,6}:{(87,1),(88,1),(101,1),(104,1)}
       100:{3,4,7}:{(90,1),(91,1),(98,1),(105,1),(107,1)}
       101:{3,6}:{(91,1),(92,1)}
       102:{1,2,5,6}:{(92,1),(93,1),(94,1),(97,1),(106,1),(108,1)}
       103:{3,5,7}:{(96,1),(97,1),(106,1),(107,1)}
       104:{1,2,4,6}:{(98,1),(99,1),(105,1),(108,1)}
       105:{3,4,6}:{(100,1),(101,1),(104,1),(109,1),(110,1)}
       106:{3,5,6}:{(101,1),(102,1),(103,1),(109,1),(110,1)}
       107:{4,7}:{(103,1),(110,1)}
       108:{1,2,5}:{(104,1),(109,1)}
       109:{3,5}:{(105,1),(108,1),(111,1)}
       110:{4,6}:{(106,1),(107,1),(111,1)}
       111:{4,5}:{(109,1),(110,1)}

1651 :   0:{1,2,3,4,6}:{(1,1),(2,1),(7,1),(10,1),(21,1),(52,1)}
         1:{1,2,3,5}:{(0,1),(3,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(16,1),(67,1)}
         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),(28,1),(47,1),(52,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(10,1)}
         6:{3,4,5}:{(3,1),(14,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(14,1),(16,1)}
         8:{1,2,4,5,7}:{(3,1),(5,1),(15,1),(16,1),(17,1),(41,1)}
         9:{1,2,3,5,7}:{(4,1),(16,1),(18,1),(33,1),(41,1),(63,1),(67,1)}
        10:{1,2,3,6}:{(5,1),(17,1)}
        11:{1,2,4,5,6}:{(7,1),(19,1),(20,1),(28,1),(42,1),(43,1),(47,1),(55,1)}
        12:{2,3,4,5}:{(6,1),(22,1),(23,1),(69,1)}
        13:{1,3,4,5}:{(6,1),(22,1),(24,1),(69,1)}
        14:{3,4,6}:{(6,1),(7,1),(19,1),(25,1)}
        15:{3,4,5,7}:{(6,1),(8,1),(25,1),(26,1),(54,1)}
        16:{1,2,4,7}:{(7,1),(9,1),(25,1)}
        17:{1,2,4,6}:{(8,1),(10,1),(26,1),(28,1)}
        18:{1,2,3,6,7}:{(9,1),(10,1),(27,1),(50,1),(79,1)}
        19:{3,5,6}:{(11,1),(14,1),(33,1)}
        20:{1,2,4,5,7}:{(11,1),(16,1),(33,1),(34,1),(41,1),(57,1),(58,1),(63,1),(68,1)}
        21:{1,2,3,4}:{(35,1)}
        22:{1,2,4,5}:{(12,1),(13,1),(35,1),(36,1)}
        23:{2,3,4,6}:{(12,1),(14,1),(31,1),(36,1),(37,1),(81,1)}
        24:{1,3,4,6}:{(13,1),(14,1),(32,1),(36,1),(38,1),(81,1)}
        25:{3,4,7}:{(14,1),(16,1),(33,1)}
        26:{3,4,6}:{(15,1),(17,1),(40,1)}
        27:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(39,1),(41,1)}
        28:{1,2,5,6}:{(17,1),(40,1),(41,1)}
        29:{3,4,5,6}:{(19,1),(42,1),(43,1),(44,1),(55,1),(70,1),(102,1)}
        30:{1,2,3,4,6}:{(21,1),(45,1),(46,1),(52,1),(75,1),(78,1)}
        31:{2,3,5,6}:{(19,1),(23,1),(42,1),(47,1),(48,1),(70,1)}
        32:{1,3,5,6}:{(19,1),(24,1),(43,1),(47,1),(49,1),(70,1)}
        33:{3,5,7}:{(19,1),(20,1),(25,1),(50,1)}
        34:{1,2,4,6,7}:{(20,1),(50,1),(51,1),(72,1),(73,1),(79,1),(80,1)}
        35:{1,2,3,5}:{(21,1),(22,1),(52,1)}
        36:{1,2,4,6}:{(22,1),(23,1),(24,1),(47,1),(52,1),(53,1)}
        37:{2,3,4,7}:{(23,1),(25,1),(48,1),(53,1),(91,1)}
        38:{1,3,4,7}:{(24,1),(25,1),(49,1),(53,1),(91,1)}
        39:{3,4,6,7}:{(25,1),(26,1),(27,1),(50,1),(54,1),(80,1)}
        40:{3,5,6}:{(26,1),(28,1),(54,1),(55,1)}
        41:{1,2,5,7}:{(27,1),(28,1),(54,1)}
        42:{2,4,5,6}:{(29,1),(31,1),(57,1)}
        43:{1,4,5,6}:{(29,1),(32,1),(58,1)}
        44:{3,4,5,7}:{(29,1),(33,1),(57,1),(58,1),(59,1),(68,1),(83,1),(104,1)}
        45:{1,2,3,5}:{(30,1),(60,1)}
        46:{1,2,3,4,7}:{(30,1),(62,1),(67,1),(88,1)}
        47:{1,2,5,6}:{(31,1),(32,1),(36,1),(63,1)}
        48:{2,3,5,7}:{(31,1),(33,1),(37,1),(57,1),(63,1),(64,1),(83,1)}
        49:{1,3,5,7}:{(32,1),(33,1),(38,1),(58,1),(63,1),(65,1),(83,1)}
        50:{3,6,7}:{(33,1),(34,1)}
        51:{1,2,5,6,7}:{(34,1),(41,1),(66,1),(85,1),(86,1)}
        52:{1,2,3,6}:{(35,1),(36,1),(67,1)}
        53:{1,2,4,7}:{(36,1),(37,1),(38,1),(63,1),(67,1)}
        54:{3,5,7}:{(39,1),(40,1),(41,1),(68,1)}
        55:{4,5,6}:{(40,1),(68,1)}
        56:{1,2,4,5,6}:{(42,1),(43,1),(47,1),(70,1),(71,1),(75,1),(96,1),(102,1)}
        57:{2,4,5,7}:{(42,1),(44,1),(48,1),(72,1)}
        58:{1,4,5,7}:{(43,1),(44,1),(49,1),(73,1)}
        59:{3,4,6,7}:{(44,1),(50,1),(72,1),(73,1),(74,1),(80,1),(93,1),(103,1)}
        60:{1,2,4,5}:{(45,1),(69,1),(75,1)}
        61:{1,2,3,5,6}:{(45,1),(47,1),(52,1),(70,1),(75,1),(77,1),(78,1),(96,1)}
        62:{1,2,3,5,7}:{(45,1),(46,1),(76,1),(78,1)}
        63:{1,2,5,7}:{(47,1),(48,1),(49,1),(53,1),(79,1)}
        64:{2,3,6,7}:{(48,1),(50,1),(72,1),(79,1),(93,1)}
        65:{1,3,6,7}:{(49,1),(50,1),(73,1),(79,1),(93,1)}
        66:{3,5,6,7}:{(50,1),(51,1),(54,1),(80,1)}
        67:{1,2,3,7}:{(52,1),(53,1)}
        68:{4,5,7}:{(54,1),(55,1),(80,1)}
        69:{3,4,5}:{(60,1),(81,1)}
        70:{3,5,6}:{(56,1),(81,1),(83,1)}
        71:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(63,1),(83,1),(84,1),(88,1),(100,1),(104,1)}
        72:{2,4,6,7}:{(57,1),(59,1),(64,1),(85,1)}
        73:{1,4,6,7}:{(58,1),(59,1),(65,1),(86,1)}
        74:{3,5,6,7}:{(59,1),(85,1),(86,1),(87,1)}
        75:{1,2,4,6}:{(60,1),(61,1),(81,1),(88,1)}
        76:{1,2,4,5,7}:{(60,1),(62,1),(82,1),(88,1),(89,1),(100,1)}
        77:{1,2,3,5,7}:{(61,1),(63,1),(67,1),(83,1),(88,1),(90,1),(100,1)}
        78:{1,2,3,6}:{(62,1),(89,1)}
        79:{1,2,6,7}:{(63,1),(64,1),(65,1)}
        80:{4,6,7}:{(66,1),(68,1)}
        81:{3,4,6}:{(69,1),(70,1),(75,1),(91,1)}
        82:{3,4,5,7}:{(69,1),(76,1),(91,1),(92,1),(101,1)}
        83:{3,5,7}:{(70,1),(71,1),(91,1),(93,1)}
        84:{1,2,4,6,7}:{(71,1),(72,1),(73,1),(79,1),(93,1),(94,1),(103,1)}
        85:{2,5,6,7}:{(72,1),(74,1)}
        86:{1,5,6,7}:{(73,1),(74,1)}
        87:{4,5,6,7}:{(74,1),(80,1),(103,1)}
        88:{1,2,4,7}:{(75,1),(77,1),(91,1)}
        89:{1,2,4,6}:{(76,1),(78,1),(92,1),(96,1)}
        90:{1,2,3,6,7}:{(77,1),(78,1),(79,1),(93,1),(95,1)}
        91:{3,4,7}:{(81,1),(83,1),(88,1)}
        92:{3,4,6}:{(82,1),(89,1),(98,1)}
        93:{3,6,7}:{(83,1),(84,1)}
        94:{1,2,5,6,7}:{(84,1),(85,1),(86,1),(99,1),(100,1)}
        95:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(97,1),(100,1)}
        96:{1,2,5,6}:{(89,1),(98,1),(100,1)}
        97:{3,4,6,7}:{(91,1),(92,1),(93,1),(95,1),(101,1),(103,1)}
        98:{3,5,6}:{(92,1),(96,1),(101,1),(102,1)}
        99:{3,5,6,7}:{(93,1),(94,1),(101,1),(103,1)}
       100:{1,2,5,7}:{(95,1),(96,1),(101,1)}
       101:{3,5,7}:{(97,1),(98,1),(100,1),(104,1)}
       102:{4,5,6}:{(98,1),(104,1)}
       103:{4,6,7}:{(99,1),(104,1)}
       104:{4,5,7}:{(101,1),(102,1),(103,1)}

1652 :   0:{1,2,3,4,7}:{(1,1),(2,1),(21,1),(65,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1)}
         2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(15,1),(54,1),(55,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(21,1)}
         4:{1,2,3,6}:{(1,1),(7,1)}
         5:{1,2,3,5}:{(2,1),(10,1)}
         6:{3,4,5,7}:{(3,1),(11,1),(16,1),(25,1),(30,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(11,1),(13,1)}
         8:{1,2,3,6,7}:{(4,1),(12,1),(14,1),(49,1),(72,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(15,1),(29,1),(52,1),(54,1)}
        10:{1,2,4,5}:{(5,1),(15,1),(16,1)}
        11:{3,4,6}:{(6,1),(7,1),(18,1)}
        12:{1,2,4,6,7}:{(7,1),(8,1),(17,1),(19,1),(21,1)}
        13:{1,2,5,6}:{(7,1),(18,1),(19,1)}
        14:{1,2,3,5,7}:{(8,1),(9,1),(19,1),(21,1),(38,1),(63,1),(65,1)}
        15:{1,2,4,6}:{(9,1),(10,1),(21,1),(22,1)}
        16:{3,4,5}:{(10,1),(22,1)}
        17:{3,4,6,7}:{(11,1),(12,1),(25,1),(30,1),(45,1),(49,1)}
        18:{3,5,6}:{(11,1),(13,1),(25,1),(26,1)}
        19:{1,2,5,7}:{(12,1),(13,1),(25,1)}
        20:{1,2,4,5,6}:{(13,1),(15,1),(26,1),(28,1),(29,1),(47,1),(48,1),(52,1)}
        21:{1,2,4,7}:{(14,1),(15,1),(30,1)}
        22:{3,4,6}:{(15,1),(16,1),(29,1),(30,1)}
        23:{1,3,4,5}:{(16,1),(31,1),(33,1),(89,1)}
        24:{2,3,4,5}:{(16,1),(32,1),(33,1),(89,1)}
        25:{3,5,7}:{(17,1),(18,1),(19,1),(35,1)}
        26:{4,5,6}:{(18,1),(35,1)}
        27:{1,2,5,6,7}:{(19,1),(34,1),(37,1),(77,1),(78,1)}
        28:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(35,1),(37,1),(38,1),(58,1),(59,1),(63,1)}
        29:{3,5,6}:{(20,1),(22,1),(38,1)}
        30:{3,4,7}:{(21,1),(22,1),(38,1)}
        31:{1,3,4,6}:{(22,1),(23,1),(39,1),(41,1),(43,1),(81,1)}
        32:{2,3,4,6}:{(22,1),(24,1),(40,1),(42,1),(43,1),(81,1)}
        33:{1,2,4,5}:{(23,1),(24,1),(43,1),(44,1)}
        34:{3,5,6,7}:{(25,1),(27,1),(45,1),(49,1)}
        35:{4,5,7}:{(25,1),(26,1),(45,1)}
        36:{3,4,5,6}:{(26,1),(29,1),(46,1),(47,1),(48,1),(71,1),(104,1)}
        37:{1,2,4,6,7}:{(27,1),(28,1),(45,1),(49,1),(68,1),(69,1),(72,1)}
        38:{3,5,7}:{(28,1),(29,1),(30,1),(49,1)}
        39:{1,3,5,6}:{(29,1),(31,1),(47,1),(50,1),(52,1),(71,1)}
        40:{2,3,5,6}:{(29,1),(32,1),(48,1),(51,1),(52,1),(71,1)}
        41:{1,3,4,7}:{(30,1),(31,1),(50,1),(53,1),(88,1)}
        42:{2,3,4,7}:{(30,1),(32,1),(51,1),(53,1),(88,1)}
        43:{1,2,4,6}:{(31,1),(32,1),(33,1),(52,1),(53,1),(54,1)}
        44:{1,2,3,5}:{(33,1),(54,1),(55,1)}
        45:{4,6,7}:{(34,1),(35,1)}
        46:{3,4,5,7}:{(35,1),(36,1),(38,1),(57,1),(58,1),(59,1),(80,1),(102,1)}
        47:{1,4,5,6}:{(36,1),(39,1),(58,1)}
        48:{2,4,5,6}:{(36,1),(40,1),(59,1)}
        49:{3,6,7}:{(37,1),(38,1)}
        50:{1,3,5,7}:{(38,1),(39,1),(41,1),(58,1),(61,1),(63,1),(80,1)}
        51:{2,3,5,7}:{(38,1),(40,1),(42,1),(59,1),(62,1),(63,1),(80,1)}
        52:{1,2,5,6}:{(39,1),(40,1),(43,1),(63,1)}
        53:{1,2,4,7}:{(41,1),(42,1),(43,1),(63,1),(65,1)}
        54:{1,2,3,6}:{(43,1),(44,1),(65,1)}
        55:{1,2,3,4}:{(44,1)}
        56:{4,5,6,7}:{(45,1),(67,1),(98,1)}
        57:{3,4,6,7}:{(45,1),(46,1),(49,1),(67,1),(68,1),(69,1),(87,1),(98,1)}
        58:{1,4,5,7}:{(46,1),(47,1),(50,1),(68,1)}
        59:{2,4,5,7}:{(46,1),(48,1),(51,1),(69,1)}
        60:{1,2,4,5,6}:{(47,1),(48,1),(52,1),(70,1),(71,1),(74,1),(101,1),(104,1)}
        61:{1,3,6,7}:{(49,1),(50,1),(68,1),(72,1),(87,1)}
        62:{2,3,6,7}:{(49,1),(51,1),(69,1),(72,1),(87,1)}
        63:{1,2,5,7}:{(50,1),(51,1),(52,1),(53,1),(72,1)}
        64:{1,2,3,5,6}:{(52,1),(54,1),(71,1),(73,1),(74,1),(76,1),(92,1),(101,1)}
        65:{1,2,3,7}:{(53,1),(54,1)}
        66:{1,2,3,4,6}:{(54,1),(55,1),(74,1),(75,1),(76,1),(92,1)}
        67:{3,5,6,7}:{(56,1),(57,1),(77,1),(78,1)}
        68:{1,4,6,7}:{(57,1),(58,1),(61,1),(77,1)}
        69:{2,4,6,7}:{(57,1),(59,1),(62,1),(78,1)}
        70:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(63,1),(79,1),(80,1),(83,1),(96,1),(102,1)}
        71:{3,5,6}:{(60,1),(80,1),(81,1)}
        72:{1,2,6,7}:{(61,1),(62,1),(63,1)}
        73:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(80,1),(82,1),(83,1),(96,1)}
        74:{1,2,4,6}:{(64,1),(81,1),(83,1),(84,1)}
        75:{1,2,3,4,7}:{(65,1),(66,1),(83,1),(85,1)}
        76:{1,2,3,5}:{(66,1),(84,1)}
        77:{1,5,6,7}:{(67,1),(68,1)}
        78:{2,5,6,7}:{(67,1),(69,1)}
        79:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(72,1),(86,1),(87,1),(98,1)}
        80:{3,5,7}:{(70,1),(71,1),(87,1),(88,1)}
        81:{3,4,6}:{(71,1),(74,1),(88,1),(89,1)}
        82:{1,2,3,6,7}:{(72,1),(73,1),(87,1),(90,1),(92,1)}
        83:{1,2,4,7}:{(73,1),(74,1),(88,1)}
        84:{1,2,4,5}:{(74,1),(76,1),(89,1)}
        85:{1,2,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,2,5,6,7}:{(77,1),(78,1),(79,1),(93,1),(96,1)}
        87:{3,6,7}:{(79,1),(80,1)}
        88:{3,4,7}:{(80,1),(81,1),(83,1)}
        89:{3,4,5}:{(81,1),(84,1)}
        90:{1,2,4,6,7}:{(82,1),(83,1),(94,1),(96,1),(97,1)}
        91:{1,2,4,5,7}:{(83,1),(84,1),(85,1),(95,1),(96,1),(97,1)}
        92:{1,2,3,6}:{(85,1),(97,1)}
        93:{3,5,6,7}:{(86,1),(87,1),(98,1),(99,1)}
        94:{3,4,6,7}:{(87,1),(88,1),(90,1),(98,1),(99,1),(100,1)}
        95:{3,4,5,7}:{(88,1),(89,1),(91,1),(99,1),(100,1)}
        96:{1,2,5,7}:{(90,1),(99,1),(101,1)}
        97:{1,2,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{4,6,7}:{(93,1),(102,1)}
        99:{3,5,7}:{(94,1),(96,1),(102,1),(103,1)}
       100:{3,4,6}:{(95,1),(97,1),(103,1)}
       101:{1,2,5,6}:{(96,1),(97,1),(103,1)}
       102:{4,5,7}:{(98,1),(99,1),(104,1)}
       103:{3,5,6}:{(99,1),(100,1),(101,1),(104,1)}
       104:{4,5,6}:{(102,1),(103,1)}

1653 :  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:{3,4,5}:{(2,1),(7,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
        6:{1,2,3,7}:{(3,1),(9,1)}
        7:{3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,5,6}:{(5,1),(10,1),(12,1)}
        9:{1,2,4,7}:{(5,1),(6,1),(11,1),(12,1)}
       10:{3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{3,4,7}:{(7,1),(9,1),(14,1)}
       12:{1,2,5,7}:{(8,1),(9,1),(14,1),(15,1)}
       13:{4,5,6}:{(10,1),(16,1)}
       14:{3,5,7}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
       15:{1,2,6,7}:{(12,1),(17,1)}
       16:{4,5,7}:{(13,1),(14,1),(18,1)}
       17:{3,6,7}:{(14,1),(15,1),(18,1)}
       18:{4,6,7}:{(16,1),(17,1),(19,1)}
       19:{5,6,7}:{(18,1)}

1654 :   0:{1,2,3,6,7}:{(3,1),(4,1),(44,1),(80,1),(81,1),(82,1),(83,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(42,1),(44,1),(50,1),(82,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(44,1),(54,1),(81,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(27,1),(61,1),(69,1),(72,1),(94,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(28,1),(65,1),(66,1),(90,1),(91,1),(93,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(11,1),(28,1),(60,1),(67,1)}
         6:{1,3,5,7}:{(2,1),(8,1),(12,1),(13,1),(28,1),(59,1),(70,1)}
         7:{1,2,3,5,6}:{(4,1),(14,1),(15,1),(40,1),(44,1),(77,1),(78,1),(79,1),(80,1),(83,1)}
         8:{1,2,5,7}:{(3,1),(5,1),(6,1),(15,1),(79,1),(84,1),(85,1)}
         9:{1,2,4,7}:{(4,1),(14,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(15,1),(19,1),(44,1),(49,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(75,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(15,1),(22,1),(44,1),(53,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(74,1),(95,1)}
        14:{1,2,4,6}:{(7,1),(9,1),(24,1),(25,1),(87,1),(88,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(12,1),(27,1),(68,1),(71,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(11,1),(13,1),(24,1),(27,1),(28,1),(34,1),(38,1),(65,1),(89,1),(101,1)}
        17:{3,4,7}:{(9,1),(25,1),(28,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(26,1),(32,1),(62,1),(67,1),(91,1)}
        19:{2,4,6}:{(10,1),(11,1),(33,1)}
        20:{3,4,5,7}:{(11,1),(28,1),(33,1),(34,1),(56,1),(67,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(26,1),(36,1),(62,1),(70,1),(90,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(28,1),(37,1),(38,1),(56,1),(70,1),(86,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(74,1),(75,1),(79,1)}
        25:{3,4,6}:{(14,1),(17,1),(40,1),(44,1)}
        26:{1,2,5,6,7}:{(15,1),(18,1),(21,1),(43,1),(84,1),(85,1),(99,1)}
        27:{1,2,4,6}:{(15,1),(16,1),(19,1),(22,1),(44,1),(51,1),(55,1),(83,1)}
        28:{3,5,7}:{(16,1),(17,1),(40,1),(44,1),(98,1),(104,1)}
        29:{1,3,4,7}:{(17,1),(41,1),(45,1),(47,1),(95,1),(104,1)}
        30:{2,3,4,7}:{(17,1),(42,1),(46,1),(47,1),(96,1),(104,1)}
        31:{2,4,5,6}:{(19,1),(48,1),(49,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(48,1),(50,1),(96,1)}
        33:{3,4,6}:{(19,1),(20,1),(44,1),(49,1),(51,1)}
        34:{1,4,5,7}:{(20,1),(45,1),(51,1),(74,1),(84,1),(95,1)}
        35:{1,4,5,6}:{(22,1),(52,1),(53,1)}
        36:{1,4,6,7}:{(21,1),(22,1),(52,1),(54,1),(95,1)}
        37:{3,4,6}:{(22,1),(23,1),(44,1),(53,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(46,1),(55,1),(75,1),(85,1),(96,1)}
        39:{1,2,4,5,6}:{(24,1),(27,1),(31,1),(35,1),(57,1),(58,1),(68,1),(71,1),(87,1),(88,1),(92,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(29,1),(59,1),(61,1),(63,1),(87,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(30,1),(60,1),(61,1),(64,1),(88,1),(102,1),(103,1)}
        43:{1,2,4,6,7}:{(26,1),(27,1),(32,1),(36,1),(57,1),(62,1),(69,1),(72,1),(94,1),(101,1)}
        44:{3,6}:{(27,1),(28,1)}
        45:{1,3,5,7}:{(28,1),(29,1),(34,1),(59,1),(63,1),(65,1)}
        46:{2,3,5,7}:{(28,1),(30,1),(38,1),(60,1),(64,1),(65,1)}
        47:{1,2,4,7}:{(29,1),(30,1),(61,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(31,1),(32,1),(67,1)}
        49:{3,5,6}:{(31,1),(33,1),(67,1),(68,1)}
        50:{3,4,6,7}:{(32,1),(33,1),(62,1),(67,1),(69,1),(86,1)}
        51:{1,4,6}:{(33,1),(34,1),(63,1),(68,1)}
        52:{1,4,5,7}:{(35,1),(36,1),(70,1)}
        53:{3,5,6}:{(35,1),(37,1),(70,1),(71,1)}
        54:{3,4,6,7}:{(36,1),(37,1),(62,1),(70,1),(72,1),(86,1)}
        55:{2,4,6}:{(37,1),(38,1),(64,1),(71,1)}
        56:{3,4,5}:{(40,1),(73,1),(74,1),(75,1),(98,1)}
        57:{1,2,4,5,7}:{(39,1),(43,1),(48,1),(52,1),(76,1),(84,1),(85,1),(95,1),(96,1),(99,1)}
        58:{3,5,6}:{(39,1),(40,1),(44,1),(73,1),(76,1)}
        59:{1,3,5}:{(40,1),(41,1),(74,1),(79,1),(98,1)}
        60:{2,3,5}:{(40,1),(42,1),(75,1),(79,1),(98,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(47,1),(79,1),(80,1),(83,1),(100,1)}
        62:{3,6,7}:{(43,1),(44,1),(76,1),(104,1)}
        63:{1,3,6}:{(44,1),(45,1),(51,1),(83,1)}
        64:{2,3,6}:{(44,1),(46,1),(55,1),(83,1)}
        65:{1,2,5,7}:{(45,1),(46,1),(47,1),(79,1),(83,1)}
        66:{1,2,3,7}:{(47,1),(80,1),(104,1)}
        67:{3,5,7}:{(48,1),(49,1),(50,1),(84,1)}
        68:{1,5,6}:{(49,1),(51,1),(84,1)}
        69:{1,4,6,7}:{(50,1),(51,1),(81,1),(84,1),(95,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{2,5,6}:{(53,1),(55,1),(85,1)}
        72:{2,4,6,7}:{(54,1),(55,1),(82,1),(85,1),(96,1)}
        73:{3,4,6}:{(56,1),(58,1),(86,1),(87,1),(88,1),(102,1)}
        74:{1,4,5}:{(56,1),(59,1),(87,1)}
        75:{2,4,5}:{(56,1),(60,1),(88,1)}
        76:{3,5,7}:{(57,1),(58,1),(62,1),(86,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(68,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(64,1),(71,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(66,1),(93,1),(102,1)}
        81:{1,3,6,7}:{(62,1),(63,1),(69,1),(90,1),(94,1)}
        82:{2,3,6,7}:{(62,1),(64,1),(72,1),(91,1),(94,1)}
        83:{1,2,6}:{(63,1),(64,1),(65,1)}
        84:{1,5,7}:{(67,1),(68,1),(69,1)}
        85:{2,5,7}:{(70,1),(71,1),(72,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        88:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(74,1),(75,1),(79,1),(97,1),(98,1),(100,1)}
        90:{1,3,5,7}:{(76,1),(77,1),(81,1),(84,1),(95,1),(99,1),(104,1)}
        91:{2,3,5,7}:{(76,1),(78,1),(82,1),(85,1),(96,1),(99,1),(104,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(83,1),(97,1),(99,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(98,1),(100,1)}
        94:{1,2,6,7}:{(81,1),(82,1),(83,1),(99,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,4,6}:{(87,1),(88,1),(89,1),(92,1),(101,1),(102,1)}
        98:{3,5}:{(89,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(90,1),(91,1),(92,1),(94,1),(101,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1655 :   0:{1,3,4,6,7}:{(2,1),(3,1),(14,1),(39,1),(42,1),(45,1),(70,1),(73,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(40,1),(42,1),(45,1),(71,1),(74,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(26,1),(29,1),(55,1),(56,1),(84,1),(87,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(30,1),(49,1),(85,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(8,1),(10,1),(30,1),(50,1),(86,1)}
         5:{1,3,5,6}:{(3,1),(13,1),(14,1),(36,1),(42,1)}
         6:{2,3,5,6}:{(4,1),(13,1),(15,1),(37,1),(42,1)}
         7:{1,2,3,6,7}:{(2,1),(16,1),(42,1),(70,1),(71,1),(75,1),(96,1),(101,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(4,1),(13,1),(65,1),(66,1),(95,1)}
         9:{1,4,5,7}:{(3,1),(14,1),(18,1),(89,1),(92,1)}
        10:{2,4,5,7}:{(4,1),(15,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(5,1),(22,1),(23,1),(49,1),(54,1),(78,1)}
        12:{2,3,5,6,7}:{(6,1),(22,1),(24,1),(50,1),(54,1),(79,1)}
        13:{1,2,5,6}:{(5,1),(6,1),(8,1),(26,1),(52,1),(53,1)}
        14:{1,4,6}:{(5,1),(9,1),(27,1)}
        15:{2,4,6}:{(6,1),(10,1),(28,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(25,1),(29,1),(30,1),(63,1),(78,1),(79,1),(88,1),(100,1)}
        17:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(26,1),(29,1),(30,1),(31,1),(32,1),(57,1),(63,1),(97,1),(98,1)}
        18:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(49,1),(77,1),(80,1)}
        19:{3,4,5,7}:{(10,1),(28,1),(30,1),(32,1),(50,1),(77,1),(80,1)}
        20:{1,4,5,6}:{(14,1),(33,1),(36,1)}
        21:{2,4,5,6}:{(15,1),(34,1),(37,1)}
        22:{1,2,5,6,7}:{(11,1),(12,1),(13,1),(38,1),(65,1),(66,1),(91,1)}
        23:{1,4,6,7}:{(11,1),(14,1),(33,1),(39,1),(89,1)}
        24:{2,4,6,7}:{(12,1),(15,1),(34,1),(40,1),(90,1)}
        25:{1,2,3,5,6}:{(13,1),(16,1),(41,1),(42,1),(68,1),(69,1),(72,1),(75,1),(95,1),(96,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(42,1),(43,1),(44,1),(75,1)}
        27:{3,4,6}:{(14,1),(18,1),(36,1),(42,1),(43,1)}
        28:{3,4,6}:{(15,1),(19,1),(37,1),(42,1),(44,1)}
        29:{1,2,4,7}:{(16,1),(41,1),(45,1),(89,1),(90,1),(103,1)}
        30:{3,5,7}:{(17,1),(42,1),(45,1),(72,1),(101,1),(102,1)}
        31:{2,4,5,7}:{(18,1),(43,1),(47,1),(65,1),(90,1),(93,1)}
        32:{1,4,5,7}:{(19,1),(44,1),(46,1),(66,1),(89,1),(92,1)}
        33:{1,4,5,7}:{(20,1),(23,1),(49,1)}
        34:{2,4,5,7}:{(21,1),(24,1),(50,1)}
        35:{1,2,4,5,6}:{(20,1),(21,1),(26,1),(48,1),(51,1),(52,1),(53,1),(57,1),(81,1),(82,1),(83,1)}
        36:{3,5,6}:{(20,1),(27,1),(49,1),(52,1)}
        37:{3,5,6}:{(21,1),(28,1),(50,1),(53,1)}
        38:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(26,1),(48,1),(54,1),(55,1),(56,1),(84,1),(97,1)}
        39:{3,4,6,7}:{(23,1),(27,1),(49,1),(54,1),(55,1),(77,1)}
        40:{3,4,6,7}:{(24,1),(28,1),(50,1),(54,1),(56,1),(77,1)}
        41:{1,2,4,6}:{(25,1),(29,1),(57,1),(58,1),(81,1),(82,1)}
        42:{3,6}:{(26,1),(30,1)}
        43:{2,4,6}:{(27,1),(31,1),(52,1),(60,1)}
        44:{1,4,6}:{(28,1),(32,1),(53,1),(59,1)}
        45:{3,4,7}:{(29,1),(30,1),(58,1),(104,1)}
        46:{1,3,5,7}:{(30,1),(32,1),(59,1),(61,1),(63,1),(85,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(60,1),(62,1),(63,1),(86,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(38,1),(64,1),(65,1),(66,1),(89,1),(90,1),(91,1)}
        49:{3,5,7}:{(33,1),(36,1),(39,1),(65,1)}
        50:{3,5,7}:{(34,1),(37,1),(40,1),(66,1)}
        51:{3,5,6}:{(35,1),(42,1),(64,1),(67,1),(72,1)}
        52:{2,5,6}:{(36,1),(43,1),(65,1)}
        53:{1,5,6}:{(37,1),(44,1),(66,1)}
        54:{3,6,7}:{(38,1),(42,1),(64,1),(101,1)}
        55:{2,4,6,7}:{(39,1),(43,1),(65,1),(71,1),(90,1)}
        56:{1,4,6,7}:{(40,1),(44,1),(66,1),(70,1),(89,1)}
        57:{1,2,4,5}:{(41,1),(72,1),(92,1),(93,1),(95,1)}
        58:{3,4,6}:{(41,1),(42,1),(45,1),(72,1)}
        59:{1,3,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{2,3,6}:{(42,1),(43,1),(47,1),(75,1)}
        61:{1,3,4,7}:{(45,1),(46,1),(73,1),(76,1),(89,1),(101,1)}
        62:{2,3,4,7}:{(45,1),(47,1),(74,1),(76,1),(90,1),(101,1)}
        63:{1,2,5,7}:{(46,1),(47,1),(75,1),(76,1),(95,1)}
        64:{3,5,7}:{(48,1),(51,1),(54,1),(77,1)}
        65:{2,5,7}:{(49,1),(52,1),(55,1)}
        66:{1,5,7}:{(50,1),(53,1),(56,1)}
        67:{3,4,6}:{(51,1),(77,1),(80,1),(81,1),(82,1),(99,1)}
        68:{1,3,5,6}:{(51,1),(53,1),(59,1),(78,1),(81,1),(83,1),(85,1),(99,1)}
        69:{2,3,5,6}:{(51,1),(52,1),(60,1),(79,1),(82,1),(83,1),(86,1),(99,1)}
        70:{1,3,6,7}:{(54,1),(56,1),(59,1),(78,1),(84,1)}
        71:{2,3,6,7}:{(54,1),(55,1),(60,1),(79,1),(84,1)}
        72:{3,5}:{(57,1),(58,1)}
        73:{1,3,4,6}:{(58,1),(59,1),(61,1),(81,1),(85,1),(87,1),(99,1),(104,1)}
        74:{2,3,4,6}:{(58,1),(60,1),(62,1),(82,1),(86,1),(87,1),(99,1),(104,1)}
        75:{1,2,6}:{(59,1),(60,1),(63,1)}
        76:{1,2,4,7}:{(61,1),(62,1),(63,1),(87,1),(88,1)}
        77:{3,4,7}:{(64,1),(67,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(66,1),(68,1),(70,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(69,1),(71,1),(90,1),(91,1),(101,1)}
        80:{3,4,5}:{(67,1),(72,1),(92,1),(93,1),(102,1)}
        81:{1,4,6}:{(67,1),(68,1),(89,1),(92,1)}
        82:{2,4,6}:{(67,1),(69,1),(90,1),(93,1)}
        83:{1,2,5,6}:{(68,1),(69,1),(75,1),(91,1),(94,1),(95,1)}
        84:{1,2,6,7}:{(70,1),(71,1),(75,1),(91,1)}
        85:{1,3,5}:{(72,1),(73,1),(92,1),(95,1),(102,1)}
        86:{2,3,5}:{(72,1),(74,1),(93,1),(95,1),(102,1)}
        87:{1,2,4,6}:{(73,1),(74,1),(75,1),(76,1),(95,1),(96,1),(103,1)}
        88:{1,2,3,7}:{(76,1),(96,1),(101,1)}
        89:{1,4,7}:{(77,1),(78,1),(81,1)}
        90:{2,4,7}:{(77,1),(79,1),(82,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(83,1),(84,1),(97,1)}
        92:{1,4,5}:{(80,1),(81,1),(85,1)}
        93:{2,4,5}:{(80,1),(82,1),(86,1)}
        94:{1,2,4,6}:{(81,1),(82,1),(83,1),(97,1),(98,1),(99,1)}
        95:{1,2,5}:{(85,1),(86,1),(87,1)}
        96:{1,2,3,6}:{(87,1),(88,1),(99,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(94,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
        99:{3,6}:{(94,1),(101,1),(102,1)}
       100:{1,2,3,5}:{(95,1),(96,1),(102,1),(103,1)}
       101:{3,7}:{(97,1),(99,1)}
       102:{3,5}:{(98,1),(99,1),(104,1)}
       103:{1,2,4}:{(100,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1656 :  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:{3,4,5}:{(2,1),(7,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
        6:{1,2,3,7}:{(3,1),(9,1)}
        7:{3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,5,6}:{(5,1),(10,1),(12,1)}
        9:{1,2,4,7}:{(5,1),(6,1),(11,1),(12,1)}
       10:{3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{3,4,7}:{(7,1),(9,1),(14,1)}
       12:{1,2,5,7}:{(8,1),(9,1),(14,1),(15,1)}
       13:{4,5,6}:{(10,1),(16,1)}
       14:{3,5,7}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
       15:{1,2,6,7}:{(12,1),(17,1)}
       16:{4,5,7}:{(13,1),(14,1),(18,1)}
       17:{3,6,7}:{(14,1),(15,1),(18,1)}
       18:{4,6,7}:{(16,1),(17,1),(19,1)}
       19:{5,6,7}:{(18,1)}

1657 :   0:{2,4,5,6,7}:{(1,1),(9,1),(195,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(202,1)}
         2:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(32,1),(193,1)}
         3:{1,5,6,7}:{(1,1),(8,1),(206,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(28,1),(32,1),(163,1)}
         5:{3,4,5,6}:{(7,1),(11,1),(12,1),(37,1),(168,1),(193,1)}
         6:{2,3,4,5,7}:{(13,1),(14,1),(28,1),(62,1),(72,1),(75,1),(107,1),(122,1),(158,1),(162,1)}
         7:{3,4,5,7}:{(2,1),(5,1),(15,1),(16,1),(45,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(200,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(181,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(19,1),(20,1),(44,1),(86,1),(138,1)}
        11:{1,4,5,6}:{(5,1),(15,1),(21,1),(183,1),(200,1)}
        12:{2,4,5,6}:{(5,1),(16,1),(22,1),(148,1),(181,1)}
        13:{2,3,4,6}:{(6,1),(22,1),(24,1),(53,1),(134,1),(179,1),(181,1)}
        14:{1,2,4,5,7}:{(6,1),(24,1),(25,1),(44,1),(56,1),(83,1),(94,1),(97,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(11,1),(27,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(12,1),(28,1)}
        17:{1,3,6,7}:{(8,1),(27,1),(30,1),(32,1),(191,1)}
        18:{2,3,4,6,7}:{(9,1),(13,1),(28,1),(31,1),(32,1),(62,1),(64,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(29,1),(30,1),(32,1),(33,1),(64,1),(159,1)}
        20:{1,3,5,6,7}:{(10,1),(32,1),(33,1),(61,1),(66,1),(113,1)}
        21:{1,3,5,6}:{(11,1),(27,1),(34,1),(35,1),(37,1),(165,1),(191,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(28,1),(36,1),(37,1),(112,1),(122,1)}
        23:{1,2,4,5,6}:{(11,1),(12,1),(29,1),(35,1),(36,1),(37,1),(67,1),(70,1),(71,1),(112,1),(118,1),(159,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(36,1),(38,1),(71,1)}
        25:{1,3,5,7}:{(14,1),(38,1),(40,1),(74,1),(158,1)}
        26:{1,3,4,5}:{(34,1),(41,1),(72,1),(127,1),(165,1)}
        27:{1,3,5,7}:{(15,1),(17,1),(21,1),(42,1),(43,1),(45,1)}
        28:{2,3,5,7}:{(16,1),(18,1),(22,1),(44,1),(45,1),(86,1)}
        29:{1,2,4,5,7}:{(15,1),(16,1),(19,1),(23,1),(43,1),(44,1),(45,1),(49,1),(82,1),(83,1),(86,1)}
        30:{1,2,6,7}:{(17,1),(43,1),(46,1),(176,1)}
        31:{1,2,4,6,7}:{(18,1),(24,1),(44,1),(47,1),(83,1)}
        32:{3,6,7}:{(19,1),(45,1),(179,1)}
        33:{1,4,6,7}:{(20,1),(48,1),(49,1),(83,1),(135,1)}
        34:{1,3,4,6}:{(21,1),(26,1),(42,1),(50,1),(53,1)}
        35:{1,2,5,6}:{(21,1),(43,1),(50,1),(51,1),(142,1),(176,1)}
        36:{1,2,5,6}:{(22,1),(24,1),(44,1),(52,1),(97,1)}
        37:{3,5,6}:{(23,1),(45,1),(53,1),(144,1),(179,1)}
        38:{1,3,6}:{(24,1),(25,1),(179,1)}
        39:{1,2,3,5,7}:{(25,1),(54,1),(56,1),(97,1),(99,1)}
        40:{1,3,4,7}:{(25,1),(55,1),(56,1),(83,1),(132,1)}
        41:{1,2,4,5}:{(26,1),(50,1),(58,1),(93,1),(102,1),(142,1)}
        42:{1,3,4,7}:{(27,1),(34,1),(59,1),(62,1)}
        43:{1,2,5,7}:{(27,1),(30,1),(35,1),(59,1),(60,1)}
        44:{1,2,5,7}:{(28,1),(31,1),(36,1),(61,1)}
        45:{3,5,7}:{(29,1),(32,1),(37,1),(62,1)}
        46:{2,3,6,7}:{(30,1),(32,1),(60,1),(64,1),(157,1)}
        47:{1,3,6,7}:{(31,1),(32,1),(38,1),(61,1)}
        48:{3,4,6,7}:{(32,1),(33,1),(62,1),(64,1),(66,1),(109,1)}
        49:{1,4,5,7}:{(33,1),(66,1),(67,1)}
        50:{1,2,4,6}:{(34,1),(35,1),(41,1),(59,1),(68,1),(70,1)}
        51:{2,3,5,6}:{(35,1),(37,1),(60,1),(68,1),(70,1),(112,1),(116,1),(157,1)}
        52:{1,3,5,6}:{(36,1),(37,1),(38,1),(61,1),(71,1),(74,1)}
        53:{3,4,6}:{(37,1),(62,1),(70,1),(71,1),(72,1)}
        54:{1,2,3,6}:{(38,1),(39,1),(73,1),(125,1)}
        55:{1,3,4,6}:{(38,1),(40,1),(71,1),(73,1),(74,1),(117,1)}
        56:{1,2,4,7}:{(39,1),(40,1),(73,1),(75,1)}
        57:{1,3,4,5,7}:{(40,1),(74,1),(76,1),(77,1),(108,1),(124,1),(158,1),(168,1),(190,1),(199,1)}
        58:{2,3,5}:{(41,1),(68,1),(79,1)}
        59:{1,2,4,7}:{(42,1),(43,1),(50,1),(80,1),(82,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(46,1),(51,1),(80,1),(82,1),(86,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(47,1),(52,1),(83,1)}
        62:{3,4,7}:{(45,1),(53,1),(82,1),(83,1)}
        63:{1,2,3,6,7}:{(46,1),(47,1),(54,1),(81,1),(85,1),(151,1),(176,1),(179,1),(201,1)}
        64:{2,4,6,7}:{(46,1),(48,1),(82,1),(86,1),(134,1)}
        65:{1,3,4,6,7}:{(47,1),(48,1),(55,1),(83,1),(85,1),(87,1),(132,1),(135,1),(179,1)}
        66:{3,5,7}:{(48,1),(49,1),(86,1),(88,1)}
        67:{1,4,5,6}:{(49,1),(88,1),(135,1)}
        68:{2,3,6}:{(50,1),(58,1),(80,1)}
        69:{1,2,3,5,6}:{(51,1),(52,1),(54,1),(81,1),(90,1),(92,1),(97,1),(138,1),(142,1),(144,1),(149,1),(176,1),(179,1),(184,1)}
        70:{2,4,6}:{(51,1),(53,1),(82,1),(93,1)}
        71:{1,4,6}:{(52,1),(53,1),(83,1),(94,1)}
        72:{3,4,5}:{(53,1),(93,1),(94,1),(144,1)}
        73:{1,2,4,6}:{(54,1),(55,1),(56,1),(96,1),(97,1)}
        74:{1,3,5}:{(55,1),(94,1),(97,1),(144,1)}
        75:{2,3,4,7}:{(56,1),(96,1),(99,1),(132,1),(188,1)}
        76:{1,2,4,5,7}:{(56,1),(57,1),(97,1),(99,1),(100,1),(148,1),(150,1),(188,1)}
        77:{1,3,4,6}:{(57,1),(98,1),(100,1),(135,1),(179,1),(186,1),(200,1)}
        78:{1,2,3,5}:{(58,1),(90,1),(102,1),(142,1),(152,1)}
        79:{2,3,4}:{(58,1),(102,1)}
        80:{2,3,7}:{(59,1),(68,1)}
        81:{1,2,3,5,7}:{(60,1),(61,1),(63,1),(69,1),(104,1),(106,1),(111,1),(156,1),(158,1),(172,1),(198,1)}
        82:{2,4,7}:{(60,1),(62,1),(70,1)}
        83:{1,4,7}:{(61,1),(62,1),(71,1)}
        84:{3,4,5,7}:{(62,1),(66,1),(72,1),(107,1),(108,1),(109,1),(158,1)}
        85:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(73,1),(106,1),(110,1),(111,1),(159,1),(207,1)}
        86:{2,5,7}:{(64,1),(66,1),(112,1)}
        87:{1,3,5,7}:{(65,1),(66,1),(74,1),(108,1),(111,1),(113,1),(158,1)}
        88:{3,5,6}:{(66,1),(67,1),(109,1),(112,1)}
        89:{1,4,5,6,7}:{(67,1),(114,1),(161,1)}
        90:{1,2,3,6}:{(68,1),(78,1),(104,1),(115,1),(173,1)}
        91:{2,3,4,6}:{(68,1),(70,1),(79,1),(105,1),(115,1),(116,1),(117,1),(157,1)}
        92:{1,2,4,6}:{(69,1),(70,1),(71,1),(106,1),(117,1),(118,1),(171,1),(197,1)}
        93:{2,4,5}:{(70,1),(72,1),(116,1)}
        94:{1,4,5}:{(71,1),(72,1),(74,1)}
        95:{3,4,5,6}:{(72,1),(109,1),(119,1),(120,1),(121,1),(169,1)}
        96:{2,3,4,6}:{(73,1),(75,1),(117,1),(122,1),(125,1),(171,1)}
        97:{1,2,5}:{(73,1),(74,1),(122,1)}
        98:{1,3,5,6}:{(74,1),(77,1),(120,1),(123,1),(124,1),(169,1),(206,1)}
        99:{2,3,5,7}:{(75,1),(76,1),(122,1),(125,1),(158,1)}
       100:{1,2,4,6}:{(76,1),(77,1),(123,1),(125,1),(171,1)}
       101:{1,3,4,6,7}:{(77,1),(124,1),(126,1),(161,1),(194,1),(199,1),(207,1)}
       102:{1,2,4}:{(78,1),(79,1),(127,1)}
       103:{2,3,4,5}:{(79,1),(116,1),(128,1),(129,1),(168,1)}
       104:{1,2,3,7}:{(80,1),(90,1),(130,1),(189,1)}
       105:{2,3,4,7}:{(80,1),(82,1),(91,1),(130,1),(131,1),(132,1)}
       106:{1,2,4,7}:{(81,1),(82,1),(83,1),(92,1),(132,1),(188,1),(205,1)}
       107:{2,4,5,7}:{(82,1),(84,1),(86,1),(93,1),(131,1),(134,1)}
       108:{1,4,5,7}:{(83,1),(84,1),(87,1),(94,1),(135,1)}
       109:{3,4,6}:{(84,1),(88,1),(134,1),(135,1),(179,1)}
       110:{2,3,4,6,7}:{(85,1),(96,1),(132,1),(137,1),(151,1),(179,1),(181,1),(188,1),(203,1)}
       111:{1,2,5,7}:{(85,1),(86,1),(87,1),(97,1),(137,1),(138,1),(209,1)}
       112:{2,5,6}:{(86,1),(88,1),(134,1)}
       113:{1,3,5,6}:{(87,1),(88,1),(135,1),(138,1),(179,1)}
       114:{3,5,6,7}:{(88,1),(89,1),(136,1),(139,1)}
       115:{1,2,4,6}:{(90,1),(91,1),(102,1),(130,1),(141,1),(142,1),(176,1)}
       116:{2,3,5}:{(91,1),(93,1),(142,1),(144,1)}
       117:{3,4,6}:{(92,1),(132,1),(144,1),(179,1)}
       118:{1,2,4,5}:{(92,1),(93,1),(94,1),(97,1),(142,1),(144,1),(148,1),(183,1)}
       119:{2,4,5,6}:{(93,1),(95,1),(134,1),(143,1),(146,1)}
       120:{1,4,5,6}:{(94,1),(95,1),(98,1),(135,1),(147,1)}
       121:{3,4,5,7}:{(95,1),(136,1),(146,1),(147,1),(187,1)}
       122:{2,3,5}:{(96,1),(97,1),(144,1),(148,1)}
       123:{1,2,5,6}:{(97,1),(98,1),(100,1),(149,1),(150,1)}
       124:{1,3,5,7}:{(98,1),(101,1),(147,1),(150,1),(187,1),(209,1)}
       125:{2,3,6}:{(99,1),(100,1),(179,1)}
       126:{1,2,4,6,7}:{(100,1),(101,1),(150,1),(151,1),(188,1)}
       127:{1,3,4}:{(102,1),(152,1)}
       128:{1,2,4,5}:{(102,1),(103,1),(142,1),(152,1),(153,1),(183,1)}
       129:{2,3,4,6}:{(103,1),(143,1),(153,1),(154,1),(186,1)}
       130:{1,2,4,7}:{(104,1),(105,1),(115,1),(155,1),(156,1)}
       131:{2,3,5,7}:{(105,1),(107,1),(116,1),(156,1),(157,1),(158,1)}
       132:{3,4,7}:{(106,1),(117,1),(158,1)}
       133:{1,2,4,5,7}:{(106,1),(107,1),(108,1),(111,1),(118,1),(156,1),(158,1),(159,1),(162,1),(190,1)}
       134:{2,4,6}:{(107,1),(109,1),(112,1),(157,1)}
       135:{1,4,6}:{(108,1),(109,1),(113,1)}
       136:{3,4,6,7}:{(109,1),(114,1),(121,1),(160,1),(161,1),(194,1)}
       137:{2,3,5,7}:{(110,1),(111,1),(122,1),(158,1),(162,1),(163,1),(208,1)}
       138:{1,2,5,6}:{(111,1),(112,1),(113,1),(159,1),(163,1),(206,1)}
       139:{2,5,6,7}:{(112,1),(114,1),(160,1)}
       140:{1,3,5,6,7}:{(113,1),(114,1),(124,1),(161,1),(164,1),(194,1)}
       141:{1,3,4,6}:{(115,1),(117,1),(127,1),(155,1),(165,1),(173,1),(191,1),(197,1)}
       142:{1,2,5}:{(115,1),(116,1),(165,1)}
       143:{2,3,5,6}:{(116,1),(119,1),(129,1),(157,1),(166,1),(167,1),(169,1)}
       144:{3,5}:{(117,1),(118,1)}
       145:{1,2,4,5,6}:{(118,1),(119,1),(120,1),(123,1),(159,1),(166,1),(169,1),(170,1),(171,1),(195,1),(197,1),(206,1)}
       146:{2,4,5,7}:{(119,1),(121,1),(160,1),(167,1)}
       147:{1,4,5,7}:{(120,1),(121,1),(124,1),(161,1)}
       148:{2,4,5}:{(122,1),(168,1),(171,1)}
       149:{2,3,5,6}:{(122,1),(123,1),(125,1),(169,1),(171,1),(172,1)}
       150:{1,2,5,7}:{(123,1),(124,1),(126,1),(172,1)}
       151:{2,3,6,7}:{(125,1),(126,1),(172,1),(194,1)}
       152:{1,3,5}:{(127,1),(128,1),(173,1)}
       153:{1,2,4,6}:{(128,1),(129,1),(166,1),(173,1),(174,1),(197,1)}
       154:{2,3,4,7}:{(129,1),(167,1),(174,1),(199,1)}
       155:{1,3,4,7}:{(130,1),(132,1),(141,1),(175,1),(189,1),(205,1)}
       156:{1,2,5,7}:{(130,1),(131,1),(142,1),(175,1),(176,1)}
       157:{2,3,6}:{(131,1),(134,1),(176,1),(179,1)}
       158:{3,5,7}:{(132,1),(133,1),(144,1),(179,1)}
       159:{1,2,4,6}:{(133,1),(134,1),(135,1),(138,1),(176,1),(179,1),(181,1),(200,1)}
       160:{2,4,6,7}:{(134,1),(136,1),(139,1),(146,1),(177,1)}
       161:{1,4,6,7}:{(135,1),(136,1),(140,1),(147,1)}
       162:{2,4,5,7}:{(137,1),(148,1),(178,1),(181,1),(188,1)}
       163:{2,3,5,6}:{(137,1),(138,1),(179,1),(181,1),(202,1)}
       164:{1,2,5,6,7}:{(138,1),(139,1),(140,1),(150,1),(180,1),(182,1),(209,1)}
       165:{1,3,5}:{(141,1),(142,1),(144,1),(183,1)}
       166:{1,2,5,6}:{(142,1),(143,1),(153,1),(176,1),(184,1),(185,1)}
       167:{2,3,5,7}:{(143,1),(146,1),(154,1),(177,1),(185,1),(187,1)}
       168:{3,4,5}:{(144,1),(148,1),(183,1),(186,1)}
       169:{3,5,6}:{(144,1),(145,1),(179,1),(186,1),(187,1)}
       170:{1,2,4,5,7}:{(145,1),(146,1),(147,1),(150,1),(180,1),(185,1),(187,1),(188,1),(204,1),(205,1),(209,1)}
       171:{2,4,6}:{(148,1),(149,1),(186,1),(188,1)}
       172:{2,3,5,7}:{(149,1),(150,1),(151,1),(187,1),(188,1)}
       173:{1,3,6}:{(152,1),(153,1),(189,1)}
       174:{1,2,4,7}:{(153,1),(154,1),(185,1),(189,1),(205,1)}
       175:{1,3,5,7}:{(155,1),(156,1),(158,1),(165,1),(190,1),(191,1)}
       176:{1,2,6}:{(156,1),(157,1),(191,1)}
       177:{2,3,6,7}:{(157,1),(160,1),(167,1),(192,1),(194,1)}
       178:{3,4,5,7}:{(158,1),(162,1),(168,1),(190,1),(193,1),(199,1),(208,1)}
       179:{3,6}:{(158,1),(159,1)}
       180:{1,2,4,6,7}:{(159,1),(160,1),(161,1),(164,1),(170,1),(192,1),(194,1),(196,1),(207,1)}
       181:{2,4,6}:{(162,1),(163,1),(193,1)}
       182:{2,3,5,6,7}:{(163,1),(164,1),(172,1),(194,1),(196,1),(208,1)}
       183:{1,4,5}:{(165,1),(168,1),(197,1)}
       184:{1,3,5,6}:{(165,1),(166,1),(169,1),(173,1),(191,1),(197,1),(198,1),(206,1)}
       185:{1,2,5,7}:{(166,1),(167,1),(174,1),(192,1),(198,1)}
       186:{3,4,6}:{(168,1),(169,1),(171,1),(197,1),(199,1)}
       187:{3,5,7}:{(169,1),(170,1),(194,1),(199,1)}
       188:{2,4,7}:{(171,1),(172,1),(199,1)}
       189:{1,3,7}:{(173,1),(174,1)}
       190:{1,4,5,7}:{(175,1),(178,1),(183,1),(200,1),(205,1),(209,1)}
       191:{1,3,6}:{(175,1),(176,1),(179,1),(200,1)}
       192:{1,2,6,7}:{(176,1),(177,1),(185,1),(201,1)}
       193:{3,4,6}:{(178,1),(179,1),(181,1),(200,1),(202,1)}
       194:{3,6,7}:{(179,1),(180,1),(187,1)}
       195:{2,4,5,6}:{(181,1),(202,1),(204,1)}
       196:{2,4,6,7}:{(181,1),(182,1),(188,1),(203,1),(204,1)}
       197:{1,4,6}:{(183,1),(184,1),(186,1),(205,1)}
       198:{1,3,5,7}:{(184,1),(185,1),(187,1),(189,1),(201,1),(205,1),(209,1)}
       199:{3,4,7}:{(186,1),(187,1),(188,1),(205,1)}
       200:{1,4,6}:{(190,1),(191,1),(193,1),(206,1)}
       201:{1,3,6,7}:{(191,1),(192,1),(194,1),(198,1),(207,1)}
       202:{3,5,6}:{(193,1),(195,1),(206,1),(208,1)}
       203:{3,4,6,7}:{(193,1),(194,1),(196,1),(199,1),(207,1),(208,1)}
       204:{2,4,5,7}:{(195,1),(196,1),(208,1)}
       205:{1,4,7}:{(197,1),(198,1),(199,1)}
       206:{1,5,6}:{(200,1),(202,1),(209,1)}
       207:{1,4,6,7}:{(200,1),(201,1),(203,1),(205,1),(209,1)}
       208:{3,5,7}:{(202,1),(203,1),(204,1),(209,1)}
       209:{1,5,7}:{(206,1),(207,1),(208,1)}

1658 :   0:{2,3,4,5,7}:{(1,1),(2,1),(10,1),(38,1),(76,1),(80,1),(87,1),(122,1),(125,1),(130,1)}
         1:{1,2,4,5,7}:{(0,1),(4,1),(5,1),(20,1),(22,1),(53,1),(59,1),(63,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(64,1),(147,1),(150,1),(155,1)}
         3:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(17,1),(48,1),(76,1),(93,1)}
         4:{1,3,5,7}:{(1,1),(12,1),(13,1),(43,1),(125,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(13,1),(14,1),(44,1)}
         6:{2,3,5,6}:{(2,1),(10,1),(14,1),(15,1),(45,1),(80,1),(145,1)}
         7:{2,3,5,6,7}:{(10,1),(16,1),(17,1),(18,1),(48,1),(121,1)}
         8:{2,4,5,6,7}:{(17,1),(18,1),(169,1)}
         9:{1,2,4,6,7}:{(3,1),(5,1),(19,1),(20,1),(53,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(20,1),(21,1),(54,1),(120,1)}
        11:{1,2,3,5,7}:{(4,1),(22,1),(23,1),(56,1),(59,1)}
        12:{1,3,4,7}:{(4,1),(22,1),(25,1),(53,1),(98,1)}
        13:{1,3,6}:{(4,1),(5,1),(150,1)}
        14:{1,2,5,6}:{(5,1),(6,1),(20,1),(26,1),(59,1)}
        15:{2,4,5,6}:{(6,1),(21,1),(28,1),(107,1),(147,1)}
        16:{1,2,5,6,7}:{(7,1),(20,1),(29,1),(30,1),(32,1),(96,1),(120,1)}
        17:{2,4,6,7}:{(7,1),(21,1),(31,1),(147,1)}
        18:{3,5,6,7}:{(8,1),(31,1),(32,1),(189,1)}
        19:{1,3,6,7}:{(9,1),(13,1),(35,1),(48,1)}
        20:{1,2,5,7}:{(9,1),(10,1),(14,1),(35,1)}
        21:{2,4,5,7}:{(10,1),(15,1),(17,1),(37,1)}
        22:{1,2,4,7}:{(11,1),(12,1),(38,1),(40,1)}
        23:{1,2,3,6}:{(11,1),(13,1),(40,1),(79,1)}
        24:{1,3,4,5,7}:{(12,1),(39,1),(42,1),(43,1),(75,1),(85,1),(125,1),(134,1),(172,1),(179,1)}
        25:{1,3,4,6}:{(12,1),(13,1),(40,1),(43,1),(44,1),(84,1)}
        26:{1,3,5,6}:{(13,1),(14,1),(35,1),(43,1),(44,1),(45,1)}
        27:{1,2,4,5,6}:{(14,1),(15,1),(36,1),(44,1),(45,1),(46,1),(83,1),(89,1),(90,1),(91,1),(124,1),(145,1)}
        28:{3,4,5,6}:{(15,1),(37,1),(45,1),(46,1),(134,1),(171,1)}
        29:{1,3,5,6,7}:{(16,1),(35,1),(47,1),(48,1),(74,1),(92,1)}
        30:{1,2,4,6,7}:{(16,1),(17,1),(36,1),(47,1),(48,1),(49,1),(93,1),(94,1),(124,1)}
        31:{3,4,6,7}:{(17,1),(18,1),(37,1),(48,1),(49,1),(171,1)}
        32:{1,5,6,7}:{(18,1),(49,1),(202,1)}
        33:{1,2,3,6,7}:{(19,1),(23,1),(50,1),(51,1),(70,1),(105,1),(150,1),(192,1),(194,1)}
        34:{1,3,4,6,7}:{(19,1),(25,1),(50,1),(52,1),(53,1),(68,1),(98,1),(100,1),(150,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(26,1),(53,1),(54,1)}
        36:{1,2,4,5,7}:{(20,1),(21,1),(27,1),(30,1),(53,1),(54,1),(55,1),(67,1),(103,1),(104,1),(120,1)}
        37:{3,4,5,7}:{(21,1),(28,1),(31,1),(54,1),(55,1)}
        38:{2,3,4,7}:{(22,1),(56,1),(57,1),(98,1),(157,1)}
        39:{1,2,4,5,7}:{(22,1),(24,1),(56,1),(58,1),(59,1),(107,1),(108,1),(157,1)}
        40:{1,2,4,6}:{(22,1),(23,1),(25,1),(57,1),(59,1)}
        41:{1,2,3,5,6}:{(23,1),(26,1),(51,1),(59,1),(60,1),(66,1),(96,1),(106,1),(110,1),(150,1),(162,1),(164,1),(165,1),(194,1)}
        42:{1,3,4,6}:{(24,1),(58,1),(62,1),(100,1),(150,1),(158,1),(191,1)}
        43:{1,3,5}:{(25,1),(59,1),(63,1),(110,1)}
        44:{1,4,6}:{(26,1),(53,1),(63,1),(64,1)}
        45:{3,5,6}:{(27,1),(54,1),(64,1),(110,1),(150,1)}
        46:{1,4,5,6}:{(28,1),(55,1),(65,1),(159,1),(191,1)}
        47:{1,4,6,7}:{(29,1),(53,1),(67,1),(68,1),(100,1)}
        48:{3,6,7}:{(30,1),(54,1),(150,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(55,1),(69,1),(191,1)}
        50:{1,2,4,6,7}:{(33,1),(34,1),(40,1),(71,1),(72,1),(73,1),(93,1),(124,1),(203,1)}
        51:{1,2,3,5,7}:{(33,1),(35,1),(41,1),(72,1),(73,1),(78,1),(125,1),(132,1),(176,1),(177,1),(183,1)}
        52:{1,3,5,7}:{(34,1),(43,1),(72,1),(74,1),(75,1),(92,1),(125,1)}
        53:{1,4,7}:{(35,1),(44,1),(76,1)}
        54:{3,5,7}:{(36,1),(45,1),(48,1),(76,1)}
        55:{1,4,5,7}:{(37,1),(46,1),(49,1),(77,1)}
        56:{2,3,5,7}:{(38,1),(39,1),(79,1),(80,1),(125,1)}
        57:{2,3,4,6}:{(38,1),(40,1),(79,1),(80,1),(84,1),(133,1)}
        58:{1,2,4,6}:{(39,1),(42,1),(79,1),(82,1),(133,1)}
        59:{1,2,5}:{(40,1),(43,1),(80,1)}
        60:{1,2,4,6}:{(41,1),(44,1),(73,1),(83,1),(84,1),(89,1),(133,1),(180,1)}
        61:{1,3,4,6,7}:{(42,1),(81,1),(85,1),(128,1),(173,1),(179,1),(203,1)}
        62:{1,3,5,6}:{(42,1),(43,1),(82,1),(85,1),(86,1),(136,1),(202,1)}
        63:{1,4,5}:{(43,1),(44,1),(87,1)}
        64:{3,4,6}:{(44,1),(45,1),(76,1),(87,1),(89,1)}
        65:{1,3,5,6}:{(45,1),(46,1),(77,1),(88,1),(90,1),(137,1),(174,1)}
        66:{2,3,5,6}:{(45,1),(78,1),(89,1),(90,1),(138,1),(143,1),(145,1),(175,1)}
        67:{1,4,5,7}:{(47,1),(91,1),(92,1)}
        68:{3,4,6,7}:{(47,1),(48,1),(76,1),(92,1),(93,1),(129,1)}
        69:{1,3,6,7}:{(48,1),(49,1),(77,1),(94,1),(174,1)}
        70:{2,3,6,7}:{(48,1),(78,1),(93,1),(94,1),(175,1)}
        71:{2,3,4,6,7}:{(50,1),(57,1),(95,1),(98,1),(105,1),(147,1),(150,1),(157,1),(190,1)}
        72:{1,2,5,7}:{(50,1),(52,1),(59,1),(95,1),(96,1),(120,1),(208,1)}
        73:{1,2,4,7}:{(51,1),(53,1),(60,1),(98,1),(103,1),(157,1),(195,1)}
        74:{1,3,5,6}:{(52,1),(96,1),(100,1),(119,1),(150,1)}
        75:{1,4,5,7}:{(52,1),(53,1),(63,1),(100,1),(101,1)}
        76:{3,4,7}:{(53,1),(54,1),(64,1),(103,1)}
        77:{1,3,5,7}:{(54,1),(55,1),(65,1),(69,1),(102,1),(104,1)}
        78:{2,3,5,7}:{(54,1),(66,1),(70,1),(103,1),(104,1),(120,1),(156,1)}
        79:{2,3,6}:{(56,1),(58,1),(150,1)}
        80:{2,3,5}:{(57,1),(59,1),(107,1),(110,1)}
        81:{1,2,4,6,7}:{(58,1),(61,1),(105,1),(108,1),(157,1)}
        82:{1,2,5,6}:{(58,1),(59,1),(62,1),(106,1),(108,1)}
        83:{1,2,4,5}:{(59,1),(60,1),(63,1),(107,1),(110,1),(116,1),(159,1),(164,1)}
        84:{3,4,6}:{(60,1),(98,1),(110,1),(150,1)}
        85:{1,3,5,7}:{(61,1),(62,1),(108,1),(113,1),(161,1),(208,1)}
        86:{1,4,5,6}:{(62,1),(63,1),(100,1),(113,1),(114,1)}
        87:{3,4,5}:{(63,1),(64,1),(110,1),(116,1)}
        88:{1,3,4,6}:{(64,1),(65,1),(102,1),(115,1),(117,1)}
        89:{2,4,6}:{(64,1),(66,1),(103,1),(116,1)}
        90:{1,2,5,6}:{(65,1),(66,1),(104,1),(117,1),(164,1),(194,1)}
        91:{1,4,5,6}:{(67,1),(100,1),(119,1)}
        92:{3,5,7}:{(67,1),(68,1),(119,1),(120,1)}
        93:{2,4,6,7}:{(68,1),(70,1),(103,1),(120,1),(155,1)}
        94:{1,2,6,7}:{(69,1),(70,1),(104,1),(194,1)}
        95:{2,3,5,7}:{(71,1),(72,1),(80,1),(121,1),(122,1),(125,1),(201,1)}
        96:{1,2,5,6}:{(72,1),(74,1),(121,1),(124,1),(145,1),(202,1)}
        97:{1,2,4,5,7}:{(72,1),(73,1),(75,1),(83,1),(122,1),(124,1),(125,1),(130,1),(172,1),(176,1)}
        98:{3,4,7}:{(73,1),(84,1),(125,1)}
        99:{1,3,5,6,7}:{(74,1),(85,1),(123,1),(128,1),(144,1),(173,1)}
       100:{1,4,6}:{(74,1),(75,1),(129,1)}
       101:{3,4,5,7}:{(75,1),(76,1),(87,1),(92,1),(125,1),(129,1),(130,1)}
       102:{1,3,4,7}:{(76,1),(77,1),(88,1),(131,1)}
       103:{2,4,7}:{(76,1),(78,1),(89,1)}
       104:{1,2,5,7}:{(77,1),(78,1),(90,1),(94,1),(131,1)}
       105:{2,3,6,7}:{(79,1),(81,1),(132,1),(173,1)}
       106:{2,3,5,6}:{(79,1),(80,1),(82,1),(132,1),(133,1),(136,1)}
       107:{2,4,5}:{(80,1),(133,1),(134,1)}
       108:{1,2,5,7}:{(81,1),(82,1),(85,1),(132,1)}
       109:{1,2,4,5,6}:{(82,1),(83,1),(86,1),(124,1),(133,1),(135,1),(136,1),(141,1),(169,1),(180,1),(185,1),(202,1)}
       110:{3,5}:{(83,1),(84,1)}
       111:{1,3,4,6}:{(84,1),(126,1),(137,1),(139,1),(174,1),(180,1),(206,1),(207,1)}
       112:{2,3,4,6}:{(84,1),(89,1),(127,1),(138,1),(139,1),(143,1),(175,1),(187,1)}
       113:{1,4,5,7}:{(85,1),(86,1),(128,1),(140,1)}
       114:{3,4,5,6}:{(86,1),(87,1),(129,1),(136,1),(140,1),(141,1)}
       115:{1,3,4,5}:{(87,1),(88,1),(137,1),(142,1),(207,1)}
       116:{2,4,5}:{(87,1),(89,1),(138,1)}
       117:{1,2,4,6}:{(88,1),(89,1),(90,1),(131,1),(142,1),(143,1)}
       118:{1,4,5,6,7}:{(91,1),(128,1),(144,1)}
       119:{3,5,6}:{(91,1),(92,1),(129,1),(145,1)}
       120:{2,5,7}:{(92,1),(93,1),(145,1)}
       121:{2,3,5,6}:{(95,1),(96,1),(147,1),(150,1),(189,1)}
       122:{2,4,5,7}:{(95,1),(107,1),(147,1),(148,1),(157,1)}
       123:{1,2,5,6,7}:{(96,1),(99,1),(108,1),(146,1),(149,1),(168,1),(208,1)}
       124:{1,2,4,6}:{(96,1),(97,1),(100,1),(147,1),(150,1),(155,1),(191,1),(194,1)}
       125:{3,5,7}:{(97,1),(98,1),(110,1),(150,1)}
       126:{1,3,4,7}:{(98,1),(111,1),(151,1),(153,1),(195,1),(209,1)}
       127:{2,3,4,7}:{(98,1),(103,1),(112,1),(152,1),(153,1),(156,1)}
       128:{1,4,6,7}:{(99,1),(100,1),(113,1),(154,1)}
       129:{3,4,6}:{(100,1),(101,1),(119,1),(150,1),(155,1)}
       130:{2,4,5,7}:{(101,1),(103,1),(116,1),(120,1),(152,1),(155,1)}
       131:{1,2,4,7}:{(102,1),(103,1),(104,1),(117,1),(156,1)}
       132:{2,3,5,7}:{(105,1),(106,1),(108,1),(157,1),(161,1)}
       133:{2,4,6}:{(106,1),(107,1),(157,1),(158,1)}
       134:{3,4,5}:{(107,1),(110,1),(158,1),(159,1)}
       135:{1,2,4,5,7}:{(108,1),(109,1),(113,1),(149,1),(157,1),(161,1),(166,1),(188,1),(195,1),(199,1),(208,1)}
       136:{3,5,6}:{(109,1),(110,1),(150,1),(158,1),(161,1)}
       137:{1,3,5}:{(110,1),(111,1),(159,1),(164,1)}
       138:{2,3,5}:{(110,1),(112,1),(116,1),(164,1)}
       139:{1,2,4,6}:{(111,1),(112,1),(153,1),(164,1),(165,1),(194,1),(200,1)}
       140:{3,4,5,7}:{(113,1),(114,1),(154,1),(161,1),(166,1)}
       141:{2,4,5,6}:{(114,1),(116,1),(155,1),(163,1),(166,1)}
       142:{1,2,4,5}:{(115,1),(116,1),(117,1),(164,1),(167,1),(200,1)}
       143:{2,3,6}:{(117,1),(156,1),(167,1)}
       144:{3,5,6,7}:{(118,1),(119,1),(154,1),(168,1)}
       145:{2,5,6}:{(119,1),(120,1),(155,1)}
       146:{2,3,5,6,7}:{(121,1),(123,1),(132,1),(170,1),(173,1),(201,1)}
       147:{2,4,6}:{(121,1),(122,1),(171,1)}
       148:{3,4,5,7}:{(122,1),(125,1),(134,1),(171,1),(172,1),(179,1),(201,1)}
       149:{1,2,4,6,7}:{(123,1),(124,1),(128,1),(135,1),(170,1),(173,1),(178,1),(203,1),(204,1)}
       150:{3,6}:{(124,1),(125,1)}
       151:{1,3,5,7}:{(125,1),(126,1),(137,1),(172,1),(174,1),(176,1)}
       152:{2,3,5,7}:{(125,1),(127,1),(130,1),(138,1),(175,1),(176,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(139,1),(176,1),(177,1)}
       154:{3,4,6,7}:{(128,1),(129,1),(140,1),(144,1),(173,1),(178,1)}
       155:{2,4,6}:{(129,1),(130,1),(145,1),(175,1)}
       156:{2,3,7}:{(131,1),(143,1)}
       157:{2,4,7}:{(132,1),(133,1),(179,1)}
       158:{3,4,6}:{(133,1),(134,1),(136,1),(179,1),(180,1)}
       159:{1,4,5}:{(134,1),(137,1),(180,1)}
       160:{2,3,4,5}:{(134,1),(138,1),(181,1),(182,1),(187,1)}
       161:{3,5,7}:{(135,1),(136,1),(173,1),(179,1)}
       162:{1,3,5,6}:{(136,1),(137,1),(174,1),(180,1),(183,1),(185,1),(202,1),(206,1)}
       163:{2,3,5,6}:{(136,1),(138,1),(141,1),(175,1),(181,1),(184,1),(185,1)}
       164:{1,2,5}:{(137,1),(138,1),(139,1)}
       165:{1,2,3,6}:{(139,1),(143,1),(177,1),(186,1),(206,1)}
       166:{2,4,5,7}:{(140,1),(141,1),(178,1),(184,1)}
       167:{2,3,5}:{(142,1),(143,1),(187,1)}
       168:{2,5,6,7}:{(144,1),(145,1),(178,1)}
       169:{2,4,5,6}:{(147,1),(188,1),(189,1)}
       170:{2,4,6,7}:{(146,1),(147,1),(157,1),(188,1),(190,1)}
       171:{3,4,6}:{(147,1),(148,1),(150,1),(189,1),(191,1)}
       172:{1,4,5,7}:{(148,1),(151,1),(159,1),(191,1),(195,1),(208,1)}
       173:{3,6,7}:{(149,1),(150,1),(161,1)}
       174:{1,3,6}:{(150,1),(151,1),(191,1),(194,1)}
       175:{2,3,6}:{(150,1),(152,1),(155,1),(194,1)}
       176:{1,2,5,7}:{(151,1),(152,1),(153,1),(164,1),(194,1)}
       177:{1,2,3,7}:{(153,1),(156,1),(165,1),(209,1)}
       178:{2,4,6,7}:{(154,1),(155,1),(166,1),(168,1),(193,1)}
       179:{3,4,7}:{(157,1),(158,1),(161,1),(195,1)}
       180:{1,4,6}:{(158,1),(159,1),(162,1),(195,1)}
       181:{2,3,4,6}:{(158,1),(160,1),(163,1),(196,1),(197,1)}
       182:{1,2,4,5}:{(159,1),(160,1),(164,1),(197,1),(198,1),(200,1)}
       183:{1,3,5,7}:{(161,1),(162,1),(192,1),(195,1),(199,1),(208,1),(209,1)}
       184:{2,3,5,7}:{(161,1),(163,1),(166,1),(193,1),(196,1),(199,1)}
       185:{1,2,5,6}:{(162,1),(163,1),(164,1),(194,1),(197,1),(199,1)}
       186:{1,2,3,5}:{(164,1),(165,1),(167,1),(198,1),(200,1)}
       187:{2,3,4}:{(167,1),(200,1)}
       188:{2,4,5,7}:{(169,1),(170,1),(201,1)}
       189:{3,5,6}:{(169,1),(171,1),(201,1),(202,1)}
       190:{3,4,6,7}:{(170,1),(171,1),(173,1),(179,1),(201,1),(203,1)}
       191:{1,4,6}:{(171,1),(172,1),(174,1),(202,1)}
       192:{1,3,6,7}:{(173,1),(174,1),(183,1),(203,1),(204,1)}
       193:{2,3,6,7}:{(173,1),(175,1),(178,1),(184,1),(204,1)}
       194:{1,2,6}:{(174,1),(175,1),(176,1)}
       195:{1,4,7}:{(179,1),(180,1),(183,1)}
       196:{2,3,4,7}:{(179,1),(181,1),(184,1),(205,1)}
       197:{1,2,4,6}:{(180,1),(181,1),(182,1),(185,1),(205,1),(206,1)}
       198:{1,3,5}:{(182,1),(206,1),(207,1)}
       199:{1,2,5,7}:{(183,1),(184,1),(185,1),(204,1),(205,1)}
       200:{1,2,4}:{(186,1),(187,1),(207,1)}
       201:{3,5,7}:{(188,1),(189,1),(190,1),(208,1)}
       202:{1,5,6}:{(189,1),(191,1),(208,1)}
       203:{1,4,6,7}:{(190,1),(191,1),(192,1),(195,1),(208,1)}
       204:{1,2,6,7}:{(192,1),(193,1),(194,1),(199,1)}
       205:{1,2,4,7}:{(195,1),(196,1),(197,1),(199,1),(209,1)}
       206:{1,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,3,4}:{(198,1),(200,1)}
       208:{1,5,7}:{(201,1),(202,1),(203,1)}
       209:{1,3,7}:{(205,1),(206,1)}

1659 :   0:{1,2,3,6,7}:{(2,1),(3,1),(36,1),(44,1),(80,1),(81,1),(82,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(4,1),(13,1),(17,1),(37,1),(44,1),(49,1),(81,1),(99,1),(104,1)}
         2:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(23,1),(26,1),(54,1),(61,1),(93,1),(94,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(7,1),(8,1),(27,1),(56,1),(67,1),(86,1),(95,1),(103,1)}
         4:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(26,1),(57,1),(66,1)}
         5:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(34,1),(38,1),(44,1),(71,1),(82,1),(100,1),(104,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(15,1),(36,1),(39,1),(44,1),(76,1),(77,1),(78,1),(80,1)}
         7:{1,2,4,7}:{(2,1),(12,1),(13,1),(72,1),(99,1),(100,1)}
         8:{1,2,5,7}:{(3,1),(4,1),(11,1),(15,1),(76,1),(83,1),(96,1)}
         9:{2,4,5,7}:{(4,1),(16,1),(17,1),(73,1),(99,1)}
        10:{2,3,5,6}:{(4,1),(15,1),(17,1),(44,1),(46,1)}
        11:{1,3,5,7}:{(5,1),(8,1),(19,1),(20,1),(26,1),(58,1),(85,1)}
        12:{1,2,4,6}:{(6,1),(7,1),(21,1),(22,1),(89,1),(90,1)}
        13:{3,4,7}:{(7,1),(21,1),(26,1),(87,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(19,1),(22,1),(26,1),(27,1),(30,1),(51,1),(61,1),(88,1),(103,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(20,1),(27,1),(65,1),(84,1)}
        16:{3,4,5,7}:{(9,1),(26,1),(30,1),(31,1),(55,1),(66,1),(91,1)}
        17:{2,4,6}:{(9,1),(10,1),(31,1)}
        18:{2,3,5,6,7}:{(10,1),(28,1),(32,1),(64,1),(66,1),(93,1)}
        19:{1,4,5,7}:{(11,1),(33,1),(34,1),(74,1),(100,1)}
        20:{1,3,5,6}:{(11,1),(15,1),(34,1),(44,1),(68,1)}
        21:{3,4,6}:{(12,1),(13,1),(39,1),(44,1)}
        22:{1,2,4,5}:{(12,1),(39,1),(73,1),(74,1),(76,1)}
        23:{1,2,3,7}:{(36,1),(41,1),(104,1)}
        24:{2,3,4,7}:{(13,1),(37,1),(41,1),(42,1),(99,1),(104,1)}
        25:{1,3,4,7}:{(13,1),(38,1),(41,1),(43,1),(100,1),(104,1)}
        26:{3,5,7}:{(13,1),(14,1),(39,1),(44,1),(97,1),(104,1)}
        27:{1,2,4,6}:{(14,1),(15,1),(17,1),(34,1),(44,1),(48,1),(70,1),(80,1)}
        28:{1,2,5,6,7}:{(15,1),(18,1),(35,1),(45,1),(83,1),(96,1),(101,1)}
        29:{2,4,5,6}:{(17,1),(46,1),(47,1)}
        30:{1,4,5,7}:{(16,1),(43,1),(48,1),(74,1),(83,1),(100,1)}
        31:{3,4,6}:{(16,1),(17,1),(44,1),(46,1),(48,1)}
        32:{2,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(99,1)}
        33:{3,4,5,7}:{(19,1),(26,1),(51,1),(52,1),(55,1),(85,1),(91,1)}
        34:{1,4,6}:{(19,1),(20,1),(52,1)}
        35:{1,3,5,6,7}:{(20,1),(28,1),(53,1),(64,1),(85,1),(94,1)}
        36:{1,2,3,6}:{(23,1),(54,1),(56,1),(102,1)}
        37:{2,3,4,6}:{(21,1),(24,1),(56,1),(57,1),(62,1),(87,1),(89,1),(102,1)}
        38:{1,3,4,6}:{(21,1),(25,1),(56,1),(58,1),(63,1),(87,1),(90,1),(102,1)}
        39:{3,5}:{(21,1),(22,1)}
        40:{1,2,4,5,6}:{(22,1),(27,1),(29,1),(50,1),(59,1),(60,1),(65,1),(84,1),(89,1),(90,1),(92,1)}
        41:{1,2,4,7}:{(23,1),(24,1),(25,1),(56,1),(61,1)}
        42:{2,3,5,7}:{(24,1),(26,1),(51,1),(57,1),(61,1),(62,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(30,1),(58,1),(61,1),(63,1)}
        44:{3,6}:{(26,1),(27,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(32,1),(53,1),(60,1),(64,1),(67,1),(86,1),(95,1),(103,1)}
        46:{3,5,6}:{(29,1),(31,1),(65,1),(66,1)}
        47:{2,4,5,7}:{(29,1),(32,1),(66,1)}
        48:{1,4,6}:{(30,1),(31,1),(63,1),(65,1)}
        49:{3,4,6,7}:{(31,1),(32,1),(64,1),(66,1),(67,1),(91,1)}
        50:{1,4,5,6}:{(34,1),(68,1),(69,1)}
        51:{2,4,5,7}:{(33,1),(42,1),(70,1),(73,1),(96,1),(99,1)}
        52:{3,4,6}:{(33,1),(34,1),(44,1),(68,1),(70,1)}
        53:{1,4,6,7}:{(34,1),(35,1),(69,1),(71,1),(100,1)}
        54:{1,2,3,5}:{(36,1),(72,1),(76,1),(97,1)}
        55:{3,4,5}:{(39,1),(73,1),(74,1),(75,1),(97,1)}
        56:{1,2,4,6}:{(36,1),(37,1),(38,1),(41,1),(72,1),(76,1),(80,1)}
        57:{2,3,5}:{(37,1),(39,1),(73,1),(76,1),(97,1)}
        58:{1,3,5}:{(38,1),(39,1),(74,1),(76,1),(97,1)}
        59:{3,5,6}:{(39,1),(40,1),(44,1),(75,1),(79,1)}
        60:{1,2,4,5,7}:{(40,1),(45,1),(47,1),(69,1),(79,1),(83,1),(96,1),(99,1),(100,1),(101,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(43,1),(76,1),(80,1)}
        62:{2,3,6}:{(42,1),(44,1),(70,1),(80,1)}
        63:{1,3,6}:{(43,1),(44,1),(48,1),(80,1)}
        64:{3,6,7}:{(44,1),(45,1),(79,1),(104,1)}
        65:{1,5,6}:{(46,1),(48,1),(83,1)}
        66:{3,5,7}:{(46,1),(47,1),(49,1),(83,1)}
        67:{1,4,6,7}:{(48,1),(49,1),(82,1),(83,1),(100,1)}
        68:{3,5,6}:{(50,1),(52,1),(84,1),(85,1)}
        69:{1,4,5,7}:{(50,1),(53,1),(85,1)}
        70:{2,4,6}:{(51,1),(52,1),(62,1),(84,1)}
        71:{3,4,6,7}:{(52,1),(53,1),(64,1),(85,1),(86,1),(91,1)}
        72:{1,2,4}:{(54,1),(87,1)}
        73:{2,4,5}:{(55,1),(57,1),(89,1)}
        74:{1,4,5}:{(55,1),(58,1),(90,1)}
        75:{3,4,6}:{(55,1),(59,1),(89,1),(90,1),(91,1),(102,1)}
        76:{1,2,5}:{(56,1),(57,1),(58,1)}
        77:{2,3,5,6}:{(57,1),(59,1),(62,1),(84,1),(89,1),(92,1),(93,1),(102,1)}
        78:{1,3,5,6}:{(58,1),(59,1),(63,1),(65,1),(90,1),(92,1),(94,1),(102,1)}
        79:{3,5,7}:{(59,1),(60,1),(64,1),(91,1)}
        80:{1,2,6}:{(61,1),(62,1),(63,1)}
        81:{2,3,6,7}:{(62,1),(64,1),(86,1),(93,1),(95,1)}
        82:{1,3,6,7}:{(63,1),(64,1),(67,1),(94,1),(95,1)}
        83:{1,5,7}:{(65,1),(66,1),(67,1)}
        84:{2,5,6}:{(68,1),(70,1),(96,1)}
        85:{3,5,7}:{(68,1),(69,1),(71,1),(96,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(81,1),(96,1),(99,1)}
        87:{3,4}:{(72,1),(97,1)}
        88:{1,2,4,5}:{(72,1),(73,1),(74,1),(76,1),(97,1),(98,1)}
        89:{2,4,6}:{(73,1),(75,1),(77,1),(99,1)}
        90:{1,4,6}:{(74,1),(75,1),(78,1),(100,1)}
        91:{3,4,7}:{(75,1),(79,1),(99,1),(100,1),(104,1)}
        92:{1,2,5,6}:{(76,1),(77,1),(78,1),(80,1),(98,1),(101,1)}
        93:{2,3,5,7}:{(77,1),(79,1),(81,1),(96,1),(99,1),(101,1),(104,1)}
        94:{1,3,5,7}:{(78,1),(79,1),(82,1),(83,1),(100,1),(101,1),(104,1)}
        95:{1,2,6,7}:{(80,1),(81,1),(82,1),(101,1)}
        96:{2,5,7}:{(84,1),(85,1),(86,1)}
        97:{3,5}:{(87,1),(88,1),(102,1)}
        98:{1,2,4,6}:{(88,1),(89,1),(90,1),(92,1),(102,1),(103,1)}
        99:{2,4,7}:{(89,1),(91,1),(93,1)}
       100:{1,4,7}:{(90,1),(91,1),(94,1)}
       101:{1,2,5,7}:{(92,1),(93,1),(94,1),(95,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1660 :   0:{1,2,3,6,7}:{(2,1),(3,1),(42,1),(73,1),(79,1),(80,1),(81,1),(104,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(35,1),(42,1),(46,1),(80,1),(95,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(8,1),(25,1),(53,1),(65,1),(92,1),(93,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(26,1),(63,1),(64,1),(86,1),(87,1),(89,1)}
         4:{2,3,5,7}:{(1,1),(7,1),(9,1),(10,1),(26,1),(52,1),(54,1)}
         5:{1,2,3,5,6}:{(3,1),(11,1),(13,1),(33,1),(42,1),(70,1),(71,1),(72,1),(73,1),(81,1)}
         6:{1,3,4,6,7}:{(2,1),(12,1),(15,1),(34,1),(39,1),(42,1),(77,1),(79,1),(94,1),(104,1)}
         7:{1,2,5,7}:{(2,1),(4,1),(12,1),(13,1),(72,1),(74,1),(100,1)}
         8:{1,2,4,7}:{(3,1),(11,1),(15,1),(94,1),(95,1),(99,1)}
         9:{2,3,5,6}:{(4,1),(13,1),(17,1),(37,1),(42,1)}
        10:{2,4,5,7}:{(4,1),(17,1),(18,1),(68,1),(95,1)}
        11:{1,2,4,6}:{(5,1),(8,1),(19,1),(20,1),(83,1),(84,1)}
        12:{1,3,5,7}:{(6,1),(7,1),(22,1),(23,1),(26,1),(51,1),(90,1)}
        13:{1,2,5,6}:{(7,1),(9,1),(22,1),(25,1),(55,1),(91,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(10,1),(19,1),(23,1),(25,1),(26,1),(31,1),(59,1),(63,1),(85,1),(101,1)}
        15:{3,4,7}:{(8,1),(20,1),(26,1),(103,1)}
        16:{2,3,5,6,7}:{(9,1),(24,1),(29,1),(54,1),(60,1),(87,1)}
        17:{2,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(26,1),(30,1),(31,1),(48,1),(54,1),(82,1)}
        19:{1,2,4,5}:{(11,1),(33,1),(67,1),(68,1),(72,1)}
        20:{3,4,6}:{(11,1),(15,1),(33,1),(42,1)}
        21:{2,4,5,6}:{(17,1),(36,1),(37,1)}
        22:{1,3,5,6}:{(12,1),(13,1),(39,1),(42,1),(76,1)}
        23:{1,4,5,7}:{(12,1),(39,1),(40,1),(67,1),(94,1)}
        24:{1,2,5,6,7}:{(13,1),(16,1),(38,1),(41,1),(74,1),(98,1),(100,1)}
        25:{1,2,4,6}:{(13,1),(14,1),(17,1),(39,1),(42,1),(47,1),(78,1),(81,1)}
        26:{3,5,7}:{(14,1),(15,1),(33,1),(42,1),(97,1),(104,1)}
        27:{1,3,4,7}:{(15,1),(34,1),(43,1),(45,1),(94,1),(104,1)}
        28:{2,3,4,7}:{(15,1),(35,1),(44,1),(45,1),(95,1),(104,1)}
        29:{2,4,6,7}:{(16,1),(17,1),(36,1),(46,1),(95,1)}
        30:{3,4,6}:{(17,1),(18,1),(37,1),(42,1),(47,1)}
        31:{1,4,5,7}:{(18,1),(43,1),(47,1),(67,1),(74,1),(94,1)}
        32:{1,2,4,5,6}:{(19,1),(21,1),(25,1),(49,1),(50,1),(55,1),(56,1),(83,1),(84,1),(88,1),(91,1)}
        33:{3,5}:{(19,1),(20,1)}
        34:{1,3,4,6}:{(20,1),(27,1),(51,1),(53,1),(61,1),(83,1),(102,1),(103,1)}
        35:{2,3,4,6}:{(20,1),(28,1),(52,1),(53,1),(62,1),(84,1),(102,1),(103,1)}
        36:{2,4,5,7}:{(21,1),(29,1),(54,1)}
        37:{3,5,6}:{(21,1),(30,1),(54,1),(55,1)}
        38:{1,3,5,6,7}:{(22,1),(24,1),(57,1),(60,1),(86,1),(90,1)}
        39:{1,4,6}:{(22,1),(23,1),(58,1)}
        40:{3,4,5,7}:{(23,1),(26,1),(48,1),(58,1),(59,1),(82,1),(90,1)}
        41:{1,2,4,6,7}:{(24,1),(25,1),(29,1),(49,1),(57,1),(60,1),(65,1),(92,1),(93,1),(101,1)}
        42:{3,6}:{(25,1),(26,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(31,1),(51,1),(61,1),(63,1)}
        44:{2,3,5,7}:{(26,1),(28,1),(52,1),(59,1),(62,1),(63,1)}
        45:{1,2,4,7}:{(27,1),(28,1),(53,1),(63,1),(64,1)}
        46:{3,4,6,7}:{(29,1),(30,1),(54,1),(60,1),(65,1),(82,1)}
        47:{1,4,6}:{(30,1),(31,1),(55,1),(61,1)}
        48:{3,4,5}:{(33,1),(66,1),(67,1),(68,1),(97,1)}
        49:{1,2,4,5,7}:{(32,1),(36,1),(41,1),(69,1),(74,1),(75,1),(94,1),(95,1),(98,1),(100,1)}
        50:{3,5,6}:{(32,1),(33,1),(42,1),(66,1),(69,1)}
        51:{1,3,5}:{(33,1),(34,1),(67,1),(72,1),(97,1)}
        52:{2,3,5}:{(33,1),(35,1),(68,1),(72,1),(97,1)}
        53:{1,2,4,6}:{(34,1),(35,1),(45,1),(72,1),(73,1),(81,1),(99,1)}
        54:{3,5,7}:{(36,1),(37,1),(46,1),(74,1)}
        55:{1,5,6}:{(37,1),(47,1),(74,1)}
        56:{1,4,5,6}:{(39,1),(75,1),(76,1)}
        57:{1,4,6,7}:{(38,1),(39,1),(75,1),(77,1),(94,1)}
        58:{3,4,6}:{(39,1),(40,1),(42,1),(76,1),(78,1)}
        59:{2,4,5,7}:{(40,1),(44,1),(68,1),(78,1),(95,1),(100,1)}
        60:{3,6,7}:{(41,1),(42,1),(69,1),(104,1)}
        61:{1,3,6}:{(42,1),(43,1),(47,1),(81,1)}
        62:{2,3,6}:{(42,1),(44,1),(78,1),(81,1)}
        63:{1,2,5,7}:{(43,1),(44,1),(45,1),(72,1),(81,1)}
        64:{1,2,3,7}:{(45,1),(73,1),(104,1)}
        65:{1,4,6,7}:{(46,1),(47,1),(74,1),(79,1),(94,1)}
        66:{3,4,6}:{(48,1),(50,1),(82,1),(83,1),(84,1),(102,1)}
        67:{1,4,5}:{(48,1),(51,1),(83,1)}
        68:{2,4,5}:{(48,1),(52,1),(84,1)}
        69:{3,5,7}:{(49,1),(50,1),(60,1),(82,1)}
        70:{1,3,5,6}:{(50,1),(51,1),(55,1),(61,1),(83,1),(86,1),(88,1),(102,1)}
        71:{2,3,5,6}:{(50,1),(52,1),(62,1),(84,1),(87,1),(88,1),(91,1),(102,1)}
        72:{1,2,5}:{(51,1),(52,1),(53,1)}
        73:{1,2,3,6}:{(53,1),(64,1),(89,1),(102,1)}
        74:{1,5,7}:{(54,1),(55,1),(65,1)}
        75:{1,4,5,7}:{(56,1),(57,1),(90,1)}
        76:{3,5,6}:{(56,1),(58,1),(90,1),(91,1)}
        77:{3,4,6,7}:{(57,1),(58,1),(60,1),(82,1),(90,1),(92,1)}
        78:{2,4,6}:{(58,1),(59,1),(62,1),(91,1)}
        79:{1,3,6,7}:{(60,1),(61,1),(65,1),(86,1),(93,1)}
        80:{2,3,6,7}:{(60,1),(62,1),(87,1),(92,1),(93,1)}
        81:{1,2,6}:{(61,1),(62,1),(63,1)}
        82:{3,4,7}:{(66,1),(69,1),(94,1),(95,1),(104,1)}
        83:{1,4,6}:{(66,1),(67,1),(70,1),(94,1)}
        84:{2,4,6}:{(66,1),(68,1),(71,1),(95,1)}
        85:{1,2,4,5}:{(67,1),(68,1),(72,1),(96,1),(97,1),(99,1)}
        86:{1,3,5,7}:{(69,1),(70,1),(74,1),(79,1),(94,1),(98,1),(104,1)}
        87:{2,3,5,7}:{(69,1),(71,1),(80,1),(95,1),(98,1),(100,1),(104,1)}
        88:{1,2,5,6}:{(70,1),(71,1),(72,1),(81,1),(96,1),(98,1)}
        89:{1,2,3,5}:{(72,1),(73,1),(97,1),(99,1)}
        90:{3,5,7}:{(75,1),(76,1),(77,1),(100,1)}
        91:{2,5,6}:{(76,1),(78,1),(100,1)}
        92:{2,4,6,7}:{(77,1),(78,1),(80,1),(95,1),(100,1)}
        93:{1,2,6,7}:{(79,1),(80,1),(81,1),(98,1)}
        94:{1,4,7}:{(82,1),(83,1),(86,1)}
        95:{2,4,7}:{(82,1),(84,1),(87,1)}
        96:{1,2,4,6}:{(83,1),(84,1),(85,1),(88,1),(101,1),(102,1)}
        97:{3,5}:{(85,1),(102,1),(103,1)}
        98:{1,2,5,7}:{(86,1),(87,1),(88,1),(93,1),(101,1)}
        99:{1,2,4}:{(89,1),(103,1)}
       100:{2,5,7}:{(90,1),(91,1),(92,1)}
       101:{1,2,4,7}:{(94,1),(95,1),(96,1),(98,1),(104,1)}
       102:{3,6}:{(96,1),(97,1),(104,1)}
       103:{3,4}:{(97,1),(99,1)}
       104:{3,7}:{(101,1),(102,1)}

1661 :   0:{1,2,3,6}:{(3,1),(5,1),(8,1),(93,1),(105,1)}
         1:{2,3,4,6}:{(6,1),(8,1),(9,1),(41,1),(43,1),(48,1),(95,1),(105,1)}
         2:{2,4,5,6}:{(10,1),(11,1),(35,1),(43,1),(97,1)}
         3:{1,2,3,5}:{(0,1),(12,1),(17,1),(25,1),(61,1),(71,1)}
         4:{3,4,5}:{(18,1),(19,1),(20,1),(71,1)}
         5:{1,2,3,7}:{(0,1),(21,1),(112,1),(129,1),(138,1)}
         6:{2,3,4,7}:{(1,1),(21,1),(22,1),(66,1),(73,1),(113,1),(138,1)}
         7:{2,5,6,7}:{(16,1),(23,1),(125,1),(132,1)}
         8:{1,2,4,6}:{(0,1),(1,1),(17,1),(21,1),(24,1),(25,1),(76,1)}
         9:{2,3,5}:{(1,1),(18,1),(25,1),(71,1),(130,1)}
        10:{3,5,6}:{(2,1),(20,1),(27,1),(28,1)}
        11:{2,4,5,7}:{(2,1),(23,1),(28,1),(65,1),(73,1),(132,1)}
        12:{1,2,3}:{(32,1)}
        13:{1,3,4}:{(32,1),(33,1),(41,1)}
        14:{1,2,3,5,7}:{(3,1),(5,1),(29,1),(34,1),(36,1),(47,1),(82,1),(89,1),(96,1),(100,1)}
        15:{3,4,5,7}:{(4,1),(37,1),(38,1),(39,1),(45,1),(83,1),(99,1),(100,1),(149,1),(159,1),(202,1)}
        16:{3,5,6,7}:{(7,1),(31,1),(40,1),(49,1),(91,1),(99,1)}
        17:{1,2,4}:{(3,1),(41,1)}
        18:{2,4,5}:{(4,1),(9,1),(43,1),(159,1)}
        19:{1,4,5}:{(4,1),(33,1),(44,1)}
        20:{3,4,6}:{(4,1),(10,1),(43,1),(44,1),(45,1),(105,1)}
        21:{1,2,4,7}:{(5,1),(6,1),(8,1),(46,1),(47,1),(143,1)}
        22:{2,3,5,7}:{(6,1),(9,1),(37,1),(47,1),(48,1),(100,1),(144,1),(192,1)}
        23:{2,4,6,7}:{(7,1),(11,1),(40,1),(49,1)}
        24:{1,3,4,6}:{(8,1),(41,1),(46,1),(50,1),(95,1),(105,1),(108,1),(110,1)}
        25:{1,2,5}:{(8,1),(9,1),(50,1)}
        26:{2,3,5,6}:{(9,1),(10,1),(43,1),(48,1),(51,1),(52,1),(97,1),(105,1),(160,1)}
        27:{1,5,6}:{(10,1),(44,1),(53,1)}
        28:{3,5,7}:{(10,1),(11,1),(45,1),(49,1),(53,1)}
        29:{1,2,3,7}:{(12,1),(54,1),(57,1),(208,1),(210,1)}
        30:{1,3,4,7}:{(13,1),(55,1),(57,1),(58,1),(66,1),(175,1),(210,1)}
        31:{1,5,6,7}:{(16,1),(59,1),(78,1),(133,1)}
        32:{1,2,4}:{(12,1),(13,1),(60,1),(61,1)}
        33:{1,3,5}:{(13,1),(19,1),(61,1),(62,1),(71,1)}
        34:{1,2,3,6}:{(14,1),(63,1),(76,1),(124,1),(135,1)}
        35:{4,5,6}:{(64,1),(65,1),(183,1)}
        36:{1,2,4,7}:{(14,1),(17,1),(63,1),(66,1),(114,1)}
        37:{2,4,5,7}:{(15,1),(18,1),(22,1),(68,1),(73,1),(115,1),(132,1),(174,1)}
        38:{1,4,5,7}:{(15,1),(19,1),(58,1),(69,1),(74,1),(116,1),(133,1),(175,1)}
        39:{3,4,6}:{(15,1),(64,1),(68,1),(69,1),(135,1),(183,1)}
        40:{4,6,7}:{(16,1),(65,1)}
        41:{3,4}:{(17,1),(71,1)}
        42:{1,2,4,5}:{(17,1),(18,1),(19,1),(25,1),(61,1),(71,1),(72,1),(79,1),(127,1)}
        43:{2,4,6}:{(18,1),(20,1),(26,1),(73,1),(183,1)}
        44:{1,4,6}:{(19,1),(20,1),(27,1),(62,1),(74,1)}
        45:{3,4,7}:{(20,1),(28,1),(73,1),(74,1),(138,1)}
        46:{1,3,4,7}:{(21,1),(24,1),(66,1),(75,1),(138,1),(142,1),(169,1)}
        47:{1,2,5,7}:{(21,1),(22,1),(25,1),(75,1),(76,1),(170,1),(208,1)}
        48:{2,3,6}:{(22,1),(68,1),(76,1),(135,1)}
        49:{3,6,7}:{(23,1),(28,1),(78,1)}
        50:{1,3,5}:{(24,1),(25,1),(71,1),(79,1),(130,1)}
        51:{1,2,5,6}:{(25,1),(26,1),(27,1),(72,1),(76,1),(80,1),(81,1),(181,1)}
        52:{2,3,5,7}:{(26,1),(28,1),(73,1),(77,1),(81,1),(132,1),(138,1),(184,1)}
        53:{1,5,7}:{(27,1),(28,1),(74,1),(78,1)}
        54:{1,2,3,6}:{(29,1),(82,1),(84,1),(191,1),(194,1)}
        55:{1,3,4,6}:{(30,1),(84,1),(85,1),(90,1),(95,1),(145,1),(148,1),(194,1)}
        56:{1,4,5,6}:{(35,1),(86,1),(87,1),(98,1),(148,1)}
        57:{1,2,4,7}:{(29,1),(30,1),(32,1),(84,1),(88,1),(89,1)}
        58:{1,3,5,7}:{(30,1),(33,1),(38,1),(85,1),(89,1),(90,1),(94,1),(100,1)}
        59:{1,4,6,7}:{(31,1),(40,1),(87,1),(91,1)}
        60:{2,3,4}:{(32,1),(41,1),(92,1)}
        61:{1,2,5}:{(32,1),(33,1),(92,1),(93,1)}
        62:{1,3,6}:{(33,1),(44,1),(93,1),(94,1),(105,1)}
        63:{1,2,4,6}:{(34,1),(36,1),(95,1),(96,1)}
        64:{3,5,6}:{(35,1),(39,1),(97,1),(98,1),(99,1)}
        65:{4,5,7}:{(35,1),(40,1),(99,1),(202,1)}
        66:{3,4,7}:{(36,1),(41,1),(95,1),(100,1),(145,1),(202,1)}
        67:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(42,1),(47,1),(89,1),(96,1),(100,1),(101,1),(106,1),(107,1),(146,1),(154,1),(159,1),(161,1),(195,1),(202,1)}
        68:{2,4,6}:{(37,1),(39,1),(48,1),(97,1)}
        69:{1,4,6}:{(38,1),(39,1),(90,1),(98,1)}
        70:{3,4,6,7}:{(39,1),(40,1),(45,1),(49,1),(91,1),(99,1),(102,1),(103,1),(149,1),(163,1),(202,1)}
        71:{3,5}:{(41,1),(42,1),(105,1)}
        72:{1,2,4,6}:{(42,1),(43,1),(44,1),(51,1),(93,1),(105,1),(106,1),(110,1),(157,1)}
        73:{2,4,7}:{(43,1),(45,1),(52,1),(202,1)}
        74:{1,4,7}:{(44,1),(45,1),(53,1),(94,1)}
        75:{1,3,5,7}:{(46,1),(47,1),(50,1),(100,1),(107,1),(108,1),(190,1),(218,1)}
        76:{1,2,6}:{(47,1),(48,1),(108,1)}
        77:{2,3,6,7}:{(48,1),(49,1),(52,1),(102,1),(109,1),(163,1),(192,1)}
        78:{1,6,7}:{(49,1),(53,1)}
        79:{1,4,5}:{(50,1),(104,1),(110,1),(159,1)}
        80:{1,3,5,6}:{(50,1),(51,1),(105,1),(108,1),(110,1),(111,1),(160,1),(164,1),(166,1)}
        81:{1,2,5,7}:{(51,1),(52,1),(53,1),(106,1),(109,1),(111,1),(200,1)}
        82:{1,2,3,5}:{(54,1),(112,1),(114,1),(119,1),(170,1),(172,1)}
        83:{3,4,5}:{(115,1),(116,1),(117,1),(172,1)}
        84:{1,2,4,6}:{(54,1),(55,1),(57,1),(114,1),(118,1),(119,1),(124,1)}
        85:{1,3,5}:{(55,1),(116,1),(119,1),(130,1),(172,1)}
        86:{3,5,6}:{(56,1),(117,1),(120,1),(122,1)}
        87:{1,4,5,7}:{(56,1),(59,1),(65,1),(122,1),(133,1),(175,1)}
        88:{2,3,4,7}:{(57,1),(60,1),(66,1),(118,1),(123,1),(210,1),(212,1)}
        89:{1,2,5,7}:{(57,1),(58,1),(61,1),(119,1),(123,1),(124,1),(129,1)}
        90:{1,3,6}:{(58,1),(69,1),(124,1),(135,1)}
        91:{3,6,7}:{(59,1),(122,1),(125,1)}
        92:{2,3,5}:{(60,1),(61,1),(71,1),(127,1),(128,1)}
        93:{1,2,6}:{(61,1),(62,1),(128,1),(129,1)}
        94:{1,3,7}:{(62,1),(74,1),(129,1),(138,1)}
        95:{3,4,6}:{(63,1),(66,1),(130,1),(135,1),(183,1)}
        96:{1,2,5}:{(63,1),(130,1)}
        97:{2,5,6}:{(64,1),(68,1),(132,1)}
        98:{1,5,6}:{(64,1),(69,1),(133,1)}
        99:{3,5,7}:{(64,1),(65,1),(70,1),(132,1),(133,1)}
       100:{3,5,7}:{(66,1),(67,1),(71,1),(130,1),(135,1),(138,1),(172,1),(210,1)}
       101:{1,2,4,6}:{(67,1),(68,1),(69,1),(76,1),(124,1),(131,1),(135,1),(139,1),(179,1),(183,1)}
       102:{2,4,6,7}:{(68,1),(70,1),(73,1),(77,1),(125,1),(132,1),(174,1)}
       103:{1,4,6,7}:{(69,1),(70,1),(74,1),(78,1),(126,1),(133,1),(175,1)}
       104:{3,4,5}:{(71,1),(79,1),(127,1),(137,1)}
       105:{3,6}:{(71,1),(72,1),(138,1)}
       106:{1,2,4,7}:{(72,1),(73,1),(74,1),(81,1),(129,1),(138,1),(142,1),(182,1)}
       107:{1,4,5,7}:{(75,1),(79,1),(134,1),(139,1),(142,1),(188,1),(206,1),(225,1)}
       108:{1,3,6}:{(75,1),(76,1),(135,1),(139,1)}
       109:{1,2,6,7}:{(76,1),(77,1),(78,1),(81,1),(140,1),(208,1),(214,1)}
       110:{1,4,6}:{(79,1),(80,1),(137,1),(142,1),(183,1)}
       111:{1,3,5,7}:{(80,1),(81,1),(138,1),(140,1),(142,1),(184,1),(187,1),(188,1)}
       112:{1,2,3}:{(143,1)}
       113:{2,3,4}:{(143,1),(144,1),(145,1)}
       114:{1,2,4}:{(82,1),(145,1)}
       115:{2,4,5}:{(83,1),(144,1),(147,1)}
       116:{1,4,5}:{(83,1),(85,1),(148,1),(159,1)}
       117:{3,4,6}:{(83,1),(86,1),(147,1),(148,1),(149,1),(194,1)}
       118:{2,3,4,6}:{(84,1),(88,1),(95,1),(145,1),(150,1),(155,1),(194,1),(196,1)}
       119:{1,2,5}:{(84,1),(85,1),(150,1)}
       120:{2,5,6}:{(86,1),(147,1),(152,1)}
       121:{1,3,5,6}:{(85,1),(86,1),(90,1),(98,1),(148,1),(151,1),(153,1),(160,1),(194,1)}
       122:{3,5,7}:{(86,1),(87,1),(91,1),(149,1),(152,1)}
       123:{2,3,5,7}:{(88,1),(89,1),(92,1),(100,1),(150,1),(154,1),(155,1),(158,1)}
       124:{1,2,6}:{(89,1),(90,1),(155,1)}
       125:{2,6,7}:{(91,1),(152,1)}
       126:{1,3,6,7}:{(90,1),(91,1),(94,1),(103,1),(153,1),(156,1),(163,1)}
       127:{2,4,5}:{(92,1),(104,1),(157,1)}
       128:{2,3,6}:{(92,1),(93,1),(105,1),(157,1),(158,1)}
       129:{1,2,7}:{(93,1),(94,1),(158,1)}
       130:{3,5}:{(95,1),(96,1),(159,1)}
       131:{1,2,5,6}:{(96,1),(97,1),(98,1),(101,1),(160,1),(161,1),(166,1),(198,1)}
       132:{2,5,7}:{(97,1),(99,1),(102,1)}
       133:{1,5,7}:{(98,1),(99,1),(103,1)}
       134:{3,4,5,7}:{(100,1),(104,1),(107,1),(154,1),(159,1),(162,1),(165,1),(193,1),(202,1),(203,1),(220,1)}
       135:{3,6}:{(100,1),(101,1)}
       136:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(106,1),(109,1),(156,1),(161,1),(163,1),(167,1),(195,1),(199,1),(202,1)}
       137:{3,4,6}:{(104,1),(105,1),(110,1),(157,1),(164,1),(165,1)}
       138:{3,7}:{(105,1),(106,1)}
       139:{1,4,6}:{(107,1),(108,1),(162,1),(166,1)}
       140:{1,3,6,7}:{(108,1),(109,1),(111,1),(163,1),(167,1),(204,1),(218,1)}
       141:{1,4,5,6}:{(110,1),(164,1),(166,1),(168,1),(201,1)}
       142:{1,4,7}:{(110,1),(111,1),(165,1),(202,1)}
       143:{1,2,4}:{(112,1),(113,1),(169,1),(170,1)}
       144:{2,3,5}:{(113,1),(115,1),(170,1),(171,1),(172,1)}
       145:{3,4}:{(114,1),(172,1)}
       146:{1,2,4,5}:{(114,1),(115,1),(116,1),(119,1),(170,1),(172,1),(173,1),(176,1),(206,1)}
       147:{2,4,6}:{(115,1),(117,1),(120,1),(171,1),(174,1)}
       148:{1,4,6}:{(116,1),(117,1),(121,1),(175,1),(183,1)}
       149:{3,4,7}:{(117,1),(122,1),(174,1),(175,1),(210,1)}
       150:{2,3,5}:{(118,1),(119,1),(130,1),(172,1),(176,1)}
       151:{1,2,5,6}:{(119,1),(120,1),(121,1),(124,1),(173,1),(177,1),(178,1),(224,1)}
       152:{2,5,7}:{(120,1),(122,1),(125,1),(174,1)}
       153:{1,3,5,7}:{(121,1),(122,1),(126,1),(133,1),(175,1),(178,1),(184,1),(210,1)}
       154:{2,4,5,7}:{(123,1),(127,1),(134,1),(176,1),(179,1),(182,1),(212,1),(213,1)}
       155:{2,3,6}:{(123,1),(124,1),(135,1),(179,1)}
       156:{1,2,6,7}:{(124,1),(125,1),(126,1),(129,1),(178,1),(180,1),(230,1)}
       157:{2,4,6}:{(127,1),(128,1),(137,1),(181,1),(182,1)}
       158:{2,3,7}:{(128,1),(129,1),(138,1),(182,1)}
       159:{4,5}:{(130,1),(183,1)}
       160:{3,5,6}:{(130,1),(131,1),(135,1),(183,1),(184,1)}
       161:{1,2,5,7}:{(131,1),(132,1),(133,1),(136,1),(184,1),(188,1),(213,1)}
       162:{3,4,6}:{(134,1),(135,1),(139,1),(179,1),(183,1),(185,1)}
       163:{3,6,7}:{(135,1),(136,1),(138,1),(184,1),(210,1)}
       164:{3,5,6}:{(137,1),(141,1),(181,1),(187,1)}
       165:{3,4,7}:{(137,1),(138,1),(142,1),(182,1),(187,1)}
       166:{1,5,6}:{(139,1),(185,1),(188,1)}
       167:{1,4,6,7}:{(139,1),(140,1),(142,1),(186,1),(188,1),(225,1),(230,1)}
       168:{1,4,5,7}:{(141,1),(142,1),(187,1),(188,1),(189,1),(215,1)}
       169:{1,3,4}:{(143,1),(145,1),(190,1)}
       170:{1,2,5}:{(143,1),(144,1),(190,1),(191,1)}
       171:{2,3,6}:{(144,1),(147,1),(191,1),(192,1),(194,1)}
       172:{3,5}:{(145,1),(146,1),(194,1)}
       173:{1,2,4,6}:{(146,1),(147,1),(148,1),(151,1),(191,1),(194,1),(195,1),(196,1),(217,1)}
       174:{2,4,7}:{(147,1),(149,1),(152,1),(192,1)}
       175:{1,4,7}:{(148,1),(149,1),(153,1),(202,1)}
       176:{2,4,5}:{(150,1),(159,1),(193,1),(196,1)}
       177:{2,3,5,6}:{(150,1),(151,1),(155,1),(160,1),(194,1),(196,1),(197,1),(198,1),(219,1)}
       178:{1,2,5,7}:{(151,1),(152,1),(153,1),(156,1),(195,1),(197,1),(228,1)}
       179:{2,4,6}:{(154,1),(155,1),(162,1),(198,1)}
       180:{2,3,6,7}:{(155,1),(156,1),(158,1),(163,1),(197,1),(199,1),(229,1)}
       181:{2,5,6}:{(157,1),(164,1),(200,1)}
       182:{2,4,7}:{(157,1),(158,1),(165,1),(200,1)}
       183:{4,6}:{(159,1),(160,1),(202,1)}
       184:{3,5,7}:{(160,1),(161,1),(163,1),(202,1)}
       185:{3,5,6}:{(162,1),(166,1),(198,1),(201,1),(203,1)}
       186:{3,4,6,7}:{(162,1),(163,1),(165,1),(167,1),(199,1),(202,1),(203,1),(204,1),(220,1),(223,1),(229,1)}
       187:{3,5,7}:{(164,1),(165,1),(168,1),(200,1),(204,1)}
       188:{1,5,7}:{(166,1),(167,1),(203,1)}
       189:{1,4,6,7}:{(168,1),(204,1),(205,1),(223,1)}
       190:{1,3,5}:{(169,1),(170,1),(172,1),(206,1),(207,1)}
       191:{1,2,6}:{(170,1),(171,1),(207,1),(208,1)}
       192:{2,3,7}:{(171,1),(174,1),(208,1),(210,1)}
       193:{3,4,5}:{(172,1),(176,1),(206,1),(209,1)}
       194:{3,6}:{(172,1),(173,1),(210,1)}
       195:{1,2,4,7}:{(173,1),(174,1),(175,1),(178,1),(208,1),(210,1),(212,1),(225,1)}
       196:{2,4,6}:{(176,1),(177,1),(183,1),(209,1),(212,1)}
       197:{2,3,5,7}:{(177,1),(178,1),(180,1),(184,1),(210,1),(212,1),(213,1),(226,1)}
       198:{2,5,6}:{(179,1),(185,1),(213,1)}
       199:{2,4,6,7}:{(179,1),(180,1),(182,1),(186,1),(212,1),(213,1),(214,1)}
       200:{2,5,7}:{(181,1),(182,1),(187,1),(214,1)}
       201:{4,5,6}:{(183,1),(185,1),(215,1)}
       202:{4,7}:{(183,1),(184,1)}
       203:{3,5,7}:{(185,1),(186,1),(188,1),(213,1),(215,1)}
       204:{3,6,7}:{(187,1),(189,1),(214,1)}
       205:{1,5,6,7}:{(188,1),(189,1),(216,1),(230,1)}
       206:{1,4,5}:{(190,1),(193,1),(217,1)}
       207:{1,3,6}:{(190,1),(191,1),(194,1),(217,1),(218,1)}
       208:{1,2,7}:{(191,1),(192,1),(218,1)}
       209:{3,4,6}:{(193,1),(194,1),(196,1),(217,1),(219,1),(220,1)}
       210:{3,7}:{(194,1),(195,1)}
       211:{2,4,5,6}:{(196,1),(198,1),(201,1),(219,1),(221,1)}
       212:{2,4,7}:{(196,1),(197,1),(202,1),(220,1)}
       213:{2,5,7}:{(198,1),(199,1),(203,1)}
       214:{2,6,7}:{(200,1),(204,1)}
       215:{4,5,7}:{(201,1),(202,1),(203,1),(223,1)}
       216:{3,5,6,7}:{(203,1),(204,1),(205,1),(222,1),(223,1),(229,1)}
       217:{1,4,6}:{(206,1),(207,1),(209,1),(224,1),(225,1)}
       218:{1,3,7}:{(207,1),(208,1),(210,1),(225,1)}
       219:{3,5,6}:{(209,1),(211,1),(224,1),(226,1)}
       220:{3,4,7}:{(209,1),(210,1),(212,1),(225,1),(226,1)}
       221:{2,4,5,7}:{(211,1),(212,1),(213,1),(215,1),(226,1),(227,1)}
       222:{2,5,6,7}:{(213,1),(214,1),(216,1),(227,1)}
       223:{4,6,7}:{(215,1),(216,1)}
       224:{1,5,6}:{(217,1),(219,1),(228,1)}
       225:{1,4,7}:{(217,1),(218,1),(220,1),(228,1)}
       226:{3,5,7}:{(219,1),(220,1),(221,1),(228,1),(229,1)}
       227:{2,4,6,7}:{(221,1),(222,1),(223,1),(229,1)}
       228:{1,5,7}:{(224,1),(225,1),(226,1),(230,1)}
       229:{3,6,7}:{(226,1),(227,1),(230,1)}
       230:{1,6,7}:{(228,1),(229,1)}

1662 :   0:{1,4,5,6,7}:{(1,1),(8,1),(195,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(4,1),(202,1)}
         2:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(32,1),(193,1)}
         3:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(27,1),(32,1),(163,1)}
         4:{2,5,6,7}:{(1,1),(9,1),(206,1)}
         5:{3,4,5,6}:{(7,1),(11,1),(12,1),(37,1),(168,1),(193,1)}
         6:{1,3,4,5,7}:{(13,1),(14,1),(27,1),(62,1),(72,1),(75,1),(108,1),(122,1),(158,1),(162,1)}
         7:{3,4,5,7}:{(2,1),(5,1),(15,1),(16,1),(45,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(181,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(18,1),(200,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(19,1),(20,1),(43,1),(87,1),(138,1)}
        11:{1,4,5,6}:{(5,1),(15,1),(21,1),(148,1),(181,1)}
        12:{2,4,5,6}:{(5,1),(16,1),(22,1),(183,1),(200,1)}
        13:{1,3,4,6}:{(6,1),(21,1),(24,1),(53,1),(135,1),(179,1),(181,1)}
        14:{1,2,4,5,7}:{(6,1),(24,1),(25,1),(43,1),(56,1),(82,1),(93,1),(97,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(11,1),(27,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(12,1),(28,1)}
        17:{1,3,4,6,7}:{(8,1),(13,1),(27,1),(30,1),(32,1),(62,1),(65,1)}
        18:{2,3,6,7}:{(9,1),(28,1),(31,1),(32,1),(191,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(29,1),(31,1),(32,1),(33,1),(65,1),(159,1)}
        20:{2,3,5,6,7}:{(10,1),(32,1),(33,1),(60,1),(66,1),(112,1)}
        21:{1,3,5,6}:{(11,1),(13,1),(27,1),(35,1),(37,1),(113,1),(122,1)}
        22:{2,3,5,6}:{(12,1),(28,1),(34,1),(36,1),(37,1),(165,1),(191,1)}
        23:{1,2,4,5,6}:{(11,1),(12,1),(29,1),(35,1),(36,1),(37,1),(67,1),(70,1),(71,1),(113,1),(118,1),(159,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(35,1),(38,1),(70,1)}
        25:{2,3,5,7}:{(14,1),(38,1),(40,1),(74,1),(158,1)}
        26:{2,3,4,5}:{(34,1),(41,1),(72,1),(127,1),(165,1)}
        27:{1,3,5,7}:{(15,1),(17,1),(21,1),(43,1),(45,1),(87,1)}
        28:{2,3,5,7}:{(16,1),(18,1),(22,1),(42,1),(44,1),(45,1)}
        29:{1,2,4,5,7}:{(15,1),(16,1),(19,1),(23,1),(43,1),(44,1),(45,1),(49,1),(82,1),(83,1),(87,1)}
        30:{1,2,4,6,7}:{(17,1),(24,1),(43,1),(46,1),(82,1)}
        31:{1,2,6,7}:{(18,1),(44,1),(47,1),(176,1)}
        32:{3,6,7}:{(19,1),(45,1),(179,1)}
        33:{2,4,6,7}:{(20,1),(48,1),(49,1),(82,1),(134,1)}
        34:{2,3,4,6}:{(22,1),(26,1),(42,1),(50,1),(53,1)}
        35:{1,2,5,6}:{(21,1),(24,1),(43,1),(51,1),(97,1)}
        36:{1,2,5,6}:{(22,1),(44,1),(50,1),(52,1),(142,1),(176,1)}
        37:{3,5,6}:{(23,1),(45,1),(53,1),(144,1),(179,1)}
        38:{2,3,6}:{(24,1),(25,1),(179,1)}
        39:{1,2,3,5,7}:{(25,1),(54,1),(56,1),(97,1),(99,1)}
        40:{2,3,4,7}:{(25,1),(55,1),(56,1),(82,1),(132,1)}
        41:{1,2,4,5}:{(26,1),(50,1),(58,1),(94,1),(102,1),(142,1)}
        42:{2,3,4,7}:{(28,1),(34,1),(59,1),(62,1)}
        43:{1,2,5,7}:{(27,1),(30,1),(35,1),(60,1)}
        44:{1,2,5,7}:{(28,1),(31,1),(36,1),(59,1),(61,1)}
        45:{3,5,7}:{(29,1),(32,1),(37,1),(62,1)}
        46:{2,3,6,7}:{(30,1),(32,1),(38,1),(60,1)}
        47:{1,3,6,7}:{(31,1),(32,1),(61,1),(65,1),(157,1)}
        48:{3,4,6,7}:{(32,1),(33,1),(62,1),(65,1),(66,1),(109,1)}
        49:{2,4,5,7}:{(33,1),(66,1),(67,1)}
        50:{1,2,4,6}:{(34,1),(36,1),(41,1),(59,1),(68,1),(71,1)}
        51:{2,3,5,6}:{(35,1),(37,1),(38,1),(60,1),(70,1),(74,1)}
        52:{1,3,5,6}:{(36,1),(37,1),(61,1),(68,1),(71,1),(113,1),(116,1),(157,1)}
        53:{3,4,6}:{(37,1),(62,1),(70,1),(71,1),(72,1)}
        54:{1,2,3,6}:{(38,1),(39,1),(73,1),(125,1)}
        55:{2,3,4,6}:{(38,1),(40,1),(70,1),(73,1),(74,1),(117,1)}
        56:{1,2,4,7}:{(39,1),(40,1),(73,1),(75,1)}
        57:{2,3,4,5,7}:{(40,1),(74,1),(76,1),(77,1),(107,1),(124,1),(158,1),(168,1),(190,1),(199,1)}
        58:{1,3,5}:{(41,1),(68,1),(79,1)}
        59:{1,2,4,7}:{(42,1),(44,1),(50,1),(80,1),(83,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(46,1),(51,1),(82,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(47,1),(52,1),(80,1),(83,1),(87,1)}
        62:{3,4,7}:{(45,1),(53,1),(82,1),(83,1)}
        63:{1,2,3,6,7}:{(46,1),(47,1),(54,1),(81,1),(85,1),(151,1),(176,1),(179,1),(201,1)}
        64:{2,3,4,6,7}:{(46,1),(48,1),(55,1),(82,1),(85,1),(86,1),(132,1),(134,1),(179,1)}
        65:{1,4,6,7}:{(47,1),(48,1),(83,1),(87,1),(135,1)}
        66:{3,5,7}:{(48,1),(49,1),(87,1),(88,1)}
        67:{2,4,5,6}:{(49,1),(88,1),(134,1)}
        68:{1,3,6}:{(50,1),(58,1),(80,1)}
        69:{1,2,3,5,6}:{(51,1),(52,1),(54,1),(81,1),(90,1),(92,1),(97,1),(138,1),(142,1),(144,1),(149,1),(176,1),(179,1),(184,1)}
        70:{2,4,6}:{(51,1),(53,1),(82,1),(93,1)}
        71:{1,4,6}:{(52,1),(53,1),(83,1),(94,1)}
        72:{3,4,5}:{(53,1),(93,1),(94,1),(144,1)}
        73:{1,2,4,6}:{(54,1),(55,1),(56,1),(96,1),(97,1)}
        74:{2,3,5}:{(55,1),(93,1),(97,1),(144,1)}
        75:{1,3,4,7}:{(56,1),(96,1),(99,1),(132,1),(188,1)}
        76:{1,2,4,5,7}:{(56,1),(57,1),(97,1),(99,1),(100,1),(148,1),(150,1),(188,1)}
        77:{2,3,4,6}:{(57,1),(98,1),(100,1),(134,1),(179,1),(186,1),(200,1)}
        78:{1,2,3,5}:{(58,1),(90,1),(102,1),(142,1),(152,1)}
        79:{1,3,4}:{(58,1),(102,1)}
        80:{1,3,7}:{(59,1),(68,1)}
        81:{1,2,3,5,7}:{(60,1),(61,1),(63,1),(69,1),(104,1),(106,1),(111,1),(156,1),(158,1),(172,1),(198,1)}
        82:{2,4,7}:{(60,1),(62,1),(70,1)}
        83:{1,4,7}:{(61,1),(62,1),(71,1)}
        84:{3,4,5,7}:{(62,1),(66,1),(72,1),(107,1),(108,1),(109,1),(158,1)}
        85:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(73,1),(106,1),(110,1),(111,1),(159,1),(207,1)}
        86:{2,3,5,7}:{(64,1),(66,1),(74,1),(107,1),(111,1),(112,1),(158,1)}
        87:{1,5,7}:{(65,1),(66,1),(113,1)}
        88:{3,5,6}:{(66,1),(67,1),(109,1),(113,1)}
        89:{2,4,5,6,7}:{(67,1),(114,1),(160,1)}
        90:{1,2,3,6}:{(68,1),(78,1),(104,1),(115,1),(173,1)}
        91:{1,3,4,6}:{(68,1),(71,1),(79,1),(105,1),(115,1),(116,1),(117,1),(157,1)}
        92:{1,2,4,6}:{(69,1),(70,1),(71,1),(106,1),(117,1),(118,1),(171,1),(197,1)}
        93:{2,4,5}:{(70,1),(72,1),(74,1)}
        94:{1,4,5}:{(71,1),(72,1),(116,1)}
        95:{3,4,5,6}:{(72,1),(109,1),(119,1),(120,1),(121,1),(169,1)}
        96:{1,3,4,6}:{(73,1),(75,1),(117,1),(122,1),(125,1),(171,1)}
        97:{1,2,5}:{(73,1),(74,1),(122,1)}
        98:{2,3,5,6}:{(74,1),(77,1),(119,1),(123,1),(124,1),(169,1),(206,1)}
        99:{1,3,5,7}:{(75,1),(76,1),(122,1),(125,1),(158,1)}
       100:{1,2,4,6}:{(76,1),(77,1),(123,1),(125,1),(171,1)}
       101:{2,3,4,6,7}:{(77,1),(124,1),(126,1),(160,1),(194,1),(199,1),(207,1)}
       102:{1,2,4}:{(78,1),(79,1),(127,1)}
       103:{1,3,4,5}:{(79,1),(116,1),(128,1),(129,1),(168,1)}
       104:{1,2,3,7}:{(80,1),(90,1),(130,1),(189,1)}
       105:{1,3,4,7}:{(80,1),(83,1),(91,1),(130,1),(131,1),(132,1)}
       106:{1,2,4,7}:{(81,1),(82,1),(83,1),(92,1),(132,1),(188,1),(205,1)}
       107:{2,4,5,7}:{(82,1),(84,1),(86,1),(93,1),(134,1)}
       108:{1,4,5,7}:{(83,1),(84,1),(87,1),(94,1),(131,1),(135,1)}
       109:{3,4,6}:{(84,1),(88,1),(134,1),(135,1),(179,1)}
       110:{1,3,4,6,7}:{(85,1),(96,1),(132,1),(137,1),(151,1),(179,1),(181,1),(188,1),(203,1)}
       111:{1,2,5,7}:{(85,1),(86,1),(87,1),(97,1),(137,1),(138,1),(209,1)}
       112:{2,3,5,6}:{(86,1),(88,1),(134,1),(138,1),(179,1)}
       113:{1,5,6}:{(87,1),(88,1),(135,1)}
       114:{3,5,6,7}:{(88,1),(89,1),(136,1),(140,1)}
       115:{1,2,4,6}:{(90,1),(91,1),(102,1),(130,1),(141,1),(142,1),(176,1)}
       116:{1,3,5}:{(91,1),(94,1),(142,1),(144,1)}
       117:{3,4,6}:{(92,1),(132,1),(144,1),(179,1)}
       118:{1,2,4,5}:{(92,1),(93,1),(94,1),(97,1),(142,1),(144,1),(148,1),(183,1)}
       119:{2,4,5,6}:{(93,1),(95,1),(98,1),(134,1),(146,1)}
       120:{1,4,5,6}:{(94,1),(95,1),(135,1),(143,1),(147,1)}
       121:{3,4,5,7}:{(95,1),(136,1),(146,1),(147,1),(187,1)}
       122:{1,3,5}:{(96,1),(97,1),(144,1),(148,1)}
       123:{1,2,5,6}:{(97,1),(98,1),(100,1),(149,1),(150,1)}
       124:{2,3,5,7}:{(98,1),(101,1),(146,1),(150,1),(187,1),(209,1)}
       125:{1,3,6}:{(99,1),(100,1),(179,1)}
       126:{1,2,4,6,7}:{(100,1),(101,1),(150,1),(151,1),(188,1)}
       127:{2,3,4}:{(102,1),(152,1)}
       128:{1,2,4,5}:{(102,1),(103,1),(142,1),(152,1),(153,1),(183,1)}
       129:{1,3,4,6}:{(103,1),(143,1),(153,1),(154,1),(186,1)}
       130:{1,2,4,7}:{(104,1),(105,1),(115,1),(155,1),(156,1)}
       131:{1,3,5,7}:{(105,1),(108,1),(116,1),(156,1),(157,1),(158,1)}
       132:{3,4,7}:{(106,1),(117,1),(158,1)}
       133:{1,2,4,5,7}:{(106,1),(107,1),(108,1),(111,1),(118,1),(156,1),(158,1),(159,1),(162,1),(190,1)}
       134:{2,4,6}:{(107,1),(109,1),(112,1)}
       135:{1,4,6}:{(108,1),(109,1),(113,1),(157,1)}
       136:{3,4,6,7}:{(109,1),(114,1),(121,1),(160,1),(161,1),(194,1)}
       137:{1,3,5,7}:{(110,1),(111,1),(122,1),(158,1),(162,1),(163,1),(208,1)}
       138:{1,2,5,6}:{(111,1),(112,1),(113,1),(159,1),(163,1),(206,1)}
       139:{2,3,5,6,7}:{(112,1),(114,1),(124,1),(160,1),(164,1),(194,1)}
       140:{1,5,6,7}:{(113,1),(114,1),(161,1)}
       141:{2,3,4,6}:{(115,1),(117,1),(127,1),(155,1),(165,1),(173,1),(191,1),(197,1)}
       142:{1,2,5}:{(115,1),(116,1),(165,1)}
       143:{1,3,5,6}:{(116,1),(120,1),(129,1),(157,1),(166,1),(167,1),(169,1)}
       144:{3,5}:{(117,1),(118,1)}
       145:{1,2,4,5,6}:{(118,1),(119,1),(120,1),(123,1),(159,1),(166,1),(169,1),(170,1),(171,1),(195,1),(197,1),(206,1)}
       146:{2,4,5,7}:{(119,1),(121,1),(124,1),(160,1)}
       147:{1,4,5,7}:{(120,1),(121,1),(161,1),(167,1)}
       148:{1,4,5}:{(122,1),(168,1),(171,1)}
       149:{1,3,5,6}:{(122,1),(123,1),(125,1),(169,1),(171,1),(172,1)}
       150:{1,2,5,7}:{(123,1),(124,1),(126,1),(172,1)}
       151:{1,3,6,7}:{(125,1),(126,1),(172,1),(194,1)}
       152:{2,3,5}:{(127,1),(128,1),(173,1)}
       153:{1,2,4,6}:{(128,1),(129,1),(166,1),(173,1),(174,1),(197,1)}
       154:{1,3,4,7}:{(129,1),(167,1),(174,1),(199,1)}
       155:{2,3,4,7}:{(130,1),(132,1),(141,1),(175,1),(189,1),(205,1)}
       156:{1,2,5,7}:{(130,1),(131,1),(142,1),(175,1),(176,1)}
       157:{1,3,6}:{(131,1),(135,1),(176,1),(179,1)}
       158:{3,5,7}:{(132,1),(133,1),(144,1),(179,1)}
       159:{1,2,4,6}:{(133,1),(134,1),(135,1),(138,1),(176,1),(179,1),(181,1),(200,1)}
       160:{2,4,6,7}:{(134,1),(136,1),(139,1),(146,1)}
       161:{1,4,6,7}:{(135,1),(136,1),(140,1),(147,1),(177,1)}
       162:{1,4,5,7}:{(137,1),(148,1),(178,1),(181,1),(188,1)}
       163:{1,3,5,6}:{(137,1),(138,1),(179,1),(181,1),(202,1)}
       164:{1,2,5,6,7}:{(138,1),(139,1),(140,1),(150,1),(180,1),(182,1),(209,1)}
       165:{2,3,5}:{(141,1),(142,1),(144,1),(183,1)}
       166:{1,2,5,6}:{(142,1),(143,1),(153,1),(176,1),(184,1),(185,1)}
       167:{1,3,5,7}:{(143,1),(147,1),(154,1),(177,1),(185,1),(187,1)}
       168:{3,4,5}:{(144,1),(148,1),(183,1),(186,1)}
       169:{3,5,6}:{(144,1),(145,1),(179,1),(186,1),(187,1)}
       170:{1,2,4,5,7}:{(145,1),(146,1),(147,1),(150,1),(180,1),(185,1),(187,1),(188,1),(204,1),(205,1),(209,1)}
       171:{1,4,6}:{(148,1),(149,1),(186,1),(188,1)}
       172:{1,3,5,7}:{(149,1),(150,1),(151,1),(187,1),(188,1)}
       173:{2,3,6}:{(152,1),(153,1),(189,1)}
       174:{1,2,4,7}:{(153,1),(154,1),(185,1),(189,1),(205,1)}
       175:{2,3,5,7}:{(155,1),(156,1),(158,1),(165,1),(190,1),(191,1)}
       176:{1,2,6}:{(156,1),(157,1),(191,1)}
       177:{1,3,6,7}:{(157,1),(161,1),(167,1),(192,1),(194,1)}
       178:{3,4,5,7}:{(158,1),(162,1),(168,1),(190,1),(193,1),(199,1),(208,1)}
       179:{3,6}:{(158,1),(159,1)}
       180:{1,2,4,6,7}:{(159,1),(160,1),(161,1),(164,1),(170,1),(192,1),(194,1),(196,1),(207,1)}
       181:{1,4,6}:{(162,1),(163,1),(193,1)}
       182:{1,3,5,6,7}:{(163,1),(164,1),(172,1),(194,1),(196,1),(208,1)}
       183:{2,4,5}:{(165,1),(168,1),(197,1)}
       184:{2,3,5,6}:{(165,1),(166,1),(169,1),(173,1),(191,1),(197,1),(198,1),(206,1)}
       185:{1,2,5,7}:{(166,1),(167,1),(174,1),(192,1),(198,1)}
       186:{3,4,6}:{(168,1),(169,1),(171,1),(197,1),(199,1)}
       187:{3,5,7}:{(169,1),(170,1),(194,1),(199,1)}
       188:{1,4,7}:{(171,1),(172,1),(199,1)}
       189:{2,3,7}:{(173,1),(174,1)}
       190:{2,4,5,7}:{(175,1),(178,1),(183,1),(200,1),(205,1),(209,1)}
       191:{2,3,6}:{(175,1),(176,1),(179,1),(200,1)}
       192:{1,2,6,7}:{(176,1),(177,1),(185,1),(201,1)}
       193:{3,4,6}:{(178,1),(179,1),(181,1),(200,1),(202,1)}
       194:{3,6,7}:{(179,1),(180,1),(187,1)}
       195:{1,4,5,6}:{(181,1),(202,1),(204,1)}
       196:{1,4,6,7}:{(181,1),(182,1),(188,1),(203,1),(204,1)}
       197:{2,4,6}:{(183,1),(184,1),(186,1),(205,1)}
       198:{2,3,5,7}:{(184,1),(185,1),(187,1),(189,1),(201,1),(205,1),(209,1)}
       199:{3,4,7}:{(186,1),(187,1),(188,1),(205,1)}
       200:{2,4,6}:{(190,1),(191,1),(193,1),(206,1)}
       201:{2,3,6,7}:{(191,1),(192,1),(194,1),(198,1),(207,1)}
       202:{3,5,6}:{(193,1),(195,1),(206,1),(208,1)}
       203:{3,4,6,7}:{(193,1),(194,1),(196,1),(199,1),(207,1),(208,1)}
       204:{1,4,5,7}:{(195,1),(196,1),(208,1)}
       205:{2,4,7}:{(197,1),(198,1),(199,1)}
       206:{2,5,6}:{(200,1),(202,1),(209,1)}
       207:{2,4,6,7}:{(200,1),(201,1),(203,1),(205,1),(209,1)}
       208:{3,5,7}:{(202,1),(203,1),(204,1),(209,1)}
       209:{2,5,7}:{(206,1),(207,1),(208,1)}

1663 :   0:{1,3,4,5,7}:{(1,1),(2,1),(10,1),(38,1),(76,1),(80,1),(87,1),(122,1),(125,1),(130,1)}
         1:{1,2,4,5,7}:{(0,1),(4,1),(5,1),(20,1),(22,1),(53,1),(59,1),(63,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(6,1),(64,1),(147,1),(150,1),(155,1)}
         3:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(17,1),(48,1),(76,1),(93,1)}
         4:{2,3,5,7}:{(1,1),(12,1),(13,1),(43,1),(125,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(13,1),(14,1),(44,1)}
         6:{1,3,5,6}:{(2,1),(10,1),(14,1),(15,1),(45,1),(80,1),(145,1)}
         7:{1,3,5,6,7}:{(10,1),(16,1),(17,1),(18,1),(48,1),(121,1)}
         8:{1,4,5,6,7}:{(17,1),(18,1),(169,1)}
         9:{1,2,4,6,7}:{(3,1),(5,1),(19,1),(20,1),(53,1)}
        10:{1,3,5,7}:{(3,1),(6,1),(20,1),(21,1),(54,1),(120,1)}
        11:{1,2,3,5,7}:{(4,1),(22,1),(23,1),(56,1),(59,1)}
        12:{2,3,4,7}:{(4,1),(22,1),(25,1),(53,1),(98,1)}
        13:{2,3,6}:{(4,1),(5,1),(150,1)}
        14:{1,2,5,6}:{(5,1),(6,1),(20,1),(26,1),(59,1)}
        15:{1,4,5,6}:{(6,1),(21,1),(28,1),(107,1),(147,1)}
        16:{1,2,5,6,7}:{(7,1),(20,1),(29,1),(30,1),(32,1),(96,1),(120,1)}
        17:{1,4,6,7}:{(7,1),(21,1),(31,1),(147,1)}
        18:{3,5,6,7}:{(8,1),(31,1),(32,1),(189,1)}
        19:{2,3,6,7}:{(9,1),(13,1),(35,1),(48,1)}
        20:{1,2,5,7}:{(9,1),(10,1),(14,1),(35,1)}
        21:{1,4,5,7}:{(10,1),(15,1),(17,1),(37,1)}
        22:{1,2,4,7}:{(11,1),(12,1),(38,1),(40,1)}
        23:{1,2,3,6}:{(11,1),(13,1),(40,1),(79,1)}
        24:{2,3,4,5,7}:{(12,1),(39,1),(42,1),(43,1),(75,1),(85,1),(125,1),(134,1),(172,1),(179,1)}
        25:{2,3,4,6}:{(12,1),(13,1),(40,1),(43,1),(44,1),(84,1)}
        26:{2,3,5,6}:{(13,1),(14,1),(35,1),(43,1),(44,1),(45,1)}
        27:{1,2,4,5,6}:{(14,1),(15,1),(36,1),(44,1),(45,1),(46,1),(83,1),(88,1),(90,1),(91,1),(124,1),(145,1)}
        28:{3,4,5,6}:{(15,1),(37,1),(45,1),(46,1),(134,1),(171,1)}
        29:{2,3,5,6,7}:{(16,1),(35,1),(47,1),(48,1),(74,1),(92,1)}
        30:{1,2,4,6,7}:{(16,1),(17,1),(36,1),(47,1),(48,1),(49,1),(93,1),(94,1),(124,1)}
        31:{3,4,6,7}:{(17,1),(18,1),(37,1),(48,1),(49,1),(171,1)}
        32:{2,5,6,7}:{(18,1),(49,1),(202,1)}
        33:{1,2,3,6,7}:{(19,1),(23,1),(50,1),(51,1),(69,1),(105,1),(150,1),(193,1),(194,1)}
        34:{2,3,4,6,7}:{(19,1),(25,1),(50,1),(52,1),(53,1),(68,1),(98,1),(100,1),(150,1)}
        35:{2,3,5,7}:{(19,1),(20,1),(26,1),(53,1),(54,1)}
        36:{1,2,4,5,7}:{(20,1),(21,1),(27,1),(30,1),(53,1),(54,1),(55,1),(67,1),(102,1),(104,1),(120,1)}
        37:{3,4,5,7}:{(21,1),(28,1),(31,1),(54,1),(55,1)}
        38:{1,3,4,7}:{(22,1),(56,1),(57,1),(98,1),(157,1)}
        39:{1,2,4,5,7}:{(22,1),(24,1),(56,1),(58,1),(59,1),(107,1),(108,1),(157,1)}
        40:{1,2,4,6}:{(22,1),(23,1),(25,1),(57,1),(59,1)}
        41:{1,2,3,5,6}:{(23,1),(26,1),(51,1),(59,1),(60,1),(65,1),(96,1),(106,1),(110,1),(150,1),(163,1),(164,1),(165,1),(194,1)}
        42:{2,3,4,6}:{(24,1),(58,1),(62,1),(100,1),(150,1),(158,1),(191,1)}
        43:{2,3,5}:{(25,1),(59,1),(63,1),(110,1)}
        44:{2,4,6}:{(26,1),(53,1),(63,1),(64,1)}
        45:{3,5,6}:{(27,1),(54,1),(64,1),(110,1),(150,1)}
        46:{2,4,5,6}:{(28,1),(55,1),(66,1),(160,1),(191,1)}
        47:{2,4,6,7}:{(29,1),(53,1),(67,1),(68,1),(100,1)}
        48:{3,6,7}:{(30,1),(54,1),(150,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(55,1),(70,1),(191,1)}
        50:{1,2,4,6,7}:{(33,1),(34,1),(40,1),(71,1),(72,1),(73,1),(93,1),(124,1),(203,1)}
        51:{1,2,3,5,7}:{(33,1),(35,1),(41,1),(72,1),(73,1),(77,1),(125,1),(132,1),(176,1),(177,1),(184,1)}
        52:{2,3,5,7}:{(34,1),(43,1),(72,1),(74,1),(75,1),(92,1),(125,1)}
        53:{2,4,7}:{(35,1),(44,1),(76,1)}
        54:{3,5,7}:{(36,1),(45,1),(48,1),(76,1)}
        55:{2,4,5,7}:{(37,1),(46,1),(49,1),(78,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(79,1),(80,1),(125,1)}
        57:{1,3,4,6}:{(38,1),(40,1),(79,1),(80,1),(84,1),(133,1)}
        58:{1,2,4,6}:{(39,1),(42,1),(79,1),(82,1),(133,1)}
        59:{1,2,5}:{(40,1),(43,1),(80,1)}
        60:{1,2,4,6}:{(41,1),(44,1),(73,1),(83,1),(84,1),(88,1),(133,1),(181,1)}
        61:{2,3,4,6,7}:{(42,1),(81,1),(85,1),(128,1),(173,1),(179,1),(203,1)}
        62:{2,3,5,6}:{(42,1),(43,1),(82,1),(85,1),(86,1),(136,1),(202,1)}
        63:{2,4,5}:{(43,1),(44,1),(87,1)}
        64:{3,4,6}:{(44,1),(45,1),(76,1),(87,1),(88,1)}
        65:{1,3,5,6}:{(45,1),(77,1),(88,1),(90,1),(137,1),(143,1),(145,1),(174,1)}
        66:{2,3,5,6}:{(45,1),(46,1),(78,1),(89,1),(90,1),(138,1),(175,1)}
        67:{2,4,5,7}:{(47,1),(91,1),(92,1)}
        68:{3,4,6,7}:{(47,1),(48,1),(76,1),(92,1),(93,1),(129,1)}
        69:{1,3,6,7}:{(48,1),(77,1),(93,1),(94,1),(174,1)}
        70:{2,3,6,7}:{(48,1),(49,1),(78,1),(94,1),(175,1)}
        71:{1,3,4,6,7}:{(50,1),(57,1),(95,1),(98,1),(105,1),(147,1),(150,1),(157,1),(190,1)}
        72:{1,2,5,7}:{(50,1),(52,1),(59,1),(95,1),(96,1),(120,1),(208,1)}
        73:{1,2,4,7}:{(51,1),(53,1),(60,1),(98,1),(102,1),(157,1),(196,1)}
        74:{2,3,5,6}:{(52,1),(96,1),(100,1),(119,1),(150,1)}
        75:{2,4,5,7}:{(52,1),(53,1),(63,1),(100,1),(101,1)}
        76:{3,4,7}:{(53,1),(54,1),(64,1),(102,1)}
        77:{1,3,5,7}:{(54,1),(65,1),(69,1),(102,1),(104,1),(120,1),(156,1)}
        78:{2,3,5,7}:{(54,1),(55,1),(66,1),(70,1),(103,1),(104,1)}
        79:{1,3,6}:{(56,1),(58,1),(150,1)}
        80:{1,3,5}:{(57,1),(59,1),(107,1),(110,1)}
        81:{1,2,4,6,7}:{(58,1),(61,1),(105,1),(108,1),(157,1)}
        82:{1,2,5,6}:{(58,1),(59,1),(62,1),(106,1),(108,1)}
        83:{1,2,4,5}:{(59,1),(60,1),(63,1),(107,1),(110,1),(115,1),(160,1),(164,1)}
        84:{3,4,6}:{(60,1),(98,1),(110,1),(150,1)}
        85:{2,3,5,7}:{(61,1),(62,1),(108,1),(113,1),(161,1),(208,1)}
        86:{2,4,5,6}:{(62,1),(63,1),(100,1),(113,1),(114,1)}
        87:{3,4,5}:{(63,1),(64,1),(110,1),(115,1)}
        88:{1,4,6}:{(64,1),(65,1),(102,1),(115,1)}
        89:{2,3,4,6}:{(64,1),(66,1),(103,1),(116,1),(117,1)}
        90:{1,2,5,6}:{(65,1),(66,1),(104,1),(117,1),(164,1),(194,1)}
        91:{2,4,5,6}:{(67,1),(100,1),(119,1)}
        92:{3,5,7}:{(67,1),(68,1),(119,1),(120,1)}
        93:{1,4,6,7}:{(68,1),(69,1),(102,1),(120,1),(155,1)}
        94:{1,2,6,7}:{(69,1),(70,1),(104,1),(194,1)}
        95:{1,3,5,7}:{(71,1),(72,1),(80,1),(121,1),(122,1),(125,1),(201,1)}
        96:{1,2,5,6}:{(72,1),(74,1),(121,1),(124,1),(145,1),(202,1)}
        97:{1,2,4,5,7}:{(72,1),(73,1),(75,1),(83,1),(122,1),(124,1),(125,1),(130,1),(172,1),(176,1)}
        98:{3,4,7}:{(73,1),(84,1),(125,1)}
        99:{2,3,5,6,7}:{(74,1),(85,1),(123,1),(128,1),(144,1),(173,1)}
       100:{2,4,6}:{(74,1),(75,1),(129,1)}
       101:{3,4,5,7}:{(75,1),(76,1),(87,1),(92,1),(125,1),(129,1),(130,1)}
       102:{1,4,7}:{(76,1),(77,1),(88,1)}
       103:{2,3,4,7}:{(76,1),(78,1),(89,1),(131,1)}
       104:{1,2,5,7}:{(77,1),(78,1),(90,1),(94,1),(131,1)}
       105:{1,3,6,7}:{(79,1),(81,1),(132,1),(173,1)}
       106:{1,3,5,6}:{(79,1),(80,1),(82,1),(132,1),(133,1),(136,1)}
       107:{1,4,5}:{(80,1),(133,1),(134,1)}
       108:{1,2,5,7}:{(81,1),(82,1),(85,1),(132,1)}
       109:{1,2,4,5,6}:{(82,1),(83,1),(86,1),(124,1),(133,1),(135,1),(136,1),(141,1),(169,1),(181,1),(185,1),(202,1)}
       110:{3,5}:{(83,1),(84,1)}
       111:{1,3,4,6}:{(84,1),(88,1),(126,1),(137,1),(139,1),(143,1),(174,1),(187,1)}
       112:{2,3,4,6}:{(84,1),(127,1),(138,1),(139,1),(175,1),(181,1),(206,1),(207,1)}
       113:{2,4,5,7}:{(85,1),(86,1),(128,1),(140,1)}
       114:{3,4,5,6}:{(86,1),(87,1),(129,1),(136,1),(140,1),(141,1)}
       115:{1,4,5}:{(87,1),(88,1),(137,1)}
       116:{2,3,4,5}:{(87,1),(89,1),(138,1),(142,1),(207,1)}
       117:{1,2,4,6}:{(88,1),(89,1),(90,1),(131,1),(142,1),(143,1)}
       118:{2,4,5,6,7}:{(91,1),(128,1),(144,1)}
       119:{3,5,6}:{(91,1),(92,1),(129,1),(145,1)}
       120:{1,5,7}:{(92,1),(93,1),(145,1)}
       121:{1,3,5,6}:{(95,1),(96,1),(147,1),(150,1),(189,1)}
       122:{1,4,5,7}:{(95,1),(107,1),(147,1),(148,1),(157,1)}
       123:{1,2,5,6,7}:{(96,1),(99,1),(108,1),(146,1),(149,1),(168,1),(208,1)}
       124:{1,2,4,6}:{(96,1),(97,1),(100,1),(147,1),(150,1),(155,1),(191,1),(194,1)}
       125:{3,5,7}:{(97,1),(98,1),(110,1),(150,1)}
       126:{1,3,4,7}:{(98,1),(102,1),(111,1),(151,1),(153,1),(156,1)}
       127:{2,3,4,7}:{(98,1),(112,1),(152,1),(153,1),(196,1),(209,1)}
       128:{2,4,6,7}:{(99,1),(100,1),(113,1),(154,1)}
       129:{3,4,6}:{(100,1),(101,1),(119,1),(150,1),(155,1)}
       130:{1,4,5,7}:{(101,1),(102,1),(115,1),(120,1),(151,1),(155,1)}
       131:{1,2,4,7}:{(102,1),(103,1),(104,1),(117,1),(156,1)}
       132:{1,3,5,7}:{(105,1),(106,1),(108,1),(157,1),(161,1)}
       133:{1,4,6}:{(106,1),(107,1),(157,1),(158,1)}
       134:{3,4,5}:{(107,1),(110,1),(158,1),(160,1)}
       135:{1,2,4,5,7}:{(108,1),(109,1),(113,1),(149,1),(157,1),(161,1),(166,1),(188,1),(196,1),(199,1),(208,1)}
       136:{3,5,6}:{(109,1),(110,1),(150,1),(158,1),(161,1)}
       137:{1,3,5}:{(110,1),(111,1),(115,1),(164,1)}
       138:{2,3,5}:{(110,1),(112,1),(160,1),(164,1)}
       139:{1,2,4,6}:{(111,1),(112,1),(153,1),(164,1),(165,1),(194,1),(200,1)}
       140:{3,4,5,7}:{(113,1),(114,1),(154,1),(161,1),(166,1)}
       141:{1,4,5,6}:{(114,1),(115,1),(155,1),(162,1),(166,1)}
       142:{1,2,4,5}:{(115,1),(116,1),(117,1),(164,1),(167,1),(200,1)}
       143:{1,3,6}:{(117,1),(156,1),(167,1)}
       144:{3,5,6,7}:{(118,1),(119,1),(154,1),(168,1)}
       145:{1,5,6}:{(119,1),(120,1),(155,1)}
       146:{1,3,5,6,7}:{(121,1),(123,1),(132,1),(170,1),(173,1),(201,1)}
       147:{1,4,6}:{(121,1),(122,1),(171,1)}
       148:{3,4,5,7}:{(122,1),(125,1),(134,1),(171,1),(172,1),(179,1),(201,1)}
       149:{1,2,4,6,7}:{(123,1),(124,1),(128,1),(135,1),(170,1),(173,1),(178,1),(203,1),(204,1)}
       150:{3,6}:{(124,1),(125,1)}
       151:{1,3,5,7}:{(125,1),(126,1),(130,1),(137,1),(174,1),(176,1)}
       152:{2,3,5,7}:{(125,1),(127,1),(138,1),(172,1),(175,1),(176,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(139,1),(176,1),(177,1)}
       154:{3,4,6,7}:{(128,1),(129,1),(140,1),(144,1),(173,1),(178,1)}
       155:{1,4,6}:{(129,1),(130,1),(145,1),(174,1)}
       156:{1,3,7}:{(131,1),(143,1)}
       157:{1,4,7}:{(132,1),(133,1),(179,1)}
       158:{3,4,6}:{(133,1),(134,1),(136,1),(179,1),(181,1)}
       159:{1,3,4,5}:{(134,1),(137,1),(180,1),(182,1),(187,1)}
       160:{2,4,5}:{(134,1),(138,1),(181,1)}
       161:{3,5,7}:{(135,1),(136,1),(173,1),(179,1)}
       162:{1,3,5,6}:{(136,1),(137,1),(141,1),(174,1),(180,1),(183,1),(185,1)}
       163:{2,3,5,6}:{(136,1),(138,1),(175,1),(181,1),(184,1),(185,1),(202,1),(206,1)}
       164:{1,2,5}:{(137,1),(138,1),(139,1)}
       165:{1,2,3,6}:{(139,1),(143,1),(177,1),(186,1),(206,1)}
       166:{1,4,5,7}:{(140,1),(141,1),(178,1),(183,1)}
       167:{1,3,5}:{(142,1),(143,1),(187,1)}
       168:{1,5,6,7}:{(144,1),(145,1),(178,1)}
       169:{1,4,5,6}:{(147,1),(188,1),(189,1)}
       170:{1,4,6,7}:{(146,1),(147,1),(157,1),(188,1),(190,1)}
       171:{3,4,6}:{(147,1),(148,1),(150,1),(189,1),(191,1)}
       172:{2,4,5,7}:{(148,1),(152,1),(160,1),(191,1),(196,1),(208,1)}
       173:{3,6,7}:{(149,1),(150,1),(161,1)}
       174:{1,3,6}:{(150,1),(151,1),(155,1),(194,1)}
       175:{2,3,6}:{(150,1),(152,1),(191,1),(194,1)}
       176:{1,2,5,7}:{(151,1),(152,1),(153,1),(164,1),(194,1)}
       177:{1,2,3,7}:{(153,1),(156,1),(165,1),(209,1)}
       178:{1,4,6,7}:{(154,1),(155,1),(166,1),(168,1),(192,1)}
       179:{3,4,7}:{(157,1),(158,1),(161,1),(196,1)}
       180:{1,3,4,6}:{(158,1),(159,1),(162,1),(195,1),(197,1)}
       181:{2,4,6}:{(158,1),(160,1),(163,1),(196,1)}
       182:{1,2,4,5}:{(159,1),(160,1),(164,1),(197,1),(198,1),(200,1)}
       183:{1,3,5,7}:{(161,1),(162,1),(166,1),(192,1),(195,1),(199,1)}
       184:{2,3,5,7}:{(161,1),(163,1),(193,1),(196,1),(199,1),(208,1),(209,1)}
       185:{1,2,5,6}:{(162,1),(163,1),(164,1),(194,1),(197,1),(199,1)}
       186:{1,2,3,5}:{(164,1),(165,1),(167,1),(198,1),(200,1)}
       187:{1,3,4}:{(167,1),(200,1)}
       188:{1,4,5,7}:{(169,1),(170,1),(201,1)}
       189:{3,5,6}:{(169,1),(171,1),(201,1),(202,1)}
       190:{3,4,6,7}:{(170,1),(171,1),(173,1),(179,1),(201,1),(203,1)}
       191:{2,4,6}:{(171,1),(172,1),(175,1),(202,1)}
       192:{1,3,6,7}:{(173,1),(174,1),(178,1),(183,1),(204,1)}
       193:{2,3,6,7}:{(173,1),(175,1),(184,1),(203,1),(204,1)}
       194:{1,2,6}:{(174,1),(175,1),(176,1)}
       195:{1,3,4,7}:{(179,1),(180,1),(183,1),(205,1)}
       196:{2,4,7}:{(179,1),(181,1),(184,1)}
       197:{1,2,4,6}:{(180,1),(181,1),(182,1),(185,1),(205,1),(206,1)}
       198:{2,3,5}:{(182,1),(206,1),(207,1)}
       199:{1,2,5,7}:{(183,1),(184,1),(185,1),(204,1),(205,1)}
       200:{1,2,4}:{(186,1),(187,1),(207,1)}
       201:{3,5,7}:{(188,1),(189,1),(190,1),(208,1)}
       202:{2,5,6}:{(189,1),(191,1),(208,1)}
       203:{2,4,6,7}:{(190,1),(191,1),(193,1),(196,1),(208,1)}
       204:{1,2,6,7}:{(192,1),(193,1),(194,1),(199,1)}
       205:{1,2,4,7}:{(195,1),(196,1),(197,1),(199,1),(209,1)}
       206:{2,3,6}:{(197,1),(198,1),(209,1)}
       207:{2,3,4}:{(198,1),(200,1)}
       208:{2,5,7}:{(201,1),(202,1),(203,1)}
       209:{2,3,7}:{(205,1),(206,1)}

1664 :   0:{1,2,3,6,7}:{(2,1),(3,1),(36,1),(44,1),(80,1),(81,1),(82,1),(104,1)}
         1:{1,3,4,6,7}:{(3,1),(4,1),(13,1),(17,1),(38,1),(44,1),(49,1),(82,1),(100,1),(104,1)}
         2:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(23,1),(26,1),(54,1),(61,1),(93,1),(94,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(7,1),(8,1),(27,1),(56,1),(67,1),(86,1),(95,1),(103,1)}
         4:{1,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(26,1),(58,1),(66,1)}
         5:{2,3,4,6,7}:{(3,1),(11,1),(13,1),(34,1),(37,1),(44,1),(71,1),(81,1),(99,1),(104,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(15,1),(36,1),(39,1),(44,1),(76,1),(77,1),(78,1),(80,1)}
         7:{1,2,4,7}:{(2,1),(12,1),(13,1),(72,1),(99,1),(100,1)}
         8:{1,2,5,7}:{(3,1),(4,1),(11,1),(15,1),(76,1),(83,1),(96,1)}
         9:{1,4,5,7}:{(4,1),(16,1),(17,1),(74,1),(100,1)}
        10:{1,3,5,6}:{(4,1),(15,1),(17,1),(44,1),(46,1)}
        11:{2,3,5,7}:{(5,1),(8,1),(19,1),(20,1),(26,1),(57,1),(85,1)}
        12:{1,2,4,6}:{(6,1),(7,1),(21,1),(22,1),(89,1),(90,1)}
        13:{3,4,7}:{(7,1),(21,1),(26,1),(87,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(19,1),(22,1),(26,1),(27,1),(30,1),(51,1),(61,1),(88,1),(103,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(20,1),(27,1),(65,1),(84,1)}
        16:{3,4,5,7}:{(9,1),(26,1),(30,1),(31,1),(55,1),(66,1),(91,1)}
        17:{1,4,6}:{(9,1),(10,1),(31,1)}
        18:{1,3,5,6,7}:{(10,1),(28,1),(32,1),(64,1),(66,1),(94,1)}
        19:{2,4,5,7}:{(11,1),(33,1),(34,1),(73,1),(99,1)}
        20:{2,3,5,6}:{(11,1),(15,1),(34,1),(44,1),(68,1)}
        21:{3,4,6}:{(12,1),(13,1),(39,1),(44,1)}
        22:{1,2,4,5}:{(12,1),(39,1),(73,1),(74,1),(76,1)}
        23:{1,2,3,7}:{(36,1),(41,1),(104,1)}
        24:{2,3,4,7}:{(13,1),(37,1),(41,1),(42,1),(99,1),(104,1)}
        25:{1,3,4,7}:{(13,1),(38,1),(41,1),(43,1),(100,1),(104,1)}
        26:{3,5,7}:{(13,1),(14,1),(39,1),(44,1),(97,1),(104,1)}
        27:{1,2,4,6}:{(14,1),(15,1),(17,1),(34,1),(44,1),(48,1),(70,1),(80,1)}
        28:{1,2,5,6,7}:{(15,1),(18,1),(35,1),(45,1),(83,1),(96,1),(101,1)}
        29:{1,4,5,6}:{(17,1),(46,1),(47,1)}
        30:{2,4,5,7}:{(16,1),(42,1),(48,1),(73,1),(83,1),(99,1)}
        31:{3,4,6}:{(16,1),(17,1),(44,1),(46,1),(48,1)}
        32:{1,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(100,1)}
        33:{3,4,5,7}:{(19,1),(26,1),(51,1),(52,1),(55,1),(85,1),(91,1)}
        34:{2,4,6}:{(19,1),(20,1),(52,1)}
        35:{2,3,5,6,7}:{(20,1),(28,1),(53,1),(64,1),(85,1),(93,1)}
        36:{1,2,3,6}:{(23,1),(54,1),(56,1),(102,1)}
        37:{2,3,4,6}:{(21,1),(24,1),(56,1),(57,1),(62,1),(87,1),(89,1),(102,1)}
        38:{1,3,4,6}:{(21,1),(25,1),(56,1),(58,1),(63,1),(87,1),(90,1),(102,1)}
        39:{3,5}:{(21,1),(22,1)}
        40:{1,2,4,5,6}:{(22,1),(27,1),(29,1),(50,1),(59,1),(60,1),(65,1),(84,1),(89,1),(90,1),(92,1)}
        41:{1,2,4,7}:{(23,1),(24,1),(25,1),(56,1),(61,1)}
        42:{2,3,5,7}:{(24,1),(26,1),(30,1),(57,1),(61,1),(62,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(51,1),(58,1),(61,1),(63,1)}
        44:{3,6}:{(26,1),(27,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(32,1),(53,1),(60,1),(64,1),(67,1),(86,1),(95,1),(103,1)}
        46:{3,5,6}:{(29,1),(31,1),(65,1),(66,1)}
        47:{1,4,5,7}:{(29,1),(32,1),(66,1)}
        48:{2,4,6}:{(30,1),(31,1),(62,1),(65,1)}
        49:{3,4,6,7}:{(31,1),(32,1),(64,1),(66,1),(67,1),(91,1)}
        50:{2,4,5,6}:{(34,1),(68,1),(69,1)}
        51:{1,4,5,7}:{(33,1),(43,1),(70,1),(74,1),(96,1),(100,1)}
        52:{3,4,6}:{(33,1),(34,1),(44,1),(68,1),(70,1)}
        53:{2,4,6,7}:{(34,1),(35,1),(69,1),(71,1),(99,1)}
        54:{1,2,3,5}:{(36,1),(72,1),(76,1),(97,1)}
        55:{3,4,5}:{(39,1),(73,1),(74,1),(75,1),(97,1)}
        56:{1,2,4,6}:{(36,1),(37,1),(38,1),(41,1),(72,1),(76,1),(80,1)}
        57:{2,3,5}:{(37,1),(39,1),(73,1),(76,1),(97,1)}
        58:{1,3,5}:{(38,1),(39,1),(74,1),(76,1),(97,1)}
        59:{3,5,6}:{(39,1),(40,1),(44,1),(75,1),(79,1)}
        60:{1,2,4,5,7}:{(40,1),(45,1),(47,1),(69,1),(79,1),(83,1),(96,1),(99,1),(100,1),(101,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(43,1),(76,1),(80,1)}
        62:{2,3,6}:{(42,1),(44,1),(48,1),(80,1)}
        63:{1,3,6}:{(43,1),(44,1),(70,1),(80,1)}
        64:{3,6,7}:{(44,1),(45,1),(79,1),(104,1)}
        65:{2,5,6}:{(46,1),(48,1),(83,1)}
        66:{3,5,7}:{(46,1),(47,1),(49,1),(83,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(81,1),(83,1),(99,1)}
        68:{3,5,6}:{(50,1),(52,1),(84,1),(85,1)}
        69:{2,4,5,7}:{(50,1),(53,1),(85,1)}
        70:{1,4,6}:{(51,1),(52,1),(63,1),(84,1)}
        71:{3,4,6,7}:{(52,1),(53,1),(64,1),(85,1),(86,1),(91,1)}
        72:{1,2,4}:{(54,1),(87,1)}
        73:{2,4,5}:{(55,1),(57,1),(89,1)}
        74:{1,4,5}:{(55,1),(58,1),(90,1)}
        75:{3,4,6}:{(55,1),(59,1),(89,1),(90,1),(91,1),(102,1)}
        76:{1,2,5}:{(56,1),(57,1),(58,1)}
        77:{2,3,5,6}:{(57,1),(59,1),(62,1),(65,1),(89,1),(92,1),(93,1),(102,1)}
        78:{1,3,5,6}:{(58,1),(59,1),(63,1),(84,1),(90,1),(92,1),(94,1),(102,1)}
        79:{3,5,7}:{(59,1),(60,1),(64,1),(91,1)}
        80:{1,2,6}:{(61,1),(62,1),(63,1)}
        81:{2,3,6,7}:{(62,1),(64,1),(67,1),(93,1),(95,1)}
        82:{1,3,6,7}:{(63,1),(64,1),(86,1),(94,1),(95,1)}
        83:{2,5,7}:{(65,1),(66,1),(67,1)}
        84:{1,5,6}:{(68,1),(70,1),(96,1)}
        85:{3,5,7}:{(68,1),(69,1),(71,1),(96,1)}
        86:{1,4,6,7}:{(70,1),(71,1),(82,1),(96,1),(100,1)}
        87:{3,4}:{(72,1),(97,1)}
        88:{1,2,4,5}:{(72,1),(73,1),(74,1),(76,1),(97,1),(98,1)}
        89:{2,4,6}:{(73,1),(75,1),(77,1),(99,1)}
        90:{1,4,6}:{(74,1),(75,1),(78,1),(100,1)}
        91:{3,4,7}:{(75,1),(79,1),(99,1),(100,1),(104,1)}
        92:{1,2,5,6}:{(76,1),(77,1),(78,1),(80,1),(98,1),(101,1)}
        93:{2,3,5,7}:{(77,1),(79,1),(81,1),(83,1),(99,1),(101,1),(104,1)}
        94:{1,3,5,7}:{(78,1),(79,1),(82,1),(96,1),(100,1),(101,1),(104,1)}
        95:{1,2,6,7}:{(80,1),(81,1),(82,1),(101,1)}
        96:{1,5,7}:{(84,1),(85,1),(86,1)}
        97:{3,5}:{(87,1),(88,1),(102,1)}
        98:{1,2,4,6}:{(88,1),(89,1),(90,1),(92,1),(102,1),(103,1)}
        99:{2,4,7}:{(89,1),(91,1),(93,1)}
       100:{1,4,7}:{(90,1),(91,1),(94,1)}
       101:{1,2,5,7}:{(92,1),(93,1),(94,1),(95,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1665 :   0:{1,2,3,6,7}:{(2,1),(3,1),(42,1),(73,1),(79,1),(80,1),(81,1),(104,1)}
         1:{1,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(34,1),(42,1),(46,1),(79,1),(94,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(8,1),(25,1),(53,1),(65,1),(92,1),(93,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(26,1),(63,1),(64,1),(86,1),(87,1),(89,1)}
         4:{1,3,5,7}:{(1,1),(7,1),(9,1),(10,1),(26,1),(51,1),(54,1)}
         5:{1,2,3,5,6}:{(3,1),(11,1),(13,1),(33,1),(42,1),(70,1),(71,1),(72,1),(73,1),(81,1)}
         6:{2,3,4,6,7}:{(2,1),(12,1),(15,1),(35,1),(39,1),(42,1),(77,1),(80,1),(95,1),(104,1)}
         7:{1,2,5,7}:{(2,1),(4,1),(12,1),(13,1),(72,1),(74,1),(100,1)}
         8:{1,2,4,7}:{(3,1),(11,1),(15,1),(94,1),(95,1),(99,1)}
         9:{1,3,5,6}:{(4,1),(13,1),(17,1),(37,1),(42,1)}
        10:{1,4,5,7}:{(4,1),(17,1),(18,1),(67,1),(94,1)}
        11:{1,2,4,6}:{(5,1),(8,1),(19,1),(20,1),(83,1),(84,1)}
        12:{2,3,5,7}:{(6,1),(7,1),(22,1),(23,1),(26,1),(52,1),(90,1)}
        13:{1,2,5,6}:{(7,1),(9,1),(22,1),(25,1),(55,1),(91,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(10,1),(19,1),(23,1),(25,1),(26,1),(31,1),(59,1),(63,1),(85,1),(101,1)}
        15:{3,4,7}:{(8,1),(20,1),(26,1),(103,1)}
        16:{1,3,5,6,7}:{(9,1),(24,1),(29,1),(54,1),(60,1),(86,1)}
        17:{1,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(26,1),(30,1),(31,1),(48,1),(54,1),(82,1)}
        19:{1,2,4,5}:{(11,1),(33,1),(67,1),(68,1),(72,1)}
        20:{3,4,6}:{(11,1),(15,1),(33,1),(42,1)}
        21:{1,4,5,6}:{(17,1),(36,1),(37,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(39,1),(42,1),(76,1)}
        23:{2,4,5,7}:{(12,1),(39,1),(40,1),(68,1),(95,1)}
        24:{1,2,5,6,7}:{(13,1),(16,1),(38,1),(41,1),(74,1),(98,1),(100,1)}
        25:{1,2,4,6}:{(13,1),(14,1),(17,1),(39,1),(42,1),(47,1),(78,1),(81,1)}
        26:{3,5,7}:{(14,1),(15,1),(33,1),(42,1),(97,1),(104,1)}
        27:{1,3,4,7}:{(15,1),(34,1),(43,1),(45,1),(94,1),(104,1)}
        28:{2,3,4,7}:{(15,1),(35,1),(44,1),(45,1),(95,1),(104,1)}
        29:{1,4,6,7}:{(16,1),(17,1),(36,1),(46,1),(94,1)}
        30:{3,4,6}:{(17,1),(18,1),(37,1),(42,1),(47,1)}
        31:{2,4,5,7}:{(18,1),(44,1),(47,1),(68,1),(74,1),(95,1)}
        32:{1,2,4,5,6}:{(19,1),(21,1),(25,1),(49,1),(50,1),(55,1),(56,1),(83,1),(84,1),(88,1),(91,1)}
        33:{3,5}:{(19,1),(20,1)}
        34:{1,3,4,6}:{(20,1),(27,1),(51,1),(53,1),(61,1),(83,1),(102,1),(103,1)}
        35:{2,3,4,6}:{(20,1),(28,1),(52,1),(53,1),(62,1),(84,1),(102,1),(103,1)}
        36:{1,4,5,7}:{(21,1),(29,1),(54,1)}
        37:{3,5,6}:{(21,1),(30,1),(54,1),(55,1)}
        38:{2,3,5,6,7}:{(22,1),(24,1),(57,1),(60,1),(87,1),(90,1)}
        39:{2,4,6}:{(22,1),(23,1),(58,1)}
        40:{3,4,5,7}:{(23,1),(26,1),(48,1),(58,1),(59,1),(82,1),(90,1)}
        41:{1,2,4,6,7}:{(24,1),(25,1),(29,1),(49,1),(57,1),(60,1),(65,1),(92,1),(93,1),(101,1)}
        42:{3,6}:{(25,1),(26,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(51,1),(59,1),(61,1),(63,1)}
        44:{2,3,5,7}:{(26,1),(28,1),(31,1),(52,1),(62,1),(63,1)}
        45:{1,2,4,7}:{(27,1),(28,1),(53,1),(63,1),(64,1)}
        46:{3,4,6,7}:{(29,1),(30,1),(54,1),(60,1),(65,1),(82,1)}
        47:{2,4,6}:{(30,1),(31,1),(55,1),(62,1)}
        48:{3,4,5}:{(33,1),(66,1),(67,1),(68,1),(97,1)}
        49:{1,2,4,5,7}:{(32,1),(36,1),(41,1),(69,1),(74,1),(75,1),(94,1),(95,1),(98,1),(100,1)}
        50:{3,5,6}:{(32,1),(33,1),(42,1),(66,1),(69,1)}
        51:{1,3,5}:{(33,1),(34,1),(67,1),(72,1),(97,1)}
        52:{2,3,5}:{(33,1),(35,1),(68,1),(72,1),(97,1)}
        53:{1,2,4,6}:{(34,1),(35,1),(45,1),(72,1),(73,1),(81,1),(99,1)}
        54:{3,5,7}:{(36,1),(37,1),(46,1),(74,1)}
        55:{2,5,6}:{(37,1),(47,1),(74,1)}
        56:{2,4,5,6}:{(39,1),(75,1),(76,1)}
        57:{2,4,6,7}:{(38,1),(39,1),(75,1),(77,1),(95,1)}
        58:{3,4,6}:{(39,1),(40,1),(42,1),(76,1),(78,1)}
        59:{1,4,5,7}:{(40,1),(43,1),(67,1),(78,1),(94,1),(100,1)}
        60:{3,6,7}:{(41,1),(42,1),(69,1),(104,1)}
        61:{1,3,6}:{(42,1),(43,1),(78,1),(81,1)}
        62:{2,3,6}:{(42,1),(44,1),(47,1),(81,1)}
        63:{1,2,5,7}:{(43,1),(44,1),(45,1),(72,1),(81,1)}
        64:{1,2,3,7}:{(45,1),(73,1),(104,1)}
        65:{2,4,6,7}:{(46,1),(47,1),(74,1),(80,1),(95,1)}
        66:{3,4,6}:{(48,1),(50,1),(82,1),(83,1),(84,1),(102,1)}
        67:{1,4,5}:{(48,1),(51,1),(83,1)}
        68:{2,4,5}:{(48,1),(52,1),(84,1)}
        69:{3,5,7}:{(49,1),(50,1),(60,1),(82,1)}
        70:{1,3,5,6}:{(50,1),(51,1),(61,1),(83,1),(86,1),(88,1),(91,1),(102,1)}
        71:{2,3,5,6}:{(50,1),(52,1),(55,1),(62,1),(84,1),(87,1),(88,1),(102,1)}
        72:{1,2,5}:{(51,1),(52,1),(53,1)}
        73:{1,2,3,6}:{(53,1),(64,1),(89,1),(102,1)}
        74:{2,5,7}:{(54,1),(55,1),(65,1)}
        75:{2,4,5,7}:{(56,1),(57,1),(90,1)}
        76:{3,5,6}:{(56,1),(58,1),(90,1),(91,1)}
        77:{3,4,6,7}:{(57,1),(58,1),(60,1),(82,1),(90,1),(92,1)}
        78:{1,4,6}:{(58,1),(59,1),(61,1),(91,1)}
        79:{1,3,6,7}:{(60,1),(61,1),(86,1),(92,1),(93,1)}
        80:{2,3,6,7}:{(60,1),(62,1),(65,1),(87,1),(93,1)}
        81:{1,2,6}:{(61,1),(62,1),(63,1)}
        82:{3,4,7}:{(66,1),(69,1),(94,1),(95,1),(104,1)}
        83:{1,4,6}:{(66,1),(67,1),(70,1),(94,1)}
        84:{2,4,6}:{(66,1),(68,1),(71,1),(95,1)}
        85:{1,2,4,5}:{(67,1),(68,1),(72,1),(96,1),(97,1),(99,1)}
        86:{1,3,5,7}:{(69,1),(70,1),(79,1),(94,1),(98,1),(100,1),(104,1)}
        87:{2,3,5,7}:{(69,1),(71,1),(74,1),(80,1),(95,1),(98,1),(104,1)}
        88:{1,2,5,6}:{(70,1),(71,1),(72,1),(81,1),(96,1),(98,1)}
        89:{1,2,3,5}:{(72,1),(73,1),(97,1),(99,1)}
        90:{3,5,7}:{(75,1),(76,1),(77,1),(100,1)}
        91:{1,5,6}:{(76,1),(78,1),(100,1)}
        92:{1,4,6,7}:{(77,1),(78,1),(79,1),(94,1),(100,1)}
        93:{1,2,6,7}:{(79,1),(80,1),(81,1),(98,1)}
        94:{1,4,7}:{(82,1),(83,1),(86,1)}
        95:{2,4,7}:{(82,1),(84,1),(87,1)}
        96:{1,2,4,6}:{(83,1),(84,1),(85,1),(88,1),(101,1),(102,1)}
        97:{3,5}:{(85,1),(102,1),(103,1)}
        98:{1,2,5,7}:{(86,1),(87,1),(88,1),(93,1),(101,1)}
        99:{1,2,4}:{(89,1),(103,1)}
       100:{1,5,7}:{(90,1),(91,1),(92,1)}
       101:{1,2,4,7}:{(94,1),(95,1),(96,1),(98,1),(104,1)}
       102:{3,6}:{(96,1),(97,1),(104,1)}
       103:{3,4}:{(97,1),(99,1)}
       104:{3,7}:{(101,1),(102,1)}

1666 :   0:{1,2,3,6}:{(3,1),(5,1),(8,1),(93,1),(105,1)}
         1:{1,3,4,6}:{(6,1),(8,1),(9,1),(41,1),(44,1),(48,1),(95,1),(105,1)}
         2:{1,4,5,6}:{(10,1),(11,1),(35,1),(44,1),(98,1)}
         3:{1,2,3,5}:{(0,1),(12,1),(17,1),(25,1),(61,1),(71,1)}
         4:{3,4,5}:{(18,1),(19,1),(20,1),(71,1)}
         5:{1,2,3,7}:{(0,1),(21,1),(112,1),(129,1),(138,1)}
         6:{1,3,4,7}:{(1,1),(21,1),(22,1),(66,1),(74,1),(113,1),(138,1)}
         7:{1,5,6,7}:{(16,1),(23,1),(126,1),(133,1)}
         8:{1,2,4,6}:{(0,1),(1,1),(17,1),(21,1),(24,1),(25,1),(76,1)}
         9:{1,3,5}:{(1,1),(19,1),(25,1),(71,1),(130,1)}
        10:{3,5,6}:{(2,1),(20,1),(26,1),(28,1)}
        11:{1,4,5,7}:{(2,1),(23,1),(28,1),(65,1),(74,1),(133,1)}
        12:{1,2,3}:{(32,1)}
        13:{2,3,4}:{(32,1),(33,1),(41,1)}
        14:{1,2,3,5,7}:{(3,1),(5,1),(29,1),(34,1),(36,1),(47,1),(82,1),(89,1),(96,1),(100,1)}
        15:{3,4,5,7}:{(4,1),(37,1),(38,1),(39,1),(45,1),(83,1),(99,1),(100,1),(149,1),(159,1),(202,1)}
        16:{3,5,6,7}:{(7,1),(31,1),(40,1),(49,1),(91,1),(99,1)}
        17:{1,2,4}:{(3,1),(41,1)}
        18:{2,4,5}:{(4,1),(33,1),(43,1)}
        19:{1,4,5}:{(4,1),(9,1),(44,1),(159,1)}
        20:{3,4,6}:{(4,1),(10,1),(43,1),(44,1),(45,1),(105,1)}
        21:{1,2,4,7}:{(5,1),(6,1),(8,1),(46,1),(47,1),(143,1)}
        22:{1,3,5,7}:{(6,1),(9,1),(38,1),(47,1),(48,1),(100,1),(144,1),(192,1)}
        23:{1,4,6,7}:{(7,1),(11,1),(40,1),(49,1)}
        24:{2,3,4,6}:{(8,1),(41,1),(46,1),(50,1),(95,1),(105,1),(108,1),(110,1)}
        25:{1,2,5}:{(8,1),(9,1),(50,1)}
        26:{2,5,6}:{(10,1),(43,1),(52,1)}
        27:{1,3,5,6}:{(9,1),(10,1),(44,1),(48,1),(51,1),(53,1),(98,1),(105,1),(160,1)}
        28:{3,5,7}:{(10,1),(11,1),(45,1),(49,1),(52,1)}
        29:{1,2,3,7}:{(12,1),(54,1),(57,1),(208,1),(210,1)}
        30:{2,3,4,7}:{(13,1),(55,1),(57,1),(58,1),(66,1),(174,1),(210,1)}
        31:{2,5,6,7}:{(16,1),(59,1),(77,1),(132,1)}
        32:{1,2,4}:{(12,1),(13,1),(60,1),(61,1)}
        33:{2,3,5}:{(13,1),(18,1),(61,1),(62,1),(71,1)}
        34:{1,2,3,6}:{(14,1),(63,1),(76,1),(124,1),(135,1)}
        35:{4,5,6}:{(64,1),(65,1),(183,1)}
        36:{1,2,4,7}:{(14,1),(17,1),(63,1),(66,1),(114,1)}
        37:{2,4,5,7}:{(15,1),(18,1),(58,1),(68,1),(73,1),(115,1),(132,1),(174,1)}
        38:{1,4,5,7}:{(15,1),(19,1),(22,1),(69,1),(74,1),(116,1),(133,1),(175,1)}
        39:{3,4,6}:{(15,1),(64,1),(68,1),(69,1),(135,1),(183,1)}
        40:{4,6,7}:{(16,1),(65,1)}
        41:{3,4}:{(17,1),(71,1)}
        42:{1,2,4,5}:{(17,1),(18,1),(19,1),(25,1),(61,1),(71,1),(72,1),(79,1),(127,1)}
        43:{2,4,6}:{(18,1),(20,1),(26,1),(62,1),(73,1)}
        44:{1,4,6}:{(19,1),(20,1),(27,1),(74,1),(183,1)}
        45:{3,4,7}:{(20,1),(28,1),(73,1),(74,1),(138,1)}
        46:{2,3,4,7}:{(21,1),(24,1),(66,1),(75,1),(138,1),(142,1),(169,1)}
        47:{1,2,5,7}:{(21,1),(22,1),(25,1),(75,1),(76,1),(170,1),(208,1)}
        48:{1,3,6}:{(22,1),(69,1),(76,1),(135,1)}
        49:{3,6,7}:{(23,1),(28,1),(77,1)}
        50:{2,3,5}:{(24,1),(25,1),(71,1),(79,1),(130,1)}
        51:{1,2,5,6}:{(25,1),(26,1),(27,1),(72,1),(76,1),(80,1),(81,1),(181,1)}
        52:{2,5,7}:{(26,1),(28,1),(73,1),(77,1)}
        53:{1,3,5,7}:{(27,1),(28,1),(74,1),(78,1),(81,1),(133,1),(138,1),(184,1)}
        54:{1,2,3,6}:{(29,1),(82,1),(84,1),(191,1),(194,1)}
        55:{2,3,4,6}:{(30,1),(84,1),(85,1),(90,1),(95,1),(145,1),(147,1),(194,1)}
        56:{2,4,5,6}:{(35,1),(86,1),(87,1),(97,1),(147,1)}
        57:{1,2,4,7}:{(29,1),(30,1),(32,1),(84,1),(88,1),(89,1)}
        58:{2,3,5,7}:{(30,1),(33,1),(37,1),(85,1),(89,1),(90,1),(94,1),(100,1)}
        59:{2,4,6,7}:{(31,1),(40,1),(87,1),(91,1)}
        60:{1,3,4}:{(32,1),(41,1),(92,1)}
        61:{1,2,5}:{(32,1),(33,1),(92,1),(93,1)}
        62:{2,3,6}:{(33,1),(43,1),(93,1),(94,1),(105,1)}
        63:{1,2,4,6}:{(34,1),(36,1),(95,1),(96,1)}
        64:{3,5,6}:{(35,1),(39,1),(97,1),(98,1),(99,1)}
        65:{4,5,7}:{(35,1),(40,1),(99,1),(202,1)}
        66:{3,4,7}:{(36,1),(41,1),(95,1),(100,1),(145,1),(202,1)}
        67:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(42,1),(47,1),(89,1),(96,1),(100,1),(101,1),(106,1),(107,1),(146,1),(154,1),(159,1),(161,1),(195,1),(202,1)}
        68:{2,4,6}:{(37,1),(39,1),(90,1),(97,1)}
        69:{1,4,6}:{(38,1),(39,1),(48,1),(98,1)}
        70:{3,4,6,7}:{(39,1),(40,1),(45,1),(49,1),(91,1),(99,1),(102,1),(103,1),(149,1),(163,1),(202,1)}
        71:{3,5}:{(41,1),(42,1),(105,1)}
        72:{1,2,4,6}:{(42,1),(43,1),(44,1),(51,1),(93,1),(105,1),(106,1),(110,1),(157,1)}
        73:{2,4,7}:{(43,1),(45,1),(52,1),(94,1)}
        74:{1,4,7}:{(44,1),(45,1),(53,1),(202,1)}
        75:{2,3,5,7}:{(46,1),(47,1),(50,1),(100,1),(107,1),(108,1),(190,1),(218,1)}
        76:{1,2,6}:{(47,1),(48,1),(108,1)}
        77:{2,6,7}:{(49,1),(52,1)}
        78:{1,3,6,7}:{(48,1),(49,1),(53,1),(103,1),(109,1),(163,1),(192,1)}
        79:{2,4,5}:{(50,1),(104,1),(110,1),(159,1)}
        80:{2,3,5,6}:{(50,1),(51,1),(105,1),(108,1),(110,1),(111,1),(160,1),(164,1),(166,1)}
        81:{1,2,5,7}:{(51,1),(52,1),(53,1),(106,1),(109,1),(111,1),(200,1)}
        82:{1,2,3,5}:{(54,1),(112,1),(114,1),(119,1),(170,1),(172,1)}
        83:{3,4,5}:{(115,1),(116,1),(117,1),(172,1)}
        84:{1,2,4,6}:{(54,1),(55,1),(57,1),(114,1),(118,1),(119,1),(124,1)}
        85:{2,3,5}:{(55,1),(115,1),(119,1),(130,1),(172,1)}
        86:{3,5,6}:{(56,1),(117,1),(121,1),(122,1)}
        87:{2,4,5,7}:{(56,1),(59,1),(65,1),(122,1),(132,1),(174,1)}
        88:{1,3,4,7}:{(57,1),(60,1),(66,1),(118,1),(123,1),(210,1),(212,1)}
        89:{1,2,5,7}:{(57,1),(58,1),(61,1),(119,1),(123,1),(124,1),(129,1)}
        90:{2,3,6}:{(58,1),(68,1),(124,1),(135,1)}
        91:{3,6,7}:{(59,1),(122,1),(126,1)}
        92:{1,3,5}:{(60,1),(61,1),(71,1),(127,1),(128,1)}
        93:{1,2,6}:{(61,1),(62,1),(128,1),(129,1)}
        94:{2,3,7}:{(62,1),(73,1),(129,1),(138,1)}
        95:{3,4,6}:{(63,1),(66,1),(130,1),(135,1),(183,1)}
        96:{1,2,5}:{(63,1),(130,1)}
        97:{2,5,6}:{(64,1),(68,1),(132,1)}
        98:{1,5,6}:{(64,1),(69,1),(133,1)}
        99:{3,5,7}:{(64,1),(65,1),(70,1),(132,1),(133,1)}
       100:{3,5,7}:{(66,1),(67,1),(71,1),(130,1),(135,1),(138,1),(172,1),(210,1)}
       101:{1,2,4,6}:{(67,1),(68,1),(69,1),(76,1),(124,1),(131,1),(135,1),(139,1),(179,1),(183,1)}
       102:{2,4,6,7}:{(68,1),(70,1),(73,1),(77,1),(125,1),(132,1),(174,1)}
       103:{1,4,6,7}:{(69,1),(70,1),(74,1),(78,1),(126,1),(133,1),(175,1)}
       104:{3,4,5}:{(71,1),(79,1),(127,1),(137,1)}
       105:{3,6}:{(71,1),(72,1),(138,1)}
       106:{1,2,4,7}:{(72,1),(73,1),(74,1),(81,1),(129,1),(138,1),(142,1),(182,1)}
       107:{2,4,5,7}:{(75,1),(79,1),(134,1),(139,1),(142,1),(188,1),(206,1),(225,1)}
       108:{2,3,6}:{(75,1),(76,1),(135,1),(139,1)}
       109:{1,2,6,7}:{(76,1),(77,1),(78,1),(81,1),(140,1),(208,1),(214,1)}
       110:{2,4,6}:{(79,1),(80,1),(137,1),(142,1),(183,1)}
       111:{2,3,5,7}:{(80,1),(81,1),(138,1),(140,1),(142,1),(184,1),(187,1),(188,1)}
       112:{1,2,3}:{(143,1)}
       113:{1,3,4}:{(143,1),(144,1),(145,1)}
       114:{1,2,4}:{(82,1),(145,1)}
       115:{2,4,5}:{(83,1),(85,1),(147,1),(159,1)}
       116:{1,4,5}:{(83,1),(144,1),(148,1)}
       117:{3,4,6}:{(83,1),(86,1),(147,1),(148,1),(149,1),(194,1)}
       118:{1,3,4,6}:{(84,1),(88,1),(95,1),(145,1),(150,1),(155,1),(194,1),(196,1)}
       119:{1,2,5}:{(84,1),(85,1),(150,1)}
       120:{2,3,5,6}:{(85,1),(86,1),(90,1),(97,1),(147,1),(151,1),(152,1),(160,1),(194,1)}
       121:{1,5,6}:{(86,1),(148,1),(153,1)}
       122:{3,5,7}:{(86,1),(87,1),(91,1),(149,1),(153,1)}
       123:{1,3,5,7}:{(88,1),(89,1),(92,1),(100,1),(150,1),(154,1),(155,1),(158,1)}
       124:{1,2,6}:{(89,1),(90,1),(155,1)}
       125:{2,3,6,7}:{(90,1),(91,1),(94,1),(102,1),(152,1),(156,1),(163,1)}
       126:{1,6,7}:{(91,1),(153,1)}
       127:{1,4,5}:{(92,1),(104,1),(157,1)}
       128:{1,3,6}:{(92,1),(93,1),(105,1),(157,1),(158,1)}
       129:{1,2,7}:{(93,1),(94,1),(158,1)}
       130:{3,5}:{(95,1),(96,1),(159,1)}
       131:{1,2,5,6}:{(96,1),(97,1),(98,1),(101,1),(160,1),(161,1),(166,1),(198,1)}
       132:{2,5,7}:{(97,1),(99,1),(102,1)}
       133:{1,5,7}:{(98,1),(99,1),(103,1)}
       134:{3,4,5,7}:{(100,1),(104,1),(107,1),(154,1),(159,1),(162,1),(165,1),(193,1),(202,1),(203,1),(220,1)}
       135:{3,6}:{(100,1),(101,1)}
       136:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(106,1),(109,1),(156,1),(161,1),(163,1),(167,1),(195,1),(199,1),(202,1)}
       137:{3,4,6}:{(104,1),(105,1),(110,1),(157,1),(164,1),(165,1)}
       138:{3,7}:{(105,1),(106,1)}
       139:{2,4,6}:{(107,1),(108,1),(162,1),(166,1)}
       140:{2,3,6,7}:{(108,1),(109,1),(111,1),(163,1),(167,1),(204,1),(218,1)}
       141:{2,4,5,6}:{(110,1),(164,1),(166,1),(168,1),(201,1)}
       142:{2,4,7}:{(110,1),(111,1),(165,1),(202,1)}
       143:{1,2,4}:{(112,1),(113,1),(169,1),(170,1)}
       144:{1,3,5}:{(113,1),(116,1),(170,1),(171,1),(172,1)}
       145:{3,4}:{(114,1),(172,1)}
       146:{1,2,4,5}:{(114,1),(115,1),(116,1),(119,1),(170,1),(172,1),(173,1),(176,1),(206,1)}
       147:{2,4,6}:{(115,1),(117,1),(120,1),(174,1),(183,1)}
       148:{1,4,6}:{(116,1),(117,1),(121,1),(171,1),(175,1)}
       149:{3,4,7}:{(117,1),(122,1),(174,1),(175,1),(210,1)}
       150:{1,3,5}:{(118,1),(119,1),(130,1),(172,1),(176,1)}
       151:{1,2,5,6}:{(119,1),(120,1),(121,1),(124,1),(173,1),(177,1),(178,1),(224,1)}
       152:{2,3,5,7}:{(120,1),(122,1),(125,1),(132,1),(174,1),(178,1),(184,1),(210,1)}
       153:{1,5,7}:{(121,1),(122,1),(126,1),(175,1)}
       154:{1,4,5,7}:{(123,1),(127,1),(134,1),(176,1),(179,1),(182,1),(212,1),(213,1)}
       155:{1,3,6}:{(123,1),(124,1),(135,1),(179,1)}
       156:{1,2,6,7}:{(124,1),(125,1),(126,1),(129,1),(178,1),(180,1),(230,1)}
       157:{1,4,6}:{(127,1),(128,1),(137,1),(181,1),(182,1)}
       158:{1,3,7}:{(128,1),(129,1),(138,1),(182,1)}
       159:{4,5}:{(130,1),(183,1)}
       160:{3,5,6}:{(130,1),(131,1),(135,1),(183,1),(184,1)}
       161:{1,2,5,7}:{(131,1),(132,1),(133,1),(136,1),(184,1),(188,1),(213,1)}
       162:{3,4,6}:{(134,1),(135,1),(139,1),(179,1),(183,1),(185,1)}
       163:{3,6,7}:{(135,1),(136,1),(138,1),(184,1),(210,1)}
       164:{3,5,6}:{(137,1),(141,1),(181,1),(187,1)}
       165:{3,4,7}:{(137,1),(138,1),(142,1),(182,1),(187,1)}
       166:{2,5,6}:{(139,1),(185,1),(188,1)}
       167:{2,4,6,7}:{(139,1),(140,1),(142,1),(186,1),(188,1),(225,1),(230,1)}
       168:{2,4,5,7}:{(141,1),(142,1),(187,1),(188,1),(189,1),(215,1)}
       169:{2,3,4}:{(143,1),(145,1),(190,1)}
       170:{1,2,5}:{(143,1),(144,1),(190,1),(191,1)}
       171:{1,3,6}:{(144,1),(148,1),(191,1),(192,1),(194,1)}
       172:{3,5}:{(145,1),(146,1),(194,1)}
       173:{1,2,4,6}:{(146,1),(147,1),(148,1),(151,1),(191,1),(194,1),(195,1),(196,1),(217,1)}
       174:{2,4,7}:{(147,1),(149,1),(152,1),(202,1)}
       175:{1,4,7}:{(148,1),(149,1),(153,1),(192,1)}
       176:{1,4,5}:{(150,1),(159,1),(193,1),(196,1)}
       177:{1,3,5,6}:{(150,1),(151,1),(155,1),(160,1),(194,1),(196,1),(197,1),(198,1),(219,1)}
       178:{1,2,5,7}:{(151,1),(152,1),(153,1),(156,1),(195,1),(197,1),(228,1)}
       179:{1,4,6}:{(154,1),(155,1),(162,1),(198,1)}
       180:{1,3,6,7}:{(155,1),(156,1),(158,1),(163,1),(197,1),(199,1),(229,1)}
       181:{1,5,6}:{(157,1),(164,1),(200,1)}
       182:{1,4,7}:{(157,1),(158,1),(165,1),(200,1)}
       183:{4,6}:{(159,1),(160,1),(202,1)}
       184:{3,5,7}:{(160,1),(161,1),(163,1),(202,1)}
       185:{3,5,6}:{(162,1),(166,1),(198,1),(201,1),(203,1)}
       186:{3,4,6,7}:{(162,1),(163,1),(165,1),(167,1),(199,1),(202,1),(203,1),(204,1),(220,1),(223,1),(229,1)}
       187:{3,5,7}:{(164,1),(165,1),(168,1),(200,1),(204,1)}
       188:{2,5,7}:{(166,1),(167,1),(203,1)}
       189:{2,4,6,7}:{(168,1),(204,1),(205,1),(223,1)}
       190:{2,3,5}:{(169,1),(170,1),(172,1),(206,1),(207,1)}
       191:{1,2,6}:{(170,1),(171,1),(207,1),(208,1)}
       192:{1,3,7}:{(171,1),(175,1),(208,1),(210,1)}
       193:{3,4,5}:{(172,1),(176,1),(206,1),(209,1)}
       194:{3,6}:{(172,1),(173,1),(210,1)}
       195:{1,2,4,7}:{(173,1),(174,1),(175,1),(178,1),(208,1),(210,1),(212,1),(225,1)}
       196:{1,4,6}:{(176,1),(177,1),(183,1),(209,1),(212,1)}
       197:{1,3,5,7}:{(177,1),(178,1),(180,1),(184,1),(210,1),(212,1),(213,1),(226,1)}
       198:{1,5,6}:{(179,1),(185,1),(213,1)}
       199:{1,4,6,7}:{(179,1),(180,1),(182,1),(186,1),(212,1),(213,1),(214,1)}
       200:{1,5,7}:{(181,1),(182,1),(187,1),(214,1)}
       201:{4,5,6}:{(183,1),(185,1),(215,1)}
       202:{4,7}:{(183,1),(184,1)}
       203:{3,5,7}:{(185,1),(186,1),(188,1),(213,1),(215,1)}
       204:{3,6,7}:{(187,1),(189,1),(214,1)}
       205:{2,5,6,7}:{(188,1),(189,1),(216,1),(230,1)}
       206:{2,4,5}:{(190,1),(193,1),(217,1)}
       207:{2,3,6}:{(190,1),(191,1),(194,1),(217,1),(218,1)}
       208:{1,2,7}:{(191,1),(192,1),(218,1)}
       209:{3,4,6}:{(193,1),(194,1),(196,1),(217,1),(219,1),(220,1)}
       210:{3,7}:{(194,1),(195,1)}
       211:{1,4,5,6}:{(196,1),(198,1),(201,1),(219,1),(221,1)}
       212:{1,4,7}:{(196,1),(197,1),(202,1),(220,1)}
       213:{1,5,7}:{(198,1),(199,1),(203,1)}
       214:{1,6,7}:{(200,1),(204,1)}
       215:{4,5,7}:{(201,1),(202,1),(203,1),(223,1)}
       216:{3,5,6,7}:{(203,1),(204,1),(205,1),(222,1),(223,1),(229,1)}
       217:{2,4,6}:{(206,1),(207,1),(209,1),(224,1),(225,1)}
       218:{2,3,7}:{(207,1),(208,1),(210,1),(225,1)}
       219:{3,5,6}:{(209,1),(211,1),(224,1),(226,1)}
       220:{3,4,7}:{(209,1),(210,1),(212,1),(225,1),(226,1)}
       221:{1,4,5,7}:{(211,1),(212,1),(213,1),(215,1),(226,1),(227,1)}
       222:{1,5,6,7}:{(213,1),(214,1),(216,1),(227,1)}
       223:{4,6,7}:{(215,1),(216,1)}
       224:{2,5,6}:{(217,1),(219,1),(228,1)}
       225:{2,4,7}:{(217,1),(218,1),(220,1),(228,1)}
       226:{3,5,7}:{(219,1),(220,1),(221,1),(228,1),(229,1)}
       227:{1,4,6,7}:{(221,1),(222,1),(223,1),(229,1)}
       228:{2,5,7}:{(224,1),(225,1),(226,1),(230,1)}
       229:{3,6,7}:{(226,1),(227,1),(230,1)}
       230:{2,6,7}:{(228,1),(229,1)}

1667 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(17,1),(18,1),(38,1),(47,1),(74,1),(75,1),(78,1),(102,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(58,1),(59,1),(87,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(21,1),(26,1),(27,1),(28,1),(58,1),(59,1)}
         3:{3,5,6}:{(0,1),(6,1),(7,1),(65,1),(89,1),(101,1)}
         4:{3,5,6,7}:{(1,1),(10,1),(11,1),(39,1),(95,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(10,1),(11,1),(40,1),(41,1),(42,1),(78,1)}
         6:{3,5,7}:{(2,1),(3,1),(11,1),(12,1)}
         7:{3,4,6}:{(3,1),(12,1),(15,1),(16,1),(17,1),(48,1),(80,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(16,1),(18,1),(33,1),(48,1),(66,1),(73,1),(74,1),(93,1),(95,1),(103,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(36,1),(48,1),(69,1),(70,1),(75,1),(91,1),(95,1),(102,1)}
        10:{4,6,7}:{(4,1),(21,1),(100,1)}
        11:{3,6,7}:{(5,1),(6,1),(89,1)}
        12:{3,4,7}:{(6,1),(7,1),(26,1),(27,1),(64,1)}
        13:{1,3,5,7}:{(6,1),(8,1),(23,1),(26,1),(28,1),(58,1),(64,1),(88,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(24,1),(27,1),(28,1),(59,1),(64,1),(88,1)}
        15:{3,4,5}:{(7,1),(29,1),(30,1),(65,1),(101,1)}
        16:{1,4,6}:{(7,1),(8,1),(26,1),(29,1),(86,1),(100,1)}
        17:{2,4,6}:{(7,1),(9,1),(27,1),(30,1),(83,1),(100,1)}
        18:{1,2,5,6}:{(8,1),(9,1),(28,1),(31,1),(51,1),(55,1),(81,1),(84,1)}
        19:{1,3,4,6}:{(16,1),(32,1),(33,1),(34,1),(48,1),(66,1),(80,1),(97,1)}
        20:{2,3,4,6}:{(17,1),(35,1),(36,1),(37,1),(48,1),(70,1),(80,1),(97,1)}
        21:{4,5,7}:{(10,1),(38,1),(39,1),(96,1),(104,1)}
        22:{3,4,6,7}:{(10,1),(11,1),(12,1),(39,1),(40,1),(41,1),(43,1),(77,1),(96,1),(97,1)}
        23:{1,3,6,7}:{(11,1),(13,1),(40,1),(42,1),(66,1),(77,1),(93,1)}
        24:{2,3,6,7}:{(11,1),(14,1),(41,1),(42,1),(70,1),(77,1),(91,1)}
        25:{3,4,5,7}:{(12,1),(15,1),(39,1),(43,1),(44,1),(45,1),(79,1),(96,1),(104,1)}
        26:{1,4,7}:{(12,1),(13,1),(16,1),(96,1)}
        27:{2,4,7}:{(12,1),(14,1),(17,1),(96,1)}
        28:{1,2,5,7}:{(13,1),(14,1),(18,1),(42,1),(46,1)}
        29:{1,4,5}:{(15,1),(16,1),(33,1),(103,1),(104,1)}
        30:{2,4,5}:{(15,1),(17,1),(36,1),(102,1),(104,1)}
        31:{1,2,4,6}:{(16,1),(17,1),(18,1),(46,1),(47,1),(48,1)}
        32:{1,3,4,7}:{(19,1),(26,1),(49,1),(50,1),(64,1),(90,1)}
        33:{1,3,5}:{(19,1),(29,1),(51,1),(65,1),(101,1)}
        34:{1,2,4,6}:{(19,1),(50,1),(51,1),(52,1),(81,1),(83,1),(98,1)}
        35:{2,3,4,7}:{(20,1),(27,1),(53,1),(54,1),(64,1),(90,1)}
        36:{2,3,5}:{(20,1),(30,1),(55,1),(65,1),(101,1)}
        37:{1,2,4,6}:{(20,1),(54,1),(55,1),(56,1),(84,1),(86,1),(99,1)}
        38:{4,5,6}:{(21,1),(57,1),(100,1)}
        39:{3,5,7}:{(21,1),(22,1),(57,1),(58,1),(59,1),(101,1)}
        40:{1,4,6,7}:{(22,1),(23,1),(26,1),(58,1),(61,1),(99,1)}
        41:{2,4,6,7}:{(22,1),(24,1),(27,1),(59,1),(62,1),(98,1)}
        42:{1,2,6,7}:{(23,1),(24,1),(28,1),(81,1),(84,1)}
        43:{3,4,6}:{(25,1),(57,1),(61,1),(62,1),(89,1),(100,1)}
        44:{1,4,5,7}:{(25,1),(26,1),(29,1),(49,1),(58,1),(61,1)}
        45:{2,4,5,7}:{(25,1),(27,1),(30,1),(53,1),(59,1),(62,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(28,1),(31,1),(64,1)}
        47:{1,2,4,5}:{(29,1),(30,1),(31,1),(51,1),(55,1),(65,1),(83,1),(86,1)}
        48:{3,6}:{(31,1),(64,1),(65,1)}
        49:{1,3,5,7}:{(32,1),(33,1),(44,1),(66,1),(67,1),(79,1)}
        50:{1,2,4,7}:{(32,1),(34,1),(67,1),(68,1),(92,1)}
        51:{1,2,5}:{(33,1),(34,1),(69,1),(102,1)}
        52:{2,3,6}:{(34,1),(48,1),(68,1),(69,1)}
        53:{2,3,5,7}:{(35,1),(36,1),(45,1),(70,1),(71,1),(79,1)}
        54:{1,2,4,7}:{(35,1),(37,1),(71,1),(72,1),(94,1)}
        55:{1,2,5}:{(36,1),(37,1),(73,1),(103,1)}
        56:{1,3,6}:{(37,1),(48,1),(72,1),(73,1)}
        57:{3,5,6}:{(38,1),(39,1),(43,1),(74,1),(75,1)}
        58:{1,5,7}:{(39,1),(40,1),(74,1),(103,1)}
        59:{2,5,7}:{(39,1),(41,1),(75,1),(102,1)}
        60:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(46,1),(76,1),(77,1),(78,1),(96,1)}
        61:{1,4,6}:{(43,1),(44,1),(66,1),(74,1)}
        62:{2,4,6}:{(43,1),(45,1),(70,1),(75,1)}
        63:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(47,1),(67,1),(71,1),(76,1),(78,1),(79,1),(92,1),(94,1),(96,1),(102,1),(103,1),(104,1)}
        64:{3,7}:{(46,1),(48,1)}
        65:{3,5}:{(47,1),(48,1),(80,1)}
        66:{1,3,6}:{(49,1),(61,1),(81,1),(89,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(51,1),(81,1),(82,1)}
        68:{2,3,7}:{(50,1),(52,1),(64,1)}
        69:{2,3,5}:{(51,1),(52,1),(65,1),(83,1)}
        70:{2,3,6}:{(53,1),(62,1),(84,1),(89,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(55,1),(84,1),(85,1)}
        72:{1,3,7}:{(54,1),(56,1),(64,1)}
        73:{1,3,5}:{(55,1),(56,1),(65,1),(86,1)}
        74:{1,5,6}:{(57,1),(58,1),(61,1)}
        75:{2,5,6}:{(57,1),(59,1),(62,1)}
        76:{1,2,5,7}:{(58,1),(59,1),(60,1),(87,1),(88,1)}
        77:{3,6,7}:{(60,1),(64,1),(88,1),(89,1)}
        78:{1,2,4,6}:{(61,1),(62,1),(63,1),(81,1),(84,1),(87,1),(89,1),(98,1),(99,1),(100,1)}
        79:{3,5,7}:{(63,1),(64,1),(65,1),(89,1),(90,1),(101,1)}
        80:{3,4}:{(65,1),(83,1),(86,1)}
        81:{1,2,6}:{(66,1),(67,1),(91,1)}
        82:{2,3,5,7}:{(67,1),(68,1),(69,1),(79,1),(91,1),(92,1),(102,1)}
        83:{2,4}:{(69,1),(80,1)}
        84:{1,2,6}:{(70,1),(71,1),(93,1)}
        85:{1,3,5,7}:{(71,1),(72,1),(73,1),(79,1),(93,1),(94,1),(103,1)}
        86:{1,4}:{(73,1),(80,1)}
        87:{1,2,5,6}:{(74,1),(75,1),(76,1),(78,1),(95,1),(102,1),(103,1)}
        88:{3,5,7}:{(76,1),(77,1),(95,1),(96,1)}
        89:{3,6}:{(78,1),(79,1)}
        90:{3,4,7}:{(79,1),(80,1),(92,1),(94,1),(96,1),(97,1)}
        91:{2,3,6}:{(81,1),(82,1),(89,1),(98,1)}
        92:{2,4,7}:{(82,1),(83,1),(90,1),(98,1)}
        93:{1,3,6}:{(84,1),(85,1),(89,1),(99,1)}
        94:{1,4,7}:{(85,1),(86,1),(90,1),(99,1)}
        95:{3,5,6}:{(87,1),(88,1),(89,1),(100,1),(101,1)}
        96:{4,7}:{(88,1),(100,1)}
        97:{3,4,6}:{(89,1),(90,1),(98,1),(99,1),(100,1),(101,1)}
        98:{2,4,6}:{(91,1),(92,1),(97,1),(102,1)}
        99:{1,4,6}:{(93,1),(94,1),(97,1),(103,1)}
       100:{4,6}:{(95,1),(96,1),(104,1)}
       101:{3,5}:{(97,1),(102,1),(103,1),(104,1)}
       102:{2,5}:{(98,1),(101,1)}
       103:{1,5}:{(99,1),(101,1)}
       104:{4,5}:{(100,1),(101,1)}

1668 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(19,1),(20,1),(21,1),(44,1),(76,1),(95,1),(96,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(114,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(16,1),(20,1),(124,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(14,1),(76,1),(100,1),(122,1)}
         4:{1,2,4,5,6}:{(2,1),(10,1),(26,1),(27,1),(31,1)}
         5:{3,5,7}:{(2,1),(3,1),(10,1),(132,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(59,1),(60,1),(88,1),(89,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(59,1),(60,1),(90,1),(91,1),(114,1)}
         8:{3,4,5,7}:{(5,1),(14,1),(15,1),(16,1),(43,1),(100,1),(101,1)}
         9:{1,2,4,5,6,7}:{(4,1),(17,1),(40,1),(41,1),(44,1),(67,1),(109,1)}
        10:{3,5,6}:{(4,1),(5,1),(14,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(15,1),(18,1),(20,1),(43,1),(105,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(16,1),(19,1),(20,1),(43,1),(107,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(42,1),(46,1),(103,1)}
        14:{3,4,6}:{(8,1),(10,1),(26,1),(27,1),(59,1)}
        15:{1,4,5,7}:{(8,1),(11,1),(26,1),(112,1),(113,1)}
        16:{2,4,5,7}:{(8,1),(12,1),(27,1),(114,1),(115,1)}
        17:{3,5,6,7}:{(9,1),(10,1),(25,1),(84,1),(121,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(26,1),(31,1),(59,1)}
        19:{2,3,5,6}:{(10,1),(12,1),(27,1),(31,1),(59,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(31,1),(118,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(59,1),(86,1),(88,1),(90,1)}
        22:{3,4,5,6}:{(14,1),(33,1),(34,1),(35,1),(68,1),(101,1),(127,1)}
        23:{2,3,4,5,7}:{(16,1),(36,1),(37,1),(43,1),(63,1),(75,1),(100,1),(101,1),(107,1),(126,1),(137,1)}
        24:{1,3,4,5,7}:{(15,1),(38,1),(39,1),(43,1),(65,1),(72,1),(100,1),(101,1),(105,1),(125,1),(137,1)}
        25:{3,4,6,7}:{(14,1),(17,1),(33,1),(40,1),(41,1),(76,1),(100,1),(127,1)}
        26:{1,4,6}:{(14,1),(15,1),(18,1)}
        27:{2,4,6}:{(14,1),(16,1),(19,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(20,1),(42,1),(43,1),(46,1),(79,1)}
        29:{1,3,5,6,7}:{(17,1),(18,1),(40,1),(44,1),(65,1),(76,1),(96,1),(129,1)}
        30:{2,3,5,6,7}:{(17,1),(19,1),(41,1),(44,1),(63,1),(76,1),(98,1),(130,1)}
        31:{1,2,5,6}:{(18,1),(19,1),(20,1),(42,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(46,1),(96,1),(98,1)}
        33:{3,4,5,7}:{(22,1),(25,1),(49,1),(50,1),(84,1)}
        34:{1,4,5,6}:{(22,1),(26,1),(48,1),(49,1),(113,1),(134,1)}
        35:{2,4,5,6}:{(22,1),(27,1),(47,1),(50,1),(115,1),(135,1)}
        36:{2,3,4,6}:{(23,1),(27,1),(47,1),(53,1),(59,1),(85,1),(135,1),(139,1)}
        37:{1,2,4,5,7}:{(23,1),(53,1),(54,1),(80,1),(87,1),(112,1),(113,1),(118,1)}
        38:{1,3,4,6}:{(24,1),(26,1),(48,1),(56,1),(59,1),(85,1),(134,1),(139,1)}
        39:{1,2,4,5,7}:{(24,1),(56,1),(57,1),(82,1),(87,1),(114,1),(115,1),(118,1)}
        40:{1,4,6,7}:{(25,1),(26,1),(29,1),(49,1),(112,1),(134,1)}
        41:{2,4,6,7}:{(25,1),(27,1),(30,1),(50,1),(114,1),(135,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(59,1)}
        43:{3,5,7}:{(28,1),(59,1),(60,1),(93,1)}
        44:{1,2,5,6,7}:{(29,1),(30,1),(31,1),(58,1),(80,1),(82,1),(136,1)}
        45:{1,2,3,5,6}:{(31,1),(32,1),(59,1),(62,1),(81,1),(83,1),(86,1),(93,1),(118,1)}
        46:{1,2,4,7}:{(32,1),(60,1),(62,1),(112,1),(114,1)}
        47:{2,3,5,6}:{(35,1),(36,1),(63,1),(64,1),(68,1),(107,1)}
        48:{1,3,5,6}:{(34,1),(38,1),(65,1),(66,1),(68,1),(105,1)}
        49:{1,4,5,7}:{(33,1),(34,1),(40,1),(65,1)}
        50:{2,4,5,7}:{(33,1),(35,1),(41,1),(63,1)}
        51:{1,2,4,5,6}:{(34,1),(35,1),(42,1),(64,1),(66,1),(67,1),(68,1),(79,1),(97,1),(99,1),(124,1),(138,1)}
        52:{2,3,4,6,7}:{(36,1),(41,1),(63,1),(70,1),(76,1),(100,1)}
        53:{1,2,4,6}:{(36,1),(37,1),(64,1),(71,1),(97,1)}
        54:{1,3,5,7}:{(37,1),(43,1),(71,1),(72,1),(105,1),(137,1)}
        55:{1,3,4,6,7}:{(38,1),(40,1),(65,1),(73,1),(76,1),(100,1)}
        56:{1,2,4,6}:{(38,1),(39,1),(66,1),(74,1),(99,1)}
        57:{2,3,5,7}:{(39,1),(43,1),(74,1),(75,1),(107,1),(137,1)}
        58:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(44,1),(67,1),(76,1),(138,1)}
        59:{3,6}:{(42,1),(43,1)}
        60:{3,4,7}:{(43,1),(46,1),(77,1)}
        61:{1,2,3,5,6,7}:{(44,1),(45,1),(76,1),(78,1),(96,1),(98,1),(102,1),(108,1),(128,1),(129,1),(130,1)}
        62:{1,2,4,6}:{(45,1),(46,1),(77,1),(79,1),(97,1),(99,1)}
        63:{2,3,5,7}:{(47,1),(50,1),(52,1),(80,1),(84,1)}
        64:{1,2,5,6}:{(47,1),(53,1),(80,1),(81,1),(118,1)}
        65:{1,3,5,7}:{(48,1),(49,1),(55,1),(82,1),(84,1)}
        66:{1,2,5,6}:{(48,1),(56,1),(82,1),(83,1),(118,1)}
        67:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(58,1),(80,1),(82,1),(84,1),(112,1),(114,1)}
        68:{3,5,6}:{(51,1),(59,1),(84,1),(85,1),(93,1),(132,1),(139,1)}
        69:{1,2,3,5,7}:{(54,1),(57,1),(86,1),(87,1),(118,1)}
        70:{1,2,4,6,7}:{(52,1),(53,1),(80,1),(88,1),(112,1)}
        71:{1,3,6}:{(53,1),(54,1),(59,1),(139,1)}
        72:{1,3,4,7}:{(54,1),(60,1),(87,1),(89,1),(112,1),(131,1)}
        73:{1,2,4,6,7}:{(55,1),(56,1),(82,1),(90,1),(114,1)}
        74:{2,3,6}:{(56,1),(57,1),(59,1),(139,1)}
        75:{2,3,4,7}:{(57,1),(60,1),(87,1),(91,1),(114,1),(131,1)}
        76:{3,6,7}:{(58,1),(59,1),(84,1),(139,1)}
        77:{3,4,6}:{(59,1),(60,1),(62,1),(93,1)}
        78:{1,2,4,6,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(114,1),(134,1),(135,1)}
        79:{1,2,4,5}:{(62,1),(93,1),(113,1),(115,1),(118,1)}
        80:{1,2,5,7}:{(63,1),(64,1),(70,1),(96,1)}
        81:{1,3,5,6}:{(64,1),(68,1),(71,1),(96,1),(97,1),(105,1)}
        82:{1,2,5,7}:{(65,1),(66,1),(73,1),(98,1)}
        83:{2,3,5,6}:{(66,1),(68,1),(74,1),(98,1),(99,1),(107,1)}
        84:{3,5,7}:{(67,1),(68,1),(76,1),(100,1)}
        85:{3,4,6}:{(68,1),(97,1),(99,1),(100,1),(101,1)}
        86:{1,2,3,6}:{(69,1),(71,1),(74,1),(103,1)}
        87:{1,2,4,7}:{(69,1),(72,1),(75,1),(103,1)}
        88:{1,3,6,7}:{(70,1),(71,1),(76,1),(96,1)}
        89:{1,3,4,6}:{(71,1),(72,1),(77,1),(97,1),(103,1),(105,1),(122,1)}
        90:{2,3,6,7}:{(73,1),(74,1),(76,1),(98,1)}
        91:{2,3,4,6}:{(74,1),(75,1),(77,1),(99,1),(103,1),(107,1),(122,1)}
        92:{3,4,6,7}:{(76,1),(77,1),(78,1),(100,1),(108,1),(127,1)}
        93:{3,5}:{(77,1),(79,1)}
        94:{1,2,4,5,7}:{(78,1),(79,1),(108,1),(109,1),(125,1),(126,1),(128,1)}
        95:{1,2,3,5,6}:{(81,1),(83,1),(86,1),(110,1),(111,1),(118,1),(132,1),(136,1),(139,1)}
        96:{1,3,5,7}:{(80,1),(81,1),(84,1),(88,1),(112,1)}
        97:{1,4,6}:{(81,1),(85,1),(112,1),(113,1)}
        98:{2,3,5,7}:{(82,1),(83,1),(84,1),(90,1),(114,1)}
        99:{2,4,6}:{(83,1),(85,1),(114,1),(115,1)}
       100:{3,4,7}:{(84,1),(85,1),(112,1),(114,1)}
       101:{3,4,5}:{(85,1),(93,1),(113,1),(115,1),(132,1)}
       102:{1,2,3,6,7}:{(86,1),(88,1),(90,1),(110,1),(117,1),(139,1)}
       103:{1,2,4,6}:{(86,1),(87,1),(89,1),(91,1),(118,1)}
       104:{1,3,4,6,7}:{(88,1),(89,1),(92,1),(112,1),(117,1),(119,1),(131,1),(134,1),(139,1)}
       105:{1,3,5}:{(89,1),(93,1),(113,1),(118,1),(132,1)}
       106:{2,3,4,6,7}:{(90,1),(91,1),(92,1),(114,1),(117,1),(120,1),(131,1),(135,1),(139,1)}
       107:{2,3,5}:{(91,1),(93,1),(115,1),(118,1),(132,1)}
       108:{3,5,7}:{(92,1),(93,1),(94,1),(121,1)}
       109:{1,2,4,5,6}:{(94,1),(121,1),(134,1),(135,1),(136,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(102,1),(123,1),(128,1),(137,1)}
       111:{1,2,4,6}:{(95,1),(97,1),(99,1),(122,1),(123,1),(124,1)}
       112:{1,4,7}:{(96,1),(97,1),(100,1)}
       113:{1,4,5}:{(97,1),(101,1),(105,1)}
       114:{2,4,7}:{(98,1),(99,1),(100,1)}
       115:{2,4,5}:{(99,1),(101,1),(107,1)}
       116:{3,4,5,7}:{(100,1),(101,1),(108,1),(125,1),(126,1),(127,1),(137,1)}
       117:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(106,1),(123,1),(128,1),(138,1)}
       118:{1,2,5}:{(103,1),(105,1),(107,1)}
       119:{1,3,5,7}:{(104,1),(105,1),(108,1),(125,1),(128,1),(129,1),(137,1)}
       120:{2,3,5,7}:{(106,1),(107,1),(108,1),(126,1),(128,1),(130,1),(137,1)}
       121:{3,5,6}:{(108,1),(109,1),(127,1)}
       122:{3,4,6}:{(111,1),(131,1),(132,1),(139,1)}
       123:{1,2,4,7}:{(110,1),(111,1),(112,1),(114,1),(131,1)}
       124:{1,2,4,5}:{(111,1),(113,1),(115,1),(118,1),(132,1)}
       125:{1,4,5,7}:{(112,1),(113,1),(116,1),(119,1),(134,1)}
       126:{2,4,5,7}:{(114,1),(115,1),(116,1),(120,1),(135,1)}
       127:{3,4,6}:{(116,1),(121,1),(134,1),(135,1),(139,1)}
       128:{1,2,5,7}:{(117,1),(118,1),(119,1),(120,1),(136,1)}
       129:{1,3,5,6}:{(119,1),(121,1),(134,1),(136,1),(139,1)}
       130:{2,3,5,6}:{(120,1),(121,1),(135,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(137,1)}
       132:{3,5}:{(122,1),(124,1)}
       133:{1,2,4,5,7}:{(123,1),(124,1),(125,1),(126,1),(128,1),(137,1),(138,1)}
       134:{1,4,6}:{(125,1),(127,1),(129,1)}
       135:{2,4,6}:{(126,1),(127,1),(130,1)}
       136:{1,2,5,6}:{(128,1),(129,1),(130,1),(138,1)}
       137:{3,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       138:{1,2,4,6}:{(133,1),(134,1),(135,1),(136,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1669 :   0:{3,4,5,6}:{(1,1),(2,1),(3,1),(25,1),(186,1),(193,1),(218,1)}
         1:{3,4,5,7}:{(0,1),(9,1),(10,1),(11,1),(44,1),(167,1)}
         2:{1,4,5,6}:{(0,1),(7,1),(10,1),(201,1),(224,1)}
         3:{2,4,5,6}:{(0,1),(6,1),(11,1),(196,1),(222,1)}
         4:{2,3,4,5}:{(13,1),(14,1),(71,1),(108,1),(173,1)}
         5:{1,3,4,5}:{(15,1),(16,1),(71,1),(117,1),(180,1)}
         6:{2,3,5,6}:{(3,1),(13,1),(17,1),(18,1),(25,1),(173,1),(212,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(19,1),(20,1),(25,1),(180,1),(215,1)}
         8:{4,5,6,7}:{(21,1),(135,1),(230,1)}
         9:{3,4,6,7}:{(1,1),(21,1),(22,1),(23,1),(69,1),(135,1),(218,1)}
        10:{1,4,5,7}:{(1,1),(2,1),(19,1),(22,1)}
        11:{2,4,5,7}:{(1,1),(3,1),(17,1),(23,1)}
        12:{1,2,4,5,6}:{(2,1),(3,1),(18,1),(20,1),(24,1),(25,1),(64,1),(67,1),(130,1),(190,1),(191,1),(192,1),(193,1)}
        13:{2,3,4,6}:{(4,1),(6,1),(27,1),(28,1),(45,1)}
        14:{1,2,4,5}:{(4,1),(28,1),(29,1),(77,1),(97,1),(144,1)}
        15:{1,3,4,6}:{(5,1),(7,1),(31,1),(32,1),(45,1)}
        16:{1,2,4,5}:{(5,1),(32,1),(33,1),(85,1),(100,1),(152,1)}
        17:{2,3,5,7}:{(6,1),(11,1),(27,1),(35,1),(36,1),(44,1)}
        18:{1,2,5,6}:{(6,1),(28,1),(36,1),(37,1),(144,1),(198,1)}
        19:{1,3,5,7}:{(7,1),(10,1),(31,1),(38,1),(39,1),(44,1)}
        20:{1,2,5,6}:{(7,1),(32,1),(39,1),(40,1),(152,1),(203,1)}
        21:{3,5,6,7}:{(8,1),(9,1),(41,1),(42,1),(226,1)}
        22:{1,4,6,7}:{(9,1),(10,1),(38,1),(41,1),(224,1)}
        23:{2,4,6,7}:{(9,1),(11,1),(35,1),(42,1),(222,1)}
        24:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(36,1),(39,1),(43,1),(44,1),(96,1),(99,1),(163,1),(165,1),(167,1)}
        25:{3,5,6}:{(12,1),(44,1),(45,1),(160,1),(208,1)}
        26:{1,3,4,5}:{(46,1),(47,1),(51,1),(112,1),(186,1)}
        27:{2,3,4,7}:{(13,1),(17,1),(49,1),(70,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(18,1),(49,1),(50,1),(64,1)}
        29:{1,3,5}:{(14,1),(50,1),(51,1)}
        30:{2,3,4,5}:{(52,1),(53,1),(57,1),(121,1),(186,1)}
        31:{1,3,4,7}:{(15,1),(19,1),(55,1),(70,1)}
        32:{1,2,4,6}:{(15,1),(16,1),(20,1),(55,1),(56,1),(67,1)}
        33:{2,3,5}:{(16,1),(56,1),(57,1)}
        34:{3,4,5,6}:{(58,1),(59,1),(60,1),(71,1),(126,1),(137,1),(230,1)}
        35:{2,3,6,7}:{(17,1),(23,1),(62,1),(69,1),(212,1)}
        36:{1,2,5,7}:{(17,1),(18,1),(49,1),(62,1),(63,1)}
        37:{1,3,5,6}:{(18,1),(25,1),(50,1),(63,1),(64,1),(112,1),(175,1),(191,1)}
        38:{1,3,6,7}:{(19,1),(22,1),(65,1),(69,1),(215,1)}
        39:{1,2,5,7}:{(19,1),(20,1),(55,1),(65,1),(66,1)}
        40:{2,3,5,6}:{(20,1),(25,1),(56,1),(66,1),(67,1),(121,1),(182,1),(192,1)}
        41:{1,5,6,7}:{(21,1),(22,1),(229,1)}
        42:{2,5,6,7}:{(21,1),(23,1),(228,1)}
        43:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(62,1),(65,1),(68,1),(69,1),(131,1),(133,1),(135,1),(190,1)}
        44:{3,5,7}:{(24,1),(25,1),(69,1),(70,1)}
        45:{3,4,6}:{(25,1),(64,1),(67,1),(70,1),(71,1)}
        46:{1,3,4,6}:{(26,1),(72,1),(73,1),(74,1),(158,1)}
        47:{1,2,4,5}:{(26,1),(74,1),(75,1),(77,1),(144,1),(196,1)}
        48:{1,2,3,5}:{(29,1),(75,1),(76,1),(77,1),(144,1)}
        49:{1,2,4,7}:{(27,1),(28,1),(36,1),(78,1),(96,1)}
        50:{1,3,6}:{(28,1),(29,1),(78,1)}
        51:{1,3,4}:{(29,1),(77,1)}
        52:{2,3,4,6}:{(30,1),(80,1),(81,1),(82,1),(158,1)}
        53:{1,2,4,5}:{(30,1),(82,1),(83,1),(85,1),(152,1),(201,1)}
        54:{1,2,3,5}:{(33,1),(83,1),(84,1),(85,1),(152,1)}
        55:{1,2,4,7}:{(31,1),(32,1),(39,1),(86,1),(99,1)}
        56:{2,3,6}:{(32,1),(33,1),(86,1)}
        57:{2,3,4}:{(33,1),(85,1)}
        58:{3,4,5,7}:{(34,1),(89,1),(90,1),(91,1),(157,1),(225,1)}
        59:{1,4,5,6}:{(34,1),(72,1),(90,1),(97,1),(164,1)}
        60:{2,4,5,6}:{(34,1),(80,1),(91,1),(100,1),(166,1)}
        61:{1,2,3,5,6}:{(37,1),(40,1),(76,1),(84,1),(93,1),(94,1),(140,1),(144,1),(148,1),(152,1),(160,1),(198,1),(203,1),(208,1),(209,1)}
        62:{1,2,6,7}:{(35,1),(36,1),(95,1),(198,1)}
        63:{1,3,5,7}:{(36,1),(37,1),(44,1),(78,1),(95,1),(96,1),(163,1)}
        64:{1,4,6}:{(37,1),(45,1),(96,1),(97,1)}
        65:{1,2,6,7}:{(38,1),(39,1),(98,1),(203,1)}
        66:{2,3,5,7}:{(39,1),(40,1),(44,1),(86,1),(98,1),(99,1),(165,1)}
        67:{2,4,6}:{(40,1),(45,1),(99,1),(100,1)}
        68:{1,2,5,6,7}:{(41,1),(42,1),(43,1),(101,1),(163,1),(165,1),(209,1)}
        69:{3,6,7}:{(43,1),(44,1),(208,1)}
        70:{3,4,7}:{(44,1),(45,1),(96,1),(99,1)}
        71:{3,4,5}:{(45,1),(97,1),(100,1),(160,1)}
        72:{1,3,5,6}:{(46,1),(59,1),(104,1),(105,1),(112,1),(126,1),(175,1)}
        73:{1,3,4,7}:{(46,1),(104,1),(106,1),(185,1)}
        74:{1,2,4,6}:{(46,1),(47,1),(105,1),(106,1),(107,1),(171,1)}
        75:{2,3,5}:{(47,1),(107,1),(108,1)}
        76:{1,2,3,6}:{(48,1),(50,1),(107,1),(109,1),(110,1)}
        77:{1,2,4}:{(48,1),(51,1),(108,1)}
        78:{1,3,7}:{(49,1),(50,1)}
        79:{1,3,4,6}:{(50,1),(51,1),(64,1),(110,1),(111,1),(112,1),(127,1),(175,1)}
        80:{2,3,5,6}:{(52,1),(60,1),(113,1),(114,1),(121,1),(126,1),(182,1)}
        81:{2,3,4,7}:{(52,1),(113,1),(115,1),(185,1)}
        82:{1,2,4,6}:{(52,1),(53,1),(114,1),(115,1),(116,1),(178,1)}
        83:{1,3,5}:{(53,1),(116,1),(117,1)}
        84:{1,2,3,6}:{(54,1),(56,1),(116,1),(118,1),(119,1)}
        85:{1,2,4}:{(54,1),(57,1),(117,1)}
        86:{2,3,7}:{(55,1),(56,1)}
        87:{2,3,4,6}:{(56,1),(57,1),(67,1),(119,1),(120,1),(121,1),(127,1),(182,1)}
        88:{4,5,6,7}:{(122,1),(193,1),(216,1)}
        89:{3,4,6,7}:{(58,1),(122,1),(123,1),(124,1),(137,1),(184,1),(216,1)}
        90:{1,4,5,7}:{(58,1),(59,1),(104,1),(123,1)}
        91:{2,4,5,7}:{(58,1),(60,1),(113,1),(124,1)}
        92:{1,2,4,5,6}:{(59,1),(60,1),(105,1),(114,1),(125,1),(126,1),(130,1),(171,1),(178,1),(190,1),(228,1),(229,1),(230,1)}
        93:{1,2,3,5,7}:{(61,1),(63,1),(66,1),(109,1),(118,1),(128,1),(129,1),(170,1),(174,1),(177,1),(181,1),(188,1),(189,1)}
        94:{1,2,4,6}:{(61,1),(64,1),(67,1),(127,1),(129,1),(130,1),(171,1),(178,1)}
        95:{1,3,6,7}:{(62,1),(63,1),(69,1),(131,1),(175,1)}
        96:{1,4,7}:{(63,1),(64,1),(70,1)}
        97:{1,4,5}:{(64,1),(71,1),(112,1)}
        98:{2,3,6,7}:{(65,1),(66,1),(69,1),(133,1),(182,1)}
        99:{2,4,7}:{(66,1),(67,1),(70,1)}
       100:{2,4,5}:{(67,1),(71,1),(121,1)}
       101:{3,5,6,7}:{(68,1),(69,1),(135,1),(136,1),(220,1)}
       102:{3,4,6,7}:{(69,1),(70,1),(131,1),(133,1),(135,1),(136,1),(137,1)}
       103:{3,4,5,7}:{(70,1),(71,1),(132,1),(134,1),(136,1),(137,1),(188,1),(219,1)}
       104:{1,3,5,7}:{(72,1),(73,1),(90,1),(138,1),(139,1),(157,1)}
       105:{1,2,5,6}:{(72,1),(74,1),(139,1),(140,1),(144,1),(198,1)}
       106:{1,2,4,7}:{(73,1),(74,1),(139,1),(141,1),(195,1)}
       107:{2,3,6}:{(74,1),(75,1),(141,1)}
       108:{2,3,4}:{(75,1),(77,1)}
       109:{1,2,3,7}:{(76,1),(78,1),(141,1),(143,1)}
       110:{1,2,4,6}:{(76,1),(77,1),(79,1),(142,1),(143,1),(144,1),(198,1)}
       111:{1,3,4,7}:{(78,1),(79,1),(96,1),(143,1),(145,1),(159,1)}
       112:{1,3,5}:{(79,1),(97,1),(144,1),(160,1)}
       113:{2,3,5,7}:{(80,1),(81,1),(91,1),(146,1),(147,1),(157,1)}
       114:{1,2,5,6}:{(80,1),(82,1),(147,1),(148,1),(152,1),(203,1)}
       115:{1,2,4,7}:{(81,1),(82,1),(147,1),(149,1),(200,1)}
       116:{1,3,6}:{(82,1),(83,1),(149,1)}
       117:{1,3,4}:{(83,1),(85,1)}
       118:{1,2,3,7}:{(84,1),(86,1),(149,1),(151,1)}
       119:{1,2,4,6}:{(84,1),(85,1),(87,1),(150,1),(151,1),(152,1),(203,1)}
       120:{2,3,4,7}:{(86,1),(87,1),(99,1),(151,1),(153,1),(159,1)}
       121:{2,3,5}:{(87,1),(100,1),(152,1),(160,1)}
       122:{3,5,6,7}:{(88,1),(89,1),(154,1),(155,1),(168,1)}
       123:{1,4,6,7}:{(89,1),(90,1),(138,1),(154,1),(164,1)}
       124:{2,4,6,7}:{(89,1),(91,1),(146,1),(155,1),(166,1)}
       125:{1,2,4,5,7}:{(90,1),(91,1),(92,1),(139,1),(147,1),(156,1),(157,1),(195,1),(200,1),(221,1),(223,1),(225,1)}
       126:{3,5,6}:{(92,1),(157,1),(158,1),(160,1),(208,1)}
       127:{3,4,6}:{(94,1),(159,1),(160,1),(208,1)}
       128:{1,2,3,6,7}:{(93,1),(95,1),(98,1),(161,1),(194,1),(198,1),(199,1),(203,1),(208,1)}
       129:{1,2,4,7}:{(93,1),(94,1),(96,1),(99,1),(159,1),(195,1),(200,1)}
       130:{1,2,4,5}:{(94,1),(97,1),(100,1),(144,1),(152,1),(160,1),(196,1),(201,1)}
       131:{1,4,6,7}:{(95,1),(96,1),(102,1),(163,1),(164,1)}
       132:{1,4,5,7}:{(96,1),(97,1),(103,1),(145,1),(163,1),(164,1)}
       133:{2,4,6,7}:{(98,1),(99,1),(102,1),(165,1),(166,1)}
       134:{2,4,5,7}:{(99,1),(100,1),(103,1),(153,1),(165,1),(166,1)}
       135:{4,6,7}:{(101,1),(167,1),(227,1)}
       136:{3,5,7}:{(102,1),(163,1),(165,1),(167,1),(168,1)}
       137:{3,4,6}:{(103,1),(164,1),(166,1),(168,1),(208,1),(227,1)}
       138:{1,3,6,7}:{(104,1),(123,1),(169,1),(175,1),(184,1)}
       139:{1,2,5,7}:{(104,1),(105,1),(106,1),(169,1),(170,1)}
       140:{2,3,5,6}:{(105,1),(107,1),(126,1),(170,1),(171,1),(173,1),(212,1),(228,1)}
       141:{2,3,7}:{(106,1),(107,1)}
       142:{2,3,4,6}:{(107,1),(108,1),(110,1),(127,1),(171,1),(172,1),(173,1),(212,1)}
       143:{1,2,4,7}:{(109,1),(110,1),(111,1),(172,1),(174,1)}
       144:{1,2,5}:{(110,1),(112,1),(173,1)}
       145:{1,3,5,7}:{(111,1),(112,1),(132,1),(174,1),(175,1),(188,1)}
       146:{2,3,6,7}:{(113,1),(124,1),(176,1),(182,1),(184,1)}
       147:{1,2,5,7}:{(113,1),(114,1),(115,1),(176,1),(177,1)}
       148:{1,3,5,6}:{(114,1),(116,1),(126,1),(177,1),(178,1),(180,1),(215,1),(229,1)}
       149:{1,3,7}:{(115,1),(116,1)}
       150:{1,3,4,6}:{(116,1),(117,1),(119,1),(127,1),(178,1),(179,1),(180,1),(215,1)}
       151:{1,2,4,7}:{(118,1),(119,1),(120,1),(179,1),(181,1)}
       152:{1,2,5}:{(119,1),(121,1),(180,1)}
       153:{2,3,5,7}:{(120,1),(121,1),(134,1),(181,1),(182,1),(188,1)}
       154:{1,5,6,7}:{(122,1),(123,1),(191,1)}
       155:{2,5,6,7}:{(122,1),(124,1),(192,1)}
       156:{1,2,4,6,7}:{(123,1),(124,1),(125,1),(169,1),(176,1),(183,1),(184,1),(190,1),(210,1),(213,1),(216,1)}
       157:{3,5,7}:{(125,1),(126,1),(184,1),(185,1)}
       158:{3,4,6}:{(126,1),(171,1),(178,1),(185,1),(186,1)}
       159:{3,4,7}:{(127,1),(129,1),(188,1)}
       160:{3,5}:{(127,1),(130,1)}
       161:{1,2,4,6,7}:{(128,1),(129,1),(131,1),(133,1),(187,1),(189,1),(190,1),(210,1),(213,1)}
       162:{1,2,4,5,7}:{(129,1),(130,1),(132,1),(134,1),(174,1),(181,1),(188,1),(189,1),(190,1),(211,1),(214,1),(219,1)}
       163:{1,5,7}:{(131,1),(136,1),(191,1)}
       164:{1,4,6}:{(132,1),(137,1),(175,1),(191,1)}
       165:{2,5,7}:{(133,1),(136,1),(192,1)}
       166:{2,4,6}:{(134,1),(137,1),(182,1),(192,1)}
       167:{4,5,7}:{(135,1),(136,1),(193,1)}
       168:{3,5,6}:{(136,1),(137,1),(191,1),(192,1),(193,1)}
       169:{1,2,6,7}:{(138,1),(139,1),(194,1),(198,1)}
       170:{2,3,5,7}:{(139,1),(140,1),(141,1),(157,1),(194,1),(195,1),(221,1)}
       171:{2,4,6}:{(140,1),(158,1),(195,1),(196,1)}
       172:{2,3,4,7}:{(141,1),(142,1),(143,1),(159,1),(195,1),(197,1)}
       173:{2,3,5}:{(142,1),(144,1),(160,1),(196,1)}
       174:{1,2,5,7}:{(143,1),(144,1),(145,1),(197,1),(198,1)}
       175:{1,3,6}:{(145,1),(164,1),(198,1),(208,1)}
       176:{1,2,6,7}:{(146,1),(147,1),(199,1),(203,1)}
       177:{1,3,5,7}:{(147,1),(148,1),(149,1),(157,1),(199,1),(200,1),(223,1)}
       178:{1,4,6}:{(148,1),(158,1),(200,1),(201,1)}
       179:{1,3,4,7}:{(149,1),(150,1),(151,1),(159,1),(200,1),(202,1)}
       180:{1,3,5}:{(150,1),(152,1),(160,1),(201,1)}
       181:{1,2,5,7}:{(151,1),(152,1),(153,1),(202,1),(203,1)}
       182:{2,3,6}:{(153,1),(166,1),(203,1),(208,1)}
       183:{1,2,5,6,7}:{(154,1),(155,1),(156,1),(204,1),(209,1),(221,1),(223,1)}
       184:{3,6,7}:{(156,1),(157,1),(208,1)}
       185:{3,4,7}:{(157,1),(158,1),(195,1),(200,1)}
       186:{3,4,5}:{(158,1),(160,1),(196,1),(201,1)}
       187:{3,4,6,7}:{(159,1),(161,1),(207,1),(208,1),(227,1)}
       188:{3,5,7}:{(159,1),(160,1),(162,1),(208,1)}
       189:{1,2,5,7}:{(161,1),(163,1),(165,1),(207,1),(209,1),(221,1),(223,1)}
       190:{1,2,4,6}:{(162,1),(164,1),(166,1),(198,1),(203,1),(208,1),(209,1),(222,1),(224,1),(227,1)}
       191:{1,5,6}:{(163,1),(164,1),(168,1)}
       192:{2,5,6}:{(165,1),(166,1),(168,1)}
       193:{4,5,6}:{(167,1),(168,1),(227,1)}
       194:{2,3,6,7}:{(169,1),(170,1),(184,1),(210,1),(212,1)}
       195:{2,4,7}:{(170,1),(171,1),(185,1)}
       196:{2,4,5}:{(171,1),(173,1),(186,1)}
       197:{2,3,5,7}:{(172,1),(173,1),(174,1),(188,1),(211,1),(212,1)}
       198:{1,2,6}:{(174,1),(175,1),(212,1)}
       199:{1,3,6,7}:{(176,1),(177,1),(184,1),(213,1),(215,1)}
       200:{1,4,7}:{(177,1),(178,1),(185,1)}
       201:{1,4,5}:{(178,1),(180,1),(186,1)}
       202:{1,3,5,7}:{(179,1),(180,1),(181,1),(188,1),(214,1),(215,1)}
       203:{1,2,6}:{(181,1),(182,1),(215,1)}
       204:{3,5,6,7}:{(183,1),(184,1),(216,1),(217,1),(220,1)}
       205:{3,4,6,7}:{(184,1),(185,1),(210,1),(213,1),(216,1),(217,1),(218,1)}
       206:{3,4,5,7}:{(185,1),(186,1),(188,1),(211,1),(214,1),(217,1),(218,1),(219,1)}
       207:{3,5,7}:{(187,1),(189,1),(219,1),(220,1)}
       208:{3,6}:{(188,1),(190,1)}
       209:{1,2,5,6}:{(189,1),(190,1),(191,1),(192,1),(220,1),(228,1),(229,1)}
       210:{2,4,6,7}:{(194,1),(195,1),(205,1),(221,1),(222,1)}
       211:{2,4,5,7}:{(195,1),(196,1),(197,1),(206,1),(221,1),(222,1)}
       212:{2,3,6}:{(197,1),(198,1),(208,1),(222,1)}
       213:{1,4,6,7}:{(199,1),(200,1),(205,1),(223,1),(224,1)}
       214:{1,4,5,7}:{(200,1),(201,1),(202,1),(206,1),(223,1),(224,1)}
       215:{1,3,6}:{(202,1),(203,1),(208,1),(224,1)}
       216:{4,6,7}:{(204,1),(225,1),(227,1)}
       217:{3,5,7}:{(205,1),(221,1),(223,1),(225,1),(226,1)}
       218:{3,4,6}:{(206,1),(208,1),(222,1),(224,1),(226,1),(227,1)}
       219:{4,5,7}:{(207,1),(227,1)}
       220:{3,5,6}:{(207,1),(208,1),(209,1),(227,1)}
       221:{2,5,7}:{(210,1),(217,1),(228,1)}
       222:{2,4,6}:{(211,1),(212,1),(218,1),(228,1)}
       223:{1,5,7}:{(213,1),(217,1),(229,1)}
       224:{1,4,6}:{(214,1),(215,1),(218,1),(229,1)}
       225:{4,5,7}:{(216,1),(217,1),(230,1)}
       226:{3,5,6}:{(217,1),(218,1),(228,1),(229,1),(230,1)}
       227:{4,6}:{(219,1),(220,1)}
       228:{2,5,6}:{(221,1),(222,1),(226,1)}
       229:{1,5,6}:{(223,1),(224,1),(226,1)}
       230:{4,5,6}:{(225,1),(226,1),(227,1)}

1670 :   0:{4,5,6,7}:{(2,1),(56,1),(225,1)}
         1:{3,4,5,6}:{(3,1),(4,1),(5,1),(28,1),(104,1),(169,1),(208,1)}
         2:{3,5,6,7}:{(0,1),(8,1),(9,1),(10,1),(219,1)}
         3:{3,4,5,7}:{(1,1),(8,1),(11,1),(12,1),(41,1),(77,1)}
         4:{1,4,5,6}:{(1,1),(11,1),(13,1),(182,1),(214,1)}
         5:{2,4,5,6}:{(1,1),(12,1),(14,1),(175,1),(211,1)}
         6:{2,3,4,5}:{(16,1),(17,1),(63,1),(90,1),(147,1)}
         7:{1,3,4,5}:{(18,1),(19,1),(63,1),(97,1),(155,1)}
         8:{3,4,6,7}:{(2,1),(3,1),(20,1),(21,1),(55,1),(56,1),(208,1)}
         9:{1,5,6,7}:{(2,1),(20,1),(223,1)}
        10:{2,5,6,7}:{(2,1),(21,1),(221,1)}
        11:{1,4,5,7}:{(3,1),(4,1),(20,1),(23,1)}
        12:{2,4,5,7}:{(3,1),(5,1),(21,1),(24,1)}
        13:{1,3,5,6}:{(4,1),(18,1),(23,1),(26,1),(28,1),(155,1),(201,1)}
        14:{2,3,5,6}:{(5,1),(16,1),(24,1),(27,1),(28,1),(147,1),(196,1)}
        15:{1,2,4,5,6}:{(4,1),(5,1),(25,1),(26,1),(27,1),(28,1),(61,1),(62,1),(104,1),(110,1),(162,1),(163,1),(166,1)}
        16:{2,3,4,6}:{(6,1),(14,1),(29,1),(30,1),(44,1)}
        17:{1,2,4,5}:{(6,1),(30,1),(31,1),(67,1),(84,1),(117,1)}
        18:{1,3,4,6}:{(7,1),(13,1),(32,1),(33,1),(44,1)}
        19:{1,2,4,5}:{(7,1),(33,1),(34,1),(72,1),(83,1),(125,1)}
        20:{1,4,6,7}:{(8,1),(9,1),(11,1),(35,1),(214,1)}
        21:{2,4,6,7}:{(8,1),(10,1),(12,1),(36,1),(211,1)}
        22:{1,2,5,6,7}:{(9,1),(10,1),(37,1),(38,1),(131,1),(132,1),(187,1)}
        23:{1,3,5,7}:{(11,1),(13,1),(32,1),(35,1),(39,1),(41,1)}
        24:{2,3,5,7}:{(12,1),(14,1),(29,1),(36,1),(40,1),(41,1)}
        25:{1,2,4,5,7}:{(11,1),(12,1),(15,1),(37,1),(39,1),(40,1),(41,1),(77,1),(79,1),(80,1),(131,1),(132,1)}
        26:{1,2,5,6}:{(13,1),(33,1),(39,1),(42,1),(125,1),(180,1)}
        27:{1,2,5,6}:{(14,1),(30,1),(40,1),(43,1),(117,1),(173,1)}
        28:{3,5,6}:{(15,1),(41,1),(44,1),(140,1),(191,1)}
        29:{2,3,4,7}:{(16,1),(24,1),(45,1),(59,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(27,1),(45,1),(46,1),(62,1)}
        31:{1,3,5}:{(17,1),(46,1),(48,1)}
        32:{1,3,4,7}:{(18,1),(23,1),(49,1),(59,1)}
        33:{1,2,4,6}:{(18,1),(19,1),(26,1),(49,1),(50,1),(61,1)}
        34:{2,3,5}:{(19,1),(50,1),(52,1)}
        35:{1,3,6,7}:{(20,1),(23,1),(53,1),(55,1),(201,1)}
        36:{2,3,6,7}:{(21,1),(24,1),(54,1),(55,1),(196,1)}
        37:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(25,1),(53,1),(54,1),(55,1),(56,1),(101,1),(102,1),(166,1)}
        38:{3,5,6,7}:{(22,1),(55,1),(56,1),(103,1),(206,1)}
        39:{1,2,5,7}:{(23,1),(26,1),(49,1),(53,1),(57,1)}
        40:{1,2,5,7}:{(24,1),(27,1),(45,1),(54,1),(58,1)}
        41:{3,5,7}:{(25,1),(28,1),(55,1),(59,1)}
        42:{2,3,5,6}:{(26,1),(28,1),(50,1),(57,1),(61,1),(96,1),(154,1),(162,1)}
        43:{1,3,5,6}:{(27,1),(28,1),(46,1),(58,1),(62,1),(89,1),(146,1),(163,1)}
        44:{3,4,6}:{(28,1),(59,1),(61,1),(62,1),(63,1)}
        45:{1,2,4,7}:{(29,1),(30,1),(40,1),(64,1),(80,1)}
        46:{1,3,6}:{(30,1),(31,1),(64,1)}
        47:{1,2,3,5}:{(31,1),(65,1),(67,1),(117,1),(119,1)}
        48:{1,3,4}:{(31,1),(67,1)}
        49:{1,2,4,7}:{(32,1),(33,1),(39,1),(69,1),(79,1)}
        50:{2,3,6}:{(33,1),(34,1),(69,1)}
        51:{1,2,3,5}:{(34,1),(70,1),(72,1),(125,1),(127,1)}
        52:{2,3,4}:{(34,1),(72,1)}
        53:{1,2,6,7}:{(35,1),(39,1),(74,1),(180,1)}
        54:{1,2,6,7}:{(36,1),(40,1),(75,1),(173,1)}
        55:{3,6,7}:{(37,1),(41,1),(191,1)}
        56:{4,6,7}:{(38,1),(77,1),(217,1)}
        57:{2,3,5,7}:{(39,1),(41,1),(42,1),(69,1),(74,1),(79,1),(131,1)}
        58:{1,3,5,7}:{(40,1),(41,1),(43,1),(64,1),(75,1),(80,1),(132,1)}
        59:{3,4,7}:{(41,1),(44,1),(79,1),(80,1)}
        60:{1,2,3,5,6}:{(42,1),(43,1),(65,1),(70,1),(78,1),(82,1),(117,1),(125,1),(140,1),(173,1),(176,1),(180,1),(183,1),(187,1),(191,1)}
        61:{2,4,6}:{(42,1),(44,1),(79,1),(83,1)}
        62:{1,4,6}:{(43,1),(44,1),(80,1),(84,1)}
        63:{3,4,5}:{(44,1),(83,1),(84,1),(140,1)}
        64:{1,3,7}:{(45,1),(46,1)}
        65:{1,2,3,6}:{(46,1),(47,1),(86,1),(88,1),(150,1)}
        66:{1,3,4,6}:{(46,1),(48,1),(62,1),(87,1),(88,1),(89,1),(109,1),(146,1)}
        67:{1,2,4}:{(47,1),(48,1),(90,1)}
        68:{1,3,4,5}:{(48,1),(89,1),(91,1),(92,1),(169,1)}
        69:{2,3,7}:{(49,1),(50,1)}
        70:{1,2,3,6}:{(50,1),(51,1),(93,1),(95,1),(158,1)}
        71:{2,3,4,6}:{(50,1),(52,1),(61,1),(94,1),(95,1),(96,1),(109,1),(154,1)}
        72:{1,2,4}:{(51,1),(52,1),(97,1)}
        73:{2,3,4,5}:{(52,1),(96,1),(98,1),(99,1),(169,1)}
        74:{2,3,6,7}:{(53,1),(55,1),(57,1),(101,1),(154,1)}
        75:{1,3,6,7}:{(54,1),(55,1),(58,1),(102,1),(146,1)}
        76:{3,4,6,7}:{(55,1),(56,1),(59,1),(101,1),(102,1),(103,1),(108,1)}
        77:{4,5,7}:{(56,1),(103,1),(104,1)}
        78:{1,2,3,5,7}:{(57,1),(58,1),(60,1),(86,1),(93,1),(100,1),(105,1),(145,1),(153,1),(161,1),(165,1),(199,1),(204,1)}
        79:{2,4,7}:{(57,1),(59,1),(61,1)}
        80:{1,4,7}:{(58,1),(59,1),(62,1)}
        81:{3,4,5,7}:{(59,1),(63,1),(103,1),(106,1),(107,1),(108,1),(165,1),(205,1)}
        82:{1,2,4,6}:{(60,1),(61,1),(62,1),(105,1),(109,1),(110,1),(198,1),(203,1)}
        83:{2,4,5}:{(61,1),(63,1),(96,1)}
        84:{1,4,5}:{(62,1),(63,1),(89,1)}
        85:{3,4,5,6}:{(63,1),(108,1),(111,1),(112,1),(113,1),(170,1),(225,1)}
        86:{1,2,3,7}:{(64,1),(65,1),(114,1),(178,1)}
        87:{1,3,4,7}:{(64,1),(66,1),(80,1),(114,1),(115,1),(135,1)}
        88:{1,2,4,6}:{(65,1),(66,1),(67,1),(114,1),(116,1),(117,1),(173,1)}
        89:{1,3,5}:{(66,1),(84,1),(117,1),(140,1)}
        90:{2,3,4}:{(67,1),(119,1)}
        91:{1,2,4,5}:{(67,1),(68,1),(117,1),(119,1),(120,1),(175,1)}
        92:{1,3,4,6}:{(68,1),(118,1),(120,1),(121,1),(193,1)}
        93:{1,2,3,7}:{(69,1),(70,1),(122,1),(185,1)}
        94:{2,3,4,7}:{(69,1),(71,1),(79,1),(122,1),(123,1),(135,1)}
        95:{1,2,4,6}:{(70,1),(71,1),(72,1),(122,1),(124,1),(125,1),(180,1)}
        96:{2,3,5}:{(71,1),(83,1),(125,1),(140,1)}
        97:{1,3,4}:{(72,1),(127,1)}
        98:{1,2,4,5}:{(72,1),(73,1),(125,1),(127,1),(128,1),(182,1)}
        99:{2,3,4,6}:{(73,1),(126,1),(128,1),(129,1),(193,1)}
       100:{1,2,3,6,7}:{(74,1),(75,1),(78,1),(130,1),(173,1),(180,1),(191,1),(212,1),(215,1)}
       101:{2,4,6,7}:{(74,1),(76,1),(79,1),(131,1),(137,1)}
       102:{1,4,6,7}:{(75,1),(76,1),(80,1),(132,1),(138,1)}
       103:{3,5,7}:{(76,1),(77,1),(131,1),(132,1),(133,1)}
       104:{4,5,6}:{(77,1),(133,1),(217,1)}
       105:{1,2,4,7}:{(78,1),(79,1),(80,1),(82,1),(135,1),(213,1),(216,1)}
       106:{2,4,5,7}:{(79,1),(81,1),(83,1),(123,1),(131,1),(137,1)}
       107:{1,4,5,7}:{(80,1),(81,1),(84,1),(115,1),(132,1),(138,1)}
       108:{3,4,6}:{(81,1),(133,1),(137,1),(138,1),(191,1),(217,1)}
       109:{3,4,6}:{(82,1),(135,1),(140,1),(191,1)}
       110:{1,2,4,5}:{(82,1),(83,1),(84,1),(117,1),(125,1),(140,1),(175,1),(182,1)}
       111:{2,4,5,6}:{(83,1),(85,1),(126,1),(137,1),(142,1)}
       112:{1,4,5,6}:{(84,1),(85,1),(118,1),(138,1),(143,1)}
       113:{3,4,5,7}:{(85,1),(139,1),(142,1),(143,1),(194,1),(230,1)}
       114:{1,2,4,7}:{(86,1),(87,1),(88,1),(144,1),(145,1)}
       115:{1,3,5,7}:{(87,1),(89,1),(107,1),(145,1),(146,1),(165,1)}
       116:{2,3,4,6}:{(88,1),(90,1),(109,1),(144,1),(147,1),(150,1),(196,1),(198,1)}
       117:{1,2,5}:{(88,1),(89,1),(147,1)}
       118:{1,3,5,6}:{(89,1),(92,1),(112,1),(146,1),(148,1),(149,1),(170,1)}
       119:{2,3,5}:{(90,1),(91,1),(150,1)}
       120:{1,2,4,6}:{(91,1),(92,1),(148,1),(150,1),(151,1),(198,1)}
       121:{1,3,4,7}:{(92,1),(149,1),(151,1),(210,1)}
       122:{1,2,4,7}:{(93,1),(94,1),(95,1),(152,1),(153,1)}
       123:{2,3,5,7}:{(94,1),(96,1),(106,1),(153,1),(154,1),(165,1)}
       124:{1,3,4,6}:{(95,1),(97,1),(109,1),(152,1),(155,1),(158,1),(201,1),(203,1)}
       125:{1,2,5}:{(95,1),(96,1),(155,1)}
       126:{2,3,5,6}:{(96,1),(99,1),(111,1),(154,1),(156,1),(157,1),(170,1)}
       127:{1,3,5}:{(97,1),(98,1),(158,1)}
       128:{1,2,4,6}:{(98,1),(99,1),(156,1),(158,1),(159,1),(203,1)}
       129:{2,3,4,7}:{(99,1),(157,1),(159,1),(210,1)}
       130:{1,2,4,6,7}:{(100,1),(101,1),(102,1),(105,1),(160,1),(161,1),(166,1),(222,1),(224,1)}
       131:{2,5,7}:{(101,1),(103,1),(162,1)}
       132:{1,5,7}:{(102,1),(103,1),(163,1)}
       133:{3,5,6}:{(103,1),(104,1),(108,1),(162,1),(163,1)}
       134:{4,5,6,7}:{(104,1),(164,1),(226,1)}
       135:{3,4,7}:{(105,1),(109,1),(165,1)}
       136:{1,2,4,5,7}:{(105,1),(106,1),(107,1),(110,1),(145,1),(153,1),(161,1),(165,1),(166,1),(195,1),(200,1),(205,1)}
       137:{2,4,6}:{(106,1),(108,1),(154,1),(162,1)}
       138:{1,4,6}:{(107,1),(108,1),(146,1),(163,1)}
       139:{3,4,6,7}:{(108,1),(113,1),(164,1),(167,1),(168,1),(209,1),(226,1)}
       140:{3,5}:{(109,1),(110,1)}
       141:{1,2,4,5,6}:{(110,1),(111,1),(112,1),(148,1),(156,1),(166,1),(170,1),(171,1),(198,1),(203,1),(221,1),(223,1),(225,1)}
       142:{2,4,5,7}:{(111,1),(113,1),(157,1),(167,1)}
       143:{1,4,5,7}:{(112,1),(113,1),(149,1),(168,1)}
       144:{2,3,4,7}:{(114,1),(116,1),(135,1),(172,1),(178,1),(213,1)}
       145:{1,2,5,7}:{(114,1),(115,1),(117,1),(172,1),(173,1)}
       146:{1,3,6}:{(115,1),(138,1),(173,1),(191,1)}
       147:{2,3,5}:{(116,1),(117,1),(140,1),(175,1)}
       148:{1,2,5,6}:{(117,1),(118,1),(120,1),(173,1),(176,1),(177,1)}
       149:{1,3,5,7}:{(118,1),(121,1),(143,1),(174,1),(177,1),(194,1)}
       150:{2,3,6}:{(119,1),(120,1),(178,1)}
       151:{1,2,4,7}:{(120,1),(121,1),(177,1),(178,1),(213,1)}
       152:{1,3,4,7}:{(122,1),(124,1),(135,1),(179,1),(185,1),(216,1)}
       153:{1,2,5,7}:{(122,1),(123,1),(125,1),(179,1),(180,1)}
       154:{2,3,6}:{(123,1),(137,1),(180,1),(191,1)}
       155:{1,3,5}:{(124,1),(125,1),(140,1),(182,1)}
       156:{1,2,5,6}:{(125,1),(126,1),(128,1),(180,1),(183,1),(184,1)}
       157:{2,3,5,7}:{(126,1),(129,1),(142,1),(181,1),(184,1),(194,1)}
       158:{1,3,6}:{(127,1),(128,1),(185,1)}
       159:{1,2,4,7}:{(128,1),(129,1),(184,1),(185,1),(216,1)}
       160:{3,4,6,7}:{(130,1),(135,1),(186,1),(191,1),(217,1)}
       161:{1,2,5,7}:{(130,1),(131,1),(132,1),(186,1),(187,1),(228,1),(229,1)}
       162:{2,5,6}:{(131,1),(133,1),(137,1)}
       163:{1,5,6}:{(132,1),(133,1),(138,1)}
       164:{3,5,6,7}:{(133,1),(134,1),(139,1),(188,1),(189,1)}
       165:{3,5,7}:{(135,1),(136,1),(140,1),(191,1)}
       166:{1,2,4,6}:{(136,1),(137,1),(138,1),(173,1),(180,1),(187,1),(191,1),(211,1),(214,1),(217,1)}
       167:{2,4,6,7}:{(137,1),(139,1),(142,1),(181,1),(188,1)}
       168:{1,4,6,7}:{(138,1),(139,1),(143,1),(174,1),(189,1)}
       169:{3,4,5}:{(140,1),(175,1),(182,1),(193,1)}
       170:{3,5,6}:{(140,1),(141,1),(191,1),(193,1),(194,1)}
       171:{1,2,4,5,7}:{(141,1),(142,1),(143,1),(177,1),(184,1),(192,1),(194,1),(213,1),(216,1),(228,1),(229,1),(230,1)}
       172:{2,3,5,7}:{(144,1),(145,1),(147,1),(165,1),(195,1),(196,1)}
       173:{1,2,6}:{(145,1),(146,1),(196,1)}
       174:{1,3,6,7}:{(146,1),(149,1),(168,1),(197,1),(209,1)}
       175:{2,4,5}:{(147,1),(169,1),(198,1)}
       176:{2,3,5,6}:{(147,1),(148,1),(150,1),(170,1),(196,1),(198,1),(199,1),(221,1)}
       177:{1,2,5,7}:{(148,1),(149,1),(151,1),(197,1),(199,1)}
       178:{2,3,7}:{(150,1),(151,1)}
       179:{1,3,5,7}:{(152,1),(153,1),(155,1),(165,1),(200,1),(201,1)}
       180:{1,2,6}:{(153,1),(154,1),(201,1)}
       181:{2,3,6,7}:{(154,1),(157,1),(167,1),(202,1),(209,1)}
       182:{1,4,5}:{(155,1),(169,1),(203,1)}
       183:{1,3,5,6}:{(155,1),(156,1),(158,1),(170,1),(201,1),(203,1),(204,1),(223,1)}
       184:{1,2,5,7}:{(156,1),(157,1),(159,1),(202,1),(204,1)}
       185:{1,3,7}:{(158,1),(159,1)}
       186:{3,5,7}:{(160,1),(161,1),(205,1),(206,1)}
       187:{1,2,5,6}:{(161,1),(162,1),(163,1),(166,1),(206,1),(221,1),(223,1)}
       188:{2,5,6,7}:{(162,1),(164,1),(167,1)}
       189:{1,5,6,7}:{(163,1),(164,1),(168,1)}
       190:{3,4,5,7}:{(165,1),(169,1),(195,1),(200,1),(205,1),(208,1),(210,1),(227,1)}
       191:{3,6}:{(165,1),(166,1)}
       192:{1,2,4,6,7}:{(166,1),(167,1),(168,1),(171,1),(197,1),(202,1),(207,1),(209,1),(222,1),(224,1),(226,1)}
       193:{3,4,6}:{(169,1),(170,1),(198,1),(203,1),(210,1)}
       194:{3,5,7}:{(170,1),(171,1),(209,1),(210,1)}
       195:{2,4,5,7}:{(172,1),(175,1),(190,1),(211,1),(213,1),(228,1)}
       196:{2,3,6}:{(172,1),(173,1),(191,1),(211,1)}
       197:{1,2,6,7}:{(173,1),(174,1),(177,1),(212,1)}
       198:{2,4,6}:{(175,1),(176,1),(193,1),(213,1)}
       199:{2,3,5,7}:{(176,1),(177,1),(178,1),(194,1),(212,1),(213,1),(228,1)}
       200:{1,4,5,7}:{(179,1),(182,1),(190,1),(214,1),(216,1),(229,1)}
       201:{1,3,6}:{(179,1),(180,1),(191,1),(214,1)}
       202:{1,2,6,7}:{(180,1),(181,1),(184,1),(215,1)}
       203:{1,4,6}:{(182,1),(183,1),(193,1),(216,1)}
       204:{1,3,5,7}:{(183,1),(184,1),(185,1),(194,1),(215,1),(216,1),(229,1)}
       205:{4,5,7}:{(186,1),(217,1)}
       206:{3,5,6}:{(186,1),(187,1),(191,1),(217,1)}
       207:{1,2,5,6,7}:{(187,1),(188,1),(189,1),(192,1),(218,1),(228,1),(229,1)}
       208:{3,4,6}:{(190,1),(191,1),(211,1),(214,1),(217,1),(219,1)}
       209:{3,6,7}:{(191,1),(192,1),(194,1)}
       210:{3,4,7}:{(193,1),(194,1),(213,1),(216,1)}
       211:{2,4,6}:{(195,1),(196,1),(208,1),(221,1)}
       212:{2,3,6,7}:{(196,1),(197,1),(199,1),(209,1),(222,1)}
       213:{2,4,7}:{(198,1),(199,1),(210,1)}
       214:{1,4,6}:{(200,1),(201,1),(208,1),(223,1)}
       215:{1,3,6,7}:{(201,1),(202,1),(204,1),(209,1),(224,1)}
       216:{1,4,7}:{(203,1),(204,1),(210,1)}
       217:{4,6}:{(205,1),(206,1)}
       218:{3,5,6,7}:{(206,1),(207,1),(209,1),(226,1),(227,1)}
       219:{3,5,6}:{(208,1),(221,1),(223,1),(225,1),(227,1)}
       220:{3,4,6,7}:{(208,1),(209,1),(210,1),(222,1),(224,1),(226,1),(227,1)}
       221:{2,5,6}:{(211,1),(219,1),(228,1)}
       222:{2,4,6,7}:{(211,1),(212,1),(213,1),(220,1),(228,1)}
       223:{1,5,6}:{(214,1),(219,1),(229,1)}
       224:{1,4,6,7}:{(214,1),(215,1),(216,1),(220,1),(229,1)}
       225:{4,5,6}:{(217,1),(219,1),(230,1)}
       226:{4,6,7}:{(217,1),(218,1),(230,1)}
       227:{3,5,7}:{(219,1),(220,1),(228,1),(229,1),(230,1)}
       228:{2,5,7}:{(221,1),(222,1),(227,1)}
       229:{1,5,7}:{(223,1),(224,1),(227,1)}
       230:{4,5,7}:{(225,1),(226,1),(227,1)}

1671 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(78,1),(79,1),(80,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(13,1),(14,1),(17,1),(41,1),(47,1),(48,1),(49,1),(78,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(21,1),(24,1),(58,1),(68,1),(69,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(93,1),(94,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(64,1),(65,1)}
         5:{3,4,6,7}:{(3,1),(10,1),(11,1),(36,1),(41,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(11,1),(83,1),(84,1)}
         7:{1,2,5,7}:{(3,1),(10,1),(13,1),(100,1),(101,1)}
         8:{3,4,6}:{(4,1),(11,1),(17,1),(41,1)}
         9:{1,2,4,5}:{(4,1),(17,1),(44,1),(45,1),(47,1)}
        10:{3,5,7}:{(5,1),(7,1),(19,1),(20,1)}
        11:{3,4,7}:{(6,1),(8,1),(24,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(19,1),(24,1),(25,1),(54,1),(55,1),(58,1)}
        13:{1,2,5,6}:{(7,1),(20,1),(25,1),(88,1),(89,1)}
        14:{1,2,3,6}:{(21,1),(27,1),(29,1),(96,1)}
        15:{2,3,4,6}:{(8,1),(22,1),(29,1),(30,1),(59,1),(62,1),(64,1),(86,1),(96,1)}
        16:{1,3,4,6}:{(8,1),(23,1),(29,1),(31,1),(60,1),(62,1),(65,1),(86,1),(96,1)}
        17:{3,5}:{(8,1),(9,1)}
        18:{1,2,4,5,6}:{(9,1),(25,1),(32,1),(33,1),(52,1),(64,1),(65,1),(67,1),(88,1),(89,1)}
        19:{4,5,7}:{(10,1),(36,1)}
        20:{3,5,6}:{(10,1),(13,1),(36,1),(41,1)}
        21:{1,2,3,7}:{(14,1),(38,1),(104,1)}
        22:{2,3,4,7}:{(11,1),(15,1),(38,1),(39,1),(73,1),(83,1),(104,1)}
        23:{1,3,4,7}:{(11,1),(16,1),(38,1),(40,1),(73,1),(84,1),(104,1)}
        24:{3,5,7}:{(11,1),(12,1),(17,1),(41,1)}
        25:{1,2,4,6}:{(12,1),(13,1),(36,1),(41,1),(75,1),(76,1),(78,1)}
        26:{1,2,5,6,7}:{(13,1),(37,1),(42,1),(100,1),(101,1)}
        27:{1,2,3,5}:{(14,1),(43,1),(47,1),(81,1)}
        28:{3,4,5}:{(17,1),(44,1),(45,1),(46,1),(81,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(16,1),(38,1),(43,1),(47,1),(78,1)}
        30:{2,3,5}:{(15,1),(17,1),(44,1),(47,1),(81,1),(98,1)}
        31:{1,3,5}:{(16,1),(17,1),(45,1),(47,1),(81,1),(98,1)}
        32:{3,5,6}:{(17,1),(18,1),(41,1),(46,1),(50,1)}
        33:{1,2,4,5,7}:{(18,1),(42,1),(50,1),(72,1),(83,1),(84,1),(85,1),(100,1),(101,1)}
        34:{1,2,3,5,7}:{(21,1),(27,1),(51,1),(53,1),(58,1),(87,1),(91,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(28,1),(54,1),(55,1),(56,1),(66,1),(90,1),(91,1),(105,1),(111,1)}
        36:{4,6}:{(19,1),(20,1)}
        37:{3,5,6,7}:{(20,1),(26,1),(57,1),(61,1),(90,1)}
        38:{1,2,4,7}:{(21,1),(22,1),(23,1),(29,1),(58,1)}
        39:{2,3,5,7}:{(22,1),(24,1),(30,1),(54,1),(58,1),(59,1),(91,1)}
        40:{1,3,5,7}:{(23,1),(24,1),(31,1),(55,1),(58,1),(60,1),(91,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,2,4,6,7}:{(25,1),(26,1),(33,1),(57,1),(61,1),(93,1),(94,1),(95,1)}
        43:{1,2,4}:{(27,1),(62,1)}
        44:{2,4,5}:{(28,1),(30,1),(64,1),(105,1)}
        45:{1,4,5}:{(28,1),(31,1),(65,1),(105,1)}
        46:{3,4,6}:{(28,1),(32,1),(64,1),(65,1),(66,1),(96,1)}
        47:{1,2,5}:{(29,1),(30,1),(31,1)}
        48:{2,3,5,6}:{(30,1),(32,1),(59,1),(64,1),(67,1),(68,1),(88,1),(96,1),(106,1)}
        49:{1,3,5,6}:{(31,1),(32,1),(60,1),(65,1),(67,1),(69,1),(89,1),(96,1),(106,1)}
        50:{3,5,7}:{(32,1),(33,1),(61,1),(66,1)}
        51:{1,2,3,6}:{(34,1),(70,1),(78,1),(102,1)}
        52:{4,5,6}:{(36,1),(71,1),(72,1),(109,1)}
        53:{1,2,4,7}:{(34,1),(43,1),(70,1),(73,1)}
        54:{2,4,5,7}:{(35,1),(39,1),(44,1),(75,1),(83,1),(100,1)}
        55:{1,4,5,7}:{(35,1),(40,1),(45,1),(76,1),(84,1),(101,1)}
        56:{3,4,6}:{(35,1),(36,1),(41,1),(71,1),(75,1),(76,1),(102,1),(109,1)}
        57:{4,6,7}:{(36,1),(37,1),(72,1)}
        58:{1,2,5,7}:{(38,1),(39,1),(40,1),(47,1),(78,1)}
        59:{2,3,6}:{(39,1),(41,1),(75,1),(78,1),(102,1)}
        60:{1,3,6}:{(40,1),(41,1),(76,1),(78,1),(102,1)}
        61:{3,6,7}:{(41,1),(42,1),(50,1)}
        62:{3,4}:{(43,1),(81,1)}
        63:{1,2,4,5}:{(43,1),(44,1),(45,1),(47,1),(81,1),(82,1)}
        64:{2,4,6}:{(44,1),(46,1),(48,1),(83,1),(109,1)}
        65:{1,4,6}:{(45,1),(46,1),(49,1),(84,1),(109,1)}
        66:{3,4,7}:{(46,1),(50,1),(83,1),(84,1),(104,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(49,1),(78,1),(82,1),(85,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(79,1),(83,1),(85,1),(100,1),(104,1),(110,1)}
        69:{1,3,5,7}:{(49,1),(50,1),(80,1),(84,1),(85,1),(101,1),(104,1),(110,1)}
        70:{1,2,4,6}:{(51,1),(53,1),(86,1),(87,1)}
        71:{3,5,6}:{(52,1),(56,1),(88,1),(89,1),(90,1)}
        72:{4,5,7}:{(52,1),(57,1),(90,1),(111,1)}
        73:{3,4,7}:{(53,1),(62,1),(86,1),(91,1),(111,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(58,1),(63,1),(87,1),(91,1),(92,1),(97,1),(105,1),(107,1),(111,1)}
        75:{2,4,6}:{(54,1),(56,1),(59,1),(88,1)}
        76:{1,4,6}:{(55,1),(56,1),(60,1),(89,1)}
        77:{3,4,6,7}:{(56,1),(57,1),(61,1),(66,1),(90,1),(93,1),(94,1),(108,1),(111,1)}
        78:{1,2,6}:{(58,1),(59,1),(60,1)}
        79:{2,3,6,7}:{(59,1),(61,1),(68,1),(93,1),(95,1),(108,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(69,1),(94,1),(95,1),(108,1)}
        81:{3,5}:{(62,1),(63,1),(96,1)}
        82:{1,2,4,6}:{(63,1),(64,1),(65,1),(67,1),(96,1),(97,1)}
        83:{2,4,7}:{(64,1),(66,1),(68,1),(111,1)}
        84:{1,4,7}:{(65,1),(66,1),(69,1),(111,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(95,1),(97,1)}
        86:{3,4,6}:{(70,1),(73,1),(98,1),(102,1),(109,1)}
        87:{1,2,5}:{(70,1),(98,1)}
        88:{2,5,6}:{(71,1),(75,1),(100,1)}
        89:{1,5,6}:{(71,1),(76,1),(101,1)}
        90:{3,5,7}:{(71,1),(72,1),(77,1),(100,1),(101,1)}
        91:{3,5,7}:{(73,1),(74,1),(81,1),(98,1),(102,1),(104,1)}
        92:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(99,1),(102,1),(109,1)}
        93:{2,4,6,7}:{(75,1),(77,1),(79,1),(83,1),(100,1)}
        94:{1,4,6,7}:{(76,1),(77,1),(80,1),(84,1),(101,1)}
        95:{1,2,6,7}:{(78,1),(79,1),(80,1),(85,1)}
        96:{3,6}:{(81,1),(82,1),(104,1)}
        97:{1,2,4,7}:{(82,1),(83,1),(84,1),(85,1),(104,1)}
        98:{3,5}:{(86,1),(87,1),(105,1)}
        99:{1,2,5,6}:{(87,1),(88,1),(89,1),(92,1),(106,1),(107,1)}
       100:{2,5,7}:{(88,1),(90,1),(93,1)}
       101:{1,5,7}:{(89,1),(90,1),(94,1)}
       102:{3,6}:{(91,1),(92,1)}
       103:{1,2,4,6,7}:{(92,1),(93,1),(94,1),(95,1),(97,1),(107,1),(108,1),(111,1)}
       104:{3,7}:{(96,1),(97,1)}
       105:{4,5}:{(98,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(102,1),(109,1),(110,1)}
       107:{1,2,5,7}:{(99,1),(100,1),(101,1),(103,1),(110,1)}
       108:{3,6,7}:{(102,1),(103,1),(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1672 :   0:{1,2,5,6,7}:{(1,1),(2,1),(33,1),(34,1),(65,1)}
         1:{3,5,6,7}:{(0,1),(5,1),(6,1),(20,1),(80,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(6,1),(21,1),(22,1),(23,1),(78,1)}
         3:{1,2,4,5,6}:{(4,1),(7,1),(19,1),(25,1),(26,1),(27,1),(47,1),(48,1),(55,1),(78,1),(99,1),(103,1),(104,1)}
         4:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(29,1),(30,1),(31,1),(33,1),(34,1)}
         5:{4,6,7}:{(1,1),(9,1),(91,1)}
         6:{3,6,7}:{(2,1),(8,1),(89,1)}
         7:{3,5,6}:{(3,1),(8,1),(13,1),(71,1),(89,1),(102,1)}
         8:{3,5,7}:{(4,1),(6,1),(7,1),(16,1)}
         9:{4,5,7}:{(5,1),(19,1),(20,1),(81,1),(99,1)}
        10:{3,4,6,7}:{(5,1),(6,1),(16,1),(20,1),(21,1),(22,1),(43,1),(50,1),(81,1),(98,1)}
        11:{1,3,6,7}:{(6,1),(17,1),(21,1),(23,1),(50,1),(75,1),(94,1)}
        12:{2,3,6,7}:{(6,1),(18,1),(22,1),(23,1),(50,1),(72,1),(96,1)}
        13:{3,4,6}:{(7,1),(16,1),(24,1),(25,1),(26,1),(56,1),(84,1)}
        14:{1,3,5,6}:{(7,1),(17,1),(25,1),(27,1),(47,1),(53,1),(56,1),(75,1),(80,1),(82,1),(94,1),(103,1)}
        15:{2,3,5,6}:{(7,1),(18,1),(26,1),(27,1),(48,1),(51,1),(56,1),(72,1),(80,1),(83,1),(96,1),(104,1)}
        16:{3,4,7}:{(8,1),(13,1),(29,1),(30,1),(64,1)}
        17:{1,3,5,7}:{(8,1),(11,1),(14,1),(29,1),(31,1),(33,1),(64,1),(66,1)}
        18:{2,3,5,7}:{(8,1),(12,1),(15,1),(30,1),(31,1),(34,1),(64,1),(66,1)}
        19:{4,5,6}:{(9,1),(32,1),(91,1)}
        20:{3,5,7}:{(9,1),(10,1),(32,1),(33,1),(34,1),(102,1)}
        21:{1,4,6,7}:{(10,1),(11,1),(29,1),(33,1),(61,1),(100,1)}
        22:{2,4,6,7}:{(10,1),(12,1),(30,1),(34,1),(62,1),(101,1)}
        23:{1,2,6,7}:{(11,1),(12,1),(31,1),(85,1),(87,1)}
        24:{3,4,5}:{(13,1),(38,1),(39,1),(71,1),(102,1)}
        25:{1,4,6}:{(13,1),(14,1),(29,1),(38,1),(91,1),(92,1)}
        26:{2,4,6}:{(13,1),(15,1),(30,1),(39,1),(91,1),(93,1)}
        27:{1,2,5,6}:{(14,1),(15,1),(31,1),(40,1),(67,1),(69,1),(85,1),(87,1)}
        28:{3,4,5,7}:{(16,1),(20,1),(24,1),(43,1),(44,1),(45,1),(79,1),(81,1),(99,1)}
        29:{1,4,7}:{(16,1),(17,1),(25,1),(81,1)}
        30:{2,4,7}:{(16,1),(18,1),(26,1),(81,1)}
        31:{1,2,5,7}:{(17,1),(18,1),(23,1),(27,1),(46,1)}
        32:{3,5,6}:{(19,1),(20,1),(43,1),(47,1),(48,1)}
        33:{1,5,7}:{(20,1),(21,1),(47,1),(103,1)}
        34:{2,5,7}:{(20,1),(22,1),(48,1),(104,1)}
        35:{1,2,4,6,7}:{(21,1),(22,1),(23,1),(46,1),(49,1),(50,1),(78,1),(81,1)}
        36:{2,3,4,6}:{(26,1),(41,1),(51,1),(52,1),(56,1),(72,1),(84,1),(98,1)}
        37:{1,3,4,6}:{(25,1),(42,1),(53,1),(54,1),(56,1),(75,1),(84,1),(98,1)}
        38:{1,4,5}:{(24,1),(25,1),(53,1),(99,1),(103,1)}
        39:{2,4,5}:{(24,1),(26,1),(51,1),(99,1),(104,1)}
        40:{1,2,4,6}:{(25,1),(26,1),(27,1),(46,1),(55,1),(56,1)}
        41:{2,3,4,7}:{(30,1),(36,1),(57,1),(58,1),(64,1),(90,1)}
        42:{1,3,4,7}:{(29,1),(37,1),(59,1),(60,1),(64,1),(90,1)}
        43:{3,4,6}:{(28,1),(32,1),(61,1),(62,1),(89,1),(91,1)}
        44:{1,4,5,7}:{(28,1),(29,1),(33,1),(38,1),(59,1),(61,1)}
        45:{2,4,5,7}:{(28,1),(30,1),(34,1),(39,1),(57,1),(62,1)}
        46:{1,2,4,7}:{(29,1),(30,1),(31,1),(40,1),(64,1)}
        47:{1,5,6}:{(32,1),(33,1),(61,1)}
        48:{2,5,6}:{(32,1),(34,1),(62,1)}
        49:{1,2,5,7}:{(33,1),(34,1),(35,1),(65,1),(66,1)}
        50:{3,6,7}:{(35,1),(64,1),(66,1),(89,1)}
        51:{2,3,5}:{(36,1),(39,1),(67,1),(71,1),(102,1)}
        52:{1,2,4,6}:{(36,1),(58,1),(67,1),(68,1),(85,1),(92,1),(100,1)}
        53:{1,3,5}:{(37,1),(38,1),(69,1),(71,1),(102,1)}
        54:{1,2,4,6}:{(37,1),(60,1),(69,1),(70,1),(87,1),(93,1),(101,1)}
        55:{1,2,4,5}:{(38,1),(39,1),(40,1),(67,1),(69,1),(71,1),(92,1),(93,1)}
        56:{3,6}:{(40,1),(64,1),(71,1)}
        57:{2,3,5,7}:{(41,1),(45,1),(51,1),(72,1),(73,1),(79,1)}
        58:{1,2,4,7}:{(41,1),(52,1),(73,1),(74,1),(95,1)}
        59:{1,3,5,7}:{(42,1),(44,1),(53,1),(75,1),(76,1),(79,1)}
        60:{1,2,4,7}:{(42,1),(54,1),(76,1),(77,1),(97,1)}
        61:{1,4,6}:{(43,1),(44,1),(47,1),(75,1)}
        62:{2,4,6}:{(43,1),(45,1),(48,1),(72,1)}
        63:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(49,1),(55,1),(73,1),(76,1),(78,1),(79,1),(81,1),(95,1),(97,1),(99,1),(103,1),(104,1)}
        64:{3,7}:{(46,1),(56,1)}
        65:{1,2,5,6}:{(47,1),(48,1),(49,1),(78,1),(80,1),(103,1),(104,1)}
        66:{3,5,7}:{(49,1),(50,1),(80,1),(81,1)}
        67:{1,2,5}:{(51,1),(52,1),(82,1),(103,1)}
        68:{1,3,6}:{(52,1),(56,1),(74,1),(82,1)}
        69:{1,2,5}:{(53,1),(54,1),(83,1),(104,1)}
        70:{2,3,6}:{(54,1),(56,1),(77,1),(83,1)}
        71:{3,5}:{(55,1),(56,1),(84,1)}
        72:{2,3,6}:{(57,1),(62,1),(85,1),(89,1)}
        73:{1,2,5,7}:{(57,1),(58,1),(67,1),(85,1),(86,1)}
        74:{1,3,7}:{(58,1),(64,1),(68,1)}
        75:{1,3,6}:{(59,1),(61,1),(87,1),(89,1)}
        76:{1,2,5,7}:{(59,1),(60,1),(69,1),(87,1),(88,1)}
        77:{2,3,7}:{(60,1),(64,1),(70,1)}
        78:{1,2,4,6}:{(61,1),(62,1),(63,1),(65,1),(85,1),(87,1),(89,1),(91,1),(100,1),(101,1)}
        79:{3,5,7}:{(63,1),(64,1),(71,1),(89,1),(90,1),(102,1)}
        80:{3,5,6}:{(65,1),(66,1),(89,1),(91,1),(102,1)}
        81:{4,7}:{(66,1),(91,1)}
        82:{1,3,5}:{(67,1),(68,1),(71,1),(92,1)}
        83:{2,3,5}:{(69,1),(70,1),(71,1),(93,1)}
        84:{3,4}:{(71,1),(92,1),(93,1)}
        85:{1,2,6}:{(72,1),(73,1),(94,1)}
        86:{1,3,5,7}:{(73,1),(74,1),(79,1),(82,1),(94,1),(95,1),(103,1)}
        87:{1,2,6}:{(75,1),(76,1),(96,1)}
        88:{2,3,5,7}:{(76,1),(77,1),(79,1),(83,1),(96,1),(97,1),(104,1)}
        89:{3,6}:{(78,1),(79,1)}
        90:{3,4,7}:{(79,1),(81,1),(84,1),(95,1),(97,1),(98,1)}
        91:{4,6}:{(80,1),(81,1),(99,1)}
        92:{1,4}:{(82,1),(84,1)}
        93:{2,4}:{(83,1),(84,1)}
        94:{1,3,6}:{(85,1),(86,1),(89,1),(100,1)}
        95:{1,4,7}:{(86,1),(90,1),(92,1),(100,1)}
        96:{2,3,6}:{(87,1),(88,1),(89,1),(101,1)}
        97:{2,4,7}:{(88,1),(90,1),(93,1),(101,1)}
        98:{3,4,6}:{(89,1),(90,1),(91,1),(100,1),(101,1),(102,1)}
        99:{4,5}:{(91,1),(102,1)}
       100:{1,4,6}:{(94,1),(95,1),(98,1),(103,1)}
       101:{2,4,6}:{(96,1),(97,1),(98,1),(104,1)}
       102:{3,5}:{(98,1),(99,1),(103,1),(104,1)}
       103:{1,5}:{(100,1),(102,1)}
       104:{2,5}:{(101,1),(102,1)}

1673 :   0:{1,2,3,5,7}:{(3,1),(6,1),(9,1),(11,1),(36,1),(43,1),(46,1),(53,1),(57,1),(61,1)}
         1:{3,4,5,7}:{(12,1),(13,1),(14,1),(37,1),(47,1),(60,1),(61,1),(108,1),(122,1),(130,1),(184,1)}
         2:{3,5,6,7}:{(5,1),(8,1),(15,1),(45,1),(55,1),(60,1)}
         3:{1,2,3,7}:{(16,1),(19,1),(80,1),(188,1),(190,1)}
         4:{2,3,4,7}:{(17,1),(19,1),(20,1),(31,1),(81,1),(140,1),(190,1)}
         5:{2,5,6,7}:{(2,1),(21,1),(93,1),(97,1)}
         6:{1,2,3,7}:{(22,1),(25,1),(65,1),(196,1),(198,1)}
         7:{1,3,4,7}:{(23,1),(25,1),(26,1),(31,1),(66,1),(153,1),(198,1)}
         8:{1,5,6,7}:{(2,1),(27,1),(79,1),(98,1)}
         9:{1,2,3,6}:{(0,1),(28,1),(77,1),(92,1),(100,1)}
        10:{4,5,6}:{(29,1),(30,1),(159,1)}
        11:{1,2,4,7}:{(0,1),(28,1),(31,1),(67,1),(82,1)}
        12:{2,4,5,7}:{(1,1),(20,1),(33,1),(68,1),(83,1),(97,1),(140,1),(152,1)}
        13:{1,4,5,7}:{(1,1),(26,1),(34,1),(69,1),(84,1),(98,1),(141,1),(153,1)}
        14:{3,4,6}:{(1,1),(29,1),(33,1),(34,1),(100,1),(159,1)}
        15:{4,6,7}:{(2,1),(30,1)}
        16:{1,2,3,6}:{(3,1),(36,1),(38,1),(164,1),(167,1)}
        17:{2,3,4,6}:{(4,1),(38,1),(39,1),(44,1),(56,1),(104,1),(106,1),(167,1)}
        18:{2,4,5,6}:{(10,1),(40,1),(41,1),(58,1),(106,1)}
        19:{1,2,4,7}:{(3,1),(4,1),(38,1),(42,1),(43,1),(116,1)}
        20:{2,3,5,7}:{(4,1),(12,1),(39,1),(43,1),(44,1),(61,1),(117,1),(175,1)}
        21:{2,4,6,7}:{(5,1),(15,1),(41,1),(45,1)}
        22:{1,2,3,6}:{(6,1),(46,1),(48,1),(174,1),(177,1)}
        23:{1,3,4,6}:{(7,1),(48,1),(49,1),(54,1),(56,1),(118,1),(121,1),(177,1)}
        24:{1,4,5,6}:{(10,1),(50,1),(51,1),(59,1),(121,1)}
        25:{1,2,4,7}:{(6,1),(7,1),(48,1),(52,1),(53,1),(102,1)}
        26:{1,3,5,7}:{(7,1),(13,1),(49,1),(53,1),(54,1),(61,1),(103,1),(165,1)}
        27:{1,4,6,7}:{(8,1),(15,1),(51,1),(55,1)}
        28:{1,2,4,6}:{(9,1),(11,1),(56,1),(57,1)}
        29:{3,5,6}:{(10,1),(14,1),(58,1),(59,1),(60,1)}
        30:{4,5,7}:{(10,1),(15,1),(60,1),(184,1)}
        31:{3,4,7}:{(11,1),(56,1),(61,1),(104,1),(118,1),(184,1)}
        32:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(43,1),(53,1),(57,1),(61,1),(62,1),(105,1),(113,1),(119,1),(127,1),(130,1),(132,1),(168,1),(178,1),(184,1)}
        33:{2,4,6}:{(12,1),(14,1),(44,1),(58,1)}
        34:{1,4,6}:{(13,1),(14,1),(54,1),(59,1)}
        35:{3,4,6,7}:{(14,1),(15,1),(45,1),(55,1),(60,1),(63,1),(64,1),(108,1),(122,1),(134,1),(184,1)}
        36:{1,2,3,5}:{(16,1),(65,1),(67,1),(72,1),(136,1),(138,1)}
        37:{3,4,5}:{(68,1),(69,1),(70,1),(138,1)}
        38:{1,2,4,6}:{(16,1),(17,1),(19,1),(67,1),(71,1),(72,1),(77,1)}
        39:{2,3,5}:{(17,1),(68,1),(72,1),(95,1),(138,1)}
        40:{3,5,6}:{(18,1),(70,1),(74,1),(75,1)}
        41:{2,4,5,7}:{(18,1),(21,1),(30,1),(75,1),(97,1),(140,1)}
        42:{1,3,4,7}:{(19,1),(31,1),(71,1),(76,1),(147,1),(190,1),(192,1)}
        43:{1,2,5,7}:{(19,1),(20,1),(72,1),(76,1),(77,1),(148,1),(196,1)}
        44:{2,3,6}:{(20,1),(33,1),(77,1),(100,1)}
        45:{3,6,7}:{(21,1),(75,1),(79,1)}
        46:{1,2,3,5}:{(22,1),(80,1),(82,1),(87,1),(148,1),(150,1)}
        47:{3,4,5}:{(83,1),(84,1),(85,1),(150,1)}
        48:{1,2,4,6}:{(22,1),(23,1),(25,1),(82,1),(86,1),(87,1),(92,1)}
        49:{1,3,5}:{(23,1),(84,1),(87,1),(95,1),(150,1)}
        50:{3,5,6}:{(24,1),(85,1),(88,1),(90,1)}
        51:{1,4,5,7}:{(24,1),(27,1),(30,1),(90,1),(98,1),(153,1)}
        52:{2,3,4,7}:{(25,1),(31,1),(86,1),(91,1),(135,1),(198,1),(200,1)}
        53:{1,2,5,7}:{(25,1),(26,1),(87,1),(91,1),(92,1),(136,1),(188,1)}
        54:{1,3,6}:{(26,1),(34,1),(92,1),(100,1)}
        55:{3,6,7}:{(27,1),(90,1),(93,1)}
        56:{3,4,6}:{(28,1),(31,1),(95,1),(100,1),(159,1)}
        57:{1,2,5}:{(28,1),(95,1)}
        58:{2,5,6}:{(29,1),(33,1),(97,1)}
        59:{1,5,6}:{(29,1),(34,1),(98,1)}
        60:{3,5,7}:{(29,1),(30,1),(35,1),(97,1),(98,1)}
        61:{3,5,7}:{(31,1),(32,1),(95,1),(100,1),(138,1),(150,1),(190,1),(198,1)}
        62:{1,2,4,6}:{(32,1),(33,1),(34,1),(77,1),(92,1),(96,1),(100,1),(145,1),(157,1),(159,1)}
        63:{2,4,6,7}:{(33,1),(35,1),(78,1),(93,1),(97,1),(140,1),(152,1)}
        64:{1,4,6,7}:{(34,1),(35,1),(79,1),(94,1),(98,1),(141,1),(153,1)}
        65:{1,2,3}:{(102,1)}
        66:{1,3,4}:{(102,1),(103,1),(104,1)}
        67:{1,2,4}:{(36,1),(104,1)}
        68:{2,4,5}:{(37,1),(39,1),(106,1),(130,1)}
        69:{1,4,5}:{(37,1),(103,1),(107,1)}
        70:{3,4,6}:{(37,1),(40,1),(106,1),(107,1),(108,1),(167,1)}
        71:{1,3,4,6}:{(38,1),(42,1),(56,1),(104,1),(109,1),(114,1),(167,1),(169,1)}
        72:{1,2,5}:{(38,1),(39,1),(109,1)}
        73:{2,3,5,6}:{(39,1),(40,1),(44,1),(58,1),(106,1),(110,1),(111,1),(131,1),(167,1)}
        74:{1,5,6}:{(40,1),(107,1),(112,1)}
        75:{3,5,7}:{(40,1),(41,1),(45,1),(108,1),(112,1)}
        76:{1,3,5,7}:{(42,1),(43,1),(61,1),(109,1),(113,1),(114,1),(173,1),(211,1)}
        77:{1,2,6}:{(43,1),(44,1),(114,1)}
        78:{2,3,6,7}:{(44,1),(45,1),(63,1),(111,1),(115,1),(134,1),(175,1)}
        79:{1,6,7}:{(45,1),(112,1)}
        80:{1,2,3}:{(116,1)}
        81:{2,3,4}:{(116,1),(117,1),(118,1)}
        82:{1,2,4}:{(46,1),(118,1)}
        83:{2,4,5}:{(47,1),(117,1),(120,1)}
        84:{1,4,5}:{(47,1),(49,1),(121,1),(130,1)}
        85:{3,4,6}:{(47,1),(50,1),(120,1),(121,1),(122,1),(177,1)}
        86:{2,3,4,6}:{(48,1),(52,1),(56,1),(118,1),(123,1),(128,1),(177,1),(179,1)}
        87:{1,2,5}:{(48,1),(49,1),(123,1)}
        88:{2,5,6}:{(50,1),(120,1),(125,1)}
        89:{1,3,5,6}:{(49,1),(50,1),(54,1),(59,1),(121,1),(124,1),(126,1),(131,1),(177,1)}
        90:{3,5,7}:{(50,1),(51,1),(55,1),(122,1),(125,1)}
        91:{2,3,5,7}:{(52,1),(53,1),(61,1),(123,1),(127,1),(128,1),(163,1),(205,1)}
        92:{1,2,6}:{(53,1),(54,1),(128,1)}
        93:{2,6,7}:{(55,1),(125,1)}
        94:{1,3,6,7}:{(54,1),(55,1),(64,1),(126,1),(129,1),(134,1),(165,1)}
        95:{3,5}:{(56,1),(57,1),(130,1)}
        96:{1,2,5,6}:{(57,1),(58,1),(59,1),(62,1),(131,1),(132,1),(171,1),(181,1)}
        97:{2,5,7}:{(58,1),(60,1),(63,1)}
        98:{1,5,7}:{(59,1),(60,1),(64,1)}
        99:{3,4,5,7}:{(61,1),(113,1),(127,1),(130,1),(133,1),(166,1),(176,1),(184,1),(185,1),(207,1),(213,1)}
       100:{3,6}:{(61,1),(62,1)}
       101:{1,2,4,6,7}:{(62,1),(63,1),(64,1),(115,1),(129,1),(132,1),(134,1),(168,1),(172,1),(178,1),(182,1),(184,1)}
       102:{1,2,4}:{(65,1),(66,1),(135,1),(136,1)}
       103:{1,3,5}:{(66,1),(69,1),(136,1),(137,1),(138,1)}
       104:{3,4}:{(67,1),(138,1)}
       105:{1,2,4,5}:{(67,1),(68,1),(69,1),(72,1),(136,1),(138,1),(139,1),(142,1),(186,1)}
       106:{2,4,6}:{(68,1),(70,1),(73,1),(140,1),(159,1)}
       107:{1,4,6}:{(69,1),(70,1),(74,1),(137,1),(141,1)}
       108:{3,4,7}:{(70,1),(75,1),(140,1),(141,1),(190,1)}
       109:{1,3,5}:{(71,1),(72,1),(95,1),(138,1),(142,1)}
       110:{1,2,5,6}:{(72,1),(73,1),(74,1),(77,1),(139,1),(143,1),(144,1),(217,1)}
       111:{2,3,5,7}:{(73,1),(75,1),(78,1),(97,1),(140,1),(144,1),(160,1),(190,1)}
       112:{1,5,7}:{(74,1),(75,1),(79,1),(141,1)}
       113:{1,4,5,7}:{(76,1),(99,1),(142,1),(145,1),(192,1),(193,1),(194,1),(222,1)}
       114:{1,3,6}:{(76,1),(77,1),(100,1),(145,1)}
       115:{1,2,6,7}:{(77,1),(78,1),(79,1),(144,1),(146,1),(196,1),(229,1)}
       116:{1,2,4}:{(80,1),(81,1),(147,1),(148,1)}
       117:{2,3,5}:{(81,1),(83,1),(148,1),(149,1),(150,1)}
       118:{3,4}:{(82,1),(150,1)}
       119:{1,2,4,5}:{(82,1),(83,1),(84,1),(87,1),(148,1),(150,1),(151,1),(154,1),(194,1)}
       120:{2,4,6}:{(83,1),(85,1),(88,1),(149,1),(152,1)}
       121:{1,4,6}:{(84,1),(85,1),(89,1),(153,1),(159,1)}
       122:{3,4,7}:{(85,1),(90,1),(152,1),(153,1),(198,1)}
       123:{2,3,5}:{(86,1),(87,1),(95,1),(150,1),(154,1)}
       124:{1,2,5,6}:{(87,1),(88,1),(89,1),(92,1),(151,1),(155,1),(156,1),(221,1)}
       125:{2,5,7}:{(88,1),(90,1),(93,1),(152,1)}
       126:{1,3,5,7}:{(89,1),(90,1),(94,1),(98,1),(153,1),(156,1),(160,1),(198,1)}
       127:{2,4,5,7}:{(91,1),(99,1),(154,1),(157,1),(186,1),(200,1),(201,1),(218,1)}
       128:{2,3,6}:{(91,1),(92,1),(100,1),(157,1)}
       129:{1,2,6,7}:{(92,1),(93,1),(94,1),(156,1),(158,1),(188,1),(230,1)}
       130:{4,5}:{(95,1),(159,1)}
       131:{3,5,6}:{(95,1),(96,1),(100,1),(159,1),(160,1)}
       132:{1,2,5,7}:{(96,1),(97,1),(98,1),(101,1),(160,1),(193,1),(201,1)}
       133:{3,4,6}:{(99,1),(100,1),(145,1),(157,1),(159,1),(161,1)}
       134:{3,6,7}:{(100,1),(101,1),(160,1),(190,1),(198,1)}
       135:{2,3,4}:{(102,1),(104,1),(163,1)}
       136:{1,2,5}:{(102,1),(103,1),(163,1),(164,1)}
       137:{1,3,6}:{(103,1),(107,1),(164,1),(165,1),(167,1)}
       138:{3,5}:{(104,1),(105,1),(167,1)}
       139:{1,2,4,6}:{(105,1),(106,1),(107,1),(110,1),(164,1),(167,1),(168,1),(169,1),(204,1)}
       140:{2,4,7}:{(106,1),(108,1),(111,1),(184,1)}
       141:{1,4,7}:{(107,1),(108,1),(112,1),(165,1)}
       142:{1,4,5}:{(109,1),(130,1),(166,1),(169,1)}
       143:{1,3,5,6}:{(109,1),(110,1),(114,1),(131,1),(167,1),(169,1),(170,1),(171,1),(206,1)}
       144:{1,2,5,7}:{(110,1),(111,1),(112,1),(115,1),(168,1),(170,1),(225,1)}
       145:{1,4,6}:{(113,1),(114,1),(133,1),(171,1)}
       146:{1,3,6,7}:{(114,1),(115,1),(134,1),(170,1),(172,1),(211,1),(226,1)}
       147:{1,3,4}:{(116,1),(118,1),(173,1)}
       148:{1,2,5}:{(116,1),(117,1),(173,1),(174,1)}
       149:{2,3,6}:{(117,1),(120,1),(174,1),(175,1),(177,1)}
       150:{3,5}:{(118,1),(119,1),(177,1)}
       151:{1,2,4,6}:{(119,1),(120,1),(121,1),(124,1),(174,1),(177,1),(178,1),(179,1),(210,1)}
       152:{2,4,7}:{(120,1),(122,1),(125,1),(175,1)}
       153:{1,4,7}:{(121,1),(122,1),(126,1),(184,1)}
       154:{2,4,5}:{(123,1),(130,1),(176,1),(179,1)}
       155:{2,3,5,6}:{(123,1),(124,1),(128,1),(131,1),(177,1),(179,1),(180,1),(181,1),(212,1)}
       156:{1,2,5,7}:{(124,1),(125,1),(126,1),(129,1),(178,1),(180,1),(227,1)}
       157:{2,4,6}:{(127,1),(128,1),(133,1),(181,1)}
       158:{2,3,6,7}:{(128,1),(129,1),(134,1),(180,1),(182,1),(205,1),(228,1)}
       159:{4,6}:{(130,1),(131,1),(184,1)}
       160:{3,5,7}:{(131,1),(132,1),(134,1),(184,1)}
       161:{3,5,6}:{(133,1),(171,1),(181,1),(183,1),(185,1)}
       162:{3,4,6,7}:{(133,1),(134,1),(172,1),(182,1),(184,1),(185,1),(207,1),(213,1),(216,1),(226,1),(228,1)}
       163:{2,3,5}:{(135,1),(136,1),(138,1),(186,1),(187,1)}
       164:{1,2,6}:{(136,1),(137,1),(187,1),(188,1)}
       165:{1,3,7}:{(137,1),(141,1),(188,1),(190,1)}
       166:{3,4,5}:{(138,1),(142,1),(186,1),(189,1)}
       167:{3,6}:{(138,1),(139,1),(190,1)}
       168:{1,2,4,7}:{(139,1),(140,1),(141,1),(144,1),(188,1),(190,1),(192,1),(218,1)}
       169:{1,4,6}:{(142,1),(143,1),(159,1),(189,1),(192,1)}
       170:{1,3,5,7}:{(143,1),(144,1),(146,1),(160,1),(190,1),(192,1),(193,1),(219,1)}
       171:{1,5,6}:{(145,1),(161,1),(193,1)}
       172:{1,4,6,7}:{(145,1),(146,1),(162,1),(192,1),(193,1),(222,1),(230,1)}
       173:{1,3,5}:{(147,1),(148,1),(150,1),(194,1),(195,1)}
       174:{1,2,6}:{(148,1),(149,1),(195,1),(196,1)}
       175:{2,3,7}:{(149,1),(152,1),(196,1),(198,1)}
       176:{3,4,5}:{(150,1),(154,1),(194,1),(197,1)}
       177:{3,6}:{(150,1),(151,1),(198,1)}
       178:{1,2,4,7}:{(151,1),(152,1),(153,1),(156,1),(196,1),(198,1),(200,1),(222,1)}
       179:{2,4,6}:{(154,1),(155,1),(159,1),(197,1),(200,1)}
       180:{2,3,5,7}:{(155,1),(156,1),(158,1),(160,1),(198,1),(200,1),(201,1),(223,1)}
       181:{2,5,6}:{(157,1),(161,1),(201,1)}
       182:{2,4,6,7}:{(157,1),(158,1),(162,1),(200,1),(201,1),(218,1),(229,1)}
       183:{4,5,6}:{(159,1),(161,1),(202,1)}
       184:{4,7}:{(159,1),(160,1)}
       185:{3,5,7}:{(161,1),(162,1),(193,1),(201,1),(202,1)}
       186:{2,4,5}:{(163,1),(166,1),(204,1)}
       187:{2,3,6}:{(163,1),(164,1),(167,1),(204,1),(205,1)}
       188:{1,2,7}:{(164,1),(165,1),(205,1)}
       189:{3,4,6}:{(166,1),(167,1),(169,1),(204,1),(206,1),(207,1)}
       190:{3,7}:{(167,1),(168,1)}
       191:{1,4,5,6}:{(169,1),(171,1),(183,1),(206,1),(208,1)}
       192:{1,4,7}:{(169,1),(170,1),(184,1),(207,1)}
       193:{1,5,7}:{(171,1),(172,1),(185,1)}
       194:{1,4,5}:{(173,1),(176,1),(210,1)}
       195:{1,3,6}:{(173,1),(174,1),(177,1),(210,1),(211,1)}
       196:{1,2,7}:{(174,1),(175,1),(211,1)}
       197:{3,4,6}:{(176,1),(177,1),(179,1),(210,1),(212,1),(213,1)}
       198:{3,7}:{(177,1),(178,1)}
       199:{2,4,5,6}:{(179,1),(181,1),(183,1),(212,1),(214,1)}
       200:{2,4,7}:{(179,1),(180,1),(184,1),(213,1)}
       201:{2,5,7}:{(181,1),(182,1),(185,1)}
       202:{4,5,7}:{(183,1),(184,1),(185,1),(216,1)}
       203:{3,5,6,7}:{(185,1),(209,1),(215,1),(216,1),(226,1),(228,1)}
       204:{2,4,6}:{(186,1),(187,1),(189,1),(217,1),(218,1)}
       205:{2,3,7}:{(187,1),(188,1),(190,1),(218,1)}
       206:{3,5,6}:{(189,1),(191,1),(217,1),(219,1)}
       207:{3,4,7}:{(189,1),(190,1),(192,1),(218,1),(219,1)}
       208:{1,4,5,7}:{(191,1),(192,1),(193,1),(202,1),(219,1),(220,1)}
       209:{1,5,6,7}:{(193,1),(203,1),(220,1),(230,1)}
       210:{1,4,6}:{(194,1),(195,1),(197,1),(221,1),(222,1)}
       211:{1,3,7}:{(195,1),(196,1),(198,1),(222,1)}
       212:{3,5,6}:{(197,1),(199,1),(221,1),(223,1)}
       213:{3,4,7}:{(197,1),(198,1),(200,1),(222,1),(223,1)}
       214:{2,4,5,7}:{(199,1),(200,1),(201,1),(202,1),(223,1),(224,1)}
       215:{2,5,6,7}:{(201,1),(203,1),(224,1),(229,1)}
       216:{4,6,7}:{(202,1),(203,1)}
       217:{2,5,6}:{(204,1),(206,1),(225,1)}
       218:{2,4,7}:{(204,1),(205,1),(207,1),(225,1)}
       219:{3,5,7}:{(206,1),(207,1),(208,1),(225,1),(226,1)}
       220:{1,4,6,7}:{(208,1),(209,1),(216,1),(226,1)}
       221:{1,5,6}:{(210,1),(212,1),(227,1)}
       222:{1,4,7}:{(210,1),(211,1),(213,1),(227,1)}
       223:{3,5,7}:{(212,1),(213,1),(214,1),(227,1),(228,1)}
       224:{2,4,6,7}:{(214,1),(215,1),(216,1),(228,1)}
       225:{2,5,7}:{(217,1),(218,1),(219,1),(229,1)}
       226:{3,6,7}:{(219,1),(220,1),(229,1)}
       227:{1,5,7}:{(221,1),(222,1),(223,1),(230,1)}
       228:{3,6,7}:{(223,1),(224,1),(230,1)}
       229:{2,6,7}:{(225,1),(226,1)}
       230:{1,6,7}:{(227,1),(228,1)}

1674 :   0:{4,5,6,7}:{(1,1),(36,1),(223,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(4,1),(5,1),(228,1)}
         2:{3,4,5,6}:{(6,1),(7,1),(8,1),(32,1),(84,1),(194,1),(222,1)}
         3:{3,4,6,7}:{(1,1),(6,1),(9,1),(10,1),(35,1),(36,1),(222,1)}
         4:{1,5,6,7}:{(1,1),(9,1),(230,1)}
         5:{2,5,6,7}:{(1,1),(10,1),(229,1)}
         6:{3,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(50,1),(56,1)}
         7:{1,4,5,6}:{(2,1),(15,1),(16,1),(207,1),(227,1)}
         8:{2,4,5,6}:{(2,1),(14,1),(17,1),(202,1),(225,1)}
         9:{1,4,6,7}:{(3,1),(4,1),(16,1),(20,1),(227,1)}
        10:{2,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(225,1)}
        11:{1,2,5,6,7}:{(4,1),(5,1),(21,1),(22,1),(115,1),(116,1),(177,1)}
        12:{2,3,4,5}:{(23,1),(24,1),(78,1),(122,1),(182,1)}
        13:{1,3,4,5}:{(25,1),(26,1),(78,1),(131,1),(189,1)}
        14:{2,3,5,6}:{(8,1),(23,1),(27,1),(28,1),(32,1),(182,1),(217,1)}
        15:{1,3,5,6}:{(7,1),(25,1),(29,1),(30,1),(32,1),(189,1),(220,1)}
        16:{1,4,5,7}:{(6,1),(7,1),(9,1),(29,1)}
        17:{2,4,5,7}:{(6,1),(8,1),(10,1),(27,1)}
        18:{1,2,4,5,6}:{(7,1),(8,1),(28,1),(30,1),(31,1),(32,1),(74,1),(76,1),(84,1),(142,1),(149,1),(150,1),(196,1)}
        19:{2,3,6,7}:{(10,1),(27,1),(33,1),(35,1),(217,1)}
        20:{1,3,6,7}:{(9,1),(29,1),(34,1),(35,1),(220,1)}
        21:{1,2,4,6,7}:{(9,1),(10,1),(11,1),(31,1),(33,1),(34,1),(35,1),(36,1),(81,1),(82,1),(196,1)}
        22:{3,5,6,7}:{(11,1),(35,1),(36,1),(83,1),(199,1)}
        23:{2,3,4,6}:{(12,1),(14,1),(38,1),(39,1),(51,1)}
        24:{1,2,4,5}:{(12,1),(39,1),(40,1),(90,1),(108,1),(157,1)}
        25:{1,3,4,6}:{(13,1),(15,1),(42,1),(43,1),(51,1)}
        26:{1,2,4,5}:{(13,1),(43,1),(44,1),(98,1),(110,1),(165,1)}
        27:{2,3,5,7}:{(14,1),(17,1),(19,1),(38,1),(46,1),(50,1)}
        28:{1,2,5,6}:{(14,1),(39,1),(46,1),(47,1),(157,1),(204,1)}
        29:{1,3,5,7}:{(15,1),(16,1),(20,1),(42,1),(48,1),(50,1)}
        30:{1,2,5,6}:{(15,1),(43,1),(48,1),(49,1),(165,1),(209,1)}
        31:{1,2,4,5,7}:{(16,1),(17,1),(18,1),(21,1),(46,1),(48,1),(50,1),(56,1),(107,1),(109,1),(115,1),(116,1)}
        32:{3,5,6}:{(18,1),(50,1),(51,1),(171,1),(212,1)}
        33:{1,2,6,7}:{(19,1),(46,1),(53,1),(204,1)}
        34:{1,2,6,7}:{(20,1),(48,1),(54,1),(209,1)}
        35:{3,6,7}:{(21,1),(50,1),(212,1)}
        36:{4,6,7}:{(22,1),(56,1),(214,1)}
        37:{1,3,4,5}:{(57,1),(58,1),(62,1),(126,1),(194,1)}
        38:{2,3,4,7}:{(23,1),(27,1),(60,1),(77,1)}
        39:{1,2,4,6}:{(23,1),(24,1),(28,1),(60,1),(61,1),(74,1)}
        40:{1,3,5}:{(24,1),(61,1),(62,1)}
        41:{2,3,4,5}:{(63,1),(64,1),(68,1),(135,1),(194,1)}
        42:{1,3,4,7}:{(25,1),(29,1),(66,1),(77,1)}
        43:{1,2,4,6}:{(25,1),(26,1),(30,1),(66,1),(67,1),(76,1)}
        44:{2,3,5}:{(26,1),(67,1),(68,1)}
        45:{3,4,5,6}:{(69,1),(70,1),(71,1),(78,1),(139,1),(145,1),(223,1)}
        46:{1,2,5,7}:{(27,1),(28,1),(33,1),(60,1),(73,1)}
        47:{1,3,5,6}:{(28,1),(32,1),(61,1),(73,1),(74,1),(126,1),(149,1),(184,1)}
        48:{1,2,5,7}:{(29,1),(30,1),(34,1),(66,1),(75,1)}
        49:{2,3,5,6}:{(30,1),(32,1),(67,1),(75,1),(76,1),(135,1),(150,1),(191,1)}
        50:{3,5,7}:{(31,1),(32,1),(35,1),(77,1)}
        51:{3,4,6}:{(32,1),(74,1),(76,1),(77,1),(78,1)}
        52:{4,5,6,7}:{(79,1),(84,1),(197,1)}
        53:{1,3,6,7}:{(33,1),(35,1),(73,1),(81,1),(184,1)}
        54:{2,3,6,7}:{(34,1),(35,1),(75,1),(82,1),(191,1)}
        55:{3,4,6,7}:{(35,1),(36,1),(77,1),(81,1),(82,1),(83,1),(145,1)}
        56:{4,5,7}:{(36,1),(83,1),(84,1)}
        57:{1,3,4,6}:{(37,1),(85,1),(86,1),(87,1),(169,1)}
        58:{1,2,4,5}:{(37,1),(87,1),(88,1),(90,1),(157,1),(202,1)}
        59:{1,2,3,5}:{(40,1),(88,1),(89,1),(90,1),(157,1)}
        60:{1,2,4,7}:{(38,1),(39,1),(46,1),(91,1),(107,1)}
        61:{1,3,6}:{(39,1),(40,1),(91,1)}
        62:{1,3,4}:{(40,1),(90,1)}
        63:{2,3,4,6}:{(41,1),(93,1),(94,1),(95,1),(169,1)}
        64:{1,2,4,5}:{(41,1),(95,1),(96,1),(98,1),(165,1),(207,1)}
        65:{1,2,3,5}:{(44,1),(96,1),(97,1),(98,1),(165,1)}
        66:{1,2,4,7}:{(42,1),(43,1),(48,1),(99,1),(109,1)}
        67:{2,3,6}:{(43,1),(44,1),(99,1)}
        68:{2,3,4}:{(44,1),(98,1)}
        69:{3,4,5,7}:{(45,1),(101,1),(102,1),(103,1),(168,1),(213,1)}
        70:{1,4,5,6}:{(45,1),(85,1),(102,1),(108,1),(173,1)}
        71:{2,4,5,6}:{(45,1),(93,1),(103,1),(110,1),(174,1)}
        72:{1,2,3,5,6}:{(47,1),(49,1),(89,1),(97,1),(105,1),(106,1),(153,1),(157,1),(161,1),(165,1),(171,1),(177,1),(204,1),(209,1),(212,1)}
        73:{1,3,5,7}:{(46,1),(47,1),(50,1),(53,1),(91,1),(107,1),(115,1)}
        74:{1,4,6}:{(47,1),(51,1),(107,1),(108,1)}
        75:{2,3,5,7}:{(48,1),(49,1),(50,1),(54,1),(99,1),(109,1),(116,1)}
        76:{2,4,6}:{(49,1),(51,1),(109,1),(110,1)}
        77:{3,4,7}:{(50,1),(51,1),(107,1),(109,1)}
        78:{3,4,5}:{(51,1),(108,1),(110,1),(171,1)}
        79:{3,5,6,7}:{(52,1),(101,1),(112,1),(113,1),(117,1)}
        80:{1,2,3,6,7}:{(53,1),(54,1),(105,1),(114,1),(200,1),(204,1),(205,1),(209,1),(212,1)}
        81:{1,4,6,7}:{(53,1),(55,1),(107,1),(115,1),(173,1)}
        82:{2,4,6,7}:{(54,1),(55,1),(109,1),(116,1),(174,1)}
        83:{3,5,7}:{(55,1),(56,1),(115,1),(116,1),(117,1)}
        84:{4,5,6}:{(56,1),(117,1),(214,1)}
        85:{1,3,5,6}:{(57,1),(70,1),(118,1),(119,1),(126,1),(139,1),(184,1)}
        86:{1,3,4,7}:{(57,1),(118,1),(120,1),(193,1)}
        87:{1,2,4,6}:{(57,1),(58,1),(119,1),(120,1),(121,1),(180,1)}
        88:{2,3,5}:{(58,1),(121,1),(122,1)}
        89:{1,2,3,6}:{(59,1),(61,1),(121,1),(123,1),(124,1)}
        90:{1,2,4}:{(59,1),(62,1),(122,1)}
        91:{1,3,7}:{(60,1),(61,1)}
        92:{1,3,4,6}:{(61,1),(62,1),(74,1),(124,1),(125,1),(126,1),(140,1),(184,1)}
        93:{2,3,5,6}:{(63,1),(71,1),(127,1),(128,1),(135,1),(139,1),(191,1)}
        94:{2,3,4,7}:{(63,1),(127,1),(129,1),(193,1)}
        95:{1,2,4,6}:{(63,1),(64,1),(128,1),(129,1),(130,1),(187,1)}
        96:{1,3,5}:{(64,1),(130,1),(131,1)}
        97:{1,2,3,6}:{(65,1),(67,1),(130,1),(132,1),(133,1)}
        98:{1,2,4}:{(65,1),(68,1),(131,1)}
        99:{2,3,7}:{(66,1),(67,1)}
       100:{2,3,4,6}:{(67,1),(68,1),(76,1),(133,1),(134,1),(135,1),(140,1),(191,1)}
       101:{3,4,6,7}:{(69,1),(79,1),(136,1),(137,1),(145,1),(192,1),(197,1)}
       102:{1,4,5,7}:{(69,1),(70,1),(118,1),(136,1)}
       103:{2,4,5,7}:{(69,1),(71,1),(127,1),(137,1)}
       104:{1,2,4,5,6}:{(70,1),(71,1),(119,1),(128,1),(138,1),(139,1),(142,1),(180,1),(187,1),(196,1),(223,1),(229,1),(230,1)}
       105:{1,2,3,5,7}:{(72,1),(73,1),(75,1),(80,1),(123,1),(132,1),(141,1),(148,1),(179,1),(183,1),(186,1),(190,1),(195,1)}
       106:{1,2,4,6}:{(72,1),(74,1),(76,1),(140,1),(141,1),(142,1),(180,1),(187,1)}
       107:{1,4,7}:{(73,1),(74,1),(77,1)}
       108:{1,4,5}:{(74,1),(78,1),(126,1)}
       109:{2,4,7}:{(75,1),(76,1),(77,1)}
       110:{2,4,5}:{(76,1),(78,1),(135,1)}
       111:{3,4,5,7}:{(77,1),(78,1),(83,1),(143,1),(144,1),(145,1),(195,1),(198,1)}
       112:{1,5,6,7}:{(79,1),(136,1),(149,1)}
       113:{2,5,6,7}:{(79,1),(137,1),(150,1)}
       114:{1,2,4,6,7}:{(80,1),(81,1),(82,1),(141,1),(147,1),(148,1),(196,1),(215,1),(218,1)}
       115:{1,5,7}:{(81,1),(83,1),(149,1)}
       116:{2,5,7}:{(82,1),(83,1),(150,1)}
       117:{3,5,6}:{(83,1),(84,1),(145,1),(149,1),(150,1)}
       118:{1,3,5,7}:{(85,1),(86,1),(102,1),(151,1),(152,1),(168,1)}
       119:{1,2,5,6}:{(85,1),(87,1),(152,1),(153,1),(157,1),(204,1)}
       120:{1,2,4,7}:{(86,1),(87,1),(152,1),(154,1),(201,1)}
       121:{2,3,6}:{(87,1),(88,1),(154,1)}
       122:{2,3,4}:{(88,1),(90,1)}
       123:{1,2,3,7}:{(89,1),(91,1),(154,1),(156,1)}
       124:{1,2,4,6}:{(89,1),(90,1),(92,1),(155,1),(156,1),(157,1),(204,1)}
       125:{1,3,4,7}:{(91,1),(92,1),(107,1),(156,1),(158,1),(170,1)}
       126:{1,3,5}:{(92,1),(108,1),(157,1),(171,1)}
       127:{2,3,5,7}:{(93,1),(94,1),(103,1),(159,1),(160,1),(168,1)}
       128:{1,2,5,6}:{(93,1),(95,1),(160,1),(161,1),(165,1),(209,1)}
       129:{1,2,4,7}:{(94,1),(95,1),(160,1),(162,1),(206,1)}
       130:{1,3,6}:{(95,1),(96,1),(162,1)}
       131:{1,3,4}:{(96,1),(98,1)}
       132:{1,2,3,7}:{(97,1),(99,1),(162,1),(164,1)}
       133:{1,2,4,6}:{(97,1),(98,1),(100,1),(163,1),(164,1),(165,1),(209,1)}
       134:{2,3,4,7}:{(99,1),(100,1),(109,1),(164,1),(166,1),(170,1)}
       135:{2,3,5}:{(100,1),(110,1),(165,1),(171,1)}
       136:{1,4,6,7}:{(101,1),(102,1),(112,1),(151,1),(173,1)}
       137:{2,4,6,7}:{(101,1),(103,1),(113,1),(159,1),(174,1)}
       138:{1,2,4,5,7}:{(102,1),(103,1),(104,1),(152,1),(160,1),(167,1),(168,1),(201,1),(206,1),(213,1),(224,1),(226,1)}
       139:{3,5,6}:{(104,1),(168,1),(169,1),(171,1),(212,1)}
       140:{3,4,6}:{(106,1),(170,1),(171,1),(212,1)}
       141:{1,2,4,7}:{(105,1),(106,1),(107,1),(109,1),(170,1),(201,1),(206,1)}
       142:{1,2,4,5}:{(106,1),(108,1),(110,1),(157,1),(165,1),(171,1),(202,1),(207,1)}
       143:{1,4,5,7}:{(107,1),(108,1),(111,1),(115,1),(158,1),(173,1)}
       144:{2,4,5,7}:{(109,1),(110,1),(111,1),(116,1),(166,1),(174,1)}
       145:{3,4,6}:{(111,1),(117,1),(173,1),(174,1),(212,1),(214,1)}
       146:{1,2,5,6,7}:{(112,1),(113,1),(167,1),(175,1),(177,1),(224,1),(226,1)}
       147:{3,4,6,7}:{(114,1),(170,1),(176,1),(212,1),(214,1)}
       148:{1,2,5,7}:{(114,1),(115,1),(116,1),(176,1),(177,1),(224,1),(226,1)}
       149:{1,5,6}:{(115,1),(117,1),(173,1)}
       150:{2,5,6}:{(116,1),(117,1),(174,1)}
       151:{1,3,6,7}:{(118,1),(136,1),(178,1),(184,1),(192,1)}
       152:{1,2,5,7}:{(118,1),(119,1),(120,1),(178,1),(179,1)}
       153:{2,3,5,6}:{(119,1),(121,1),(139,1),(179,1),(180,1),(182,1),(217,1),(229,1)}
       154:{2,3,7}:{(120,1),(121,1)}
       155:{2,3,4,6}:{(121,1),(122,1),(124,1),(140,1),(180,1),(181,1),(182,1),(217,1)}
       156:{1,2,4,7}:{(123,1),(124,1),(125,1),(181,1),(183,1)}
       157:{1,2,5}:{(124,1),(126,1),(182,1)}
       158:{1,3,5,7}:{(125,1),(126,1),(143,1),(183,1),(184,1),(195,1)}
       159:{2,3,6,7}:{(127,1),(137,1),(185,1),(191,1),(192,1)}
       160:{1,2,5,7}:{(127,1),(128,1),(129,1),(185,1),(186,1)}
       161:{1,3,5,6}:{(128,1),(130,1),(139,1),(186,1),(187,1),(189,1),(220,1),(230,1)}
       162:{1,3,7}:{(129,1),(130,1)}
       163:{1,3,4,6}:{(130,1),(131,1),(133,1),(140,1),(187,1),(188,1),(189,1),(220,1)}
       164:{1,2,4,7}:{(132,1),(133,1),(134,1),(188,1),(190,1)}
       165:{1,2,5}:{(133,1),(135,1),(189,1)}
       166:{2,3,5,7}:{(134,1),(135,1),(144,1),(190,1),(191,1),(195,1)}
       167:{1,2,4,6,7}:{(136,1),(137,1),(138,1),(146,1),(178,1),(185,1),(192,1),(196,1),(197,1),(215,1),(218,1)}
       168:{3,5,7}:{(138,1),(139,1),(192,1),(193,1)}
       169:{3,4,6}:{(139,1),(180,1),(187,1),(193,1),(194,1)}
       170:{3,4,7}:{(140,1),(141,1),(195,1)}
       171:{3,5}:{(140,1),(142,1)}
       172:{1,2,4,5,7}:{(141,1),(142,1),(143,1),(144,1),(148,1),(183,1),(190,1),(195,1),(196,1),(198,1),(216,1),(219,1)}
       173:{1,4,6}:{(143,1),(145,1),(149,1),(184,1)}
       174:{2,4,6}:{(144,1),(145,1),(150,1),(191,1)}
       175:{3,5,6,7}:{(146,1),(192,1),(197,1),(199,1),(221,1)}
       176:{3,5,7}:{(147,1),(148,1),(198,1),(199,1)}
       177:{1,2,5,6}:{(148,1),(149,1),(150,1),(196,1),(199,1),(229,1),(230,1)}
       178:{1,2,6,7}:{(151,1),(152,1),(200,1),(204,1)}
       179:{2,3,5,7}:{(152,1),(153,1),(154,1),(168,1),(200,1),(201,1),(224,1)}
       180:{2,4,6}:{(153,1),(169,1),(201,1),(202,1)}
       181:{2,3,4,7}:{(154,1),(155,1),(156,1),(170,1),(201,1),(203,1)}
       182:{2,3,5}:{(155,1),(157,1),(171,1),(202,1)}
       183:{1,2,5,7}:{(156,1),(157,1),(158,1),(203,1),(204,1)}
       184:{1,3,6}:{(158,1),(173,1),(204,1),(212,1)}
       185:{1,2,6,7}:{(159,1),(160,1),(205,1),(209,1)}
       186:{1,3,5,7}:{(160,1),(161,1),(162,1),(168,1),(205,1),(206,1),(226,1)}
       187:{1,4,6}:{(161,1),(169,1),(206,1),(207,1)}
       188:{1,3,4,7}:{(162,1),(163,1),(164,1),(170,1),(206,1),(208,1)}
       189:{1,3,5}:{(163,1),(165,1),(171,1),(207,1)}
       190:{1,2,5,7}:{(164,1),(165,1),(166,1),(208,1),(209,1)}
       191:{2,3,6}:{(166,1),(174,1),(209,1),(212,1)}
       192:{3,6,7}:{(167,1),(168,1),(212,1)}
       193:{3,4,7}:{(168,1),(169,1),(201,1),(206,1)}
       194:{3,4,5}:{(169,1),(171,1),(202,1),(207,1)}
       195:{3,5,7}:{(170,1),(171,1),(172,1),(212,1)}
       196:{1,2,4,6}:{(172,1),(173,1),(174,1),(177,1),(204,1),(209,1),(212,1),(214,1),(225,1),(227,1)}
       197:{4,6,7}:{(175,1),(213,1),(214,1)}
       198:{4,5,7}:{(176,1),(214,1)}
       199:{3,5,6}:{(176,1),(177,1),(212,1),(214,1)}
       200:{2,3,6,7}:{(178,1),(179,1),(192,1),(215,1),(217,1)}
       201:{2,4,7}:{(179,1),(180,1),(193,1)}
       202:{2,4,5}:{(180,1),(182,1),(194,1)}
       203:{2,3,5,7}:{(181,1),(182,1),(183,1),(195,1),(216,1),(217,1)}
       204:{1,2,6}:{(183,1),(184,1),(217,1)}
       205:{1,3,6,7}:{(185,1),(186,1),(192,1),(218,1),(220,1)}
       206:{1,4,7}:{(186,1),(187,1),(193,1)}
       207:{1,4,5}:{(187,1),(189,1),(194,1)}
       208:{1,3,5,7}:{(188,1),(189,1),(190,1),(195,1),(219,1),(220,1)}
       209:{1,2,6}:{(190,1),(191,1),(220,1)}
       210:{3,4,6,7}:{(192,1),(193,1),(197,1),(215,1),(218,1),(221,1),(222,1)}
       211:{3,4,5,7}:{(193,1),(194,1),(195,1),(198,1),(216,1),(219,1),(221,1),(222,1)}
       212:{3,6}:{(195,1),(196,1)}
       213:{4,5,7}:{(197,1),(221,1),(223,1)}
       214:{4,6}:{(198,1),(199,1)}
       215:{2,4,6,7}:{(200,1),(201,1),(210,1),(224,1),(225,1)}
       216:{2,4,5,7}:{(201,1),(202,1),(203,1),(211,1),(224,1),(225,1)}
       217:{2,3,6}:{(203,1),(204,1),(212,1),(225,1)}
       218:{1,4,6,7}:{(205,1),(206,1),(210,1),(226,1),(227,1)}
       219:{1,4,5,7}:{(206,1),(207,1),(208,1),(211,1),(226,1),(227,1)}
       220:{1,3,6}:{(208,1),(209,1),(212,1),(227,1)}
       221:{3,5,7}:{(210,1),(213,1),(224,1),(226,1),(228,1)}
       222:{3,4,6}:{(211,1),(212,1),(214,1),(225,1),(227,1),(228,1)}
       223:{4,5,6}:{(213,1),(214,1),(228,1)}
       224:{2,5,7}:{(215,1),(221,1),(229,1)}
       225:{2,4,6}:{(216,1),(217,1),(222,1),(229,1)}
       226:{1,5,7}:{(218,1),(221,1),(230,1)}
       227:{1,4,6}:{(219,1),(220,1),(222,1),(230,1)}
       228:{3,5,6}:{(221,1),(222,1),(223,1),(229,1),(230,1)}
       229:{2,5,6}:{(224,1),(225,1),(228,1)}
       230:{1,5,6}:{(226,1),(227,1),(228,1)}

1675 :  0:{1,3,4,5,7}:{(2,1),(3,1),(12,1),(60,1),(63,1)}
        1:{2,3,4,5,7}:{(2,1),(4,1),(13,1),(60,1),(63,1)}
        2:{1,2,4,5,7}:{(0,1),(1,1),(7,1),(8,1),(22,1),(47,1),(51,1)}
        3:{1,3,4,6}:{(0,1),(8,1),(9,1),(52,1)}
        4:{2,3,4,6}:{(1,1),(8,1),(10,1),(52,1)}
        5:{1,3,4,6,7}:{(3,1),(11,1),(12,1),(31,1),(57,1),(60,1)}
        6:{2,3,4,6,7}:{(4,1),(11,1),(13,1),(32,1),(57,1),(60,1)}
        7:{1,2,3,5,7}:{(2,1),(14,1),(15,1),(37,1)}
        8:{1,2,4,6}:{(2,1),(3,1),(4,1),(15,1),(16,1)}
        9:{1,3,5,6}:{(3,1),(12,1),(16,1),(17,1),(39,1)}
       10:{2,3,5,6}:{(4,1),(13,1),(16,1),(18,1),(39,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(8,1),(21,1),(22,1),(47,1)}
       12:{1,3,5,7}:{(5,1),(9,1),(22,1),(23,1),(48,1)}
       13:{2,3,5,7}:{(6,1),(10,1),(22,1),(24,1),(48,1)}
       14:{1,2,3,4,7}:{(7,1),(25,1),(47,1),(81,1)}
       15:{1,2,3,6}:{(7,1),(8,1)}
       16:{1,2,5,6}:{(8,1),(9,1),(10,1),(22,1)}
       17:{1,4,5,6}:{(9,1),(23,1),(28,1)}
       18:{2,4,5,6}:{(10,1),(24,1),(29,1)}
       19:{1,3,5,6,7}:{(12,1),(30,1),(31,1),(55,1),(57,1)}
       20:{2,3,5,6,7}:{(13,1),(30,1),(32,1),(56,1),(57,1)}
       21:{1,2,3,6,7}:{(11,1),(15,1),(33,1),(57,1),(77,1)}
       22:{1,2,5,7}:{(11,1),(12,1),(13,1),(16,1)}
       23:{1,4,5,7}:{(12,1),(17,1),(31,1),(35,1)}
       24:{2,4,5,7}:{(13,1),(18,1),(32,1),(36,1)}
       25:{1,2,3,4,6}:{(14,1),(15,1),(37,1),(38,1),(80,1),(83,1)}
       26:{1,2,3,5,6}:{(15,1),(16,1),(33,1),(37,1),(38,1),(39,1),(66,1),(80,1)}
       27:{1,2,4,5,6}:{(16,1),(17,1),(18,1),(34,1),(38,1),(39,1),(40,1),(41,1),(66,1)}
       28:{3,4,5,6}:{(17,1),(35,1),(39,1),(40,1)}
       29:{3,4,5,6}:{(18,1),(36,1),(39,1),(41,1)}
       30:{1,2,5,6,7}:{(19,1),(20,1),(22,1),(44,1),(67,1),(68,1)}
       31:{1,4,6,7}:{(19,1),(23,1),(45,1)}
       32:{2,4,6,7}:{(20,1),(24,1),(46,1)}
       33:{1,2,3,5,7}:{(21,1),(22,1),(26,1),(47,1),(48,1),(73,1),(81,1)}
       34:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(27,1),(44,1),(47,1),(48,1),(49,1),(50,1),(73,1)}
       35:{3,4,5,7}:{(23,1),(28,1),(45,1),(48,1),(49,1)}
       36:{3,4,5,7}:{(24,1),(29,1),(46,1),(48,1),(50,1)}
       37:{1,2,3,5}:{(25,1),(51,1)}
       38:{1,2,4,6}:{(26,1),(47,1),(51,1),(52,1)}
       39:{3,5,6}:{(27,1),(48,1),(52,1)}
       40:{2,4,5,6}:{(28,1),(49,1),(54,1)}
       41:{1,4,5,6}:{(29,1),(50,1),(53,1)}
       42:{1,4,5,6,7}:{(31,1),(55,1)}
       43:{2,4,5,6,7}:{(32,1),(56,1)}
       44:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(34,1),(57,1),(58,1),(59,1),(77,1)}
       45:{3,4,6,7}:{(31,1),(35,1),(55,1),(57,1),(58,1)}
       46:{3,4,6,7}:{(32,1),(36,1),(56,1),(57,1),(59,1)}
       47:{1,2,4,7}:{(33,1),(38,1),(60,1)}
       48:{3,5,7}:{(34,1),(39,1),(57,1),(60,1)}
       49:{2,4,5,7}:{(35,1),(40,1),(58,1),(62,1)}
       50:{1,4,5,7}:{(36,1),(41,1),(59,1),(61,1)}
       51:{1,2,4,5}:{(37,1),(38,1),(63,1)}
       52:{3,4,6}:{(38,1),(39,1),(60,1),(63,1)}
       53:{1,3,5,6}:{(39,1),(41,1),(61,1),(64,1),(66,1)}
       54:{2,3,5,6}:{(39,1),(40,1),(62,1),(65,1),(66,1)}
       55:{3,5,6,7}:{(42,1),(45,1),(67,1)}
       56:{3,5,6,7}:{(43,1),(46,1),(68,1)}
       57:{3,6,7}:{(44,1),(48,1)}
       58:{2,4,6,7}:{(45,1),(49,1),(67,1),(70,1)}
       59:{1,4,6,7}:{(46,1),(50,1),(68,1),(69,1)}
       60:{3,4,7}:{(47,1),(48,1),(52,1)}
       61:{1,3,5,7}:{(48,1),(50,1),(53,1),(69,1),(71,1),(73,1)}
       62:{2,3,5,7}:{(48,1),(49,1),(54,1),(70,1),(72,1),(73,1)}
       63:{3,4,5}:{(51,1),(52,1)}
       64:{1,3,4,6}:{(52,1),(53,1),(71,1),(74,1),(76,1)}
       65:{2,3,4,6}:{(52,1),(54,1),(72,1),(75,1),(76,1)}
       66:{1,2,5,6}:{(53,1),(54,1),(73,1),(76,1)}
       67:{2,5,6,7}:{(55,1),(58,1)}
       68:{1,5,6,7}:{(56,1),(59,1)}
       69:{1,3,6,7}:{(57,1),(59,1),(61,1),(77,1)}
       70:{2,3,6,7}:{(57,1),(58,1),(62,1),(77,1)}
       71:{1,3,4,7}:{(60,1),(61,1),(64,1),(78,1)}
       72:{2,3,4,7}:{(60,1),(62,1),(65,1),(78,1)}
       73:{1,2,5,7}:{(61,1),(62,1),(66,1),(77,1),(78,1)}
       74:{1,3,4,5}:{(63,1),(64,1),(79,1)}
       75:{2,3,4,5}:{(63,1),(65,1),(79,1)}
       76:{1,2,4,6}:{(64,1),(65,1),(66,1),(78,1),(79,1),(80,1)}
       77:{1,2,6,7}:{(69,1),(70,1),(73,1)}
       78:{1,2,4,7}:{(71,1),(72,1),(73,1),(76,1),(81,1)}
       79:{1,2,4,5}:{(74,1),(75,1),(76,1),(82,1)}
       80:{1,2,3,6}:{(76,1),(81,1),(82,1)}
       81:{1,2,3,7}:{(78,1),(80,1)}
       82:{1,2,3,5}:{(79,1),(80,1),(83,1)}
       83:{1,2,3,4}:{(82,1)}

1676 :   0:{1,3,4,6,7}:{(2,1),(3,1),(19,1),(25,1),(45,1),(47,1),(55,1),(74,1),(81,1),(98,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(21,1),(27,1),(45,1),(47,1),(56,1),(75,1),(82,1),(98,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(29,1),(30,1),(41,1),(43,1),(72,1),(87,1),(92,1)}
         3:{1,3,5,7}:{(0,1),(8,1),(9,1),(10,1),(31,1),(40,1),(85,1)}
         4:{2,3,5,7}:{(1,1),(8,1),(11,1),(12,1),(31,1),(42,1),(86,1)}
         5:{1,3,5,6,7}:{(9,1),(13,1),(14,1),(39,1),(40,1),(70,1)}
         6:{2,3,5,6,7}:{(11,1),(13,1),(15,1),(39,1),(42,1),(71,1)}
         7:{1,2,3,6,7}:{(2,1),(16,1),(47,1),(55,1),(56,1),(80,1),(96,1),(98,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(4,1),(17,1),(57,1),(58,1),(95,1)}
         9:{1,3,5,6}:{(3,1),(17,1),(19,1),(47,1),(50,1)}
        10:{1,4,5,7}:{(3,1),(19,1),(20,1),(81,1),(93,1)}
        11:{2,3,5,6}:{(4,1),(17,1),(21,1),(47,1),(52,1)}
        12:{2,4,5,7}:{(4,1),(21,1),(22,1),(82,1),(94,1)}
        13:{1,2,5,6,7}:{(5,1),(6,1),(17,1),(23,1),(57,1),(58,1),(83,1)}
        14:{1,4,6,7}:{(5,1),(19,1),(24,1),(25,1),(81,1)}
        15:{2,4,6,7}:{(6,1),(21,1),(26,1),(27,1),(82,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(28,1),(29,1),(31,1),(66,1),(70,1),(71,1),(88,1),(100,1)}
        17:{1,2,5,6}:{(8,1),(9,1),(11,1),(30,1),(67,1),(68,1)}
        18:{1,2,4,5,7}:{(8,1),(10,1),(12,1),(29,1),(30,1),(31,1),(34,1),(37,1),(59,1),(66,1),(92,1),(99,1)}
        19:{1,4,6}:{(9,1),(10,1),(33,1)}
        20:{3,4,5,7}:{(10,1),(31,1),(33,1),(34,1),(40,1),(69,1),(84,1)}
        21:{2,4,6}:{(11,1),(12,1),(36,1)}
        22:{3,4,5,7}:{(12,1),(31,1),(36,1),(37,1),(42,1),(69,1),(84,1)}
        23:{1,2,4,6,7}:{(13,1),(14,1),(15,1),(30,1),(38,1),(39,1),(41,1),(43,1),(72,1),(92,1)}
        24:{1,4,5,7}:{(14,1),(32,1),(40,1)}
        25:{3,4,6,7}:{(14,1),(33,1),(39,1),(40,1),(41,1),(69,1)}
        26:{2,4,5,7}:{(15,1),(35,1),(42,1)}
        27:{3,4,6,7}:{(15,1),(36,1),(39,1),(42,1),(43,1),(69,1)}
        28:{1,2,3,5,6}:{(16,1),(17,1),(44,1),(47,1),(73,1),(78,1),(79,1),(80,1),(95,1),(96,1)}
        29:{1,2,4,7}:{(16,1),(44,1),(45,1),(81,1),(82,1),(103,1)}
        30:{1,2,4,6}:{(17,1),(18,1),(19,1),(21,1),(47,1),(51,1),(53,1),(80,1)}
        31:{3,5,7}:{(18,1),(45,1),(47,1),(73,1),(98,1),(102,1)}
        32:{1,4,5,6}:{(19,1),(24,1),(50,1)}
        33:{3,4,6}:{(19,1),(20,1),(47,1),(50,1),(51,1)}
        34:{2,4,5,7}:{(20,1),(49,1),(51,1),(57,1),(82,1),(94,1)}
        35:{2,4,5,6}:{(21,1),(26,1),(52,1)}
        36:{3,4,6}:{(21,1),(22,1),(47,1),(52,1),(53,1)}
        37:{1,4,5,7}:{(22,1),(48,1),(53,1),(58,1),(81,1),(93,1)}
        38:{1,2,4,5,7}:{(23,1),(24,1),(26,1),(46,1),(54,1),(57,1),(58,1),(81,1),(82,1),(83,1)}
        39:{3,6,7}:{(23,1),(47,1),(54,1),(98,1)}
        40:{3,5,7}:{(24,1),(25,1),(50,1),(57,1)}
        41:{2,4,6,7}:{(25,1),(51,1),(56,1),(57,1),(82,1)}
        42:{3,5,7}:{(26,1),(27,1),(52,1),(58,1)}
        43:{1,4,6,7}:{(27,1),(53,1),(55,1),(58,1),(81,1)}
        44:{1,2,4,6}:{(28,1),(29,1),(59,1),(60,1),(89,1),(90,1)}
        45:{3,4,7}:{(29,1),(31,1),(60,1),(104,1)}
        46:{1,2,4,5,6}:{(30,1),(32,1),(35,1),(38,1),(59,1),(63,1),(67,1),(68,1),(89,1),(90,1),(91,1)}
        47:{3,6}:{(30,1),(31,1)}
        48:{1,3,5,7}:{(31,1),(37,1),(61,1),(64,1),(66,1),(85,1)}
        49:{2,3,5,7}:{(31,1),(34,1),(62,1),(65,1),(66,1),(86,1)}
        50:{3,5,6}:{(32,1),(33,1),(40,1),(67,1)}
        51:{2,4,6}:{(33,1),(34,1),(65,1),(67,1)}
        52:{3,5,6}:{(35,1),(36,1),(42,1),(68,1)}
        53:{1,4,6}:{(36,1),(37,1),(64,1),(68,1)}
        54:{3,5,7}:{(38,1),(39,1),(63,1),(69,1)}
        55:{1,3,6,7}:{(39,1),(43,1),(64,1),(70,1),(72,1)}
        56:{2,3,6,7}:{(39,1),(41,1),(65,1),(71,1),(72,1)}
        57:{2,5,7}:{(40,1),(41,1),(67,1)}
        58:{1,5,7}:{(42,1),(43,1),(68,1)}
        59:{1,2,4,5}:{(44,1),(73,1),(93,1),(94,1),(95,1)}
        60:{3,4,6}:{(44,1),(45,1),(47,1),(73,1)}
        61:{1,3,4,7}:{(45,1),(48,1),(74,1),(76,1),(81,1),(98,1)}
        62:{2,3,4,7}:{(45,1),(49,1),(75,1),(76,1),(82,1),(98,1)}
        63:{3,5,6}:{(46,1),(47,1),(54,1),(73,1),(77,1)}
        64:{1,3,6}:{(47,1),(48,1),(53,1),(80,1)}
        65:{2,3,6}:{(47,1),(49,1),(51,1),(80,1)}
        66:{1,2,5,7}:{(48,1),(49,1),(76,1),(80,1),(95,1)}
        67:{2,5,6}:{(50,1),(51,1),(57,1)}
        68:{1,5,6}:{(52,1),(53,1),(58,1)}
        69:{3,4,7}:{(54,1),(77,1),(81,1),(82,1),(98,1)}
        70:{1,3,5,7}:{(54,1),(55,1),(58,1),(78,1),(81,1),(83,1),(98,1)}
        71:{2,3,5,7}:{(54,1),(56,1),(57,1),(79,1),(82,1),(83,1),(98,1)}
        72:{1,2,6,7}:{(55,1),(56,1),(80,1),(83,1)}
        73:{3,5}:{(59,1),(60,1)}
        74:{1,3,4,6}:{(60,1),(61,1),(64,1),(85,1),(87,1),(89,1),(101,1),(104,1)}
        75:{2,3,4,6}:{(60,1),(62,1),(65,1),(86,1),(87,1),(90,1),(101,1),(104,1)}
        76:{1,2,4,7}:{(61,1),(62,1),(66,1),(87,1),(88,1)}
        77:{3,4,6}:{(63,1),(69,1),(84,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,6}:{(63,1),(64,1),(68,1),(70,1),(85,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,6}:{(63,1),(65,1),(67,1),(71,1),(86,1),(90,1),(91,1),(101,1)}
        80:{1,2,6}:{(64,1),(65,1),(66,1)}
        81:{1,4,7}:{(69,1),(70,1),(89,1)}
        82:{2,4,7}:{(69,1),(71,1),(90,1)}
        83:{1,2,5,7}:{(70,1),(71,1),(72,1),(91,1),(92,1)}
        84:{3,4,5}:{(73,1),(77,1),(93,1),(94,1),(102,1)}
        85:{1,3,5}:{(73,1),(74,1),(93,1),(95,1),(102,1)}
        86:{2,3,5}:{(73,1),(75,1),(94,1),(95,1),(102,1)}
        87:{1,2,4,6}:{(74,1),(75,1),(76,1),(80,1),(95,1),(96,1),(103,1)}
        88:{1,2,3,7}:{(76,1),(96,1),(98,1)}
        89:{1,4,6}:{(77,1),(78,1),(81,1),(93,1)}
        90:{2,4,6}:{(77,1),(79,1),(82,1),(94,1)}
        91:{1,2,5,6}:{(78,1),(79,1),(80,1),(83,1),(95,1),(97,1)}
        92:{1,2,4,7}:{(81,1),(82,1),(83,1),(97,1),(98,1)}
        93:{1,4,5}:{(84,1),(85,1),(89,1)}
        94:{2,4,5}:{(84,1),(86,1),(90,1)}
        95:{1,2,5}:{(85,1),(86,1),(87,1)}
        96:{1,2,3,6}:{(87,1),(88,1),(100,1),(101,1)}
        97:{1,2,4,6}:{(89,1),(90,1),(91,1),(92,1),(99,1),(101,1)}
        98:{3,7}:{(92,1),(101,1)}
        99:{1,2,4,5}:{(93,1),(94,1),(95,1),(97,1),(102,1),(103,1)}
       100:{1,2,3,5}:{(95,1),(96,1),(102,1),(103,1)}
       101:{3,6}:{(97,1),(98,1),(102,1)}
       102:{3,5}:{(99,1),(101,1),(104,1)}
       103:{1,2,4}:{(100,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1677 :  0:{2,3,4,5,7}:{(3,1),(4,1),(17,1),(34,1),(58,1)}
        1:{1,3,4,5,7}:{(3,1),(5,1),(19,1),(34,1),(58,1)}
        2:{1,2,3,4,7}:{(6,1),(7,1),(44,1),(83,1)}
        3:{1,2,4,5,7}:{(0,1),(1,1),(6,1),(8,1),(23,1),(24,1),(44,1)}
        4:{2,3,4,6}:{(0,1),(8,1),(10,1),(45,1)}
        5:{1,3,4,6}:{(1,1),(8,1),(12,1),(45,1)}
        6:{1,2,3,5,7}:{(2,1),(3,1),(13,1),(14,1)}
        7:{1,2,3,4,6}:{(2,1),(13,1),(14,1),(33,1),(80,1),(81,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(5,1),(13,1),(16,1)}
        9:{2,3,4,6,7}:{(4,1),(15,1),(17,1),(38,1),(58,1),(62,1)}
       10:{2,3,5,6}:{(4,1),(16,1),(17,1),(18,1),(37,1)}
       11:{1,3,4,6,7}:{(5,1),(15,1),(19,1),(41,1),(58,1),(62,1)}
       12:{1,3,5,6}:{(5,1),(16,1),(19,1),(20,1),(37,1)}
       13:{1,2,3,6}:{(6,1),(8,1)}
       14:{1,2,3,5}:{(7,1),(23,1)}
       15:{1,2,4,6,7}:{(8,1),(9,1),(11,1),(21,1),(24,1),(44,1)}
       16:{1,2,5,6}:{(8,1),(10,1),(12,1),(24,1)}
       17:{2,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(49,1)}
       18:{2,4,5,6}:{(10,1),(27,1),(28,1)}
       19:{1,3,5,7}:{(11,1),(12,1),(24,1),(30,1),(49,1)}
       20:{1,4,5,6}:{(12,1),(30,1),(31,1)}
       21:{1,2,3,6,7}:{(13,1),(15,1),(32,1),(62,1),(82,1)}
       22:{1,2,3,5,6}:{(13,1),(14,1),(16,1),(32,1),(33,1),(37,1),(65,1),(80,1)}
       23:{1,2,4,5}:{(14,1),(33,1),(34,1)}
       24:{1,2,5,7}:{(15,1),(16,1),(17,1),(19,1)}
       25:{1,2,4,5,6}:{(16,1),(18,1),(20,1),(33,1),(36,1),(37,1),(40,1),(43,1),(65,1)}
       26:{2,3,5,6,7}:{(17,1),(35,1),(38,1),(62,1),(66,1)}
       27:{2,4,5,7}:{(17,1),(18,1),(38,1),(39,1)}
       28:{3,4,5,6}:{(18,1),(37,1),(39,1),(40,1)}
       29:{1,3,5,6,7}:{(19,1),(35,1),(41,1),(62,1),(68,1)}
       30:{1,4,5,7}:{(19,1),(20,1),(41,1),(42,1)}
       31:{3,4,5,6}:{(20,1),(37,1),(42,1),(43,1)}
       32:{1,2,3,5,7}:{(21,1),(22,1),(24,1),(44,1),(49,1),(76,1),(83,1)}
       33:{1,2,4,6}:{(22,1),(23,1),(44,1),(45,1)}
       34:{3,4,5}:{(23,1),(45,1)}
       35:{1,2,5,6,7}:{(24,1),(26,1),(29,1),(48,1),(77,1),(78,1)}
       36:{1,2,4,5,7}:{(24,1),(25,1),(27,1),(30,1),(44,1),(48,1),(49,1),(54,1),(57,1),(76,1)}
       37:{3,5,6}:{(25,1),(45,1),(49,1)}
       38:{2,4,6,7}:{(26,1),(27,1),(53,1)}
       39:{3,4,5,7}:{(27,1),(28,1),(49,1),(53,1),(54,1)}
       40:{1,4,5,6}:{(28,1),(50,1),(54,1)}
       41:{1,4,6,7}:{(29,1),(30,1),(56,1)}
       42:{3,4,5,7}:{(30,1),(31,1),(49,1),(56,1),(57,1)}
       43:{2,4,5,6}:{(31,1),(51,1),(57,1)}
       44:{1,2,4,7}:{(32,1),(33,1),(58,1)}
       45:{3,4,6}:{(33,1),(34,1),(37,1),(58,1)}
       46:{1,3,4,5}:{(34,1),(59,1),(61,1)}
       47:{2,3,4,5}:{(34,1),(60,1),(61,1)}
       48:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(41,1),(62,1),(67,1),(69,1),(82,1)}
       49:{3,5,7}:{(36,1),(37,1),(58,1),(62,1)}
       50:{1,3,5,6}:{(37,1),(40,1),(59,1),(63,1),(65,1)}
       51:{2,3,5,6}:{(37,1),(43,1),(60,1),(64,1),(65,1)}
       52:{2,4,5,6,7}:{(38,1),(66,1)}
       53:{3,4,6,7}:{(38,1),(39,1),(62,1),(66,1),(67,1)}
       54:{1,4,5,7}:{(39,1),(40,1),(63,1),(67,1)}
       55:{1,4,5,6,7}:{(41,1),(68,1)}
       56:{3,4,6,7}:{(41,1),(42,1),(62,1),(68,1),(69,1)}
       57:{2,4,5,7}:{(42,1),(43,1),(64,1),(69,1)}
       58:{3,4,7}:{(44,1),(45,1),(49,1)}
       59:{1,3,4,6}:{(45,1),(46,1),(50,1),(70,1),(72,1)}
       60:{2,3,4,6}:{(45,1),(47,1),(51,1),(71,1),(72,1)}
       61:{1,2,4,5}:{(46,1),(47,1),(72,1),(73,1)}
       62:{3,6,7}:{(48,1),(49,1)}
       63:{1,3,5,7}:{(49,1),(50,1),(54,1),(70,1),(74,1),(76,1)}
       64:{2,3,5,7}:{(49,1),(51,1),(57,1),(71,1),(75,1),(76,1)}
       65:{1,2,5,6}:{(50,1),(51,1),(72,1),(76,1)}
       66:{3,5,6,7}:{(52,1),(53,1),(77,1)}
       67:{1,4,6,7}:{(53,1),(54,1),(74,1),(77,1)}
       68:{3,5,6,7}:{(55,1),(56,1),(78,1)}
       69:{2,4,6,7}:{(56,1),(57,1),(75,1),(78,1)}
       70:{1,3,4,7}:{(58,1),(59,1),(63,1),(79,1)}
       71:{2,3,4,7}:{(58,1),(60,1),(64,1),(79,1)}
       72:{1,2,4,6}:{(59,1),(60,1),(61,1),(65,1),(79,1),(80,1)}
       73:{1,2,3,5}:{(61,1),(80,1),(81,1)}
       74:{1,3,6,7}:{(62,1),(63,1),(67,1),(82,1)}
       75:{2,3,6,7}:{(62,1),(64,1),(69,1),(82,1)}
       76:{1,2,5,7}:{(63,1),(64,1),(65,1),(79,1),(82,1)}
       77:{1,5,6,7}:{(66,1),(67,1)}
       78:{2,5,6,7}:{(68,1),(69,1)}
       79:{1,2,4,7}:{(70,1),(71,1),(72,1),(76,1),(83,1)}
       80:{1,2,3,6}:{(72,1),(73,1),(83,1)}
       81:{1,2,3,4}:{(73,1)}
       82:{1,2,6,7}:{(74,1),(75,1),(76,1)}
       83:{1,2,3,7}:{(79,1),(80,1)}

1678 :   0:{1,3,4,5,6}:{(1,1),(2,1),(18,1),(57,1),(63,1)}
         1:{1,2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(49,1),(52,1)}
         2:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(28,1),(48,1),(53,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(40,1),(43,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(44,1)}
         6:{1,2,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(47,1),(49,1)}
         7:{2,3,4,6}:{(3,1),(11,1),(13,1),(14,1)}
         8:{2,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,2,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(34,1)}
        10:{1,3,5,6,7}:{(5,1),(16,1),(17,1),(35,1),(48,1)}
        11:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
        12:{1,2,3,5,7}:{(6,1),(8,1),(20,1),(21,1),(37,1),(40,1)}
        13:{2,3,4,5}:{(7,1),(19,1)}
        14:{2,3,4,7}:{(7,1),(8,1),(20,1)}
        15:{2,3,6,7}:{(8,1),(9,1)}
        16:{1,2,5,6,7}:{(9,1),(10,1),(24,1),(40,1)}
        17:{1,4,5,6,7}:{(10,1),(26,1),(58,1)}
        18:{1,3,4,6}:{(11,1),(27,1),(28,1),(47,1)}
        19:{1,2,4,5}:{(11,1),(13,1),(27,1)}
        20:{1,2,4,7}:{(11,1),(12,1),(14,1),(28,1)}
        21:{1,2,3,6,7}:{(12,1),(15,1),(30,1),(47,1)}
        22:{2,3,4,5,7}:{(13,1),(14,1),(29,1),(32,1),(33,1),(68,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1),(51,1)}
        24:{2,3,5,6,7}:{(15,1),(16,1),(33,1),(34,1),(35,1)}
        25:{1,2,4,5,6,7}:{(16,1),(17,1),(34,1),(35,1),(36,1),(50,1),(54,1),(56,1)}
        26:{3,4,5,6,7}:{(17,1),(35,1),(36,1),(68,1)}
        27:{1,3,5}:{(18,1),(19,1)}
        28:{1,3,4,7}:{(18,1),(20,1),(37,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(39,1),(40,1),(58,1)}
        30:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(39,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(24,1),(40,1),(41,1),(45,1),(57,1),(60,1),(81,1),(82,1),(83,1)}
        32:{2,3,4,6}:{(22,1),(39,1),(42,1),(77,1)}
        33:{2,3,5,7}:{(23,1),(40,1),(42,1),(43,1),(60,1)}
        34:{2,4,6,7}:{(24,1),(43,1),(44,1)}
        35:{3,5,6,7}:{(25,1),(44,1),(60,1)}
        36:{2,4,5,6,7}:{(26,1),(46,1),(79,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(47,1)}
        38:{1,3,4,6,7}:{(28,1),(30,1),(47,1),(48,1),(51,1),(67,1)}
        39:{1,2,4,6}:{(29,1),(32,1),(47,1),(49,1),(67,1)}
        40:{1,2,5,7}:{(30,1),(33,1),(48,1),(49,1)}
        41:{1,2,4,6,7}:{(31,1),(34,1),(50,1),(51,1),(54,1),(67,1),(87,1)}
        42:{2,3,5,6}:{(32,1),(33,1),(49,1),(52,1),(69,1)}
        43:{2,4,5,7}:{(33,1),(34,1),(52,1),(53,1)}
        44:{3,4,6,7}:{(34,1),(35,1),(53,1),(54,1)}
        45:{1,3,5,6,7}:{(35,1),(54,1),(56,1),(70,1),(76,1)}
        46:{2,3,5,6,7}:{(35,1),(36,1),(55,1),(56,1),(71,1)}
        47:{1,3,6}:{(37,1),(39,1)}
        48:{1,3,5,7}:{(38,1),(40,1),(57,1),(58,1),(60,1)}
        49:{1,2,5,6}:{(39,1),(40,1),(42,1),(57,1)}
        50:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(58,1),(59,1),(60,1),(64,1),(79,1),(82,1)}
        51:{3,4,6,7}:{(41,1),(60,1),(77,1)}
        52:{2,4,5,6}:{(42,1),(43,1),(63,1)}
        53:{3,4,5,7}:{(43,1),(44,1),(60,1),(63,1),(64,1)}
        54:{1,4,6,7}:{(44,1),(45,1),(64,1)}
        55:{2,3,4,6,7}:{(44,1),(46,1),(65,1),(66,1)}
        56:{1,2,5,6,7}:{(45,1),(46,1),(66,1),(82,1)}
        57:{1,3,5,6}:{(47,1),(48,1),(49,1),(67,1),(69,1)}
        58:{1,4,5,7}:{(48,1),(67,1),(68,1)}
        59:{1,2,4,5,6}:{(49,1),(50,1),(52,1),(67,1),(69,1),(73,1),(87,1),(89,1)}
        60:{3,5,7}:{(50,1),(51,1),(69,1)}
        61:{1,3,4,6,7}:{(51,1),(54,1),(70,1),(72,1),(76,1),(86,1),(92,1)}
        62:{2,3,4,6,7}:{(51,1),(71,1),(72,1),(87,1),(98,1),(99,1)}
        63:{3,4,5,6}:{(52,1),(53,1),(69,1),(73,1)}
        64:{1,4,5,7}:{(53,1),(54,1),(70,1),(73,1)}
        65:{2,3,4,5,7}:{(53,1),(55,1),(71,1),(74,1),(75,1),(99,1)}
        66:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(75,1),(76,1)}
        67:{1,4,6}:{(57,1),(58,1),(77,1)}
        68:{3,4,5,7}:{(58,1),(60,1),(77,1),(79,1)}
        69:{3,5,6}:{(59,1),(60,1),(77,1)}
        70:{1,3,5,7}:{(60,1),(61,1),(64,1),(80,1),(82,1)}
        71:{2,3,5,7}:{(60,1),(62,1),(79,1),(81,1),(82,1)}
        72:{1,2,4,6,7}:{(61,1),(62,1),(82,1),(83,1),(93,1),(96,1)}
        73:{1,4,5,6}:{(63,1),(64,1),(80,1)}
        74:{2,3,4,5,6}:{(63,1),(65,1),(81,1),(84,1),(102,1)}
        75:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(82,1),(84,1),(85,1),(96,1)}
        76:{1,3,6,7}:{(66,1),(85,1)}
        77:{3,4,6}:{(67,1),(68,1),(69,1),(87,1)}
        78:{1,3,4,5,7}:{(68,1),(70,1),(86,1),(88,1),(92,1),(101,1)}
        79:{2,4,5,7}:{(68,1),(71,1),(87,1)}
        80:{1,3,5,6}:{(69,1),(70,1),(73,1),(86,1),(89,1)}
        81:{2,3,5,6}:{(69,1),(71,1),(87,1),(89,1),(98,1)}
        82:{1,2,5,7}:{(70,1),(71,1),(72,1),(89,1)}
        83:{1,2,3,6,7}:{(72,1),(76,1),(90,1),(98,1)}
        84:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(89,1),(91,1),(100,1)}
        85:{1,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,3,4,6}:{(77,1),(78,1),(80,1),(93,1)}
        87:{2,4,6}:{(77,1),(79,1),(81,1)}
        88:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(93,1),(94,1),(96,1),(103,1)}
        89:{1,2,5,6}:{(80,1),(81,1),(82,1),(93,1)}
        90:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(94,1),(95,1),(96,1)}
        91:{1,3,5,6}:{(84,1),(85,1),(97,1)}
        92:{1,3,4,7}:{(85,1),(96,1),(97,1)}
        93:{1,2,4,6}:{(86,1),(87,1),(88,1),(89,1),(98,1)}
        94:{2,3,5,7}:{(88,1),(98,1),(99,1),(104,1)}
        95:{1,2,3,5,6}:{(89,1),(90,1),(91,1),(98,1),(100,1),(104,1)}
        96:{1,2,4,7}:{(90,1),(92,1),(99,1),(100,1)}
        97:{1,3,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{2,3,6}:{(93,1),(94,1)}
        99:{2,3,4,7}:{(94,1),(96,1),(102,1)}
       100:{1,2,4,6}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{1,3,4,5}:{(97,1),(103,1)}
       102:{2,3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       103:{1,2,4,5}:{(100,1),(101,1),(104,1)}
       104:{2,3,5}:{(102,1),(103,1)}

1679 :   0:{2,3,4,5}:{(3,1),(4,1),(34,1)}
         1:{1,3,4,5}:{(3,1),(5,1),(34,1)}
         2:{1,2,3,4}:{(7,1)}
         3:{1,2,4,5}:{(0,1),(1,1),(7,1),(8,1)}
         4:{2,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(50,1)}
         5:{1,3,4,6}:{(1,1),(8,1),(11,1),(12,1),(50,1)}
         6:{1,2,3,4,6}:{(2,1),(13,1),(14,1),(15,1),(35,1),(38,1),(65,1),(97,1)}
         7:{1,2,3,5}:{(2,1),(3,1),(15,1)}
         8:{1,2,4,6}:{(3,1),(4,1),(5,1),(15,1),(16,1),(17,1)}
         9:{2,3,5,6}:{(4,1),(16,1),(18,1),(19,1),(39,1)}
        10:{2,3,4,7}:{(4,1),(17,1),(19,1),(69,1)}
        11:{1,3,5,6}:{(5,1),(16,1),(20,1),(21,1),(39,1)}
        12:{1,3,4,7}:{(5,1),(17,1),(21,1),(69,1)}
        13:{1,2,3,5}:{(6,1),(22,1)}
        14:{1,2,3,4,7}:{(6,1),(24,1),(25,1),(52,1),(103,1)}
        15:{1,2,3,6}:{(7,1),(8,1),(25,1)}
        16:{1,2,5,6}:{(8,1),(9,1),(11,1),(27,1)}
        17:{1,2,4,7}:{(8,1),(10,1),(12,1),(25,1),(27,1)}
        18:{2,4,5,6}:{(9,1),(28,1),(29,1)}
        19:{2,3,5,7}:{(9,1),(10,1),(27,1),(29,1),(30,1),(57,1)}
        20:{1,4,5,6}:{(11,1),(31,1),(32,1)}
        21:{1,3,5,7}:{(11,1),(12,1),(27,1),(32,1),(33,1),(57,1)}
        22:{1,2,4,5}:{(13,1),(34,1),(35,1)}
        23:{1,2,3,5,6}:{(13,1),(15,1),(16,1),(35,1),(37,1),(38,1),(39,1),(72,1),(73,1),(97,1)}
        24:{1,2,3,5,7}:{(13,1),(14,1),(36,1),(38,1)}
        25:{1,2,3,7}:{(15,1),(17,1)}
        26:{1,2,4,5,6}:{(16,1),(18,1),(20,1),(35,1),(39,1),(40,1),(42,1),(45,1),(72,1),(73,1),(100,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(19,1),(21,1),(41,1)}
        28:{3,4,5,6}:{(18,1),(39,1),(42,1),(43,1),(100,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(43,1),(44,1)}
        30:{2,3,6,7}:{(19,1),(41,1),(44,1),(76,1)}
        31:{3,4,5,6}:{(20,1),(39,1),(45,1),(46,1),(100,1)}
        32:{1,4,5,7}:{(20,1),(21,1),(46,1),(47,1)}
        33:{1,3,6,7}:{(21,1),(41,1),(47,1),(76,1)}
        34:{3,4,5}:{(22,1),(50,1)}
        35:{1,2,4,6}:{(22,1),(23,1),(50,1),(52,1)}
        36:{1,2,4,5,7}:{(22,1),(24,1),(51,1),(52,1),(53,1),(88,1)}
        37:{1,2,3,5,7}:{(23,1),(25,1),(27,1),(52,1),(54,1),(57,1),(88,1),(89,1),(103,1)}
        38:{1,2,3,6}:{(24,1),(53,1)}
        39:{3,5,6}:{(26,1),(50,1),(57,1)}
        40:{1,2,4,5,7}:{(26,1),(27,1),(29,1),(32,1),(52,1),(57,1),(58,1),(59,1),(62,1),(88,1),(89,1),(104,1)}
        41:{1,2,6,7}:{(27,1),(30,1),(33,1)}
        42:{1,4,5,6}:{(28,1),(56,1),(59,1)}
        43:{3,4,5,7}:{(28,1),(29,1),(57,1),(59,1),(60,1),(104,1)}
        44:{2,4,6,7}:{(29,1),(30,1),(60,1),(61,1)}
        45:{2,4,5,6}:{(31,1),(55,1),(62,1)}
        46:{3,4,5,7}:{(31,1),(32,1),(57,1),(62,1),(63,1),(104,1)}
        47:{1,4,6,7}:{(32,1),(33,1),(63,1),(64,1)}
        48:{2,3,4,5}:{(34,1),(66,1),(67,1)}
        49:{1,3,4,5}:{(34,1),(66,1),(68,1)}
        50:{3,4,6}:{(34,1),(35,1),(39,1),(69,1)}
        51:{3,4,5,7}:{(34,1),(36,1),(69,1),(70,1),(99,1)}
        52:{1,2,4,7}:{(35,1),(37,1),(69,1)}
        53:{1,2,4,6}:{(36,1),(38,1),(70,1),(72,1)}
        54:{1,2,3,6,7}:{(37,1),(38,1),(41,1),(71,1),(76,1),(101,1)}
        55:{2,3,5,6}:{(39,1),(45,1),(67,1),(73,1),(74,1)}
        56:{1,3,5,6}:{(39,1),(42,1),(68,1),(73,1),(75,1)}
        57:{3,5,7}:{(39,1),(40,1),(69,1),(76,1)}
        58:{1,2,4,6,7}:{(40,1),(41,1),(44,1),(47,1),(76,1),(77,1),(78,1),(80,1),(101,1),(102,1)}
        59:{1,4,5,7}:{(42,1),(43,1),(75,1),(78,1)}
        60:{3,4,6,7}:{(43,1),(44,1),(76,1),(78,1),(79,1),(102,1)}
        61:{2,5,6,7}:{(44,1),(79,1)}
        62:{2,4,5,7}:{(45,1),(46,1),(74,1),(80,1)}
        63:{3,4,6,7}:{(46,1),(47,1),(76,1),(80,1),(81,1),(102,1)}
        64:{1,5,6,7}:{(47,1),(81,1)}
        65:{1,2,3,4}:{(82,1)}
        66:{1,2,4,5}:{(48,1),(49,1),(82,1),(83,1)}
        67:{2,3,4,6}:{(48,1),(50,1),(55,1),(83,1),(84,1)}
        68:{1,3,4,6}:{(49,1),(50,1),(56,1),(83,1),(85,1)}
        69:{3,4,7}:{(50,1),(52,1),(57,1)}
        70:{3,4,6}:{(51,1),(53,1),(87,1)}
        71:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(86,1),(88,1)}
        72:{1,2,5,6}:{(53,1),(87,1),(88,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(83,1),(89,1)}
        74:{2,3,5,7}:{(55,1),(57,1),(62,1),(84,1),(89,1),(90,1)}
        75:{1,3,5,7}:{(56,1),(57,1),(59,1),(85,1),(89,1),(91,1)}
        76:{3,6,7}:{(57,1),(58,1)}
        77:{1,2,5,6,7}:{(58,1),(61,1),(64,1),(88,1),(92,1),(93,1),(95,1)}
        78:{1,4,6,7}:{(59,1),(60,1),(91,1),(93,1)}
        79:{3,5,6,7}:{(60,1),(61,1),(93,1),(94,1)}
        80:{2,4,6,7}:{(62,1),(63,1),(90,1),(95,1)}
        81:{3,5,6,7}:{(63,1),(64,1),(95,1),(96,1)}
        82:{1,2,3,5}:{(65,1),(66,1),(97,1)}
        83:{1,2,4,6}:{(66,1),(67,1),(68,1),(73,1),(97,1),(98,1)}
        84:{2,3,4,7}:{(67,1),(69,1),(74,1),(98,1)}
        85:{1,3,4,7}:{(68,1),(69,1),(75,1),(98,1)}
        86:{3,4,6,7}:{(69,1),(70,1),(71,1),(76,1),(99,1),(102,1)}
        87:{3,5,6}:{(70,1),(72,1),(99,1),(100,1)}
        88:{1,2,5,7}:{(71,1),(72,1),(99,1)}
        89:{1,2,5,7}:{(73,1),(74,1),(75,1),(98,1),(101,1)}
        90:{2,3,6,7}:{(74,1),(76,1),(80,1),(101,1)}
        91:{1,3,6,7}:{(75,1),(76,1),(78,1),(101,1)}
        92:{3,5,6,7}:{(76,1),(77,1),(99,1),(102,1)}
        93:{1,5,6,7}:{(78,1),(79,1)}
        94:{4,5,6,7}:{(79,1),(102,1)}
        95:{2,5,6,7}:{(80,1),(81,1)}
        96:{4,5,6,7}:{(81,1),(102,1)}
        97:{1,2,3,6}:{(82,1),(83,1),(103,1)}
        98:{1,2,4,7}:{(83,1),(84,1),(85,1),(89,1),(103,1)}
        99:{3,5,7}:{(86,1),(87,1),(88,1),(104,1)}
       100:{4,5,6}:{(87,1),(104,1)}
       101:{1,2,6,7}:{(89,1),(90,1),(91,1)}
       102:{4,6,7}:{(92,1),(104,1)}
       103:{1,2,3,7}:{(97,1),(98,1)}
       104:{4,5,7}:{(99,1),(100,1),(102,1)}

1680 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(57,1),(63,1)}
         1:{1,2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(49,1),(52,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(28,1),(48,1),(53,1)}
         3:{1,3,5,6}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(40,1),(43,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(44,1)}
         6:{1,2,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(47,1),(49,1)}
         7:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,2,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(34,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(35,1),(48,1)}
        11:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
        12:{1,2,3,5,7}:{(6,1),(8,1),(20,1),(21,1),(37,1),(40,1)}
        13:{1,3,4,5}:{(7,1),(19,1)}
        14:{1,3,4,7}:{(7,1),(8,1),(20,1)}
        15:{1,3,6,7}:{(8,1),(9,1)}
        16:{1,2,5,6,7}:{(9,1),(10,1),(24,1),(40,1)}
        17:{2,4,5,6,7}:{(10,1),(26,1),(58,1)}
        18:{2,3,4,6}:{(11,1),(27,1),(28,1),(47,1)}
        19:{1,2,4,5}:{(11,1),(13,1),(27,1)}
        20:{1,2,4,7}:{(11,1),(12,1),(14,1),(28,1)}
        21:{1,2,3,6,7}:{(12,1),(15,1),(30,1),(47,1)}
        22:{1,3,4,5,7}:{(13,1),(14,1),(29,1),(32,1),(33,1),(68,1)}
        23:{1,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1),(51,1)}
        24:{1,3,5,6,7}:{(15,1),(16,1),(33,1),(34,1),(35,1)}
        25:{1,2,4,5,6,7}:{(16,1),(17,1),(34,1),(35,1),(36,1),(50,1),(55,1),(56,1)}
        26:{3,4,5,6,7}:{(17,1),(35,1),(36,1),(68,1)}
        27:{2,3,5}:{(18,1),(19,1)}
        28:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(39,1),(40,1),(58,1)}
        30:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(39,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(24,1),(40,1),(41,1),(46,1),(57,1),(60,1),(80,1),(82,1),(83,1)}
        32:{1,3,4,6}:{(22,1),(39,1),(42,1),(77,1)}
        33:{1,3,5,7}:{(23,1),(40,1),(42,1),(43,1),(60,1)}
        34:{1,4,6,7}:{(24,1),(43,1),(44,1)}
        35:{3,5,6,7}:{(25,1),(44,1),(60,1)}
        36:{1,4,5,6,7}:{(26,1),(45,1),(78,1)}
        37:{2,3,5,7}:{(27,1),(28,1),(29,1),(47,1)}
        38:{2,3,4,6,7}:{(28,1),(30,1),(47,1),(48,1),(51,1),(67,1)}
        39:{1,2,4,6}:{(29,1),(32,1),(47,1),(49,1),(67,1)}
        40:{1,2,5,7}:{(30,1),(33,1),(48,1),(49,1)}
        41:{1,2,4,6,7}:{(31,1),(34,1),(50,1),(51,1),(55,1),(67,1),(86,1)}
        42:{1,3,5,6}:{(32,1),(33,1),(49,1),(52,1),(69,1)}
        43:{1,4,5,7}:{(33,1),(34,1),(52,1),(53,1)}
        44:{3,4,6,7}:{(34,1),(35,1),(53,1),(55,1)}
        45:{1,3,5,6,7}:{(35,1),(36,1),(54,1),(56,1),(70,1)}
        46:{2,3,5,6,7}:{(35,1),(55,1),(56,1),(71,1),(76,1)}
        47:{2,3,6}:{(37,1),(39,1)}
        48:{2,3,5,7}:{(38,1),(40,1),(57,1),(58,1),(60,1)}
        49:{1,2,5,6}:{(39,1),(40,1),(42,1),(57,1)}
        50:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(58,1),(59,1),(60,1),(65,1),(78,1),(82,1)}
        51:{3,4,6,7}:{(41,1),(60,1),(77,1)}
        52:{1,4,5,6}:{(42,1),(43,1),(63,1)}
        53:{3,4,5,7}:{(43,1),(44,1),(60,1),(63,1),(65,1)}
        54:{1,3,4,6,7}:{(44,1),(45,1),(64,1),(66,1)}
        55:{2,4,6,7}:{(44,1),(46,1),(65,1)}
        56:{1,2,5,6,7}:{(45,1),(46,1),(66,1),(82,1)}
        57:{2,3,5,6}:{(47,1),(48,1),(49,1),(67,1),(69,1)}
        58:{2,4,5,7}:{(48,1),(67,1),(68,1)}
        59:{1,2,4,5,6}:{(49,1),(50,1),(52,1),(67,1),(69,1),(74,1),(86,1),(89,1)}
        60:{3,5,7}:{(50,1),(51,1),(69,1)}
        61:{1,3,4,6,7}:{(51,1),(70,1),(72,1),(86,1),(98,1),(99,1)}
        62:{2,3,4,6,7}:{(51,1),(55,1),(71,1),(72,1),(76,1),(87,1),(92,1)}
        63:{3,4,5,6}:{(52,1),(53,1),(69,1),(74,1)}
        64:{1,3,4,5,7}:{(53,1),(54,1),(70,1),(73,1),(75,1),(99,1)}
        65:{2,4,5,7}:{(53,1),(55,1),(71,1),(74,1)}
        66:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(75,1),(76,1)}
        67:{2,4,6}:{(57,1),(58,1),(77,1)}
        68:{3,4,5,7}:{(58,1),(60,1),(77,1),(78,1)}
        69:{3,5,6}:{(59,1),(60,1),(77,1)}
        70:{1,3,5,7}:{(60,1),(61,1),(78,1),(80,1),(82,1)}
        71:{2,3,5,7}:{(60,1),(62,1),(65,1),(81,1),(82,1)}
        72:{1,2,4,6,7}:{(61,1),(62,1),(82,1),(83,1),(93,1),(96,1)}
        73:{1,3,4,5,6}:{(63,1),(64,1),(80,1),(84,1),(102,1)}
        74:{2,4,5,6}:{(63,1),(65,1),(81,1)}
        75:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(82,1),(84,1),(85,1),(96,1)}
        76:{2,3,6,7}:{(66,1),(85,1)}
        77:{3,4,6}:{(67,1),(68,1),(69,1),(86,1)}
        78:{1,4,5,7}:{(68,1),(70,1),(86,1)}
        79:{2,3,4,5,7}:{(68,1),(71,1),(87,1),(88,1),(92,1),(101,1)}
        80:{1,3,5,6}:{(69,1),(70,1),(86,1),(89,1),(98,1)}
        81:{2,3,5,6}:{(69,1),(71,1),(74,1),(87,1),(89,1)}
        82:{1,2,5,7}:{(70,1),(71,1),(72,1),(89,1)}
        83:{1,2,3,6,7}:{(72,1),(76,1),(90,1),(98,1)}
        84:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(89,1),(91,1),(100,1)}
        85:{2,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,4,6}:{(77,1),(78,1),(80,1)}
        87:{2,3,4,6}:{(77,1),(79,1),(81,1),(93,1)}
        88:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(93,1),(94,1),(96,1),(103,1)}
        89:{1,2,5,6}:{(80,1),(81,1),(82,1),(93,1)}
        90:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(94,1),(95,1),(96,1)}
        91:{2,3,5,6}:{(84,1),(85,1),(97,1)}
        92:{2,3,4,7}:{(85,1),(96,1),(97,1)}
        93:{1,2,4,6}:{(86,1),(87,1),(88,1),(89,1),(98,1)}
        94:{1,3,5,7}:{(88,1),(98,1),(99,1),(104,1)}
        95:{1,2,3,5,6}:{(89,1),(90,1),(91,1),(98,1),(100,1),(104,1)}
        96:{1,2,4,7}:{(90,1),(92,1),(99,1),(100,1)}
        97:{2,3,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{1,3,6}:{(93,1),(94,1)}
        99:{1,3,4,7}:{(94,1),(96,1),(102,1)}
       100:{1,2,4,6}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{2,3,4,5}:{(97,1),(103,1)}
       102:{1,3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       103:{1,2,4,5}:{(100,1),(101,1),(104,1)}
       104:{1,3,5}:{(102,1),(103,1)}

1681 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(21,1),(23,1),(24,1),(27,1),(28,1),(50,1),(80,1),(81,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(36,1),(37,1),(99,1),(100,1),(125,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(19,1),(20,1),(21,1),(47,1),(87,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(25,1),(26,1),(27,1),(135,1)}
         4:{3,4,6,7}:{(1,1),(7,1),(22,1),(50,1),(82,1),(134,1)}
         5:{3,5,6,7}:{(2,1),(10,1),(13,1),(65,1),(105,1)}
         6:{1,2,4,5,6}:{(3,1),(13,1),(36,1),(37,1),(38,1)}
         7:{3,5,7}:{(3,1),(4,1),(13,1),(138,1)}
         8:{1,3,4,6,7}:{(4,1),(15,1),(17,1),(36,1),(67,1),(72,1),(76,1),(100,1),(108,1)}
         9:{2,3,4,6,7}:{(4,1),(16,1),(17,1),(37,1),(66,1),(72,1),(76,1),(99,1),(107,1)}
        10:{3,4,6,7}:{(5,1),(18,1),(19,1),(20,1),(22,1),(50,1),(82,1),(118,1)}
        11:{1,3,5,6,7}:{(5,1),(19,1),(21,1),(23,1),(45,1),(50,1),(81,1),(121,1)}
        12:{2,3,5,6,7}:{(5,1),(20,1),(21,1),(24,1),(46,1),(50,1),(80,1),(120,1)}
        13:{3,5,6}:{(6,1),(7,1),(22,1)}
        14:{3,4,5,7}:{(7,1),(22,1),(25,1),(26,1),(58,1),(82,1),(114,1)}
        15:{1,3,5,7}:{(7,1),(8,1),(23,1),(25,1),(27,1),(58,1),(124,1)}
        16:{2,3,5,7}:{(7,1),(9,1),(24,1),(26,1),(27,1),(58,1),(123,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(27,1),(28,1),(54,1),(59,1),(122,1)}
        18:{3,4,5,7}:{(10,1),(29,1),(30,1),(31,1),(65,1)}
        19:{1,4,6,7}:{(10,1),(11,1),(30,1),(36,1),(100,1),(131,1)}
        20:{2,4,6,7}:{(10,1),(12,1),(31,1),(37,1),(99,1),(130,1)}
        21:{1,2,5,6,7}:{(11,1),(12,1),(34,1),(38,1),(63,1),(64,1),(132,1)}
        22:{3,4,6}:{(13,1),(14,1),(36,1),(37,1),(72,1)}
        23:{1,3,5,6}:{(13,1),(15,1),(36,1),(38,1),(72,1)}
        24:{2,3,5,6}:{(13,1),(16,1),(37,1),(38,1),(72,1)}
        25:{1,4,5,7}:{(14,1),(15,1),(36,1),(100,1),(127,1)}
        26:{2,4,5,7}:{(14,1),(16,1),(37,1),(99,1),(126,1)}
        27:{1,2,5,7}:{(15,1),(16,1),(17,1),(38,1),(133,1)}
        28:{1,2,3,6,7}:{(17,1),(42,1),(66,1),(67,1),(72,1),(106,1)}
        29:{3,4,5,6}:{(18,1),(22,1),(43,1),(44,1),(79,1),(114,1),(118,1)}
        30:{1,4,5,7}:{(18,1),(19,1),(43,1),(45,1)}
        31:{2,4,5,7}:{(18,1),(20,1),(44,1),(46,1)}
        32:{1,3,4,6,7}:{(19,1),(45,1),(48,1),(50,1),(52,1),(82,1)}
        33:{2,3,4,6,7}:{(20,1),(46,1),(49,1),(50,1),(53,1),(82,1)}
        34:{1,2,4,6,7}:{(19,1),(20,1),(21,1),(47,1),(50,1),(54,1),(137,1)}
        35:{1,2,3,5,6,7}:{(21,1),(50,1),(51,1),(55,1),(80,1),(81,1),(83,1),(86,1),(119,1),(120,1),(121,1)}
        36:{1,4,6}:{(22,1),(23,1),(25,1)}
        37:{2,4,6}:{(22,1),(24,1),(26,1)}
        38:{1,2,5,6}:{(23,1),(24,1),(27,1),(54,1)}
        39:{1,3,4,5,7}:{(25,1),(45,1),(52,1),(56,1),(58,1),(82,1),(94,1),(114,1),(117,1),(124,1),(136,1)}
        40:{2,3,4,5,7}:{(26,1),(46,1),(53,1),(57,1),(58,1),(82,1),(93,1),(114,1),(116,1),(123,1),(136,1)}
        41:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(54,1),(58,1),(59,1),(91,1)}
        42:{1,2,3,5,7}:{(27,1),(28,1),(55,1),(58,1),(59,1),(80,1),(81,1)}
        43:{1,4,5,6}:{(29,1),(30,1),(36,1),(60,1),(127,1),(131,1)}
        44:{2,4,5,6}:{(29,1),(31,1),(37,1),(61,1),(126,1),(130,1)}
        45:{1,3,5,7}:{(30,1),(32,1),(60,1),(63,1),(65,1)}
        46:{2,3,5,7}:{(31,1),(33,1),(61,1),(64,1),(65,1)}
        47:{1,2,4,5,7}:{(30,1),(31,1),(34,1),(62,1),(63,1),(64,1),(65,1),(99,1),(100,1)}
        48:{1,2,4,6,7}:{(32,1),(63,1),(66,1),(70,1),(99,1)}
        49:{1,2,4,6,7}:{(33,1),(64,1),(67,1),(71,1),(100,1)}
        50:{3,6,7}:{(34,1),(65,1),(72,1),(139,1)}
        51:{1,2,4,6,7}:{(35,1),(68,1),(69,1),(73,1),(99,1),(100,1),(130,1),(131,1)}
        52:{1,3,4,6}:{(36,1),(39,1),(60,1),(70,1),(72,1),(97,1),(131,1),(139,1)}
        53:{2,3,4,6}:{(37,1),(40,1),(61,1),(71,1),(72,1),(97,1),(130,1),(139,1)}
        54:{1,2,4,6}:{(36,1),(37,1),(38,1),(41,1),(72,1)}
        55:{1,2,3,5,6}:{(38,1),(42,1),(72,1),(73,1),(95,1),(96,1),(106,1),(109,1),(133,1)}
        56:{1,2,4,5,7}:{(39,1),(63,1),(70,1),(74,1),(99,1),(110,1),(126,1),(133,1)}
        57:{1,2,4,5,7}:{(40,1),(64,1),(71,1),(75,1),(100,1),(110,1),(127,1),(133,1)}
        58:{3,5,7}:{(41,1),(72,1),(76,1),(109,1)}
        59:{1,2,4,7}:{(42,1),(73,1),(76,1),(99,1),(100,1)}
        60:{1,3,5,6}:{(43,1),(45,1),(52,1),(77,1),(79,1),(124,1)}
        61:{2,3,5,6}:{(44,1),(46,1),(53,1),(78,1),(79,1),(123,1)}
        62:{1,2,4,5,6}:{(43,1),(44,1),(47,1),(54,1),(77,1),(78,1),(79,1),(91,1),(112,1),(113,1),(135,1),(137,1)}
        63:{1,2,5,7}:{(45,1),(48,1),(77,1),(80,1)}
        64:{1,2,5,7}:{(46,1),(49,1),(78,1),(81,1)}
        65:{3,5,7}:{(47,1),(50,1),(79,1),(82,1)}
        66:{2,3,6,7}:{(48,1),(50,1),(80,1),(88,1)}
        67:{1,3,6,7}:{(49,1),(50,1),(81,1),(89,1)}
        68:{3,4,6,7}:{(50,1),(51,1),(82,1),(86,1),(90,1),(118,1)}
        69:{1,2,4,5,7}:{(51,1),(86,1),(87,1),(91,1),(116,1),(117,1),(119,1)}
        70:{1,2,4,6}:{(52,1),(56,1),(77,1),(88,1),(112,1)}
        71:{1,2,4,6}:{(53,1),(57,1),(78,1),(89,1),(113,1)}
        72:{3,6}:{(54,1),(58,1)}
        73:{1,2,4,6}:{(55,1),(59,1),(90,1),(91,1),(112,1),(113,1)}
        74:{2,3,5,7}:{(56,1),(58,1),(88,1),(93,1),(123,1),(136,1)}
        75:{1,3,5,7}:{(57,1),(58,1),(89,1),(94,1),(124,1),(136,1)}
        76:{3,4,7}:{(58,1),(59,1),(90,1)}
        77:{1,2,5,6}:{(60,1),(63,1),(70,1),(95,1),(133,1)}
        78:{1,2,5,6}:{(61,1),(64,1),(71,1),(96,1),(133,1)}
        79:{3,5,6}:{(62,1),(65,1),(72,1),(97,1),(109,1),(138,1),(139,1)}
        80:{2,3,5,7}:{(63,1),(65,1),(66,1),(95,1),(99,1)}
        81:{1,3,5,7}:{(64,1),(65,1),(67,1),(96,1),(100,1)}
        82:{3,4,7}:{(65,1),(97,1),(99,1),(100,1)}
        83:{1,2,3,6,7}:{(66,1),(67,1),(98,1),(102,1),(106,1),(139,1)}
        84:{2,3,4,6,7}:{(66,1),(68,1),(99,1),(102,1),(103,1),(107,1),(128,1),(130,1),(139,1)}
        85:{1,3,4,6,7}:{(67,1),(68,1),(100,1),(102,1),(104,1),(108,1),(128,1),(131,1),(139,1)}
        86:{3,5,7}:{(68,1),(69,1),(105,1),(109,1)}
        87:{1,2,4,5,6}:{(69,1),(105,1),(130,1),(131,1),(132,1)}
        88:{2,3,6}:{(70,1),(72,1),(74,1),(139,1)}
        89:{1,3,6}:{(71,1),(72,1),(75,1),(139,1)}
        90:{3,4,6}:{(72,1),(73,1),(76,1),(109,1)}
        91:{1,2,4,5}:{(73,1),(109,1),(126,1),(127,1),(133,1)}
        92:{1,2,3,5,7}:{(74,1),(75,1),(106,1),(110,1),(133,1)}
        93:{2,3,4,7}:{(74,1),(76,1),(99,1),(107,1),(110,1),(128,1)}
        94:{1,3,4,7}:{(75,1),(76,1),(100,1),(108,1),(110,1),(128,1)}
        95:{2,3,5,6}:{(77,1),(79,1),(80,1),(88,1),(112,1),(123,1)}
        96:{1,3,5,6}:{(78,1),(79,1),(81,1),(89,1),(113,1),(124,1)}
        97:{3,4,6}:{(79,1),(82,1),(112,1),(113,1),(114,1)}
        98:{1,2,3,5,7}:{(80,1),(81,1),(83,1),(111,1),(115,1),(119,1),(136,1)}
        99:{2,4,7}:{(80,1),(82,1),(112,1)}
       100:{1,4,7}:{(81,1),(82,1),(113,1)}
       101:{3,4,5,7}:{(82,1),(86,1),(114,1),(116,1),(117,1),(118,1),(136,1)}
       102:{1,2,4,6,7}:{(83,1),(84,1),(85,1),(115,1),(119,1),(122,1),(137,1)}
       103:{2,3,5,7}:{(84,1),(86,1),(116,1),(119,1),(120,1),(123,1),(136,1)}
       104:{1,3,5,7}:{(85,1),(86,1),(117,1),(119,1),(121,1),(124,1),(136,1)}
       105:{3,5,6}:{(86,1),(87,1),(118,1)}
       106:{1,2,3,6}:{(88,1),(89,1),(92,1),(122,1)}
       107:{2,3,4,6}:{(88,1),(90,1),(93,1),(112,1),(122,1),(123,1),(134,1)}
       108:{1,3,4,6}:{(89,1),(90,1),(94,1),(113,1),(122,1),(124,1),(134,1)}
       109:{3,5}:{(90,1),(91,1)}
       110:{1,2,4,7}:{(92,1),(93,1),(94,1),(122,1)}
       111:{1,2,3,5,6}:{(95,1),(96,1),(98,1),(106,1),(125,1),(132,1),(133,1),(138,1),(139,1)}
       112:{2,4,6}:{(95,1),(97,1),(99,1),(126,1)}
       113:{1,4,6}:{(96,1),(97,1),(100,1),(127,1)}
       114:{3,4,5}:{(97,1),(109,1),(126,1),(127,1),(138,1)}
       115:{1,2,4,7}:{(98,1),(99,1),(100,1),(125,1),(128,1)}
       116:{2,4,5,7}:{(99,1),(101,1),(103,1),(126,1),(130,1)}
       117:{1,4,5,7}:{(100,1),(101,1),(104,1),(127,1),(131,1)}
       118:{3,4,6}:{(101,1),(105,1),(130,1),(131,1),(139,1)}
       119:{1,2,5,7}:{(102,1),(103,1),(104,1),(132,1),(133,1)}
       120:{2,3,5,6}:{(103,1),(105,1),(130,1),(132,1),(139,1)}
       121:{1,3,5,6}:{(104,1),(105,1),(131,1),(132,1),(139,1)}
       122:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(133,1)}
       123:{2,3,5}:{(107,1),(109,1),(126,1),(133,1),(138,1)}
       124:{1,3,5}:{(108,1),(109,1),(127,1),(133,1),(138,1)}
       125:{1,2,4,6}:{(111,1),(112,1),(113,1),(115,1),(134,1),(135,1)}
       126:{2,4,5}:{(112,1),(114,1),(123,1)}
       127:{1,4,5}:{(113,1),(114,1),(124,1)}
       128:{3,4,7}:{(115,1),(134,1),(136,1)}
       129:{1,2,4,5,7}:{(115,1),(116,1),(117,1),(119,1),(135,1),(136,1),(137,1)}
       130:{2,4,6}:{(116,1),(118,1),(120,1)}
       131:{1,4,6}:{(117,1),(118,1),(121,1)}
       132:{1,2,5,6}:{(119,1),(120,1),(121,1),(137,1)}
       133:{1,2,5}:{(122,1),(123,1),(124,1)}
       134:{3,4,6}:{(125,1),(128,1),(138,1),(139,1)}
       135:{1,2,4,5}:{(125,1),(126,1),(127,1),(133,1),(138,1)}
       136:{3,5,7}:{(128,1),(129,1),(138,1),(139,1)}
       137:{1,2,4,6}:{(129,1),(130,1),(131,1),(132,1),(139,1)}
       138:{3,5}:{(134,1),(135,1)}
       139:{3,6}:{(136,1),(137,1)}

1682 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(18,1),(37,1),(38,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(24,1),(47,1)}
        2:{1,2,4,5,7}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,5,6}:{(1,1),(5,1),(12,1),(34,1),(37,1)}
        4:{3,4,5,7}:{(2,1),(10,1),(24,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(10,1)}
        6:{1,2,3,5,6,7}:{(3,1),(11,1),(24,1),(40,1),(41,1),(47,1),(48,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(30,1),(31,1),(34,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(16,1),(35,1),(52,1),(62,1)}
        9:{1,3,4,5,7}:{(4,1),(15,1),(17,1),(36,1),(52,1),(62,1)}
       10:{3,4,6}:{(4,1),(5,1),(12,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(13,1),(18,1),(49,1),(50,1)}
       12:{3,5,6}:{(7,1),(10,1),(24,1)}
       13:{1,2,4,5,7}:{(7,1),(11,1),(24,1),(43,1),(44,1),(47,1)}
       14:{1,2,3,4,7}:{(21,1),(25,1),(60,1)}
       15:{1,2,4,5,7}:{(8,1),(9,1),(25,1),(26,1),(45,1),(47,1),(60,1)}
       16:{2,3,4,6}:{(8,1),(10,1),(22,1),(26,1),(58,1)}
       17:{1,3,4,6}:{(9,1),(10,1),(23,1),(26,1),(58,1)}
       18:{3,4,6,7}:{(10,1),(11,1),(24,1)}
       19:{1,2,4,5,6,7}:{(13,1),(29,1),(49,1),(50,1),(51,1)}
       20:{3,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(53,1)}
       21:{1,2,3,4,6}:{(14,1),(33,1),(37,1),(55,1)}
       22:{2,3,5,6}:{(12,1),(16,1),(30,1),(34,1),(35,1),(53,1)}
       23:{1,3,5,6}:{(12,1),(17,1),(31,1),(34,1),(36,1),(53,1)}
       24:{3,5,7}:{(12,1),(13,1),(18,1)}
       25:{1,2,3,5,7}:{(14,1),(15,1),(33,1),(37,1)}
       26:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(37,1)}
       27:{2,3,4,6,7}:{(16,1),(18,1),(35,1),(38,1),(49,1),(61,1),(62,1)}
       28:{1,3,4,6,7}:{(17,1),(18,1),(36,1),(38,1),(50,1),(61,1),(62,1)}
       29:{3,5,6,7}:{(19,1),(24,1),(39,1)}
       30:{2,4,5,6}:{(20,1),(22,1),(43,1)}
       31:{1,4,5,6}:{(20,1),(23,1),(44,1)}
       32:{3,4,5,7}:{(20,1),(24,1),(39,1),(43,1),(44,1),(59,1)}
       33:{1,2,3,5}:{(21,1),(45,1)}
       34:{1,2,5,6}:{(22,1),(23,1),(26,1),(47,1)}
       35:{2,3,5,7}:{(22,1),(24,1),(27,1),(43,1),(47,1),(59,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(28,1),(44,1),(47,1),(59,1)}
       37:{1,2,3,6}:{(25,1),(26,1)}
       38:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(47,1),(48,1),(60,1)}
       39:{3,4,6,7}:{(29,1),(32,1),(49,1),(50,1),(61,1)}
       40:{2,3,5,6,7}:{(29,1),(35,1),(49,1),(51,1),(61,1)}
       41:{1,3,5,6,7}:{(29,1),(36,1),(50,1),(51,1),(61,1)}
       42:{1,2,4,5,6}:{(30,1),(31,1),(34,1),(53,1),(54,1),(55,1)}
       43:{2,4,5,7}:{(30,1),(32,1),(35,1),(49,1)}
       44:{1,4,5,7}:{(31,1),(32,1),(36,1),(50,1)}
       45:{1,2,4,5}:{(33,1),(52,1),(55,1)}
       46:{1,2,3,5,6}:{(33,1),(34,1),(37,1),(53,1),(55,1),(56,1)}
       47:{1,2,5,7}:{(34,1),(35,1),(36,1),(38,1)}
       48:{1,2,3,6,7}:{(37,1),(38,1),(56,1),(61,1)}
       49:{2,4,6,7}:{(39,1),(40,1),(43,1)}
       50:{1,4,6,7}:{(39,1),(41,1),(44,1)}
       51:{1,2,5,6,7}:{(40,1),(41,1),(47,1),(57,1)}
       52:{3,4,5}:{(45,1),(58,1)}
       53:{3,5,6}:{(42,1),(58,1),(59,1)}
       54:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(47,1),(57,1),(59,1),(60,1)}
       55:{1,2,4,6}:{(45,1),(46,1),(58,1),(60,1)}
       56:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(59,1),(60,1)}
       57:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(54,1),(61,1)}
       58:{3,4,6}:{(52,1),(53,1),(55,1),(62,1)}
       59:{3,5,7}:{(53,1),(54,1),(61,1),(62,1)}
       60:{1,2,4,7}:{(55,1),(56,1),(62,1)}
       61:{3,6,7}:{(57,1),(59,1)}
       62:{3,4,7}:{(58,1),(59,1),(60,1)}

1683 :  0:{1,2,3,4,7}:{(1,1),(2,1),(29,1),(80,1)}
        1:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        2:{1,2,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(71,1),(72,1)}
        3:{1,3,4,5,7}:{(5,1),(8,1),(22,1),(23,1),(42,1)}
        4:{2,3,4,5,7}:{(5,1),(9,1),(22,1),(25,1),(42,1)}
        5:{1,2,4,5,7}:{(1,1),(3,1),(4,1),(10,1),(13,1),(27,1),(29,1)}
        6:{1,2,3,6}:{(1,1),(10,1)}
        7:{1,2,3,5}:{(2,1),(13,1)}
        8:{1,3,4,6}:{(3,1),(10,1),(15,1),(30,1)}
        9:{2,3,4,6}:{(4,1),(10,1),(17,1),(30,1)}
       10:{1,2,4,6}:{(5,1),(6,1),(8,1),(9,1),(19,1)}
       11:{1,2,3,6,7}:{(6,1),(18,1),(20,1),(66,1),(83,1)}
       12:{1,2,3,5,6}:{(6,1),(7,1),(19,1),(20,1),(21,1),(41,1),(69,1),(71,1)}
       13:{1,2,4,5}:{(7,1),(21,1),(22,1)}
       14:{1,3,4,6,7}:{(8,1),(18,1),(23,1),(42,1),(46,1),(66,1)}
       15:{1,3,5,6}:{(8,1),(19,1),(23,1),(24,1),(41,1)}
       16:{2,3,4,6,7}:{(9,1),(18,1),(25,1),(42,1),(49,1),(66,1)}
       17:{2,3,5,6}:{(9,1),(19,1),(25,1),(26,1),(41,1)}
       18:{1,2,4,6,7}:{(10,1),(11,1),(14,1),(16,1),(27,1),(29,1)}
       19:{1,2,5,6}:{(10,1),(15,1),(17,1),(27,1)}
       20:{1,2,3,5,7}:{(11,1),(12,1),(27,1),(29,1),(53,1),(79,1),(80,1)}
       21:{1,2,4,6}:{(12,1),(13,1),(29,1),(30,1)}
       22:{3,4,5}:{(13,1),(30,1)}
       23:{1,3,5,7}:{(14,1),(15,1),(27,1),(34,1),(53,1)}
       24:{1,4,5,6}:{(15,1),(34,1),(35,1)}
       25:{2,3,5,7}:{(16,1),(17,1),(27,1),(37,1),(53,1)}
       26:{2,4,5,6}:{(17,1),(37,1),(38,1)}
       27:{1,2,5,7}:{(18,1),(19,1),(23,1),(25,1)}
       28:{1,2,4,5,6}:{(19,1),(21,1),(24,1),(26,1),(40,1),(41,1),(48,1),(51,1),(69,1)}
       29:{1,2,4,7}:{(20,1),(21,1),(42,1)}
       30:{3,4,6}:{(21,1),(22,1),(41,1),(42,1)}
       31:{1,3,4,5}:{(22,1),(43,1),(45,1)}
       32:{2,3,4,5}:{(22,1),(44,1),(45,1)}
       33:{1,3,5,6,7}:{(23,1),(39,1),(46,1),(66,1),(73,1)}
       34:{1,4,5,7}:{(23,1),(24,1),(46,1),(47,1)}
       35:{3,4,5,6}:{(24,1),(41,1),(47,1),(48,1)}
       36:{2,3,5,6,7}:{(25,1),(39,1),(49,1),(66,1),(75,1)}
       37:{2,4,5,7}:{(25,1),(26,1),(49,1),(50,1)}
       38:{3,4,5,6}:{(26,1),(41,1),(50,1),(51,1)}
       39:{1,2,5,6,7}:{(27,1),(33,1),(36,1),(52,1),(81,1),(82,1)}
       40:{1,2,4,5,7}:{(27,1),(28,1),(29,1),(34,1),(37,1),(52,1),(53,1),(62,1),(65,1),(79,1)}
       41:{3,5,6}:{(28,1),(30,1),(53,1)}
       42:{3,4,7}:{(29,1),(30,1),(53,1)}
       43:{1,3,4,6}:{(30,1),(31,1),(54,1),(56,1),(58,1)}
       44:{2,3,4,6}:{(30,1),(32,1),(55,1),(57,1),(58,1)}
       45:{1,2,4,5}:{(31,1),(32,1),(58,1),(59,1)}
       46:{1,4,6,7}:{(33,1),(34,1),(61,1)}
       47:{3,4,5,7}:{(34,1),(35,1),(53,1),(61,1),(62,1)}
       48:{2,4,5,6}:{(35,1),(55,1),(62,1)}
       49:{2,4,6,7}:{(36,1),(37,1),(64,1)}
       50:{3,4,5,7}:{(37,1),(38,1),(53,1),(64,1),(65,1)}
       51:{1,4,5,6}:{(38,1),(54,1),(65,1)}
       52:{1,2,4,6,7}:{(39,1),(40,1),(46,1),(49,1),(66,1),(74,1),(76,1),(83,1)}
       53:{3,5,7}:{(40,1),(41,1),(42,1),(66,1)}
       54:{1,3,5,6}:{(41,1),(43,1),(51,1),(67,1),(69,1)}
       55:{2,3,5,6}:{(41,1),(44,1),(48,1),(68,1),(69,1)}
       56:{1,3,4,7}:{(42,1),(43,1),(67,1),(70,1)}
       57:{2,3,4,7}:{(42,1),(44,1),(68,1),(70,1)}
       58:{1,2,4,6}:{(43,1),(44,1),(45,1),(69,1),(70,1),(71,1)}
       59:{1,2,3,5}:{(45,1),(71,1),(72,1)}
       60:{1,4,5,6,7}:{(46,1),(73,1)}
       61:{3,4,6,7}:{(46,1),(47,1),(66,1),(73,1),(74,1)}
       62:{2,4,5,7}:{(47,1),(48,1),(68,1),(74,1)}
       63:{2,4,5,6,7}:{(49,1),(75,1)}
       64:{3,4,6,7}:{(49,1),(50,1),(66,1),(75,1),(76,1)}
       65:{1,4,5,7}:{(50,1),(51,1),(67,1),(76,1)}
       66:{3,6,7}:{(52,1),(53,1)}
       67:{1,3,5,7}:{(53,1),(54,1),(56,1),(65,1),(77,1),(79,1)}
       68:{2,3,5,7}:{(53,1),(55,1),(57,1),(62,1),(78,1),(79,1)}
       69:{1,2,5,6}:{(54,1),(55,1),(58,1),(79,1)}
       70:{1,2,4,7}:{(56,1),(57,1),(58,1),(79,1),(80,1)}
       71:{1,2,3,6}:{(58,1),(59,1),(80,1)}
       72:{1,2,3,4}:{(59,1)}
       73:{3,5,6,7}:{(60,1),(61,1),(81,1)}
       74:{2,4,6,7}:{(61,1),(62,1),(78,1),(81,1)}
       75:{3,5,6,7}:{(63,1),(64,1),(82,1)}
       76:{1,4,6,7}:{(64,1),(65,1),(77,1),(82,1)}
       77:{1,3,6,7}:{(66,1),(67,1),(76,1),(83,1)}
       78:{2,3,6,7}:{(66,1),(68,1),(74,1),(83,1)}
       79:{1,2,5,7}:{(67,1),(68,1),(69,1),(70,1),(83,1)}
       80:{1,2,3,7}:{(70,1),(71,1)}
       81:{2,5,6,7}:{(73,1),(74,1)}
       82:{1,5,6,7}:{(75,1),(76,1)}
       83:{1,2,6,7}:{(77,1),(78,1),(79,1)}

1684 :   0:{1,3,4,6,7}:{(2,1),(3,1),(14,1),(36,1),(42,1),(45,1),(67,1),(73,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(37,1),(42,1),(45,1),(68,1),(74,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(26,1),(29,1),(52,1),(53,1),(80,1),(87,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(30,1),(49,1),(85,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(8,1),(10,1),(30,1),(50,1),(86,1)}
         5:{1,3,5,6}:{(3,1),(13,1),(14,1),(39,1),(42,1)}
         6:{2,3,5,6}:{(4,1),(13,1),(15,1),(40,1),(42,1)}
         7:{1,2,3,6,7}:{(2,1),(16,1),(42,1),(67,1),(68,1),(75,1),(96,1),(101,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(4,1),(13,1),(65,1),(66,1),(95,1)}
         9:{1,4,5,7}:{(3,1),(14,1),(18,1),(89,1),(92,1)}
        10:{2,4,5,7}:{(4,1),(15,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(5,1),(20,1),(21,1),(49,1),(51,1),(78,1)}
        12:{2,3,5,6,7}:{(6,1),(20,1),(22,1),(50,1),(51,1),(79,1)}
        13:{1,2,5,6}:{(5,1),(6,1),(8,1),(26,1),(55,1),(56,1)}
        14:{1,4,6}:{(5,1),(9,1),(27,1)}
        15:{2,4,6}:{(6,1),(10,1),(28,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(25,1),(29,1),(30,1),(63,1),(78,1),(79,1),(88,1),(100,1)}
        17:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(26,1),(29,1),(30,1),(31,1),(32,1),(57,1),(63,1),(97,1),(98,1)}
        18:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(49,1),(77,1),(81,1)}
        19:{3,4,5,7}:{(10,1),(28,1),(30,1),(32,1),(50,1),(77,1),(81,1)}
        20:{1,2,5,6,7}:{(11,1),(12,1),(13,1),(35,1),(65,1),(66,1),(91,1)}
        21:{1,4,6,7}:{(11,1),(14,1),(33,1),(36,1),(89,1)}
        22:{2,4,6,7}:{(12,1),(15,1),(34,1),(37,1),(90,1)}
        23:{1,4,5,6}:{(14,1),(33,1),(39,1)}
        24:{2,4,5,6}:{(15,1),(34,1),(40,1)}
        25:{1,2,3,5,6}:{(13,1),(16,1),(41,1),(42,1),(70,1),(71,1),(72,1),(75,1),(95,1),(96,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(42,1),(43,1),(44,1),(75,1)}
        27:{3,4,6}:{(14,1),(18,1),(39,1),(42,1),(43,1)}
        28:{3,4,6}:{(15,1),(19,1),(40,1),(42,1),(44,1)}
        29:{1,2,4,7}:{(16,1),(41,1),(45,1),(89,1),(90,1),(103,1)}
        30:{3,5,7}:{(17,1),(42,1),(45,1),(72,1),(101,1),(102,1)}
        31:{2,4,5,7}:{(18,1),(43,1),(47,1),(65,1),(90,1),(93,1)}
        32:{1,4,5,7}:{(19,1),(44,1),(46,1),(66,1),(89,1),(92,1)}
        33:{1,4,5,7}:{(21,1),(23,1),(49,1)}
        34:{2,4,5,7}:{(22,1),(24,1),(50,1)}
        35:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(26,1),(48,1),(51,1),(52,1),(53,1),(80,1),(97,1)}
        36:{3,4,6,7}:{(21,1),(27,1),(49,1),(51,1),(52,1),(77,1)}
        37:{3,4,6,7}:{(22,1),(28,1),(50,1),(51,1),(53,1),(77,1)}
        38:{1,2,4,5,6}:{(23,1),(24,1),(26,1),(48,1),(54,1),(55,1),(56,1),(57,1),(82,1),(83,1),(84,1)}
        39:{3,5,6}:{(23,1),(27,1),(49,1),(55,1)}
        40:{3,5,6}:{(24,1),(28,1),(50,1),(56,1)}
        41:{1,2,4,6}:{(25,1),(29,1),(57,1),(58,1),(82,1),(83,1)}
        42:{3,6}:{(26,1),(30,1)}
        43:{2,4,6}:{(27,1),(31,1),(55,1),(60,1)}
        44:{1,4,6}:{(28,1),(32,1),(56,1),(59,1)}
        45:{3,4,7}:{(29,1),(30,1),(58,1),(104,1)}
        46:{1,3,5,7}:{(30,1),(32,1),(59,1),(61,1),(63,1),(85,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(60,1),(62,1),(63,1),(86,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(38,1),(64,1),(65,1),(66,1),(89,1),(90,1),(91,1)}
        49:{3,5,7}:{(33,1),(36,1),(39,1),(65,1)}
        50:{3,5,7}:{(34,1),(37,1),(40,1),(66,1)}
        51:{3,6,7}:{(35,1),(42,1),(64,1),(101,1)}
        52:{2,4,6,7}:{(36,1),(43,1),(65,1),(68,1),(90,1)}
        53:{1,4,6,7}:{(37,1),(44,1),(66,1),(67,1),(89,1)}
        54:{3,5,6}:{(38,1),(42,1),(64,1),(69,1),(72,1)}
        55:{2,5,6}:{(39,1),(43,1),(65,1)}
        56:{1,5,6}:{(40,1),(44,1),(66,1)}
        57:{1,2,4,5}:{(41,1),(72,1),(92,1),(93,1),(95,1)}
        58:{3,4,6}:{(41,1),(42,1),(45,1),(72,1)}
        59:{1,3,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{2,3,6}:{(42,1),(43,1),(47,1),(75,1)}
        61:{1,3,4,7}:{(45,1),(46,1),(73,1),(76,1),(89,1),(101,1)}
        62:{2,3,4,7}:{(45,1),(47,1),(74,1),(76,1),(90,1),(101,1)}
        63:{1,2,5,7}:{(46,1),(47,1),(75,1),(76,1),(95,1)}
        64:{3,5,7}:{(48,1),(51,1),(54,1),(77,1)}
        65:{2,5,7}:{(49,1),(52,1),(55,1)}
        66:{1,5,7}:{(50,1),(53,1),(56,1)}
        67:{1,3,6,7}:{(51,1),(53,1),(59,1),(78,1),(80,1)}
        68:{2,3,6,7}:{(51,1),(52,1),(60,1),(79,1),(80,1)}
        69:{3,4,6}:{(54,1),(77,1),(81,1),(82,1),(83,1),(99,1)}
        70:{1,3,5,6}:{(54,1),(56,1),(59,1),(78,1),(82,1),(84,1),(85,1),(99,1)}
        71:{2,3,5,6}:{(54,1),(55,1),(60,1),(79,1),(83,1),(84,1),(86,1),(99,1)}
        72:{3,5}:{(57,1),(58,1)}
        73:{1,3,4,6}:{(58,1),(59,1),(61,1),(82,1),(85,1),(87,1),(99,1),(104,1)}
        74:{2,3,4,6}:{(58,1),(60,1),(62,1),(83,1),(86,1),(87,1),(99,1),(104,1)}
        75:{1,2,6}:{(59,1),(60,1),(63,1)}
        76:{1,2,4,7}:{(61,1),(62,1),(63,1),(87,1),(88,1)}
        77:{3,4,7}:{(64,1),(69,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(66,1),(67,1),(70,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(68,1),(71,1),(90,1),(91,1),(101,1)}
        80:{1,2,6,7}:{(67,1),(68,1),(75,1),(91,1)}
        81:{3,4,5}:{(69,1),(72,1),(92,1),(93,1),(102,1)}
        82:{1,4,6}:{(69,1),(70,1),(89,1),(92,1)}
        83:{2,4,6}:{(69,1),(71,1),(90,1),(93,1)}
        84:{1,2,5,6}:{(70,1),(71,1),(75,1),(91,1),(94,1),(95,1)}
        85:{1,3,5}:{(72,1),(73,1),(92,1),(95,1),(102,1)}
        86:{2,3,5}:{(72,1),(74,1),(93,1),(95,1),(102,1)}
        87:{1,2,4,6}:{(73,1),(74,1),(75,1),(76,1),(95,1),(96,1),(103,1)}
        88:{1,2,3,7}:{(76,1),(96,1),(101,1)}
        89:{1,4,7}:{(77,1),(78,1),(82,1)}
        90:{2,4,7}:{(77,1),(79,1),(83,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(80,1),(84,1),(97,1)}
        92:{1,4,5}:{(81,1),(82,1),(85,1)}
        93:{2,4,5}:{(81,1),(83,1),(86,1)}
        94:{1,2,4,6}:{(82,1),(83,1),(84,1),(97,1),(98,1),(99,1)}
        95:{1,2,5}:{(85,1),(86,1),(87,1)}
        96:{1,2,3,6}:{(87,1),(88,1),(99,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(94,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
        99:{3,6}:{(94,1),(101,1),(102,1)}
       100:{1,2,3,5}:{(95,1),(96,1),(102,1),(103,1)}
       101:{3,7}:{(97,1),(99,1)}
       102:{3,5}:{(98,1),(99,1),(104,1)}
       103:{1,2,4}:{(100,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1685 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(23,1),(26,1),(49,1),(85,1)}
         2:{1,2,3,5}:{(0,1),(5,1),(8,1)}
         3:{1,3,4,5}:{(5,1),(9,1),(22,1)}
         4:{2,3,4,5}:{(5,1),(10,1),(22,1)}
         5:{1,2,4,5}:{(2,1),(3,1),(4,1),(11,1)}
         6:{1,2,3,5}:{(1,1),(12,1)}
         7:{1,2,3,4,7}:{(1,1),(14,1),(15,1),(37,1),(97,1)}
         8:{1,2,3,6}:{(2,1),(11,1),(15,1)}
         9:{1,3,4,6}:{(3,1),(11,1),(16,1),(17,1),(35,1)}
        10:{2,3,4,6}:{(4,1),(11,1),(18,1),(19,1),(35,1)}
        11:{1,2,4,6}:{(5,1),(8,1),(9,1),(10,1),(20,1),(21,1)}
        12:{1,2,4,5}:{(6,1),(22,1),(23,1)}
        13:{1,2,3,5,6}:{(6,1),(8,1),(20,1),(23,1),(25,1),(26,1),(46,1),(56,1),(80,1),(85,1)}
        14:{1,2,3,5,7}:{(6,1),(7,1),(24,1),(26,1)}
        15:{1,2,3,7}:{(8,1),(21,1)}
        16:{1,3,5,6}:{(9,1),(20,1),(27,1),(28,1),(46,1)}
        17:{1,3,4,7}:{(9,1),(21,1),(28,1),(53,1)}
        18:{2,3,5,6}:{(10,1),(20,1),(29,1),(30,1),(46,1)}
        19:{2,3,4,7}:{(10,1),(21,1),(30,1),(53,1)}
        20:{1,2,5,6}:{(11,1),(16,1),(18,1),(32,1)}
        21:{1,2,4,7}:{(11,1),(15,1),(17,1),(19,1),(32,1)}
        22:{3,4,5}:{(12,1),(35,1)}
        23:{1,2,4,6}:{(12,1),(13,1),(35,1),(37,1)}
        24:{1,2,4,5,7}:{(12,1),(14,1),(36,1),(37,1),(38,1),(73,1)}
        25:{1,2,3,5,7}:{(13,1),(15,1),(32,1),(37,1),(39,1),(65,1),(73,1),(93,1),(97,1)}
        26:{1,2,3,6}:{(14,1),(38,1)}
        27:{1,4,5,6}:{(16,1),(40,1),(41,1)}
        28:{1,3,5,7}:{(16,1),(17,1),(32,1),(41,1),(42,1),(65,1)}
        29:{2,4,5,6}:{(18,1),(43,1),(44,1)}
        30:{2,3,5,7}:{(18,1),(19,1),(32,1),(44,1),(45,1),(65,1)}
        31:{1,2,4,5,6}:{(20,1),(23,1),(27,1),(29,1),(46,1),(47,1),(56,1),(57,1),(60,1),(80,1),(88,1)}
        32:{1,2,5,7}:{(20,1),(21,1),(28,1),(30,1),(48,1)}
        33:{2,3,4,5}:{(22,1),(50,1),(51,1)}
        34:{1,3,4,5}:{(22,1),(50,1),(52,1)}
        35:{3,4,6}:{(22,1),(23,1),(46,1),(53,1)}
        36:{3,4,5,7}:{(22,1),(24,1),(53,1),(54,1),(87,1)}
        37:{1,2,4,7}:{(23,1),(25,1),(53,1)}
        38:{1,2,4,6}:{(24,1),(26,1),(54,1),(56,1)}
        39:{1,2,3,6,7}:{(25,1),(26,1),(48,1),(55,1),(83,1),(103,1)}
        40:{3,4,5,6}:{(27,1),(46,1),(57,1),(58,1),(88,1)}
        41:{1,4,5,7}:{(27,1),(28,1),(58,1),(59,1)}
        42:{1,3,6,7}:{(28,1),(48,1),(59,1),(83,1)}
        43:{3,4,5,6}:{(29,1),(46,1),(60,1),(61,1),(88,1)}
        44:{2,4,5,7}:{(29,1),(30,1),(61,1),(62,1)}
        45:{2,3,6,7}:{(30,1),(48,1),(62,1),(83,1)}
        46:{3,5,6}:{(31,1),(35,1),(65,1)}
        47:{1,2,4,5,7}:{(31,1),(32,1),(37,1),(41,1),(44,1),(65,1),(66,1),(73,1),(74,1),(77,1),(93,1),(98,1)}
        48:{1,2,6,7}:{(32,1),(42,1),(45,1)}
        49:{1,2,3,4}:{(67,1)}
        50:{1,2,4,5}:{(33,1),(34,1),(67,1),(68,1)}
        51:{2,3,4,6}:{(33,1),(35,1),(63,1),(68,1),(69,1)}
        52:{1,3,4,6}:{(34,1),(35,1),(64,1),(68,1),(70,1)}
        53:{3,4,7}:{(35,1),(37,1),(65,1)}
        54:{3,4,6}:{(36,1),(38,1),(72,1)}
        55:{1,2,4,6,7}:{(37,1),(38,1),(39,1),(71,1),(73,1)}
        56:{1,2,5,6}:{(38,1),(72,1),(73,1)}
        57:{2,4,5,6}:{(40,1),(63,1),(74,1)}
        58:{3,4,5,7}:{(40,1),(41,1),(65,1),(74,1),(75,1),(98,1)}
        59:{1,4,6,7}:{(41,1),(42,1),(75,1),(76,1)}
        60:{1,4,5,6}:{(43,1),(64,1),(77,1)}
        61:{3,4,5,7}:{(43,1),(44,1),(65,1),(77,1),(78,1),(98,1)}
        62:{2,4,6,7}:{(44,1),(45,1),(78,1),(79,1)}
        63:{2,3,5,6}:{(46,1),(51,1),(57,1),(80,1),(81,1)}
        64:{1,3,5,6}:{(46,1),(52,1),(60,1),(80,1),(82,1)}
        65:{3,5,7}:{(46,1),(47,1),(53,1),(83,1)}
        66:{1,2,4,6,7}:{(47,1),(48,1),(59,1),(62,1),(83,1),(84,1),(89,1),(91,1),(103,1),(104,1)}
        67:{1,2,3,5}:{(49,1),(50,1),(85,1)}
        68:{1,2,4,6}:{(50,1),(51,1),(52,1),(80,1),(85,1),(86,1)}
        69:{2,3,4,7}:{(51,1),(53,1),(81,1),(86,1)}
        70:{1,3,4,7}:{(52,1),(53,1),(82,1),(86,1)}
        71:{3,4,6,7}:{(53,1),(54,1),(55,1),(83,1),(87,1),(104,1)}
        72:{3,5,6}:{(54,1),(56,1),(87,1),(88,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(87,1)}
        74:{2,4,5,7}:{(57,1),(58,1),(81,1),(89,1)}
        75:{3,4,6,7}:{(58,1),(59,1),(83,1),(89,1),(90,1),(104,1)}
        76:{1,5,6,7}:{(59,1),(90,1)}
        77:{1,4,5,7}:{(60,1),(61,1),(82,1),(91,1)}
        78:{3,4,6,7}:{(61,1),(62,1),(83,1),(91,1),(92,1),(104,1)}
        79:{2,5,6,7}:{(62,1),(92,1)}
        80:{1,2,5,6}:{(63,1),(64,1),(68,1),(93,1)}
        81:{2,3,5,7}:{(63,1),(65,1),(69,1),(74,1),(93,1),(94,1)}
        82:{1,3,5,7}:{(64,1),(65,1),(70,1),(77,1),(93,1),(95,1)}
        83:{3,6,7}:{(65,1),(66,1)}
        84:{1,2,5,6,7}:{(66,1),(73,1),(76,1),(79,1),(96,1),(99,1),(101,1)}
        85:{1,2,3,6}:{(67,1),(68,1),(97,1)}
        86:{1,2,4,7}:{(68,1),(69,1),(70,1),(93,1),(97,1)}
        87:{3,5,7}:{(71,1),(72,1),(73,1),(98,1)}
        88:{4,5,6}:{(72,1),(98,1)}
        89:{2,4,6,7}:{(74,1),(75,1),(94,1),(99,1)}
        90:{3,5,6,7}:{(75,1),(76,1),(99,1),(100,1)}
        91:{1,4,6,7}:{(77,1),(78,1),(95,1),(101,1)}
        92:{3,5,6,7}:{(78,1),(79,1),(101,1),(102,1)}
        93:{1,2,5,7}:{(80,1),(81,1),(82,1),(86,1),(103,1)}
        94:{2,3,6,7}:{(81,1),(83,1),(89,1),(103,1)}
        95:{1,3,6,7}:{(82,1),(83,1),(91,1),(103,1)}
        96:{3,5,6,7}:{(83,1),(84,1),(87,1),(104,1)}
        97:{1,2,3,7}:{(85,1),(86,1)}
        98:{4,5,7}:{(87,1),(88,1),(104,1)}
        99:{2,5,6,7}:{(89,1),(90,1)}
       100:{4,5,6,7}:{(90,1),(104,1)}
       101:{1,5,6,7}:{(91,1),(92,1)}
       102:{4,5,6,7}:{(92,1),(104,1)}
       103:{1,2,6,7}:{(93,1),(94,1),(95,1)}
       104:{4,6,7}:{(96,1),(98,1)}

1686 :   0:{1,2,3,6,7}:{(3,1),(4,1),(41,1),(74,1),(75,1),(79,1),(83,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(41,1),(46,1),(49,1),(75,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(45,1),(53,1),(74,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(7,1),(9,1),(25,1),(65,1),(68,1),(71,1),(89,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(26,1),(61,1),(66,1),(87,1),(88,1),(94,1)}
         5:{2,3,5,7}:{(1,1),(7,1),(10,1),(11,1),(26,1),(64,1),(67,1)}
         6:{1,3,5,7}:{(2,1),(7,1),(12,1),(13,1),(26,1),(63,1),(70,1)}
         7:{1,2,5,7}:{(3,1),(5,1),(6,1),(14,1),(82,1),(84,1),(85,1)}
         8:{1,2,3,5,6}:{(4,1),(14,1),(16,1),(41,1),(44,1),(77,1),(78,1),(79,1),(82,1),(83,1)}
         9:{1,2,4,7}:{(4,1),(16,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(14,1),(19,1),(41,1),(50,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(81,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(14,1),(22,1),(41,1),(54,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(80,1),(95,1)}
        14:{1,2,5,6}:{(7,1),(10,1),(12,1),(25,1),(69,1),(72,1)}
        15:{1,2,4,5,7}:{(7,1),(9,1),(11,1),(13,1),(25,1),(26,1),(27,1),(34,1),(38,1),(61,1),(93,1),(101,1)}
        16:{1,2,4,6}:{(8,1),(9,1),(27,1),(28,1),(90,1),(91,1)}
        17:{3,4,7}:{(9,1),(26,1),(28,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(24,1),(31,1),(57,1),(67,1),(88,1)}
        19:{2,4,6}:{(10,1),(11,1),(33,1)}
        20:{3,4,5,7}:{(11,1),(26,1),(33,1),(34,1),(62,1),(67,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(24,1),(35,1),(57,1),(70,1),(87,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(26,1),(37,1),(38,1),(62,1),(70,1),(86,1)}
        24:{1,2,5,6,7}:{(14,1),(18,1),(21,1),(39,1),(84,1),(85,1),(97,1)}
        25:{1,2,4,6}:{(14,1),(15,1),(19,1),(22,1),(41,1),(51,1),(55,1),(79,1)}
        26:{3,5,7}:{(15,1),(17,1),(41,1),(44,1),(99,1),(104,1)}
        27:{1,2,4,5}:{(16,1),(44,1),(80,1),(81,1),(82,1)}
        28:{3,4,6}:{(16,1),(17,1),(41,1),(44,1)}
        29:{1,3,4,7}:{(17,1),(42,1),(45,1),(47,1),(95,1),(104,1)}
        30:{2,3,4,7}:{(17,1),(43,1),(46,1),(47,1),(96,1),(104,1)}
        31:{2,4,6,7}:{(18,1),(19,1),(48,1),(49,1),(96,1)}
        32:{2,4,5,6}:{(19,1),(48,1),(50,1)}
        33:{3,4,6}:{(19,1),(20,1),(41,1),(50,1),(51,1)}
        34:{1,4,5,7}:{(20,1),(42,1),(51,1),(80,1),(84,1),(95,1)}
        35:{1,4,6,7}:{(21,1),(22,1),(52,1),(53,1),(95,1)}
        36:{1,4,5,6}:{(22,1),(52,1),(54,1)}
        37:{3,4,6}:{(22,1),(23,1),(41,1),(54,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(43,1),(55,1),(81,1),(85,1),(96,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(31,1),(35,1),(56,1),(57,1),(68,1),(71,1),(89,1),(101,1)}
        40:{1,2,4,5,6}:{(25,1),(27,1),(32,1),(36,1),(56,1),(58,1),(69,1),(72,1),(90,1),(91,1),(92,1)}
        41:{3,6}:{(25,1),(26,1)}
        42:{1,3,5,7}:{(26,1),(29,1),(34,1),(59,1),(61,1),(63,1)}
        43:{2,3,5,7}:{(26,1),(30,1),(38,1),(60,1),(61,1),(64,1)}
        44:{3,5}:{(27,1),(28,1)}
        45:{1,3,4,6}:{(28,1),(29,1),(59,1),(63,1),(65,1),(90,1),(102,1),(103,1)}
        46:{2,3,4,6}:{(28,1),(30,1),(60,1),(64,1),(65,1),(91,1),(102,1),(103,1)}
        47:{1,2,4,7}:{(29,1),(30,1),(61,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(31,1),(32,1),(67,1)}
        49:{3,4,6,7}:{(31,1),(33,1),(57,1),(67,1),(68,1),(86,1)}
        50:{3,5,6}:{(32,1),(33,1),(67,1),(69,1)}
        51:{1,4,6}:{(33,1),(34,1),(59,1),(69,1)}
        52:{1,4,5,7}:{(35,1),(36,1),(70,1)}
        53:{3,4,6,7}:{(35,1),(37,1),(57,1),(70,1),(71,1),(86,1)}
        54:{3,5,6}:{(36,1),(37,1),(70,1),(72,1)}
        55:{2,4,6}:{(37,1),(38,1),(60,1),(72,1)}
        56:{1,2,4,5,7}:{(39,1),(40,1),(48,1),(52,1),(73,1),(84,1),(85,1),(95,1),(96,1),(97,1)}
        57:{3,6,7}:{(39,1),(41,1),(73,1),(104,1)}
        58:{3,5,6}:{(40,1),(41,1),(44,1),(73,1),(76,1)}
        59:{1,3,6}:{(41,1),(42,1),(51,1),(79,1)}
        60:{2,3,6}:{(41,1),(43,1),(55,1),(79,1)}
        61:{1,2,5,7}:{(42,1),(43,1),(47,1),(79,1),(82,1)}
        62:{3,4,5}:{(44,1),(76,1),(80,1),(81,1),(99,1)}
        63:{1,3,5}:{(44,1),(45,1),(80,1),(82,1),(99,1)}
        64:{2,3,5}:{(44,1),(46,1),(81,1),(82,1),(99,1)}
        65:{1,2,4,6}:{(45,1),(46,1),(47,1),(79,1),(82,1),(83,1),(100,1)}
        66:{1,2,3,7}:{(47,1),(83,1),(104,1)}
        67:{3,5,7}:{(48,1),(49,1),(50,1),(84,1)}
        68:{1,4,6,7}:{(49,1),(51,1),(74,1),(84,1),(95,1)}
        69:{1,5,6}:{(50,1),(51,1),(84,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{2,4,6,7}:{(53,1),(55,1),(75,1),(85,1),(96,1)}
        72:{2,5,6}:{(54,1),(55,1),(85,1)}
        73:{3,5,7}:{(56,1),(57,1),(58,1),(86,1)}
        74:{1,3,6,7}:{(57,1),(59,1),(68,1),(87,1),(89,1)}
        75:{2,3,6,7}:{(57,1),(60,1),(71,1),(88,1),(89,1)}
        76:{3,4,6}:{(58,1),(62,1),(86,1),(90,1),(91,1),(102,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(69,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(64,1),(72,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,6}:{(59,1),(60,1),(61,1)}
        80:{1,4,5}:{(62,1),(63,1),(90,1)}
        81:{2,4,5}:{(62,1),(64,1),(91,1)}
        82:{1,2,5}:{(63,1),(64,1),(65,1)}
        83:{1,2,3,6}:{(65,1),(66,1),(94,1),(102,1)}
        84:{1,5,7}:{(67,1),(68,1),(69,1)}
        85:{2,5,7}:{(70,1),(71,1),(72,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,3,5,7}:{(73,1),(74,1),(77,1),(84,1),(95,1),(97,1),(104,1)}
        88:{2,3,5,7}:{(73,1),(75,1),(78,1),(85,1),(96,1),(97,1),(104,1)}
        89:{1,2,6,7}:{(74,1),(75,1),(79,1),(97,1)}
        90:{1,4,6}:{(76,1),(77,1),(80,1),(95,1)}
        91:{2,4,6}:{(76,1),(78,1),(81,1),(96,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(82,1),(97,1),(98,1)}
        93:{1,2,4,5}:{(80,1),(81,1),(82,1),(98,1),(99,1),(100,1)}
        94:{1,2,3,5}:{(82,1),(83,1),(99,1),(100,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,5,7}:{(87,1),(88,1),(89,1),(92,1),(101,1)}
        98:{1,2,4,6}:{(90,1),(91,1),(92,1),(93,1),(101,1),(102,1)}
        99:{3,5}:{(93,1),(102,1),(103,1)}
       100:{1,2,4}:{(94,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       102:{3,6}:{(98,1),(99,1),(104,1)}
       103:{3,4}:{(99,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1687 :   0:{1,2,3,6}:{(3,1),(4,1),(5,1),(78,1),(132,1)}
         1:{2,3,4,6}:{(5,1),(6,1),(7,1),(22,1),(30,1),(31,1),(76,1),(78,1)}
         2:{1,3,4,6}:{(5,1),(8,1),(9,1),(22,1),(35,1),(36,1),(76,1),(78,1)}
         3:{1,2,3,5}:{(0,1),(11,1),(13,1),(42,1),(46,1),(103,1)}
         4:{1,2,3,7}:{(0,1),(12,1),(112,1),(158,1),(192,1)}
         5:{1,2,4,6}:{(0,1),(1,1),(2,1),(11,1),(12,1),(13,1),(50,1)}
         6:{2,3,4,7}:{(1,1),(12,1),(15,1),(45,1),(56,1),(112,1),(193,1)}
         7:{2,3,5}:{(1,1),(13,1),(14,1),(46,1),(110,1)}
         8:{1,3,4,7}:{(2,1),(12,1),(18,1),(45,1),(62,1),(112,1),(194,1)}
         9:{1,3,5}:{(2,1),(13,1),(17,1),(46,1),(110,1)}
        10:{1,2,3,5,7}:{(3,1),(4,1),(23,1),(24,1),(26,1),(70,1),(77,1),(79,1),(129,1),(131,1)}
        11:{1,2,4}:{(3,1),(22,1)}
        12:{1,2,4,7}:{(4,1),(5,1),(6,1),(8,1),(26,1),(210,1)}
        13:{1,2,5}:{(5,1),(7,1),(9,1)}
        14:{2,4,5}:{(7,1),(28,1),(30,1),(139,1)}
        15:{2,3,5,7}:{(6,1),(7,1),(26,1),(29,1),(31,1),(77,1),(211,1),(228,1)}
        16:{2,3,5,6}:{(7,1),(27,1),(30,1),(31,1),(32,1),(40,1),(78,1),(87,1),(140,1)}
        17:{1,4,5}:{(9,1),(33,1),(35,1),(139,1)}
        18:{1,3,5,7}:{(8,1),(9,1),(26,1),(34,1),(36,1),(77,1),(212,1),(229,1)}
        19:{1,3,5,6}:{(9,1),(27,1),(35,1),(36,1),(37,1),(38,1),(78,1),(93,1),(140,1)}
        20:{1,4,5,6}:{(35,1),(38,1),(39,1),(93,1),(149,1)}
        21:{2,4,5,6}:{(30,1),(40,1),(41,1),(87,1),(145,1)}
        22:{3,4}:{(11,1),(46,1)}
        23:{1,2,3,6}:{(10,1),(47,1),(50,1),(111,1),(157,1)}
        24:{1,2,4,7}:{(10,1),(11,1),(45,1),(47,1),(155,1)}
        25:{1,2,4,5}:{(11,1),(13,1),(14,1),(17,1),(46,1),(49,1),(52,1),(58,1),(103,1)}
        26:{1,2,5,7}:{(12,1),(13,1),(15,1),(18,1),(50,1),(221,1),(230,1)}
        27:{1,2,5,6}:{(13,1),(16,1),(19,1),(49,1),(50,1),(51,1),(64,1),(67,1)}
        28:{3,4,5}:{(14,1),(46,1),(52,1),(54,1)}
        29:{2,4,5,7}:{(14,1),(15,1),(53,1),(55,1),(56,1),(119,1),(201,1),(226,1)}
        30:{2,4,6}:{(14,1),(16,1),(54,1),(56,1),(165,1)}
        31:{2,3,6}:{(15,1),(50,1),(55,1),(111,1)}
        32:{2,3,5,7}:{(16,1),(51,1),(56,1),(57,1),(68,1),(112,1),(119,1),(166,1)}
        33:{3,4,5}:{(17,1),(46,1),(58,1),(60,1)}
        34:{1,4,5,7}:{(17,1),(18,1),(59,1),(61,1),(62,1),(124,1),(198,1),(225,1)}
        35:{1,4,6}:{(17,1),(19,1),(60,1),(62,1),(165,1)}
        36:{1,3,6}:{(18,1),(50,1),(61,1),(111,1)}
        37:{1,3,5,7}:{(19,1),(51,1),(62,1),(63,1),(65,1),(112,1),(124,1),(166,1)}
        38:{3,5,6}:{(20,1),(60,1),(64,1),(65,1)}
        39:{1,4,5,7}:{(20,1),(62,1),(65,1),(66,1),(124,1),(172,1)}
        40:{3,5,6}:{(21,1),(54,1),(67,1),(68,1)}
        41:{2,4,5,7}:{(21,1),(56,1),(68,1),(69,1),(119,1),(169,1)}
        42:{1,2,3}:{(71,1)}
        43:{2,3,4}:{(22,1),(71,1),(73,1)}
        44:{1,3,4}:{(22,1),(71,1),(75,1)}
        45:{3,4,7}:{(22,1),(24,1),(76,1),(77,1),(175,1),(185,1)}
        46:{3,5}:{(22,1),(25,1),(78,1)}
        47:{1,2,4,6}:{(23,1),(24,1),(76,1),(79,1)}
        48:{1,2,4,5,7}:{(24,1),(25,1),(26,1),(29,1),(34,1),(77,1),(79,1),(80,1),(81,1),(83,1),(89,1),(131,1),(139,1),(142,1),(176,1),(185,1),(214,1)}
        49:{1,2,4,6}:{(25,1),(27,1),(30,1),(35,1),(78,1),(81,1),(84,1),(90,1),(132,1)}
        50:{1,2,6}:{(26,1),(31,1),(36,1)}
        51:{1,2,5,7}:{(27,1),(32,1),(37,1),(81,1),(82,1),(95,1),(98,1)}
        52:{1,4,5}:{(28,1),(75,1),(84,1)}
        53:{3,4,5,7}:{(28,1),(29,1),(77,1),(83,1),(85,1),(86,1),(139,1),(146,1),(182,1),(185,1),(218,1)}
        54:{3,4,6}:{(28,1),(30,1),(40,1),(78,1),(84,1),(86,1)}
        55:{2,4,6}:{(29,1),(31,1),(85,1),(87,1)}
        56:{2,4,7}:{(30,1),(32,1),(86,1),(185,1)}
        57:{2,3,6,7}:{(31,1),(32,1),(82,1),(88,1),(99,1),(141,1),(228,1)}
        58:{2,4,5}:{(33,1),(73,1),(90,1)}
        59:{3,4,5,7}:{(33,1),(34,1),(77,1),(89,1),(91,1),(92,1),(139,1),(150,1),(179,1),(185,1),(216,1)}
        60:{3,4,6}:{(33,1),(35,1),(38,1),(78,1),(90,1),(92,1)}
        61:{1,4,6}:{(34,1),(36,1),(91,1),(93,1)}
        62:{1,4,7}:{(35,1),(37,1),(92,1),(185,1)}
        63:{1,3,6,7}:{(36,1),(37,1),(82,1),(94,1),(96,1),(141,1),(229,1)}
        64:{2,5,6}:{(38,1),(90,1),(95,1)}
        65:{3,5,7}:{(38,1),(39,1),(92,1),(95,1),(96,1)}
        66:{1,4,6,7}:{(39,1),(96,1),(97,1),(152,1)}
        67:{1,5,6}:{(40,1),(84,1),(98,1)}
        68:{3,5,7}:{(40,1),(41,1),(86,1),(98,1),(99,1)}
        69:{2,4,6,7}:{(41,1),(99,1),(100,1),(154,1)}
        70:{1,2,3,7}:{(42,1),(101,1),(102,1),(224,1),(230,1)}
        71:{1,2,4}:{(42,1),(43,1),(44,1),(103,1)}
        72:{2,3,4,7}:{(43,1),(45,1),(102,1),(104,1),(105,1),(200,1),(224,1)}
        73:{2,3,5}:{(43,1),(46,1),(58,1),(103,1),(106,1)}
        74:{1,3,4,7}:{(44,1),(45,1),(102,1),(107,1),(108,1),(203,1),(224,1)}
        75:{1,3,5}:{(44,1),(46,1),(52,1),(103,1),(109,1)}
        76:{3,4,6}:{(45,1),(47,1),(110,1),(111,1),(165,1)}
        77:{3,5,7}:{(45,1),(46,1),(48,1),(110,1),(111,1),(112,1),(195,1),(224,1)}
        78:{3,6}:{(46,1),(49,1),(112,1)}
        79:{1,2,5}:{(47,1),(110,1)}
        80:{1,2,4,6}:{(48,1),(50,1),(55,1),(61,1),(111,1),(113,1),(115,1),(120,1),(157,1),(165,1)}
        81:{1,2,4,7}:{(49,1),(51,1),(56,1),(62,1),(112,1),(116,1),(121,1),(158,1)}
        82:{1,2,6,7}:{(50,1),(51,1),(57,1),(63,1),(125,1),(127,1),(230,1)}
        83:{1,4,5,7}:{(52,1),(53,1),(108,1),(115,1),(116,1),(162,1),(168,1),(203,1)}
        84:{1,4,6}:{(52,1),(54,1),(67,1),(109,1),(116,1)}
        85:{3,4,6}:{(53,1),(55,1),(111,1),(115,1),(117,1),(165,1)}
        86:{3,4,7}:{(54,1),(56,1),(68,1),(112,1),(116,1)}
        87:{2,5,6}:{(55,1),(117,1),(119,1)}
        88:{2,4,6,7}:{(55,1),(56,1),(57,1),(118,1),(119,1),(209,1),(226,1)}
        89:{2,4,5,7}:{(58,1),(59,1),(105,1),(120,1),(121,1),(159,1),(171,1),(200,1)}
        90:{2,4,6}:{(58,1),(60,1),(64,1),(106,1),(121,1)}
        91:{3,4,6}:{(59,1),(61,1),(111,1),(120,1),(122,1),(165,1)}
        92:{3,4,7}:{(60,1),(62,1),(65,1),(112,1),(121,1)}
        93:{1,5,6}:{(61,1),(122,1),(124,1)}
        94:{1,4,6,7}:{(61,1),(62,1),(63,1),(123,1),(124,1),(208,1),(225,1)}
        95:{2,5,7}:{(64,1),(65,1),(121,1),(125,1)}
        96:{3,6,7}:{(65,1),(66,1),(125,1)}
        97:{1,5,6,7}:{(66,1),(124,1),(126,1),(208,1)}
        98:{1,5,7}:{(67,1),(68,1),(116,1),(127,1)}
        99:{3,6,7}:{(68,1),(69,1),(127,1)}
       100:{2,5,6,7}:{(69,1),(119,1),(128,1),(209,1)}
       101:{1,2,3,6}:{(70,1),(129,1),(130,1),(213,1),(227,1)}
       102:{1,2,4,7}:{(70,1),(71,1),(72,1),(74,1),(130,1),(131,1)}
       103:{1,2,5}:{(71,1),(73,1),(75,1),(132,1)}
       104:{2,3,4,6}:{(72,1),(76,1),(130,1),(133,1),(134,1),(175,1),(180,1),(213,1)}
       105:{2,3,5,7}:{(72,1),(73,1),(77,1),(89,1),(131,1),(133,1),(134,1),(135,1)}
       106:{2,3,6}:{(73,1),(78,1),(90,1),(132,1),(135,1)}
       107:{1,3,4,6}:{(74,1),(76,1),(130,1),(136,1),(137,1),(175,1),(183,1),(213,1)}
       108:{1,3,5,7}:{(74,1),(75,1),(77,1),(83,1),(131,1),(136,1),(137,1),(138,1)}
       109:{1,3,6}:{(75,1),(78,1),(84,1),(132,1),(138,1)}
       110:{3,5}:{(76,1),(79,1),(139,1)}
       111:{3,6}:{(77,1),(80,1)}
       112:{3,7}:{(78,1),(81,1)}
       113:{1,2,5,6}:{(79,1),(80,1),(87,1),(93,1),(140,1),(142,1),(143,1),(147,1)}
       114:{1,2,4,6,7}:{(80,1),(81,1),(82,1),(88,1),(94,1),(141,1),(142,1),(144,1),(148,1),(178,1),(185,1),(214,1)}
       115:{1,4,6}:{(83,1),(85,1),(137,1),(143,1)}
       116:{1,4,7}:{(84,1),(86,1),(98,1),(138,1)}
       117:{3,5,6}:{(85,1),(87,1),(143,1),(145,1),(146,1)}
       118:{3,4,6,7}:{(85,1),(86,1),(88,1),(99,1),(141,1),(144,1),(146,1),(154,1),(185,1),(191,1),(218,1)}
       119:{2,5,7}:{(87,1),(88,1),(146,1)}
       120:{2,4,6}:{(89,1),(91,1),(134,1),(147,1)}
       121:{2,4,7}:{(90,1),(92,1),(95,1),(135,1)}
       122:{3,5,6}:{(91,1),(93,1),(147,1),(149,1),(150,1)}
       123:{3,4,6,7}:{(91,1),(92,1),(94,1),(96,1),(141,1),(148,1),(150,1),(152,1),(185,1),(190,1),(216,1)}
       124:{1,5,7}:{(93,1),(94,1),(150,1)}
       125:{2,6,7}:{(95,1),(96,1)}
       126:{3,5,6,7}:{(96,1),(97,1),(150,1),(151,1),(152,1),(190,1)}
       127:{1,6,7}:{(98,1),(99,1)}
       128:{3,5,6,7}:{(99,1),(100,1),(146,1),(153,1),(154,1),(191,1)}
       129:{1,2,3,5}:{(101,1),(155,1),(156,1),(192,1),(195,1),(221,1)}
       130:{1,2,4,6}:{(101,1),(102,1),(104,1),(107,1),(155,1),(156,1),(157,1)}
       131:{1,2,5,7}:{(102,1),(103,1),(105,1),(108,1),(156,1),(157,1),(158,1)}
       132:{1,2,6}:{(103,1),(106,1),(109,1),(158,1)}
       133:{2,3,5}:{(104,1),(110,1),(156,1),(159,1),(195,1)}
       134:{2,3,6}:{(105,1),(111,1),(120,1),(157,1)}
       135:{2,3,7}:{(106,1),(112,1),(121,1),(158,1)}
       136:{1,3,5}:{(107,1),(110,1),(156,1),(162,1),(195,1)}
       137:{1,3,6}:{(108,1),(111,1),(115,1),(157,1)}
       138:{1,3,7}:{(109,1),(112,1),(116,1),(158,1)}
       139:{4,5}:{(110,1),(165,1)}
       140:{3,5,6}:{(110,1),(111,1),(113,1),(165,1),(166,1)}
       141:{3,6,7}:{(111,1),(112,1),(114,1),(166,1),(224,1)}
       142:{1,2,5,7}:{(113,1),(114,1),(119,1),(124,1),(166,1),(168,1),(171,1)}
       143:{1,5,6}:{(115,1),(117,1),(168,1)}
       144:{1,4,6,7}:{(115,1),(116,1),(118,1),(127,1),(164,1),(168,1),(203,1)}
       145:{4,5,6}:{(117,1),(165,1),(169,1)}
       146:{3,5,7}:{(117,1),(118,1),(119,1),(168,1),(169,1)}
       147:{2,5,6}:{(120,1),(122,1),(171,1)}
       148:{2,4,6,7}:{(120,1),(121,1),(123,1),(125,1),(161,1),(171,1),(200,1)}
       149:{4,5,6}:{(122,1),(165,1),(172,1)}
       150:{3,5,7}:{(122,1),(123,1),(124,1),(171,1),(172,1)}
       151:{2,5,6,7}:{(125,1),(126,1),(171,1),(173,1)}
       152:{4,6,7}:{(126,1),(172,1)}
       153:{1,5,6,7}:{(127,1),(128,1),(168,1),(174,1)}
       154:{4,6,7}:{(128,1),(169,1)}
       155:{1,2,4}:{(129,1),(175,1)}
       156:{1,2,5}:{(130,1),(133,1),(136,1)}
       157:{1,2,6}:{(131,1),(134,1),(137,1)}
       158:{1,2,7}:{(132,1),(135,1),(138,1)}
       159:{2,4,5}:{(133,1),(139,1),(179,1),(180,1)}
       160:{2,3,5,6}:{(133,1),(134,1),(140,1),(147,1),(177,1),(180,1),(181,1),(188,1),(213,1)}
       161:{2,3,6,7}:{(134,1),(135,1),(141,1),(148,1),(178,1),(181,1),(190,1)}
       162:{1,4,5}:{(136,1),(139,1),(182,1),(183,1)}
       163:{1,3,5,6}:{(136,1),(137,1),(140,1),(143,1),(177,1),(183,1),(184,1),(186,1),(213,1)}
       164:{1,3,6,7}:{(137,1),(138,1),(141,1),(144,1),(178,1),(184,1),(191,1)}
       165:{4,6}:{(139,1),(140,1),(185,1)}
       166:{3,5,7}:{(140,1),(141,1),(142,1),(185,1)}
       167:{1,4,5,6}:{(143,1),(145,1),(183,1),(186,1),(187,1)}
       168:{1,5,7}:{(143,1),(144,1),(146,1)}
       169:{4,5,7}:{(145,1),(146,1),(154,1),(185,1)}
       170:{2,4,5,6}:{(147,1),(149,1),(180,1),(188,1),(189,1)}
       171:{2,5,7}:{(147,1),(148,1),(150,1)}
       172:{4,5,7}:{(149,1),(150,1),(152,1),(185,1)}
       173:{2,4,6,7}:{(151,1),(152,1),(189,1),(190,1)}
       174:{1,4,6,7}:{(153,1),(154,1),(187,1),(191,1)}
       175:{3,4}:{(155,1),(195,1)}
       176:{1,2,4,5}:{(155,1),(156,1),(159,1),(162,1),(195,1),(196,1),(198,1),(201,1),(221,1)}
       177:{1,2,5,6}:{(156,1),(157,1),(160,1),(163,1),(196,1),(197,1),(204,1),(206,1)}
       178:{1,2,6,7}:{(157,1),(158,1),(161,1),(164,1),(197,1),(208,1),(209,1)}
       179:{3,4,5}:{(159,1),(195,1),(198,1),(199,1)}
       180:{2,4,6}:{(159,1),(160,1),(165,1),(199,1),(200,1)}
       181:{2,3,5,7}:{(160,1),(161,1),(166,1),(171,1),(197,1),(200,1),(207,1),(224,1)}
       182:{3,4,5}:{(162,1),(195,1),(201,1),(202,1)}
       183:{1,4,6}:{(162,1),(163,1),(165,1),(202,1),(203,1)}
       184:{1,3,5,7}:{(163,1),(164,1),(166,1),(168,1),(197,1),(203,1),(205,1),(224,1)}
       185:{4,7}:{(165,1),(166,1)}
       186:{3,5,6}:{(167,1),(202,1),(204,1),(205,1)}
       187:{1,4,5,7}:{(167,1),(168,1),(169,1),(174,1),(203,1),(205,1)}
       188:{3,5,6}:{(170,1),(199,1),(206,1),(207,1)}
       189:{2,4,5,7}:{(170,1),(171,1),(172,1),(173,1),(200,1),(207,1)}
       190:{3,6,7}:{(173,1),(207,1),(208,1)}
       191:{3,6,7}:{(174,1),(205,1),(209,1)}
       192:{1,2,3}:{(210,1)}
       193:{2,3,4}:{(175,1),(210,1),(211,1)}
       194:{1,3,4}:{(175,1),(210,1),(212,1)}
       195:{3,5}:{(175,1),(176,1),(213,1)}
       196:{1,2,4,6}:{(176,1),(177,1),(180,1),(183,1),(213,1),(214,1),(215,1),(217,1),(227,1)}
       197:{1,2,5,7}:{(177,1),(178,1),(181,1),(184,1),(214,1),(219,1),(220,1)}
       198:{1,4,5}:{(179,1),(212,1),(215,1)}
       199:{3,4,6}:{(179,1),(180,1),(188,1),(213,1),(215,1),(216,1)}
       200:{2,4,7}:{(180,1),(181,1),(185,1),(216,1)}
       201:{2,4,5}:{(182,1),(211,1),(217,1)}
       202:{3,4,6}:{(182,1),(183,1),(186,1),(213,1),(217,1),(218,1)}
       203:{1,4,7}:{(183,1),(184,1),(185,1),(218,1)}
       204:{2,5,6}:{(186,1),(217,1),(219,1)}
       205:{3,5,7}:{(186,1),(187,1),(191,1),(218,1),(219,1)}
       206:{1,5,6}:{(188,1),(215,1),(220,1)}
       207:{3,5,7}:{(188,1),(189,1),(190,1),(216,1),(220,1)}
       208:{1,6,7}:{(190,1),(220,1)}
       209:{2,6,7}:{(191,1),(219,1)}
       210:{1,2,4}:{(192,1),(193,1),(194,1),(221,1)}
       211:{2,3,5}:{(193,1),(195,1),(201,1),(221,1),(222,1)}
       212:{1,3,5}:{(194,1),(195,1),(198,1),(221,1),(223,1)}
       213:{3,6}:{(195,1),(196,1),(224,1)}
       214:{1,2,4,7}:{(196,1),(197,1),(200,1),(203,1),(224,1),(225,1),(226,1),(230,1)}
       215:{1,4,6}:{(198,1),(199,1),(206,1),(223,1),(225,1)}
       216:{3,4,7}:{(199,1),(200,1),(207,1),(224,1),(225,1)}
       217:{2,4,6}:{(201,1),(202,1),(204,1),(222,1),(226,1)}
       218:{3,4,7}:{(202,1),(203,1),(205,1),(224,1),(226,1)}
       219:{2,5,7}:{(204,1),(205,1),(209,1),(226,1)}
       220:{1,5,7}:{(206,1),(207,1),(208,1),(225,1)}
       221:{1,2,5}:{(210,1),(211,1),(212,1),(227,1)}
       222:{2,3,6}:{(211,1),(213,1),(217,1),(227,1),(228,1)}
       223:{1,3,6}:{(212,1),(213,1),(215,1),(227,1),(229,1)}
       224:{3,7}:{(213,1),(214,1)}
       225:{1,4,7}:{(215,1),(216,1),(220,1),(229,1)}
       226:{2,4,7}:{(217,1),(218,1),(219,1),(228,1)}
       227:{1,2,6}:{(221,1),(222,1),(223,1),(230,1)}
       228:{2,3,7}:{(222,1),(224,1),(226,1),(230,1)}
       229:{1,3,7}:{(223,1),(224,1),(225,1),(230,1)}
       230:{1,2,7}:{(227,1),(228,1),(229,1)}

1688 :   0:{1,3,4,5,7}:{(4,1),(5,1),(7,1),(51,1),(65,1),(97,1),(104,1),(109,1),(112,1),(117,1)}
         1:{1,3,4,6,7}:{(5,1),(6,1),(7,1),(9,1),(32,1),(65,1),(70,1)}
         2:{1,3,5,6,7}:{(7,1),(8,1),(9,1),(10,1),(32,1),(108,1)}
         3:{1,4,5,6,7}:{(9,1),(10,1),(158,1)}
         4:{1,2,4,5,7}:{(0,1),(11,1),(12,1),(15,1),(34,1),(44,1),(75,1),(79,1)}
         5:{1,3,4,6}:{(0,1),(12,1),(13,1),(80,1),(135,1),(138,1),(143,1)}
         6:{1,2,4,6,7}:{(1,1),(12,1),(14,1),(15,1),(44,1)}
         7:{1,3,5,7}:{(1,1),(13,1),(15,1),(16,1),(45,1),(95,1)}
         8:{1,2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(20,1),(84,1),(95,1)}
         9:{1,4,6,7}:{(2,1),(16,1),(19,1),(135,1)}
        10:{3,5,6,7}:{(3,1),(19,1),(20,1),(180,1)}
        11:{2,3,5,7}:{(4,1),(22,1),(23,1),(56,1),(112,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(23,1),(24,1),(57,1)}
        13:{1,3,5,6}:{(5,1),(7,1),(24,1),(25,1),(58,1),(97,1),(120,1)}
        14:{2,3,6,7}:{(6,1),(23,1),(28,1),(32,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(24,1),(28,1)}
        16:{1,4,5,7}:{(7,1),(9,1),(25,1),(30,1)}
        17:{2,3,5,6,7}:{(8,1),(28,1),(31,1),(32,1),(63,1),(69,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(29,1),(31,1),(32,1),(33,1),(70,1),(71,1),(111,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(30,1),(32,1),(33,1),(160,1)}
        20:{2,5,6,7}:{(10,1),(33,1),(196,1)}
        21:{1,2,3,5,7}:{(11,1),(34,1),(35,1),(72,1),(75,1)}
        22:{2,3,4,7}:{(11,1),(34,1),(37,1),(44,1),(86,1)}
        23:{2,3,6}:{(11,1),(12,1),(138,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(15,1),(38,1),(75,1)}
        25:{1,4,5,6}:{(13,1),(16,1),(40,1),(123,1),(135,1)}
        26:{1,2,3,6,7}:{(14,1),(35,1),(41,1),(42,1),(49,1),(121,1),(138,1),(184,1),(185,1)}
        27:{2,3,4,6,7}:{(14,1),(37,1),(41,1),(43,1),(44,1),(48,1),(86,1),(88,1),(138,1)}
        28:{2,3,5,7}:{(14,1),(15,1),(38,1),(44,1),(45,1)}
        29:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(46,1),(47,1),(90,1),(92,1),(95,1)}
        30:{3,4,5,7}:{(16,1),(19,1),(40,1),(45,1),(46,1)}
        31:{2,4,6,7}:{(17,1),(44,1),(47,1),(48,1),(88,1)}
        32:{3,6,7}:{(18,1),(45,1),(138,1)}
        33:{2,4,6,7}:{(19,1),(20,1),(46,1),(50,1),(182,1)}
        34:{1,2,4,7}:{(21,1),(22,1),(51,1),(53,1)}
        35:{1,2,3,6}:{(21,1),(23,1),(53,1),(96,1)}
        36:{2,3,4,5,7}:{(22,1),(52,1),(55,1),(56,1),(64,1),(102,1),(112,1),(148,1),(161,1),(186,1)}
        37:{2,3,4,6}:{(22,1),(23,1),(53,1),(56,1),(57,1),(101,1)}
        38:{2,3,5,6}:{(23,1),(24,1),(28,1),(56,1),(57,1),(58,1)}
        39:{1,2,4,5,6}:{(24,1),(25,1),(29,1),(57,1),(58,1),(59,1),(68,1),(100,1),(105,1),(107,1),(111,1),(120,1)}
        40:{3,4,5,6}:{(25,1),(30,1),(58,1),(59,1),(148,1),(160,1)}
        41:{1,2,4,6,7}:{(26,1),(27,1),(53,1),(60,1),(61,1),(62,1),(70,1),(111,1),(197,1)}
        42:{1,2,3,5,7}:{(26,1),(28,1),(54,1),(61,1),(62,1),(66,1),(112,1),(146,1),(165,1),(166,1),(191,1)}
        43:{2,3,5,7}:{(27,1),(56,1),(61,1),(63,1),(64,1),(69,1),(112,1)}
        44:{2,4,7}:{(28,1),(57,1),(65,1)}
        45:{3,5,7}:{(29,1),(32,1),(58,1),(65,1)}
        46:{2,4,5,7}:{(30,1),(33,1),(59,1),(67,1)}
        47:{2,4,5,7}:{(31,1),(68,1),(69,1)}
        48:{3,4,6,7}:{(31,1),(32,1),(65,1),(69,1),(70,1),(116,1)}
        49:{1,3,6,7}:{(32,1),(66,1),(70,1),(71,1),(163,1)}
        50:{2,3,6,7}:{(32,1),(33,1),(67,1),(71,1),(164,1)}
        51:{1,3,4,7}:{(34,1),(72,1),(73,1),(86,1),(168,1)}
        52:{1,2,4,5,7}:{(34,1),(36,1),(72,1),(74,1),(75,1),(123,1),(124,1),(168,1)}
        53:{1,2,4,6}:{(34,1),(35,1),(37,1),(73,1),(75,1)}
        54:{1,2,3,5,6}:{(35,1),(38,1),(42,1),(75,1),(76,1),(81,1),(84,1),(122,1),(126,1),(138,1),(174,1),(175,1),(176,1),(185,1)}
        55:{2,3,4,6}:{(36,1),(74,1),(78,1),(88,1),(138,1),(169,1),(182,1)}
        56:{2,3,5}:{(37,1),(75,1),(79,1),(126,1)}
        57:{2,4,6}:{(38,1),(44,1),(79,1),(80,1)}
        58:{3,5,6}:{(39,1),(45,1),(80,1),(126,1),(138,1)}
        59:{2,4,5,6}:{(40,1),(46,1),(82,1),(171,1),(182,1)}
        60:{1,3,4,6,7}:{(41,1),(73,1),(83,1),(86,1),(121,1),(135,1),(138,1),(168,1),(181,1)}
        61:{1,2,5,7}:{(41,1),(43,1),(75,1),(83,1),(84,1),(95,1),(205,1)}
        62:{1,2,4,7}:{(42,1),(44,1),(76,1),(86,1),(90,1),(168,1),(200,1)}
        63:{2,3,5,6}:{(43,1),(84,1),(88,1),(94,1),(138,1)}
        64:{2,4,5,7}:{(43,1),(44,1),(79,1),(88,1),(89,1)}
        65:{3,4,7}:{(44,1),(45,1),(80,1),(90,1)}
        66:{1,3,5,7}:{(45,1),(49,1),(81,1),(90,1),(92,1),(95,1),(144,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(50,1),(82,1),(91,1),(92,1)}
        68:{2,4,5,6}:{(47,1),(88,1),(94,1)}
        69:{3,5,7}:{(47,1),(48,1),(94,1),(95,1)}
        70:{1,4,6,7}:{(48,1),(49,1),(90,1),(95,1),(143,1)}
        71:{1,2,6,7}:{(49,1),(50,1),(92,1),(185,1)}
        72:{1,3,5,7}:{(51,1),(52,1),(96,1),(97,1),(112,1)}
        73:{1,3,4,6}:{(51,1),(53,1),(96,1),(97,1),(101,1),(147,1)}
        74:{1,2,4,6}:{(52,1),(55,1),(96,1),(99,1),(147,1)}
        75:{1,2,5}:{(53,1),(56,1),(97,1)}
        76:{1,2,4,6}:{(54,1),(57,1),(62,1),(100,1),(101,1),(105,1),(147,1),(188,1)}
        77:{2,3,4,6,7}:{(55,1),(98,1),(102,1),(115,1),(162,1),(186,1),(197,1)}
        78:{2,3,5,6}:{(55,1),(56,1),(99,1),(102,1),(103,1),(150,1),(196,1)}
        79:{2,4,5}:{(56,1),(57,1),(104,1)}
        80:{3,4,6}:{(57,1),(58,1),(65,1),(104,1),(105,1)}
        81:{1,3,5,6}:{(58,1),(66,1),(105,1),(107,1),(120,1),(151,1),(157,1),(163,1)}
        82:{2,3,5,6}:{(58,1),(59,1),(67,1),(106,1),(107,1),(152,1),(164,1)}
        83:{1,3,5,7}:{(60,1),(61,1),(97,1),(108,1),(109,1),(112,1),(195,1)}
        84:{1,2,5,6}:{(61,1),(63,1),(108,1),(111,1),(120,1),(196,1)}
        85:{1,2,4,5,7}:{(61,1),(62,1),(64,1),(100,1),(109,1),(111,1),(112,1),(117,1),(161,1),(165,1)}
        86:{3,4,7}:{(62,1),(101,1),(112,1)}
        87:{2,3,5,6,7}:{(63,1),(102,1),(110,1),(115,1),(119,1),(162,1)}
        88:{2,4,6}:{(63,1),(64,1),(116,1)}
        89:{3,4,5,7}:{(64,1),(65,1),(69,1),(104,1),(112,1),(116,1),(117,1)}
        90:{1,4,7}:{(65,1),(66,1),(105,1)}
        91:{2,3,4,7}:{(65,1),(67,1),(106,1),(118,1)}
        92:{1,2,5,7}:{(66,1),(67,1),(71,1),(107,1),(118,1)}
        93:{2,4,5,6,7}:{(68,1),(115,1),(119,1)}
        94:{3,5,6}:{(68,1),(69,1),(116,1),(120,1)}
        95:{1,5,7}:{(69,1),(70,1),(120,1)}
        96:{1,3,6}:{(72,1),(74,1),(138,1)}
        97:{1,3,5}:{(73,1),(75,1),(123,1),(126,1)}
        98:{1,2,4,6,7}:{(74,1),(77,1),(121,1),(124,1),(168,1)}
        99:{1,2,5,6}:{(74,1),(75,1),(78,1),(122,1),(124,1)}
       100:{1,2,4,5}:{(75,1),(76,1),(79,1),(123,1),(126,1),(131,1),(171,1),(175,1)}
       101:{3,4,6}:{(76,1),(86,1),(126,1),(138,1)}
       102:{2,3,5,7}:{(77,1),(78,1),(124,1),(129,1),(172,1),(205,1)}
       103:{2,4,5,6}:{(78,1),(79,1),(88,1),(129,1),(130,1)}
       104:{3,4,5}:{(79,1),(80,1),(126,1),(131,1)}
       105:{1,4,6}:{(80,1),(81,1),(90,1),(131,1)}
       106:{2,3,4,6}:{(80,1),(82,1),(91,1),(132,1),(133,1)}
       107:{1,2,5,6}:{(81,1),(82,1),(92,1),(133,1),(175,1),(185,1)}
       108:{1,3,5,6}:{(83,1),(84,1),(135,1),(138,1),(180,1)}
       109:{1,4,5,7}:{(83,1),(123,1),(135,1),(136,1),(168,1)}
       110:{1,2,5,6,7}:{(84,1),(87,1),(124,1),(134,1),(137,1),(145,1),(205,1)}
       111:{1,2,4,6}:{(84,1),(85,1),(88,1),(135,1),(138,1),(143,1),(182,1),(185,1)}
       112:{3,5,7}:{(85,1),(86,1),(126,1),(138,1)}
       113:{1,3,4,7}:{(86,1),(90,1),(127,1),(139,1),(141,1),(144,1)}
       114:{2,3,4,7}:{(86,1),(128,1),(140,1),(141,1),(200,1),(209,1)}
       115:{2,4,6,7}:{(87,1),(88,1),(129,1),(142,1)}
       116:{3,4,6}:{(88,1),(89,1),(94,1),(138,1),(143,1)}
       117:{1,4,5,7}:{(89,1),(90,1),(95,1),(131,1),(139,1),(143,1)}
       118:{1,2,4,7}:{(90,1),(91,1),(92,1),(133,1),(144,1)}
       119:{3,5,6,7}:{(93,1),(94,1),(142,1),(145,1)}
       120:{1,5,6}:{(94,1),(95,1),(143,1)}
       121:{1,3,6,7}:{(96,1),(98,1),(146,1),(162,1)}
       122:{1,3,5,6}:{(96,1),(97,1),(99,1),(146,1),(147,1),(150,1)}
       123:{1,4,5}:{(97,1),(147,1),(148,1)}
       124:{1,2,5,7}:{(98,1),(99,1),(102,1),(146,1)}
       125:{1,2,4,5,6}:{(99,1),(100,1),(103,1),(111,1),(147,1),(149,1),(150,1),(155,1),(158,1),(188,1),(192,1),(196,1)}
       126:{3,5}:{(100,1),(101,1)}
       127:{1,3,4,6}:{(101,1),(105,1),(113,1),(151,1),(153,1),(157,1),(163,1),(194,1)}
       128:{2,3,4,6}:{(101,1),(114,1),(152,1),(153,1),(164,1),(188,1),(207,1),(208,1)}
       129:{2,4,5,7}:{(102,1),(103,1),(115,1),(154,1)}
       130:{3,4,5,6}:{(103,1),(104,1),(116,1),(150,1),(154,1),(155,1)}
       131:{1,4,5}:{(104,1),(105,1),(151,1)}
       132:{2,3,4,5}:{(104,1),(106,1),(152,1),(156,1),(208,1)}
       133:{1,2,4,6}:{(105,1),(106,1),(107,1),(118,1),(156,1),(157,1)}
       134:{1,3,5,6,7}:{(108,1),(110,1),(146,1),(159,1),(162,1),(195,1)}
       135:{1,4,6}:{(108,1),(109,1),(160,1)}
       136:{3,4,5,7}:{(109,1),(112,1),(148,1),(160,1),(161,1),(186,1),(195,1)}
       137:{1,2,4,6,7}:{(110,1),(111,1),(115,1),(149,1),(159,1),(162,1),(167,1),(197,1),(198,1)}
       138:{3,6}:{(111,1),(112,1)}
       139:{1,3,5,7}:{(112,1),(113,1),(117,1),(151,1),(163,1),(165,1)}
       140:{2,3,5,7}:{(112,1),(114,1),(152,1),(161,1),(164,1),(165,1)}
       141:{1,2,4,7}:{(113,1),(114,1),(153,1),(165,1),(166,1)}
       142:{3,4,6,7}:{(115,1),(116,1),(119,1),(154,1),(162,1),(167,1)}
       143:{1,4,6}:{(116,1),(117,1),(120,1),(163,1)}
       144:{1,3,7}:{(118,1),(157,1)}
       145:{1,5,6,7}:{(119,1),(120,1),(167,1)}
       146:{1,3,5,7}:{(121,1),(122,1),(124,1),(168,1),(172,1)}
       147:{1,4,6}:{(122,1),(123,1),(168,1),(169,1)}
       148:{3,4,5}:{(123,1),(126,1),(169,1),(171,1)}
       149:{1,2,4,5,7}:{(124,1),(125,1),(129,1),(137,1),(168,1),(172,1),(177,1),(179,1),(200,1),(203,1),(205,1)}
       150:{3,5,6}:{(125,1),(126,1),(138,1),(169,1),(172,1)}
       151:{1,3,5}:{(126,1),(127,1),(131,1),(175,1)}
       152:{2,3,5}:{(126,1),(128,1),(171,1),(175,1)}
       153:{1,2,4,6}:{(127,1),(128,1),(141,1),(175,1),(176,1),(185,1),(204,1)}
       154:{3,4,5,7}:{(129,1),(130,1),(142,1),(172,1),(177,1)}
       155:{1,4,5,6}:{(130,1),(131,1),(143,1),(173,1),(177,1)}
       156:{1,2,4,5}:{(131,1),(132,1),(133,1),(175,1),(178,1),(204,1)}
       157:{1,3,6}:{(133,1),(144,1),(178,1)}
       158:{1,4,5,6}:{(135,1),(179,1),(180,1)}
       159:{1,4,6,7}:{(134,1),(135,1),(168,1),(179,1),(181,1)}
       160:{3,4,6}:{(135,1),(136,1),(138,1),(180,1),(182,1)}
       161:{2,4,5,7}:{(136,1),(140,1),(171,1),(182,1),(200,1),(205,1)}
       162:{3,6,7}:{(137,1),(138,1),(172,1)}
       163:{1,3,6}:{(138,1),(139,1),(143,1),(185,1)}
       164:{2,3,6}:{(138,1),(140,1),(182,1),(185,1)}
       165:{1,2,5,7}:{(139,1),(140,1),(141,1),(175,1),(185,1)}
       166:{1,2,3,7}:{(141,1),(144,1),(176,1),(209,1)}
       167:{1,4,6,7}:{(142,1),(143,1),(145,1),(177,1),(183,1)}
       168:{1,4,7}:{(146,1),(147,1),(186,1)}
       169:{3,4,6}:{(147,1),(148,1),(150,1),(186,1),(188,1)}
       170:{1,3,4,5}:{(148,1),(151,1),(187,1),(189,1),(194,1)}
       171:{2,4,5}:{(148,1),(152,1),(188,1)}
       172:{3,5,7}:{(149,1),(150,1),(162,1),(186,1)}
       173:{1,3,5,6}:{(150,1),(151,1),(155,1),(163,1),(187,1),(190,1),(192,1)}
       174:{2,3,5,6}:{(150,1),(152,1),(164,1),(188,1),(191,1),(192,1),(196,1),(207,1)}
       175:{1,2,5}:{(151,1),(152,1),(153,1)}
       176:{1,2,3,6}:{(153,1),(157,1),(166,1),(193,1),(207,1)}
       177:{1,4,5,7}:{(154,1),(155,1),(167,1),(190,1)}
       178:{1,3,5}:{(156,1),(157,1),(194,1)}
       179:{1,4,5,7}:{(158,1),(159,1),(195,1)}
       180:{3,5,6}:{(158,1),(160,1),(195,1),(196,1)}
       181:{3,4,6,7}:{(159,1),(160,1),(162,1),(186,1),(195,1),(197,1)}
       182:{2,4,6}:{(160,1),(161,1),(164,1),(196,1)}
       183:{1,3,6,7}:{(162,1),(163,1),(167,1),(190,1),(198,1)}
       184:{2,3,6,7}:{(162,1),(164,1),(191,1),(197,1),(198,1)}
       185:{1,2,6}:{(163,1),(164,1),(165,1)}
       186:{3,4,7}:{(168,1),(169,1),(172,1),(200,1)}
       187:{1,3,4,6}:{(169,1),(170,1),(173,1),(199,1),(201,1)}
       188:{2,4,6}:{(169,1),(171,1),(174,1),(200,1)}
       189:{1,2,4,5}:{(170,1),(171,1),(175,1),(201,1),(202,1),(204,1)}
       190:{1,3,5,7}:{(172,1),(173,1),(177,1),(183,1),(199,1),(203,1)}
       191:{2,3,5,7}:{(172,1),(174,1),(184,1),(200,1),(203,1),(205,1),(209,1)}
       192:{1,2,5,6}:{(173,1),(174,1),(175,1),(185,1),(201,1),(203,1)}
       193:{1,2,3,5}:{(175,1),(176,1),(178,1),(202,1),(204,1)}
       194:{1,3,4}:{(178,1),(204,1)}
       195:{3,5,7}:{(179,1),(180,1),(181,1),(205,1)}
       196:{2,5,6}:{(180,1),(182,1),(205,1)}
       197:{2,4,6,7}:{(181,1),(182,1),(184,1),(200,1),(205,1)}
       198:{1,2,6,7}:{(183,1),(184,1),(185,1),(203,1)}
       199:{1,3,4,7}:{(186,1),(187,1),(190,1),(206,1)}
       200:{2,4,7}:{(186,1),(188,1),(191,1)}
       201:{1,2,4,6}:{(187,1),(188,1),(189,1),(192,1),(206,1),(207,1)}
       202:{2,3,5}:{(189,1),(207,1),(208,1)}
       203:{1,2,5,7}:{(190,1),(191,1),(192,1),(198,1),(206,1)}
       204:{1,2,4}:{(193,1),(194,1),(208,1)}
       205:{2,5,7}:{(195,1),(196,1),(197,1)}
       206:{1,2,4,7}:{(199,1),(200,1),(201,1),(203,1),(209,1)}
       207:{2,3,6}:{(201,1),(202,1),(209,1)}
       208:{2,3,4}:{(202,1),(204,1)}
       209:{2,3,7}:{(206,1),(207,1)}

1689 :   0:{2,3,4,5,7}:{(4,1),(5,1),(7,1),(51,1),(65,1),(97,1),(104,1),(109,1),(112,1),(117,1)}
         1:{2,3,4,6,7}:{(5,1),(6,1),(7,1),(9,1),(32,1),(65,1),(70,1)}
         2:{2,3,5,6,7}:{(7,1),(8,1),(9,1),(10,1),(32,1),(108,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(158,1)}
         4:{1,2,4,5,7}:{(0,1),(11,1),(12,1),(15,1),(34,1),(44,1),(75,1),(79,1)}
         5:{2,3,4,6}:{(0,1),(12,1),(13,1),(80,1),(135,1),(138,1),(143,1)}
         6:{1,2,4,6,7}:{(1,1),(12,1),(14,1),(15,1),(44,1)}
         7:{2,3,5,7}:{(1,1),(13,1),(15,1),(16,1),(45,1),(95,1)}
         8:{1,2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(20,1),(84,1),(95,1)}
         9:{2,4,6,7}:{(2,1),(16,1),(19,1),(135,1)}
        10:{3,5,6,7}:{(3,1),(19,1),(20,1),(180,1)}
        11:{1,3,5,7}:{(4,1),(22,1),(23,1),(56,1),(112,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(23,1),(24,1),(57,1)}
        13:{2,3,5,6}:{(5,1),(7,1),(24,1),(25,1),(58,1),(97,1),(120,1)}
        14:{1,3,6,7}:{(6,1),(23,1),(28,1),(32,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(24,1),(28,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(25,1),(30,1)}
        17:{1,3,5,6,7}:{(8,1),(28,1),(31,1),(32,1),(63,1),(69,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(29,1),(31,1),(32,1),(33,1),(70,1),(71,1),(111,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(30,1),(32,1),(33,1),(160,1)}
        20:{1,5,6,7}:{(10,1),(33,1),(196,1)}
        21:{1,2,3,5,7}:{(11,1),(34,1),(35,1),(72,1),(75,1)}
        22:{1,3,4,7}:{(11,1),(34,1),(37,1),(44,1),(86,1)}
        23:{1,3,6}:{(11,1),(12,1),(138,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(15,1),(38,1),(75,1)}
        25:{2,4,5,6}:{(13,1),(16,1),(40,1),(123,1),(135,1)}
        26:{1,2,3,6,7}:{(14,1),(35,1),(41,1),(42,1),(50,1),(121,1),(138,1),(183,1),(185,1)}
        27:{1,3,4,6,7}:{(14,1),(37,1),(41,1),(43,1),(44,1),(48,1),(86,1),(88,1),(138,1)}
        28:{1,3,5,7}:{(14,1),(15,1),(38,1),(44,1),(45,1)}
        29:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(39,1),(44,1),(45,1),(46,1),(47,1),(91,1),(92,1),(95,1)}
        30:{3,4,5,7}:{(16,1),(19,1),(40,1),(45,1),(46,1)}
        31:{1,4,6,7}:{(17,1),(44,1),(47,1),(48,1),(88,1)}
        32:{3,6,7}:{(18,1),(45,1),(138,1)}
        33:{1,4,6,7}:{(19,1),(20,1),(46,1),(49,1),(182,1)}
        34:{1,2,4,7}:{(21,1),(22,1),(51,1),(53,1)}
        35:{1,2,3,6}:{(21,1),(23,1),(53,1),(96,1)}
        36:{1,3,4,5,7}:{(22,1),(52,1),(55,1),(56,1),(64,1),(102,1),(112,1),(148,1),(161,1),(186,1)}
        37:{1,3,4,6}:{(22,1),(23,1),(53,1),(56,1),(57,1),(101,1)}
        38:{1,3,5,6}:{(23,1),(24,1),(28,1),(56,1),(57,1),(58,1)}
        39:{1,2,4,5,6}:{(24,1),(25,1),(29,1),(57,1),(58,1),(59,1),(68,1),(100,1),(106,1),(107,1),(111,1),(120,1)}
        40:{3,4,5,6}:{(25,1),(30,1),(58,1),(59,1),(148,1),(160,1)}
        41:{1,2,4,6,7}:{(26,1),(27,1),(53,1),(60,1),(61,1),(62,1),(70,1),(111,1),(197,1)}
        42:{1,2,3,5,7}:{(26,1),(28,1),(54,1),(61,1),(62,1),(67,1),(112,1),(146,1),(165,1),(166,1),(190,1)}
        43:{1,3,5,7}:{(27,1),(56,1),(61,1),(63,1),(64,1),(69,1),(112,1)}
        44:{1,4,7}:{(28,1),(57,1),(65,1)}
        45:{3,5,7}:{(29,1),(32,1),(58,1),(65,1)}
        46:{1,4,5,7}:{(30,1),(33,1),(59,1),(66,1)}
        47:{1,4,5,7}:{(31,1),(68,1),(69,1)}
        48:{3,4,6,7}:{(31,1),(32,1),(65,1),(69,1),(70,1),(116,1)}
        49:{1,3,6,7}:{(32,1),(33,1),(66,1),(71,1),(163,1)}
        50:{2,3,6,7}:{(32,1),(67,1),(70,1),(71,1),(164,1)}
        51:{2,3,4,7}:{(34,1),(72,1),(73,1),(86,1),(168,1)}
        52:{1,2,4,5,7}:{(34,1),(36,1),(72,1),(74,1),(75,1),(123,1),(124,1),(168,1)}
        53:{1,2,4,6}:{(34,1),(35,1),(37,1),(73,1),(75,1)}
        54:{1,2,3,5,6}:{(35,1),(38,1),(42,1),(75,1),(76,1),(82,1),(84,1),(122,1),(126,1),(138,1),(173,1),(175,1),(176,1),(185,1)}
        55:{1,3,4,6}:{(36,1),(74,1),(78,1),(88,1),(138,1),(169,1),(182,1)}
        56:{1,3,5}:{(37,1),(75,1),(79,1),(126,1)}
        57:{1,4,6}:{(38,1),(44,1),(79,1),(80,1)}
        58:{3,5,6}:{(39,1),(45,1),(80,1),(126,1),(138,1)}
        59:{1,4,5,6}:{(40,1),(46,1),(81,1),(170,1),(182,1)}
        60:{2,3,4,6,7}:{(41,1),(73,1),(83,1),(86,1),(121,1),(135,1),(138,1),(168,1),(181,1)}
        61:{1,2,5,7}:{(41,1),(43,1),(75,1),(83,1),(84,1),(95,1),(205,1)}
        62:{1,2,4,7}:{(42,1),(44,1),(76,1),(86,1),(91,1),(168,1),(199,1)}
        63:{1,3,5,6}:{(43,1),(84,1),(88,1),(94,1),(138,1)}
        64:{1,4,5,7}:{(43,1),(44,1),(79,1),(88,1),(89,1)}
        65:{3,4,7}:{(44,1),(45,1),(80,1),(91,1)}
        66:{1,3,5,7}:{(45,1),(46,1),(49,1),(81,1),(90,1),(92,1)}
        67:{2,3,5,7}:{(45,1),(50,1),(82,1),(91,1),(92,1),(95,1),(144,1)}
        68:{1,4,5,6}:{(47,1),(88,1),(94,1)}
        69:{3,5,7}:{(47,1),(48,1),(94,1),(95,1)}
        70:{2,4,6,7}:{(48,1),(50,1),(91,1),(95,1),(143,1)}
        71:{1,2,6,7}:{(49,1),(50,1),(92,1),(185,1)}
        72:{2,3,5,7}:{(51,1),(52,1),(96,1),(97,1),(112,1)}
        73:{2,3,4,6}:{(51,1),(53,1),(96,1),(97,1),(101,1),(147,1)}
        74:{1,2,4,6}:{(52,1),(55,1),(96,1),(99,1),(147,1)}
        75:{1,2,5}:{(53,1),(56,1),(97,1)}
        76:{1,2,4,6}:{(54,1),(57,1),(62,1),(100,1),(101,1),(106,1),(147,1),(187,1)}
        77:{1,3,4,6,7}:{(55,1),(98,1),(102,1),(115,1),(162,1),(186,1),(197,1)}
        78:{1,3,5,6}:{(55,1),(56,1),(99,1),(102,1),(103,1),(150,1),(196,1)}
        79:{1,4,5}:{(56,1),(57,1),(104,1)}
        80:{3,4,6}:{(57,1),(58,1),(65,1),(104,1),(106,1)}
        81:{1,3,5,6}:{(58,1),(59,1),(66,1),(105,1),(107,1),(151,1),(163,1)}
        82:{2,3,5,6}:{(58,1),(67,1),(106,1),(107,1),(120,1),(152,1),(157,1),(164,1)}
        83:{2,3,5,7}:{(60,1),(61,1),(97,1),(108,1),(109,1),(112,1),(195,1)}
        84:{1,2,5,6}:{(61,1),(63,1),(108,1),(111,1),(120,1),(196,1)}
        85:{1,2,4,5,7}:{(61,1),(62,1),(64,1),(100,1),(109,1),(111,1),(112,1),(117,1),(161,1),(165,1)}
        86:{3,4,7}:{(62,1),(101,1),(112,1)}
        87:{1,3,5,6,7}:{(63,1),(102,1),(110,1),(115,1),(119,1),(162,1)}
        88:{1,4,6}:{(63,1),(64,1),(116,1)}
        89:{3,4,5,7}:{(64,1),(65,1),(69,1),(104,1),(112,1),(116,1),(117,1)}
        90:{1,3,4,7}:{(65,1),(66,1),(105,1),(118,1)}
        91:{2,4,7}:{(65,1),(67,1),(106,1)}
        92:{1,2,5,7}:{(66,1),(67,1),(71,1),(107,1),(118,1)}
        93:{1,4,5,6,7}:{(68,1),(115,1),(119,1)}
        94:{3,5,6}:{(68,1),(69,1),(116,1),(120,1)}
        95:{2,5,7}:{(69,1),(70,1),(120,1)}
        96:{2,3,6}:{(72,1),(74,1),(138,1)}
        97:{2,3,5}:{(73,1),(75,1),(123,1),(126,1)}
        98:{1,2,4,6,7}:{(74,1),(77,1),(121,1),(124,1),(168,1)}
        99:{1,2,5,6}:{(74,1),(75,1),(78,1),(122,1),(124,1)}
       100:{1,2,4,5}:{(75,1),(76,1),(79,1),(123,1),(126,1),(132,1),(170,1),(175,1)}
       101:{3,4,6}:{(76,1),(86,1),(126,1),(138,1)}
       102:{1,3,5,7}:{(77,1),(78,1),(124,1),(129,1),(172,1),(205,1)}
       103:{1,4,5,6}:{(78,1),(79,1),(88,1),(129,1),(130,1)}
       104:{3,4,5}:{(79,1),(80,1),(126,1),(132,1)}
       105:{1,3,4,6}:{(80,1),(81,1),(90,1),(131,1),(133,1)}
       106:{2,4,6}:{(80,1),(82,1),(91,1),(132,1)}
       107:{1,2,5,6}:{(81,1),(82,1),(92,1),(133,1),(175,1),(185,1)}
       108:{2,3,5,6}:{(83,1),(84,1),(135,1),(138,1),(180,1)}
       109:{2,4,5,7}:{(83,1),(123,1),(135,1),(136,1),(168,1)}
       110:{1,2,5,6,7}:{(84,1),(87,1),(124,1),(134,1),(137,1),(145,1),(205,1)}
       111:{1,2,4,6}:{(84,1),(85,1),(88,1),(135,1),(138,1),(143,1),(182,1),(185,1)}
       112:{3,5,7}:{(85,1),(86,1),(126,1),(138,1)}
       113:{1,3,4,7}:{(86,1),(127,1),(139,1),(141,1),(199,1),(209,1)}
       114:{2,3,4,7}:{(86,1),(91,1),(128,1),(140,1),(141,1),(144,1)}
       115:{1,4,6,7}:{(87,1),(88,1),(129,1),(142,1)}
       116:{3,4,6}:{(88,1),(89,1),(94,1),(138,1),(143,1)}
       117:{2,4,5,7}:{(89,1),(91,1),(95,1),(132,1),(140,1),(143,1)}
       118:{1,2,4,7}:{(90,1),(91,1),(92,1),(133,1),(144,1)}
       119:{3,5,6,7}:{(93,1),(94,1),(142,1),(145,1)}
       120:{2,5,6}:{(94,1),(95,1),(143,1)}
       121:{2,3,6,7}:{(96,1),(98,1),(146,1),(162,1)}
       122:{2,3,5,6}:{(96,1),(97,1),(99,1),(146,1),(147,1),(150,1)}
       123:{2,4,5}:{(97,1),(147,1),(148,1)}
       124:{1,2,5,7}:{(98,1),(99,1),(102,1),(146,1)}
       125:{1,2,4,5,6}:{(99,1),(100,1),(103,1),(111,1),(147,1),(149,1),(150,1),(155,1),(158,1),(187,1),(192,1),(196,1)}
       126:{3,5}:{(100,1),(101,1)}
       127:{1,3,4,6}:{(101,1),(113,1),(151,1),(153,1),(163,1),(187,1),(207,1),(208,1)}
       128:{2,3,4,6}:{(101,1),(106,1),(114,1),(152,1),(153,1),(157,1),(164,1),(194,1)}
       129:{1,4,5,7}:{(102,1),(103,1),(115,1),(154,1)}
       130:{3,4,5,6}:{(103,1),(104,1),(116,1),(150,1),(154,1),(155,1)}
       131:{1,3,4,5}:{(104,1),(105,1),(151,1),(156,1),(208,1)}
       132:{2,4,5}:{(104,1),(106,1),(152,1)}
       133:{1,2,4,6}:{(105,1),(106,1),(107,1),(118,1),(156,1),(157,1)}
       134:{2,3,5,6,7}:{(108,1),(110,1),(146,1),(159,1),(162,1),(195,1)}
       135:{2,4,6}:{(108,1),(109,1),(160,1)}
       136:{3,4,5,7}:{(109,1),(112,1),(148,1),(160,1),(161,1),(186,1),(195,1)}
       137:{1,2,4,6,7}:{(110,1),(111,1),(115,1),(149,1),(159,1),(162,1),(167,1),(197,1),(198,1)}
       138:{3,6}:{(111,1),(112,1)}
       139:{1,3,5,7}:{(112,1),(113,1),(151,1),(161,1),(163,1),(165,1)}
       140:{2,3,5,7}:{(112,1),(114,1),(117,1),(152,1),(164,1),(165,1)}
       141:{1,2,4,7}:{(113,1),(114,1),(153,1),(165,1),(166,1)}
       142:{3,4,6,7}:{(115,1),(116,1),(119,1),(154,1),(162,1),(167,1)}
       143:{2,4,6}:{(116,1),(117,1),(120,1),(164,1)}
       144:{2,3,7}:{(118,1),(157,1)}
       145:{2,5,6,7}:{(119,1),(120,1),(167,1)}
       146:{2,3,5,7}:{(121,1),(122,1),(124,1),(168,1),(172,1)}
       147:{2,4,6}:{(122,1),(123,1),(168,1),(169,1)}
       148:{3,4,5}:{(123,1),(126,1),(169,1),(170,1)}
       149:{1,2,4,5,7}:{(124,1),(125,1),(129,1),(137,1),(168,1),(172,1),(177,1),(179,1),(199,1),(203,1),(205,1)}
       150:{3,5,6}:{(125,1),(126,1),(138,1),(169,1),(172,1)}
       151:{1,3,5}:{(126,1),(127,1),(170,1),(175,1)}
       152:{2,3,5}:{(126,1),(128,1),(132,1),(175,1)}
       153:{1,2,4,6}:{(127,1),(128,1),(141,1),(175,1),(176,1),(185,1),(204,1)}
       154:{3,4,5,7}:{(129,1),(130,1),(142,1),(172,1),(177,1)}
       155:{2,4,5,6}:{(130,1),(132,1),(143,1),(174,1),(177,1)}
       156:{1,2,4,5}:{(131,1),(132,1),(133,1),(175,1),(178,1),(204,1)}
       157:{2,3,6}:{(133,1),(144,1),(178,1)}
       158:{2,4,5,6}:{(135,1),(179,1),(180,1)}
       159:{2,4,6,7}:{(134,1),(135,1),(168,1),(179,1),(181,1)}
       160:{3,4,6}:{(135,1),(136,1),(138,1),(180,1),(182,1)}
       161:{1,4,5,7}:{(136,1),(139,1),(170,1),(182,1),(199,1),(205,1)}
       162:{3,6,7}:{(137,1),(138,1),(172,1)}
       163:{1,3,6}:{(138,1),(139,1),(182,1),(185,1)}
       164:{2,3,6}:{(138,1),(140,1),(143,1),(185,1)}
       165:{1,2,5,7}:{(139,1),(140,1),(141,1),(175,1),(185,1)}
       166:{1,2,3,7}:{(141,1),(144,1),(176,1),(209,1)}
       167:{2,4,6,7}:{(142,1),(143,1),(145,1),(177,1),(184,1)}
       168:{2,4,7}:{(146,1),(147,1),(186,1)}
       169:{3,4,6}:{(147,1),(148,1),(150,1),(186,1),(187,1)}
       170:{1,4,5}:{(148,1),(151,1),(187,1)}
       171:{2,3,4,5}:{(148,1),(152,1),(188,1),(189,1),(194,1)}
       172:{3,5,7}:{(149,1),(150,1),(162,1),(186,1)}
       173:{1,3,5,6}:{(150,1),(151,1),(163,1),(187,1),(190,1),(192,1),(196,1),(207,1)}
       174:{2,3,5,6}:{(150,1),(152,1),(155,1),(164,1),(188,1),(191,1),(192,1)}
       175:{1,2,5}:{(151,1),(152,1),(153,1)}
       176:{1,2,3,6}:{(153,1),(157,1),(166,1),(193,1),(207,1)}
       177:{2,4,5,7}:{(154,1),(155,1),(167,1),(191,1)}
       178:{2,3,5}:{(156,1),(157,1),(194,1)}
       179:{2,4,5,7}:{(158,1),(159,1),(195,1)}
       180:{3,5,6}:{(158,1),(160,1),(195,1),(196,1)}
       181:{3,4,6,7}:{(159,1),(160,1),(162,1),(186,1),(195,1),(197,1)}
       182:{1,4,6}:{(160,1),(161,1),(163,1),(196,1)}
       183:{1,3,6,7}:{(162,1),(163,1),(190,1),(197,1),(198,1)}
       184:{2,3,6,7}:{(162,1),(164,1),(167,1),(191,1),(198,1)}
       185:{1,2,6}:{(163,1),(164,1),(165,1)}
       186:{3,4,7}:{(168,1),(169,1),(172,1),(199,1)}
       187:{1,4,6}:{(169,1),(170,1),(173,1),(199,1)}
       188:{2,3,4,6}:{(169,1),(171,1),(174,1),(200,1),(201,1)}
       189:{1,2,4,5}:{(170,1),(171,1),(175,1),(201,1),(202,1),(204,1)}
       190:{1,3,5,7}:{(172,1),(173,1),(183,1),(199,1),(203,1),(205,1),(209,1)}
       191:{2,3,5,7}:{(172,1),(174,1),(177,1),(184,1),(200,1),(203,1)}
       192:{1,2,5,6}:{(173,1),(174,1),(175,1),(185,1),(201,1),(203,1)}
       193:{1,2,3,5}:{(175,1),(176,1),(178,1),(202,1),(204,1)}
       194:{2,3,4}:{(178,1),(204,1)}
       195:{3,5,7}:{(179,1),(180,1),(181,1),(205,1)}
       196:{1,5,6}:{(180,1),(182,1),(205,1)}
       197:{1,4,6,7}:{(181,1),(182,1),(183,1),(199,1),(205,1)}
       198:{1,2,6,7}:{(183,1),(184,1),(185,1),(203,1)}
       199:{1,4,7}:{(186,1),(187,1),(190,1)}
       200:{2,3,4,7}:{(186,1),(188,1),(191,1),(206,1)}
       201:{1,2,4,6}:{(187,1),(188,1),(189,1),(192,1),(206,1),(207,1)}
       202:{1,3,5}:{(189,1),(207,1),(208,1)}
       203:{1,2,5,7}:{(190,1),(191,1),(192,1),(198,1),(206,1)}
       204:{1,2,4}:{(193,1),(194,1),(208,1)}
       205:{1,5,7}:{(195,1),(196,1),(197,1)}
       206:{1,2,4,7}:{(199,1),(200,1),(201,1),(203,1),(209,1)}
       207:{1,3,6}:{(201,1),(202,1),(209,1)}
       208:{1,3,4}:{(202,1),(204,1)}
       209:{1,3,7}:{(206,1),(207,1)}

1690 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(19,1),(20,1),(21,1),(44,1),(76,1),(95,1),(96,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(114,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(16,1),(20,1),(124,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(14,1),(76,1),(100,1),(122,1)}
         4:{1,2,4,5,6}:{(2,1),(10,1),(26,1),(27,1),(31,1)}
         5:{3,5,7}:{(2,1),(3,1),(10,1),(132,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(59,1),(60,1),(88,1),(89,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(59,1),(60,1),(90,1),(91,1),(114,1)}
         8:{3,4,5,7}:{(5,1),(14,1),(15,1),(16,1),(43,1),(100,1),(101,1)}
         9:{1,2,4,5,6,7}:{(4,1),(17,1),(40,1),(41,1),(44,1),(67,1),(109,1)}
        10:{3,5,6}:{(4,1),(5,1),(14,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(15,1),(18,1),(20,1),(43,1),(105,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(16,1),(19,1),(20,1),(43,1),(107,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(42,1),(46,1),(103,1)}
        14:{3,4,6}:{(8,1),(10,1),(26,1),(27,1),(59,1)}
        15:{1,4,5,7}:{(8,1),(11,1),(26,1),(112,1),(113,1)}
        16:{2,4,5,7}:{(8,1),(12,1),(27,1),(114,1),(115,1)}
        17:{3,5,6,7}:{(9,1),(10,1),(25,1),(84,1),(121,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(26,1),(31,1),(59,1)}
        19:{2,3,5,6}:{(10,1),(12,1),(27,1),(31,1),(59,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(31,1),(118,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(59,1),(86,1),(88,1),(90,1)}
        22:{3,4,5,6}:{(14,1),(33,1),(34,1),(35,1),(68,1),(101,1),(127,1)}
        23:{2,3,4,5,7}:{(16,1),(36,1),(37,1),(43,1),(63,1),(75,1),(100,1),(101,1),(107,1),(126,1),(137,1)}
        24:{1,3,4,5,7}:{(15,1),(38,1),(39,1),(43,1),(65,1),(72,1),(100,1),(101,1),(105,1),(125,1),(137,1)}
        25:{3,4,6,7}:{(14,1),(17,1),(33,1),(40,1),(41,1),(76,1),(100,1),(127,1)}
        26:{1,4,6}:{(14,1),(15,1),(18,1)}
        27:{2,4,6}:{(14,1),(16,1),(19,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(20,1),(42,1),(43,1),(46,1),(79,1)}
        29:{1,3,5,6,7}:{(17,1),(18,1),(40,1),(44,1),(65,1),(76,1),(96,1),(129,1)}
        30:{2,3,5,6,7}:{(17,1),(19,1),(41,1),(44,1),(63,1),(76,1),(98,1),(130,1)}
        31:{1,2,5,6}:{(18,1),(19,1),(20,1),(42,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(46,1),(96,1),(98,1)}
        33:{3,4,5,7}:{(22,1),(25,1),(49,1),(50,1),(84,1)}
        34:{1,4,5,6}:{(22,1),(26,1),(48,1),(49,1),(113,1),(134,1)}
        35:{2,4,5,6}:{(22,1),(27,1),(47,1),(50,1),(115,1),(135,1)}
        36:{2,3,4,6}:{(23,1),(27,1),(47,1),(53,1),(59,1),(85,1),(135,1),(139,1)}
        37:{1,2,4,5,7}:{(23,1),(53,1),(54,1),(80,1),(87,1),(112,1),(113,1),(118,1)}
        38:{1,3,4,6}:{(24,1),(26,1),(48,1),(56,1),(59,1),(85,1),(134,1),(139,1)}
        39:{1,2,4,5,7}:{(24,1),(56,1),(57,1),(82,1),(87,1),(114,1),(115,1),(118,1)}
        40:{1,4,6,7}:{(25,1),(26,1),(29,1),(49,1),(112,1),(134,1)}
        41:{2,4,6,7}:{(25,1),(27,1),(30,1),(50,1),(114,1),(135,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(59,1)}
        43:{3,5,7}:{(28,1),(59,1),(60,1),(93,1)}
        44:{1,2,5,6,7}:{(29,1),(30,1),(31,1),(58,1),(80,1),(82,1),(136,1)}
        45:{1,2,3,5,6}:{(31,1),(32,1),(59,1),(62,1),(81,1),(83,1),(86,1),(93,1),(118,1)}
        46:{1,2,4,7}:{(32,1),(60,1),(62,1),(112,1),(114,1)}
        47:{2,3,5,6}:{(35,1),(36,1),(63,1),(64,1),(68,1),(107,1)}
        48:{1,3,5,6}:{(34,1),(38,1),(65,1),(66,1),(68,1),(105,1)}
        49:{1,4,5,7}:{(33,1),(34,1),(40,1),(65,1)}
        50:{2,4,5,7}:{(33,1),(35,1),(41,1),(63,1)}
        51:{1,2,4,5,6}:{(34,1),(35,1),(42,1),(64,1),(66,1),(67,1),(68,1),(79,1),(97,1),(99,1),(124,1),(138,1)}
        52:{2,3,4,6,7}:{(36,1),(41,1),(63,1),(70,1),(76,1),(100,1)}
        53:{1,2,4,6}:{(36,1),(37,1),(64,1),(71,1),(97,1)}
        54:{1,3,5,7}:{(37,1),(43,1),(71,1),(72,1),(105,1),(137,1)}
        55:{1,3,4,6,7}:{(38,1),(40,1),(65,1),(73,1),(76,1),(100,1)}
        56:{1,2,4,6}:{(38,1),(39,1),(66,1),(74,1),(99,1)}
        57:{2,3,5,7}:{(39,1),(43,1),(74,1),(75,1),(107,1),(137,1)}
        58:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(44,1),(67,1),(76,1),(138,1)}
        59:{3,6}:{(42,1),(43,1)}
        60:{3,4,7}:{(43,1),(46,1),(77,1)}
        61:{1,2,3,5,6,7}:{(44,1),(45,1),(76,1),(78,1),(96,1),(98,1),(102,1),(108,1),(128,1),(129,1),(130,1)}
        62:{1,2,4,6}:{(45,1),(46,1),(77,1),(79,1),(97,1),(99,1)}
        63:{2,3,5,7}:{(47,1),(50,1),(52,1),(80,1),(84,1)}
        64:{1,2,5,6}:{(47,1),(53,1),(80,1),(81,1),(118,1)}
        65:{1,3,5,7}:{(48,1),(49,1),(55,1),(82,1),(84,1)}
        66:{1,2,5,6}:{(48,1),(56,1),(82,1),(83,1),(118,1)}
        67:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(58,1),(80,1),(82,1),(84,1),(112,1),(114,1)}
        68:{3,5,6}:{(51,1),(59,1),(84,1),(85,1),(93,1),(132,1),(139,1)}
        69:{1,2,3,5,7}:{(54,1),(57,1),(86,1),(87,1),(118,1)}
        70:{1,2,4,6,7}:{(52,1),(53,1),(80,1),(88,1),(112,1)}
        71:{1,3,6}:{(53,1),(54,1),(59,1),(139,1)}
        72:{1,3,4,7}:{(54,1),(60,1),(87,1),(89,1),(112,1),(131,1)}
        73:{1,2,4,6,7}:{(55,1),(56,1),(82,1),(90,1),(114,1)}
        74:{2,3,6}:{(56,1),(57,1),(59,1),(139,1)}
        75:{2,3,4,7}:{(57,1),(60,1),(87,1),(91,1),(114,1),(131,1)}
        76:{3,6,7}:{(58,1),(59,1),(84,1),(139,1)}
        77:{3,4,6}:{(59,1),(60,1),(62,1),(93,1)}
        78:{1,2,4,6,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(114,1),(134,1),(135,1)}
        79:{1,2,4,5}:{(62,1),(93,1),(113,1),(115,1),(118,1)}
        80:{1,2,5,7}:{(63,1),(64,1),(70,1),(96,1)}
        81:{1,3,5,6}:{(64,1),(68,1),(71,1),(96,1),(97,1),(105,1)}
        82:{1,2,5,7}:{(65,1),(66,1),(73,1),(98,1)}
        83:{2,3,5,6}:{(66,1),(68,1),(74,1),(98,1),(99,1),(107,1)}
        84:{3,5,7}:{(67,1),(68,1),(76,1),(100,1)}
        85:{3,4,6}:{(68,1),(97,1),(99,1),(100,1),(101,1)}
        86:{1,2,3,6}:{(69,1),(71,1),(74,1),(103,1)}
        87:{1,2,4,7}:{(69,1),(72,1),(75,1),(103,1)}
        88:{1,3,6,7}:{(70,1),(71,1),(76,1),(96,1)}
        89:{1,3,4,6}:{(71,1),(72,1),(77,1),(97,1),(103,1),(105,1),(122,1)}
        90:{2,3,6,7}:{(73,1),(74,1),(76,1),(98,1)}
        91:{2,3,4,6}:{(74,1),(75,1),(77,1),(99,1),(103,1),(107,1),(122,1)}
        92:{3,4,6,7}:{(76,1),(77,1),(78,1),(100,1),(108,1),(127,1)}
        93:{3,5}:{(77,1),(79,1)}
        94:{1,2,4,5,7}:{(78,1),(79,1),(108,1),(109,1),(125,1),(126,1),(128,1)}
        95:{1,2,3,5,6}:{(81,1),(83,1),(86,1),(110,1),(111,1),(118,1),(132,1),(136,1),(139,1)}
        96:{1,3,5,7}:{(80,1),(81,1),(84,1),(88,1),(112,1)}
        97:{1,4,6}:{(81,1),(85,1),(112,1),(113,1)}
        98:{2,3,5,7}:{(82,1),(83,1),(84,1),(90,1),(114,1)}
        99:{2,4,6}:{(83,1),(85,1),(114,1),(115,1)}
       100:{3,4,7}:{(84,1),(85,1),(112,1),(114,1)}
       101:{3,4,5}:{(85,1),(93,1),(113,1),(115,1),(132,1)}
       102:{1,2,3,6,7}:{(86,1),(88,1),(90,1),(110,1),(117,1),(139,1)}
       103:{1,2,4,6}:{(86,1),(87,1),(89,1),(91,1),(118,1)}
       104:{1,3,4,6,7}:{(88,1),(89,1),(92,1),(112,1),(117,1),(119,1),(131,1),(134,1),(139,1)}
       105:{1,3,5}:{(89,1),(93,1),(113,1),(118,1),(132,1)}
       106:{2,3,4,6,7}:{(90,1),(91,1),(92,1),(114,1),(117,1),(120,1),(131,1),(135,1),(139,1)}
       107:{2,3,5}:{(91,1),(93,1),(115,1),(118,1),(132,1)}
       108:{3,5,7}:{(92,1),(93,1),(94,1),(121,1)}
       109:{1,2,4,5,6}:{(94,1),(121,1),(134,1),(135,1),(136,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(102,1),(123,1),(128,1),(137,1)}
       111:{1,2,4,6}:{(95,1),(97,1),(99,1),(122,1),(123,1),(124,1)}
       112:{1,4,7}:{(96,1),(97,1),(100,1)}
       113:{1,4,5}:{(97,1),(101,1),(105,1)}
       114:{2,4,7}:{(98,1),(99,1),(100,1)}
       115:{2,4,5}:{(99,1),(101,1),(107,1)}
       116:{3,4,5,7}:{(100,1),(101,1),(108,1),(125,1),(126,1),(127,1),(137,1)}
       117:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(106,1),(123,1),(128,1),(138,1)}
       118:{1,2,5}:{(103,1),(105,1),(107,1)}
       119:{1,3,5,7}:{(104,1),(105,1),(108,1),(125,1),(128,1),(129,1),(137,1)}
       120:{2,3,5,7}:{(106,1),(107,1),(108,1),(126,1),(128,1),(130,1),(137,1)}
       121:{3,5,6}:{(108,1),(109,1),(127,1)}
       122:{3,4,6}:{(111,1),(131,1),(132,1),(139,1)}
       123:{1,2,4,7}:{(110,1),(111,1),(112,1),(114,1),(131,1)}
       124:{1,2,4,5}:{(111,1),(113,1),(115,1),(118,1),(132,1)}
       125:{1,4,5,7}:{(112,1),(113,1),(116,1),(119,1),(134,1)}
       126:{2,4,5,7}:{(114,1),(115,1),(116,1),(120,1),(135,1)}
       127:{3,4,6}:{(116,1),(121,1),(134,1),(135,1),(139,1)}
       128:{1,2,5,7}:{(117,1),(118,1),(119,1),(120,1),(136,1)}
       129:{1,3,5,6}:{(119,1),(121,1),(134,1),(136,1),(139,1)}
       130:{2,3,5,6}:{(120,1),(121,1),(135,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(137,1)}
       132:{3,5}:{(122,1),(124,1)}
       133:{1,2,4,5,7}:{(123,1),(124,1),(125,1),(126,1),(128,1),(137,1),(138,1)}
       134:{1,4,6}:{(125,1),(127,1),(129,1)}
       135:{2,4,6}:{(126,1),(127,1),(130,1)}
       136:{1,2,5,6}:{(128,1),(129,1),(130,1),(138,1)}
       137:{3,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       138:{1,2,4,6}:{(133,1),(134,1),(135,1),(136,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1691 :   0:{2,4,5,6,7}:{(1,1),(13,1),(115,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(5,1),(144,1)}
         2:{2,3,4,5,7}:{(7,1),(8,1),(10,1),(59,1),(72,1),(75,1),(108,1),(117,1),(123,1),(129,1)}
         3:{2,3,4,6,7}:{(7,1),(10,1),(11,1),(13,1),(39,1),(75,1),(78,1)}
         4:{3,4,6,7}:{(1,1),(9,1),(12,1),(13,1),(39,1),(127,1)}
         5:{1,5,6,7}:{(1,1),(12,1),(169,1)}
         6:{2,3,5,6,7}:{(1,1),(10,1),(13,1),(14,1),(39,1),(73,1)}
         7:{2,3,4,6}:{(2,1),(16,1),(17,1),(89,1),(98,1),(152,1),(156,1)}
         8:{1,2,4,5,7}:{(2,1),(17,1),(18,1),(21,1),(42,1),(54,1),(86,1),(90,1)}
         9:{3,4,5,7}:{(4,1),(15,1),(19,1),(20,1),(53,1)}
        10:{2,3,5,7}:{(3,1),(16,1),(20,1),(21,1),(53,1),(104,1)}
        11:{1,2,4,6,7}:{(3,1),(17,1),(21,1),(22,1),(54,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(19,1),(23,1),(154,1)}
        13:{2,4,6,7}:{(4,1),(6,1),(20,1),(98,1)}
        14:{1,2,5,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(96,1),(104,1)}
        15:{3,4,5,6}:{(9,1),(27,1),(28,1),(65,1),(127,1),(161,1)}
        16:{2,3,5,6}:{(7,1),(10,1),(28,1),(29,1),(65,1),(108,1),(132,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(29,1),(30,1),(66,1)}
        18:{1,3,5,7}:{(8,1),(30,1),(31,1),(67,1),(123,1)}
        19:{1,4,5,7}:{(9,1),(12,1),(27,1),(34,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(13,1),(28,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(29,1),(36,1)}
        22:{1,3,6,7}:{(11,1),(30,1),(36,1),(39,1)}
        23:{1,3,6,7}:{(12,1),(34,1),(38,1),(39,1),(175,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(35,1),(38,1),(39,1),(40,1),(78,1),(124,1)}
        25:{1,3,5,6,7}:{(14,1),(36,1),(39,1),(40,1),(77,1),(79,1)}
        26:{1,2,3,5,7}:{(18,1),(41,1),(42,1),(83,1),(86,1)}
        27:{1,4,5,6}:{(15,1),(19,1),(43,1),(154,1),(181,1)}
        28:{2,4,5,6}:{(15,1),(16,1),(20,1),(98,1),(135,1)}
        29:{1,2,5,6}:{(16,1),(17,1),(21,1),(45,1),(86,1)}
        30:{1,3,6}:{(17,1),(18,1),(152,1)}
        31:{1,3,4,7}:{(18,1),(42,1),(46,1),(54,1),(94,1)}
        32:{1,2,3,6,7}:{(22,1),(41,1),(49,1),(50,1),(56,1),(137,1),(152,1),(190,1),(192,1)}
        33:{2,3,4,6,7}:{(50,1),(51,1),(82,1),(94,1),(98,1),(137,1),(152,1),(155,1),(183,1)}
        34:{1,3,5,7}:{(19,1),(23,1),(43,1),(48,1),(52,1),(53,1)}
        35:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(24,1),(44,1),(52,1),(53,1),(54,1),(58,1),(100,1),(104,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(45,1),(53,1),(54,1)}
        37:{1,3,4,6,7}:{(22,1),(46,1),(50,1),(54,1),(55,1),(57,1),(94,1),(102,1),(152,1)}
        38:{1,2,6,7}:{(23,1),(52,1),(56,1),(190,1)}
        39:{3,6,7}:{(24,1),(53,1),(152,1)}
        40:{1,4,6,7}:{(25,1),(54,1),(57,1),(58,1),(102,1)}
        41:{1,2,3,6}:{(26,1),(30,1),(62,1),(109,1)}
        42:{1,2,4,7}:{(26,1),(31,1),(59,1),(62,1)}
        43:{1,3,5,6}:{(27,1),(34,1),(60,1),(64,1),(65,1),(166,1),(175,1)}
        44:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(35,1),(64,1),(65,1),(66,1),(80,1),(112,1),(116,1),(124,1),(132,1)}
        45:{1,3,5,6}:{(29,1),(30,1),(36,1),(65,1),(66,1),(67,1)}
        46:{1,3,4,6}:{(30,1),(31,1),(62,1),(66,1),(67,1),(111,1)}
        47:{1,3,4,5,7}:{(31,1),(63,1),(67,1),(68,1),(76,1),(119,1),(123,1),(126,1),(161,1),(197,1)}
        48:{1,3,4,7}:{(34,1),(60,1),(69,1),(75,1)}
        49:{1,2,3,5,7}:{(32,1),(36,1),(61,1),(70,1),(71,1),(74,1),(120,1),(123,1),(163,1),(173,1),(200,1)}
        50:{1,2,4,6,7}:{(32,1),(33,1),(37,1),(62,1),(70,1),(71,1),(78,1),(124,1),(177,1)}
        51:{2,3,5,7}:{(33,1),(71,1),(72,1),(73,1),(108,1),(123,1),(170,1)}
        52:{1,2,5,7}:{(34,1),(38,1),(64,1),(69,1),(74,1)}
        53:{3,5,7}:{(35,1),(39,1),(65,1),(75,1)}
        54:{1,4,7}:{(36,1),(66,1),(75,1)}
        55:{1,3,5,7}:{(37,1),(67,1),(71,1),(76,1),(77,1),(79,1),(123,1)}
        56:{2,3,6,7}:{(38,1),(39,1),(74,1),(78,1),(174,1)}
        57:{3,4,6,7}:{(39,1),(40,1),(75,1),(78,1),(79,1),(130,1)}
        58:{1,4,5,7}:{(40,1),(79,1),(80,1)}
        59:{2,3,4,7}:{(42,1),(82,1),(83,1),(94,1),(183,1)}
        60:{1,3,4,6}:{(43,1),(48,1),(81,1),(84,1),(89,1)}
        61:{1,2,3,5,6}:{(41,1),(45,1),(49,1),(85,1),(86,1),(88,1),(96,1),(136,1),(138,1),(141,1),(152,1),(184,1),(186,1),(190,1)}
        62:{1,2,4,6}:{(41,1),(42,1),(46,1),(82,1),(86,1)}
        63:{1,2,4,5,7}:{(42,1),(47,1),(83,1),(86,1),(87,1),(135,1),(143,1),(183,1)}
        64:{1,2,5,6}:{(43,1),(52,1),(84,1),(88,1),(184,1),(190,1)}
        65:{3,5,6}:{(44,1),(53,1),(89,1),(141,1),(152,1)}
        66:{1,4,6}:{(45,1),(54,1),(89,1),(90,1)}
        67:{1,3,5}:{(46,1),(86,1),(90,1),(141,1)}
        68:{1,3,4,6}:{(47,1),(87,1),(91,1),(102,1),(152,1),(154,1),(182,1)}
        69:{1,2,4,7}:{(48,1),(52,1),(84,1),(93,1),(100,1)}
        70:{1,2,4,7}:{(49,1),(54,1),(85,1),(94,1),(100,1),(183,1),(205,1)}
        71:{1,2,5,7}:{(50,1),(51,1),(55,1),(86,1),(96,1),(104,1),(188,1)}
        72:{2,4,5,7}:{(51,1),(97,1),(98,1),(135,1),(183,1)}
        73:{2,3,5,6}:{(51,1),(96,1),(98,1),(144,1),(152,1)}
        74:{2,3,5,7}:{(52,1),(53,1),(56,1),(88,1),(93,1),(100,1),(104,1)}
        75:{3,4,7}:{(53,1),(54,1),(89,1),(100,1)}
        76:{1,4,5,7}:{(54,1),(55,1),(90,1),(101,1),(102,1)}
        77:{1,3,5,6}:{(55,1),(96,1),(102,1),(105,1),(152,1)}
        78:{2,4,6,7}:{(56,1),(57,1),(100,1),(104,1),(156,1)}
        79:{3,5,7}:{(57,1),(58,1),(104,1),(105,1)}
        80:{1,4,5,6}:{(58,1),(102,1),(105,1)}
        81:{1,3,4,5}:{(60,1),(107,1),(117,1),(166,1),(193,1)}
        82:{2,3,4,6}:{(59,1),(62,1),(108,1),(109,1),(111,1),(162,1)}
        83:{2,3,5,7}:{(59,1),(63,1),(108,1),(109,1),(123,1)}
        84:{1,2,4,6}:{(60,1),(64,1),(69,1),(107,1),(110,1),(116,1)}
        85:{1,2,4,6}:{(61,1),(66,1),(70,1),(111,1),(112,1),(116,1),(162,1),(196,1)}
        86:{1,2,5}:{(62,1),(67,1),(108,1)}
        87:{1,2,4,6}:{(63,1),(68,1),(109,1),(113,1),(162,1)}
        88:{2,3,5,6}:{(64,1),(65,1),(74,1),(110,1),(116,1),(132,1),(165,1),(174,1)}
        89:{3,4,6}:{(65,1),(66,1),(75,1),(116,1),(117,1)}
        90:{1,4,5}:{(66,1),(67,1),(117,1)}
        91:{1,3,5,6}:{(67,1),(68,1),(113,1),(118,1),(119,1),(167,1),(169,1)}
        92:{1,3,4,6,7}:{(68,1),(114,1),(119,1),(131,1),(176,1),(177,1),(197,1)}
        93:{2,3,7}:{(69,1),(110,1)}
        94:{3,4,7}:{(70,1),(111,1),(123,1)}
        95:{1,2,4,5,7}:{(70,1),(71,1),(72,1),(76,1),(112,1),(123,1),(124,1),(126,1),(129,1),(173,1)}
        96:{1,2,5,6}:{(71,1),(73,1),(77,1),(124,1),(132,1),(169,1)}
        97:{3,4,5,7}:{(72,1),(123,1),(126,1),(127,1),(161,1),(170,1),(197,1)}
        98:{2,4,6}:{(72,1),(73,1),(127,1)}
        99:{2,3,5,6,7}:{(73,1),(125,1),(128,1),(163,1),(170,1),(176,1)}
       100:{2,4,7}:{(74,1),(75,1),(116,1)}
       101:{3,4,5,7}:{(75,1),(76,1),(79,1),(117,1),(123,1),(129,1),(130,1)}
       102:{1,4,6}:{(76,1),(77,1),(130,1)}
       103:{1,3,5,6,7}:{(77,1),(119,1),(125,1),(131,1),(133,1),(176,1)}
       104:{2,5,7}:{(78,1),(79,1),(132,1)}
       105:{3,5,6}:{(79,1),(80,1),(130,1),(132,1)}
       106:{1,4,5,6,7}:{(80,1),(131,1),(133,1)}
       107:{1,2,4,5}:{(81,1),(84,1),(134,1),(146,1),(179,1),(184,1)}
       108:{2,3,5}:{(82,1),(86,1),(135,1),(141,1)}
       109:{2,3,6}:{(83,1),(87,1),(152,1)}
       110:{2,3,6}:{(84,1),(93,1),(134,1)}
       111:{3,4,6}:{(85,1),(94,1),(141,1),(152,1)}
       112:{1,2,4,5}:{(85,1),(86,1),(90,1),(135,1),(141,1),(146,1),(181,1),(184,1)}
       113:{1,2,5,6}:{(86,1),(87,1),(91,1),(136,1),(143,1)}
       114:{1,2,4,6,7}:{(87,1),(92,1),(137,1),(143,1),(183,1)}
       115:{2,4,5,6}:{(98,1),(144,1),(145,1)}
       116:{2,4,6}:{(88,1),(89,1),(100,1),(146,1)}
       117:{3,4,5}:{(89,1),(90,1),(141,1),(146,1)}
       118:{1,4,5,6}:{(90,1),(91,1),(102,1),(147,1),(148,1)}
       119:{1,3,5,7}:{(91,1),(92,1),(143,1),(148,1),(187,1),(188,1)}
       120:{1,2,3,7}:{(93,1),(138,1),(149,1),(209,1)}
       121:{2,3,4,7}:{(93,1),(94,1),(100,1),(139,1),(149,1),(150,1)}
       122:{1,3,4,7}:{(94,1),(140,1),(149,1),(151,1),(205,1),(209,1)}
       123:{3,5,7}:{(94,1),(95,1),(141,1),(152,1)}
       124:{1,2,4,6}:{(95,1),(96,1),(98,1),(102,1),(152,1),(154,1),(156,1),(190,1)}
       125:{1,2,5,6,7}:{(96,1),(99,1),(103,1),(143,1),(153,1),(158,1),(188,1)}
       126:{1,4,5,7}:{(97,1),(151,1),(154,1),(181,1),(188,1),(205,1)}
       127:{3,4,6}:{(97,1),(98,1),(144,1),(152,1),(154,1)}
       128:{2,4,6,7}:{(98,1),(99,1),(145,1),(155,1),(183,1)}
       129:{2,4,5,7}:{(100,1),(101,1),(104,1),(146,1),(150,1),(156,1)}
       130:{3,4,6}:{(101,1),(102,1),(105,1),(152,1),(156,1)}
       131:{1,4,6,7}:{(102,1),(103,1),(148,1),(157,1)}
       132:{2,5,6}:{(104,1),(105,1),(156,1)}
       133:{3,5,6,7}:{(105,1),(106,1),(157,1),(158,1)}
       134:{2,3,5}:{(107,1),(110,1),(160,1)}
       135:{2,4,5}:{(108,1),(161,1),(162,1)}
       136:{2,3,5,6}:{(108,1),(109,1),(113,1),(162,1),(163,1),(167,1)}
       137:{2,3,6,7}:{(109,1),(114,1),(163,1),(176,1)}
       138:{1,2,3,6}:{(110,1),(120,1),(159,1),(164,1),(207,1)}
       139:{2,3,4,6}:{(110,1),(111,1),(116,1),(121,1),(160,1),(164,1),(165,1),(174,1)}
       140:{1,3,4,6}:{(111,1),(122,1),(164,1),(166,1),(175,1),(193,1),(196,1),(207,1)}
       141:{3,5}:{(111,1),(112,1)}
       142:{1,2,4,5,6}:{(112,1),(113,1),(115,1),(118,1),(124,1),(162,1),(167,1),(168,1),(169,1),(171,1),(196,1),(198,1)}
       143:{1,2,5,7}:{(113,1),(114,1),(119,1),(163,1)}
       144:{3,5,6}:{(115,1),(127,1),(169,1),(170,1)}
       145:{2,4,5,7}:{(115,1),(128,1),(170,1)}
       146:{2,4,5}:{(116,1),(117,1),(165,1)}
       147:{3,4,5,6}:{(117,1),(118,1),(130,1),(167,1),(171,1),(172,1)}
       148:{1,4,5,7}:{(118,1),(119,1),(131,1),(172,1)}
       149:{1,2,4,7}:{(120,1),(121,1),(122,1),(164,1),(173,1)}
       150:{2,3,5,7}:{(121,1),(123,1),(129,1),(165,1),(173,1),(174,1)}
       151:{1,3,5,7}:{(122,1),(123,1),(126,1),(166,1),(173,1),(175,1)}
       152:{3,6}:{(123,1),(124,1)}
       153:{1,2,4,6,7}:{(124,1),(125,1),(128,1),(131,1),(168,1),(176,1),(177,1),(178,1),(201,1)}
       154:{1,4,6}:{(126,1),(127,1),(169,1),(175,1)}
       155:{3,4,6,7}:{(127,1),(128,1),(170,1),(176,1),(177,1),(197,1)}
       156:{2,4,6}:{(129,1),(130,1),(132,1),(174,1)}
       157:{3,4,6,7}:{(130,1),(131,1),(133,1),(172,1),(176,1),(178,1)}
       158:{2,5,6,7}:{(132,1),(133,1),(178,1)}
       159:{1,2,3,5}:{(134,1),(138,1),(179,1),(184,1),(202,1)}
       160:{2,3,4}:{(134,1),(179,1)}
       161:{3,4,5}:{(135,1),(141,1),(181,1),(182,1)}
       162:{2,4,6}:{(135,1),(136,1),(182,1),(183,1)}
       163:{2,3,5,7}:{(136,1),(137,1),(143,1),(183,1),(187,1)}
       164:{1,2,4,6}:{(138,1),(139,1),(140,1),(149,1),(179,1),(184,1),(190,1)}
       165:{2,3,5}:{(139,1),(141,1),(146,1),(184,1)}
       166:{1,3,5}:{(140,1),(141,1),(181,1),(184,1)}
       167:{3,5,6}:{(141,1),(142,1),(152,1),(182,1),(187,1)}
       168:{1,2,4,5,7}:{(142,1),(143,1),(145,1),(148,1),(153,1),(183,1),(187,1),(188,1),(189,1),(205,1),(206,1)}
       169:{1,5,6}:{(144,1),(154,1),(188,1)}
       170:{3,5,7}:{(144,1),(145,1),(155,1),(188,1)}
       171:{2,4,5,6}:{(146,1),(147,1),(156,1),(185,1),(189,1)}
       172:{3,4,5,7}:{(147,1),(148,1),(157,1),(187,1),(189,1)}
       173:{1,2,5,7}:{(149,1),(150,1),(151,1),(184,1),(190,1)}
       174:{2,3,6}:{(150,1),(152,1),(156,1),(190,1)}
       175:{1,3,6}:{(151,1),(152,1),(154,1),(190,1)}
       176:{3,6,7}:{(152,1),(153,1),(187,1)}
       177:{1,4,6,7}:{(154,1),(155,1),(188,1),(192,1),(205,1)}
       178:{2,4,6,7}:{(156,1),(157,1),(158,1),(189,1),(191,1)}
       179:{1,2,4}:{(159,1),(160,1),(193,1)}
       180:{2,3,4,5}:{(160,1),(161,1),(165,1),(194,1),(195,1)}
       181:{1,4,5}:{(161,1),(166,1),(196,1)}
       182:{3,4,6}:{(161,1),(162,1),(167,1),(196,1),(197,1)}
       183:{2,4,7}:{(162,1),(163,1),(197,1)}
       184:{1,2,5}:{(164,1),(165,1),(166,1)}
       185:{2,3,5,6}:{(165,1),(167,1),(171,1),(174,1),(195,1),(198,1),(199,1)}
       186:{1,3,5,6}:{(166,1),(167,1),(169,1),(175,1),(196,1),(198,1),(200,1),(207,1)}
       187:{3,5,7}:{(167,1),(168,1),(176,1),(197,1)}
       188:{1,5,7}:{(169,1),(170,1),(177,1)}
       189:{2,4,5,7}:{(171,1),(172,1),(178,1),(199,1)}
       190:{1,2,6}:{(173,1),(174,1),(175,1)}
       191:{2,3,6,7}:{(174,1),(176,1),(178,1),(199,1),(201,1)}
       192:{1,3,6,7}:{(175,1),(176,1),(177,1),(200,1),(201,1)}
       193:{1,3,4}:{(179,1),(202,1)}
       194:{1,2,4,5}:{(179,1),(180,1),(181,1),(184,1),(202,1),(203,1)}
       195:{2,3,4,6}:{(180,1),(182,1),(185,1),(203,1),(204,1)}
       196:{1,4,6}:{(181,1),(182,1),(186,1),(205,1)}
       197:{3,4,7}:{(182,1),(183,1),(187,1),(205,1)}
       198:{1,2,5,6}:{(184,1),(185,1),(186,1),(190,1),(203,1),(206,1)}
       199:{2,3,5,7}:{(185,1),(187,1),(189,1),(191,1),(204,1),(206,1)}
       200:{1,3,5,7}:{(186,1),(187,1),(188,1),(192,1),(205,1),(206,1),(209,1)}
       201:{1,2,6,7}:{(190,1),(191,1),(192,1),(206,1)}
       202:{1,3,5}:{(193,1),(194,1),(207,1)}
       203:{1,2,4,6}:{(194,1),(195,1),(196,1),(198,1),(207,1),(208,1)}
       204:{2,3,4,7}:{(195,1),(197,1),(199,1),(208,1)}
       205:{1,4,7}:{(196,1),(197,1),(200,1)}
       206:{1,2,5,7}:{(198,1),(199,1),(200,1),(201,1),(208,1)}
       207:{1,3,6}:{(202,1),(203,1),(209,1)}
       208:{1,2,4,7}:{(203,1),(204,1),(205,1),(206,1),(209,1)}
       209:{1,3,7}:{(207,1),(208,1)}

1692 :   0:{1,3,4,5,6}:{(2,1),(3,1),(34,1),(56,1),(84,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(19,1),(92,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(42,1),(45,1),(71,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(23,1),(69,1),(72,1)}
         4:{1,4,5,6,7}:{(1,1),(9,1),(83,1)}
         5:{2,4,5,6,7}:{(1,1),(10,1),(99,1)}
         6:{1,3,4,6,7}:{(2,1),(9,1),(12,1),(29,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(12,1),(13,1),(32,1),(54,1),(58,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1)}
         9:{1,3,5,6,7}:{(4,1),(6,1),(17,1),(19,1),(71,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(18,1),(19,1),(90,1)}
        11:{1,2,4,5,6,7}:{(4,1),(5,1),(17,1),(18,1),(19,1),(40,1),(41,1),(68,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(17,1),(20,1),(40,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(20,1),(22,1)}
        14:{1,2,3,5,6}:{(8,1),(21,1),(23,1),(48,1),(72,1),(73,1)}
        15:{2,3,4,6}:{(8,1),(22,1),(23,1),(24,1)}
        16:{2,3,4,6,7}:{(10,1),(25,1),(26,1),(29,1)}
        17:{1,2,5,6,7}:{(9,1),(12,1),(27,1),(58,1)}
        18:{1,2,5,6,7}:{(10,1),(26,1),(28,1),(79,1)}
        19:{3,5,6,7}:{(11,1),(29,1),(81,1)}
        20:{2,3,6,7}:{(12,1),(13,1)}
        21:{1,2,3,5,7}:{(13,1),(14,1),(30,1),(32,1),(58,1),(60,1)}
        22:{2,3,4,7}:{(13,1),(15,1),(32,1)}
        23:{1,2,4,6}:{(14,1),(15,1),(32,1),(34,1),(35,1)}
        24:{2,3,4,5}:{(15,1),(35,1)}
        25:{2,3,4,5,7}:{(16,1),(36,1),(37,1),(42,1),(87,1),(90,1)}
        26:{1,2,4,6,7}:{(16,1),(18,1),(37,1),(38,1),(41,1)}
        27:{2,3,5,6,7}:{(17,1),(19,1),(20,1),(40,1),(44,1)}
        28:{1,3,5,6,7}:{(18,1),(19,1),(38,1),(41,1),(66,1)}
        29:{3,4,6,7}:{(19,1),(40,1),(41,1),(42,1)}
        30:{1,2,3,6,7}:{(20,1),(21,1),(43,1),(73,1)}
        31:{2,3,4,6,7}:{(20,1),(22,1),(40,1),(43,1),(44,1),(47,1),(67,1)}
        32:{1,2,4,7}:{(21,1),(22,1),(23,1),(45,1)}
        33:{2,3,4,5,7}:{(22,1),(24,1),(44,1),(46,1),(47,1),(92,1)}
        34:{1,3,4,6}:{(23,1),(45,1),(48,1),(73,1)}
        35:{1,2,4,5}:{(23,1),(24,1),(48,1)}
        36:{2,3,4,5,6}:{(25,1),(49,1),(56,1),(95,1),(100,1)}
        37:{1,2,4,5,7}:{(25,1),(26,1),(49,1),(50,1),(55,1),(76,1),(79,1)}
        38:{1,3,6,7}:{(26,1),(50,1)}
        39:{1,2,3,5,6,7}:{(27,1),(28,1),(30,1),(51,1),(53,1),(58,1),(79,1),(81,1),(84,1),(100,1)}
        40:{2,4,6,7}:{(27,1),(29,1),(54,1)}
        41:{1,4,6,7}:{(28,1),(29,1),(55,1)}
        42:{3,4,5,7}:{(29,1),(54,1),(55,1),(56,1),(81,1)}
        43:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(57,1),(58,1),(61,1)}
        44:{2,3,5,7}:{(31,1),(54,1),(58,1),(59,1),(81,1)}
        45:{1,3,4,7}:{(32,1),(34,1),(60,1)}
        46:{1,2,4,5,7}:{(32,1),(33,1),(35,1),(58,1),(60,1),(61,1),(83,1)}
        47:{2,3,4,6}:{(33,1),(59,1),(61,1),(101,1)}
        48:{1,3,5}:{(34,1),(35,1)}
        49:{1,2,4,5,6}:{(36,1),(37,1),(62,1),(70,1),(85,1),(91,1)}
        50:{1,3,5,7}:{(37,1),(38,1),(62,1),(64,1)}
        51:{1,2,3,6,7}:{(38,1),(63,1),(65,1),(103,1)}
        52:{1,3,4,6,7}:{(38,1),(41,1),(64,1),(65,1),(66,1),(67,1),(89,1)}
        53:{1,2,4,6,7}:{(39,1),(40,1),(41,1),(67,1),(68,1),(94,1),(104,1)}
        54:{2,4,5,7}:{(40,1),(42,1),(44,1),(69,1)}
        55:{1,4,5,7}:{(41,1),(42,1),(66,1),(70,1)}
        56:{3,4,5,6}:{(42,1),(69,1),(70,1),(93,1)}
        57:{1,3,4,6,7}:{(43,1),(45,1),(67,1),(71,1),(73,1),(94,1)}
        58:{1,2,5,7}:{(43,1),(44,1),(71,1),(72,1)}
        59:{2,3,5,6}:{(44,1),(47,1),(69,1),(72,1),(93,1)}
        60:{1,3,5,7}:{(45,1),(46,1),(48,1),(73,1)}
        61:{1,2,4,6}:{(46,1),(47,1),(72,1),(73,1),(94,1)}
        62:{1,3,5,6}:{(49,1),(50,1),(75,1)}
        63:{1,2,3,5,7}:{(50,1),(51,1),(74,1),(76,1),(79,1),(97,1)}
        64:{1,3,4,7}:{(50,1),(75,1),(76,1)}
        65:{1,2,4,6,7}:{(51,1),(52,1),(76,1),(78,1),(79,1),(98,1)}
        66:{1,3,5,7}:{(52,1),(55,1),(79,1),(80,1),(81,1)}
        67:{3,4,6,7}:{(53,1),(81,1),(101,1)}
        68:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(58,1),(79,1),(81,1),(82,1),(83,1),(99,1)}
        69:{2,4,5,6}:{(54,1),(56,1),(59,1)}
        70:{1,4,5,6}:{(55,1),(56,1),(80,1)}
        71:{1,3,5,7}:{(57,1),(58,1),(81,1),(83,1),(84,1)}
        72:{1,2,5,6}:{(58,1),(59,1),(61,1),(84,1)}
        73:{1,3,6}:{(60,1),(61,1)}
        74:{1,2,3,5,6}:{(62,1),(63,1),(85,1),(91,1),(102,1),(103,1)}
        75:{1,3,4,6}:{(62,1),(64,1),(85,1),(86,1)}
        76:{1,2,4,7}:{(63,1),(64,1),(85,1),(87,1)}
        77:{1,3,4,5,7}:{(64,1),(66,1),(86,1),(88,1),(89,1),(92,1)}
        78:{2,3,4,6,7}:{(65,1),(67,1),(87,1),(90,1),(103,1),(104,1)}
        79:{1,2,5,7}:{(65,1),(66,1),(90,1),(91,1)}
        80:{1,3,5,6}:{(66,1),(70,1),(89,1),(91,1),(93,1)}
        81:{3,5,7}:{(67,1),(68,1),(93,1)}
        82:{1,2,4,5,6}:{(68,1),(69,1),(70,1),(72,1),(91,1),(93,1),(94,1),(104,1)}
        83:{1,4,5,7}:{(71,1),(92,1),(94,1)}
        84:{1,3,5,6}:{(71,1),(72,1),(73,1),(93,1),(94,1)}
        85:{1,2,4,6}:{(74,1),(75,1),(76,1),(95,1),(96,1)}
        86:{1,3,4,5}:{(75,1),(96,1)}
        87:{2,3,4,7}:{(76,1),(95,1),(97,1)}
        88:{1,2,4,5,7}:{(76,1),(77,1),(79,1),(96,1),(97,1),(98,1),(99,1)}
        89:{1,3,4,6}:{(77,1),(80,1),(98,1),(101,1)}
        90:{2,3,5,7}:{(78,1),(79,1),(81,1),(99,1),(100,1)}
        91:{1,2,5,6}:{(79,1),(80,1),(98,1),(100,1)}
        92:{3,4,5,7}:{(81,1),(83,1),(99,1),(101,1)}
        93:{3,5,6}:{(81,1),(82,1),(101,1)}
        94:{1,4,6}:{(83,1),(84,1),(101,1)}
        95:{2,3,4,6}:{(85,1),(87,1),(102,1),(103,1)}
        96:{1,2,4,5}:{(85,1),(86,1),(102,1)}
        97:{2,3,5,7}:{(87,1),(88,1),(102,1),(103,1)}
        98:{1,2,4,6}:{(88,1),(89,1),(91,1),(103,1),(104,1)}
        99:{2,4,5,7}:{(90,1),(92,1),(104,1)}
       100:{2,3,5,6}:{(90,1),(91,1),(93,1),(103,1),(104,1)}
       101:{3,4,6}:{(92,1),(93,1),(94,1),(104,1)}
       102:{2,3,5}:{(95,1),(96,1)}
       103:{2,3,6}:{(97,1),(98,1)}
       104:{2,4,6}:{(99,1),(100,1),(101,1)}

1693 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(21,1),(53,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(34,1),(69,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(24,1),(48,1),(85,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(19,1),(24,1),(47,1),(88,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(20,1),(24,1),(46,1),(87,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(34,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(64,1),(106,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(63,1),(105,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(32,1),(33,1),(108,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(45,1),(85,1),(158,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(17,1),(19,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(18,1),(20,1)}
        12:{1,3,4,6,7}:{(6,1),(19,1),(22,1),(24,1),(41,1),(48,1)}
        13:{2,3,4,6,7}:{(7,1),(20,1),(23,1),(24,1),(26,1),(48,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(21,1),(24,1),(128,1)}
        15:{1,2,3,5,6,7}:{(8,1),(24,1),(25,1),(46,1),(47,1),(49,1),(52,1),(78,1),(86,1),(87,1),(88,1),(131,1),(161,1),(163,1),(172,1)}
        16:{2,3,4,5,7}:{(20,1),(26,1),(27,1),(48,1),(81,1),(83,1),(92,1),(127,1),(132,1)}
        17:{1,4,5,6}:{(9,1),(10,1),(29,1),(106,1),(164,1)}
        18:{2,4,5,6}:{(9,1),(11,1),(30,1),(105,1),(149,1)}
        19:{1,3,5,7}:{(10,1),(12,1),(29,1),(32,1),(34,1)}
        20:{2,3,5,7}:{(11,1),(13,1),(30,1),(33,1),(34,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(31,1),(32,1),(33,1),(34,1),(63,1),(64,1)}
        22:{1,2,4,6,7}:{(12,1),(32,1),(35,1),(57,1),(63,1)}
        23:{1,2,4,6,7}:{(13,1),(33,1),(36,1),(39,1),(64,1)}
        24:{3,6,7}:{(14,1),(34,1),(147,1)}
        25:{1,2,4,6,7}:{(15,1),(37,1),(38,1),(63,1),(64,1),(99,1),(105,1),(106,1),(170,1),(174,1)}
        26:{2,3,4,6}:{(16,1),(30,1),(39,1),(61,1),(105,1),(147,1)}
        27:{1,2,4,5,7}:{(16,1),(33,1),(39,1),(40,1),(64,1),(73,1),(101,1),(112,1)}
        28:{1,3,4,5,7}:{(19,1),(41,1),(42,1),(48,1),(81,1),(84,1),(119,1),(127,1),(153,1)}
        29:{1,3,5,6}:{(17,1),(19,1),(41,1),(43,1),(45,1),(153,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(26,1),(44,1),(45,1),(132,1)}
        31:{1,2,4,5,6}:{(17,1),(18,1),(21,1),(43,1),(44,1),(45,1),(79,1),(80,1),(123,1),(128,1)}
        32:{1,2,5,7}:{(19,1),(22,1),(43,1),(46,1)}
        33:{1,2,5,7}:{(20,1),(23,1),(44,1),(47,1)}
        34:{3,5,7}:{(21,1),(24,1),(45,1),(48,1)}
        35:{2,3,6,7}:{(22,1),(24,1),(46,1),(75,1)}
        36:{1,3,6,7}:{(23,1),(24,1),(47,1),(54,1)}
        37:{3,4,6,7}:{(24,1),(25,1),(48,1),(52,1),(85,1),(122,1),(161,1),(173,1)}
        38:{1,2,4,5,7}:{(25,1),(52,1),(53,1),(83,1),(84,1),(86,1),(123,1)}
        39:{1,2,4,6}:{(26,1),(27,1),(44,1),(54,1),(80,1)}
        40:{1,3,5,7}:{(27,1),(54,1),(56,1),(91,1),(127,1)}
        41:{1,3,4,6}:{(28,1),(29,1),(57,1),(61,1),(106,1),(147,1)}
        42:{1,2,4,5,7}:{(28,1),(32,1),(57,1),(58,1),(63,1),(97,1),(100,1),(138,1)}
        43:{1,2,5,6}:{(29,1),(32,1),(57,1),(59,1),(138,1)}
        44:{1,2,5,6}:{(30,1),(33,1),(39,1),(60,1),(112,1)}
        45:{3,5,6}:{(31,1),(34,1),(61,1),(143,1),(147,1)}
        46:{2,3,5,7}:{(32,1),(34,1),(35,1),(59,1),(63,1)}
        47:{1,3,5,7}:{(33,1),(34,1),(36,1),(60,1),(64,1)}
        48:{3,4,7}:{(34,1),(61,1),(63,1),(64,1)}
        49:{1,2,3,6,7}:{(35,1),(36,1),(62,1),(66,1),(71,1),(95,1),(147,1),(152,1),(167,1)}
        50:{2,3,4,6,7}:{(35,1),(37,1),(63,1),(66,1),(67,1),(96,1),(103,1),(105,1),(111,1),(147,1),(152,1),(170,1)}
        51:{1,3,4,6,7}:{(36,1),(37,1),(64,1),(66,1),(68,1),(72,1),(103,1),(106,1),(137,1),(147,1),(167,1),(174,1)}
        52:{3,5,7}:{(37,1),(38,1),(69,1),(143,1)}
        53:{1,2,4,5,6}:{(38,1),(69,1),(105,1),(106,1),(108,1)}
        54:{1,3,6}:{(39,1),(40,1),(147,1)}
        55:{1,2,3,5,7}:{(40,1),(71,1),(73,1),(112,1),(114,1)}
        56:{1,3,4,7}:{(40,1),(64,1),(72,1),(73,1),(103,1)}
        57:{1,2,4,6}:{(41,1),(42,1),(43,1),(75,1),(79,1)}
        58:{2,3,5,7}:{(42,1),(75,1),(77,1),(118,1),(127,1)}
        59:{2,3,5,6}:{(43,1),(45,1),(46,1),(75,1),(79,1),(118,1)}
        60:{1,3,5,6}:{(44,1),(45,1),(47,1),(54,1),(80,1),(91,1)}
        61:{3,4,6}:{(45,1),(48,1),(79,1),(80,1),(81,1)}
        62:{1,2,3,5,7}:{(46,1),(47,1),(49,1),(78,1),(82,1),(86,1),(127,1),(163,1),(172,1)}
        63:{2,4,7}:{(46,1),(48,1),(79,1)}
        64:{1,4,7}:{(47,1),(48,1),(80,1)}
        65:{3,4,5,7}:{(48,1),(52,1),(81,1),(83,1),(84,1),(85,1),(127,1),(158,1),(173,1)}
        66:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(82,1),(86,1),(90,1),(117,1),(128,1)}
        67:{2,3,5,7}:{(50,1),(52,1),(83,1),(86,1),(87,1),(118,1),(127,1),(132,1)}
        68:{1,3,5,7}:{(51,1),(52,1),(84,1),(86,1),(88,1),(91,1),(127,1),(153,1)}
        69:{3,5,6}:{(52,1),(53,1),(85,1)}
        70:{1,2,4,5,6,7}:{(53,1),(89,1),(129,1),(130,1),(131,1),(160,1)}
        71:{1,2,3,6}:{(54,1),(55,1),(90,1),(135,1)}
        72:{1,3,4,6}:{(54,1),(56,1),(80,1),(90,1),(91,1),(122,1)}
        73:{1,2,4,7}:{(55,1),(56,1),(90,1),(92,1)}
        74:{1,3,4,5,7}:{(56,1),(84,1),(91,1),(93,1),(94,1),(127,1),(134,1),(158,1),(173,1)}
        75:{2,3,6}:{(57,1),(58,1),(147,1)}
        76:{1,2,3,5,7}:{(58,1),(95,1),(97,1),(138,1),(140,1)}
        77:{2,3,4,7}:{(58,1),(63,1),(96,1),(97,1),(103,1)}
        78:{1,2,3,5,6}:{(59,1),(60,1),(62,1),(71,1),(95,1),(99,1),(108,1),(112,1),(138,1),(143,1),(147,1),(150,1),(165,1)}
        79:{2,4,6}:{(59,1),(61,1),(63,1),(100,1)}
        80:{1,4,6}:{(60,1),(61,1),(64,1),(101,1)}
        81:{3,4,5}:{(61,1),(100,1),(101,1),(143,1)}
        82:{1,2,4,7}:{(62,1),(63,1),(64,1),(99,1),(103,1),(170,1),(174,1)}
        83:{2,4,5,7}:{(63,1),(65,1),(67,1),(100,1),(105,1),(149,1),(170,1)}
        84:{1,4,5,7}:{(64,1),(65,1),(68,1),(101,1),(106,1),(164,1),(174,1)}
        85:{3,4,6}:{(65,1),(69,1),(105,1),(106,1),(147,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(108,1),(112,1),(138,1)}
        87:{2,3,5,6}:{(67,1),(69,1),(105,1),(108,1),(147,1)}
        88:{1,3,5,6}:{(68,1),(69,1),(106,1),(108,1),(147,1)}
        89:{3,5,6,7}:{(69,1),(70,1),(107,1),(169,1)}
        90:{1,2,4,6}:{(71,1),(72,1),(73,1),(111,1),(112,1)}
        91:{1,3,5}:{(72,1),(101,1),(112,1),(143,1)}
        92:{2,3,4,7}:{(73,1),(103,1),(111,1),(114,1),(170,1)}
        93:{1,2,4,5,7}:{(73,1),(74,1),(112,1),(114,1),(115,1),(149,1),(151,1),(170,1)}
        94:{1,3,4,6}:{(74,1),(106,1),(113,1),(115,1),(147,1),(168,1)}
        95:{1,2,3,6}:{(75,1),(76,1),(117,1),(156,1)}
        96:{2,3,4,6}:{(75,1),(77,1),(79,1),(117,1),(118,1),(122,1)}
        97:{1,2,4,7}:{(76,1),(77,1),(117,1),(119,1)}
        98:{2,3,4,5,7}:{(77,1),(83,1),(118,1),(120,1),(121,1),(127,1),(155,1),(158,1),(173,1)}
        99:{1,2,4,6}:{(78,1),(79,1),(80,1),(82,1),(122,1),(123,1),(162,1),(171,1)}
       100:{2,4,5}:{(79,1),(81,1),(118,1)}
       101:{1,4,5}:{(80,1),(81,1),(91,1)}
       102:{3,4,5,6}:{(81,1),(85,1),(124,1),(125,1),(126,1),(159,1)}
       103:{3,4,7}:{(82,1),(122,1),(127,1)}
       104:{1,2,4,5,7}:{(82,1),(83,1),(84,1),(86,1),(123,1),(127,1),(128,1)}
       105:{2,4,6}:{(83,1),(85,1),(87,1)}
       106:{1,4,6}:{(84,1),(85,1),(88,1)}
       107:{3,4,6,7}:{(85,1),(89,1),(126,1),(129,1),(130,1),(161,1),(173,1)}
       108:{1,2,5,6}:{(86,1),(87,1),(88,1),(128,1)}
       109:{2,3,5,6,7}:{(87,1),(89,1),(129,1),(131,1),(155,1),(161,1),(163,1)}
       110:{1,3,5,6,7}:{(88,1),(89,1),(130,1),(131,1),(134,1),(161,1),(172,1)}
       111:{2,3,4,6}:{(90,1),(92,1),(122,1),(132,1),(135,1),(162,1)}
       112:{1,2,5}:{(90,1),(91,1),(132,1)}
       113:{1,3,5,6}:{(91,1),(94,1),(125,1),(133,1),(134,1),(159,1)}
       114:{2,3,5,7}:{(92,1),(93,1),(127,1),(132,1),(135,1)}
       115:{1,2,4,6}:{(93,1),(94,1),(133,1),(135,1),(162,1)}
       116:{1,3,4,6,7}:{(94,1),(130,1),(134,1),(136,1),(161,1),(173,1)}
       117:{1,2,4,6}:{(95,1),(96,1),(97,1),(137,1),(138,1)}
       118:{2,3,5}:{(96,1),(100,1),(138,1),(143,1)}
       119:{1,3,4,7}:{(97,1),(103,1),(137,1),(140,1),(174,1)}
       120:{1,2,4,5,7}:{(97,1),(98,1),(138,1),(140,1),(141,1),(164,1),(166,1),(174,1)}
       121:{2,3,4,6}:{(98,1),(105,1),(139,1),(141,1),(147,1),(168,1)}
       122:{3,4,6}:{(99,1),(103,1),(143,1),(147,1)}
       123:{1,2,4,5}:{(99,1),(100,1),(101,1),(112,1),(138,1),(143,1),(149,1),(164,1)}
       124:{2,4,5,6}:{(100,1),(102,1),(105,1),(139,1),(145,1)}
       125:{1,4,5,6}:{(101,1),(102,1),(106,1),(113,1),(146,1)}
       126:{3,4,5,7}:{(102,1),(107,1),(145,1),(146,1),(169,1)}
       127:{3,5,7}:{(103,1),(104,1),(143,1),(147,1)}
       128:{1,2,4,6}:{(104,1),(105,1),(106,1),(108,1),(147,1)}
       129:{2,4,6,7}:{(105,1),(107,1),(109,1),(145,1),(170,1)}
       130:{1,4,6,7}:{(106,1),(107,1),(110,1),(146,1),(174,1)}
       131:{1,2,5,6,7}:{(108,1),(109,1),(110,1),(148,1),(151,1),(166,1)}
       132:{2,3,5}:{(111,1),(112,1),(143,1),(149,1)}
       133:{1,2,5,6}:{(112,1),(113,1),(115,1),(150,1),(151,1)}
       134:{1,3,5,7}:{(113,1),(116,1),(146,1),(151,1),(169,1)}
       135:{2,3,6}:{(114,1),(115,1),(147,1)}
       136:{1,2,4,6,7}:{(115,1),(116,1),(151,1),(152,1),(170,1)}
       137:{1,3,4,6}:{(117,1),(119,1),(122,1),(153,1),(156,1),(171,1)}
       138:{1,2,5}:{(117,1),(118,1),(153,1)}
       139:{2,3,5,6}:{(118,1),(121,1),(124,1),(154,1),(155,1),(159,1)}
       140:{1,3,5,7}:{(119,1),(120,1),(127,1),(153,1),(156,1)}
       141:{1,2,4,6}:{(120,1),(121,1),(154,1),(156,1),(171,1)}
       142:{2,3,4,6,7}:{(121,1),(129,1),(155,1),(157,1),(161,1),(173,1)}
       143:{3,5}:{(122,1),(123,1)}
       144:{1,2,4,5,6}:{(123,1),(124,1),(125,1),(128,1),(133,1),(154,1),(159,1),(160,1),(162,1),(171,1)}
       145:{2,4,5,7}:{(124,1),(126,1),(129,1),(155,1)}
       146:{1,4,5,7}:{(125,1),(126,1),(130,1),(134,1)}
       147:{3,6}:{(127,1),(128,1)}
       148:{1,2,4,6,7}:{(128,1),(129,1),(130,1),(131,1),(160,1),(161,1)}
       149:{2,4,5}:{(132,1),(158,1),(162,1)}
       150:{2,3,5,6}:{(132,1),(133,1),(135,1),(159,1),(162,1),(163,1)}
       151:{1,2,5,7}:{(133,1),(134,1),(136,1),(163,1)}
       152:{2,3,6,7}:{(135,1),(136,1),(161,1),(163,1)}
       153:{1,3,5}:{(137,1),(138,1),(143,1),(164,1)}
       154:{1,2,5,6}:{(138,1),(139,1),(141,1),(165,1),(166,1)}
       155:{2,3,5,7}:{(139,1),(142,1),(145,1),(166,1),(169,1)}
       156:{1,3,6}:{(140,1),(141,1),(147,1)}
       157:{1,2,4,6,7}:{(141,1),(142,1),(166,1),(167,1),(174,1)}
       158:{3,4,5}:{(143,1),(149,1),(164,1),(168,1)}
       159:{3,5,6}:{(143,1),(144,1),(147,1),(168,1),(169,1)}
       160:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(148,1),(151,1),(166,1),(169,1),(170,1),(174,1)}
       161:{3,6,7}:{(147,1),(148,1),(169,1)}
       162:{2,4,6}:{(149,1),(150,1),(168,1),(170,1)}
       163:{2,3,5,7}:{(150,1),(151,1),(152,1),(169,1),(170,1)}
       164:{1,4,5}:{(153,1),(158,1),(171,1)}
       165:{1,3,5,6}:{(153,1),(154,1),(156,1),(159,1),(171,1),(172,1)}
       166:{1,2,5,7}:{(154,1),(155,1),(157,1),(172,1)}
       167:{1,3,6,7}:{(156,1),(157,1),(161,1),(172,1)}
       168:{3,4,6}:{(158,1),(159,1),(162,1),(171,1),(173,1)}
       169:{3,5,7}:{(159,1),(160,1),(161,1),(173,1)}
       170:{2,4,7}:{(162,1),(163,1),(173,1)}
       171:{1,4,6}:{(164,1),(165,1),(168,1),(174,1)}
       172:{1,3,5,7}:{(165,1),(166,1),(167,1),(169,1),(174,1)}
       173:{3,4,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{1,4,7}:{(171,1),(172,1),(173,1)}

1694 :   0:{3,4,5,6,7}:{(1,1),(2,1),(13,1),(89,1)}
         1:{1,4,5,6,7}:{(0,1),(4,1),(96,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(98,1)}
         3:{1,3,4,5,6}:{(7,1),(8,1),(46,1),(49,1),(97,1)}
         4:{1,3,5,6,7}:{(1,1),(9,1),(11,1),(13,1),(85,1)}
         5:{2,3,5,6,7}:{(2,1),(10,1),(12,1),(13,1),(87,1)}
         6:{1,2,4,5,6,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(30,1),(31,1),(59,1)}
         7:{1,3,4,5,7}:{(3,1),(9,1),(14,1),(32,1),(62,1),(85,1)}
         8:{1,2,4,5,6}:{(3,1),(14,1),(15,1),(35,1),(60,1),(86,1)}
         9:{1,3,4,6,7}:{(4,1),(7,1),(17,1),(21,1)}
        10:{2,3,4,6,7}:{(5,1),(16,1),(18,1),(21,1)}
        11:{1,2,5,6,7}:{(4,1),(17,1),(19,1),(71,1)}
        12:{1,2,5,6,7}:{(5,1),(18,1),(20,1),(74,1)}
        13:{3,5,6,7}:{(6,1),(21,1),(76,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(17,1),(22,1),(44,1),(47,1),(71,1)}
        15:{2,3,5,6}:{(8,1),(22,1),(24,1)}
        16:{2,3,4,5,7}:{(10,1),(25,1),(26,1),(32,1),(82,1),(87,1)}
        17:{1,2,4,6,7}:{(9,1),(11,1),(14,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(10,1),(12,1),(26,1),(28,1),(31,1)}
        19:{2,3,5,6,7}:{(11,1),(13,1),(27,1),(30,1),(55,1)}
        20:{1,3,5,6,7}:{(12,1),(13,1),(28,1),(31,1),(57,1)}
        21:{3,4,6,7}:{(13,1),(30,1),(31,1),(32,1)}
        22:{2,3,5,7}:{(14,1),(15,1),(27,1),(34,1)}
        23:{1,2,3,5,6}:{(15,1),(33,1),(35,1),(65,1),(86,1),(91,1)}
        24:{2,3,4,6}:{(15,1),(34,1),(35,1),(36,1)}
        25:{2,3,4,5,6}:{(16,1),(37,1),(46,1),(92,1),(99,1)}
        26:{1,2,4,5,7}:{(16,1),(18,1),(37,1),(38,1),(45,1),(68,1),(74,1)}
        27:{2,3,6,7}:{(17,1),(22,1)}
        28:{1,3,6,7}:{(18,1),(38,1)}
        29:{1,2,3,5,6,7}:{(19,1),(20,1),(39,1),(41,1),(43,1),(71,1),(74,1),(76,1),(97,1),(99,1)}
        30:{2,4,6,7}:{(19,1),(21,1),(44,1)}
        31:{1,4,6,7}:{(20,1),(21,1),(45,1)}
        32:{3,4,5,7}:{(21,1),(44,1),(45,1),(46,1),(76,1)}
        33:{1,2,3,5,7}:{(22,1),(23,1),(39,1),(47,1),(71,1),(78,1)}
        34:{2,3,4,7}:{(22,1),(24,1),(47,1)}
        35:{1,2,4,6}:{(23,1),(24,1),(47,1),(49,1),(50,1)}
        36:{2,3,4,5}:{(24,1),(50,1)}
        37:{1,2,4,5,6}:{(25,1),(26,1),(51,1),(61,1),(80,1),(88,1)}
        38:{1,3,5,7}:{(26,1),(28,1),(51,1),(53,1)}
        39:{1,2,3,6,7}:{(27,1),(33,1),(54,1),(91,1)}
        40:{2,3,4,6,7}:{(27,1),(30,1),(34,1),(54,1),(55,1),(58,1),(64,1)}
        41:{1,2,3,6,7}:{(28,1),(52,1),(56,1),(102,1)}
        42:{1,3,4,6,7}:{(28,1),(31,1),(53,1),(56,1),(57,1),(58,1),(84,1)}
        43:{1,2,4,6,7}:{(29,1),(30,1),(31,1),(58,1),(59,1),(103,1),(104,1)}
        44:{2,4,5,7}:{(30,1),(32,1),(55,1),(60,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(57,1),(61,1)}
        46:{3,4,5,6}:{(32,1),(60,1),(61,1),(90,1)}
        47:{1,2,4,7}:{(33,1),(34,1),(35,1),(62,1)}
        48:{2,3,4,5,7}:{(34,1),(36,1),(55,1),(63,1),(64,1),(89,1)}
        49:{1,3,4,6}:{(35,1),(62,1),(65,1),(91,1)}
        50:{1,2,4,5}:{(35,1),(36,1),(65,1)}
        51:{1,3,5,6}:{(37,1),(38,1),(67,1)}
        52:{1,2,3,5,7}:{(38,1),(41,1),(66,1),(68,1),(74,1),(94,1)}
        53:{1,3,4,7}:{(38,1),(67,1),(68,1)}
        54:{1,2,4,6,7}:{(39,1),(40,1),(47,1),(70,1),(71,1),(79,1)}
        55:{2,3,5,7}:{(40,1),(44,1),(71,1),(72,1),(76,1)}
        56:{1,2,4,6,7}:{(41,1),(42,1),(68,1),(73,1),(74,1),(95,1)}
        57:{1,3,5,7}:{(42,1),(45,1),(74,1),(75,1),(76,1)}
        58:{3,4,6,7}:{(43,1),(76,1),(100,1)}
        59:{1,2,4,5,7}:{(43,1),(44,1),(45,1),(71,1),(74,1),(76,1),(77,1),(96,1),(98,1)}
        60:{2,4,5,6}:{(44,1),(46,1),(72,1)}
        61:{1,4,5,6}:{(45,1),(46,1),(75,1)}
        62:{1,3,4,7}:{(47,1),(49,1),(78,1)}
        63:{1,2,4,5,7}:{(47,1),(48,1),(50,1),(71,1),(78,1),(79,1),(96,1)}
        64:{2,3,4,6}:{(48,1),(72,1),(79,1),(100,1)}
        65:{1,3,5}:{(49,1),(50,1)}
        66:{1,2,3,5,6}:{(51,1),(52,1),(80,1),(88,1),(101,1),(102,1)}
        67:{1,3,4,6}:{(51,1),(53,1),(80,1),(81,1)}
        68:{1,2,4,7}:{(52,1),(53,1),(80,1),(82,1)}
        69:{1,3,4,5,7}:{(53,1),(57,1),(81,1),(83,1),(84,1),(89,1)}
        70:{1,3,4,6,7}:{(54,1),(58,1),(62,1),(85,1),(91,1),(103,1)}
        71:{1,2,5,7}:{(54,1),(55,1),(85,1),(86,1)}
        72:{2,3,5,6}:{(55,1),(60,1),(64,1),(86,1),(90,1)}
        73:{2,3,4,6,7}:{(56,1),(58,1),(82,1),(87,1),(102,1),(104,1)}
        74:{1,2,5,7}:{(56,1),(57,1),(87,1),(88,1)}
        75:{1,3,5,6}:{(57,1),(61,1),(84,1),(88,1),(90,1)}
        76:{3,5,7}:{(58,1),(59,1),(90,1)}
        77:{1,2,4,5,6}:{(59,1),(60,1),(61,1),(86,1),(88,1),(90,1),(103,1),(104,1)}
        78:{1,3,5,7}:{(62,1),(63,1),(65,1),(91,1)}
        79:{1,2,4,6}:{(63,1),(64,1),(86,1),(91,1),(103,1)}
        80:{1,2,4,6}:{(66,1),(67,1),(68,1),(92,1),(93,1)}
        81:{1,3,4,5}:{(67,1),(93,1)}
        82:{2,3,4,7}:{(68,1),(92,1),(94,1)}
        83:{1,2,4,5,7}:{(68,1),(69,1),(74,1),(93,1),(94,1),(95,1),(98,1)}
        84:{1,3,4,6}:{(69,1),(75,1),(95,1),(100,1)}
        85:{1,3,5,7}:{(70,1),(71,1),(76,1),(96,1),(97,1)}
        86:{1,2,5,6}:{(71,1),(72,1),(79,1),(97,1)}
        87:{2,3,5,7}:{(73,1),(74,1),(76,1),(98,1),(99,1)}
        88:{1,2,5,6}:{(74,1),(75,1),(95,1),(99,1)}
        89:{3,4,5,7}:{(76,1),(96,1),(98,1),(100,1)}
        90:{3,5,6}:{(76,1),(77,1),(100,1)}
        91:{1,3,6}:{(78,1),(79,1)}
        92:{2,3,4,6}:{(80,1),(82,1),(101,1),(102,1)}
        93:{1,2,4,5}:{(80,1),(81,1),(101,1)}
        94:{2,3,5,7}:{(82,1),(83,1),(101,1),(102,1)}
        95:{1,2,4,6}:{(83,1),(84,1),(88,1),(102,1),(104,1)}
        96:{1,4,5,7}:{(85,1),(89,1),(103,1)}
        97:{1,3,5,6}:{(85,1),(86,1),(90,1),(91,1),(103,1)}
        98:{2,4,5,7}:{(87,1),(89,1),(104,1)}
        99:{2,3,5,6}:{(87,1),(88,1),(90,1),(102,1),(104,1)}
       100:{3,4,6}:{(89,1),(90,1),(103,1),(104,1)}
       101:{2,3,5}:{(92,1),(93,1)}
       102:{2,3,6}:{(94,1),(95,1)}
       103:{1,4,6}:{(96,1),(97,1),(100,1)}
       104:{2,4,6}:{(98,1),(99,1),(100,1)}

1695 :   0:{2,3,4,6,7}:{(3,1),(4,1),(19,1),(21,1),(55,1),(57,1),(59,1),(92,1),(96,1),(117,1),(123,1)}
         1:{1,3,5,6,7}:{(6,1),(7,1),(25,1),(32,1),(34,1),(37,1),(72,1)}
         2:{2,3,5,6,7}:{(6,1),(8,1),(9,1),(33,1),(34,1),(62,1),(73,1)}
         3:{1,2,4,6,7}:{(0,1),(10,1),(11,1),(36,1),(38,1),(40,1),(74,1),(110,1),(128,1)}
         4:{2,3,5,7}:{(0,1),(9,1),(11,1),(12,1),(33,1),(41,1),(112,1),(127,1)}
         5:{1,3,4,6,7}:{(13,1),(14,1),(18,1),(44,1),(54,1),(83,1),(85,1),(91,1),(95,1),(116,1),(123,1)}
         6:{1,2,5,6,7}:{(1,1),(2,1),(17,1),(20,1),(43,1),(52,1),(53,1),(93,1)}
         7:{1,4,6,7}:{(1,1),(15,1),(18,1),(44,1),(56,1),(91,1)}
         8:{2,4,6,7}:{(2,1),(16,1),(19,1),(21,1),(82,1),(92,1)}
         9:{2,3,5,6}:{(4,1),(20,1),(21,1),(50,1),(57,1)}
        10:{1,3,6,7}:{(3,1),(22,1),(57,1),(123,1),(134,1)}
        11:{1,2,5,7}:{(3,1),(4,1),(20,1),(22,1),(53,1),(133,1)}
        12:{2,4,5,7}:{(4,1),(21,1),(24,1),(92,1),(121,1)}
        13:{1,2,4,6,7}:{(5,1),(26,1),(27,1),(35,1),(63,1),(65,1),(74,1),(110,1),(113,1)}
        14:{1,3,5,7}:{(5,1),(25,1),(27,1),(28,1),(32,1),(66,1),(111,1),(126,1)}
        15:{1,4,5,7}:{(7,1),(29,1),(32,1),(75,1)}
        16:{2,4,5,7}:{(8,1),(30,1),(33,1),(99,1)}
        17:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(31,1),(34,1),(35,1),(36,1),(38,1),(63,1),(74,1),(110,1)}
        18:{3,4,6,7}:{(7,1),(32,1),(34,1),(35,1),(64,1),(71,1),(76,1)}
        19:{3,4,6,7}:{(8,1),(33,1),(34,1),(36,1),(39,1),(71,1),(100,1)}
        20:{1,2,5,6}:{(9,1),(11,1),(37,1),(38,1),(70,1),(112,1)}
        21:{2,4,6}:{(9,1),(12,1),(39,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(37,1),(40,1),(41,1),(137,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(42,1),(75,1),(80,1),(81,1),(110,1),(112,1),(130,1)}
        24:{3,4,5,7}:{(12,1),(33,1),(39,1),(41,1),(42,1),(71,1),(106,1)}
        25:{1,3,5,6}:{(14,1),(43,1),(44,1),(49,1),(83,1)}
        26:{2,3,6,7}:{(13,1),(45,1),(83,1),(123,1),(125,1)}
        27:{1,2,5,7}:{(13,1),(14,1),(43,1),(45,1),(52,1),(124,1)}
        28:{1,4,5,7}:{(14,1),(44,1),(47,1),(91,1),(120,1)}
        29:{1,4,5,6}:{(15,1),(44,1),(49,1)}
        30:{2,4,5,6}:{(16,1),(21,1),(50,1)}
        31:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(48,1),(51,1),(52,1),(53,1),(91,1),(92,1),(93,1)}
        32:{3,5,7}:{(15,1),(18,1),(49,1),(52,1),(94,1)}
        33:{3,5,7}:{(16,1),(19,1),(50,1),(53,1),(115,1)}
        34:{3,6,7}:{(17,1),(51,1),(57,1),(83,1),(123,1)}
        35:{2,4,6,7}:{(18,1),(52,1),(55,1),(84,1),(92,1),(96,1)}
        36:{1,4,6,7}:{(19,1),(53,1),(54,1),(58,1),(91,1),(116,1)}
        37:{1,3,5,6}:{(20,1),(22,1),(56,1),(57,1),(94,1)}
        38:{1,2,4,6}:{(20,1),(21,1),(23,1),(56,1),(57,1),(58,1),(96,1),(97,1)}
        39:{3,4,6}:{(21,1),(24,1),(50,1),(57,1),(58,1)}
        40:{1,4,7}:{(22,1),(56,1),(59,1),(139,1)}
        41:{3,5,7}:{(23,1),(57,1),(59,1),(94,1),(123,1),(135,1)}
        42:{1,4,5,7}:{(24,1),(53,1),(58,1),(60,1),(91,1),(120,1)}
        43:{1,2,5,6}:{(25,1),(27,1),(62,1),(63,1),(69,1),(126,1)}
        44:{1,4,6}:{(25,1),(28,1),(64,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(62,1),(65,1),(66,1),(132,1)}
        46:{1,2,4,5,7}:{(27,1),(28,1),(63,1),(65,1),(66,1),(67,1),(99,1),(103,1),(105,1),(110,1),(126,1),(130,1)}
        47:{3,4,5,7}:{(28,1),(32,1),(64,1),(66,1),(67,1),(71,1),(106,1)}
        48:{1,2,4,5,6}:{(29,1),(30,1),(31,1),(38,1),(63,1),(68,1),(69,1),(70,1),(75,1),(99,1),(107,1),(108,1),(109,1),(112,1),(126,1),(130,1)}
        49:{3,5,6}:{(29,1),(32,1),(64,1),(69,1)}
        50:{3,5,6}:{(30,1),(33,1),(39,1),(70,1)}
        51:{3,5,7}:{(31,1),(34,1),(68,1),(71,1)}
        52:{2,5,7}:{(32,1),(35,1),(69,1),(112,1)}
        53:{1,5,7}:{(33,1),(36,1),(70,1),(126,1)}
        54:{1,3,6,7}:{(34,1),(36,1),(72,1),(74,1),(77,1),(101,1)}
        55:{2,3,6,7}:{(34,1),(35,1),(73,1),(74,1),(78,1),(102,1)}
        56:{1,4,6}:{(37,1),(40,1),(75,1),(76,1)}
        57:{3,6}:{(38,1),(41,1)}
        58:{1,4,6}:{(39,1),(42,1),(70,1),(77,1)}
        59:{3,4,7}:{(40,1),(41,1),(76,1),(80,1),(138,1)}
        60:{1,3,5,7}:{(41,1),(42,1),(77,1),(79,1),(81,1),(111,1)}
        61:{2,3,5,7}:{(41,1),(78,1),(80,1),(81,1),(112,1),(114,1),(132,1)}
        62:{2,3,5,6}:{(43,1),(45,1),(82,1),(83,1),(115,1)}
        63:{1,2,4,6}:{(43,1),(44,1),(46,1),(82,1),(83,1),(84,1),(116,1),(118,1)}
        64:{3,4,6}:{(44,1),(47,1),(49,1),(83,1),(84,1)}
        65:{2,4,7}:{(45,1),(82,1),(85,1),(136,1)}
        66:{3,5,7}:{(46,1),(83,1),(85,1),(115,1),(123,1),(135,1)}
        67:{2,4,5,7}:{(47,1),(52,1),(84,1),(87,1),(92,1),(121,1)}
        68:{3,5,6}:{(48,1),(51,1),(57,1),(83,1),(88,1),(94,1),(115,1),(135,1)}
        69:{2,5,6}:{(49,1),(52,1),(84,1)}
        70:{1,5,6}:{(50,1),(53,1),(58,1)}
        71:{3,4,7}:{(51,1),(88,1),(91,1),(92,1),(123,1)}
        72:{1,3,5,7}:{(51,1),(53,1),(54,1),(89,1),(91,1),(93,1),(123,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(55,1),(90,1),(92,1),(93,1),(123,1)}
        74:{1,2,6,7}:{(54,1),(55,1),(93,1),(97,1),(118,1)}
        75:{1,4,5}:{(56,1),(94,1)}
        76:{3,4,6}:{(56,1),(57,1),(59,1),(94,1),(96,1)}
        77:{1,3,6}:{(57,1),(58,1),(60,1),(97,1)}
        78:{2,3,6}:{(57,1),(61,1),(96,1),(97,1)}
        79:{1,3,4,7}:{(59,1),(60,1),(91,1),(95,1),(98,1),(123,1)}
        80:{2,4,7}:{(59,1),(61,1),(96,1),(136,1)}
        81:{1,2,5,7}:{(60,1),(61,1),(97,1),(98,1),(124,1)}
        82:{2,4,6}:{(62,1),(65,1),(99,1),(100,1)}
        83:{3,6}:{(63,1),(66,1)}
        84:{2,4,6}:{(64,1),(67,1),(69,1),(102,1)}
        85:{3,4,7}:{(65,1),(66,1),(100,1),(103,1),(138,1)}
        86:{1,3,5,7}:{(66,1),(101,1),(103,1),(105,1),(126,1),(129,1),(137,1)}
        87:{2,3,5,7}:{(66,1),(67,1),(102,1),(104,1),(105,1),(127,1)}
        88:{3,4,6}:{(68,1),(71,1),(106,1),(107,1),(108,1),(131,1),(138,1)}
        89:{1,3,5,6}:{(68,1),(70,1),(72,1),(77,1),(101,1),(107,1),(109,1),(111,1),(126,1),(131,1),(137,1)}
        90:{2,3,5,6}:{(68,1),(69,1),(73,1),(78,1),(102,1),(108,1),(109,1),(112,1),(127,1),(131,1),(132,1)}
        91:{1,4,7}:{(71,1),(72,1),(107,1)}
        92:{2,4,7}:{(71,1),(73,1),(108,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(109,1),(110,1)}
        94:{3,5}:{(75,1),(76,1),(112,1)}
        95:{1,3,4,6}:{(76,1),(77,1),(79,1),(107,1),(111,1),(113,1),(131,1),(138,1)}
        96:{2,4,6}:{(76,1),(78,1),(80,1),(112,1)}
        97:{1,2,6}:{(77,1),(78,1),(81,1)}
        98:{1,2,4,7}:{(79,1),(80,1),(81,1),(113,1),(114,1)}
        99:{2,4,5}:{(82,1),(115,1)}
       100:{3,4,6}:{(82,1),(83,1),(85,1),(115,1),(116,1)}
       101:{1,3,6}:{(83,1),(86,1),(116,1),(118,1)}
       102:{2,3,6}:{(83,1),(84,1),(87,1),(118,1)}
       103:{1,4,7}:{(85,1),(86,1),(116,1),(139,1)}
       104:{2,3,4,7}:{(85,1),(87,1),(92,1),(117,1),(119,1),(123,1)}
       105:{1,2,5,7}:{(86,1),(87,1),(118,1),(119,1),(133,1)}
       106:{3,4,5}:{(88,1),(94,1),(115,1),(120,1),(121,1),(135,1)}
       107:{1,4,6}:{(88,1),(89,1),(91,1),(120,1),(139,1)}
       108:{2,4,6}:{(88,1),(90,1),(92,1),(121,1),(136,1)}
       109:{1,2,5,6}:{(89,1),(90,1),(93,1),(97,1),(118,1),(122,1),(124,1),(133,1)}
       110:{1,2,4,7}:{(91,1),(92,1),(93,1),(122,1),(123,1)}
       111:{1,3,5}:{(94,1),(95,1),(120,1),(124,1),(135,1)}
       112:{2,5}:{(94,1),(96,1)}
       113:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(124,1),(125,1),(136,1)}
       114:{2,3,7}:{(98,1),(123,1),(125,1)}
       115:{3,5}:{(99,1),(100,1),(126,1)}
       116:{1,4,6}:{(100,1),(101,1),(103,1),(126,1)}
       117:{2,3,4,6}:{(100,1),(102,1),(104,1),(108,1),(127,1),(128,1),(131,1),(138,1)}
       118:{1,2,6}:{(101,1),(102,1),(105,1)}
       119:{1,2,4,7}:{(103,1),(104,1),(105,1),(128,1),(129,1)}
       120:{1,4,5}:{(106,1),(107,1),(111,1),(126,1)}
       121:{2,4,5}:{(106,1),(108,1),(112,1),(127,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(110,1),(130,1),(131,1)}
       123:{3,7}:{(110,1),(131,1)}
       124:{1,2,5}:{(111,1),(112,1),(113,1),(132,1)}
       125:{2,3,6}:{(113,1),(114,1),(131,1),(132,1)}
       126:{1,5}:{(115,1),(116,1)}
       127:{2,3,5}:{(115,1),(117,1),(121,1),(133,1),(135,1)}
       128:{1,2,4,6}:{(116,1),(117,1),(118,1),(119,1),(133,1),(134,1),(139,1)}
       129:{1,3,7}:{(119,1),(123,1),(134,1)}
       130:{1,2,4,5}:{(120,1),(121,1),(122,1),(124,1),(133,1),(135,1),(136,1),(139,1)}
       131:{3,6}:{(122,1),(123,1),(135,1)}
       132:{2,3,5}:{(124,1),(125,1),(135,1),(136,1)}
       133:{1,2,5}:{(126,1),(127,1),(128,1),(137,1)}
       134:{1,3,6}:{(128,1),(129,1),(131,1),(137,1)}
       135:{3,5}:{(130,1),(131,1),(138,1)}
       136:{2,4}:{(132,1),(138,1)}
       137:{1,3,5}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,4}:{(135,1),(136,1),(139,1)}
       139:{1,4}:{(137,1),(138,1)}

1696 :   0:{2,3,4,5,7}:{(2,1),(3,1),(21,1),(36,1),(91,1),(137,1),(141,1),(147,1),(178,1),(186,1)}
         1:{1,3,4,5,7}:{(4,1),(5,1),(27,1),(30,1),(80,1),(138,1),(146,1),(150,1),(178,1),(191,1)}
         2:{2,3,4,6}:{(0,1),(9,1),(10,1),(110,1),(173,1),(196,1),(200,1)}
         3:{1,2,4,5,7}:{(0,1),(10,1),(11,1),(38,1),(46,1),(99,1),(107,1),(111,1)}
         4:{1,3,4,6}:{(1,1),(15,1),(16,1),(120,1),(166,1),(196,1),(203,1)}
         5:{1,2,4,5,7}:{(1,1),(16,1),(17,1),(38,1),(57,1),(99,1),(117,1),(121,1)}
         6:{2,4,5,6,7}:{(19,1),(71,1),(190,1)}
         7:{2,3,4,6,7}:{(2,1),(21,1),(22,1),(71,1),(134,1),(137,1),(183,1)}
         8:{3,4,5,6}:{(20,1),(23,1),(24,1),(78,1),(150,1),(192,1)}
         9:{2,3,5,6}:{(2,1),(21,1),(24,1),(25,1),(78,1),(91,1),(207,1)}
        10:{1,2,4,6}:{(2,1),(3,1),(25,1),(26,1),(79,1)}
        11:{1,3,5,7}:{(3,1),(26,1),(27,1),(80,1),(178,1)}
        12:{1,4,5,6,7}:{(28,1),(81,1),(185,1)}
        13:{1,3,4,6,7}:{(4,1),(30,1),(31,1),(81,1),(143,1),(146,1),(188,1)}
        14:{3,4,5,6}:{(29,1),(32,1),(33,1),(89,1),(141,1),(187,1)}
        15:{1,3,5,6}:{(4,1),(30,1),(32,1),(34,1),(80,1),(89,1),(208,1)}
        16:{1,2,4,6}:{(4,1),(5,1),(34,1),(35,1),(90,1)}
        17:{2,3,5,7}:{(5,1),(35,1),(36,1),(91,1),(178,1)}
        18:{1,2,3,5,7}:{(11,1),(17,1),(37,1),(38,1),(99,1)}
        19:{3,5,6,7}:{(6,1),(41,1),(42,1),(202,1)}
        20:{3,4,5,7}:{(8,1),(41,1),(44,1),(45,1),(106,1)}
        21:{2,3,5,7}:{(7,1),(9,1),(45,1),(46,1),(106,1),(198,1)}
        22:{1,2,4,6,7}:{(7,1),(10,1),(46,1),(47,1),(107,1)}
        23:{1,4,5,6}:{(8,1),(44,1),(48,1),(174,1),(203,1)}
        24:{2,4,5,6}:{(8,1),(9,1),(45,1),(121,1),(173,1)}
        25:{1,2,5,6}:{(9,1),(10,1),(46,1),(50,1),(99,1)}
        26:{1,3,6}:{(10,1),(11,1),(196,1)}
        27:{1,3,4,7}:{(11,1),(38,1),(51,1),(107,1),(153,1)}
        28:{3,5,6,7}:{(12,1),(52,1),(54,1),(199,1)}
        29:{3,4,5,7}:{(14,1),(52,1),(55,1),(56,1),(116,1)}
        30:{1,3,5,7}:{(13,1),(15,1),(55,1),(57,1),(116,1),(201,1)}
        31:{1,2,4,6,7}:{(13,1),(16,1),(57,1),(58,1),(117,1)}
        32:{1,4,5,6}:{(14,1),(15,1),(55,1),(111,1),(166,1)}
        33:{2,4,5,6}:{(14,1),(56,1),(59,1),(167,1),(200,1)}
        34:{1,2,5,6}:{(15,1),(16,1),(57,1),(61,1),(99,1)}
        35:{2,3,6}:{(16,1),(17,1),(196,1)}
        36:{2,3,4,7}:{(17,1),(38,1),(62,1),(117,1),(153,1)}
        37:{1,2,3,6}:{(18,1),(26,1),(35,1),(67,1)}
        38:{1,2,4,7}:{(18,1),(27,1),(36,1),(67,1)}
        39:{1,3,4,5}:{(64,1),(68,1),(132,1),(141,1),(182,1)}
        40:{2,3,4,5}:{(65,1),(69,1),(131,1),(150,1),(181,1)}
        41:{3,4,6,7}:{(19,1),(20,1),(70,1),(71,1),(134,1),(192,1)}
        42:{1,5,6,7}:{(19,1),(70,1),(208,1)}
        43:{2,3,5,6,7}:{(19,1),(21,1),(71,1),(72,1),(134,1),(148,1)}
        44:{1,4,5,7}:{(20,1),(23,1),(70,1),(73,1)}
        45:{2,4,5,7}:{(20,1),(21,1),(24,1),(71,1)}
        46:{1,2,5,7}:{(21,1),(22,1),(25,1),(75,1)}
        47:{1,3,6,7}:{(22,1),(26,1),(75,1),(134,1)}
        48:{1,3,5,6}:{(23,1),(64,1),(73,1),(77,1),(78,1),(182,1),(206,1)}
        49:{1,2,4,5,6}:{(23,1),(24,1),(25,1),(74,1),(77,1),(78,1),(79,1),(129,1),(140,1),(179,1),(185,1),(207,1)}
        50:{1,3,5,6}:{(25,1),(26,1),(75,1),(78,1),(79,1),(80,1)}
        51:{1,3,4,6}:{(26,1),(27,1),(67,1),(79,1),(80,1),(128,1)}
        52:{3,4,6,7}:{(28,1),(29,1),(81,1),(82,1),(143,1),(187,1)}
        53:{1,3,5,6,7}:{(28,1),(30,1),(81,1),(83,1),(139,1),(143,1)}
        54:{2,5,6,7}:{(28,1),(82,1),(207,1)}
        55:{1,4,5,7}:{(29,1),(30,1),(32,1),(81,1)}
        56:{2,4,5,7}:{(29,1),(33,1),(82,1),(84,1)}
        57:{1,2,5,7}:{(30,1),(31,1),(34,1),(86,1)}
        58:{2,3,6,7}:{(31,1),(35,1),(86,1),(143,1)}
        59:{2,3,5,6}:{(33,1),(65,1),(84,1),(88,1),(89,1),(181,1),(205,1)}
        60:{1,2,4,5,6}:{(32,1),(33,1),(34,1),(85,1),(88,1),(89,1),(90,1),(129,1),(149,1),(179,1),(190,1),(208,1)}
        61:{2,3,5,6}:{(34,1),(35,1),(86,1),(89,1),(90,1),(91,1)}
        62:{2,3,4,6}:{(35,1),(36,1),(67,1),(90,1),(91,1),(128,1)}
        63:{1,2,3,6,7}:{(37,1),(47,1),(58,1),(94,1),(95,1),(161,1),(168,1),(196,1),(209,1)}
        64:{1,3,4,6}:{(39,1),(48,1),(92,1),(96,1),(110,1)}
        65:{2,3,4,6}:{(40,1),(59,1),(93,1),(97,1),(120,1)}
        66:{1,2,3,5,6}:{(37,1),(50,1),(61,1),(94,1),(98,1),(99,1),(109,1),(119,1),(155,1),(156,1),(159,1),(196,1),(197,1),(209,1)}
        67:{1,2,4,6}:{(37,1),(38,1),(51,1),(62,1),(99,1)}
        68:{1,2,4,5}:{(39,1),(96,1),(100,1),(160,1),(167,1),(197,1)}
        69:{1,2,4,5}:{(40,1),(97,1),(101,1),(160,1),(174,1),(197,1)}
        70:{1,4,6,7}:{(41,1),(42,1),(44,1),(102,1),(203,1)}
        71:{2,4,6,7}:{(41,1),(43,1),(45,1),(173,1)}
        72:{1,2,5,6,7}:{(42,1),(43,1),(46,1),(103,1),(104,1),(155,1),(198,1)}
        73:{1,3,5,7}:{(44,1),(48,1),(92,1),(102,1),(105,1),(106,1)}
        74:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(49,1),(103,1),(105,1),(106,1),(107,1),(163,1),(164,1),(198,1)}
        75:{1,3,5,7}:{(46,1),(47,1),(50,1),(106,1),(107,1)}
        76:{1,3,4,6,7}:{(47,1),(51,1),(95,1),(107,1),(108,1),(153,1),(162,1),(166,1),(196,1)}
        77:{1,2,5,6}:{(48,1),(96,1),(105,1),(109,1),(197,1),(209,1)}
        78:{3,5,6}:{(49,1),(106,1),(110,1),(159,1),(196,1)}
        79:{1,4,6}:{(50,1),(107,1),(110,1),(111,1)}
        80:{1,3,5}:{(51,1),(99,1),(111,1),(159,1)}
        81:{1,4,6,7}:{(52,1),(53,1),(55,1),(166,1)}
        82:{2,4,6,7}:{(52,1),(54,1),(56,1),(112,1),(200,1)}
        83:{1,2,5,6,7}:{(53,1),(54,1),(57,1),(113,1),(114,1),(155,1),(201,1)}
        84:{2,3,5,7}:{(56,1),(59,1),(93,1),(112,1),(115,1),(116,1)}
        85:{1,2,4,5,7}:{(55,1),(56,1),(57,1),(60,1),(113,1),(115,1),(116,1),(117,1),(170,1),(171,1),(201,1)}
        86:{2,3,5,7}:{(57,1),(58,1),(61,1),(116,1),(117,1)}
        87:{2,3,4,6,7}:{(58,1),(62,1),(95,1),(117,1),(118,1),(153,1),(169,1),(173,1),(196,1)}
        88:{1,2,5,6}:{(59,1),(97,1),(115,1),(119,1),(197,1),(209,1)}
        89:{3,5,6}:{(60,1),(116,1),(120,1),(159,1),(196,1)}
        90:{2,4,6}:{(61,1),(117,1),(120,1),(121,1)}
        91:{2,3,5}:{(62,1),(99,1),(121,1),(159,1)}
        92:{1,3,4,7}:{(64,1),(73,1),(122,1),(137,1)}
        93:{2,3,4,7}:{(65,1),(84,1),(123,1),(146,1)}
        94:{1,2,3,5,7}:{(63,1),(66,1),(75,1),(86,1),(124,1),(125,1),(136,1),(145,1),(175,1),(178,1),(204,1)}
        95:{1,2,4,6,7}:{(63,1),(67,1),(76,1),(87,1),(124,1),(125,1),(179,1),(183,1),(188,1)}
        96:{1,2,4,6}:{(64,1),(68,1),(77,1),(122,1),(126,1),(140,1)}
        97:{1,2,4,6}:{(65,1),(69,1),(88,1),(123,1),(127,1),(149,1)}
        98:{1,2,4,6}:{(66,1),(79,1),(90,1),(124,1),(128,1),(129,1),(140,1),(149,1)}
        99:{1,2,5}:{(67,1),(80,1),(91,1)}
       100:{2,3,5}:{(68,1),(126,1),(131,1)}
       101:{1,3,5}:{(69,1),(127,1),(132,1)}
       102:{1,3,6,7}:{(70,1),(73,1),(133,1),(134,1),(206,1)}
       103:{1,2,4,6,7}:{(70,1),(71,1),(72,1),(74,1),(133,1),(134,1),(135,1),(179,1),(183,1)}
       104:{1,3,5,6,7}:{(72,1),(75,1),(134,1),(135,1),(139,1),(184,1)}
       105:{1,2,5,7}:{(73,1),(77,1),(122,1),(133,1),(136,1)}
       106:{3,5,7}:{(74,1),(78,1),(134,1),(137,1)}
       107:{1,4,7}:{(75,1),(79,1),(137,1)}
       108:{1,3,5,7}:{(76,1),(80,1),(125,1),(138,1),(139,1),(178,1),(184,1)}
       109:{2,3,5,6}:{(77,1),(78,1),(126,1),(136,1),(140,1),(181,1),(205,1),(207,1)}
       110:{3,4,6}:{(78,1),(79,1),(137,1),(140,1),(141,1)}
       111:{1,4,5}:{(79,1),(80,1),(141,1)}
       112:{2,3,6,7}:{(82,1),(84,1),(142,1),(143,1),(205,1)}
       113:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(85,1),(142,1),(143,1),(144,1),(179,1),(188,1)}
       114:{2,3,5,6,7}:{(83,1),(86,1),(143,1),(144,1),(148,1),(189,1)}
       115:{1,2,5,7}:{(84,1),(88,1),(123,1),(142,1),(145,1)}
       116:{3,5,7}:{(85,1),(89,1),(143,1),(146,1)}
       117:{2,4,7}:{(86,1),(90,1),(146,1)}
       118:{2,3,5,7}:{(87,1),(91,1),(125,1),(147,1),(148,1),(178,1),(189,1)}
       119:{1,3,5,6}:{(88,1),(89,1),(127,1),(145,1),(149,1),(182,1),(206,1),(208,1)}
       120:{3,4,6}:{(89,1),(90,1),(146,1),(149,1),(150,1)}
       121:{2,4,5}:{(90,1),(91,1),(150,1)}
       122:{1,2,4,7}:{(92,1),(96,1),(105,1),(151,1),(164,1)}
       123:{1,2,4,7}:{(93,1),(97,1),(115,1),(152,1),(171,1)}
       124:{1,2,4,7}:{(94,1),(98,1),(107,1),(117,1),(153,1),(164,1),(171,1)}
       125:{1,2,5,7}:{(95,1),(99,1),(108,1),(118,1),(155,1),(198,1),(201,1)}
       126:{2,3,6}:{(96,1),(100,1),(151,1)}
       127:{1,3,6}:{(97,1),(101,1),(152,1)}
       128:{3,4,6}:{(98,1),(153,1),(159,1),(196,1)}
       129:{1,2,4,5}:{(98,1),(99,1),(111,1),(121,1),(159,1),(167,1),(174,1),(197,1)}
       130:{1,2,3,5}:{(100,1),(101,1),(156,1),(160,1),(197,1)}
       131:{2,3,4}:{(100,1),(160,1)}
       132:{1,3,4}:{(101,1),(160,1)}
       133:{1,2,6,7}:{(102,1),(105,1),(161,1),(209,1)}
       134:{3,6,7}:{(103,1),(106,1),(196,1)}
       135:{1,4,6,7}:{(104,1),(107,1),(162,1),(163,1),(166,1)}
       136:{2,3,5,7}:{(105,1),(106,1),(109,1),(151,1),(161,1),(164,1),(198,1)}
       137:{3,4,7}:{(106,1),(107,1),(110,1),(164,1)}
       138:{1,4,5,7}:{(107,1),(108,1),(111,1),(165,1),(166,1)}
       139:{1,3,5,6}:{(108,1),(155,1),(166,1),(196,1),(199,1)}
       140:{2,4,6}:{(109,1),(110,1),(164,1),(167,1)}
       141:{3,4,5}:{(110,1),(111,1),(159,1),(167,1)}
       142:{1,2,6,7}:{(112,1),(115,1),(168,1),(209,1)}
       143:{3,6,7}:{(113,1),(116,1),(196,1)}
       144:{2,4,6,7}:{(114,1),(117,1),(169,1),(170,1),(173,1)}
       145:{1,3,5,7}:{(115,1),(116,1),(119,1),(152,1),(168,1),(171,1),(201,1)}
       146:{3,4,7}:{(116,1),(117,1),(120,1),(171,1)}
       147:{2,4,5,7}:{(117,1),(118,1),(121,1),(172,1),(173,1)}
       148:{2,3,5,6}:{(118,1),(155,1),(173,1),(196,1),(202,1)}
       149:{1,4,6}:{(119,1),(120,1),(171,1),(174,1)}
       150:{3,4,5}:{(120,1),(121,1),(159,1),(174,1)}
       151:{2,3,7}:{(122,1),(126,1)}
       152:{1,3,7}:{(123,1),(127,1)}
       153:{3,4,7}:{(124,1),(128,1),(178,1)}
       154:{1,2,4,5,7}:{(124,1),(125,1),(129,1),(138,1),(147,1),(178,1),(179,1),(186,1),(191,1),(204,1)}
       155:{1,2,5,6}:{(125,1),(139,1),(148,1),(179,1),(207,1),(208,1)}
       156:{1,2,3,6}:{(126,1),(127,1),(130,1),(175,1),(180,1)}
       157:{2,3,4,6}:{(126,1),(128,1),(131,1),(140,1),(176,1),(180,1),(181,1),(205,1)}
       158:{1,3,4,6}:{(127,1),(128,1),(132,1),(149,1),(177,1),(180,1),(182,1),(206,1)}
       159:{3,5}:{(128,1),(129,1)}
       160:{1,2,4}:{(130,1),(131,1),(132,1)}
       161:{2,3,6,7}:{(133,1),(134,1),(136,1),(183,1),(205,1)}
       162:{3,4,6,7}:{(134,1),(135,1),(137,1),(183,1),(184,1),(187,1)}
       163:{1,4,5,7}:{(135,1),(184,1),(185,1)}
       164:{2,4,7}:{(136,1),(137,1),(140,1)}
       165:{3,4,5,7}:{(137,1),(138,1),(141,1),(178,1),(184,1),(186,1),(187,1)}
       166:{1,4,6}:{(138,1),(139,1),(187,1)}
       167:{2,4,5}:{(140,1),(141,1),(181,1)}
       168:{1,3,6,7}:{(142,1),(143,1),(145,1),(188,1),(206,1)}
       169:{3,4,6,7}:{(143,1),(144,1),(146,1),(188,1),(189,1),(192,1)}
       170:{2,4,5,7}:{(144,1),(189,1),(190,1)}
       171:{1,4,7}:{(145,1),(146,1),(149,1)}
       172:{3,4,5,7}:{(146,1),(147,1),(150,1),(178,1),(189,1),(191,1),(192,1)}
       173:{2,4,6}:{(147,1),(148,1),(192,1)}
       174:{1,4,5}:{(149,1),(150,1),(182,1)}
       175:{1,2,3,7}:{(151,1),(152,1),(156,1),(193,1)}
       176:{2,3,4,7}:{(151,1),(153,1),(157,1),(164,1),(193,1),(194,1)}
       177:{1,3,4,7}:{(152,1),(153,1),(158,1),(171,1),(193,1),(195,1)}
       178:{3,5,7}:{(153,1),(154,1),(159,1),(196,1)}
       179:{1,2,4,6}:{(154,1),(155,1),(166,1),(173,1),(196,1),(200,1),(203,1),(209,1)}
       180:{1,2,4,6}:{(156,1),(157,1),(158,1),(160,1),(193,1),(197,1),(209,1)}
       181:{2,3,5}:{(157,1),(159,1),(167,1),(197,1)}
       182:{1,3,5}:{(158,1),(159,1),(174,1),(197,1)}
       183:{2,4,6,7}:{(161,1),(162,1),(164,1),(198,1),(200,1)}
       184:{3,5,7}:{(162,1),(163,1),(198,1),(199,1)}
       185:{1,4,5,6}:{(163,1),(166,1),(199,1)}
       186:{2,4,5,7}:{(164,1),(165,1),(167,1),(194,1),(198,1),(200,1)}
       187:{3,4,6}:{(165,1),(166,1),(196,1),(199,1),(200,1)}
       188:{1,4,6,7}:{(168,1),(169,1),(171,1),(201,1),(203,1)}
       189:{3,5,7}:{(169,1),(170,1),(201,1),(202,1)}
       190:{2,4,5,6}:{(170,1),(173,1),(202,1)}
       191:{1,4,5,7}:{(171,1),(172,1),(174,1),(195,1),(201,1),(203,1)}
       192:{3,4,6}:{(172,1),(173,1),(196,1),(202,1),(203,1)}
       193:{1,2,4,7}:{(175,1),(176,1),(177,1),(180,1),(204,1)}
       194:{2,3,5,7}:{(176,1),(178,1),(181,1),(186,1),(204,1),(205,1)}
       195:{1,3,5,7}:{(177,1),(178,1),(182,1),(191,1),(204,1),(206,1)}
       196:{3,6}:{(178,1),(179,1)}
       197:{1,2,5}:{(180,1),(181,1),(182,1)}
       198:{2,5,7}:{(183,1),(184,1),(207,1)}
       199:{3,5,6}:{(184,1),(185,1),(187,1),(207,1)}
       200:{2,4,6}:{(186,1),(187,1),(205,1),(207,1)}
       201:{1,5,7}:{(188,1),(189,1),(208,1)}
       202:{3,5,6}:{(189,1),(190,1),(192,1),(208,1)}
       203:{1,4,6}:{(191,1),(192,1),(206,1),(208,1)}
       204:{1,2,5,7}:{(193,1),(194,1),(195,1),(197,1),(209,1)}
       205:{2,3,6}:{(194,1),(196,1),(200,1),(209,1)}
       206:{1,3,6}:{(195,1),(196,1),(203,1),(209,1)}
       207:{2,5,6}:{(198,1),(199,1),(200,1)}
       208:{1,5,6}:{(201,1),(202,1),(203,1)}
       209:{1,2,6}:{(204,1),(205,1),(206,1)}

1697 :   0:{2,3,4,5}:{(2,1),(3,1),(32,1),(89,1),(142,1)}
         1:{1,3,4,5}:{(4,1),(5,1),(24,1),(77,1),(152,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(9,1),(107,1)}
         3:{1,2,4,5}:{(0,1),(9,1),(10,1),(36,1),(99,1),(110,1)}
         4:{1,3,4,6}:{(1,1),(12,1),(13,1),(14,1),(119,1)}
         5:{1,2,4,5}:{(1,1),(14,1),(15,1),(36,1),(99,1),(122,1)}
         6:{3,4,5,6}:{(17,1),(18,1),(19,1),(72,1),(152,1),(203,1),(226,1)}
         7:{2,3,5,6}:{(2,1),(19,1),(20,1),(21,1),(72,1),(89,1),(155,1)}
         8:{2,3,4,7}:{(2,1),(20,1),(22,1),(141,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(21,1),(22,1),(23,1),(75,1)}
        10:{1,3,5}:{(3,1),(23,1),(24,1)}
        11:{3,4,5,6}:{(25,1),(26,1),(27,1),(84,1),(142,1),(197,1),(228,1)}
        12:{1,3,5,6}:{(4,1),(26,1),(28,1),(29,1),(77,1),(84,1),(145,1)}
        13:{1,3,4,7}:{(4,1),(28,1),(30,1),(151,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(29,1),(30,1),(31,1),(87,1)}
        15:{2,3,5}:{(5,1),(31,1),(32,1)}
        16:{1,2,3,5}:{(10,1),(15,1),(35,1),(36,1),(99,1)}
        17:{3,4,5,7}:{(6,1),(39,1),(40,1),(41,1),(106,1),(214,1)}
        18:{1,4,5,6}:{(6,1),(37,1),(40,1),(177,1),(217,1)}
        19:{2,4,5,6}:{(6,1),(7,1),(41,1),(122,1),(182,1)}
        20:{2,3,5,7}:{(7,1),(8,1),(41,1),(43,1),(44,1),(106,1)}
        21:{1,2,5,6}:{(7,1),(9,1),(44,1),(45,1),(99,1),(166,1)}
        22:{1,2,4,7}:{(8,1),(9,1),(44,1),(46,1),(109,1)}
        23:{1,3,6}:{(9,1),(10,1),(46,1)}
        24:{1,3,4}:{(10,1),(36,1)}
        25:{3,4,5,7}:{(11,1),(50,1),(51,1),(52,1),(118,1),(218,1)}
        26:{1,4,5,6}:{(11,1),(12,1),(51,1),(110,1),(174,1)}
        27:{2,4,5,6}:{(11,1),(48,1),(52,1),(169,1),(213,1)}
        28:{1,3,5,7}:{(12,1),(13,1),(51,1),(54,1),(55,1),(118,1)}
        29:{1,2,5,6}:{(12,1),(14,1),(55,1),(56,1),(99,1),(166,1)}
        30:{1,2,4,7}:{(13,1),(14,1),(55,1),(57,1),(121,1)}
        31:{2,3,6}:{(14,1),(15,1),(57,1)}
        32:{2,3,4}:{(15,1),(36,1)}
        33:{2,3,4,5}:{(59,1),(60,1),(130,1),(152,1),(188,1)}
        34:{1,3,4,5}:{(61,1),(62,1),(127,1),(142,1),(186,1)}
        35:{1,2,3,6}:{(16,1),(23,1),(31,1),(64,1),(65,1)}
        36:{1,2,4}:{(16,1),(24,1),(32,1)}
        37:{1,3,5,6}:{(18,1),(61,1),(66,1),(67,1),(72,1),(186,1),(221,1)}
        38:{4,5,6,7}:{(68,1),(195,1),(228,1)}
        39:{3,4,6,7}:{(17,1),(68,1),(69,1),(70,1),(140,1),(195,1),(203,1)}
        40:{1,4,5,7}:{(17,1),(18,1),(66,1),(69,1)}
        41:{2,4,5,7}:{(17,1),(19,1),(20,1),(70,1)}
        42:{1,2,4,5,6}:{(18,1),(19,1),(21,1),(67,1),(71,1),(72,1),(75,1),(134,1),(138,1),(192,1),(198,1),(225,1),(226,1)}
        43:{2,3,6,7}:{(20,1),(70,1),(73,1),(140,1),(155,1)}
        44:{1,2,5,7}:{(20,1),(21,1),(22,1),(73,1),(74,1)}
        45:{1,3,5,6}:{(21,1),(23,1),(72,1),(74,1),(75,1),(77,1),(145,1),(198,1)}
        46:{1,3,7}:{(22,1),(23,1)}
        47:{1,3,4,6}:{(23,1),(24,1),(65,1),(75,1),(76,1),(77,1),(131,1),(145,1)}
        48:{2,3,5,6}:{(27,1),(59,1),(78,1),(79,1),(84,1),(188,1),(222,1)}
        49:{4,5,6,7}:{(80,1),(201,1),(226,1)}
        50:{3,4,6,7}:{(25,1),(80,1),(81,1),(82,1),(150,1),(197,1),(201,1)}
        51:{1,4,5,7}:{(25,1),(26,1),(28,1),(81,1)}
        52:{2,4,5,7}:{(25,1),(27,1),(78,1),(82,1)}
        53:{1,2,4,5,6}:{(26,1),(27,1),(29,1),(79,1),(83,1),(84,1),(87,1),(134,1),(148,1),(192,1),(204,1),(227,1),(228,1)}
        54:{1,3,6,7}:{(28,1),(81,1),(85,1),(145,1),(150,1)}
        55:{1,2,5,7}:{(28,1),(29,1),(30,1),(85,1),(86,1)}
        56:{2,3,5,6}:{(29,1),(31,1),(84,1),(86,1),(87,1),(89,1),(155,1),(204,1)}
        57:{2,3,7}:{(30,1),(31,1)}
        58:{2,3,4,6}:{(31,1),(32,1),(65,1),(87,1),(88,1),(89,1),(131,1),(155,1)}
        59:{2,3,4,6}:{(33,1),(48,1),(90,1),(91,1),(119,1)}
        60:{1,2,4,5}:{(33,1),(91,1),(92,1),(157,1),(177,1),(206,1)}
        61:{1,3,4,6}:{(34,1),(37,1),(93,1),(94,1),(107,1)}
        62:{1,2,4,5}:{(34,1),(94,1),(95,1),(157,1),(169,1),(206,1)}
        63:{1,2,3,5,6}:{(35,1),(45,1),(56,1),(96,1),(97,1),(99,1),(102,1),(114,1),(156,1),(163,1),(166,1),(206,1),(210,1),(211,1),(229,1)}
        64:{1,2,3,7}:{(35,1),(46,1),(57,1),(98,1)}
        65:{1,2,4,6}:{(35,1),(36,1),(47,1),(58,1),(98,1),(99,1),(166,1)}
        66:{1,3,5,7}:{(37,1),(40,1),(93,1),(100,1),(101,1),(106,1)}
        67:{1,2,5,6}:{(37,1),(94,1),(101,1),(102,1),(206,1),(229,1)}
        68:{3,5,6,7}:{(38,1),(39,1),(103,1),(104,1),(219,1)}
        69:{1,4,6,7}:{(39,1),(40,1),(100,1),(103,1),(217,1)}
        70:{2,4,6,7}:{(39,1),(41,1),(43,1),(104,1),(182,1)}
        71:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(44,1),(101,1),(105,1),(106,1),(109,1),(168,1),(173,1),(212,1),(214,1)}
        72:{3,5,6}:{(42,1),(106,1),(107,1),(163,1),(210,1)}
        73:{1,2,6,7}:{(43,1),(44,1),(108,1),(166,1)}
        74:{1,3,5,7}:{(44,1),(45,1),(46,1),(106,1),(108,1),(109,1),(173,1)}
        75:{1,4,6}:{(45,1),(107,1),(109,1),(110,1)}
        76:{1,3,4,7}:{(46,1),(47,1),(98,1),(109,1),(111,1),(162,1)}
        77:{1,3,5}:{(47,1),(99,1),(110,1),(163,1)}
        78:{2,3,5,7}:{(48,1),(52,1),(90,1),(112,1),(113,1),(118,1)}
        79:{1,2,5,6}:{(48,1),(91,1),(113,1),(114,1),(206,1),(229,1)}
        80:{3,5,6,7}:{(49,1),(50,1),(115,1),(116,1),(215,1)}
        81:{1,4,6,7}:{(50,1),(51,1),(54,1),(115,1),(174,1)}
        82:{2,4,6,7}:{(50,1),(52,1),(112,1),(116,1),(213,1)}
        83:{1,2,4,5,7}:{(51,1),(52,1),(53,1),(55,1),(113,1),(117,1),(118,1),(121,1),(176,1),(181,1),(216,1),(218,1)}
        84:{3,5,6}:{(53,1),(118,1),(119,1),(163,1),(210,1)}
        85:{1,2,6,7}:{(54,1),(55,1),(120,1),(166,1)}
        86:{2,3,5,7}:{(55,1),(56,1),(57,1),(118,1),(120,1),(121,1),(181,1)}
        87:{2,4,6}:{(56,1),(119,1),(121,1),(122,1)}
        88:{2,3,4,7}:{(57,1),(58,1),(98,1),(121,1),(123,1),(162,1)}
        89:{2,3,5}:{(58,1),(99,1),(122,1),(163,1)}
        90:{2,3,4,7}:{(59,1),(78,1),(125,1),(151,1)}
        91:{1,2,4,6}:{(59,1),(60,1),(79,1),(125,1),(126,1),(148,1)}
        92:{1,3,5}:{(60,1),(126,1),(127,1)}
        93:{1,3,4,7}:{(61,1),(66,1),(128,1),(141,1)}
        94:{1,2,4,6}:{(61,1),(62,1),(67,1),(128,1),(129,1),(138,1)}
        95:{2,3,5}:{(62,1),(129,1),(130,1)}
        96:{1,2,3,5,7}:{(63,1),(64,1),(74,1),(86,1),(132,1),(133,1),(135,1),(137,1),(147,1),(183,1),(190,1),(191,1),(220,1)}
        97:{1,2,4,6}:{(63,1),(75,1),(87,1),(131,1),(133,1),(134,1),(138,1),(148,1)}
        98:{1,2,4,7}:{(64,1),(65,1),(76,1),(88,1),(135,1)}
        99:{1,2,5}:{(65,1),(77,1),(89,1)}
       100:{1,3,6,7}:{(66,1),(69,1),(136,1),(140,1),(221,1)}
       101:{1,2,5,7}:{(66,1),(67,1),(128,1),(136,1),(137,1)}
       102:{2,3,5,6}:{(67,1),(72,1),(129,1),(137,1),(138,1),(188,1),(222,1),(225,1)}
       103:{1,5,6,7}:{(68,1),(69,1),(227,1)}
       104:{2,5,6,7}:{(68,1),(70,1),(204,1)}
       105:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(73,1),(136,1),(139,1),(140,1),(143,1),(192,1),(193,1),(195,1)}
       106:{3,5,7}:{(71,1),(72,1),(140,1),(141,1)}
       107:{3,4,6}:{(72,1),(75,1),(138,1),(141,1),(142,1)}
       108:{1,3,6,7}:{(73,1),(74,1),(140,1),(143,1),(145,1)}
       109:{1,4,7}:{(74,1),(75,1),(141,1)}
       110:{1,4,5}:{(75,1),(77,1),(142,1)}
       111:{1,3,5,7}:{(76,1),(77,1),(135,1),(144,1),(145,1),(190,1)}
       112:{2,3,6,7}:{(78,1),(82,1),(146,1),(150,1),(222,1)}
       113:{1,2,5,7}:{(78,1),(79,1),(125,1),(146,1),(147,1)}
       114:{1,3,5,6}:{(79,1),(84,1),(126,1),(147,1),(148,1),(186,1),(221,1),(227,1)}
       115:{1,5,6,7}:{(80,1),(81,1),(198,1)}
       116:{2,5,6,7}:{(80,1),(82,1),(225,1)}
       117:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(85,1),(146,1),(149,1),(150,1),(153,1),(192,1),(199,1),(201,1)}
       118:{3,5,7}:{(83,1),(84,1),(150,1),(151,1)}
       119:{3,4,6}:{(84,1),(87,1),(148,1),(151,1),(152,1)}
       120:{2,3,6,7}:{(85,1),(86,1),(150,1),(153,1),(155,1)}
       121:{2,4,7}:{(86,1),(87,1),(151,1)}
       122:{2,4,5}:{(87,1),(89,1),(152,1)}
       123:{2,3,5,7}:{(88,1),(89,1),(135,1),(154,1),(155,1),(190,1)}
       124:{1,2,3,5}:{(92,1),(95,1),(156,1),(157,1),(206,1)}
       125:{1,2,4,7}:{(90,1),(91,1),(113,1),(158,1),(176,1)}
       126:{1,3,6}:{(91,1),(92,1),(158,1)}
       127:{1,3,4}:{(92,1),(157,1)}
       128:{1,2,4,7}:{(93,1),(94,1),(101,1),(160,1),(168,1)}
       129:{2,3,6}:{(94,1),(95,1),(160,1)}
       130:{2,3,4}:{(95,1),(157,1)}
       131:{3,4,6}:{(97,1),(162,1),(163,1),(210,1)}
       132:{1,2,3,6,7}:{(96,1),(108,1),(120,1),(164,1),(166,1),(167,1),(175,1),(210,1),(229,1)}
       133:{1,2,4,7}:{(96,1),(97,1),(109,1),(121,1),(162,1),(168,1),(176,1)}
       134:{1,2,4,5}:{(97,1),(99,1),(110,1),(122,1),(163,1),(169,1),(177,1),(206,1)}
       135:{1,2,5,7}:{(98,1),(99,1),(111,1),(123,1),(166,1)}
       136:{1,2,6,7}:{(100,1),(101,1),(167,1),(229,1)}
       137:{2,3,5,7}:{(101,1),(102,1),(106,1),(160,1),(167,1),(168,1),(212,1)}
       138:{2,4,6}:{(102,1),(107,1),(168,1),(169,1)}
       139:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(170,1),(173,1),(211,1),(212,1)}
       140:{3,6,7}:{(105,1),(106,1),(210,1)}
       141:{3,4,7}:{(106,1),(107,1),(109,1),(168,1)}
       142:{3,4,5}:{(107,1),(110,1),(163,1),(169,1)}
       143:{1,4,6,7}:{(108,1),(109,1),(171,1),(173,1),(174,1)}
       144:{1,4,5,7}:{(109,1),(110,1),(111,1),(172,1),(173,1),(174,1)}
       145:{1,3,6}:{(111,1),(166,1),(174,1),(210,1)}
       146:{1,2,6,7}:{(112,1),(113,1),(175,1),(229,1)}
       147:{1,3,5,7}:{(113,1),(114,1),(118,1),(158,1),(175,1),(176,1),(216,1)}
       148:{1,4,6}:{(114,1),(119,1),(176,1),(177,1)}
       149:{1,2,5,6,7}:{(115,1),(116,1),(117,1),(178,1),(181,1),(211,1),(216,1)}
       150:{3,6,7}:{(117,1),(118,1),(210,1)}
       151:{3,4,7}:{(118,1),(119,1),(121,1),(176,1)}
       152:{3,4,5}:{(119,1),(122,1),(163,1),(177,1)}
       153:{2,4,6,7}:{(120,1),(121,1),(179,1),(181,1),(182,1)}
       154:{2,4,5,7}:{(121,1),(122,1),(123,1),(180,1),(181,1),(182,1)}
       155:{2,3,6}:{(123,1),(166,1),(182,1),(210,1)}
       156:{1,2,3,6}:{(124,1),(126,1),(129,1),(183,1),(184,1)}
       157:{1,2,4}:{(124,1),(127,1),(130,1)}
       158:{1,3,7}:{(125,1),(126,1)}
       159:{1,3,4,6}:{(126,1),(127,1),(131,1),(148,1),(184,1),(185,1),(186,1),(221,1)}
       160:{2,3,7}:{(128,1),(129,1)}
       161:{2,3,4,6}:{(129,1),(130,1),(131,1),(138,1),(184,1),(187,1),(188,1),(222,1)}
       162:{3,4,7}:{(131,1),(133,1),(190,1)}
       163:{3,5}:{(131,1),(134,1)}
       164:{1,2,4,6,7}:{(132,1),(133,1),(143,1),(153,1),(189,1),(191,1),(192,1),(193,1),(199,1)}
       165:{1,2,4,5,7}:{(133,1),(134,1),(135,1),(144,1),(154,1),(190,1),(191,1),(192,1),(194,1),(200,1),(220,1),(223,1)}
       166:{1,2,6}:{(135,1),(145,1),(155,1)}
       167:{2,3,6,7}:{(136,1),(137,1),(140,1),(193,1),(222,1)}
       168:{2,4,7}:{(137,1),(138,1),(141,1)}
       169:{2,4,5}:{(138,1),(142,1),(188,1)}
       170:{3,5,6,7}:{(139,1),(140,1),(195,1),(196,1),(224,1)}
       171:{3,4,6,7}:{(140,1),(141,1),(143,1),(193,1),(195,1),(196,1),(197,1)}
       172:{3,4,5,7}:{(141,1),(142,1),(144,1),(190,1),(194,1),(196,1),(197,1),(223,1)}
       173:{1,5,7}:{(143,1),(196,1),(198,1)}
       174:{1,4,6}:{(144,1),(145,1),(197,1),(198,1)}
       175:{1,3,6,7}:{(146,1),(147,1),(150,1),(199,1),(221,1)}
       176:{1,4,7}:{(147,1),(148,1),(151,1)}
       177:{1,4,5}:{(148,1),(152,1),(186,1)}
       178:{3,5,6,7}:{(149,1),(150,1),(201,1),(202,1),(224,1)}
       179:{3,4,6,7}:{(150,1),(151,1),(153,1),(199,1),(201,1),(202,1),(203,1)}
       180:{3,4,5,7}:{(151,1),(152,1),(154,1),(190,1),(200,1),(202,1),(203,1),(223,1)}
       181:{2,5,7}:{(153,1),(202,1),(204,1)}
       182:{2,4,6}:{(154,1),(155,1),(203,1),(204,1)}
       183:{1,2,3,7}:{(156,1),(158,1),(160,1),(205,1)}
       184:{1,2,4,6}:{(156,1),(157,1),(159,1),(161,1),(205,1),(206,1),(229,1)}
       185:{1,3,4,7}:{(158,1),(159,1),(162,1),(176,1),(205,1),(207,1)}
       186:{1,3,5}:{(159,1),(163,1),(177,1),(206,1)}
       187:{2,3,4,7}:{(160,1),(161,1),(162,1),(168,1),(205,1),(208,1)}
       188:{2,3,5}:{(161,1),(163,1),(169,1),(206,1)}
       189:{3,4,6,7}:{(162,1),(164,1),(209,1),(210,1),(230,1)}
       190:{3,5,7}:{(162,1),(163,1),(165,1),(210,1)}
       191:{1,2,5,7}:{(164,1),(173,1),(181,1),(209,1),(211,1),(212,1),(216,1)}
       192:{1,2,4,6}:{(165,1),(166,1),(174,1),(182,1),(210,1),(211,1),(213,1),(217,1),(229,1),(230,1)}
       193:{2,4,6,7}:{(167,1),(168,1),(171,1),(212,1),(213,1)}
       194:{2,4,5,7}:{(168,1),(169,1),(172,1),(208,1),(212,1),(213,1)}
       195:{4,6,7}:{(170,1),(214,1),(230,1)}
       196:{3,5,7}:{(171,1),(173,1),(212,1),(214,1),(215,1)}
       197:{3,4,6}:{(172,1),(174,1),(210,1),(213,1),(215,1),(230,1)}
       198:{1,5,6}:{(173,1),(174,1),(215,1)}
       199:{1,4,6,7}:{(175,1),(176,1),(179,1),(216,1),(217,1)}
       200:{1,4,5,7}:{(176,1),(177,1),(180,1),(207,1),(216,1),(217,1)}
       201:{4,6,7}:{(178,1),(218,1),(230,1)}
       202:{3,5,7}:{(179,1),(181,1),(216,1),(218,1),(219,1)}
       203:{3,4,6}:{(180,1),(182,1),(210,1),(217,1),(219,1),(230,1)}
       204:{2,5,6}:{(181,1),(182,1),(219,1)}
       205:{1,2,4,7}:{(183,1),(184,1),(185,1),(187,1),(220,1)}
       206:{1,2,5}:{(184,1),(186,1),(188,1)}
       207:{1,3,5,7}:{(185,1),(186,1),(190,1),(200,1),(220,1),(221,1)}
       208:{2,3,5,7}:{(187,1),(188,1),(190,1),(194,1),(220,1),(222,1)}
       209:{3,5,7}:{(189,1),(191,1),(223,1),(224,1)}
       210:{3,6}:{(190,1),(192,1)}
       211:{1,2,5,6}:{(191,1),(192,1),(198,1),(204,1),(224,1),(225,1),(227,1)}
       212:{2,5,7}:{(193,1),(196,1),(225,1)}
       213:{2,4,6}:{(194,1),(197,1),(222,1),(225,1)}
       214:{4,5,7}:{(195,1),(196,1),(226,1)}
       215:{3,5,6}:{(196,1),(197,1),(198,1),(225,1),(226,1)}
       216:{1,5,7}:{(199,1),(202,1),(227,1)}
       217:{1,4,6}:{(200,1),(203,1),(221,1),(227,1)}
       218:{4,5,7}:{(201,1),(202,1),(228,1)}
       219:{3,5,6}:{(202,1),(203,1),(204,1),(227,1),(228,1)}
       220:{1,2,5,7}:{(205,1),(206,1),(207,1),(208,1),(229,1)}
       221:{1,3,6}:{(207,1),(210,1),(217,1),(229,1)}
       222:{2,3,6}:{(208,1),(210,1),(213,1),(229,1)}
       223:{4,5,7}:{(209,1),(230,1)}
       224:{3,5,6}:{(209,1),(210,1),(211,1),(230,1)}
       225:{2,5,6}:{(212,1),(213,1),(215,1)}
       226:{4,5,6}:{(214,1),(215,1),(230,1)}
       227:{1,5,6}:{(216,1),(217,1),(219,1)}
       228:{4,5,6}:{(218,1),(219,1),(230,1)}
       229:{1,2,6}:{(220,1),(221,1),(222,1)}
       230:{4,6}:{(223,1),(224,1)}

1698 :   0:{1,4,5,6,7}:{(1,1),(12,1),(119,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(147,1)}
         2:{1,3,4,5,7}:{(7,1),(8,1),(10,1),(59,1),(73,1),(76,1),(108,1),(116,1),(123,1),(126,1)}
         3:{1,3,4,6,7}:{(7,1),(10,1),(11,1),(12,1),(39,1),(73,1),(78,1)}
         4:{3,4,6,7}:{(1,1),(9,1),(12,1),(13,1),(39,1),(130,1)}
         5:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(14,1),(39,1),(77,1)}
         6:{2,5,6,7}:{(1,1),(13,1),(171,1)}
         7:{1,3,4,6}:{(2,1),(16,1),(17,1),(89,1),(102,1),(152,1),(154,1)}
         8:{1,2,4,5,7}:{(2,1),(17,1),(18,1),(21,1),(42,1),(53,1),(86,1),(90,1)}
         9:{3,4,5,7}:{(4,1),(15,1),(19,1),(20,1),(52,1)}
        10:{1,3,5,7}:{(3,1),(16,1),(19,1),(21,1),(52,1),(104,1)}
        11:{1,2,4,6,7}:{(3,1),(17,1),(21,1),(22,1),(53,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(19,1),(102,1)}
        13:{2,4,6,7}:{(4,1),(6,1),(20,1),(23,1),(156,1)}
        14:{1,2,5,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(96,1),(104,1)}
        15:{3,4,5,6}:{(9,1),(27,1),(28,1),(65,1),(130,1),(161,1)}
        16:{1,3,5,6}:{(7,1),(10,1),(27,1),(29,1),(65,1),(108,1),(132,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(29,1),(30,1),(66,1)}
        18:{2,3,5,7}:{(8,1),(30,1),(31,1),(67,1),(123,1)}
        19:{1,4,5,7}:{(9,1),(10,1),(12,1),(27,1)}
        20:{2,4,5,7}:{(9,1),(13,1),(28,1),(33,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(29,1),(35,1)}
        22:{2,3,6,7}:{(11,1),(30,1),(35,1),(39,1)}
        23:{2,3,6,7}:{(13,1),(33,1),(38,1),(39,1),(174,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(34,1),(38,1),(39,1),(40,1),(78,1),(124,1)}
        25:{2,3,5,6,7}:{(14,1),(35,1),(39,1),(40,1),(75,1),(79,1)}
        26:{1,2,3,5,7}:{(18,1),(41,1),(42,1),(83,1),(86,1)}
        27:{1,4,5,6}:{(15,1),(16,1),(19,1),(102,1),(135,1)}
        28:{2,4,5,6}:{(15,1),(20,1),(43,1),(156,1),(180,1)}
        29:{1,2,5,6}:{(16,1),(17,1),(21,1),(45,1),(86,1)}
        30:{2,3,6}:{(17,1),(18,1),(152,1)}
        31:{2,3,4,7}:{(18,1),(42,1),(46,1),(53,1),(94,1)}
        32:{1,2,3,6,7}:{(22,1),(41,1),(49,1),(50,1),(56,1),(137,1),(152,1),(190,1),(191,1)}
        33:{2,3,5,7}:{(20,1),(23,1),(43,1),(48,1),(51,1),(52,1)}
        34:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(24,1),(44,1),(51,1),(52,1),(53,1),(58,1),(97,1),(104,1)}
        35:{2,3,5,7}:{(21,1),(22,1),(45,1),(52,1),(53,1)}
        36:{2,3,4,6,7}:{(22,1),(46,1),(50,1),(53,1),(54,1),(57,1),(94,1),(99,1),(152,1)}
        37:{1,3,4,6,7}:{(50,1),(55,1),(82,1),(94,1),(102,1),(137,1),(152,1),(157,1),(183,1)}
        38:{1,2,6,7}:{(23,1),(51,1),(56,1),(190,1)}
        39:{3,6,7}:{(24,1),(52,1),(152,1)}
        40:{2,4,6,7}:{(25,1),(53,1),(57,1),(58,1),(99,1)}
        41:{1,2,3,6}:{(26,1),(30,1),(62,1),(109,1)}
        42:{1,2,4,7}:{(26,1),(31,1),(59,1),(62,1)}
        43:{2,3,5,6}:{(28,1),(33,1),(60,1),(64,1),(65,1),(165,1),(174,1)}
        44:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(34,1),(64,1),(65,1),(66,1),(80,1),(112,1),(115,1),(124,1),(132,1)}
        45:{2,3,5,6}:{(29,1),(30,1),(35,1),(65,1),(66,1),(67,1)}
        46:{2,3,4,6}:{(30,1),(31,1),(62,1),(66,1),(67,1),(111,1)}
        47:{2,3,4,5,7}:{(31,1),(63,1),(67,1),(68,1),(74,1),(118,1),(123,1),(129,1),(161,1),(197,1)}
        48:{2,3,4,7}:{(33,1),(60,1),(69,1),(73,1)}
        49:{1,2,3,5,7}:{(32,1),(35,1),(61,1),(70,1),(71,1),(72,1),(120,1),(123,1),(163,1),(173,1),(199,1)}
        50:{1,2,4,6,7}:{(32,1),(36,1),(37,1),(62,1),(70,1),(71,1),(78,1),(124,1),(178,1)}
        51:{1,2,5,7}:{(33,1),(38,1),(64,1),(69,1),(72,1)}
        52:{3,5,7}:{(34,1),(39,1),(65,1),(73,1)}
        53:{2,4,7}:{(35,1),(66,1),(73,1)}
        54:{2,3,5,7}:{(36,1),(67,1),(71,1),(74,1),(75,1),(79,1),(123,1)}
        55:{1,3,5,7}:{(37,1),(71,1),(76,1),(77,1),(108,1),(123,1),(172,1)}
        56:{1,3,6,7}:{(38,1),(39,1),(72,1),(78,1),(175,1)}
        57:{3,4,6,7}:{(39,1),(40,1),(73,1),(78,1),(79,1),(127,1)}
        58:{2,4,5,7}:{(40,1),(79,1),(80,1)}
        59:{1,3,4,7}:{(42,1),(82,1),(83,1),(94,1),(183,1)}
        60:{2,3,4,6}:{(43,1),(48,1),(81,1),(84,1),(89,1)}
        61:{1,2,3,5,6}:{(41,1),(45,1),(49,1),(85,1),(86,1),(88,1),(96,1),(136,1),(138,1),(141,1),(152,1),(184,1),(185,1),(190,1)}
        62:{1,2,4,6}:{(41,1),(42,1),(46,1),(82,1),(86,1)}
        63:{1,2,4,5,7}:{(42,1),(47,1),(83,1),(86,1),(87,1),(135,1),(143,1),(183,1)}
        64:{1,2,5,6}:{(43,1),(51,1),(84,1),(88,1),(184,1),(190,1)}
        65:{3,5,6}:{(44,1),(52,1),(89,1),(141,1),(152,1)}
        66:{2,4,6}:{(45,1),(53,1),(89,1),(90,1)}
        67:{2,3,5}:{(46,1),(86,1),(90,1),(141,1)}
        68:{2,3,4,6}:{(47,1),(87,1),(91,1),(99,1),(152,1),(156,1),(182,1)}
        69:{1,2,4,7}:{(48,1),(51,1),(84,1),(93,1),(97,1)}
        70:{1,2,4,7}:{(49,1),(53,1),(85,1),(94,1),(97,1),(183,1),(204,1)}
        71:{1,2,5,7}:{(50,1),(54,1),(55,1),(86,1),(96,1),(104,1),(189,1)}
        72:{1,3,5,7}:{(51,1),(52,1),(56,1),(88,1),(93,1),(97,1),(104,1)}
        73:{3,4,7}:{(52,1),(53,1),(89,1),(97,1)}
        74:{2,4,5,7}:{(53,1),(54,1),(90,1),(98,1),(99,1)}
        75:{2,3,5,6}:{(54,1),(96,1),(99,1),(105,1),(152,1)}
        76:{1,4,5,7}:{(55,1),(101,1),(102,1),(135,1),(183,1)}
        77:{1,3,5,6}:{(55,1),(96,1),(102,1),(147,1),(152,1)}
        78:{1,4,6,7}:{(56,1),(57,1),(97,1),(104,1),(154,1)}
        79:{3,5,7}:{(57,1),(58,1),(104,1),(105,1)}
        80:{2,4,5,6}:{(58,1),(99,1),(105,1)}
        81:{2,3,4,5}:{(60,1),(107,1),(116,1),(165,1),(193,1)}
        82:{1,3,4,6}:{(59,1),(62,1),(108,1),(109,1),(111,1),(162,1)}
        83:{1,3,5,7}:{(59,1),(63,1),(108,1),(109,1),(123,1)}
        84:{1,2,4,6}:{(60,1),(64,1),(69,1),(107,1),(110,1),(115,1)}
        85:{1,2,4,6}:{(61,1),(66,1),(70,1),(111,1),(112,1),(115,1),(162,1),(195,1)}
        86:{1,2,5}:{(62,1),(67,1),(108,1)}
        87:{1,2,4,6}:{(63,1),(68,1),(109,1),(113,1),(162,1)}
        88:{1,3,5,6}:{(64,1),(65,1),(72,1),(110,1),(115,1),(132,1),(166,1),(175,1)}
        89:{3,4,6}:{(65,1),(66,1),(73,1),(115,1),(116,1)}
        90:{2,4,5}:{(66,1),(67,1),(116,1)}
        91:{2,3,5,6}:{(67,1),(68,1),(113,1),(117,1),(118,1),(167,1),(171,1)}
        92:{2,3,4,6,7}:{(68,1),(114,1),(118,1),(128,1),(176,1),(178,1),(197,1)}
        93:{1,3,7}:{(69,1),(110,1)}
        94:{3,4,7}:{(70,1),(111,1),(123,1)}
        95:{1,2,4,5,7}:{(70,1),(71,1),(74,1),(76,1),(112,1),(123,1),(124,1),(126,1),(129,1),(173,1)}
        96:{1,2,5,6}:{(71,1),(75,1),(77,1),(124,1),(132,1),(171,1)}
        97:{1,4,7}:{(72,1),(73,1),(115,1)}
        98:{3,4,5,7}:{(73,1),(74,1),(79,1),(116,1),(123,1),(126,1),(127,1)}
        99:{2,4,6}:{(74,1),(75,1),(127,1)}
       100:{2,3,5,6,7}:{(75,1),(118,1),(125,1),(128,1),(133,1),(176,1)}
       101:{3,4,5,7}:{(76,1),(123,1),(129,1),(130,1),(161,1),(172,1),(197,1)}
       102:{1,4,6}:{(76,1),(77,1),(130,1)}
       103:{1,3,5,6,7}:{(77,1),(125,1),(131,1),(163,1),(172,1),(176,1)}
       104:{1,5,7}:{(78,1),(79,1),(132,1)}
       105:{3,5,6}:{(79,1),(80,1),(127,1),(132,1)}
       106:{2,4,5,6,7}:{(80,1),(128,1),(133,1)}
       107:{1,2,4,5}:{(81,1),(84,1),(134,1),(144,1),(179,1),(184,1)}
       108:{1,3,5}:{(82,1),(86,1),(135,1),(141,1)}
       109:{1,3,6}:{(83,1),(87,1),(152,1)}
       110:{1,3,6}:{(84,1),(93,1),(134,1)}
       111:{3,4,6}:{(85,1),(94,1),(141,1),(152,1)}
       112:{1,2,4,5}:{(85,1),(86,1),(90,1),(135,1),(141,1),(144,1),(180,1),(184,1)}
       113:{1,2,5,6}:{(86,1),(87,1),(91,1),(136,1),(143,1)}
       114:{1,2,4,6,7}:{(87,1),(92,1),(137,1),(143,1),(183,1)}
       115:{1,4,6}:{(88,1),(89,1),(97,1),(144,1)}
       116:{3,4,5}:{(89,1),(90,1),(141,1),(144,1)}
       117:{2,4,5,6}:{(90,1),(91,1),(99,1),(145,1),(146,1)}
       118:{2,3,5,7}:{(91,1),(92,1),(143,1),(146,1),(187,1),(189,1)}
       119:{1,4,5,6}:{(102,1),(147,1),(148,1)}
       120:{1,2,3,7}:{(93,1),(138,1),(149,1),(209,1)}
       121:{2,3,4,7}:{(94,1),(139,1),(149,1),(150,1),(204,1),(209,1)}
       122:{1,3,4,7}:{(93,1),(94,1),(97,1),(140,1),(149,1),(151,1)}
       123:{3,5,7}:{(94,1),(95,1),(141,1),(152,1)}
       124:{1,2,4,6}:{(95,1),(96,1),(99,1),(102,1),(152,1),(154,1),(156,1),(190,1)}
       125:{1,2,5,6,7}:{(96,1),(100,1),(103,1),(143,1),(153,1),(158,1),(189,1)}
       126:{1,4,5,7}:{(97,1),(98,1),(104,1),(144,1),(151,1),(154,1)}
       127:{3,4,6}:{(98,1),(99,1),(105,1),(152,1),(154,1)}
       128:{2,4,6,7}:{(99,1),(100,1),(146,1),(155,1)}
       129:{2,4,5,7}:{(101,1),(150,1),(156,1),(180,1),(189,1),(204,1)}
       130:{3,4,6}:{(101,1),(102,1),(147,1),(152,1),(156,1)}
       131:{1,4,6,7}:{(102,1),(103,1),(148,1),(157,1),(183,1)}
       132:{1,5,6}:{(104,1),(105,1),(154,1)}
       133:{3,5,6,7}:{(105,1),(106,1),(155,1),(158,1)}
       134:{1,3,5}:{(107,1),(110,1),(160,1)}
       135:{1,4,5}:{(108,1),(161,1),(162,1)}
       136:{1,3,5,6}:{(108,1),(109,1),(113,1),(162,1),(163,1),(167,1)}
       137:{1,3,6,7}:{(109,1),(114,1),(163,1),(176,1)}
       138:{1,2,3,6}:{(110,1),(120,1),(159,1),(164,1),(207,1)}
       139:{2,3,4,6}:{(111,1),(121,1),(164,1),(165,1),(174,1),(193,1),(195,1),(207,1)}
       140:{1,3,4,6}:{(110,1),(111,1),(115,1),(122,1),(160,1),(164,1),(166,1),(175,1)}
       141:{3,5}:{(111,1),(112,1)}
       142:{1,2,4,5,6}:{(112,1),(113,1),(117,1),(119,1),(124,1),(162,1),(167,1),(168,1),(169,1),(171,1),(195,1),(198,1)}
       143:{1,2,5,7}:{(113,1),(114,1),(118,1),(163,1)}
       144:{1,4,5}:{(115,1),(116,1),(166,1)}
       145:{3,4,5,6}:{(116,1),(117,1),(127,1),(167,1),(169,1),(170,1)}
       146:{2,4,5,7}:{(117,1),(118,1),(128,1),(170,1)}
       147:{3,5,6}:{(119,1),(130,1),(171,1),(172,1)}
       148:{1,4,5,7}:{(119,1),(131,1),(172,1)}
       149:{1,2,4,7}:{(120,1),(121,1),(122,1),(164,1),(173,1)}
       150:{2,3,5,7}:{(121,1),(123,1),(129,1),(165,1),(173,1),(174,1)}
       151:{1,3,5,7}:{(122,1),(123,1),(126,1),(166,1),(173,1),(175,1)}
       152:{3,6}:{(123,1),(124,1)}
       153:{1,2,4,6,7}:{(124,1),(125,1),(128,1),(131,1),(168,1),(176,1),(177,1),(178,1),(201,1)}
       154:{1,4,6}:{(126,1),(127,1),(132,1),(175,1)}
       155:{3,4,6,7}:{(127,1),(128,1),(133,1),(170,1),(176,1),(177,1)}
       156:{2,4,6}:{(129,1),(130,1),(171,1),(174,1)}
       157:{3,4,6,7}:{(130,1),(131,1),(172,1),(176,1),(178,1),(197,1)}
       158:{1,5,6,7}:{(132,1),(133,1),(177,1)}
       159:{1,2,3,5}:{(134,1),(138,1),(179,1),(184,1),(202,1)}
       160:{1,3,4}:{(134,1),(179,1)}
       161:{3,4,5}:{(135,1),(141,1),(180,1),(182,1)}
       162:{1,4,6}:{(135,1),(136,1),(182,1),(183,1)}
       163:{1,3,5,7}:{(136,1),(137,1),(143,1),(183,1),(187,1)}
       164:{1,2,4,6}:{(138,1),(139,1),(140,1),(149,1),(179,1),(184,1),(190,1)}
       165:{2,3,5}:{(139,1),(141,1),(180,1),(184,1)}
       166:{1,3,5}:{(140,1),(141,1),(144,1),(184,1)}
       167:{3,5,6}:{(141,1),(142,1),(152,1),(182,1),(187,1)}
       168:{1,2,4,5,7}:{(142,1),(143,1),(146,1),(148,1),(153,1),(183,1),(187,1),(188,1),(189,1),(204,1),(206,1)}
       169:{1,4,5,6}:{(144,1),(145,1),(154,1),(186,1),(188,1)}
       170:{3,4,5,7}:{(145,1),(146,1),(155,1),(187,1),(188,1)}
       171:{2,5,6}:{(147,1),(156,1),(189,1)}
       172:{3,5,7}:{(147,1),(148,1),(157,1),(189,1)}
       173:{1,2,5,7}:{(149,1),(150,1),(151,1),(184,1),(190,1)}
       174:{2,3,6}:{(150,1),(152,1),(156,1),(190,1)}
       175:{1,3,6}:{(151,1),(152,1),(154,1),(190,1)}
       176:{3,6,7}:{(152,1),(153,1),(187,1)}
       177:{1,4,6,7}:{(154,1),(155,1),(158,1),(188,1),(192,1)}
       178:{2,4,6,7}:{(156,1),(157,1),(189,1),(191,1),(204,1)}
       179:{1,2,4}:{(159,1),(160,1),(193,1)}
       180:{2,4,5}:{(161,1),(165,1),(195,1)}
       181:{1,3,4,5}:{(160,1),(161,1),(166,1),(194,1),(196,1)}
       182:{3,4,6}:{(161,1),(162,1),(167,1),(195,1),(197,1)}
       183:{1,4,7}:{(162,1),(163,1),(197,1)}
       184:{1,2,5}:{(164,1),(165,1),(166,1)}
       185:{2,3,5,6}:{(165,1),(167,1),(171,1),(174,1),(195,1),(198,1),(199,1),(207,1)}
       186:{1,3,5,6}:{(166,1),(167,1),(169,1),(175,1),(196,1),(198,1),(200,1)}
       187:{3,5,7}:{(167,1),(168,1),(176,1),(197,1)}
       188:{1,4,5,7}:{(169,1),(170,1),(177,1),(200,1)}
       189:{2,5,7}:{(171,1),(172,1),(178,1)}
       190:{1,2,6}:{(173,1),(174,1),(175,1)}
       191:{2,3,6,7}:{(174,1),(176,1),(178,1),(199,1),(201,1)}
       192:{1,3,6,7}:{(175,1),(176,1),(177,1),(200,1),(201,1)}
       193:{2,3,4}:{(179,1),(202,1)}
       194:{1,2,4,5}:{(179,1),(180,1),(181,1),(184,1),(202,1),(203,1)}
       195:{2,4,6}:{(180,1),(182,1),(185,1),(204,1)}
       196:{1,3,4,6}:{(181,1),(182,1),(186,1),(203,1),(205,1)}
       197:{3,4,7}:{(182,1),(183,1),(187,1),(204,1)}
       198:{1,2,5,6}:{(184,1),(185,1),(186,1),(190,1),(203,1),(206,1)}
       199:{2,3,5,7}:{(185,1),(187,1),(189,1),(191,1),(204,1),(206,1),(209,1)}
       200:{1,3,5,7}:{(186,1),(187,1),(188,1),(192,1),(205,1),(206,1)}
       201:{1,2,6,7}:{(190,1),(191,1),(192,1),(206,1)}
       202:{2,3,5}:{(193,1),(194,1),(207,1)}
       203:{1,2,4,6}:{(194,1),(195,1),(196,1),(198,1),(207,1),(208,1)}
       204:{2,4,7}:{(195,1),(197,1),(199,1)}
       205:{1,3,4,7}:{(196,1),(197,1),(200,1),(208,1)}
       206:{1,2,5,7}:{(198,1),(199,1),(200,1),(201,1),(208,1)}
       207:{2,3,6}:{(202,1),(203,1),(209,1)}
       208:{1,2,4,7}:{(203,1),(204,1),(205,1),(206,1),(209,1)}
       209:{2,3,7}:{(207,1),(208,1)}

1699 :   0:{2,3,4,5,6}:{(2,1),(3,1),(34,1),(56,1),(84,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(19,1),(92,1)}
         2:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(42,1),(45,1),(71,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(23,1),(70,1),(72,1)}
         4:{1,4,5,6,7}:{(1,1),(9,1),(99,1)}
         5:{2,4,5,6,7}:{(1,1),(10,1),(83,1)}
         6:{2,3,4,6,7}:{(2,1),(10,1),(12,1),(29,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(12,1),(13,1),(32,1),(55,1),(58,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(15,1)}
         9:{1,3,5,6,7}:{(4,1),(16,1),(17,1),(19,1),(90,1)}
        10:{2,3,5,6,7}:{(5,1),(6,1),(18,1),(19,1),(71,1)}
        11:{1,2,4,5,6,7}:{(4,1),(5,1),(17,1),(18,1),(19,1),(40,1),(41,1),(68,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(18,1),(20,1),(41,1)}
        13:{1,3,5,7}:{(7,1),(8,1),(20,1),(22,1)}
        14:{1,2,3,5,6}:{(8,1),(21,1),(23,1),(48,1),(72,1),(73,1)}
        15:{1,3,4,6}:{(8,1),(22,1),(23,1),(24,1)}
        16:{1,3,4,6,7}:{(9,1),(25,1),(26,1),(29,1)}
        17:{1,2,5,6,7}:{(9,1),(26,1),(27,1),(79,1)}
        18:{1,2,5,6,7}:{(10,1),(12,1),(28,1),(58,1)}
        19:{3,5,6,7}:{(11,1),(29,1),(81,1)}
        20:{1,3,6,7}:{(12,1),(13,1)}
        21:{1,2,3,5,7}:{(13,1),(14,1),(30,1),(32,1),(58,1),(60,1)}
        22:{1,3,4,7}:{(13,1),(15,1),(32,1)}
        23:{1,2,4,6}:{(14,1),(15,1),(32,1),(34,1),(35,1)}
        24:{1,3,4,5}:{(15,1),(35,1)}
        25:{1,3,4,5,7}:{(16,1),(36,1),(37,1),(42,1),(87,1),(90,1)}
        26:{1,2,4,6,7}:{(16,1),(17,1),(37,1),(38,1),(40,1)}
        27:{2,3,5,6,7}:{(17,1),(19,1),(38,1),(40,1),(66,1)}
        28:{1,3,5,6,7}:{(18,1),(19,1),(20,1),(41,1),(44,1)}
        29:{3,4,6,7}:{(19,1),(40,1),(41,1),(42,1)}
        30:{1,2,3,6,7}:{(20,1),(21,1),(43,1),(73,1)}
        31:{1,3,4,6,7}:{(20,1),(22,1),(41,1),(43,1),(44,1),(47,1),(67,1)}
        32:{1,2,4,7}:{(21,1),(22,1),(23,1),(45,1)}
        33:{1,3,4,5,7}:{(22,1),(24,1),(44,1),(46,1),(47,1),(92,1)}
        34:{2,3,4,6}:{(23,1),(45,1),(48,1),(73,1)}
        35:{1,2,4,5}:{(23,1),(24,1),(48,1)}
        36:{1,3,4,5,6}:{(25,1),(49,1),(56,1),(95,1),(100,1)}
        37:{1,2,4,5,7}:{(25,1),(26,1),(49,1),(50,1),(54,1),(76,1),(79,1)}
        38:{2,3,6,7}:{(26,1),(50,1)}
        39:{1,2,3,5,6,7}:{(27,1),(28,1),(30,1),(51,1),(53,1),(58,1),(79,1),(81,1),(84,1),(100,1)}
        40:{2,4,6,7}:{(27,1),(29,1),(54,1)}
        41:{1,4,6,7}:{(28,1),(29,1),(55,1)}
        42:{3,4,5,7}:{(29,1),(54,1),(55,1),(56,1),(81,1)}
        43:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(57,1),(58,1),(61,1)}
        44:{1,3,5,7}:{(31,1),(55,1),(58,1),(59,1),(81,1)}
        45:{2,3,4,7}:{(32,1),(34,1),(60,1)}
        46:{1,2,4,5,7}:{(32,1),(33,1),(35,1),(58,1),(60,1),(61,1),(83,1)}
        47:{1,3,4,6}:{(33,1),(59,1),(61,1),(101,1)}
        48:{2,3,5}:{(34,1),(35,1)}
        49:{1,2,4,5,6}:{(36,1),(37,1),(62,1),(69,1),(85,1),(91,1)}
        50:{2,3,5,7}:{(37,1),(38,1),(62,1),(64,1)}
        51:{1,2,3,6,7}:{(38,1),(63,1),(65,1),(103,1)}
        52:{2,3,4,6,7}:{(38,1),(40,1),(64,1),(65,1),(66,1),(67,1),(89,1)}
        53:{1,2,4,6,7}:{(39,1),(40,1),(41,1),(67,1),(68,1),(94,1),(104,1)}
        54:{2,4,5,7}:{(40,1),(42,1),(66,1),(69,1)}
        55:{1,4,5,7}:{(41,1),(42,1),(44,1),(70,1)}
        56:{3,4,5,6}:{(42,1),(69,1),(70,1),(93,1)}
        57:{2,3,4,6,7}:{(43,1),(45,1),(67,1),(71,1),(73,1),(94,1)}
        58:{1,2,5,7}:{(43,1),(44,1),(71,1),(72,1)}
        59:{1,3,5,6}:{(44,1),(47,1),(70,1),(72,1),(93,1)}
        60:{2,3,5,7}:{(45,1),(46,1),(48,1),(73,1)}
        61:{1,2,4,6}:{(46,1),(47,1),(72,1),(73,1),(94,1)}
        62:{2,3,5,6}:{(49,1),(50,1),(75,1)}
        63:{1,2,3,5,7}:{(50,1),(51,1),(74,1),(76,1),(79,1),(97,1)}
        64:{2,3,4,7}:{(50,1),(75,1),(76,1)}
        65:{1,2,4,6,7}:{(51,1),(52,1),(76,1),(78,1),(79,1),(98,1)}
        66:{2,3,5,7}:{(52,1),(54,1),(79,1),(80,1),(81,1)}
        67:{3,4,6,7}:{(53,1),(81,1),(101,1)}
        68:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(58,1),(79,1),(81,1),(82,1),(83,1),(99,1)}
        69:{2,4,5,6}:{(54,1),(56,1),(80,1)}
        70:{1,4,5,6}:{(55,1),(56,1),(59,1)}
        71:{2,3,5,7}:{(57,1),(58,1),(81,1),(83,1),(84,1)}
        72:{1,2,5,6}:{(58,1),(59,1),(61,1),(84,1)}
        73:{2,3,6}:{(60,1),(61,1)}
        74:{1,2,3,5,6}:{(62,1),(63,1),(85,1),(91,1),(102,1),(103,1)}
        75:{2,3,4,6}:{(62,1),(64,1),(85,1),(86,1)}
        76:{1,2,4,7}:{(63,1),(64,1),(85,1),(87,1)}
        77:{2,3,4,5,7}:{(64,1),(66,1),(86,1),(88,1),(89,1),(92,1)}
        78:{1,3,4,6,7}:{(65,1),(67,1),(87,1),(90,1),(103,1),(104,1)}
        79:{1,2,5,7}:{(65,1),(66,1),(90,1),(91,1)}
        80:{2,3,5,6}:{(66,1),(69,1),(89,1),(91,1),(93,1)}
        81:{3,5,7}:{(67,1),(68,1),(93,1)}
        82:{1,2,4,5,6}:{(68,1),(69,1),(70,1),(72,1),(91,1),(93,1),(94,1),(104,1)}
        83:{2,4,5,7}:{(71,1),(92,1),(94,1)}
        84:{2,3,5,6}:{(71,1),(72,1),(73,1),(93,1),(94,1)}
        85:{1,2,4,6}:{(74,1),(75,1),(76,1),(95,1),(96,1)}
        86:{2,3,4,5}:{(75,1),(96,1)}
        87:{1,3,4,7}:{(76,1),(95,1),(97,1)}
        88:{1,2,4,5,7}:{(76,1),(77,1),(79,1),(96,1),(97,1),(98,1),(99,1)}
        89:{2,3,4,6}:{(77,1),(80,1),(98,1),(101,1)}
        90:{1,3,5,7}:{(78,1),(79,1),(81,1),(99,1),(100,1)}
        91:{1,2,5,6}:{(79,1),(80,1),(98,1),(100,1)}
        92:{3,4,5,7}:{(81,1),(83,1),(99,1),(101,1)}
        93:{3,5,6}:{(81,1),(82,1),(101,1)}
        94:{2,4,6}:{(83,1),(84,1),(101,1)}
        95:{1,3,4,6}:{(85,1),(87,1),(102,1),(103,1)}
        96:{1,2,4,5}:{(85,1),(86,1),(102,1)}
        97:{1,3,5,7}:{(87,1),(88,1),(102,1),(103,1)}
        98:{1,2,4,6}:{(88,1),(89,1),(91,1),(103,1),(104,1)}
        99:{1,4,5,7}:{(90,1),(92,1),(104,1)}
       100:{1,3,5,6}:{(90,1),(91,1),(93,1),(103,1),(104,1)}
       101:{3,4,6}:{(92,1),(93,1),(94,1),(104,1)}
       102:{1,3,5}:{(95,1),(96,1)}
       103:{1,3,6}:{(97,1),(98,1)}
       104:{1,4,6}:{(99,1),(100,1),(101,1)}

1700 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(21,1),(53,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(34,1),(69,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(24,1),(48,1),(85,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(19,1),(24,1),(47,1),(88,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(20,1),(24,1),(46,1),(87,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(34,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(64,1),(106,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(63,1),(105,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(32,1),(33,1),(108,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(45,1),(85,1),(158,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(17,1),(19,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(18,1),(20,1)}
        12:{1,3,4,6,7}:{(6,1),(19,1),(22,1),(24,1),(26,1),(48,1)}
        13:{2,3,4,6,7}:{(7,1),(20,1),(23,1),(24,1),(41,1),(48,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(21,1),(24,1),(128,1)}
        15:{1,2,3,5,6,7}:{(8,1),(24,1),(25,1),(46,1),(47,1),(49,1),(52,1),(78,1),(86,1),(87,1),(88,1),(131,1),(161,1),(163,1),(172,1)}
        16:{1,3,4,5,7}:{(19,1),(26,1),(27,1),(48,1),(81,1),(84,1),(92,1),(127,1),(132,1)}
        17:{1,4,5,6}:{(9,1),(10,1),(29,1),(106,1),(149,1)}
        18:{2,4,5,6}:{(9,1),(11,1),(30,1),(105,1),(164,1)}
        19:{1,3,5,7}:{(10,1),(12,1),(29,1),(32,1),(34,1)}
        20:{2,3,5,7}:{(11,1),(13,1),(30,1),(33,1),(34,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(31,1),(32,1),(33,1),(34,1),(63,1),(64,1)}
        22:{1,2,4,6,7}:{(12,1),(32,1),(35,1),(39,1),(63,1)}
        23:{1,2,4,6,7}:{(13,1),(33,1),(36,1),(57,1),(64,1)}
        24:{3,6,7}:{(14,1),(34,1),(147,1)}
        25:{1,2,4,6,7}:{(15,1),(37,1),(38,1),(63,1),(64,1),(99,1),(105,1),(106,1),(170,1),(174,1)}
        26:{1,3,4,6}:{(16,1),(29,1),(39,1),(61,1),(106,1),(147,1)}
        27:{1,2,4,5,7}:{(16,1),(32,1),(39,1),(40,1),(63,1),(73,1),(100,1),(112,1)}
        28:{2,3,4,5,7}:{(20,1),(41,1),(42,1),(48,1),(81,1),(83,1),(119,1),(127,1),(153,1)}
        29:{1,3,5,6}:{(17,1),(19,1),(26,1),(43,1),(45,1),(132,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(41,1),(44,1),(45,1),(153,1)}
        31:{1,2,4,5,6}:{(17,1),(18,1),(21,1),(43,1),(44,1),(45,1),(79,1),(80,1),(123,1),(128,1)}
        32:{1,2,5,7}:{(19,1),(22,1),(43,1),(46,1)}
        33:{1,2,5,7}:{(20,1),(23,1),(44,1),(47,1)}
        34:{3,5,7}:{(21,1),(24,1),(45,1),(48,1)}
        35:{2,3,6,7}:{(22,1),(24,1),(46,1),(54,1)}
        36:{1,3,6,7}:{(23,1),(24,1),(47,1),(75,1)}
        37:{3,4,6,7}:{(24,1),(25,1),(48,1),(52,1),(85,1),(122,1),(161,1),(173,1)}
        38:{1,2,4,5,7}:{(25,1),(52,1),(53,1),(83,1),(84,1),(86,1),(123,1)}
        39:{1,2,4,6}:{(26,1),(27,1),(43,1),(54,1),(79,1)}
        40:{2,3,5,7}:{(27,1),(54,1),(56,1),(91,1),(127,1)}
        41:{2,3,4,6}:{(28,1),(30,1),(57,1),(61,1),(105,1),(147,1)}
        42:{1,2,4,5,7}:{(28,1),(33,1),(57,1),(58,1),(64,1),(97,1),(101,1),(138,1)}
        43:{1,2,5,6}:{(29,1),(32,1),(39,1),(59,1),(112,1)}
        44:{1,2,5,6}:{(30,1),(33,1),(57,1),(60,1),(138,1)}
        45:{3,5,6}:{(31,1),(34,1),(61,1),(143,1),(147,1)}
        46:{2,3,5,7}:{(32,1),(34,1),(35,1),(59,1),(63,1)}
        47:{1,3,5,7}:{(33,1),(34,1),(36,1),(60,1),(64,1)}
        48:{3,4,7}:{(34,1),(61,1),(63,1),(64,1)}
        49:{1,2,3,6,7}:{(35,1),(36,1),(62,1),(66,1),(71,1),(95,1),(147,1),(152,1),(167,1)}
        50:{2,3,4,6,7}:{(35,1),(37,1),(63,1),(66,1),(67,1),(72,1),(103,1),(105,1),(137,1),(147,1),(167,1),(174,1)}
        51:{1,3,4,6,7}:{(36,1),(37,1),(64,1),(66,1),(68,1),(96,1),(103,1),(106,1),(111,1),(147,1),(152,1),(170,1)}
        52:{3,5,7}:{(37,1),(38,1),(69,1),(143,1)}
        53:{1,2,4,5,6}:{(38,1),(69,1),(105,1),(106,1),(108,1)}
        54:{2,3,6}:{(39,1),(40,1),(147,1)}
        55:{1,2,3,5,7}:{(40,1),(71,1),(73,1),(112,1),(114,1)}
        56:{2,3,4,7}:{(40,1),(63,1),(72,1),(73,1),(103,1)}
        57:{1,2,4,6}:{(41,1),(42,1),(44,1),(75,1),(80,1)}
        58:{1,3,5,7}:{(42,1),(75,1),(77,1),(118,1),(127,1)}
        59:{2,3,5,6}:{(43,1),(45,1),(46,1),(54,1),(79,1),(91,1)}
        60:{1,3,5,6}:{(44,1),(45,1),(47,1),(75,1),(80,1),(118,1)}
        61:{3,4,6}:{(45,1),(48,1),(79,1),(80,1),(81,1)}
        62:{1,2,3,5,7}:{(46,1),(47,1),(49,1),(78,1),(82,1),(86,1),(127,1),(163,1),(172,1)}
        63:{2,4,7}:{(46,1),(48,1),(79,1)}
        64:{1,4,7}:{(47,1),(48,1),(80,1)}
        65:{3,4,5,7}:{(48,1),(52,1),(81,1),(83,1),(84,1),(85,1),(127,1),(158,1),(173,1)}
        66:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(82,1),(86,1),(90,1),(117,1),(128,1)}
        67:{2,3,5,7}:{(50,1),(52,1),(83,1),(86,1),(87,1),(91,1),(127,1),(153,1)}
        68:{1,3,5,7}:{(51,1),(52,1),(84,1),(86,1),(88,1),(118,1),(127,1),(132,1)}
        69:{3,5,6}:{(52,1),(53,1),(85,1)}
        70:{1,2,4,5,6,7}:{(53,1),(89,1),(129,1),(130,1),(131,1),(160,1)}
        71:{1,2,3,6}:{(54,1),(55,1),(90,1),(135,1)}
        72:{2,3,4,6}:{(54,1),(56,1),(79,1),(90,1),(91,1),(122,1)}
        73:{1,2,4,7}:{(55,1),(56,1),(90,1),(92,1)}
        74:{2,3,4,5,7}:{(56,1),(83,1),(91,1),(93,1),(94,1),(127,1),(134,1),(158,1),(173,1)}
        75:{1,3,6}:{(57,1),(58,1),(147,1)}
        76:{1,2,3,5,7}:{(58,1),(95,1),(97,1),(138,1),(140,1)}
        77:{1,3,4,7}:{(58,1),(64,1),(96,1),(97,1),(103,1)}
        78:{1,2,3,5,6}:{(59,1),(60,1),(62,1),(71,1),(95,1),(99,1),(108,1),(112,1),(138,1),(143,1),(147,1),(150,1),(165,1)}
        79:{2,4,6}:{(59,1),(61,1),(63,1),(100,1)}
        80:{1,4,6}:{(60,1),(61,1),(64,1),(101,1)}
        81:{3,4,5}:{(61,1),(100,1),(101,1),(143,1)}
        82:{1,2,4,7}:{(62,1),(63,1),(64,1),(99,1),(103,1),(170,1),(174,1)}
        83:{2,4,5,7}:{(63,1),(65,1),(67,1),(100,1),(105,1),(164,1),(174,1)}
        84:{1,4,5,7}:{(64,1),(65,1),(68,1),(101,1),(106,1),(149,1),(170,1)}
        85:{3,4,6}:{(65,1),(69,1),(105,1),(106,1),(147,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(108,1),(112,1),(138,1)}
        87:{2,3,5,6}:{(67,1),(69,1),(105,1),(108,1),(147,1)}
        88:{1,3,5,6}:{(68,1),(69,1),(106,1),(108,1),(147,1)}
        89:{3,5,6,7}:{(69,1),(70,1),(107,1),(169,1)}
        90:{1,2,4,6}:{(71,1),(72,1),(73,1),(111,1),(112,1)}
        91:{2,3,5}:{(72,1),(100,1),(112,1),(143,1)}
        92:{1,3,4,7}:{(73,1),(103,1),(111,1),(114,1),(170,1)}
        93:{1,2,4,5,7}:{(73,1),(74,1),(112,1),(114,1),(115,1),(149,1),(151,1),(170,1)}
        94:{2,3,4,6}:{(74,1),(105,1),(113,1),(115,1),(147,1),(168,1)}
        95:{1,2,3,6}:{(75,1),(76,1),(117,1),(156,1)}
        96:{1,3,4,6}:{(75,1),(77,1),(80,1),(117,1),(118,1),(122,1)}
        97:{1,2,4,7}:{(76,1),(77,1),(117,1),(119,1)}
        98:{1,3,4,5,7}:{(77,1),(84,1),(118,1),(120,1),(121,1),(127,1),(155,1),(158,1),(173,1)}
        99:{1,2,4,6}:{(78,1),(79,1),(80,1),(82,1),(122,1),(123,1),(162,1),(171,1)}
       100:{2,4,5}:{(79,1),(81,1),(91,1)}
       101:{1,4,5}:{(80,1),(81,1),(118,1)}
       102:{3,4,5,6}:{(81,1),(85,1),(124,1),(125,1),(126,1),(159,1)}
       103:{3,4,7}:{(82,1),(122,1),(127,1)}
       104:{1,2,4,5,7}:{(82,1),(83,1),(84,1),(86,1),(123,1),(127,1),(128,1)}
       105:{2,4,6}:{(83,1),(85,1),(87,1)}
       106:{1,4,6}:{(84,1),(85,1),(88,1)}
       107:{3,4,6,7}:{(85,1),(89,1),(126,1),(129,1),(130,1),(161,1),(173,1)}
       108:{1,2,5,6}:{(86,1),(87,1),(88,1),(128,1)}
       109:{2,3,5,6,7}:{(87,1),(89,1),(129,1),(131,1),(134,1),(161,1),(172,1)}
       110:{1,3,5,6,7}:{(88,1),(89,1),(130,1),(131,1),(155,1),(161,1),(163,1)}
       111:{1,3,4,6}:{(90,1),(92,1),(122,1),(132,1),(135,1),(162,1)}
       112:{1,2,5}:{(90,1),(91,1),(132,1)}
       113:{2,3,5,6}:{(91,1),(94,1),(124,1),(133,1),(134,1),(159,1)}
       114:{1,3,5,7}:{(92,1),(93,1),(127,1),(132,1),(135,1)}
       115:{1,2,4,6}:{(93,1),(94,1),(133,1),(135,1),(162,1)}
       116:{2,3,4,6,7}:{(94,1),(129,1),(134,1),(136,1),(161,1),(173,1)}
       117:{1,2,4,6}:{(95,1),(96,1),(97,1),(137,1),(138,1)}
       118:{1,3,5}:{(96,1),(101,1),(138,1),(143,1)}
       119:{2,3,4,7}:{(97,1),(103,1),(137,1),(140,1),(174,1)}
       120:{1,2,4,5,7}:{(97,1),(98,1),(138,1),(140,1),(141,1),(164,1),(166,1),(174,1)}
       121:{1,3,4,6}:{(98,1),(106,1),(139,1),(141,1),(147,1),(168,1)}
       122:{3,4,6}:{(99,1),(103,1),(143,1),(147,1)}
       123:{1,2,4,5}:{(99,1),(100,1),(101,1),(112,1),(138,1),(143,1),(149,1),(164,1)}
       124:{2,4,5,6}:{(100,1),(102,1),(105,1),(113,1),(145,1)}
       125:{1,4,5,6}:{(101,1),(102,1),(106,1),(139,1),(146,1)}
       126:{3,4,5,7}:{(102,1),(107,1),(145,1),(146,1),(169,1)}
       127:{3,5,7}:{(103,1),(104,1),(143,1),(147,1)}
       128:{1,2,4,6}:{(104,1),(105,1),(106,1),(108,1),(147,1)}
       129:{2,4,6,7}:{(105,1),(107,1),(109,1),(145,1),(174,1)}
       130:{1,4,6,7}:{(106,1),(107,1),(110,1),(146,1),(170,1)}
       131:{1,2,5,6,7}:{(108,1),(109,1),(110,1),(148,1),(151,1),(166,1)}
       132:{1,3,5}:{(111,1),(112,1),(143,1),(149,1)}
       133:{1,2,5,6}:{(112,1),(113,1),(115,1),(150,1),(151,1)}
       134:{2,3,5,7}:{(113,1),(116,1),(145,1),(151,1),(169,1)}
       135:{1,3,6}:{(114,1),(115,1),(147,1)}
       136:{1,2,4,6,7}:{(115,1),(116,1),(151,1),(152,1),(170,1)}
       137:{2,3,4,6}:{(117,1),(119,1),(122,1),(153,1),(156,1),(171,1)}
       138:{1,2,5}:{(117,1),(118,1),(153,1)}
       139:{1,3,5,6}:{(118,1),(121,1),(125,1),(154,1),(155,1),(159,1)}
       140:{2,3,5,7}:{(119,1),(120,1),(127,1),(153,1),(156,1)}
       141:{1,2,4,6}:{(120,1),(121,1),(154,1),(156,1),(171,1)}
       142:{1,3,4,6,7}:{(121,1),(130,1),(155,1),(157,1),(161,1),(173,1)}
       143:{3,5}:{(122,1),(123,1)}
       144:{1,2,4,5,6}:{(123,1),(124,1),(125,1),(128,1),(133,1),(154,1),(159,1),(160,1),(162,1),(171,1)}
       145:{2,4,5,7}:{(124,1),(126,1),(129,1),(134,1)}
       146:{1,4,5,7}:{(125,1),(126,1),(130,1),(155,1)}
       147:{3,6}:{(127,1),(128,1)}
       148:{1,2,4,6,7}:{(128,1),(129,1),(130,1),(131,1),(160,1),(161,1)}
       149:{1,4,5}:{(132,1),(158,1),(162,1)}
       150:{1,3,5,6}:{(132,1),(133,1),(135,1),(159,1),(162,1),(163,1)}
       151:{1,2,5,7}:{(133,1),(134,1),(136,1),(163,1)}
       152:{1,3,6,7}:{(135,1),(136,1),(161,1),(163,1)}
       153:{2,3,5}:{(137,1),(138,1),(143,1),(164,1)}
       154:{1,2,5,6}:{(138,1),(139,1),(141,1),(165,1),(166,1)}
       155:{1,3,5,7}:{(139,1),(142,1),(146,1),(166,1),(169,1)}
       156:{2,3,6}:{(140,1),(141,1),(147,1)}
       157:{1,2,4,6,7}:{(141,1),(142,1),(166,1),(167,1),(174,1)}
       158:{3,4,5}:{(143,1),(149,1),(164,1),(168,1)}
       159:{3,5,6}:{(143,1),(144,1),(147,1),(168,1),(169,1)}
       160:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(148,1),(151,1),(166,1),(169,1),(170,1),(174,1)}
       161:{3,6,7}:{(147,1),(148,1),(169,1)}
       162:{1,4,6}:{(149,1),(150,1),(168,1),(170,1)}
       163:{1,3,5,7}:{(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:{1,2,5,7}:{(154,1),(155,1),(157,1),(172,1)}
       167:{2,3,6,7}:{(156,1),(157,1),(161,1),(172,1)}
       168:{3,4,6}:{(158,1),(159,1),(162,1),(171,1),(173,1)}
       169:{3,5,7}:{(159,1),(160,1),(161,1),(173,1)}
       170:{1,4,7}:{(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:{3,4,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,4,7}:{(171,1),(172,1),(173,1)}

1701 :   0:{3,4,5,6,7}:{(1,1),(2,1),(13,1),(89,1)}
         1:{1,4,5,6,7}:{(0,1),(4,1),(96,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(98,1)}
         3:{2,3,4,5,6}:{(7,1),(8,1),(46,1),(49,1),(99,1)}
         4:{1,3,5,6,7}:{(1,1),(9,1),(11,1),(13,1),(85,1)}
         5:{2,3,5,6,7}:{(2,1),(10,1),(12,1),(13,1),(87,1)}
         6:{1,2,4,5,6,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(30,1),(31,1),(59,1)}
         7:{2,3,4,5,7}:{(3,1),(10,1),(14,1),(32,1),(62,1),(87,1)}
         8:{1,2,4,5,6}:{(3,1),(14,1),(15,1),(35,1),(61,1),(88,1)}
         9:{1,3,4,6,7}:{(4,1),(16,1),(17,1),(21,1)}
        10:{2,3,4,6,7}:{(5,1),(7,1),(18,1),(21,1)}
        11:{1,2,5,6,7}:{(4,1),(17,1),(19,1),(71,1)}
        12:{1,2,5,6,7}:{(5,1),(18,1),(20,1),(74,1)}
        13:{3,5,6,7}:{(6,1),(21,1),(76,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(18,1),(22,1),(45,1),(47,1),(74,1)}
        15:{1,3,5,6}:{(8,1),(22,1),(24,1)}
        16:{1,3,4,5,7}:{(9,1),(25,1),(26,1),(32,1),(82,1),(85,1)}
        17:{1,2,4,6,7}:{(9,1),(11,1),(26,1),(27,1),(30,1)}
        18:{1,2,4,6,7}:{(10,1),(12,1),(14,1),(28,1),(31,1)}
        19:{2,3,5,6,7}:{(11,1),(13,1),(27,1),(30,1),(55,1)}
        20:{1,3,5,6,7}:{(12,1),(13,1),(28,1),(31,1),(57,1)}
        21:{3,4,6,7}:{(13,1),(30,1),(31,1),(32,1)}
        22:{1,3,5,7}:{(14,1),(15,1),(28,1),(34,1)}
        23:{1,2,3,5,6}:{(15,1),(33,1),(35,1),(65,1),(88,1),(91,1)}
        24:{1,3,4,6}:{(15,1),(34,1),(35,1),(36,1)}
        25:{1,3,4,5,6}:{(16,1),(37,1),(46,1),(92,1),(97,1)}
        26:{1,2,4,5,7}:{(16,1),(17,1),(37,1),(38,1),(44,1),(68,1),(71,1)}
        27:{2,3,6,7}:{(17,1),(38,1)}
        28:{1,3,6,7}:{(18,1),(22,1)}
        29:{1,2,3,5,6,7}:{(19,1),(20,1),(39,1),(41,1),(43,1),(71,1),(74,1),(76,1),(97,1),(99,1)}
        30:{2,4,6,7}:{(19,1),(21,1),(44,1)}
        31:{1,4,6,7}:{(20,1),(21,1),(45,1)}
        32:{3,4,5,7}:{(21,1),(44,1),(45,1),(46,1),(76,1)}
        33:{1,2,3,5,7}:{(22,1),(23,1),(41,1),(47,1),(74,1),(78,1)}
        34:{1,3,4,7}:{(22,1),(24,1),(47,1)}
        35:{1,2,4,6}:{(23,1),(24,1),(47,1),(49,1),(50,1)}
        36:{1,3,4,5}:{(24,1),(50,1)}
        37:{1,2,4,5,6}:{(25,1),(26,1),(51,1),(60,1),(80,1),(86,1)}
        38:{2,3,5,7}:{(26,1),(27,1),(51,1),(53,1)}
        39:{1,2,3,6,7}:{(27,1),(52,1),(54,1),(102,1)}
        40:{2,3,4,6,7}:{(27,1),(30,1),(53,1),(54,1),(55,1),(58,1),(84,1)}
        41:{1,2,3,6,7}:{(28,1),(33,1),(56,1),(91,1)}
        42:{1,3,4,6,7}:{(28,1),(31,1),(34,1),(56,1),(57,1),(58,1),(64,1)}
        43:{1,2,4,6,7}:{(29,1),(30,1),(31,1),(58,1),(59,1),(103,1),(104,1)}
        44:{2,4,5,7}:{(30,1),(32,1),(55,1),(60,1)}
        45:{1,4,5,7}:{(31,1),(32,1),(57,1),(61,1)}
        46:{3,4,5,6}:{(32,1),(60,1),(61,1),(90,1)}
        47:{1,2,4,7}:{(33,1),(34,1),(35,1),(62,1)}
        48:{1,3,4,5,7}:{(34,1),(36,1),(57,1),(63,1),(64,1),(89,1)}
        49:{2,3,4,6}:{(35,1),(62,1),(65,1),(91,1)}
        50:{1,2,4,5}:{(35,1),(36,1),(65,1)}
        51:{2,3,5,6}:{(37,1),(38,1),(67,1)}
        52:{1,2,3,5,7}:{(38,1),(39,1),(66,1),(68,1),(71,1),(94,1)}
        53:{2,3,4,7}:{(38,1),(67,1),(68,1)}
        54:{1,2,4,6,7}:{(39,1),(40,1),(68,1),(70,1),(71,1),(95,1)}
        55:{2,3,5,7}:{(40,1),(44,1),(71,1),(72,1),(76,1)}
        56:{1,2,4,6,7}:{(41,1),(42,1),(47,1),(73,1),(74,1),(79,1)}
        57:{1,3,5,7}:{(42,1),(45,1),(74,1),(75,1),(76,1)}
        58:{3,4,6,7}:{(43,1),(76,1),(100,1)}
        59:{1,2,4,5,7}:{(43,1),(44,1),(45,1),(71,1),(74,1),(76,1),(77,1),(96,1),(98,1)}
        60:{2,4,5,6}:{(44,1),(46,1),(72,1)}
        61:{1,4,5,6}:{(45,1),(46,1),(75,1)}
        62:{2,3,4,7}:{(47,1),(49,1),(78,1)}
        63:{1,2,4,5,7}:{(47,1),(48,1),(50,1),(74,1),(78,1),(79,1),(98,1)}
        64:{1,3,4,6}:{(48,1),(75,1),(79,1),(100,1)}
        65:{2,3,5}:{(49,1),(50,1)}
        66:{1,2,3,5,6}:{(51,1),(52,1),(80,1),(86,1),(101,1),(102,1)}
        67:{2,3,4,6}:{(51,1),(53,1),(80,1),(81,1)}
        68:{1,2,4,7}:{(52,1),(53,1),(80,1),(82,1)}
        69:{2,3,4,5,7}:{(53,1),(55,1),(81,1),(83,1),(84,1),(89,1)}
        70:{1,3,4,6,7}:{(54,1),(58,1),(82,1),(85,1),(102,1),(103,1)}
        71:{1,2,5,7}:{(54,1),(55,1),(85,1),(86,1)}
        72:{2,3,5,6}:{(55,1),(60,1),(84,1),(86,1),(90,1)}
        73:{2,3,4,6,7}:{(56,1),(58,1),(62,1),(87,1),(91,1),(104,1)}
        74:{1,2,5,7}:{(56,1),(57,1),(87,1),(88,1)}
        75:{1,3,5,6}:{(57,1),(61,1),(64,1),(88,1),(90,1)}
        76:{3,5,7}:{(58,1),(59,1),(90,1)}
        77:{1,2,4,5,6}:{(59,1),(60,1),(61,1),(86,1),(88,1),(90,1),(103,1),(104,1)}
        78:{2,3,5,7}:{(62,1),(63,1),(65,1),(91,1)}
        79:{1,2,4,6}:{(63,1),(64,1),(88,1),(91,1),(104,1)}
        80:{1,2,4,6}:{(66,1),(67,1),(68,1),(92,1),(93,1)}
        81:{2,3,4,5}:{(67,1),(93,1)}
        82:{1,3,4,7}:{(68,1),(92,1),(94,1)}
        83:{1,2,4,5,7}:{(68,1),(69,1),(71,1),(93,1),(94,1),(95,1),(96,1)}
        84:{2,3,4,6}:{(69,1),(72,1),(95,1),(100,1)}
        85:{1,3,5,7}:{(70,1),(71,1),(76,1),(96,1),(97,1)}
        86:{1,2,5,6}:{(71,1),(72,1),(95,1),(97,1)}
        87:{2,3,5,7}:{(73,1),(74,1),(76,1),(98,1),(99,1)}
        88:{1,2,5,6}:{(74,1),(75,1),(79,1),(99,1)}
        89:{3,4,5,7}:{(76,1),(96,1),(98,1),(100,1)}
        90:{3,5,6}:{(76,1),(77,1),(100,1)}
        91:{2,3,6}:{(78,1),(79,1)}
        92:{1,3,4,6}:{(80,1),(82,1),(101,1),(102,1)}
        93:{1,2,4,5}:{(80,1),(81,1),(101,1)}
        94:{1,3,5,7}:{(82,1),(83,1),(101,1),(102,1)}
        95:{1,2,4,6}:{(83,1),(84,1),(86,1),(102,1),(103,1)}
        96:{1,4,5,7}:{(85,1),(89,1),(103,1)}
        97:{1,3,5,6}:{(85,1),(86,1),(90,1),(102,1),(103,1)}
        98:{2,4,5,7}:{(87,1),(89,1),(104,1)}
        99:{2,3,5,6}:{(87,1),(88,1),(90,1),(91,1),(104,1)}
       100:{3,4,6}:{(89,1),(90,1),(103,1),(104,1)}
       101:{1,3,5}:{(92,1),(93,1)}
       102:{1,3,6}:{(94,1),(95,1)}
       103:{1,4,6}:{(96,1),(97,1),(100,1)}
       104:{2,4,6}:{(98,1),(99,1),(100,1)}

1702 :   0:{1,3,4,6,7}:{(3,1),(4,1),(18,1),(21,1),(54,1),(57,1),(59,1),(91,1),(95,1),(116,1),(123,1)}
         1:{1,3,5,6,7}:{(6,1),(7,1),(9,1),(32,1),(34,1),(62,1),(72,1)}
         2:{2,3,5,6,7}:{(6,1),(8,1),(25,1),(33,1),(34,1),(37,1),(73,1)}
         3:{1,2,4,6,7}:{(0,1),(10,1),(11,1),(35,1),(38,1),(40,1),(74,1),(110,1),(128,1)}
         4:{1,3,5,7}:{(0,1),(9,1),(11,1),(12,1),(32,1),(41,1),(111,1),(126,1)}
         5:{2,3,4,6,7}:{(13,1),(14,1),(19,1),(44,1),(55,1),(83,1),(85,1),(92,1),(96,1),(117,1),(123,1)}
         6:{1,2,5,6,7}:{(1,1),(2,1),(17,1),(20,1),(43,1),(52,1),(53,1),(93,1)}
         7:{1,4,6,7}:{(1,1),(15,1),(18,1),(21,1),(82,1),(91,1)}
         8:{2,4,6,7}:{(2,1),(16,1),(19,1),(44,1),(56,1),(92,1)}
         9:{1,3,5,6}:{(4,1),(20,1),(21,1),(49,1),(57,1)}
        10:{2,3,6,7}:{(3,1),(22,1),(57,1),(123,1),(134,1)}
        11:{1,2,5,7}:{(3,1),(4,1),(20,1),(22,1),(52,1),(133,1)}
        12:{1,4,5,7}:{(4,1),(21,1),(24,1),(91,1),(120,1)}
        13:{1,2,4,6,7}:{(5,1),(26,1),(27,1),(36,1),(63,1),(65,1),(74,1),(110,1),(113,1)}
        14:{2,3,5,7}:{(5,1),(25,1),(27,1),(28,1),(33,1),(66,1),(112,1),(127,1)}
        15:{1,4,5,7}:{(7,1),(29,1),(32,1),(99,1)}
        16:{2,4,5,7}:{(8,1),(30,1),(33,1),(75,1)}
        17:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(31,1),(34,1),(35,1),(36,1),(38,1),(63,1),(74,1),(110,1)}
        18:{3,4,6,7}:{(7,1),(32,1),(34,1),(35,1),(39,1),(71,1),(100,1)}
        19:{3,4,6,7}:{(8,1),(33,1),(34,1),(36,1),(64,1),(71,1),(76,1)}
        20:{1,2,5,6}:{(9,1),(11,1),(37,1),(38,1),(69,1),(111,1)}
        21:{1,4,6}:{(9,1),(12,1),(39,1)}
        22:{2,3,5,7}:{(10,1),(11,1),(37,1),(40,1),(41,1),(137,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(42,1),(75,1),(79,1),(81,1),(110,1),(111,1),(130,1)}
        24:{3,4,5,7}:{(12,1),(32,1),(39,1),(41,1),(42,1),(71,1),(106,1)}
        25:{2,3,5,6}:{(14,1),(43,1),(44,1),(50,1),(83,1)}
        26:{1,3,6,7}:{(13,1),(45,1),(83,1),(123,1),(125,1)}
        27:{1,2,5,7}:{(13,1),(14,1),(43,1),(45,1),(53,1),(124,1)}
        28:{2,4,5,7}:{(14,1),(44,1),(47,1),(92,1),(121,1)}
        29:{1,4,5,6}:{(15,1),(21,1),(49,1)}
        30:{2,4,5,6}:{(16,1),(44,1),(50,1)}
        31:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(48,1),(51,1),(52,1),(53,1),(91,1),(92,1),(93,1)}
        32:{3,5,7}:{(15,1),(18,1),(49,1),(52,1),(115,1)}
        33:{3,5,7}:{(16,1),(19,1),(50,1),(53,1),(94,1)}
        34:{3,6,7}:{(17,1),(51,1),(57,1),(83,1),(123,1)}
        35:{2,4,6,7}:{(18,1),(52,1),(55,1),(58,1),(92,1),(117,1)}
        36:{1,4,6,7}:{(19,1),(53,1),(54,1),(84,1),(91,1),(95,1)}
        37:{2,3,5,6}:{(20,1),(22,1),(56,1),(57,1),(94,1)}
        38:{1,2,4,6}:{(20,1),(21,1),(23,1),(56,1),(57,1),(58,1),(95,1),(97,1)}
        39:{3,4,6}:{(21,1),(24,1),(49,1),(57,1),(58,1)}
        40:{2,4,7}:{(22,1),(56,1),(59,1),(139,1)}
        41:{3,5,7}:{(23,1),(57,1),(59,1),(94,1),(123,1),(135,1)}
        42:{2,4,5,7}:{(24,1),(52,1),(58,1),(61,1),(92,1),(121,1)}
        43:{1,2,5,6}:{(25,1),(27,1),(62,1),(63,1),(70,1),(127,1)}
        44:{2,4,6}:{(25,1),(28,1),(64,1)}
        45:{1,3,5,7}:{(26,1),(27,1),(62,1),(65,1),(66,1),(132,1)}
        46:{1,2,4,5,7}:{(27,1),(28,1),(63,1),(65,1),(66,1),(67,1),(99,1),(104,1),(105,1),(110,1),(127,1),(130,1)}
        47:{3,4,5,7}:{(28,1),(33,1),(64,1),(66,1),(67,1),(71,1),(106,1)}
        48:{1,2,4,5,6}:{(29,1),(30,1),(31,1),(38,1),(63,1),(68,1),(69,1),(70,1),(75,1),(99,1),(107,1),(108,1),(109,1),(111,1),(127,1),(130,1)}
        49:{3,5,6}:{(29,1),(32,1),(39,1),(69,1)}
        50:{3,5,6}:{(30,1),(33,1),(64,1),(70,1)}
        51:{3,5,7}:{(31,1),(34,1),(68,1),(71,1)}
        52:{2,5,7}:{(32,1),(35,1),(69,1),(127,1)}
        53:{1,5,7}:{(33,1),(36,1),(70,1),(111,1)}
        54:{1,3,6,7}:{(34,1),(36,1),(72,1),(74,1),(77,1),(101,1)}
        55:{2,3,6,7}:{(34,1),(35,1),(73,1),(74,1),(78,1),(102,1)}
        56:{2,4,6}:{(37,1),(40,1),(75,1),(76,1)}
        57:{3,6}:{(38,1),(41,1)}
        58:{2,4,6}:{(39,1),(42,1),(69,1),(78,1)}
        59:{3,4,7}:{(40,1),(41,1),(76,1),(79,1),(138,1)}
        60:{1,3,5,7}:{(41,1),(77,1),(79,1),(81,1),(111,1),(114,1),(132,1)}
        61:{2,3,5,7}:{(41,1),(42,1),(78,1),(80,1),(81,1),(112,1)}
        62:{1,3,5,6}:{(43,1),(45,1),(82,1),(83,1),(115,1)}
        63:{1,2,4,6}:{(43,1),(44,1),(46,1),(82,1),(83,1),(84,1),(117,1),(118,1)}
        64:{3,4,6}:{(44,1),(47,1),(50,1),(83,1),(84,1)}
        65:{1,4,7}:{(45,1),(82,1),(85,1),(136,1)}
        66:{3,5,7}:{(46,1),(83,1),(85,1),(115,1),(123,1),(135,1)}
        67:{1,4,5,7}:{(47,1),(53,1),(84,1),(86,1),(91,1),(120,1)}
        68:{3,5,6}:{(48,1),(51,1),(57,1),(83,1),(88,1),(94,1),(115,1),(135,1)}
        69:{2,5,6}:{(49,1),(52,1),(58,1)}
        70:{1,5,6}:{(50,1),(53,1),(84,1)}
        71:{3,4,7}:{(51,1),(88,1),(91,1),(92,1),(123,1)}
        72:{1,3,5,7}:{(51,1),(53,1),(54,1),(89,1),(91,1),(93,1),(123,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(55,1),(90,1),(92,1),(93,1),(123,1)}
        74:{1,2,6,7}:{(54,1),(55,1),(93,1),(97,1),(118,1)}
        75:{2,4,5}:{(56,1),(94,1)}
        76:{3,4,6}:{(56,1),(57,1),(59,1),(94,1),(95,1)}
        77:{1,3,6}:{(57,1),(60,1),(95,1),(97,1)}
        78:{2,3,6}:{(57,1),(58,1),(61,1),(97,1)}
        79:{1,4,7}:{(59,1),(60,1),(95,1),(136,1)}
        80:{2,3,4,7}:{(59,1),(61,1),(92,1),(96,1),(98,1),(123,1)}
        81:{1,2,5,7}:{(60,1),(61,1),(97,1),(98,1),(124,1)}
        82:{1,4,6}:{(62,1),(65,1),(99,1),(100,1)}
        83:{3,6}:{(63,1),(66,1)}
        84:{1,4,6}:{(64,1),(67,1),(70,1),(101,1)}
        85:{3,4,7}:{(65,1),(66,1),(100,1),(104,1),(138,1)}
        86:{1,3,5,7}:{(66,1),(67,1),(101,1),(103,1),(105,1),(126,1)}
        87:{2,3,5,7}:{(66,1),(102,1),(104,1),(105,1),(127,1),(129,1),(137,1)}
        88:{3,4,6}:{(68,1),(71,1),(106,1),(107,1),(108,1),(131,1),(138,1)}
        89:{1,3,5,6}:{(68,1),(70,1),(72,1),(77,1),(101,1),(107,1),(109,1),(111,1),(126,1),(131,1),(132,1)}
        90:{2,3,5,6}:{(68,1),(69,1),(73,1),(78,1),(102,1),(108,1),(109,1),(112,1),(127,1),(131,1),(137,1)}
        91:{1,4,7}:{(71,1),(72,1),(107,1)}
        92:{2,4,7}:{(71,1),(73,1),(108,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(109,1),(110,1)}
        94:{3,5}:{(75,1),(76,1),(111,1)}
        95:{1,4,6}:{(76,1),(77,1),(79,1),(111,1)}
        96:{2,3,4,6}:{(76,1),(78,1),(80,1),(108,1),(112,1),(113,1),(131,1),(138,1)}
        97:{1,2,6}:{(77,1),(78,1),(81,1)}
        98:{1,2,4,7}:{(79,1),(80,1),(81,1),(113,1),(114,1)}
        99:{1,4,5}:{(82,1),(115,1)}
       100:{3,4,6}:{(82,1),(83,1),(85,1),(115,1),(117,1)}
       101:{1,3,6}:{(83,1),(84,1),(86,1),(118,1)}
       102:{2,3,6}:{(83,1),(87,1),(117,1),(118,1)}
       103:{1,3,4,7}:{(85,1),(86,1),(91,1),(116,1),(119,1),(123,1)}
       104:{2,4,7}:{(85,1),(87,1),(117,1),(139,1)}
       105:{1,2,5,7}:{(86,1),(87,1),(118,1),(119,1),(133,1)}
       106:{3,4,5}:{(88,1),(94,1),(115,1),(120,1),(121,1),(135,1)}
       107:{1,4,6}:{(88,1),(89,1),(91,1),(120,1),(136,1)}
       108:{2,4,6}:{(88,1),(90,1),(92,1),(121,1),(139,1)}
       109:{1,2,5,6}:{(89,1),(90,1),(93,1),(97,1),(118,1),(122,1),(124,1),(133,1)}
       110:{1,2,4,7}:{(91,1),(92,1),(93,1),(122,1),(123,1)}
       111:{1,5}:{(94,1),(95,1)}
       112:{2,3,5}:{(94,1),(96,1),(121,1),(124,1),(135,1)}
       113:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(124,1),(125,1),(136,1)}
       114:{1,3,7}:{(98,1),(123,1),(125,1)}
       115:{3,5}:{(99,1),(100,1),(127,1)}
       116:{1,3,4,6}:{(100,1),(101,1),(103,1),(107,1),(126,1),(128,1),(131,1),(138,1)}
       117:{2,4,6}:{(100,1),(102,1),(104,1),(127,1)}
       118:{1,2,6}:{(101,1),(102,1),(105,1)}
       119:{1,2,4,7}:{(103,1),(104,1),(105,1),(128,1),(129,1)}
       120:{1,4,5}:{(106,1),(107,1),(111,1),(126,1)}
       121:{2,4,5}:{(106,1),(108,1),(112,1),(127,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(110,1),(130,1),(131,1)}
       123:{3,7}:{(110,1),(131,1)}
       124:{1,2,5}:{(111,1),(112,1),(113,1),(132,1)}
       125:{1,3,6}:{(113,1),(114,1),(131,1),(132,1)}
       126:{1,3,5}:{(115,1),(116,1),(120,1),(133,1),(135,1)}
       127:{2,5}:{(115,1),(117,1)}
       128:{1,2,4,6}:{(116,1),(117,1),(118,1),(119,1),(133,1),(134,1),(139,1)}
       129:{2,3,7}:{(119,1),(123,1),(134,1)}
       130:{1,2,4,5}:{(120,1),(121,1),(122,1),(124,1),(133,1),(135,1),(136,1),(139,1)}
       131:{3,6}:{(122,1),(123,1),(135,1)}
       132:{1,3,5}:{(124,1),(125,1),(135,1),(136,1)}
       133:{1,2,5}:{(126,1),(127,1),(128,1),(137,1)}
       134:{2,3,6}:{(128,1),(129,1),(131,1),(137,1)}
       135:{3,5}:{(130,1),(131,1),(138,1)}
       136:{1,4}:{(132,1),(138,1)}
       137:{2,3,5}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,4}:{(135,1),(136,1),(139,1)}
       139:{2,4}:{(137,1),(138,1)}

1703 :   0:{4,5,6,7}:{(4,1),(76,1),(115,1)}
         1:{3,4,5,6}:{(5,1),(6,1),(7,1),(40,1),(85,1),(115,1),(119,1)}
         2:{1,3,4,5}:{(9,1),(12,1),(51,1),(85,1),(93,1)}
         3:{2,3,4,5}:{(10,1),(13,1),(50,1),(85,1),(92,1)}
         4:{3,5,6,7}:{(0,1),(14,1),(15,1),(16,1),(128,1)}
         5:{3,4,5,7}:{(1,1),(14,1),(17,1),(18,1),(58,1),(97,1)}
         6:{1,4,5,6}:{(1,1),(17,1),(19,1),(105,1),(132,1)}
         7:{2,4,5,6}:{(1,1),(18,1),(20,1),(104,1),(131,1)}
         8:{1,2,3,6,7}:{(24,1),(25,1),(94,1),(95,1),(109,1),(134,1)}
         9:{1,3,4,6}:{(2,1),(19,1),(22,1),(26,1),(62,1)}
        10:{2,3,4,6}:{(3,1),(20,1),(23,1),(27,1),(62,1)}
        11:{1,2,3,5,6}:{(24,1),(28,1),(60,1),(61,1),(67,1),(68,1),(71,1),(109,1),(110,1),(134,1)}
        12:{1,2,4,5}:{(2,1),(26,1),(29,1),(72,1),(104,1),(110,1)}
        13:{1,2,4,5}:{(3,1),(27,1),(30,1),(72,1),(105,1),(110,1)}
        14:{3,4,6,7}:{(4,1),(5,1),(31,1),(32,1),(75,1),(76,1),(119,1)}
        15:{1,5,6,7}:{(4,1),(31,1),(138,1)}
        16:{2,5,6,7}:{(4,1),(32,1),(137,1)}
        17:{1,4,5,7}:{(5,1),(6,1),(31,1),(34,1)}
        18:{2,4,5,7}:{(5,1),(7,1),(32,1),(35,1)}
        19:{1,3,5,6}:{(6,1),(9,1),(34,1),(38,1),(40,1),(93,1),(124,1)}
        20:{2,3,5,6}:{(7,1),(10,1),(35,1),(39,1),(40,1),(92,1),(123,1)}
        21:{1,2,4,5,6}:{(6,1),(7,1),(36,1),(38,1),(39,1),(40,1),(48,1),(83,1),(84,1),(90,1),(115,1),(121,1),(137,1),(138,1),(140,1)}
        22:{1,3,4,7}:{(9,1),(34,1),(41,1),(79,1)}
        23:{2,3,4,7}:{(10,1),(35,1),(42,1),(79,1)}
        24:{1,2,3,5,7}:{(8,1),(11,1),(43,1),(44,1),(77,1),(78,1),(86,1),(89,1),(122,1)}
        25:{1,2,4,6,7}:{(8,1),(37,1),(43,1),(44,1),(90,1),(112,1),(113,1)}
        26:{1,2,4,6}:{(9,1),(12,1),(38,1),(41,1),(45,1),(83,1)}
        27:{1,2,4,6}:{(10,1),(13,1),(39,1),(42,1),(46,1),(84,1)}
        28:{1,2,4,6}:{(11,1),(43,1),(47,1),(48,1),(83,1),(84,1)}
        29:{2,3,5}:{(12,1),(45,1),(50,1)}
        30:{1,3,5}:{(13,1),(46,1),(51,1)}
        31:{1,4,6,7}:{(14,1),(15,1),(17,1),(52,1),(132,1)}
        32:{2,4,6,7}:{(14,1),(16,1),(18,1),(53,1),(131,1)}
        33:{1,2,5,6,7}:{(15,1),(16,1),(54,1),(55,1),(67,1),(126,1),(127,1),(142,1)}
        34:{1,3,5,7}:{(17,1),(19,1),(22,1),(52,1),(56,1),(58,1)}
        35:{2,3,5,7}:{(18,1),(20,1),(23,1),(53,1),(57,1),(58,1)}
        36:{1,2,4,5,7}:{(17,1),(18,1),(21,1),(54,1),(56,1),(57,1),(58,1),(97,1),(99,1),(100,1),(126,1),(127,1)}
        37:{3,4,6,7}:{(25,1),(59,1),(65,1),(102,1),(109,1)}
        38:{1,2,5,6}:{(19,1),(26,1),(56,1),(60,1),(110,1),(134,1)}
        39:{1,2,5,6}:{(20,1),(27,1),(57,1),(61,1),(110,1),(134,1)}
        40:{3,5,6}:{(21,1),(58,1),(62,1),(71,1),(109,1),(133,1),(143,1)}
        41:{1,2,4,7}:{(22,1),(26,1),(56,1),(63,1),(99,1)}
        42:{1,2,4,7}:{(23,1),(27,1),(57,1),(64,1),(100,1)}
        43:{1,2,4,7}:{(24,1),(28,1),(65,1),(99,1),(100,1)}
        44:{1,2,5,7}:{(25,1),(59,1),(67,1),(126,1),(127,1)}
        45:{2,3,6}:{(26,1),(29,1),(63,1)}
        46:{1,3,6}:{(27,1),(30,1),(64,1)}
        47:{3,4,6}:{(28,1),(65,1),(71,1),(109,1)}
        48:{1,2,4,5}:{(28,1),(71,1),(104,1),(105,1),(110,1)}
        49:{1,2,3,5}:{(29,1),(30,1),(68,1),(72,1),(110,1)}
        50:{2,3,4}:{(29,1),(72,1)}
        51:{1,3,4}:{(30,1),(72,1)}
        52:{1,3,6,7}:{(31,1),(34,1),(73,1),(75,1),(124,1)}
        53:{2,3,6,7}:{(32,1),(35,1),(74,1),(75,1),(123,1)}
        54:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(36,1),(73,1),(74,1),(75,1),(76,1),(90,1),(112,1),(113,1),(140,1)}
        55:{3,5,6,7}:{(33,1),(75,1),(76,1),(81,1),(114,1),(145,1)}
        56:{1,2,5,7}:{(34,1),(38,1),(41,1),(73,1),(77,1)}
        57:{1,2,5,7}:{(35,1),(39,1),(42,1),(74,1),(78,1)}
        58:{3,5,7}:{(36,1),(40,1),(75,1),(79,1)}
        59:{3,5,7}:{(37,1),(44,1),(80,1),(81,1)}
        60:{2,3,5,6}:{(38,1),(40,1),(45,1),(77,1),(83,1),(92,1),(123,1),(137,1)}
        61:{1,3,5,6}:{(39,1),(40,1),(46,1),(78,1),(84,1),(93,1),(124,1),(138,1)}
        62:{3,4,6}:{(40,1),(79,1),(83,1),(84,1),(85,1)}
        63:{2,3,7}:{(41,1),(45,1)}
        64:{1,3,7}:{(42,1),(46,1)}
        65:{3,4,7}:{(43,1),(47,1),(89,1)}
        66:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(80,1),(89,1),(90,1),(117,1),(118,1),(122,1)}
        67:{1,2,5,6}:{(44,1),(81,1),(90,1),(137,1),(138,1)}
        68:{1,2,3,6}:{(45,1),(46,1),(49,1),(86,1),(91,1)}
        69:{2,3,4,6}:{(45,1),(47,1),(50,1),(83,1),(87,1),(91,1),(92,1),(120,1),(123,1)}
        70:{1,3,4,6}:{(46,1),(47,1),(51,1),(84,1),(88,1),(91,1),(93,1),(120,1),(124,1)}
        71:{3,5}:{(47,1),(48,1)}
        72:{1,2,4}:{(49,1),(50,1),(51,1)}
        73:{1,2,6,7}:{(52,1),(56,1),(94,1),(134,1)}
        74:{1,2,6,7}:{(53,1),(57,1),(95,1),(134,1)}
        75:{3,6,7}:{(54,1),(58,1),(109,1),(143,1)}
        76:{4,6,7}:{(55,1),(97,1),(102,1),(146,1)}
        77:{2,3,5,7}:{(56,1),(58,1),(60,1),(63,1),(94,1),(99,1),(126,1)}
        78:{1,3,5,7}:{(57,1),(58,1),(61,1),(64,1),(95,1),(100,1),(127,1)}
        79:{3,4,7}:{(58,1),(62,1),(99,1),(100,1)}
        80:{4,5,7}:{(59,1),(102,1)}
        81:{3,5,6}:{(59,1),(67,1),(102,1),(109,1)}
        82:{1,2,3,5,6}:{(60,1),(61,1),(68,1),(98,1),(103,1),(110,1),(133,1),(134,1),(142,1),(143,1)}
        83:{2,4,6}:{(60,1),(62,1),(99,1),(104,1)}
        84:{1,4,6}:{(61,1),(62,1),(100,1),(105,1)}
        85:{3,4,5}:{(62,1),(71,1),(104,1),(105,1),(133,1)}
        86:{1,2,3,7}:{(63,1),(64,1),(68,1),(106,1)}
        87:{2,3,4,7}:{(63,1),(65,1),(69,1),(99,1),(106,1),(107,1),(129,1)}
        88:{1,3,4,7}:{(64,1),(65,1),(70,1),(100,1),(106,1),(108,1),(129,1)}
        89:{3,5,7}:{(65,1),(66,1),(71,1),(109,1)}
        90:{1,2,4,6}:{(66,1),(67,1),(102,1),(109,1),(131,1),(132,1),(134,1)}
        91:{1,2,4,6}:{(68,1),(69,1),(70,1),(72,1),(106,1),(110,1),(134,1)}
        92:{2,3,5}:{(69,1),(71,1),(104,1),(110,1),(133,1)}
        93:{1,3,5}:{(70,1),(71,1),(105,1),(110,1),(133,1)}
        94:{2,3,6,7}:{(73,1),(75,1),(77,1),(112,1),(123,1)}
        95:{1,3,6,7}:{(74,1),(75,1),(78,1),(113,1),(124,1)}
        96:{3,4,6,7}:{(75,1),(76,1),(79,1),(112,1),(113,1),(114,1),(119,1)}
        97:{4,5,7}:{(76,1),(114,1),(115,1)}
        98:{1,2,3,5,7}:{(77,1),(78,1),(82,1),(86,1),(111,1),(116,1),(122,1),(136,1),(139,1)}
        99:{2,4,7}:{(77,1),(79,1),(83,1)}
       100:{1,4,7}:{(78,1),(79,1),(84,1)}
       101:{3,4,5,7}:{(79,1),(80,1),(85,1),(89,1),(114,1),(117,1),(118,1),(119,1),(139,1),(144,1)}
       102:{4,6}:{(80,1),(81,1)}
       103:{1,2,4,6}:{(82,1),(83,1),(84,1),(116,1),(120,1),(121,1)}
       104:{2,4,5}:{(83,1),(85,1),(92,1)}
       105:{1,4,5}:{(84,1),(85,1),(93,1)}
       106:{1,2,4,7}:{(86,1),(87,1),(88,1),(91,1),(122,1)}
       107:{2,3,5,7}:{(87,1),(89,1),(92,1),(117,1),(122,1),(123,1),(139,1)}
       108:{1,3,5,7}:{(88,1),(89,1),(93,1),(118,1),(122,1),(124,1),(139,1)}
       109:{3,6}:{(89,1),(90,1)}
       110:{1,2,5}:{(91,1),(92,1),(93,1)}
       111:{1,2,3,6,7}:{(94,1),(95,1),(98,1),(125,1),(134,1),(143,1)}
       112:{2,4,6,7}:{(94,1),(96,1),(99,1),(126,1),(131,1)}
       113:{1,4,6,7}:{(95,1),(96,1),(100,1),(127,1),(132,1)}
       114:{3,5,7}:{(96,1),(97,1),(126,1),(127,1),(128,1)}
       115:{4,5,6}:{(97,1),(102,1),(128,1),(146,1)}
       116:{1,2,4,7}:{(98,1),(99,1),(100,1),(103,1),(129,1)}
       117:{2,4,5,7}:{(99,1),(101,1),(104,1),(107,1),(126,1),(131,1)}
       118:{1,4,5,7}:{(100,1),(101,1),(105,1),(108,1),(127,1),(132,1)}
       119:{3,4,6}:{(101,1),(102,1),(109,1),(128,1),(131,1),(132,1),(143,1),(146,1)}
       120:{3,4,6}:{(103,1),(129,1),(133,1),(143,1)}
       121:{1,2,4,5}:{(103,1),(104,1),(105,1),(110,1),(133,1)}
       122:{1,2,5,7}:{(106,1),(107,1),(108,1),(110,1),(134,1)}
       123:{2,3,6}:{(107,1),(109,1),(131,1),(134,1),(143,1)}
       124:{1,3,6}:{(108,1),(109,1),(132,1),(134,1),(143,1)}
       125:{1,2,4,6,7}:{(111,1),(112,1),(113,1),(116,1),(135,1),(136,1),(140,1)}
       126:{2,5,7}:{(112,1),(114,1),(137,1)}
       127:{1,5,7}:{(113,1),(114,1),(138,1)}
       128:{3,5,6}:{(114,1),(115,1),(119,1),(137,1),(138,1)}
       129:{3,4,7}:{(116,1),(120,1),(139,1)}
       130:{1,2,4,5,7}:{(116,1),(117,1),(118,1),(121,1),(122,1),(136,1),(139,1),(140,1),(144,1)}
       131:{2,4,6}:{(117,1),(119,1),(123,1),(137,1)}
       132:{1,4,6}:{(118,1),(119,1),(124,1),(138,1)}
       133:{3,5}:{(120,1),(121,1)}
       134:{1,2,6}:{(122,1),(123,1),(124,1)}
       135:{3,4,6,7}:{(125,1),(129,1),(141,1),(143,1),(146,1)}
       136:{1,2,5,7}:{(125,1),(126,1),(127,1),(141,1),(142,1)}
       137:{2,5,6}:{(126,1),(128,1),(131,1)}
       138:{1,5,6}:{(127,1),(128,1),(132,1)}
       139:{3,5,7}:{(129,1),(130,1),(133,1),(143,1)}
       140:{1,2,4,6}:{(130,1),(131,1),(132,1),(134,1),(142,1),(143,1),(146,1)}
       141:{3,5,7}:{(135,1),(136,1),(144,1),(145,1)}
       142:{1,2,5,6}:{(136,1),(137,1),(138,1),(140,1),(145,1)}
       143:{3,6}:{(139,1),(140,1)}
       144:{4,5,7}:{(141,1),(146,1)}
       145:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

1704 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(16,1),(17,1),(20,1),(21,1),(38,1),(71,1),(95,1),(96,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(114,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(18,1),(19,1),(20,1),(127,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(15,1),(71,1),(97,1),(126,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(26,1),(27,1),(28,1)}
         5:{3,5,7}:{(2,1),(3,1),(9,1),(135,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(58,1),(62,1),(87,1),(92,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(58,1),(62,1),(86,1),(91,1),(111,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(36,1),(37,1),(38,1),(65,1),(106,1)}
         9:{3,5,6}:{(4,1),(5,1),(15,1)}
        10:{3,4,5,7}:{(5,1),(15,1),(18,1),(19,1),(45,1),(97,1),(101,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1),(45,1),(109,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(45,1),(108,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(41,1),(46,1),(107,1)}
        14:{3,5,6,7}:{(8,1),(9,1),(23,1),(82,1),(120,1)}
        15:{3,4,6}:{(9,1),(10,1),(26,1),(27,1),(58,1)}
        16:{1,3,5,6}:{(9,1),(11,1),(26,1),(28,1),(58,1)}
        17:{2,3,5,6}:{(9,1),(12,1),(27,1),(28,1),(58,1)}
        18:{1,4,5,7}:{(10,1),(11,1),(26,1),(112,1),(116,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(27,1),(111,1),(115,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(28,1),(121,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(58,1),(86,1),(87,1),(90,1)}
        22:{3,4,5,6}:{(15,1),(33,1),(34,1),(35,1),(68,1),(101,1),(125,1)}
        23:{3,4,6,7}:{(14,1),(15,1),(33,1),(36,1),(37,1),(71,1),(97,1),(125,1)}
        24:{1,3,5,6,7}:{(14,1),(16,1),(36,1),(38,1),(63,1),(71,1),(96,1),(130,1)}
        25:{2,3,5,6,7}:{(14,1),(17,1),(37,1),(38,1),(64,1),(71,1),(95,1),(129,1)}
        26:{1,4,6}:{(15,1),(16,1),(18,1)}
        27:{2,4,6}:{(15,1),(17,1),(19,1)}
        28:{1,2,5,6}:{(16,1),(17,1),(20,1),(41,1)}
        29:{1,3,4,5,7}:{(18,1),(39,1),(43,1),(45,1),(63,1),(79,1),(97,1),(101,1),(109,1),(124,1),(137,1)}
        30:{2,3,4,5,7}:{(19,1),(40,1),(44,1),(45,1),(64,1),(78,1),(97,1),(101,1),(108,1),(123,1),(137,1)}
        31:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(41,1),(45,1),(46,1),(76,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(42,1),(45,1),(46,1),(95,1),(96,1)}
        33:{3,4,5,7}:{(22,1),(23,1),(47,1),(48,1),(82,1)}
        34:{1,4,5,6}:{(22,1),(26,1),(47,1),(49,1),(116,1),(134,1)}
        35:{2,4,5,6}:{(22,1),(27,1),(48,1),(50,1),(115,1),(133,1)}
        36:{1,4,6,7}:{(23,1),(24,1),(26,1),(47,1),(112,1),(134,1)}
        37:{2,4,6,7}:{(23,1),(25,1),(27,1),(48,1),(111,1),(133,1)}
        38:{1,2,5,6,7}:{(24,1),(25,1),(28,1),(54,1),(80,1),(81,1),(136,1)}
        39:{1,3,4,6}:{(26,1),(29,1),(49,1),(56,1),(58,1),(85,1),(134,1),(139,1)}
        40:{2,3,4,6}:{(27,1),(30,1),(50,1),(57,1),(58,1),(85,1),(133,1),(139,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(58,1)}
        42:{1,2,3,5,6}:{(28,1),(32,1),(58,1),(59,1),(83,1),(84,1),(90,1),(93,1),(121,1)}
        43:{1,2,4,5,7}:{(29,1),(56,1),(60,1),(80,1),(94,1),(111,1),(115,1),(121,1)}
        44:{1,2,4,5,7}:{(30,1),(57,1),(61,1),(81,1),(94,1),(112,1),(116,1),(121,1)}
        45:{3,5,7}:{(31,1),(58,1),(62,1),(93,1)}
        46:{1,2,4,7}:{(32,1),(59,1),(62,1),(111,1),(112,1)}
        47:{1,4,5,7}:{(33,1),(34,1),(36,1),(63,1)}
        48:{2,4,5,7}:{(33,1),(35,1),(37,1),(64,1)}
        49:{1,3,5,6}:{(34,1),(39,1),(63,1),(66,1),(68,1),(109,1)}
        50:{2,3,5,6}:{(35,1),(40,1),(64,1),(67,1),(68,1),(108,1)}
        51:{1,2,4,5,6}:{(34,1),(35,1),(41,1),(65,1),(66,1),(67,1),(68,1),(76,1),(99,1),(100,1),(127,1),(138,1)}
        52:{1,3,4,6,7}:{(36,1),(39,1),(63,1),(69,1),(71,1),(97,1)}
        53:{2,3,4,6,7}:{(37,1),(40,1),(64,1),(70,1),(71,1),(97,1)}
        54:{1,2,4,6,7}:{(36,1),(37,1),(38,1),(41,1),(65,1),(71,1),(138,1)}
        55:{1,2,3,5,6,7}:{(38,1),(42,1),(71,1),(72,1),(95,1),(96,1),(102,1),(105,1),(128,1),(129,1),(130,1)}
        56:{1,2,4,6}:{(39,1),(43,1),(66,1),(73,1),(99,1)}
        57:{1,2,4,6}:{(40,1),(44,1),(67,1),(74,1),(100,1)}
        58:{3,6}:{(41,1),(45,1)}
        59:{1,2,4,6}:{(42,1),(46,1),(75,1),(76,1),(99,1),(100,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(73,1),(78,1),(108,1),(137,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(74,1),(79,1),(109,1),(137,1)}
        62:{3,4,7}:{(45,1),(46,1),(75,1)}
        63:{1,3,5,7}:{(47,1),(49,1),(52,1),(80,1),(82,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(53,1),(81,1),(82,1)}
        65:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(54,1),(80,1),(81,1),(82,1),(111,1),(112,1)}
        66:{1,2,5,6}:{(49,1),(56,1),(80,1),(83,1),(121,1)}
        67:{1,2,5,6}:{(50,1),(57,1),(81,1),(84,1),(121,1)}
        68:{3,5,6}:{(51,1),(58,1),(82,1),(85,1),(93,1),(135,1),(139,1)}
        69:{1,2,4,6,7}:{(52,1),(56,1),(80,1),(86,1),(111,1)}
        70:{1,2,4,6,7}:{(53,1),(57,1),(81,1),(87,1),(112,1)}
        71:{3,6,7}:{(54,1),(58,1),(82,1),(139,1)}
        72:{1,2,4,6,7}:{(55,1),(59,1),(88,1),(89,1),(111,1),(112,1),(133,1),(134,1)}
        73:{2,3,6}:{(56,1),(58,1),(60,1),(139,1)}
        74:{1,3,6}:{(57,1),(58,1),(61,1),(139,1)}
        75:{3,4,6}:{(58,1),(59,1),(62,1),(93,1)}
        76:{1,2,4,5}:{(59,1),(93,1),(115,1),(116,1),(121,1)}
        77:{1,2,3,5,7}:{(60,1),(61,1),(90,1),(94,1),(121,1)}
        78:{2,3,4,7}:{(60,1),(62,1),(91,1),(94,1),(111,1),(131,1)}
        79:{1,3,4,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(131,1)}
        80:{1,2,5,7}:{(63,1),(66,1),(69,1),(95,1)}
        81:{1,2,5,7}:{(64,1),(67,1),(70,1),(96,1)}
        82:{3,5,7}:{(65,1),(68,1),(71,1),(97,1)}
        83:{2,3,5,6}:{(66,1),(68,1),(73,1),(95,1),(99,1),(108,1)}
        84:{1,3,5,6}:{(67,1),(68,1),(74,1),(96,1),(100,1),(109,1)}
        85:{3,4,6}:{(68,1),(97,1),(99,1),(100,1),(101,1)}
        86:{2,3,6,7}:{(69,1),(71,1),(73,1),(95,1)}
        87:{1,3,6,7}:{(70,1),(71,1),(74,1),(96,1)}
        88:{3,4,6,7}:{(71,1),(72,1),(75,1),(97,1),(105,1),(125,1)}
        89:{1,2,4,5,7}:{(72,1),(76,1),(105,1),(106,1),(123,1),(124,1),(128,1)}
        90:{1,2,3,6}:{(73,1),(74,1),(77,1),(107,1)}
        91:{2,3,4,6}:{(73,1),(75,1),(78,1),(99,1),(107,1),(108,1),(126,1)}
        92:{1,3,4,6}:{(74,1),(75,1),(79,1),(100,1),(107,1),(109,1),(126,1)}
        93:{3,5}:{(75,1),(76,1)}
        94:{1,2,4,7}:{(77,1),(78,1),(79,1),(107,1)}
        95:{2,3,5,7}:{(80,1),(82,1),(83,1),(86,1),(111,1)}
        96:{1,3,5,7}:{(81,1),(82,1),(84,1),(87,1),(112,1)}
        97:{3,4,7}:{(82,1),(85,1),(111,1),(112,1)}
        98:{1,2,3,5,6}:{(83,1),(84,1),(90,1),(110,1),(114,1),(121,1),(135,1),(136,1),(139,1)}
        99:{2,4,6}:{(83,1),(85,1),(111,1),(115,1)}
       100:{1,4,6}:{(84,1),(85,1),(112,1),(116,1)}
       101:{3,4,5}:{(85,1),(93,1),(115,1),(116,1),(135,1)}
       102:{1,2,3,6,7}:{(86,1),(87,1),(90,1),(110,1),(117,1),(139,1)}
       103:{2,3,4,6,7}:{(86,1),(88,1),(91,1),(111,1),(117,1),(118,1),(131,1),(133,1),(139,1)}
       104:{1,3,4,6,7}:{(87,1),(88,1),(92,1),(112,1),(117,1),(119,1),(131,1),(134,1),(139,1)}
       105:{3,5,7}:{(88,1),(89,1),(93,1),(120,1)}
       106:{1,2,4,5,6}:{(89,1),(120,1),(133,1),(134,1),(136,1)}
       107:{1,2,4,6}:{(90,1),(91,1),(92,1),(94,1),(121,1)}
       108:{2,3,5}:{(91,1),(93,1),(115,1),(121,1),(135,1)}
       109:{1,3,5}:{(92,1),(93,1),(116,1),(121,1),(135,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(102,1),(122,1),(128,1),(137,1)}
       111:{2,4,7}:{(95,1),(97,1),(99,1)}
       112:{1,4,7}:{(96,1),(97,1),(100,1)}
       113:{3,4,5,7}:{(97,1),(101,1),(105,1),(123,1),(124,1),(125,1),(137,1)}
       114:{1,2,4,6}:{(98,1),(99,1),(100,1),(122,1),(126,1),(127,1)}
       115:{2,4,5}:{(99,1),(101,1),(108,1)}
       116:{1,4,5}:{(100,1),(101,1),(109,1)}
       117:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(107,1),(122,1),(128,1),(138,1)}
       118:{2,3,5,7}:{(103,1),(105,1),(108,1),(123,1),(128,1),(129,1),(137,1)}
       119:{1,3,5,7}:{(104,1),(105,1),(109,1),(124,1),(128,1),(130,1),(137,1)}
       120:{3,5,6}:{(105,1),(106,1),(125,1)}
       121:{1,2,5}:{(107,1),(108,1),(109,1)}
       122:{1,2,4,7}:{(110,1),(111,1),(112,1),(114,1),(131,1)}
       123:{2,4,5,7}:{(111,1),(113,1),(115,1),(118,1),(133,1)}
       124:{1,4,5,7}:{(112,1),(113,1),(116,1),(119,1),(134,1)}
       125:{3,4,6}:{(113,1),(120,1),(133,1),(134,1),(139,1)}
       126:{3,4,6}:{(114,1),(131,1),(135,1),(139,1)}
       127:{1,2,4,5}:{(114,1),(115,1),(116,1),(121,1),(135,1)}
       128:{1,2,5,7}:{(117,1),(118,1),(119,1),(121,1),(136,1)}
       129:{2,3,5,6}:{(118,1),(120,1),(133,1),(136,1),(139,1)}
       130:{1,3,5,6}:{(119,1),(120,1),(134,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(126,1),(137,1)}
       132:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(127,1),(128,1),(137,1),(138,1)}
       133:{2,4,6}:{(123,1),(125,1),(129,1)}
       134:{1,4,6}:{(124,1),(125,1),(130,1)}
       135:{3,5}:{(126,1),(127,1)}
       136:{1,2,5,6}:{(128,1),(129,1),(130,1),(138,1)}
       137:{3,5,7}:{(131,1),(132,1),(135,1),(139,1)}
       138:{1,2,4,6}:{(132,1),(133,1),(134,1),(136,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1705 :   0:{1,2,3,6,7}:{(2,1),(3,1),(45,1),(82,1),(83,1),(84,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(13,1),(14,1),(17,1),(45,1),(47,1),(48,1),(49,1),(82,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(23,1),(26,1),(63,1),(68,1),(69,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(27,1),(93,1),(94,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(60,1),(61,1)}
         5:{3,4,6,7}:{(3,1),(10,1),(11,1),(36,1),(45,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(11,1),(80,1),(81,1)}
         7:{1,2,5,7}:{(3,1),(10,1),(13,1),(100,1),(101,1)}
         8:{3,4,6}:{(4,1),(11,1),(17,1),(45,1)}
         9:{1,2,4,5}:{(4,1),(17,1),(39,1),(40,1),(47,1)}
        10:{3,5,7}:{(5,1),(7,1),(19,1),(20,1)}
        11:{3,4,7}:{(6,1),(8,1),(26,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(19,1),(26,1),(27,1),(54,1),(55,1),(63,1)}
        13:{1,2,5,6}:{(7,1),(20,1),(27,1),(88,1),(89,1)}
        14:{1,2,3,6}:{(21,1),(23,1),(29,1),(95,1)}
        15:{2,3,4,6}:{(8,1),(24,1),(29,1),(30,1),(58,1),(60,1),(64,1),(86,1),(95,1)}
        16:{1,3,4,6}:{(8,1),(25,1),(29,1),(31,1),(58,1),(61,1),(65,1),(86,1),(95,1)}
        17:{3,5}:{(8,1),(9,1)}
        18:{1,2,4,5,6}:{(9,1),(27,1),(32,1),(33,1),(52,1),(60,1),(61,1),(67,1),(88,1),(89,1)}
        19:{4,5,7}:{(10,1),(36,1)}
        20:{3,5,6}:{(10,1),(13,1),(36,1),(45,1)}
        21:{1,2,3,5}:{(14,1),(38,1),(47,1),(78,1)}
        22:{3,4,5}:{(17,1),(39,1),(40,1),(41,1),(78,1)}
        23:{1,2,3,7}:{(14,1),(42,1),(104,1)}
        24:{2,3,4,7}:{(11,1),(15,1),(42,1),(43,1),(73,1),(80,1),(104,1)}
        25:{1,3,4,7}:{(11,1),(16,1),(42,1),(44,1),(73,1),(81,1),(104,1)}
        26:{3,5,7}:{(11,1),(12,1),(17,1),(45,1)}
        27:{1,2,4,6}:{(12,1),(13,1),(36,1),(45,1),(75,1),(76,1),(82,1)}
        28:{1,2,5,6,7}:{(13,1),(37,1),(46,1),(100,1),(101,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(16,1),(38,1),(42,1),(47,1),(82,1)}
        30:{2,3,5}:{(15,1),(17,1),(39,1),(47,1),(78,1),(98,1)}
        31:{1,3,5}:{(16,1),(17,1),(40,1),(47,1),(78,1),(98,1)}
        32:{3,5,6}:{(17,1),(18,1),(41,1),(45,1),(50,1)}
        33:{1,2,4,5,7}:{(18,1),(46,1),(50,1),(72,1),(80,1),(81,1),(85,1),(100,1),(101,1)}
        34:{1,2,3,5,7}:{(21,1),(23,1),(51,1),(53,1),(63,1),(87,1),(91,1)}
        35:{3,4,5,7}:{(19,1),(22,1),(26,1),(54,1),(55,1),(56,1),(62,1),(90,1),(91,1),(105,1),(111,1)}
        36:{4,6}:{(19,1),(20,1)}
        37:{3,5,6,7}:{(20,1),(28,1),(57,1),(66,1),(90,1)}
        38:{1,2,4}:{(21,1),(58,1)}
        39:{2,4,5}:{(22,1),(30,1),(60,1),(105,1)}
        40:{1,4,5}:{(22,1),(31,1),(61,1),(105,1)}
        41:{3,4,6}:{(22,1),(32,1),(60,1),(61,1),(62,1),(95,1)}
        42:{1,2,4,7}:{(23,1),(24,1),(25,1),(29,1),(63,1)}
        43:{2,3,5,7}:{(24,1),(26,1),(30,1),(54,1),(63,1),(64,1),(91,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(31,1),(55,1),(63,1),(65,1),(91,1)}
        45:{3,6}:{(26,1),(27,1)}
        46:{1,2,4,6,7}:{(27,1),(28,1),(33,1),(57,1),(66,1),(93,1),(94,1),(97,1)}
        47:{1,2,5}:{(29,1),(30,1),(31,1)}
        48:{2,3,5,6}:{(30,1),(32,1),(60,1),(64,1),(67,1),(68,1),(88,1),(95,1),(106,1)}
        49:{1,3,5,6}:{(31,1),(32,1),(61,1),(65,1),(67,1),(69,1),(89,1),(95,1),(106,1)}
        50:{3,5,7}:{(32,1),(33,1),(62,1),(66,1)}
        51:{1,2,3,6}:{(34,1),(70,1),(82,1),(102,1)}
        52:{4,5,6}:{(36,1),(71,1),(72,1),(109,1)}
        53:{1,2,4,7}:{(34,1),(38,1),(70,1),(73,1)}
        54:{2,4,5,7}:{(35,1),(39,1),(43,1),(75,1),(80,1),(100,1)}
        55:{1,4,5,7}:{(35,1),(40,1),(44,1),(76,1),(81,1),(101,1)}
        56:{3,4,6}:{(35,1),(36,1),(45,1),(71,1),(75,1),(76,1),(102,1),(109,1)}
        57:{4,6,7}:{(36,1),(37,1),(72,1)}
        58:{3,4}:{(38,1),(78,1)}
        59:{1,2,4,5}:{(38,1),(39,1),(40,1),(47,1),(78,1),(79,1)}
        60:{2,4,6}:{(39,1),(41,1),(48,1),(80,1),(109,1)}
        61:{1,4,6}:{(40,1),(41,1),(49,1),(81,1),(109,1)}
        62:{3,4,7}:{(41,1),(50,1),(80,1),(81,1),(104,1)}
        63:{1,2,5,7}:{(42,1),(43,1),(44,1),(47,1),(82,1)}
        64:{2,3,6}:{(43,1),(45,1),(75,1),(82,1),(102,1)}
        65:{1,3,6}:{(44,1),(45,1),(76,1),(82,1),(102,1)}
        66:{3,6,7}:{(45,1),(46,1),(50,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(49,1),(79,1),(82,1),(85,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(80,1),(83,1),(85,1),(100,1),(104,1),(110,1)}
        69:{1,3,5,7}:{(49,1),(50,1),(81,1),(84,1),(85,1),(101,1),(104,1),(110,1)}
        70:{1,2,4,6}:{(51,1),(53,1),(86,1),(87,1)}
        71:{3,5,6}:{(52,1),(56,1),(88,1),(89,1),(90,1)}
        72:{4,5,7}:{(52,1),(57,1),(90,1),(111,1)}
        73:{3,4,7}:{(53,1),(58,1),(86,1),(91,1),(111,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(59,1),(63,1),(87,1),(91,1),(92,1),(96,1),(105,1),(107,1),(111,1)}
        75:{2,4,6}:{(54,1),(56,1),(64,1),(88,1)}
        76:{1,4,6}:{(55,1),(56,1),(65,1),(89,1)}
        77:{3,4,6,7}:{(56,1),(57,1),(62,1),(66,1),(90,1),(93,1),(94,1),(108,1),(111,1)}
        78:{3,5}:{(58,1),(59,1),(95,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(67,1),(95,1),(96,1)}
        80:{2,4,7}:{(60,1),(62,1),(68,1),(111,1)}
        81:{1,4,7}:{(61,1),(62,1),(69,1),(111,1)}
        82:{1,2,6}:{(63,1),(64,1),(65,1)}
        83:{2,3,6,7}:{(64,1),(66,1),(68,1),(93,1),(97,1),(108,1)}
        84:{1,3,6,7}:{(65,1),(66,1),(69,1),(94,1),(97,1),(108,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(96,1),(97,1)}
        86:{3,4,6}:{(70,1),(73,1),(98,1),(102,1),(109,1)}
        87:{1,2,5}:{(70,1),(98,1)}
        88:{2,5,6}:{(71,1),(75,1),(100,1)}
        89:{1,5,6}:{(71,1),(76,1),(101,1)}
        90:{3,5,7}:{(71,1),(72,1),(77,1),(100,1),(101,1)}
        91:{3,5,7}:{(73,1),(74,1),(78,1),(98,1),(102,1),(104,1)}
        92:{1,2,4,6}:{(74,1),(75,1),(76,1),(82,1),(99,1),(102,1),(109,1)}
        93:{2,4,6,7}:{(75,1),(77,1),(80,1),(83,1),(100,1)}
        94:{1,4,6,7}:{(76,1),(77,1),(81,1),(84,1),(101,1)}
        95:{3,6}:{(78,1),(79,1),(104,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(85,1),(104,1)}
        97:{1,2,6,7}:{(82,1),(83,1),(84,1),(85,1)}
        98:{3,5}:{(86,1),(87,1),(105,1)}
        99:{1,2,5,6}:{(87,1),(88,1),(89,1),(92,1),(106,1),(107,1)}
       100:{2,5,7}:{(88,1),(90,1),(93,1)}
       101:{1,5,7}:{(89,1),(90,1),(94,1)}
       102:{3,6}:{(91,1),(92,1)}
       103:{1,2,4,6,7}:{(92,1),(93,1),(94,1),(96,1),(97,1),(107,1),(108,1),(111,1)}
       104:{3,7}:{(95,1),(96,1)}
       105:{4,5}:{(98,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(102,1),(109,1),(110,1)}
       107:{1,2,5,7}:{(99,1),(100,1),(101,1),(103,1),(110,1)}
       108:{3,6,7}:{(102,1),(103,1),(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1706 :   0:{3,4,5,6}:{(3,1),(4,1),(5,1),(34,1),(77,1),(116,1),(140,1)}
         1:{2,3,4,5}:{(6,1),(7,1),(41,1),(77,1),(83,1)}
         2:{1,3,4,5}:{(8,1),(9,1),(38,1),(77,1),(81,1)}
         3:{3,4,5,7}:{(0,1),(14,1),(15,1),(16,1),(55,1),(130,1)}
         4:{1,4,5,6}:{(0,1),(12,1),(15,1),(92,1),(127,1)}
         5:{2,4,5,6}:{(0,1),(11,1),(16,1),(95,1),(129,1)}
         6:{2,3,4,6}:{(1,1),(11,1),(18,1),(19,1),(56,1)}
         7:{1,2,4,5}:{(1,1),(19,1),(20,1),(58,1),(92,1),(100,1)}
         8:{1,3,4,6}:{(2,1),(12,1),(21,1),(22,1),(56,1)}
         9:{1,2,4,5}:{(2,1),(22,1),(23,1),(58,1),(95,1),(100,1)}
        10:{1,2,3,5,6}:{(24,1),(25,1),(48,1),(51,1),(57,1),(64,1),(100,1),(104,1),(105,1),(132,1)}
        11:{2,3,5,6}:{(5,1),(6,1),(26,1),(27,1),(34,1),(83,1),(119,1)}
        12:{1,3,5,6}:{(4,1),(8,1),(28,1),(29,1),(34,1),(81,1),(118,1)}
        13:{4,5,6,7}:{(30,1),(114,1),(140,1)}
        14:{3,4,6,7}:{(3,1),(30,1),(31,1),(32,1),(75,1),(114,1),(116,1)}
        15:{1,4,5,7}:{(3,1),(4,1),(28,1),(31,1)}
        16:{2,4,5,7}:{(3,1),(5,1),(26,1),(32,1)}
        17:{1,2,4,5,6}:{(4,1),(5,1),(27,1),(29,1),(33,1),(34,1),(45,1),(70,1),(73,1),(87,1),(109,1),(137,1),(138,1),(139,1),(140,1)}
        18:{2,3,4,7}:{(6,1),(26,1),(36,1),(76,1)}
        19:{1,2,4,6}:{(6,1),(7,1),(27,1),(36,1),(37,1),(70,1)}
        20:{1,3,5}:{(7,1),(37,1),(38,1)}
        21:{1,3,4,7}:{(8,1),(28,1),(39,1),(76,1)}
        22:{1,2,4,6}:{(8,1),(9,1),(29,1),(39,1),(40,1),(73,1)}
        23:{2,3,5}:{(9,1),(40,1),(41,1)}
        24:{1,2,3,5,7}:{(10,1),(43,1),(44,1),(69,1),(72,1),(78,1),(85,1),(86,1),(117,1)}
        25:{1,2,4,6}:{(10,1),(42,1),(44,1),(45,1),(70,1),(73,1)}
        26:{2,3,5,7}:{(11,1),(16,1),(18,1),(46,1),(47,1),(55,1)}
        27:{1,2,5,6}:{(11,1),(19,1),(47,1),(48,1),(100,1),(132,1)}
        28:{1,3,5,7}:{(12,1),(15,1),(21,1),(49,1),(50,1),(55,1)}
        29:{1,2,5,6}:{(12,1),(22,1),(50,1),(51,1),(100,1),(132,1)}
        30:{3,5,6,7}:{(13,1),(14,1),(52,1),(53,1),(131,1)}
        31:{1,4,6,7}:{(14,1),(15,1),(49,1),(52,1),(127,1)}
        32:{2,4,6,7}:{(14,1),(16,1),(46,1),(53,1),(129,1)}
        33:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(47,1),(50,1),(54,1),(55,1),(91,1),(94,1),(126,1),(128,1),(130,1)}
        34:{3,5,6}:{(17,1),(55,1),(56,1),(64,1),(104,1),(123,1),(142,1)}
        35:{1,2,3,5}:{(20,1),(23,1),(57,1),(58,1),(100,1)}
        36:{1,2,4,7}:{(18,1),(19,1),(47,1),(59,1),(91,1)}
        37:{1,3,6}:{(19,1),(20,1),(59,1)}
        38:{1,3,4}:{(20,1),(58,1)}
        39:{1,2,4,7}:{(21,1),(22,1),(50,1),(61,1),(94,1)}
        40:{2,3,6}:{(22,1),(23,1),(61,1)}
        41:{2,3,4}:{(23,1),(58,1)}
        42:{3,4,6}:{(25,1),(63,1),(64,1),(104,1)}
        43:{1,2,3,6,7}:{(24,1),(65,1),(90,1),(93,1),(104,1),(132,1)}
        44:{1,2,4,7}:{(24,1),(25,1),(63,1),(91,1),(94,1)}
        45:{1,2,4,5}:{(25,1),(64,1),(92,1),(95,1),(100,1)}
        46:{2,3,6,7}:{(26,1),(32,1),(68,1),(75,1),(119,1)}
        47:{1,2,5,7}:{(26,1),(27,1),(36,1),(68,1),(69,1)}
        48:{1,3,5,6}:{(27,1),(34,1),(37,1),(69,1),(70,1),(81,1),(118,1),(138,1)}
        49:{1,3,6,7}:{(28,1),(31,1),(71,1),(75,1),(118,1)}
        50:{1,2,5,7}:{(28,1),(29,1),(39,1),(71,1),(72,1)}
        51:{2,3,5,6}:{(29,1),(34,1),(40,1),(72,1),(73,1),(83,1),(119,1),(139,1)}
        52:{1,5,6,7}:{(30,1),(31,1),(138,1)}
        53:{2,5,6,7}:{(30,1),(32,1),(139,1)}
        54:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(68,1),(71,1),(74,1),(75,1),(87,1),(110,1),(112,1),(114,1),(137,1)}
        55:{3,5,7}:{(33,1),(34,1),(75,1),(76,1)}
        56:{3,4,6}:{(34,1),(70,1),(73,1),(76,1),(77,1)}
        57:{1,2,3,6}:{(35,1),(37,1),(40,1),(78,1),(79,1)}
        58:{1,2,4}:{(35,1),(38,1),(41,1)}
        59:{1,3,7}:{(36,1),(37,1)}
        60:{1,3,4,6}:{(37,1),(38,1),(42,1),(70,1),(79,1),(80,1),(81,1),(106,1),(118,1)}
        61:{2,3,7}:{(39,1),(40,1)}
        62:{2,3,4,6}:{(40,1),(41,1),(42,1),(73,1),(79,1),(82,1),(83,1),(106,1),(119,1)}
        63:{3,4,7}:{(42,1),(44,1),(85,1)}
        64:{3,5}:{(42,1),(45,1)}
        65:{1,2,4,6,7}:{(43,1),(44,1),(84,1),(86,1),(87,1),(110,1),(112,1)}
        66:{1,2,4,5,7}:{(44,1),(45,1),(85,1),(86,1),(87,1),(111,1),(113,1),(117,1),(120,1)}
        67:{1,2,3,5,6}:{(48,1),(51,1),(57,1),(88,1),(89,1),(100,1),(123,1),(132,1),(142,1),(143,1)}
        68:{1,2,6,7}:{(46,1),(47,1),(90,1),(132,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(55,1),(59,1),(90,1),(91,1),(126,1)}
        70:{1,4,6}:{(48,1),(56,1),(91,1),(92,1)}
        71:{1,2,6,7}:{(49,1),(50,1),(93,1),(132,1)}
        72:{2,3,5,7}:{(50,1),(51,1),(55,1),(61,1),(93,1),(94,1),(128,1)}
        73:{2,4,6}:{(51,1),(56,1),(94,1),(95,1)}
        74:{1,2,5,6,7}:{(52,1),(53,1),(54,1),(96,1),(105,1),(126,1),(128,1),(143,1)}
        75:{3,6,7}:{(54,1),(55,1),(104,1),(142,1)}
        76:{3,4,7}:{(55,1),(56,1),(91,1),(94,1)}
        77:{3,4,5}:{(56,1),(64,1),(92,1),(95,1),(123,1)}
        78:{1,2,3,7}:{(57,1),(59,1),(61,1),(99,1)}
        79:{1,2,4,6}:{(57,1),(58,1),(60,1),(62,1),(99,1),(100,1),(132,1)}
        80:{1,3,4,7}:{(59,1),(60,1),(63,1),(91,1),(99,1),(101,1),(122,1)}
        81:{1,3,5}:{(60,1),(64,1),(92,1),(100,1),(123,1)}
        82:{2,3,4,7}:{(61,1),(62,1),(63,1),(94,1),(99,1),(102,1),(122,1)}
        83:{2,3,5}:{(62,1),(64,1),(95,1),(100,1),(123,1)}
        84:{3,4,6,7}:{(63,1),(65,1),(103,1),(104,1),(133,1)}
        85:{3,5,7}:{(63,1),(64,1),(66,1),(104,1)}
        86:{1,2,5,7}:{(65,1),(103,1),(105,1),(126,1),(128,1)}
        87:{1,2,4,6}:{(66,1),(104,1),(105,1),(127,1),(129,1),(132,1),(133,1)}
        88:{1,2,3,5,7}:{(67,1),(69,1),(72,1),(78,1),(107,1),(108,1),(117,1),(135,1),(136,1)}
        89:{1,2,4,6}:{(67,1),(70,1),(73,1),(106,1),(108,1),(109,1)}
        90:{1,3,6,7}:{(68,1),(69,1),(75,1),(110,1),(118,1)}
        91:{1,4,7}:{(69,1),(70,1),(76,1)}
        92:{1,4,5}:{(70,1),(77,1),(81,1)}
        93:{2,3,6,7}:{(71,1),(72,1),(75,1),(112,1),(119,1)}
        94:{2,4,7}:{(72,1),(73,1),(76,1)}
        95:{2,4,5}:{(73,1),(77,1),(83,1)}
        96:{3,5,6,7}:{(74,1),(75,1),(114,1),(115,1),(121,1),(145,1)}
        97:{3,4,6,7}:{(75,1),(76,1),(110,1),(112,1),(114,1),(115,1),(116,1)}
        98:{3,4,5,7}:{(76,1),(77,1),(85,1),(111,1),(113,1),(115,1),(116,1),(120,1),(135,1),(144,1)}
        99:{1,2,4,7}:{(78,1),(79,1),(80,1),(82,1),(117,1)}
       100:{1,2,5}:{(79,1),(81,1),(83,1)}
       101:{1,3,5,7}:{(80,1),(81,1),(85,1),(111,1),(117,1),(118,1),(135,1)}
       102:{2,3,5,7}:{(82,1),(83,1),(85,1),(113,1),(117,1),(119,1),(135,1)}
       103:{3,5,7}:{(84,1),(86,1),(120,1),(121,1)}
       104:{3,6}:{(85,1),(87,1)}
       105:{1,2,5,6}:{(86,1),(87,1),(121,1),(138,1),(139,1)}
       106:{3,4,6}:{(89,1),(122,1),(123,1),(142,1)}
       107:{1,2,3,6,7}:{(88,1),(90,1),(93,1),(124,1),(132,1),(142,1)}
       108:{1,2,4,7}:{(88,1),(89,1),(91,1),(94,1),(122,1)}
       109:{1,2,4,5}:{(89,1),(92,1),(95,1),(100,1),(123,1)}
       110:{1,4,6,7}:{(90,1),(91,1),(97,1),(126,1),(127,1)}
       111:{1,4,5,7}:{(91,1),(92,1),(98,1),(101,1),(126,1),(127,1)}
       112:{2,4,6,7}:{(93,1),(94,1),(97,1),(128,1),(129,1)}
       113:{2,4,5,7}:{(94,1),(95,1),(98,1),(102,1),(128,1),(129,1)}
       114:{4,6,7}:{(96,1),(130,1),(133,1),(146,1)}
       115:{3,5,7}:{(97,1),(126,1),(128,1),(130,1),(131,1)}
       116:{3,4,6}:{(98,1),(104,1),(127,1),(129,1),(131,1),(133,1),(142,1),(146,1)}
       117:{1,2,5,7}:{(99,1),(100,1),(101,1),(102,1),(132,1)}
       118:{1,3,6}:{(101,1),(104,1),(127,1),(132,1),(142,1)}
       119:{2,3,6}:{(102,1),(104,1),(129,1),(132,1),(142,1)}
       120:{4,5,7}:{(103,1),(133,1)}
       121:{3,5,6}:{(103,1),(104,1),(105,1),(133,1)}
       122:{3,4,7}:{(106,1),(108,1),(135,1)}
       123:{3,5}:{(106,1),(109,1)}
       124:{1,2,4,6,7}:{(107,1),(108,1),(110,1),(112,1),(134,1),(136,1),(137,1)}
       125:{1,2,4,5,7}:{(108,1),(109,1),(111,1),(113,1),(117,1),(135,1),(136,1),(137,1),(144,1)}
       126:{1,5,7}:{(110,1),(115,1),(138,1)}
       127:{1,4,6}:{(111,1),(116,1),(118,1),(138,1)}
       128:{2,5,7}:{(112,1),(115,1),(139,1)}
       129:{2,4,6}:{(113,1),(116,1),(119,1),(139,1)}
       130:{4,5,7}:{(114,1),(115,1),(140,1)}
       131:{3,5,6}:{(115,1),(116,1),(138,1),(139,1),(140,1)}
       132:{1,2,6}:{(117,1),(118,1),(119,1)}
       133:{4,6}:{(120,1),(121,1)}
       134:{3,4,6,7}:{(122,1),(124,1),(141,1),(142,1),(146,1)}
       135:{3,5,7}:{(122,1),(123,1),(125,1),(142,1)}
       136:{1,2,5,7}:{(124,1),(126,1),(128,1),(141,1),(143,1)}
       137:{1,2,4,6}:{(125,1),(127,1),(129,1),(132,1),(142,1),(143,1),(146,1)}
       138:{1,5,6}:{(126,1),(127,1),(131,1)}
       139:{2,5,6}:{(128,1),(129,1),(131,1)}
       140:{4,5,6}:{(130,1),(131,1),(133,1),(146,1)}
       141:{3,5,7}:{(134,1),(136,1),(144,1),(145,1)}
       142:{3,6}:{(135,1),(137,1)}
       143:{1,2,5,6}:{(136,1),(137,1),(138,1),(139,1),(145,1)}
       144:{4,5,7}:{(141,1),(146,1)}
       145:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

1707 :   0:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(27,1),(29,1),(50,1),(66,1)}
         1:{2,3,5,6,7}:{(4,1),(6,1),(16,1),(28,1),(29,1),(56,1),(67,1)}
         2:{2,3,4,6,7}:{(7,1),(8,1),(15,1),(33,1),(49,1),(70,1),(72,1),(85,1),(108,1),(113,1),(119,1)}
         3:{1,3,4,6,7}:{(9,1),(10,1),(14,1),(38,1),(48,1),(76,1),(78,1),(84,1),(107,1),(112,1),(119,1)}
         4:{1,2,5,6,7}:{(0,1),(1,1),(13,1),(32,1),(37,1),(46,1),(47,1),(86,1)}
         5:{1,4,6,7}:{(0,1),(11,1),(14,1),(38,1),(69,1),(84,1)}
         6:{2,4,6,7}:{(1,1),(12,1),(15,1),(33,1),(75,1),(85,1)}
         7:{1,2,4,6,7}:{(2,1),(17,1),(18,1),(31,1),(51,1),(53,1),(68,1),(105,1),(126,1)}
         8:{2,3,5,7}:{(2,1),(16,1),(18,1),(19,1),(28,1),(54,1),(121,1),(125,1)}
         9:{1,2,4,6,7}:{(3,1),(21,1),(22,1),(30,1),(57,1),(59,1),(68,1),(105,1),(122,1)}
        10:{1,3,5,7}:{(3,1),(20,1),(22,1),(23,1),(27,1),(60,1),(120,1),(124,1)}
        11:{1,4,5,7}:{(5,1),(24,1),(27,1),(87,1)}
        12:{2,4,5,7}:{(6,1),(25,1),(28,1),(94,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(26,1),(29,1),(30,1),(31,1),(51,1),(57,1),(68,1),(105,1)}
        14:{3,4,6,7}:{(5,1),(27,1),(29,1),(30,1),(58,1),(65,1),(88,1)}
        15:{3,4,6,7}:{(6,1),(28,1),(29,1),(31,1),(52,1),(65,1),(95,1)}
        16:{2,3,5,6}:{(8,1),(32,1),(33,1),(44,1),(70,1)}
        17:{1,3,6,7}:{(7,1),(34,1),(70,1),(119,1),(133,1)}
        18:{1,2,5,7}:{(7,1),(8,1),(32,1),(34,1),(47,1),(132,1)}
        19:{2,4,5,7}:{(8,1),(33,1),(36,1),(85,1),(117,1)}
        20:{1,3,5,6}:{(10,1),(37,1),(38,1),(43,1),(76,1)}
        21:{2,3,6,7}:{(9,1),(39,1),(76,1),(119,1),(131,1)}
        22:{1,2,5,7}:{(9,1),(10,1),(37,1),(39,1),(46,1),(130,1)}
        23:{1,4,5,7}:{(10,1),(38,1),(41,1),(84,1),(116,1)}
        24:{1,4,5,6}:{(11,1),(38,1),(43,1)}
        25:{2,4,5,6}:{(12,1),(33,1),(44,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(42,1),(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        27:{3,5,7}:{(11,1),(14,1),(43,1),(46,1),(106,1)}
        28:{3,5,7}:{(12,1),(15,1),(44,1),(47,1),(111,1)}
        29:{3,6,7}:{(13,1),(45,1),(70,1),(76,1),(119,1)}
        30:{2,4,6,7}:{(14,1),(46,1),(49,1),(77,1),(85,1),(108,1)}
        31:{1,4,6,7}:{(15,1),(47,1),(48,1),(71,1),(84,1),(112,1)}
        32:{1,2,5,6}:{(16,1),(18,1),(50,1),(51,1),(64,1),(121,1)}
        33:{2,4,6}:{(16,1),(19,1),(52,1)}
        34:{1,3,5,7}:{(17,1),(18,1),(50,1),(53,1),(54,1),(136,1)}
        35:{1,2,4,5,7}:{(18,1),(19,1),(51,1),(53,1),(54,1),(55,1),(87,1),(92,1),(93,1),(105,1),(121,1),(128,1)}
        36:{3,4,5,7}:{(19,1),(28,1),(52,1),(54,1),(55,1),(65,1),(101,1)}
        37:{1,2,5,6}:{(20,1),(22,1),(56,1),(57,1),(63,1),(124,1)}
        38:{1,4,6}:{(20,1),(23,1),(58,1)}
        39:{2,3,5,7}:{(21,1),(22,1),(56,1),(59,1),(60,1),(135,1)}
        40:{1,2,4,5,7}:{(22,1),(23,1),(57,1),(59,1),(60,1),(61,1),(94,1),(98,1),(100,1),(105,1),(124,1),(128,1)}
        41:{3,4,5,7}:{(23,1),(27,1),(58,1),(60,1),(61,1),(65,1),(101,1)}
        42:{1,2,4,5,6}:{(24,1),(25,1),(26,1),(51,1),(57,1),(62,1),(63,1),(64,1),(87,1),(94,1),(102,1),(103,1),(104,1),(121,1),(124,1),(128,1)}
        43:{3,5,6}:{(24,1),(27,1),(58,1),(63,1)}
        44:{3,5,6}:{(25,1),(28,1),(52,1),(64,1)}
        45:{3,5,7}:{(26,1),(29,1),(62,1),(65,1)}
        46:{2,5,7}:{(27,1),(30,1),(63,1),(121,1)}
        47:{1,5,7}:{(28,1),(31,1),(64,1),(124,1)}
        48:{1,3,6,7}:{(29,1),(31,1),(66,1),(68,1),(89,1),(96,1)}
        49:{2,3,6,7}:{(29,1),(30,1),(67,1),(68,1),(90,1),(97,1)}
        50:{1,3,5,6}:{(32,1),(34,1),(69,1),(70,1),(106,1)}
        51:{1,2,4,6}:{(32,1),(33,1),(35,1),(69,1),(70,1),(71,1),(108,1),(109,1)}
        52:{3,4,6}:{(33,1),(36,1),(44,1),(70,1),(71,1)}
        53:{1,4,7}:{(34,1),(69,1),(72,1),(139,1)}
        54:{3,5,7}:{(35,1),(70,1),(72,1),(106,1),(119,1),(134,1)}
        55:{1,4,5,7}:{(36,1),(47,1),(71,1),(73,1),(84,1),(116,1)}
        56:{2,3,5,6}:{(37,1),(39,1),(75,1),(76,1),(111,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(40,1),(75,1),(76,1),(77,1),(112,1),(114,1)}
        58:{3,4,6}:{(38,1),(41,1),(43,1),(76,1),(77,1)}
        59:{2,4,7}:{(39,1),(75,1),(78,1),(138,1)}
        60:{3,5,7}:{(40,1),(76,1),(78,1),(111,1),(119,1),(134,1)}
        61:{2,4,5,7}:{(41,1),(46,1),(77,1),(80,1),(85,1),(117,1)}
        62:{3,5,6}:{(42,1),(45,1),(70,1),(76,1),(81,1),(106,1),(111,1),(134,1)}
        63:{2,5,6}:{(43,1),(46,1),(77,1)}
        64:{1,5,6}:{(44,1),(47,1),(71,1)}
        65:{3,4,7}:{(45,1),(81,1),(84,1),(85,1),(119,1)}
        66:{1,3,5,7}:{(45,1),(47,1),(48,1),(82,1),(84,1),(86,1),(119,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(49,1),(83,1),(85,1),(86,1),(119,1)}
        68:{1,2,6,7}:{(48,1),(49,1),(86,1),(109,1),(114,1)}
        69:{1,4,6}:{(50,1),(53,1),(87,1),(88,1)}
        70:{3,6}:{(51,1),(54,1)}
        71:{1,4,6}:{(52,1),(55,1),(64,1),(89,1)}
        72:{3,4,7}:{(53,1),(54,1),(88,1),(92,1),(137,1)}
        73:{1,3,5,7}:{(54,1),(55,1),(89,1),(91,1),(93,1),(120,1)}
        74:{2,3,5,7}:{(54,1),(90,1),(92,1),(93,1),(121,1),(123,1),(135,1)}
        75:{2,4,6}:{(56,1),(59,1),(94,1),(95,1)}
        76:{3,6}:{(57,1),(60,1)}
        77:{2,4,6}:{(58,1),(61,1),(63,1),(97,1)}
        78:{3,4,7}:{(59,1),(60,1),(95,1),(98,1),(137,1)}
        79:{1,3,5,7}:{(60,1),(96,1),(98,1),(100,1),(124,1),(127,1),(136,1)}
        80:{2,3,5,7}:{(60,1),(61,1),(97,1),(99,1),(100,1),(125,1)}
        81:{3,4,6}:{(62,1),(65,1),(101,1),(102,1),(103,1),(129,1),(137,1)}
        82:{1,3,5,6}:{(62,1),(64,1),(66,1),(89,1),(96,1),(102,1),(104,1),(120,1),(124,1),(129,1),(136,1)}
        83:{2,3,5,6}:{(62,1),(63,1),(67,1),(90,1),(97,1),(103,1),(104,1),(121,1),(125,1),(129,1),(135,1)}
        84:{1,4,7}:{(65,1),(66,1),(102,1)}
        85:{2,4,7}:{(65,1),(67,1),(103,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(104,1),(105,1)}
        87:{1,4,5}:{(69,1),(106,1)}
        88:{3,4,6}:{(69,1),(70,1),(72,1),(106,1),(108,1)}
        89:{1,3,6}:{(70,1),(71,1),(73,1),(109,1)}
        90:{2,3,6}:{(70,1),(74,1),(108,1),(109,1)}
        91:{1,3,4,7}:{(72,1),(73,1),(84,1),(107,1),(110,1),(119,1)}
        92:{2,4,7}:{(72,1),(74,1),(108,1),(138,1)}
        93:{1,2,5,7}:{(73,1),(74,1),(109,1),(110,1),(130,1)}
        94:{2,4,5}:{(75,1),(111,1)}
        95:{3,4,6}:{(75,1),(76,1),(78,1),(111,1),(112,1)}
        96:{1,3,6}:{(76,1),(79,1),(112,1),(114,1)}
        97:{2,3,6}:{(76,1),(77,1),(80,1),(114,1)}
        98:{1,4,7}:{(78,1),(79,1),(112,1),(139,1)}
        99:{2,3,4,7}:{(78,1),(80,1),(85,1),(113,1),(115,1),(119,1)}
       100:{1,2,5,7}:{(79,1),(80,1),(114,1),(115,1),(132,1)}
       101:{3,4,5}:{(81,1),(106,1),(111,1),(116,1),(117,1),(134,1)}
       102:{1,4,6}:{(81,1),(82,1),(84,1),(116,1),(139,1)}
       103:{2,4,6}:{(81,1),(83,1),(85,1),(117,1),(138,1)}
       104:{1,2,5,6}:{(82,1),(83,1),(86,1),(109,1),(114,1),(118,1),(130,1),(132,1)}
       105:{1,2,4,7}:{(84,1),(85,1),(86,1),(118,1),(119,1)}
       106:{3,5}:{(87,1),(88,1),(121,1)}
       107:{1,3,4,6}:{(88,1),(89,1),(91,1),(102,1),(120,1),(122,1),(129,1),(137,1)}
       108:{2,4,6}:{(88,1),(90,1),(92,1),(121,1)}
       109:{1,2,6}:{(89,1),(90,1),(93,1)}
       110:{1,2,4,7}:{(91,1),(92,1),(93,1),(122,1),(123,1)}
       111:{3,5}:{(94,1),(95,1),(124,1)}
       112:{1,4,6}:{(95,1),(96,1),(98,1),(124,1)}
       113:{2,3,4,6}:{(95,1),(97,1),(99,1),(103,1),(125,1),(126,1),(129,1),(137,1)}
       114:{1,2,6}:{(96,1),(97,1),(100,1)}
       115:{1,2,4,7}:{(98,1),(99,1),(100,1),(126,1),(127,1)}
       116:{1,4,5}:{(101,1),(102,1),(120,1),(124,1)}
       117:{2,4,5}:{(101,1),(103,1),(121,1),(125,1)}
       118:{1,2,4,6}:{(102,1),(103,1),(104,1),(105,1),(128,1),(129,1)}
       119:{3,7}:{(105,1),(129,1)}
       120:{1,3,5}:{(106,1),(107,1),(116,1),(130,1),(134,1)}
       121:{2,5}:{(106,1),(108,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(110,1),(130,1),(131,1),(138,1)}
       123:{2,3,7}:{(110,1),(119,1),(131,1)}
       124:{1,5}:{(111,1),(112,1)}
       125:{2,3,5}:{(111,1),(113,1),(117,1),(132,1),(134,1)}
       126:{1,2,4,6}:{(112,1),(113,1),(114,1),(115,1),(132,1),(133,1),(139,1)}
       127:{1,3,7}:{(115,1),(119,1),(133,1)}
       128:{1,2,4,5}:{(116,1),(117,1),(118,1),(130,1),(132,1),(134,1),(138,1),(139,1)}
       129:{3,6}:{(118,1),(119,1),(134,1)}
       130:{1,2,5}:{(120,1),(121,1),(122,1),(135,1)}
       131:{2,3,6}:{(122,1),(123,1),(129,1),(135,1)}
       132:{1,2,5}:{(124,1),(125,1),(126,1),(136,1)}
       133:{1,3,6}:{(126,1),(127,1),(129,1),(136,1)}
       134:{3,5}:{(128,1),(129,1),(137,1)}
       135:{2,3,5}:{(130,1),(131,1),(134,1),(138,1)}
       136:{1,3,5}:{(132,1),(133,1),(134,1),(139,1)}
       137:{3,4}:{(134,1),(138,1),(139,1)}
       138:{2,4}:{(135,1),(137,1)}
       139:{1,4}:{(136,1),(137,1)}

1708 :   0:{1,2,4,5,6,7}:{(1,1),(8,1),(9,1),(10,1),(19,1),(29,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(35,1),(46,1)}
         2:{1,2,3,5,6,7}:{(6,1),(10,1),(20,1),(30,1),(55,1),(56,1),(57,1),(58,1),(60,1),(62,1),(102,1),(103,1),(147,1),(163,1),(166,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(30,1),(51,1),(64,1)}
         4:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(25,1),(30,1),(55,1),(60,1)}
         5:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(23,1),(30,1),(56,1),(62,1)}
         6:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(73,1),(74,1),(81,1),(83,1),(128,1),(171,1),(173,1)}
         7:{3,4,5,7}:{(3,1),(15,1),(16,1),(17,1),(46,1)}
         8:{1,4,6,7}:{(3,1),(4,1),(16,1),(73,1),(81,1)}
         9:{2,4,6,7}:{(3,1),(5,1),(17,1),(74,1),(83,1)}
        10:{1,2,5,6,7}:{(4,1),(5,1),(18,1),(40,1),(43,1),(78,1)}
        11:{1,2,4,5,7}:{(6,1),(19,1),(20,1),(52,1),(53,1),(57,1),(149,1)}
        12:{3,4,6,7}:{(6,1),(20,1),(30,1),(51,1),(64,1),(147,1),(148,1),(169,1)}
        13:{2,3,4,6,7}:{(9,1),(23,1),(24,1),(30,1),(47,1),(64,1)}
        14:{1,3,4,6,7}:{(8,1),(25,1),(26,1),(30,1),(49,1),(64,1)}
        15:{3,4,5,6}:{(7,1),(27,1),(28,1),(51,1),(63,1),(170,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(25,1),(27,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(23,1),(28,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(29,1),(30,1),(100,1)}
        19:{1,2,4,5,6}:{(11,1),(35,1),(73,1),(74,1),(78,1)}
        20:{3,5,7}:{(11,1),(12,1),(35,1),(162,1)}
        21:{1,3,4,6,7}:{(12,1),(36,1),(38,1),(41,1),(73,1),(81,1),(114,1),(126,1),(127,1),(157,1),(158,1),(173,1)}
        22:{2,3,4,6,7}:{(12,1),(37,1),(38,1),(44,1),(74,1),(83,1),(121,1),(126,1),(127,1),(152,1),(153,1),(171,1)}
        23:{2,3,5,7}:{(13,1),(17,1),(39,1),(40,1),(46,1)}
        24:{1,2,4,6,7}:{(13,1),(40,1),(41,1),(66,1),(81,1)}
        25:{1,3,5,7}:{(14,1),(16,1),(42,1),(43,1),(46,1)}
        26:{1,2,4,6,7}:{(14,1),(43,1),(44,1),(69,1),(83,1)}
        27:{1,4,5,6}:{(15,1),(16,1),(42,1),(73,1),(174,1)}
        28:{2,4,5,6}:{(15,1),(17,1),(39,1),(74,1),(172,1)}
        29:{1,2,4,5,7}:{(16,1),(17,1),(18,1),(40,1),(43,1),(45,1),(46,1),(81,1),(83,1)}
        30:{3,6,7}:{(18,1),(46,1),(126,1)}
        31:{2,3,4,5,7}:{(23,1),(47,1),(48,1),(53,1),(64,1),(101,1),(107,1),(135,1),(165,1)}
        32:{1,3,4,5,7}:{(25,1),(49,1),(50,1),(52,1),(64,1),(101,1),(107,1),(142,1),(168,1)}
        33:{3,4,5,7}:{(20,1),(51,1),(52,1),(53,1),(64,1),(101,1),(107,1),(169,1),(170,1)}
        34:{1,2,4,5,6,7}:{(19,1),(54,1),(98,1),(99,1),(102,1),(145,1)}
        35:{3,5,6}:{(19,1),(20,1),(51,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(52,1),(55,1),(57,1),(101,1),(137,1),(168,1)}
        37:{2,3,5,7}:{(20,1),(22,1),(53,1),(56,1),(57,1),(101,1),(144,1),(165,1)}
        38:{1,2,4,6,7}:{(21,1),(22,1),(57,1),(58,1),(100,1),(104,1),(136,1),(143,1)}
        39:{2,3,5,6}:{(23,1),(28,1),(47,1),(59,1),(63,1),(165,1)}
        40:{1,2,5,7}:{(23,1),(24,1),(59,1),(60,1)}
        41:{1,3,6,7}:{(24,1),(30,1),(60,1),(88,1)}
        42:{1,3,5,6}:{(25,1),(27,1),(49,1),(61,1),(63,1),(168,1)}
        43:{1,2,5,7}:{(25,1),(26,1),(61,1),(62,1)}
        44:{2,3,6,7}:{(26,1),(30,1),(62,1),(93,1)}
        45:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(59,1),(61,1),(63,1),(100,1),(105,1),(106,1),(149,1)}
        46:{3,5,7}:{(29,1),(30,1),(63,1),(64,1)}
        47:{2,3,4,6}:{(31,1),(39,1),(66,1),(74,1),(84,1),(126,1)}
        48:{1,2,4,5,7}:{(31,1),(40,1),(66,1),(67,1),(81,1),(113,1),(129,1),(154,1)}
        49:{1,3,4,6}:{(32,1),(42,1),(69,1),(73,1),(84,1),(126,1)}
        50:{1,2,4,5,7}:{(32,1),(43,1),(69,1),(70,1),(83,1),(120,1),(130,1),(159,1)}
        51:{3,4,6}:{(33,1),(35,1),(73,1),(74,1),(126,1)}
        52:{1,4,5,7}:{(33,1),(36,1),(73,1),(81,1),(129,1),(173,1),(174,1)}
        53:{2,4,5,7}:{(33,1),(37,1),(74,1),(83,1),(130,1),(171,1),(172,1)}
        54:{3,5,6,7}:{(34,1),(35,1),(72,1),(160,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(73,1),(78,1),(126,1)}
        56:{2,3,5,6}:{(35,1),(37,1),(74,1),(78,1),(126,1)}
        57:{1,2,5,7}:{(36,1),(37,1),(38,1),(78,1),(154,1),(159,1)}
        58:{1,2,3,6,7}:{(38,1),(41,1),(44,1),(79,1),(112,1),(119,1),(126,1),(152,1),(157,1)}
        59:{1,2,5,6}:{(39,1),(40,1),(66,1),(80,1),(154,1)}
        60:{1,3,5,7}:{(40,1),(41,1),(46,1),(80,1),(81,1)}
        61:{1,2,5,6}:{(42,1),(43,1),(69,1),(82,1),(159,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(46,1),(82,1),(83,1)}
        63:{3,5,6}:{(45,1),(46,1),(84,1),(126,1),(162,1)}
        64:{3,4,7}:{(46,1),(81,1),(83,1),(84,1)}
        65:{1,3,4,5,7}:{(52,1),(85,1),(86,1),(89,1),(101,1),(131,1),(137,1),(169,1),(170,1)}
        66:{1,2,4,6}:{(47,1),(48,1),(59,1),(88,1),(105,1)}
        67:{1,3,5,7}:{(48,1),(88,1),(89,1),(101,1),(137,1)}
        68:{2,3,4,5,7}:{(53,1),(90,1),(91,1),(94,1),(101,1),(138,1),(144,1),(169,1),(170,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(61,1),(93,1),(106,1)}
        70:{2,3,5,7}:{(50,1),(93,1),(94,1),(101,1),(144,1)}
        71:{3,4,5,6}:{(51,1),(95,1),(96,1),(97,1),(107,1),(146,1)}
        72:{3,4,6,7}:{(51,1),(54,1),(95,1),(98,1),(99,1),(147,1),(169,1)}
        73:{1,4,6}:{(51,1),(52,1),(55,1)}
        74:{2,4,6}:{(51,1),(53,1),(56,1)}
        75:{1,2,4,5,7}:{(52,1),(53,1),(57,1),(100,1),(101,1),(104,1),(149,1)}
        76:{1,3,5,6,7}:{(54,1),(55,1),(98,1),(102,1),(131,1),(147,1),(166,1)}
        77:{2,3,5,6,7}:{(54,1),(56,1),(99,1),(102,1),(138,1),(147,1),(163,1)}
        78:{1,2,5,6}:{(55,1),(56,1),(57,1),(100,1)}
        79:{1,2,3,5,7}:{(57,1),(58,1),(60,1),(62,1),(101,1),(103,1),(104,1),(163,1),(166,1)}
        80:{1,3,5,6}:{(59,1),(60,1),(63,1),(88,1),(105,1),(137,1)}
        81:{1,4,7}:{(60,1),(64,1),(105,1)}
        82:{2,3,5,6}:{(61,1),(62,1),(63,1),(93,1),(106,1),(144,1)}
        83:{2,4,7}:{(62,1),(64,1),(106,1)}
        84:{3,4,6}:{(63,1),(64,1),(105,1),(106,1),(107,1)}
        85:{1,3,4,6}:{(65,1),(73,1),(108,1),(110,1),(126,1),(161,1)}
        86:{1,2,4,5,7}:{(65,1),(110,1),(111,1),(113,1),(150,1),(154,1),(171,1),(172,1)}
        87:{1,2,3,5,7}:{(67,1),(111,1),(112,1),(113,1),(154,1)}
        88:{1,3,6}:{(66,1),(67,1),(126,1)}
        89:{1,3,4,7}:{(67,1),(81,1),(113,1),(114,1),(127,1)}
        90:{2,3,4,6}:{(68,1),(74,1),(115,1),(117,1),(126,1),(161,1)}
        91:{1,2,4,5,7}:{(68,1),(117,1),(118,1),(120,1),(155,1),(159,1),(173,1),(174,1)}
        92:{1,2,3,5,7}:{(70,1),(118,1),(119,1),(120,1),(159,1)}
        93:{2,3,6}:{(69,1),(70,1),(126,1)}
        94:{2,3,4,7}:{(70,1),(83,1),(120,1),(121,1),(127,1)}
        95:{3,4,5,7}:{(71,1),(72,1),(122,1),(123,1),(160,1)}
        96:{1,4,5,6}:{(71,1),(73,1),(108,1),(122,1),(129,1)}
        97:{2,4,5,6}:{(71,1),(74,1),(115,1),(123,1),(130,1)}
        98:{1,4,6,7}:{(72,1),(73,1),(76,1),(122,1),(173,1)}
        99:{2,4,6,7}:{(72,1),(74,1),(77,1),(123,1),(171,1)}
       100:{1,2,4,6}:{(73,1),(74,1),(75,1),(78,1),(126,1)}
       101:{3,5,7}:{(75,1),(126,1),(127,1),(162,1)}
       102:{1,2,5,6,7}:{(76,1),(77,1),(78,1),(125,1),(150,1),(155,1)}
       103:{1,2,3,5,6}:{(78,1),(79,1),(80,1),(82,1),(112,1),(119,1),(126,1),(128,1),(151,1),(154,1),(156,1),(159,1),(162,1)}
       104:{1,2,4,7}:{(79,1),(81,1),(83,1),(127,1),(128,1),(171,1),(173,1)}
       105:{1,4,6}:{(80,1),(81,1),(84,1),(129,1)}
       106:{2,4,6}:{(82,1),(83,1),(84,1),(130,1)}
       107:{3,4,5}:{(84,1),(129,1),(130,1),(162,1)}
       108:{1,3,5,6}:{(85,1),(96,1),(131,1),(132,1),(137,1),(146,1)}
       109:{1,3,4,6,7}:{(85,1),(98,1),(131,1),(133,1),(147,1),(169,1)}
       110:{1,2,4,6}:{(85,1),(86,1),(132,1),(134,1),(164,1)}
       111:{2,3,5,7}:{(86,1),(101,1),(134,1),(135,1),(165,1)}
       112:{1,2,3,6}:{(87,1),(88,1),(134,1),(136,1)}
       113:{1,2,4,7}:{(87,1),(89,1),(135,1),(136,1)}
       114:{1,3,4,6}:{(88,1),(89,1),(105,1),(136,1),(137,1),(148,1)}
       115:{2,3,5,6}:{(90,1),(97,1),(138,1),(139,1),(144,1),(146,1)}
       116:{2,3,4,6,7}:{(90,1),(99,1),(138,1),(140,1),(147,1),(169,1)}
       117:{1,2,4,6}:{(90,1),(91,1),(139,1),(141,1),(167,1)}
       118:{1,3,5,7}:{(91,1),(101,1),(141,1),(142,1),(168,1)}
       119:{1,2,3,6}:{(92,1),(93,1),(141,1),(143,1)}
       120:{1,2,4,7}:{(92,1),(94,1),(142,1),(143,1)}
       121:{2,3,4,6}:{(93,1),(94,1),(106,1),(143,1),(144,1),(148,1)}
       122:{1,4,5,7}:{(95,1),(96,1),(98,1),(131,1)}
       123:{2,4,5,7}:{(95,1),(97,1),(99,1),(138,1)}
       124:{1,2,4,5,6}:{(96,1),(97,1),(100,1),(132,1),(139,1),(145,1),(146,1),(149,1),(164,1),(167,1)}
       125:{1,2,4,6,7}:{(98,1),(99,1),(100,1),(102,1),(145,1),(147,1)}
       126:{3,6}:{(100,1),(101,1)}
       127:{3,4,7}:{(101,1),(104,1),(148,1)}
       128:{1,2,4,6}:{(103,1),(104,1),(105,1),(106,1),(148,1),(149,1),(164,1),(167,1)}
       129:{1,4,5}:{(105,1),(107,1),(137,1)}
       130:{2,4,5}:{(106,1),(107,1),(144,1)}
       131:{1,3,5,7}:{(108,1),(109,1),(122,1),(150,1),(160,1)}
       132:{1,2,5,6}:{(108,1),(110,1),(150,1),(151,1),(154,1)}
       133:{1,2,4,6,7}:{(109,1),(110,1),(150,1),(152,1),(171,1)}
       134:{2,3,6}:{(110,1),(111,1),(126,1)}
       135:{2,3,4,7}:{(111,1),(113,1),(127,1),(153,1),(171,1)}
       136:{1,2,4,6}:{(112,1),(113,1),(114,1),(153,1),(154,1)}
       137:{1,3,5}:{(114,1),(129,1),(154,1),(162,1)}
       138:{2,3,5,7}:{(115,1),(116,1),(123,1),(155,1),(160,1)}
       139:{1,2,5,6}:{(115,1),(117,1),(155,1),(156,1),(159,1)}
       140:{1,2,4,6,7}:{(116,1),(117,1),(155,1),(157,1),(173,1)}
       141:{1,3,6}:{(117,1),(118,1),(126,1)}
       142:{1,3,4,7}:{(118,1),(120,1),(127,1),(158,1),(173,1)}
       143:{1,2,4,6}:{(119,1),(120,1),(121,1),(158,1),(159,1)}
       144:{2,3,5}:{(121,1),(130,1),(159,1),(162,1)}
       145:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(125,1),(150,1),(155,1),(160,1),(171,1),(173,1)}
       146:{3,5,6}:{(124,1),(126,1),(160,1),(161,1),(162,1)}
       147:{3,6,7}:{(125,1),(126,1),(160,1)}
       148:{3,4,6}:{(126,1),(127,1),(128,1),(162,1)}
       149:{1,2,4,5}:{(128,1),(129,1),(130,1),(154,1),(159,1),(162,1),(172,1),(174,1)}
       150:{1,2,5,7}:{(131,1),(132,1),(133,1),(163,1)}
       151:{2,3,5,6}:{(132,1),(134,1),(146,1),(163,1),(164,1),(165,1)}
       152:{2,3,6,7}:{(133,1),(134,1),(147,1),(163,1)}
       153:{2,3,4,6}:{(134,1),(135,1),(136,1),(148,1),(164,1),(165,1)}
       154:{1,2,5}:{(136,1),(137,1),(165,1)}
       155:{1,2,5,7}:{(138,1),(139,1),(140,1),(166,1)}
       156:{1,3,5,6}:{(139,1),(141,1),(146,1),(166,1),(167,1),(168,1)}
       157:{1,3,6,7}:{(140,1),(141,1),(147,1),(166,1)}
       158:{1,3,4,6}:{(141,1),(142,1),(143,1),(148,1),(167,1),(168,1)}
       159:{1,2,5}:{(143,1),(144,1),(168,1)}
       160:{3,5,7}:{(145,1),(146,1),(147,1),(169,1)}
       161:{3,4,6}:{(146,1),(164,1),(167,1),(169,1),(170,1)}
       162:{3,5}:{(148,1),(149,1)}
       163:{2,3,5,7}:{(150,1),(151,1),(152,1),(160,1),(171,1)}
       164:{2,4,6}:{(151,1),(161,1),(171,1),(172,1)}
       165:{2,3,5}:{(153,1),(154,1),(162,1),(172,1)}
       166:{1,3,5,7}:{(155,1),(156,1),(157,1),(160,1),(173,1)}
       167:{1,4,6}:{(156,1),(161,1),(173,1),(174,1)}
       168:{1,3,5}:{(158,1),(159,1),(162,1),(174,1)}
       169:{3,4,7}:{(160,1),(161,1),(171,1),(173,1)}
       170:{3,4,5}:{(161,1),(162,1),(172,1),(174,1)}
       171:{2,4,7}:{(163,1),(164,1),(169,1)}
       172:{2,4,5}:{(164,1),(165,1),(170,1)}
       173:{1,4,7}:{(166,1),(167,1),(169,1)}
       174:{1,4,5}:{(167,1),(168,1),(170,1)}

1709 :   0:{1,2,3,6,7}:{(2,1),(3,1),(35,1),(71,1),(72,1),(73,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(11,1),(15,1),(35,1),(43,1),(44,1),(45,1),(46,1),(73,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(84,1),(85,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(22,1),(55,1),(56,1),(61,1),(62,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(58,1),(59,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(13,1),(32,1),(35,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(11,1),(94,1),(95,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(13,1),(75,1),(76,1)}
         8:{1,2,4,5}:{(4,1),(15,1),(40,1),(41,1),(45,1)}
         9:{3,4,6}:{(4,1),(13,1),(15,1),(35,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,5,6}:{(6,1),(18,1),(21,1),(82,1),(83,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(21,1),(22,1),(50,1),(51,1),(55,1)}
        13:{3,4,7}:{(7,1),(9,1),(22,1)}
        14:{1,2,4,5,6}:{(8,1),(21,1),(26,1),(27,1),(47,1),(58,1),(59,1),(63,1),(82,1),(83,1)}
        15:{3,5}:{(8,1),(9,1)}
        16:{1,3,4,6}:{(9,1),(23,1),(28,1),(30,1),(53,1),(58,1),(92,1),(93,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(24,1),(29,1),(30,1),(54,1),(59,1),(92,1),(93,1),(105,1)}
        18:{3,5,6}:{(10,1),(11,1),(32,1),(35,1)}
        19:{4,5,7}:{(10,1),(32,1)}
        20:{1,2,5,6,7}:{(11,1),(31,1),(34,1),(94,1),(95,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(32,1),(35,1),(68,1),(69,1),(73,1)}
        22:{3,5,7}:{(12,1),(13,1),(15,1),(35,1)}
        23:{1,3,4,7}:{(13,1),(16,1),(36,1),(38,1),(75,1),(99,1),(101,1)}
        24:{2,3,4,7}:{(13,1),(17,1),(37,1),(38,1),(76,1),(99,1),(101,1)}
        25:{3,4,5}:{(15,1),(39,1),(40,1),(41,1),(78,1)}
        26:{1,2,4,5,7}:{(14,1),(34,1),(42,1),(65,1),(75,1),(76,1),(79,1),(94,1),(95,1)}
        27:{3,5,6}:{(14,1),(15,1),(35,1),(39,1),(42,1)}
        28:{1,3,5}:{(15,1),(16,1),(40,1),(45,1),(78,1),(109,1)}
        29:{2,3,5}:{(15,1),(17,1),(41,1),(45,1),(78,1),(109,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(38,1),(45,1),(46,1),(73,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(20,1),(48,1),(52,1),(81,1)}
        32:{4,6}:{(18,1),(19,1)}
        33:{3,4,5,7}:{(19,1),(22,1),(25,1),(49,1),(50,1),(51,1),(57,1),(81,1),(87,1),(110,1),(111,1)}
        34:{1,2,4,6,7}:{(20,1),(21,1),(26,1),(48,1),(52,1),(84,1),(85,1),(88,1)}
        35:{3,6}:{(21,1),(22,1)}
        36:{1,3,5,7}:{(22,1),(23,1),(28,1),(50,1),(53,1),(55,1),(87,1)}
        37:{2,3,5,7}:{(22,1),(24,1),(29,1),(51,1),(54,1),(55,1),(87,1)}
        38:{1,2,4,7}:{(23,1),(24,1),(30,1),(55,1),(56,1)}
        39:{3,4,6}:{(25,1),(27,1),(57,1),(58,1),(59,1),(92,1)}
        40:{1,4,5}:{(25,1),(28,1),(58,1),(111,1)}
        41:{2,4,5}:{(25,1),(29,1),(59,1),(111,1)}
        42:{3,5,7}:{(26,1),(27,1),(52,1),(57,1)}
        43:{1,3,5,6}:{(27,1),(28,1),(53,1),(58,1),(61,1),(63,1),(82,1),(92,1),(103,1)}
        44:{2,3,5,6}:{(27,1),(29,1),(54,1),(59,1),(62,1),(63,1),(83,1),(92,1),(103,1)}
        45:{1,2,5}:{(28,1),(29,1),(30,1)}
        46:{1,2,3,6}:{(30,1),(56,1),(64,1),(92,1)}
        47:{4,5,6}:{(32,1),(65,1),(66,1),(108,1)}
        48:{4,6,7}:{(31,1),(32,1),(65,1)}
        49:{3,4,6}:{(32,1),(33,1),(35,1),(66,1),(68,1),(69,1),(98,1),(108,1)}
        50:{1,4,5,7}:{(33,1),(36,1),(40,1),(68,1),(75,1),(94,1)}
        51:{2,4,5,7}:{(33,1),(37,1),(41,1),(69,1),(76,1),(95,1)}
        52:{3,6,7}:{(34,1),(35,1),(42,1)}
        53:{1,3,6}:{(35,1),(36,1),(68,1),(73,1),(98,1)}
        54:{2,3,6}:{(35,1),(37,1),(69,1),(73,1),(98,1)}
        55:{1,2,5,7}:{(36,1),(37,1),(38,1),(45,1),(73,1)}
        56:{1,2,3,7}:{(38,1),(46,1),(101,1)}
        57:{3,4,7}:{(39,1),(42,1),(75,1),(76,1),(101,1)}
        58:{1,4,6}:{(39,1),(40,1),(43,1),(75,1),(108,1)}
        59:{2,4,6}:{(39,1),(41,1),(44,1),(76,1),(108,1)}
        60:{1,2,4,5}:{(40,1),(41,1),(45,1),(77,1),(78,1),(80,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(71,1),(75,1),(79,1),(94,1),(101,1),(107,1)}
        62:{2,3,5,7}:{(42,1),(44,1),(72,1),(76,1),(79,1),(95,1),(101,1),(107,1)}
        63:{1,2,5,6}:{(43,1),(44,1),(45,1),(73,1),(77,1),(79,1)}
        64:{1,2,3,5}:{(45,1),(46,1),(78,1),(80,1)}
        65:{4,5,7}:{(47,1),(48,1),(81,1),(110,1)}
        66:{3,5,6}:{(47,1),(49,1),(81,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(48,1),(49,1),(52,1),(57,1),(81,1),(84,1),(85,1),(104,1),(110,1)}
        68:{1,4,6}:{(49,1),(50,1),(53,1),(82,1)}
        69:{2,4,6}:{(49,1),(51,1),(54,1),(83,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(55,1),(60,1),(86,1),(87,1),(90,1),(91,1),(102,1),(106,1),(110,1),(111,1)}
        71:{1,3,6,7}:{(52,1),(53,1),(61,1),(84,1),(88,1),(104,1)}
        72:{2,3,6,7}:{(52,1),(54,1),(62,1),(85,1),(88,1),(104,1)}
        73:{1,2,6}:{(53,1),(54,1),(55,1)}
        74:{1,2,3,5,7}:{(55,1),(56,1),(64,1),(87,1),(89,1),(90,1),(106,1)}
        75:{1,4,7}:{(57,1),(58,1),(61,1),(110,1)}
        76:{2,4,7}:{(57,1),(59,1),(62,1),(110,1)}
        77:{1,2,4,6}:{(58,1),(59,1),(60,1),(63,1),(91,1),(92,1)}
        78:{3,5}:{(60,1),(92,1),(93,1)}
        79:{1,2,5,7}:{(61,1),(62,1),(63,1),(88,1),(91,1)}
        80:{1,2,4}:{(64,1),(93,1)}
        81:{3,5,7}:{(65,1),(66,1),(67,1),(94,1),(95,1)}
        82:{1,5,6}:{(66,1),(68,1),(94,1)}
        83:{2,5,6}:{(66,1),(69,1),(95,1)}
        84:{1,4,6,7}:{(67,1),(68,1),(71,1),(75,1),(94,1)}
        85:{2,4,6,7}:{(67,1),(69,1),(72,1),(76,1),(95,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(70,1),(73,1),(96,1),(98,1),(108,1)}
        87:{3,5,7}:{(70,1),(78,1),(98,1),(99,1),(101,1),(109,1)}
        88:{1,2,6,7}:{(71,1),(72,1),(73,1),(79,1)}
        89:{1,2,3,6}:{(73,1),(74,1),(98,1),(100,1)}
        90:{1,2,4,7}:{(74,1),(80,1),(99,1),(100,1)}
        91:{1,2,4,7}:{(75,1),(76,1),(77,1),(79,1),(101,1)}
        92:{3,6}:{(77,1),(78,1),(101,1)}
        93:{3,4}:{(78,1),(80,1)}
        94:{1,5,7}:{(81,1),(82,1),(84,1)}
        95:{2,5,7}:{(81,1),(83,1),(85,1)}
        96:{1,2,5,6}:{(82,1),(83,1),(86,1),(102,1),(103,1),(106,1)}
        97:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(102,1),(104,1),(110,1)}
        98:{3,6}:{(86,1),(87,1)}
        99:{3,4,7}:{(87,1),(90,1),(93,1),(105,1),(110,1)}
       100:{1,2,4,6}:{(89,1),(90,1),(105,1),(106,1)}
       101:{3,7}:{(91,1),(92,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(97,1),(107,1)}
       103:{3,5,6}:{(96,1),(98,1),(107,1),(108,1),(109,1)}
       104:{3,6,7}:{(97,1),(98,1),(101,1),(107,1)}
       105:{3,4,6}:{(98,1),(99,1),(100,1),(108,1),(109,1)}
       106:{1,2,5}:{(100,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(103,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1710 :   0:{1,2,3,6,7}:{(3,1),(4,1),(47,1),(48,1),(57,1),(88,1)}
         1:{1,2,3,5,6}:{(4,1),(5,1),(19,1),(20,1),(21,1),(24,1),(57,1),(61,1),(62,1),(88,1)}
         2:{1,2,4,5,6}:{(8,1),(9,1),(12,1),(35,1),(36,1),(37,1),(38,1),(63,1),(91,1),(92,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(10,1),(11,1),(38,1),(65,1),(66,1)}
         4:{1,2,3,5,7}:{(0,1),(1,1),(10,1),(11,1),(32,1),(33,1),(39,1),(76,1),(77,1)}
         5:{1,2,4,6}:{(1,1),(11,1),(12,1),(13,1),(35,1),(36,1)}
         6:{1,2,5,6,7}:{(14,1),(15,1),(21,1),(80,1),(81,1)}
         7:{3,4,6,7}:{(3,1),(16,1),(23,1),(49,1),(57,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(17,1),(45,1),(51,1),(52,1),(53,1),(80,1),(81,1)}
         9:{3,5,6}:{(2,1),(17,1),(18,1),(24,1),(57,1)}
        10:{1,2,5,7}:{(3,1),(16,1),(21,1),(80,1),(81,1)}
        11:{1,2,4,7}:{(4,1),(5,1),(23,1),(51,1),(52,1)}
        12:{1,2,4,5}:{(5,1),(24,1),(54,1),(55,1),(61,1)}
        13:{3,4,6}:{(5,1),(23,1),(24,1),(57,1)}
        14:{3,5,6,7}:{(6,1),(27,1),(28,1),(29,1),(64,1)}
        15:{1,2,4,6,7}:{(6,1),(8,1),(27,1),(28,1),(38,1),(65,1),(66,1),(67,1)}
        16:{3,5,7}:{(7,1),(10,1),(29,1),(30,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(31,1)}
        18:{3,4,6}:{(9,1),(31,1),(34,1),(35,1),(36,1),(73,1)}
        19:{1,3,5,6}:{(9,1),(32,1),(35,1),(37,1),(42,1),(73,1),(74,1),(91,1),(105,1)}
        20:{2,3,5,6}:{(9,1),(33,1),(36,1),(37,1),(43,1),(73,1),(75,1),(92,1),(105,1)}
        21:{1,2,5,6}:{(10,1),(29,1),(38,1),(91,1),(92,1)}
        22:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(30,1),(38,1),(39,1),(69,1),(70,1),(76,1)}
        23:{3,4,7}:{(11,1),(13,1),(39,1)}
        24:{3,5}:{(12,1),(13,1)}
        25:{1,3,4,6}:{(13,1),(35,1),(40,1),(42,1),(44,1),(73,1),(74,1),(97,1),(107,1)}
        26:{2,3,4,6}:{(13,1),(36,1),(41,1),(43,1),(44,1),(73,1),(75,1),(97,1),(107,1)}
        27:{4,6,7}:{(14,1),(45,1),(49,1)}
        28:{3,6,7}:{(15,1),(17,1),(57,1)}
        29:{3,5,6}:{(16,1),(21,1),(49,1),(57,1)}
        30:{4,5,7}:{(16,1),(49,1)}
        31:{3,4,7}:{(17,1),(18,1),(51,1),(52,1),(86,1)}
        32:{1,3,5,7}:{(17,1),(19,1),(47,1),(51,1),(53,1),(80,1),(86,1),(101,1)}
        33:{2,3,5,7}:{(17,1),(20,1),(48,1),(52,1),(53,1),(81,1),(86,1),(101,1)}
        34:{3,4,5}:{(18,1),(24,1),(54,1),(55,1),(87,1)}
        35:{1,4,6}:{(18,1),(19,1),(51,1),(54,1),(109,1)}
        36:{2,4,6}:{(18,1),(20,1),(52,1),(55,1),(109,1)}
        37:{1,2,5,6}:{(19,1),(20,1),(53,1),(56,1),(61,1),(88,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(49,1),(57,1),(83,1),(84,1),(88,1)}
        39:{3,5,7}:{(22,1),(23,1),(24,1),(57,1)}
        40:{1,3,4,7}:{(23,1),(25,1),(51,1),(58,1),(60,1),(86,1),(103,1)}
        41:{2,3,4,7}:{(23,1),(26,1),(52,1),(59,1),(60,1),(86,1),(103,1)}
        42:{1,3,5}:{(24,1),(25,1),(54,1),(61,1),(87,1),(110,1)}
        43:{2,3,5}:{(24,1),(26,1),(55,1),(61,1),(87,1),(110,1)}
        44:{1,2,4,6}:{(25,1),(26,1),(60,1),(61,1),(62,1),(88,1),(90,1)}
        45:{4,5,7}:{(27,1),(63,1),(64,1),(106,1)}
        46:{3,4,6,7}:{(27,1),(28,1),(31,1),(64,1),(65,1),(66,1),(68,1),(94,1),(106,1)}
        47:{1,3,6,7}:{(28,1),(32,1),(65,1),(67,1),(74,1),(94,1)}
        48:{2,3,6,7}:{(28,1),(33,1),(66,1),(67,1),(75,1),(94,1)}
        49:{4,6}:{(29,1),(30,1)}
        50:{3,4,5,7}:{(30,1),(31,1),(34,1),(39,1),(64,1),(68,1),(69,1),(70,1),(96,1),(106,1),(111,1)}
        51:{1,4,7}:{(31,1),(32,1),(35,1),(106,1)}
        52:{2,4,7}:{(31,1),(33,1),(36,1),(106,1)}
        53:{1,2,5,7}:{(32,1),(33,1),(37,1),(67,1),(71,1)}
        54:{1,4,5}:{(34,1),(35,1),(42,1),(111,1)}
        55:{2,4,5}:{(34,1),(36,1),(43,1),(111,1)}
        56:{1,2,4,6}:{(35,1),(36,1),(37,1),(71,1),(72,1),(73,1)}
        57:{3,6}:{(38,1),(39,1)}
        58:{1,3,5,7}:{(39,1),(40,1),(42,1),(69,1),(74,1),(76,1),(96,1)}
        59:{2,3,5,7}:{(39,1),(41,1),(43,1),(70,1),(75,1),(76,1),(96,1)}
        60:{1,2,4,7}:{(40,1),(41,1),(44,1),(76,1),(77,1)}
        61:{1,2,5}:{(42,1),(43,1),(44,1)}
        62:{1,2,3,6}:{(44,1),(73,1),(77,1),(78,1)}
        63:{4,5,6}:{(45,1),(49,1),(79,1),(109,1)}
        64:{3,5,7}:{(45,1),(46,1),(79,1),(80,1),(81,1)}
        65:{1,4,6,7}:{(46,1),(47,1),(51,1),(80,1),(83,1)}
        66:{2,4,6,7}:{(46,1),(48,1),(52,1),(81,1),(84,1)}
        67:{1,2,6,7}:{(47,1),(48,1),(53,1),(88,1)}
        68:{3,4,6}:{(49,1),(50,1),(57,1),(79,1),(83,1),(84,1),(102,1),(109,1)}
        69:{1,4,5,7}:{(50,1),(51,1),(54,1),(58,1),(80,1),(83,1)}
        70:{2,4,5,7}:{(50,1),(52,1),(55,1),(59,1),(81,1),(84,1)}
        71:{1,2,4,7}:{(51,1),(52,1),(53,1),(56,1),(86,1)}
        72:{1,2,4,5}:{(54,1),(55,1),(56,1),(61,1),(87,1),(90,1)}
        73:{3,6}:{(56,1),(86,1),(87,1)}
        74:{1,3,6}:{(57,1),(58,1),(83,1),(88,1),(102,1)}
        75:{2,3,6}:{(57,1),(59,1),(84,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(58,1),(59,1),(60,1),(61,1),(88,1)}
        77:{1,2,3,7}:{(60,1),(62,1),(86,1)}
        78:{1,2,3,5}:{(61,1),(62,1),(87,1),(90,1)}
        79:{3,5,6}:{(63,1),(64,1),(68,1),(91,1),(92,1)}
        80:{1,5,7}:{(64,1),(65,1),(91,1)}
        81:{2,5,7}:{(64,1),(66,1),(92,1)}
        82:{1,2,4,6,7}:{(65,1),(66,1),(67,1),(71,1),(93,1),(94,1),(95,1),(106,1)}
        83:{1,4,6}:{(68,1),(69,1),(74,1),(91,1)}
        84:{2,4,6}:{(68,1),(70,1),(75,1),(92,1)}
        85:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(72,1),(76,1),(93,1),(95,1),(96,1),(99,1),(106,1),(108,1),(111,1)}
        86:{3,7}:{(71,1),(73,1)}
        87:{3,5}:{(72,1),(73,1),(97,1)}
        88:{1,2,6}:{(74,1),(75,1),(76,1)}
        89:{1,2,3,5,7}:{(76,1),(77,1),(78,1),(96,1),(98,1),(99,1),(108,1)}
        90:{1,2,4}:{(78,1),(97,1)}
        91:{1,5,6}:{(79,1),(80,1),(83,1)}
        92:{2,5,6}:{(79,1),(81,1),(84,1)}
        93:{1,2,5,7}:{(80,1),(81,1),(82,1),(100,1),(101,1)}
        94:{3,6,7}:{(82,1),(86,1),(101,1),(102,1)}
        95:{1,2,4,6}:{(83,1),(84,1),(85,1),(88,1),(100,1),(102,1),(109,1)}
        96:{3,5,7}:{(85,1),(86,1),(87,1),(102,1),(103,1),(110,1)}
        97:{3,4}:{(87,1),(90,1)}
        98:{1,2,3,6}:{(88,1),(89,1),(102,1),(104,1)}
        99:{1,2,4,7}:{(89,1),(90,1),(103,1),(104,1)}
       100:{1,2,5,6}:{(91,1),(92,1),(93,1),(95,1),(105,1),(108,1)}
       101:{3,5,7}:{(93,1),(94,1),(105,1),(106,1)}
       102:{3,6}:{(95,1),(96,1)}
       103:{3,4,7}:{(96,1),(97,1),(99,1),(106,1),(107,1)}
       104:{1,2,4,6}:{(98,1),(99,1),(107,1),(108,1)}
       105:{3,5,6}:{(100,1),(101,1),(102,1),(109,1),(110,1)}
       106:{4,7}:{(101,1),(109,1)}
       107:{3,4,6}:{(102,1),(103,1),(104,1),(109,1),(110,1)}
       108:{1,2,5}:{(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5}:{(107,1),(108,1),(111,1)}
       111:{4,5}:{(109,1),(110,1)}

1711 :   0:{1,3,4,5,7}:{(2,1),(3,1),(21,1),(36,1),(87,1),(129,1),(134,1),(143,1),(180,1),(182,1)}
         1:{2,3,4,5,7}:{(4,1),(5,1),(24,1),(31,1),(83,1),(130,1),(133,1),(145,1),(180,1),(184,1)}
         2:{1,3,4,6}:{(0,1),(11,1),(12,1),(113,1),(162,1),(199,1),(200,1)}
         3:{1,2,4,5,7}:{(0,1),(12,1),(13,1),(45,1),(52,1),(100,1),(111,1),(114,1)}
         4:{2,3,4,6}:{(1,1),(15,1),(16,1),(116,1),(159,1),(199,1),(201,1)}
         5:{1,2,4,5,7}:{(1,1),(16,1),(17,1),(49,1),(52,1),(104,1),(111,1),(117,1)}
         6:{1,4,5,6,7}:{(18,1),(61,1),(176,1)}
         7:{2,4,5,6,7}:{(19,1),(65,1),(173,1)}
         8:{1,3,4,6,7}:{(2,1),(21,1),(22,1),(61,1),(119,1),(129,1),(171,1)}
         9:{2,3,4,6,7}:{(4,1),(24,1),(25,1),(65,1),(122,1),(133,1),(174,1)}
        10:{3,4,5,6}:{(20,1),(27,1),(28,1),(81,1),(145,1),(185,1)}
        11:{1,3,5,6}:{(2,1),(21,1),(27,1),(29,1),(81,1),(87,1),(204,1)}
        12:{1,2,4,6}:{(2,1),(3,1),(29,1),(30,1),(82,1)}
        13:{2,3,5,7}:{(3,1),(30,1),(31,1),(83,1),(180,1)}
        14:{3,4,5,6}:{(23,1),(32,1),(33,1),(85,1),(143,1),(183,1)}
        15:{2,3,5,6}:{(4,1),(24,1),(33,1),(34,1),(83,1),(85,1),(205,1)}
        16:{1,2,4,6}:{(4,1),(5,1),(34,1),(35,1),(86,1)}
        17:{1,3,5,7}:{(5,1),(35,1),(36,1),(87,1),(180,1)}
        18:{3,5,6,7}:{(6,1),(37,1),(39,1),(195,1)}
        19:{3,5,6,7}:{(7,1),(40,1),(41,1),(193,1)}
        20:{3,4,5,7}:{(10,1),(37,1),(43,1),(44,1),(99,1)}
        21:{1,3,5,7}:{(8,1),(11,1),(43,1),(45,1),(99,1),(192,1)}
        22:{1,2,4,6,7}:{(8,1),(12,1),(45,1),(46,1),(100,1)}
        23:{3,4,5,7}:{(14,1),(40,1),(47,1),(48,1),(103,1)}
        24:{2,3,5,7}:{(9,1),(15,1),(48,1),(49,1),(103,1),(194,1)}
        25:{1,2,4,6,7}:{(9,1),(16,1),(49,1),(50,1),(104,1)}
        26:{1,2,3,5,7}:{(13,1),(17,1),(51,1),(52,1),(111,1)}
        27:{1,4,5,6}:{(10,1),(11,1),(43,1),(117,1),(162,1)}
        28:{2,4,5,6}:{(10,1),(44,1),(53,1),(170,1),(201,1)}
        29:{1,2,5,6}:{(11,1),(12,1),(45,1),(55,1),(111,1)}
        30:{2,3,6}:{(12,1),(13,1),(199,1)}
        31:{2,3,4,7}:{(13,1),(52,1),(56,1),(100,1),(154,1)}
        32:{1,4,5,6}:{(14,1),(47,1),(57,1),(169,1),(200,1)}
        33:{2,4,5,6}:{(14,1),(15,1),(48,1),(114,1),(159,1)}
        34:{1,2,5,6}:{(15,1),(16,1),(49,1),(59,1),(111,1)}
        35:{1,3,6}:{(16,1),(17,1),(199,1)}
        36:{1,3,4,7}:{(17,1),(52,1),(60,1),(104,1),(154,1)}
        37:{3,4,6,7}:{(18,1),(20,1),(61,1),(62,1),(119,1),(185,1)}
        38:{1,3,5,6,7}:{(18,1),(21,1),(61,1),(63,1),(119,1),(135,1)}
        39:{2,5,6,7}:{(18,1),(62,1),(205,1)}
        40:{3,4,6,7}:{(19,1),(23,1),(64,1),(65,1),(122,1),(183,1)}
        41:{1,5,6,7}:{(19,1),(64,1),(204,1)}
        42:{2,3,5,6,7}:{(19,1),(24,1),(65,1),(66,1),(122,1),(131,1)}
        43:{1,4,5,7}:{(20,1),(21,1),(27,1),(61,1)}
        44:{2,4,5,7}:{(20,1),(28,1),(62,1),(68,1)}
        45:{1,2,5,7}:{(21,1),(22,1),(29,1),(70,1)}
        46:{2,3,6,7}:{(22,1),(30,1),(70,1),(119,1)}
        47:{1,4,5,7}:{(23,1),(32,1),(64,1),(72,1)}
        48:{2,4,5,7}:{(23,1),(24,1),(33,1),(65,1)}
        49:{1,2,5,7}:{(24,1),(25,1),(34,1),(74,1)}
        50:{1,3,6,7}:{(25,1),(35,1),(74,1),(122,1)}
        51:{1,2,3,6}:{(26,1),(30,1),(35,1),(79,1)}
        52:{1,2,4,7}:{(26,1),(31,1),(36,1),(79,1)}
        53:{2,3,5,6}:{(28,1),(68,1),(77,1),(80,1),(81,1),(190,1),(207,1)}
        54:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(69,1),(80,1),(81,1),(82,1),(141,1),(142,1),(173,1),(181,1),(204,1)}
        55:{2,3,5,6}:{(29,1),(30,1),(70,1),(81,1),(82,1),(83,1)}
        56:{2,3,4,6}:{(30,1),(31,1),(79,1),(82,1),(83,1),(140,1)}
        57:{1,3,5,6}:{(32,1),(72,1),(76,1),(84,1),(85,1),(191,1),(208,1)}
        58:{1,2,4,5,6}:{(32,1),(33,1),(34,1),(73,1),(84,1),(85,1),(86,1),(141,1),(144,1),(176,1),(181,1),(205,1)}
        59:{1,3,5,6}:{(34,1),(35,1),(74,1),(85,1),(86,1),(87,1)}
        60:{1,3,4,6}:{(35,1),(36,1),(79,1),(86,1),(87,1),(140,1)}
        61:{1,4,6,7}:{(37,1),(38,1),(43,1),(162,1)}
        62:{2,4,6,7}:{(37,1),(39,1),(44,1),(88,1),(201,1)}
        63:{1,2,5,6,7}:{(38,1),(39,1),(45,1),(89,1),(90,1),(156,1),(192,1)}
        64:{1,4,6,7}:{(40,1),(41,1),(47,1),(91,1),(200,1)}
        65:{2,4,6,7}:{(40,1),(42,1),(48,1),(159,1)}
        66:{1,2,5,6,7}:{(41,1),(42,1),(49,1),(92,1),(93,1),(156,1),(194,1)}
        67:{1,2,3,6,7}:{(46,1),(50,1),(51,1),(96,1),(97,1),(146,1),(149,1),(199,1),(209,1)}
        68:{2,3,5,7}:{(44,1),(53,1),(88,1),(95,1),(98,1),(99,1)}
        69:{1,2,4,5,7}:{(43,1),(44,1),(45,1),(54,1),(89,1),(98,1),(99,1),(100,1),(148,1),(157,1),(192,1)}
        70:{2,3,5,7}:{(45,1),(46,1),(55,1),(99,1),(100,1)}
        71:{2,3,4,6,7}:{(46,1),(56,1),(97,1),(100,1),(101,1),(147,1),(154,1),(159,1),(199,1)}
        72:{1,3,5,7}:{(47,1),(57,1),(91,1),(94,1),(102,1),(103,1)}
        73:{1,2,4,5,7}:{(47,1),(48,1),(49,1),(58,1),(92,1),(102,1),(103,1),(104,1),(151,1),(160,1),(194,1)}
        74:{1,3,5,7}:{(49,1),(50,1),(59,1),(103,1),(104,1)}
        75:{1,3,4,6,7}:{(50,1),(60,1),(97,1),(104,1),(105,1),(150,1),(154,1),(162,1),(199,1)}
        76:{1,3,4,6}:{(57,1),(94,1),(106,1),(108,1),(116,1)}
        77:{2,3,4,6}:{(53,1),(95,1),(107,1),(109,1),(113,1)}
        78:{1,2,3,5,6}:{(51,1),(55,1),(59,1),(96,1),(110,1),(111,1),(112,1),(115,1),(156,1),(165,1),(168,1),(199,1),(203,1),(209,1)}
        79:{1,2,4,6}:{(51,1),(52,1),(56,1),(60,1),(111,1)}
        80:{1,2,5,6}:{(53,1),(98,1),(109,1),(112,1),(203,1),(209,1)}
        81:{3,5,6}:{(54,1),(99,1),(113,1),(168,1),(199,1)}
        82:{2,4,6}:{(55,1),(100,1),(113,1),(114,1)}
        83:{2,3,5}:{(56,1),(111,1),(114,1),(168,1)}
        84:{1,2,5,6}:{(57,1),(102,1),(108,1),(115,1),(203,1),(209,1)}
        85:{3,5,6}:{(58,1),(103,1),(116,1),(168,1),(199,1)}
        86:{1,4,6}:{(59,1),(104,1),(116,1),(117,1)}
        87:{1,3,5}:{(60,1),(111,1),(117,1),(168,1)}
        88:{2,3,6,7}:{(62,1),(68,1),(118,1),(119,1),(207,1)}
        89:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(69,1),(118,1),(119,1),(120,1),(171,1),(181,1)}
        90:{2,3,5,6,7}:{(63,1),(70,1),(119,1),(120,1),(131,1),(172,1)}
        91:{1,3,6,7}:{(64,1),(72,1),(121,1),(122,1),(208,1)}
        92:{1,2,4,6,7}:{(64,1),(65,1),(66,1),(73,1),(121,1),(122,1),(123,1),(174,1),(181,1)}
        93:{1,3,5,6,7}:{(66,1),(74,1),(122,1),(123,1),(135,1),(175,1)}
        94:{1,3,4,7}:{(72,1),(76,1),(124,1),(133,1)}
        95:{2,3,4,7}:{(68,1),(77,1),(125,1),(129,1)}
        96:{1,2,3,5,7}:{(67,1),(70,1),(74,1),(78,1),(126,1),(127,1),(128,1),(132,1),(177,1),(180,1),(206,1)}
        97:{1,2,4,6,7}:{(67,1),(71,1),(75,1),(79,1),(126,1),(127,1),(171,1),(174,1),(181,1)}
        98:{1,2,5,7}:{(68,1),(80,1),(118,1),(125,1),(128,1)}
        99:{3,5,7}:{(69,1),(81,1),(119,1),(129,1)}
       100:{2,4,7}:{(70,1),(82,1),(129,1)}
       101:{2,3,5,7}:{(71,1),(83,1),(127,1),(130,1),(131,1),(172,1),(180,1)}
       102:{1,2,5,7}:{(72,1),(84,1),(121,1),(124,1),(132,1)}
       103:{3,5,7}:{(73,1),(85,1),(122,1),(133,1)}
       104:{1,4,7}:{(74,1),(86,1),(133,1)}
       105:{1,3,5,7}:{(75,1),(87,1),(127,1),(134,1),(135,1),(175,1),(180,1)}
       106:{1,3,4,5}:{(76,1),(136,1),(145,1),(188,1),(191,1)}
       107:{2,3,4,5}:{(77,1),(137,1),(143,1),(187,1),(190,1)}
       108:{1,2,4,6}:{(76,1),(84,1),(124,1),(136,1),(138,1),(144,1)}
       109:{1,2,4,6}:{(77,1),(80,1),(125,1),(137,1),(139,1),(142,1)}
       110:{1,2,4,6}:{(78,1),(82,1),(86,1),(126,1),(140,1),(141,1),(142,1),(144,1)}
       111:{1,2,5}:{(79,1),(83,1),(87,1)}
       112:{1,3,5,6}:{(80,1),(81,1),(128,1),(139,1),(142,1),(191,1),(204,1),(208,1)}
       113:{3,4,6}:{(81,1),(82,1),(129,1),(142,1),(143,1)}
       114:{2,4,5}:{(82,1),(83,1),(143,1)}
       115:{2,3,5,6}:{(84,1),(85,1),(132,1),(138,1),(144,1),(190,1),(205,1),(207,1)}
       116:{3,4,6}:{(85,1),(86,1),(133,1),(144,1),(145,1)}
       117:{1,4,5}:{(86,1),(87,1),(145,1)}
       118:{1,2,6,7}:{(88,1),(98,1),(146,1),(209,1)}
       119:{3,6,7}:{(89,1),(99,1),(199,1)}
       120:{2,4,6,7}:{(90,1),(100,1),(147,1),(148,1),(159,1)}
       121:{1,2,6,7}:{(91,1),(102,1),(149,1),(209,1)}
       122:{3,6,7}:{(92,1),(103,1),(199,1)}
       123:{1,4,6,7}:{(93,1),(104,1),(150,1),(151,1),(162,1)}
       124:{1,2,4,7}:{(94,1),(102,1),(108,1),(152,1),(160,1)}
       125:{1,2,4,7}:{(95,1),(98,1),(109,1),(153,1),(157,1)}
       126:{1,2,4,7}:{(96,1),(100,1),(104,1),(110,1),(154,1),(157,1),(160,1)}
       127:{1,2,5,7}:{(97,1),(101,1),(105,1),(111,1),(156,1),(192,1),(194,1)}
       128:{1,3,5,7}:{(98,1),(99,1),(112,1),(146,1),(153,1),(157,1),(192,1)}
       129:{3,4,7}:{(99,1),(100,1),(113,1),(157,1)}
       130:{2,4,5,7}:{(100,1),(101,1),(114,1),(158,1),(159,1)}
       131:{2,3,5,6}:{(101,1),(156,1),(159,1),(193,1),(199,1)}
       132:{2,3,5,7}:{(102,1),(103,1),(115,1),(149,1),(152,1),(160,1),(194,1)}
       133:{3,4,7}:{(103,1),(104,1),(116,1),(160,1)}
       134:{1,4,5,7}:{(104,1),(105,1),(117,1),(161,1),(162,1)}
       135:{1,3,5,6}:{(105,1),(156,1),(162,1),(195,1),(199,1)}
       136:{1,2,4,5}:{(106,1),(108,1),(163,1),(170,1),(202,1),(203,1)}
       137:{1,2,4,5}:{(107,1),(109,1),(164,1),(169,1),(202,1),(203,1)}
       138:{2,3,6}:{(108,1),(152,1),(163,1)}
       139:{1,3,6}:{(109,1),(153,1),(164,1)}
       140:{3,4,6}:{(110,1),(154,1),(168,1),(199,1)}
       141:{1,2,4,5}:{(110,1),(111,1),(114,1),(117,1),(168,1),(169,1),(170,1),(203,1)}
       142:{1,4,6}:{(112,1),(113,1),(157,1),(169,1)}
       143:{3,4,5}:{(113,1),(114,1),(168,1),(169,1)}
       144:{2,4,6}:{(115,1),(116,1),(160,1),(170,1)}
       145:{3,4,5}:{(116,1),(117,1),(168,1),(170,1)}
       146:{1,3,6,7}:{(118,1),(119,1),(128,1),(171,1),(208,1)}
       147:{3,4,6,7}:{(119,1),(120,1),(129,1),(171,1),(172,1),(183,1)}
       148:{2,4,5,7}:{(120,1),(172,1),(173,1)}
       149:{2,3,6,7}:{(121,1),(122,1),(132,1),(174,1),(207,1)}
       150:{3,4,6,7}:{(122,1),(123,1),(133,1),(174,1),(175,1),(185,1)}
       151:{1,4,5,7}:{(123,1),(175,1),(176,1)}
       152:{2,3,7}:{(124,1),(138,1)}
       153:{1,3,7}:{(125,1),(139,1)}
       154:{3,4,7}:{(126,1),(140,1),(180,1)}
       155:{1,2,4,5,7}:{(126,1),(127,1),(130,1),(134,1),(141,1),(180,1),(181,1),(182,1),(184,1),(206,1)}
       156:{1,2,5,6}:{(127,1),(131,1),(135,1),(181,1),(204,1),(205,1)}
       157:{1,4,7}:{(128,1),(129,1),(142,1)}
       158:{3,4,5,7}:{(129,1),(130,1),(143,1),(172,1),(180,1),(182,1),(183,1)}
       159:{2,4,6}:{(130,1),(131,1),(183,1)}
       160:{2,4,7}:{(132,1),(133,1),(144,1)}
       161:{3,4,5,7}:{(133,1),(134,1),(145,1),(175,1),(180,1),(184,1),(185,1)}
       162:{1,4,6}:{(134,1),(135,1),(185,1)}
       163:{2,3,5}:{(136,1),(138,1),(187,1)}
       164:{1,3,5}:{(137,1),(139,1),(188,1)}
       165:{1,2,3,6}:{(138,1),(139,1),(177,1),(186,1),(189,1)}
       166:{2,3,4,6}:{(138,1),(140,1),(144,1),(178,1),(187,1),(189,1),(190,1),(207,1)}
       167:{1,3,4,6}:{(139,1),(140,1),(142,1),(179,1),(188,1),(189,1),(191,1),(208,1)}
       168:{3,5}:{(140,1),(141,1)}
       169:{1,4,5}:{(142,1),(143,1),(191,1)}
       170:{2,4,5}:{(144,1),(145,1),(190,1)}
       171:{1,4,6,7}:{(146,1),(147,1),(157,1),(192,1),(200,1)}
       172:{3,5,7}:{(147,1),(148,1),(192,1),(193,1)}
       173:{2,4,5,6}:{(148,1),(159,1),(193,1)}
       174:{2,4,6,7}:{(149,1),(150,1),(160,1),(194,1),(201,1)}
       175:{3,5,7}:{(150,1),(151,1),(194,1),(195,1)}
       176:{1,4,5,6}:{(151,1),(162,1),(195,1)}
       177:{1,2,3,7}:{(152,1),(153,1),(165,1),(196,1)}
       178:{2,3,4,7}:{(152,1),(154,1),(160,1),(166,1),(196,1),(197,1)}
       179:{1,3,4,7}:{(153,1),(154,1),(157,1),(167,1),(196,1),(198,1)}
       180:{3,5,7}:{(154,1),(155,1),(168,1),(199,1)}
       181:{1,2,4,6}:{(155,1),(156,1),(159,1),(162,1),(199,1),(200,1),(201,1),(209,1)}
       182:{1,4,5,7}:{(157,1),(158,1),(169,1),(192,1),(198,1),(200,1)}
       183:{3,4,6}:{(158,1),(159,1),(193,1),(199,1),(200,1)}
       184:{2,4,5,7}:{(160,1),(161,1),(170,1),(194,1),(197,1),(201,1)}
       185:{3,4,6}:{(161,1),(162,1),(195,1),(199,1),(201,1)}
       186:{1,2,3,5}:{(163,1),(164,1),(165,1),(202,1),(203,1)}
       187:{2,3,4}:{(163,1),(202,1)}
       188:{1,3,4}:{(164,1),(202,1)}
       189:{1,2,4,6}:{(165,1),(166,1),(167,1),(196,1),(202,1),(203,1),(209,1)}
       190:{2,3,5}:{(166,1),(168,1),(170,1),(203,1)}
       191:{1,3,5}:{(167,1),(168,1),(169,1),(203,1)}
       192:{1,5,7}:{(171,1),(172,1),(204,1)}
       193:{3,5,6}:{(172,1),(173,1),(183,1),(204,1)}
       194:{2,5,7}:{(174,1),(175,1),(205,1)}
       195:{3,5,6}:{(175,1),(176,1),(185,1),(205,1)}
       196:{1,2,4,7}:{(177,1),(178,1),(179,1),(189,1),(206,1)}
       197:{2,3,5,7}:{(178,1),(180,1),(184,1),(190,1),(206,1),(207,1)}
       198:{1,3,5,7}:{(179,1),(180,1),(182,1),(191,1),(206,1),(208,1)}
       199:{3,6}:{(180,1),(181,1)}
       200:{1,4,6}:{(182,1),(183,1),(204,1),(208,1)}
       201:{2,4,6}:{(184,1),(185,1),(205,1),(207,1)}
       202:{1,2,4}:{(186,1),(187,1),(188,1)}
       203:{1,2,5}:{(189,1),(190,1),(191,1)}
       204:{1,5,6}:{(192,1),(193,1),(200,1)}
       205:{2,5,6}:{(194,1),(195,1),(201,1)}
       206:{1,2,5,7}:{(196,1),(197,1),(198,1),(203,1),(209,1)}
       207:{2,3,6}:{(197,1),(199,1),(201,1),(209,1)}
       208:{1,3,6}:{(198,1),(199,1),(200,1),(209,1)}
       209:{1,2,6}:{(206,1),(207,1),(208,1)}

1712 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(34,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(43,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(33,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(8,1),(20,1),(38,1),(39,1),(43,1),(45,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(20,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(29,1),(30,1),(33,1)}
        8:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(14,1),(47,1),(48,1)}
        9:{3,4,6}:{(5,1),(6,1),(13,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(31,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(32,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(40,1),(41,1),(43,1)}
       13:{3,5,6}:{(7,1),(9,1),(20,1)}
       14:{3,4,6,7}:{(8,1),(9,1),(20,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(21,1),(25,1),(57,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(22,1),(25,1),(57,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(43,1),(58,1),(59,1)}
       18:{1,2,4,5,6,7}:{(12,1),(27,1),(47,1),(48,1),(49,1)}
       19:{3,4,5,6}:{(13,1),(28,1),(29,1),(30,1),(51,1)}
       20:{3,5,7}:{(12,1),(13,1),(14,1)}
       21:{1,3,5,6}:{(13,1),(15,1),(29,1),(31,1),(33,1),(51,1)}
       22:{2,3,5,6}:{(13,1),(16,1),(30,1),(32,1),(33,1),(51,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(31,1),(34,1),(47,1),(60,1),(61,1)}
       24:{2,3,4,6,7}:{(14,1),(16,1),(32,1),(34,1),(48,1),(60,1),(61,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(33,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,5,6,7}:{(18,1),(20,1),(37,1)}
       28:{3,4,5,7}:{(19,1),(20,1),(37,1),(40,1),(41,1),(56,1)}
       29:{1,4,5,6}:{(19,1),(21,1),(40,1)}
       30:{2,4,5,6}:{(19,1),(22,1),(41,1)}
       31:{1,3,5,7}:{(20,1),(21,1),(23,1),(40,1),(43,1),(56,1)}
       32:{2,3,5,7}:{(20,1),(22,1),(24,1),(41,1),(43,1),(56,1)}
       33:{1,2,5,6}:{(21,1),(22,1),(25,1),(43,1)}
       34:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(43,1),(45,1),(58,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(58,1)}
       37:{3,4,6,7}:{(27,1),(28,1),(47,1),(48,1),(60,1)}
       38:{1,3,5,6,7}:{(27,1),(31,1),(47,1),(49,1),(60,1)}
       39:{2,3,5,6,7}:{(27,1),(32,1),(48,1),(49,1),(60,1)}
       40:{1,4,5,7}:{(28,1),(29,1),(31,1),(47,1)}
       41:{2,4,5,7}:{(28,1),(30,1),(32,1),(48,1)}
       42:{1,2,4,5,6}:{(29,1),(30,1),(33,1),(50,1),(51,1),(53,1)}
       43:{1,2,5,7}:{(31,1),(32,1),(33,1),(34,1)}
       44:{1,2,3,5,6}:{(33,1),(35,1),(51,1),(52,1),(53,1),(54,1)}
       45:{1,2,3,6,7}:{(34,1),(35,1),(52,1),(60,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(40,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(41,1)}
       49:{1,2,5,6,7}:{(38,1),(39,1),(43,1),(55,1)}
       50:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(43,1),(55,1),(56,1),(58,1)}
       51:{3,5,6}:{(42,1),(56,1),(57,1)}
       52:{1,2,3,5,7}:{(43,1),(44,1),(45,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(44,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(50,1),(60,1)}
       56:{3,5,7}:{(50,1),(51,1),(60,1),(61,1)}
       57:{3,4,6}:{(51,1),(53,1),(61,1),(62,1)}
       58:{1,2,4,7}:{(52,1),(53,1),(61,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(57,1),(59,1)}

1713 :   0:{2,3,4,5,7}:{(2,1),(3,1),(16,1),(23,1),(68,1),(112,1),(115,1),(120,1),(167,1),(174,1)}
         1:{1,3,4,5,7}:{(4,1),(5,1),(17,1),(22,1),(60,1),(111,1),(121,1),(124,1),(167,1),(179,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(31,1),(34,1),(82,1),(85,1),(88,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(89,1),(150,1),(187,1),(193,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(31,1),(41,1),(82,1),(93,1),(96,1)}
         5:{1,3,4,6}:{(1,1),(12,1),(13,1),(97,1),(142,1),(187,1),(196,1)}
         6:{2,3,4,6,7}:{(3,1),(15,1),(16,1),(48,1),(101,1),(112,1),(160,1)}
         7:{1,3,5,7}:{(2,1),(17,1),(18,1),(60,1),(167,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(18,1),(19,1),(61,1)}
         9:{2,3,5,6}:{(3,1),(16,1),(19,1),(20,1),(62,1),(68,1),(199,1)}
        10:{1,3,4,6,7}:{(5,1),(21,1),(22,1),(50,1),(104,1),(121,1),(164,1)}
        11:{2,3,5,7}:{(4,1),(23,1),(24,1),(68,1),(167,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(24,1),(25,1),(69,1)}
        13:{1,3,5,6}:{(5,1),(22,1),(25,1),(26,1),(60,1),(70,1),(200,1)}
        14:{1,2,3,5,7}:{(7,1),(11,1),(31,1),(32,1),(82,1)}
        15:{1,2,4,6,7}:{(6,1),(8,1),(33,1),(34,1),(85,1)}
        16:{2,3,5,7}:{(6,1),(9,1),(34,1),(35,1),(86,1),(184,1)}
        17:{1,3,4,7}:{(7,1),(31,1),(36,1),(85,1),(138,1)}
        18:{1,3,6}:{(7,1),(8,1),(187,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(34,1),(37,1),(82,1)}
        20:{2,4,5,6}:{(9,1),(35,1),(39,1),(96,1),(150,1)}
        21:{1,2,4,6,7}:{(10,1),(12,1),(40,1),(41,1),(93,1)}
        22:{1,3,5,7}:{(10,1),(13,1),(41,1),(42,1),(94,1),(186,1)}
        23:{2,3,4,7}:{(11,1),(31,1),(43,1),(93,1),(138,1)}
        24:{2,3,6}:{(11,1),(12,1),(187,1)}
        25:{1,2,5,6}:{(12,1),(13,1),(41,1),(44,1),(82,1)}
        26:{1,4,5,6}:{(13,1),(42,1),(46,1),(88,1),(142,1)}
        27:{2,3,5,6,7}:{(16,1),(47,1),(48,1),(52,1),(101,1),(119,1)}
        28:{1,3,5,6,7}:{(22,1),(49,1),(50,1),(51,1),(104,1),(110,1)}
        29:{1,4,5,6,7}:{(50,1),(51,1),(158,1)}
        30:{2,4,5,6,7}:{(48,1),(52,1),(162,1)}
        31:{1,2,4,7}:{(14,1),(17,1),(23,1),(54,1)}
        32:{1,2,3,6}:{(14,1),(18,1),(24,1),(54,1)}
        33:{1,3,6,7}:{(15,1),(18,1),(57,1),(101,1)}
        34:{1,2,5,7}:{(15,1),(16,1),(19,1),(57,1)}
        35:{2,4,5,7}:{(16,1),(20,1),(48,1),(59,1)}
        36:{1,3,4,6}:{(17,1),(18,1),(54,1),(60,1),(61,1),(109,1)}
        37:{1,3,5,6}:{(18,1),(19,1),(57,1),(60,1),(61,1),(62,1)}
        38:{1,2,4,5,6}:{(19,1),(20,1),(58,1),(61,1),(62,1),(63,1),(108,1),(117,1),(118,1),(158,1),(166,1),(199,1)}
        39:{3,4,5,6}:{(20,1),(59,1),(62,1),(63,1),(124,1),(178,1)}
        40:{2,3,6,7}:{(21,1),(24,1),(65,1),(104,1)}
        41:{1,2,5,7}:{(21,1),(22,1),(25,1),(65,1)}
        42:{1,4,5,7}:{(22,1),(26,1),(50,1),(67,1)}
        43:{2,3,4,6}:{(23,1),(24,1),(54,1),(68,1),(69,1),(109,1)}
        44:{2,3,5,6}:{(24,1),(25,1),(65,1),(68,1),(69,1),(70,1)}
        45:{1,2,4,5,6}:{(25,1),(26,1),(66,1),(69,1),(70,1),(71,1),(108,1),(125,1),(127,1),(162,1),(166,1),(200,1)}
        46:{3,4,5,6}:{(26,1),(67,1),(70,1),(71,1),(115,1),(173,1)}
        47:{1,2,5,6,7}:{(27,1),(34,1),(72,1),(73,1),(79,1),(136,1),(184,1)}
        48:{2,4,6,7}:{(27,1),(35,1),(74,1),(150,1)}
        49:{1,2,5,6,7}:{(28,1),(41,1),(75,1),(76,1),(78,1),(136,1),(186,1)}
        50:{1,4,6,7}:{(28,1),(42,1),(77,1),(142,1)}
        51:{3,5,6,7}:{(29,1),(77,1),(78,1),(183,1)}
        52:{3,5,6,7}:{(30,1),(74,1),(79,1),(185,1)}
        53:{1,2,3,6,7}:{(32,1),(33,1),(40,1),(80,1),(81,1),(131,1),(134,1),(187,1),(208,1)}
        54:{1,2,4,6}:{(31,1),(32,1),(36,1),(43,1),(82,1)}
        55:{1,2,3,5,6}:{(32,1),(37,1),(44,1),(81,1),(82,1),(83,1),(91,1),(98,1),(136,1),(139,1),(187,1),(191,1),(192,1),(208,1)}
        56:{1,3,4,6,7}:{(33,1),(36,1),(80,1),(84,1),(85,1),(129,1),(138,1),(142,1),(187,1)}
        57:{1,3,5,7}:{(33,1),(34,1),(37,1),(85,1),(86,1)}
        58:{1,2,4,5,7}:{(34,1),(35,1),(38,1),(73,1),(85,1),(86,1),(87,1),(128,1),(145,1),(146,1),(184,1)}
        59:{3,4,5,7}:{(35,1),(39,1),(74,1),(86,1),(87,1)}
        60:{1,3,5}:{(36,1),(82,1),(88,1),(139,1)}
        61:{1,4,6}:{(37,1),(85,1),(88,1),(89,1)}
        62:{3,5,6}:{(38,1),(86,1),(89,1),(139,1),(187,1)}
        63:{1,4,5,6}:{(39,1),(87,1),(90,1),(155,1),(196,1)}
        64:{2,3,4,6,7}:{(40,1),(43,1),(80,1),(92,1),(93,1),(133,1),(138,1),(150,1),(187,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(44,1),(93,1),(94,1)}
        66:{1,2,4,5,7}:{(41,1),(42,1),(45,1),(76,1),(93,1),(94,1),(95,1),(132,1),(152,1),(154,1),(186,1)}
        67:{3,4,5,7}:{(42,1),(46,1),(77,1),(94,1),(95,1)}
        68:{2,3,5}:{(43,1),(82,1),(96,1),(139,1)}
        69:{2,4,6}:{(44,1),(93,1),(96,1),(97,1)}
        70:{3,5,6}:{(45,1),(94,1),(97,1),(139,1),(187,1)}
        71:{2,4,5,6}:{(46,1),(95,1),(99,1),(148,1),(193,1)}
        72:{1,3,5,6,7}:{(47,1),(57,1),(100,1),(101,1),(110,1),(159,1)}
        73:{1,2,4,6,7}:{(47,1),(48,1),(58,1),(100,1),(101,1),(102,1),(160,1),(161,1),(166,1)}
        74:{3,4,6,7}:{(48,1),(52,1),(59,1),(101,1),(102,1),(178,1)}
        75:{2,3,5,6,7}:{(49,1),(65,1),(103,1),(104,1),(119,1),(163,1)}
        76:{1,2,4,6,7}:{(49,1),(50,1),(66,1),(103,1),(104,1),(105,1),(164,1),(165,1),(166,1)}
        77:{3,4,6,7}:{(50,1),(51,1),(67,1),(104,1),(105,1),(173,1)}
        78:{2,5,6,7}:{(51,1),(105,1),(199,1)}
        79:{1,5,6,7}:{(52,1),(102,1),(200,1)}
        80:{1,2,4,6,7}:{(53,1),(54,1),(56,1),(64,1),(106,1),(107,1),(160,1),(164,1),(166,1)}
        81:{1,2,3,5,7}:{(53,1),(55,1),(57,1),(65,1),(106,1),(107,1),(114,1),(122,1),(167,1),(203,1),(204,1)}
        82:{1,2,5}:{(54,1),(60,1),(68,1)}
        83:{1,2,4,6}:{(55,1),(61,1),(69,1),(107,1),(108,1),(109,1),(117,1),(125,1)}
        84:{1,3,5,7}:{(56,1),(60,1),(106,1),(110,1),(111,1),(159,1),(167,1)}
        85:{1,4,7}:{(57,1),(61,1),(112,1)}
        86:{3,5,7}:{(58,1),(62,1),(101,1),(112,1)}
        87:{1,4,5,7}:{(59,1),(63,1),(102,1),(113,1)}
        88:{1,4,5}:{(60,1),(61,1),(115,1)}
        89:{3,4,6}:{(61,1),(62,1),(112,1),(115,1),(117,1)}
        90:{1,3,5,6}:{(62,1),(63,1),(113,1),(116,1),(118,1),(170,1),(201,1)}
        91:{2,3,5,6}:{(62,1),(114,1),(117,1),(118,1),(171,1),(177,1),(199,1),(202,1)}
        92:{2,3,5,7}:{(64,1),(68,1),(106,1),(119,1),(120,1),(163,1),(167,1)}
        93:{2,4,7}:{(65,1),(69,1),(121,1)}
        94:{3,5,7}:{(66,1),(70,1),(104,1),(121,1)}
        95:{2,4,5,7}:{(67,1),(71,1),(105,1),(123,1)}
        96:{2,4,5}:{(68,1),(69,1),(124,1)}
        97:{3,4,6}:{(69,1),(70,1),(121,1),(124,1),(125,1)}
        98:{1,3,5,6}:{(70,1),(122,1),(125,1),(127,1),(170,1),(182,1),(200,1),(201,1)}
        99:{2,3,5,6}:{(70,1),(71,1),(123,1),(126,1),(127,1),(171,1),(202,1)}
       100:{1,4,6,7}:{(72,1),(85,1),(128,1),(129,1),(142,1)}
       101:{3,6,7}:{(73,1),(86,1),(187,1)}
       102:{1,4,6,7}:{(74,1),(79,1),(87,1),(130,1),(196,1)}
       103:{2,4,6,7}:{(75,1),(93,1),(132,1),(133,1),(150,1)}
       104:{3,6,7}:{(76,1),(94,1),(187,1)}
       105:{2,4,6,7}:{(77,1),(78,1),(95,1),(135,1),(193,1)}
       106:{1,2,5,7}:{(80,1),(82,1),(84,1),(92,1),(136,1),(184,1),(186,1)}
       107:{1,2,4,7}:{(81,1),(83,1),(85,1),(93,1),(138,1),(145,1),(152,1)}
       108:{1,2,4,5}:{(82,1),(83,1),(88,1),(96,1),(139,1),(148,1),(155,1),(191,1)}
       109:{3,4,6}:{(83,1),(138,1),(139,1),(187,1)}
       110:{1,3,5,6}:{(84,1),(136,1),(142,1),(183,1),(187,1)}
       111:{1,4,5,7}:{(84,1),(85,1),(88,1),(142,1),(143,1)}
       112:{3,4,7}:{(85,1),(86,1),(89,1),(145,1)}
       113:{1,3,5,7}:{(86,1),(87,1),(90,1),(130,1),(144,1),(146,1)}
       114:{2,3,5,7}:{(86,1),(91,1),(131,1),(145,1),(146,1),(184,1),(194,1)}
       115:{3,4,5}:{(88,1),(89,1),(139,1),(148,1)}
       116:{1,3,4,6}:{(89,1),(90,1),(144,1),(147,1),(149,1)}
       117:{2,4,6}:{(89,1),(91,1),(145,1),(148,1)}
       118:{1,2,5,6}:{(90,1),(91,1),(146,1),(149,1),(191,1),(208,1)}
       119:{2,3,5,6}:{(92,1),(136,1),(150,1),(185,1),(187,1)}
       120:{2,4,5,7}:{(92,1),(93,1),(96,1),(150,1),(151,1)}
       121:{3,4,7}:{(93,1),(94,1),(97,1),(152,1)}
       122:{1,3,5,7}:{(94,1),(98,1),(134,1),(152,1),(154,1),(186,1),(197,1)}
       123:{2,3,5,7}:{(94,1),(95,1),(99,1),(135,1),(153,1),(154,1)}
       124:{3,4,5}:{(96,1),(97,1),(139,1),(155,1)}
       125:{1,4,6}:{(97,1),(98,1),(152,1),(155,1)}
       126:{2,3,4,6}:{(97,1),(99,1),(153,1),(156,1),(157,1)}
       127:{1,2,5,6}:{(98,1),(99,1),(154,1),(157,1),(191,1),(208,1)}
       128:{1,4,5,7}:{(100,1),(158,1),(159,1)}
       129:{3,4,6,7}:{(100,1),(101,1),(112,1),(159,1),(160,1),(173,1)}
       130:{1,3,6,7}:{(101,1),(102,1),(113,1),(161,1),(201,1)}
       131:{2,3,6,7}:{(101,1),(114,1),(160,1),(161,1),(202,1)}
       132:{2,4,5,7}:{(103,1),(162,1),(163,1)}
       133:{3,4,6,7}:{(103,1),(104,1),(121,1),(163,1),(164,1),(178,1)}
       134:{1,3,6,7}:{(104,1),(122,1),(164,1),(165,1),(201,1)}
       135:{2,3,6,7}:{(104,1),(105,1),(123,1),(165,1),(202,1)}
       136:{1,2,5,6}:{(106,1),(110,1),(119,1),(166,1),(199,1),(200,1)}
       137:{1,2,4,5,7}:{(106,1),(107,1),(108,1),(111,1),(120,1),(166,1),(167,1),(174,1),(179,1),(203,1)}
       138:{3,4,7}:{(107,1),(109,1),(167,1)}
       139:{3,5}:{(108,1),(109,1)}
       140:{1,3,4,6}:{(109,1),(125,1),(168,1),(170,1),(172,1),(182,1),(201,1),(207,1)}
       141:{2,3,4,6}:{(109,1),(117,1),(169,1),(171,1),(172,1),(177,1),(202,1),(206,1)}
       142:{1,4,6}:{(110,1),(111,1),(173,1)}
       143:{3,4,5,7}:{(111,1),(112,1),(115,1),(159,1),(167,1),(173,1),(174,1)}
       144:{1,3,4,7}:{(112,1),(113,1),(116,1),(175,1)}
       145:{2,4,7}:{(112,1),(114,1),(117,1)}
       146:{1,2,5,7}:{(113,1),(114,1),(118,1),(161,1),(175,1)}
       147:{1,3,4,5}:{(115,1),(116,1),(170,1),(176,1),(207,1)}
       148:{2,4,5}:{(115,1),(117,1),(171,1)}
       149:{1,2,4,6}:{(116,1),(117,1),(118,1),(175,1),(176,1),(177,1)}
       150:{2,4,6}:{(119,1),(120,1),(178,1)}
       151:{3,4,5,7}:{(120,1),(121,1),(124,1),(163,1),(167,1),(178,1),(179,1)}
       152:{1,4,7}:{(121,1),(122,1),(125,1)}
       153:{2,3,4,7}:{(121,1),(123,1),(126,1),(180,1)}
       154:{1,2,5,7}:{(122,1),(123,1),(127,1),(165,1),(180,1)}
       155:{1,4,5}:{(124,1),(125,1),(170,1)}
       156:{2,3,4,5}:{(124,1),(126,1),(171,1),(181,1),(206,1)}
       157:{1,2,4,6}:{(125,1),(126,1),(127,1),(180,1),(181,1),(182,1)}
       158:{1,4,5,6}:{(128,1),(142,1),(183,1)}
       159:{3,5,7}:{(128,1),(129,1),(183,1),(184,1)}
       160:{2,4,6,7}:{(129,1),(131,1),(145,1),(184,1),(193,1)}
       161:{1,2,6,7}:{(130,1),(131,1),(146,1),(208,1)}
       162:{2,4,5,6}:{(132,1),(150,1),(185,1)}
       163:{3,5,7}:{(132,1),(133,1),(185,1),(186,1)}
       164:{1,4,6,7}:{(133,1),(134,1),(152,1),(186,1),(196,1)}
       165:{1,2,6,7}:{(134,1),(135,1),(154,1),(208,1)}
       166:{1,2,4,6}:{(136,1),(137,1),(142,1),(150,1),(187,1),(193,1),(196,1),(208,1)}
       167:{3,5,7}:{(137,1),(138,1),(139,1),(187,1)}
       168:{1,3,4,7}:{(138,1),(140,1),(152,1),(188,1),(190,1),(197,1)}
       169:{2,3,4,7}:{(138,1),(141,1),(145,1),(189,1),(190,1),(194,1)}
       170:{1,3,5}:{(139,1),(140,1),(155,1),(191,1)}
       171:{2,3,5}:{(139,1),(141,1),(148,1),(191,1)}
       172:{1,2,4,6}:{(140,1),(141,1),(190,1),(191,1),(192,1),(208,1),(209,1)}
       173:{3,4,6}:{(142,1),(143,1),(183,1),(187,1),(193,1)}
       174:{2,4,5,7}:{(143,1),(145,1),(148,1),(184,1),(189,1),(193,1)}
       175:{1,2,4,7}:{(144,1),(145,1),(146,1),(149,1),(194,1)}
       176:{1,2,4,5}:{(147,1),(148,1),(149,1),(191,1),(195,1),(209,1)}
       177:{2,3,6}:{(149,1),(194,1),(195,1)}
       178:{3,4,6}:{(150,1),(151,1),(185,1),(187,1),(196,1)}
       179:{1,4,5,7}:{(151,1),(152,1),(155,1),(186,1),(188,1),(196,1)}
       180:{1,2,4,7}:{(152,1),(153,1),(154,1),(157,1),(197,1)}
       181:{1,2,4,5}:{(155,1),(156,1),(157,1),(191,1),(198,1),(209,1)}
       182:{1,3,6}:{(157,1),(197,1),(198,1)}
       183:{3,5,6}:{(158,1),(159,1),(173,1),(199,1)}
       184:{2,5,7}:{(159,1),(160,1),(199,1)}
       185:{3,5,6}:{(162,1),(163,1),(178,1),(200,1)}
       186:{1,5,7}:{(163,1),(164,1),(200,1)}
       187:{3,6}:{(166,1),(167,1)}
       188:{1,3,5,7}:{(167,1),(168,1),(170,1),(179,1),(201,1),(203,1)}
       189:{2,3,5,7}:{(167,1),(169,1),(171,1),(174,1),(202,1),(203,1)}
       190:{1,2,4,7}:{(168,1),(169,1),(172,1),(203,1),(204,1)}
       191:{1,2,5}:{(170,1),(171,1),(172,1)}
       192:{1,2,3,6}:{(172,1),(177,1),(182,1),(204,1),(205,1)}
       193:{2,4,6}:{(173,1),(174,1),(199,1),(202,1)}
       194:{2,3,7}:{(175,1),(177,1)}
       195:{2,3,5}:{(176,1),(177,1),(206,1)}
       196:{1,4,6}:{(178,1),(179,1),(200,1),(201,1)}
       197:{1,3,7}:{(180,1),(182,1)}
       198:{1,3,5}:{(181,1),(182,1),(207,1)}
       199:{2,5,6}:{(183,1),(184,1),(193,1)}
       200:{1,5,6}:{(185,1),(186,1),(196,1)}
       201:{1,3,6}:{(187,1),(188,1),(196,1),(208,1)}
       202:{2,3,6}:{(187,1),(189,1),(193,1),(208,1)}
       203:{1,2,5,7}:{(188,1),(189,1),(190,1),(191,1),(208,1)}
       204:{1,2,3,7}:{(190,1),(192,1),(194,1),(197,1)}
       205:{1,2,3,5}:{(191,1),(192,1),(195,1),(198,1),(209,1)}
       206:{2,3,4}:{(195,1),(209,1)}
       207:{1,3,4}:{(198,1),(209,1)}
       208:{1,2,6}:{(201,1),(202,1),(203,1)}
       209:{1,2,4}:{(205,1),(206,1),(207,1)}

1714 :   0:{1,2,3,4,6}:{(1,1),(2,1),(6,1),(9,1),(10,1),(25,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(20,1),(39,1)}
         2:{1,2,3,5}:{(0,1),(3,1)}
         3:{1,2,4,5}:{(2,1),(7,1),(9,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(10,1)}
         5:{1,2,3,5,6}:{(2,1),(9,1),(10,1),(11,1),(25,1),(28,1),(32,1),(57,1)}
         6:{1,2,3,4}:{(13,1)}
         7:{3,4,5}:{(3,1),(17,1)}
         8:{1,2,4,5,7}:{(3,1),(4,1),(16,1),(19,1),(20,1),(48,1)}
         9:{1,2,4,6}:{(3,1),(5,1),(17,1),(20,1)}
        10:{1,2,3,6}:{(4,1),(19,1)}
        11:{1,2,3,5,7}:{(5,1),(20,1),(21,1),(39,1),(44,1),(48,1),(74,1)}
        12:{1,2,3,4,6}:{(6,1),(22,1),(23,1),(25,1),(51,1),(52,1)}
        13:{1,2,3,5}:{(6,1),(24,1),(25,1)}
        14:{1,3,4,5}:{(7,1),(24,1),(26,1),(49,1)}
        15:{2,3,4,5}:{(7,1),(24,1),(27,1),(49,1)}
        16:{3,4,5,7}:{(7,1),(8,1),(29,1),(30,1),(63,1)}
        17:{3,4,6}:{(7,1),(9,1),(28,1),(30,1)}
        18:{1,2,4,5,6}:{(9,1),(28,1),(31,1),(32,1),(54,1),(55,1),(57,1),(62,1)}
        19:{1,2,4,6}:{(8,1),(10,1),(29,1),(32,1)}
        20:{1,2,4,7}:{(9,1),(11,1),(30,1)}
        21:{1,2,3,6,7}:{(10,1),(11,1),(33,1),(61,1),(88,1)}
        22:{1,2,3,4,7}:{(12,1),(35,1),(39,1),(69,1)}
        23:{1,2,3,5}:{(12,1),(34,1)}
        24:{1,2,4,5}:{(13,1),(14,1),(15,1),(38,1)}
        25:{1,2,3,6}:{(13,1),(38,1),(39,1)}
        26:{1,3,4,6}:{(14,1),(17,1),(38,1),(40,1),(41,1),(66,1)}
        27:{2,3,4,6}:{(15,1),(17,1),(38,1),(42,1),(43,1),(66,1)}
        28:{3,5,6}:{(17,1),(18,1),(44,1)}
        29:{3,4,6}:{(16,1),(19,1),(45,1)}
        30:{3,4,7}:{(17,1),(20,1),(44,1)}
        31:{1,2,4,5,7}:{(18,1),(20,1),(44,1),(47,1),(48,1),(71,1),(72,1),(74,1),(78,1)}
        32:{1,2,5,6}:{(19,1),(45,1),(48,1)}
        33:{1,2,4,6,7}:{(19,1),(20,1),(21,1),(46,1),(48,1)}
        34:{1,2,4,5}:{(23,1),(49,1),(51,1)}
        35:{1,2,3,5,7}:{(22,1),(23,1),(50,1),(52,1)}
        36:{1,2,3,5,6}:{(23,1),(25,1),(51,1),(52,1),(53,1),(57,1),(79,1),(83,1)}
        37:{3,4,5,6}:{(28,1),(54,1),(55,1),(56,1),(62,1),(79,1),(99,1)}
        38:{1,2,4,6}:{(24,1),(25,1),(26,1),(27,1),(57,1),(58,1)}
        39:{1,2,3,7}:{(25,1),(58,1)}
        40:{1,3,5,6}:{(26,1),(28,1),(54,1),(57,1),(59,1),(79,1)}
        41:{1,3,4,7}:{(26,1),(30,1),(58,1),(59,1),(81,1)}
        42:{2,3,5,6}:{(27,1),(28,1),(55,1),(57,1),(60,1),(79,1)}
        43:{2,3,4,7}:{(27,1),(30,1),(58,1),(60,1),(81,1)}
        44:{3,5,7}:{(28,1),(30,1),(31,1),(61,1)}
        45:{3,5,6}:{(29,1),(32,1),(62,1),(63,1)}
        46:{3,4,6,7}:{(29,1),(30,1),(33,1),(61,1),(63,1),(89,1)}
        47:{1,2,4,6,7}:{(31,1),(61,1),(64,1),(85,1),(86,1),(88,1),(89,1)}
        48:{1,2,5,7}:{(32,1),(33,1),(63,1)}
        49:{3,4,5}:{(34,1),(66,1)}
        50:{1,2,4,5,7}:{(34,1),(35,1),(65,1),(68,1),(69,1),(94,1)}
        51:{1,2,4,6}:{(34,1),(36,1),(66,1),(69,1)}
        52:{1,2,3,6}:{(35,1),(68,1)}
        53:{1,2,3,5,7}:{(36,1),(39,1),(69,1),(70,1),(74,1),(90,1),(94,1)}
        54:{1,4,5,6}:{(37,1),(40,1),(71,1)}
        55:{2,4,5,6}:{(37,1),(42,1),(72,1)}
        56:{3,4,5,7}:{(37,1),(44,1),(71,1),(72,1),(73,1),(78,1),(90,1),(103,1)}
        57:{1,2,5,6}:{(38,1),(40,1),(42,1),(74,1)}
        58:{1,2,4,7}:{(38,1),(39,1),(41,1),(43,1),(74,1)}
        59:{1,3,5,7}:{(40,1),(41,1),(44,1),(71,1),(74,1),(75,1),(90,1)}
        60:{2,3,5,7}:{(42,1),(43,1),(44,1),(72,1),(74,1),(76,1),(90,1)}
        61:{3,6,7}:{(44,1),(47,1)}
        62:{4,5,6}:{(45,1),(78,1)}
        63:{3,5,7}:{(45,1),(46,1),(48,1),(78,1)}
        64:{1,2,5,6,7}:{(47,1),(48,1),(77,1),(95,1),(96,1)}
        65:{3,4,5,7}:{(49,1),(50,1),(80,1),(81,1),(100,1)}
        66:{3,4,6}:{(49,1),(51,1),(79,1),(81,1)}
        67:{1,2,4,5,6}:{(51,1),(54,1),(55,1),(57,1),(79,1),(82,1),(83,1),(99,1)}
        68:{1,2,4,6}:{(50,1),(52,1),(80,1),(83,1)}
        69:{1,2,4,7}:{(51,1),(53,1),(81,1)}
        70:{1,2,3,6,7}:{(52,1),(53,1),(84,1),(88,1),(98,1)}
        71:{1,4,5,7}:{(54,1),(56,1),(59,1),(85,1)}
        72:{2,4,5,7}:{(55,1),(56,1),(60,1),(86,1)}
        73:{3,4,6,7}:{(56,1),(61,1),(85,1),(86,1),(87,1),(89,1),(98,1),(104,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(60,1),(88,1)}
        75:{1,3,6,7}:{(59,1),(61,1),(85,1),(88,1),(98,1)}
        76:{2,3,6,7}:{(60,1),(61,1),(86,1),(88,1),(98,1)}
        77:{3,5,6,7}:{(61,1),(63,1),(64,1),(89,1)}
        78:{4,5,7}:{(62,1),(63,1),(89,1)}
        79:{3,5,6}:{(66,1),(67,1),(90,1)}
        80:{3,4,6}:{(65,1),(68,1),(91,1)}
        81:{3,4,7}:{(66,1),(69,1),(90,1)}
        82:{1,2,4,5,7}:{(67,1),(69,1),(71,1),(72,1),(74,1),(90,1),(93,1),(94,1),(103,1)}
        83:{1,2,5,6}:{(68,1),(91,1),(94,1)}
        84:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(92,1),(94,1)}
        85:{1,4,6,7}:{(71,1),(73,1),(75,1),(95,1)}
        86:{2,4,6,7}:{(72,1),(73,1),(76,1),(96,1)}
        87:{3,5,6,7}:{(73,1),(95,1),(96,1),(97,1)}
        88:{1,2,6,7}:{(74,1),(75,1),(76,1)}
        89:{4,6,7}:{(77,1),(78,1)}
        90:{3,5,7}:{(79,1),(81,1),(82,1),(98,1)}
        91:{3,5,6}:{(80,1),(83,1),(99,1),(100,1)}
        92:{3,4,6,7}:{(80,1),(81,1),(84,1),(98,1),(100,1),(104,1)}
        93:{1,2,4,6,7}:{(82,1),(85,1),(86,1),(88,1),(98,1),(101,1),(104,1)}
        94:{1,2,5,7}:{(83,1),(84,1),(100,1)}
        95:{1,5,6,7}:{(85,1),(87,1)}
        96:{2,5,6,7}:{(86,1),(87,1)}
        97:{4,5,6,7}:{(87,1),(89,1),(104,1)}
        98:{3,6,7}:{(90,1),(93,1)}
        99:{4,5,6}:{(91,1),(103,1)}
       100:{3,5,7}:{(91,1),(92,1),(94,1),(103,1)}
       101:{1,2,5,6,7}:{(93,1),(94,1),(95,1),(96,1),(102,1)}
       102:{3,5,6,7}:{(98,1),(100,1),(101,1),(104,1)}
       103:{4,5,7}:{(99,1),(100,1),(104,1)}
       104:{4,6,7}:{(102,1),(103,1)}

1715 :   0:{1,2,3,6,7}:{(3,1),(4,1),(40,1),(52,1),(85,1),(86,1),(87,1),(104,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(15,1),(19,1),(41,1),(52,1),(55,1),(86,1),(99,1),(104,1)}
         2:{1,3,4,6,7}:{(4,1),(6,1),(15,1),(22,1),(42,1),(52,1),(57,1),(87,1),(100,1),(104,1)}
         3:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(28,1),(31,1),(58,1),(69,1),(94,1),(95,1)}
         4:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(32,1),(60,1),(73,1),(74,1),(96,1),(103,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(10,1),(11,1),(31,1),(61,1),(66,1)}
         6:{1,3,5,7}:{(2,1),(9,1),(12,1),(13,1),(31,1),(62,1),(68,1)}
         7:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(40,1),(43,1),(52,1),(79,1),(80,1),(81,1),(85,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(75,1),(99,1),(100,1)}
         9:{1,2,5,7}:{(4,1),(5,1),(6,1),(17,1),(79,1),(83,1),(84,1)}
        10:{2,4,5,7}:{(5,1),(18,1),(19,1),(76,1),(99,1)}
        11:{2,3,5,6}:{(5,1),(17,1),(19,1),(45,1),(52,1)}
        12:{1,4,5,7}:{(6,1),(21,1),(22,1),(77,1),(100,1)}
        13:{1,3,5,6}:{(6,1),(17,1),(22,1),(47,1),(52,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(90,1),(91,1)}
        15:{3,4,7}:{(8,1),(24,1),(31,1),(88,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(12,1),(25,1),(31,1),(32,1),(34,1),(37,1),(69,1),(89,1),(103,1)}
        17:{1,2,5,6}:{(9,1),(11,1),(13,1),(32,1),(65,1),(67,1)}
        18:{3,4,5,7}:{(10,1),(31,1),(34,1),(35,1),(59,1),(66,1),(92,1)}
        19:{2,4,6}:{(10,1),(11,1),(35,1)}
        20:{2,3,5,6,7}:{(11,1),(33,1),(36,1),(66,1),(72,1),(94,1)}
        21:{3,4,5,7}:{(12,1),(31,1),(37,1),(38,1),(59,1),(68,1),(92,1)}
        22:{1,4,6}:{(12,1),(13,1),(38,1)}
        23:{1,3,5,6,7}:{(13,1),(33,1),(39,1),(68,1),(72,1),(95,1)}
        24:{3,4,6}:{(14,1),(15,1),(43,1),(52,1)}
        25:{1,2,4,5}:{(14,1),(43,1),(76,1),(77,1),(79,1)}
        26:{2,4,5,6}:{(19,1),(45,1),(46,1)}
        27:{1,4,5,6}:{(22,1),(47,1),(48,1)}
        28:{1,2,3,7}:{(40,1),(49,1),(104,1)}
        29:{2,3,4,7}:{(15,1),(41,1),(49,1),(50,1),(99,1),(104,1)}
        30:{1,3,4,7}:{(15,1),(42,1),(49,1),(51,1),(100,1),(104,1)}
        31:{3,5,7}:{(15,1),(16,1),(43,1),(52,1),(97,1),(104,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(19,1),(22,1),(52,1),(54,1),(56,1),(85,1)}
        33:{1,2,5,6,7}:{(17,1),(20,1),(23,1),(53,1),(83,1),(84,1),(101,1)}
        34:{1,4,5,7}:{(18,1),(51,1),(54,1),(77,1),(83,1),(100,1)}
        35:{3,4,6}:{(18,1),(19,1),(45,1),(52,1),(54,1)}
        36:{2,4,6,7}:{(19,1),(20,1),(46,1),(55,1),(99,1)}
        37:{2,4,5,7}:{(21,1),(50,1),(56,1),(76,1),(84,1),(99,1)}
        38:{3,4,6}:{(21,1),(22,1),(47,1),(52,1),(56,1)}
        39:{1,4,6,7}:{(22,1),(23,1),(48,1),(57,1),(100,1)}
        40:{1,2,3,6}:{(28,1),(58,1),(60,1),(102,1)}
        41:{2,3,4,6}:{(24,1),(29,1),(60,1),(61,1),(70,1),(88,1),(90,1),(102,1)}
        42:{1,3,4,6}:{(24,1),(30,1),(60,1),(62,1),(71,1),(88,1),(91,1),(102,1)}
        43:{3,5}:{(24,1),(25,1)}
        44:{1,2,4,5,6}:{(25,1),(26,1),(27,1),(32,1),(63,1),(64,1),(65,1),(67,1),(90,1),(91,1),(93,1)}
        45:{3,5,6}:{(26,1),(35,1),(65,1),(66,1)}
        46:{2,4,5,7}:{(26,1),(36,1),(66,1)}
        47:{3,5,6}:{(27,1),(38,1),(67,1),(68,1)}
        48:{1,4,5,7}:{(27,1),(39,1),(68,1)}
        49:{1,2,4,7}:{(28,1),(29,1),(30,1),(60,1),(69,1)}
        50:{2,3,5,7}:{(29,1),(31,1),(37,1),(61,1),(69,1),(70,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(34,1),(62,1),(69,1),(71,1)}
        52:{3,6}:{(31,1),(32,1)}
        53:{1,2,4,6,7}:{(32,1),(33,1),(36,1),(39,1),(64,1),(72,1),(73,1),(74,1),(96,1),(103,1)}
        54:{1,4,6}:{(34,1),(35,1),(65,1),(71,1)}
        55:{3,4,6,7}:{(35,1),(36,1),(66,1),(72,1),(73,1),(92,1)}
        56:{2,4,6}:{(37,1),(38,1),(67,1),(70,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(68,1),(72,1),(74,1),(92,1)}
        58:{1,2,3,5}:{(40,1),(75,1),(79,1),(97,1)}
        59:{3,4,5}:{(43,1),(76,1),(77,1),(78,1),(97,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(42,1),(49,1),(75,1),(79,1),(85,1)}
        61:{2,3,5}:{(41,1),(43,1),(76,1),(79,1),(97,1)}
        62:{1,3,5}:{(42,1),(43,1),(77,1),(79,1),(97,1)}
        63:{3,5,6}:{(43,1),(44,1),(52,1),(78,1),(82,1)}
        64:{1,2,4,5,7}:{(44,1),(46,1),(48,1),(53,1),(82,1),(83,1),(84,1),(99,1),(100,1),(101,1)}
        65:{1,5,6}:{(45,1),(54,1),(83,1)}
        66:{3,5,7}:{(45,1),(46,1),(55,1),(83,1)}
        67:{2,5,6}:{(47,1),(56,1),(84,1)}
        68:{3,5,7}:{(47,1),(48,1),(57,1),(84,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(85,1)}
        70:{2,3,6}:{(50,1),(52,1),(56,1),(85,1)}
        71:{1,3,6}:{(51,1),(52,1),(54,1),(85,1)}
        72:{3,6,7}:{(52,1),(53,1),(82,1),(104,1)}
        73:{1,4,6,7}:{(54,1),(55,1),(83,1),(87,1),(100,1)}
        74:{2,4,6,7}:{(56,1),(57,1),(84,1),(86,1),(99,1)}
        75:{1,2,4}:{(58,1),(88,1)}
        76:{2,4,5}:{(59,1),(61,1),(90,1)}
        77:{1,4,5}:{(59,1),(62,1),(91,1)}
        78:{3,4,6}:{(59,1),(63,1),(90,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(60,1),(61,1),(62,1)}
        80:{2,3,5,6}:{(61,1),(63,1),(67,1),(70,1),(90,1),(93,1),(94,1),(102,1)}
        81:{1,3,5,6}:{(62,1),(63,1),(65,1),(71,1),(91,1),(93,1),(95,1),(102,1)}
        82:{3,5,7}:{(63,1),(64,1),(72,1),(92,1)}
        83:{1,5,7}:{(65,1),(66,1),(73,1)}
        84:{2,5,7}:{(67,1),(68,1),(74,1)}
        85:{1,2,6}:{(69,1),(70,1),(71,1)}
        86:{2,3,6,7}:{(70,1),(72,1),(74,1),(94,1),(96,1)}
        87:{1,3,6,7}:{(71,1),(72,1),(73,1),(95,1),(96,1)}
        88:{3,4}:{(75,1),(97,1)}
        89:{1,2,4,5}:{(75,1),(76,1),(77,1),(79,1),(97,1),(98,1)}
        90:{2,4,6}:{(76,1),(78,1),(80,1),(99,1)}
        91:{1,4,6}:{(77,1),(78,1),(81,1),(100,1)}
        92:{3,4,7}:{(78,1),(82,1),(99,1),(100,1),(104,1)}
        93:{1,2,5,6}:{(79,1),(80,1),(81,1),(85,1),(98,1),(101,1)}
        94:{2,3,5,7}:{(80,1),(82,1),(84,1),(86,1),(99,1),(101,1),(104,1)}
        95:{1,3,5,7}:{(81,1),(82,1),(83,1),(87,1),(100,1),(101,1),(104,1)}
        96:{1,2,6,7}:{(85,1),(86,1),(87,1),(101,1)}
        97:{3,5}:{(88,1),(89,1),(102,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{2,4,7}:{(90,1),(92,1),(94,1)}
       100:{1,4,7}:{(91,1),(92,1),(95,1)}
       101:{1,2,5,7}:{(93,1),(94,1),(95,1),(96,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1716 :   0:{1,2,3,4,7}:{(1,1),(2,1),(24,1),(70,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(15,1),(30,1),(57,1)}
         2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1)}
         3:{1,2,4,5,7}:{(2,1),(6,1),(7,1),(8,1),(20,1),(24,1)}
         4:{1,2,3,5}:{(1,1),(8,1)}
         5:{1,2,3,6}:{(2,1),(7,1)}
         6:{3,4,5,7}:{(3,1),(11,1),(14,1),(26,1),(34,1)}
         7:{1,2,4,6}:{(3,1),(5,1),(11,1),(12,1)}
         8:{1,2,4,5}:{(4,1),(14,1),(15,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(16,1),(28,1),(54,1),(57,1)}
        10:{1,2,3,6,7}:{(5,1),(13,1),(16,1),(52,1),(79,1)}
        11:{3,4,6}:{(6,1),(7,1),(17,1)}
        12:{1,2,5,6}:{(7,1),(17,1),(20,1)}
        13:{1,2,4,6,7}:{(7,1),(10,1),(18,1),(20,1),(24,1)}
        14:{3,4,5}:{(8,1),(23,1)}
        15:{1,2,4,6}:{(8,1),(9,1),(23,1),(24,1)}
        16:{1,2,3,5,7}:{(9,1),(10,1),(20,1),(24,1),(42,1),(69,1),(70,1)}
        17:{3,5,6}:{(11,1),(12,1),(25,1),(26,1)}
        18:{3,4,6,7}:{(11,1),(13,1),(26,1),(34,1),(47,1),(52,1)}
        19:{1,2,4,5,6}:{(12,1),(15,1),(25,1),(28,1),(29,1),(48,1),(49,1),(54,1)}
        20:{1,2,5,7}:{(12,1),(13,1),(26,1)}
        21:{2,3,4,5}:{(14,1),(31,1),(32,1),(74,1)}
        22:{1,3,4,5}:{(14,1),(31,1),(33,1),(74,1)}
        23:{3,4,6}:{(14,1),(15,1),(28,1),(34,1)}
        24:{1,2,4,7}:{(15,1),(16,1),(34,1)}
        25:{4,5,6}:{(17,1),(37,1)}
        26:{3,5,7}:{(17,1),(18,1),(20,1),(37,1)}
        27:{1,2,5,6,7}:{(20,1),(35,1),(38,1),(82,1),(83,1)}
        28:{3,5,6}:{(19,1),(23,1),(42,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(24,1),(37,1),(38,1),(42,1),(62,1),(63,1),(69,1)}
        30:{1,2,3,4}:{(43,1)}
        31:{1,2,4,5}:{(21,1),(22,1),(43,1),(44,1)}
        32:{2,3,4,6}:{(21,1),(23,1),(40,1),(44,1),(45,1),(86,1)}
        33:{1,3,4,6}:{(22,1),(23,1),(41,1),(44,1),(46,1),(86,1)}
        34:{3,4,7}:{(23,1),(24,1),(42,1)}
        35:{3,5,6,7}:{(26,1),(27,1),(47,1),(52,1)}
        36:{3,4,5,6}:{(25,1),(28,1),(48,1),(49,1),(50,1),(75,1),(101,1)}
        37:{4,5,7}:{(25,1),(26,1),(47,1)}
        38:{1,2,4,6,7}:{(27,1),(29,1),(47,1),(52,1),(72,1),(73,1),(79,1)}
        39:{1,2,3,4,6}:{(30,1),(51,1),(53,1),(57,1),(78,1),(80,1)}
        40:{2,3,5,6}:{(28,1),(32,1),(48,1),(54,1),(55,1),(75,1)}
        41:{1,3,5,6}:{(28,1),(33,1),(49,1),(54,1),(56,1),(75,1)}
        42:{3,5,7}:{(28,1),(29,1),(34,1),(52,1)}
        43:{1,2,3,5}:{(30,1),(31,1),(57,1)}
        44:{1,2,4,6}:{(31,1),(32,1),(33,1),(54,1),(57,1),(58,1)}
        45:{2,3,4,7}:{(32,1),(34,1),(55,1),(58,1),(94,1)}
        46:{1,3,4,7}:{(33,1),(34,1),(56,1),(58,1),(94,1)}
        47:{4,6,7}:{(35,1),(37,1)}
        48:{2,4,5,6}:{(36,1),(40,1),(62,1)}
        49:{1,4,5,6}:{(36,1),(41,1),(63,1)}
        50:{3,4,5,7}:{(36,1),(37,1),(42,1),(60,1),(62,1),(63,1),(87,1),(104,1)}
        51:{1,2,3,4,7}:{(39,1),(64,1),(70,1),(90,1)}
        52:{3,6,7}:{(38,1),(42,1)}
        53:{1,2,3,5}:{(39,1),(67,1)}
        54:{1,2,5,6}:{(40,1),(41,1),(44,1),(69,1)}
        55:{2,3,5,7}:{(40,1),(42,1),(45,1),(62,1),(65,1),(69,1),(87,1)}
        56:{1,3,5,7}:{(41,1),(42,1),(46,1),(63,1),(66,1),(69,1),(87,1)}
        57:{1,2,3,6}:{(43,1),(44,1),(70,1)}
        58:{1,2,4,7}:{(44,1),(45,1),(46,1),(69,1),(70,1)}
        59:{4,5,6,7}:{(47,1),(71,1),(102,1)}
        60:{3,4,6,7}:{(47,1),(50,1),(52,1),(71,1),(72,1),(73,1),(93,1),(102,1)}
        61:{1,2,4,5,6}:{(48,1),(49,1),(54,1),(75,1),(76,1),(80,1),(95,1),(101,1)}
        62:{2,4,5,7}:{(48,1),(50,1),(55,1),(72,1)}
        63:{1,4,5,7}:{(49,1),(50,1),(56,1),(73,1)}
        64:{1,2,3,5,7}:{(51,1),(53,1),(77,1),(78,1)}
        65:{2,3,6,7}:{(52,1),(55,1),(72,1),(79,1),(93,1)}
        66:{1,3,6,7}:{(52,1),(56,1),(73,1),(79,1),(93,1)}
        67:{1,2,4,5}:{(53,1),(74,1),(80,1)}
        68:{1,2,3,5,6}:{(53,1),(54,1),(57,1),(75,1),(78,1),(80,1),(81,1),(95,1)}
        69:{1,2,5,7}:{(54,1),(55,1),(56,1),(58,1),(79,1)}
        70:{1,2,3,7}:{(57,1),(58,1)}
        71:{3,5,6,7}:{(59,1),(60,1),(82,1),(83,1)}
        72:{2,4,6,7}:{(60,1),(62,1),(65,1),(82,1)}
        73:{1,4,6,7}:{(60,1),(63,1),(66,1),(83,1)}
        74:{3,4,5}:{(67,1),(86,1)}
        75:{3,5,6}:{(61,1),(86,1),(87,1)}
        76:{1,2,4,5,7}:{(61,1),(62,1),(63,1),(69,1),(85,1),(87,1),(90,1),(100,1),(104,1)}
        77:{1,2,4,5,7}:{(64,1),(67,1),(84,1),(88,1),(90,1),(100,1)}
        78:{1,2,3,6}:{(64,1),(88,1)}
        79:{1,2,6,7}:{(65,1),(66,1),(69,1)}
        80:{1,2,4,6}:{(67,1),(68,1),(86,1),(90,1)}
        81:{1,2,3,5,7}:{(68,1),(69,1),(70,1),(87,1),(89,1),(90,1),(100,1)}
        82:{2,5,6,7}:{(71,1),(72,1)}
        83:{1,5,6,7}:{(71,1),(73,1)}
        84:{3,4,5,7}:{(74,1),(77,1),(92,1),(94,1),(103,1)}
        85:{1,2,4,6,7}:{(72,1),(73,1),(76,1),(79,1),(91,1),(93,1),(102,1)}
        86:{3,4,6}:{(74,1),(75,1),(80,1),(94,1)}
        87:{3,5,7}:{(75,1),(76,1),(93,1),(94,1)}
        88:{1,2,4,6}:{(77,1),(78,1),(92,1),(95,1)}
        89:{1,2,3,6,7}:{(78,1),(79,1),(81,1),(93,1),(96,1)}
        90:{1,2,4,7}:{(80,1),(81,1),(94,1)}
        91:{1,2,5,6,7}:{(82,1),(83,1),(85,1),(97,1),(100,1)}
        92:{3,4,6}:{(84,1),(88,1),(98,1)}
        93:{3,6,7}:{(85,1),(87,1)}
        94:{3,4,7}:{(86,1),(87,1),(90,1)}
        95:{1,2,5,6}:{(88,1),(98,1),(100,1)}
        96:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(99,1),(100,1)}
        97:{3,5,6,7}:{(91,1),(93,1),(102,1),(103,1)}
        98:{3,5,6}:{(92,1),(95,1),(101,1),(103,1)}
        99:{3,4,6,7}:{(92,1),(93,1),(94,1),(96,1),(102,1),(103,1)}
       100:{1,2,5,7}:{(95,1),(96,1),(103,1)}
       101:{4,5,6}:{(98,1),(104,1)}
       102:{4,6,7}:{(97,1),(104,1)}
       103:{3,5,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{4,5,7}:{(101,1),(102,1),(103,1)}

1717 :  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:{3,4,5}:{(2,1),(7,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
        6:{1,2,3,7}:{(3,1),(9,1)}
        7:{3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,5,6}:{(5,1),(10,1),(12,1)}
        9:{1,2,4,7}:{(5,1),(6,1),(11,1),(12,1)}
       10:{3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{3,4,7}:{(7,1),(9,1),(14,1)}
       12:{1,2,5,7}:{(8,1),(9,1),(14,1),(15,1)}
       13:{4,5,6}:{(10,1),(16,1)}
       14:{3,5,7}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
       15:{1,2,6,7}:{(12,1),(17,1)}
       16:{4,5,7}:{(13,1),(14,1),(18,1)}
       17:{3,6,7}:{(14,1),(15,1),(18,1)}
       18:{4,6,7}:{(16,1),(17,1),(19,1)}
       19:{5,6,7}:{(18,1)}

1718 :   0:{1,3,4,6,7}:{(1,1),(2,1),(14,1),(23,1),(49,1),(51,1),(60,1),(89,1),(96,1),(116,1),(125,1)}
         1:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(29,1),(31,1),(41,1),(81,1),(114,1),(128,1)}
         2:{1,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(32,1),(38,1),(107,1),(126,1)}
         3:{1,3,5,6,7}:{(5,1),(10,1),(11,1),(38,1),(40,1),(62,1),(79,1)}
         4:{2,3,5,6,7}:{(10,1),(12,1),(25,1),(28,1),(39,1),(40,1),(80,1)}
         5:{1,3,5,6}:{(2,1),(13,1),(14,1),(46,1),(49,1)}
         6:{2,3,6,7}:{(1,1),(15,1),(49,1),(125,1),(134,1)}
         7:{1,2,5,7}:{(1,1),(2,1),(13,1),(15,1),(58,1),(133,1)}
         8:{1,4,5,7}:{(2,1),(14,1),(17,1),(96,1),(119,1)}
         9:{2,3,4,6,7}:{(18,1),(19,1),(24,1),(44,1),(61,1),(83,1),(90,1),(93,1),(97,1),(117,1),(125,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(13,1),(22,1),(43,1),(58,1),(59,1),(98,1)}
        11:{1,4,6,7}:{(3,1),(14,1),(20,1),(23,1),(82,1),(96,1)}
        12:{2,4,6,7}:{(4,1),(21,1),(24,1),(44,1),(48,1),(97,1)}
        13:{1,2,5,6}:{(5,1),(7,1),(28,1),(29,1),(66,1),(107,1)}
        14:{1,4,6}:{(5,1),(8,1),(30,1)}
        15:{2,3,5,7}:{(6,1),(7,1),(28,1),(31,1),(32,1),(137,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(29,1),(31,1),(32,1),(33,1),(68,1),(72,1),(74,1),(107,1),(114,1),(129,1)}
        17:{3,4,5,7}:{(8,1),(30,1),(32,1),(33,1),(38,1),(78,1),(103,1)}
        18:{1,2,4,6,7}:{(9,1),(34,1),(35,1),(42,1),(63,1),(75,1),(81,1),(109,1),(114,1)}
        19:{2,3,5,7}:{(9,1),(25,1),(35,1),(36,1),(39,1),(76,1),(108,1),(127,1)}
        20:{1,4,5,7}:{(11,1),(26,1),(38,1),(99,1)}
        21:{2,4,5,7}:{(12,1),(27,1),(39,1),(68,1)}
        22:{1,2,4,6,7}:{(10,1),(11,1),(12,1),(29,1),(37,1),(40,1),(41,1),(42,1),(63,1),(81,1),(114,1)}
        23:{3,4,6,7}:{(11,1),(30,1),(38,1),(40,1),(41,1),(78,1),(100,1)}
        24:{3,4,6,7}:{(12,1),(39,1),(40,1),(42,1),(64,1),(69,1),(78,1)}
        25:{2,3,5,6}:{(19,1),(43,1),(44,1),(47,1),(83,1)}
        26:{1,4,5,6}:{(14,1),(20,1),(46,1)}
        27:{2,4,5,6}:{(21,1),(44,1),(47,1)}
        28:{2,3,5,6}:{(13,1),(15,1),(48,1),(49,1),(88,1)}
        29:{1,2,4,6}:{(13,1),(14,1),(16,1),(48,1),(49,1),(50,1),(89,1),(91,1)}
        30:{3,4,6}:{(14,1),(17,1),(46,1),(49,1),(50,1)}
        31:{2,4,7}:{(15,1),(48,1),(51,1),(139,1)}
        32:{3,5,7}:{(16,1),(49,1),(51,1),(88,1),(125,1),(135,1)}
        33:{2,4,5,7}:{(17,1),(50,1),(53,1),(58,1),(97,1),(120,1)}
        34:{1,3,6,7}:{(18,1),(54,1),(83,1),(123,1),(125,1)}
        35:{1,2,5,7}:{(18,1),(19,1),(43,1),(54,1),(59,1),(122,1)}
        36:{2,4,5,7}:{(19,1),(44,1),(56,1),(97,1),(120,1)}
        37:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(45,1),(57,1),(58,1),(59,1),(96,1),(97,1),(98,1)}
        38:{3,5,7}:{(20,1),(23,1),(46,1),(58,1),(115,1)}
        39:{3,5,7}:{(21,1),(24,1),(47,1),(59,1),(88,1)}
        40:{3,6,7}:{(22,1),(49,1),(57,1),(83,1),(125,1)}
        41:{2,4,6,7}:{(23,1),(50,1),(58,1),(61,1),(97,1),(117,1)}
        42:{1,4,6,7}:{(24,1),(59,1),(60,1),(84,1),(89,1),(96,1)}
        43:{1,2,5,6}:{(25,1),(35,1),(62,1),(63,1),(67,1),(127,1)}
        44:{2,4,6}:{(25,1),(36,1),(64,1)}
        45:{1,2,4,5,6}:{(26,1),(27,1),(29,1),(37,1),(63,1),(65,1),(66,1),(67,1),(68,1),(99,1),(104,1),(105,1),(106,1),(107,1),(127,1),(129,1)}
        46:{3,5,6}:{(26,1),(30,1),(38,1),(66,1)}
        47:{3,5,6}:{(27,1),(39,1),(64,1),(67,1)}
        48:{2,4,6}:{(28,1),(31,1),(68,1),(69,1)}
        49:{3,6}:{(29,1),(32,1)}
        50:{2,4,6}:{(30,1),(33,1),(66,1),(71,1)}
        51:{3,4,7}:{(31,1),(32,1),(69,1),(72,1),(138,1)}
        52:{1,3,5,7}:{(32,1),(70,1),(72,1),(74,1),(107,1),(110,1),(131,1)}
        53:{2,3,5,7}:{(32,1),(33,1),(71,1),(73,1),(74,1),(108,1)}
        54:{1,3,5,7}:{(34,1),(35,1),(62,1),(75,1),(76,1),(131,1)}
        55:{1,2,4,5,7}:{(35,1),(36,1),(63,1),(75,1),(76,1),(77,1),(99,1),(112,1),(113,1),(114,1),(127,1),(129,1)}
        56:{3,4,5,7}:{(36,1),(39,1),(64,1),(76,1),(77,1),(78,1),(103,1)}
        57:{3,5,7}:{(37,1),(40,1),(65,1),(78,1)}
        58:{2,5,7}:{(38,1),(41,1),(66,1),(127,1)}
        59:{1,5,7}:{(39,1),(42,1),(67,1),(107,1)}
        60:{1,3,6,7}:{(40,1),(42,1),(70,1),(79,1),(81,1),(101,1)}
        61:{2,3,6,7}:{(40,1),(41,1),(71,1),(80,1),(81,1),(102,1)}
        62:{1,3,5,6}:{(43,1),(54,1),(82,1),(83,1),(115,1)}
        63:{1,2,4,6}:{(43,1),(44,1),(55,1),(82,1),(83,1),(84,1),(117,1),(118,1)}
        64:{3,4,6}:{(44,1),(47,1),(56,1),(83,1),(84,1)}
        65:{3,5,6}:{(45,1),(49,1),(57,1),(83,1),(85,1),(88,1),(115,1),(135,1)}
        66:{2,5,6}:{(46,1),(50,1),(58,1)}
        67:{1,5,6}:{(47,1),(59,1),(84,1)}
        68:{2,4,5}:{(48,1),(88,1)}
        69:{3,4,6}:{(48,1),(49,1),(51,1),(88,1),(89,1)}
        70:{1,3,6}:{(49,1),(52,1),(89,1),(91,1)}
        71:{2,3,6}:{(49,1),(50,1),(53,1),(91,1)}
        72:{1,4,7}:{(51,1),(52,1),(89,1),(136,1)}
        73:{2,3,4,7}:{(51,1),(53,1),(90,1),(92,1),(97,1),(125,1)}
        74:{1,2,5,7}:{(52,1),(53,1),(91,1),(92,1),(122,1)}
        75:{1,4,7}:{(54,1),(82,1),(93,1),(136,1)}
        76:{3,5,7}:{(55,1),(83,1),(93,1),(115,1),(125,1),(135,1)}
        77:{1,4,5,7}:{(56,1),(59,1),(84,1),(94,1),(96,1),(119,1)}
        78:{3,4,7}:{(57,1),(85,1),(96,1),(97,1),(125,1)}
        79:{1,3,5,7}:{(57,1),(59,1),(60,1),(86,1),(96,1),(98,1),(125,1)}
        80:{2,3,5,7}:{(57,1),(58,1),(61,1),(87,1),(97,1),(98,1),(125,1)}
        81:{1,2,6,7}:{(60,1),(61,1),(91,1),(98,1),(118,1)}
        82:{1,4,6}:{(62,1),(75,1),(99,1),(100,1)}
        83:{3,6}:{(63,1),(76,1)}
        84:{1,4,6}:{(64,1),(67,1),(77,1),(101,1)}
        85:{3,4,6}:{(65,1),(78,1),(103,1),(104,1),(105,1),(130,1),(138,1)}
        86:{1,3,5,6}:{(65,1),(67,1),(70,1),(79,1),(101,1),(104,1),(106,1),(107,1),(126,1),(130,1),(131,1)}
        87:{2,3,5,6}:{(65,1),(66,1),(71,1),(80,1),(102,1),(105,1),(106,1),(108,1),(127,1),(130,1),(137,1)}
        88:{3,5}:{(68,1),(69,1),(107,1)}
        89:{1,4,6}:{(69,1),(70,1),(72,1),(107,1)}
        90:{2,3,4,6}:{(69,1),(71,1),(73,1),(105,1),(108,1),(109,1),(130,1),(138,1)}
        91:{1,2,6}:{(70,1),(71,1),(74,1)}
        92:{1,2,4,7}:{(72,1),(73,1),(74,1),(109,1),(110,1)}
        93:{3,4,7}:{(75,1),(76,1),(100,1),(112,1),(138,1)}
        94:{1,3,5,7}:{(76,1),(77,1),(101,1),(111,1),(113,1),(126,1)}
        95:{2,3,5,7}:{(76,1),(102,1),(112,1),(113,1),(127,1),(132,1),(137,1)}
        96:{1,4,7}:{(78,1),(79,1),(104,1)}
        97:{2,4,7}:{(78,1),(80,1),(105,1)}
        98:{1,2,5,7}:{(79,1),(80,1),(81,1),(106,1),(114,1)}
        99:{1,4,5}:{(82,1),(115,1)}
       100:{3,4,6}:{(82,1),(83,1),(93,1),(115,1),(117,1)}
       101:{1,3,6}:{(83,1),(84,1),(94,1),(118,1)}
       102:{2,3,6}:{(83,1),(95,1),(117,1),(118,1)}
       103:{3,4,5}:{(85,1),(88,1),(115,1),(119,1),(120,1),(135,1)}
       104:{1,4,6}:{(85,1),(86,1),(96,1),(119,1),(136,1)}
       105:{2,4,6}:{(85,1),(87,1),(97,1),(120,1),(139,1)}
       106:{1,2,5,6}:{(86,1),(87,1),(91,1),(98,1),(118,1),(121,1),(122,1),(133,1)}
       107:{1,5}:{(88,1),(89,1)}
       108:{2,3,5}:{(88,1),(90,1),(120,1),(122,1),(135,1)}
       109:{1,2,4,6}:{(89,1),(90,1),(91,1),(92,1),(122,1),(123,1),(136,1)}
       110:{1,3,7}:{(92,1),(123,1),(125,1)}
       111:{1,3,4,7}:{(93,1),(94,1),(96,1),(116,1),(124,1),(125,1)}
       112:{2,4,7}:{(93,1),(95,1),(117,1),(139,1)}
       113:{1,2,5,7}:{(94,1),(95,1),(118,1),(124,1),(133,1)}
       114:{1,2,4,7}:{(96,1),(97,1),(98,1),(121,1),(125,1)}
       115:{3,5}:{(99,1),(100,1),(127,1)}
       116:{1,3,4,6}:{(100,1),(101,1),(104,1),(111,1),(126,1),(128,1),(130,1),(138,1)}
       117:{2,4,6}:{(100,1),(102,1),(112,1),(127,1)}
       118:{1,2,6}:{(101,1),(102,1),(113,1)}
       119:{1,4,5}:{(103,1),(104,1),(107,1),(126,1)}
       120:{2,4,5}:{(103,1),(105,1),(108,1),(127,1)}
       121:{1,2,4,6}:{(104,1),(105,1),(106,1),(114,1),(129,1),(130,1)}
       122:{1,2,5}:{(107,1),(108,1),(109,1),(131,1)}
       123:{1,3,6}:{(109,1),(110,1),(130,1),(131,1)}
       124:{1,2,4,7}:{(111,1),(112,1),(113,1),(128,1),(132,1)}
       125:{3,7}:{(114,1),(130,1)}
       126:{1,3,5}:{(115,1),(116,1),(119,1),(133,1),(135,1)}
       127:{2,5}:{(115,1),(117,1)}
       128:{1,2,4,6}:{(116,1),(117,1),(118,1),(124,1),(133,1),(134,1),(139,1)}
       129:{1,2,4,5}:{(119,1),(120,1),(121,1),(122,1),(133,1),(135,1),(136,1),(139,1)}
       130:{3,6}:{(121,1),(125,1),(135,1)}
       131:{1,3,5}:{(122,1),(123,1),(135,1),(136,1)}
       132:{2,3,7}:{(124,1),(125,1),(134,1)}
       133:{1,2,5}:{(126,1),(127,1),(128,1),(137,1)}
       134:{2,3,6}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,5}:{(129,1),(130,1),(138,1)}
       136:{1,4}:{(131,1),(138,1)}
       137:{2,3,5}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,4}:{(135,1),(136,1),(139,1)}
       139:{2,4}:{(137,1),(138,1)}

1719 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(23,1),(56,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(36,1),(73,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(26,1),(51,1),(90,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(21,1),(26,1),(50,1),(93,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(22,1),(26,1),(49,1),(92,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(11,1),(12,1),(36,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(11,1),(68,1),(112,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(12,1),(67,1),(111,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(15,1),(34,1),(35,1),(114,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(44,1),(90,1),(156,1)}
        10:{1,3,4,5,7}:{(19,1),(20,1),(21,1),(51,1),(79,1),(82,1),(89,1),(124,1),(132,1)}
        11:{1,4,5,7}:{(5,1),(6,1),(17,1),(21,1)}
        12:{2,4,5,7}:{(5,1),(7,1),(18,1),(22,1)}
        13:{1,3,4,6,7}:{(6,1),(19,1),(21,1),(24,1),(26,1),(51,1)}
        14:{2,3,4,6,7}:{(7,1),(22,1),(25,1),(26,1),(41,1),(51,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(23,1),(26,1),(133,1)}
        16:{1,2,3,5,6,7}:{(8,1),(26,1),(27,1),(49,1),(50,1),(52,1),(55,1),(76,1),(91,1),(92,1),(93,1),(136,1),(160,1),(163,1),(172,1)}
        17:{1,4,5,6}:{(9,1),(11,1),(28,1),(112,1),(144,1)}
        18:{2,4,5,6}:{(9,1),(12,1),(29,1),(111,1),(164,1)}
        19:{1,3,4,6}:{(10,1),(28,1),(31,1),(60,1),(112,1),(151,1)}
        20:{1,2,4,5,7}:{(10,1),(31,1),(32,1),(34,1),(63,1),(67,1),(98,1),(102,1)}
        21:{1,3,5,7}:{(11,1),(13,1),(28,1),(34,1),(36,1)}
        22:{2,3,5,7}:{(12,1),(14,1),(29,1),(35,1),(36,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(15,1),(30,1),(34,1),(35,1),(36,1),(67,1),(68,1)}
        24:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(37,1),(67,1)}
        25:{1,2,4,6,7}:{(14,1),(35,1),(38,1),(57,1),(68,1)}
        26:{3,6,7}:{(15,1),(36,1),(151,1)}
        27:{1,2,4,6,7}:{(16,1),(39,1),(40,1),(67,1),(68,1),(97,1),(111,1),(112,1),(169,1),(174,1)}
        28:{1,3,5,6}:{(17,1),(19,1),(21,1),(42,1),(44,1),(124,1)}
        29:{2,3,5,6}:{(18,1),(22,1),(41,1),(43,1),(44,1),(153,1)}
        30:{1,2,4,5,6}:{(17,1),(18,1),(23,1),(42,1),(43,1),(44,1),(77,1),(78,1),(120,1),(133,1)}
        31:{1,2,4,6}:{(19,1),(20,1),(42,1),(45,1),(77,1)}
        32:{2,3,5,7}:{(20,1),(45,1),(47,1),(81,1),(132,1)}
        33:{2,3,4,5,7}:{(22,1),(41,1),(48,1),(51,1),(79,1),(88,1),(129,1),(132,1),(153,1)}
        34:{1,2,5,7}:{(21,1),(24,1),(42,1),(49,1)}
        35:{1,2,5,7}:{(22,1),(25,1),(43,1),(50,1)}
        36:{3,5,7}:{(23,1),(26,1),(44,1),(51,1)}
        37:{2,3,6,7}:{(24,1),(26,1),(45,1),(49,1)}
        38:{1,3,6,7}:{(25,1),(26,1),(50,1),(75,1)}
        39:{3,4,6,7}:{(26,1),(27,1),(51,1),(55,1),(90,1),(119,1),(163,1),(173,1)}
        40:{1,2,4,5,7}:{(27,1),(55,1),(56,1),(88,1),(89,1),(91,1),(120,1)}
        41:{2,3,4,6}:{(29,1),(33,1),(57,1),(60,1),(111,1),(151,1)}
        42:{1,2,5,6}:{(28,1),(31,1),(34,1),(58,1),(102,1)}
        43:{1,2,5,6}:{(29,1),(35,1),(57,1),(59,1),(138,1)}
        44:{3,5,6}:{(30,1),(36,1),(60,1),(140,1),(151,1)}
        45:{2,3,6}:{(31,1),(32,1),(151,1)}
        46:{1,2,3,5,7}:{(32,1),(61,1),(63,1),(102,1),(104,1)}
        47:{2,3,4,7}:{(32,1),(62,1),(63,1),(67,1),(109,1)}
        48:{1,2,4,5,7}:{(33,1),(35,1),(57,1),(65,1),(68,1),(99,1),(107,1),(138,1)}
        49:{2,3,5,7}:{(34,1),(36,1),(37,1),(58,1),(67,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(38,1),(59,1),(68,1)}
        51:{3,4,7}:{(36,1),(60,1),(67,1),(68,1)}
        52:{1,2,3,6,7}:{(37,1),(38,1),(61,1),(66,1),(70,1),(95,1),(147,1),(151,1),(170,1)}
        53:{2,3,4,6,7}:{(37,1),(39,1),(62,1),(67,1),(70,1),(71,1),(109,1),(111,1),(137,1),(151,1),(170,1),(174,1)}
        54:{1,3,4,6,7}:{(38,1),(39,1),(68,1),(70,1),(72,1),(96,1),(101,1),(109,1),(112,1),(147,1),(151,1),(169,1)}
        55:{3,5,7}:{(39,1),(40,1),(73,1),(140,1)}
        56:{1,2,4,5,6}:{(40,1),(73,1),(111,1),(112,1),(114,1)}
        57:{1,2,4,6}:{(41,1),(43,1),(48,1),(75,1),(78,1)}
        58:{2,3,5,6}:{(42,1),(44,1),(45,1),(49,1),(77,1),(81,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(50,1),(75,1),(78,1),(118,1)}
        60:{3,4,6}:{(44,1),(51,1),(77,1),(78,1),(79,1)}
        61:{1,2,3,6}:{(45,1),(46,1),(80,1),(127,1)}
        62:{2,3,4,6}:{(45,1),(47,1),(77,1),(80,1),(81,1),(119,1)}
        63:{1,2,4,7}:{(46,1),(47,1),(80,1),(82,1)}
        64:{2,3,4,5,7}:{(47,1),(81,1),(83,1),(84,1),(88,1),(126,1),(132,1),(156,1),(173,1)}
        65:{1,3,5,7}:{(48,1),(75,1),(86,1),(118,1),(132,1)}
        66:{1,2,3,5,7}:{(49,1),(50,1),(52,1),(76,1),(87,1),(91,1),(132,1),(160,1),(172,1)}
        67:{2,4,7}:{(49,1),(51,1),(77,1)}
        68:{1,4,7}:{(50,1),(51,1),(78,1)}
        69:{3,4,5,7}:{(51,1),(55,1),(79,1),(88,1),(89,1),(90,1),(132,1),(156,1),(173,1)}
        70:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(80,1),(87,1),(91,1),(117,1),(133,1)}
        71:{2,3,5,7}:{(53,1),(55,1),(81,1),(88,1),(91,1),(92,1),(132,1),(153,1)}
        72:{1,3,5,7}:{(54,1),(55,1),(89,1),(91,1),(93,1),(118,1),(124,1),(132,1)}
        73:{3,5,6}:{(55,1),(56,1),(90,1)}
        74:{1,2,4,5,6,7}:{(56,1),(94,1),(134,1),(135,1),(136,1),(158,1)}
        75:{1,3,6}:{(57,1),(65,1),(151,1)}
        76:{1,2,3,5,6}:{(58,1),(59,1),(61,1),(66,1),(95,1),(97,1),(102,1),(114,1),(138,1),(140,1),(145,1),(151,1),(165,1)}
        77:{2,4,6}:{(58,1),(60,1),(67,1),(98,1)}
        78:{1,4,6}:{(59,1),(60,1),(68,1),(99,1)}
        79:{3,4,5}:{(60,1),(98,1),(99,1),(140,1)}
        80:{1,2,4,6}:{(61,1),(62,1),(63,1),(101,1),(102,1)}
        81:{2,3,5}:{(62,1),(98,1),(102,1),(140,1)}
        82:{1,3,4,7}:{(63,1),(101,1),(104,1),(109,1),(169,1)}
        83:{1,2,4,5,7}:{(63,1),(64,1),(102,1),(104,1),(105,1),(144,1),(146,1),(169,1)}
        84:{2,3,4,6}:{(64,1),(103,1),(105,1),(111,1),(151,1),(167,1)}
        85:{1,2,3,5,7}:{(65,1),(95,1),(107,1),(138,1),(148,1)}
        86:{1,3,4,7}:{(65,1),(68,1),(96,1),(107,1),(109,1)}
        87:{1,2,4,7}:{(66,1),(67,1),(68,1),(97,1),(109,1),(169,1),(174,1)}
        88:{2,4,5,7}:{(67,1),(69,1),(71,1),(98,1),(111,1),(164,1),(174,1)}
        89:{1,4,5,7}:{(68,1),(69,1),(72,1),(99,1),(112,1),(144,1),(169,1)}
        90:{3,4,6}:{(69,1),(73,1),(111,1),(112,1),(151,1)}
        91:{1,2,5,7}:{(70,1),(71,1),(72,1),(102,1),(114,1),(138,1)}
        92:{2,3,5,6}:{(71,1),(73,1),(111,1),(114,1),(151,1)}
        93:{1,3,5,6}:{(72,1),(73,1),(112,1),(114,1),(151,1)}
        94:{3,5,6,7}:{(73,1),(74,1),(113,1),(168,1)}
        95:{1,2,3,6}:{(75,1),(85,1),(117,1),(161,1)}
        96:{1,3,4,6}:{(75,1),(78,1),(86,1),(117,1),(118,1),(119,1)}
        97:{1,2,4,6}:{(76,1),(77,1),(78,1),(87,1),(119,1),(120,1),(159,1),(171,1)}
        98:{2,4,5}:{(77,1),(79,1),(81,1)}
        99:{1,4,5}:{(78,1),(79,1),(118,1)}
       100:{3,4,5,6}:{(79,1),(90,1),(121,1),(122,1),(123,1),(157,1)}
       101:{1,3,4,6}:{(80,1),(82,1),(119,1),(124,1),(127,1),(159,1)}
       102:{1,2,5}:{(80,1),(81,1),(124,1)}
       103:{2,3,5,6}:{(81,1),(84,1),(121,1),(125,1),(126,1),(157,1)}
       104:{1,3,5,7}:{(82,1),(83,1),(124,1),(127,1),(132,1)}
       105:{1,2,4,6}:{(83,1),(84,1),(125,1),(127,1),(159,1)}
       106:{2,3,4,6,7}:{(84,1),(126,1),(128,1),(134,1),(163,1),(173,1)}
       107:{1,2,4,7}:{(85,1),(86,1),(117,1),(129,1)}
       108:{1,3,4,5,7}:{(86,1),(89,1),(118,1),(130,1),(131,1),(132,1),(155,1),(156,1),(173,1)}
       109:{3,4,7}:{(87,1),(119,1),(132,1)}
       110:{1,2,4,5,7}:{(87,1),(88,1),(89,1),(91,1),(120,1),(132,1),(133,1)}
       111:{2,4,6}:{(88,1),(90,1),(92,1)}
       112:{1,4,6}:{(89,1),(90,1),(93,1)}
       113:{3,4,6,7}:{(90,1),(94,1),(123,1),(134,1),(135,1),(163,1),(173,1)}
       114:{1,2,5,6}:{(91,1),(92,1),(93,1),(133,1)}
       115:{2,3,5,6,7}:{(92,1),(94,1),(126,1),(134,1),(136,1),(163,1),(172,1)}
       116:{1,3,5,6,7}:{(93,1),(94,1),(135,1),(136,1),(155,1),(160,1),(163,1)}
       117:{1,2,4,6}:{(95,1),(96,1),(107,1),(137,1),(138,1)}
       118:{1,3,5}:{(96,1),(99,1),(138,1),(140,1)}
       119:{3,4,6}:{(97,1),(109,1),(140,1),(151,1)}
       120:{1,2,4,5}:{(97,1),(98,1),(99,1),(102,1),(138,1),(140,1),(144,1),(164,1)}
       121:{2,4,5,6}:{(98,1),(100,1),(103,1),(111,1),(142,1)}
       122:{1,4,5,6}:{(99,1),(100,1),(112,1),(139,1),(143,1)}
       123:{3,4,5,7}:{(100,1),(113,1),(142,1),(143,1),(168,1)}
       124:{1,3,5}:{(101,1),(102,1),(140,1),(144,1)}
       125:{1,2,5,6}:{(102,1),(103,1),(105,1),(145,1),(146,1)}
       126:{2,3,5,7}:{(103,1),(106,1),(142,1),(146,1),(168,1)}
       127:{1,3,6}:{(104,1),(105,1),(151,1)}
       128:{1,2,4,6,7}:{(105,1),(106,1),(146,1),(147,1),(169,1)}
       129:{2,3,4,7}:{(107,1),(109,1),(137,1),(148,1),(174,1)}
       130:{1,2,4,5,7}:{(107,1),(108,1),(138,1),(148,1),(149,1),(164,1),(166,1),(174,1)}
       131:{1,3,4,6}:{(108,1),(112,1),(139,1),(149,1),(151,1),(167,1)}
       132:{3,5,7}:{(109,1),(110,1),(140,1),(151,1)}
       133:{1,2,4,6}:{(110,1),(111,1),(112,1),(114,1),(151,1)}
       134:{2,4,6,7}:{(111,1),(113,1),(115,1),(142,1),(174,1)}
       135:{1,4,6,7}:{(112,1),(113,1),(116,1),(143,1),(169,1)}
       136:{1,2,5,6,7}:{(114,1),(115,1),(116,1),(146,1),(152,1),(166,1)}
       137:{2,3,4,6}:{(117,1),(119,1),(129,1),(153,1),(161,1),(171,1)}
       138:{1,2,5}:{(117,1),(118,1),(153,1)}
       139:{1,3,5,6}:{(118,1),(122,1),(131,1),(154,1),(155,1),(157,1)}
       140:{3,5}:{(119,1),(120,1)}
       141:{1,2,4,5,6}:{(120,1),(121,1),(122,1),(125,1),(133,1),(154,1),(157,1),(158,1),(159,1),(171,1)}
       142:{2,4,5,7}:{(121,1),(123,1),(126,1),(134,1)}
       143:{1,4,5,7}:{(122,1),(123,1),(135,1),(155,1)}
       144:{1,4,5}:{(124,1),(156,1),(159,1)}
       145:{1,3,5,6}:{(124,1),(125,1),(127,1),(157,1),(159,1),(160,1)}
       146:{1,2,5,7}:{(125,1),(126,1),(128,1),(160,1)}
       147:{1,3,6,7}:{(127,1),(128,1),(160,1),(163,1)}
       148:{2,3,5,7}:{(129,1),(130,1),(132,1),(153,1),(161,1)}
       149:{1,2,4,6}:{(130,1),(131,1),(154,1),(161,1),(171,1)}
       150:{1,3,4,6,7}:{(131,1),(135,1),(155,1),(162,1),(163,1),(173,1)}
       151:{3,6}:{(132,1),(133,1)}
       152:{1,2,4,6,7}:{(133,1),(134,1),(135,1),(136,1),(158,1),(163,1)}
       153:{2,3,5}:{(137,1),(138,1),(140,1),(164,1)}
       154:{1,2,5,6}:{(138,1),(139,1),(149,1),(165,1),(166,1)}
       155:{1,3,5,7}:{(139,1),(143,1),(150,1),(166,1),(168,1)}
       156:{3,4,5}:{(140,1),(144,1),(164,1),(167,1)}
       157:{3,5,6}:{(140,1),(141,1),(151,1),(167,1),(168,1)}
       158:{1,2,4,5,7}:{(141,1),(142,1),(143,1),(146,1),(152,1),(166,1),(168,1),(169,1),(174,1)}
       159:{1,4,6}:{(144,1),(145,1),(167,1),(169,1)}
       160:{1,3,5,7}:{(145,1),(146,1),(147,1),(168,1),(169,1)}
       161:{2,3,6}:{(148,1),(149,1),(151,1)}
       162:{1,2,4,6,7}:{(149,1),(150,1),(166,1),(170,1),(174,1)}
       163:{3,6,7}:{(151,1),(152,1),(168,1)}
       164:{2,4,5}:{(153,1),(156,1),(171,1)}
       165:{2,3,5,6}:{(153,1),(154,1),(157,1),(161,1),(171,1),(172,1)}
       166:{1,2,5,7}:{(154,1),(155,1),(162,1),(172,1)}
       167:{3,4,6}:{(156,1),(157,1),(159,1),(171,1),(173,1)}
       168:{3,5,7}:{(157,1),(158,1),(163,1),(173,1)}
       169:{1,4,7}:{(159,1),(160,1),(173,1)}
       170:{2,3,6,7}:{(161,1),(162,1),(163,1),(172,1)}
       171:{2,4,6}:{(164,1),(165,1),(167,1),(174,1)}
       172:{2,3,5,7}:{(165,1),(166,1),(168,1),(170,1),(174,1)}
       173:{3,4,7}:{(167,1),(168,1),(169,1),(174,1)}
       174:{2,4,7}:{(171,1),(172,1),(173,1)}

1720 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(65,1),(72,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(53,1),(60,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(58,1),(61,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(48,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(45,1),(49,1)}
         5:{1,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(30,1),(54,1),(58,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(36,1),(76,1)}
         8:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(36,1),(53,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(37,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{1,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(42,1),(45,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(24,1),(87,1)}
        15:{2,4,5,6,7}:{(7,1),(8,1),(64,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(45,1)}
        17:{1,3,6,7}:{(9,1),(10,1)}
        18:{1,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{1,3,4,5}:{(11,1),(23,1)}
        20:{2,3,4,6}:{(13,1),(29,1),(30,1),(54,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(33,1),(54,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(29,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(30,1)}
        24:{1,3,5,6,7}:{(14,1),(31,1),(35,1),(36,1),(80,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(35,1),(36,1),(37,1),(57,1),(59,1)}
        26:{1,3,5,6,7}:{(16,1),(17,1),(36,1),(37,1),(38,1)}
        27:{1,3,4,6,7}:{(17,1),(18,1),(33,1),(37,1),(38,1),(39,1),(56,1)}
        28:{1,3,4,5,7}:{(18,1),(19,1),(34,1),(38,1),(39,1),(76,1)}
        29:{2,3,4,7}:{(20,1),(22,1),(42,1)}
        30:{2,3,5}:{(20,1),(23,1)}
        31:{1,3,4,6,7}:{(24,1),(40,1),(43,1),(48,1)}
        32:{1,2,3,5,6,7}:{(21,1),(26,1),(44,1),(45,1),(47,1),(65,1),(66,1),(69,1),(89,1),(91,1)}
        33:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(41,1),(45,1),(46,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(42,1),(45,1),(46,1),(64,1)}
        35:{1,2,5,6,7}:{(24,1),(43,1),(47,1),(89,1)}
        36:{3,5,6,7}:{(25,1),(48,1),(69,1)}
        37:{1,4,6,7}:{(26,1),(48,1),(49,1)}
        38:{1,3,5,7}:{(27,1),(45,1),(49,1),(50,1),(69,1)}
        39:{1,3,4,6}:{(28,1),(46,1),(50,1),(88,1)}
        40:{1,3,4,5,7}:{(31,1),(51,1),(52,1),(60,1),(80,1),(94,1)}
        41:{2,3,4,6,7}:{(29,1),(33,1),(53,1),(54,1),(56,1),(77,1)}
        42:{2,3,5,7}:{(29,1),(30,1),(34,1),(54,1)}
        43:{1,2,4,6,7}:{(31,1),(35,1),(52,1),(55,1),(59,1)}
        44:{1,2,4,6,7}:{(32,1),(37,1),(56,1),(57,1),(59,1),(77,1),(97,1)}
        45:{1,2,5,7}:{(33,1),(38,1),(53,1),(58,1)}
        46:{1,2,4,6}:{(34,1),(39,1),(54,1),(58,1),(77,1)}
        47:{2,3,5,6,7}:{(35,1),(36,1),(55,1),(59,1),(79,1)}
        48:{3,4,6,7}:{(36,1),(37,1),(59,1),(60,1)}
        49:{1,4,5,7}:{(37,1),(38,1),(60,1),(61,1)}
        50:{1,3,5,6}:{(38,1),(39,1),(58,1),(61,1),(81,1)}
        51:{1,3,4,5,6}:{(40,1),(62,1),(72,1),(91,1),(99,1)}
        52:{1,2,4,5,7}:{(40,1),(43,1),(62,1),(63,1),(71,1),(85,1),(89,1)}
        53:{2,3,5,7}:{(41,1),(45,1),(64,1),(65,1),(69,1)}
        54:{2,3,6}:{(42,1),(46,1)}
        55:{2,3,6,7}:{(43,1),(63,1)}
        56:{3,4,6,7}:{(44,1),(69,1),(88,1)}
        57:{1,2,4,5,7}:{(44,1),(45,1),(49,1),(64,1),(69,1),(70,1),(71,1),(87,1),(89,1)}
        58:{1,2,5,6}:{(45,1),(46,1),(50,1),(65,1)}
        59:{2,4,6,7}:{(47,1),(48,1),(71,1)}
        60:{3,4,5,7}:{(48,1),(49,1),(69,1),(71,1),(72,1)}
        61:{1,4,5,6}:{(49,1),(50,1),(72,1)}
        62:{1,2,4,5,6}:{(51,1),(52,1),(73,1),(82,1),(92,1),(98,1)}
        63:{2,3,5,7}:{(52,1),(55,1),(73,1),(75,1)}
        64:{2,4,5,7}:{(53,1),(76,1),(77,1)}
        65:{2,3,5,6}:{(53,1),(54,1),(58,1),(77,1),(81,1)}
        66:{1,2,3,6,7}:{(55,1),(74,1),(78,1),(104,1)}
        67:{2,3,4,6,7}:{(55,1),(56,1),(59,1),(75,1),(78,1),(79,1),(96,1)}
        68:{1,3,4,6,7}:{(56,1),(78,1),(80,1),(94,1),(97,1),(104,1)}
        69:{3,5,7}:{(56,1),(57,1),(81,1)}
        70:{1,2,4,5,6}:{(57,1),(58,1),(61,1),(77,1),(81,1),(82,1),(97,1),(98,1)}
        71:{2,4,5,7}:{(59,1),(60,1),(79,1),(82,1)}
        72:{3,4,5,6}:{(60,1),(61,1),(81,1),(82,1)}
        73:{2,3,5,6}:{(62,1),(63,1),(84,1)}
        74:{1,2,3,5,7}:{(63,1),(66,1),(83,1),(85,1),(89,1),(101,1)}
        75:{2,3,4,7}:{(63,1),(84,1),(85,1)}
        76:{3,4,5,7}:{(64,1),(69,1),(87,1),(88,1)}
        77:{2,4,6}:{(64,1),(65,1),(88,1)}
        78:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(85,1),(89,1),(102,1)}
        79:{2,3,5,7}:{(67,1),(69,1),(71,1),(89,1),(90,1)}
        80:{1,3,5,7}:{(68,1),(69,1),(87,1),(89,1),(91,1)}
        81:{3,5,6}:{(69,1),(70,1),(88,1)}
        82:{2,4,5,6}:{(71,1),(72,1),(90,1)}
        83:{1,2,3,5,6}:{(73,1),(74,1),(92,1),(98,1),(103,1),(104,1)}
        84:{2,3,4,6}:{(73,1),(75,1),(92,1),(93,1)}
        85:{1,2,4,7}:{(74,1),(75,1),(92,1),(94,1)}
        86:{2,3,4,5,7}:{(75,1),(76,1),(79,1),(93,1),(95,1),(96,1)}
        87:{1,4,5,7}:{(76,1),(80,1),(97,1)}
        88:{3,4,6}:{(76,1),(77,1),(81,1),(97,1)}
        89:{1,2,5,7}:{(78,1),(79,1),(80,1),(98,1)}
        90:{2,3,5,6}:{(79,1),(81,1),(82,1),(96,1),(98,1)}
        91:{1,3,5,6}:{(80,1),(81,1),(97,1),(98,1),(104,1)}
        92:{1,2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        93:{2,3,4,5}:{(84,1),(100,1)}
        94:{1,3,4,7}:{(85,1),(99,1),(101,1)}
        95:{1,2,4,5,7}:{(85,1),(86,1),(87,1),(89,1),(100,1),(101,1),(102,1)}
        96:{2,3,4,6}:{(86,1),(88,1),(90,1),(102,1)}
        97:{1,4,6}:{(87,1),(88,1),(91,1)}
        98:{1,2,5,6}:{(89,1),(90,1),(91,1),(102,1)}
        99:{1,3,4,6}:{(92,1),(94,1),(103,1),(104,1)}
       100:{1,2,4,5}:{(92,1),(93,1),(103,1)}
       101:{1,3,5,7}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       103:{1,3,5}:{(99,1),(100,1)}
       104:{1,3,6}:{(101,1),(102,1)}

1721 :   0:{1,4,5,6,7}:{(2,1),(16,1),(173,1)}
         1:{1,3,4,5,7}:{(3,1),(4,1),(14,1),(47,1),(84,1),(91,1),(99,1),(127,1),(132,1),(135,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(8,1),(190,1)}
         3:{1,3,4,6}:{(1,1),(10,1),(11,1),(75,1),(153,1),(158,1),(160,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(27,1),(33,1),(62,1),(72,1),(76,1)}
         5:{1,3,4,6,7}:{(3,1),(14,1),(15,1),(16,1),(45,1),(84,1),(87,1)}
         6:{3,4,6,7}:{(2,1),(13,1),(16,1),(17,1),(45,1),(175,1)}
         7:{1,3,5,6,7}:{(2,1),(14,1),(16,1),(18,1),(45,1),(128,1)}
         8:{2,5,6,7}:{(2,1),(17,1),(202,1)}
         9:{3,4,5,6}:{(13,1),(20,1),(21,1),(53,1),(142,1),(175,1)}
        10:{1,3,5,6}:{(3,1),(14,1),(20,1),(22,1),(53,1),(91,1),(138,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(22,1),(23,1),(54,1)}
        12:{2,3,5,7}:{(4,1),(23,1),(24,1),(55,1),(132,1)}
        13:{3,4,5,7}:{(6,1),(9,1),(25,1),(26,1),(61,1)}
        14:{1,3,5,7}:{(5,1),(10,1),(25,1),(27,1),(61,1),(111,1)}
        15:{1,2,4,6,7}:{(5,1),(11,1),(27,1),(28,1),(62,1)}
        16:{1,4,6,7}:{(6,1),(7,1),(25,1),(153,1)}
        17:{2,4,6,7}:{(6,1),(8,1),(26,1),(29,1),(192,1)}
        18:{1,2,5,6,7}:{(7,1),(8,1),(27,1),(30,1),(31,1),(106,1),(111,1)}
        19:{1,2,3,5,7}:{(12,1),(32,1),(33,1),(69,1),(72,1)}
        20:{1,4,5,6}:{(9,1),(10,1),(25,1),(115,1),(153,1)}
        21:{2,4,5,6}:{(9,1),(26,1),(34,1),(164,1),(192,1)}
        22:{1,2,5,6}:{(10,1),(11,1),(27,1),(36,1),(72,1)}
        23:{2,3,6}:{(11,1),(12,1),(158,1)}
        24:{2,3,4,7}:{(12,1),(33,1),(37,1),(62,1),(104,1)}
        25:{1,4,5,7}:{(13,1),(14,1),(16,1),(20,1)}
        26:{2,4,5,7}:{(13,1),(17,1),(21,1),(40,1)}
        27:{1,2,5,7}:{(14,1),(15,1),(22,1),(42,1)}
        28:{2,3,6,7}:{(15,1),(23,1),(42,1),(45,1)}
        29:{2,3,6,7}:{(17,1),(40,1),(44,1),(45,1),(178,1)}
        30:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(41,1),(44,1),(45,1),(46,1),(87,1),(133,1)}
        31:{2,3,5,6,7}:{(18,1),(42,1),(45,1),(46,1),(86,1),(88,1)}
        32:{1,2,3,6}:{(19,1),(23,1),(50,1),(92,1)}
        33:{1,2,4,7}:{(19,1),(24,1),(47,1),(50,1)}
        34:{2,3,5,6}:{(21,1),(40,1),(48,1),(52,1),(53,1),(146,1),(178,1)}
        35:{1,2,4,5,6}:{(20,1),(21,1),(22,1),(41,1),(52,1),(53,1),(54,1),(89,1),(95,1),(98,1),(133,1),(138,1)}
        36:{2,3,5,6}:{(22,1),(23,1),(42,1),(53,1),(54,1),(55,1)}
        37:{2,3,4,6}:{(23,1),(24,1),(50,1),(54,1),(55,1),(94,1)}
        38:{2,3,4,5,7}:{(24,1),(51,1),(55,1),(56,1),(85,1),(101,1),(132,1),(142,1),(174,1),(186,1)}
        39:{1,2,3,6,7}:{(28,1),(32,1),(58,1),(59,1),(64,1),(117,1),(158,1),(194,1),(195,1)}
        40:{2,3,5,7}:{(26,1),(29,1),(34,1),(57,1),(60,1),(61,1)}
        41:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(30,1),(35,1),(60,1),(61,1),(62,1),(66,1),(107,1),(111,1)}
        42:{2,3,5,7}:{(27,1),(28,1),(36,1),(61,1),(62,1)}
        43:{2,3,4,6,7}:{(28,1),(37,1),(59,1),(62,1),(63,1),(65,1),(104,1),(109,1),(158,1)}
        44:{1,2,6,7}:{(29,1),(60,1),(64,1),(194,1)}
        45:{3,6,7}:{(30,1),(61,1),(158,1)}
        46:{2,4,6,7}:{(31,1),(62,1),(65,1),(66,1),(109,1)}
        47:{1,3,4,7}:{(33,1),(68,1),(69,1),(104,1),(167,1)}
        48:{2,3,4,6}:{(34,1),(57,1),(67,1),(70,1),(75,1)}
        49:{1,2,3,5,6}:{(32,1),(36,1),(58,1),(71,1),(72,1),(74,1),(106,1),(116,1),(118,1),(121,1),(158,1),(168,1),(169,1),(194,1)}
        50:{1,2,4,6}:{(32,1),(33,1),(37,1),(68,1),(72,1)}
        51:{1,2,4,5,7}:{(33,1),(38,1),(69,1),(72,1),(73,1),(115,1),(123,1),(167,1)}
        52:{1,2,5,6}:{(34,1),(60,1),(70,1),(74,1),(168,1),(194,1)}
        53:{3,5,6}:{(35,1),(61,1),(75,1),(121,1),(158,1)}
        54:{2,4,6}:{(36,1),(62,1),(75,1),(76,1)}
        55:{2,3,5}:{(37,1),(72,1),(76,1),(121,1)}
        56:{2,3,4,6}:{(38,1),(73,1),(77,1),(109,1),(158,1),(166,1),(192,1)}
        57:{2,3,4,7}:{(40,1),(48,1),(80,1),(84,1)}
        58:{1,2,3,5,7}:{(39,1),(42,1),(49,1),(81,1),(82,1),(83,1),(129,1),(132,1),(144,1),(177,1),(188,1)}
        59:{1,2,4,6,7}:{(39,1),(43,1),(50,1),(79,1),(81,1),(82,1),(87,1),(133,1),(204,1)}
        60:{1,2,5,7}:{(40,1),(44,1),(52,1),(80,1),(83,1)}
        61:{3,5,7}:{(41,1),(45,1),(53,1),(84,1)}
        62:{2,4,7}:{(42,1),(54,1),(84,1)}
        63:{2,3,5,7}:{(43,1),(55,1),(82,1),(85,1),(86,1),(88,1),(132,1)}
        64:{1,3,6,7}:{(44,1),(45,1),(83,1),(87,1),(179,1)}
        65:{3,4,6,7}:{(45,1),(46,1),(84,1),(87,1),(88,1),(136,1)}
        66:{2,4,5,7}:{(46,1),(88,1),(89,1)}
        67:{2,3,4,5}:{(48,1),(90,1),(99,1),(146,1),(182,1)}
        68:{1,3,4,6}:{(47,1),(50,1),(91,1),(92,1),(94,1),(143,1)}
        69:{1,3,5,7}:{(47,1),(51,1),(91,1),(92,1),(132,1)}
        70:{1,2,4,6}:{(48,1),(52,1),(80,1),(90,1),(93,1),(98,1)}
        71:{1,2,4,6}:{(49,1),(54,1),(81,1),(94,1),(95,1),(98,1),(143,1),(184,1)}
        72:{1,2,5}:{(50,1),(55,1),(91,1)}
        73:{1,2,4,6}:{(51,1),(56,1),(92,1),(96,1),(143,1)}
        74:{1,3,5,6}:{(52,1),(53,1),(83,1),(93,1),(98,1),(138,1),(147,1),(179,1)}
        75:{3,4,6}:{(53,1),(54,1),(84,1),(98,1),(99,1)}
        76:{2,4,5}:{(54,1),(55,1),(99,1)}
        77:{2,3,5,6}:{(55,1),(56,1),(96,1),(100,1),(101,1),(148,1),(202,1)}
        78:{2,3,4,6,7}:{(56,1),(97,1),(101,1),(137,1),(180,1),(186,1),(204,1)}
        79:{1,3,4,6,7}:{(59,1),(68,1),(102,1),(104,1),(117,1),(153,1),(158,1),(167,1),(193,1)}
        80:{1,2,4,7}:{(57,1),(60,1),(70,1),(103,1),(107,1)}
        81:{1,2,4,7}:{(58,1),(62,1),(71,1),(104,1),(107,1),(167,1),(199,1)}
        82:{1,2,5,7}:{(59,1),(63,1),(72,1),(102,1),(106,1),(111,1),(208,1)}
        83:{1,3,5,7}:{(60,1),(61,1),(64,1),(74,1),(103,1),(107,1),(111,1)}
        84:{3,4,7}:{(61,1),(62,1),(75,1),(107,1)}
        85:{2,4,5,7}:{(62,1),(63,1),(76,1),(108,1),(109,1)}
        86:{2,3,5,6}:{(63,1),(106,1),(109,1),(112,1),(158,1)}
        87:{1,4,6,7}:{(64,1),(65,1),(107,1),(111,1),(160,1)}
        88:{3,5,7}:{(65,1),(66,1),(111,1),(112,1)}
        89:{2,4,5,6}:{(66,1),(109,1),(112,1)}
        90:{1,2,4,5}:{(67,1),(70,1),(114,1),(124,1),(163,1),(168,1)}
        91:{1,3,5}:{(68,1),(72,1),(115,1),(121,1)}
        92:{1,3,6}:{(69,1),(73,1),(158,1)}
        93:{1,3,6}:{(70,1),(103,1),(114,1)}
        94:{3,4,6}:{(71,1),(104,1),(121,1),(158,1)}
        95:{1,2,4,5}:{(71,1),(72,1),(76,1),(115,1),(121,1),(124,1),(164,1),(168,1)}
        96:{1,2,5,6}:{(72,1),(73,1),(77,1),(116,1),(123,1)}
        97:{1,2,4,6,7}:{(73,1),(78,1),(117,1),(123,1),(167,1)}
        98:{1,4,6}:{(74,1),(75,1),(107,1),(124,1)}
        99:{3,4,5}:{(75,1),(76,1),(121,1),(124,1)}
       100:{2,4,5,6}:{(76,1),(77,1),(109,1),(125,1),(126,1)}
       101:{2,3,5,7}:{(77,1),(78,1),(123,1),(126,1),(171,1),(208,1)}
       102:{1,3,5,7}:{(79,1),(82,1),(91,1),(127,1),(128,1),(132,1),(203,1)}
       103:{1,3,7}:{(80,1),(93,1)}
       104:{3,4,7}:{(81,1),(94,1),(132,1)}
       105:{1,2,4,5,7}:{(81,1),(82,1),(85,1),(95,1),(127,1),(132,1),(133,1),(135,1),(174,1),(177,1)}
       106:{1,2,5,6}:{(82,1),(86,1),(128,1),(133,1),(138,1),(202,1)}
       107:{1,4,7}:{(83,1),(84,1),(98,1)}
       108:{3,4,5,7}:{(84,1),(85,1),(88,1),(99,1),(132,1),(135,1),(136,1)}
       109:{2,4,6}:{(85,1),(86,1),(136,1)}
       110:{2,3,5,6,7}:{(86,1),(101,1),(134,1),(137,1),(139,1),(180,1)}
       111:{1,5,7}:{(87,1),(88,1),(138,1)}
       112:{3,5,6}:{(88,1),(89,1),(136,1),(138,1)}
       113:{2,4,5,6,7}:{(89,1),(137,1),(139,1)}
       114:{1,3,5}:{(90,1),(93,1),(141,1)}
       115:{1,4,5}:{(91,1),(142,1),(143,1)}
       116:{1,3,5,6}:{(91,1),(92,1),(96,1),(143,1),(144,1),(148,1)}
       117:{1,3,6,7}:{(92,1),(97,1),(144,1),(180,1)}
       118:{1,2,3,6}:{(93,1),(129,1),(140,1),(145,1),(206,1)}
       119:{2,3,4,6}:{(94,1),(130,1),(145,1),(146,1),(178,1),(182,1),(184,1),(206,1)}
       120:{1,3,4,6}:{(93,1),(94,1),(98,1),(131,1),(141,1),(145,1),(147,1),(179,1)}
       121:{3,5}:{(94,1),(95,1)}
       122:{1,2,4,5,6}:{(95,1),(96,1),(100,1),(133,1),(143,1),(148,1),(149,1),(150,1),(173,1),(184,1),(187,1),(202,1)}
       123:{1,2,5,7}:{(96,1),(97,1),(101,1),(144,1)}
       124:{1,4,5}:{(98,1),(99,1),(147,1)}
       125:{3,4,5,6}:{(99,1),(100,1),(136,1),(148,1),(150,1),(151,1)}
       126:{2,4,5,7}:{(100,1),(101,1),(137,1),(151,1)}
       127:{1,4,5,7}:{(102,1),(115,1),(152,1),(153,1),(167,1)}
       128:{1,3,5,6}:{(102,1),(106,1),(153,1),(158,1),(190,1)}
       129:{1,2,3,7}:{(103,1),(118,1),(155,1),(209,1)}
       130:{2,3,4,7}:{(104,1),(119,1),(155,1),(156,1),(199,1),(209,1)}
       131:{1,3,4,7}:{(103,1),(104,1),(107,1),(120,1),(155,1),(157,1)}
       132:{3,5,7}:{(104,1),(105,1),(121,1),(158,1)}
       133:{1,2,4,6}:{(105,1),(106,1),(109,1),(153,1),(158,1),(160,1),(192,1),(194,1)}
       134:{1,2,5,6,7}:{(106,1),(110,1),(123,1),(154,1),(159,1),(162,1),(208,1)}
       135:{1,4,5,7}:{(107,1),(108,1),(111,1),(124,1),(157,1),(160,1)}
       136:{3,4,6}:{(108,1),(109,1),(112,1),(158,1),(160,1)}
       137:{2,4,6,7}:{(109,1),(110,1),(126,1),(161,1)}
       138:{1,5,6}:{(111,1),(112,1),(160,1)}
       139:{3,5,6,7}:{(112,1),(113,1),(161,1),(162,1)}
       140:{1,2,3,5}:{(114,1),(118,1),(163,1),(168,1),(197,1)}
       141:{1,3,4}:{(114,1),(163,1)}
       142:{3,4,5}:{(115,1),(121,1),(164,1),(166,1)}
       143:{1,4,6}:{(115,1),(116,1),(166,1),(167,1)}
       144:{1,3,5,7}:{(116,1),(117,1),(123,1),(167,1),(171,1)}
       145:{1,2,4,6}:{(118,1),(119,1),(120,1),(155,1),(163,1),(168,1),(194,1)}
       146:{2,3,5}:{(119,1),(121,1),(164,1),(168,1)}
       147:{1,3,5}:{(120,1),(121,1),(124,1),(168,1)}
       148:{3,5,6}:{(121,1),(122,1),(158,1),(166,1),(171,1)}
       149:{1,2,4,5,7}:{(122,1),(123,1),(126,1),(159,1),(167,1),(171,1),(172,1),(191,1),(199,1),(201,1),(208,1)}
       150:{1,4,5,6}:{(124,1),(125,1),(160,1),(170,1),(172,1)}
       151:{3,4,5,7}:{(125,1),(126,1),(161,1),(171,1),(172,1)}
       152:{3,4,5,7}:{(127,1),(132,1),(142,1),(174,1),(175,1),(186,1),(203,1)}
       153:{1,4,6}:{(127,1),(128,1),(175,1)}
       154:{1,3,5,6,7}:{(128,1),(134,1),(144,1),(176,1),(180,1),(203,1)}
       155:{1,2,4,7}:{(129,1),(130,1),(131,1),(145,1),(177,1)}
       156:{2,3,5,7}:{(130,1),(132,1),(146,1),(174,1),(177,1),(178,1)}
       157:{1,3,5,7}:{(131,1),(132,1),(135,1),(147,1),(177,1),(179,1)}
       158:{3,6}:{(132,1),(133,1)}
       159:{1,2,4,6,7}:{(133,1),(134,1),(137,1),(149,1),(176,1),(180,1),(181,1),(204,1),(205,1)}
       160:{1,4,6}:{(135,1),(136,1),(138,1),(179,1)}
       161:{3,4,6,7}:{(136,1),(137,1),(139,1),(151,1),(180,1),(181,1)}
       162:{1,5,6,7}:{(138,1),(139,1),(181,1)}
       163:{1,2,4}:{(140,1),(141,1),(182,1)}
       164:{2,4,5}:{(142,1),(146,1),(184,1)}
       165:{1,3,4,5}:{(141,1),(142,1),(147,1),(183,1),(185,1)}
       166:{3,4,6}:{(142,1),(143,1),(148,1),(184,1),(186,1)}
       167:{1,4,7}:{(143,1),(144,1),(186,1)}
       168:{1,2,5}:{(145,1),(146,1),(147,1)}
       169:{2,3,5,6}:{(146,1),(148,1),(178,1),(184,1),(187,1),(188,1),(202,1),(206,1)}
       170:{1,3,5,6}:{(147,1),(148,1),(150,1),(179,1),(185,1),(187,1),(189,1)}
       171:{3,5,7}:{(148,1),(149,1),(180,1),(186,1)}
       172:{1,4,5,7}:{(150,1),(151,1),(181,1),(189,1)}
       173:{1,4,5,6}:{(153,1),(190,1),(191,1)}
       174:{2,4,5,7}:{(152,1),(156,1),(164,1),(192,1),(199,1),(208,1)}
       175:{3,4,6}:{(152,1),(153,1),(158,1),(190,1),(192,1)}
       176:{1,4,6,7}:{(153,1),(154,1),(167,1),(191,1),(193,1)}
       177:{1,2,5,7}:{(155,1),(156,1),(157,1),(168,1),(194,1)}
       178:{2,3,6}:{(156,1),(158,1),(192,1),(194,1)}
       179:{1,3,6}:{(157,1),(158,1),(160,1),(194,1)}
       180:{3,6,7}:{(158,1),(159,1),(171,1)}
       181:{1,4,6,7}:{(160,1),(161,1),(162,1),(172,1),(196,1)}
       182:{2,3,4}:{(163,1),(197,1)}
       183:{1,2,4,5}:{(163,1),(164,1),(165,1),(168,1),(197,1),(198,1)}
       184:{2,4,6}:{(164,1),(166,1),(169,1),(199,1)}
       185:{1,3,4,6}:{(165,1),(166,1),(170,1),(198,1),(200,1)}
       186:{3,4,7}:{(166,1),(167,1),(171,1),(199,1)}
       187:{1,2,5,6}:{(168,1),(169,1),(170,1),(194,1),(198,1),(201,1)}
       188:{2,3,5,7}:{(169,1),(171,1),(195,1),(199,1),(201,1),(208,1),(209,1)}
       189:{1,3,5,7}:{(170,1),(171,1),(172,1),(196,1),(200,1),(201,1)}
       190:{3,5,6}:{(173,1),(175,1),(202,1),(203,1)}
       191:{1,4,5,7}:{(173,1),(176,1),(203,1)}
       192:{2,4,6}:{(174,1),(175,1),(178,1),(202,1)}
       193:{3,4,6,7}:{(175,1),(176,1),(180,1),(186,1),(203,1),(204,1)}
       194:{1,2,6}:{(177,1),(178,1),(179,1)}
       195:{2,3,6,7}:{(178,1),(180,1),(188,1),(204,1),(205,1)}
       196:{1,3,6,7}:{(179,1),(180,1),(181,1),(189,1),(205,1)}
       197:{2,3,5}:{(182,1),(183,1),(206,1)}
       198:{1,2,4,6}:{(183,1),(184,1),(185,1),(187,1),(206,1),(207,1)}
       199:{2,4,7}:{(184,1),(186,1),(188,1)}
       200:{1,3,4,7}:{(185,1),(186,1),(189,1),(207,1)}
       201:{1,2,5,7}:{(187,1),(188,1),(189,1),(205,1),(207,1)}
       202:{2,5,6}:{(190,1),(192,1),(208,1)}
       203:{3,5,7}:{(190,1),(191,1),(193,1),(208,1)}
       204:{2,4,6,7}:{(192,1),(193,1),(195,1),(199,1),(208,1)}
       205:{1,2,6,7}:{(194,1),(195,1),(196,1),(201,1)}
       206:{2,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,2,4,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       208:{2,5,7}:{(202,1),(203,1),(204,1)}
       209:{2,3,7}:{(206,1),(207,1)}

1722 :  0:{1,2,3,4,7}:{(1,1),(2,1),(27,1),(78,1)}
        1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(68,1),(69,1)}
        3:{1,3,4,5,7}:{(4,1),(7,1),(20,1),(21,1),(39,1)}
        4:{1,2,4,5,7}:{(1,1),(3,1),(8,1),(9,1),(12,1),(25,1),(27,1)}
        5:{1,2,3,6}:{(1,1),(9,1)}
        6:{1,2,3,5}:{(2,1),(12,1)}
        7:{1,3,4,6}:{(3,1),(9,1),(14,1),(28,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(20,1),(34,1),(39,1)}
        9:{1,2,4,6}:{(4,1),(5,1),(7,1),(15,1),(17,1)}
       10:{1,2,3,6,7}:{(5,1),(16,1),(18,1),(63,1),(82,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(17,1),(18,1),(19,1),(38,1),(66,1),(68,1)}
       12:{1,2,4,5}:{(6,1),(19,1),(20,1)}
       13:{1,3,4,6,7}:{(7,1),(16,1),(21,1),(39,1),(43,1),(63,1)}
       14:{1,3,5,6}:{(7,1),(17,1),(21,1),(22,1),(38,1)}
       15:{2,3,4,6}:{(8,1),(9,1),(24,1),(28,1)}
       16:{1,2,4,6,7}:{(9,1),(10,1),(13,1),(23,1),(25,1),(27,1)}
       17:{1,2,5,6}:{(9,1),(14,1),(24,1),(25,1)}
       18:{1,2,3,5,7}:{(10,1),(11,1),(25,1),(27,1),(50,1),(77,1),(78,1)}
       19:{1,2,4,6}:{(11,1),(12,1),(27,1),(28,1)}
       20:{3,4,5}:{(12,1),(28,1)}
       21:{1,3,5,7}:{(13,1),(14,1),(25,1),(32,1),(50,1)}
       22:{1,4,5,6}:{(14,1),(32,1),(33,1)}
       23:{2,3,4,6,7}:{(15,1),(16,1),(34,1),(39,1),(60,1),(63,1)}
       24:{2,3,5,6}:{(15,1),(17,1),(34,1),(35,1),(38,1)}
       25:{1,2,5,7}:{(16,1),(17,1),(21,1),(34,1)}
       26:{1,2,4,5,6}:{(17,1),(19,1),(22,1),(35,1),(37,1),(38,1),(45,1),(62,1),(66,1)}
       27:{1,2,4,7}:{(18,1),(19,1),(39,1)}
       28:{3,4,6}:{(19,1),(20,1),(38,1),(39,1)}
       29:{1,3,4,5}:{(20,1),(40,1),(42,1)}
       30:{2,3,4,5}:{(20,1),(41,1),(42,1)}
       31:{1,3,5,6,7}:{(21,1),(36,1),(43,1),(63,1),(70,1)}
       32:{1,4,5,7}:{(21,1),(22,1),(43,1),(44,1)}
       33:{3,4,5,6}:{(22,1),(38,1),(44,1),(45,1)}
       34:{2,3,5,7}:{(23,1),(24,1),(25,1),(47,1),(50,1)}
       35:{2,4,5,6}:{(24,1),(47,1),(48,1)}
       36:{1,2,5,6,7}:{(25,1),(31,1),(46,1),(49,1),(79,1),(83,1)}
       37:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(32,1),(47,1),(49,1),(50,1),(59,1),(74,1),(77,1)}
       38:{3,5,6}:{(26,1),(28,1),(50,1)}
       39:{3,4,7}:{(27,1),(28,1),(50,1)}
       40:{1,3,4,6}:{(28,1),(29,1),(51,1),(53,1),(55,1)}
       41:{2,3,4,6}:{(28,1),(30,1),(52,1),(54,1),(55,1)}
       42:{1,2,4,5}:{(29,1),(30,1),(55,1),(56,1)}
       43:{1,4,6,7}:{(31,1),(32,1),(58,1)}
       44:{3,4,5,7}:{(32,1),(33,1),(50,1),(58,1),(59,1)}
       45:{2,4,5,6}:{(33,1),(52,1),(59,1)}
       46:{2,3,5,6,7}:{(34,1),(36,1),(60,1),(63,1),(80,1)}
       47:{2,4,5,7}:{(34,1),(35,1),(60,1),(61,1)}
       48:{3,4,5,6}:{(35,1),(38,1),(61,1),(62,1)}
       49:{1,2,4,6,7}:{(36,1),(37,1),(43,1),(60,1),(63,1),(71,1),(81,1),(82,1)}
       50:{3,5,7}:{(37,1),(38,1),(39,1),(63,1)}
       51:{1,3,5,6}:{(38,1),(40,1),(62,1),(64,1),(66,1)}
       52:{2,3,5,6}:{(38,1),(41,1),(45,1),(65,1),(66,1)}
       53:{1,3,4,7}:{(39,1),(40,1),(64,1),(67,1)}
       54:{2,3,4,7}:{(39,1),(41,1),(65,1),(67,1)}
       55:{1,2,4,6}:{(40,1),(41,1),(42,1),(66,1),(67,1),(68,1)}
       56:{1,2,3,5}:{(42,1),(68,1),(69,1)}
       57:{1,4,5,6,7}:{(43,1),(70,1)}
       58:{3,4,6,7}:{(43,1),(44,1),(63,1),(70,1),(71,1)}
       59:{2,4,5,7}:{(44,1),(45,1),(65,1),(71,1)}
       60:{2,4,6,7}:{(46,1),(47,1),(73,1)}
       61:{3,4,5,7}:{(47,1),(48,1),(50,1),(73,1),(74,1)}
       62:{1,4,5,6}:{(48,1),(51,1),(74,1)}
       63:{3,6,7}:{(49,1),(50,1)}
       64:{1,3,5,7}:{(50,1),(51,1),(53,1),(74,1),(75,1),(77,1)}
       65:{2,3,5,7}:{(50,1),(52,1),(54,1),(59,1),(76,1),(77,1)}
       66:{1,2,5,6}:{(51,1),(52,1),(55,1),(77,1)}
       67:{1,2,4,7}:{(53,1),(54,1),(55,1),(77,1),(78,1)}
       68:{1,2,3,6}:{(55,1),(56,1),(78,1)}
       69:{1,2,3,4}:{(56,1)}
       70:{3,5,6,7}:{(57,1),(58,1),(79,1)}
       71:{2,4,6,7}:{(58,1),(59,1),(76,1),(79,1)}
       72:{2,4,5,6,7}:{(60,1),(80,1)}
       73:{3,4,6,7}:{(60,1),(61,1),(63,1),(80,1),(81,1)}
       74:{1,4,5,7}:{(61,1),(62,1),(64,1),(81,1)}
       75:{1,3,6,7}:{(63,1),(64,1),(81,1),(82,1)}
       76:{2,3,6,7}:{(63,1),(65,1),(71,1),(82,1)}
       77:{1,2,5,7}:{(64,1),(65,1),(66,1),(67,1),(82,1)}
       78:{1,2,3,7}:{(67,1),(68,1)}
       79:{2,5,6,7}:{(70,1),(71,1)}
       80:{3,5,6,7}:{(72,1),(73,1),(83,1)}
       81:{1,4,6,7}:{(73,1),(74,1),(75,1),(83,1)}
       82:{1,2,6,7}:{(75,1),(76,1),(77,1)}
       83:{1,5,6,7}:{(80,1),(81,1)}

1723 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(23,1),(46,1),(82,1)}
         2:{1,2,3,5}:{(0,1),(4,1),(7,1)}
         3:{1,3,4,5}:{(4,1),(8,1),(20,1)}
         4:{1,2,4,5}:{(2,1),(3,1),(9,1),(10,1)}
         5:{1,2,3,4,7}:{(1,1),(12,1),(14,1),(36,1),(95,1)}
         6:{1,2,3,5}:{(1,1),(11,1)}
         7:{1,2,3,6}:{(2,1),(10,1),(14,1)}
         8:{1,3,4,6}:{(3,1),(10,1),(15,1),(16,1),(34,1)}
         9:{2,3,4,5}:{(4,1),(17,1),(20,1)}
        10:{1,2,4,6}:{(4,1),(7,1),(8,1),(17,1),(18,1),(19,1)}
        11:{1,2,4,5}:{(6,1),(20,1),(22,1)}
        12:{1,2,3,5,7}:{(5,1),(6,1),(21,1),(23,1)}
        13:{1,2,3,5,6}:{(6,1),(7,1),(18,1),(22,1),(23,1),(24,1),(43,1),(52,1),(77,1),(82,1)}
        14:{1,2,3,7}:{(7,1),(19,1)}
        15:{1,3,5,6}:{(8,1),(18,1),(25,1),(26,1),(43,1)}
        16:{1,3,4,7}:{(8,1),(19,1),(26,1),(51,1)}
        17:{2,3,4,6}:{(9,1),(10,1),(27,1),(28,1),(34,1)}
        18:{1,2,5,6}:{(10,1),(15,1),(27,1),(30,1)}
        19:{1,2,4,7}:{(10,1),(14,1),(16,1),(28,1),(30,1)}
        20:{3,4,5}:{(11,1),(34,1)}
        21:{1,2,4,5,7}:{(11,1),(12,1),(33,1),(35,1),(36,1),(70,1)}
        22:{1,2,4,6}:{(11,1),(13,1),(34,1),(36,1)}
        23:{1,2,3,6}:{(12,1),(35,1)}
        24:{1,2,3,5,7}:{(13,1),(14,1),(30,1),(36,1),(37,1),(62,1),(70,1),(91,1),(95,1)}
        25:{1,4,5,6}:{(15,1),(38,1),(39,1)}
        26:{1,3,5,7}:{(15,1),(16,1),(30,1),(39,1),(40,1),(62,1)}
        27:{2,3,5,6}:{(17,1),(18,1),(41,1),(42,1),(43,1)}
        28:{2,3,4,7}:{(17,1),(19,1),(42,1),(51,1)}
        29:{1,2,4,5,6}:{(18,1),(22,1),(25,1),(41,1),(43,1),(44,1),(52,1),(54,1),(74,1),(77,1),(84,1)}
        30:{1,2,5,7}:{(18,1),(19,1),(26,1),(42,1),(45,1)}
        31:{2,3,4,5}:{(20,1),(47,1),(48,1)}
        32:{1,3,4,5}:{(20,1),(47,1),(49,1)}
        33:{3,4,5,7}:{(20,1),(21,1),(50,1),(51,1),(85,1)}
        34:{3,4,6}:{(20,1),(22,1),(43,1),(51,1)}
        35:{1,2,4,6}:{(21,1),(23,1),(50,1),(52,1)}
        36:{1,2,4,7}:{(22,1),(24,1),(51,1)}
        37:{1,2,3,6,7}:{(23,1),(24,1),(45,1),(53,1),(80,1),(101,1)}
        38:{3,4,5,6}:{(25,1),(43,1),(54,1),(55,1),(84,1)}
        39:{1,4,5,7}:{(25,1),(26,1),(55,1),(56,1)}
        40:{1,3,6,7}:{(26,1),(45,1),(56,1),(80,1)}
        41:{2,4,5,6}:{(27,1),(57,1),(58,1)}
        42:{2,3,5,7}:{(27,1),(28,1),(30,1),(58,1),(59,1),(62,1)}
        43:{3,5,6}:{(29,1),(34,1),(62,1)}
        44:{1,2,4,5,7}:{(29,1),(30,1),(36,1),(39,1),(58,1),(62,1),(63,1),(70,1),(71,1),(88,1),(91,1),(96,1)}
        45:{1,2,6,7}:{(30,1),(40,1),(59,1)}
        46:{1,2,3,4}:{(64,1)}
        47:{1,2,4,5}:{(31,1),(32,1),(64,1),(65,1)}
        48:{2,3,4,6}:{(31,1),(34,1),(60,1),(65,1),(66,1)}
        49:{1,3,4,6}:{(32,1),(34,1),(61,1),(65,1),(67,1)}
        50:{3,4,6}:{(33,1),(35,1),(68,1)}
        51:{3,4,7}:{(34,1),(36,1),(62,1)}
        52:{1,2,5,6}:{(35,1),(68,1),(70,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(37,1),(69,1),(70,1)}
        54:{2,4,5,6}:{(38,1),(60,1),(71,1)}
        55:{3,4,5,7}:{(38,1),(39,1),(62,1),(71,1),(72,1),(96,1)}
        56:{1,4,6,7}:{(39,1),(40,1),(72,1),(73,1)}
        57:{3,4,5,6}:{(41,1),(43,1),(74,1),(75,1),(84,1)}
        58:{2,4,5,7}:{(41,1),(42,1),(75,1),(76,1)}
        59:{2,3,6,7}:{(42,1),(45,1),(76,1),(80,1)}
        60:{2,3,5,6}:{(43,1),(48,1),(54,1),(77,1),(78,1)}
        61:{1,3,5,6}:{(43,1),(49,1),(74,1),(77,1),(79,1)}
        62:{3,5,7}:{(43,1),(44,1),(51,1),(80,1)}
        63:{1,2,4,6,7}:{(44,1),(45,1),(56,1),(76,1),(80,1),(81,1),(86,1),(99,1),(101,1),(102,1)}
        64:{1,2,3,5}:{(46,1),(47,1),(82,1)}
        65:{1,2,4,6}:{(47,1),(48,1),(49,1),(77,1),(82,1),(83,1)}
        66:{2,3,4,7}:{(48,1),(51,1),(78,1),(83,1)}
        67:{1,3,4,7}:{(49,1),(51,1),(79,1),(83,1)}
        68:{3,5,6}:{(50,1),(52,1),(84,1),(85,1)}
        69:{3,4,6,7}:{(50,1),(51,1),(53,1),(80,1),(85,1),(102,1)}
        70:{1,2,5,7}:{(52,1),(53,1),(85,1)}
        71:{2,4,5,7}:{(54,1),(55,1),(78,1),(86,1)}
        72:{3,4,6,7}:{(55,1),(56,1),(80,1),(86,1),(87,1),(102,1)}
        73:{1,5,6,7}:{(56,1),(87,1)}
        74:{1,4,5,6}:{(57,1),(61,1),(88,1)}
        75:{3,4,5,7}:{(57,1),(58,1),(62,1),(88,1),(89,1),(96,1)}
        76:{2,4,6,7}:{(58,1),(59,1),(89,1),(90,1)}
        77:{1,2,5,6}:{(60,1),(61,1),(65,1),(91,1)}
        78:{2,3,5,7}:{(60,1),(62,1),(66,1),(71,1),(91,1),(92,1)}
        79:{1,3,5,7}:{(61,1),(62,1),(67,1),(88,1),(91,1),(93,1)}
        80:{3,6,7}:{(62,1),(63,1)}
        81:{1,2,5,6,7}:{(63,1),(70,1),(73,1),(90,1),(94,1),(97,1),(103,1)}
        82:{1,2,3,6}:{(64,1),(65,1),(95,1)}
        83:{1,2,4,7}:{(65,1),(66,1),(67,1),(91,1),(95,1)}
        84:{4,5,6}:{(68,1),(96,1)}
        85:{3,5,7}:{(68,1),(69,1),(70,1),(96,1)}
        86:{2,4,6,7}:{(71,1),(72,1),(92,1),(97,1)}
        87:{3,5,6,7}:{(72,1),(73,1),(97,1),(98,1)}
        88:{1,4,5,7}:{(74,1),(75,1),(79,1),(99,1)}
        89:{3,4,6,7}:{(75,1),(76,1),(80,1),(99,1),(100,1),(102,1)}
        90:{2,5,6,7}:{(76,1),(100,1)}
        91:{1,2,5,7}:{(77,1),(78,1),(79,1),(83,1),(101,1)}
        92:{2,3,6,7}:{(78,1),(80,1),(86,1),(101,1)}
        93:{1,3,6,7}:{(79,1),(80,1),(99,1),(101,1)}
        94:{3,5,6,7}:{(80,1),(81,1),(85,1),(102,1)}
        95:{1,2,3,7}:{(82,1),(83,1)}
        96:{4,5,7}:{(84,1),(85,1),(102,1)}
        97:{2,5,6,7}:{(86,1),(87,1)}
        98:{4,5,6,7}:{(87,1),(102,1)}
        99:{1,4,6,7}:{(88,1),(89,1),(93,1),(103,1)}
       100:{3,5,6,7}:{(89,1),(90,1),(103,1),(104,1)}
       101:{1,2,6,7}:{(91,1),(92,1),(93,1)}
       102:{4,6,7}:{(94,1),(96,1)}
       103:{1,5,6,7}:{(99,1),(100,1)}
       104:{4,5,6,7}:{(100,1),(102,1)}

1724 :   0:{1,2,3,6,7}:{(3,1),(4,1),(44,1),(80,1),(81,1),(82,1),(83,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(42,1),(44,1),(50,1),(82,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(44,1),(54,1),(81,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(27,1),(61,1),(69,1),(72,1),(94,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(28,1),(65,1),(66,1),(90,1),(91,1),(93,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(11,1),(28,1),(60,1),(67,1)}
         6:{1,3,5,7}:{(2,1),(8,1),(12,1),(13,1),(28,1),(59,1),(70,1)}
         7:{1,2,3,5,6}:{(4,1),(14,1),(15,1),(40,1),(44,1),(77,1),(78,1),(79,1),(80,1),(83,1)}
         8:{1,2,5,7}:{(3,1),(5,1),(6,1),(15,1),(79,1),(84,1),(85,1)}
         9:{1,2,4,7}:{(4,1),(14,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(15,1),(19,1),(44,1),(49,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(75,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(15,1),(22,1),(44,1),(53,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(74,1),(95,1)}
        14:{1,2,4,6}:{(7,1),(9,1),(24,1),(25,1),(87,1),(88,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(12,1),(27,1),(68,1),(71,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(11,1),(13,1),(24,1),(27,1),(28,1),(34,1),(38,1),(65,1),(89,1),(101,1)}
        17:{3,4,7}:{(9,1),(25,1),(28,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(26,1),(32,1),(62,1),(67,1),(91,1)}
        19:{2,4,6}:{(10,1),(11,1),(33,1)}
        20:{3,4,5,7}:{(11,1),(28,1),(33,1),(34,1),(56,1),(67,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(26,1),(36,1),(62,1),(70,1),(90,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(28,1),(37,1),(38,1),(56,1),(70,1),(86,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(74,1),(75,1),(79,1)}
        25:{3,4,6}:{(14,1),(17,1),(40,1),(44,1)}
        26:{1,2,5,6,7}:{(15,1),(18,1),(21,1),(43,1),(84,1),(85,1),(99,1)}
        27:{1,2,4,6}:{(15,1),(16,1),(19,1),(22,1),(44,1),(51,1),(55,1),(83,1)}
        28:{3,5,7}:{(16,1),(17,1),(40,1),(44,1),(98,1),(104,1)}
        29:{1,3,4,7}:{(17,1),(41,1),(45,1),(47,1),(95,1),(104,1)}
        30:{2,3,4,7}:{(17,1),(42,1),(46,1),(47,1),(96,1),(104,1)}
        31:{2,4,5,6}:{(19,1),(48,1),(49,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(48,1),(50,1),(96,1)}
        33:{3,4,6}:{(19,1),(20,1),(44,1),(49,1),(51,1)}
        34:{1,4,5,7}:{(20,1),(45,1),(51,1),(74,1),(84,1),(95,1)}
        35:{1,4,5,6}:{(22,1),(52,1),(53,1)}
        36:{1,4,6,7}:{(21,1),(22,1),(52,1),(54,1),(95,1)}
        37:{3,4,6}:{(22,1),(23,1),(44,1),(53,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(46,1),(55,1),(75,1),(85,1),(96,1)}
        39:{1,2,4,5,6}:{(24,1),(27,1),(31,1),(35,1),(57,1),(58,1),(68,1),(71,1),(87,1),(88,1),(92,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(29,1),(59,1),(61,1),(63,1),(87,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(30,1),(60,1),(61,1),(64,1),(88,1),(102,1),(103,1)}
        43:{1,2,4,6,7}:{(26,1),(27,1),(32,1),(36,1),(57,1),(62,1),(69,1),(72,1),(94,1),(101,1)}
        44:{3,6}:{(27,1),(28,1)}
        45:{1,3,5,7}:{(28,1),(29,1),(34,1),(59,1),(63,1),(65,1)}
        46:{2,3,5,7}:{(28,1),(30,1),(38,1),(60,1),(64,1),(65,1)}
        47:{1,2,4,7}:{(29,1),(30,1),(61,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(31,1),(32,1),(67,1)}
        49:{3,5,6}:{(31,1),(33,1),(67,1),(68,1)}
        50:{3,4,6,7}:{(32,1),(33,1),(62,1),(67,1),(69,1),(86,1)}
        51:{1,4,6}:{(33,1),(34,1),(63,1),(68,1)}
        52:{1,4,5,7}:{(35,1),(36,1),(70,1)}
        53:{3,5,6}:{(35,1),(37,1),(70,1),(71,1)}
        54:{3,4,6,7}:{(36,1),(37,1),(62,1),(70,1),(72,1),(86,1)}
        55:{2,4,6}:{(37,1),(38,1),(64,1),(71,1)}
        56:{3,4,5}:{(40,1),(73,1),(74,1),(75,1),(98,1)}
        57:{1,2,4,5,7}:{(39,1),(43,1),(48,1),(52,1),(76,1),(84,1),(85,1),(95,1),(96,1),(99,1)}
        58:{3,5,6}:{(39,1),(40,1),(44,1),(73,1),(76,1)}
        59:{1,3,5}:{(40,1),(41,1),(74,1),(79,1),(98,1)}
        60:{2,3,5}:{(40,1),(42,1),(75,1),(79,1),(98,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(47,1),(79,1),(80,1),(83,1),(100,1)}
        62:{3,6,7}:{(43,1),(44,1),(76,1),(104,1)}
        63:{1,3,6}:{(44,1),(45,1),(51,1),(83,1)}
        64:{2,3,6}:{(44,1),(46,1),(55,1),(83,1)}
        65:{1,2,5,7}:{(45,1),(46,1),(47,1),(79,1),(83,1)}
        66:{1,2,3,7}:{(47,1),(80,1),(104,1)}
        67:{3,5,7}:{(48,1),(49,1),(50,1),(84,1)}
        68:{1,5,6}:{(49,1),(51,1),(84,1)}
        69:{1,4,6,7}:{(50,1),(51,1),(81,1),(84,1),(95,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{2,5,6}:{(53,1),(55,1),(85,1)}
        72:{2,4,6,7}:{(54,1),(55,1),(82,1),(85,1),(96,1)}
        73:{3,4,6}:{(56,1),(58,1),(86,1),(87,1),(88,1),(102,1)}
        74:{1,4,5}:{(56,1),(59,1),(87,1)}
        75:{2,4,5}:{(56,1),(60,1),(88,1)}
        76:{3,5,7}:{(57,1),(58,1),(62,1),(86,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(68,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(64,1),(71,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(66,1),(93,1),(102,1)}
        81:{1,3,6,7}:{(62,1),(63,1),(69,1),(90,1),(94,1)}
        82:{2,3,6,7}:{(62,1),(64,1),(72,1),(91,1),(94,1)}
        83:{1,2,6}:{(63,1),(64,1),(65,1)}
        84:{1,5,7}:{(67,1),(68,1),(69,1)}
        85:{2,5,7}:{(70,1),(71,1),(72,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        88:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(74,1),(75,1),(79,1),(97,1),(98,1),(100,1)}
        90:{1,3,5,7}:{(76,1),(77,1),(81,1),(84,1),(95,1),(99,1),(104,1)}
        91:{2,3,5,7}:{(76,1),(78,1),(82,1),(85,1),(96,1),(99,1),(104,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(83,1),(97,1),(99,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(98,1),(100,1)}
        94:{1,2,6,7}:{(81,1),(82,1),(83,1),(99,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,4,6}:{(87,1),(88,1),(89,1),(92,1),(101,1),(102,1)}
        98:{3,5}:{(89,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(90,1),(91,1),(92,1),(94,1),(101,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1725 :   0:{1,3,4,6,7}:{(2,1),(3,1),(14,1),(39,1),(42,1),(45,1),(70,1),(73,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(40,1),(42,1),(45,1),(71,1),(74,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(26,1),(29,1),(55,1),(56,1),(84,1),(87,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(30,1),(49,1),(85,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(8,1),(10,1),(30,1),(50,1),(86,1)}
         5:{1,3,5,6}:{(3,1),(13,1),(14,1),(36,1),(42,1)}
         6:{2,3,5,6}:{(4,1),(13,1),(15,1),(37,1),(42,1)}
         7:{1,2,3,6,7}:{(2,1),(16,1),(42,1),(70,1),(71,1),(75,1),(96,1),(101,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(4,1),(13,1),(65,1),(66,1),(95,1)}
         9:{1,4,5,7}:{(3,1),(14,1),(18,1),(89,1),(92,1)}
        10:{2,4,5,7}:{(4,1),(15,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(5,1),(22,1),(23,1),(49,1),(54,1),(78,1)}
        12:{2,3,5,6,7}:{(6,1),(22,1),(24,1),(50,1),(54,1),(79,1)}
        13:{1,2,5,6}:{(5,1),(6,1),(8,1),(26,1),(52,1),(53,1)}
        14:{1,4,6}:{(5,1),(9,1),(27,1)}
        15:{2,4,6}:{(6,1),(10,1),(28,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(25,1),(29,1),(30,1),(63,1),(78,1),(79,1),(88,1),(100,1)}
        17:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(26,1),(29,1),(30,1),(31,1),(32,1),(57,1),(63,1),(97,1),(98,1)}
        18:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(49,1),(77,1),(80,1)}
        19:{3,4,5,7}:{(10,1),(28,1),(30,1),(32,1),(50,1),(77,1),(80,1)}
        20:{1,4,5,6}:{(14,1),(33,1),(36,1)}
        21:{2,4,5,6}:{(15,1),(34,1),(37,1)}
        22:{1,2,5,6,7}:{(11,1),(12,1),(13,1),(38,1),(65,1),(66,1),(91,1)}
        23:{1,4,6,7}:{(11,1),(14,1),(33,1),(39,1),(89,1)}
        24:{2,4,6,7}:{(12,1),(15,1),(34,1),(40,1),(90,1)}
        25:{1,2,3,5,6}:{(13,1),(16,1),(41,1),(42,1),(68,1),(69,1),(72,1),(75,1),(95,1),(96,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(42,1),(43,1),(44,1),(75,1)}
        27:{3,4,6}:{(14,1),(18,1),(36,1),(42,1),(43,1)}
        28:{3,4,6}:{(15,1),(19,1),(37,1),(42,1),(44,1)}
        29:{1,2,4,7}:{(16,1),(41,1),(45,1),(89,1),(90,1),(103,1)}
        30:{3,5,7}:{(17,1),(42,1),(45,1),(72,1),(101,1),(102,1)}
        31:{2,4,5,7}:{(18,1),(43,1),(47,1),(65,1),(90,1),(93,1)}
        32:{1,4,5,7}:{(19,1),(44,1),(46,1),(66,1),(89,1),(92,1)}
        33:{1,4,5,7}:{(20,1),(23,1),(49,1)}
        34:{2,4,5,7}:{(21,1),(24,1),(50,1)}
        35:{1,2,4,5,6}:{(20,1),(21,1),(26,1),(48,1),(51,1),(52,1),(53,1),(57,1),(81,1),(82,1),(83,1)}
        36:{3,5,6}:{(20,1),(27,1),(49,1),(52,1)}
        37:{3,5,6}:{(21,1),(28,1),(50,1),(53,1)}
        38:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(26,1),(48,1),(54,1),(55,1),(56,1),(84,1),(97,1)}
        39:{3,4,6,7}:{(23,1),(27,1),(49,1),(54,1),(55,1),(77,1)}
        40:{3,4,6,7}:{(24,1),(28,1),(50,1),(54,1),(56,1),(77,1)}
        41:{1,2,4,6}:{(25,1),(29,1),(57,1),(58,1),(81,1),(82,1)}
        42:{3,6}:{(26,1),(30,1)}
        43:{2,4,6}:{(27,1),(31,1),(52,1),(60,1)}
        44:{1,4,6}:{(28,1),(32,1),(53,1),(59,1)}
        45:{3,4,7}:{(29,1),(30,1),(58,1),(104,1)}
        46:{1,3,5,7}:{(30,1),(32,1),(59,1),(61,1),(63,1),(85,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(60,1),(62,1),(63,1),(86,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(38,1),(64,1),(65,1),(66,1),(89,1),(90,1),(91,1)}
        49:{3,5,7}:{(33,1),(36,1),(39,1),(65,1)}
        50:{3,5,7}:{(34,1),(37,1),(40,1),(66,1)}
        51:{3,5,6}:{(35,1),(42,1),(64,1),(67,1),(72,1)}
        52:{2,5,6}:{(36,1),(43,1),(65,1)}
        53:{1,5,6}:{(37,1),(44,1),(66,1)}
        54:{3,6,7}:{(38,1),(42,1),(64,1),(101,1)}
        55:{2,4,6,7}:{(39,1),(43,1),(65,1),(71,1),(90,1)}
        56:{1,4,6,7}:{(40,1),(44,1),(66,1),(70,1),(89,1)}
        57:{1,2,4,5}:{(41,1),(72,1),(92,1),(93,1),(95,1)}
        58:{3,4,6}:{(41,1),(42,1),(45,1),(72,1)}
        59:{1,3,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{2,3,6}:{(42,1),(43,1),(47,1),(75,1)}
        61:{1,3,4,7}:{(45,1),(46,1),(73,1),(76,1),(89,1),(101,1)}
        62:{2,3,4,7}:{(45,1),(47,1),(74,1),(76,1),(90,1),(101,1)}
        63:{1,2,5,7}:{(46,1),(47,1),(75,1),(76,1),(95,1)}
        64:{3,5,7}:{(48,1),(51,1),(54,1),(77,1)}
        65:{2,5,7}:{(49,1),(52,1),(55,1)}
        66:{1,5,7}:{(50,1),(53,1),(56,1)}
        67:{3,4,6}:{(51,1),(77,1),(80,1),(81,1),(82,1),(99,1)}
        68:{1,3,5,6}:{(51,1),(53,1),(59,1),(78,1),(81,1),(83,1),(85,1),(99,1)}
        69:{2,3,5,6}:{(51,1),(52,1),(60,1),(79,1),(82,1),(83,1),(86,1),(99,1)}
        70:{1,3,6,7}:{(54,1),(56,1),(59,1),(78,1),(84,1)}
        71:{2,3,6,7}:{(54,1),(55,1),(60,1),(79,1),(84,1)}
        72:{3,5}:{(57,1),(58,1)}
        73:{1,3,4,6}:{(58,1),(59,1),(61,1),(81,1),(85,1),(87,1),(99,1),(104,1)}
        74:{2,3,4,6}:{(58,1),(60,1),(62,1),(82,1),(86,1),(87,1),(99,1),(104,1)}
        75:{1,2,6}:{(59,1),(60,1),(63,1)}
        76:{1,2,4,7}:{(61,1),(62,1),(63,1),(87,1),(88,1)}
        77:{3,4,7}:{(64,1),(67,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(66,1),(68,1),(70,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(69,1),(71,1),(90,1),(91,1),(101,1)}
        80:{3,4,5}:{(67,1),(72,1),(92,1),(93,1),(102,1)}
        81:{1,4,6}:{(67,1),(68,1),(89,1),(92,1)}
        82:{2,4,6}:{(67,1),(69,1),(90,1),(93,1)}
        83:{1,2,5,6}:{(68,1),(69,1),(75,1),(91,1),(94,1),(95,1)}
        84:{1,2,6,7}:{(70,1),(71,1),(75,1),(91,1)}
        85:{1,3,5}:{(72,1),(73,1),(92,1),(95,1),(102,1)}
        86:{2,3,5}:{(72,1),(74,1),(93,1),(95,1),(102,1)}
        87:{1,2,4,6}:{(73,1),(74,1),(75,1),(76,1),(95,1),(96,1),(103,1)}
        88:{1,2,3,7}:{(76,1),(96,1),(101,1)}
        89:{1,4,7}:{(77,1),(78,1),(81,1)}
        90:{2,4,7}:{(77,1),(79,1),(82,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(83,1),(84,1),(97,1)}
        92:{1,4,5}:{(80,1),(81,1),(85,1)}
        93:{2,4,5}:{(80,1),(82,1),(86,1)}
        94:{1,2,4,6}:{(81,1),(82,1),(83,1),(97,1),(98,1),(99,1)}
        95:{1,2,5}:{(85,1),(86,1),(87,1)}
        96:{1,2,3,6}:{(87,1),(88,1),(99,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(94,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
        99:{3,6}:{(94,1),(101,1),(102,1)}
       100:{1,2,3,5}:{(95,1),(96,1),(102,1),(103,1)}
       101:{3,7}:{(97,1),(99,1)}
       102:{3,5}:{(98,1),(99,1),(104,1)}
       103:{1,2,4}:{(100,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1726 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(7,1),(18,1),(20,1),(23,1),(46,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(7,1)}
         3:{1,3,4,5}:{(6,1),(8,1),(19,1)}
         4:{1,2,3,5}:{(1,1),(10,1)}
         5:{1,2,3,4,7}:{(1,1),(12,1),(14,1),(36,1),(63,1)}
         6:{1,2,4,5}:{(2,1),(3,1),(9,1),(13,1)}
         7:{1,2,3,6}:{(2,1),(13,1),(14,1)}
         8:{1,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(33,1)}
         9:{2,3,4,5}:{(6,1),(17,1),(19,1)}
        10:{1,2,4,5}:{(4,1),(19,1),(20,1)}
        11:{1,2,3,5,6}:{(4,1),(7,1),(20,1),(22,1),(23,1),(24,1),(46,1),(49,1),(54,1),(79,1)}
        12:{1,2,3,5,7}:{(4,1),(5,1),(21,1),(23,1)}
        13:{1,2,4,6}:{(6,1),(7,1),(8,1),(17,1),(24,1),(25,1)}
        14:{1,2,3,7}:{(7,1),(25,1)}
        15:{1,3,5,6}:{(8,1),(24,1),(26,1),(27,1),(49,1)}
        16:{1,3,4,7}:{(8,1),(25,1),(27,1),(50,1)}
        17:{2,3,4,6}:{(9,1),(13,1),(28,1),(29,1),(33,1)}
        18:{1,2,3,4}:{(30,1)}
        19:{3,4,5}:{(10,1),(33,1)}
        20:{1,2,4,6}:{(10,1),(11,1),(33,1),(36,1)}
        21:{1,2,4,5,7}:{(10,1),(12,1),(34,1),(36,1),(37,1),(72,1)}
        22:{1,2,3,5,7}:{(11,1),(14,1),(36,1),(38,1),(39,1),(63,1),(68,1),(72,1),(92,1)}
        23:{1,2,3,6}:{(12,1),(37,1)}
        24:{1,2,5,6}:{(13,1),(15,1),(28,1),(39,1)}
        25:{1,2,4,7}:{(13,1),(14,1),(16,1),(29,1),(39,1)}
        26:{1,4,5,6}:{(15,1),(40,1),(41,1)}
        27:{1,3,5,7}:{(15,1),(16,1),(39,1),(41,1),(42,1),(68,1)}
        28:{2,3,5,6}:{(17,1),(24,1),(43,1),(44,1),(49,1)}
        29:{2,3,4,7}:{(17,1),(25,1),(44,1),(50,1)}
        30:{1,2,3,5}:{(18,1),(45,1),(46,1)}
        31:{1,3,4,5}:{(19,1),(45,1),(47,1)}
        32:{2,3,4,5}:{(19,1),(45,1),(48,1)}
        33:{3,4,6}:{(19,1),(20,1),(49,1),(50,1)}
        34:{3,4,5,7}:{(19,1),(21,1),(50,1),(51,1),(84,1)}
        35:{1,2,4,5,6}:{(20,1),(24,1),(26,1),(43,1),(49,1),(52,1),(54,1),(56,1),(76,1),(79,1),(85,1)}
        36:{1,2,4,7}:{(20,1),(22,1),(50,1)}
        37:{1,2,4,6}:{(21,1),(23,1),(51,1),(54,1)}
        38:{1,2,3,6,7}:{(22,1),(23,1),(53,1),(55,1),(83,1),(101,1)}
        39:{1,2,5,7}:{(24,1),(25,1),(27,1),(44,1),(55,1)}
        40:{3,4,5,6}:{(26,1),(49,1),(56,1),(57,1),(85,1)}
        41:{1,4,5,7}:{(26,1),(27,1),(57,1),(58,1)}
        42:{1,3,6,7}:{(27,1),(55,1),(58,1),(83,1)}
        43:{2,4,5,6}:{(28,1),(59,1),(60,1)}
        44:{2,3,5,7}:{(28,1),(29,1),(39,1),(60,1),(61,1),(68,1)}
        45:{1,2,4,5}:{(30,1),(31,1),(32,1),(62,1)}
        46:{1,2,3,6}:{(30,1),(62,1),(63,1)}
        47:{1,3,4,6}:{(31,1),(33,1),(62,1),(64,1),(65,1)}
        48:{2,3,4,6}:{(32,1),(33,1),(62,1),(66,1),(67,1)}
        49:{3,5,6}:{(33,1),(35,1),(68,1)}
        50:{3,4,7}:{(33,1),(36,1),(68,1)}
        51:{3,4,6}:{(34,1),(37,1),(70,1)}
        52:{1,2,4,5,7}:{(35,1),(36,1),(39,1),(41,1),(60,1),(68,1),(71,1),(72,1),(73,1),(89,1),(92,1),(96,1)}
        53:{1,2,4,6,7}:{(36,1),(37,1),(38,1),(69,1),(72,1)}
        54:{1,2,5,6}:{(37,1),(70,1),(72,1)}
        55:{1,2,6,7}:{(39,1),(42,1),(61,1)}
        56:{2,4,5,6}:{(40,1),(66,1),(73,1)}
        57:{3,4,5,7}:{(40,1),(41,1),(68,1),(73,1),(74,1),(96,1)}
        58:{1,4,6,7}:{(41,1),(42,1),(74,1),(75,1)}
        59:{3,4,5,6}:{(43,1),(49,1),(76,1),(77,1),(85,1)}
        60:{2,4,5,7}:{(43,1),(44,1),(77,1),(78,1)}
        61:{2,3,6,7}:{(44,1),(55,1),(78,1),(83,1)}
        62:{1,2,4,6}:{(45,1),(46,1),(47,1),(48,1),(79,1),(80,1)}
        63:{1,2,3,7}:{(46,1),(80,1)}
        64:{1,3,5,6}:{(47,1),(49,1),(76,1),(79,1),(81,1)}
        65:{1,3,4,7}:{(47,1),(50,1),(80,1),(81,1)}
        66:{2,3,5,6}:{(48,1),(49,1),(56,1),(79,1),(82,1)}
        67:{2,3,4,7}:{(48,1),(50,1),(80,1),(82,1)}
        68:{3,5,7}:{(49,1),(50,1),(52,1),(83,1)}
        69:{3,4,6,7}:{(50,1),(51,1),(53,1),(83,1),(84,1),(102,1)}
        70:{3,5,6}:{(51,1),(54,1),(84,1),(85,1)}
        71:{1,2,4,6,7}:{(52,1),(55,1),(58,1),(78,1),(83,1),(86,1),(87,1),(99,1),(101,1),(102,1)}
        72:{1,2,5,7}:{(53,1),(54,1),(84,1)}
        73:{2,4,5,7}:{(56,1),(57,1),(82,1),(87,1)}
        74:{3,4,6,7}:{(57,1),(58,1),(83,1),(87,1),(88,1),(102,1)}
        75:{1,5,6,7}:{(58,1),(88,1)}
        76:{1,4,5,6}:{(59,1),(64,1),(89,1)}
        77:{3,4,5,7}:{(59,1),(60,1),(68,1),(89,1),(90,1),(96,1)}
        78:{2,4,6,7}:{(60,1),(61,1),(90,1),(91,1)}
        79:{1,2,5,6}:{(62,1),(64,1),(66,1),(92,1)}
        80:{1,2,4,7}:{(62,1),(63,1),(65,1),(67,1),(92,1)}
        81:{1,3,5,7}:{(64,1),(65,1),(68,1),(89,1),(92,1),(93,1)}
        82:{2,3,5,7}:{(66,1),(67,1),(68,1),(73,1),(92,1),(94,1)}
        83:{3,6,7}:{(68,1),(71,1)}
        84:{3,5,7}:{(69,1),(70,1),(72,1),(96,1)}
        85:{4,5,6}:{(70,1),(96,1)}
        86:{1,2,5,6,7}:{(71,1),(72,1),(75,1),(91,1),(95,1),(97,1),(103,1)}
        87:{2,4,6,7}:{(73,1),(74,1),(94,1),(97,1)}
        88:{3,5,6,7}:{(74,1),(75,1),(97,1),(98,1)}
        89:{1,4,5,7}:{(76,1),(77,1),(81,1),(99,1)}
        90:{3,4,6,7}:{(77,1),(78,1),(83,1),(99,1),(100,1),(102,1)}
        91:{2,5,6,7}:{(78,1),(100,1)}
        92:{1,2,5,7}:{(79,1),(80,1),(81,1),(82,1),(101,1)}
        93:{1,3,6,7}:{(81,1),(83,1),(99,1),(101,1)}
        94:{2,3,6,7}:{(82,1),(83,1),(87,1),(101,1)}
        95:{3,5,6,7}:{(83,1),(84,1),(86,1),(102,1)}
        96:{4,5,7}:{(84,1),(85,1),(102,1)}
        97:{2,5,6,7}:{(87,1),(88,1)}
        98:{4,5,6,7}:{(88,1),(102,1)}
        99:{1,4,6,7}:{(89,1),(90,1),(93,1),(103,1)}
       100:{3,5,6,7}:{(90,1),(91,1),(103,1),(104,1)}
       101:{1,2,6,7}:{(92,1),(93,1),(94,1)}
       102:{4,6,7}:{(95,1),(96,1)}
       103:{1,5,6,7}:{(99,1),(100,1)}
       104:{4,5,6,7}:{(100,1),(102,1)}

1727 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(57,1),(63,1)}
         1:{1,2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(49,1),(52,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(28,1),(48,1),(53,1)}
         3:{1,3,5,6}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(40,1),(43,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(44,1)}
         6:{1,2,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(47,1),(49,1)}
         7:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,2,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(34,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(35,1),(48,1)}
        11:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
        12:{1,2,3,5,7}:{(6,1),(8,1),(20,1),(21,1),(37,1),(40,1)}
        13:{1,3,4,5}:{(7,1),(19,1)}
        14:{1,3,4,7}:{(7,1),(8,1),(20,1)}
        15:{1,3,6,7}:{(8,1),(9,1)}
        16:{1,2,5,6,7}:{(9,1),(10,1),(24,1),(40,1)}
        17:{2,4,5,6,7}:{(10,1),(26,1),(58,1)}
        18:{2,3,4,6}:{(11,1),(27,1),(28,1),(47,1)}
        19:{1,2,4,5}:{(11,1),(13,1),(27,1)}
        20:{1,2,4,7}:{(11,1),(12,1),(14,1),(28,1)}
        21:{1,2,3,6,7}:{(12,1),(15,1),(30,1),(47,1)}
        22:{1,3,4,5,7}:{(13,1),(14,1),(29,1),(32,1),(33,1),(68,1)}
        23:{1,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1),(51,1)}
        24:{1,3,5,6,7}:{(15,1),(16,1),(33,1),(34,1),(35,1)}
        25:{1,2,4,5,6,7}:{(16,1),(17,1),(34,1),(35,1),(36,1),(50,1),(55,1),(56,1)}
        26:{3,4,5,6,7}:{(17,1),(35,1),(36,1),(68,1)}
        27:{2,3,5}:{(18,1),(19,1)}
        28:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(39,1),(40,1),(58,1)}
        30:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(39,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(24,1),(40,1),(41,1),(46,1),(57,1),(60,1),(80,1),(82,1),(83,1)}
        32:{1,3,4,6}:{(22,1),(39,1),(42,1),(77,1)}
        33:{1,3,5,7}:{(23,1),(40,1),(42,1),(43,1),(60,1)}
        34:{1,4,6,7}:{(24,1),(43,1),(44,1)}
        35:{3,5,6,7}:{(25,1),(44,1),(60,1)}
        36:{1,4,5,6,7}:{(26,1),(45,1),(78,1)}
        37:{2,3,5,7}:{(27,1),(28,1),(29,1),(47,1)}
        38:{2,3,4,6,7}:{(28,1),(30,1),(47,1),(48,1),(51,1),(67,1)}
        39:{1,2,4,6}:{(29,1),(32,1),(47,1),(49,1),(67,1)}
        40:{1,2,5,7}:{(30,1),(33,1),(48,1),(49,1)}
        41:{1,2,4,6,7}:{(31,1),(34,1),(50,1),(51,1),(55,1),(67,1),(86,1)}
        42:{1,3,5,6}:{(32,1),(33,1),(49,1),(52,1),(69,1)}
        43:{1,4,5,7}:{(33,1),(34,1),(52,1),(53,1)}
        44:{3,4,6,7}:{(34,1),(35,1),(53,1),(55,1)}
        45:{1,3,5,6,7}:{(35,1),(36,1),(54,1),(56,1),(70,1)}
        46:{2,3,5,6,7}:{(35,1),(55,1),(56,1),(71,1),(76,1)}
        47:{2,3,6}:{(37,1),(39,1)}
        48:{2,3,5,7}:{(38,1),(40,1),(57,1),(58,1),(60,1)}
        49:{1,2,5,6}:{(39,1),(40,1),(42,1),(57,1)}
        50:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(58,1),(59,1),(60,1),(65,1),(78,1),(82,1)}
        51:{3,4,6,7}:{(41,1),(60,1),(77,1)}
        52:{1,4,5,6}:{(42,1),(43,1),(63,1)}
        53:{3,4,5,7}:{(43,1),(44,1),(60,1),(63,1),(65,1)}
        54:{1,3,4,6,7}:{(44,1),(45,1),(64,1),(66,1)}
        55:{2,4,6,7}:{(44,1),(46,1),(65,1)}
        56:{1,2,5,6,7}:{(45,1),(46,1),(66,1),(82,1)}
        57:{2,3,5,6}:{(47,1),(48,1),(49,1),(67,1),(69,1)}
        58:{2,4,5,7}:{(48,1),(67,1),(68,1)}
        59:{1,2,4,5,6}:{(49,1),(50,1),(52,1),(67,1),(69,1),(74,1),(86,1),(89,1)}
        60:{3,5,7}:{(50,1),(51,1),(69,1)}
        61:{1,3,4,6,7}:{(51,1),(70,1),(72,1),(86,1),(98,1),(99,1)}
        62:{2,3,4,6,7}:{(51,1),(55,1),(71,1),(72,1),(76,1),(87,1),(92,1)}
        63:{3,4,5,6}:{(52,1),(53,1),(69,1),(74,1)}
        64:{1,3,4,5,7}:{(53,1),(54,1),(70,1),(73,1),(75,1),(99,1)}
        65:{2,4,5,7}:{(53,1),(55,1),(71,1),(74,1)}
        66:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(75,1),(76,1)}
        67:{2,4,6}:{(57,1),(58,1),(77,1)}
        68:{3,4,5,7}:{(58,1),(60,1),(77,1),(78,1)}
        69:{3,5,6}:{(59,1),(60,1),(77,1)}
        70:{1,3,5,7}:{(60,1),(61,1),(78,1),(80,1),(82,1)}
        71:{2,3,5,7}:{(60,1),(62,1),(65,1),(81,1),(82,1)}
        72:{1,2,4,6,7}:{(61,1),(62,1),(82,1),(83,1),(93,1),(96,1)}
        73:{1,3,4,5,6}:{(63,1),(64,1),(80,1),(84,1),(102,1)}
        74:{2,4,5,6}:{(63,1),(65,1),(81,1)}
        75:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(82,1),(84,1),(85,1),(96,1)}
        76:{2,3,6,7}:{(66,1),(85,1)}
        77:{3,4,6}:{(67,1),(68,1),(69,1),(86,1)}
        78:{1,4,5,7}:{(68,1),(70,1),(86,1)}
        79:{2,3,4,5,7}:{(68,1),(71,1),(87,1),(88,1),(92,1),(101,1)}
        80:{1,3,5,6}:{(69,1),(70,1),(86,1),(89,1),(98,1)}
        81:{2,3,5,6}:{(69,1),(71,1),(74,1),(87,1),(89,1)}
        82:{1,2,5,7}:{(70,1),(71,1),(72,1),(89,1)}
        83:{1,2,3,6,7}:{(72,1),(76,1),(90,1),(98,1)}
        84:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(89,1),(91,1),(100,1)}
        85:{2,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,4,6}:{(77,1),(78,1),(80,1)}
        87:{2,3,4,6}:{(77,1),(79,1),(81,1),(93,1)}
        88:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(93,1),(94,1),(96,1),(103,1)}
        89:{1,2,5,6}:{(80,1),(81,1),(82,1),(93,1)}
        90:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(94,1),(95,1),(96,1)}
        91:{2,3,5,6}:{(84,1),(85,1),(97,1)}
        92:{2,3,4,7}:{(85,1),(96,1),(97,1)}
        93:{1,2,4,6}:{(86,1),(87,1),(88,1),(89,1),(98,1)}
        94:{1,3,5,7}:{(88,1),(98,1),(99,1),(104,1)}
        95:{1,2,3,5,6}:{(89,1),(90,1),(91,1),(98,1),(100,1),(104,1)}
        96:{1,2,4,7}:{(90,1),(92,1),(99,1),(100,1)}
        97:{2,3,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{1,3,6}:{(93,1),(94,1)}
        99:{1,3,4,7}:{(94,1),(96,1),(102,1)}
       100:{1,2,4,6}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{2,3,4,5}:{(97,1),(103,1)}
       102:{1,3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       103:{1,2,4,5}:{(100,1),(101,1),(104,1)}
       104:{1,3,5}:{(102,1),(103,1)}

1728 :   0:{2,3,4,5,7}:{(4,1),(5,1),(7,1),(53,1),(65,1),(68,1),(102,1),(110,1),(116,1),(124,1)}
         1:{2,3,4,6,7}:{(5,1),(6,1),(7,1),(9,1),(33,1),(68,1),(73,1)}
         2:{2,3,5,6,7}:{(7,1),(8,1),(9,1),(10,1),(33,1),(64,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(107,1)}
         4:{1,2,4,5,7}:{(0,1),(11,1),(12,1),(15,1),(35,1),(46,1),(78,1),(82,1)}
         5:{2,3,4,6}:{(0,1),(12,1),(13,1),(83,1),(90,1),(144,1),(151,1)}
         6:{1,2,4,6,7}:{(1,1),(12,1),(14,1),(15,1),(46,1)}
         7:{2,3,5,7}:{(1,1),(13,1),(15,1),(16,1),(47,1),(100,1)}
         8:{1,2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(20,1),(86,1),(100,1)}
         9:{2,4,6,7}:{(2,1),(16,1),(19,1),(90,1)}
        10:{3,5,6,7}:{(3,1),(19,1),(20,1),(137,1)}
        11:{1,3,5,7}:{(4,1),(22,1),(23,1),(58,1),(116,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(23,1),(24,1),(59,1)}
        13:{2,3,5,6}:{(5,1),(7,1),(24,1),(25,1),(60,1),(102,1),(127,1)}
        14:{1,3,6,7}:{(6,1),(23,1),(29,1),(33,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(24,1),(29,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(25,1),(31,1)}
        17:{1,3,5,6,7}:{(8,1),(29,1),(32,1),(33,1),(66,1),(72,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(30,1),(32,1),(33,1),(34,1),(73,1),(74,1),(115,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(31,1),(33,1),(34,1),(120,1)}
        20:{1,5,6,7}:{(10,1),(34,1),(163,1)}
        21:{1,2,3,5,7}:{(11,1),(35,1),(36,1),(75,1),(78,1)}
        22:{1,3,4,7}:{(11,1),(35,1),(38,1),(46,1),(88,1)}
        23:{1,3,6}:{(11,1),(12,1),(144,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(15,1),(39,1),(78,1)}
        25:{2,4,5,6}:{(13,1),(16,1),(41,1),(90,1),(130,1)}
        26:{1,2,3,6,7}:{(14,1),(36,1),(42,1),(43,1),(52,1),(128,1),(144,1),(187,1),(189,1)}
        27:{2,3,4,6,7}:{(42,1),(44,1),(76,1),(88,1),(90,1),(128,1),(144,1),(148,1),(175,1)}
        28:{1,3,4,6,7}:{(14,1),(38,1),(42,1),(45,1),(46,1),(50,1),(88,1),(93,1),(144,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(39,1),(46,1),(47,1)}
        30:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(40,1),(46,1),(47,1),(48,1),(49,1),(96,1),(97,1),(100,1)}
        31:{3,4,5,7}:{(16,1),(19,1),(41,1),(47,1),(48,1)}
        32:{1,4,6,7}:{(17,1),(46,1),(49,1),(50,1),(93,1)}
        33:{3,6,7}:{(18,1),(47,1),(144,1)}
        34:{1,4,6,7}:{(19,1),(20,1),(48,1),(51,1),(149,1)}
        35:{1,2,4,7}:{(21,1),(22,1),(53,1),(55,1)}
        36:{1,2,3,6}:{(21,1),(23,1),(55,1),(101,1)}
        37:{1,3,4,5,7}:{(22,1),(54,1),(57,1),(58,1),(67,1),(108,1),(116,1),(121,1),(156,1),(190,1)}
        38:{1,3,4,6}:{(22,1),(23,1),(55,1),(58,1),(59,1),(106,1)}
        39:{1,3,5,6}:{(23,1),(24,1),(29,1),(58,1),(59,1),(60,1)}
        40:{1,2,4,5,6}:{(24,1),(25,1),(30,1),(59,1),(60,1),(61,1),(71,1),(105,1),(112,1),(113,1),(115,1),(127,1)}
        41:{3,4,5,6}:{(25,1),(31,1),(60,1),(61,1),(120,1),(156,1)}
        42:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(55,1),(62,1),(63,1),(73,1),(115,1),(173,1)}
        43:{1,2,3,5,7}:{(26,1),(29,1),(56,1),(62,1),(63,1),(70,1),(116,1),(154,1),(171,1),(172,1),(194,1)}
        44:{2,3,5,7}:{(27,1),(62,1),(64,1),(65,1),(102,1),(116,1),(162,1)}
        45:{1,3,5,7}:{(28,1),(58,1),(62,1),(66,1),(67,1),(72,1),(116,1)}
        46:{1,4,7}:{(29,1),(59,1),(68,1)}
        47:{3,5,7}:{(30,1),(33,1),(60,1),(68,1)}
        48:{1,4,5,7}:{(31,1),(34,1),(61,1),(69,1)}
        49:{1,4,5,7}:{(32,1),(71,1),(72,1)}
        50:{3,4,6,7}:{(32,1),(33,1),(68,1),(72,1),(73,1),(123,1)}
        51:{1,3,6,7}:{(33,1),(34,1),(69,1),(74,1),(169,1)}
        52:{2,3,6,7}:{(33,1),(70,1),(73,1),(74,1),(170,1)}
        53:{2,3,4,7}:{(35,1),(75,1),(76,1),(88,1),(175,1)}
        54:{1,2,4,5,7}:{(35,1),(37,1),(75,1),(77,1),(78,1),(130,1),(131,1),(175,1)}
        55:{1,2,4,6}:{(35,1),(36,1),(38,1),(76,1),(78,1)}
        56:{1,2,3,5,6}:{(36,1),(39,1),(43,1),(78,1),(79,1),(85,1),(86,1),(129,1),(133,1),(144,1),(180,1),(182,1),(183,1),(189,1)}
        57:{1,3,4,6}:{(37,1),(77,1),(81,1),(93,1),(144,1),(149,1),(176,1)}
        58:{1,3,5}:{(38,1),(78,1),(82,1),(133,1)}
        59:{1,4,6}:{(39,1),(46,1),(82,1),(83,1)}
        60:{3,5,6}:{(40,1),(47,1),(83,1),(133,1),(144,1)}
        61:{1,4,5,6}:{(41,1),(48,1),(84,1),(149,1),(177,1)}
        62:{1,2,5,7}:{(42,1),(44,1),(45,1),(78,1),(86,1),(100,1),(184,1)}
        63:{1,2,4,7}:{(43,1),(46,1),(79,1),(88,1),(96,1),(175,1),(200,1)}
        64:{2,3,5,6}:{(44,1),(86,1),(90,1),(137,1),(144,1)}
        65:{2,4,5,7}:{(44,1),(90,1),(91,1),(130,1),(175,1)}
        66:{1,3,5,6}:{(45,1),(86,1),(93,1),(99,1),(144,1)}
        67:{1,4,5,7}:{(45,1),(46,1),(82,1),(93,1),(94,1)}
        68:{3,4,7}:{(46,1),(47,1),(83,1),(96,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(51,1),(84,1),(95,1),(97,1)}
        70:{2,3,5,7}:{(47,1),(52,1),(85,1),(96,1),(97,1),(100,1),(152,1)}
        71:{1,4,5,6}:{(49,1),(93,1),(99,1)}
        72:{3,5,7}:{(49,1),(50,1),(99,1),(100,1)}
        73:{2,4,6,7}:{(50,1),(52,1),(96,1),(100,1),(151,1)}
        74:{1,2,6,7}:{(51,1),(52,1),(97,1),(189,1)}
        75:{2,3,5,7}:{(53,1),(54,1),(101,1),(102,1),(116,1)}
        76:{2,3,4,6}:{(53,1),(55,1),(101,1),(102,1),(106,1),(155,1)}
        77:{1,2,4,6}:{(54,1),(57,1),(101,1),(104,1),(155,1)}
        78:{1,2,5}:{(55,1),(58,1),(102,1)}
        79:{1,2,4,6}:{(56,1),(59,1),(63,1),(105,1),(106,1),(112,1),(155,1),(191,1)}
        80:{1,3,4,6,7}:{(57,1),(103,1),(108,1),(122,1),(168,1),(173,1),(190,1)}
        81:{1,3,5,6}:{(57,1),(58,1),(104,1),(108,1),(109,1),(158,1),(163,1)}
        82:{1,4,5}:{(58,1),(59,1),(110,1)}
        83:{3,4,6}:{(59,1),(60,1),(68,1),(110,1),(112,1)}
        84:{1,3,5,6}:{(60,1),(61,1),(69,1),(111,1),(113,1),(159,1),(169,1)}
        85:{2,3,5,6}:{(60,1),(70,1),(112,1),(113,1),(127,1),(160,1),(167,1),(170,1)}
        86:{1,2,5,6}:{(62,1),(64,1),(66,1),(115,1),(127,1),(163,1)}
        87:{1,2,4,5,7}:{(62,1),(63,1),(65,1),(67,1),(105,1),(115,1),(116,1),(121,1),(124,1),(171,1)}
        88:{3,4,7}:{(63,1),(106,1),(116,1)}
        89:{2,3,5,6,7}:{(64,1),(114,1),(119,1),(154,1),(162,1),(168,1)}
        90:{2,4,6}:{(64,1),(65,1),(120,1)}
        91:{3,4,5,7}:{(65,1),(116,1),(120,1),(121,1),(156,1),(162,1),(190,1)}
        92:{1,3,5,6,7}:{(66,1),(108,1),(114,1),(122,1),(126,1),(168,1)}
        93:{1,4,6}:{(66,1),(67,1),(123,1)}
        94:{3,4,5,7}:{(67,1),(68,1),(72,1),(110,1),(116,1),(123,1),(124,1)}
        95:{1,3,4,7}:{(68,1),(69,1),(111,1),(125,1)}
        96:{2,4,7}:{(68,1),(70,1),(112,1)}
        97:{1,2,5,7}:{(69,1),(70,1),(74,1),(113,1),(125,1)}
        98:{1,4,5,6,7}:{(71,1),(122,1),(126,1)}
        99:{3,5,6}:{(71,1),(72,1),(123,1),(127,1)}
       100:{2,5,7}:{(72,1),(73,1),(127,1)}
       101:{2,3,6}:{(75,1),(77,1),(144,1)}
       102:{2,3,5}:{(76,1),(78,1),(130,1),(133,1)}
       103:{1,2,4,6,7}:{(77,1),(80,1),(128,1),(131,1),(175,1)}
       104:{1,2,5,6}:{(77,1),(78,1),(81,1),(129,1),(131,1)}
       105:{1,2,4,5}:{(78,1),(79,1),(82,1),(130,1),(133,1),(141,1),(177,1),(182,1)}
       106:{3,4,6}:{(79,1),(88,1),(133,1),(144,1)}
       107:{2,4,5,6}:{(90,1),(136,1),(137,1)}
       108:{1,3,5,7}:{(80,1),(81,1),(131,1),(138,1),(179,1),(184,1)}
       109:{1,4,5,6}:{(81,1),(82,1),(93,1),(138,1),(139,1)}
       110:{3,4,5}:{(82,1),(83,1),(133,1),(141,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(95,1),(140,1),(142,1)}
       112:{2,4,6}:{(83,1),(85,1),(96,1),(141,1)}
       113:{1,2,5,6}:{(84,1),(85,1),(97,1),(142,1),(182,1),(189,1)}
       114:{1,2,5,6,7}:{(86,1),(89,1),(92,1),(131,1),(143,1),(153,1),(184,1)}
       115:{1,2,4,6}:{(86,1),(87,1),(90,1),(93,1),(144,1),(149,1),(151,1),(189,1)}
       116:{3,5,7}:{(87,1),(88,1),(133,1),(144,1)}
       117:{1,3,4,7}:{(88,1),(134,1),(145,1),(147,1),(200,1),(209,1)}
       118:{2,3,4,7}:{(88,1),(96,1),(135,1),(146,1),(147,1),(152,1)}
       119:{2,4,6,7}:{(89,1),(90,1),(136,1),(148,1),(175,1)}
       120:{3,4,6}:{(90,1),(91,1),(137,1),(144,1),(149,1)}
       121:{1,4,5,7}:{(91,1),(145,1),(149,1),(177,1),(184,1),(200,1)}
       122:{1,4,6,7}:{(92,1),(93,1),(138,1),(150,1)}
       123:{3,4,6}:{(93,1),(94,1),(99,1),(144,1),(151,1)}
       124:{2,4,5,7}:{(94,1),(96,1),(100,1),(141,1),(146,1),(151,1)}
       125:{1,2,4,7}:{(95,1),(96,1),(97,1),(142,1),(152,1)}
       126:{3,5,6,7}:{(98,1),(99,1),(150,1),(153,1)}
       127:{2,5,6}:{(99,1),(100,1),(151,1)}
       128:{2,3,6,7}:{(101,1),(103,1),(154,1),(168,1)}
       129:{2,3,5,6}:{(101,1),(102,1),(104,1),(154,1),(155,1),(158,1)}
       130:{2,4,5}:{(102,1),(155,1),(156,1)}
       131:{1,2,5,7}:{(103,1),(104,1),(108,1),(154,1)}
       132:{1,2,4,5,6}:{(104,1),(105,1),(107,1),(109,1),(115,1),(155,1),(157,1),(158,1),(163,1),(165,1),(191,1),(196,1)}
       133:{3,5}:{(105,1),(106,1)}
       134:{1,3,4,6}:{(106,1),(117,1),(159,1),(161,1),(169,1),(191,1),(207,1),(208,1)}
       135:{2,3,4,6}:{(106,1),(112,1),(118,1),(160,1),(161,1),(167,1),(170,1),(198,1)}
       136:{2,4,5,7}:{(107,1),(119,1),(162,1)}
       137:{3,5,6}:{(107,1),(120,1),(162,1),(163,1)}
       138:{1,4,5,7}:{(108,1),(109,1),(122,1),(164,1)}
       139:{3,4,5,6}:{(109,1),(110,1),(123,1),(158,1),(164,1),(165,1)}
       140:{1,3,4,5}:{(110,1),(111,1),(159,1),(166,1),(208,1)}
       141:{2,4,5}:{(110,1),(112,1),(160,1)}
       142:{1,2,4,6}:{(111,1),(112,1),(113,1),(125,1),(166,1),(167,1)}
       143:{1,2,4,6,7}:{(114,1),(115,1),(119,1),(122,1),(157,1),(168,1),(173,1),(174,1),(199,1)}
       144:{3,6}:{(115,1),(116,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(121,1),(159,1),(169,1),(171,1)}
       146:{2,3,5,7}:{(116,1),(118,1),(124,1),(160,1),(170,1),(171,1)}
       147:{1,2,4,7}:{(117,1),(118,1),(161,1),(171,1),(172,1)}
       148:{3,4,6,7}:{(119,1),(120,1),(162,1),(168,1),(173,1),(190,1)}
       149:{1,4,6}:{(120,1),(121,1),(163,1),(169,1)}
       150:{3,4,6,7}:{(122,1),(123,1),(126,1),(164,1),(168,1),(174,1)}
       151:{2,4,6}:{(123,1),(124,1),(127,1),(170,1)}
       152:{2,3,7}:{(125,1),(167,1)}
       153:{2,5,6,7}:{(126,1),(127,1),(174,1)}
       154:{2,3,5,7}:{(128,1),(129,1),(131,1),(175,1),(179,1)}
       155:{2,4,6}:{(129,1),(130,1),(175,1),(176,1)}
       156:{3,4,5}:{(130,1),(133,1),(176,1),(177,1)}
       157:{1,2,4,5,7}:{(131,1),(132,1),(136,1),(138,1),(143,1),(175,1),(179,1),(184,1),(185,1),(200,1),(204,1)}
       158:{3,5,6}:{(132,1),(133,1),(144,1),(176,1),(179,1)}
       159:{1,3,5}:{(133,1),(134,1),(177,1),(182,1)}
       160:{2,3,5}:{(133,1),(135,1),(141,1),(182,1)}
       161:{1,2,4,6}:{(134,1),(135,1),(147,1),(182,1),(183,1),(189,1),(205,1)}
       162:{3,5,7}:{(136,1),(137,1),(148,1),(184,1)}
       163:{1,5,6}:{(137,1),(149,1),(184,1)}
       164:{3,4,5,7}:{(138,1),(139,1),(150,1),(179,1),(185,1)}
       165:{2,4,5,6}:{(139,1),(141,1),(151,1),(181,1),(185,1)}
       166:{1,2,4,5}:{(140,1),(141,1),(142,1),(182,1),(186,1),(205,1)}
       167:{2,3,6}:{(142,1),(152,1),(186,1)}
       168:{3,6,7}:{(143,1),(144,1),(179,1)}
       169:{1,3,6}:{(144,1),(145,1),(149,1),(189,1)}
       170:{2,3,6}:{(144,1),(146,1),(151,1),(189,1)}
       171:{1,2,5,7}:{(145,1),(146,1),(147,1),(182,1),(189,1)}
       172:{1,2,3,7}:{(147,1),(152,1),(183,1),(209,1)}
       173:{1,4,6,7}:{(148,1),(149,1),(184,1),(187,1),(200,1)}
       174:{2,4,6,7}:{(150,1),(151,1),(153,1),(185,1),(188,1)}
       175:{2,4,7}:{(154,1),(155,1),(190,1)}
       176:{3,4,6}:{(155,1),(156,1),(158,1),(190,1),(191,1)}
       177:{1,4,5}:{(156,1),(159,1),(191,1)}
       178:{2,3,4,5}:{(156,1),(160,1),(192,1),(193,1),(198,1)}
       179:{3,5,7}:{(157,1),(158,1),(168,1),(190,1)}
       180:{1,3,5,6}:{(158,1),(159,1),(163,1),(169,1),(191,1),(194,1),(196,1),(207,1)}
       181:{2,3,5,6}:{(158,1),(160,1),(165,1),(170,1),(192,1),(195,1),(196,1)}
       182:{1,2,5}:{(159,1),(160,1),(161,1)}
       183:{1,2,3,6}:{(161,1),(167,1),(172,1),(197,1),(207,1)}
       184:{1,5,7}:{(162,1),(163,1),(173,1)}
       185:{2,4,5,7}:{(164,1),(165,1),(174,1),(195,1)}
       186:{2,3,5}:{(166,1),(167,1),(198,1)}
       187:{1,3,6,7}:{(168,1),(169,1),(173,1),(194,1),(199,1)}
       188:{2,3,6,7}:{(168,1),(170,1),(174,1),(195,1),(199,1)}
       189:{1,2,6}:{(169,1),(170,1),(171,1)}
       190:{3,4,7}:{(175,1),(176,1),(179,1),(200,1)}
       191:{1,4,6}:{(176,1),(177,1),(180,1),(200,1)}
       192:{2,3,4,6}:{(176,1),(178,1),(181,1),(201,1),(202,1)}
       193:{1,2,4,5}:{(177,1),(178,1),(182,1),(202,1),(203,1),(205,1)}
       194:{1,3,5,7}:{(179,1),(180,1),(184,1),(187,1),(200,1),(204,1),(209,1)}
       195:{2,3,5,7}:{(179,1),(181,1),(185,1),(188,1),(201,1),(204,1)}
       196:{1,2,5,6}:{(180,1),(181,1),(182,1),(189,1),(202,1),(204,1)}
       197:{1,2,3,5}:{(182,1),(183,1),(186,1),(203,1),(205,1)}
       198:{2,3,4}:{(186,1),(205,1)}
       199:{1,2,6,7}:{(187,1),(188,1),(189,1),(204,1)}
       200:{1,4,7}:{(190,1),(191,1),(194,1)}
       201:{2,3,4,7}:{(190,1),(192,1),(195,1),(206,1)}
       202:{1,2,4,6}:{(191,1),(192,1),(193,1),(196,1),(206,1),(207,1)}
       203:{1,3,5}:{(193,1),(207,1),(208,1)}
       204:{1,2,5,7}:{(194,1),(195,1),(196,1),(199,1),(206,1)}
       205:{1,2,4}:{(197,1),(198,1),(208,1)}
       206:{1,2,4,7}:{(200,1),(201,1),(202,1),(204,1),(209,1)}
       207:{1,3,6}:{(202,1),(203,1),(209,1)}
       208:{1,3,4}:{(203,1),(205,1)}
       209:{1,3,7}:{(206,1),(207,1)}

1729 :   0:{1,2,3,5,6,7}:{(2,1),(12,1),(22,1),(44,1),(45,1),(49,1),(50,1),(58,1),(60,1),(96,1),(100,1),(110,1),(136,1),(142,1),(165,1)}
         1:{1,2,4,5,6,7}:{(3,1),(11,1),(20,1),(21,1),(22,1),(57,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(69,1),(70,1),(84,1),(125,1),(133,1),(154,1),(172,1)}
         3:{3,5,6,7}:{(1,1),(8,1),(25,1),(83,1)}
         4:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(47,1),(48,1),(49,1),(146,1)}
         5:{3,4,6,7}:{(2,1),(12,1),(43,1),(60,1),(111,1),(142,1),(145,1),(166,1)}
         6:{2,3,4,5,7}:{(15,1),(16,1),(18,1),(48,1),(93,1),(104,1),(111,1),(140,1),(151,1)}
         7:{2,3,4,6,7}:{(15,1),(18,1),(19,1),(21,1),(60,1),(111,1)}
         8:{3,4,6,7}:{(3,1),(17,1),(20,1),(21,1),(43,1),(60,1),(111,1)}
         9:{1,3,5,6,7}:{(3,1),(20,1),(22,1),(44,1),(56,1),(58,1),(60,1)}
        10:{2,3,5,6,7}:{(3,1),(18,1),(21,1),(22,1),(45,1),(60,1),(110,1)}
        11:{1,2,4,5,6}:{(4,1),(25,1),(69,1),(70,1),(71,1)}
        12:{3,5,7}:{(4,1),(5,1),(25,1),(162,1)}
        13:{1,3,4,6,7}:{(5,1),(27,1),(29,1),(37,1),(69,1),(81,1),(84,1),(124,1),(129,1),(158,1),(161,1),(172,1)}
        14:{2,3,4,6,7}:{(5,1),(28,1),(29,1),(70,1),(85,1),(115,1),(119,1),(124,1),(129,1),(133,1),(154,1),(160,1)}
        15:{2,3,4,6}:{(6,1),(31,1),(32,1),(70,1),(124,1),(131,1)}
        16:{1,2,4,5,7}:{(6,1),(32,1),(33,1),(36,1),(73,1),(84,1),(126,1),(132,1)}
        17:{3,4,5,7}:{(8,1),(30,1),(34,1),(35,1),(83,1)}
        18:{2,3,5,7}:{(7,1),(31,1),(35,1),(36,1),(83,1)}
        19:{1,2,4,6,7}:{(7,1),(32,1),(36,1),(37,1),(84,1)}
        20:{1,4,6,7}:{(8,1),(9,1),(34,1),(69,1),(84,1)}
        21:{2,4,6,7}:{(8,1),(10,1),(35,1),(70,1),(133,1)}
        22:{1,2,5,6,7}:{(9,1),(10,1),(36,1),(39,1),(71,1),(82,1)}
        23:{1,3,4,5,7}:{(40,1),(41,1),(47,1),(55,1),(87,1),(104,1),(109,1),(166,1),(168,1)}
        24:{1,2,4,5,6,7}:{(11,1),(42,1),(94,1),(95,1),(96,1),(135,1)}
        25:{3,5,6}:{(11,1),(12,1),(43,1)}
        26:{3,4,5,7}:{(12,1),(43,1),(47,1),(48,1),(104,1),(111,1),(151,1),(166,1),(168,1)}
        27:{1,3,5,7}:{(12,1),(13,1),(44,1),(47,1),(49,1),(104,1),(109,1),(171,1)}
        28:{2,3,5,7}:{(12,1),(14,1),(45,1),(48,1),(49,1),(104,1),(140,1),(170,1)}
        29:{1,2,4,6,7}:{(13,1),(14,1),(49,1),(50,1),(99,1),(101,1),(105,1),(169,1)}
        30:{3,4,5,6}:{(17,1),(43,1),(51,1),(52,1),(107,1),(168,1)}
        31:{2,3,5,6}:{(15,1),(18,1),(52,1),(53,1),(107,1),(140,1)}
        32:{1,2,4,6}:{(15,1),(16,1),(53,1),(54,1),(108,1)}
        33:{1,3,5,7}:{(16,1),(54,1),(55,1),(104,1),(109,1)}
        34:{1,4,5,7}:{(17,1),(20,1),(51,1),(56,1)}
        35:{2,4,5,7}:{(17,1),(18,1),(21,1),(52,1)}
        36:{1,2,5,7}:{(18,1),(19,1),(53,1),(58,1)}
        37:{1,3,6,7}:{(19,1),(54,1),(58,1),(60,1)}
        38:{1,3,4,6,7}:{(20,1),(56,1),(59,1),(60,1),(97,1),(111,1)}
        39:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(57,1),(60,1),(99,1)}
        40:{1,3,4,6}:{(23,1),(63,1),(64,1),(69,1),(124,1),(156,1)}
        41:{1,2,4,5,7}:{(23,1),(64,1),(65,1),(73,1),(114,1),(126,1),(154,1),(157,1)}
        42:{3,5,6,7}:{(24,1),(25,1),(66,1),(153,1)}
        43:{3,4,6}:{(25,1),(26,1),(69,1),(70,1),(124,1)}
        44:{1,3,5,6}:{(25,1),(27,1),(69,1),(71,1),(124,1)}
        45:{2,3,5,6}:{(25,1),(28,1),(70,1),(71,1),(124,1)}
        46:{1,2,3,5,7}:{(33,1),(65,1),(72,1),(73,1),(126,1)}
        47:{1,4,5,7}:{(26,1),(27,1),(69,1),(84,1),(132,1),(172,1),(173,1)}
        48:{2,4,5,7}:{(26,1),(28,1),(70,1),(133,1),(154,1),(157,1),(164,1)}
        49:{1,2,5,7}:{(27,1),(28,1),(29,1),(71,1),(126,1),(174,1)}
        50:{1,2,3,6,7}:{(29,1),(37,1),(72,1),(77,1),(85,1),(115,1),(124,1),(158,1),(159,1)}
        51:{1,4,5,6}:{(30,1),(34,1),(69,1),(78,1),(173,1)}
        52:{2,4,5,6}:{(30,1),(31,1),(35,1),(70,1),(157,1)}
        53:{1,2,5,6}:{(31,1),(32,1),(36,1),(80,1),(126,1)}
        54:{1,3,6}:{(32,1),(33,1),(124,1)}
        55:{1,3,4,7}:{(33,1),(73,1),(81,1),(84,1),(129,1)}
        56:{1,3,5,7}:{(34,1),(38,1),(78,1),(82,1),(83,1)}
        57:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(39,1),(79,1),(82,1),(83,1),(84,1),(133,1)}
        58:{1,3,5,7}:{(36,1),(37,1),(80,1),(83,1),(84,1)}
        59:{1,2,4,6,7}:{(38,1),(82,1),(85,1),(122,1),(133,1)}
        60:{3,6,7}:{(39,1),(83,1),(124,1)}
        61:{1,3,4,6,7}:{(40,1),(87,1),(88,1),(94,1),(142,1),(166,1)}
        62:{3,4,5,6}:{(43,1),(86,1),(89,1),(90,1),(138,1),(151,1)}
        63:{1,3,5,6}:{(40,1),(87,1),(89,1),(91,1),(109,1),(138,1)}
        64:{1,2,4,6}:{(40,1),(41,1),(91,1),(92,1),(139,1)}
        65:{2,3,5,7}:{(41,1),(92,1),(93,1),(104,1),(140,1)}
        66:{3,4,6,7}:{(42,1),(43,1),(86,1),(94,1),(95,1),(142,1),(166,1)}
        67:{1,3,5,6,7}:{(42,1),(44,1),(87,1),(94,1),(96,1),(142,1),(165,1)}
        68:{2,3,5,6,7}:{(42,1),(45,1),(95,1),(96,1),(134,1),(136,1),(142,1)}
        69:{1,4,6}:{(43,1),(44,1),(47,1)}
        70:{2,4,6}:{(43,1),(45,1),(48,1)}
        71:{1,2,5,6}:{(44,1),(45,1),(49,1),(99,1)}
        72:{1,2,3,6}:{(46,1),(54,1),(92,1),(101,1)}
        73:{1,2,4,7}:{(46,1),(55,1),(93,1),(101,1)}
        74:{1,3,4,5,7}:{(47,1),(56,1),(97,1),(102,1),(104,1),(111,1),(149,1),(151,1),(171,1)}
        75:{2,3,4,5,7}:{(48,1),(98,1),(103,1),(104,1),(134,1),(148,1),(166,1),(168,1),(170,1)}
        76:{1,2,4,5,7}:{(47,1),(48,1),(49,1),(99,1),(104,1),(105,1),(146,1)}
        77:{1,2,3,5,7}:{(49,1),(50,1),(58,1),(100,1),(104,1),(105,1),(110,1),(136,1),(165,1)}
        78:{1,3,5,6}:{(51,1),(56,1),(97,1),(106,1),(107,1),(171,1)}
        79:{1,2,4,5,6}:{(51,1),(52,1),(53,1),(57,1),(99,1),(106,1),(107,1),(108,1),(146,1),(150,1)}
        80:{1,3,5,6}:{(53,1),(54,1),(58,1),(107,1),(108,1),(109,1)}
        81:{1,3,4,6}:{(54,1),(55,1),(101,1),(108,1),(109,1),(145,1)}
        82:{1,2,5,7}:{(56,1),(59,1),(106,1),(110,1)}
        83:{3,5,7}:{(57,1),(60,1),(107,1),(111,1)}
        84:{1,4,7}:{(58,1),(108,1),(111,1)}
        85:{2,3,6,7}:{(59,1),(60,1),(110,1),(143,1)}
        86:{3,4,5,7}:{(62,1),(66,1),(112,1),(113,1),(153,1)}
        87:{1,3,5,7}:{(61,1),(63,1),(112,1),(114,1),(153,1)}
        88:{1,2,4,6,7}:{(61,1),(64,1),(114,1),(115,1),(154,1)}
        89:{1,4,5,6}:{(62,1),(63,1),(69,1),(112,1),(132,1)}
        90:{2,4,5,6}:{(62,1),(70,1),(113,1),(116,1),(164,1)}
        91:{1,2,5,6}:{(63,1),(64,1),(114,1),(118,1),(126,1)}
        92:{2,3,6}:{(64,1),(65,1),(124,1)}
        93:{2,3,4,7}:{(65,1),(73,1),(119,1),(129,1),(154,1)}
        94:{1,4,6,7}:{(66,1),(67,1),(69,1),(112,1),(172,1)}
        95:{2,4,6,7}:{(66,1),(68,1),(70,1),(113,1),(154,1)}
        96:{1,2,5,6,7}:{(67,1),(68,1),(71,1),(114,1),(121,1),(152,1)}
        97:{1,3,4,6}:{(69,1),(74,1),(78,1),(122,1),(124,1),(131,1)}
        98:{2,3,4,6}:{(70,1),(75,1),(116,1),(123,1),(124,1),(156,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(71,1),(76,1),(124,1)}
       100:{1,2,3,5,6}:{(71,1),(72,1),(77,1),(80,1),(118,1),(124,1),(125,1),(126,1),(130,1),(155,1),(159,1),(162,1),(174,1)}
       101:{1,2,4,6}:{(72,1),(73,1),(81,1),(119,1),(126,1)}
       102:{1,2,4,5,7}:{(74,1),(82,1),(122,1),(127,1),(133,1),(163,1),(164,1),(174,1)}
       103:{1,2,4,5,7}:{(75,1),(123,1),(128,1),(152,1),(163,1),(172,1),(173,1),(174,1)}
       104:{3,5,7}:{(76,1),(124,1),(129,1),(162,1)}
       105:{1,2,4,7}:{(77,1),(84,1),(125,1),(129,1),(133,1),(154,1),(172,1)}
       106:{1,2,5,6}:{(78,1),(82,1),(122,1),(130,1),(174,1)}
       107:{3,5,6}:{(79,1),(83,1),(124,1),(131,1),(162,1)}
       108:{1,4,6}:{(80,1),(84,1),(131,1),(132,1)}
       109:{1,3,5}:{(81,1),(126,1),(132,1),(162,1)}
       110:{2,3,5,7}:{(82,1),(83,1),(85,1),(130,1),(133,1)}
       111:{3,4,7}:{(83,1),(84,1),(131,1),(133,1)}
       112:{1,4,5,7}:{(86,1),(87,1),(89,1),(94,1)}
       113:{2,4,5,7}:{(86,1),(90,1),(95,1),(134,1)}
       114:{1,2,5,7}:{(87,1),(88,1),(91,1),(136,1)}
       115:{2,3,6,7}:{(88,1),(92,1),(136,1),(142,1)}
       116:{2,3,5,6}:{(90,1),(98,1),(134,1),(137,1),(138,1),(170,1)}
       117:{1,2,4,5,6}:{(89,1),(90,1),(91,1),(99,1),(135,1),(137,1),(138,1),(139,1),(146,1),(167,1)}
       118:{2,3,5,6}:{(91,1),(92,1),(136,1),(138,1),(139,1),(140,1)}
       119:{2,3,4,6}:{(92,1),(93,1),(101,1),(139,1),(140,1),(145,1)}
       120:{2,3,4,6,7}:{(95,1),(98,1),(134,1),(141,1),(142,1),(166,1)}
       121:{1,2,4,6,7}:{(94,1),(95,1),(96,1),(99,1),(135,1),(142,1)}
       122:{1,2,4,6}:{(97,1),(102,1),(106,1),(143,1),(150,1)}
       123:{1,2,4,6}:{(98,1),(103,1),(137,1),(144,1),(167,1)}
       124:{3,6}:{(99,1),(104,1)}
       125:{1,2,4,6}:{(100,1),(105,1),(108,1),(139,1),(145,1),(146,1),(150,1),(167,1)}
       126:{1,2,5}:{(101,1),(109,1),(140,1)}
       127:{2,3,5,7}:{(102,1),(104,1),(143,1),(148,1),(170,1)}
       128:{1,3,5,7}:{(103,1),(104,1),(144,1),(149,1),(171,1)}
       129:{3,4,7}:{(104,1),(105,1),(145,1)}
       130:{2,3,5,6}:{(106,1),(107,1),(110,1),(143,1),(150,1),(170,1)}
       131:{3,4,6}:{(107,1),(108,1),(111,1),(150,1),(151,1)}
       132:{1,4,5}:{(108,1),(109,1),(151,1)}
       133:{2,4,7}:{(110,1),(111,1),(150,1)}
       134:{2,3,5,7}:{(113,1),(116,1),(120,1),(152,1),(153,1)}
       135:{1,2,4,5,7}:{(112,1),(113,1),(114,1),(117,1),(121,1),(152,1),(153,1),(154,1),(172,1)}
       136:{2,3,5,7}:{(114,1),(115,1),(118,1),(153,1),(154,1)}
       137:{1,2,5,6}:{(116,1),(123,1),(152,1),(155,1),(174,1)}
       138:{3,5,6}:{(117,1),(124,1),(153,1),(156,1),(162,1)}
       139:{2,4,6}:{(118,1),(154,1),(156,1),(157,1)}
       140:{2,3,5}:{(119,1),(126,1),(157,1),(162,1)}
       141:{1,2,4,6,7}:{(120,1),(123,1),(152,1),(158,1),(172,1)}
       142:{3,6,7}:{(121,1),(124,1),(153,1)}
       143:{2,3,6}:{(122,1),(124,1),(127,1)}
       144:{1,3,6}:{(123,1),(124,1),(128,1)}
       145:{3,4,6}:{(124,1),(125,1),(129,1),(162,1)}
       146:{1,2,4,5}:{(125,1),(126,1),(132,1),(157,1),(162,1),(164,1),(173,1),(174,1)}
       147:{1,2,3,5,7}:{(127,1),(128,1),(159,1),(163,1),(174,1)}
       148:{2,3,4,7}:{(127,1),(129,1),(133,1),(160,1),(163,1)}
       149:{1,3,4,7}:{(128,1),(129,1),(161,1),(163,1),(172,1)}
       150:{2,4,6}:{(130,1),(131,1),(133,1),(164,1)}
       151:{3,4,5}:{(131,1),(132,1),(162,1),(164,1)}
       152:{1,2,5,7}:{(134,1),(137,1),(141,1),(165,1)}
       153:{3,5,7}:{(135,1),(138,1),(142,1),(166,1)}
       154:{2,4,7}:{(136,1),(139,1),(166,1)}
       155:{1,3,5,6}:{(137,1),(138,1),(144,1),(165,1),(167,1),(171,1)}
       156:{3,4,6}:{(138,1),(139,1),(166,1),(167,1),(168,1)}
       157:{2,4,5}:{(139,1),(140,1),(168,1)}
       158:{1,3,6,7}:{(141,1),(142,1),(144,1),(165,1)}
       159:{1,2,3,6}:{(143,1),(144,1),(147,1),(169,1)}
       160:{2,3,4,6}:{(143,1),(145,1),(148,1),(150,1),(169,1),(170,1)}
       161:{1,3,4,6}:{(144,1),(145,1),(149,1),(167,1),(169,1),(171,1)}
       162:{3,5}:{(145,1),(146,1)}
       163:{1,2,4,7}:{(147,1),(148,1),(149,1),(169,1)}
       164:{2,4,5}:{(150,1),(151,1),(170,1)}
       165:{1,3,5,7}:{(152,1),(153,1),(155,1),(158,1),(172,1)}
       166:{3,4,7}:{(153,1),(154,1),(156,1),(172,1)}
       167:{1,4,6}:{(155,1),(156,1),(172,1),(173,1)}
       168:{3,4,5}:{(156,1),(157,1),(162,1),(173,1)}
       169:{1,2,4,6}:{(159,1),(160,1),(161,1),(163,1),(174,1)}
       170:{2,3,5}:{(160,1),(162,1),(164,1),(174,1)}
       171:{1,3,5}:{(161,1),(162,1),(173,1),(174,1)}
       172:{1,4,7}:{(165,1),(166,1),(167,1)}
       173:{1,4,5}:{(167,1),(168,1),(171,1)}
       174:{1,2,5}:{(169,1),(170,1),(171,1)}

1730 :   0:{1,2,4,5,6,7}:{(1,1),(8,1),(9,1),(10,1),(20,1),(30,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(37,1),(48,1)}
         2:{1,2,3,5,6,7}:{(6,1),(10,1),(21,1),(31,1),(58,1),(59,1),(60,1),(61,1),(63,1),(65,1),(109,1),(110,1),(152,1),(155,1),(168,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(31,1),(54,1),(67,1)}
         4:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(26,1),(31,1),(58,1),(63,1)}
         5:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(24,1),(31,1),(59,1),(65,1)}
         6:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(78,1),(79,1),(86,1),(88,1),(135,1),(166,1),(173,1)}
         7:{3,4,5,7}:{(3,1),(15,1),(16,1),(17,1),(48,1)}
         8:{1,4,6,7}:{(3,1),(4,1),(16,1),(78,1),(86,1)}
         9:{2,4,6,7}:{(3,1),(5,1),(17,1),(79,1),(88,1)}
        10:{1,2,5,6,7}:{(4,1),(5,1),(18,1),(42,1),(45,1),(83,1)}
        11:{1,2,4,5,7}:{(6,1),(20,1),(21,1),(55,1),(56,1),(60,1),(154,1)}
        12:{3,4,6,7}:{(6,1),(21,1),(31,1),(54,1),(67,1),(152,1),(153,1),(171,1)}
        13:{2,3,4,6,7}:{(9,1),(24,1),(25,1),(31,1),(32,1),(67,1)}
        14:{1,3,4,6,7}:{(8,1),(26,1),(27,1),(31,1),(52,1),(67,1)}
        15:{3,4,5,6}:{(7,1),(28,1),(29,1),(54,1),(66,1),(172,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(26,1),(28,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(24,1),(29,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(30,1),(31,1),(107,1)}
        19:{2,3,4,5,7}:{(24,1),(32,1),(33,1),(56,1),(67,1),(108,1),(114,1),(119,1),(157,1)}
        20:{1,2,4,5,6}:{(11,1),(37,1),(78,1),(79,1),(83,1)}
        21:{3,5,7}:{(11,1),(12,1),(37,1),(165,1)}
        22:{1,3,4,6,7}:{(12,1),(38,1),(40,1),(43,1),(78,1),(86,1),(96,1),(133,1),(134,1),(160,1),(161,1),(173,1)}
        23:{2,3,4,6,7}:{(12,1),(39,1),(40,1),(46,1),(79,1),(88,1),(128,1),(133,1),(134,1),(140,1),(141,1),(166,1)}
        24:{2,3,5,7}:{(13,1),(17,1),(41,1),(42,1),(48,1)}
        25:{1,2,4,6,7}:{(13,1),(42,1),(43,1),(50,1),(86,1)}
        26:{1,3,5,7}:{(14,1),(16,1),(44,1),(45,1),(48,1)}
        27:{1,2,4,6,7}:{(14,1),(45,1),(46,1),(74,1),(88,1)}
        28:{1,4,5,6}:{(15,1),(16,1),(44,1),(78,1),(174,1)}
        29:{2,4,5,6}:{(15,1),(17,1),(41,1),(79,1),(167,1)}
        30:{1,2,4,5,7}:{(16,1),(17,1),(18,1),(42,1),(45,1),(47,1),(48,1),(86,1),(88,1)}
        31:{3,6,7}:{(18,1),(48,1),(133,1)}
        32:{2,3,4,6}:{(19,1),(41,1),(50,1),(79,1),(89,1),(133,1)}
        33:{1,2,4,5,7}:{(19,1),(42,1),(50,1),(51,1),(86,1),(95,1),(136,1),(142,1)}
        34:{1,3,4,5,7}:{(26,1),(52,1),(53,1),(55,1),(67,1),(108,1),(114,1),(147,1),(170,1)}
        35:{3,4,5,7}:{(21,1),(54,1),(55,1),(56,1),(67,1),(108,1),(114,1),(171,1),(172,1)}
        36:{1,2,4,5,6,7}:{(20,1),(57,1),(105,1),(106,1),(109,1),(150,1)}
        37:{3,5,6}:{(20,1),(21,1),(54,1)}
        38:{1,3,5,7}:{(21,1),(22,1),(55,1),(58,1),(60,1),(108,1),(121,1),(170,1)}
        39:{2,3,5,7}:{(21,1),(23,1),(56,1),(59,1),(60,1),(108,1),(149,1),(157,1)}
        40:{1,2,4,6,7}:{(22,1),(23,1),(60,1),(61,1),(107,1),(111,1),(120,1),(148,1)}
        41:{2,3,5,6}:{(24,1),(29,1),(32,1),(62,1),(66,1),(157,1)}
        42:{1,2,5,7}:{(24,1),(25,1),(62,1),(63,1)}
        43:{1,3,6,7}:{(25,1),(31,1),(63,1),(71,1)}
        44:{1,3,5,6}:{(26,1),(28,1),(52,1),(64,1),(66,1),(170,1)}
        45:{1,2,5,7}:{(26,1),(27,1),(64,1),(65,1)}
        46:{2,3,6,7}:{(27,1),(31,1),(65,1),(100,1)}
        47:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(62,1),(64,1),(66,1),(107,1),(112,1),(113,1),(154,1)}
        48:{3,5,7}:{(30,1),(31,1),(66,1),(67,1)}
        49:{1,3,4,5,7}:{(55,1),(68,1),(69,1),(72,1),(108,1),(115,1),(121,1),(171,1),(172,1)}
        50:{1,2,4,6}:{(32,1),(33,1),(62,1),(71,1),(112,1)}
        51:{1,3,5,7}:{(33,1),(71,1),(72,1),(108,1),(121,1)}
        52:{1,3,4,6}:{(34,1),(44,1),(74,1),(78,1),(89,1),(133,1)}
        53:{1,2,4,5,7}:{(34,1),(45,1),(74,1),(75,1),(88,1),(127,1),(137,1),(162,1)}
        54:{3,4,6}:{(35,1),(37,1),(78,1),(79,1),(133,1)}
        55:{1,4,5,7}:{(35,1),(38,1),(78,1),(86,1),(136,1),(173,1),(174,1)}
        56:{2,4,5,7}:{(35,1),(39,1),(79,1),(88,1),(137,1),(166,1),(167,1)}
        57:{3,5,6,7}:{(36,1),(37,1),(77,1),(163,1)}
        58:{1,3,5,6}:{(37,1),(38,1),(78,1),(83,1),(133,1)}
        59:{2,3,5,6}:{(37,1),(39,1),(79,1),(83,1),(133,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(40,1),(83,1),(142,1),(162,1)}
        61:{1,2,3,6,7}:{(40,1),(43,1),(46,1),(84,1),(94,1),(126,1),(133,1),(140,1),(160,1)}
        62:{1,2,5,6}:{(41,1),(42,1),(50,1),(85,1),(142,1)}
        63:{1,3,5,7}:{(42,1),(43,1),(48,1),(85,1),(86,1)}
        64:{1,2,5,6}:{(44,1),(45,1),(74,1),(87,1),(162,1)}
        65:{2,3,5,7}:{(45,1),(46,1),(48,1),(87,1),(88,1)}
        66:{3,5,6}:{(47,1),(48,1),(89,1),(133,1),(165,1)}
        67:{3,4,7}:{(48,1),(86,1),(88,1),(89,1)}
        68:{1,3,4,6}:{(49,1),(78,1),(90,1),(92,1),(133,1),(164,1)}
        69:{1,2,4,5,7}:{(49,1),(92,1),(93,1),(95,1),(138,1),(142,1),(166,1),(167,1)}
        70:{1,2,3,5,7}:{(51,1),(93,1),(94,1),(95,1),(142,1)}
        71:{1,3,6}:{(50,1),(51,1),(133,1)}
        72:{1,3,4,7}:{(51,1),(86,1),(95,1),(96,1),(134,1)}
        73:{2,3,4,5,7}:{(56,1),(97,1),(98,1),(101,1),(108,1),(143,1),(149,1),(171,1),(172,1)}
        74:{1,2,4,6}:{(52,1),(53,1),(64,1),(100,1),(113,1)}
        75:{2,3,5,7}:{(53,1),(100,1),(101,1),(108,1),(149,1)}
        76:{3,4,5,6}:{(54,1),(102,1),(103,1),(104,1),(114,1),(151,1)}
        77:{3,4,6,7}:{(54,1),(57,1),(102,1),(105,1),(106,1),(152,1),(171,1)}
        78:{1,4,6}:{(54,1),(55,1),(58,1)}
        79:{2,4,6}:{(54,1),(56,1),(59,1)}
        80:{1,2,4,5,7}:{(55,1),(56,1),(60,1),(107,1),(108,1),(111,1),(154,1)}
        81:{1,3,5,6,7}:{(57,1),(58,1),(105,1),(109,1),(115,1),(152,1),(168,1)}
        82:{2,3,5,6,7}:{(57,1),(59,1),(106,1),(109,1),(143,1),(152,1),(155,1)}
        83:{1,2,5,6}:{(58,1),(59,1),(60,1),(107,1)}
        84:{1,2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(108,1),(110,1),(111,1),(155,1),(168,1)}
        85:{1,3,5,6}:{(62,1),(63,1),(66,1),(71,1),(112,1),(121,1)}
        86:{1,4,7}:{(63,1),(67,1),(112,1)}
        87:{2,3,5,6}:{(64,1),(65,1),(66,1),(100,1),(113,1),(149,1)}
        88:{2,4,7}:{(65,1),(67,1),(113,1)}
        89:{3,4,6}:{(66,1),(67,1),(112,1),(113,1),(114,1)}
        90:{1,3,5,6}:{(68,1),(103,1),(115,1),(116,1),(121,1),(151,1)}
        91:{1,3,4,6,7}:{(68,1),(105,1),(115,1),(117,1),(152,1),(171,1)}
        92:{1,2,4,6}:{(68,1),(69,1),(116,1),(118,1),(156,1)}
        93:{2,3,5,7}:{(69,1),(108,1),(118,1),(119,1),(157,1)}
        94:{1,2,3,6}:{(70,1),(71,1),(118,1),(120,1)}
        95:{1,2,4,7}:{(70,1),(72,1),(119,1),(120,1)}
        96:{1,3,4,6}:{(71,1),(72,1),(112,1),(120,1),(121,1),(153,1)}
        97:{2,3,4,6}:{(73,1),(79,1),(122,1),(124,1),(133,1),(164,1)}
        98:{1,2,4,5,7}:{(73,1),(124,1),(125,1),(127,1),(158,1),(162,1),(173,1),(174,1)}
        99:{1,2,3,5,7}:{(75,1),(125,1),(126,1),(127,1),(162,1)}
       100:{2,3,6}:{(74,1),(75,1),(133,1)}
       101:{2,3,4,7}:{(75,1),(88,1),(127,1),(128,1),(134,1)}
       102:{3,4,5,7}:{(76,1),(77,1),(129,1),(130,1),(163,1)}
       103:{1,4,5,6}:{(76,1),(78,1),(90,1),(129,1),(136,1)}
       104:{2,4,5,6}:{(76,1),(79,1),(122,1),(130,1),(137,1)}
       105:{1,4,6,7}:{(77,1),(78,1),(81,1),(129,1),(173,1)}
       106:{2,4,6,7}:{(77,1),(79,1),(82,1),(130,1),(166,1)}
       107:{1,2,4,6}:{(78,1),(79,1),(80,1),(83,1),(133,1)}
       108:{3,5,7}:{(80,1),(133,1),(134,1),(165,1)}
       109:{1,2,5,6,7}:{(81,1),(82,1),(83,1),(132,1),(138,1),(158,1)}
       110:{1,2,3,5,6}:{(83,1),(84,1),(85,1),(87,1),(94,1),(126,1),(133,1),(135,1),(139,1),(142,1),(159,1),(162,1),(165,1)}
       111:{1,2,4,7}:{(84,1),(86,1),(88,1),(134,1),(135,1),(166,1),(173,1)}
       112:{1,4,6}:{(85,1),(86,1),(89,1),(136,1)}
       113:{2,4,6}:{(87,1),(88,1),(89,1),(137,1)}
       114:{3,4,5}:{(89,1),(136,1),(137,1),(165,1)}
       115:{1,3,5,7}:{(90,1),(91,1),(129,1),(138,1),(163,1)}
       116:{1,2,5,6}:{(90,1),(92,1),(138,1),(139,1),(142,1)}
       117:{1,2,4,6,7}:{(91,1),(92,1),(138,1),(140,1),(166,1)}
       118:{2,3,6}:{(92,1),(93,1),(133,1)}
       119:{2,3,4,7}:{(93,1),(95,1),(134,1),(141,1),(166,1)}
       120:{1,2,4,6}:{(94,1),(95,1),(96,1),(141,1),(142,1)}
       121:{1,3,5}:{(96,1),(136,1),(142,1),(165,1)}
       122:{2,3,5,6}:{(97,1),(104,1),(143,1),(144,1),(149,1),(151,1)}
       123:{2,3,4,6,7}:{(97,1),(106,1),(143,1),(145,1),(152,1),(171,1)}
       124:{1,2,4,6}:{(97,1),(98,1),(144,1),(146,1),(169,1)}
       125:{1,3,5,7}:{(98,1),(108,1),(146,1),(147,1),(170,1)}
       126:{1,2,3,6}:{(99,1),(100,1),(146,1),(148,1)}
       127:{1,2,4,7}:{(99,1),(101,1),(147,1),(148,1)}
       128:{2,3,4,6}:{(100,1),(101,1),(113,1),(148,1),(149,1),(153,1)}
       129:{1,4,5,7}:{(102,1),(103,1),(105,1),(115,1)}
       130:{2,4,5,7}:{(102,1),(104,1),(106,1),(143,1)}
       131:{1,2,4,5,6}:{(103,1),(104,1),(107,1),(116,1),(144,1),(150,1),(151,1),(154,1),(156,1),(169,1)}
       132:{1,2,4,6,7}:{(105,1),(106,1),(107,1),(109,1),(150,1),(152,1)}
       133:{3,6}:{(107,1),(108,1)}
       134:{3,4,7}:{(108,1),(111,1),(153,1)}
       135:{1,2,4,6}:{(110,1),(111,1),(112,1),(113,1),(153,1),(154,1),(156,1),(169,1)}
       136:{1,4,5}:{(112,1),(114,1),(121,1)}
       137:{2,4,5}:{(113,1),(114,1),(149,1)}
       138:{1,2,5,7}:{(115,1),(116,1),(117,1),(155,1)}
       139:{2,3,5,6}:{(116,1),(118,1),(151,1),(155,1),(156,1),(157,1)}
       140:{2,3,6,7}:{(117,1),(118,1),(152,1),(155,1)}
       141:{2,3,4,6}:{(118,1),(119,1),(120,1),(153,1),(156,1),(157,1)}
       142:{1,2,5}:{(120,1),(121,1),(157,1)}
       143:{2,3,5,7}:{(122,1),(123,1),(130,1),(158,1),(163,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(158,1),(159,1),(162,1)}
       145:{1,2,4,6,7}:{(123,1),(124,1),(158,1),(160,1),(173,1)}
       146:{1,3,6}:{(124,1),(125,1),(133,1)}
       147:{1,3,4,7}:{(125,1),(127,1),(134,1),(161,1),(173,1)}
       148:{1,2,4,6}:{(126,1),(127,1),(128,1),(161,1),(162,1)}
       149:{2,3,5}:{(128,1),(137,1),(162,1),(165,1)}
       150:{1,2,4,5,7}:{(129,1),(130,1),(131,1),(132,1),(138,1),(158,1),(163,1),(166,1),(173,1)}
       151:{3,5,6}:{(131,1),(133,1),(163,1),(164,1),(165,1)}
       152:{3,6,7}:{(132,1),(133,1),(163,1)}
       153:{3,4,6}:{(133,1),(134,1),(135,1),(165,1)}
       154:{1,2,4,5}:{(135,1),(136,1),(137,1),(142,1),(162,1),(165,1),(167,1),(174,1)}
       155:{2,3,5,7}:{(138,1),(139,1),(140,1),(163,1),(166,1)}
       156:{2,4,6}:{(139,1),(164,1),(166,1),(167,1)}
       157:{2,3,5}:{(141,1),(142,1),(165,1),(167,1)}
       158:{1,2,5,7}:{(143,1),(144,1),(145,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(146,1),(151,1),(168,1),(169,1),(170,1)}
       160:{1,3,6,7}:{(145,1),(146,1),(152,1),(168,1)}
       161:{1,3,4,6}:{(146,1),(147,1),(148,1),(153,1),(169,1),(170,1)}
       162:{1,2,5}:{(148,1),(149,1),(170,1)}
       163:{3,5,7}:{(150,1),(151,1),(152,1),(171,1)}
       164:{3,4,6}:{(151,1),(156,1),(169,1),(171,1),(172,1)}
       165:{3,5}:{(153,1),(154,1)}
       166:{2,4,7}:{(155,1),(156,1),(171,1)}
       167:{2,4,5}:{(156,1),(157,1),(172,1)}
       168:{1,3,5,7}:{(158,1),(159,1),(160,1),(163,1),(173,1)}
       169:{1,4,6}:{(159,1),(164,1),(173,1),(174,1)}
       170:{1,3,5}:{(161,1),(162,1),(165,1),(174,1)}
       171:{3,4,7}:{(163,1),(164,1),(166,1),(173,1)}
       172:{3,4,5}:{(164,1),(165,1),(167,1),(174,1)}
       173:{1,4,7}:{(168,1),(169,1),(171,1)}
       174:{1,4,5}:{(169,1),(170,1),(172,1)}

1731 :   0:{2,3,4,5,7}:{(1,1),(2,1),(17,1),(51,1),(111,1),(128,1),(129,1),(166,1),(174,1),(179,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(8,1),(97,1),(187,1),(192,1),(195,1)}
         2:{1,2,4,5,7}:{(0,1),(8,1),(9,1),(31,1),(39,1),(90,1),(98,1),(99,1)}
         3:{1,3,4,5,7}:{(10,1),(11,1),(21,1),(47,1),(69,1),(130,1),(164,1),(165,1),(174,1),(199,1)}
         4:{2,4,5,6,7}:{(13,1),(60,1),(198,1)}
         5:{3,4,5,6}:{(14,1),(15,1),(16,1),(65,1),(165,1),(200,1)}
         6:{2,3,5,6}:{(1,1),(16,1),(17,1),(18,1),(65,1),(111,1),(204,1)}
         7:{2,3,4,6,7}:{(1,1),(17,1),(19,1),(60,1),(124,1),(128,1),(176,1)}
         8:{1,2,4,6}:{(1,1),(2,1),(18,1),(20,1),(67,1)}
         9:{1,3,5,7}:{(2,1),(20,1),(21,1),(69,1),(174,1)}
        10:{1,3,4,6}:{(3,1),(24,1),(26,1),(138,1),(158,1),(192,1),(207,1)}
        11:{1,2,4,5,7}:{(3,1),(26,1),(27,1),(31,1),(77,1),(90,1),(139,1),(140,1)}
        12:{1,2,3,5,7}:{(9,1),(27,1),(30,1),(31,1),(90,1)}
        13:{3,5,6,7}:{(4,1),(32,1),(33,1),(206,1)}
        14:{3,4,5,7}:{(5,1),(32,1),(36,1),(37,1),(96,1)}
        15:{1,4,5,6}:{(5,1),(35,1),(36,1),(185,1),(207,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(37,1),(140,1),(187,1)}
        17:{2,3,5,7}:{(6,1),(7,1),(37,1),(39,1),(96,1),(193,1)}
        18:{1,2,5,6}:{(6,1),(8,1),(39,1),(40,1),(90,1)}
        19:{1,2,4,6,7}:{(7,1),(8,1),(39,1),(41,1),(98,1)}
        20:{1,3,6}:{(8,1),(9,1),(192,1)}
        21:{1,3,4,7}:{(9,1),(31,1),(42,1),(98,1),(148,1)}
        22:{1,4,5,6,7}:{(43,1),(101,1),(178,1)}
        23:{3,4,5,6}:{(44,1),(45,1),(46,1),(107,1),(129,1),(180,1)}
        24:{1,3,5,6}:{(10,1),(45,1),(47,1),(48,1),(69,1),(107,1),(209,1)}
        25:{1,3,4,6,7}:{(10,1),(47,1),(49,1),(101,1),(160,1),(164,1),(196,1)}
        26:{1,2,4,6}:{(10,1),(11,1),(48,1),(50,1),(109,1)}
        27:{2,3,5,7}:{(11,1),(50,1),(51,1),(111,1),(174,1)}
        28:{2,3,4,5}:{(52,1),(53,1),(118,1),(165,1),(173,1)}
        29:{1,3,4,5}:{(54,1),(55,1),(115,1),(129,1),(171,1)}
        30:{1,2,3,6}:{(12,1),(20,1),(50,1),(58,1)}
        31:{1,2,4,7}:{(12,1),(21,1),(51,1),(58,1)}
        32:{3,4,6,7}:{(13,1),(14,1),(59,1),(60,1),(124,1),(200,1)}
        33:{1,5,6,7}:{(13,1),(59,1),(209,1)}
        34:{2,3,5,6,7}:{(13,1),(17,1),(60,1),(61,1),(124,1),(167,1)}
        35:{1,3,5,6}:{(15,1),(54,1),(62,1),(63,1),(65,1),(171,1),(202,1)}
        36:{1,4,5,7}:{(14,1),(15,1),(59,1),(62,1)}
        37:{2,4,5,7}:{(14,1),(16,1),(17,1),(60,1)}
        38:{1,2,4,5,6}:{(15,1),(16,1),(18,1),(63,1),(64,1),(65,1),(67,1),(121,1),(127,1),(175,1),(178,1),(204,1)}
        39:{1,2,5,7}:{(17,1),(18,1),(19,1),(66,1)}
        40:{1,3,5,6}:{(18,1),(20,1),(65,1),(66,1),(67,1),(69,1)}
        41:{1,3,6,7}:{(19,1),(20,1),(66,1),(124,1)}
        42:{1,3,4,6}:{(20,1),(21,1),(58,1),(67,1),(69,1),(119,1)}
        43:{3,5,6,7}:{(22,1),(70,1),(72,1),(194,1)}
        44:{3,4,5,7}:{(23,1),(70,1),(74,1),(75,1),(137,1)}
        45:{1,4,5,6}:{(23,1),(24,1),(74,1),(99,1),(158,1)}
        46:{2,4,5,6}:{(23,1),(73,1),(75,1),(156,1),(195,1)}
        47:{1,3,5,7}:{(24,1),(25,1),(74,1),(77,1),(137,1),(205,1)}
        48:{1,2,5,6}:{(24,1),(26,1),(77,1),(78,1),(90,1)}
        49:{1,2,4,6,7}:{(25,1),(26,1),(77,1),(79,1),(139,1)}
        50:{2,3,6}:{(26,1),(27,1),(192,1)}
        51:{2,3,4,7}:{(27,1),(31,1),(80,1),(139,1),(148,1)}
        52:{2,3,4,6}:{(28,1),(73,1),(81,1),(82,1),(138,1)}
        53:{1,2,4,5}:{(28,1),(82,1),(83,1),(143,1),(185,1),(189,1)}
        54:{1,3,4,6}:{(29,1),(35,1),(84,1),(85,1),(97,1)}
        55:{1,2,4,5}:{(29,1),(85,1),(86,1),(143,1),(156,1),(189,1)}
        56:{1,2,3,5,6}:{(30,1),(40,1),(78,1),(87,1),(88,1),(90,1),(95,1),(136,1),(142,1),(149,1),(151,1),(189,1),(192,1),(208,1)}
        57:{1,2,3,6,7}:{(30,1),(41,1),(79,1),(87,1),(89,1),(152,1),(181,1),(192,1),(208,1)}
        58:{1,2,4,6}:{(30,1),(31,1),(42,1),(80,1),(90,1)}
        59:{1,4,6,7}:{(32,1),(33,1),(36,1),(91,1),(207,1)}
        60:{2,4,6,7}:{(32,1),(34,1),(37,1),(187,1)}
        61:{1,2,5,6,7}:{(33,1),(34,1),(39,1),(92,1),(93,1),(151,1),(193,1)}
        62:{1,3,5,7}:{(35,1),(36,1),(84,1),(91,1),(94,1),(96,1)}
        63:{1,2,5,6}:{(35,1),(85,1),(94,1),(95,1),(189,1),(208,1)}
        64:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(39,1),(92,1),(94,1),(96,1),(98,1),(154,1),(155,1),(193,1)}
        65:{3,5,6}:{(38,1),(96,1),(97,1),(149,1),(192,1)}
        66:{1,3,5,7}:{(39,1),(40,1),(41,1),(96,1),(98,1)}
        67:{1,4,6}:{(40,1),(97,1),(98,1),(99,1)}
        68:{1,3,4,6,7}:{(41,1),(42,1),(89,1),(98,1),(100,1),(148,1),(153,1),(158,1),(192,1)}
        69:{1,3,5}:{(42,1),(90,1),(99,1),(149,1)}
        70:{3,4,6,7}:{(43,1),(44,1),(101,1),(102,1),(160,1),(180,1)}
        71:{1,3,5,6,7}:{(43,1),(47,1),(101,1),(103,1),(131,1),(160,1)}
        72:{2,5,6,7}:{(43,1),(102,1),(204,1)}
        73:{2,3,5,6}:{(46,1),(52,1),(104,1),(105,1),(107,1),(173,1),(203,1)}
        74:{1,4,5,7}:{(44,1),(45,1),(47,1),(101,1)}
        75:{2,4,5,7}:{(44,1),(46,1),(102,1),(104,1)}
        76:{1,2,4,5,6}:{(45,1),(46,1),(48,1),(105,1),(106,1),(107,1),(109,1),(121,1),(163,1),(175,1),(198,1),(209,1)}
        77:{1,2,5,7}:{(47,1),(48,1),(49,1),(108,1)}
        78:{2,3,5,6}:{(48,1),(50,1),(107,1),(108,1),(109,1),(111,1)}
        79:{2,3,6,7}:{(49,1),(50,1),(108,1),(160,1)}
        80:{2,3,4,6}:{(50,1),(51,1),(58,1),(109,1),(111,1),(119,1)}
        81:{2,3,4,7}:{(52,1),(104,1),(113,1),(164,1)}
        82:{1,2,4,6}:{(52,1),(53,1),(105,1),(113,1),(114,1),(163,1)}
        83:{1,3,5}:{(53,1),(114,1),(115,1)}
        84:{1,3,4,7}:{(54,1),(62,1),(116,1),(128,1)}
        85:{1,2,4,6}:{(54,1),(55,1),(63,1),(116,1),(117,1),(127,1)}
        86:{2,3,5}:{(55,1),(117,1),(118,1)}
        87:{1,2,3,5,7}:{(56,1),(57,1),(66,1),(108,1),(120,1),(122,1),(126,1),(162,1),(168,1),(174,1),(201,1)}
        88:{1,2,4,6}:{(56,1),(67,1),(109,1),(119,1),(120,1),(121,1),(127,1),(163,1)}
        89:{1,2,4,6,7}:{(57,1),(58,1),(68,1),(110,1),(120,1),(122,1),(175,1),(176,1),(196,1)}
        90:{1,2,5}:{(58,1),(69,1),(111,1)}
        91:{1,3,6,7}:{(59,1),(62,1),(123,1),(124,1),(202,1)}
        92:{1,2,4,6,7}:{(59,1),(60,1),(61,1),(64,1),(123,1),(124,1),(125,1),(175,1),(176,1)}
        93:{1,3,5,6,7}:{(61,1),(66,1),(124,1),(125,1),(131,1),(177,1)}
        94:{1,2,5,7}:{(62,1),(63,1),(116,1),(123,1),(126,1)}
        95:{2,3,5,6}:{(63,1),(65,1),(117,1),(126,1),(127,1),(173,1),(203,1),(204,1)}
        96:{3,5,7}:{(64,1),(65,1),(124,1),(128,1)}
        97:{3,4,6}:{(65,1),(67,1),(127,1),(128,1),(129,1)}
        98:{1,4,7}:{(66,1),(67,1),(128,1)}
        99:{1,4,5}:{(67,1),(69,1),(129,1)}
       100:{1,3,5,7}:{(68,1),(69,1),(122,1),(130,1),(131,1),(174,1),(177,1)}
       101:{1,4,6,7}:{(70,1),(71,1),(74,1),(158,1)}
       102:{2,4,6,7}:{(70,1),(72,1),(75,1),(132,1),(195,1)}
       103:{1,2,5,6,7}:{(71,1),(72,1),(77,1),(133,1),(134,1),(151,1),(205,1)}
       104:{2,3,5,7}:{(73,1),(75,1),(81,1),(132,1),(135,1),(137,1)}
       105:{1,2,5,6}:{(73,1),(82,1),(135,1),(136,1),(189,1),(208,1)}
       106:{1,2,4,5,7}:{(74,1),(75,1),(76,1),(77,1),(133,1),(135,1),(137,1),(139,1),(183,1),(184,1),(205,1)}
       107:{3,5,6}:{(76,1),(137,1),(138,1),(149,1),(192,1)}
       108:{2,3,5,7}:{(77,1),(78,1),(79,1),(137,1),(139,1)}
       109:{2,4,6}:{(78,1),(138,1),(139,1),(140,1)}
       110:{2,3,4,6,7}:{(79,1),(80,1),(89,1),(139,1),(141,1),(148,1),(182,1),(187,1),(192,1)}
       111:{2,3,5}:{(80,1),(90,1),(140,1),(149,1)}
       112:{1,2,3,5}:{(83,1),(86,1),(142,1),(143,1),(189,1)}
       113:{1,2,4,7}:{(81,1),(82,1),(135,1),(144,1),(184,1)}
       114:{1,3,6}:{(82,1),(83,1),(144,1)}
       115:{1,3,4}:{(83,1),(143,1)}
       116:{1,2,4,7}:{(84,1),(85,1),(94,1),(146,1),(155,1)}
       117:{2,3,6}:{(85,1),(86,1),(146,1)}
       118:{2,3,4}:{(86,1),(143,1)}
       119:{3,4,6}:{(88,1),(148,1),(149,1),(192,1)}
       120:{1,2,4,7}:{(87,1),(88,1),(98,1),(139,1),(148,1),(155,1),(184,1)}
       121:{1,2,4,5}:{(88,1),(90,1),(99,1),(140,1),(149,1),(156,1),(185,1),(189,1)}
       122:{1,2,5,7}:{(89,1),(90,1),(100,1),(141,1),(151,1),(193,1),(205,1)}
       123:{1,2,6,7}:{(91,1),(94,1),(152,1),(208,1)}
       124:{3,6,7}:{(92,1),(96,1),(192,1)}
       125:{1,4,6,7}:{(93,1),(98,1),(153,1),(154,1),(158,1)}
       126:{2,3,5,7}:{(94,1),(95,1),(96,1),(146,1),(152,1),(155,1),(193,1)}
       127:{2,4,6}:{(95,1),(97,1),(155,1),(156,1)}
       128:{3,4,7}:{(96,1),(97,1),(98,1),(155,1)}
       129:{3,4,5}:{(97,1),(99,1),(149,1),(156,1)}
       130:{1,4,5,7}:{(98,1),(99,1),(100,1),(157,1),(158,1)}
       131:{1,3,5,6}:{(100,1),(151,1),(158,1),(192,1),(194,1)}
       132:{2,3,6,7}:{(102,1),(104,1),(159,1),(160,1),(203,1)}
       133:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(106,1),(159,1),(160,1),(161,1),(175,1),(196,1)}
       134:{2,3,5,6,7}:{(103,1),(108,1),(160,1),(161,1),(167,1),(197,1)}
       135:{1,2,5,7}:{(104,1),(105,1),(113,1),(159,1),(162,1)}
       136:{1,3,5,6}:{(105,1),(107,1),(114,1),(162,1),(163,1),(171,1),(202,1),(209,1)}
       137:{3,5,7}:{(106,1),(107,1),(160,1),(164,1)}
       138:{3,4,6}:{(107,1),(109,1),(163,1),(164,1),(165,1)}
       139:{2,4,7}:{(108,1),(109,1),(164,1)}
       140:{2,4,5}:{(109,1),(111,1),(165,1)}
       141:{2,3,5,7}:{(110,1),(111,1),(122,1),(166,1),(167,1),(174,1),(197,1)}
       142:{1,2,3,6}:{(112,1),(114,1),(117,1),(168,1),(169,1)}
       143:{1,2,4}:{(112,1),(115,1),(118,1)}
       144:{1,3,7}:{(113,1),(114,1)}
       145:{1,3,4,6}:{(114,1),(115,1),(119,1),(163,1),(169,1),(170,1),(171,1),(202,1)}
       146:{2,3,7}:{(116,1),(117,1)}
       147:{2,3,4,6}:{(117,1),(118,1),(119,1),(127,1),(169,1),(172,1),(173,1),(203,1)}
       148:{3,4,7}:{(119,1),(120,1),(174,1)}
       149:{3,5}:{(119,1),(121,1)}
       150:{1,2,4,5,7}:{(120,1),(121,1),(122,1),(130,1),(166,1),(174,1),(175,1),(179,1),(199,1),(201,1)}
       151:{1,2,5,6}:{(122,1),(131,1),(167,1),(175,1),(204,1),(209,1)}
       152:{2,3,6,7}:{(123,1),(124,1),(126,1),(176,1),(203,1)}
       153:{3,4,6,7}:{(124,1),(125,1),(128,1),(176,1),(177,1),(180,1)}
       154:{1,4,5,7}:{(125,1),(177,1),(178,1)}
       155:{2,4,7}:{(126,1),(127,1),(128,1)}
       156:{2,4,5}:{(127,1),(129,1),(173,1)}
       157:{3,4,5,7}:{(128,1),(129,1),(130,1),(174,1),(177,1),(179,1),(180,1)}
       158:{1,4,6}:{(130,1),(131,1),(180,1)}
       159:{1,2,6,7}:{(132,1),(135,1),(181,1),(208,1)}
       160:{3,6,7}:{(133,1),(137,1),(192,1)}
       161:{2,4,6,7}:{(134,1),(139,1),(182,1),(183,1),(187,1)}
       162:{1,3,5,7}:{(135,1),(136,1),(137,1),(144,1),(181,1),(184,1),(205,1)}
       163:{1,4,6}:{(136,1),(138,1),(184,1),(185,1)}
       164:{3,4,7}:{(137,1),(138,1),(139,1),(184,1)}
       165:{3,4,5}:{(138,1),(140,1),(149,1),(185,1)}
       166:{2,4,5,7}:{(139,1),(140,1),(141,1),(186,1),(187,1)}
       167:{2,3,5,6}:{(141,1),(151,1),(187,1),(192,1),(206,1)}
       168:{1,2,3,7}:{(142,1),(144,1),(146,1),(188,1)}
       169:{1,2,4,6}:{(142,1),(143,1),(145,1),(147,1),(188,1),(189,1),(208,1)}
       170:{1,3,4,7}:{(144,1),(145,1),(148,1),(184,1),(188,1),(190,1)}
       171:{1,3,5}:{(145,1),(149,1),(185,1),(189,1)}
       172:{2,3,4,7}:{(146,1),(147,1),(148,1),(155,1),(188,1),(191,1)}
       173:{2,3,5}:{(147,1),(149,1),(156,1),(189,1)}
       174:{3,5,7}:{(148,1),(149,1),(150,1),(192,1)}
       175:{1,2,4,6}:{(150,1),(151,1),(158,1),(187,1),(192,1),(195,1),(207,1),(208,1)}
       176:{2,4,6,7}:{(152,1),(153,1),(155,1),(193,1),(195,1)}
       177:{3,5,7}:{(153,1),(154,1),(193,1),(194,1)}
       178:{1,4,5,6}:{(154,1),(158,1),(194,1)}
       179:{2,4,5,7}:{(155,1),(156,1),(157,1),(191,1),(193,1),(195,1)}
       180:{3,4,6}:{(157,1),(158,1),(192,1),(194,1),(195,1)}
       181:{1,3,6,7}:{(159,1),(160,1),(162,1),(196,1),(202,1)}
       182:{3,4,6,7}:{(160,1),(161,1),(164,1),(196,1),(197,1),(200,1)}
       183:{2,4,5,7}:{(161,1),(197,1),(198,1)}
       184:{1,4,7}:{(162,1),(163,1),(164,1)}
       185:{1,4,5}:{(163,1),(165,1),(171,1)}
       186:{3,4,5,7}:{(164,1),(165,1),(166,1),(174,1),(197,1),(199,1),(200,1)}
       187:{2,4,6}:{(166,1),(167,1),(200,1)}
       188:{1,2,4,7}:{(168,1),(169,1),(170,1),(172,1),(201,1)}
       189:{1,2,5}:{(169,1),(171,1),(173,1)}
       190:{1,3,5,7}:{(170,1),(171,1),(174,1),(199,1),(201,1),(202,1)}
       191:{2,3,5,7}:{(172,1),(173,1),(174,1),(179,1),(201,1),(203,1)}
       192:{3,6}:{(174,1),(175,1)}
       193:{2,5,7}:{(176,1),(177,1),(204,1)}
       194:{3,5,6}:{(177,1),(178,1),(180,1),(204,1)}
       195:{2,4,6}:{(179,1),(180,1),(203,1),(204,1)}
       196:{1,4,6,7}:{(181,1),(182,1),(184,1),(205,1),(207,1)}
       197:{3,5,7}:{(182,1),(183,1),(205,1),(206,1)}
       198:{2,4,5,6}:{(183,1),(187,1),(206,1)}
       199:{1,4,5,7}:{(184,1),(185,1),(186,1),(190,1),(205,1),(207,1)}
       200:{3,4,6}:{(186,1),(187,1),(192,1),(206,1),(207,1)}
       201:{1,2,5,7}:{(188,1),(189,1),(190,1),(191,1),(208,1)}
       202:{1,3,6}:{(190,1),(192,1),(207,1),(208,1)}
       203:{2,3,6}:{(191,1),(192,1),(195,1),(208,1)}
       204:{2,5,6}:{(193,1),(194,1),(195,1)}
       205:{1,5,7}:{(196,1),(197,1),(209,1)}
       206:{3,5,6}:{(197,1),(198,1),(200,1),(209,1)}
       207:{1,4,6}:{(199,1),(200,1),(202,1),(209,1)}
       208:{1,2,6}:{(201,1),(202,1),(203,1)}
       209:{1,5,6}:{(205,1),(206,1),(207,1)}

1732 :   0:{1,4,5,6,7}:{(1,1),(8,1),(195,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(4,1),(202,1)}
         2:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(32,1),(193,1)}
         3:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(27,1),(32,1),(163,1)}
         4:{2,5,6,7}:{(1,1),(9,1),(206,1)}
         5:{3,4,5,6}:{(7,1),(11,1),(12,1),(37,1),(168,1),(193,1)}
         6:{1,3,4,5,7}:{(13,1),(14,1),(27,1),(62,1),(72,1),(75,1),(108,1),(122,1),(158,1),(162,1)}
         7:{3,4,5,7}:{(2,1),(5,1),(15,1),(16,1),(45,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(181,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(18,1),(200,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(19,1),(20,1),(43,1),(87,1),(138,1)}
        11:{1,4,5,6}:{(5,1),(15,1),(21,1),(148,1),(181,1)}
        12:{2,4,5,6}:{(5,1),(16,1),(22,1),(183,1),(200,1)}
        13:{1,3,4,6}:{(6,1),(21,1),(24,1),(53,1),(135,1),(179,1),(181,1)}
        14:{1,2,4,5,7}:{(6,1),(24,1),(25,1),(43,1),(56,1),(82,1),(93,1),(97,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(11,1),(27,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(12,1),(28,1)}
        17:{1,3,4,6,7}:{(8,1),(13,1),(27,1),(30,1),(32,1),(62,1),(65,1)}
        18:{2,3,6,7}:{(9,1),(28,1),(31,1),(32,1),(191,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(29,1),(31,1),(32,1),(33,1),(65,1),(159,1)}
        20:{2,3,5,6,7}:{(10,1),(32,1),(33,1),(60,1),(66,1),(112,1)}
        21:{1,3,5,6}:{(11,1),(13,1),(27,1),(35,1),(37,1),(113,1),(122,1)}
        22:{2,3,5,6}:{(12,1),(28,1),(34,1),(36,1),(37,1),(165,1),(191,1)}
        23:{1,2,4,5,6}:{(11,1),(12,1),(29,1),(35,1),(36,1),(37,1),(67,1),(70,1),(71,1),(113,1),(118,1),(159,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(35,1),(38,1),(70,1)}
        25:{2,3,5,7}:{(14,1),(38,1),(40,1),(74,1),(158,1)}
        26:{2,3,4,5}:{(34,1),(41,1),(72,1),(127,1),(165,1)}
        27:{1,3,5,7}:{(15,1),(17,1),(21,1),(43,1),(45,1),(87,1)}
        28:{2,3,5,7}:{(16,1),(18,1),(22,1),(42,1),(44,1),(45,1)}
        29:{1,2,4,5,7}:{(15,1),(16,1),(19,1),(23,1),(43,1),(44,1),(45,1),(49,1),(82,1),(83,1),(87,1)}
        30:{1,2,4,6,7}:{(17,1),(24,1),(43,1),(46,1),(82,1)}
        31:{1,2,6,7}:{(18,1),(44,1),(47,1),(176,1)}
        32:{3,6,7}:{(19,1),(45,1),(179,1)}
        33:{2,4,6,7}:{(20,1),(48,1),(49,1),(82,1),(134,1)}
        34:{2,3,4,6}:{(22,1),(26,1),(42,1),(50,1),(53,1)}
        35:{1,2,5,6}:{(21,1),(24,1),(43,1),(51,1),(97,1)}
        36:{1,2,5,6}:{(22,1),(44,1),(50,1),(52,1),(142,1),(176,1)}
        37:{3,5,6}:{(23,1),(45,1),(53,1),(144,1),(179,1)}
        38:{2,3,6}:{(24,1),(25,1),(179,1)}
        39:{1,2,3,5,7}:{(25,1),(54,1),(56,1),(97,1),(99,1)}
        40:{2,3,4,7}:{(25,1),(55,1),(56,1),(82,1),(132,1)}
        41:{1,2,4,5}:{(26,1),(50,1),(58,1),(94,1),(102,1),(142,1)}
        42:{2,3,4,7}:{(28,1),(34,1),(59,1),(62,1)}
        43:{1,2,5,7}:{(27,1),(30,1),(35,1),(60,1)}
        44:{1,2,5,7}:{(28,1),(31,1),(36,1),(59,1),(61,1)}
        45:{3,5,7}:{(29,1),(32,1),(37,1),(62,1)}
        46:{2,3,6,7}:{(30,1),(32,1),(38,1),(60,1)}
        47:{1,3,6,7}:{(31,1),(32,1),(61,1),(65,1),(157,1)}
        48:{3,4,6,7}:{(32,1),(33,1),(62,1),(65,1),(66,1),(109,1)}
        49:{2,4,5,7}:{(33,1),(66,1),(67,1)}
        50:{1,2,4,6}:{(34,1),(36,1),(41,1),(59,1),(68,1),(71,1)}
        51:{2,3,5,6}:{(35,1),(37,1),(38,1),(60,1),(70,1),(74,1)}
        52:{1,3,5,6}:{(36,1),(37,1),(61,1),(68,1),(71,1),(113,1),(116,1),(157,1)}
        53:{3,4,6}:{(37,1),(62,1),(70,1),(71,1),(72,1)}
        54:{1,2,3,6}:{(38,1),(39,1),(73,1),(125,1)}
        55:{2,3,4,6}:{(38,1),(40,1),(70,1),(73,1),(74,1),(117,1)}
        56:{1,2,4,7}:{(39,1),(40,1),(73,1),(75,1)}
        57:{2,3,4,5,7}:{(40,1),(74,1),(76,1),(77,1),(107,1),(124,1),(158,1),(168,1),(190,1),(199,1)}
        58:{1,3,5}:{(41,1),(68,1),(79,1)}
        59:{1,2,4,7}:{(42,1),(44,1),(50,1),(80,1),(83,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(46,1),(51,1),(82,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(47,1),(52,1),(80,1),(83,1),(87,1)}
        62:{3,4,7}:{(45,1),(53,1),(82,1),(83,1)}
        63:{1,2,3,6,7}:{(46,1),(47,1),(54,1),(81,1),(85,1),(151,1),(176,1),(179,1),(201,1)}
        64:{2,3,4,6,7}:{(46,1),(48,1),(55,1),(82,1),(85,1),(86,1),(132,1),(134,1),(179,1)}
        65:{1,4,6,7}:{(47,1),(48,1),(83,1),(87,1),(135,1)}
        66:{3,5,7}:{(48,1),(49,1),(87,1),(88,1)}
        67:{2,4,5,6}:{(49,1),(88,1),(134,1)}
        68:{1,3,6}:{(50,1),(58,1),(80,1)}
        69:{1,2,3,5,6}:{(51,1),(52,1),(54,1),(81,1),(90,1),(92,1),(97,1),(138,1),(142,1),(144,1),(149,1),(176,1),(179,1),(184,1)}
        70:{2,4,6}:{(51,1),(53,1),(82,1),(93,1)}
        71:{1,4,6}:{(52,1),(53,1),(83,1),(94,1)}
        72:{3,4,5}:{(53,1),(93,1),(94,1),(144,1)}
        73:{1,2,4,6}:{(54,1),(55,1),(56,1),(96,1),(97,1)}
        74:{2,3,5}:{(55,1),(93,1),(97,1),(144,1)}
        75:{1,3,4,7}:{(56,1),(96,1),(99,1),(132,1),(188,1)}
        76:{1,2,4,5,7}:{(56,1),(57,1),(97,1),(99,1),(100,1),(148,1),(150,1),(188,1)}
        77:{2,3,4,6}:{(57,1),(98,1),(100,1),(134,1),(179,1),(186,1),(200,1)}
        78:{1,2,3,5}:{(58,1),(90,1),(102,1),(142,1),(152,1)}
        79:{1,3,4}:{(58,1),(102,1)}
        80:{1,3,7}:{(59,1),(68,1)}
        81:{1,2,3,5,7}:{(60,1),(61,1),(63,1),(69,1),(104,1),(106,1),(111,1),(156,1),(158,1),(172,1),(198,1)}
        82:{2,4,7}:{(60,1),(62,1),(70,1)}
        83:{1,4,7}:{(61,1),(62,1),(71,1)}
        84:{3,4,5,7}:{(62,1),(66,1),(72,1),(107,1),(108,1),(109,1),(158,1)}
        85:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(73,1),(106,1),(110,1),(111,1),(159,1),(207,1)}
        86:{2,3,5,7}:{(64,1),(66,1),(74,1),(107,1),(111,1),(112,1),(158,1)}
        87:{1,5,7}:{(65,1),(66,1),(113,1)}
        88:{3,5,6}:{(66,1),(67,1),(109,1),(113,1)}
        89:{2,4,5,6,7}:{(67,1),(114,1),(160,1)}
        90:{1,2,3,6}:{(68,1),(78,1),(104,1),(115,1),(173,1)}
        91:{1,3,4,6}:{(68,1),(71,1),(79,1),(105,1),(115,1),(116,1),(117,1),(157,1)}
        92:{1,2,4,6}:{(69,1),(70,1),(71,1),(106,1),(117,1),(118,1),(171,1),(197,1)}
        93:{2,4,5}:{(70,1),(72,1),(74,1)}
        94:{1,4,5}:{(71,1),(72,1),(116,1)}
        95:{3,4,5,6}:{(72,1),(109,1),(119,1),(120,1),(121,1),(169,1)}
        96:{1,3,4,6}:{(73,1),(75,1),(117,1),(122,1),(125,1),(171,1)}
        97:{1,2,5}:{(73,1),(74,1),(122,1)}
        98:{2,3,5,6}:{(74,1),(77,1),(119,1),(123,1),(124,1),(169,1),(206,1)}
        99:{1,3,5,7}:{(75,1),(76,1),(122,1),(125,1),(158,1)}
       100:{1,2,4,6}:{(76,1),(77,1),(123,1),(125,1),(171,1)}
       101:{2,3,4,6,7}:{(77,1),(124,1),(126,1),(160,1),(194,1),(199,1),(207,1)}
       102:{1,2,4}:{(78,1),(79,1),(127,1)}
       103:{1,3,4,5}:{(79,1),(116,1),(128,1),(129,1),(168,1)}
       104:{1,2,3,7}:{(80,1),(90,1),(130,1),(189,1)}
       105:{1,3,4,7}:{(80,1),(83,1),(91,1),(130,1),(131,1),(132,1)}
       106:{1,2,4,7}:{(81,1),(82,1),(83,1),(92,1),(132,1),(188,1),(205,1)}
       107:{2,4,5,7}:{(82,1),(84,1),(86,1),(93,1),(134,1)}
       108:{1,4,5,7}:{(83,1),(84,1),(87,1),(94,1),(131,1),(135,1)}
       109:{3,4,6}:{(84,1),(88,1),(134,1),(135,1),(179,1)}
       110:{1,3,4,6,7}:{(85,1),(96,1),(132,1),(137,1),(151,1),(179,1),(181,1),(188,1),(203,1)}
       111:{1,2,5,7}:{(85,1),(86,1),(87,1),(97,1),(137,1),(138,1),(209,1)}
       112:{2,3,5,6}:{(86,1),(88,1),(134,1),(138,1),(179,1)}
       113:{1,5,6}:{(87,1),(88,1),(135,1)}
       114:{3,5,6,7}:{(88,1),(89,1),(136,1),(140,1)}
       115:{1,2,4,6}:{(90,1),(91,1),(102,1),(130,1),(141,1),(142,1),(176,1)}
       116:{1,3,5}:{(91,1),(94,1),(142,1),(144,1)}
       117:{3,4,6}:{(92,1),(132,1),(144,1),(179,1)}
       118:{1,2,4,5}:{(92,1),(93,1),(94,1),(97,1),(142,1),(144,1),(148,1),(183,1)}
       119:{2,4,5,6}:{(93,1),(95,1),(98,1),(134,1),(146,1)}
       120:{1,4,5,6}:{(94,1),(95,1),(135,1),(143,1),(147,1)}
       121:{3,4,5,7}:{(95,1),(136,1),(146,1),(147,1),(187,1)}
       122:{1,3,5}:{(96,1),(97,1),(144,1),(148,1)}
       123:{1,2,5,6}:{(97,1),(98,1),(100,1),(149,1),(150,1)}
       124:{2,3,5,7}:{(98,1),(101,1),(146,1),(150,1),(187,1),(209,1)}
       125:{1,3,6}:{(99,1),(100,1),(179,1)}
       126:{1,2,4,6,7}:{(100,1),(101,1),(150,1),(151,1),(188,1)}
       127:{2,3,4}:{(102,1),(152,1)}
       128:{1,2,4,5}:{(102,1),(103,1),(142,1),(152,1),(153,1),(183,1)}
       129:{1,3,4,6}:{(103,1),(143,1),(153,1),(154,1),(186,1)}
       130:{1,2,4,7}:{(104,1),(105,1),(115,1),(155,1),(156,1)}
       131:{1,3,5,7}:{(105,1),(108,1),(116,1),(156,1),(157,1),(158,1)}
       132:{3,4,7}:{(106,1),(117,1),(158,1)}
       133:{1,2,4,5,7}:{(106,1),(107,1),(108,1),(111,1),(118,1),(156,1),(158,1),(159,1),(162,1),(190,1)}
       134:{2,4,6}:{(107,1),(109,1),(112,1)}
       135:{1,4,6}:{(108,1),(109,1),(113,1),(157,1)}
       136:{3,4,6,7}:{(109,1),(114,1),(121,1),(160,1),(161,1),(194,1)}
       137:{1,3,5,7}:{(110,1),(111,1),(122,1),(158,1),(162,1),(163,1),(208,1)}
       138:{1,2,5,6}:{(111,1),(112,1),(113,1),(159,1),(163,1),(206,1)}
       139:{2,3,5,6,7}:{(112,1),(114,1),(124,1),(160,1),(164,1),(194,1)}
       140:{1,5,6,7}:{(113,1),(114,1),(161,1)}
       141:{2,3,4,6}:{(115,1),(117,1),(127,1),(155,1),(165,1),(173,1),(191,1),(197,1)}
       142:{1,2,5}:{(115,1),(116,1),(165,1)}
       143:{1,3,5,6}:{(116,1),(120,1),(129,1),(157,1),(166,1),(167,1),(169,1)}
       144:{3,5}:{(117,1),(118,1)}
       145:{1,2,4,5,6}:{(118,1),(119,1),(120,1),(123,1),(159,1),(166,1),(169,1),(170,1),(171,1),(195,1),(197,1),(206,1)}
       146:{2,4,5,7}:{(119,1),(121,1),(124,1),(160,1)}
       147:{1,4,5,7}:{(120,1),(121,1),(161,1),(167,1)}
       148:{1,4,5}:{(122,1),(168,1),(171,1)}
       149:{1,3,5,6}:{(122,1),(123,1),(125,1),(169,1),(171,1),(172,1)}
       150:{1,2,5,7}:{(123,1),(124,1),(126,1),(172,1)}
       151:{1,3,6,7}:{(125,1),(126,1),(172,1),(194,1)}
       152:{2,3,5}:{(127,1),(128,1),(173,1)}
       153:{1,2,4,6}:{(128,1),(129,1),(166,1),(173,1),(174,1),(197,1)}
       154:{1,3,4,7}:{(129,1),(167,1),(174,1),(199,1)}
       155:{2,3,4,7}:{(130,1),(132,1),(141,1),(175,1),(189,1),(205,1)}
       156:{1,2,5,7}:{(130,1),(131,1),(142,1),(175,1),(176,1)}
       157:{1,3,6}:{(131,1),(135,1),(176,1),(179,1)}
       158:{3,5,7}:{(132,1),(133,1),(144,1),(179,1)}
       159:{1,2,4,6}:{(133,1),(134,1),(135,1),(138,1),(176,1),(179,1),(181,1),(200,1)}
       160:{2,4,6,7}:{(134,1),(136,1),(139,1),(146,1)}
       161:{1,4,6,7}:{(135,1),(136,1),(140,1),(147,1),(177,1)}
       162:{1,4,5,7}:{(137,1),(148,1),(178,1),(181,1),(188,1)}
       163:{1,3,5,6}:{(137,1),(138,1),(179,1),(181,1),(202,1)}
       164:{1,2,5,6,7}:{(138,1),(139,1),(140,1),(150,1),(180,1),(182,1),(209,1)}
       165:{2,3,5}:{(141,1),(142,1),(144,1),(183,1)}
       166:{1,2,5,6}:{(142,1),(143,1),(153,1),(176,1),(184,1),(185,1)}
       167:{1,3,5,7}:{(143,1),(147,1),(154,1),(177,1),(185,1),(187,1)}
       168:{3,4,5}:{(144,1),(148,1),(183,1),(186,1)}
       169:{3,5,6}:{(144,1),(145,1),(179,1),(186,1),(187,1)}
       170:{1,2,4,5,7}:{(145,1),(146,1),(147,1),(150,1),(180,1),(185,1),(187,1),(188,1),(204,1),(205,1),(209,1)}
       171:{1,4,6}:{(148,1),(149,1),(186,1),(188,1)}
       172:{1,3,5,7}:{(149,1),(150,1),(151,1),(187,1),(188,1)}
       173:{2,3,6}:{(152,1),(153,1),(189,1)}
       174:{1,2,4,7}:{(153,1),(154,1),(185,1),(189,1),(205,1)}
       175:{2,3,5,7}:{(155,1),(156,1),(158,1),(165,1),(190,1),(191,1)}
       176:{1,2,6}:{(156,1),(157,1),(191,1)}
       177:{1,3,6,7}:{(157,1),(161,1),(167,1),(192,1),(194,1)}
       178:{3,4,5,7}:{(158,1),(162,1),(168,1),(190,1),(193,1),(199,1),(208,1)}
       179:{3,6}:{(158,1),(159,1)}
       180:{1,2,4,6,7}:{(159,1),(160,1),(161,1),(164,1),(170,1),(192,1),(194,1),(196,1),(207,1)}
       181:{1,4,6}:{(162,1),(163,1),(193,1)}
       182:{1,3,5,6,7}:{(163,1),(164,1),(172,1),(194,1),(196,1),(208,1)}
       183:{2,4,5}:{(165,1),(168,1),(197,1)}
       184:{2,3,5,6}:{(165,1),(166,1),(169,1),(173,1),(191,1),(197,1),(198,1),(206,1)}
       185:{1,2,5,7}:{(166,1),(167,1),(174,1),(192,1),(198,1)}
       186:{3,4,6}:{(168,1),(169,1),(171,1),(197,1),(199,1)}
       187:{3,5,7}:{(169,1),(170,1),(194,1),(199,1)}
       188:{1,4,7}:{(171,1),(172,1),(199,1)}
       189:{2,3,7}:{(173,1),(174,1)}
       190:{2,4,5,7}:{(175,1),(178,1),(183,1),(200,1),(205,1),(209,1)}
       191:{2,3,6}:{(175,1),(176,1),(179,1),(200,1)}
       192:{1,2,6,7}:{(176,1),(177,1),(185,1),(201,1)}
       193:{3,4,6}:{(178,1),(179,1),(181,1),(200,1),(202,1)}
       194:{3,6,7}:{(179,1),(180,1),(187,1)}
       195:{1,4,5,6}:{(181,1),(202,1),(204,1)}
       196:{1,4,6,7}:{(181,1),(182,1),(188,1),(203,1),(204,1)}
       197:{2,4,6}:{(183,1),(184,1),(186,1),(205,1)}
       198:{2,3,5,7}:{(184,1),(185,1),(187,1),(189,1),(201,1),(205,1),(209,1)}
       199:{3,4,7}:{(186,1),(187,1),(188,1),(205,1)}
       200:{2,4,6}:{(190,1),(191,1),(193,1),(206,1)}
       201:{2,3,6,7}:{(191,1),(192,1),(194,1),(198,1),(207,1)}
       202:{3,5,6}:{(193,1),(195,1),(206,1),(208,1)}
       203:{3,4,6,7}:{(193,1),(194,1),(196,1),(199,1),(207,1),(208,1)}
       204:{1,4,5,7}:{(195,1),(196,1),(208,1)}
       205:{2,4,7}:{(197,1),(198,1),(199,1)}
       206:{2,5,6}:{(200,1),(202,1),(209,1)}
       207:{2,4,6,7}:{(200,1),(201,1),(203,1),(205,1),(209,1)}
       208:{3,5,7}:{(202,1),(203,1),(204,1),(209,1)}
       209:{2,5,7}:{(206,1),(207,1),(208,1)}

1733 :   0:{1,3,4,5,7}:{(1,1),(2,1),(10,1),(38,1),(76,1),(80,1),(87,1),(122,1),(125,1),(130,1)}
         1:{1,2,4,5,7}:{(0,1),(4,1),(5,1),(20,1),(22,1),(53,1),(59,1),(63,1)}
         2:{1,3,4,6}:{(0,1),(5,1),(6,1),(64,1),(147,1),(150,1),(155,1)}
         3:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(17,1),(48,1),(76,1),(93,1)}
         4:{2,3,5,7}:{(1,1),(12,1),(13,1),(43,1),(125,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(13,1),(14,1),(44,1)}
         6:{1,3,5,6}:{(2,1),(10,1),(14,1),(15,1),(45,1),(80,1),(145,1)}
         7:{1,3,5,6,7}:{(10,1),(16,1),(17,1),(18,1),(48,1),(121,1)}
         8:{1,4,5,6,7}:{(17,1),(18,1),(169,1)}
         9:{1,2,4,6,7}:{(3,1),(5,1),(19,1),(20,1),(53,1)}
        10:{1,3,5,7}:{(3,1),(6,1),(20,1),(21,1),(54,1),(120,1)}
        11:{1,2,3,5,7}:{(4,1),(22,1),(23,1),(56,1),(59,1)}
        12:{2,3,4,7}:{(4,1),(22,1),(25,1),(53,1),(98,1)}
        13:{2,3,6}:{(4,1),(5,1),(150,1)}
        14:{1,2,5,6}:{(5,1),(6,1),(20,1),(26,1),(59,1)}
        15:{1,4,5,6}:{(6,1),(21,1),(28,1),(107,1),(147,1)}
        16:{1,2,5,6,7}:{(7,1),(20,1),(29,1),(30,1),(32,1),(96,1),(120,1)}
        17:{1,4,6,7}:{(7,1),(21,1),(31,1),(147,1)}
        18:{3,5,6,7}:{(8,1),(31,1),(32,1),(189,1)}
        19:{2,3,6,7}:{(9,1),(13,1),(35,1),(48,1)}
        20:{1,2,5,7}:{(9,1),(10,1),(14,1),(35,1)}
        21:{1,4,5,7}:{(10,1),(15,1),(17,1),(37,1)}
        22:{1,2,4,7}:{(11,1),(12,1),(38,1),(40,1)}
        23:{1,2,3,6}:{(11,1),(13,1),(40,1),(79,1)}
        24:{2,3,4,5,7}:{(12,1),(39,1),(42,1),(43,1),(75,1),(85,1),(125,1),(134,1),(172,1),(179,1)}
        25:{2,3,4,6}:{(12,1),(13,1),(40,1),(43,1),(44,1),(84,1)}
        26:{2,3,5,6}:{(13,1),(14,1),(35,1),(43,1),(44,1),(45,1)}
        27:{1,2,4,5,6}:{(14,1),(15,1),(36,1),(44,1),(45,1),(46,1),(83,1),(88,1),(90,1),(91,1),(124,1),(145,1)}
        28:{3,4,5,6}:{(15,1),(37,1),(45,1),(46,1),(134,1),(171,1)}
        29:{2,3,5,6,7}:{(16,1),(35,1),(47,1),(48,1),(74,1),(92,1)}
        30:{1,2,4,6,7}:{(16,1),(17,1),(36,1),(47,1),(48,1),(49,1),(93,1),(94,1),(124,1)}
        31:{3,4,6,7}:{(17,1),(18,1),(37,1),(48,1),(49,1),(171,1)}
        32:{2,5,6,7}:{(18,1),(49,1),(202,1)}
        33:{1,2,3,6,7}:{(19,1),(23,1),(50,1),(51,1),(69,1),(105,1),(150,1),(193,1),(194,1)}
        34:{2,3,4,6,7}:{(19,1),(25,1),(50,1),(52,1),(53,1),(68,1),(98,1),(100,1),(150,1)}
        35:{2,3,5,7}:{(19,1),(20,1),(26,1),(53,1),(54,1)}
        36:{1,2,4,5,7}:{(20,1),(21,1),(27,1),(30,1),(53,1),(54,1),(55,1),(67,1),(102,1),(104,1),(120,1)}
        37:{3,4,5,7}:{(21,1),(28,1),(31,1),(54,1),(55,1)}
        38:{1,3,4,7}:{(22,1),(56,1),(57,1),(98,1),(157,1)}
        39:{1,2,4,5,7}:{(22,1),(24,1),(56,1),(58,1),(59,1),(107,1),(108,1),(157,1)}
        40:{1,2,4,6}:{(22,1),(23,1),(25,1),(57,1),(59,1)}
        41:{1,2,3,5,6}:{(23,1),(26,1),(51,1),(59,1),(60,1),(65,1),(96,1),(106,1),(110,1),(150,1),(163,1),(164,1),(165,1),(194,1)}
        42:{2,3,4,6}:{(24,1),(58,1),(62,1),(100,1),(150,1),(158,1),(191,1)}
        43:{2,3,5}:{(25,1),(59,1),(63,1),(110,1)}
        44:{2,4,6}:{(26,1),(53,1),(63,1),(64,1)}
        45:{3,5,6}:{(27,1),(54,1),(64,1),(110,1),(150,1)}
        46:{2,4,5,6}:{(28,1),(55,1),(66,1),(160,1),(191,1)}
        47:{2,4,6,7}:{(29,1),(53,1),(67,1),(68,1),(100,1)}
        48:{3,6,7}:{(30,1),(54,1),(150,1)}
        49:{2,4,6,7}:{(31,1),(32,1),(55,1),(70,1),(191,1)}
        50:{1,2,4,6,7}:{(33,1),(34,1),(40,1),(71,1),(72,1),(73,1),(93,1),(124,1),(203,1)}
        51:{1,2,3,5,7}:{(33,1),(35,1),(41,1),(72,1),(73,1),(77,1),(125,1),(132,1),(176,1),(177,1),(184,1)}
        52:{2,3,5,7}:{(34,1),(43,1),(72,1),(74,1),(75,1),(92,1),(125,1)}
        53:{2,4,7}:{(35,1),(44,1),(76,1)}
        54:{3,5,7}:{(36,1),(45,1),(48,1),(76,1)}
        55:{2,4,5,7}:{(37,1),(46,1),(49,1),(78,1)}
        56:{1,3,5,7}:{(38,1),(39,1),(79,1),(80,1),(125,1)}
        57:{1,3,4,6}:{(38,1),(40,1),(79,1),(80,1),(84,1),(133,1)}
        58:{1,2,4,6}:{(39,1),(42,1),(79,1),(82,1),(133,1)}
        59:{1,2,5}:{(40,1),(43,1),(80,1)}
        60:{1,2,4,6}:{(41,1),(44,1),(73,1),(83,1),(84,1),(88,1),(133,1),(181,1)}
        61:{2,3,4,6,7}:{(42,1),(81,1),(85,1),(128,1),(173,1),(179,1),(203,1)}
        62:{2,3,5,6}:{(42,1),(43,1),(82,1),(85,1),(86,1),(136,1),(202,1)}
        63:{2,4,5}:{(43,1),(44,1),(87,1)}
        64:{3,4,6}:{(44,1),(45,1),(76,1),(87,1),(88,1)}
        65:{1,3,5,6}:{(45,1),(77,1),(88,1),(90,1),(137,1),(143,1),(145,1),(174,1)}
        66:{2,3,5,6}:{(45,1),(46,1),(78,1),(89,1),(90,1),(138,1),(175,1)}
        67:{2,4,5,7}:{(47,1),(91,1),(92,1)}
        68:{3,4,6,7}:{(47,1),(48,1),(76,1),(92,1),(93,1),(129,1)}
        69:{1,3,6,7}:{(48,1),(77,1),(93,1),(94,1),(174,1)}
        70:{2,3,6,7}:{(48,1),(49,1),(78,1),(94,1),(175,1)}
        71:{1,3,4,6,7}:{(50,1),(57,1),(95,1),(98,1),(105,1),(147,1),(150,1),(157,1),(190,1)}
        72:{1,2,5,7}:{(50,1),(52,1),(59,1),(95,1),(96,1),(120,1),(208,1)}
        73:{1,2,4,7}:{(51,1),(53,1),(60,1),(98,1),(102,1),(157,1),(196,1)}
        74:{2,3,5,6}:{(52,1),(96,1),(100,1),(119,1),(150,1)}
        75:{2,4,5,7}:{(52,1),(53,1),(63,1),(100,1),(101,1)}
        76:{3,4,7}:{(53,1),(54,1),(64,1),(102,1)}
        77:{1,3,5,7}:{(54,1),(65,1),(69,1),(102,1),(104,1),(120,1),(156,1)}
        78:{2,3,5,7}:{(54,1),(55,1),(66,1),(70,1),(103,1),(104,1)}
        79:{1,3,6}:{(56,1),(58,1),(150,1)}
        80:{1,3,5}:{(57,1),(59,1),(107,1),(110,1)}
        81:{1,2,4,6,7}:{(58,1),(61,1),(105,1),(108,1),(157,1)}
        82:{1,2,5,6}:{(58,1),(59,1),(62,1),(106,1),(108,1)}
        83:{1,2,4,5}:{(59,1),(60,1),(63,1),(107,1),(110,1),(115,1),(160,1),(164,1)}
        84:{3,4,6}:{(60,1),(98,1),(110,1),(150,1)}
        85:{2,3,5,7}:{(61,1),(62,1),(108,1),(113,1),(161,1),(208,1)}
        86:{2,4,5,6}:{(62,1),(63,1),(100,1),(113,1),(114,1)}
        87:{3,4,5}:{(63,1),(64,1),(110,1),(115,1)}
        88:{1,4,6}:{(64,1),(65,1),(102,1),(115,1)}
        89:{2,3,4,6}:{(64,1),(66,1),(103,1),(116,1),(117,1)}
        90:{1,2,5,6}:{(65,1),(66,1),(104,1),(117,1),(164,1),(194,1)}
        91:{2,4,5,6}:{(67,1),(100,1),(119,1)}
        92:{3,5,7}:{(67,1),(68,1),(119,1),(120,1)}
        93:{1,4,6,7}:{(68,1),(69,1),(102,1),(120,1),(155,1)}
        94:{1,2,6,7}:{(69,1),(70,1),(104,1),(194,1)}
        95:{1,3,5,7}:{(71,1),(72,1),(80,1),(121,1),(122,1),(125,1),(201,1)}
        96:{1,2,5,6}:{(72,1),(74,1),(121,1),(124,1),(145,1),(202,1)}
        97:{1,2,4,5,7}:{(72,1),(73,1),(75,1),(83,1),(122,1),(124,1),(125,1),(130,1),(172,1),(176,1)}
        98:{3,4,7}:{(73,1),(84,1),(125,1)}
        99:{2,3,5,6,7}:{(74,1),(85,1),(123,1),(128,1),(144,1),(173,1)}
       100:{2,4,6}:{(74,1),(75,1),(129,1)}
       101:{3,4,5,7}:{(75,1),(76,1),(87,1),(92,1),(125,1),(129,1),(130,1)}
       102:{1,4,7}:{(76,1),(77,1),(88,1)}
       103:{2,3,4,7}:{(76,1),(78,1),(89,1),(131,1)}
       104:{1,2,5,7}:{(77,1),(78,1),(90,1),(94,1),(131,1)}
       105:{1,3,6,7}:{(79,1),(81,1),(132,1),(173,1)}
       106:{1,3,5,6}:{(79,1),(80,1),(82,1),(132,1),(133,1),(136,1)}
       107:{1,4,5}:{(80,1),(133,1),(134,1)}
       108:{1,2,5,7}:{(81,1),(82,1),(85,1),(132,1)}
       109:{1,2,4,5,6}:{(82,1),(83,1),(86,1),(124,1),(133,1),(135,1),(136,1),(141,1),(169,1),(181,1),(185,1),(202,1)}
       110:{3,5}:{(83,1),(84,1)}
       111:{1,3,4,6}:{(84,1),(88,1),(126,1),(137,1),(139,1),(143,1),(174,1),(187,1)}
       112:{2,3,4,6}:{(84,1),(127,1),(138,1),(139,1),(175,1),(181,1),(206,1),(207,1)}
       113:{2,4,5,7}:{(85,1),(86,1),(128,1),(140,1)}
       114:{3,4,5,6}:{(86,1),(87,1),(129,1),(136,1),(140,1),(141,1)}
       115:{1,4,5}:{(87,1),(88,1),(137,1)}
       116:{2,3,4,5}:{(87,1),(89,1),(138,1),(142,1),(207,1)}
       117:{1,2,4,6}:{(88,1),(89,1),(90,1),(131,1),(142,1),(143,1)}
       118:{2,4,5,6,7}:{(91,1),(128,1),(144,1)}
       119:{3,5,6}:{(91,1),(92,1),(129,1),(145,1)}
       120:{1,5,7}:{(92,1),(93,1),(145,1)}
       121:{1,3,5,6}:{(95,1),(96,1),(147,1),(150,1),(189,1)}
       122:{1,4,5,7}:{(95,1),(107,1),(147,1),(148,1),(157,1)}
       123:{1,2,5,6,7}:{(96,1),(99,1),(108,1),(146,1),(149,1),(168,1),(208,1)}
       124:{1,2,4,6}:{(96,1),(97,1),(100,1),(147,1),(150,1),(155,1),(191,1),(194,1)}
       125:{3,5,7}:{(97,1),(98,1),(110,1),(150,1)}
       126:{1,3,4,7}:{(98,1),(102,1),(111,1),(151,1),(153,1),(156,1)}
       127:{2,3,4,7}:{(98,1),(112,1),(152,1),(153,1),(196,1),(209,1)}
       128:{2,4,6,7}:{(99,1),(100,1),(113,1),(154,1)}
       129:{3,4,6}:{(100,1),(101,1),(119,1),(150,1),(155,1)}
       130:{1,4,5,7}:{(101,1),(102,1),(115,1),(120,1),(151,1),(155,1)}
       131:{1,2,4,7}:{(102,1),(103,1),(104,1),(117,1),(156,1)}
       132:{1,3,5,7}:{(105,1),(106,1),(108,1),(157,1),(161,1)}
       133:{1,4,6}:{(106,1),(107,1),(157,1),(158,1)}
       134:{3,4,5}:{(107,1),(110,1),(158,1),(160,1)}
       135:{1,2,4,5,7}:{(108,1),(109,1),(113,1),(149,1),(157,1),(161,1),(166,1),(188,1),(196,1),(199,1),(208,1)}
       136:{3,5,6}:{(109,1),(110,1),(150,1),(158,1),(161,1)}
       137:{1,3,5}:{(110,1),(111,1),(115,1),(164,1)}
       138:{2,3,5}:{(110,1),(112,1),(160,1),(164,1)}
       139:{1,2,4,6}:{(111,1),(112,1),(153,1),(164,1),(165,1),(194,1),(200,1)}
       140:{3,4,5,7}:{(113,1),(114,1),(154,1),(161,1),(166,1)}
       141:{1,4,5,6}:{(114,1),(115,1),(155,1),(162,1),(166,1)}
       142:{1,2,4,5}:{(115,1),(116,1),(117,1),(164,1),(167,1),(200,1)}
       143:{1,3,6}:{(117,1),(156,1),(167,1)}
       144:{3,5,6,7}:{(118,1),(119,1),(154,1),(168,1)}
       145:{1,5,6}:{(119,1),(120,1),(155,1)}
       146:{1,3,5,6,7}:{(121,1),(123,1),(132,1),(170,1),(173,1),(201,1)}
       147:{1,4,6}:{(121,1),(122,1),(171,1)}
       148:{3,4,5,7}:{(122,1),(125,1),(134,1),(171,1),(172,1),(179,1),(201,1)}
       149:{1,2,4,6,7}:{(123,1),(124,1),(128,1),(135,1),(170,1),(173,1),(178,1),(203,1),(204,1)}
       150:{3,6}:{(124,1),(125,1)}
       151:{1,3,5,7}:{(125,1),(126,1),(130,1),(137,1),(174,1),(176,1)}
       152:{2,3,5,7}:{(125,1),(127,1),(138,1),(172,1),(175,1),(176,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(139,1),(176,1),(177,1)}
       154:{3,4,6,7}:{(128,1),(129,1),(140,1),(144,1),(173,1),(178,1)}
       155:{1,4,6}:{(129,1),(130,1),(145,1),(174,1)}
       156:{1,3,7}:{(131,1),(143,1)}
       157:{1,4,7}:{(132,1),(133,1),(179,1)}
       158:{3,4,6}:{(133,1),(134,1),(136,1),(179,1),(181,1)}
       159:{1,3,4,5}:{(134,1),(137,1),(180,1),(182,1),(187,1)}
       160:{2,4,5}:{(134,1),(138,1),(181,1)}
       161:{3,5,7}:{(135,1),(136,1),(173,1),(179,1)}
       162:{1,3,5,6}:{(136,1),(137,1),(141,1),(174,1),(180,1),(183,1),(185,1)}
       163:{2,3,5,6}:{(136,1),(138,1),(175,1),(181,1),(184,1),(185,1),(202,1),(206,1)}
       164:{1,2,5}:{(137,1),(138,1),(139,1)}
       165:{1,2,3,6}:{(139,1),(143,1),(177,1),(186,1),(206,1)}
       166:{1,4,5,7}:{(140,1),(141,1),(178,1),(183,1)}
       167:{1,3,5}:{(142,1),(143,1),(187,1)}
       168:{1,5,6,7}:{(144,1),(145,1),(178,1)}
       169:{1,4,5,6}:{(147,1),(188,1),(189,1)}
       170:{1,4,6,7}:{(146,1),(147,1),(157,1),(188,1),(190,1)}
       171:{3,4,6}:{(147,1),(148,1),(150,1),(189,1),(191,1)}
       172:{2,4,5,7}:{(148,1),(152,1),(160,1),(191,1),(196,1),(208,1)}
       173:{3,6,7}:{(149,1),(150,1),(161,1)}
       174:{1,3,6}:{(150,1),(151,1),(155,1),(194,1)}
       175:{2,3,6}:{(150,1),(152,1),(191,1),(194,1)}
       176:{1,2,5,7}:{(151,1),(152,1),(153,1),(164,1),(194,1)}
       177:{1,2,3,7}:{(153,1),(156,1),(165,1),(209,1)}
       178:{1,4,6,7}:{(154,1),(155,1),(166,1),(168,1),(192,1)}
       179:{3,4,7}:{(157,1),(158,1),(161,1),(196,1)}
       180:{1,3,4,6}:{(158,1),(159,1),(162,1),(195,1),(197,1)}
       181:{2,4,6}:{(158,1),(160,1),(163,1),(196,1)}
       182:{1,2,4,5}:{(159,1),(160,1),(164,1),(197,1),(198,1),(200,1)}
       183:{1,3,5,7}:{(161,1),(162,1),(166,1),(192,1),(195,1),(199,1)}
       184:{2,3,5,7}:{(161,1),(163,1),(193,1),(196,1),(199,1),(208,1),(209,1)}
       185:{1,2,5,6}:{(162,1),(163,1),(164,1),(194,1),(197,1),(199,1)}
       186:{1,2,3,5}:{(164,1),(165,1),(167,1),(198,1),(200,1)}
       187:{1,3,4}:{(167,1),(200,1)}
       188:{1,4,5,7}:{(169,1),(170,1),(201,1)}
       189:{3,5,6}:{(169,1),(171,1),(201,1),(202,1)}
       190:{3,4,6,7}:{(170,1),(171,1),(173,1),(179,1),(201,1),(203,1)}
       191:{2,4,6}:{(171,1),(172,1),(175,1),(202,1)}
       192:{1,3,6,7}:{(173,1),(174,1),(178,1),(183,1),(204,1)}
       193:{2,3,6,7}:{(173,1),(175,1),(184,1),(203,1),(204,1)}
       194:{1,2,6}:{(174,1),(175,1),(176,1)}
       195:{1,3,4,7}:{(179,1),(180,1),(183,1),(205,1)}
       196:{2,4,7}:{(179,1),(181,1),(184,1)}
       197:{1,2,4,6}:{(180,1),(181,1),(182,1),(185,1),(205,1),(206,1)}
       198:{2,3,5}:{(182,1),(206,1),(207,1)}
       199:{1,2,5,7}:{(183,1),(184,1),(185,1),(204,1),(205,1)}
       200:{1,2,4}:{(186,1),(187,1),(207,1)}
       201:{3,5,7}:{(188,1),(189,1),(190,1),(208,1)}
       202:{2,5,6}:{(189,1),(191,1),(208,1)}
       203:{2,4,6,7}:{(190,1),(191,1),(193,1),(196,1),(208,1)}
       204:{1,2,6,7}:{(192,1),(193,1),(194,1),(199,1)}
       205:{1,2,4,7}:{(195,1),(196,1),(197,1),(199,1),(209,1)}
       206:{2,3,6}:{(197,1),(198,1),(209,1)}
       207:{2,3,4}:{(198,1),(200,1)}
       208:{2,5,7}:{(201,1),(202,1),(203,1)}
       209:{2,3,7}:{(205,1),(206,1)}

1734 :   0:{1,2,3,6,7}:{(2,1),(3,1),(36,1),(44,1),(80,1),(81,1),(82,1),(104,1)}
         1:{1,3,4,6,7}:{(3,1),(4,1),(13,1),(17,1),(38,1),(44,1),(49,1),(82,1),(100,1),(104,1)}
         2:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(23,1),(26,1),(54,1),(61,1),(93,1),(94,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(7,1),(8,1),(27,1),(56,1),(67,1),(86,1),(95,1),(103,1)}
         4:{1,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(26,1),(58,1),(66,1)}
         5:{2,3,4,6,7}:{(3,1),(11,1),(13,1),(34,1),(37,1),(44,1),(71,1),(81,1),(99,1),(104,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(15,1),(36,1),(39,1),(44,1),(76,1),(77,1),(78,1),(80,1)}
         7:{1,2,4,7}:{(2,1),(12,1),(13,1),(72,1),(99,1),(100,1)}
         8:{1,2,5,7}:{(3,1),(4,1),(11,1),(15,1),(76,1),(83,1),(96,1)}
         9:{1,4,5,7}:{(4,1),(16,1),(17,1),(74,1),(100,1)}
        10:{1,3,5,6}:{(4,1),(15,1),(17,1),(44,1),(46,1)}
        11:{2,3,5,7}:{(5,1),(8,1),(19,1),(20,1),(26,1),(57,1),(85,1)}
        12:{1,2,4,6}:{(6,1),(7,1),(21,1),(22,1),(89,1),(90,1)}
        13:{3,4,7}:{(7,1),(21,1),(26,1),(87,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(19,1),(22,1),(26,1),(27,1),(30,1),(51,1),(61,1),(88,1),(103,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(20,1),(27,1),(65,1),(84,1)}
        16:{3,4,5,7}:{(9,1),(26,1),(30,1),(31,1),(55,1),(66,1),(91,1)}
        17:{1,4,6}:{(9,1),(10,1),(31,1)}
        18:{1,3,5,6,7}:{(10,1),(28,1),(32,1),(64,1),(66,1),(94,1)}
        19:{2,4,5,7}:{(11,1),(33,1),(34,1),(73,1),(99,1)}
        20:{2,3,5,6}:{(11,1),(15,1),(34,1),(44,1),(68,1)}
        21:{3,4,6}:{(12,1),(13,1),(39,1),(44,1)}
        22:{1,2,4,5}:{(12,1),(39,1),(73,1),(74,1),(76,1)}
        23:{1,2,3,7}:{(36,1),(41,1),(104,1)}
        24:{2,3,4,7}:{(13,1),(37,1),(41,1),(42,1),(99,1),(104,1)}
        25:{1,3,4,7}:{(13,1),(38,1),(41,1),(43,1),(100,1),(104,1)}
        26:{3,5,7}:{(13,1),(14,1),(39,1),(44,1),(97,1),(104,1)}
        27:{1,2,4,6}:{(14,1),(15,1),(17,1),(34,1),(44,1),(48,1),(70,1),(80,1)}
        28:{1,2,5,6,7}:{(15,1),(18,1),(35,1),(45,1),(83,1),(96,1),(101,1)}
        29:{1,4,5,6}:{(17,1),(46,1),(47,1)}
        30:{2,4,5,7}:{(16,1),(42,1),(48,1),(73,1),(83,1),(99,1)}
        31:{3,4,6}:{(16,1),(17,1),(44,1),(46,1),(48,1)}
        32:{1,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(100,1)}
        33:{3,4,5,7}:{(19,1),(26,1),(51,1),(52,1),(55,1),(85,1),(91,1)}
        34:{2,4,6}:{(19,1),(20,1),(52,1)}
        35:{2,3,5,6,7}:{(20,1),(28,1),(53,1),(64,1),(85,1),(93,1)}
        36:{1,2,3,6}:{(23,1),(54,1),(56,1),(102,1)}
        37:{2,3,4,6}:{(21,1),(24,1),(56,1),(57,1),(62,1),(87,1),(89,1),(102,1)}
        38:{1,3,4,6}:{(21,1),(25,1),(56,1),(58,1),(63,1),(87,1),(90,1),(102,1)}
        39:{3,5}:{(21,1),(22,1)}
        40:{1,2,4,5,6}:{(22,1),(27,1),(29,1),(50,1),(59,1),(60,1),(65,1),(84,1),(89,1),(90,1),(92,1)}
        41:{1,2,4,7}:{(23,1),(24,1),(25,1),(56,1),(61,1)}
        42:{2,3,5,7}:{(24,1),(26,1),(30,1),(57,1),(61,1),(62,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(51,1),(58,1),(61,1),(63,1)}
        44:{3,6}:{(26,1),(27,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(32,1),(53,1),(60,1),(64,1),(67,1),(86,1),(95,1),(103,1)}
        46:{3,5,6}:{(29,1),(31,1),(65,1),(66,1)}
        47:{1,4,5,7}:{(29,1),(32,1),(66,1)}
        48:{2,4,6}:{(30,1),(31,1),(62,1),(65,1)}
        49:{3,4,6,7}:{(31,1),(32,1),(64,1),(66,1),(67,1),(91,1)}
        50:{2,4,5,6}:{(34,1),(68,1),(69,1)}
        51:{1,4,5,7}:{(33,1),(43,1),(70,1),(74,1),(96,1),(100,1)}
        52:{3,4,6}:{(33,1),(34,1),(44,1),(68,1),(70,1)}
        53:{2,4,6,7}:{(34,1),(35,1),(69,1),(71,1),(99,1)}
        54:{1,2,3,5}:{(36,1),(72,1),(76,1),(97,1)}
        55:{3,4,5}:{(39,1),(73,1),(74,1),(75,1),(97,1)}
        56:{1,2,4,6}:{(36,1),(37,1),(38,1),(41,1),(72,1),(76,1),(80,1)}
        57:{2,3,5}:{(37,1),(39,1),(73,1),(76,1),(97,1)}
        58:{1,3,5}:{(38,1),(39,1),(74,1),(76,1),(97,1)}
        59:{3,5,6}:{(39,1),(40,1),(44,1),(75,1),(79,1)}
        60:{1,2,4,5,7}:{(40,1),(45,1),(47,1),(69,1),(79,1),(83,1),(96,1),(99,1),(100,1),(101,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(43,1),(76,1),(80,1)}
        62:{2,3,6}:{(42,1),(44,1),(48,1),(80,1)}
        63:{1,3,6}:{(43,1),(44,1),(70,1),(80,1)}
        64:{3,6,7}:{(44,1),(45,1),(79,1),(104,1)}
        65:{2,5,6}:{(46,1),(48,1),(83,1)}
        66:{3,5,7}:{(46,1),(47,1),(49,1),(83,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(81,1),(83,1),(99,1)}
        68:{3,5,6}:{(50,1),(52,1),(84,1),(85,1)}
        69:{2,4,5,7}:{(50,1),(53,1),(85,1)}
        70:{1,4,6}:{(51,1),(52,1),(63,1),(84,1)}
        71:{3,4,6,7}:{(52,1),(53,1),(64,1),(85,1),(86,1),(91,1)}
        72:{1,2,4}:{(54,1),(87,1)}
        73:{2,4,5}:{(55,1),(57,1),(89,1)}
        74:{1,4,5}:{(55,1),(58,1),(90,1)}
        75:{3,4,6}:{(55,1),(59,1),(89,1),(90,1),(91,1),(102,1)}
        76:{1,2,5}:{(56,1),(57,1),(58,1)}
        77:{2,3,5,6}:{(57,1),(59,1),(62,1),(65,1),(89,1),(92,1),(93,1),(102,1)}
        78:{1,3,5,6}:{(58,1),(59,1),(63,1),(84,1),(90,1),(92,1),(94,1),(102,1)}
        79:{3,5,7}:{(59,1),(60,1),(64,1),(91,1)}
        80:{1,2,6}:{(61,1),(62,1),(63,1)}
        81:{2,3,6,7}:{(62,1),(64,1),(67,1),(93,1),(95,1)}
        82:{1,3,6,7}:{(63,1),(64,1),(86,1),(94,1),(95,1)}
        83:{2,5,7}:{(65,1),(66,1),(67,1)}
        84:{1,5,6}:{(68,1),(70,1),(96,1)}
        85:{3,5,7}:{(68,1),(69,1),(71,1),(96,1)}
        86:{1,4,6,7}:{(70,1),(71,1),(82,1),(96,1),(100,1)}
        87:{3,4}:{(72,1),(97,1)}
        88:{1,2,4,5}:{(72,1),(73,1),(74,1),(76,1),(97,1),(98,1)}
        89:{2,4,6}:{(73,1),(75,1),(77,1),(99,1)}
        90:{1,4,6}:{(74,1),(75,1),(78,1),(100,1)}
        91:{3,4,7}:{(75,1),(79,1),(99,1),(100,1),(104,1)}
        92:{1,2,5,6}:{(76,1),(77,1),(78,1),(80,1),(98,1),(101,1)}
        93:{2,3,5,7}:{(77,1),(79,1),(81,1),(83,1),(99,1),(101,1),(104,1)}
        94:{1,3,5,7}:{(78,1),(79,1),(82,1),(96,1),(100,1),(101,1),(104,1)}
        95:{1,2,6,7}:{(80,1),(81,1),(82,1),(101,1)}
        96:{1,5,7}:{(84,1),(85,1),(86,1)}
        97:{3,5}:{(87,1),(88,1),(102,1)}
        98:{1,2,4,6}:{(88,1),(89,1),(90,1),(92,1),(102,1),(103,1)}
        99:{2,4,7}:{(89,1),(91,1),(93,1)}
       100:{1,4,7}:{(90,1),(91,1),(94,1)}
       101:{1,2,5,7}:{(92,1),(93,1),(94,1),(95,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1735 :   0:{1,2,3,6,7}:{(2,1),(3,1),(42,1),(73,1),(79,1),(80,1),(81,1),(104,1)}
         1:{1,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(34,1),(42,1),(46,1),(79,1),(94,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(8,1),(25,1),(53,1),(65,1),(92,1),(93,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(26,1),(63,1),(64,1),(86,1),(87,1),(89,1)}
         4:{1,3,5,7}:{(1,1),(7,1),(9,1),(10,1),(26,1),(51,1),(54,1)}
         5:{1,2,3,5,6}:{(3,1),(11,1),(13,1),(33,1),(42,1),(70,1),(71,1),(72,1),(73,1),(81,1)}
         6:{2,3,4,6,7}:{(2,1),(12,1),(15,1),(35,1),(39,1),(42,1),(77,1),(80,1),(95,1),(104,1)}
         7:{1,2,5,7}:{(2,1),(4,1),(12,1),(13,1),(72,1),(74,1),(100,1)}
         8:{1,2,4,7}:{(3,1),(11,1),(15,1),(94,1),(95,1),(99,1)}
         9:{1,3,5,6}:{(4,1),(13,1),(17,1),(37,1),(42,1)}
        10:{1,4,5,7}:{(4,1),(17,1),(18,1),(67,1),(94,1)}
        11:{1,2,4,6}:{(5,1),(8,1),(19,1),(20,1),(83,1),(84,1)}
        12:{2,3,5,7}:{(6,1),(7,1),(22,1),(23,1),(26,1),(52,1),(90,1)}
        13:{1,2,5,6}:{(7,1),(9,1),(22,1),(25,1),(55,1),(91,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(10,1),(19,1),(23,1),(25,1),(26,1),(31,1),(59,1),(63,1),(85,1),(101,1)}
        15:{3,4,7}:{(8,1),(20,1),(26,1),(103,1)}
        16:{1,3,5,6,7}:{(9,1),(24,1),(29,1),(54,1),(60,1),(86,1)}
        17:{1,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(26,1),(30,1),(31,1),(48,1),(54,1),(82,1)}
        19:{1,2,4,5}:{(11,1),(33,1),(67,1),(68,1),(72,1)}
        20:{3,4,6}:{(11,1),(15,1),(33,1),(42,1)}
        21:{1,4,5,6}:{(17,1),(36,1),(37,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(39,1),(42,1),(76,1)}
        23:{2,4,5,7}:{(12,1),(39,1),(40,1),(68,1),(95,1)}
        24:{1,2,5,6,7}:{(13,1),(16,1),(38,1),(41,1),(74,1),(98,1),(100,1)}
        25:{1,2,4,6}:{(13,1),(14,1),(17,1),(39,1),(42,1),(47,1),(78,1),(81,1)}
        26:{3,5,7}:{(14,1),(15,1),(33,1),(42,1),(97,1),(104,1)}
        27:{1,3,4,7}:{(15,1),(34,1),(43,1),(45,1),(94,1),(104,1)}
        28:{2,3,4,7}:{(15,1),(35,1),(44,1),(45,1),(95,1),(104,1)}
        29:{1,4,6,7}:{(16,1),(17,1),(36,1),(46,1),(94,1)}
        30:{3,4,6}:{(17,1),(18,1),(37,1),(42,1),(47,1)}
        31:{2,4,5,7}:{(18,1),(44,1),(47,1),(68,1),(74,1),(95,1)}
        32:{1,2,4,5,6}:{(19,1),(21,1),(25,1),(49,1),(50,1),(55,1),(56,1),(83,1),(84,1),(88,1),(91,1)}
        33:{3,5}:{(19,1),(20,1)}
        34:{1,3,4,6}:{(20,1),(27,1),(51,1),(53,1),(61,1),(83,1),(102,1),(103,1)}
        35:{2,3,4,6}:{(20,1),(28,1),(52,1),(53,1),(62,1),(84,1),(102,1),(103,1)}
        36:{1,4,5,7}:{(21,1),(29,1),(54,1)}
        37:{3,5,6}:{(21,1),(30,1),(54,1),(55,1)}
        38:{2,3,5,6,7}:{(22,1),(24,1),(57,1),(60,1),(87,1),(90,1)}
        39:{2,4,6}:{(22,1),(23,1),(58,1)}
        40:{3,4,5,7}:{(23,1),(26,1),(48,1),(58,1),(59,1),(82,1),(90,1)}
        41:{1,2,4,6,7}:{(24,1),(25,1),(29,1),(49,1),(57,1),(60,1),(65,1),(92,1),(93,1),(101,1)}
        42:{3,6}:{(25,1),(26,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(51,1),(59,1),(61,1),(63,1)}
        44:{2,3,5,7}:{(26,1),(28,1),(31,1),(52,1),(62,1),(63,1)}
        45:{1,2,4,7}:{(27,1),(28,1),(53,1),(63,1),(64,1)}
        46:{3,4,6,7}:{(29,1),(30,1),(54,1),(60,1),(65,1),(82,1)}
        47:{2,4,6}:{(30,1),(31,1),(55,1),(62,1)}
        48:{3,4,5}:{(33,1),(66,1),(67,1),(68,1),(97,1)}
        49:{1,2,4,5,7}:{(32,1),(36,1),(41,1),(69,1),(74,1),(75,1),(94,1),(95,1),(98,1),(100,1)}
        50:{3,5,6}:{(32,1),(33,1),(42,1),(66,1),(69,1)}
        51:{1,3,5}:{(33,1),(34,1),(67,1),(72,1),(97,1)}
        52:{2,3,5}:{(33,1),(35,1),(68,1),(72,1),(97,1)}
        53:{1,2,4,6}:{(34,1),(35,1),(45,1),(72,1),(73,1),(81,1),(99,1)}
        54:{3,5,7}:{(36,1),(37,1),(46,1),(74,1)}
        55:{2,5,6}:{(37,1),(47,1),(74,1)}
        56:{2,4,5,6}:{(39,1),(75,1),(76,1)}
        57:{2,4,6,7}:{(38,1),(39,1),(75,1),(77,1),(95,1)}
        58:{3,4,6}:{(39,1),(40,1),(42,1),(76,1),(78,1)}
        59:{1,4,5,7}:{(40,1),(43,1),(67,1),(78,1),(94,1),(100,1)}
        60:{3,6,7}:{(41,1),(42,1),(69,1),(104,1)}
        61:{1,3,6}:{(42,1),(43,1),(78,1),(81,1)}
        62:{2,3,6}:{(42,1),(44,1),(47,1),(81,1)}
        63:{1,2,5,7}:{(43,1),(44,1),(45,1),(72,1),(81,1)}
        64:{1,2,3,7}:{(45,1),(73,1),(104,1)}
        65:{2,4,6,7}:{(46,1),(47,1),(74,1),(80,1),(95,1)}
        66:{3,4,6}:{(48,1),(50,1),(82,1),(83,1),(84,1),(102,1)}
        67:{1,4,5}:{(48,1),(51,1),(83,1)}
        68:{2,4,5}:{(48,1),(52,1),(84,1)}
        69:{3,5,7}:{(49,1),(50,1),(60,1),(82,1)}
        70:{1,3,5,6}:{(50,1),(51,1),(61,1),(83,1),(86,1),(88,1),(91,1),(102,1)}
        71:{2,3,5,6}:{(50,1),(52,1),(55,1),(62,1),(84,1),(87,1),(88,1),(102,1)}
        72:{1,2,5}:{(51,1),(52,1),(53,1)}
        73:{1,2,3,6}:{(53,1),(64,1),(89,1),(102,1)}
        74:{2,5,7}:{(54,1),(55,1),(65,1)}
        75:{2,4,5,7}:{(56,1),(57,1),(90,1)}
        76:{3,5,6}:{(56,1),(58,1),(90,1),(91,1)}
        77:{3,4,6,7}:{(57,1),(58,1),(60,1),(82,1),(90,1),(92,1)}
        78:{1,4,6}:{(58,1),(59,1),(61,1),(91,1)}
        79:{1,3,6,7}:{(60,1),(61,1),(86,1),(92,1),(93,1)}
        80:{2,3,6,7}:{(60,1),(62,1),(65,1),(87,1),(93,1)}
        81:{1,2,6}:{(61,1),(62,1),(63,1)}
        82:{3,4,7}:{(66,1),(69,1),(94,1),(95,1),(104,1)}
        83:{1,4,6}:{(66,1),(67,1),(70,1),(94,1)}
        84:{2,4,6}:{(66,1),(68,1),(71,1),(95,1)}
        85:{1,2,4,5}:{(67,1),(68,1),(72,1),(96,1),(97,1),(99,1)}
        86:{1,3,5,7}:{(69,1),(70,1),(79,1),(94,1),(98,1),(100,1),(104,1)}
        87:{2,3,5,7}:{(69,1),(71,1),(74,1),(80,1),(95,1),(98,1),(104,1)}
        88:{1,2,5,6}:{(70,1),(71,1),(72,1),(81,1),(96,1),(98,1)}
        89:{1,2,3,5}:{(72,1),(73,1),(97,1),(99,1)}
        90:{3,5,7}:{(75,1),(76,1),(77,1),(100,1)}
        91:{1,5,6}:{(76,1),(78,1),(100,1)}
        92:{1,4,6,7}:{(77,1),(78,1),(79,1),(94,1),(100,1)}
        93:{1,2,6,7}:{(79,1),(80,1),(81,1),(98,1)}
        94:{1,4,7}:{(82,1),(83,1),(86,1)}
        95:{2,4,7}:{(82,1),(84,1),(87,1)}
        96:{1,2,4,6}:{(83,1),(84,1),(85,1),(88,1),(101,1),(102,1)}
        97:{3,5}:{(85,1),(102,1),(103,1)}
        98:{1,2,5,7}:{(86,1),(87,1),(88,1),(93,1),(101,1)}
        99:{1,2,4}:{(89,1),(103,1)}
       100:{1,5,7}:{(90,1),(91,1),(92,1)}
       101:{1,2,4,7}:{(94,1),(95,1),(96,1),(98,1),(104,1)}
       102:{3,6}:{(96,1),(97,1),(104,1)}
       103:{3,4}:{(97,1),(99,1)}
       104:{3,7}:{(101,1),(102,1)}

1736 :   0:{1,2,3,6}:{(3,1),(5,1),(8,1),(93,1),(105,1)}
         1:{1,3,4,6}:{(6,1),(8,1),(9,1),(41,1),(44,1),(48,1),(95,1),(105,1)}
         2:{1,4,5,6}:{(10,1),(11,1),(35,1),(44,1),(98,1)}
         3:{1,2,3,5}:{(0,1),(12,1),(17,1),(25,1),(61,1),(71,1)}
         4:{3,4,5}:{(18,1),(19,1),(20,1),(71,1)}
         5:{1,2,3,7}:{(0,1),(21,1),(112,1),(129,1),(138,1)}
         6:{1,3,4,7}:{(1,1),(21,1),(22,1),(66,1),(74,1),(113,1),(138,1)}
         7:{1,5,6,7}:{(16,1),(23,1),(126,1),(133,1)}
         8:{1,2,4,6}:{(0,1),(1,1),(17,1),(21,1),(24,1),(25,1),(76,1)}
         9:{1,3,5}:{(1,1),(19,1),(25,1),(71,1),(130,1)}
        10:{3,5,6}:{(2,1),(20,1),(26,1),(28,1)}
        11:{1,4,5,7}:{(2,1),(23,1),(28,1),(65,1),(74,1),(133,1)}
        12:{1,2,3}:{(32,1)}
        13:{2,3,4}:{(32,1),(33,1),(41,1)}
        14:{1,2,3,5,7}:{(3,1),(5,1),(29,1),(34,1),(36,1),(47,1),(82,1),(89,1),(96,1),(100,1)}
        15:{3,4,5,7}:{(4,1),(37,1),(38,1),(39,1),(45,1),(83,1),(99,1),(100,1),(149,1),(159,1),(202,1)}
        16:{3,5,6,7}:{(7,1),(31,1),(40,1),(49,1),(91,1),(99,1)}
        17:{1,2,4}:{(3,1),(41,1)}
        18:{2,4,5}:{(4,1),(33,1),(43,1)}
        19:{1,4,5}:{(4,1),(9,1),(44,1),(159,1)}
        20:{3,4,6}:{(4,1),(10,1),(43,1),(44,1),(45,1),(105,1)}
        21:{1,2,4,7}:{(5,1),(6,1),(8,1),(46,1),(47,1),(143,1)}
        22:{1,3,5,7}:{(6,1),(9,1),(38,1),(47,1),(48,1),(100,1),(144,1),(192,1)}
        23:{1,4,6,7}:{(7,1),(11,1),(40,1),(49,1)}
        24:{2,3,4,6}:{(8,1),(41,1),(46,1),(50,1),(95,1),(105,1),(108,1),(110,1)}
        25:{1,2,5}:{(8,1),(9,1),(50,1)}
        26:{2,5,6}:{(10,1),(43,1),(52,1)}
        27:{1,3,5,6}:{(9,1),(10,1),(44,1),(48,1),(51,1),(53,1),(98,1),(105,1),(160,1)}
        28:{3,5,7}:{(10,1),(11,1),(45,1),(49,1),(52,1)}
        29:{1,2,3,7}:{(12,1),(54,1),(57,1),(208,1),(210,1)}
        30:{2,3,4,7}:{(13,1),(55,1),(57,1),(58,1),(66,1),(174,1),(210,1)}
        31:{2,5,6,7}:{(16,1),(59,1),(77,1),(132,1)}
        32:{1,2,4}:{(12,1),(13,1),(60,1),(61,1)}
        33:{2,3,5}:{(13,1),(18,1),(61,1),(62,1),(71,1)}
        34:{1,2,3,6}:{(14,1),(63,1),(76,1),(124,1),(135,1)}
        35:{4,5,6}:{(64,1),(65,1),(183,1)}
        36:{1,2,4,7}:{(14,1),(17,1),(63,1),(66,1),(114,1)}
        37:{2,4,5,7}:{(15,1),(18,1),(58,1),(68,1),(73,1),(115,1),(132,1),(174,1)}
        38:{1,4,5,7}:{(15,1),(19,1),(22,1),(69,1),(74,1),(116,1),(133,1),(175,1)}
        39:{3,4,6}:{(15,1),(64,1),(68,1),(69,1),(135,1),(183,1)}
        40:{4,6,7}:{(16,1),(65,1)}
        41:{3,4}:{(17,1),(71,1)}
        42:{1,2,4,5}:{(17,1),(18,1),(19,1),(25,1),(61,1),(71,1),(72,1),(79,1),(127,1)}
        43:{2,4,6}:{(18,1),(20,1),(26,1),(62,1),(73,1)}
        44:{1,4,6}:{(19,1),(20,1),(27,1),(74,1),(183,1)}
        45:{3,4,7}:{(20,1),(28,1),(73,1),(74,1),(138,1)}
        46:{2,3,4,7}:{(21,1),(24,1),(66,1),(75,1),(138,1),(142,1),(169,1)}
        47:{1,2,5,7}:{(21,1),(22,1),(25,1),(75,1),(76,1),(170,1),(208,1)}
        48:{1,3,6}:{(22,1),(69,1),(76,1),(135,1)}
        49:{3,6,7}:{(23,1),(28,1),(77,1)}
        50:{2,3,5}:{(24,1),(25,1),(71,1),(79,1),(130,1)}
        51:{1,2,5,6}:{(25,1),(26,1),(27,1),(72,1),(76,1),(80,1),(81,1),(181,1)}
        52:{2,5,7}:{(26,1),(28,1),(73,1),(77,1)}
        53:{1,3,5,7}:{(27,1),(28,1),(74,1),(78,1),(81,1),(133,1),(138,1),(184,1)}
        54:{1,2,3,6}:{(29,1),(82,1),(84,1),(191,1),(194,1)}
        55:{2,3,4,6}:{(30,1),(84,1),(85,1),(90,1),(95,1),(145,1),(147,1),(194,1)}
        56:{2,4,5,6}:{(35,1),(86,1),(87,1),(97,1),(147,1)}
        57:{1,2,4,7}:{(29,1),(30,1),(32,1),(84,1),(88,1),(89,1)}
        58:{2,3,5,7}:{(30,1),(33,1),(37,1),(85,1),(89,1),(90,1),(94,1),(100,1)}
        59:{2,4,6,7}:{(31,1),(40,1),(87,1),(91,1)}
        60:{1,3,4}:{(32,1),(41,1),(92,1)}
        61:{1,2,5}:{(32,1),(33,1),(92,1),(93,1)}
        62:{2,3,6}:{(33,1),(43,1),(93,1),(94,1),(105,1)}
        63:{1,2,4,6}:{(34,1),(36,1),(95,1),(96,1)}
        64:{3,5,6}:{(35,1),(39,1),(97,1),(98,1),(99,1)}
        65:{4,5,7}:{(35,1),(40,1),(99,1),(202,1)}
        66:{3,4,7}:{(36,1),(41,1),(95,1),(100,1),(145,1),(202,1)}
        67:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(42,1),(47,1),(89,1),(96,1),(100,1),(101,1),(106,1),(107,1),(146,1),(154,1),(159,1),(161,1),(195,1),(202,1)}
        68:{2,4,6}:{(37,1),(39,1),(90,1),(97,1)}
        69:{1,4,6}:{(38,1),(39,1),(48,1),(98,1)}
        70:{3,4,6,7}:{(39,1),(40,1),(45,1),(49,1),(91,1),(99,1),(102,1),(103,1),(149,1),(163,1),(202,1)}
        71:{3,5}:{(41,1),(42,1),(105,1)}
        72:{1,2,4,6}:{(42,1),(43,1),(44,1),(51,1),(93,1),(105,1),(106,1),(110,1),(157,1)}
        73:{2,4,7}:{(43,1),(45,1),(52,1),(94,1)}
        74:{1,4,7}:{(44,1),(45,1),(53,1),(202,1)}
        75:{2,3,5,7}:{(46,1),(47,1),(50,1),(100,1),(107,1),(108,1),(190,1),(218,1)}
        76:{1,2,6}:{(47,1),(48,1),(108,1)}
        77:{2,6,7}:{(49,1),(52,1)}
        78:{1,3,6,7}:{(48,1),(49,1),(53,1),(103,1),(109,1),(163,1),(192,1)}
        79:{2,4,5}:{(50,1),(104,1),(110,1),(159,1)}
        80:{2,3,5,6}:{(50,1),(51,1),(105,1),(108,1),(110,1),(111,1),(160,1),(164,1),(166,1)}
        81:{1,2,5,7}:{(51,1),(52,1),(53,1),(106,1),(109,1),(111,1),(200,1)}
        82:{1,2,3,5}:{(54,1),(112,1),(114,1),(119,1),(170,1),(172,1)}
        83:{3,4,5}:{(115,1),(116,1),(117,1),(172,1)}
        84:{1,2,4,6}:{(54,1),(55,1),(57,1),(114,1),(118,1),(119,1),(124,1)}
        85:{2,3,5}:{(55,1),(115,1),(119,1),(130,1),(172,1)}
        86:{3,5,6}:{(56,1),(117,1),(121,1),(122,1)}
        87:{2,4,5,7}:{(56,1),(59,1),(65,1),(122,1),(132,1),(174,1)}
        88:{1,3,4,7}:{(57,1),(60,1),(66,1),(118,1),(123,1),(210,1),(212,1)}
        89:{1,2,5,7}:{(57,1),(58,1),(61,1),(119,1),(123,1),(124,1),(129,1)}
        90:{2,3,6}:{(58,1),(68,1),(124,1),(135,1)}
        91:{3,6,7}:{(59,1),(122,1),(126,1)}
        92:{1,3,5}:{(60,1),(61,1),(71,1),(127,1),(128,1)}
        93:{1,2,6}:{(61,1),(62,1),(128,1),(129,1)}
        94:{2,3,7}:{(62,1),(73,1),(129,1),(138,1)}
        95:{3,4,6}:{(63,1),(66,1),(130,1),(135,1),(183,1)}
        96:{1,2,5}:{(63,1),(130,1)}
        97:{2,5,6}:{(64,1),(68,1),(132,1)}
        98:{1,5,6}:{(64,1),(69,1),(133,1)}
        99:{3,5,7}:{(64,1),(65,1),(70,1),(132,1),(133,1)}
       100:{3,5,7}:{(66,1),(67,1),(71,1),(130,1),(135,1),(138,1),(172,1),(210,1)}
       101:{1,2,4,6}:{(67,1),(68,1),(69,1),(76,1),(124,1),(131,1),(135,1),(139,1),(179,1),(183,1)}
       102:{2,4,6,7}:{(68,1),(70,1),(73,1),(77,1),(125,1),(132,1),(174,1)}
       103:{1,4,6,7}:{(69,1),(70,1),(74,1),(78,1),(126,1),(133,1),(175,1)}
       104:{3,4,5}:{(71,1),(79,1),(127,1),(137,1)}
       105:{3,6}:{(71,1),(72,1),(138,1)}
       106:{1,2,4,7}:{(72,1),(73,1),(74,1),(81,1),(129,1),(138,1),(142,1),(182,1)}
       107:{2,4,5,7}:{(75,1),(79,1),(134,1),(139,1),(142,1),(188,1),(206,1),(225,1)}
       108:{2,3,6}:{(75,1),(76,1),(135,1),(139,1)}
       109:{1,2,6,7}:{(76,1),(77,1),(78,1),(81,1),(140,1),(208,1),(214,1)}
       110:{2,4,6}:{(79,1),(80,1),(137,1),(142,1),(183,1)}
       111:{2,3,5,7}:{(80,1),(81,1),(138,1),(140,1),(142,1),(184,1),(187,1),(188,1)}
       112:{1,2,3}:{(143,1)}
       113:{1,3,4}:{(143,1),(144,1),(145,1)}
       114:{1,2,4}:{(82,1),(145,1)}
       115:{2,4,5}:{(83,1),(85,1),(147,1),(159,1)}
       116:{1,4,5}:{(83,1),(144,1),(148,1)}
       117:{3,4,6}:{(83,1),(86,1),(147,1),(148,1),(149,1),(194,1)}
       118:{1,3,4,6}:{(84,1),(88,1),(95,1),(145,1),(150,1),(155,1),(194,1),(196,1)}
       119:{1,2,5}:{(84,1),(85,1),(150,1)}
       120:{2,3,5,6}:{(85,1),(86,1),(90,1),(97,1),(147,1),(151,1),(152,1),(160,1),(194,1)}
       121:{1,5,6}:{(86,1),(148,1),(153,1)}
       122:{3,5,7}:{(86,1),(87,1),(91,1),(149,1),(153,1)}
       123:{1,3,5,7}:{(88,1),(89,1),(92,1),(100,1),(150,1),(154,1),(155,1),(158,1)}
       124:{1,2,6}:{(89,1),(90,1),(155,1)}
       125:{2,3,6,7}:{(90,1),(91,1),(94,1),(102,1),(152,1),(156,1),(163,1)}
       126:{1,6,7}:{(91,1),(153,1)}
       127:{1,4,5}:{(92,1),(104,1),(157,1)}
       128:{1,3,6}:{(92,1),(93,1),(105,1),(157,1),(158,1)}
       129:{1,2,7}:{(93,1),(94,1),(158,1)}
       130:{3,5}:{(95,1),(96,1),(159,1)}
       131:{1,2,5,6}:{(96,1),(97,1),(98,1),(101,1),(160,1),(161,1),(166,1),(198,1)}
       132:{2,5,7}:{(97,1),(99,1),(102,1)}
       133:{1,5,7}:{(98,1),(99,1),(103,1)}
       134:{3,4,5,7}:{(100,1),(104,1),(107,1),(154,1),(159,1),(162,1),(165,1),(193,1),(202,1),(203,1),(220,1)}
       135:{3,6}:{(100,1),(101,1)}
       136:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(106,1),(109,1),(156,1),(161,1),(163,1),(167,1),(195,1),(199,1),(202,1)}
       137:{3,4,6}:{(104,1),(105,1),(110,1),(157,1),(164,1),(165,1)}
       138:{3,7}:{(105,1),(106,1)}
       139:{2,4,6}:{(107,1),(108,1),(162,1),(166,1)}
       140:{2,3,6,7}:{(108,1),(109,1),(111,1),(163,1),(167,1),(204,1),(218,1)}
       141:{2,4,5,6}:{(110,1),(164,1),(166,1),(168,1),(201,1)}
       142:{2,4,7}:{(110,1),(111,1),(165,1),(202,1)}
       143:{1,2,4}:{(112,1),(113,1),(169,1),(170,1)}
       144:{1,3,5}:{(113,1),(116,1),(170,1),(171,1),(172,1)}
       145:{3,4}:{(114,1),(172,1)}
       146:{1,2,4,5}:{(114,1),(115,1),(116,1),(119,1),(170,1),(172,1),(173,1),(176,1),(206,1)}
       147:{2,4,6}:{(115,1),(117,1),(120,1),(174,1),(183,1)}
       148:{1,4,6}:{(116,1),(117,1),(121,1),(171,1),(175,1)}
       149:{3,4,7}:{(117,1),(122,1),(174,1),(175,1),(210,1)}
       150:{1,3,5}:{(118,1),(119,1),(130,1),(172,1),(176,1)}
       151:{1,2,5,6}:{(119,1),(120,1),(121,1),(124,1),(173,1),(177,1),(178,1),(224,1)}
       152:{2,3,5,7}:{(120,1),(122,1),(125,1),(132,1),(174,1),(178,1),(184,1),(210,1)}
       153:{1,5,7}:{(121,1),(122,1),(126,1),(175,1)}
       154:{1,4,5,7}:{(123,1),(127,1),(134,1),(176,1),(179,1),(182,1),(212,1),(213,1)}
       155:{1,3,6}:{(123,1),(124,1),(135,1),(179,1)}
       156:{1,2,6,7}:{(124,1),(125,1),(126,1),(129,1),(178,1),(180,1),(230,1)}
       157:{1,4,6}:{(127,1),(128,1),(137,1),(181,1),(182,1)}
       158:{1,3,7}:{(128,1),(129,1),(138,1),(182,1)}
       159:{4,5}:{(130,1),(183,1)}
       160:{3,5,6}:{(130,1),(131,1),(135,1),(183,1),(184,1)}
       161:{1,2,5,7}:{(131,1),(132,1),(133,1),(136,1),(184,1),(188,1),(213,1)}
       162:{3,4,6}:{(134,1),(135,1),(139,1),(179,1),(183,1),(185,1)}
       163:{3,6,7}:{(135,1),(136,1),(138,1),(184,1),(210,1)}
       164:{3,5,6}:{(137,1),(141,1),(181,1),(187,1)}
       165:{3,4,7}:{(137,1),(138,1),(142,1),(182,1),(187,1)}
       166:{2,5,6}:{(139,1),(185,1),(188,1)}
       167:{2,4,6,7}:{(139,1),(140,1),(142,1),(186,1),(188,1),(225,1),(230,1)}
       168:{2,4,5,7}:{(141,1),(142,1),(187,1),(188,1),(189,1),(215,1)}
       169:{2,3,4}:{(143,1),(145,1),(190,1)}
       170:{1,2,5}:{(143,1),(144,1),(190,1),(191,1)}
       171:{1,3,6}:{(144,1),(148,1),(191,1),(192,1),(194,1)}
       172:{3,5}:{(145,1),(146,1),(194,1)}
       173:{1,2,4,6}:{(146,1),(147,1),(148,1),(151,1),(191,1),(194,1),(195,1),(196,1),(217,1)}
       174:{2,4,7}:{(147,1),(149,1),(152,1),(202,1)}
       175:{1,4,7}:{(148,1),(149,1),(153,1),(192,1)}
       176:{1,4,5}:{(150,1),(159,1),(193,1),(196,1)}
       177:{1,3,5,6}:{(150,1),(151,1),(155,1),(160,1),(194,1),(196,1),(197,1),(198,1),(219,1)}
       178:{1,2,5,7}:{(151,1),(152,1),(153,1),(156,1),(195,1),(197,1),(228,1)}
       179:{1,4,6}:{(154,1),(155,1),(162,1),(198,1)}
       180:{1,3,6,7}:{(155,1),(156,1),(158,1),(163,1),(197,1),(199,1),(229,1)}
       181:{1,5,6}:{(157,1),(164,1),(200,1)}
       182:{1,4,7}:{(157,1),(158,1),(165,1),(200,1)}
       183:{4,6}:{(159,1),(160,1),(202,1)}
       184:{3,5,7}:{(160,1),(161,1),(163,1),(202,1)}
       185:{3,5,6}:{(162,1),(166,1),(198,1),(201,1),(203,1)}
       186:{3,4,6,7}:{(162,1),(163,1),(165,1),(167,1),(199,1),(202,1),(203,1),(204,1),(220,1),(223,1),(229,1)}
       187:{3,5,7}:{(164,1),(165,1),(168,1),(200,1),(204,1)}
       188:{2,5,7}:{(166,1),(167,1),(203,1)}
       189:{2,4,6,7}:{(168,1),(204,1),(205,1),(223,1)}
       190:{2,3,5}:{(169,1),(170,1),(172,1),(206,1),(207,1)}
       191:{1,2,6}:{(170,1),(171,1),(207,1),(208,1)}
       192:{1,3,7}:{(171,1),(175,1),(208,1),(210,1)}
       193:{3,4,5}:{(172,1),(176,1),(206,1),(209,1)}
       194:{3,6}:{(172,1),(173,1),(210,1)}
       195:{1,2,4,7}:{(173,1),(174,1),(175,1),(178,1),(208,1),(210,1),(212,1),(225,1)}
       196:{1,4,6}:{(176,1),(177,1),(183,1),(209,1),(212,1)}
       197:{1,3,5,7}:{(177,1),(178,1),(180,1),(184,1),(210,1),(212,1),(213,1),(226,1)}
       198:{1,5,6}:{(179,1),(185,1),(213,1)}
       199:{1,4,6,7}:{(179,1),(180,1),(182,1),(186,1),(212,1),(213,1),(214,1)}
       200:{1,5,7}:{(181,1),(182,1),(187,1),(214,1)}
       201:{4,5,6}:{(183,1),(185,1),(215,1)}
       202:{4,7}:{(183,1),(184,1)}
       203:{3,5,7}:{(185,1),(186,1),(188,1),(213,1),(215,1)}
       204:{3,6,7}:{(187,1),(189,1),(214,1)}
       205:{2,5,6,7}:{(188,1),(189,1),(216,1),(230,1)}
       206:{2,4,5}:{(190,1),(193,1),(217,1)}
       207:{2,3,6}:{(190,1),(191,1),(194,1),(217,1),(218,1)}
       208:{1,2,7}:{(191,1),(192,1),(218,1)}
       209:{3,4,6}:{(193,1),(194,1),(196,1),(217,1),(219,1),(220,1)}
       210:{3,7}:{(194,1),(195,1)}
       211:{1,4,5,6}:{(196,1),(198,1),(201,1),(219,1),(221,1)}
       212:{1,4,7}:{(196,1),(197,1),(202,1),(220,1)}
       213:{1,5,7}:{(198,1),(199,1),(203,1)}
       214:{1,6,7}:{(200,1),(204,1)}
       215:{4,5,7}:{(201,1),(202,1),(203,1),(223,1)}
       216:{3,5,6,7}:{(203,1),(204,1),(205,1),(222,1),(223,1),(229,1)}
       217:{2,4,6}:{(206,1),(207,1),(209,1),(224,1),(225,1)}
       218:{2,3,7}:{(207,1),(208,1),(210,1),(225,1)}
       219:{3,5,6}:{(209,1),(211,1),(224,1),(226,1)}
       220:{3,4,7}:{(209,1),(210,1),(212,1),(225,1),(226,1)}
       221:{1,4,5,7}:{(211,1),(212,1),(213,1),(215,1),(226,1),(227,1)}
       222:{1,5,6,7}:{(213,1),(214,1),(216,1),(227,1)}
       223:{4,6,7}:{(215,1),(216,1)}
       224:{2,5,6}:{(217,1),(219,1),(228,1)}
       225:{2,4,7}:{(217,1),(218,1),(220,1),(228,1)}
       226:{3,5,7}:{(219,1),(220,1),(221,1),(228,1),(229,1)}
       227:{1,4,6,7}:{(221,1),(222,1),(223,1),(229,1)}
       228:{2,5,7}:{(224,1),(225,1),(226,1),(230,1)}
       229:{3,6,7}:{(226,1),(227,1),(230,1)}
       230:{2,6,7}:{(228,1),(229,1)}

1737 :   0:{1,2,4,5,6}:{(2,1),(3,1),(17,1),(18,1),(19,1),(42,1),(51,1),(77,1),(78,1),(81,1),(99,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(62,1),(63,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(24,1),(29,1),(30,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(6,1),(7,1),(69,1),(91,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(12,1),(43,1),(96,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(44,1),(45,1),(46,1),(81,1)}
         6:{3,5,7}:{(2,1),(3,1),(12,1),(13,1)}
         7:{3,4,6}:{(3,1),(13,1),(16,1),(17,1),(18,1),(52,1),(83,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(21,1),(52,1),(53,1),(76,1),(77,1),(94,1),(96,1),(103,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(40,1),(52,1),(56,1),(73,1),(78,1),(84,1),(96,1),(99,1)}
        10:{1,3,4,6}:{(17,1),(20,1),(21,1),(22,1),(52,1),(53,1),(83,1),(98,1)}
        11:{4,6,7}:{(4,1),(24,1),(101,1)}
        12:{3,6,7}:{(5,1),(6,1),(91,1)}
        13:{3,4,7}:{(6,1),(7,1),(29,1),(30,1),(68,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(26,1),(29,1),(31,1),(62,1),(68,1),(90,1)}
        15:{2,3,5,7}:{(6,1),(9,1),(27,1),(30,1),(31,1),(63,1),(68,1),(90,1)}
        16:{3,4,5}:{(7,1),(32,1),(33,1),(69,1),(102,1)}
        17:{1,4,6}:{(7,1),(8,1),(29,1),(32,1),(88,1),(101,1)}
        18:{2,4,6}:{(7,1),(9,1),(30,1),(33,1),(72,1),(101,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(37,1),(59,1),(70,1),(86,1)}
        20:{1,3,4,7}:{(10,1),(29,1),(35,1),(36,1),(68,1),(92,1)}
        21:{1,3,5}:{(10,1),(32,1),(37,1),(69,1),(102,1)}
        22:{1,2,4,6}:{(10,1),(36,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        23:{2,3,4,6}:{(18,1),(39,1),(40,1),(41,1),(52,1),(73,1),(83,1),(98,1)}
        24:{4,5,7}:{(11,1),(42,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(13,1),(43,1),(44,1),(45,1),(47,1),(80,1),(97,1),(98,1)}
        26:{1,3,6,7}:{(12,1),(14,1),(44,1),(46,1),(53,1),(80,1),(94,1)}
        27:{2,3,6,7}:{(12,1),(15,1),(45,1),(46,1),(73,1),(80,1),(84,1)}
        28:{3,4,5,7}:{(13,1),(16,1),(43,1),(47,1),(48,1),(49,1),(82,1),(97,1),(104,1)}
        29:{1,4,7}:{(13,1),(14,1),(17,1),(97,1)}
        30:{2,4,7}:{(13,1),(15,1),(18,1),(97,1)}
        31:{1,2,5,7}:{(14,1),(15,1),(19,1),(46,1),(50,1)}
        32:{1,4,5}:{(16,1),(17,1),(21,1),(103,1),(104,1)}
        33:{2,4,5}:{(16,1),(18,1),(40,1),(99,1),(104,1)}
        34:{1,2,4,6}:{(17,1),(18,1),(19,1),(50,1),(51,1),(52,1)}
        35:{1,3,5,7}:{(20,1),(21,1),(48,1),(53,1),(54,1),(82,1)}
        36:{1,2,4,7}:{(20,1),(22,1),(54,1),(55,1),(85,1)}
        37:{1,2,5}:{(21,1),(22,1),(56,1),(99,1)}
        38:{2,3,6}:{(22,1),(52,1),(55,1),(56,1)}
        39:{2,3,4,7}:{(23,1),(30,1),(57,1),(58,1),(68,1),(92,1)}
        40:{2,3,5}:{(23,1),(33,1),(59,1),(69,1),(102,1)}
        41:{1,2,4,6}:{(23,1),(58,1),(59,1),(60,1),(86,1),(88,1),(100,1)}
        42:{4,5,6}:{(24,1),(61,1),(101,1)}
        43:{3,5,7}:{(24,1),(25,1),(61,1),(62,1),(63,1),(102,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(62,1),(65,1),(100,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(63,1),(66,1),(93,1)}
        46:{1,2,6,7}:{(26,1),(27,1),(31,1),(70,1),(86,1)}
        47:{3,4,6}:{(28,1),(61,1),(65,1),(66,1),(91,1),(101,1)}
        48:{1,4,5,7}:{(28,1),(29,1),(32,1),(35,1),(62,1),(65,1)}
        49:{2,4,5,7}:{(28,1),(30,1),(33,1),(57,1),(63,1),(66,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(68,1)}
        51:{1,2,4,5}:{(32,1),(33,1),(34,1),(37,1),(59,1),(69,1),(72,1),(88,1)}
        52:{3,6}:{(34,1),(68,1),(69,1)}
        53:{1,3,6}:{(35,1),(65,1),(70,1),(91,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(37,1),(70,1),(71,1)}
        55:{2,3,7}:{(36,1),(38,1),(68,1)}
        56:{2,3,5}:{(37,1),(38,1),(69,1),(72,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(49,1),(73,1),(74,1),(82,1)}
        58:{1,2,4,7}:{(39,1),(41,1),(74,1),(75,1),(95,1)}
        59:{1,2,5}:{(40,1),(41,1),(76,1),(103,1)}
        60:{1,3,6}:{(41,1),(52,1),(75,1),(76,1)}
        61:{3,5,6}:{(42,1),(43,1),(47,1),(77,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(77,1),(103,1)}
        63:{2,5,7}:{(43,1),(45,1),(78,1),(99,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(50,1),(79,1),(80,1),(81,1),(97,1)}
        65:{1,4,6}:{(47,1),(48,1),(53,1),(77,1)}
        66:{2,4,6}:{(47,1),(49,1),(73,1),(78,1)}
        67:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(51,1),(54,1),(74,1),(79,1),(81,1),(82,1),(85,1),(95,1),(97,1),(99,1),(103,1),(104,1)}
        68:{3,7}:{(50,1),(52,1)}
        69:{3,5}:{(51,1),(52,1),(83,1)}
        70:{1,2,6}:{(53,1),(54,1),(84,1)}
        71:{2,3,5,7}:{(54,1),(55,1),(56,1),(82,1),(84,1),(85,1),(99,1)}
        72:{2,4}:{(56,1),(83,1)}
        73:{2,3,6}:{(57,1),(66,1),(86,1),(91,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(86,1),(87,1)}
        75:{1,3,7}:{(58,1),(60,1),(68,1)}
        76:{1,3,5}:{(59,1),(60,1),(69,1),(88,1)}
        77:{1,5,6}:{(61,1),(62,1),(65,1)}
        78:{2,5,6}:{(61,1),(63,1),(66,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(89,1),(90,1)}
        80:{3,6,7}:{(64,1),(68,1),(90,1),(91,1)}
        81:{1,2,4,6}:{(65,1),(66,1),(67,1),(70,1),(86,1),(89,1),(91,1),(93,1),(100,1),(101,1)}
        82:{3,5,7}:{(67,1),(68,1),(69,1),(91,1),(92,1),(102,1)}
        83:{3,4}:{(69,1),(72,1),(88,1)}
        84:{2,3,6}:{(70,1),(71,1),(91,1),(93,1)}
        85:{2,4,7}:{(71,1),(72,1),(92,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{1,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(94,1),(95,1),(103,1)}
        88:{1,4}:{(76,1),(83,1)}
        89:{1,2,5,6}:{(77,1),(78,1),(79,1),(81,1),(96,1),(99,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{3,6}:{(81,1),(82,1)}
        92:{3,4,7}:{(82,1),(83,1),(85,1),(95,1),(97,1),(98,1)}
        93:{2,4,6}:{(84,1),(85,1),(98,1),(99,1)}
        94:{1,3,6}:{(86,1),(87,1),(91,1),(100,1)}
        95:{1,4,7}:{(87,1),(88,1),(92,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(91,1),(101,1),(102,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{3,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(102,1)}
        99:{2,5}:{(93,1),(102,1)}
       100:{1,4,6}:{(94,1),(95,1),(98,1),(103,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{3,5}:{(98,1),(99,1),(103,1),(104,1)}
       103:{1,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1738 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(19,1),(20,1),(21,1),(44,1),(76,1),(95,1),(96,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(114,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(16,1),(20,1),(124,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(14,1),(76,1),(100,1),(122,1)}
         4:{1,2,4,5,6}:{(2,1),(10,1),(26,1),(27,1),(31,1)}
         5:{3,5,7}:{(2,1),(3,1),(10,1),(132,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(59,1),(60,1),(88,1),(89,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(59,1),(60,1),(90,1),(91,1),(114,1)}
         8:{3,4,5,7}:{(5,1),(14,1),(15,1),(16,1),(43,1),(100,1),(101,1)}
         9:{1,2,4,5,6,7}:{(4,1),(17,1),(40,1),(41,1),(44,1),(67,1),(109,1)}
        10:{3,5,6}:{(4,1),(5,1),(14,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(15,1),(18,1),(20,1),(43,1),(105,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(16,1),(19,1),(20,1),(43,1),(107,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(42,1),(46,1),(103,1)}
        14:{3,4,6}:{(8,1),(10,1),(26,1),(27,1),(59,1)}
        15:{1,4,5,7}:{(8,1),(11,1),(26,1),(112,1),(113,1)}
        16:{2,4,5,7}:{(8,1),(12,1),(27,1),(114,1),(115,1)}
        17:{3,5,6,7}:{(9,1),(10,1),(25,1),(84,1),(121,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(26,1),(31,1),(59,1)}
        19:{2,3,5,6}:{(10,1),(12,1),(27,1),(31,1),(59,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(31,1),(118,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(59,1),(86,1),(88,1),(90,1)}
        22:{3,4,5,6}:{(14,1),(33,1),(34,1),(35,1),(68,1),(101,1),(127,1)}
        23:{2,3,4,5,7}:{(16,1),(36,1),(37,1),(43,1),(63,1),(75,1),(100,1),(101,1),(107,1),(126,1),(137,1)}
        24:{1,3,4,5,7}:{(15,1),(38,1),(39,1),(43,1),(65,1),(72,1),(100,1),(101,1),(105,1),(125,1),(137,1)}
        25:{3,4,6,7}:{(14,1),(17,1),(33,1),(40,1),(41,1),(76,1),(100,1),(127,1)}
        26:{1,4,6}:{(14,1),(15,1),(18,1)}
        27:{2,4,6}:{(14,1),(16,1),(19,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(20,1),(42,1),(43,1),(46,1),(79,1)}
        29:{1,3,5,6,7}:{(17,1),(18,1),(40,1),(44,1),(65,1),(76,1),(96,1),(129,1)}
        30:{2,3,5,6,7}:{(17,1),(19,1),(41,1),(44,1),(63,1),(76,1),(98,1),(130,1)}
        31:{1,2,5,6}:{(18,1),(19,1),(20,1),(42,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(46,1),(96,1),(98,1)}
        33:{3,4,5,7}:{(22,1),(25,1),(49,1),(50,1),(84,1)}
        34:{1,4,5,6}:{(22,1),(26,1),(48,1),(49,1),(113,1),(134,1)}
        35:{2,4,5,6}:{(22,1),(27,1),(47,1),(50,1),(115,1),(135,1)}
        36:{2,3,4,6}:{(23,1),(27,1),(47,1),(53,1),(59,1),(85,1),(135,1),(139,1)}
        37:{1,2,4,5,7}:{(23,1),(53,1),(54,1),(80,1),(87,1),(112,1),(113,1),(118,1)}
        38:{1,3,4,6}:{(24,1),(26,1),(48,1),(56,1),(59,1),(85,1),(134,1),(139,1)}
        39:{1,2,4,5,7}:{(24,1),(56,1),(57,1),(82,1),(87,1),(114,1),(115,1),(118,1)}
        40:{1,4,6,7}:{(25,1),(26,1),(29,1),(49,1),(112,1),(134,1)}
        41:{2,4,6,7}:{(25,1),(27,1),(30,1),(50,1),(114,1),(135,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(59,1)}
        43:{3,5,7}:{(28,1),(59,1),(60,1),(93,1)}
        44:{1,2,5,6,7}:{(29,1),(30,1),(31,1),(58,1),(80,1),(82,1),(136,1)}
        45:{1,2,3,5,6}:{(31,1),(32,1),(59,1),(62,1),(81,1),(83,1),(86,1),(93,1),(118,1)}
        46:{1,2,4,7}:{(32,1),(60,1),(62,1),(112,1),(114,1)}
        47:{2,3,5,6}:{(35,1),(36,1),(63,1),(64,1),(68,1),(107,1)}
        48:{1,3,5,6}:{(34,1),(38,1),(65,1),(66,1),(68,1),(105,1)}
        49:{1,4,5,7}:{(33,1),(34,1),(40,1),(65,1)}
        50:{2,4,5,7}:{(33,1),(35,1),(41,1),(63,1)}
        51:{1,2,4,5,6}:{(34,1),(35,1),(42,1),(64,1),(66,1),(67,1),(68,1),(79,1),(97,1),(99,1),(124,1),(138,1)}
        52:{2,3,4,6,7}:{(36,1),(41,1),(63,1),(70,1),(76,1),(100,1)}
        53:{1,2,4,6}:{(36,1),(37,1),(64,1),(71,1),(97,1)}
        54:{1,3,5,7}:{(37,1),(43,1),(71,1),(72,1),(105,1),(137,1)}
        55:{1,3,4,6,7}:{(38,1),(40,1),(65,1),(73,1),(76,1),(100,1)}
        56:{1,2,4,6}:{(38,1),(39,1),(66,1),(74,1),(99,1)}
        57:{2,3,5,7}:{(39,1),(43,1),(74,1),(75,1),(107,1),(137,1)}
        58:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(44,1),(67,1),(76,1),(138,1)}
        59:{3,6}:{(42,1),(43,1)}
        60:{3,4,7}:{(43,1),(46,1),(77,1)}
        61:{1,2,3,5,6,7}:{(44,1),(45,1),(76,1),(78,1),(96,1),(98,1),(102,1),(108,1),(128,1),(129,1),(130,1)}
        62:{1,2,4,6}:{(45,1),(46,1),(77,1),(79,1),(97,1),(99,1)}
        63:{2,3,5,7}:{(47,1),(50,1),(52,1),(80,1),(84,1)}
        64:{1,2,5,6}:{(47,1),(53,1),(80,1),(81,1),(118,1)}
        65:{1,3,5,7}:{(48,1),(49,1),(55,1),(82,1),(84,1)}
        66:{1,2,5,6}:{(48,1),(56,1),(82,1),(83,1),(118,1)}
        67:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(58,1),(80,1),(82,1),(84,1),(112,1),(114,1)}
        68:{3,5,6}:{(51,1),(59,1),(84,1),(85,1),(93,1),(132,1),(139,1)}
        69:{1,2,3,5,7}:{(54,1),(57,1),(86,1),(87,1),(118,1)}
        70:{1,2,4,6,7}:{(52,1),(53,1),(80,1),(88,1),(112,1)}
        71:{1,3,6}:{(53,1),(54,1),(59,1),(139,1)}
        72:{1,3,4,7}:{(54,1),(60,1),(87,1),(89,1),(112,1),(131,1)}
        73:{1,2,4,6,7}:{(55,1),(56,1),(82,1),(90,1),(114,1)}
        74:{2,3,6}:{(56,1),(57,1),(59,1),(139,1)}
        75:{2,3,4,7}:{(57,1),(60,1),(87,1),(91,1),(114,1),(131,1)}
        76:{3,6,7}:{(58,1),(59,1),(84,1),(139,1)}
        77:{3,4,6}:{(59,1),(60,1),(62,1),(93,1)}
        78:{1,2,4,6,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(114,1),(134,1),(135,1)}
        79:{1,2,4,5}:{(62,1),(93,1),(113,1),(115,1),(118,1)}
        80:{1,2,5,7}:{(63,1),(64,1),(70,1),(96,1)}
        81:{1,3,5,6}:{(64,1),(68,1),(71,1),(96,1),(97,1),(105,1)}
        82:{1,2,5,7}:{(65,1),(66,1),(73,1),(98,1)}
        83:{2,3,5,6}:{(66,1),(68,1),(74,1),(98,1),(99,1),(107,1)}
        84:{3,5,7}:{(67,1),(68,1),(76,1),(100,1)}
        85:{3,4,6}:{(68,1),(97,1),(99,1),(100,1),(101,1)}
        86:{1,2,3,6}:{(69,1),(71,1),(74,1),(103,1)}
        87:{1,2,4,7}:{(69,1),(72,1),(75,1),(103,1)}
        88:{1,3,6,7}:{(70,1),(71,1),(76,1),(96,1)}
        89:{1,3,4,6}:{(71,1),(72,1),(77,1),(97,1),(103,1),(105,1),(122,1)}
        90:{2,3,6,7}:{(73,1),(74,1),(76,1),(98,1)}
        91:{2,3,4,6}:{(74,1),(75,1),(77,1),(99,1),(103,1),(107,1),(122,1)}
        92:{3,4,6,7}:{(76,1),(77,1),(78,1),(100,1),(108,1),(127,1)}
        93:{3,5}:{(77,1),(79,1)}
        94:{1,2,4,5,7}:{(78,1),(79,1),(108,1),(109,1),(125,1),(126,1),(128,1)}
        95:{1,2,3,5,6}:{(81,1),(83,1),(86,1),(110,1),(111,1),(118,1),(132,1),(136,1),(139,1)}
        96:{1,3,5,7}:{(80,1),(81,1),(84,1),(88,1),(112,1)}
        97:{1,4,6}:{(81,1),(85,1),(112,1),(113,1)}
        98:{2,3,5,7}:{(82,1),(83,1),(84,1),(90,1),(114,1)}
        99:{2,4,6}:{(83,1),(85,1),(114,1),(115,1)}
       100:{3,4,7}:{(84,1),(85,1),(112,1),(114,1)}
       101:{3,4,5}:{(85,1),(93,1),(113,1),(115,1),(132,1)}
       102:{1,2,3,6,7}:{(86,1),(88,1),(90,1),(110,1),(117,1),(139,1)}
       103:{1,2,4,6}:{(86,1),(87,1),(89,1),(91,1),(118,1)}
       104:{1,3,4,6,7}:{(88,1),(89,1),(92,1),(112,1),(117,1),(119,1),(131,1),(134,1),(139,1)}
       105:{1,3,5}:{(89,1),(93,1),(113,1),(118,1),(132,1)}
       106:{2,3,4,6,7}:{(90,1),(91,1),(92,1),(114,1),(117,1),(120,1),(131,1),(135,1),(139,1)}
       107:{2,3,5}:{(91,1),(93,1),(115,1),(118,1),(132,1)}
       108:{3,5,7}:{(92,1),(93,1),(94,1),(121,1)}
       109:{1,2,4,5,6}:{(94,1),(121,1),(134,1),(135,1),(136,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(102,1),(123,1),(128,1),(137,1)}
       111:{1,2,4,6}:{(95,1),(97,1),(99,1),(122,1),(123,1),(124,1)}
       112:{1,4,7}:{(96,1),(97,1),(100,1)}
       113:{1,4,5}:{(97,1),(101,1),(105,1)}
       114:{2,4,7}:{(98,1),(99,1),(100,1)}
       115:{2,4,5}:{(99,1),(101,1),(107,1)}
       116:{3,4,5,7}:{(100,1),(101,1),(108,1),(125,1),(126,1),(127,1),(137,1)}
       117:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(106,1),(123,1),(128,1),(138,1)}
       118:{1,2,5}:{(103,1),(105,1),(107,1)}
       119:{1,3,5,7}:{(104,1),(105,1),(108,1),(125,1),(128,1),(129,1),(137,1)}
       120:{2,3,5,7}:{(106,1),(107,1),(108,1),(126,1),(128,1),(130,1),(137,1)}
       121:{3,5,6}:{(108,1),(109,1),(127,1)}
       122:{3,4,6}:{(111,1),(131,1),(132,1),(139,1)}
       123:{1,2,4,7}:{(110,1),(111,1),(112,1),(114,1),(131,1)}
       124:{1,2,4,5}:{(111,1),(113,1),(115,1),(118,1),(132,1)}
       125:{1,4,5,7}:{(112,1),(113,1),(116,1),(119,1),(134,1)}
       126:{2,4,5,7}:{(114,1),(115,1),(116,1),(120,1),(135,1)}
       127:{3,4,6}:{(116,1),(121,1),(134,1),(135,1),(139,1)}
       128:{1,2,5,7}:{(117,1),(118,1),(119,1),(120,1),(136,1)}
       129:{1,3,5,6}:{(119,1),(121,1),(134,1),(136,1),(139,1)}
       130:{2,3,5,6}:{(120,1),(121,1),(135,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(137,1)}
       132:{3,5}:{(122,1),(124,1)}
       133:{1,2,4,5,7}:{(123,1),(124,1),(125,1),(126,1),(128,1),(137,1),(138,1)}
       134:{1,4,6}:{(125,1),(127,1),(129,1)}
       135:{2,4,6}:{(126,1),(127,1),(130,1)}
       136:{1,2,5,6}:{(128,1),(129,1),(130,1),(138,1)}
       137:{3,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       138:{1,2,4,6}:{(133,1),(134,1),(135,1),(136,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1739 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(29,1),(191,1),(198,1),(220,1)}
         1:{2,3,4,5}:{(5,1),(6,1),(79,1),(84,1),(150,1)}
         2:{3,4,5,7}:{(0,1),(11,1),(12,1),(13,1),(50,1),(174,1)}
         3:{1,4,5,6}:{(0,1),(9,1),(12,1),(204,1),(225,1)}
         4:{2,4,5,6}:{(0,1),(8,1),(13,1),(178,1),(214,1)}
         5:{2,3,4,6}:{(1,1),(8,1),(16,1),(17,1),(51,1)}
         6:{1,2,4,5}:{(1,1),(17,1),(18,1),(57,1),(106,1),(119,1)}
         7:{1,3,4,5}:{(19,1),(20,1),(79,1),(125,1),(185,1)}
         8:{2,3,5,6}:{(4,1),(5,1),(21,1),(22,1),(29,1),(150,1),(201,1)}
         9:{1,3,5,6}:{(3,1),(19,1),(23,1),(24,1),(29,1),(185,1),(217,1)}
        10:{4,5,6,7}:{(25,1),(143,1),(230,1)}
        11:{3,4,6,7}:{(2,1),(25,1),(26,1),(27,1),(77,1),(143,1),(220,1)}
        12:{1,4,5,7}:{(2,1),(3,1),(23,1),(26,1)}
        13:{2,4,5,7}:{(2,1),(4,1),(21,1),(27,1)}
        14:{1,2,4,5,6}:{(3,1),(4,1),(22,1),(24,1),(28,1),(29,1),(72,1),(75,1),(138,1),(195,1),(196,1),(197,1),(198,1)}
        15:{1,3,4,5}:{(30,1),(31,1),(35,1),(88,1),(191,1)}
        16:{2,3,4,7}:{(5,1),(21,1),(33,1),(78,1)}
        17:{1,2,4,6}:{(5,1),(6,1),(22,1),(33,1),(34,1),(72,1)}
        18:{1,3,5}:{(6,1),(34,1),(35,1)}
        19:{1,3,4,6}:{(7,1),(9,1),(37,1),(38,1),(51,1)}
        20:{1,2,4,5}:{(7,1),(38,1),(39,1),(94,1),(109,1),(159,1)}
        21:{2,3,5,7}:{(8,1),(13,1),(16,1),(41,1),(42,1),(50,1)}
        22:{1,2,5,6}:{(8,1),(17,1),(42,1),(43,1),(119,1),(180,1)}
        23:{1,3,5,7}:{(9,1),(12,1),(37,1),(44,1),(45,1),(50,1)}
        24:{1,2,5,6}:{(9,1),(38,1),(45,1),(46,1),(159,1),(206,1)}
        25:{3,5,6,7}:{(10,1),(11,1),(47,1),(48,1),(227,1)}
        26:{1,4,6,7}:{(11,1),(12,1),(44,1),(47,1),(225,1)}
        27:{2,4,6,7}:{(11,1),(13,1),(41,1),(48,1),(214,1)}
        28:{1,2,4,5,7}:{(12,1),(13,1),(14,1),(42,1),(45,1),(49,1),(50,1),(105,1),(108,1),(170,1),(172,1),(174,1)}
        29:{3,5,6}:{(14,1),(50,1),(51,1),(167,1),(211,1)}
        30:{1,3,4,6}:{(15,1),(52,1),(53,1),(54,1),(165,1)}
        31:{1,2,4,5}:{(15,1),(54,1),(55,1),(57,1),(119,1),(178,1)}
        32:{1,2,3,5}:{(18,1),(55,1),(56,1),(57,1),(119,1)}
        33:{1,2,4,7}:{(16,1),(17,1),(42,1),(58,1),(105,1)}
        34:{1,3,6}:{(17,1),(18,1),(58,1)}
        35:{1,3,4}:{(18,1),(57,1)}
        36:{2,3,4,5}:{(60,1),(61,1),(65,1),(129,1),(191,1)}
        37:{1,3,4,7}:{(19,1),(23,1),(63,1),(78,1)}
        38:{1,2,4,6}:{(19,1),(20,1),(24,1),(63,1),(64,1),(75,1)}
        39:{2,3,5}:{(20,1),(64,1),(65,1)}
        40:{3,4,5,6}:{(66,1),(67,1),(68,1),(79,1),(134,1),(145,1),(230,1)}
        41:{2,3,6,7}:{(21,1),(27,1),(70,1),(77,1),(201,1)}
        42:{1,2,5,7}:{(21,1),(22,1),(33,1),(70,1),(71,1)}
        43:{1,3,5,6}:{(22,1),(29,1),(34,1),(71,1),(72,1),(88,1),(152,1),(196,1)}
        44:{1,3,6,7}:{(23,1),(26,1),(73,1),(77,1),(217,1)}
        45:{1,2,5,7}:{(23,1),(24,1),(63,1),(73,1),(74,1)}
        46:{2,3,5,6}:{(24,1),(29,1),(64,1),(74,1),(75,1),(129,1),(187,1),(197,1)}
        47:{1,5,6,7}:{(25,1),(26,1),(229,1)}
        48:{2,5,6,7}:{(25,1),(27,1),(223,1)}
        49:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(70,1),(73,1),(76,1),(77,1),(139,1),(141,1),(143,1),(195,1)}
        50:{3,5,7}:{(28,1),(29,1),(77,1),(78,1)}
        51:{3,4,6}:{(29,1),(72,1),(75,1),(78,1),(79,1)}
        52:{1,3,5,6}:{(30,1),(67,1),(80,1),(81,1),(88,1),(134,1),(152,1)}
        53:{1,3,4,7}:{(30,1),(80,1),(82,1),(190,1)}
        54:{1,2,4,6}:{(30,1),(31,1),(81,1),(82,1),(83,1),(148,1)}
        55:{2,3,5}:{(31,1),(83,1),(84,1)}
        56:{1,2,3,6}:{(32,1),(34,1),(83,1),(85,1),(86,1)}
        57:{1,2,4}:{(32,1),(35,1),(84,1)}
        58:{1,3,7}:{(33,1),(34,1)}
        59:{1,3,4,6}:{(34,1),(35,1),(72,1),(86,1),(87,1),(88,1),(135,1),(152,1)}
        60:{2,3,4,6}:{(36,1),(89,1),(90,1),(91,1),(165,1)}
        61:{1,2,4,5}:{(36,1),(91,1),(92,1),(94,1),(159,1),(204,1)}
        62:{1,2,3,5}:{(39,1),(92,1),(93,1),(94,1),(159,1)}
        63:{1,2,4,7}:{(37,1),(38,1),(45,1),(95,1),(108,1)}
        64:{2,3,6}:{(38,1),(39,1),(95,1)}
        65:{2,3,4}:{(39,1),(94,1)}
        66:{3,4,5,7}:{(40,1),(98,1),(99,1),(100,1),(164,1),(226,1)}
        67:{1,4,5,6}:{(40,1),(52,1),(99,1),(106,1),(171,1)}
        68:{2,4,5,6}:{(40,1),(89,1),(100,1),(109,1),(173,1)}
        69:{1,2,3,5,6}:{(43,1),(46,1),(56,1),(93,1),(102,1),(103,1),(115,1),(119,1),(155,1),(159,1),(167,1),(180,1),(206,1),(211,1),(212,1)}
        70:{1,2,6,7}:{(41,1),(42,1),(104,1),(180,1)}
        71:{1,3,5,7}:{(42,1),(43,1),(50,1),(58,1),(104,1),(105,1),(170,1)}
        72:{1,4,6}:{(43,1),(51,1),(105,1),(106,1)}
        73:{1,2,6,7}:{(44,1),(45,1),(107,1),(206,1)}
        74:{2,3,5,7}:{(45,1),(46,1),(50,1),(95,1),(107,1),(108,1),(172,1)}
        75:{2,4,6}:{(46,1),(51,1),(108,1),(109,1)}
        76:{1,2,5,6,7}:{(47,1),(48,1),(49,1),(110,1),(170,1),(172,1),(212,1)}
        77:{3,6,7}:{(49,1),(50,1),(211,1)}
        78:{3,4,7}:{(50,1),(51,1),(105,1),(108,1)}
        79:{3,4,5}:{(51,1),(106,1),(109,1),(167,1)}
        80:{1,3,5,7}:{(52,1),(53,1),(99,1),(113,1),(114,1),(164,1)}
        81:{1,2,5,6}:{(52,1),(54,1),(114,1),(115,1),(119,1),(180,1)}
        82:{1,2,4,7}:{(53,1),(54,1),(114,1),(116,1),(177,1)}
        83:{2,3,6}:{(54,1),(55,1),(116,1)}
        84:{2,3,4}:{(55,1),(57,1)}
        85:{1,2,3,7}:{(56,1),(58,1),(116,1),(118,1)}
        86:{1,2,4,6}:{(56,1),(57,1),(59,1),(117,1),(118,1),(119,1),(180,1)}
        87:{1,3,4,7}:{(58,1),(59,1),(105,1),(118,1),(120,1),(166,1)}
        88:{1,3,5}:{(59,1),(106,1),(119,1),(167,1)}
        89:{2,3,5,6}:{(60,1),(68,1),(121,1),(122,1),(129,1),(134,1),(187,1)}
        90:{2,3,4,7}:{(60,1),(121,1),(123,1),(190,1)}
        91:{1,2,4,6}:{(60,1),(61,1),(122,1),(123,1),(124,1),(183,1)}
        92:{1,3,5}:{(61,1),(124,1),(125,1)}
        93:{1,2,3,6}:{(62,1),(64,1),(124,1),(126,1),(127,1)}
        94:{1,2,4}:{(62,1),(65,1),(125,1)}
        95:{2,3,7}:{(63,1),(64,1)}
        96:{2,3,4,6}:{(64,1),(65,1),(75,1),(127,1),(128,1),(129,1),(135,1),(187,1)}
        97:{4,5,6,7}:{(130,1),(198,1),(218,1)}
        98:{3,4,6,7}:{(66,1),(130,1),(131,1),(132,1),(145,1),(189,1),(218,1)}
        99:{1,4,5,7}:{(66,1),(67,1),(80,1),(131,1)}
       100:{2,4,5,7}:{(66,1),(68,1),(121,1),(132,1)}
       101:{1,2,4,5,6}:{(67,1),(68,1),(81,1),(122,1),(133,1),(134,1),(138,1),(148,1),(183,1),(195,1),(223,1),(229,1),(230,1)}
       102:{1,2,3,5,7}:{(69,1),(71,1),(74,1),(85,1),(126,1),(136,1),(137,1),(147,1),(151,1),(182,1),(186,1),(193,1),(194,1)}
       103:{1,2,4,6}:{(69,1),(72,1),(75,1),(135,1),(137,1),(138,1),(148,1),(183,1)}
       104:{1,3,6,7}:{(70,1),(71,1),(77,1),(139,1),(152,1)}
       105:{1,4,7}:{(71,1),(72,1),(78,1)}
       106:{1,4,5}:{(72,1),(79,1),(88,1)}
       107:{2,3,6,7}:{(73,1),(74,1),(77,1),(141,1),(187,1)}
       108:{2,4,7}:{(74,1),(75,1),(78,1)}
       109:{2,4,5}:{(75,1),(79,1),(129,1)}
       110:{3,5,6,7}:{(76,1),(77,1),(143,1),(144,1),(222,1)}
       111:{3,4,6,7}:{(77,1),(78,1),(139,1),(141,1),(143,1),(144,1),(145,1)}
       112:{3,4,5,7}:{(78,1),(79,1),(140,1),(142,1),(144,1),(145,1),(193,1),(221,1)}
       113:{1,3,6,7}:{(80,1),(131,1),(146,1),(152,1),(189,1)}
       114:{1,2,5,7}:{(80,1),(81,1),(82,1),(146,1),(147,1)}
       115:{2,3,5,6}:{(81,1),(83,1),(134,1),(147,1),(148,1),(150,1),(201,1),(223,1)}
       116:{2,3,7}:{(82,1),(83,1)}
       117:{2,3,4,6}:{(83,1),(84,1),(86,1),(135,1),(148,1),(149,1),(150,1),(201,1)}
       118:{1,2,4,7}:{(85,1),(86,1),(87,1),(149,1),(151,1)}
       119:{1,2,5}:{(86,1),(88,1),(150,1)}
       120:{1,3,5,7}:{(87,1),(88,1),(140,1),(151,1),(152,1),(193,1)}
       121:{2,3,5,7}:{(89,1),(90,1),(100,1),(153,1),(154,1),(164,1)}
       122:{1,2,5,6}:{(89,1),(91,1),(154,1),(155,1),(159,1),(206,1)}
       123:{1,2,4,7}:{(90,1),(91,1),(154,1),(156,1),(203,1)}
       124:{1,3,6}:{(91,1),(92,1),(156,1)}
       125:{1,3,4}:{(92,1),(94,1)}
       126:{1,2,3,7}:{(93,1),(95,1),(156,1),(158,1)}
       127:{1,2,4,6}:{(93,1),(94,1),(96,1),(157,1),(158,1),(159,1),(206,1)}
       128:{2,3,4,7}:{(95,1),(96,1),(108,1),(158,1),(160,1),(166,1)}
       129:{2,3,5}:{(96,1),(109,1),(159,1),(167,1)}
       130:{3,5,6,7}:{(97,1),(98,1),(161,1),(162,1),(175,1)}
       131:{1,4,6,7}:{(98,1),(99,1),(113,1),(161,1),(171,1)}
       132:{2,4,6,7}:{(98,1),(100,1),(153,1),(162,1),(173,1)}
       133:{1,2,4,5,7}:{(99,1),(100,1),(101,1),(114,1),(154,1),(163,1),(164,1),(177,1),(203,1),(213,1),(224,1),(226,1)}
       134:{3,5,6}:{(101,1),(164,1),(165,1),(167,1),(211,1)}
       135:{3,4,6}:{(103,1),(166,1),(167,1),(211,1)}
       136:{1,2,3,6,7}:{(102,1),(104,1),(107,1),(168,1),(176,1),(180,1),(202,1),(206,1),(211,1)}
       137:{1,2,4,7}:{(102,1),(103,1),(105,1),(108,1),(166,1),(177,1),(203,1)}
       138:{1,2,4,5}:{(103,1),(106,1),(109,1),(119,1),(159,1),(167,1),(178,1),(204,1)}
       139:{1,4,6,7}:{(104,1),(105,1),(111,1),(170,1),(171,1)}
       140:{1,4,5,7}:{(105,1),(106,1),(112,1),(120,1),(170,1),(171,1)}
       141:{2,4,6,7}:{(107,1),(108,1),(111,1),(172,1),(173,1)}
       142:{2,4,5,7}:{(108,1),(109,1),(112,1),(160,1),(172,1),(173,1)}
       143:{4,6,7}:{(110,1),(174,1),(228,1)}
       144:{3,5,7}:{(111,1),(170,1),(172,1),(174,1),(175,1)}
       145:{3,4,6}:{(112,1),(171,1),(173,1),(175,1),(211,1),(228,1)}
       146:{1,2,6,7}:{(113,1),(114,1),(176,1),(180,1)}
       147:{2,3,5,7}:{(114,1),(115,1),(116,1),(164,1),(176,1),(177,1),(213,1)}
       148:{2,4,6}:{(115,1),(165,1),(177,1),(178,1)}
       149:{2,3,4,7}:{(116,1),(117,1),(118,1),(166,1),(177,1),(179,1)}
       150:{2,3,5}:{(117,1),(119,1),(167,1),(178,1)}
       151:{1,2,5,7}:{(118,1),(119,1),(120,1),(179,1),(180,1)}
       152:{1,3,6}:{(120,1),(171,1),(180,1),(211,1)}
       153:{2,3,6,7}:{(121,1),(132,1),(181,1),(187,1),(189,1)}
       154:{1,2,5,7}:{(121,1),(122,1),(123,1),(181,1),(182,1)}
       155:{1,3,5,6}:{(122,1),(124,1),(134,1),(182,1),(183,1),(185,1),(217,1),(229,1)}
       156:{1,3,7}:{(123,1),(124,1)}
       157:{1,3,4,6}:{(124,1),(125,1),(127,1),(135,1),(183,1),(184,1),(185,1),(217,1)}
       158:{1,2,4,7}:{(126,1),(127,1),(128,1),(184,1),(186,1)}
       159:{1,2,5}:{(127,1),(129,1),(185,1)}
       160:{2,3,5,7}:{(128,1),(129,1),(142,1),(186,1),(187,1),(193,1)}
       161:{1,5,6,7}:{(130,1),(131,1),(196,1)}
       162:{2,5,6,7}:{(130,1),(132,1),(197,1)}
       163:{1,2,4,6,7}:{(131,1),(132,1),(133,1),(146,1),(181,1),(188,1),(189,1),(195,1),(199,1),(215,1),(218,1)}
       164:{3,5,7}:{(133,1),(134,1),(189,1),(190,1)}
       165:{3,4,6}:{(134,1),(148,1),(183,1),(190,1),(191,1)}
       166:{3,4,7}:{(135,1),(137,1),(193,1)}
       167:{3,5}:{(135,1),(138,1)}
       168:{1,2,4,6,7}:{(136,1),(137,1),(139,1),(141,1),(192,1),(194,1),(195,1),(199,1),(215,1)}
       169:{1,2,4,5,7}:{(137,1),(138,1),(140,1),(142,1),(151,1),(186,1),(193,1),(194,1),(195,1),(200,1),(216,1),(221,1)}
       170:{1,5,7}:{(139,1),(144,1),(196,1)}
       171:{1,4,6}:{(140,1),(145,1),(152,1),(196,1)}
       172:{2,5,7}:{(141,1),(144,1),(197,1)}
       173:{2,4,6}:{(142,1),(145,1),(187,1),(197,1)}
       174:{4,5,7}:{(143,1),(144,1),(198,1)}
       175:{3,5,6}:{(144,1),(145,1),(196,1),(197,1),(198,1)}
       176:{2,3,6,7}:{(146,1),(147,1),(189,1),(199,1),(201,1)}
       177:{2,4,7}:{(147,1),(148,1),(190,1)}
       178:{2,4,5}:{(148,1),(150,1),(191,1)}
       179:{2,3,5,7}:{(149,1),(150,1),(151,1),(193,1),(200,1),(201,1)}
       180:{1,2,6}:{(151,1),(152,1),(201,1)}
       181:{1,2,6,7}:{(153,1),(154,1),(202,1),(206,1)}
       182:{1,3,5,7}:{(154,1),(155,1),(156,1),(164,1),(202,1),(203,1),(224,1)}
       183:{1,4,6}:{(155,1),(165,1),(203,1),(204,1)}
       184:{1,3,4,7}:{(156,1),(157,1),(158,1),(166,1),(203,1),(205,1)}
       185:{1,3,5}:{(157,1),(159,1),(167,1),(204,1)}
       186:{1,2,5,7}:{(158,1),(159,1),(160,1),(205,1),(206,1)}
       187:{2,3,6}:{(160,1),(173,1),(206,1),(211,1)}
       188:{1,2,5,6,7}:{(161,1),(162,1),(163,1),(207,1),(212,1),(213,1),(224,1)}
       189:{3,6,7}:{(163,1),(164,1),(211,1)}
       190:{3,4,7}:{(164,1),(165,1),(177,1),(203,1)}
       191:{3,4,5}:{(165,1),(167,1),(178,1),(204,1)}
       192:{3,4,6,7}:{(166,1),(168,1),(210,1),(211,1),(228,1)}
       193:{3,5,7}:{(166,1),(167,1),(169,1),(211,1)}
       194:{1,2,5,7}:{(168,1),(170,1),(172,1),(210,1),(212,1),(213,1),(224,1)}
       195:{1,2,4,6}:{(169,1),(171,1),(173,1),(180,1),(206,1),(211,1),(212,1),(214,1),(225,1),(228,1)}
       196:{1,5,6}:{(170,1),(171,1),(175,1)}
       197:{2,5,6}:{(172,1),(173,1),(175,1)}
       198:{4,5,6}:{(174,1),(175,1),(228,1)}
       199:{2,4,6,7}:{(176,1),(177,1),(208,1),(213,1),(214,1)}
       200:{2,4,5,7}:{(177,1),(178,1),(179,1),(209,1),(213,1),(214,1)}
       201:{2,3,6}:{(179,1),(180,1),(211,1),(214,1)}
       202:{1,3,6,7}:{(181,1),(182,1),(189,1),(215,1),(217,1)}
       203:{1,4,7}:{(182,1),(183,1),(190,1)}
       204:{1,4,5}:{(183,1),(185,1),(191,1)}
       205:{1,3,5,7}:{(184,1),(185,1),(186,1),(193,1),(216,1),(217,1)}
       206:{1,2,6}:{(186,1),(187,1),(217,1)}
       207:{3,5,6,7}:{(188,1),(189,1),(218,1),(219,1),(222,1)}
       208:{3,4,6,7}:{(189,1),(190,1),(199,1),(215,1),(218,1),(219,1),(220,1)}
       209:{3,4,5,7}:{(190,1),(191,1),(193,1),(200,1),(216,1),(219,1),(220,1),(221,1)}
       210:{3,5,7}:{(192,1),(194,1),(221,1),(222,1)}
       211:{3,6}:{(193,1),(195,1)}
       212:{1,2,5,6}:{(194,1),(195,1),(196,1),(197,1),(222,1),(223,1),(229,1)}
       213:{2,5,7}:{(199,1),(219,1),(223,1)}
       214:{2,4,6}:{(200,1),(201,1),(220,1),(223,1)}
       215:{1,4,6,7}:{(202,1),(203,1),(208,1),(224,1),(225,1)}
       216:{1,4,5,7}:{(203,1),(204,1),(205,1),(209,1),(224,1),(225,1)}
       217:{1,3,6}:{(205,1),(206,1),(211,1),(225,1)}
       218:{4,6,7}:{(207,1),(226,1),(228,1)}
       219:{3,5,7}:{(208,1),(213,1),(224,1),(226,1),(227,1)}
       220:{3,4,6}:{(209,1),(211,1),(214,1),(225,1),(227,1),(228,1)}
       221:{4,5,7}:{(210,1),(228,1)}
       222:{3,5,6}:{(210,1),(211,1),(212,1),(228,1)}
       223:{2,5,6}:{(213,1),(214,1),(227,1)}
       224:{1,5,7}:{(215,1),(219,1),(229,1)}
       225:{1,4,6}:{(216,1),(217,1),(220,1),(229,1)}
       226:{4,5,7}:{(218,1),(219,1),(230,1)}
       227:{3,5,6}:{(219,1),(220,1),(223,1),(229,1),(230,1)}
       228:{4,6}:{(221,1),(222,1)}
       229:{1,5,6}:{(224,1),(225,1),(227,1)}
       230:{4,5,6}:{(226,1),(227,1),(228,1)}

1740 :   0:{4,5,6,7}:{(3,1),(61,1),(226,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(6,1),(31,1),(112,1),(176,1),(211,1)}
         2:{2,3,4,5}:{(7,1),(8,1),(68,1),(73,1),(125,1)}
         3:{3,5,6,7}:{(0,1),(10,1),(11,1),(12,1),(221,1)}
         4:{3,4,5,7}:{(1,1),(10,1),(13,1),(14,1),(45,1),(84,1)}
         5:{1,4,5,6}:{(1,1),(13,1),(15,1),(187,1),(216,1)}
         6:{2,4,5,6}:{(1,1),(14,1),(16,1),(155,1),(200,1)}
         7:{2,3,4,6}:{(2,1),(16,1),(18,1),(19,1),(48,1)}
         8:{1,2,4,5}:{(2,1),(19,1),(20,1),(52,1),(91,1),(96,1)}
         9:{1,3,4,5}:{(21,1),(22,1),(68,1),(105,1),(162,1)}
        10:{3,4,6,7}:{(3,1),(4,1),(23,1),(24,1),(60,1),(61,1),(211,1)}
        11:{1,5,6,7}:{(3,1),(23,1),(224,1)}
        12:{2,5,6,7}:{(3,1),(24,1),(214,1)}
        13:{1,4,5,7}:{(4,1),(5,1),(23,1),(26,1)}
        14:{2,4,5,7}:{(4,1),(6,1),(24,1),(27,1)}
        15:{1,3,5,6}:{(5,1),(21,1),(26,1),(29,1),(31,1),(162,1),(204,1)}
        16:{2,3,5,6}:{(6,1),(7,1),(27,1),(30,1),(31,1),(125,1),(180,1)}
        17:{1,2,4,5,6}:{(5,1),(6,1),(28,1),(29,1),(30,1),(31,1),(66,1),(67,1),(112,1),(118,1),(169,1),(170,1),(173,1)}
        18:{2,3,4,7}:{(7,1),(27,1),(32,1),(64,1)}
        19:{1,2,4,6}:{(7,1),(8,1),(30,1),(32,1),(33,1),(67,1)}
        20:{1,3,5}:{(8,1),(33,1),(35,1)}
        21:{1,3,4,6}:{(9,1),(15,1),(36,1),(37,1),(48,1)}
        22:{1,2,4,5}:{(9,1),(37,1),(38,1),(79,1),(90,1),(133,1)}
        23:{1,4,6,7}:{(10,1),(11,1),(13,1),(39,1),(216,1)}
        24:{2,4,6,7}:{(10,1),(12,1),(14,1),(40,1),(200,1)}
        25:{1,2,5,6,7}:{(11,1),(12,1),(41,1),(42,1),(139,1),(140,1),(192,1)}
        26:{1,3,5,7}:{(13,1),(15,1),(36,1),(39,1),(43,1),(45,1)}
        27:{2,3,5,7}:{(14,1),(16,1),(18,1),(40,1),(44,1),(45,1)}
        28:{1,2,4,5,7}:{(13,1),(14,1),(17,1),(41,1),(43,1),(44,1),(45,1),(84,1),(86,1),(87,1),(139,1),(140,1)}
        29:{1,2,5,6}:{(15,1),(37,1),(43,1),(46,1),(133,1),(185,1)}
        30:{1,2,5,6}:{(16,1),(19,1),(44,1),(47,1),(96,1),(153,1)}
        31:{3,5,6}:{(17,1),(45,1),(48,1),(148,1),(196,1)}
        32:{1,2,4,7}:{(18,1),(19,1),(44,1),(49,1),(87,1)}
        33:{1,3,6}:{(19,1),(20,1),(49,1)}
        34:{1,2,3,5}:{(20,1),(50,1),(52,1),(96,1),(98,1)}
        35:{1,3,4}:{(20,1),(52,1)}
        36:{1,3,4,7}:{(21,1),(26,1),(54,1),(64,1)}
        37:{1,2,4,6}:{(21,1),(22,1),(29,1),(54,1),(55,1),(66,1)}
        38:{2,3,5}:{(22,1),(55,1),(57,1)}
        39:{1,3,6,7}:{(23,1),(26,1),(58,1),(60,1),(204,1)}
        40:{2,3,6,7}:{(24,1),(27,1),(59,1),(60,1),(180,1)}
        41:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(28,1),(58,1),(59,1),(60,1),(61,1),(109,1),(110,1),(173,1)}
        42:{3,5,6,7}:{(25,1),(60,1),(61,1),(111,1),(209,1)}
        43:{1,2,5,7}:{(26,1),(29,1),(54,1),(58,1),(62,1)}
        44:{1,2,5,7}:{(27,1),(30,1),(32,1),(59,1),(63,1)}
        45:{3,5,7}:{(28,1),(31,1),(60,1),(64,1)}
        46:{2,3,5,6}:{(29,1),(31,1),(55,1),(62,1),(66,1),(104,1),(161,1),(169,1)}
        47:{1,3,5,6}:{(30,1),(31,1),(33,1),(63,1),(67,1),(72,1),(124,1),(170,1)}
        48:{3,4,6}:{(31,1),(64,1),(66,1),(67,1),(68,1)}
        49:{1,3,7}:{(32,1),(33,1)}
        50:{1,2,3,6}:{(33,1),(34,1),(69,1),(71,1),(128,1)}
        51:{1,3,4,6}:{(33,1),(35,1),(67,1),(70,1),(71,1),(72,1),(117,1),(124,1)}
        52:{1,2,4}:{(34,1),(35,1),(73,1)}
        53:{1,3,4,5}:{(35,1),(72,1),(74,1),(75,1),(176,1)}
        54:{1,2,4,7}:{(36,1),(37,1),(43,1),(76,1),(86,1)}
        55:{2,3,6}:{(37,1),(38,1),(76,1)}
        56:{1,2,3,5}:{(38,1),(77,1),(79,1),(133,1),(135,1)}
        57:{2,3,4}:{(38,1),(79,1)}
        58:{1,2,6,7}:{(39,1),(43,1),(81,1),(185,1)}
        59:{1,2,6,7}:{(40,1),(44,1),(82,1),(153,1)}
        60:{3,6,7}:{(41,1),(45,1),(196,1)}
        61:{4,6,7}:{(42,1),(84,1),(219,1)}
        62:{2,3,5,7}:{(43,1),(45,1),(46,1),(76,1),(81,1),(86,1),(139,1)}
        63:{1,3,5,7}:{(44,1),(45,1),(47,1),(49,1),(82,1),(87,1),(140,1)}
        64:{3,4,7}:{(45,1),(48,1),(86,1),(87,1)}
        65:{1,2,3,5,6}:{(46,1),(47,1),(50,1),(77,1),(85,1),(89,1),(96,1),(133,1),(148,1),(153,1),(156,1),(185,1),(188,1),(192,1),(196,1)}
        66:{2,4,6}:{(46,1),(48,1),(86,1),(90,1)}
        67:{1,4,6}:{(47,1),(48,1),(87,1),(91,1)}
        68:{3,4,5}:{(48,1),(90,1),(91,1),(148,1)}
        69:{1,2,3,7}:{(49,1),(50,1),(93,1),(158,1)}
        70:{1,3,4,7}:{(49,1),(51,1),(87,1),(93,1),(94,1),(143,1)}
        71:{1,2,4,6}:{(50,1),(51,1),(52,1),(93,1),(95,1),(96,1),(153,1)}
        72:{1,3,5}:{(51,1),(91,1),(96,1),(148,1)}
        73:{2,3,4}:{(52,1),(98,1)}
        74:{1,2,4,5}:{(52,1),(53,1),(96,1),(98,1),(99,1),(155,1)}
        75:{1,3,4,6}:{(53,1),(97,1),(99,1),(100,1),(198,1)}
        76:{2,3,7}:{(54,1),(55,1)}
        77:{1,2,3,6}:{(55,1),(56,1),(101,1),(103,1),(165,1)}
        78:{2,3,4,6}:{(55,1),(57,1),(66,1),(102,1),(103,1),(104,1),(117,1),(161,1)}
        79:{1,2,4}:{(56,1),(57,1),(105,1)}
        80:{2,3,4,5}:{(57,1),(104,1),(106,1),(107,1),(176,1)}
        81:{2,3,6,7}:{(58,1),(60,1),(62,1),(109,1),(161,1)}
        82:{1,3,6,7}:{(59,1),(60,1),(63,1),(110,1),(124,1)}
        83:{3,4,6,7}:{(60,1),(61,1),(64,1),(109,1),(110,1),(111,1),(116,1)}
        84:{4,5,7}:{(61,1),(111,1),(112,1)}
        85:{1,2,3,5,7}:{(62,1),(63,1),(65,1),(69,1),(101,1),(108,1),(113,1),(123,1),(160,1),(168,1),(172,1),(183,1),(207,1)}
        86:{2,4,7}:{(62,1),(64,1),(66,1)}
        87:{1,4,7}:{(63,1),(64,1),(67,1)}
        88:{3,4,5,7}:{(64,1),(68,1),(111,1),(114,1),(115,1),(116,1),(172,1),(208,1)}
        89:{1,2,4,6}:{(65,1),(66,1),(67,1),(113,1),(117,1),(118,1),(182,1),(206,1)}
        90:{2,4,5}:{(66,1),(68,1),(104,1)}
        91:{1,4,5}:{(67,1),(68,1),(72,1)}
        92:{3,4,5,6}:{(68,1),(116,1),(119,1),(120,1),(121,1),(177,1),(226,1)}
        93:{1,2,4,7}:{(69,1),(70,1),(71,1),(122,1),(123,1)}
        94:{1,3,5,7}:{(70,1),(72,1),(115,1),(123,1),(124,1),(172,1)}
        95:{2,3,4,6}:{(71,1),(73,1),(117,1),(122,1),(125,1),(128,1),(180,1),(182,1)}
        96:{1,2,5}:{(71,1),(72,1),(125,1)}
        97:{1,3,5,6}:{(72,1),(75,1),(120,1),(124,1),(126,1),(127,1),(177,1)}
        98:{2,3,5}:{(73,1),(74,1),(128,1)}
        99:{1,2,4,6}:{(74,1),(75,1),(126,1),(128,1),(129,1),(182,1)}
       100:{1,3,4,7}:{(75,1),(127,1),(129,1),(213,1)}
       101:{1,2,3,7}:{(76,1),(77,1),(130,1),(190,1)}
       102:{2,3,4,7}:{(76,1),(78,1),(86,1),(130,1),(131,1),(143,1)}
       103:{1,2,4,6}:{(77,1),(78,1),(79,1),(130,1),(132,1),(133,1),(185,1)}
       104:{2,3,5}:{(78,1),(90,1),(133,1),(148,1)}
       105:{1,3,4}:{(79,1),(135,1)}
       106:{1,2,4,5}:{(79,1),(80,1),(133,1),(135,1),(136,1),(187,1)}
       107:{2,3,4,6}:{(80,1),(134,1),(136,1),(137,1),(198,1)}
       108:{1,2,3,6,7}:{(81,1),(82,1),(85,1),(138,1),(153,1),(185,1),(196,1),(201,1),(217,1)}
       109:{2,4,6,7}:{(81,1),(83,1),(86,1),(139,1),(145,1)}
       110:{1,4,6,7}:{(82,1),(83,1),(87,1),(140,1),(146,1)}
       111:{3,5,7}:{(83,1),(84,1),(139,1),(140,1),(141,1)}
       112:{4,5,6}:{(84,1),(141,1),(219,1)}
       113:{1,2,4,7}:{(85,1),(86,1),(87,1),(89,1),(143,1),(202,1),(218,1)}
       114:{2,4,5,7}:{(86,1),(88,1),(90,1),(131,1),(139,1),(145,1)}
       115:{1,4,5,7}:{(87,1),(88,1),(91,1),(94,1),(140,1),(146,1)}
       116:{3,4,6}:{(88,1),(141,1),(145,1),(146,1),(196,1),(219,1)}
       117:{3,4,6}:{(89,1),(143,1),(148,1),(196,1)}
       118:{1,2,4,5}:{(89,1),(90,1),(91,1),(96,1),(133,1),(148,1),(155,1),(187,1)}
       119:{2,4,5,6}:{(90,1),(92,1),(134,1),(145,1),(150,1)}
       120:{1,4,5,6}:{(91,1),(92,1),(97,1),(146,1),(151,1)}
       121:{3,4,5,7}:{(92,1),(147,1),(150,1),(151,1),(199,1),(230,1)}
       122:{2,3,4,7}:{(93,1),(95,1),(143,1),(152,1),(158,1),(202,1)}
       123:{1,2,5,7}:{(93,1),(94,1),(96,1),(152,1),(153,1)}
       124:{1,3,6}:{(94,1),(146,1),(153,1),(196,1)}
       125:{2,3,5}:{(95,1),(96,1),(148,1),(155,1)}
       126:{1,2,5,6}:{(96,1),(97,1),(99,1),(153,1),(156,1),(157,1)}
       127:{1,3,5,7}:{(97,1),(100,1),(151,1),(154,1),(157,1),(199,1)}
       128:{2,3,6}:{(98,1),(99,1),(158,1)}
       129:{1,2,4,7}:{(99,1),(100,1),(157,1),(158,1),(202,1)}
       130:{1,2,4,7}:{(101,1),(102,1),(103,1),(159,1),(160,1)}
       131:{2,3,5,7}:{(102,1),(104,1),(114,1),(160,1),(161,1),(172,1)}
       132:{1,3,4,6}:{(103,1),(105,1),(117,1),(159,1),(162,1),(165,1),(204,1),(206,1)}
       133:{1,2,5}:{(103,1),(104,1),(162,1)}
       134:{2,3,5,6}:{(104,1),(107,1),(119,1),(161,1),(163,1),(164,1),(177,1)}
       135:{1,3,5}:{(105,1),(106,1),(165,1)}
       136:{1,2,4,6}:{(106,1),(107,1),(163,1),(165,1),(166,1),(206,1)}
       137:{2,3,4,7}:{(107,1),(164,1),(166,1),(213,1)}
       138:{1,2,4,6,7}:{(108,1),(109,1),(110,1),(113,1),(167,1),(168,1),(173,1),(215,1),(225,1)}
       139:{2,5,7}:{(109,1),(111,1),(169,1)}
       140:{1,5,7}:{(110,1),(111,1),(170,1)}
       141:{3,5,6}:{(111,1),(112,1),(116,1),(169,1),(170,1)}
       142:{4,5,6,7}:{(112,1),(171,1),(227,1)}
       143:{3,4,7}:{(113,1),(117,1),(172,1)}
       144:{1,2,4,5,7}:{(113,1),(114,1),(115,1),(118,1),(123,1),(160,1),(168,1),(172,1),(173,1),(179,1),(203,1),(208,1)}
       145:{2,4,6}:{(114,1),(116,1),(161,1),(169,1)}
       146:{1,4,6}:{(115,1),(116,1),(124,1),(170,1)}
       147:{3,4,6,7}:{(116,1),(121,1),(171,1),(174,1),(175,1),(212,1),(227,1)}
       148:{3,5}:{(117,1),(118,1)}
       149:{1,2,4,5,6}:{(118,1),(119,1),(120,1),(126,1),(163,1),(173,1),(177,1),(178,1),(182,1),(206,1),(214,1),(224,1),(226,1)}
       150:{2,4,5,7}:{(119,1),(121,1),(164,1),(174,1)}
       151:{1,4,5,7}:{(120,1),(121,1),(127,1),(175,1)}
       152:{2,3,5,7}:{(122,1),(123,1),(125,1),(172,1),(179,1),(180,1)}
       153:{1,2,6}:{(123,1),(124,1),(180,1)}
       154:{1,3,6,7}:{(124,1),(127,1),(175,1),(181,1),(212,1)}
       155:{2,4,5}:{(125,1),(176,1),(182,1)}
       156:{2,3,5,6}:{(125,1),(126,1),(128,1),(177,1),(180,1),(182,1),(183,1),(214,1)}
       157:{1,2,5,7}:{(126,1),(127,1),(129,1),(181,1),(183,1)}
       158:{2,3,7}:{(128,1),(129,1)}
       159:{1,3,4,7}:{(130,1),(132,1),(143,1),(184,1),(190,1),(218,1)}
       160:{1,2,5,7}:{(130,1),(131,1),(133,1),(184,1),(185,1)}
       161:{2,3,6}:{(131,1),(145,1),(185,1),(196,1)}
       162:{1,3,5}:{(132,1),(133,1),(148,1),(187,1)}
       163:{1,2,5,6}:{(133,1),(134,1),(136,1),(185,1),(188,1),(189,1)}
       164:{2,3,5,7}:{(134,1),(137,1),(150,1),(186,1),(189,1),(199,1)}
       165:{1,3,6}:{(135,1),(136,1),(190,1)}
       166:{1,2,4,7}:{(136,1),(137,1),(189,1),(190,1),(218,1)}
       167:{3,4,6,7}:{(138,1),(143,1),(191,1),(196,1),(219,1)}
       168:{1,2,5,7}:{(138,1),(139,1),(140,1),(191,1),(192,1),(223,1),(229,1)}
       169:{2,5,6}:{(139,1),(141,1),(145,1)}
       170:{1,5,6}:{(140,1),(141,1),(146,1)}
       171:{3,5,6,7}:{(141,1),(142,1),(147,1),(193,1),(194,1)}
       172:{3,5,7}:{(143,1),(144,1),(148,1),(196,1)}
       173:{1,2,4,6}:{(144,1),(145,1),(146,1),(153,1),(185,1),(192,1),(196,1),(200,1),(216,1),(219,1)}
       174:{2,4,6,7}:{(145,1),(147,1),(150,1),(186,1),(193,1)}
       175:{1,4,6,7}:{(146,1),(147,1),(151,1),(154,1),(194,1)}
       176:{3,4,5}:{(148,1),(155,1),(187,1),(198,1)}
       177:{3,5,6}:{(148,1),(149,1),(196,1),(198,1),(199,1)}
       178:{1,2,4,5,7}:{(149,1),(150,1),(151,1),(157,1),(189,1),(197,1),(199,1),(202,1),(218,1),(223,1),(229,1),(230,1)}
       179:{2,4,5,7}:{(152,1),(155,1),(195,1),(200,1),(202,1),(223,1)}
       180:{2,3,6}:{(152,1),(153,1),(196,1),(200,1)}
       181:{1,2,6,7}:{(153,1),(154,1),(157,1),(201,1)}
       182:{2,4,6}:{(155,1),(156,1),(198,1),(202,1)}
       183:{2,3,5,7}:{(156,1),(157,1),(158,1),(199,1),(201,1),(202,1),(223,1)}
       184:{1,3,5,7}:{(159,1),(160,1),(162,1),(172,1),(203,1),(204,1)}
       185:{1,2,6}:{(160,1),(161,1),(204,1)}
       186:{2,3,6,7}:{(161,1),(164,1),(174,1),(205,1),(212,1)}
       187:{1,4,5}:{(162,1),(176,1),(206,1)}
       188:{1,3,5,6}:{(162,1),(163,1),(165,1),(177,1),(204,1),(206,1),(207,1),(224,1)}
       189:{1,2,5,7}:{(163,1),(164,1),(166,1),(205,1),(207,1)}
       190:{1,3,7}:{(165,1),(166,1)}
       191:{3,5,7}:{(167,1),(168,1),(208,1),(209,1)}
       192:{1,2,5,6}:{(168,1),(169,1),(170,1),(173,1),(209,1),(214,1),(224,1)}
       193:{2,5,6,7}:{(169,1),(171,1),(174,1)}
       194:{1,5,6,7}:{(170,1),(171,1),(175,1)}
       195:{3,4,5,7}:{(172,1),(176,1),(179,1),(203,1),(208,1),(211,1),(213,1),(228,1)}
       196:{3,6}:{(172,1),(173,1)}
       197:{1,2,4,6,7}:{(173,1),(174,1),(175,1),(178,1),(181,1),(205,1),(210,1),(212,1),(215,1),(225,1),(227,1)}
       198:{3,4,6}:{(176,1),(177,1),(182,1),(206,1),(213,1)}
       199:{3,5,7}:{(177,1),(178,1),(212,1),(213,1)}
       200:{2,4,6}:{(179,1),(180,1),(211,1),(214,1)}
       201:{2,3,6,7}:{(180,1),(181,1),(183,1),(212,1),(215,1)}
       202:{2,4,7}:{(182,1),(183,1),(213,1)}
       203:{1,4,5,7}:{(184,1),(187,1),(195,1),(216,1),(218,1),(229,1)}
       204:{1,3,6}:{(184,1),(185,1),(196,1),(216,1)}
       205:{1,2,6,7}:{(185,1),(186,1),(189,1),(217,1)}
       206:{1,4,6}:{(187,1),(188,1),(198,1),(218,1)}
       207:{1,3,5,7}:{(188,1),(189,1),(190,1),(199,1),(217,1),(218,1),(229,1)}
       208:{4,5,7}:{(191,1),(219,1)}
       209:{3,5,6}:{(191,1),(192,1),(196,1),(219,1)}
       210:{1,2,5,6,7}:{(192,1),(193,1),(194,1),(197,1),(220,1),(223,1),(229,1)}
       211:{3,4,6}:{(195,1),(196,1),(200,1),(216,1),(219,1),(221,1)}
       212:{3,6,7}:{(196,1),(197,1),(199,1)}
       213:{3,4,7}:{(198,1),(199,1),(202,1),(218,1)}
       214:{2,5,6}:{(200,1),(221,1),(223,1)}
       215:{2,4,6,7}:{(200,1),(201,1),(202,1),(222,1),(223,1)}
       216:{1,4,6}:{(203,1),(204,1),(211,1),(224,1)}
       217:{1,3,6,7}:{(204,1),(205,1),(207,1),(212,1),(225,1)}
       218:{1,4,7}:{(206,1),(207,1),(213,1)}
       219:{4,6}:{(208,1),(209,1)}
       220:{3,5,6,7}:{(209,1),(210,1),(212,1),(227,1),(228,1)}
       221:{3,5,6}:{(211,1),(214,1),(224,1),(226,1),(228,1)}
       222:{3,4,6,7}:{(211,1),(212,1),(213,1),(215,1),(225,1),(227,1),(228,1)}
       223:{2,5,7}:{(214,1),(215,1),(228,1)}
       224:{1,5,6}:{(216,1),(221,1),(229,1)}
       225:{1,4,6,7}:{(216,1),(217,1),(218,1),(222,1),(229,1)}
       226:{4,5,6}:{(219,1),(221,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{3,5,7}:{(221,1),(222,1),(223,1),(229,1),(230,1)}
       229:{1,5,7}:{(224,1),(225,1),(228,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

1741 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(78,1),(79,1),(80,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(13,1),(14,1),(17,1),(41,1),(47,1),(48,1),(49,1),(78,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(21,1),(24,1),(58,1),(68,1),(69,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(93,1),(94,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(64,1),(65,1)}
         5:{3,4,6,7}:{(3,1),(10,1),(11,1),(36,1),(41,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(11,1),(83,1),(84,1)}
         7:{1,2,5,7}:{(3,1),(10,1),(13,1),(100,1),(101,1)}
         8:{3,4,6}:{(4,1),(11,1),(17,1),(41,1)}
         9:{1,2,4,5}:{(4,1),(17,1),(44,1),(45,1),(47,1)}
        10:{3,5,7}:{(5,1),(7,1),(19,1),(20,1)}
        11:{3,4,7}:{(6,1),(8,1),(24,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(19,1),(24,1),(25,1),(54,1),(55,1),(58,1)}
        13:{1,2,5,6}:{(7,1),(20,1),(25,1),(88,1),(89,1)}
        14:{1,2,3,6}:{(21,1),(27,1),(29,1),(96,1)}
        15:{2,3,4,6}:{(8,1),(22,1),(29,1),(30,1),(59,1),(62,1),(64,1),(86,1),(96,1)}
        16:{1,3,4,6}:{(8,1),(23,1),(29,1),(31,1),(60,1),(62,1),(65,1),(86,1),(96,1)}
        17:{3,5}:{(8,1),(9,1)}
        18:{1,2,4,5,6}:{(9,1),(25,1),(32,1),(33,1),(52,1),(64,1),(65,1),(67,1),(88,1),(89,1)}
        19:{4,5,7}:{(10,1),(36,1)}
        20:{3,5,6}:{(10,1),(13,1),(36,1),(41,1)}
        21:{1,2,3,7}:{(14,1),(38,1),(104,1)}
        22:{2,3,4,7}:{(11,1),(15,1),(38,1),(39,1),(73,1),(83,1),(104,1)}
        23:{1,3,4,7}:{(11,1),(16,1),(38,1),(40,1),(73,1),(84,1),(104,1)}
        24:{3,5,7}:{(11,1),(12,1),(17,1),(41,1)}
        25:{1,2,4,6}:{(12,1),(13,1),(36,1),(41,1),(75,1),(76,1),(78,1)}
        26:{1,2,5,6,7}:{(13,1),(37,1),(42,1),(100,1),(101,1)}
        27:{1,2,3,5}:{(14,1),(43,1),(47,1),(81,1)}
        28:{3,4,5}:{(17,1),(44,1),(45,1),(46,1),(81,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(16,1),(38,1),(43,1),(47,1),(78,1)}
        30:{2,3,5}:{(15,1),(17,1),(44,1),(47,1),(81,1),(98,1)}
        31:{1,3,5}:{(16,1),(17,1),(45,1),(47,1),(81,1),(98,1)}
        32:{3,5,6}:{(17,1),(18,1),(41,1),(46,1),(50,1)}
        33:{1,2,4,5,7}:{(18,1),(42,1),(50,1),(72,1),(83,1),(84,1),(85,1),(100,1),(101,1)}
        34:{1,2,3,5,7}:{(21,1),(27,1),(51,1),(53,1),(58,1),(87,1),(91,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(28,1),(54,1),(55,1),(56,1),(66,1),(90,1),(91,1),(105,1),(111,1)}
        36:{4,6}:{(19,1),(20,1)}
        37:{3,5,6,7}:{(20,1),(26,1),(57,1),(61,1),(90,1)}
        38:{1,2,4,7}:{(21,1),(22,1),(23,1),(29,1),(58,1)}
        39:{2,3,5,7}:{(22,1),(24,1),(30,1),(54,1),(58,1),(59,1),(91,1)}
        40:{1,3,5,7}:{(23,1),(24,1),(31,1),(55,1),(58,1),(60,1),(91,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,2,4,6,7}:{(25,1),(26,1),(33,1),(57,1),(61,1),(93,1),(94,1),(95,1)}
        43:{1,2,4}:{(27,1),(62,1)}
        44:{2,4,5}:{(28,1),(30,1),(64,1),(105,1)}
        45:{1,4,5}:{(28,1),(31,1),(65,1),(105,1)}
        46:{3,4,6}:{(28,1),(32,1),(64,1),(65,1),(66,1),(96,1)}
        47:{1,2,5}:{(29,1),(30,1),(31,1)}
        48:{2,3,5,6}:{(30,1),(32,1),(59,1),(64,1),(67,1),(68,1),(88,1),(96,1),(106,1)}
        49:{1,3,5,6}:{(31,1),(32,1),(60,1),(65,1),(67,1),(69,1),(89,1),(96,1),(106,1)}
        50:{3,5,7}:{(32,1),(33,1),(61,1),(66,1)}
        51:{1,2,3,6}:{(34,1),(70,1),(78,1),(102,1)}
        52:{4,5,6}:{(36,1),(71,1),(72,1),(109,1)}
        53:{1,2,4,7}:{(34,1),(43,1),(70,1),(73,1)}
        54:{2,4,5,7}:{(35,1),(39,1),(44,1),(75,1),(83,1),(100,1)}
        55:{1,4,5,7}:{(35,1),(40,1),(45,1),(76,1),(84,1),(101,1)}
        56:{3,4,6}:{(35,1),(36,1),(41,1),(71,1),(75,1),(76,1),(102,1),(109,1)}
        57:{4,6,7}:{(36,1),(37,1),(72,1)}
        58:{1,2,5,7}:{(38,1),(39,1),(40,1),(47,1),(78,1)}
        59:{2,3,6}:{(39,1),(41,1),(75,1),(78,1),(102,1)}
        60:{1,3,6}:{(40,1),(41,1),(76,1),(78,1),(102,1)}
        61:{3,6,7}:{(41,1),(42,1),(50,1)}
        62:{3,4}:{(43,1),(81,1)}
        63:{1,2,4,5}:{(43,1),(44,1),(45,1),(47,1),(81,1),(82,1)}
        64:{2,4,6}:{(44,1),(46,1),(48,1),(83,1),(109,1)}
        65:{1,4,6}:{(45,1),(46,1),(49,1),(84,1),(109,1)}
        66:{3,4,7}:{(46,1),(50,1),(83,1),(84,1),(104,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(49,1),(78,1),(82,1),(85,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(79,1),(83,1),(85,1),(100,1),(104,1),(110,1)}
        69:{1,3,5,7}:{(49,1),(50,1),(80,1),(84,1),(85,1),(101,1),(104,1),(110,1)}
        70:{1,2,4,6}:{(51,1),(53,1),(86,1),(87,1)}
        71:{3,5,6}:{(52,1),(56,1),(88,1),(89,1),(90,1)}
        72:{4,5,7}:{(52,1),(57,1),(90,1),(111,1)}
        73:{3,4,7}:{(53,1),(62,1),(86,1),(91,1),(111,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(58,1),(63,1),(87,1),(91,1),(92,1),(97,1),(105,1),(107,1),(111,1)}
        75:{2,4,6}:{(54,1),(56,1),(59,1),(88,1)}
        76:{1,4,6}:{(55,1),(56,1),(60,1),(89,1)}
        77:{3,4,6,7}:{(56,1),(57,1),(61,1),(66,1),(90,1),(93,1),(94,1),(108,1),(111,1)}
        78:{1,2,6}:{(58,1),(59,1),(60,1)}
        79:{2,3,6,7}:{(59,1),(61,1),(68,1),(93,1),(95,1),(108,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(69,1),(94,1),(95,1),(108,1)}
        81:{3,5}:{(62,1),(63,1),(96,1)}
        82:{1,2,4,6}:{(63,1),(64,1),(65,1),(67,1),(96,1),(97,1)}
        83:{2,4,7}:{(64,1),(66,1),(68,1),(111,1)}
        84:{1,4,7}:{(65,1),(66,1),(69,1),(111,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(95,1),(97,1)}
        86:{3,4,6}:{(70,1),(73,1),(98,1),(102,1),(109,1)}
        87:{1,2,5}:{(70,1),(98,1)}
        88:{2,5,6}:{(71,1),(75,1),(100,1)}
        89:{1,5,6}:{(71,1),(76,1),(101,1)}
        90:{3,5,7}:{(71,1),(72,1),(77,1),(100,1),(101,1)}
        91:{3,5,7}:{(73,1),(74,1),(81,1),(98,1),(102,1),(104,1)}
        92:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(99,1),(102,1),(109,1)}
        93:{2,4,6,7}:{(75,1),(77,1),(79,1),(83,1),(100,1)}
        94:{1,4,6,7}:{(76,1),(77,1),(80,1),(84,1),(101,1)}
        95:{1,2,6,7}:{(78,1),(79,1),(80,1),(85,1)}
        96:{3,6}:{(81,1),(82,1),(104,1)}
        97:{1,2,4,7}:{(82,1),(83,1),(84,1),(85,1),(104,1)}
        98:{3,5}:{(86,1),(87,1),(105,1)}
        99:{1,2,5,6}:{(87,1),(88,1),(89,1),(92,1),(106,1),(107,1)}
       100:{2,5,7}:{(88,1),(90,1),(93,1)}
       101:{1,5,7}:{(89,1),(90,1),(94,1)}
       102:{3,6}:{(91,1),(92,1)}
       103:{1,2,4,6,7}:{(92,1),(93,1),(94,1),(95,1),(97,1),(107,1),(108,1),(111,1)}
       104:{3,7}:{(96,1),(97,1)}
       105:{4,5}:{(98,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(102,1),(109,1),(110,1)}
       107:{1,2,5,7}:{(99,1),(100,1),(101,1),(103,1),(110,1)}
       108:{3,6,7}:{(102,1),(103,1),(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1742 :   0:{2,3,4,5,7}:{(1,1),(2,1),(15,1),(54,1),(114,1),(127,1),(131,1),(167,1),(174,1),(179,1)}
         1:{2,3,4,6}:{(0,1),(7,1),(8,1),(99,1),(188,1),(193,1),(195,1)}
         2:{1,2,4,5,7}:{(0,1),(8,1),(9,1),(32,1),(37,1),(91,1),(96,1),(100,1)}
         3:{2,4,5,6,7}:{(10,1),(44,1),(199,1)}
         4:{1,3,4,5,7}:{(11,1),(12,1),(21,1),(48,1),(69,1),(128,1),(166,1),(170,1),(174,1),(200,1)}
         5:{2,3,4,6,7}:{(1,1),(15,1),(16,1),(44,1),(102,1),(127,1),(159,1)}
         6:{3,4,5,6}:{(14,1),(17,1),(18,1),(67,1),(170,1),(201,1)}
         7:{2,3,5,6}:{(1,1),(15,1),(18,1),(19,1),(67,1),(114,1),(196,1)}
         8:{1,2,4,6}:{(1,1),(2,1),(19,1),(20,1),(68,1)}
         9:{1,3,5,7}:{(2,1),(20,1),(21,1),(69,1),(174,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(23,1),(206,1)}
        11:{1,3,4,6}:{(4,1),(28,1),(29,1),(143,1),(157,1),(193,1),(207,1)}
        12:{1,2,4,5,7}:{(4,1),(29,1),(30,1),(32,1),(78,1),(91,1),(140,1),(144,1)}
        13:{1,2,3,5,7}:{(9,1),(30,1),(31,1),(32,1),(91,1)}
        14:{3,4,5,7}:{(6,1),(22,1),(35,1),(36,1),(95,1)}
        15:{2,3,5,7}:{(5,1),(7,1),(36,1),(37,1),(95,1),(181,1)}
        16:{1,2,4,6,7}:{(5,1),(8,1),(37,1),(38,1),(96,1)}
        17:{1,4,5,6}:{(6,1),(35,1),(39,1),(189,1),(207,1)}
        18:{2,4,5,6}:{(6,1),(7,1),(36,1),(144,1),(188,1)}
        19:{1,2,5,6}:{(7,1),(8,1),(37,1),(41,1),(91,1)}
        20:{1,3,6}:{(8,1),(9,1),(193,1)}
        21:{1,3,4,7}:{(9,1),(32,1),(42,1),(96,1),(147,1)}
        22:{3,4,6,7}:{(10,1),(14,1),(43,1),(44,1),(102,1),(201,1)}
        23:{1,5,6,7}:{(10,1),(43,1),(209,1)}
        24:{2,3,5,6,7}:{(10,1),(15,1),(44,1),(45,1),(102,1),(168,1)}
        25:{1,4,5,6,7}:{(46,1),(104,1),(161,1)}
        26:{1,3,4,6,7}:{(11,1),(48,1),(49,1),(104,1),(163,1),(166,1),(197,1)}
        27:{3,4,5,6}:{(47,1),(50,1),(51,1),(112,1),(131,1),(180,1)}
        28:{1,3,5,6}:{(11,1),(48,1),(50,1),(52,1),(69,1),(112,1),(209,1)}
        29:{1,2,4,6}:{(11,1),(12,1),(52,1),(53,1),(113,1)}
        30:{2,3,5,7}:{(12,1),(53,1),(54,1),(114,1),(174,1)}
        31:{1,2,3,6}:{(13,1),(20,1),(53,1),(59,1)}
        32:{1,2,4,7}:{(13,1),(21,1),(54,1),(59,1)}
        33:{1,3,4,5}:{(56,1),(60,1),(125,1),(131,1),(178,1)}
        34:{2,3,4,5}:{(57,1),(61,1),(124,1),(170,1),(177,1)}
        35:{1,4,5,7}:{(14,1),(17,1),(43,1),(62,1)}
        36:{2,4,5,7}:{(14,1),(15,1),(18,1),(44,1)}
        37:{1,2,5,7}:{(15,1),(16,1),(19,1),(64,1)}
        38:{1,3,6,7}:{(16,1),(20,1),(64,1),(102,1)}
        39:{1,3,5,6}:{(17,1),(56,1),(62,1),(66,1),(67,1),(178,1),(204,1)}
        40:{1,2,4,5,6}:{(17,1),(18,1),(19,1),(63,1),(66,1),(67,1),(68,1),(122,1),(130,1),(161,1),(175,1),(196,1)}
        41:{1,3,5,6}:{(19,1),(20,1),(64,1),(67,1),(68,1),(69,1)}
        42:{1,3,4,6}:{(20,1),(21,1),(59,1),(68,1),(69,1),(121,1)}
        43:{1,4,6,7}:{(22,1),(23,1),(35,1),(70,1),(207,1)}
        44:{2,4,6,7}:{(22,1),(24,1),(36,1),(188,1)}
        45:{1,2,5,6,7}:{(23,1),(24,1),(37,1),(71,1),(72,1),(149,1),(181,1)}
        46:{3,5,6,7}:{(25,1),(73,1),(75,1),(182,1)}
        47:{3,4,5,7}:{(27,1),(73,1),(76,1),(77,1),(139,1)}
        48:{1,3,5,7}:{(26,1),(28,1),(76,1),(78,1),(139,1),(205,1)}
        49:{1,2,4,6,7}:{(26,1),(29,1),(78,1),(79,1),(140,1)}
        50:{1,4,5,6}:{(27,1),(28,1),(76,1),(100,1),(157,1)}
        51:{2,4,5,6}:{(27,1),(77,1),(80,1),(158,1),(195,1)}
        52:{1,2,5,6}:{(28,1),(29,1),(78,1),(82,1),(91,1)}
        53:{2,3,6}:{(29,1),(30,1),(193,1)}
        54:{2,3,4,7}:{(30,1),(32,1),(83,1),(140,1),(147,1)}
        55:{1,2,3,6,7}:{(31,1),(38,1),(79,1),(86,1),(87,1),(132,1),(183,1),(193,1),(208,1)}
        56:{1,3,4,6}:{(33,1),(39,1),(84,1),(88,1),(99,1)}
        57:{2,3,4,6}:{(34,1),(80,1),(85,1),(89,1),(143,1)}
        58:{1,2,3,5,6}:{(31,1),(41,1),(82,1),(86,1),(90,1),(91,1),(98,1),(142,1),(149,1),(150,1),(153,1),(193,1),(194,1),(208,1)}
        59:{1,2,4,6}:{(31,1),(32,1),(42,1),(83,1),(91,1)}
        60:{1,2,4,5}:{(33,1),(88,1),(92,1),(154,1),(158,1),(194,1)}
        61:{1,2,4,5}:{(34,1),(89,1),(93,1),(154,1),(189,1),(194,1)}
        62:{1,3,5,7}:{(35,1),(39,1),(70,1),(84,1),(94,1),(95,1)}
        63:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(40,1),(71,1),(94,1),(95,1),(96,1),(134,1),(155,1),(181,1)}
        64:{1,3,5,7}:{(37,1),(38,1),(41,1),(95,1),(96,1)}
        65:{1,3,4,6,7}:{(38,1),(42,1),(87,1),(96,1),(97,1),(133,1),(147,1),(157,1),(193,1)}
        66:{1,2,5,6}:{(39,1),(88,1),(94,1),(98,1),(194,1),(208,1)}
        67:{3,5,6}:{(40,1),(95,1),(99,1),(153,1),(193,1)}
        68:{1,4,6}:{(41,1),(96,1),(99,1),(100,1)}
        69:{1,3,5}:{(42,1),(91,1),(100,1),(153,1)}
        70:{1,3,6,7}:{(43,1),(62,1),(101,1),(102,1),(204,1)}
        71:{1,2,4,6,7}:{(43,1),(44,1),(45,1),(63,1),(101,1),(102,1),(103,1),(159,1),(175,1)}
        72:{1,3,5,6,7}:{(45,1),(64,1),(102,1),(103,1),(129,1),(160,1)}
        73:{3,4,6,7}:{(46,1),(47,1),(104,1),(105,1),(163,1),(180,1)}
        74:{1,3,5,6,7}:{(46,1),(48,1),(104,1),(106,1),(129,1),(163,1)}
        75:{2,5,6,7}:{(46,1),(105,1),(196,1)}
        76:{1,4,5,7}:{(47,1),(48,1),(50,1),(104,1)}
        77:{2,4,5,7}:{(47,1),(51,1),(105,1),(107,1)}
        78:{1,2,5,7}:{(48,1),(49,1),(52,1),(109,1)}
        79:{2,3,6,7}:{(49,1),(53,1),(109,1),(163,1)}
        80:{2,3,5,6}:{(51,1),(57,1),(107,1),(111,1),(112,1),(177,1),(203,1)}
        81:{1,2,4,5,6}:{(50,1),(51,1),(52,1),(108,1),(111,1),(112,1),(113,1),(122,1),(169,1),(175,1),(199,1),(209,1)}
        82:{2,3,5,6}:{(52,1),(53,1),(109,1),(112,1),(113,1),(114,1)}
        83:{2,3,4,6}:{(53,1),(54,1),(59,1),(113,1),(114,1),(121,1)}
        84:{1,3,4,7}:{(56,1),(62,1),(115,1),(127,1)}
        85:{2,3,4,7}:{(57,1),(107,1),(116,1),(166,1)}
        86:{1,2,3,5,7}:{(55,1),(58,1),(64,1),(109,1),(117,1),(118,1),(126,1),(165,1),(171,1),(174,1),(202,1)}
        87:{1,2,4,6,7}:{(55,1),(59,1),(65,1),(110,1),(117,1),(118,1),(159,1),(175,1),(197,1)}
        88:{1,2,4,6}:{(56,1),(60,1),(66,1),(115,1),(119,1),(130,1)}
        89:{1,2,4,6}:{(57,1),(61,1),(111,1),(116,1),(120,1),(169,1)}
        90:{1,2,4,6}:{(58,1),(68,1),(113,1),(117,1),(121,1),(122,1),(130,1),(169,1)}
        91:{1,2,5}:{(59,1),(69,1),(114,1)}
        92:{2,3,5}:{(60,1),(119,1),(124,1)}
        93:{1,3,5}:{(61,1),(120,1),(125,1)}
        94:{1,2,5,7}:{(62,1),(66,1),(101,1),(115,1),(126,1)}
        95:{3,5,7}:{(63,1),(67,1),(102,1),(127,1)}
        96:{1,4,7}:{(64,1),(68,1),(127,1)}
        97:{1,3,5,7}:{(65,1),(69,1),(118,1),(128,1),(129,1),(160,1),(174,1)}
        98:{2,3,5,6}:{(66,1),(67,1),(119,1),(126,1),(130,1),(177,1),(196,1),(203,1)}
        99:{3,4,6}:{(67,1),(68,1),(127,1),(130,1),(131,1)}
       100:{1,4,5}:{(68,1),(69,1),(131,1)}
       101:{1,2,6,7}:{(70,1),(94,1),(132,1),(208,1)}
       102:{3,6,7}:{(71,1),(95,1),(193,1)}
       103:{1,4,6,7}:{(72,1),(96,1),(133,1),(134,1),(157,1)}
       104:{1,4,6,7}:{(73,1),(74,1),(76,1),(157,1)}
       105:{2,4,6,7}:{(73,1),(75,1),(77,1),(135,1),(195,1)}
       106:{1,2,5,6,7}:{(74,1),(75,1),(78,1),(136,1),(137,1),(149,1),(205,1)}
       107:{2,3,5,7}:{(77,1),(80,1),(85,1),(135,1),(138,1),(139,1)}
       108:{1,2,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(136,1),(138,1),(139,1),(140,1),(185,1),(186,1),(205,1)}
       109:{2,3,5,7}:{(78,1),(79,1),(82,1),(139,1),(140,1)}
       110:{2,3,4,6,7}:{(79,1),(83,1),(87,1),(140,1),(141,1),(147,1),(184,1),(188,1),(193,1)}
       111:{1,2,5,6}:{(80,1),(89,1),(138,1),(142,1),(194,1),(208,1)}
       112:{3,5,6}:{(81,1),(139,1),(143,1),(153,1),(193,1)}
       113:{2,4,6}:{(82,1),(140,1),(143,1),(144,1)}
       114:{2,3,5}:{(83,1),(91,1),(144,1),(153,1)}
       115:{1,2,4,7}:{(84,1),(88,1),(94,1),(145,1),(155,1)}
       116:{1,2,4,7}:{(85,1),(89,1),(138,1),(146,1),(186,1)}
       117:{1,2,4,7}:{(86,1),(90,1),(96,1),(140,1),(147,1),(155,1),(186,1)}
       118:{1,2,5,7}:{(87,1),(91,1),(97,1),(141,1),(149,1),(181,1),(205,1)}
       119:{2,3,6}:{(88,1),(92,1),(145,1)}
       120:{1,3,6}:{(89,1),(93,1),(146,1)}
       121:{3,4,6}:{(90,1),(147,1),(153,1),(193,1)}
       122:{1,2,4,5}:{(90,1),(91,1),(100,1),(144,1),(153,1),(158,1),(189,1),(194,1)}
       123:{1,2,3,5}:{(92,1),(93,1),(150,1),(154,1),(194,1)}
       124:{2,3,4}:{(92,1),(154,1)}
       125:{1,3,4}:{(93,1),(154,1)}
       126:{2,3,5,7}:{(94,1),(95,1),(98,1),(132,1),(145,1),(155,1),(181,1)}
       127:{3,4,7}:{(95,1),(96,1),(99,1),(155,1)}
       128:{1,4,5,7}:{(96,1),(97,1),(100,1),(156,1),(157,1)}
       129:{1,3,5,6}:{(97,1),(149,1),(157,1),(182,1),(193,1)}
       130:{2,4,6}:{(98,1),(99,1),(155,1),(158,1)}
       131:{3,4,5}:{(99,1),(100,1),(153,1),(158,1)}
       132:{2,3,6,7}:{(101,1),(102,1),(126,1),(159,1),(203,1)}
       133:{3,4,6,7}:{(102,1),(103,1),(127,1),(159,1),(160,1),(180,1)}
       134:{1,4,5,7}:{(103,1),(160,1),(161,1)}
       135:{2,3,6,7}:{(105,1),(107,1),(162,1),(163,1),(203,1)}
       136:{1,2,4,6,7}:{(104,1),(105,1),(106,1),(108,1),(162,1),(163,1),(164,1),(175,1),(197,1)}
       137:{2,3,5,6,7}:{(106,1),(109,1),(163,1),(164,1),(168,1),(198,1)}
       138:{1,2,5,7}:{(107,1),(111,1),(116,1),(162,1),(165,1)}
       139:{3,5,7}:{(108,1),(112,1),(163,1),(166,1)}
       140:{2,4,7}:{(109,1),(113,1),(166,1)}
       141:{2,3,5,7}:{(110,1),(114,1),(118,1),(167,1),(168,1),(174,1),(198,1)}
       142:{1,3,5,6}:{(111,1),(112,1),(120,1),(165,1),(169,1),(178,1),(204,1),(209,1)}
       143:{3,4,6}:{(112,1),(113,1),(166,1),(169,1),(170,1)}
       144:{2,4,5}:{(113,1),(114,1),(170,1)}
       145:{2,3,7}:{(115,1),(119,1)}
       146:{1,3,7}:{(116,1),(120,1)}
       147:{3,4,7}:{(117,1),(121,1),(174,1)}
       148:{1,2,4,5,7}:{(117,1),(118,1),(122,1),(128,1),(167,1),(174,1),(175,1),(179,1),(200,1),(202,1)}
       149:{1,2,5,6}:{(118,1),(129,1),(168,1),(175,1),(196,1),(209,1)}
       150:{1,2,3,6}:{(119,1),(120,1),(123,1),(171,1),(176,1)}
       151:{2,3,4,6}:{(119,1),(121,1),(124,1),(130,1),(172,1),(176,1),(177,1),(203,1)}
       152:{1,3,4,6}:{(120,1),(121,1),(125,1),(169,1),(173,1),(176,1),(178,1),(204,1)}
       153:{3,5}:{(121,1),(122,1)}
       154:{1,2,4}:{(123,1),(124,1),(125,1)}
       155:{2,4,7}:{(126,1),(127,1),(130,1)}
       156:{3,4,5,7}:{(127,1),(128,1),(131,1),(160,1),(174,1),(179,1),(180,1)}
       157:{1,4,6}:{(128,1),(129,1),(180,1)}
       158:{2,4,5}:{(130,1),(131,1),(177,1)}
       159:{2,4,6,7}:{(132,1),(133,1),(155,1),(181,1),(195,1)}
       160:{3,5,7}:{(133,1),(134,1),(181,1),(182,1)}
       161:{1,4,5,6}:{(134,1),(157,1),(182,1)}
       162:{1,2,6,7}:{(135,1),(138,1),(183,1),(208,1)}
       163:{3,6,7}:{(136,1),(139,1),(193,1)}
       164:{2,4,6,7}:{(137,1),(140,1),(184,1),(185,1),(188,1)}
       165:{1,3,5,7}:{(138,1),(139,1),(142,1),(146,1),(183,1),(186,1),(205,1)}
       166:{3,4,7}:{(139,1),(140,1),(143,1),(186,1)}
       167:{2,4,5,7}:{(140,1),(141,1),(144,1),(187,1),(188,1)}
       168:{2,3,5,6}:{(141,1),(149,1),(188,1),(193,1),(206,1)}
       169:{1,4,6}:{(142,1),(143,1),(186,1),(189,1)}
       170:{3,4,5}:{(143,1),(144,1),(153,1),(189,1)}
       171:{1,2,3,7}:{(145,1),(146,1),(150,1),(190,1)}
       172:{2,3,4,7}:{(145,1),(147,1),(151,1),(155,1),(190,1),(191,1)}
       173:{1,3,4,7}:{(146,1),(147,1),(152,1),(186,1),(190,1),(192,1)}
       174:{3,5,7}:{(147,1),(148,1),(153,1),(193,1)}
       175:{1,2,4,6}:{(148,1),(149,1),(157,1),(188,1),(193,1),(195,1),(207,1),(208,1)}
       176:{1,2,4,6}:{(150,1),(151,1),(152,1),(154,1),(190,1),(194,1),(208,1)}
       177:{2,3,5}:{(151,1),(153,1),(158,1),(194,1)}
       178:{1,3,5}:{(152,1),(153,1),(189,1),(194,1)}
       179:{2,4,5,7}:{(155,1),(156,1),(158,1),(181,1),(191,1),(195,1)}
       180:{3,4,6}:{(156,1),(157,1),(182,1),(193,1),(195,1)}
       181:{2,5,7}:{(159,1),(160,1),(196,1)}
       182:{3,5,6}:{(160,1),(161,1),(180,1),(196,1)}
       183:{1,3,6,7}:{(162,1),(163,1),(165,1),(197,1),(204,1)}
       184:{3,4,6,7}:{(163,1),(164,1),(166,1),(197,1),(198,1),(201,1)}
       185:{2,4,5,7}:{(164,1),(198,1),(199,1)}
       186:{1,4,7}:{(165,1),(166,1),(169,1)}
       187:{3,4,5,7}:{(166,1),(167,1),(170,1),(174,1),(198,1),(200,1),(201,1)}
       188:{2,4,6}:{(167,1),(168,1),(201,1)}
       189:{1,4,5}:{(169,1),(170,1),(178,1)}
       190:{1,2,4,7}:{(171,1),(172,1),(173,1),(176,1),(202,1)}
       191:{2,3,5,7}:{(172,1),(174,1),(177,1),(179,1),(202,1),(203,1)}
       192:{1,3,5,7}:{(173,1),(174,1),(178,1),(200,1),(202,1),(204,1)}
       193:{3,6}:{(174,1),(175,1)}
       194:{1,2,5}:{(176,1),(177,1),(178,1)}
       195:{2,4,6}:{(179,1),(180,1),(196,1),(203,1)}
       196:{2,5,6}:{(181,1),(182,1),(195,1)}
       197:{1,4,6,7}:{(183,1),(184,1),(186,1),(205,1),(207,1)}
       198:{3,5,7}:{(184,1),(185,1),(205,1),(206,1)}
       199:{2,4,5,6}:{(185,1),(188,1),(206,1)}
       200:{1,4,5,7}:{(186,1),(187,1),(189,1),(192,1),(205,1),(207,1)}
       201:{3,4,6}:{(187,1),(188,1),(193,1),(206,1),(207,1)}
       202:{1,2,5,7}:{(190,1),(191,1),(192,1),(194,1),(208,1)}
       203:{2,3,6}:{(191,1),(193,1),(195,1),(208,1)}
       204:{1,3,6}:{(192,1),(193,1),(207,1),(208,1)}
       205:{1,5,7}:{(197,1),(198,1),(209,1)}
       206:{3,5,6}:{(198,1),(199,1),(201,1),(209,1)}
       207:{1,4,6}:{(200,1),(201,1),(204,1),(209,1)}
       208:{1,2,6}:{(202,1),(203,1),(204,1)}
       209:{1,5,6}:{(205,1),(206,1),(207,1)}

1743 :   0:{2,4,5,6,7}:{(1,1),(13,1),(205,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(5,1),(208,1)}
         2:{3,4,5,6}:{(7,1),(8,1),(9,1),(35,1),(184,1),(204,1)}
         3:{2,3,4,5,7}:{(10,1),(11,1),(30,1),(82,1),(83,1),(89,1),(144,1),(150,1),(185,1),(188,1)}
         4:{3,4,6,7}:{(1,1),(7,1),(12,1),(13,1),(43,1),(204,1)}
         5:{1,5,6,7}:{(1,1),(12,1),(209,1)}
         6:{2,3,5,6,7}:{(1,1),(13,1),(14,1),(30,1),(43,1),(189,1)}
         7:{3,4,5,7}:{(2,1),(4,1),(18,1),(19,1),(54,1)}
         8:{1,4,5,6}:{(2,1),(17,1),(18,1),(192,1),(207,1)}
         9:{2,4,5,6}:{(2,1),(16,1),(19,1),(172,1),(199,1)}
        10:{2,3,4,6}:{(3,1),(16,1),(23,1),(55,1),(169,1),(197,1),(199,1)}
        11:{1,2,4,5,7}:{(3,1),(23,1),(24,1),(50,1),(62,1),(111,1),(112,1),(123,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(18,1),(25,1),(207,1)}
        13:{2,4,6,7}:{(4,1),(6,1),(19,1),(199,1)}
        14:{1,2,5,6,7}:{(5,1),(6,1),(26,1),(27,1),(50,1),(125,1),(174,1)}
        15:{1,3,4,5}:{(28,1),(29,1),(83,1),(131,1),(179,1)}
        16:{2,3,5,6}:{(9,1),(10,1),(30,1),(31,1),(35,1),(150,1),(153,1)}
        17:{1,3,5,6}:{(8,1),(28,1),(32,1),(33,1),(35,1),(179,1),(202,1)}
        18:{1,4,5,7}:{(7,1),(8,1),(12,1),(32,1)}
        19:{2,4,5,7}:{(7,1),(9,1),(13,1),(30,1)}
        20:{1,2,4,5,6}:{(8,1),(9,1),(31,1),(33,1),(34,1),(35,1),(79,1),(81,1),(96,1),(142,1),(153,1),(186,1)}
        21:{1,3,4,5,7}:{(36,1),(37,1),(41,1),(85,1),(93,1),(143,1),(183,1),(184,1),(185,1),(201,1)}
        22:{2,3,4,6,7}:{(10,1),(13,1),(30,1),(39,1),(43,1),(82,1),(94,1)}
        23:{1,2,4,6}:{(10,1),(11,1),(31,1),(40,1),(79,1)}
        24:{1,3,5,7}:{(11,1),(40,1),(41,1),(93,1),(185,1)}
        25:{1,3,6,7}:{(12,1),(32,1),(42,1),(43,1),(202,1)}
        26:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(34,1),(42,1),(43,1),(44,1),(94,1),(186,1)}
        27:{1,3,5,6,7}:{(14,1),(43,1),(44,1),(78,1),(95,1),(152,1)}
        28:{1,3,4,6}:{(15,1),(17,1),(46,1),(47,1),(55,1)}
        29:{1,2,4,5}:{(15,1),(47,1),(48,1),(102,1),(114,1),(160,1)}
        30:{2,3,5,7}:{(16,1),(19,1),(22,1),(50,1),(54,1),(125,1)}
        31:{1,2,5,6}:{(16,1),(23,1),(50,1),(51,1),(123,1)}
        32:{1,3,5,7}:{(17,1),(18,1),(25,1),(46,1),(52,1),(54,1)}
        33:{1,2,5,6}:{(17,1),(47,1),(52,1),(53,1),(160,1),(194,1)}
        34:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(26,1),(50,1),(52,1),(54,1),(67,1),(111,1),(113,1),(125,1)}
        35:{3,5,6}:{(20,1),(54,1),(55,1),(166,1),(197,1)}
        36:{1,3,4,6}:{(21,1),(57,1),(59,1),(164,1),(168,1),(197,1),(207,1)}
        37:{1,2,4,5,7}:{(21,1),(59,1),(60,1),(62,1),(118,1),(123,1),(171,1),(172,1)}
        38:{1,2,3,5,7}:{(24,1),(60,1),(61,1),(62,1),(123,1)}
        39:{1,2,4,6,7}:{(22,1),(23,1),(50,1),(63,1),(111,1)}
        40:{1,3,6}:{(23,1),(24,1),(197,1)}
        41:{1,3,4,7}:{(24,1),(62,1),(64,1),(111,1),(165,1)}
        42:{1,2,6,7}:{(25,1),(52,1),(65,1),(194,1)}
        43:{3,6,7}:{(26,1),(54,1),(197,1)}
        44:{1,4,6,7}:{(27,1),(66,1),(67,1),(111,1),(168,1)}
        45:{2,3,4,5}:{(68,1),(69,1),(73,1),(135,1),(184,1)}
        46:{1,3,4,7}:{(28,1),(32,1),(71,1),(82,1)}
        47:{1,2,4,6}:{(28,1),(29,1),(33,1),(71,1),(72,1),(81,1)}
        48:{2,3,5}:{(29,1),(72,1),(73,1)}
        49:{3,4,5,6}:{(74,1),(75,1),(76,1),(83,1),(139,1),(145,1)}
        50:{1,2,5,7}:{(30,1),(31,1),(39,1),(78,1)}
        51:{1,3,5,6}:{(31,1),(35,1),(40,1),(78,1),(79,1),(93,1)}
        52:{1,2,5,7}:{(32,1),(33,1),(42,1),(71,1),(80,1)}
        53:{2,3,5,6}:{(33,1),(35,1),(72,1),(80,1),(81,1),(135,1),(153,1),(181,1)}
        54:{3,5,7}:{(34,1),(35,1),(43,1),(82,1)}
        55:{3,4,6}:{(35,1),(79,1),(81,1),(82,1),(83,1)}
        56:{1,4,5,6,7}:{(84,1),(96,1),(136,1)}
        57:{1,3,5,6}:{(36,1),(75,1),(85,1),(86,1),(93,1),(139,1),(209,1)}
        58:{1,3,4,6,7}:{(36,1),(85,1),(87,1),(136,1),(182,1),(183,1),(200,1)}
        59:{1,2,4,6}:{(36,1),(37,1),(86,1),(88,1),(148,1)}
        60:{2,3,5,7}:{(37,1),(88,1),(89,1),(150,1),(185,1)}
        61:{1,2,3,6}:{(38,1),(40,1),(88,1),(91,1)}
        62:{1,2,4,7}:{(38,1),(41,1),(89,1),(91,1)}
        63:{1,3,6,7}:{(39,1),(40,1),(43,1),(78,1)}
        64:{1,3,4,6}:{(40,1),(41,1),(79,1),(91,1),(93,1),(140,1)}
        65:{2,3,6,7}:{(42,1),(43,1),(80,1),(94,1),(181,1)}
        66:{3,4,6,7}:{(43,1),(44,1),(82,1),(94,1),(95,1),(145,1)}
        67:{1,4,5,7}:{(44,1),(95,1),(96,1)}
        68:{2,3,4,6}:{(45,1),(97,1),(98,1),(99,1),(164,1)}
        69:{1,2,4,5}:{(45,1),(99,1),(100,1),(102,1),(160,1),(192,1)}
        70:{1,2,3,5}:{(48,1),(100,1),(101,1),(102,1),(160,1)}
        71:{1,2,4,7}:{(46,1),(47,1),(52,1),(103,1),(113,1)}
        72:{2,3,6}:{(47,1),(48,1),(103,1)}
        73:{2,3,4}:{(48,1),(102,1)}
        74:{3,4,5,7}:{(49,1),(105,1),(106,1),(107,1),(163,1)}
        75:{1,4,5,6}:{(49,1),(57,1),(106,1),(112,1),(168,1)}
        76:{2,4,5,6}:{(49,1),(97,1),(107,1),(114,1),(169,1)}
        77:{1,2,3,5,6}:{(51,1),(53,1),(61,1),(101,1),(109,1),(110,1),(119,1),(123,1),(156,1),(160,1),(166,1),(174,1),(194,1),(197,1)}
        78:{1,3,5,7}:{(50,1),(51,1),(54,1),(63,1),(111,1)}
        79:{1,4,6}:{(51,1),(55,1),(111,1),(112,1)}
        80:{2,3,5,7}:{(52,1),(53,1),(54,1),(65,1),(103,1),(113,1),(125,1)}
        81:{2,4,6}:{(53,1),(55,1),(113,1),(114,1)}
        82:{3,4,7}:{(54,1),(55,1),(111,1),(113,1)}
        83:{3,4,5}:{(55,1),(112,1),(114,1),(166,1)}
        84:{3,5,6,7}:{(56,1),(105,1),(117,1),(126,1)}
        85:{1,3,5,7}:{(57,1),(58,1),(106,1),(118,1),(163,1),(206,1)}
        86:{1,2,5,6}:{(57,1),(59,1),(118,1),(119,1),(123,1)}
        87:{1,2,4,6,7}:{(58,1),(59,1),(118,1),(120,1),(171,1)}
        88:{2,3,6}:{(59,1),(60,1),(197,1)}
        89:{2,3,4,7}:{(60,1),(62,1),(121,1),(165,1),(171,1)}
        90:{1,2,3,6,7}:{(61,1),(63,1),(65,1),(109,1),(120,1),(122,1),(190,1),(194,1),(197,1)}
        91:{1,2,4,6}:{(61,1),(62,1),(64,1),(121,1),(123,1)}
        92:{1,3,4,6,7}:{(63,1),(64,1),(66,1),(111,1),(122,1),(124,1),(165,1),(168,1),(197,1)}
        93:{1,3,5}:{(64,1),(112,1),(123,1),(166,1)}
        94:{2,4,6,7}:{(65,1),(66,1),(113,1),(125,1),(169,1)}
        95:{3,5,7}:{(66,1),(67,1),(125,1),(126,1)}
        96:{1,4,5,6}:{(67,1),(126,1),(168,1)}
        97:{2,3,5,6}:{(68,1),(76,1),(127,1),(128,1),(135,1),(139,1),(181,1)}
        98:{2,3,4,7}:{(68,1),(127,1),(129,1),(183,1)}
        99:{1,2,4,6}:{(68,1),(69,1),(128,1),(129,1),(130,1),(177,1)}
       100:{1,3,5}:{(69,1),(130,1),(131,1)}
       101:{1,2,3,6}:{(70,1),(72,1),(130,1),(132,1),(133,1)}
       102:{1,2,4}:{(70,1),(73,1),(131,1)}
       103:{2,3,7}:{(71,1),(72,1)}
       104:{2,3,4,6}:{(72,1),(73,1),(81,1),(133,1),(134,1),(135,1),(140,1),(181,1)}
       105:{3,4,6,7}:{(74,1),(84,1),(136,1),(137,1),(145,1),(182,1)}
       106:{1,4,5,7}:{(74,1),(75,1),(85,1),(136,1)}
       107:{2,4,5,7}:{(74,1),(76,1),(127,1),(137,1)}
       108:{1,2,4,5,6}:{(75,1),(76,1),(86,1),(128,1),(138,1),(139,1),(142,1),(148,1),(177,1),(186,1),(205,1),(209,1)}
       109:{1,2,3,5,7}:{(77,1),(78,1),(80,1),(90,1),(132,1),(141,1),(147,1),(151,1),(176,1),(180,1),(185,1)}
       110:{1,2,4,6}:{(77,1),(79,1),(81,1),(140,1),(141,1),(142,1),(148,1),(177,1)}
       111:{1,4,7}:{(78,1),(79,1),(82,1)}
       112:{1,4,5}:{(79,1),(83,1),(93,1)}
       113:{2,4,7}:{(80,1),(81,1),(82,1)}
       114:{2,4,5}:{(81,1),(83,1),(135,1)}
       115:{3,4,5,7}:{(82,1),(83,1),(95,1),(143,1),(144,1),(145,1),(185,1)}
       116:{1,3,5,6,7}:{(84,1),(85,1),(136,1),(146,1),(152,1),(182,1)}
       117:{2,5,6,7}:{(84,1),(137,1),(153,1)}
       118:{1,2,5,7}:{(85,1),(86,1),(87,1),(147,1)}
       119:{2,3,5,6}:{(86,1),(88,1),(139,1),(147,1),(148,1),(150,1)}
       120:{2,3,6,7}:{(87,1),(88,1),(147,1),(182,1)}
       121:{2,3,4,6}:{(88,1),(89,1),(91,1),(140,1),(148,1),(150,1)}
       122:{1,2,4,6,7}:{(90,1),(91,1),(92,1),(94,1),(141,1),(149,1),(151,1),(186,1),(200,1)}
       123:{1,2,5}:{(91,1),(93,1),(150,1)}
       124:{1,3,5,7}:{(92,1),(93,1),(95,1),(143,1),(151,1),(152,1),(185,1)}
       125:{2,5,7}:{(94,1),(95,1),(153,1)}
       126:{3,5,6}:{(95,1),(96,1),(145,1),(153,1)}
       127:{2,3,5,7}:{(97,1),(98,1),(107,1),(154,1),(155,1),(163,1)}
       128:{1,2,5,6}:{(97,1),(99,1),(155,1),(156,1),(160,1),(194,1)}
       129:{1,2,4,7}:{(98,1),(99,1),(155,1),(157,1),(191,1)}
       130:{1,3,6}:{(99,1),(100,1),(157,1)}
       131:{1,3,4}:{(100,1),(102,1)}
       132:{1,2,3,7}:{(101,1),(103,1),(157,1),(159,1)}
       133:{1,2,4,6}:{(101,1),(102,1),(104,1),(158,1),(159,1),(160,1),(194,1)}
       134:{2,3,4,7}:{(103,1),(104,1),(113,1),(159,1),(161,1),(165,1)}
       135:{2,3,5}:{(104,1),(114,1),(160,1),(166,1)}
       136:{1,4,6,7}:{(105,1),(106,1),(116,1),(168,1)}
       137:{2,4,6,7}:{(105,1),(107,1),(117,1),(154,1),(169,1)}
       138:{1,2,4,5,7}:{(106,1),(107,1),(108,1),(118,1),(155,1),(162,1),(163,1),(171,1),(191,1),(198,1),(206,1)}
       139:{3,5,6}:{(108,1),(163,1),(164,1),(166,1),(197,1)}
       140:{3,4,6}:{(110,1),(165,1),(166,1),(197,1)}
       141:{1,2,4,7}:{(109,1),(110,1),(111,1),(113,1),(165,1),(171,1),(191,1)}
       142:{1,2,4,5}:{(110,1),(112,1),(114,1),(123,1),(160,1),(166,1),(172,1),(192,1)}
       143:{1,4,5,7}:{(111,1),(112,1),(115,1),(124,1),(168,1)}
       144:{2,4,5,7}:{(113,1),(114,1),(115,1),(125,1),(161,1),(169,1)}
       145:{3,4,6}:{(115,1),(126,1),(168,1),(169,1),(197,1)}
       146:{1,2,5,6,7}:{(116,1),(117,1),(118,1),(162,1),(170,1),(174,1),(206,1)}
       147:{2,3,5,7}:{(118,1),(119,1),(120,1),(163,1),(171,1)}
       148:{2,4,6}:{(119,1),(164,1),(171,1),(172,1)}
       149:{2,3,4,6,7}:{(120,1),(121,1),(122,1),(165,1),(171,1),(173,1),(195,1),(197,1),(199,1)}
       150:{2,3,5}:{(121,1),(123,1),(166,1),(172,1)}
       151:{1,2,5,7}:{(122,1),(123,1),(124,1),(125,1),(173,1),(174,1),(206,1)}
       152:{1,3,5,6}:{(124,1),(126,1),(168,1),(174,1),(197,1)}
       153:{2,5,6}:{(125,1),(126,1),(169,1)}
       154:{2,3,6,7}:{(127,1),(137,1),(175,1),(181,1),(182,1)}
       155:{1,2,5,7}:{(127,1),(128,1),(129,1),(175,1),(176,1)}
       156:{1,3,5,6}:{(128,1),(130,1),(139,1),(176,1),(177,1),(179,1),(202,1),(209,1)}
       157:{1,3,7}:{(129,1),(130,1)}
       158:{1,3,4,6}:{(130,1),(131,1),(133,1),(140,1),(177,1),(178,1),(179,1),(202,1)}
       159:{1,2,4,7}:{(132,1),(133,1),(134,1),(178,1),(180,1)}
       160:{1,2,5}:{(133,1),(135,1),(179,1)}
       161:{2,3,5,7}:{(134,1),(135,1),(144,1),(180,1),(181,1),(185,1)}
       162:{1,2,4,6,7}:{(136,1),(137,1),(138,1),(146,1),(175,1),(182,1),(186,1),(187,1),(200,1)}
       163:{3,5,7}:{(138,1),(139,1),(182,1),(183,1)}
       164:{3,4,6}:{(139,1),(148,1),(177,1),(183,1),(184,1)}
       165:{3,4,7}:{(140,1),(141,1),(185,1)}
       166:{3,5}:{(140,1),(142,1)}
       167:{1,2,4,5,7}:{(141,1),(142,1),(143,1),(144,1),(151,1),(180,1),(185,1),(186,1),(188,1),(201,1)}
       168:{1,4,6}:{(143,1),(145,1),(152,1)}
       169:{2,4,6}:{(144,1),(145,1),(153,1),(181,1)}
       170:{2,3,5,6,7}:{(146,1),(147,1),(182,1),(187,1),(189,1),(203,1)}
       171:{2,4,7}:{(147,1),(148,1),(183,1)}
       172:{2,4,5}:{(148,1),(150,1),(184,1)}
       173:{2,3,5,7}:{(149,1),(150,1),(151,1),(185,1),(188,1),(189,1),(203,1)}
       174:{1,2,5,6}:{(151,1),(152,1),(153,1),(186,1),(189,1),(209,1)}
       175:{1,2,6,7}:{(154,1),(155,1),(190,1),(194,1)}
       176:{1,3,5,7}:{(155,1),(156,1),(157,1),(163,1),(190,1),(191,1),(206,1)}
       177:{1,4,6}:{(156,1),(164,1),(191,1),(192,1)}
       178:{1,3,4,7}:{(157,1),(158,1),(159,1),(165,1),(191,1),(193,1)}
       179:{1,3,5}:{(158,1),(160,1),(166,1),(192,1)}
       180:{1,2,5,7}:{(159,1),(160,1),(161,1),(193,1),(194,1)}
       181:{2,3,6}:{(161,1),(169,1),(194,1),(197,1)}
       182:{3,6,7}:{(162,1),(163,1),(197,1)}
       183:{3,4,7}:{(163,1),(164,1),(171,1),(191,1)}
       184:{3,4,5}:{(164,1),(166,1),(172,1),(192,1)}
       185:{3,5,7}:{(165,1),(166,1),(167,1),(197,1)}
       186:{1,2,4,6}:{(167,1),(168,1),(169,1),(174,1),(194,1),(197,1),(199,1),(207,1)}
       187:{2,4,6,7}:{(170,1),(171,1),(195,1),(198,1),(199,1)}
       188:{2,4,5,7}:{(171,1),(172,1),(173,1),(196,1),(199,1)}
       189:{2,3,5,6}:{(173,1),(174,1),(197,1),(199,1),(208,1)}
       190:{1,3,6,7}:{(175,1),(176,1),(182,1),(200,1),(202,1)}
       191:{1,4,7}:{(176,1),(177,1),(183,1)}
       192:{1,4,5}:{(177,1),(179,1),(184,1)}
       193:{1,3,5,7}:{(178,1),(179,1),(180,1),(185,1),(201,1),(202,1)}
       194:{1,2,6}:{(180,1),(181,1),(202,1)}
       195:{3,4,6,7}:{(182,1),(183,1),(187,1),(200,1),(203,1),(204,1)}
       196:{3,4,5,7}:{(183,1),(184,1),(185,1),(188,1),(201,1),(203,1),(204,1)}
       197:{3,6}:{(185,1),(186,1)}
       198:{2,4,5,7}:{(187,1),(203,1),(205,1)}
       199:{2,4,6}:{(188,1),(189,1),(204,1)}
       200:{1,4,6,7}:{(190,1),(191,1),(195,1),(206,1),(207,1)}
       201:{1,4,5,7}:{(191,1),(192,1),(193,1),(196,1),(206,1),(207,1)}
       202:{1,3,6}:{(193,1),(194,1),(197,1),(207,1)}
       203:{3,5,7}:{(195,1),(198,1),(206,1),(208,1)}
       204:{3,4,6}:{(196,1),(197,1),(199,1),(207,1),(208,1)}
       205:{2,4,5,6}:{(198,1),(199,1),(208,1)}
       206:{1,5,7}:{(200,1),(203,1),(209,1)}
       207:{1,4,6}:{(201,1),(202,1),(204,1),(209,1)}
       208:{3,5,6}:{(203,1),(204,1),(205,1),(209,1)}
       209:{1,5,6}:{(206,1),(207,1),(208,1)}

1744 :   0:{2,3,4,6,7}:{(1,1),(2,1),(14,1),(24,1),(49,1),(51,1),(61,1),(90,1),(97,1),(117,1),(125,1)}
         1:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(29,1),(31,1),(42,1),(81,1),(114,1),(128,1)}
         2:{2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(32,1),(39,1),(108,1),(127,1)}
         3:{1,3,5,6,7}:{(10,1),(11,1),(25,1),(28,1),(38,1),(40,1),(79,1)}
         4:{2,3,5,6,7}:{(5,1),(10,1),(12,1),(39,1),(40,1),(62,1),(80,1)}
         5:{2,3,5,6}:{(2,1),(13,1),(14,1),(47,1),(49,1)}
         6:{1,3,6,7}:{(1,1),(15,1),(49,1),(125,1),(134,1)}
         7:{1,2,5,7}:{(1,1),(2,1),(13,1),(15,1),(59,1),(133,1)}
         8:{2,4,5,7}:{(2,1),(14,1),(17,1),(97,1),(120,1)}
         9:{1,3,4,6,7}:{(18,1),(19,1),(23,1),(44,1),(60,1),(83,1),(89,1),(93,1),(96,1),(116,1),(125,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(13,1),(22,1),(43,1),(58,1),(59,1),(98,1)}
        11:{1,4,6,7}:{(3,1),(20,1),(23,1),(44,1),(48,1),(96,1)}
        12:{2,4,6,7}:{(4,1),(14,1),(21,1),(24,1),(82,1),(97,1)}
        13:{1,2,5,6}:{(5,1),(7,1),(28,1),(29,1),(67,1),(108,1)}
        14:{2,4,6}:{(5,1),(8,1),(30,1)}
        15:{1,3,5,7}:{(6,1),(7,1),(28,1),(31,1),(32,1),(137,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(29,1),(31,1),(32,1),(33,1),(68,1),(73,1),(74,1),(108,1),(114,1),(129,1)}
        17:{3,4,5,7}:{(8,1),(30,1),(32,1),(33,1),(39,1),(78,1),(103,1)}
        18:{1,2,4,6,7}:{(9,1),(34,1),(35,1),(41,1),(63,1),(75,1),(81,1),(109,1),(114,1)}
        19:{1,3,5,7}:{(9,1),(25,1),(35,1),(36,1),(38,1),(76,1),(107,1),(126,1)}
        20:{1,4,5,7}:{(11,1),(26,1),(38,1),(68,1)}
        21:{2,4,5,7}:{(12,1),(27,1),(39,1),(99,1)}
        22:{1,2,4,6,7}:{(10,1),(11,1),(12,1),(29,1),(37,1),(40,1),(41,1),(42,1),(63,1),(81,1),(114,1)}
        23:{3,4,6,7}:{(11,1),(38,1),(40,1),(41,1),(64,1),(69,1),(78,1)}
        24:{3,4,6,7}:{(12,1),(30,1),(39,1),(40,1),(42,1),(78,1),(100,1)}
        25:{1,3,5,6}:{(19,1),(43,1),(44,1),(46,1),(83,1)}
        26:{1,4,5,6}:{(20,1),(44,1),(46,1)}
        27:{2,4,5,6}:{(14,1),(21,1),(47,1)}
        28:{1,3,5,6}:{(13,1),(15,1),(48,1),(49,1),(88,1)}
        29:{1,2,4,6}:{(13,1),(14,1),(16,1),(48,1),(49,1),(50,1),(90,1),(91,1)}
        30:{3,4,6}:{(14,1),(17,1),(47,1),(49,1),(50,1)}
        31:{1,4,7}:{(15,1),(48,1),(51,1),(139,1)}
        32:{3,5,7}:{(16,1),(49,1),(51,1),(88,1),(125,1),(135,1)}
        33:{1,4,5,7}:{(17,1),(50,1),(52,1),(59,1),(96,1),(119,1)}
        34:{2,3,6,7}:{(18,1),(54,1),(83,1),(123,1),(125,1)}
        35:{1,2,5,7}:{(18,1),(19,1),(43,1),(54,1),(58,1),(122,1)}
        36:{1,4,5,7}:{(19,1),(44,1),(56,1),(96,1),(119,1)}
        37:{1,2,4,5,7}:{(20,1),(21,1),(22,1),(45,1),(57,1),(58,1),(59,1),(96,1),(97,1),(98,1)}
        38:{3,5,7}:{(20,1),(23,1),(46,1),(58,1),(88,1)}
        39:{3,5,7}:{(21,1),(24,1),(47,1),(59,1),(115,1)}
        40:{3,6,7}:{(22,1),(49,1),(57,1),(83,1),(125,1)}
        41:{2,4,6,7}:{(23,1),(58,1),(61,1),(84,1),(90,1),(97,1)}
        42:{1,4,6,7}:{(24,1),(50,1),(59,1),(60,1),(96,1),(116,1)}
        43:{1,2,5,6}:{(25,1),(35,1),(62,1),(63,1),(66,1),(126,1)}
        44:{1,4,6}:{(25,1),(36,1),(64,1)}
        45:{1,2,4,5,6}:{(26,1),(27,1),(29,1),(37,1),(63,1),(65,1),(66,1),(67,1),(68,1),(99,1),(104,1),(105,1),(106,1),(108,1),(126,1),(129,1)}
        46:{3,5,6}:{(26,1),(38,1),(64,1),(66,1)}
        47:{3,5,6}:{(27,1),(30,1),(39,1),(67,1)}
        48:{1,4,6}:{(28,1),(31,1),(68,1),(69,1)}
        49:{3,6}:{(29,1),(32,1)}
        50:{1,4,6}:{(30,1),(33,1),(67,1),(70,1)}
        51:{3,4,7}:{(31,1),(32,1),(69,1),(73,1),(138,1)}
        52:{1,3,5,7}:{(32,1),(33,1),(70,1),(72,1),(74,1),(107,1)}
        53:{2,3,5,7}:{(32,1),(71,1),(73,1),(74,1),(108,1),(110,1),(131,1)}
        54:{2,3,5,7}:{(34,1),(35,1),(62,1),(75,1),(76,1),(131,1)}
        55:{1,2,4,5,7}:{(35,1),(36,1),(63,1),(75,1),(76,1),(77,1),(99,1),(111,1),(113,1),(114,1),(126,1),(129,1)}
        56:{3,4,5,7}:{(36,1),(38,1),(64,1),(76,1),(77,1),(78,1),(103,1)}
        57:{3,5,7}:{(37,1),(40,1),(65,1),(78,1)}
        58:{2,5,7}:{(38,1),(41,1),(66,1),(108,1)}
        59:{1,5,7}:{(39,1),(42,1),(67,1),(126,1)}
        60:{1,3,6,7}:{(40,1),(42,1),(70,1),(79,1),(81,1),(101,1)}
        61:{2,3,6,7}:{(40,1),(41,1),(71,1),(80,1),(81,1),(102,1)}
        62:{2,3,5,6}:{(43,1),(54,1),(82,1),(83,1),(115,1)}
        63:{1,2,4,6}:{(43,1),(44,1),(55,1),(82,1),(83,1),(84,1),(116,1),(118,1)}
        64:{3,4,6}:{(44,1),(46,1),(56,1),(83,1),(84,1)}
        65:{3,5,6}:{(45,1),(49,1),(57,1),(83,1),(85,1),(88,1),(115,1),(135,1)}
        66:{2,5,6}:{(46,1),(58,1),(84,1)}
        67:{1,5,6}:{(47,1),(50,1),(59,1)}
        68:{1,4,5}:{(48,1),(88,1)}
        69:{3,4,6}:{(48,1),(49,1),(51,1),(88,1),(90,1)}
        70:{1,3,6}:{(49,1),(50,1),(52,1),(91,1)}
        71:{2,3,6}:{(49,1),(53,1),(90,1),(91,1)}
        72:{1,3,4,7}:{(51,1),(52,1),(89,1),(92,1),(96,1),(125,1)}
        73:{2,4,7}:{(51,1),(53,1),(90,1),(136,1)}
        74:{1,2,5,7}:{(52,1),(53,1),(91,1),(92,1),(122,1)}
        75:{2,4,7}:{(54,1),(82,1),(93,1),(136,1)}
        76:{3,5,7}:{(55,1),(83,1),(93,1),(115,1),(125,1),(135,1)}
        77:{2,4,5,7}:{(56,1),(58,1),(84,1),(95,1),(97,1),(120,1)}
        78:{3,4,7}:{(57,1),(85,1),(96,1),(97,1),(125,1)}
        79:{1,3,5,7}:{(57,1),(59,1),(60,1),(86,1),(96,1),(98,1),(125,1)}
        80:{2,3,5,7}:{(57,1),(58,1),(61,1),(87,1),(97,1),(98,1),(125,1)}
        81:{1,2,6,7}:{(60,1),(61,1),(91,1),(98,1),(118,1)}
        82:{2,4,6}:{(62,1),(75,1),(99,1),(100,1)}
        83:{3,6}:{(63,1),(76,1)}
        84:{2,4,6}:{(64,1),(66,1),(77,1),(102,1)}
        85:{3,4,6}:{(65,1),(78,1),(103,1),(104,1),(105,1),(130,1),(138,1)}
        86:{1,3,5,6}:{(65,1),(67,1),(70,1),(79,1),(101,1),(104,1),(106,1),(107,1),(126,1),(130,1),(137,1)}
        87:{2,3,5,6}:{(65,1),(66,1),(71,1),(80,1),(102,1),(105,1),(106,1),(108,1),(127,1),(130,1),(131,1)}
        88:{3,5}:{(68,1),(69,1),(108,1)}
        89:{1,3,4,6}:{(69,1),(70,1),(72,1),(104,1),(107,1),(109,1),(130,1),(138,1)}
        90:{2,4,6}:{(69,1),(71,1),(73,1),(108,1)}
        91:{1,2,6}:{(70,1),(71,1),(74,1)}
        92:{1,2,4,7}:{(72,1),(73,1),(74,1),(109,1),(110,1)}
        93:{3,4,7}:{(75,1),(76,1),(100,1),(111,1),(138,1)}
        94:{1,3,5,7}:{(76,1),(101,1),(111,1),(113,1),(126,1),(132,1),(137,1)}
        95:{2,3,5,7}:{(76,1),(77,1),(102,1),(112,1),(113,1),(127,1)}
        96:{1,4,7}:{(78,1),(79,1),(104,1)}
        97:{2,4,7}:{(78,1),(80,1),(105,1)}
        98:{1,2,5,7}:{(79,1),(80,1),(81,1),(106,1),(114,1)}
        99:{2,4,5}:{(82,1),(115,1)}
       100:{3,4,6}:{(82,1),(83,1),(93,1),(115,1),(116,1)}
       101:{1,3,6}:{(83,1),(94,1),(116,1),(118,1)}
       102:{2,3,6}:{(83,1),(84,1),(95,1),(118,1)}
       103:{3,4,5}:{(85,1),(88,1),(115,1),(119,1),(120,1),(135,1)}
       104:{1,4,6}:{(85,1),(86,1),(96,1),(119,1),(139,1)}
       105:{2,4,6}:{(85,1),(87,1),(97,1),(120,1),(136,1)}
       106:{1,2,5,6}:{(86,1),(87,1),(91,1),(98,1),(118,1),(121,1),(122,1),(133,1)}
       107:{1,3,5}:{(88,1),(89,1),(119,1),(122,1),(135,1)}
       108:{2,5}:{(88,1),(90,1)}
       109:{1,2,4,6}:{(89,1),(90,1),(91,1),(92,1),(122,1),(123,1),(136,1)}
       110:{2,3,7}:{(92,1),(123,1),(125,1)}
       111:{1,4,7}:{(93,1),(94,1),(116,1),(139,1)}
       112:{2,3,4,7}:{(93,1),(95,1),(97,1),(117,1),(124,1),(125,1)}
       113:{1,2,5,7}:{(94,1),(95,1),(118,1),(124,1),(133,1)}
       114:{1,2,4,7}:{(96,1),(97,1),(98,1),(121,1),(125,1)}
       115:{3,5}:{(99,1),(100,1),(126,1)}
       116:{1,4,6}:{(100,1),(101,1),(111,1),(126,1)}
       117:{2,3,4,6}:{(100,1),(102,1),(105,1),(112,1),(127,1),(128,1),(130,1),(138,1)}
       118:{1,2,6}:{(101,1),(102,1),(113,1)}
       119:{1,4,5}:{(103,1),(104,1),(107,1),(126,1)}
       120:{2,4,5}:{(103,1),(105,1),(108,1),(127,1)}
       121:{1,2,4,6}:{(104,1),(105,1),(106,1),(114,1),(129,1),(130,1)}
       122:{1,2,5}:{(107,1),(108,1),(109,1),(131,1)}
       123:{2,3,6}:{(109,1),(110,1),(130,1),(131,1)}
       124:{1,2,4,7}:{(111,1),(112,1),(113,1),(128,1),(132,1)}
       125:{3,7}:{(114,1),(130,1)}
       126:{1,5}:{(115,1),(116,1)}
       127:{2,3,5}:{(115,1),(117,1),(120,1),(133,1),(135,1)}
       128:{1,2,4,6}:{(116,1),(117,1),(118,1),(124,1),(133,1),(134,1),(139,1)}
       129:{1,2,4,5}:{(119,1),(120,1),(121,1),(122,1),(133,1),(135,1),(136,1),(139,1)}
       130:{3,6}:{(121,1),(125,1),(135,1)}
       131:{2,3,5}:{(122,1),(123,1),(135,1),(136,1)}
       132:{1,3,7}:{(124,1),(125,1),(134,1)}
       133:{1,2,5}:{(126,1),(127,1),(128,1),(137,1)}
       134:{1,3,6}:{(128,1),(130,1),(132,1),(137,1)}
       135:{3,5}:{(129,1),(130,1),(138,1)}
       136:{2,4}:{(131,1),(138,1)}
       137:{1,3,5}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,4}:{(135,1),(136,1),(139,1)}
       139:{1,4}:{(137,1),(138,1)}

1745 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(23,1),(56,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(36,1),(73,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(26,1),(51,1),(90,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(21,1),(26,1),(50,1),(93,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(22,1),(26,1),(49,1),(92,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(11,1),(12,1),(36,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(11,1),(68,1),(112,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(12,1),(67,1),(111,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(15,1),(34,1),(35,1),(114,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(44,1),(90,1),(156,1)}
        10:{2,3,4,5,7}:{(19,1),(20,1),(22,1),(51,1),(79,1),(82,1),(88,1),(124,1),(132,1)}
        11:{1,4,5,7}:{(5,1),(6,1),(17,1),(21,1)}
        12:{2,4,5,7}:{(5,1),(7,1),(18,1),(22,1)}
        13:{1,3,4,6,7}:{(6,1),(21,1),(24,1),(26,1),(41,1),(51,1)}
        14:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(25,1),(26,1),(51,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(23,1),(26,1),(133,1)}
        16:{1,2,3,5,6,7}:{(8,1),(26,1),(27,1),(49,1),(50,1),(52,1),(55,1),(76,1),(91,1),(92,1),(93,1),(136,1),(160,1),(163,1),(172,1)}
        17:{1,4,5,6}:{(9,1),(11,1),(28,1),(112,1),(164,1)}
        18:{2,4,5,6}:{(9,1),(12,1),(29,1),(111,1),(144,1)}
        19:{2,3,4,6}:{(10,1),(29,1),(31,1),(60,1),(111,1),(151,1)}
        20:{1,2,4,5,7}:{(10,1),(31,1),(32,1),(35,1),(63,1),(68,1),(99,1),(102,1)}
        21:{1,3,5,7}:{(11,1),(13,1),(28,1),(34,1),(36,1)}
        22:{2,3,5,7}:{(12,1),(14,1),(29,1),(35,1),(36,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(15,1),(30,1),(34,1),(35,1),(36,1),(67,1),(68,1)}
        24:{1,2,4,6,7}:{(13,1),(34,1),(37,1),(57,1),(67,1)}
        25:{1,2,4,6,7}:{(14,1),(31,1),(35,1),(38,1),(68,1)}
        26:{3,6,7}:{(15,1),(36,1),(151,1)}
        27:{1,2,4,6,7}:{(16,1),(39,1),(40,1),(67,1),(68,1),(97,1),(111,1),(112,1),(169,1),(174,1)}
        28:{1,3,5,6}:{(17,1),(21,1),(41,1),(42,1),(44,1),(153,1)}
        29:{2,3,5,6}:{(18,1),(19,1),(22,1),(43,1),(44,1),(124,1)}
        30:{1,2,4,5,6}:{(17,1),(18,1),(23,1),(42,1),(43,1),(44,1),(77,1),(78,1),(120,1),(133,1)}
        31:{1,2,4,6}:{(19,1),(20,1),(43,1),(45,1),(78,1)}
        32:{1,3,5,7}:{(20,1),(45,1),(47,1),(81,1),(132,1)}
        33:{1,3,4,5,7}:{(21,1),(41,1),(48,1),(51,1),(79,1),(89,1),(129,1),(132,1),(153,1)}
        34:{1,2,5,7}:{(21,1),(24,1),(42,1),(49,1)}
        35:{1,2,5,7}:{(22,1),(25,1),(43,1),(50,1)}
        36:{3,5,7}:{(23,1),(26,1),(44,1),(51,1)}
        37:{2,3,6,7}:{(24,1),(26,1),(49,1),(75,1)}
        38:{1,3,6,7}:{(25,1),(26,1),(45,1),(50,1)}
        39:{3,4,6,7}:{(26,1),(27,1),(51,1),(55,1),(90,1),(119,1),(163,1),(173,1)}
        40:{1,2,4,5,7}:{(27,1),(55,1),(56,1),(88,1),(89,1),(91,1),(120,1)}
        41:{1,3,4,6}:{(28,1),(33,1),(57,1),(60,1),(112,1),(151,1)}
        42:{1,2,5,6}:{(28,1),(34,1),(57,1),(58,1),(138,1)}
        43:{1,2,5,6}:{(29,1),(31,1),(35,1),(59,1),(102,1)}
        44:{3,5,6}:{(30,1),(36,1),(60,1),(140,1),(151,1)}
        45:{1,3,6}:{(31,1),(32,1),(151,1)}
        46:{1,2,3,5,7}:{(32,1),(61,1),(63,1),(102,1),(104,1)}
        47:{1,3,4,7}:{(32,1),(62,1),(63,1),(68,1),(109,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(57,1),(65,1),(67,1),(98,1),(107,1),(138,1)}
        49:{2,3,5,7}:{(34,1),(36,1),(37,1),(58,1),(67,1)}
        50:{1,3,5,7}:{(35,1),(36,1),(38,1),(59,1),(68,1)}
        51:{3,4,7}:{(36,1),(60,1),(67,1),(68,1)}
        52:{1,2,3,6,7}:{(37,1),(38,1),(61,1),(66,1),(70,1),(95,1),(147,1),(151,1),(170,1)}
        53:{2,3,4,6,7}:{(37,1),(39,1),(67,1),(70,1),(71,1),(96,1),(101,1),(109,1),(111,1),(147,1),(151,1),(169,1)}
        54:{1,3,4,6,7}:{(38,1),(39,1),(62,1),(68,1),(70,1),(72,1),(109,1),(112,1),(137,1),(151,1),(170,1),(174,1)}
        55:{3,5,7}:{(39,1),(40,1),(73,1),(140,1)}
        56:{1,2,4,5,6}:{(40,1),(73,1),(111,1),(112,1),(114,1)}
        57:{1,2,4,6}:{(41,1),(42,1),(48,1),(75,1),(77,1)}
        58:{2,3,5,6}:{(42,1),(44,1),(49,1),(75,1),(77,1),(118,1)}
        59:{1,3,5,6}:{(43,1),(44,1),(45,1),(50,1),(78,1),(81,1)}
        60:{3,4,6}:{(44,1),(51,1),(77,1),(78,1),(79,1)}
        61:{1,2,3,6}:{(45,1),(46,1),(80,1),(127,1)}
        62:{1,3,4,6}:{(45,1),(47,1),(78,1),(80,1),(81,1),(119,1)}
        63:{1,2,4,7}:{(46,1),(47,1),(80,1),(82,1)}
        64:{1,3,4,5,7}:{(47,1),(81,1),(83,1),(84,1),(89,1),(126,1),(132,1),(156,1),(173,1)}
        65:{2,3,5,7}:{(48,1),(75,1),(86,1),(118,1),(132,1)}
        66:{1,2,3,5,7}:{(49,1),(50,1),(52,1),(76,1),(87,1),(91,1),(132,1),(160,1),(172,1)}
        67:{2,4,7}:{(49,1),(51,1),(77,1)}
        68:{1,4,7}:{(50,1),(51,1),(78,1)}
        69:{3,4,5,7}:{(51,1),(55,1),(79,1),(88,1),(89,1),(90,1),(132,1),(156,1),(173,1)}
        70:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(80,1),(87,1),(91,1),(117,1),(133,1)}
        71:{2,3,5,7}:{(53,1),(55,1),(88,1),(91,1),(92,1),(118,1),(124,1),(132,1)}
        72:{1,3,5,7}:{(54,1),(55,1),(81,1),(89,1),(91,1),(93,1),(132,1),(153,1)}
        73:{3,5,6}:{(55,1),(56,1),(90,1)}
        74:{1,2,4,5,6,7}:{(56,1),(94,1),(134,1),(135,1),(136,1),(158,1)}
        75:{2,3,6}:{(57,1),(65,1),(151,1)}
        76:{1,2,3,5,6}:{(58,1),(59,1),(61,1),(66,1),(95,1),(97,1),(102,1),(114,1),(138,1),(140,1),(145,1),(151,1),(165,1)}
        77:{2,4,6}:{(58,1),(60,1),(67,1),(98,1)}
        78:{1,4,6}:{(59,1),(60,1),(68,1),(99,1)}
        79:{3,4,5}:{(60,1),(98,1),(99,1),(140,1)}
        80:{1,2,4,6}:{(61,1),(62,1),(63,1),(101,1),(102,1)}
        81:{1,3,5}:{(62,1),(99,1),(102,1),(140,1)}
        82:{2,3,4,7}:{(63,1),(101,1),(104,1),(109,1),(169,1)}
        83:{1,2,4,5,7}:{(63,1),(64,1),(102,1),(104,1),(105,1),(144,1),(146,1),(169,1)}
        84:{1,3,4,6}:{(64,1),(103,1),(105,1),(112,1),(151,1),(167,1)}
        85:{1,2,3,5,7}:{(65,1),(95,1),(107,1),(138,1),(148,1)}
        86:{2,3,4,7}:{(65,1),(67,1),(96,1),(107,1),(109,1)}
        87:{1,2,4,7}:{(66,1),(67,1),(68,1),(97,1),(109,1),(169,1),(174,1)}
        88:{2,4,5,7}:{(67,1),(69,1),(71,1),(98,1),(111,1),(144,1),(169,1)}
        89:{1,4,5,7}:{(68,1),(69,1),(72,1),(99,1),(112,1),(164,1),(174,1)}
        90:{3,4,6}:{(69,1),(73,1),(111,1),(112,1),(151,1)}
        91:{1,2,5,7}:{(70,1),(71,1),(72,1),(102,1),(114,1),(138,1)}
        92:{2,3,5,6}:{(71,1),(73,1),(111,1),(114,1),(151,1)}
        93:{1,3,5,6}:{(72,1),(73,1),(112,1),(114,1),(151,1)}
        94:{3,5,6,7}:{(73,1),(74,1),(113,1),(168,1)}
        95:{1,2,3,6}:{(75,1),(85,1),(117,1),(161,1)}
        96:{2,3,4,6}:{(75,1),(77,1),(86,1),(117,1),(118,1),(119,1)}
        97:{1,2,4,6}:{(76,1),(77,1),(78,1),(87,1),(119,1),(120,1),(159,1),(171,1)}
        98:{2,4,5}:{(77,1),(79,1),(118,1)}
        99:{1,4,5}:{(78,1),(79,1),(81,1)}
       100:{3,4,5,6}:{(79,1),(90,1),(121,1),(122,1),(123,1),(157,1)}
       101:{2,3,4,6}:{(80,1),(82,1),(119,1),(124,1),(127,1),(159,1)}
       102:{1,2,5}:{(80,1),(81,1),(124,1)}
       103:{1,3,5,6}:{(81,1),(84,1),(122,1),(125,1),(126,1),(157,1)}
       104:{2,3,5,7}:{(82,1),(83,1),(124,1),(127,1),(132,1)}
       105:{1,2,4,6}:{(83,1),(84,1),(125,1),(127,1),(159,1)}
       106:{1,3,4,6,7}:{(84,1),(126,1),(128,1),(135,1),(163,1),(173,1)}
       107:{1,2,4,7}:{(85,1),(86,1),(117,1),(129,1)}
       108:{2,3,4,5,7}:{(86,1),(88,1),(118,1),(130,1),(131,1),(132,1),(155,1),(156,1),(173,1)}
       109:{3,4,7}:{(87,1),(119,1),(132,1)}
       110:{1,2,4,5,7}:{(87,1),(88,1),(89,1),(91,1),(120,1),(132,1),(133,1)}
       111:{2,4,6}:{(88,1),(90,1),(92,1)}
       112:{1,4,6}:{(89,1),(90,1),(93,1)}
       113:{3,4,6,7}:{(90,1),(94,1),(123,1),(134,1),(135,1),(163,1),(173,1)}
       114:{1,2,5,6}:{(91,1),(92,1),(93,1),(133,1)}
       115:{2,3,5,6,7}:{(92,1),(94,1),(134,1),(136,1),(155,1),(160,1),(163,1)}
       116:{1,3,5,6,7}:{(93,1),(94,1),(126,1),(135,1),(136,1),(163,1),(172,1)}
       117:{1,2,4,6}:{(95,1),(96,1),(107,1),(137,1),(138,1)}
       118:{2,3,5}:{(96,1),(98,1),(138,1),(140,1)}
       119:{3,4,6}:{(97,1),(109,1),(140,1),(151,1)}
       120:{1,2,4,5}:{(97,1),(98,1),(99,1),(102,1),(138,1),(140,1),(144,1),(164,1)}
       121:{2,4,5,6}:{(98,1),(100,1),(111,1),(139,1),(142,1)}
       122:{1,4,5,6}:{(99,1),(100,1),(103,1),(112,1),(143,1)}
       123:{3,4,5,7}:{(100,1),(113,1),(142,1),(143,1),(168,1)}
       124:{2,3,5}:{(101,1),(102,1),(140,1),(144,1)}
       125:{1,2,5,6}:{(102,1),(103,1),(105,1),(145,1),(146,1)}
       126:{1,3,5,7}:{(103,1),(106,1),(143,1),(146,1),(168,1)}
       127:{2,3,6}:{(104,1),(105,1),(151,1)}
       128:{1,2,4,6,7}:{(105,1),(106,1),(146,1),(147,1),(169,1)}
       129:{1,3,4,7}:{(107,1),(109,1),(137,1),(148,1),(174,1)}
       130:{1,2,4,5,7}:{(107,1),(108,1),(138,1),(148,1),(149,1),(164,1),(166,1),(174,1)}
       131:{2,3,4,6}:{(108,1),(111,1),(139,1),(149,1),(151,1),(167,1)}
       132:{3,5,7}:{(109,1),(110,1),(140,1),(151,1)}
       133:{1,2,4,6}:{(110,1),(111,1),(112,1),(114,1),(151,1)}
       134:{2,4,6,7}:{(111,1),(113,1),(115,1),(142,1),(169,1)}
       135:{1,4,6,7}:{(112,1),(113,1),(116,1),(143,1),(174,1)}
       136:{1,2,5,6,7}:{(114,1),(115,1),(116,1),(146,1),(152,1),(166,1)}
       137:{1,3,4,6}:{(117,1),(119,1),(129,1),(153,1),(161,1),(171,1)}
       138:{1,2,5}:{(117,1),(118,1),(153,1)}
       139:{2,3,5,6}:{(118,1),(121,1),(131,1),(154,1),(155,1),(157,1)}
       140:{3,5}:{(119,1),(120,1)}
       141:{1,2,4,5,6}:{(120,1),(121,1),(122,1),(125,1),(133,1),(154,1),(157,1),(158,1),(159,1),(171,1)}
       142:{2,4,5,7}:{(121,1),(123,1),(134,1),(155,1)}
       143:{1,4,5,7}:{(122,1),(123,1),(126,1),(135,1)}
       144:{2,4,5}:{(124,1),(156,1),(159,1)}
       145:{2,3,5,6}:{(124,1),(125,1),(127,1),(157,1),(159,1),(160,1)}
       146:{1,2,5,7}:{(125,1),(126,1),(128,1),(160,1)}
       147:{2,3,6,7}:{(127,1),(128,1),(160,1),(163,1)}
       148:{1,3,5,7}:{(129,1),(130,1),(132,1),(153,1),(161,1)}
       149:{1,2,4,6}:{(130,1),(131,1),(154,1),(161,1),(171,1)}
       150:{2,3,4,6,7}:{(131,1),(134,1),(155,1),(162,1),(163,1),(173,1)}
       151:{3,6}:{(132,1),(133,1)}
       152:{1,2,4,6,7}:{(133,1),(134,1),(135,1),(136,1),(158,1),(163,1)}
       153:{1,3,5}:{(137,1),(138,1),(140,1),(164,1)}
       154:{1,2,5,6}:{(138,1),(139,1),(149,1),(165,1),(166,1)}
       155:{2,3,5,7}:{(139,1),(142,1),(150,1),(166,1),(168,1)}
       156:{3,4,5}:{(140,1),(144,1),(164,1),(167,1)}
       157:{3,5,6}:{(140,1),(141,1),(151,1),(167,1),(168,1)}
       158:{1,2,4,5,7}:{(141,1),(142,1),(143,1),(146,1),(152,1),(166,1),(168,1),(169,1),(174,1)}
       159:{2,4,6}:{(144,1),(145,1),(167,1),(169,1)}
       160:{2,3,5,7}:{(145,1),(146,1),(147,1),(168,1),(169,1)}
       161:{1,3,6}:{(148,1),(149,1),(151,1)}
       162:{1,2,4,6,7}:{(149,1),(150,1),(166,1),(170,1),(174,1)}
       163:{3,6,7}:{(151,1),(152,1),(168,1)}
       164:{1,4,5}:{(153,1),(156,1),(171,1)}
       165:{1,3,5,6}:{(153,1),(154,1),(157,1),(161,1),(171,1),(172,1)}
       166:{1,2,5,7}:{(154,1),(155,1),(162,1),(172,1)}
       167:{3,4,6}:{(156,1),(157,1),(159,1),(171,1),(173,1)}
       168:{3,5,7}:{(157,1),(158,1),(163,1),(173,1)}
       169:{2,4,7}:{(159,1),(160,1),(173,1)}
       170:{1,3,6,7}:{(161,1),(162,1),(163,1),(172,1)}
       171:{1,4,6}:{(164,1),(165,1),(167,1),(174,1)}
       172:{1,3,5,7}:{(165,1),(166,1),(168,1),(170,1),(174,1)}
       173:{3,4,7}:{(167,1),(168,1),(169,1),(174,1)}
       174:{1,4,7}:{(171,1),(172,1),(173,1)}

1746 :   0:{1,3,4,5,6}:{(1,1),(2,1),(20,1),(65,1),(72,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(53,1),(60,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(58,1),(61,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(48,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(45,1),(49,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(30,1),(54,1),(58,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(36,1),(76,1)}
         8:{1,3,5,6,7}:{(3,1),(14,1),(16,1),(36,1),(53,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(37,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{2,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(42,1),(45,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(8,1),(64,1)}
        15:{2,4,5,6,7}:{(7,1),(24,1),(86,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(45,1)}
        17:{2,3,6,7}:{(9,1),(10,1)}
        18:{2,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{2,3,4,5}:{(11,1),(23,1)}
        20:{1,3,4,6}:{(13,1),(29,1),(30,1),(54,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(33,1),(54,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(29,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(30,1)}
        24:{2,3,5,6,7}:{(15,1),(31,1),(35,1),(36,1),(79,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(35,1),(36,1),(37,1),(57,1),(59,1)}
        26:{2,3,5,6,7}:{(16,1),(17,1),(36,1),(37,1),(38,1)}
        27:{2,3,4,6,7}:{(17,1),(18,1),(33,1),(37,1),(38,1),(39,1),(56,1)}
        28:{2,3,4,5,7}:{(18,1),(19,1),(34,1),(38,1),(39,1),(76,1)}
        29:{1,3,4,7}:{(20,1),(22,1),(42,1)}
        30:{1,3,5}:{(20,1),(23,1)}
        31:{2,3,4,6,7}:{(24,1),(40,1),(43,1),(48,1)}
        32:{1,2,3,5,6,7}:{(21,1),(26,1),(44,1),(45,1),(47,1),(65,1),(66,1),(69,1),(89,1),(90,1)}
        33:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(41,1),(45,1),(46,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(42,1),(45,1),(46,1),(64,1)}
        35:{1,2,5,6,7}:{(24,1),(43,1),(47,1),(89,1)}
        36:{3,5,6,7}:{(25,1),(48,1),(69,1)}
        37:{2,4,6,7}:{(26,1),(48,1),(49,1)}
        38:{2,3,5,7}:{(27,1),(45,1),(49,1),(50,1),(69,1)}
        39:{2,3,4,6}:{(28,1),(46,1),(50,1),(88,1)}
        40:{2,3,4,5,7}:{(31,1),(51,1),(52,1),(60,1),(79,1),(94,1)}
        41:{1,3,4,6,7}:{(29,1),(33,1),(53,1),(54,1),(56,1),(77,1)}
        42:{1,3,5,7}:{(29,1),(30,1),(34,1),(54,1)}
        43:{1,2,4,6,7}:{(31,1),(35,1),(52,1),(55,1),(59,1)}
        44:{1,2,4,6,7}:{(32,1),(37,1),(56,1),(57,1),(59,1),(77,1),(96,1)}
        45:{1,2,5,7}:{(33,1),(38,1),(53,1),(58,1)}
        46:{1,2,4,6}:{(34,1),(39,1),(54,1),(58,1),(77,1)}
        47:{1,3,5,6,7}:{(35,1),(36,1),(55,1),(59,1),(80,1)}
        48:{3,4,6,7}:{(36,1),(37,1),(59,1),(60,1)}
        49:{2,4,5,7}:{(37,1),(38,1),(60,1),(61,1)}
        50:{2,3,5,6}:{(38,1),(39,1),(58,1),(61,1),(81,1)}
        51:{2,3,4,5,6}:{(40,1),(62,1),(72,1),(90,1),(99,1)}
        52:{1,2,4,5,7}:{(40,1),(43,1),(62,1),(63,1),(71,1),(85,1),(89,1)}
        53:{1,3,5,7}:{(41,1),(45,1),(64,1),(65,1),(69,1)}
        54:{1,3,6}:{(42,1),(46,1)}
        55:{1,3,6,7}:{(43,1),(63,1)}
        56:{3,4,6,7}:{(44,1),(69,1),(88,1)}
        57:{1,2,4,5,7}:{(44,1),(45,1),(49,1),(64,1),(69,1),(70,1),(71,1),(86,1),(89,1)}
        58:{1,2,5,6}:{(45,1),(46,1),(50,1),(65,1)}
        59:{1,4,6,7}:{(47,1),(48,1),(71,1)}
        60:{3,4,5,7}:{(48,1),(49,1),(69,1),(71,1),(72,1)}
        61:{2,4,5,6}:{(49,1),(50,1),(72,1)}
        62:{1,2,4,5,6}:{(51,1),(52,1),(73,1),(82,1),(92,1),(98,1)}
        63:{1,3,5,7}:{(52,1),(55,1),(73,1),(75,1)}
        64:{1,4,5,7}:{(53,1),(76,1),(77,1)}
        65:{1,3,5,6}:{(53,1),(54,1),(58,1),(77,1),(81,1)}
        66:{1,2,3,6,7}:{(55,1),(74,1),(78,1),(104,1)}
        67:{2,3,4,6,7}:{(56,1),(78,1),(79,1),(94,1),(96,1),(104,1)}
        68:{1,3,4,6,7}:{(55,1),(56,1),(59,1),(75,1),(78,1),(80,1),(97,1)}
        69:{3,5,7}:{(56,1),(57,1),(81,1)}
        70:{1,2,4,5,6}:{(57,1),(58,1),(61,1),(77,1),(81,1),(82,1),(96,1),(98,1)}
        71:{1,4,5,7}:{(59,1),(60,1),(80,1),(82,1)}
        72:{3,4,5,6}:{(60,1),(61,1),(81,1),(82,1)}
        73:{1,3,5,6}:{(62,1),(63,1),(84,1)}
        74:{1,2,3,5,7}:{(63,1),(66,1),(83,1),(85,1),(89,1),(101,1)}
        75:{1,3,4,7}:{(63,1),(84,1),(85,1)}
        76:{3,4,5,7}:{(64,1),(69,1),(86,1),(88,1)}
        77:{1,4,6}:{(64,1),(65,1),(88,1)}
        78:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(85,1),(89,1),(102,1)}
        79:{2,3,5,7}:{(67,1),(69,1),(86,1),(89,1),(90,1)}
        80:{1,3,5,7}:{(68,1),(69,1),(71,1),(89,1),(91,1)}
        81:{3,5,6}:{(69,1),(70,1),(88,1)}
        82:{1,4,5,6}:{(71,1),(72,1),(91,1)}
        83:{1,2,3,5,6}:{(73,1),(74,1),(92,1),(98,1),(103,1),(104,1)}
        84:{1,3,4,6}:{(73,1),(75,1),(92,1),(93,1)}
        85:{1,2,4,7}:{(74,1),(75,1),(92,1),(94,1)}
        86:{2,4,5,7}:{(76,1),(79,1),(96,1)}
        87:{1,3,4,5,7}:{(75,1),(76,1),(80,1),(93,1),(95,1),(97,1)}
        88:{3,4,6}:{(76,1),(77,1),(81,1),(96,1)}
        89:{1,2,5,7}:{(78,1),(79,1),(80,1),(98,1)}
        90:{2,3,5,6}:{(79,1),(81,1),(96,1),(98,1),(104,1)}
        91:{1,3,5,6}:{(80,1),(81,1),(82,1),(97,1),(98,1)}
        92:{1,2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        93:{1,3,4,5}:{(84,1),(100,1)}
        94:{2,3,4,7}:{(85,1),(99,1),(101,1)}
        95:{1,2,4,5,7}:{(85,1),(86,1),(87,1),(89,1),(100,1),(101,1),(102,1)}
        96:{2,4,6}:{(86,1),(88,1),(90,1)}
        97:{1,3,4,6}:{(87,1),(88,1),(91,1),(102,1)}
        98:{1,2,5,6}:{(89,1),(90,1),(91,1),(102,1)}
        99:{2,3,4,6}:{(92,1),(94,1),(103,1),(104,1)}
       100:{1,2,4,5}:{(92,1),(93,1),(103,1)}
       101:{2,3,5,7}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       103:{2,3,5}:{(99,1),(100,1)}
       104:{2,3,6}:{(101,1),(102,1)}

1747 :   0:{2,4,5,6,7}:{(2,1),(17,1),(173,1)}
         1:{2,3,4,5,7}:{(3,1),(4,1),(14,1),(47,1),(84,1),(91,1),(99,1),(127,1),(132,1),(135,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(7,1),(190,1)}
         3:{2,3,4,6}:{(1,1),(10,1),(11,1),(75,1),(153,1),(158,1),(160,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(27,1),(33,1),(62,1),(72,1),(76,1)}
         5:{2,3,4,6,7}:{(3,1),(14,1),(15,1),(17,1),(45,1),(84,1),(87,1)}
         6:{3,4,6,7}:{(2,1),(13,1),(16,1),(17,1),(45,1),(175,1)}
         7:{1,5,6,7}:{(2,1),(16,1),(202,1)}
         8:{2,3,5,6,7}:{(2,1),(14,1),(17,1),(18,1),(45,1),(128,1)}
         9:{3,4,5,6}:{(13,1),(20,1),(21,1),(53,1),(142,1),(175,1)}
        10:{2,3,5,6}:{(3,1),(14,1),(21,1),(22,1),(53,1),(91,1),(138,1)}
        11:{1,2,4,6}:{(3,1),(4,1),(22,1),(23,1),(54,1)}
        12:{1,3,5,7}:{(4,1),(23,1),(24,1),(55,1),(132,1)}
        13:{3,4,5,7}:{(6,1),(9,1),(25,1),(26,1),(61,1)}
        14:{2,3,5,7}:{(5,1),(10,1),(26,1),(27,1),(61,1),(111,1)}
        15:{1,2,4,6,7}:{(5,1),(11,1),(27,1),(28,1),(62,1)}
        16:{1,4,6,7}:{(6,1),(7,1),(25,1),(29,1),(192,1)}
        17:{2,4,6,7}:{(6,1),(8,1),(26,1),(153,1)}
        18:{1,2,5,6,7}:{(7,1),(8,1),(27,1),(30,1),(31,1),(106,1),(111,1)}
        19:{1,2,3,5,7}:{(12,1),(32,1),(33,1),(69,1),(72,1)}
        20:{1,4,5,6}:{(9,1),(25,1),(34,1),(165,1),(192,1)}
        21:{2,4,5,6}:{(9,1),(10,1),(26,1),(115,1),(153,1)}
        22:{1,2,5,6}:{(10,1),(11,1),(27,1),(36,1),(72,1)}
        23:{1,3,6}:{(11,1),(12,1),(158,1)}
        24:{1,3,4,7}:{(12,1),(33,1),(37,1),(62,1),(104,1)}
        25:{1,4,5,7}:{(13,1),(16,1),(20,1),(40,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(17,1),(21,1)}
        27:{1,2,5,7}:{(14,1),(15,1),(22,1),(42,1)}
        28:{1,3,6,7}:{(15,1),(23,1),(42,1),(45,1)}
        29:{1,3,6,7}:{(16,1),(40,1),(44,1),(45,1),(179,1)}
        30:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(41,1),(44,1),(45,1),(46,1),(87,1),(133,1)}
        31:{1,3,5,6,7}:{(18,1),(42,1),(45,1),(46,1),(86,1),(88,1)}
        32:{1,2,3,6}:{(19,1),(23,1),(50,1),(92,1)}
        33:{1,2,4,7}:{(19,1),(24,1),(47,1),(50,1)}
        34:{1,3,5,6}:{(20,1),(40,1),(48,1),(52,1),(53,1),(147,1),(179,1)}
        35:{1,2,4,5,6}:{(20,1),(21,1),(22,1),(41,1),(52,1),(53,1),(54,1),(89,1),(95,1),(98,1),(133,1),(138,1)}
        36:{1,3,5,6}:{(22,1),(23,1),(42,1),(53,1),(54,1),(55,1)}
        37:{1,3,4,6}:{(23,1),(24,1),(50,1),(54,1),(55,1),(94,1)}
        38:{1,3,4,5,7}:{(24,1),(51,1),(55,1),(56,1),(85,1),(101,1),(132,1),(142,1),(174,1),(186,1)}
        39:{1,2,3,6,7}:{(28,1),(32,1),(58,1),(59,1),(64,1),(117,1),(158,1),(194,1),(196,1)}
        40:{1,3,5,7}:{(25,1),(29,1),(34,1),(57,1),(60,1),(61,1)}
        41:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(30,1),(35,1),(60,1),(61,1),(62,1),(66,1),(107,1),(111,1)}
        42:{1,3,5,7}:{(27,1),(28,1),(36,1),(61,1),(62,1)}
        43:{1,3,4,6,7}:{(28,1),(37,1),(59,1),(62,1),(63,1),(65,1),(104,1),(109,1),(158,1)}
        44:{1,2,6,7}:{(29,1),(60,1),(64,1),(194,1)}
        45:{3,6,7}:{(30,1),(61,1),(158,1)}
        46:{1,4,6,7}:{(31,1),(62,1),(65,1),(66,1),(109,1)}
        47:{2,3,4,7}:{(33,1),(68,1),(69,1),(104,1),(167,1)}
        48:{1,3,4,6}:{(34,1),(57,1),(67,1),(70,1),(75,1)}
        49:{1,2,3,5,6}:{(32,1),(36,1),(58,1),(71,1),(72,1),(74,1),(106,1),(116,1),(118,1),(121,1),(158,1),(168,1),(170,1),(194,1)}
        50:{1,2,4,6}:{(32,1),(33,1),(37,1),(68,1),(72,1)}
        51:{1,2,4,5,7}:{(33,1),(38,1),(69,1),(72,1),(73,1),(115,1),(123,1),(167,1)}
        52:{1,2,5,6}:{(34,1),(60,1),(70,1),(74,1),(168,1),(194,1)}
        53:{3,5,6}:{(35,1),(61,1),(75,1),(121,1),(158,1)}
        54:{1,4,6}:{(36,1),(62,1),(75,1),(76,1)}
        55:{1,3,5}:{(37,1),(72,1),(76,1),(121,1)}
        56:{1,3,4,6}:{(38,1),(73,1),(77,1),(109,1),(158,1),(166,1),(192,1)}
        57:{1,3,4,7}:{(40,1),(48,1),(80,1),(84,1)}
        58:{1,2,3,5,7}:{(39,1),(42,1),(49,1),(81,1),(82,1),(83,1),(129,1),(132,1),(144,1),(177,1),(189,1)}
        59:{1,2,4,6,7}:{(39,1),(43,1),(50,1),(79,1),(81,1),(82,1),(87,1),(133,1),(204,1)}
        60:{1,2,5,7}:{(40,1),(44,1),(52,1),(80,1),(83,1)}
        61:{3,5,7}:{(41,1),(45,1),(53,1),(84,1)}
        62:{1,4,7}:{(42,1),(54,1),(84,1)}
        63:{1,3,5,7}:{(43,1),(55,1),(82,1),(85,1),(86,1),(88,1),(132,1)}
        64:{2,3,6,7}:{(44,1),(45,1),(83,1),(87,1),(178,1)}
        65:{3,4,6,7}:{(45,1),(46,1),(84,1),(87,1),(88,1),(136,1)}
        66:{1,4,5,7}:{(46,1),(88,1),(89,1)}
        67:{1,3,4,5}:{(48,1),(90,1),(99,1),(147,1),(182,1)}
        68:{2,3,4,6}:{(47,1),(50,1),(91,1),(92,1),(94,1),(143,1)}
        69:{2,3,5,7}:{(47,1),(51,1),(91,1),(92,1),(132,1)}
        70:{1,2,4,6}:{(48,1),(52,1),(80,1),(90,1),(93,1),(98,1)}
        71:{1,2,4,6}:{(49,1),(54,1),(81,1),(94,1),(95,1),(98,1),(143,1),(185,1)}
        72:{1,2,5}:{(50,1),(55,1),(91,1)}
        73:{1,2,4,6}:{(51,1),(56,1),(92,1),(96,1),(143,1)}
        74:{2,3,5,6}:{(52,1),(53,1),(83,1),(93,1),(98,1),(138,1),(146,1),(178,1)}
        75:{3,4,6}:{(53,1),(54,1),(84,1),(98,1),(99,1)}
        76:{1,4,5}:{(54,1),(55,1),(99,1)}
        77:{1,3,5,6}:{(55,1),(56,1),(96,1),(100,1),(101,1),(148,1),(202,1)}
        78:{1,3,4,6,7}:{(56,1),(97,1),(101,1),(137,1),(180,1),(186,1),(204,1)}
        79:{2,3,4,6,7}:{(59,1),(68,1),(102,1),(104,1),(117,1),(153,1),(158,1),(167,1),(193,1)}
        80:{1,2,4,7}:{(57,1),(60,1),(70,1),(103,1),(107,1)}
        81:{1,2,4,7}:{(58,1),(62,1),(71,1),(104,1),(107,1),(167,1),(200,1)}
        82:{1,2,5,7}:{(59,1),(63,1),(72,1),(102,1),(106,1),(111,1),(208,1)}
        83:{2,3,5,7}:{(60,1),(61,1),(64,1),(74,1),(103,1),(107,1),(111,1)}
        84:{3,4,7}:{(61,1),(62,1),(75,1),(107,1)}
        85:{1,4,5,7}:{(62,1),(63,1),(76,1),(108,1),(109,1)}
        86:{1,3,5,6}:{(63,1),(106,1),(109,1),(112,1),(158,1)}
        87:{2,4,6,7}:{(64,1),(65,1),(107,1),(111,1),(160,1)}
        88:{3,5,7}:{(65,1),(66,1),(111,1),(112,1)}
        89:{1,4,5,6}:{(66,1),(109,1),(112,1)}
        90:{1,2,4,5}:{(67,1),(70,1),(114,1),(124,1),(163,1),(168,1)}
        91:{2,3,5}:{(68,1),(72,1),(115,1),(121,1)}
        92:{2,3,6}:{(69,1),(73,1),(158,1)}
        93:{2,3,6}:{(70,1),(103,1),(114,1)}
        94:{3,4,6}:{(71,1),(104,1),(121,1),(158,1)}
        95:{1,2,4,5}:{(71,1),(72,1),(76,1),(115,1),(121,1),(124,1),(165,1),(168,1)}
        96:{1,2,5,6}:{(72,1),(73,1),(77,1),(116,1),(123,1)}
        97:{1,2,4,6,7}:{(73,1),(78,1),(117,1),(123,1),(167,1)}
        98:{2,4,6}:{(74,1),(75,1),(107,1),(124,1)}
        99:{3,4,5}:{(75,1),(76,1),(121,1),(124,1)}
       100:{1,4,5,6}:{(76,1),(77,1),(109,1),(125,1),(126,1)}
       101:{1,3,5,7}:{(77,1),(78,1),(123,1),(126,1),(171,1),(208,1)}
       102:{2,3,5,7}:{(79,1),(82,1),(91,1),(127,1),(128,1),(132,1),(203,1)}
       103:{2,3,7}:{(80,1),(93,1)}
       104:{3,4,7}:{(81,1),(94,1),(132,1)}
       105:{1,2,4,5,7}:{(81,1),(82,1),(85,1),(95,1),(127,1),(132,1),(133,1),(135,1),(174,1),(177,1)}
       106:{1,2,5,6}:{(82,1),(86,1),(128,1),(133,1),(138,1),(202,1)}
       107:{2,4,7}:{(83,1),(84,1),(98,1)}
       108:{3,4,5,7}:{(84,1),(85,1),(88,1),(99,1),(132,1),(135,1),(136,1)}
       109:{1,4,6}:{(85,1),(86,1),(136,1)}
       110:{1,3,5,6,7}:{(86,1),(101,1),(134,1),(137,1),(139,1),(180,1)}
       111:{2,5,7}:{(87,1),(88,1),(138,1)}
       112:{3,5,6}:{(88,1),(89,1),(136,1),(138,1)}
       113:{1,4,5,6,7}:{(89,1),(137,1),(139,1)}
       114:{2,3,5}:{(90,1),(93,1),(141,1)}
       115:{2,4,5}:{(91,1),(142,1),(143,1)}
       116:{2,3,5,6}:{(91,1),(92,1),(96,1),(143,1),(144,1),(148,1)}
       117:{2,3,6,7}:{(92,1),(97,1),(144,1),(180,1)}
       118:{1,2,3,6}:{(93,1),(129,1),(140,1),(145,1),(206,1)}
       119:{2,3,4,6}:{(93,1),(94,1),(98,1),(130,1),(141,1),(145,1),(146,1),(178,1)}
       120:{1,3,4,6}:{(94,1),(131,1),(145,1),(147,1),(179,1),(182,1),(185,1),(206,1)}
       121:{3,5}:{(94,1),(95,1)}
       122:{1,2,4,5,6}:{(95,1),(96,1),(100,1),(133,1),(143,1),(148,1),(149,1),(150,1),(173,1),(185,1),(187,1),(202,1)}
       123:{1,2,5,7}:{(96,1),(97,1),(101,1),(144,1)}
       124:{2,4,5}:{(98,1),(99,1),(146,1)}
       125:{3,4,5,6}:{(99,1),(100,1),(136,1),(148,1),(150,1),(151,1)}
       126:{1,4,5,7}:{(100,1),(101,1),(137,1),(151,1)}
       127:{2,4,5,7}:{(102,1),(115,1),(152,1),(153,1),(167,1)}
       128:{2,3,5,6}:{(102,1),(106,1),(153,1),(158,1),(190,1)}
       129:{1,2,3,7}:{(103,1),(118,1),(155,1),(209,1)}
       130:{2,3,4,7}:{(103,1),(104,1),(107,1),(119,1),(155,1),(156,1)}
       131:{1,3,4,7}:{(104,1),(120,1),(155,1),(157,1),(200,1),(209,1)}
       132:{3,5,7}:{(104,1),(105,1),(121,1),(158,1)}
       133:{1,2,4,6}:{(105,1),(106,1),(109,1),(153,1),(158,1),(160,1),(192,1),(194,1)}
       134:{1,2,5,6,7}:{(106,1),(110,1),(123,1),(154,1),(159,1),(162,1),(208,1)}
       135:{2,4,5,7}:{(107,1),(108,1),(111,1),(124,1),(156,1),(160,1)}
       136:{3,4,6}:{(108,1),(109,1),(112,1),(158,1),(160,1)}
       137:{1,4,6,7}:{(109,1),(110,1),(126,1),(161,1)}
       138:{2,5,6}:{(111,1),(112,1),(160,1)}
       139:{3,5,6,7}:{(112,1),(113,1),(161,1),(162,1)}
       140:{1,2,3,5}:{(114,1),(118,1),(163,1),(168,1),(197,1)}
       141:{2,3,4}:{(114,1),(163,1)}
       142:{3,4,5}:{(115,1),(121,1),(165,1),(166,1)}
       143:{2,4,6}:{(115,1),(116,1),(166,1),(167,1)}
       144:{2,3,5,7}:{(116,1),(117,1),(123,1),(167,1),(171,1)}
       145:{1,2,4,6}:{(118,1),(119,1),(120,1),(155,1),(163,1),(168,1),(194,1)}
       146:{2,3,5}:{(119,1),(121,1),(124,1),(168,1)}
       147:{1,3,5}:{(120,1),(121,1),(165,1),(168,1)}
       148:{3,5,6}:{(121,1),(122,1),(158,1),(166,1),(171,1)}
       149:{1,2,4,5,7}:{(122,1),(123,1),(126,1),(159,1),(167,1),(171,1),(172,1),(191,1),(200,1),(201,1),(208,1)}
       150:{2,4,5,6}:{(124,1),(125,1),(160,1),(169,1),(172,1)}
       151:{3,4,5,7}:{(125,1),(126,1),(161,1),(171,1),(172,1)}
       152:{3,4,5,7}:{(127,1),(132,1),(142,1),(174,1),(175,1),(186,1),(203,1)}
       153:{2,4,6}:{(127,1),(128,1),(175,1)}
       154:{2,3,5,6,7}:{(128,1),(134,1),(144,1),(176,1),(180,1),(203,1)}
       155:{1,2,4,7}:{(129,1),(130,1),(131,1),(145,1),(177,1)}
       156:{2,3,5,7}:{(130,1),(132,1),(135,1),(146,1),(177,1),(178,1)}
       157:{1,3,5,7}:{(131,1),(132,1),(147,1),(174,1),(177,1),(179,1)}
       158:{3,6}:{(132,1),(133,1)}
       159:{1,2,4,6,7}:{(133,1),(134,1),(137,1),(149,1),(176,1),(180,1),(181,1),(204,1),(205,1)}
       160:{2,4,6}:{(135,1),(136,1),(138,1),(178,1)}
       161:{3,4,6,7}:{(136,1),(137,1),(139,1),(151,1),(180,1),(181,1)}
       162:{2,5,6,7}:{(138,1),(139,1),(181,1)}
       163:{1,2,4}:{(140,1),(141,1),(182,1)}
       164:{2,3,4,5}:{(141,1),(142,1),(146,1),(183,1),(184,1)}
       165:{1,4,5}:{(142,1),(147,1),(185,1)}
       166:{3,4,6}:{(142,1),(143,1),(148,1),(185,1),(186,1)}
       167:{2,4,7}:{(143,1),(144,1),(186,1)}
       168:{1,2,5}:{(145,1),(146,1),(147,1)}
       169:{2,3,5,6}:{(146,1),(148,1),(150,1),(178,1),(184,1),(187,1),(188,1)}
       170:{1,3,5,6}:{(147,1),(148,1),(179,1),(185,1),(187,1),(189,1),(202,1),(206,1)}
       171:{3,5,7}:{(148,1),(149,1),(180,1),(186,1)}
       172:{2,4,5,7}:{(150,1),(151,1),(181,1),(188,1)}
       173:{2,4,5,6}:{(153,1),(190,1),(191,1)}
       174:{1,4,5,7}:{(152,1),(157,1),(165,1),(192,1),(200,1),(208,1)}
       175:{3,4,6}:{(152,1),(153,1),(158,1),(190,1),(192,1)}
       176:{2,4,6,7}:{(153,1),(154,1),(167,1),(191,1),(193,1)}
       177:{1,2,5,7}:{(155,1),(156,1),(157,1),(168,1),(194,1)}
       178:{2,3,6}:{(156,1),(158,1),(160,1),(194,1)}
       179:{1,3,6}:{(157,1),(158,1),(192,1),(194,1)}
       180:{3,6,7}:{(158,1),(159,1),(171,1)}
       181:{2,4,6,7}:{(160,1),(161,1),(162,1),(172,1),(195,1)}
       182:{1,3,4}:{(163,1),(197,1)}
       183:{1,2,4,5}:{(163,1),(164,1),(165,1),(168,1),(197,1),(198,1)}
       184:{2,3,4,6}:{(164,1),(166,1),(169,1),(198,1),(199,1)}
       185:{1,4,6}:{(165,1),(166,1),(170,1),(200,1)}
       186:{3,4,7}:{(166,1),(167,1),(171,1),(200,1)}
       187:{1,2,5,6}:{(168,1),(169,1),(170,1),(194,1),(198,1),(201,1)}
       188:{2,3,5,7}:{(169,1),(171,1),(172,1),(195,1),(199,1),(201,1)}
       189:{1,3,5,7}:{(170,1),(171,1),(196,1),(200,1),(201,1),(208,1),(209,1)}
       190:{3,5,6}:{(173,1),(175,1),(202,1),(203,1)}
       191:{2,4,5,7}:{(173,1),(176,1),(203,1)}
       192:{1,4,6}:{(174,1),(175,1),(179,1),(202,1)}
       193:{3,4,6,7}:{(175,1),(176,1),(180,1),(186,1),(203,1),(204,1)}
       194:{1,2,6}:{(177,1),(178,1),(179,1)}
       195:{2,3,6,7}:{(178,1),(180,1),(181,1),(188,1),(205,1)}
       196:{1,3,6,7}:{(179,1),(180,1),(189,1),(204,1),(205,1)}
       197:{1,3,5}:{(182,1),(183,1),(206,1)}
       198:{1,2,4,6}:{(183,1),(184,1),(185,1),(187,1),(206,1),(207,1)}
       199:{2,3,4,7}:{(184,1),(186,1),(188,1),(207,1)}
       200:{1,4,7}:{(185,1),(186,1),(189,1)}
       201:{1,2,5,7}:{(187,1),(188,1),(189,1),(205,1),(207,1)}
       202:{1,5,6}:{(190,1),(192,1),(208,1)}
       203:{3,5,7}:{(190,1),(191,1),(193,1),(208,1)}
       204:{1,4,6,7}:{(192,1),(193,1),(196,1),(200,1),(208,1)}
       205:{1,2,6,7}:{(194,1),(195,1),(196,1),(201,1)}
       206:{1,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,2,4,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       208:{1,5,7}:{(202,1),(203,1),(204,1)}
       209:{1,3,7}:{(206,1),(207,1)}

1748 :  0:{1,2,3,4,7}:{(1,1),(2,1),(27,1),(78,1)}
        1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(68,1),(69,1)}
        3:{2,3,4,5,7}:{(4,1),(7,1),(20,1),(21,1),(39,1)}
        4:{1,2,4,5,7}:{(1,1),(3,1),(8,1),(9,1),(12,1),(25,1),(27,1)}
        5:{1,2,3,6}:{(1,1),(9,1)}
        6:{1,2,3,5}:{(2,1),(12,1)}
        7:{2,3,4,6}:{(3,1),(9,1),(14,1),(28,1)}
        8:{1,3,4,5,7}:{(4,1),(15,1),(20,1),(34,1),(39,1)}
        9:{1,2,4,6}:{(4,1),(5,1),(7,1),(15,1),(17,1)}
       10:{1,2,3,6,7}:{(5,1),(16,1),(18,1),(63,1),(82,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(17,1),(18,1),(19,1),(38,1),(66,1),(68,1)}
       12:{1,2,4,5}:{(6,1),(19,1),(20,1)}
       13:{2,3,4,6,7}:{(7,1),(16,1),(21,1),(39,1),(43,1),(63,1)}
       14:{2,3,5,6}:{(7,1),(17,1),(21,1),(22,1),(38,1)}
       15:{1,3,4,6}:{(8,1),(9,1),(24,1),(28,1)}
       16:{1,2,4,6,7}:{(9,1),(10,1),(13,1),(23,1),(25,1),(27,1)}
       17:{1,2,5,6}:{(9,1),(14,1),(24,1),(25,1)}
       18:{1,2,3,5,7}:{(10,1),(11,1),(25,1),(27,1),(50,1),(77,1),(78,1)}
       19:{1,2,4,6}:{(11,1),(12,1),(27,1),(28,1)}
       20:{3,4,5}:{(12,1),(28,1)}
       21:{2,3,5,7}:{(13,1),(14,1),(25,1),(32,1),(50,1)}
       22:{2,4,5,6}:{(14,1),(32,1),(33,1)}
       23:{1,3,4,6,7}:{(15,1),(16,1),(34,1),(39,1),(60,1),(63,1)}
       24:{1,3,5,6}:{(15,1),(17,1),(34,1),(35,1),(38,1)}
       25:{1,2,5,7}:{(16,1),(17,1),(21,1),(34,1)}
       26:{1,2,4,5,6}:{(17,1),(19,1),(22,1),(35,1),(37,1),(38,1),(45,1),(62,1),(66,1)}
       27:{1,2,4,7}:{(18,1),(19,1),(39,1)}
       28:{3,4,6}:{(19,1),(20,1),(38,1),(39,1)}
       29:{1,3,4,5}:{(20,1),(40,1),(42,1)}
       30:{2,3,4,5}:{(20,1),(41,1),(42,1)}
       31:{2,3,5,6,7}:{(21,1),(36,1),(43,1),(63,1),(70,1)}
       32:{2,4,5,7}:{(21,1),(22,1),(43,1),(44,1)}
       33:{3,4,5,6}:{(22,1),(38,1),(44,1),(45,1)}
       34:{1,3,5,7}:{(23,1),(24,1),(25,1),(47,1),(50,1)}
       35:{1,4,5,6}:{(24,1),(47,1),(48,1)}
       36:{1,2,5,6,7}:{(25,1),(31,1),(46,1),(49,1),(79,1),(83,1)}
       37:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(32,1),(47,1),(49,1),(50,1),(59,1),(74,1),(77,1)}
       38:{3,5,6}:{(26,1),(28,1),(50,1)}
       39:{3,4,7}:{(27,1),(28,1),(50,1)}
       40:{1,3,4,6}:{(28,1),(29,1),(51,1),(53,1),(55,1)}
       41:{2,3,4,6}:{(28,1),(30,1),(52,1),(54,1),(55,1)}
       42:{1,2,4,5}:{(29,1),(30,1),(55,1),(56,1)}
       43:{2,4,6,7}:{(31,1),(32,1),(58,1)}
       44:{3,4,5,7}:{(32,1),(33,1),(50,1),(58,1),(59,1)}
       45:{1,4,5,6}:{(33,1),(51,1),(59,1)}
       46:{1,3,5,6,7}:{(34,1),(36,1),(60,1),(63,1),(80,1)}
       47:{1,4,5,7}:{(34,1),(35,1),(60,1),(61,1)}
       48:{3,4,5,6}:{(35,1),(38,1),(61,1),(62,1)}
       49:{1,2,4,6,7}:{(36,1),(37,1),(43,1),(60,1),(63,1),(71,1),(81,1),(82,1)}
       50:{3,5,7}:{(37,1),(38,1),(39,1),(63,1)}
       51:{1,3,5,6}:{(38,1),(40,1),(45,1),(64,1),(66,1)}
       52:{2,3,5,6}:{(38,1),(41,1),(62,1),(65,1),(66,1)}
       53:{1,3,4,7}:{(39,1),(40,1),(64,1),(67,1)}
       54:{2,3,4,7}:{(39,1),(41,1),(65,1),(67,1)}
       55:{1,2,4,6}:{(40,1),(41,1),(42,1),(66,1),(67,1),(68,1)}
       56:{1,2,3,5}:{(42,1),(68,1),(69,1)}
       57:{2,4,5,6,7}:{(43,1),(70,1)}
       58:{3,4,6,7}:{(43,1),(44,1),(63,1),(70,1),(71,1)}
       59:{1,4,5,7}:{(44,1),(45,1),(64,1),(71,1)}
       60:{1,4,6,7}:{(46,1),(47,1),(73,1)}
       61:{3,4,5,7}:{(47,1),(48,1),(50,1),(73,1),(74,1)}
       62:{2,4,5,6}:{(48,1),(52,1),(74,1)}
       63:{3,6,7}:{(49,1),(50,1)}
       64:{1,3,5,7}:{(50,1),(51,1),(53,1),(59,1),(75,1),(77,1)}
       65:{2,3,5,7}:{(50,1),(52,1),(54,1),(74,1),(76,1),(77,1)}
       66:{1,2,5,6}:{(51,1),(52,1),(55,1),(77,1)}
       67:{1,2,4,7}:{(53,1),(54,1),(55,1),(77,1),(78,1)}
       68:{1,2,3,6}:{(55,1),(56,1),(78,1)}
       69:{1,2,3,4}:{(56,1)}
       70:{3,5,6,7}:{(57,1),(58,1),(79,1)}
       71:{1,4,6,7}:{(58,1),(59,1),(75,1),(79,1)}
       72:{1,4,5,6,7}:{(60,1),(80,1)}
       73:{3,4,6,7}:{(60,1),(61,1),(63,1),(80,1),(81,1)}
       74:{2,4,5,7}:{(61,1),(62,1),(65,1),(81,1)}
       75:{1,3,6,7}:{(63,1),(64,1),(71,1),(82,1)}
       76:{2,3,6,7}:{(63,1),(65,1),(81,1),(82,1)}
       77:{1,2,5,7}:{(64,1),(65,1),(66,1),(67,1),(82,1)}
       78:{1,2,3,7}:{(67,1),(68,1)}
       79:{1,5,6,7}:{(70,1),(71,1)}
       80:{3,5,6,7}:{(72,1),(73,1),(83,1)}
       81:{2,4,6,7}:{(73,1),(74,1),(76,1),(83,1)}
       82:{1,2,6,7}:{(75,1),(76,1),(77,1)}
       83:{2,5,6,7}:{(80,1),(81,1)}

1749 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(7,1),(22,1),(23,1),(46,1),(82,1)}
         2:{1,2,3,5}:{(0,1),(4,1),(7,1)}
         3:{2,3,4,5}:{(4,1),(8,1),(20,1)}
         4:{1,2,4,5}:{(2,1),(3,1),(9,1),(10,1)}
         5:{1,2,3,4,7}:{(1,1),(12,1),(14,1),(36,1),(95,1)}
         6:{1,2,3,5}:{(1,1),(11,1)}
         7:{1,2,3,6}:{(2,1),(10,1),(14,1)}
         8:{2,3,4,6}:{(3,1),(10,1),(15,1),(16,1),(34,1)}
         9:{1,3,4,5}:{(4,1),(17,1),(20,1)}
        10:{1,2,4,6}:{(4,1),(7,1),(8,1),(17,1),(18,1),(19,1)}
        11:{1,2,4,5}:{(6,1),(20,1),(22,1)}
        12:{1,2,3,5,7}:{(5,1),(6,1),(21,1),(23,1)}
        13:{1,2,3,5,6}:{(6,1),(7,1),(18,1),(22,1),(23,1),(24,1),(43,1),(52,1),(77,1),(82,1)}
        14:{1,2,3,7}:{(7,1),(19,1)}
        15:{2,3,5,6}:{(8,1),(18,1),(25,1),(26,1),(43,1)}
        16:{2,3,4,7}:{(8,1),(19,1),(26,1),(51,1)}
        17:{1,3,4,6}:{(9,1),(10,1),(27,1),(28,1),(34,1)}
        18:{1,2,5,6}:{(10,1),(15,1),(27,1),(30,1)}
        19:{1,2,4,7}:{(10,1),(14,1),(16,1),(28,1),(30,1)}
        20:{3,4,5}:{(11,1),(34,1)}
        21:{1,2,4,5,7}:{(11,1),(12,1),(33,1),(35,1),(36,1),(70,1)}
        22:{1,2,4,6}:{(11,1),(13,1),(34,1),(36,1)}
        23:{1,2,3,6}:{(12,1),(35,1)}
        24:{1,2,3,5,7}:{(13,1),(14,1),(30,1),(36,1),(37,1),(62,1),(70,1),(91,1),(95,1)}
        25:{2,4,5,6}:{(15,1),(38,1),(39,1)}
        26:{2,3,5,7}:{(15,1),(16,1),(30,1),(39,1),(40,1),(62,1)}
        27:{1,3,5,6}:{(17,1),(18,1),(41,1),(42,1),(43,1)}
        28:{1,3,4,7}:{(17,1),(19,1),(42,1),(51,1)}
        29:{1,2,4,5,6}:{(18,1),(22,1),(25,1),(41,1),(43,1),(44,1),(52,1),(54,1),(74,1),(77,1),(84,1)}
        30:{1,2,5,7}:{(18,1),(19,1),(26,1),(42,1),(45,1)}
        31:{2,3,4,5}:{(20,1),(47,1),(48,1)}
        32:{1,3,4,5}:{(20,1),(47,1),(49,1)}
        33:{3,4,5,7}:{(20,1),(21,1),(50,1),(51,1),(85,1)}
        34:{3,4,6}:{(20,1),(22,1),(43,1),(51,1)}
        35:{1,2,4,6}:{(21,1),(23,1),(50,1),(52,1)}
        36:{1,2,4,7}:{(22,1),(24,1),(51,1)}
        37:{1,2,3,6,7}:{(23,1),(24,1),(45,1),(53,1),(80,1),(101,1)}
        38:{3,4,5,6}:{(25,1),(43,1),(54,1),(55,1),(84,1)}
        39:{2,4,5,7}:{(25,1),(26,1),(55,1),(56,1)}
        40:{2,3,6,7}:{(26,1),(45,1),(56,1),(80,1)}
        41:{1,4,5,6}:{(27,1),(57,1),(58,1)}
        42:{1,3,5,7}:{(27,1),(28,1),(30,1),(58,1),(59,1),(62,1)}
        43:{3,5,6}:{(29,1),(34,1),(62,1)}
        44:{1,2,4,5,7}:{(29,1),(30,1),(36,1),(39,1),(58,1),(62,1),(63,1),(70,1),(71,1),(88,1),(91,1),(96,1)}
        45:{1,2,6,7}:{(30,1),(40,1),(59,1)}
        46:{1,2,3,4}:{(64,1)}
        47:{1,2,4,5}:{(31,1),(32,1),(64,1),(65,1)}
        48:{2,3,4,6}:{(31,1),(34,1),(60,1),(65,1),(66,1)}
        49:{1,3,4,6}:{(32,1),(34,1),(61,1),(65,1),(67,1)}
        50:{3,4,6}:{(33,1),(35,1),(68,1)}
        51:{3,4,7}:{(34,1),(36,1),(62,1)}
        52:{1,2,5,6}:{(35,1),(68,1),(70,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(37,1),(69,1),(70,1)}
        54:{1,4,5,6}:{(38,1),(61,1),(71,1)}
        55:{3,4,5,7}:{(38,1),(39,1),(62,1),(71,1),(72,1),(96,1)}
        56:{2,4,6,7}:{(39,1),(40,1),(72,1),(73,1)}
        57:{3,4,5,6}:{(41,1),(43,1),(74,1),(75,1),(84,1)}
        58:{1,4,5,7}:{(41,1),(42,1),(75,1),(76,1)}
        59:{1,3,6,7}:{(42,1),(45,1),(76,1),(80,1)}
        60:{2,3,5,6}:{(43,1),(48,1),(74,1),(77,1),(78,1)}
        61:{1,3,5,6}:{(43,1),(49,1),(54,1),(77,1),(79,1)}
        62:{3,5,7}:{(43,1),(44,1),(51,1),(80,1)}
        63:{1,2,4,6,7}:{(44,1),(45,1),(56,1),(76,1),(80,1),(81,1),(86,1),(99,1),(101,1),(102,1)}
        64:{1,2,3,5}:{(46,1),(47,1),(82,1)}
        65:{1,2,4,6}:{(47,1),(48,1),(49,1),(77,1),(82,1),(83,1)}
        66:{2,3,4,7}:{(48,1),(51,1),(78,1),(83,1)}
        67:{1,3,4,7}:{(49,1),(51,1),(79,1),(83,1)}
        68:{3,5,6}:{(50,1),(52,1),(84,1),(85,1)}
        69:{3,4,6,7}:{(50,1),(51,1),(53,1),(80,1),(85,1),(102,1)}
        70:{1,2,5,7}:{(52,1),(53,1),(85,1)}
        71:{1,4,5,7}:{(54,1),(55,1),(79,1),(86,1)}
        72:{3,4,6,7}:{(55,1),(56,1),(80,1),(86,1),(87,1),(102,1)}
        73:{2,5,6,7}:{(56,1),(87,1)}
        74:{2,4,5,6}:{(57,1),(60,1),(88,1)}
        75:{3,4,5,7}:{(57,1),(58,1),(62,1),(88,1),(89,1),(96,1)}
        76:{1,4,6,7}:{(58,1),(59,1),(89,1),(90,1)}
        77:{1,2,5,6}:{(60,1),(61,1),(65,1),(91,1)}
        78:{2,3,5,7}:{(60,1),(62,1),(66,1),(88,1),(91,1),(92,1)}
        79:{1,3,5,7}:{(61,1),(62,1),(67,1),(71,1),(91,1),(93,1)}
        80:{3,6,7}:{(62,1),(63,1)}
        81:{1,2,5,6,7}:{(63,1),(70,1),(73,1),(90,1),(94,1),(97,1),(103,1)}
        82:{1,2,3,6}:{(64,1),(65,1),(95,1)}
        83:{1,2,4,7}:{(65,1),(66,1),(67,1),(91,1),(95,1)}
        84:{4,5,6}:{(68,1),(96,1)}
        85:{3,5,7}:{(68,1),(69,1),(70,1),(96,1)}
        86:{1,4,6,7}:{(71,1),(72,1),(93,1),(97,1)}
        87:{3,5,6,7}:{(72,1),(73,1),(97,1),(98,1)}
        88:{2,4,5,7}:{(74,1),(75,1),(78,1),(99,1)}
        89:{3,4,6,7}:{(75,1),(76,1),(80,1),(99,1),(100,1),(102,1)}
        90:{1,5,6,7}:{(76,1),(100,1)}
        91:{1,2,5,7}:{(77,1),(78,1),(79,1),(83,1),(101,1)}
        92:{2,3,6,7}:{(78,1),(80,1),(99,1),(101,1)}
        93:{1,3,6,7}:{(79,1),(80,1),(86,1),(101,1)}
        94:{3,5,6,7}:{(80,1),(81,1),(85,1),(102,1)}
        95:{1,2,3,7}:{(82,1),(83,1)}
        96:{4,5,7}:{(84,1),(85,1),(102,1)}
        97:{1,5,6,7}:{(86,1),(87,1)}
        98:{4,5,6,7}:{(87,1),(102,1)}
        99:{2,4,6,7}:{(88,1),(89,1),(92,1),(103,1)}
       100:{3,5,6,7}:{(89,1),(90,1),(103,1),(104,1)}
       101:{1,2,6,7}:{(91,1),(92,1),(93,1)}
       102:{4,6,7}:{(94,1),(96,1)}
       103:{2,5,6,7}:{(99,1),(100,1)}
       104:{4,5,6,7}:{(100,1),(102,1)}

1750 :   0:{1,2,3,6,7}:{(3,1),(4,1),(44,1),(80,1),(81,1),(82,1),(83,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(42,1),(44,1),(50,1),(82,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(44,1),(54,1),(81,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(27,1),(61,1),(69,1),(72,1),(94,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(28,1),(65,1),(66,1),(90,1),(91,1),(93,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(11,1),(28,1),(60,1),(67,1)}
         6:{1,3,5,7}:{(2,1),(8,1),(12,1),(13,1),(28,1),(59,1),(70,1)}
         7:{1,2,3,5,6}:{(4,1),(14,1),(15,1),(40,1),(44,1),(77,1),(78,1),(79,1),(80,1),(83,1)}
         8:{1,2,5,7}:{(3,1),(5,1),(6,1),(15,1),(79,1),(84,1),(85,1)}
         9:{1,2,4,7}:{(4,1),(14,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(15,1),(19,1),(44,1),(49,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(75,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(15,1),(22,1),(44,1),(53,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(74,1),(95,1)}
        14:{1,2,4,6}:{(7,1),(9,1),(24,1),(25,1),(87,1),(88,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(12,1),(27,1),(68,1),(71,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(11,1),(13,1),(24,1),(27,1),(28,1),(34,1),(38,1),(65,1),(89,1),(101,1)}
        17:{3,4,7}:{(9,1),(25,1),(28,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(26,1),(32,1),(62,1),(67,1),(91,1)}
        19:{2,4,6}:{(10,1),(11,1),(33,1)}
        20:{3,4,5,7}:{(11,1),(28,1),(33,1),(34,1),(56,1),(67,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(26,1),(36,1),(62,1),(70,1),(90,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(28,1),(37,1),(38,1),(56,1),(70,1),(86,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(74,1),(75,1),(79,1)}
        25:{3,4,6}:{(14,1),(17,1),(40,1),(44,1)}
        26:{1,2,5,6,7}:{(15,1),(18,1),(21,1),(43,1),(84,1),(85,1),(99,1)}
        27:{1,2,4,6}:{(15,1),(16,1),(19,1),(22,1),(44,1),(51,1),(55,1),(83,1)}
        28:{3,5,7}:{(16,1),(17,1),(40,1),(44,1),(98,1),(104,1)}
        29:{1,3,4,7}:{(17,1),(41,1),(45,1),(47,1),(95,1),(104,1)}
        30:{2,3,4,7}:{(17,1),(42,1),(46,1),(47,1),(96,1),(104,1)}
        31:{2,4,5,6}:{(19,1),(48,1),(49,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(48,1),(50,1),(96,1)}
        33:{3,4,6}:{(19,1),(20,1),(44,1),(49,1),(51,1)}
        34:{1,4,5,7}:{(20,1),(45,1),(51,1),(74,1),(84,1),(95,1)}
        35:{1,4,5,6}:{(22,1),(52,1),(53,1)}
        36:{1,4,6,7}:{(21,1),(22,1),(52,1),(54,1),(95,1)}
        37:{3,4,6}:{(22,1),(23,1),(44,1),(53,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(46,1),(55,1),(75,1),(85,1),(96,1)}
        39:{1,2,4,5,6}:{(24,1),(27,1),(31,1),(35,1),(57,1),(58,1),(68,1),(71,1),(87,1),(88,1),(92,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(29,1),(59,1),(61,1),(63,1),(87,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(30,1),(60,1),(61,1),(64,1),(88,1),(102,1),(103,1)}
        43:{1,2,4,6,7}:{(26,1),(27,1),(32,1),(36,1),(57,1),(62,1),(69,1),(72,1),(94,1),(101,1)}
        44:{3,6}:{(27,1),(28,1)}
        45:{1,3,5,7}:{(28,1),(29,1),(34,1),(59,1),(63,1),(65,1)}
        46:{2,3,5,7}:{(28,1),(30,1),(38,1),(60,1),(64,1),(65,1)}
        47:{1,2,4,7}:{(29,1),(30,1),(61,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(31,1),(32,1),(67,1)}
        49:{3,5,6}:{(31,1),(33,1),(67,1),(68,1)}
        50:{3,4,6,7}:{(32,1),(33,1),(62,1),(67,1),(69,1),(86,1)}
        51:{1,4,6}:{(33,1),(34,1),(63,1),(68,1)}
        52:{1,4,5,7}:{(35,1),(36,1),(70,1)}
        53:{3,5,6}:{(35,1),(37,1),(70,1),(71,1)}
        54:{3,4,6,7}:{(36,1),(37,1),(62,1),(70,1),(72,1),(86,1)}
        55:{2,4,6}:{(37,1),(38,1),(64,1),(71,1)}
        56:{3,4,5}:{(40,1),(73,1),(74,1),(75,1),(98,1)}
        57:{1,2,4,5,7}:{(39,1),(43,1),(48,1),(52,1),(76,1),(84,1),(85,1),(95,1),(96,1),(99,1)}
        58:{3,5,6}:{(39,1),(40,1),(44,1),(73,1),(76,1)}
        59:{1,3,5}:{(40,1),(41,1),(74,1),(79,1),(98,1)}
        60:{2,3,5}:{(40,1),(42,1),(75,1),(79,1),(98,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(47,1),(79,1),(80,1),(83,1),(100,1)}
        62:{3,6,7}:{(43,1),(44,1),(76,1),(104,1)}
        63:{1,3,6}:{(44,1),(45,1),(51,1),(83,1)}
        64:{2,3,6}:{(44,1),(46,1),(55,1),(83,1)}
        65:{1,2,5,7}:{(45,1),(46,1),(47,1),(79,1),(83,1)}
        66:{1,2,3,7}:{(47,1),(80,1),(104,1)}
        67:{3,5,7}:{(48,1),(49,1),(50,1),(84,1)}
        68:{1,5,6}:{(49,1),(51,1),(84,1)}
        69:{1,4,6,7}:{(50,1),(51,1),(81,1),(84,1),(95,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{2,5,6}:{(53,1),(55,1),(85,1)}
        72:{2,4,6,7}:{(54,1),(55,1),(82,1),(85,1),(96,1)}
        73:{3,4,6}:{(56,1),(58,1),(86,1),(87,1),(88,1),(102,1)}
        74:{1,4,5}:{(56,1),(59,1),(87,1)}
        75:{2,4,5}:{(56,1),(60,1),(88,1)}
        76:{3,5,7}:{(57,1),(58,1),(62,1),(86,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(68,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(64,1),(71,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(66,1),(93,1),(102,1)}
        81:{1,3,6,7}:{(62,1),(63,1),(69,1),(90,1),(94,1)}
        82:{2,3,6,7}:{(62,1),(64,1),(72,1),(91,1),(94,1)}
        83:{1,2,6}:{(63,1),(64,1),(65,1)}
        84:{1,5,7}:{(67,1),(68,1),(69,1)}
        85:{2,5,7}:{(70,1),(71,1),(72,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        88:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(74,1),(75,1),(79,1),(97,1),(98,1),(100,1)}
        90:{1,3,5,7}:{(76,1),(77,1),(81,1),(84,1),(95,1),(99,1),(104,1)}
        91:{2,3,5,7}:{(76,1),(78,1),(82,1),(85,1),(96,1),(99,1),(104,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(83,1),(97,1),(99,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(98,1),(100,1)}
        94:{1,2,6,7}:{(81,1),(82,1),(83,1),(99,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,4,6}:{(87,1),(88,1),(89,1),(92,1),(101,1),(102,1)}
        98:{3,5}:{(89,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(90,1),(91,1),(92,1),(94,1),(101,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1751 :   0:{1,3,4,6,7}:{(2,1),(3,1),(14,1),(39,1),(42,1),(45,1),(70,1),(73,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(40,1),(42,1),(45,1),(71,1),(74,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(26,1),(29,1),(55,1),(56,1),(84,1),(87,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(30,1),(49,1),(85,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(8,1),(10,1),(30,1),(50,1),(86,1)}
         5:{1,3,5,6}:{(3,1),(13,1),(14,1),(36,1),(42,1)}
         6:{2,3,5,6}:{(4,1),(13,1),(15,1),(37,1),(42,1)}
         7:{1,2,3,6,7}:{(2,1),(16,1),(42,1),(70,1),(71,1),(75,1),(96,1),(101,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(4,1),(13,1),(65,1),(66,1),(95,1)}
         9:{1,4,5,7}:{(3,1),(14,1),(18,1),(89,1),(92,1)}
        10:{2,4,5,7}:{(4,1),(15,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(5,1),(22,1),(23,1),(49,1),(54,1),(78,1)}
        12:{2,3,5,6,7}:{(6,1),(22,1),(24,1),(50,1),(54,1),(79,1)}
        13:{1,2,5,6}:{(5,1),(6,1),(8,1),(26,1),(52,1),(53,1)}
        14:{1,4,6}:{(5,1),(9,1),(27,1)}
        15:{2,4,6}:{(6,1),(10,1),(28,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(25,1),(29,1),(30,1),(63,1),(78,1),(79,1),(88,1),(100,1)}
        17:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(26,1),(29,1),(30,1),(31,1),(32,1),(57,1),(63,1),(97,1),(98,1)}
        18:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(49,1),(77,1),(80,1)}
        19:{3,4,5,7}:{(10,1),(28,1),(30,1),(32,1),(50,1),(77,1),(80,1)}
        20:{1,4,5,6}:{(14,1),(33,1),(36,1)}
        21:{2,4,5,6}:{(15,1),(34,1),(37,1)}
        22:{1,2,5,6,7}:{(11,1),(12,1),(13,1),(38,1),(65,1),(66,1),(91,1)}
        23:{1,4,6,7}:{(11,1),(14,1),(33,1),(39,1),(89,1)}
        24:{2,4,6,7}:{(12,1),(15,1),(34,1),(40,1),(90,1)}
        25:{1,2,3,5,6}:{(13,1),(16,1),(41,1),(42,1),(68,1),(69,1),(72,1),(75,1),(95,1),(96,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(42,1),(43,1),(44,1),(75,1)}
        27:{3,4,6}:{(14,1),(18,1),(36,1),(42,1),(43,1)}
        28:{3,4,6}:{(15,1),(19,1),(37,1),(42,1),(44,1)}
        29:{1,2,4,7}:{(16,1),(41,1),(45,1),(89,1),(90,1),(103,1)}
        30:{3,5,7}:{(17,1),(42,1),(45,1),(72,1),(101,1),(102,1)}
        31:{2,4,5,7}:{(18,1),(43,1),(47,1),(65,1),(90,1),(93,1)}
        32:{1,4,5,7}:{(19,1),(44,1),(46,1),(66,1),(89,1),(92,1)}
        33:{1,4,5,7}:{(20,1),(23,1),(49,1)}
        34:{2,4,5,7}:{(21,1),(24,1),(50,1)}
        35:{1,2,4,5,6}:{(20,1),(21,1),(26,1),(48,1),(51,1),(52,1),(53,1),(57,1),(81,1),(82,1),(83,1)}
        36:{3,5,6}:{(20,1),(27,1),(49,1),(52,1)}
        37:{3,5,6}:{(21,1),(28,1),(50,1),(53,1)}
        38:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(26,1),(48,1),(54,1),(55,1),(56,1),(84,1),(97,1)}
        39:{3,4,6,7}:{(23,1),(27,1),(49,1),(54,1),(55,1),(77,1)}
        40:{3,4,6,7}:{(24,1),(28,1),(50,1),(54,1),(56,1),(77,1)}
        41:{1,2,4,6}:{(25,1),(29,1),(57,1),(58,1),(81,1),(82,1)}
        42:{3,6}:{(26,1),(30,1)}
        43:{2,4,6}:{(27,1),(31,1),(52,1),(60,1)}
        44:{1,4,6}:{(28,1),(32,1),(53,1),(59,1)}
        45:{3,4,7}:{(29,1),(30,1),(58,1),(104,1)}
        46:{1,3,5,7}:{(30,1),(32,1),(59,1),(61,1),(63,1),(85,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(60,1),(62,1),(63,1),(86,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(38,1),(64,1),(65,1),(66,1),(89,1),(90,1),(91,1)}
        49:{3,5,7}:{(33,1),(36,1),(39,1),(65,1)}
        50:{3,5,7}:{(34,1),(37,1),(40,1),(66,1)}
        51:{3,5,6}:{(35,1),(42,1),(64,1),(67,1),(72,1)}
        52:{2,5,6}:{(36,1),(43,1),(65,1)}
        53:{1,5,6}:{(37,1),(44,1),(66,1)}
        54:{3,6,7}:{(38,1),(42,1),(64,1),(101,1)}
        55:{2,4,6,7}:{(39,1),(43,1),(65,1),(71,1),(90,1)}
        56:{1,4,6,7}:{(40,1),(44,1),(66,1),(70,1),(89,1)}
        57:{1,2,4,5}:{(41,1),(72,1),(92,1),(93,1),(95,1)}
        58:{3,4,6}:{(41,1),(42,1),(45,1),(72,1)}
        59:{1,3,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{2,3,6}:{(42,1),(43,1),(47,1),(75,1)}
        61:{1,3,4,7}:{(45,1),(46,1),(73,1),(76,1),(89,1),(101,1)}
        62:{2,3,4,7}:{(45,1),(47,1),(74,1),(76,1),(90,1),(101,1)}
        63:{1,2,5,7}:{(46,1),(47,1),(75,1),(76,1),(95,1)}
        64:{3,5,7}:{(48,1),(51,1),(54,1),(77,1)}
        65:{2,5,7}:{(49,1),(52,1),(55,1)}
        66:{1,5,7}:{(50,1),(53,1),(56,1)}
        67:{3,4,6}:{(51,1),(77,1),(80,1),(81,1),(82,1),(99,1)}
        68:{1,3,5,6}:{(51,1),(53,1),(59,1),(78,1),(81,1),(83,1),(85,1),(99,1)}
        69:{2,3,5,6}:{(51,1),(52,1),(60,1),(79,1),(82,1),(83,1),(86,1),(99,1)}
        70:{1,3,6,7}:{(54,1),(56,1),(59,1),(78,1),(84,1)}
        71:{2,3,6,7}:{(54,1),(55,1),(60,1),(79,1),(84,1)}
        72:{3,5}:{(57,1),(58,1)}
        73:{1,3,4,6}:{(58,1),(59,1),(61,1),(81,1),(85,1),(87,1),(99,1),(104,1)}
        74:{2,3,4,6}:{(58,1),(60,1),(62,1),(82,1),(86,1),(87,1),(99,1),(104,1)}
        75:{1,2,6}:{(59,1),(60,1),(63,1)}
        76:{1,2,4,7}:{(61,1),(62,1),(63,1),(87,1),(88,1)}
        77:{3,4,7}:{(64,1),(67,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(66,1),(68,1),(70,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(69,1),(71,1),(90,1),(91,1),(101,1)}
        80:{3,4,5}:{(67,1),(72,1),(92,1),(93,1),(102,1)}
        81:{1,4,6}:{(67,1),(68,1),(89,1),(92,1)}
        82:{2,4,6}:{(67,1),(69,1),(90,1),(93,1)}
        83:{1,2,5,6}:{(68,1),(69,1),(75,1),(91,1),(94,1),(95,1)}
        84:{1,2,6,7}:{(70,1),(71,1),(75,1),(91,1)}
        85:{1,3,5}:{(72,1),(73,1),(92,1),(95,1),(102,1)}
        86:{2,3,5}:{(72,1),(74,1),(93,1),(95,1),(102,1)}
        87:{1,2,4,6}:{(73,1),(74,1),(75,1),(76,1),(95,1),(96,1),(103,1)}
        88:{1,2,3,7}:{(76,1),(96,1),(101,1)}
        89:{1,4,7}:{(77,1),(78,1),(81,1)}
        90:{2,4,7}:{(77,1),(79,1),(82,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(83,1),(84,1),(97,1)}
        92:{1,4,5}:{(80,1),(81,1),(85,1)}
        93:{2,4,5}:{(80,1),(82,1),(86,1)}
        94:{1,2,4,6}:{(81,1),(82,1),(83,1),(97,1),(98,1),(99,1)}
        95:{1,2,5}:{(85,1),(86,1),(87,1)}
        96:{1,2,3,6}:{(87,1),(88,1),(99,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(94,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
        99:{3,6}:{(94,1),(101,1),(102,1)}
       100:{1,2,3,5}:{(95,1),(96,1),(102,1),(103,1)}
       101:{3,7}:{(97,1),(99,1)}
       102:{3,5}:{(98,1),(99,1),(104,1)}
       103:{1,2,4}:{(100,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1752 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(7,1),(18,1),(20,1),(23,1),(46,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(7,1)}
         3:{2,3,4,5}:{(6,1),(8,1),(19,1)}
         4:{1,2,3,5}:{(1,1),(10,1)}
         5:{1,2,3,4,7}:{(1,1),(12,1),(14,1),(36,1),(63,1)}
         6:{1,2,4,5}:{(2,1),(3,1),(9,1),(13,1)}
         7:{1,2,3,6}:{(2,1),(13,1),(14,1)}
         8:{2,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(33,1)}
         9:{1,3,4,5}:{(6,1),(17,1),(19,1)}
        10:{1,2,4,5}:{(4,1),(19,1),(20,1)}
        11:{1,2,3,5,6}:{(4,1),(7,1),(20,1),(22,1),(23,1),(24,1),(46,1),(49,1),(54,1),(79,1)}
        12:{1,2,3,5,7}:{(4,1),(5,1),(21,1),(23,1)}
        13:{1,2,4,6}:{(6,1),(7,1),(8,1),(17,1),(24,1),(25,1)}
        14:{1,2,3,7}:{(7,1),(25,1)}
        15:{2,3,5,6}:{(8,1),(24,1),(26,1),(27,1),(49,1)}
        16:{2,3,4,7}:{(8,1),(25,1),(27,1),(50,1)}
        17:{1,3,4,6}:{(9,1),(13,1),(28,1),(29,1),(33,1)}
        18:{1,2,3,4}:{(30,1)}
        19:{3,4,5}:{(10,1),(33,1)}
        20:{1,2,4,6}:{(10,1),(11,1),(33,1),(36,1)}
        21:{1,2,4,5,7}:{(10,1),(12,1),(34,1),(36,1),(37,1),(72,1)}
        22:{1,2,3,5,7}:{(11,1),(14,1),(36,1),(38,1),(39,1),(63,1),(68,1),(72,1),(92,1)}
        23:{1,2,3,6}:{(12,1),(37,1)}
        24:{1,2,5,6}:{(13,1),(15,1),(28,1),(39,1)}
        25:{1,2,4,7}:{(13,1),(14,1),(16,1),(29,1),(39,1)}
        26:{2,4,5,6}:{(15,1),(40,1),(41,1)}
        27:{2,3,5,7}:{(15,1),(16,1),(39,1),(41,1),(42,1),(68,1)}
        28:{1,3,5,6}:{(17,1),(24,1),(43,1),(44,1),(49,1)}
        29:{1,3,4,7}:{(17,1),(25,1),(44,1),(50,1)}
        30:{1,2,3,5}:{(18,1),(45,1),(46,1)}
        31:{1,3,4,5}:{(19,1),(45,1),(47,1)}
        32:{2,3,4,5}:{(19,1),(45,1),(48,1)}
        33:{3,4,6}:{(19,1),(20,1),(49,1),(50,1)}
        34:{3,4,5,7}:{(19,1),(21,1),(50,1),(51,1),(84,1)}
        35:{1,2,4,5,6}:{(20,1),(24,1),(26,1),(43,1),(49,1),(52,1),(54,1),(56,1),(76,1),(79,1),(85,1)}
        36:{1,2,4,7}:{(20,1),(22,1),(50,1)}
        37:{1,2,4,6}:{(21,1),(23,1),(51,1),(54,1)}
        38:{1,2,3,6,7}:{(22,1),(23,1),(53,1),(55,1),(83,1),(101,1)}
        39:{1,2,5,7}:{(24,1),(25,1),(27,1),(44,1),(55,1)}
        40:{3,4,5,6}:{(26,1),(49,1),(56,1),(57,1),(85,1)}
        41:{2,4,5,7}:{(26,1),(27,1),(57,1),(58,1)}
        42:{2,3,6,7}:{(27,1),(55,1),(58,1),(83,1)}
        43:{1,4,5,6}:{(28,1),(59,1),(60,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(39,1),(60,1),(61,1),(68,1)}
        45:{1,2,4,5}:{(30,1),(31,1),(32,1),(62,1)}
        46:{1,2,3,6}:{(30,1),(62,1),(63,1)}
        47:{1,3,4,6}:{(31,1),(33,1),(62,1),(64,1),(65,1)}
        48:{2,3,4,6}:{(32,1),(33,1),(62,1),(66,1),(67,1)}
        49:{3,5,6}:{(33,1),(35,1),(68,1)}
        50:{3,4,7}:{(33,1),(36,1),(68,1)}
        51:{3,4,6}:{(34,1),(37,1),(70,1)}
        52:{1,2,4,5,7}:{(35,1),(36,1),(39,1),(41,1),(60,1),(68,1),(71,1),(72,1),(73,1),(89,1),(92,1),(96,1)}
        53:{1,2,4,6,7}:{(36,1),(37,1),(38,1),(69,1),(72,1)}
        54:{1,2,5,6}:{(37,1),(70,1),(72,1)}
        55:{1,2,6,7}:{(39,1),(42,1),(61,1)}
        56:{1,4,5,6}:{(40,1),(64,1),(73,1)}
        57:{3,4,5,7}:{(40,1),(41,1),(68,1),(73,1),(74,1),(96,1)}
        58:{2,4,6,7}:{(41,1),(42,1),(74,1),(75,1)}
        59:{3,4,5,6}:{(43,1),(49,1),(76,1),(77,1),(85,1)}
        60:{1,4,5,7}:{(43,1),(44,1),(77,1),(78,1)}
        61:{1,3,6,7}:{(44,1),(55,1),(78,1),(83,1)}
        62:{1,2,4,6}:{(45,1),(46,1),(47,1),(48,1),(79,1),(80,1)}
        63:{1,2,3,7}:{(46,1),(80,1)}
        64:{1,3,5,6}:{(47,1),(49,1),(56,1),(79,1),(81,1)}
        65:{1,3,4,7}:{(47,1),(50,1),(80,1),(81,1)}
        66:{2,3,5,6}:{(48,1),(49,1),(76,1),(79,1),(82,1)}
        67:{2,3,4,7}:{(48,1),(50,1),(80,1),(82,1)}
        68:{3,5,7}:{(49,1),(50,1),(52,1),(83,1)}
        69:{3,4,6,7}:{(50,1),(51,1),(53,1),(83,1),(84,1),(102,1)}
        70:{3,5,6}:{(51,1),(54,1),(84,1),(85,1)}
        71:{1,2,4,6,7}:{(52,1),(55,1),(58,1),(78,1),(83,1),(86,1),(87,1),(99,1),(101,1),(102,1)}
        72:{1,2,5,7}:{(53,1),(54,1),(84,1)}
        73:{1,4,5,7}:{(56,1),(57,1),(81,1),(87,1)}
        74:{3,4,6,7}:{(57,1),(58,1),(83,1),(87,1),(88,1),(102,1)}
        75:{2,5,6,7}:{(58,1),(88,1)}
        76:{2,4,5,6}:{(59,1),(66,1),(89,1)}
        77:{3,4,5,7}:{(59,1),(60,1),(68,1),(89,1),(90,1),(96,1)}
        78:{1,4,6,7}:{(60,1),(61,1),(90,1),(91,1)}
        79:{1,2,5,6}:{(62,1),(64,1),(66,1),(92,1)}
        80:{1,2,4,7}:{(62,1),(63,1),(65,1),(67,1),(92,1)}
        81:{1,3,5,7}:{(64,1),(65,1),(68,1),(73,1),(92,1),(93,1)}
        82:{2,3,5,7}:{(66,1),(67,1),(68,1),(89,1),(92,1),(94,1)}
        83:{3,6,7}:{(68,1),(71,1)}
        84:{3,5,7}:{(69,1),(70,1),(72,1),(96,1)}
        85:{4,5,6}:{(70,1),(96,1)}
        86:{1,2,5,6,7}:{(71,1),(72,1),(75,1),(91,1),(95,1),(97,1),(103,1)}
        87:{1,4,6,7}:{(73,1),(74,1),(93,1),(97,1)}
        88:{3,5,6,7}:{(74,1),(75,1),(97,1),(98,1)}
        89:{2,4,5,7}:{(76,1),(77,1),(82,1),(99,1)}
        90:{3,4,6,7}:{(77,1),(78,1),(83,1),(99,1),(100,1),(102,1)}
        91:{1,5,6,7}:{(78,1),(100,1)}
        92:{1,2,5,7}:{(79,1),(80,1),(81,1),(82,1),(101,1)}
        93:{1,3,6,7}:{(81,1),(83,1),(87,1),(101,1)}
        94:{2,3,6,7}:{(82,1),(83,1),(99,1),(101,1)}
        95:{3,5,6,7}:{(83,1),(84,1),(86,1),(102,1)}
        96:{4,5,7}:{(84,1),(85,1),(102,1)}
        97:{1,5,6,7}:{(87,1),(88,1)}
        98:{4,5,6,7}:{(88,1),(102,1)}
        99:{2,4,6,7}:{(89,1),(90,1),(94,1),(103,1)}
       100:{3,5,6,7}:{(90,1),(91,1),(103,1),(104,1)}
       101:{1,2,6,7}:{(92,1),(93,1),(94,1)}
       102:{4,6,7}:{(95,1),(96,1)}
       103:{2,5,6,7}:{(99,1),(100,1)}
       104:{4,5,6,7}:{(100,1),(102,1)}

1753 :   0:{2,4,5,6,7}:{(1,1),(9,1),(195,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(3,1),(202,1)}
         2:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(32,1),(193,1)}
         3:{1,5,6,7}:{(1,1),(8,1),(206,1)}
         4:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(28,1),(32,1),(163,1)}
         5:{3,4,5,6}:{(7,1),(11,1),(12,1),(37,1),(168,1),(193,1)}
         6:{2,3,4,5,7}:{(13,1),(14,1),(28,1),(62,1),(72,1),(75,1),(107,1),(122,1),(158,1),(162,1)}
         7:{3,4,5,7}:{(2,1),(5,1),(15,1),(16,1),(45,1)}
         8:{1,4,6,7}:{(2,1),(3,1),(15,1),(17,1),(200,1)}
         9:{2,4,6,7}:{(2,1),(4,1),(16,1),(181,1)}
        10:{1,2,5,6,7}:{(3,1),(4,1),(19,1),(20,1),(44,1),(86,1),(138,1)}
        11:{1,4,5,6}:{(5,1),(15,1),(21,1),(183,1),(200,1)}
        12:{2,4,5,6}:{(5,1),(16,1),(22,1),(148,1),(181,1)}
        13:{2,3,4,6}:{(6,1),(22,1),(24,1),(53,1),(134,1),(179,1),(181,1)}
        14:{1,2,4,5,7}:{(6,1),(24,1),(25,1),(44,1),(56,1),(83,1),(94,1),(97,1)}
        15:{1,4,5,7}:{(7,1),(8,1),(11,1),(27,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(12,1),(28,1)}
        17:{1,3,6,7}:{(8,1),(27,1),(30,1),(32,1),(191,1)}
        18:{2,3,4,6,7}:{(9,1),(13,1),(28,1),(31,1),(32,1),(62,1),(64,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(29,1),(30,1),(32,1),(33,1),(64,1),(159,1)}
        20:{1,3,5,6,7}:{(10,1),(32,1),(33,1),(61,1),(66,1),(113,1)}
        21:{1,3,5,6}:{(11,1),(27,1),(34,1),(35,1),(37,1),(165,1),(191,1)}
        22:{2,3,5,6}:{(12,1),(13,1),(28,1),(36,1),(37,1),(112,1),(122,1)}
        23:{1,2,4,5,6}:{(11,1),(12,1),(29,1),(35,1),(36,1),(37,1),(67,1),(70,1),(71,1),(112,1),(118,1),(159,1)}
        24:{1,2,4,6}:{(13,1),(14,1),(36,1),(38,1),(71,1)}
        25:{1,3,5,7}:{(14,1),(38,1),(40,1),(74,1),(158,1)}
        26:{1,3,4,5}:{(34,1),(41,1),(72,1),(127,1),(165,1)}
        27:{1,3,5,7}:{(15,1),(17,1),(21,1),(42,1),(43,1),(45,1)}
        28:{2,3,5,7}:{(16,1),(18,1),(22,1),(44,1),(45,1),(86,1)}
        29:{1,2,4,5,7}:{(15,1),(16,1),(19,1),(23,1),(43,1),(44,1),(45,1),(49,1),(82,1),(83,1),(86,1)}
        30:{1,2,6,7}:{(17,1),(43,1),(46,1),(176,1)}
        31:{1,2,4,6,7}:{(18,1),(24,1),(44,1),(47,1),(83,1)}
        32:{3,6,7}:{(19,1),(45,1),(179,1)}
        33:{1,4,6,7}:{(20,1),(48,1),(49,1),(83,1),(135,1)}
        34:{1,3,4,6}:{(21,1),(26,1),(42,1),(50,1),(53,1)}
        35:{1,2,5,6}:{(21,1),(43,1),(50,1),(51,1),(142,1),(176,1)}
        36:{1,2,5,6}:{(22,1),(24,1),(44,1),(52,1),(97,1)}
        37:{3,5,6}:{(23,1),(45,1),(53,1),(144,1),(179,1)}
        38:{1,3,6}:{(24,1),(25,1),(179,1)}
        39:{1,2,3,5,7}:{(25,1),(54,1),(56,1),(97,1),(99,1)}
        40:{1,3,4,7}:{(25,1),(55,1),(56,1),(83,1),(132,1)}
        41:{1,2,4,5}:{(26,1),(50,1),(58,1),(93,1),(102,1),(142,1)}
        42:{1,3,4,7}:{(27,1),(34,1),(59,1),(62,1)}
        43:{1,2,5,7}:{(27,1),(30,1),(35,1),(59,1),(60,1)}
        44:{1,2,5,7}:{(28,1),(31,1),(36,1),(61,1)}
        45:{3,5,7}:{(29,1),(32,1),(37,1),(62,1)}
        46:{2,3,6,7}:{(30,1),(32,1),(60,1),(64,1),(157,1)}
        47:{1,3,6,7}:{(31,1),(32,1),(38,1),(61,1)}
        48:{3,4,6,7}:{(32,1),(33,1),(62,1),(64,1),(66,1),(109,1)}
        49:{1,4,5,7}:{(33,1),(66,1),(67,1)}
        50:{1,2,4,6}:{(34,1),(35,1),(41,1),(59,1),(68,1),(70,1)}
        51:{2,3,5,6}:{(35,1),(37,1),(60,1),(68,1),(70,1),(112,1),(116,1),(157,1)}
        52:{1,3,5,6}:{(36,1),(37,1),(38,1),(61,1),(71,1),(74,1)}
        53:{3,4,6}:{(37,1),(62,1),(70,1),(71,1),(72,1)}
        54:{1,2,3,6}:{(38,1),(39,1),(73,1),(125,1)}
        55:{1,3,4,6}:{(38,1),(40,1),(71,1),(73,1),(74,1),(117,1)}
        56:{1,2,4,7}:{(39,1),(40,1),(73,1),(75,1)}
        57:{1,3,4,5,7}:{(40,1),(74,1),(76,1),(77,1),(108,1),(124,1),(158,1),(168,1),(190,1),(199,1)}
        58:{2,3,5}:{(41,1),(68,1),(79,1)}
        59:{1,2,4,7}:{(42,1),(43,1),(50,1),(80,1),(82,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(46,1),(51,1),(80,1),(82,1),(86,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(47,1),(52,1),(83,1)}
        62:{3,4,7}:{(45,1),(53,1),(82,1),(83,1)}
        63:{1,2,3,6,7}:{(46,1),(47,1),(54,1),(81,1),(85,1),(151,1),(176,1),(179,1),(201,1)}
        64:{2,4,6,7}:{(46,1),(48,1),(82,1),(86,1),(134,1)}
        65:{1,3,4,6,7}:{(47,1),(48,1),(55,1),(83,1),(85,1),(87,1),(132,1),(135,1),(179,1)}
        66:{3,5,7}:{(48,1),(49,1),(86,1),(88,1)}
        67:{1,4,5,6}:{(49,1),(88,1),(135,1)}
        68:{2,3,6}:{(50,1),(58,1),(80,1)}
        69:{1,2,3,5,6}:{(51,1),(52,1),(54,1),(81,1),(90,1),(92,1),(97,1),(138,1),(142,1),(144,1),(149,1),(176,1),(179,1),(184,1)}
        70:{2,4,6}:{(51,1),(53,1),(82,1),(93,1)}
        71:{1,4,6}:{(52,1),(53,1),(83,1),(94,1)}
        72:{3,4,5}:{(53,1),(93,1),(94,1),(144,1)}
        73:{1,2,4,6}:{(54,1),(55,1),(56,1),(96,1),(97,1)}
        74:{1,3,5}:{(55,1),(94,1),(97,1),(144,1)}
        75:{2,3,4,7}:{(56,1),(96,1),(99,1),(132,1),(188,1)}
        76:{1,2,4,5,7}:{(56,1),(57,1),(97,1),(99,1),(100,1),(148,1),(150,1),(188,1)}
        77:{1,3,4,6}:{(57,1),(98,1),(100,1),(135,1),(179,1),(186,1),(200,1)}
        78:{1,2,3,5}:{(58,1),(90,1),(102,1),(142,1),(152,1)}
        79:{2,3,4}:{(58,1),(102,1)}
        80:{2,3,7}:{(59,1),(68,1)}
        81:{1,2,3,5,7}:{(60,1),(61,1),(63,1),(69,1),(104,1),(106,1),(111,1),(156,1),(158,1),(172,1),(198,1)}
        82:{2,4,7}:{(60,1),(62,1),(70,1)}
        83:{1,4,7}:{(61,1),(62,1),(71,1)}
        84:{3,4,5,7}:{(62,1),(66,1),(72,1),(107,1),(108,1),(109,1),(158,1)}
        85:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(73,1),(106,1),(110,1),(111,1),(159,1),(207,1)}
        86:{2,5,7}:{(64,1),(66,1),(112,1)}
        87:{1,3,5,7}:{(65,1),(66,1),(74,1),(108,1),(111,1),(113,1),(158,1)}
        88:{3,5,6}:{(66,1),(67,1),(109,1),(112,1)}
        89:{1,4,5,6,7}:{(67,1),(114,1),(161,1)}
        90:{1,2,3,6}:{(68,1),(78,1),(104,1),(115,1),(173,1)}
        91:{2,3,4,6}:{(68,1),(70,1),(79,1),(105,1),(115,1),(116,1),(117,1),(157,1)}
        92:{1,2,4,6}:{(69,1),(70,1),(71,1),(106,1),(117,1),(118,1),(171,1),(197,1)}
        93:{2,4,5}:{(70,1),(72,1),(116,1)}
        94:{1,4,5}:{(71,1),(72,1),(74,1)}
        95:{3,4,5,6}:{(72,1),(109,1),(119,1),(120,1),(121,1),(169,1)}
        96:{2,3,4,6}:{(73,1),(75,1),(117,1),(122,1),(125,1),(171,1)}
        97:{1,2,5}:{(73,1),(74,1),(122,1)}
        98:{1,3,5,6}:{(74,1),(77,1),(120,1),(123,1),(124,1),(169,1),(206,1)}
        99:{2,3,5,7}:{(75,1),(76,1),(122,1),(125,1),(158,1)}
       100:{1,2,4,6}:{(76,1),(77,1),(123,1),(125,1),(171,1)}
       101:{1,3,4,6,7}:{(77,1),(124,1),(126,1),(161,1),(194,1),(199,1),(207,1)}
       102:{1,2,4}:{(78,1),(79,1),(127,1)}
       103:{2,3,4,5}:{(79,1),(116,1),(128,1),(129,1),(168,1)}
       104:{1,2,3,7}:{(80,1),(90,1),(130,1),(189,1)}
       105:{2,3,4,7}:{(80,1),(82,1),(91,1),(130,1),(131,1),(132,1)}
       106:{1,2,4,7}:{(81,1),(82,1),(83,1),(92,1),(132,1),(188,1),(205,1)}
       107:{2,4,5,7}:{(82,1),(84,1),(86,1),(93,1),(131,1),(134,1)}
       108:{1,4,5,7}:{(83,1),(84,1),(87,1),(94,1),(135,1)}
       109:{3,4,6}:{(84,1),(88,1),(134,1),(135,1),(179,1)}
       110:{2,3,4,6,7}:{(85,1),(96,1),(132,1),(137,1),(151,1),(179,1),(181,1),(188,1),(203,1)}
       111:{1,2,5,7}:{(85,1),(86,1),(87,1),(97,1),(137,1),(138,1),(209,1)}
       112:{2,5,6}:{(86,1),(88,1),(134,1)}
       113:{1,3,5,6}:{(87,1),(88,1),(135,1),(138,1),(179,1)}
       114:{3,5,6,7}:{(88,1),(89,1),(136,1),(139,1)}
       115:{1,2,4,6}:{(90,1),(91,1),(102,1),(130,1),(141,1),(142,1),(176,1)}
       116:{2,3,5}:{(91,1),(93,1),(142,1),(144,1)}
       117:{3,4,6}:{(92,1),(132,1),(144,1),(179,1)}
       118:{1,2,4,5}:{(92,1),(93,1),(94,1),(97,1),(142,1),(144,1),(148,1),(183,1)}
       119:{2,4,5,6}:{(93,1),(95,1),(134,1),(143,1),(146,1)}
       120:{1,4,5,6}:{(94,1),(95,1),(98,1),(135,1),(147,1)}
       121:{3,4,5,7}:{(95,1),(136,1),(146,1),(147,1),(187,1)}
       122:{2,3,5}:{(96,1),(97,1),(144,1),(148,1)}
       123:{1,2,5,6}:{(97,1),(98,1),(100,1),(149,1),(150,1)}
       124:{1,3,5,7}:{(98,1),(101,1),(147,1),(150,1),(187,1),(209,1)}
       125:{2,3,6}:{(99,1),(100,1),(179,1)}
       126:{1,2,4,6,7}:{(100,1),(101,1),(150,1),(151,1),(188,1)}
       127:{1,3,4}:{(102,1),(152,1)}
       128:{1,2,4,5}:{(102,1),(103,1),(142,1),(152,1),(153,1),(183,1)}
       129:{2,3,4,6}:{(103,1),(143,1),(153,1),(154,1),(186,1)}
       130:{1,2,4,7}:{(104,1),(105,1),(115,1),(155,1),(156,1)}
       131:{2,3,5,7}:{(105,1),(107,1),(116,1),(156,1),(157,1),(158,1)}
       132:{3,4,7}:{(106,1),(117,1),(158,1)}
       133:{1,2,4,5,7}:{(106,1),(107,1),(108,1),(111,1),(118,1),(156,1),(158,1),(159,1),(162,1),(190,1)}
       134:{2,4,6}:{(107,1),(109,1),(112,1),(157,1)}
       135:{1,4,6}:{(108,1),(109,1),(113,1)}
       136:{3,4,6,7}:{(109,1),(114,1),(121,1),(160,1),(161,1),(194,1)}
       137:{2,3,5,7}:{(110,1),(111,1),(122,1),(158,1),(162,1),(163,1),(208,1)}
       138:{1,2,5,6}:{(111,1),(112,1),(113,1),(159,1),(163,1),(206,1)}
       139:{2,5,6,7}:{(112,1),(114,1),(160,1)}
       140:{1,3,5,6,7}:{(113,1),(114,1),(124,1),(161,1),(164,1),(194,1)}
       141:{1,3,4,6}:{(115,1),(117,1),(127,1),(155,1),(165,1),(173,1),(191,1),(197,1)}
       142:{1,2,5}:{(115,1),(116,1),(165,1)}
       143:{2,3,5,6}:{(116,1),(119,1),(129,1),(157,1),(166,1),(167,1),(169,1)}
       144:{3,5}:{(117,1),(118,1)}
       145:{1,2,4,5,6}:{(118,1),(119,1),(120,1),(123,1),(159,1),(166,1),(169,1),(170,1),(171,1),(195,1),(197,1),(206,1)}
       146:{2,4,5,7}:{(119,1),(121,1),(160,1),(167,1)}
       147:{1,4,5,7}:{(120,1),(121,1),(124,1),(161,1)}
       148:{2,4,5}:{(122,1),(168,1),(171,1)}
       149:{2,3,5,6}:{(122,1),(123,1),(125,1),(169,1),(171,1),(172,1)}
       150:{1,2,5,7}:{(123,1),(124,1),(126,1),(172,1)}
       151:{2,3,6,7}:{(125,1),(126,1),(172,1),(194,1)}
       152:{1,3,5}:{(127,1),(128,1),(173,1)}
       153:{1,2,4,6}:{(128,1),(129,1),(166,1),(173,1),(174,1),(197,1)}
       154:{2,3,4,7}:{(129,1),(167,1),(174,1),(199,1)}
       155:{1,3,4,7}:{(130,1),(132,1),(141,1),(175,1),(189,1),(205,1)}
       156:{1,2,5,7}:{(130,1),(131,1),(142,1),(175,1),(176,1)}
       157:{2,3,6}:{(131,1),(134,1),(176,1),(179,1)}
       158:{3,5,7}:{(132,1),(133,1),(144,1),(179,1)}
       159:{1,2,4,6}:{(133,1),(134,1),(135,1),(138,1),(176,1),(179,1),(181,1),(200,1)}
       160:{2,4,6,7}:{(134,1),(136,1),(139,1),(146,1),(177,1)}
       161:{1,4,6,7}:{(135,1),(136,1),(140,1),(147,1)}
       162:{2,4,5,7}:{(137,1),(148,1),(178,1),(181,1),(188,1)}
       163:{2,3,5,6}:{(137,1),(138,1),(179,1),(181,1),(202,1)}
       164:{1,2,5,6,7}:{(138,1),(139,1),(140,1),(150,1),(180,1),(182,1),(209,1)}
       165:{1,3,5}:{(141,1),(142,1),(144,1),(183,1)}
       166:{1,2,5,6}:{(142,1),(143,1),(153,1),(176,1),(184,1),(185,1)}
       167:{2,3,5,7}:{(143,1),(146,1),(154,1),(177,1),(185,1),(187,1)}
       168:{3,4,5}:{(144,1),(148,1),(183,1),(186,1)}
       169:{3,5,6}:{(144,1),(145,1),(179,1),(186,1),(187,1)}
       170:{1,2,4,5,7}:{(145,1),(146,1),(147,1),(150,1),(180,1),(185,1),(187,1),(188,1),(204,1),(205,1),(209,1)}
       171:{2,4,6}:{(148,1),(149,1),(186,1),(188,1)}
       172:{2,3,5,7}:{(149,1),(150,1),(151,1),(187,1),(188,1)}
       173:{1,3,6}:{(152,1),(153,1),(189,1)}
       174:{1,2,4,7}:{(153,1),(154,1),(185,1),(189,1),(205,1)}
       175:{1,3,5,7}:{(155,1),(156,1),(158,1),(165,1),(190,1),(191,1)}
       176:{1,2,6}:{(156,1),(157,1),(191,1)}
       177:{2,3,6,7}:{(157,1),(160,1),(167,1),(192,1),(194,1)}
       178:{3,4,5,7}:{(158,1),(162,1),(168,1),(190,1),(193,1),(199,1),(208,1)}
       179:{3,6}:{(158,1),(159,1)}
       180:{1,2,4,6,7}:{(159,1),(160,1),(161,1),(164,1),(170,1),(192,1),(194,1),(196,1),(207,1)}
       181:{2,4,6}:{(162,1),(163,1),(193,1)}
       182:{2,3,5,6,7}:{(163,1),(164,1),(172,1),(194,1),(196,1),(208,1)}
       183:{1,4,5}:{(165,1),(168,1),(197,1)}
       184:{1,3,5,6}:{(165,1),(166,1),(169,1),(173,1),(191,1),(197,1),(198,1),(206,1)}
       185:{1,2,5,7}:{(166,1),(167,1),(174,1),(192,1),(198,1)}
       186:{3,4,6}:{(168,1),(169,1),(171,1),(197,1),(199,1)}
       187:{3,5,7}:{(169,1),(170,1),(194,1),(199,1)}
       188:{2,4,7}:{(171,1),(172,1),(199,1)}
       189:{1,3,7}:{(173,1),(174,1)}
       190:{1,4,5,7}:{(175,1),(178,1),(183,1),(200,1),(205,1),(209,1)}
       191:{1,3,6}:{(175,1),(176,1),(179,1),(200,1)}
       192:{1,2,6,7}:{(176,1),(177,1),(185,1),(201,1)}
       193:{3,4,6}:{(178,1),(179,1),(181,1),(200,1),(202,1)}
       194:{3,6,7}:{(179,1),(180,1),(187,1)}
       195:{2,4,5,6}:{(181,1),(202,1),(204,1)}
       196:{2,4,6,7}:{(181,1),(182,1),(188,1),(203,1),(204,1)}
       197:{1,4,6}:{(183,1),(184,1),(186,1),(205,1)}
       198:{1,3,5,7}:{(184,1),(185,1),(187,1),(189,1),(201,1),(205,1),(209,1)}
       199:{3,4,7}:{(186,1),(187,1),(188,1),(205,1)}
       200:{1,4,6}:{(190,1),(191,1),(193,1),(206,1)}
       201:{1,3,6,7}:{(191,1),(192,1),(194,1),(198,1),(207,1)}
       202:{3,5,6}:{(193,1),(195,1),(206,1),(208,1)}
       203:{3,4,6,7}:{(193,1),(194,1),(196,1),(199,1),(207,1),(208,1)}
       204:{2,4,5,7}:{(195,1),(196,1),(208,1)}
       205:{1,4,7}:{(197,1),(198,1),(199,1)}
       206:{1,5,6}:{(200,1),(202,1),(209,1)}
       207:{1,4,6,7}:{(200,1),(201,1),(203,1),(205,1),(209,1)}
       208:{3,5,7}:{(202,1),(203,1),(204,1),(209,1)}
       209:{1,5,7}:{(206,1),(207,1),(208,1)}

1754 :   0:{2,3,4,5,7}:{(1,1),(2,1),(10,1),(38,1),(76,1),(80,1),(87,1),(122,1),(125,1),(130,1)}
         1:{1,2,4,5,7}:{(0,1),(4,1),(5,1),(20,1),(22,1),(53,1),(59,1),(63,1)}
         2:{2,3,4,6}:{(0,1),(5,1),(6,1),(64,1),(147,1),(150,1),(155,1)}
         3:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(17,1),(48,1),(76,1),(93,1)}
         4:{1,3,5,7}:{(1,1),(12,1),(13,1),(43,1),(125,1)}
         5:{1,2,4,6}:{(1,1),(2,1),(13,1),(14,1),(44,1)}
         6:{2,3,5,6}:{(2,1),(10,1),(14,1),(15,1),(45,1),(80,1),(145,1)}
         7:{2,3,5,6,7}:{(10,1),(16,1),(17,1),(18,1),(48,1),(121,1)}
         8:{2,4,5,6,7}:{(17,1),(18,1),(169,1)}
         9:{1,2,4,6,7}:{(3,1),(5,1),(19,1),(20,1),(53,1)}
        10:{2,3,5,7}:{(3,1),(6,1),(20,1),(21,1),(54,1),(120,1)}
        11:{1,2,3,5,7}:{(4,1),(22,1),(23,1),(56,1),(59,1)}
        12:{1,3,4,7}:{(4,1),(22,1),(25,1),(53,1),(98,1)}
        13:{1,3,6}:{(4,1),(5,1),(150,1)}
        14:{1,2,5,6}:{(5,1),(6,1),(20,1),(26,1),(59,1)}
        15:{2,4,5,6}:{(6,1),(21,1),(28,1),(107,1),(147,1)}
        16:{1,2,5,6,7}:{(7,1),(20,1),(29,1),(30,1),(32,1),(96,1),(120,1)}
        17:{2,4,6,7}:{(7,1),(21,1),(31,1),(147,1)}
        18:{3,5,6,7}:{(8,1),(31,1),(32,1),(189,1)}
        19:{1,3,6,7}:{(9,1),(13,1),(35,1),(48,1)}
        20:{1,2,5,7}:{(9,1),(10,1),(14,1),(35,1)}
        21:{2,4,5,7}:{(10,1),(15,1),(17,1),(37,1)}
        22:{1,2,4,7}:{(11,1),(12,1),(38,1),(40,1)}
        23:{1,2,3,6}:{(11,1),(13,1),(40,1),(79,1)}
        24:{1,3,4,5,7}:{(12,1),(39,1),(42,1),(43,1),(75,1),(85,1),(125,1),(134,1),(172,1),(179,1)}
        25:{1,3,4,6}:{(12,1),(13,1),(40,1),(43,1),(44,1),(84,1)}
        26:{1,3,5,6}:{(13,1),(14,1),(35,1),(43,1),(44,1),(45,1)}
        27:{1,2,4,5,6}:{(14,1),(15,1),(36,1),(44,1),(45,1),(46,1),(83,1),(89,1),(90,1),(91,1),(124,1),(145,1)}
        28:{3,4,5,6}:{(15,1),(37,1),(45,1),(46,1),(134,1),(171,1)}
        29:{1,3,5,6,7}:{(16,1),(35,1),(47,1),(48,1),(74,1),(92,1)}
        30:{1,2,4,6,7}:{(16,1),(17,1),(36,1),(47,1),(48,1),(49,1),(93,1),(94,1),(124,1)}
        31:{3,4,6,7}:{(17,1),(18,1),(37,1),(48,1),(49,1),(171,1)}
        32:{1,5,6,7}:{(18,1),(49,1),(202,1)}
        33:{1,2,3,6,7}:{(19,1),(23,1),(50,1),(51,1),(70,1),(105,1),(150,1),(192,1),(194,1)}
        34:{1,3,4,6,7}:{(19,1),(25,1),(50,1),(52,1),(53,1),(68,1),(98,1),(100,1),(150,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(26,1),(53,1),(54,1)}
        36:{1,2,4,5,7}:{(20,1),(21,1),(27,1),(30,1),(53,1),(54,1),(55,1),(67,1),(103,1),(104,1),(120,1)}
        37:{3,4,5,7}:{(21,1),(28,1),(31,1),(54,1),(55,1)}
        38:{2,3,4,7}:{(22,1),(56,1),(57,1),(98,1),(157,1)}
        39:{1,2,4,5,7}:{(22,1),(24,1),(56,1),(58,1),(59,1),(107,1),(108,1),(157,1)}
        40:{1,2,4,6}:{(22,1),(23,1),(25,1),(57,1),(59,1)}
        41:{1,2,3,5,6}:{(23,1),(26,1),(51,1),(59,1),(60,1),(66,1),(96,1),(106,1),(110,1),(150,1),(162,1),(164,1),(165,1),(194,1)}
        42:{1,3,4,6}:{(24,1),(58,1),(62,1),(100,1),(150,1),(158,1),(191,1)}
        43:{1,3,5}:{(25,1),(59,1),(63,1),(110,1)}
        44:{1,4,6}:{(26,1),(53,1),(63,1),(64,1)}
        45:{3,5,6}:{(27,1),(54,1),(64,1),(110,1),(150,1)}
        46:{1,4,5,6}:{(28,1),(55,1),(65,1),(159,1),(191,1)}
        47:{1,4,6,7}:{(29,1),(53,1),(67,1),(68,1),(100,1)}
        48:{3,6,7}:{(30,1),(54,1),(150,1)}
        49:{1,4,6,7}:{(31,1),(32,1),(55,1),(69,1),(191,1)}
        50:{1,2,4,6,7}:{(33,1),(34,1),(40,1),(71,1),(72,1),(73,1),(93,1),(124,1),(203,1)}
        51:{1,2,3,5,7}:{(33,1),(35,1),(41,1),(72,1),(73,1),(78,1),(125,1),(132,1),(176,1),(177,1),(183,1)}
        52:{1,3,5,7}:{(34,1),(43,1),(72,1),(74,1),(75,1),(92,1),(125,1)}
        53:{1,4,7}:{(35,1),(44,1),(76,1)}
        54:{3,5,7}:{(36,1),(45,1),(48,1),(76,1)}
        55:{1,4,5,7}:{(37,1),(46,1),(49,1),(77,1)}
        56:{2,3,5,7}:{(38,1),(39,1),(79,1),(80,1),(125,1)}
        57:{2,3,4,6}:{(38,1),(40,1),(79,1),(80,1),(84,1),(133,1)}
        58:{1,2,4,6}:{(39,1),(42,1),(79,1),(82,1),(133,1)}
        59:{1,2,5}:{(40,1),(43,1),(80,1)}
        60:{1,2,4,6}:{(41,1),(44,1),(73,1),(83,1),(84,1),(89,1),(133,1),(180,1)}
        61:{1,3,4,6,7}:{(42,1),(81,1),(85,1),(128,1),(173,1),(179,1),(203,1)}
        62:{1,3,5,6}:{(42,1),(43,1),(82,1),(85,1),(86,1),(136,1),(202,1)}
        63:{1,4,5}:{(43,1),(44,1),(87,1)}
        64:{3,4,6}:{(44,1),(45,1),(76,1),(87,1),(89,1)}
        65:{1,3,5,6}:{(45,1),(46,1),(77,1),(88,1),(90,1),(137,1),(174,1)}
        66:{2,3,5,6}:{(45,1),(78,1),(89,1),(90,1),(138,1),(143,1),(145,1),(175,1)}
        67:{1,4,5,7}:{(47,1),(91,1),(92,1)}
        68:{3,4,6,7}:{(47,1),(48,1),(76,1),(92,1),(93,1),(129,1)}
        69:{1,3,6,7}:{(48,1),(49,1),(77,1),(94,1),(174,1)}
        70:{2,3,6,7}:{(48,1),(78,1),(93,1),(94,1),(175,1)}
        71:{2,3,4,6,7}:{(50,1),(57,1),(95,1),(98,1),(105,1),(147,1),(150,1),(157,1),(190,1)}
        72:{1,2,5,7}:{(50,1),(52,1),(59,1),(95,1),(96,1),(120,1),(208,1)}
        73:{1,2,4,7}:{(51,1),(53,1),(60,1),(98,1),(103,1),(157,1),(195,1)}
        74:{1,3,5,6}:{(52,1),(96,1),(100,1),(119,1),(150,1)}
        75:{1,4,5,7}:{(52,1),(53,1),(63,1),(100,1),(101,1)}
        76:{3,4,7}:{(53,1),(54,1),(64,1),(103,1)}
        77:{1,3,5,7}:{(54,1),(55,1),(65,1),(69,1),(102,1),(104,1)}
        78:{2,3,5,7}:{(54,1),(66,1),(70,1),(103,1),(104,1),(120,1),(156,1)}
        79:{2,3,6}:{(56,1),(58,1),(150,1)}
        80:{2,3,5}:{(57,1),(59,1),(107,1),(110,1)}
        81:{1,2,4,6,7}:{(58,1),(61,1),(105,1),(108,1),(157,1)}
        82:{1,2,5,6}:{(58,1),(59,1),(62,1),(106,1),(108,1)}
        83:{1,2,4,5}:{(59,1),(60,1),(63,1),(107,1),(110,1),(116,1),(159,1),(164,1)}
        84:{3,4,6}:{(60,1),(98,1),(110,1),(150,1)}
        85:{1,3,5,7}:{(61,1),(62,1),(108,1),(113,1),(161,1),(208,1)}
        86:{1,4,5,6}:{(62,1),(63,1),(100,1),(113,1),(114,1)}
        87:{3,4,5}:{(63,1),(64,1),(110,1),(116,1)}
        88:{1,3,4,6}:{(64,1),(65,1),(102,1),(115,1),(117,1)}
        89:{2,4,6}:{(64,1),(66,1),(103,1),(116,1)}
        90:{1,2,5,6}:{(65,1),(66,1),(104,1),(117,1),(164,1),(194,1)}
        91:{1,4,5,6}:{(67,1),(100,1),(119,1)}
        92:{3,5,7}:{(67,1),(68,1),(119,1),(120,1)}
        93:{2,4,6,7}:{(68,1),(70,1),(103,1),(120,1),(155,1)}
        94:{1,2,6,7}:{(69,1),(70,1),(104,1),(194,1)}
        95:{2,3,5,7}:{(71,1),(72,1),(80,1),(121,1),(122,1),(125,1),(201,1)}
        96:{1,2,5,6}:{(72,1),(74,1),(121,1),(124,1),(145,1),(202,1)}
        97:{1,2,4,5,7}:{(72,1),(73,1),(75,1),(83,1),(122,1),(124,1),(125,1),(130,1),(172,1),(176,1)}
        98:{3,4,7}:{(73,1),(84,1),(125,1)}
        99:{1,3,5,6,7}:{(74,1),(85,1),(123,1),(128,1),(144,1),(173,1)}
       100:{1,4,6}:{(74,1),(75,1),(129,1)}
       101:{3,4,5,7}:{(75,1),(76,1),(87,1),(92,1),(125,1),(129,1),(130,1)}
       102:{1,3,4,7}:{(76,1),(77,1),(88,1),(131,1)}
       103:{2,4,7}:{(76,1),(78,1),(89,1)}
       104:{1,2,5,7}:{(77,1),(78,1),(90,1),(94,1),(131,1)}
       105:{2,3,6,7}:{(79,1),(81,1),(132,1),(173,1)}
       106:{2,3,5,6}:{(79,1),(80,1),(82,1),(132,1),(133,1),(136,1)}
       107:{2,4,5}:{(80,1),(133,1),(134,1)}
       108:{1,2,5,7}:{(81,1),(82,1),(85,1),(132,1)}
       109:{1,2,4,5,6}:{(82,1),(83,1),(86,1),(124,1),(133,1),(135,1),(136,1),(141,1),(169,1),(180,1),(185,1),(202,1)}
       110:{3,5}:{(83,1),(84,1)}
       111:{1,3,4,6}:{(84,1),(126,1),(137,1),(139,1),(174,1),(180,1),(206,1),(207,1)}
       112:{2,3,4,6}:{(84,1),(89,1),(127,1),(138,1),(139,1),(143,1),(175,1),(187,1)}
       113:{1,4,5,7}:{(85,1),(86,1),(128,1),(140,1)}
       114:{3,4,5,6}:{(86,1),(87,1),(129,1),(136,1),(140,1),(141,1)}
       115:{1,3,4,5}:{(87,1),(88,1),(137,1),(142,1),(207,1)}
       116:{2,4,5}:{(87,1),(89,1),(138,1)}
       117:{1,2,4,6}:{(88,1),(89,1),(90,1),(131,1),(142,1),(143,1)}
       118:{1,4,5,6,7}:{(91,1),(128,1),(144,1)}
       119:{3,5,6}:{(91,1),(92,1),(129,1),(145,1)}
       120:{2,5,7}:{(92,1),(93,1),(145,1)}
       121:{2,3,5,6}:{(95,1),(96,1),(147,1),(150,1),(189,1)}
       122:{2,4,5,7}:{(95,1),(107,1),(147,1),(148,1),(157,1)}
       123:{1,2,5,6,7}:{(96,1),(99,1),(108,1),(146,1),(149,1),(168,1),(208,1)}
       124:{1,2,4,6}:{(96,1),(97,1),(100,1),(147,1),(150,1),(155,1),(191,1),(194,1)}
       125:{3,5,7}:{(97,1),(98,1),(110,1),(150,1)}
       126:{1,3,4,7}:{(98,1),(111,1),(151,1),(153,1),(195,1),(209,1)}
       127:{2,3,4,7}:{(98,1),(103,1),(112,1),(152,1),(153,1),(156,1)}
       128:{1,4,6,7}:{(99,1),(100,1),(113,1),(154,1)}
       129:{3,4,6}:{(100,1),(101,1),(119,1),(150,1),(155,1)}
       130:{2,4,5,7}:{(101,1),(103,1),(116,1),(120,1),(152,1),(155,1)}
       131:{1,2,4,7}:{(102,1),(103,1),(104,1),(117,1),(156,1)}
       132:{2,3,5,7}:{(105,1),(106,1),(108,1),(157,1),(161,1)}
       133:{2,4,6}:{(106,1),(107,1),(157,1),(158,1)}
       134:{3,4,5}:{(107,1),(110,1),(158,1),(159,1)}
       135:{1,2,4,5,7}:{(108,1),(109,1),(113,1),(149,1),(157,1),(161,1),(166,1),(188,1),(195,1),(199,1),(208,1)}
       136:{3,5,6}:{(109,1),(110,1),(150,1),(158,1),(161,1)}
       137:{1,3,5}:{(110,1),(111,1),(159,1),(164,1)}
       138:{2,3,5}:{(110,1),(112,1),(116,1),(164,1)}
       139:{1,2,4,6}:{(111,1),(112,1),(153,1),(164,1),(165,1),(194,1),(200,1)}
       140:{3,4,5,7}:{(113,1),(114,1),(154,1),(161,1),(166,1)}
       141:{2,4,5,6}:{(114,1),(116,1),(155,1),(163,1),(166,1)}
       142:{1,2,4,5}:{(115,1),(116,1),(117,1),(164,1),(167,1),(200,1)}
       143:{2,3,6}:{(117,1),(156,1),(167,1)}
       144:{3,5,6,7}:{(118,1),(119,1),(154,1),(168,1)}
       145:{2,5,6}:{(119,1),(120,1),(155,1)}
       146:{2,3,5,6,7}:{(121,1),(123,1),(132,1),(170,1),(173,1),(201,1)}
       147:{2,4,6}:{(121,1),(122,1),(171,1)}
       148:{3,4,5,7}:{(122,1),(125,1),(134,1),(171,1),(172,1),(179,1),(201,1)}
       149:{1,2,4,6,7}:{(123,1),(124,1),(128,1),(135,1),(170,1),(173,1),(178,1),(203,1),(204,1)}
       150:{3,6}:{(124,1),(125,1)}
       151:{1,3,5,7}:{(125,1),(126,1),(137,1),(172,1),(174,1),(176,1)}
       152:{2,3,5,7}:{(125,1),(127,1),(130,1),(138,1),(175,1),(176,1)}
       153:{1,2,4,7}:{(126,1),(127,1),(139,1),(176,1),(177,1)}
       154:{3,4,6,7}:{(128,1),(129,1),(140,1),(144,1),(173,1),(178,1)}
       155:{2,4,6}:{(129,1),(130,1),(145,1),(175,1)}
       156:{2,3,7}:{(131,1),(143,1)}
       157:{2,4,7}:{(132,1),(133,1),(179,1)}
       158:{3,4,6}:{(133,1),(134,1),(136,1),(179,1),(180,1)}
       159:{1,4,5}:{(134,1),(137,1),(180,1)}
       160:{2,3,4,5}:{(134,1),(138,1),(181,1),(182,1),(187,1)}
       161:{3,5,7}:{(135,1),(136,1),(173,1),(179,1)}
       162:{1,3,5,6}:{(136,1),(137,1),(174,1),(180,1),(183,1),(185,1),(202,1),(206,1)}
       163:{2,3,5,6}:{(136,1),(138,1),(141,1),(175,1),(181,1),(184,1),(185,1)}
       164:{1,2,5}:{(137,1),(138,1),(139,1)}
       165:{1,2,3,6}:{(139,1),(143,1),(177,1),(186,1),(206,1)}
       166:{2,4,5,7}:{(140,1),(141,1),(178,1),(184,1)}
       167:{2,3,5}:{(142,1),(143,1),(187,1)}
       168:{2,5,6,7}:{(144,1),(145,1),(178,1)}
       169:{2,4,5,6}:{(147,1),(188,1),(189,1)}
       170:{2,4,6,7}:{(146,1),(147,1),(157,1),(188,1),(190,1)}
       171:{3,4,6}:{(147,1),(148,1),(150,1),(189,1),(191,1)}
       172:{1,4,5,7}:{(148,1),(151,1),(159,1),(191,1),(195,1),(208,1)}
       173:{3,6,7}:{(149,1),(150,1),(161,1)}
       174:{1,3,6}:{(150,1),(151,1),(191,1),(194,1)}
       175:{2,3,6}:{(150,1),(152,1),(155,1),(194,1)}
       176:{1,2,5,7}:{(151,1),(152,1),(153,1),(164,1),(194,1)}
       177:{1,2,3,7}:{(153,1),(156,1),(165,1),(209,1)}
       178:{2,4,6,7}:{(154,1),(155,1),(166,1),(168,1),(193,1)}
       179:{3,4,7}:{(157,1),(158,1),(161,1),(195,1)}
       180:{1,4,6}:{(158,1),(159,1),(162,1),(195,1)}
       181:{2,3,4,6}:{(158,1),(160,1),(163,1),(196,1),(197,1)}
       182:{1,2,4,5}:{(159,1),(160,1),(164,1),(197,1),(198,1),(200,1)}
       183:{1,3,5,7}:{(161,1),(162,1),(192,1),(195,1),(199,1),(208,1),(209,1)}
       184:{2,3,5,7}:{(161,1),(163,1),(166,1),(193,1),(196,1),(199,1)}
       185:{1,2,5,6}:{(162,1),(163,1),(164,1),(194,1),(197,1),(199,1)}
       186:{1,2,3,5}:{(164,1),(165,1),(167,1),(198,1),(200,1)}
       187:{2,3,4}:{(167,1),(200,1)}
       188:{2,4,5,7}:{(169,1),(170,1),(201,1)}
       189:{3,5,6}:{(169,1),(171,1),(201,1),(202,1)}
       190:{3,4,6,7}:{(170,1),(171,1),(173,1),(179,1),(201,1),(203,1)}
       191:{1,4,6}:{(171,1),(172,1),(174,1),(202,1)}
       192:{1,3,6,7}:{(173,1),(174,1),(183,1),(203,1),(204,1)}
       193:{2,3,6,7}:{(173,1),(175,1),(178,1),(184,1),(204,1)}
       194:{1,2,6}:{(174,1),(175,1),(176,1)}
       195:{1,4,7}:{(179,1),(180,1),(183,1)}
       196:{2,3,4,7}:{(179,1),(181,1),(184,1),(205,1)}
       197:{1,2,4,6}:{(180,1),(181,1),(182,1),(185,1),(205,1),(206,1)}
       198:{1,3,5}:{(182,1),(206,1),(207,1)}
       199:{1,2,5,7}:{(183,1),(184,1),(185,1),(204,1),(205,1)}
       200:{1,2,4}:{(186,1),(187,1),(207,1)}
       201:{3,5,7}:{(188,1),(189,1),(190,1),(208,1)}
       202:{1,5,6}:{(189,1),(191,1),(208,1)}
       203:{1,4,6,7}:{(190,1),(191,1),(192,1),(195,1),(208,1)}
       204:{1,2,6,7}:{(192,1),(193,1),(194,1),(199,1)}
       205:{1,2,4,7}:{(195,1),(196,1),(197,1),(199,1),(209,1)}
       206:{1,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,3,4}:{(198,1),(200,1)}
       208:{1,5,7}:{(201,1),(202,1),(203,1)}
       209:{1,3,7}:{(205,1),(206,1)}

1755 :   0:{1,2,3,6,7}:{(2,1),(3,1),(36,1),(44,1),(80,1),(81,1),(82,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(4,1),(13,1),(17,1),(37,1),(44,1),(49,1),(81,1),(99,1),(104,1)}
         2:{1,2,3,5,7}:{(0,1),(6,1),(7,1),(8,1),(23,1),(26,1),(54,1),(61,1),(93,1),(94,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(5,1),(7,1),(8,1),(27,1),(56,1),(67,1),(86,1),(95,1),(103,1)}
         4:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(26,1),(57,1),(66,1)}
         5:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(34,1),(38,1),(44,1),(71,1),(82,1),(100,1),(104,1)}
         6:{1,2,3,5,6}:{(2,1),(12,1),(15,1),(36,1),(39,1),(44,1),(76,1),(77,1),(78,1),(80,1)}
         7:{1,2,4,7}:{(2,1),(12,1),(13,1),(72,1),(99,1),(100,1)}
         8:{1,2,5,7}:{(3,1),(4,1),(11,1),(15,1),(76,1),(83,1),(96,1)}
         9:{2,4,5,7}:{(4,1),(16,1),(17,1),(73,1),(99,1)}
        10:{2,3,5,6}:{(4,1),(15,1),(17,1),(44,1),(46,1)}
        11:{1,3,5,7}:{(5,1),(8,1),(19,1),(20,1),(26,1),(58,1),(85,1)}
        12:{1,2,4,6}:{(6,1),(7,1),(21,1),(22,1),(89,1),(90,1)}
        13:{3,4,7}:{(7,1),(21,1),(26,1),(87,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(19,1),(22,1),(26,1),(27,1),(30,1),(51,1),(61,1),(88,1),(103,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(20,1),(27,1),(65,1),(84,1)}
        16:{3,4,5,7}:{(9,1),(26,1),(30,1),(31,1),(55,1),(66,1),(91,1)}
        17:{2,4,6}:{(9,1),(10,1),(31,1)}
        18:{2,3,5,6,7}:{(10,1),(28,1),(32,1),(64,1),(66,1),(93,1)}
        19:{1,4,5,7}:{(11,1),(33,1),(34,1),(74,1),(100,1)}
        20:{1,3,5,6}:{(11,1),(15,1),(34,1),(44,1),(68,1)}
        21:{3,4,6}:{(12,1),(13,1),(39,1),(44,1)}
        22:{1,2,4,5}:{(12,1),(39,1),(73,1),(74,1),(76,1)}
        23:{1,2,3,7}:{(36,1),(41,1),(104,1)}
        24:{2,3,4,7}:{(13,1),(37,1),(41,1),(42,1),(99,1),(104,1)}
        25:{1,3,4,7}:{(13,1),(38,1),(41,1),(43,1),(100,1),(104,1)}
        26:{3,5,7}:{(13,1),(14,1),(39,1),(44,1),(97,1),(104,1)}
        27:{1,2,4,6}:{(14,1),(15,1),(17,1),(34,1),(44,1),(48,1),(70,1),(80,1)}
        28:{1,2,5,6,7}:{(15,1),(18,1),(35,1),(45,1),(83,1),(96,1),(101,1)}
        29:{2,4,5,6}:{(17,1),(46,1),(47,1)}
        30:{1,4,5,7}:{(16,1),(43,1),(48,1),(74,1),(83,1),(100,1)}
        31:{3,4,6}:{(16,1),(17,1),(44,1),(46,1),(48,1)}
        32:{2,4,6,7}:{(17,1),(18,1),(47,1),(49,1),(99,1)}
        33:{3,4,5,7}:{(19,1),(26,1),(51,1),(52,1),(55,1),(85,1),(91,1)}
        34:{1,4,6}:{(19,1),(20,1),(52,1)}
        35:{1,3,5,6,7}:{(20,1),(28,1),(53,1),(64,1),(85,1),(94,1)}
        36:{1,2,3,6}:{(23,1),(54,1),(56,1),(102,1)}
        37:{2,3,4,6}:{(21,1),(24,1),(56,1),(57,1),(62,1),(87,1),(89,1),(102,1)}
        38:{1,3,4,6}:{(21,1),(25,1),(56,1),(58,1),(63,1),(87,1),(90,1),(102,1)}
        39:{3,5}:{(21,1),(22,1)}
        40:{1,2,4,5,6}:{(22,1),(27,1),(29,1),(50,1),(59,1),(60,1),(65,1),(84,1),(89,1),(90,1),(92,1)}
        41:{1,2,4,7}:{(23,1),(24,1),(25,1),(56,1),(61,1)}
        42:{2,3,5,7}:{(24,1),(26,1),(51,1),(57,1),(61,1),(62,1)}
        43:{1,3,5,7}:{(25,1),(26,1),(30,1),(58,1),(61,1),(63,1)}
        44:{3,6}:{(26,1),(27,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(32,1),(53,1),(60,1),(64,1),(67,1),(86,1),(95,1),(103,1)}
        46:{3,5,6}:{(29,1),(31,1),(65,1),(66,1)}
        47:{2,4,5,7}:{(29,1),(32,1),(66,1)}
        48:{1,4,6}:{(30,1),(31,1),(63,1),(65,1)}
        49:{3,4,6,7}:{(31,1),(32,1),(64,1),(66,1),(67,1),(91,1)}
        50:{1,4,5,6}:{(34,1),(68,1),(69,1)}
        51:{2,4,5,7}:{(33,1),(42,1),(70,1),(73,1),(96,1),(99,1)}
        52:{3,4,6}:{(33,1),(34,1),(44,1),(68,1),(70,1)}
        53:{1,4,6,7}:{(34,1),(35,1),(69,1),(71,1),(100,1)}
        54:{1,2,3,5}:{(36,1),(72,1),(76,1),(97,1)}
        55:{3,4,5}:{(39,1),(73,1),(74,1),(75,1),(97,1)}
        56:{1,2,4,6}:{(36,1),(37,1),(38,1),(41,1),(72,1),(76,1),(80,1)}
        57:{2,3,5}:{(37,1),(39,1),(73,1),(76,1),(97,1)}
        58:{1,3,5}:{(38,1),(39,1),(74,1),(76,1),(97,1)}
        59:{3,5,6}:{(39,1),(40,1),(44,1),(75,1),(79,1)}
        60:{1,2,4,5,7}:{(40,1),(45,1),(47,1),(69,1),(79,1),(83,1),(96,1),(99,1),(100,1),(101,1)}
        61:{1,2,5,7}:{(41,1),(42,1),(43,1),(76,1),(80,1)}
        62:{2,3,6}:{(42,1),(44,1),(70,1),(80,1)}
        63:{1,3,6}:{(43,1),(44,1),(48,1),(80,1)}
        64:{3,6,7}:{(44,1),(45,1),(79,1),(104,1)}
        65:{1,5,6}:{(46,1),(48,1),(83,1)}
        66:{3,5,7}:{(46,1),(47,1),(49,1),(83,1)}
        67:{1,4,6,7}:{(48,1),(49,1),(82,1),(83,1),(100,1)}
        68:{3,5,6}:{(50,1),(52,1),(84,1),(85,1)}
        69:{1,4,5,7}:{(50,1),(53,1),(85,1)}
        70:{2,4,6}:{(51,1),(52,1),(62,1),(84,1)}
        71:{3,4,6,7}:{(52,1),(53,1),(64,1),(85,1),(86,1),(91,1)}
        72:{1,2,4}:{(54,1),(87,1)}
        73:{2,4,5}:{(55,1),(57,1),(89,1)}
        74:{1,4,5}:{(55,1),(58,1),(90,1)}
        75:{3,4,6}:{(55,1),(59,1),(89,1),(90,1),(91,1),(102,1)}
        76:{1,2,5}:{(56,1),(57,1),(58,1)}
        77:{2,3,5,6}:{(57,1),(59,1),(62,1),(84,1),(89,1),(92,1),(93,1),(102,1)}
        78:{1,3,5,6}:{(58,1),(59,1),(63,1),(65,1),(90,1),(92,1),(94,1),(102,1)}
        79:{3,5,7}:{(59,1),(60,1),(64,1),(91,1)}
        80:{1,2,6}:{(61,1),(62,1),(63,1)}
        81:{2,3,6,7}:{(62,1),(64,1),(86,1),(93,1),(95,1)}
        82:{1,3,6,7}:{(63,1),(64,1),(67,1),(94,1),(95,1)}
        83:{1,5,7}:{(65,1),(66,1),(67,1)}
        84:{2,5,6}:{(68,1),(70,1),(96,1)}
        85:{3,5,7}:{(68,1),(69,1),(71,1),(96,1)}
        86:{2,4,6,7}:{(70,1),(71,1),(81,1),(96,1),(99,1)}
        87:{3,4}:{(72,1),(97,1)}
        88:{1,2,4,5}:{(72,1),(73,1),(74,1),(76,1),(97,1),(98,1)}
        89:{2,4,6}:{(73,1),(75,1),(77,1),(99,1)}
        90:{1,4,6}:{(74,1),(75,1),(78,1),(100,1)}
        91:{3,4,7}:{(75,1),(79,1),(99,1),(100,1),(104,1)}
        92:{1,2,5,6}:{(76,1),(77,1),(78,1),(80,1),(98,1),(101,1)}
        93:{2,3,5,7}:{(77,1),(79,1),(81,1),(96,1),(99,1),(101,1),(104,1)}
        94:{1,3,5,7}:{(78,1),(79,1),(82,1),(83,1),(100,1),(101,1),(104,1)}
        95:{1,2,6,7}:{(80,1),(81,1),(82,1),(101,1)}
        96:{2,5,7}:{(84,1),(85,1),(86,1)}
        97:{3,5}:{(87,1),(88,1),(102,1)}
        98:{1,2,4,6}:{(88,1),(89,1),(90,1),(92,1),(102,1),(103,1)}
        99:{2,4,7}:{(89,1),(91,1),(93,1)}
       100:{1,4,7}:{(90,1),(91,1),(94,1)}
       101:{1,2,5,7}:{(92,1),(93,1),(94,1),(95,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1756 :   0:{1,2,3,6,7}:{(2,1),(3,1),(42,1),(73,1),(79,1),(80,1),(81,1),(104,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(17,1),(35,1),(42,1),(46,1),(80,1),(95,1),(104,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(8,1),(25,1),(53,1),(65,1),(92,1),(93,1),(101,1)}
         3:{1,2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(26,1),(63,1),(64,1),(86,1),(87,1),(89,1)}
         4:{2,3,5,7}:{(1,1),(7,1),(9,1),(10,1),(26,1),(52,1),(54,1)}
         5:{1,2,3,5,6}:{(3,1),(11,1),(13,1),(33,1),(42,1),(70,1),(71,1),(72,1),(73,1),(81,1)}
         6:{1,3,4,6,7}:{(2,1),(12,1),(15,1),(34,1),(39,1),(42,1),(77,1),(79,1),(94,1),(104,1)}
         7:{1,2,5,7}:{(2,1),(4,1),(12,1),(13,1),(72,1),(74,1),(100,1)}
         8:{1,2,4,7}:{(3,1),(11,1),(15,1),(94,1),(95,1),(99,1)}
         9:{2,3,5,6}:{(4,1),(13,1),(17,1),(37,1),(42,1)}
        10:{2,4,5,7}:{(4,1),(17,1),(18,1),(68,1),(95,1)}
        11:{1,2,4,6}:{(5,1),(8,1),(19,1),(20,1),(83,1),(84,1)}
        12:{1,3,5,7}:{(6,1),(7,1),(22,1),(23,1),(26,1),(51,1),(90,1)}
        13:{1,2,5,6}:{(7,1),(9,1),(22,1),(25,1),(55,1),(91,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(10,1),(19,1),(23,1),(25,1),(26,1),(31,1),(59,1),(63,1),(85,1),(101,1)}
        15:{3,4,7}:{(8,1),(20,1),(26,1),(103,1)}
        16:{2,3,5,6,7}:{(9,1),(24,1),(29,1),(54,1),(60,1),(87,1)}
        17:{2,4,6}:{(9,1),(10,1),(30,1)}
        18:{3,4,5,7}:{(10,1),(26,1),(30,1),(31,1),(48,1),(54,1),(82,1)}
        19:{1,2,4,5}:{(11,1),(33,1),(67,1),(68,1),(72,1)}
        20:{3,4,6}:{(11,1),(15,1),(33,1),(42,1)}
        21:{2,4,5,6}:{(17,1),(36,1),(37,1)}
        22:{1,3,5,6}:{(12,1),(13,1),(39,1),(42,1),(76,1)}
        23:{1,4,5,7}:{(12,1),(39,1),(40,1),(67,1),(94,1)}
        24:{1,2,5,6,7}:{(13,1),(16,1),(38,1),(41,1),(74,1),(98,1),(100,1)}
        25:{1,2,4,6}:{(13,1),(14,1),(17,1),(39,1),(42,1),(47,1),(78,1),(81,1)}
        26:{3,5,7}:{(14,1),(15,1),(33,1),(42,1),(97,1),(104,1)}
        27:{1,3,4,7}:{(15,1),(34,1),(43,1),(45,1),(94,1),(104,1)}
        28:{2,3,4,7}:{(15,1),(35,1),(44,1),(45,1),(95,1),(104,1)}
        29:{2,4,6,7}:{(16,1),(17,1),(36,1),(46,1),(95,1)}
        30:{3,4,6}:{(17,1),(18,1),(37,1),(42,1),(47,1)}
        31:{1,4,5,7}:{(18,1),(43,1),(47,1),(67,1),(74,1),(94,1)}
        32:{1,2,4,5,6}:{(19,1),(21,1),(25,1),(49,1),(50,1),(55,1),(56,1),(83,1),(84,1),(88,1),(91,1)}
        33:{3,5}:{(19,1),(20,1)}
        34:{1,3,4,6}:{(20,1),(27,1),(51,1),(53,1),(61,1),(83,1),(102,1),(103,1)}
        35:{2,3,4,6}:{(20,1),(28,1),(52,1),(53,1),(62,1),(84,1),(102,1),(103,1)}
        36:{2,4,5,7}:{(21,1),(29,1),(54,1)}
        37:{3,5,6}:{(21,1),(30,1),(54,1),(55,1)}
        38:{1,3,5,6,7}:{(22,1),(24,1),(57,1),(60,1),(86,1),(90,1)}
        39:{1,4,6}:{(22,1),(23,1),(58,1)}
        40:{3,4,5,7}:{(23,1),(26,1),(48,1),(58,1),(59,1),(82,1),(90,1)}
        41:{1,2,4,6,7}:{(24,1),(25,1),(29,1),(49,1),(57,1),(60,1),(65,1),(92,1),(93,1),(101,1)}
        42:{3,6}:{(25,1),(26,1)}
        43:{1,3,5,7}:{(26,1),(27,1),(31,1),(51,1),(61,1),(63,1)}
        44:{2,3,5,7}:{(26,1),(28,1),(52,1),(59,1),(62,1),(63,1)}
        45:{1,2,4,7}:{(27,1),(28,1),(53,1),(63,1),(64,1)}
        46:{3,4,6,7}:{(29,1),(30,1),(54,1),(60,1),(65,1),(82,1)}
        47:{1,4,6}:{(30,1),(31,1),(55,1),(61,1)}
        48:{3,4,5}:{(33,1),(66,1),(67,1),(68,1),(97,1)}
        49:{1,2,4,5,7}:{(32,1),(36,1),(41,1),(69,1),(74,1),(75,1),(94,1),(95,1),(98,1),(100,1)}
        50:{3,5,6}:{(32,1),(33,1),(42,1),(66,1),(69,1)}
        51:{1,3,5}:{(33,1),(34,1),(67,1),(72,1),(97,1)}
        52:{2,3,5}:{(33,1),(35,1),(68,1),(72,1),(97,1)}
        53:{1,2,4,6}:{(34,1),(35,1),(45,1),(72,1),(73,1),(81,1),(99,1)}
        54:{3,5,7}:{(36,1),(37,1),(46,1),(74,1)}
        55:{1,5,6}:{(37,1),(47,1),(74,1)}
        56:{1,4,5,6}:{(39,1),(75,1),(76,1)}
        57:{1,4,6,7}:{(38,1),(39,1),(75,1),(77,1),(94,1)}
        58:{3,4,6}:{(39,1),(40,1),(42,1),(76,1),(78,1)}
        59:{2,4,5,7}:{(40,1),(44,1),(68,1),(78,1),(95,1),(100,1)}
        60:{3,6,7}:{(41,1),(42,1),(69,1),(104,1)}
        61:{1,3,6}:{(42,1),(43,1),(47,1),(81,1)}
        62:{2,3,6}:{(42,1),(44,1),(78,1),(81,1)}
        63:{1,2,5,7}:{(43,1),(44,1),(45,1),(72,1),(81,1)}
        64:{1,2,3,7}:{(45,1),(73,1),(104,1)}
        65:{1,4,6,7}:{(46,1),(47,1),(74,1),(79,1),(94,1)}
        66:{3,4,6}:{(48,1),(50,1),(82,1),(83,1),(84,1),(102,1)}
        67:{1,4,5}:{(48,1),(51,1),(83,1)}
        68:{2,4,5}:{(48,1),(52,1),(84,1)}
        69:{3,5,7}:{(49,1),(50,1),(60,1),(82,1)}
        70:{1,3,5,6}:{(50,1),(51,1),(55,1),(61,1),(83,1),(86,1),(88,1),(102,1)}
        71:{2,3,5,6}:{(50,1),(52,1),(62,1),(84,1),(87,1),(88,1),(91,1),(102,1)}
        72:{1,2,5}:{(51,1),(52,1),(53,1)}
        73:{1,2,3,6}:{(53,1),(64,1),(89,1),(102,1)}
        74:{1,5,7}:{(54,1),(55,1),(65,1)}
        75:{1,4,5,7}:{(56,1),(57,1),(90,1)}
        76:{3,5,6}:{(56,1),(58,1),(90,1),(91,1)}
        77:{3,4,6,7}:{(57,1),(58,1),(60,1),(82,1),(90,1),(92,1)}
        78:{2,4,6}:{(58,1),(59,1),(62,1),(91,1)}
        79:{1,3,6,7}:{(60,1),(61,1),(65,1),(86,1),(93,1)}
        80:{2,3,6,7}:{(60,1),(62,1),(87,1),(92,1),(93,1)}
        81:{1,2,6}:{(61,1),(62,1),(63,1)}
        82:{3,4,7}:{(66,1),(69,1),(94,1),(95,1),(104,1)}
        83:{1,4,6}:{(66,1),(67,1),(70,1),(94,1)}
        84:{2,4,6}:{(66,1),(68,1),(71,1),(95,1)}
        85:{1,2,4,5}:{(67,1),(68,1),(72,1),(96,1),(97,1),(99,1)}
        86:{1,3,5,7}:{(69,1),(70,1),(74,1),(79,1),(94,1),(98,1),(104,1)}
        87:{2,3,5,7}:{(69,1),(71,1),(80,1),(95,1),(98,1),(100,1),(104,1)}
        88:{1,2,5,6}:{(70,1),(71,1),(72,1),(81,1),(96,1),(98,1)}
        89:{1,2,3,5}:{(72,1),(73,1),(97,1),(99,1)}
        90:{3,5,7}:{(75,1),(76,1),(77,1),(100,1)}
        91:{2,5,6}:{(76,1),(78,1),(100,1)}
        92:{2,4,6,7}:{(77,1),(78,1),(80,1),(95,1),(100,1)}
        93:{1,2,6,7}:{(79,1),(80,1),(81,1),(98,1)}
        94:{1,4,7}:{(82,1),(83,1),(86,1)}
        95:{2,4,7}:{(82,1),(84,1),(87,1)}
        96:{1,2,4,6}:{(83,1),(84,1),(85,1),(88,1),(101,1),(102,1)}
        97:{3,5}:{(85,1),(102,1),(103,1)}
        98:{1,2,5,7}:{(86,1),(87,1),(88,1),(93,1),(101,1)}
        99:{1,2,4}:{(89,1),(103,1)}
       100:{2,5,7}:{(90,1),(91,1),(92,1)}
       101:{1,2,4,7}:{(94,1),(95,1),(96,1),(98,1),(104,1)}
       102:{3,6}:{(96,1),(97,1),(104,1)}
       103:{3,4}:{(97,1),(99,1)}
       104:{3,7}:{(101,1),(102,1)}

1757 :   0:{1,2,3,6}:{(3,1),(5,1),(8,1),(93,1),(105,1)}
         1:{2,3,4,6}:{(6,1),(8,1),(9,1),(41,1),(43,1),(48,1),(95,1),(105,1)}
         2:{2,4,5,6}:{(10,1),(11,1),(35,1),(43,1),(97,1)}
         3:{1,2,3,5}:{(0,1),(12,1),(17,1),(25,1),(61,1),(71,1)}
         4:{3,4,5}:{(18,1),(19,1),(20,1),(71,1)}
         5:{1,2,3,7}:{(0,1),(21,1),(112,1),(129,1),(138,1)}
         6:{2,3,4,7}:{(1,1),(21,1),(22,1),(66,1),(73,1),(113,1),(138,1)}
         7:{2,5,6,7}:{(16,1),(23,1),(125,1),(132,1)}
         8:{1,2,4,6}:{(0,1),(1,1),(17,1),(21,1),(24,1),(25,1),(76,1)}
         9:{2,3,5}:{(1,1),(18,1),(25,1),(71,1),(130,1)}
        10:{3,5,6}:{(2,1),(20,1),(27,1),(28,1)}
        11:{2,4,5,7}:{(2,1),(23,1),(28,1),(65,1),(73,1),(132,1)}
        12:{1,2,3}:{(32,1)}
        13:{1,3,4}:{(32,1),(33,1),(41,1)}
        14:{1,2,3,5,7}:{(3,1),(5,1),(29,1),(34,1),(36,1),(47,1),(82,1),(89,1),(96,1),(100,1)}
        15:{3,4,5,7}:{(4,1),(37,1),(38,1),(39,1),(45,1),(83,1),(99,1),(100,1),(149,1),(159,1),(202,1)}
        16:{3,5,6,7}:{(7,1),(31,1),(40,1),(49,1),(91,1),(99,1)}
        17:{1,2,4}:{(3,1),(41,1)}
        18:{2,4,5}:{(4,1),(9,1),(43,1),(159,1)}
        19:{1,4,5}:{(4,1),(33,1),(44,1)}
        20:{3,4,6}:{(4,1),(10,1),(43,1),(44,1),(45,1),(105,1)}
        21:{1,2,4,7}:{(5,1),(6,1),(8,1),(46,1),(47,1),(143,1)}
        22:{2,3,5,7}:{(6,1),(9,1),(37,1),(47,1),(48,1),(100,1),(144,1),(192,1)}
        23:{2,4,6,7}:{(7,1),(11,1),(40,1),(49,1)}
        24:{1,3,4,6}:{(8,1),(41,1),(46,1),(50,1),(95,1),(105,1),(108,1),(110,1)}
        25:{1,2,5}:{(8,1),(9,1),(50,1)}
        26:{2,3,5,6}:{(9,1),(10,1),(43,1),(48,1),(51,1),(52,1),(97,1),(105,1),(160,1)}
        27:{1,5,6}:{(10,1),(44,1),(53,1)}
        28:{3,5,7}:{(10,1),(11,1),(45,1),(49,1),(53,1)}
        29:{1,2,3,7}:{(12,1),(54,1),(57,1),(208,1),(210,1)}
        30:{1,3,4,7}:{(13,1),(55,1),(57,1),(58,1),(66,1),(175,1),(210,1)}
        31:{1,5,6,7}:{(16,1),(59,1),(78,1),(133,1)}
        32:{1,2,4}:{(12,1),(13,1),(60,1),(61,1)}
        33:{1,3,5}:{(13,1),(19,1),(61,1),(62,1),(71,1)}
        34:{1,2,3,6}:{(14,1),(63,1),(76,1),(124,1),(135,1)}
        35:{4,5,6}:{(64,1),(65,1),(183,1)}
        36:{1,2,4,7}:{(14,1),(17,1),(63,1),(66,1),(114,1)}
        37:{2,4,5,7}:{(15,1),(18,1),(22,1),(68,1),(73,1),(115,1),(132,1),(174,1)}
        38:{1,4,5,7}:{(15,1),(19,1),(58,1),(69,1),(74,1),(116,1),(133,1),(175,1)}
        39:{3,4,6}:{(15,1),(64,1),(68,1),(69,1),(135,1),(183,1)}
        40:{4,6,7}:{(16,1),(65,1)}
        41:{3,4}:{(17,1),(71,1)}
        42:{1,2,4,5}:{(17,1),(18,1),(19,1),(25,1),(61,1),(71,1),(72,1),(79,1),(127,1)}
        43:{2,4,6}:{(18,1),(20,1),(26,1),(73,1),(183,1)}
        44:{1,4,6}:{(19,1),(20,1),(27,1),(62,1),(74,1)}
        45:{3,4,7}:{(20,1),(28,1),(73,1),(74,1),(138,1)}
        46:{1,3,4,7}:{(21,1),(24,1),(66,1),(75,1),(138,1),(142,1),(169,1)}
        47:{1,2,5,7}:{(21,1),(22,1),(25,1),(75,1),(76,1),(170,1),(208,1)}
        48:{2,3,6}:{(22,1),(68,1),(76,1),(135,1)}
        49:{3,6,7}:{(23,1),(28,1),(78,1)}
        50:{1,3,5}:{(24,1),(25,1),(71,1),(79,1),(130,1)}
        51:{1,2,5,6}:{(25,1),(26,1),(27,1),(72,1),(76,1),(80,1),(81,1),(181,1)}
        52:{2,3,5,7}:{(26,1),(28,1),(73,1),(77,1),(81,1),(132,1),(138,1),(184,1)}
        53:{1,5,7}:{(27,1),(28,1),(74,1),(78,1)}
        54:{1,2,3,6}:{(29,1),(82,1),(84,1),(191,1),(194,1)}
        55:{1,3,4,6}:{(30,1),(84,1),(85,1),(90,1),(95,1),(145,1),(148,1),(194,1)}
        56:{1,4,5,6}:{(35,1),(86,1),(87,1),(98,1),(148,1)}
        57:{1,2,4,7}:{(29,1),(30,1),(32,1),(84,1),(88,1),(89,1)}
        58:{1,3,5,7}:{(30,1),(33,1),(38,1),(85,1),(89,1),(90,1),(94,1),(100,1)}
        59:{1,4,6,7}:{(31,1),(40,1),(87,1),(91,1)}
        60:{2,3,4}:{(32,1),(41,1),(92,1)}
        61:{1,2,5}:{(32,1),(33,1),(92,1),(93,1)}
        62:{1,3,6}:{(33,1),(44,1),(93,1),(94,1),(105,1)}
        63:{1,2,4,6}:{(34,1),(36,1),(95,1),(96,1)}
        64:{3,5,6}:{(35,1),(39,1),(97,1),(98,1),(99,1)}
        65:{4,5,7}:{(35,1),(40,1),(99,1),(202,1)}
        66:{3,4,7}:{(36,1),(41,1),(95,1),(100,1),(145,1),(202,1)}
        67:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(42,1),(47,1),(89,1),(96,1),(100,1),(101,1),(106,1),(107,1),(146,1),(154,1),(159,1),(161,1),(195,1),(202,1)}
        68:{2,4,6}:{(37,1),(39,1),(48,1),(97,1)}
        69:{1,4,6}:{(38,1),(39,1),(90,1),(98,1)}
        70:{3,4,6,7}:{(39,1),(40,1),(45,1),(49,1),(91,1),(99,1),(102,1),(103,1),(149,1),(163,1),(202,1)}
        71:{3,5}:{(41,1),(42,1),(105,1)}
        72:{1,2,4,6}:{(42,1),(43,1),(44,1),(51,1),(93,1),(105,1),(106,1),(110,1),(157,1)}
        73:{2,4,7}:{(43,1),(45,1),(52,1),(202,1)}
        74:{1,4,7}:{(44,1),(45,1),(53,1),(94,1)}
        75:{1,3,5,7}:{(46,1),(47,1),(50,1),(100,1),(107,1),(108,1),(190,1),(218,1)}
        76:{1,2,6}:{(47,1),(48,1),(108,1)}
        77:{2,3,6,7}:{(48,1),(49,1),(52,1),(102,1),(109,1),(163,1),(192,1)}
        78:{1,6,7}:{(49,1),(53,1)}
        79:{1,4,5}:{(50,1),(104,1),(110,1),(159,1)}
        80:{1,3,5,6}:{(50,1),(51,1),(105,1),(108,1),(110,1),(111,1),(160,1),(164,1),(166,1)}
        81:{1,2,5,7}:{(51,1),(52,1),(53,1),(106,1),(109,1),(111,1),(200,1)}
        82:{1,2,3,5}:{(54,1),(112,1),(114,1),(119,1),(170,1),(172,1)}
        83:{3,4,5}:{(115,1),(116,1),(117,1),(172,1)}
        84:{1,2,4,6}:{(54,1),(55,1),(57,1),(114,1),(118,1),(119,1),(124,1)}
        85:{1,3,5}:{(55,1),(116,1),(119,1),(130,1),(172,1)}
        86:{3,5,6}:{(56,1),(117,1),(120,1),(122,1)}
        87:{1,4,5,7}:{(56,1),(59,1),(65,1),(122,1),(133,1),(175,1)}
        88:{2,3,4,7}:{(57,1),(60,1),(66,1),(118,1),(123,1),(210,1),(212,1)}
        89:{1,2,5,7}:{(57,1),(58,1),(61,1),(119,1),(123,1),(124,1),(129,1)}
        90:{1,3,6}:{(58,1),(69,1),(124,1),(135,1)}
        91:{3,6,7}:{(59,1),(122,1),(125,1)}
        92:{2,3,5}:{(60,1),(61,1),(71,1),(127,1),(128,1)}
        93:{1,2,6}:{(61,1),(62,1),(128,1),(129,1)}
        94:{1,3,7}:{(62,1),(74,1),(129,1),(138,1)}
        95:{3,4,6}:{(63,1),(66,1),(130,1),(135,1),(183,1)}
        96:{1,2,5}:{(63,1),(130,1)}
        97:{2,5,6}:{(64,1),(68,1),(132,1)}
        98:{1,5,6}:{(64,1),(69,1),(133,1)}
        99:{3,5,7}:{(64,1),(65,1),(70,1),(132,1),(133,1)}
       100:{3,5,7}:{(66,1),(67,1),(71,1),(130,1),(135,1),(138,1),(172,1),(210,1)}
       101:{1,2,4,6}:{(67,1),(68,1),(69,1),(76,1),(124,1),(131,1),(135,1),(139,1),(179,1),(183,1)}
       102:{2,4,6,7}:{(68,1),(70,1),(73,1),(77,1),(125,1),(132,1),(174,1)}
       103:{1,4,6,7}:{(69,1),(70,1),(74,1),(78,1),(126,1),(133,1),(175,1)}
       104:{3,4,5}:{(71,1),(79,1),(127,1),(137,1)}
       105:{3,6}:{(71,1),(72,1),(138,1)}
       106:{1,2,4,7}:{(72,1),(73,1),(74,1),(81,1),(129,1),(138,1),(142,1),(182,1)}
       107:{1,4,5,7}:{(75,1),(79,1),(134,1),(139,1),(142,1),(188,1),(206,1),(225,1)}
       108:{1,3,6}:{(75,1),(76,1),(135,1),(139,1)}
       109:{1,2,6,7}:{(76,1),(77,1),(78,1),(81,1),(140,1),(208,1),(214,1)}
       110:{1,4,6}:{(79,1),(80,1),(137,1),(142,1),(183,1)}
       111:{1,3,5,7}:{(80,1),(81,1),(138,1),(140,1),(142,1),(184,1),(187,1),(188,1)}
       112:{1,2,3}:{(143,1)}
       113:{2,3,4}:{(143,1),(144,1),(145,1)}
       114:{1,2,4}:{(82,1),(145,1)}
       115:{2,4,5}:{(83,1),(144,1),(147,1)}
       116:{1,4,5}:{(83,1),(85,1),(148,1),(159,1)}
       117:{3,4,6}:{(83,1),(86,1),(147,1),(148,1),(149,1),(194,1)}
       118:{2,3,4,6}:{(84,1),(88,1),(95,1),(145,1),(150,1),(155,1),(194,1),(196,1)}
       119:{1,2,5}:{(84,1),(85,1),(150,1)}
       120:{2,5,6}:{(86,1),(147,1),(152,1)}
       121:{1,3,5,6}:{(85,1),(86,1),(90,1),(98,1),(148,1),(151,1),(153,1),(160,1),(194,1)}
       122:{3,5,7}:{(86,1),(87,1),(91,1),(149,1),(152,1)}
       123:{2,3,5,7}:{(88,1),(89,1),(92,1),(100,1),(150,1),(154,1),(155,1),(158,1)}
       124:{1,2,6}:{(89,1),(90,1),(155,1)}
       125:{2,6,7}:{(91,1),(152,1)}
       126:{1,3,6,7}:{(90,1),(91,1),(94,1),(103,1),(153,1),(156,1),(163,1)}
       127:{2,4,5}:{(92,1),(104,1),(157,1)}
       128:{2,3,6}:{(92,1),(93,1),(105,1),(157,1),(158,1)}
       129:{1,2,7}:{(93,1),(94,1),(158,1)}
       130:{3,5}:{(95,1),(96,1),(159,1)}
       131:{1,2,5,6}:{(96,1),(97,1),(98,1),(101,1),(160,1),(161,1),(166,1),(198,1)}
       132:{2,5,7}:{(97,1),(99,1),(102,1)}
       133:{1,5,7}:{(98,1),(99,1),(103,1)}
       134:{3,4,5,7}:{(100,1),(104,1),(107,1),(154,1),(159,1),(162,1),(165,1),(193,1),(202,1),(203,1),(220,1)}
       135:{3,6}:{(100,1),(101,1)}
       136:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(106,1),(109,1),(156,1),(161,1),(163,1),(167,1),(195,1),(199,1),(202,1)}
       137:{3,4,6}:{(104,1),(105,1),(110,1),(157,1),(164,1),(165,1)}
       138:{3,7}:{(105,1),(106,1)}
       139:{1,4,6}:{(107,1),(108,1),(162,1),(166,1)}
       140:{1,3,6,7}:{(108,1),(109,1),(111,1),(163,1),(167,1),(204,1),(218,1)}
       141:{1,4,5,6}:{(110,1),(164,1),(166,1),(168,1),(201,1)}
       142:{1,4,7}:{(110,1),(111,1),(165,1),(202,1)}
       143:{1,2,4}:{(112,1),(113,1),(169,1),(170,1)}
       144:{2,3,5}:{(113,1),(115,1),(170,1),(171,1),(172,1)}
       145:{3,4}:{(114,1),(172,1)}
       146:{1,2,4,5}:{(114,1),(115,1),(116,1),(119,1),(170,1),(172,1),(173,1),(176,1),(206,1)}
       147:{2,4,6}:{(115,1),(117,1),(120,1),(171,1),(174,1)}
       148:{1,4,6}:{(116,1),(117,1),(121,1),(175,1),(183,1)}
       149:{3,4,7}:{(117,1),(122,1),(174,1),(175,1),(210,1)}
       150:{2,3,5}:{(118,1),(119,1),(130,1),(172,1),(176,1)}
       151:{1,2,5,6}:{(119,1),(120,1),(121,1),(124,1),(173,1),(177,1),(178,1),(224,1)}
       152:{2,5,7}:{(120,1),(122,1),(125,1),(174,1)}
       153:{1,3,5,7}:{(121,1),(122,1),(126,1),(133,1),(175,1),(178,1),(184,1),(210,1)}
       154:{2,4,5,7}:{(123,1),(127,1),(134,1),(176,1),(179,1),(182,1),(212,1),(213,1)}
       155:{2,3,6}:{(123,1),(124,1),(135,1),(179,1)}
       156:{1,2,6,7}:{(124,1),(125,1),(126,1),(129,1),(178,1),(180,1),(230,1)}
       157:{2,4,6}:{(127,1),(128,1),(137,1),(181,1),(182,1)}
       158:{2,3,7}:{(128,1),(129,1),(138,1),(182,1)}
       159:{4,5}:{(130,1),(183,1)}
       160:{3,5,6}:{(130,1),(131,1),(135,1),(183,1),(184,1)}
       161:{1,2,5,7}:{(131,1),(132,1),(133,1),(136,1),(184,1),(188,1),(213,1)}
       162:{3,4,6}:{(134,1),(135,1),(139,1),(179,1),(183,1),(185,1)}
       163:{3,6,7}:{(135,1),(136,1),(138,1),(184,1),(210,1)}
       164:{3,5,6}:{(137,1),(141,1),(181,1),(187,1)}
       165:{3,4,7}:{(137,1),(138,1),(142,1),(182,1),(187,1)}
       166:{1,5,6}:{(139,1),(185,1),(188,1)}
       167:{1,4,6,7}:{(139,1),(140,1),(142,1),(186,1),(188,1),(225,1),(230,1)}
       168:{1,4,5,7}:{(141,1),(142,1),(187,1),(188,1),(189,1),(215,1)}
       169:{1,3,4}:{(143,1),(145,1),(190,1)}
       170:{1,2,5}:{(143,1),(144,1),(190,1),(191,1)}
       171:{2,3,6}:{(144,1),(147,1),(191,1),(192,1),(194,1)}
       172:{3,5}:{(145,1),(146,1),(194,1)}
       173:{1,2,4,6}:{(146,1),(147,1),(148,1),(151,1),(191,1),(194,1),(195,1),(196,1),(217,1)}
       174:{2,4,7}:{(147,1),(149,1),(152,1),(192,1)}
       175:{1,4,7}:{(148,1),(149,1),(153,1),(202,1)}
       176:{2,4,5}:{(150,1),(159,1),(193,1),(196,1)}
       177:{2,3,5,6}:{(150,1),(151,1),(155,1),(160,1),(194,1),(196,1),(197,1),(198,1),(219,1)}
       178:{1,2,5,7}:{(151,1),(152,1),(153,1),(156,1),(195,1),(197,1),(228,1)}
       179:{2,4,6}:{(154,1),(155,1),(162,1),(198,1)}
       180:{2,3,6,7}:{(155,1),(156,1),(158,1),(163,1),(197,1),(199,1),(229,1)}
       181:{2,5,6}:{(157,1),(164,1),(200,1)}
       182:{2,4,7}:{(157,1),(158,1),(165,1),(200,1)}
       183:{4,6}:{(159,1),(160,1),(202,1)}
       184:{3,5,7}:{(160,1),(161,1),(163,1),(202,1)}
       185:{3,5,6}:{(162,1),(166,1),(198,1),(201,1),(203,1)}
       186:{3,4,6,7}:{(162,1),(163,1),(165,1),(167,1),(199,1),(202,1),(203,1),(204,1),(220,1),(223,1),(229,1)}
       187:{3,5,7}:{(164,1),(165,1),(168,1),(200,1),(204,1)}
       188:{1,5,7}:{(166,1),(167,1),(203,1)}
       189:{1,4,6,7}:{(168,1),(204,1),(205,1),(223,1)}
       190:{1,3,5}:{(169,1),(170,1),(172,1),(206,1),(207,1)}
       191:{1,2,6}:{(170,1),(171,1),(207,1),(208,1)}
       192:{2,3,7}:{(171,1),(174,1),(208,1),(210,1)}
       193:{3,4,5}:{(172,1),(176,1),(206,1),(209,1)}
       194:{3,6}:{(172,1),(173,1),(210,1)}
       195:{1,2,4,7}:{(173,1),(174,1),(175,1),(178,1),(208,1),(210,1),(212,1),(225,1)}
       196:{2,4,6}:{(176,1),(177,1),(183,1),(209,1),(212,1)}
       197:{2,3,5,7}:{(177,1),(178,1),(180,1),(184,1),(210,1),(212,1),(213,1),(226,1)}
       198:{2,5,6}:{(179,1),(185,1),(213,1)}
       199:{2,4,6,7}:{(179,1),(180,1),(182,1),(186,1),(212,1),(213,1),(214,1)}
       200:{2,5,7}:{(181,1),(182,1),(187,1),(214,1)}
       201:{4,5,6}:{(183,1),(185,1),(215,1)}
       202:{4,7}:{(183,1),(184,1)}
       203:{3,5,7}:{(185,1),(186,1),(188,1),(213,1),(215,1)}
       204:{3,6,7}:{(187,1),(189,1),(214,1)}
       205:{1,5,6,7}:{(188,1),(189,1),(216,1),(230,1)}
       206:{1,4,5}:{(190,1),(193,1),(217,1)}
       207:{1,3,6}:{(190,1),(191,1),(194,1),(217,1),(218,1)}
       208:{1,2,7}:{(191,1),(192,1),(218,1)}
       209:{3,4,6}:{(193,1),(194,1),(196,1),(217,1),(219,1),(220,1)}
       210:{3,7}:{(194,1),(195,1)}
       211:{2,4,5,6}:{(196,1),(198,1),(201,1),(219,1),(221,1)}
       212:{2,4,7}:{(196,1),(197,1),(202,1),(220,1)}
       213:{2,5,7}:{(198,1),(199,1),(203,1)}
       214:{2,6,7}:{(200,1),(204,1)}
       215:{4,5,7}:{(201,1),(202,1),(203,1),(223,1)}
       216:{3,5,6,7}:{(203,1),(204,1),(205,1),(222,1),(223,1),(229,1)}
       217:{1,4,6}:{(206,1),(207,1),(209,1),(224,1),(225,1)}
       218:{1,3,7}:{(207,1),(208,1),(210,1),(225,1)}
       219:{3,5,6}:{(209,1),(211,1),(224,1),(226,1)}
       220:{3,4,7}:{(209,1),(210,1),(212,1),(225,1),(226,1)}
       221:{2,4,5,7}:{(211,1),(212,1),(213,1),(215,1),(226,1),(227,1)}
       222:{2,5,6,7}:{(213,1),(214,1),(216,1),(227,1)}
       223:{4,6,7}:{(215,1),(216,1)}
       224:{1,5,6}:{(217,1),(219,1),(228,1)}
       225:{1,4,7}:{(217,1),(218,1),(220,1),(228,1)}
       226:{3,5,7}:{(219,1),(220,1),(221,1),(228,1),(229,1)}
       227:{2,4,6,7}:{(221,1),(222,1),(223,1),(229,1)}
       228:{1,5,7}:{(224,1),(225,1),(226,1),(230,1)}
       229:{3,6,7}:{(226,1),(227,1),(230,1)}
       230:{1,6,7}:{(228,1),(229,1)}

1758 :   0:{1,3,4,5,6}:{(1,1),(2,1),(18,1),(57,1),(63,1)}
         1:{1,2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(49,1),(52,1)}
         2:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(28,1),(48,1),(53,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(40,1),(43,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(44,1)}
         6:{1,2,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(47,1),(49,1)}
         7:{2,3,4,6}:{(3,1),(11,1),(13,1),(14,1)}
         8:{2,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,2,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(34,1)}
        10:{1,3,5,6,7}:{(5,1),(16,1),(17,1),(35,1),(48,1)}
        11:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
        12:{1,2,3,5,7}:{(6,1),(8,1),(20,1),(21,1),(37,1),(40,1)}
        13:{2,3,4,5}:{(7,1),(19,1)}
        14:{2,3,4,7}:{(7,1),(8,1),(20,1)}
        15:{2,3,6,7}:{(8,1),(9,1)}
        16:{1,2,5,6,7}:{(9,1),(10,1),(24,1),(40,1)}
        17:{1,4,5,6,7}:{(10,1),(26,1),(58,1)}
        18:{1,3,4,6}:{(11,1),(27,1),(28,1),(47,1)}
        19:{1,2,4,5}:{(11,1),(13,1),(27,1)}
        20:{1,2,4,7}:{(11,1),(12,1),(14,1),(28,1)}
        21:{1,2,3,6,7}:{(12,1),(15,1),(30,1),(47,1)}
        22:{2,3,4,5,7}:{(13,1),(14,1),(29,1),(32,1),(33,1),(68,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1),(51,1)}
        24:{2,3,5,6,7}:{(15,1),(16,1),(33,1),(34,1),(35,1)}
        25:{1,2,4,5,6,7}:{(16,1),(17,1),(34,1),(35,1),(36,1),(50,1),(54,1),(56,1)}
        26:{3,4,5,6,7}:{(17,1),(35,1),(36,1),(68,1)}
        27:{1,3,5}:{(18,1),(19,1)}
        28:{1,3,4,7}:{(18,1),(20,1),(37,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(39,1),(40,1),(58,1)}
        30:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(39,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(24,1),(40,1),(41,1),(45,1),(57,1),(60,1),(81,1),(82,1),(83,1)}
        32:{2,3,4,6}:{(22,1),(39,1),(42,1),(77,1)}
        33:{2,3,5,7}:{(23,1),(40,1),(42,1),(43,1),(60,1)}
        34:{2,4,6,7}:{(24,1),(43,1),(44,1)}
        35:{3,5,6,7}:{(25,1),(44,1),(60,1)}
        36:{2,4,5,6,7}:{(26,1),(46,1),(79,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(47,1)}
        38:{1,3,4,6,7}:{(28,1),(30,1),(47,1),(48,1),(51,1),(67,1)}
        39:{1,2,4,6}:{(29,1),(32,1),(47,1),(49,1),(67,1)}
        40:{1,2,5,7}:{(30,1),(33,1),(48,1),(49,1)}
        41:{1,2,4,6,7}:{(31,1),(34,1),(50,1),(51,1),(54,1),(67,1),(87,1)}
        42:{2,3,5,6}:{(32,1),(33,1),(49,1),(52,1),(69,1)}
        43:{2,4,5,7}:{(33,1),(34,1),(52,1),(53,1)}
        44:{3,4,6,7}:{(34,1),(35,1),(53,1),(54,1)}
        45:{1,3,5,6,7}:{(35,1),(54,1),(56,1),(70,1),(76,1)}
        46:{2,3,5,6,7}:{(35,1),(36,1),(55,1),(56,1),(71,1)}
        47:{1,3,6}:{(37,1),(39,1)}
        48:{1,3,5,7}:{(38,1),(40,1),(57,1),(58,1),(60,1)}
        49:{1,2,5,6}:{(39,1),(40,1),(42,1),(57,1)}
        50:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(58,1),(59,1),(60,1),(64,1),(79,1),(82,1)}
        51:{3,4,6,7}:{(41,1),(60,1),(77,1)}
        52:{2,4,5,6}:{(42,1),(43,1),(63,1)}
        53:{3,4,5,7}:{(43,1),(44,1),(60,1),(63,1),(64,1)}
        54:{1,4,6,7}:{(44,1),(45,1),(64,1)}
        55:{2,3,4,6,7}:{(44,1),(46,1),(65,1),(66,1)}
        56:{1,2,5,6,7}:{(45,1),(46,1),(66,1),(82,1)}
        57:{1,3,5,6}:{(47,1),(48,1),(49,1),(67,1),(69,1)}
        58:{1,4,5,7}:{(48,1),(67,1),(68,1)}
        59:{1,2,4,5,6}:{(49,1),(50,1),(52,1),(67,1),(69,1),(73,1),(87,1),(89,1)}
        60:{3,5,7}:{(50,1),(51,1),(69,1)}
        61:{1,3,4,6,7}:{(51,1),(54,1),(70,1),(72,1),(76,1),(86,1),(92,1)}
        62:{2,3,4,6,7}:{(51,1),(71,1),(72,1),(87,1),(98,1),(99,1)}
        63:{3,4,5,6}:{(52,1),(53,1),(69,1),(73,1)}
        64:{1,4,5,7}:{(53,1),(54,1),(70,1),(73,1)}
        65:{2,3,4,5,7}:{(53,1),(55,1),(71,1),(74,1),(75,1),(99,1)}
        66:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(75,1),(76,1)}
        67:{1,4,6}:{(57,1),(58,1),(77,1)}
        68:{3,4,5,7}:{(58,1),(60,1),(77,1),(79,1)}
        69:{3,5,6}:{(59,1),(60,1),(77,1)}
        70:{1,3,5,7}:{(60,1),(61,1),(64,1),(80,1),(82,1)}
        71:{2,3,5,7}:{(60,1),(62,1),(79,1),(81,1),(82,1)}
        72:{1,2,4,6,7}:{(61,1),(62,1),(82,1),(83,1),(93,1),(96,1)}
        73:{1,4,5,6}:{(63,1),(64,1),(80,1)}
        74:{2,3,4,5,6}:{(63,1),(65,1),(81,1),(84,1),(102,1)}
        75:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(82,1),(84,1),(85,1),(96,1)}
        76:{1,3,6,7}:{(66,1),(85,1)}
        77:{3,4,6}:{(67,1),(68,1),(69,1),(87,1)}
        78:{1,3,4,5,7}:{(68,1),(70,1),(86,1),(88,1),(92,1),(101,1)}
        79:{2,4,5,7}:{(68,1),(71,1),(87,1)}
        80:{1,3,5,6}:{(69,1),(70,1),(73,1),(86,1),(89,1)}
        81:{2,3,5,6}:{(69,1),(71,1),(87,1),(89,1),(98,1)}
        82:{1,2,5,7}:{(70,1),(71,1),(72,1),(89,1)}
        83:{1,2,3,6,7}:{(72,1),(76,1),(90,1),(98,1)}
        84:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(89,1),(91,1),(100,1)}
        85:{1,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,3,4,6}:{(77,1),(78,1),(80,1),(93,1)}
        87:{2,4,6}:{(77,1),(79,1),(81,1)}
        88:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(93,1),(94,1),(96,1),(103,1)}
        89:{1,2,5,6}:{(80,1),(81,1),(82,1),(93,1)}
        90:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(94,1),(95,1),(96,1)}
        91:{1,3,5,6}:{(84,1),(85,1),(97,1)}
        92:{1,3,4,7}:{(85,1),(96,1),(97,1)}
        93:{1,2,4,6}:{(86,1),(87,1),(88,1),(89,1),(98,1)}
        94:{2,3,5,7}:{(88,1),(98,1),(99,1),(104,1)}
        95:{1,2,3,5,6}:{(89,1),(90,1),(91,1),(98,1),(100,1),(104,1)}
        96:{1,2,4,7}:{(90,1),(92,1),(99,1),(100,1)}
        97:{1,3,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{2,3,6}:{(93,1),(94,1)}
        99:{2,3,4,7}:{(94,1),(96,1),(102,1)}
       100:{1,2,4,6}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{1,3,4,5}:{(97,1),(103,1)}
       102:{2,3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       103:{1,2,4,5}:{(100,1),(101,1),(104,1)}
       104:{2,3,5}:{(102,1),(103,1)}

1759 :   0:{1,3,4,5,7}:{(4,1),(5,1),(7,1),(53,1),(66,1),(70,1),(102,1),(109,1),(116,1),(121,1)}
         1:{1,3,4,6,7}:{(5,1),(6,1),(7,1),(9,1),(33,1),(66,1),(73,1)}
         2:{1,3,5,6,7}:{(7,1),(8,1),(9,1),(10,1),(33,1),(69,1)}
         3:{1,4,5,6,7}:{(9,1),(10,1),(113,1)}
         4:{1,2,4,5,7}:{(0,1),(11,1),(12,1),(15,1),(35,1),(45,1),(78,1),(82,1)}
         5:{1,3,4,6}:{(0,1),(12,1),(13,1),(83,1),(96,1),(144,1),(149,1)}
         6:{1,2,4,6,7}:{(1,1),(12,1),(14,1),(15,1),(45,1)}
         7:{1,3,5,7}:{(1,1),(13,1),(15,1),(16,1),(46,1),(100,1)}
         8:{1,2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(20,1),(86,1),(100,1)}
         9:{1,4,6,7}:{(2,1),(16,1),(19,1),(96,1)}
        10:{3,5,6,7}:{(3,1),(19,1),(20,1),(142,1)}
        11:{2,3,5,7}:{(4,1),(22,1),(23,1),(58,1),(116,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(23,1),(24,1),(59,1)}
        13:{1,3,5,6}:{(5,1),(7,1),(24,1),(25,1),(60,1),(102,1),(127,1)}
        14:{2,3,6,7}:{(6,1),(23,1),(28,1),(33,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(24,1),(28,1)}
        16:{1,4,5,7}:{(7,1),(9,1),(25,1),(30,1)}
        17:{2,3,5,6,7}:{(8,1),(28,1),(32,1),(33,1),(64,1),(72,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(29,1),(32,1),(33,1),(34,1),(73,1),(74,1),(115,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(30,1),(33,1),(34,1),(124,1)}
        20:{2,5,6,7}:{(10,1),(34,1),(167,1)}
        21:{1,2,3,5,7}:{(11,1),(35,1),(36,1),(75,1),(78,1)}
        22:{2,3,4,7}:{(11,1),(35,1),(38,1),(45,1),(88,1)}
        23:{2,3,6}:{(11,1),(12,1),(144,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(15,1),(39,1),(78,1)}
        25:{1,4,5,6}:{(13,1),(16,1),(41,1),(96,1),(130,1)}
        26:{1,2,3,6,7}:{(14,1),(36,1),(42,1),(43,1),(51,1),(128,1),(144,1),(188,1),(189,1)}
        27:{2,3,4,6,7}:{(14,1),(38,1),(42,1),(44,1),(45,1),(50,1),(88,1),(90,1),(144,1)}
        28:{2,3,5,7}:{(14,1),(15,1),(39,1),(45,1),(46,1)}
        29:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(40,1),(45,1),(46,1),(47,1),(49,1),(92,1),(94,1),(100,1)}
        30:{3,4,5,7}:{(16,1),(19,1),(41,1),(46,1),(47,1)}
        31:{1,3,4,6,7}:{(42,1),(48,1),(76,1),(88,1),(96,1),(128,1),(144,1),(151,1),(175,1)}
        32:{2,4,6,7}:{(17,1),(45,1),(49,1),(50,1),(90,1)}
        33:{3,6,7}:{(18,1),(46,1),(144,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(47,1),(52,1),(152,1)}
        35:{1,2,4,7}:{(21,1),(22,1),(53,1),(55,1)}
        36:{1,2,3,6}:{(21,1),(23,1),(55,1),(101,1)}
        37:{2,3,4,5,7}:{(22,1),(54,1),(57,1),(58,1),(65,1),(107,1),(116,1),(125,1),(156,1),(190,1)}
        38:{2,3,4,6}:{(22,1),(23,1),(55,1),(58,1),(59,1),(106,1)}
        39:{2,3,5,6}:{(23,1),(24,1),(28,1),(58,1),(59,1),(60,1)}
        40:{1,2,4,5,6}:{(24,1),(25,1),(29,1),(59,1),(60,1),(61,1),(71,1),(105,1),(110,1),(112,1),(115,1),(127,1)}
        41:{3,4,5,6}:{(25,1),(30,1),(60,1),(61,1),(124,1),(156,1)}
        42:{1,2,4,6,7}:{(26,1),(27,1),(31,1),(55,1),(62,1),(63,1),(73,1),(115,1),(174,1)}
        43:{1,2,3,5,7}:{(26,1),(28,1),(56,1),(62,1),(63,1),(67,1),(116,1),(154,1),(171,1),(172,1),(195,1)}
        44:{2,3,5,7}:{(27,1),(58,1),(62,1),(64,1),(65,1),(72,1),(116,1)}
        45:{2,4,7}:{(28,1),(59,1),(66,1)}
        46:{3,5,7}:{(29,1),(33,1),(60,1),(66,1)}
        47:{2,4,5,7}:{(30,1),(34,1),(61,1),(68,1)}
        48:{1,3,5,7}:{(31,1),(62,1),(69,1),(70,1),(102,1),(116,1),(166,1)}
        49:{2,4,5,7}:{(32,1),(71,1),(72,1)}
        50:{3,4,6,7}:{(32,1),(33,1),(66,1),(72,1),(73,1),(120,1)}
        51:{1,3,6,7}:{(33,1),(67,1),(73,1),(74,1),(169,1)}
        52:{2,3,6,7}:{(33,1),(34,1),(68,1),(74,1),(170,1)}
        53:{1,3,4,7}:{(35,1),(75,1),(76,1),(88,1),(175,1)}
        54:{1,2,4,5,7}:{(35,1),(37,1),(75,1),(77,1),(78,1),(130,1),(131,1),(175,1)}
        55:{1,2,4,6}:{(35,1),(36,1),(38,1),(76,1),(78,1)}
        56:{1,2,3,5,6}:{(36,1),(39,1),(43,1),(78,1),(79,1),(84,1),(86,1),(129,1),(133,1),(144,1),(181,1),(182,1),(183,1),(189,1)}
        57:{2,3,4,6}:{(37,1),(77,1),(81,1),(90,1),(144,1),(152,1),(176,1)}
        58:{2,3,5}:{(38,1),(78,1),(82,1),(133,1)}
        59:{2,4,6}:{(39,1),(45,1),(82,1),(83,1)}
        60:{3,5,6}:{(40,1),(46,1),(83,1),(133,1),(144,1)}
        61:{2,4,5,6}:{(41,1),(47,1),(85,1),(152,1),(178,1)}
        62:{1,2,5,7}:{(42,1),(44,1),(48,1),(78,1),(86,1),(100,1),(186,1)}
        63:{1,2,4,7}:{(43,1),(45,1),(79,1),(88,1),(92,1),(175,1),(201,1)}
        64:{2,3,5,6}:{(44,1),(86,1),(90,1),(99,1),(144,1)}
        65:{2,4,5,7}:{(44,1),(45,1),(82,1),(90,1),(91,1)}
        66:{3,4,7}:{(45,1),(46,1),(83,1),(92,1)}
        67:{1,3,5,7}:{(46,1),(51,1),(84,1),(92,1),(94,1),(100,1),(150,1)}
        68:{2,3,5,7}:{(46,1),(47,1),(52,1),(85,1),(93,1),(94,1)}
        69:{1,3,5,6}:{(48,1),(86,1),(96,1),(142,1),(144,1)}
        70:{1,4,5,7}:{(48,1),(96,1),(97,1),(130,1),(175,1)}
        71:{2,4,5,6}:{(49,1),(90,1),(99,1)}
        72:{3,5,7}:{(49,1),(50,1),(99,1),(100,1)}
        73:{1,4,6,7}:{(50,1),(51,1),(92,1),(100,1),(149,1)}
        74:{1,2,6,7}:{(51,1),(52,1),(94,1),(189,1)}
        75:{1,3,5,7}:{(53,1),(54,1),(101,1),(102,1),(116,1)}
        76:{1,3,4,6}:{(53,1),(55,1),(101,1),(102,1),(106,1),(155,1)}
        77:{1,2,4,6}:{(54,1),(57,1),(101,1),(104,1),(155,1)}
        78:{1,2,5}:{(55,1),(58,1),(102,1)}
        79:{1,2,4,6}:{(56,1),(59,1),(63,1),(105,1),(106,1),(110,1),(155,1),(192,1)}
        80:{2,3,4,6,7}:{(57,1),(103,1),(107,1),(119,1),(168,1),(174,1),(190,1)}
        81:{2,3,5,6}:{(57,1),(58,1),(104,1),(107,1),(108,1),(158,1),(167,1)}
        82:{2,4,5}:{(58,1),(59,1),(109,1)}
        83:{3,4,6}:{(59,1),(60,1),(66,1),(109,1),(110,1)}
        84:{1,3,5,6}:{(60,1),(67,1),(110,1),(112,1),(127,1),(159,1),(165,1),(169,1)}
        85:{2,3,5,6}:{(60,1),(61,1),(68,1),(111,1),(112,1),(160,1),(170,1)}
        86:{1,2,5,6}:{(62,1),(64,1),(69,1),(115,1),(127,1),(167,1)}
        87:{1,2,4,5,7}:{(62,1),(63,1),(65,1),(70,1),(105,1),(115,1),(116,1),(121,1),(125,1),(171,1)}
        88:{3,4,7}:{(63,1),(106,1),(116,1)}
        89:{2,3,5,6,7}:{(64,1),(107,1),(114,1),(119,1),(126,1),(168,1)}
        90:{2,4,6}:{(64,1),(65,1),(120,1)}
        91:{3,4,5,7}:{(65,1),(66,1),(72,1),(109,1),(116,1),(120,1),(121,1)}
        92:{1,4,7}:{(66,1),(67,1),(110,1)}
        93:{2,3,4,7}:{(66,1),(68,1),(111,1),(122,1)}
        94:{1,2,5,7}:{(67,1),(68,1),(74,1),(112,1),(122,1)}
        95:{1,3,5,6,7}:{(69,1),(114,1),(123,1),(154,1),(166,1),(168,1)}
        96:{1,4,6}:{(69,1),(70,1),(124,1)}
        97:{3,4,5,7}:{(70,1),(116,1),(124,1),(125,1),(156,1),(166,1),(190,1)}
        98:{2,4,5,6,7}:{(71,1),(119,1),(126,1)}
        99:{3,5,6}:{(71,1),(72,1),(120,1),(127,1)}
       100:{1,5,7}:{(72,1),(73,1),(127,1)}
       101:{1,3,6}:{(75,1),(77,1),(144,1)}
       102:{1,3,5}:{(76,1),(78,1),(130,1),(133,1)}
       103:{1,2,4,6,7}:{(77,1),(80,1),(128,1),(131,1),(175,1)}
       104:{1,2,5,6}:{(77,1),(78,1),(81,1),(129,1),(131,1)}
       105:{1,2,4,5}:{(78,1),(79,1),(82,1),(130,1),(133,1),(138,1),(178,1),(182,1)}
       106:{3,4,6}:{(79,1),(88,1),(133,1),(144,1)}
       107:{2,3,5,7}:{(80,1),(81,1),(131,1),(136,1),(179,1),(186,1)}
       108:{2,4,5,6}:{(81,1),(82,1),(90,1),(136,1),(137,1)}
       109:{3,4,5}:{(82,1),(83,1),(133,1),(138,1)}
       110:{1,4,6}:{(83,1),(84,1),(92,1),(138,1)}
       111:{2,3,4,6}:{(83,1),(85,1),(93,1),(139,1),(140,1)}
       112:{1,2,5,6}:{(84,1),(85,1),(94,1),(140,1),(182,1),(189,1)}
       113:{1,4,5,6}:{(96,1),(141,1),(142,1)}
       114:{1,2,5,6,7}:{(86,1),(89,1),(95,1),(131,1),(143,1),(153,1),(186,1)}
       115:{1,2,4,6}:{(86,1),(87,1),(90,1),(96,1),(144,1),(149,1),(152,1),(189,1)}
       116:{3,5,7}:{(87,1),(88,1),(133,1),(144,1)}
       117:{1,3,4,7}:{(88,1),(92,1),(134,1),(145,1),(147,1),(150,1)}
       118:{2,3,4,7}:{(88,1),(135,1),(146,1),(147,1),(201,1),(209,1)}
       119:{2,4,6,7}:{(89,1),(90,1),(136,1),(148,1)}
       120:{3,4,6}:{(90,1),(91,1),(99,1),(144,1),(149,1)}
       121:{1,4,5,7}:{(91,1),(92,1),(100,1),(138,1),(145,1),(149,1)}
       122:{1,2,4,7}:{(92,1),(93,1),(94,1),(140,1),(150,1)}
       123:{1,4,6,7}:{(95,1),(96,1),(141,1),(151,1),(175,1)}
       124:{3,4,6}:{(96,1),(97,1),(142,1),(144,1),(152,1)}
       125:{2,4,5,7}:{(97,1),(146,1),(152,1),(178,1),(186,1),(201,1)}
       126:{3,5,6,7}:{(98,1),(99,1),(148,1),(153,1)}
       127:{1,5,6}:{(99,1),(100,1),(149,1)}
       128:{1,3,6,7}:{(101,1),(103,1),(154,1),(168,1)}
       129:{1,3,5,6}:{(101,1),(102,1),(104,1),(154,1),(155,1),(158,1)}
       130:{1,4,5}:{(102,1),(155,1),(156,1)}
       131:{1,2,5,7}:{(103,1),(104,1),(107,1),(154,1)}
       132:{1,2,4,5,6}:{(104,1),(105,1),(108,1),(113,1),(115,1),(155,1),(157,1),(158,1),(163,1),(167,1),(192,1),(196,1)}
       133:{3,5}:{(105,1),(106,1)}
       134:{1,3,4,6}:{(106,1),(110,1),(117,1),(159,1),(161,1),(165,1),(169,1),(198,1)}
       135:{2,3,4,6}:{(106,1),(118,1),(160,1),(161,1),(170,1),(192,1),(207,1),(208,1)}
       136:{2,4,5,7}:{(107,1),(108,1),(119,1),(162,1)}
       137:{3,4,5,6}:{(108,1),(109,1),(120,1),(158,1),(162,1),(163,1)}
       138:{1,4,5}:{(109,1),(110,1),(159,1)}
       139:{2,3,4,5}:{(109,1),(111,1),(160,1),(164,1),(208,1)}
       140:{1,2,4,6}:{(110,1),(111,1),(112,1),(122,1),(164,1),(165,1)}
       141:{1,4,5,7}:{(113,1),(123,1),(166,1)}
       142:{3,5,6}:{(113,1),(124,1),(166,1),(167,1)}
       143:{1,2,4,6,7}:{(114,1),(115,1),(119,1),(123,1),(157,1),(168,1),(173,1),(174,1),(199,1)}
       144:{3,6}:{(115,1),(116,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(121,1),(159,1),(169,1),(171,1)}
       146:{2,3,5,7}:{(116,1),(118,1),(125,1),(160,1),(170,1),(171,1)}
       147:{1,2,4,7}:{(117,1),(118,1),(161,1),(171,1),(172,1)}
       148:{3,4,6,7}:{(119,1),(120,1),(126,1),(162,1),(168,1),(173,1)}
       149:{1,4,6}:{(120,1),(121,1),(127,1),(169,1)}
       150:{1,3,7}:{(122,1),(165,1)}
       151:{3,4,6,7}:{(123,1),(124,1),(166,1),(168,1),(174,1),(190,1)}
       152:{2,4,6}:{(124,1),(125,1),(167,1),(170,1)}
       153:{1,5,6,7}:{(126,1),(127,1),(173,1)}
       154:{1,3,5,7}:{(128,1),(129,1),(131,1),(175,1),(179,1)}
       155:{1,4,6}:{(129,1),(130,1),(175,1),(176,1)}
       156:{3,4,5}:{(130,1),(133,1),(176,1),(178,1)}
       157:{1,2,4,5,7}:{(131,1),(132,1),(136,1),(141,1),(143,1),(175,1),(179,1),(184,1),(186,1),(201,1),(204,1)}
       158:{3,5,6}:{(132,1),(133,1),(144,1),(176,1),(179,1)}
       159:{1,3,5}:{(133,1),(134,1),(138,1),(182,1)}
       160:{2,3,5}:{(133,1),(135,1),(178,1),(182,1)}
       161:{1,2,4,6}:{(134,1),(135,1),(147,1),(182,1),(183,1),(189,1),(205,1)}
       162:{3,4,5,7}:{(136,1),(137,1),(148,1),(179,1),(184,1)}
       163:{1,4,5,6}:{(137,1),(138,1),(149,1),(180,1),(184,1)}
       164:{1,2,4,5}:{(138,1),(139,1),(140,1),(182,1),(185,1),(205,1)}
       165:{1,3,6}:{(140,1),(150,1),(185,1)}
       166:{3,5,7}:{(141,1),(142,1),(151,1),(186,1)}
       167:{2,5,6}:{(142,1),(152,1),(186,1)}
       168:{3,6,7}:{(143,1),(144,1),(179,1)}
       169:{1,3,6}:{(144,1),(145,1),(149,1),(189,1)}
       170:{2,3,6}:{(144,1),(146,1),(152,1),(189,1)}
       171:{1,2,5,7}:{(145,1),(146,1),(147,1),(182,1),(189,1)}
       172:{1,2,3,7}:{(147,1),(150,1),(183,1),(209,1)}
       173:{1,4,6,7}:{(148,1),(149,1),(153,1),(184,1),(187,1)}
       174:{2,4,6,7}:{(151,1),(152,1),(186,1),(188,1),(201,1)}
       175:{1,4,7}:{(154,1),(155,1),(190,1)}
       176:{3,4,6}:{(155,1),(156,1),(158,1),(190,1),(192,1)}
       177:{1,3,4,5}:{(156,1),(159,1),(191,1),(193,1),(198,1)}
       178:{2,4,5}:{(156,1),(160,1),(192,1)}
       179:{3,5,7}:{(157,1),(158,1),(168,1),(190,1)}
       180:{1,3,5,6}:{(158,1),(159,1),(163,1),(169,1),(191,1),(194,1),(196,1)}
       181:{2,3,5,6}:{(158,1),(160,1),(167,1),(170,1),(192,1),(195,1),(196,1),(207,1)}
       182:{1,2,5}:{(159,1),(160,1),(161,1)}
       183:{1,2,3,6}:{(161,1),(165,1),(172,1),(197,1),(207,1)}
       184:{1,4,5,7}:{(162,1),(163,1),(173,1),(194,1)}
       185:{1,3,5}:{(164,1),(165,1),(198,1)}
       186:{2,5,7}:{(166,1),(167,1),(174,1)}
       187:{1,3,6,7}:{(168,1),(169,1),(173,1),(194,1),(199,1)}
       188:{2,3,6,7}:{(168,1),(170,1),(174,1),(195,1),(199,1)}
       189:{1,2,6}:{(169,1),(170,1),(171,1)}
       190:{3,4,7}:{(175,1),(176,1),(179,1),(201,1)}
       191:{1,3,4,6}:{(176,1),(177,1),(180,1),(200,1),(202,1)}
       192:{2,4,6}:{(176,1),(178,1),(181,1),(201,1)}
       193:{1,2,4,5}:{(177,1),(178,1),(182,1),(202,1),(203,1),(205,1)}
       194:{1,3,5,7}:{(179,1),(180,1),(184,1),(187,1),(200,1),(204,1)}
       195:{2,3,5,7}:{(179,1),(181,1),(186,1),(188,1),(201,1),(204,1),(209,1)}
       196:{1,2,5,6}:{(180,1),(181,1),(182,1),(189,1),(202,1),(204,1)}
       197:{1,2,3,5}:{(182,1),(183,1),(185,1),(203,1),(205,1)}
       198:{1,3,4}:{(185,1),(205,1)}
       199:{1,2,6,7}:{(187,1),(188,1),(189,1),(204,1)}
       200:{1,3,4,7}:{(190,1),(191,1),(194,1),(206,1)}
       201:{2,4,7}:{(190,1),(192,1),(195,1)}
       202:{1,2,4,6}:{(191,1),(192,1),(193,1),(196,1),(206,1),(207,1)}
       203:{2,3,5}:{(193,1),(207,1),(208,1)}
       204:{1,2,5,7}:{(194,1),(195,1),(196,1),(199,1),(206,1)}
       205:{1,2,4}:{(197,1),(198,1),(208,1)}
       206:{1,2,4,7}:{(200,1),(201,1),(202,1),(204,1),(209,1)}
       207:{2,3,6}:{(202,1),(203,1),(209,1)}
       208:{2,3,4}:{(203,1),(205,1)}
       209:{2,3,7}:{(206,1),(207,1)}

1760 :   0:{1,2,3,5,6,7}:{(2,1),(12,1),(22,1),(44,1),(45,1),(49,1),(50,1),(58,1),(60,1),(96,1),(100,1),(110,1),(136,1),(142,1),(165,1)}
         1:{1,2,4,5,6,7}:{(3,1),(11,1),(20,1),(21,1),(22,1),(57,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(69,1),(70,1),(84,1),(125,1),(133,1),(154,1),(172,1)}
         3:{3,5,6,7}:{(1,1),(8,1),(25,1),(83,1)}
         4:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(47,1),(48,1),(49,1),(146,1)}
         5:{3,4,6,7}:{(2,1),(12,1),(43,1),(60,1),(111,1),(142,1),(145,1),(166,1)}
         6:{1,3,4,5,7}:{(15,1),(16,1),(18,1),(47,1),(93,1),(104,1),(111,1),(140,1),(151,1)}
         7:{1,3,4,6,7}:{(15,1),(18,1),(19,1),(20,1),(60,1),(111,1)}
         8:{3,4,6,7}:{(3,1),(17,1),(20,1),(21,1),(43,1),(60,1),(111,1)}
         9:{1,3,5,6,7}:{(3,1),(18,1),(20,1),(22,1),(44,1),(60,1),(110,1)}
        10:{2,3,5,6,7}:{(3,1),(21,1),(22,1),(45,1),(56,1),(58,1),(60,1)}
        11:{1,2,4,5,6}:{(4,1),(25,1),(69,1),(70,1),(71,1)}
        12:{3,5,7}:{(4,1),(5,1),(25,1),(162,1)}
        13:{1,3,4,6,7}:{(5,1),(27,1),(29,1),(69,1),(85,1),(115,1),(119,1),(124,1),(129,1),(133,1),(154,1),(161,1)}
        14:{2,3,4,6,7}:{(5,1),(28,1),(29,1),(37,1),(70,1),(81,1),(84,1),(124,1),(129,1),(158,1),(160,1),(172,1)}
        15:{1,3,4,6}:{(6,1),(31,1),(32,1),(69,1),(124,1),(131,1)}
        16:{1,2,4,5,7}:{(6,1),(32,1),(33,1),(36,1),(73,1),(84,1),(126,1),(132,1)}
        17:{3,4,5,7}:{(8,1),(30,1),(34,1),(35,1),(83,1)}
        18:{1,3,5,7}:{(7,1),(31,1),(34,1),(36,1),(83,1)}
        19:{1,2,4,6,7}:{(7,1),(32,1),(36,1),(37,1),(84,1)}
        20:{1,4,6,7}:{(8,1),(9,1),(34,1),(69,1),(133,1)}
        21:{2,4,6,7}:{(8,1),(10,1),(35,1),(70,1),(84,1)}
        22:{1,2,5,6,7}:{(9,1),(10,1),(36,1),(39,1),(71,1),(82,1)}
        23:{2,3,4,5,7}:{(40,1),(41,1),(48,1),(55,1),(87,1),(104,1),(109,1),(166,1),(168,1)}
        24:{1,2,4,5,6,7}:{(11,1),(42,1),(94,1),(95,1),(96,1),(135,1)}
        25:{3,5,6}:{(11,1),(12,1),(43,1)}
        26:{3,4,5,7}:{(12,1),(43,1),(47,1),(48,1),(104,1),(111,1),(151,1),(166,1),(168,1)}
        27:{1,3,5,7}:{(12,1),(13,1),(44,1),(47,1),(49,1),(104,1),(140,1),(171,1)}
        28:{2,3,5,7}:{(12,1),(14,1),(45,1),(48,1),(49,1),(104,1),(109,1),(170,1)}
        29:{1,2,4,6,7}:{(13,1),(14,1),(49,1),(50,1),(99,1),(101,1),(105,1),(169,1)}
        30:{3,4,5,6}:{(17,1),(43,1),(51,1),(52,1),(107,1),(168,1)}
        31:{1,3,5,6}:{(15,1),(18,1),(51,1),(53,1),(107,1),(140,1)}
        32:{1,2,4,6}:{(15,1),(16,1),(53,1),(54,1),(108,1)}
        33:{2,3,5,7}:{(16,1),(54,1),(55,1),(104,1),(109,1)}
        34:{1,4,5,7}:{(17,1),(18,1),(20,1),(51,1)}
        35:{2,4,5,7}:{(17,1),(21,1),(52,1),(56,1)}
        36:{1,2,5,7}:{(18,1),(19,1),(53,1),(58,1)}
        37:{2,3,6,7}:{(19,1),(54,1),(58,1),(60,1)}
        38:{2,3,4,6,7}:{(21,1),(56,1),(59,1),(60,1),(98,1),(111,1)}
        39:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(57,1),(60,1),(99,1)}
        40:{2,3,4,6}:{(23,1),(63,1),(64,1),(70,1),(124,1),(156,1)}
        41:{1,2,4,5,7}:{(23,1),(64,1),(65,1),(73,1),(114,1),(126,1),(154,1),(157,1)}
        42:{3,5,6,7}:{(24,1),(25,1),(66,1),(153,1)}
        43:{3,4,6}:{(25,1),(26,1),(69,1),(70,1),(124,1)}
        44:{1,3,5,6}:{(25,1),(27,1),(69,1),(71,1),(124,1)}
        45:{2,3,5,6}:{(25,1),(28,1),(70,1),(71,1),(124,1)}
        46:{1,2,3,5,7}:{(33,1),(65,1),(72,1),(73,1),(126,1)}
        47:{1,4,5,7}:{(26,1),(27,1),(69,1),(133,1),(154,1),(157,1),(164,1)}
        48:{2,4,5,7}:{(26,1),(28,1),(70,1),(84,1),(132,1),(172,1),(173,1)}
        49:{1,2,5,7}:{(27,1),(28,1),(29,1),(71,1),(126,1),(174,1)}
        50:{1,2,3,6,7}:{(29,1),(37,1),(72,1),(77,1),(85,1),(115,1),(124,1),(158,1),(159,1)}
        51:{1,4,5,6}:{(30,1),(31,1),(34,1),(69,1),(157,1)}
        52:{2,4,5,6}:{(30,1),(35,1),(70,1),(78,1),(173,1)}
        53:{1,2,5,6}:{(31,1),(32,1),(36,1),(80,1),(126,1)}
        54:{2,3,6}:{(32,1),(33,1),(124,1)}
        55:{2,3,4,7}:{(33,1),(73,1),(81,1),(84,1),(129,1)}
        56:{2,3,5,7}:{(35,1),(38,1),(78,1),(82,1),(83,1)}
        57:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(39,1),(79,1),(82,1),(83,1),(84,1),(133,1)}
        58:{2,3,5,7}:{(36,1),(37,1),(80,1),(83,1),(84,1)}
        59:{1,2,4,6,7}:{(38,1),(82,1),(85,1),(123,1),(133,1)}
        60:{3,6,7}:{(39,1),(83,1),(124,1)}
        61:{2,3,4,6,7}:{(40,1),(87,1),(88,1),(95,1),(142,1),(166,1)}
        62:{3,4,5,6}:{(43,1),(86,1),(89,1),(90,1),(138,1),(151,1)}
        63:{2,3,5,6}:{(40,1),(87,1),(90,1),(91,1),(109,1),(138,1)}
        64:{1,2,4,6}:{(40,1),(41,1),(91,1),(92,1),(139,1)}
        65:{1,3,5,7}:{(41,1),(92,1),(93,1),(104,1),(140,1)}
        66:{3,4,6,7}:{(42,1),(43,1),(86,1),(94,1),(95,1),(142,1),(166,1)}
        67:{1,3,5,6,7}:{(42,1),(44,1),(94,1),(96,1),(134,1),(136,1),(142,1)}
        68:{2,3,5,6,7}:{(42,1),(45,1),(87,1),(95,1),(96,1),(142,1),(165,1)}
        69:{1,4,6}:{(43,1),(44,1),(47,1)}
        70:{2,4,6}:{(43,1),(45,1),(48,1)}
        71:{1,2,5,6}:{(44,1),(45,1),(49,1),(99,1)}
        72:{1,2,3,6}:{(46,1),(54,1),(92,1),(101,1)}
        73:{1,2,4,7}:{(46,1),(55,1),(93,1),(101,1)}
        74:{1,3,4,5,7}:{(47,1),(97,1),(102,1),(104,1),(134,1),(149,1),(166,1),(168,1),(171,1)}
        75:{2,3,4,5,7}:{(48,1),(56,1),(98,1),(103,1),(104,1),(111,1),(148,1),(151,1),(170,1)}
        76:{1,2,4,5,7}:{(47,1),(48,1),(49,1),(99,1),(104,1),(105,1),(146,1)}
        77:{1,2,3,5,7}:{(49,1),(50,1),(58,1),(100,1),(104,1),(105,1),(110,1),(136,1),(165,1)}
        78:{2,3,5,6}:{(52,1),(56,1),(98,1),(106,1),(107,1),(170,1)}
        79:{1,2,4,5,6}:{(51,1),(52,1),(53,1),(57,1),(99,1),(106,1),(107,1),(108,1),(146,1),(150,1)}
        80:{2,3,5,6}:{(53,1),(54,1),(58,1),(107,1),(108,1),(109,1)}
        81:{2,3,4,6}:{(54,1),(55,1),(101,1),(108,1),(109,1),(145,1)}
        82:{1,2,5,7}:{(56,1),(59,1),(106,1),(110,1)}
        83:{3,5,7}:{(57,1),(60,1),(107,1),(111,1)}
        84:{2,4,7}:{(58,1),(108,1),(111,1)}
        85:{1,3,6,7}:{(59,1),(60,1),(110,1),(144,1)}
        86:{3,4,5,7}:{(62,1),(66,1),(112,1),(113,1),(153,1)}
        87:{2,3,5,7}:{(61,1),(63,1),(113,1),(114,1),(153,1)}
        88:{1,2,4,6,7}:{(61,1),(64,1),(114,1),(115,1),(154,1)}
        89:{1,4,5,6}:{(62,1),(69,1),(112,1),(116,1),(164,1)}
        90:{2,4,5,6}:{(62,1),(63,1),(70,1),(113,1),(132,1)}
        91:{1,2,5,6}:{(63,1),(64,1),(114,1),(118,1),(126,1)}
        92:{1,3,6}:{(64,1),(65,1),(124,1)}
        93:{1,3,4,7}:{(65,1),(73,1),(119,1),(129,1),(154,1)}
        94:{1,4,6,7}:{(66,1),(67,1),(69,1),(112,1),(154,1)}
        95:{2,4,6,7}:{(66,1),(68,1),(70,1),(113,1),(172,1)}
        96:{1,2,5,6,7}:{(67,1),(68,1),(71,1),(114,1),(121,1),(152,1)}
        97:{1,3,4,6}:{(69,1),(74,1),(116,1),(122,1),(124,1),(156,1)}
        98:{2,3,4,6}:{(70,1),(75,1),(78,1),(123,1),(124,1),(131,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(71,1),(76,1),(124,1)}
       100:{1,2,3,5,6}:{(71,1),(72,1),(77,1),(80,1),(118,1),(124,1),(125,1),(126,1),(130,1),(155,1),(159,1),(162,1),(174,1)}
       101:{1,2,4,6}:{(72,1),(73,1),(81,1),(119,1),(126,1)}
       102:{1,2,4,5,7}:{(74,1),(122,1),(127,1),(152,1),(163,1),(172,1),(173,1),(174,1)}
       103:{1,2,4,5,7}:{(75,1),(82,1),(123,1),(128,1),(133,1),(163,1),(164,1),(174,1)}
       104:{3,5,7}:{(76,1),(124,1),(129,1),(162,1)}
       105:{1,2,4,7}:{(77,1),(84,1),(125,1),(129,1),(133,1),(154,1),(172,1)}
       106:{1,2,5,6}:{(78,1),(82,1),(123,1),(130,1),(174,1)}
       107:{3,5,6}:{(79,1),(83,1),(124,1),(131,1),(162,1)}
       108:{2,4,6}:{(80,1),(84,1),(131,1),(132,1)}
       109:{2,3,5}:{(81,1),(126,1),(132,1),(162,1)}
       110:{1,3,5,7}:{(82,1),(83,1),(85,1),(130,1),(133,1)}
       111:{3,4,7}:{(83,1),(84,1),(131,1),(133,1)}
       112:{1,4,5,7}:{(86,1),(89,1),(94,1),(134,1)}
       113:{2,4,5,7}:{(86,1),(87,1),(90,1),(95,1)}
       114:{1,2,5,7}:{(87,1),(88,1),(91,1),(136,1)}
       115:{1,3,6,7}:{(88,1),(92,1),(136,1),(142,1)}
       116:{1,3,5,6}:{(89,1),(97,1),(134,1),(137,1),(138,1),(171,1)}
       117:{1,2,4,5,6}:{(89,1),(90,1),(91,1),(99,1),(135,1),(137,1),(138,1),(139,1),(146,1),(167,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(136,1),(138,1),(139,1),(140,1)}
       119:{1,3,4,6}:{(92,1),(93,1),(101,1),(139,1),(140,1),(145,1)}
       120:{1,3,4,6,7}:{(94,1),(97,1),(134,1),(141,1),(142,1),(166,1)}
       121:{1,2,4,6,7}:{(94,1),(95,1),(96,1),(99,1),(135,1),(142,1)}
       122:{1,2,4,6}:{(97,1),(102,1),(137,1),(143,1),(167,1)}
       123:{1,2,4,6}:{(98,1),(103,1),(106,1),(144,1),(150,1)}
       124:{3,6}:{(99,1),(104,1)}
       125:{1,2,4,6}:{(100,1),(105,1),(108,1),(139,1),(145,1),(146,1),(150,1),(167,1)}
       126:{1,2,5}:{(101,1),(109,1),(140,1)}
       127:{2,3,5,7}:{(102,1),(104,1),(143,1),(148,1),(170,1)}
       128:{1,3,5,7}:{(103,1),(104,1),(144,1),(149,1),(171,1)}
       129:{3,4,7}:{(104,1),(105,1),(145,1)}
       130:{1,3,5,6}:{(106,1),(107,1),(110,1),(144,1),(150,1),(171,1)}
       131:{3,4,6}:{(107,1),(108,1),(111,1),(150,1),(151,1)}
       132:{2,4,5}:{(108,1),(109,1),(151,1)}
       133:{1,4,7}:{(110,1),(111,1),(150,1)}
       134:{1,3,5,7}:{(112,1),(116,1),(120,1),(152,1),(153,1)}
       135:{1,2,4,5,7}:{(112,1),(113,1),(114,1),(117,1),(121,1),(152,1),(153,1),(154,1),(172,1)}
       136:{1,3,5,7}:{(114,1),(115,1),(118,1),(153,1),(154,1)}
       137:{1,2,5,6}:{(116,1),(122,1),(152,1),(155,1),(174,1)}
       138:{3,5,6}:{(117,1),(124,1),(153,1),(156,1),(162,1)}
       139:{1,4,6}:{(118,1),(154,1),(156,1),(157,1)}
       140:{1,3,5}:{(119,1),(126,1),(157,1),(162,1)}
       141:{1,2,4,6,7}:{(120,1),(122,1),(152,1),(158,1),(172,1)}
       142:{3,6,7}:{(121,1),(124,1),(153,1)}
       143:{2,3,6}:{(122,1),(124,1),(127,1)}
       144:{1,3,6}:{(123,1),(124,1),(128,1)}
       145:{3,4,6}:{(124,1),(125,1),(129,1),(162,1)}
       146:{1,2,4,5}:{(125,1),(126,1),(132,1),(157,1),(162,1),(164,1),(173,1),(174,1)}
       147:{1,2,3,5,7}:{(127,1),(128,1),(159,1),(163,1),(174,1)}
       148:{2,3,4,7}:{(127,1),(129,1),(160,1),(163,1),(172,1)}
       149:{1,3,4,7}:{(128,1),(129,1),(133,1),(161,1),(163,1)}
       150:{1,4,6}:{(130,1),(131,1),(133,1),(164,1)}
       151:{3,4,5}:{(131,1),(132,1),(162,1),(164,1)}
       152:{1,2,5,7}:{(134,1),(137,1),(141,1),(165,1)}
       153:{3,5,7}:{(135,1),(138,1),(142,1),(166,1)}
       154:{1,4,7}:{(136,1),(139,1),(166,1)}
       155:{2,3,5,6}:{(137,1),(138,1),(143,1),(165,1),(167,1),(170,1)}
       156:{3,4,6}:{(138,1),(139,1),(166,1),(167,1),(168,1)}
       157:{1,4,5}:{(139,1),(140,1),(168,1)}
       158:{2,3,6,7}:{(141,1),(142,1),(143,1),(165,1)}
       159:{1,2,3,6}:{(143,1),(144,1),(147,1),(169,1)}
       160:{2,3,4,6}:{(143,1),(145,1),(148,1),(167,1),(169,1),(170,1)}
       161:{1,3,4,6}:{(144,1),(145,1),(149,1),(150,1),(169,1),(171,1)}
       162:{3,5}:{(145,1),(146,1)}
       163:{1,2,4,7}:{(147,1),(148,1),(149,1),(169,1)}
       164:{1,4,5}:{(150,1),(151,1),(171,1)}
       165:{2,3,5,7}:{(152,1),(153,1),(155,1),(158,1),(172,1)}
       166:{3,4,7}:{(153,1),(154,1),(156,1),(172,1)}
       167:{2,4,6}:{(155,1),(156,1),(172,1),(173,1)}
       168:{3,4,5}:{(156,1),(157,1),(162,1),(173,1)}
       169:{1,2,4,6}:{(159,1),(160,1),(161,1),(163,1),(174,1)}
       170:{2,3,5}:{(160,1),(162,1),(173,1),(174,1)}
       171:{1,3,5}:{(161,1),(162,1),(164,1),(174,1)}
       172:{2,4,7}:{(165,1),(166,1),(167,1)}
       173:{2,4,5}:{(167,1),(168,1),(170,1)}
       174:{1,2,5}:{(169,1),(170,1),(171,1)}

1761 :   0:{1,2,4,5,6,7}:{(1,1),(8,1),(9,1),(10,1),(20,1),(30,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(37,1),(48,1)}
         2:{1,2,3,5,6,7}:{(6,1),(10,1),(21,1),(31,1),(58,1),(59,1),(60,1),(61,1),(63,1),(65,1),(109,1),(110,1),(152,1),(155,1),(168,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(31,1),(54,1),(67,1)}
         4:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(26,1),(31,1),(58,1),(63,1)}
         5:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(24,1),(31,1),(59,1),(65,1)}
         6:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(78,1),(79,1),(86,1),(88,1),(135,1),(166,1),(173,1)}
         7:{3,4,5,7}:{(3,1),(15,1),(16,1),(17,1),(48,1)}
         8:{1,4,6,7}:{(3,1),(4,1),(16,1),(78,1),(86,1)}
         9:{2,4,6,7}:{(3,1),(5,1),(17,1),(79,1),(88,1)}
        10:{1,2,5,6,7}:{(4,1),(5,1),(18,1),(42,1),(45,1),(83,1)}
        11:{1,2,4,5,7}:{(6,1),(20,1),(21,1),(55,1),(56,1),(60,1),(154,1)}
        12:{3,4,6,7}:{(6,1),(21,1),(31,1),(54,1),(67,1),(152,1),(153,1),(171,1)}
        13:{2,3,4,6,7}:{(9,1),(24,1),(25,1),(31,1),(52,1),(67,1)}
        14:{1,3,4,6,7}:{(8,1),(26,1),(27,1),(31,1),(32,1),(67,1)}
        15:{3,4,5,6}:{(7,1),(28,1),(29,1),(54,1),(66,1),(172,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(26,1),(28,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(24,1),(29,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(30,1),(31,1),(107,1)}
        19:{1,3,4,5,7}:{(26,1),(32,1),(33,1),(55,1),(67,1),(108,1),(114,1),(119,1),(157,1)}
        20:{1,2,4,5,6}:{(11,1),(37,1),(78,1),(79,1),(83,1)}
        21:{3,5,7}:{(11,1),(12,1),(37,1),(165,1)}
        22:{1,3,4,6,7}:{(12,1),(38,1),(40,1),(43,1),(78,1),(86,1),(128,1),(133,1),(134,1),(140,1),(141,1),(166,1)}
        23:{2,3,4,6,7}:{(12,1),(39,1),(40,1),(46,1),(79,1),(88,1),(96,1),(133,1),(134,1),(160,1),(161,1),(173,1)}
        24:{2,3,5,7}:{(13,1),(17,1),(41,1),(42,1),(48,1)}
        25:{1,2,4,6,7}:{(13,1),(42,1),(43,1),(74,1),(86,1)}
        26:{1,3,5,7}:{(14,1),(16,1),(44,1),(45,1),(48,1)}
        27:{1,2,4,6,7}:{(14,1),(45,1),(46,1),(50,1),(88,1)}
        28:{1,4,5,6}:{(15,1),(16,1),(44,1),(78,1),(167,1)}
        29:{2,4,5,6}:{(15,1),(17,1),(41,1),(79,1),(174,1)}
        30:{1,2,4,5,7}:{(16,1),(17,1),(18,1),(42,1),(45,1),(47,1),(48,1),(86,1),(88,1)}
        31:{3,6,7}:{(18,1),(48,1),(133,1)}
        32:{1,3,4,6}:{(19,1),(44,1),(50,1),(78,1),(89,1),(133,1)}
        33:{1,2,4,5,7}:{(19,1),(45,1),(50,1),(51,1),(88,1),(95,1),(137,1),(142,1)}
        34:{2,3,4,5,7}:{(24,1),(52,1),(53,1),(56,1),(67,1),(108,1),(114,1),(147,1),(170,1)}
        35:{3,4,5,7}:{(21,1),(54,1),(55,1),(56,1),(67,1),(108,1),(114,1),(171,1),(172,1)}
        36:{1,2,4,5,6,7}:{(20,1),(57,1),(105,1),(106,1),(109,1),(150,1)}
        37:{3,5,6}:{(20,1),(21,1),(54,1)}
        38:{1,3,5,7}:{(21,1),(22,1),(55,1),(58,1),(60,1),(108,1),(149,1),(157,1)}
        39:{2,3,5,7}:{(21,1),(23,1),(56,1),(59,1),(60,1),(108,1),(121,1),(170,1)}
        40:{1,2,4,6,7}:{(22,1),(23,1),(60,1),(61,1),(107,1),(111,1),(120,1),(148,1)}
        41:{2,3,5,6}:{(24,1),(29,1),(52,1),(62,1),(66,1),(170,1)}
        42:{1,2,5,7}:{(24,1),(25,1),(62,1),(63,1)}
        43:{1,3,6,7}:{(25,1),(31,1),(63,1),(100,1)}
        44:{1,3,5,6}:{(26,1),(28,1),(32,1),(64,1),(66,1),(157,1)}
        45:{1,2,5,7}:{(26,1),(27,1),(64,1),(65,1)}
        46:{2,3,6,7}:{(27,1),(31,1),(65,1),(71,1)}
        47:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(62,1),(64,1),(66,1),(107,1),(112,1),(113,1),(154,1)}
        48:{3,5,7}:{(30,1),(31,1),(66,1),(67,1)}
        49:{2,3,4,5,7}:{(56,1),(68,1),(69,1),(72,1),(108,1),(115,1),(121,1),(171,1),(172,1)}
        50:{1,2,4,6}:{(32,1),(33,1),(64,1),(71,1),(113,1)}
        51:{2,3,5,7}:{(33,1),(71,1),(72,1),(108,1),(121,1)}
        52:{2,3,4,6}:{(34,1),(41,1),(74,1),(79,1),(89,1),(133,1)}
        53:{1,2,4,5,7}:{(34,1),(42,1),(74,1),(75,1),(86,1),(127,1),(136,1),(162,1)}
        54:{3,4,6}:{(35,1),(37,1),(78,1),(79,1),(133,1)}
        55:{1,4,5,7}:{(35,1),(38,1),(78,1),(86,1),(136,1),(166,1),(167,1)}
        56:{2,4,5,7}:{(35,1),(39,1),(79,1),(88,1),(137,1),(173,1),(174,1)}
        57:{3,5,6,7}:{(36,1),(37,1),(77,1),(163,1)}
        58:{1,3,5,6}:{(37,1),(38,1),(78,1),(83,1),(133,1)}
        59:{2,3,5,6}:{(37,1),(39,1),(79,1),(83,1),(133,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(40,1),(83,1),(142,1),(162,1)}
        61:{1,2,3,6,7}:{(40,1),(43,1),(46,1),(84,1),(94,1),(126,1),(133,1),(140,1),(160,1)}
        62:{1,2,5,6}:{(41,1),(42,1),(74,1),(85,1),(162,1)}
        63:{1,3,5,7}:{(42,1),(43,1),(48,1),(85,1),(86,1)}
        64:{1,2,5,6}:{(44,1),(45,1),(50,1),(87,1),(142,1)}
        65:{2,3,5,7}:{(45,1),(46,1),(48,1),(87,1),(88,1)}
        66:{3,5,6}:{(47,1),(48,1),(89,1),(133,1),(165,1)}
        67:{3,4,7}:{(48,1),(86,1),(88,1),(89,1)}
        68:{2,3,4,6}:{(49,1),(79,1),(90,1),(92,1),(133,1),(164,1)}
        69:{1,2,4,5,7}:{(49,1),(92,1),(93,1),(95,1),(138,1),(142,1),(166,1),(167,1)}
        70:{1,2,3,5,7}:{(51,1),(93,1),(94,1),(95,1),(142,1)}
        71:{2,3,6}:{(50,1),(51,1),(133,1)}
        72:{2,3,4,7}:{(51,1),(88,1),(95,1),(96,1),(134,1)}
        73:{1,3,4,5,7}:{(55,1),(97,1),(98,1),(101,1),(108,1),(143,1),(149,1),(171,1),(172,1)}
        74:{1,2,4,6}:{(52,1),(53,1),(62,1),(100,1),(112,1)}
        75:{1,3,5,7}:{(53,1),(100,1),(101,1),(108,1),(149,1)}
        76:{3,4,5,6}:{(54,1),(102,1),(103,1),(104,1),(114,1),(151,1)}
        77:{3,4,6,7}:{(54,1),(57,1),(102,1),(105,1),(106,1),(152,1),(171,1)}
        78:{1,4,6}:{(54,1),(55,1),(58,1)}
        79:{2,4,6}:{(54,1),(56,1),(59,1)}
        80:{1,2,4,5,7}:{(55,1),(56,1),(60,1),(107,1),(108,1),(111,1),(154,1)}
        81:{1,3,5,6,7}:{(57,1),(58,1),(105,1),(109,1),(143,1),(152,1),(155,1)}
        82:{2,3,5,6,7}:{(57,1),(59,1),(106,1),(109,1),(115,1),(152,1),(168,1)}
        83:{1,2,5,6}:{(58,1),(59,1),(60,1),(107,1)}
        84:{1,2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(108,1),(110,1),(111,1),(155,1),(168,1)}
        85:{1,3,5,6}:{(62,1),(63,1),(66,1),(100,1),(112,1),(149,1)}
        86:{1,4,7}:{(63,1),(67,1),(112,1)}
        87:{2,3,5,6}:{(64,1),(65,1),(66,1),(71,1),(113,1),(121,1)}
        88:{2,4,7}:{(65,1),(67,1),(113,1)}
        89:{3,4,6}:{(66,1),(67,1),(112,1),(113,1),(114,1)}
        90:{2,3,5,6}:{(68,1),(104,1),(115,1),(116,1),(121,1),(151,1)}
        91:{2,3,4,6,7}:{(68,1),(106,1),(115,1),(117,1),(152,1),(171,1)}
        92:{1,2,4,6}:{(68,1),(69,1),(116,1),(118,1),(156,1)}
        93:{1,3,5,7}:{(69,1),(108,1),(118,1),(119,1),(157,1)}
        94:{1,2,3,6}:{(70,1),(71,1),(118,1),(120,1)}
        95:{1,2,4,7}:{(70,1),(72,1),(119,1),(120,1)}
        96:{2,3,4,6}:{(71,1),(72,1),(113,1),(120,1),(121,1),(153,1)}
        97:{1,3,4,6}:{(73,1),(78,1),(122,1),(124,1),(133,1),(164,1)}
        98:{1,2,4,5,7}:{(73,1),(124,1),(125,1),(127,1),(158,1),(162,1),(173,1),(174,1)}
        99:{1,2,3,5,7}:{(75,1),(125,1),(126,1),(127,1),(162,1)}
       100:{1,3,6}:{(74,1),(75,1),(133,1)}
       101:{1,3,4,7}:{(75,1),(86,1),(127,1),(128,1),(134,1)}
       102:{3,4,5,7}:{(76,1),(77,1),(129,1),(130,1),(163,1)}
       103:{1,4,5,6}:{(76,1),(78,1),(122,1),(129,1),(136,1)}
       104:{2,4,5,6}:{(76,1),(79,1),(90,1),(130,1),(137,1)}
       105:{1,4,6,7}:{(77,1),(78,1),(81,1),(129,1),(166,1)}
       106:{2,4,6,7}:{(77,1),(79,1),(82,1),(130,1),(173,1)}
       107:{1,2,4,6}:{(78,1),(79,1),(80,1),(83,1),(133,1)}
       108:{3,5,7}:{(80,1),(133,1),(134,1),(165,1)}
       109:{1,2,5,6,7}:{(81,1),(82,1),(83,1),(132,1),(138,1),(158,1)}
       110:{1,2,3,5,6}:{(83,1),(84,1),(85,1),(87,1),(94,1),(126,1),(133,1),(135,1),(139,1),(142,1),(159,1),(162,1),(165,1)}
       111:{1,2,4,7}:{(84,1),(86,1),(88,1),(134,1),(135,1),(166,1),(173,1)}
       112:{1,4,6}:{(85,1),(86,1),(89,1),(136,1)}
       113:{2,4,6}:{(87,1),(88,1),(89,1),(137,1)}
       114:{3,4,5}:{(89,1),(136,1),(137,1),(165,1)}
       115:{2,3,5,7}:{(90,1),(91,1),(130,1),(138,1),(163,1)}
       116:{1,2,5,6}:{(90,1),(92,1),(138,1),(139,1),(142,1)}
       117:{1,2,4,6,7}:{(91,1),(92,1),(138,1),(140,1),(166,1)}
       118:{1,3,6}:{(92,1),(93,1),(133,1)}
       119:{1,3,4,7}:{(93,1),(95,1),(134,1),(141,1),(166,1)}
       120:{1,2,4,6}:{(94,1),(95,1),(96,1),(141,1),(142,1)}
       121:{2,3,5}:{(96,1),(137,1),(142,1),(165,1)}
       122:{1,3,5,6}:{(97,1),(103,1),(143,1),(144,1),(149,1),(151,1)}
       123:{1,3,4,6,7}:{(97,1),(105,1),(143,1),(145,1),(152,1),(171,1)}
       124:{1,2,4,6}:{(97,1),(98,1),(144,1),(146,1),(169,1)}
       125:{2,3,5,7}:{(98,1),(108,1),(146,1),(147,1),(170,1)}
       126:{1,2,3,6}:{(99,1),(100,1),(146,1),(148,1)}
       127:{1,2,4,7}:{(99,1),(101,1),(147,1),(148,1)}
       128:{1,3,4,6}:{(100,1),(101,1),(112,1),(148,1),(149,1),(153,1)}
       129:{1,4,5,7}:{(102,1),(103,1),(105,1),(143,1)}
       130:{2,4,5,7}:{(102,1),(104,1),(106,1),(115,1)}
       131:{1,2,4,5,6}:{(103,1),(104,1),(107,1),(116,1),(144,1),(150,1),(151,1),(154,1),(156,1),(169,1)}
       132:{1,2,4,6,7}:{(105,1),(106,1),(107,1),(109,1),(150,1),(152,1)}
       133:{3,6}:{(107,1),(108,1)}
       134:{3,4,7}:{(108,1),(111,1),(153,1)}
       135:{1,2,4,6}:{(110,1),(111,1),(112,1),(113,1),(153,1),(154,1),(156,1),(169,1)}
       136:{1,4,5}:{(112,1),(114,1),(149,1)}
       137:{2,4,5}:{(113,1),(114,1),(121,1)}
       138:{1,2,5,7}:{(115,1),(116,1),(117,1),(155,1)}
       139:{1,3,5,6}:{(116,1),(118,1),(151,1),(155,1),(156,1),(157,1)}
       140:{1,3,6,7}:{(117,1),(118,1),(152,1),(155,1)}
       141:{1,3,4,6}:{(118,1),(119,1),(120,1),(153,1),(156,1),(157,1)}
       142:{1,2,5}:{(120,1),(121,1),(157,1)}
       143:{1,3,5,7}:{(122,1),(123,1),(129,1),(158,1),(163,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(158,1),(159,1),(162,1)}
       145:{1,2,4,6,7}:{(123,1),(124,1),(158,1),(160,1),(173,1)}
       146:{2,3,6}:{(124,1),(125,1),(133,1)}
       147:{2,3,4,7}:{(125,1),(127,1),(134,1),(161,1),(173,1)}
       148:{1,2,4,6}:{(126,1),(127,1),(128,1),(161,1),(162,1)}
       149:{1,3,5}:{(128,1),(136,1),(162,1),(165,1)}
       150:{1,2,4,5,7}:{(129,1),(130,1),(131,1),(132,1),(138,1),(158,1),(163,1),(166,1),(173,1)}
       151:{3,5,6}:{(131,1),(133,1),(163,1),(164,1),(165,1)}
       152:{3,6,7}:{(132,1),(133,1),(163,1)}
       153:{3,4,6}:{(133,1),(134,1),(135,1),(165,1)}
       154:{1,2,4,5}:{(135,1),(136,1),(137,1),(142,1),(162,1),(165,1),(167,1),(174,1)}
       155:{1,3,5,7}:{(138,1),(139,1),(140,1),(163,1),(166,1)}
       156:{1,4,6}:{(139,1),(164,1),(166,1),(167,1)}
       157:{1,3,5}:{(141,1),(142,1),(165,1),(167,1)}
       158:{1,2,5,7}:{(143,1),(144,1),(145,1),(168,1)}
       159:{2,3,5,6}:{(144,1),(146,1),(151,1),(168,1),(169,1),(170,1)}
       160:{2,3,6,7}:{(145,1),(146,1),(152,1),(168,1)}
       161:{2,3,4,6}:{(146,1),(147,1),(148,1),(153,1),(169,1),(170,1)}
       162:{1,2,5}:{(148,1),(149,1),(170,1)}
       163:{3,5,7}:{(150,1),(151,1),(152,1),(171,1)}
       164:{3,4,6}:{(151,1),(156,1),(169,1),(171,1),(172,1)}
       165:{3,5}:{(153,1),(154,1)}
       166:{1,4,7}:{(155,1),(156,1),(171,1)}
       167:{1,4,5}:{(156,1),(157,1),(172,1)}
       168:{2,3,5,7}:{(158,1),(159,1),(160,1),(163,1),(173,1)}
       169:{2,4,6}:{(159,1),(164,1),(173,1),(174,1)}
       170:{2,3,5}:{(161,1),(162,1),(165,1),(174,1)}
       171:{3,4,7}:{(163,1),(164,1),(166,1),(173,1)}
       172:{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)}

1762 :   0:{1,3,4,5,7}:{(1,1),(2,1),(17,1),(51,1),(111,1),(128,1),(129,1),(166,1),(174,1),(179,1)}
         1:{1,3,4,6}:{(0,1),(6,1),(8,1),(97,1),(187,1),(192,1),(195,1)}
         2:{1,2,4,5,7}:{(0,1),(8,1),(9,1),(31,1),(39,1),(90,1),(98,1),(99,1)}
         3:{2,3,4,5,7}:{(10,1),(11,1),(21,1),(47,1),(69,1),(130,1),(164,1),(165,1),(174,1),(199,1)}
         4:{1,4,5,6,7}:{(13,1),(59,1),(198,1)}
         5:{3,4,5,6}:{(14,1),(15,1),(16,1),(65,1),(165,1),(200,1)}
         6:{1,3,5,6}:{(1,1),(15,1),(17,1),(18,1),(65,1),(111,1),(204,1)}
         7:{1,3,4,6,7}:{(1,1),(17,1),(19,1),(59,1),(124,1),(128,1),(176,1)}
         8:{1,2,4,6}:{(1,1),(2,1),(18,1),(20,1),(67,1)}
         9:{2,3,5,7}:{(2,1),(20,1),(21,1),(69,1),(174,1)}
        10:{2,3,4,6}:{(3,1),(24,1),(26,1),(138,1),(158,1),(192,1),(207,1)}
        11:{1,2,4,5,7}:{(3,1),(26,1),(27,1),(31,1),(77,1),(90,1),(139,1),(140,1)}
        12:{1,2,3,5,7}:{(9,1),(27,1),(30,1),(31,1),(90,1)}
        13:{3,5,6,7}:{(4,1),(32,1),(34,1),(206,1)}
        14:{3,4,5,7}:{(5,1),(32,1),(36,1),(37,1),(96,1)}
        15:{1,4,5,6}:{(5,1),(6,1),(36,1),(140,1),(187,1)}
        16:{2,4,5,6}:{(5,1),(35,1),(37,1),(185,1),(207,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(36,1),(39,1),(96,1),(193,1)}
        18:{1,2,5,6}:{(6,1),(8,1),(39,1),(40,1),(90,1)}
        19:{1,2,4,6,7}:{(7,1),(8,1),(39,1),(41,1),(98,1)}
        20:{2,3,6}:{(8,1),(9,1),(192,1)}
        21:{2,3,4,7}:{(9,1),(31,1),(42,1),(98,1),(148,1)}
        22:{2,4,5,6,7}:{(43,1),(102,1),(178,1)}
        23:{3,4,5,6}:{(44,1),(45,1),(46,1),(107,1),(129,1),(180,1)}
        24:{2,3,5,6}:{(10,1),(46,1),(47,1),(48,1),(69,1),(107,1),(209,1)}
        25:{2,3,4,6,7}:{(10,1),(47,1),(49,1),(102,1),(160,1),(164,1),(196,1)}
        26:{1,2,4,6}:{(10,1),(11,1),(48,1),(50,1),(109,1)}
        27:{1,3,5,7}:{(11,1),(50,1),(51,1),(111,1),(174,1)}
        28:{2,3,4,5}:{(52,1),(53,1),(118,1),(129,1),(173,1)}
        29:{1,3,4,5}:{(54,1),(55,1),(115,1),(165,1),(171,1)}
        30:{1,2,3,6}:{(12,1),(20,1),(50,1),(58,1)}
        31:{1,2,4,7}:{(12,1),(21,1),(51,1),(58,1)}
        32:{3,4,6,7}:{(13,1),(14,1),(59,1),(60,1),(124,1),(200,1)}
        33:{1,3,5,6,7}:{(13,1),(17,1),(59,1),(61,1),(124,1),(167,1)}
        34:{2,5,6,7}:{(13,1),(60,1),(209,1)}
        35:{2,3,5,6}:{(16,1),(52,1),(62,1),(63,1),(65,1),(173,1),(203,1)}
        36:{1,4,5,7}:{(14,1),(15,1),(17,1),(59,1)}
        37:{2,4,5,7}:{(14,1),(16,1),(60,1),(62,1)}
        38:{1,2,4,5,6}:{(15,1),(16,1),(18,1),(63,1),(64,1),(65,1),(67,1),(121,1),(127,1),(175,1),(178,1),(204,1)}
        39:{1,2,5,7}:{(17,1),(18,1),(19,1),(66,1)}
        40:{2,3,5,6}:{(18,1),(20,1),(65,1),(66,1),(67,1),(69,1)}
        41:{2,3,6,7}:{(19,1),(20,1),(66,1),(124,1)}
        42:{2,3,4,6}:{(20,1),(21,1),(58,1),(67,1),(69,1),(119,1)}
        43:{3,5,6,7}:{(22,1),(70,1),(71,1),(194,1)}
        44:{3,4,5,7}:{(23,1),(70,1),(74,1),(75,1),(137,1)}
        45:{1,4,5,6}:{(23,1),(73,1),(74,1),(156,1),(195,1)}
        46:{2,4,5,6}:{(23,1),(24,1),(75,1),(99,1),(158,1)}
        47:{2,3,5,7}:{(24,1),(25,1),(75,1),(77,1),(137,1),(205,1)}
        48:{1,2,5,6}:{(24,1),(26,1),(77,1),(78,1),(90,1)}
        49:{1,2,4,6,7}:{(25,1),(26,1),(77,1),(79,1),(139,1)}
        50:{1,3,6}:{(26,1),(27,1),(192,1)}
        51:{1,3,4,7}:{(27,1),(31,1),(80,1),(139,1),(148,1)}
        52:{2,3,4,6}:{(28,1),(35,1),(81,1),(82,1),(97,1)}
        53:{1,2,4,5}:{(28,1),(82,1),(83,1),(143,1),(156,1),(189,1)}
        54:{1,3,4,6}:{(29,1),(73,1),(84,1),(85,1),(138,1)}
        55:{1,2,4,5}:{(29,1),(85,1),(86,1),(143,1),(185,1),(189,1)}
        56:{1,2,3,5,6}:{(30,1),(40,1),(78,1),(87,1),(88,1),(90,1),(95,1),(136,1),(142,1),(149,1),(151,1),(189,1),(192,1),(208,1)}
        57:{1,2,3,6,7}:{(30,1),(41,1),(79,1),(87,1),(89,1),(152,1),(181,1),(192,1),(208,1)}
        58:{1,2,4,6}:{(30,1),(31,1),(42,1),(80,1),(90,1)}
        59:{1,4,6,7}:{(32,1),(33,1),(36,1),(187,1)}
        60:{2,4,6,7}:{(32,1),(34,1),(37,1),(91,1),(207,1)}
        61:{1,2,5,6,7}:{(33,1),(34,1),(39,1),(92,1),(93,1),(151,1),(193,1)}
        62:{2,3,5,7}:{(35,1),(37,1),(81,1),(91,1),(94,1),(96,1)}
        63:{1,2,5,6}:{(35,1),(82,1),(94,1),(95,1),(189,1),(208,1)}
        64:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(39,1),(92,1),(94,1),(96,1),(98,1),(154,1),(155,1),(193,1)}
        65:{3,5,6}:{(38,1),(96,1),(97,1),(149,1),(192,1)}
        66:{2,3,5,7}:{(39,1),(40,1),(41,1),(96,1),(98,1)}
        67:{2,4,6}:{(40,1),(97,1),(98,1),(99,1)}
        68:{2,3,4,6,7}:{(41,1),(42,1),(89,1),(98,1),(100,1),(148,1),(153,1),(158,1),(192,1)}
        69:{2,3,5}:{(42,1),(90,1),(99,1),(149,1)}
        70:{3,4,6,7}:{(43,1),(44,1),(101,1),(102,1),(160,1),(180,1)}
        71:{1,5,6,7}:{(43,1),(101,1),(204,1)}
        72:{2,3,5,6,7}:{(43,1),(47,1),(102,1),(103,1),(131,1),(160,1)}
        73:{1,3,5,6}:{(45,1),(54,1),(104,1),(105,1),(107,1),(171,1),(202,1)}
        74:{1,4,5,7}:{(44,1),(45,1),(101,1),(104,1)}
        75:{2,4,5,7}:{(44,1),(46,1),(47,1),(102,1)}
        76:{1,2,4,5,6}:{(45,1),(46,1),(48,1),(105,1),(106,1),(107,1),(109,1),(121,1),(163,1),(175,1),(198,1),(209,1)}
        77:{1,2,5,7}:{(47,1),(48,1),(49,1),(108,1)}
        78:{1,3,5,6}:{(48,1),(50,1),(107,1),(108,1),(109,1),(111,1)}
        79:{1,3,6,7}:{(49,1),(50,1),(108,1),(160,1)}
        80:{1,3,4,6}:{(50,1),(51,1),(58,1),(109,1),(111,1),(119,1)}
        81:{2,3,4,7}:{(52,1),(62,1),(113,1),(128,1)}
        82:{1,2,4,6}:{(52,1),(53,1),(63,1),(113,1),(114,1),(127,1)}
        83:{1,3,5}:{(53,1),(114,1),(115,1)}
        84:{1,3,4,7}:{(54,1),(104,1),(116,1),(164,1)}
        85:{1,2,4,6}:{(54,1),(55,1),(105,1),(116,1),(117,1),(163,1)}
        86:{2,3,5}:{(55,1),(117,1),(118,1)}
        87:{1,2,3,5,7}:{(56,1),(57,1),(66,1),(108,1),(120,1),(122,1),(126,1),(162,1),(168,1),(174,1),(201,1)}
        88:{1,2,4,6}:{(56,1),(67,1),(109,1),(119,1),(120,1),(121,1),(127,1),(163,1)}
        89:{1,2,4,6,7}:{(57,1),(58,1),(68,1),(110,1),(120,1),(122,1),(175,1),(176,1),(196,1)}
        90:{1,2,5}:{(58,1),(69,1),(111,1)}
        91:{2,3,6,7}:{(60,1),(62,1),(123,1),(124,1),(203,1)}
        92:{1,2,4,6,7}:{(59,1),(60,1),(61,1),(64,1),(123,1),(124,1),(125,1),(175,1),(176,1)}
        93:{2,3,5,6,7}:{(61,1),(66,1),(124,1),(125,1),(131,1),(177,1)}
        94:{1,2,5,7}:{(62,1),(63,1),(113,1),(123,1),(126,1)}
        95:{1,3,5,6}:{(63,1),(65,1),(114,1),(126,1),(127,1),(171,1),(202,1),(204,1)}
        96:{3,5,7}:{(64,1),(65,1),(124,1),(128,1)}
        97:{3,4,6}:{(65,1),(67,1),(127,1),(128,1),(129,1)}
        98:{2,4,7}:{(66,1),(67,1),(128,1)}
        99:{2,4,5}:{(67,1),(69,1),(129,1)}
       100:{2,3,5,7}:{(68,1),(69,1),(122,1),(130,1),(131,1),(174,1),(177,1)}
       101:{1,4,6,7}:{(70,1),(71,1),(74,1),(132,1),(195,1)}
       102:{2,4,6,7}:{(70,1),(72,1),(75,1),(158,1)}
       103:{1,2,5,6,7}:{(71,1),(72,1),(77,1),(133,1),(134,1),(151,1),(205,1)}
       104:{1,3,5,7}:{(73,1),(74,1),(84,1),(132,1),(135,1),(137,1)}
       105:{1,2,5,6}:{(73,1),(85,1),(135,1),(136,1),(189,1),(208,1)}
       106:{1,2,4,5,7}:{(74,1),(75,1),(76,1),(77,1),(133,1),(135,1),(137,1),(139,1),(183,1),(184,1),(205,1)}
       107:{3,5,6}:{(76,1),(137,1),(138,1),(149,1),(192,1)}
       108:{1,3,5,7}:{(77,1),(78,1),(79,1),(137,1),(139,1)}
       109:{1,4,6}:{(78,1),(138,1),(139,1),(140,1)}
       110:{1,3,4,6,7}:{(79,1),(80,1),(89,1),(139,1),(141,1),(148,1),(182,1),(187,1),(192,1)}
       111:{1,3,5}:{(80,1),(90,1),(140,1),(149,1)}
       112:{1,2,3,5}:{(83,1),(86,1),(142,1),(143,1),(189,1)}
       113:{1,2,4,7}:{(81,1),(82,1),(94,1),(144,1),(155,1)}
       114:{1,3,6}:{(82,1),(83,1),(144,1)}
       115:{1,3,4}:{(83,1),(143,1)}
       116:{1,2,4,7}:{(84,1),(85,1),(135,1),(146,1),(184,1)}
       117:{2,3,6}:{(85,1),(86,1),(146,1)}
       118:{2,3,4}:{(86,1),(143,1)}
       119:{3,4,6}:{(88,1),(148,1),(149,1),(192,1)}
       120:{1,2,4,7}:{(87,1),(88,1),(98,1),(139,1),(148,1),(155,1),(184,1)}
       121:{1,2,4,5}:{(88,1),(90,1),(99,1),(140,1),(149,1),(156,1),(185,1),(189,1)}
       122:{1,2,5,7}:{(89,1),(90,1),(100,1),(141,1),(151,1),(193,1),(205,1)}
       123:{1,2,6,7}:{(91,1),(94,1),(152,1),(208,1)}
       124:{3,6,7}:{(92,1),(96,1),(192,1)}
       125:{2,4,6,7}:{(93,1),(98,1),(153,1),(154,1),(158,1)}
       126:{1,3,5,7}:{(94,1),(95,1),(96,1),(144,1),(152,1),(155,1),(193,1)}
       127:{1,4,6}:{(95,1),(97,1),(155,1),(156,1)}
       128:{3,4,7}:{(96,1),(97,1),(98,1),(155,1)}
       129:{3,4,5}:{(97,1),(99,1),(149,1),(156,1)}
       130:{2,4,5,7}:{(98,1),(99,1),(100,1),(157,1),(158,1)}
       131:{2,3,5,6}:{(100,1),(151,1),(158,1),(192,1),(194,1)}
       132:{1,3,6,7}:{(101,1),(104,1),(159,1),(160,1),(202,1)}
       133:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(106,1),(159,1),(160,1),(161,1),(175,1),(196,1)}
       134:{1,3,5,6,7}:{(103,1),(108,1),(160,1),(161,1),(167,1),(197,1)}
       135:{1,2,5,7}:{(104,1),(105,1),(116,1),(159,1),(162,1)}
       136:{2,3,5,6}:{(105,1),(107,1),(117,1),(162,1),(163,1),(173,1),(203,1),(209,1)}
       137:{3,5,7}:{(106,1),(107,1),(160,1),(164,1)}
       138:{3,4,6}:{(107,1),(109,1),(163,1),(164,1),(165,1)}
       139:{1,4,7}:{(108,1),(109,1),(164,1)}
       140:{1,4,5}:{(109,1),(111,1),(165,1)}
       141:{1,3,5,7}:{(110,1),(111,1),(122,1),(166,1),(167,1),(174,1),(197,1)}
       142:{1,2,3,6}:{(112,1),(114,1),(117,1),(168,1),(169,1)}
       143:{1,2,4}:{(112,1),(115,1),(118,1)}
       144:{1,3,7}:{(113,1),(114,1)}
       145:{1,3,4,6}:{(114,1),(115,1),(119,1),(127,1),(169,1),(170,1),(171,1),(202,1)}
       146:{2,3,7}:{(116,1),(117,1)}
       147:{2,3,4,6}:{(117,1),(118,1),(119,1),(163,1),(169,1),(172,1),(173,1),(203,1)}
       148:{3,4,7}:{(119,1),(120,1),(174,1)}
       149:{3,5}:{(119,1),(121,1)}
       150:{1,2,4,5,7}:{(120,1),(121,1),(122,1),(130,1),(166,1),(174,1),(175,1),(179,1),(199,1),(201,1)}
       151:{1,2,5,6}:{(122,1),(131,1),(167,1),(175,1),(204,1),(209,1)}
       152:{1,3,6,7}:{(123,1),(124,1),(126,1),(176,1),(202,1)}
       153:{3,4,6,7}:{(124,1),(125,1),(128,1),(176,1),(177,1),(180,1)}
       154:{2,4,5,7}:{(125,1),(177,1),(178,1)}
       155:{1,4,7}:{(126,1),(127,1),(128,1)}
       156:{1,4,5}:{(127,1),(129,1),(171,1)}
       157:{3,4,5,7}:{(128,1),(129,1),(130,1),(174,1),(177,1),(179,1),(180,1)}
       158:{2,4,6}:{(130,1),(131,1),(180,1)}
       159:{1,2,6,7}:{(132,1),(135,1),(181,1),(208,1)}
       160:{3,6,7}:{(133,1),(137,1),(192,1)}
       161:{1,4,6,7}:{(134,1),(139,1),(182,1),(183,1),(187,1)}
       162:{2,3,5,7}:{(135,1),(136,1),(137,1),(146,1),(181,1),(184,1),(205,1)}
       163:{2,4,6}:{(136,1),(138,1),(184,1),(185,1)}
       164:{3,4,7}:{(137,1),(138,1),(139,1),(184,1)}
       165:{3,4,5}:{(138,1),(140,1),(149,1),(185,1)}
       166:{1,4,5,7}:{(139,1),(140,1),(141,1),(186,1),(187,1)}
       167:{1,3,5,6}:{(141,1),(151,1),(187,1),(192,1),(206,1)}
       168:{1,2,3,7}:{(142,1),(144,1),(146,1),(188,1)}
       169:{1,2,4,6}:{(142,1),(143,1),(145,1),(147,1),(188,1),(189,1),(208,1)}
       170:{1,3,4,7}:{(144,1),(145,1),(148,1),(155,1),(188,1),(190,1)}
       171:{1,3,5}:{(145,1),(149,1),(156,1),(189,1)}
       172:{2,3,4,7}:{(146,1),(147,1),(148,1),(184,1),(188,1),(191,1)}
       173:{2,3,5}:{(147,1),(149,1),(185,1),(189,1)}
       174:{3,5,7}:{(148,1),(149,1),(150,1),(192,1)}
       175:{1,2,4,6}:{(150,1),(151,1),(158,1),(187,1),(192,1),(195,1),(207,1),(208,1)}
       176:{1,4,6,7}:{(152,1),(153,1),(155,1),(193,1),(195,1)}
       177:{3,5,7}:{(153,1),(154,1),(193,1),(194,1)}
       178:{2,4,5,6}:{(154,1),(158,1),(194,1)}
       179:{1,4,5,7}:{(155,1),(156,1),(157,1),(190,1),(193,1),(195,1)}
       180:{3,4,6}:{(157,1),(158,1),(192,1),(194,1),(195,1)}
       181:{2,3,6,7}:{(159,1),(160,1),(162,1),(196,1),(203,1)}
       182:{3,4,6,7}:{(160,1),(161,1),(164,1),(196,1),(197,1),(200,1)}
       183:{1,4,5,7}:{(161,1),(197,1),(198,1)}
       184:{2,4,7}:{(162,1),(163,1),(164,1)}
       185:{2,4,5}:{(163,1),(165,1),(173,1)}
       186:{3,4,5,7}:{(164,1),(165,1),(166,1),(174,1),(197,1),(199,1),(200,1)}
       187:{1,4,6}:{(166,1),(167,1),(200,1)}
       188:{1,2,4,7}:{(168,1),(169,1),(170,1),(172,1),(201,1)}
       189:{1,2,5}:{(169,1),(171,1),(173,1)}
       190:{1,3,5,7}:{(170,1),(171,1),(174,1),(179,1),(201,1),(202,1)}
       191:{2,3,5,7}:{(172,1),(173,1),(174,1),(199,1),(201,1),(203,1)}
       192:{3,6}:{(174,1),(175,1)}
       193:{1,5,7}:{(176,1),(177,1),(204,1)}
       194:{3,5,6}:{(177,1),(178,1),(180,1),(204,1)}
       195:{1,4,6}:{(179,1),(180,1),(202,1),(204,1)}
       196:{2,4,6,7}:{(181,1),(182,1),(184,1),(205,1),(207,1)}
       197:{3,5,7}:{(182,1),(183,1),(205,1),(206,1)}
       198:{1,4,5,6}:{(183,1),(187,1),(206,1)}
       199:{2,4,5,7}:{(184,1),(185,1),(186,1),(191,1),(205,1),(207,1)}
       200:{3,4,6}:{(186,1),(187,1),(192,1),(206,1),(207,1)}
       201:{1,2,5,7}:{(188,1),(189,1),(190,1),(191,1),(208,1)}
       202:{1,3,6}:{(190,1),(192,1),(195,1),(208,1)}
       203:{2,3,6}:{(191,1),(192,1),(207,1),(208,1)}
       204:{1,5,6}:{(193,1),(194,1),(195,1)}
       205:{2,5,7}:{(196,1),(197,1),(209,1)}
       206:{3,5,6}:{(197,1),(198,1),(200,1),(209,1)}
       207:{2,4,6}:{(199,1),(200,1),(203,1),(209,1)}
       208:{1,2,6}:{(201,1),(202,1),(203,1)}
       209:{2,5,6}:{(205,1),(206,1),(207,1)}

1763 :   0:{1,2,4,5,6}:{(2,1),(3,1),(17,1),(18,1),(19,1),(42,1),(51,1),(77,1),(78,1),(81,1),(99,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(62,1),(63,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(24,1),(29,1),(30,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(6,1),(7,1),(69,1),(91,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(12,1),(43,1),(96,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(44,1),(45,1),(46,1),(81,1)}
         6:{3,5,7}:{(2,1),(3,1),(12,1),(13,1)}
         7:{3,4,6}:{(3,1),(13,1),(16,1),(17,1),(18,1),(52,1),(83,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(40,1),(52,1),(56,1),(73,1),(77,1),(84,1),(96,1),(99,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(21,1),(52,1),(53,1),(76,1),(78,1),(94,1),(96,1),(103,1)}
        10:{2,3,4,6}:{(18,1),(20,1),(21,1),(22,1),(52,1),(53,1),(83,1),(98,1)}
        11:{4,6,7}:{(4,1),(24,1),(101,1)}
        12:{3,6,7}:{(5,1),(6,1),(91,1)}
        13:{3,4,7}:{(6,1),(7,1),(29,1),(30,1),(68,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(26,1),(29,1),(31,1),(62,1),(68,1),(90,1)}
        15:{2,3,5,7}:{(6,1),(9,1),(27,1),(30,1),(31,1),(63,1),(68,1),(90,1)}
        16:{3,4,5}:{(7,1),(32,1),(33,1),(69,1),(102,1)}
        17:{1,4,6}:{(7,1),(8,1),(29,1),(32,1),(72,1),(101,1)}
        18:{2,4,6}:{(7,1),(9,1),(30,1),(33,1),(88,1),(101,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(37,1),(59,1),(70,1),(86,1)}
        20:{2,3,4,7}:{(10,1),(30,1),(35,1),(36,1),(68,1),(92,1)}
        21:{2,3,5}:{(10,1),(33,1),(37,1),(69,1),(102,1)}
        22:{1,2,4,6}:{(10,1),(36,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        23:{1,3,4,6}:{(17,1),(39,1),(40,1),(41,1),(52,1),(73,1),(83,1),(98,1)}
        24:{4,5,7}:{(11,1),(42,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(13,1),(43,1),(44,1),(45,1),(47,1),(80,1),(97,1),(98,1)}
        26:{1,3,6,7}:{(12,1),(14,1),(44,1),(46,1),(73,1),(80,1),(84,1)}
        27:{2,3,6,7}:{(12,1),(15,1),(45,1),(46,1),(53,1),(80,1),(94,1)}
        28:{3,4,5,7}:{(13,1),(16,1),(43,1),(47,1),(48,1),(49,1),(82,1),(97,1),(104,1)}
        29:{1,4,7}:{(13,1),(14,1),(17,1),(97,1)}
        30:{2,4,7}:{(13,1),(15,1),(18,1),(97,1)}
        31:{1,2,5,7}:{(14,1),(15,1),(19,1),(46,1),(50,1)}
        32:{1,4,5}:{(16,1),(17,1),(40,1),(99,1),(104,1)}
        33:{2,4,5}:{(16,1),(18,1),(21,1),(103,1),(104,1)}
        34:{1,2,4,6}:{(17,1),(18,1),(19,1),(50,1),(51,1),(52,1)}
        35:{2,3,5,7}:{(20,1),(21,1),(49,1),(53,1),(54,1),(82,1)}
        36:{1,2,4,7}:{(20,1),(22,1),(54,1),(55,1),(85,1)}
        37:{1,2,5}:{(21,1),(22,1),(56,1),(99,1)}
        38:{1,3,6}:{(22,1),(52,1),(55,1),(56,1)}
        39:{1,3,4,7}:{(23,1),(29,1),(57,1),(58,1),(68,1),(92,1)}
        40:{1,3,5}:{(23,1),(32,1),(59,1),(69,1),(102,1)}
        41:{1,2,4,6}:{(23,1),(58,1),(59,1),(60,1),(86,1),(88,1),(100,1)}
        42:{4,5,6}:{(24,1),(61,1),(101,1)}
        43:{3,5,7}:{(24,1),(25,1),(61,1),(62,1),(63,1),(102,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(62,1),(65,1),(93,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(63,1),(66,1),(100,1)}
        46:{1,2,6,7}:{(26,1),(27,1),(31,1),(70,1),(86,1)}
        47:{3,4,6}:{(28,1),(61,1),(65,1),(66,1),(91,1),(101,1)}
        48:{1,4,5,7}:{(28,1),(29,1),(32,1),(57,1),(62,1),(65,1)}
        49:{2,4,5,7}:{(28,1),(30,1),(33,1),(35,1),(63,1),(66,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(68,1)}
        51:{1,2,4,5}:{(32,1),(33,1),(34,1),(37,1),(59,1),(69,1),(72,1),(88,1)}
        52:{3,6}:{(34,1),(68,1),(69,1)}
        53:{2,3,6}:{(35,1),(66,1),(70,1),(91,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(37,1),(70,1),(71,1)}
        55:{1,3,7}:{(36,1),(38,1),(68,1)}
        56:{1,3,5}:{(37,1),(38,1),(69,1),(72,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(48,1),(73,1),(74,1),(82,1)}
        58:{1,2,4,7}:{(39,1),(41,1),(74,1),(75,1),(95,1)}
        59:{1,2,5}:{(40,1),(41,1),(76,1),(103,1)}
        60:{2,3,6}:{(41,1),(52,1),(75,1),(76,1)}
        61:{3,5,6}:{(42,1),(43,1),(47,1),(77,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(77,1),(99,1)}
        63:{2,5,7}:{(43,1),(45,1),(78,1),(103,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(50,1),(79,1),(80,1),(81,1),(97,1)}
        65:{1,4,6}:{(47,1),(48,1),(73,1),(77,1)}
        66:{2,4,6}:{(47,1),(49,1),(53,1),(78,1)}
        67:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(51,1),(54,1),(74,1),(79,1),(81,1),(82,1),(85,1),(95,1),(97,1),(99,1),(103,1),(104,1)}
        68:{3,7}:{(50,1),(52,1)}
        69:{3,5}:{(51,1),(52,1),(83,1)}
        70:{1,2,6}:{(53,1),(54,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(56,1),(82,1),(84,1),(85,1),(99,1)}
        72:{1,4}:{(56,1),(83,1)}
        73:{1,3,6}:{(57,1),(65,1),(86,1),(91,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(86,1),(87,1)}
        75:{2,3,7}:{(58,1),(60,1),(68,1)}
        76:{2,3,5}:{(59,1),(60,1),(69,1),(88,1)}
        77:{1,5,6}:{(61,1),(62,1),(65,1)}
        78:{2,5,6}:{(61,1),(63,1),(66,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(89,1),(90,1)}
        80:{3,6,7}:{(64,1),(68,1),(90,1),(91,1)}
        81:{1,2,4,6}:{(65,1),(66,1),(67,1),(70,1),(86,1),(89,1),(91,1),(93,1),(100,1),(101,1)}
        82:{3,5,7}:{(67,1),(68,1),(69,1),(91,1),(92,1),(102,1)}
        83:{3,4}:{(69,1),(72,1),(88,1)}
        84:{1,3,6}:{(70,1),(71,1),(91,1),(93,1)}
        85:{1,4,7}:{(71,1),(72,1),(92,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(94,1),(95,1),(103,1)}
        88:{2,4}:{(76,1),(83,1)}
        89:{1,2,5,6}:{(77,1),(78,1),(79,1),(81,1),(96,1),(99,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{3,6}:{(81,1),(82,1)}
        92:{3,4,7}:{(82,1),(83,1),(85,1),(95,1),(97,1),(98,1)}
        93:{1,4,6}:{(84,1),(85,1),(98,1),(99,1)}
        94:{2,3,6}:{(86,1),(87,1),(91,1),(100,1)}
        95:{2,4,7}:{(87,1),(88,1),(92,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(91,1),(101,1),(102,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{3,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(102,1)}
        99:{1,5}:{(93,1),(102,1)}
       100:{2,4,6}:{(94,1),(95,1),(98,1),(103,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{3,5}:{(98,1),(99,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1764 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(19,1),(20,1),(21,1),(44,1),(76,1),(95,1),(96,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(114,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(16,1),(20,1),(124,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(14,1),(76,1),(100,1),(122,1)}
         4:{1,2,4,5,6}:{(2,1),(10,1),(26,1),(27,1),(31,1)}
         5:{3,5,7}:{(2,1),(3,1),(10,1),(132,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(59,1),(60,1),(88,1),(89,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(59,1),(60,1),(90,1),(91,1),(114,1)}
         8:{3,4,5,7}:{(5,1),(14,1),(15,1),(16,1),(43,1),(100,1),(101,1)}
         9:{1,2,4,5,6,7}:{(4,1),(17,1),(40,1),(41,1),(44,1),(67,1),(109,1)}
        10:{3,5,6}:{(4,1),(5,1),(14,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(15,1),(18,1),(20,1),(43,1),(105,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(16,1),(19,1),(20,1),(43,1),(107,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(42,1),(46,1),(103,1)}
        14:{3,4,6}:{(8,1),(10,1),(26,1),(27,1),(59,1)}
        15:{1,4,5,7}:{(8,1),(11,1),(26,1),(112,1),(113,1)}
        16:{2,4,5,7}:{(8,1),(12,1),(27,1),(114,1),(115,1)}
        17:{3,5,6,7}:{(9,1),(10,1),(25,1),(84,1),(121,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(26,1),(31,1),(59,1)}
        19:{2,3,5,6}:{(10,1),(12,1),(27,1),(31,1),(59,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(31,1),(118,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(59,1),(86,1),(88,1),(90,1)}
        22:{3,4,5,6}:{(14,1),(33,1),(34,1),(35,1),(68,1),(101,1),(127,1)}
        23:{2,3,4,5,7}:{(16,1),(36,1),(37,1),(43,1),(63,1),(75,1),(100,1),(101,1),(107,1),(126,1),(137,1)}
        24:{1,3,4,5,7}:{(15,1),(38,1),(39,1),(43,1),(65,1),(72,1),(100,1),(101,1),(105,1),(125,1),(137,1)}
        25:{3,4,6,7}:{(14,1),(17,1),(33,1),(40,1),(41,1),(76,1),(100,1),(127,1)}
        26:{1,4,6}:{(14,1),(15,1),(18,1)}
        27:{2,4,6}:{(14,1),(16,1),(19,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(20,1),(42,1),(43,1),(46,1),(79,1)}
        29:{1,3,5,6,7}:{(17,1),(18,1),(40,1),(44,1),(65,1),(76,1),(96,1),(129,1)}
        30:{2,3,5,6,7}:{(17,1),(19,1),(41,1),(44,1),(63,1),(76,1),(98,1),(130,1)}
        31:{1,2,5,6}:{(18,1),(19,1),(20,1),(42,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(46,1),(96,1),(98,1)}
        33:{3,4,5,7}:{(22,1),(25,1),(49,1),(50,1),(84,1)}
        34:{1,4,5,6}:{(22,1),(26,1),(48,1),(49,1),(113,1),(134,1)}
        35:{2,4,5,6}:{(22,1),(27,1),(47,1),(50,1),(115,1),(135,1)}
        36:{2,3,4,6}:{(23,1),(27,1),(47,1),(53,1),(59,1),(85,1),(135,1),(139,1)}
        37:{1,2,4,5,7}:{(23,1),(53,1),(54,1),(80,1),(87,1),(112,1),(113,1),(118,1)}
        38:{1,3,4,6}:{(24,1),(26,1),(48,1),(56,1),(59,1),(85,1),(134,1),(139,1)}
        39:{1,2,4,5,7}:{(24,1),(56,1),(57,1),(82,1),(87,1),(114,1),(115,1),(118,1)}
        40:{1,4,6,7}:{(25,1),(26,1),(29,1),(49,1),(112,1),(134,1)}
        41:{2,4,6,7}:{(25,1),(27,1),(30,1),(50,1),(114,1),(135,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(59,1)}
        43:{3,5,7}:{(28,1),(59,1),(60,1),(93,1)}
        44:{1,2,5,6,7}:{(29,1),(30,1),(31,1),(58,1),(80,1),(82,1),(136,1)}
        45:{1,2,3,5,6}:{(31,1),(32,1),(59,1),(62,1),(81,1),(83,1),(86,1),(93,1),(118,1)}
        46:{1,2,4,7}:{(32,1),(60,1),(62,1),(112,1),(114,1)}
        47:{2,3,5,6}:{(35,1),(36,1),(63,1),(64,1),(68,1),(107,1)}
        48:{1,3,5,6}:{(34,1),(38,1),(65,1),(66,1),(68,1),(105,1)}
        49:{1,4,5,7}:{(33,1),(34,1),(40,1),(65,1)}
        50:{2,4,5,7}:{(33,1),(35,1),(41,1),(63,1)}
        51:{1,2,4,5,6}:{(34,1),(35,1),(42,1),(64,1),(66,1),(67,1),(68,1),(79,1),(97,1),(99,1),(124,1),(138,1)}
        52:{2,3,4,6,7}:{(36,1),(41,1),(63,1),(70,1),(76,1),(100,1)}
        53:{1,2,4,6}:{(36,1),(37,1),(64,1),(71,1),(97,1)}
        54:{1,3,5,7}:{(37,1),(43,1),(71,1),(72,1),(105,1),(137,1)}
        55:{1,3,4,6,7}:{(38,1),(40,1),(65,1),(73,1),(76,1),(100,1)}
        56:{1,2,4,6}:{(38,1),(39,1),(66,1),(74,1),(99,1)}
        57:{2,3,5,7}:{(39,1),(43,1),(74,1),(75,1),(107,1),(137,1)}
        58:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(44,1),(67,1),(76,1),(138,1)}
        59:{3,6}:{(42,1),(43,1)}
        60:{3,4,7}:{(43,1),(46,1),(77,1)}
        61:{1,2,3,5,6,7}:{(44,1),(45,1),(76,1),(78,1),(96,1),(98,1),(102,1),(108,1),(128,1),(129,1),(130,1)}
        62:{1,2,4,6}:{(45,1),(46,1),(77,1),(79,1),(97,1),(99,1)}
        63:{2,3,5,7}:{(47,1),(50,1),(52,1),(80,1),(84,1)}
        64:{1,2,5,6}:{(47,1),(53,1),(80,1),(81,1),(118,1)}
        65:{1,3,5,7}:{(48,1),(49,1),(55,1),(82,1),(84,1)}
        66:{1,2,5,6}:{(48,1),(56,1),(82,1),(83,1),(118,1)}
        67:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(58,1),(80,1),(82,1),(84,1),(112,1),(114,1)}
        68:{3,5,6}:{(51,1),(59,1),(84,1),(85,1),(93,1),(132,1),(139,1)}
        69:{1,2,3,5,7}:{(54,1),(57,1),(86,1),(87,1),(118,1)}
        70:{1,2,4,6,7}:{(52,1),(53,1),(80,1),(88,1),(112,1)}
        71:{1,3,6}:{(53,1),(54,1),(59,1),(139,1)}
        72:{1,3,4,7}:{(54,1),(60,1),(87,1),(89,1),(112,1),(131,1)}
        73:{1,2,4,6,7}:{(55,1),(56,1),(82,1),(90,1),(114,1)}
        74:{2,3,6}:{(56,1),(57,1),(59,1),(139,1)}
        75:{2,3,4,7}:{(57,1),(60,1),(87,1),(91,1),(114,1),(131,1)}
        76:{3,6,7}:{(58,1),(59,1),(84,1),(139,1)}
        77:{3,4,6}:{(59,1),(60,1),(62,1),(93,1)}
        78:{1,2,4,6,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(114,1),(134,1),(135,1)}
        79:{1,2,4,5}:{(62,1),(93,1),(113,1),(115,1),(118,1)}
        80:{1,2,5,7}:{(63,1),(64,1),(70,1),(96,1)}
        81:{1,3,5,6}:{(64,1),(68,1),(71,1),(96,1),(97,1),(105,1)}
        82:{1,2,5,7}:{(65,1),(66,1),(73,1),(98,1)}
        83:{2,3,5,6}:{(66,1),(68,1),(74,1),(98,1),(99,1),(107,1)}
        84:{3,5,7}:{(67,1),(68,1),(76,1),(100,1)}
        85:{3,4,6}:{(68,1),(97,1),(99,1),(100,1),(101,1)}
        86:{1,2,3,6}:{(69,1),(71,1),(74,1),(103,1)}
        87:{1,2,4,7}:{(69,1),(72,1),(75,1),(103,1)}
        88:{1,3,6,7}:{(70,1),(71,1),(76,1),(96,1)}
        89:{1,3,4,6}:{(71,1),(72,1),(77,1),(97,1),(103,1),(105,1),(122,1)}
        90:{2,3,6,7}:{(73,1),(74,1),(76,1),(98,1)}
        91:{2,3,4,6}:{(74,1),(75,1),(77,1),(99,1),(103,1),(107,1),(122,1)}
        92:{3,4,6,7}:{(76,1),(77,1),(78,1),(100,1),(108,1),(127,1)}
        93:{3,5}:{(77,1),(79,1)}
        94:{1,2,4,5,7}:{(78,1),(79,1),(108,1),(109,1),(125,1),(126,1),(128,1)}
        95:{1,2,3,5,6}:{(81,1),(83,1),(86,1),(110,1),(111,1),(118,1),(132,1),(136,1),(139,1)}
        96:{1,3,5,7}:{(80,1),(81,1),(84,1),(88,1),(112,1)}
        97:{1,4,6}:{(81,1),(85,1),(112,1),(113,1)}
        98:{2,3,5,7}:{(82,1),(83,1),(84,1),(90,1),(114,1)}
        99:{2,4,6}:{(83,1),(85,1),(114,1),(115,1)}
       100:{3,4,7}:{(84,1),(85,1),(112,1),(114,1)}
       101:{3,4,5}:{(85,1),(93,1),(113,1),(115,1),(132,1)}
       102:{1,2,3,6,7}:{(86,1),(88,1),(90,1),(110,1),(117,1),(139,1)}
       103:{1,2,4,6}:{(86,1),(87,1),(89,1),(91,1),(118,1)}
       104:{1,3,4,6,7}:{(88,1),(89,1),(92,1),(112,1),(117,1),(119,1),(131,1),(134,1),(139,1)}
       105:{1,3,5}:{(89,1),(93,1),(113,1),(118,1),(132,1)}
       106:{2,3,4,6,7}:{(90,1),(91,1),(92,1),(114,1),(117,1),(120,1),(131,1),(135,1),(139,1)}
       107:{2,3,5}:{(91,1),(93,1),(115,1),(118,1),(132,1)}
       108:{3,5,7}:{(92,1),(93,1),(94,1),(121,1)}
       109:{1,2,4,5,6}:{(94,1),(121,1),(134,1),(135,1),(136,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(102,1),(123,1),(128,1),(137,1)}
       111:{1,2,4,6}:{(95,1),(97,1),(99,1),(122,1),(123,1),(124,1)}
       112:{1,4,7}:{(96,1),(97,1),(100,1)}
       113:{1,4,5}:{(97,1),(101,1),(105,1)}
       114:{2,4,7}:{(98,1),(99,1),(100,1)}
       115:{2,4,5}:{(99,1),(101,1),(107,1)}
       116:{3,4,5,7}:{(100,1),(101,1),(108,1),(125,1),(126,1),(127,1),(137,1)}
       117:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(106,1),(123,1),(128,1),(138,1)}
       118:{1,2,5}:{(103,1),(105,1),(107,1)}
       119:{1,3,5,7}:{(104,1),(105,1),(108,1),(125,1),(128,1),(129,1),(137,1)}
       120:{2,3,5,7}:{(106,1),(107,1),(108,1),(126,1),(128,1),(130,1),(137,1)}
       121:{3,5,6}:{(108,1),(109,1),(127,1)}
       122:{3,4,6}:{(111,1),(131,1),(132,1),(139,1)}
       123:{1,2,4,7}:{(110,1),(111,1),(112,1),(114,1),(131,1)}
       124:{1,2,4,5}:{(111,1),(113,1),(115,1),(118,1),(132,1)}
       125:{1,4,5,7}:{(112,1),(113,1),(116,1),(119,1),(134,1)}
       126:{2,4,5,7}:{(114,1),(115,1),(116,1),(120,1),(135,1)}
       127:{3,4,6}:{(116,1),(121,1),(134,1),(135,1),(139,1)}
       128:{1,2,5,7}:{(117,1),(118,1),(119,1),(120,1),(136,1)}
       129:{1,3,5,6}:{(119,1),(121,1),(134,1),(136,1),(139,1)}
       130:{2,3,5,6}:{(120,1),(121,1),(135,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(137,1)}
       132:{3,5}:{(122,1),(124,1)}
       133:{1,2,4,5,7}:{(123,1),(124,1),(125,1),(126,1),(128,1),(137,1),(138,1)}
       134:{1,4,6}:{(125,1),(127,1),(129,1)}
       135:{2,4,6}:{(126,1),(127,1),(130,1)}
       136:{1,2,5,6}:{(128,1),(129,1),(130,1),(138,1)}
       137:{3,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       138:{1,2,4,6}:{(133,1),(134,1),(135,1),(136,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1765 :   0:{3,4,5,6}:{(2,1),(3,1),(4,1),(29,1),(191,1),(198,1),(220,1)}
         1:{1,3,4,5}:{(5,1),(6,1),(79,1),(84,1),(150,1)}
         2:{3,4,5,7}:{(0,1),(11,1),(12,1),(13,1),(50,1),(174,1)}
         3:{1,4,5,6}:{(0,1),(9,1),(12,1),(178,1),(214,1)}
         4:{2,4,5,6}:{(0,1),(8,1),(13,1),(204,1),(225,1)}
         5:{1,3,4,6}:{(1,1),(9,1),(16,1),(17,1),(51,1)}
         6:{1,2,4,5}:{(1,1),(17,1),(18,1),(57,1),(109,1),(119,1)}
         7:{2,3,4,5}:{(19,1),(20,1),(79,1),(125,1),(185,1)}
         8:{2,3,5,6}:{(4,1),(19,1),(21,1),(22,1),(29,1),(185,1),(217,1)}
         9:{1,3,5,6}:{(3,1),(5,1),(23,1),(24,1),(29,1),(150,1),(201,1)}
        10:{4,5,6,7}:{(25,1),(143,1),(230,1)}
        11:{3,4,6,7}:{(2,1),(25,1),(26,1),(27,1),(77,1),(143,1),(220,1)}
        12:{1,4,5,7}:{(2,1),(3,1),(23,1),(26,1)}
        13:{2,4,5,7}:{(2,1),(4,1),(21,1),(27,1)}
        14:{1,2,4,5,6}:{(3,1),(4,1),(22,1),(24,1),(28,1),(29,1),(72,1),(75,1),(138,1),(195,1),(196,1),(197,1),(198,1)}
        15:{2,3,4,5}:{(30,1),(31,1),(35,1),(88,1),(191,1)}
        16:{1,3,4,7}:{(5,1),(23,1),(33,1),(78,1)}
        17:{1,2,4,6}:{(5,1),(6,1),(24,1),(33,1),(34,1),(75,1)}
        18:{2,3,5}:{(6,1),(34,1),(35,1)}
        19:{2,3,4,6}:{(7,1),(8,1),(37,1),(38,1),(51,1)}
        20:{1,2,4,5}:{(7,1),(38,1),(39,1),(94,1),(106,1),(159,1)}
        21:{2,3,5,7}:{(8,1),(13,1),(37,1),(41,1),(42,1),(50,1)}
        22:{1,2,5,6}:{(8,1),(38,1),(42,1),(43,1),(159,1),(206,1)}
        23:{1,3,5,7}:{(9,1),(12,1),(16,1),(44,1),(45,1),(50,1)}
        24:{1,2,5,6}:{(9,1),(17,1),(45,1),(46,1),(119,1),(180,1)}
        25:{3,5,6,7}:{(10,1),(11,1),(47,1),(48,1),(227,1)}
        26:{1,4,6,7}:{(11,1),(12,1),(44,1),(47,1),(214,1)}
        27:{2,4,6,7}:{(11,1),(13,1),(41,1),(48,1),(225,1)}
        28:{1,2,4,5,7}:{(12,1),(13,1),(14,1),(42,1),(45,1),(49,1),(50,1),(105,1),(108,1),(170,1),(172,1),(174,1)}
        29:{3,5,6}:{(14,1),(50,1),(51,1),(167,1),(211,1)}
        30:{2,3,4,6}:{(15,1),(52,1),(53,1),(54,1),(165,1)}
        31:{1,2,4,5}:{(15,1),(54,1),(55,1),(57,1),(119,1),(178,1)}
        32:{1,2,3,5}:{(18,1),(55,1),(56,1),(57,1),(119,1)}
        33:{1,2,4,7}:{(16,1),(17,1),(45,1),(58,1),(108,1)}
        34:{2,3,6}:{(17,1),(18,1),(58,1)}
        35:{2,3,4}:{(18,1),(57,1)}
        36:{1,3,4,5}:{(60,1),(61,1),(65,1),(129,1),(191,1)}
        37:{2,3,4,7}:{(19,1),(21,1),(63,1),(78,1)}
        38:{1,2,4,6}:{(19,1),(20,1),(22,1),(63,1),(64,1),(72,1)}
        39:{1,3,5}:{(20,1),(64,1),(65,1)}
        40:{3,4,5,6}:{(66,1),(67,1),(68,1),(79,1),(134,1),(145,1),(230,1)}
        41:{2,3,6,7}:{(21,1),(27,1),(70,1),(77,1),(217,1)}
        42:{1,2,5,7}:{(21,1),(22,1),(63,1),(70,1),(71,1)}
        43:{1,3,5,6}:{(22,1),(29,1),(64,1),(71,1),(72,1),(129,1),(187,1),(196,1)}
        44:{1,3,6,7}:{(23,1),(26,1),(73,1),(77,1),(201,1)}
        45:{1,2,5,7}:{(23,1),(24,1),(33,1),(73,1),(74,1)}
        46:{2,3,5,6}:{(24,1),(29,1),(34,1),(74,1),(75,1),(88,1),(152,1),(197,1)}
        47:{1,5,6,7}:{(25,1),(26,1),(223,1)}
        48:{2,5,6,7}:{(25,1),(27,1),(229,1)}
        49:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(70,1),(73,1),(76,1),(77,1),(139,1),(141,1),(143,1),(195,1)}
        50:{3,5,7}:{(28,1),(29,1),(77,1),(78,1)}
        51:{3,4,6}:{(29,1),(72,1),(75,1),(78,1),(79,1)}
        52:{2,3,5,6}:{(30,1),(68,1),(80,1),(81,1),(88,1),(134,1),(152,1)}
        53:{2,3,4,7}:{(30,1),(80,1),(82,1),(190,1)}
        54:{1,2,4,6}:{(30,1),(31,1),(81,1),(82,1),(83,1),(148,1)}
        55:{1,3,5}:{(31,1),(83,1),(84,1)}
        56:{1,2,3,6}:{(32,1),(34,1),(83,1),(85,1),(86,1)}
        57:{1,2,4}:{(32,1),(35,1),(84,1)}
        58:{2,3,7}:{(33,1),(34,1)}
        59:{2,3,4,6}:{(34,1),(35,1),(75,1),(86,1),(87,1),(88,1),(135,1),(152,1)}
        60:{1,3,4,6}:{(36,1),(89,1),(90,1),(91,1),(165,1)}
        61:{1,2,4,5}:{(36,1),(91,1),(92,1),(94,1),(159,1),(204,1)}
        62:{1,2,3,5}:{(39,1),(92,1),(93,1),(94,1),(159,1)}
        63:{1,2,4,7}:{(37,1),(38,1),(42,1),(95,1),(105,1)}
        64:{1,3,6}:{(38,1),(39,1),(95,1)}
        65:{1,3,4}:{(39,1),(94,1)}
        66:{3,4,5,7}:{(40,1),(98,1),(99,1),(100,1),(164,1),(226,1)}
        67:{1,4,5,6}:{(40,1),(89,1),(99,1),(106,1),(171,1)}
        68:{2,4,5,6}:{(40,1),(52,1),(100,1),(109,1),(173,1)}
        69:{1,2,3,5,6}:{(43,1),(46,1),(56,1),(93,1),(102,1),(103,1),(115,1),(119,1),(155,1),(159,1),(167,1),(180,1),(206,1),(211,1),(212,1)}
        70:{1,2,6,7}:{(41,1),(42,1),(104,1),(206,1)}
        71:{1,3,5,7}:{(42,1),(43,1),(50,1),(95,1),(104,1),(105,1),(170,1)}
        72:{1,4,6}:{(43,1),(51,1),(105,1),(106,1)}
        73:{1,2,6,7}:{(44,1),(45,1),(107,1),(180,1)}
        74:{2,3,5,7}:{(45,1),(46,1),(50,1),(58,1),(107,1),(108,1),(172,1)}
        75:{2,4,6}:{(46,1),(51,1),(108,1),(109,1)}
        76:{1,2,5,6,7}:{(47,1),(48,1),(49,1),(110,1),(170,1),(172,1),(212,1)}
        77:{3,6,7}:{(49,1),(50,1),(211,1)}
        78:{3,4,7}:{(50,1),(51,1),(105,1),(108,1)}
        79:{3,4,5}:{(51,1),(106,1),(109,1),(167,1)}
        80:{2,3,5,7}:{(52,1),(53,1),(100,1),(113,1),(114,1),(164,1)}
        81:{1,2,5,6}:{(52,1),(54,1),(114,1),(115,1),(119,1),(180,1)}
        82:{1,2,4,7}:{(53,1),(54,1),(114,1),(116,1),(177,1)}
        83:{1,3,6}:{(54,1),(55,1),(116,1)}
        84:{1,3,4}:{(55,1),(57,1)}
        85:{1,2,3,7}:{(56,1),(58,1),(116,1),(118,1)}
        86:{1,2,4,6}:{(56,1),(57,1),(59,1),(117,1),(118,1),(119,1),(180,1)}
        87:{2,3,4,7}:{(58,1),(59,1),(108,1),(118,1),(120,1),(166,1)}
        88:{2,3,5}:{(59,1),(109,1),(119,1),(167,1)}
        89:{1,3,5,6}:{(60,1),(67,1),(121,1),(122,1),(129,1),(134,1),(187,1)}
        90:{1,3,4,7}:{(60,1),(121,1),(123,1),(190,1)}
        91:{1,2,4,6}:{(60,1),(61,1),(122,1),(123,1),(124,1),(183,1)}
        92:{2,3,5}:{(61,1),(124,1),(125,1)}
        93:{1,2,3,6}:{(62,1),(64,1),(124,1),(126,1),(127,1)}
        94:{1,2,4}:{(62,1),(65,1),(125,1)}
        95:{1,3,7}:{(63,1),(64,1)}
        96:{1,3,4,6}:{(64,1),(65,1),(72,1),(127,1),(128,1),(129,1),(135,1),(187,1)}
        97:{4,5,6,7}:{(130,1),(198,1),(218,1)}
        98:{3,4,6,7}:{(66,1),(130,1),(131,1),(132,1),(145,1),(189,1),(218,1)}
        99:{1,4,5,7}:{(66,1),(67,1),(121,1),(131,1)}
       100:{2,4,5,7}:{(66,1),(68,1),(80,1),(132,1)}
       101:{1,2,4,5,6}:{(67,1),(68,1),(81,1),(122,1),(133,1),(134,1),(138,1),(148,1),(183,1),(195,1),(223,1),(229,1),(230,1)}
       102:{1,2,3,5,7}:{(69,1),(71,1),(74,1),(85,1),(126,1),(136,1),(137,1),(147,1),(151,1),(182,1),(186,1),(193,1),(194,1)}
       103:{1,2,4,6}:{(69,1),(72,1),(75,1),(135,1),(137,1),(138,1),(148,1),(183,1)}
       104:{1,3,6,7}:{(70,1),(71,1),(77,1),(139,1),(187,1)}
       105:{1,4,7}:{(71,1),(72,1),(78,1)}
       106:{1,4,5}:{(72,1),(79,1),(129,1)}
       107:{2,3,6,7}:{(73,1),(74,1),(77,1),(141,1),(152,1)}
       108:{2,4,7}:{(74,1),(75,1),(78,1)}
       109:{2,4,5}:{(75,1),(79,1),(88,1)}
       110:{3,5,6,7}:{(76,1),(77,1),(143,1),(144,1),(222,1)}
       111:{3,4,6,7}:{(77,1),(78,1),(139,1),(141,1),(143,1),(144,1),(145,1)}
       112:{3,4,5,7}:{(78,1),(79,1),(140,1),(142,1),(144,1),(145,1),(193,1),(221,1)}
       113:{2,3,6,7}:{(80,1),(132,1),(146,1),(152,1),(189,1)}
       114:{1,2,5,7}:{(80,1),(81,1),(82,1),(146,1),(147,1)}
       115:{1,3,5,6}:{(81,1),(83,1),(134,1),(147,1),(148,1),(150,1),(201,1),(223,1)}
       116:{1,3,7}:{(82,1),(83,1)}
       117:{1,3,4,6}:{(83,1),(84,1),(86,1),(135,1),(148,1),(149,1),(150,1),(201,1)}
       118:{1,2,4,7}:{(85,1),(86,1),(87,1),(149,1),(151,1)}
       119:{1,2,5}:{(86,1),(88,1),(150,1)}
       120:{2,3,5,7}:{(87,1),(88,1),(142,1),(151,1),(152,1),(193,1)}
       121:{1,3,5,7}:{(89,1),(90,1),(99,1),(153,1),(154,1),(164,1)}
       122:{1,2,5,6}:{(89,1),(91,1),(154,1),(155,1),(159,1),(206,1)}
       123:{1,2,4,7}:{(90,1),(91,1),(154,1),(156,1),(203,1)}
       124:{2,3,6}:{(91,1),(92,1),(156,1)}
       125:{2,3,4}:{(92,1),(94,1)}
       126:{1,2,3,7}:{(93,1),(95,1),(156,1),(158,1)}
       127:{1,2,4,6}:{(93,1),(94,1),(96,1),(157,1),(158,1),(159,1),(206,1)}
       128:{1,3,4,7}:{(95,1),(96,1),(105,1),(158,1),(160,1),(166,1)}
       129:{1,3,5}:{(96,1),(106,1),(159,1),(167,1)}
       130:{3,5,6,7}:{(97,1),(98,1),(161,1),(162,1),(175,1)}
       131:{1,4,6,7}:{(98,1),(99,1),(153,1),(161,1),(171,1)}
       132:{2,4,6,7}:{(98,1),(100,1),(113,1),(162,1),(173,1)}
       133:{1,2,4,5,7}:{(99,1),(100,1),(101,1),(114,1),(154,1),(163,1),(164,1),(177,1),(203,1),(213,1),(224,1),(226,1)}
       134:{3,5,6}:{(101,1),(164,1),(165,1),(167,1),(211,1)}
       135:{3,4,6}:{(103,1),(166,1),(167,1),(211,1)}
       136:{1,2,3,6,7}:{(102,1),(104,1),(107,1),(168,1),(176,1),(180,1),(202,1),(206,1),(211,1)}
       137:{1,2,4,7}:{(102,1),(103,1),(105,1),(108,1),(166,1),(177,1),(203,1)}
       138:{1,2,4,5}:{(103,1),(106,1),(109,1),(119,1),(159,1),(167,1),(178,1),(204,1)}
       139:{1,4,6,7}:{(104,1),(105,1),(111,1),(170,1),(171,1)}
       140:{1,4,5,7}:{(105,1),(106,1),(112,1),(160,1),(170,1),(171,1)}
       141:{2,4,6,7}:{(107,1),(108,1),(111,1),(172,1),(173,1)}
       142:{2,4,5,7}:{(108,1),(109,1),(112,1),(120,1),(172,1),(173,1)}
       143:{4,6,7}:{(110,1),(174,1),(228,1)}
       144:{3,5,7}:{(111,1),(170,1),(172,1),(174,1),(175,1)}
       145:{3,4,6}:{(112,1),(171,1),(173,1),(175,1),(211,1),(228,1)}
       146:{1,2,6,7}:{(113,1),(114,1),(176,1),(180,1)}
       147:{1,3,5,7}:{(114,1),(115,1),(116,1),(164,1),(176,1),(177,1),(213,1)}
       148:{1,4,6}:{(115,1),(165,1),(177,1),(178,1)}
       149:{1,3,4,7}:{(116,1),(117,1),(118,1),(166,1),(177,1),(179,1)}
       150:{1,3,5}:{(117,1),(119,1),(167,1),(178,1)}
       151:{1,2,5,7}:{(118,1),(119,1),(120,1),(179,1),(180,1)}
       152:{2,3,6}:{(120,1),(173,1),(180,1),(211,1)}
       153:{1,3,6,7}:{(121,1),(131,1),(181,1),(187,1),(189,1)}
       154:{1,2,5,7}:{(121,1),(122,1),(123,1),(181,1),(182,1)}
       155:{2,3,5,6}:{(122,1),(124,1),(134,1),(182,1),(183,1),(185,1),(217,1),(229,1)}
       156:{2,3,7}:{(123,1),(124,1)}
       157:{2,3,4,6}:{(124,1),(125,1),(127,1),(135,1),(183,1),(184,1),(185,1),(217,1)}
       158:{1,2,4,7}:{(126,1),(127,1),(128,1),(184,1),(186,1)}
       159:{1,2,5}:{(127,1),(129,1),(185,1)}
       160:{1,3,5,7}:{(128,1),(129,1),(140,1),(186,1),(187,1),(193,1)}
       161:{1,5,6,7}:{(130,1),(131,1),(196,1)}
       162:{2,5,6,7}:{(130,1),(132,1),(197,1)}
       163:{1,2,4,6,7}:{(131,1),(132,1),(133,1),(146,1),(181,1),(188,1),(189,1),(195,1),(199,1),(215,1),(218,1)}
       164:{3,5,7}:{(133,1),(134,1),(189,1),(190,1)}
       165:{3,4,6}:{(134,1),(148,1),(183,1),(190,1),(191,1)}
       166:{3,4,7}:{(135,1),(137,1),(193,1)}
       167:{3,5}:{(135,1),(138,1)}
       168:{1,2,4,6,7}:{(136,1),(137,1),(139,1),(141,1),(192,1),(194,1),(195,1),(199,1),(215,1)}
       169:{1,2,4,5,7}:{(137,1),(138,1),(140,1),(142,1),(151,1),(186,1),(193,1),(194,1),(195,1),(200,1),(216,1),(221,1)}
       170:{1,5,7}:{(139,1),(144,1),(196,1)}
       171:{1,4,6}:{(140,1),(145,1),(187,1),(196,1)}
       172:{2,5,7}:{(141,1),(144,1),(197,1)}
       173:{2,4,6}:{(142,1),(145,1),(152,1),(197,1)}
       174:{4,5,7}:{(143,1),(144,1),(198,1)}
       175:{3,5,6}:{(144,1),(145,1),(196,1),(197,1),(198,1)}
       176:{1,3,6,7}:{(146,1),(147,1),(189,1),(199,1),(201,1)}
       177:{1,4,7}:{(147,1),(148,1),(190,1)}
       178:{1,4,5}:{(148,1),(150,1),(191,1)}
       179:{1,3,5,7}:{(149,1),(150,1),(151,1),(193,1),(200,1),(201,1)}
       180:{1,2,6}:{(151,1),(152,1),(201,1)}
       181:{1,2,6,7}:{(153,1),(154,1),(202,1),(206,1)}
       182:{2,3,5,7}:{(154,1),(155,1),(156,1),(164,1),(202,1),(203,1),(224,1)}
       183:{2,4,6}:{(155,1),(165,1),(203,1),(204,1)}
       184:{2,3,4,7}:{(156,1),(157,1),(158,1),(166,1),(203,1),(205,1)}
       185:{2,3,5}:{(157,1),(159,1),(167,1),(204,1)}
       186:{1,2,5,7}:{(158,1),(159,1),(160,1),(205,1),(206,1)}
       187:{1,3,6}:{(160,1),(171,1),(206,1),(211,1)}
       188:{1,2,5,6,7}:{(161,1),(162,1),(163,1),(207,1),(212,1),(213,1),(224,1)}
       189:{3,6,7}:{(163,1),(164,1),(211,1)}
       190:{3,4,7}:{(164,1),(165,1),(177,1),(203,1)}
       191:{3,4,5}:{(165,1),(167,1),(178,1),(204,1)}
       192:{3,4,6,7}:{(166,1),(168,1),(210,1),(211,1),(228,1)}
       193:{3,5,7}:{(166,1),(167,1),(169,1),(211,1)}
       194:{1,2,5,7}:{(168,1),(170,1),(172,1),(210,1),(212,1),(213,1),(224,1)}
       195:{1,2,4,6}:{(169,1),(171,1),(173,1),(180,1),(206,1),(211,1),(212,1),(214,1),(225,1),(228,1)}
       196:{1,5,6}:{(170,1),(171,1),(175,1)}
       197:{2,5,6}:{(172,1),(173,1),(175,1)}
       198:{4,5,6}:{(174,1),(175,1),(228,1)}
       199:{1,4,6,7}:{(176,1),(177,1),(208,1),(213,1),(214,1)}
       200:{1,4,5,7}:{(177,1),(178,1),(179,1),(209,1),(213,1),(214,1)}
       201:{1,3,6}:{(179,1),(180,1),(211,1),(214,1)}
       202:{2,3,6,7}:{(181,1),(182,1),(189,1),(215,1),(217,1)}
       203:{2,4,7}:{(182,1),(183,1),(190,1)}
       204:{2,4,5}:{(183,1),(185,1),(191,1)}
       205:{2,3,5,7}:{(184,1),(185,1),(186,1),(193,1),(216,1),(217,1)}
       206:{1,2,6}:{(186,1),(187,1),(217,1)}
       207:{3,5,6,7}:{(188,1),(189,1),(218,1),(219,1),(222,1)}
       208:{3,4,6,7}:{(189,1),(190,1),(199,1),(215,1),(218,1),(219,1),(220,1)}
       209:{3,4,5,7}:{(190,1),(191,1),(193,1),(200,1),(216,1),(219,1),(220,1),(221,1)}
       210:{3,5,7}:{(192,1),(194,1),(221,1),(222,1)}
       211:{3,6}:{(193,1),(195,1)}
       212:{1,2,5,6}:{(194,1),(195,1),(196,1),(197,1),(222,1),(223,1),(229,1)}
       213:{1,5,7}:{(199,1),(219,1),(223,1)}
       214:{1,4,6}:{(200,1),(201,1),(220,1),(223,1)}
       215:{2,4,6,7}:{(202,1),(203,1),(208,1),(224,1),(225,1)}
       216:{2,4,5,7}:{(203,1),(204,1),(205,1),(209,1),(224,1),(225,1)}
       217:{2,3,6}:{(205,1),(206,1),(211,1),(225,1)}
       218:{4,6,7}:{(207,1),(226,1),(228,1)}
       219:{3,5,7}:{(208,1),(213,1),(224,1),(226,1),(227,1)}
       220:{3,4,6}:{(209,1),(211,1),(214,1),(225,1),(227,1),(228,1)}
       221:{4,5,7}:{(210,1),(228,1)}
       222:{3,5,6}:{(210,1),(211,1),(212,1),(228,1)}
       223:{1,5,6}:{(213,1),(214,1),(227,1)}
       224:{2,5,7}:{(215,1),(219,1),(229,1)}
       225:{2,4,6}:{(216,1),(217,1),(220,1),(229,1)}
       226:{4,5,7}:{(218,1),(219,1),(230,1)}
       227:{3,5,6}:{(219,1),(220,1),(223,1),(229,1),(230,1)}
       228:{4,6}:{(221,1),(222,1)}
       229:{2,5,6}:{(224,1),(225,1),(227,1)}
       230:{4,5,6}:{(226,1),(227,1),(228,1)}

1766 :   0:{4,5,6,7}:{(3,1),(61,1),(226,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(6,1),(31,1),(112,1),(176,1),(211,1)}
         2:{1,3,4,5}:{(7,1),(8,1),(68,1),(73,1),(125,1)}
         3:{3,5,6,7}:{(0,1),(10,1),(11,1),(12,1),(221,1)}
         4:{3,4,5,7}:{(1,1),(10,1),(13,1),(14,1),(45,1),(84,1)}
         5:{1,4,5,6}:{(1,1),(13,1),(15,1),(155,1),(200,1)}
         6:{2,4,5,6}:{(1,1),(14,1),(16,1),(187,1),(216,1)}
         7:{1,3,4,6}:{(2,1),(15,1),(18,1),(19,1),(48,1)}
         8:{1,2,4,5}:{(2,1),(19,1),(20,1),(52,1),(90,1),(96,1)}
         9:{2,3,4,5}:{(21,1),(22,1),(68,1),(105,1),(162,1)}
        10:{3,4,6,7}:{(3,1),(4,1),(23,1),(24,1),(60,1),(61,1),(211,1)}
        11:{1,5,6,7}:{(3,1),(23,1),(214,1)}
        12:{2,5,6,7}:{(3,1),(24,1),(224,1)}
        13:{1,4,5,7}:{(4,1),(5,1),(23,1),(26,1)}
        14:{2,4,5,7}:{(4,1),(6,1),(24,1),(27,1)}
        15:{1,3,5,6}:{(5,1),(7,1),(26,1),(29,1),(31,1),(125,1),(180,1)}
        16:{2,3,5,6}:{(6,1),(21,1),(27,1),(30,1),(31,1),(162,1),(204,1)}
        17:{1,2,4,5,6}:{(5,1),(6,1),(28,1),(29,1),(30,1),(31,1),(66,1),(67,1),(112,1),(118,1),(169,1),(170,1),(173,1)}
        18:{1,3,4,7}:{(7,1),(26,1),(32,1),(64,1)}
        19:{1,2,4,6}:{(7,1),(8,1),(29,1),(32,1),(33,1),(66,1)}
        20:{2,3,5}:{(8,1),(33,1),(35,1)}
        21:{2,3,4,6}:{(9,1),(16,1),(36,1),(37,1),(48,1)}
        22:{1,2,4,5}:{(9,1),(37,1),(38,1),(79,1),(91,1),(133,1)}
        23:{1,4,6,7}:{(10,1),(11,1),(13,1),(39,1),(200,1)}
        24:{2,4,6,7}:{(10,1),(12,1),(14,1),(40,1),(216,1)}
        25:{1,2,5,6,7}:{(11,1),(12,1),(41,1),(42,1),(139,1),(140,1),(192,1)}
        26:{1,3,5,7}:{(13,1),(15,1),(18,1),(39,1),(43,1),(45,1)}
        27:{2,3,5,7}:{(14,1),(16,1),(36,1),(40,1),(44,1),(45,1)}
        28:{1,2,4,5,7}:{(13,1),(14,1),(17,1),(41,1),(43,1),(44,1),(45,1),(84,1),(86,1),(87,1),(139,1),(140,1)}
        29:{1,2,5,6}:{(15,1),(19,1),(43,1),(46,1),(96,1),(153,1)}
        30:{1,2,5,6}:{(16,1),(37,1),(44,1),(47,1),(133,1),(185,1)}
        31:{3,5,6}:{(17,1),(45,1),(48,1),(148,1),(196,1)}
        32:{1,2,4,7}:{(18,1),(19,1),(43,1),(49,1),(86,1)}
        33:{2,3,6}:{(19,1),(20,1),(49,1)}
        34:{1,2,3,5}:{(20,1),(50,1),(52,1),(96,1),(98,1)}
        35:{2,3,4}:{(20,1),(52,1)}
        36:{2,3,4,7}:{(21,1),(27,1),(54,1),(64,1)}
        37:{1,2,4,6}:{(21,1),(22,1),(30,1),(54,1),(55,1),(67,1)}
        38:{1,3,5}:{(22,1),(55,1),(57,1)}
        39:{1,3,6,7}:{(23,1),(26,1),(58,1),(60,1),(180,1)}
        40:{2,3,6,7}:{(24,1),(27,1),(59,1),(60,1),(204,1)}
        41:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(28,1),(58,1),(59,1),(60,1),(61,1),(109,1),(110,1),(173,1)}
        42:{3,5,6,7}:{(25,1),(60,1),(61,1),(111,1),(209,1)}
        43:{1,2,5,7}:{(26,1),(29,1),(32,1),(58,1),(62,1)}
        44:{1,2,5,7}:{(27,1),(30,1),(54,1),(59,1),(63,1)}
        45:{3,5,7}:{(28,1),(31,1),(60,1),(64,1)}
        46:{2,3,5,6}:{(29,1),(31,1),(33,1),(62,1),(66,1),(72,1),(124,1),(169,1)}
        47:{1,3,5,6}:{(30,1),(31,1),(55,1),(63,1),(67,1),(104,1),(161,1),(170,1)}
        48:{3,4,6}:{(31,1),(64,1),(66,1),(67,1),(68,1)}
        49:{2,3,7}:{(32,1),(33,1)}
        50:{1,2,3,6}:{(33,1),(34,1),(69,1),(71,1),(128,1)}
        51:{2,3,4,6}:{(33,1),(35,1),(66,1),(70,1),(71,1),(72,1),(117,1),(124,1)}
        52:{1,2,4}:{(34,1),(35,1),(73,1)}
        53:{2,3,4,5}:{(35,1),(72,1),(74,1),(75,1),(176,1)}
        54:{1,2,4,7}:{(36,1),(37,1),(44,1),(76,1),(87,1)}
        55:{1,3,6}:{(37,1),(38,1),(76,1)}
        56:{1,2,3,5}:{(38,1),(77,1),(79,1),(133,1),(135,1)}
        57:{1,3,4}:{(38,1),(79,1)}
        58:{1,2,6,7}:{(39,1),(43,1),(81,1),(153,1)}
        59:{1,2,6,7}:{(40,1),(44,1),(82,1),(185,1)}
        60:{3,6,7}:{(41,1),(45,1),(196,1)}
        61:{4,6,7}:{(42,1),(84,1),(219,1)}
        62:{2,3,5,7}:{(43,1),(45,1),(46,1),(49,1),(81,1),(86,1),(139,1)}
        63:{1,3,5,7}:{(44,1),(45,1),(47,1),(76,1),(82,1),(87,1),(140,1)}
        64:{3,4,7}:{(45,1),(48,1),(86,1),(87,1)}
        65:{1,2,3,5,6}:{(46,1),(47,1),(50,1),(77,1),(85,1),(89,1),(96,1),(133,1),(148,1),(153,1),(156,1),(185,1),(188,1),(192,1),(196,1)}
        66:{2,4,6}:{(46,1),(48,1),(86,1),(90,1)}
        67:{1,4,6}:{(47,1),(48,1),(87,1),(91,1)}
        68:{3,4,5}:{(48,1),(90,1),(91,1),(148,1)}
        69:{1,2,3,7}:{(49,1),(50,1),(93,1),(158,1)}
        70:{2,3,4,7}:{(49,1),(51,1),(86,1),(93,1),(94,1),(143,1)}
        71:{1,2,4,6}:{(50,1),(51,1),(52,1),(93,1),(95,1),(96,1),(153,1)}
        72:{2,3,5}:{(51,1),(90,1),(96,1),(148,1)}
        73:{1,3,4}:{(52,1),(98,1)}
        74:{1,2,4,5}:{(52,1),(53,1),(96,1),(98,1),(99,1),(155,1)}
        75:{2,3,4,6}:{(53,1),(97,1),(99,1),(100,1),(198,1)}
        76:{1,3,7}:{(54,1),(55,1)}
        77:{1,2,3,6}:{(55,1),(56,1),(101,1),(103,1),(165,1)}
        78:{1,3,4,6}:{(55,1),(57,1),(67,1),(102,1),(103,1),(104,1),(117,1),(161,1)}
        79:{1,2,4}:{(56,1),(57,1),(105,1)}
        80:{1,3,4,5}:{(57,1),(104,1),(106,1),(107,1),(176,1)}
        81:{2,3,6,7}:{(58,1),(60,1),(62,1),(109,1),(124,1)}
        82:{1,3,6,7}:{(59,1),(60,1),(63,1),(110,1),(161,1)}
        83:{3,4,6,7}:{(60,1),(61,1),(64,1),(109,1),(110,1),(111,1),(116,1)}
        84:{4,5,7}:{(61,1),(111,1),(112,1)}
        85:{1,2,3,5,7}:{(62,1),(63,1),(65,1),(69,1),(101,1),(108,1),(113,1),(123,1),(160,1),(168,1),(172,1),(183,1),(207,1)}
        86:{2,4,7}:{(62,1),(64,1),(66,1)}
        87:{1,4,7}:{(63,1),(64,1),(67,1)}
        88:{3,4,5,7}:{(64,1),(68,1),(111,1),(114,1),(115,1),(116,1),(172,1),(208,1)}
        89:{1,2,4,6}:{(65,1),(66,1),(67,1),(113,1),(117,1),(118,1),(182,1),(206,1)}
        90:{2,4,5}:{(66,1),(68,1),(72,1)}
        91:{1,4,5}:{(67,1),(68,1),(104,1)}
        92:{3,4,5,6}:{(68,1),(116,1),(119,1),(120,1),(121,1),(177,1),(226,1)}
        93:{1,2,4,7}:{(69,1),(70,1),(71,1),(122,1),(123,1)}
        94:{2,3,5,7}:{(70,1),(72,1),(114,1),(123,1),(124,1),(172,1)}
        95:{1,3,4,6}:{(71,1),(73,1),(117,1),(122,1),(125,1),(128,1),(180,1),(182,1)}
        96:{1,2,5}:{(71,1),(72,1),(125,1)}
        97:{2,3,5,6}:{(72,1),(75,1),(119,1),(124,1),(126,1),(127,1),(177,1)}
        98:{1,3,5}:{(73,1),(74,1),(128,1)}
        99:{1,2,4,6}:{(74,1),(75,1),(126,1),(128,1),(129,1),(182,1)}
       100:{2,3,4,7}:{(75,1),(127,1),(129,1),(213,1)}
       101:{1,2,3,7}:{(76,1),(77,1),(130,1),(190,1)}
       102:{1,3,4,7}:{(76,1),(78,1),(87,1),(130,1),(131,1),(143,1)}
       103:{1,2,4,6}:{(77,1),(78,1),(79,1),(130,1),(132,1),(133,1),(185,1)}
       104:{1,3,5}:{(78,1),(91,1),(133,1),(148,1)}
       105:{2,3,4}:{(79,1),(135,1)}
       106:{1,2,4,5}:{(79,1),(80,1),(133,1),(135,1),(136,1),(187,1)}
       107:{1,3,4,6}:{(80,1),(134,1),(136,1),(137,1),(198,1)}
       108:{1,2,3,6,7}:{(81,1),(82,1),(85,1),(138,1),(153,1),(185,1),(196,1),(201,1),(217,1)}
       109:{2,4,6,7}:{(81,1),(83,1),(86,1),(139,1),(145,1)}
       110:{1,4,6,7}:{(82,1),(83,1),(87,1),(140,1),(146,1)}
       111:{3,5,7}:{(83,1),(84,1),(139,1),(140,1),(141,1)}
       112:{4,5,6}:{(84,1),(141,1),(219,1)}
       113:{1,2,4,7}:{(85,1),(86,1),(87,1),(89,1),(143,1),(202,1),(218,1)}
       114:{2,4,5,7}:{(86,1),(88,1),(90,1),(94,1),(139,1),(145,1)}
       115:{1,4,5,7}:{(87,1),(88,1),(91,1),(131,1),(140,1),(146,1)}
       116:{3,4,6}:{(88,1),(141,1),(145,1),(146,1),(196,1),(219,1)}
       117:{3,4,6}:{(89,1),(143,1),(148,1),(196,1)}
       118:{1,2,4,5}:{(89,1),(90,1),(91,1),(96,1),(133,1),(148,1),(155,1),(187,1)}
       119:{2,4,5,6}:{(90,1),(92,1),(97,1),(145,1),(150,1)}
       120:{1,4,5,6}:{(91,1),(92,1),(134,1),(146,1),(151,1)}
       121:{3,4,5,7}:{(92,1),(147,1),(150,1),(151,1),(199,1),(230,1)}
       122:{1,3,4,7}:{(93,1),(95,1),(143,1),(152,1),(158,1),(202,1)}
       123:{1,2,5,7}:{(93,1),(94,1),(96,1),(152,1),(153,1)}
       124:{2,3,6}:{(94,1),(145,1),(153,1),(196,1)}
       125:{1,3,5}:{(95,1),(96,1),(148,1),(155,1)}
       126:{1,2,5,6}:{(96,1),(97,1),(99,1),(153,1),(156,1),(157,1)}
       127:{2,3,5,7}:{(97,1),(100,1),(150,1),(154,1),(157,1),(199,1)}
       128:{1,3,6}:{(98,1),(99,1),(158,1)}
       129:{1,2,4,7}:{(99,1),(100,1),(157,1),(158,1),(202,1)}
       130:{1,2,4,7}:{(101,1),(102,1),(103,1),(159,1),(160,1)}
       131:{1,3,5,7}:{(102,1),(104,1),(115,1),(160,1),(161,1),(172,1)}
       132:{2,3,4,6}:{(103,1),(105,1),(117,1),(159,1),(162,1),(165,1),(204,1),(206,1)}
       133:{1,2,5}:{(103,1),(104,1),(162,1)}
       134:{1,3,5,6}:{(104,1),(107,1),(120,1),(161,1),(163,1),(164,1),(177,1)}
       135:{2,3,5}:{(105,1),(106,1),(165,1)}
       136:{1,2,4,6}:{(106,1),(107,1),(163,1),(165,1),(166,1),(206,1)}
       137:{1,3,4,7}:{(107,1),(164,1),(166,1),(213,1)}
       138:{1,2,4,6,7}:{(108,1),(109,1),(110,1),(113,1),(167,1),(168,1),(173,1),(215,1),(225,1)}
       139:{2,5,7}:{(109,1),(111,1),(169,1)}
       140:{1,5,7}:{(110,1),(111,1),(170,1)}
       141:{3,5,6}:{(111,1),(112,1),(116,1),(169,1),(170,1)}
       142:{4,5,6,7}:{(112,1),(171,1),(227,1)}
       143:{3,4,7}:{(113,1),(117,1),(172,1)}
       144:{1,2,4,5,7}:{(113,1),(114,1),(115,1),(118,1),(123,1),(160,1),(168,1),(172,1),(173,1),(179,1),(203,1),(208,1)}
       145:{2,4,6}:{(114,1),(116,1),(124,1),(169,1)}
       146:{1,4,6}:{(115,1),(116,1),(161,1),(170,1)}
       147:{3,4,6,7}:{(116,1),(121,1),(171,1),(174,1),(175,1),(212,1),(227,1)}
       148:{3,5}:{(117,1),(118,1)}
       149:{1,2,4,5,6}:{(118,1),(119,1),(120,1),(126,1),(163,1),(173,1),(177,1),(178,1),(182,1),(206,1),(214,1),(224,1),(226,1)}
       150:{2,4,5,7}:{(119,1),(121,1),(127,1),(174,1)}
       151:{1,4,5,7}:{(120,1),(121,1),(164,1),(175,1)}
       152:{1,3,5,7}:{(122,1),(123,1),(125,1),(172,1),(179,1),(180,1)}
       153:{1,2,6}:{(123,1),(124,1),(180,1)}
       154:{2,3,6,7}:{(124,1),(127,1),(174,1),(181,1),(212,1)}
       155:{1,4,5}:{(125,1),(176,1),(182,1)}
       156:{1,3,5,6}:{(125,1),(126,1),(128,1),(177,1),(180,1),(182,1),(183,1),(214,1)}
       157:{1,2,5,7}:{(126,1),(127,1),(129,1),(181,1),(183,1)}
       158:{1,3,7}:{(128,1),(129,1)}
       159:{2,3,4,7}:{(130,1),(132,1),(143,1),(184,1),(190,1),(218,1)}
       160:{1,2,5,7}:{(130,1),(131,1),(133,1),(184,1),(185,1)}
       161:{1,3,6}:{(131,1),(146,1),(185,1),(196,1)}
       162:{2,3,5}:{(132,1),(133,1),(148,1),(187,1)}
       163:{1,2,5,6}:{(133,1),(134,1),(136,1),(185,1),(188,1),(189,1)}
       164:{1,3,5,7}:{(134,1),(137,1),(151,1),(186,1),(189,1),(199,1)}
       165:{2,3,6}:{(135,1),(136,1),(190,1)}
       166:{1,2,4,7}:{(136,1),(137,1),(189,1),(190,1),(218,1)}
       167:{3,4,6,7}:{(138,1),(143,1),(191,1),(196,1),(219,1)}
       168:{1,2,5,7}:{(138,1),(139,1),(140,1),(191,1),(192,1),(223,1),(229,1)}
       169:{2,5,6}:{(139,1),(141,1),(145,1)}
       170:{1,5,6}:{(140,1),(141,1),(146,1)}
       171:{3,5,6,7}:{(141,1),(142,1),(147,1),(193,1),(194,1)}
       172:{3,5,7}:{(143,1),(144,1),(148,1),(196,1)}
       173:{1,2,4,6}:{(144,1),(145,1),(146,1),(153,1),(185,1),(192,1),(196,1),(200,1),(216,1),(219,1)}
       174:{2,4,6,7}:{(145,1),(147,1),(150,1),(154,1),(193,1)}
       175:{1,4,6,7}:{(146,1),(147,1),(151,1),(186,1),(194,1)}
       176:{3,4,5}:{(148,1),(155,1),(187,1),(198,1)}
       177:{3,5,6}:{(148,1),(149,1),(196,1),(198,1),(199,1)}
       178:{1,2,4,5,7}:{(149,1),(150,1),(151,1),(157,1),(189,1),(197,1),(199,1),(202,1),(218,1),(223,1),(229,1),(230,1)}
       179:{1,4,5,7}:{(152,1),(155,1),(195,1),(200,1),(202,1),(223,1)}
       180:{1,3,6}:{(152,1),(153,1),(196,1),(200,1)}
       181:{1,2,6,7}:{(153,1),(154,1),(157,1),(201,1)}
       182:{1,4,6}:{(155,1),(156,1),(198,1),(202,1)}
       183:{1,3,5,7}:{(156,1),(157,1),(158,1),(199,1),(201,1),(202,1),(223,1)}
       184:{2,3,5,7}:{(159,1),(160,1),(162,1),(172,1),(203,1),(204,1)}
       185:{1,2,6}:{(160,1),(161,1),(204,1)}
       186:{1,3,6,7}:{(161,1),(164,1),(175,1),(205,1),(212,1)}
       187:{2,4,5}:{(162,1),(176,1),(206,1)}
       188:{2,3,5,6}:{(162,1),(163,1),(165,1),(177,1),(204,1),(206,1),(207,1),(224,1)}
       189:{1,2,5,7}:{(163,1),(164,1),(166,1),(205,1),(207,1)}
       190:{2,3,7}:{(165,1),(166,1)}
       191:{3,5,7}:{(167,1),(168,1),(208,1),(209,1)}
       192:{1,2,5,6}:{(168,1),(169,1),(170,1),(173,1),(209,1),(214,1),(224,1)}
       193:{2,5,6,7}:{(169,1),(171,1),(174,1)}
       194:{1,5,6,7}:{(170,1),(171,1),(175,1)}
       195:{3,4,5,7}:{(172,1),(176,1),(179,1),(203,1),(208,1),(211,1),(213,1),(228,1)}
       196:{3,6}:{(172,1),(173,1)}
       197:{1,2,4,6,7}:{(173,1),(174,1),(175,1),(178,1),(181,1),(205,1),(210,1),(212,1),(215,1),(225,1),(227,1)}
       198:{3,4,6}:{(176,1),(177,1),(182,1),(206,1),(213,1)}
       199:{3,5,7}:{(177,1),(178,1),(212,1),(213,1)}
       200:{1,4,6}:{(179,1),(180,1),(211,1),(214,1)}
       201:{1,3,6,7}:{(180,1),(181,1),(183,1),(212,1),(215,1)}
       202:{1,4,7}:{(182,1),(183,1),(213,1)}
       203:{2,4,5,7}:{(184,1),(187,1),(195,1),(216,1),(218,1),(229,1)}
       204:{2,3,6}:{(184,1),(185,1),(196,1),(216,1)}
       205:{1,2,6,7}:{(185,1),(186,1),(189,1),(217,1)}
       206:{2,4,6}:{(187,1),(188,1),(198,1),(218,1)}
       207:{2,3,5,7}:{(188,1),(189,1),(190,1),(199,1),(217,1),(218,1),(229,1)}
       208:{4,5,7}:{(191,1),(219,1)}
       209:{3,5,6}:{(191,1),(192,1),(196,1),(219,1)}
       210:{1,2,5,6,7}:{(192,1),(193,1),(194,1),(197,1),(220,1),(223,1),(229,1)}
       211:{3,4,6}:{(195,1),(196,1),(200,1),(216,1),(219,1),(221,1)}
       212:{3,6,7}:{(196,1),(197,1),(199,1)}
       213:{3,4,7}:{(198,1),(199,1),(202,1),(218,1)}
       214:{1,5,6}:{(200,1),(221,1),(223,1)}
       215:{1,4,6,7}:{(200,1),(201,1),(202,1),(222,1),(223,1)}
       216:{2,4,6}:{(203,1),(204,1),(211,1),(224,1)}
       217:{2,3,6,7}:{(204,1),(205,1),(207,1),(212,1),(225,1)}
       218:{2,4,7}:{(206,1),(207,1),(213,1)}
       219:{4,6}:{(208,1),(209,1)}
       220:{3,5,6,7}:{(209,1),(210,1),(212,1),(227,1),(228,1)}
       221:{3,5,6}:{(211,1),(214,1),(224,1),(226,1),(228,1)}
       222:{3,4,6,7}:{(211,1),(212,1),(213,1),(215,1),(225,1),(227,1),(228,1)}
       223:{1,5,7}:{(214,1),(215,1),(228,1)}
       224:{2,5,6}:{(216,1),(221,1),(229,1)}
       225:{2,4,6,7}:{(216,1),(217,1),(218,1),(222,1),(229,1)}
       226:{4,5,6}:{(219,1),(221,1),(230,1)}
       227:{4,6,7}:{(219,1),(220,1),(230,1)}
       228:{3,5,7}:{(221,1),(222,1),(223,1),(229,1),(230,1)}
       229:{2,5,7}:{(224,1),(225,1),(228,1)}
       230:{4,5,7}:{(226,1),(227,1),(228,1)}

1767 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(78,1),(79,1),(80,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(13,1),(14,1),(17,1),(41,1),(47,1),(48,1),(49,1),(78,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(21,1),(24,1),(58,1),(68,1),(69,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(93,1),(94,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(64,1),(65,1)}
         5:{3,4,6,7}:{(3,1),(10,1),(11,1),(36,1),(41,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(11,1),(83,1),(84,1)}
         7:{1,2,5,7}:{(3,1),(10,1),(13,1),(100,1),(101,1)}
         8:{3,4,6}:{(4,1),(11,1),(17,1),(41,1)}
         9:{1,2,4,5}:{(4,1),(17,1),(44,1),(45,1),(47,1)}
        10:{3,5,7}:{(5,1),(7,1),(19,1),(20,1)}
        11:{3,4,7}:{(6,1),(8,1),(24,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(19,1),(24,1),(25,1),(54,1),(55,1),(58,1)}
        13:{1,2,5,6}:{(7,1),(20,1),(25,1),(88,1),(89,1)}
        14:{1,2,3,6}:{(21,1),(27,1),(29,1),(96,1)}
        15:{2,3,4,6}:{(8,1),(22,1),(29,1),(30,1),(59,1),(62,1),(64,1),(86,1),(96,1)}
        16:{1,3,4,6}:{(8,1),(23,1),(29,1),(31,1),(60,1),(62,1),(65,1),(86,1),(96,1)}
        17:{3,5}:{(8,1),(9,1)}
        18:{1,2,4,5,6}:{(9,1),(25,1),(32,1),(33,1),(52,1),(64,1),(65,1),(67,1),(88,1),(89,1)}
        19:{4,5,7}:{(10,1),(36,1)}
        20:{3,5,6}:{(10,1),(13,1),(36,1),(41,1)}
        21:{1,2,3,7}:{(14,1),(38,1),(104,1)}
        22:{2,3,4,7}:{(11,1),(15,1),(38,1),(39,1),(73,1),(83,1),(104,1)}
        23:{1,3,4,7}:{(11,1),(16,1),(38,1),(40,1),(73,1),(84,1),(104,1)}
        24:{3,5,7}:{(11,1),(12,1),(17,1),(41,1)}
        25:{1,2,4,6}:{(12,1),(13,1),(36,1),(41,1),(75,1),(76,1),(78,1)}
        26:{1,2,5,6,7}:{(13,1),(37,1),(42,1),(100,1),(101,1)}
        27:{1,2,3,5}:{(14,1),(43,1),(47,1),(81,1)}
        28:{3,4,5}:{(17,1),(44,1),(45,1),(46,1),(81,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(16,1),(38,1),(43,1),(47,1),(78,1)}
        30:{2,3,5}:{(15,1),(17,1),(44,1),(47,1),(81,1),(98,1)}
        31:{1,3,5}:{(16,1),(17,1),(45,1),(47,1),(81,1),(98,1)}
        32:{3,5,6}:{(17,1),(18,1),(41,1),(46,1),(50,1)}
        33:{1,2,4,5,7}:{(18,1),(42,1),(50,1),(72,1),(83,1),(84,1),(85,1),(100,1),(101,1)}
        34:{1,2,3,5,7}:{(21,1),(27,1),(51,1),(53,1),(58,1),(87,1),(91,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(28,1),(54,1),(55,1),(56,1),(66,1),(90,1),(91,1),(105,1),(111,1)}
        36:{4,6}:{(19,1),(20,1)}
        37:{3,5,6,7}:{(20,1),(26,1),(57,1),(61,1),(90,1)}
        38:{1,2,4,7}:{(21,1),(22,1),(23,1),(29,1),(58,1)}
        39:{2,3,5,7}:{(22,1),(24,1),(30,1),(54,1),(58,1),(59,1),(91,1)}
        40:{1,3,5,7}:{(23,1),(24,1),(31,1),(55,1),(58,1),(60,1),(91,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,2,4,6,7}:{(25,1),(26,1),(33,1),(57,1),(61,1),(93,1),(94,1),(95,1)}
        43:{1,2,4}:{(27,1),(62,1)}
        44:{2,4,5}:{(28,1),(30,1),(64,1),(105,1)}
        45:{1,4,5}:{(28,1),(31,1),(65,1),(105,1)}
        46:{3,4,6}:{(28,1),(32,1),(64,1),(65,1),(66,1),(96,1)}
        47:{1,2,5}:{(29,1),(30,1),(31,1)}
        48:{2,3,5,6}:{(30,1),(32,1),(59,1),(64,1),(67,1),(68,1),(88,1),(96,1),(106,1)}
        49:{1,3,5,6}:{(31,1),(32,1),(60,1),(65,1),(67,1),(69,1),(89,1),(96,1),(106,1)}
        50:{3,5,7}:{(32,1),(33,1),(61,1),(66,1)}
        51:{1,2,3,6}:{(34,1),(70,1),(78,1),(102,1)}
        52:{4,5,6}:{(36,1),(71,1),(72,1),(109,1)}
        53:{1,2,4,7}:{(34,1),(43,1),(70,1),(73,1)}
        54:{2,4,5,7}:{(35,1),(39,1),(44,1),(75,1),(83,1),(100,1)}
        55:{1,4,5,7}:{(35,1),(40,1),(45,1),(76,1),(84,1),(101,1)}
        56:{3,4,6}:{(35,1),(36,1),(41,1),(71,1),(75,1),(76,1),(102,1),(109,1)}
        57:{4,6,7}:{(36,1),(37,1),(72,1)}
        58:{1,2,5,7}:{(38,1),(39,1),(40,1),(47,1),(78,1)}
        59:{2,3,6}:{(39,1),(41,1),(75,1),(78,1),(102,1)}
        60:{1,3,6}:{(40,1),(41,1),(76,1),(78,1),(102,1)}
        61:{3,6,7}:{(41,1),(42,1),(50,1)}
        62:{3,4}:{(43,1),(81,1)}
        63:{1,2,4,5}:{(43,1),(44,1),(45,1),(47,1),(81,1),(82,1)}
        64:{2,4,6}:{(44,1),(46,1),(48,1),(83,1),(109,1)}
        65:{1,4,6}:{(45,1),(46,1),(49,1),(84,1),(109,1)}
        66:{3,4,7}:{(46,1),(50,1),(83,1),(84,1),(104,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(49,1),(78,1),(82,1),(85,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(79,1),(83,1),(85,1),(100,1),(104,1),(110,1)}
        69:{1,3,5,7}:{(49,1),(50,1),(80,1),(84,1),(85,1),(101,1),(104,1),(110,1)}
        70:{1,2,4,6}:{(51,1),(53,1),(86,1),(87,1)}
        71:{3,5,6}:{(52,1),(56,1),(88,1),(89,1),(90,1)}
        72:{4,5,7}:{(52,1),(57,1),(90,1),(111,1)}
        73:{3,4,7}:{(53,1),(62,1),(86,1),(91,1),(111,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(58,1),(63,1),(87,1),(91,1),(92,1),(97,1),(105,1),(107,1),(111,1)}
        75:{2,4,6}:{(54,1),(56,1),(59,1),(88,1)}
        76:{1,4,6}:{(55,1),(56,1),(60,1),(89,1)}
        77:{3,4,6,7}:{(56,1),(57,1),(61,1),(66,1),(90,1),(93,1),(94,1),(108,1),(111,1)}
        78:{1,2,6}:{(58,1),(59,1),(60,1)}
        79:{2,3,6,7}:{(59,1),(61,1),(68,1),(93,1),(95,1),(108,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(69,1),(94,1),(95,1),(108,1)}
        81:{3,5}:{(62,1),(63,1),(96,1)}
        82:{1,2,4,6}:{(63,1),(64,1),(65,1),(67,1),(96,1),(97,1)}
        83:{2,4,7}:{(64,1),(66,1),(68,1),(111,1)}
        84:{1,4,7}:{(65,1),(66,1),(69,1),(111,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(95,1),(97,1)}
        86:{3,4,6}:{(70,1),(73,1),(98,1),(102,1),(109,1)}
        87:{1,2,5}:{(70,1),(98,1)}
        88:{2,5,6}:{(71,1),(75,1),(100,1)}
        89:{1,5,6}:{(71,1),(76,1),(101,1)}
        90:{3,5,7}:{(71,1),(72,1),(77,1),(100,1),(101,1)}
        91:{3,5,7}:{(73,1),(74,1),(81,1),(98,1),(102,1),(104,1)}
        92:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(99,1),(102,1),(109,1)}
        93:{2,4,6,7}:{(75,1),(77,1),(79,1),(83,1),(100,1)}
        94:{1,4,6,7}:{(76,1),(77,1),(80,1),(84,1),(101,1)}
        95:{1,2,6,7}:{(78,1),(79,1),(80,1),(85,1)}
        96:{3,6}:{(81,1),(82,1),(104,1)}
        97:{1,2,4,7}:{(82,1),(83,1),(84,1),(85,1),(104,1)}
        98:{3,5}:{(86,1),(87,1),(105,1)}
        99:{1,2,5,6}:{(87,1),(88,1),(89,1),(92,1),(106,1),(107,1)}
       100:{2,5,7}:{(88,1),(90,1),(93,1)}
       101:{1,5,7}:{(89,1),(90,1),(94,1)}
       102:{3,6}:{(91,1),(92,1)}
       103:{1,2,4,6,7}:{(92,1),(93,1),(94,1),(95,1),(97,1),(107,1),(108,1),(111,1)}
       104:{3,7}:{(96,1),(97,1)}
       105:{4,5}:{(98,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(102,1),(109,1),(110,1)}
       107:{1,2,5,7}:{(99,1),(100,1),(101,1),(103,1),(110,1)}
       108:{3,6,7}:{(102,1),(103,1),(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1768 :   0:{1,3,4,5,7}:{(1,1),(2,1),(15,1),(54,1),(114,1),(127,1),(131,1),(167,1),(174,1),(179,1)}
         1:{1,3,4,6}:{(0,1),(7,1),(8,1),(99,1),(188,1),(193,1),(195,1)}
         2:{1,2,4,5,7}:{(0,1),(8,1),(9,1),(32,1),(37,1),(91,1),(96,1),(100,1)}
         3:{1,4,5,6,7}:{(10,1),(43,1),(199,1)}
         4:{2,3,4,5,7}:{(11,1),(12,1),(21,1),(48,1),(69,1),(128,1),(166,1),(170,1),(174,1),(200,1)}
         5:{1,3,4,6,7}:{(1,1),(15,1),(16,1),(43,1),(102,1),(127,1),(159,1)}
         6:{3,4,5,6}:{(14,1),(17,1),(18,1),(67,1),(170,1),(201,1)}
         7:{1,3,5,6}:{(1,1),(15,1),(17,1),(19,1),(67,1),(114,1),(196,1)}
         8:{1,2,4,6}:{(1,1),(2,1),(19,1),(20,1),(68,1)}
         9:{2,3,5,7}:{(2,1),(20,1),(21,1),(69,1),(174,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(24,1),(206,1)}
        11:{2,3,4,6}:{(4,1),(28,1),(29,1),(143,1),(157,1),(193,1),(207,1)}
        12:{1,2,4,5,7}:{(4,1),(29,1),(30,1),(32,1),(78,1),(91,1),(140,1),(144,1)}
        13:{1,2,3,5,7}:{(9,1),(30,1),(31,1),(32,1),(91,1)}
        14:{3,4,5,7}:{(6,1),(22,1),(35,1),(36,1),(95,1)}
        15:{1,3,5,7}:{(5,1),(7,1),(35,1),(37,1),(95,1),(181,1)}
        16:{1,2,4,6,7}:{(5,1),(8,1),(37,1),(38,1),(96,1)}
        17:{1,4,5,6}:{(6,1),(7,1),(35,1),(144,1),(188,1)}
        18:{2,4,5,6}:{(6,1),(36,1),(39,1),(189,1),(207,1)}
        19:{1,2,5,6}:{(7,1),(8,1),(37,1),(41,1),(91,1)}
        20:{2,3,6}:{(8,1),(9,1),(193,1)}
        21:{2,3,4,7}:{(9,1),(32,1),(42,1),(96,1),(147,1)}
        22:{3,4,6,7}:{(10,1),(14,1),(43,1),(44,1),(102,1),(201,1)}
        23:{1,3,5,6,7}:{(10,1),(15,1),(43,1),(45,1),(102,1),(168,1)}
        24:{2,5,6,7}:{(10,1),(44,1),(209,1)}
        25:{2,4,5,6,7}:{(46,1),(105,1),(161,1)}
        26:{2,3,4,6,7}:{(11,1),(48,1),(49,1),(105,1),(163,1),(166,1),(197,1)}
        27:{3,4,5,6}:{(47,1),(50,1),(51,1),(112,1),(131,1),(180,1)}
        28:{2,3,5,6}:{(11,1),(48,1),(51,1),(52,1),(69,1),(112,1),(209,1)}
        29:{1,2,4,6}:{(11,1),(12,1),(52,1),(53,1),(113,1)}
        30:{1,3,5,7}:{(12,1),(53,1),(54,1),(114,1),(174,1)}
        31:{1,2,3,6}:{(13,1),(20,1),(53,1),(59,1)}
        32:{1,2,4,7}:{(13,1),(21,1),(54,1),(59,1)}
        33:{1,3,4,5}:{(56,1),(60,1),(125,1),(170,1),(178,1)}
        34:{2,3,4,5}:{(57,1),(61,1),(124,1),(131,1),(177,1)}
        35:{1,4,5,7}:{(14,1),(15,1),(17,1),(43,1)}
        36:{2,4,5,7}:{(14,1),(18,1),(44,1),(62,1)}
        37:{1,2,5,7}:{(15,1),(16,1),(19,1),(64,1)}
        38:{2,3,6,7}:{(16,1),(20,1),(64,1),(102,1)}
        39:{2,3,5,6}:{(18,1),(57,1),(62,1),(66,1),(67,1),(177,1),(203,1)}
        40:{1,2,4,5,6}:{(17,1),(18,1),(19,1),(63,1),(66,1),(67,1),(68,1),(122,1),(130,1),(161,1),(175,1),(196,1)}
        41:{2,3,5,6}:{(19,1),(20,1),(64,1),(67,1),(68,1),(69,1)}
        42:{2,3,4,6}:{(20,1),(21,1),(59,1),(68,1),(69,1),(121,1)}
        43:{1,4,6,7}:{(22,1),(23,1),(35,1),(188,1)}
        44:{2,4,6,7}:{(22,1),(24,1),(36,1),(70,1),(207,1)}
        45:{1,2,5,6,7}:{(23,1),(24,1),(37,1),(71,1),(72,1),(149,1),(181,1)}
        46:{3,5,6,7}:{(25,1),(73,1),(74,1),(182,1)}
        47:{3,4,5,7}:{(27,1),(73,1),(76,1),(77,1),(139,1)}
        48:{2,3,5,7}:{(26,1),(28,1),(77,1),(78,1),(139,1),(205,1)}
        49:{1,2,4,6,7}:{(26,1),(29,1),(78,1),(79,1),(140,1)}
        50:{1,4,5,6}:{(27,1),(76,1),(80,1),(158,1),(195,1)}
        51:{2,4,5,6}:{(27,1),(28,1),(77,1),(100,1),(157,1)}
        52:{1,2,5,6}:{(28,1),(29,1),(78,1),(82,1),(91,1)}
        53:{1,3,6}:{(29,1),(30,1),(193,1)}
        54:{1,3,4,7}:{(30,1),(32,1),(83,1),(140,1),(147,1)}
        55:{1,2,3,6,7}:{(31,1),(38,1),(79,1),(86,1),(87,1),(132,1),(183,1),(193,1),(208,1)}
        56:{1,3,4,6}:{(33,1),(80,1),(84,1),(88,1),(143,1)}
        57:{2,3,4,6}:{(34,1),(39,1),(85,1),(89,1),(99,1)}
        58:{1,2,3,5,6}:{(31,1),(41,1),(82,1),(86,1),(90,1),(91,1),(98,1),(142,1),(149,1),(150,1),(153,1),(193,1),(194,1),(208,1)}
        59:{1,2,4,6}:{(31,1),(32,1),(42,1),(83,1),(91,1)}
        60:{1,2,4,5}:{(33,1),(88,1),(92,1),(154,1),(189,1),(194,1)}
        61:{1,2,4,5}:{(34,1),(89,1),(93,1),(154,1),(158,1),(194,1)}
        62:{2,3,5,7}:{(36,1),(39,1),(70,1),(85,1),(94,1),(95,1)}
        63:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(40,1),(71,1),(94,1),(95,1),(96,1),(134,1),(155,1),(181,1)}
        64:{2,3,5,7}:{(37,1),(38,1),(41,1),(95,1),(96,1)}
        65:{2,3,4,6,7}:{(38,1),(42,1),(87,1),(96,1),(97,1),(133,1),(147,1),(157,1),(193,1)}
        66:{1,2,5,6}:{(39,1),(89,1),(94,1),(98,1),(194,1),(208,1)}
        67:{3,5,6}:{(40,1),(95,1),(99,1),(153,1),(193,1)}
        68:{2,4,6}:{(41,1),(96,1),(99,1),(100,1)}
        69:{2,3,5}:{(42,1),(91,1),(100,1),(153,1)}
        70:{2,3,6,7}:{(44,1),(62,1),(101,1),(102,1),(203,1)}
        71:{1,2,4,6,7}:{(43,1),(44,1),(45,1),(63,1),(101,1),(102,1),(103,1),(159,1),(175,1)}
        72:{2,3,5,6,7}:{(45,1),(64,1),(102,1),(103,1),(129,1),(160,1)}
        73:{3,4,6,7}:{(46,1),(47,1),(104,1),(105,1),(163,1),(180,1)}
        74:{1,5,6,7}:{(46,1),(104,1),(196,1)}
        75:{2,3,5,6,7}:{(46,1),(48,1),(105,1),(106,1),(129,1),(163,1)}
        76:{1,4,5,7}:{(47,1),(50,1),(104,1),(107,1)}
        77:{2,4,5,7}:{(47,1),(48,1),(51,1),(105,1)}
        78:{1,2,5,7}:{(48,1),(49,1),(52,1),(109,1)}
        79:{1,3,6,7}:{(49,1),(53,1),(109,1),(163,1)}
        80:{1,3,5,6}:{(50,1),(56,1),(107,1),(111,1),(112,1),(178,1),(204,1)}
        81:{1,2,4,5,6}:{(50,1),(51,1),(52,1),(108,1),(111,1),(112,1),(113,1),(122,1),(169,1),(175,1),(199,1),(209,1)}
        82:{1,3,5,6}:{(52,1),(53,1),(109,1),(112,1),(113,1),(114,1)}
        83:{1,3,4,6}:{(53,1),(54,1),(59,1),(113,1),(114,1),(121,1)}
        84:{1,3,4,7}:{(56,1),(107,1),(115,1),(166,1)}
        85:{2,3,4,7}:{(57,1),(62,1),(116,1),(127,1)}
        86:{1,2,3,5,7}:{(55,1),(58,1),(64,1),(109,1),(117,1),(118,1),(126,1),(165,1),(171,1),(174,1),(202,1)}
        87:{1,2,4,6,7}:{(55,1),(59,1),(65,1),(110,1),(117,1),(118,1),(159,1),(175,1),(197,1)}
        88:{1,2,4,6}:{(56,1),(60,1),(111,1),(115,1),(119,1),(169,1)}
        89:{1,2,4,6}:{(57,1),(61,1),(66,1),(116,1),(120,1),(130,1)}
        90:{1,2,4,6}:{(58,1),(68,1),(113,1),(117,1),(121,1),(122,1),(130,1),(169,1)}
        91:{1,2,5}:{(59,1),(69,1),(114,1)}
        92:{2,3,5}:{(60,1),(119,1),(124,1)}
        93:{1,3,5}:{(61,1),(120,1),(125,1)}
        94:{1,2,5,7}:{(62,1),(66,1),(101,1),(116,1),(126,1)}
        95:{3,5,7}:{(63,1),(67,1),(102,1),(127,1)}
        96:{2,4,7}:{(64,1),(68,1),(127,1)}
        97:{2,3,5,7}:{(65,1),(69,1),(118,1),(128,1),(129,1),(160,1),(174,1)}
        98:{1,3,5,6}:{(66,1),(67,1),(120,1),(126,1),(130,1),(178,1),(196,1),(204,1)}
        99:{3,4,6}:{(67,1),(68,1),(127,1),(130,1),(131,1)}
       100:{2,4,5}:{(68,1),(69,1),(131,1)}
       101:{1,2,6,7}:{(70,1),(94,1),(132,1),(208,1)}
       102:{3,6,7}:{(71,1),(95,1),(193,1)}
       103:{2,4,6,7}:{(72,1),(96,1),(133,1),(134,1),(157,1)}
       104:{1,4,6,7}:{(73,1),(74,1),(76,1),(135,1),(195,1)}
       105:{2,4,6,7}:{(73,1),(75,1),(77,1),(157,1)}
       106:{1,2,5,6,7}:{(74,1),(75,1),(78,1),(136,1),(137,1),(149,1),(205,1)}
       107:{1,3,5,7}:{(76,1),(80,1),(84,1),(135,1),(138,1),(139,1)}
       108:{1,2,4,5,7}:{(76,1),(77,1),(78,1),(81,1),(136,1),(138,1),(139,1),(140,1),(185,1),(186,1),(205,1)}
       109:{1,3,5,7}:{(78,1),(79,1),(82,1),(139,1),(140,1)}
       110:{1,3,4,6,7}:{(79,1),(83,1),(87,1),(140,1),(141,1),(147,1),(184,1),(188,1),(193,1)}
       111:{1,2,5,6}:{(80,1),(88,1),(138,1),(142,1),(194,1),(208,1)}
       112:{3,5,6}:{(81,1),(139,1),(143,1),(153,1),(193,1)}
       113:{1,4,6}:{(82,1),(140,1),(143,1),(144,1)}
       114:{1,3,5}:{(83,1),(91,1),(144,1),(153,1)}
       115:{1,2,4,7}:{(84,1),(88,1),(138,1),(145,1),(186,1)}
       116:{1,2,4,7}:{(85,1),(89,1),(94,1),(146,1),(155,1)}
       117:{1,2,4,7}:{(86,1),(90,1),(96,1),(140,1),(147,1),(155,1),(186,1)}
       118:{1,2,5,7}:{(87,1),(91,1),(97,1),(141,1),(149,1),(181,1),(205,1)}
       119:{2,3,6}:{(88,1),(92,1),(145,1)}
       120:{1,3,6}:{(89,1),(93,1),(146,1)}
       121:{3,4,6}:{(90,1),(147,1),(153,1),(193,1)}
       122:{1,2,4,5}:{(90,1),(91,1),(100,1),(144,1),(153,1),(158,1),(189,1),(194,1)}
       123:{1,2,3,5}:{(92,1),(93,1),(150,1),(154,1),(194,1)}
       124:{2,3,4}:{(92,1),(154,1)}
       125:{1,3,4}:{(93,1),(154,1)}
       126:{1,3,5,7}:{(94,1),(95,1),(98,1),(132,1),(146,1),(155,1),(181,1)}
       127:{3,4,7}:{(95,1),(96,1),(99,1),(155,1)}
       128:{2,4,5,7}:{(96,1),(97,1),(100,1),(156,1),(157,1)}
       129:{2,3,5,6}:{(97,1),(149,1),(157,1),(182,1),(193,1)}
       130:{1,4,6}:{(98,1),(99,1),(155,1),(158,1)}
       131:{3,4,5}:{(99,1),(100,1),(153,1),(158,1)}
       132:{1,3,6,7}:{(101,1),(102,1),(126,1),(159,1),(204,1)}
       133:{3,4,6,7}:{(102,1),(103,1),(127,1),(159,1),(160,1),(180,1)}
       134:{2,4,5,7}:{(103,1),(160,1),(161,1)}
       135:{1,3,6,7}:{(104,1),(107,1),(162,1),(163,1),(204,1)}
       136:{1,2,4,6,7}:{(104,1),(105,1),(106,1),(108,1),(162,1),(163,1),(164,1),(175,1),(197,1)}
       137:{1,3,5,6,7}:{(106,1),(109,1),(163,1),(164,1),(168,1),(198,1)}
       138:{1,2,5,7}:{(107,1),(111,1),(115,1),(162,1),(165,1)}
       139:{3,5,7}:{(108,1),(112,1),(163,1),(166,1)}
       140:{1,4,7}:{(109,1),(113,1),(166,1)}
       141:{1,3,5,7}:{(110,1),(114,1),(118,1),(167,1),(168,1),(174,1),(198,1)}
       142:{2,3,5,6}:{(111,1),(112,1),(119,1),(165,1),(169,1),(177,1),(203,1),(209,1)}
       143:{3,4,6}:{(112,1),(113,1),(166,1),(169,1),(170,1)}
       144:{1,4,5}:{(113,1),(114,1),(170,1)}
       145:{2,3,7}:{(115,1),(119,1)}
       146:{1,3,7}:{(116,1),(120,1)}
       147:{3,4,7}:{(117,1),(121,1),(174,1)}
       148:{1,2,4,5,7}:{(117,1),(118,1),(122,1),(128,1),(167,1),(174,1),(175,1),(179,1),(200,1),(202,1)}
       149:{1,2,5,6}:{(118,1),(129,1),(168,1),(175,1),(196,1),(209,1)}
       150:{1,2,3,6}:{(119,1),(120,1),(123,1),(171,1),(176,1)}
       151:{2,3,4,6}:{(119,1),(121,1),(124,1),(169,1),(172,1),(176,1),(177,1),(203,1)}
       152:{1,3,4,6}:{(120,1),(121,1),(125,1),(130,1),(173,1),(176,1),(178,1),(204,1)}
       153:{3,5}:{(121,1),(122,1)}
       154:{1,2,4}:{(123,1),(124,1),(125,1)}
       155:{1,4,7}:{(126,1),(127,1),(130,1)}
       156:{3,4,5,7}:{(127,1),(128,1),(131,1),(160,1),(174,1),(179,1),(180,1)}
       157:{2,4,6}:{(128,1),(129,1),(180,1)}
       158:{1,4,5}:{(130,1),(131,1),(178,1)}
       159:{1,4,6,7}:{(132,1),(133,1),(155,1),(181,1),(195,1)}
       160:{3,5,7}:{(133,1),(134,1),(181,1),(182,1)}
       161:{2,4,5,6}:{(134,1),(157,1),(182,1)}
       162:{1,2,6,7}:{(135,1),(138,1),(183,1),(208,1)}
       163:{3,6,7}:{(136,1),(139,1),(193,1)}
       164:{1,4,6,7}:{(137,1),(140,1),(184,1),(185,1),(188,1)}
       165:{2,3,5,7}:{(138,1),(139,1),(142,1),(145,1),(183,1),(186,1),(205,1)}
       166:{3,4,7}:{(139,1),(140,1),(143,1),(186,1)}
       167:{1,4,5,7}:{(140,1),(141,1),(144,1),(187,1),(188,1)}
       168:{1,3,5,6}:{(141,1),(149,1),(188,1),(193,1),(206,1)}
       169:{2,4,6}:{(142,1),(143,1),(186,1),(189,1)}
       170:{3,4,5}:{(143,1),(144,1),(153,1),(189,1)}
       171:{1,2,3,7}:{(145,1),(146,1),(150,1),(190,1)}
       172:{2,3,4,7}:{(145,1),(147,1),(151,1),(186,1),(190,1),(191,1)}
       173:{1,3,4,7}:{(146,1),(147,1),(152,1),(155,1),(190,1),(192,1)}
       174:{3,5,7}:{(147,1),(148,1),(153,1),(193,1)}
       175:{1,2,4,6}:{(148,1),(149,1),(157,1),(188,1),(193,1),(195,1),(207,1),(208,1)}
       176:{1,2,4,6}:{(150,1),(151,1),(152,1),(154,1),(190,1),(194,1),(208,1)}
       177:{2,3,5}:{(151,1),(153,1),(189,1),(194,1)}
       178:{1,3,5}:{(152,1),(153,1),(158,1),(194,1)}
       179:{1,4,5,7}:{(155,1),(156,1),(158,1),(181,1),(192,1),(195,1)}
       180:{3,4,6}:{(156,1),(157,1),(182,1),(193,1),(195,1)}
       181:{1,5,7}:{(159,1),(160,1),(196,1)}
       182:{3,5,6}:{(160,1),(161,1),(180,1),(196,1)}
       183:{2,3,6,7}:{(162,1),(163,1),(165,1),(197,1),(203,1)}
       184:{3,4,6,7}:{(163,1),(164,1),(166,1),(197,1),(198,1),(201,1)}
       185:{1,4,5,7}:{(164,1),(198,1),(199,1)}
       186:{2,4,7}:{(165,1),(166,1),(169,1)}
       187:{3,4,5,7}:{(166,1),(167,1),(170,1),(174,1),(198,1),(200,1),(201,1)}
       188:{1,4,6}:{(167,1),(168,1),(201,1)}
       189:{2,4,5}:{(169,1),(170,1),(177,1)}
       190:{1,2,4,7}:{(171,1),(172,1),(173,1),(176,1),(202,1)}
       191:{2,3,5,7}:{(172,1),(174,1),(177,1),(200,1),(202,1),(203,1)}
       192:{1,3,5,7}:{(173,1),(174,1),(178,1),(179,1),(202,1),(204,1)}
       193:{3,6}:{(174,1),(175,1)}
       194:{1,2,5}:{(176,1),(177,1),(178,1)}
       195:{1,4,6}:{(179,1),(180,1),(196,1),(204,1)}
       196:{1,5,6}:{(181,1),(182,1),(195,1)}
       197:{2,4,6,7}:{(183,1),(184,1),(186,1),(205,1),(207,1)}
       198:{3,5,7}:{(184,1),(185,1),(205,1),(206,1)}
       199:{1,4,5,6}:{(185,1),(188,1),(206,1)}
       200:{2,4,5,7}:{(186,1),(187,1),(189,1),(191,1),(205,1),(207,1)}
       201:{3,4,6}:{(187,1),(188,1),(193,1),(206,1),(207,1)}
       202:{1,2,5,7}:{(190,1),(191,1),(192,1),(194,1),(208,1)}
       203:{2,3,6}:{(191,1),(193,1),(207,1),(208,1)}
       204:{1,3,6}:{(192,1),(193,1),(195,1),(208,1)}
       205:{2,5,7}:{(197,1),(198,1),(209,1)}
       206:{3,5,6}:{(198,1),(199,1),(201,1),(209,1)}
       207:{2,4,6}:{(200,1),(201,1),(203,1),(209,1)}
       208:{1,2,6}:{(202,1),(203,1),(204,1)}
       209:{2,5,6}:{(205,1),(206,1),(207,1)}

1769 :   0:{1,4,5,6,7}:{(1,1),(12,1),(205,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(208,1)}
         2:{3,4,5,6}:{(7,1),(8,1),(9,1),(35,1),(184,1),(204,1)}
         3:{1,3,4,5,7}:{(10,1),(11,1),(32,1),(82,1),(83,1),(89,1),(143,1),(150,1),(185,1),(188,1)}
         4:{3,4,6,7}:{(1,1),(7,1),(12,1),(13,1),(43,1),(204,1)}
         5:{1,3,5,6,7}:{(1,1),(12,1),(14,1),(32,1),(43,1),(189,1)}
         6:{2,5,6,7}:{(1,1),(13,1),(209,1)}
         7:{3,4,5,7}:{(2,1),(4,1),(18,1),(19,1),(54,1)}
         8:{1,4,5,6}:{(2,1),(17,1),(18,1),(172,1),(199,1)}
         9:{2,4,5,6}:{(2,1),(16,1),(19,1),(192,1),(207,1)}
        10:{1,3,4,6}:{(3,1),(17,1),(24,1),(55,1),(168,1),(197,1),(199,1)}
        11:{1,2,4,5,7}:{(3,1),(24,1),(25,1),(52,1),(62,1),(113,1),(114,1),(123,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(18,1),(199,1)}
        13:{2,4,6,7}:{(4,1),(6,1),(19,1),(22,1),(207,1)}
        14:{1,2,5,6,7}:{(5,1),(6,1),(26,1),(27,1),(52,1),(124,1),(174,1)}
        15:{2,3,4,5}:{(28,1),(29,1),(83,1),(131,1),(179,1)}
        16:{2,3,5,6}:{(9,1),(28,1),(30,1),(31,1),(35,1),(179,1),(202,1)}
        17:{1,3,5,6}:{(8,1),(10,1),(32,1),(33,1),(35,1),(150,1),(152,1)}
        18:{1,4,5,7}:{(7,1),(8,1),(12,1),(32,1)}
        19:{2,4,5,7}:{(7,1),(9,1),(13,1),(30,1)}
        20:{1,2,4,5,6}:{(8,1),(9,1),(31,1),(33,1),(34,1),(35,1),(79,1),(81,1),(96,1),(142,1),(152,1),(186,1)}
        21:{2,3,4,5,7}:{(36,1),(37,1),(42,1),(85,1),(94,1),(144,1),(183,1),(184,1),(185,1),(201,1)}
        22:{2,3,6,7}:{(13,1),(30,1),(39,1),(43,1),(202,1)}
        23:{1,3,4,6,7}:{(10,1),(12,1),(32,1),(40,1),(43,1),(82,1),(92,1)}
        24:{1,2,4,6}:{(10,1),(11,1),(33,1),(41,1),(81,1)}
        25:{2,3,5,7}:{(11,1),(41,1),(42,1),(94,1),(185,1)}
        26:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(34,1),(39,1),(43,1),(44,1),(92,1),(186,1)}
        27:{2,3,5,6,7}:{(14,1),(43,1),(44,1),(80,1),(95,1),(153,1)}
        28:{2,3,4,6}:{(15,1),(16,1),(46,1),(47,1),(55,1)}
        29:{1,2,4,5}:{(15,1),(47,1),(48,1),(102,1),(112,1),(160,1)}
        30:{2,3,5,7}:{(16,1),(19,1),(22,1),(46,1),(50,1),(54,1)}
        31:{1,2,5,6}:{(16,1),(47,1),(50,1),(51,1),(160,1),(194,1)}
        32:{1,3,5,7}:{(17,1),(18,1),(23,1),(52,1),(54,1),(124,1)}
        33:{1,2,5,6}:{(17,1),(24,1),(52,1),(53,1),(123,1)}
        34:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(26,1),(50,1),(52,1),(54,1),(67,1),(111,1),(113,1),(124,1)}
        35:{3,5,6}:{(20,1),(54,1),(55,1),(166,1),(197,1)}
        36:{2,3,4,6}:{(21,1),(57,1),(59,1),(164,1),(169,1),(197,1),(207,1)}
        37:{1,2,4,5,7}:{(21,1),(59,1),(60,1),(62,1),(118,1),(123,1),(171,1),(172,1)}
        38:{1,2,3,5,7}:{(25,1),(60,1),(61,1),(62,1),(123,1)}
        39:{1,2,6,7}:{(22,1),(50,1),(63,1),(194,1)}
        40:{1,2,4,6,7}:{(23,1),(24,1),(52,1),(64,1),(113,1)}
        41:{2,3,6}:{(24,1),(25,1),(197,1)}
        42:{2,3,4,7}:{(25,1),(62,1),(65,1),(113,1),(165,1)}
        43:{3,6,7}:{(26,1),(54,1),(197,1)}
        44:{2,4,6,7}:{(27,1),(66,1),(67,1),(113,1),(169,1)}
        45:{1,3,4,5}:{(68,1),(69,1),(73,1),(135,1),(184,1)}
        46:{2,3,4,7}:{(28,1),(30,1),(71,1),(82,1)}
        47:{1,2,4,6}:{(28,1),(29,1),(31,1),(71,1),(72,1),(79,1)}
        48:{1,3,5}:{(29,1),(72,1),(73,1)}
        49:{3,4,5,6}:{(74,1),(75,1),(76,1),(83,1),(139,1),(145,1)}
        50:{1,2,5,7}:{(30,1),(31,1),(39,1),(71,1),(78,1)}
        51:{1,3,5,6}:{(31,1),(35,1),(72,1),(78,1),(79,1),(135,1),(152,1),(181,1)}
        52:{1,2,5,7}:{(32,1),(33,1),(40,1),(80,1)}
        53:{2,3,5,6}:{(33,1),(35,1),(41,1),(80,1),(81,1),(94,1)}
        54:{3,5,7}:{(34,1),(35,1),(43,1),(82,1)}
        55:{3,4,6}:{(35,1),(79,1),(81,1),(82,1),(83,1)}
        56:{2,4,5,6,7}:{(84,1),(96,1),(137,1)}
        57:{2,3,5,6}:{(36,1),(76,1),(85,1),(86,1),(94,1),(139,1),(209,1)}
        58:{2,3,4,6,7}:{(36,1),(85,1),(87,1),(137,1),(182,1),(183,1),(200,1)}
        59:{1,2,4,6}:{(36,1),(37,1),(86,1),(88,1),(148,1)}
        60:{1,3,5,7}:{(37,1),(88,1),(89,1),(150,1),(185,1)}
        61:{1,2,3,6}:{(38,1),(41,1),(88,1),(91,1)}
        62:{1,2,4,7}:{(38,1),(42,1),(89,1),(91,1)}
        63:{1,3,6,7}:{(39,1),(43,1),(78,1),(92,1),(181,1)}
        64:{2,3,6,7}:{(40,1),(41,1),(43,1),(80,1)}
        65:{2,3,4,6}:{(41,1),(42,1),(81,1),(91,1),(94,1),(140,1)}
        66:{3,4,6,7}:{(43,1),(44,1),(82,1),(92,1),(95,1),(145,1)}
        67:{2,4,5,7}:{(44,1),(95,1),(96,1)}
        68:{1,3,4,6}:{(45,1),(97,1),(98,1),(99,1),(164,1)}
        69:{1,2,4,5}:{(45,1),(99,1),(100,1),(102,1),(160,1),(192,1)}
        70:{1,2,3,5}:{(48,1),(100,1),(101,1),(102,1),(160,1)}
        71:{1,2,4,7}:{(46,1),(47,1),(50,1),(103,1),(111,1)}
        72:{1,3,6}:{(47,1),(48,1),(103,1)}
        73:{1,3,4}:{(48,1),(102,1)}
        74:{3,4,5,7}:{(49,1),(105,1),(106,1),(107,1),(163,1)}
        75:{1,4,5,6}:{(49,1),(97,1),(106,1),(112,1),(168,1)}
        76:{2,4,5,6}:{(49,1),(57,1),(107,1),(114,1),(169,1)}
        77:{1,2,3,5,6}:{(51,1),(53,1),(61,1),(101,1),(109,1),(110,1),(119,1),(123,1),(156,1),(160,1),(166,1),(174,1),(194,1),(197,1)}
        78:{1,3,5,7}:{(50,1),(51,1),(54,1),(63,1),(103,1),(111,1),(124,1)}
        79:{1,4,6}:{(51,1),(55,1),(111,1),(112,1)}
        80:{2,3,5,7}:{(52,1),(53,1),(54,1),(64,1),(113,1)}
        81:{2,4,6}:{(53,1),(55,1),(113,1),(114,1)}
        82:{3,4,7}:{(54,1),(55,1),(111,1),(113,1)}
        83:{3,4,5}:{(55,1),(112,1),(114,1),(166,1)}
        84:{3,5,6,7}:{(56,1),(105,1),(116,1),(126,1)}
        85:{2,3,5,7}:{(57,1),(58,1),(107,1),(118,1),(163,1),(206,1)}
        86:{1,2,5,6}:{(57,1),(59,1),(118,1),(119,1),(123,1)}
        87:{1,2,4,6,7}:{(58,1),(59,1),(118,1),(120,1),(171,1)}
        88:{1,3,6}:{(59,1),(60,1),(197,1)}
        89:{1,3,4,7}:{(60,1),(62,1),(121,1),(165,1),(171,1)}
        90:{1,2,3,6,7}:{(61,1),(63,1),(64,1),(109,1),(120,1),(122,1),(190,1),(194,1),(197,1)}
        91:{1,2,4,6}:{(61,1),(62,1),(65,1),(121,1),(123,1)}
        92:{1,4,6,7}:{(63,1),(66,1),(111,1),(124,1),(168,1)}
        93:{2,3,4,6,7}:{(64,1),(65,1),(66,1),(113,1),(122,1),(125,1),(165,1),(169,1),(197,1)}
        94:{2,3,5}:{(65,1),(114,1),(123,1),(166,1)}
        95:{3,5,7}:{(66,1),(67,1),(124,1),(126,1)}
        96:{2,4,5,6}:{(67,1),(126,1),(169,1)}
        97:{1,3,5,6}:{(68,1),(75,1),(127,1),(128,1),(135,1),(139,1),(181,1)}
        98:{1,3,4,7}:{(68,1),(127,1),(129,1),(183,1)}
        99:{1,2,4,6}:{(68,1),(69,1),(128,1),(129,1),(130,1),(177,1)}
       100:{2,3,5}:{(69,1),(130,1),(131,1)}
       101:{1,2,3,6}:{(70,1),(72,1),(130,1),(132,1),(133,1)}
       102:{1,2,4}:{(70,1),(73,1),(131,1)}
       103:{1,3,7}:{(71,1),(72,1)}
       104:{1,3,4,6}:{(72,1),(73,1),(79,1),(133,1),(134,1),(135,1),(140,1),(181,1)}
       105:{3,4,6,7}:{(74,1),(84,1),(136,1),(137,1),(145,1),(182,1)}
       106:{1,4,5,7}:{(74,1),(75,1),(127,1),(136,1)}
       107:{2,4,5,7}:{(74,1),(76,1),(85,1),(137,1)}
       108:{1,2,4,5,6}:{(75,1),(76,1),(86,1),(128,1),(138,1),(139,1),(142,1),(148,1),(177,1),(186,1),(205,1),(209,1)}
       109:{1,2,3,5,7}:{(77,1),(78,1),(80,1),(90,1),(132,1),(141,1),(147,1),(151,1),(176,1),(180,1),(185,1)}
       110:{1,2,4,6}:{(77,1),(79,1),(81,1),(140,1),(141,1),(142,1),(148,1),(177,1)}
       111:{1,4,7}:{(78,1),(79,1),(82,1)}
       112:{1,4,5}:{(79,1),(83,1),(135,1)}
       113:{2,4,7}:{(80,1),(81,1),(82,1)}
       114:{2,4,5}:{(81,1),(83,1),(94,1)}
       115:{3,4,5,7}:{(82,1),(83,1),(95,1),(143,1),(144,1),(145,1),(185,1)}
       116:{1,5,6,7}:{(84,1),(136,1),(152,1)}
       117:{2,3,5,6,7}:{(84,1),(85,1),(137,1),(146,1),(153,1),(182,1)}
       118:{1,2,5,7}:{(85,1),(86,1),(87,1),(147,1)}
       119:{1,3,5,6}:{(86,1),(88,1),(139,1),(147,1),(148,1),(150,1)}
       120:{1,3,6,7}:{(87,1),(88,1),(147,1),(182,1)}
       121:{1,3,4,6}:{(88,1),(89,1),(91,1),(140,1),(148,1),(150,1)}
       122:{1,2,4,6,7}:{(90,1),(91,1),(92,1),(93,1),(141,1),(149,1),(151,1),(186,1),(200,1)}
       123:{1,2,5}:{(91,1),(94,1),(150,1)}
       124:{1,5,7}:{(92,1),(95,1),(152,1)}
       125:{2,3,5,7}:{(93,1),(94,1),(95,1),(144,1),(151,1),(153,1),(185,1)}
       126:{3,5,6}:{(95,1),(96,1),(145,1),(152,1)}
       127:{1,3,5,7}:{(97,1),(98,1),(106,1),(154,1),(155,1),(163,1)}
       128:{1,2,5,6}:{(97,1),(99,1),(155,1),(156,1),(160,1),(194,1)}
       129:{1,2,4,7}:{(98,1),(99,1),(155,1),(157,1),(191,1)}
       130:{2,3,6}:{(99,1),(100,1),(157,1)}
       131:{2,3,4}:{(100,1),(102,1)}
       132:{1,2,3,7}:{(101,1),(103,1),(157,1),(159,1)}
       133:{1,2,4,6}:{(101,1),(102,1),(104,1),(158,1),(159,1),(160,1),(194,1)}
       134:{1,3,4,7}:{(103,1),(104,1),(111,1),(159,1),(161,1),(165,1)}
       135:{1,3,5}:{(104,1),(112,1),(160,1),(166,1)}
       136:{1,4,6,7}:{(105,1),(106,1),(116,1),(154,1),(168,1)}
       137:{2,4,6,7}:{(105,1),(107,1),(117,1),(169,1)}
       138:{1,2,4,5,7}:{(106,1),(107,1),(108,1),(118,1),(155,1),(162,1),(163,1),(171,1),(191,1),(198,1),(206,1)}
       139:{3,5,6}:{(108,1),(163,1),(164,1),(166,1),(197,1)}
       140:{3,4,6}:{(110,1),(165,1),(166,1),(197,1)}
       141:{1,2,4,7}:{(109,1),(110,1),(111,1),(113,1),(165,1),(171,1),(191,1)}
       142:{1,2,4,5}:{(110,1),(112,1),(114,1),(123,1),(160,1),(166,1),(172,1),(192,1)}
       143:{1,4,5,7}:{(111,1),(112,1),(115,1),(124,1),(161,1),(168,1)}
       144:{2,4,5,7}:{(113,1),(114,1),(115,1),(125,1),(169,1)}
       145:{3,4,6}:{(115,1),(126,1),(168,1),(169,1),(197,1)}
       146:{1,2,5,6,7}:{(116,1),(117,1),(118,1),(162,1),(170,1),(174,1),(206,1)}
       147:{1,3,5,7}:{(118,1),(119,1),(120,1),(163,1),(171,1)}
       148:{1,4,6}:{(119,1),(164,1),(171,1),(172,1)}
       149:{1,3,4,6,7}:{(120,1),(121,1),(122,1),(165,1),(171,1),(173,1),(195,1),(197,1),(199,1)}
       150:{1,3,5}:{(121,1),(123,1),(166,1),(172,1)}
       151:{1,2,5,7}:{(122,1),(123,1),(124,1),(125,1),(173,1),(174,1),(206,1)}
       152:{1,5,6}:{(124,1),(126,1),(168,1)}
       153:{2,3,5,6}:{(125,1),(126,1),(169,1),(174,1),(197,1)}
       154:{1,3,6,7}:{(127,1),(136,1),(175,1),(181,1),(182,1)}
       155:{1,2,5,7}:{(127,1),(128,1),(129,1),(175,1),(176,1)}
       156:{2,3,5,6}:{(128,1),(130,1),(139,1),(176,1),(177,1),(179,1),(202,1),(209,1)}
       157:{2,3,7}:{(129,1),(130,1)}
       158:{2,3,4,6}:{(130,1),(131,1),(133,1),(140,1),(177,1),(178,1),(179,1),(202,1)}
       159:{1,2,4,7}:{(132,1),(133,1),(134,1),(178,1),(180,1)}
       160:{1,2,5}:{(133,1),(135,1),(179,1)}
       161:{1,3,5,7}:{(134,1),(135,1),(143,1),(180,1),(181,1),(185,1)}
       162:{1,2,4,6,7}:{(136,1),(137,1),(138,1),(146,1),(175,1),(182,1),(186,1),(187,1),(200,1)}
       163:{3,5,7}:{(138,1),(139,1),(182,1),(183,1)}
       164:{3,4,6}:{(139,1),(148,1),(177,1),(183,1),(184,1)}
       165:{3,4,7}:{(140,1),(141,1),(185,1)}
       166:{3,5}:{(140,1),(142,1)}
       167:{1,2,4,5,7}:{(141,1),(142,1),(143,1),(144,1),(151,1),(180,1),(185,1),(186,1),(188,1),(201,1)}
       168:{1,4,6}:{(143,1),(145,1),(152,1),(181,1)}
       169:{2,4,6}:{(144,1),(145,1),(153,1)}
       170:{1,3,5,6,7}:{(146,1),(147,1),(182,1),(187,1),(189,1),(203,1)}
       171:{1,4,7}:{(147,1),(148,1),(183,1)}
       172:{1,4,5}:{(148,1),(150,1),(184,1)}
       173:{1,3,5,7}:{(149,1),(150,1),(151,1),(185,1),(188,1),(189,1),(203,1)}
       174:{1,2,5,6}:{(151,1),(152,1),(153,1),(186,1),(189,1),(209,1)}
       175:{1,2,6,7}:{(154,1),(155,1),(190,1),(194,1)}
       176:{2,3,5,7}:{(155,1),(156,1),(157,1),(163,1),(190,1),(191,1),(206,1)}
       177:{2,4,6}:{(156,1),(164,1),(191,1),(192,1)}
       178:{2,3,4,7}:{(157,1),(158,1),(159,1),(165,1),(191,1),(193,1)}
       179:{2,3,5}:{(158,1),(160,1),(166,1),(192,1)}
       180:{1,2,5,7}:{(159,1),(160,1),(161,1),(193,1),(194,1)}
       181:{1,3,6}:{(161,1),(168,1),(194,1),(197,1)}
       182:{3,6,7}:{(162,1),(163,1),(197,1)}
       183:{3,4,7}:{(163,1),(164,1),(171,1),(191,1)}
       184:{3,4,5}:{(164,1),(166,1),(172,1),(192,1)}
       185:{3,5,7}:{(165,1),(166,1),(167,1),(197,1)}
       186:{1,2,4,6}:{(167,1),(168,1),(169,1),(174,1),(194,1),(197,1),(199,1),(207,1)}
       187:{1,4,6,7}:{(170,1),(171,1),(195,1),(198,1),(199,1)}
       188:{1,4,5,7}:{(171,1),(172,1),(173,1),(196,1),(199,1)}
       189:{1,3,5,6}:{(173,1),(174,1),(197,1),(199,1),(208,1)}
       190:{2,3,6,7}:{(175,1),(176,1),(182,1),(200,1),(202,1)}
       191:{2,4,7}:{(176,1),(177,1),(183,1)}
       192:{2,4,5}:{(177,1),(179,1),(184,1)}
       193:{2,3,5,7}:{(178,1),(179,1),(180,1),(185,1),(201,1),(202,1)}
       194:{1,2,6}:{(180,1),(181,1),(202,1)}
       195:{3,4,6,7}:{(182,1),(183,1),(187,1),(200,1),(203,1),(204,1)}
       196:{3,4,5,7}:{(183,1),(184,1),(185,1),(188,1),(201,1),(203,1),(204,1)}
       197:{3,6}:{(185,1),(186,1)}
       198:{1,4,5,7}:{(187,1),(203,1),(205,1)}
       199:{1,4,6}:{(188,1),(189,1),(204,1)}
       200:{2,4,6,7}:{(190,1),(191,1),(195,1),(206,1),(207,1)}
       201:{2,4,5,7}:{(191,1),(192,1),(193,1),(196,1),(206,1),(207,1)}
       202:{2,3,6}:{(193,1),(194,1),(197,1),(207,1)}
       203:{3,5,7}:{(195,1),(198,1),(206,1),(208,1)}
       204:{3,4,6}:{(196,1),(197,1),(199,1),(207,1),(208,1)}
       205:{1,4,5,6}:{(198,1),(199,1),(208,1)}
       206:{2,5,7}:{(200,1),(203,1),(209,1)}
       207:{2,4,6}:{(201,1),(202,1),(204,1),(209,1)}
       208:{3,5,6}:{(203,1),(204,1),(205,1),(209,1)}
       209:{2,5,6}:{(206,1),(207,1),(208,1)}

1770 :   0:{3,4,5,6}:{(3,1),(4,1),(5,1),(34,1),(77,1),(116,1),(140,1)}
         1:{1,3,4,5}:{(6,1),(9,1),(45,1),(77,1),(83,1)}
         2:{2,3,4,5}:{(7,1),(10,1),(44,1),(77,1),(81,1)}
         3:{3,4,5,7}:{(0,1),(14,1),(15,1),(16,1),(55,1),(130,1)}
         4:{1,4,5,6}:{(0,1),(11,1),(15,1),(95,1),(129,1)}
         5:{2,4,5,6}:{(0,1),(12,1),(16,1),(92,1),(127,1)}
         6:{1,3,4,6}:{(1,1),(11,1),(18,1),(19,1),(56,1)}
         7:{2,3,4,6}:{(2,1),(12,1),(20,1),(21,1),(56,1)}
         8:{1,2,3,5,6}:{(22,1),(23,1),(48,1),(51,1),(57,1),(63,1),(100,1),(104,1),(105,1),(132,1)}
         9:{1,2,4,5}:{(1,1),(19,1),(24,1),(66,1),(92,1),(100,1)}
        10:{1,2,4,5}:{(2,1),(21,1),(25,1),(66,1),(95,1),(100,1)}
        11:{1,3,5,6}:{(4,1),(6,1),(26,1),(27,1),(34,1),(83,1),(119,1)}
        12:{2,3,5,6}:{(5,1),(7,1),(28,1),(29,1),(34,1),(81,1),(118,1)}
        13:{4,5,6,7}:{(30,1),(114,1),(140,1)}
        14:{3,4,6,7}:{(3,1),(30,1),(31,1),(32,1),(75,1),(114,1),(116,1)}
        15:{1,4,5,7}:{(3,1),(4,1),(26,1),(31,1)}
        16:{2,4,5,7}:{(3,1),(5,1),(28,1),(32,1)}
        17:{1,2,4,5,6}:{(4,1),(5,1),(27,1),(29,1),(33,1),(34,1),(42,1),(70,1),(73,1),(87,1),(109,1),(137,1),(138,1),(139,1),(140,1)}
        18:{1,3,4,7}:{(6,1),(26,1),(35,1),(76,1)}
        19:{1,2,4,6}:{(6,1),(9,1),(27,1),(35,1),(36,1),(70,1)}
        20:{2,3,4,7}:{(7,1),(28,1),(37,1),(76,1)}
        21:{1,2,4,6}:{(7,1),(10,1),(29,1),(37,1),(38,1),(73,1)}
        22:{1,2,3,5,7}:{(8,1),(40,1),(41,1),(69,1),(72,1),(78,1),(85,1),(86,1),(117,1)}
        23:{1,2,4,6}:{(8,1),(39,1),(41,1),(42,1),(70,1),(73,1)}
        24:{2,3,5}:{(9,1),(36,1),(44,1)}
        25:{1,3,5}:{(10,1),(38,1),(45,1)}
        26:{1,3,5,7}:{(11,1),(15,1),(18,1),(46,1),(47,1),(55,1)}
        27:{1,2,5,6}:{(11,1),(19,1),(47,1),(48,1),(100,1),(132,1)}
        28:{2,3,5,7}:{(12,1),(16,1),(20,1),(49,1),(50,1),(55,1)}
        29:{1,2,5,6}:{(12,1),(21,1),(50,1),(51,1),(100,1),(132,1)}
        30:{3,5,6,7}:{(13,1),(14,1),(52,1),(53,1),(131,1)}
        31:{1,4,6,7}:{(14,1),(15,1),(46,1),(52,1),(129,1)}
        32:{2,4,6,7}:{(14,1),(16,1),(49,1),(53,1),(127,1)}
        33:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(47,1),(50,1),(54,1),(55,1),(91,1),(94,1),(126,1),(128,1),(130,1)}
        34:{3,5,6}:{(17,1),(55,1),(56,1),(63,1),(104,1),(123,1),(142,1)}
        35:{1,2,4,7}:{(18,1),(19,1),(47,1),(58,1),(91,1)}
        36:{2,3,6}:{(19,1),(24,1),(58,1)}
        37:{1,2,4,7}:{(20,1),(21,1),(50,1),(60,1),(94,1)}
        38:{1,3,6}:{(21,1),(25,1),(60,1)}
        39:{3,4,6}:{(23,1),(62,1),(63,1),(104,1)}
        40:{1,2,3,6,7}:{(22,1),(64,1),(90,1),(93,1),(104,1),(132,1)}
        41:{1,2,4,7}:{(22,1),(23,1),(62,1),(91,1),(94,1)}
        42:{1,2,4,5}:{(23,1),(63,1),(92,1),(95,1),(100,1)}
        43:{1,2,3,5}:{(24,1),(25,1),(57,1),(66,1),(100,1)}
        44:{2,3,4}:{(24,1),(66,1)}
        45:{1,3,4}:{(25,1),(66,1)}
        46:{1,3,6,7}:{(26,1),(31,1),(68,1),(75,1),(119,1)}
        47:{1,2,5,7}:{(26,1),(27,1),(35,1),(68,1),(69,1)}
        48:{2,3,5,6}:{(27,1),(34,1),(36,1),(69,1),(70,1),(81,1),(118,1),(138,1)}
        49:{2,3,6,7}:{(28,1),(32,1),(71,1),(75,1),(118,1)}
        50:{1,2,5,7}:{(28,1),(29,1),(37,1),(71,1),(72,1)}
        51:{1,3,5,6}:{(29,1),(34,1),(38,1),(72,1),(73,1),(83,1),(119,1),(139,1)}
        52:{1,5,6,7}:{(30,1),(31,1),(139,1)}
        53:{2,5,6,7}:{(30,1),(32,1),(138,1)}
        54:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(68,1),(71,1),(74,1),(75,1),(87,1),(110,1),(112,1),(114,1),(137,1)}
        55:{3,5,7}:{(33,1),(34,1),(75,1),(76,1)}
        56:{3,4,6}:{(34,1),(70,1),(73,1),(76,1),(77,1)}
        57:{1,2,3,6}:{(36,1),(38,1),(43,1),(78,1),(79,1)}
        58:{2,3,7}:{(35,1),(36,1)}
        59:{2,3,4,6}:{(36,1),(39,1),(44,1),(70,1),(79,1),(80,1),(81,1),(106,1),(118,1)}
        60:{1,3,7}:{(37,1),(38,1)}
        61:{1,3,4,6}:{(38,1),(39,1),(45,1),(73,1),(79,1),(82,1),(83,1),(106,1),(119,1)}
        62:{3,4,7}:{(39,1),(41,1),(85,1)}
        63:{3,5}:{(39,1),(42,1)}
        64:{1,2,4,6,7}:{(40,1),(41,1),(84,1),(86,1),(87,1),(110,1),(112,1)}
        65:{1,2,4,5,7}:{(41,1),(42,1),(85,1),(86,1),(87,1),(111,1),(113,1),(117,1),(120,1)}
        66:{1,2,4}:{(43,1),(44,1),(45,1)}
        67:{1,2,3,5,6}:{(48,1),(51,1),(57,1),(88,1),(89,1),(100,1),(123,1),(132,1),(142,1),(143,1)}
        68:{1,2,6,7}:{(46,1),(47,1),(90,1),(132,1)}
        69:{2,3,5,7}:{(47,1),(48,1),(55,1),(58,1),(90,1),(91,1),(126,1)}
        70:{2,4,6}:{(48,1),(56,1),(91,1),(92,1)}
        71:{1,2,6,7}:{(49,1),(50,1),(93,1),(132,1)}
        72:{1,3,5,7}:{(50,1),(51,1),(55,1),(60,1),(93,1),(94,1),(128,1)}
        73:{1,4,6}:{(51,1),(56,1),(94,1),(95,1)}
        74:{1,2,5,6,7}:{(52,1),(53,1),(54,1),(96,1),(105,1),(126,1),(128,1),(143,1)}
        75:{3,6,7}:{(54,1),(55,1),(104,1),(142,1)}
        76:{3,4,7}:{(55,1),(56,1),(91,1),(94,1)}
        77:{3,4,5}:{(56,1),(63,1),(92,1),(95,1),(123,1)}
        78:{1,2,3,7}:{(57,1),(58,1),(60,1),(99,1)}
        79:{1,2,4,6}:{(57,1),(59,1),(61,1),(66,1),(99,1),(100,1),(132,1)}
        80:{2,3,4,7}:{(58,1),(59,1),(62,1),(91,1),(99,1),(101,1),(122,1)}
        81:{2,3,5}:{(59,1),(63,1),(92,1),(100,1),(123,1)}
        82:{1,3,4,7}:{(60,1),(61,1),(62,1),(94,1),(99,1),(102,1),(122,1)}
        83:{1,3,5}:{(61,1),(63,1),(95,1),(100,1),(123,1)}
        84:{3,4,6,7}:{(62,1),(64,1),(103,1),(104,1),(133,1)}
        85:{3,5,7}:{(62,1),(63,1),(65,1),(104,1)}
        86:{1,2,5,7}:{(64,1),(103,1),(105,1),(126,1),(128,1)}
        87:{1,2,4,6}:{(65,1),(104,1),(105,1),(127,1),(129,1),(132,1),(133,1)}
        88:{1,2,3,5,7}:{(67,1),(69,1),(72,1),(78,1),(107,1),(108,1),(117,1),(135,1),(136,1)}
        89:{1,2,4,6}:{(67,1),(70,1),(73,1),(106,1),(108,1),(109,1)}
        90:{2,3,6,7}:{(68,1),(69,1),(75,1),(110,1),(118,1)}
        91:{2,4,7}:{(69,1),(70,1),(76,1)}
        92:{2,4,5}:{(70,1),(77,1),(81,1)}
        93:{1,3,6,7}:{(71,1),(72,1),(75,1),(112,1),(119,1)}
        94:{1,4,7}:{(72,1),(73,1),(76,1)}
        95:{1,4,5}:{(73,1),(77,1),(83,1)}
        96:{3,5,6,7}:{(74,1),(75,1),(114,1),(115,1),(121,1),(145,1)}
        97:{3,4,6,7}:{(75,1),(76,1),(110,1),(112,1),(114,1),(115,1),(116,1)}
        98:{3,4,5,7}:{(76,1),(77,1),(85,1),(111,1),(113,1),(115,1),(116,1),(120,1),(135,1),(144,1)}
        99:{1,2,4,7}:{(78,1),(79,1),(80,1),(82,1),(117,1)}
       100:{1,2,5}:{(79,1),(81,1),(83,1)}
       101:{2,3,5,7}:{(80,1),(81,1),(85,1),(111,1),(117,1),(118,1),(135,1)}
       102:{1,3,5,7}:{(82,1),(83,1),(85,1),(113,1),(117,1),(119,1),(135,1)}
       103:{3,5,7}:{(84,1),(86,1),(120,1),(121,1)}
       104:{3,6}:{(85,1),(87,1)}
       105:{1,2,5,6}:{(86,1),(87,1),(121,1),(138,1),(139,1)}
       106:{3,4,6}:{(89,1),(122,1),(123,1),(142,1)}
       107:{1,2,3,6,7}:{(88,1),(90,1),(93,1),(124,1),(132,1),(142,1)}
       108:{1,2,4,7}:{(88,1),(89,1),(91,1),(94,1),(122,1)}
       109:{1,2,4,5}:{(89,1),(92,1),(95,1),(100,1),(123,1)}
       110:{2,4,6,7}:{(90,1),(91,1),(97,1),(126,1),(127,1)}
       111:{2,4,5,7}:{(91,1),(92,1),(98,1),(101,1),(126,1),(127,1)}
       112:{1,4,6,7}:{(93,1),(94,1),(97,1),(128,1),(129,1)}
       113:{1,4,5,7}:{(94,1),(95,1),(98,1),(102,1),(128,1),(129,1)}
       114:{4,6,7}:{(96,1),(130,1),(133,1),(146,1)}
       115:{3,5,7}:{(97,1),(126,1),(128,1),(130,1),(131,1)}
       116:{3,4,6}:{(98,1),(104,1),(127,1),(129,1),(131,1),(133,1),(142,1),(146,1)}
       117:{1,2,5,7}:{(99,1),(100,1),(101,1),(102,1),(132,1)}
       118:{2,3,6}:{(101,1),(104,1),(127,1),(132,1),(142,1)}
       119:{1,3,6}:{(102,1),(104,1),(129,1),(132,1),(142,1)}
       120:{4,5,7}:{(103,1),(133,1)}
       121:{3,5,6}:{(103,1),(104,1),(105,1),(133,1)}
       122:{3,4,7}:{(106,1),(108,1),(135,1)}
       123:{3,5}:{(106,1),(109,1)}
       124:{1,2,4,6,7}:{(107,1),(108,1),(110,1),(112,1),(134,1),(136,1),(137,1)}
       125:{1,2,4,5,7}:{(108,1),(109,1),(111,1),(113,1),(117,1),(135,1),(136,1),(137,1),(144,1)}
       126:{2,5,7}:{(110,1),(115,1),(138,1)}
       127:{2,4,6}:{(111,1),(116,1),(118,1),(138,1)}
       128:{1,5,7}:{(112,1),(115,1),(139,1)}
       129:{1,4,6}:{(113,1),(116,1),(119,1),(139,1)}
       130:{4,5,7}:{(114,1),(115,1),(140,1)}
       131:{3,5,6}:{(115,1),(116,1),(138,1),(139,1),(140,1)}
       132:{1,2,6}:{(117,1),(118,1),(119,1)}
       133:{4,6}:{(120,1),(121,1)}
       134:{3,4,6,7}:{(122,1),(124,1),(141,1),(142,1),(146,1)}
       135:{3,5,7}:{(122,1),(123,1),(125,1),(142,1)}
       136:{1,2,5,7}:{(124,1),(126,1),(128,1),(141,1),(143,1)}
       137:{1,2,4,6}:{(125,1),(127,1),(129,1),(132,1),(142,1),(143,1),(146,1)}
       138:{2,5,6}:{(126,1),(127,1),(131,1)}
       139:{1,5,6}:{(128,1),(129,1),(131,1)}
       140:{4,5,6}:{(130,1),(131,1),(133,1),(146,1)}
       141:{3,5,7}:{(134,1),(136,1),(144,1),(145,1)}
       142:{3,6}:{(135,1),(137,1)}
       143:{1,2,5,6}:{(136,1),(137,1),(138,1),(139,1),(145,1)}
       144:{4,5,7}:{(141,1),(146,1)}
       145:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

1771 :   0:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(27,1),(29,1),(53,1),(66,1)}
         1:{2,3,5,6,7}:{(4,1),(6,1),(17,1),(28,1),(29,1),(50,1),(67,1)}
         2:{1,3,4,6,7}:{(7,1),(8,1),(14,1),(33,1),(48,1),(70,1),(78,1),(84,1),(107,1),(111,1),(119,1)}
         3:{2,3,4,6,7}:{(9,1),(10,1),(15,1),(35,1),(49,1),(73,1),(81,1),(85,1),(108,1),(112,1),(119,1)}
         4:{1,2,5,6,7}:{(0,1),(1,1),(13,1),(32,1),(34,1),(46,1),(47,1),(86,1)}
         5:{1,4,6,7}:{(0,1),(11,1),(14,1),(33,1),(72,1),(84,1)}
         6:{2,4,6,7}:{(1,1),(12,1),(15,1),(35,1),(69,1),(85,1)}
         7:{1,2,4,6,7}:{(2,1),(20,1),(21,1),(30,1),(51,1),(59,1),(68,1),(105,1),(125,1)}
         8:{1,3,5,7}:{(2,1),(16,1),(21,1),(22,1),(27,1),(60,1),(120,1),(123,1)}
         9:{1,2,4,6,7}:{(3,1),(23,1),(24,1),(31,1),(54,1),(62,1),(68,1),(105,1),(122,1)}
        10:{2,3,5,7}:{(3,1),(17,1),(24,1),(25,1),(28,1),(63,1),(121,1),(124,1)}
        11:{1,4,5,7}:{(5,1),(18,1),(27,1),(91,1)}
        12:{2,4,5,7}:{(6,1),(19,1),(28,1),(87,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(26,1),(29,1),(30,1),(31,1),(51,1),(54,1),(68,1),(105,1)}
        14:{3,4,6,7}:{(5,1),(27,1),(29,1),(30,1),(52,1),(65,1),(92,1)}
        15:{3,4,6,7}:{(6,1),(28,1),(29,1),(31,1),(55,1),(65,1),(88,1)}
        16:{1,3,5,6}:{(8,1),(32,1),(33,1),(37,1),(70,1)}
        17:{2,3,5,6}:{(10,1),(34,1),(35,1),(38,1),(73,1)}
        18:{1,4,5,6}:{(11,1),(33,1),(37,1)}
        19:{2,4,5,6}:{(12,1),(35,1),(38,1)}
        20:{2,3,6,7}:{(7,1),(39,1),(70,1),(119,1),(133,1)}
        21:{1,2,5,7}:{(7,1),(8,1),(32,1),(39,1),(46,1),(132,1)}
        22:{1,4,5,7}:{(8,1),(33,1),(41,1),(84,1),(114,1)}
        23:{1,3,6,7}:{(9,1),(42,1),(73,1),(119,1),(131,1)}
        24:{1,2,5,7}:{(9,1),(10,1),(34,1),(42,1),(47,1),(130,1)}
        25:{2,4,5,7}:{(10,1),(35,1),(44,1),(85,1),(115,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(36,1),(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        27:{3,5,7}:{(11,1),(14,1),(37,1),(46,1),(110,1)}
        28:{3,5,7}:{(12,1),(15,1),(38,1),(47,1),(106,1)}
        29:{3,6,7}:{(13,1),(45,1),(70,1),(73,1),(119,1)}
        30:{2,4,6,7}:{(14,1),(46,1),(49,1),(71,1),(85,1),(112,1)}
        31:{1,4,6,7}:{(15,1),(47,1),(48,1),(74,1),(84,1),(107,1)}
        32:{1,2,5,6}:{(16,1),(21,1),(50,1),(51,1),(57,1),(120,1)}
        33:{1,4,6}:{(16,1),(22,1),(52,1)}
        34:{1,2,5,6}:{(17,1),(24,1),(53,1),(54,1),(58,1),(124,1)}
        35:{2,4,6}:{(17,1),(25,1),(55,1)}
        36:{1,2,4,5,6}:{(18,1),(19,1),(26,1),(51,1),(54,1),(56,1),(57,1),(58,1),(87,1),(91,1),(96,1),(97,1),(98,1),(120,1),(124,1),(126,1)}
        37:{3,5,6}:{(18,1),(27,1),(52,1),(57,1)}
        38:{3,5,6}:{(19,1),(28,1),(55,1),(58,1)}
        39:{2,3,5,7}:{(20,1),(21,1),(50,1),(59,1),(60,1),(136,1)}
        40:{1,2,4,5,7}:{(21,1),(22,1),(51,1),(59,1),(60,1),(61,1),(87,1),(99,1),(101,1),(105,1),(120,1),(126,1)}
        41:{3,4,5,7}:{(22,1),(27,1),(52,1),(60,1),(61,1),(65,1),(95,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(53,1),(62,1),(63,1),(135,1)}
        43:{1,2,4,5,7}:{(24,1),(25,1),(54,1),(62,1),(63,1),(64,1),(91,1),(103,1),(104,1),(105,1),(124,1),(126,1)}
        44:{3,4,5,7}:{(25,1),(28,1),(55,1),(63,1),(64,1),(65,1),(95,1)}
        45:{3,5,7}:{(26,1),(29,1),(56,1),(65,1)}
        46:{2,5,7}:{(27,1),(30,1),(57,1),(124,1)}
        47:{1,5,7}:{(28,1),(31,1),(58,1),(120,1)}
        48:{1,3,6,7}:{(29,1),(31,1),(66,1),(68,1),(89,1),(93,1)}
        49:{2,3,6,7}:{(29,1),(30,1),(67,1),(68,1),(90,1),(94,1)}
        50:{2,3,5,6}:{(32,1),(39,1),(69,1),(70,1),(106,1)}
        51:{1,2,4,6}:{(32,1),(33,1),(40,1),(69,1),(70,1),(71,1),(107,1),(109,1)}
        52:{3,4,6}:{(33,1),(37,1),(41,1),(70,1),(71,1)}
        53:{1,3,5,6}:{(34,1),(42,1),(72,1),(73,1),(110,1)}
        54:{1,2,4,6}:{(34,1),(35,1),(43,1),(72,1),(73,1),(74,1),(112,1),(113,1)}
        55:{3,4,6}:{(35,1),(38,1),(44,1),(73,1),(74,1)}
        56:{3,5,6}:{(36,1),(45,1),(70,1),(73,1),(75,1),(106,1),(110,1),(134,1)}
        57:{2,5,6}:{(37,1),(46,1),(71,1)}
        58:{1,5,6}:{(38,1),(47,1),(74,1)}
        59:{2,4,7}:{(39,1),(69,1),(78,1),(139,1)}
        60:{3,5,7}:{(40,1),(70,1),(78,1),(106,1),(119,1),(134,1)}
        61:{2,4,5,7}:{(41,1),(46,1),(71,1),(80,1),(85,1),(115,1)}
        62:{1,4,7}:{(42,1),(72,1),(81,1),(138,1)}
        63:{3,5,7}:{(43,1),(73,1),(81,1),(110,1),(119,1),(134,1)}
        64:{1,4,5,7}:{(44,1),(47,1),(74,1),(82,1),(84,1),(114,1)}
        65:{3,4,7}:{(45,1),(75,1),(84,1),(85,1),(119,1)}
        66:{1,3,5,7}:{(45,1),(47,1),(48,1),(76,1),(84,1),(86,1),(119,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(49,1),(77,1),(85,1),(86,1),(119,1)}
        68:{1,2,6,7}:{(48,1),(49,1),(86,1),(109,1),(113,1)}
        69:{2,4,6}:{(50,1),(59,1),(87,1),(88,1)}
        70:{3,6}:{(51,1),(60,1)}
        71:{2,4,6}:{(52,1),(57,1),(61,1),(90,1)}
        72:{1,4,6}:{(53,1),(62,1),(91,1),(92,1)}
        73:{3,6}:{(54,1),(63,1)}
        74:{1,4,6}:{(55,1),(58,1),(64,1),(93,1)}
        75:{3,4,6}:{(56,1),(65,1),(95,1),(96,1),(97,1),(127,1),(137,1)}
        76:{1,3,5,6}:{(56,1),(58,1),(66,1),(89,1),(93,1),(96,1),(98,1),(120,1),(123,1),(127,1),(135,1)}
        77:{2,3,5,6}:{(56,1),(57,1),(67,1),(90,1),(94,1),(97,1),(98,1),(121,1),(124,1),(127,1),(136,1)}
        78:{3,4,7}:{(59,1),(60,1),(88,1),(99,1),(137,1)}
        79:{1,3,5,7}:{(60,1),(89,1),(99,1),(101,1),(120,1),(128,1),(135,1)}
        80:{2,3,5,7}:{(60,1),(61,1),(90,1),(100,1),(101,1),(121,1)}
        81:{3,4,7}:{(62,1),(63,1),(92,1),(103,1),(137,1)}
        82:{1,3,5,7}:{(63,1),(64,1),(93,1),(102,1),(104,1),(123,1)}
        83:{2,3,5,7}:{(63,1),(94,1),(103,1),(104,1),(124,1),(129,1),(136,1)}
        84:{1,4,7}:{(65,1),(66,1),(96,1)}
        85:{2,4,7}:{(65,1),(67,1),(97,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(98,1),(105,1)}
        87:{2,4,5}:{(69,1),(106,1)}
        88:{3,4,6}:{(69,1),(70,1),(78,1),(106,1),(107,1)}
        89:{1,3,6}:{(70,1),(79,1),(107,1),(109,1)}
        90:{2,3,6}:{(70,1),(71,1),(80,1),(109,1)}
        91:{1,4,5}:{(72,1),(110,1)}
        92:{3,4,6}:{(72,1),(73,1),(81,1),(110,1),(112,1)}
        93:{1,3,6}:{(73,1),(74,1),(82,1),(113,1)}
        94:{2,3,6}:{(73,1),(83,1),(112,1),(113,1)}
        95:{3,4,5}:{(75,1),(106,1),(110,1),(114,1),(115,1),(134,1)}
        96:{1,4,6}:{(75,1),(76,1),(84,1),(114,1),(138,1)}
        97:{2,4,6}:{(75,1),(77,1),(85,1),(115,1),(139,1)}
        98:{1,2,5,6}:{(76,1),(77,1),(86,1),(109,1),(113,1),(116,1),(130,1),(132,1)}
        99:{1,4,7}:{(78,1),(79,1),(107,1),(138,1)}
       100:{2,3,4,7}:{(78,1),(80,1),(85,1),(108,1),(117,1),(119,1)}
       101:{1,2,5,7}:{(79,1),(80,1),(109,1),(117,1),(130,1)}
       102:{1,3,4,7}:{(81,1),(82,1),(84,1),(111,1),(118,1),(119,1)}
       103:{2,4,7}:{(81,1),(83,1),(112,1),(139,1)}
       104:{1,2,5,7}:{(82,1),(83,1),(113,1),(118,1),(132,1)}
       105:{1,2,4,7}:{(84,1),(85,1),(86,1),(116,1),(119,1)}
       106:{3,5}:{(87,1),(88,1),(120,1)}
       107:{1,4,6}:{(88,1),(89,1),(99,1),(120,1)}
       108:{2,3,4,6}:{(88,1),(90,1),(97,1),(100,1),(121,1),(122,1),(127,1),(137,1)}
       109:{1,2,6}:{(89,1),(90,1),(101,1)}
       110:{3,5}:{(91,1),(92,1),(124,1)}
       111:{1,3,4,6}:{(92,1),(93,1),(96,1),(102,1),(123,1),(125,1),(127,1),(137,1)}
       112:{2,4,6}:{(92,1),(94,1),(103,1),(124,1)}
       113:{1,2,6}:{(93,1),(94,1),(104,1)}
       114:{1,4,5}:{(95,1),(96,1),(120,1),(123,1)}
       115:{2,4,5}:{(95,1),(97,1),(121,1),(124,1)}
       116:{1,2,4,6}:{(96,1),(97,1),(98,1),(105,1),(126,1),(127,1)}
       117:{1,2,4,7}:{(99,1),(100,1),(101,1),(122,1),(128,1)}
       118:{1,2,4,7}:{(102,1),(103,1),(104,1),(125,1),(129,1)}
       119:{3,7}:{(105,1),(127,1)}
       120:{1,5}:{(106,1),(107,1)}
       121:{2,3,5}:{(106,1),(108,1),(115,1),(130,1),(134,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(117,1),(130,1),(131,1),(138,1)}
       123:{1,3,5}:{(110,1),(111,1),(114,1),(132,1),(134,1)}
       124:{2,5}:{(110,1),(112,1)}
       125:{1,2,4,6}:{(111,1),(112,1),(113,1),(118,1),(132,1),(133,1),(139,1)}
       126:{1,2,4,5}:{(114,1),(115,1),(116,1),(130,1),(132,1),(134,1),(138,1),(139,1)}
       127:{3,6}:{(116,1),(119,1),(134,1)}
       128:{1,3,7}:{(117,1),(119,1),(131,1)}
       129:{2,3,7}:{(118,1),(119,1),(133,1)}
       130:{1,2,5}:{(120,1),(121,1),(122,1),(135,1)}
       131:{1,3,6}:{(122,1),(127,1),(128,1),(135,1)}
       132:{1,2,5}:{(123,1),(124,1),(125,1),(136,1)}
       133:{2,3,6}:{(125,1),(127,1),(129,1),(136,1)}
       134:{3,5}:{(126,1),(127,1),(137,1)}
       135:{1,3,5}:{(130,1),(131,1),(134,1),(138,1)}
       136:{2,3,5}:{(132,1),(133,1),(134,1),(139,1)}
       137:{3,4}:{(134,1),(138,1),(139,1)}
       138:{1,4}:{(135,1),(137,1)}
       139:{2,4}:{(136,1),(137,1)}

1772 :   0:{1,2,3,5,6}:{(1,1),(2,1),(7,1),(11,1),(36,1),(38,1),(40,1),(42,1),(44,1),(77,1)}
         1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(17,1),(24,1),(26,1),(56,1),(59,1),(61,1)}
         2:{1,2,4,6}:{(0,1),(3,1),(5,1),(6,1),(51,1),(53,1)}
         3:{3,4,6}:{(2,1),(10,1),(11,1),(42,1)}
         4:{1,2,3,6,7}:{(1,1),(12,1),(42,1),(77,1),(79,1),(80,1)}
         5:{1,2,4,7}:{(1,1),(2,1),(10,1),(72,1),(74,1)}
         6:{1,2,4,5}:{(2,1),(11,1),(31,1),(32,1),(36,1)}
         7:{1,2,3,6}:{(15,1),(17,1),(18,1),(85,1)}
         8:{2,3,4,6}:{(3,1),(18,1),(19,1),(20,1),(46,1),(51,1),(58,1),(83,1),(85,1)}
         9:{1,3,4,6}:{(3,1),(18,1),(21,1),(22,1),(46,1),(53,1),(60,1),(83,1),(85,1)}
        10:{3,4,7}:{(3,1),(5,1),(24,1)}
        11:{3,5}:{(3,1),(6,1)}
        12:{1,2,4,6,7}:{(4,1),(5,1),(23,1),(26,1),(27,1),(90,1),(92,1)}
        13:{1,2,4,5,7}:{(5,1),(6,1),(24,1),(26,1),(27,1),(50,1),(52,1),(56,1),(62,1)}
        14:{1,2,4,5,6}:{(6,1),(25,1),(27,1),(28,1),(51,1),(53,1),(57,1),(89,1),(91,1),(93,1)}
        15:{1,2,3,5}:{(7,1),(30,1),(36,1),(67,1)}
        16:{3,4,5}:{(11,1),(31,1),(32,1),(34,1),(67,1)}
        17:{1,2,3,7}:{(7,1),(35,1),(99,1)}
        18:{1,2,4,6}:{(7,1),(8,1),(9,1),(30,1),(35,1),(36,1),(77,1)}
        19:{2,3,4,7}:{(8,1),(10,1),(35,1),(37,1),(66,1),(72,1),(99,1)}
        20:{2,3,5}:{(8,1),(11,1),(31,1),(36,1),(67,1),(97,1)}
        21:{1,3,4,7}:{(9,1),(10,1),(35,1),(39,1),(66,1),(74,1),(99,1)}
        22:{1,3,5}:{(9,1),(11,1),(32,1),(36,1),(67,1),(97,1)}
        23:{3,4,6,7}:{(10,1),(12,1),(41,1),(42,1),(81,1)}
        24:{3,5,7}:{(10,1),(11,1),(13,1),(42,1)}
        25:{3,5,6}:{(11,1),(14,1),(34,1),(42,1),(43,1)}
        26:{1,2,5,7}:{(12,1),(41,1),(44,1),(102,1),(103,1)}
        27:{1,2,4,6}:{(13,1),(42,1),(44,1),(71,1),(73,1),(77,1),(81,1)}
        28:{1,2,4,5,7}:{(14,1),(43,1),(45,1),(72,1),(74,1),(78,1),(102,1),(103,1),(104,1)}
        29:{1,2,3,5,7}:{(15,1),(17,1),(47,1),(48,1),(56,1),(84,1),(86,1)}
        30:{1,2,4}:{(15,1),(46,1)}
        31:{2,4,5}:{(16,1),(20,1),(51,1),(105,1)}
        32:{1,4,5}:{(16,1),(22,1),(53,1),(105,1)}
        33:{3,4,5,7}:{(16,1),(24,1),(50,1),(52,1),(54,1),(55,1),(62,1),(84,1),(94,1),(105,1),(111,1)}
        34:{3,4,6}:{(16,1),(25,1),(51,1),(53,1),(55,1),(85,1)}
        35:{1,2,4,7}:{(17,1),(18,1),(19,1),(21,1),(56,1)}
        36:{1,2,5}:{(18,1),(20,1),(22,1)}
        37:{2,3,5,7}:{(19,1),(20,1),(24,1),(50,1),(56,1),(58,1),(84,1)}
        38:{2,3,5,6}:{(20,1),(25,1),(51,1),(57,1),(58,1),(59,1),(85,1),(89,1),(106,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(24,1),(52,1),(56,1),(60,1),(84,1)}
        40:{1,3,5,6}:{(22,1),(25,1),(53,1),(57,1),(60,1),(61,1),(85,1),(91,1),(106,1)}
        41:{3,5,7}:{(23,1),(26,1),(62,1),(63,1)}
        42:{3,6}:{(24,1),(27,1)}
        43:{3,5,7}:{(25,1),(28,1),(55,1),(64,1)}
        44:{1,2,5,6}:{(26,1),(27,1),(63,1),(89,1),(91,1)}
        45:{1,2,4,6,7}:{(27,1),(28,1),(64,1),(65,1),(90,1),(92,1),(95,1),(96,1)}
        46:{3,4}:{(30,1),(67,1)}
        47:{1,2,3,6}:{(29,1),(68,1),(77,1),(98,1)}
        48:{1,2,4,7}:{(29,1),(30,1),(66,1),(68,1)}
        49:{1,2,4,5}:{(30,1),(31,1),(32,1),(36,1),(67,1),(70,1)}
        50:{2,4,5,7}:{(31,1),(33,1),(37,1),(71,1),(72,1),(102,1)}
        51:{2,4,6}:{(31,1),(34,1),(38,1),(72,1),(109,1)}
        52:{1,4,5,7}:{(32,1),(33,1),(39,1),(73,1),(74,1),(103,1)}
        53:{1,4,6}:{(32,1),(34,1),(40,1),(74,1),(109,1)}
        54:{3,4,6}:{(33,1),(42,1),(71,1),(73,1),(75,1),(81,1),(98,1),(109,1)}
        55:{3,4,7}:{(34,1),(43,1),(72,1),(74,1),(99,1)}
        56:{1,2,5,7}:{(35,1),(36,1),(37,1),(39,1),(77,1)}
        57:{1,2,5,6}:{(36,1),(38,1),(40,1),(70,1),(77,1),(78,1)}
        58:{2,3,6}:{(37,1),(42,1),(71,1),(77,1),(98,1)}
        59:{2,3,5,7}:{(38,1),(43,1),(72,1),(78,1),(79,1),(99,1),(102,1),(110,1)}
        60:{1,3,6}:{(39,1),(42,1),(73,1),(77,1),(98,1)}
        61:{1,3,5,7}:{(40,1),(43,1),(74,1),(78,1),(80,1),(99,1),(103,1),(110,1)}
        62:{4,5,7}:{(41,1),(81,1)}
        63:{3,5,6}:{(41,1),(42,1),(44,1),(81,1)}
        64:{3,6,7}:{(42,1),(43,1),(45,1)}
        65:{1,2,5,6,7}:{(44,1),(45,1),(82,1),(102,1),(103,1)}
        66:{3,4,7}:{(46,1),(48,1),(83,1),(84,1),(111,1)}
        67:{3,5}:{(46,1),(49,1),(85,1)}
        68:{1,2,4,6}:{(47,1),(48,1),(83,1),(86,1)}
        69:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(52,1),(56,1),(84,1),(86,1),(87,1),(88,1),(105,1),(108,1),(111,1)}
        70:{1,2,4,6}:{(49,1),(51,1),(53,1),(57,1),(85,1),(88,1)}
        71:{2,4,6}:{(50,1),(54,1),(58,1),(89,1)}
        72:{2,4,7}:{(51,1),(55,1),(59,1),(111,1)}
        73:{1,4,6}:{(52,1),(54,1),(60,1),(91,1)}
        74:{1,4,7}:{(53,1),(55,1),(61,1),(111,1)}
        75:{3,5,6}:{(54,1),(89,1),(91,1),(93,1),(94,1)}
        76:{3,4,6,7}:{(54,1),(55,1),(64,1),(90,1),(92,1),(94,1),(96,1),(107,1),(111,1)}
        77:{1,2,6}:{(56,1),(58,1),(60,1)}
        78:{1,2,5,7}:{(57,1),(59,1),(61,1),(88,1),(95,1)}
        79:{2,3,6,7}:{(58,1),(59,1),(64,1),(90,1),(95,1),(107,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(64,1),(92,1),(95,1),(107,1)}
        81:{4,6}:{(62,1),(63,1)}
        82:{3,5,6,7}:{(63,1),(64,1),(65,1),(94,1),(96,1)}
        83:{3,4,6}:{(66,1),(68,1),(97,1),(98,1),(109,1)}
        84:{3,5,7}:{(66,1),(67,1),(69,1),(97,1),(98,1),(99,1)}
        85:{3,6}:{(67,1),(70,1),(99,1)}
        86:{1,2,5}:{(68,1),(97,1)}
        87:{1,2,4,6}:{(69,1),(71,1),(73,1),(77,1),(98,1),(100,1),(109,1)}
        88:{1,2,4,7}:{(70,1),(72,1),(74,1),(78,1),(99,1)}
        89:{2,5,6}:{(71,1),(75,1),(102,1)}
        90:{2,4,6,7}:{(71,1),(72,1),(76,1),(79,1),(102,1)}
        91:{1,5,6}:{(73,1),(75,1),(103,1)}
        92:{1,4,6,7}:{(73,1),(74,1),(76,1),(80,1),(103,1)}
        93:{4,5,6}:{(75,1),(81,1),(104,1),(109,1)}
        94:{3,5,7}:{(75,1),(76,1),(102,1),(103,1),(104,1)}
        95:{1,2,6,7}:{(77,1),(78,1),(79,1),(80,1)}
        96:{4,6,7}:{(81,1),(82,1),(104,1)}
        97:{3,5}:{(83,1),(86,1),(105,1)}
        98:{3,6}:{(84,1),(87,1)}
        99:{3,7}:{(85,1),(88,1)}
       100:{1,2,5,6}:{(86,1),(87,1),(89,1),(91,1),(106,1),(108,1)}
       101:{1,2,4,6,7}:{(87,1),(88,1),(90,1),(92,1),(95,1),(107,1),(108,1),(111,1)}
       102:{2,5,7}:{(89,1),(90,1),(94,1)}
       103:{1,5,7}:{(91,1),(92,1),(94,1)}
       104:{4,5,7}:{(93,1),(94,1),(96,1),(111,1)}
       105:{4,5}:{(97,1),(109,1)}
       106:{3,5,6}:{(97,1),(98,1),(100,1),(109,1),(110,1)}
       107:{3,6,7}:{(98,1),(99,1),(101,1),(110,1)}
       108:{1,2,5,7}:{(100,1),(101,1),(102,1),(103,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1773 :   0:{1,2,3,6,7}:{(2,1),(3,1),(38,1),(75,1),(76,1),(77,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(11,1),(15,1),(38,1),(43,1),(44,1),(45,1),(46,1),(77,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(22,1),(84,1),(85,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(23,1),(59,1),(60,1),(61,1),(62,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(53,1),(54,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(13,1),(32,1),(38,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(11,1),(94,1),(95,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(13,1),(71,1),(72,1)}
         8:{1,2,4,5}:{(4,1),(15,1),(35,1),(36,1),(45,1)}
         9:{3,4,6}:{(4,1),(13,1),(15,1),(38,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,5,6}:{(6,1),(18,1),(22,1),(82,1),(83,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(22,1),(23,1),(50,1),(51,1),(59,1)}
        13:{3,4,7}:{(7,1),(9,1),(23,1)}
        14:{1,2,4,5,6}:{(8,1),(22,1),(26,1),(27,1),(47,1),(53,1),(54,1),(63,1),(82,1),(83,1)}
        15:{3,5}:{(8,1),(9,1)}
        16:{1,3,4,6}:{(9,1),(24,1),(28,1),(30,1),(53,1),(57,1),(89,1),(90,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(25,1),(29,1),(30,1),(54,1),(58,1),(89,1),(90,1),(105,1)}
        18:{3,5,6}:{(10,1),(11,1),(32,1),(38,1)}
        19:{4,5,7}:{(10,1),(32,1)}
        20:{3,4,5}:{(15,1),(34,1),(35,1),(36,1),(74,1)}
        21:{1,2,5,6,7}:{(11,1),(31,1),(37,1),(94,1),(95,1)}
        22:{1,2,4,6}:{(11,1),(12,1),(32,1),(38,1),(68,1),(69,1),(77,1)}
        23:{3,5,7}:{(12,1),(13,1),(15,1),(38,1)}
        24:{1,3,4,7}:{(13,1),(16,1),(39,1),(41,1),(71,1),(99,1),(100,1)}
        25:{2,3,4,7}:{(13,1),(17,1),(40,1),(41,1),(72,1),(99,1),(100,1)}
        26:{1,2,4,5,7}:{(14,1),(37,1),(42,1),(65,1),(71,1),(72,1),(79,1),(94,1),(95,1)}
        27:{3,5,6}:{(14,1),(15,1),(34,1),(38,1),(42,1)}
        28:{1,3,5}:{(15,1),(16,1),(35,1),(45,1),(74,1),(109,1)}
        29:{2,3,5}:{(15,1),(17,1),(36,1),(45,1),(74,1),(109,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(41,1),(45,1),(46,1),(77,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(21,1),(48,1),(56,1),(81,1)}
        32:{4,6}:{(18,1),(19,1)}
        33:{3,4,5,7}:{(19,1),(20,1),(23,1),(49,1),(50,1),(51,1),(52,1),(81,1),(87,1),(110,1),(111,1)}
        34:{3,4,6}:{(20,1),(27,1),(52,1),(53,1),(54,1),(89,1)}
        35:{1,4,5}:{(20,1),(28,1),(53,1),(111,1)}
        36:{2,4,5}:{(20,1),(29,1),(54,1),(111,1)}
        37:{1,2,4,6,7}:{(21,1),(22,1),(26,1),(48,1),(56,1),(84,1),(85,1),(91,1)}
        38:{3,6}:{(22,1),(23,1)}
        39:{1,3,5,7}:{(23,1),(24,1),(28,1),(50,1),(57,1),(59,1),(87,1)}
        40:{2,3,5,7}:{(23,1),(25,1),(29,1),(51,1),(58,1),(59,1),(87,1)}
        41:{1,2,4,7}:{(24,1),(25,1),(30,1),(59,1),(60,1)}
        42:{3,5,7}:{(26,1),(27,1),(52,1),(56,1)}
        43:{1,3,5,6}:{(27,1),(28,1),(53,1),(57,1),(61,1),(63,1),(82,1),(89,1),(103,1)}
        44:{2,3,5,6}:{(27,1),(29,1),(54,1),(58,1),(62,1),(63,1),(83,1),(89,1),(103,1)}
        45:{1,2,5}:{(28,1),(29,1),(30,1)}
        46:{1,2,3,6}:{(30,1),(60,1),(64,1),(89,1)}
        47:{4,5,6}:{(32,1),(65,1),(66,1),(108,1)}
        48:{4,6,7}:{(31,1),(32,1),(65,1)}
        49:{3,4,6}:{(32,1),(33,1),(38,1),(66,1),(68,1),(69,1),(98,1),(108,1)}
        50:{1,4,5,7}:{(33,1),(35,1),(39,1),(68,1),(71,1),(94,1)}
        51:{2,4,5,7}:{(33,1),(36,1),(40,1),(69,1),(72,1),(95,1)}
        52:{3,4,7}:{(34,1),(42,1),(71,1),(72,1),(100,1)}
        53:{1,4,6}:{(34,1),(35,1),(43,1),(71,1),(108,1)}
        54:{2,4,6}:{(34,1),(36,1),(44,1),(72,1),(108,1)}
        55:{1,2,4,5}:{(35,1),(36,1),(45,1),(73,1),(74,1),(80,1)}
        56:{3,6,7}:{(37,1),(38,1),(42,1)}
        57:{1,3,6}:{(38,1),(39,1),(68,1),(77,1),(98,1)}
        58:{2,3,6}:{(38,1),(40,1),(69,1),(77,1),(98,1)}
        59:{1,2,5,7}:{(39,1),(40,1),(41,1),(45,1),(77,1)}
        60:{1,2,3,7}:{(41,1),(46,1),(100,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(71,1),(75,1),(79,1),(94,1),(100,1),(107,1)}
        62:{2,3,5,7}:{(42,1),(44,1),(72,1),(76,1),(79,1),(95,1),(100,1),(107,1)}
        63:{1,2,5,6}:{(43,1),(44,1),(45,1),(73,1),(77,1),(79,1)}
        64:{1,2,3,5}:{(45,1),(46,1),(74,1),(80,1)}
        65:{4,5,7}:{(47,1),(48,1),(81,1),(110,1)}
        66:{3,5,6}:{(47,1),(49,1),(81,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(48,1),(49,1),(52,1),(56,1),(81,1),(84,1),(85,1),(104,1),(110,1)}
        68:{1,4,6}:{(49,1),(50,1),(57,1),(82,1)}
        69:{2,4,6}:{(49,1),(51,1),(58,1),(83,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(55,1),(59,1),(86,1),(87,1),(88,1),(93,1),(102,1),(106,1),(110,1),(111,1)}
        71:{1,4,7}:{(52,1),(53,1),(61,1),(110,1)}
        72:{2,4,7}:{(52,1),(54,1),(62,1),(110,1)}
        73:{1,2,4,6}:{(53,1),(54,1),(55,1),(63,1),(88,1),(89,1)}
        74:{3,5}:{(55,1),(89,1),(90,1)}
        75:{1,3,6,7}:{(56,1),(57,1),(61,1),(84,1),(91,1),(104,1)}
        76:{2,3,6,7}:{(56,1),(58,1),(62,1),(85,1),(91,1),(104,1)}
        77:{1,2,6}:{(57,1),(58,1),(59,1)}
        78:{1,2,3,5,7}:{(59,1),(60,1),(64,1),(87,1),(92,1),(93,1),(106,1)}
        79:{1,2,5,7}:{(61,1),(62,1),(63,1),(88,1),(91,1)}
        80:{1,2,4}:{(64,1),(90,1)}
        81:{3,5,7}:{(65,1),(66,1),(67,1),(94,1),(95,1)}
        82:{1,5,6}:{(66,1),(68,1),(94,1)}
        83:{2,5,6}:{(66,1),(69,1),(95,1)}
        84:{1,4,6,7}:{(67,1),(68,1),(71,1),(75,1),(94,1)}
        85:{2,4,6,7}:{(67,1),(69,1),(72,1),(76,1),(95,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(70,1),(77,1),(96,1),(98,1),(108,1)}
        87:{3,5,7}:{(70,1),(74,1),(98,1),(99,1),(100,1),(109,1)}
        88:{1,2,4,7}:{(71,1),(72,1),(73,1),(79,1),(100,1)}
        89:{3,6}:{(73,1),(74,1),(100,1)}
        90:{3,4}:{(74,1),(80,1)}
        91:{1,2,6,7}:{(75,1),(76,1),(77,1),(79,1)}
        92:{1,2,3,6}:{(77,1),(78,1),(98,1),(101,1)}
        93:{1,2,4,7}:{(78,1),(80,1),(99,1),(101,1)}
        94:{1,5,7}:{(81,1),(82,1),(84,1)}
        95:{2,5,7}:{(81,1),(83,1),(85,1)}
        96:{1,2,5,6}:{(82,1),(83,1),(86,1),(102,1),(103,1),(106,1)}
        97:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(102,1),(104,1),(110,1)}
        98:{3,6}:{(86,1),(87,1)}
        99:{3,4,7}:{(87,1),(90,1),(93,1),(105,1),(110,1)}
       100:{3,7}:{(88,1),(89,1)}
       101:{1,2,4,6}:{(92,1),(93,1),(105,1),(106,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(97,1),(107,1)}
       103:{3,5,6}:{(96,1),(98,1),(107,1),(108,1),(109,1)}
       104:{3,6,7}:{(97,1),(98,1),(100,1),(107,1)}
       105:{3,4,6}:{(98,1),(99,1),(101,1),(108,1),(109,1)}
       106:{1,2,5}:{(101,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(103,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1774 :   0:{3,4,5,6}:{(3,1),(4,1),(5,1),(29,1),(74,1),(114,1),(140,1)}
         1:{2,3,4,5}:{(6,1),(7,1),(40,1),(74,1),(82,1)}
         2:{1,3,4,5}:{(8,1),(9,1),(37,1),(74,1),(80,1)}
         3:{1,4,5,6}:{(0,1),(12,1),(14,1),(90,1),(126,1)}
         4:{2,4,5,6}:{(0,1),(11,1),(15,1),(93,1),(128,1)}
         5:{3,4,5,7}:{(0,1),(14,1),(15,1),(16,1),(52,1),(131,1)}
         6:{2,3,4,6}:{(1,1),(11,1),(17,1),(18,1),(51,1)}
         7:{1,2,4,5}:{(1,1),(17,1),(19,1),(58,1),(90,1),(99,1)}
         8:{1,3,4,6}:{(2,1),(12,1),(20,1),(21,1),(51,1)}
         9:{1,2,4,5}:{(2,1),(20,1),(22,1),(58,1),(93,1),(99,1)}
        10:{1,2,3,5,6}:{(23,1),(24,1),(45,1),(48,1),(57,1),(63,1),(99,1),(103,1),(105,1),(132,1)}
        11:{2,3,5,6}:{(4,1),(6,1),(25,1),(26,1),(29,1),(82,1),(119,1)}
        12:{1,3,5,6}:{(3,1),(8,1),(27,1),(28,1),(29,1),(80,1),(118,1)}
        13:{1,2,4,5,6}:{(3,1),(4,1),(25,1),(27,1),(29,1),(30,1),(42,1),(68,1),(71,1),(86,1),(107,1),(136,1),(138,1),(139,1),(140,1)}
        14:{1,4,5,7}:{(3,1),(5,1),(28,1),(31,1)}
        15:{2,4,5,7}:{(4,1),(5,1),(26,1),(32,1)}
        16:{3,4,6,7}:{(5,1),(31,1),(32,1),(33,1),(76,1),(114,1),(116,1)}
        17:{1,2,4,6}:{(6,1),(7,1),(25,1),(35,1),(36,1),(68,1)}
        18:{2,3,4,7}:{(6,1),(26,1),(36,1),(75,1)}
        19:{1,3,5}:{(7,1),(35,1),(37,1)}
        20:{1,2,4,6}:{(8,1),(9,1),(27,1),(38,1),(39,1),(71,1)}
        21:{1,3,4,7}:{(8,1),(28,1),(39,1),(75,1)}
        22:{2,3,5}:{(9,1),(38,1),(40,1)}
        23:{1,2,4,6}:{(10,1),(41,1),(42,1),(43,1),(68,1),(71,1)}
        24:{1,2,3,5,7}:{(10,1),(43,1),(44,1),(69,1),(72,1),(79,1),(84,1),(87,1),(117,1)}
        25:{1,2,5,6}:{(11,1),(17,1),(45,1),(46,1),(99,1),(132,1)}
        26:{2,3,5,7}:{(11,1),(15,1),(18,1),(46,1),(47,1),(52,1)}
        27:{1,2,5,6}:{(12,1),(20,1),(48,1),(49,1),(99,1),(132,1)}
        28:{1,3,5,7}:{(12,1),(14,1),(21,1),(49,1),(50,1),(52,1)}
        29:{3,5,6}:{(13,1),(51,1),(52,1),(63,1),(103,1),(122,1),(141,1)}
        30:{1,2,4,5,7}:{(13,1),(14,1),(15,1),(46,1),(49,1),(52,1),(53,1),(91,1),(94,1),(127,1),(129,1),(131,1)}
        31:{1,4,6,7}:{(14,1),(16,1),(50,1),(54,1),(126,1)}
        32:{2,4,6,7}:{(15,1),(16,1),(47,1),(55,1),(128,1)}
        33:{3,5,6,7}:{(16,1),(54,1),(55,1),(56,1),(130,1)}
        34:{1,2,3,5}:{(19,1),(22,1),(57,1),(58,1),(99,1)}
        35:{1,3,6}:{(17,1),(19,1),(60,1)}
        36:{1,2,4,7}:{(17,1),(18,1),(46,1),(60,1),(91,1)}
        37:{1,3,4}:{(19,1),(58,1)}
        38:{2,3,6}:{(20,1),(22,1),(62,1)}
        39:{1,2,4,7}:{(20,1),(21,1),(49,1),(62,1),(94,1)}
        40:{2,3,4}:{(22,1),(58,1)}
        41:{3,4,6}:{(23,1),(63,1),(64,1),(103,1)}
        42:{1,2,4,5}:{(23,1),(63,1),(90,1),(93,1),(99,1)}
        43:{1,2,4,7}:{(23,1),(24,1),(64,1),(91,1),(94,1)}
        44:{1,2,3,6,7}:{(24,1),(66,1),(92,1),(95,1),(103,1),(132,1)}
        45:{1,3,5,6}:{(25,1),(29,1),(35,1),(68,1),(69,1),(80,1),(118,1),(138,1)}
        46:{1,2,5,7}:{(25,1),(26,1),(36,1),(69,1),(70,1)}
        47:{2,3,6,7}:{(26,1),(32,1),(70,1),(76,1),(119,1)}
        48:{2,3,5,6}:{(27,1),(29,1),(38,1),(71,1),(72,1),(82,1),(119,1),(139,1)}
        49:{1,2,5,7}:{(27,1),(28,1),(39,1),(72,1),(73,1)}
        50:{1,3,6,7}:{(28,1),(31,1),(73,1),(76,1),(118,1)}
        51:{3,4,6}:{(29,1),(68,1),(71,1),(74,1),(75,1)}
        52:{3,5,7}:{(29,1),(30,1),(75,1),(76,1)}
        53:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(70,1),(73,1),(76,1),(77,1),(86,1),(111,1),(113,1),(116,1),(136,1)}
        54:{1,5,6,7}:{(31,1),(33,1),(138,1)}
        55:{2,5,6,7}:{(32,1),(33,1),(139,1)}
        56:{4,5,6,7}:{(33,1),(116,1),(140,1)}
        57:{1,2,3,6}:{(34,1),(35,1),(38,1),(78,1),(79,1)}
        58:{1,2,4}:{(34,1),(37,1),(40,1)}
        59:{1,3,4,6}:{(35,1),(37,1),(41,1),(68,1),(78,1),(80,1),(81,1),(106,1),(118,1)}
        60:{1,3,7}:{(35,1),(36,1)}
        61:{2,3,4,6}:{(38,1),(40,1),(41,1),(71,1),(78,1),(82,1),(83,1),(106,1),(119,1)}
        62:{2,3,7}:{(38,1),(39,1)}
        63:{3,5}:{(41,1),(42,1)}
        64:{3,4,7}:{(41,1),(43,1),(84,1)}
        65:{1,2,4,5,7}:{(42,1),(43,1),(84,1),(86,1),(87,1),(110,1),(112,1),(117,1),(121,1)}
        66:{1,2,4,6,7}:{(43,1),(44,1),(85,1),(86,1),(87,1),(111,1),(113,1)}
        67:{1,2,3,5,6}:{(45,1),(48,1),(57,1),(88,1),(89,1),(99,1),(122,1),(132,1),(141,1),(143,1)}
        68:{1,4,6}:{(45,1),(51,1),(90,1),(91,1)}
        69:{1,3,5,7}:{(45,1),(46,1),(52,1),(60,1),(91,1),(92,1),(127,1)}
        70:{1,2,6,7}:{(46,1),(47,1),(92,1),(132,1)}
        71:{2,4,6}:{(48,1),(51,1),(93,1),(94,1)}
        72:{2,3,5,7}:{(48,1),(49,1),(52,1),(62,1),(94,1),(95,1),(129,1)}
        73:{1,2,6,7}:{(49,1),(50,1),(95,1),(132,1)}
        74:{3,4,5}:{(51,1),(63,1),(90,1),(93,1),(122,1)}
        75:{3,4,7}:{(51,1),(52,1),(91,1),(94,1)}
        76:{3,6,7}:{(52,1),(53,1),(103,1),(141,1)}
        77:{1,2,5,6,7}:{(53,1),(54,1),(55,1),(98,1),(105,1),(127,1),(129,1),(143,1)}
        78:{1,2,4,6}:{(57,1),(58,1),(59,1),(61,1),(99,1),(100,1),(132,1)}
        79:{1,2,3,7}:{(57,1),(60,1),(62,1),(100,1)}
        80:{1,3,5}:{(59,1),(63,1),(90,1),(99,1),(122,1)}
        81:{1,3,4,7}:{(59,1),(60,1),(64,1),(91,1),(100,1),(101,1),(123,1)}
        82:{2,3,5}:{(61,1),(63,1),(93,1),(99,1),(122,1)}
        83:{2,3,4,7}:{(61,1),(62,1),(64,1),(94,1),(100,1),(102,1),(123,1)}
        84:{3,5,7}:{(63,1),(64,1),(65,1),(103,1)}
        85:{3,4,6,7}:{(64,1),(66,1),(103,1),(104,1),(133,1)}
        86:{1,2,4,6}:{(65,1),(103,1),(105,1),(126,1),(128,1),(132,1),(133,1)}
        87:{1,2,5,7}:{(66,1),(104,1),(105,1),(127,1),(129,1)}
        88:{1,2,4,6}:{(67,1),(68,1),(71,1),(106,1),(107,1),(108,1)}
        89:{1,2,3,5,7}:{(67,1),(69,1),(72,1),(79,1),(108,1),(109,1),(117,1),(134,1),(137,1)}
        90:{1,4,5}:{(68,1),(74,1),(80,1)}
        91:{1,4,7}:{(68,1),(69,1),(75,1)}
        92:{1,3,6,7}:{(69,1),(70,1),(76,1),(111,1),(118,1)}
        93:{2,4,5}:{(71,1),(74,1),(82,1)}
        94:{2,4,7}:{(71,1),(72,1),(75,1)}
        95:{2,3,6,7}:{(72,1),(73,1),(76,1),(113,1),(119,1)}
        96:{3,4,5,7}:{(74,1),(75,1),(84,1),(110,1),(112,1),(114,1),(115,1),(121,1),(134,1),(145,1)}
        97:{3,4,6,7}:{(75,1),(76,1),(111,1),(113,1),(114,1),(115,1),(116,1)}
        98:{3,5,6,7}:{(76,1),(77,1),(115,1),(116,1),(120,1),(144,1)}
        99:{1,2,5}:{(78,1),(80,1),(82,1)}
       100:{1,2,4,7}:{(78,1),(79,1),(81,1),(83,1),(117,1)}
       101:{1,3,5,7}:{(80,1),(81,1),(84,1),(110,1),(117,1),(118,1),(134,1)}
       102:{2,3,5,7}:{(82,1),(83,1),(84,1),(112,1),(117,1),(119,1),(134,1)}
       103:{3,6}:{(84,1),(86,1)}
       104:{3,5,7}:{(85,1),(87,1),(120,1),(121,1)}
       105:{1,2,5,6}:{(86,1),(87,1),(120,1),(138,1),(139,1)}
       106:{3,4,6}:{(88,1),(122,1),(123,1),(141,1)}
       107:{1,2,4,5}:{(88,1),(90,1),(93,1),(99,1),(122,1)}
       108:{1,2,4,7}:{(88,1),(89,1),(91,1),(94,1),(123,1)}
       109:{1,2,3,6,7}:{(89,1),(92,1),(95,1),(125,1),(132,1),(141,1)}
       110:{1,4,5,7}:{(90,1),(91,1),(96,1),(101,1),(126,1),(127,1)}
       111:{1,4,6,7}:{(91,1),(92,1),(97,1),(126,1),(127,1)}
       112:{2,4,5,7}:{(93,1),(94,1),(96,1),(102,1),(128,1),(129,1)}
       113:{2,4,6,7}:{(94,1),(95,1),(97,1),(128,1),(129,1)}
       114:{3,4,6}:{(96,1),(103,1),(126,1),(128,1),(130,1),(133,1),(141,1),(146,1)}
       115:{3,5,7}:{(97,1),(127,1),(129,1),(130,1),(131,1)}
       116:{4,6,7}:{(98,1),(131,1),(133,1),(146,1)}
       117:{1,2,5,7}:{(99,1),(100,1),(101,1),(102,1),(132,1)}
       118:{1,3,6}:{(101,1),(103,1),(126,1),(132,1),(141,1)}
       119:{2,3,6}:{(102,1),(103,1),(128,1),(132,1),(141,1)}
       120:{3,5,6}:{(103,1),(104,1),(105,1),(133,1)}
       121:{4,5,7}:{(104,1),(133,1)}
       122:{3,5}:{(106,1),(107,1)}
       123:{3,4,7}:{(106,1),(108,1),(134,1)}
       124:{1,2,4,5,7}:{(107,1),(108,1),(110,1),(112,1),(117,1),(134,1),(136,1),(137,1),(145,1)}
       125:{1,2,4,6,7}:{(108,1),(109,1),(111,1),(113,1),(135,1),(136,1),(137,1)}
       126:{1,4,6}:{(110,1),(114,1),(118,1),(138,1)}
       127:{1,5,7}:{(111,1),(115,1),(138,1)}
       128:{2,4,6}:{(112,1),(114,1),(119,1),(139,1)}
       129:{2,5,7}:{(113,1),(115,1),(139,1)}
       130:{3,5,6}:{(114,1),(115,1),(138,1),(139,1),(140,1)}
       131:{4,5,7}:{(115,1),(116,1),(140,1)}
       132:{1,2,6}:{(117,1),(118,1),(119,1)}
       133:{4,6}:{(120,1),(121,1)}
       134:{3,5,7}:{(122,1),(123,1),(124,1),(141,1)}
       135:{3,4,6,7}:{(123,1),(125,1),(141,1),(142,1),(146,1)}
       136:{1,2,4,6}:{(124,1),(126,1),(128,1),(132,1),(141,1),(143,1),(146,1)}
       137:{1,2,5,7}:{(125,1),(127,1),(129,1),(142,1),(143,1)}
       138:{1,5,6}:{(126,1),(127,1),(130,1)}
       139:{2,5,6}:{(128,1),(129,1),(130,1)}
       140:{4,5,6}:{(130,1),(131,1),(133,1),(146,1)}
       141:{3,6}:{(134,1),(136,1)}
       142:{3,5,7}:{(135,1),(137,1),(144,1),(145,1)}
       143:{1,2,5,6}:{(136,1),(137,1),(138,1),(139,1),(144,1)}
       144:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       145:{4,5,7}:{(142,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

1775 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(20,1),(51,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(32,1),(66,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(46,1),(81,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(18,1),(23,1),(45,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(19,1),(23,1),(44,1),(83,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(61,1),(101,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(60,1),(100,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(30,1),(31,1),(103,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(43,1),(81,1),(154,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(21,1),(23,1),(39,1),(46,1)}
        13:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(23,1),(37,1),(46,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(23,1),(122,1)}
        15:{1,2,3,5,6,7}:{(8,1),(23,1),(24,1),(44,1),(45,1),(47,1),(50,1),(74,1),(82,1),(83,1),(84,1),(125,1),(157,1),(169,1),(171,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(27,1),(101,1),(162,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(28,1),(100,1),(158,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(27,1),(30,1),(32,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(28,1),(31,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(29,1),(30,1),(31,1),(32,1),(60,1),(61,1)}
        21:{1,2,4,6,7}:{(12,1),(30,1),(33,1),(54,1),(60,1)}
        22:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(52,1),(61,1)}
        23:{3,6,7}:{(14,1),(32,1),(142,1)}
        24:{1,2,4,6,7}:{(15,1),(35,1),(36,1),(60,1),(61,1),(94,1),(100,1),(101,1),(173,1),(174,1)}
        25:{2,3,4,5,7}:{(19,1),(37,1),(38,1),(46,1),(77,1),(79,1),(108,1),(121,1),(144,1)}
        26:{1,3,4,5,7}:{(18,1),(39,1),(40,1),(46,1),(77,1),(80,1),(113,1),(121,1),(149,1)}
        27:{1,3,5,6}:{(16,1),(18,1),(39,1),(41,1),(43,1),(149,1)}
        28:{2,3,5,6}:{(17,1),(19,1),(37,1),(42,1),(43,1),(144,1)}
        29:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(41,1),(42,1),(43,1),(75,1),(76,1),(117,1),(122,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(41,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(42,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(43,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(71,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(68,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(50,1),(81,1),(116,1),(157,1),(172,1)}
        36:{1,2,4,5,7}:{(24,1),(50,1),(51,1),(79,1),(80,1),(82,1),(117,1)}
        37:{2,3,4,6}:{(25,1),(28,1),(52,1),(58,1),(100,1),(142,1)}
        38:{1,2,4,5,7}:{(25,1),(31,1),(52,1),(53,1),(61,1),(88,1),(96,1),(127,1)}
        39:{1,3,4,6}:{(26,1),(27,1),(54,1),(58,1),(101,1),(142,1)}
        40:{1,2,4,5,7}:{(26,1),(30,1),(54,1),(55,1),(60,1),(92,1),(95,1),(133,1)}
        41:{1,2,5,6}:{(27,1),(30,1),(54,1),(56,1),(133,1)}
        42:{1,2,5,6}:{(28,1),(31,1),(52,1),(57,1),(127,1)}
        43:{3,5,6}:{(29,1),(32,1),(58,1),(138,1),(142,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(56,1),(60,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(57,1),(61,1)}
        46:{3,4,7}:{(32,1),(58,1),(60,1),(61,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(59,1),(63,1),(86,1),(90,1),(142,1),(161,1),(165,1)}
        48:{2,3,4,6,7}:{(33,1),(35,1),(60,1),(63,1),(64,1),(91,1),(98,1),(100,1),(126,1),(142,1),(161,1),(173,1)}
        49:{1,3,4,6,7}:{(34,1),(35,1),(61,1),(63,1),(65,1),(87,1),(98,1),(101,1),(132,1),(142,1),(165,1),(174,1)}
        50:{3,5,7}:{(35,1),(36,1),(66,1),(138,1)}
        51:{1,2,4,5,6}:{(36,1),(66,1),(100,1),(101,1),(103,1)}
        52:{1,2,4,6}:{(37,1),(38,1),(42,1),(68,1),(76,1)}
        53:{1,3,5,7}:{(38,1),(68,1),(70,1),(107,1),(121,1)}
        54:{1,2,4,6}:{(39,1),(40,1),(41,1),(71,1),(75,1)}
        55:{2,3,5,7}:{(40,1),(71,1),(73,1),(112,1),(121,1)}
        56:{2,3,5,6}:{(41,1),(43,1),(44,1),(71,1),(75,1),(112,1)}
        57:{1,3,5,6}:{(42,1),(43,1),(45,1),(68,1),(76,1),(107,1)}
        58:{3,4,6}:{(43,1),(46,1),(75,1),(76,1),(77,1)}
        59:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(74,1),(78,1),(82,1),(121,1),(169,1),(171,1)}
        60:{2,4,7}:{(44,1),(46,1),(75,1)}
        61:{1,4,7}:{(45,1),(46,1),(76,1)}
        62:{3,4,5,7}:{(46,1),(50,1),(77,1),(79,1),(80,1),(81,1),(121,1),(154,1),(172,1)}
        63:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(78,1),(82,1),(106,1),(111,1),(122,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(79,1),(82,1),(83,1),(112,1),(121,1),(144,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(80,1),(82,1),(84,1),(107,1),(121,1),(149,1)}
        66:{3,5,6}:{(50,1),(51,1),(81,1)}
        67:{1,2,4,5,6,7}:{(51,1),(85,1),(123,1),(124,1),(125,1),(156,1)}
        68:{1,3,6}:{(52,1),(53,1),(142,1)}
        69:{1,2,3,5,7}:{(53,1),(86,1),(88,1),(127,1),(129,1)}
        70:{1,3,4,7}:{(53,1),(61,1),(87,1),(88,1),(98,1)}
        71:{2,3,6}:{(54,1),(55,1),(142,1)}
        72:{1,2,3,5,7}:{(55,1),(90,1),(92,1),(133,1),(135,1)}
        73:{2,3,4,7}:{(55,1),(60,1),(91,1),(92,1),(98,1)}
        74:{1,2,3,5,6}:{(56,1),(57,1),(59,1),(86,1),(90,1),(94,1),(103,1),(127,1),(133,1),(138,1),(142,1),(159,1),(163,1)}
        75:{2,4,6}:{(56,1),(58,1),(60,1),(95,1)}
        76:{1,4,6}:{(57,1),(58,1),(61,1),(96,1)}
        77:{3,4,5}:{(58,1),(95,1),(96,1),(138,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(61,1),(94,1),(98,1),(173,1),(174,1)}
        79:{2,4,5,7}:{(60,1),(62,1),(64,1),(95,1),(100,1),(158,1),(173,1)}
        80:{1,4,5,7}:{(61,1),(62,1),(65,1),(96,1),(101,1),(162,1),(174,1)}
        81:{3,4,6}:{(62,1),(66,1),(100,1),(101,1),(142,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(65,1),(103,1),(127,1),(133,1)}
        83:{2,3,5,6}:{(64,1),(66,1),(100,1),(103,1),(142,1)}
        84:{1,3,5,6}:{(65,1),(66,1),(101,1),(103,1),(142,1)}
        85:{3,5,6,7}:{(66,1),(67,1),(102,1),(167,1)}
        86:{1,2,3,6}:{(68,1),(69,1),(106,1),(147,1)}
        87:{1,3,4,6}:{(68,1),(70,1),(76,1),(106,1),(107,1),(116,1)}
        88:{1,2,4,7}:{(69,1),(70,1),(106,1),(108,1)}
        89:{1,3,4,5,7}:{(70,1),(80,1),(107,1),(109,1),(110,1),(121,1),(146,1),(154,1),(172,1)}
        90:{1,2,3,6}:{(71,1),(72,1),(111,1),(152,1)}
        91:{2,3,4,6}:{(71,1),(73,1),(75,1),(111,1),(112,1),(116,1)}
        92:{1,2,4,7}:{(72,1),(73,1),(111,1),(113,1)}
        93:{2,3,4,5,7}:{(73,1),(79,1),(112,1),(114,1),(115,1),(121,1),(151,1),(154,1),(172,1)}
        94:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(116,1),(117,1),(168,1),(170,1)}
        95:{2,4,5}:{(75,1),(77,1),(112,1)}
        96:{1,4,5}:{(76,1),(77,1),(107,1)}
        97:{3,4,5,6}:{(77,1),(81,1),(118,1),(119,1),(120,1),(155,1)}
        98:{3,4,7}:{(78,1),(116,1),(121,1)}
        99:{1,2,4,5,7}:{(78,1),(79,1),(80,1),(82,1),(117,1),(121,1),(122,1)}
       100:{2,4,6}:{(79,1),(81,1),(83,1)}
       101:{1,4,6}:{(80,1),(81,1),(84,1)}
       102:{3,4,6,7}:{(81,1),(85,1),(120,1),(123,1),(124,1),(157,1),(172,1)}
       103:{1,2,5,6}:{(82,1),(83,1),(84,1),(122,1)}
       104:{2,3,5,6,7}:{(83,1),(85,1),(123,1),(125,1),(151,1),(157,1),(169,1)}
       105:{1,3,5,6,7}:{(84,1),(85,1),(124,1),(125,1),(146,1),(157,1),(171,1)}
       106:{1,2,4,6}:{(86,1),(87,1),(88,1),(126,1),(127,1)}
       107:{1,3,5}:{(87,1),(96,1),(127,1),(138,1)}
       108:{2,3,4,7}:{(88,1),(98,1),(126,1),(129,1),(173,1)}
       109:{1,2,4,5,7}:{(88,1),(89,1),(127,1),(129,1),(130,1),(158,1),(160,1),(173,1)}
       110:{1,3,4,6}:{(89,1),(101,1),(128,1),(130,1),(142,1),(166,1)}
       111:{1,2,4,6}:{(90,1),(91,1),(92,1),(132,1),(133,1)}
       112:{2,3,5}:{(91,1),(95,1),(133,1),(138,1)}
       113:{1,3,4,7}:{(92,1),(98,1),(132,1),(135,1),(174,1)}
       114:{1,2,4,5,7}:{(92,1),(93,1),(133,1),(135,1),(136,1),(162,1),(164,1),(174,1)}
       115:{2,3,4,6}:{(93,1),(100,1),(134,1),(136,1),(142,1),(166,1)}
       116:{3,4,6}:{(94,1),(98,1),(138,1),(142,1)}
       117:{1,2,4,5}:{(94,1),(95,1),(96,1),(127,1),(133,1),(138,1),(158,1),(162,1)}
       118:{2,4,5,6}:{(95,1),(97,1),(100,1),(134,1),(140,1)}
       119:{1,4,5,6}:{(96,1),(97,1),(101,1),(128,1),(141,1)}
       120:{3,4,5,7}:{(97,1),(102,1),(140,1),(141,1),(167,1)}
       121:{3,5,7}:{(98,1),(99,1),(138,1),(142,1)}
       122:{1,2,4,6}:{(99,1),(100,1),(101,1),(103,1),(142,1)}
       123:{2,4,6,7}:{(100,1),(102,1),(104,1),(140,1),(173,1)}
       124:{1,4,6,7}:{(101,1),(102,1),(105,1),(141,1),(174,1)}
       125:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(143,1),(160,1),(164,1)}
       126:{2,3,4,6}:{(106,1),(108,1),(116,1),(144,1),(147,1),(168,1)}
       127:{1,2,5}:{(106,1),(107,1),(144,1)}
       128:{1,3,5,6}:{(107,1),(110,1),(119,1),(145,1),(146,1),(155,1)}
       129:{2,3,5,7}:{(108,1),(109,1),(121,1),(144,1),(147,1)}
       130:{1,2,4,6}:{(109,1),(110,1),(145,1),(147,1),(168,1)}
       131:{1,3,4,6,7}:{(110,1),(124,1),(146,1),(148,1),(157,1),(172,1)}
       132:{1,3,4,6}:{(111,1),(113,1),(116,1),(149,1),(152,1),(170,1)}
       133:{1,2,5}:{(111,1),(112,1),(149,1)}
       134:{2,3,5,6}:{(112,1),(115,1),(118,1),(150,1),(151,1),(155,1)}
       135:{1,3,5,7}:{(113,1),(114,1),(121,1),(149,1),(152,1)}
       136:{1,2,4,6}:{(114,1),(115,1),(150,1),(152,1),(170,1)}
       137:{2,3,4,6,7}:{(115,1),(123,1),(151,1),(153,1),(157,1),(172,1)}
       138:{3,5}:{(116,1),(117,1)}
       139:{1,2,4,5,6}:{(117,1),(118,1),(119,1),(122,1),(145,1),(150,1),(155,1),(156,1),(168,1),(170,1)}
       140:{2,4,5,7}:{(118,1),(120,1),(123,1),(151,1)}
       141:{1,4,5,7}:{(119,1),(120,1),(124,1),(146,1)}
       142:{3,6}:{(121,1),(122,1)}
       143:{1,2,4,6,7}:{(122,1),(123,1),(124,1),(125,1),(156,1),(157,1)}
       144:{2,3,5}:{(126,1),(127,1),(138,1),(158,1)}
       145:{1,2,5,6}:{(127,1),(128,1),(130,1),(159,1),(160,1)}
       146:{1,3,5,7}:{(128,1),(131,1),(141,1),(160,1),(167,1)}
       147:{2,3,6}:{(129,1),(130,1),(142,1)}
       148:{1,2,4,6,7}:{(130,1),(131,1),(160,1),(161,1),(173,1)}
       149:{1,3,5}:{(132,1),(133,1),(138,1),(162,1)}
       150:{1,2,5,6}:{(133,1),(134,1),(136,1),(163,1),(164,1)}
       151:{2,3,5,7}:{(134,1),(137,1),(140,1),(164,1),(167,1)}
       152:{1,3,6}:{(135,1),(136,1),(142,1)}
       153:{1,2,4,6,7}:{(136,1),(137,1),(164,1),(165,1),(174,1)}
       154:{3,4,5}:{(138,1),(158,1),(162,1),(166,1)}
       155:{3,5,6}:{(138,1),(139,1),(142,1),(166,1),(167,1)}
       156:{1,2,4,5,7}:{(139,1),(140,1),(141,1),(143,1),(160,1),(164,1),(167,1),(173,1),(174,1)}
       157:{3,6,7}:{(142,1),(143,1),(167,1)}
       158:{2,4,5}:{(144,1),(154,1),(168,1)}
       159:{2,3,5,6}:{(144,1),(145,1),(147,1),(155,1),(168,1),(169,1)}
       160:{1,2,5,7}:{(145,1),(146,1),(148,1),(169,1)}
       161:{2,3,6,7}:{(147,1),(148,1),(157,1),(169,1)}
       162:{1,4,5}:{(149,1),(154,1),(170,1)}
       163:{1,3,5,6}:{(149,1),(150,1),(152,1),(155,1),(170,1),(171,1)}
       164:{1,2,5,7}:{(150,1),(151,1),(153,1),(171,1)}
       165:{1,3,6,7}:{(152,1),(153,1),(157,1),(171,1)}
       166:{3,4,6}:{(154,1),(155,1),(168,1),(170,1),(172,1)}
       167:{3,5,7}:{(155,1),(156,1),(157,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(166,1),(173,1)}
       169:{2,3,5,7}:{(159,1),(160,1),(161,1),(167,1),(173,1)}
       170:{1,4,6}:{(162,1),(163,1),(166,1),(174,1)}
       171:{1,3,5,7}:{(163,1),(164,1),(165,1),(167,1),(174,1)}
       172:{3,4,7}:{(166,1),(167,1),(173,1),(174,1)}
       173:{2,4,7}:{(168,1),(169,1),(172,1)}
       174:{1,4,7}:{(170,1),(171,1),(172,1)}

1776 :   0:{3,4,5,6,7}:{(1,1),(2,1),(10,1),(88,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(96,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(98,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(10,1),(84,1)}
         4:{2,3,5,6,7}:{(2,1),(7,1),(9,1),(10,1),(86,1)}
         5:{1,2,4,5,6,7}:{(1,1),(2,1),(8,1),(9,1),(10,1),(27,1),(28,1),(55,1)}
         6:{1,3,4,6,7}:{(3,1),(13,1),(15,1),(19,1)}
         7:{2,3,4,6,7}:{(4,1),(14,1),(16,1),(19,1)}
         8:{1,2,5,6,7}:{(3,1),(15,1),(17,1),(67,1)}
         9:{1,2,5,6,7}:{(4,1),(16,1),(18,1),(70,1)}
        10:{3,5,6,7}:{(5,1),(19,1),(72,1)}
        11:{1,3,4,5,6}:{(13,1),(20,1),(41,1),(74,1),(97,1)}
        12:{2,3,4,5,6}:{(14,1),(21,1),(41,1),(76,1),(99,1)}
        13:{1,3,4,5,7}:{(6,1),(11,1),(22,1),(29,1),(78,1),(84,1)}
        14:{2,3,4,5,7}:{(7,1),(12,1),(23,1),(29,1),(81,1),(86,1)}
        15:{1,2,4,6,7}:{(6,1),(8,1),(22,1),(24,1),(27,1)}
        16:{1,2,4,6,7}:{(7,1),(9,1),(23,1),(25,1),(28,1)}
        17:{2,3,5,6,7}:{(8,1),(10,1),(24,1),(27,1),(51,1)}
        18:{1,3,5,6,7}:{(9,1),(10,1),(25,1),(28,1),(53,1)}
        19:{3,4,6,7}:{(10,1),(27,1),(28,1),(29,1)}
        20:{1,2,4,5,6}:{(11,1),(22,1),(30,1),(56,1),(58,1),(85,1)}
        21:{1,2,4,5,6}:{(12,1),(23,1),(31,1),(57,1),(60,1),(87,1)}
        22:{1,2,4,5,7}:{(13,1),(15,1),(20,1),(32,1),(39,1),(62,1),(67,1)}
        23:{1,2,4,5,7}:{(14,1),(16,1),(21,1),(33,1),(40,1),(64,1),(70,1)}
        24:{2,3,6,7}:{(15,1),(32,1)}
        25:{1,3,6,7}:{(16,1),(33,1)}
        26:{1,2,3,5,6,7}:{(17,1),(18,1),(34,1),(36,1),(38,1),(67,1),(70,1),(72,1),(97,1),(99,1)}
        27:{2,4,6,7}:{(17,1),(19,1),(39,1)}
        28:{1,4,6,7}:{(18,1),(19,1),(40,1)}
        29:{3,4,5,7}:{(19,1),(39,1),(40,1),(41,1),(72,1)}
        30:{2,3,5,6}:{(20,1),(32,1),(43,1)}
        31:{1,3,5,6}:{(21,1),(33,1),(45,1)}
        32:{2,3,5,7}:{(22,1),(24,1),(30,1),(47,1)}
        33:{1,3,5,7}:{(23,1),(25,1),(31,1),(49,1)}
        34:{1,2,3,6,7}:{(24,1),(46,1),(50,1),(101,1)}
        35:{2,3,4,6,7}:{(24,1),(27,1),(47,1),(50,1),(51,1),(54,1),(80,1)}
        36:{1,2,3,6,7}:{(25,1),(48,1),(52,1),(102,1)}
        37:{1,3,4,6,7}:{(25,1),(28,1),(49,1),(52,1),(53,1),(54,1),(83,1)}
        38:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(54,1),(55,1),(103,1),(104,1)}
        39:{2,4,5,7}:{(27,1),(29,1),(51,1),(56,1)}
        40:{1,4,5,7}:{(28,1),(29,1),(53,1),(57,1)}
        41:{3,4,5,6}:{(29,1),(56,1),(57,1),(89,1)}
        42:{1,2,3,5,6}:{(30,1),(46,1),(58,1),(85,1),(90,1),(101,1)}
        43:{2,3,4,6}:{(30,1),(47,1),(58,1),(59,1)}
        44:{1,2,3,5,6}:{(31,1),(48,1),(60,1),(87,1),(91,1),(102,1)}
        45:{1,3,4,6}:{(31,1),(49,1),(60,1),(61,1)}
        46:{1,2,3,5,7}:{(32,1),(34,1),(42,1),(62,1),(67,1),(92,1)}
        47:{2,3,4,7}:{(32,1),(43,1),(62,1)}
        48:{1,2,3,5,7}:{(33,1),(36,1),(44,1),(64,1),(70,1),(94,1)}
        49:{1,3,4,7}:{(33,1),(45,1),(64,1)}
        50:{1,2,4,6,7}:{(34,1),(35,1),(62,1),(66,1),(67,1),(93,1)}
        51:{2,3,5,7}:{(35,1),(39,1),(67,1),(68,1),(72,1)}
        52:{1,2,4,6,7}:{(36,1),(37,1),(64,1),(69,1),(70,1),(95,1)}
        53:{1,3,5,7}:{(37,1),(40,1),(70,1),(71,1),(72,1)}
        54:{3,4,6,7}:{(38,1),(72,1),(100,1)}
        55:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(67,1),(70,1),(72,1),(73,1),(96,1),(98,1)}
        56:{2,4,5,6}:{(39,1),(41,1),(68,1)}
        57:{1,4,5,6}:{(40,1),(41,1),(71,1)}
        58:{1,2,4,6}:{(42,1),(43,1),(62,1),(74,1),(75,1)}
        59:{2,3,4,5}:{(43,1),(75,1)}
        60:{1,2,4,6}:{(44,1),(45,1),(64,1),(76,1),(77,1)}
        61:{1,3,4,5}:{(45,1),(77,1)}
        62:{1,2,4,7}:{(46,1),(47,1),(58,1),(78,1)}
        63:{2,3,4,5,7}:{(47,1),(51,1),(59,1),(79,1),(80,1),(88,1)}
        64:{1,2,4,7}:{(48,1),(49,1),(60,1),(81,1)}
        65:{1,3,4,5,7}:{(49,1),(53,1),(61,1),(82,1),(83,1),(88,1)}
        66:{1,3,4,6,7}:{(50,1),(54,1),(78,1),(84,1),(101,1),(103,1)}
        67:{1,2,5,7}:{(50,1),(51,1),(84,1),(85,1)}
        68:{2,3,5,6}:{(51,1),(56,1),(80,1),(85,1),(89,1)}
        69:{2,3,4,6,7}:{(52,1),(54,1),(81,1),(86,1),(102,1),(104,1)}
        70:{1,2,5,7}:{(52,1),(53,1),(86,1),(87,1)}
        71:{1,3,5,6}:{(53,1),(57,1),(83,1),(87,1),(89,1)}
        72:{3,5,7}:{(54,1),(55,1),(89,1)}
        73:{1,2,4,5,6}:{(55,1),(56,1),(57,1),(85,1),(87,1),(89,1),(103,1),(104,1)}
        74:{1,3,4,6}:{(58,1),(78,1),(90,1),(101,1)}
        75:{1,2,4,5}:{(58,1),(59,1),(90,1)}
        76:{2,3,4,6}:{(60,1),(81,1),(91,1),(102,1)}
        77:{1,2,4,5}:{(60,1),(61,1),(91,1)}
        78:{1,3,4,7}:{(62,1),(74,1),(92,1)}
        79:{1,2,4,5,7}:{(62,1),(63,1),(67,1),(75,1),(92,1),(93,1),(96,1)}
        80:{2,3,4,6}:{(63,1),(68,1),(93,1),(100,1)}
        81:{2,3,4,7}:{(64,1),(76,1),(94,1)}
        82:{1,2,4,5,7}:{(64,1),(65,1),(70,1),(77,1),(94,1),(95,1),(98,1)}
        83:{1,3,4,6}:{(65,1),(71,1),(95,1),(100,1)}
        84:{1,3,5,7}:{(66,1),(67,1),(72,1),(96,1),(97,1)}
        85:{1,2,5,6}:{(67,1),(68,1),(93,1),(97,1)}
        86:{2,3,5,7}:{(69,1),(70,1),(72,1),(98,1),(99,1)}
        87:{1,2,5,6}:{(70,1),(71,1),(95,1),(99,1)}
        88:{3,4,5,7}:{(72,1),(96,1),(98,1),(100,1)}
        89:{3,5,6}:{(72,1),(73,1),(100,1)}
        90:{1,3,5}:{(74,1),(75,1)}
        91:{2,3,5}:{(76,1),(77,1)}
        92:{1,3,5,7}:{(78,1),(79,1),(90,1),(101,1)}
        93:{1,2,4,6}:{(79,1),(80,1),(85,1),(101,1),(103,1)}
        94:{2,3,5,7}:{(81,1),(82,1),(91,1),(102,1)}
        95:{1,2,4,6}:{(82,1),(83,1),(87,1),(102,1),(104,1)}
        96:{1,4,5,7}:{(84,1),(88,1),(103,1)}
        97:{1,3,5,6}:{(84,1),(85,1),(89,1),(101,1),(103,1)}
        98:{2,4,5,7}:{(86,1),(88,1),(104,1)}
        99:{2,3,5,6}:{(86,1),(87,1),(89,1),(102,1),(104,1)}
       100:{3,4,6}:{(88,1),(89,1),(103,1),(104,1)}
       101:{1,3,6}:{(92,1),(93,1)}
       102:{2,3,6}:{(94,1),(95,1)}
       103:{1,4,6}:{(96,1),(97,1),(100,1)}
       104:{2,4,6}:{(98,1),(99,1),(100,1)}

1777 :   0:{1,2,3,6,7}:{(3,1),(4,1),(54,1),(55,1),(57,1),(88,1)}
         1:{1,2,3,5,6}:{(4,1),(5,1),(19,1),(20,1),(21,1),(23,1),(57,1),(60,1),(62,1),(88,1)}
         2:{1,2,4,5,6}:{(8,1),(9,1),(11,1),(32,1),(33,1),(37,1),(38,1),(63,1),(91,1),(92,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(10,1),(12,1),(38,1),(69,1),(70,1)}
         4:{1,2,3,5,7}:{(0,1),(1,1),(10,1),(12,1),(35,1),(36,1),(39,1),(76,1),(78,1)}
         5:{1,2,4,6}:{(1,1),(11,1),(12,1),(13,1),(32,1),(33,1)}
         6:{3,4,6,7}:{(3,1),(14,1),(24,1),(45,1),(57,1)}
         7:{1,2,5,6,7}:{(15,1),(17,1),(21,1),(84,1),(85,1)}
         8:{1,2,4,5,7}:{(2,1),(17,1),(18,1),(49,1),(51,1),(52,1),(56,1),(84,1),(85,1)}
         9:{3,5,6}:{(2,1),(16,1),(18,1),(23,1),(57,1)}
        10:{1,2,5,7}:{(3,1),(14,1),(21,1),(84,1),(85,1)}
        11:{1,2,4,5}:{(5,1),(23,1),(47,1),(48,1),(60,1)}
        12:{1,2,4,7}:{(4,1),(5,1),(24,1),(51,1),(52,1)}
        13:{3,4,6}:{(5,1),(23,1),(24,1),(57,1)}
        14:{3,5,7}:{(6,1),(10,1),(27,1),(28,1)}
        15:{3,5,6,7}:{(7,1),(27,1),(30,1),(34,1),(68,1)}
        16:{3,4,6}:{(9,1),(29,1),(31,1),(32,1),(33,1),(72,1)}
        17:{1,2,4,6,7}:{(7,1),(8,1),(30,1),(34,1),(38,1),(69,1),(70,1),(73,1)}
        18:{3,5,7}:{(8,1),(9,1),(31,1),(34,1)}
        19:{1,3,5,6}:{(9,1),(32,1),(35,1),(37,1),(40,1),(72,1),(74,1),(91,1),(105,1)}
        20:{2,3,5,6}:{(9,1),(33,1),(36,1),(37,1),(41,1),(72,1),(75,1),(92,1),(105,1)}
        21:{1,2,5,6}:{(10,1),(27,1),(38,1),(91,1),(92,1)}
        22:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(28,1),(38,1),(39,1),(65,1),(66,1),(76,1)}
        23:{3,5}:{(11,1),(13,1)}
        24:{3,4,7}:{(12,1),(13,1),(39,1)}
        25:{1,3,4,6}:{(13,1),(32,1),(40,1),(42,1),(44,1),(72,1),(74,1),(95,1),(106,1)}
        26:{2,3,4,6}:{(13,1),(33,1),(41,1),(43,1),(44,1),(72,1),(75,1),(95,1),(106,1)}
        27:{3,5,6}:{(14,1),(21,1),(45,1),(57,1)}
        28:{4,5,7}:{(14,1),(45,1)}
        29:{3,4,5}:{(16,1),(23,1),(47,1),(48,1),(83,1)}
        30:{4,6,7}:{(15,1),(45,1),(49,1)}
        31:{3,4,7}:{(16,1),(18,1),(51,1),(52,1),(87,1)}
        32:{1,4,6}:{(16,1),(19,1),(47,1),(51,1),(109,1)}
        33:{2,4,6}:{(16,1),(20,1),(48,1),(52,1),(109,1)}
        34:{3,6,7}:{(17,1),(18,1),(57,1)}
        35:{1,3,5,7}:{(18,1),(19,1),(51,1),(54,1),(56,1),(84,1),(87,1),(103,1)}
        36:{2,3,5,7}:{(18,1),(20,1),(52,1),(55,1),(56,1),(85,1),(87,1),(103,1)}
        37:{1,2,5,6}:{(19,1),(20,1),(53,1),(56,1),(60,1),(88,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(45,1),(57,1),(80,1),(81,1),(88,1)}
        39:{3,5,7}:{(22,1),(23,1),(24,1),(57,1)}
        40:{1,3,5}:{(23,1),(25,1),(47,1),(60,1),(83,1),(110,1)}
        41:{2,3,5}:{(23,1),(26,1),(48,1),(60,1),(83,1),(110,1)}
        42:{1,3,4,7}:{(24,1),(25,1),(51,1),(58,1),(61,1),(87,1),(102,1)}
        43:{2,3,4,7}:{(24,1),(26,1),(52,1),(59,1),(61,1),(87,1),(102,1)}
        44:{1,2,4,6}:{(25,1),(26,1),(60,1),(61,1),(62,1),(88,1),(90,1)}
        45:{4,6}:{(27,1),(28,1)}
        46:{3,4,5,7}:{(28,1),(29,1),(31,1),(39,1),(64,1),(65,1),(66,1),(68,1),(94,1),(107,1),(111,1)}
        47:{1,4,5}:{(29,1),(32,1),(40,1),(111,1)}
        48:{2,4,5}:{(29,1),(33,1),(41,1),(111,1)}
        49:{4,5,7}:{(30,1),(63,1),(68,1),(107,1)}
        50:{3,4,6,7}:{(30,1),(31,1),(34,1),(64,1),(68,1),(69,1),(70,1),(97,1),(107,1)}
        51:{1,4,7}:{(31,1),(32,1),(35,1),(107,1)}
        52:{2,4,7}:{(31,1),(33,1),(36,1),(107,1)}
        53:{1,2,4,6}:{(32,1),(33,1),(37,1),(67,1),(71,1),(72,1)}
        54:{1,3,6,7}:{(34,1),(35,1),(69,1),(73,1),(74,1),(97,1)}
        55:{2,3,6,7}:{(34,1),(36,1),(70,1),(73,1),(75,1),(97,1)}
        56:{1,2,5,7}:{(35,1),(36,1),(37,1),(71,1),(73,1)}
        57:{3,6}:{(38,1),(39,1)}
        58:{1,3,5,7}:{(39,1),(40,1),(42,1),(65,1),(74,1),(76,1),(94,1)}
        59:{2,3,5,7}:{(39,1),(41,1),(43,1),(66,1),(75,1),(76,1),(94,1)}
        60:{1,2,5}:{(40,1),(41,1),(44,1)}
        61:{1,2,4,7}:{(42,1),(43,1),(44,1),(76,1),(78,1)}
        62:{1,2,3,6}:{(44,1),(72,1),(77,1),(78,1)}
        63:{4,5,6}:{(45,1),(49,1),(79,1),(109,1)}
        64:{3,4,6}:{(45,1),(46,1),(57,1),(79,1),(80,1),(81,1),(101,1),(109,1)}
        65:{1,4,5,7}:{(46,1),(47,1),(51,1),(58,1),(80,1),(84,1)}
        66:{2,4,5,7}:{(46,1),(48,1),(52,1),(59,1),(81,1),(85,1)}
        67:{1,2,4,5}:{(47,1),(48,1),(53,1),(60,1),(83,1),(90,1)}
        68:{3,5,7}:{(49,1),(50,1),(79,1),(84,1),(85,1)}
        69:{1,4,6,7}:{(50,1),(51,1),(54,1),(80,1),(84,1)}
        70:{2,4,6,7}:{(50,1),(52,1),(55,1),(81,1),(85,1)}
        71:{1,2,4,7}:{(51,1),(52,1),(53,1),(56,1),(87,1)}
        72:{3,6}:{(53,1),(83,1),(87,1)}
        73:{1,2,6,7}:{(54,1),(55,1),(56,1),(88,1)}
        74:{1,3,6}:{(57,1),(58,1),(80,1),(88,1),(101,1)}
        75:{2,3,6}:{(57,1),(59,1),(81,1),(88,1),(101,1)}
        76:{1,2,5,7}:{(58,1),(59,1),(60,1),(61,1),(88,1)}
        77:{1,2,3,5}:{(60,1),(62,1),(83,1),(90,1)}
        78:{1,2,3,7}:{(61,1),(62,1),(87,1)}
        79:{3,5,6}:{(63,1),(64,1),(68,1),(91,1),(92,1)}
        80:{1,4,6}:{(64,1),(65,1),(74,1),(91,1)}
        81:{2,4,6}:{(64,1),(66,1),(75,1),(92,1)}
        82:{1,2,4,5,7}:{(65,1),(66,1),(67,1),(71,1),(76,1),(93,1),(94,1),(96,1),(99,1),(107,1),(108,1),(111,1)}
        83:{3,5}:{(67,1),(72,1),(95,1)}
        84:{1,5,7}:{(68,1),(69,1),(91,1)}
        85:{2,5,7}:{(68,1),(70,1),(92,1)}
        86:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(73,1),(93,1),(96,1),(97,1),(107,1)}
        87:{3,7}:{(71,1),(72,1)}
        88:{1,2,6}:{(74,1),(75,1),(76,1)}
        89:{1,2,3,5,7}:{(76,1),(77,1),(78,1),(94,1),(98,1),(99,1),(108,1)}
        90:{1,2,4}:{(77,1),(95,1)}
        91:{1,5,6}:{(79,1),(80,1),(84,1)}
        92:{2,5,6}:{(79,1),(81,1),(85,1)}
        93:{1,2,4,6}:{(80,1),(81,1),(82,1),(88,1),(100,1),(101,1),(109,1)}
        94:{3,5,7}:{(82,1),(83,1),(87,1),(101,1),(102,1),(110,1)}
        95:{3,4}:{(83,1),(90,1)}
        96:{1,2,5,7}:{(84,1),(85,1),(86,1),(100,1),(103,1)}
        97:{3,6,7}:{(86,1),(87,1),(101,1),(103,1)}
        98:{1,2,3,6}:{(88,1),(89,1),(101,1),(104,1)}
        99:{1,2,4,7}:{(89,1),(90,1),(102,1),(104,1)}
       100:{1,2,5,6}:{(91,1),(92,1),(93,1),(96,1),(105,1),(108,1)}
       101:{3,6}:{(93,1),(94,1)}
       102:{3,4,7}:{(94,1),(95,1),(99,1),(106,1),(107,1)}
       103:{3,5,7}:{(96,1),(97,1),(105,1),(107,1)}
       104:{1,2,4,6}:{(98,1),(99,1),(106,1),(108,1)}
       105:{3,5,6}:{(100,1),(101,1),(103,1),(109,1),(110,1)}
       106:{3,4,6}:{(101,1),(102,1),(104,1),(109,1),(110,1)}
       107:{4,7}:{(103,1),(109,1)}
       108:{1,2,5}:{(104,1),(110,1)}
       109:{4,6}:{(105,1),(107,1),(111,1)}
       110:{3,5}:{(106,1),(108,1),(111,1)}
       111:{4,5}:{(109,1),(110,1)}

1778 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(31,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(42,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(14,1),(34,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(7,1),(19,1),(38,1),(39,1),(42,1),(43,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(19,1)}
        7:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(47,1),(48,1)}
        8:{1,2,4,5,6}:{(5,1),(12,1),(14,1),(32,1),(33,1),(34,1)}
        9:{3,4,6}:{(5,1),(6,1),(14,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(29,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(30,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(19,1),(40,1),(41,1),(42,1)}
       13:{3,4,6,7}:{(7,1),(9,1),(19,1)}
       14:{3,5,6}:{(8,1),(9,1),(19,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(23,1),(25,1),(58,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(24,1),(25,1),(58,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(42,1),(57,1),(59,1)}
       18:{1,2,4,5,6,7}:{(12,1),(27,1),(47,1),(48,1),(49,1)}
       19:{3,5,7}:{(12,1),(13,1),(14,1)}
       20:{1,3,4,6,7}:{(13,1),(15,1),(29,1),(31,1),(47,1),(60,1),(61,1)}
       21:{2,3,4,6,7}:{(13,1),(16,1),(30,1),(31,1),(48,1),(60,1),(61,1)}
       22:{3,4,5,6}:{(14,1),(28,1),(32,1),(33,1),(52,1)}
       23:{1,3,5,6}:{(14,1),(15,1),(29,1),(32,1),(34,1),(52,1)}
       24:{2,3,5,6}:{(14,1),(16,1),(30,1),(33,1),(34,1),(52,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,5,6,7}:{(18,1),(19,1),(37,1)}
       28:{3,4,5,7}:{(19,1),(22,1),(37,1),(40,1),(41,1),(56,1)}
       29:{1,3,5,7}:{(19,1),(20,1),(23,1),(40,1),(42,1),(56,1)}
       30:{2,3,5,7}:{(19,1),(21,1),(24,1),(41,1),(42,1),(56,1)}
       31:{1,2,4,6,7}:{(20,1),(21,1),(25,1),(42,1),(43,1),(57,1)}
       32:{1,4,5,6}:{(22,1),(23,1),(40,1)}
       33:{2,4,5,6}:{(22,1),(24,1),(41,1)}
       34:{1,2,5,6}:{(23,1),(24,1),(25,1),(42,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(57,1)}
       37:{3,4,6,7}:{(27,1),(28,1),(47,1),(48,1),(60,1)}
       38:{1,3,5,6,7}:{(27,1),(29,1),(47,1),(49,1),(60,1)}
       39:{2,3,5,6,7}:{(27,1),(30,1),(48,1),(49,1),(60,1)}
       40:{1,4,5,7}:{(28,1),(29,1),(32,1),(47,1)}
       41:{2,4,5,7}:{(28,1),(30,1),(33,1),(48,1)}
       42:{1,2,5,7}:{(29,1),(30,1),(31,1),(34,1)}
       43:{1,2,3,6,7}:{(31,1),(35,1),(51,1),(60,1)}
       44:{1,2,4,5,6}:{(32,1),(33,1),(34,1),(50,1),(52,1),(53,1)}
       45:{1,2,3,5,6}:{(34,1),(35,1),(51,1),(52,1),(53,1),(54,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(40,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(41,1)}
       49:{1,2,5,6,7}:{(38,1),(39,1),(42,1),(55,1)}
       50:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(44,1),(55,1),(56,1),(57,1)}
       51:{1,2,3,5,7}:{(42,1),(43,1),(45,1),(56,1),(57,1)}
       52:{3,5,6}:{(44,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(45,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(50,1),(60,1)}
       56:{3,5,7}:{(50,1),(52,1),(60,1),(61,1)}
       57:{1,2,4,7}:{(51,1),(53,1),(61,1)}
       58:{3,4,6}:{(52,1),(53,1),(61,1),(62,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(58,1),(59,1)}

1779 :   0:{1,3,4,5,7}:{(2,1),(3,1),(15,1),(23,1),(68,1),(110,1),(114,1),(120,1),(167,1),(171,1)}
         1:{2,3,4,5,7}:{(4,1),(5,1),(17,1),(19,1),(64,1),(109,1),(115,1),(124,1),(167,1),(174,1)}
         2:{1,2,4,5,7}:{(0,1),(8,1),(9,1),(32,1),(37,1),(83,1),(90,1),(92,1)}
         3:{1,3,4,6}:{(0,1),(9,1),(10,1),(93,1),(144,1),(187,1),(191,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(35,1),(37,1),(87,1),(90,1),(96,1)}
         5:{2,3,4,6}:{(1,1),(12,1),(13,1),(97,1),(139,1),(187,1),(193,1)}
         6:{1,3,4,6,7}:{(3,1),(14,1),(15,1),(48,1),(101,1),(110,1),(160,1)}
         7:{2,3,4,6,7}:{(5,1),(16,1),(17,1),(50,1),(104,1),(115,1),(164,1)}
         8:{2,3,5,7}:{(2,1),(19,1),(20,1),(64,1),(167,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(20,1),(21,1),(65,1)}
        10:{1,3,5,6}:{(3,1),(15,1),(21,1),(22,1),(66,1),(68,1),(199,1)}
        11:{1,3,5,7}:{(4,1),(23,1),(24,1),(68,1),(167,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(24,1),(25,1),(69,1)}
        13:{2,3,5,6}:{(5,1),(17,1),(25,1),(26,1),(64,1),(70,1),(200,1)}
        14:{1,2,4,6,7}:{(6,1),(9,1),(31,1),(32,1),(83,1)}
        15:{1,3,5,7}:{(6,1),(10,1),(32,1),(33,1),(84,1),(184,1)}
        16:{1,2,4,6,7}:{(7,1),(12,1),(34,1),(35,1),(87,1)}
        17:{2,3,5,7}:{(7,1),(13,1),(35,1),(36,1),(88,1),(186,1)}
        18:{1,2,3,5,7}:{(8,1),(11,1),(37,1),(38,1),(90,1)}
        19:{2,3,4,7}:{(8,1),(37,1),(39,1),(83,1),(138,1)}
        20:{2,3,6}:{(8,1),(9,1),(187,1)}
        21:{1,2,5,6}:{(9,1),(10,1),(32,1),(40,1),(90,1)}
        22:{1,4,5,6}:{(10,1),(33,1),(42,1),(96,1),(144,1)}
        23:{1,3,4,7}:{(11,1),(37,1),(43,1),(87,1),(138,1)}
        24:{1,3,6}:{(11,1),(12,1),(187,1)}
        25:{1,2,5,6}:{(12,1),(13,1),(35,1),(44,1),(90,1)}
        26:{2,4,5,6}:{(13,1),(36,1),(46,1),(92,1),(139,1)}
        27:{1,3,5,6,7}:{(15,1),(47,1),(48,1),(51,1),(101,1),(113,1)}
        28:{2,3,5,6,7}:{(17,1),(49,1),(50,1),(52,1),(104,1),(108,1)}
        29:{1,4,5,6,7}:{(48,1),(51,1),(162,1)}
        30:{2,4,5,6,7}:{(50,1),(52,1),(158,1)}
        31:{2,3,6,7}:{(14,1),(20,1),(55,1),(101,1)}
        32:{1,2,5,7}:{(14,1),(15,1),(21,1),(55,1)}
        33:{1,4,5,7}:{(15,1),(22,1),(48,1),(57,1)}
        34:{1,3,6,7}:{(16,1),(24,1),(59,1),(104,1)}
        35:{1,2,5,7}:{(16,1),(17,1),(25,1),(59,1)}
        36:{2,4,5,7}:{(17,1),(26,1),(50,1),(61,1)}
        37:{1,2,4,7}:{(18,1),(19,1),(23,1),(62,1)}
        38:{1,2,3,6}:{(18,1),(20,1),(24,1),(62,1)}
        39:{2,3,4,6}:{(19,1),(20,1),(62,1),(64,1),(65,1),(119,1)}
        40:{2,3,5,6}:{(20,1),(21,1),(55,1),(64,1),(65,1),(66,1)}
        41:{1,2,4,5,6}:{(21,1),(22,1),(56,1),(65,1),(66,1),(67,1),(118,1),(121,1),(123,1),(158,1),(166,1),(199,1)}
        42:{3,4,5,6}:{(22,1),(57,1),(66,1),(67,1),(124,1),(173,1)}
        43:{1,3,4,6}:{(23,1),(24,1),(62,1),(68,1),(69,1),(119,1)}
        44:{1,3,5,6}:{(24,1),(25,1),(59,1),(68,1),(69,1),(70,1)}
        45:{1,2,4,5,6}:{(25,1),(26,1),(60,1),(69,1),(70,1),(71,1),(118,1),(126,1),(127,1),(162,1),(166,1),(200,1)}
        46:{3,4,5,6}:{(26,1),(61,1),(70,1),(71,1),(120,1),(170,1)}
        47:{1,2,5,6,7}:{(27,1),(32,1),(72,1),(73,1),(78,1),(136,1),(184,1)}
        48:{1,4,6,7}:{(27,1),(33,1),(74,1),(144,1)}
        49:{1,2,5,6,7}:{(28,1),(35,1),(75,1),(76,1),(79,1),(136,1),(186,1)}
        50:{2,4,6,7}:{(28,1),(36,1),(77,1),(139,1)}
        51:{3,5,6,7}:{(29,1),(74,1),(78,1),(185,1)}
        52:{3,5,6,7}:{(30,1),(77,1),(79,1),(183,1)}
        53:{1,2,3,6,7}:{(31,1),(34,1),(38,1),(80,1),(81,1),(130,1),(135,1),(187,1),(208,1)}
        54:{2,3,4,6,7}:{(31,1),(39,1),(80,1),(82,1),(83,1),(129,1),(138,1),(139,1),(187,1)}
        55:{2,3,5,7}:{(31,1),(32,1),(40,1),(83,1),(84,1)}
        56:{1,2,4,5,7}:{(32,1),(33,1),(41,1),(73,1),(83,1),(84,1),(85,1),(128,1),(141,1),(143,1),(184,1)}
        57:{3,4,5,7}:{(33,1),(42,1),(74,1),(84,1),(85,1)}
        58:{1,3,4,6,7}:{(34,1),(43,1),(80,1),(86,1),(87,1),(133,1),(138,1),(144,1),(187,1)}
        59:{1,3,5,7}:{(34,1),(35,1),(44,1),(87,1),(88,1)}
        60:{1,2,4,5,7}:{(35,1),(36,1),(45,1),(76,1),(87,1),(88,1),(89,1),(132,1),(147,1),(148,1),(186,1)}
        61:{3,4,5,7}:{(36,1),(46,1),(77,1),(88,1),(89,1)}
        62:{1,2,4,6}:{(37,1),(38,1),(39,1),(43,1),(90,1)}
        63:{1,2,3,5,6}:{(38,1),(40,1),(44,1),(81,1),(90,1),(91,1),(94,1),(99,1),(136,1),(149,1),(187,1),(195,1),(196,1),(208,1)}
        64:{2,3,5}:{(39,1),(90,1),(92,1),(149,1)}
        65:{2,4,6}:{(40,1),(83,1),(92,1),(93,1)}
        66:{3,5,6}:{(41,1),(84,1),(93,1),(149,1),(187,1)}
        67:{2,4,5,6}:{(42,1),(85,1),(95,1),(156,1),(193,1)}
        68:{1,3,5}:{(43,1),(90,1),(96,1),(149,1)}
        69:{1,4,6}:{(44,1),(87,1),(96,1),(97,1)}
        70:{3,5,6}:{(45,1),(88,1),(97,1),(149,1),(187,1)}
        71:{1,4,5,6}:{(46,1),(89,1),(98,1),(152,1),(191,1)}
        72:{2,3,5,6,7}:{(47,1),(55,1),(100,1),(101,1),(108,1),(159,1)}
        73:{1,2,4,6,7}:{(47,1),(48,1),(56,1),(100,1),(101,1),(102,1),(160,1),(161,1),(166,1)}
        74:{3,4,6,7}:{(48,1),(51,1),(57,1),(101,1),(102,1),(173,1)}
        75:{1,3,5,6,7}:{(49,1),(59,1),(103,1),(104,1),(113,1),(163,1)}
        76:{1,2,4,6,7}:{(49,1),(50,1),(60,1),(103,1),(104,1),(105,1),(164,1),(165,1),(166,1)}
        77:{3,4,6,7}:{(50,1),(52,1),(61,1),(104,1),(105,1),(170,1)}
        78:{2,5,6,7}:{(51,1),(102,1),(200,1)}
        79:{1,5,6,7}:{(52,1),(105,1),(199,1)}
        80:{1,2,4,6,7}:{(53,1),(54,1),(58,1),(62,1),(106,1),(107,1),(160,1),(164,1),(166,1)}
        81:{1,2,3,5,7}:{(53,1),(55,1),(59,1),(63,1),(106,1),(107,1),(111,1),(117,1),(167,1),(203,1),(204,1)}
        82:{2,3,5,7}:{(54,1),(64,1),(106,1),(108,1),(109,1),(159,1),(167,1)}
        83:{2,4,7}:{(55,1),(65,1),(110,1)}
        84:{3,5,7}:{(56,1),(66,1),(101,1),(110,1)}
        85:{2,4,5,7}:{(57,1),(67,1),(102,1),(112,1)}
        86:{1,3,5,7}:{(58,1),(68,1),(106,1),(113,1),(114,1),(163,1),(167,1)}
        87:{1,4,7}:{(59,1),(69,1),(115,1)}
        88:{3,5,7}:{(60,1),(70,1),(104,1),(115,1)}
        89:{1,4,5,7}:{(61,1),(71,1),(105,1),(116,1)}
        90:{1,2,5}:{(62,1),(64,1),(68,1)}
        91:{1,2,4,6}:{(63,1),(65,1),(69,1),(107,1),(118,1),(119,1),(121,1),(126,1)}
        92:{2,4,5}:{(64,1),(65,1),(120,1)}
        93:{3,4,6}:{(65,1),(66,1),(110,1),(120,1),(121,1)}
        94:{1,3,5,6}:{(66,1),(111,1),(121,1),(123,1),(176,1),(180,1),(199,1),(201,1)}
        95:{2,3,5,6}:{(66,1),(67,1),(112,1),(122,1),(123,1),(177,1),(202,1)}
        96:{1,4,5}:{(68,1),(69,1),(124,1)}
        97:{3,4,6}:{(69,1),(70,1),(115,1),(124,1),(126,1)}
        98:{1,3,5,6}:{(70,1),(71,1),(116,1),(125,1),(127,1),(176,1),(201,1)}
        99:{2,3,5,6}:{(70,1),(117,1),(126,1),(127,1),(177,1),(182,1),(200,1),(202,1)}
       100:{2,4,6,7}:{(72,1),(83,1),(128,1),(129,1),(139,1)}
       101:{3,6,7}:{(73,1),(84,1),(187,1)}
       102:{2,4,6,7}:{(74,1),(78,1),(85,1),(131,1),(193,1)}
       103:{1,4,6,7}:{(75,1),(87,1),(132,1),(133,1),(144,1)}
       104:{3,6,7}:{(76,1),(88,1),(187,1)}
       105:{1,4,6,7}:{(77,1),(79,1),(89,1),(134,1),(191,1)}
       106:{1,2,5,7}:{(80,1),(82,1),(86,1),(90,1),(136,1),(184,1),(186,1)}
       107:{1,2,4,7}:{(81,1),(83,1),(87,1),(91,1),(138,1),(141,1),(147,1)}
       108:{2,3,5,6}:{(82,1),(136,1),(139,1),(183,1),(187,1)}
       109:{2,4,5,7}:{(82,1),(83,1),(92,1),(139,1),(140,1)}
       110:{3,4,7}:{(83,1),(84,1),(93,1),(141,1)}
       111:{1,3,5,7}:{(84,1),(94,1),(130,1),(141,1),(143,1),(184,1),(192,1)}
       112:{2,3,5,7}:{(84,1),(85,1),(95,1),(131,1),(142,1),(143,1)}
       113:{1,3,5,6}:{(86,1),(136,1),(144,1),(185,1),(187,1)}
       114:{1,4,5,7}:{(86,1),(87,1),(96,1),(144,1),(145,1)}
       115:{3,4,7}:{(87,1),(88,1),(97,1),(147,1)}
       116:{1,3,5,7}:{(88,1),(89,1),(98,1),(134,1),(146,1),(148,1)}
       117:{2,3,5,7}:{(88,1),(99,1),(135,1),(147,1),(148,1),(186,1),(194,1)}
       118:{1,2,4,5}:{(90,1),(91,1),(92,1),(96,1),(149,1),(152,1),(156,1),(195,1)}
       119:{3,4,6}:{(91,1),(138,1),(149,1),(187,1)}
       120:{3,4,5}:{(92,1),(93,1),(149,1),(152,1)}
       121:{1,4,6}:{(93,1),(94,1),(141,1),(152,1)}
       122:{2,3,4,6}:{(93,1),(95,1),(142,1),(153,1),(154,1)}
       123:{1,2,5,6}:{(94,1),(95,1),(143,1),(154,1),(195,1),(208,1)}
       124:{3,4,5}:{(96,1),(97,1),(149,1),(156,1)}
       125:{1,3,4,6}:{(97,1),(98,1),(146,1),(155,1),(157,1)}
       126:{2,4,6}:{(97,1),(99,1),(147,1),(156,1)}
       127:{1,2,5,6}:{(98,1),(99,1),(148,1),(157,1),(195,1),(208,1)}
       128:{2,4,5,7}:{(100,1),(158,1),(159,1)}
       129:{3,4,6,7}:{(100,1),(101,1),(110,1),(159,1),(160,1),(170,1)}
       130:{1,3,6,7}:{(101,1),(111,1),(160,1),(161,1),(201,1)}
       131:{2,3,6,7}:{(101,1),(102,1),(112,1),(161,1),(202,1)}
       132:{1,4,5,7}:{(103,1),(162,1),(163,1)}
       133:{3,4,6,7}:{(103,1),(104,1),(115,1),(163,1),(164,1),(173,1)}
       134:{1,3,6,7}:{(104,1),(105,1),(116,1),(165,1),(201,1)}
       135:{2,3,6,7}:{(104,1),(117,1),(164,1),(165,1),(202,1)}
       136:{1,2,5,6}:{(106,1),(108,1),(113,1),(166,1),(199,1),(200,1)}
       137:{1,2,4,5,7}:{(106,1),(107,1),(109,1),(114,1),(118,1),(166,1),(167,1),(171,1),(174,1),(203,1)}
       138:{3,4,7}:{(107,1),(119,1),(167,1)}
       139:{2,4,6}:{(108,1),(109,1),(170,1)}
       140:{3,4,5,7}:{(109,1),(110,1),(120,1),(159,1),(167,1),(170,1),(171,1)}
       141:{1,4,7}:{(110,1),(111,1),(121,1)}
       142:{2,3,4,7}:{(110,1),(112,1),(122,1),(172,1)}
       143:{1,2,5,7}:{(111,1),(112,1),(123,1),(161,1),(172,1)}
       144:{1,4,6}:{(113,1),(114,1),(173,1)}
       145:{3,4,5,7}:{(114,1),(115,1),(124,1),(163,1),(167,1),(173,1),(174,1)}
       146:{1,3,4,7}:{(115,1),(116,1),(125,1),(175,1)}
       147:{2,4,7}:{(115,1),(117,1),(126,1)}
       148:{1,2,5,7}:{(116,1),(117,1),(127,1),(165,1),(175,1)}
       149:{3,5}:{(118,1),(119,1)}
       150:{1,3,4,6}:{(119,1),(121,1),(168,1),(176,1),(178,1),(180,1),(201,1),(206,1)}
       151:{2,3,4,6}:{(119,1),(126,1),(169,1),(177,1),(178,1),(182,1),(202,1),(207,1)}
       152:{1,4,5}:{(120,1),(121,1),(176,1)}
       153:{2,3,4,5}:{(120,1),(122,1),(177,1),(179,1),(207,1)}
       154:{1,2,4,6}:{(121,1),(122,1),(123,1),(172,1),(179,1),(180,1)}
       155:{1,3,4,5}:{(124,1),(125,1),(176,1),(181,1),(206,1)}
       156:{2,4,5}:{(124,1),(126,1),(177,1)}
       157:{1,2,4,6}:{(125,1),(126,1),(127,1),(175,1),(181,1),(182,1)}
       158:{2,4,5,6}:{(128,1),(139,1),(183,1)}
       159:{3,5,7}:{(128,1),(129,1),(183,1),(184,1)}
       160:{1,4,6,7}:{(129,1),(130,1),(141,1),(184,1),(191,1)}
       161:{1,2,6,7}:{(130,1),(131,1),(143,1),(208,1)}
       162:{1,4,5,6}:{(132,1),(144,1),(185,1)}
       163:{3,5,7}:{(132,1),(133,1),(185,1),(186,1)}
       164:{2,4,6,7}:{(133,1),(135,1),(147,1),(186,1),(193,1)}
       165:{1,2,6,7}:{(134,1),(135,1),(148,1),(208,1)}
       166:{1,2,4,6}:{(136,1),(137,1),(139,1),(144,1),(187,1),(191,1),(193,1),(208,1)}
       167:{3,5,7}:{(137,1),(138,1),(149,1),(187,1)}
       168:{1,3,4,7}:{(138,1),(141,1),(150,1),(188,1),(190,1),(192,1)}
       169:{2,3,4,7}:{(138,1),(147,1),(151,1),(189,1),(190,1),(194,1)}
       170:{3,4,6}:{(139,1),(140,1),(183,1),(187,1),(191,1)}
       171:{1,4,5,7}:{(140,1),(141,1),(152,1),(184,1),(188,1),(191,1)}
       172:{1,2,4,7}:{(141,1),(142,1),(143,1),(154,1),(192,1)}
       173:{3,4,6}:{(144,1),(145,1),(185,1),(187,1),(193,1)}
       174:{2,4,5,7}:{(145,1),(147,1),(156,1),(186,1),(189,1),(193,1)}
       175:{1,2,4,7}:{(146,1),(147,1),(148,1),(157,1),(194,1)}
       176:{1,3,5}:{(149,1),(150,1),(152,1),(195,1)}
       177:{2,3,5}:{(149,1),(151,1),(156,1),(195,1)}
       178:{1,2,4,6}:{(150,1),(151,1),(190,1),(195,1),(196,1),(208,1),(209,1)}
       179:{1,2,4,5}:{(152,1),(153,1),(154,1),(195,1),(197,1),(209,1)}
       180:{1,3,6}:{(154,1),(192,1),(197,1)}
       181:{1,2,4,5}:{(155,1),(156,1),(157,1),(195,1),(198,1),(209,1)}
       182:{2,3,6}:{(157,1),(194,1),(198,1)}
       183:{3,5,6}:{(158,1),(159,1),(170,1),(199,1)}
       184:{1,5,7}:{(159,1),(160,1),(199,1)}
       185:{3,5,6}:{(162,1),(163,1),(173,1),(200,1)}
       186:{2,5,7}:{(163,1),(164,1),(200,1)}
       187:{3,6}:{(166,1),(167,1)}
       188:{1,3,5,7}:{(167,1),(168,1),(171,1),(176,1),(201,1),(203,1)}
       189:{2,3,5,7}:{(167,1),(169,1),(174,1),(177,1),(202,1),(203,1)}
       190:{1,2,4,7}:{(168,1),(169,1),(178,1),(203,1),(204,1)}
       191:{1,4,6}:{(170,1),(171,1),(199,1),(201,1)}
       192:{1,3,7}:{(172,1),(180,1)}
       193:{2,4,6}:{(173,1),(174,1),(200,1),(202,1)}
       194:{2,3,7}:{(175,1),(182,1)}
       195:{1,2,5}:{(176,1),(177,1),(178,1)}
       196:{1,2,3,6}:{(178,1),(180,1),(182,1),(204,1),(205,1)}
       197:{1,3,5}:{(179,1),(180,1),(206,1)}
       198:{2,3,5}:{(181,1),(182,1),(207,1)}
       199:{1,5,6}:{(183,1),(184,1),(191,1)}
       200:{2,5,6}:{(185,1),(186,1),(193,1)}
       201:{1,3,6}:{(187,1),(188,1),(191,1),(208,1)}
       202:{2,3,6}:{(187,1),(189,1),(193,1),(208,1)}
       203:{1,2,5,7}:{(188,1),(189,1),(190,1),(195,1),(208,1)}
       204:{1,2,3,7}:{(190,1),(192,1),(194,1),(196,1)}
       205:{1,2,3,5}:{(195,1),(196,1),(197,1),(198,1),(209,1)}
       206:{1,3,4}:{(197,1),(209,1)}
       207:{2,3,4}:{(198,1),(209,1)}
       208:{1,2,6}:{(201,1),(202,1),(203,1)}
       209:{1,2,4}:{(205,1),(206,1),(207,1)}

1780 :   0:{1,2,3,4,6}:{(1,1),(2,1),(8,1),(9,1),(21,1),(52,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(17,1),(67,1)}
         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)}
         5:{1,2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(19,1),(27,1),(47,1),(52,1)}
         6:{3,4,5}:{(3,1),(15,1)}
         7:{1,2,4,5,7}:{(3,1),(4,1),(14,1),(16,1),(17,1),(41,1)}
         8:{1,2,4,6}:{(3,1),(5,1),(15,1),(17,1)}
         9:{1,2,3,6}:{(4,1),(16,1)}
        10:{1,2,3,5,7}:{(5,1),(17,1),(18,1),(33,1),(41,1),(63,1),(67,1)}
        11:{1,2,4,5,6}:{(8,1),(19,1),(20,1),(27,1),(42,1),(43,1),(47,1),(54,1)}
        12:{2,3,4,5}:{(6,1),(22,1),(23,1),(69,1)}
        13:{1,3,4,5}:{(6,1),(22,1),(24,1),(69,1)}
        14:{3,4,5,7}:{(6,1),(7,1),(25,1),(26,1),(55,1)}
        15:{3,4,6}:{(6,1),(8,1),(19,1),(26,1)}
        16:{1,2,4,6}:{(7,1),(9,1),(25,1),(27,1)}
        17:{1,2,4,7}:{(8,1),(10,1),(26,1)}
        18:{1,2,3,6,7}:{(9,1),(10,1),(28,1),(50,1),(79,1)}
        19:{3,5,6}:{(11,1),(15,1),(33,1)}
        20:{1,2,4,5,7}:{(11,1),(17,1),(33,1),(34,1),(41,1),(57,1),(58,1),(63,1),(68,1)}
        21:{1,2,3,4}:{(35,1)}
        22:{1,2,4,5}:{(12,1),(13,1),(35,1),(36,1)}
        23:{2,3,4,6}:{(12,1),(15,1),(31,1),(36,1),(37,1),(82,1)}
        24:{1,3,4,6}:{(13,1),(15,1),(32,1),(36,1),(38,1),(82,1)}
        25:{3,4,6}:{(14,1),(16,1),(39,1)}
        26:{3,4,7}:{(15,1),(17,1),(33,1)}
        27:{1,2,5,6}:{(16,1),(39,1),(41,1)}
        28:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(40,1),(41,1)}
        29:{3,4,5,6}:{(19,1),(42,1),(43,1),(44,1),(54,1),(70,1),(101,1)}
        30:{1,2,3,4,6}:{(21,1),(45,1),(46,1),(52,1),(76,1),(77,1)}
        31:{2,3,5,6}:{(19,1),(23,1),(42,1),(47,1),(48,1),(70,1)}
        32:{1,3,5,6}:{(19,1),(24,1),(43,1),(47,1),(49,1),(70,1)}
        33:{3,5,7}:{(19,1),(20,1),(26,1),(50,1)}
        34:{1,2,4,6,7}:{(20,1),(50,1),(51,1),(72,1),(73,1),(79,1),(80,1)}
        35:{1,2,3,5}:{(21,1),(22,1),(52,1)}
        36:{1,2,4,6}:{(22,1),(23,1),(24,1),(47,1),(52,1),(53,1)}
        37:{2,3,4,7}:{(23,1),(26,1),(48,1),(53,1),(92,1)}
        38:{1,3,4,7}:{(24,1),(26,1),(49,1),(53,1),(92,1)}
        39:{3,5,6}:{(25,1),(27,1),(54,1),(55,1)}
        40:{3,4,6,7}:{(25,1),(26,1),(28,1),(50,1),(55,1),(80,1)}
        41:{1,2,5,7}:{(27,1),(28,1),(55,1)}
        42:{2,4,5,6}:{(29,1),(31,1),(57,1)}
        43:{1,4,5,6}:{(29,1),(32,1),(58,1)}
        44:{3,4,5,7}:{(29,1),(33,1),(57,1),(58,1),(59,1),(68,1),(83,1),(104,1)}
        45:{1,2,3,4,7}:{(30,1),(61,1),(67,1),(89,1)}
        46:{1,2,3,5}:{(30,1),(60,1)}
        47:{1,2,5,6}:{(31,1),(32,1),(36,1),(63,1)}
        48:{2,3,5,7}:{(31,1),(33,1),(37,1),(57,1),(63,1),(64,1),(83,1)}
        49:{1,3,5,7}:{(32,1),(33,1),(38,1),(58,1),(63,1),(65,1),(83,1)}
        50:{3,6,7}:{(33,1),(34,1)}
        51:{1,2,5,6,7}:{(34,1),(41,1),(66,1),(85,1),(86,1)}
        52:{1,2,3,6}:{(35,1),(36,1),(67,1)}
        53:{1,2,4,7}:{(36,1),(37,1),(38,1),(63,1),(67,1)}
        54:{4,5,6}:{(39,1),(68,1)}
        55:{3,5,7}:{(39,1),(40,1),(41,1),(68,1)}
        56:{1,2,4,5,6}:{(42,1),(43,1),(47,1),(70,1),(71,1),(76,1),(95,1),(101,1)}
        57:{2,4,5,7}:{(42,1),(44,1),(48,1),(72,1)}
        58:{1,4,5,7}:{(43,1),(44,1),(49,1),(73,1)}
        59:{3,4,6,7}:{(44,1),(50,1),(72,1),(73,1),(74,1),(80,1),(93,1),(103,1)}
        60:{1,2,4,5}:{(46,1),(69,1),(76,1)}
        61:{1,2,3,5,7}:{(45,1),(46,1),(75,1),(77,1)}
        62:{1,2,3,5,6}:{(46,1),(47,1),(52,1),(70,1),(76,1),(77,1),(78,1),(95,1)}
        63:{1,2,5,7}:{(47,1),(48,1),(49,1),(53,1),(79,1)}
        64:{2,3,6,7}:{(48,1),(50,1),(72,1),(79,1),(93,1)}
        65:{1,3,6,7}:{(49,1),(50,1),(73,1),(79,1),(93,1)}
        66:{3,5,6,7}:{(50,1),(51,1),(55,1),(80,1)}
        67:{1,2,3,7}:{(52,1),(53,1)}
        68:{4,5,7}:{(54,1),(55,1),(80,1)}
        69:{3,4,5}:{(60,1),(82,1)}
        70:{3,5,6}:{(56,1),(82,1),(83,1)}
        71:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(63,1),(83,1),(84,1),(89,1),(100,1),(104,1)}
        72:{2,4,6,7}:{(57,1),(59,1),(64,1),(85,1)}
        73:{1,4,6,7}:{(58,1),(59,1),(65,1),(86,1)}
        74:{3,5,6,7}:{(59,1),(85,1),(86,1),(87,1)}
        75:{1,2,4,5,7}:{(60,1),(61,1),(81,1),(88,1),(89,1),(100,1)}
        76:{1,2,4,6}:{(60,1),(62,1),(82,1),(89,1)}
        77:{1,2,3,6}:{(61,1),(88,1)}
        78:{1,2,3,5,7}:{(62,1),(63,1),(67,1),(83,1),(89,1),(90,1),(100,1)}
        79:{1,2,6,7}:{(63,1),(64,1),(65,1)}
        80:{4,6,7}:{(66,1),(68,1)}
        81:{3,4,5,7}:{(69,1),(75,1),(91,1),(92,1),(102,1)}
        82:{3,4,6}:{(69,1),(70,1),(76,1),(92,1)}
        83:{3,5,7}:{(70,1),(71,1),(92,1),(93,1)}
        84:{1,2,4,6,7}:{(71,1),(72,1),(73,1),(79,1),(93,1),(94,1),(103,1)}
        85:{2,5,6,7}:{(72,1),(74,1)}
        86:{1,5,6,7}:{(73,1),(74,1)}
        87:{4,5,6,7}:{(74,1),(80,1),(103,1)}
        88:{1,2,4,6}:{(75,1),(77,1),(91,1),(95,1)}
        89:{1,2,4,7}:{(76,1),(78,1),(92,1)}
        90:{1,2,3,6,7}:{(77,1),(78,1),(79,1),(93,1),(96,1)}
        91:{3,4,6}:{(81,1),(88,1),(97,1)}
        92:{3,4,7}:{(82,1),(83,1),(89,1)}
        93:{3,6,7}:{(83,1),(84,1)}
        94:{1,2,5,6,7}:{(84,1),(85,1),(86,1),(99,1),(100,1)}
        95:{1,2,5,6}:{(88,1),(97,1),(100,1)}
        96:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(98,1),(100,1)}
        97:{3,5,6}:{(91,1),(95,1),(101,1),(102,1)}
        98:{3,4,6,7}:{(91,1),(92,1),(93,1),(96,1),(102,1),(103,1)}
        99:{3,5,6,7}:{(93,1),(94,1),(102,1),(103,1)}
       100:{1,2,5,7}:{(95,1),(96,1),(102,1)}
       101:{4,5,6}:{(97,1),(104,1)}
       102:{3,5,7}:{(97,1),(98,1),(100,1),(104,1)}
       103:{4,6,7}:{(99,1),(104,1)}
       104:{4,5,7}:{(101,1),(102,1),(103,1)}

1781 :   0:{1,2,3,4,7}:{(1,1),(2,1),(24,1),(70,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(15,1),(30,1),(57,1)}
         2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1)}
         3:{1,2,4,5,7}:{(2,1),(6,1),(7,1),(8,1),(20,1),(24,1)}
         4:{1,2,3,5}:{(1,1),(8,1)}
         5:{1,2,3,6}:{(2,1),(7,1)}
         6:{3,4,5,7}:{(3,1),(11,1),(14,1),(26,1),(34,1)}
         7:{1,2,4,6}:{(3,1),(5,1),(11,1),(12,1)}
         8:{1,2,4,5}:{(4,1),(14,1),(15,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(16,1),(28,1),(54,1),(57,1)}
        10:{1,2,3,6,7}:{(5,1),(13,1),(16,1),(52,1),(79,1)}
        11:{3,4,6}:{(6,1),(7,1),(17,1)}
        12:{1,2,5,6}:{(7,1),(17,1),(20,1)}
        13:{1,2,4,6,7}:{(7,1),(10,1),(18,1),(20,1),(24,1)}
        14:{3,4,5}:{(8,1),(23,1)}
        15:{1,2,4,6}:{(8,1),(9,1),(23,1),(24,1)}
        16:{1,2,3,5,7}:{(9,1),(10,1),(20,1),(24,1),(42,1),(69,1),(70,1)}
        17:{3,5,6}:{(11,1),(12,1),(25,1),(26,1)}
        18:{3,4,6,7}:{(11,1),(13,1),(26,1),(34,1),(47,1),(52,1)}
        19:{1,2,4,5,6}:{(12,1),(15,1),(25,1),(28,1),(29,1),(48,1),(49,1),(54,1)}
        20:{1,2,5,7}:{(12,1),(13,1),(26,1)}
        21:{2,3,4,5}:{(14,1),(31,1),(32,1),(74,1)}
        22:{1,3,4,5}:{(14,1),(31,1),(33,1),(74,1)}
        23:{3,4,6}:{(14,1),(15,1),(28,1),(34,1)}
        24:{1,2,4,7}:{(15,1),(16,1),(34,1)}
        25:{4,5,6}:{(17,1),(37,1)}
        26:{3,5,7}:{(17,1),(18,1),(20,1),(37,1)}
        27:{1,2,5,6,7}:{(20,1),(35,1),(38,1),(82,1),(83,1)}
        28:{3,5,6}:{(19,1),(23,1),(42,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(24,1),(37,1),(38,1),(42,1),(62,1),(63,1),(69,1)}
        30:{1,2,3,4}:{(43,1)}
        31:{1,2,4,5}:{(21,1),(22,1),(43,1),(44,1)}
        32:{2,3,4,6}:{(21,1),(23,1),(40,1),(44,1),(45,1),(86,1)}
        33:{1,3,4,6}:{(22,1),(23,1),(41,1),(44,1),(46,1),(86,1)}
        34:{3,4,7}:{(23,1),(24,1),(42,1)}
        35:{3,5,6,7}:{(26,1),(27,1),(47,1),(52,1)}
        36:{3,4,5,6}:{(25,1),(28,1),(48,1),(49,1),(50,1),(75,1),(101,1)}
        37:{4,5,7}:{(25,1),(26,1),(47,1)}
        38:{1,2,4,6,7}:{(27,1),(29,1),(47,1),(52,1),(72,1),(73,1),(79,1)}
        39:{1,2,3,4,6}:{(30,1),(51,1),(53,1),(57,1),(78,1),(80,1)}
        40:{2,3,5,6}:{(28,1),(32,1),(48,1),(54,1),(55,1),(75,1)}
        41:{1,3,5,6}:{(28,1),(33,1),(49,1),(54,1),(56,1),(75,1)}
        42:{3,5,7}:{(28,1),(29,1),(34,1),(52,1)}
        43:{1,2,3,5}:{(30,1),(31,1),(57,1)}
        44:{1,2,4,6}:{(31,1),(32,1),(33,1),(54,1),(57,1),(58,1)}
        45:{2,3,4,7}:{(32,1),(34,1),(55,1),(58,1),(94,1)}
        46:{1,3,4,7}:{(33,1),(34,1),(56,1),(58,1),(94,1)}
        47:{4,6,7}:{(35,1),(37,1)}
        48:{2,4,5,6}:{(36,1),(40,1),(62,1)}
        49:{1,4,5,6}:{(36,1),(41,1),(63,1)}
        50:{3,4,5,7}:{(36,1),(37,1),(42,1),(60,1),(62,1),(63,1),(87,1),(104,1)}
        51:{1,2,3,4,7}:{(39,1),(64,1),(70,1),(90,1)}
        52:{3,6,7}:{(38,1),(42,1)}
        53:{1,2,3,5}:{(39,1),(67,1)}
        54:{1,2,5,6}:{(40,1),(41,1),(44,1),(69,1)}
        55:{2,3,5,7}:{(40,1),(42,1),(45,1),(62,1),(65,1),(69,1),(87,1)}
        56:{1,3,5,7}:{(41,1),(42,1),(46,1),(63,1),(66,1),(69,1),(87,1)}
        57:{1,2,3,6}:{(43,1),(44,1),(70,1)}
        58:{1,2,4,7}:{(44,1),(45,1),(46,1),(69,1),(70,1)}
        59:{4,5,6,7}:{(47,1),(71,1),(102,1)}
        60:{3,4,6,7}:{(47,1),(50,1),(52,1),(71,1),(72,1),(73,1),(93,1),(102,1)}
        61:{1,2,4,5,6}:{(48,1),(49,1),(54,1),(75,1),(76,1),(80,1),(95,1),(101,1)}
        62:{2,4,5,7}:{(48,1),(50,1),(55,1),(72,1)}
        63:{1,4,5,7}:{(49,1),(50,1),(56,1),(73,1)}
        64:{1,2,3,5,7}:{(51,1),(53,1),(77,1),(78,1)}
        65:{2,3,6,7}:{(52,1),(55,1),(72,1),(79,1),(93,1)}
        66:{1,3,6,7}:{(52,1),(56,1),(73,1),(79,1),(93,1)}
        67:{1,2,4,5}:{(53,1),(74,1),(80,1)}
        68:{1,2,3,5,6}:{(53,1),(54,1),(57,1),(75,1),(78,1),(80,1),(81,1),(95,1)}
        69:{1,2,5,7}:{(54,1),(55,1),(56,1),(58,1),(79,1)}
        70:{1,2,3,7}:{(57,1),(58,1)}
        71:{3,5,6,7}:{(59,1),(60,1),(82,1),(83,1)}
        72:{2,4,6,7}:{(60,1),(62,1),(65,1),(82,1)}
        73:{1,4,6,7}:{(60,1),(63,1),(66,1),(83,1)}
        74:{3,4,5}:{(67,1),(86,1)}
        75:{3,5,6}:{(61,1),(86,1),(87,1)}
        76:{1,2,4,5,7}:{(61,1),(62,1),(63,1),(69,1),(85,1),(87,1),(90,1),(100,1),(104,1)}
        77:{1,2,4,5,7}:{(64,1),(67,1),(84,1),(88,1),(90,1),(100,1)}
        78:{1,2,3,6}:{(64,1),(88,1)}
        79:{1,2,6,7}:{(65,1),(66,1),(69,1)}
        80:{1,2,4,6}:{(67,1),(68,1),(86,1),(90,1)}
        81:{1,2,3,5,7}:{(68,1),(69,1),(70,1),(87,1),(89,1),(90,1),(100,1)}
        82:{2,5,6,7}:{(71,1),(72,1)}
        83:{1,5,6,7}:{(71,1),(73,1)}
        84:{3,4,5,7}:{(74,1),(77,1),(92,1),(94,1),(103,1)}
        85:{1,2,4,6,7}:{(72,1),(73,1),(76,1),(79,1),(91,1),(93,1),(102,1)}
        86:{3,4,6}:{(74,1),(75,1),(80,1),(94,1)}
        87:{3,5,7}:{(75,1),(76,1),(93,1),(94,1)}
        88:{1,2,4,6}:{(77,1),(78,1),(92,1),(95,1)}
        89:{1,2,3,6,7}:{(78,1),(79,1),(81,1),(93,1),(96,1)}
        90:{1,2,4,7}:{(80,1),(81,1),(94,1)}
        91:{1,2,5,6,7}:{(82,1),(83,1),(85,1),(97,1),(100,1)}
        92:{3,4,6}:{(84,1),(88,1),(98,1)}
        93:{3,6,7}:{(85,1),(87,1)}
        94:{3,4,7}:{(86,1),(87,1),(90,1)}
        95:{1,2,5,6}:{(88,1),(98,1),(100,1)}
        96:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(99,1),(100,1)}
        97:{3,5,6,7}:{(91,1),(93,1),(102,1),(103,1)}
        98:{3,5,6}:{(92,1),(95,1),(101,1),(103,1)}
        99:{3,4,6,7}:{(92,1),(93,1),(94,1),(96,1),(102,1),(103,1)}
       100:{1,2,5,7}:{(95,1),(96,1),(103,1)}
       101:{4,5,6}:{(98,1),(104,1)}
       102:{4,6,7}:{(97,1),(104,1)}
       103:{3,5,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{4,5,7}:{(101,1),(102,1),(103,1)}

1782 :   0:{1,2,3,6,7}:{(3,1),(4,1),(40,1),(48,1),(83,1),(84,1),(85,1),(104,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(15,1),(19,1),(41,1),(48,1),(53,1),(84,1),(99,1),(104,1)}
         2:{1,3,4,6,7}:{(4,1),(6,1),(15,1),(22,1),(42,1),(48,1),(57,1),(85,1),(100,1),(104,1)}
         3:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(26,1),(29,1),(58,1),(65,1),(94,1),(95,1)}
         4:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(30,1),(60,1),(71,1),(74,1),(96,1),(103,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(10,1),(11,1),(29,1),(61,1),(70,1)}
         6:{1,3,5,7}:{(2,1),(9,1),(12,1),(13,1),(29,1),(62,1),(73,1)}
         7:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(40,1),(43,1),(48,1),(79,1),(80,1),(81,1),(83,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(75,1),(99,1),(100,1)}
         9:{1,2,5,7}:{(4,1),(5,1),(6,1),(17,1),(79,1),(86,1),(87,1)}
        10:{2,4,5,7}:{(5,1),(18,1),(19,1),(76,1),(99,1)}
        11:{2,3,5,6}:{(5,1),(17,1),(19,1),(48,1),(50,1)}
        12:{1,4,5,7}:{(6,1),(21,1),(22,1),(77,1),(100,1)}
        13:{1,3,5,6}:{(6,1),(17,1),(22,1),(48,1),(54,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(90,1),(91,1)}
        15:{3,4,7}:{(8,1),(24,1),(29,1),(88,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(12,1),(25,1),(29,1),(30,1),(33,1),(37,1),(65,1),(89,1),(103,1)}
        17:{1,2,5,6}:{(9,1),(11,1),(13,1),(30,1),(69,1),(72,1)}
        18:{3,4,5,7}:{(10,1),(29,1),(33,1),(34,1),(59,1),(70,1),(92,1)}
        19:{2,4,6}:{(10,1),(11,1),(34,1)}
        20:{2,3,5,6,7}:{(11,1),(31,1),(35,1),(68,1),(70,1),(94,1)}
        21:{3,4,5,7}:{(12,1),(29,1),(37,1),(38,1),(59,1),(73,1),(92,1)}
        22:{1,4,6}:{(12,1),(13,1),(38,1)}
        23:{1,3,5,6,7}:{(13,1),(31,1),(39,1),(68,1),(73,1),(95,1)}
        24:{3,4,6}:{(14,1),(15,1),(43,1),(48,1)}
        25:{1,2,4,5}:{(14,1),(43,1),(76,1),(77,1),(79,1)}
        26:{1,2,3,7}:{(40,1),(45,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(41,1),(45,1),(46,1),(99,1),(104,1)}
        28:{1,3,4,7}:{(15,1),(42,1),(45,1),(47,1),(100,1),(104,1)}
        29:{3,5,7}:{(15,1),(16,1),(43,1),(48,1),(97,1),(104,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(19,1),(22,1),(48,1),(52,1),(56,1),(83,1)}
        31:{1,2,5,6,7}:{(17,1),(20,1),(23,1),(49,1),(86,1),(87,1),(101,1)}
        32:{2,4,5,6}:{(19,1),(50,1),(51,1)}
        33:{1,4,5,7}:{(18,1),(47,1),(52,1),(77,1),(86,1),(100,1)}
        34:{3,4,6}:{(18,1),(19,1),(48,1),(50,1),(52,1)}
        35:{2,4,6,7}:{(19,1),(20,1),(51,1),(53,1),(99,1)}
        36:{1,4,5,6}:{(22,1),(54,1),(55,1)}
        37:{2,4,5,7}:{(21,1),(46,1),(56,1),(76,1),(87,1),(99,1)}
        38:{3,4,6}:{(21,1),(22,1),(48,1),(54,1),(56,1)}
        39:{1,4,6,7}:{(22,1),(23,1),(55,1),(57,1),(100,1)}
        40:{1,2,3,6}:{(26,1),(58,1),(60,1),(102,1)}
        41:{2,3,4,6}:{(24,1),(27,1),(60,1),(61,1),(66,1),(88,1),(90,1),(102,1)}
        42:{1,3,4,6}:{(24,1),(28,1),(60,1),(62,1),(67,1),(88,1),(91,1),(102,1)}
        43:{3,5}:{(24,1),(25,1)}
        44:{1,2,4,5,6}:{(25,1),(30,1),(32,1),(36,1),(63,1),(64,1),(69,1),(72,1),(90,1),(91,1),(93,1)}
        45:{1,2,4,7}:{(26,1),(27,1),(28,1),(60,1),(65,1)}
        46:{2,3,5,7}:{(27,1),(29,1),(37,1),(61,1),(65,1),(66,1)}
        47:{1,3,5,7}:{(28,1),(29,1),(33,1),(62,1),(65,1),(67,1)}
        48:{3,6}:{(29,1),(30,1)}
        49:{1,2,4,6,7}:{(30,1),(31,1),(35,1),(39,1),(64,1),(68,1),(71,1),(74,1),(96,1),(103,1)}
        50:{3,5,6}:{(32,1),(34,1),(69,1),(70,1)}
        51:{2,4,5,7}:{(32,1),(35,1),(70,1)}
        52:{1,4,6}:{(33,1),(34,1),(67,1),(69,1)}
        53:{3,4,6,7}:{(34,1),(35,1),(68,1),(70,1),(71,1),(92,1)}
        54:{3,5,6}:{(36,1),(38,1),(72,1),(73,1)}
        55:{1,4,5,7}:{(36,1),(39,1),(73,1)}
        56:{2,4,6}:{(37,1),(38,1),(66,1),(72,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(68,1),(73,1),(74,1),(92,1)}
        58:{1,2,3,5}:{(40,1),(75,1),(79,1),(97,1)}
        59:{3,4,5}:{(43,1),(76,1),(77,1),(78,1),(97,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(42,1),(45,1),(75,1),(79,1),(83,1)}
        61:{2,3,5}:{(41,1),(43,1),(76,1),(79,1),(97,1)}
        62:{1,3,5}:{(42,1),(43,1),(77,1),(79,1),(97,1)}
        63:{3,5,6}:{(43,1),(44,1),(48,1),(78,1),(82,1)}
        64:{1,2,4,5,7}:{(44,1),(49,1),(51,1),(55,1),(82,1),(86,1),(87,1),(99,1),(100,1),(101,1)}
        65:{1,2,5,7}:{(45,1),(46,1),(47,1),(79,1),(83,1)}
        66:{2,3,6}:{(46,1),(48,1),(56,1),(83,1)}
        67:{1,3,6}:{(47,1),(48,1),(52,1),(83,1)}
        68:{3,6,7}:{(48,1),(49,1),(82,1),(104,1)}
        69:{1,5,6}:{(50,1),(52,1),(86,1)}
        70:{3,5,7}:{(50,1),(51,1),(53,1),(86,1)}
        71:{1,4,6,7}:{(52,1),(53,1),(85,1),(86,1),(100,1)}
        72:{2,5,6}:{(54,1),(56,1),(87,1)}
        73:{3,5,7}:{(54,1),(55,1),(57,1),(87,1)}
        74:{2,4,6,7}:{(56,1),(57,1),(84,1),(87,1),(99,1)}
        75:{1,2,4}:{(58,1),(88,1)}
        76:{2,4,5}:{(59,1),(61,1),(90,1)}
        77:{1,4,5}:{(59,1),(62,1),(91,1)}
        78:{3,4,6}:{(59,1),(63,1),(90,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(60,1),(61,1),(62,1)}
        80:{2,3,5,6}:{(61,1),(63,1),(66,1),(72,1),(90,1),(93,1),(94,1),(102,1)}
        81:{1,3,5,6}:{(62,1),(63,1),(67,1),(69,1),(91,1),(93,1),(95,1),(102,1)}
        82:{3,5,7}:{(63,1),(64,1),(68,1),(92,1)}
        83:{1,2,6}:{(65,1),(66,1),(67,1)}
        84:{2,3,6,7}:{(66,1),(68,1),(74,1),(94,1),(96,1)}
        85:{1,3,6,7}:{(67,1),(68,1),(71,1),(95,1),(96,1)}
        86:{1,5,7}:{(69,1),(70,1),(71,1)}
        87:{2,5,7}:{(72,1),(73,1),(74,1)}
        88:{3,4}:{(75,1),(97,1)}
        89:{1,2,4,5}:{(75,1),(76,1),(77,1),(79,1),(97,1),(98,1)}
        90:{2,4,6}:{(76,1),(78,1),(80,1),(99,1)}
        91:{1,4,6}:{(77,1),(78,1),(81,1),(100,1)}
        92:{3,4,7}:{(78,1),(82,1),(99,1),(100,1),(104,1)}
        93:{1,2,5,6}:{(79,1),(80,1),(81,1),(83,1),(98,1),(101,1)}
        94:{2,3,5,7}:{(80,1),(82,1),(84,1),(87,1),(99,1),(101,1),(104,1)}
        95:{1,3,5,7}:{(81,1),(82,1),(85,1),(86,1),(100,1),(101,1),(104,1)}
        96:{1,2,6,7}:{(83,1),(84,1),(85,1),(101,1)}
        97:{3,5}:{(88,1),(89,1),(102,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{2,4,7}:{(90,1),(92,1),(94,1)}
       100:{1,4,7}:{(91,1),(92,1),(95,1)}
       101:{1,2,5,7}:{(93,1),(94,1),(95,1),(96,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1783 :   0:{1,2,3,4,6}:{(1,1),(2,1),(6,1),(8,1),(11,1),(25,1)}
         1:{1,2,3,5}:{(0,1),(3,1)}
         2:{1,2,3,4,7}:{(0,1),(5,1),(19,1),(39,1)}
         3:{1,2,4,5}:{(1,1),(7,1),(8,1)}
         4:{1,2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(25,1),(28,1),(33,1),(57,1)}
         5:{1,2,3,5,7}:{(1,1),(2,1),(9,1),(11,1)}
         6:{1,2,3,4}:{(13,1)}
         7:{3,4,5}:{(3,1),(16,1)}
         8:{1,2,4,6}:{(3,1),(4,1),(16,1),(19,1)}
         9:{1,2,4,5,7}:{(3,1),(5,1),(17,1),(19,1),(20,1),(48,1)}
        10:{1,2,3,5,7}:{(4,1),(19,1),(21,1),(39,1),(44,1),(48,1),(74,1)}
        11:{1,2,3,6}:{(5,1),(20,1)}
        12:{1,2,3,4,6}:{(6,1),(22,1),(23,1),(25,1),(50,1),(53,1)}
        13:{1,2,3,5}:{(6,1),(24,1),(25,1)}
        14:{1,3,4,5}:{(7,1),(24,1),(26,1),(49,1)}
        15:{2,3,4,5}:{(7,1),(24,1),(27,1),(49,1)}
        16:{3,4,6}:{(7,1),(8,1),(28,1),(29,1)}
        17:{3,4,5,7}:{(7,1),(9,1),(29,1),(30,1),(62,1)}
        18:{1,2,4,5,6}:{(8,1),(28,1),(31,1),(33,1),(54,1),(55,1),(57,1),(63,1)}
        19:{1,2,4,7}:{(8,1),(10,1),(29,1)}
        20:{1,2,4,6}:{(9,1),(11,1),(30,1),(33,1)}
        21:{1,2,3,6,7}:{(10,1),(11,1),(32,1),(61,1),(88,1)}
        22:{1,2,3,5}:{(12,1),(34,1)}
        23:{1,2,3,4,7}:{(12,1),(36,1),(39,1),(68,1)}
        24:{1,2,4,5}:{(13,1),(14,1),(15,1),(38,1)}
        25:{1,2,3,6}:{(13,1),(38,1),(39,1)}
        26:{1,3,4,6}:{(14,1),(16,1),(38,1),(40,1),(41,1),(65,1)}
        27:{2,3,4,6}:{(15,1),(16,1),(38,1),(42,1),(43,1),(65,1)}
        28:{3,5,6}:{(16,1),(18,1),(44,1)}
        29:{3,4,7}:{(16,1),(19,1),(44,1)}
        30:{3,4,6}:{(17,1),(20,1),(46,1)}
        31:{1,2,4,5,7}:{(18,1),(19,1),(44,1),(47,1),(48,1),(71,1),(72,1),(74,1),(78,1)}
        32:{1,2,4,6,7}:{(19,1),(20,1),(21,1),(45,1),(48,1)}
        33:{1,2,5,6}:{(20,1),(46,1),(48,1)}
        34:{1,2,4,5}:{(22,1),(49,1),(50,1)}
        35:{1,2,3,5,6}:{(22,1),(25,1),(50,1),(52,1),(53,1),(57,1),(79,1),(84,1)}
        36:{1,2,3,5,7}:{(22,1),(23,1),(51,1),(53,1)}
        37:{3,4,5,6}:{(28,1),(54,1),(55,1),(56,1),(63,1),(79,1),(100,1)}
        38:{1,2,4,6}:{(24,1),(25,1),(26,1),(27,1),(57,1),(58,1)}
        39:{1,2,3,7}:{(25,1),(58,1)}
        40:{1,3,5,6}:{(26,1),(28,1),(54,1),(57,1),(59,1),(79,1)}
        41:{1,3,4,7}:{(26,1),(29,1),(58,1),(59,1),(80,1)}
        42:{2,3,5,6}:{(27,1),(28,1),(55,1),(57,1),(60,1),(79,1)}
        43:{2,3,4,7}:{(27,1),(29,1),(58,1),(60,1),(80,1)}
        44:{3,5,7}:{(28,1),(29,1),(31,1),(61,1)}
        45:{3,4,6,7}:{(29,1),(30,1),(32,1),(61,1),(62,1),(89,1)}
        46:{3,5,6}:{(30,1),(33,1),(62,1),(63,1)}
        47:{1,2,4,6,7}:{(31,1),(61,1),(64,1),(85,1),(86,1),(88,1),(89,1)}
        48:{1,2,5,7}:{(32,1),(33,1),(62,1)}
        49:{3,4,5}:{(34,1),(65,1)}
        50:{1,2,4,6}:{(34,1),(35,1),(65,1),(68,1)}
        51:{1,2,4,5,7}:{(34,1),(36,1),(66,1),(68,1),(69,1),(94,1)}
        52:{1,2,3,5,7}:{(35,1),(39,1),(68,1),(70,1),(74,1),(90,1),(94,1)}
        53:{1,2,3,6}:{(36,1),(69,1)}
        54:{1,4,5,6}:{(37,1),(40,1),(71,1)}
        55:{2,4,5,6}:{(37,1),(42,1),(72,1)}
        56:{3,4,5,7}:{(37,1),(44,1),(71,1),(72,1),(73,1),(78,1),(90,1),(103,1)}
        57:{1,2,5,6}:{(38,1),(40,1),(42,1),(74,1)}
        58:{1,2,4,7}:{(38,1),(39,1),(41,1),(43,1),(74,1)}
        59:{1,3,5,7}:{(40,1),(41,1),(44,1),(71,1),(74,1),(75,1),(90,1)}
        60:{2,3,5,7}:{(42,1),(43,1),(44,1),(72,1),(74,1),(76,1),(90,1)}
        61:{3,6,7}:{(44,1),(47,1)}
        62:{3,5,7}:{(45,1),(46,1),(48,1),(78,1)}
        63:{4,5,6}:{(46,1),(78,1)}
        64:{1,2,5,6,7}:{(47,1),(48,1),(77,1),(95,1),(96,1)}
        65:{3,4,6}:{(49,1),(50,1),(79,1),(80,1)}
        66:{3,4,5,7}:{(49,1),(51,1),(80,1),(81,1),(99,1)}
        67:{1,2,4,5,6}:{(50,1),(54,1),(55,1),(57,1),(79,1),(82,1),(84,1),(100,1)}
        68:{1,2,4,7}:{(50,1),(52,1),(80,1)}
        69:{1,2,4,6}:{(51,1),(53,1),(81,1),(84,1)}
        70:{1,2,3,6,7}:{(52,1),(53,1),(83,1),(88,1),(98,1)}
        71:{1,4,5,7}:{(54,1),(56,1),(59,1),(85,1)}
        72:{2,4,5,7}:{(55,1),(56,1),(60,1),(86,1)}
        73:{3,4,6,7}:{(56,1),(61,1),(85,1),(86,1),(87,1),(89,1),(98,1),(104,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(60,1),(88,1)}
        75:{1,3,6,7}:{(59,1),(61,1),(85,1),(88,1),(98,1)}
        76:{2,3,6,7}:{(60,1),(61,1),(86,1),(88,1),(98,1)}
        77:{3,5,6,7}:{(61,1),(62,1),(64,1),(89,1)}
        78:{4,5,7}:{(62,1),(63,1),(89,1)}
        79:{3,5,6}:{(65,1),(67,1),(90,1)}
        80:{3,4,7}:{(65,1),(68,1),(90,1)}
        81:{3,4,6}:{(66,1),(69,1),(92,1)}
        82:{1,2,4,5,7}:{(67,1),(68,1),(71,1),(72,1),(74,1),(90,1),(93,1),(94,1),(103,1)}
        83:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(91,1),(94,1)}
        84:{1,2,5,6}:{(69,1),(92,1),(94,1)}
        85:{1,4,6,7}:{(71,1),(73,1),(75,1),(95,1)}
        86:{2,4,6,7}:{(72,1),(73,1),(76,1),(96,1)}
        87:{3,5,6,7}:{(73,1),(95,1),(96,1),(97,1)}
        88:{1,2,6,7}:{(74,1),(75,1),(76,1)}
        89:{4,6,7}:{(77,1),(78,1)}
        90:{3,5,7}:{(79,1),(80,1),(82,1),(98,1)}
        91:{3,4,6,7}:{(80,1),(81,1),(83,1),(98,1),(99,1),(104,1)}
        92:{3,5,6}:{(81,1),(84,1),(99,1),(100,1)}
        93:{1,2,4,6,7}:{(82,1),(85,1),(86,1),(88,1),(98,1),(101,1),(104,1)}
        94:{1,2,5,7}:{(83,1),(84,1),(99,1)}
        95:{1,5,6,7}:{(85,1),(87,1)}
        96:{2,5,6,7}:{(86,1),(87,1)}
        97:{4,5,6,7}:{(87,1),(89,1),(104,1)}
        98:{3,6,7}:{(90,1),(93,1)}
        99:{3,5,7}:{(91,1),(92,1),(94,1),(103,1)}
       100:{4,5,6}:{(92,1),(103,1)}
       101:{1,2,5,6,7}:{(93,1),(94,1),(95,1),(96,1),(102,1)}
       102:{3,5,6,7}:{(98,1),(99,1),(101,1),(104,1)}
       103:{4,5,7}:{(99,1),(100,1),(104,1)}
       104:{4,6,7}:{(102,1),(103,1)}

1784 :   0:{1,2,3,6,7}:{(3,1),(4,1),(48,1),(80,1),(83,1),(84,1),(85,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(42,1),(48,1),(52,1),(84,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(48,1),(54,1),(83,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(29,1),(61,1),(71,1),(72,1),(94,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(30,1),(69,1),(70,1),(90,1),(91,1),(93,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(11,1),(30,1),(60,1),(62,1)}
         6:{1,3,5,7}:{(2,1),(8,1),(12,1),(13,1),(30,1),(59,1),(64,1)}
         7:{1,2,3,5,6}:{(4,1),(14,1),(15,1),(40,1),(48,1),(77,1),(78,1),(79,1),(80,1),(85,1)}
         8:{1,2,5,7}:{(3,1),(5,1),(6,1),(15,1),(79,1),(81,1),(82,1)}
         9:{1,2,4,7}:{(4,1),(14,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(15,1),(19,1),(44,1),(48,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(75,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(15,1),(22,1),(46,1),(48,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(74,1),(95,1)}
        14:{1,2,4,6}:{(7,1),(9,1),(24,1),(25,1),(87,1),(88,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(12,1),(29,1),(63,1),(65,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(11,1),(13,1),(24,1),(29,1),(30,1),(35,1),(38,1),(69,1),(89,1),(101,1)}
        17:{3,4,7}:{(9,1),(25,1),(30,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(28,1),(33,1),(62,1),(66,1),(91,1)}
        19:{2,4,6}:{(10,1),(11,1),(34,1)}
        20:{3,4,5,7}:{(11,1),(30,1),(34,1),(35,1),(56,1),(62,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(28,1),(36,1),(64,1),(66,1),(90,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(30,1),(37,1),(38,1),(56,1),(64,1),(86,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(74,1),(75,1),(79,1)}
        25:{3,4,6}:{(14,1),(17,1),(40,1),(48,1)}
        26:{2,4,5,6}:{(19,1),(43,1),(44,1)}
        27:{1,4,5,6}:{(22,1),(45,1),(46,1)}
        28:{1,2,5,6,7}:{(15,1),(18,1),(21,1),(47,1),(81,1),(82,1),(99,1)}
        29:{1,2,4,6}:{(15,1),(16,1),(19,1),(22,1),(48,1),(53,1),(55,1),(85,1)}
        30:{3,5,7}:{(16,1),(17,1),(40,1),(48,1),(98,1),(104,1)}
        31:{1,3,4,7}:{(17,1),(41,1),(49,1),(51,1),(95,1),(104,1)}
        32:{2,3,4,7}:{(17,1),(42,1),(50,1),(51,1),(96,1),(104,1)}
        33:{2,4,6,7}:{(18,1),(19,1),(43,1),(52,1),(96,1)}
        34:{3,4,6}:{(19,1),(20,1),(44,1),(48,1),(53,1)}
        35:{1,4,5,7}:{(20,1),(49,1),(53,1),(74,1),(81,1),(95,1)}
        36:{1,4,6,7}:{(21,1),(22,1),(45,1),(54,1),(95,1)}
        37:{3,4,6}:{(22,1),(23,1),(46,1),(48,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(50,1),(55,1),(75,1),(82,1),(96,1)}
        39:{1,2,4,5,6}:{(24,1),(26,1),(27,1),(29,1),(57,1),(58,1),(63,1),(65,1),(87,1),(88,1),(92,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(31,1),(59,1),(61,1),(67,1),(87,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(32,1),(60,1),(61,1),(68,1),(88,1),(102,1),(103,1)}
        43:{2,4,5,7}:{(26,1),(33,1),(62,1)}
        44:{3,5,6}:{(26,1),(34,1),(62,1),(63,1)}
        45:{1,4,5,7}:{(27,1),(36,1),(64,1)}
        46:{3,5,6}:{(27,1),(37,1),(64,1),(65,1)}
        47:{1,2,4,6,7}:{(28,1),(29,1),(33,1),(36,1),(57,1),(66,1),(71,1),(72,1),(94,1),(101,1)}
        48:{3,6}:{(29,1),(30,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(35,1),(59,1),(67,1),(69,1)}
        50:{2,3,5,7}:{(30,1),(32,1),(38,1),(60,1),(68,1),(69,1)}
        51:{1,2,4,7}:{(31,1),(32,1),(61,1),(69,1),(70,1)}
        52:{3,4,6,7}:{(33,1),(34,1),(62,1),(66,1),(71,1),(86,1)}
        53:{1,4,6}:{(34,1),(35,1),(63,1),(67,1)}
        54:{3,4,6,7}:{(36,1),(37,1),(64,1),(66,1),(72,1),(86,1)}
        55:{2,4,6}:{(37,1),(38,1),(65,1),(68,1)}
        56:{3,4,5}:{(40,1),(73,1),(74,1),(75,1),(98,1)}
        57:{1,2,4,5,7}:{(39,1),(43,1),(45,1),(47,1),(76,1),(81,1),(82,1),(95,1),(96,1),(99,1)}
        58:{3,5,6}:{(39,1),(40,1),(48,1),(73,1),(76,1)}
        59:{1,3,5}:{(40,1),(41,1),(74,1),(79,1),(98,1)}
        60:{2,3,5}:{(40,1),(42,1),(75,1),(79,1),(98,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(51,1),(79,1),(80,1),(85,1),(100,1)}
        62:{3,5,7}:{(43,1),(44,1),(52,1),(81,1)}
        63:{1,5,6}:{(44,1),(53,1),(81,1)}
        64:{3,5,7}:{(45,1),(46,1),(54,1),(82,1)}
        65:{2,5,6}:{(46,1),(55,1),(82,1)}
        66:{3,6,7}:{(47,1),(48,1),(76,1),(104,1)}
        67:{1,3,6}:{(48,1),(49,1),(53,1),(85,1)}
        68:{2,3,6}:{(48,1),(50,1),(55,1),(85,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(85,1)}
        70:{1,2,3,7}:{(51,1),(80,1),(104,1)}
        71:{1,4,6,7}:{(52,1),(53,1),(81,1),(83,1),(95,1)}
        72:{2,4,6,7}:{(54,1),(55,1),(82,1),(84,1),(96,1)}
        73:{3,4,6}:{(56,1),(58,1),(86,1),(87,1),(88,1),(102,1)}
        74:{1,4,5}:{(56,1),(59,1),(87,1)}
        75:{2,4,5}:{(56,1),(60,1),(88,1)}
        76:{3,5,7}:{(57,1),(58,1),(66,1),(86,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(67,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(65,1),(68,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(70,1),(93,1),(102,1)}
        81:{1,5,7}:{(62,1),(63,1),(71,1)}
        82:{2,5,7}:{(64,1),(65,1),(72,1)}
        83:{1,3,6,7}:{(66,1),(67,1),(71,1),(90,1),(94,1)}
        84:{2,3,6,7}:{(66,1),(68,1),(72,1),(91,1),(94,1)}
        85:{1,2,6}:{(67,1),(68,1),(69,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        88:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(74,1),(75,1),(79,1),(97,1),(98,1),(100,1)}
        90:{1,3,5,7}:{(76,1),(77,1),(81,1),(83,1),(95,1),(99,1),(104,1)}
        91:{2,3,5,7}:{(76,1),(78,1),(82,1),(84,1),(96,1),(99,1),(104,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(85,1),(97,1),(99,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(98,1),(100,1)}
        94:{1,2,6,7}:{(83,1),(84,1),(85,1),(99,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,4,6}:{(87,1),(88,1),(89,1),(92,1),(101,1),(102,1)}
        98:{3,5}:{(89,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(90,1),(91,1),(92,1),(94,1),(101,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1785 :   0:{1,2,3,4,7}:{(1,1),(2,1),(21,1),(65,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1)}
         2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(15,1),(54,1),(55,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(21,1)}
         4:{1,2,3,6}:{(1,1),(7,1)}
         5:{1,2,3,5}:{(2,1),(10,1)}
         6:{3,4,5,7}:{(3,1),(11,1),(16,1),(25,1),(30,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(11,1),(13,1)}
         8:{1,2,3,6,7}:{(4,1),(12,1),(14,1),(49,1),(72,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(15,1),(29,1),(52,1),(54,1)}
        10:{1,2,4,5}:{(5,1),(15,1),(16,1)}
        11:{3,4,6}:{(6,1),(7,1),(18,1)}
        12:{1,2,4,6,7}:{(7,1),(8,1),(17,1),(19,1),(21,1)}
        13:{1,2,5,6}:{(7,1),(18,1),(19,1)}
        14:{1,2,3,5,7}:{(8,1),(9,1),(19,1),(21,1),(38,1),(63,1),(65,1)}
        15:{1,2,4,6}:{(9,1),(10,1),(21,1),(22,1)}
        16:{3,4,5}:{(10,1),(22,1)}
        17:{3,4,6,7}:{(11,1),(12,1),(25,1),(30,1),(45,1),(49,1)}
        18:{3,5,6}:{(11,1),(13,1),(25,1),(26,1)}
        19:{1,2,5,7}:{(12,1),(13,1),(25,1)}
        20:{1,2,4,5,6}:{(13,1),(15,1),(26,1),(28,1),(29,1),(47,1),(48,1),(52,1)}
        21:{1,2,4,7}:{(14,1),(15,1),(30,1)}
        22:{3,4,6}:{(15,1),(16,1),(29,1),(30,1)}
        23:{1,3,4,5}:{(16,1),(31,1),(33,1),(89,1)}
        24:{2,3,4,5}:{(16,1),(32,1),(33,1),(89,1)}
        25:{3,5,7}:{(17,1),(18,1),(19,1),(35,1)}
        26:{4,5,6}:{(18,1),(35,1)}
        27:{1,2,5,6,7}:{(19,1),(34,1),(37,1),(77,1),(78,1)}
        28:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(35,1),(37,1),(38,1),(58,1),(59,1),(63,1)}
        29:{3,5,6}:{(20,1),(22,1),(38,1)}
        30:{3,4,7}:{(21,1),(22,1),(38,1)}
        31:{1,3,4,6}:{(22,1),(23,1),(39,1),(41,1),(43,1),(81,1)}
        32:{2,3,4,6}:{(22,1),(24,1),(40,1),(42,1),(43,1),(81,1)}
        33:{1,2,4,5}:{(23,1),(24,1),(43,1),(44,1)}
        34:{3,5,6,7}:{(25,1),(27,1),(45,1),(49,1)}
        35:{4,5,7}:{(25,1),(26,1),(45,1)}
        36:{3,4,5,6}:{(26,1),(29,1),(46,1),(47,1),(48,1),(71,1),(104,1)}
        37:{1,2,4,6,7}:{(27,1),(28,1),(45,1),(49,1),(68,1),(69,1),(72,1)}
        38:{3,5,7}:{(28,1),(29,1),(30,1),(49,1)}
        39:{1,3,5,6}:{(29,1),(31,1),(47,1),(50,1),(52,1),(71,1)}
        40:{2,3,5,6}:{(29,1),(32,1),(48,1),(51,1),(52,1),(71,1)}
        41:{1,3,4,7}:{(30,1),(31,1),(50,1),(53,1),(88,1)}
        42:{2,3,4,7}:{(30,1),(32,1),(51,1),(53,1),(88,1)}
        43:{1,2,4,6}:{(31,1),(32,1),(33,1),(52,1),(53,1),(54,1)}
        44:{1,2,3,5}:{(33,1),(54,1),(55,1)}
        45:{4,6,7}:{(34,1),(35,1)}
        46:{3,4,5,7}:{(35,1),(36,1),(38,1),(57,1),(58,1),(59,1),(80,1),(102,1)}
        47:{1,4,5,6}:{(36,1),(39,1),(58,1)}
        48:{2,4,5,6}:{(36,1),(40,1),(59,1)}
        49:{3,6,7}:{(37,1),(38,1)}
        50:{1,3,5,7}:{(38,1),(39,1),(41,1),(58,1),(61,1),(63,1),(80,1)}
        51:{2,3,5,7}:{(38,1),(40,1),(42,1),(59,1),(62,1),(63,1),(80,1)}
        52:{1,2,5,6}:{(39,1),(40,1),(43,1),(63,1)}
        53:{1,2,4,7}:{(41,1),(42,1),(43,1),(63,1),(65,1)}
        54:{1,2,3,6}:{(43,1),(44,1),(65,1)}
        55:{1,2,3,4}:{(44,1)}
        56:{4,5,6,7}:{(45,1),(67,1),(98,1)}
        57:{3,4,6,7}:{(45,1),(46,1),(49,1),(67,1),(68,1),(69,1),(87,1),(98,1)}
        58:{1,4,5,7}:{(46,1),(47,1),(50,1),(68,1)}
        59:{2,4,5,7}:{(46,1),(48,1),(51,1),(69,1)}
        60:{1,2,4,5,6}:{(47,1),(48,1),(52,1),(70,1),(71,1),(74,1),(101,1),(104,1)}
        61:{1,3,6,7}:{(49,1),(50,1),(68,1),(72,1),(87,1)}
        62:{2,3,6,7}:{(49,1),(51,1),(69,1),(72,1),(87,1)}
        63:{1,2,5,7}:{(50,1),(51,1),(52,1),(53,1),(72,1)}
        64:{1,2,3,5,6}:{(52,1),(54,1),(71,1),(73,1),(74,1),(76,1),(92,1),(101,1)}
        65:{1,2,3,7}:{(53,1),(54,1)}
        66:{1,2,3,4,6}:{(54,1),(55,1),(74,1),(75,1),(76,1),(92,1)}
        67:{3,5,6,7}:{(56,1),(57,1),(77,1),(78,1)}
        68:{1,4,6,7}:{(57,1),(58,1),(61,1),(77,1)}
        69:{2,4,6,7}:{(57,1),(59,1),(62,1),(78,1)}
        70:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(63,1),(79,1),(80,1),(83,1),(96,1),(102,1)}
        71:{3,5,6}:{(60,1),(80,1),(81,1)}
        72:{1,2,6,7}:{(61,1),(62,1),(63,1)}
        73:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(80,1),(82,1),(83,1),(96,1)}
        74:{1,2,4,6}:{(64,1),(81,1),(83,1),(84,1)}
        75:{1,2,3,4,7}:{(65,1),(66,1),(83,1),(85,1)}
        76:{1,2,3,5}:{(66,1),(84,1)}
        77:{1,5,6,7}:{(67,1),(68,1)}
        78:{2,5,6,7}:{(67,1),(69,1)}
        79:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(72,1),(86,1),(87,1),(98,1)}
        80:{3,5,7}:{(70,1),(71,1),(87,1),(88,1)}
        81:{3,4,6}:{(71,1),(74,1),(88,1),(89,1)}
        82:{1,2,3,6,7}:{(72,1),(73,1),(87,1),(90,1),(92,1)}
        83:{1,2,4,7}:{(73,1),(74,1),(88,1)}
        84:{1,2,4,5}:{(74,1),(76,1),(89,1)}
        85:{1,2,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,2,5,6,7}:{(77,1),(78,1),(79,1),(93,1),(96,1)}
        87:{3,6,7}:{(79,1),(80,1)}
        88:{3,4,7}:{(80,1),(81,1),(83,1)}
        89:{3,4,5}:{(81,1),(84,1)}
        90:{1,2,4,6,7}:{(82,1),(83,1),(94,1),(96,1),(97,1)}
        91:{1,2,4,5,7}:{(83,1),(84,1),(85,1),(95,1),(96,1),(97,1)}
        92:{1,2,3,6}:{(85,1),(97,1)}
        93:{3,5,6,7}:{(86,1),(87,1),(98,1),(99,1)}
        94:{3,4,6,7}:{(87,1),(88,1),(90,1),(98,1),(99,1),(100,1)}
        95:{3,4,5,7}:{(88,1),(89,1),(91,1),(99,1),(100,1)}
        96:{1,2,5,7}:{(90,1),(99,1),(101,1)}
        97:{1,2,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{4,6,7}:{(93,1),(102,1)}
        99:{3,5,7}:{(94,1),(96,1),(102,1),(103,1)}
       100:{3,4,6}:{(95,1),(97,1),(103,1)}
       101:{1,2,5,6}:{(96,1),(97,1),(103,1)}
       102:{4,5,7}:{(98,1),(99,1),(104,1)}
       103:{3,5,6}:{(99,1),(100,1),(101,1),(104,1)}
       104:{4,5,6}:{(102,1),(103,1)}

1786 :  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:{3,4,5}:{(2,1),(7,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
        6:{1,2,3,7}:{(3,1),(9,1)}
        7:{3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,5,6}:{(5,1),(10,1),(12,1)}
        9:{1,2,4,7}:{(5,1),(6,1),(11,1),(12,1)}
       10:{3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{3,4,7}:{(7,1),(9,1),(14,1)}
       12:{1,2,5,7}:{(8,1),(9,1),(14,1),(15,1)}
       13:{4,5,6}:{(10,1),(16,1)}
       14:{3,5,7}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
       15:{1,2,6,7}:{(12,1),(17,1)}
       16:{4,5,7}:{(13,1),(14,1),(18,1)}
       17:{3,6,7}:{(14,1),(15,1),(18,1)}
       18:{4,6,7}:{(16,1),(17,1),(19,1)}
       19:{5,6,7}:{(18,1)}

1787 :   0:{2,3,4,5,7}:{(2,1),(3,1),(14,1),(44,1),(84,1),(88,1),(96,1),(127,1),(132,1),(135,1)}
         1:{2,4,5,6,7}:{(4,1),(23,1),(173,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(72,1),(153,1),(158,1),(160,1)}
         3:{1,2,4,5,7}:{(0,1),(8,1),(9,1),(27,1),(30,1),(62,1),(69,1),(73,1)}
         4:{3,5,6,7}:{(1,1),(10,1),(11,1),(190,1)}
         5:{2,3,4,6,7}:{(2,1),(14,1),(15,1),(23,1),(55,1),(84,1),(99,1)}
         6:{3,4,5,6}:{(13,1),(17,1),(18,1),(50,1),(140,1),(175,1)}
         7:{2,3,5,6}:{(2,1),(14,1),(18,1),(19,1),(50,1),(88,1),(150,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(19,1),(20,1),(51,1)}
         9:{1,3,5,7}:{(3,1),(20,1),(21,1),(52,1),(132,1)}
        10:{3,4,6,7}:{(4,1),(13,1),(22,1),(23,1),(55,1),(175,1)}
        11:{1,5,6,7}:{(4,1),(22,1),(202,1)}
        12:{2,3,5,6,7}:{(4,1),(14,1),(23,1),(24,1),(55,1),(128,1)}
        13:{3,4,5,7}:{(6,1),(10,1),(25,1),(26,1),(61,1)}
        14:{2,3,5,7}:{(5,1),(7,1),(26,1),(27,1),(61,1),(124,1)}
        15:{1,2,4,6,7}:{(5,1),(8,1),(27,1),(28,1),(62,1)}
        16:{1,2,3,5,7}:{(9,1),(29,1),(30,1),(66,1),(69,1)}
        17:{1,4,5,6}:{(6,1),(25,1),(31,1),(164,1),(192,1)}
        18:{2,4,5,6}:{(6,1),(7,1),(26,1),(112,1),(153,1)}
        19:{1,2,5,6}:{(7,1),(8,1),(27,1),(33,1),(69,1)}
        20:{1,3,6}:{(8,1),(9,1),(158,1)}
        21:{1,3,4,7}:{(9,1),(30,1),(34,1),(62,1),(104,1)}
        22:{1,4,6,7}:{(10,1),(11,1),(25,1),(36,1),(192,1)}
        23:{2,4,6,7}:{(10,1),(12,1),(26,1),(153,1)}
        24:{1,2,5,6,7}:{(11,1),(12,1),(27,1),(37,1),(38,1),(106,1),(124,1)}
        25:{1,4,5,7}:{(13,1),(17,1),(22,1),(40,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(18,1),(23,1)}
        27:{1,2,5,7}:{(14,1),(15,1),(19,1),(42,1)}
        28:{1,3,6,7}:{(15,1),(20,1),(42,1),(55,1)}
        29:{1,2,3,6}:{(16,1),(20,1),(47,1),(89,1)}
        30:{1,2,4,7}:{(16,1),(21,1),(44,1),(47,1)}
        31:{1,3,5,6}:{(17,1),(40,1),(45,1),(49,1),(50,1),(145,1),(179,1)}
        32:{1,2,4,5,6}:{(17,1),(18,1),(19,1),(41,1),(49,1),(50,1),(51,1),(92,1),(95,1),(101,1),(133,1),(150,1)}
        33:{1,3,5,6}:{(19,1),(20,1),(42,1),(50,1),(51,1),(52,1)}
        34:{1,3,4,6}:{(20,1),(21,1),(47,1),(51,1),(52,1),(91,1)}
        35:{1,3,4,5,7}:{(21,1),(48,1),(52,1),(53,1),(85,1),(98,1),(132,1),(140,1),(174,1),(186,1)}
        36:{1,3,6,7}:{(22,1),(40,1),(54,1),(55,1),(179,1)}
        37:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(41,1),(54,1),(55,1),(56,1),(99,1),(133,1)}
        38:{1,3,5,6,7}:{(24,1),(42,1),(55,1),(56,1),(86,1),(100,1)}
        39:{1,2,3,6,7}:{(28,1),(29,1),(58,1),(59,1),(76,1),(114,1),(158,1),(194,1),(196,1)}
        40:{1,3,5,7}:{(25,1),(31,1),(36,1),(57,1),(60,1),(61,1)}
        41:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(32,1),(37,1),(60,1),(61,1),(62,1),(78,1),(107,1),(124,1)}
        42:{1,3,5,7}:{(27,1),(28,1),(33,1),(61,1),(62,1)}
        43:{1,3,4,6,7}:{(28,1),(34,1),(59,1),(62,1),(63,1),(77,1),(104,1),(109,1),(158,1)}
        44:{2,3,4,7}:{(30,1),(65,1),(66,1),(104,1),(166,1)}
        45:{1,3,4,6}:{(31,1),(57,1),(64,1),(67,1),(72,1)}
        46:{1,2,3,5,6}:{(29,1),(33,1),(58,1),(68,1),(69,1),(71,1),(106,1),(113,1),(115,1),(118,1),(158,1),(167,1),(169,1),(194,1)}
        47:{1,2,4,6}:{(29,1),(30,1),(34,1),(65,1),(69,1)}
        48:{1,2,4,5,7}:{(30,1),(35,1),(66,1),(69,1),(70,1),(112,1),(120,1),(166,1)}
        49:{1,2,5,6}:{(31,1),(60,1),(67,1),(71,1),(167,1),(194,1)}
        50:{3,5,6}:{(32,1),(61,1),(72,1),(118,1),(158,1)}
        51:{1,4,6}:{(33,1),(62,1),(72,1),(73,1)}
        52:{1,3,5}:{(34,1),(69,1),(73,1),(118,1)}
        53:{1,3,4,6}:{(35,1),(70,1),(74,1),(109,1),(158,1),(165,1),(192,1)}
        54:{1,2,6,7}:{(36,1),(60,1),(76,1),(194,1)}
        55:{3,6,7}:{(37,1),(61,1),(158,1)}
        56:{1,4,6,7}:{(38,1),(62,1),(77,1),(78,1),(109,1)}
        57:{1,3,4,7}:{(40,1),(45,1),(80,1),(84,1)}
        58:{1,2,3,5,7}:{(39,1),(42,1),(46,1),(81,1),(82,1),(83,1),(129,1),(132,1),(142,1),(177,1),(189,1)}
        59:{1,2,4,6,7}:{(39,1),(43,1),(47,1),(79,1),(81,1),(82,1),(99,1),(133,1),(204,1)}
        60:{1,2,5,7}:{(40,1),(49,1),(54,1),(80,1),(83,1)}
        61:{3,5,7}:{(41,1),(50,1),(55,1),(84,1)}
        62:{1,4,7}:{(42,1),(51,1),(84,1)}
        63:{1,3,5,7}:{(43,1),(52,1),(82,1),(85,1),(86,1),(100,1),(132,1)}
        64:{1,3,4,5}:{(45,1),(87,1),(96,1),(145,1),(182,1)}
        65:{2,3,4,6}:{(44,1),(47,1),(88,1),(89,1),(91,1),(141,1)}
        66:{2,3,5,7}:{(44,1),(48,1),(88,1),(89,1),(132,1)}
        67:{1,2,4,6}:{(45,1),(49,1),(80,1),(87,1),(90,1),(95,1)}
        68:{1,2,4,6}:{(46,1),(51,1),(81,1),(91,1),(92,1),(95,1),(141,1),(185,1)}
        69:{1,2,5}:{(47,1),(52,1),(88,1)}
        70:{1,2,4,6}:{(48,1),(53,1),(89,1),(93,1),(141,1)}
        71:{2,3,5,6}:{(49,1),(50,1),(83,1),(90,1),(95,1),(144,1),(150,1),(178,1)}
        72:{3,4,6}:{(50,1),(51,1),(84,1),(95,1),(96,1)}
        73:{1,4,5}:{(51,1),(52,1),(96,1)}
        74:{1,3,5,6}:{(52,1),(53,1),(93,1),(97,1),(98,1),(146,1),(202,1)}
        75:{1,3,4,6,7}:{(53,1),(94,1),(98,1),(137,1),(180,1),(186,1),(204,1)}
        76:{2,3,6,7}:{(54,1),(55,1),(83,1),(99,1),(178,1)}
        77:{3,4,6,7}:{(55,1),(56,1),(84,1),(99,1),(100,1),(136,1)}
        78:{1,4,5,7}:{(56,1),(100,1),(101,1)}
        79:{2,3,4,6,7}:{(59,1),(65,1),(102,1),(104,1),(114,1),(153,1),(158,1),(166,1),(193,1)}
        80:{1,2,4,7}:{(57,1),(60,1),(67,1),(103,1),(107,1)}
        81:{1,2,4,7}:{(58,1),(62,1),(68,1),(104,1),(107,1),(166,1),(200,1)}
        82:{1,2,5,7}:{(59,1),(63,1),(69,1),(102,1),(106,1),(124,1),(208,1)}
        83:{2,3,5,7}:{(60,1),(61,1),(71,1),(76,1),(103,1),(107,1),(124,1)}
        84:{3,4,7}:{(61,1),(62,1),(72,1),(107,1)}
        85:{1,4,5,7}:{(62,1),(63,1),(73,1),(108,1),(109,1)}
        86:{1,3,5,6}:{(63,1),(106,1),(109,1),(125,1),(158,1)}
        87:{1,2,4,5}:{(64,1),(67,1),(111,1),(121,1),(162,1),(167,1)}
        88:{2,3,5}:{(65,1),(69,1),(112,1),(118,1)}
        89:{2,3,6}:{(66,1),(70,1),(158,1)}
        90:{2,3,6}:{(67,1),(103,1),(111,1)}
        91:{3,4,6}:{(68,1),(104,1),(118,1),(158,1)}
        92:{1,2,4,5}:{(68,1),(69,1),(73,1),(112,1),(118,1),(121,1),(164,1),(167,1)}
        93:{1,2,5,6}:{(69,1),(70,1),(74,1),(113,1),(120,1)}
        94:{1,2,4,6,7}:{(70,1),(75,1),(114,1),(120,1),(166,1)}
        95:{2,4,6}:{(71,1),(72,1),(107,1),(121,1)}
        96:{3,4,5}:{(72,1),(73,1),(118,1),(121,1)}
        97:{1,4,5,6}:{(73,1),(74,1),(109,1),(122,1),(123,1)}
        98:{1,3,5,7}:{(74,1),(75,1),(120,1),(123,1),(170,1),(208,1)}
        99:{2,4,6,7}:{(76,1),(77,1),(107,1),(124,1),(160,1)}
       100:{3,5,7}:{(77,1),(78,1),(124,1),(125,1)}
       101:{1,4,5,6}:{(78,1),(109,1),(125,1)}
       102:{2,3,5,7}:{(79,1),(82,1),(88,1),(127,1),(128,1),(132,1),(203,1)}
       103:{2,3,7}:{(80,1),(90,1)}
       104:{3,4,7}:{(81,1),(91,1),(132,1)}
       105:{1,2,4,5,7}:{(81,1),(82,1),(85,1),(92,1),(127,1),(132,1),(133,1),(135,1),(174,1),(177,1)}
       106:{1,2,5,6}:{(82,1),(86,1),(128,1),(133,1),(150,1),(202,1)}
       107:{2,4,7}:{(83,1),(84,1),(95,1)}
       108:{3,4,5,7}:{(84,1),(85,1),(96,1),(100,1),(132,1),(135,1),(136,1)}
       109:{1,4,6}:{(85,1),(86,1),(136,1)}
       110:{1,3,5,6,7}:{(86,1),(98,1),(134,1),(137,1),(151,1),(180,1)}
       111:{2,3,5}:{(87,1),(90,1),(139,1)}
       112:{2,4,5}:{(88,1),(140,1),(141,1)}
       113:{2,3,5,6}:{(88,1),(89,1),(93,1),(141,1),(142,1),(146,1)}
       114:{2,3,6,7}:{(89,1),(94,1),(142,1),(180,1)}
       115:{1,2,3,6}:{(90,1),(129,1),(138,1),(143,1),(206,1)}
       116:{2,3,4,6}:{(90,1),(91,1),(95,1),(130,1),(139,1),(143,1),(144,1),(178,1)}
       117:{1,3,4,6}:{(91,1),(131,1),(143,1),(145,1),(179,1),(182,1),(185,1),(206,1)}
       118:{3,5}:{(91,1),(92,1)}
       119:{1,2,4,5,6}:{(92,1),(93,1),(97,1),(133,1),(141,1),(146,1),(147,1),(148,1),(173,1),(185,1),(187,1),(202,1)}
       120:{1,2,5,7}:{(93,1),(94,1),(98,1),(142,1)}
       121:{2,4,5}:{(95,1),(96,1),(144,1)}
       122:{3,4,5,6}:{(96,1),(97,1),(136,1),(146,1),(148,1),(149,1)}
       123:{1,4,5,7}:{(97,1),(98,1),(137,1),(149,1)}
       124:{2,5,7}:{(99,1),(100,1),(150,1)}
       125:{3,5,6}:{(100,1),(101,1),(136,1),(150,1)}
       126:{1,4,5,6,7}:{(101,1),(137,1),(151,1)}
       127:{2,4,5,7}:{(102,1),(112,1),(152,1),(153,1),(166,1)}
       128:{2,3,5,6}:{(102,1),(106,1),(153,1),(158,1),(190,1)}
       129:{1,2,3,7}:{(103,1),(115,1),(155,1),(209,1)}
       130:{2,3,4,7}:{(103,1),(104,1),(107,1),(116,1),(155,1),(156,1)}
       131:{1,3,4,7}:{(104,1),(117,1),(155,1),(157,1),(200,1),(209,1)}
       132:{3,5,7}:{(104,1),(105,1),(118,1),(158,1)}
       133:{1,2,4,6}:{(105,1),(106,1),(109,1),(153,1),(158,1),(160,1),(192,1),(194,1)}
       134:{1,2,5,6,7}:{(106,1),(110,1),(120,1),(154,1),(159,1),(172,1),(208,1)}
       135:{2,4,5,7}:{(107,1),(108,1),(121,1),(124,1),(156,1),(160,1)}
       136:{3,4,6}:{(108,1),(109,1),(125,1),(158,1),(160,1)}
       137:{1,4,6,7}:{(109,1),(110,1),(123,1),(161,1)}
       138:{1,2,3,5}:{(111,1),(115,1),(162,1),(167,1),(197,1)}
       139:{2,3,4}:{(111,1),(162,1)}
       140:{3,4,5}:{(112,1),(118,1),(164,1),(165,1)}
       141:{2,4,6}:{(112,1),(113,1),(165,1),(166,1)}
       142:{2,3,5,7}:{(113,1),(114,1),(120,1),(166,1),(170,1)}
       143:{1,2,4,6}:{(115,1),(116,1),(117,1),(155,1),(162,1),(167,1),(194,1)}
       144:{2,3,5}:{(116,1),(118,1),(121,1),(167,1)}
       145:{1,3,5}:{(117,1),(118,1),(164,1),(167,1)}
       146:{3,5,6}:{(118,1),(119,1),(158,1),(165,1),(170,1)}
       147:{1,2,4,5,7}:{(119,1),(120,1),(123,1),(159,1),(166,1),(170,1),(171,1),(191,1),(200,1),(201,1),(208,1)}
       148:{2,4,5,6}:{(121,1),(122,1),(160,1),(168,1),(171,1)}
       149:{3,4,5,7}:{(122,1),(123,1),(161,1),(170,1),(171,1)}
       150:{2,5,6}:{(124,1),(125,1),(160,1)}
       151:{3,5,6,7}:{(125,1),(126,1),(161,1),(172,1)}
       152:{3,4,5,7}:{(127,1),(132,1),(140,1),(174,1),(175,1),(186,1),(203,1)}
       153:{2,4,6}:{(127,1),(128,1),(175,1)}
       154:{2,3,5,6,7}:{(128,1),(134,1),(142,1),(176,1),(180,1),(203,1)}
       155:{1,2,4,7}:{(129,1),(130,1),(131,1),(143,1),(177,1)}
       156:{2,3,5,7}:{(130,1),(132,1),(135,1),(144,1),(177,1),(178,1)}
       157:{1,3,5,7}:{(131,1),(132,1),(145,1),(174,1),(177,1),(179,1)}
       158:{3,6}:{(132,1),(133,1)}
       159:{1,2,4,6,7}:{(133,1),(134,1),(137,1),(147,1),(176,1),(180,1),(181,1),(204,1),(205,1)}
       160:{2,4,6}:{(135,1),(136,1),(150,1),(178,1)}
       161:{3,4,6,7}:{(136,1),(137,1),(149,1),(151,1),(180,1),(181,1)}
       162:{1,2,4}:{(138,1),(139,1),(182,1)}
       163:{2,3,4,5}:{(139,1),(140,1),(144,1),(183,1),(184,1)}
       164:{1,4,5}:{(140,1),(145,1),(185,1)}
       165:{3,4,6}:{(140,1),(141,1),(146,1),(185,1),(186,1)}
       166:{2,4,7}:{(141,1),(142,1),(186,1)}
       167:{1,2,5}:{(143,1),(144,1),(145,1)}
       168:{2,3,5,6}:{(144,1),(146,1),(148,1),(178,1),(184,1),(187,1),(188,1)}
       169:{1,3,5,6}:{(145,1),(146,1),(179,1),(185,1),(187,1),(189,1),(202,1),(206,1)}
       170:{3,5,7}:{(146,1),(147,1),(180,1),(186,1)}
       171:{2,4,5,7}:{(148,1),(149,1),(181,1),(188,1)}
       172:{2,5,6,7}:{(150,1),(151,1),(181,1)}
       173:{2,4,5,6}:{(153,1),(190,1),(191,1)}
       174:{1,4,5,7}:{(152,1),(157,1),(164,1),(192,1),(200,1),(208,1)}
       175:{3,4,6}:{(152,1),(153,1),(158,1),(190,1),(192,1)}
       176:{2,4,6,7}:{(153,1),(154,1),(166,1),(191,1),(193,1)}
       177:{1,2,5,7}:{(155,1),(156,1),(157,1),(167,1),(194,1)}
       178:{2,3,6}:{(156,1),(158,1),(160,1),(194,1)}
       179:{1,3,6}:{(157,1),(158,1),(192,1),(194,1)}
       180:{3,6,7}:{(158,1),(159,1),(170,1)}
       181:{2,4,6,7}:{(160,1),(161,1),(171,1),(172,1),(195,1)}
       182:{1,3,4}:{(162,1),(197,1)}
       183:{1,2,4,5}:{(162,1),(163,1),(164,1),(167,1),(197,1),(198,1)}
       184:{2,3,4,6}:{(163,1),(165,1),(168,1),(198,1),(199,1)}
       185:{1,4,6}:{(164,1),(165,1),(169,1),(200,1)}
       186:{3,4,7}:{(165,1),(166,1),(170,1),(200,1)}
       187:{1,2,5,6}:{(167,1),(168,1),(169,1),(194,1),(198,1),(201,1)}
       188:{2,3,5,7}:{(168,1),(170,1),(171,1),(195,1),(199,1),(201,1)}
       189:{1,3,5,7}:{(169,1),(170,1),(196,1),(200,1),(201,1),(208,1),(209,1)}
       190:{3,5,6}:{(173,1),(175,1),(202,1),(203,1)}
       191:{2,4,5,7}:{(173,1),(176,1),(203,1)}
       192:{1,4,6}:{(174,1),(175,1),(179,1),(202,1)}
       193:{3,4,6,7}:{(175,1),(176,1),(180,1),(186,1),(203,1),(204,1)}
       194:{1,2,6}:{(177,1),(178,1),(179,1)}
       195:{2,3,6,7}:{(178,1),(180,1),(181,1),(188,1),(205,1)}
       196:{1,3,6,7}:{(179,1),(180,1),(189,1),(204,1),(205,1)}
       197:{1,3,5}:{(182,1),(183,1),(206,1)}
       198:{1,2,4,6}:{(183,1),(184,1),(185,1),(187,1),(206,1),(207,1)}
       199:{2,3,4,7}:{(184,1),(186,1),(188,1),(207,1)}
       200:{1,4,7}:{(185,1),(186,1),(189,1)}
       201:{1,2,5,7}:{(187,1),(188,1),(189,1),(205,1),(207,1)}
       202:{1,5,6}:{(190,1),(192,1),(208,1)}
       203:{3,5,7}:{(190,1),(191,1),(193,1),(208,1)}
       204:{1,4,6,7}:{(192,1),(193,1),(196,1),(200,1),(208,1)}
       205:{1,2,6,7}:{(194,1),(195,1),(196,1),(201,1)}
       206:{1,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,2,4,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       208:{1,5,7}:{(202,1),(203,1),(204,1)}
       209:{1,3,7}:{(206,1),(207,1)}

1788 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(41,1),(90,1),(100,1),(103,1),(144,1),(153,1),(160,1)}
         1:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(26,1),(29,1),(69,1),(72,1),(75,1)}
         2:{2,3,4,6}:{(0,1),(6,1),(7,1),(76,1),(169,1),(177,1),(183,1)}
         3:{1,3,4,5,7}:{(10,1),(11,1),(15,1),(40,1),(52,1),(99,1),(145,1),(148,1),(153,1),(191,1)}
         4:{2,3,4,6,7}:{(2,1),(13,1),(14,1),(20,1),(57,1),(100,1),(110,1)}
         5:{1,3,5,7}:{(1,1),(15,1),(16,1),(52,1),(153,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(53,1)}
         7:{2,3,5,6}:{(2,1),(14,1),(17,1),(18,1),(54,1),(90,1),(164,1)}
         8:{2,3,5,6,7}:{(14,1),(19,1),(20,1),(21,1),(57,1),(143,1)}
         9:{2,4,5,6,7}:{(20,1),(21,1),(186,1)}
        10:{1,2,4,5,7}:{(3,1),(23,1),(24,1),(26,1),(61,1),(69,1),(116,1),(119,1)}
        11:{1,3,4,6}:{(3,1),(24,1),(25,1),(120,1),(129,1),(177,1),(203,1)}
        12:{1,2,3,5,7}:{(5,1),(23,1),(26,1),(27,1),(69,1)}
        13:{1,2,4,6,7}:{(4,1),(6,1),(28,1),(29,1),(72,1)}
        14:{2,3,5,7}:{(4,1),(7,1),(29,1),(30,1),(73,1),(139,1)}
        15:{1,3,4,7}:{(5,1),(26,1),(31,1),(72,1),(125,1)}
        16:{1,3,6}:{(5,1),(6,1),(177,1)}
        17:{1,2,5,6}:{(6,1),(7,1),(29,1),(32,1),(69,1)}
        18:{2,4,5,6}:{(7,1),(30,1),(34,1),(119,1),(169,1)}
        19:{1,2,5,6,7}:{(8,1),(29,1),(35,1),(36,1),(38,1),(123,1),(139,1)}
        20:{2,4,6,7}:{(8,1),(30,1),(37,1),(169,1)}
        21:{3,5,6,7}:{(9,1),(37,1),(38,1),(201,1)}
        22:{1,3,4,6,7}:{(11,1),(39,1),(40,1),(85,1),(141,1),(145,1),(188,1)}
        23:{2,3,5,7}:{(10,1),(41,1),(42,1),(90,1),(153,1)}
        24:{1,2,4,6}:{(10,1),(11,1),(42,1),(43,1),(91,1)}
        25:{1,3,5,6}:{(11,1),(40,1),(43,1),(44,1),(52,1),(92,1),(208,1)}
        26:{1,2,4,7}:{(12,1),(15,1),(41,1),(46,1)}
        27:{1,2,3,6}:{(12,1),(16,1),(42,1),(46,1)}
        28:{1,3,6,7}:{(13,1),(16,1),(49,1),(57,1)}
        29:{1,2,5,7}:{(13,1),(14,1),(17,1),(49,1)}
        30:{2,4,5,7}:{(14,1),(18,1),(20,1),(51,1)}
        31:{1,3,4,6}:{(15,1),(16,1),(46,1),(52,1),(53,1),(97,1)}
        32:{1,3,5,6}:{(16,1),(17,1),(49,1),(52,1),(53,1),(54,1)}
        33:{1,2,4,5,6}:{(17,1),(18,1),(50,1),(53,1),(54,1),(55,1),(96,1),(105,1),(106,1),(108,1),(152,1),(164,1)}
        34:{3,4,5,6}:{(18,1),(51,1),(54,1),(55,1),(148,1),(190,1)}
        35:{1,3,5,6,7}:{(19,1),(49,1),(56,1),(57,1),(98,1),(109,1)}
        36:{1,2,4,6,7}:{(19,1),(20,1),(50,1),(56,1),(57,1),(58,1),(110,1),(111,1),(152,1)}
        37:{3,4,6,7}:{(20,1),(21,1),(51,1),(57,1),(58,1),(190,1)}
        38:{1,5,6,7}:{(21,1),(58,1),(208,1)}
        39:{1,2,4,6,7}:{(22,1),(24,1),(60,1),(61,1),(116,1)}
        40:{1,3,5,7}:{(22,1),(25,1),(61,1),(62,1),(117,1),(202,1)}
        41:{2,3,4,7}:{(23,1),(26,1),(63,1),(116,1),(125,1)}
        42:{2,3,6}:{(23,1),(24,1),(177,1)}
        43:{1,2,5,6}:{(24,1),(25,1),(61,1),(64,1),(69,1)}
        44:{1,4,5,6}:{(25,1),(62,1),(66,1),(75,1),(129,1)}
        45:{1,2,3,6,7}:{(27,1),(28,1),(60,1),(67,1),(68,1),(83,1),(167,1),(177,1),(206,1)}
        46:{1,2,4,6}:{(26,1),(27,1),(31,1),(63,1),(69,1)}
        47:{1,2,3,5,6}:{(27,1),(32,1),(64,1),(68,1),(69,1),(70,1),(78,1),(121,1),(123,1),(126,1),(177,1),(181,1),(182,1),(206,1)}
        48:{1,3,4,6,7}:{(28,1),(31,1),(67,1),(71,1),(72,1),(81,1),(125,1),(129,1),(177,1)}
        49:{1,3,5,7}:{(28,1),(29,1),(32,1),(72,1),(73,1)}
        50:{1,2,4,5,7}:{(29,1),(30,1),(33,1),(36,1),(72,1),(73,1),(74,1),(80,1),(132,1),(133,1),(139,1)}
        51:{3,4,5,7}:{(30,1),(34,1),(37,1),(73,1),(74,1)}
        52:{1,3,5}:{(31,1),(69,1),(75,1),(126,1)}
        53:{1,4,6}:{(32,1),(72,1),(75,1),(76,1)}
        54:{3,5,6}:{(33,1),(73,1),(76,1),(126,1),(177,1)}
        55:{1,4,5,6}:{(34,1),(74,1),(77,1),(174,1),(203,1)}
        56:{1,4,6,7}:{(35,1),(72,1),(80,1),(81,1),(129,1)}
        57:{3,6,7}:{(36,1),(73,1),(177,1)}
        58:{1,4,6,7}:{(37,1),(38,1),(74,1),(82,1),(203,1)}
        59:{1,3,5,6,7}:{(40,1),(84,1),(85,1),(98,1),(107,1),(141,1)}
        60:{2,3,6,7}:{(39,1),(42,1),(87,1),(141,1)}
        61:{1,2,5,7}:{(39,1),(40,1),(43,1),(87,1)}
        62:{1,4,5,7}:{(40,1),(44,1),(85,1),(89,1)}
        63:{2,3,4,6}:{(41,1),(42,1),(46,1),(90,1),(91,1),(97,1)}
        64:{2,3,5,6}:{(42,1),(43,1),(87,1),(90,1),(91,1),(92,1)}
        65:{1,2,4,5,6}:{(43,1),(44,1),(88,1),(91,1),(92,1),(93,1),(96,1),(149,1),(151,1),(152,1),(186,1),(208,1)}
        66:{3,4,5,6}:{(44,1),(89,1),(92,1),(93,1),(103,1),(159,1)}
        67:{1,2,4,6,7}:{(45,1),(46,1),(48,1),(86,1),(94,1),(95,1),(110,1),(152,1),(188,1)}
        68:{1,2,3,5,7}:{(45,1),(47,1),(49,1),(87,1),(94,1),(95,1),(102,1),(146,1),(153,1),(197,1),(198,1)}
        69:{1,2,5}:{(46,1),(52,1),(90,1)}
        70:{1,2,4,6}:{(47,1),(53,1),(91,1),(95,1),(96,1),(97,1),(105,1),(149,1)}
        71:{1,3,5,7}:{(48,1),(52,1),(94,1),(98,1),(99,1),(109,1),(153,1)}
        72:{1,4,7}:{(49,1),(53,1),(100,1)}
        73:{3,5,7}:{(50,1),(54,1),(57,1),(100,1)}
        74:{1,4,5,7}:{(51,1),(55,1),(58,1),(101,1)}
        75:{1,4,5}:{(52,1),(53,1),(103,1)}
        76:{3,4,6}:{(53,1),(54,1),(100,1),(103,1),(105,1)}
        77:{1,3,5,6}:{(54,1),(55,1),(101,1),(104,1),(106,1),(156,1),(195,1)}
        78:{2,3,5,6}:{(54,1),(102,1),(105,1),(106,1),(157,1),(163,1),(164,1),(196,1)}
        79:{1,4,5,6,7}:{(85,1),(107,1),(108,1)}
        80:{1,4,5,7}:{(56,1),(108,1),(109,1)}
        81:{3,4,6,7}:{(56,1),(57,1),(100,1),(109,1),(110,1),(159,1)}
        82:{1,3,6,7}:{(57,1),(58,1),(101,1),(111,1),(195,1)}
        83:{2,3,6,7}:{(57,1),(102,1),(110,1),(111,1),(196,1)}
        84:{1,2,5,6,7}:{(59,1),(61,1),(112,1),(113,1),(123,1),(137,1),(202,1)}
        85:{1,4,6,7}:{(59,1),(62,1),(114,1),(129,1)}
        86:{2,3,4,6,7}:{(60,1),(63,1),(67,1),(115,1),(116,1),(125,1),(166,1),(169,1),(177,1)}
        87:{2,3,5,7}:{(60,1),(61,1),(64,1),(116,1),(117,1)}
        88:{1,2,4,5,7}:{(61,1),(62,1),(65,1),(113,1),(116,1),(117,1),(118,1),(165,1),(171,1),(173,1),(202,1)}
        89:{3,4,5,7}:{(62,1),(66,1),(114,1),(117,1),(118,1)}
        90:{2,3,5}:{(63,1),(69,1),(119,1),(126,1)}
        91:{2,4,6}:{(64,1),(116,1),(119,1),(120,1)}
        92:{3,5,6}:{(65,1),(117,1),(120,1),(126,1),(177,1)}
        93:{2,4,5,6}:{(66,1),(118,1),(122,1),(135,1),(183,1)}
        94:{1,2,5,7}:{(67,1),(69,1),(71,1),(115,1),(123,1),(139,1),(202,1)}
        95:{1,2,4,7}:{(68,1),(70,1),(72,1),(116,1),(125,1),(132,1),(171,1)}
        96:{1,2,4,5}:{(69,1),(70,1),(75,1),(119,1),(126,1),(135,1),(174,1),(181,1)}
        97:{3,4,6}:{(70,1),(125,1),(126,1),(177,1)}
        98:{1,3,5,6}:{(71,1),(123,1),(129,1),(138,1),(177,1)}
        99:{1,4,5,7}:{(71,1),(72,1),(75,1),(129,1),(130,1)}
       100:{3,4,7}:{(72,1),(73,1),(76,1),(132,1)}
       101:{1,3,5,7}:{(73,1),(74,1),(77,1),(82,1),(131,1),(133,1)}
       102:{2,3,5,7}:{(73,1),(78,1),(83,1),(132,1),(133,1),(139,1),(184,1)}
       103:{3,4,5}:{(75,1),(76,1),(126,1),(135,1)}
       104:{1,3,4,6}:{(76,1),(77,1),(131,1),(134,1),(136,1)}
       105:{2,4,6}:{(76,1),(78,1),(132,1),(135,1)}
       106:{1,2,5,6}:{(77,1),(78,1),(133,1),(136,1),(181,1),(206,1)}
       107:{3,5,6,7}:{(79,1),(114,1),(137,1),(138,1)}
       108:{1,4,5,6}:{(80,1),(129,1),(138,1)}
       109:{3,5,7}:{(80,1),(81,1),(138,1),(139,1)}
       110:{2,4,6,7}:{(81,1),(83,1),(132,1),(139,1),(183,1)}
       111:{1,2,6,7}:{(82,1),(83,1),(133,1),(206,1)}
       112:{2,3,5,6,7}:{(84,1),(87,1),(140,1),(141,1),(143,1),(187,1)}
       113:{1,2,4,6,7}:{(84,1),(85,1),(88,1),(140,1),(141,1),(142,1),(152,1),(188,1),(189,1)}
       114:{3,4,6,7}:{(85,1),(89,1),(107,1),(141,1),(142,1),(159,1)}
       115:{2,3,5,7}:{(86,1),(90,1),(94,1),(143,1),(144,1),(153,1),(187,1)}
       116:{2,4,7}:{(87,1),(91,1),(145,1)}
       117:{3,5,7}:{(88,1),(92,1),(141,1),(145,1)}
       118:{2,4,5,7}:{(89,1),(93,1),(142,1),(147,1)}
       119:{2,4,5}:{(90,1),(91,1),(148,1)}
       120:{3,4,6}:{(91,1),(92,1),(145,1),(148,1),(149,1)}
       121:{1,3,5,6}:{(92,1),(146,1),(149,1),(151,1),(156,1),(194,1),(195,1),(208,1)}
       122:{2,3,5,6}:{(92,1),(93,1),(147,1),(150,1),(151,1),(157,1),(196,1)}
       123:{1,2,5,6}:{(94,1),(98,1),(143,1),(152,1),(164,1),(208,1)}
       124:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(144,1),(152,1),(153,1),(160,1),(191,1),(197,1)}
       125:{3,4,7}:{(95,1),(97,1),(153,1)}
       126:{3,5}:{(96,1),(97,1)}
       127:{1,3,4,6}:{(97,1),(149,1),(154,1),(156,1),(158,1),(194,1),(195,1),(209,1)}
       128:{2,3,4,6}:{(97,1),(105,1),(155,1),(157,1),(158,1),(163,1),(196,1),(200,1)}
       129:{1,4,6}:{(98,1),(99,1),(159,1)}
       130:{3,4,5,7}:{(99,1),(100,1),(103,1),(109,1),(153,1),(159,1),(160,1)}
       131:{1,3,4,7}:{(100,1),(101,1),(104,1),(161,1)}
       132:{2,4,7}:{(100,1),(102,1),(105,1)}
       133:{1,2,5,7}:{(101,1),(102,1),(106,1),(111,1),(161,1)}
       134:{1,3,4,5}:{(103,1),(104,1),(156,1),(162,1),(209,1)}
       135:{2,4,5}:{(103,1),(105,1),(157,1)}
       136:{1,2,4,6}:{(104,1),(105,1),(106,1),(161,1),(162,1),(163,1)}
       137:{2,5,6,7}:{(107,1),(142,1),(164,1)}
       138:{3,5,6}:{(108,1),(109,1),(159,1),(164,1)}
       139:{2,5,7}:{(109,1),(110,1),(164,1)}
       140:{2,4,6,7}:{(112,1),(116,1),(165,1),(166,1),(169,1)}
       141:{3,6,7}:{(113,1),(117,1),(177,1)}
       142:{2,4,6,7}:{(114,1),(118,1),(137,1),(168,1),(183,1)}
       143:{2,3,5,6}:{(115,1),(123,1),(169,1),(177,1),(201,1)}
       144:{2,4,5,7}:{(115,1),(116,1),(119,1),(169,1),(170,1)}
       145:{3,4,7}:{(116,1),(117,1),(120,1),(171,1)}
       146:{1,3,5,7}:{(117,1),(121,1),(167,1),(171,1),(173,1),(202,1),(204,1)}
       147:{2,3,5,7}:{(117,1),(118,1),(122,1),(168,1),(172,1),(173,1)}
       148:{3,4,5}:{(119,1),(120,1),(126,1),(174,1)}
       149:{1,4,6}:{(120,1),(121,1),(171,1),(174,1)}
       150:{2,3,4,6}:{(120,1),(122,1),(172,1),(175,1),(176,1)}
       151:{1,2,5,6}:{(121,1),(122,1),(173,1),(176,1),(181,1),(206,1)}
       152:{1,2,4,6}:{(123,1),(124,1),(129,1),(169,1),(177,1),(183,1),(203,1),(206,1)}
       153:{3,5,7}:{(124,1),(125,1),(126,1),(177,1)}
       154:{1,3,4,7}:{(125,1),(127,1),(171,1),(178,1),(180,1),(204,1)}
       155:{2,3,4,7}:{(125,1),(128,1),(132,1),(179,1),(180,1),(184,1)}
       156:{1,3,5}:{(126,1),(127,1),(174,1),(181,1)}
       157:{2,3,5}:{(126,1),(128,1),(135,1),(181,1)}
       158:{1,2,4,6}:{(127,1),(128,1),(180,1),(181,1),(182,1),(206,1),(207,1)}
       159:{3,4,6}:{(129,1),(130,1),(138,1),(177,1),(183,1)}
       160:{2,4,5,7}:{(130,1),(132,1),(135,1),(139,1),(179,1),(183,1)}
       161:{1,2,4,7}:{(131,1),(132,1),(133,1),(136,1),(184,1)}
       162:{1,2,4,5}:{(134,1),(135,1),(136,1),(181,1),(185,1),(207,1)}
       163:{2,3,6}:{(136,1),(184,1),(185,1)}
       164:{2,5,6}:{(138,1),(139,1),(183,1)}
       165:{2,4,5,7}:{(140,1),(186,1),(187,1)}
       166:{3,4,6,7}:{(140,1),(141,1),(145,1),(187,1),(188,1),(190,1)}
       167:{1,3,6,7}:{(141,1),(146,1),(188,1),(189,1),(195,1)}
       168:{2,3,6,7}:{(141,1),(142,1),(147,1),(189,1),(196,1)}
       169:{2,4,6}:{(143,1),(144,1),(190,1)}
       170:{3,4,5,7}:{(144,1),(145,1),(148,1),(153,1),(187,1),(190,1),(191,1)}
       171:{1,4,7}:{(145,1),(146,1),(149,1)}
       172:{2,3,4,7}:{(145,1),(147,1),(150,1),(192,1)}
       173:{1,2,5,7}:{(146,1),(147,1),(151,1),(189,1),(192,1)}
       174:{1,4,5}:{(148,1),(149,1),(156,1)}
       175:{2,3,4,5}:{(148,1),(150,1),(157,1),(193,1),(200,1)}
       176:{1,2,4,6}:{(149,1),(150,1),(151,1),(192,1),(193,1),(194,1)}
       177:{3,6}:{(152,1),(153,1)}
       178:{1,3,5,7}:{(153,1),(154,1),(156,1),(191,1),(195,1),(197,1)}
       179:{2,3,5,7}:{(153,1),(155,1),(157,1),(160,1),(196,1),(197,1)}
       180:{1,2,4,7}:{(154,1),(155,1),(158,1),(197,1),(198,1)}
       181:{1,2,5}:{(156,1),(157,1),(158,1)}
       182:{1,2,3,6}:{(158,1),(163,1),(194,1),(198,1),(199,1)}
       183:{2,4,6}:{(159,1),(160,1),(164,1),(196,1)}
       184:{2,3,7}:{(161,1),(163,1)}
       185:{2,3,5}:{(162,1),(163,1),(200,1)}
       186:{2,4,5,6}:{(165,1),(169,1),(201,1)}
       187:{3,5,7}:{(165,1),(166,1),(201,1),(202,1)}
       188:{1,4,6,7}:{(166,1),(167,1),(171,1),(202,1),(203,1)}
       189:{1,2,6,7}:{(167,1),(168,1),(173,1),(206,1)}
       190:{3,4,6}:{(169,1),(170,1),(177,1),(201,1),(203,1)}
       191:{1,4,5,7}:{(170,1),(171,1),(174,1),(178,1),(202,1),(203,1)}
       192:{1,2,4,7}:{(171,1),(172,1),(173,1),(176,1),(204,1)}
       193:{1,2,4,5}:{(174,1),(175,1),(176,1),(181,1),(205,1),(207,1)}
       194:{1,3,6}:{(176,1),(204,1),(205,1)}
       195:{1,3,6}:{(177,1),(178,1),(203,1),(206,1)}
       196:{2,3,6}:{(177,1),(179,1),(183,1),(206,1)}
       197:{1,2,5,7}:{(178,1),(179,1),(180,1),(181,1),(206,1)}
       198:{1,2,3,7}:{(180,1),(182,1),(184,1),(204,1)}
       199:{1,2,3,5}:{(181,1),(182,1),(185,1),(205,1),(207,1)}
       200:{2,3,4}:{(185,1),(207,1)}
       201:{3,5,6}:{(186,1),(187,1),(190,1),(208,1)}
       202:{1,5,7}:{(187,1),(188,1),(208,1)}
       203:{1,4,6}:{(190,1),(191,1),(195,1),(208,1)}
       204:{1,3,7}:{(192,1),(194,1)}
       205:{1,3,5}:{(193,1),(194,1),(209,1)}
       206:{1,2,6}:{(195,1),(196,1),(197,1)}
       207:{1,2,4}:{(199,1),(200,1),(209,1)}
       208:{1,5,6}:{(201,1),(202,1),(203,1)}
       209:{1,3,4}:{(205,1),(207,1)}

1789 :   0:{2,4,5,6,7}:{(1,1),(11,1),(198,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(4,1),(203,1)}
         2:{3,4,5,6}:{(7,1),(8,1),(9,1),(34,1),(167,1),(195,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(10,1),(11,1),(37,1),(195,1)}
         4:{1,5,6,7}:{(1,1),(10,1),(206,1)}
         5:{2,3,5,6,7}:{(1,1),(11,1),(12,1),(30,1),(37,1),(171,1)}
         6:{2,3,4,5,7}:{(13,1),(14,1),(30,1),(65,1),(69,1),(77,1),(112,1),(125,1),(163,1),(170,1)}
         7:{3,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(47,1)}
         8:{1,4,5,6}:{(2,1),(16,1),(18,1),(178,1),(200,1)}
         9:{2,4,5,6}:{(2,1),(17,1),(19,1),(151,1),(187,1)}
        10:{1,4,6,7}:{(3,1),(4,1),(16,1),(21,1),(200,1)}
        11:{2,4,6,7}:{(3,1),(5,1),(17,1),(187,1)}
        12:{1,2,5,6,7}:{(4,1),(5,1),(23,1),(24,1),(46,1),(94,1),(148,1)}
        13:{2,3,4,6}:{(6,1),(19,1),(25,1),(50,1),(140,1),(183,1),(187,1)}
        14:{1,2,4,5,7}:{(6,1),(25,1),(26,1),(46,1),(57,1),(87,1),(91,1),(99,1)}
        15:{1,3,4,5}:{(27,1),(28,1),(69,1),(108,1),(158,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(10,1),(29,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(11,1),(30,1)}
        18:{1,3,5,6}:{(8,1),(27,1),(29,1),(32,1),(34,1),(158,1),(191,1)}
        19:{2,3,5,6}:{(9,1),(13,1),(30,1),(33,1),(34,1),(122,1),(125,1)}
        20:{1,2,4,5,6}:{(8,1),(9,1),(31,1),(32,1),(33,1),(34,1),(67,1),(68,1),(74,1),(116,1),(122,1),(164,1)}
        21:{1,3,6,7}:{(10,1),(29,1),(35,1),(37,1),(191,1)}
        22:{2,3,4,6,7}:{(11,1),(13,1),(30,1),(36,1),(37,1),(65,1),(71,1)}
        23:{1,2,4,6,7}:{(10,1),(11,1),(12,1),(31,1),(35,1),(37,1),(38,1),(71,1),(164,1)}
        24:{1,3,5,6,7}:{(12,1),(37,1),(38,1),(64,1),(73,1),(123,1)}
        25:{1,2,4,6}:{(13,1),(14,1),(33,1),(39,1),(68,1)}
        26:{1,3,5,7}:{(14,1),(39,1),(41,1),(76,1),(163,1)}
        27:{1,3,4,6}:{(15,1),(18,1),(42,1),(43,1),(50,1)}
        28:{1,2,4,5}:{(15,1),(43,1),(44,1),(83,1),(90,1),(133,1)}
        29:{1,3,5,7}:{(16,1),(18,1),(21,1),(42,1),(45,1),(47,1)}
        30:{2,3,5,7}:{(17,1),(19,1),(22,1),(46,1),(47,1),(94,1)}
        31:{1,2,4,5,7}:{(16,1),(17,1),(20,1),(23,1),(45,1),(46,1),(47,1),(54,1),(86,1),(87,1),(94,1)}
        32:{1,2,5,6}:{(18,1),(43,1),(45,1),(48,1),(133,1),(176,1)}
        33:{1,2,5,6}:{(19,1),(25,1),(46,1),(49,1),(99,1)}
        34:{3,5,6}:{(20,1),(47,1),(50,1),(143,1),(183,1)}
        35:{1,2,6,7}:{(21,1),(45,1),(51,1),(176,1)}
        36:{1,2,4,6,7}:{(22,1),(25,1),(46,1),(52,1),(87,1)}
        37:{3,6,7}:{(23,1),(47,1),(183,1)}
        38:{1,4,6,7}:{(24,1),(53,1),(54,1),(87,1),(141,1)}
        39:{1,3,6}:{(25,1),(26,1),(183,1)}
        40:{1,2,3,5,7}:{(26,1),(55,1),(57,1),(99,1),(101,1)}
        41:{1,3,4,7}:{(26,1),(56,1),(57,1),(87,1),(138,1)}
        42:{1,3,4,7}:{(27,1),(29,1),(59,1),(65,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(32,1),(59,1),(60,1),(67,1)}
        44:{2,3,5}:{(28,1),(60,1),(62,1)}
        45:{1,2,5,7}:{(29,1),(32,1),(35,1),(59,1),(63,1)}
        46:{1,2,5,7}:{(30,1),(33,1),(36,1),(64,1)}
        47:{3,5,7}:{(31,1),(34,1),(37,1),(65,1)}
        48:{2,3,5,6}:{(32,1),(34,1),(60,1),(63,1),(67,1),(107,1),(122,1),(157,1)}
        49:{1,3,5,6}:{(33,1),(34,1),(39,1),(64,1),(68,1),(76,1)}
        50:{3,4,6}:{(34,1),(65,1),(67,1),(68,1),(69,1)}
        51:{2,3,6,7}:{(35,1),(37,1),(63,1),(71,1),(157,1)}
        52:{1,3,6,7}:{(36,1),(37,1),(39,1),(64,1)}
        53:{3,4,6,7}:{(37,1),(38,1),(65,1),(71,1),(73,1),(114,1)}
        54:{1,4,5,7}:{(38,1),(73,1),(74,1)}
        55:{1,2,3,6}:{(39,1),(40,1),(75,1),(128,1)}
        56:{1,3,4,6}:{(39,1),(41,1),(68,1),(75,1),(76,1),(115,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(75,1),(77,1)}
        58:{1,3,4,5,7}:{(41,1),(76,1),(78,1),(79,1),(113,1),(127,1),(163,1),(167,1),(190,1),(197,1)}
        59:{1,2,4,7}:{(42,1),(43,1),(45,1),(80,1),(86,1)}
        60:{2,3,6}:{(43,1),(44,1),(80,1)}
        61:{1,2,3,5}:{(44,1),(81,1),(83,1),(133,1),(135,1)}
        62:{2,3,4}:{(44,1),(83,1)}
        63:{2,3,5,7}:{(45,1),(47,1),(48,1),(51,1),(80,1),(86,1),(94,1)}
        64:{1,3,5,7}:{(46,1),(47,1),(49,1),(52,1),(87,1)}
        65:{3,4,7}:{(47,1),(50,1),(86,1),(87,1)}
        66:{1,2,3,5,6}:{(48,1),(49,1),(55,1),(81,1),(85,1),(89,1),(99,1),(133,1),(143,1),(148,1),(152,1),(176,1),(179,1),(183,1)}
        67:{2,4,6}:{(48,1),(50,1),(86,1),(90,1)}
        68:{1,4,6}:{(49,1),(50,1),(87,1),(91,1)}
        69:{3,4,5}:{(50,1),(90,1),(91,1),(143,1)}
        70:{1,2,3,6,7}:{(51,1),(52,1),(55,1),(85,1),(93,1),(154,1),(176,1),(183,1),(201,1)}
        71:{2,4,6,7}:{(51,1),(53,1),(86,1),(94,1),(140,1)}
        72:{1,3,4,6,7}:{(52,1),(53,1),(56,1),(87,1),(93,1),(95,1),(138,1),(141,1),(183,1)}
        73:{3,5,7}:{(53,1),(54,1),(94,1),(96,1)}
        74:{1,4,5,6}:{(54,1),(96,1),(141,1)}
        75:{1,2,4,6}:{(55,1),(56,1),(57,1),(98,1),(99,1)}
        76:{1,3,5}:{(56,1),(91,1),(99,1),(143,1)}
        77:{2,3,4,7}:{(57,1),(98,1),(101,1),(138,1),(189,1)}
        78:{1,2,4,5,7}:{(57,1),(58,1),(99,1),(101,1),(102,1),(151,1),(153,1),(189,1)}
        79:{1,3,4,6}:{(58,1),(100,1),(102,1),(141,1),(183,1),(185,1),(200,1)}
        80:{2,3,7}:{(59,1),(60,1)}
        81:{1,2,3,6}:{(60,1),(61,1),(104,1),(106,1),(161,1)}
        82:{2,3,4,6}:{(60,1),(62,1),(67,1),(105,1),(106,1),(107,1),(115,1),(157,1)}
        83:{1,2,4}:{(61,1),(62,1),(108,1)}
        84:{2,3,4,5}:{(62,1),(107,1),(109,1),(110,1),(167,1)}
        85:{1,2,3,5,7}:{(63,1),(64,1),(66,1),(70,1),(104,1),(111,1),(121,1),(156,1),(163,1),(174,1),(194,1)}
        86:{2,4,7}:{(63,1),(65,1),(67,1)}
        87:{1,4,7}:{(64,1),(65,1),(68,1)}
        88:{3,4,5,7}:{(65,1),(69,1),(73,1),(112,1),(113,1),(114,1),(163,1)}
        89:{1,2,4,6}:{(66,1),(67,1),(68,1),(111,1),(115,1),(116,1),(173,1),(193,1)}
        90:{2,4,5}:{(67,1),(69,1),(107,1)}
        91:{1,4,5}:{(68,1),(69,1),(76,1)}
        92:{3,4,5,6}:{(69,1),(114,1),(117,1),(118,1),(119,1),(168,1)}
        93:{1,2,4,6,7}:{(70,1),(71,1),(72,1),(75,1),(111,1),(120,1),(121,1),(164,1),(207,1)}
        94:{2,5,7}:{(71,1),(73,1),(122,1)}
        95:{1,3,5,7}:{(72,1),(73,1),(76,1),(113,1),(121,1),(123,1),(163,1)}
        96:{3,5,6}:{(73,1),(74,1),(114,1),(122,1)}
        97:{1,4,5,6,7}:{(74,1),(124,1),(166,1)}
        98:{2,3,4,6}:{(75,1),(77,1),(115,1),(125,1),(128,1),(173,1)}
        99:{1,2,5}:{(75,1),(76,1),(125,1)}
       100:{1,3,5,6}:{(76,1),(79,1),(118,1),(126,1),(127,1),(168,1),(206,1)}
       101:{2,3,5,7}:{(77,1),(78,1),(125,1),(128,1),(163,1)}
       102:{1,2,4,6}:{(78,1),(79,1),(126,1),(128,1),(173,1)}
       103:{1,3,4,6,7}:{(79,1),(127,1),(129,1),(166,1),(196,1),(197,1),(207,1)}
       104:{1,2,3,7}:{(80,1),(81,1),(130,1),(181,1)}
       105:{2,3,4,7}:{(80,1),(82,1),(86,1),(130,1),(131,1),(138,1)}
       106:{1,2,4,6}:{(81,1),(82,1),(83,1),(130,1),(132,1),(133,1),(176,1)}
       107:{2,3,5}:{(82,1),(90,1),(133,1),(143,1)}
       108:{1,3,4}:{(83,1),(135,1)}
       109:{1,2,4,5}:{(83,1),(84,1),(133,1),(135,1),(136,1),(178,1)}
       110:{2,3,4,6}:{(84,1),(134,1),(136,1),(137,1),(185,1)}
       111:{1,2,4,7}:{(85,1),(86,1),(87,1),(89,1),(138,1),(189,1),(202,1)}
       112:{2,4,5,7}:{(86,1),(88,1),(90,1),(94,1),(131,1),(140,1)}
       113:{1,4,5,7}:{(87,1),(88,1),(91,1),(95,1),(141,1)}
       114:{3,4,6}:{(88,1),(96,1),(140,1),(141,1),(183,1)}
       115:{3,4,6}:{(89,1),(138,1),(143,1),(183,1)}
       116:{1,2,4,5}:{(89,1),(90,1),(91,1),(99,1),(133,1),(143,1),(151,1),(178,1)}
       117:{2,4,5,6}:{(90,1),(92,1),(134,1),(140,1),(145,1)}
       118:{1,4,5,6}:{(91,1),(92,1),(100,1),(141,1),(146,1)}
       119:{3,4,5,7}:{(92,1),(142,1),(145,1),(146,1),(186,1)}
       120:{2,3,4,6,7}:{(93,1),(98,1),(138,1),(147,1),(154,1),(183,1),(187,1),(189,1),(204,1)}
       121:{1,2,5,7}:{(93,1),(94,1),(95,1),(99,1),(147,1),(148,1),(209,1)}
       122:{2,5,6}:{(94,1),(96,1),(140,1)}
       123:{1,3,5,6}:{(95,1),(96,1),(141,1),(148,1),(183,1)}
       124:{3,5,6,7}:{(96,1),(97,1),(142,1),(149,1)}
       125:{2,3,5}:{(98,1),(99,1),(143,1),(151,1)}
       126:{1,2,5,6}:{(99,1),(100,1),(102,1),(152,1),(153,1)}
       127:{1,3,5,7}:{(100,1),(103,1),(146,1),(153,1),(186,1),(209,1)}
       128:{2,3,6}:{(101,1),(102,1),(183,1)}
       129:{1,2,4,6,7}:{(102,1),(103,1),(153,1),(154,1),(189,1)}
       130:{1,2,4,7}:{(104,1),(105,1),(106,1),(155,1),(156,1)}
       131:{2,3,5,7}:{(105,1),(107,1),(112,1),(156,1),(157,1),(163,1)}
       132:{1,3,4,6}:{(106,1),(108,1),(115,1),(155,1),(158,1),(161,1),(191,1),(193,1)}
       133:{1,2,5}:{(106,1),(107,1),(158,1)}
       134:{2,3,5,6}:{(107,1),(110,1),(117,1),(157,1),(159,1),(160,1),(168,1)}
       135:{1,3,5}:{(108,1),(109,1),(161,1)}
       136:{1,2,4,6}:{(109,1),(110,1),(159,1),(161,1),(162,1),(193,1)}
       137:{2,3,4,7}:{(110,1),(160,1),(162,1),(197,1)}
       138:{3,4,7}:{(111,1),(115,1),(163,1)}
       139:{1,2,4,5,7}:{(111,1),(112,1),(113,1),(116,1),(121,1),(156,1),(163,1),(164,1),(170,1),(190,1)}
       140:{2,4,6}:{(112,1),(114,1),(122,1),(157,1)}
       141:{1,4,6}:{(113,1),(114,1),(123,1)}
       142:{3,4,6,7}:{(114,1),(119,1),(124,1),(165,1),(166,1),(196,1)}
       143:{3,5}:{(115,1),(116,1)}
       144:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(126,1),(159,1),(164,1),(168,1),(169,1),(173,1),(193,1),(198,1),(206,1)}
       145:{2,4,5,7}:{(117,1),(119,1),(160,1),(165,1)}
       146:{1,4,5,7}:{(118,1),(119,1),(127,1),(166,1)}
       147:{2,3,5,7}:{(120,1),(121,1),(125,1),(163,1),(170,1),(171,1),(208,1)}
       148:{1,2,5,6}:{(121,1),(122,1),(123,1),(164,1),(171,1),(206,1)}
       149:{2,5,6,7}:{(122,1),(124,1),(165,1)}
       150:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(166,1),(172,1),(196,1)}
       151:{2,4,5}:{(125,1),(167,1),(173,1)}
       152:{2,3,5,6}:{(125,1),(126,1),(128,1),(168,1),(173,1),(174,1)}
       153:{1,2,5,7}:{(126,1),(127,1),(129,1),(174,1)}
       154:{2,3,6,7}:{(128,1),(129,1),(174,1),(196,1)}
       155:{1,3,4,7}:{(130,1),(132,1),(138,1),(175,1),(181,1),(202,1)}
       156:{1,2,5,7}:{(130,1),(131,1),(133,1),(175,1),(176,1)}
       157:{2,3,6}:{(131,1),(140,1),(176,1),(183,1)}
       158:{1,3,5}:{(132,1),(133,1),(143,1),(178,1)}
       159:{1,2,5,6}:{(133,1),(134,1),(136,1),(176,1),(179,1),(180,1)}
       160:{2,3,5,7}:{(134,1),(137,1),(145,1),(177,1),(180,1),(186,1)}
       161:{1,3,6}:{(135,1),(136,1),(181,1)}
       162:{1,2,4,7}:{(136,1),(137,1),(180,1),(181,1),(202,1)}
       163:{3,5,7}:{(138,1),(139,1),(143,1),(183,1)}
       164:{1,2,4,6}:{(139,1),(140,1),(141,1),(148,1),(176,1),(183,1),(187,1),(200,1)}
       165:{2,4,6,7}:{(140,1),(142,1),(145,1),(149,1),(177,1)}
       166:{1,4,6,7}:{(141,1),(142,1),(146,1),(150,1)}
       167:{3,4,5}:{(143,1),(151,1),(178,1),(185,1)}
       168:{3,5,6}:{(143,1),(144,1),(183,1),(185,1),(186,1)}
       169:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(153,1),(180,1),(184,1),(186,1),(189,1),(202,1),(205,1),(209,1)}
       170:{2,4,5,7}:{(147,1),(151,1),(182,1),(187,1),(189,1)}
       171:{2,3,5,6}:{(147,1),(148,1),(183,1),(187,1),(203,1)}
       172:{1,2,5,6,7}:{(148,1),(149,1),(150,1),(153,1),(184,1),(188,1),(209,1)}
       173:{2,4,6}:{(151,1),(152,1),(185,1),(189,1)}
       174:{2,3,5,7}:{(152,1),(153,1),(154,1),(186,1),(189,1)}
       175:{1,3,5,7}:{(155,1),(156,1),(158,1),(163,1),(190,1),(191,1)}
       176:{1,2,6}:{(156,1),(157,1),(191,1)}
       177:{2,3,6,7}:{(157,1),(160,1),(165,1),(192,1),(196,1)}
       178:{1,4,5}:{(158,1),(167,1),(193,1)}
       179:{1,3,5,6}:{(158,1),(159,1),(161,1),(168,1),(191,1),(193,1),(194,1),(206,1)}
       180:{1,2,5,7}:{(159,1),(160,1),(162,1),(192,1),(194,1)}
       181:{1,3,7}:{(161,1),(162,1)}
       182:{3,4,5,7}:{(163,1),(167,1),(170,1),(190,1),(195,1),(197,1),(208,1)}
       183:{3,6}:{(163,1),(164,1)}
       184:{1,2,4,6,7}:{(164,1),(165,1),(166,1),(169,1),(172,1),(192,1),(196,1),(199,1),(207,1)}
       185:{3,4,6}:{(167,1),(168,1),(173,1),(193,1),(197,1)}
       186:{3,5,7}:{(168,1),(169,1),(196,1),(197,1)}
       187:{2,4,6}:{(170,1),(171,1),(195,1)}
       188:{2,3,5,6,7}:{(171,1),(172,1),(174,1),(196,1),(199,1),(208,1)}
       189:{2,4,7}:{(173,1),(174,1),(197,1)}
       190:{1,4,5,7}:{(175,1),(178,1),(182,1),(200,1),(202,1),(209,1)}
       191:{1,3,6}:{(175,1),(176,1),(183,1),(200,1)}
       192:{1,2,6,7}:{(176,1),(177,1),(180,1),(201,1)}
       193:{1,4,6}:{(178,1),(179,1),(185,1),(202,1)}
       194:{1,3,5,7}:{(179,1),(180,1),(181,1),(186,1),(201,1),(202,1),(209,1)}
       195:{3,4,6}:{(182,1),(183,1),(187,1),(200,1),(203,1)}
       196:{3,6,7}:{(183,1),(184,1),(186,1)}
       197:{3,4,7}:{(185,1),(186,1),(189,1),(202,1)}
       198:{2,4,5,6}:{(187,1),(203,1),(205,1)}
       199:{2,4,6,7}:{(187,1),(188,1),(189,1),(204,1),(205,1)}
       200:{1,4,6}:{(190,1),(191,1),(195,1),(206,1)}
       201:{1,3,6,7}:{(191,1),(192,1),(194,1),(196,1),(207,1)}
       202:{1,4,7}:{(193,1),(194,1),(197,1)}
       203:{3,5,6}:{(195,1),(198,1),(206,1),(208,1)}
       204:{3,4,6,7}:{(195,1),(196,1),(197,1),(199,1),(207,1),(208,1)}
       205:{2,4,5,7}:{(198,1),(199,1),(208,1)}
       206:{1,5,6}:{(200,1),(203,1),(209,1)}
       207:{1,4,6,7}:{(200,1),(201,1),(202,1),(204,1),(209,1)}
       208:{3,5,7}:{(203,1),(204,1),(205,1),(209,1)}
       209:{1,5,7}:{(206,1),(207,1),(208,1)}

1790 :   0:{1,2,3,6,7}:{(2,1),(3,1),(33,1),(46,1),(81,1),(82,1),(83,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(4,1),(13,1),(17,1),(34,1),(46,1),(49,1),(82,1),(98,1),(104,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(24,1),(27,1),(50,1),(63,1),(90,1),(91,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(8,1),(28,1),(52,1),(67,1),(94,1),(95,1),(103,1)}
         4:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(27,1),(53,1),(58,1)}
         5:{1,2,3,5,6}:{(2,1),(11,1),(15,1),(33,1),(36,1),(46,1),(72,1),(73,1),(74,1),(81,1)}
         6:{1,3,4,6,7}:{(3,1),(12,1),(13,1),(35,1),(41,1),(46,1),(80,1),(83,1),(99,1),(104,1)}
         7:{1,2,4,7}:{(2,1),(11,1),(13,1),(68,1),(98,1),(99,1)}
         8:{1,2,5,7}:{(3,1),(4,1),(12,1),(15,1),(72,1),(76,1),(101,1)}
         9:{2,4,5,7}:{(4,1),(16,1),(17,1),(69,1),(98,1)}
        10:{2,3,5,6}:{(4,1),(15,1),(17,1),(38,1),(46,1)}
        11:{1,2,4,6}:{(5,1),(7,1),(19,1),(20,1),(86,1),(87,1)}
        12:{1,3,5,7}:{(6,1),(8,1),(22,1),(23,1),(27,1),(54,1),(93,1)}
        13:{3,4,7}:{(7,1),(19,1),(27,1),(84,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(20,1),(22,1),(27,1),(28,1),(30,1),(60,1),(63,1),(85,1),(103,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(23,1),(28,1),(57,1),(92,1)}
        16:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(51,1),(58,1),(88,1)}
        17:{2,4,6}:{(9,1),(10,1),(31,1)}
        18:{2,3,5,6,7}:{(10,1),(29,1),(32,1),(58,1),(66,1),(90,1)}
        19:{3,4,6}:{(11,1),(13,1),(36,1),(46,1)}
        20:{1,2,4,5}:{(11,1),(36,1),(69,1),(70,1),(72,1)}
        21:{2,4,5,6}:{(17,1),(38,1),(39,1)}
        22:{1,4,5,7}:{(12,1),(40,1),(41,1),(70,1),(99,1)}
        23:{1,3,5,6}:{(12,1),(15,1),(41,1),(46,1),(77,1)}
        24:{1,2,3,7}:{(33,1),(43,1),(104,1)}
        25:{2,3,4,7}:{(13,1),(34,1),(43,1),(44,1),(98,1),(104,1)}
        26:{1,3,4,7}:{(13,1),(35,1),(43,1),(45,1),(99,1),(104,1)}
        27:{3,5,7}:{(13,1),(14,1),(36,1),(46,1),(96,1),(104,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(17,1),(41,1),(46,1),(48,1),(79,1),(81,1)}
        29:{1,2,5,6,7}:{(15,1),(18,1),(42,1),(47,1),(76,1),(100,1),(101,1)}
        30:{1,4,5,7}:{(16,1),(45,1),(48,1),(70,1),(76,1),(99,1)}
        31:{3,4,6}:{(16,1),(17,1),(38,1),(46,1),(48,1)}
        32:{2,4,6,7}:{(17,1),(18,1),(39,1),(49,1),(98,1)}
        33:{1,2,3,6}:{(24,1),(50,1),(52,1),(102,1)}
        34:{2,3,4,6}:{(19,1),(25,1),(52,1),(53,1),(64,1),(84,1),(86,1),(102,1)}
        35:{1,3,4,6}:{(19,1),(26,1),(52,1),(54,1),(65,1),(84,1),(87,1),(102,1)}
        36:{3,5}:{(19,1),(20,1)}
        37:{1,2,4,5,6}:{(20,1),(21,1),(28,1),(55,1),(56,1),(57,1),(59,1),(86,1),(87,1),(89,1),(92,1)}
        38:{3,5,6}:{(21,1),(31,1),(57,1),(58,1)}
        39:{2,4,5,7}:{(21,1),(32,1),(58,1)}
        40:{3,4,5,7}:{(22,1),(27,1),(51,1),(60,1),(61,1),(88,1),(93,1)}
        41:{1,4,6}:{(22,1),(23,1),(61,1)}
        42:{1,3,5,6,7}:{(23,1),(29,1),(62,1),(66,1),(91,1),(93,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(26,1),(52,1),(63,1)}
        44:{2,3,5,7}:{(25,1),(27,1),(53,1),(60,1),(63,1),(64,1)}
        45:{1,3,5,7}:{(26,1),(27,1),(30,1),(54,1),(63,1),(65,1)}
        46:{3,6}:{(27,1),(28,1)}
        47:{1,2,4,6,7}:{(28,1),(29,1),(32,1),(56,1),(62,1),(66,1),(67,1),(94,1),(95,1),(103,1)}
        48:{1,4,6}:{(30,1),(31,1),(57,1),(65,1)}
        49:{3,4,6,7}:{(31,1),(32,1),(58,1),(66,1),(67,1),(88,1)}
        50:{1,2,3,5}:{(33,1),(68,1),(72,1),(96,1)}
        51:{3,4,5}:{(36,1),(69,1),(70,1),(71,1),(96,1)}
        52:{1,2,4,6}:{(33,1),(34,1),(35,1),(43,1),(68,1),(72,1),(81,1)}
        53:{2,3,5}:{(34,1),(36,1),(69,1),(72,1),(96,1)}
        54:{1,3,5}:{(35,1),(36,1),(70,1),(72,1),(96,1)}
        55:{3,5,6}:{(36,1),(37,1),(46,1),(71,1),(75,1)}
        56:{1,2,4,5,7}:{(37,1),(39,1),(47,1),(75,1),(76,1),(78,1),(98,1),(99,1),(100,1),(101,1)}
        57:{1,5,6}:{(38,1),(48,1),(76,1)}
        58:{3,5,7}:{(38,1),(39,1),(49,1),(76,1)}
        59:{1,4,5,6}:{(41,1),(77,1),(78,1)}
        60:{2,4,5,7}:{(40,1),(44,1),(69,1),(79,1),(98,1),(101,1)}
        61:{3,4,6}:{(40,1),(41,1),(46,1),(77,1),(79,1)}
        62:{1,4,6,7}:{(41,1),(42,1),(78,1),(80,1),(99,1)}
        63:{1,2,5,7}:{(43,1),(44,1),(45,1),(72,1),(81,1)}
        64:{2,3,6}:{(44,1),(46,1),(79,1),(81,1)}
        65:{1,3,6}:{(45,1),(46,1),(48,1),(81,1)}
        66:{3,6,7}:{(46,1),(47,1),(75,1),(104,1)}
        67:{1,4,6,7}:{(48,1),(49,1),(76,1),(83,1),(99,1)}
        68:{1,2,4}:{(50,1),(84,1)}
        69:{2,4,5}:{(51,1),(53,1),(86,1)}
        70:{1,4,5}:{(51,1),(54,1),(87,1)}
        71:{3,4,6}:{(51,1),(55,1),(86,1),(87,1),(88,1),(102,1)}
        72:{1,2,5}:{(52,1),(53,1),(54,1)}
        73:{2,3,5,6}:{(53,1),(55,1),(64,1),(86,1),(89,1),(90,1),(92,1),(102,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(57,1),(65,1),(87,1),(89,1),(91,1),(102,1)}
        75:{3,5,7}:{(55,1),(56,1),(66,1),(88,1)}
        76:{1,5,7}:{(57,1),(58,1),(67,1)}
        77:{3,5,6}:{(59,1),(61,1),(92,1),(93,1)}
        78:{1,4,5,7}:{(59,1),(62,1),(93,1)}
        79:{2,4,6}:{(60,1),(61,1),(64,1),(92,1)}
        80:{3,4,6,7}:{(61,1),(62,1),(66,1),(88,1),(93,1),(94,1)}
        81:{1,2,6}:{(63,1),(64,1),(65,1)}
        82:{2,3,6,7}:{(64,1),(66,1),(90,1),(94,1),(95,1)}
        83:{1,3,6,7}:{(65,1),(66,1),(67,1),(91,1),(95,1)}
        84:{3,4}:{(68,1),(96,1)}
        85:{1,2,4,5}:{(68,1),(69,1),(70,1),(72,1),(96,1),(97,1)}
        86:{2,4,6}:{(69,1),(71,1),(73,1),(98,1)}
        87:{1,4,6}:{(70,1),(71,1),(74,1),(99,1)}
        88:{3,4,7}:{(71,1),(75,1),(98,1),(99,1),(104,1)}
        89:{1,2,5,6}:{(72,1),(73,1),(74,1),(81,1),(97,1),(100,1)}
        90:{2,3,5,7}:{(73,1),(75,1),(82,1),(98,1),(100,1),(101,1),(104,1)}
        91:{1,3,5,7}:{(74,1),(75,1),(76,1),(83,1),(99,1),(100,1),(104,1)}
        92:{2,5,6}:{(77,1),(79,1),(101,1)}
        93:{3,5,7}:{(77,1),(78,1),(80,1),(101,1)}
        94:{2,4,6,7}:{(79,1),(80,1),(82,1),(98,1),(101,1)}
        95:{1,2,6,7}:{(81,1),(82,1),(83,1),(100,1)}
        96:{3,5}:{(84,1),(85,1),(102,1)}
        97:{1,2,4,6}:{(85,1),(86,1),(87,1),(89,1),(102,1),(103,1)}
        98:{2,4,7}:{(86,1),(88,1),(90,1)}
        99:{1,4,7}:{(87,1),(88,1),(91,1)}
       100:{1,2,5,7}:{(89,1),(90,1),(91,1),(95,1),(103,1)}
       101:{2,5,7}:{(92,1),(93,1),(94,1)}
       102:{3,6}:{(96,1),(97,1),(104,1)}
       103:{1,2,4,7}:{(97,1),(98,1),(99,1),(100,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1791 :   0:{1,3,4,5,7}:{(2,1),(3,1),(14,1),(44,1),(84,1),(88,1),(96,1),(127,1),(132,1),(135,1)}
         1:{1,4,5,6,7}:{(4,1),(22,1),(173,1)}
         2:{1,3,4,6}:{(0,1),(7,1),(8,1),(72,1),(153,1),(158,1),(160,1)}
         3:{1,2,4,5,7}:{(0,1),(8,1),(9,1),(27,1),(30,1),(62,1),(69,1),(73,1)}
         4:{3,5,6,7}:{(1,1),(10,1),(12,1),(190,1)}
         5:{1,3,4,6,7}:{(2,1),(14,1),(15,1),(22,1),(55,1),(84,1),(99,1)}
         6:{3,4,5,6}:{(13,1),(17,1),(18,1),(50,1),(140,1),(175,1)}
         7:{1,3,5,6}:{(2,1),(14,1),(17,1),(19,1),(50,1),(88,1),(150,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(19,1),(20,1),(51,1)}
         9:{2,3,5,7}:{(3,1),(20,1),(21,1),(52,1),(132,1)}
        10:{3,4,6,7}:{(4,1),(13,1),(22,1),(23,1),(55,1),(175,1)}
        11:{1,3,5,6,7}:{(4,1),(14,1),(22,1),(24,1),(55,1),(128,1)}
        12:{2,5,6,7}:{(4,1),(23,1),(202,1)}
        13:{3,4,5,7}:{(6,1),(10,1),(25,1),(26,1),(61,1)}
        14:{1,3,5,7}:{(5,1),(7,1),(25,1),(27,1),(61,1),(124,1)}
        15:{1,2,4,6,7}:{(5,1),(8,1),(27,1),(28,1),(62,1)}
        16:{1,2,3,5,7}:{(9,1),(29,1),(30,1),(66,1),(69,1)}
        17:{1,4,5,6}:{(6,1),(7,1),(25,1),(112,1),(153,1)}
        18:{2,4,5,6}:{(6,1),(26,1),(31,1),(163,1),(192,1)}
        19:{1,2,5,6}:{(7,1),(8,1),(27,1),(33,1),(69,1)}
        20:{2,3,6}:{(8,1),(9,1),(158,1)}
        21:{2,3,4,7}:{(9,1),(30,1),(34,1),(62,1),(104,1)}
        22:{1,4,6,7}:{(10,1),(11,1),(25,1),(153,1)}
        23:{2,4,6,7}:{(10,1),(12,1),(26,1),(36,1),(192,1)}
        24:{1,2,5,6,7}:{(11,1),(12,1),(27,1),(37,1),(38,1),(106,1),(124,1)}
        25:{1,4,5,7}:{(13,1),(14,1),(17,1),(22,1)}
        26:{2,4,5,7}:{(13,1),(18,1),(23,1),(40,1)}
        27:{1,2,5,7}:{(14,1),(15,1),(19,1),(42,1)}
        28:{2,3,6,7}:{(15,1),(20,1),(42,1),(55,1)}
        29:{1,2,3,6}:{(16,1),(20,1),(47,1),(89,1)}
        30:{1,2,4,7}:{(16,1),(21,1),(44,1),(47,1)}
        31:{2,3,5,6}:{(18,1),(40,1),(45,1),(49,1),(50,1),(144,1),(178,1)}
        32:{1,2,4,5,6}:{(17,1),(18,1),(19,1),(41,1),(49,1),(50,1),(51,1),(92,1),(95,1),(101,1),(133,1),(150,1)}
        33:{2,3,5,6}:{(19,1),(20,1),(42,1),(50,1),(51,1),(52,1)}
        34:{2,3,4,6}:{(20,1),(21,1),(47,1),(51,1),(52,1),(91,1)}
        35:{2,3,4,5,7}:{(21,1),(48,1),(52,1),(53,1),(85,1),(98,1),(132,1),(140,1),(174,1),(186,1)}
        36:{2,3,6,7}:{(23,1),(40,1),(54,1),(55,1),(178,1)}
        37:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(41,1),(54,1),(55,1),(56,1),(99,1),(133,1)}
        38:{2,3,5,6,7}:{(24,1),(42,1),(55,1),(56,1),(86,1),(100,1)}
        39:{1,2,3,6,7}:{(28,1),(29,1),(58,1),(59,1),(76,1),(114,1),(158,1),(194,1),(195,1)}
        40:{2,3,5,7}:{(26,1),(31,1),(36,1),(57,1),(60,1),(61,1)}
        41:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(32,1),(37,1),(60,1),(61,1),(62,1),(78,1),(107,1),(124,1)}
        42:{2,3,5,7}:{(27,1),(28,1),(33,1),(61,1),(62,1)}
        43:{2,3,4,6,7}:{(28,1),(34,1),(59,1),(62,1),(63,1),(77,1),(104,1),(109,1),(158,1)}
        44:{1,3,4,7}:{(30,1),(65,1),(66,1),(104,1),(166,1)}
        45:{2,3,4,6}:{(31,1),(57,1),(64,1),(67,1),(72,1)}
        46:{1,2,3,5,6}:{(29,1),(33,1),(58,1),(68,1),(69,1),(71,1),(106,1),(113,1),(115,1),(118,1),(158,1),(167,1),(168,1),(194,1)}
        47:{1,2,4,6}:{(29,1),(30,1),(34,1),(65,1),(69,1)}
        48:{1,2,4,5,7}:{(30,1),(35,1),(66,1),(69,1),(70,1),(112,1),(120,1),(166,1)}
        49:{1,2,5,6}:{(31,1),(60,1),(67,1),(71,1),(167,1),(194,1)}
        50:{3,5,6}:{(32,1),(61,1),(72,1),(118,1),(158,1)}
        51:{2,4,6}:{(33,1),(62,1),(72,1),(73,1)}
        52:{2,3,5}:{(34,1),(69,1),(73,1),(118,1)}
        53:{2,3,4,6}:{(35,1),(70,1),(74,1),(109,1),(158,1),(165,1),(192,1)}
        54:{1,2,6,7}:{(36,1),(60,1),(76,1),(194,1)}
        55:{3,6,7}:{(37,1),(61,1),(158,1)}
        56:{2,4,6,7}:{(38,1),(62,1),(77,1),(78,1),(109,1)}
        57:{2,3,4,7}:{(40,1),(45,1),(80,1),(84,1)}
        58:{1,2,3,5,7}:{(39,1),(42,1),(46,1),(81,1),(82,1),(83,1),(129,1),(132,1),(142,1),(177,1),(188,1)}
        59:{1,2,4,6,7}:{(39,1),(43,1),(47,1),(79,1),(81,1),(82,1),(99,1),(133,1),(204,1)}
        60:{1,2,5,7}:{(40,1),(49,1),(54,1),(80,1),(83,1)}
        61:{3,5,7}:{(41,1),(50,1),(55,1),(84,1)}
        62:{2,4,7}:{(42,1),(51,1),(84,1)}
        63:{2,3,5,7}:{(43,1),(52,1),(82,1),(85,1),(86,1),(100,1),(132,1)}
        64:{2,3,4,5}:{(45,1),(87,1),(96,1),(144,1),(182,1)}
        65:{1,3,4,6}:{(44,1),(47,1),(88,1),(89,1),(91,1),(141,1)}
        66:{1,3,5,7}:{(44,1),(48,1),(88,1),(89,1),(132,1)}
        67:{1,2,4,6}:{(45,1),(49,1),(80,1),(87,1),(90,1),(95,1)}
        68:{1,2,4,6}:{(46,1),(51,1),(81,1),(91,1),(92,1),(95,1),(141,1),(184,1)}
        69:{1,2,5}:{(47,1),(52,1),(88,1)}
        70:{1,2,4,6}:{(48,1),(53,1),(89,1),(93,1),(141,1)}
        71:{1,3,5,6}:{(49,1),(50,1),(83,1),(90,1),(95,1),(145,1),(150,1),(179,1)}
        72:{3,4,6}:{(50,1),(51,1),(84,1),(95,1),(96,1)}
        73:{2,4,5}:{(51,1),(52,1),(96,1)}
        74:{2,3,5,6}:{(52,1),(53,1),(93,1),(97,1),(98,1),(146,1),(202,1)}
        75:{2,3,4,6,7}:{(53,1),(94,1),(98,1),(137,1),(180,1),(186,1),(204,1)}
        76:{1,3,6,7}:{(54,1),(55,1),(83,1),(99,1),(179,1)}
        77:{3,4,6,7}:{(55,1),(56,1),(84,1),(99,1),(100,1),(136,1)}
        78:{2,4,5,7}:{(56,1),(100,1),(101,1)}
        79:{1,3,4,6,7}:{(59,1),(65,1),(102,1),(104,1),(114,1),(153,1),(158,1),(166,1),(193,1)}
        80:{1,2,4,7}:{(57,1),(60,1),(67,1),(103,1),(107,1)}
        81:{1,2,4,7}:{(58,1),(62,1),(68,1),(104,1),(107,1),(166,1),(199,1)}
        82:{1,2,5,7}:{(59,1),(63,1),(69,1),(102,1),(106,1),(124,1),(208,1)}
        83:{1,3,5,7}:{(60,1),(61,1),(71,1),(76,1),(103,1),(107,1),(124,1)}
        84:{3,4,7}:{(61,1),(62,1),(72,1),(107,1)}
        85:{2,4,5,7}:{(62,1),(63,1),(73,1),(108,1),(109,1)}
        86:{2,3,5,6}:{(63,1),(106,1),(109,1),(125,1),(158,1)}
        87:{1,2,4,5}:{(64,1),(67,1),(111,1),(121,1),(162,1),(167,1)}
        88:{1,3,5}:{(65,1),(69,1),(112,1),(118,1)}
        89:{1,3,6}:{(66,1),(70,1),(158,1)}
        90:{1,3,6}:{(67,1),(103,1),(111,1)}
        91:{3,4,6}:{(68,1),(104,1),(118,1),(158,1)}
        92:{1,2,4,5}:{(68,1),(69,1),(73,1),(112,1),(118,1),(121,1),(163,1),(167,1)}
        93:{1,2,5,6}:{(69,1),(70,1),(74,1),(113,1),(120,1)}
        94:{1,2,4,6,7}:{(70,1),(75,1),(114,1),(120,1),(166,1)}
        95:{1,4,6}:{(71,1),(72,1),(107,1),(121,1)}
        96:{3,4,5}:{(72,1),(73,1),(118,1),(121,1)}
        97:{2,4,5,6}:{(73,1),(74,1),(109,1),(122,1),(123,1)}
        98:{2,3,5,7}:{(74,1),(75,1),(120,1),(123,1),(170,1),(208,1)}
        99:{1,4,6,7}:{(76,1),(77,1),(107,1),(124,1),(160,1)}
       100:{3,5,7}:{(77,1),(78,1),(124,1),(125,1)}
       101:{2,4,5,6}:{(78,1),(109,1),(125,1)}
       102:{1,3,5,7}:{(79,1),(82,1),(88,1),(127,1),(128,1),(132,1),(203,1)}
       103:{1,3,7}:{(80,1),(90,1)}
       104:{3,4,7}:{(81,1),(91,1),(132,1)}
       105:{1,2,4,5,7}:{(81,1),(82,1),(85,1),(92,1),(127,1),(132,1),(133,1),(135,1),(174,1),(177,1)}
       106:{1,2,5,6}:{(82,1),(86,1),(128,1),(133,1),(150,1),(202,1)}
       107:{1,4,7}:{(83,1),(84,1),(95,1)}
       108:{3,4,5,7}:{(84,1),(85,1),(96,1),(100,1),(132,1),(135,1),(136,1)}
       109:{2,4,6}:{(85,1),(86,1),(136,1)}
       110:{2,3,5,6,7}:{(86,1),(98,1),(134,1),(137,1),(151,1),(180,1)}
       111:{1,3,5}:{(87,1),(90,1),(139,1)}
       112:{1,4,5}:{(88,1),(140,1),(141,1)}
       113:{1,3,5,6}:{(88,1),(89,1),(93,1),(141,1),(142,1),(146,1)}
       114:{1,3,6,7}:{(89,1),(94,1),(142,1),(180,1)}
       115:{1,2,3,6}:{(90,1),(129,1),(138,1),(143,1),(206,1)}
       116:{2,3,4,6}:{(91,1),(130,1),(143,1),(144,1),(178,1),(182,1),(184,1),(206,1)}
       117:{1,3,4,6}:{(90,1),(91,1),(95,1),(131,1),(139,1),(143,1),(145,1),(179,1)}
       118:{3,5}:{(91,1),(92,1)}
       119:{1,2,4,5,6}:{(92,1),(93,1),(97,1),(133,1),(141,1),(146,1),(147,1),(148,1),(173,1),(184,1),(187,1),(202,1)}
       120:{1,2,5,7}:{(93,1),(94,1),(98,1),(142,1)}
       121:{1,4,5}:{(95,1),(96,1),(145,1)}
       122:{3,4,5,6}:{(96,1),(97,1),(136,1),(146,1),(148,1),(149,1)}
       123:{2,4,5,7}:{(97,1),(98,1),(137,1),(149,1)}
       124:{1,5,7}:{(99,1),(100,1),(150,1)}
       125:{3,5,6}:{(100,1),(101,1),(136,1),(150,1)}
       126:{2,4,5,6,7}:{(101,1),(137,1),(151,1)}
       127:{1,4,5,7}:{(102,1),(112,1),(152,1),(153,1),(166,1)}
       128:{1,3,5,6}:{(102,1),(106,1),(153,1),(158,1),(190,1)}
       129:{1,2,3,7}:{(103,1),(115,1),(155,1),(209,1)}
       130:{2,3,4,7}:{(104,1),(116,1),(155,1),(156,1),(199,1),(209,1)}
       131:{1,3,4,7}:{(103,1),(104,1),(107,1),(117,1),(155,1),(157,1)}
       132:{3,5,7}:{(104,1),(105,1),(118,1),(158,1)}
       133:{1,2,4,6}:{(105,1),(106,1),(109,1),(153,1),(158,1),(160,1),(192,1),(194,1)}
       134:{1,2,5,6,7}:{(106,1),(110,1),(120,1),(154,1),(159,1),(172,1),(208,1)}
       135:{1,4,5,7}:{(107,1),(108,1),(121,1),(124,1),(157,1),(160,1)}
       136:{3,4,6}:{(108,1),(109,1),(125,1),(158,1),(160,1)}
       137:{2,4,6,7}:{(109,1),(110,1),(123,1),(161,1)}
       138:{1,2,3,5}:{(111,1),(115,1),(162,1),(167,1),(197,1)}
       139:{1,3,4}:{(111,1),(162,1)}
       140:{3,4,5}:{(112,1),(118,1),(163,1),(165,1)}
       141:{1,4,6}:{(112,1),(113,1),(165,1),(166,1)}
       142:{1,3,5,7}:{(113,1),(114,1),(120,1),(166,1),(170,1)}
       143:{1,2,4,6}:{(115,1),(116,1),(117,1),(155,1),(162,1),(167,1),(194,1)}
       144:{2,3,5}:{(116,1),(118,1),(163,1),(167,1)}
       145:{1,3,5}:{(117,1),(118,1),(121,1),(167,1)}
       146:{3,5,6}:{(118,1),(119,1),(158,1),(165,1),(170,1)}
       147:{1,2,4,5,7}:{(119,1),(120,1),(123,1),(159,1),(166,1),(170,1),(171,1),(191,1),(199,1),(201,1),(208,1)}
       148:{1,4,5,6}:{(121,1),(122,1),(160,1),(169,1),(171,1)}
       149:{3,4,5,7}:{(122,1),(123,1),(161,1),(170,1),(171,1)}
       150:{1,5,6}:{(124,1),(125,1),(160,1)}
       151:{3,5,6,7}:{(125,1),(126,1),(161,1),(172,1)}
       152:{3,4,5,7}:{(127,1),(132,1),(140,1),(174,1),(175,1),(186,1),(203,1)}
       153:{1,4,6}:{(127,1),(128,1),(175,1)}
       154:{1,3,5,6,7}:{(128,1),(134,1),(142,1),(176,1),(180,1),(203,1)}
       155:{1,2,4,7}:{(129,1),(130,1),(131,1),(143,1),(177,1)}
       156:{2,3,5,7}:{(130,1),(132,1),(144,1),(174,1),(177,1),(178,1)}
       157:{1,3,5,7}:{(131,1),(132,1),(135,1),(145,1),(177,1),(179,1)}
       158:{3,6}:{(132,1),(133,1)}
       159:{1,2,4,6,7}:{(133,1),(134,1),(137,1),(147,1),(176,1),(180,1),(181,1),(204,1),(205,1)}
       160:{1,4,6}:{(135,1),(136,1),(150,1),(179,1)}
       161:{3,4,6,7}:{(136,1),(137,1),(149,1),(151,1),(180,1),(181,1)}
       162:{1,2,4}:{(138,1),(139,1),(182,1)}
       163:{2,4,5}:{(140,1),(144,1),(184,1)}
       164:{1,3,4,5}:{(139,1),(140,1),(145,1),(183,1),(185,1)}
       165:{3,4,6}:{(140,1),(141,1),(146,1),(184,1),(186,1)}
       166:{1,4,7}:{(141,1),(142,1),(186,1)}
       167:{1,2,5}:{(143,1),(144,1),(145,1)}
       168:{2,3,5,6}:{(144,1),(146,1),(178,1),(184,1),(187,1),(188,1),(202,1),(206,1)}
       169:{1,3,5,6}:{(145,1),(146,1),(148,1),(179,1),(185,1),(187,1),(189,1)}
       170:{3,5,7}:{(146,1),(147,1),(180,1),(186,1)}
       171:{1,4,5,7}:{(148,1),(149,1),(181,1),(189,1)}
       172:{1,5,6,7}:{(150,1),(151,1),(181,1)}
       173:{1,4,5,6}:{(153,1),(190,1),(191,1)}
       174:{2,4,5,7}:{(152,1),(156,1),(163,1),(192,1),(199,1),(208,1)}
       175:{3,4,6}:{(152,1),(153,1),(158,1),(190,1),(192,1)}
       176:{1,4,6,7}:{(153,1),(154,1),(166,1),(191,1),(193,1)}
       177:{1,2,5,7}:{(155,1),(156,1),(157,1),(167,1),(194,1)}
       178:{2,3,6}:{(156,1),(158,1),(192,1),(194,1)}
       179:{1,3,6}:{(157,1),(158,1),(160,1),(194,1)}
       180:{3,6,7}:{(158,1),(159,1),(170,1)}
       181:{1,4,6,7}:{(160,1),(161,1),(171,1),(172,1),(196,1)}
       182:{2,3,4}:{(162,1),(197,1)}
       183:{1,2,4,5}:{(162,1),(163,1),(164,1),(167,1),(197,1),(198,1)}
       184:{2,4,6}:{(163,1),(165,1),(168,1),(199,1)}
       185:{1,3,4,6}:{(164,1),(165,1),(169,1),(198,1),(200,1)}
       186:{3,4,7}:{(165,1),(166,1),(170,1),(199,1)}
       187:{1,2,5,6}:{(167,1),(168,1),(169,1),(194,1),(198,1),(201,1)}
       188:{2,3,5,7}:{(168,1),(170,1),(195,1),(199,1),(201,1),(208,1),(209,1)}
       189:{1,3,5,7}:{(169,1),(170,1),(171,1),(196,1),(200,1),(201,1)}
       190:{3,5,6}:{(173,1),(175,1),(202,1),(203,1)}
       191:{1,4,5,7}:{(173,1),(176,1),(203,1)}
       192:{2,4,6}:{(174,1),(175,1),(178,1),(202,1)}
       193:{3,4,6,7}:{(175,1),(176,1),(180,1),(186,1),(203,1),(204,1)}
       194:{1,2,6}:{(177,1),(178,1),(179,1)}
       195:{2,3,6,7}:{(178,1),(180,1),(188,1),(204,1),(205,1)}
       196:{1,3,6,7}:{(179,1),(180,1),(181,1),(189,1),(205,1)}
       197:{2,3,5}:{(182,1),(183,1),(206,1)}
       198:{1,2,4,6}:{(183,1),(184,1),(185,1),(187,1),(206,1),(207,1)}
       199:{2,4,7}:{(184,1),(186,1),(188,1)}
       200:{1,3,4,7}:{(185,1),(186,1),(189,1),(207,1)}
       201:{1,2,5,7}:{(187,1),(188,1),(189,1),(205,1),(207,1)}
       202:{2,5,6}:{(190,1),(192,1),(208,1)}
       203:{3,5,7}:{(190,1),(191,1),(193,1),(208,1)}
       204:{2,4,6,7}:{(192,1),(193,1),(195,1),(199,1),(208,1)}
       205:{1,2,6,7}:{(194,1),(195,1),(196,1),(201,1)}
       206:{2,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,2,4,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       208:{2,5,7}:{(202,1),(203,1),(204,1)}
       209:{2,3,7}:{(206,1),(207,1)}

1792 :   0:{1,3,4,5,7}:{(1,1),(2,1),(14,1),(41,1),(90,1),(100,1),(103,1),(144,1),(153,1),(160,1)}
         1:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(26,1),(29,1),(69,1),(72,1),(75,1)}
         2:{1,3,4,6}:{(0,1),(6,1),(7,1),(76,1),(169,1),(177,1),(183,1)}
         3:{2,3,4,5,7}:{(10,1),(11,1),(15,1),(40,1),(52,1),(99,1),(145,1),(148,1),(153,1),(191,1)}
         4:{1,3,4,6,7}:{(2,1),(13,1),(14,1),(20,1),(57,1),(100,1),(110,1)}
         5:{2,3,5,7}:{(1,1),(15,1),(16,1),(52,1),(153,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(53,1)}
         7:{1,3,5,6}:{(2,1),(14,1),(17,1),(18,1),(54,1),(90,1),(164,1)}
         8:{1,3,5,6,7}:{(14,1),(19,1),(20,1),(21,1),(57,1),(143,1)}
         9:{1,4,5,6,7}:{(20,1),(21,1),(186,1)}
        10:{1,2,4,5,7}:{(3,1),(23,1),(24,1),(26,1),(61,1),(69,1),(116,1),(119,1)}
        11:{2,3,4,6}:{(3,1),(24,1),(25,1),(120,1),(129,1),(177,1),(203,1)}
        12:{1,2,3,5,7}:{(5,1),(23,1),(26,1),(27,1),(69,1)}
        13:{1,2,4,6,7}:{(4,1),(6,1),(28,1),(29,1),(72,1)}
        14:{1,3,5,7}:{(4,1),(7,1),(29,1),(30,1),(73,1),(139,1)}
        15:{2,3,4,7}:{(5,1),(26,1),(31,1),(72,1),(125,1)}
        16:{2,3,6}:{(5,1),(6,1),(177,1)}
        17:{1,2,5,6}:{(6,1),(7,1),(29,1),(32,1),(69,1)}
        18:{1,4,5,6}:{(7,1),(30,1),(34,1),(119,1),(169,1)}
        19:{1,2,5,6,7}:{(8,1),(29,1),(35,1),(36,1),(38,1),(123,1),(139,1)}
        20:{1,4,6,7}:{(8,1),(30,1),(37,1),(169,1)}
        21:{3,5,6,7}:{(9,1),(37,1),(38,1),(201,1)}
        22:{2,3,4,6,7}:{(11,1),(39,1),(40,1),(85,1),(141,1),(145,1),(188,1)}
        23:{1,3,5,7}:{(10,1),(41,1),(42,1),(90,1),(153,1)}
        24:{1,2,4,6}:{(10,1),(11,1),(42,1),(43,1),(91,1)}
        25:{2,3,5,6}:{(11,1),(40,1),(43,1),(44,1),(52,1),(92,1),(208,1)}
        26:{1,2,4,7}:{(12,1),(15,1),(41,1),(46,1)}
        27:{1,2,3,6}:{(12,1),(16,1),(42,1),(46,1)}
        28:{2,3,6,7}:{(13,1),(16,1),(49,1),(57,1)}
        29:{1,2,5,7}:{(13,1),(14,1),(17,1),(49,1)}
        30:{1,4,5,7}:{(14,1),(18,1),(20,1),(51,1)}
        31:{2,3,4,6}:{(15,1),(16,1),(46,1),(52,1),(53,1),(97,1)}
        32:{2,3,5,6}:{(16,1),(17,1),(49,1),(52,1),(53,1),(54,1)}
        33:{1,2,4,5,6}:{(17,1),(18,1),(50,1),(53,1),(54,1),(55,1),(96,1),(104,1),(106,1),(108,1),(152,1),(164,1)}
        34:{3,4,5,6}:{(18,1),(51,1),(54,1),(55,1),(148,1),(190,1)}
        35:{2,3,5,6,7}:{(19,1),(49,1),(56,1),(57,1),(98,1),(109,1)}
        36:{1,2,4,6,7}:{(19,1),(20,1),(50,1),(56,1),(57,1),(58,1),(110,1),(111,1),(152,1)}
        37:{3,4,6,7}:{(20,1),(21,1),(51,1),(57,1),(58,1),(190,1)}
        38:{2,5,6,7}:{(21,1),(58,1),(208,1)}
        39:{1,2,4,6,7}:{(22,1),(24,1),(60,1),(61,1),(116,1)}
        40:{2,3,5,7}:{(22,1),(25,1),(61,1),(62,1),(117,1),(202,1)}
        41:{1,3,4,7}:{(23,1),(26,1),(63,1),(116,1),(125,1)}
        42:{1,3,6}:{(23,1),(24,1),(177,1)}
        43:{1,2,5,6}:{(24,1),(25,1),(61,1),(64,1),(69,1)}
        44:{2,4,5,6}:{(25,1),(62,1),(66,1),(75,1),(129,1)}
        45:{1,2,3,6,7}:{(27,1),(28,1),(60,1),(67,1),(68,1),(82,1),(168,1),(177,1),(206,1)}
        46:{1,2,4,6}:{(26,1),(27,1),(31,1),(63,1),(69,1)}
        47:{1,2,3,5,6}:{(27,1),(32,1),(64,1),(68,1),(69,1),(70,1),(77,1),(122,1),(123,1),(126,1),(177,1),(181,1),(182,1),(206,1)}
        48:{2,3,4,6,7}:{(28,1),(31,1),(67,1),(71,1),(72,1),(81,1),(125,1),(129,1),(177,1)}
        49:{2,3,5,7}:{(28,1),(29,1),(32,1),(72,1),(73,1)}
        50:{1,2,4,5,7}:{(29,1),(30,1),(33,1),(36,1),(72,1),(73,1),(74,1),(80,1),(131,1),(133,1),(139,1)}
        51:{3,4,5,7}:{(30,1),(34,1),(37,1),(73,1),(74,1)}
        52:{2,3,5}:{(31,1),(69,1),(75,1),(126,1)}
        53:{2,4,6}:{(32,1),(72,1),(75,1),(76,1)}
        54:{3,5,6}:{(33,1),(73,1),(76,1),(126,1),(177,1)}
        55:{2,4,5,6}:{(34,1),(74,1),(78,1),(175,1),(203,1)}
        56:{2,4,6,7}:{(35,1),(72,1),(80,1),(81,1),(129,1)}
        57:{3,6,7}:{(36,1),(73,1),(177,1)}
        58:{2,4,6,7}:{(37,1),(38,1),(74,1),(83,1),(203,1)}
        59:{2,3,5,6,7}:{(40,1),(84,1),(85,1),(98,1),(107,1),(141,1)}
        60:{1,3,6,7}:{(39,1),(42,1),(87,1),(141,1)}
        61:{1,2,5,7}:{(39,1),(40,1),(43,1),(87,1)}
        62:{2,4,5,7}:{(40,1),(44,1),(85,1),(89,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(46,1),(90,1),(91,1),(97,1)}
        64:{1,3,5,6}:{(42,1),(43,1),(87,1),(90,1),(91,1),(92,1)}
        65:{1,2,4,5,6}:{(43,1),(44,1),(88,1),(91,1),(92,1),(93,1),(96,1),(150,1),(151,1),(152,1),(186,1),(208,1)}
        66:{3,4,5,6}:{(44,1),(89,1),(92,1),(93,1),(103,1),(159,1)}
        67:{1,2,4,6,7}:{(45,1),(46,1),(48,1),(86,1),(94,1),(95,1),(110,1),(152,1),(188,1)}
        68:{1,2,3,5,7}:{(45,1),(47,1),(49,1),(87,1),(94,1),(95,1),(101,1),(147,1),(153,1),(197,1),(198,1)}
        69:{1,2,5}:{(46,1),(52,1),(90,1)}
        70:{1,2,4,6}:{(47,1),(53,1),(91,1),(95,1),(96,1),(97,1),(104,1),(150,1)}
        71:{2,3,5,7}:{(48,1),(52,1),(94,1),(98,1),(99,1),(109,1),(153,1)}
        72:{2,4,7}:{(49,1),(53,1),(100,1)}
        73:{3,5,7}:{(50,1),(54,1),(57,1),(100,1)}
        74:{2,4,5,7}:{(51,1),(55,1),(58,1),(102,1)}
        75:{2,4,5}:{(52,1),(53,1),(103,1)}
        76:{3,4,6}:{(53,1),(54,1),(100,1),(103,1),(104,1)}
        77:{1,3,5,6}:{(54,1),(101,1),(104,1),(106,1),(156,1),(163,1),(164,1),(195,1)}
        78:{2,3,5,6}:{(54,1),(55,1),(102,1),(105,1),(106,1),(157,1),(196,1)}
        79:{2,4,5,6,7}:{(85,1),(107,1),(108,1)}
        80:{2,4,5,7}:{(56,1),(108,1),(109,1)}
        81:{3,4,6,7}:{(56,1),(57,1),(100,1),(109,1),(110,1),(159,1)}
        82:{1,3,6,7}:{(57,1),(101,1),(110,1),(111,1),(195,1)}
        83:{2,3,6,7}:{(57,1),(58,1),(102,1),(111,1),(196,1)}
        84:{1,2,5,6,7}:{(59,1),(61,1),(112,1),(113,1),(123,1),(137,1),(202,1)}
        85:{2,4,6,7}:{(59,1),(62,1),(114,1),(129,1)}
        86:{1,3,4,6,7}:{(60,1),(63,1),(67,1),(115,1),(116,1),(125,1),(166,1),(169,1),(177,1)}
        87:{1,3,5,7}:{(60,1),(61,1),(64,1),(116,1),(117,1)}
        88:{1,2,4,5,7}:{(61,1),(62,1),(65,1),(113,1),(116,1),(117,1),(118,1),(165,1),(172,1),(173,1),(202,1)}
        89:{3,4,5,7}:{(62,1),(66,1),(114,1),(117,1),(118,1)}
        90:{1,3,5}:{(63,1),(69,1),(119,1),(126,1)}
        91:{1,4,6}:{(64,1),(116,1),(119,1),(120,1)}
        92:{3,5,6}:{(65,1),(117,1),(120,1),(126,1),(177,1)}
        93:{1,4,5,6}:{(66,1),(118,1),(121,1),(134,1),(183,1)}
        94:{1,2,5,7}:{(67,1),(69,1),(71,1),(115,1),(123,1),(139,1),(202,1)}
        95:{1,2,4,7}:{(68,1),(70,1),(72,1),(116,1),(125,1),(131,1),(172,1)}
        96:{1,2,4,5}:{(69,1),(70,1),(75,1),(119,1),(126,1),(134,1),(175,1),(181,1)}
        97:{3,4,6}:{(70,1),(125,1),(126,1),(177,1)}
        98:{2,3,5,6}:{(71,1),(123,1),(129,1),(138,1),(177,1)}
        99:{2,4,5,7}:{(71,1),(72,1),(75,1),(129,1),(130,1)}
       100:{3,4,7}:{(72,1),(73,1),(76,1),(131,1)}
       101:{1,3,5,7}:{(73,1),(77,1),(82,1),(131,1),(133,1),(139,1),(184,1)}
       102:{2,3,5,7}:{(73,1),(74,1),(78,1),(83,1),(132,1),(133,1)}
       103:{3,4,5}:{(75,1),(76,1),(126,1),(134,1)}
       104:{1,4,6}:{(76,1),(77,1),(131,1),(134,1)}
       105:{2,3,4,6}:{(76,1),(78,1),(132,1),(135,1),(136,1)}
       106:{1,2,5,6}:{(77,1),(78,1),(133,1),(136,1),(181,1),(206,1)}
       107:{3,5,6,7}:{(79,1),(114,1),(137,1),(138,1)}
       108:{2,4,5,6}:{(80,1),(129,1),(138,1)}
       109:{3,5,7}:{(80,1),(81,1),(138,1),(139,1)}
       110:{1,4,6,7}:{(81,1),(82,1),(131,1),(139,1),(183,1)}
       111:{1,2,6,7}:{(82,1),(83,1),(133,1),(206,1)}
       112:{1,3,5,6,7}:{(84,1),(87,1),(140,1),(141,1),(143,1),(187,1)}
       113:{1,2,4,6,7}:{(84,1),(85,1),(88,1),(140,1),(141,1),(142,1),(152,1),(188,1),(189,1)}
       114:{3,4,6,7}:{(85,1),(89,1),(107,1),(141,1),(142,1),(159,1)}
       115:{1,3,5,7}:{(86,1),(90,1),(94,1),(143,1),(144,1),(153,1),(187,1)}
       116:{1,4,7}:{(87,1),(91,1),(145,1)}
       117:{3,5,7}:{(88,1),(92,1),(141,1),(145,1)}
       118:{1,4,5,7}:{(89,1),(93,1),(142,1),(146,1)}
       119:{1,4,5}:{(90,1),(91,1),(148,1)}
       120:{3,4,6}:{(91,1),(92,1),(145,1),(148,1),(150,1)}
       121:{1,3,5,6}:{(92,1),(93,1),(146,1),(149,1),(151,1),(156,1),(195,1)}
       122:{2,3,5,6}:{(92,1),(147,1),(150,1),(151,1),(157,1),(194,1),(196,1),(208,1)}
       123:{1,2,5,6}:{(94,1),(98,1),(143,1),(152,1),(164,1),(208,1)}
       124:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(144,1),(152,1),(153,1),(160,1),(191,1),(197,1)}
       125:{3,4,7}:{(95,1),(97,1),(153,1)}
       126:{3,5}:{(96,1),(97,1)}
       127:{1,3,4,6}:{(97,1),(104,1),(154,1),(156,1),(158,1),(163,1),(195,1),(200,1)}
       128:{2,3,4,6}:{(97,1),(150,1),(155,1),(157,1),(158,1),(194,1),(196,1),(209,1)}
       129:{2,4,6}:{(98,1),(99,1),(159,1)}
       130:{3,4,5,7}:{(99,1),(100,1),(103,1),(109,1),(153,1),(159,1),(160,1)}
       131:{1,4,7}:{(100,1),(101,1),(104,1)}
       132:{2,3,4,7}:{(100,1),(102,1),(105,1),(161,1)}
       133:{1,2,5,7}:{(101,1),(102,1),(106,1),(111,1),(161,1)}
       134:{1,4,5}:{(103,1),(104,1),(156,1)}
       135:{2,3,4,5}:{(103,1),(105,1),(157,1),(162,1),(209,1)}
       136:{1,2,4,6}:{(104,1),(105,1),(106,1),(161,1),(162,1),(163,1)}
       137:{1,5,6,7}:{(107,1),(142,1),(164,1)}
       138:{3,5,6}:{(108,1),(109,1),(159,1),(164,1)}
       139:{1,5,7}:{(109,1),(110,1),(164,1)}
       140:{1,4,6,7}:{(112,1),(116,1),(165,1),(166,1),(169,1)}
       141:{3,6,7}:{(113,1),(117,1),(177,1)}
       142:{1,4,6,7}:{(114,1),(118,1),(137,1),(167,1),(183,1)}
       143:{1,3,5,6}:{(115,1),(123,1),(169,1),(177,1),(201,1)}
       144:{1,4,5,7}:{(115,1),(116,1),(119,1),(169,1),(170,1)}
       145:{3,4,7}:{(116,1),(117,1),(120,1),(172,1)}
       146:{1,3,5,7}:{(117,1),(118,1),(121,1),(167,1),(171,1),(173,1)}
       147:{2,3,5,7}:{(117,1),(122,1),(168,1),(172,1),(173,1),(202,1),(204,1)}
       148:{3,4,5}:{(119,1),(120,1),(126,1),(175,1)}
       149:{1,3,4,6}:{(120,1),(121,1),(171,1),(174,1),(176,1)}
       150:{2,4,6}:{(120,1),(122,1),(172,1),(175,1)}
       151:{1,2,5,6}:{(121,1),(122,1),(173,1),(176,1),(181,1),(206,1)}
       152:{1,2,4,6}:{(123,1),(124,1),(129,1),(169,1),(177,1),(183,1),(203,1),(206,1)}
       153:{3,5,7}:{(124,1),(125,1),(126,1),(177,1)}
       154:{1,3,4,7}:{(125,1),(127,1),(131,1),(178,1),(180,1),(184,1)}
       155:{2,3,4,7}:{(125,1),(128,1),(172,1),(179,1),(180,1),(204,1)}
       156:{1,3,5}:{(126,1),(127,1),(134,1),(181,1)}
       157:{2,3,5}:{(126,1),(128,1),(175,1),(181,1)}
       158:{1,2,4,6}:{(127,1),(128,1),(180,1),(181,1),(182,1),(206,1),(207,1)}
       159:{3,4,6}:{(129,1),(130,1),(138,1),(177,1),(183,1)}
       160:{1,4,5,7}:{(130,1),(131,1),(134,1),(139,1),(178,1),(183,1)}
       161:{1,2,4,7}:{(131,1),(132,1),(133,1),(136,1),(184,1)}
       162:{1,2,4,5}:{(134,1),(135,1),(136,1),(181,1),(185,1),(207,1)}
       163:{1,3,6}:{(136,1),(184,1),(185,1)}
       164:{1,5,6}:{(138,1),(139,1),(183,1)}
       165:{1,4,5,7}:{(140,1),(186,1),(187,1)}
       166:{3,4,6,7}:{(140,1),(141,1),(145,1),(187,1),(188,1),(190,1)}
       167:{1,3,6,7}:{(141,1),(142,1),(146,1),(189,1),(195,1)}
       168:{2,3,6,7}:{(141,1),(147,1),(188,1),(189,1),(196,1)}
       169:{1,4,6}:{(143,1),(144,1),(190,1)}
       170:{3,4,5,7}:{(144,1),(145,1),(148,1),(153,1),(187,1),(190,1),(191,1)}
       171:{1,3,4,7}:{(145,1),(146,1),(149,1),(192,1)}
       172:{2,4,7}:{(145,1),(147,1),(150,1)}
       173:{1,2,5,7}:{(146,1),(147,1),(151,1),(189,1),(192,1)}
       174:{1,3,4,5}:{(148,1),(149,1),(156,1),(193,1),(200,1)}
       175:{2,4,5}:{(148,1),(150,1),(157,1)}
       176:{1,2,4,6}:{(149,1),(150,1),(151,1),(192,1),(193,1),(194,1)}
       177:{3,6}:{(152,1),(153,1)}
       178:{1,3,5,7}:{(153,1),(154,1),(156,1),(160,1),(195,1),(197,1)}
       179:{2,3,5,7}:{(153,1),(155,1),(157,1),(191,1),(196,1),(197,1)}
       180:{1,2,4,7}:{(154,1),(155,1),(158,1),(197,1),(198,1)}
       181:{1,2,5}:{(156,1),(157,1),(158,1)}
       182:{1,2,3,6}:{(158,1),(163,1),(194,1),(198,1),(199,1)}
       183:{1,4,6}:{(159,1),(160,1),(164,1),(195,1)}
       184:{1,3,7}:{(161,1),(163,1)}
       185:{1,3,5}:{(162,1),(163,1),(200,1)}
       186:{1,4,5,6}:{(165,1),(169,1),(201,1)}
       187:{3,5,7}:{(165,1),(166,1),(201,1),(202,1)}
       188:{2,4,6,7}:{(166,1),(168,1),(172,1),(202,1),(203,1)}
       189:{1,2,6,7}:{(167,1),(168,1),(173,1),(206,1)}
       190:{3,4,6}:{(169,1),(170,1),(177,1),(201,1),(203,1)}
       191:{2,4,5,7}:{(170,1),(172,1),(175,1),(179,1),(202,1),(203,1)}
       192:{1,2,4,7}:{(171,1),(172,1),(173,1),(176,1),(204,1)}
       193:{1,2,4,5}:{(174,1),(175,1),(176,1),(181,1),(205,1),(207,1)}
       194:{2,3,6}:{(176,1),(204,1),(205,1)}
       195:{1,3,6}:{(177,1),(178,1),(183,1),(206,1)}
       196:{2,3,6}:{(177,1),(179,1),(203,1),(206,1)}
       197:{1,2,5,7}:{(178,1),(179,1),(180,1),(181,1),(206,1)}
       198:{1,2,3,7}:{(180,1),(182,1),(184,1),(204,1)}
       199:{1,2,3,5}:{(181,1),(182,1),(185,1),(205,1),(207,1)}
       200:{1,3,4}:{(185,1),(207,1)}
       201:{3,5,6}:{(186,1),(187,1),(190,1),(208,1)}
       202:{2,5,7}:{(187,1),(188,1),(208,1)}
       203:{2,4,6}:{(190,1),(191,1),(196,1),(208,1)}
       204:{2,3,7}:{(192,1),(194,1)}
       205:{2,3,5}:{(193,1),(194,1),(209,1)}
       206:{1,2,6}:{(195,1),(196,1),(197,1)}
       207:{1,2,4}:{(199,1),(200,1),(209,1)}
       208:{2,5,6}:{(201,1),(202,1),(203,1)}
       209:{2,3,4}:{(205,1),(207,1)}

1793 :   0:{1,4,5,6,7}:{(1,1),(10,1),(198,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(5,1),(203,1)}
         2:{3,4,5,6}:{(7,1),(8,1),(9,1),(34,1),(167,1),(195,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(10,1),(11,1),(37,1),(195,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(29,1),(37,1),(171,1)}
         5:{2,5,6,7}:{(1,1),(11,1),(206,1)}
         6:{1,3,4,5,7}:{(13,1),(14,1),(29,1),(65,1),(69,1),(77,1),(113,1),(125,1),(163,1),(170,1)}
         7:{3,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(47,1)}
         8:{1,4,5,6}:{(2,1),(16,1),(18,1),(151,1),(187,1)}
         9:{2,4,5,6}:{(2,1),(17,1),(19,1),(178,1),(200,1)}
        10:{1,4,6,7}:{(3,1),(4,1),(16,1),(187,1)}
        11:{2,4,6,7}:{(3,1),(5,1),(17,1),(22,1),(200,1)}
        12:{1,2,5,6,7}:{(4,1),(5,1),(23,1),(24,1),(45,1),(95,1),(148,1)}
        13:{1,3,4,6}:{(6,1),(18,1),(25,1),(50,1),(141,1),(183,1),(187,1)}
        14:{1,2,4,5,7}:{(6,1),(25,1),(26,1),(45,1),(57,1),(86,1),(90,1),(99,1)}
        15:{2,3,4,5}:{(27,1),(28,1),(69,1),(108,1),(158,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(10,1),(29,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(11,1),(30,1)}
        18:{1,3,5,6}:{(8,1),(13,1),(29,1),(32,1),(34,1),(123,1),(125,1)}
        19:{2,3,5,6}:{(9,1),(27,1),(30,1),(33,1),(34,1),(158,1),(191,1)}
        20:{1,2,4,5,6}:{(8,1),(9,1),(31,1),(32,1),(33,1),(34,1),(67,1),(68,1),(74,1),(116,1),(123,1),(164,1)}
        21:{1,3,4,6,7}:{(10,1),(13,1),(29,1),(35,1),(37,1),(65,1),(72,1)}
        22:{2,3,6,7}:{(11,1),(30,1),(36,1),(37,1),(191,1)}
        23:{1,2,4,6,7}:{(10,1),(11,1),(12,1),(31,1),(36,1),(37,1),(38,1),(72,1),(164,1)}
        24:{2,3,5,6,7}:{(12,1),(37,1),(38,1),(63,1),(73,1),(122,1)}
        25:{1,2,4,6}:{(13,1),(14,1),(32,1),(39,1),(67,1)}
        26:{2,3,5,7}:{(14,1),(39,1),(41,1),(76,1),(163,1)}
        27:{2,3,4,6}:{(15,1),(19,1),(42,1),(43,1),(50,1)}
        28:{1,2,4,5}:{(15,1),(43,1),(44,1),(83,1),(91,1),(133,1)}
        29:{1,3,5,7}:{(16,1),(18,1),(21,1),(45,1),(47,1),(95,1)}
        30:{2,3,5,7}:{(17,1),(19,1),(22,1),(42,1),(46,1),(47,1)}
        31:{1,2,4,5,7}:{(16,1),(17,1),(20,1),(23,1),(45,1),(46,1),(47,1),(54,1),(86,1),(87,1),(95,1)}
        32:{1,2,5,6}:{(18,1),(25,1),(45,1),(48,1),(99,1)}
        33:{1,2,5,6}:{(19,1),(43,1),(46,1),(49,1),(133,1),(176,1)}
        34:{3,5,6}:{(20,1),(47,1),(50,1),(143,1),(183,1)}
        35:{1,2,4,6,7}:{(21,1),(25,1),(45,1),(51,1),(86,1)}
        36:{1,2,6,7}:{(22,1),(46,1),(52,1),(176,1)}
        37:{3,6,7}:{(23,1),(47,1),(183,1)}
        38:{2,4,6,7}:{(24,1),(53,1),(54,1),(86,1),(140,1)}
        39:{2,3,6}:{(25,1),(26,1),(183,1)}
        40:{1,2,3,5,7}:{(26,1),(55,1),(57,1),(99,1),(101,1)}
        41:{2,3,4,7}:{(26,1),(56,1),(57,1),(86,1),(138,1)}
        42:{2,3,4,7}:{(27,1),(30,1),(59,1),(65,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(33,1),(59,1),(60,1),(68,1)}
        44:{1,3,5}:{(28,1),(60,1),(62,1)}
        45:{1,2,5,7}:{(29,1),(32,1),(35,1),(63,1)}
        46:{1,2,5,7}:{(30,1),(33,1),(36,1),(59,1),(64,1)}
        47:{3,5,7}:{(31,1),(34,1),(37,1),(65,1)}
        48:{2,3,5,6}:{(32,1),(34,1),(39,1),(63,1),(67,1),(76,1)}
        49:{1,3,5,6}:{(33,1),(34,1),(60,1),(64,1),(68,1),(107,1),(123,1),(157,1)}
        50:{3,4,6}:{(34,1),(65,1),(67,1),(68,1),(69,1)}
        51:{2,3,6,7}:{(35,1),(37,1),(39,1),(63,1)}
        52:{1,3,6,7}:{(36,1),(37,1),(64,1),(72,1),(157,1)}
        53:{3,4,6,7}:{(37,1),(38,1),(65,1),(72,1),(73,1),(114,1)}
        54:{2,4,5,7}:{(38,1),(73,1),(74,1)}
        55:{1,2,3,6}:{(39,1),(40,1),(75,1),(128,1)}
        56:{2,3,4,6}:{(39,1),(41,1),(67,1),(75,1),(76,1),(115,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(75,1),(77,1)}
        58:{2,3,4,5,7}:{(41,1),(76,1),(78,1),(79,1),(112,1),(127,1),(163,1),(167,1),(190,1),(197,1)}
        59:{1,2,4,7}:{(42,1),(43,1),(46,1),(80,1),(87,1)}
        60:{1,3,6}:{(43,1),(44,1),(80,1)}
        61:{1,2,3,5}:{(44,1),(81,1),(83,1),(133,1),(135,1)}
        62:{1,3,4}:{(44,1),(83,1)}
        63:{2,3,5,7}:{(45,1),(47,1),(48,1),(51,1),(86,1)}
        64:{1,3,5,7}:{(46,1),(47,1),(49,1),(52,1),(80,1),(87,1),(95,1)}
        65:{3,4,7}:{(47,1),(50,1),(86,1),(87,1)}
        66:{1,2,3,5,6}:{(48,1),(49,1),(55,1),(81,1),(85,1),(89,1),(99,1),(133,1),(143,1),(148,1),(152,1),(176,1),(179,1),(183,1)}
        67:{2,4,6}:{(48,1),(50,1),(86,1),(90,1)}
        68:{1,4,6}:{(49,1),(50,1),(87,1),(91,1)}
        69:{3,4,5}:{(50,1),(90,1),(91,1),(143,1)}
        70:{1,2,3,6,7}:{(51,1),(52,1),(55,1),(85,1),(93,1),(154,1),(176,1),(183,1),(201,1)}
        71:{2,3,4,6,7}:{(51,1),(53,1),(56,1),(86,1),(93,1),(94,1),(138,1),(140,1),(183,1)}
        72:{1,4,6,7}:{(52,1),(53,1),(87,1),(95,1),(141,1)}
        73:{3,5,7}:{(53,1),(54,1),(95,1),(96,1)}
        74:{2,4,5,6}:{(54,1),(96,1),(140,1)}
        75:{1,2,4,6}:{(55,1),(56,1),(57,1),(98,1),(99,1)}
        76:{2,3,5}:{(56,1),(90,1),(99,1),(143,1)}
        77:{1,3,4,7}:{(57,1),(98,1),(101,1),(138,1),(189,1)}
        78:{1,2,4,5,7}:{(57,1),(58,1),(99,1),(101,1),(102,1),(151,1),(153,1),(189,1)}
        79:{2,3,4,6}:{(58,1),(100,1),(102,1),(140,1),(183,1),(185,1),(200,1)}
        80:{1,3,7}:{(59,1),(60,1)}
        81:{1,2,3,6}:{(60,1),(61,1),(104,1),(106,1),(161,1)}
        82:{1,3,4,6}:{(60,1),(62,1),(68,1),(105,1),(106,1),(107,1),(115,1),(157,1)}
        83:{1,2,4}:{(61,1),(62,1),(108,1)}
        84:{1,3,4,5}:{(62,1),(107,1),(109,1),(110,1),(167,1)}
        85:{1,2,3,5,7}:{(63,1),(64,1),(66,1),(70,1),(104,1),(111,1),(121,1),(156,1),(163,1),(174,1),(194,1)}
        86:{2,4,7}:{(63,1),(65,1),(67,1)}
        87:{1,4,7}:{(64,1),(65,1),(68,1)}
        88:{3,4,5,7}:{(65,1),(69,1),(73,1),(112,1),(113,1),(114,1),(163,1)}
        89:{1,2,4,6}:{(66,1),(67,1),(68,1),(111,1),(115,1),(116,1),(173,1),(193,1)}
        90:{2,4,5}:{(67,1),(69,1),(76,1)}
        91:{1,4,5}:{(68,1),(69,1),(107,1)}
        92:{3,4,5,6}:{(69,1),(114,1),(117,1),(118,1),(119,1),(168,1)}
        93:{1,2,4,6,7}:{(70,1),(71,1),(72,1),(75,1),(111,1),(120,1),(121,1),(164,1),(207,1)}
        94:{2,3,5,7}:{(71,1),(73,1),(76,1),(112,1),(121,1),(122,1),(163,1)}
        95:{1,5,7}:{(72,1),(73,1),(123,1)}
        96:{3,5,6}:{(73,1),(74,1),(114,1),(123,1)}
        97:{2,4,5,6,7}:{(74,1),(124,1),(165,1)}
        98:{1,3,4,6}:{(75,1),(77,1),(115,1),(125,1),(128,1),(173,1)}
        99:{1,2,5}:{(75,1),(76,1),(125,1)}
       100:{2,3,5,6}:{(76,1),(79,1),(117,1),(126,1),(127,1),(168,1),(206,1)}
       101:{1,3,5,7}:{(77,1),(78,1),(125,1),(128,1),(163,1)}
       102:{1,2,4,6}:{(78,1),(79,1),(126,1),(128,1),(173,1)}
       103:{2,3,4,6,7}:{(79,1),(127,1),(129,1),(165,1),(196,1),(197,1),(207,1)}
       104:{1,2,3,7}:{(80,1),(81,1),(130,1),(181,1)}
       105:{1,3,4,7}:{(80,1),(82,1),(87,1),(130,1),(131,1),(138,1)}
       106:{1,2,4,6}:{(81,1),(82,1),(83,1),(130,1),(132,1),(133,1),(176,1)}
       107:{1,3,5}:{(82,1),(91,1),(133,1),(143,1)}
       108:{2,3,4}:{(83,1),(135,1)}
       109:{1,2,4,5}:{(83,1),(84,1),(133,1),(135,1),(136,1),(178,1)}
       110:{1,3,4,6}:{(84,1),(134,1),(136,1),(137,1),(185,1)}
       111:{1,2,4,7}:{(85,1),(86,1),(87,1),(89,1),(138,1),(189,1),(202,1)}
       112:{2,4,5,7}:{(86,1),(88,1),(90,1),(94,1),(140,1)}
       113:{1,4,5,7}:{(87,1),(88,1),(91,1),(95,1),(131,1),(141,1)}
       114:{3,4,6}:{(88,1),(96,1),(140,1),(141,1),(183,1)}
       115:{3,4,6}:{(89,1),(138,1),(143,1),(183,1)}
       116:{1,2,4,5}:{(89,1),(90,1),(91,1),(99,1),(133,1),(143,1),(151,1),(178,1)}
       117:{2,4,5,6}:{(90,1),(92,1),(100,1),(140,1),(145,1)}
       118:{1,4,5,6}:{(91,1),(92,1),(134,1),(141,1),(146,1)}
       119:{3,4,5,7}:{(92,1),(142,1),(145,1),(146,1),(186,1)}
       120:{1,3,4,6,7}:{(93,1),(98,1),(138,1),(147,1),(154,1),(183,1),(187,1),(189,1),(204,1)}
       121:{1,2,5,7}:{(93,1),(94,1),(95,1),(99,1),(147,1),(148,1),(209,1)}
       122:{2,3,5,6}:{(94,1),(96,1),(140,1),(148,1),(183,1)}
       123:{1,5,6}:{(95,1),(96,1),(141,1)}
       124:{3,5,6,7}:{(96,1),(97,1),(142,1),(150,1)}
       125:{1,3,5}:{(98,1),(99,1),(143,1),(151,1)}
       126:{1,2,5,6}:{(99,1),(100,1),(102,1),(152,1),(153,1)}
       127:{2,3,5,7}:{(100,1),(103,1),(145,1),(153,1),(186,1),(209,1)}
       128:{1,3,6}:{(101,1),(102,1),(183,1)}
       129:{1,2,4,6,7}:{(102,1),(103,1),(153,1),(154,1),(189,1)}
       130:{1,2,4,7}:{(104,1),(105,1),(106,1),(155,1),(156,1)}
       131:{1,3,5,7}:{(105,1),(107,1),(113,1),(156,1),(157,1),(163,1)}
       132:{2,3,4,6}:{(106,1),(108,1),(115,1),(155,1),(158,1),(161,1),(191,1),(193,1)}
       133:{1,2,5}:{(106,1),(107,1),(158,1)}
       134:{1,3,5,6}:{(107,1),(110,1),(118,1),(157,1),(159,1),(160,1),(168,1)}
       135:{2,3,5}:{(108,1),(109,1),(161,1)}
       136:{1,2,4,6}:{(109,1),(110,1),(159,1),(161,1),(162,1),(193,1)}
       137:{1,3,4,7}:{(110,1),(160,1),(162,1),(197,1)}
       138:{3,4,7}:{(111,1),(115,1),(163,1)}
       139:{1,2,4,5,7}:{(111,1),(112,1),(113,1),(116,1),(121,1),(156,1),(163,1),(164,1),(170,1),(190,1)}
       140:{2,4,6}:{(112,1),(114,1),(122,1)}
       141:{1,4,6}:{(113,1),(114,1),(123,1),(157,1)}
       142:{3,4,6,7}:{(114,1),(119,1),(124,1),(165,1),(166,1),(196,1)}
       143:{3,5}:{(115,1),(116,1)}
       144:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(126,1),(159,1),(164,1),(168,1),(169,1),(173,1),(193,1),(198,1),(206,1)}
       145:{2,4,5,7}:{(117,1),(119,1),(127,1),(165,1)}
       146:{1,4,5,7}:{(118,1),(119,1),(160,1),(166,1)}
       147:{1,3,5,7}:{(120,1),(121,1),(125,1),(163,1),(170,1),(171,1),(208,1)}
       148:{1,2,5,6}:{(121,1),(122,1),(123,1),(164,1),(171,1),(206,1)}
       149:{2,3,5,6,7}:{(122,1),(124,1),(127,1),(165,1),(172,1),(196,1)}
       150:{1,5,6,7}:{(123,1),(124,1),(166,1)}
       151:{1,4,5}:{(125,1),(167,1),(173,1)}
       152:{1,3,5,6}:{(125,1),(126,1),(128,1),(168,1),(173,1),(174,1)}
       153:{1,2,5,7}:{(126,1),(127,1),(129,1),(174,1)}
       154:{1,3,6,7}:{(128,1),(129,1),(174,1),(196,1)}
       155:{2,3,4,7}:{(130,1),(132,1),(138,1),(175,1),(181,1),(202,1)}
       156:{1,2,5,7}:{(130,1),(131,1),(133,1),(175,1),(176,1)}
       157:{1,3,6}:{(131,1),(141,1),(176,1),(183,1)}
       158:{2,3,5}:{(132,1),(133,1),(143,1),(178,1)}
       159:{1,2,5,6}:{(133,1),(134,1),(136,1),(176,1),(179,1),(180,1)}
       160:{1,3,5,7}:{(134,1),(137,1),(146,1),(177,1),(180,1),(186,1)}
       161:{2,3,6}:{(135,1),(136,1),(181,1)}
       162:{1,2,4,7}:{(136,1),(137,1),(180,1),(181,1),(202,1)}
       163:{3,5,7}:{(138,1),(139,1),(143,1),(183,1)}
       164:{1,2,4,6}:{(139,1),(140,1),(141,1),(148,1),(176,1),(183,1),(187,1),(200,1)}
       165:{2,4,6,7}:{(140,1),(142,1),(145,1),(149,1)}
       166:{1,4,6,7}:{(141,1),(142,1),(146,1),(150,1),(177,1)}
       167:{3,4,5}:{(143,1),(151,1),(178,1),(185,1)}
       168:{3,5,6}:{(143,1),(144,1),(183,1),(185,1),(186,1)}
       169:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(153,1),(180,1),(184,1),(186,1),(189,1),(202,1),(205,1),(209,1)}
       170:{1,4,5,7}:{(147,1),(151,1),(182,1),(187,1),(189,1)}
       171:{1,3,5,6}:{(147,1),(148,1),(183,1),(187,1),(203,1)}
       172:{1,2,5,6,7}:{(148,1),(149,1),(150,1),(153,1),(184,1),(188,1),(209,1)}
       173:{1,4,6}:{(151,1),(152,1),(185,1),(189,1)}
       174:{1,3,5,7}:{(152,1),(153,1),(154,1),(186,1),(189,1)}
       175:{2,3,5,7}:{(155,1),(156,1),(158,1),(163,1),(190,1),(191,1)}
       176:{1,2,6}:{(156,1),(157,1),(191,1)}
       177:{1,3,6,7}:{(157,1),(160,1),(166,1),(192,1),(196,1)}
       178:{2,4,5}:{(158,1),(167,1),(193,1)}
       179:{2,3,5,6}:{(158,1),(159,1),(161,1),(168,1),(191,1),(193,1),(194,1),(206,1)}
       180:{1,2,5,7}:{(159,1),(160,1),(162,1),(192,1),(194,1)}
       181:{2,3,7}:{(161,1),(162,1)}
       182:{3,4,5,7}:{(163,1),(167,1),(170,1),(190,1),(195,1),(197,1),(208,1)}
       183:{3,6}:{(163,1),(164,1)}
       184:{1,2,4,6,7}:{(164,1),(165,1),(166,1),(169,1),(172,1),(192,1),(196,1),(199,1),(207,1)}
       185:{3,4,6}:{(167,1),(168,1),(173,1),(193,1),(197,1)}
       186:{3,5,7}:{(168,1),(169,1),(196,1),(197,1)}
       187:{1,4,6}:{(170,1),(171,1),(195,1)}
       188:{1,3,5,6,7}:{(171,1),(172,1),(174,1),(196,1),(199,1),(208,1)}
       189:{1,4,7}:{(173,1),(174,1),(197,1)}
       190:{2,4,5,7}:{(175,1),(178,1),(182,1),(200,1),(202,1),(209,1)}
       191:{2,3,6}:{(175,1),(176,1),(183,1),(200,1)}
       192:{1,2,6,7}:{(176,1),(177,1),(180,1),(201,1)}
       193:{2,4,6}:{(178,1),(179,1),(185,1),(202,1)}
       194:{2,3,5,7}:{(179,1),(180,1),(181,1),(186,1),(201,1),(202,1),(209,1)}
       195:{3,4,6}:{(182,1),(183,1),(187,1),(200,1),(203,1)}
       196:{3,6,7}:{(183,1),(184,1),(186,1)}
       197:{3,4,7}:{(185,1),(186,1),(189,1),(202,1)}
       198:{1,4,5,6}:{(187,1),(203,1),(205,1)}
       199:{1,4,6,7}:{(187,1),(188,1),(189,1),(204,1),(205,1)}
       200:{2,4,6}:{(190,1),(191,1),(195,1),(206,1)}
       201:{2,3,6,7}:{(191,1),(192,1),(194,1),(196,1),(207,1)}
       202:{2,4,7}:{(193,1),(194,1),(197,1)}
       203:{3,5,6}:{(195,1),(198,1),(206,1),(208,1)}
       204:{3,4,6,7}:{(195,1),(196,1),(197,1),(199,1),(207,1),(208,1)}
       205:{1,4,5,7}:{(198,1),(199,1),(208,1)}
       206:{2,5,6}:{(200,1),(203,1),(209,1)}
       207:{2,4,6,7}:{(200,1),(201,1),(202,1),(204,1),(209,1)}
       208:{3,5,7}:{(203,1),(204,1),(205,1),(209,1)}
       209:{2,5,7}:{(206,1),(207,1),(208,1)}

1794 :   0:{1,2,3,6,7}:{(2,1),(3,1),(33,1),(46,1),(81,1),(82,1),(83,1),(104,1)}
         1:{1,3,4,6,7}:{(3,1),(4,1),(13,1),(17,1),(35,1),(46,1),(49,1),(83,1),(99,1),(104,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(24,1),(27,1),(50,1),(63,1),(90,1),(91,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(8,1),(28,1),(52,1),(67,1),(94,1),(95,1),(103,1)}
         4:{1,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(27,1),(54,1),(58,1)}
         5:{1,2,3,5,6}:{(2,1),(11,1),(15,1),(33,1),(36,1),(46,1),(72,1),(73,1),(74,1),(81,1)}
         6:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(34,1),(41,1),(46,1),(80,1),(82,1),(98,1),(104,1)}
         7:{1,2,4,7}:{(2,1),(11,1),(13,1),(68,1),(98,1),(99,1)}
         8:{1,2,5,7}:{(3,1),(4,1),(12,1),(15,1),(72,1),(76,1),(101,1)}
         9:{1,4,5,7}:{(4,1),(16,1),(17,1),(70,1),(99,1)}
        10:{1,3,5,6}:{(4,1),(15,1),(17,1),(38,1),(46,1)}
        11:{1,2,4,6}:{(5,1),(7,1),(19,1),(20,1),(86,1),(87,1)}
        12:{2,3,5,7}:{(6,1),(8,1),(22,1),(23,1),(27,1),(53,1),(93,1)}
        13:{3,4,7}:{(7,1),(19,1),(27,1),(84,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(20,1),(22,1),(27,1),(28,1),(30,1),(60,1),(63,1),(85,1),(103,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(23,1),(28,1),(57,1),(92,1)}
        16:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(51,1),(58,1),(88,1)}
        17:{1,4,6}:{(9,1),(10,1),(31,1)}
        18:{1,3,5,6,7}:{(10,1),(29,1),(32,1),(58,1),(66,1),(91,1)}
        19:{3,4,6}:{(11,1),(13,1),(36,1),(46,1)}
        20:{1,2,4,5}:{(11,1),(36,1),(69,1),(70,1),(72,1)}
        21:{1,4,5,6}:{(17,1),(38,1),(39,1)}
        22:{2,4,5,7}:{(12,1),(40,1),(41,1),(69,1),(98,1)}
        23:{2,3,5,6}:{(12,1),(15,1),(41,1),(46,1),(77,1)}
        24:{1,2,3,7}:{(33,1),(43,1),(104,1)}
        25:{2,3,4,7}:{(13,1),(34,1),(43,1),(44,1),(98,1),(104,1)}
        26:{1,3,4,7}:{(13,1),(35,1),(43,1),(45,1),(99,1),(104,1)}
        27:{3,5,7}:{(13,1),(14,1),(36,1),(46,1),(96,1),(104,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(17,1),(41,1),(46,1),(48,1),(79,1),(81,1)}
        29:{1,2,5,6,7}:{(15,1),(18,1),(42,1),(47,1),(76,1),(100,1),(101,1)}
        30:{2,4,5,7}:{(16,1),(44,1),(48,1),(69,1),(76,1),(98,1)}
        31:{3,4,6}:{(16,1),(17,1),(38,1),(46,1),(48,1)}
        32:{1,4,6,7}:{(17,1),(18,1),(39,1),(49,1),(99,1)}
        33:{1,2,3,6}:{(24,1),(50,1),(52,1),(102,1)}
        34:{2,3,4,6}:{(19,1),(25,1),(52,1),(53,1),(64,1),(84,1),(86,1),(102,1)}
        35:{1,3,4,6}:{(19,1),(26,1),(52,1),(54,1),(65,1),(84,1),(87,1),(102,1)}
        36:{3,5}:{(19,1),(20,1)}
        37:{1,2,4,5,6}:{(20,1),(21,1),(28,1),(55,1),(56,1),(57,1),(59,1),(86,1),(87,1),(89,1),(92,1)}
        38:{3,5,6}:{(21,1),(31,1),(57,1),(58,1)}
        39:{1,4,5,7}:{(21,1),(32,1),(58,1)}
        40:{3,4,5,7}:{(22,1),(27,1),(51,1),(60,1),(61,1),(88,1),(93,1)}
        41:{2,4,6}:{(22,1),(23,1),(61,1)}
        42:{2,3,5,6,7}:{(23,1),(29,1),(62,1),(66,1),(90,1),(93,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(26,1),(52,1),(63,1)}
        44:{2,3,5,7}:{(25,1),(27,1),(30,1),(53,1),(63,1),(64,1)}
        45:{1,3,5,7}:{(26,1),(27,1),(54,1),(60,1),(63,1),(65,1)}
        46:{3,6}:{(27,1),(28,1)}
        47:{1,2,4,6,7}:{(28,1),(29,1),(32,1),(56,1),(62,1),(66,1),(67,1),(94,1),(95,1),(103,1)}
        48:{2,4,6}:{(30,1),(31,1),(57,1),(64,1)}
        49:{3,4,6,7}:{(31,1),(32,1),(58,1),(66,1),(67,1),(88,1)}
        50:{1,2,3,5}:{(33,1),(68,1),(72,1),(96,1)}
        51:{3,4,5}:{(36,1),(69,1),(70,1),(71,1),(96,1)}
        52:{1,2,4,6}:{(33,1),(34,1),(35,1),(43,1),(68,1),(72,1),(81,1)}
        53:{2,3,5}:{(34,1),(36,1),(69,1),(72,1),(96,1)}
        54:{1,3,5}:{(35,1),(36,1),(70,1),(72,1),(96,1)}
        55:{3,5,6}:{(36,1),(37,1),(46,1),(71,1),(75,1)}
        56:{1,2,4,5,7}:{(37,1),(39,1),(47,1),(75,1),(76,1),(78,1),(98,1),(99,1),(100,1),(101,1)}
        57:{2,5,6}:{(38,1),(48,1),(76,1)}
        58:{3,5,7}:{(38,1),(39,1),(49,1),(76,1)}
        59:{2,4,5,6}:{(41,1),(77,1),(78,1)}
        60:{1,4,5,7}:{(40,1),(45,1),(70,1),(79,1),(99,1),(101,1)}
        61:{3,4,6}:{(40,1),(41,1),(46,1),(77,1),(79,1)}
        62:{2,4,6,7}:{(41,1),(42,1),(78,1),(80,1),(98,1)}
        63:{1,2,5,7}:{(43,1),(44,1),(45,1),(72,1),(81,1)}
        64:{2,3,6}:{(44,1),(46,1),(48,1),(81,1)}
        65:{1,3,6}:{(45,1),(46,1),(79,1),(81,1)}
        66:{3,6,7}:{(46,1),(47,1),(75,1),(104,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(76,1),(82,1),(98,1)}
        68:{1,2,4}:{(50,1),(84,1)}
        69:{2,4,5}:{(51,1),(53,1),(86,1)}
        70:{1,4,5}:{(51,1),(54,1),(87,1)}
        71:{3,4,6}:{(51,1),(55,1),(86,1),(87,1),(88,1),(102,1)}
        72:{1,2,5}:{(52,1),(53,1),(54,1)}
        73:{2,3,5,6}:{(53,1),(55,1),(57,1),(64,1),(86,1),(89,1),(90,1),(102,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(65,1),(87,1),(89,1),(91,1),(92,1),(102,1)}
        75:{3,5,7}:{(55,1),(56,1),(66,1),(88,1)}
        76:{2,5,7}:{(57,1),(58,1),(67,1)}
        77:{3,5,6}:{(59,1),(61,1),(92,1),(93,1)}
        78:{2,4,5,7}:{(59,1),(62,1),(93,1)}
        79:{1,4,6}:{(60,1),(61,1),(65,1),(92,1)}
        80:{3,4,6,7}:{(61,1),(62,1),(66,1),(88,1),(93,1),(94,1)}
        81:{1,2,6}:{(63,1),(64,1),(65,1)}
        82:{2,3,6,7}:{(64,1),(66,1),(67,1),(90,1),(95,1)}
        83:{1,3,6,7}:{(65,1),(66,1),(91,1),(94,1),(95,1)}
        84:{3,4}:{(68,1),(96,1)}
        85:{1,2,4,5}:{(68,1),(69,1),(70,1),(72,1),(96,1),(97,1)}
        86:{2,4,6}:{(69,1),(71,1),(73,1),(98,1)}
        87:{1,4,6}:{(70,1),(71,1),(74,1),(99,1)}
        88:{3,4,7}:{(71,1),(75,1),(98,1),(99,1),(104,1)}
        89:{1,2,5,6}:{(72,1),(73,1),(74,1),(81,1),(97,1),(100,1)}
        90:{2,3,5,7}:{(73,1),(75,1),(76,1),(82,1),(98,1),(100,1),(104,1)}
        91:{1,3,5,7}:{(74,1),(75,1),(83,1),(99,1),(100,1),(101,1),(104,1)}
        92:{1,5,6}:{(77,1),(79,1),(101,1)}
        93:{3,5,7}:{(77,1),(78,1),(80,1),(101,1)}
        94:{1,4,6,7}:{(79,1),(80,1),(83,1),(99,1),(101,1)}
        95:{1,2,6,7}:{(81,1),(82,1),(83,1),(100,1)}
        96:{3,5}:{(84,1),(85,1),(102,1)}
        97:{1,2,4,6}:{(85,1),(86,1),(87,1),(89,1),(102,1),(103,1)}
        98:{2,4,7}:{(86,1),(88,1),(90,1)}
        99:{1,4,7}:{(87,1),(88,1),(91,1)}
       100:{1,2,5,7}:{(89,1),(90,1),(91,1),(95,1),(103,1)}
       101:{1,5,7}:{(92,1),(93,1),(94,1)}
       102:{3,6}:{(96,1),(97,1),(104,1)}
       103:{1,2,4,7}:{(97,1),(98,1),(99,1),(100,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1795 :   0:{1,3,4,6,7}:{(2,1),(3,1),(14,1),(39,1),(42,1),(45,1),(70,1),(73,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(40,1),(42,1),(45,1),(71,1),(74,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(26,1),(29,1),(55,1),(56,1),(84,1),(87,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(30,1),(49,1),(85,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(8,1),(10,1),(30,1),(50,1),(86,1)}
         5:{1,3,5,6}:{(3,1),(13,1),(14,1),(36,1),(42,1)}
         6:{2,3,5,6}:{(4,1),(13,1),(15,1),(37,1),(42,1)}
         7:{1,2,3,6,7}:{(2,1),(16,1),(42,1),(70,1),(71,1),(75,1),(96,1),(101,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(4,1),(13,1),(65,1),(66,1),(95,1)}
         9:{1,4,5,7}:{(3,1),(14,1),(18,1),(89,1),(92,1)}
        10:{2,4,5,7}:{(4,1),(15,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(5,1),(22,1),(23,1),(49,1),(54,1),(78,1)}
        12:{2,3,5,6,7}:{(6,1),(22,1),(24,1),(50,1),(54,1),(79,1)}
        13:{1,2,5,6}:{(5,1),(6,1),(8,1),(26,1),(52,1),(53,1)}
        14:{1,4,6}:{(5,1),(9,1),(27,1)}
        15:{2,4,6}:{(6,1),(10,1),(28,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(25,1),(29,1),(30,1),(63,1),(78,1),(79,1),(88,1),(100,1)}
        17:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(26,1),(29,1),(30,1),(31,1),(32,1),(57,1),(63,1),(97,1),(98,1)}
        18:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(49,1),(77,1),(80,1)}
        19:{3,4,5,7}:{(10,1),(28,1),(30,1),(32,1),(50,1),(77,1),(80,1)}
        20:{1,4,5,6}:{(14,1),(33,1),(36,1)}
        21:{2,4,5,6}:{(15,1),(34,1),(37,1)}
        22:{1,2,5,6,7}:{(11,1),(12,1),(13,1),(38,1),(65,1),(66,1),(91,1)}
        23:{1,4,6,7}:{(11,1),(14,1),(33,1),(39,1),(89,1)}
        24:{2,4,6,7}:{(12,1),(15,1),(34,1),(40,1),(90,1)}
        25:{1,2,3,5,6}:{(13,1),(16,1),(41,1),(42,1),(68,1),(69,1),(72,1),(75,1),(95,1),(96,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(42,1),(43,1),(44,1),(75,1)}
        27:{3,4,6}:{(14,1),(18,1),(36,1),(42,1),(43,1)}
        28:{3,4,6}:{(15,1),(19,1),(37,1),(42,1),(44,1)}
        29:{1,2,4,7}:{(16,1),(41,1),(45,1),(89,1),(90,1),(103,1)}
        30:{3,5,7}:{(17,1),(42,1),(45,1),(72,1),(101,1),(102,1)}
        31:{2,4,5,7}:{(18,1),(43,1),(47,1),(65,1),(90,1),(93,1)}
        32:{1,4,5,7}:{(19,1),(44,1),(46,1),(66,1),(89,1),(92,1)}
        33:{1,4,5,7}:{(20,1),(23,1),(49,1)}
        34:{2,4,5,7}:{(21,1),(24,1),(50,1)}
        35:{1,2,4,5,6}:{(20,1),(21,1),(26,1),(48,1),(51,1),(52,1),(53,1),(57,1),(81,1),(82,1),(83,1)}
        36:{3,5,6}:{(20,1),(27,1),(49,1),(52,1)}
        37:{3,5,6}:{(21,1),(28,1),(50,1),(53,1)}
        38:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(26,1),(48,1),(54,1),(55,1),(56,1),(84,1),(97,1)}
        39:{3,4,6,7}:{(23,1),(27,1),(49,1),(54,1),(55,1),(77,1)}
        40:{3,4,6,7}:{(24,1),(28,1),(50,1),(54,1),(56,1),(77,1)}
        41:{1,2,4,6}:{(25,1),(29,1),(57,1),(58,1),(81,1),(82,1)}
        42:{3,6}:{(26,1),(30,1)}
        43:{2,4,6}:{(27,1),(31,1),(52,1),(60,1)}
        44:{1,4,6}:{(28,1),(32,1),(53,1),(59,1)}
        45:{3,4,7}:{(29,1),(30,1),(58,1),(104,1)}
        46:{1,3,5,7}:{(30,1),(32,1),(59,1),(61,1),(63,1),(85,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(60,1),(62,1),(63,1),(86,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(38,1),(64,1),(65,1),(66,1),(89,1),(90,1),(91,1)}
        49:{3,5,7}:{(33,1),(36,1),(39,1),(65,1)}
        50:{3,5,7}:{(34,1),(37,1),(40,1),(66,1)}
        51:{3,5,6}:{(35,1),(42,1),(64,1),(67,1),(72,1)}
        52:{2,5,6}:{(36,1),(43,1),(65,1)}
        53:{1,5,6}:{(37,1),(44,1),(66,1)}
        54:{3,6,7}:{(38,1),(42,1),(64,1),(101,1)}
        55:{2,4,6,7}:{(39,1),(43,1),(65,1),(71,1),(90,1)}
        56:{1,4,6,7}:{(40,1),(44,1),(66,1),(70,1),(89,1)}
        57:{1,2,4,5}:{(41,1),(72,1),(92,1),(93,1),(95,1)}
        58:{3,4,6}:{(41,1),(42,1),(45,1),(72,1)}
        59:{1,3,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{2,3,6}:{(42,1),(43,1),(47,1),(75,1)}
        61:{1,3,4,7}:{(45,1),(46,1),(73,1),(76,1),(89,1),(101,1)}
        62:{2,3,4,7}:{(45,1),(47,1),(74,1),(76,1),(90,1),(101,1)}
        63:{1,2,5,7}:{(46,1),(47,1),(75,1),(76,1),(95,1)}
        64:{3,5,7}:{(48,1),(51,1),(54,1),(77,1)}
        65:{2,5,7}:{(49,1),(52,1),(55,1)}
        66:{1,5,7}:{(50,1),(53,1),(56,1)}
        67:{3,4,6}:{(51,1),(77,1),(80,1),(81,1),(82,1),(99,1)}
        68:{1,3,5,6}:{(51,1),(53,1),(59,1),(78,1),(81,1),(83,1),(85,1),(99,1)}
        69:{2,3,5,6}:{(51,1),(52,1),(60,1),(79,1),(82,1),(83,1),(86,1),(99,1)}
        70:{1,3,6,7}:{(54,1),(56,1),(59,1),(78,1),(84,1)}
        71:{2,3,6,7}:{(54,1),(55,1),(60,1),(79,1),(84,1)}
        72:{3,5}:{(57,1),(58,1)}
        73:{1,3,4,6}:{(58,1),(59,1),(61,1),(81,1),(85,1),(87,1),(99,1),(104,1)}
        74:{2,3,4,6}:{(58,1),(60,1),(62,1),(82,1),(86,1),(87,1),(99,1),(104,1)}
        75:{1,2,6}:{(59,1),(60,1),(63,1)}
        76:{1,2,4,7}:{(61,1),(62,1),(63,1),(87,1),(88,1)}
        77:{3,4,7}:{(64,1),(67,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(66,1),(68,1),(70,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(69,1),(71,1),(90,1),(91,1),(101,1)}
        80:{3,4,5}:{(67,1),(72,1),(92,1),(93,1),(102,1)}
        81:{1,4,6}:{(67,1),(68,1),(89,1),(92,1)}
        82:{2,4,6}:{(67,1),(69,1),(90,1),(93,1)}
        83:{1,2,5,6}:{(68,1),(69,1),(75,1),(91,1),(94,1),(95,1)}
        84:{1,2,6,7}:{(70,1),(71,1),(75,1),(91,1)}
        85:{1,3,5}:{(72,1),(73,1),(92,1),(95,1),(102,1)}
        86:{2,3,5}:{(72,1),(74,1),(93,1),(95,1),(102,1)}
        87:{1,2,4,6}:{(73,1),(74,1),(75,1),(76,1),(95,1),(96,1),(103,1)}
        88:{1,2,3,7}:{(76,1),(96,1),(101,1)}
        89:{1,4,7}:{(77,1),(78,1),(81,1)}
        90:{2,4,7}:{(77,1),(79,1),(82,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(83,1),(84,1),(97,1)}
        92:{1,4,5}:{(80,1),(81,1),(85,1)}
        93:{2,4,5}:{(80,1),(82,1),(86,1)}
        94:{1,2,4,6}:{(81,1),(82,1),(83,1),(97,1),(98,1),(99,1)}
        95:{1,2,5}:{(85,1),(86,1),(87,1)}
        96:{1,2,3,6}:{(87,1),(88,1),(99,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(94,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
        99:{3,6}:{(94,1),(101,1),(102,1)}
       100:{1,2,3,5}:{(95,1),(96,1),(102,1),(103,1)}
       101:{3,7}:{(97,1),(99,1)}
       102:{3,5}:{(98,1),(99,1),(104,1)}
       103:{1,2,4}:{(100,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1796 :   0:{4,5,6,7}:{(2,1),(63,1),(230,1)}
         1:{3,4,5,6}:{(3,1),(4,1),(5,1),(28,1),(129,1),(191,1),(220,1)}
         2:{3,5,6,7}:{(0,1),(8,1),(9,1),(10,1),(227,1)}
         3:{3,4,5,7}:{(1,1),(8,1),(13,1),(14,1),(46,1),(94,1)}
         4:{1,4,5,6}:{(1,1),(12,1),(13,1),(201,1),(224,1)}
         5:{2,4,5,6}:{(1,1),(11,1),(14,1),(196,1),(222,1)}
         6:{2,3,4,5}:{(16,1),(17,1),(73,1),(110,1),(174,1)}
         7:{1,3,4,5}:{(18,1),(19,1),(73,1),(119,1),(181,1)}
         8:{3,4,6,7}:{(2,1),(3,1),(20,1),(21,1),(62,1),(63,1),(220,1)}
         9:{1,5,6,7}:{(2,1),(20,1),(229,1)}
        10:{2,5,6,7}:{(2,1),(21,1),(228,1)}
        11:{2,3,5,6}:{(5,1),(16,1),(23,1),(24,1),(28,1),(174,1),(212,1)}
        12:{1,3,5,6}:{(4,1),(18,1),(25,1),(26,1),(28,1),(181,1),(215,1)}
        13:{1,4,5,7}:{(3,1),(4,1),(20,1),(25,1)}
        14:{2,4,5,7}:{(3,1),(5,1),(21,1),(23,1)}
        15:{1,2,4,5,6}:{(4,1),(5,1),(24,1),(26,1),(27,1),(28,1),(69,1),(71,1),(129,1),(136,1),(187,1),(188,1),(193,1)}
        16:{2,3,4,6}:{(6,1),(11,1),(30,1),(31,1),(47,1)}
        17:{1,2,4,5}:{(6,1),(31,1),(32,1),(79,1),(102,1),(146,1)}
        18:{1,3,4,6}:{(7,1),(12,1),(34,1),(35,1),(47,1)}
        19:{1,2,4,5}:{(7,1),(35,1),(36,1),(87,1),(104,1),(154,1)}
        20:{1,4,6,7}:{(8,1),(9,1),(13,1),(38,1),(224,1)}
        21:{2,4,6,7}:{(8,1),(10,1),(14,1),(37,1),(222,1)}
        22:{1,2,5,6,7}:{(9,1),(10,1),(39,1),(40,1),(159,1),(160,1),(206,1)}
        23:{2,3,5,7}:{(11,1),(14,1),(30,1),(37,1),(42,1),(46,1)}
        24:{1,2,5,6}:{(11,1),(31,1),(42,1),(43,1),(146,1),(198,1)}
        25:{1,3,5,7}:{(12,1),(13,1),(34,1),(38,1),(44,1),(46,1)}
        26:{1,2,5,6}:{(12,1),(35,1),(44,1),(45,1),(154,1),(203,1)}
        27:{1,2,4,5,7}:{(13,1),(14,1),(15,1),(39,1),(42,1),(44,1),(46,1),(94,1),(101,1),(103,1),(159,1),(160,1)}
        28:{3,5,6}:{(15,1),(46,1),(47,1),(166,1),(209,1)}
        29:{1,3,4,5}:{(48,1),(49,1),(53,1),(114,1),(191,1)}
        30:{2,3,4,7}:{(16,1),(23,1),(51,1),(72,1)}
        31:{1,2,4,6}:{(16,1),(17,1),(24,1),(51,1),(52,1),(69,1)}
        32:{1,3,5}:{(17,1),(52,1),(53,1)}
        33:{2,3,4,5}:{(54,1),(55,1),(59,1),(123,1),(191,1)}
        34:{1,3,4,7}:{(18,1),(25,1),(57,1),(72,1)}
        35:{1,2,4,6}:{(18,1),(19,1),(26,1),(57,1),(58,1),(71,1)}
        36:{2,3,5}:{(19,1),(58,1),(59,1)}
        37:{2,3,6,7}:{(21,1),(23,1),(60,1),(62,1),(212,1)}
        38:{1,3,6,7}:{(20,1),(25,1),(61,1),(62,1),(215,1)}
        39:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(27,1),(60,1),(61,1),(62,1),(63,1),(126,1),(127,1),(193,1)}
        40:{3,5,6,7}:{(22,1),(62,1),(63,1),(128,1),(218,1)}
        41:{3,4,5,6}:{(64,1),(65,1),(66,1),(73,1),(133,1),(139,1),(230,1)}
        42:{1,2,5,7}:{(23,1),(24,1),(51,1),(60,1),(68,1)}
        43:{1,3,5,6}:{(24,1),(28,1),(52,1),(68,1),(69,1),(114,1),(176,1),(187,1)}
        44:{1,2,5,7}:{(25,1),(26,1),(57,1),(61,1),(70,1)}
        45:{2,3,5,6}:{(26,1),(28,1),(58,1),(70,1),(71,1),(123,1),(183,1),(188,1)}
        46:{3,5,7}:{(27,1),(28,1),(62,1),(72,1)}
        47:{3,4,6}:{(28,1),(69,1),(71,1),(72,1),(73,1)}
        48:{1,3,4,6}:{(29,1),(74,1),(75,1),(76,1),(164,1)}
        49:{1,2,4,5}:{(29,1),(76,1),(77,1),(79,1),(146,1),(196,1)}
        50:{1,2,3,5}:{(32,1),(77,1),(78,1),(79,1),(146,1)}
        51:{1,2,4,7}:{(30,1),(31,1),(42,1),(80,1),(101,1)}
        52:{1,3,6}:{(31,1),(32,1),(80,1)}
        53:{1,3,4}:{(32,1),(79,1)}
        54:{2,3,4,6}:{(33,1),(82,1),(83,1),(84,1),(164,1)}
        55:{1,2,4,5}:{(33,1),(84,1),(85,1),(87,1),(154,1),(201,1)}
        56:{1,2,3,5}:{(36,1),(85,1),(86,1),(87,1),(154,1)}
        57:{1,2,4,7}:{(34,1),(35,1),(44,1),(88,1),(103,1)}
        58:{2,3,6}:{(35,1),(36,1),(88,1)}
        59:{2,3,4}:{(36,1),(87,1)}
        60:{1,2,6,7}:{(37,1),(42,1),(91,1),(198,1)}
        61:{1,2,6,7}:{(38,1),(44,1),(92,1),(203,1)}
        62:{3,6,7}:{(39,1),(46,1),(209,1)}
        63:{4,6,7}:{(40,1),(94,1),(226,1)}
        64:{3,4,5,7}:{(41,1),(95,1),(96,1),(97,1),(163,1),(225,1)}
        65:{1,4,5,6}:{(41,1),(74,1),(96,1),(102,1),(168,1)}
        66:{2,4,5,6}:{(41,1),(82,1),(97,1),(104,1),(169,1)}
        67:{1,2,3,5,6}:{(43,1),(45,1),(78,1),(86,1),(99,1),(100,1),(142,1),(146,1),(150,1),(154,1),(166,1),(198,1),(203,1),(206,1),(209,1)}
        68:{1,3,5,7}:{(42,1),(43,1),(46,1),(80,1),(91,1),(101,1),(159,1)}
        69:{1,4,6}:{(43,1),(47,1),(101,1),(102,1)}
        70:{2,3,5,7}:{(44,1),(45,1),(46,1),(88,1),(92,1),(103,1),(160,1)}
        71:{2,4,6}:{(45,1),(47,1),(103,1),(104,1)}
        72:{3,4,7}:{(46,1),(47,1),(101,1),(103,1)}
        73:{3,4,5}:{(47,1),(102,1),(104,1),(166,1)}
        74:{1,3,5,6}:{(48,1),(65,1),(106,1),(107,1),(114,1),(133,1),(176,1)}
        75:{1,3,4,7}:{(48,1),(106,1),(108,1),(190,1)}
        76:{1,2,4,6}:{(48,1),(49,1),(107,1),(108,1),(109,1),(172,1)}
        77:{2,3,5}:{(49,1),(109,1),(110,1)}
        78:{1,2,3,6}:{(50,1),(52,1),(109,1),(111,1),(112,1)}
        79:{1,2,4}:{(50,1),(53,1),(110,1)}
        80:{1,3,7}:{(51,1),(52,1)}
        81:{1,3,4,6}:{(52,1),(53,1),(69,1),(112,1),(113,1),(114,1),(134,1),(176,1)}
        82:{2,3,5,6}:{(54,1),(66,1),(115,1),(116,1),(123,1),(133,1),(183,1)}
        83:{2,3,4,7}:{(54,1),(115,1),(117,1),(190,1)}
        84:{1,2,4,6}:{(54,1),(55,1),(116,1),(117,1),(118,1),(179,1)}
        85:{1,3,5}:{(55,1),(118,1),(119,1)}
        86:{1,2,3,6}:{(56,1),(58,1),(118,1),(120,1),(121,1)}
        87:{1,2,4}:{(56,1),(59,1),(119,1)}
        88:{2,3,7}:{(57,1),(58,1)}
        89:{2,3,4,6}:{(58,1),(59,1),(71,1),(121,1),(122,1),(123,1),(134,1),(183,1)}
        90:{4,5,6,7}:{(124,1),(129,1),(216,1)}
        91:{1,3,6,7}:{(60,1),(62,1),(68,1),(126,1),(176,1)}
        92:{2,3,6,7}:{(61,1),(62,1),(70,1),(127,1),(183,1)}
        93:{3,4,6,7}:{(62,1),(63,1),(72,1),(126,1),(127,1),(128,1),(139,1)}
        94:{4,5,7}:{(63,1),(128,1),(129,1)}
        95:{3,4,6,7}:{(64,1),(124,1),(130,1),(131,1),(139,1),(189,1),(216,1)}
        96:{1,4,5,7}:{(64,1),(65,1),(106,1),(130,1)}
        97:{2,4,5,7}:{(64,1),(66,1),(115,1),(131,1)}
        98:{1,2,4,5,6}:{(65,1),(66,1),(107,1),(116,1),(132,1),(133,1),(136,1),(172,1),(179,1),(193,1),(228,1),(229,1),(230,1)}
        99:{1,2,3,5,7}:{(67,1),(68,1),(70,1),(111,1),(120,1),(125,1),(135,1),(171,1),(175,1),(178,1),(182,1),(186,1),(192,1)}
       100:{1,2,4,6}:{(67,1),(69,1),(71,1),(134,1),(135,1),(136,1),(172,1),(179,1)}
       101:{1,4,7}:{(68,1),(69,1),(72,1)}
       102:{1,4,5}:{(69,1),(73,1),(114,1)}
       103:{2,4,7}:{(70,1),(71,1),(72,1)}
       104:{2,4,5}:{(71,1),(73,1),(123,1)}
       105:{3,4,5,7}:{(72,1),(73,1),(128,1),(137,1),(138,1),(139,1),(192,1),(217,1)}
       106:{1,3,5,7}:{(74,1),(75,1),(96,1),(140,1),(141,1),(163,1)}
       107:{1,2,5,6}:{(74,1),(76,1),(141,1),(142,1),(146,1),(198,1)}
       108:{1,2,4,7}:{(75,1),(76,1),(141,1),(143,1),(195,1)}
       109:{2,3,6}:{(76,1),(77,1),(143,1)}
       110:{2,3,4}:{(77,1),(79,1)}
       111:{1,2,3,7}:{(78,1),(80,1),(143,1),(145,1)}
       112:{1,2,4,6}:{(78,1),(79,1),(81,1),(144,1),(145,1),(146,1),(198,1)}
       113:{1,3,4,7}:{(80,1),(81,1),(101,1),(145,1),(147,1),(165,1)}
       114:{1,3,5}:{(81,1),(102,1),(146,1),(166,1)}
       115:{2,3,5,7}:{(82,1),(83,1),(97,1),(148,1),(149,1),(163,1)}
       116:{1,2,5,6}:{(82,1),(84,1),(149,1),(150,1),(154,1),(203,1)}
       117:{1,2,4,7}:{(83,1),(84,1),(149,1),(151,1),(200,1)}
       118:{1,3,6}:{(84,1),(85,1),(151,1)}
       119:{1,3,4}:{(85,1),(87,1)}
       120:{1,2,3,7}:{(86,1),(88,1),(151,1),(153,1)}
       121:{1,2,4,6}:{(86,1),(87,1),(89,1),(152,1),(153,1),(154,1),(203,1)}
       122:{2,3,4,7}:{(88,1),(89,1),(103,1),(153,1),(155,1),(165,1)}
       123:{2,3,5}:{(89,1),(104,1),(154,1),(166,1)}
       124:{3,5,6,7}:{(90,1),(95,1),(156,1),(157,1),(161,1)}
       125:{1,2,3,6,7}:{(91,1),(92,1),(99,1),(158,1),(194,1),(198,1),(199,1),(203,1),(209,1)}
       126:{1,4,6,7}:{(91,1),(93,1),(101,1),(159,1),(168,1)}
       127:{2,4,6,7}:{(92,1),(93,1),(103,1),(160,1),(169,1)}
       128:{3,5,7}:{(93,1),(94,1),(159,1),(160,1),(161,1)}
       129:{4,5,6}:{(94,1),(161,1),(226,1)}
       130:{1,4,6,7}:{(95,1),(96,1),(140,1),(156,1),(168,1)}
       131:{2,4,6,7}:{(95,1),(97,1),(148,1),(157,1),(169,1)}
       132:{1,2,4,5,7}:{(96,1),(97,1),(98,1),(141,1),(149,1),(162,1),(163,1),(195,1),(200,1),(221,1),(223,1),(225,1)}
       133:{3,5,6}:{(98,1),(163,1),(164,1),(166,1),(209,1)}
       134:{3,4,6}:{(100,1),(165,1),(166,1),(209,1)}
       135:{1,2,4,7}:{(99,1),(100,1),(101,1),(103,1),(165,1),(195,1),(200,1)}
       136:{1,2,4,5}:{(100,1),(102,1),(104,1),(146,1),(154,1),(166,1),(196,1),(201,1)}
       137:{1,4,5,7}:{(101,1),(102,1),(105,1),(147,1),(159,1),(168,1)}
       138:{2,4,5,7}:{(103,1),(104,1),(105,1),(155,1),(160,1),(169,1)}
       139:{3,4,6}:{(105,1),(161,1),(168,1),(169,1),(209,1),(226,1)}
       140:{1,3,6,7}:{(106,1),(130,1),(170,1),(176,1),(189,1)}
       141:{1,2,5,7}:{(106,1),(107,1),(108,1),(170,1),(171,1)}
       142:{2,3,5,6}:{(107,1),(109,1),(133,1),(171,1),(172,1),(174,1),(212,1),(228,1)}
       143:{2,3,7}:{(108,1),(109,1)}
       144:{2,3,4,6}:{(109,1),(110,1),(112,1),(134,1),(172,1),(173,1),(174,1),(212,1)}
       145:{1,2,4,7}:{(111,1),(112,1),(113,1),(173,1),(175,1)}
       146:{1,2,5}:{(112,1),(114,1),(174,1)}
       147:{1,3,5,7}:{(113,1),(114,1),(137,1),(175,1),(176,1),(192,1)}
       148:{2,3,6,7}:{(115,1),(131,1),(177,1),(183,1),(189,1)}
       149:{1,2,5,7}:{(115,1),(116,1),(117,1),(177,1),(178,1)}
       150:{1,3,5,6}:{(116,1),(118,1),(133,1),(178,1),(179,1),(181,1),(215,1),(229,1)}
       151:{1,3,7}:{(117,1),(118,1)}
       152:{1,3,4,6}:{(118,1),(119,1),(121,1),(134,1),(179,1),(180,1),(181,1),(215,1)}
       153:{1,2,4,7}:{(120,1),(121,1),(122,1),(180,1),(182,1)}
       154:{1,2,5}:{(121,1),(123,1),(181,1)}
       155:{2,3,5,7}:{(122,1),(123,1),(138,1),(182,1),(183,1),(192,1)}
       156:{1,5,6,7}:{(124,1),(130,1),(187,1)}
       157:{2,5,6,7}:{(124,1),(131,1),(188,1)}
       158:{1,2,4,6,7}:{(125,1),(126,1),(127,1),(135,1),(185,1),(186,1),(193,1),(210,1),(213,1)}
       159:{1,5,7}:{(126,1),(128,1),(187,1)}
       160:{2,5,7}:{(127,1),(128,1),(188,1)}
       161:{3,5,6}:{(128,1),(129,1),(139,1),(187,1),(188,1)}
       162:{1,2,4,6,7}:{(130,1),(131,1),(132,1),(170,1),(177,1),(184,1),(189,1),(193,1),(210,1),(213,1),(216,1)}
       163:{3,5,7}:{(132,1),(133,1),(189,1),(190,1)}
       164:{3,4,6}:{(133,1),(172,1),(179,1),(190,1),(191,1)}
       165:{3,4,7}:{(134,1),(135,1),(192,1)}
       166:{3,5}:{(134,1),(136,1)}
       167:{1,2,4,5,7}:{(135,1),(136,1),(137,1),(138,1),(175,1),(182,1),(186,1),(192,1),(193,1),(211,1),(214,1),(217,1)}
       168:{1,4,6}:{(137,1),(139,1),(176,1),(187,1)}
       169:{2,4,6}:{(138,1),(139,1),(183,1),(188,1)}
       170:{1,2,6,7}:{(140,1),(141,1),(194,1),(198,1)}
       171:{2,3,5,7}:{(141,1),(142,1),(143,1),(163,1),(194,1),(195,1),(221,1)}
       172:{2,4,6}:{(142,1),(164,1),(195,1),(196,1)}
       173:{2,3,4,7}:{(143,1),(144,1),(145,1),(165,1),(195,1),(197,1)}
       174:{2,3,5}:{(144,1),(146,1),(166,1),(196,1)}
       175:{1,2,5,7}:{(145,1),(146,1),(147,1),(197,1),(198,1)}
       176:{1,3,6}:{(147,1),(168,1),(198,1),(209,1)}
       177:{1,2,6,7}:{(148,1),(149,1),(199,1),(203,1)}
       178:{1,3,5,7}:{(149,1),(150,1),(151,1),(163,1),(199,1),(200,1),(223,1)}
       179:{1,4,6}:{(150,1),(164,1),(200,1),(201,1)}
       180:{1,3,4,7}:{(151,1),(152,1),(153,1),(165,1),(200,1),(202,1)}
       181:{1,3,5}:{(152,1),(154,1),(166,1),(201,1)}
       182:{1,2,5,7}:{(153,1),(154,1),(155,1),(202,1),(203,1)}
       183:{2,3,6}:{(155,1),(169,1),(203,1),(209,1)}
       184:{1,2,5,6,7}:{(156,1),(157,1),(162,1),(204,1),(206,1),(221,1),(223,1)}
       185:{3,4,6,7}:{(158,1),(165,1),(205,1),(209,1),(226,1)}
       186:{1,2,5,7}:{(158,1),(159,1),(160,1),(205,1),(206,1),(221,1),(223,1)}
       187:{1,5,6}:{(159,1),(161,1),(168,1)}
       188:{2,5,6}:{(160,1),(161,1),(169,1)}
       189:{3,6,7}:{(162,1),(163,1),(209,1)}
       190:{3,4,7}:{(163,1),(164,1),(195,1),(200,1)}
       191:{3,4,5}:{(164,1),(166,1),(196,1),(201,1)}
       192:{3,5,7}:{(165,1),(166,1),(167,1),(209,1)}
       193:{1,2,4,6}:{(167,1),(168,1),(169,1),(198,1),(203,1),(206,1),(209,1),(222,1),(224,1),(226,1)}
       194:{2,3,6,7}:{(170,1),(171,1),(189,1),(210,1),(212,1)}
       195:{2,4,7}:{(171,1),(172,1),(190,1)}
       196:{2,4,5}:{(172,1),(174,1),(191,1)}
       197:{2,3,5,7}:{(173,1),(174,1),(175,1),(192,1),(211,1),(212,1)}
       198:{1,2,6}:{(175,1),(176,1),(212,1)}
       199:{1,3,6,7}:{(177,1),(178,1),(189,1),(213,1),(215,1)}
       200:{1,4,7}:{(178,1),(179,1),(190,1)}
       201:{1,4,5}:{(179,1),(181,1),(191,1)}
       202:{1,3,5,7}:{(180,1),(181,1),(182,1),(192,1),(214,1),(215,1)}
       203:{1,2,6}:{(182,1),(183,1),(215,1)}
       204:{3,5,6,7}:{(184,1),(189,1),(216,1),(218,1),(219,1)}
       205:{3,5,7}:{(185,1),(186,1),(217,1),(218,1)}
       206:{1,2,5,6}:{(186,1),(187,1),(188,1),(193,1),(218,1),(228,1),(229,1)}
       207:{3,4,6,7}:{(189,1),(190,1),(210,1),(213,1),(216,1),(219,1),(220,1)}
       208:{3,4,5,7}:{(190,1),(191,1),(192,1),(211,1),(214,1),(217,1),(219,1),(220,1)}
       209:{3,6}:{(192,1),(193,1)}
       210:{2,4,6,7}:{(194,1),(195,1),(207,1),(221,1),(222,1)}
       211:{2,4,5,7}:{(195,1),(196,1),(197,1),(208,1),(221,1),(222,1)}
       212:{2,3,6}:{(197,1),(198,1),(209,1),(222,1)}
       213:{1,4,6,7}:{(199,1),(200,1),(207,1),(223,1),(224,1)}
       214:{1,4,5,7}:{(200,1),(201,1),(202,1),(208,1),(223,1),(224,1)}
       215:{1,3,6}:{(202,1),(203,1),(209,1),(224,1)}
       216:{4,6,7}:{(204,1),(225,1),(226,1)}
       217:{4,5,7}:{(205,1),(226,1)}
       218:{3,5,6}:{(205,1),(206,1),(209,1),(226,1)}
       219:{3,5,7}:{(207,1),(221,1),(223,1),(225,1),(227,1)}
       220:{3,4,6}:{(208,1),(209,1),(222,1),(224,1),(226,1),(227,1)}
       221:{2,5,7}:{(210,1),(219,1),(228,1)}
       222:{2,4,6}:{(211,1),(212,1),(220,1),(228,1)}
       223:{1,5,7}:{(213,1),(219,1),(229,1)}
       224:{1,4,6}:{(214,1),(215,1),(220,1),(229,1)}
       225:{4,5,7}:{(216,1),(219,1),(230,1)}
       226:{4,6}:{(217,1),(218,1)}
       227:{3,5,6}:{(219,1),(220,1),(228,1),(229,1),(230,1)}
       228:{2,5,6}:{(221,1),(222,1),(227,1)}
       229:{1,5,6}:{(223,1),(224,1),(227,1)}
       230:{4,5,6}:{(225,1),(226,1),(227,1)}

1797 :   0:{1,2,4,5,6}:{(2,1),(3,1),(16,1),(17,1),(18,1),(38,1),(47,1),(74,1),(75,1),(78,1),(102,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(58,1),(59,1),(87,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(21,1),(26,1),(27,1),(28,1),(58,1),(59,1)}
         3:{3,5,6}:{(0,1),(6,1),(7,1),(65,1),(89,1),(101,1)}
         4:{3,5,6,7}:{(1,1),(10,1),(11,1),(39,1),(95,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(10,1),(11,1),(40,1),(41,1),(42,1),(78,1)}
         6:{3,5,7}:{(2,1),(3,1),(11,1),(12,1)}
         7:{3,4,6}:{(3,1),(12,1),(15,1),(16,1),(17,1),(48,1),(80,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(16,1),(18,1),(33,1),(48,1),(66,1),(73,1),(74,1),(93,1),(95,1),(103,1)}
         9:{2,3,5,6}:{(3,1),(14,1),(17,1),(18,1),(36,1),(48,1),(69,1),(70,1),(75,1),(91,1),(95,1),(102,1)}
        10:{4,6,7}:{(4,1),(21,1),(100,1)}
        11:{3,6,7}:{(5,1),(6,1),(89,1)}
        12:{3,4,7}:{(6,1),(7,1),(26,1),(27,1),(64,1)}
        13:{1,3,5,7}:{(6,1),(8,1),(23,1),(26,1),(28,1),(58,1),(64,1),(88,1)}
        14:{2,3,5,7}:{(6,1),(9,1),(24,1),(27,1),(28,1),(59,1),(64,1),(88,1)}
        15:{3,4,5}:{(7,1),(29,1),(30,1),(65,1),(101,1)}
        16:{1,4,6}:{(7,1),(8,1),(26,1),(29,1),(86,1),(100,1)}
        17:{2,4,6}:{(7,1),(9,1),(27,1),(30,1),(83,1),(100,1)}
        18:{1,2,5,6}:{(8,1),(9,1),(28,1),(31,1),(51,1),(55,1),(81,1),(84,1)}
        19:{1,3,4,6}:{(16,1),(32,1),(33,1),(34,1),(48,1),(66,1),(80,1),(97,1)}
        20:{2,3,4,6}:{(17,1),(35,1),(36,1),(37,1),(48,1),(70,1),(80,1),(97,1)}
        21:{4,5,7}:{(10,1),(38,1),(39,1),(96,1),(104,1)}
        22:{3,4,6,7}:{(10,1),(11,1),(12,1),(39,1),(40,1),(41,1),(43,1),(77,1),(96,1),(97,1)}
        23:{1,3,6,7}:{(11,1),(13,1),(40,1),(42,1),(66,1),(77,1),(93,1)}
        24:{2,3,6,7}:{(11,1),(14,1),(41,1),(42,1),(70,1),(77,1),(91,1)}
        25:{3,4,5,7}:{(12,1),(15,1),(39,1),(43,1),(44,1),(45,1),(79,1),(96,1),(104,1)}
        26:{1,4,7}:{(12,1),(13,1),(16,1),(96,1)}
        27:{2,4,7}:{(12,1),(14,1),(17,1),(96,1)}
        28:{1,2,5,7}:{(13,1),(14,1),(18,1),(42,1),(46,1)}
        29:{1,4,5}:{(15,1),(16,1),(33,1),(103,1),(104,1)}
        30:{2,4,5}:{(15,1),(17,1),(36,1),(102,1),(104,1)}
        31:{1,2,4,6}:{(16,1),(17,1),(18,1),(46,1),(47,1),(48,1)}
        32:{1,3,4,7}:{(19,1),(26,1),(49,1),(50,1),(64,1),(90,1)}
        33:{1,3,5}:{(19,1),(29,1),(51,1),(65,1),(101,1)}
        34:{1,2,4,6}:{(19,1),(50,1),(51,1),(52,1),(81,1),(83,1),(98,1)}
        35:{2,3,4,7}:{(20,1),(27,1),(53,1),(54,1),(64,1),(90,1)}
        36:{2,3,5}:{(20,1),(30,1),(55,1),(65,1),(101,1)}
        37:{1,2,4,6}:{(20,1),(54,1),(55,1),(56,1),(84,1),(86,1),(99,1)}
        38:{4,5,6}:{(21,1),(57,1),(100,1)}
        39:{3,5,7}:{(21,1),(22,1),(57,1),(58,1),(59,1),(101,1)}
        40:{1,4,6,7}:{(22,1),(23,1),(26,1),(58,1),(61,1),(99,1)}
        41:{2,4,6,7}:{(22,1),(24,1),(27,1),(59,1),(62,1),(98,1)}
        42:{1,2,6,7}:{(23,1),(24,1),(28,1),(81,1),(84,1)}
        43:{3,4,6}:{(25,1),(57,1),(61,1),(62,1),(89,1),(100,1)}
        44:{1,4,5,7}:{(25,1),(26,1),(29,1),(49,1),(58,1),(61,1)}
        45:{2,4,5,7}:{(25,1),(27,1),(30,1),(53,1),(59,1),(62,1)}
        46:{1,2,4,7}:{(26,1),(27,1),(28,1),(31,1),(64,1)}
        47:{1,2,4,5}:{(29,1),(30,1),(31,1),(51,1),(55,1),(65,1),(83,1),(86,1)}
        48:{3,6}:{(31,1),(64,1),(65,1)}
        49:{1,3,5,7}:{(32,1),(33,1),(44,1),(66,1),(67,1),(79,1)}
        50:{1,2,4,7}:{(32,1),(34,1),(67,1),(68,1),(92,1)}
        51:{1,2,5}:{(33,1),(34,1),(69,1),(102,1)}
        52:{2,3,6}:{(34,1),(48,1),(68,1),(69,1)}
        53:{2,3,5,7}:{(35,1),(36,1),(45,1),(70,1),(71,1),(79,1)}
        54:{1,2,4,7}:{(35,1),(37,1),(71,1),(72,1),(94,1)}
        55:{1,2,5}:{(36,1),(37,1),(73,1),(103,1)}
        56:{1,3,6}:{(37,1),(48,1),(72,1),(73,1)}
        57:{3,5,6}:{(38,1),(39,1),(43,1),(74,1),(75,1)}
        58:{1,5,7}:{(39,1),(40,1),(74,1),(103,1)}
        59:{2,5,7}:{(39,1),(41,1),(75,1),(102,1)}
        60:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(46,1),(76,1),(77,1),(78,1),(96,1)}
        61:{1,4,6}:{(43,1),(44,1),(66,1),(74,1)}
        62:{2,4,6}:{(43,1),(45,1),(70,1),(75,1)}
        63:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(47,1),(67,1),(71,1),(76,1),(78,1),(79,1),(92,1),(94,1),(96,1),(102,1),(103,1),(104,1)}
        64:{3,7}:{(46,1),(48,1)}
        65:{3,5}:{(47,1),(48,1),(80,1)}
        66:{1,3,6}:{(49,1),(61,1),(81,1),(89,1)}
        67:{1,2,5,7}:{(49,1),(50,1),(51,1),(81,1),(82,1)}
        68:{2,3,7}:{(50,1),(52,1),(64,1)}
        69:{2,3,5}:{(51,1),(52,1),(65,1),(83,1)}
        70:{2,3,6}:{(53,1),(62,1),(84,1),(89,1)}
        71:{1,2,5,7}:{(53,1),(54,1),(55,1),(84,1),(85,1)}
        72:{1,3,7}:{(54,1),(56,1),(64,1)}
        73:{1,3,5}:{(55,1),(56,1),(65,1),(86,1)}
        74:{1,5,6}:{(57,1),(58,1),(61,1)}
        75:{2,5,6}:{(57,1),(59,1),(62,1)}
        76:{1,2,5,7}:{(58,1),(59,1),(60,1),(87,1),(88,1)}
        77:{3,6,7}:{(60,1),(64,1),(88,1),(89,1)}
        78:{1,2,4,6}:{(61,1),(62,1),(63,1),(81,1),(84,1),(87,1),(89,1),(98,1),(99,1),(100,1)}
        79:{3,5,7}:{(63,1),(64,1),(65,1),(89,1),(90,1),(101,1)}
        80:{3,4}:{(65,1),(83,1),(86,1)}
        81:{1,2,6}:{(66,1),(67,1),(91,1)}
        82:{2,3,5,7}:{(67,1),(68,1),(69,1),(79,1),(91,1),(92,1),(102,1)}
        83:{2,4}:{(69,1),(80,1)}
        84:{1,2,6}:{(70,1),(71,1),(93,1)}
        85:{1,3,5,7}:{(71,1),(72,1),(73,1),(79,1),(93,1),(94,1),(103,1)}
        86:{1,4}:{(73,1),(80,1)}
        87:{1,2,5,6}:{(74,1),(75,1),(76,1),(78,1),(95,1),(102,1),(103,1)}
        88:{3,5,7}:{(76,1),(77,1),(95,1),(96,1)}
        89:{3,6}:{(78,1),(79,1)}
        90:{3,4,7}:{(79,1),(80,1),(92,1),(94,1),(96,1),(97,1)}
        91:{2,3,6}:{(81,1),(82,1),(89,1),(98,1)}
        92:{2,4,7}:{(82,1),(83,1),(90,1),(98,1)}
        93:{1,3,6}:{(84,1),(85,1),(89,1),(99,1)}
        94:{1,4,7}:{(85,1),(86,1),(90,1),(99,1)}
        95:{3,5,6}:{(87,1),(88,1),(89,1),(100,1),(101,1)}
        96:{4,7}:{(88,1),(100,1)}
        97:{3,4,6}:{(89,1),(90,1),(98,1),(99,1),(100,1),(101,1)}
        98:{2,4,6}:{(91,1),(92,1),(97,1),(102,1)}
        99:{1,4,6}:{(93,1),(94,1),(97,1),(103,1)}
       100:{4,6}:{(95,1),(96,1),(104,1)}
       101:{3,5}:{(97,1),(102,1),(103,1),(104,1)}
       102:{2,5}:{(98,1),(101,1)}
       103:{1,5}:{(99,1),(101,1)}
       104:{4,5}:{(100,1),(101,1)}

1798 :  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:{3,4,5}:{(2,1),(7,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
        6:{1,2,3,7}:{(3,1),(9,1)}
        7:{3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,5,6}:{(5,1),(10,1),(12,1)}
        9:{1,2,4,7}:{(5,1),(6,1),(11,1),(12,1)}
       10:{3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{3,4,7}:{(7,1),(9,1),(14,1)}
       12:{1,2,5,7}:{(8,1),(9,1),(14,1),(15,1)}
       13:{4,5,6}:{(10,1),(16,1)}
       14:{3,5,7}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
       15:{1,2,6,7}:{(12,1),(17,1)}
       16:{4,5,7}:{(13,1),(14,1),(18,1)}
       17:{3,6,7}:{(14,1),(15,1),(18,1)}
       18:{4,6,7}:{(16,1),(17,1),(19,1)}
       19:{5,6,7}:{(18,1)}

1799 :   0:{1,2,5,6,7}:{(2,1),(3,1),(38,1),(39,1),(70,1)}
         1:{1,2,4,5,6}:{(4,1),(5,1),(20,1),(21,1),(22,1),(23,1),(51,1),(53,1),(54,1),(80,1),(99,1),(103,1),(104,1)}
         2:{3,5,6,7}:{(0,1),(6,1),(7,1),(24,1),(83,1)}
         3:{1,2,4,6,7}:{(0,1),(4,1),(6,1),(7,1),(25,1),(26,1),(27,1),(80,1)}
         4:{1,2,4,5,7}:{(1,1),(3,1),(8,1),(12,1),(31,1),(32,1),(33,1),(38,1),(39,1)}
         5:{3,5,6}:{(1,1),(8,1),(9,1),(69,1),(91,1),(102,1)}
         6:{4,6,7}:{(2,1),(12,1),(93,1)}
         7:{3,6,7}:{(3,1),(8,1),(91,1)}
         8:{3,5,7}:{(4,1),(5,1),(7,1),(16,1)}
         9:{3,4,6}:{(5,1),(16,1),(19,1),(20,1),(21,1),(52,1),(82,1)}
        10:{1,3,5,6}:{(5,1),(17,1),(20,1),(22,1),(42,1),(52,1),(53,1),(72,1),(79,1),(83,1),(96,1),(104,1)}
        11:{2,3,5,6}:{(5,1),(18,1),(21,1),(22,1),(45,1),(52,1),(54,1),(75,1),(76,1),(83,1),(94,1),(103,1)}
        12:{4,5,7}:{(6,1),(23,1),(24,1),(84,1),(99,1)}
        13:{3,4,6,7}:{(6,1),(7,1),(16,1),(24,1),(25,1),(26,1),(47,1),(56,1),(84,1),(98,1)}
        14:{1,3,6,7}:{(7,1),(17,1),(25,1),(27,1),(56,1),(72,1),(96,1)}
        15:{2,3,6,7}:{(7,1),(18,1),(26,1),(27,1),(56,1),(76,1),(94,1)}
        16:{3,4,7}:{(8,1),(9,1),(31,1),(32,1),(68,1)}
        17:{1,3,5,7}:{(8,1),(10,1),(14,1),(31,1),(33,1),(38,1),(68,1),(71,1)}
        18:{2,3,5,7}:{(8,1),(11,1),(15,1),(32,1),(33,1),(39,1),(68,1),(71,1)}
        19:{3,4,5}:{(9,1),(34,1),(35,1),(69,1),(102,1)}
        20:{1,4,6}:{(9,1),(10,1),(31,1),(34,1),(90,1),(93,1)}
        21:{2,4,6}:{(9,1),(11,1),(32,1),(35,1),(87,1),(93,1)}
        22:{1,2,5,6}:{(10,1),(11,1),(33,1),(36,1),(59,1),(63,1),(85,1),(88,1)}
        23:{4,5,6}:{(12,1),(37,1),(93,1)}
        24:{3,5,7}:{(12,1),(13,1),(37,1),(38,1),(39,1),(102,1)}
        25:{1,4,6,7}:{(13,1),(14,1),(31,1),(38,1),(65,1),(101,1)}
        26:{2,4,6,7}:{(13,1),(15,1),(32,1),(39,1),(66,1),(100,1)}
        27:{1,2,6,7}:{(14,1),(15,1),(33,1),(85,1),(88,1)}
        28:{1,3,4,6}:{(20,1),(41,1),(42,1),(43,1),(52,1),(72,1),(82,1),(98,1)}
        29:{2,3,4,6}:{(21,1),(44,1),(45,1),(46,1),(52,1),(76,1),(82,1),(98,1)}
        30:{3,4,5,7}:{(16,1),(19,1),(24,1),(47,1),(48,1),(49,1),(81,1),(84,1),(99,1)}
        31:{1,4,7}:{(16,1),(17,1),(20,1),(84,1)}
        32:{2,4,7}:{(16,1),(18,1),(21,1),(84,1)}
        33:{1,2,5,7}:{(17,1),(18,1),(22,1),(27,1),(50,1)}
        34:{1,4,5}:{(19,1),(20,1),(42,1),(99,1),(104,1)}
        35:{2,4,5}:{(19,1),(21,1),(45,1),(99,1),(103,1)}
        36:{1,2,4,6}:{(20,1),(21,1),(22,1),(50,1),(51,1),(52,1)}
        37:{3,5,6}:{(23,1),(24,1),(47,1),(53,1),(54,1)}
        38:{1,5,7}:{(24,1),(25,1),(53,1),(104,1)}
        39:{2,5,7}:{(24,1),(26,1),(54,1),(103,1)}
        40:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(50,1),(55,1),(56,1),(80,1),(84,1)}
        41:{1,3,4,7}:{(28,1),(31,1),(57,1),(58,1),(68,1),(92,1)}
        42:{1,3,5}:{(28,1),(34,1),(59,1),(69,1),(102,1)}
        43:{1,2,4,6}:{(28,1),(58,1),(59,1),(60,1),(85,1),(87,1),(100,1)}
        44:{2,3,4,7}:{(29,1),(32,1),(61,1),(62,1),(68,1),(92,1)}
        45:{2,3,5}:{(29,1),(35,1),(63,1),(69,1),(102,1)}
        46:{1,2,4,6}:{(29,1),(62,1),(63,1),(64,1),(88,1),(90,1),(101,1)}
        47:{3,4,6}:{(30,1),(37,1),(65,1),(66,1),(91,1),(93,1)}
        48:{1,4,5,7}:{(30,1),(31,1),(34,1),(38,1),(57,1),(65,1)}
        49:{2,4,5,7}:{(30,1),(32,1),(35,1),(39,1),(61,1),(66,1)}
        50:{1,2,4,7}:{(31,1),(32,1),(33,1),(36,1),(68,1)}
        51:{1,2,4,5}:{(34,1),(35,1),(36,1),(59,1),(63,1),(69,1),(87,1),(90,1)}
        52:{3,6}:{(36,1),(68,1),(69,1)}
        53:{1,5,6}:{(37,1),(38,1),(65,1)}
        54:{2,5,6}:{(37,1),(39,1),(66,1)}
        55:{1,2,5,7}:{(38,1),(39,1),(40,1),(70,1),(71,1)}
        56:{3,6,7}:{(40,1),(68,1),(71,1),(91,1)}
        57:{1,3,5,7}:{(41,1),(42,1),(48,1),(72,1),(73,1),(81,1)}
        58:{1,2,4,7}:{(41,1),(43,1),(73,1),(74,1),(95,1)}
        59:{1,2,5}:{(42,1),(43,1),(75,1),(103,1)}
        60:{2,3,6}:{(43,1),(52,1),(74,1),(75,1)}
        61:{2,3,5,7}:{(44,1),(45,1),(49,1),(76,1),(77,1),(81,1)}
        62:{1,2,4,7}:{(44,1),(46,1),(77,1),(78,1),(97,1)}
        63:{1,2,5}:{(45,1),(46,1),(79,1),(104,1)}
        64:{1,3,6}:{(46,1),(52,1),(78,1),(79,1)}
        65:{1,4,6}:{(47,1),(48,1),(53,1),(72,1)}
        66:{2,4,6}:{(47,1),(49,1),(54,1),(76,1)}
        67:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(51,1),(55,1),(73,1),(77,1),(80,1),(81,1),(84,1),(95,1),(97,1),(99,1),(103,1),(104,1)}
        68:{3,7}:{(50,1),(52,1)}
        69:{3,5}:{(51,1),(52,1),(82,1)}
        70:{1,2,5,6}:{(53,1),(54,1),(55,1),(80,1),(83,1),(103,1),(104,1)}
        71:{3,5,7}:{(55,1),(56,1),(83,1),(84,1)}
        72:{1,3,6}:{(57,1),(65,1),(85,1),(91,1)}
        73:{1,2,5,7}:{(57,1),(58,1),(59,1),(85,1),(86,1)}
        74:{2,3,7}:{(58,1),(60,1),(68,1)}
        75:{2,3,5}:{(59,1),(60,1),(69,1),(87,1)}
        76:{2,3,6}:{(61,1),(66,1),(88,1),(91,1)}
        77:{1,2,5,7}:{(61,1),(62,1),(63,1),(88,1),(89,1)}
        78:{1,3,7}:{(62,1),(64,1),(68,1)}
        79:{1,3,5}:{(63,1),(64,1),(69,1),(90,1)}
        80:{1,2,4,6}:{(65,1),(66,1),(67,1),(70,1),(85,1),(88,1),(91,1),(93,1),(100,1),(101,1)}
        81:{3,5,7}:{(67,1),(68,1),(69,1),(91,1),(92,1),(102,1)}
        82:{3,4}:{(69,1),(87,1),(90,1)}
        83:{3,5,6}:{(70,1),(71,1),(91,1),(93,1),(102,1)}
        84:{4,7}:{(71,1),(93,1)}
        85:{1,2,6}:{(72,1),(73,1),(94,1)}
        86:{2,3,5,7}:{(73,1),(74,1),(75,1),(81,1),(94,1),(95,1),(103,1)}
        87:{2,4}:{(75,1),(82,1)}
        88:{1,2,6}:{(76,1),(77,1),(96,1)}
        89:{1,3,5,7}:{(77,1),(78,1),(79,1),(81,1),(96,1),(97,1),(104,1)}
        90:{1,4}:{(79,1),(82,1)}
        91:{3,6}:{(80,1),(81,1)}
        92:{3,4,7}:{(81,1),(82,1),(84,1),(95,1),(97,1),(98,1)}
        93:{4,6}:{(83,1),(84,1),(99,1)}
        94:{2,3,6}:{(85,1),(86,1),(91,1),(100,1)}
        95:{2,4,7}:{(86,1),(87,1),(92,1),(100,1)}
        96:{1,3,6}:{(88,1),(89,1),(91,1),(101,1)}
        97:{1,4,7}:{(89,1),(90,1),(92,1),(101,1)}
        98:{3,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(102,1)}
        99:{4,5}:{(93,1),(102,1)}
       100:{2,4,6}:{(94,1),(95,1),(98,1),(103,1)}
       101:{1,4,6}:{(96,1),(97,1),(98,1),(104,1)}
       102:{3,5}:{(98,1),(99,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{1,5}:{(101,1),(102,1)}

1800 :   0:{1,3,4,6,7}:{(2,1),(3,1),(17,1),(26,1),(48,1),(51,1),(57,1),(77,1),(81,1),(98,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(18,1),(27,1),(48,1),(51,1),(58,1),(78,1),(82,1),(98,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(9,1),(10,1),(31,1),(34,1),(42,1),(43,1),(72,1),(90,1),(92,1)}
         3:{1,3,5,7}:{(0,1),(7,1),(10,1),(11,1),(35,1),(39,1),(88,1)}
         4:{2,3,5,7}:{(1,1),(8,1),(10,1),(12,1),(35,1),(40,1),(89,1)}
         5:{1,3,5,6,7}:{(7,1),(13,1),(14,1),(39,1),(41,1),(70,1)}
         6:{2,3,5,6,7}:{(8,1),(13,1),(15,1),(40,1),(41,1),(71,1)}
         7:{1,3,5,6}:{(3,1),(16,1),(17,1),(45,1),(48,1)}
         8:{2,3,5,6}:{(4,1),(16,1),(18,1),(46,1),(48,1)}
         9:{1,2,3,6,7}:{(2,1),(19,1),(48,1),(57,1),(58,1),(79,1),(97,1),(98,1)}
        10:{1,2,5,7}:{(2,1),(3,1),(4,1),(16,1),(55,1),(56,1),(96,1)}
        11:{1,4,5,7}:{(3,1),(17,1),(21,1),(81,1),(93,1)}
        12:{2,4,5,7}:{(4,1),(18,1),(22,1),(82,1),(94,1)}
        13:{1,2,5,6,7}:{(5,1),(6,1),(16,1),(25,1),(55,1),(56,1),(83,1)}
        14:{1,4,6,7}:{(5,1),(17,1),(23,1),(26,1),(81,1)}
        15:{2,4,6,7}:{(6,1),(18,1),(24,1),(27,1),(82,1)}
        16:{1,2,5,6}:{(7,1),(8,1),(10,1),(31,1),(60,1),(61,1)}
        17:{1,4,6}:{(7,1),(11,1),(32,1)}
        18:{2,4,6}:{(8,1),(12,1),(33,1)}
        19:{1,2,3,5,7}:{(9,1),(10,1),(30,1),(34,1),(35,1),(68,1),(70,1),(71,1),(91,1),(101,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(31,1),(34,1),(35,1),(36,1),(37,1),(62,1),(68,1),(92,1),(99,1)}
        21:{3,4,5,7}:{(11,1),(32,1),(35,1),(36,1),(39,1),(69,1),(84,1)}
        22:{3,4,5,7}:{(12,1),(33,1),(35,1),(37,1),(40,1),(69,1),(84,1)}
        23:{1,4,5,7}:{(14,1),(28,1),(39,1)}
        24:{2,4,5,7}:{(15,1),(29,1),(40,1)}
        25:{1,2,4,6,7}:{(13,1),(14,1),(15,1),(31,1),(38,1),(41,1),(42,1),(43,1),(72,1),(92,1)}
        26:{3,4,6,7}:{(14,1),(32,1),(39,1),(41,1),(42,1),(69,1)}
        27:{3,4,6,7}:{(15,1),(33,1),(40,1),(41,1),(43,1),(69,1)}
        28:{1,4,5,6}:{(17,1),(23,1),(45,1)}
        29:{2,4,5,6}:{(18,1),(24,1),(46,1)}
        30:{1,2,3,5,6}:{(16,1),(19,1),(47,1),(48,1),(74,1),(75,1),(76,1),(79,1),(96,1),(97,1)}
        31:{1,2,4,6}:{(16,1),(17,1),(18,1),(20,1),(48,1),(49,1),(50,1),(79,1)}
        32:{3,4,6}:{(17,1),(21,1),(45,1),(48,1),(49,1)}
        33:{3,4,6}:{(18,1),(22,1),(46,1),(48,1),(50,1)}
        34:{1,2,4,7}:{(19,1),(47,1),(51,1),(81,1),(82,1),(103,1)}
        35:{3,5,7}:{(20,1),(48,1),(51,1),(76,1),(98,1),(102,1)}
        36:{2,4,5,7}:{(21,1),(49,1),(53,1),(55,1),(82,1),(94,1)}
        37:{1,4,5,7}:{(22,1),(50,1),(52,1),(56,1),(81,1),(93,1)}
        38:{1,2,4,5,7}:{(23,1),(24,1),(25,1),(44,1),(54,1),(55,1),(56,1),(81,1),(82,1),(83,1)}
        39:{3,5,7}:{(23,1),(26,1),(45,1),(55,1)}
        40:{3,5,7}:{(24,1),(27,1),(46,1),(56,1)}
        41:{3,6,7}:{(25,1),(48,1),(54,1),(98,1)}
        42:{2,4,6,7}:{(26,1),(49,1),(55,1),(58,1),(82,1)}
        43:{1,4,6,7}:{(27,1),(50,1),(56,1),(57,1),(81,1)}
        44:{1,2,4,5,6}:{(28,1),(29,1),(31,1),(38,1),(59,1),(60,1),(61,1),(62,1),(85,1),(86,1),(87,1)}
        45:{3,5,6}:{(28,1),(32,1),(39,1),(60,1)}
        46:{3,5,6}:{(29,1),(33,1),(40,1),(61,1)}
        47:{1,2,4,6}:{(30,1),(34,1),(62,1),(63,1),(85,1),(86,1)}
        48:{3,6}:{(31,1),(35,1)}
        49:{2,4,6}:{(32,1),(36,1),(60,1),(65,1)}
        50:{1,4,6}:{(33,1),(37,1),(61,1),(64,1)}
        51:{3,4,7}:{(34,1),(35,1),(63,1),(104,1)}
        52:{1,3,5,7}:{(35,1),(37,1),(64,1),(66,1),(68,1),(88,1)}
        53:{2,3,5,7}:{(35,1),(36,1),(65,1),(67,1),(68,1),(89,1)}
        54:{3,5,7}:{(38,1),(41,1),(59,1),(69,1)}
        55:{2,5,7}:{(39,1),(42,1),(60,1)}
        56:{1,5,7}:{(40,1),(43,1),(61,1)}
        57:{1,3,6,7}:{(41,1),(43,1),(64,1),(70,1),(72,1)}
        58:{2,3,6,7}:{(41,1),(42,1),(65,1),(71,1),(72,1)}
        59:{3,5,6}:{(44,1),(48,1),(54,1),(73,1),(76,1)}
        60:{2,5,6}:{(45,1),(49,1),(55,1)}
        61:{1,5,6}:{(46,1),(50,1),(56,1)}
        62:{1,2,4,5}:{(47,1),(76,1),(93,1),(94,1),(96,1)}
        63:{3,4,6}:{(47,1),(48,1),(51,1),(76,1)}
        64:{1,3,6}:{(48,1),(50,1),(52,1),(79,1)}
        65:{2,3,6}:{(48,1),(49,1),(53,1),(79,1)}
        66:{1,3,4,7}:{(51,1),(52,1),(77,1),(80,1),(81,1),(98,1)}
        67:{2,3,4,7}:{(51,1),(53,1),(78,1),(80,1),(82,1),(98,1)}
        68:{1,2,5,7}:{(52,1),(53,1),(79,1),(80,1),(96,1)}
        69:{3,4,7}:{(54,1),(73,1),(81,1),(82,1),(98,1)}
        70:{1,3,5,7}:{(54,1),(56,1),(57,1),(74,1),(81,1),(83,1),(98,1)}
        71:{2,3,5,7}:{(54,1),(55,1),(58,1),(75,1),(82,1),(83,1),(98,1)}
        72:{1,2,6,7}:{(57,1),(58,1),(79,1),(83,1)}
        73:{3,4,6}:{(59,1),(69,1),(84,1),(85,1),(86,1),(100,1)}
        74:{1,3,5,6}:{(59,1),(61,1),(64,1),(70,1),(85,1),(87,1),(88,1),(100,1)}
        75:{2,3,5,6}:{(59,1),(60,1),(65,1),(71,1),(86,1),(87,1),(89,1),(100,1)}
        76:{3,5}:{(62,1),(63,1)}
        77:{1,3,4,6}:{(63,1),(64,1),(66,1),(85,1),(88,1),(90,1),(100,1),(104,1)}
        78:{2,3,4,6}:{(63,1),(65,1),(67,1),(86,1),(89,1),(90,1),(100,1),(104,1)}
        79:{1,2,6}:{(64,1),(65,1),(68,1)}
        80:{1,2,4,7}:{(66,1),(67,1),(68,1),(90,1),(91,1)}
        81:{1,4,7}:{(69,1),(70,1),(85,1)}
        82:{2,4,7}:{(69,1),(71,1),(86,1)}
        83:{1,2,5,7}:{(70,1),(71,1),(72,1),(87,1),(92,1)}
        84:{3,4,5}:{(73,1),(76,1),(93,1),(94,1),(102,1)}
        85:{1,4,6}:{(73,1),(74,1),(81,1),(93,1)}
        86:{2,4,6}:{(73,1),(75,1),(82,1),(94,1)}
        87:{1,2,5,6}:{(74,1),(75,1),(79,1),(83,1),(95,1),(96,1)}
        88:{1,3,5}:{(76,1),(77,1),(93,1),(96,1),(102,1)}
        89:{2,3,5}:{(76,1),(78,1),(94,1),(96,1),(102,1)}
        90:{1,2,4,6}:{(77,1),(78,1),(79,1),(80,1),(96,1),(97,1),(103,1)}
        91:{1,2,3,7}:{(80,1),(97,1),(98,1)}
        92:{1,2,4,7}:{(81,1),(82,1),(83,1),(95,1),(98,1)}
        93:{1,4,5}:{(84,1),(85,1),(88,1)}
        94:{2,4,5}:{(84,1),(86,1),(89,1)}
        95:{1,2,4,6}:{(85,1),(86,1),(87,1),(92,1),(99,1),(100,1)}
        96:{1,2,5}:{(88,1),(89,1),(90,1)}
        97:{1,2,3,6}:{(90,1),(91,1),(100,1),(101,1)}
        98:{3,7}:{(92,1),(100,1)}
        99:{1,2,4,5}:{(93,1),(94,1),(95,1),(96,1),(102,1),(103,1)}
       100:{3,6}:{(95,1),(98,1),(102,1)}
       101:{1,2,3,5}:{(96,1),(97,1),(102,1),(103,1)}
       102:{3,5}:{(99,1),(100,1),(104,1)}
       103:{1,2,4}:{(101,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1801 :   0:{1,3,4,5,6}:{(1,1),(2,1),(20,1),(65,1),(72,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(53,1),(60,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(58,1),(61,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(48,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(45,1),(49,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(30,1),(54,1),(58,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(36,1),(76,1)}
         8:{1,3,5,6,7}:{(3,1),(14,1),(16,1),(36,1),(53,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(37,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{2,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(42,1),(45,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(8,1),(64,1)}
        15:{2,4,5,6,7}:{(7,1),(24,1),(86,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(45,1)}
        17:{2,3,6,7}:{(9,1),(10,1)}
        18:{2,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{2,3,4,5}:{(11,1),(23,1)}
        20:{1,3,4,6}:{(13,1),(29,1),(30,1),(54,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(33,1),(54,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(29,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(30,1)}
        24:{2,3,5,6,7}:{(15,1),(31,1),(35,1),(36,1),(79,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(35,1),(36,1),(37,1),(57,1),(59,1)}
        26:{2,3,5,6,7}:{(16,1),(17,1),(36,1),(37,1),(38,1)}
        27:{2,3,4,6,7}:{(17,1),(18,1),(33,1),(37,1),(38,1),(39,1),(56,1)}
        28:{2,3,4,5,7}:{(18,1),(19,1),(34,1),(38,1),(39,1),(76,1)}
        29:{1,3,4,7}:{(20,1),(22,1),(42,1)}
        30:{1,3,5}:{(20,1),(23,1)}
        31:{2,3,4,6,7}:{(24,1),(40,1),(43,1),(48,1)}
        32:{1,2,3,5,6,7}:{(21,1),(26,1),(44,1),(45,1),(47,1),(65,1),(66,1),(69,1),(89,1),(90,1)}
        33:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(41,1),(45,1),(46,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(42,1),(45,1),(46,1),(64,1)}
        35:{1,2,5,6,7}:{(24,1),(43,1),(47,1),(89,1)}
        36:{3,5,6,7}:{(25,1),(48,1),(69,1)}
        37:{2,4,6,7}:{(26,1),(48,1),(49,1)}
        38:{2,3,5,7}:{(27,1),(45,1),(49,1),(50,1),(69,1)}
        39:{2,3,4,6}:{(28,1),(46,1),(50,1),(88,1)}
        40:{2,3,4,5,7}:{(31,1),(51,1),(52,1),(60,1),(79,1),(94,1)}
        41:{1,3,4,6,7}:{(29,1),(33,1),(53,1),(54,1),(56,1),(77,1)}
        42:{1,3,5,7}:{(29,1),(30,1),(34,1),(54,1)}
        43:{1,2,4,6,7}:{(31,1),(35,1),(52,1),(55,1),(59,1)}
        44:{1,2,4,6,7}:{(32,1),(37,1),(56,1),(57,1),(59,1),(77,1),(96,1)}
        45:{1,2,5,7}:{(33,1),(38,1),(53,1),(58,1)}
        46:{1,2,4,6}:{(34,1),(39,1),(54,1),(58,1),(77,1)}
        47:{1,3,5,6,7}:{(35,1),(36,1),(55,1),(59,1),(80,1)}
        48:{3,4,6,7}:{(36,1),(37,1),(59,1),(60,1)}
        49:{2,4,5,7}:{(37,1),(38,1),(60,1),(61,1)}
        50:{2,3,5,6}:{(38,1),(39,1),(58,1),(61,1),(81,1)}
        51:{2,3,4,5,6}:{(40,1),(62,1),(72,1),(90,1),(99,1)}
        52:{1,2,4,5,7}:{(40,1),(43,1),(62,1),(63,1),(71,1),(85,1),(89,1)}
        53:{1,3,5,7}:{(41,1),(45,1),(64,1),(65,1),(69,1)}
        54:{1,3,6}:{(42,1),(46,1)}
        55:{1,3,6,7}:{(43,1),(63,1)}
        56:{3,4,6,7}:{(44,1),(69,1),(88,1)}
        57:{1,2,4,5,7}:{(44,1),(45,1),(49,1),(64,1),(69,1),(70,1),(71,1),(86,1),(89,1)}
        58:{1,2,5,6}:{(45,1),(46,1),(50,1),(65,1)}
        59:{1,4,6,7}:{(47,1),(48,1),(71,1)}
        60:{3,4,5,7}:{(48,1),(49,1),(69,1),(71,1),(72,1)}
        61:{2,4,5,6}:{(49,1),(50,1),(72,1)}
        62:{1,2,4,5,6}:{(51,1),(52,1),(73,1),(82,1),(92,1),(98,1)}
        63:{1,3,5,7}:{(52,1),(55,1),(73,1),(75,1)}
        64:{1,4,5,7}:{(53,1),(76,1),(77,1)}
        65:{1,3,5,6}:{(53,1),(54,1),(58,1),(77,1),(81,1)}
        66:{1,2,3,6,7}:{(55,1),(74,1),(78,1),(104,1)}
        67:{2,3,4,6,7}:{(56,1),(78,1),(79,1),(94,1),(96,1),(104,1)}
        68:{1,3,4,6,7}:{(55,1),(56,1),(59,1),(75,1),(78,1),(80,1),(97,1)}
        69:{3,5,7}:{(56,1),(57,1),(81,1)}
        70:{1,2,4,5,6}:{(57,1),(58,1),(61,1),(77,1),(81,1),(82,1),(96,1),(98,1)}
        71:{1,4,5,7}:{(59,1),(60,1),(80,1),(82,1)}
        72:{3,4,5,6}:{(60,1),(61,1),(81,1),(82,1)}
        73:{1,3,5,6}:{(62,1),(63,1),(84,1)}
        74:{1,2,3,5,7}:{(63,1),(66,1),(83,1),(85,1),(89,1),(101,1)}
        75:{1,3,4,7}:{(63,1),(84,1),(85,1)}
        76:{3,4,5,7}:{(64,1),(69,1),(86,1),(88,1)}
        77:{1,4,6}:{(64,1),(65,1),(88,1)}
        78:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(85,1),(89,1),(102,1)}
        79:{2,3,5,7}:{(67,1),(69,1),(86,1),(89,1),(90,1)}
        80:{1,3,5,7}:{(68,1),(69,1),(71,1),(89,1),(91,1)}
        81:{3,5,6}:{(69,1),(70,1),(88,1)}
        82:{1,4,5,6}:{(71,1),(72,1),(91,1)}
        83:{1,2,3,5,6}:{(73,1),(74,1),(92,1),(98,1),(103,1),(104,1)}
        84:{1,3,4,6}:{(73,1),(75,1),(92,1),(93,1)}
        85:{1,2,4,7}:{(74,1),(75,1),(92,1),(94,1)}
        86:{2,4,5,7}:{(76,1),(79,1),(96,1)}
        87:{1,3,4,5,7}:{(75,1),(76,1),(80,1),(93,1),(95,1),(97,1)}
        88:{3,4,6}:{(76,1),(77,1),(81,1),(96,1)}
        89:{1,2,5,7}:{(78,1),(79,1),(80,1),(98,1)}
        90:{2,3,5,6}:{(79,1),(81,1),(96,1),(98,1),(104,1)}
        91:{1,3,5,6}:{(80,1),(81,1),(82,1),(97,1),(98,1)}
        92:{1,2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        93:{1,3,4,5}:{(84,1),(100,1)}
        94:{2,3,4,7}:{(85,1),(99,1),(101,1)}
        95:{1,2,4,5,7}:{(85,1),(86,1),(87,1),(89,1),(100,1),(101,1),(102,1)}
        96:{2,4,6}:{(86,1),(88,1),(90,1)}
        97:{1,3,4,6}:{(87,1),(88,1),(91,1),(102,1)}
        98:{1,2,5,6}:{(89,1),(90,1),(91,1),(102,1)}
        99:{2,3,4,6}:{(92,1),(94,1),(103,1),(104,1)}
       100:{1,2,4,5}:{(92,1),(93,1),(103,1)}
       101:{2,3,5,7}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       103:{2,3,5}:{(99,1),(100,1)}
       104:{2,3,6}:{(101,1),(102,1)}

1802 :  0:{2,3,4,5,7}:{(3,1),(4,1),(17,1),(34,1),(58,1)}
        1:{1,3,4,5,7}:{(3,1),(5,1),(19,1),(34,1),(58,1)}
        2:{1,2,3,4,7}:{(6,1),(7,1),(44,1),(83,1)}
        3:{1,2,4,5,7}:{(0,1),(1,1),(6,1),(8,1),(23,1),(24,1),(44,1)}
        4:{2,3,4,6}:{(0,1),(8,1),(10,1),(45,1)}
        5:{1,3,4,6}:{(1,1),(8,1),(12,1),(45,1)}
        6:{1,2,3,5,7}:{(2,1),(3,1),(13,1),(14,1)}
        7:{1,2,3,4,6}:{(2,1),(13,1),(14,1),(33,1),(80,1),(81,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(5,1),(13,1),(16,1)}
        9:{2,3,4,6,7}:{(4,1),(15,1),(17,1),(38,1),(58,1),(62,1)}
       10:{2,3,5,6}:{(4,1),(16,1),(17,1),(18,1),(37,1)}
       11:{1,3,4,6,7}:{(5,1),(15,1),(19,1),(41,1),(58,1),(62,1)}
       12:{1,3,5,6}:{(5,1),(16,1),(19,1),(20,1),(37,1)}
       13:{1,2,3,6}:{(6,1),(8,1)}
       14:{1,2,3,5}:{(7,1),(23,1)}
       15:{1,2,4,6,7}:{(8,1),(9,1),(11,1),(21,1),(24,1),(44,1)}
       16:{1,2,5,6}:{(8,1),(10,1),(12,1),(24,1)}
       17:{2,3,5,7}:{(9,1),(10,1),(24,1),(27,1),(49,1)}
       18:{2,4,5,6}:{(10,1),(27,1),(28,1)}
       19:{1,3,5,7}:{(11,1),(12,1),(24,1),(30,1),(49,1)}
       20:{1,4,5,6}:{(12,1),(30,1),(31,1)}
       21:{1,2,3,6,7}:{(13,1),(15,1),(32,1),(62,1),(82,1)}
       22:{1,2,3,5,6}:{(13,1),(14,1),(16,1),(32,1),(33,1),(37,1),(65,1),(80,1)}
       23:{1,2,4,5}:{(14,1),(33,1),(34,1)}
       24:{1,2,5,7}:{(15,1),(16,1),(17,1),(19,1)}
       25:{1,2,4,5,6}:{(16,1),(18,1),(20,1),(33,1),(36,1),(37,1),(40,1),(43,1),(65,1)}
       26:{2,3,5,6,7}:{(17,1),(35,1),(38,1),(62,1),(66,1)}
       27:{2,4,5,7}:{(17,1),(18,1),(38,1),(39,1)}
       28:{3,4,5,6}:{(18,1),(37,1),(39,1),(40,1)}
       29:{1,3,5,6,7}:{(19,1),(35,1),(41,1),(62,1),(68,1)}
       30:{1,4,5,7}:{(19,1),(20,1),(41,1),(42,1)}
       31:{3,4,5,6}:{(20,1),(37,1),(42,1),(43,1)}
       32:{1,2,3,5,7}:{(21,1),(22,1),(24,1),(44,1),(49,1),(76,1),(83,1)}
       33:{1,2,4,6}:{(22,1),(23,1),(44,1),(45,1)}
       34:{3,4,5}:{(23,1),(45,1)}
       35:{1,2,5,6,7}:{(24,1),(26,1),(29,1),(48,1),(77,1),(78,1)}
       36:{1,2,4,5,7}:{(24,1),(25,1),(27,1),(30,1),(44,1),(48,1),(49,1),(54,1),(57,1),(76,1)}
       37:{3,5,6}:{(25,1),(45,1),(49,1)}
       38:{2,4,6,7}:{(26,1),(27,1),(53,1)}
       39:{3,4,5,7}:{(27,1),(28,1),(49,1),(53,1),(54,1)}
       40:{1,4,5,6}:{(28,1),(50,1),(54,1)}
       41:{1,4,6,7}:{(29,1),(30,1),(56,1)}
       42:{3,4,5,7}:{(30,1),(31,1),(49,1),(56,1),(57,1)}
       43:{2,4,5,6}:{(31,1),(51,1),(57,1)}
       44:{1,2,4,7}:{(32,1),(33,1),(58,1)}
       45:{3,4,6}:{(33,1),(34,1),(37,1),(58,1)}
       46:{1,3,4,5}:{(34,1),(59,1),(61,1)}
       47:{2,3,4,5}:{(34,1),(60,1),(61,1)}
       48:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(41,1),(62,1),(67,1),(69,1),(82,1)}
       49:{3,5,7}:{(36,1),(37,1),(58,1),(62,1)}
       50:{1,3,5,6}:{(37,1),(40,1),(59,1),(63,1),(65,1)}
       51:{2,3,5,6}:{(37,1),(43,1),(60,1),(64,1),(65,1)}
       52:{2,4,5,6,7}:{(38,1),(66,1)}
       53:{3,4,6,7}:{(38,1),(39,1),(62,1),(66,1),(67,1)}
       54:{1,4,5,7}:{(39,1),(40,1),(63,1),(67,1)}
       55:{1,4,5,6,7}:{(41,1),(68,1)}
       56:{3,4,6,7}:{(41,1),(42,1),(62,1),(68,1),(69,1)}
       57:{2,4,5,7}:{(42,1),(43,1),(64,1),(69,1)}
       58:{3,4,7}:{(44,1),(45,1),(49,1)}
       59:{1,3,4,6}:{(45,1),(46,1),(50,1),(70,1),(72,1)}
       60:{2,3,4,6}:{(45,1),(47,1),(51,1),(71,1),(72,1)}
       61:{1,2,4,5}:{(46,1),(47,1),(72,1),(73,1)}
       62:{3,6,7}:{(48,1),(49,1)}
       63:{1,3,5,7}:{(49,1),(50,1),(54,1),(70,1),(74,1),(76,1)}
       64:{2,3,5,7}:{(49,1),(51,1),(57,1),(71,1),(75,1),(76,1)}
       65:{1,2,5,6}:{(50,1),(51,1),(72,1),(76,1)}
       66:{3,5,6,7}:{(52,1),(53,1),(77,1)}
       67:{1,4,6,7}:{(53,1),(54,1),(74,1),(77,1)}
       68:{3,5,6,7}:{(55,1),(56,1),(78,1)}
       69:{2,4,6,7}:{(56,1),(57,1),(75,1),(78,1)}
       70:{1,3,4,7}:{(58,1),(59,1),(63,1),(79,1)}
       71:{2,3,4,7}:{(58,1),(60,1),(64,1),(79,1)}
       72:{1,2,4,6}:{(59,1),(60,1),(61,1),(65,1),(79,1),(80,1)}
       73:{1,2,3,5}:{(61,1),(80,1),(81,1)}
       74:{1,3,6,7}:{(62,1),(63,1),(67,1),(82,1)}
       75:{2,3,6,7}:{(62,1),(64,1),(69,1),(82,1)}
       76:{1,2,5,7}:{(63,1),(64,1),(65,1),(79,1),(82,1)}
       77:{1,5,6,7}:{(66,1),(67,1)}
       78:{2,5,6,7}:{(68,1),(69,1)}
       79:{1,2,4,7}:{(70,1),(71,1),(72,1),(76,1),(83,1)}
       80:{1,2,3,6}:{(72,1),(73,1),(83,1)}
       81:{1,2,3,4}:{(73,1)}
       82:{1,2,6,7}:{(74,1),(75,1),(76,1)}
       83:{1,2,3,7}:{(79,1),(80,1)}

1803 :   0:{2,3,4,5}:{(3,1),(4,1),(34,1)}
         1:{1,3,4,5}:{(3,1),(5,1),(34,1)}
         2:{1,2,3,4}:{(7,1)}
         3:{1,2,4,5}:{(0,1),(1,1),(7,1),(8,1)}
         4:{2,3,4,6}:{(0,1),(8,1),(9,1),(10,1),(51,1)}
         5:{1,3,4,6}:{(1,1),(8,1),(11,1),(12,1),(51,1)}
         6:{1,2,3,4,6}:{(2,1),(13,1),(14,1),(15,1),(36,1),(37,1),(65,1),(97,1)}
         7:{1,2,3,5}:{(2,1),(3,1),(15,1)}
         8:{1,2,4,6}:{(3,1),(4,1),(5,1),(15,1),(16,1),(17,1)}
         9:{2,3,5,6}:{(4,1),(16,1),(18,1),(19,1),(39,1)}
        10:{2,3,4,7}:{(4,1),(17,1),(19,1),(70,1)}
        11:{1,3,5,6}:{(5,1),(16,1),(20,1),(21,1),(39,1)}
        12:{1,3,4,7}:{(5,1),(17,1),(21,1),(70,1)}
        13:{1,2,3,4,7}:{(6,1),(23,1),(25,1),(53,1),(103,1)}
        14:{1,2,3,5}:{(6,1),(22,1)}
        15:{1,2,3,6}:{(7,1),(8,1),(25,1)}
        16:{1,2,5,6}:{(8,1),(9,1),(11,1),(27,1)}
        17:{1,2,4,7}:{(8,1),(10,1),(12,1),(25,1),(27,1)}
        18:{2,4,5,6}:{(9,1),(28,1),(29,1)}
        19:{2,3,5,7}:{(9,1),(10,1),(27,1),(29,1),(30,1),(57,1)}
        20:{1,4,5,6}:{(11,1),(31,1),(32,1)}
        21:{1,3,5,7}:{(11,1),(12,1),(27,1),(32,1),(33,1),(57,1)}
        22:{1,2,4,5}:{(14,1),(34,1),(36,1)}
        23:{1,2,3,5,7}:{(13,1),(14,1),(35,1),(37,1)}
        24:{1,2,3,5,6}:{(14,1),(15,1),(16,1),(36,1),(37,1),(38,1),(39,1),(71,1),(73,1),(97,1)}
        25:{1,2,3,7}:{(15,1),(17,1)}
        26:{1,2,4,5,6}:{(16,1),(18,1),(20,1),(36,1),(39,1),(40,1),(42,1),(45,1),(71,1),(73,1),(99,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(19,1),(21,1),(41,1)}
        28:{3,4,5,6}:{(18,1),(39,1),(42,1),(43,1),(99,1)}
        29:{2,4,5,7}:{(18,1),(19,1),(43,1),(44,1)}
        30:{2,3,6,7}:{(19,1),(41,1),(44,1),(76,1)}
        31:{3,4,5,6}:{(20,1),(39,1),(45,1),(46,1),(99,1)}
        32:{1,4,5,7}:{(20,1),(21,1),(46,1),(47,1)}
        33:{1,3,6,7}:{(21,1),(41,1),(47,1),(76,1)}
        34:{3,4,5}:{(22,1),(51,1)}
        35:{1,2,4,5,7}:{(22,1),(23,1),(50,1),(52,1),(53,1),(88,1)}
        36:{1,2,4,6}:{(22,1),(24,1),(51,1),(53,1)}
        37:{1,2,3,6}:{(23,1),(52,1)}
        38:{1,2,3,5,7}:{(24,1),(25,1),(27,1),(53,1),(54,1),(57,1),(88,1),(89,1),(103,1)}
        39:{3,5,6}:{(26,1),(51,1),(57,1)}
        40:{1,2,4,5,7}:{(26,1),(27,1),(29,1),(32,1),(53,1),(57,1),(58,1),(59,1),(62,1),(88,1),(89,1),(104,1)}
        41:{1,2,6,7}:{(27,1),(30,1),(33,1)}
        42:{1,4,5,6}:{(28,1),(56,1),(59,1)}
        43:{3,4,5,7}:{(28,1),(29,1),(57,1),(59,1),(60,1),(104,1)}
        44:{2,4,6,7}:{(29,1),(30,1),(60,1),(61,1)}
        45:{2,4,5,6}:{(31,1),(55,1),(62,1)}
        46:{3,4,5,7}:{(31,1),(32,1),(57,1),(62,1),(63,1),(104,1)}
        47:{1,4,6,7}:{(32,1),(33,1),(63,1),(64,1)}
        48:{2,3,4,5}:{(34,1),(66,1),(67,1)}
        49:{1,3,4,5}:{(34,1),(66,1),(68,1)}
        50:{3,4,5,7}:{(34,1),(35,1),(69,1),(70,1),(100,1)}
        51:{3,4,6}:{(34,1),(36,1),(39,1),(70,1)}
        52:{1,2,4,6}:{(35,1),(37,1),(69,1),(71,1)}
        53:{1,2,4,7}:{(36,1),(38,1),(70,1)}
        54:{1,2,3,6,7}:{(37,1),(38,1),(41,1),(72,1),(76,1),(101,1)}
        55:{2,3,5,6}:{(39,1),(45,1),(67,1),(73,1),(74,1)}
        56:{1,3,5,6}:{(39,1),(42,1),(68,1),(73,1),(75,1)}
        57:{3,5,7}:{(39,1),(40,1),(70,1),(76,1)}
        58:{1,2,4,6,7}:{(40,1),(41,1),(44,1),(47,1),(76,1),(77,1),(78,1),(80,1),(101,1),(102,1)}
        59:{1,4,5,7}:{(42,1),(43,1),(75,1),(78,1)}
        60:{3,4,6,7}:{(43,1),(44,1),(76,1),(78,1),(79,1),(102,1)}
        61:{2,5,6,7}:{(44,1),(79,1)}
        62:{2,4,5,7}:{(45,1),(46,1),(74,1),(80,1)}
        63:{3,4,6,7}:{(46,1),(47,1),(76,1),(80,1),(81,1),(102,1)}
        64:{1,5,6,7}:{(47,1),(81,1)}
        65:{1,2,3,4}:{(82,1)}
        66:{1,2,4,5}:{(48,1),(49,1),(82,1),(83,1)}
        67:{2,3,4,6}:{(48,1),(51,1),(55,1),(83,1),(84,1)}
        68:{1,3,4,6}:{(49,1),(51,1),(56,1),(83,1),(85,1)}
        69:{3,4,6}:{(50,1),(52,1),(86,1)}
        70:{3,4,7}:{(51,1),(53,1),(57,1)}
        71:{1,2,5,6}:{(52,1),(86,1),(88,1)}
        72:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(87,1),(88,1)}
        73:{1,2,5,6}:{(55,1),(56,1),(83,1),(89,1)}
        74:{2,3,5,7}:{(55,1),(57,1),(62,1),(84,1),(89,1),(90,1)}
        75:{1,3,5,7}:{(56,1),(57,1),(59,1),(85,1),(89,1),(91,1)}
        76:{3,6,7}:{(57,1),(58,1)}
        77:{1,2,5,6,7}:{(58,1),(61,1),(64,1),(88,1),(92,1),(93,1),(95,1)}
        78:{1,4,6,7}:{(59,1),(60,1),(91,1),(93,1)}
        79:{3,5,6,7}:{(60,1),(61,1),(93,1),(94,1)}
        80:{2,4,6,7}:{(62,1),(63,1),(90,1),(95,1)}
        81:{3,5,6,7}:{(63,1),(64,1),(95,1),(96,1)}
        82:{1,2,3,5}:{(65,1),(66,1),(97,1)}
        83:{1,2,4,6}:{(66,1),(67,1),(68,1),(73,1),(97,1),(98,1)}
        84:{2,3,4,7}:{(67,1),(70,1),(74,1),(98,1)}
        85:{1,3,4,7}:{(68,1),(70,1),(75,1),(98,1)}
        86:{3,5,6}:{(69,1),(71,1),(99,1),(100,1)}
        87:{3,4,6,7}:{(69,1),(70,1),(72,1),(76,1),(100,1),(102,1)}
        88:{1,2,5,7}:{(71,1),(72,1),(100,1)}
        89:{1,2,5,7}:{(73,1),(74,1),(75,1),(98,1),(101,1)}
        90:{2,3,6,7}:{(74,1),(76,1),(80,1),(101,1)}
        91:{1,3,6,7}:{(75,1),(76,1),(78,1),(101,1)}
        92:{3,5,6,7}:{(76,1),(77,1),(100,1),(102,1)}
        93:{1,5,6,7}:{(78,1),(79,1)}
        94:{4,5,6,7}:{(79,1),(102,1)}
        95:{2,5,6,7}:{(80,1),(81,1)}
        96:{4,5,6,7}:{(81,1),(102,1)}
        97:{1,2,3,6}:{(82,1),(83,1),(103,1)}
        98:{1,2,4,7}:{(83,1),(84,1),(85,1),(89,1),(103,1)}
        99:{4,5,6}:{(86,1),(104,1)}
       100:{3,5,7}:{(86,1),(87,1),(88,1),(104,1)}
       101:{1,2,6,7}:{(89,1),(90,1),(91,1)}
       102:{4,6,7}:{(92,1),(104,1)}
       103:{1,2,3,7}:{(97,1),(98,1)}
       104:{4,5,7}:{(99,1),(100,1),(102,1)}

1804 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(65,1),(72,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(53,1),(60,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(58,1),(61,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(48,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(45,1),(49,1)}
         5:{1,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(30,1),(54,1),(58,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(36,1),(76,1)}
         8:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(36,1),(53,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(37,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{1,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(42,1),(45,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(24,1),(87,1)}
        15:{2,4,5,6,7}:{(7,1),(8,1),(64,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(45,1)}
        17:{1,3,6,7}:{(9,1),(10,1)}
        18:{1,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{1,3,4,5}:{(11,1),(23,1)}
        20:{2,3,4,6}:{(13,1),(29,1),(30,1),(54,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(33,1),(54,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(29,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(30,1)}
        24:{1,3,5,6,7}:{(14,1),(31,1),(35,1),(36,1),(80,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(35,1),(36,1),(37,1),(57,1),(59,1)}
        26:{1,3,5,6,7}:{(16,1),(17,1),(36,1),(37,1),(38,1)}
        27:{1,3,4,6,7}:{(17,1),(18,1),(33,1),(37,1),(38,1),(39,1),(56,1)}
        28:{1,3,4,5,7}:{(18,1),(19,1),(34,1),(38,1),(39,1),(76,1)}
        29:{2,3,4,7}:{(20,1),(22,1),(42,1)}
        30:{2,3,5}:{(20,1),(23,1)}
        31:{1,3,4,6,7}:{(24,1),(40,1),(43,1),(48,1)}
        32:{1,2,3,5,6,7}:{(21,1),(26,1),(44,1),(45,1),(47,1),(65,1),(66,1),(69,1),(89,1),(91,1)}
        33:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(41,1),(45,1),(46,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(42,1),(45,1),(46,1),(64,1)}
        35:{1,2,5,6,7}:{(24,1),(43,1),(47,1),(89,1)}
        36:{3,5,6,7}:{(25,1),(48,1),(69,1)}
        37:{1,4,6,7}:{(26,1),(48,1),(49,1)}
        38:{1,3,5,7}:{(27,1),(45,1),(49,1),(50,1),(69,1)}
        39:{1,3,4,6}:{(28,1),(46,1),(50,1),(88,1)}
        40:{1,3,4,5,7}:{(31,1),(51,1),(52,1),(60,1),(80,1),(94,1)}
        41:{2,3,4,6,7}:{(29,1),(33,1),(53,1),(54,1),(56,1),(77,1)}
        42:{2,3,5,7}:{(29,1),(30,1),(34,1),(54,1)}
        43:{1,2,4,6,7}:{(31,1),(35,1),(52,1),(55,1),(59,1)}
        44:{1,2,4,6,7}:{(32,1),(37,1),(56,1),(57,1),(59,1),(77,1),(97,1)}
        45:{1,2,5,7}:{(33,1),(38,1),(53,1),(58,1)}
        46:{1,2,4,6}:{(34,1),(39,1),(54,1),(58,1),(77,1)}
        47:{2,3,5,6,7}:{(35,1),(36,1),(55,1),(59,1),(79,1)}
        48:{3,4,6,7}:{(36,1),(37,1),(59,1),(60,1)}
        49:{1,4,5,7}:{(37,1),(38,1),(60,1),(61,1)}
        50:{1,3,5,6}:{(38,1),(39,1),(58,1),(61,1),(81,1)}
        51:{1,3,4,5,6}:{(40,1),(62,1),(72,1),(91,1),(99,1)}
        52:{1,2,4,5,7}:{(40,1),(43,1),(62,1),(63,1),(71,1),(85,1),(89,1)}
        53:{2,3,5,7}:{(41,1),(45,1),(64,1),(65,1),(69,1)}
        54:{2,3,6}:{(42,1),(46,1)}
        55:{2,3,6,7}:{(43,1),(63,1)}
        56:{3,4,6,7}:{(44,1),(69,1),(88,1)}
        57:{1,2,4,5,7}:{(44,1),(45,1),(49,1),(64,1),(69,1),(70,1),(71,1),(87,1),(89,1)}
        58:{1,2,5,6}:{(45,1),(46,1),(50,1),(65,1)}
        59:{2,4,6,7}:{(47,1),(48,1),(71,1)}
        60:{3,4,5,7}:{(48,1),(49,1),(69,1),(71,1),(72,1)}
        61:{1,4,5,6}:{(49,1),(50,1),(72,1)}
        62:{1,2,4,5,6}:{(51,1),(52,1),(73,1),(82,1),(92,1),(98,1)}
        63:{2,3,5,7}:{(52,1),(55,1),(73,1),(75,1)}
        64:{2,4,5,7}:{(53,1),(76,1),(77,1)}
        65:{2,3,5,6}:{(53,1),(54,1),(58,1),(77,1),(81,1)}
        66:{1,2,3,6,7}:{(55,1),(74,1),(78,1),(104,1)}
        67:{2,3,4,6,7}:{(55,1),(56,1),(59,1),(75,1),(78,1),(79,1),(96,1)}
        68:{1,3,4,6,7}:{(56,1),(78,1),(80,1),(94,1),(97,1),(104,1)}
        69:{3,5,7}:{(56,1),(57,1),(81,1)}
        70:{1,2,4,5,6}:{(57,1),(58,1),(61,1),(77,1),(81,1),(82,1),(97,1),(98,1)}
        71:{2,4,5,7}:{(59,1),(60,1),(79,1),(82,1)}
        72:{3,4,5,6}:{(60,1),(61,1),(81,1),(82,1)}
        73:{2,3,5,6}:{(62,1),(63,1),(84,1)}
        74:{1,2,3,5,7}:{(63,1),(66,1),(83,1),(85,1),(89,1),(101,1)}
        75:{2,3,4,7}:{(63,1),(84,1),(85,1)}
        76:{3,4,5,7}:{(64,1),(69,1),(87,1),(88,1)}
        77:{2,4,6}:{(64,1),(65,1),(88,1)}
        78:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(85,1),(89,1),(102,1)}
        79:{2,3,5,7}:{(67,1),(69,1),(71,1),(89,1),(90,1)}
        80:{1,3,5,7}:{(68,1),(69,1),(87,1),(89,1),(91,1)}
        81:{3,5,6}:{(69,1),(70,1),(88,1)}
        82:{2,4,5,6}:{(71,1),(72,1),(90,1)}
        83:{1,2,3,5,6}:{(73,1),(74,1),(92,1),(98,1),(103,1),(104,1)}
        84:{2,3,4,6}:{(73,1),(75,1),(92,1),(93,1)}
        85:{1,2,4,7}:{(74,1),(75,1),(92,1),(94,1)}
        86:{2,3,4,5,7}:{(75,1),(76,1),(79,1),(93,1),(95,1),(96,1)}
        87:{1,4,5,7}:{(76,1),(80,1),(97,1)}
        88:{3,4,6}:{(76,1),(77,1),(81,1),(97,1)}
        89:{1,2,5,7}:{(78,1),(79,1),(80,1),(98,1)}
        90:{2,3,5,6}:{(79,1),(81,1),(82,1),(96,1),(98,1)}
        91:{1,3,5,6}:{(80,1),(81,1),(97,1),(98,1),(104,1)}
        92:{1,2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        93:{2,3,4,5}:{(84,1),(100,1)}
        94:{1,3,4,7}:{(85,1),(99,1),(101,1)}
        95:{1,2,4,5,7}:{(85,1),(86,1),(87,1),(89,1),(100,1),(101,1),(102,1)}
        96:{2,3,4,6}:{(86,1),(88,1),(90,1),(102,1)}
        97:{1,4,6}:{(87,1),(88,1),(91,1)}
        98:{1,2,5,6}:{(89,1),(90,1),(91,1),(102,1)}
        99:{1,3,4,6}:{(92,1),(94,1),(103,1),(104,1)}
       100:{1,2,4,5}:{(92,1),(93,1),(103,1)}
       101:{1,3,5,7}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       103:{1,3,5}:{(99,1),(100,1)}
       104:{1,3,6}:{(101,1),(102,1)}

1805 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(23,1),(27,1),(28,1),(29,1),(30,1),(57,1),(94,1),(96,1),(123,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(41,1),(42,1),(112,1),(114,1),(133,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(21,1),(22,1),(23,1),(46,1),(56,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(25,1),(26,1),(29,1),(138,1)}
         4:{3,4,6,7}:{(1,1),(7,1),(24,1),(57,1),(98,1),(137,1)}
         5:{3,5,6,7}:{(2,1),(11,1),(15,1),(67,1),(78,1)}
         6:{1,2,4,5,6}:{(3,1),(15,1),(41,1),(42,1),(44,1)}
         7:{3,5,7}:{(3,1),(4,1),(15,1),(139,1)}
         8:{1,3,4,6,7}:{(4,1),(16,1),(18,1),(41,1),(73,1),(83,1),(84,1),(112,1),(118,1)}
         9:{2,3,4,6,7}:{(4,1),(17,1),(18,1),(42,1),(76,1),(83,1),(84,1),(114,1),(119,1)}
        10:{1,2,3,5,6,7}:{(19,1),(23,1),(47,1),(57,1),(64,1),(89,1),(90,1),(91,1),(92,1),(94,1),(96,1)}
        11:{3,4,6,7}:{(5,1),(20,1),(21,1),(22,1),(24,1),(57,1),(86,1),(98,1)}
        12:{1,3,5,6,7}:{(5,1),(21,1),(23,1),(27,1),(52,1),(57,1),(89,1),(94,1)}
        13:{2,3,5,6,7}:{(5,1),(22,1),(23,1),(28,1),(50,1),(57,1),(90,1),(96,1)}
        14:{3,4,5,7}:{(7,1),(24,1),(25,1),(26,1),(63,1),(98,1),(127,1)}
        15:{3,5,6}:{(6,1),(7,1),(24,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(25,1),(27,1),(29,1),(63,1),(129,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(26,1),(28,1),(29,1),(63,1),(130,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(62,1),(65,1),(128,1)}
        19:{1,2,4,6,7}:{(10,1),(31,1),(32,1),(85,1),(106,1),(107,1),(112,1),(114,1)}
        20:{3,4,5,7}:{(11,1),(35,1),(36,1),(37,1),(78,1)}
        21:{1,4,6,7}:{(11,1),(12,1),(36,1),(41,1),(106,1),(112,1)}
        22:{2,4,6,7}:{(11,1),(13,1),(37,1),(42,1),(107,1),(114,1)}
        23:{1,2,5,6,7}:{(12,1),(13,1),(38,1),(44,1),(72,1),(75,1),(109,1)}
        24:{3,4,6}:{(14,1),(15,1),(41,1),(42,1),(83,1)}
        25:{1,4,5,7}:{(14,1),(16,1),(41,1),(112,1),(134,1)}
        26:{2,4,5,7}:{(14,1),(17,1),(42,1),(114,1),(135,1)}
        27:{1,3,5,6}:{(15,1),(16,1),(41,1),(44,1),(83,1)}
        28:{2,3,5,6}:{(15,1),(17,1),(42,1),(44,1),(83,1)}
        29:{1,2,5,7}:{(16,1),(17,1),(18,1),(44,1),(136,1)}
        30:{1,2,3,6,7}:{(18,1),(45,1),(73,1),(76,1),(83,1),(116,1)}
        31:{1,2,4,5,7}:{(19,1),(46,1),(47,1),(87,1),(88,1),(91,1),(105,1)}
        32:{3,4,6,7}:{(19,1),(47,1),(57,1),(86,1),(98,1),(104,1)}
        33:{2,3,4,6,7}:{(22,1),(50,1),(51,1),(57,1),(58,1),(98,1)}
        34:{1,3,4,6,7}:{(21,1),(52,1),(53,1),(57,1),(60,1),(98,1)}
        35:{3,4,5,6}:{(20,1),(24,1),(54,1),(55,1),(86,1),(97,1),(127,1)}
        36:{1,4,5,7}:{(20,1),(21,1),(52,1),(54,1)}
        37:{2,4,5,7}:{(20,1),(22,1),(50,1),(55,1)}
        38:{1,2,4,6,7}:{(21,1),(22,1),(23,1),(56,1),(57,1),(62,1),(121,1)}
        39:{2,3,4,5,7}:{(26,1),(50,1),(58,1),(59,1),(63,1),(88,1),(98,1),(103,1),(122,1),(127,1),(130,1)}
        40:{1,3,4,5,7}:{(25,1),(52,1),(60,1),(61,1),(63,1),(87,1),(98,1),(101,1),(122,1),(127,1),(129,1)}
        41:{1,4,6}:{(24,1),(25,1),(27,1)}
        42:{2,4,6}:{(24,1),(26,1),(28,1)}
        43:{1,2,4,5,7}:{(25,1),(26,1),(29,1),(62,1),(63,1),(65,1),(105,1)}
        44:{1,2,5,6}:{(27,1),(28,1),(29,1),(62,1)}
        45:{1,2,3,5,7}:{(29,1),(30,1),(63,1),(64,1),(65,1),(94,1),(96,1)}
        46:{1,2,4,5,6}:{(31,1),(67,1),(106,1),(107,1),(109,1)}
        47:{3,5,7}:{(31,1),(32,1),(67,1),(120,1)}
        48:{1,3,4,6,7}:{(32,1),(68,1),(70,1),(73,1),(106,1),(112,1),(118,1),(131,1),(132,1)}
        49:{2,3,4,6,7}:{(32,1),(69,1),(70,1),(76,1),(107,1),(114,1),(119,1),(131,1),(132,1)}
        50:{2,3,5,7}:{(33,1),(37,1),(71,1),(72,1),(78,1)}
        51:{1,2,4,6,7}:{(33,1),(72,1),(73,1),(79,1),(112,1)}
        52:{1,3,5,7}:{(34,1),(36,1),(74,1),(75,1),(78,1)}
        53:{1,2,4,6,7}:{(34,1),(75,1),(76,1),(81,1),(114,1)}
        54:{1,4,5,6}:{(35,1),(36,1),(41,1),(74,1),(106,1),(134,1)}
        55:{2,4,5,6}:{(35,1),(37,1),(42,1),(71,1),(107,1),(135,1)}
        56:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(72,1),(75,1),(77,1),(78,1),(112,1),(114,1)}
        57:{3,6,7}:{(38,1),(78,1),(83,1),(131,1)}
        58:{2,3,4,6}:{(39,1),(42,1),(71,1),(79,1),(83,1),(107,1),(115,1),(131,1)}
        59:{1,2,4,5,7}:{(39,1),(72,1),(79,1),(80,1),(112,1),(117,1),(134,1),(136,1)}
        60:{1,3,4,6}:{(40,1),(41,1),(74,1),(81,1),(83,1),(106,1),(115,1),(131,1)}
        61:{1,2,4,5,7}:{(40,1),(75,1),(81,1),(82,1),(114,1),(117,1),(135,1),(136,1)}
        62:{1,2,4,6}:{(41,1),(42,1),(43,1),(44,1),(83,1)}
        63:{3,5,7}:{(43,1),(83,1),(84,1),(120,1)}
        64:{1,2,3,5,6}:{(44,1),(45,1),(83,1),(85,1),(111,1),(113,1),(116,1),(120,1),(136,1)}
        65:{1,2,4,7}:{(45,1),(84,1),(85,1),(112,1),(114,1)}
        66:{3,4,5,7}:{(47,1),(86,1),(87,1),(88,1),(98,1),(122,1),(127,1)}
        67:{3,5,6}:{(46,1),(47,1),(86,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(87,1),(89,1),(91,1),(122,1),(129,1)}
        69:{2,3,5,7}:{(47,1),(49,1),(88,1),(90,1),(91,1),(122,1),(130,1)}
        70:{1,2,4,6,7}:{(48,1),(49,1),(91,1),(92,1),(121,1),(124,1),(128,1)}
        71:{2,3,5,6}:{(50,1),(55,1),(58,1),(93,1),(97,1),(130,1)}
        72:{1,2,5,7}:{(50,1),(51,1),(93,1),(94,1)}
        73:{1,3,6,7}:{(51,1),(57,1),(94,1),(100,1)}
        74:{1,3,5,6}:{(52,1),(54,1),(60,1),(95,1),(97,1),(129,1)}
        75:{1,2,5,7}:{(52,1),(53,1),(95,1),(96,1)}
        76:{2,3,6,7}:{(53,1),(57,1),(96,1),(102,1)}
        77:{1,2,4,5,6}:{(54,1),(55,1),(56,1),(62,1),(93,1),(95,1),(97,1),(105,1),(121,1),(125,1),(126,1),(138,1)}
        78:{3,5,7}:{(56,1),(57,1),(97,1),(98,1)}
        79:{1,2,4,6}:{(58,1),(59,1),(93,1),(100,1),(125,1)}
        80:{1,3,5,7}:{(59,1),(63,1),(100,1),(101,1),(122,1),(129,1)}
        81:{1,2,4,6}:{(60,1),(61,1),(95,1),(102,1),(126,1)}
        82:{2,3,5,7}:{(61,1),(63,1),(102,1),(103,1),(122,1),(130,1)}
        83:{3,6}:{(62,1),(63,1)}
        84:{3,4,7}:{(63,1),(65,1),(104,1)}
        85:{1,2,4,6}:{(64,1),(65,1),(104,1),(105,1),(125,1),(126,1)}
        86:{3,4,6}:{(66,1),(67,1),(106,1),(107,1),(131,1)}
        87:{1,4,5,7}:{(66,1),(68,1),(106,1),(112,1),(134,1)}
        88:{2,4,5,7}:{(66,1),(69,1),(107,1),(114,1),(135,1)}
        89:{1,3,5,6}:{(67,1),(68,1),(106,1),(109,1),(131,1)}
        90:{2,3,5,6}:{(67,1),(69,1),(107,1),(109,1),(131,1)}
        91:{1,2,5,7}:{(68,1),(69,1),(70,1),(109,1),(136,1)}
        92:{1,2,3,6,7}:{(70,1),(73,1),(76,1),(110,1),(116,1),(131,1)}
        93:{1,2,5,6}:{(71,1),(72,1),(79,1),(111,1),(136,1)}
        94:{1,3,5,7}:{(72,1),(73,1),(78,1),(111,1),(112,1)}
        95:{1,2,5,6}:{(74,1),(75,1),(81,1),(113,1),(136,1)}
        96:{2,3,5,7}:{(75,1),(76,1),(78,1),(113,1),(114,1)}
        97:{3,5,6}:{(77,1),(78,1),(83,1),(115,1),(120,1),(131,1),(139,1)}
        98:{3,4,7}:{(78,1),(112,1),(114,1),(115,1)}
        99:{1,2,3,5,7}:{(80,1),(82,1),(116,1),(117,1),(136,1)}
       100:{1,3,6}:{(79,1),(80,1),(83,1),(131,1)}
       101:{1,3,4,7}:{(80,1),(84,1),(112,1),(117,1),(118,1),(132,1)}
       102:{2,3,6}:{(81,1),(82,1),(83,1),(131,1)}
       103:{2,3,4,7}:{(82,1),(84,1),(114,1),(117,1),(119,1),(132,1)}
       104:{3,4,6}:{(83,1),(84,1),(85,1),(120,1)}
       105:{1,2,4,5}:{(85,1),(120,1),(134,1),(135,1),(136,1)}
       106:{1,4,6}:{(86,1),(87,1),(89,1)}
       107:{2,4,6}:{(86,1),(88,1),(90,1)}
       108:{1,2,4,5,7}:{(87,1),(88,1),(91,1),(121,1),(122,1),(124,1),(138,1)}
       109:{1,2,5,6}:{(89,1),(90,1),(91,1),(121,1)}
       110:{1,2,3,5,7}:{(91,1),(92,1),(94,1),(96,1),(122,1),(123,1),(124,1)}
       111:{1,3,5,6}:{(93,1),(94,1),(97,1),(100,1),(125,1),(129,1)}
       112:{1,4,7}:{(94,1),(98,1),(125,1)}
       113:{2,3,5,6}:{(95,1),(96,1),(97,1),(102,1),(126,1),(130,1)}
       114:{2,4,7}:{(96,1),(98,1),(126,1)}
       115:{3,4,6}:{(97,1),(98,1),(125,1),(126,1),(127,1)}
       116:{1,2,3,6}:{(99,1),(100,1),(102,1),(128,1)}
       117:{1,2,4,7}:{(99,1),(101,1),(103,1),(128,1)}
       118:{1,3,4,6}:{(100,1),(101,1),(104,1),(125,1),(128,1),(129,1),(137,1)}
       119:{2,3,4,6}:{(102,1),(103,1),(104,1),(126,1),(128,1),(130,1),(137,1)}
       120:{3,5}:{(104,1),(105,1)}
       121:{1,2,4,6}:{(106,1),(107,1),(108,1),(109,1),(131,1)}
       122:{3,5,7}:{(108,1),(131,1),(132,1),(139,1)}
       123:{1,2,3,5,6}:{(109,1),(110,1),(111,1),(113,1),(116,1),(131,1),(133,1),(136,1),(139,1)}
       124:{1,2,4,7}:{(110,1),(112,1),(114,1),(132,1),(133,1)}
       125:{1,4,6}:{(111,1),(112,1),(115,1),(134,1)}
       126:{2,4,6}:{(113,1),(114,1),(115,1),(135,1)}
       127:{3,4,5}:{(115,1),(120,1),(134,1),(135,1),(139,1)}
       128:{1,2,4,6}:{(116,1),(117,1),(118,1),(119,1),(136,1)}
       129:{1,3,5}:{(118,1),(120,1),(134,1),(136,1),(139,1)}
       130:{2,3,5}:{(119,1),(120,1),(135,1),(136,1),(139,1)}
       131:{3,6}:{(121,1),(122,1)}
       132:{3,4,7}:{(122,1),(124,1),(137,1)}
       133:{1,2,4,6}:{(123,1),(124,1),(125,1),(126,1),(137,1),(138,1)}
       134:{1,4,5}:{(125,1),(127,1),(129,1)}
       135:{2,4,5}:{(126,1),(127,1),(130,1)}
       136:{1,2,5}:{(128,1),(129,1),(130,1)}
       137:{3,4,6}:{(131,1),(132,1),(133,1),(139,1)}
       138:{1,2,4,5}:{(133,1),(134,1),(135,1),(136,1),(139,1)}
       139:{3,5}:{(137,1),(138,1)}

1806 :  0:{1,3,4,5,7}:{(2,1),(3,1),(12,1),(60,1),(63,1)}
        1:{2,3,4,5,7}:{(2,1),(4,1),(13,1),(60,1),(63,1)}
        2:{1,2,4,5,7}:{(0,1),(1,1),(7,1),(8,1),(22,1),(47,1),(51,1)}
        3:{1,3,4,6}:{(0,1),(8,1),(9,1),(52,1)}
        4:{2,3,4,6}:{(1,1),(8,1),(10,1),(52,1)}
        5:{1,3,4,6,7}:{(3,1),(11,1),(12,1),(31,1),(57,1),(60,1)}
        6:{2,3,4,6,7}:{(4,1),(11,1),(13,1),(32,1),(57,1),(60,1)}
        7:{1,2,3,5,7}:{(2,1),(14,1),(15,1),(37,1)}
        8:{1,2,4,6}:{(2,1),(3,1),(4,1),(15,1),(16,1)}
        9:{1,3,5,6}:{(3,1),(12,1),(16,1),(17,1),(39,1)}
       10:{2,3,5,6}:{(4,1),(13,1),(16,1),(18,1),(39,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(8,1),(21,1),(22,1),(47,1)}
       12:{1,3,5,7}:{(5,1),(9,1),(22,1),(23,1),(48,1)}
       13:{2,3,5,7}:{(6,1),(10,1),(22,1),(24,1),(48,1)}
       14:{1,2,3,4,7}:{(7,1),(25,1),(47,1),(81,1)}
       15:{1,2,3,6}:{(7,1),(8,1)}
       16:{1,2,5,6}:{(8,1),(9,1),(10,1),(22,1)}
       17:{1,4,5,6}:{(9,1),(23,1),(28,1)}
       18:{2,4,5,6}:{(10,1),(24,1),(29,1)}
       19:{1,3,5,6,7}:{(12,1),(30,1),(31,1),(55,1),(57,1)}
       20:{2,3,5,6,7}:{(13,1),(30,1),(32,1),(56,1),(57,1)}
       21:{1,2,3,6,7}:{(11,1),(15,1),(33,1),(57,1),(77,1)}
       22:{1,2,5,7}:{(11,1),(12,1),(13,1),(16,1)}
       23:{1,4,5,7}:{(12,1),(17,1),(31,1),(35,1)}
       24:{2,4,5,7}:{(13,1),(18,1),(32,1),(36,1)}
       25:{1,2,3,4,6}:{(14,1),(15,1),(37,1),(38,1),(80,1),(83,1)}
       26:{1,2,3,5,6}:{(15,1),(16,1),(33,1),(37,1),(38,1),(39,1),(66,1),(80,1)}
       27:{1,2,4,5,6}:{(16,1),(17,1),(18,1),(34,1),(38,1),(39,1),(40,1),(41,1),(66,1)}
       28:{3,4,5,6}:{(17,1),(35,1),(39,1),(40,1)}
       29:{3,4,5,6}:{(18,1),(36,1),(39,1),(41,1)}
       30:{1,2,5,6,7}:{(19,1),(20,1),(22,1),(44,1),(67,1),(68,1)}
       31:{1,4,6,7}:{(19,1),(23,1),(45,1)}
       32:{2,4,6,7}:{(20,1),(24,1),(46,1)}
       33:{1,2,3,5,7}:{(21,1),(22,1),(26,1),(47,1),(48,1),(73,1),(81,1)}
       34:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(27,1),(44,1),(47,1),(48,1),(49,1),(50,1),(73,1)}
       35:{3,4,5,7}:{(23,1),(28,1),(45,1),(48,1),(49,1)}
       36:{3,4,5,7}:{(24,1),(29,1),(46,1),(48,1),(50,1)}
       37:{1,2,3,5}:{(25,1),(51,1)}
       38:{1,2,4,6}:{(26,1),(47,1),(51,1),(52,1)}
       39:{3,5,6}:{(27,1),(48,1),(52,1)}
       40:{2,4,5,6}:{(28,1),(49,1),(54,1)}
       41:{1,4,5,6}:{(29,1),(50,1),(53,1)}
       42:{1,4,5,6,7}:{(31,1),(55,1)}
       43:{2,4,5,6,7}:{(32,1),(56,1)}
       44:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(34,1),(57,1),(58,1),(59,1),(77,1)}
       45:{3,4,6,7}:{(31,1),(35,1),(55,1),(57,1),(58,1)}
       46:{3,4,6,7}:{(32,1),(36,1),(56,1),(57,1),(59,1)}
       47:{1,2,4,7}:{(33,1),(38,1),(60,1)}
       48:{3,5,7}:{(34,1),(39,1),(57,1),(60,1)}
       49:{2,4,5,7}:{(35,1),(40,1),(58,1),(62,1)}
       50:{1,4,5,7}:{(36,1),(41,1),(59,1),(61,1)}
       51:{1,2,4,5}:{(37,1),(38,1),(63,1)}
       52:{3,4,6}:{(38,1),(39,1),(60,1),(63,1)}
       53:{1,3,5,6}:{(39,1),(41,1),(61,1),(64,1),(66,1)}
       54:{2,3,5,6}:{(39,1),(40,1),(62,1),(65,1),(66,1)}
       55:{3,5,6,7}:{(42,1),(45,1),(67,1)}
       56:{3,5,6,7}:{(43,1),(46,1),(68,1)}
       57:{3,6,7}:{(44,1),(48,1)}
       58:{2,4,6,7}:{(45,1),(49,1),(67,1),(70,1)}
       59:{1,4,6,7}:{(46,1),(50,1),(68,1),(69,1)}
       60:{3,4,7}:{(47,1),(48,1),(52,1)}
       61:{1,3,5,7}:{(48,1),(50,1),(53,1),(69,1),(71,1),(73,1)}
       62:{2,3,5,7}:{(48,1),(49,1),(54,1),(70,1),(72,1),(73,1)}
       63:{3,4,5}:{(51,1),(52,1)}
       64:{1,3,4,6}:{(52,1),(53,1),(71,1),(74,1),(76,1)}
       65:{2,3,4,6}:{(52,1),(54,1),(72,1),(75,1),(76,1)}
       66:{1,2,5,6}:{(53,1),(54,1),(73,1),(76,1)}
       67:{2,5,6,7}:{(55,1),(58,1)}
       68:{1,5,6,7}:{(56,1),(59,1)}
       69:{1,3,6,7}:{(57,1),(59,1),(61,1),(77,1)}
       70:{2,3,6,7}:{(57,1),(58,1),(62,1),(77,1)}
       71:{1,3,4,7}:{(60,1),(61,1),(64,1),(78,1)}
       72:{2,3,4,7}:{(60,1),(62,1),(65,1),(78,1)}
       73:{1,2,5,7}:{(61,1),(62,1),(66,1),(77,1),(78,1)}
       74:{1,3,4,5}:{(63,1),(64,1),(79,1)}
       75:{2,3,4,5}:{(63,1),(65,1),(79,1)}
       76:{1,2,4,6}:{(64,1),(65,1),(66,1),(78,1),(79,1),(80,1)}
       77:{1,2,6,7}:{(69,1),(70,1),(73,1)}
       78:{1,2,4,7}:{(71,1),(72,1),(73,1),(76,1),(81,1)}
       79:{1,2,4,5}:{(74,1),(75,1),(76,1),(82,1)}
       80:{1,2,3,6}:{(76,1),(81,1),(82,1)}
       81:{1,2,3,7}:{(78,1),(80,1)}
       82:{1,2,3,5}:{(79,1),(80,1),(83,1)}
       83:{1,2,3,4}:{(82,1)}

1807 :  0:{1,2,3,4,7}:{(1,1),(2,1),(29,1),(80,1)}
        1:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        2:{1,2,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(71,1),(72,1)}
        3:{1,3,4,5,7}:{(5,1),(8,1),(22,1),(23,1),(42,1)}
        4:{2,3,4,5,7}:{(5,1),(9,1),(22,1),(25,1),(42,1)}
        5:{1,2,4,5,7}:{(1,1),(3,1),(4,1),(10,1),(13,1),(27,1),(29,1)}
        6:{1,2,3,6}:{(1,1),(10,1)}
        7:{1,2,3,5}:{(2,1),(13,1)}
        8:{1,3,4,6}:{(3,1),(10,1),(15,1),(30,1)}
        9:{2,3,4,6}:{(4,1),(10,1),(17,1),(30,1)}
       10:{1,2,4,6}:{(5,1),(6,1),(8,1),(9,1),(19,1)}
       11:{1,2,3,6,7}:{(6,1),(18,1),(20,1),(66,1),(83,1)}
       12:{1,2,3,5,6}:{(6,1),(7,1),(19,1),(20,1),(21,1),(41,1),(69,1),(71,1)}
       13:{1,2,4,5}:{(7,1),(21,1),(22,1)}
       14:{1,3,4,6,7}:{(8,1),(18,1),(23,1),(42,1),(46,1),(66,1)}
       15:{1,3,5,6}:{(8,1),(19,1),(23,1),(24,1),(41,1)}
       16:{2,3,4,6,7}:{(9,1),(18,1),(25,1),(42,1),(49,1),(66,1)}
       17:{2,3,5,6}:{(9,1),(19,1),(25,1),(26,1),(41,1)}
       18:{1,2,4,6,7}:{(10,1),(11,1),(14,1),(16,1),(27,1),(29,1)}
       19:{1,2,5,6}:{(10,1),(15,1),(17,1),(27,1)}
       20:{1,2,3,5,7}:{(11,1),(12,1),(27,1),(29,1),(53,1),(79,1),(80,1)}
       21:{1,2,4,6}:{(12,1),(13,1),(29,1),(30,1)}
       22:{3,4,5}:{(13,1),(30,1)}
       23:{1,3,5,7}:{(14,1),(15,1),(27,1),(34,1),(53,1)}
       24:{1,4,5,6}:{(15,1),(34,1),(35,1)}
       25:{2,3,5,7}:{(16,1),(17,1),(27,1),(37,1),(53,1)}
       26:{2,4,5,6}:{(17,1),(37,1),(38,1)}
       27:{1,2,5,7}:{(18,1),(19,1),(23,1),(25,1)}
       28:{1,2,4,5,6}:{(19,1),(21,1),(24,1),(26,1),(40,1),(41,1),(48,1),(51,1),(69,1)}
       29:{1,2,4,7}:{(20,1),(21,1),(42,1)}
       30:{3,4,6}:{(21,1),(22,1),(41,1),(42,1)}
       31:{1,3,4,5}:{(22,1),(43,1),(45,1)}
       32:{2,3,4,5}:{(22,1),(44,1),(45,1)}
       33:{1,3,5,6,7}:{(23,1),(39,1),(46,1),(66,1),(73,1)}
       34:{1,4,5,7}:{(23,1),(24,1),(46,1),(47,1)}
       35:{3,4,5,6}:{(24,1),(41,1),(47,1),(48,1)}
       36:{2,3,5,6,7}:{(25,1),(39,1),(49,1),(66,1),(75,1)}
       37:{2,4,5,7}:{(25,1),(26,1),(49,1),(50,1)}
       38:{3,4,5,6}:{(26,1),(41,1),(50,1),(51,1)}
       39:{1,2,5,6,7}:{(27,1),(33,1),(36,1),(52,1),(81,1),(82,1)}
       40:{1,2,4,5,7}:{(27,1),(28,1),(29,1),(34,1),(37,1),(52,1),(53,1),(62,1),(65,1),(79,1)}
       41:{3,5,6}:{(28,1),(30,1),(53,1)}
       42:{3,4,7}:{(29,1),(30,1),(53,1)}
       43:{1,3,4,6}:{(30,1),(31,1),(54,1),(56,1),(58,1)}
       44:{2,3,4,6}:{(30,1),(32,1),(55,1),(57,1),(58,1)}
       45:{1,2,4,5}:{(31,1),(32,1),(58,1),(59,1)}
       46:{1,4,6,7}:{(33,1),(34,1),(61,1)}
       47:{3,4,5,7}:{(34,1),(35,1),(53,1),(61,1),(62,1)}
       48:{2,4,5,6}:{(35,1),(55,1),(62,1)}
       49:{2,4,6,7}:{(36,1),(37,1),(64,1)}
       50:{3,4,5,7}:{(37,1),(38,1),(53,1),(64,1),(65,1)}
       51:{1,4,5,6}:{(38,1),(54,1),(65,1)}
       52:{1,2,4,6,7}:{(39,1),(40,1),(46,1),(49,1),(66,1),(74,1),(76,1),(83,1)}
       53:{3,5,7}:{(40,1),(41,1),(42,1),(66,1)}
       54:{1,3,5,6}:{(41,1),(43,1),(51,1),(67,1),(69,1)}
       55:{2,3,5,6}:{(41,1),(44,1),(48,1),(68,1),(69,1)}
       56:{1,3,4,7}:{(42,1),(43,1),(67,1),(70,1)}
       57:{2,3,4,7}:{(42,1),(44,1),(68,1),(70,1)}
       58:{1,2,4,6}:{(43,1),(44,1),(45,1),(69,1),(70,1),(71,1)}
       59:{1,2,3,5}:{(45,1),(71,1),(72,1)}
       60:{1,4,5,6,7}:{(46,1),(73,1)}
       61:{3,4,6,7}:{(46,1),(47,1),(66,1),(73,1),(74,1)}
       62:{2,4,5,7}:{(47,1),(48,1),(68,1),(74,1)}
       63:{2,4,5,6,7}:{(49,1),(75,1)}
       64:{3,4,6,7}:{(49,1),(50,1),(66,1),(75,1),(76,1)}
       65:{1,4,5,7}:{(50,1),(51,1),(67,1),(76,1)}
       66:{3,6,7}:{(52,1),(53,1)}
       67:{1,3,5,7}:{(53,1),(54,1),(56,1),(65,1),(77,1),(79,1)}
       68:{2,3,5,7}:{(53,1),(55,1),(57,1),(62,1),(78,1),(79,1)}
       69:{1,2,5,6}:{(54,1),(55,1),(58,1),(79,1)}
       70:{1,2,4,7}:{(56,1),(57,1),(58,1),(79,1),(80,1)}
       71:{1,2,3,6}:{(58,1),(59,1),(80,1)}
       72:{1,2,3,4}:{(59,1)}
       73:{3,5,6,7}:{(60,1),(61,1),(81,1)}
       74:{2,4,6,7}:{(61,1),(62,1),(78,1),(81,1)}
       75:{3,5,6,7}:{(63,1),(64,1),(82,1)}
       76:{1,4,6,7}:{(64,1),(65,1),(77,1),(82,1)}
       77:{1,3,6,7}:{(66,1),(67,1),(76,1),(83,1)}
       78:{2,3,6,7}:{(66,1),(68,1),(74,1),(83,1)}
       79:{1,2,5,7}:{(67,1),(68,1),(69,1),(70,1),(83,1)}
       80:{1,2,3,7}:{(70,1),(71,1)}
       81:{2,5,6,7}:{(73,1),(74,1)}
       82:{1,5,6,7}:{(75,1),(76,1)}
       83:{1,2,6,7}:{(77,1),(78,1),(79,1)}

1808 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(6,1),(7,1),(8,1),(24,1),(25,1),(49,1),(85,1)}
         2:{1,2,3,5}:{(0,1),(5,1),(8,1)}
         3:{1,3,4,5}:{(5,1),(9,1),(22,1)}
         4:{2,3,4,5}:{(5,1),(10,1),(22,1)}
         5:{1,2,4,5}:{(2,1),(3,1),(4,1),(11,1)}
         6:{1,2,3,4,7}:{(1,1),(13,1),(15,1),(38,1),(97,1)}
         7:{1,2,3,5}:{(1,1),(12,1)}
         8:{1,2,3,6}:{(2,1),(11,1),(15,1)}
         9:{1,3,4,6}:{(3,1),(11,1),(16,1),(17,1),(36,1)}
        10:{2,3,4,6}:{(4,1),(11,1),(18,1),(19,1),(36,1)}
        11:{1,2,4,6}:{(5,1),(8,1),(9,1),(10,1),(20,1),(21,1)}
        12:{1,2,4,5}:{(7,1),(22,1),(24,1)}
        13:{1,2,3,5,7}:{(6,1),(7,1),(23,1),(25,1)}
        14:{1,2,3,5,6}:{(7,1),(8,1),(20,1),(24,1),(25,1),(26,1),(46,1),(55,1),(80,1),(85,1)}
        15:{1,2,3,7}:{(8,1),(21,1)}
        16:{1,3,5,6}:{(9,1),(20,1),(27,1),(28,1),(46,1)}
        17:{1,3,4,7}:{(9,1),(21,1),(28,1),(54,1)}
        18:{2,3,5,6}:{(10,1),(20,1),(29,1),(30,1),(46,1)}
        19:{2,3,4,7}:{(10,1),(21,1),(30,1),(54,1)}
        20:{1,2,5,6}:{(11,1),(16,1),(18,1),(32,1)}
        21:{1,2,4,7}:{(11,1),(15,1),(17,1),(19,1),(32,1)}
        22:{3,4,5}:{(12,1),(36,1)}
        23:{1,2,4,5,7}:{(12,1),(13,1),(35,1),(37,1),(38,1),(73,1)}
        24:{1,2,4,6}:{(12,1),(14,1),(36,1),(38,1)}
        25:{1,2,3,6}:{(13,1),(37,1)}
        26:{1,2,3,5,7}:{(14,1),(15,1),(32,1),(38,1),(39,1),(65,1),(73,1),(93,1),(97,1)}
        27:{1,4,5,6}:{(16,1),(40,1),(41,1)}
        28:{1,3,5,7}:{(16,1),(17,1),(32,1),(41,1),(42,1),(65,1)}
        29:{2,4,5,6}:{(18,1),(43,1),(44,1)}
        30:{2,3,5,7}:{(18,1),(19,1),(32,1),(44,1),(45,1),(65,1)}
        31:{1,2,4,5,6}:{(20,1),(24,1),(27,1),(29,1),(46,1),(47,1),(55,1),(57,1),(60,1),(80,1),(87,1)}
        32:{1,2,5,7}:{(20,1),(21,1),(28,1),(30,1),(48,1)}
        33:{2,3,4,5}:{(22,1),(50,1),(51,1)}
        34:{1,3,4,5}:{(22,1),(50,1),(52,1)}
        35:{3,4,5,7}:{(22,1),(23,1),(53,1),(54,1),(88,1)}
        36:{3,4,6}:{(22,1),(24,1),(46,1),(54,1)}
        37:{1,2,4,6}:{(23,1),(25,1),(53,1),(55,1)}
        38:{1,2,4,7}:{(24,1),(26,1),(54,1)}
        39:{1,2,3,6,7}:{(25,1),(26,1),(48,1),(56,1),(83,1),(103,1)}
        40:{3,4,5,6}:{(27,1),(46,1),(57,1),(58,1),(87,1)}
        41:{1,4,5,7}:{(27,1),(28,1),(58,1),(59,1)}
        42:{1,3,6,7}:{(28,1),(48,1),(59,1),(83,1)}
        43:{3,4,5,6}:{(29,1),(46,1),(60,1),(61,1),(87,1)}
        44:{2,4,5,7}:{(29,1),(30,1),(61,1),(62,1)}
        45:{2,3,6,7}:{(30,1),(48,1),(62,1),(83,1)}
        46:{3,5,6}:{(31,1),(36,1),(65,1)}
        47:{1,2,4,5,7}:{(31,1),(32,1),(38,1),(41,1),(44,1),(65,1),(66,1),(73,1),(74,1),(77,1),(93,1),(98,1)}
        48:{1,2,6,7}:{(32,1),(42,1),(45,1)}
        49:{1,2,3,4}:{(67,1)}
        50:{1,2,4,5}:{(33,1),(34,1),(67,1),(68,1)}
        51:{2,3,4,6}:{(33,1),(36,1),(63,1),(68,1),(69,1)}
        52:{1,3,4,6}:{(34,1),(36,1),(64,1),(68,1),(70,1)}
        53:{3,4,6}:{(35,1),(37,1),(71,1)}
        54:{3,4,7}:{(36,1),(38,1),(65,1)}
        55:{1,2,5,6}:{(37,1),(71,1),(73,1)}
        56:{1,2,4,6,7}:{(37,1),(38,1),(39,1),(72,1),(73,1)}
        57:{2,4,5,6}:{(40,1),(63,1),(74,1)}
        58:{3,4,5,7}:{(40,1),(41,1),(65,1),(74,1),(75,1),(98,1)}
        59:{1,4,6,7}:{(41,1),(42,1),(75,1),(76,1)}
        60:{1,4,5,6}:{(43,1),(64,1),(77,1)}
        61:{3,4,5,7}:{(43,1),(44,1),(65,1),(77,1),(78,1),(98,1)}
        62:{2,4,6,7}:{(44,1),(45,1),(78,1),(79,1)}
        63:{2,3,5,6}:{(46,1),(51,1),(57,1),(80,1),(81,1)}
        64:{1,3,5,6}:{(46,1),(52,1),(60,1),(80,1),(82,1)}
        65:{3,5,7}:{(46,1),(47,1),(54,1),(83,1)}
        66:{1,2,4,6,7}:{(47,1),(48,1),(59,1),(62,1),(83,1),(84,1),(89,1),(91,1),(103,1),(104,1)}
        67:{1,2,3,5}:{(49,1),(50,1),(85,1)}
        68:{1,2,4,6}:{(50,1),(51,1),(52,1),(80,1),(85,1),(86,1)}
        69:{2,3,4,7}:{(51,1),(54,1),(81,1),(86,1)}
        70:{1,3,4,7}:{(52,1),(54,1),(82,1),(86,1)}
        71:{3,5,6}:{(53,1),(55,1),(87,1),(88,1)}
        72:{3,4,6,7}:{(53,1),(54,1),(56,1),(83,1),(88,1),(104,1)}
        73:{1,2,5,7}:{(55,1),(56,1),(88,1)}
        74:{2,4,5,7}:{(57,1),(58,1),(81,1),(89,1)}
        75:{3,4,6,7}:{(58,1),(59,1),(83,1),(89,1),(90,1),(104,1)}
        76:{1,5,6,7}:{(59,1),(90,1)}
        77:{1,4,5,7}:{(60,1),(61,1),(82,1),(91,1)}
        78:{3,4,6,7}:{(61,1),(62,1),(83,1),(91,1),(92,1),(104,1)}
        79:{2,5,6,7}:{(62,1),(92,1)}
        80:{1,2,5,6}:{(63,1),(64,1),(68,1),(93,1)}
        81:{2,3,5,7}:{(63,1),(65,1),(69,1),(74,1),(93,1),(94,1)}
        82:{1,3,5,7}:{(64,1),(65,1),(70,1),(77,1),(93,1),(95,1)}
        83:{3,6,7}:{(65,1),(66,1)}
        84:{1,2,5,6,7}:{(66,1),(73,1),(76,1),(79,1),(96,1),(99,1),(101,1)}
        85:{1,2,3,6}:{(67,1),(68,1),(97,1)}
        86:{1,2,4,7}:{(68,1),(69,1),(70,1),(93,1),(97,1)}
        87:{4,5,6}:{(71,1),(98,1)}
        88:{3,5,7}:{(71,1),(72,1),(73,1),(98,1)}
        89:{2,4,6,7}:{(74,1),(75,1),(94,1),(99,1)}
        90:{3,5,6,7}:{(75,1),(76,1),(99,1),(100,1)}
        91:{1,4,6,7}:{(77,1),(78,1),(95,1),(101,1)}
        92:{3,5,6,7}:{(78,1),(79,1),(101,1),(102,1)}
        93:{1,2,5,7}:{(80,1),(81,1),(82,1),(86,1),(103,1)}
        94:{2,3,6,7}:{(81,1),(83,1),(89,1),(103,1)}
        95:{1,3,6,7}:{(82,1),(83,1),(91,1),(103,1)}
        96:{3,5,6,7}:{(83,1),(84,1),(88,1),(104,1)}
        97:{1,2,3,7}:{(85,1),(86,1)}
        98:{4,5,7}:{(87,1),(88,1),(104,1)}
        99:{2,5,6,7}:{(89,1),(90,1)}
       100:{4,5,6,7}:{(90,1),(104,1)}
       101:{1,5,6,7}:{(91,1),(92,1)}
       102:{4,5,6,7}:{(92,1),(104,1)}
       103:{1,2,6,7}:{(93,1),(94,1),(95,1)}
       104:{4,6,7}:{(96,1),(98,1)}

1809 :   0:{1,2,3,6,7}:{(3,1),(4,1),(44,1),(80,1),(81,1),(82,1),(83,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(42,1),(44,1),(50,1),(82,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(44,1),(54,1),(81,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(27,1),(61,1),(69,1),(72,1),(94,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(28,1),(65,1),(66,1),(90,1),(91,1),(93,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(11,1),(28,1),(60,1),(67,1)}
         6:{1,3,5,7}:{(2,1),(8,1),(12,1),(13,1),(28,1),(59,1),(70,1)}
         7:{1,2,3,5,6}:{(4,1),(14,1),(15,1),(40,1),(44,1),(77,1),(78,1),(79,1),(80,1),(83,1)}
         8:{1,2,5,7}:{(3,1),(5,1),(6,1),(15,1),(79,1),(84,1),(85,1)}
         9:{1,2,4,7}:{(4,1),(14,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(15,1),(19,1),(44,1),(49,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(75,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(15,1),(22,1),(44,1),(53,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(74,1),(95,1)}
        14:{1,2,4,6}:{(7,1),(9,1),(24,1),(25,1),(87,1),(88,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(12,1),(27,1),(68,1),(71,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(11,1),(13,1),(24,1),(27,1),(28,1),(34,1),(38,1),(65,1),(89,1),(101,1)}
        17:{3,4,7}:{(9,1),(25,1),(28,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(26,1),(32,1),(62,1),(67,1),(91,1)}
        19:{2,4,6}:{(10,1),(11,1),(33,1)}
        20:{3,4,5,7}:{(11,1),(28,1),(33,1),(34,1),(56,1),(67,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(26,1),(36,1),(62,1),(70,1),(90,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(28,1),(37,1),(38,1),(56,1),(70,1),(86,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(74,1),(75,1),(79,1)}
        25:{3,4,6}:{(14,1),(17,1),(40,1),(44,1)}
        26:{1,2,5,6,7}:{(15,1),(18,1),(21,1),(43,1),(84,1),(85,1),(99,1)}
        27:{1,2,4,6}:{(15,1),(16,1),(19,1),(22,1),(44,1),(51,1),(55,1),(83,1)}
        28:{3,5,7}:{(16,1),(17,1),(40,1),(44,1),(98,1),(104,1)}
        29:{1,3,4,7}:{(17,1),(41,1),(45,1),(47,1),(95,1),(104,1)}
        30:{2,3,4,7}:{(17,1),(42,1),(46,1),(47,1),(96,1),(104,1)}
        31:{2,4,5,6}:{(19,1),(48,1),(49,1)}
        32:{2,4,6,7}:{(18,1),(19,1),(48,1),(50,1),(96,1)}
        33:{3,4,6}:{(19,1),(20,1),(44,1),(49,1),(51,1)}
        34:{1,4,5,7}:{(20,1),(45,1),(51,1),(74,1),(84,1),(95,1)}
        35:{1,4,5,6}:{(22,1),(52,1),(53,1)}
        36:{1,4,6,7}:{(21,1),(22,1),(52,1),(54,1),(95,1)}
        37:{3,4,6}:{(22,1),(23,1),(44,1),(53,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(46,1),(55,1),(75,1),(85,1),(96,1)}
        39:{1,2,4,5,6}:{(24,1),(27,1),(31,1),(35,1),(57,1),(58,1),(68,1),(71,1),(87,1),(88,1),(92,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(29,1),(59,1),(61,1),(63,1),(87,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(30,1),(60,1),(61,1),(64,1),(88,1),(102,1),(103,1)}
        43:{1,2,4,6,7}:{(26,1),(27,1),(32,1),(36,1),(57,1),(62,1),(69,1),(72,1),(94,1),(101,1)}
        44:{3,6}:{(27,1),(28,1)}
        45:{1,3,5,7}:{(28,1),(29,1),(34,1),(59,1),(63,1),(65,1)}
        46:{2,3,5,7}:{(28,1),(30,1),(38,1),(60,1),(64,1),(65,1)}
        47:{1,2,4,7}:{(29,1),(30,1),(61,1),(65,1),(66,1)}
        48:{2,4,5,7}:{(31,1),(32,1),(67,1)}
        49:{3,5,6}:{(31,1),(33,1),(67,1),(68,1)}
        50:{3,4,6,7}:{(32,1),(33,1),(62,1),(67,1),(69,1),(86,1)}
        51:{1,4,6}:{(33,1),(34,1),(63,1),(68,1)}
        52:{1,4,5,7}:{(35,1),(36,1),(70,1)}
        53:{3,5,6}:{(35,1),(37,1),(70,1),(71,1)}
        54:{3,4,6,7}:{(36,1),(37,1),(62,1),(70,1),(72,1),(86,1)}
        55:{2,4,6}:{(37,1),(38,1),(64,1),(71,1)}
        56:{3,4,5}:{(40,1),(73,1),(74,1),(75,1),(98,1)}
        57:{1,2,4,5,7}:{(39,1),(43,1),(48,1),(52,1),(76,1),(84,1),(85,1),(95,1),(96,1),(99,1)}
        58:{3,5,6}:{(39,1),(40,1),(44,1),(73,1),(76,1)}
        59:{1,3,5}:{(40,1),(41,1),(74,1),(79,1),(98,1)}
        60:{2,3,5}:{(40,1),(42,1),(75,1),(79,1),(98,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(47,1),(79,1),(80,1),(83,1),(100,1)}
        62:{3,6,7}:{(43,1),(44,1),(76,1),(104,1)}
        63:{1,3,6}:{(44,1),(45,1),(51,1),(83,1)}
        64:{2,3,6}:{(44,1),(46,1),(55,1),(83,1)}
        65:{1,2,5,7}:{(45,1),(46,1),(47,1),(79,1),(83,1)}
        66:{1,2,3,7}:{(47,1),(80,1),(104,1)}
        67:{3,5,7}:{(48,1),(49,1),(50,1),(84,1)}
        68:{1,5,6}:{(49,1),(51,1),(84,1)}
        69:{1,4,6,7}:{(50,1),(51,1),(81,1),(84,1),(95,1)}
        70:{3,5,7}:{(52,1),(53,1),(54,1),(85,1)}
        71:{2,5,6}:{(53,1),(55,1),(85,1)}
        72:{2,4,6,7}:{(54,1),(55,1),(82,1),(85,1),(96,1)}
        73:{3,4,6}:{(56,1),(58,1),(86,1),(87,1),(88,1),(102,1)}
        74:{1,4,5}:{(56,1),(59,1),(87,1)}
        75:{2,4,5}:{(56,1),(60,1),(88,1)}
        76:{3,5,7}:{(57,1),(58,1),(62,1),(86,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(68,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(64,1),(71,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(66,1),(93,1),(102,1)}
        81:{1,3,6,7}:{(62,1),(63,1),(69,1),(90,1),(94,1)}
        82:{2,3,6,7}:{(62,1),(64,1),(72,1),(91,1),(94,1)}
        83:{1,2,6}:{(63,1),(64,1),(65,1)}
        84:{1,5,7}:{(67,1),(68,1),(69,1)}
        85:{2,5,7}:{(70,1),(71,1),(72,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        88:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(74,1),(75,1),(79,1),(97,1),(98,1),(100,1)}
        90:{1,3,5,7}:{(76,1),(77,1),(81,1),(84,1),(95,1),(99,1),(104,1)}
        91:{2,3,5,7}:{(76,1),(78,1),(82,1),(85,1),(96,1),(99,1),(104,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(83,1),(97,1),(99,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(98,1),(100,1)}
        94:{1,2,6,7}:{(81,1),(82,1),(83,1),(99,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,4,6}:{(87,1),(88,1),(89,1),(92,1),(101,1),(102,1)}
        98:{3,5}:{(89,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(90,1),(91,1),(92,1),(94,1),(101,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1810 :   0:{1,3,4,6,7}:{(2,1),(3,1),(14,1),(39,1),(42,1),(45,1),(70,1),(73,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(40,1),(42,1),(45,1),(71,1),(74,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(26,1),(29,1),(55,1),(56,1),(84,1),(87,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(30,1),(49,1),(85,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(8,1),(10,1),(30,1),(50,1),(86,1)}
         5:{1,3,5,6}:{(3,1),(13,1),(14,1),(36,1),(42,1)}
         6:{2,3,5,6}:{(4,1),(13,1),(15,1),(37,1),(42,1)}
         7:{1,2,3,6,7}:{(2,1),(16,1),(42,1),(70,1),(71,1),(75,1),(96,1),(101,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(4,1),(13,1),(65,1),(66,1),(95,1)}
         9:{1,4,5,7}:{(3,1),(14,1),(18,1),(89,1),(92,1)}
        10:{2,4,5,7}:{(4,1),(15,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(5,1),(22,1),(23,1),(49,1),(54,1),(78,1)}
        12:{2,3,5,6,7}:{(6,1),(22,1),(24,1),(50,1),(54,1),(79,1)}
        13:{1,2,5,6}:{(5,1),(6,1),(8,1),(26,1),(52,1),(53,1)}
        14:{1,4,6}:{(5,1),(9,1),(27,1)}
        15:{2,4,6}:{(6,1),(10,1),(28,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(25,1),(29,1),(30,1),(63,1),(78,1),(79,1),(88,1),(100,1)}
        17:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(26,1),(29,1),(30,1),(31,1),(32,1),(57,1),(63,1),(97,1),(98,1)}
        18:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(49,1),(77,1),(80,1)}
        19:{3,4,5,7}:{(10,1),(28,1),(30,1),(32,1),(50,1),(77,1),(80,1)}
        20:{1,4,5,6}:{(14,1),(33,1),(36,1)}
        21:{2,4,5,6}:{(15,1),(34,1),(37,1)}
        22:{1,2,5,6,7}:{(11,1),(12,1),(13,1),(38,1),(65,1),(66,1),(91,1)}
        23:{1,4,6,7}:{(11,1),(14,1),(33,1),(39,1),(89,1)}
        24:{2,4,6,7}:{(12,1),(15,1),(34,1),(40,1),(90,1)}
        25:{1,2,3,5,6}:{(13,1),(16,1),(41,1),(42,1),(68,1),(69,1),(72,1),(75,1),(95,1),(96,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(42,1),(43,1),(44,1),(75,1)}
        27:{3,4,6}:{(14,1),(18,1),(36,1),(42,1),(43,1)}
        28:{3,4,6}:{(15,1),(19,1),(37,1),(42,1),(44,1)}
        29:{1,2,4,7}:{(16,1),(41,1),(45,1),(89,1),(90,1),(103,1)}
        30:{3,5,7}:{(17,1),(42,1),(45,1),(72,1),(101,1),(102,1)}
        31:{2,4,5,7}:{(18,1),(43,1),(47,1),(65,1),(90,1),(93,1)}
        32:{1,4,5,7}:{(19,1),(44,1),(46,1),(66,1),(89,1),(92,1)}
        33:{1,4,5,7}:{(20,1),(23,1),(49,1)}
        34:{2,4,5,7}:{(21,1),(24,1),(50,1)}
        35:{1,2,4,5,6}:{(20,1),(21,1),(26,1),(48,1),(51,1),(52,1),(53,1),(57,1),(81,1),(82,1),(83,1)}
        36:{3,5,6}:{(20,1),(27,1),(49,1),(52,1)}
        37:{3,5,6}:{(21,1),(28,1),(50,1),(53,1)}
        38:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(26,1),(48,1),(54,1),(55,1),(56,1),(84,1),(97,1)}
        39:{3,4,6,7}:{(23,1),(27,1),(49,1),(54,1),(55,1),(77,1)}
        40:{3,4,6,7}:{(24,1),(28,1),(50,1),(54,1),(56,1),(77,1)}
        41:{1,2,4,6}:{(25,1),(29,1),(57,1),(58,1),(81,1),(82,1)}
        42:{3,6}:{(26,1),(30,1)}
        43:{2,4,6}:{(27,1),(31,1),(52,1),(60,1)}
        44:{1,4,6}:{(28,1),(32,1),(53,1),(59,1)}
        45:{3,4,7}:{(29,1),(30,1),(58,1),(104,1)}
        46:{1,3,5,7}:{(30,1),(32,1),(59,1),(61,1),(63,1),(85,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(60,1),(62,1),(63,1),(86,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(38,1),(64,1),(65,1),(66,1),(89,1),(90,1),(91,1)}
        49:{3,5,7}:{(33,1),(36,1),(39,1),(65,1)}
        50:{3,5,7}:{(34,1),(37,1),(40,1),(66,1)}
        51:{3,5,6}:{(35,1),(42,1),(64,1),(67,1),(72,1)}
        52:{2,5,6}:{(36,1),(43,1),(65,1)}
        53:{1,5,6}:{(37,1),(44,1),(66,1)}
        54:{3,6,7}:{(38,1),(42,1),(64,1),(101,1)}
        55:{2,4,6,7}:{(39,1),(43,1),(65,1),(71,1),(90,1)}
        56:{1,4,6,7}:{(40,1),(44,1),(66,1),(70,1),(89,1)}
        57:{1,2,4,5}:{(41,1),(72,1),(92,1),(93,1),(95,1)}
        58:{3,4,6}:{(41,1),(42,1),(45,1),(72,1)}
        59:{1,3,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{2,3,6}:{(42,1),(43,1),(47,1),(75,1)}
        61:{1,3,4,7}:{(45,1),(46,1),(73,1),(76,1),(89,1),(101,1)}
        62:{2,3,4,7}:{(45,1),(47,1),(74,1),(76,1),(90,1),(101,1)}
        63:{1,2,5,7}:{(46,1),(47,1),(75,1),(76,1),(95,1)}
        64:{3,5,7}:{(48,1),(51,1),(54,1),(77,1)}
        65:{2,5,7}:{(49,1),(52,1),(55,1)}
        66:{1,5,7}:{(50,1),(53,1),(56,1)}
        67:{3,4,6}:{(51,1),(77,1),(80,1),(81,1),(82,1),(99,1)}
        68:{1,3,5,6}:{(51,1),(53,1),(59,1),(78,1),(81,1),(83,1),(85,1),(99,1)}
        69:{2,3,5,6}:{(51,1),(52,1),(60,1),(79,1),(82,1),(83,1),(86,1),(99,1)}
        70:{1,3,6,7}:{(54,1),(56,1),(59,1),(78,1),(84,1)}
        71:{2,3,6,7}:{(54,1),(55,1),(60,1),(79,1),(84,1)}
        72:{3,5}:{(57,1),(58,1)}
        73:{1,3,4,6}:{(58,1),(59,1),(61,1),(81,1),(85,1),(87,1),(99,1),(104,1)}
        74:{2,3,4,6}:{(58,1),(60,1),(62,1),(82,1),(86,1),(87,1),(99,1),(104,1)}
        75:{1,2,6}:{(59,1),(60,1),(63,1)}
        76:{1,2,4,7}:{(61,1),(62,1),(63,1),(87,1),(88,1)}
        77:{3,4,7}:{(64,1),(67,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(66,1),(68,1),(70,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(69,1),(71,1),(90,1),(91,1),(101,1)}
        80:{3,4,5}:{(67,1),(72,1),(92,1),(93,1),(102,1)}
        81:{1,4,6}:{(67,1),(68,1),(89,1),(92,1)}
        82:{2,4,6}:{(67,1),(69,1),(90,1),(93,1)}
        83:{1,2,5,6}:{(68,1),(69,1),(75,1),(91,1),(94,1),(95,1)}
        84:{1,2,6,7}:{(70,1),(71,1),(75,1),(91,1)}
        85:{1,3,5}:{(72,1),(73,1),(92,1),(95,1),(102,1)}
        86:{2,3,5}:{(72,1),(74,1),(93,1),(95,1),(102,1)}
        87:{1,2,4,6}:{(73,1),(74,1),(75,1),(76,1),(95,1),(96,1),(103,1)}
        88:{1,2,3,7}:{(76,1),(96,1),(101,1)}
        89:{1,4,7}:{(77,1),(78,1),(81,1)}
        90:{2,4,7}:{(77,1),(79,1),(82,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(83,1),(84,1),(97,1)}
        92:{1,4,5}:{(80,1),(81,1),(85,1)}
        93:{2,4,5}:{(80,1),(82,1),(86,1)}
        94:{1,2,4,6}:{(81,1),(82,1),(83,1),(97,1),(98,1),(99,1)}
        95:{1,2,5}:{(85,1),(86,1),(87,1)}
        96:{1,2,3,6}:{(87,1),(88,1),(99,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(94,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
        99:{3,6}:{(94,1),(101,1),(102,1)}
       100:{1,2,3,5}:{(95,1),(96,1),(102,1),(103,1)}
       101:{3,7}:{(97,1),(99,1)}
       102:{3,5}:{(98,1),(99,1),(104,1)}
       103:{1,2,4}:{(100,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1811 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(8,1),(20,1),(22,1),(25,1),(49,1)}
         2:{1,2,3,5}:{(0,1),(7,1),(8,1)}
         3:{1,3,4,5}:{(7,1),(9,1),(21,1)}
         4:{2,3,4,5}:{(7,1),(10,1),(21,1)}
         5:{1,2,3,5}:{(1,1),(11,1)}
         6:{1,2,3,4,7}:{(1,1),(13,1),(15,1),(38,1),(66,1)}
         7:{1,2,4,5}:{(2,1),(3,1),(4,1),(14,1)}
         8:{1,2,3,6}:{(2,1),(14,1),(15,1)}
         9:{1,3,4,6}:{(3,1),(14,1),(16,1),(17,1),(35,1)}
        10:{2,3,4,6}:{(4,1),(14,1),(18,1),(19,1),(35,1)}
        11:{1,2,4,5}:{(5,1),(21,1),(22,1)}
        12:{1,2,3,5,6}:{(5,1),(8,1),(22,1),(24,1),(25,1),(26,1),(49,1),(52,1),(57,1),(82,1)}
        13:{1,2,3,5,7}:{(5,1),(6,1),(23,1),(25,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(9,1),(10,1),(26,1),(27,1)}
        15:{1,2,3,7}:{(8,1),(27,1)}
        16:{1,3,5,6}:{(9,1),(26,1),(28,1),(29,1),(52,1)}
        17:{1,3,4,7}:{(9,1),(27,1),(29,1),(53,1)}
        18:{2,3,5,6}:{(10,1),(26,1),(30,1),(31,1),(52,1)}
        19:{2,3,4,7}:{(10,1),(27,1),(31,1),(53,1)}
        20:{1,2,3,4}:{(32,1)}
        21:{3,4,5}:{(11,1),(35,1)}
        22:{1,2,4,6}:{(11,1),(12,1),(35,1),(38,1)}
        23:{1,2,4,5,7}:{(11,1),(13,1),(36,1),(38,1),(39,1),(75,1)}
        24:{1,2,3,5,7}:{(12,1),(15,1),(38,1),(40,1),(41,1),(66,1),(71,1),(75,1),(94,1)}
        25:{1,2,3,6}:{(13,1),(39,1)}
        26:{1,2,5,6}:{(14,1),(16,1),(18,1),(41,1)}
        27:{1,2,4,7}:{(14,1),(15,1),(17,1),(19,1),(41,1)}
        28:{1,4,5,6}:{(16,1),(42,1),(43,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(41,1),(43,1),(44,1),(71,1)}
        30:{2,4,5,6}:{(18,1),(45,1),(46,1)}
        31:{2,3,5,7}:{(18,1),(19,1),(41,1),(46,1),(47,1),(71,1)}
        32:{1,2,3,5}:{(20,1),(48,1),(49,1)}
        33:{1,3,4,5}:{(21,1),(48,1),(50,1)}
        34:{2,3,4,5}:{(21,1),(48,1),(51,1)}
        35:{3,4,6}:{(21,1),(22,1),(52,1),(53,1)}
        36:{3,4,5,7}:{(21,1),(23,1),(53,1),(54,1),(87,1)}
        37:{1,2,4,5,6}:{(22,1),(26,1),(28,1),(30,1),(52,1),(55,1),(57,1),(59,1),(62,1),(82,1),(88,1)}
        38:{1,2,4,7}:{(22,1),(24,1),(53,1)}
        39:{1,2,4,6}:{(23,1),(25,1),(54,1),(57,1)}
        40:{1,2,3,6,7}:{(24,1),(25,1),(56,1),(58,1),(86,1),(103,1)}
        41:{1,2,5,7}:{(26,1),(27,1),(29,1),(31,1),(58,1)}
        42:{3,4,5,6}:{(28,1),(52,1),(59,1),(60,1),(88,1)}
        43:{1,4,5,7}:{(28,1),(29,1),(60,1),(61,1)}
        44:{1,3,6,7}:{(29,1),(58,1),(61,1),(86,1)}
        45:{3,4,5,6}:{(30,1),(52,1),(62,1),(63,1),(88,1)}
        46:{2,4,5,7}:{(30,1),(31,1),(63,1),(64,1)}
        47:{2,3,6,7}:{(31,1),(58,1),(64,1),(86,1)}
        48:{1,2,4,5}:{(32,1),(33,1),(34,1),(65,1)}
        49:{1,2,3,6}:{(32,1),(65,1),(66,1)}
        50:{1,3,4,6}:{(33,1),(35,1),(65,1),(67,1),(68,1)}
        51:{2,3,4,6}:{(34,1),(35,1),(65,1),(69,1),(70,1)}
        52:{3,5,6}:{(35,1),(37,1),(71,1)}
        53:{3,4,7}:{(35,1),(38,1),(71,1)}
        54:{3,4,6}:{(36,1),(39,1),(73,1)}
        55:{1,2,4,5,7}:{(37,1),(38,1),(41,1),(43,1),(46,1),(71,1),(74,1),(75,1),(76,1),(79,1),(94,1),(98,1)}
        56:{1,2,4,6,7}:{(38,1),(39,1),(40,1),(72,1),(75,1)}
        57:{1,2,5,6}:{(39,1),(73,1),(75,1)}
        58:{1,2,6,7}:{(41,1),(44,1),(47,1)}
        59:{2,4,5,6}:{(42,1),(69,1),(76,1)}
        60:{3,4,5,7}:{(42,1),(43,1),(71,1),(76,1),(77,1),(98,1)}
        61:{1,4,6,7}:{(43,1),(44,1),(77,1),(78,1)}
        62:{1,4,5,6}:{(45,1),(67,1),(79,1)}
        63:{3,4,5,7}:{(45,1),(46,1),(71,1),(79,1),(80,1),(98,1)}
        64:{2,4,6,7}:{(46,1),(47,1),(80,1),(81,1)}
        65:{1,2,4,6}:{(48,1),(49,1),(50,1),(51,1),(82,1),(83,1)}
        66:{1,2,3,7}:{(49,1),(83,1)}
        67:{1,3,5,6}:{(50,1),(52,1),(62,1),(82,1),(84,1)}
        68:{1,3,4,7}:{(50,1),(53,1),(83,1),(84,1)}
        69:{2,3,5,6}:{(51,1),(52,1),(59,1),(82,1),(85,1)}
        70:{2,3,4,7}:{(51,1),(53,1),(83,1),(85,1)}
        71:{3,5,7}:{(52,1),(53,1),(55,1),(86,1)}
        72:{3,4,6,7}:{(53,1),(54,1),(56,1),(86,1),(87,1),(104,1)}
        73:{3,5,6}:{(54,1),(57,1),(87,1),(88,1)}
        74:{1,2,4,6,7}:{(55,1),(58,1),(61,1),(64,1),(86,1),(89,1),(90,1),(92,1),(103,1),(104,1)}
        75:{1,2,5,7}:{(56,1),(57,1),(87,1)}
        76:{2,4,5,7}:{(59,1),(60,1),(85,1),(90,1)}
        77:{3,4,6,7}:{(60,1),(61,1),(86,1),(90,1),(91,1),(104,1)}
        78:{1,5,6,7}:{(61,1),(91,1)}
        79:{1,4,5,7}:{(62,1),(63,1),(84,1),(92,1)}
        80:{3,4,6,7}:{(63,1),(64,1),(86,1),(92,1),(93,1),(104,1)}
        81:{2,5,6,7}:{(64,1),(93,1)}
        82:{1,2,5,6}:{(65,1),(67,1),(69,1),(94,1)}
        83:{1,2,4,7}:{(65,1),(66,1),(68,1),(70,1),(94,1)}
        84:{1,3,5,7}:{(67,1),(68,1),(71,1),(79,1),(94,1),(95,1)}
        85:{2,3,5,7}:{(69,1),(70,1),(71,1),(76,1),(94,1),(96,1)}
        86:{3,6,7}:{(71,1),(74,1)}
        87:{3,5,7}:{(72,1),(73,1),(75,1),(98,1)}
        88:{4,5,6}:{(73,1),(98,1)}
        89:{1,2,5,6,7}:{(74,1),(75,1),(78,1),(81,1),(97,1),(99,1),(101,1)}
        90:{2,4,6,7}:{(76,1),(77,1),(96,1),(99,1)}
        91:{3,5,6,7}:{(77,1),(78,1),(99,1),(100,1)}
        92:{1,4,6,7}:{(79,1),(80,1),(95,1),(101,1)}
        93:{3,5,6,7}:{(80,1),(81,1),(101,1),(102,1)}
        94:{1,2,5,7}:{(82,1),(83,1),(84,1),(85,1),(103,1)}
        95:{1,3,6,7}:{(84,1),(86,1),(92,1),(103,1)}
        96:{2,3,6,7}:{(85,1),(86,1),(90,1),(103,1)}
        97:{3,5,6,7}:{(86,1),(87,1),(89,1),(104,1)}
        98:{4,5,7}:{(87,1),(88,1),(104,1)}
        99:{2,5,6,7}:{(90,1),(91,1)}
       100:{4,5,6,7}:{(91,1),(104,1)}
       101:{1,5,6,7}:{(92,1),(93,1)}
       102:{4,5,6,7}:{(93,1),(104,1)}
       103:{1,2,6,7}:{(94,1),(95,1),(96,1)}
       104:{4,6,7}:{(97,1),(98,1)}

1812 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(57,1),(63,1)}
         1:{1,2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(49,1),(52,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(28,1),(48,1),(53,1)}
         3:{1,3,5,6}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(40,1),(43,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(44,1)}
         6:{1,2,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(47,1),(49,1)}
         7:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,2,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(34,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(35,1),(48,1)}
        11:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
        12:{1,2,3,5,7}:{(6,1),(8,1),(20,1),(21,1),(37,1),(40,1)}
        13:{1,3,4,5}:{(7,1),(19,1)}
        14:{1,3,4,7}:{(7,1),(8,1),(20,1)}
        15:{1,3,6,7}:{(8,1),(9,1)}
        16:{1,2,5,6,7}:{(9,1),(10,1),(24,1),(40,1)}
        17:{2,4,5,6,7}:{(10,1),(26,1),(58,1)}
        18:{2,3,4,6}:{(11,1),(27,1),(28,1),(47,1)}
        19:{1,2,4,5}:{(11,1),(13,1),(27,1)}
        20:{1,2,4,7}:{(11,1),(12,1),(14,1),(28,1)}
        21:{1,2,3,6,7}:{(12,1),(15,1),(30,1),(47,1)}
        22:{1,3,4,5,7}:{(13,1),(14,1),(29,1),(32,1),(33,1),(68,1)}
        23:{1,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1),(51,1)}
        24:{1,3,5,6,7}:{(15,1),(16,1),(33,1),(34,1),(35,1)}
        25:{1,2,4,5,6,7}:{(16,1),(17,1),(34,1),(35,1),(36,1),(50,1),(55,1),(56,1)}
        26:{3,4,5,6,7}:{(17,1),(35,1),(36,1),(68,1)}
        27:{2,3,5}:{(18,1),(19,1)}
        28:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(39,1),(40,1),(58,1)}
        30:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(39,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(24,1),(40,1),(41,1),(46,1),(57,1),(60,1),(80,1),(82,1),(83,1)}
        32:{1,3,4,6}:{(22,1),(39,1),(42,1),(77,1)}
        33:{1,3,5,7}:{(23,1),(40,1),(42,1),(43,1),(60,1)}
        34:{1,4,6,7}:{(24,1),(43,1),(44,1)}
        35:{3,5,6,7}:{(25,1),(44,1),(60,1)}
        36:{1,4,5,6,7}:{(26,1),(45,1),(78,1)}
        37:{2,3,5,7}:{(27,1),(28,1),(29,1),(47,1)}
        38:{2,3,4,6,7}:{(28,1),(30,1),(47,1),(48,1),(51,1),(67,1)}
        39:{1,2,4,6}:{(29,1),(32,1),(47,1),(49,1),(67,1)}
        40:{1,2,5,7}:{(30,1),(33,1),(48,1),(49,1)}
        41:{1,2,4,6,7}:{(31,1),(34,1),(50,1),(51,1),(55,1),(67,1),(86,1)}
        42:{1,3,5,6}:{(32,1),(33,1),(49,1),(52,1),(69,1)}
        43:{1,4,5,7}:{(33,1),(34,1),(52,1),(53,1)}
        44:{3,4,6,7}:{(34,1),(35,1),(53,1),(55,1)}
        45:{1,3,5,6,7}:{(35,1),(36,1),(54,1),(56,1),(70,1)}
        46:{2,3,5,6,7}:{(35,1),(55,1),(56,1),(71,1),(76,1)}
        47:{2,3,6}:{(37,1),(39,1)}
        48:{2,3,5,7}:{(38,1),(40,1),(57,1),(58,1),(60,1)}
        49:{1,2,5,6}:{(39,1),(40,1),(42,1),(57,1)}
        50:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(58,1),(59,1),(60,1),(65,1),(78,1),(82,1)}
        51:{3,4,6,7}:{(41,1),(60,1),(77,1)}
        52:{1,4,5,6}:{(42,1),(43,1),(63,1)}
        53:{3,4,5,7}:{(43,1),(44,1),(60,1),(63,1),(65,1)}
        54:{1,3,4,6,7}:{(44,1),(45,1),(64,1),(66,1)}
        55:{2,4,6,7}:{(44,1),(46,1),(65,1)}
        56:{1,2,5,6,7}:{(45,1),(46,1),(66,1),(82,1)}
        57:{2,3,5,6}:{(47,1),(48,1),(49,1),(67,1),(69,1)}
        58:{2,4,5,7}:{(48,1),(67,1),(68,1)}
        59:{1,2,4,5,6}:{(49,1),(50,1),(52,1),(67,1),(69,1),(74,1),(86,1),(89,1)}
        60:{3,5,7}:{(50,1),(51,1),(69,1)}
        61:{1,3,4,6,7}:{(51,1),(70,1),(72,1),(86,1),(98,1),(99,1)}
        62:{2,3,4,6,7}:{(51,1),(55,1),(71,1),(72,1),(76,1),(87,1),(92,1)}
        63:{3,4,5,6}:{(52,1),(53,1),(69,1),(74,1)}
        64:{1,3,4,5,7}:{(53,1),(54,1),(70,1),(73,1),(75,1),(99,1)}
        65:{2,4,5,7}:{(53,1),(55,1),(71,1),(74,1)}
        66:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(75,1),(76,1)}
        67:{2,4,6}:{(57,1),(58,1),(77,1)}
        68:{3,4,5,7}:{(58,1),(60,1),(77,1),(78,1)}
        69:{3,5,6}:{(59,1),(60,1),(77,1)}
        70:{1,3,5,7}:{(60,1),(61,1),(78,1),(80,1),(82,1)}
        71:{2,3,5,7}:{(60,1),(62,1),(65,1),(81,1),(82,1)}
        72:{1,2,4,6,7}:{(61,1),(62,1),(82,1),(83,1),(93,1),(96,1)}
        73:{1,3,4,5,6}:{(63,1),(64,1),(80,1),(84,1),(102,1)}
        74:{2,4,5,6}:{(63,1),(65,1),(81,1)}
        75:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(82,1),(84,1),(85,1),(96,1)}
        76:{2,3,6,7}:{(66,1),(85,1)}
        77:{3,4,6}:{(67,1),(68,1),(69,1),(86,1)}
        78:{1,4,5,7}:{(68,1),(70,1),(86,1)}
        79:{2,3,4,5,7}:{(68,1),(71,1),(87,1),(88,1),(92,1),(101,1)}
        80:{1,3,5,6}:{(69,1),(70,1),(86,1),(89,1),(98,1)}
        81:{2,3,5,6}:{(69,1),(71,1),(74,1),(87,1),(89,1)}
        82:{1,2,5,7}:{(70,1),(71,1),(72,1),(89,1)}
        83:{1,2,3,6,7}:{(72,1),(76,1),(90,1),(98,1)}
        84:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(89,1),(91,1),(100,1)}
        85:{2,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,4,6}:{(77,1),(78,1),(80,1)}
        87:{2,3,4,6}:{(77,1),(79,1),(81,1),(93,1)}
        88:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(93,1),(94,1),(96,1),(103,1)}
        89:{1,2,5,6}:{(80,1),(81,1),(82,1),(93,1)}
        90:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(94,1),(95,1),(96,1)}
        91:{2,3,5,6}:{(84,1),(85,1),(97,1)}
        92:{2,3,4,7}:{(85,1),(96,1),(97,1)}
        93:{1,2,4,6}:{(86,1),(87,1),(88,1),(89,1),(98,1)}
        94:{1,3,5,7}:{(88,1),(98,1),(99,1),(104,1)}
        95:{1,2,3,5,6}:{(89,1),(90,1),(91,1),(98,1),(100,1),(104,1)}
        96:{1,2,4,7}:{(90,1),(92,1),(99,1),(100,1)}
        97:{2,3,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{1,3,6}:{(93,1),(94,1)}
        99:{1,3,4,7}:{(94,1),(96,1),(102,1)}
       100:{1,2,4,6}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{2,3,4,5}:{(97,1),(103,1)}
       102:{1,3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       103:{1,2,4,5}:{(100,1),(101,1),(104,1)}
       104:{1,3,5}:{(102,1),(103,1)}

1813 :   0:{2,3,4,5,7}:{(4,1),(5,1),(7,1),(53,1),(65,1),(68,1),(102,1),(110,1),(116,1),(124,1)}
         1:{2,3,4,6,7}:{(5,1),(6,1),(7,1),(9,1),(33,1),(68,1),(73,1)}
         2:{2,3,5,6,7}:{(7,1),(8,1),(9,1),(10,1),(33,1),(64,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(107,1)}
         4:{1,2,4,5,7}:{(0,1),(11,1),(12,1),(15,1),(35,1),(46,1),(78,1),(82,1)}
         5:{2,3,4,6}:{(0,1),(12,1),(13,1),(83,1),(90,1),(144,1),(151,1)}
         6:{1,2,4,6,7}:{(1,1),(12,1),(14,1),(15,1),(46,1)}
         7:{2,3,5,7}:{(1,1),(13,1),(15,1),(16,1),(47,1),(100,1)}
         8:{1,2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(20,1),(86,1),(100,1)}
         9:{2,4,6,7}:{(2,1),(16,1),(19,1),(90,1)}
        10:{3,5,6,7}:{(3,1),(19,1),(20,1),(137,1)}
        11:{1,3,5,7}:{(4,1),(22,1),(23,1),(58,1),(116,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(23,1),(24,1),(59,1)}
        13:{2,3,5,6}:{(5,1),(7,1),(24,1),(25,1),(60,1),(102,1),(127,1)}
        14:{1,3,6,7}:{(6,1),(23,1),(29,1),(33,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(24,1),(29,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(25,1),(31,1)}
        17:{1,3,5,6,7}:{(8,1),(29,1),(32,1),(33,1),(66,1),(72,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(30,1),(32,1),(33,1),(34,1),(73,1),(74,1),(115,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(31,1),(33,1),(34,1),(120,1)}
        20:{1,5,6,7}:{(10,1),(34,1),(163,1)}
        21:{1,2,3,5,7}:{(11,1),(35,1),(36,1),(75,1),(78,1)}
        22:{1,3,4,7}:{(11,1),(35,1),(38,1),(46,1),(88,1)}
        23:{1,3,6}:{(11,1),(12,1),(144,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(15,1),(39,1),(78,1)}
        25:{2,4,5,6}:{(13,1),(16,1),(41,1),(90,1),(130,1)}
        26:{1,2,3,6,7}:{(14,1),(36,1),(42,1),(43,1),(52,1),(128,1),(144,1),(187,1),(189,1)}
        27:{2,3,4,6,7}:{(42,1),(44,1),(76,1),(88,1),(90,1),(128,1),(144,1),(148,1),(175,1)}
        28:{1,3,4,6,7}:{(14,1),(38,1),(42,1),(45,1),(46,1),(50,1),(88,1),(93,1),(144,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(39,1),(46,1),(47,1)}
        30:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(40,1),(46,1),(47,1),(48,1),(49,1),(96,1),(97,1),(100,1)}
        31:{3,4,5,7}:{(16,1),(19,1),(41,1),(47,1),(48,1)}
        32:{1,4,6,7}:{(17,1),(46,1),(49,1),(50,1),(93,1)}
        33:{3,6,7}:{(18,1),(47,1),(144,1)}
        34:{1,4,6,7}:{(19,1),(20,1),(48,1),(51,1),(149,1)}
        35:{1,2,4,7}:{(21,1),(22,1),(53,1),(55,1)}
        36:{1,2,3,6}:{(21,1),(23,1),(55,1),(101,1)}
        37:{1,3,4,5,7}:{(22,1),(54,1),(57,1),(58,1),(67,1),(108,1),(116,1),(121,1),(156,1),(190,1)}
        38:{1,3,4,6}:{(22,1),(23,1),(55,1),(58,1),(59,1),(106,1)}
        39:{1,3,5,6}:{(23,1),(24,1),(29,1),(58,1),(59,1),(60,1)}
        40:{1,2,4,5,6}:{(24,1),(25,1),(30,1),(59,1),(60,1),(61,1),(71,1),(105,1),(112,1),(113,1),(115,1),(127,1)}
        41:{3,4,5,6}:{(25,1),(31,1),(60,1),(61,1),(120,1),(156,1)}
        42:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(55,1),(62,1),(63,1),(73,1),(115,1),(173,1)}
        43:{1,2,3,5,7}:{(26,1),(29,1),(56,1),(62,1),(63,1),(70,1),(116,1),(154,1),(171,1),(172,1),(194,1)}
        44:{2,3,5,7}:{(27,1),(62,1),(64,1),(65,1),(102,1),(116,1),(162,1)}
        45:{1,3,5,7}:{(28,1),(58,1),(62,1),(66,1),(67,1),(72,1),(116,1)}
        46:{1,4,7}:{(29,1),(59,1),(68,1)}
        47:{3,5,7}:{(30,1),(33,1),(60,1),(68,1)}
        48:{1,4,5,7}:{(31,1),(34,1),(61,1),(69,1)}
        49:{1,4,5,7}:{(32,1),(71,1),(72,1)}
        50:{3,4,6,7}:{(32,1),(33,1),(68,1),(72,1),(73,1),(123,1)}
        51:{1,3,6,7}:{(33,1),(34,1),(69,1),(74,1),(169,1)}
        52:{2,3,6,7}:{(33,1),(70,1),(73,1),(74,1),(170,1)}
        53:{2,3,4,7}:{(35,1),(75,1),(76,1),(88,1),(175,1)}
        54:{1,2,4,5,7}:{(35,1),(37,1),(75,1),(77,1),(78,1),(130,1),(131,1),(175,1)}
        55:{1,2,4,6}:{(35,1),(36,1),(38,1),(76,1),(78,1)}
        56:{1,2,3,5,6}:{(36,1),(39,1),(43,1),(78,1),(79,1),(85,1),(86,1),(129,1),(133,1),(144,1),(180,1),(182,1),(183,1),(189,1)}
        57:{1,3,4,6}:{(37,1),(77,1),(81,1),(93,1),(144,1),(149,1),(176,1)}
        58:{1,3,5}:{(38,1),(78,1),(82,1),(133,1)}
        59:{1,4,6}:{(39,1),(46,1),(82,1),(83,1)}
        60:{3,5,6}:{(40,1),(47,1),(83,1),(133,1),(144,1)}
        61:{1,4,5,6}:{(41,1),(48,1),(84,1),(149,1),(177,1)}
        62:{1,2,5,7}:{(42,1),(44,1),(45,1),(78,1),(86,1),(100,1),(184,1)}
        63:{1,2,4,7}:{(43,1),(46,1),(79,1),(88,1),(96,1),(175,1),(200,1)}
        64:{2,3,5,6}:{(44,1),(86,1),(90,1),(137,1),(144,1)}
        65:{2,4,5,7}:{(44,1),(90,1),(91,1),(130,1),(175,1)}
        66:{1,3,5,6}:{(45,1),(86,1),(93,1),(99,1),(144,1)}
        67:{1,4,5,7}:{(45,1),(46,1),(82,1),(93,1),(94,1)}
        68:{3,4,7}:{(46,1),(47,1),(83,1),(96,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(51,1),(84,1),(95,1),(97,1)}
        70:{2,3,5,7}:{(47,1),(52,1),(85,1),(96,1),(97,1),(100,1),(152,1)}
        71:{1,4,5,6}:{(49,1),(93,1),(99,1)}
        72:{3,5,7}:{(49,1),(50,1),(99,1),(100,1)}
        73:{2,4,6,7}:{(50,1),(52,1),(96,1),(100,1),(151,1)}
        74:{1,2,6,7}:{(51,1),(52,1),(97,1),(189,1)}
        75:{2,3,5,7}:{(53,1),(54,1),(101,1),(102,1),(116,1)}
        76:{2,3,4,6}:{(53,1),(55,1),(101,1),(102,1),(106,1),(155,1)}
        77:{1,2,4,6}:{(54,1),(57,1),(101,1),(104,1),(155,1)}
        78:{1,2,5}:{(55,1),(58,1),(102,1)}
        79:{1,2,4,6}:{(56,1),(59,1),(63,1),(105,1),(106,1),(112,1),(155,1),(191,1)}
        80:{1,3,4,6,7}:{(57,1),(103,1),(108,1),(122,1),(168,1),(173,1),(190,1)}
        81:{1,3,5,6}:{(57,1),(58,1),(104,1),(108,1),(109,1),(158,1),(163,1)}
        82:{1,4,5}:{(58,1),(59,1),(110,1)}
        83:{3,4,6}:{(59,1),(60,1),(68,1),(110,1),(112,1)}
        84:{1,3,5,6}:{(60,1),(61,1),(69,1),(111,1),(113,1),(159,1),(169,1)}
        85:{2,3,5,6}:{(60,1),(70,1),(112,1),(113,1),(127,1),(160,1),(167,1),(170,1)}
        86:{1,2,5,6}:{(62,1),(64,1),(66,1),(115,1),(127,1),(163,1)}
        87:{1,2,4,5,7}:{(62,1),(63,1),(65,1),(67,1),(105,1),(115,1),(116,1),(121,1),(124,1),(171,1)}
        88:{3,4,7}:{(63,1),(106,1),(116,1)}
        89:{2,3,5,6,7}:{(64,1),(114,1),(119,1),(154,1),(162,1),(168,1)}
        90:{2,4,6}:{(64,1),(65,1),(120,1)}
        91:{3,4,5,7}:{(65,1),(116,1),(120,1),(121,1),(156,1),(162,1),(190,1)}
        92:{1,3,5,6,7}:{(66,1),(108,1),(114,1),(122,1),(126,1),(168,1)}
        93:{1,4,6}:{(66,1),(67,1),(123,1)}
        94:{3,4,5,7}:{(67,1),(68,1),(72,1),(110,1),(116,1),(123,1),(124,1)}
        95:{1,3,4,7}:{(68,1),(69,1),(111,1),(125,1)}
        96:{2,4,7}:{(68,1),(70,1),(112,1)}
        97:{1,2,5,7}:{(69,1),(70,1),(74,1),(113,1),(125,1)}
        98:{1,4,5,6,7}:{(71,1),(122,1),(126,1)}
        99:{3,5,6}:{(71,1),(72,1),(123,1),(127,1)}
       100:{2,5,7}:{(72,1),(73,1),(127,1)}
       101:{2,3,6}:{(75,1),(77,1),(144,1)}
       102:{2,3,5}:{(76,1),(78,1),(130,1),(133,1)}
       103:{1,2,4,6,7}:{(77,1),(80,1),(128,1),(131,1),(175,1)}
       104:{1,2,5,6}:{(77,1),(78,1),(81,1),(129,1),(131,1)}
       105:{1,2,4,5}:{(78,1),(79,1),(82,1),(130,1),(133,1),(141,1),(177,1),(182,1)}
       106:{3,4,6}:{(79,1),(88,1),(133,1),(144,1)}
       107:{2,4,5,6}:{(90,1),(136,1),(137,1)}
       108:{1,3,5,7}:{(80,1),(81,1),(131,1),(138,1),(179,1),(184,1)}
       109:{1,4,5,6}:{(81,1),(82,1),(93,1),(138,1),(139,1)}
       110:{3,4,5}:{(82,1),(83,1),(133,1),(141,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(95,1),(140,1),(142,1)}
       112:{2,4,6}:{(83,1),(85,1),(96,1),(141,1)}
       113:{1,2,5,6}:{(84,1),(85,1),(97,1),(142,1),(182,1),(189,1)}
       114:{1,2,5,6,7}:{(86,1),(89,1),(92,1),(131,1),(143,1),(153,1),(184,1)}
       115:{1,2,4,6}:{(86,1),(87,1),(90,1),(93,1),(144,1),(149,1),(151,1),(189,1)}
       116:{3,5,7}:{(87,1),(88,1),(133,1),(144,1)}
       117:{1,3,4,7}:{(88,1),(134,1),(145,1),(147,1),(200,1),(209,1)}
       118:{2,3,4,7}:{(88,1),(96,1),(135,1),(146,1),(147,1),(152,1)}
       119:{2,4,6,7}:{(89,1),(90,1),(136,1),(148,1),(175,1)}
       120:{3,4,6}:{(90,1),(91,1),(137,1),(144,1),(149,1)}
       121:{1,4,5,7}:{(91,1),(145,1),(149,1),(177,1),(184,1),(200,1)}
       122:{1,4,6,7}:{(92,1),(93,1),(138,1),(150,1)}
       123:{3,4,6}:{(93,1),(94,1),(99,1),(144,1),(151,1)}
       124:{2,4,5,7}:{(94,1),(96,1),(100,1),(141,1),(146,1),(151,1)}
       125:{1,2,4,7}:{(95,1),(96,1),(97,1),(142,1),(152,1)}
       126:{3,5,6,7}:{(98,1),(99,1),(150,1),(153,1)}
       127:{2,5,6}:{(99,1),(100,1),(151,1)}
       128:{2,3,6,7}:{(101,1),(103,1),(154,1),(168,1)}
       129:{2,3,5,6}:{(101,1),(102,1),(104,1),(154,1),(155,1),(158,1)}
       130:{2,4,5}:{(102,1),(155,1),(156,1)}
       131:{1,2,5,7}:{(103,1),(104,1),(108,1),(154,1)}
       132:{1,2,4,5,6}:{(104,1),(105,1),(107,1),(109,1),(115,1),(155,1),(157,1),(158,1),(163,1),(165,1),(191,1),(196,1)}
       133:{3,5}:{(105,1),(106,1)}
       134:{1,3,4,6}:{(106,1),(117,1),(159,1),(161,1),(169,1),(191,1),(207,1),(208,1)}
       135:{2,3,4,6}:{(106,1),(112,1),(118,1),(160,1),(161,1),(167,1),(170,1),(198,1)}
       136:{2,4,5,7}:{(107,1),(119,1),(162,1)}
       137:{3,5,6}:{(107,1),(120,1),(162,1),(163,1)}
       138:{1,4,5,7}:{(108,1),(109,1),(122,1),(164,1)}
       139:{3,4,5,6}:{(109,1),(110,1),(123,1),(158,1),(164,1),(165,1)}
       140:{1,3,4,5}:{(110,1),(111,1),(159,1),(166,1),(208,1)}
       141:{2,4,5}:{(110,1),(112,1),(160,1)}
       142:{1,2,4,6}:{(111,1),(112,1),(113,1),(125,1),(166,1),(167,1)}
       143:{1,2,4,6,7}:{(114,1),(115,1),(119,1),(122,1),(157,1),(168,1),(173,1),(174,1),(199,1)}
       144:{3,6}:{(115,1),(116,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(121,1),(159,1),(169,1),(171,1)}
       146:{2,3,5,7}:{(116,1),(118,1),(124,1),(160,1),(170,1),(171,1)}
       147:{1,2,4,7}:{(117,1),(118,1),(161,1),(171,1),(172,1)}
       148:{3,4,6,7}:{(119,1),(120,1),(162,1),(168,1),(173,1),(190,1)}
       149:{1,4,6}:{(120,1),(121,1),(163,1),(169,1)}
       150:{3,4,6,7}:{(122,1),(123,1),(126,1),(164,1),(168,1),(174,1)}
       151:{2,4,6}:{(123,1),(124,1),(127,1),(170,1)}
       152:{2,3,7}:{(125,1),(167,1)}
       153:{2,5,6,7}:{(126,1),(127,1),(174,1)}
       154:{2,3,5,7}:{(128,1),(129,1),(131,1),(175,1),(179,1)}
       155:{2,4,6}:{(129,1),(130,1),(175,1),(176,1)}
       156:{3,4,5}:{(130,1),(133,1),(176,1),(177,1)}
       157:{1,2,4,5,7}:{(131,1),(132,1),(136,1),(138,1),(143,1),(175,1),(179,1),(184,1),(185,1),(200,1),(204,1)}
       158:{3,5,6}:{(132,1),(133,1),(144,1),(176,1),(179,1)}
       159:{1,3,5}:{(133,1),(134,1),(177,1),(182,1)}
       160:{2,3,5}:{(133,1),(135,1),(141,1),(182,1)}
       161:{1,2,4,6}:{(134,1),(135,1),(147,1),(182,1),(183,1),(189,1),(205,1)}
       162:{3,5,7}:{(136,1),(137,1),(148,1),(184,1)}
       163:{1,5,6}:{(137,1),(149,1),(184,1)}
       164:{3,4,5,7}:{(138,1),(139,1),(150,1),(179,1),(185,1)}
       165:{2,4,5,6}:{(139,1),(141,1),(151,1),(181,1),(185,1)}
       166:{1,2,4,5}:{(140,1),(141,1),(142,1),(182,1),(186,1),(205,1)}
       167:{2,3,6}:{(142,1),(152,1),(186,1)}
       168:{3,6,7}:{(143,1),(144,1),(179,1)}
       169:{1,3,6}:{(144,1),(145,1),(149,1),(189,1)}
       170:{2,3,6}:{(144,1),(146,1),(151,1),(189,1)}
       171:{1,2,5,7}:{(145,1),(146,1),(147,1),(182,1),(189,1)}
       172:{1,2,3,7}:{(147,1),(152,1),(183,1),(209,1)}
       173:{1,4,6,7}:{(148,1),(149,1),(184,1),(187,1),(200,1)}
       174:{2,4,6,7}:{(150,1),(151,1),(153,1),(185,1),(188,1)}
       175:{2,4,7}:{(154,1),(155,1),(190,1)}
       176:{3,4,6}:{(155,1),(156,1),(158,1),(190,1),(191,1)}
       177:{1,4,5}:{(156,1),(159,1),(191,1)}
       178:{2,3,4,5}:{(156,1),(160,1),(192,1),(193,1),(198,1)}
       179:{3,5,7}:{(157,1),(158,1),(168,1),(190,1)}
       180:{1,3,5,6}:{(158,1),(159,1),(163,1),(169,1),(191,1),(194,1),(196,1),(207,1)}
       181:{2,3,5,6}:{(158,1),(160,1),(165,1),(170,1),(192,1),(195,1),(196,1)}
       182:{1,2,5}:{(159,1),(160,1),(161,1)}
       183:{1,2,3,6}:{(161,1),(167,1),(172,1),(197,1),(207,1)}
       184:{1,5,7}:{(162,1),(163,1),(173,1)}
       185:{2,4,5,7}:{(164,1),(165,1),(174,1),(195,1)}
       186:{2,3,5}:{(166,1),(167,1),(198,1)}
       187:{1,3,6,7}:{(168,1),(169,1),(173,1),(194,1),(199,1)}
       188:{2,3,6,7}:{(168,1),(170,1),(174,1),(195,1),(199,1)}
       189:{1,2,6}:{(169,1),(170,1),(171,1)}
       190:{3,4,7}:{(175,1),(176,1),(179,1),(200,1)}
       191:{1,4,6}:{(176,1),(177,1),(180,1),(200,1)}
       192:{2,3,4,6}:{(176,1),(178,1),(181,1),(201,1),(202,1)}
       193:{1,2,4,5}:{(177,1),(178,1),(182,1),(202,1),(203,1),(205,1)}
       194:{1,3,5,7}:{(179,1),(180,1),(184,1),(187,1),(200,1),(204,1),(209,1)}
       195:{2,3,5,7}:{(179,1),(181,1),(185,1),(188,1),(201,1),(204,1)}
       196:{1,2,5,6}:{(180,1),(181,1),(182,1),(189,1),(202,1),(204,1)}
       197:{1,2,3,5}:{(182,1),(183,1),(186,1),(203,1),(205,1)}
       198:{2,3,4}:{(186,1),(205,1)}
       199:{1,2,6,7}:{(187,1),(188,1),(189,1),(204,1)}
       200:{1,4,7}:{(190,1),(191,1),(194,1)}
       201:{2,3,4,7}:{(190,1),(192,1),(195,1),(206,1)}
       202:{1,2,4,6}:{(191,1),(192,1),(193,1),(196,1),(206,1),(207,1)}
       203:{1,3,5}:{(193,1),(207,1),(208,1)}
       204:{1,2,5,7}:{(194,1),(195,1),(196,1),(199,1),(206,1)}
       205:{1,2,4}:{(197,1),(198,1),(208,1)}
       206:{1,2,4,7}:{(200,1),(201,1),(202,1),(204,1),(209,1)}
       207:{1,3,6}:{(202,1),(203,1),(209,1)}
       208:{1,3,4}:{(203,1),(205,1)}
       209:{1,3,7}:{(206,1),(207,1)}

1814 :   0:{1,2,3,5,6,7}:{(2,1),(12,1),(22,1),(44,1),(45,1),(49,1),(50,1),(58,1),(60,1),(96,1),(100,1),(110,1),(136,1),(142,1),(165,1)}
         1:{1,2,4,5,6,7}:{(3,1),(11,1),(20,1),(21,1),(22,1),(57,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(69,1),(70,1),(84,1),(125,1),(133,1),(154,1),(172,1)}
         3:{3,5,6,7}:{(1,1),(8,1),(25,1),(83,1)}
         4:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(47,1),(48,1),(49,1),(146,1)}
         5:{3,4,6,7}:{(2,1),(12,1),(43,1),(60,1),(111,1),(142,1),(145,1),(166,1)}
         6:{2,3,4,5,7}:{(15,1),(16,1),(18,1),(48,1),(93,1),(104,1),(111,1),(140,1),(151,1)}
         7:{2,3,4,6,7}:{(15,1),(18,1),(19,1),(21,1),(60,1),(111,1)}
         8:{3,4,6,7}:{(3,1),(17,1),(20,1),(21,1),(43,1),(60,1),(111,1)}
         9:{1,3,5,6,7}:{(3,1),(20,1),(22,1),(44,1),(56,1),(58,1),(60,1)}
        10:{2,3,5,6,7}:{(3,1),(18,1),(21,1),(22,1),(45,1),(60,1),(110,1)}
        11:{1,2,4,5,6}:{(4,1),(25,1),(69,1),(70,1),(71,1)}
        12:{3,5,7}:{(4,1),(5,1),(25,1),(162,1)}
        13:{1,3,4,6,7}:{(5,1),(27,1),(29,1),(37,1),(69,1),(81,1),(84,1),(124,1),(129,1),(158,1),(161,1),(172,1)}
        14:{2,3,4,6,7}:{(5,1),(28,1),(29,1),(70,1),(85,1),(115,1),(119,1),(124,1),(129,1),(133,1),(154,1),(160,1)}
        15:{2,3,4,6}:{(6,1),(31,1),(32,1),(70,1),(124,1),(131,1)}
        16:{1,2,4,5,7}:{(6,1),(32,1),(33,1),(36,1),(73,1),(84,1),(126,1),(132,1)}
        17:{3,4,5,7}:{(8,1),(30,1),(34,1),(35,1),(83,1)}
        18:{2,3,5,7}:{(7,1),(31,1),(35,1),(36,1),(83,1)}
        19:{1,2,4,6,7}:{(7,1),(32,1),(36,1),(37,1),(84,1)}
        20:{1,4,6,7}:{(8,1),(9,1),(34,1),(69,1),(84,1)}
        21:{2,4,6,7}:{(8,1),(10,1),(35,1),(70,1),(133,1)}
        22:{1,2,5,6,7}:{(9,1),(10,1),(36,1),(39,1),(71,1),(82,1)}
        23:{1,3,4,5,7}:{(40,1),(41,1),(47,1),(55,1),(87,1),(104,1),(109,1),(166,1),(168,1)}
        24:{1,2,4,5,6,7}:{(11,1),(42,1),(94,1),(95,1),(96,1),(135,1)}
        25:{3,5,6}:{(11,1),(12,1),(43,1)}
        26:{3,4,5,7}:{(12,1),(43,1),(47,1),(48,1),(104,1),(111,1),(151,1),(166,1),(168,1)}
        27:{1,3,5,7}:{(12,1),(13,1),(44,1),(47,1),(49,1),(104,1),(109,1),(171,1)}
        28:{2,3,5,7}:{(12,1),(14,1),(45,1),(48,1),(49,1),(104,1),(140,1),(170,1)}
        29:{1,2,4,6,7}:{(13,1),(14,1),(49,1),(50,1),(99,1),(101,1),(105,1),(169,1)}
        30:{3,4,5,6}:{(17,1),(43,1),(51,1),(52,1),(107,1),(168,1)}
        31:{2,3,5,6}:{(15,1),(18,1),(52,1),(53,1),(107,1),(140,1)}
        32:{1,2,4,6}:{(15,1),(16,1),(53,1),(54,1),(108,1)}
        33:{1,3,5,7}:{(16,1),(54,1),(55,1),(104,1),(109,1)}
        34:{1,4,5,7}:{(17,1),(20,1),(51,1),(56,1)}
        35:{2,4,5,7}:{(17,1),(18,1),(21,1),(52,1)}
        36:{1,2,5,7}:{(18,1),(19,1),(53,1),(58,1)}
        37:{1,3,6,7}:{(19,1),(54,1),(58,1),(60,1)}
        38:{1,3,4,6,7}:{(20,1),(56,1),(59,1),(60,1),(97,1),(111,1)}
        39:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(57,1),(60,1),(99,1)}
        40:{1,3,4,6}:{(23,1),(63,1),(64,1),(69,1),(124,1),(156,1)}
        41:{1,2,4,5,7}:{(23,1),(64,1),(65,1),(73,1),(114,1),(126,1),(154,1),(157,1)}
        42:{3,5,6,7}:{(24,1),(25,1),(66,1),(153,1)}
        43:{3,4,6}:{(25,1),(26,1),(69,1),(70,1),(124,1)}
        44:{1,3,5,6}:{(25,1),(27,1),(69,1),(71,1),(124,1)}
        45:{2,3,5,6}:{(25,1),(28,1),(70,1),(71,1),(124,1)}
        46:{1,2,3,5,7}:{(33,1),(65,1),(72,1),(73,1),(126,1)}
        47:{1,4,5,7}:{(26,1),(27,1),(69,1),(84,1),(132,1),(172,1),(173,1)}
        48:{2,4,5,7}:{(26,1),(28,1),(70,1),(133,1),(154,1),(157,1),(164,1)}
        49:{1,2,5,7}:{(27,1),(28,1),(29,1),(71,1),(126,1),(174,1)}
        50:{1,2,3,6,7}:{(29,1),(37,1),(72,1),(77,1),(85,1),(115,1),(124,1),(158,1),(159,1)}
        51:{1,4,5,6}:{(30,1),(34,1),(69,1),(78,1),(173,1)}
        52:{2,4,5,6}:{(30,1),(31,1),(35,1),(70,1),(157,1)}
        53:{1,2,5,6}:{(31,1),(32,1),(36,1),(80,1),(126,1)}
        54:{1,3,6}:{(32,1),(33,1),(124,1)}
        55:{1,3,4,7}:{(33,1),(73,1),(81,1),(84,1),(129,1)}
        56:{1,3,5,7}:{(34,1),(38,1),(78,1),(82,1),(83,1)}
        57:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(39,1),(79,1),(82,1),(83,1),(84,1),(133,1)}
        58:{1,3,5,7}:{(36,1),(37,1),(80,1),(83,1),(84,1)}
        59:{1,2,4,6,7}:{(38,1),(82,1),(85,1),(122,1),(133,1)}
        60:{3,6,7}:{(39,1),(83,1),(124,1)}
        61:{1,3,4,6,7}:{(40,1),(87,1),(88,1),(94,1),(142,1),(166,1)}
        62:{3,4,5,6}:{(43,1),(86,1),(89,1),(90,1),(138,1),(151,1)}
        63:{1,3,5,6}:{(40,1),(87,1),(89,1),(91,1),(109,1),(138,1)}
        64:{1,2,4,6}:{(40,1),(41,1),(91,1),(92,1),(139,1)}
        65:{2,3,5,7}:{(41,1),(92,1),(93,1),(104,1),(140,1)}
        66:{3,4,6,7}:{(42,1),(43,1),(86,1),(94,1),(95,1),(142,1),(166,1)}
        67:{1,3,5,6,7}:{(42,1),(44,1),(87,1),(94,1),(96,1),(142,1),(165,1)}
        68:{2,3,5,6,7}:{(42,1),(45,1),(95,1),(96,1),(134,1),(136,1),(142,1)}
        69:{1,4,6}:{(43,1),(44,1),(47,1)}
        70:{2,4,6}:{(43,1),(45,1),(48,1)}
        71:{1,2,5,6}:{(44,1),(45,1),(49,1),(99,1)}
        72:{1,2,3,6}:{(46,1),(54,1),(92,1),(101,1)}
        73:{1,2,4,7}:{(46,1),(55,1),(93,1),(101,1)}
        74:{1,3,4,5,7}:{(47,1),(56,1),(97,1),(102,1),(104,1),(111,1),(149,1),(151,1),(171,1)}
        75:{2,3,4,5,7}:{(48,1),(98,1),(103,1),(104,1),(134,1),(148,1),(166,1),(168,1),(170,1)}
        76:{1,2,4,5,7}:{(47,1),(48,1),(49,1),(99,1),(104,1),(105,1),(146,1)}
        77:{1,2,3,5,7}:{(49,1),(50,1),(58,1),(100,1),(104,1),(105,1),(110,1),(136,1),(165,1)}
        78:{1,3,5,6}:{(51,1),(56,1),(97,1),(106,1),(107,1),(171,1)}
        79:{1,2,4,5,6}:{(51,1),(52,1),(53,1),(57,1),(99,1),(106,1),(107,1),(108,1),(146,1),(150,1)}
        80:{1,3,5,6}:{(53,1),(54,1),(58,1),(107,1),(108,1),(109,1)}
        81:{1,3,4,6}:{(54,1),(55,1),(101,1),(108,1),(109,1),(145,1)}
        82:{1,2,5,7}:{(56,1),(59,1),(106,1),(110,1)}
        83:{3,5,7}:{(57,1),(60,1),(107,1),(111,1)}
        84:{1,4,7}:{(58,1),(108,1),(111,1)}
        85:{2,3,6,7}:{(59,1),(60,1),(110,1),(143,1)}
        86:{3,4,5,7}:{(62,1),(66,1),(112,1),(113,1),(153,1)}
        87:{1,3,5,7}:{(61,1),(63,1),(112,1),(114,1),(153,1)}
        88:{1,2,4,6,7}:{(61,1),(64,1),(114,1),(115,1),(154,1)}
        89:{1,4,5,6}:{(62,1),(63,1),(69,1),(112,1),(132,1)}
        90:{2,4,5,6}:{(62,1),(70,1),(113,1),(116,1),(164,1)}
        91:{1,2,5,6}:{(63,1),(64,1),(114,1),(118,1),(126,1)}
        92:{2,3,6}:{(64,1),(65,1),(124,1)}
        93:{2,3,4,7}:{(65,1),(73,1),(119,1),(129,1),(154,1)}
        94:{1,4,6,7}:{(66,1),(67,1),(69,1),(112,1),(172,1)}
        95:{2,4,6,7}:{(66,1),(68,1),(70,1),(113,1),(154,1)}
        96:{1,2,5,6,7}:{(67,1),(68,1),(71,1),(114,1),(121,1),(152,1)}
        97:{1,3,4,6}:{(69,1),(74,1),(78,1),(122,1),(124,1),(131,1)}
        98:{2,3,4,6}:{(70,1),(75,1),(116,1),(123,1),(124,1),(156,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(71,1),(76,1),(124,1)}
       100:{1,2,3,5,6}:{(71,1),(72,1),(77,1),(80,1),(118,1),(124,1),(125,1),(126,1),(130,1),(155,1),(159,1),(162,1),(174,1)}
       101:{1,2,4,6}:{(72,1),(73,1),(81,1),(119,1),(126,1)}
       102:{1,2,4,5,7}:{(74,1),(82,1),(122,1),(127,1),(133,1),(163,1),(164,1),(174,1)}
       103:{1,2,4,5,7}:{(75,1),(123,1),(128,1),(152,1),(163,1),(172,1),(173,1),(174,1)}
       104:{3,5,7}:{(76,1),(124,1),(129,1),(162,1)}
       105:{1,2,4,7}:{(77,1),(84,1),(125,1),(129,1),(133,1),(154,1),(172,1)}
       106:{1,2,5,6}:{(78,1),(82,1),(122,1),(130,1),(174,1)}
       107:{3,5,6}:{(79,1),(83,1),(124,1),(131,1),(162,1)}
       108:{1,4,6}:{(80,1),(84,1),(131,1),(132,1)}
       109:{1,3,5}:{(81,1),(126,1),(132,1),(162,1)}
       110:{2,3,5,7}:{(82,1),(83,1),(85,1),(130,1),(133,1)}
       111:{3,4,7}:{(83,1),(84,1),(131,1),(133,1)}
       112:{1,4,5,7}:{(86,1),(87,1),(89,1),(94,1)}
       113:{2,4,5,7}:{(86,1),(90,1),(95,1),(134,1)}
       114:{1,2,5,7}:{(87,1),(88,1),(91,1),(136,1)}
       115:{2,3,6,7}:{(88,1),(92,1),(136,1),(142,1)}
       116:{2,3,5,6}:{(90,1),(98,1),(134,1),(137,1),(138,1),(170,1)}
       117:{1,2,4,5,6}:{(89,1),(90,1),(91,1),(99,1),(135,1),(137,1),(138,1),(139,1),(146,1),(167,1)}
       118:{2,3,5,6}:{(91,1),(92,1),(136,1),(138,1),(139,1),(140,1)}
       119:{2,3,4,6}:{(92,1),(93,1),(101,1),(139,1),(140,1),(145,1)}
       120:{2,3,4,6,7}:{(95,1),(98,1),(134,1),(141,1),(142,1),(166,1)}
       121:{1,2,4,6,7}:{(94,1),(95,1),(96,1),(99,1),(135,1),(142,1)}
       122:{1,2,4,6}:{(97,1),(102,1),(106,1),(143,1),(150,1)}
       123:{1,2,4,6}:{(98,1),(103,1),(137,1),(144,1),(167,1)}
       124:{3,6}:{(99,1),(104,1)}
       125:{1,2,4,6}:{(100,1),(105,1),(108,1),(139,1),(145,1),(146,1),(150,1),(167,1)}
       126:{1,2,5}:{(101,1),(109,1),(140,1)}
       127:{2,3,5,7}:{(102,1),(104,1),(143,1),(148,1),(170,1)}
       128:{1,3,5,7}:{(103,1),(104,1),(144,1),(149,1),(171,1)}
       129:{3,4,7}:{(104,1),(105,1),(145,1)}
       130:{2,3,5,6}:{(106,1),(107,1),(110,1),(143,1),(150,1),(170,1)}
       131:{3,4,6}:{(107,1),(108,1),(111,1),(150,1),(151,1)}
       132:{1,4,5}:{(108,1),(109,1),(151,1)}
       133:{2,4,7}:{(110,1),(111,1),(150,1)}
       134:{2,3,5,7}:{(113,1),(116,1),(120,1),(152,1),(153,1)}
       135:{1,2,4,5,7}:{(112,1),(113,1),(114,1),(117,1),(121,1),(152,1),(153,1),(154,1),(172,1)}
       136:{2,3,5,7}:{(114,1),(115,1),(118,1),(153,1),(154,1)}
       137:{1,2,5,6}:{(116,1),(123,1),(152,1),(155,1),(174,1)}
       138:{3,5,6}:{(117,1),(124,1),(153,1),(156,1),(162,1)}
       139:{2,4,6}:{(118,1),(154,1),(156,1),(157,1)}
       140:{2,3,5}:{(119,1),(126,1),(157,1),(162,1)}
       141:{1,2,4,6,7}:{(120,1),(123,1),(152,1),(158,1),(172,1)}
       142:{3,6,7}:{(121,1),(124,1),(153,1)}
       143:{2,3,6}:{(122,1),(124,1),(127,1)}
       144:{1,3,6}:{(123,1),(124,1),(128,1)}
       145:{3,4,6}:{(124,1),(125,1),(129,1),(162,1)}
       146:{1,2,4,5}:{(125,1),(126,1),(132,1),(157,1),(162,1),(164,1),(173,1),(174,1)}
       147:{1,2,3,5,7}:{(127,1),(128,1),(159,1),(163,1),(174,1)}
       148:{2,3,4,7}:{(127,1),(129,1),(133,1),(160,1),(163,1)}
       149:{1,3,4,7}:{(128,1),(129,1),(161,1),(163,1),(172,1)}
       150:{2,4,6}:{(130,1),(131,1),(133,1),(164,1)}
       151:{3,4,5}:{(131,1),(132,1),(162,1),(164,1)}
       152:{1,2,5,7}:{(134,1),(137,1),(141,1),(165,1)}
       153:{3,5,7}:{(135,1),(138,1),(142,1),(166,1)}
       154:{2,4,7}:{(136,1),(139,1),(166,1)}
       155:{1,3,5,6}:{(137,1),(138,1),(144,1),(165,1),(167,1),(171,1)}
       156:{3,4,6}:{(138,1),(139,1),(166,1),(167,1),(168,1)}
       157:{2,4,5}:{(139,1),(140,1),(168,1)}
       158:{1,3,6,7}:{(141,1),(142,1),(144,1),(165,1)}
       159:{1,2,3,6}:{(143,1),(144,1),(147,1),(169,1)}
       160:{2,3,4,6}:{(143,1),(145,1),(148,1),(150,1),(169,1),(170,1)}
       161:{1,3,4,6}:{(144,1),(145,1),(149,1),(167,1),(169,1),(171,1)}
       162:{3,5}:{(145,1),(146,1)}
       163:{1,2,4,7}:{(147,1),(148,1),(149,1),(169,1)}
       164:{2,4,5}:{(150,1),(151,1),(170,1)}
       165:{1,3,5,7}:{(152,1),(153,1),(155,1),(158,1),(172,1)}
       166:{3,4,7}:{(153,1),(154,1),(156,1),(172,1)}
       167:{1,4,6}:{(155,1),(156,1),(172,1),(173,1)}
       168:{3,4,5}:{(156,1),(157,1),(162,1),(173,1)}
       169:{1,2,4,6}:{(159,1),(160,1),(161,1),(163,1),(174,1)}
       170:{2,3,5}:{(160,1),(162,1),(164,1),(174,1)}
       171:{1,3,5}:{(161,1),(162,1),(173,1),(174,1)}
       172:{1,4,7}:{(165,1),(166,1),(167,1)}
       173:{1,4,5}:{(167,1),(168,1),(171,1)}
       174:{1,2,5}:{(169,1),(170,1),(171,1)}

1815 :   0:{1,2,4,5,6,7}:{(1,1),(8,1),(9,1),(10,1),(20,1),(30,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(37,1),(48,1)}
         2:{1,2,3,5,6,7}:{(6,1),(10,1),(21,1),(31,1),(58,1),(59,1),(60,1),(61,1),(63,1),(65,1),(109,1),(110,1),(152,1),(155,1),(168,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(31,1),(54,1),(67,1)}
         4:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(26,1),(31,1),(58,1),(63,1)}
         5:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(24,1),(31,1),(59,1),(65,1)}
         6:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(78,1),(79,1),(86,1),(88,1),(135,1),(166,1),(173,1)}
         7:{3,4,5,7}:{(3,1),(15,1),(16,1),(17,1),(48,1)}
         8:{1,4,6,7}:{(3,1),(4,1),(16,1),(78,1),(86,1)}
         9:{2,4,6,7}:{(3,1),(5,1),(17,1),(79,1),(88,1)}
        10:{1,2,5,6,7}:{(4,1),(5,1),(18,1),(42,1),(45,1),(83,1)}
        11:{1,2,4,5,7}:{(6,1),(20,1),(21,1),(55,1),(56,1),(60,1),(154,1)}
        12:{3,4,6,7}:{(6,1),(21,1),(31,1),(54,1),(67,1),(152,1),(153,1),(171,1)}
        13:{2,3,4,6,7}:{(9,1),(24,1),(25,1),(31,1),(32,1),(67,1)}
        14:{1,3,4,6,7}:{(8,1),(26,1),(27,1),(31,1),(52,1),(67,1)}
        15:{3,4,5,6}:{(7,1),(28,1),(29,1),(54,1),(66,1),(172,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(26,1),(28,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(24,1),(29,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(30,1),(31,1),(107,1)}
        19:{2,3,4,5,7}:{(24,1),(32,1),(33,1),(56,1),(67,1),(108,1),(114,1),(119,1),(157,1)}
        20:{1,2,4,5,6}:{(11,1),(37,1),(78,1),(79,1),(83,1)}
        21:{3,5,7}:{(11,1),(12,1),(37,1),(165,1)}
        22:{1,3,4,6,7}:{(12,1),(38,1),(40,1),(43,1),(78,1),(86,1),(96,1),(133,1),(134,1),(160,1),(161,1),(173,1)}
        23:{2,3,4,6,7}:{(12,1),(39,1),(40,1),(46,1),(79,1),(88,1),(128,1),(133,1),(134,1),(140,1),(141,1),(166,1)}
        24:{2,3,5,7}:{(13,1),(17,1),(41,1),(42,1),(48,1)}
        25:{1,2,4,6,7}:{(13,1),(42,1),(43,1),(50,1),(86,1)}
        26:{1,3,5,7}:{(14,1),(16,1),(44,1),(45,1),(48,1)}
        27:{1,2,4,6,7}:{(14,1),(45,1),(46,1),(74,1),(88,1)}
        28:{1,4,5,6}:{(15,1),(16,1),(44,1),(78,1),(174,1)}
        29:{2,4,5,6}:{(15,1),(17,1),(41,1),(79,1),(167,1)}
        30:{1,2,4,5,7}:{(16,1),(17,1),(18,1),(42,1),(45,1),(47,1),(48,1),(86,1),(88,1)}
        31:{3,6,7}:{(18,1),(48,1),(133,1)}
        32:{2,3,4,6}:{(19,1),(41,1),(50,1),(79,1),(89,1),(133,1)}
        33:{1,2,4,5,7}:{(19,1),(42,1),(50,1),(51,1),(86,1),(95,1),(136,1),(142,1)}
        34:{1,3,4,5,7}:{(26,1),(52,1),(53,1),(55,1),(67,1),(108,1),(114,1),(147,1),(170,1)}
        35:{3,4,5,7}:{(21,1),(54,1),(55,1),(56,1),(67,1),(108,1),(114,1),(171,1),(172,1)}
        36:{1,2,4,5,6,7}:{(20,1),(57,1),(105,1),(106,1),(109,1),(150,1)}
        37:{3,5,6}:{(20,1),(21,1),(54,1)}
        38:{1,3,5,7}:{(21,1),(22,1),(55,1),(58,1),(60,1),(108,1),(121,1),(170,1)}
        39:{2,3,5,7}:{(21,1),(23,1),(56,1),(59,1),(60,1),(108,1),(149,1),(157,1)}
        40:{1,2,4,6,7}:{(22,1),(23,1),(60,1),(61,1),(107,1),(111,1),(120,1),(148,1)}
        41:{2,3,5,6}:{(24,1),(29,1),(32,1),(62,1),(66,1),(157,1)}
        42:{1,2,5,7}:{(24,1),(25,1),(62,1),(63,1)}
        43:{1,3,6,7}:{(25,1),(31,1),(63,1),(71,1)}
        44:{1,3,5,6}:{(26,1),(28,1),(52,1),(64,1),(66,1),(170,1)}
        45:{1,2,5,7}:{(26,1),(27,1),(64,1),(65,1)}
        46:{2,3,6,7}:{(27,1),(31,1),(65,1),(100,1)}
        47:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(62,1),(64,1),(66,1),(107,1),(112,1),(113,1),(154,1)}
        48:{3,5,7}:{(30,1),(31,1),(66,1),(67,1)}
        49:{1,3,4,5,7}:{(55,1),(68,1),(69,1),(72,1),(108,1),(115,1),(121,1),(171,1),(172,1)}
        50:{1,2,4,6}:{(32,1),(33,1),(62,1),(71,1),(112,1)}
        51:{1,3,5,7}:{(33,1),(71,1),(72,1),(108,1),(121,1)}
        52:{1,3,4,6}:{(34,1),(44,1),(74,1),(78,1),(89,1),(133,1)}
        53:{1,2,4,5,7}:{(34,1),(45,1),(74,1),(75,1),(88,1),(127,1),(137,1),(162,1)}
        54:{3,4,6}:{(35,1),(37,1),(78,1),(79,1),(133,1)}
        55:{1,4,5,7}:{(35,1),(38,1),(78,1),(86,1),(136,1),(173,1),(174,1)}
        56:{2,4,5,7}:{(35,1),(39,1),(79,1),(88,1),(137,1),(166,1),(167,1)}
        57:{3,5,6,7}:{(36,1),(37,1),(77,1),(163,1)}
        58:{1,3,5,6}:{(37,1),(38,1),(78,1),(83,1),(133,1)}
        59:{2,3,5,6}:{(37,1),(39,1),(79,1),(83,1),(133,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(40,1),(83,1),(142,1),(162,1)}
        61:{1,2,3,6,7}:{(40,1),(43,1),(46,1),(84,1),(94,1),(126,1),(133,1),(140,1),(160,1)}
        62:{1,2,5,6}:{(41,1),(42,1),(50,1),(85,1),(142,1)}
        63:{1,3,5,7}:{(42,1),(43,1),(48,1),(85,1),(86,1)}
        64:{1,2,5,6}:{(44,1),(45,1),(74,1),(87,1),(162,1)}
        65:{2,3,5,7}:{(45,1),(46,1),(48,1),(87,1),(88,1)}
        66:{3,5,6}:{(47,1),(48,1),(89,1),(133,1),(165,1)}
        67:{3,4,7}:{(48,1),(86,1),(88,1),(89,1)}
        68:{1,3,4,6}:{(49,1),(78,1),(90,1),(92,1),(133,1),(164,1)}
        69:{1,2,4,5,7}:{(49,1),(92,1),(93,1),(95,1),(138,1),(142,1),(166,1),(167,1)}
        70:{1,2,3,5,7}:{(51,1),(93,1),(94,1),(95,1),(142,1)}
        71:{1,3,6}:{(50,1),(51,1),(133,1)}
        72:{1,3,4,7}:{(51,1),(86,1),(95,1),(96,1),(134,1)}
        73:{2,3,4,5,7}:{(56,1),(97,1),(98,1),(101,1),(108,1),(143,1),(149,1),(171,1),(172,1)}
        74:{1,2,4,6}:{(52,1),(53,1),(64,1),(100,1),(113,1)}
        75:{2,3,5,7}:{(53,1),(100,1),(101,1),(108,1),(149,1)}
        76:{3,4,5,6}:{(54,1),(102,1),(103,1),(104,1),(114,1),(151,1)}
        77:{3,4,6,7}:{(54,1),(57,1),(102,1),(105,1),(106,1),(152,1),(171,1)}
        78:{1,4,6}:{(54,1),(55,1),(58,1)}
        79:{2,4,6}:{(54,1),(56,1),(59,1)}
        80:{1,2,4,5,7}:{(55,1),(56,1),(60,1),(107,1),(108,1),(111,1),(154,1)}
        81:{1,3,5,6,7}:{(57,1),(58,1),(105,1),(109,1),(115,1),(152,1),(168,1)}
        82:{2,3,5,6,7}:{(57,1),(59,1),(106,1),(109,1),(143,1),(152,1),(155,1)}
        83:{1,2,5,6}:{(58,1),(59,1),(60,1),(107,1)}
        84:{1,2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(108,1),(110,1),(111,1),(155,1),(168,1)}
        85:{1,3,5,6}:{(62,1),(63,1),(66,1),(71,1),(112,1),(121,1)}
        86:{1,4,7}:{(63,1),(67,1),(112,1)}
        87:{2,3,5,6}:{(64,1),(65,1),(66,1),(100,1),(113,1),(149,1)}
        88:{2,4,7}:{(65,1),(67,1),(113,1)}
        89:{3,4,6}:{(66,1),(67,1),(112,1),(113,1),(114,1)}
        90:{1,3,5,6}:{(68,1),(103,1),(115,1),(116,1),(121,1),(151,1)}
        91:{1,3,4,6,7}:{(68,1),(105,1),(115,1),(117,1),(152,1),(171,1)}
        92:{1,2,4,6}:{(68,1),(69,1),(116,1),(118,1),(156,1)}
        93:{2,3,5,7}:{(69,1),(108,1),(118,1),(119,1),(157,1)}
        94:{1,2,3,6}:{(70,1),(71,1),(118,1),(120,1)}
        95:{1,2,4,7}:{(70,1),(72,1),(119,1),(120,1)}
        96:{1,3,4,6}:{(71,1),(72,1),(112,1),(120,1),(121,1),(153,1)}
        97:{2,3,4,6}:{(73,1),(79,1),(122,1),(124,1),(133,1),(164,1)}
        98:{1,2,4,5,7}:{(73,1),(124,1),(125,1),(127,1),(158,1),(162,1),(173,1),(174,1)}
        99:{1,2,3,5,7}:{(75,1),(125,1),(126,1),(127,1),(162,1)}
       100:{2,3,6}:{(74,1),(75,1),(133,1)}
       101:{2,3,4,7}:{(75,1),(88,1),(127,1),(128,1),(134,1)}
       102:{3,4,5,7}:{(76,1),(77,1),(129,1),(130,1),(163,1)}
       103:{1,4,5,6}:{(76,1),(78,1),(90,1),(129,1),(136,1)}
       104:{2,4,5,6}:{(76,1),(79,1),(122,1),(130,1),(137,1)}
       105:{1,4,6,7}:{(77,1),(78,1),(81,1),(129,1),(173,1)}
       106:{2,4,6,7}:{(77,1),(79,1),(82,1),(130,1),(166,1)}
       107:{1,2,4,6}:{(78,1),(79,1),(80,1),(83,1),(133,1)}
       108:{3,5,7}:{(80,1),(133,1),(134,1),(165,1)}
       109:{1,2,5,6,7}:{(81,1),(82,1),(83,1),(132,1),(138,1),(158,1)}
       110:{1,2,3,5,6}:{(83,1),(84,1),(85,1),(87,1),(94,1),(126,1),(133,1),(135,1),(139,1),(142,1),(159,1),(162,1),(165,1)}
       111:{1,2,4,7}:{(84,1),(86,1),(88,1),(134,1),(135,1),(166,1),(173,1)}
       112:{1,4,6}:{(85,1),(86,1),(89,1),(136,1)}
       113:{2,4,6}:{(87,1),(88,1),(89,1),(137,1)}
       114:{3,4,5}:{(89,1),(136,1),(137,1),(165,1)}
       115:{1,3,5,7}:{(90,1),(91,1),(129,1),(138,1),(163,1)}
       116:{1,2,5,6}:{(90,1),(92,1),(138,1),(139,1),(142,1)}
       117:{1,2,4,6,7}:{(91,1),(92,1),(138,1),(140,1),(166,1)}
       118:{2,3,6}:{(92,1),(93,1),(133,1)}
       119:{2,3,4,7}:{(93,1),(95,1),(134,1),(141,1),(166,1)}
       120:{1,2,4,6}:{(94,1),(95,1),(96,1),(141,1),(142,1)}
       121:{1,3,5}:{(96,1),(136,1),(142,1),(165,1)}
       122:{2,3,5,6}:{(97,1),(104,1),(143,1),(144,1),(149,1),(151,1)}
       123:{2,3,4,6,7}:{(97,1),(106,1),(143,1),(145,1),(152,1),(171,1)}
       124:{1,2,4,6}:{(97,1),(98,1),(144,1),(146,1),(169,1)}
       125:{1,3,5,7}:{(98,1),(108,1),(146,1),(147,1),(170,1)}
       126:{1,2,3,6}:{(99,1),(100,1),(146,1),(148,1)}
       127:{1,2,4,7}:{(99,1),(101,1),(147,1),(148,1)}
       128:{2,3,4,6}:{(100,1),(101,1),(113,1),(148,1),(149,1),(153,1)}
       129:{1,4,5,7}:{(102,1),(103,1),(105,1),(115,1)}
       130:{2,4,5,7}:{(102,1),(104,1),(106,1),(143,1)}
       131:{1,2,4,5,6}:{(103,1),(104,1),(107,1),(116,1),(144,1),(150,1),(151,1),(154,1),(156,1),(169,1)}
       132:{1,2,4,6,7}:{(105,1),(106,1),(107,1),(109,1),(150,1),(152,1)}
       133:{3,6}:{(107,1),(108,1)}
       134:{3,4,7}:{(108,1),(111,1),(153,1)}
       135:{1,2,4,6}:{(110,1),(111,1),(112,1),(113,1),(153,1),(154,1),(156,1),(169,1)}
       136:{1,4,5}:{(112,1),(114,1),(121,1)}
       137:{2,4,5}:{(113,1),(114,1),(149,1)}
       138:{1,2,5,7}:{(115,1),(116,1),(117,1),(155,1)}
       139:{2,3,5,6}:{(116,1),(118,1),(151,1),(155,1),(156,1),(157,1)}
       140:{2,3,6,7}:{(117,1),(118,1),(152,1),(155,1)}
       141:{2,3,4,6}:{(118,1),(119,1),(120,1),(153,1),(156,1),(157,1)}
       142:{1,2,5}:{(120,1),(121,1),(157,1)}
       143:{2,3,5,7}:{(122,1),(123,1),(130,1),(158,1),(163,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(158,1),(159,1),(162,1)}
       145:{1,2,4,6,7}:{(123,1),(124,1),(158,1),(160,1),(173,1)}
       146:{1,3,6}:{(124,1),(125,1),(133,1)}
       147:{1,3,4,7}:{(125,1),(127,1),(134,1),(161,1),(173,1)}
       148:{1,2,4,6}:{(126,1),(127,1),(128,1),(161,1),(162,1)}
       149:{2,3,5}:{(128,1),(137,1),(162,1),(165,1)}
       150:{1,2,4,5,7}:{(129,1),(130,1),(131,1),(132,1),(138,1),(158,1),(163,1),(166,1),(173,1)}
       151:{3,5,6}:{(131,1),(133,1),(163,1),(164,1),(165,1)}
       152:{3,6,7}:{(132,1),(133,1),(163,1)}
       153:{3,4,6}:{(133,1),(134,1),(135,1),(165,1)}
       154:{1,2,4,5}:{(135,1),(136,1),(137,1),(142,1),(162,1),(165,1),(167,1),(174,1)}
       155:{2,3,5,7}:{(138,1),(139,1),(140,1),(163,1),(166,1)}
       156:{2,4,6}:{(139,1),(164,1),(166,1),(167,1)}
       157:{2,3,5}:{(141,1),(142,1),(165,1),(167,1)}
       158:{1,2,5,7}:{(143,1),(144,1),(145,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(146,1),(151,1),(168,1),(169,1),(170,1)}
       160:{1,3,6,7}:{(145,1),(146,1),(152,1),(168,1)}
       161:{1,3,4,6}:{(146,1),(147,1),(148,1),(153,1),(169,1),(170,1)}
       162:{1,2,5}:{(148,1),(149,1),(170,1)}
       163:{3,5,7}:{(150,1),(151,1),(152,1),(171,1)}
       164:{3,4,6}:{(151,1),(156,1),(169,1),(171,1),(172,1)}
       165:{3,5}:{(153,1),(154,1)}
       166:{2,4,7}:{(155,1),(156,1),(171,1)}
       167:{2,4,5}:{(156,1),(157,1),(172,1)}
       168:{1,3,5,7}:{(158,1),(159,1),(160,1),(163,1),(173,1)}
       169:{1,4,6}:{(159,1),(164,1),(173,1),(174,1)}
       170:{1,3,5}:{(161,1),(162,1),(165,1),(174,1)}
       171:{3,4,7}:{(163,1),(164,1),(166,1),(173,1)}
       172:{3,4,5}:{(164,1),(165,1),(167,1),(174,1)}
       173:{1,4,7}:{(168,1),(169,1),(171,1)}
       174:{1,4,5}:{(169,1),(170,1),(172,1)}

1816 :   0:{2,3,4,5,7}:{(2,1),(3,1),(23,1),(36,1),(91,1),(138,1),(139,1),(149,1),(181,1),(186,1)}
         1:{1,3,4,5,7}:{(4,1),(5,1),(27,1),(32,1),(80,1),(140,1),(147,1),(148,1),(181,1),(191,1)}
         2:{2,3,4,6}:{(0,1),(8,1),(10,1),(108,1),(174,1),(197,1),(200,1)}
         3:{1,2,4,5,7}:{(0,1),(10,1),(11,1),(40,1),(48,1),(101,1),(109,1),(110,1)}
         4:{1,3,4,6}:{(1,1),(14,1),(16,1),(118,1),(167,1),(197,1),(203,1)}
         5:{1,2,4,5,7}:{(1,1),(16,1),(17,1),(40,1),(59,1),(101,1),(119,1),(120,1)}
         6:{2,4,5,6,7}:{(19,1),(71,1),(190,1)}
         7:{3,4,5,6}:{(20,1),(21,1),(22,1),(76,1),(148,1),(192,1)}
         8:{2,3,5,6}:{(2,1),(22,1),(23,1),(24,1),(76,1),(91,1),(207,1)}
         9:{2,3,4,6,7}:{(2,1),(23,1),(25,1),(71,1),(134,1),(138,1),(183,1)}
        10:{1,2,4,6}:{(2,1),(3,1),(24,1),(26,1),(78,1)}
        11:{1,3,5,7}:{(3,1),(26,1),(27,1),(80,1),(181,1)}
        12:{1,4,5,6,7}:{(28,1),(81,1),(185,1)}
        13:{3,4,5,6}:{(29,1),(30,1),(31,1),(87,1),(139,1),(187,1)}
        14:{1,3,5,6}:{(4,1),(30,1),(32,1),(33,1),(80,1),(87,1),(208,1)}
        15:{1,3,4,6,7}:{(4,1),(32,1),(34,1),(81,1),(143,1),(147,1),(188,1)}
        16:{1,2,4,6}:{(4,1),(5,1),(33,1),(35,1),(89,1)}
        17:{2,3,5,7}:{(5,1),(35,1),(36,1),(91,1),(181,1)}
        18:{1,2,3,5,7}:{(11,1),(17,1),(39,1),(40,1),(101,1)}
        19:{3,5,6,7}:{(6,1),(41,1),(42,1),(202,1)}
        20:{3,4,5,7}:{(7,1),(41,1),(45,1),(46,1),(107,1)}
        21:{1,4,5,6}:{(7,1),(44,1),(45,1),(172,1),(203,1)}
        22:{2,4,5,6}:{(7,1),(8,1),(46,1),(120,1),(174,1)}
        23:{2,3,5,7}:{(8,1),(9,1),(46,1),(48,1),(107,1),(198,1)}
        24:{1,2,5,6}:{(8,1),(10,1),(48,1),(49,1),(101,1)}
        25:{1,2,4,6,7}:{(9,1),(10,1),(48,1),(50,1),(109,1)}
        26:{1,3,6}:{(10,1),(11,1),(197,1)}
        27:{1,3,4,7}:{(11,1),(40,1),(51,1),(109,1),(157,1)}
        28:{3,5,6,7}:{(12,1),(52,1),(54,1),(199,1)}
        29:{3,4,5,7}:{(13,1),(52,1),(56,1),(57,1),(117,1)}
        30:{1,4,5,6}:{(13,1),(14,1),(56,1),(110,1),(167,1)}
        31:{2,4,5,6}:{(13,1),(55,1),(57,1),(165,1),(200,1)}
        32:{1,3,5,7}:{(14,1),(15,1),(56,1),(59,1),(117,1),(201,1)}
        33:{1,2,5,6}:{(14,1),(16,1),(59,1),(60,1),(101,1)}
        34:{1,2,4,6,7}:{(15,1),(16,1),(59,1),(61,1),(119,1)}
        35:{2,3,6}:{(16,1),(17,1),(197,1)}
        36:{2,3,4,7}:{(17,1),(40,1),(62,1),(119,1),(157,1)}
        37:{2,3,4,5}:{(63,1),(64,1),(128,1),(148,1),(180,1)}
        38:{1,3,4,5}:{(65,1),(66,1),(125,1),(139,1),(178,1)}
        39:{1,2,3,6}:{(18,1),(26,1),(35,1),(69,1)}
        40:{1,2,4,7}:{(18,1),(27,1),(36,1),(69,1)}
        41:{3,4,6,7}:{(19,1),(20,1),(70,1),(71,1),(134,1),(192,1)}
        42:{1,5,6,7}:{(19,1),(70,1),(208,1)}
        43:{2,3,5,6,7}:{(19,1),(23,1),(71,1),(72,1),(134,1),(150,1)}
        44:{1,3,5,6}:{(21,1),(65,1),(73,1),(74,1),(76,1),(178,1),(205,1)}
        45:{1,4,5,7}:{(20,1),(21,1),(70,1),(73,1)}
        46:{2,4,5,7}:{(20,1),(22,1),(23,1),(71,1)}
        47:{1,2,4,5,6}:{(21,1),(22,1),(24,1),(74,1),(75,1),(76,1),(78,1),(131,1),(137,1),(182,1),(185,1),(207,1)}
        48:{1,2,5,7}:{(23,1),(24,1),(25,1),(77,1)}
        49:{1,3,5,6}:{(24,1),(26,1),(76,1),(77,1),(78,1),(80,1)}
        50:{1,3,6,7}:{(25,1),(26,1),(77,1),(134,1)}
        51:{1,3,4,6}:{(26,1),(27,1),(69,1),(78,1),(80,1),(129,1)}
        52:{3,4,6,7}:{(28,1),(29,1),(81,1),(82,1),(143,1),(187,1)}
        53:{1,3,5,6,7}:{(28,1),(32,1),(81,1),(83,1),(141,1),(143,1)}
        54:{2,5,6,7}:{(28,1),(82,1),(207,1)}
        55:{2,3,5,6}:{(31,1),(63,1),(84,1),(85,1),(87,1),(180,1),(206,1)}
        56:{1,4,5,7}:{(29,1),(30,1),(32,1),(81,1)}
        57:{2,4,5,7}:{(29,1),(31,1),(82,1),(84,1)}
        58:{1,2,4,5,6}:{(30,1),(31,1),(33,1),(85,1),(86,1),(87,1),(89,1),(131,1),(146,1),(182,1),(190,1),(208,1)}
        59:{1,2,5,7}:{(32,1),(33,1),(34,1),(88,1)}
        60:{2,3,5,6}:{(33,1),(35,1),(87,1),(88,1),(89,1),(91,1)}
        61:{2,3,6,7}:{(34,1),(35,1),(88,1),(143,1)}
        62:{2,3,4,6}:{(35,1),(36,1),(69,1),(89,1),(91,1),(129,1)}
        63:{2,3,4,6}:{(37,1),(55,1),(92,1),(93,1),(118,1)}
        64:{1,2,4,5}:{(37,1),(93,1),(94,1),(152,1),(172,1),(194,1)}
        65:{1,3,4,6}:{(38,1),(44,1),(95,1),(96,1),(108,1)}
        66:{1,2,4,5}:{(38,1),(96,1),(97,1),(152,1),(165,1),(194,1)}
        67:{1,2,3,5,6}:{(39,1),(49,1),(60,1),(98,1),(99,1),(101,1),(106,1),(116,1),(151,1),(158,1),(160,1),(194,1),(197,1),(209,1)}
        68:{1,2,3,6,7}:{(39,1),(50,1),(61,1),(98,1),(100,1),(161,1),(168,1),(197,1),(209,1)}
        69:{1,2,4,6}:{(39,1),(40,1),(51,1),(62,1),(101,1)}
        70:{1,4,6,7}:{(41,1),(42,1),(45,1),(102,1),(203,1)}
        71:{2,4,6,7}:{(41,1),(43,1),(46,1),(174,1)}
        72:{1,2,5,6,7}:{(42,1),(43,1),(48,1),(103,1),(104,1),(160,1),(198,1)}
        73:{1,3,5,7}:{(44,1),(45,1),(95,1),(102,1),(105,1),(107,1)}
        74:{1,2,5,6}:{(44,1),(96,1),(105,1),(106,1),(194,1),(209,1)}
        75:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(48,1),(103,1),(105,1),(107,1),(109,1),(163,1),(164,1),(198,1)}
        76:{3,5,6}:{(47,1),(107,1),(108,1),(158,1),(197,1)}
        77:{1,3,5,7}:{(48,1),(49,1),(50,1),(107,1),(109,1)}
        78:{1,4,6}:{(49,1),(108,1),(109,1),(110,1)}
        79:{1,3,4,6,7}:{(50,1),(51,1),(100,1),(109,1),(111,1),(157,1),(162,1),(167,1),(197,1)}
        80:{1,3,5}:{(51,1),(101,1),(110,1),(158,1)}
        81:{1,4,6,7}:{(52,1),(53,1),(56,1),(167,1)}
        82:{2,4,6,7}:{(52,1),(54,1),(57,1),(112,1),(200,1)}
        83:{1,2,5,6,7}:{(53,1),(54,1),(59,1),(113,1),(114,1),(160,1),(201,1)}
        84:{2,3,5,7}:{(55,1),(57,1),(92,1),(112,1),(115,1),(117,1)}
        85:{1,2,5,6}:{(55,1),(93,1),(115,1),(116,1),(194,1),(209,1)}
        86:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(59,1),(113,1),(115,1),(117,1),(119,1),(170,1),(171,1),(201,1)}
        87:{3,5,6}:{(58,1),(117,1),(118,1),(158,1),(197,1)}
        88:{2,3,5,7}:{(59,1),(60,1),(61,1),(117,1),(119,1)}
        89:{2,4,6}:{(60,1),(118,1),(119,1),(120,1)}
        90:{2,3,4,6,7}:{(61,1),(62,1),(100,1),(119,1),(121,1),(157,1),(169,1),(174,1),(197,1)}
        91:{2,3,5}:{(62,1),(101,1),(120,1),(158,1)}
        92:{2,3,4,7}:{(63,1),(84,1),(123,1),(147,1)}
        93:{1,2,4,6}:{(63,1),(64,1),(85,1),(123,1),(124,1),(146,1)}
        94:{1,3,5}:{(64,1),(124,1),(125,1)}
        95:{1,3,4,7}:{(65,1),(73,1),(126,1),(138,1)}
        96:{1,2,4,6}:{(65,1),(66,1),(74,1),(126,1),(127,1),(137,1)}
        97:{2,3,5}:{(66,1),(127,1),(128,1)}
        98:{1,2,3,5,7}:{(67,1),(68,1),(77,1),(88,1),(130,1),(132,1),(136,1),(145,1),(175,1),(181,1),(204,1)}
        99:{1,2,4,6}:{(67,1),(78,1),(89,1),(129,1),(130,1),(131,1),(137,1),(146,1)}
       100:{1,2,4,6,7}:{(68,1),(69,1),(79,1),(90,1),(130,1),(132,1),(182,1),(183,1),(188,1)}
       101:{1,2,5}:{(69,1),(80,1),(91,1)}
       102:{1,3,6,7}:{(70,1),(73,1),(133,1),(134,1),(205,1)}
       103:{1,2,4,6,7}:{(70,1),(71,1),(72,1),(75,1),(133,1),(134,1),(135,1),(182,1),(183,1)}
       104:{1,3,5,6,7}:{(72,1),(77,1),(134,1),(135,1),(141,1),(184,1)}
       105:{1,2,5,7}:{(73,1),(74,1),(126,1),(133,1),(136,1)}
       106:{2,3,5,6}:{(74,1),(76,1),(127,1),(136,1),(137,1),(180,1),(206,1),(207,1)}
       107:{3,5,7}:{(75,1),(76,1),(134,1),(138,1)}
       108:{3,4,6}:{(76,1),(78,1),(137,1),(138,1),(139,1)}
       109:{1,4,7}:{(77,1),(78,1),(138,1)}
       110:{1,4,5}:{(78,1),(80,1),(139,1)}
       111:{1,3,5,7}:{(79,1),(80,1),(132,1),(140,1),(141,1),(181,1),(184,1)}
       112:{2,3,6,7}:{(82,1),(84,1),(142,1),(143,1),(206,1)}
       113:{1,2,4,6,7}:{(81,1),(82,1),(83,1),(86,1),(142,1),(143,1),(144,1),(182,1),(188,1)}
       114:{2,3,5,6,7}:{(83,1),(88,1),(143,1),(144,1),(150,1),(189,1)}
       115:{1,2,5,7}:{(84,1),(85,1),(123,1),(142,1),(145,1)}
       116:{1,3,5,6}:{(85,1),(87,1),(124,1),(145,1),(146,1),(178,1),(205,1),(208,1)}
       117:{3,5,7}:{(86,1),(87,1),(143,1),(147,1)}
       118:{3,4,6}:{(87,1),(89,1),(146,1),(147,1),(148,1)}
       119:{2,4,7}:{(88,1),(89,1),(147,1)}
       120:{2,4,5}:{(89,1),(91,1),(148,1)}
       121:{2,3,5,7}:{(90,1),(91,1),(132,1),(149,1),(150,1),(181,1),(189,1)}
       122:{1,2,3,5}:{(94,1),(97,1),(151,1),(152,1),(194,1)}
       123:{1,2,4,7}:{(92,1),(93,1),(115,1),(153,1),(171,1)}
       124:{1,3,6}:{(93,1),(94,1),(153,1)}
       125:{1,3,4}:{(94,1),(152,1)}
       126:{1,2,4,7}:{(95,1),(96,1),(105,1),(155,1),(164,1)}
       127:{2,3,6}:{(96,1),(97,1),(155,1)}
       128:{2,3,4}:{(97,1),(152,1)}
       129:{3,4,6}:{(99,1),(157,1),(158,1),(197,1)}
       130:{1,2,4,7}:{(98,1),(99,1),(109,1),(119,1),(157,1),(164,1),(171,1)}
       131:{1,2,4,5}:{(99,1),(101,1),(110,1),(120,1),(158,1),(165,1),(172,1),(194,1)}
       132:{1,2,5,7}:{(100,1),(101,1),(111,1),(121,1),(160,1),(198,1),(201,1)}
       133:{1,2,6,7}:{(102,1),(105,1),(161,1),(209,1)}
       134:{3,6,7}:{(103,1),(107,1),(197,1)}
       135:{1,4,6,7}:{(104,1),(109,1),(162,1),(163,1),(167,1)}
       136:{2,3,5,7}:{(105,1),(106,1),(107,1),(155,1),(161,1),(164,1),(198,1)}
       137:{2,4,6}:{(106,1),(108,1),(164,1),(165,1)}
       138:{3,4,7}:{(107,1),(108,1),(109,1),(164,1)}
       139:{3,4,5}:{(108,1),(110,1),(158,1),(165,1)}
       140:{1,4,5,7}:{(109,1),(110,1),(111,1),(166,1),(167,1)}
       141:{1,3,5,6}:{(111,1),(160,1),(167,1),(197,1),(199,1)}
       142:{1,2,6,7}:{(112,1),(115,1),(168,1),(209,1)}
       143:{3,6,7}:{(113,1),(117,1),(197,1)}
       144:{2,4,6,7}:{(114,1),(119,1),(169,1),(170,1),(174,1)}
       145:{1,3,5,7}:{(115,1),(116,1),(117,1),(153,1),(168,1),(171,1),(201,1)}
       146:{1,4,6}:{(116,1),(118,1),(171,1),(172,1)}
       147:{3,4,7}:{(117,1),(118,1),(119,1),(171,1)}
       148:{3,4,5}:{(118,1),(120,1),(158,1),(172,1)}
       149:{2,4,5,7}:{(119,1),(120,1),(121,1),(173,1),(174,1)}
       150:{2,3,5,6}:{(121,1),(160,1),(174,1),(197,1),(202,1)}
       151:{1,2,3,6}:{(122,1),(124,1),(127,1),(175,1),(176,1)}
       152:{1,2,4}:{(122,1),(125,1),(128,1)}
       153:{1,3,7}:{(123,1),(124,1)}
       154:{1,3,4,6}:{(124,1),(125,1),(129,1),(146,1),(176,1),(177,1),(178,1),(205,1)}
       155:{2,3,7}:{(126,1),(127,1)}
       156:{2,3,4,6}:{(127,1),(128,1),(129,1),(137,1),(176,1),(179,1),(180,1),(206,1)}
       157:{3,4,7}:{(129,1),(130,1),(181,1)}
       158:{3,5}:{(129,1),(131,1)}
       159:{1,2,4,5,7}:{(130,1),(131,1),(132,1),(140,1),(149,1),(181,1),(182,1),(186,1),(191,1),(204,1)}
       160:{1,2,5,6}:{(132,1),(141,1),(150,1),(182,1),(207,1),(208,1)}
       161:{2,3,6,7}:{(133,1),(134,1),(136,1),(183,1),(206,1)}
       162:{3,4,6,7}:{(134,1),(135,1),(138,1),(183,1),(184,1),(187,1)}
       163:{1,4,5,7}:{(135,1),(184,1),(185,1)}
       164:{2,4,7}:{(136,1),(137,1),(138,1)}
       165:{2,4,5}:{(137,1),(139,1),(180,1)}
       166:{3,4,5,7}:{(138,1),(139,1),(140,1),(181,1),(184,1),(186,1),(187,1)}
       167:{1,4,6}:{(140,1),(141,1),(187,1)}
       168:{1,3,6,7}:{(142,1),(143,1),(145,1),(188,1),(205,1)}
       169:{3,4,6,7}:{(143,1),(144,1),(147,1),(188,1),(189,1),(192,1)}
       170:{2,4,5,7}:{(144,1),(189,1),(190,1)}
       171:{1,4,7}:{(145,1),(146,1),(147,1)}
       172:{1,4,5}:{(146,1),(148,1),(178,1)}
       173:{3,4,5,7}:{(147,1),(148,1),(149,1),(181,1),(189,1),(191,1),(192,1)}
       174:{2,4,6}:{(149,1),(150,1),(192,1)}
       175:{1,2,3,7}:{(151,1),(153,1),(155,1),(193,1)}
       176:{1,2,4,6}:{(151,1),(152,1),(154,1),(156,1),(193,1),(194,1),(209,1)}
       177:{1,3,4,7}:{(153,1),(154,1),(157,1),(171,1),(193,1),(195,1)}
       178:{1,3,5}:{(154,1),(158,1),(172,1),(194,1)}
       179:{2,3,4,7}:{(155,1),(156,1),(157,1),(164,1),(193,1),(196,1)}
       180:{2,3,5}:{(156,1),(158,1),(165,1),(194,1)}
       181:{3,5,7}:{(157,1),(158,1),(159,1),(197,1)}
       182:{1,2,4,6}:{(159,1),(160,1),(167,1),(174,1),(197,1),(200,1),(203,1),(209,1)}
       183:{2,4,6,7}:{(161,1),(162,1),(164,1),(198,1),(200,1)}
       184:{3,5,7}:{(162,1),(163,1),(198,1),(199,1)}
       185:{1,4,5,6}:{(163,1),(167,1),(199,1)}
       186:{2,4,5,7}:{(164,1),(165,1),(166,1),(196,1),(198,1),(200,1)}
       187:{3,4,6}:{(166,1),(167,1),(197,1),(199,1),(200,1)}
       188:{1,4,6,7}:{(168,1),(169,1),(171,1),(201,1),(203,1)}
       189:{3,5,7}:{(169,1),(170,1),(201,1),(202,1)}
       190:{2,4,5,6}:{(170,1),(174,1),(202,1)}
       191:{1,4,5,7}:{(171,1),(172,1),(173,1),(195,1),(201,1),(203,1)}
       192:{3,4,6}:{(173,1),(174,1),(197,1),(202,1),(203,1)}
       193:{1,2,4,7}:{(175,1),(176,1),(177,1),(179,1),(204,1)}
       194:{1,2,5}:{(176,1),(178,1),(180,1)}
       195:{1,3,5,7}:{(177,1),(178,1),(181,1),(191,1),(204,1),(205,1)}
       196:{2,3,5,7}:{(179,1),(180,1),(181,1),(186,1),(204,1),(206,1)}
       197:{3,6}:{(181,1),(182,1)}
       198:{2,5,7}:{(183,1),(184,1),(207,1)}
       199:{3,5,6}:{(184,1),(185,1),(187,1),(207,1)}
       200:{2,4,6}:{(186,1),(187,1),(206,1),(207,1)}
       201:{1,5,7}:{(188,1),(189,1),(208,1)}
       202:{3,5,6}:{(189,1),(190,1),(192,1),(208,1)}
       203:{1,4,6}:{(191,1),(192,1),(205,1),(208,1)}
       204:{1,2,5,7}:{(193,1),(194,1),(195,1),(196,1),(209,1)}
       205:{1,3,6}:{(195,1),(197,1),(203,1),(209,1)}
       206:{2,3,6}:{(196,1),(197,1),(200,1),(209,1)}
       207:{2,5,6}:{(198,1),(199,1),(200,1)}
       208:{1,5,6}:{(201,1),(202,1),(203,1)}
       209:{1,2,6}:{(204,1),(205,1),(206,1)}

1817 :   0:{1,3,4,5,6}:{(1,1),(2,1),(18,1),(57,1),(63,1)}
         1:{1,2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(49,1),(52,1)}
         2:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(28,1),(48,1),(53,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(40,1),(43,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(44,1)}
         6:{1,2,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(47,1),(49,1)}
         7:{2,3,4,6}:{(3,1),(11,1),(13,1),(14,1)}
         8:{2,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,2,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(34,1)}
        10:{1,3,5,6,7}:{(5,1),(16,1),(17,1),(35,1),(48,1)}
        11:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
        12:{1,2,3,5,7}:{(6,1),(8,1),(20,1),(21,1),(37,1),(40,1)}
        13:{2,3,4,5}:{(7,1),(19,1)}
        14:{2,3,4,7}:{(7,1),(8,1),(20,1)}
        15:{2,3,6,7}:{(8,1),(9,1)}
        16:{1,2,5,6,7}:{(9,1),(10,1),(24,1),(40,1)}
        17:{1,4,5,6,7}:{(10,1),(26,1),(58,1)}
        18:{1,3,4,6}:{(11,1),(27,1),(28,1),(47,1)}
        19:{1,2,4,5}:{(11,1),(13,1),(27,1)}
        20:{1,2,4,7}:{(11,1),(12,1),(14,1),(28,1)}
        21:{1,2,3,6,7}:{(12,1),(15,1),(30,1),(47,1)}
        22:{2,3,4,5,7}:{(13,1),(14,1),(29,1),(32,1),(33,1),(68,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1),(51,1)}
        24:{2,3,5,6,7}:{(15,1),(16,1),(33,1),(34,1),(35,1)}
        25:{1,2,4,5,6,7}:{(16,1),(17,1),(34,1),(35,1),(36,1),(50,1),(54,1),(56,1)}
        26:{3,4,5,6,7}:{(17,1),(35,1),(36,1),(68,1)}
        27:{1,3,5}:{(18,1),(19,1)}
        28:{1,3,4,7}:{(18,1),(20,1),(37,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(39,1),(40,1),(58,1)}
        30:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(39,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(24,1),(40,1),(41,1),(45,1),(57,1),(60,1),(81,1),(82,1),(83,1)}
        32:{2,3,4,6}:{(22,1),(39,1),(42,1),(77,1)}
        33:{2,3,5,7}:{(23,1),(40,1),(42,1),(43,1),(60,1)}
        34:{2,4,6,7}:{(24,1),(43,1),(44,1)}
        35:{3,5,6,7}:{(25,1),(44,1),(60,1)}
        36:{2,4,5,6,7}:{(26,1),(46,1),(79,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(47,1)}
        38:{1,3,4,6,7}:{(28,1),(30,1),(47,1),(48,1),(51,1),(67,1)}
        39:{1,2,4,6}:{(29,1),(32,1),(47,1),(49,1),(67,1)}
        40:{1,2,5,7}:{(30,1),(33,1),(48,1),(49,1)}
        41:{1,2,4,6,7}:{(31,1),(34,1),(50,1),(51,1),(54,1),(67,1),(87,1)}
        42:{2,3,5,6}:{(32,1),(33,1),(49,1),(52,1),(69,1)}
        43:{2,4,5,7}:{(33,1),(34,1),(52,1),(53,1)}
        44:{3,4,6,7}:{(34,1),(35,1),(53,1),(54,1)}
        45:{1,3,5,6,7}:{(35,1),(54,1),(56,1),(70,1),(76,1)}
        46:{2,3,5,6,7}:{(35,1),(36,1),(55,1),(56,1),(71,1)}
        47:{1,3,6}:{(37,1),(39,1)}
        48:{1,3,5,7}:{(38,1),(40,1),(57,1),(58,1),(60,1)}
        49:{1,2,5,6}:{(39,1),(40,1),(42,1),(57,1)}
        50:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(58,1),(59,1),(60,1),(64,1),(79,1),(82,1)}
        51:{3,4,6,7}:{(41,1),(60,1),(77,1)}
        52:{2,4,5,6}:{(42,1),(43,1),(63,1)}
        53:{3,4,5,7}:{(43,1),(44,1),(60,1),(63,1),(64,1)}
        54:{1,4,6,7}:{(44,1),(45,1),(64,1)}
        55:{2,3,4,6,7}:{(44,1),(46,1),(65,1),(66,1)}
        56:{1,2,5,6,7}:{(45,1),(46,1),(66,1),(82,1)}
        57:{1,3,5,6}:{(47,1),(48,1),(49,1),(67,1),(69,1)}
        58:{1,4,5,7}:{(48,1),(67,1),(68,1)}
        59:{1,2,4,5,6}:{(49,1),(50,1),(52,1),(67,1),(69,1),(73,1),(87,1),(89,1)}
        60:{3,5,7}:{(50,1),(51,1),(69,1)}
        61:{1,3,4,6,7}:{(51,1),(54,1),(70,1),(72,1),(76,1),(86,1),(92,1)}
        62:{2,3,4,6,7}:{(51,1),(71,1),(72,1),(87,1),(98,1),(99,1)}
        63:{3,4,5,6}:{(52,1),(53,1),(69,1),(73,1)}
        64:{1,4,5,7}:{(53,1),(54,1),(70,1),(73,1)}
        65:{2,3,4,5,7}:{(53,1),(55,1),(71,1),(74,1),(75,1),(99,1)}
        66:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(75,1),(76,1)}
        67:{1,4,6}:{(57,1),(58,1),(77,1)}
        68:{3,4,5,7}:{(58,1),(60,1),(77,1),(79,1)}
        69:{3,5,6}:{(59,1),(60,1),(77,1)}
        70:{1,3,5,7}:{(60,1),(61,1),(64,1),(80,1),(82,1)}
        71:{2,3,5,7}:{(60,1),(62,1),(79,1),(81,1),(82,1)}
        72:{1,2,4,6,7}:{(61,1),(62,1),(82,1),(83,1),(93,1),(96,1)}
        73:{1,4,5,6}:{(63,1),(64,1),(80,1)}
        74:{2,3,4,5,6}:{(63,1),(65,1),(81,1),(84,1),(102,1)}
        75:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(82,1),(84,1),(85,1),(96,1)}
        76:{1,3,6,7}:{(66,1),(85,1)}
        77:{3,4,6}:{(67,1),(68,1),(69,1),(87,1)}
        78:{1,3,4,5,7}:{(68,1),(70,1),(86,1),(88,1),(92,1),(101,1)}
        79:{2,4,5,7}:{(68,1),(71,1),(87,1)}
        80:{1,3,5,6}:{(69,1),(70,1),(73,1),(86,1),(89,1)}
        81:{2,3,5,6}:{(69,1),(71,1),(87,1),(89,1),(98,1)}
        82:{1,2,5,7}:{(70,1),(71,1),(72,1),(89,1)}
        83:{1,2,3,6,7}:{(72,1),(76,1),(90,1),(98,1)}
        84:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(89,1),(91,1),(100,1)}
        85:{1,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,3,4,6}:{(77,1),(78,1),(80,1),(93,1)}
        87:{2,4,6}:{(77,1),(79,1),(81,1)}
        88:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(93,1),(94,1),(96,1),(103,1)}
        89:{1,2,5,6}:{(80,1),(81,1),(82,1),(93,1)}
        90:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(94,1),(95,1),(96,1)}
        91:{1,3,5,6}:{(84,1),(85,1),(97,1)}
        92:{1,3,4,7}:{(85,1),(96,1),(97,1)}
        93:{1,2,4,6}:{(86,1),(87,1),(88,1),(89,1),(98,1)}
        94:{2,3,5,7}:{(88,1),(98,1),(99,1),(104,1)}
        95:{1,2,3,5,6}:{(89,1),(90,1),(91,1),(98,1),(100,1),(104,1)}
        96:{1,2,4,7}:{(90,1),(92,1),(99,1),(100,1)}
        97:{1,3,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{2,3,6}:{(93,1),(94,1)}
        99:{2,3,4,7}:{(94,1),(96,1),(102,1)}
       100:{1,2,4,6}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{1,3,4,5}:{(97,1),(103,1)}
       102:{2,3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       103:{1,2,4,5}:{(100,1),(101,1),(104,1)}
       104:{2,3,5}:{(102,1),(103,1)}

1818 :   0:{1,3,4,5,7}:{(4,1),(5,1),(7,1),(53,1),(66,1),(70,1),(102,1),(109,1),(116,1),(121,1)}
         1:{1,3,4,6,7}:{(5,1),(6,1),(7,1),(9,1),(33,1),(66,1),(73,1)}
         2:{1,3,5,6,7}:{(7,1),(8,1),(9,1),(10,1),(33,1),(69,1)}
         3:{1,4,5,6,7}:{(9,1),(10,1),(113,1)}
         4:{1,2,4,5,7}:{(0,1),(11,1),(12,1),(15,1),(35,1),(45,1),(78,1),(82,1)}
         5:{1,3,4,6}:{(0,1),(12,1),(13,1),(83,1),(96,1),(144,1),(149,1)}
         6:{1,2,4,6,7}:{(1,1),(12,1),(14,1),(15,1),(45,1)}
         7:{1,3,5,7}:{(1,1),(13,1),(15,1),(16,1),(46,1),(100,1)}
         8:{1,2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(20,1),(86,1),(100,1)}
         9:{1,4,6,7}:{(2,1),(16,1),(19,1),(96,1)}
        10:{3,5,6,7}:{(3,1),(19,1),(20,1),(142,1)}
        11:{2,3,5,7}:{(4,1),(22,1),(23,1),(58,1),(116,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(23,1),(24,1),(59,1)}
        13:{1,3,5,6}:{(5,1),(7,1),(24,1),(25,1),(60,1),(102,1),(127,1)}
        14:{2,3,6,7}:{(6,1),(23,1),(28,1),(33,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(24,1),(28,1)}
        16:{1,4,5,7}:{(7,1),(9,1),(25,1),(30,1)}
        17:{2,3,5,6,7}:{(8,1),(28,1),(32,1),(33,1),(64,1),(72,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(29,1),(32,1),(33,1),(34,1),(73,1),(74,1),(115,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(30,1),(33,1),(34,1),(124,1)}
        20:{2,5,6,7}:{(10,1),(34,1),(167,1)}
        21:{1,2,3,5,7}:{(11,1),(35,1),(36,1),(75,1),(78,1)}
        22:{2,3,4,7}:{(11,1),(35,1),(38,1),(45,1),(88,1)}
        23:{2,3,6}:{(11,1),(12,1),(144,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(15,1),(39,1),(78,1)}
        25:{1,4,5,6}:{(13,1),(16,1),(41,1),(96,1),(130,1)}
        26:{1,2,3,6,7}:{(14,1),(36,1),(42,1),(43,1),(51,1),(128,1),(144,1),(188,1),(189,1)}
        27:{2,3,4,6,7}:{(14,1),(38,1),(42,1),(44,1),(45,1),(50,1),(88,1),(90,1),(144,1)}
        28:{2,3,5,7}:{(14,1),(15,1),(39,1),(45,1),(46,1)}
        29:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(40,1),(45,1),(46,1),(47,1),(49,1),(92,1),(94,1),(100,1)}
        30:{3,4,5,7}:{(16,1),(19,1),(41,1),(46,1),(47,1)}
        31:{1,3,4,6,7}:{(42,1),(48,1),(76,1),(88,1),(96,1),(128,1),(144,1),(151,1),(175,1)}
        32:{2,4,6,7}:{(17,1),(45,1),(49,1),(50,1),(90,1)}
        33:{3,6,7}:{(18,1),(46,1),(144,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(47,1),(52,1),(152,1)}
        35:{1,2,4,7}:{(21,1),(22,1),(53,1),(55,1)}
        36:{1,2,3,6}:{(21,1),(23,1),(55,1),(101,1)}
        37:{2,3,4,5,7}:{(22,1),(54,1),(57,1),(58,1),(65,1),(107,1),(116,1),(125,1),(156,1),(190,1)}
        38:{2,3,4,6}:{(22,1),(23,1),(55,1),(58,1),(59,1),(106,1)}
        39:{2,3,5,6}:{(23,1),(24,1),(28,1),(58,1),(59,1),(60,1)}
        40:{1,2,4,5,6}:{(24,1),(25,1),(29,1),(59,1),(60,1),(61,1),(71,1),(105,1),(110,1),(112,1),(115,1),(127,1)}
        41:{3,4,5,6}:{(25,1),(30,1),(60,1),(61,1),(124,1),(156,1)}
        42:{1,2,4,6,7}:{(26,1),(27,1),(31,1),(55,1),(62,1),(63,1),(73,1),(115,1),(174,1)}
        43:{1,2,3,5,7}:{(26,1),(28,1),(56,1),(62,1),(63,1),(67,1),(116,1),(154,1),(171,1),(172,1),(195,1)}
        44:{2,3,5,7}:{(27,1),(58,1),(62,1),(64,1),(65,1),(72,1),(116,1)}
        45:{2,4,7}:{(28,1),(59,1),(66,1)}
        46:{3,5,7}:{(29,1),(33,1),(60,1),(66,1)}
        47:{2,4,5,7}:{(30,1),(34,1),(61,1),(68,1)}
        48:{1,3,5,7}:{(31,1),(62,1),(69,1),(70,1),(102,1),(116,1),(166,1)}
        49:{2,4,5,7}:{(32,1),(71,1),(72,1)}
        50:{3,4,6,7}:{(32,1),(33,1),(66,1),(72,1),(73,1),(120,1)}
        51:{1,3,6,7}:{(33,1),(67,1),(73,1),(74,1),(169,1)}
        52:{2,3,6,7}:{(33,1),(34,1),(68,1),(74,1),(170,1)}
        53:{1,3,4,7}:{(35,1),(75,1),(76,1),(88,1),(175,1)}
        54:{1,2,4,5,7}:{(35,1),(37,1),(75,1),(77,1),(78,1),(130,1),(131,1),(175,1)}
        55:{1,2,4,6}:{(35,1),(36,1),(38,1),(76,1),(78,1)}
        56:{1,2,3,5,6}:{(36,1),(39,1),(43,1),(78,1),(79,1),(84,1),(86,1),(129,1),(133,1),(144,1),(181,1),(182,1),(183,1),(189,1)}
        57:{2,3,4,6}:{(37,1),(77,1),(81,1),(90,1),(144,1),(152,1),(176,1)}
        58:{2,3,5}:{(38,1),(78,1),(82,1),(133,1)}
        59:{2,4,6}:{(39,1),(45,1),(82,1),(83,1)}
        60:{3,5,6}:{(40,1),(46,1),(83,1),(133,1),(144,1)}
        61:{2,4,5,6}:{(41,1),(47,1),(85,1),(152,1),(178,1)}
        62:{1,2,5,7}:{(42,1),(44,1),(48,1),(78,1),(86,1),(100,1),(186,1)}
        63:{1,2,4,7}:{(43,1),(45,1),(79,1),(88,1),(92,1),(175,1),(201,1)}
        64:{2,3,5,6}:{(44,1),(86,1),(90,1),(99,1),(144,1)}
        65:{2,4,5,7}:{(44,1),(45,1),(82,1),(90,1),(91,1)}
        66:{3,4,7}:{(45,1),(46,1),(83,1),(92,1)}
        67:{1,3,5,7}:{(46,1),(51,1),(84,1),(92,1),(94,1),(100,1),(150,1)}
        68:{2,3,5,7}:{(46,1),(47,1),(52,1),(85,1),(93,1),(94,1)}
        69:{1,3,5,6}:{(48,1),(86,1),(96,1),(142,1),(144,1)}
        70:{1,4,5,7}:{(48,1),(96,1),(97,1),(130,1),(175,1)}
        71:{2,4,5,6}:{(49,1),(90,1),(99,1)}
        72:{3,5,7}:{(49,1),(50,1),(99,1),(100,1)}
        73:{1,4,6,7}:{(50,1),(51,1),(92,1),(100,1),(149,1)}
        74:{1,2,6,7}:{(51,1),(52,1),(94,1),(189,1)}
        75:{1,3,5,7}:{(53,1),(54,1),(101,1),(102,1),(116,1)}
        76:{1,3,4,6}:{(53,1),(55,1),(101,1),(102,1),(106,1),(155,1)}
        77:{1,2,4,6}:{(54,1),(57,1),(101,1),(104,1),(155,1)}
        78:{1,2,5}:{(55,1),(58,1),(102,1)}
        79:{1,2,4,6}:{(56,1),(59,1),(63,1),(105,1),(106,1),(110,1),(155,1),(192,1)}
        80:{2,3,4,6,7}:{(57,1),(103,1),(107,1),(119,1),(168,1),(174,1),(190,1)}
        81:{2,3,5,6}:{(57,1),(58,1),(104,1),(107,1),(108,1),(158,1),(167,1)}
        82:{2,4,5}:{(58,1),(59,1),(109,1)}
        83:{3,4,6}:{(59,1),(60,1),(66,1),(109,1),(110,1)}
        84:{1,3,5,6}:{(60,1),(67,1),(110,1),(112,1),(127,1),(159,1),(165,1),(169,1)}
        85:{2,3,5,6}:{(60,1),(61,1),(68,1),(111,1),(112,1),(160,1),(170,1)}
        86:{1,2,5,6}:{(62,1),(64,1),(69,1),(115,1),(127,1),(167,1)}
        87:{1,2,4,5,7}:{(62,1),(63,1),(65,1),(70,1),(105,1),(115,1),(116,1),(121,1),(125,1),(171,1)}
        88:{3,4,7}:{(63,1),(106,1),(116,1)}
        89:{2,3,5,6,7}:{(64,1),(107,1),(114,1),(119,1),(126,1),(168,1)}
        90:{2,4,6}:{(64,1),(65,1),(120,1)}
        91:{3,4,5,7}:{(65,1),(66,1),(72,1),(109,1),(116,1),(120,1),(121,1)}
        92:{1,4,7}:{(66,1),(67,1),(110,1)}
        93:{2,3,4,7}:{(66,1),(68,1),(111,1),(122,1)}
        94:{1,2,5,7}:{(67,1),(68,1),(74,1),(112,1),(122,1)}
        95:{1,3,5,6,7}:{(69,1),(114,1),(123,1),(154,1),(166,1),(168,1)}
        96:{1,4,6}:{(69,1),(70,1),(124,1)}
        97:{3,4,5,7}:{(70,1),(116,1),(124,1),(125,1),(156,1),(166,1),(190,1)}
        98:{2,4,5,6,7}:{(71,1),(119,1),(126,1)}
        99:{3,5,6}:{(71,1),(72,1),(120,1),(127,1)}
       100:{1,5,7}:{(72,1),(73,1),(127,1)}
       101:{1,3,6}:{(75,1),(77,1),(144,1)}
       102:{1,3,5}:{(76,1),(78,1),(130,1),(133,1)}
       103:{1,2,4,6,7}:{(77,1),(80,1),(128,1),(131,1),(175,1)}
       104:{1,2,5,6}:{(77,1),(78,1),(81,1),(129,1),(131,1)}
       105:{1,2,4,5}:{(78,1),(79,1),(82,1),(130,1),(133,1),(138,1),(178,1),(182,1)}
       106:{3,4,6}:{(79,1),(88,1),(133,1),(144,1)}
       107:{2,3,5,7}:{(80,1),(81,1),(131,1),(136,1),(179,1),(186,1)}
       108:{2,4,5,6}:{(81,1),(82,1),(90,1),(136,1),(137,1)}
       109:{3,4,5}:{(82,1),(83,1),(133,1),(138,1)}
       110:{1,4,6}:{(83,1),(84,1),(92,1),(138,1)}
       111:{2,3,4,6}:{(83,1),(85,1),(93,1),(139,1),(140,1)}
       112:{1,2,5,6}:{(84,1),(85,1),(94,1),(140,1),(182,1),(189,1)}
       113:{1,4,5,6}:{(96,1),(141,1),(142,1)}
       114:{1,2,5,6,7}:{(86,1),(89,1),(95,1),(131,1),(143,1),(153,1),(186,1)}
       115:{1,2,4,6}:{(86,1),(87,1),(90,1),(96,1),(144,1),(149,1),(152,1),(189,1)}
       116:{3,5,7}:{(87,1),(88,1),(133,1),(144,1)}
       117:{1,3,4,7}:{(88,1),(92,1),(134,1),(145,1),(147,1),(150,1)}
       118:{2,3,4,7}:{(88,1),(135,1),(146,1),(147,1),(201,1),(209,1)}
       119:{2,4,6,7}:{(89,1),(90,1),(136,1),(148,1)}
       120:{3,4,6}:{(90,1),(91,1),(99,1),(144,1),(149,1)}
       121:{1,4,5,7}:{(91,1),(92,1),(100,1),(138,1),(145,1),(149,1)}
       122:{1,2,4,7}:{(92,1),(93,1),(94,1),(140,1),(150,1)}
       123:{1,4,6,7}:{(95,1),(96,1),(141,1),(151,1),(175,1)}
       124:{3,4,6}:{(96,1),(97,1),(142,1),(144,1),(152,1)}
       125:{2,4,5,7}:{(97,1),(146,1),(152,1),(178,1),(186,1),(201,1)}
       126:{3,5,6,7}:{(98,1),(99,1),(148,1),(153,1)}
       127:{1,5,6}:{(99,1),(100,1),(149,1)}
       128:{1,3,6,7}:{(101,1),(103,1),(154,1),(168,1)}
       129:{1,3,5,6}:{(101,1),(102,1),(104,1),(154,1),(155,1),(158,1)}
       130:{1,4,5}:{(102,1),(155,1),(156,1)}
       131:{1,2,5,7}:{(103,1),(104,1),(107,1),(154,1)}
       132:{1,2,4,5,6}:{(104,1),(105,1),(108,1),(113,1),(115,1),(155,1),(157,1),(158,1),(163,1),(167,1),(192,1),(196,1)}
       133:{3,5}:{(105,1),(106,1)}
       134:{1,3,4,6}:{(106,1),(110,1),(117,1),(159,1),(161,1),(165,1),(169,1),(198,1)}
       135:{2,3,4,6}:{(106,1),(118,1),(160,1),(161,1),(170,1),(192,1),(207,1),(208,1)}
       136:{2,4,5,7}:{(107,1),(108,1),(119,1),(162,1)}
       137:{3,4,5,6}:{(108,1),(109,1),(120,1),(158,1),(162,1),(163,1)}
       138:{1,4,5}:{(109,1),(110,1),(159,1)}
       139:{2,3,4,5}:{(109,1),(111,1),(160,1),(164,1),(208,1)}
       140:{1,2,4,6}:{(110,1),(111,1),(112,1),(122,1),(164,1),(165,1)}
       141:{1,4,5,7}:{(113,1),(123,1),(166,1)}
       142:{3,5,6}:{(113,1),(124,1),(166,1),(167,1)}
       143:{1,2,4,6,7}:{(114,1),(115,1),(119,1),(123,1),(157,1),(168,1),(173,1),(174,1),(199,1)}
       144:{3,6}:{(115,1),(116,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(121,1),(159,1),(169,1),(171,1)}
       146:{2,3,5,7}:{(116,1),(118,1),(125,1),(160,1),(170,1),(171,1)}
       147:{1,2,4,7}:{(117,1),(118,1),(161,1),(171,1),(172,1)}
       148:{3,4,6,7}:{(119,1),(120,1),(126,1),(162,1),(168,1),(173,1)}
       149:{1,4,6}:{(120,1),(121,1),(127,1),(169,1)}
       150:{1,3,7}:{(122,1),(165,1)}
       151:{3,4,6,7}:{(123,1),(124,1),(166,1),(168,1),(174,1),(190,1)}
       152:{2,4,6}:{(124,1),(125,1),(167,1),(170,1)}
       153:{1,5,6,7}:{(126,1),(127,1),(173,1)}
       154:{1,3,5,7}:{(128,1),(129,1),(131,1),(175,1),(179,1)}
       155:{1,4,6}:{(129,1),(130,1),(175,1),(176,1)}
       156:{3,4,5}:{(130,1),(133,1),(176,1),(178,1)}
       157:{1,2,4,5,7}:{(131,1),(132,1),(136,1),(141,1),(143,1),(175,1),(179,1),(184,1),(186,1),(201,1),(204,1)}
       158:{3,5,6}:{(132,1),(133,1),(144,1),(176,1),(179,1)}
       159:{1,3,5}:{(133,1),(134,1),(138,1),(182,1)}
       160:{2,3,5}:{(133,1),(135,1),(178,1),(182,1)}
       161:{1,2,4,6}:{(134,1),(135,1),(147,1),(182,1),(183,1),(189,1),(205,1)}
       162:{3,4,5,7}:{(136,1),(137,1),(148,1),(179,1),(184,1)}
       163:{1,4,5,6}:{(137,1),(138,1),(149,1),(180,1),(184,1)}
       164:{1,2,4,5}:{(138,1),(139,1),(140,1),(182,1),(185,1),(205,1)}
       165:{1,3,6}:{(140,1),(150,1),(185,1)}
       166:{3,5,7}:{(141,1),(142,1),(151,1),(186,1)}
       167:{2,5,6}:{(142,1),(152,1),(186,1)}
       168:{3,6,7}:{(143,1),(144,1),(179,1)}
       169:{1,3,6}:{(144,1),(145,1),(149,1),(189,1)}
       170:{2,3,6}:{(144,1),(146,1),(152,1),(189,1)}
       171:{1,2,5,7}:{(145,1),(146,1),(147,1),(182,1),(189,1)}
       172:{1,2,3,7}:{(147,1),(150,1),(183,1),(209,1)}
       173:{1,4,6,7}:{(148,1),(149,1),(153,1),(184,1),(187,1)}
       174:{2,4,6,7}:{(151,1),(152,1),(186,1),(188,1),(201,1)}
       175:{1,4,7}:{(154,1),(155,1),(190,1)}
       176:{3,4,6}:{(155,1),(156,1),(158,1),(190,1),(192,1)}
       177:{1,3,4,5}:{(156,1),(159,1),(191,1),(193,1),(198,1)}
       178:{2,4,5}:{(156,1),(160,1),(192,1)}
       179:{3,5,7}:{(157,1),(158,1),(168,1),(190,1)}
       180:{1,3,5,6}:{(158,1),(159,1),(163,1),(169,1),(191,1),(194,1),(196,1)}
       181:{2,3,5,6}:{(158,1),(160,1),(167,1),(170,1),(192,1),(195,1),(196,1),(207,1)}
       182:{1,2,5}:{(159,1),(160,1),(161,1)}
       183:{1,2,3,6}:{(161,1),(165,1),(172,1),(197,1),(207,1)}
       184:{1,4,5,7}:{(162,1),(163,1),(173,1),(194,1)}
       185:{1,3,5}:{(164,1),(165,1),(198,1)}
       186:{2,5,7}:{(166,1),(167,1),(174,1)}
       187:{1,3,6,7}:{(168,1),(169,1),(173,1),(194,1),(199,1)}
       188:{2,3,6,7}:{(168,1),(170,1),(174,1),(195,1),(199,1)}
       189:{1,2,6}:{(169,1),(170,1),(171,1)}
       190:{3,4,7}:{(175,1),(176,1),(179,1),(201,1)}
       191:{1,3,4,6}:{(176,1),(177,1),(180,1),(200,1),(202,1)}
       192:{2,4,6}:{(176,1),(178,1),(181,1),(201,1)}
       193:{1,2,4,5}:{(177,1),(178,1),(182,1),(202,1),(203,1),(205,1)}
       194:{1,3,5,7}:{(179,1),(180,1),(184,1),(187,1),(200,1),(204,1)}
       195:{2,3,5,7}:{(179,1),(181,1),(186,1),(188,1),(201,1),(204,1),(209,1)}
       196:{1,2,5,6}:{(180,1),(181,1),(182,1),(189,1),(202,1),(204,1)}
       197:{1,2,3,5}:{(182,1),(183,1),(185,1),(203,1),(205,1)}
       198:{1,3,4}:{(185,1),(205,1)}
       199:{1,2,6,7}:{(187,1),(188,1),(189,1),(204,1)}
       200:{1,3,4,7}:{(190,1),(191,1),(194,1),(206,1)}
       201:{2,4,7}:{(190,1),(192,1),(195,1)}
       202:{1,2,4,6}:{(191,1),(192,1),(193,1),(196,1),(206,1),(207,1)}
       203:{2,3,5}:{(193,1),(207,1),(208,1)}
       204:{1,2,5,7}:{(194,1),(195,1),(196,1),(199,1),(206,1)}
       205:{1,2,4}:{(197,1),(198,1),(208,1)}
       206:{1,2,4,7}:{(200,1),(201,1),(202,1),(204,1),(209,1)}
       207:{2,3,6}:{(202,1),(203,1),(209,1)}
       208:{2,3,4}:{(203,1),(205,1)}
       209:{2,3,7}:{(206,1),(207,1)}

1819 :   0:{1,2,3,5,6,7}:{(2,1),(12,1),(22,1),(44,1),(45,1),(49,1),(50,1),(58,1),(60,1),(96,1),(100,1),(110,1),(136,1),(142,1),(165,1)}
         1:{1,2,4,5,6,7}:{(3,1),(11,1),(20,1),(21,1),(22,1),(57,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(69,1),(70,1),(84,1),(125,1),(133,1),(154,1),(172,1)}
         3:{3,5,6,7}:{(1,1),(8,1),(25,1),(83,1)}
         4:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(47,1),(48,1),(49,1),(146,1)}
         5:{3,4,6,7}:{(2,1),(12,1),(43,1),(60,1),(111,1),(142,1),(145,1),(166,1)}
         6:{1,3,4,5,7}:{(15,1),(16,1),(18,1),(47,1),(93,1),(104,1),(111,1),(140,1),(151,1)}
         7:{1,3,4,6,7}:{(15,1),(18,1),(19,1),(20,1),(60,1),(111,1)}
         8:{3,4,6,7}:{(3,1),(17,1),(20,1),(21,1),(43,1),(60,1),(111,1)}
         9:{1,3,5,6,7}:{(3,1),(18,1),(20,1),(22,1),(44,1),(60,1),(110,1)}
        10:{2,3,5,6,7}:{(3,1),(21,1),(22,1),(45,1),(56,1),(58,1),(60,1)}
        11:{1,2,4,5,6}:{(4,1),(25,1),(69,1),(70,1),(71,1)}
        12:{3,5,7}:{(4,1),(5,1),(25,1),(162,1)}
        13:{1,3,4,6,7}:{(5,1),(27,1),(29,1),(69,1),(85,1),(115,1),(119,1),(124,1),(129,1),(133,1),(154,1),(161,1)}
        14:{2,3,4,6,7}:{(5,1),(28,1),(29,1),(37,1),(70,1),(81,1),(84,1),(124,1),(129,1),(158,1),(160,1),(172,1)}
        15:{1,3,4,6}:{(6,1),(31,1),(32,1),(69,1),(124,1),(131,1)}
        16:{1,2,4,5,7}:{(6,1),(32,1),(33,1),(36,1),(73,1),(84,1),(126,1),(132,1)}
        17:{3,4,5,7}:{(8,1),(30,1),(34,1),(35,1),(83,1)}
        18:{1,3,5,7}:{(7,1),(31,1),(34,1),(36,1),(83,1)}
        19:{1,2,4,6,7}:{(7,1),(32,1),(36,1),(37,1),(84,1)}
        20:{1,4,6,7}:{(8,1),(9,1),(34,1),(69,1),(133,1)}
        21:{2,4,6,7}:{(8,1),(10,1),(35,1),(70,1),(84,1)}
        22:{1,2,5,6,7}:{(9,1),(10,1),(36,1),(39,1),(71,1),(82,1)}
        23:{2,3,4,5,7}:{(40,1),(41,1),(48,1),(55,1),(87,1),(104,1),(109,1),(166,1),(168,1)}
        24:{1,2,4,5,6,7}:{(11,1),(42,1),(94,1),(95,1),(96,1),(135,1)}
        25:{3,5,6}:{(11,1),(12,1),(43,1)}
        26:{3,4,5,7}:{(12,1),(43,1),(47,1),(48,1),(104,1),(111,1),(151,1),(166,1),(168,1)}
        27:{1,3,5,7}:{(12,1),(13,1),(44,1),(47,1),(49,1),(104,1),(140,1),(171,1)}
        28:{2,3,5,7}:{(12,1),(14,1),(45,1),(48,1),(49,1),(104,1),(109,1),(170,1)}
        29:{1,2,4,6,7}:{(13,1),(14,1),(49,1),(50,1),(99,1),(101,1),(105,1),(169,1)}
        30:{3,4,5,6}:{(17,1),(43,1),(51,1),(52,1),(107,1),(168,1)}
        31:{1,3,5,6}:{(15,1),(18,1),(51,1),(53,1),(107,1),(140,1)}
        32:{1,2,4,6}:{(15,1),(16,1),(53,1),(54,1),(108,1)}
        33:{2,3,5,7}:{(16,1),(54,1),(55,1),(104,1),(109,1)}
        34:{1,4,5,7}:{(17,1),(18,1),(20,1),(51,1)}
        35:{2,4,5,7}:{(17,1),(21,1),(52,1),(56,1)}
        36:{1,2,5,7}:{(18,1),(19,1),(53,1),(58,1)}
        37:{2,3,6,7}:{(19,1),(54,1),(58,1),(60,1)}
        38:{2,3,4,6,7}:{(21,1),(56,1),(59,1),(60,1),(98,1),(111,1)}
        39:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(57,1),(60,1),(99,1)}
        40:{2,3,4,6}:{(23,1),(63,1),(64,1),(70,1),(124,1),(156,1)}
        41:{1,2,4,5,7}:{(23,1),(64,1),(65,1),(73,1),(114,1),(126,1),(154,1),(157,1)}
        42:{3,5,6,7}:{(24,1),(25,1),(66,1),(153,1)}
        43:{3,4,6}:{(25,1),(26,1),(69,1),(70,1),(124,1)}
        44:{1,3,5,6}:{(25,1),(27,1),(69,1),(71,1),(124,1)}
        45:{2,3,5,6}:{(25,1),(28,1),(70,1),(71,1),(124,1)}
        46:{1,2,3,5,7}:{(33,1),(65,1),(72,1),(73,1),(126,1)}
        47:{1,4,5,7}:{(26,1),(27,1),(69,1),(133,1),(154,1),(157,1),(164,1)}
        48:{2,4,5,7}:{(26,1),(28,1),(70,1),(84,1),(132,1),(172,1),(173,1)}
        49:{1,2,5,7}:{(27,1),(28,1),(29,1),(71,1),(126,1),(174,1)}
        50:{1,2,3,6,7}:{(29,1),(37,1),(72,1),(77,1),(85,1),(115,1),(124,1),(158,1),(159,1)}
        51:{1,4,5,6}:{(30,1),(31,1),(34,1),(69,1),(157,1)}
        52:{2,4,5,6}:{(30,1),(35,1),(70,1),(78,1),(173,1)}
        53:{1,2,5,6}:{(31,1),(32,1),(36,1),(80,1),(126,1)}
        54:{2,3,6}:{(32,1),(33,1),(124,1)}
        55:{2,3,4,7}:{(33,1),(73,1),(81,1),(84,1),(129,1)}
        56:{2,3,5,7}:{(35,1),(38,1),(78,1),(82,1),(83,1)}
        57:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(39,1),(79,1),(82,1),(83,1),(84,1),(133,1)}
        58:{2,3,5,7}:{(36,1),(37,1),(80,1),(83,1),(84,1)}
        59:{1,2,4,6,7}:{(38,1),(82,1),(85,1),(123,1),(133,1)}
        60:{3,6,7}:{(39,1),(83,1),(124,1)}
        61:{2,3,4,6,7}:{(40,1),(87,1),(88,1),(95,1),(142,1),(166,1)}
        62:{3,4,5,6}:{(43,1),(86,1),(89,1),(90,1),(138,1),(151,1)}
        63:{2,3,5,6}:{(40,1),(87,1),(90,1),(91,1),(109,1),(138,1)}
        64:{1,2,4,6}:{(40,1),(41,1),(91,1),(92,1),(139,1)}
        65:{1,3,5,7}:{(41,1),(92,1),(93,1),(104,1),(140,1)}
        66:{3,4,6,7}:{(42,1),(43,1),(86,1),(94,1),(95,1),(142,1),(166,1)}
        67:{1,3,5,6,7}:{(42,1),(44,1),(94,1),(96,1),(134,1),(136,1),(142,1)}
        68:{2,3,5,6,7}:{(42,1),(45,1),(87,1),(95,1),(96,1),(142,1),(165,1)}
        69:{1,4,6}:{(43,1),(44,1),(47,1)}
        70:{2,4,6}:{(43,1),(45,1),(48,1)}
        71:{1,2,5,6}:{(44,1),(45,1),(49,1),(99,1)}
        72:{1,2,3,6}:{(46,1),(54,1),(92,1),(101,1)}
        73:{1,2,4,7}:{(46,1),(55,1),(93,1),(101,1)}
        74:{1,3,4,5,7}:{(47,1),(97,1),(102,1),(104,1),(134,1),(149,1),(166,1),(168,1),(171,1)}
        75:{2,3,4,5,7}:{(48,1),(56,1),(98,1),(103,1),(104,1),(111,1),(148,1),(151,1),(170,1)}
        76:{1,2,4,5,7}:{(47,1),(48,1),(49,1),(99,1),(104,1),(105,1),(146,1)}
        77:{1,2,3,5,7}:{(49,1),(50,1),(58,1),(100,1),(104,1),(105,1),(110,1),(136,1),(165,1)}
        78:{2,3,5,6}:{(52,1),(56,1),(98,1),(106,1),(107,1),(170,1)}
        79:{1,2,4,5,6}:{(51,1),(52,1),(53,1),(57,1),(99,1),(106,1),(107,1),(108,1),(146,1),(150,1)}
        80:{2,3,5,6}:{(53,1),(54,1),(58,1),(107,1),(108,1),(109,1)}
        81:{2,3,4,6}:{(54,1),(55,1),(101,1),(108,1),(109,1),(145,1)}
        82:{1,2,5,7}:{(56,1),(59,1),(106,1),(110,1)}
        83:{3,5,7}:{(57,1),(60,1),(107,1),(111,1)}
        84:{2,4,7}:{(58,1),(108,1),(111,1)}
        85:{1,3,6,7}:{(59,1),(60,1),(110,1),(144,1)}
        86:{3,4,5,7}:{(62,1),(66,1),(112,1),(113,1),(153,1)}
        87:{2,3,5,7}:{(61,1),(63,1),(113,1),(114,1),(153,1)}
        88:{1,2,4,6,7}:{(61,1),(64,1),(114,1),(115,1),(154,1)}
        89:{1,4,5,6}:{(62,1),(69,1),(112,1),(116,1),(164,1)}
        90:{2,4,5,6}:{(62,1),(63,1),(70,1),(113,1),(132,1)}
        91:{1,2,5,6}:{(63,1),(64,1),(114,1),(118,1),(126,1)}
        92:{1,3,6}:{(64,1),(65,1),(124,1)}
        93:{1,3,4,7}:{(65,1),(73,1),(119,1),(129,1),(154,1)}
        94:{1,4,6,7}:{(66,1),(67,1),(69,1),(112,1),(154,1)}
        95:{2,4,6,7}:{(66,1),(68,1),(70,1),(113,1),(172,1)}
        96:{1,2,5,6,7}:{(67,1),(68,1),(71,1),(114,1),(121,1),(152,1)}
        97:{1,3,4,6}:{(69,1),(74,1),(116,1),(122,1),(124,1),(156,1)}
        98:{2,3,4,6}:{(70,1),(75,1),(78,1),(123,1),(124,1),(131,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(71,1),(76,1),(124,1)}
       100:{1,2,3,5,6}:{(71,1),(72,1),(77,1),(80,1),(118,1),(124,1),(125,1),(126,1),(130,1),(155,1),(159,1),(162,1),(174,1)}
       101:{1,2,4,6}:{(72,1),(73,1),(81,1),(119,1),(126,1)}
       102:{1,2,4,5,7}:{(74,1),(122,1),(127,1),(152,1),(163,1),(172,1),(173,1),(174,1)}
       103:{1,2,4,5,7}:{(75,1),(82,1),(123,1),(128,1),(133,1),(163,1),(164,1),(174,1)}
       104:{3,5,7}:{(76,1),(124,1),(129,1),(162,1)}
       105:{1,2,4,7}:{(77,1),(84,1),(125,1),(129,1),(133,1),(154,1),(172,1)}
       106:{1,2,5,6}:{(78,1),(82,1),(123,1),(130,1),(174,1)}
       107:{3,5,6}:{(79,1),(83,1),(124,1),(131,1),(162,1)}
       108:{2,4,6}:{(80,1),(84,1),(131,1),(132,1)}
       109:{2,3,5}:{(81,1),(126,1),(132,1),(162,1)}
       110:{1,3,5,7}:{(82,1),(83,1),(85,1),(130,1),(133,1)}
       111:{3,4,7}:{(83,1),(84,1),(131,1),(133,1)}
       112:{1,4,5,7}:{(86,1),(89,1),(94,1),(134,1)}
       113:{2,4,5,7}:{(86,1),(87,1),(90,1),(95,1)}
       114:{1,2,5,7}:{(87,1),(88,1),(91,1),(136,1)}
       115:{1,3,6,7}:{(88,1),(92,1),(136,1),(142,1)}
       116:{1,3,5,6}:{(89,1),(97,1),(134,1),(137,1),(138,1),(171,1)}
       117:{1,2,4,5,6}:{(89,1),(90,1),(91,1),(99,1),(135,1),(137,1),(138,1),(139,1),(146,1),(167,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(136,1),(138,1),(139,1),(140,1)}
       119:{1,3,4,6}:{(92,1),(93,1),(101,1),(139,1),(140,1),(145,1)}
       120:{1,3,4,6,7}:{(94,1),(97,1),(134,1),(141,1),(142,1),(166,1)}
       121:{1,2,4,6,7}:{(94,1),(95,1),(96,1),(99,1),(135,1),(142,1)}
       122:{1,2,4,6}:{(97,1),(102,1),(137,1),(143,1),(167,1)}
       123:{1,2,4,6}:{(98,1),(103,1),(106,1),(144,1),(150,1)}
       124:{3,6}:{(99,1),(104,1)}
       125:{1,2,4,6}:{(100,1),(105,1),(108,1),(139,1),(145,1),(146,1),(150,1),(167,1)}
       126:{1,2,5}:{(101,1),(109,1),(140,1)}
       127:{2,3,5,7}:{(102,1),(104,1),(143,1),(148,1),(170,1)}
       128:{1,3,5,7}:{(103,1),(104,1),(144,1),(149,1),(171,1)}
       129:{3,4,7}:{(104,1),(105,1),(145,1)}
       130:{1,3,5,6}:{(106,1),(107,1),(110,1),(144,1),(150,1),(171,1)}
       131:{3,4,6}:{(107,1),(108,1),(111,1),(150,1),(151,1)}
       132:{2,4,5}:{(108,1),(109,1),(151,1)}
       133:{1,4,7}:{(110,1),(111,1),(150,1)}
       134:{1,3,5,7}:{(112,1),(116,1),(120,1),(152,1),(153,1)}
       135:{1,2,4,5,7}:{(112,1),(113,1),(114,1),(117,1),(121,1),(152,1),(153,1),(154,1),(172,1)}
       136:{1,3,5,7}:{(114,1),(115,1),(118,1),(153,1),(154,1)}
       137:{1,2,5,6}:{(116,1),(122,1),(152,1),(155,1),(174,1)}
       138:{3,5,6}:{(117,1),(124,1),(153,1),(156,1),(162,1)}
       139:{1,4,6}:{(118,1),(154,1),(156,1),(157,1)}
       140:{1,3,5}:{(119,1),(126,1),(157,1),(162,1)}
       141:{1,2,4,6,7}:{(120,1),(122,1),(152,1),(158,1),(172,1)}
       142:{3,6,7}:{(121,1),(124,1),(153,1)}
       143:{2,3,6}:{(122,1),(124,1),(127,1)}
       144:{1,3,6}:{(123,1),(124,1),(128,1)}
       145:{3,4,6}:{(124,1),(125,1),(129,1),(162,1)}
       146:{1,2,4,5}:{(125,1),(126,1),(132,1),(157,1),(162,1),(164,1),(173,1),(174,1)}
       147:{1,2,3,5,7}:{(127,1),(128,1),(159,1),(163,1),(174,1)}
       148:{2,3,4,7}:{(127,1),(129,1),(160,1),(163,1),(172,1)}
       149:{1,3,4,7}:{(128,1),(129,1),(133,1),(161,1),(163,1)}
       150:{1,4,6}:{(130,1),(131,1),(133,1),(164,1)}
       151:{3,4,5}:{(131,1),(132,1),(162,1),(164,1)}
       152:{1,2,5,7}:{(134,1),(137,1),(141,1),(165,1)}
       153:{3,5,7}:{(135,1),(138,1),(142,1),(166,1)}
       154:{1,4,7}:{(136,1),(139,1),(166,1)}
       155:{2,3,5,6}:{(137,1),(138,1),(143,1),(165,1),(167,1),(170,1)}
       156:{3,4,6}:{(138,1),(139,1),(166,1),(167,1),(168,1)}
       157:{1,4,5}:{(139,1),(140,1),(168,1)}
       158:{2,3,6,7}:{(141,1),(142,1),(143,1),(165,1)}
       159:{1,2,3,6}:{(143,1),(144,1),(147,1),(169,1)}
       160:{2,3,4,6}:{(143,1),(145,1),(148,1),(167,1),(169,1),(170,1)}
       161:{1,3,4,6}:{(144,1),(145,1),(149,1),(150,1),(169,1),(171,1)}
       162:{3,5}:{(145,1),(146,1)}
       163:{1,2,4,7}:{(147,1),(148,1),(149,1),(169,1)}
       164:{1,4,5}:{(150,1),(151,1),(171,1)}
       165:{2,3,5,7}:{(152,1),(153,1),(155,1),(158,1),(172,1)}
       166:{3,4,7}:{(153,1),(154,1),(156,1),(172,1)}
       167:{2,4,6}:{(155,1),(156,1),(172,1),(173,1)}
       168:{3,4,5}:{(156,1),(157,1),(162,1),(173,1)}
       169:{1,2,4,6}:{(159,1),(160,1),(161,1),(163,1),(174,1)}
       170:{2,3,5}:{(160,1),(162,1),(173,1),(174,1)}
       171:{1,3,5}:{(161,1),(162,1),(164,1),(174,1)}
       172:{2,4,7}:{(165,1),(166,1),(167,1)}
       173:{2,4,5}:{(167,1),(168,1),(170,1)}
       174:{1,2,5}:{(169,1),(170,1),(171,1)}

1820 :   0:{1,2,4,5,6,7}:{(1,1),(8,1),(9,1),(10,1),(20,1),(30,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(37,1),(48,1)}
         2:{1,2,3,5,6,7}:{(6,1),(10,1),(21,1),(31,1),(58,1),(59,1),(60,1),(61,1),(63,1),(65,1),(109,1),(110,1),(152,1),(155,1),(168,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(31,1),(54,1),(67,1)}
         4:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(26,1),(31,1),(58,1),(63,1)}
         5:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(24,1),(31,1),(59,1),(65,1)}
         6:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(78,1),(79,1),(86,1),(88,1),(135,1),(166,1),(173,1)}
         7:{3,4,5,7}:{(3,1),(15,1),(16,1),(17,1),(48,1)}
         8:{1,4,6,7}:{(3,1),(4,1),(16,1),(78,1),(86,1)}
         9:{2,4,6,7}:{(3,1),(5,1),(17,1),(79,1),(88,1)}
        10:{1,2,5,6,7}:{(4,1),(5,1),(18,1),(42,1),(45,1),(83,1)}
        11:{1,2,4,5,7}:{(6,1),(20,1),(21,1),(55,1),(56,1),(60,1),(154,1)}
        12:{3,4,6,7}:{(6,1),(21,1),(31,1),(54,1),(67,1),(152,1),(153,1),(171,1)}
        13:{2,3,4,6,7}:{(9,1),(24,1),(25,1),(31,1),(52,1),(67,1)}
        14:{1,3,4,6,7}:{(8,1),(26,1),(27,1),(31,1),(32,1),(67,1)}
        15:{3,4,5,6}:{(7,1),(28,1),(29,1),(54,1),(66,1),(172,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(26,1),(28,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(24,1),(29,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(30,1),(31,1),(107,1)}
        19:{1,3,4,5,7}:{(26,1),(32,1),(33,1),(55,1),(67,1),(108,1),(114,1),(119,1),(157,1)}
        20:{1,2,4,5,6}:{(11,1),(37,1),(78,1),(79,1),(83,1)}
        21:{3,5,7}:{(11,1),(12,1),(37,1),(165,1)}
        22:{1,3,4,6,7}:{(12,1),(38,1),(40,1),(43,1),(78,1),(86,1),(128,1),(133,1),(134,1),(140,1),(141,1),(166,1)}
        23:{2,3,4,6,7}:{(12,1),(39,1),(40,1),(46,1),(79,1),(88,1),(96,1),(133,1),(134,1),(160,1),(161,1),(173,1)}
        24:{2,3,5,7}:{(13,1),(17,1),(41,1),(42,1),(48,1)}
        25:{1,2,4,6,7}:{(13,1),(42,1),(43,1),(74,1),(86,1)}
        26:{1,3,5,7}:{(14,1),(16,1),(44,1),(45,1),(48,1)}
        27:{1,2,4,6,7}:{(14,1),(45,1),(46,1),(50,1),(88,1)}
        28:{1,4,5,6}:{(15,1),(16,1),(44,1),(78,1),(167,1)}
        29:{2,4,5,6}:{(15,1),(17,1),(41,1),(79,1),(174,1)}
        30:{1,2,4,5,7}:{(16,1),(17,1),(18,1),(42,1),(45,1),(47,1),(48,1),(86,1),(88,1)}
        31:{3,6,7}:{(18,1),(48,1),(133,1)}
        32:{1,3,4,6}:{(19,1),(44,1),(50,1),(78,1),(89,1),(133,1)}
        33:{1,2,4,5,7}:{(19,1),(45,1),(50,1),(51,1),(88,1),(95,1),(137,1),(142,1)}
        34:{2,3,4,5,7}:{(24,1),(52,1),(53,1),(56,1),(67,1),(108,1),(114,1),(147,1),(170,1)}
        35:{3,4,5,7}:{(21,1),(54,1),(55,1),(56,1),(67,1),(108,1),(114,1),(171,1),(172,1)}
        36:{1,2,4,5,6,7}:{(20,1),(57,1),(105,1),(106,1),(109,1),(150,1)}
        37:{3,5,6}:{(20,1),(21,1),(54,1)}
        38:{1,3,5,7}:{(21,1),(22,1),(55,1),(58,1),(60,1),(108,1),(149,1),(157,1)}
        39:{2,3,5,7}:{(21,1),(23,1),(56,1),(59,1),(60,1),(108,1),(121,1),(170,1)}
        40:{1,2,4,6,7}:{(22,1),(23,1),(60,1),(61,1),(107,1),(111,1),(120,1),(148,1)}
        41:{2,3,5,6}:{(24,1),(29,1),(52,1),(62,1),(66,1),(170,1)}
        42:{1,2,5,7}:{(24,1),(25,1),(62,1),(63,1)}
        43:{1,3,6,7}:{(25,1),(31,1),(63,1),(100,1)}
        44:{1,3,5,6}:{(26,1),(28,1),(32,1),(64,1),(66,1),(157,1)}
        45:{1,2,5,7}:{(26,1),(27,1),(64,1),(65,1)}
        46:{2,3,6,7}:{(27,1),(31,1),(65,1),(71,1)}
        47:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(62,1),(64,1),(66,1),(107,1),(112,1),(113,1),(154,1)}
        48:{3,5,7}:{(30,1),(31,1),(66,1),(67,1)}
        49:{2,3,4,5,7}:{(56,1),(68,1),(69,1),(72,1),(108,1),(115,1),(121,1),(171,1),(172,1)}
        50:{1,2,4,6}:{(32,1),(33,1),(64,1),(71,1),(113,1)}
        51:{2,3,5,7}:{(33,1),(71,1),(72,1),(108,1),(121,1)}
        52:{2,3,4,6}:{(34,1),(41,1),(74,1),(79,1),(89,1),(133,1)}
        53:{1,2,4,5,7}:{(34,1),(42,1),(74,1),(75,1),(86,1),(127,1),(136,1),(162,1)}
        54:{3,4,6}:{(35,1),(37,1),(78,1),(79,1),(133,1)}
        55:{1,4,5,7}:{(35,1),(38,1),(78,1),(86,1),(136,1),(166,1),(167,1)}
        56:{2,4,5,7}:{(35,1),(39,1),(79,1),(88,1),(137,1),(173,1),(174,1)}
        57:{3,5,6,7}:{(36,1),(37,1),(77,1),(163,1)}
        58:{1,3,5,6}:{(37,1),(38,1),(78,1),(83,1),(133,1)}
        59:{2,3,5,6}:{(37,1),(39,1),(79,1),(83,1),(133,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(40,1),(83,1),(142,1),(162,1)}
        61:{1,2,3,6,7}:{(40,1),(43,1),(46,1),(84,1),(94,1),(126,1),(133,1),(140,1),(160,1)}
        62:{1,2,5,6}:{(41,1),(42,1),(74,1),(85,1),(162,1)}
        63:{1,3,5,7}:{(42,1),(43,1),(48,1),(85,1),(86,1)}
        64:{1,2,5,6}:{(44,1),(45,1),(50,1),(87,1),(142,1)}
        65:{2,3,5,7}:{(45,1),(46,1),(48,1),(87,1),(88,1)}
        66:{3,5,6}:{(47,1),(48,1),(89,1),(133,1),(165,1)}
        67:{3,4,7}:{(48,1),(86,1),(88,1),(89,1)}
        68:{2,3,4,6}:{(49,1),(79,1),(90,1),(92,1),(133,1),(164,1)}
        69:{1,2,4,5,7}:{(49,1),(92,1),(93,1),(95,1),(138,1),(142,1),(166,1),(167,1)}
        70:{1,2,3,5,7}:{(51,1),(93,1),(94,1),(95,1),(142,1)}
        71:{2,3,6}:{(50,1),(51,1),(133,1)}
        72:{2,3,4,7}:{(51,1),(88,1),(95,1),(96,1),(134,1)}
        73:{1,3,4,5,7}:{(55,1),(97,1),(98,1),(101,1),(108,1),(143,1),(149,1),(171,1),(172,1)}
        74:{1,2,4,6}:{(52,1),(53,1),(62,1),(100,1),(112,1)}
        75:{1,3,5,7}:{(53,1),(100,1),(101,1),(108,1),(149,1)}
        76:{3,4,5,6}:{(54,1),(102,1),(103,1),(104,1),(114,1),(151,1)}
        77:{3,4,6,7}:{(54,1),(57,1),(102,1),(105,1),(106,1),(152,1),(171,1)}
        78:{1,4,6}:{(54,1),(55,1),(58,1)}
        79:{2,4,6}:{(54,1),(56,1),(59,1)}
        80:{1,2,4,5,7}:{(55,1),(56,1),(60,1),(107,1),(108,1),(111,1),(154,1)}
        81:{1,3,5,6,7}:{(57,1),(58,1),(105,1),(109,1),(143,1),(152,1),(155,1)}
        82:{2,3,5,6,7}:{(57,1),(59,1),(106,1),(109,1),(115,1),(152,1),(168,1)}
        83:{1,2,5,6}:{(58,1),(59,1),(60,1),(107,1)}
        84:{1,2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(108,1),(110,1),(111,1),(155,1),(168,1)}
        85:{1,3,5,6}:{(62,1),(63,1),(66,1),(100,1),(112,1),(149,1)}
        86:{1,4,7}:{(63,1),(67,1),(112,1)}
        87:{2,3,5,6}:{(64,1),(65,1),(66,1),(71,1),(113,1),(121,1)}
        88:{2,4,7}:{(65,1),(67,1),(113,1)}
        89:{3,4,6}:{(66,1),(67,1),(112,1),(113,1),(114,1)}
        90:{2,3,5,6}:{(68,1),(104,1),(115,1),(116,1),(121,1),(151,1)}
        91:{2,3,4,6,7}:{(68,1),(106,1),(115,1),(117,1),(152,1),(171,1)}
        92:{1,2,4,6}:{(68,1),(69,1),(116,1),(118,1),(156,1)}
        93:{1,3,5,7}:{(69,1),(108,1),(118,1),(119,1),(157,1)}
        94:{1,2,3,6}:{(70,1),(71,1),(118,1),(120,1)}
        95:{1,2,4,7}:{(70,1),(72,1),(119,1),(120,1)}
        96:{2,3,4,6}:{(71,1),(72,1),(113,1),(120,1),(121,1),(153,1)}
        97:{1,3,4,6}:{(73,1),(78,1),(122,1),(124,1),(133,1),(164,1)}
        98:{1,2,4,5,7}:{(73,1),(124,1),(125,1),(127,1),(158,1),(162,1),(173,1),(174,1)}
        99:{1,2,3,5,7}:{(75,1),(125,1),(126,1),(127,1),(162,1)}
       100:{1,3,6}:{(74,1),(75,1),(133,1)}
       101:{1,3,4,7}:{(75,1),(86,1),(127,1),(128,1),(134,1)}
       102:{3,4,5,7}:{(76,1),(77,1),(129,1),(130,1),(163,1)}
       103:{1,4,5,6}:{(76,1),(78,1),(122,1),(129,1),(136,1)}
       104:{2,4,5,6}:{(76,1),(79,1),(90,1),(130,1),(137,1)}
       105:{1,4,6,7}:{(77,1),(78,1),(81,1),(129,1),(166,1)}
       106:{2,4,6,7}:{(77,1),(79,1),(82,1),(130,1),(173,1)}
       107:{1,2,4,6}:{(78,1),(79,1),(80,1),(83,1),(133,1)}
       108:{3,5,7}:{(80,1),(133,1),(134,1),(165,1)}
       109:{1,2,5,6,7}:{(81,1),(82,1),(83,1),(132,1),(138,1),(158,1)}
       110:{1,2,3,5,6}:{(83,1),(84,1),(85,1),(87,1),(94,1),(126,1),(133,1),(135,1),(139,1),(142,1),(159,1),(162,1),(165,1)}
       111:{1,2,4,7}:{(84,1),(86,1),(88,1),(134,1),(135,1),(166,1),(173,1)}
       112:{1,4,6}:{(85,1),(86,1),(89,1),(136,1)}
       113:{2,4,6}:{(87,1),(88,1),(89,1),(137,1)}
       114:{3,4,5}:{(89,1),(136,1),(137,1),(165,1)}
       115:{2,3,5,7}:{(90,1),(91,1),(130,1),(138,1),(163,1)}
       116:{1,2,5,6}:{(90,1),(92,1),(138,1),(139,1),(142,1)}
       117:{1,2,4,6,7}:{(91,1),(92,1),(138,1),(140,1),(166,1)}
       118:{1,3,6}:{(92,1),(93,1),(133,1)}
       119:{1,3,4,7}:{(93,1),(95,1),(134,1),(141,1),(166,1)}
       120:{1,2,4,6}:{(94,1),(95,1),(96,1),(141,1),(142,1)}
       121:{2,3,5}:{(96,1),(137,1),(142,1),(165,1)}
       122:{1,3,5,6}:{(97,1),(103,1),(143,1),(144,1),(149,1),(151,1)}
       123:{1,3,4,6,7}:{(97,1),(105,1),(143,1),(145,1),(152,1),(171,1)}
       124:{1,2,4,6}:{(97,1),(98,1),(144,1),(146,1),(169,1)}
       125:{2,3,5,7}:{(98,1),(108,1),(146,1),(147,1),(170,1)}
       126:{1,2,3,6}:{(99,1),(100,1),(146,1),(148,1)}
       127:{1,2,4,7}:{(99,1),(101,1),(147,1),(148,1)}
       128:{1,3,4,6}:{(100,1),(101,1),(112,1),(148,1),(149,1),(153,1)}
       129:{1,4,5,7}:{(102,1),(103,1),(105,1),(143,1)}
       130:{2,4,5,7}:{(102,1),(104,1),(106,1),(115,1)}
       131:{1,2,4,5,6}:{(103,1),(104,1),(107,1),(116,1),(144,1),(150,1),(151,1),(154,1),(156,1),(169,1)}
       132:{1,2,4,6,7}:{(105,1),(106,1),(107,1),(109,1),(150,1),(152,1)}
       133:{3,6}:{(107,1),(108,1)}
       134:{3,4,7}:{(108,1),(111,1),(153,1)}
       135:{1,2,4,6}:{(110,1),(111,1),(112,1),(113,1),(153,1),(154,1),(156,1),(169,1)}
       136:{1,4,5}:{(112,1),(114,1),(149,1)}
       137:{2,4,5}:{(113,1),(114,1),(121,1)}
       138:{1,2,5,7}:{(115,1),(116,1),(117,1),(155,1)}
       139:{1,3,5,6}:{(116,1),(118,1),(151,1),(155,1),(156,1),(157,1)}
       140:{1,3,6,7}:{(117,1),(118,1),(152,1),(155,1)}
       141:{1,3,4,6}:{(118,1),(119,1),(120,1),(153,1),(156,1),(157,1)}
       142:{1,2,5}:{(120,1),(121,1),(157,1)}
       143:{1,3,5,7}:{(122,1),(123,1),(129,1),(158,1),(163,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(158,1),(159,1),(162,1)}
       145:{1,2,4,6,7}:{(123,1),(124,1),(158,1),(160,1),(173,1)}
       146:{2,3,6}:{(124,1),(125,1),(133,1)}
       147:{2,3,4,7}:{(125,1),(127,1),(134,1),(161,1),(173,1)}
       148:{1,2,4,6}:{(126,1),(127,1),(128,1),(161,1),(162,1)}
       149:{1,3,5}:{(128,1),(136,1),(162,1),(165,1)}
       150:{1,2,4,5,7}:{(129,1),(130,1),(131,1),(132,1),(138,1),(158,1),(163,1),(166,1),(173,1)}
       151:{3,5,6}:{(131,1),(133,1),(163,1),(164,1),(165,1)}
       152:{3,6,7}:{(132,1),(133,1),(163,1)}
       153:{3,4,6}:{(133,1),(134,1),(135,1),(165,1)}
       154:{1,2,4,5}:{(135,1),(136,1),(137,1),(142,1),(162,1),(165,1),(167,1),(174,1)}
       155:{1,3,5,7}:{(138,1),(139,1),(140,1),(163,1),(166,1)}
       156:{1,4,6}:{(139,1),(164,1),(166,1),(167,1)}
       157:{1,3,5}:{(141,1),(142,1),(165,1),(167,1)}
       158:{1,2,5,7}:{(143,1),(144,1),(145,1),(168,1)}
       159:{2,3,5,6}:{(144,1),(146,1),(151,1),(168,1),(169,1),(170,1)}
       160:{2,3,6,7}:{(145,1),(146,1),(152,1),(168,1)}
       161:{2,3,4,6}:{(146,1),(147,1),(148,1),(153,1),(169,1),(170,1)}
       162:{1,2,5}:{(148,1),(149,1),(170,1)}
       163:{3,5,7}:{(150,1),(151,1),(152,1),(171,1)}
       164:{3,4,6}:{(151,1),(156,1),(169,1),(171,1),(172,1)}
       165:{3,5}:{(153,1),(154,1)}
       166:{1,4,7}:{(155,1),(156,1),(171,1)}
       167:{1,4,5}:{(156,1),(157,1),(172,1)}
       168:{2,3,5,7}:{(158,1),(159,1),(160,1),(163,1),(173,1)}
       169:{2,4,6}:{(159,1),(164,1),(173,1),(174,1)}
       170:{2,3,5}:{(161,1),(162,1),(165,1),(174,1)}
       171:{3,4,7}:{(163,1),(164,1),(166,1),(173,1)}
       172:{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)}

1821 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(19,1),(20,1),(21,1),(44,1),(76,1),(95,1),(96,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(114,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(16,1),(20,1),(124,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(14,1),(76,1),(100,1),(122,1)}
         4:{1,2,4,5,6}:{(2,1),(10,1),(26,1),(27,1),(31,1)}
         5:{3,5,7}:{(2,1),(3,1),(10,1),(132,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(59,1),(60,1),(88,1),(89,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(59,1),(60,1),(90,1),(91,1),(114,1)}
         8:{3,4,5,7}:{(5,1),(14,1),(15,1),(16,1),(43,1),(100,1),(101,1)}
         9:{1,2,4,5,6,7}:{(4,1),(17,1),(40,1),(41,1),(44,1),(67,1),(109,1)}
        10:{3,5,6}:{(4,1),(5,1),(14,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(15,1),(18,1),(20,1),(43,1),(105,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(16,1),(19,1),(20,1),(43,1),(107,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(42,1),(46,1),(103,1)}
        14:{3,4,6}:{(8,1),(10,1),(26,1),(27,1),(59,1)}
        15:{1,4,5,7}:{(8,1),(11,1),(26,1),(112,1),(113,1)}
        16:{2,4,5,7}:{(8,1),(12,1),(27,1),(114,1),(115,1)}
        17:{3,5,6,7}:{(9,1),(10,1),(25,1),(84,1),(121,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(26,1),(31,1),(59,1)}
        19:{2,3,5,6}:{(10,1),(12,1),(27,1),(31,1),(59,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(31,1),(118,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(59,1),(86,1),(88,1),(90,1)}
        22:{3,4,5,6}:{(14,1),(33,1),(34,1),(35,1),(68,1),(101,1),(127,1)}
        23:{2,3,4,5,7}:{(16,1),(36,1),(37,1),(43,1),(63,1),(75,1),(100,1),(101,1),(107,1),(126,1),(137,1)}
        24:{1,3,4,5,7}:{(15,1),(38,1),(39,1),(43,1),(65,1),(72,1),(100,1),(101,1),(105,1),(125,1),(137,1)}
        25:{3,4,6,7}:{(14,1),(17,1),(33,1),(40,1),(41,1),(76,1),(100,1),(127,1)}
        26:{1,4,6}:{(14,1),(15,1),(18,1)}
        27:{2,4,6}:{(14,1),(16,1),(19,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(20,1),(42,1),(43,1),(46,1),(79,1)}
        29:{1,3,5,6,7}:{(17,1),(18,1),(40,1),(44,1),(65,1),(76,1),(96,1),(129,1)}
        30:{2,3,5,6,7}:{(17,1),(19,1),(41,1),(44,1),(63,1),(76,1),(98,1),(130,1)}
        31:{1,2,5,6}:{(18,1),(19,1),(20,1),(42,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(46,1),(96,1),(98,1)}
        33:{3,4,5,7}:{(22,1),(25,1),(49,1),(50,1),(84,1)}
        34:{1,4,5,6}:{(22,1),(26,1),(48,1),(49,1),(113,1),(134,1)}
        35:{2,4,5,6}:{(22,1),(27,1),(47,1),(50,1),(115,1),(135,1)}
        36:{2,3,4,6}:{(23,1),(27,1),(47,1),(53,1),(59,1),(85,1),(135,1),(139,1)}
        37:{1,2,4,5,7}:{(23,1),(53,1),(54,1),(80,1),(87,1),(112,1),(113,1),(118,1)}
        38:{1,3,4,6}:{(24,1),(26,1),(48,1),(56,1),(59,1),(85,1),(134,1),(139,1)}
        39:{1,2,4,5,7}:{(24,1),(56,1),(57,1),(82,1),(87,1),(114,1),(115,1),(118,1)}
        40:{1,4,6,7}:{(25,1),(26,1),(29,1),(49,1),(112,1),(134,1)}
        41:{2,4,6,7}:{(25,1),(27,1),(30,1),(50,1),(114,1),(135,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(59,1)}
        43:{3,5,7}:{(28,1),(59,1),(60,1),(93,1)}
        44:{1,2,5,6,7}:{(29,1),(30,1),(31,1),(58,1),(80,1),(82,1),(136,1)}
        45:{1,2,3,5,6}:{(31,1),(32,1),(59,1),(62,1),(81,1),(83,1),(86,1),(93,1),(118,1)}
        46:{1,2,4,7}:{(32,1),(60,1),(62,1),(112,1),(114,1)}
        47:{2,3,5,6}:{(35,1),(36,1),(63,1),(64,1),(68,1),(107,1)}
        48:{1,3,5,6}:{(34,1),(38,1),(65,1),(66,1),(68,1),(105,1)}
        49:{1,4,5,7}:{(33,1),(34,1),(40,1),(65,1)}
        50:{2,4,5,7}:{(33,1),(35,1),(41,1),(63,1)}
        51:{1,2,4,5,6}:{(34,1),(35,1),(42,1),(64,1),(66,1),(67,1),(68,1),(79,1),(97,1),(99,1),(124,1),(138,1)}
        52:{2,3,4,6,7}:{(36,1),(41,1),(63,1),(70,1),(76,1),(100,1)}
        53:{1,2,4,6}:{(36,1),(37,1),(64,1),(71,1),(97,1)}
        54:{1,3,5,7}:{(37,1),(43,1),(71,1),(72,1),(105,1),(137,1)}
        55:{1,3,4,6,7}:{(38,1),(40,1),(65,1),(73,1),(76,1),(100,1)}
        56:{1,2,4,6}:{(38,1),(39,1),(66,1),(74,1),(99,1)}
        57:{2,3,5,7}:{(39,1),(43,1),(74,1),(75,1),(107,1),(137,1)}
        58:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(44,1),(67,1),(76,1),(138,1)}
        59:{3,6}:{(42,1),(43,1)}
        60:{3,4,7}:{(43,1),(46,1),(77,1)}
        61:{1,2,3,5,6,7}:{(44,1),(45,1),(76,1),(78,1),(96,1),(98,1),(102,1),(108,1),(128,1),(129,1),(130,1)}
        62:{1,2,4,6}:{(45,1),(46,1),(77,1),(79,1),(97,1),(99,1)}
        63:{2,3,5,7}:{(47,1),(50,1),(52,1),(80,1),(84,1)}
        64:{1,2,5,6}:{(47,1),(53,1),(80,1),(81,1),(118,1)}
        65:{1,3,5,7}:{(48,1),(49,1),(55,1),(82,1),(84,1)}
        66:{1,2,5,6}:{(48,1),(56,1),(82,1),(83,1),(118,1)}
        67:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(58,1),(80,1),(82,1),(84,1),(112,1),(114,1)}
        68:{3,5,6}:{(51,1),(59,1),(84,1),(85,1),(93,1),(132,1),(139,1)}
        69:{1,2,3,5,7}:{(54,1),(57,1),(86,1),(87,1),(118,1)}
        70:{1,2,4,6,7}:{(52,1),(53,1),(80,1),(88,1),(112,1)}
        71:{1,3,6}:{(53,1),(54,1),(59,1),(139,1)}
        72:{1,3,4,7}:{(54,1),(60,1),(87,1),(89,1),(112,1),(131,1)}
        73:{1,2,4,6,7}:{(55,1),(56,1),(82,1),(90,1),(114,1)}
        74:{2,3,6}:{(56,1),(57,1),(59,1),(139,1)}
        75:{2,3,4,7}:{(57,1),(60,1),(87,1),(91,1),(114,1),(131,1)}
        76:{3,6,7}:{(58,1),(59,1),(84,1),(139,1)}
        77:{3,4,6}:{(59,1),(60,1),(62,1),(93,1)}
        78:{1,2,4,6,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(114,1),(134,1),(135,1)}
        79:{1,2,4,5}:{(62,1),(93,1),(113,1),(115,1),(118,1)}
        80:{1,2,5,7}:{(63,1),(64,1),(70,1),(96,1)}
        81:{1,3,5,6}:{(64,1),(68,1),(71,1),(96,1),(97,1),(105,1)}
        82:{1,2,5,7}:{(65,1),(66,1),(73,1),(98,1)}
        83:{2,3,5,6}:{(66,1),(68,1),(74,1),(98,1),(99,1),(107,1)}
        84:{3,5,7}:{(67,1),(68,1),(76,1),(100,1)}
        85:{3,4,6}:{(68,1),(97,1),(99,1),(100,1),(101,1)}
        86:{1,2,3,6}:{(69,1),(71,1),(74,1),(103,1)}
        87:{1,2,4,7}:{(69,1),(72,1),(75,1),(103,1)}
        88:{1,3,6,7}:{(70,1),(71,1),(76,1),(96,1)}
        89:{1,3,4,6}:{(71,1),(72,1),(77,1),(97,1),(103,1),(105,1),(122,1)}
        90:{2,3,6,7}:{(73,1),(74,1),(76,1),(98,1)}
        91:{2,3,4,6}:{(74,1),(75,1),(77,1),(99,1),(103,1),(107,1),(122,1)}
        92:{3,4,6,7}:{(76,1),(77,1),(78,1),(100,1),(108,1),(127,1)}
        93:{3,5}:{(77,1),(79,1)}
        94:{1,2,4,5,7}:{(78,1),(79,1),(108,1),(109,1),(125,1),(126,1),(128,1)}
        95:{1,2,3,5,6}:{(81,1),(83,1),(86,1),(110,1),(111,1),(118,1),(132,1),(136,1),(139,1)}
        96:{1,3,5,7}:{(80,1),(81,1),(84,1),(88,1),(112,1)}
        97:{1,4,6}:{(81,1),(85,1),(112,1),(113,1)}
        98:{2,3,5,7}:{(82,1),(83,1),(84,1),(90,1),(114,1)}
        99:{2,4,6}:{(83,1),(85,1),(114,1),(115,1)}
       100:{3,4,7}:{(84,1),(85,1),(112,1),(114,1)}
       101:{3,4,5}:{(85,1),(93,1),(113,1),(115,1),(132,1)}
       102:{1,2,3,6,7}:{(86,1),(88,1),(90,1),(110,1),(117,1),(139,1)}
       103:{1,2,4,6}:{(86,1),(87,1),(89,1),(91,1),(118,1)}
       104:{1,3,4,6,7}:{(88,1),(89,1),(92,1),(112,1),(117,1),(119,1),(131,1),(134,1),(139,1)}
       105:{1,3,5}:{(89,1),(93,1),(113,1),(118,1),(132,1)}
       106:{2,3,4,6,7}:{(90,1),(91,1),(92,1),(114,1),(117,1),(120,1),(131,1),(135,1),(139,1)}
       107:{2,3,5}:{(91,1),(93,1),(115,1),(118,1),(132,1)}
       108:{3,5,7}:{(92,1),(93,1),(94,1),(121,1)}
       109:{1,2,4,5,6}:{(94,1),(121,1),(134,1),(135,1),(136,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(102,1),(123,1),(128,1),(137,1)}
       111:{1,2,4,6}:{(95,1),(97,1),(99,1),(122,1),(123,1),(124,1)}
       112:{1,4,7}:{(96,1),(97,1),(100,1)}
       113:{1,4,5}:{(97,1),(101,1),(105,1)}
       114:{2,4,7}:{(98,1),(99,1),(100,1)}
       115:{2,4,5}:{(99,1),(101,1),(107,1)}
       116:{3,4,5,7}:{(100,1),(101,1),(108,1),(125,1),(126,1),(127,1),(137,1)}
       117:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(106,1),(123,1),(128,1),(138,1)}
       118:{1,2,5}:{(103,1),(105,1),(107,1)}
       119:{1,3,5,7}:{(104,1),(105,1),(108,1),(125,1),(128,1),(129,1),(137,1)}
       120:{2,3,5,7}:{(106,1),(107,1),(108,1),(126,1),(128,1),(130,1),(137,1)}
       121:{3,5,6}:{(108,1),(109,1),(127,1)}
       122:{3,4,6}:{(111,1),(131,1),(132,1),(139,1)}
       123:{1,2,4,7}:{(110,1),(111,1),(112,1),(114,1),(131,1)}
       124:{1,2,4,5}:{(111,1),(113,1),(115,1),(118,1),(132,1)}
       125:{1,4,5,7}:{(112,1),(113,1),(116,1),(119,1),(134,1)}
       126:{2,4,5,7}:{(114,1),(115,1),(116,1),(120,1),(135,1)}
       127:{3,4,6}:{(116,1),(121,1),(134,1),(135,1),(139,1)}
       128:{1,2,5,7}:{(117,1),(118,1),(119,1),(120,1),(136,1)}
       129:{1,3,5,6}:{(119,1),(121,1),(134,1),(136,1),(139,1)}
       130:{2,3,5,6}:{(120,1),(121,1),(135,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(137,1)}
       132:{3,5}:{(122,1),(124,1)}
       133:{1,2,4,5,7}:{(123,1),(124,1),(125,1),(126,1),(128,1),(137,1),(138,1)}
       134:{1,4,6}:{(125,1),(127,1),(129,1)}
       135:{2,4,6}:{(126,1),(127,1),(130,1)}
       136:{1,2,5,6}:{(128,1),(129,1),(130,1),(138,1)}
       137:{3,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       138:{1,2,4,6}:{(133,1),(134,1),(135,1),(136,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1822 :   0:{3,4,5,6}:{(3,1),(4,1),(5,1),(34,1),(77,1),(116,1),(140,1)}
         1:{2,3,4,5}:{(6,1),(7,1),(41,1),(77,1),(83,1)}
         2:{1,3,4,5}:{(8,1),(9,1),(38,1),(77,1),(81,1)}
         3:{3,4,5,7}:{(0,1),(14,1),(15,1),(16,1),(55,1),(130,1)}
         4:{1,4,5,6}:{(0,1),(12,1),(15,1),(92,1),(127,1)}
         5:{2,4,5,6}:{(0,1),(11,1),(16,1),(95,1),(129,1)}
         6:{2,3,4,6}:{(1,1),(11,1),(18,1),(19,1),(56,1)}
         7:{1,2,4,5}:{(1,1),(19,1),(20,1),(58,1),(92,1),(100,1)}
         8:{1,3,4,6}:{(2,1),(12,1),(21,1),(22,1),(56,1)}
         9:{1,2,4,5}:{(2,1),(22,1),(23,1),(58,1),(95,1),(100,1)}
        10:{1,2,3,5,6}:{(24,1),(25,1),(48,1),(51,1),(57,1),(64,1),(100,1),(104,1),(105,1),(132,1)}
        11:{2,3,5,6}:{(5,1),(6,1),(26,1),(27,1),(34,1),(83,1),(119,1)}
        12:{1,3,5,6}:{(4,1),(8,1),(28,1),(29,1),(34,1),(81,1),(118,1)}
        13:{4,5,6,7}:{(30,1),(114,1),(140,1)}
        14:{3,4,6,7}:{(3,1),(30,1),(31,1),(32,1),(75,1),(114,1),(116,1)}
        15:{1,4,5,7}:{(3,1),(4,1),(28,1),(31,1)}
        16:{2,4,5,7}:{(3,1),(5,1),(26,1),(32,1)}
        17:{1,2,4,5,6}:{(4,1),(5,1),(27,1),(29,1),(33,1),(34,1),(45,1),(70,1),(73,1),(87,1),(109,1),(137,1),(138,1),(139,1),(140,1)}
        18:{2,3,4,7}:{(6,1),(26,1),(36,1),(76,1)}
        19:{1,2,4,6}:{(6,1),(7,1),(27,1),(36,1),(37,1),(70,1)}
        20:{1,3,5}:{(7,1),(37,1),(38,1)}
        21:{1,3,4,7}:{(8,1),(28,1),(39,1),(76,1)}
        22:{1,2,4,6}:{(8,1),(9,1),(29,1),(39,1),(40,1),(73,1)}
        23:{2,3,5}:{(9,1),(40,1),(41,1)}
        24:{1,2,3,5,7}:{(10,1),(43,1),(44,1),(69,1),(72,1),(78,1),(85,1),(86,1),(117,1)}
        25:{1,2,4,6}:{(10,1),(42,1),(44,1),(45,1),(70,1),(73,1)}
        26:{2,3,5,7}:{(11,1),(16,1),(18,1),(46,1),(47,1),(55,1)}
        27:{1,2,5,6}:{(11,1),(19,1),(47,1),(48,1),(100,1),(132,1)}
        28:{1,3,5,7}:{(12,1),(15,1),(21,1),(49,1),(50,1),(55,1)}
        29:{1,2,5,6}:{(12,1),(22,1),(50,1),(51,1),(100,1),(132,1)}
        30:{3,5,6,7}:{(13,1),(14,1),(52,1),(53,1),(131,1)}
        31:{1,4,6,7}:{(14,1),(15,1),(49,1),(52,1),(127,1)}
        32:{2,4,6,7}:{(14,1),(16,1),(46,1),(53,1),(129,1)}
        33:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(47,1),(50,1),(54,1),(55,1),(91,1),(94,1),(126,1),(128,1),(130,1)}
        34:{3,5,6}:{(17,1),(55,1),(56,1),(64,1),(104,1),(123,1),(142,1)}
        35:{1,2,3,5}:{(20,1),(23,1),(57,1),(58,1),(100,1)}
        36:{1,2,4,7}:{(18,1),(19,1),(47,1),(59,1),(91,1)}
        37:{1,3,6}:{(19,1),(20,1),(59,1)}
        38:{1,3,4}:{(20,1),(58,1)}
        39:{1,2,4,7}:{(21,1),(22,1),(50,1),(61,1),(94,1)}
        40:{2,3,6}:{(22,1),(23,1),(61,1)}
        41:{2,3,4}:{(23,1),(58,1)}
        42:{3,4,6}:{(25,1),(63,1),(64,1),(104,1)}
        43:{1,2,3,6,7}:{(24,1),(65,1),(90,1),(93,1),(104,1),(132,1)}
        44:{1,2,4,7}:{(24,1),(25,1),(63,1),(91,1),(94,1)}
        45:{1,2,4,5}:{(25,1),(64,1),(92,1),(95,1),(100,1)}
        46:{2,3,6,7}:{(26,1),(32,1),(68,1),(75,1),(119,1)}
        47:{1,2,5,7}:{(26,1),(27,1),(36,1),(68,1),(69,1)}
        48:{1,3,5,6}:{(27,1),(34,1),(37,1),(69,1),(70,1),(81,1),(118,1),(138,1)}
        49:{1,3,6,7}:{(28,1),(31,1),(71,1),(75,1),(118,1)}
        50:{1,2,5,7}:{(28,1),(29,1),(39,1),(71,1),(72,1)}
        51:{2,3,5,6}:{(29,1),(34,1),(40,1),(72,1),(73,1),(83,1),(119,1),(139,1)}
        52:{1,5,6,7}:{(30,1),(31,1),(138,1)}
        53:{2,5,6,7}:{(30,1),(32,1),(139,1)}
        54:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(68,1),(71,1),(74,1),(75,1),(87,1),(110,1),(112,1),(114,1),(137,1)}
        55:{3,5,7}:{(33,1),(34,1),(75,1),(76,1)}
        56:{3,4,6}:{(34,1),(70,1),(73,1),(76,1),(77,1)}
        57:{1,2,3,6}:{(35,1),(37,1),(40,1),(78,1),(79,1)}
        58:{1,2,4}:{(35,1),(38,1),(41,1)}
        59:{1,3,7}:{(36,1),(37,1)}
        60:{1,3,4,6}:{(37,1),(38,1),(42,1),(70,1),(79,1),(80,1),(81,1),(106,1),(118,1)}
        61:{2,3,7}:{(39,1),(40,1)}
        62:{2,3,4,6}:{(40,1),(41,1),(42,1),(73,1),(79,1),(82,1),(83,1),(106,1),(119,1)}
        63:{3,4,7}:{(42,1),(44,1),(85,1)}
        64:{3,5}:{(42,1),(45,1)}
        65:{1,2,4,6,7}:{(43,1),(44,1),(84,1),(86,1),(87,1),(110,1),(112,1)}
        66:{1,2,4,5,7}:{(44,1),(45,1),(85,1),(86,1),(87,1),(111,1),(113,1),(117,1),(120,1)}
        67:{1,2,3,5,6}:{(48,1),(51,1),(57,1),(88,1),(89,1),(100,1),(123,1),(132,1),(142,1),(143,1)}
        68:{1,2,6,7}:{(46,1),(47,1),(90,1),(132,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(55,1),(59,1),(90,1),(91,1),(126,1)}
        70:{1,4,6}:{(48,1),(56,1),(91,1),(92,1)}
        71:{1,2,6,7}:{(49,1),(50,1),(93,1),(132,1)}
        72:{2,3,5,7}:{(50,1),(51,1),(55,1),(61,1),(93,1),(94,1),(128,1)}
        73:{2,4,6}:{(51,1),(56,1),(94,1),(95,1)}
        74:{1,2,5,6,7}:{(52,1),(53,1),(54,1),(96,1),(105,1),(126,1),(128,1),(143,1)}
        75:{3,6,7}:{(54,1),(55,1),(104,1),(142,1)}
        76:{3,4,7}:{(55,1),(56,1),(91,1),(94,1)}
        77:{3,4,5}:{(56,1),(64,1),(92,1),(95,1),(123,1)}
        78:{1,2,3,7}:{(57,1),(59,1),(61,1),(99,1)}
        79:{1,2,4,6}:{(57,1),(58,1),(60,1),(62,1),(99,1),(100,1),(132,1)}
        80:{1,3,4,7}:{(59,1),(60,1),(63,1),(91,1),(99,1),(101,1),(122,1)}
        81:{1,3,5}:{(60,1),(64,1),(92,1),(100,1),(123,1)}
        82:{2,3,4,7}:{(61,1),(62,1),(63,1),(94,1),(99,1),(102,1),(122,1)}
        83:{2,3,5}:{(62,1),(64,1),(95,1),(100,1),(123,1)}
        84:{3,4,6,7}:{(63,1),(65,1),(103,1),(104,1),(133,1)}
        85:{3,5,7}:{(63,1),(64,1),(66,1),(104,1)}
        86:{1,2,5,7}:{(65,1),(103,1),(105,1),(126,1),(128,1)}
        87:{1,2,4,6}:{(66,1),(104,1),(105,1),(127,1),(129,1),(132,1),(133,1)}
        88:{1,2,3,5,7}:{(67,1),(69,1),(72,1),(78,1),(107,1),(108,1),(117,1),(135,1),(136,1)}
        89:{1,2,4,6}:{(67,1),(70,1),(73,1),(106,1),(108,1),(109,1)}
        90:{1,3,6,7}:{(68,1),(69,1),(75,1),(110,1),(118,1)}
        91:{1,4,7}:{(69,1),(70,1),(76,1)}
        92:{1,4,5}:{(70,1),(77,1),(81,1)}
        93:{2,3,6,7}:{(71,1),(72,1),(75,1),(112,1),(119,1)}
        94:{2,4,7}:{(72,1),(73,1),(76,1)}
        95:{2,4,5}:{(73,1),(77,1),(83,1)}
        96:{3,5,6,7}:{(74,1),(75,1),(114,1),(115,1),(121,1),(145,1)}
        97:{3,4,6,7}:{(75,1),(76,1),(110,1),(112,1),(114,1),(115,1),(116,1)}
        98:{3,4,5,7}:{(76,1),(77,1),(85,1),(111,1),(113,1),(115,1),(116,1),(120,1),(135,1),(144,1)}
        99:{1,2,4,7}:{(78,1),(79,1),(80,1),(82,1),(117,1)}
       100:{1,2,5}:{(79,1),(81,1),(83,1)}
       101:{1,3,5,7}:{(80,1),(81,1),(85,1),(111,1),(117,1),(118,1),(135,1)}
       102:{2,3,5,7}:{(82,1),(83,1),(85,1),(113,1),(117,1),(119,1),(135,1)}
       103:{3,5,7}:{(84,1),(86,1),(120,1),(121,1)}
       104:{3,6}:{(85,1),(87,1)}
       105:{1,2,5,6}:{(86,1),(87,1),(121,1),(138,1),(139,1)}
       106:{3,4,6}:{(89,1),(122,1),(123,1),(142,1)}
       107:{1,2,3,6,7}:{(88,1),(90,1),(93,1),(124,1),(132,1),(142,1)}
       108:{1,2,4,7}:{(88,1),(89,1),(91,1),(94,1),(122,1)}
       109:{1,2,4,5}:{(89,1),(92,1),(95,1),(100,1),(123,1)}
       110:{1,4,6,7}:{(90,1),(91,1),(97,1),(126,1),(127,1)}
       111:{1,4,5,7}:{(91,1),(92,1),(98,1),(101,1),(126,1),(127,1)}
       112:{2,4,6,7}:{(93,1),(94,1),(97,1),(128,1),(129,1)}
       113:{2,4,5,7}:{(94,1),(95,1),(98,1),(102,1),(128,1),(129,1)}
       114:{4,6,7}:{(96,1),(130,1),(133,1),(146,1)}
       115:{3,5,7}:{(97,1),(126,1),(128,1),(130,1),(131,1)}
       116:{3,4,6}:{(98,1),(104,1),(127,1),(129,1),(131,1),(133,1),(142,1),(146,1)}
       117:{1,2,5,7}:{(99,1),(100,1),(101,1),(102,1),(132,1)}
       118:{1,3,6}:{(101,1),(104,1),(127,1),(132,1),(142,1)}
       119:{2,3,6}:{(102,1),(104,1),(129,1),(132,1),(142,1)}
       120:{4,5,7}:{(103,1),(133,1)}
       121:{3,5,6}:{(103,1),(104,1),(105,1),(133,1)}
       122:{3,4,7}:{(106,1),(108,1),(135,1)}
       123:{3,5}:{(106,1),(109,1)}
       124:{1,2,4,6,7}:{(107,1),(108,1),(110,1),(112,1),(134,1),(136,1),(137,1)}
       125:{1,2,4,5,7}:{(108,1),(109,1),(111,1),(113,1),(117,1),(135,1),(136,1),(137,1),(144,1)}
       126:{1,5,7}:{(110,1),(115,1),(138,1)}
       127:{1,4,6}:{(111,1),(116,1),(118,1),(138,1)}
       128:{2,5,7}:{(112,1),(115,1),(139,1)}
       129:{2,4,6}:{(113,1),(116,1),(119,1),(139,1)}
       130:{4,5,7}:{(114,1),(115,1),(140,1)}
       131:{3,5,6}:{(115,1),(116,1),(138,1),(139,1),(140,1)}
       132:{1,2,6}:{(117,1),(118,1),(119,1)}
       133:{4,6}:{(120,1),(121,1)}
       134:{3,4,6,7}:{(122,1),(124,1),(141,1),(142,1),(146,1)}
       135:{3,5,7}:{(122,1),(123,1),(125,1),(142,1)}
       136:{1,2,5,7}:{(124,1),(126,1),(128,1),(141,1),(143,1)}
       137:{1,2,4,6}:{(125,1),(127,1),(129,1),(132,1),(142,1),(143,1),(146,1)}
       138:{1,5,6}:{(126,1),(127,1),(131,1)}
       139:{2,5,6}:{(128,1),(129,1),(131,1)}
       140:{4,5,6}:{(130,1),(131,1),(133,1),(146,1)}
       141:{3,5,7}:{(134,1),(136,1),(144,1),(145,1)}
       142:{3,6}:{(135,1),(137,1)}
       143:{1,2,5,6}:{(136,1),(137,1),(138,1),(139,1),(145,1)}
       144:{4,5,7}:{(141,1),(146,1)}
       145:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

1823 :   0:{4,5,6,7}:{(4,1),(76,1),(115,1)}
         1:{3,4,5,6}:{(5,1),(6,1),(7,1),(40,1),(85,1),(115,1),(119,1)}
         2:{1,3,4,5}:{(9,1),(12,1),(51,1),(85,1),(93,1)}
         3:{2,3,4,5}:{(10,1),(13,1),(50,1),(85,1),(92,1)}
         4:{3,5,6,7}:{(0,1),(14,1),(15,1),(16,1),(128,1)}
         5:{3,4,5,7}:{(1,1),(14,1),(17,1),(18,1),(58,1),(97,1)}
         6:{1,4,5,6}:{(1,1),(17,1),(19,1),(105,1),(132,1)}
         7:{2,4,5,6}:{(1,1),(18,1),(20,1),(104,1),(131,1)}
         8:{1,2,3,6,7}:{(24,1),(25,1),(94,1),(95,1),(109,1),(134,1)}
         9:{1,3,4,6}:{(2,1),(19,1),(22,1),(26,1),(62,1)}
        10:{2,3,4,6}:{(3,1),(20,1),(23,1),(27,1),(62,1)}
        11:{1,2,3,5,6}:{(24,1),(28,1),(60,1),(61,1),(67,1),(68,1),(71,1),(109,1),(110,1),(134,1)}
        12:{1,2,4,5}:{(2,1),(26,1),(29,1),(72,1),(104,1),(110,1)}
        13:{1,2,4,5}:{(3,1),(27,1),(30,1),(72,1),(105,1),(110,1)}
        14:{3,4,6,7}:{(4,1),(5,1),(31,1),(32,1),(75,1),(76,1),(119,1)}
        15:{1,5,6,7}:{(4,1),(31,1),(138,1)}
        16:{2,5,6,7}:{(4,1),(32,1),(137,1)}
        17:{1,4,5,7}:{(5,1),(6,1),(31,1),(34,1)}
        18:{2,4,5,7}:{(5,1),(7,1),(32,1),(35,1)}
        19:{1,3,5,6}:{(6,1),(9,1),(34,1),(38,1),(40,1),(93,1),(124,1)}
        20:{2,3,5,6}:{(7,1),(10,1),(35,1),(39,1),(40,1),(92,1),(123,1)}
        21:{1,2,4,5,6}:{(6,1),(7,1),(36,1),(38,1),(39,1),(40,1),(48,1),(83,1),(84,1),(90,1),(115,1),(121,1),(137,1),(138,1),(140,1)}
        22:{1,3,4,7}:{(9,1),(34,1),(41,1),(79,1)}
        23:{2,3,4,7}:{(10,1),(35,1),(42,1),(79,1)}
        24:{1,2,3,5,7}:{(8,1),(11,1),(43,1),(44,1),(77,1),(78,1),(86,1),(89,1),(122,1)}
        25:{1,2,4,6,7}:{(8,1),(37,1),(43,1),(44,1),(90,1),(112,1),(113,1)}
        26:{1,2,4,6}:{(9,1),(12,1),(38,1),(41,1),(45,1),(83,1)}
        27:{1,2,4,6}:{(10,1),(13,1),(39,1),(42,1),(46,1),(84,1)}
        28:{1,2,4,6}:{(11,1),(43,1),(47,1),(48,1),(83,1),(84,1)}
        29:{2,3,5}:{(12,1),(45,1),(50,1)}
        30:{1,3,5}:{(13,1),(46,1),(51,1)}
        31:{1,4,6,7}:{(14,1),(15,1),(17,1),(52,1),(132,1)}
        32:{2,4,6,7}:{(14,1),(16,1),(18,1),(53,1),(131,1)}
        33:{1,2,5,6,7}:{(15,1),(16,1),(54,1),(55,1),(67,1),(126,1),(127,1),(142,1)}
        34:{1,3,5,7}:{(17,1),(19,1),(22,1),(52,1),(56,1),(58,1)}
        35:{2,3,5,7}:{(18,1),(20,1),(23,1),(53,1),(57,1),(58,1)}
        36:{1,2,4,5,7}:{(17,1),(18,1),(21,1),(54,1),(56,1),(57,1),(58,1),(97,1),(99,1),(100,1),(126,1),(127,1)}
        37:{3,4,6,7}:{(25,1),(59,1),(65,1),(102,1),(109,1)}
        38:{1,2,5,6}:{(19,1),(26,1),(56,1),(60,1),(110,1),(134,1)}
        39:{1,2,5,6}:{(20,1),(27,1),(57,1),(61,1),(110,1),(134,1)}
        40:{3,5,6}:{(21,1),(58,1),(62,1),(71,1),(109,1),(133,1),(143,1)}
        41:{1,2,4,7}:{(22,1),(26,1),(56,1),(63,1),(99,1)}
        42:{1,2,4,7}:{(23,1),(27,1),(57,1),(64,1),(100,1)}
        43:{1,2,4,7}:{(24,1),(28,1),(65,1),(99,1),(100,1)}
        44:{1,2,5,7}:{(25,1),(59,1),(67,1),(126,1),(127,1)}
        45:{2,3,6}:{(26,1),(29,1),(63,1)}
        46:{1,3,6}:{(27,1),(30,1),(64,1)}
        47:{3,4,6}:{(28,1),(65,1),(71,1),(109,1)}
        48:{1,2,4,5}:{(28,1),(71,1),(104,1),(105,1),(110,1)}
        49:{1,2,3,5}:{(29,1),(30,1),(68,1),(72,1),(110,1)}
        50:{2,3,4}:{(29,1),(72,1)}
        51:{1,3,4}:{(30,1),(72,1)}
        52:{1,3,6,7}:{(31,1),(34,1),(73,1),(75,1),(124,1)}
        53:{2,3,6,7}:{(32,1),(35,1),(74,1),(75,1),(123,1)}
        54:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(36,1),(73,1),(74,1),(75,1),(76,1),(90,1),(112,1),(113,1),(140,1)}
        55:{3,5,6,7}:{(33,1),(75,1),(76,1),(81,1),(114,1),(145,1)}
        56:{1,2,5,7}:{(34,1),(38,1),(41,1),(73,1),(77,1)}
        57:{1,2,5,7}:{(35,1),(39,1),(42,1),(74,1),(78,1)}
        58:{3,5,7}:{(36,1),(40,1),(75,1),(79,1)}
        59:{3,5,7}:{(37,1),(44,1),(80,1),(81,1)}
        60:{2,3,5,6}:{(38,1),(40,1),(45,1),(77,1),(83,1),(92,1),(123,1),(137,1)}
        61:{1,3,5,6}:{(39,1),(40,1),(46,1),(78,1),(84,1),(93,1),(124,1),(138,1)}
        62:{3,4,6}:{(40,1),(79,1),(83,1),(84,1),(85,1)}
        63:{2,3,7}:{(41,1),(45,1)}
        64:{1,3,7}:{(42,1),(46,1)}
        65:{3,4,7}:{(43,1),(47,1),(89,1)}
        66:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(80,1),(89,1),(90,1),(117,1),(118,1),(122,1)}
        67:{1,2,5,6}:{(44,1),(81,1),(90,1),(137,1),(138,1)}
        68:{1,2,3,6}:{(45,1),(46,1),(49,1),(86,1),(91,1)}
        69:{2,3,4,6}:{(45,1),(47,1),(50,1),(83,1),(87,1),(91,1),(92,1),(120,1),(123,1)}
        70:{1,3,4,6}:{(46,1),(47,1),(51,1),(84,1),(88,1),(91,1),(93,1),(120,1),(124,1)}
        71:{3,5}:{(47,1),(48,1)}
        72:{1,2,4}:{(49,1),(50,1),(51,1)}
        73:{1,2,6,7}:{(52,1),(56,1),(94,1),(134,1)}
        74:{1,2,6,7}:{(53,1),(57,1),(95,1),(134,1)}
        75:{3,6,7}:{(54,1),(58,1),(109,1),(143,1)}
        76:{4,6,7}:{(55,1),(97,1),(102,1),(146,1)}
        77:{2,3,5,7}:{(56,1),(58,1),(60,1),(63,1),(94,1),(99,1),(126,1)}
        78:{1,3,5,7}:{(57,1),(58,1),(61,1),(64,1),(95,1),(100,1),(127,1)}
        79:{3,4,7}:{(58,1),(62,1),(99,1),(100,1)}
        80:{4,5,7}:{(59,1),(102,1)}
        81:{3,5,6}:{(59,1),(67,1),(102,1),(109,1)}
        82:{1,2,3,5,6}:{(60,1),(61,1),(68,1),(98,1),(103,1),(110,1),(133,1),(134,1),(142,1),(143,1)}
        83:{2,4,6}:{(60,1),(62,1),(99,1),(104,1)}
        84:{1,4,6}:{(61,1),(62,1),(100,1),(105,1)}
        85:{3,4,5}:{(62,1),(71,1),(104,1),(105,1),(133,1)}
        86:{1,2,3,7}:{(63,1),(64,1),(68,1),(106,1)}
        87:{2,3,4,7}:{(63,1),(65,1),(69,1),(99,1),(106,1),(107,1),(129,1)}
        88:{1,3,4,7}:{(64,1),(65,1),(70,1),(100,1),(106,1),(108,1),(129,1)}
        89:{3,5,7}:{(65,1),(66,1),(71,1),(109,1)}
        90:{1,2,4,6}:{(66,1),(67,1),(102,1),(109,1),(131,1),(132,1),(134,1)}
        91:{1,2,4,6}:{(68,1),(69,1),(70,1),(72,1),(106,1),(110,1),(134,1)}
        92:{2,3,5}:{(69,1),(71,1),(104,1),(110,1),(133,1)}
        93:{1,3,5}:{(70,1),(71,1),(105,1),(110,1),(133,1)}
        94:{2,3,6,7}:{(73,1),(75,1),(77,1),(112,1),(123,1)}
        95:{1,3,6,7}:{(74,1),(75,1),(78,1),(113,1),(124,1)}
        96:{3,4,6,7}:{(75,1),(76,1),(79,1),(112,1),(113,1),(114,1),(119,1)}
        97:{4,5,7}:{(76,1),(114,1),(115,1)}
        98:{1,2,3,5,7}:{(77,1),(78,1),(82,1),(86,1),(111,1),(116,1),(122,1),(136,1),(139,1)}
        99:{2,4,7}:{(77,1),(79,1),(83,1)}
       100:{1,4,7}:{(78,1),(79,1),(84,1)}
       101:{3,4,5,7}:{(79,1),(80,1),(85,1),(89,1),(114,1),(117,1),(118,1),(119,1),(139,1),(144,1)}
       102:{4,6}:{(80,1),(81,1)}
       103:{1,2,4,6}:{(82,1),(83,1),(84,1),(116,1),(120,1),(121,1)}
       104:{2,4,5}:{(83,1),(85,1),(92,1)}
       105:{1,4,5}:{(84,1),(85,1),(93,1)}
       106:{1,2,4,7}:{(86,1),(87,1),(88,1),(91,1),(122,1)}
       107:{2,3,5,7}:{(87,1),(89,1),(92,1),(117,1),(122,1),(123,1),(139,1)}
       108:{1,3,5,7}:{(88,1),(89,1),(93,1),(118,1),(122,1),(124,1),(139,1)}
       109:{3,6}:{(89,1),(90,1)}
       110:{1,2,5}:{(91,1),(92,1),(93,1)}
       111:{1,2,3,6,7}:{(94,1),(95,1),(98,1),(125,1),(134,1),(143,1)}
       112:{2,4,6,7}:{(94,1),(96,1),(99,1),(126,1),(131,1)}
       113:{1,4,6,7}:{(95,1),(96,1),(100,1),(127,1),(132,1)}
       114:{3,5,7}:{(96,1),(97,1),(126,1),(127,1),(128,1)}
       115:{4,5,6}:{(97,1),(102,1),(128,1),(146,1)}
       116:{1,2,4,7}:{(98,1),(99,1),(100,1),(103,1),(129,1)}
       117:{2,4,5,7}:{(99,1),(101,1),(104,1),(107,1),(126,1),(131,1)}
       118:{1,4,5,7}:{(100,1),(101,1),(105,1),(108,1),(127,1),(132,1)}
       119:{3,4,6}:{(101,1),(102,1),(109,1),(128,1),(131,1),(132,1),(143,1),(146,1)}
       120:{3,4,6}:{(103,1),(129,1),(133,1),(143,1)}
       121:{1,2,4,5}:{(103,1),(104,1),(105,1),(110,1),(133,1)}
       122:{1,2,5,7}:{(106,1),(107,1),(108,1),(110,1),(134,1)}
       123:{2,3,6}:{(107,1),(109,1),(131,1),(134,1),(143,1)}
       124:{1,3,6}:{(108,1),(109,1),(132,1),(134,1),(143,1)}
       125:{1,2,4,6,7}:{(111,1),(112,1),(113,1),(116,1),(135,1),(136,1),(140,1)}
       126:{2,5,7}:{(112,1),(114,1),(137,1)}
       127:{1,5,7}:{(113,1),(114,1),(138,1)}
       128:{3,5,6}:{(114,1),(115,1),(119,1),(137,1),(138,1)}
       129:{3,4,7}:{(116,1),(120,1),(139,1)}
       130:{1,2,4,5,7}:{(116,1),(117,1),(118,1),(121,1),(122,1),(136,1),(139,1),(140,1),(144,1)}
       131:{2,4,6}:{(117,1),(119,1),(123,1),(137,1)}
       132:{1,4,6}:{(118,1),(119,1),(124,1),(138,1)}
       133:{3,5}:{(120,1),(121,1)}
       134:{1,2,6}:{(122,1),(123,1),(124,1)}
       135:{3,4,6,7}:{(125,1),(129,1),(141,1),(143,1),(146,1)}
       136:{1,2,5,7}:{(125,1),(126,1),(127,1),(141,1),(142,1)}
       137:{2,5,6}:{(126,1),(128,1),(131,1)}
       138:{1,5,6}:{(127,1),(128,1),(132,1)}
       139:{3,5,7}:{(129,1),(130,1),(133,1),(143,1)}
       140:{1,2,4,6}:{(130,1),(131,1),(132,1),(134,1),(142,1),(143,1),(146,1)}
       141:{3,5,7}:{(135,1),(136,1),(144,1),(145,1)}
       142:{1,2,5,6}:{(136,1),(137,1),(138,1),(140,1),(145,1)}
       143:{3,6}:{(139,1),(140,1)}
       144:{4,5,7}:{(141,1),(146,1)}
       145:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

1824 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(78,1),(79,1),(80,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(13,1),(14,1),(17,1),(41,1),(47,1),(48,1),(49,1),(78,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(21,1),(24,1),(58,1),(68,1),(69,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(93,1),(94,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(64,1),(65,1)}
         5:{3,4,6,7}:{(3,1),(10,1),(11,1),(36,1),(41,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(11,1),(83,1),(84,1)}
         7:{1,2,5,7}:{(3,1),(10,1),(13,1),(100,1),(101,1)}
         8:{3,4,6}:{(4,1),(11,1),(17,1),(41,1)}
         9:{1,2,4,5}:{(4,1),(17,1),(44,1),(45,1),(47,1)}
        10:{3,5,7}:{(5,1),(7,1),(19,1),(20,1)}
        11:{3,4,7}:{(6,1),(8,1),(24,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(19,1),(24,1),(25,1),(54,1),(55,1),(58,1)}
        13:{1,2,5,6}:{(7,1),(20,1),(25,1),(88,1),(89,1)}
        14:{1,2,3,6}:{(21,1),(27,1),(29,1),(96,1)}
        15:{2,3,4,6}:{(8,1),(22,1),(29,1),(30,1),(59,1),(62,1),(64,1),(86,1),(96,1)}
        16:{1,3,4,6}:{(8,1),(23,1),(29,1),(31,1),(60,1),(62,1),(65,1),(86,1),(96,1)}
        17:{3,5}:{(8,1),(9,1)}
        18:{1,2,4,5,6}:{(9,1),(25,1),(32,1),(33,1),(52,1),(64,1),(65,1),(67,1),(88,1),(89,1)}
        19:{4,5,7}:{(10,1),(36,1)}
        20:{3,5,6}:{(10,1),(13,1),(36,1),(41,1)}
        21:{1,2,3,7}:{(14,1),(38,1),(104,1)}
        22:{2,3,4,7}:{(11,1),(15,1),(38,1),(39,1),(73,1),(83,1),(104,1)}
        23:{1,3,4,7}:{(11,1),(16,1),(38,1),(40,1),(73,1),(84,1),(104,1)}
        24:{3,5,7}:{(11,1),(12,1),(17,1),(41,1)}
        25:{1,2,4,6}:{(12,1),(13,1),(36,1),(41,1),(75,1),(76,1),(78,1)}
        26:{1,2,5,6,7}:{(13,1),(37,1),(42,1),(100,1),(101,1)}
        27:{1,2,3,5}:{(14,1),(43,1),(47,1),(81,1)}
        28:{3,4,5}:{(17,1),(44,1),(45,1),(46,1),(81,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(16,1),(38,1),(43,1),(47,1),(78,1)}
        30:{2,3,5}:{(15,1),(17,1),(44,1),(47,1),(81,1),(98,1)}
        31:{1,3,5}:{(16,1),(17,1),(45,1),(47,1),(81,1),(98,1)}
        32:{3,5,6}:{(17,1),(18,1),(41,1),(46,1),(50,1)}
        33:{1,2,4,5,7}:{(18,1),(42,1),(50,1),(72,1),(83,1),(84,1),(85,1),(100,1),(101,1)}
        34:{1,2,3,5,7}:{(21,1),(27,1),(51,1),(53,1),(58,1),(87,1),(91,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(28,1),(54,1),(55,1),(56,1),(66,1),(90,1),(91,1),(105,1),(111,1)}
        36:{4,6}:{(19,1),(20,1)}
        37:{3,5,6,7}:{(20,1),(26,1),(57,1),(61,1),(90,1)}
        38:{1,2,4,7}:{(21,1),(22,1),(23,1),(29,1),(58,1)}
        39:{2,3,5,7}:{(22,1),(24,1),(30,1),(54,1),(58,1),(59,1),(91,1)}
        40:{1,3,5,7}:{(23,1),(24,1),(31,1),(55,1),(58,1),(60,1),(91,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,2,4,6,7}:{(25,1),(26,1),(33,1),(57,1),(61,1),(93,1),(94,1),(95,1)}
        43:{1,2,4}:{(27,1),(62,1)}
        44:{2,4,5}:{(28,1),(30,1),(64,1),(105,1)}
        45:{1,4,5}:{(28,1),(31,1),(65,1),(105,1)}
        46:{3,4,6}:{(28,1),(32,1),(64,1),(65,1),(66,1),(96,1)}
        47:{1,2,5}:{(29,1),(30,1),(31,1)}
        48:{2,3,5,6}:{(30,1),(32,1),(59,1),(64,1),(67,1),(68,1),(88,1),(96,1),(106,1)}
        49:{1,3,5,6}:{(31,1),(32,1),(60,1),(65,1),(67,1),(69,1),(89,1),(96,1),(106,1)}
        50:{3,5,7}:{(32,1),(33,1),(61,1),(66,1)}
        51:{1,2,3,6}:{(34,1),(70,1),(78,1),(102,1)}
        52:{4,5,6}:{(36,1),(71,1),(72,1),(109,1)}
        53:{1,2,4,7}:{(34,1),(43,1),(70,1),(73,1)}
        54:{2,4,5,7}:{(35,1),(39,1),(44,1),(75,1),(83,1),(100,1)}
        55:{1,4,5,7}:{(35,1),(40,1),(45,1),(76,1),(84,1),(101,1)}
        56:{3,4,6}:{(35,1),(36,1),(41,1),(71,1),(75,1),(76,1),(102,1),(109,1)}
        57:{4,6,7}:{(36,1),(37,1),(72,1)}
        58:{1,2,5,7}:{(38,1),(39,1),(40,1),(47,1),(78,1)}
        59:{2,3,6}:{(39,1),(41,1),(75,1),(78,1),(102,1)}
        60:{1,3,6}:{(40,1),(41,1),(76,1),(78,1),(102,1)}
        61:{3,6,7}:{(41,1),(42,1),(50,1)}
        62:{3,4}:{(43,1),(81,1)}
        63:{1,2,4,5}:{(43,1),(44,1),(45,1),(47,1),(81,1),(82,1)}
        64:{2,4,6}:{(44,1),(46,1),(48,1),(83,1),(109,1)}
        65:{1,4,6}:{(45,1),(46,1),(49,1),(84,1),(109,1)}
        66:{3,4,7}:{(46,1),(50,1),(83,1),(84,1),(104,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(49,1),(78,1),(82,1),(85,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(79,1),(83,1),(85,1),(100,1),(104,1),(110,1)}
        69:{1,3,5,7}:{(49,1),(50,1),(80,1),(84,1),(85,1),(101,1),(104,1),(110,1)}
        70:{1,2,4,6}:{(51,1),(53,1),(86,1),(87,1)}
        71:{3,5,6}:{(52,1),(56,1),(88,1),(89,1),(90,1)}
        72:{4,5,7}:{(52,1),(57,1),(90,1),(111,1)}
        73:{3,4,7}:{(53,1),(62,1),(86,1),(91,1),(111,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(58,1),(63,1),(87,1),(91,1),(92,1),(97,1),(105,1),(107,1),(111,1)}
        75:{2,4,6}:{(54,1),(56,1),(59,1),(88,1)}
        76:{1,4,6}:{(55,1),(56,1),(60,1),(89,1)}
        77:{3,4,6,7}:{(56,1),(57,1),(61,1),(66,1),(90,1),(93,1),(94,1),(108,1),(111,1)}
        78:{1,2,6}:{(58,1),(59,1),(60,1)}
        79:{2,3,6,7}:{(59,1),(61,1),(68,1),(93,1),(95,1),(108,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(69,1),(94,1),(95,1),(108,1)}
        81:{3,5}:{(62,1),(63,1),(96,1)}
        82:{1,2,4,6}:{(63,1),(64,1),(65,1),(67,1),(96,1),(97,1)}
        83:{2,4,7}:{(64,1),(66,1),(68,1),(111,1)}
        84:{1,4,7}:{(65,1),(66,1),(69,1),(111,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(95,1),(97,1)}
        86:{3,4,6}:{(70,1),(73,1),(98,1),(102,1),(109,1)}
        87:{1,2,5}:{(70,1),(98,1)}
        88:{2,5,6}:{(71,1),(75,1),(100,1)}
        89:{1,5,6}:{(71,1),(76,1),(101,1)}
        90:{3,5,7}:{(71,1),(72,1),(77,1),(100,1),(101,1)}
        91:{3,5,7}:{(73,1),(74,1),(81,1),(98,1),(102,1),(104,1)}
        92:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(99,1),(102,1),(109,1)}
        93:{2,4,6,7}:{(75,1),(77,1),(79,1),(83,1),(100,1)}
        94:{1,4,6,7}:{(76,1),(77,1),(80,1),(84,1),(101,1)}
        95:{1,2,6,7}:{(78,1),(79,1),(80,1),(85,1)}
        96:{3,6}:{(81,1),(82,1),(104,1)}
        97:{1,2,4,7}:{(82,1),(83,1),(84,1),(85,1),(104,1)}
        98:{3,5}:{(86,1),(87,1),(105,1)}
        99:{1,2,5,6}:{(87,1),(88,1),(89,1),(92,1),(106,1),(107,1)}
       100:{2,5,7}:{(88,1),(90,1),(93,1)}
       101:{1,5,7}:{(89,1),(90,1),(94,1)}
       102:{3,6}:{(91,1),(92,1)}
       103:{1,2,4,6,7}:{(92,1),(93,1),(94,1),(95,1),(97,1),(107,1),(108,1),(111,1)}
       104:{3,7}:{(96,1),(97,1)}
       105:{4,5}:{(98,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(102,1),(109,1),(110,1)}
       107:{1,2,5,7}:{(99,1),(100,1),(101,1),(103,1),(110,1)}
       108:{3,6,7}:{(102,1),(103,1),(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1825 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(21,1),(23,1),(24,1),(27,1),(28,1),(50,1),(80,1),(81,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(36,1),(37,1),(99,1),(100,1),(125,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(19,1),(20,1),(21,1),(47,1),(87,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(25,1),(26,1),(27,1),(135,1)}
         4:{3,4,6,7}:{(1,1),(7,1),(22,1),(50,1),(82,1),(134,1)}
         5:{3,5,6,7}:{(2,1),(10,1),(13,1),(65,1),(105,1)}
         6:{1,2,4,5,6}:{(3,1),(13,1),(36,1),(37,1),(38,1)}
         7:{3,5,7}:{(3,1),(4,1),(13,1),(138,1)}
         8:{1,3,4,6,7}:{(4,1),(15,1),(17,1),(36,1),(67,1),(72,1),(76,1),(100,1),(108,1)}
         9:{2,3,4,6,7}:{(4,1),(16,1),(17,1),(37,1),(66,1),(72,1),(76,1),(99,1),(107,1)}
        10:{3,4,6,7}:{(5,1),(18,1),(19,1),(20,1),(22,1),(50,1),(82,1),(118,1)}
        11:{1,3,5,6,7}:{(5,1),(19,1),(21,1),(23,1),(45,1),(50,1),(81,1),(121,1)}
        12:{2,3,5,6,7}:{(5,1),(20,1),(21,1),(24,1),(46,1),(50,1),(80,1),(120,1)}
        13:{3,5,6}:{(6,1),(7,1),(22,1)}
        14:{3,4,5,7}:{(7,1),(22,1),(25,1),(26,1),(58,1),(82,1),(114,1)}
        15:{1,3,5,7}:{(7,1),(8,1),(23,1),(25,1),(27,1),(58,1),(124,1)}
        16:{2,3,5,7}:{(7,1),(9,1),(24,1),(26,1),(27,1),(58,1),(123,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(27,1),(28,1),(54,1),(59,1),(122,1)}
        18:{3,4,5,7}:{(10,1),(29,1),(30,1),(31,1),(65,1)}
        19:{1,4,6,7}:{(10,1),(11,1),(30,1),(36,1),(100,1),(131,1)}
        20:{2,4,6,7}:{(10,1),(12,1),(31,1),(37,1),(99,1),(130,1)}
        21:{1,2,5,6,7}:{(11,1),(12,1),(34,1),(38,1),(63,1),(64,1),(132,1)}
        22:{3,4,6}:{(13,1),(14,1),(36,1),(37,1),(72,1)}
        23:{1,3,5,6}:{(13,1),(15,1),(36,1),(38,1),(72,1)}
        24:{2,3,5,6}:{(13,1),(16,1),(37,1),(38,1),(72,1)}
        25:{1,4,5,7}:{(14,1),(15,1),(36,1),(100,1),(127,1)}
        26:{2,4,5,7}:{(14,1),(16,1),(37,1),(99,1),(126,1)}
        27:{1,2,5,7}:{(15,1),(16,1),(17,1),(38,1),(133,1)}
        28:{1,2,3,6,7}:{(17,1),(42,1),(66,1),(67,1),(72,1),(106,1)}
        29:{3,4,5,6}:{(18,1),(22,1),(43,1),(44,1),(79,1),(114,1),(118,1)}
        30:{1,4,5,7}:{(18,1),(19,1),(43,1),(45,1)}
        31:{2,4,5,7}:{(18,1),(20,1),(44,1),(46,1)}
        32:{1,3,4,6,7}:{(19,1),(45,1),(48,1),(50,1),(52,1),(82,1)}
        33:{2,3,4,6,7}:{(20,1),(46,1),(49,1),(50,1),(53,1),(82,1)}
        34:{1,2,4,6,7}:{(19,1),(20,1),(21,1),(47,1),(50,1),(54,1),(137,1)}
        35:{1,2,3,5,6,7}:{(21,1),(50,1),(51,1),(55,1),(80,1),(81,1),(83,1),(86,1),(119,1),(120,1),(121,1)}
        36:{1,4,6}:{(22,1),(23,1),(25,1)}
        37:{2,4,6}:{(22,1),(24,1),(26,1)}
        38:{1,2,5,6}:{(23,1),(24,1),(27,1),(54,1)}
        39:{1,3,4,5,7}:{(25,1),(45,1),(52,1),(56,1),(58,1),(82,1),(94,1),(114,1),(117,1),(124,1),(136,1)}
        40:{2,3,4,5,7}:{(26,1),(46,1),(53,1),(57,1),(58,1),(82,1),(93,1),(114,1),(116,1),(123,1),(136,1)}
        41:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(54,1),(58,1),(59,1),(91,1)}
        42:{1,2,3,5,7}:{(27,1),(28,1),(55,1),(58,1),(59,1),(80,1),(81,1)}
        43:{1,4,5,6}:{(29,1),(30,1),(36,1),(60,1),(127,1),(131,1)}
        44:{2,4,5,6}:{(29,1),(31,1),(37,1),(61,1),(126,1),(130,1)}
        45:{1,3,5,7}:{(30,1),(32,1),(60,1),(63,1),(65,1)}
        46:{2,3,5,7}:{(31,1),(33,1),(61,1),(64,1),(65,1)}
        47:{1,2,4,5,7}:{(30,1),(31,1),(34,1),(62,1),(63,1),(64,1),(65,1),(99,1),(100,1)}
        48:{1,2,4,6,7}:{(32,1),(63,1),(66,1),(70,1),(99,1)}
        49:{1,2,4,6,7}:{(33,1),(64,1),(67,1),(71,1),(100,1)}
        50:{3,6,7}:{(34,1),(65,1),(72,1),(139,1)}
        51:{1,2,4,6,7}:{(35,1),(68,1),(69,1),(73,1),(99,1),(100,1),(130,1),(131,1)}
        52:{1,3,4,6}:{(36,1),(39,1),(60,1),(70,1),(72,1),(97,1),(131,1),(139,1)}
        53:{2,3,4,6}:{(37,1),(40,1),(61,1),(71,1),(72,1),(97,1),(130,1),(139,1)}
        54:{1,2,4,6}:{(36,1),(37,1),(38,1),(41,1),(72,1)}
        55:{1,2,3,5,6}:{(38,1),(42,1),(72,1),(73,1),(95,1),(96,1),(106,1),(109,1),(133,1)}
        56:{1,2,4,5,7}:{(39,1),(63,1),(70,1),(74,1),(99,1),(110,1),(126,1),(133,1)}
        57:{1,2,4,5,7}:{(40,1),(64,1),(71,1),(75,1),(100,1),(110,1),(127,1),(133,1)}
        58:{3,5,7}:{(41,1),(72,1),(76,1),(109,1)}
        59:{1,2,4,7}:{(42,1),(73,1),(76,1),(99,1),(100,1)}
        60:{1,3,5,6}:{(43,1),(45,1),(52,1),(77,1),(79,1),(124,1)}
        61:{2,3,5,6}:{(44,1),(46,1),(53,1),(78,1),(79,1),(123,1)}
        62:{1,2,4,5,6}:{(43,1),(44,1),(47,1),(54,1),(77,1),(78,1),(79,1),(91,1),(112,1),(113,1),(135,1),(137,1)}
        63:{1,2,5,7}:{(45,1),(48,1),(77,1),(80,1)}
        64:{1,2,5,7}:{(46,1),(49,1),(78,1),(81,1)}
        65:{3,5,7}:{(47,1),(50,1),(79,1),(82,1)}
        66:{2,3,6,7}:{(48,1),(50,1),(80,1),(88,1)}
        67:{1,3,6,7}:{(49,1),(50,1),(81,1),(89,1)}
        68:{3,4,6,7}:{(50,1),(51,1),(82,1),(86,1),(90,1),(118,1)}
        69:{1,2,4,5,7}:{(51,1),(86,1),(87,1),(91,1),(116,1),(117,1),(119,1)}
        70:{1,2,4,6}:{(52,1),(56,1),(77,1),(88,1),(112,1)}
        71:{1,2,4,6}:{(53,1),(57,1),(78,1),(89,1),(113,1)}
        72:{3,6}:{(54,1),(58,1)}
        73:{1,2,4,6}:{(55,1),(59,1),(90,1),(91,1),(112,1),(113,1)}
        74:{2,3,5,7}:{(56,1),(58,1),(88,1),(93,1),(123,1),(136,1)}
        75:{1,3,5,7}:{(57,1),(58,1),(89,1),(94,1),(124,1),(136,1)}
        76:{3,4,7}:{(58,1),(59,1),(90,1)}
        77:{1,2,5,6}:{(60,1),(63,1),(70,1),(95,1),(133,1)}
        78:{1,2,5,6}:{(61,1),(64,1),(71,1),(96,1),(133,1)}
        79:{3,5,6}:{(62,1),(65,1),(72,1),(97,1),(109,1),(138,1),(139,1)}
        80:{2,3,5,7}:{(63,1),(65,1),(66,1),(95,1),(99,1)}
        81:{1,3,5,7}:{(64,1),(65,1),(67,1),(96,1),(100,1)}
        82:{3,4,7}:{(65,1),(97,1),(99,1),(100,1)}
        83:{1,2,3,6,7}:{(66,1),(67,1),(98,1),(102,1),(106,1),(139,1)}
        84:{2,3,4,6,7}:{(66,1),(68,1),(99,1),(102,1),(103,1),(107,1),(128,1),(130,1),(139,1)}
        85:{1,3,4,6,7}:{(67,1),(68,1),(100,1),(102,1),(104,1),(108,1),(128,1),(131,1),(139,1)}
        86:{3,5,7}:{(68,1),(69,1),(105,1),(109,1)}
        87:{1,2,4,5,6}:{(69,1),(105,1),(130,1),(131,1),(132,1)}
        88:{2,3,6}:{(70,1),(72,1),(74,1),(139,1)}
        89:{1,3,6}:{(71,1),(72,1),(75,1),(139,1)}
        90:{3,4,6}:{(72,1),(73,1),(76,1),(109,1)}
        91:{1,2,4,5}:{(73,1),(109,1),(126,1),(127,1),(133,1)}
        92:{1,2,3,5,7}:{(74,1),(75,1),(106,1),(110,1),(133,1)}
        93:{2,3,4,7}:{(74,1),(76,1),(99,1),(107,1),(110,1),(128,1)}
        94:{1,3,4,7}:{(75,1),(76,1),(100,1),(108,1),(110,1),(128,1)}
        95:{2,3,5,6}:{(77,1),(79,1),(80,1),(88,1),(112,1),(123,1)}
        96:{1,3,5,6}:{(78,1),(79,1),(81,1),(89,1),(113,1),(124,1)}
        97:{3,4,6}:{(79,1),(82,1),(112,1),(113,1),(114,1)}
        98:{1,2,3,5,7}:{(80,1),(81,1),(83,1),(111,1),(115,1),(119,1),(136,1)}
        99:{2,4,7}:{(80,1),(82,1),(112,1)}
       100:{1,4,7}:{(81,1),(82,1),(113,1)}
       101:{3,4,5,7}:{(82,1),(86,1),(114,1),(116,1),(117,1),(118,1),(136,1)}
       102:{1,2,4,6,7}:{(83,1),(84,1),(85,1),(115,1),(119,1),(122,1),(137,1)}
       103:{2,3,5,7}:{(84,1),(86,1),(116,1),(119,1),(120,1),(123,1),(136,1)}
       104:{1,3,5,7}:{(85,1),(86,1),(117,1),(119,1),(121,1),(124,1),(136,1)}
       105:{3,5,6}:{(86,1),(87,1),(118,1)}
       106:{1,2,3,6}:{(88,1),(89,1),(92,1),(122,1)}
       107:{2,3,4,6}:{(88,1),(90,1),(93,1),(112,1),(122,1),(123,1),(134,1)}
       108:{1,3,4,6}:{(89,1),(90,1),(94,1),(113,1),(122,1),(124,1),(134,1)}
       109:{3,5}:{(90,1),(91,1)}
       110:{1,2,4,7}:{(92,1),(93,1),(94,1),(122,1)}
       111:{1,2,3,5,6}:{(95,1),(96,1),(98,1),(106,1),(125,1),(132,1),(133,1),(138,1),(139,1)}
       112:{2,4,6}:{(95,1),(97,1),(99,1),(126,1)}
       113:{1,4,6}:{(96,1),(97,1),(100,1),(127,1)}
       114:{3,4,5}:{(97,1),(109,1),(126,1),(127,1),(138,1)}
       115:{1,2,4,7}:{(98,1),(99,1),(100,1),(125,1),(128,1)}
       116:{2,4,5,7}:{(99,1),(101,1),(103,1),(126,1),(130,1)}
       117:{1,4,5,7}:{(100,1),(101,1),(104,1),(127,1),(131,1)}
       118:{3,4,6}:{(101,1),(105,1),(130,1),(131,1),(139,1)}
       119:{1,2,5,7}:{(102,1),(103,1),(104,1),(132,1),(133,1)}
       120:{2,3,5,6}:{(103,1),(105,1),(130,1),(132,1),(139,1)}
       121:{1,3,5,6}:{(104,1),(105,1),(131,1),(132,1),(139,1)}
       122:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(133,1)}
       123:{2,3,5}:{(107,1),(109,1),(126,1),(133,1),(138,1)}
       124:{1,3,5}:{(108,1),(109,1),(127,1),(133,1),(138,1)}
       125:{1,2,4,6}:{(111,1),(112,1),(113,1),(115,1),(134,1),(135,1)}
       126:{2,4,5}:{(112,1),(114,1),(123,1)}
       127:{1,4,5}:{(113,1),(114,1),(124,1)}
       128:{3,4,7}:{(115,1),(134,1),(136,1)}
       129:{1,2,4,5,7}:{(115,1),(116,1),(117,1),(119,1),(135,1),(136,1),(137,1)}
       130:{2,4,6}:{(116,1),(118,1),(120,1)}
       131:{1,4,6}:{(117,1),(118,1),(121,1)}
       132:{1,2,5,6}:{(119,1),(120,1),(121,1),(137,1)}
       133:{1,2,5}:{(122,1),(123,1),(124,1)}
       134:{3,4,6}:{(125,1),(128,1),(138,1),(139,1)}
       135:{1,2,4,5}:{(125,1),(126,1),(127,1),(133,1),(138,1)}
       136:{3,5,7}:{(128,1),(129,1),(138,1),(139,1)}
       137:{1,2,4,6}:{(129,1),(130,1),(131,1),(132,1),(139,1)}
       138:{3,5}:{(134,1),(135,1)}
       139:{3,6}:{(136,1),(137,1)}

1826 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(18,1),(37,1),(38,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(24,1),(47,1)}
        2:{1,2,4,5,7}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,5,6}:{(1,1),(5,1),(12,1),(34,1),(37,1)}
        4:{3,4,5,7}:{(2,1),(10,1),(24,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(10,1)}
        6:{1,2,3,5,6,7}:{(3,1),(11,1),(24,1),(40,1),(41,1),(47,1),(48,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(30,1),(31,1),(34,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(16,1),(35,1),(52,1),(62,1)}
        9:{1,3,4,5,7}:{(4,1),(15,1),(17,1),(36,1),(52,1),(62,1)}
       10:{3,4,6}:{(4,1),(5,1),(12,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(13,1),(18,1),(49,1),(50,1)}
       12:{3,5,6}:{(7,1),(10,1),(24,1)}
       13:{1,2,4,5,7}:{(7,1),(11,1),(24,1),(43,1),(44,1),(47,1)}
       14:{1,2,3,4,7}:{(21,1),(25,1),(60,1)}
       15:{1,2,4,5,7}:{(8,1),(9,1),(25,1),(26,1),(45,1),(47,1),(60,1)}
       16:{2,3,4,6}:{(8,1),(10,1),(22,1),(26,1),(58,1)}
       17:{1,3,4,6}:{(9,1),(10,1),(23,1),(26,1),(58,1)}
       18:{3,4,6,7}:{(10,1),(11,1),(24,1)}
       19:{1,2,4,5,6,7}:{(13,1),(29,1),(49,1),(50,1),(51,1)}
       20:{3,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(53,1)}
       21:{1,2,3,4,6}:{(14,1),(33,1),(37,1),(55,1)}
       22:{2,3,5,6}:{(12,1),(16,1),(30,1),(34,1),(35,1),(53,1)}
       23:{1,3,5,6}:{(12,1),(17,1),(31,1),(34,1),(36,1),(53,1)}
       24:{3,5,7}:{(12,1),(13,1),(18,1)}
       25:{1,2,3,5,7}:{(14,1),(15,1),(33,1),(37,1)}
       26:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(37,1)}
       27:{2,3,4,6,7}:{(16,1),(18,1),(35,1),(38,1),(49,1),(61,1),(62,1)}
       28:{1,3,4,6,7}:{(17,1),(18,1),(36,1),(38,1),(50,1),(61,1),(62,1)}
       29:{3,5,6,7}:{(19,1),(24,1),(39,1)}
       30:{2,4,5,6}:{(20,1),(22,1),(43,1)}
       31:{1,4,5,6}:{(20,1),(23,1),(44,1)}
       32:{3,4,5,7}:{(20,1),(24,1),(39,1),(43,1),(44,1),(59,1)}
       33:{1,2,3,5}:{(21,1),(45,1)}
       34:{1,2,5,6}:{(22,1),(23,1),(26,1),(47,1)}
       35:{2,3,5,7}:{(22,1),(24,1),(27,1),(43,1),(47,1),(59,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(28,1),(44,1),(47,1),(59,1)}
       37:{1,2,3,6}:{(25,1),(26,1)}
       38:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(47,1),(48,1),(60,1)}
       39:{3,4,6,7}:{(29,1),(32,1),(49,1),(50,1),(61,1)}
       40:{2,3,5,6,7}:{(29,1),(35,1),(49,1),(51,1),(61,1)}
       41:{1,3,5,6,7}:{(29,1),(36,1),(50,1),(51,1),(61,1)}
       42:{1,2,4,5,6}:{(30,1),(31,1),(34,1),(53,1),(54,1),(55,1)}
       43:{2,4,5,7}:{(30,1),(32,1),(35,1),(49,1)}
       44:{1,4,5,7}:{(31,1),(32,1),(36,1),(50,1)}
       45:{1,2,4,5}:{(33,1),(52,1),(55,1)}
       46:{1,2,3,5,6}:{(33,1),(34,1),(37,1),(53,1),(55,1),(56,1)}
       47:{1,2,5,7}:{(34,1),(35,1),(36,1),(38,1)}
       48:{1,2,3,6,7}:{(37,1),(38,1),(56,1),(61,1)}
       49:{2,4,6,7}:{(39,1),(40,1),(43,1)}
       50:{1,4,6,7}:{(39,1),(41,1),(44,1)}
       51:{1,2,5,6,7}:{(40,1),(41,1),(47,1),(57,1)}
       52:{3,4,5}:{(45,1),(58,1)}
       53:{3,5,6}:{(42,1),(58,1),(59,1)}
       54:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(47,1),(57,1),(59,1),(60,1)}
       55:{1,2,4,6}:{(45,1),(46,1),(58,1),(60,1)}
       56:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(59,1),(60,1)}
       57:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(54,1),(61,1)}
       58:{3,4,6}:{(52,1),(53,1),(55,1),(62,1)}
       59:{3,5,7}:{(53,1),(54,1),(61,1),(62,1)}
       60:{1,2,4,7}:{(55,1),(56,1),(62,1)}
       61:{3,6,7}:{(57,1),(59,1)}
       62:{3,4,7}:{(58,1),(59,1),(60,1)}

1827 :   0:{2,3,4,5,7}:{(2,1),(3,1),(22,1),(36,1),(91,1),(140,1),(144,1),(147,1),(184,1),(189,1)}
         1:{1,3,4,5,7}:{(4,1),(5,1),(28,1),(30,1),(83,1),(141,1),(146,1),(150,1),(184,1),(191,1)}
         2:{2,3,4,6}:{(0,1),(10,1),(11,1),(113,1),(173,1),(200,1),(202,1)}
         3:{1,2,4,5,7}:{(0,1),(11,1),(12,1),(44,1),(49,1),(105,1),(110,1),(114,1)}
         4:{1,3,4,6}:{(1,1),(15,1),(16,1),(120,1),(169,1),(200,1),(203,1)}
         5:{1,2,4,5,7}:{(1,1),(16,1),(17,1),(44,1),(57,1),(105,1),(117,1),(121,1)}
         6:{2,4,5,6,7}:{(18,1),(64,1),(180,1)}
         7:{1,4,5,6,7}:{(19,1),(66,1),(177,1)}
         8:{2,3,4,6,7}:{(2,1),(22,1),(23,1),(64,1),(123,1),(140,1),(175,1)}
         9:{3,4,5,6}:{(21,1),(24,1),(25,1),(81,1),(150,1),(192,1)}
        10:{2,3,5,6}:{(2,1),(22,1),(25,1),(26,1),(81,1),(91,1),(204,1)}
        11:{1,2,4,6}:{(2,1),(3,1),(26,1),(27,1),(82,1)}
        12:{1,3,5,7}:{(3,1),(27,1),(28,1),(83,1),(184,1)}
        13:{1,3,4,6,7}:{(4,1),(30,1),(31,1),(66,1),(126,1),(146,1),(178,1)}
        14:{3,4,5,6}:{(29,1),(32,1),(33,1),(89,1),(144,1),(190,1)}
        15:{1,3,5,6}:{(4,1),(30,1),(32,1),(34,1),(83,1),(89,1),(205,1)}
        16:{1,2,4,6}:{(4,1),(5,1),(34,1),(35,1),(90,1)}
        17:{2,3,5,7}:{(5,1),(35,1),(36,1),(91,1),(184,1)}
        18:{3,5,6,7}:{(6,1),(37,1),(38,1),(196,1)}
        19:{3,5,6,7}:{(7,1),(40,1),(42,1),(194,1)}
        20:{1,2,3,5,7}:{(12,1),(17,1),(43,1),(44,1),(105,1)}
        21:{3,4,5,7}:{(9,1),(37,1),(47,1),(48,1),(109,1)}
        22:{2,3,5,7}:{(8,1),(10,1),(48,1),(49,1),(109,1),(193,1)}
        23:{1,2,4,6,7}:{(8,1),(11,1),(49,1),(50,1),(110,1)}
        24:{1,4,5,6}:{(9,1),(47,1),(51,1),(174,1),(203,1)}
        25:{2,4,5,6}:{(9,1),(10,1),(48,1),(121,1),(173,1)}
        26:{1,2,5,6}:{(10,1),(11,1),(49,1),(53,1),(105,1)}
        27:{1,3,6}:{(11,1),(12,1),(200,1)}
        28:{1,3,4,7}:{(12,1),(44,1),(54,1),(110,1),(159,1)}
        29:{3,4,5,7}:{(14,1),(40,1),(55,1),(56,1),(116,1)}
        30:{1,3,5,7}:{(13,1),(15,1),(55,1),(57,1),(116,1),(195,1)}
        31:{1,2,4,6,7}:{(13,1),(16,1),(57,1),(58,1),(117,1)}
        32:{1,4,5,6}:{(14,1),(15,1),(55,1),(114,1),(169,1)}
        33:{2,4,5,6}:{(14,1),(56,1),(59,1),(170,1),(202,1)}
        34:{1,2,5,6}:{(15,1),(16,1),(57,1),(61,1),(105,1)}
        35:{2,3,6}:{(16,1),(17,1),(200,1)}
        36:{2,3,4,7}:{(17,1),(44,1),(62,1),(117,1),(159,1)}
        37:{3,4,6,7}:{(18,1),(21,1),(63,1),(64,1),(123,1),(192,1)}
        38:{1,5,6,7}:{(18,1),(63,1),(205,1)}
        39:{2,3,5,6,7}:{(18,1),(22,1),(64,1),(65,1),(123,1),(148,1)}
        40:{3,4,6,7}:{(19,1),(29,1),(66,1),(67,1),(126,1),(190,1)}
        41:{1,3,5,6,7}:{(19,1),(30,1),(66,1),(68,1),(126,1),(142,1)}
        42:{2,5,6,7}:{(19,1),(67,1),(204,1)}
        43:{1,2,3,6}:{(20,1),(27,1),(35,1),(73,1)}
        44:{1,2,4,7}:{(20,1),(28,1),(36,1),(73,1)}
        45:{1,3,4,5}:{(70,1),(74,1),(138,1),(144,1),(188,1)}
        46:{2,3,4,5}:{(71,1),(75,1),(137,1),(150,1),(187,1)}
        47:{1,4,5,7}:{(21,1),(24,1),(63,1),(76,1)}
        48:{2,4,5,7}:{(21,1),(22,1),(25,1),(64,1)}
        49:{1,2,5,7}:{(22,1),(23,1),(26,1),(78,1)}
        50:{1,3,6,7}:{(23,1),(27,1),(78,1),(123,1)}
        51:{1,3,5,6}:{(24,1),(70,1),(76,1),(80,1),(81,1),(188,1),(208,1)}
        52:{1,2,4,5,6}:{(24,1),(25,1),(26,1),(77,1),(80,1),(81,1),(82,1),(135,1),(143,1),(177,1),(185,1),(204,1)}
        53:{1,3,5,6}:{(26,1),(27,1),(78,1),(81,1),(82,1),(83,1)}
        54:{1,3,4,6}:{(27,1),(28,1),(73,1),(82,1),(83,1),(134,1)}
        55:{1,4,5,7}:{(29,1),(30,1),(32,1),(66,1)}
        56:{2,4,5,7}:{(29,1),(33,1),(67,1),(84,1)}
        57:{1,2,5,7}:{(30,1),(31,1),(34,1),(86,1)}
        58:{2,3,6,7}:{(31,1),(35,1),(86,1),(126,1)}
        59:{2,3,5,6}:{(33,1),(71,1),(84,1),(88,1),(89,1),(187,1),(207,1)}
        60:{1,2,4,5,6}:{(32,1),(33,1),(34,1),(85,1),(88,1),(89,1),(90,1),(135,1),(149,1),(180,1),(185,1),(205,1)}
        61:{2,3,5,6}:{(34,1),(35,1),(86,1),(89,1),(90,1),(91,1)}
        62:{2,3,4,6}:{(35,1),(36,1),(73,1),(90,1),(91,1),(134,1)}
        63:{1,4,6,7}:{(37,1),(38,1),(47,1),(92,1),(203,1)}
        64:{2,4,6,7}:{(37,1),(39,1),(48,1),(173,1)}
        65:{1,2,5,6,7}:{(38,1),(39,1),(49,1),(93,1),(94,1),(161,1),(193,1)}
        66:{1,4,6,7}:{(40,1),(41,1),(55,1),(169,1)}
        67:{2,4,6,7}:{(40,1),(42,1),(56,1),(95,1),(202,1)}
        68:{1,2,5,6,7}:{(41,1),(42,1),(57,1),(96,1),(97,1),(161,1),(195,1)}
        69:{1,2,3,6,7}:{(43,1),(50,1),(58,1),(100,1),(101,1),(151,1),(154,1),(200,1),(209,1)}
        70:{1,3,4,6}:{(45,1),(51,1),(98,1),(102,1),(113,1)}
        71:{2,3,4,6}:{(46,1),(59,1),(99,1),(103,1),(120,1)}
        72:{1,2,3,5,6}:{(43,1),(53,1),(61,1),(100,1),(104,1),(105,1),(112,1),(119,1),(161,1),(162,1),(165,1),(200,1),(201,1),(209,1)}
        73:{1,2,4,6}:{(43,1),(44,1),(54,1),(62,1),(105,1)}
        74:{1,2,4,5}:{(45,1),(102,1),(106,1),(166,1),(170,1),(201,1)}
        75:{1,2,4,5}:{(46,1),(103,1),(107,1),(166,1),(174,1),(201,1)}
        76:{1,3,5,7}:{(47,1),(51,1),(92,1),(98,1),(108,1),(109,1)}
        77:{1,2,4,5,7}:{(47,1),(48,1),(49,1),(52,1),(93,1),(108,1),(109,1),(110,1),(153,1),(167,1),(193,1)}
        78:{1,3,5,7}:{(49,1),(50,1),(53,1),(109,1),(110,1)}
        79:{1,3,4,6,7}:{(50,1),(54,1),(101,1),(110,1),(111,1),(152,1),(159,1),(169,1),(200,1)}
        80:{1,2,5,6}:{(51,1),(102,1),(108,1),(112,1),(201,1),(209,1)}
        81:{3,5,6}:{(52,1),(109,1),(113,1),(165,1),(200,1)}
        82:{1,4,6}:{(53,1),(110,1),(113,1),(114,1)}
        83:{1,3,5}:{(54,1),(105,1),(114,1),(165,1)}
        84:{2,3,5,7}:{(56,1),(59,1),(95,1),(99,1),(115,1),(116,1)}
        85:{1,2,4,5,7}:{(55,1),(56,1),(57,1),(60,1),(96,1),(115,1),(116,1),(117,1),(156,1),(171,1),(195,1)}
        86:{2,3,5,7}:{(57,1),(58,1),(61,1),(116,1),(117,1)}
        87:{2,3,4,6,7}:{(58,1),(62,1),(101,1),(117,1),(118,1),(155,1),(159,1),(173,1),(200,1)}
        88:{1,2,5,6}:{(59,1),(103,1),(115,1),(119,1),(201,1),(209,1)}
        89:{3,5,6}:{(60,1),(116,1),(120,1),(165,1),(200,1)}
        90:{2,4,6}:{(61,1),(117,1),(120,1),(121,1)}
        91:{2,3,5}:{(62,1),(105,1),(121,1),(165,1)}
        92:{1,3,6,7}:{(63,1),(76,1),(122,1),(123,1),(208,1)}
        93:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(77,1),(122,1),(123,1),(124,1),(175,1),(185,1)}
        94:{1,3,5,6,7}:{(65,1),(78,1),(123,1),(124,1),(142,1),(176,1)}
        95:{2,3,6,7}:{(67,1),(84,1),(125,1),(126,1),(207,1)}
        96:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(85,1),(125,1),(126,1),(127,1),(178,1),(185,1)}
        97:{2,3,5,6,7}:{(68,1),(86,1),(126,1),(127,1),(148,1),(179,1)}
        98:{1,3,4,7}:{(70,1),(76,1),(128,1),(140,1)}
        99:{2,3,4,7}:{(71,1),(84,1),(129,1),(146,1)}
       100:{1,2,3,5,7}:{(69,1),(72,1),(78,1),(86,1),(130,1),(131,1),(139,1),(145,1),(181,1),(184,1),(206,1)}
       101:{1,2,4,6,7}:{(69,1),(73,1),(79,1),(87,1),(130,1),(131,1),(175,1),(178,1),(185,1)}
       102:{1,2,4,6}:{(70,1),(74,1),(80,1),(128,1),(132,1),(143,1)}
       103:{1,2,4,6}:{(71,1),(75,1),(88,1),(129,1),(133,1),(149,1)}
       104:{1,2,4,6}:{(72,1),(82,1),(90,1),(130,1),(134,1),(135,1),(143,1),(149,1)}
       105:{1,2,5}:{(73,1),(83,1),(91,1)}
       106:{2,3,5}:{(74,1),(132,1),(137,1)}
       107:{1,3,5}:{(75,1),(133,1),(138,1)}
       108:{1,2,5,7}:{(76,1),(80,1),(122,1),(128,1),(139,1)}
       109:{3,5,7}:{(77,1),(81,1),(123,1),(140,1)}
       110:{1,4,7}:{(78,1),(82,1),(140,1)}
       111:{1,3,5,7}:{(79,1),(83,1),(131,1),(141,1),(142,1),(176,1),(184,1)}
       112:{2,3,5,6}:{(80,1),(81,1),(132,1),(139,1),(143,1),(187,1),(204,1),(207,1)}
       113:{3,4,6}:{(81,1),(82,1),(140,1),(143,1),(144,1)}
       114:{1,4,5}:{(82,1),(83,1),(144,1)}
       115:{1,2,5,7}:{(84,1),(88,1),(125,1),(129,1),(145,1)}
       116:{3,5,7}:{(85,1),(89,1),(126,1),(146,1)}
       117:{2,4,7}:{(86,1),(90,1),(146,1)}
       118:{2,3,5,7}:{(87,1),(91,1),(131,1),(147,1),(148,1),(179,1),(184,1)}
       119:{1,3,5,6}:{(88,1),(89,1),(133,1),(145,1),(149,1),(188,1),(205,1),(208,1)}
       120:{3,4,6}:{(89,1),(90,1),(146,1),(149,1),(150,1)}
       121:{2,4,5}:{(90,1),(91,1),(150,1)}
       122:{1,2,6,7}:{(92,1),(108,1),(151,1),(209,1)}
       123:{3,6,7}:{(93,1),(109,1),(200,1)}
       124:{1,4,6,7}:{(94,1),(110,1),(152,1),(153,1),(169,1)}
       125:{1,2,6,7}:{(95,1),(115,1),(154,1),(209,1)}
       126:{3,6,7}:{(96,1),(116,1),(200,1)}
       127:{2,4,6,7}:{(97,1),(117,1),(155,1),(156,1),(173,1)}
       128:{1,2,4,7}:{(98,1),(102,1),(108,1),(157,1),(167,1)}
       129:{1,2,4,7}:{(99,1),(103,1),(115,1),(158,1),(171,1)}
       130:{1,2,4,7}:{(100,1),(104,1),(110,1),(117,1),(159,1),(167,1),(171,1)}
       131:{1,2,5,7}:{(101,1),(105,1),(111,1),(118,1),(161,1),(193,1),(195,1)}
       132:{2,3,6}:{(102,1),(106,1),(157,1)}
       133:{1,3,6}:{(103,1),(107,1),(158,1)}
       134:{3,4,6}:{(104,1),(159,1),(165,1),(200,1)}
       135:{1,2,4,5}:{(104,1),(105,1),(114,1),(121,1),(165,1),(170,1),(174,1),(201,1)}
       136:{1,2,3,5}:{(106,1),(107,1),(162,1),(166,1),(201,1)}
       137:{2,3,4}:{(106,1),(166,1)}
       138:{1,3,4}:{(107,1),(166,1)}
       139:{2,3,5,7}:{(108,1),(109,1),(112,1),(151,1),(157,1),(167,1),(193,1)}
       140:{3,4,7}:{(109,1),(110,1),(113,1),(167,1)}
       141:{1,4,5,7}:{(110,1),(111,1),(114,1),(168,1),(169,1)}
       142:{1,3,5,6}:{(111,1),(161,1),(169,1),(194,1),(200,1)}
       143:{2,4,6}:{(112,1),(113,1),(167,1),(170,1)}
       144:{3,4,5}:{(113,1),(114,1),(165,1),(170,1)}
       145:{1,3,5,7}:{(115,1),(116,1),(119,1),(154,1),(158,1),(171,1),(195,1)}
       146:{3,4,7}:{(116,1),(117,1),(120,1),(171,1)}
       147:{2,4,5,7}:{(117,1),(118,1),(121,1),(172,1),(173,1)}
       148:{2,3,5,6}:{(118,1),(161,1),(173,1),(196,1),(200,1)}
       149:{1,4,6}:{(119,1),(120,1),(171,1),(174,1)}
       150:{3,4,5}:{(120,1),(121,1),(165,1),(174,1)}
       151:{2,3,6,7}:{(122,1),(123,1),(139,1),(175,1),(207,1)}
       152:{3,4,6,7}:{(123,1),(124,1),(140,1),(175,1),(176,1),(190,1)}
       153:{1,4,5,7}:{(124,1),(176,1),(177,1)}
       154:{1,3,6,7}:{(125,1),(126,1),(145,1),(178,1),(208,1)}
       155:{3,4,6,7}:{(126,1),(127,1),(146,1),(178,1),(179,1),(192,1)}
       156:{2,4,5,7}:{(127,1),(179,1),(180,1)}
       157:{2,3,7}:{(128,1),(132,1)}
       158:{1,3,7}:{(129,1),(133,1)}
       159:{3,4,7}:{(130,1),(134,1),(184,1)}
       160:{1,2,4,5,7}:{(130,1),(131,1),(135,1),(141,1),(147,1),(184,1),(185,1),(189,1),(191,1),(206,1)}
       161:{1,2,5,6}:{(131,1),(142,1),(148,1),(185,1),(204,1),(205,1)}
       162:{1,2,3,6}:{(132,1),(133,1),(136,1),(181,1),(186,1)}
       163:{2,3,4,6}:{(132,1),(134,1),(137,1),(143,1),(182,1),(186,1),(187,1),(207,1)}
       164:{1,3,4,6}:{(133,1),(134,1),(138,1),(149,1),(183,1),(186,1),(188,1),(208,1)}
       165:{3,5}:{(134,1),(135,1)}
       166:{1,2,4}:{(136,1),(137,1),(138,1)}
       167:{2,4,7}:{(139,1),(140,1),(143,1)}
       168:{3,4,5,7}:{(140,1),(141,1),(144,1),(176,1),(184,1),(189,1),(190,1)}
       169:{1,4,6}:{(141,1),(142,1),(190,1)}
       170:{2,4,5}:{(143,1),(144,1),(187,1)}
       171:{1,4,7}:{(145,1),(146,1),(149,1)}
       172:{3,4,5,7}:{(146,1),(147,1),(150,1),(179,1),(184,1),(191,1),(192,1)}
       173:{2,4,6}:{(147,1),(148,1),(192,1)}
       174:{1,4,5}:{(149,1),(150,1),(188,1)}
       175:{2,4,6,7}:{(151,1),(152,1),(167,1),(193,1),(202,1)}
       176:{3,5,7}:{(152,1),(153,1),(193,1),(194,1)}
       177:{1,4,5,6}:{(153,1),(169,1),(194,1)}
       178:{1,4,6,7}:{(154,1),(155,1),(171,1),(195,1),(203,1)}
       179:{3,5,7}:{(155,1),(156,1),(195,1),(196,1)}
       180:{2,4,5,6}:{(156,1),(173,1),(196,1)}
       181:{1,2,3,7}:{(157,1),(158,1),(162,1),(197,1)}
       182:{2,3,4,7}:{(157,1),(159,1),(163,1),(167,1),(197,1),(198,1)}
       183:{1,3,4,7}:{(158,1),(159,1),(164,1),(171,1),(197,1),(199,1)}
       184:{3,5,7}:{(159,1),(160,1),(165,1),(200,1)}
       185:{1,2,4,6}:{(160,1),(161,1),(169,1),(173,1),(200,1),(202,1),(203,1),(209,1)}
       186:{1,2,4,6}:{(162,1),(163,1),(164,1),(166,1),(197,1),(201,1),(209,1)}
       187:{2,3,5}:{(163,1),(165,1),(170,1),(201,1)}
       188:{1,3,5}:{(164,1),(165,1),(174,1),(201,1)}
       189:{2,4,5,7}:{(167,1),(168,1),(170,1),(193,1),(198,1),(202,1)}
       190:{3,4,6}:{(168,1),(169,1),(194,1),(200,1),(202,1)}
       191:{1,4,5,7}:{(171,1),(172,1),(174,1),(195,1),(199,1),(203,1)}
       192:{3,4,6}:{(172,1),(173,1),(196,1),(200,1),(203,1)}
       193:{2,5,7}:{(175,1),(176,1),(204,1)}
       194:{3,5,6}:{(176,1),(177,1),(190,1),(204,1)}
       195:{1,5,7}:{(178,1),(179,1),(205,1)}
       196:{3,5,6}:{(179,1),(180,1),(192,1),(205,1)}
       197:{1,2,4,7}:{(181,1),(182,1),(183,1),(186,1),(206,1)}
       198:{2,3,5,7}:{(182,1),(184,1),(187,1),(189,1),(206,1),(207,1)}
       199:{1,3,5,7}:{(183,1),(184,1),(188,1),(191,1),(206,1),(208,1)}
       200:{3,6}:{(184,1),(185,1)}
       201:{1,2,5}:{(186,1),(187,1),(188,1)}
       202:{2,4,6}:{(189,1),(190,1),(204,1),(207,1)}
       203:{1,4,6}:{(191,1),(192,1),(205,1),(208,1)}
       204:{2,5,6}:{(193,1),(194,1),(202,1)}
       205:{1,5,6}:{(195,1),(196,1),(203,1)}
       206:{1,2,5,7}:{(197,1),(198,1),(199,1),(201,1),(209,1)}
       207:{2,3,6}:{(198,1),(200,1),(202,1),(209,1)}
       208:{1,3,6}:{(199,1),(200,1),(203,1),(209,1)}
       209:{1,2,6}:{(206,1),(207,1),(208,1)}

1828 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(34,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(43,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(33,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(8,1),(20,1),(41,1),(42,1),(43,1),(45,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(20,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(28,1),(29,1),(33,1)}
        8:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(14,1),(47,1),(48,1)}
        9:{3,4,6}:{(5,1),(6,1),(13,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(31,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(32,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(38,1),(39,1),(43,1)}
       13:{3,5,6}:{(7,1),(9,1),(20,1)}
       14:{3,4,6,7}:{(8,1),(9,1),(20,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(21,1),(25,1),(57,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(22,1),(25,1),(57,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(43,1),(58,1),(59,1)}
       18:{3,4,5,6}:{(13,1),(27,1),(28,1),(29,1),(50,1)}
       19:{1,2,4,5,6,7}:{(12,1),(30,1),(47,1),(48,1),(51,1)}
       20:{3,5,7}:{(12,1),(13,1),(14,1)}
       21:{1,3,5,6}:{(13,1),(15,1),(28,1),(31,1),(33,1),(50,1)}
       22:{2,3,5,6}:{(13,1),(16,1),(29,1),(32,1),(33,1),(50,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(31,1),(34,1),(47,1),(60,1),(61,1)}
       24:{2,3,4,6,7}:{(14,1),(16,1),(32,1),(34,1),(48,1),(60,1),(61,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(33,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,4,5,7}:{(18,1),(20,1),(37,1),(38,1),(39,1),(56,1)}
       28:{1,4,5,6}:{(18,1),(21,1),(38,1)}
       29:{2,4,5,6}:{(18,1),(22,1),(39,1)}
       30:{3,5,6,7}:{(19,1),(20,1),(37,1)}
       31:{1,3,5,7}:{(20,1),(21,1),(23,1),(38,1),(43,1),(56,1)}
       32:{2,3,5,7}:{(20,1),(22,1),(24,1),(39,1),(43,1),(56,1)}
       33:{1,2,5,6}:{(21,1),(22,1),(25,1),(43,1)}
       34:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(43,1),(45,1),(58,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(58,1)}
       37:{3,4,6,7}:{(27,1),(30,1),(47,1),(48,1),(60,1)}
       38:{1,4,5,7}:{(27,1),(28,1),(31,1),(47,1)}
       39:{2,4,5,7}:{(27,1),(29,1),(32,1),(48,1)}
       40:{1,2,4,5,6}:{(28,1),(29,1),(33,1),(49,1),(50,1),(53,1)}
       41:{1,3,5,6,7}:{(30,1),(31,1),(47,1),(51,1),(60,1)}
       42:{2,3,5,6,7}:{(30,1),(32,1),(48,1),(51,1),(60,1)}
       43:{1,2,5,7}:{(31,1),(32,1),(33,1),(34,1)}
       44:{1,2,3,5,6}:{(33,1),(35,1),(50,1),(52,1),(53,1),(54,1)}
       45:{1,2,3,6,7}:{(34,1),(35,1),(52,1),(60,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(41,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(42,1)}
       49:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(55,1),(56,1),(58,1)}
       50:{3,5,6}:{(40,1),(56,1),(57,1)}
       51:{1,2,5,6,7}:{(41,1),(42,1),(43,1),(55,1)}
       52:{1,2,3,5,7}:{(43,1),(44,1),(45,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(44,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(51,1),(60,1)}
       56:{3,5,7}:{(49,1),(50,1),(60,1),(61,1)}
       57:{3,4,6}:{(50,1),(53,1),(61,1),(62,1)}
       58:{1,2,4,7}:{(52,1),(53,1),(61,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(57,1),(59,1)}

1829 :   0:{1,2,3,4,6}:{(1,1),(2,1),(6,1),(9,1),(10,1),(25,1)}
         1:{1,2,3,4,7}:{(0,1),(3,1),(21,1),(39,1)}
         2:{1,2,3,5}:{(0,1),(4,1)}
         3:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(9,1)}
         4:{1,2,4,5}:{(2,1),(7,1),(10,1)}
         5:{1,2,3,5,6}:{(2,1),(9,1),(10,1),(11,1),(25,1),(29,1),(31,1),(57,1)}
         6:{1,2,3,4}:{(13,1)}
         7:{3,4,5}:{(4,1),(17,1)}
         8:{1,2,4,5,7}:{(3,1),(4,1),(16,1),(18,1),(21,1),(47,1)}
         9:{1,2,3,6}:{(3,1),(18,1)}
        10:{1,2,4,6}:{(4,1),(5,1),(17,1),(21,1)}
        11:{1,2,3,5,7}:{(5,1),(19,1),(21,1),(39,1),(46,1),(47,1),(74,1)}
        12:{1,2,3,4,6}:{(6,1),(22,1),(23,1),(25,1),(51,1),(52,1)}
        13:{1,2,3,5}:{(6,1),(24,1),(25,1)}
        14:{1,3,4,5}:{(7,1),(24,1),(26,1),(49,1)}
        15:{2,3,4,5}:{(7,1),(24,1),(27,1),(49,1)}
        16:{3,4,5,7}:{(7,1),(8,1),(28,1),(30,1),(62,1)}
        17:{3,4,6}:{(7,1),(10,1),(29,1),(30,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(28,1),(31,1)}
        19:{1,2,3,6,7}:{(9,1),(11,1),(32,1),(63,1),(88,1)}
        20:{1,2,4,5,6}:{(10,1),(29,1),(31,1),(33,1),(54,1),(55,1),(57,1),(61,1)}
        21:{1,2,4,7}:{(10,1),(11,1),(30,1)}
        22:{1,2,3,4,7}:{(12,1),(34,1),(39,1),(70,1)}
        23:{1,2,3,5}:{(12,1),(35,1)}
        24:{1,2,4,5}:{(13,1),(14,1),(15,1),(38,1)}
        25:{1,2,3,6}:{(13,1),(38,1),(39,1)}
        26:{1,3,4,6}:{(14,1),(17,1),(38,1),(40,1),(41,1),(66,1)}
        27:{2,3,4,6}:{(15,1),(17,1),(38,1),(42,1),(43,1),(66,1)}
        28:{3,4,6}:{(16,1),(18,1),(44,1)}
        29:{3,5,6}:{(17,1),(20,1),(46,1)}
        30:{3,4,7}:{(17,1),(21,1),(46,1)}
        31:{1,2,5,6}:{(18,1),(44,1),(47,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(21,1),(45,1),(47,1)}
        33:{1,2,4,5,7}:{(20,1),(21,1),(46,1),(47,1),(48,1),(71,1),(72,1),(74,1),(77,1)}
        34:{1,2,3,5,7}:{(22,1),(23,1),(50,1),(51,1)}
        35:{1,2,4,5}:{(23,1),(49,1),(52,1)}
        36:{1,2,3,5,6}:{(23,1),(25,1),(51,1),(52,1),(53,1),(57,1),(80,1),(82,1)}
        37:{3,4,5,6}:{(29,1),(54,1),(55,1),(56,1),(61,1),(80,1),(98,1)}
        38:{1,2,4,6}:{(24,1),(25,1),(26,1),(27,1),(57,1),(58,1)}
        39:{1,2,3,7}:{(25,1),(58,1)}
        40:{1,3,5,6}:{(26,1),(29,1),(54,1),(57,1),(59,1),(80,1)}
        41:{1,3,4,7}:{(26,1),(30,1),(58,1),(59,1),(81,1)}
        42:{2,3,5,6}:{(27,1),(29,1),(55,1),(57,1),(60,1),(80,1)}
        43:{2,3,4,7}:{(27,1),(30,1),(58,1),(60,1),(81,1)}
        44:{3,5,6}:{(28,1),(31,1),(61,1),(62,1)}
        45:{3,4,6,7}:{(28,1),(30,1),(32,1),(62,1),(63,1),(89,1)}
        46:{3,5,7}:{(29,1),(30,1),(33,1),(63,1)}
        47:{1,2,5,7}:{(31,1),(32,1),(62,1)}
        48:{1,2,4,6,7}:{(33,1),(63,1),(64,1),(85,1),(86,1),(88,1),(89,1)}
        49:{3,4,5}:{(35,1),(66,1)}
        50:{1,2,4,5,7}:{(34,1),(35,1),(65,1),(67,1),(70,1),(93,1)}
        51:{1,2,3,6}:{(34,1),(67,1)}
        52:{1,2,4,6}:{(35,1),(36,1),(66,1),(70,1)}
        53:{1,2,3,5,7}:{(36,1),(39,1),(68,1),(70,1),(74,1),(92,1),(93,1)}
        54:{1,4,5,6}:{(37,1),(40,1),(71,1)}
        55:{2,4,5,6}:{(37,1),(42,1),(72,1)}
        56:{3,4,5,7}:{(37,1),(46,1),(71,1),(72,1),(73,1),(77,1),(92,1),(102,1)}
        57:{1,2,5,6}:{(38,1),(40,1),(42,1),(74,1)}
        58:{1,2,4,7}:{(38,1),(39,1),(41,1),(43,1),(74,1)}
        59:{1,3,5,7}:{(40,1),(41,1),(46,1),(71,1),(74,1),(75,1),(92,1)}
        60:{2,3,5,7}:{(42,1),(43,1),(46,1),(72,1),(74,1),(76,1),(92,1)}
        61:{4,5,6}:{(44,1),(77,1)}
        62:{3,5,7}:{(44,1),(45,1),(47,1),(77,1)}
        63:{3,6,7}:{(46,1),(48,1)}
        64:{1,2,5,6,7}:{(47,1),(48,1),(78,1),(95,1),(96,1)}
        65:{3,4,5,7}:{(49,1),(50,1),(79,1),(81,1),(99,1)}
        66:{3,4,6}:{(49,1),(52,1),(80,1),(81,1)}
        67:{1,2,4,6}:{(50,1),(51,1),(79,1),(82,1)}
        68:{1,2,3,6,7}:{(51,1),(53,1),(83,1),(88,1),(100,1)}
        69:{1,2,4,5,6}:{(52,1),(54,1),(55,1),(57,1),(80,1),(82,1),(84,1),(98,1)}
        70:{1,2,4,7}:{(52,1),(53,1),(81,1)}
        71:{1,4,5,7}:{(54,1),(56,1),(59,1),(85,1)}
        72:{2,4,5,7}:{(55,1),(56,1),(60,1),(86,1)}
        73:{3,4,6,7}:{(56,1),(63,1),(85,1),(86,1),(87,1),(89,1),(100,1),(104,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(60,1),(88,1)}
        75:{1,3,6,7}:{(59,1),(63,1),(85,1),(88,1),(100,1)}
        76:{2,3,6,7}:{(60,1),(63,1),(86,1),(88,1),(100,1)}
        77:{4,5,7}:{(61,1),(62,1),(89,1)}
        78:{3,5,6,7}:{(62,1),(63,1),(64,1),(89,1)}
        79:{3,4,6}:{(65,1),(67,1),(90,1)}
        80:{3,5,6}:{(66,1),(69,1),(92,1)}
        81:{3,4,7}:{(66,1),(70,1),(92,1)}
        82:{1,2,5,6}:{(67,1),(90,1),(93,1)}
        83:{1,2,4,6,7}:{(67,1),(68,1),(70,1),(91,1),(93,1)}
        84:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(72,1),(74,1),(92,1),(93,1),(94,1),(102,1)}
        85:{1,4,6,7}:{(71,1),(73,1),(75,1),(95,1)}
        86:{2,4,6,7}:{(72,1),(73,1),(76,1),(96,1)}
        87:{3,5,6,7}:{(73,1),(95,1),(96,1),(97,1)}
        88:{1,2,6,7}:{(74,1),(75,1),(76,1)}
        89:{4,6,7}:{(77,1),(78,1)}
        90:{3,5,6}:{(79,1),(82,1),(98,1),(99,1)}
        91:{3,4,6,7}:{(79,1),(81,1),(83,1),(99,1),(100,1),(104,1)}
        92:{3,5,7}:{(80,1),(81,1),(84,1),(100,1)}
        93:{1,2,5,7}:{(82,1),(83,1),(99,1)}
        94:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(100,1),(101,1),(104,1)}
        95:{1,5,6,7}:{(85,1),(87,1)}
        96:{2,5,6,7}:{(86,1),(87,1)}
        97:{4,5,6,7}:{(87,1),(89,1),(104,1)}
        98:{4,5,6}:{(90,1),(102,1)}
        99:{3,5,7}:{(90,1),(91,1),(93,1),(102,1)}
       100:{3,6,7}:{(92,1),(94,1)}
       101:{1,2,5,6,7}:{(93,1),(94,1),(95,1),(96,1),(103,1)}
       102:{4,5,7}:{(98,1),(99,1),(104,1)}
       103:{3,5,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{4,6,7}:{(102,1),(103,1)}

1830 :   0:{1,2,3,6,7}:{(3,1),(4,1),(47,1),(48,1),(57,1),(88,1)}
         1:{1,2,3,5,6}:{(4,1),(5,1),(19,1),(20,1),(21,1),(24,1),(57,1),(61,1),(62,1),(88,1)}
         2:{1,2,4,5,6}:{(8,1),(9,1),(12,1),(35,1),(36,1),(37,1),(38,1),(63,1),(91,1),(92,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(10,1),(11,1),(38,1),(65,1),(66,1)}
         4:{1,2,3,5,7}:{(0,1),(1,1),(10,1),(11,1),(32,1),(33,1),(39,1),(76,1),(77,1)}
         5:{1,2,4,6}:{(1,1),(11,1),(12,1),(13,1),(35,1),(36,1)}
         6:{1,2,5,6,7}:{(14,1),(15,1),(21,1),(80,1),(81,1)}
         7:{3,4,6,7}:{(3,1),(16,1),(23,1),(49,1),(57,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(17,1),(45,1),(51,1),(52,1),(53,1),(80,1),(81,1)}
         9:{3,5,6}:{(2,1),(17,1),(18,1),(24,1),(57,1)}
        10:{1,2,5,7}:{(3,1),(16,1),(21,1),(80,1),(81,1)}
        11:{1,2,4,7}:{(4,1),(5,1),(23,1),(51,1),(52,1)}
        12:{1,2,4,5}:{(5,1),(24,1),(54,1),(55,1),(61,1)}
        13:{3,4,6}:{(5,1),(23,1),(24,1),(57,1)}
        14:{3,5,6,7}:{(6,1),(27,1),(28,1),(29,1),(64,1)}
        15:{1,2,4,6,7}:{(6,1),(8,1),(27,1),(28,1),(38,1),(65,1),(66,1),(67,1)}
        16:{3,5,7}:{(7,1),(10,1),(29,1),(30,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(31,1)}
        18:{3,4,6}:{(9,1),(31,1),(34,1),(35,1),(36,1),(73,1)}
        19:{1,3,5,6}:{(9,1),(32,1),(35,1),(37,1),(42,1),(73,1),(74,1),(91,1),(105,1)}
        20:{2,3,5,6}:{(9,1),(33,1),(36,1),(37,1),(43,1),(73,1),(75,1),(92,1),(105,1)}
        21:{1,2,5,6}:{(10,1),(29,1),(38,1),(91,1),(92,1)}
        22:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(30,1),(38,1),(39,1),(69,1),(70,1),(76,1)}
        23:{3,4,7}:{(11,1),(13,1),(39,1)}
        24:{3,5}:{(12,1),(13,1)}
        25:{1,3,4,6}:{(13,1),(35,1),(40,1),(42,1),(44,1),(73,1),(74,1),(97,1),(107,1)}
        26:{2,3,4,6}:{(13,1),(36,1),(41,1),(43,1),(44,1),(73,1),(75,1),(97,1),(107,1)}
        27:{4,6,7}:{(14,1),(45,1),(49,1)}
        28:{3,6,7}:{(15,1),(17,1),(57,1)}
        29:{3,5,6}:{(16,1),(21,1),(49,1),(57,1)}
        30:{4,5,7}:{(16,1),(49,1)}
        31:{3,4,7}:{(17,1),(18,1),(51,1),(52,1),(86,1)}
        32:{1,3,5,7}:{(17,1),(19,1),(47,1),(51,1),(53,1),(80,1),(86,1),(101,1)}
        33:{2,3,5,7}:{(17,1),(20,1),(48,1),(52,1),(53,1),(81,1),(86,1),(101,1)}
        34:{3,4,5}:{(18,1),(24,1),(54,1),(55,1),(87,1)}
        35:{1,4,6}:{(18,1),(19,1),(51,1),(54,1),(109,1)}
        36:{2,4,6}:{(18,1),(20,1),(52,1),(55,1),(109,1)}
        37:{1,2,5,6}:{(19,1),(20,1),(53,1),(56,1),(61,1),(88,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(49,1),(57,1),(83,1),(84,1),(88,1)}
        39:{3,5,7}:{(22,1),(23,1),(24,1),(57,1)}
        40:{1,3,4,7}:{(23,1),(25,1),(51,1),(58,1),(60,1),(86,1),(103,1)}
        41:{2,3,4,7}:{(23,1),(26,1),(52,1),(59,1),(60,1),(86,1),(103,1)}
        42:{1,3,5}:{(24,1),(25,1),(54,1),(61,1),(87,1),(110,1)}
        43:{2,3,5}:{(24,1),(26,1),(55,1),(61,1),(87,1),(110,1)}
        44:{1,2,4,6}:{(25,1),(26,1),(60,1),(61,1),(62,1),(88,1),(90,1)}
        45:{4,5,7}:{(27,1),(63,1),(64,1),(106,1)}
        46:{3,4,6,7}:{(27,1),(28,1),(31,1),(64,1),(65,1),(66,1),(68,1),(94,1),(106,1)}
        47:{1,3,6,7}:{(28,1),(32,1),(65,1),(67,1),(74,1),(94,1)}
        48:{2,3,6,7}:{(28,1),(33,1),(66,1),(67,1),(75,1),(94,1)}
        49:{4,6}:{(29,1),(30,1)}
        50:{3,4,5,7}:{(30,1),(31,1),(34,1),(39,1),(64,1),(68,1),(69,1),(70,1),(96,1),(106,1),(111,1)}
        51:{1,4,7}:{(31,1),(32,1),(35,1),(106,1)}
        52:{2,4,7}:{(31,1),(33,1),(36,1),(106,1)}
        53:{1,2,5,7}:{(32,1),(33,1),(37,1),(67,1),(71,1)}
        54:{1,4,5}:{(34,1),(35,1),(42,1),(111,1)}
        55:{2,4,5}:{(34,1),(36,1),(43,1),(111,1)}
        56:{1,2,4,6}:{(35,1),(36,1),(37,1),(71,1),(72,1),(73,1)}
        57:{3,6}:{(38,1),(39,1)}
        58:{1,3,5,7}:{(39,1),(40,1),(42,1),(69,1),(74,1),(76,1),(96,1)}
        59:{2,3,5,7}:{(39,1),(41,1),(43,1),(70,1),(75,1),(76,1),(96,1)}
        60:{1,2,4,7}:{(40,1),(41,1),(44,1),(76,1),(77,1)}
        61:{1,2,5}:{(42,1),(43,1),(44,1)}
        62:{1,2,3,6}:{(44,1),(73,1),(77,1),(78,1)}
        63:{4,5,6}:{(45,1),(49,1),(79,1),(109,1)}
        64:{3,5,7}:{(45,1),(46,1),(79,1),(80,1),(81,1)}
        65:{1,4,6,7}:{(46,1),(47,1),(51,1),(80,1),(83,1)}
        66:{2,4,6,7}:{(46,1),(48,1),(52,1),(81,1),(84,1)}
        67:{1,2,6,7}:{(47,1),(48,1),(53,1),(88,1)}
        68:{3,4,6}:{(49,1),(50,1),(57,1),(79,1),(83,1),(84,1),(102,1),(109,1)}
        69:{1,4,5,7}:{(50,1),(51,1),(54,1),(58,1),(80,1),(83,1)}
        70:{2,4,5,7}:{(50,1),(52,1),(55,1),(59,1),(81,1),(84,1)}
        71:{1,2,4,7}:{(51,1),(52,1),(53,1),(56,1),(86,1)}
        72:{1,2,4,5}:{(54,1),(55,1),(56,1),(61,1),(87,1),(90,1)}
        73:{3,6}:{(56,1),(86,1),(87,1)}
        74:{1,3,6}:{(57,1),(58,1),(83,1),(88,1),(102,1)}
        75:{2,3,6}:{(57,1),(59,1),(84,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(58,1),(59,1),(60,1),(61,1),(88,1)}
        77:{1,2,3,7}:{(60,1),(62,1),(86,1)}
        78:{1,2,3,5}:{(61,1),(62,1),(87,1),(90,1)}
        79:{3,5,6}:{(63,1),(64,1),(68,1),(91,1),(92,1)}
        80:{1,5,7}:{(64,1),(65,1),(91,1)}
        81:{2,5,7}:{(64,1),(66,1),(92,1)}
        82:{1,2,4,6,7}:{(65,1),(66,1),(67,1),(71,1),(93,1),(94,1),(95,1),(106,1)}
        83:{1,4,6}:{(68,1),(69,1),(74,1),(91,1)}
        84:{2,4,6}:{(68,1),(70,1),(75,1),(92,1)}
        85:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(72,1),(76,1),(93,1),(95,1),(96,1),(99,1),(106,1),(108,1),(111,1)}
        86:{3,7}:{(71,1),(73,1)}
        87:{3,5}:{(72,1),(73,1),(97,1)}
        88:{1,2,6}:{(74,1),(75,1),(76,1)}
        89:{1,2,3,5,7}:{(76,1),(77,1),(78,1),(96,1),(98,1),(99,1),(108,1)}
        90:{1,2,4}:{(78,1),(97,1)}
        91:{1,5,6}:{(79,1),(80,1),(83,1)}
        92:{2,5,6}:{(79,1),(81,1),(84,1)}
        93:{1,2,5,7}:{(80,1),(81,1),(82,1),(100,1),(101,1)}
        94:{3,6,7}:{(82,1),(86,1),(101,1),(102,1)}
        95:{1,2,4,6}:{(83,1),(84,1),(85,1),(88,1),(100,1),(102,1),(109,1)}
        96:{3,5,7}:{(85,1),(86,1),(87,1),(102,1),(103,1),(110,1)}
        97:{3,4}:{(87,1),(90,1)}
        98:{1,2,3,6}:{(88,1),(89,1),(102,1),(104,1)}
        99:{1,2,4,7}:{(89,1),(90,1),(103,1),(104,1)}
       100:{1,2,5,6}:{(91,1),(92,1),(93,1),(95,1),(105,1),(108,1)}
       101:{3,5,7}:{(93,1),(94,1),(105,1),(106,1)}
       102:{3,6}:{(95,1),(96,1)}
       103:{3,4,7}:{(96,1),(97,1),(99,1),(106,1),(107,1)}
       104:{1,2,4,6}:{(98,1),(99,1),(107,1),(108,1)}
       105:{3,5,6}:{(100,1),(101,1),(102,1),(109,1),(110,1)}
       106:{4,7}:{(101,1),(109,1)}
       107:{3,4,6}:{(102,1),(103,1),(104,1),(109,1),(110,1)}
       108:{1,2,5}:{(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5}:{(107,1),(108,1),(111,1)}
       111:{4,5}:{(109,1),(110,1)}

1831 :   0:{1,2,3,4,7}:{(1,1),(2,1),(26,1),(47,1)}
         1:{1,2,3,4,6}:{(0,1),(3,1),(5,1),(12,1),(14,1),(33,1)}
         2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1)}
         3:{1,2,3,5}:{(1,1),(7,1)}
         4:{1,2,4,5,7}:{(2,1),(6,1),(7,1),(9,1),(26,1),(27,1)}
         5:{1,2,3,6}:{(2,1),(9,1)}
         6:{3,4,5,7}:{(4,1),(11,1),(13,1),(31,1),(37,1)}
         7:{1,2,4,5}:{(3,1),(13,1),(14,1)}
         8:{1,2,3,5,6}:{(3,1),(5,1),(14,1),(15,1),(16,1),(33,1),(36,1),(63,1)}
         9:{1,2,4,6}:{(4,1),(5,1),(11,1),(16,1)}
        10:{1,2,3,6,7}:{(5,1),(15,1),(17,1),(67,1),(90,1)}
        11:{3,4,6}:{(6,1),(9,1),(19,1)}
        12:{1,2,3,4}:{(21,1)}
        13:{3,4,5}:{(7,1),(24,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(26,1)}
        15:{1,2,3,5,7}:{(8,1),(10,1),(26,1),(27,1),(47,1),(52,1),(78,1)}
        16:{1,2,5,6}:{(9,1),(19,1),(27,1)}
        17:{1,2,4,6,7}:{(9,1),(10,1),(20,1),(26,1),(27,1)}
        18:{1,2,3,4,6}:{(12,1),(28,1),(29,1),(33,1),(55,1),(57,1)}
        19:{3,5,6}:{(11,1),(16,1),(30,1),(31,1)}
        20:{3,4,6,7}:{(11,1),(17,1),(31,1),(37,1),(62,1),(67,1)}
        21:{1,2,3,5}:{(12,1),(32,1),(33,1)}
        22:{1,3,4,5}:{(13,1),(32,1),(34,1),(56,1)}
        23:{2,3,4,5}:{(13,1),(32,1),(35,1),(56,1)}
        24:{3,4,6}:{(13,1),(14,1),(36,1),(37,1)}
        25:{1,2,4,5,6}:{(14,1),(16,1),(30,1),(36,1),(38,1),(59,1),(60,1),(63,1)}
        26:{1,2,4,7}:{(14,1),(15,1),(37,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(31,1)}
        28:{1,2,3,4,7}:{(18,1),(40,1),(47,1),(74,1)}
        29:{1,2,3,5}:{(18,1),(41,1)}
        30:{4,5,6}:{(19,1),(44,1)}
        31:{3,5,7}:{(19,1),(20,1),(27,1),(44,1)}
        32:{1,2,4,5}:{(21,1),(22,1),(23,1),(46,1)}
        33:{1,2,3,6}:{(21,1),(46,1),(47,1)}
        34:{1,3,4,6}:{(22,1),(24,1),(46,1),(48,1),(49,1),(72,1)}
        35:{2,3,4,6}:{(23,1),(24,1),(46,1),(50,1),(51,1),(72,1)}
        36:{3,5,6}:{(24,1),(25,1),(52,1)}
        37:{3,4,7}:{(24,1),(26,1),(52,1)}
        38:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(44,1),(52,1),(53,1),(75,1),(76,1),(78,1)}
        39:{1,2,5,6,7}:{(27,1),(45,1),(53,1),(94,1),(95,1)}
        40:{1,2,3,5,7}:{(28,1),(29,1),(54,1),(55,1)}
        41:{1,2,4,5}:{(29,1),(56,1),(57,1)}
        42:{1,2,3,5,6}:{(29,1),(33,1),(55,1),(57,1),(58,1),(63,1),(82,1),(85,1)}
        43:{3,4,5,6}:{(30,1),(36,1),(59,1),(60,1),(61,1),(85,1),(98,1)}
        44:{4,5,7}:{(30,1),(31,1),(62,1)}
        45:{3,5,6,7}:{(31,1),(39,1),(62,1),(67,1)}
        46:{1,2,4,6}:{(32,1),(33,1),(34,1),(35,1),(63,1),(64,1)}
        47:{1,2,3,7}:{(33,1),(64,1)}
        48:{1,3,5,6}:{(34,1),(36,1),(59,1),(63,1),(65,1),(85,1)}
        49:{1,3,4,7}:{(34,1),(37,1),(64,1),(65,1),(86,1)}
        50:{2,3,5,6}:{(35,1),(36,1),(60,1),(63,1),(66,1),(85,1)}
        51:{2,3,4,7}:{(35,1),(37,1),(64,1),(66,1),(86,1)}
        52:{3,5,7}:{(36,1),(37,1),(38,1),(67,1)}
        53:{1,2,4,6,7}:{(38,1),(39,1),(62,1),(67,1),(88,1),(89,1),(90,1)}
        54:{1,2,4,5,7}:{(40,1),(41,1),(68,1),(69,1),(74,1),(93,1)}
        55:{1,2,3,6}:{(40,1),(69,1)}
        56:{3,4,5}:{(41,1),(72,1)}
        57:{1,2,4,6}:{(41,1),(42,1),(72,1),(74,1)}
        58:{1,2,3,5,7}:{(42,1),(47,1),(70,1),(74,1),(78,1),(93,1),(96,1)}
        59:{1,4,5,6}:{(43,1),(48,1),(75,1)}
        60:{2,4,5,6}:{(43,1),(50,1),(76,1)}
        61:{3,4,5,7}:{(43,1),(44,1),(52,1),(75,1),(76,1),(77,1),(96,1),(102,1)}
        62:{4,6,7}:{(44,1),(45,1)}
        63:{1,2,5,6}:{(46,1),(48,1),(50,1),(78,1)}
        64:{1,2,4,7}:{(46,1),(47,1),(49,1),(51,1),(78,1)}
        65:{1,3,5,7}:{(48,1),(49,1),(52,1),(75,1),(78,1),(79,1),(96,1)}
        66:{2,3,5,7}:{(50,1),(51,1),(52,1),(76,1),(78,1),(80,1),(96,1)}
        67:{3,6,7}:{(52,1),(53,1)}
        68:{3,4,5,7}:{(54,1),(56,1),(81,1),(86,1),(99,1)}
        69:{1,2,4,6}:{(54,1),(55,1),(81,1),(82,1)}
        70:{1,2,3,6,7}:{(55,1),(58,1),(83,1),(90,1),(101,1)}
        71:{4,5,6,7}:{(62,1),(84,1),(104,1)}
        72:{3,4,6}:{(56,1),(57,1),(85,1),(86,1)}
        73:{1,2,4,5,6}:{(57,1),(59,1),(60,1),(63,1),(82,1),(85,1),(87,1),(98,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(86,1)}
        75:{1,4,5,7}:{(59,1),(61,1),(65,1),(88,1)}
        76:{2,4,5,7}:{(60,1),(61,1),(66,1),(89,1)}
        77:{3,4,6,7}:{(61,1),(62,1),(67,1),(84,1),(88,1),(89,1),(101,1),(104,1)}
        78:{1,2,5,7}:{(63,1),(64,1),(65,1),(66,1),(90,1)}
        79:{1,3,6,7}:{(65,1),(67,1),(88,1),(90,1),(101,1)}
        80:{2,3,6,7}:{(66,1),(67,1),(89,1),(90,1),(101,1)}
        81:{3,4,6}:{(68,1),(69,1),(91,1)}
        82:{1,2,5,6}:{(69,1),(91,1),(93,1)}
        83:{1,2,4,6,7}:{(69,1),(70,1),(74,1),(92,1),(93,1)}
        84:{3,5,6,7}:{(71,1),(77,1),(94,1),(95,1)}
        85:{3,5,6}:{(72,1),(73,1),(96,1)}
        86:{3,4,7}:{(72,1),(74,1),(96,1)}
        87:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(76,1),(78,1),(93,1),(96,1),(97,1),(102,1)}
        88:{1,4,6,7}:{(75,1),(77,1),(79,1),(94,1)}
        89:{2,4,6,7}:{(76,1),(77,1),(80,1),(95,1)}
        90:{1,2,6,7}:{(78,1),(79,1),(80,1)}
        91:{3,5,6}:{(81,1),(82,1),(98,1),(99,1)}
        92:{3,4,6,7}:{(81,1),(83,1),(86,1),(99,1),(101,1),(104,1)}
        93:{1,2,5,7}:{(82,1),(83,1),(99,1)}
        94:{1,5,6,7}:{(84,1),(88,1)}
        95:{2,5,6,7}:{(84,1),(89,1)}
        96:{3,5,7}:{(85,1),(86,1),(87,1),(101,1)}
        97:{1,2,4,6,7}:{(87,1),(88,1),(89,1),(90,1),(100,1),(101,1),(104,1)}
        98:{4,5,6}:{(91,1),(102,1)}
        99:{3,5,7}:{(91,1),(92,1),(93,1),(102,1)}
       100:{1,2,5,6,7}:{(93,1),(94,1),(95,1),(97,1),(103,1)}
       101:{3,6,7}:{(96,1),(97,1)}
       102:{4,5,7}:{(98,1),(99,1),(104,1)}
       103:{3,5,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{4,6,7}:{(102,1),(103,1)}

1832 :   0:{1,4,5,6,7}:{(1,1),(12,1),(119,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(147,1)}
         2:{1,3,4,5,7}:{(7,1),(8,1),(10,1),(59,1),(73,1),(76,1),(108,1),(116,1),(123,1),(126,1)}
         3:{1,3,4,6,7}:{(7,1),(10,1),(11,1),(12,1),(39,1),(73,1),(78,1)}
         4:{3,4,6,7}:{(1,1),(9,1),(12,1),(13,1),(39,1),(130,1)}
         5:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(14,1),(39,1),(77,1)}
         6:{2,5,6,7}:{(1,1),(13,1),(171,1)}
         7:{1,3,4,6}:{(2,1),(16,1),(17,1),(89,1),(102,1),(152,1),(154,1)}
         8:{1,2,4,5,7}:{(2,1),(17,1),(18,1),(21,1),(42,1),(53,1),(86,1),(90,1)}
         9:{3,4,5,7}:{(4,1),(15,1),(19,1),(20,1),(52,1)}
        10:{1,3,5,7}:{(3,1),(16,1),(19,1),(21,1),(52,1),(104,1)}
        11:{1,2,4,6,7}:{(3,1),(17,1),(21,1),(22,1),(53,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(19,1),(102,1)}
        13:{2,4,6,7}:{(4,1),(6,1),(20,1),(23,1),(156,1)}
        14:{1,2,5,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(96,1),(104,1)}
        15:{3,4,5,6}:{(9,1),(27,1),(28,1),(65,1),(130,1),(161,1)}
        16:{1,3,5,6}:{(7,1),(10,1),(27,1),(29,1),(65,1),(108,1),(132,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(29,1),(30,1),(66,1)}
        18:{2,3,5,7}:{(8,1),(30,1),(31,1),(67,1),(123,1)}
        19:{1,4,5,7}:{(9,1),(10,1),(12,1),(27,1)}
        20:{2,4,5,7}:{(9,1),(13,1),(28,1),(33,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(29,1),(35,1)}
        22:{2,3,6,7}:{(11,1),(30,1),(35,1),(39,1)}
        23:{2,3,6,7}:{(13,1),(33,1),(38,1),(39,1),(174,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(34,1),(38,1),(39,1),(40,1),(78,1),(124,1)}
        25:{2,3,5,6,7}:{(14,1),(35,1),(39,1),(40,1),(75,1),(79,1)}
        26:{1,2,3,5,7}:{(18,1),(41,1),(42,1),(83,1),(86,1)}
        27:{1,4,5,6}:{(15,1),(16,1),(19,1),(102,1),(135,1)}
        28:{2,4,5,6}:{(15,1),(20,1),(43,1),(156,1),(180,1)}
        29:{1,2,5,6}:{(16,1),(17,1),(21,1),(45,1),(86,1)}
        30:{2,3,6}:{(17,1),(18,1),(152,1)}
        31:{2,3,4,7}:{(18,1),(42,1),(46,1),(53,1),(94,1)}
        32:{1,2,3,6,7}:{(22,1),(41,1),(49,1),(50,1),(56,1),(137,1),(152,1),(190,1),(191,1)}
        33:{2,3,5,7}:{(20,1),(23,1),(43,1),(48,1),(51,1),(52,1)}
        34:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(24,1),(44,1),(51,1),(52,1),(53,1),(58,1),(97,1),(104,1)}
        35:{2,3,5,7}:{(21,1),(22,1),(45,1),(52,1),(53,1)}
        36:{2,3,4,6,7}:{(22,1),(46,1),(50,1),(53,1),(54,1),(57,1),(94,1),(99,1),(152,1)}
        37:{1,3,4,6,7}:{(50,1),(55,1),(82,1),(94,1),(102,1),(137,1),(152,1),(157,1),(183,1)}
        38:{1,2,6,7}:{(23,1),(51,1),(56,1),(190,1)}
        39:{3,6,7}:{(24,1),(52,1),(152,1)}
        40:{2,4,6,7}:{(25,1),(53,1),(57,1),(58,1),(99,1)}
        41:{1,2,3,6}:{(26,1),(30,1),(62,1),(109,1)}
        42:{1,2,4,7}:{(26,1),(31,1),(59,1),(62,1)}
        43:{2,3,5,6}:{(28,1),(33,1),(60,1),(64,1),(65,1),(165,1),(174,1)}
        44:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(34,1),(64,1),(65,1),(66,1),(80,1),(112,1),(115,1),(124,1),(132,1)}
        45:{2,3,5,6}:{(29,1),(30,1),(35,1),(65,1),(66,1),(67,1)}
        46:{2,3,4,6}:{(30,1),(31,1),(62,1),(66,1),(67,1),(111,1)}
        47:{2,3,4,5,7}:{(31,1),(63,1),(67,1),(68,1),(74,1),(118,1),(123,1),(129,1),(161,1),(197,1)}
        48:{2,3,4,7}:{(33,1),(60,1),(69,1),(73,1)}
        49:{1,2,3,5,7}:{(32,1),(35,1),(61,1),(70,1),(71,1),(72,1),(120,1),(123,1),(163,1),(173,1),(199,1)}
        50:{1,2,4,6,7}:{(32,1),(36,1),(37,1),(62,1),(70,1),(71,1),(78,1),(124,1),(178,1)}
        51:{1,2,5,7}:{(33,1),(38,1),(64,1),(69,1),(72,1)}
        52:{3,5,7}:{(34,1),(39,1),(65,1),(73,1)}
        53:{2,4,7}:{(35,1),(66,1),(73,1)}
        54:{2,3,5,7}:{(36,1),(67,1),(71,1),(74,1),(75,1),(79,1),(123,1)}
        55:{1,3,5,7}:{(37,1),(71,1),(76,1),(77,1),(108,1),(123,1),(172,1)}
        56:{1,3,6,7}:{(38,1),(39,1),(72,1),(78,1),(175,1)}
        57:{3,4,6,7}:{(39,1),(40,1),(73,1),(78,1),(79,1),(127,1)}
        58:{2,4,5,7}:{(40,1),(79,1),(80,1)}
        59:{1,3,4,7}:{(42,1),(82,1),(83,1),(94,1),(183,1)}
        60:{2,3,4,6}:{(43,1),(48,1),(81,1),(84,1),(89,1)}
        61:{1,2,3,5,6}:{(41,1),(45,1),(49,1),(85,1),(86,1),(88,1),(96,1),(136,1),(138,1),(141,1),(152,1),(184,1),(185,1),(190,1)}
        62:{1,2,4,6}:{(41,1),(42,1),(46,1),(82,1),(86,1)}
        63:{1,2,4,5,7}:{(42,1),(47,1),(83,1),(86,1),(87,1),(135,1),(143,1),(183,1)}
        64:{1,2,5,6}:{(43,1),(51,1),(84,1),(88,1),(184,1),(190,1)}
        65:{3,5,6}:{(44,1),(52,1),(89,1),(141,1),(152,1)}
        66:{2,4,6}:{(45,1),(53,1),(89,1),(90,1)}
        67:{2,3,5}:{(46,1),(86,1),(90,1),(141,1)}
        68:{2,3,4,6}:{(47,1),(87,1),(91,1),(99,1),(152,1),(156,1),(182,1)}
        69:{1,2,4,7}:{(48,1),(51,1),(84,1),(93,1),(97,1)}
        70:{1,2,4,7}:{(49,1),(53,1),(85,1),(94,1),(97,1),(183,1),(204,1)}
        71:{1,2,5,7}:{(50,1),(54,1),(55,1),(86,1),(96,1),(104,1),(189,1)}
        72:{1,3,5,7}:{(51,1),(52,1),(56,1),(88,1),(93,1),(97,1),(104,1)}
        73:{3,4,7}:{(52,1),(53,1),(89,1),(97,1)}
        74:{2,4,5,7}:{(53,1),(54,1),(90,1),(98,1),(99,1)}
        75:{2,3,5,6}:{(54,1),(96,1),(99,1),(105,1),(152,1)}
        76:{1,4,5,7}:{(55,1),(101,1),(102,1),(135,1),(183,1)}
        77:{1,3,5,6}:{(55,1),(96,1),(102,1),(147,1),(152,1)}
        78:{1,4,6,7}:{(56,1),(57,1),(97,1),(104,1),(154,1)}
        79:{3,5,7}:{(57,1),(58,1),(104,1),(105,1)}
        80:{2,4,5,6}:{(58,1),(99,1),(105,1)}
        81:{2,3,4,5}:{(60,1),(107,1),(116,1),(165,1),(193,1)}
        82:{1,3,4,6}:{(59,1),(62,1),(108,1),(109,1),(111,1),(162,1)}
        83:{1,3,5,7}:{(59,1),(63,1),(108,1),(109,1),(123,1)}
        84:{1,2,4,6}:{(60,1),(64,1),(69,1),(107,1),(110,1),(115,1)}
        85:{1,2,4,6}:{(61,1),(66,1),(70,1),(111,1),(112,1),(115,1),(162,1),(195,1)}
        86:{1,2,5}:{(62,1),(67,1),(108,1)}
        87:{1,2,4,6}:{(63,1),(68,1),(109,1),(113,1),(162,1)}
        88:{1,3,5,6}:{(64,1),(65,1),(72,1),(110,1),(115,1),(132,1),(166,1),(175,1)}
        89:{3,4,6}:{(65,1),(66,1),(73,1),(115,1),(116,1)}
        90:{2,4,5}:{(66,1),(67,1),(116,1)}
        91:{2,3,5,6}:{(67,1),(68,1),(113,1),(117,1),(118,1),(167,1),(171,1)}
        92:{2,3,4,6,7}:{(68,1),(114,1),(118,1),(128,1),(176,1),(178,1),(197,1)}
        93:{1,3,7}:{(69,1),(110,1)}
        94:{3,4,7}:{(70,1),(111,1),(123,1)}
        95:{1,2,4,5,7}:{(70,1),(71,1),(74,1),(76,1),(112,1),(123,1),(124,1),(126,1),(129,1),(173,1)}
        96:{1,2,5,6}:{(71,1),(75,1),(77,1),(124,1),(132,1),(171,1)}
        97:{1,4,7}:{(72,1),(73,1),(115,1)}
        98:{3,4,5,7}:{(73,1),(74,1),(79,1),(116,1),(123,1),(126,1),(127,1)}
        99:{2,4,6}:{(74,1),(75,1),(127,1)}
       100:{2,3,5,6,7}:{(75,1),(118,1),(125,1),(128,1),(133,1),(176,1)}
       101:{3,4,5,7}:{(76,1),(123,1),(129,1),(130,1),(161,1),(172,1),(197,1)}
       102:{1,4,6}:{(76,1),(77,1),(130,1)}
       103:{1,3,5,6,7}:{(77,1),(125,1),(131,1),(163,1),(172,1),(176,1)}
       104:{1,5,7}:{(78,1),(79,1),(132,1)}
       105:{3,5,6}:{(79,1),(80,1),(127,1),(132,1)}
       106:{2,4,5,6,7}:{(80,1),(128,1),(133,1)}
       107:{1,2,4,5}:{(81,1),(84,1),(134,1),(144,1),(179,1),(184,1)}
       108:{1,3,5}:{(82,1),(86,1),(135,1),(141,1)}
       109:{1,3,6}:{(83,1),(87,1),(152,1)}
       110:{1,3,6}:{(84,1),(93,1),(134,1)}
       111:{3,4,6}:{(85,1),(94,1),(141,1),(152,1)}
       112:{1,2,4,5}:{(85,1),(86,1),(90,1),(135,1),(141,1),(144,1),(180,1),(184,1)}
       113:{1,2,5,6}:{(86,1),(87,1),(91,1),(136,1),(143,1)}
       114:{1,2,4,6,7}:{(87,1),(92,1),(137,1),(143,1),(183,1)}
       115:{1,4,6}:{(88,1),(89,1),(97,1),(144,1)}
       116:{3,4,5}:{(89,1),(90,1),(141,1),(144,1)}
       117:{2,4,5,6}:{(90,1),(91,1),(99,1),(145,1),(146,1)}
       118:{2,3,5,7}:{(91,1),(92,1),(143,1),(146,1),(187,1),(189,1)}
       119:{1,4,5,6}:{(102,1),(147,1),(148,1)}
       120:{1,2,3,7}:{(93,1),(138,1),(149,1),(209,1)}
       121:{2,3,4,7}:{(94,1),(139,1),(149,1),(150,1),(204,1),(209,1)}
       122:{1,3,4,7}:{(93,1),(94,1),(97,1),(140,1),(149,1),(151,1)}
       123:{3,5,7}:{(94,1),(95,1),(141,1),(152,1)}
       124:{1,2,4,6}:{(95,1),(96,1),(99,1),(102,1),(152,1),(154,1),(156,1),(190,1)}
       125:{1,2,5,6,7}:{(96,1),(100,1),(103,1),(143,1),(153,1),(158,1),(189,1)}
       126:{1,4,5,7}:{(97,1),(98,1),(104,1),(144,1),(151,1),(154,1)}
       127:{3,4,6}:{(98,1),(99,1),(105,1),(152,1),(154,1)}
       128:{2,4,6,7}:{(99,1),(100,1),(146,1),(155,1)}
       129:{2,4,5,7}:{(101,1),(150,1),(156,1),(180,1),(189,1),(204,1)}
       130:{3,4,6}:{(101,1),(102,1),(147,1),(152,1),(156,1)}
       131:{1,4,6,7}:{(102,1),(103,1),(148,1),(157,1),(183,1)}
       132:{1,5,6}:{(104,1),(105,1),(154,1)}
       133:{3,5,6,7}:{(105,1),(106,1),(155,1),(158,1)}
       134:{1,3,5}:{(107,1),(110,1),(160,1)}
       135:{1,4,5}:{(108,1),(161,1),(162,1)}
       136:{1,3,5,6}:{(108,1),(109,1),(113,1),(162,1),(163,1),(167,1)}
       137:{1,3,6,7}:{(109,1),(114,1),(163,1),(176,1)}
       138:{1,2,3,6}:{(110,1),(120,1),(159,1),(164,1),(207,1)}
       139:{2,3,4,6}:{(111,1),(121,1),(164,1),(165,1),(174,1),(193,1),(195,1),(207,1)}
       140:{1,3,4,6}:{(110,1),(111,1),(115,1),(122,1),(160,1),(164,1),(166,1),(175,1)}
       141:{3,5}:{(111,1),(112,1)}
       142:{1,2,4,5,6}:{(112,1),(113,1),(117,1),(119,1),(124,1),(162,1),(167,1),(168,1),(169,1),(171,1),(195,1),(198,1)}
       143:{1,2,5,7}:{(113,1),(114,1),(118,1),(163,1)}
       144:{1,4,5}:{(115,1),(116,1),(166,1)}
       145:{3,4,5,6}:{(116,1),(117,1),(127,1),(167,1),(169,1),(170,1)}
       146:{2,4,5,7}:{(117,1),(118,1),(128,1),(170,1)}
       147:{3,5,6}:{(119,1),(130,1),(171,1),(172,1)}
       148:{1,4,5,7}:{(119,1),(131,1),(172,1)}
       149:{1,2,4,7}:{(120,1),(121,1),(122,1),(164,1),(173,1)}
       150:{2,3,5,7}:{(121,1),(123,1),(129,1),(165,1),(173,1),(174,1)}
       151:{1,3,5,7}:{(122,1),(123,1),(126,1),(166,1),(173,1),(175,1)}
       152:{3,6}:{(123,1),(124,1)}
       153:{1,2,4,6,7}:{(124,1),(125,1),(128,1),(131,1),(168,1),(176,1),(177,1),(178,1),(201,1)}
       154:{1,4,6}:{(126,1),(127,1),(132,1),(175,1)}
       155:{3,4,6,7}:{(127,1),(128,1),(133,1),(170,1),(176,1),(177,1)}
       156:{2,4,6}:{(129,1),(130,1),(171,1),(174,1)}
       157:{3,4,6,7}:{(130,1),(131,1),(172,1),(176,1),(178,1),(197,1)}
       158:{1,5,6,7}:{(132,1),(133,1),(177,1)}
       159:{1,2,3,5}:{(134,1),(138,1),(179,1),(184,1),(202,1)}
       160:{1,3,4}:{(134,1),(179,1)}
       161:{3,4,5}:{(135,1),(141,1),(180,1),(182,1)}
       162:{1,4,6}:{(135,1),(136,1),(182,1),(183,1)}
       163:{1,3,5,7}:{(136,1),(137,1),(143,1),(183,1),(187,1)}
       164:{1,2,4,6}:{(138,1),(139,1),(140,1),(149,1),(179,1),(184,1),(190,1)}
       165:{2,3,5}:{(139,1),(141,1),(180,1),(184,1)}
       166:{1,3,5}:{(140,1),(141,1),(144,1),(184,1)}
       167:{3,5,6}:{(141,1),(142,1),(152,1),(182,1),(187,1)}
       168:{1,2,4,5,7}:{(142,1),(143,1),(146,1),(148,1),(153,1),(183,1),(187,1),(188,1),(189,1),(204,1),(206,1)}
       169:{1,4,5,6}:{(144,1),(145,1),(154,1),(186,1),(188,1)}
       170:{3,4,5,7}:{(145,1),(146,1),(155,1),(187,1),(188,1)}
       171:{2,5,6}:{(147,1),(156,1),(189,1)}
       172:{3,5,7}:{(147,1),(148,1),(157,1),(189,1)}
       173:{1,2,5,7}:{(149,1),(150,1),(151,1),(184,1),(190,1)}
       174:{2,3,6}:{(150,1),(152,1),(156,1),(190,1)}
       175:{1,3,6}:{(151,1),(152,1),(154,1),(190,1)}
       176:{3,6,7}:{(152,1),(153,1),(187,1)}
       177:{1,4,6,7}:{(154,1),(155,1),(158,1),(188,1),(192,1)}
       178:{2,4,6,7}:{(156,1),(157,1),(189,1),(191,1),(204,1)}
       179:{1,2,4}:{(159,1),(160,1),(193,1)}
       180:{2,4,5}:{(161,1),(165,1),(195,1)}
       181:{1,3,4,5}:{(160,1),(161,1),(166,1),(194,1),(196,1)}
       182:{3,4,6}:{(161,1),(162,1),(167,1),(195,1),(197,1)}
       183:{1,4,7}:{(162,1),(163,1),(197,1)}
       184:{1,2,5}:{(164,1),(165,1),(166,1)}
       185:{2,3,5,6}:{(165,1),(167,1),(171,1),(174,1),(195,1),(198,1),(199,1),(207,1)}
       186:{1,3,5,6}:{(166,1),(167,1),(169,1),(175,1),(196,1),(198,1),(200,1)}
       187:{3,5,7}:{(167,1),(168,1),(176,1),(197,1)}
       188:{1,4,5,7}:{(169,1),(170,1),(177,1),(200,1)}
       189:{2,5,7}:{(171,1),(172,1),(178,1)}
       190:{1,2,6}:{(173,1),(174,1),(175,1)}
       191:{2,3,6,7}:{(174,1),(176,1),(178,1),(199,1),(201,1)}
       192:{1,3,6,7}:{(175,1),(176,1),(177,1),(200,1),(201,1)}
       193:{2,3,4}:{(179,1),(202,1)}
       194:{1,2,4,5}:{(179,1),(180,1),(181,1),(184,1),(202,1),(203,1)}
       195:{2,4,6}:{(180,1),(182,1),(185,1),(204,1)}
       196:{1,3,4,6}:{(181,1),(182,1),(186,1),(203,1),(205,1)}
       197:{3,4,7}:{(182,1),(183,1),(187,1),(204,1)}
       198:{1,2,5,6}:{(184,1),(185,1),(186,1),(190,1),(203,1),(206,1)}
       199:{2,3,5,7}:{(185,1),(187,1),(189,1),(191,1),(204,1),(206,1),(209,1)}
       200:{1,3,5,7}:{(186,1),(187,1),(188,1),(192,1),(205,1),(206,1)}
       201:{1,2,6,7}:{(190,1),(191,1),(192,1),(206,1)}
       202:{2,3,5}:{(193,1),(194,1),(207,1)}
       203:{1,2,4,6}:{(194,1),(195,1),(196,1),(198,1),(207,1),(208,1)}
       204:{2,4,7}:{(195,1),(197,1),(199,1)}
       205:{1,3,4,7}:{(196,1),(197,1),(200,1),(208,1)}
       206:{1,2,5,7}:{(198,1),(199,1),(200,1),(201,1),(208,1)}
       207:{2,3,6}:{(202,1),(203,1),(209,1)}
       208:{1,2,4,7}:{(203,1),(204,1),(205,1),(206,1),(209,1)}
       209:{2,3,7}:{(207,1),(208,1)}

1833 :   0:{2,3,4,5,6}:{(2,1),(3,1),(34,1),(56,1),(84,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(19,1),(92,1)}
         2:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(42,1),(45,1),(71,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(23,1),(70,1),(72,1)}
         4:{1,4,5,6,7}:{(1,1),(9,1),(99,1)}
         5:{2,4,5,6,7}:{(1,1),(10,1),(83,1)}
         6:{2,3,4,6,7}:{(2,1),(10,1),(12,1),(29,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(12,1),(13,1),(32,1),(55,1),(58,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(15,1)}
         9:{1,3,5,6,7}:{(4,1),(16,1),(17,1),(19,1),(90,1)}
        10:{2,3,5,6,7}:{(5,1),(6,1),(18,1),(19,1),(71,1)}
        11:{1,2,4,5,6,7}:{(4,1),(5,1),(17,1),(18,1),(19,1),(40,1),(41,1),(68,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(18,1),(20,1),(41,1)}
        13:{1,3,5,7}:{(7,1),(8,1),(20,1),(22,1)}
        14:{1,2,3,5,6}:{(8,1),(21,1),(23,1),(48,1),(72,1),(73,1)}
        15:{1,3,4,6}:{(8,1),(22,1),(23,1),(24,1)}
        16:{1,3,4,6,7}:{(9,1),(25,1),(26,1),(29,1)}
        17:{1,2,5,6,7}:{(9,1),(26,1),(27,1),(79,1)}
        18:{1,2,5,6,7}:{(10,1),(12,1),(28,1),(58,1)}
        19:{3,5,6,7}:{(11,1),(29,1),(81,1)}
        20:{1,3,6,7}:{(12,1),(13,1)}
        21:{1,2,3,5,7}:{(13,1),(14,1),(30,1),(32,1),(58,1),(60,1)}
        22:{1,3,4,7}:{(13,1),(15,1),(32,1)}
        23:{1,2,4,6}:{(14,1),(15,1),(32,1),(34,1),(35,1)}
        24:{1,3,4,5}:{(15,1),(35,1)}
        25:{1,3,4,5,7}:{(16,1),(36,1),(37,1),(42,1),(87,1),(90,1)}
        26:{1,2,4,6,7}:{(16,1),(17,1),(37,1),(38,1),(40,1)}
        27:{2,3,5,6,7}:{(17,1),(19,1),(38,1),(40,1),(66,1)}
        28:{1,3,5,6,7}:{(18,1),(19,1),(20,1),(41,1),(44,1)}
        29:{3,4,6,7}:{(19,1),(40,1),(41,1),(42,1)}
        30:{1,2,3,6,7}:{(20,1),(21,1),(43,1),(73,1)}
        31:{1,3,4,6,7}:{(20,1),(22,1),(41,1),(43,1),(44,1),(47,1),(67,1)}
        32:{1,2,4,7}:{(21,1),(22,1),(23,1),(45,1)}
        33:{1,3,4,5,7}:{(22,1),(24,1),(44,1),(46,1),(47,1),(92,1)}
        34:{2,3,4,6}:{(23,1),(45,1),(48,1),(73,1)}
        35:{1,2,4,5}:{(23,1),(24,1),(48,1)}
        36:{1,3,4,5,6}:{(25,1),(49,1),(56,1),(95,1),(100,1)}
        37:{1,2,4,5,7}:{(25,1),(26,1),(49,1),(50,1),(54,1),(76,1),(79,1)}
        38:{2,3,6,7}:{(26,1),(50,1)}
        39:{1,2,3,5,6,7}:{(27,1),(28,1),(30,1),(51,1),(53,1),(58,1),(79,1),(81,1),(84,1),(100,1)}
        40:{2,4,6,7}:{(27,1),(29,1),(54,1)}
        41:{1,4,6,7}:{(28,1),(29,1),(55,1)}
        42:{3,4,5,7}:{(29,1),(54,1),(55,1),(56,1),(81,1)}
        43:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(57,1),(58,1),(61,1)}
        44:{1,3,5,7}:{(31,1),(55,1),(58,1),(59,1),(81,1)}
        45:{2,3,4,7}:{(32,1),(34,1),(60,1)}
        46:{1,2,4,5,7}:{(32,1),(33,1),(35,1),(58,1),(60,1),(61,1),(83,1)}
        47:{1,3,4,6}:{(33,1),(59,1),(61,1),(101,1)}
        48:{2,3,5}:{(34,1),(35,1)}
        49:{1,2,4,5,6}:{(36,1),(37,1),(62,1),(69,1),(85,1),(91,1)}
        50:{2,3,5,7}:{(37,1),(38,1),(62,1),(64,1)}
        51:{1,2,3,6,7}:{(38,1),(63,1),(65,1),(103,1)}
        52:{2,3,4,6,7}:{(38,1),(40,1),(64,1),(65,1),(66,1),(67,1),(89,1)}
        53:{1,2,4,6,7}:{(39,1),(40,1),(41,1),(67,1),(68,1),(94,1),(104,1)}
        54:{2,4,5,7}:{(40,1),(42,1),(66,1),(69,1)}
        55:{1,4,5,7}:{(41,1),(42,1),(44,1),(70,1)}
        56:{3,4,5,6}:{(42,1),(69,1),(70,1),(93,1)}
        57:{2,3,4,6,7}:{(43,1),(45,1),(67,1),(71,1),(73,1),(94,1)}
        58:{1,2,5,7}:{(43,1),(44,1),(71,1),(72,1)}
        59:{1,3,5,6}:{(44,1),(47,1),(70,1),(72,1),(93,1)}
        60:{2,3,5,7}:{(45,1),(46,1),(48,1),(73,1)}
        61:{1,2,4,6}:{(46,1),(47,1),(72,1),(73,1),(94,1)}
        62:{2,3,5,6}:{(49,1),(50,1),(75,1)}
        63:{1,2,3,5,7}:{(50,1),(51,1),(74,1),(76,1),(79,1),(97,1)}
        64:{2,3,4,7}:{(50,1),(75,1),(76,1)}
        65:{1,2,4,6,7}:{(51,1),(52,1),(76,1),(78,1),(79,1),(98,1)}
        66:{2,3,5,7}:{(52,1),(54,1),(79,1),(80,1),(81,1)}
        67:{3,4,6,7}:{(53,1),(81,1),(101,1)}
        68:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(58,1),(79,1),(81,1),(82,1),(83,1),(99,1)}
        69:{2,4,5,6}:{(54,1),(56,1),(80,1)}
        70:{1,4,5,6}:{(55,1),(56,1),(59,1)}
        71:{2,3,5,7}:{(57,1),(58,1),(81,1),(83,1),(84,1)}
        72:{1,2,5,6}:{(58,1),(59,1),(61,1),(84,1)}
        73:{2,3,6}:{(60,1),(61,1)}
        74:{1,2,3,5,6}:{(62,1),(63,1),(85,1),(91,1),(102,1),(103,1)}
        75:{2,3,4,6}:{(62,1),(64,1),(85,1),(86,1)}
        76:{1,2,4,7}:{(63,1),(64,1),(85,1),(87,1)}
        77:{2,3,4,5,7}:{(64,1),(66,1),(86,1),(88,1),(89,1),(92,1)}
        78:{1,3,4,6,7}:{(65,1),(67,1),(87,1),(90,1),(103,1),(104,1)}
        79:{1,2,5,7}:{(65,1),(66,1),(90,1),(91,1)}
        80:{2,3,5,6}:{(66,1),(69,1),(89,1),(91,1),(93,1)}
        81:{3,5,7}:{(67,1),(68,1),(93,1)}
        82:{1,2,4,5,6}:{(68,1),(69,1),(70,1),(72,1),(91,1),(93,1),(94,1),(104,1)}
        83:{2,4,5,7}:{(71,1),(92,1),(94,1)}
        84:{2,3,5,6}:{(71,1),(72,1),(73,1),(93,1),(94,1)}
        85:{1,2,4,6}:{(74,1),(75,1),(76,1),(95,1),(96,1)}
        86:{2,3,4,5}:{(75,1),(96,1)}
        87:{1,3,4,7}:{(76,1),(95,1),(97,1)}
        88:{1,2,4,5,7}:{(76,1),(77,1),(79,1),(96,1),(97,1),(98,1),(99,1)}
        89:{2,3,4,6}:{(77,1),(80,1),(98,1),(101,1)}
        90:{1,3,5,7}:{(78,1),(79,1),(81,1),(99,1),(100,1)}
        91:{1,2,5,6}:{(79,1),(80,1),(98,1),(100,1)}
        92:{3,4,5,7}:{(81,1),(83,1),(99,1),(101,1)}
        93:{3,5,6}:{(81,1),(82,1),(101,1)}
        94:{2,4,6}:{(83,1),(84,1),(101,1)}
        95:{1,3,4,6}:{(85,1),(87,1),(102,1),(103,1)}
        96:{1,2,4,5}:{(85,1),(86,1),(102,1)}
        97:{1,3,5,7}:{(87,1),(88,1),(102,1),(103,1)}
        98:{1,2,4,6}:{(88,1),(89,1),(91,1),(103,1),(104,1)}
        99:{1,4,5,7}:{(90,1),(92,1),(104,1)}
       100:{1,3,5,6}:{(90,1),(91,1),(93,1),(103,1),(104,1)}
       101:{3,4,6}:{(92,1),(93,1),(94,1),(104,1)}
       102:{1,3,5}:{(95,1),(96,1)}
       103:{1,3,6}:{(97,1),(98,1)}
       104:{1,4,6}:{(99,1),(100,1),(101,1)}

1834 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(21,1),(53,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(34,1),(69,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(24,1),(48,1),(85,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(19,1),(24,1),(47,1),(88,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(20,1),(24,1),(46,1),(87,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(34,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(64,1),(106,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(63,1),(105,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(32,1),(33,1),(108,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(45,1),(85,1),(158,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(17,1),(19,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(18,1),(20,1)}
        12:{1,3,4,6,7}:{(6,1),(19,1),(22,1),(24,1),(26,1),(48,1)}
        13:{2,3,4,6,7}:{(7,1),(20,1),(23,1),(24,1),(41,1),(48,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(21,1),(24,1),(128,1)}
        15:{1,2,3,5,6,7}:{(8,1),(24,1),(25,1),(46,1),(47,1),(49,1),(52,1),(78,1),(86,1),(87,1),(88,1),(131,1),(161,1),(163,1),(172,1)}
        16:{1,3,4,5,7}:{(19,1),(26,1),(27,1),(48,1),(81,1),(84,1),(92,1),(127,1),(132,1)}
        17:{1,4,5,6}:{(9,1),(10,1),(29,1),(106,1),(149,1)}
        18:{2,4,5,6}:{(9,1),(11,1),(30,1),(105,1),(164,1)}
        19:{1,3,5,7}:{(10,1),(12,1),(29,1),(32,1),(34,1)}
        20:{2,3,5,7}:{(11,1),(13,1),(30,1),(33,1),(34,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(31,1),(32,1),(33,1),(34,1),(63,1),(64,1)}
        22:{1,2,4,6,7}:{(12,1),(32,1),(35,1),(39,1),(63,1)}
        23:{1,2,4,6,7}:{(13,1),(33,1),(36,1),(57,1),(64,1)}
        24:{3,6,7}:{(14,1),(34,1),(147,1)}
        25:{1,2,4,6,7}:{(15,1),(37,1),(38,1),(63,1),(64,1),(99,1),(105,1),(106,1),(170,1),(174,1)}
        26:{1,3,4,6}:{(16,1),(29,1),(39,1),(61,1),(106,1),(147,1)}
        27:{1,2,4,5,7}:{(16,1),(32,1),(39,1),(40,1),(63,1),(73,1),(100,1),(112,1)}
        28:{2,3,4,5,7}:{(20,1),(41,1),(42,1),(48,1),(81,1),(83,1),(119,1),(127,1),(153,1)}
        29:{1,3,5,6}:{(17,1),(19,1),(26,1),(43,1),(45,1),(132,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(41,1),(44,1),(45,1),(153,1)}
        31:{1,2,4,5,6}:{(17,1),(18,1),(21,1),(43,1),(44,1),(45,1),(79,1),(80,1),(123,1),(128,1)}
        32:{1,2,5,7}:{(19,1),(22,1),(43,1),(46,1)}
        33:{1,2,5,7}:{(20,1),(23,1),(44,1),(47,1)}
        34:{3,5,7}:{(21,1),(24,1),(45,1),(48,1)}
        35:{2,3,6,7}:{(22,1),(24,1),(46,1),(54,1)}
        36:{1,3,6,7}:{(23,1),(24,1),(47,1),(75,1)}
        37:{3,4,6,7}:{(24,1),(25,1),(48,1),(52,1),(85,1),(122,1),(161,1),(173,1)}
        38:{1,2,4,5,7}:{(25,1),(52,1),(53,1),(83,1),(84,1),(86,1),(123,1)}
        39:{1,2,4,6}:{(26,1),(27,1),(43,1),(54,1),(79,1)}
        40:{2,3,5,7}:{(27,1),(54,1),(56,1),(91,1),(127,1)}
        41:{2,3,4,6}:{(28,1),(30,1),(57,1),(61,1),(105,1),(147,1)}
        42:{1,2,4,5,7}:{(28,1),(33,1),(57,1),(58,1),(64,1),(97,1),(101,1),(138,1)}
        43:{1,2,5,6}:{(29,1),(32,1),(39,1),(59,1),(112,1)}
        44:{1,2,5,6}:{(30,1),(33,1),(57,1),(60,1),(138,1)}
        45:{3,5,6}:{(31,1),(34,1),(61,1),(143,1),(147,1)}
        46:{2,3,5,7}:{(32,1),(34,1),(35,1),(59,1),(63,1)}
        47:{1,3,5,7}:{(33,1),(34,1),(36,1),(60,1),(64,1)}
        48:{3,4,7}:{(34,1),(61,1),(63,1),(64,1)}
        49:{1,2,3,6,7}:{(35,1),(36,1),(62,1),(66,1),(71,1),(95,1),(147,1),(152,1),(167,1)}
        50:{2,3,4,6,7}:{(35,1),(37,1),(63,1),(66,1),(67,1),(72,1),(103,1),(105,1),(137,1),(147,1),(167,1),(174,1)}
        51:{1,3,4,6,7}:{(36,1),(37,1),(64,1),(66,1),(68,1),(96,1),(103,1),(106,1),(111,1),(147,1),(152,1),(170,1)}
        52:{3,5,7}:{(37,1),(38,1),(69,1),(143,1)}
        53:{1,2,4,5,6}:{(38,1),(69,1),(105,1),(106,1),(108,1)}
        54:{2,3,6}:{(39,1),(40,1),(147,1)}
        55:{1,2,3,5,7}:{(40,1),(71,1),(73,1),(112,1),(114,1)}
        56:{2,3,4,7}:{(40,1),(63,1),(72,1),(73,1),(103,1)}
        57:{1,2,4,6}:{(41,1),(42,1),(44,1),(75,1),(80,1)}
        58:{1,3,5,7}:{(42,1),(75,1),(77,1),(118,1),(127,1)}
        59:{2,3,5,6}:{(43,1),(45,1),(46,1),(54,1),(79,1),(91,1)}
        60:{1,3,5,6}:{(44,1),(45,1),(47,1),(75,1),(80,1),(118,1)}
        61:{3,4,6}:{(45,1),(48,1),(79,1),(80,1),(81,1)}
        62:{1,2,3,5,7}:{(46,1),(47,1),(49,1),(78,1),(82,1),(86,1),(127,1),(163,1),(172,1)}
        63:{2,4,7}:{(46,1),(48,1),(79,1)}
        64:{1,4,7}:{(47,1),(48,1),(80,1)}
        65:{3,4,5,7}:{(48,1),(52,1),(81,1),(83,1),(84,1),(85,1),(127,1),(158,1),(173,1)}
        66:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(82,1),(86,1),(90,1),(117,1),(128,1)}
        67:{2,3,5,7}:{(50,1),(52,1),(83,1),(86,1),(87,1),(91,1),(127,1),(153,1)}
        68:{1,3,5,7}:{(51,1),(52,1),(84,1),(86,1),(88,1),(118,1),(127,1),(132,1)}
        69:{3,5,6}:{(52,1),(53,1),(85,1)}
        70:{1,2,4,5,6,7}:{(53,1),(89,1),(129,1),(130,1),(131,1),(160,1)}
        71:{1,2,3,6}:{(54,1),(55,1),(90,1),(135,1)}
        72:{2,3,4,6}:{(54,1),(56,1),(79,1),(90,1),(91,1),(122,1)}
        73:{1,2,4,7}:{(55,1),(56,1),(90,1),(92,1)}
        74:{2,3,4,5,7}:{(56,1),(83,1),(91,1),(93,1),(94,1),(127,1),(134,1),(158,1),(173,1)}
        75:{1,3,6}:{(57,1),(58,1),(147,1)}
        76:{1,2,3,5,7}:{(58,1),(95,1),(97,1),(138,1),(140,1)}
        77:{1,3,4,7}:{(58,1),(64,1),(96,1),(97,1),(103,1)}
        78:{1,2,3,5,6}:{(59,1),(60,1),(62,1),(71,1),(95,1),(99,1),(108,1),(112,1),(138,1),(143,1),(147,1),(150,1),(165,1)}
        79:{2,4,6}:{(59,1),(61,1),(63,1),(100,1)}
        80:{1,4,6}:{(60,1),(61,1),(64,1),(101,1)}
        81:{3,4,5}:{(61,1),(100,1),(101,1),(143,1)}
        82:{1,2,4,7}:{(62,1),(63,1),(64,1),(99,1),(103,1),(170,1),(174,1)}
        83:{2,4,5,7}:{(63,1),(65,1),(67,1),(100,1),(105,1),(164,1),(174,1)}
        84:{1,4,5,7}:{(64,1),(65,1),(68,1),(101,1),(106,1),(149,1),(170,1)}
        85:{3,4,6}:{(65,1),(69,1),(105,1),(106,1),(147,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(108,1),(112,1),(138,1)}
        87:{2,3,5,6}:{(67,1),(69,1),(105,1),(108,1),(147,1)}
        88:{1,3,5,6}:{(68,1),(69,1),(106,1),(108,1),(147,1)}
        89:{3,5,6,7}:{(69,1),(70,1),(107,1),(169,1)}
        90:{1,2,4,6}:{(71,1),(72,1),(73,1),(111,1),(112,1)}
        91:{2,3,5}:{(72,1),(100,1),(112,1),(143,1)}
        92:{1,3,4,7}:{(73,1),(103,1),(111,1),(114,1),(170,1)}
        93:{1,2,4,5,7}:{(73,1),(74,1),(112,1),(114,1),(115,1),(149,1),(151,1),(170,1)}
        94:{2,3,4,6}:{(74,1),(105,1),(113,1),(115,1),(147,1),(168,1)}
        95:{1,2,3,6}:{(75,1),(76,1),(117,1),(156,1)}
        96:{1,3,4,6}:{(75,1),(77,1),(80,1),(117,1),(118,1),(122,1)}
        97:{1,2,4,7}:{(76,1),(77,1),(117,1),(119,1)}
        98:{1,3,4,5,7}:{(77,1),(84,1),(118,1),(120,1),(121,1),(127,1),(155,1),(158,1),(173,1)}
        99:{1,2,4,6}:{(78,1),(79,1),(80,1),(82,1),(122,1),(123,1),(162,1),(171,1)}
       100:{2,4,5}:{(79,1),(81,1),(91,1)}
       101:{1,4,5}:{(80,1),(81,1),(118,1)}
       102:{3,4,5,6}:{(81,1),(85,1),(124,1),(125,1),(126,1),(159,1)}
       103:{3,4,7}:{(82,1),(122,1),(127,1)}
       104:{1,2,4,5,7}:{(82,1),(83,1),(84,1),(86,1),(123,1),(127,1),(128,1)}
       105:{2,4,6}:{(83,1),(85,1),(87,1)}
       106:{1,4,6}:{(84,1),(85,1),(88,1)}
       107:{3,4,6,7}:{(85,1),(89,1),(126,1),(129,1),(130,1),(161,1),(173,1)}
       108:{1,2,5,6}:{(86,1),(87,1),(88,1),(128,1)}
       109:{2,3,5,6,7}:{(87,1),(89,1),(129,1),(131,1),(134,1),(161,1),(172,1)}
       110:{1,3,5,6,7}:{(88,1),(89,1),(130,1),(131,1),(155,1),(161,1),(163,1)}
       111:{1,3,4,6}:{(90,1),(92,1),(122,1),(132,1),(135,1),(162,1)}
       112:{1,2,5}:{(90,1),(91,1),(132,1)}
       113:{2,3,5,6}:{(91,1),(94,1),(124,1),(133,1),(134,1),(159,1)}
       114:{1,3,5,7}:{(92,1),(93,1),(127,1),(132,1),(135,1)}
       115:{1,2,4,6}:{(93,1),(94,1),(133,1),(135,1),(162,1)}
       116:{2,3,4,6,7}:{(94,1),(129,1),(134,1),(136,1),(161,1),(173,1)}
       117:{1,2,4,6}:{(95,1),(96,1),(97,1),(137,1),(138,1)}
       118:{1,3,5}:{(96,1),(101,1),(138,1),(143,1)}
       119:{2,3,4,7}:{(97,1),(103,1),(137,1),(140,1),(174,1)}
       120:{1,2,4,5,7}:{(97,1),(98,1),(138,1),(140,1),(141,1),(164,1),(166,1),(174,1)}
       121:{1,3,4,6}:{(98,1),(106,1),(139,1),(141,1),(147,1),(168,1)}
       122:{3,4,6}:{(99,1),(103,1),(143,1),(147,1)}
       123:{1,2,4,5}:{(99,1),(100,1),(101,1),(112,1),(138,1),(143,1),(149,1),(164,1)}
       124:{2,4,5,6}:{(100,1),(102,1),(105,1),(113,1),(145,1)}
       125:{1,4,5,6}:{(101,1),(102,1),(106,1),(139,1),(146,1)}
       126:{3,4,5,7}:{(102,1),(107,1),(145,1),(146,1),(169,1)}
       127:{3,5,7}:{(103,1),(104,1),(143,1),(147,1)}
       128:{1,2,4,6}:{(104,1),(105,1),(106,1),(108,1),(147,1)}
       129:{2,4,6,7}:{(105,1),(107,1),(109,1),(145,1),(174,1)}
       130:{1,4,6,7}:{(106,1),(107,1),(110,1),(146,1),(170,1)}
       131:{1,2,5,6,7}:{(108,1),(109,1),(110,1),(148,1),(151,1),(166,1)}
       132:{1,3,5}:{(111,1),(112,1),(143,1),(149,1)}
       133:{1,2,5,6}:{(112,1),(113,1),(115,1),(150,1),(151,1)}
       134:{2,3,5,7}:{(113,1),(116,1),(145,1),(151,1),(169,1)}
       135:{1,3,6}:{(114,1),(115,1),(147,1)}
       136:{1,2,4,6,7}:{(115,1),(116,1),(151,1),(152,1),(170,1)}
       137:{2,3,4,6}:{(117,1),(119,1),(122,1),(153,1),(156,1),(171,1)}
       138:{1,2,5}:{(117,1),(118,1),(153,1)}
       139:{1,3,5,6}:{(118,1),(121,1),(125,1),(154,1),(155,1),(159,1)}
       140:{2,3,5,7}:{(119,1),(120,1),(127,1),(153,1),(156,1)}
       141:{1,2,4,6}:{(120,1),(121,1),(154,1),(156,1),(171,1)}
       142:{1,3,4,6,7}:{(121,1),(130,1),(155,1),(157,1),(161,1),(173,1)}
       143:{3,5}:{(122,1),(123,1)}
       144:{1,2,4,5,6}:{(123,1),(124,1),(125,1),(128,1),(133,1),(154,1),(159,1),(160,1),(162,1),(171,1)}
       145:{2,4,5,7}:{(124,1),(126,1),(129,1),(134,1)}
       146:{1,4,5,7}:{(125,1),(126,1),(130,1),(155,1)}
       147:{3,6}:{(127,1),(128,1)}
       148:{1,2,4,6,7}:{(128,1),(129,1),(130,1),(131,1),(160,1),(161,1)}
       149:{1,4,5}:{(132,1),(158,1),(162,1)}
       150:{1,3,5,6}:{(132,1),(133,1),(135,1),(159,1),(162,1),(163,1)}
       151:{1,2,5,7}:{(133,1),(134,1),(136,1),(163,1)}
       152:{1,3,6,7}:{(135,1),(136,1),(161,1),(163,1)}
       153:{2,3,5}:{(137,1),(138,1),(143,1),(164,1)}
       154:{1,2,5,6}:{(138,1),(139,1),(141,1),(165,1),(166,1)}
       155:{1,3,5,7}:{(139,1),(142,1),(146,1),(166,1),(169,1)}
       156:{2,3,6}:{(140,1),(141,1),(147,1)}
       157:{1,2,4,6,7}:{(141,1),(142,1),(166,1),(167,1),(174,1)}
       158:{3,4,5}:{(143,1),(149,1),(164,1),(168,1)}
       159:{3,5,6}:{(143,1),(144,1),(147,1),(168,1),(169,1)}
       160:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(148,1),(151,1),(166,1),(169,1),(170,1),(174,1)}
       161:{3,6,7}:{(147,1),(148,1),(169,1)}
       162:{1,4,6}:{(149,1),(150,1),(168,1),(170,1)}
       163:{1,3,5,7}:{(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:{1,2,5,7}:{(154,1),(155,1),(157,1),(172,1)}
       167:{2,3,6,7}:{(156,1),(157,1),(161,1),(172,1)}
       168:{3,4,6}:{(158,1),(159,1),(162,1),(171,1),(173,1)}
       169:{3,5,7}:{(159,1),(160,1),(161,1),(173,1)}
       170:{1,4,7}:{(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:{3,4,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,4,7}:{(171,1),(172,1),(173,1)}

1835 :   0:{3,4,5,6,7}:{(1,1),(2,1),(13,1),(91,1)}
         1:{1,4,5,6,7}:{(0,1),(4,1),(97,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(99,1)}
         3:{2,3,4,5,6}:{(7,1),(8,1),(47,1),(50,1),(100,1)}
         4:{1,3,5,6,7}:{(1,1),(9,1),(11,1),(13,1),(87,1)}
         5:{2,3,5,6,7}:{(2,1),(10,1),(12,1),(13,1),(89,1)}
         6:{1,2,4,5,6,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(31,1),(32,1),(61,1)}
         7:{2,3,4,5,7}:{(3,1),(10,1),(14,1),(33,1),(64,1),(89,1)}
         8:{1,2,4,5,6}:{(3,1),(14,1),(15,1),(36,1),(63,1),(90,1)}
         9:{1,3,4,6,7}:{(4,1),(17,1),(18,1),(22,1)}
        10:{2,3,4,6,7}:{(5,1),(7,1),(19,1),(22,1)}
        11:{1,2,5,6,7}:{(4,1),(18,1),(20,1),(73,1)}
        12:{1,2,5,6,7}:{(5,1),(19,1),(21,1),(76,1)}
        13:{3,5,6,7}:{(6,1),(22,1),(78,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(19,1),(23,1),(46,1),(48,1),(76,1)}
        15:{1,3,5,6}:{(8,1),(23,1),(25,1)}
        16:{1,3,4,5,6}:{(17,1),(26,1),(47,1),(82,1),(98,1)}
        17:{1,3,4,5,7}:{(9,1),(16,1),(27,1),(33,1),(84,1),(87,1)}
        18:{1,2,4,6,7}:{(9,1),(11,1),(27,1),(28,1),(31,1)}
        19:{1,2,4,6,7}:{(10,1),(12,1),(14,1),(29,1),(32,1)}
        20:{2,3,5,6,7}:{(11,1),(13,1),(28,1),(31,1),(57,1)}
        21:{1,3,5,6,7}:{(12,1),(13,1),(29,1),(32,1),(59,1)}
        22:{3,4,6,7}:{(13,1),(31,1),(32,1),(33,1)}
        23:{1,3,5,7}:{(14,1),(15,1),(29,1),(35,1)}
        24:{1,2,3,5,6}:{(15,1),(34,1),(36,1),(67,1),(90,1),(93,1)}
        25:{1,3,4,6}:{(15,1),(35,1),(36,1),(37,1)}
        26:{1,2,4,5,6}:{(16,1),(27,1),(38,1),(62,1),(68,1),(88,1)}
        27:{1,2,4,5,7}:{(17,1),(18,1),(26,1),(39,1),(45,1),(70,1),(73,1)}
        28:{2,3,6,7}:{(18,1),(39,1)}
        29:{1,3,6,7}:{(19,1),(23,1)}
        30:{1,2,3,5,6,7}:{(20,1),(21,1),(40,1),(42,1),(44,1),(73,1),(76,1),(78,1),(98,1),(100,1)}
        31:{2,4,6,7}:{(20,1),(22,1),(45,1)}
        32:{1,4,6,7}:{(21,1),(22,1),(46,1)}
        33:{3,4,5,7}:{(22,1),(45,1),(46,1),(47,1),(78,1)}
        34:{1,2,3,5,7}:{(23,1),(24,1),(42,1),(48,1),(76,1),(80,1)}
        35:{1,3,4,7}:{(23,1),(25,1),(48,1)}
        36:{1,2,4,6}:{(24,1),(25,1),(48,1),(50,1),(51,1)}
        37:{1,3,4,5}:{(25,1),(51,1)}
        38:{2,3,5,6}:{(26,1),(39,1),(53,1)}
        39:{2,3,5,7}:{(27,1),(28,1),(38,1),(55,1)}
        40:{1,2,3,6,7}:{(28,1),(54,1),(56,1),(102,1)}
        41:{2,3,4,6,7}:{(28,1),(31,1),(55,1),(56,1),(57,1),(60,1),(86,1)}
        42:{1,2,3,6,7}:{(29,1),(34,1),(58,1),(93,1)}
        43:{1,3,4,6,7}:{(29,1),(32,1),(35,1),(58,1),(59,1),(60,1),(66,1)}
        44:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(60,1),(61,1),(103,1),(104,1)}
        45:{2,4,5,7}:{(31,1),(33,1),(57,1),(62,1)}
        46:{1,4,5,7}:{(32,1),(33,1),(59,1),(63,1)}
        47:{3,4,5,6}:{(33,1),(62,1),(63,1),(92,1)}
        48:{1,2,4,7}:{(34,1),(35,1),(36,1),(64,1)}
        49:{1,3,4,5,7}:{(35,1),(37,1),(59,1),(65,1),(66,1),(91,1)}
        50:{2,3,4,6}:{(36,1),(64,1),(67,1),(93,1)}
        51:{1,2,4,5}:{(36,1),(37,1),(67,1)}
        52:{1,2,3,5,6}:{(38,1),(54,1),(68,1),(88,1),(94,1),(102,1)}
        53:{2,3,4,6}:{(38,1),(55,1),(68,1),(69,1)}
        54:{1,2,3,5,7}:{(39,1),(40,1),(52,1),(70,1),(73,1),(95,1)}
        55:{2,3,4,7}:{(39,1),(53,1),(70,1)}
        56:{1,2,4,6,7}:{(40,1),(41,1),(70,1),(72,1),(73,1),(96,1)}
        57:{2,3,5,7}:{(41,1),(45,1),(73,1),(74,1),(78,1)}
        58:{1,2,4,6,7}:{(42,1),(43,1),(48,1),(75,1),(76,1),(81,1)}
        59:{1,3,5,7}:{(43,1),(46,1),(76,1),(77,1),(78,1)}
        60:{3,4,6,7}:{(44,1),(78,1),(101,1)}
        61:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(73,1),(76,1),(78,1),(79,1),(97,1),(99,1)}
        62:{2,4,5,6}:{(45,1),(47,1),(74,1)}
        63:{1,4,5,6}:{(46,1),(47,1),(77,1)}
        64:{2,3,4,7}:{(48,1),(50,1),(80,1)}
        65:{1,2,4,5,7}:{(48,1),(49,1),(51,1),(76,1),(80,1),(81,1),(99,1)}
        66:{1,3,4,6}:{(49,1),(77,1),(81,1),(101,1)}
        67:{2,3,5}:{(50,1),(51,1)}
        68:{1,2,4,6}:{(52,1),(53,1),(70,1),(82,1),(83,1)}
        69:{2,3,4,5}:{(53,1),(83,1)}
        70:{1,2,4,7}:{(54,1),(55,1),(68,1),(84,1)}
        71:{2,3,4,5,7}:{(55,1),(57,1),(69,1),(85,1),(86,1),(91,1)}
        72:{1,3,4,6,7}:{(56,1),(60,1),(84,1),(87,1),(102,1),(103,1)}
        73:{1,2,5,7}:{(56,1),(57,1),(87,1),(88,1)}
        74:{2,3,5,6}:{(57,1),(62,1),(86,1),(88,1),(92,1)}
        75:{2,3,4,6,7}:{(58,1),(60,1),(64,1),(89,1),(93,1),(104,1)}
        76:{1,2,5,7}:{(58,1),(59,1),(89,1),(90,1)}
        77:{1,3,5,6}:{(59,1),(63,1),(66,1),(90,1),(92,1)}
        78:{3,5,7}:{(60,1),(61,1),(92,1)}
        79:{1,2,4,5,6}:{(61,1),(62,1),(63,1),(88,1),(90,1),(92,1),(103,1),(104,1)}
        80:{2,3,5,7}:{(64,1),(65,1),(67,1),(93,1)}
        81:{1,2,4,6}:{(65,1),(66,1),(90,1),(93,1),(104,1)}
        82:{1,3,4,6}:{(68,1),(84,1),(94,1),(102,1)}
        83:{1,2,4,5}:{(68,1),(69,1),(94,1)}
        84:{1,3,4,7}:{(70,1),(82,1),(95,1)}
        85:{1,2,4,5,7}:{(70,1),(71,1),(73,1),(83,1),(95,1),(96,1),(97,1)}
        86:{2,3,4,6}:{(71,1),(74,1),(96,1),(101,1)}
        87:{1,3,5,7}:{(72,1),(73,1),(78,1),(97,1),(98,1)}
        88:{1,2,5,6}:{(73,1),(74,1),(96,1),(98,1)}
        89:{2,3,5,7}:{(75,1),(76,1),(78,1),(99,1),(100,1)}
        90:{1,2,5,6}:{(76,1),(77,1),(81,1),(100,1)}
        91:{3,4,5,7}:{(78,1),(97,1),(99,1),(101,1)}
        92:{3,5,6}:{(78,1),(79,1),(101,1)}
        93:{2,3,6}:{(80,1),(81,1)}
        94:{1,3,5}:{(82,1),(83,1)}
        95:{1,3,5,7}:{(84,1),(85,1),(94,1),(102,1)}
        96:{1,2,4,6}:{(85,1),(86,1),(88,1),(102,1),(103,1)}
        97:{1,4,5,7}:{(87,1),(91,1),(103,1)}
        98:{1,3,5,6}:{(87,1),(88,1),(92,1),(102,1),(103,1)}
        99:{2,4,5,7}:{(89,1),(91,1),(104,1)}
       100:{2,3,5,6}:{(89,1),(90,1),(92,1),(93,1),(104,1)}
       101:{3,4,6}:{(91,1),(92,1),(103,1),(104,1)}
       102:{1,3,6}:{(95,1),(96,1)}
       103:{1,4,6}:{(97,1),(98,1),(101,1)}
       104:{2,4,6}:{(99,1),(100,1),(101,1)}

1836 :   0:{1,3,4,6,7}:{(3,1),(4,1),(18,1),(21,1),(54,1),(57,1),(59,1),(91,1),(95,1),(116,1),(123,1)}
         1:{1,3,5,6,7}:{(6,1),(7,1),(9,1),(32,1),(34,1),(62,1),(72,1)}
         2:{2,3,5,6,7}:{(6,1),(8,1),(25,1),(33,1),(34,1),(37,1),(73,1)}
         3:{1,2,4,6,7}:{(0,1),(10,1),(11,1),(35,1),(38,1),(40,1),(74,1),(110,1),(128,1)}
         4:{1,3,5,7}:{(0,1),(9,1),(11,1),(12,1),(32,1),(41,1),(111,1),(126,1)}
         5:{2,3,4,6,7}:{(13,1),(14,1),(19,1),(44,1),(55,1),(83,1),(85,1),(92,1),(96,1),(117,1),(123,1)}
         6:{1,2,5,6,7}:{(1,1),(2,1),(17,1),(20,1),(43,1),(52,1),(53,1),(93,1)}
         7:{1,4,6,7}:{(1,1),(15,1),(18,1),(21,1),(82,1),(91,1)}
         8:{2,4,6,7}:{(2,1),(16,1),(19,1),(44,1),(56,1),(92,1)}
         9:{1,3,5,6}:{(4,1),(20,1),(21,1),(49,1),(57,1)}
        10:{2,3,6,7}:{(3,1),(22,1),(57,1),(123,1),(134,1)}
        11:{1,2,5,7}:{(3,1),(4,1),(20,1),(22,1),(52,1),(133,1)}
        12:{1,4,5,7}:{(4,1),(21,1),(24,1),(91,1),(120,1)}
        13:{1,2,4,6,7}:{(5,1),(26,1),(27,1),(36,1),(63,1),(65,1),(74,1),(110,1),(113,1)}
        14:{2,3,5,7}:{(5,1),(25,1),(27,1),(28,1),(33,1),(66,1),(112,1),(127,1)}
        15:{1,4,5,7}:{(7,1),(29,1),(32,1),(99,1)}
        16:{2,4,5,7}:{(8,1),(30,1),(33,1),(75,1)}
        17:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(31,1),(34,1),(35,1),(36,1),(38,1),(63,1),(74,1),(110,1)}
        18:{3,4,6,7}:{(7,1),(32,1),(34,1),(35,1),(39,1),(71,1),(100,1)}
        19:{3,4,6,7}:{(8,1),(33,1),(34,1),(36,1),(64,1),(71,1),(76,1)}
        20:{1,2,5,6}:{(9,1),(11,1),(37,1),(38,1),(69,1),(111,1)}
        21:{1,4,6}:{(9,1),(12,1),(39,1)}
        22:{2,3,5,7}:{(10,1),(11,1),(37,1),(40,1),(41,1),(137,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(42,1),(75,1),(79,1),(81,1),(110,1),(111,1),(130,1)}
        24:{3,4,5,7}:{(12,1),(32,1),(39,1),(41,1),(42,1),(71,1),(106,1)}
        25:{2,3,5,6}:{(14,1),(43,1),(44,1),(50,1),(83,1)}
        26:{1,3,6,7}:{(13,1),(45,1),(83,1),(123,1),(125,1)}
        27:{1,2,5,7}:{(13,1),(14,1),(43,1),(45,1),(53,1),(124,1)}
        28:{2,4,5,7}:{(14,1),(44,1),(47,1),(92,1),(121,1)}
        29:{1,4,5,6}:{(15,1),(21,1),(49,1)}
        30:{2,4,5,6}:{(16,1),(44,1),(50,1)}
        31:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(48,1),(51,1),(52,1),(53,1),(91,1),(92,1),(93,1)}
        32:{3,5,7}:{(15,1),(18,1),(49,1),(52,1),(115,1)}
        33:{3,5,7}:{(16,1),(19,1),(50,1),(53,1),(94,1)}
        34:{3,6,7}:{(17,1),(51,1),(57,1),(83,1),(123,1)}
        35:{2,4,6,7}:{(18,1),(52,1),(55,1),(58,1),(92,1),(117,1)}
        36:{1,4,6,7}:{(19,1),(53,1),(54,1),(84,1),(91,1),(95,1)}
        37:{2,3,5,6}:{(20,1),(22,1),(56,1),(57,1),(94,1)}
        38:{1,2,4,6}:{(20,1),(21,1),(23,1),(56,1),(57,1),(58,1),(95,1),(97,1)}
        39:{3,4,6}:{(21,1),(24,1),(49,1),(57,1),(58,1)}
        40:{2,4,7}:{(22,1),(56,1),(59,1),(139,1)}
        41:{3,5,7}:{(23,1),(57,1),(59,1),(94,1),(123,1),(135,1)}
        42:{2,4,5,7}:{(24,1),(52,1),(58,1),(61,1),(92,1),(121,1)}
        43:{1,2,5,6}:{(25,1),(27,1),(62,1),(63,1),(70,1),(127,1)}
        44:{2,4,6}:{(25,1),(28,1),(64,1)}
        45:{1,3,5,7}:{(26,1),(27,1),(62,1),(65,1),(66,1),(132,1)}
        46:{1,2,4,5,7}:{(27,1),(28,1),(63,1),(65,1),(66,1),(67,1),(99,1),(104,1),(105,1),(110,1),(127,1),(130,1)}
        47:{3,4,5,7}:{(28,1),(33,1),(64,1),(66,1),(67,1),(71,1),(106,1)}
        48:{1,2,4,5,6}:{(29,1),(30,1),(31,1),(38,1),(63,1),(68,1),(69,1),(70,1),(75,1),(99,1),(107,1),(108,1),(109,1),(111,1),(127,1),(130,1)}
        49:{3,5,6}:{(29,1),(32,1),(39,1),(69,1)}
        50:{3,5,6}:{(30,1),(33,1),(64,1),(70,1)}
        51:{3,5,7}:{(31,1),(34,1),(68,1),(71,1)}
        52:{2,5,7}:{(32,1),(35,1),(69,1),(127,1)}
        53:{1,5,7}:{(33,1),(36,1),(70,1),(111,1)}
        54:{1,3,6,7}:{(34,1),(36,1),(72,1),(74,1),(77,1),(101,1)}
        55:{2,3,6,7}:{(34,1),(35,1),(73,1),(74,1),(78,1),(102,1)}
        56:{2,4,6}:{(37,1),(40,1),(75,1),(76,1)}
        57:{3,6}:{(38,1),(41,1)}
        58:{2,4,6}:{(39,1),(42,1),(69,1),(78,1)}
        59:{3,4,7}:{(40,1),(41,1),(76,1),(79,1),(138,1)}
        60:{1,3,5,7}:{(41,1),(77,1),(79,1),(81,1),(111,1),(114,1),(132,1)}
        61:{2,3,5,7}:{(41,1),(42,1),(78,1),(80,1),(81,1),(112,1)}
        62:{1,3,5,6}:{(43,1),(45,1),(82,1),(83,1),(115,1)}
        63:{1,2,4,6}:{(43,1),(44,1),(46,1),(82,1),(83,1),(84,1),(117,1),(118,1)}
        64:{3,4,6}:{(44,1),(47,1),(50,1),(83,1),(84,1)}
        65:{1,4,7}:{(45,1),(82,1),(85,1),(136,1)}
        66:{3,5,7}:{(46,1),(83,1),(85,1),(115,1),(123,1),(135,1)}
        67:{1,4,5,7}:{(47,1),(53,1),(84,1),(86,1),(91,1),(120,1)}
        68:{3,5,6}:{(48,1),(51,1),(57,1),(83,1),(88,1),(94,1),(115,1),(135,1)}
        69:{2,5,6}:{(49,1),(52,1),(58,1)}
        70:{1,5,6}:{(50,1),(53,1),(84,1)}
        71:{3,4,7}:{(51,1),(88,1),(91,1),(92,1),(123,1)}
        72:{1,3,5,7}:{(51,1),(53,1),(54,1),(89,1),(91,1),(93,1),(123,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(55,1),(90,1),(92,1),(93,1),(123,1)}
        74:{1,2,6,7}:{(54,1),(55,1),(93,1),(97,1),(118,1)}
        75:{2,4,5}:{(56,1),(94,1)}
        76:{3,4,6}:{(56,1),(57,1),(59,1),(94,1),(95,1)}
        77:{1,3,6}:{(57,1),(60,1),(95,1),(97,1)}
        78:{2,3,6}:{(57,1),(58,1),(61,1),(97,1)}
        79:{1,4,7}:{(59,1),(60,1),(95,1),(136,1)}
        80:{2,3,4,7}:{(59,1),(61,1),(92,1),(96,1),(98,1),(123,1)}
        81:{1,2,5,7}:{(60,1),(61,1),(97,1),(98,1),(124,1)}
        82:{1,4,6}:{(62,1),(65,1),(99,1),(100,1)}
        83:{3,6}:{(63,1),(66,1)}
        84:{1,4,6}:{(64,1),(67,1),(70,1),(101,1)}
        85:{3,4,7}:{(65,1),(66,1),(100,1),(104,1),(138,1)}
        86:{1,3,5,7}:{(66,1),(67,1),(101,1),(103,1),(105,1),(126,1)}
        87:{2,3,5,7}:{(66,1),(102,1),(104,1),(105,1),(127,1),(129,1),(137,1)}
        88:{3,4,6}:{(68,1),(71,1),(106,1),(107,1),(108,1),(131,1),(138,1)}
        89:{1,3,5,6}:{(68,1),(70,1),(72,1),(77,1),(101,1),(107,1),(109,1),(111,1),(126,1),(131,1),(132,1)}
        90:{2,3,5,6}:{(68,1),(69,1),(73,1),(78,1),(102,1),(108,1),(109,1),(112,1),(127,1),(131,1),(137,1)}
        91:{1,4,7}:{(71,1),(72,1),(107,1)}
        92:{2,4,7}:{(71,1),(73,1),(108,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(109,1),(110,1)}
        94:{3,5}:{(75,1),(76,1),(111,1)}
        95:{1,4,6}:{(76,1),(77,1),(79,1),(111,1)}
        96:{2,3,4,6}:{(76,1),(78,1),(80,1),(108,1),(112,1),(113,1),(131,1),(138,1)}
        97:{1,2,6}:{(77,1),(78,1),(81,1)}
        98:{1,2,4,7}:{(79,1),(80,1),(81,1),(113,1),(114,1)}
        99:{1,4,5}:{(82,1),(115,1)}
       100:{3,4,6}:{(82,1),(83,1),(85,1),(115,1),(117,1)}
       101:{1,3,6}:{(83,1),(84,1),(86,1),(118,1)}
       102:{2,3,6}:{(83,1),(87,1),(117,1),(118,1)}
       103:{1,3,4,7}:{(85,1),(86,1),(91,1),(116,1),(119,1),(123,1)}
       104:{2,4,7}:{(85,1),(87,1),(117,1),(139,1)}
       105:{1,2,5,7}:{(86,1),(87,1),(118,1),(119,1),(133,1)}
       106:{3,4,5}:{(88,1),(94,1),(115,1),(120,1),(121,1),(135,1)}
       107:{1,4,6}:{(88,1),(89,1),(91,1),(120,1),(136,1)}
       108:{2,4,6}:{(88,1),(90,1),(92,1),(121,1),(139,1)}
       109:{1,2,5,6}:{(89,1),(90,1),(93,1),(97,1),(118,1),(122,1),(124,1),(133,1)}
       110:{1,2,4,7}:{(91,1),(92,1),(93,1),(122,1),(123,1)}
       111:{1,5}:{(94,1),(95,1)}
       112:{2,3,5}:{(94,1),(96,1),(121,1),(124,1),(135,1)}
       113:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(124,1),(125,1),(136,1)}
       114:{1,3,7}:{(98,1),(123,1),(125,1)}
       115:{3,5}:{(99,1),(100,1),(127,1)}
       116:{1,3,4,6}:{(100,1),(101,1),(103,1),(107,1),(126,1),(128,1),(131,1),(138,1)}
       117:{2,4,6}:{(100,1),(102,1),(104,1),(127,1)}
       118:{1,2,6}:{(101,1),(102,1),(105,1)}
       119:{1,2,4,7}:{(103,1),(104,1),(105,1),(128,1),(129,1)}
       120:{1,4,5}:{(106,1),(107,1),(111,1),(126,1)}
       121:{2,4,5}:{(106,1),(108,1),(112,1),(127,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(110,1),(130,1),(131,1)}
       123:{3,7}:{(110,1),(131,1)}
       124:{1,2,5}:{(111,1),(112,1),(113,1),(132,1)}
       125:{1,3,6}:{(113,1),(114,1),(131,1),(132,1)}
       126:{1,3,5}:{(115,1),(116,1),(120,1),(133,1),(135,1)}
       127:{2,5}:{(115,1),(117,1)}
       128:{1,2,4,6}:{(116,1),(117,1),(118,1),(119,1),(133,1),(134,1),(139,1)}
       129:{2,3,7}:{(119,1),(123,1),(134,1)}
       130:{1,2,4,5}:{(120,1),(121,1),(122,1),(124,1),(133,1),(135,1),(136,1),(139,1)}
       131:{3,6}:{(122,1),(123,1),(135,1)}
       132:{1,3,5}:{(124,1),(125,1),(135,1),(136,1)}
       133:{1,2,5}:{(126,1),(127,1),(128,1),(137,1)}
       134:{2,3,6}:{(128,1),(129,1),(131,1),(137,1)}
       135:{3,5}:{(130,1),(131,1),(138,1)}
       136:{1,4}:{(132,1),(138,1)}
       137:{2,3,5}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,4}:{(135,1),(136,1),(139,1)}
       139:{2,4}:{(137,1),(138,1)}

1837 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(31,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(42,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(14,1),(34,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(7,1),(19,1),(38,1),(39,1),(42,1),(43,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(19,1)}
        7:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(47,1),(48,1)}
        8:{1,2,4,5,6}:{(5,1),(12,1),(14,1),(32,1),(33,1),(34,1)}
        9:{3,4,6}:{(5,1),(6,1),(14,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(29,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(30,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(19,1),(40,1),(41,1),(42,1)}
       13:{3,4,6,7}:{(7,1),(9,1),(19,1)}
       14:{3,5,6}:{(8,1),(9,1),(19,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(23,1),(25,1),(58,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(24,1),(25,1),(58,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(42,1),(57,1),(59,1)}
       18:{1,2,4,5,6,7}:{(12,1),(27,1),(47,1),(48,1),(49,1)}
       19:{3,5,7}:{(12,1),(13,1),(14,1)}
       20:{1,3,4,6,7}:{(13,1),(15,1),(29,1),(31,1),(47,1),(60,1),(61,1)}
       21:{2,3,4,6,7}:{(13,1),(16,1),(30,1),(31,1),(48,1),(60,1),(61,1)}
       22:{3,4,5,6}:{(14,1),(28,1),(32,1),(33,1),(52,1)}
       23:{1,3,5,6}:{(14,1),(15,1),(29,1),(32,1),(34,1),(52,1)}
       24:{2,3,5,6}:{(14,1),(16,1),(30,1),(33,1),(34,1),(52,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,5,6,7}:{(18,1),(19,1),(37,1)}
       28:{3,4,5,7}:{(19,1),(22,1),(37,1),(40,1),(41,1),(56,1)}
       29:{1,3,5,7}:{(19,1),(20,1),(23,1),(40,1),(42,1),(56,1)}
       30:{2,3,5,7}:{(19,1),(21,1),(24,1),(41,1),(42,1),(56,1)}
       31:{1,2,4,6,7}:{(20,1),(21,1),(25,1),(42,1),(43,1),(57,1)}
       32:{1,4,5,6}:{(22,1),(23,1),(40,1)}
       33:{2,4,5,6}:{(22,1),(24,1),(41,1)}
       34:{1,2,5,6}:{(23,1),(24,1),(25,1),(42,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(57,1)}
       37:{3,4,6,7}:{(27,1),(28,1),(47,1),(48,1),(60,1)}
       38:{1,3,5,6,7}:{(27,1),(29,1),(47,1),(49,1),(60,1)}
       39:{2,3,5,6,7}:{(27,1),(30,1),(48,1),(49,1),(60,1)}
       40:{1,4,5,7}:{(28,1),(29,1),(32,1),(47,1)}
       41:{2,4,5,7}:{(28,1),(30,1),(33,1),(48,1)}
       42:{1,2,5,7}:{(29,1),(30,1),(31,1),(34,1)}
       43:{1,2,3,6,7}:{(31,1),(35,1),(51,1),(60,1)}
       44:{1,2,4,5,6}:{(32,1),(33,1),(34,1),(50,1),(52,1),(53,1)}
       45:{1,2,3,5,6}:{(34,1),(35,1),(51,1),(52,1),(53,1),(54,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(40,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(41,1)}
       49:{1,2,5,6,7}:{(38,1),(39,1),(42,1),(55,1)}
       50:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(44,1),(55,1),(56,1),(57,1)}
       51:{1,2,3,5,7}:{(42,1),(43,1),(45,1),(56,1),(57,1)}
       52:{3,5,6}:{(44,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(45,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(50,1),(60,1)}
       56:{3,5,7}:{(50,1),(52,1),(60,1),(61,1)}
       57:{1,2,4,7}:{(51,1),(53,1),(61,1)}
       58:{3,4,6}:{(52,1),(53,1),(61,1),(62,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(58,1),(59,1)}

1838 :   0:{1,3,4,5,7}:{(2,1),(3,1),(17,1),(25,1),(72,1),(114,1),(118,1),(124,1),(169,1),(173,1)}
         1:{2,3,4,5,7}:{(4,1),(5,1),(19,1),(21,1),(68,1),(113,1),(119,1),(128,1),(169,1),(176,1)}
         2:{1,2,4,5,7}:{(0,1),(8,1),(9,1),(35,1),(40,1),(86,1),(93,1),(95,1)}
         3:{1,3,4,6}:{(0,1),(9,1),(10,1),(96,1),(148,1),(188,1),(192,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(38,1),(40,1),(90,1),(93,1),(99,1)}
         5:{2,3,4,6}:{(1,1),(12,1),(13,1),(100,1),(143,1),(188,1),(194,1)}
         6:{1,3,4,6,7}:{(3,1),(16,1),(17,1),(30,1),(77,1),(114,1),(134,1)}
         7:{2,3,4,6,7}:{(5,1),(18,1),(19,1),(55,1),(108,1),(119,1),(166,1)}
         8:{2,3,5,7}:{(2,1),(21,1),(22,1),(68,1),(169,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(22,1),(23,1),(69,1)}
        10:{1,3,5,6}:{(3,1),(17,1),(23,1),(24,1),(70,1),(72,1),(185,1)}
        11:{1,3,5,7}:{(4,1),(25,1),(26,1),(72,1),(169,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(26,1),(27,1),(73,1)}
        13:{2,3,5,6}:{(5,1),(19,1),(27,1),(28,1),(68,1),(74,1),(200,1)}
        14:{1,3,5,6,7}:{(17,1),(29,1),(30,1),(31,1),(77,1),(117,1)}
        15:{1,4,5,6,7}:{(30,1),(31,1),(164,1)}
        16:{1,2,4,6,7}:{(6,1),(9,1),(34,1),(35,1),(86,1)}
        17:{1,3,5,7}:{(6,1),(10,1),(35,1),(36,1),(87,1),(163,1)}
        18:{1,2,4,6,7}:{(7,1),(12,1),(37,1),(38,1),(90,1)}
        19:{2,3,5,7}:{(7,1),(13,1),(38,1),(39,1),(91,1),(187,1)}
        20:{1,2,3,5,7}:{(8,1),(11,1),(40,1),(41,1),(93,1)}
        21:{2,3,4,7}:{(8,1),(40,1),(42,1),(86,1),(142,1)}
        22:{2,3,6}:{(8,1),(9,1),(188,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(35,1),(43,1),(93,1)}
        24:{1,4,5,6}:{(10,1),(36,1),(45,1),(99,1),(148,1)}
        25:{1,3,4,7}:{(11,1),(40,1),(46,1),(90,1),(142,1)}
        26:{1,3,6}:{(11,1),(12,1),(188,1)}
        27:{1,2,5,6}:{(12,1),(13,1),(38,1),(47,1),(93,1)}
        28:{2,4,5,6}:{(13,1),(39,1),(49,1),(95,1),(143,1)}
        29:{1,2,5,6,7}:{(14,1),(35,1),(50,1),(51,1),(53,1),(140,1),(163,1)}
        30:{1,4,6,7}:{(14,1),(36,1),(52,1),(148,1)}
        31:{3,5,6,7}:{(15,1),(52,1),(53,1),(186,1)}
        32:{2,3,5,6,7}:{(19,1),(54,1),(55,1),(56,1),(108,1),(112,1)}
        33:{2,4,5,6,7}:{(55,1),(56,1),(132,1)}
        34:{2,3,6,7}:{(16,1),(22,1),(59,1),(77,1)}
        35:{1,2,5,7}:{(16,1),(17,1),(23,1),(59,1)}
        36:{1,4,5,7}:{(17,1),(24,1),(30,1),(61,1)}
        37:{1,3,6,7}:{(18,1),(26,1),(63,1),(108,1)}
        38:{1,2,5,7}:{(18,1),(19,1),(27,1),(63,1)}
        39:{2,4,5,7}:{(19,1),(28,1),(55,1),(65,1)}
        40:{1,2,4,7}:{(20,1),(21,1),(25,1),(66,1)}
        41:{1,2,3,6}:{(20,1),(22,1),(26,1),(66,1)}
        42:{2,3,4,6}:{(21,1),(22,1),(66,1),(68,1),(69,1),(123,1)}
        43:{2,3,5,6}:{(22,1),(23,1),(59,1),(68,1),(69,1),(70,1)}
        44:{1,2,4,5,6}:{(23,1),(24,1),(60,1),(69,1),(70,1),(71,1),(122,1),(125,1),(127,1),(132,1),(168,1),(185,1)}
        45:{3,4,5,6}:{(24,1),(61,1),(70,1),(71,1),(128,1),(175,1)}
        46:{1,3,4,6}:{(25,1),(26,1),(66,1),(72,1),(73,1),(123,1)}
        47:{1,3,5,6}:{(26,1),(27,1),(63,1),(72,1),(73,1),(74,1)}
        48:{1,2,4,5,6}:{(27,1),(28,1),(64,1),(73,1),(74,1),(75,1),(122,1),(130,1),(131,1),(164,1),(168,1),(200,1)}
        49:{3,4,5,6}:{(28,1),(65,1),(74,1),(75,1),(124,1),(172,1)}
        50:{2,3,5,6,7}:{(29,1),(59,1),(76,1),(77,1),(112,1),(133,1)}
        51:{1,2,4,6,7}:{(29,1),(30,1),(60,1),(76,1),(77,1),(78,1),(134,1),(135,1),(168,1)}
        52:{3,4,6,7}:{(30,1),(31,1),(61,1),(77,1),(78,1),(175,1)}
        53:{2,5,6,7}:{(31,1),(78,1),(200,1)}
        54:{1,2,5,6,7}:{(32,1),(38,1),(79,1),(80,1),(82,1),(140,1),(187,1)}
        55:{2,4,6,7}:{(32,1),(39,1),(81,1),(143,1)}
        56:{3,5,6,7}:{(33,1),(81,1),(82,1),(162,1)}
        57:{1,2,3,6,7}:{(34,1),(37,1),(41,1),(83,1),(84,1),(105,1),(139,1),(188,1),(208,1)}
        58:{2,3,4,6,7}:{(34,1),(42,1),(83,1),(85,1),(86,1),(104,1),(142,1),(143,1),(188,1)}
        59:{2,3,5,7}:{(34,1),(35,1),(43,1),(86,1),(87,1)}
        60:{1,2,4,5,7}:{(35,1),(36,1),(44,1),(51,1),(86,1),(87,1),(88,1),(103,1),(145,1),(147,1),(163,1)}
        61:{3,4,5,7}:{(36,1),(45,1),(52,1),(87,1),(88,1)}
        62:{1,3,4,6,7}:{(37,1),(46,1),(83,1),(89,1),(90,1),(137,1),(142,1),(148,1),(188,1)}
        63:{1,3,5,7}:{(37,1),(38,1),(47,1),(90,1),(91,1)}
        64:{1,2,4,5,7}:{(38,1),(39,1),(48,1),(80,1),(90,1),(91,1),(92,1),(136,1),(151,1),(152,1),(187,1)}
        65:{3,4,5,7}:{(39,1),(49,1),(81,1),(91,1),(92,1)}
        66:{1,2,4,6}:{(40,1),(41,1),(42,1),(46,1),(93,1)}
        67:{1,2,3,5,6}:{(41,1),(43,1),(47,1),(84,1),(93,1),(94,1),(97,1),(102,1),(140,1),(153,1),(188,1),(196,1),(197,1),(208,1)}
        68:{2,3,5}:{(42,1),(93,1),(95,1),(153,1)}
        69:{2,4,6}:{(43,1),(86,1),(95,1),(96,1)}
        70:{3,5,6}:{(44,1),(87,1),(96,1),(153,1),(188,1)}
        71:{2,4,5,6}:{(45,1),(88,1),(98,1),(160,1),(194,1)}
        72:{1,3,5}:{(46,1),(93,1),(99,1),(153,1)}
        73:{1,4,6}:{(47,1),(90,1),(99,1),(100,1)}
        74:{3,5,6}:{(48,1),(91,1),(100,1),(153,1),(188,1)}
        75:{1,4,5,6}:{(49,1),(92,1),(101,1),(156,1),(192,1)}
        76:{2,4,6,7}:{(50,1),(86,1),(103,1),(104,1),(143,1)}
        77:{3,6,7}:{(51,1),(87,1),(188,1)}
        78:{2,4,6,7}:{(52,1),(53,1),(88,1),(106,1),(194,1)}
        79:{1,3,5,6,7}:{(54,1),(63,1),(107,1),(108,1),(117,1),(165,1)}
        80:{1,2,4,6,7}:{(54,1),(55,1),(64,1),(107,1),(108,1),(109,1),(166,1),(167,1),(168,1)}
        81:{3,4,6,7}:{(55,1),(56,1),(65,1),(108,1),(109,1),(172,1)}
        82:{1,5,6,7}:{(56,1),(109,1),(185,1)}
        83:{1,2,4,6,7}:{(57,1),(58,1),(62,1),(66,1),(110,1),(111,1),(134,1),(166,1),(168,1)}
        84:{1,2,3,5,7}:{(57,1),(59,1),(63,1),(67,1),(110,1),(111,1),(115,1),(121,1),(169,1),(203,1),(204,1)}
        85:{2,3,5,7}:{(58,1),(68,1),(110,1),(112,1),(113,1),(133,1),(169,1)}
        86:{2,4,7}:{(59,1),(69,1),(114,1)}
        87:{3,5,7}:{(60,1),(70,1),(77,1),(114,1)}
        88:{2,4,5,7}:{(61,1),(71,1),(78,1),(116,1)}
        89:{1,3,5,7}:{(62,1),(72,1),(110,1),(117,1),(118,1),(165,1),(169,1)}
        90:{1,4,7}:{(63,1),(73,1),(119,1)}
        91:{3,5,7}:{(64,1),(74,1),(108,1),(119,1)}
        92:{1,4,5,7}:{(65,1),(75,1),(109,1),(120,1)}
        93:{1,2,5}:{(66,1),(68,1),(72,1)}
        94:{1,2,4,6}:{(67,1),(69,1),(73,1),(111,1),(122,1),(123,1),(125,1),(130,1)}
        95:{2,4,5}:{(68,1),(69,1),(124,1)}
        96:{3,4,6}:{(69,1),(70,1),(114,1),(124,1),(125,1)}
        97:{1,3,5,6}:{(70,1),(115,1),(125,1),(127,1),(178,1),(182,1),(185,1),(201,1)}
        98:{2,3,5,6}:{(70,1),(71,1),(116,1),(126,1),(127,1),(179,1),(202,1)}
        99:{1,4,5}:{(72,1),(73,1),(128,1)}
       100:{3,4,6}:{(73,1),(74,1),(119,1),(128,1),(130,1)}
       101:{1,3,5,6}:{(74,1),(75,1),(120,1),(129,1),(131,1),(178,1),(201,1)}
       102:{2,3,5,6}:{(74,1),(121,1),(130,1),(131,1),(179,1),(184,1),(200,1),(202,1)}
       103:{2,4,5,7}:{(76,1),(132,1),(133,1)}
       104:{3,4,6,7}:{(76,1),(77,1),(114,1),(133,1),(134,1),(172,1)}
       105:{1,3,6,7}:{(77,1),(115,1),(134,1),(135,1),(201,1)}
       106:{2,3,6,7}:{(77,1),(78,1),(116,1),(135,1),(202,1)}
       107:{1,4,6,7}:{(79,1),(90,1),(136,1),(137,1),(148,1)}
       108:{3,6,7}:{(80,1),(91,1),(188,1)}
       109:{1,4,6,7}:{(81,1),(82,1),(92,1),(138,1),(192,1)}
       110:{1,2,5,7}:{(83,1),(85,1),(89,1),(93,1),(140,1),(163,1),(187,1)}
       111:{1,2,4,7}:{(84,1),(86,1),(90,1),(94,1),(142,1),(145,1),(151,1)}
       112:{2,3,5,6}:{(85,1),(140,1),(143,1),(162,1),(188,1)}
       113:{2,4,5,7}:{(85,1),(86,1),(95,1),(143,1),(144,1)}
       114:{3,4,7}:{(86,1),(87,1),(96,1),(145,1)}
       115:{1,3,5,7}:{(87,1),(97,1),(105,1),(145,1),(147,1),(163,1),(193,1)}
       116:{2,3,5,7}:{(87,1),(88,1),(98,1),(106,1),(146,1),(147,1)}
       117:{1,3,5,6}:{(89,1),(140,1),(148,1),(186,1),(188,1)}
       118:{1,4,5,7}:{(89,1),(90,1),(99,1),(148,1),(149,1)}
       119:{3,4,7}:{(90,1),(91,1),(100,1),(151,1)}
       120:{1,3,5,7}:{(91,1),(92,1),(101,1),(138,1),(150,1),(152,1)}
       121:{2,3,5,7}:{(91,1),(102,1),(139,1),(151,1),(152,1),(187,1),(195,1)}
       122:{1,2,4,5}:{(93,1),(94,1),(95,1),(99,1),(153,1),(156,1),(160,1),(196,1)}
       123:{3,4,6}:{(94,1),(142,1),(153,1),(188,1)}
       124:{3,4,5}:{(95,1),(96,1),(153,1),(156,1)}
       125:{1,4,6}:{(96,1),(97,1),(145,1),(156,1)}
       126:{2,3,4,6}:{(96,1),(98,1),(146,1),(157,1),(158,1)}
       127:{1,2,5,6}:{(97,1),(98,1),(147,1),(158,1),(196,1),(208,1)}
       128:{3,4,5}:{(99,1),(100,1),(153,1),(160,1)}
       129:{1,3,4,6}:{(100,1),(101,1),(150,1),(159,1),(161,1)}
       130:{2,4,6}:{(100,1),(102,1),(151,1),(160,1)}
       131:{1,2,5,6}:{(101,1),(102,1),(152,1),(161,1),(196,1),(208,1)}
       132:{2,4,5,6}:{(103,1),(143,1),(162,1)}
       133:{3,5,7}:{(103,1),(104,1),(162,1),(163,1)}
       134:{1,4,6,7}:{(104,1),(105,1),(145,1),(163,1),(192,1)}
       135:{1,2,6,7}:{(105,1),(106,1),(147,1),(208,1)}
       136:{1,4,5,7}:{(107,1),(164,1),(165,1)}
       137:{3,4,6,7}:{(107,1),(108,1),(119,1),(165,1),(166,1),(175,1)}
       138:{1,3,6,7}:{(108,1),(109,1),(120,1),(167,1),(201,1)}
       139:{2,3,6,7}:{(108,1),(121,1),(166,1),(167,1),(202,1)}
       140:{1,2,5,6}:{(110,1),(112,1),(117,1),(168,1),(185,1),(200,1)}
       141:{1,2,4,5,7}:{(110,1),(111,1),(113,1),(118,1),(122,1),(168,1),(169,1),(173,1),(176,1),(203,1)}
       142:{3,4,7}:{(111,1),(123,1),(169,1)}
       143:{2,4,6}:{(112,1),(113,1),(172,1)}
       144:{3,4,5,7}:{(113,1),(114,1),(124,1),(133,1),(169,1),(172,1),(173,1)}
       145:{1,4,7}:{(114,1),(115,1),(125,1)}
       146:{2,3,4,7}:{(114,1),(116,1),(126,1),(174,1)}
       147:{1,2,5,7}:{(115,1),(116,1),(127,1),(135,1),(174,1)}
       148:{1,4,6}:{(117,1),(118,1),(175,1)}
       149:{3,4,5,7}:{(118,1),(119,1),(128,1),(165,1),(169,1),(175,1),(176,1)}
       150:{1,3,4,7}:{(119,1),(120,1),(129,1),(177,1)}
       151:{2,4,7}:{(119,1),(121,1),(130,1)}
       152:{1,2,5,7}:{(120,1),(121,1),(131,1),(167,1),(177,1)}
       153:{3,5}:{(122,1),(123,1)}
       154:{1,3,4,6}:{(123,1),(125,1),(170,1),(178,1),(180,1),(182,1),(201,1),(206,1)}
       155:{2,3,4,6}:{(123,1),(130,1),(171,1),(179,1),(180,1),(184,1),(202,1),(207,1)}
       156:{1,4,5}:{(124,1),(125,1),(178,1)}
       157:{2,3,4,5}:{(124,1),(126,1),(179,1),(181,1),(207,1)}
       158:{1,2,4,6}:{(125,1),(126,1),(127,1),(174,1),(181,1),(182,1)}
       159:{1,3,4,5}:{(128,1),(129,1),(178,1),(183,1),(206,1)}
       160:{2,4,5}:{(128,1),(130,1),(179,1)}
       161:{1,2,4,6}:{(129,1),(130,1),(131,1),(177,1),(183,1),(184,1)}
       162:{3,5,6}:{(132,1),(133,1),(172,1),(185,1)}
       163:{1,5,7}:{(133,1),(134,1),(185,1)}
       164:{1,4,5,6}:{(136,1),(148,1),(186,1)}
       165:{3,5,7}:{(136,1),(137,1),(186,1),(187,1)}
       166:{2,4,6,7}:{(137,1),(139,1),(151,1),(187,1),(194,1)}
       167:{1,2,6,7}:{(138,1),(139,1),(152,1),(208,1)}
       168:{1,2,4,6}:{(140,1),(141,1),(143,1),(148,1),(188,1),(192,1),(194,1),(208,1)}
       169:{3,5,7}:{(141,1),(142,1),(153,1),(188,1)}
       170:{1,3,4,7}:{(142,1),(145,1),(154,1),(189,1),(191,1),(193,1)}
       171:{2,3,4,7}:{(142,1),(151,1),(155,1),(190,1),(191,1),(195,1)}
       172:{3,4,6}:{(143,1),(144,1),(162,1),(188,1),(192,1)}
       173:{1,4,5,7}:{(144,1),(145,1),(156,1),(163,1),(189,1),(192,1)}
       174:{1,2,4,7}:{(145,1),(146,1),(147,1),(158,1),(193,1)}
       175:{3,4,6}:{(148,1),(149,1),(186,1),(188,1),(194,1)}
       176:{2,4,5,7}:{(149,1),(151,1),(160,1),(187,1),(190,1),(194,1)}
       177:{1,2,4,7}:{(150,1),(151,1),(152,1),(161,1),(195,1)}
       178:{1,3,5}:{(153,1),(154,1),(156,1),(196,1)}
       179:{2,3,5}:{(153,1),(155,1),(160,1),(196,1)}
       180:{1,2,4,6}:{(154,1),(155,1),(191,1),(196,1),(197,1),(208,1),(209,1)}
       181:{1,2,4,5}:{(156,1),(157,1),(158,1),(196,1),(198,1),(209,1)}
       182:{1,3,6}:{(158,1),(193,1),(198,1)}
       183:{1,2,4,5}:{(159,1),(160,1),(161,1),(196,1),(199,1),(209,1)}
       184:{2,3,6}:{(161,1),(195,1),(199,1)}
       185:{1,5,6}:{(162,1),(163,1),(192,1)}
       186:{3,5,6}:{(164,1),(165,1),(175,1),(200,1)}
       187:{2,5,7}:{(165,1),(166,1),(200,1)}
       188:{3,6}:{(168,1),(169,1)}
       189:{1,3,5,7}:{(169,1),(170,1),(173,1),(178,1),(201,1),(203,1)}
       190:{2,3,5,7}:{(169,1),(171,1),(176,1),(179,1),(202,1),(203,1)}
       191:{1,2,4,7}:{(170,1),(171,1),(180,1),(203,1),(204,1)}
       192:{1,4,6}:{(172,1),(173,1),(185,1),(201,1)}
       193:{1,3,7}:{(174,1),(182,1)}
       194:{2,4,6}:{(175,1),(176,1),(200,1),(202,1)}
       195:{2,3,7}:{(177,1),(184,1)}
       196:{1,2,5}:{(178,1),(179,1),(180,1)}
       197:{1,2,3,6}:{(180,1),(182,1),(184,1),(204,1),(205,1)}
       198:{1,3,5}:{(181,1),(182,1),(206,1)}
       199:{2,3,5}:{(183,1),(184,1),(207,1)}
       200:{2,5,6}:{(186,1),(187,1),(194,1)}
       201:{1,3,6}:{(188,1),(189,1),(192,1),(208,1)}
       202:{2,3,6}:{(188,1),(190,1),(194,1),(208,1)}
       203:{1,2,5,7}:{(189,1),(190,1),(191,1),(196,1),(208,1)}
       204:{1,2,3,7}:{(191,1),(193,1),(195,1),(197,1)}
       205:{1,2,3,5}:{(196,1),(197,1),(198,1),(199,1),(209,1)}
       206:{1,3,4}:{(198,1),(209,1)}
       207:{2,3,4}:{(199,1),(209,1)}
       208:{1,2,6}:{(201,1),(202,1),(203,1)}
       209:{1,2,4}:{(205,1),(206,1),(207,1)}

1839 :  0:{1,2,3,4,7}:{(1,1),(2,1),(30,1),(78,1)}
        1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(39,1),(68,1)}
        2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        3:{1,3,4,5,7}:{(4,1),(7,1),(18,1),(22,1),(43,1)}
        4:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(10,1),(26,1),(30,1)}
        5:{1,2,3,5}:{(1,1),(10,1)}
        6:{1,2,3,6}:{(2,1),(9,1)}
        7:{1,3,4,6}:{(3,1),(9,1),(13,1),(29,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(18,1),(35,1),(43,1)}
        9:{1,2,4,6}:{(4,1),(6,1),(7,1),(15,1),(16,1)}
       10:{1,2,4,5}:{(5,1),(18,1),(19,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(16,1),(19,1),(20,1),(37,1),(65,1),(68,1)}
       12:{1,2,3,6,7}:{(6,1),(17,1),(20,1),(64,1),(82,1)}
       13:{1,3,5,6}:{(7,1),(16,1),(21,1),(22,1),(37,1)}
       14:{1,3,4,6,7}:{(7,1),(17,1),(22,1),(43,1),(44,1),(64,1)}
       15:{2,3,4,6}:{(8,1),(9,1),(23,1),(29,1)}
       16:{1,2,5,6}:{(9,1),(13,1),(23,1),(26,1)}
       17:{1,2,4,6,7}:{(9,1),(12,1),(14,1),(24,1),(26,1),(30,1)}
       18:{3,4,5}:{(10,1),(29,1)}
       19:{1,2,4,6}:{(10,1),(11,1),(29,1),(30,1)}
       20:{1,2,3,5,7}:{(11,1),(12,1),(26,1),(30,1),(53,1),(77,1),(78,1)}
       21:{1,4,5,6}:{(13,1),(32,1),(33,1)}
       22:{1,3,5,7}:{(13,1),(14,1),(26,1),(33,1),(53,1)}
       23:{2,3,5,6}:{(15,1),(16,1),(34,1),(35,1),(37,1)}
       24:{2,3,4,6,7}:{(15,1),(17,1),(35,1),(43,1),(61,1),(64,1)}
       25:{1,2,4,5,6}:{(16,1),(19,1),(21,1),(34,1),(37,1),(38,1),(45,1),(62,1),(65,1)}
       26:{1,2,5,7}:{(16,1),(17,1),(22,1),(35,1)}
       27:{2,3,4,5}:{(18,1),(40,1),(41,1)}
       28:{1,3,4,5}:{(18,1),(40,1),(42,1)}
       29:{3,4,6}:{(18,1),(19,1),(37,1),(43,1)}
       30:{1,2,4,7}:{(19,1),(20,1),(43,1)}
       31:{1,3,5,6,7}:{(22,1),(36,1),(44,1),(64,1),(70,1)}
       32:{3,4,5,6}:{(21,1),(37,1),(45,1),(46,1)}
       33:{1,4,5,7}:{(21,1),(22,1),(44,1),(46,1)}
       34:{2,4,5,6}:{(23,1),(48,1),(49,1)}
       35:{2,3,5,7}:{(23,1),(24,1),(26,1),(49,1),(53,1)}
       36:{1,2,5,6,7}:{(26,1),(31,1),(47,1),(50,1),(79,1),(83,1)}
       37:{3,5,6}:{(25,1),(29,1),(53,1)}
       38:{1,2,4,5,7}:{(25,1),(26,1),(30,1),(33,1),(49,1),(50,1),(53,1),(60,1),(74,1),(77,1)}
       39:{1,2,3,4}:{(54,1)}
       40:{1,2,4,5}:{(27,1),(28,1),(54,1),(55,1)}
       41:{2,3,4,6}:{(27,1),(29,1),(51,1),(55,1),(56,1)}
       42:{1,3,4,6}:{(28,1),(29,1),(52,1),(55,1),(57,1)}
       43:{3,4,7}:{(29,1),(30,1),(53,1)}
       44:{1,4,6,7}:{(31,1),(33,1),(59,1)}
       45:{2,4,5,6}:{(32,1),(51,1),(60,1)}
       46:{3,4,5,7}:{(32,1),(33,1),(53,1),(59,1),(60,1)}
       47:{2,3,5,6,7}:{(35,1),(36,1),(61,1),(64,1),(80,1)}
       48:{3,4,5,6}:{(34,1),(37,1),(62,1),(63,1)}
       49:{2,4,5,7}:{(34,1),(35,1),(61,1),(63,1)}
       50:{1,2,4,6,7}:{(36,1),(38,1),(44,1),(61,1),(64,1),(71,1),(81,1),(82,1)}
       51:{2,3,5,6}:{(37,1),(41,1),(45,1),(65,1),(66,1)}
       52:{1,3,5,6}:{(37,1),(42,1),(62,1),(65,1),(67,1)}
       53:{3,5,7}:{(37,1),(38,1),(43,1),(64,1)}
       54:{1,2,3,5}:{(39,1),(40,1),(68,1)}
       55:{1,2,4,6}:{(40,1),(41,1),(42,1),(65,1),(68,1),(69,1)}
       56:{2,3,4,7}:{(41,1),(43,1),(66,1),(69,1)}
       57:{1,3,4,7}:{(42,1),(43,1),(67,1),(69,1)}
       58:{1,4,5,6,7}:{(44,1),(70,1)}
       59:{3,4,6,7}:{(44,1),(46,1),(64,1),(70,1),(71,1)}
       60:{2,4,5,7}:{(45,1),(46,1),(66,1),(71,1)}
       61:{2,4,6,7}:{(47,1),(49,1),(73,1)}
       62:{1,4,5,6}:{(48,1),(52,1),(74,1)}
       63:{3,4,5,7}:{(48,1),(49,1),(53,1),(73,1),(74,1)}
       64:{3,6,7}:{(50,1),(53,1)}
       65:{1,2,5,6}:{(51,1),(52,1),(55,1),(77,1)}
       66:{2,3,5,7}:{(51,1),(53,1),(56,1),(60,1),(75,1),(77,1)}
       67:{1,3,5,7}:{(52,1),(53,1),(57,1),(74,1),(76,1),(77,1)}
       68:{1,2,3,6}:{(54,1),(55,1),(78,1)}
       69:{1,2,4,7}:{(55,1),(56,1),(57,1),(77,1),(78,1)}
       70:{3,5,6,7}:{(58,1),(59,1),(79,1)}
       71:{2,4,6,7}:{(59,1),(60,1),(75,1),(79,1)}
       72:{2,4,5,6,7}:{(61,1),(80,1)}
       73:{3,4,6,7}:{(61,1),(63,1),(64,1),(80,1),(81,1)}
       74:{1,4,5,7}:{(62,1),(63,1),(67,1),(81,1)}
       75:{2,3,6,7}:{(64,1),(66,1),(71,1),(82,1)}
       76:{1,3,6,7}:{(64,1),(67,1),(81,1),(82,1)}
       77:{1,2,5,7}:{(65,1),(66,1),(67,1),(69,1),(82,1)}
       78:{1,2,3,7}:{(68,1),(69,1)}
       79:{2,5,6,7}:{(70,1),(71,1)}
       80:{3,5,6,7}:{(72,1),(73,1),(83,1)}
       81:{1,4,6,7}:{(73,1),(74,1),(76,1),(83,1)}
       82:{1,2,6,7}:{(75,1),(76,1),(77,1)}
       83:{1,5,6,7}:{(80,1),(81,1)}

1840 :   0:{1,2,3,6,7}:{(3,1),(4,1),(40,1),(48,1),(83,1),(84,1),(85,1),(104,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(15,1),(19,1),(41,1),(48,1),(53,1),(84,1),(99,1),(104,1)}
         2:{1,3,4,6,7}:{(4,1),(6,1),(15,1),(22,1),(42,1),(48,1),(57,1),(85,1),(100,1),(104,1)}
         3:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(26,1),(29,1),(58,1),(65,1),(94,1),(95,1)}
         4:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(30,1),(60,1),(71,1),(74,1),(96,1),(103,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(10,1),(11,1),(29,1),(61,1),(70,1)}
         6:{1,3,5,7}:{(2,1),(9,1),(12,1),(13,1),(29,1),(62,1),(73,1)}
         7:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(40,1),(43,1),(48,1),(79,1),(80,1),(81,1),(83,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(75,1),(99,1),(100,1)}
         9:{1,2,5,7}:{(4,1),(5,1),(6,1),(17,1),(79,1),(86,1),(87,1)}
        10:{2,4,5,7}:{(5,1),(18,1),(19,1),(76,1),(99,1)}
        11:{2,3,5,6}:{(5,1),(17,1),(19,1),(48,1),(50,1)}
        12:{1,4,5,7}:{(6,1),(21,1),(22,1),(77,1),(100,1)}
        13:{1,3,5,6}:{(6,1),(17,1),(22,1),(48,1),(54,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(90,1),(91,1)}
        15:{3,4,7}:{(8,1),(24,1),(29,1),(88,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(12,1),(25,1),(29,1),(30,1),(33,1),(37,1),(65,1),(89,1),(103,1)}
        17:{1,2,5,6}:{(9,1),(11,1),(13,1),(30,1),(69,1),(72,1)}
        18:{3,4,5,7}:{(10,1),(29,1),(33,1),(34,1),(59,1),(70,1),(92,1)}
        19:{2,4,6}:{(10,1),(11,1),(34,1)}
        20:{2,3,5,6,7}:{(11,1),(31,1),(35,1),(68,1),(70,1),(94,1)}
        21:{3,4,5,7}:{(12,1),(29,1),(37,1),(38,1),(59,1),(73,1),(92,1)}
        22:{1,4,6}:{(12,1),(13,1),(38,1)}
        23:{1,3,5,6,7}:{(13,1),(31,1),(39,1),(68,1),(73,1),(95,1)}
        24:{3,4,6}:{(14,1),(15,1),(43,1),(48,1)}
        25:{1,2,4,5}:{(14,1),(43,1),(76,1),(77,1),(79,1)}
        26:{1,2,3,7}:{(40,1),(45,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(41,1),(45,1),(46,1),(99,1),(104,1)}
        28:{1,3,4,7}:{(15,1),(42,1),(45,1),(47,1),(100,1),(104,1)}
        29:{3,5,7}:{(15,1),(16,1),(43,1),(48,1),(97,1),(104,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(19,1),(22,1),(48,1),(52,1),(56,1),(83,1)}
        31:{1,2,5,6,7}:{(17,1),(20,1),(23,1),(49,1),(86,1),(87,1),(101,1)}
        32:{2,4,5,6}:{(19,1),(50,1),(51,1)}
        33:{1,4,5,7}:{(18,1),(47,1),(52,1),(77,1),(86,1),(100,1)}
        34:{3,4,6}:{(18,1),(19,1),(48,1),(50,1),(52,1)}
        35:{2,4,6,7}:{(19,1),(20,1),(51,1),(53,1),(99,1)}
        36:{1,4,5,6}:{(22,1),(54,1),(55,1)}
        37:{2,4,5,7}:{(21,1),(46,1),(56,1),(76,1),(87,1),(99,1)}
        38:{3,4,6}:{(21,1),(22,1),(48,1),(54,1),(56,1)}
        39:{1,4,6,7}:{(22,1),(23,1),(55,1),(57,1),(100,1)}
        40:{1,2,3,6}:{(26,1),(58,1),(60,1),(102,1)}
        41:{2,3,4,6}:{(24,1),(27,1),(60,1),(61,1),(66,1),(88,1),(90,1),(102,1)}
        42:{1,3,4,6}:{(24,1),(28,1),(60,1),(62,1),(67,1),(88,1),(91,1),(102,1)}
        43:{3,5}:{(24,1),(25,1)}
        44:{1,2,4,5,6}:{(25,1),(30,1),(32,1),(36,1),(63,1),(64,1),(69,1),(72,1),(90,1),(91,1),(93,1)}
        45:{1,2,4,7}:{(26,1),(27,1),(28,1),(60,1),(65,1)}
        46:{2,3,5,7}:{(27,1),(29,1),(37,1),(61,1),(65,1),(66,1)}
        47:{1,3,5,7}:{(28,1),(29,1),(33,1),(62,1),(65,1),(67,1)}
        48:{3,6}:{(29,1),(30,1)}
        49:{1,2,4,6,7}:{(30,1),(31,1),(35,1),(39,1),(64,1),(68,1),(71,1),(74,1),(96,1),(103,1)}
        50:{3,5,6}:{(32,1),(34,1),(69,1),(70,1)}
        51:{2,4,5,7}:{(32,1),(35,1),(70,1)}
        52:{1,4,6}:{(33,1),(34,1),(67,1),(69,1)}
        53:{3,4,6,7}:{(34,1),(35,1),(68,1),(70,1),(71,1),(92,1)}
        54:{3,5,6}:{(36,1),(38,1),(72,1),(73,1)}
        55:{1,4,5,7}:{(36,1),(39,1),(73,1)}
        56:{2,4,6}:{(37,1),(38,1),(66,1),(72,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(68,1),(73,1),(74,1),(92,1)}
        58:{1,2,3,5}:{(40,1),(75,1),(79,1),(97,1)}
        59:{3,4,5}:{(43,1),(76,1),(77,1),(78,1),(97,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(42,1),(45,1),(75,1),(79,1),(83,1)}
        61:{2,3,5}:{(41,1),(43,1),(76,1),(79,1),(97,1)}
        62:{1,3,5}:{(42,1),(43,1),(77,1),(79,1),(97,1)}
        63:{3,5,6}:{(43,1),(44,1),(48,1),(78,1),(82,1)}
        64:{1,2,4,5,7}:{(44,1),(49,1),(51,1),(55,1),(82,1),(86,1),(87,1),(99,1),(100,1),(101,1)}
        65:{1,2,5,7}:{(45,1),(46,1),(47,1),(79,1),(83,1)}
        66:{2,3,6}:{(46,1),(48,1),(56,1),(83,1)}
        67:{1,3,6}:{(47,1),(48,1),(52,1),(83,1)}
        68:{3,6,7}:{(48,1),(49,1),(82,1),(104,1)}
        69:{1,5,6}:{(50,1),(52,1),(86,1)}
        70:{3,5,7}:{(50,1),(51,1),(53,1),(86,1)}
        71:{1,4,6,7}:{(52,1),(53,1),(85,1),(86,1),(100,1)}
        72:{2,5,6}:{(54,1),(56,1),(87,1)}
        73:{3,5,7}:{(54,1),(55,1),(57,1),(87,1)}
        74:{2,4,6,7}:{(56,1),(57,1),(84,1),(87,1),(99,1)}
        75:{1,2,4}:{(58,1),(88,1)}
        76:{2,4,5}:{(59,1),(61,1),(90,1)}
        77:{1,4,5}:{(59,1),(62,1),(91,1)}
        78:{3,4,6}:{(59,1),(63,1),(90,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(60,1),(61,1),(62,1)}
        80:{2,3,5,6}:{(61,1),(63,1),(66,1),(72,1),(90,1),(93,1),(94,1),(102,1)}
        81:{1,3,5,6}:{(62,1),(63,1),(67,1),(69,1),(91,1),(93,1),(95,1),(102,1)}
        82:{3,5,7}:{(63,1),(64,1),(68,1),(92,1)}
        83:{1,2,6}:{(65,1),(66,1),(67,1)}
        84:{2,3,6,7}:{(66,1),(68,1),(74,1),(94,1),(96,1)}
        85:{1,3,6,7}:{(67,1),(68,1),(71,1),(95,1),(96,1)}
        86:{1,5,7}:{(69,1),(70,1),(71,1)}
        87:{2,5,7}:{(72,1),(73,1),(74,1)}
        88:{3,4}:{(75,1),(97,1)}
        89:{1,2,4,5}:{(75,1),(76,1),(77,1),(79,1),(97,1),(98,1)}
        90:{2,4,6}:{(76,1),(78,1),(80,1),(99,1)}
        91:{1,4,6}:{(77,1),(78,1),(81,1),(100,1)}
        92:{3,4,7}:{(78,1),(82,1),(99,1),(100,1),(104,1)}
        93:{1,2,5,6}:{(79,1),(80,1),(81,1),(83,1),(98,1),(101,1)}
        94:{2,3,5,7}:{(80,1),(82,1),(84,1),(87,1),(99,1),(101,1),(104,1)}
        95:{1,3,5,7}:{(81,1),(82,1),(85,1),(86,1),(100,1),(101,1),(104,1)}
        96:{1,2,6,7}:{(83,1),(84,1),(85,1),(101,1)}
        97:{3,5}:{(88,1),(89,1),(102,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{2,4,7}:{(90,1),(92,1),(94,1)}
       100:{1,4,7}:{(91,1),(92,1),(95,1)}
       101:{1,2,5,7}:{(93,1),(94,1),(95,1),(96,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1841 :   0:{1,2,3,6,7}:{(3,1),(4,1),(48,1),(80,1),(83,1),(84,1),(85,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(42,1),(48,1),(52,1),(84,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(48,1),(54,1),(83,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(29,1),(61,1),(71,1),(72,1),(94,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(30,1),(69,1),(70,1),(90,1),(91,1),(93,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(11,1),(30,1),(60,1),(62,1)}
         6:{1,3,5,7}:{(2,1),(8,1),(12,1),(13,1),(30,1),(59,1),(64,1)}
         7:{1,2,3,5,6}:{(4,1),(14,1),(15,1),(40,1),(48,1),(77,1),(78,1),(79,1),(80,1),(85,1)}
         8:{1,2,5,7}:{(3,1),(5,1),(6,1),(15,1),(79,1),(81,1),(82,1)}
         9:{1,2,4,7}:{(4,1),(14,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(15,1),(19,1),(44,1),(48,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(75,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(15,1),(22,1),(46,1),(48,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(74,1),(95,1)}
        14:{1,2,4,6}:{(7,1),(9,1),(24,1),(25,1),(87,1),(88,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(12,1),(29,1),(63,1),(65,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(11,1),(13,1),(24,1),(29,1),(30,1),(35,1),(38,1),(69,1),(89,1),(101,1)}
        17:{3,4,7}:{(9,1),(25,1),(30,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(28,1),(33,1),(62,1),(66,1),(91,1)}
        19:{2,4,6}:{(10,1),(11,1),(34,1)}
        20:{3,4,5,7}:{(11,1),(30,1),(34,1),(35,1),(56,1),(62,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(28,1),(36,1),(64,1),(66,1),(90,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(30,1),(37,1),(38,1),(56,1),(64,1),(86,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(74,1),(75,1),(79,1)}
        25:{3,4,6}:{(14,1),(17,1),(40,1),(48,1)}
        26:{2,4,5,6}:{(19,1),(43,1),(44,1)}
        27:{1,4,5,6}:{(22,1),(45,1),(46,1)}
        28:{1,2,5,6,7}:{(15,1),(18,1),(21,1),(47,1),(81,1),(82,1),(99,1)}
        29:{1,2,4,6}:{(15,1),(16,1),(19,1),(22,1),(48,1),(53,1),(55,1),(85,1)}
        30:{3,5,7}:{(16,1),(17,1),(40,1),(48,1),(98,1),(104,1)}
        31:{1,3,4,7}:{(17,1),(41,1),(49,1),(51,1),(95,1),(104,1)}
        32:{2,3,4,7}:{(17,1),(42,1),(50,1),(51,1),(96,1),(104,1)}
        33:{2,4,6,7}:{(18,1),(19,1),(43,1),(52,1),(96,1)}
        34:{3,4,6}:{(19,1),(20,1),(44,1),(48,1),(53,1)}
        35:{1,4,5,7}:{(20,1),(49,1),(53,1),(74,1),(81,1),(95,1)}
        36:{1,4,6,7}:{(21,1),(22,1),(45,1),(54,1),(95,1)}
        37:{3,4,6}:{(22,1),(23,1),(46,1),(48,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(50,1),(55,1),(75,1),(82,1),(96,1)}
        39:{1,2,4,5,6}:{(24,1),(26,1),(27,1),(29,1),(57,1),(58,1),(63,1),(65,1),(87,1),(88,1),(92,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(31,1),(59,1),(61,1),(67,1),(87,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(32,1),(60,1),(61,1),(68,1),(88,1),(102,1),(103,1)}
        43:{2,4,5,7}:{(26,1),(33,1),(62,1)}
        44:{3,5,6}:{(26,1),(34,1),(62,1),(63,1)}
        45:{1,4,5,7}:{(27,1),(36,1),(64,1)}
        46:{3,5,6}:{(27,1),(37,1),(64,1),(65,1)}
        47:{1,2,4,6,7}:{(28,1),(29,1),(33,1),(36,1),(57,1),(66,1),(71,1),(72,1),(94,1),(101,1)}
        48:{3,6}:{(29,1),(30,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(35,1),(59,1),(67,1),(69,1)}
        50:{2,3,5,7}:{(30,1),(32,1),(38,1),(60,1),(68,1),(69,1)}
        51:{1,2,4,7}:{(31,1),(32,1),(61,1),(69,1),(70,1)}
        52:{3,4,6,7}:{(33,1),(34,1),(62,1),(66,1),(71,1),(86,1)}
        53:{1,4,6}:{(34,1),(35,1),(63,1),(67,1)}
        54:{3,4,6,7}:{(36,1),(37,1),(64,1),(66,1),(72,1),(86,1)}
        55:{2,4,6}:{(37,1),(38,1),(65,1),(68,1)}
        56:{3,4,5}:{(40,1),(73,1),(74,1),(75,1),(98,1)}
        57:{1,2,4,5,7}:{(39,1),(43,1),(45,1),(47,1),(76,1),(81,1),(82,1),(95,1),(96,1),(99,1)}
        58:{3,5,6}:{(39,1),(40,1),(48,1),(73,1),(76,1)}
        59:{1,3,5}:{(40,1),(41,1),(74,1),(79,1),(98,1)}
        60:{2,3,5}:{(40,1),(42,1),(75,1),(79,1),(98,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(51,1),(79,1),(80,1),(85,1),(100,1)}
        62:{3,5,7}:{(43,1),(44,1),(52,1),(81,1)}
        63:{1,5,6}:{(44,1),(53,1),(81,1)}
        64:{3,5,7}:{(45,1),(46,1),(54,1),(82,1)}
        65:{2,5,6}:{(46,1),(55,1),(82,1)}
        66:{3,6,7}:{(47,1),(48,1),(76,1),(104,1)}
        67:{1,3,6}:{(48,1),(49,1),(53,1),(85,1)}
        68:{2,3,6}:{(48,1),(50,1),(55,1),(85,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(85,1)}
        70:{1,2,3,7}:{(51,1),(80,1),(104,1)}
        71:{1,4,6,7}:{(52,1),(53,1),(81,1),(83,1),(95,1)}
        72:{2,4,6,7}:{(54,1),(55,1),(82,1),(84,1),(96,1)}
        73:{3,4,6}:{(56,1),(58,1),(86,1),(87,1),(88,1),(102,1)}
        74:{1,4,5}:{(56,1),(59,1),(87,1)}
        75:{2,4,5}:{(56,1),(60,1),(88,1)}
        76:{3,5,7}:{(57,1),(58,1),(66,1),(86,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(67,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(65,1),(68,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(70,1),(93,1),(102,1)}
        81:{1,5,7}:{(62,1),(63,1),(71,1)}
        82:{2,5,7}:{(64,1),(65,1),(72,1)}
        83:{1,3,6,7}:{(66,1),(67,1),(71,1),(90,1),(94,1)}
        84:{2,3,6,7}:{(66,1),(68,1),(72,1),(91,1),(94,1)}
        85:{1,2,6}:{(67,1),(68,1),(69,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        88:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(74,1),(75,1),(79,1),(97,1),(98,1),(100,1)}
        90:{1,3,5,7}:{(76,1),(77,1),(81,1),(83,1),(95,1),(99,1),(104,1)}
        91:{2,3,5,7}:{(76,1),(78,1),(82,1),(84,1),(96,1),(99,1),(104,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(85,1),(97,1),(99,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(98,1),(100,1)}
        94:{1,2,6,7}:{(83,1),(84,1),(85,1),(99,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,4,6}:{(87,1),(88,1),(89,1),(92,1),(101,1),(102,1)}
        98:{3,5}:{(89,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(90,1),(91,1),(92,1),(94,1),(101,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1842 :  0:{1,2,3,4,7}:{(1,1),(2,1),(27,1),(78,1)}
        1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(68,1),(69,1)}
        3:{1,3,4,5,7}:{(4,1),(7,1),(20,1),(21,1),(39,1)}
        4:{1,2,4,5,7}:{(1,1),(3,1),(8,1),(9,1),(12,1),(25,1),(27,1)}
        5:{1,2,3,6}:{(1,1),(9,1)}
        6:{1,2,3,5}:{(2,1),(12,1)}
        7:{1,3,4,6}:{(3,1),(9,1),(14,1),(28,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(20,1),(34,1),(39,1)}
        9:{1,2,4,6}:{(4,1),(5,1),(7,1),(15,1),(17,1)}
       10:{1,2,3,6,7}:{(5,1),(16,1),(18,1),(63,1),(82,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(17,1),(18,1),(19,1),(38,1),(66,1),(68,1)}
       12:{1,2,4,5}:{(6,1),(19,1),(20,1)}
       13:{1,3,4,6,7}:{(7,1),(16,1),(21,1),(39,1),(43,1),(63,1)}
       14:{1,3,5,6}:{(7,1),(17,1),(21,1),(22,1),(38,1)}
       15:{2,3,4,6}:{(8,1),(9,1),(24,1),(28,1)}
       16:{1,2,4,6,7}:{(9,1),(10,1),(13,1),(23,1),(25,1),(27,1)}
       17:{1,2,5,6}:{(9,1),(14,1),(24,1),(25,1)}
       18:{1,2,3,5,7}:{(10,1),(11,1),(25,1),(27,1),(50,1),(77,1),(78,1)}
       19:{1,2,4,6}:{(11,1),(12,1),(27,1),(28,1)}
       20:{3,4,5}:{(12,1),(28,1)}
       21:{1,3,5,7}:{(13,1),(14,1),(25,1),(32,1),(50,1)}
       22:{1,4,5,6}:{(14,1),(32,1),(33,1)}
       23:{2,3,4,6,7}:{(15,1),(16,1),(34,1),(39,1),(60,1),(63,1)}
       24:{2,3,5,6}:{(15,1),(17,1),(34,1),(35,1),(38,1)}
       25:{1,2,5,7}:{(16,1),(17,1),(21,1),(34,1)}
       26:{1,2,4,5,6}:{(17,1),(19,1),(22,1),(35,1),(37,1),(38,1),(45,1),(62,1),(66,1)}
       27:{1,2,4,7}:{(18,1),(19,1),(39,1)}
       28:{3,4,6}:{(19,1),(20,1),(38,1),(39,1)}
       29:{1,3,4,5}:{(20,1),(40,1),(42,1)}
       30:{2,3,4,5}:{(20,1),(41,1),(42,1)}
       31:{1,3,5,6,7}:{(21,1),(36,1),(43,1),(63,1),(70,1)}
       32:{1,4,5,7}:{(21,1),(22,1),(43,1),(44,1)}
       33:{3,4,5,6}:{(22,1),(38,1),(44,1),(45,1)}
       34:{2,3,5,7}:{(23,1),(24,1),(25,1),(47,1),(50,1)}
       35:{2,4,5,6}:{(24,1),(47,1),(48,1)}
       36:{1,2,5,6,7}:{(25,1),(31,1),(46,1),(49,1),(79,1),(83,1)}
       37:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(32,1),(47,1),(49,1),(50,1),(59,1),(74,1),(77,1)}
       38:{3,5,6}:{(26,1),(28,1),(50,1)}
       39:{3,4,7}:{(27,1),(28,1),(50,1)}
       40:{1,3,4,6}:{(28,1),(29,1),(51,1),(53,1),(55,1)}
       41:{2,3,4,6}:{(28,1),(30,1),(52,1),(54,1),(55,1)}
       42:{1,2,4,5}:{(29,1),(30,1),(55,1),(56,1)}
       43:{1,4,6,7}:{(31,1),(32,1),(58,1)}
       44:{3,4,5,7}:{(32,1),(33,1),(50,1),(58,1),(59,1)}
       45:{2,4,5,6}:{(33,1),(52,1),(59,1)}
       46:{2,3,5,6,7}:{(34,1),(36,1),(60,1),(63,1),(80,1)}
       47:{2,4,5,7}:{(34,1),(35,1),(60,1),(61,1)}
       48:{3,4,5,6}:{(35,1),(38,1),(61,1),(62,1)}
       49:{1,2,4,6,7}:{(36,1),(37,1),(43,1),(60,1),(63,1),(71,1),(81,1),(82,1)}
       50:{3,5,7}:{(37,1),(38,1),(39,1),(63,1)}
       51:{1,3,5,6}:{(38,1),(40,1),(62,1),(64,1),(66,1)}
       52:{2,3,5,6}:{(38,1),(41,1),(45,1),(65,1),(66,1)}
       53:{1,3,4,7}:{(39,1),(40,1),(64,1),(67,1)}
       54:{2,3,4,7}:{(39,1),(41,1),(65,1),(67,1)}
       55:{1,2,4,6}:{(40,1),(41,1),(42,1),(66,1),(67,1),(68,1)}
       56:{1,2,3,5}:{(42,1),(68,1),(69,1)}
       57:{1,4,5,6,7}:{(43,1),(70,1)}
       58:{3,4,6,7}:{(43,1),(44,1),(63,1),(70,1),(71,1)}
       59:{2,4,5,7}:{(44,1),(45,1),(65,1),(71,1)}
       60:{2,4,6,7}:{(46,1),(47,1),(73,1)}
       61:{3,4,5,7}:{(47,1),(48,1),(50,1),(73,1),(74,1)}
       62:{1,4,5,6}:{(48,1),(51,1),(74,1)}
       63:{3,6,7}:{(49,1),(50,1)}
       64:{1,3,5,7}:{(50,1),(51,1),(53,1),(74,1),(75,1),(77,1)}
       65:{2,3,5,7}:{(50,1),(52,1),(54,1),(59,1),(76,1),(77,1)}
       66:{1,2,5,6}:{(51,1),(52,1),(55,1),(77,1)}
       67:{1,2,4,7}:{(53,1),(54,1),(55,1),(77,1),(78,1)}
       68:{1,2,3,6}:{(55,1),(56,1),(78,1)}
       69:{1,2,3,4}:{(56,1)}
       70:{3,5,6,7}:{(57,1),(58,1),(79,1)}
       71:{2,4,6,7}:{(58,1),(59,1),(76,1),(79,1)}
       72:{2,4,5,6,7}:{(60,1),(80,1)}
       73:{3,4,6,7}:{(60,1),(61,1),(63,1),(80,1),(81,1)}
       74:{1,4,5,7}:{(61,1),(62,1),(64,1),(81,1)}
       75:{1,3,6,7}:{(63,1),(64,1),(81,1),(82,1)}
       76:{2,3,6,7}:{(63,1),(65,1),(71,1),(82,1)}
       77:{1,2,5,7}:{(64,1),(65,1),(66,1),(67,1),(82,1)}
       78:{1,2,3,7}:{(67,1),(68,1)}
       79:{2,5,6,7}:{(70,1),(71,1)}
       80:{3,5,6,7}:{(72,1),(73,1),(83,1)}
       81:{1,4,6,7}:{(73,1),(74,1),(75,1),(83,1)}
       82:{1,2,6,7}:{(75,1),(76,1),(77,1)}
       83:{1,5,6,7}:{(80,1),(81,1)}

1843 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(7,1),(18,1),(21,1),(22,1),(46,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(7,1)}
         3:{1,3,4,5}:{(6,1),(8,1),(19,1)}
         4:{1,2,3,4,7}:{(1,1),(11,1),(14,1),(37,1),(63,1)}
         5:{1,2,3,5}:{(1,1),(10,1)}
         6:{1,2,4,5}:{(2,1),(3,1),(9,1),(13,1)}
         7:{1,2,3,6}:{(2,1),(13,1),(14,1)}
         8:{1,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(34,1)}
         9:{2,3,4,5}:{(6,1),(17,1),(19,1)}
        10:{1,2,4,5}:{(5,1),(19,1),(21,1)}
        11:{1,2,3,5,7}:{(4,1),(5,1),(20,1),(22,1)}
        12:{1,2,3,5,6}:{(5,1),(7,1),(21,1),(22,1),(23,1),(24,1),(46,1),(49,1),(53,1),(79,1)}
        13:{1,2,4,6}:{(6,1),(7,1),(8,1),(17,1),(24,1),(25,1)}
        14:{1,2,3,7}:{(7,1),(25,1)}
        15:{1,3,5,6}:{(8,1),(24,1),(26,1),(27,1),(49,1)}
        16:{1,3,4,7}:{(8,1),(25,1),(27,1),(51,1)}
        17:{2,3,4,6}:{(9,1),(13,1),(28,1),(29,1),(34,1)}
        18:{1,2,3,4}:{(30,1)}
        19:{3,4,5}:{(10,1),(34,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(33,1),(36,1),(37,1),(72,1)}
        21:{1,2,4,6}:{(10,1),(12,1),(34,1),(37,1)}
        22:{1,2,3,6}:{(11,1),(36,1)}
        23:{1,2,3,5,7}:{(12,1),(14,1),(37,1),(38,1),(39,1),(63,1),(68,1),(72,1),(92,1)}
        24:{1,2,5,6}:{(13,1),(15,1),(28,1),(39,1)}
        25:{1,2,4,7}:{(13,1),(14,1),(16,1),(29,1),(39,1)}
        26:{1,4,5,6}:{(15,1),(40,1),(41,1)}
        27:{1,3,5,7}:{(15,1),(16,1),(39,1),(41,1),(42,1),(68,1)}
        28:{2,3,5,6}:{(17,1),(24,1),(43,1),(44,1),(49,1)}
        29:{2,3,4,7}:{(17,1),(25,1),(44,1),(51,1)}
        30:{1,2,3,5}:{(18,1),(45,1),(46,1)}
        31:{1,3,4,5}:{(19,1),(45,1),(47,1)}
        32:{2,3,4,5}:{(19,1),(45,1),(48,1)}
        33:{3,4,5,7}:{(19,1),(20,1),(50,1),(51,1),(85,1)}
        34:{3,4,6}:{(19,1),(21,1),(49,1),(51,1)}
        35:{1,2,4,5,6}:{(21,1),(24,1),(26,1),(43,1),(49,1),(52,1),(53,1),(56,1),(76,1),(79,1),(84,1)}
        36:{1,2,4,6}:{(20,1),(22,1),(50,1),(53,1)}
        37:{1,2,4,7}:{(21,1),(23,1),(51,1)}
        38:{1,2,3,6,7}:{(22,1),(23,1),(54,1),(55,1),(83,1),(101,1)}
        39:{1,2,5,7}:{(24,1),(25,1),(27,1),(44,1),(55,1)}
        40:{3,4,5,6}:{(26,1),(49,1),(56,1),(57,1),(84,1)}
        41:{1,4,5,7}:{(26,1),(27,1),(57,1),(58,1)}
        42:{1,3,6,7}:{(27,1),(55,1),(58,1),(83,1)}
        43:{2,4,5,6}:{(28,1),(59,1),(60,1)}
        44:{2,3,5,7}:{(28,1),(29,1),(39,1),(60,1),(61,1),(68,1)}
        45:{1,2,4,5}:{(30,1),(31,1),(32,1),(62,1)}
        46:{1,2,3,6}:{(30,1),(62,1),(63,1)}
        47:{1,3,4,6}:{(31,1),(34,1),(62,1),(64,1),(65,1)}
        48:{2,3,4,6}:{(32,1),(34,1),(62,1),(66,1),(67,1)}
        49:{3,5,6}:{(34,1),(35,1),(68,1)}
        50:{3,4,6}:{(33,1),(36,1),(69,1)}
        51:{3,4,7}:{(34,1),(37,1),(68,1)}
        52:{1,2,4,5,7}:{(35,1),(37,1),(39,1),(41,1),(60,1),(68,1),(71,1),(72,1),(73,1),(89,1),(92,1),(96,1)}
        53:{1,2,5,6}:{(36,1),(69,1),(72,1)}
        54:{1,2,4,6,7}:{(36,1),(37,1),(38,1),(70,1),(72,1)}
        55:{1,2,6,7}:{(39,1),(42,1),(61,1)}
        56:{2,4,5,6}:{(40,1),(66,1),(73,1)}
        57:{3,4,5,7}:{(40,1),(41,1),(68,1),(73,1),(74,1),(96,1)}
        58:{1,4,6,7}:{(41,1),(42,1),(74,1),(75,1)}
        59:{3,4,5,6}:{(43,1),(49,1),(76,1),(77,1),(84,1)}
        60:{2,4,5,7}:{(43,1),(44,1),(77,1),(78,1)}
        61:{2,3,6,7}:{(44,1),(55,1),(78,1),(83,1)}
        62:{1,2,4,6}:{(45,1),(46,1),(47,1),(48,1),(79,1),(80,1)}
        63:{1,2,3,7}:{(46,1),(80,1)}
        64:{1,3,5,6}:{(47,1),(49,1),(76,1),(79,1),(81,1)}
        65:{1,3,4,7}:{(47,1),(51,1),(80,1),(81,1)}
        66:{2,3,5,6}:{(48,1),(49,1),(56,1),(79,1),(82,1)}
        67:{2,3,4,7}:{(48,1),(51,1),(80,1),(82,1)}
        68:{3,5,7}:{(49,1),(51,1),(52,1),(83,1)}
        69:{3,5,6}:{(50,1),(53,1),(84,1),(85,1)}
        70:{3,4,6,7}:{(50,1),(51,1),(54,1),(83,1),(85,1),(102,1)}
        71:{1,2,4,6,7}:{(52,1),(55,1),(58,1),(78,1),(83,1),(86,1),(87,1),(99,1),(101,1),(102,1)}
        72:{1,2,5,7}:{(53,1),(54,1),(85,1)}
        73:{2,4,5,7}:{(56,1),(57,1),(82,1),(87,1)}
        74:{3,4,6,7}:{(57,1),(58,1),(83,1),(87,1),(88,1),(102,1)}
        75:{1,5,6,7}:{(58,1),(88,1)}
        76:{1,4,5,6}:{(59,1),(64,1),(89,1)}
        77:{3,4,5,7}:{(59,1),(60,1),(68,1),(89,1),(90,1),(96,1)}
        78:{2,4,6,7}:{(60,1),(61,1),(90,1),(91,1)}
        79:{1,2,5,6}:{(62,1),(64,1),(66,1),(92,1)}
        80:{1,2,4,7}:{(62,1),(63,1),(65,1),(67,1),(92,1)}
        81:{1,3,5,7}:{(64,1),(65,1),(68,1),(89,1),(92,1),(93,1)}
        82:{2,3,5,7}:{(66,1),(67,1),(68,1),(73,1),(92,1),(94,1)}
        83:{3,6,7}:{(68,1),(71,1)}
        84:{4,5,6}:{(69,1),(96,1)}
        85:{3,5,7}:{(69,1),(70,1),(72,1),(96,1)}
        86:{1,2,5,6,7}:{(71,1),(72,1),(75,1),(91,1),(95,1),(97,1),(103,1)}
        87:{2,4,6,7}:{(73,1),(74,1),(94,1),(97,1)}
        88:{3,5,6,7}:{(74,1),(75,1),(97,1),(98,1)}
        89:{1,4,5,7}:{(76,1),(77,1),(81,1),(99,1)}
        90:{3,4,6,7}:{(77,1),(78,1),(83,1),(99,1),(100,1),(102,1)}
        91:{2,5,6,7}:{(78,1),(100,1)}
        92:{1,2,5,7}:{(79,1),(80,1),(81,1),(82,1),(101,1)}
        93:{1,3,6,7}:{(81,1),(83,1),(99,1),(101,1)}
        94:{2,3,6,7}:{(82,1),(83,1),(87,1),(101,1)}
        95:{3,5,6,7}:{(83,1),(85,1),(86,1),(102,1)}
        96:{4,5,7}:{(84,1),(85,1),(102,1)}
        97:{2,5,6,7}:{(87,1),(88,1)}
        98:{4,5,6,7}:{(88,1),(102,1)}
        99:{1,4,6,7}:{(89,1),(90,1),(93,1),(103,1)}
       100:{3,5,6,7}:{(90,1),(91,1),(103,1),(104,1)}
       101:{1,2,6,7}:{(92,1),(93,1),(94,1)}
       102:{4,6,7}:{(95,1),(96,1)}
       103:{1,5,6,7}:{(99,1),(100,1)}
       104:{4,5,6,7}:{(100,1),(102,1)}

1844 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(65,1),(72,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(53,1),(60,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(58,1),(61,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(48,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(45,1),(49,1)}
         5:{1,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(30,1),(54,1),(58,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(36,1),(76,1)}
         8:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(36,1),(53,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(37,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{1,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(42,1),(45,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(24,1),(87,1)}
        15:{2,4,5,6,7}:{(7,1),(8,1),(64,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(45,1)}
        17:{1,3,6,7}:{(9,1),(10,1)}
        18:{1,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{1,3,4,5}:{(11,1),(23,1)}
        20:{2,3,4,6}:{(13,1),(29,1),(30,1),(54,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(33,1),(54,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(29,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(30,1)}
        24:{1,3,5,6,7}:{(14,1),(31,1),(35,1),(36,1),(80,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(35,1),(36,1),(37,1),(57,1),(59,1)}
        26:{1,3,5,6,7}:{(16,1),(17,1),(36,1),(37,1),(38,1)}
        27:{1,3,4,6,7}:{(17,1),(18,1),(33,1),(37,1),(38,1),(39,1),(56,1)}
        28:{1,3,4,5,7}:{(18,1),(19,1),(34,1),(38,1),(39,1),(76,1)}
        29:{2,3,4,7}:{(20,1),(22,1),(42,1)}
        30:{2,3,5}:{(20,1),(23,1)}
        31:{1,3,4,6,7}:{(24,1),(40,1),(43,1),(48,1)}
        32:{1,2,3,5,6,7}:{(21,1),(26,1),(44,1),(45,1),(47,1),(65,1),(66,1),(69,1),(89,1),(91,1)}
        33:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(41,1),(45,1),(46,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(42,1),(45,1),(46,1),(64,1)}
        35:{1,2,5,6,7}:{(24,1),(43,1),(47,1),(89,1)}
        36:{3,5,6,7}:{(25,1),(48,1),(69,1)}
        37:{1,4,6,7}:{(26,1),(48,1),(49,1)}
        38:{1,3,5,7}:{(27,1),(45,1),(49,1),(50,1),(69,1)}
        39:{1,3,4,6}:{(28,1),(46,1),(50,1),(88,1)}
        40:{1,3,4,5,7}:{(31,1),(51,1),(52,1),(60,1),(80,1),(94,1)}
        41:{2,3,4,6,7}:{(29,1),(33,1),(53,1),(54,1),(56,1),(77,1)}
        42:{2,3,5,7}:{(29,1),(30,1),(34,1),(54,1)}
        43:{1,2,4,6,7}:{(31,1),(35,1),(52,1),(55,1),(59,1)}
        44:{1,2,4,6,7}:{(32,1),(37,1),(56,1),(57,1),(59,1),(77,1),(97,1)}
        45:{1,2,5,7}:{(33,1),(38,1),(53,1),(58,1)}
        46:{1,2,4,6}:{(34,1),(39,1),(54,1),(58,1),(77,1)}
        47:{2,3,5,6,7}:{(35,1),(36,1),(55,1),(59,1),(79,1)}
        48:{3,4,6,7}:{(36,1),(37,1),(59,1),(60,1)}
        49:{1,4,5,7}:{(37,1),(38,1),(60,1),(61,1)}
        50:{1,3,5,6}:{(38,1),(39,1),(58,1),(61,1),(81,1)}
        51:{1,3,4,5,6}:{(40,1),(62,1),(72,1),(91,1),(99,1)}
        52:{1,2,4,5,7}:{(40,1),(43,1),(62,1),(63,1),(71,1),(85,1),(89,1)}
        53:{2,3,5,7}:{(41,1),(45,1),(64,1),(65,1),(69,1)}
        54:{2,3,6}:{(42,1),(46,1)}
        55:{2,3,6,7}:{(43,1),(63,1)}
        56:{3,4,6,7}:{(44,1),(69,1),(88,1)}
        57:{1,2,4,5,7}:{(44,1),(45,1),(49,1),(64,1),(69,1),(70,1),(71,1),(87,1),(89,1)}
        58:{1,2,5,6}:{(45,1),(46,1),(50,1),(65,1)}
        59:{2,4,6,7}:{(47,1),(48,1),(71,1)}
        60:{3,4,5,7}:{(48,1),(49,1),(69,1),(71,1),(72,1)}
        61:{1,4,5,6}:{(49,1),(50,1),(72,1)}
        62:{1,2,4,5,6}:{(51,1),(52,1),(73,1),(82,1),(92,1),(98,1)}
        63:{2,3,5,7}:{(52,1),(55,1),(73,1),(75,1)}
        64:{2,4,5,7}:{(53,1),(76,1),(77,1)}
        65:{2,3,5,6}:{(53,1),(54,1),(58,1),(77,1),(81,1)}
        66:{1,2,3,6,7}:{(55,1),(74,1),(78,1),(104,1)}
        67:{2,3,4,6,7}:{(55,1),(56,1),(59,1),(75,1),(78,1),(79,1),(96,1)}
        68:{1,3,4,6,7}:{(56,1),(78,1),(80,1),(94,1),(97,1),(104,1)}
        69:{3,5,7}:{(56,1),(57,1),(81,1)}
        70:{1,2,4,5,6}:{(57,1),(58,1),(61,1),(77,1),(81,1),(82,1),(97,1),(98,1)}
        71:{2,4,5,7}:{(59,1),(60,1),(79,1),(82,1)}
        72:{3,4,5,6}:{(60,1),(61,1),(81,1),(82,1)}
        73:{2,3,5,6}:{(62,1),(63,1),(84,1)}
        74:{1,2,3,5,7}:{(63,1),(66,1),(83,1),(85,1),(89,1),(101,1)}
        75:{2,3,4,7}:{(63,1),(84,1),(85,1)}
        76:{3,4,5,7}:{(64,1),(69,1),(87,1),(88,1)}
        77:{2,4,6}:{(64,1),(65,1),(88,1)}
        78:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(85,1),(89,1),(102,1)}
        79:{2,3,5,7}:{(67,1),(69,1),(71,1),(89,1),(90,1)}
        80:{1,3,5,7}:{(68,1),(69,1),(87,1),(89,1),(91,1)}
        81:{3,5,6}:{(69,1),(70,1),(88,1)}
        82:{2,4,5,6}:{(71,1),(72,1),(90,1)}
        83:{1,2,3,5,6}:{(73,1),(74,1),(92,1),(98,1),(103,1),(104,1)}
        84:{2,3,4,6}:{(73,1),(75,1),(92,1),(93,1)}
        85:{1,2,4,7}:{(74,1),(75,1),(92,1),(94,1)}
        86:{2,3,4,5,7}:{(75,1),(76,1),(79,1),(93,1),(95,1),(96,1)}
        87:{1,4,5,7}:{(76,1),(80,1),(97,1)}
        88:{3,4,6}:{(76,1),(77,1),(81,1),(97,1)}
        89:{1,2,5,7}:{(78,1),(79,1),(80,1),(98,1)}
        90:{2,3,5,6}:{(79,1),(81,1),(82,1),(96,1),(98,1)}
        91:{1,3,5,6}:{(80,1),(81,1),(97,1),(98,1),(104,1)}
        92:{1,2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        93:{2,3,4,5}:{(84,1),(100,1)}
        94:{1,3,4,7}:{(85,1),(99,1),(101,1)}
        95:{1,2,4,5,7}:{(85,1),(86,1),(87,1),(89,1),(100,1),(101,1),(102,1)}
        96:{2,3,4,6}:{(86,1),(88,1),(90,1),(102,1)}
        97:{1,4,6}:{(87,1),(88,1),(91,1)}
        98:{1,2,5,6}:{(89,1),(90,1),(91,1),(102,1)}
        99:{1,3,4,6}:{(92,1),(94,1),(103,1),(104,1)}
       100:{1,2,4,5}:{(92,1),(93,1),(103,1)}
       101:{1,3,5,7}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       103:{1,3,5}:{(99,1),(100,1)}
       104:{1,3,6}:{(101,1),(102,1)}

1845 :   0:{1,2,3,5,6,7}:{(2,1),(12,1),(18,1),(46,1),(47,1),(48,1),(49,1),(56,1),(58,1),(102,1),(103,1),(107,1),(138,1),(147,1),(165,1)}
         1:{1,2,4,5,6,7}:{(3,1),(11,1),(16,1),(17,1),(18,1),(55,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(69,1),(70,1),(84,1),(128,1),(131,1),(156,1),(172,1)}
         3:{3,5,6,7}:{(1,1),(6,1),(26,1),(82,1)}
         4:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(43,1),(44,1),(48,1),(149,1)}
         5:{3,4,6,7}:{(2,1),(12,1),(42,1),(56,1),(109,1),(147,1),(148,1),(167,1)}
         6:{3,4,6,7}:{(3,1),(15,1),(16,1),(17,1),(42,1),(56,1),(109,1)}
         7:{1,3,5,6,7}:{(3,1),(16,1),(18,1),(46,1),(51,1),(56,1),(58,1)}
         8:{2,3,5,6,7}:{(3,1),(17,1),(18,1),(19,1),(47,1),(56,1),(107,1)}
         9:{2,3,4,6,7}:{(17,1),(19,1),(20,1),(21,1),(56,1),(109,1)}
        10:{2,3,4,5,7}:{(19,1),(21,1),(22,1),(44,1),(93,1),(101,1),(109,1),(140,1),(151,1)}
        11:{1,2,4,5,6}:{(4,1),(26,1),(69,1),(70,1),(74,1)}
        12:{3,5,7}:{(4,1),(5,1),(26,1),(163,1)}
        13:{1,3,4,6,7}:{(5,1),(27,1),(29,1),(37,1),(69,1),(84,1),(85,1),(126,1),(127,1),(160,1),(161,1),(172,1)}
        14:{2,3,4,6,7}:{(5,1),(28,1),(29,1),(70,1),(80,1),(118,1),(119,1),(126,1),(127,1),(131,1),(156,1),(162,1)}
        15:{3,4,5,7}:{(6,1),(31,1),(32,1),(33,1),(82,1)}
        16:{1,4,6,7}:{(6,1),(7,1),(32,1),(69,1),(84,1)}
        17:{2,4,6,7}:{(6,1),(8,1),(33,1),(70,1),(131,1)}
        18:{1,2,5,6,7}:{(7,1),(8,1),(34,1),(36,1),(74,1),(79,1)}
        19:{2,3,5,7}:{(9,1),(33,1),(35,1),(36,1),(82,1)}
        20:{1,2,4,6,7}:{(9,1),(36,1),(37,1),(38,1),(84,1)}
        21:{2,3,4,6}:{(10,1),(35,1),(38,1),(70,1),(126,1),(132,1)}
        22:{1,2,4,5,7}:{(10,1),(36,1),(38,1),(39,1),(77,1),(84,1),(129,1),(133,1)}
        23:{1,3,4,5,7}:{(40,1),(41,1),(43,1),(60,1),(89,1),(101,1),(111,1),(167,1),(168,1)}
        24:{3,4,5,7}:{(12,1),(42,1),(43,1),(44,1),(101,1),(109,1),(151,1),(167,1),(168,1)}
        25:{1,2,4,5,6,7}:{(11,1),(45,1),(98,1),(99,1),(102,1),(136,1)}
        26:{3,5,6}:{(11,1),(12,1),(42,1)}
        27:{1,3,5,7}:{(12,1),(13,1),(43,1),(46,1),(48,1),(101,1),(111,1),(170,1)}
        28:{2,3,5,7}:{(12,1),(14,1),(44,1),(47,1),(48,1),(101,1),(140,1),(171,1)}
        29:{1,2,4,6,7}:{(13,1),(14,1),(48,1),(49,1),(100,1),(104,1),(105,1),(169,1)}
        30:{1,3,4,6,7}:{(16,1),(51,1),(52,1),(56,1),(96,1),(109,1)}
        31:{3,4,5,6}:{(15,1),(42,1),(53,1),(54,1),(108,1),(168,1)}
        32:{1,4,5,7}:{(15,1),(16,1),(51,1),(53,1)}
        33:{2,4,5,7}:{(15,1),(17,1),(19,1),(54,1)}
        34:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(55,1),(56,1),(100,1)}
        35:{2,3,5,6}:{(19,1),(21,1),(54,1),(57,1),(108,1),(140,1)}
        36:{1,2,5,7}:{(19,1),(20,1),(57,1),(58,1)}
        37:{1,3,6,7}:{(20,1),(56,1),(58,1),(59,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(57,1),(59,1),(110,1)}
        39:{1,3,5,7}:{(22,1),(59,1),(60,1),(101,1),(111,1)}
        40:{1,3,4,6}:{(23,1),(62,1),(64,1),(69,1),(126,1),(155,1)}
        41:{1,2,4,5,7}:{(23,1),(64,1),(65,1),(77,1),(116,1),(129,1),(156,1),(157,1)}
        42:{3,4,6}:{(24,1),(26,1),(69,1),(70,1),(126,1)}
        43:{1,4,5,7}:{(24,1),(27,1),(69,1),(84,1),(133,1),(172,1),(173,1)}
        44:{2,4,5,7}:{(24,1),(28,1),(70,1),(131,1),(156,1),(157,1),(164,1)}
        45:{3,5,6,7}:{(25,1),(26,1),(68,1),(154,1)}
        46:{1,3,5,6}:{(26,1),(27,1),(69,1),(74,1),(126,1)}
        47:{2,3,5,6}:{(26,1),(28,1),(70,1),(74,1),(126,1)}
        48:{1,2,5,7}:{(27,1),(28,1),(29,1),(74,1),(129,1),(174,1)}
        49:{1,2,3,6,7}:{(29,1),(37,1),(75,1),(76,1),(80,1),(118,1),(126,1),(158,1),(160,1)}
        50:{1,2,3,5,7}:{(39,1),(65,1),(76,1),(77,1),(129,1)}
        51:{1,3,5,7}:{(30,1),(32,1),(78,1),(79,1),(82,1)}
        52:{1,2,4,6,7}:{(30,1),(79,1),(80,1),(123,1),(131,1)}
        53:{1,4,5,6}:{(31,1),(32,1),(69,1),(78,1),(173,1)}
        54:{2,4,5,6}:{(31,1),(33,1),(35,1),(70,1),(157,1)}
        55:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(36,1),(79,1),(81,1),(82,1),(84,1),(131,1)}
        56:{3,6,7}:{(34,1),(82,1),(126,1)}
        57:{1,2,5,6}:{(35,1),(36,1),(38,1),(83,1),(129,1)}
        58:{1,3,5,7}:{(36,1),(37,1),(82,1),(83,1),(84,1)}
        59:{1,3,6}:{(38,1),(39,1),(126,1)}
        60:{1,3,4,7}:{(39,1),(77,1),(84,1),(85,1),(127,1)}
        61:{3,4,5,6}:{(42,1),(86,1),(87,1),(88,1),(137,1),(151,1)}
        62:{1,3,5,6}:{(40,1),(87,1),(89,1),(90,1),(111,1),(137,1)}
        63:{1,3,4,6,7}:{(40,1),(89,1),(91,1),(98,1),(147,1),(167,1)}
        64:{1,2,4,6}:{(40,1),(41,1),(90,1),(92,1),(139,1)}
        65:{2,3,5,7}:{(41,1),(92,1),(93,1),(101,1),(140,1)}
        66:{2,3,4,5,7}:{(44,1),(94,1),(95,1),(101,1),(134,1),(146,1),(167,1),(168,1),(171,1)}
        67:{1,3,4,5,7}:{(43,1),(51,1),(96,1),(97,1),(101,1),(109,1),(144,1),(151,1),(170,1)}
        68:{3,4,6,7}:{(42,1),(45,1),(86,1),(98,1),(99,1),(147,1),(167,1)}
        69:{1,4,6}:{(42,1),(43,1),(46,1)}
        70:{2,4,6}:{(42,1),(44,1),(47,1)}
        71:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(100,1),(101,1),(104,1),(149,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(89,1),(98,1),(102,1),(147,1),(165,1)}
        73:{2,3,5,6,7}:{(45,1),(47,1),(99,1),(102,1),(134,1),(138,1),(147,1)}
        74:{1,2,5,6}:{(46,1),(47,1),(48,1),(100,1)}
        75:{1,2,3,5,7}:{(48,1),(49,1),(58,1),(101,1),(103,1),(104,1),(107,1),(138,1),(165,1)}
        76:{1,2,3,6}:{(50,1),(59,1),(92,1),(105,1)}
        77:{1,2,4,7}:{(50,1),(60,1),(93,1),(105,1)}
        78:{1,3,5,6}:{(51,1),(53,1),(96,1),(106,1),(108,1),(170,1)}
        79:{1,2,5,7}:{(51,1),(52,1),(106,1),(107,1)}
        80:{2,3,6,7}:{(52,1),(56,1),(107,1),(145,1)}
        81:{1,2,4,5,6}:{(53,1),(54,1),(55,1),(57,1),(100,1),(106,1),(108,1),(110,1),(149,1),(150,1)}
        82:{3,5,7}:{(55,1),(56,1),(108,1),(109,1)}
        83:{1,3,5,6}:{(57,1),(58,1),(59,1),(108,1),(110,1),(111,1)}
        84:{1,4,7}:{(58,1),(109,1),(110,1)}
        85:{1,3,4,6}:{(59,1),(60,1),(105,1),(110,1),(111,1),(148,1)}
        86:{3,4,5,7}:{(61,1),(68,1),(113,1),(114,1),(154,1)}
        87:{1,4,5,6}:{(61,1),(62,1),(69,1),(113,1),(133,1)}
        88:{2,4,5,6}:{(61,1),(70,1),(112,1),(114,1),(164,1)}
        89:{1,3,5,7}:{(62,1),(63,1),(113,1),(116,1),(154,1)}
        90:{1,2,5,6}:{(62,1),(64,1),(116,1),(117,1),(129,1)}
        91:{1,2,4,6,7}:{(63,1),(64,1),(116,1),(118,1),(156,1)}
        92:{2,3,6}:{(64,1),(65,1),(126,1)}
        93:{2,3,4,7}:{(65,1),(77,1),(119,1),(127,1),(156,1)}
        94:{2,3,4,6}:{(66,1),(70,1),(112,1),(121,1),(126,1),(155,1)}
        95:{1,2,4,5,7}:{(66,1),(121,1),(122,1),(152,1),(159,1),(172,1),(173,1),(174,1)}
        96:{1,3,4,6}:{(67,1),(69,1),(78,1),(123,1),(126,1),(132,1)}
        97:{1,2,4,5,7}:{(67,1),(79,1),(123,1),(124,1),(131,1),(159,1),(164,1),(174,1)}
        98:{1,4,6,7}:{(68,1),(69,1),(72,1),(113,1),(172,1)}
        99:{2,4,6,7}:{(68,1),(70,1),(73,1),(114,1),(156,1)}
       100:{1,2,4,6}:{(69,1),(70,1),(71,1),(74,1),(126,1)}
       101:{3,5,7}:{(71,1),(126,1),(127,1),(163,1)}
       102:{1,2,5,6,7}:{(72,1),(73,1),(74,1),(116,1),(125,1),(152,1)}
       103:{1,2,3,5,6}:{(74,1),(75,1),(76,1),(83,1),(117,1),(126,1),(128,1),(129,1),(130,1),(153,1),(158,1),(163,1),(174,1)}
       104:{1,2,4,7}:{(75,1),(84,1),(127,1),(128,1),(131,1),(156,1),(172,1)}
       105:{1,2,4,6}:{(76,1),(77,1),(85,1),(119,1),(129,1)}
       106:{1,2,5,6}:{(78,1),(79,1),(123,1),(130,1),(174,1)}
       107:{2,3,5,7}:{(79,1),(80,1),(82,1),(130,1),(131,1)}
       108:{3,5,6}:{(81,1),(82,1),(126,1),(132,1),(163,1)}
       109:{3,4,7}:{(82,1),(84,1),(131,1),(132,1)}
       110:{1,4,6}:{(83,1),(84,1),(132,1),(133,1)}
       111:{1,3,5}:{(85,1),(129,1),(133,1),(163,1)}
       112:{2,3,5,6}:{(88,1),(94,1),(134,1),(135,1),(137,1),(171,1)}
       113:{1,4,5,7}:{(86,1),(87,1),(89,1),(98,1)}
       114:{2,4,5,7}:{(86,1),(88,1),(99,1),(134,1)}
       115:{1,2,4,5,6}:{(87,1),(88,1),(90,1),(100,1),(135,1),(136,1),(137,1),(139,1),(149,1),(166,1)}
       116:{1,2,5,7}:{(89,1),(90,1),(91,1),(138,1)}
       117:{2,3,5,6}:{(90,1),(92,1),(137,1),(138,1),(139,1),(140,1)}
       118:{2,3,6,7}:{(91,1),(92,1),(138,1),(147,1)}
       119:{2,3,4,6}:{(92,1),(93,1),(105,1),(139,1),(140,1),(148,1)}
       120:{2,3,4,6,7}:{(94,1),(99,1),(134,1),(142,1),(147,1),(167,1)}
       121:{1,2,4,6}:{(94,1),(95,1),(135,1),(143,1),(166,1)}
       122:{1,3,5,7}:{(95,1),(101,1),(143,1),(144,1),(170,1)}
       123:{1,2,4,6}:{(96,1),(97,1),(106,1),(145,1),(150,1)}
       124:{2,3,5,7}:{(97,1),(101,1),(145,1),(146,1),(171,1)}
       125:{1,2,4,6,7}:{(98,1),(99,1),(100,1),(102,1),(136,1),(147,1)}
       126:{3,6}:{(100,1),(101,1)}
       127:{3,4,7}:{(101,1),(104,1),(148,1)}
       128:{1,2,4,6}:{(103,1),(104,1),(110,1),(139,1),(148,1),(149,1),(150,1),(166,1)}
       129:{1,2,5}:{(105,1),(111,1),(140,1)}
       130:{2,3,5,6}:{(106,1),(107,1),(108,1),(145,1),(150,1),(171,1)}
       131:{2,4,7}:{(107,1),(109,1),(150,1)}
       132:{3,4,6}:{(108,1),(109,1),(110,1),(150,1),(151,1)}
       133:{1,4,5}:{(110,1),(111,1),(151,1)}
       134:{2,3,5,7}:{(112,1),(114,1),(120,1),(152,1),(154,1)}
       135:{1,2,5,6}:{(112,1),(121,1),(152,1),(153,1),(174,1)}
       136:{1,2,4,5,7}:{(113,1),(114,1),(115,1),(116,1),(125,1),(152,1),(154,1),(156,1),(172,1)}
       137:{3,5,6}:{(115,1),(126,1),(154,1),(155,1),(163,1)}
       138:{2,3,5,7}:{(116,1),(117,1),(118,1),(154,1),(156,1)}
       139:{2,4,6}:{(117,1),(155,1),(156,1),(157,1)}
       140:{2,3,5}:{(119,1),(129,1),(157,1),(163,1)}
       141:{1,2,3,5,7}:{(122,1),(124,1),(158,1),(159,1),(174,1)}
       142:{1,2,4,6,7}:{(120,1),(121,1),(152,1),(160,1),(172,1)}
       143:{1,3,6}:{(121,1),(122,1),(126,1)}
       144:{1,3,4,7}:{(122,1),(127,1),(159,1),(161,1),(172,1)}
       145:{2,3,6}:{(123,1),(124,1),(126,1)}
       146:{2,3,4,7}:{(124,1),(127,1),(131,1),(159,1),(162,1)}
       147:{3,6,7}:{(125,1),(126,1),(154,1)}
       148:{3,4,6}:{(126,1),(127,1),(128,1),(163,1)}
       149:{1,2,4,5}:{(128,1),(129,1),(133,1),(157,1),(163,1),(164,1),(173,1),(174,1)}
       150:{2,4,6}:{(130,1),(131,1),(132,1),(164,1)}
       151:{3,4,5}:{(132,1),(133,1),(163,1),(164,1)}
       152:{1,2,5,7}:{(134,1),(135,1),(142,1),(165,1)}
       153:{1,3,5,6}:{(135,1),(137,1),(143,1),(165,1),(166,1),(170,1)}
       154:{3,5,7}:{(136,1),(137,1),(147,1),(167,1)}
       155:{3,4,6}:{(137,1),(139,1),(166,1),(167,1),(168,1)}
       156:{2,4,7}:{(138,1),(139,1),(167,1)}
       157:{2,4,5}:{(139,1),(140,1),(168,1)}
       158:{1,2,3,6}:{(141,1),(143,1),(145,1),(169,1)}
       159:{1,2,4,7}:{(141,1),(144,1),(146,1),(169,1)}
       160:{1,3,6,7}:{(142,1),(143,1),(147,1),(165,1)}
       161:{1,3,4,6}:{(143,1),(144,1),(148,1),(166,1),(169,1),(170,1)}
       162:{2,3,4,6}:{(145,1),(146,1),(148,1),(150,1),(169,1),(171,1)}
       163:{3,5}:{(148,1),(149,1)}
       164:{2,4,5}:{(150,1),(151,1),(171,1)}
       165:{1,3,5,7}:{(152,1),(153,1),(154,1),(160,1),(172,1)}
       166:{1,4,6}:{(153,1),(155,1),(172,1),(173,1)}
       167:{3,4,7}:{(154,1),(155,1),(156,1),(172,1)}
       168:{3,4,5}:{(155,1),(157,1),(163,1),(173,1)}
       169:{1,2,4,6}:{(158,1),(159,1),(161,1),(162,1),(174,1)}
       170:{1,3,5}:{(161,1),(163,1),(173,1),(174,1)}
       171:{2,3,5}:{(162,1),(163,1),(164,1),(174,1)}
       172:{1,4,7}:{(165,1),(166,1),(167,1)}
       173:{1,4,5}:{(166,1),(168,1),(170,1)}
       174:{1,2,5}:{(169,1),(170,1),(171,1)}

1846 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(57,1),(63,1)}
         1:{1,2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(49,1),(52,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(28,1),(48,1),(53,1)}
         3:{1,3,5,6}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(40,1),(43,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(44,1)}
         6:{1,2,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(47,1),(49,1)}
         7:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,2,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(34,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(35,1),(48,1)}
        11:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
        12:{1,2,3,5,7}:{(6,1),(8,1),(20,1),(21,1),(37,1),(40,1)}
        13:{1,3,4,5}:{(7,1),(19,1)}
        14:{1,3,4,7}:{(7,1),(8,1),(20,1)}
        15:{1,3,6,7}:{(8,1),(9,1)}
        16:{1,2,5,6,7}:{(9,1),(10,1),(24,1),(40,1)}
        17:{2,4,5,6,7}:{(10,1),(26,1),(58,1)}
        18:{2,3,4,6}:{(11,1),(27,1),(28,1),(47,1)}
        19:{1,2,4,5}:{(11,1),(13,1),(27,1)}
        20:{1,2,4,7}:{(11,1),(12,1),(14,1),(28,1)}
        21:{1,2,3,6,7}:{(12,1),(15,1),(30,1),(47,1)}
        22:{1,3,4,5,7}:{(13,1),(14,1),(29,1),(32,1),(33,1),(68,1)}
        23:{1,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1),(51,1)}
        24:{1,3,5,6,7}:{(15,1),(16,1),(33,1),(34,1),(35,1)}
        25:{1,2,4,5,6,7}:{(16,1),(17,1),(34,1),(35,1),(36,1),(50,1),(55,1),(56,1)}
        26:{3,4,5,6,7}:{(17,1),(35,1),(36,1),(68,1)}
        27:{2,3,5}:{(18,1),(19,1)}
        28:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(39,1),(40,1),(58,1)}
        30:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(39,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(24,1),(40,1),(41,1),(46,1),(57,1),(60,1),(80,1),(82,1),(83,1)}
        32:{1,3,4,6}:{(22,1),(39,1),(42,1),(77,1)}
        33:{1,3,5,7}:{(23,1),(40,1),(42,1),(43,1),(60,1)}
        34:{1,4,6,7}:{(24,1),(43,1),(44,1)}
        35:{3,5,6,7}:{(25,1),(44,1),(60,1)}
        36:{1,4,5,6,7}:{(26,1),(45,1),(78,1)}
        37:{2,3,5,7}:{(27,1),(28,1),(29,1),(47,1)}
        38:{2,3,4,6,7}:{(28,1),(30,1),(47,1),(48,1),(51,1),(67,1)}
        39:{1,2,4,6}:{(29,1),(32,1),(47,1),(49,1),(67,1)}
        40:{1,2,5,7}:{(30,1),(33,1),(48,1),(49,1)}
        41:{1,2,4,6,7}:{(31,1),(34,1),(50,1),(51,1),(55,1),(67,1),(86,1)}
        42:{1,3,5,6}:{(32,1),(33,1),(49,1),(52,1),(69,1)}
        43:{1,4,5,7}:{(33,1),(34,1),(52,1),(53,1)}
        44:{3,4,6,7}:{(34,1),(35,1),(53,1),(55,1)}
        45:{1,3,5,6,7}:{(35,1),(36,1),(54,1),(56,1),(70,1)}
        46:{2,3,5,6,7}:{(35,1),(55,1),(56,1),(71,1),(76,1)}
        47:{2,3,6}:{(37,1),(39,1)}
        48:{2,3,5,7}:{(38,1),(40,1),(57,1),(58,1),(60,1)}
        49:{1,2,5,6}:{(39,1),(40,1),(42,1),(57,1)}
        50:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(58,1),(59,1),(60,1),(65,1),(78,1),(82,1)}
        51:{3,4,6,7}:{(41,1),(60,1),(77,1)}
        52:{1,4,5,6}:{(42,1),(43,1),(63,1)}
        53:{3,4,5,7}:{(43,1),(44,1),(60,1),(63,1),(65,1)}
        54:{1,3,4,6,7}:{(44,1),(45,1),(64,1),(66,1)}
        55:{2,4,6,7}:{(44,1),(46,1),(65,1)}
        56:{1,2,5,6,7}:{(45,1),(46,1),(66,1),(82,1)}
        57:{2,3,5,6}:{(47,1),(48,1),(49,1),(67,1),(69,1)}
        58:{2,4,5,7}:{(48,1),(67,1),(68,1)}
        59:{1,2,4,5,6}:{(49,1),(50,1),(52,1),(67,1),(69,1),(74,1),(86,1),(89,1)}
        60:{3,5,7}:{(50,1),(51,1),(69,1)}
        61:{1,3,4,6,7}:{(51,1),(70,1),(72,1),(86,1),(98,1),(99,1)}
        62:{2,3,4,6,7}:{(51,1),(55,1),(71,1),(72,1),(76,1),(87,1),(92,1)}
        63:{3,4,5,6}:{(52,1),(53,1),(69,1),(74,1)}
        64:{1,3,4,5,7}:{(53,1),(54,1),(70,1),(73,1),(75,1),(99,1)}
        65:{2,4,5,7}:{(53,1),(55,1),(71,1),(74,1)}
        66:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(75,1),(76,1)}
        67:{2,4,6}:{(57,1),(58,1),(77,1)}
        68:{3,4,5,7}:{(58,1),(60,1),(77,1),(78,1)}
        69:{3,5,6}:{(59,1),(60,1),(77,1)}
        70:{1,3,5,7}:{(60,1),(61,1),(78,1),(80,1),(82,1)}
        71:{2,3,5,7}:{(60,1),(62,1),(65,1),(81,1),(82,1)}
        72:{1,2,4,6,7}:{(61,1),(62,1),(82,1),(83,1),(93,1),(96,1)}
        73:{1,3,4,5,6}:{(63,1),(64,1),(80,1),(84,1),(102,1)}
        74:{2,4,5,6}:{(63,1),(65,1),(81,1)}
        75:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(82,1),(84,1),(85,1),(96,1)}
        76:{2,3,6,7}:{(66,1),(85,1)}
        77:{3,4,6}:{(67,1),(68,1),(69,1),(86,1)}
        78:{1,4,5,7}:{(68,1),(70,1),(86,1)}
        79:{2,3,4,5,7}:{(68,1),(71,1),(87,1),(88,1),(92,1),(101,1)}
        80:{1,3,5,6}:{(69,1),(70,1),(86,1),(89,1),(98,1)}
        81:{2,3,5,6}:{(69,1),(71,1),(74,1),(87,1),(89,1)}
        82:{1,2,5,7}:{(70,1),(71,1),(72,1),(89,1)}
        83:{1,2,3,6,7}:{(72,1),(76,1),(90,1),(98,1)}
        84:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(89,1),(91,1),(100,1)}
        85:{2,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,4,6}:{(77,1),(78,1),(80,1)}
        87:{2,3,4,6}:{(77,1),(79,1),(81,1),(93,1)}
        88:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(93,1),(94,1),(96,1),(103,1)}
        89:{1,2,5,6}:{(80,1),(81,1),(82,1),(93,1)}
        90:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(94,1),(95,1),(96,1)}
        91:{2,3,5,6}:{(84,1),(85,1),(97,1)}
        92:{2,3,4,7}:{(85,1),(96,1),(97,1)}
        93:{1,2,4,6}:{(86,1),(87,1),(88,1),(89,1),(98,1)}
        94:{1,3,5,7}:{(88,1),(98,1),(99,1),(104,1)}
        95:{1,2,3,5,6}:{(89,1),(90,1),(91,1),(98,1),(100,1),(104,1)}
        96:{1,2,4,7}:{(90,1),(92,1),(99,1),(100,1)}
        97:{2,3,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{1,3,6}:{(93,1),(94,1)}
        99:{1,3,4,7}:{(94,1),(96,1),(102,1)}
       100:{1,2,4,6}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{2,3,4,5}:{(97,1),(103,1)}
       102:{1,3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       103:{1,2,4,5}:{(100,1),(101,1),(104,1)}
       104:{1,3,5}:{(102,1),(103,1)}

1847 :   0:{2,3,4,5,7}:{(7,1),(8,1),(10,1),(38,1),(80,1),(94,1),(95,1),(103,1),(139,1),(154,1)}
         1:{2,3,4,6,7}:{(8,1),(9,1),(10,1),(13,1),(48,1),(49,1),(103,1)}
         2:{1,3,5,6,7}:{(11,1),(12,1),(33,1),(44,1),(46,1),(48,1)}
         3:{2,3,5,6,7}:{(10,1),(11,1),(13,1),(14,1),(34,1),(48,1)}
         4:{2,4,5,6,7}:{(13,1),(14,1),(84,1)}
         5:{1,3,4,6,7}:{(16,1),(17,1),(22,1),(27,1),(60,1),(67,1),(72,1),(121,1),(124,1)}
         6:{2,3,4,6,7}:{(16,1),(18,1),(61,1),(107,1),(111,1),(118,1),(121,1),(124,1),(159,1)}
         7:{1,2,4,5,7}:{(0,1),(19,1),(20,1),(23,1),(57,1),(72,1),(119,1),(128,1)}
         8:{2,3,4,6}:{(0,1),(20,1),(21,1),(61,1),(121,1),(122,1),(129,1)}
         9:{1,2,4,6,7}:{(1,1),(20,1),(22,1),(23,1),(72,1)}
        10:{2,3,5,7}:{(1,1),(21,1),(23,1),(25,1),(73,1),(74,1)}
        11:{1,2,5,6,7}:{(2,1),(3,1),(23,1),(26,1),(29,1),(59,1),(74,1)}
        12:{1,4,6,7}:{(2,1),(24,1),(27,1),(60,1),(72,1)}
        13:{2,4,6,7}:{(3,1),(25,1),(28,1),(61,1)}
        14:{3,5,6,7}:{(4,1),(28,1),(29,1),(115,1)}
        15:{1,3,4,5,7}:{(30,1),(31,1),(37,1),(39,1),(79,1),(94,1),(96,1),(98,1),(178,1),(181,1)}
        16:{1,2,4,6,7}:{(5,1),(6,1),(35,1),(36,1),(49,1),(88,1),(90,1),(93,1),(146,1)}
        17:{1,3,5,7}:{(5,1),(33,1),(36,1),(37,1),(46,1),(94,1),(98,1)}
        18:{2,3,5,7}:{(6,1),(34,1),(36,1),(38,1),(94,1),(138,1),(139,1)}
        19:{1,3,5,7}:{(7,1),(39,1),(40,1),(94,1),(98,1)}
        20:{1,2,4,6}:{(7,1),(8,1),(40,1),(41,1),(99,1)}
        21:{2,3,5,6}:{(8,1),(10,1),(41,1),(43,1),(100,1),(101,1),(139,1)}
        22:{1,3,6,7}:{(9,1),(40,1),(44,1),(48,1)}
        23:{1,2,5,7}:{(9,1),(10,1),(41,1),(44,1)}
        24:{1,4,5,7}:{(12,1),(42,1),(46,1)}
        25:{2,4,5,7}:{(10,1),(13,1),(43,1),(47,1)}
        26:{1,2,4,6,7}:{(11,1),(12,1),(13,1),(45,1),(48,1),(49,1),(50,1),(90,1),(106,1)}
        27:{3,4,6,7}:{(12,1),(46,1),(48,1),(49,1),(91,1),(103,1)}
        28:{3,4,6,7}:{(13,1),(14,1),(47,1),(48,1),(50,1),(92,1)}
        29:{1,5,6,7}:{(14,1),(50,1),(143,1)}
        30:{1,2,4,5,7}:{(15,1),(52,1),(53,1),(57,1),(108,1),(119,1),(159,1),(163,1)}
        31:{1,3,4,6}:{(15,1),(53,1),(54,1),(60,1),(121,1),(123,1),(164,1)}
        32:{1,2,3,5,7}:{(19,1),(52,1),(57,1),(58,1),(119,1)}
        33:{1,3,5,6}:{(17,1),(59,1),(60,1),(70,1),(121,1)}
        34:{2,3,5,6}:{(18,1),(59,1),(61,1),(115,1),(121,1)}
        35:{1,2,3,6,7}:{(16,1),(22,1),(58,1),(62,1),(77,1),(107,1),(121,1),(167,1),(172,1)}
        36:{1,2,5,7}:{(16,1),(17,1),(18,1),(59,1),(74,1),(119,1),(162,1)}
        37:{1,4,5,7}:{(17,1),(60,1),(64,1),(72,1),(128,1)}
        38:{2,4,5,7}:{(18,1),(61,1),(65,1),(159,1),(163,1)}
        39:{1,3,4,7}:{(19,1),(57,1),(67,1),(72,1),(124,1)}
        40:{1,3,6}:{(19,1),(20,1),(121,1)}
        41:{1,2,5,6}:{(20,1),(21,1),(23,1),(68,1),(119,1)}
        42:{1,4,5,6}:{(24,1),(60,1),(70,1)}
        43:{2,4,5,6}:{(21,1),(25,1),(61,1),(71,1),(163,1)}
        44:{1,3,5,7}:{(22,1),(23,1),(68,1),(72,1),(73,1)}
        45:{1,2,4,5,7}:{(23,1),(24,1),(25,1),(26,1),(69,1),(72,1),(73,1),(74,1),(75,1),(133,1),(134,1)}
        46:{3,5,7}:{(24,1),(27,1),(70,1),(74,1)}
        47:{3,4,5,7}:{(25,1),(28,1),(71,1),(73,1),(75,1)}
        48:{3,6,7}:{(26,1),(73,1),(121,1)}
        49:{2,4,6,7}:{(27,1),(74,1),(77,1),(122,1),(133,1)}
        50:{1,4,6,7}:{(28,1),(29,1),(75,1),(76,1),(123,1)}
        51:{1,3,4,6,7}:{(31,1),(78,1),(79,1),(86,1),(144,1),(146,1),(178,1)}
        52:{2,3,5,7}:{(30,1),(80,1),(81,1),(94,1),(139,1)}
        53:{1,2,4,6}:{(30,1),(31,1),(81,1),(82,1),(140,1)}
        54:{1,3,5,6}:{(31,1),(79,1),(82,1),(83,1),(98,1),(141,1),(143,1)}
        55:{1,3,5,6,7}:{(33,1),(79,1),(85,1),(86,1),(97,1),(144,1)}
        56:{2,3,5,6,7}:{(34,1),(85,1),(87,1),(135,1),(138,1),(144,1)}
        57:{1,2,4,7}:{(32,1),(39,1),(80,1),(88,1)}
        58:{1,2,3,6}:{(32,1),(40,1),(81,1),(88,1)}
        59:{1,2,5,6}:{(33,1),(34,1),(36,1),(90,1),(101,1),(143,1)}
        60:{1,4,6}:{(33,1),(37,1),(91,1)}
        61:{2,4,6}:{(34,1),(38,1),(92,1)}
        62:{1,2,3,5,7}:{(35,1),(36,1),(44,1),(89,1),(93,1),(94,1),(105,1),(135,1),(153,1),(179,1),(189,1)}
        63:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(90,1),(93,1),(94,1),(95,1),(96,1),(147,1),(153,1)}
        64:{3,4,5,7}:{(37,1),(46,1),(91,1),(94,1),(95,1),(103,1),(154,1)}
        65:{3,4,5,7}:{(38,1),(92,1),(94,1),(96,1),(138,1),(178,1),(181,1)}
        66:{1,4,5,6,7}:{(42,1),(86,1),(97,1)}
        67:{1,3,4,6}:{(39,1),(40,1),(88,1),(98,1),(99,1),(148,1)}
        68:{1,3,5,6}:{(40,1),(41,1),(44,1),(98,1),(99,1),(100,1)}
        69:{1,2,4,5,6}:{(41,1),(42,1),(43,1),(45,1),(90,1),(99,1),(100,1),(101,1),(102,1),(147,1),(156,1),(157,1)}
        70:{3,5,6}:{(42,1),(46,1),(91,1),(101,1)}
        71:{3,4,5,6}:{(43,1),(47,1),(92,1),(100,1),(102,1),(181,1)}
        72:{1,4,7}:{(44,1),(99,1),(103,1)}
        73:{3,5,7}:{(45,1),(48,1),(100,1),(103,1)}
        74:{2,5,7}:{(46,1),(49,1),(101,1)}
        75:{1,4,5,7}:{(47,1),(50,1),(102,1),(104,1)}
        76:{1,3,6,7}:{(48,1),(50,1),(104,1),(106,1),(149,1)}
        77:{2,3,6,7}:{(48,1),(49,1),(105,1),(106,1),(150,1)}
        78:{1,2,4,6,7}:{(51,1),(53,1),(107,1),(108,1),(159,1)}
        79:{1,3,5,7}:{(51,1),(54,1),(108,1),(109,1),(160,1),(162,1)}
        80:{2,3,4,7}:{(52,1),(57,1),(111,1),(124,1),(159,1)}
        81:{2,3,6}:{(52,1),(53,1),(121,1)}
        82:{1,2,5,6}:{(53,1),(54,1),(108,1),(112,1),(119,1)}
        83:{1,4,5,6}:{(54,1),(60,1),(109,1),(114,1),(128,1)}
        84:{2,4,5,6}:{(61,1),(110,1),(115,1)}
        85:{1,2,5,6,7}:{(55,1),(56,1),(59,1),(108,1),(116,1),(127,1),(162,1)}
        86:{1,4,6,7}:{(55,1),(60,1),(109,1),(117,1)}
        87:{2,4,6,7}:{(56,1),(61,1),(110,1),(118,1),(159,1)}
        88:{1,2,4,6}:{(57,1),(58,1),(67,1),(111,1),(119,1)}
        89:{1,2,3,5,6}:{(58,1),(59,1),(62,1),(68,1),(112,1),(119,1),(120,1),(121,1),(131,1),(165,1),(169,1),(172,1),(198,1),(199,1)}
        90:{1,2,4,6}:{(59,1),(60,1),(61,1),(63,1),(121,1),(122,1),(123,1),(172,1)}
        91:{3,4,6}:{(60,1),(64,1),(70,1),(121,1),(122,1)}
        92:{3,4,6}:{(61,1),(65,1),(115,1),(121,1),(123,1)}
        93:{1,2,4,7}:{(62,1),(72,1),(120,1),(124,1),(133,1),(159,1),(192,1)}
        94:{3,5,7}:{(63,1),(121,1),(124,1),(169,1)}
        95:{2,4,5,7}:{(64,1),(74,1),(122,1),(126,1),(133,1),(175,1)}
        96:{1,4,5,7}:{(65,1),(123,1),(125,1),(162,1),(192,1),(195,1)}
        97:{3,5,6,7}:{(66,1),(70,1),(117,1),(127,1)}
        98:{1,3,5}:{(67,1),(119,1),(128,1),(169,1)}
        99:{1,4,6}:{(68,1),(72,1),(128,1),(129,1)}
       100:{3,5,6}:{(69,1),(73,1),(121,1),(129,1),(169,1)}
       101:{2,5,6}:{(70,1),(74,1),(122,1)}
       102:{1,4,5,6}:{(71,1),(75,1),(123,1),(130,1),(195,1)}
       103:{3,4,7}:{(72,1),(73,1),(129,1),(133,1)}
       104:{1,3,5,7}:{(73,1),(75,1),(76,1),(130,1),(132,1),(134,1)}
       105:{2,3,5,7}:{(73,1),(74,1),(77,1),(131,1),(133,1),(134,1),(177,1)}
       106:{1,2,6,7}:{(76,1),(77,1),(134,1),(172,1)}
       107:{2,3,6,7}:{(78,1),(81,1),(135,1),(144,1)}
       108:{1,2,5,7}:{(78,1),(79,1),(82,1),(135,1)}
       109:{1,4,5,7}:{(79,1),(83,1),(86,1),(137,1)}
       110:{2,4,5,7}:{(84,1),(87,1),(138,1)}
       111:{2,3,4,6}:{(80,1),(81,1),(88,1),(139,1),(140,1),(148,1)}
       112:{2,3,5,6}:{(81,1),(82,1),(135,1),(139,1),(140,1),(141,1)}
       113:{1,2,4,5,6}:{(82,1),(83,1),(84,1),(90,1),(136,1),(140,1),(141,1),(142,1),(143,1),(147,1),(182,1),(184,1)}
       114:{3,4,5,6}:{(83,1),(91,1),(137,1),(141,1),(142,1),(154,1)}
       115:{3,5,6}:{(84,1),(92,1),(138,1),(143,1)}
       116:{1,2,4,6,7}:{(85,1),(86,1),(87,1),(90,1),(136,1),(144,1),(145,1),(146,1),(185,1)}
       117:{3,4,6,7}:{(86,1),(91,1),(97,1),(137,1),(144,1),(145,1)}
       118:{3,4,6,7}:{(87,1),(92,1),(138,1),(144,1),(146,1),(178,1)}
       119:{1,2,5}:{(88,1),(98,1),(139,1)}
       120:{1,2,4,6}:{(89,1),(93,1),(99,1),(140,1),(147,1),(148,1),(156,1),(182,1)}
       121:{3,6}:{(90,1),(94,1)}
       122:{2,4,6}:{(91,1),(95,1),(101,1),(150,1)}
       123:{1,4,6}:{(92,1),(96,1),(143,1),(149,1)}
       124:{3,4,7}:{(93,1),(94,1),(148,1)}
       125:{1,3,5,7}:{(94,1),(96,1),(149,1),(151,1),(153,1),(186,1)}
       126:{2,3,5,7}:{(94,1),(95,1),(150,1),(152,1),(153,1),(187,1)}
       127:{2,5,6,7}:{(97,1),(101,1),(145,1)}
       128:{1,4,5}:{(98,1),(99,1),(154,1)}
       129:{3,4,6}:{(99,1),(100,1),(103,1),(154,1),(156,1)}
       130:{1,3,5,6}:{(100,1),(102,1),(104,1),(149,1),(155,1),(157,1),(186,1)}
       131:{2,3,5,6}:{(100,1),(101,1),(105,1),(150,1),(156,1),(157,1),(187,1),(191,1)}
       132:{1,3,4,7}:{(103,1),(104,1),(155,1),(158,1)}
       133:{2,4,7}:{(103,1),(105,1),(156,1)}
       134:{1,2,5,7}:{(104,1),(105,1),(106,1),(157,1),(158,1)}
       135:{2,3,5,7}:{(107,1),(108,1),(112,1),(159,1),(160,1)}
       136:{1,2,4,5,7}:{(108,1),(109,1),(110,1),(113,1),(116,1),(159,1),(160,1),(161,1),(162,1),(192,1),(194,1)}
       137:{3,4,5,7}:{(109,1),(114,1),(117,1),(160,1),(161,1)}
       138:{3,5,7}:{(110,1),(115,1),(118,1),(162,1)}
       139:{2,3,5}:{(111,1),(119,1),(163,1),(169,1)}
       140:{2,4,6}:{(112,1),(159,1),(163,1),(164,1)}
       141:{3,5,6}:{(113,1),(121,1),(160,1),(164,1),(169,1)}
       142:{2,4,5,6}:{(114,1),(122,1),(161,1),(166,1),(175,1)}
       143:{1,5,6}:{(115,1),(123,1),(162,1)}
       144:{3,6,7}:{(116,1),(121,1),(160,1)}
       145:{2,4,6,7}:{(117,1),(122,1),(127,1),(161,1),(168,1)}
       146:{1,4,6,7}:{(118,1),(123,1),(162,1),(167,1),(192,1)}
       147:{1,2,4,5}:{(119,1),(120,1),(128,1),(163,1),(169,1),(175,1),(195,1),(198,1)}
       148:{3,4,6}:{(120,1),(121,1),(124,1),(169,1)}
       149:{1,3,6}:{(121,1),(123,1),(125,1),(172,1)}
       150:{2,3,6}:{(121,1),(122,1),(126,1),(172,1)}
       151:{1,3,4,7}:{(124,1),(125,1),(170,1),(173,1),(192,1),(206,1)}
       152:{2,3,4,7}:{(124,1),(126,1),(133,1),(171,1),(173,1),(177,1)}
       153:{1,2,5,7}:{(125,1),(126,1),(172,1),(173,1),(198,1)}
       154:{3,4,5}:{(128,1),(129,1),(169,1),(175,1)}
       155:{1,3,4,6}:{(129,1),(130,1),(132,1),(174,1),(176,1)}
       156:{2,4,6}:{(129,1),(131,1),(133,1),(175,1)}
       157:{1,2,5,6}:{(130,1),(131,1),(134,1),(172,1),(176,1),(198,1)}
       158:{1,2,4,7}:{(132,1),(133,1),(134,1),(176,1),(177,1)}
       159:{2,4,7}:{(135,1),(140,1),(178,1)}
       160:{3,5,7}:{(136,1),(141,1),(144,1),(178,1)}
       161:{2,4,5,7}:{(137,1),(142,1),(145,1),(180,1)}
       162:{1,5,7}:{(138,1),(143,1),(146,1)}
       163:{2,4,5}:{(139,1),(140,1),(181,1)}
       164:{3,4,6}:{(140,1),(141,1),(178,1),(181,1),(182,1)}
       165:{1,3,5,6}:{(141,1),(143,1),(149,1),(179,1),(182,1),(184,1),(186,1),(203,1)}
       166:{2,3,5,6}:{(141,1),(142,1),(150,1),(180,1),(183,1),(184,1),(187,1)}
       167:{1,3,6,7}:{(144,1),(146,1),(149,1),(179,1),(185,1)}
       168:{2,3,6,7}:{(144,1),(145,1),(150,1),(180,1),(185,1)}
       169:{3,5}:{(147,1),(148,1)}
       170:{1,3,4,6}:{(148,1),(149,1),(151,1),(182,1),(186,1),(188,1),(203,1),(209,1)}
       171:{2,3,4,6}:{(148,1),(150,1),(152,1),(156,1),(187,1),(188,1),(191,1),(205,1)}
       172:{1,2,6}:{(149,1),(150,1),(153,1)}
       173:{1,2,4,7}:{(151,1),(152,1),(153,1),(188,1),(189,1)}
       174:{1,3,4,5}:{(154,1),(155,1),(186,1),(190,1),(209,1)}
       175:{2,4,5}:{(154,1),(156,1),(187,1)}
       176:{1,2,4,6}:{(155,1),(156,1),(157,1),(158,1),(190,1),(191,1)}
       177:{2,3,7}:{(158,1),(191,1)}
       178:{3,4,7}:{(159,1),(160,1),(164,1),(192,1)}
       179:{1,3,5,7}:{(160,1),(162,1),(165,1),(167,1),(192,1),(194,1),(206,1)}
       180:{2,3,5,7}:{(160,1),(161,1),(166,1),(168,1),(193,1),(194,1)}
       181:{3,4,5}:{(163,1),(164,1),(169,1),(195,1)}
       182:{1,4,6}:{(164,1),(165,1),(192,1),(195,1)}
       183:{2,3,4,6}:{(164,1),(166,1),(193,1),(196,1),(197,1)}
       184:{1,2,5,6}:{(165,1),(166,1),(172,1),(194,1),(197,1),(198,1)}
       185:{1,2,6,7}:{(167,1),(168,1),(172,1),(194,1)}
       186:{1,3,5}:{(169,1),(170,1),(195,1),(198,1)}
       187:{2,3,5}:{(169,1),(171,1),(175,1),(198,1)}
       188:{1,2,4,6}:{(170,1),(171,1),(172,1),(173,1),(198,1),(199,1),(208,1)}
       189:{1,2,3,7}:{(173,1),(177,1),(199,1),(206,1)}
       190:{1,2,4,5}:{(174,1),(175,1),(176,1),(198,1),(200,1),(208,1)}
       191:{2,3,6}:{(176,1),(177,1),(200,1)}
       192:{1,4,7}:{(178,1),(179,1),(182,1)}
       193:{2,3,4,7}:{(178,1),(180,1),(183,1),(201,1)}
       194:{1,2,5,7}:{(179,1),(180,1),(184,1),(185,1),(201,1)}
       195:{1,4,5}:{(181,1),(182,1),(186,1)}
       196:{2,3,4,5}:{(181,1),(183,1),(187,1),(202,1),(205,1)}
       197:{1,2,4,6}:{(182,1),(183,1),(184,1),(201,1),(202,1),(203,1)}
       198:{1,2,5}:{(186,1),(187,1),(188,1)}
       199:{1,2,3,6}:{(188,1),(189,1),(191,1),(203,1),(204,1)}
       200:{2,3,5}:{(190,1),(191,1),(205,1)}
       201:{1,2,4,7}:{(192,1),(193,1),(194,1),(197,1),(206,1)}
       202:{1,2,4,5}:{(195,1),(196,1),(197,1),(198,1),(207,1),(208,1)}
       203:{1,3,6}:{(197,1),(206,1),(207,1)}
       204:{1,2,3,5}:{(198,1),(199,1),(200,1),(207,1),(208,1)}
       205:{2,3,4}:{(200,1),(208,1)}
       206:{1,3,7}:{(201,1),(203,1)}
       207:{1,3,5}:{(202,1),(203,1),(209,1)}
       208:{1,2,4}:{(204,1),(205,1),(209,1)}
       209:{1,3,4}:{(207,1),(208,1)}

1848 :   0:{1,3,4,5,7}:{(2,1),(3,1),(14,1),(44,1),(84,1),(88,1),(96,1),(127,1),(132,1),(135,1)}
         1:{1,4,5,6,7}:{(4,1),(22,1),(173,1)}
         2:{1,3,4,6}:{(0,1),(7,1),(8,1),(72,1),(153,1),(158,1),(160,1)}
         3:{1,2,4,5,7}:{(0,1),(8,1),(9,1),(27,1),(30,1),(62,1),(69,1),(73,1)}
         4:{3,5,6,7}:{(1,1),(10,1),(12,1),(190,1)}
         5:{1,3,4,6,7}:{(2,1),(14,1),(15,1),(22,1),(55,1),(84,1),(99,1)}
         6:{3,4,5,6}:{(13,1),(17,1),(18,1),(50,1),(140,1),(175,1)}
         7:{1,3,5,6}:{(2,1),(14,1),(17,1),(19,1),(50,1),(88,1),(150,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(19,1),(20,1),(51,1)}
         9:{2,3,5,7}:{(3,1),(20,1),(21,1),(52,1),(132,1)}
        10:{3,4,6,7}:{(4,1),(13,1),(22,1),(23,1),(55,1),(175,1)}
        11:{1,3,5,6,7}:{(4,1),(14,1),(22,1),(24,1),(55,1),(128,1)}
        12:{2,5,6,7}:{(4,1),(23,1),(202,1)}
        13:{3,4,5,7}:{(6,1),(10,1),(25,1),(26,1),(61,1)}
        14:{1,3,5,7}:{(5,1),(7,1),(25,1),(27,1),(61,1),(124,1)}
        15:{1,2,4,6,7}:{(5,1),(8,1),(27,1),(28,1),(62,1)}
        16:{1,2,3,5,7}:{(9,1),(29,1),(30,1),(66,1),(69,1)}
        17:{1,4,5,6}:{(6,1),(7,1),(25,1),(112,1),(153,1)}
        18:{2,4,5,6}:{(6,1),(26,1),(31,1),(163,1),(192,1)}
        19:{1,2,5,6}:{(7,1),(8,1),(27,1),(33,1),(69,1)}
        20:{2,3,6}:{(8,1),(9,1),(158,1)}
        21:{2,3,4,7}:{(9,1),(30,1),(34,1),(62,1),(104,1)}
        22:{1,4,6,7}:{(10,1),(11,1),(25,1),(153,1)}
        23:{2,4,6,7}:{(10,1),(12,1),(26,1),(36,1),(192,1)}
        24:{1,2,5,6,7}:{(11,1),(12,1),(27,1),(37,1),(38,1),(106,1),(124,1)}
        25:{1,4,5,7}:{(13,1),(14,1),(17,1),(22,1)}
        26:{2,4,5,7}:{(13,1),(18,1),(23,1),(40,1)}
        27:{1,2,5,7}:{(14,1),(15,1),(19,1),(42,1)}
        28:{2,3,6,7}:{(15,1),(20,1),(42,1),(55,1)}
        29:{1,2,3,6}:{(16,1),(20,1),(47,1),(89,1)}
        30:{1,2,4,7}:{(16,1),(21,1),(44,1),(47,1)}
        31:{2,3,5,6}:{(18,1),(40,1),(45,1),(49,1),(50,1),(144,1),(178,1)}
        32:{1,2,4,5,6}:{(17,1),(18,1),(19,1),(41,1),(49,1),(50,1),(51,1),(92,1),(95,1),(101,1),(133,1),(150,1)}
        33:{2,3,5,6}:{(19,1),(20,1),(42,1),(50,1),(51,1),(52,1)}
        34:{2,3,4,6}:{(20,1),(21,1),(47,1),(51,1),(52,1),(91,1)}
        35:{2,3,4,5,7}:{(21,1),(48,1),(52,1),(53,1),(85,1),(98,1),(132,1),(140,1),(174,1),(186,1)}
        36:{2,3,6,7}:{(23,1),(40,1),(54,1),(55,1),(178,1)}
        37:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(41,1),(54,1),(55,1),(56,1),(99,1),(133,1)}
        38:{2,3,5,6,7}:{(24,1),(42,1),(55,1),(56,1),(86,1),(100,1)}
        39:{1,2,3,6,7}:{(28,1),(29,1),(58,1),(59,1),(76,1),(114,1),(158,1),(194,1),(195,1)}
        40:{2,3,5,7}:{(26,1),(31,1),(36,1),(57,1),(60,1),(61,1)}
        41:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(32,1),(37,1),(60,1),(61,1),(62,1),(78,1),(107,1),(124,1)}
        42:{2,3,5,7}:{(27,1),(28,1),(33,1),(61,1),(62,1)}
        43:{2,3,4,6,7}:{(28,1),(34,1),(59,1),(62,1),(63,1),(77,1),(104,1),(109,1),(158,1)}
        44:{1,3,4,7}:{(30,1),(65,1),(66,1),(104,1),(166,1)}
        45:{2,3,4,6}:{(31,1),(57,1),(64,1),(67,1),(72,1)}
        46:{1,2,3,5,6}:{(29,1),(33,1),(58,1),(68,1),(69,1),(71,1),(106,1),(113,1),(115,1),(118,1),(158,1),(167,1),(168,1),(194,1)}
        47:{1,2,4,6}:{(29,1),(30,1),(34,1),(65,1),(69,1)}
        48:{1,2,4,5,7}:{(30,1),(35,1),(66,1),(69,1),(70,1),(112,1),(120,1),(166,1)}
        49:{1,2,5,6}:{(31,1),(60,1),(67,1),(71,1),(167,1),(194,1)}
        50:{3,5,6}:{(32,1),(61,1),(72,1),(118,1),(158,1)}
        51:{2,4,6}:{(33,1),(62,1),(72,1),(73,1)}
        52:{2,3,5}:{(34,1),(69,1),(73,1),(118,1)}
        53:{2,3,4,6}:{(35,1),(70,1),(74,1),(109,1),(158,1),(165,1),(192,1)}
        54:{1,2,6,7}:{(36,1),(60,1),(76,1),(194,1)}
        55:{3,6,7}:{(37,1),(61,1),(158,1)}
        56:{2,4,6,7}:{(38,1),(62,1),(77,1),(78,1),(109,1)}
        57:{2,3,4,7}:{(40,1),(45,1),(80,1),(84,1)}
        58:{1,2,3,5,7}:{(39,1),(42,1),(46,1),(81,1),(82,1),(83,1),(129,1),(132,1),(142,1),(177,1),(188,1)}
        59:{1,2,4,6,7}:{(39,1),(43,1),(47,1),(79,1),(81,1),(82,1),(99,1),(133,1),(204,1)}
        60:{1,2,5,7}:{(40,1),(49,1),(54,1),(80,1),(83,1)}
        61:{3,5,7}:{(41,1),(50,1),(55,1),(84,1)}
        62:{2,4,7}:{(42,1),(51,1),(84,1)}
        63:{2,3,5,7}:{(43,1),(52,1),(82,1),(85,1),(86,1),(100,1),(132,1)}
        64:{2,3,4,5}:{(45,1),(87,1),(96,1),(144,1),(182,1)}
        65:{1,3,4,6}:{(44,1),(47,1),(88,1),(89,1),(91,1),(141,1)}
        66:{1,3,5,7}:{(44,1),(48,1),(88,1),(89,1),(132,1)}
        67:{1,2,4,6}:{(45,1),(49,1),(80,1),(87,1),(90,1),(95,1)}
        68:{1,2,4,6}:{(46,1),(51,1),(81,1),(91,1),(92,1),(95,1),(141,1),(184,1)}
        69:{1,2,5}:{(47,1),(52,1),(88,1)}
        70:{1,2,4,6}:{(48,1),(53,1),(89,1),(93,1),(141,1)}
        71:{1,3,5,6}:{(49,1),(50,1),(83,1),(90,1),(95,1),(145,1),(150,1),(179,1)}
        72:{3,4,6}:{(50,1),(51,1),(84,1),(95,1),(96,1)}
        73:{2,4,5}:{(51,1),(52,1),(96,1)}
        74:{2,3,5,6}:{(52,1),(53,1),(93,1),(97,1),(98,1),(146,1),(202,1)}
        75:{2,3,4,6,7}:{(53,1),(94,1),(98,1),(137,1),(180,1),(186,1),(204,1)}
        76:{1,3,6,7}:{(54,1),(55,1),(83,1),(99,1),(179,1)}
        77:{3,4,6,7}:{(55,1),(56,1),(84,1),(99,1),(100,1),(136,1)}
        78:{2,4,5,7}:{(56,1),(100,1),(101,1)}
        79:{1,3,4,6,7}:{(59,1),(65,1),(102,1),(104,1),(114,1),(153,1),(158,1),(166,1),(193,1)}
        80:{1,2,4,7}:{(57,1),(60,1),(67,1),(103,1),(107,1)}
        81:{1,2,4,7}:{(58,1),(62,1),(68,1),(104,1),(107,1),(166,1),(199,1)}
        82:{1,2,5,7}:{(59,1),(63,1),(69,1),(102,1),(106,1),(124,1),(208,1)}
        83:{1,3,5,7}:{(60,1),(61,1),(71,1),(76,1),(103,1),(107,1),(124,1)}
        84:{3,4,7}:{(61,1),(62,1),(72,1),(107,1)}
        85:{2,4,5,7}:{(62,1),(63,1),(73,1),(108,1),(109,1)}
        86:{2,3,5,6}:{(63,1),(106,1),(109,1),(125,1),(158,1)}
        87:{1,2,4,5}:{(64,1),(67,1),(111,1),(121,1),(162,1),(167,1)}
        88:{1,3,5}:{(65,1),(69,1),(112,1),(118,1)}
        89:{1,3,6}:{(66,1),(70,1),(158,1)}
        90:{1,3,6}:{(67,1),(103,1),(111,1)}
        91:{3,4,6}:{(68,1),(104,1),(118,1),(158,1)}
        92:{1,2,4,5}:{(68,1),(69,1),(73,1),(112,1),(118,1),(121,1),(163,1),(167,1)}
        93:{1,2,5,6}:{(69,1),(70,1),(74,1),(113,1),(120,1)}
        94:{1,2,4,6,7}:{(70,1),(75,1),(114,1),(120,1),(166,1)}
        95:{1,4,6}:{(71,1),(72,1),(107,1),(121,1)}
        96:{3,4,5}:{(72,1),(73,1),(118,1),(121,1)}
        97:{2,4,5,6}:{(73,1),(74,1),(109,1),(122,1),(123,1)}
        98:{2,3,5,7}:{(74,1),(75,1),(120,1),(123,1),(170,1),(208,1)}
        99:{1,4,6,7}:{(76,1),(77,1),(107,1),(124,1),(160,1)}
       100:{3,5,7}:{(77,1),(78,1),(124,1),(125,1)}
       101:{2,4,5,6}:{(78,1),(109,1),(125,1)}
       102:{1,3,5,7}:{(79,1),(82,1),(88,1),(127,1),(128,1),(132,1),(203,1)}
       103:{1,3,7}:{(80,1),(90,1)}
       104:{3,4,7}:{(81,1),(91,1),(132,1)}
       105:{1,2,4,5,7}:{(81,1),(82,1),(85,1),(92,1),(127,1),(132,1),(133,1),(135,1),(174,1),(177,1)}
       106:{1,2,5,6}:{(82,1),(86,1),(128,1),(133,1),(150,1),(202,1)}
       107:{1,4,7}:{(83,1),(84,1),(95,1)}
       108:{3,4,5,7}:{(84,1),(85,1),(96,1),(100,1),(132,1),(135,1),(136,1)}
       109:{2,4,6}:{(85,1),(86,1),(136,1)}
       110:{2,3,5,6,7}:{(86,1),(98,1),(134,1),(137,1),(151,1),(180,1)}
       111:{1,3,5}:{(87,1),(90,1),(139,1)}
       112:{1,4,5}:{(88,1),(140,1),(141,1)}
       113:{1,3,5,6}:{(88,1),(89,1),(93,1),(141,1),(142,1),(146,1)}
       114:{1,3,6,7}:{(89,1),(94,1),(142,1),(180,1)}
       115:{1,2,3,6}:{(90,1),(129,1),(138,1),(143,1),(206,1)}
       116:{2,3,4,6}:{(91,1),(130,1),(143,1),(144,1),(178,1),(182,1),(184,1),(206,1)}
       117:{1,3,4,6}:{(90,1),(91,1),(95,1),(131,1),(139,1),(143,1),(145,1),(179,1)}
       118:{3,5}:{(91,1),(92,1)}
       119:{1,2,4,5,6}:{(92,1),(93,1),(97,1),(133,1),(141,1),(146,1),(147,1),(148,1),(173,1),(184,1),(187,1),(202,1)}
       120:{1,2,5,7}:{(93,1),(94,1),(98,1),(142,1)}
       121:{1,4,5}:{(95,1),(96,1),(145,1)}
       122:{3,4,5,6}:{(96,1),(97,1),(136,1),(146,1),(148,1),(149,1)}
       123:{2,4,5,7}:{(97,1),(98,1),(137,1),(149,1)}
       124:{1,5,7}:{(99,1),(100,1),(150,1)}
       125:{3,5,6}:{(100,1),(101,1),(136,1),(150,1)}
       126:{2,4,5,6,7}:{(101,1),(137,1),(151,1)}
       127:{1,4,5,7}:{(102,1),(112,1),(152,1),(153,1),(166,1)}
       128:{1,3,5,6}:{(102,1),(106,1),(153,1),(158,1),(190,1)}
       129:{1,2,3,7}:{(103,1),(115,1),(155,1),(209,1)}
       130:{2,3,4,7}:{(104,1),(116,1),(155,1),(156,1),(199,1),(209,1)}
       131:{1,3,4,7}:{(103,1),(104,1),(107,1),(117,1),(155,1),(157,1)}
       132:{3,5,7}:{(104,1),(105,1),(118,1),(158,1)}
       133:{1,2,4,6}:{(105,1),(106,1),(109,1),(153,1),(158,1),(160,1),(192,1),(194,1)}
       134:{1,2,5,6,7}:{(106,1),(110,1),(120,1),(154,1),(159,1),(172,1),(208,1)}
       135:{1,4,5,7}:{(107,1),(108,1),(121,1),(124,1),(157,1),(160,1)}
       136:{3,4,6}:{(108,1),(109,1),(125,1),(158,1),(160,1)}
       137:{2,4,6,7}:{(109,1),(110,1),(123,1),(161,1)}
       138:{1,2,3,5}:{(111,1),(115,1),(162,1),(167,1),(197,1)}
       139:{1,3,4}:{(111,1),(162,1)}
       140:{3,4,5}:{(112,1),(118,1),(163,1),(165,1)}
       141:{1,4,6}:{(112,1),(113,1),(165,1),(166,1)}
       142:{1,3,5,7}:{(113,1),(114,1),(120,1),(166,1),(170,1)}
       143:{1,2,4,6}:{(115,1),(116,1),(117,1),(155,1),(162,1),(167,1),(194,1)}
       144:{2,3,5}:{(116,1),(118,1),(163,1),(167,1)}
       145:{1,3,5}:{(117,1),(118,1),(121,1),(167,1)}
       146:{3,5,6}:{(118,1),(119,1),(158,1),(165,1),(170,1)}
       147:{1,2,4,5,7}:{(119,1),(120,1),(123,1),(159,1),(166,1),(170,1),(171,1),(191,1),(199,1),(201,1),(208,1)}
       148:{1,4,5,6}:{(121,1),(122,1),(160,1),(169,1),(171,1)}
       149:{3,4,5,7}:{(122,1),(123,1),(161,1),(170,1),(171,1)}
       150:{1,5,6}:{(124,1),(125,1),(160,1)}
       151:{3,5,6,7}:{(125,1),(126,1),(161,1),(172,1)}
       152:{3,4,5,7}:{(127,1),(132,1),(140,1),(174,1),(175,1),(186,1),(203,1)}
       153:{1,4,6}:{(127,1),(128,1),(175,1)}
       154:{1,3,5,6,7}:{(128,1),(134,1),(142,1),(176,1),(180,1),(203,1)}
       155:{1,2,4,7}:{(129,1),(130,1),(131,1),(143,1),(177,1)}
       156:{2,3,5,7}:{(130,1),(132,1),(144,1),(174,1),(177,1),(178,1)}
       157:{1,3,5,7}:{(131,1),(132,1),(135,1),(145,1),(177,1),(179,1)}
       158:{3,6}:{(132,1),(133,1)}
       159:{1,2,4,6,7}:{(133,1),(134,1),(137,1),(147,1),(176,1),(180,1),(181,1),(204,1),(205,1)}
       160:{1,4,6}:{(135,1),(136,1),(150,1),(179,1)}
       161:{3,4,6,7}:{(136,1),(137,1),(149,1),(151,1),(180,1),(181,1)}
       162:{1,2,4}:{(138,1),(139,1),(182,1)}
       163:{2,4,5}:{(140,1),(144,1),(184,1)}
       164:{1,3,4,5}:{(139,1),(140,1),(145,1),(183,1),(185,1)}
       165:{3,4,6}:{(140,1),(141,1),(146,1),(184,1),(186,1)}
       166:{1,4,7}:{(141,1),(142,1),(186,1)}
       167:{1,2,5}:{(143,1),(144,1),(145,1)}
       168:{2,3,5,6}:{(144,1),(146,1),(178,1),(184,1),(187,1),(188,1),(202,1),(206,1)}
       169:{1,3,5,6}:{(145,1),(146,1),(148,1),(179,1),(185,1),(187,1),(189,1)}
       170:{3,5,7}:{(146,1),(147,1),(180,1),(186,1)}
       171:{1,4,5,7}:{(148,1),(149,1),(181,1),(189,1)}
       172:{1,5,6,7}:{(150,1),(151,1),(181,1)}
       173:{1,4,5,6}:{(153,1),(190,1),(191,1)}
       174:{2,4,5,7}:{(152,1),(156,1),(163,1),(192,1),(199,1),(208,1)}
       175:{3,4,6}:{(152,1),(153,1),(158,1),(190,1),(192,1)}
       176:{1,4,6,7}:{(153,1),(154,1),(166,1),(191,1),(193,1)}
       177:{1,2,5,7}:{(155,1),(156,1),(157,1),(167,1),(194,1)}
       178:{2,3,6}:{(156,1),(158,1),(192,1),(194,1)}
       179:{1,3,6}:{(157,1),(158,1),(160,1),(194,1)}
       180:{3,6,7}:{(158,1),(159,1),(170,1)}
       181:{1,4,6,7}:{(160,1),(161,1),(171,1),(172,1),(196,1)}
       182:{2,3,4}:{(162,1),(197,1)}
       183:{1,2,4,5}:{(162,1),(163,1),(164,1),(167,1),(197,1),(198,1)}
       184:{2,4,6}:{(163,1),(165,1),(168,1),(199,1)}
       185:{1,3,4,6}:{(164,1),(165,1),(169,1),(198,1),(200,1)}
       186:{3,4,7}:{(165,1),(166,1),(170,1),(199,1)}
       187:{1,2,5,6}:{(167,1),(168,1),(169,1),(194,1),(198,1),(201,1)}
       188:{2,3,5,7}:{(168,1),(170,1),(195,1),(199,1),(201,1),(208,1),(209,1)}
       189:{1,3,5,7}:{(169,1),(170,1),(171,1),(196,1),(200,1),(201,1)}
       190:{3,5,6}:{(173,1),(175,1),(202,1),(203,1)}
       191:{1,4,5,7}:{(173,1),(176,1),(203,1)}
       192:{2,4,6}:{(174,1),(175,1),(178,1),(202,1)}
       193:{3,4,6,7}:{(175,1),(176,1),(180,1),(186,1),(203,1),(204,1)}
       194:{1,2,6}:{(177,1),(178,1),(179,1)}
       195:{2,3,6,7}:{(178,1),(180,1),(188,1),(204,1),(205,1)}
       196:{1,3,6,7}:{(179,1),(180,1),(181,1),(189,1),(205,1)}
       197:{2,3,5}:{(182,1),(183,1),(206,1)}
       198:{1,2,4,6}:{(183,1),(184,1),(185,1),(187,1),(206,1),(207,1)}
       199:{2,4,7}:{(184,1),(186,1),(188,1)}
       200:{1,3,4,7}:{(185,1),(186,1),(189,1),(207,1)}
       201:{1,2,5,7}:{(187,1),(188,1),(189,1),(205,1),(207,1)}
       202:{2,5,6}:{(190,1),(192,1),(208,1)}
       203:{3,5,7}:{(190,1),(191,1),(193,1),(208,1)}
       204:{2,4,6,7}:{(192,1),(193,1),(195,1),(199,1),(208,1)}
       205:{1,2,6,7}:{(194,1),(195,1),(196,1),(201,1)}
       206:{2,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,2,4,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       208:{2,5,7}:{(202,1),(203,1),(204,1)}
       209:{2,3,7}:{(206,1),(207,1)}

1849 :   0:{1,3,4,5,7}:{(1,1),(2,1),(14,1),(41,1),(90,1),(100,1),(103,1),(144,1),(153,1),(160,1)}
         1:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(26,1),(29,1),(69,1),(72,1),(75,1)}
         2:{1,3,4,6}:{(0,1),(6,1),(7,1),(76,1),(169,1),(177,1),(183,1)}
         3:{2,3,4,5,7}:{(10,1),(11,1),(15,1),(40,1),(52,1),(99,1),(145,1),(148,1),(153,1),(191,1)}
         4:{1,3,4,6,7}:{(2,1),(13,1),(14,1),(20,1),(57,1),(100,1),(110,1)}
         5:{2,3,5,7}:{(1,1),(15,1),(16,1),(52,1),(153,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(53,1)}
         7:{1,3,5,6}:{(2,1),(14,1),(17,1),(18,1),(54,1),(90,1),(164,1)}
         8:{1,3,5,6,7}:{(14,1),(19,1),(20,1),(21,1),(57,1),(143,1)}
         9:{1,4,5,6,7}:{(20,1),(21,1),(186,1)}
        10:{1,2,4,5,7}:{(3,1),(23,1),(24,1),(26,1),(61,1),(69,1),(116,1),(119,1)}
        11:{2,3,4,6}:{(3,1),(24,1),(25,1),(120,1),(129,1),(177,1),(203,1)}
        12:{1,2,3,5,7}:{(5,1),(23,1),(26,1),(27,1),(69,1)}
        13:{1,2,4,6,7}:{(4,1),(6,1),(28,1),(29,1),(72,1)}
        14:{1,3,5,7}:{(4,1),(7,1),(29,1),(30,1),(73,1),(139,1)}
        15:{2,3,4,7}:{(5,1),(26,1),(31,1),(72,1),(125,1)}
        16:{2,3,6}:{(5,1),(6,1),(177,1)}
        17:{1,2,5,6}:{(6,1),(7,1),(29,1),(32,1),(69,1)}
        18:{1,4,5,6}:{(7,1),(30,1),(34,1),(119,1),(169,1)}
        19:{1,2,5,6,7}:{(8,1),(29,1),(35,1),(36,1),(38,1),(123,1),(139,1)}
        20:{1,4,6,7}:{(8,1),(30,1),(37,1),(169,1)}
        21:{3,5,6,7}:{(9,1),(37,1),(38,1),(201,1)}
        22:{2,3,4,6,7}:{(11,1),(39,1),(40,1),(85,1),(141,1),(145,1),(188,1)}
        23:{1,3,5,7}:{(10,1),(41,1),(42,1),(90,1),(153,1)}
        24:{1,2,4,6}:{(10,1),(11,1),(42,1),(43,1),(91,1)}
        25:{2,3,5,6}:{(11,1),(40,1),(43,1),(44,1),(52,1),(92,1),(208,1)}
        26:{1,2,4,7}:{(12,1),(15,1),(41,1),(46,1)}
        27:{1,2,3,6}:{(12,1),(16,1),(42,1),(46,1)}
        28:{2,3,6,7}:{(13,1),(16,1),(49,1),(57,1)}
        29:{1,2,5,7}:{(13,1),(14,1),(17,1),(49,1)}
        30:{1,4,5,7}:{(14,1),(18,1),(20,1),(51,1)}
        31:{2,3,4,6}:{(15,1),(16,1),(46,1),(52,1),(53,1),(97,1)}
        32:{2,3,5,6}:{(16,1),(17,1),(49,1),(52,1),(53,1),(54,1)}
        33:{1,2,4,5,6}:{(17,1),(18,1),(50,1),(53,1),(54,1),(55,1),(96,1),(104,1),(106,1),(108,1),(152,1),(164,1)}
        34:{3,4,5,6}:{(18,1),(51,1),(54,1),(55,1),(148,1),(190,1)}
        35:{2,3,5,6,7}:{(19,1),(49,1),(56,1),(57,1),(98,1),(109,1)}
        36:{1,2,4,6,7}:{(19,1),(20,1),(50,1),(56,1),(57,1),(58,1),(110,1),(111,1),(152,1)}
        37:{3,4,6,7}:{(20,1),(21,1),(51,1),(57,1),(58,1),(190,1)}
        38:{2,5,6,7}:{(21,1),(58,1),(208,1)}
        39:{1,2,4,6,7}:{(22,1),(24,1),(60,1),(61,1),(116,1)}
        40:{2,3,5,7}:{(22,1),(25,1),(61,1),(62,1),(117,1),(202,1)}
        41:{1,3,4,7}:{(23,1),(26,1),(63,1),(116,1),(125,1)}
        42:{1,3,6}:{(23,1),(24,1),(177,1)}
        43:{1,2,5,6}:{(24,1),(25,1),(61,1),(64,1),(69,1)}
        44:{2,4,5,6}:{(25,1),(62,1),(66,1),(75,1),(129,1)}
        45:{1,2,3,6,7}:{(27,1),(28,1),(60,1),(67,1),(68,1),(82,1),(168,1),(177,1),(206,1)}
        46:{1,2,4,6}:{(26,1),(27,1),(31,1),(63,1),(69,1)}
        47:{1,2,3,5,6}:{(27,1),(32,1),(64,1),(68,1),(69,1),(70,1),(77,1),(122,1),(123,1),(126,1),(177,1),(181,1),(182,1),(206,1)}
        48:{2,3,4,6,7}:{(28,1),(31,1),(67,1),(71,1),(72,1),(81,1),(125,1),(129,1),(177,1)}
        49:{2,3,5,7}:{(28,1),(29,1),(32,1),(72,1),(73,1)}
        50:{1,2,4,5,7}:{(29,1),(30,1),(33,1),(36,1),(72,1),(73,1),(74,1),(80,1),(131,1),(133,1),(139,1)}
        51:{3,4,5,7}:{(30,1),(34,1),(37,1),(73,1),(74,1)}
        52:{2,3,5}:{(31,1),(69,1),(75,1),(126,1)}
        53:{2,4,6}:{(32,1),(72,1),(75,1),(76,1)}
        54:{3,5,6}:{(33,1),(73,1),(76,1),(126,1),(177,1)}
        55:{2,4,5,6}:{(34,1),(74,1),(78,1),(175,1),(203,1)}
        56:{2,4,6,7}:{(35,1),(72,1),(80,1),(81,1),(129,1)}
        57:{3,6,7}:{(36,1),(73,1),(177,1)}
        58:{2,4,6,7}:{(37,1),(38,1),(74,1),(83,1),(203,1)}
        59:{2,3,5,6,7}:{(40,1),(84,1),(85,1),(98,1),(107,1),(141,1)}
        60:{1,3,6,7}:{(39,1),(42,1),(87,1),(141,1)}
        61:{1,2,5,7}:{(39,1),(40,1),(43,1),(87,1)}
        62:{2,4,5,7}:{(40,1),(44,1),(85,1),(89,1)}
        63:{1,3,4,6}:{(41,1),(42,1),(46,1),(90,1),(91,1),(97,1)}
        64:{1,3,5,6}:{(42,1),(43,1),(87,1),(90,1),(91,1),(92,1)}
        65:{1,2,4,5,6}:{(43,1),(44,1),(88,1),(91,1),(92,1),(93,1),(96,1),(150,1),(151,1),(152,1),(186,1),(208,1)}
        66:{3,4,5,6}:{(44,1),(89,1),(92,1),(93,1),(103,1),(159,1)}
        67:{1,2,4,6,7}:{(45,1),(46,1),(48,1),(86,1),(94,1),(95,1),(110,1),(152,1),(188,1)}
        68:{1,2,3,5,7}:{(45,1),(47,1),(49,1),(87,1),(94,1),(95,1),(101,1),(147,1),(153,1),(197,1),(198,1)}
        69:{1,2,5}:{(46,1),(52,1),(90,1)}
        70:{1,2,4,6}:{(47,1),(53,1),(91,1),(95,1),(96,1),(97,1),(104,1),(150,1)}
        71:{2,3,5,7}:{(48,1),(52,1),(94,1),(98,1),(99,1),(109,1),(153,1)}
        72:{2,4,7}:{(49,1),(53,1),(100,1)}
        73:{3,5,7}:{(50,1),(54,1),(57,1),(100,1)}
        74:{2,4,5,7}:{(51,1),(55,1),(58,1),(102,1)}
        75:{2,4,5}:{(52,1),(53,1),(103,1)}
        76:{3,4,6}:{(53,1),(54,1),(100,1),(103,1),(104,1)}
        77:{1,3,5,6}:{(54,1),(101,1),(104,1),(106,1),(156,1),(163,1),(164,1),(195,1)}
        78:{2,3,5,6}:{(54,1),(55,1),(102,1),(105,1),(106,1),(157,1),(196,1)}
        79:{2,4,5,6,7}:{(85,1),(107,1),(108,1)}
        80:{2,4,5,7}:{(56,1),(108,1),(109,1)}
        81:{3,4,6,7}:{(56,1),(57,1),(100,1),(109,1),(110,1),(159,1)}
        82:{1,3,6,7}:{(57,1),(101,1),(110,1),(111,1),(195,1)}
        83:{2,3,6,7}:{(57,1),(58,1),(102,1),(111,1),(196,1)}
        84:{1,2,5,6,7}:{(59,1),(61,1),(112,1),(113,1),(123,1),(137,1),(202,1)}
        85:{2,4,6,7}:{(59,1),(62,1),(114,1),(129,1)}
        86:{1,3,4,6,7}:{(60,1),(63,1),(67,1),(115,1),(116,1),(125,1),(166,1),(169,1),(177,1)}
        87:{1,3,5,7}:{(60,1),(61,1),(64,1),(116,1),(117,1)}
        88:{1,2,4,5,7}:{(61,1),(62,1),(65,1),(113,1),(116,1),(117,1),(118,1),(165,1),(172,1),(173,1),(202,1)}
        89:{3,4,5,7}:{(62,1),(66,1),(114,1),(117,1),(118,1)}
        90:{1,3,5}:{(63,1),(69,1),(119,1),(126,1)}
        91:{1,4,6}:{(64,1),(116,1),(119,1),(120,1)}
        92:{3,5,6}:{(65,1),(117,1),(120,1),(126,1),(177,1)}
        93:{1,4,5,6}:{(66,1),(118,1),(121,1),(134,1),(183,1)}
        94:{1,2,5,7}:{(67,1),(69,1),(71,1),(115,1),(123,1),(139,1),(202,1)}
        95:{1,2,4,7}:{(68,1),(70,1),(72,1),(116,1),(125,1),(131,1),(172,1)}
        96:{1,2,4,5}:{(69,1),(70,1),(75,1),(119,1),(126,1),(134,1),(175,1),(181,1)}
        97:{3,4,6}:{(70,1),(125,1),(126,1),(177,1)}
        98:{2,3,5,6}:{(71,1),(123,1),(129,1),(138,1),(177,1)}
        99:{2,4,5,7}:{(71,1),(72,1),(75,1),(129,1),(130,1)}
       100:{3,4,7}:{(72,1),(73,1),(76,1),(131,1)}
       101:{1,3,5,7}:{(73,1),(77,1),(82,1),(131,1),(133,1),(139,1),(184,1)}
       102:{2,3,5,7}:{(73,1),(74,1),(78,1),(83,1),(132,1),(133,1)}
       103:{3,4,5}:{(75,1),(76,1),(126,1),(134,1)}
       104:{1,4,6}:{(76,1),(77,1),(131,1),(134,1)}
       105:{2,3,4,6}:{(76,1),(78,1),(132,1),(135,1),(136,1)}
       106:{1,2,5,6}:{(77,1),(78,1),(133,1),(136,1),(181,1),(206,1)}
       107:{3,5,6,7}:{(79,1),(114,1),(137,1),(138,1)}
       108:{2,4,5,6}:{(80,1),(129,1),(138,1)}
       109:{3,5,7}:{(80,1),(81,1),(138,1),(139,1)}
       110:{1,4,6,7}:{(81,1),(82,1),(131,1),(139,1),(183,1)}
       111:{1,2,6,7}:{(82,1),(83,1),(133,1),(206,1)}
       112:{1,3,5,6,7}:{(84,1),(87,1),(140,1),(141,1),(143,1),(187,1)}
       113:{1,2,4,6,7}:{(84,1),(85,1),(88,1),(140,1),(141,1),(142,1),(152,1),(188,1),(189,1)}
       114:{3,4,6,7}:{(85,1),(89,1),(107,1),(141,1),(142,1),(159,1)}
       115:{1,3,5,7}:{(86,1),(90,1),(94,1),(143,1),(144,1),(153,1),(187,1)}
       116:{1,4,7}:{(87,1),(91,1),(145,1)}
       117:{3,5,7}:{(88,1),(92,1),(141,1),(145,1)}
       118:{1,4,5,7}:{(89,1),(93,1),(142,1),(146,1)}
       119:{1,4,5}:{(90,1),(91,1),(148,1)}
       120:{3,4,6}:{(91,1),(92,1),(145,1),(148,1),(150,1)}
       121:{1,3,5,6}:{(92,1),(93,1),(146,1),(149,1),(151,1),(156,1),(195,1)}
       122:{2,3,5,6}:{(92,1),(147,1),(150,1),(151,1),(157,1),(194,1),(196,1),(208,1)}
       123:{1,2,5,6}:{(94,1),(98,1),(143,1),(152,1),(164,1),(208,1)}
       124:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(144,1),(152,1),(153,1),(160,1),(191,1),(197,1)}
       125:{3,4,7}:{(95,1),(97,1),(153,1)}
       126:{3,5}:{(96,1),(97,1)}
       127:{1,3,4,6}:{(97,1),(104,1),(154,1),(156,1),(158,1),(163,1),(195,1),(200,1)}
       128:{2,3,4,6}:{(97,1),(150,1),(155,1),(157,1),(158,1),(194,1),(196,1),(209,1)}
       129:{2,4,6}:{(98,1),(99,1),(159,1)}
       130:{3,4,5,7}:{(99,1),(100,1),(103,1),(109,1),(153,1),(159,1),(160,1)}
       131:{1,4,7}:{(100,1),(101,1),(104,1)}
       132:{2,3,4,7}:{(100,1),(102,1),(105,1),(161,1)}
       133:{1,2,5,7}:{(101,1),(102,1),(106,1),(111,1),(161,1)}
       134:{1,4,5}:{(103,1),(104,1),(156,1)}
       135:{2,3,4,5}:{(103,1),(105,1),(157,1),(162,1),(209,1)}
       136:{1,2,4,6}:{(104,1),(105,1),(106,1),(161,1),(162,1),(163,1)}
       137:{1,5,6,7}:{(107,1),(142,1),(164,1)}
       138:{3,5,6}:{(108,1),(109,1),(159,1),(164,1)}
       139:{1,5,7}:{(109,1),(110,1),(164,1)}
       140:{1,4,6,7}:{(112,1),(116,1),(165,1),(166,1),(169,1)}
       141:{3,6,7}:{(113,1),(117,1),(177,1)}
       142:{1,4,6,7}:{(114,1),(118,1),(137,1),(167,1),(183,1)}
       143:{1,3,5,6}:{(115,1),(123,1),(169,1),(177,1),(201,1)}
       144:{1,4,5,7}:{(115,1),(116,1),(119,1),(169,1),(170,1)}
       145:{3,4,7}:{(116,1),(117,1),(120,1),(172,1)}
       146:{1,3,5,7}:{(117,1),(118,1),(121,1),(167,1),(171,1),(173,1)}
       147:{2,3,5,7}:{(117,1),(122,1),(168,1),(172,1),(173,1),(202,1),(204,1)}
       148:{3,4,5}:{(119,1),(120,1),(126,1),(175,1)}
       149:{1,3,4,6}:{(120,1),(121,1),(171,1),(174,1),(176,1)}
       150:{2,4,6}:{(120,1),(122,1),(172,1),(175,1)}
       151:{1,2,5,6}:{(121,1),(122,1),(173,1),(176,1),(181,1),(206,1)}
       152:{1,2,4,6}:{(123,1),(124,1),(129,1),(169,1),(177,1),(183,1),(203,1),(206,1)}
       153:{3,5,7}:{(124,1),(125,1),(126,1),(177,1)}
       154:{1,3,4,7}:{(125,1),(127,1),(131,1),(178,1),(180,1),(184,1)}
       155:{2,3,4,7}:{(125,1),(128,1),(172,1),(179,1),(180,1),(204,1)}
       156:{1,3,5}:{(126,1),(127,1),(134,1),(181,1)}
       157:{2,3,5}:{(126,1),(128,1),(175,1),(181,1)}
       158:{1,2,4,6}:{(127,1),(128,1),(180,1),(181,1),(182,1),(206,1),(207,1)}
       159:{3,4,6}:{(129,1),(130,1),(138,1),(177,1),(183,1)}
       160:{1,4,5,7}:{(130,1),(131,1),(134,1),(139,1),(178,1),(183,1)}
       161:{1,2,4,7}:{(131,1),(132,1),(133,1),(136,1),(184,1)}
       162:{1,2,4,5}:{(134,1),(135,1),(136,1),(181,1),(185,1),(207,1)}
       163:{1,3,6}:{(136,1),(184,1),(185,1)}
       164:{1,5,6}:{(138,1),(139,1),(183,1)}
       165:{1,4,5,7}:{(140,1),(186,1),(187,1)}
       166:{3,4,6,7}:{(140,1),(141,1),(145,1),(187,1),(188,1),(190,1)}
       167:{1,3,6,7}:{(141,1),(142,1),(146,1),(189,1),(195,1)}
       168:{2,3,6,7}:{(141,1),(147,1),(188,1),(189,1),(196,1)}
       169:{1,4,6}:{(143,1),(144,1),(190,1)}
       170:{3,4,5,7}:{(144,1),(145,1),(148,1),(153,1),(187,1),(190,1),(191,1)}
       171:{1,3,4,7}:{(145,1),(146,1),(149,1),(192,1)}
       172:{2,4,7}:{(145,1),(147,1),(150,1)}
       173:{1,2,5,7}:{(146,1),(147,1),(151,1),(189,1),(192,1)}
       174:{1,3,4,5}:{(148,1),(149,1),(156,1),(193,1),(200,1)}
       175:{2,4,5}:{(148,1),(150,1),(157,1)}
       176:{1,2,4,6}:{(149,1),(150,1),(151,1),(192,1),(193,1),(194,1)}
       177:{3,6}:{(152,1),(153,1)}
       178:{1,3,5,7}:{(153,1),(154,1),(156,1),(160,1),(195,1),(197,1)}
       179:{2,3,5,7}:{(153,1),(155,1),(157,1),(191,1),(196,1),(197,1)}
       180:{1,2,4,7}:{(154,1),(155,1),(158,1),(197,1),(198,1)}
       181:{1,2,5}:{(156,1),(157,1),(158,1)}
       182:{1,2,3,6}:{(158,1),(163,1),(194,1),(198,1),(199,1)}
       183:{1,4,6}:{(159,1),(160,1),(164,1),(195,1)}
       184:{1,3,7}:{(161,1),(163,1)}
       185:{1,3,5}:{(162,1),(163,1),(200,1)}
       186:{1,4,5,6}:{(165,1),(169,1),(201,1)}
       187:{3,5,7}:{(165,1),(166,1),(201,1),(202,1)}
       188:{2,4,6,7}:{(166,1),(168,1),(172,1),(202,1),(203,1)}
       189:{1,2,6,7}:{(167,1),(168,1),(173,1),(206,1)}
       190:{3,4,6}:{(169,1),(170,1),(177,1),(201,1),(203,1)}
       191:{2,4,5,7}:{(170,1),(172,1),(175,1),(179,1),(202,1),(203,1)}
       192:{1,2,4,7}:{(171,1),(172,1),(173,1),(176,1),(204,1)}
       193:{1,2,4,5}:{(174,1),(175,1),(176,1),(181,1),(205,1),(207,1)}
       194:{2,3,6}:{(176,1),(204,1),(205,1)}
       195:{1,3,6}:{(177,1),(178,1),(183,1),(206,1)}
       196:{2,3,6}:{(177,1),(179,1),(203,1),(206,1)}
       197:{1,2,5,7}:{(178,1),(179,1),(180,1),(181,1),(206,1)}
       198:{1,2,3,7}:{(180,1),(182,1),(184,1),(204,1)}
       199:{1,2,3,5}:{(181,1),(182,1),(185,1),(205,1),(207,1)}
       200:{1,3,4}:{(185,1),(207,1)}
       201:{3,5,6}:{(186,1),(187,1),(190,1),(208,1)}
       202:{2,5,7}:{(187,1),(188,1),(208,1)}
       203:{2,4,6}:{(190,1),(191,1),(196,1),(208,1)}
       204:{2,3,7}:{(192,1),(194,1)}
       205:{2,3,5}:{(193,1),(194,1),(209,1)}
       206:{1,2,6}:{(195,1),(196,1),(197,1)}
       207:{1,2,4}:{(199,1),(200,1),(209,1)}
       208:{2,5,6}:{(201,1),(202,1),(203,1)}
       209:{2,3,4}:{(205,1),(207,1)}

1850 :   0:{1,4,5,6,7}:{(1,1),(10,1),(198,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(5,1),(203,1)}
         2:{3,4,5,6}:{(7,1),(8,1),(9,1),(34,1),(167,1),(195,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(10,1),(11,1),(37,1),(195,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(29,1),(37,1),(171,1)}
         5:{2,5,6,7}:{(1,1),(11,1),(206,1)}
         6:{1,3,4,5,7}:{(13,1),(14,1),(29,1),(65,1),(69,1),(77,1),(113,1),(125,1),(163,1),(170,1)}
         7:{3,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(47,1)}
         8:{1,4,5,6}:{(2,1),(16,1),(18,1),(151,1),(187,1)}
         9:{2,4,5,6}:{(2,1),(17,1),(19,1),(178,1),(200,1)}
        10:{1,4,6,7}:{(3,1),(4,1),(16,1),(187,1)}
        11:{2,4,6,7}:{(3,1),(5,1),(17,1),(22,1),(200,1)}
        12:{1,2,5,6,7}:{(4,1),(5,1),(23,1),(24,1),(45,1),(95,1),(148,1)}
        13:{1,3,4,6}:{(6,1),(18,1),(25,1),(50,1),(141,1),(183,1),(187,1)}
        14:{1,2,4,5,7}:{(6,1),(25,1),(26,1),(45,1),(57,1),(86,1),(90,1),(99,1)}
        15:{2,3,4,5}:{(27,1),(28,1),(69,1),(108,1),(158,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(10,1),(29,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(11,1),(30,1)}
        18:{1,3,5,6}:{(8,1),(13,1),(29,1),(32,1),(34,1),(123,1),(125,1)}
        19:{2,3,5,6}:{(9,1),(27,1),(30,1),(33,1),(34,1),(158,1),(191,1)}
        20:{1,2,4,5,6}:{(8,1),(9,1),(31,1),(32,1),(33,1),(34,1),(67,1),(68,1),(74,1),(116,1),(123,1),(164,1)}
        21:{1,3,4,6,7}:{(10,1),(13,1),(29,1),(35,1),(37,1),(65,1),(72,1)}
        22:{2,3,6,7}:{(11,1),(30,1),(36,1),(37,1),(191,1)}
        23:{1,2,4,6,7}:{(10,1),(11,1),(12,1),(31,1),(36,1),(37,1),(38,1),(72,1),(164,1)}
        24:{2,3,5,6,7}:{(12,1),(37,1),(38,1),(63,1),(73,1),(122,1)}
        25:{1,2,4,6}:{(13,1),(14,1),(32,1),(39,1),(67,1)}
        26:{2,3,5,7}:{(14,1),(39,1),(41,1),(76,1),(163,1)}
        27:{2,3,4,6}:{(15,1),(19,1),(42,1),(43,1),(50,1)}
        28:{1,2,4,5}:{(15,1),(43,1),(44,1),(83,1),(91,1),(133,1)}
        29:{1,3,5,7}:{(16,1),(18,1),(21,1),(45,1),(47,1),(95,1)}
        30:{2,3,5,7}:{(17,1),(19,1),(22,1),(42,1),(46,1),(47,1)}
        31:{1,2,4,5,7}:{(16,1),(17,1),(20,1),(23,1),(45,1),(46,1),(47,1),(54,1),(86,1),(87,1),(95,1)}
        32:{1,2,5,6}:{(18,1),(25,1),(45,1),(48,1),(99,1)}
        33:{1,2,5,6}:{(19,1),(43,1),(46,1),(49,1),(133,1),(176,1)}
        34:{3,5,6}:{(20,1),(47,1),(50,1),(143,1),(183,1)}
        35:{1,2,4,6,7}:{(21,1),(25,1),(45,1),(51,1),(86,1)}
        36:{1,2,6,7}:{(22,1),(46,1),(52,1),(176,1)}
        37:{3,6,7}:{(23,1),(47,1),(183,1)}
        38:{2,4,6,7}:{(24,1),(53,1),(54,1),(86,1),(140,1)}
        39:{2,3,6}:{(25,1),(26,1),(183,1)}
        40:{1,2,3,5,7}:{(26,1),(55,1),(57,1),(99,1),(101,1)}
        41:{2,3,4,7}:{(26,1),(56,1),(57,1),(86,1),(138,1)}
        42:{2,3,4,7}:{(27,1),(30,1),(59,1),(65,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(33,1),(59,1),(60,1),(68,1)}
        44:{1,3,5}:{(28,1),(60,1),(62,1)}
        45:{1,2,5,7}:{(29,1),(32,1),(35,1),(63,1)}
        46:{1,2,5,7}:{(30,1),(33,1),(36,1),(59,1),(64,1)}
        47:{3,5,7}:{(31,1),(34,1),(37,1),(65,1)}
        48:{2,3,5,6}:{(32,1),(34,1),(39,1),(63,1),(67,1),(76,1)}
        49:{1,3,5,6}:{(33,1),(34,1),(60,1),(64,1),(68,1),(107,1),(123,1),(157,1)}
        50:{3,4,6}:{(34,1),(65,1),(67,1),(68,1),(69,1)}
        51:{2,3,6,7}:{(35,1),(37,1),(39,1),(63,1)}
        52:{1,3,6,7}:{(36,1),(37,1),(64,1),(72,1),(157,1)}
        53:{3,4,6,7}:{(37,1),(38,1),(65,1),(72,1),(73,1),(114,1)}
        54:{2,4,5,7}:{(38,1),(73,1),(74,1)}
        55:{1,2,3,6}:{(39,1),(40,1),(75,1),(128,1)}
        56:{2,3,4,6}:{(39,1),(41,1),(67,1),(75,1),(76,1),(115,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(75,1),(77,1)}
        58:{2,3,4,5,7}:{(41,1),(76,1),(78,1),(79,1),(112,1),(127,1),(163,1),(167,1),(190,1),(197,1)}
        59:{1,2,4,7}:{(42,1),(43,1),(46,1),(80,1),(87,1)}
        60:{1,3,6}:{(43,1),(44,1),(80,1)}
        61:{1,2,3,5}:{(44,1),(81,1),(83,1),(133,1),(135,1)}
        62:{1,3,4}:{(44,1),(83,1)}
        63:{2,3,5,7}:{(45,1),(47,1),(48,1),(51,1),(86,1)}
        64:{1,3,5,7}:{(46,1),(47,1),(49,1),(52,1),(80,1),(87,1),(95,1)}
        65:{3,4,7}:{(47,1),(50,1),(86,1),(87,1)}
        66:{1,2,3,5,6}:{(48,1),(49,1),(55,1),(81,1),(85,1),(89,1),(99,1),(133,1),(143,1),(148,1),(152,1),(176,1),(179,1),(183,1)}
        67:{2,4,6}:{(48,1),(50,1),(86,1),(90,1)}
        68:{1,4,6}:{(49,1),(50,1),(87,1),(91,1)}
        69:{3,4,5}:{(50,1),(90,1),(91,1),(143,1)}
        70:{1,2,3,6,7}:{(51,1),(52,1),(55,1),(85,1),(93,1),(154,1),(176,1),(183,1),(201,1)}
        71:{2,3,4,6,7}:{(51,1),(53,1),(56,1),(86,1),(93,1),(94,1),(138,1),(140,1),(183,1)}
        72:{1,4,6,7}:{(52,1),(53,1),(87,1),(95,1),(141,1)}
        73:{3,5,7}:{(53,1),(54,1),(95,1),(96,1)}
        74:{2,4,5,6}:{(54,1),(96,1),(140,1)}
        75:{1,2,4,6}:{(55,1),(56,1),(57,1),(98,1),(99,1)}
        76:{2,3,5}:{(56,1),(90,1),(99,1),(143,1)}
        77:{1,3,4,7}:{(57,1),(98,1),(101,1),(138,1),(189,1)}
        78:{1,2,4,5,7}:{(57,1),(58,1),(99,1),(101,1),(102,1),(151,1),(153,1),(189,1)}
        79:{2,3,4,6}:{(58,1),(100,1),(102,1),(140,1),(183,1),(185,1),(200,1)}
        80:{1,3,7}:{(59,1),(60,1)}
        81:{1,2,3,6}:{(60,1),(61,1),(104,1),(106,1),(161,1)}
        82:{1,3,4,6}:{(60,1),(62,1),(68,1),(105,1),(106,1),(107,1),(115,1),(157,1)}
        83:{1,2,4}:{(61,1),(62,1),(108,1)}
        84:{1,3,4,5}:{(62,1),(107,1),(109,1),(110,1),(167,1)}
        85:{1,2,3,5,7}:{(63,1),(64,1),(66,1),(70,1),(104,1),(111,1),(121,1),(156,1),(163,1),(174,1),(194,1)}
        86:{2,4,7}:{(63,1),(65,1),(67,1)}
        87:{1,4,7}:{(64,1),(65,1),(68,1)}
        88:{3,4,5,7}:{(65,1),(69,1),(73,1),(112,1),(113,1),(114,1),(163,1)}
        89:{1,2,4,6}:{(66,1),(67,1),(68,1),(111,1),(115,1),(116,1),(173,1),(193,1)}
        90:{2,4,5}:{(67,1),(69,1),(76,1)}
        91:{1,4,5}:{(68,1),(69,1),(107,1)}
        92:{3,4,5,6}:{(69,1),(114,1),(117,1),(118,1),(119,1),(168,1)}
        93:{1,2,4,6,7}:{(70,1),(71,1),(72,1),(75,1),(111,1),(120,1),(121,1),(164,1),(207,1)}
        94:{2,3,5,7}:{(71,1),(73,1),(76,1),(112,1),(121,1),(122,1),(163,1)}
        95:{1,5,7}:{(72,1),(73,1),(123,1)}
        96:{3,5,6}:{(73,1),(74,1),(114,1),(123,1)}
        97:{2,4,5,6,7}:{(74,1),(124,1),(165,1)}
        98:{1,3,4,6}:{(75,1),(77,1),(115,1),(125,1),(128,1),(173,1)}
        99:{1,2,5}:{(75,1),(76,1),(125,1)}
       100:{2,3,5,6}:{(76,1),(79,1),(117,1),(126,1),(127,1),(168,1),(206,1)}
       101:{1,3,5,7}:{(77,1),(78,1),(125,1),(128,1),(163,1)}
       102:{1,2,4,6}:{(78,1),(79,1),(126,1),(128,1),(173,1)}
       103:{2,3,4,6,7}:{(79,1),(127,1),(129,1),(165,1),(196,1),(197,1),(207,1)}
       104:{1,2,3,7}:{(80,1),(81,1),(130,1),(181,1)}
       105:{1,3,4,7}:{(80,1),(82,1),(87,1),(130,1),(131,1),(138,1)}
       106:{1,2,4,6}:{(81,1),(82,1),(83,1),(130,1),(132,1),(133,1),(176,1)}
       107:{1,3,5}:{(82,1),(91,1),(133,1),(143,1)}
       108:{2,3,4}:{(83,1),(135,1)}
       109:{1,2,4,5}:{(83,1),(84,1),(133,1),(135,1),(136,1),(178,1)}
       110:{1,3,4,6}:{(84,1),(134,1),(136,1),(137,1),(185,1)}
       111:{1,2,4,7}:{(85,1),(86,1),(87,1),(89,1),(138,1),(189,1),(202,1)}
       112:{2,4,5,7}:{(86,1),(88,1),(90,1),(94,1),(140,1)}
       113:{1,4,5,7}:{(87,1),(88,1),(91,1),(95,1),(131,1),(141,1)}
       114:{3,4,6}:{(88,1),(96,1),(140,1),(141,1),(183,1)}
       115:{3,4,6}:{(89,1),(138,1),(143,1),(183,1)}
       116:{1,2,4,5}:{(89,1),(90,1),(91,1),(99,1),(133,1),(143,1),(151,1),(178,1)}
       117:{2,4,5,6}:{(90,1),(92,1),(100,1),(140,1),(145,1)}
       118:{1,4,5,6}:{(91,1),(92,1),(134,1),(141,1),(146,1)}
       119:{3,4,5,7}:{(92,1),(142,1),(145,1),(146,1),(186,1)}
       120:{1,3,4,6,7}:{(93,1),(98,1),(138,1),(147,1),(154,1),(183,1),(187,1),(189,1),(204,1)}
       121:{1,2,5,7}:{(93,1),(94,1),(95,1),(99,1),(147,1),(148,1),(209,1)}
       122:{2,3,5,6}:{(94,1),(96,1),(140,1),(148,1),(183,1)}
       123:{1,5,6}:{(95,1),(96,1),(141,1)}
       124:{3,5,6,7}:{(96,1),(97,1),(142,1),(150,1)}
       125:{1,3,5}:{(98,1),(99,1),(143,1),(151,1)}
       126:{1,2,5,6}:{(99,1),(100,1),(102,1),(152,1),(153,1)}
       127:{2,3,5,7}:{(100,1),(103,1),(145,1),(153,1),(186,1),(209,1)}
       128:{1,3,6}:{(101,1),(102,1),(183,1)}
       129:{1,2,4,6,7}:{(102,1),(103,1),(153,1),(154,1),(189,1)}
       130:{1,2,4,7}:{(104,1),(105,1),(106,1),(155,1),(156,1)}
       131:{1,3,5,7}:{(105,1),(107,1),(113,1),(156,1),(157,1),(163,1)}
       132:{2,3,4,6}:{(106,1),(108,1),(115,1),(155,1),(158,1),(161,1),(191,1),(193,1)}
       133:{1,2,5}:{(106,1),(107,1),(158,1)}
       134:{1,3,5,6}:{(107,1),(110,1),(118,1),(157,1),(159,1),(160,1),(168,1)}
       135:{2,3,5}:{(108,1),(109,1),(161,1)}
       136:{1,2,4,6}:{(109,1),(110,1),(159,1),(161,1),(162,1),(193,1)}
       137:{1,3,4,7}:{(110,1),(160,1),(162,1),(197,1)}
       138:{3,4,7}:{(111,1),(115,1),(163,1)}
       139:{1,2,4,5,7}:{(111,1),(112,1),(113,1),(116,1),(121,1),(156,1),(163,1),(164,1),(170,1),(190,1)}
       140:{2,4,6}:{(112,1),(114,1),(122,1)}
       141:{1,4,6}:{(113,1),(114,1),(123,1),(157,1)}
       142:{3,4,6,7}:{(114,1),(119,1),(124,1),(165,1),(166,1),(196,1)}
       143:{3,5}:{(115,1),(116,1)}
       144:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(126,1),(159,1),(164,1),(168,1),(169,1),(173,1),(193,1),(198,1),(206,1)}
       145:{2,4,5,7}:{(117,1),(119,1),(127,1),(165,1)}
       146:{1,4,5,7}:{(118,1),(119,1),(160,1),(166,1)}
       147:{1,3,5,7}:{(120,1),(121,1),(125,1),(163,1),(170,1),(171,1),(208,1)}
       148:{1,2,5,6}:{(121,1),(122,1),(123,1),(164,1),(171,1),(206,1)}
       149:{2,3,5,6,7}:{(122,1),(124,1),(127,1),(165,1),(172,1),(196,1)}
       150:{1,5,6,7}:{(123,1),(124,1),(166,1)}
       151:{1,4,5}:{(125,1),(167,1),(173,1)}
       152:{1,3,5,6}:{(125,1),(126,1),(128,1),(168,1),(173,1),(174,1)}
       153:{1,2,5,7}:{(126,1),(127,1),(129,1),(174,1)}
       154:{1,3,6,7}:{(128,1),(129,1),(174,1),(196,1)}
       155:{2,3,4,7}:{(130,1),(132,1),(138,1),(175,1),(181,1),(202,1)}
       156:{1,2,5,7}:{(130,1),(131,1),(133,1),(175,1),(176,1)}
       157:{1,3,6}:{(131,1),(141,1),(176,1),(183,1)}
       158:{2,3,5}:{(132,1),(133,1),(143,1),(178,1)}
       159:{1,2,5,6}:{(133,1),(134,1),(136,1),(176,1),(179,1),(180,1)}
       160:{1,3,5,7}:{(134,1),(137,1),(146,1),(177,1),(180,1),(186,1)}
       161:{2,3,6}:{(135,1),(136,1),(181,1)}
       162:{1,2,4,7}:{(136,1),(137,1),(180,1),(181,1),(202,1)}
       163:{3,5,7}:{(138,1),(139,1),(143,1),(183,1)}
       164:{1,2,4,6}:{(139,1),(140,1),(141,1),(148,1),(176,1),(183,1),(187,1),(200,1)}
       165:{2,4,6,7}:{(140,1),(142,1),(145,1),(149,1)}
       166:{1,4,6,7}:{(141,1),(142,1),(146,1),(150,1),(177,1)}
       167:{3,4,5}:{(143,1),(151,1),(178,1),(185,1)}
       168:{3,5,6}:{(143,1),(144,1),(183,1),(185,1),(186,1)}
       169:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(153,1),(180,1),(184,1),(186,1),(189,1),(202,1),(205,1),(209,1)}
       170:{1,4,5,7}:{(147,1),(151,1),(182,1),(187,1),(189,1)}
       171:{1,3,5,6}:{(147,1),(148,1),(183,1),(187,1),(203,1)}
       172:{1,2,5,6,7}:{(148,1),(149,1),(150,1),(153,1),(184,1),(188,1),(209,1)}
       173:{1,4,6}:{(151,1),(152,1),(185,1),(189,1)}
       174:{1,3,5,7}:{(152,1),(153,1),(154,1),(186,1),(189,1)}
       175:{2,3,5,7}:{(155,1),(156,1),(158,1),(163,1),(190,1),(191,1)}
       176:{1,2,6}:{(156,1),(157,1),(191,1)}
       177:{1,3,6,7}:{(157,1),(160,1),(166,1),(192,1),(196,1)}
       178:{2,4,5}:{(158,1),(167,1),(193,1)}
       179:{2,3,5,6}:{(158,1),(159,1),(161,1),(168,1),(191,1),(193,1),(194,1),(206,1)}
       180:{1,2,5,7}:{(159,1),(160,1),(162,1),(192,1),(194,1)}
       181:{2,3,7}:{(161,1),(162,1)}
       182:{3,4,5,7}:{(163,1),(167,1),(170,1),(190,1),(195,1),(197,1),(208,1)}
       183:{3,6}:{(163,1),(164,1)}
       184:{1,2,4,6,7}:{(164,1),(165,1),(166,1),(169,1),(172,1),(192,1),(196,1),(199,1),(207,1)}
       185:{3,4,6}:{(167,1),(168,1),(173,1),(193,1),(197,1)}
       186:{3,5,7}:{(168,1),(169,1),(196,1),(197,1)}
       187:{1,4,6}:{(170,1),(171,1),(195,1)}
       188:{1,3,5,6,7}:{(171,1),(172,1),(174,1),(196,1),(199,1),(208,1)}
       189:{1,4,7}:{(173,1),(174,1),(197,1)}
       190:{2,4,5,7}:{(175,1),(178,1),(182,1),(200,1),(202,1),(209,1)}
       191:{2,3,6}:{(175,1),(176,1),(183,1),(200,1)}
       192:{1,2,6,7}:{(176,1),(177,1),(180,1),(201,1)}
       193:{2,4,6}:{(178,1),(179,1),(185,1),(202,1)}
       194:{2,3,5,7}:{(179,1),(180,1),(181,1),(186,1),(201,1),(202,1),(209,1)}
       195:{3,4,6}:{(182,1),(183,1),(187,1),(200,1),(203,1)}
       196:{3,6,7}:{(183,1),(184,1),(186,1)}
       197:{3,4,7}:{(185,1),(186,1),(189,1),(202,1)}
       198:{1,4,5,6}:{(187,1),(203,1),(205,1)}
       199:{1,4,6,7}:{(187,1),(188,1),(189,1),(204,1),(205,1)}
       200:{2,4,6}:{(190,1),(191,1),(195,1),(206,1)}
       201:{2,3,6,7}:{(191,1),(192,1),(194,1),(196,1),(207,1)}
       202:{2,4,7}:{(193,1),(194,1),(197,1)}
       203:{3,5,6}:{(195,1),(198,1),(206,1),(208,1)}
       204:{3,4,6,7}:{(195,1),(196,1),(197,1),(199,1),(207,1),(208,1)}
       205:{1,4,5,7}:{(198,1),(199,1),(208,1)}
       206:{2,5,6}:{(200,1),(203,1),(209,1)}
       207:{2,4,6,7}:{(200,1),(201,1),(202,1),(204,1),(209,1)}
       208:{3,5,7}:{(203,1),(204,1),(205,1),(209,1)}
       209:{2,5,7}:{(206,1),(207,1),(208,1)}

1851 :   0:{1,2,3,6,7}:{(2,1),(3,1),(33,1),(46,1),(81,1),(82,1),(83,1),(104,1)}
         1:{1,3,4,6,7}:{(3,1),(4,1),(13,1),(17,1),(35,1),(46,1),(49,1),(83,1),(99,1),(104,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(24,1),(27,1),(50,1),(63,1),(90,1),(91,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(8,1),(28,1),(52,1),(67,1),(94,1),(95,1),(103,1)}
         4:{1,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(27,1),(54,1),(58,1)}
         5:{1,2,3,5,6}:{(2,1),(11,1),(15,1),(33,1),(36,1),(46,1),(72,1),(73,1),(74,1),(81,1)}
         6:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(34,1),(41,1),(46,1),(80,1),(82,1),(98,1),(104,1)}
         7:{1,2,4,7}:{(2,1),(11,1),(13,1),(68,1),(98,1),(99,1)}
         8:{1,2,5,7}:{(3,1),(4,1),(12,1),(15,1),(72,1),(76,1),(101,1)}
         9:{1,4,5,7}:{(4,1),(16,1),(17,1),(70,1),(99,1)}
        10:{1,3,5,6}:{(4,1),(15,1),(17,1),(38,1),(46,1)}
        11:{1,2,4,6}:{(5,1),(7,1),(19,1),(20,1),(86,1),(87,1)}
        12:{2,3,5,7}:{(6,1),(8,1),(22,1),(23,1),(27,1),(53,1),(93,1)}
        13:{3,4,7}:{(7,1),(19,1),(27,1),(84,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(20,1),(22,1),(27,1),(28,1),(30,1),(60,1),(63,1),(85,1),(103,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(23,1),(28,1),(57,1),(92,1)}
        16:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(51,1),(58,1),(88,1)}
        17:{1,4,6}:{(9,1),(10,1),(31,1)}
        18:{1,3,5,6,7}:{(10,1),(29,1),(32,1),(58,1),(66,1),(91,1)}
        19:{3,4,6}:{(11,1),(13,1),(36,1),(46,1)}
        20:{1,2,4,5}:{(11,1),(36,1),(69,1),(70,1),(72,1)}
        21:{1,4,5,6}:{(17,1),(38,1),(39,1)}
        22:{2,4,5,7}:{(12,1),(40,1),(41,1),(69,1),(98,1)}
        23:{2,3,5,6}:{(12,1),(15,1),(41,1),(46,1),(77,1)}
        24:{1,2,3,7}:{(33,1),(43,1),(104,1)}
        25:{2,3,4,7}:{(13,1),(34,1),(43,1),(44,1),(98,1),(104,1)}
        26:{1,3,4,7}:{(13,1),(35,1),(43,1),(45,1),(99,1),(104,1)}
        27:{3,5,7}:{(13,1),(14,1),(36,1),(46,1),(96,1),(104,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(17,1),(41,1),(46,1),(48,1),(79,1),(81,1)}
        29:{1,2,5,6,7}:{(15,1),(18,1),(42,1),(47,1),(76,1),(100,1),(101,1)}
        30:{2,4,5,7}:{(16,1),(44,1),(48,1),(69,1),(76,1),(98,1)}
        31:{3,4,6}:{(16,1),(17,1),(38,1),(46,1),(48,1)}
        32:{1,4,6,7}:{(17,1),(18,1),(39,1),(49,1),(99,1)}
        33:{1,2,3,6}:{(24,1),(50,1),(52,1),(102,1)}
        34:{2,3,4,6}:{(19,1),(25,1),(52,1),(53,1),(64,1),(84,1),(86,1),(102,1)}
        35:{1,3,4,6}:{(19,1),(26,1),(52,1),(54,1),(65,1),(84,1),(87,1),(102,1)}
        36:{3,5}:{(19,1),(20,1)}
        37:{1,2,4,5,6}:{(20,1),(21,1),(28,1),(55,1),(56,1),(57,1),(59,1),(86,1),(87,1),(89,1),(92,1)}
        38:{3,5,6}:{(21,1),(31,1),(57,1),(58,1)}
        39:{1,4,5,7}:{(21,1),(32,1),(58,1)}
        40:{3,4,5,7}:{(22,1),(27,1),(51,1),(60,1),(61,1),(88,1),(93,1)}
        41:{2,4,6}:{(22,1),(23,1),(61,1)}
        42:{2,3,5,6,7}:{(23,1),(29,1),(62,1),(66,1),(90,1),(93,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(26,1),(52,1),(63,1)}
        44:{2,3,5,7}:{(25,1),(27,1),(30,1),(53,1),(63,1),(64,1)}
        45:{1,3,5,7}:{(26,1),(27,1),(54,1),(60,1),(63,1),(65,1)}
        46:{3,6}:{(27,1),(28,1)}
        47:{1,2,4,6,7}:{(28,1),(29,1),(32,1),(56,1),(62,1),(66,1),(67,1),(94,1),(95,1),(103,1)}
        48:{2,4,6}:{(30,1),(31,1),(57,1),(64,1)}
        49:{3,4,6,7}:{(31,1),(32,1),(58,1),(66,1),(67,1),(88,1)}
        50:{1,2,3,5}:{(33,1),(68,1),(72,1),(96,1)}
        51:{3,4,5}:{(36,1),(69,1),(70,1),(71,1),(96,1)}
        52:{1,2,4,6}:{(33,1),(34,1),(35,1),(43,1),(68,1),(72,1),(81,1)}
        53:{2,3,5}:{(34,1),(36,1),(69,1),(72,1),(96,1)}
        54:{1,3,5}:{(35,1),(36,1),(70,1),(72,1),(96,1)}
        55:{3,5,6}:{(36,1),(37,1),(46,1),(71,1),(75,1)}
        56:{1,2,4,5,7}:{(37,1),(39,1),(47,1),(75,1),(76,1),(78,1),(98,1),(99,1),(100,1),(101,1)}
        57:{2,5,6}:{(38,1),(48,1),(76,1)}
        58:{3,5,7}:{(38,1),(39,1),(49,1),(76,1)}
        59:{2,4,5,6}:{(41,1),(77,1),(78,1)}
        60:{1,4,5,7}:{(40,1),(45,1),(70,1),(79,1),(99,1),(101,1)}
        61:{3,4,6}:{(40,1),(41,1),(46,1),(77,1),(79,1)}
        62:{2,4,6,7}:{(41,1),(42,1),(78,1),(80,1),(98,1)}
        63:{1,2,5,7}:{(43,1),(44,1),(45,1),(72,1),(81,1)}
        64:{2,3,6}:{(44,1),(46,1),(48,1),(81,1)}
        65:{1,3,6}:{(45,1),(46,1),(79,1),(81,1)}
        66:{3,6,7}:{(46,1),(47,1),(75,1),(104,1)}
        67:{2,4,6,7}:{(48,1),(49,1),(76,1),(82,1),(98,1)}
        68:{1,2,4}:{(50,1),(84,1)}
        69:{2,4,5}:{(51,1),(53,1),(86,1)}
        70:{1,4,5}:{(51,1),(54,1),(87,1)}
        71:{3,4,6}:{(51,1),(55,1),(86,1),(87,1),(88,1),(102,1)}
        72:{1,2,5}:{(52,1),(53,1),(54,1)}
        73:{2,3,5,6}:{(53,1),(55,1),(57,1),(64,1),(86,1),(89,1),(90,1),(102,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(65,1),(87,1),(89,1),(91,1),(92,1),(102,1)}
        75:{3,5,7}:{(55,1),(56,1),(66,1),(88,1)}
        76:{2,5,7}:{(57,1),(58,1),(67,1)}
        77:{3,5,6}:{(59,1),(61,1),(92,1),(93,1)}
        78:{2,4,5,7}:{(59,1),(62,1),(93,1)}
        79:{1,4,6}:{(60,1),(61,1),(65,1),(92,1)}
        80:{3,4,6,7}:{(61,1),(62,1),(66,1),(88,1),(93,1),(94,1)}
        81:{1,2,6}:{(63,1),(64,1),(65,1)}
        82:{2,3,6,7}:{(64,1),(66,1),(67,1),(90,1),(95,1)}
        83:{1,3,6,7}:{(65,1),(66,1),(91,1),(94,1),(95,1)}
        84:{3,4}:{(68,1),(96,1)}
        85:{1,2,4,5}:{(68,1),(69,1),(70,1),(72,1),(96,1),(97,1)}
        86:{2,4,6}:{(69,1),(71,1),(73,1),(98,1)}
        87:{1,4,6}:{(70,1),(71,1),(74,1),(99,1)}
        88:{3,4,7}:{(71,1),(75,1),(98,1),(99,1),(104,1)}
        89:{1,2,5,6}:{(72,1),(73,1),(74,1),(81,1),(97,1),(100,1)}
        90:{2,3,5,7}:{(73,1),(75,1),(76,1),(82,1),(98,1),(100,1),(104,1)}
        91:{1,3,5,7}:{(74,1),(75,1),(83,1),(99,1),(100,1),(101,1),(104,1)}
        92:{1,5,6}:{(77,1),(79,1),(101,1)}
        93:{3,5,7}:{(77,1),(78,1),(80,1),(101,1)}
        94:{1,4,6,7}:{(79,1),(80,1),(83,1),(99,1),(101,1)}
        95:{1,2,6,7}:{(81,1),(82,1),(83,1),(100,1)}
        96:{3,5}:{(84,1),(85,1),(102,1)}
        97:{1,2,4,6}:{(85,1),(86,1),(87,1),(89,1),(102,1),(103,1)}
        98:{2,4,7}:{(86,1),(88,1),(90,1)}
        99:{1,4,7}:{(87,1),(88,1),(91,1)}
       100:{1,2,5,7}:{(89,1),(90,1),(91,1),(95,1),(103,1)}
       101:{1,5,7}:{(92,1),(93,1),(94,1)}
       102:{3,6}:{(96,1),(97,1),(104,1)}
       103:{1,2,4,7}:{(97,1),(98,1),(99,1),(100,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1852 :   0:{1,3,4,6,7}:{(2,1),(3,1),(14,1),(39,1),(42,1),(45,1),(70,1),(73,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(40,1),(42,1),(45,1),(71,1),(74,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(26,1),(29,1),(55,1),(56,1),(84,1),(87,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(30,1),(49,1),(85,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(8,1),(10,1),(30,1),(50,1),(86,1)}
         5:{1,3,5,6}:{(3,1),(13,1),(14,1),(36,1),(42,1)}
         6:{2,3,5,6}:{(4,1),(13,1),(15,1),(37,1),(42,1)}
         7:{1,2,3,6,7}:{(2,1),(16,1),(42,1),(70,1),(71,1),(75,1),(96,1),(101,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(4,1),(13,1),(65,1),(66,1),(95,1)}
         9:{1,4,5,7}:{(3,1),(14,1),(18,1),(89,1),(92,1)}
        10:{2,4,5,7}:{(4,1),(15,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(5,1),(22,1),(23,1),(49,1),(54,1),(78,1)}
        12:{2,3,5,6,7}:{(6,1),(22,1),(24,1),(50,1),(54,1),(79,1)}
        13:{1,2,5,6}:{(5,1),(6,1),(8,1),(26,1),(52,1),(53,1)}
        14:{1,4,6}:{(5,1),(9,1),(27,1)}
        15:{2,4,6}:{(6,1),(10,1),(28,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(25,1),(29,1),(30,1),(63,1),(78,1),(79,1),(88,1),(100,1)}
        17:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(26,1),(29,1),(30,1),(31,1),(32,1),(57,1),(63,1),(97,1),(98,1)}
        18:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(49,1),(77,1),(80,1)}
        19:{3,4,5,7}:{(10,1),(28,1),(30,1),(32,1),(50,1),(77,1),(80,1)}
        20:{1,4,5,6}:{(14,1),(33,1),(36,1)}
        21:{2,4,5,6}:{(15,1),(34,1),(37,1)}
        22:{1,2,5,6,7}:{(11,1),(12,1),(13,1),(38,1),(65,1),(66,1),(91,1)}
        23:{1,4,6,7}:{(11,1),(14,1),(33,1),(39,1),(89,1)}
        24:{2,4,6,7}:{(12,1),(15,1),(34,1),(40,1),(90,1)}
        25:{1,2,3,5,6}:{(13,1),(16,1),(41,1),(42,1),(68,1),(69,1),(72,1),(75,1),(95,1),(96,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(42,1),(43,1),(44,1),(75,1)}
        27:{3,4,6}:{(14,1),(18,1),(36,1),(42,1),(43,1)}
        28:{3,4,6}:{(15,1),(19,1),(37,1),(42,1),(44,1)}
        29:{1,2,4,7}:{(16,1),(41,1),(45,1),(89,1),(90,1),(103,1)}
        30:{3,5,7}:{(17,1),(42,1),(45,1),(72,1),(101,1),(102,1)}
        31:{2,4,5,7}:{(18,1),(43,1),(47,1),(65,1),(90,1),(93,1)}
        32:{1,4,5,7}:{(19,1),(44,1),(46,1),(66,1),(89,1),(92,1)}
        33:{1,4,5,7}:{(20,1),(23,1),(49,1)}
        34:{2,4,5,7}:{(21,1),(24,1),(50,1)}
        35:{1,2,4,5,6}:{(20,1),(21,1),(26,1),(48,1),(51,1),(52,1),(53,1),(57,1),(81,1),(82,1),(83,1)}
        36:{3,5,6}:{(20,1),(27,1),(49,1),(52,1)}
        37:{3,5,6}:{(21,1),(28,1),(50,1),(53,1)}
        38:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(26,1),(48,1),(54,1),(55,1),(56,1),(84,1),(97,1)}
        39:{3,4,6,7}:{(23,1),(27,1),(49,1),(54,1),(55,1),(77,1)}
        40:{3,4,6,7}:{(24,1),(28,1),(50,1),(54,1),(56,1),(77,1)}
        41:{1,2,4,6}:{(25,1),(29,1),(57,1),(58,1),(81,1),(82,1)}
        42:{3,6}:{(26,1),(30,1)}
        43:{2,4,6}:{(27,1),(31,1),(52,1),(60,1)}
        44:{1,4,6}:{(28,1),(32,1),(53,1),(59,1)}
        45:{3,4,7}:{(29,1),(30,1),(58,1),(104,1)}
        46:{1,3,5,7}:{(30,1),(32,1),(59,1),(61,1),(63,1),(85,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(60,1),(62,1),(63,1),(86,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(38,1),(64,1),(65,1),(66,1),(89,1),(90,1),(91,1)}
        49:{3,5,7}:{(33,1),(36,1),(39,1),(65,1)}
        50:{3,5,7}:{(34,1),(37,1),(40,1),(66,1)}
        51:{3,5,6}:{(35,1),(42,1),(64,1),(67,1),(72,1)}
        52:{2,5,6}:{(36,1),(43,1),(65,1)}
        53:{1,5,6}:{(37,1),(44,1),(66,1)}
        54:{3,6,7}:{(38,1),(42,1),(64,1),(101,1)}
        55:{2,4,6,7}:{(39,1),(43,1),(65,1),(71,1),(90,1)}
        56:{1,4,6,7}:{(40,1),(44,1),(66,1),(70,1),(89,1)}
        57:{1,2,4,5}:{(41,1),(72,1),(92,1),(93,1),(95,1)}
        58:{3,4,6}:{(41,1),(42,1),(45,1),(72,1)}
        59:{1,3,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{2,3,6}:{(42,1),(43,1),(47,1),(75,1)}
        61:{1,3,4,7}:{(45,1),(46,1),(73,1),(76,1),(89,1),(101,1)}
        62:{2,3,4,7}:{(45,1),(47,1),(74,1),(76,1),(90,1),(101,1)}
        63:{1,2,5,7}:{(46,1),(47,1),(75,1),(76,1),(95,1)}
        64:{3,5,7}:{(48,1),(51,1),(54,1),(77,1)}
        65:{2,5,7}:{(49,1),(52,1),(55,1)}
        66:{1,5,7}:{(50,1),(53,1),(56,1)}
        67:{3,4,6}:{(51,1),(77,1),(80,1),(81,1),(82,1),(99,1)}
        68:{1,3,5,6}:{(51,1),(53,1),(59,1),(78,1),(81,1),(83,1),(85,1),(99,1)}
        69:{2,3,5,6}:{(51,1),(52,1),(60,1),(79,1),(82,1),(83,1),(86,1),(99,1)}
        70:{1,3,6,7}:{(54,1),(56,1),(59,1),(78,1),(84,1)}
        71:{2,3,6,7}:{(54,1),(55,1),(60,1),(79,1),(84,1)}
        72:{3,5}:{(57,1),(58,1)}
        73:{1,3,4,6}:{(58,1),(59,1),(61,1),(81,1),(85,1),(87,1),(99,1),(104,1)}
        74:{2,3,4,6}:{(58,1),(60,1),(62,1),(82,1),(86,1),(87,1),(99,1),(104,1)}
        75:{1,2,6}:{(59,1),(60,1),(63,1)}
        76:{1,2,4,7}:{(61,1),(62,1),(63,1),(87,1),(88,1)}
        77:{3,4,7}:{(64,1),(67,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(66,1),(68,1),(70,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(69,1),(71,1),(90,1),(91,1),(101,1)}
        80:{3,4,5}:{(67,1),(72,1),(92,1),(93,1),(102,1)}
        81:{1,4,6}:{(67,1),(68,1),(89,1),(92,1)}
        82:{2,4,6}:{(67,1),(69,1),(90,1),(93,1)}
        83:{1,2,5,6}:{(68,1),(69,1),(75,1),(91,1),(94,1),(95,1)}
        84:{1,2,6,7}:{(70,1),(71,1),(75,1),(91,1)}
        85:{1,3,5}:{(72,1),(73,1),(92,1),(95,1),(102,1)}
        86:{2,3,5}:{(72,1),(74,1),(93,1),(95,1),(102,1)}
        87:{1,2,4,6}:{(73,1),(74,1),(75,1),(76,1),(95,1),(96,1),(103,1)}
        88:{1,2,3,7}:{(76,1),(96,1),(101,1)}
        89:{1,4,7}:{(77,1),(78,1),(81,1)}
        90:{2,4,7}:{(77,1),(79,1),(82,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(83,1),(84,1),(97,1)}
        92:{1,4,5}:{(80,1),(81,1),(85,1)}
        93:{2,4,5}:{(80,1),(82,1),(86,1)}
        94:{1,2,4,6}:{(81,1),(82,1),(83,1),(97,1),(98,1),(99,1)}
        95:{1,2,5}:{(85,1),(86,1),(87,1)}
        96:{1,2,3,6}:{(87,1),(88,1),(99,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(94,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
        99:{3,6}:{(94,1),(101,1),(102,1)}
       100:{1,2,3,5}:{(95,1),(96,1),(102,1),(103,1)}
       101:{3,7}:{(97,1),(99,1)}
       102:{3,5}:{(98,1),(99,1),(104,1)}
       103:{1,2,4}:{(100,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1853 :   0:{4,5,6,7}:{(3,1),(71,1),(230,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(6,1),(32,1),(137,1),(196,1),(222,1)}
         2:{2,3,4,5}:{(7,1),(8,1),(81,1),(86,1),(152,1)}
         3:{3,5,6,7}:{(0,1),(10,1),(11,1),(12,1),(228,1)}
         4:{3,4,5,7}:{(1,1),(10,1),(15,1),(16,1),(52,1),(103,1)}
         5:{1,4,5,6}:{(1,1),(14,1),(15,1),(204,1),(225,1)}
         6:{2,4,5,6}:{(1,1),(13,1),(16,1),(179,1),(214,1)}
         7:{2,3,4,6}:{(2,1),(13,1),(19,1),(20,1),(53,1)}
         8:{1,2,4,5}:{(2,1),(20,1),(21,1),(59,1),(111,1),(121,1)}
         9:{1,3,4,5}:{(22,1),(23,1),(81,1),(127,1),(186,1)}
        10:{3,4,6,7}:{(3,1),(4,1),(24,1),(25,1),(70,1),(71,1),(222,1)}
        11:{1,5,6,7}:{(3,1),(24,1),(229,1)}
        12:{2,5,6,7}:{(3,1),(25,1),(223,1)}
        13:{2,3,5,6}:{(6,1),(7,1),(27,1),(28,1),(32,1),(152,1),(201,1)}
        14:{1,3,5,6}:{(5,1),(22,1),(29,1),(30,1),(32,1),(186,1),(217,1)}
        15:{1,4,5,7}:{(4,1),(5,1),(24,1),(29,1)}
        16:{2,4,5,7}:{(4,1),(6,1),(25,1),(27,1)}
        17:{1,2,4,5,6}:{(5,1),(6,1),(28,1),(30,1),(31,1),(32,1),(77,1),(79,1),(137,1),(144,1),(192,1),(193,1),(198,1)}
        18:{1,3,4,5}:{(33,1),(34,1),(38,1),(90,1),(196,1)}
        19:{2,3,4,7}:{(7,1),(27,1),(36,1),(80,1)}
        20:{1,2,4,6}:{(7,1),(8,1),(28,1),(36,1),(37,1),(77,1)}
        21:{1,3,5}:{(8,1),(37,1),(38,1)}
        22:{1,3,4,6}:{(9,1),(14,1),(40,1),(41,1),(53,1)}
        23:{1,2,4,5}:{(9,1),(41,1),(42,1),(96,1),(113,1),(161,1)}
        24:{1,4,6,7}:{(10,1),(11,1),(15,1),(44,1),(225,1)}
        25:{2,4,6,7}:{(10,1),(12,1),(16,1),(43,1),(214,1)}
        26:{1,2,5,6,7}:{(11,1),(12,1),(45,1),(46,1),(166,1),(167,1),(209,1)}
        27:{2,3,5,7}:{(13,1),(16,1),(19,1),(43,1),(48,1),(52,1)}
        28:{1,2,5,6}:{(13,1),(20,1),(48,1),(49,1),(121,1),(181,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(40,1),(44,1),(50,1),(52,1)}
        30:{1,2,5,6}:{(14,1),(41,1),(50,1),(51,1),(161,1),(206,1)}
        31:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(45,1),(48,1),(50,1),(52,1),(103,1),(110,1),(112,1),(166,1),(167,1)}
        32:{3,5,6}:{(17,1),(52,1),(53,1),(173,1),(212,1)}
        33:{1,3,4,6}:{(18,1),(54,1),(55,1),(56,1),(171,1)}
        34:{1,2,4,5}:{(18,1),(56,1),(57,1),(59,1),(121,1),(179,1)}
        35:{1,2,3,5}:{(21,1),(57,1),(58,1),(59,1),(121,1)}
        36:{1,2,4,7}:{(19,1),(20,1),(48,1),(60,1),(110,1)}
        37:{1,3,6}:{(20,1),(21,1),(60,1)}
        38:{1,3,4}:{(21,1),(59,1)}
        39:{2,3,4,5}:{(62,1),(63,1),(67,1),(131,1),(196,1)}
        40:{1,3,4,7}:{(22,1),(29,1),(65,1),(80,1)}
        41:{1,2,4,6}:{(22,1),(23,1),(30,1),(65,1),(66,1),(79,1)}
        42:{2,3,5}:{(23,1),(66,1),(67,1)}
        43:{2,3,6,7}:{(25,1),(27,1),(68,1),(70,1),(201,1)}
        44:{1,3,6,7}:{(24,1),(29,1),(69,1),(70,1),(217,1)}
        45:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(31,1),(68,1),(69,1),(70,1),(71,1),(134,1),(135,1),(198,1)}
        46:{3,5,6,7}:{(26,1),(70,1),(71,1),(136,1),(220,1)}
        47:{3,4,5,6}:{(72,1),(73,1),(74,1),(81,1),(141,1),(147,1),(230,1)}
        48:{1,2,5,7}:{(27,1),(28,1),(36,1),(68,1),(76,1)}
        49:{1,3,5,6}:{(28,1),(32,1),(37,1),(76,1),(77,1),(90,1),(154,1),(192,1)}
        50:{1,2,5,7}:{(29,1),(30,1),(65,1),(69,1),(78,1)}
        51:{2,3,5,6}:{(30,1),(32,1),(66,1),(78,1),(79,1),(131,1),(188,1),(193,1)}
        52:{3,5,7}:{(31,1),(32,1),(70,1),(80,1)}
        53:{3,4,6}:{(32,1),(77,1),(79,1),(80,1),(81,1)}
        54:{1,3,5,6}:{(33,1),(73,1),(82,1),(83,1),(90,1),(141,1),(154,1)}
        55:{1,3,4,7}:{(33,1),(82,1),(84,1),(195,1)}
        56:{1,2,4,6}:{(33,1),(34,1),(83,1),(84,1),(85,1),(150,1)}
        57:{2,3,5}:{(34,1),(85,1),(86,1)}
        58:{1,2,3,6}:{(35,1),(37,1),(85,1),(87,1),(88,1)}
        59:{1,2,4}:{(35,1),(38,1),(86,1)}
        60:{1,3,7}:{(36,1),(37,1)}
        61:{1,3,4,6}:{(37,1),(38,1),(77,1),(88,1),(89,1),(90,1),(142,1),(154,1)}
        62:{2,3,4,6}:{(39,1),(91,1),(92,1),(93,1),(171,1)}
        63:{1,2,4,5}:{(39,1),(93,1),(94,1),(96,1),(161,1),(204,1)}
        64:{1,2,3,5}:{(42,1),(94,1),(95,1),(96,1),(161,1)}
        65:{1,2,4,7}:{(40,1),(41,1),(50,1),(97,1),(112,1)}
        66:{2,3,6}:{(41,1),(42,1),(97,1)}
        67:{2,3,4}:{(42,1),(96,1)}
        68:{1,2,6,7}:{(43,1),(48,1),(100,1),(181,1)}
        69:{1,2,6,7}:{(44,1),(50,1),(101,1),(206,1)}
        70:{3,6,7}:{(45,1),(52,1),(212,1)}
        71:{4,6,7}:{(46,1),(103,1),(227,1)}
        72:{3,4,5,7}:{(47,1),(104,1),(105,1),(106,1),(170,1),(226,1)}
        73:{1,4,5,6}:{(47,1),(54,1),(105,1),(111,1),(175,1)}
        74:{2,4,5,6}:{(47,1),(91,1),(106,1),(113,1),(176,1)}
        75:{1,2,3,5,6}:{(49,1),(51,1),(58,1),(95,1),(108,1),(109,1),(117,1),(121,1),(157,1),(161,1),(173,1),(181,1),(206,1),(209,1),(212,1)}
        76:{1,3,5,7}:{(48,1),(49,1),(52,1),(60,1),(100,1),(110,1),(166,1)}
        77:{1,4,6}:{(49,1),(53,1),(110,1),(111,1)}
        78:{2,3,5,7}:{(50,1),(51,1),(52,1),(97,1),(101,1),(112,1),(167,1)}
        79:{2,4,6}:{(51,1),(53,1),(112,1),(113,1)}
        80:{3,4,7}:{(52,1),(53,1),(110,1),(112,1)}
        81:{3,4,5}:{(53,1),(111,1),(113,1),(173,1)}
        82:{1,3,5,7}:{(54,1),(55,1),(105,1),(115,1),(116,1),(170,1)}
        83:{1,2,5,6}:{(54,1),(56,1),(116,1),(117,1),(121,1),(181,1)}
        84:{1,2,4,7}:{(55,1),(56,1),(116,1),(118,1),(178,1)}
        85:{2,3,6}:{(56,1),(57,1),(118,1)}
        86:{2,3,4}:{(57,1),(59,1)}
        87:{1,2,3,7}:{(58,1),(60,1),(118,1),(120,1)}
        88:{1,2,4,6}:{(58,1),(59,1),(61,1),(119,1),(120,1),(121,1),(181,1)}
        89:{1,3,4,7}:{(60,1),(61,1),(110,1),(120,1),(122,1),(172,1)}
        90:{1,3,5}:{(61,1),(111,1),(121,1),(173,1)}
        91:{2,3,5,6}:{(62,1),(74,1),(123,1),(124,1),(131,1),(141,1),(188,1)}
        92:{2,3,4,7}:{(62,1),(123,1),(125,1),(195,1)}
        93:{1,2,4,6}:{(62,1),(63,1),(124,1),(125,1),(126,1),(184,1)}
        94:{1,3,5}:{(63,1),(126,1),(127,1)}
        95:{1,2,3,6}:{(64,1),(66,1),(126,1),(128,1),(129,1)}
        96:{1,2,4}:{(64,1),(67,1),(127,1)}
        97:{2,3,7}:{(65,1),(66,1)}
        98:{2,3,4,6}:{(66,1),(67,1),(79,1),(129,1),(130,1),(131,1),(142,1),(188,1)}
        99:{4,5,6,7}:{(132,1),(137,1),(218,1)}
       100:{1,3,6,7}:{(68,1),(70,1),(76,1),(134,1),(154,1)}
       101:{2,3,6,7}:{(69,1),(70,1),(78,1),(135,1),(188,1)}
       102:{3,4,6,7}:{(70,1),(71,1),(80,1),(134,1),(135,1),(136,1),(147,1)}
       103:{4,5,7}:{(71,1),(136,1),(137,1)}
       104:{3,4,6,7}:{(72,1),(132,1),(138,1),(139,1),(147,1),(194,1),(218,1)}
       105:{1,4,5,7}:{(72,1),(73,1),(82,1),(138,1)}
       106:{2,4,5,7}:{(72,1),(74,1),(123,1),(139,1)}
       107:{1,2,4,5,6}:{(73,1),(74,1),(83,1),(124,1),(140,1),(141,1),(144,1),(150,1),(184,1),(198,1),(223,1),(229,1),(230,1)}
       108:{1,2,3,5,7}:{(75,1),(76,1),(78,1),(87,1),(128,1),(133,1),(143,1),(149,1),(153,1),(183,1),(187,1),(191,1),(197,1)}
       109:{1,2,4,6}:{(75,1),(77,1),(79,1),(142,1),(143,1),(144,1),(150,1),(184,1)}
       110:{1,4,7}:{(76,1),(77,1),(80,1)}
       111:{1,4,5}:{(77,1),(81,1),(90,1)}
       112:{2,4,7}:{(78,1),(79,1),(80,1)}
       113:{2,4,5}:{(79,1),(81,1),(131,1)}
       114:{3,4,5,7}:{(80,1),(81,1),(136,1),(145,1),(146,1),(147,1),(197,1),(219,1)}
       115:{1,3,6,7}:{(82,1),(138,1),(148,1),(154,1),(194,1)}
       116:{1,2,5,7}:{(82,1),(83,1),(84,1),(148,1),(149,1)}
       117:{2,3,5,6}:{(83,1),(85,1),(141,1),(149,1),(150,1),(152,1),(201,1),(223,1)}
       118:{2,3,7}:{(84,1),(85,1)}
       119:{2,3,4,6}:{(85,1),(86,1),(88,1),(142,1),(150,1),(151,1),(152,1),(201,1)}
       120:{1,2,4,7}:{(87,1),(88,1),(89,1),(151,1),(153,1)}
       121:{1,2,5}:{(88,1),(90,1),(152,1)}
       122:{1,3,5,7}:{(89,1),(90,1),(145,1),(153,1),(154,1),(197,1)}
       123:{2,3,5,7}:{(91,1),(92,1),(106,1),(155,1),(156,1),(170,1)}
       124:{1,2,5,6}:{(91,1),(93,1),(156,1),(157,1),(161,1),(206,1)}
       125:{1,2,4,7}:{(92,1),(93,1),(156,1),(158,1),(203,1)}
       126:{1,3,6}:{(93,1),(94,1),(158,1)}
       127:{1,3,4}:{(94,1),(96,1)}
       128:{1,2,3,7}:{(95,1),(97,1),(158,1),(160,1)}
       129:{1,2,4,6}:{(95,1),(96,1),(98,1),(159,1),(160,1),(161,1),(206,1)}
       130:{2,3,4,7}:{(97,1),(98,1),(112,1),(160,1),(162,1),(172,1)}
       131:{2,3,5}:{(98,1),(113,1),(161,1),(173,1)}
       132:{3,5,6,7}:{(99,1),(104,1),(163,1),(164,1),(168,1)}
       133:{1,2,3,6,7}:{(100,1),(101,1),(108,1),(165,1),(177,1),(181,1),(202,1),(206,1),(212,1)}
       134:{1,4,6,7}:{(100,1),(102,1),(110,1),(166,1),(175,1)}
       135:{2,4,6,7}:{(101,1),(102,1),(112,1),(167,1),(176,1)}
       136:{3,5,7}:{(102,1),(103,1),(166,1),(167,1),(168,1)}
       137:{4,5,6}:{(103,1),(168,1),(227,1)}
       138:{1,4,6,7}:{(104,1),(105,1),(115,1),(163,1),(175,1)}
       139:{2,4,6,7}:{(104,1),(106,1),(155,1),(164,1),(176,1)}
       140:{1,2,4,5,7}:{(105,1),(106,1),(107,1),(116,1),(156,1),(169,1),(170,1),(178,1),(203,1),(213,1),(224,1),(226,1)}
       141:{3,5,6}:{(107,1),(170,1),(171,1),(173,1),(212,1)}
       142:{3,4,6}:{(109,1),(172,1),(173,1),(212,1)}
       143:{1,2,4,7}:{(108,1),(109,1),(110,1),(112,1),(172,1),(178,1),(203,1)}
       144:{1,2,4,5}:{(109,1),(111,1),(113,1),(121,1),(161,1),(173,1),(179,1),(204,1)}
       145:{1,4,5,7}:{(110,1),(111,1),(114,1),(122,1),(166,1),(175,1)}
       146:{2,4,5,7}:{(112,1),(113,1),(114,1),(162,1),(167,1),(176,1)}
       147:{3,4,6}:{(114,1),(168,1),(175,1),(176,1),(212,1),(227,1)}
       148:{1,2,6,7}:{(115,1),(116,1),(177,1),(181,1)}
       149:{2,3,5,7}:{(116,1),(117,1),(118,1),(170,1),(177,1),(178,1),(213,1)}
       150:{2,4,6}:{(117,1),(171,1),(178,1),(179,1)}
       151:{2,3,4,7}:{(118,1),(119,1),(120,1),(172,1),(178,1),(180,1)}
       152:{2,3,5}:{(119,1),(121,1),(173,1),(179,1)}
       153:{1,2,5,7}:{(120,1),(121,1),(122,1),(180,1),(181,1)}
       154:{1,3,6}:{(122,1),(175,1),(181,1),(212,1)}
       155:{2,3,6,7}:{(123,1),(139,1),(182,1),(188,1),(194,1)}
       156:{1,2,5,7}:{(123,1),(124,1),(125,1),(182,1),(183,1)}
       157:{1,3,5,6}:{(124,1),(126,1),(141,1),(183,1),(184,1),(186,1),(217,1),(229,1)}
       158:{1,3,7}:{(125,1),(126,1)}
       159:{1,3,4,6}:{(126,1),(127,1),(129,1),(142,1),(184,1),(185,1),(186,1),(217,1)}
       160:{1,2,4,7}:{(128,1),(129,1),(130,1),(185,1),(187,1)}
       161:{1,2,5}:{(129,1),(131,1),(186,1)}
       162:{2,3,5,7}:{(130,1),(131,1),(146,1),(187,1),(188,1),(197,1)}
       163:{1,5,6,7}:{(132,1),(138,1),(192,1)}
       164:{2,5,6,7}:{(132,1),(139,1),(193,1)}
       165:{1,2,4,6,7}:{(133,1),(134,1),(135,1),(143,1),(190,1),(191,1),(198,1),(199,1),(215,1)}
       166:{1,5,7}:{(134,1),(136,1),(192,1)}
       167:{2,5,7}:{(135,1),(136,1),(193,1)}
       168:{3,5,6}:{(136,1),(137,1),(147,1),(192,1),(193,1)}
       169:{1,2,4,6,7}:{(138,1),(139,1),(140,1),(148,1),(182,1),(189,1),(194,1),(198,1),(199,1),(215,1),(218,1)}
       170:{3,5,7}:{(140,1),(141,1),(194,1),(195,1)}
       171:{3,4,6}:{(141,1),(150,1),(184,1),(195,1),(196,1)}
       172:{3,4,7}:{(142,1),(143,1),(197,1)}
       173:{3,5}:{(142,1),(144,1)}
       174:{1,2,4,5,7}:{(143,1),(144,1),(145,1),(146,1),(153,1),(187,1),(191,1),(197,1),(198,1),(200,1),(216,1),(219,1)}
       175:{1,4,6}:{(145,1),(147,1),(154,1),(192,1)}
       176:{2,4,6}:{(146,1),(147,1),(188,1),(193,1)}
       177:{2,3,6,7}:{(148,1),(149,1),(194,1),(199,1),(201,1)}
       178:{2,4,7}:{(149,1),(150,1),(195,1)}
       179:{2,4,5}:{(150,1),(152,1),(196,1)}
       180:{2,3,5,7}:{(151,1),(152,1),(153,1),(197,1),(200,1),(201,1)}
       181:{1,2,6}:{(153,1),(154,1),(201,1)}
       182:{1,2,6,7}:{(155,1),(156,1),(202,1),(206,1)}
       183:{1,3,5,7}:{(156,1),(157,1),(158,1),(170,1),(202,1),(203,1),(224,1)}
       184:{1,4,6}:{(157,1),(171,1),(203,1),(204,1)}
       185:{1,3,4,7}:{(158,1),(159,1),(160,1),(172,1),(203,1),(205,1)}
       186:{1,3,5}:{(159,1),(161,1),(173,1),(204,1)}
       187:{1,2,5,7}:{(160,1),(161,1),(162,1),(205,1),(206,1)}
       188:{2,3,6}:{(162,1),(176,1),(206,1),(212,1)}
       189:{1,2,5,6,7}:{(163,1),(164,1),(169,1),(207,1),(209,1),(213,1),(224,1)}
       190:{3,4,6,7}:{(165,1),(172,1),(208,1),(212,1),(227,1)}
       191:{1,2,5,7}:{(165,1),(166,1),(167,1),(208,1),(209,1),(213,1),(224,1)}
       192:{1,5,6}:{(166,1),(168,1),(175,1)}
       193:{2,5,6}:{(167,1),(168,1),(176,1)}
       194:{3,6,7}:{(169,1),(170,1),(212,1)}
       195:{3,4,7}:{(170,1),(171,1),(178,1),(203,1)}
       196:{3,4,5}:{(171,1),(173,1),(179,1),(204,1)}
       197:{3,5,7}:{(172,1),(173,1),(174,1),(212,1)}
       198:{1,2,4,6}:{(174,1),(175,1),(176,1),(181,1),(206,1),(209,1),(212,1),(214,1),(225,1),(227,1)}
       199:{2,4,6,7}:{(177,1),(178,1),(210,1),(213,1),(214,1)}
       200:{2,4,5,7}:{(178,1),(179,1),(180,1),(211,1),(213,1),(214,1)}
       201:{2,3,6}:{(180,1),(181,1),(212,1),(214,1)}
       202:{1,3,6,7}:{(182,1),(183,1),(194,1),(215,1),(217,1)}
       203:{1,4,7}:{(183,1),(184,1),(195,1)}
       204:{1,4,5}:{(184,1),(186,1),(196,1)}
       205:{1,3,5,7}:{(185,1),(186,1),(187,1),(197,1),(216,1),(217,1)}
       206:{1,2,6}:{(187,1),(188,1),(217,1)}
       207:{3,5,6,7}:{(189,1),(194,1),(218,1),(220,1),(221,1)}
       208:{3,5,7}:{(190,1),(191,1),(219,1),(220,1)}
       209:{1,2,5,6}:{(191,1),(192,1),(193,1),(198,1),(220,1),(223,1),(229,1)}
       210:{3,4,6,7}:{(194,1),(195,1),(199,1),(215,1),(218,1),(221,1),(222,1)}
       211:{3,4,5,7}:{(195,1),(196,1),(197,1),(200,1),(216,1),(219,1),(221,1),(222,1)}
       212:{3,6}:{(197,1),(198,1)}
       213:{2,5,7}:{(199,1),(221,1),(223,1)}
       214:{2,4,6}:{(200,1),(201,1),(222,1),(223,1)}
       215:{1,4,6,7}:{(202,1),(203,1),(210,1),(224,1),(225,1)}
       216:{1,4,5,7}:{(203,1),(204,1),(205,1),(211,1),(224,1),(225,1)}
       217:{1,3,6}:{(205,1),(206,1),(212,1),(225,1)}
       218:{4,6,7}:{(207,1),(226,1),(227,1)}
       219:{4,5,7}:{(208,1),(227,1)}
       220:{3,5,6}:{(208,1),(209,1),(212,1),(227,1)}
       221:{3,5,7}:{(210,1),(213,1),(224,1),(226,1),(228,1)}
       222:{3,4,6}:{(211,1),(212,1),(214,1),(225,1),(227,1),(228,1)}
       223:{2,5,6}:{(213,1),(214,1),(228,1)}
       224:{1,5,7}:{(215,1),(221,1),(229,1)}
       225:{1,4,6}:{(216,1),(217,1),(222,1),(229,1)}
       226:{4,5,7}:{(218,1),(221,1),(230,1)}
       227:{4,6}:{(219,1),(220,1)}
       228:{3,5,6}:{(221,1),(222,1),(223,1),(229,1),(230,1)}
       229:{1,5,6}:{(224,1),(225,1),(228,1)}
       230:{4,5,6}:{(226,1),(227,1),(228,1)}

1854 :   0:{1,2,4,5,6}:{(2,1),(3,1),(17,1),(18,1),(19,1),(42,1),(51,1),(77,1),(78,1),(81,1),(99,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(62,1),(63,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(24,1),(29,1),(30,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(6,1),(7,1),(69,1),(91,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(12,1),(43,1),(96,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(44,1),(45,1),(46,1),(81,1)}
         6:{3,5,7}:{(2,1),(3,1),(12,1),(13,1)}
         7:{3,4,6}:{(3,1),(13,1),(16,1),(17,1),(18,1),(52,1),(83,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(21,1),(52,1),(53,1),(76,1),(77,1),(94,1),(96,1),(103,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(40,1),(52,1),(56,1),(73,1),(78,1),(84,1),(96,1),(99,1)}
        10:{1,3,4,6}:{(17,1),(20,1),(21,1),(22,1),(52,1),(53,1),(83,1),(98,1)}
        11:{4,6,7}:{(4,1),(24,1),(101,1)}
        12:{3,6,7}:{(5,1),(6,1),(91,1)}
        13:{3,4,7}:{(6,1),(7,1),(29,1),(30,1),(68,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(26,1),(29,1),(31,1),(62,1),(68,1),(90,1)}
        15:{2,3,5,7}:{(6,1),(9,1),(27,1),(30,1),(31,1),(63,1),(68,1),(90,1)}
        16:{3,4,5}:{(7,1),(32,1),(33,1),(69,1),(102,1)}
        17:{1,4,6}:{(7,1),(8,1),(29,1),(32,1),(88,1),(101,1)}
        18:{2,4,6}:{(7,1),(9,1),(30,1),(33,1),(72,1),(101,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(37,1),(59,1),(70,1),(86,1)}
        20:{1,3,4,7}:{(10,1),(29,1),(35,1),(36,1),(68,1),(92,1)}
        21:{1,3,5}:{(10,1),(32,1),(37,1),(69,1),(102,1)}
        22:{1,2,4,6}:{(10,1),(36,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        23:{2,3,4,6}:{(18,1),(39,1),(40,1),(41,1),(52,1),(73,1),(83,1),(98,1)}
        24:{4,5,7}:{(11,1),(42,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(13,1),(43,1),(44,1),(45,1),(47,1),(80,1),(97,1),(98,1)}
        26:{1,3,6,7}:{(12,1),(14,1),(44,1),(46,1),(53,1),(80,1),(94,1)}
        27:{2,3,6,7}:{(12,1),(15,1),(45,1),(46,1),(73,1),(80,1),(84,1)}
        28:{3,4,5,7}:{(13,1),(16,1),(43,1),(47,1),(48,1),(49,1),(82,1),(97,1),(104,1)}
        29:{1,4,7}:{(13,1),(14,1),(17,1),(97,1)}
        30:{2,4,7}:{(13,1),(15,1),(18,1),(97,1)}
        31:{1,2,5,7}:{(14,1),(15,1),(19,1),(46,1),(50,1)}
        32:{1,4,5}:{(16,1),(17,1),(21,1),(103,1),(104,1)}
        33:{2,4,5}:{(16,1),(18,1),(40,1),(99,1),(104,1)}
        34:{1,2,4,6}:{(17,1),(18,1),(19,1),(50,1),(51,1),(52,1)}
        35:{1,3,5,7}:{(20,1),(21,1),(48,1),(53,1),(54,1),(82,1)}
        36:{1,2,4,7}:{(20,1),(22,1),(54,1),(55,1),(85,1)}
        37:{1,2,5}:{(21,1),(22,1),(56,1),(99,1)}
        38:{2,3,6}:{(22,1),(52,1),(55,1),(56,1)}
        39:{2,3,4,7}:{(23,1),(30,1),(57,1),(58,1),(68,1),(92,1)}
        40:{2,3,5}:{(23,1),(33,1),(59,1),(69,1),(102,1)}
        41:{1,2,4,6}:{(23,1),(58,1),(59,1),(60,1),(86,1),(88,1),(100,1)}
        42:{4,5,6}:{(24,1),(61,1),(101,1)}
        43:{3,5,7}:{(24,1),(25,1),(61,1),(62,1),(63,1),(102,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(62,1),(65,1),(100,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(63,1),(66,1),(93,1)}
        46:{1,2,6,7}:{(26,1),(27,1),(31,1),(70,1),(86,1)}
        47:{3,4,6}:{(28,1),(61,1),(65,1),(66,1),(91,1),(101,1)}
        48:{1,4,5,7}:{(28,1),(29,1),(32,1),(35,1),(62,1),(65,1)}
        49:{2,4,5,7}:{(28,1),(30,1),(33,1),(57,1),(63,1),(66,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(68,1)}
        51:{1,2,4,5}:{(32,1),(33,1),(34,1),(37,1),(59,1),(69,1),(72,1),(88,1)}
        52:{3,6}:{(34,1),(68,1),(69,1)}
        53:{1,3,6}:{(35,1),(65,1),(70,1),(91,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(37,1),(70,1),(71,1)}
        55:{2,3,7}:{(36,1),(38,1),(68,1)}
        56:{2,3,5}:{(37,1),(38,1),(69,1),(72,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(49,1),(73,1),(74,1),(82,1)}
        58:{1,2,4,7}:{(39,1),(41,1),(74,1),(75,1),(95,1)}
        59:{1,2,5}:{(40,1),(41,1),(76,1),(103,1)}
        60:{1,3,6}:{(41,1),(52,1),(75,1),(76,1)}
        61:{3,5,6}:{(42,1),(43,1),(47,1),(77,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(77,1),(103,1)}
        63:{2,5,7}:{(43,1),(45,1),(78,1),(99,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(50,1),(79,1),(80,1),(81,1),(97,1)}
        65:{1,4,6}:{(47,1),(48,1),(53,1),(77,1)}
        66:{2,4,6}:{(47,1),(49,1),(73,1),(78,1)}
        67:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(51,1),(54,1),(74,1),(79,1),(81,1),(82,1),(85,1),(95,1),(97,1),(99,1),(103,1),(104,1)}
        68:{3,7}:{(50,1),(52,1)}
        69:{3,5}:{(51,1),(52,1),(83,1)}
        70:{1,2,6}:{(53,1),(54,1),(84,1)}
        71:{2,3,5,7}:{(54,1),(55,1),(56,1),(82,1),(84,1),(85,1),(99,1)}
        72:{2,4}:{(56,1),(83,1)}
        73:{2,3,6}:{(57,1),(66,1),(86,1),(91,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(86,1),(87,1)}
        75:{1,3,7}:{(58,1),(60,1),(68,1)}
        76:{1,3,5}:{(59,1),(60,1),(69,1),(88,1)}
        77:{1,5,6}:{(61,1),(62,1),(65,1)}
        78:{2,5,6}:{(61,1),(63,1),(66,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(89,1),(90,1)}
        80:{3,6,7}:{(64,1),(68,1),(90,1),(91,1)}
        81:{1,2,4,6}:{(65,1),(66,1),(67,1),(70,1),(86,1),(89,1),(91,1),(93,1),(100,1),(101,1)}
        82:{3,5,7}:{(67,1),(68,1),(69,1),(91,1),(92,1),(102,1)}
        83:{3,4}:{(69,1),(72,1),(88,1)}
        84:{2,3,6}:{(70,1),(71,1),(91,1),(93,1)}
        85:{2,4,7}:{(71,1),(72,1),(92,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{1,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(94,1),(95,1),(103,1)}
        88:{1,4}:{(76,1),(83,1)}
        89:{1,2,5,6}:{(77,1),(78,1),(79,1),(81,1),(96,1),(99,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{3,6}:{(81,1),(82,1)}
        92:{3,4,7}:{(82,1),(83,1),(85,1),(95,1),(97,1),(98,1)}
        93:{2,4,6}:{(84,1),(85,1),(98,1),(99,1)}
        94:{1,3,6}:{(86,1),(87,1),(91,1),(100,1)}
        95:{1,4,7}:{(87,1),(88,1),(92,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(91,1),(101,1),(102,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{3,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(102,1)}
        99:{2,5}:{(93,1),(102,1)}
       100:{1,4,6}:{(94,1),(95,1),(98,1),(103,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{3,5}:{(98,1),(99,1),(103,1),(104,1)}
       103:{1,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1855 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(8,1),(22,1),(25,1),(28,1)}
         2:{1,2,3,5}:{(0,1),(7,1),(8,1)}
         3:{1,3,4,5}:{(7,1),(9,1),(24,1)}
         4:{1,2,3,4}:{(10,1)}
         5:{1,2,3,5}:{(1,1),(12,1)}
         6:{1,2,3,4,7}:{(1,1),(14,1),(18,1),(38,1),(44,1)}
         7:{1,2,4,5}:{(2,1),(3,1),(16,1),(17,1)}
         8:{1,2,3,6}:{(2,1),(17,1),(18,1)}
         9:{1,3,4,6}:{(3,1),(17,1),(19,1),(20,1),(41,1)}
        10:{1,2,3,5}:{(4,1),(21,1),(22,1)}
        11:{2,3,4,5}:{(21,1),(23,1),(24,1)}
        12:{1,2,4,5}:{(5,1),(24,1),(25,1)}
        13:{1,2,3,5,6}:{(5,1),(8,1),(22,1),(25,1),(27,1),(28,1),(33,1),(55,1),(58,1),(63,1)}
        14:{1,2,3,5,7}:{(5,1),(6,1),(26,1),(28,1)}
        15:{3,4,5,6}:{(29,1),(30,1),(31,1),(58,1),(91,1)}
        16:{2,3,4,5}:{(7,1),(24,1),(32,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(9,1),(32,1),(33,1),(34,1)}
        18:{1,2,3,7}:{(8,1),(34,1)}
        19:{1,3,5,6}:{(9,1),(29,1),(33,1),(35,1),(58,1)}
        20:{1,3,4,7}:{(9,1),(34,1),(35,1),(59,1)}
        21:{1,2,4,5}:{(10,1),(11,1),(36,1),(37,1)}
        22:{1,2,3,6}:{(10,1),(37,1),(38,1)}
        23:{2,3,4,6}:{(11,1),(37,1),(39,1),(40,1),(41,1)}
        24:{3,4,5}:{(12,1),(41,1)}
        25:{1,2,4,6}:{(12,1),(13,1),(41,1),(44,1)}
        26:{1,2,4,5,7}:{(12,1),(14,1),(42,1),(44,1),(45,1),(79,1)}
        27:{1,2,3,5,7}:{(13,1),(18,1),(38,1),(44,1),(46,1),(52,1),(72,1),(75,1),(79,1)}
        28:{1,2,3,6}:{(14,1),(45,1)}
        29:{1,4,5,6}:{(15,1),(19,1),(47,1)}
        30:{2,4,5,6}:{(15,1),(39,1),(48,1)}
        31:{3,4,5,7}:{(15,1),(47,1),(48,1),(49,1),(75,1),(98,1)}
        32:{2,3,4,6}:{(16,1),(17,1),(41,1),(50,1),(51,1)}
        33:{1,2,5,6}:{(17,1),(19,1),(50,1),(52,1)}
        34:{1,2,4,7}:{(17,1),(18,1),(20,1),(51,1),(52,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(47,1),(52,1),(53,1),(75,1)}
        36:{1,3,4,5}:{(21,1),(24,1),(54,1)}
        37:{1,2,4,6}:{(21,1),(22,1),(23,1),(54,1),(55,1),(56,1)}
        38:{1,2,3,7}:{(22,1),(56,1)}
        39:{2,3,5,6}:{(23,1),(30,1),(55,1),(57,1),(58,1)}
        40:{2,3,4,7}:{(23,1),(56,1),(57,1),(59,1)}
        41:{3,4,6}:{(24,1),(25,1),(58,1),(59,1)}
        42:{3,4,5,7}:{(24,1),(26,1),(59,1),(60,1),(90,1)}
        43:{1,2,4,5,6}:{(25,1),(29,1),(30,1),(33,1),(55,1),(58,1),(61,1),(63,1),(67,1),(85,1),(91,1)}
        44:{1,2,4,7}:{(25,1),(27,1),(59,1)}
        45:{1,2,4,6}:{(26,1),(28,1),(60,1),(63,1)}
        46:{1,2,3,6,7}:{(27,1),(28,1),(62,1),(69,1),(87,1),(89,1)}
        47:{1,4,5,7}:{(29,1),(31,1),(35,1),(64,1)}
        48:{2,4,5,7}:{(30,1),(31,1),(57,1),(65,1)}
        49:{3,4,6,7}:{(31,1),(64,1),(65,1),(66,1),(89,1),(102,1)}
        50:{2,3,5,6}:{(32,1),(33,1),(58,1),(67,1),(68,1)}
        51:{2,3,4,7}:{(32,1),(34,1),(59,1),(68,1)}
        52:{1,2,5,7}:{(33,1),(34,1),(35,1),(68,1),(69,1)}
        53:{1,3,6,7}:{(35,1),(64,1),(69,1),(89,1)}
        54:{1,3,4,6}:{(36,1),(37,1),(41,1),(70,1),(71,1)}
        55:{1,2,5,6}:{(37,1),(39,1),(70,1),(72,1)}
        56:{1,2,4,7}:{(37,1),(38,1),(40,1),(71,1),(72,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(48,1),(72,1),(73,1),(75,1)}
        58:{3,5,6}:{(41,1),(43,1),(75,1)}
        59:{3,4,7}:{(41,1),(44,1),(75,1)}
        60:{3,4,6}:{(42,1),(45,1),(77,1)}
        61:{1,2,4,5,7}:{(43,1),(44,1),(47,1),(48,1),(52,1),(72,1),(75,1),(78,1),(79,1),(83,1),(94,1),(98,1)}
        62:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(76,1),(79,1)}
        63:{1,2,5,6}:{(45,1),(77,1),(79,1)}
        64:{1,4,6,7}:{(47,1),(49,1),(53,1),(80,1)}
        65:{2,4,6,7}:{(48,1),(49,1),(73,1),(81,1)}
        66:{3,5,6,7}:{(49,1),(80,1),(81,1),(82,1)}
        67:{2,4,5,6}:{(50,1),(74,1),(83,1)}
        68:{2,3,5,7}:{(50,1),(51,1),(52,1),(75,1),(83,1),(84,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(84,1)}
        70:{1,3,5,6}:{(54,1),(55,1),(58,1),(85,1),(86,1)}
        71:{1,3,4,7}:{(54,1),(56,1),(59,1),(86,1)}
        72:{1,2,5,7}:{(55,1),(56,1),(57,1),(86,1),(87,1)}
        73:{2,3,6,7}:{(57,1),(65,1),(87,1),(89,1)}
        74:{3,4,5,6}:{(58,1),(67,1),(85,1),(88,1),(91,1)}
        75:{3,5,7}:{(58,1),(59,1),(61,1),(89,1)}
        76:{3,4,6,7}:{(59,1),(60,1),(62,1),(89,1),(90,1),(102,1)}
        77:{3,5,6}:{(60,1),(63,1),(90,1),(91,1)}
        78:{1,2,4,6,7}:{(61,1),(64,1),(65,1),(69,1),(87,1),(89,1),(92,1),(93,1),(100,1),(102,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(90,1)}
        80:{1,5,6,7}:{(64,1),(66,1)}
        81:{2,5,6,7}:{(65,1),(66,1)}
        82:{4,5,6,7}:{(66,1),(102,1)}
        83:{2,4,5,7}:{(67,1),(68,1),(88,1),(93,1)}
        84:{2,3,6,7}:{(68,1),(69,1),(89,1),(93,1)}
        85:{1,4,5,6}:{(70,1),(74,1),(94,1)}
        86:{1,3,5,7}:{(70,1),(71,1),(72,1),(75,1),(94,1),(95,1)}
        87:{1,2,6,7}:{(72,1),(73,1),(95,1)}
        88:{3,4,5,7}:{(74,1),(75,1),(83,1),(94,1),(96,1),(98,1)}
        89:{3,6,7}:{(75,1),(78,1)}
        90:{3,5,7}:{(76,1),(77,1),(79,1),(98,1)}
        91:{4,5,6}:{(77,1),(98,1)}
        92:{1,2,5,6,7}:{(78,1),(79,1),(80,1),(81,1),(97,1),(99,1),(103,1)}
        93:{2,4,6,7}:{(83,1),(84,1),(96,1),(99,1)}
        94:{1,4,5,7}:{(85,1),(86,1),(88,1),(100,1)}
        95:{1,3,6,7}:{(86,1),(87,1),(89,1),(100,1)}
        96:{3,4,6,7}:{(88,1),(89,1),(93,1),(100,1),(101,1),(102,1)}
        97:{3,5,6,7}:{(89,1),(90,1),(92,1),(102,1)}
        98:{4,5,7}:{(90,1),(91,1),(102,1)}
        99:{2,5,6,7}:{(93,1),(101,1)}
       100:{1,4,6,7}:{(94,1),(95,1),(96,1),(103,1)}
       101:{3,5,6,7}:{(96,1),(99,1),(103,1),(104,1)}
       102:{4,6,7}:{(97,1),(98,1)}
       103:{1,5,6,7}:{(100,1),(101,1)}
       104:{4,5,6,7}:{(101,1),(102,1)}

1856 :   0:{2,3,4,5,7}:{(1,1),(2,1),(17,1),(54,1),(114,1),(128,1),(129,1),(169,1),(177,1),(179,1)}
         1:{2,3,4,6}:{(0,1),(6,1),(8,1),(97,1),(189,1),(194,1),(195,1)}
         2:{1,2,4,5,7}:{(0,1),(8,1),(9,1),(34,1),(39,1),(93,1),(98,1),(99,1)}
         3:{2,4,5,6,7}:{(10,1),(44,1),(199,1)}
         4:{1,3,4,5,7}:{(11,1),(12,1),(21,1),(50,1),(69,1),(130,1),(167,1),(168,1),(177,1),(200,1)}
         5:{3,4,5,6}:{(14,1),(15,1),(16,1),(65,1),(168,1),(201,1)}
         6:{2,3,5,6}:{(1,1),(16,1),(17,1),(18,1),(65,1),(114,1),(196,1)}
         7:{2,3,4,6,7}:{(1,1),(17,1),(19,1),(44,1),(102,1),(128,1),(159,1)}
         8:{1,2,4,6}:{(1,1),(2,1),(18,1),(20,1),(67,1)}
         9:{1,3,5,7}:{(2,1),(20,1),(21,1),(69,1),(177,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(23,1),(206,1)}
        11:{1,3,4,6}:{(4,1),(27,1),(29,1),(141,1),(158,1),(194,1),(207,1)}
        12:{1,2,4,5,7}:{(4,1),(29,1),(30,1),(34,1),(80,1),(93,1),(142,1),(143,1)}
        13:{1,2,3,5,7}:{(9,1),(30,1),(33,1),(34,1),(93,1)}
        14:{3,4,5,7}:{(5,1),(22,1),(36,1),(37,1),(96,1)}
        15:{1,4,5,6}:{(5,1),(35,1),(36,1),(187,1),(207,1)}
        16:{2,4,5,6}:{(5,1),(6,1),(37,1),(143,1),(189,1)}
        17:{2,3,5,7}:{(6,1),(7,1),(37,1),(39,1),(96,1),(181,1)}
        18:{1,2,5,6}:{(6,1),(8,1),(39,1),(40,1),(93,1)}
        19:{1,2,4,6,7}:{(7,1),(8,1),(39,1),(41,1),(98,1)}
        20:{1,3,6}:{(8,1),(9,1),(194,1)}
        21:{1,3,4,7}:{(9,1),(34,1),(42,1),(98,1),(151,1)}
        22:{3,4,6,7}:{(10,1),(14,1),(43,1),(44,1),(102,1),(201,1)}
        23:{1,5,6,7}:{(10,1),(43,1),(209,1)}
        24:{2,3,5,6,7}:{(10,1),(17,1),(44,1),(45,1),(102,1),(170,1)}
        25:{1,4,5,6,7}:{(46,1),(104,1),(161,1)}
        26:{3,4,5,6}:{(47,1),(48,1),(49,1),(110,1),(129,1),(180,1)}
        27:{1,3,5,6}:{(11,1),(48,1),(50,1),(51,1),(69,1),(110,1),(209,1)}
        28:{1,3,4,6,7}:{(11,1),(50,1),(52,1),(104,1),(163,1),(167,1),(197,1)}
        29:{1,2,4,6}:{(11,1),(12,1),(51,1),(53,1),(112,1)}
        30:{2,3,5,7}:{(12,1),(53,1),(54,1),(114,1),(177,1)}
        31:{2,3,4,5}:{(55,1),(56,1),(121,1),(168,1),(176,1)}
        32:{1,3,4,5}:{(57,1),(58,1),(118,1),(129,1),(174,1)}
        33:{1,2,3,6}:{(13,1),(20,1),(53,1),(61,1)}
        34:{1,2,4,7}:{(13,1),(21,1),(54,1),(61,1)}
        35:{1,3,5,6}:{(15,1),(57,1),(62,1),(63,1),(65,1),(174,1),(203,1)}
        36:{1,4,5,7}:{(14,1),(15,1),(43,1),(62,1)}
        37:{2,4,5,7}:{(14,1),(16,1),(17,1),(44,1)}
        38:{1,2,4,5,6}:{(15,1),(16,1),(18,1),(63,1),(64,1),(65,1),(67,1),(124,1),(127,1),(161,1),(178,1),(196,1)}
        39:{1,2,5,7}:{(17,1),(18,1),(19,1),(66,1)}
        40:{1,3,5,6}:{(18,1),(20,1),(65,1),(66,1),(67,1),(69,1)}
        41:{1,3,6,7}:{(19,1),(20,1),(66,1),(102,1)}
        42:{1,3,4,6}:{(20,1),(21,1),(61,1),(67,1),(69,1),(122,1)}
        43:{1,4,6,7}:{(22,1),(23,1),(36,1),(70,1),(207,1)}
        44:{2,4,6,7}:{(22,1),(24,1),(37,1),(189,1)}
        45:{1,2,5,6,7}:{(23,1),(24,1),(39,1),(71,1),(72,1),(154,1),(181,1)}
        46:{3,5,6,7}:{(25,1),(73,1),(75,1),(182,1)}
        47:{3,4,5,7}:{(26,1),(73,1),(77,1),(78,1),(140,1)}
        48:{1,4,5,6}:{(26,1),(27,1),(77,1),(99,1),(158,1)}
        49:{2,4,5,6}:{(26,1),(76,1),(78,1),(156,1),(195,1)}
        50:{1,3,5,7}:{(27,1),(28,1),(77,1),(80,1),(140,1),(205,1)}
        51:{1,2,5,6}:{(27,1),(29,1),(80,1),(81,1),(93,1)}
        52:{1,2,4,6,7}:{(28,1),(29,1),(80,1),(82,1),(142,1)}
        53:{2,3,6}:{(29,1),(30,1),(194,1)}
        54:{2,3,4,7}:{(30,1),(34,1),(83,1),(142,1),(151,1)}
        55:{2,3,4,6}:{(31,1),(76,1),(84,1),(85,1),(141,1)}
        56:{1,2,4,5}:{(31,1),(85,1),(86,1),(146,1),(187,1),(191,1)}
        57:{1,3,4,6}:{(32,1),(35,1),(87,1),(88,1),(97,1)}
        58:{1,2,4,5}:{(32,1),(88,1),(89,1),(146,1),(156,1),(191,1)}
        59:{1,2,3,5,6}:{(33,1),(40,1),(81,1),(90,1),(91,1),(93,1),(95,1),(139,1),(145,1),(152,1),(154,1),(191,1),(194,1),(208,1)}
        60:{1,2,3,6,7}:{(33,1),(41,1),(82,1),(90,1),(92,1),(132,1),(183,1),(194,1),(208,1)}
        61:{1,2,4,6}:{(33,1),(34,1),(42,1),(83,1),(93,1)}
        62:{1,3,5,7}:{(35,1),(36,1),(70,1),(87,1),(94,1),(96,1)}
        63:{1,2,5,6}:{(35,1),(88,1),(94,1),(95,1),(191,1),(208,1)}
        64:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(39,1),(71,1),(94,1),(96,1),(98,1),(134,1),(155,1),(181,1)}
        65:{3,5,6}:{(38,1),(96,1),(97,1),(152,1),(194,1)}
        66:{1,3,5,7}:{(39,1),(40,1),(41,1),(96,1),(98,1)}
        67:{1,4,6}:{(40,1),(97,1),(98,1),(99,1)}
        68:{1,3,4,6,7}:{(41,1),(42,1),(92,1),(98,1),(100,1),(133,1),(151,1),(158,1),(194,1)}
        69:{1,3,5}:{(42,1),(93,1),(99,1),(152,1)}
        70:{1,3,6,7}:{(43,1),(62,1),(101,1),(102,1),(203,1)}
        71:{1,2,4,6,7}:{(43,1),(44,1),(45,1),(64,1),(101,1),(102,1),(103,1),(159,1),(178,1)}
        72:{1,3,5,6,7}:{(45,1),(66,1),(102,1),(103,1),(131,1),(160,1)}
        73:{3,4,6,7}:{(46,1),(47,1),(104,1),(105,1),(163,1),(180,1)}
        74:{1,3,5,6,7}:{(46,1),(50,1),(104,1),(106,1),(131,1),(163,1)}
        75:{2,5,6,7}:{(46,1),(105,1),(196,1)}
        76:{2,3,5,6}:{(49,1),(55,1),(107,1),(108,1),(110,1),(176,1),(204,1)}
        77:{1,4,5,7}:{(47,1),(48,1),(50,1),(104,1)}
        78:{2,4,5,7}:{(47,1),(49,1),(105,1),(107,1)}
        79:{1,2,4,5,6}:{(48,1),(49,1),(51,1),(108,1),(109,1),(110,1),(112,1),(124,1),(166,1),(178,1),(199,1),(209,1)}
        80:{1,2,5,7}:{(50,1),(51,1),(52,1),(111,1)}
        81:{2,3,5,6}:{(51,1),(53,1),(110,1),(111,1),(112,1),(114,1)}
        82:{2,3,6,7}:{(52,1),(53,1),(111,1),(163,1)}
        83:{2,3,4,6}:{(53,1),(54,1),(61,1),(112,1),(114,1),(122,1)}
        84:{2,3,4,7}:{(55,1),(107,1),(116,1),(167,1)}
        85:{1,2,4,6}:{(55,1),(56,1),(108,1),(116,1),(117,1),(166,1)}
        86:{1,3,5}:{(56,1),(117,1),(118,1)}
        87:{1,3,4,7}:{(57,1),(62,1),(119,1),(128,1)}
        88:{1,2,4,6}:{(57,1),(58,1),(63,1),(119,1),(120,1),(127,1)}
        89:{2,3,5}:{(58,1),(120,1),(121,1)}
        90:{1,2,3,5,7}:{(59,1),(60,1),(66,1),(111,1),(123,1),(125,1),(126,1),(165,1),(171,1),(177,1),(202,1)}
        91:{1,2,4,6}:{(59,1),(67,1),(112,1),(122,1),(123,1),(124,1),(127,1),(166,1)}
        92:{1,2,4,6,7}:{(60,1),(61,1),(68,1),(113,1),(123,1),(125,1),(159,1),(178,1),(197,1)}
        93:{1,2,5}:{(61,1),(69,1),(114,1)}
        94:{1,2,5,7}:{(62,1),(63,1),(101,1),(119,1),(126,1)}
        95:{2,3,5,6}:{(63,1),(65,1),(120,1),(126,1),(127,1),(176,1),(196,1),(204,1)}
        96:{3,5,7}:{(64,1),(65,1),(102,1),(128,1)}
        97:{3,4,6}:{(65,1),(67,1),(127,1),(128,1),(129,1)}
        98:{1,4,7}:{(66,1),(67,1),(128,1)}
        99:{1,4,5}:{(67,1),(69,1),(129,1)}
       100:{1,3,5,7}:{(68,1),(69,1),(125,1),(130,1),(131,1),(160,1),(177,1)}
       101:{1,2,6,7}:{(70,1),(94,1),(132,1),(208,1)}
       102:{3,6,7}:{(71,1),(96,1),(194,1)}
       103:{1,4,6,7}:{(72,1),(98,1),(133,1),(134,1),(158,1)}
       104:{1,4,6,7}:{(73,1),(74,1),(77,1),(158,1)}
       105:{2,4,6,7}:{(73,1),(75,1),(78,1),(135,1),(195,1)}
       106:{1,2,5,6,7}:{(74,1),(75,1),(80,1),(136,1),(137,1),(154,1),(205,1)}
       107:{2,3,5,7}:{(76,1),(78,1),(84,1),(135,1),(138,1),(140,1)}
       108:{1,2,5,6}:{(76,1),(85,1),(138,1),(139,1),(191,1),(208,1)}
       109:{1,2,4,5,7}:{(77,1),(78,1),(79,1),(80,1),(136,1),(138,1),(140,1),(142,1),(185,1),(186,1),(205,1)}
       110:{3,5,6}:{(79,1),(140,1),(141,1),(152,1),(194,1)}
       111:{2,3,5,7}:{(80,1),(81,1),(82,1),(140,1),(142,1)}
       112:{2,4,6}:{(81,1),(141,1),(142,1),(143,1)}
       113:{2,3,4,6,7}:{(82,1),(83,1),(92,1),(142,1),(144,1),(151,1),(184,1),(189,1),(194,1)}
       114:{2,3,5}:{(83,1),(93,1),(143,1),(152,1)}
       115:{1,2,3,5}:{(86,1),(89,1),(145,1),(146,1),(191,1)}
       116:{1,2,4,7}:{(84,1),(85,1),(138,1),(147,1),(186,1)}
       117:{1,3,6}:{(85,1),(86,1),(147,1)}
       118:{1,3,4}:{(86,1),(146,1)}
       119:{1,2,4,7}:{(87,1),(88,1),(94,1),(149,1),(155,1)}
       120:{2,3,6}:{(88,1),(89,1),(149,1)}
       121:{2,3,4}:{(89,1),(146,1)}
       122:{3,4,6}:{(91,1),(151,1),(152,1),(194,1)}
       123:{1,2,4,7}:{(90,1),(91,1),(98,1),(142,1),(151,1),(155,1),(186,1)}
       124:{1,2,4,5}:{(91,1),(93,1),(99,1),(143,1),(152,1),(156,1),(187,1),(191,1)}
       125:{1,2,5,7}:{(92,1),(93,1),(100,1),(144,1),(154,1),(181,1),(205,1)}
       126:{2,3,5,7}:{(94,1),(95,1),(96,1),(132,1),(149,1),(155,1),(181,1)}
       127:{2,4,6}:{(95,1),(97,1),(155,1),(156,1)}
       128:{3,4,7}:{(96,1),(97,1),(98,1),(155,1)}
       129:{3,4,5}:{(97,1),(99,1),(152,1),(156,1)}
       130:{1,4,5,7}:{(98,1),(99,1),(100,1),(157,1),(158,1)}
       131:{1,3,5,6}:{(100,1),(154,1),(158,1),(182,1),(194,1)}
       132:{2,3,6,7}:{(101,1),(102,1),(126,1),(159,1),(204,1)}
       133:{3,4,6,7}:{(102,1),(103,1),(128,1),(159,1),(160,1),(180,1)}
       134:{1,4,5,7}:{(103,1),(160,1),(161,1)}
       135:{2,3,6,7}:{(105,1),(107,1),(162,1),(163,1),(204,1)}
       136:{1,2,4,6,7}:{(104,1),(105,1),(106,1),(109,1),(162,1),(163,1),(164,1),(178,1),(197,1)}
       137:{2,3,5,6,7}:{(106,1),(111,1),(163,1),(164,1),(170,1),(198,1)}
       138:{1,2,5,7}:{(107,1),(108,1),(116,1),(162,1),(165,1)}
       139:{1,3,5,6}:{(108,1),(110,1),(117,1),(165,1),(166,1),(174,1),(203,1),(209,1)}
       140:{3,5,7}:{(109,1),(110,1),(163,1),(167,1)}
       141:{3,4,6}:{(110,1),(112,1),(166,1),(167,1),(168,1)}
       142:{2,4,7}:{(111,1),(112,1),(167,1)}
       143:{2,4,5}:{(112,1),(114,1),(168,1)}
       144:{2,3,5,7}:{(113,1),(114,1),(125,1),(169,1),(170,1),(177,1),(198,1)}
       145:{1,2,3,6}:{(115,1),(117,1),(120,1),(171,1),(172,1)}
       146:{1,2,4}:{(115,1),(118,1),(121,1)}
       147:{1,3,7}:{(116,1),(117,1)}
       148:{1,3,4,6}:{(117,1),(118,1),(122,1),(166,1),(172,1),(173,1),(174,1),(203,1)}
       149:{2,3,7}:{(119,1),(120,1)}
       150:{2,3,4,6}:{(120,1),(121,1),(122,1),(127,1),(172,1),(175,1),(176,1),(204,1)}
       151:{3,4,7}:{(122,1),(123,1),(177,1)}
       152:{3,5}:{(122,1),(124,1)}
       153:{1,2,4,5,7}:{(123,1),(124,1),(125,1),(130,1),(169,1),(177,1),(178,1),(179,1),(200,1),(202,1)}
       154:{1,2,5,6}:{(125,1),(131,1),(170,1),(178,1),(196,1),(209,1)}
       155:{2,4,7}:{(126,1),(127,1),(128,1)}
       156:{2,4,5}:{(127,1),(129,1),(176,1)}
       157:{3,4,5,7}:{(128,1),(129,1),(130,1),(160,1),(177,1),(179,1),(180,1)}
       158:{1,4,6}:{(130,1),(131,1),(180,1)}
       159:{2,4,6,7}:{(132,1),(133,1),(155,1),(181,1),(195,1)}
       160:{3,5,7}:{(133,1),(134,1),(181,1),(182,1)}
       161:{1,4,5,6}:{(134,1),(158,1),(182,1)}
       162:{1,2,6,7}:{(135,1),(138,1),(183,1),(208,1)}
       163:{3,6,7}:{(136,1),(140,1),(194,1)}
       164:{2,4,6,7}:{(137,1),(142,1),(184,1),(185,1),(189,1)}
       165:{1,3,5,7}:{(138,1),(139,1),(140,1),(147,1),(183,1),(186,1),(205,1)}
       166:{1,4,6}:{(139,1),(141,1),(186,1),(187,1)}
       167:{3,4,7}:{(140,1),(141,1),(142,1),(186,1)}
       168:{3,4,5}:{(141,1),(143,1),(152,1),(187,1)}
       169:{2,4,5,7}:{(142,1),(143,1),(144,1),(188,1),(189,1)}
       170:{2,3,5,6}:{(144,1),(154,1),(189,1),(194,1),(206,1)}
       171:{1,2,3,7}:{(145,1),(147,1),(149,1),(190,1)}
       172:{1,2,4,6}:{(145,1),(146,1),(148,1),(150,1),(190,1),(191,1),(208,1)}
       173:{1,3,4,7}:{(147,1),(148,1),(151,1),(186,1),(190,1),(192,1)}
       174:{1,3,5}:{(148,1),(152,1),(187,1),(191,1)}
       175:{2,3,4,7}:{(149,1),(150,1),(151,1),(155,1),(190,1),(193,1)}
       176:{2,3,5}:{(150,1),(152,1),(156,1),(191,1)}
       177:{3,5,7}:{(151,1),(152,1),(153,1),(194,1)}
       178:{1,2,4,6}:{(153,1),(154,1),(158,1),(189,1),(194,1),(195,1),(207,1),(208,1)}
       179:{2,4,5,7}:{(155,1),(156,1),(157,1),(181,1),(193,1),(195,1)}
       180:{3,4,6}:{(157,1),(158,1),(182,1),(194,1),(195,1)}
       181:{2,5,7}:{(159,1),(160,1),(196,1)}
       182:{3,5,6}:{(160,1),(161,1),(180,1),(196,1)}
       183:{1,3,6,7}:{(162,1),(163,1),(165,1),(197,1),(203,1)}
       184:{3,4,6,7}:{(163,1),(164,1),(167,1),(197,1),(198,1),(201,1)}
       185:{2,4,5,7}:{(164,1),(198,1),(199,1)}
       186:{1,4,7}:{(165,1),(166,1),(167,1)}
       187:{1,4,5}:{(166,1),(168,1),(174,1)}
       188:{3,4,5,7}:{(167,1),(168,1),(169,1),(177,1),(198,1),(200,1),(201,1)}
       189:{2,4,6}:{(169,1),(170,1),(201,1)}
       190:{1,2,4,7}:{(171,1),(172,1),(173,1),(175,1),(202,1)}
       191:{1,2,5}:{(172,1),(174,1),(176,1)}
       192:{1,3,5,7}:{(173,1),(174,1),(177,1),(200,1),(202,1),(203,1)}
       193:{2,3,5,7}:{(175,1),(176,1),(177,1),(179,1),(202,1),(204,1)}
       194:{3,6}:{(177,1),(178,1)}
       195:{2,4,6}:{(179,1),(180,1),(196,1),(204,1)}
       196:{2,5,6}:{(181,1),(182,1),(195,1)}
       197:{1,4,6,7}:{(183,1),(184,1),(186,1),(205,1),(207,1)}
       198:{3,5,7}:{(184,1),(185,1),(205,1),(206,1)}
       199:{2,4,5,6}:{(185,1),(189,1),(206,1)}
       200:{1,4,5,7}:{(186,1),(187,1),(188,1),(192,1),(205,1),(207,1)}
       201:{3,4,6}:{(188,1),(189,1),(194,1),(206,1),(207,1)}
       202:{1,2,5,7}:{(190,1),(191,1),(192,1),(193,1),(208,1)}
       203:{1,3,6}:{(192,1),(194,1),(207,1),(208,1)}
       204:{2,3,6}:{(193,1),(194,1),(195,1),(208,1)}
       205:{1,5,7}:{(197,1),(198,1),(209,1)}
       206:{3,5,6}:{(198,1),(199,1),(201,1),(209,1)}
       207:{1,4,6}:{(200,1),(201,1),(203,1),(209,1)}
       208:{1,2,6}:{(202,1),(203,1),(204,1)}
       209:{1,5,6}:{(205,1),(206,1),(207,1)}

1857 :   0:{2,4,5,6,7}:{(1,1),(13,1),(115,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(5,1),(144,1)}
         2:{2,3,4,5,7}:{(7,1),(8,1),(10,1),(59,1),(72,1),(75,1),(108,1),(117,1),(123,1),(129,1)}
         3:{2,3,4,6,7}:{(7,1),(10,1),(11,1),(13,1),(39,1),(75,1),(78,1)}
         4:{3,4,6,7}:{(1,1),(9,1),(12,1),(13,1),(39,1),(127,1)}
         5:{1,5,6,7}:{(1,1),(12,1),(169,1)}
         6:{2,3,5,6,7}:{(1,1),(10,1),(13,1),(14,1),(39,1),(73,1)}
         7:{2,3,4,6}:{(2,1),(16,1),(17,1),(89,1),(98,1),(152,1),(156,1)}
         8:{1,2,4,5,7}:{(2,1),(17,1),(18,1),(21,1),(42,1),(54,1),(86,1),(90,1)}
         9:{3,4,5,7}:{(4,1),(15,1),(19,1),(20,1),(53,1)}
        10:{2,3,5,7}:{(3,1),(16,1),(20,1),(21,1),(53,1),(104,1)}
        11:{1,2,4,6,7}:{(3,1),(17,1),(21,1),(22,1),(54,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(19,1),(23,1),(154,1)}
        13:{2,4,6,7}:{(4,1),(6,1),(20,1),(98,1)}
        14:{1,2,5,6,7}:{(5,1),(6,1),(21,1),(24,1),(25,1),(96,1),(104,1)}
        15:{3,4,5,6}:{(9,1),(27,1),(28,1),(65,1),(127,1),(161,1)}
        16:{2,3,5,6}:{(7,1),(10,1),(28,1),(29,1),(65,1),(108,1),(132,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(29,1),(30,1),(66,1)}
        18:{1,3,5,7}:{(8,1),(30,1),(31,1),(67,1),(123,1)}
        19:{1,4,5,7}:{(9,1),(12,1),(27,1),(34,1)}
        20:{2,4,5,7}:{(9,1),(10,1),(13,1),(28,1)}
        21:{1,2,5,7}:{(10,1),(11,1),(29,1),(36,1)}
        22:{1,3,6,7}:{(11,1),(30,1),(36,1),(39,1)}
        23:{1,3,6,7}:{(12,1),(34,1),(38,1),(39,1),(175,1)}
        24:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(35,1),(38,1),(39,1),(40,1),(78,1),(124,1)}
        25:{1,3,5,6,7}:{(14,1),(36,1),(39,1),(40,1),(77,1),(79,1)}
        26:{1,2,3,5,7}:{(18,1),(41,1),(42,1),(83,1),(86,1)}
        27:{1,4,5,6}:{(15,1),(19,1),(43,1),(154,1),(181,1)}
        28:{2,4,5,6}:{(15,1),(16,1),(20,1),(98,1),(135,1)}
        29:{1,2,5,6}:{(16,1),(17,1),(21,1),(45,1),(86,1)}
        30:{1,3,6}:{(17,1),(18,1),(152,1)}
        31:{1,3,4,7}:{(18,1),(42,1),(46,1),(54,1),(94,1)}
        32:{1,2,3,6,7}:{(22,1),(41,1),(49,1),(50,1),(56,1),(137,1),(152,1),(190,1),(192,1)}
        33:{2,3,4,6,7}:{(50,1),(51,1),(82,1),(94,1),(98,1),(137,1),(152,1),(155,1),(183,1)}
        34:{1,3,5,7}:{(19,1),(23,1),(43,1),(48,1),(52,1),(53,1)}
        35:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(24,1),(44,1),(52,1),(53,1),(54,1),(58,1),(100,1),(104,1)}
        36:{1,3,5,7}:{(21,1),(22,1),(45,1),(53,1),(54,1)}
        37:{1,3,4,6,7}:{(22,1),(46,1),(50,1),(54,1),(55,1),(57,1),(94,1),(102,1),(152,1)}
        38:{1,2,6,7}:{(23,1),(52,1),(56,1),(190,1)}
        39:{3,6,7}:{(24,1),(53,1),(152,1)}
        40:{1,4,6,7}:{(25,1),(54,1),(57,1),(58,1),(102,1)}
        41:{1,2,3,6}:{(26,1),(30,1),(62,1),(109,1)}
        42:{1,2,4,7}:{(26,1),(31,1),(59,1),(62,1)}
        43:{1,3,5,6}:{(27,1),(34,1),(60,1),(64,1),(65,1),(166,1),(175,1)}
        44:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(35,1),(64,1),(65,1),(66,1),(80,1),(112,1),(116,1),(124,1),(132,1)}
        45:{1,3,5,6}:{(29,1),(30,1),(36,1),(65,1),(66,1),(67,1)}
        46:{1,3,4,6}:{(30,1),(31,1),(62,1),(66,1),(67,1),(111,1)}
        47:{1,3,4,5,7}:{(31,1),(63,1),(67,1),(68,1),(76,1),(119,1),(123,1),(126,1),(161,1),(197,1)}
        48:{1,3,4,7}:{(34,1),(60,1),(69,1),(75,1)}
        49:{1,2,3,5,7}:{(32,1),(36,1),(61,1),(70,1),(71,1),(74,1),(120,1),(123,1),(163,1),(173,1),(200,1)}
        50:{1,2,4,6,7}:{(32,1),(33,1),(37,1),(62,1),(70,1),(71,1),(78,1),(124,1),(177,1)}
        51:{2,3,5,7}:{(33,1),(71,1),(72,1),(73,1),(108,1),(123,1),(170,1)}
        52:{1,2,5,7}:{(34,1),(38,1),(64,1),(69,1),(74,1)}
        53:{3,5,7}:{(35,1),(39,1),(65,1),(75,1)}
        54:{1,4,7}:{(36,1),(66,1),(75,1)}
        55:{1,3,5,7}:{(37,1),(67,1),(71,1),(76,1),(77,1),(79,1),(123,1)}
        56:{2,3,6,7}:{(38,1),(39,1),(74,1),(78,1),(174,1)}
        57:{3,4,6,7}:{(39,1),(40,1),(75,1),(78,1),(79,1),(130,1)}
        58:{1,4,5,7}:{(40,1),(79,1),(80,1)}
        59:{2,3,4,7}:{(42,1),(82,1),(83,1),(94,1),(183,1)}
        60:{1,3,4,6}:{(43,1),(48,1),(81,1),(84,1),(89,1)}
        61:{1,2,3,5,6}:{(41,1),(45,1),(49,1),(85,1),(86,1),(88,1),(96,1),(136,1),(138,1),(141,1),(152,1),(184,1),(186,1),(190,1)}
        62:{1,2,4,6}:{(41,1),(42,1),(46,1),(82,1),(86,1)}
        63:{1,2,4,5,7}:{(42,1),(47,1),(83,1),(86,1),(87,1),(135,1),(143,1),(183,1)}
        64:{1,2,5,6}:{(43,1),(52,1),(84,1),(88,1),(184,1),(190,1)}
        65:{3,5,6}:{(44,1),(53,1),(89,1),(141,1),(152,1)}
        66:{1,4,6}:{(45,1),(54,1),(89,1),(90,1)}
        67:{1,3,5}:{(46,1),(86,1),(90,1),(141,1)}
        68:{1,3,4,6}:{(47,1),(87,1),(91,1),(102,1),(152,1),(154,1),(182,1)}
        69:{1,2,4,7}:{(48,1),(52,1),(84,1),(93,1),(100,1)}
        70:{1,2,4,7}:{(49,1),(54,1),(85,1),(94,1),(100,1),(183,1),(205,1)}
        71:{1,2,5,7}:{(50,1),(51,1),(55,1),(86,1),(96,1),(104,1),(188,1)}
        72:{2,4,5,7}:{(51,1),(97,1),(98,1),(135,1),(183,1)}
        73:{2,3,5,6}:{(51,1),(96,1),(98,1),(144,1),(152,1)}
        74:{2,3,5,7}:{(52,1),(53,1),(56,1),(88,1),(93,1),(100,1),(104,1)}
        75:{3,4,7}:{(53,1),(54,1),(89,1),(100,1)}
        76:{1,4,5,7}:{(54,1),(55,1),(90,1),(101,1),(102,1)}
        77:{1,3,5,6}:{(55,1),(96,1),(102,1),(105,1),(152,1)}
        78:{2,4,6,7}:{(56,1),(57,1),(100,1),(104,1),(156,1)}
        79:{3,5,7}:{(57,1),(58,1),(104,1),(105,1)}
        80:{1,4,5,6}:{(58,1),(102,1),(105,1)}
        81:{1,3,4,5}:{(60,1),(107,1),(117,1),(166,1),(193,1)}
        82:{2,3,4,6}:{(59,1),(62,1),(108,1),(109,1),(111,1),(162,1)}
        83:{2,3,5,7}:{(59,1),(63,1),(108,1),(109,1),(123,1)}
        84:{1,2,4,6}:{(60,1),(64,1),(69,1),(107,1),(110,1),(116,1)}
        85:{1,2,4,6}:{(61,1),(66,1),(70,1),(111,1),(112,1),(116,1),(162,1),(196,1)}
        86:{1,2,5}:{(62,1),(67,1),(108,1)}
        87:{1,2,4,6}:{(63,1),(68,1),(109,1),(113,1),(162,1)}
        88:{2,3,5,6}:{(64,1),(65,1),(74,1),(110,1),(116,1),(132,1),(165,1),(174,1)}
        89:{3,4,6}:{(65,1),(66,1),(75,1),(116,1),(117,1)}
        90:{1,4,5}:{(66,1),(67,1),(117,1)}
        91:{1,3,5,6}:{(67,1),(68,1),(113,1),(118,1),(119,1),(167,1),(169,1)}
        92:{1,3,4,6,7}:{(68,1),(114,1),(119,1),(131,1),(176,1),(177,1),(197,1)}
        93:{2,3,7}:{(69,1),(110,1)}
        94:{3,4,7}:{(70,1),(111,1),(123,1)}
        95:{1,2,4,5,7}:{(70,1),(71,1),(72,1),(76,1),(112,1),(123,1),(124,1),(126,1),(129,1),(173,1)}
        96:{1,2,5,6}:{(71,1),(73,1),(77,1),(124,1),(132,1),(169,1)}
        97:{3,4,5,7}:{(72,1),(123,1),(126,1),(127,1),(161,1),(170,1),(197,1)}
        98:{2,4,6}:{(72,1),(73,1),(127,1)}
        99:{2,3,5,6,7}:{(73,1),(125,1),(128,1),(163,1),(170,1),(176,1)}
       100:{2,4,7}:{(74,1),(75,1),(116,1)}
       101:{3,4,5,7}:{(75,1),(76,1),(79,1),(117,1),(123,1),(129,1),(130,1)}
       102:{1,4,6}:{(76,1),(77,1),(130,1)}
       103:{1,3,5,6,7}:{(77,1),(119,1),(125,1),(131,1),(133,1),(176,1)}
       104:{2,5,7}:{(78,1),(79,1),(132,1)}
       105:{3,5,6}:{(79,1),(80,1),(130,1),(132,1)}
       106:{1,4,5,6,7}:{(80,1),(131,1),(133,1)}
       107:{1,2,4,5}:{(81,1),(84,1),(134,1),(146,1),(179,1),(184,1)}
       108:{2,3,5}:{(82,1),(86,1),(135,1),(141,1)}
       109:{2,3,6}:{(83,1),(87,1),(152,1)}
       110:{2,3,6}:{(84,1),(93,1),(134,1)}
       111:{3,4,6}:{(85,1),(94,1),(141,1),(152,1)}
       112:{1,2,4,5}:{(85,1),(86,1),(90,1),(135,1),(141,1),(146,1),(181,1),(184,1)}
       113:{1,2,5,6}:{(86,1),(87,1),(91,1),(136,1),(143,1)}
       114:{1,2,4,6,7}:{(87,1),(92,1),(137,1),(143,1),(183,1)}
       115:{2,4,5,6}:{(98,1),(144,1),(145,1)}
       116:{2,4,6}:{(88,1),(89,1),(100,1),(146,1)}
       117:{3,4,5}:{(89,1),(90,1),(141,1),(146,1)}
       118:{1,4,5,6}:{(90,1),(91,1),(102,1),(147,1),(148,1)}
       119:{1,3,5,7}:{(91,1),(92,1),(143,1),(148,1),(187,1),(188,1)}
       120:{1,2,3,7}:{(93,1),(138,1),(149,1),(209,1)}
       121:{2,3,4,7}:{(93,1),(94,1),(100,1),(139,1),(149,1),(150,1)}
       122:{1,3,4,7}:{(94,1),(140,1),(149,1),(151,1),(205,1),(209,1)}
       123:{3,5,7}:{(94,1),(95,1),(141,1),(152,1)}
       124:{1,2,4,6}:{(95,1),(96,1),(98,1),(102,1),(152,1),(154,1),(156,1),(190,1)}
       125:{1,2,5,6,7}:{(96,1),(99,1),(103,1),(143,1),(153,1),(158,1),(188,1)}
       126:{1,4,5,7}:{(97,1),(151,1),(154,1),(181,1),(188,1),(205,1)}
       127:{3,4,6}:{(97,1),(98,1),(144,1),(152,1),(154,1)}
       128:{2,4,6,7}:{(98,1),(99,1),(145,1),(155,1),(183,1)}
       129:{2,4,5,7}:{(100,1),(101,1),(104,1),(146,1),(150,1),(156,1)}
       130:{3,4,6}:{(101,1),(102,1),(105,1),(152,1),(156,1)}
       131:{1,4,6,7}:{(102,1),(103,1),(148,1),(157,1)}
       132:{2,5,6}:{(104,1),(105,1),(156,1)}
       133:{3,5,6,7}:{(105,1),(106,1),(157,1),(158,1)}
       134:{2,3,5}:{(107,1),(110,1),(160,1)}
       135:{2,4,5}:{(108,1),(161,1),(162,1)}
       136:{2,3,5,6}:{(108,1),(109,1),(113,1),(162,1),(163,1),(167,1)}
       137:{2,3,6,7}:{(109,1),(114,1),(163,1),(176,1)}
       138:{1,2,3,6}:{(110,1),(120,1),(159,1),(164,1),(207,1)}
       139:{2,3,4,6}:{(110,1),(111,1),(116,1),(121,1),(160,1),(164,1),(165,1),(174,1)}
       140:{1,3,4,6}:{(111,1),(122,1),(164,1),(166,1),(175,1),(193,1),(196,1),(207,1)}
       141:{3,5}:{(111,1),(112,1)}
       142:{1,2,4,5,6}:{(112,1),(113,1),(115,1),(118,1),(124,1),(162,1),(167,1),(168,1),(169,1),(171,1),(196,1),(198,1)}
       143:{1,2,5,7}:{(113,1),(114,1),(119,1),(163,1)}
       144:{3,5,6}:{(115,1),(127,1),(169,1),(170,1)}
       145:{2,4,5,7}:{(115,1),(128,1),(170,1)}
       146:{2,4,5}:{(116,1),(117,1),(165,1)}
       147:{3,4,5,6}:{(117,1),(118,1),(130,1),(167,1),(171,1),(172,1)}
       148:{1,4,5,7}:{(118,1),(119,1),(131,1),(172,1)}
       149:{1,2,4,7}:{(120,1),(121,1),(122,1),(164,1),(173,1)}
       150:{2,3,5,7}:{(121,1),(123,1),(129,1),(165,1),(173,1),(174,1)}
       151:{1,3,5,7}:{(122,1),(123,1),(126,1),(166,1),(173,1),(175,1)}
       152:{3,6}:{(123,1),(124,1)}
       153:{1,2,4,6,7}:{(124,1),(125,1),(128,1),(131,1),(168,1),(176,1),(177,1),(178,1),(201,1)}
       154:{1,4,6}:{(126,1),(127,1),(169,1),(175,1)}
       155:{3,4,6,7}:{(127,1),(128,1),(170,1),(176,1),(177,1),(197,1)}
       156:{2,4,6}:{(129,1),(130,1),(132,1),(174,1)}
       157:{3,4,6,7}:{(130,1),(131,1),(133,1),(172,1),(176,1),(178,1)}
       158:{2,5,6,7}:{(132,1),(133,1),(178,1)}
       159:{1,2,3,5}:{(134,1),(138,1),(179,1),(184,1),(202,1)}
       160:{2,3,4}:{(134,1),(179,1)}
       161:{3,4,5}:{(135,1),(141,1),(181,1),(182,1)}
       162:{2,4,6}:{(135,1),(136,1),(182,1),(183,1)}
       163:{2,3,5,7}:{(136,1),(137,1),(143,1),(183,1),(187,1)}
       164:{1,2,4,6}:{(138,1),(139,1),(140,1),(149,1),(179,1),(184,1),(190,1)}
       165:{2,3,5}:{(139,1),(141,1),(146,1),(184,1)}
       166:{1,3,5}:{(140,1),(141,1),(181,1),(184,1)}
       167:{3,5,6}:{(141,1),(142,1),(152,1),(182,1),(187,1)}
       168:{1,2,4,5,7}:{(142,1),(143,1),(145,1),(148,1),(153,1),(183,1),(187,1),(188,1),(189,1),(205,1),(206,1)}
       169:{1,5,6}:{(144,1),(154,1),(188,1)}
       170:{3,5,7}:{(144,1),(145,1),(155,1),(188,1)}
       171:{2,4,5,6}:{(146,1),(147,1),(156,1),(185,1),(189,1)}
       172:{3,4,5,7}:{(147,1),(148,1),(157,1),(187,1),(189,1)}
       173:{1,2,5,7}:{(149,1),(150,1),(151,1),(184,1),(190,1)}
       174:{2,3,6}:{(150,1),(152,1),(156,1),(190,1)}
       175:{1,3,6}:{(151,1),(152,1),(154,1),(190,1)}
       176:{3,6,7}:{(152,1),(153,1),(187,1)}
       177:{1,4,6,7}:{(154,1),(155,1),(188,1),(192,1),(205,1)}
       178:{2,4,6,7}:{(156,1),(157,1),(158,1),(189,1),(191,1)}
       179:{1,2,4}:{(159,1),(160,1),(193,1)}
       180:{2,3,4,5}:{(160,1),(161,1),(165,1),(194,1),(195,1)}
       181:{1,4,5}:{(161,1),(166,1),(196,1)}
       182:{3,4,6}:{(161,1),(162,1),(167,1),(196,1),(197,1)}
       183:{2,4,7}:{(162,1),(163,1),(197,1)}
       184:{1,2,5}:{(164,1),(165,1),(166,1)}
       185:{2,3,5,6}:{(165,1),(167,1),(171,1),(174,1),(195,1),(198,1),(199,1)}
       186:{1,3,5,6}:{(166,1),(167,1),(169,1),(175,1),(196,1),(198,1),(200,1),(207,1)}
       187:{3,5,7}:{(167,1),(168,1),(176,1),(197,1)}
       188:{1,5,7}:{(169,1),(170,1),(177,1)}
       189:{2,4,5,7}:{(171,1),(172,1),(178,1),(199,1)}
       190:{1,2,6}:{(173,1),(174,1),(175,1)}
       191:{2,3,6,7}:{(174,1),(176,1),(178,1),(199,1),(201,1)}
       192:{1,3,6,7}:{(175,1),(176,1),(177,1),(200,1),(201,1)}
       193:{1,3,4}:{(179,1),(202,1)}
       194:{1,2,4,5}:{(179,1),(180,1),(181,1),(184,1),(202,1),(203,1)}
       195:{2,3,4,6}:{(180,1),(182,1),(185,1),(203,1),(204,1)}
       196:{1,4,6}:{(181,1),(182,1),(186,1),(205,1)}
       197:{3,4,7}:{(182,1),(183,1),(187,1),(205,1)}
       198:{1,2,5,6}:{(184,1),(185,1),(186,1),(190,1),(203,1),(206,1)}
       199:{2,3,5,7}:{(185,1),(187,1),(189,1),(191,1),(204,1),(206,1)}
       200:{1,3,5,7}:{(186,1),(187,1),(188,1),(192,1),(205,1),(206,1),(209,1)}
       201:{1,2,6,7}:{(190,1),(191,1),(192,1),(206,1)}
       202:{1,3,5}:{(193,1),(194,1),(207,1)}
       203:{1,2,4,6}:{(194,1),(195,1),(196,1),(198,1),(207,1),(208,1)}
       204:{2,3,4,7}:{(195,1),(197,1),(199,1),(208,1)}
       205:{1,4,7}:{(196,1),(197,1),(200,1)}
       206:{1,2,5,7}:{(198,1),(199,1),(200,1),(201,1),(208,1)}
       207:{1,3,6}:{(202,1),(203,1),(209,1)}
       208:{1,2,4,7}:{(203,1),(204,1),(205,1),(206,1),(209,1)}
       209:{1,3,7}:{(207,1),(208,1)}

1858 :   0:{1,3,4,5,6}:{(2,1),(3,1),(34,1),(56,1),(84,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(19,1),(92,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(42,1),(45,1),(71,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(23,1),(69,1),(72,1)}
         4:{1,4,5,6,7}:{(1,1),(9,1),(83,1)}
         5:{2,4,5,6,7}:{(1,1),(10,1),(99,1)}
         6:{1,3,4,6,7}:{(2,1),(9,1),(12,1),(29,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(12,1),(13,1),(32,1),(54,1),(58,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1)}
         9:{1,3,5,6,7}:{(4,1),(6,1),(17,1),(19,1),(71,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(18,1),(19,1),(90,1)}
        11:{1,2,4,5,6,7}:{(4,1),(5,1),(17,1),(18,1),(19,1),(40,1),(41,1),(68,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(17,1),(20,1),(40,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(20,1),(22,1)}
        14:{1,2,3,5,6}:{(8,1),(21,1),(23,1),(48,1),(72,1),(73,1)}
        15:{2,3,4,6}:{(8,1),(22,1),(23,1),(24,1)}
        16:{2,3,4,6,7}:{(10,1),(25,1),(26,1),(29,1)}
        17:{1,2,5,6,7}:{(9,1),(12,1),(27,1),(58,1)}
        18:{1,2,5,6,7}:{(10,1),(26,1),(28,1),(79,1)}
        19:{3,5,6,7}:{(11,1),(29,1),(81,1)}
        20:{2,3,6,7}:{(12,1),(13,1)}
        21:{1,2,3,5,7}:{(13,1),(14,1),(30,1),(32,1),(58,1),(60,1)}
        22:{2,3,4,7}:{(13,1),(15,1),(32,1)}
        23:{1,2,4,6}:{(14,1),(15,1),(32,1),(34,1),(35,1)}
        24:{2,3,4,5}:{(15,1),(35,1)}
        25:{2,3,4,5,7}:{(16,1),(36,1),(37,1),(42,1),(87,1),(90,1)}
        26:{1,2,4,6,7}:{(16,1),(18,1),(37,1),(38,1),(41,1)}
        27:{2,3,5,6,7}:{(17,1),(19,1),(20,1),(40,1),(44,1)}
        28:{1,3,5,6,7}:{(18,1),(19,1),(38,1),(41,1),(66,1)}
        29:{3,4,6,7}:{(19,1),(40,1),(41,1),(42,1)}
        30:{1,2,3,6,7}:{(20,1),(21,1),(43,1),(73,1)}
        31:{2,3,4,6,7}:{(20,1),(22,1),(40,1),(43,1),(44,1),(47,1),(67,1)}
        32:{1,2,4,7}:{(21,1),(22,1),(23,1),(45,1)}
        33:{2,3,4,5,7}:{(22,1),(24,1),(44,1),(46,1),(47,1),(92,1)}
        34:{1,3,4,6}:{(23,1),(45,1),(48,1),(73,1)}
        35:{1,2,4,5}:{(23,1),(24,1),(48,1)}
        36:{2,3,4,5,6}:{(25,1),(49,1),(56,1),(95,1),(100,1)}
        37:{1,2,4,5,7}:{(25,1),(26,1),(49,1),(50,1),(55,1),(76,1),(79,1)}
        38:{1,3,6,7}:{(26,1),(50,1)}
        39:{1,2,3,5,6,7}:{(27,1),(28,1),(30,1),(51,1),(53,1),(58,1),(79,1),(81,1),(84,1),(100,1)}
        40:{2,4,6,7}:{(27,1),(29,1),(54,1)}
        41:{1,4,6,7}:{(28,1),(29,1),(55,1)}
        42:{3,4,5,7}:{(29,1),(54,1),(55,1),(56,1),(81,1)}
        43:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(57,1),(58,1),(61,1)}
        44:{2,3,5,7}:{(31,1),(54,1),(58,1),(59,1),(81,1)}
        45:{1,3,4,7}:{(32,1),(34,1),(60,1)}
        46:{1,2,4,5,7}:{(32,1),(33,1),(35,1),(58,1),(60,1),(61,1),(83,1)}
        47:{2,3,4,6}:{(33,1),(59,1),(61,1),(101,1)}
        48:{1,3,5}:{(34,1),(35,1)}
        49:{1,2,4,5,6}:{(36,1),(37,1),(62,1),(70,1),(85,1),(91,1)}
        50:{1,3,5,7}:{(37,1),(38,1),(62,1),(64,1)}
        51:{1,2,3,6,7}:{(38,1),(63,1),(65,1),(103,1)}
        52:{1,3,4,6,7}:{(38,1),(41,1),(64,1),(65,1),(66,1),(67,1),(89,1)}
        53:{1,2,4,6,7}:{(39,1),(40,1),(41,1),(67,1),(68,1),(94,1),(104,1)}
        54:{2,4,5,7}:{(40,1),(42,1),(44,1),(69,1)}
        55:{1,4,5,7}:{(41,1),(42,1),(66,1),(70,1)}
        56:{3,4,5,6}:{(42,1),(69,1),(70,1),(93,1)}
        57:{1,3,4,6,7}:{(43,1),(45,1),(67,1),(71,1),(73,1),(94,1)}
        58:{1,2,5,7}:{(43,1),(44,1),(71,1),(72,1)}
        59:{2,3,5,6}:{(44,1),(47,1),(69,1),(72,1),(93,1)}
        60:{1,3,5,7}:{(45,1),(46,1),(48,1),(73,1)}
        61:{1,2,4,6}:{(46,1),(47,1),(72,1),(73,1),(94,1)}
        62:{1,3,5,6}:{(49,1),(50,1),(75,1)}
        63:{1,2,3,5,7}:{(50,1),(51,1),(74,1),(76,1),(79,1),(97,1)}
        64:{1,3,4,7}:{(50,1),(75,1),(76,1)}
        65:{1,2,4,6,7}:{(51,1),(52,1),(76,1),(78,1),(79,1),(98,1)}
        66:{1,3,5,7}:{(52,1),(55,1),(79,1),(80,1),(81,1)}
        67:{3,4,6,7}:{(53,1),(81,1),(101,1)}
        68:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(58,1),(79,1),(81,1),(82,1),(83,1),(99,1)}
        69:{2,4,5,6}:{(54,1),(56,1),(59,1)}
        70:{1,4,5,6}:{(55,1),(56,1),(80,1)}
        71:{1,3,5,7}:{(57,1),(58,1),(81,1),(83,1),(84,1)}
        72:{1,2,5,6}:{(58,1),(59,1),(61,1),(84,1)}
        73:{1,3,6}:{(60,1),(61,1)}
        74:{1,2,3,5,6}:{(62,1),(63,1),(85,1),(91,1),(102,1),(103,1)}
        75:{1,3,4,6}:{(62,1),(64,1),(85,1),(86,1)}
        76:{1,2,4,7}:{(63,1),(64,1),(85,1),(87,1)}
        77:{1,3,4,5,7}:{(64,1),(66,1),(86,1),(88,1),(89,1),(92,1)}
        78:{2,3,4,6,7}:{(65,1),(67,1),(87,1),(90,1),(103,1),(104,1)}
        79:{1,2,5,7}:{(65,1),(66,1),(90,1),(91,1)}
        80:{1,3,5,6}:{(66,1),(70,1),(89,1),(91,1),(93,1)}
        81:{3,5,7}:{(67,1),(68,1),(93,1)}
        82:{1,2,4,5,6}:{(68,1),(69,1),(70,1),(72,1),(91,1),(93,1),(94,1),(104,1)}
        83:{1,4,5,7}:{(71,1),(92,1),(94,1)}
        84:{1,3,5,6}:{(71,1),(72,1),(73,1),(93,1),(94,1)}
        85:{1,2,4,6}:{(74,1),(75,1),(76,1),(95,1),(96,1)}
        86:{1,3,4,5}:{(75,1),(96,1)}
        87:{2,3,4,7}:{(76,1),(95,1),(97,1)}
        88:{1,2,4,5,7}:{(76,1),(77,1),(79,1),(96,1),(97,1),(98,1),(99,1)}
        89:{1,3,4,6}:{(77,1),(80,1),(98,1),(101,1)}
        90:{2,3,5,7}:{(78,1),(79,1),(81,1),(99,1),(100,1)}
        91:{1,2,5,6}:{(79,1),(80,1),(98,1),(100,1)}
        92:{3,4,5,7}:{(81,1),(83,1),(99,1),(101,1)}
        93:{3,5,6}:{(81,1),(82,1),(101,1)}
        94:{1,4,6}:{(83,1),(84,1),(101,1)}
        95:{2,3,4,6}:{(85,1),(87,1),(102,1),(103,1)}
        96:{1,2,4,5}:{(85,1),(86,1),(102,1)}
        97:{2,3,5,7}:{(87,1),(88,1),(102,1),(103,1)}
        98:{1,2,4,6}:{(88,1),(89,1),(91,1),(103,1),(104,1)}
        99:{2,4,5,7}:{(90,1),(92,1),(104,1)}
       100:{2,3,5,6}:{(90,1),(91,1),(93,1),(103,1),(104,1)}
       101:{3,4,6}:{(92,1),(93,1),(94,1),(104,1)}
       102:{2,3,5}:{(95,1),(96,1)}
       103:{2,3,6}:{(97,1),(98,1)}
       104:{2,4,6}:{(99,1),(100,1),(101,1)}

1859 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(21,1),(53,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(34,1),(69,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(24,1),(48,1),(85,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(19,1),(24,1),(47,1),(88,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(20,1),(24,1),(46,1),(87,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(34,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(64,1),(106,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(63,1),(105,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(32,1),(33,1),(108,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(45,1),(85,1),(158,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(17,1),(19,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(18,1),(20,1)}
        12:{1,3,4,6,7}:{(6,1),(19,1),(22,1),(24,1),(41,1),(48,1)}
        13:{2,3,4,6,7}:{(7,1),(20,1),(23,1),(24,1),(26,1),(48,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(21,1),(24,1),(128,1)}
        15:{1,2,3,5,6,7}:{(8,1),(24,1),(25,1),(46,1),(47,1),(49,1),(52,1),(78,1),(86,1),(87,1),(88,1),(131,1),(161,1),(163,1),(172,1)}
        16:{2,3,4,5,7}:{(20,1),(26,1),(27,1),(48,1),(81,1),(83,1),(92,1),(127,1),(132,1)}
        17:{1,4,5,6}:{(9,1),(10,1),(29,1),(106,1),(164,1)}
        18:{2,4,5,6}:{(9,1),(11,1),(30,1),(105,1),(149,1)}
        19:{1,3,5,7}:{(10,1),(12,1),(29,1),(32,1),(34,1)}
        20:{2,3,5,7}:{(11,1),(13,1),(30,1),(33,1),(34,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(31,1),(32,1),(33,1),(34,1),(63,1),(64,1)}
        22:{1,2,4,6,7}:{(12,1),(32,1),(35,1),(57,1),(63,1)}
        23:{1,2,4,6,7}:{(13,1),(33,1),(36,1),(39,1),(64,1)}
        24:{3,6,7}:{(14,1),(34,1),(147,1)}
        25:{1,2,4,6,7}:{(15,1),(37,1),(38,1),(63,1),(64,1),(99,1),(105,1),(106,1),(170,1),(174,1)}
        26:{2,3,4,6}:{(16,1),(30,1),(39,1),(61,1),(105,1),(147,1)}
        27:{1,2,4,5,7}:{(16,1),(33,1),(39,1),(40,1),(64,1),(73,1),(101,1),(112,1)}
        28:{1,3,4,5,7}:{(19,1),(41,1),(42,1),(48,1),(81,1),(84,1),(119,1),(127,1),(153,1)}
        29:{1,3,5,6}:{(17,1),(19,1),(41,1),(43,1),(45,1),(153,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(26,1),(44,1),(45,1),(132,1)}
        31:{1,2,4,5,6}:{(17,1),(18,1),(21,1),(43,1),(44,1),(45,1),(79,1),(80,1),(123,1),(128,1)}
        32:{1,2,5,7}:{(19,1),(22,1),(43,1),(46,1)}
        33:{1,2,5,7}:{(20,1),(23,1),(44,1),(47,1)}
        34:{3,5,7}:{(21,1),(24,1),(45,1),(48,1)}
        35:{2,3,6,7}:{(22,1),(24,1),(46,1),(75,1)}
        36:{1,3,6,7}:{(23,1),(24,1),(47,1),(54,1)}
        37:{3,4,6,7}:{(24,1),(25,1),(48,1),(52,1),(85,1),(122,1),(161,1),(173,1)}
        38:{1,2,4,5,7}:{(25,1),(52,1),(53,1),(83,1),(84,1),(86,1),(123,1)}
        39:{1,2,4,6}:{(26,1),(27,1),(44,1),(54,1),(80,1)}
        40:{1,3,5,7}:{(27,1),(54,1),(56,1),(91,1),(127,1)}
        41:{1,3,4,6}:{(28,1),(29,1),(57,1),(61,1),(106,1),(147,1)}
        42:{1,2,4,5,7}:{(28,1),(32,1),(57,1),(58,1),(63,1),(97,1),(100,1),(138,1)}
        43:{1,2,5,6}:{(29,1),(32,1),(57,1),(59,1),(138,1)}
        44:{1,2,5,6}:{(30,1),(33,1),(39,1),(60,1),(112,1)}
        45:{3,5,6}:{(31,1),(34,1),(61,1),(143,1),(147,1)}
        46:{2,3,5,7}:{(32,1),(34,1),(35,1),(59,1),(63,1)}
        47:{1,3,5,7}:{(33,1),(34,1),(36,1),(60,1),(64,1)}
        48:{3,4,7}:{(34,1),(61,1),(63,1),(64,1)}
        49:{1,2,3,6,7}:{(35,1),(36,1),(62,1),(66,1),(71,1),(95,1),(147,1),(152,1),(167,1)}
        50:{2,3,4,6,7}:{(35,1),(37,1),(63,1),(66,1),(67,1),(96,1),(103,1),(105,1),(111,1),(147,1),(152,1),(170,1)}
        51:{1,3,4,6,7}:{(36,1),(37,1),(64,1),(66,1),(68,1),(72,1),(103,1),(106,1),(137,1),(147,1),(167,1),(174,1)}
        52:{3,5,7}:{(37,1),(38,1),(69,1),(143,1)}
        53:{1,2,4,5,6}:{(38,1),(69,1),(105,1),(106,1),(108,1)}
        54:{1,3,6}:{(39,1),(40,1),(147,1)}
        55:{1,2,3,5,7}:{(40,1),(71,1),(73,1),(112,1),(114,1)}
        56:{1,3,4,7}:{(40,1),(64,1),(72,1),(73,1),(103,1)}
        57:{1,2,4,6}:{(41,1),(42,1),(43,1),(75,1),(79,1)}
        58:{2,3,5,7}:{(42,1),(75,1),(77,1),(118,1),(127,1)}
        59:{2,3,5,6}:{(43,1),(45,1),(46,1),(75,1),(79,1),(118,1)}
        60:{1,3,5,6}:{(44,1),(45,1),(47,1),(54,1),(80,1),(91,1)}
        61:{3,4,6}:{(45,1),(48,1),(79,1),(80,1),(81,1)}
        62:{1,2,3,5,7}:{(46,1),(47,1),(49,1),(78,1),(82,1),(86,1),(127,1),(163,1),(172,1)}
        63:{2,4,7}:{(46,1),(48,1),(79,1)}
        64:{1,4,7}:{(47,1),(48,1),(80,1)}
        65:{3,4,5,7}:{(48,1),(52,1),(81,1),(83,1),(84,1),(85,1),(127,1),(158,1),(173,1)}
        66:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(82,1),(86,1),(90,1),(117,1),(128,1)}
        67:{2,3,5,7}:{(50,1),(52,1),(83,1),(86,1),(87,1),(118,1),(127,1),(132,1)}
        68:{1,3,5,7}:{(51,1),(52,1),(84,1),(86,1),(88,1),(91,1),(127,1),(153,1)}
        69:{3,5,6}:{(52,1),(53,1),(85,1)}
        70:{1,2,4,5,6,7}:{(53,1),(89,1),(129,1),(130,1),(131,1),(160,1)}
        71:{1,2,3,6}:{(54,1),(55,1),(90,1),(135,1)}
        72:{1,3,4,6}:{(54,1),(56,1),(80,1),(90,1),(91,1),(122,1)}
        73:{1,2,4,7}:{(55,1),(56,1),(90,1),(92,1)}
        74:{1,3,4,5,7}:{(56,1),(84,1),(91,1),(93,1),(94,1),(127,1),(134,1),(158,1),(173,1)}
        75:{2,3,6}:{(57,1),(58,1),(147,1)}
        76:{1,2,3,5,7}:{(58,1),(95,1),(97,1),(138,1),(140,1)}
        77:{2,3,4,7}:{(58,1),(63,1),(96,1),(97,1),(103,1)}
        78:{1,2,3,5,6}:{(59,1),(60,1),(62,1),(71,1),(95,1),(99,1),(108,1),(112,1),(138,1),(143,1),(147,1),(150,1),(165,1)}
        79:{2,4,6}:{(59,1),(61,1),(63,1),(100,1)}
        80:{1,4,6}:{(60,1),(61,1),(64,1),(101,1)}
        81:{3,4,5}:{(61,1),(100,1),(101,1),(143,1)}
        82:{1,2,4,7}:{(62,1),(63,1),(64,1),(99,1),(103,1),(170,1),(174,1)}
        83:{2,4,5,7}:{(63,1),(65,1),(67,1),(100,1),(105,1),(149,1),(170,1)}
        84:{1,4,5,7}:{(64,1),(65,1),(68,1),(101,1),(106,1),(164,1),(174,1)}
        85:{3,4,6}:{(65,1),(69,1),(105,1),(106,1),(147,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(108,1),(112,1),(138,1)}
        87:{2,3,5,6}:{(67,1),(69,1),(105,1),(108,1),(147,1)}
        88:{1,3,5,6}:{(68,1),(69,1),(106,1),(108,1),(147,1)}
        89:{3,5,6,7}:{(69,1),(70,1),(107,1),(169,1)}
        90:{1,2,4,6}:{(71,1),(72,1),(73,1),(111,1),(112,1)}
        91:{1,3,5}:{(72,1),(101,1),(112,1),(143,1)}
        92:{2,3,4,7}:{(73,1),(103,1),(111,1),(114,1),(170,1)}
        93:{1,2,4,5,7}:{(73,1),(74,1),(112,1),(114,1),(115,1),(149,1),(151,1),(170,1)}
        94:{1,3,4,6}:{(74,1),(106,1),(113,1),(115,1),(147,1),(168,1)}
        95:{1,2,3,6}:{(75,1),(76,1),(117,1),(156,1)}
        96:{2,3,4,6}:{(75,1),(77,1),(79,1),(117,1),(118,1),(122,1)}
        97:{1,2,4,7}:{(76,1),(77,1),(117,1),(119,1)}
        98:{2,3,4,5,7}:{(77,1),(83,1),(118,1),(120,1),(121,1),(127,1),(155,1),(158,1),(173,1)}
        99:{1,2,4,6}:{(78,1),(79,1),(80,1),(82,1),(122,1),(123,1),(162,1),(171,1)}
       100:{2,4,5}:{(79,1),(81,1),(118,1)}
       101:{1,4,5}:{(80,1),(81,1),(91,1)}
       102:{3,4,5,6}:{(81,1),(85,1),(124,1),(125,1),(126,1),(159,1)}
       103:{3,4,7}:{(82,1),(122,1),(127,1)}
       104:{1,2,4,5,7}:{(82,1),(83,1),(84,1),(86,1),(123,1),(127,1),(128,1)}
       105:{2,4,6}:{(83,1),(85,1),(87,1)}
       106:{1,4,6}:{(84,1),(85,1),(88,1)}
       107:{3,4,6,7}:{(85,1),(89,1),(126,1),(129,1),(130,1),(161,1),(173,1)}
       108:{1,2,5,6}:{(86,1),(87,1),(88,1),(128,1)}
       109:{2,3,5,6,7}:{(87,1),(89,1),(129,1),(131,1),(155,1),(161,1),(163,1)}
       110:{1,3,5,6,7}:{(88,1),(89,1),(130,1),(131,1),(134,1),(161,1),(172,1)}
       111:{2,3,4,6}:{(90,1),(92,1),(122,1),(132,1),(135,1),(162,1)}
       112:{1,2,5}:{(90,1),(91,1),(132,1)}
       113:{1,3,5,6}:{(91,1),(94,1),(125,1),(133,1),(134,1),(159,1)}
       114:{2,3,5,7}:{(92,1),(93,1),(127,1),(132,1),(135,1)}
       115:{1,2,4,6}:{(93,1),(94,1),(133,1),(135,1),(162,1)}
       116:{1,3,4,6,7}:{(94,1),(130,1),(134,1),(136,1),(161,1),(173,1)}
       117:{1,2,4,6}:{(95,1),(96,1),(97,1),(137,1),(138,1)}
       118:{2,3,5}:{(96,1),(100,1),(138,1),(143,1)}
       119:{1,3,4,7}:{(97,1),(103,1),(137,1),(140,1),(174,1)}
       120:{1,2,4,5,7}:{(97,1),(98,1),(138,1),(140,1),(141,1),(164,1),(166,1),(174,1)}
       121:{2,3,4,6}:{(98,1),(105,1),(139,1),(141,1),(147,1),(168,1)}
       122:{3,4,6}:{(99,1),(103,1),(143,1),(147,1)}
       123:{1,2,4,5}:{(99,1),(100,1),(101,1),(112,1),(138,1),(143,1),(149,1),(164,1)}
       124:{2,4,5,6}:{(100,1),(102,1),(105,1),(139,1),(145,1)}
       125:{1,4,5,6}:{(101,1),(102,1),(106,1),(113,1),(146,1)}
       126:{3,4,5,7}:{(102,1),(107,1),(145,1),(146,1),(169,1)}
       127:{3,5,7}:{(103,1),(104,1),(143,1),(147,1)}
       128:{1,2,4,6}:{(104,1),(105,1),(106,1),(108,1),(147,1)}
       129:{2,4,6,7}:{(105,1),(107,1),(109,1),(145,1),(170,1)}
       130:{1,4,6,7}:{(106,1),(107,1),(110,1),(146,1),(174,1)}
       131:{1,2,5,6,7}:{(108,1),(109,1),(110,1),(148,1),(151,1),(166,1)}
       132:{2,3,5}:{(111,1),(112,1),(143,1),(149,1)}
       133:{1,2,5,6}:{(112,1),(113,1),(115,1),(150,1),(151,1)}
       134:{1,3,5,7}:{(113,1),(116,1),(146,1),(151,1),(169,1)}
       135:{2,3,6}:{(114,1),(115,1),(147,1)}
       136:{1,2,4,6,7}:{(115,1),(116,1),(151,1),(152,1),(170,1)}
       137:{1,3,4,6}:{(117,1),(119,1),(122,1),(153,1),(156,1),(171,1)}
       138:{1,2,5}:{(117,1),(118,1),(153,1)}
       139:{2,3,5,6}:{(118,1),(121,1),(124,1),(154,1),(155,1),(159,1)}
       140:{1,3,5,7}:{(119,1),(120,1),(127,1),(153,1),(156,1)}
       141:{1,2,4,6}:{(120,1),(121,1),(154,1),(156,1),(171,1)}
       142:{2,3,4,6,7}:{(121,1),(129,1),(155,1),(157,1),(161,1),(173,1)}
       143:{3,5}:{(122,1),(123,1)}
       144:{1,2,4,5,6}:{(123,1),(124,1),(125,1),(128,1),(133,1),(154,1),(159,1),(160,1),(162,1),(171,1)}
       145:{2,4,5,7}:{(124,1),(126,1),(129,1),(155,1)}
       146:{1,4,5,7}:{(125,1),(126,1),(130,1),(134,1)}
       147:{3,6}:{(127,1),(128,1)}
       148:{1,2,4,6,7}:{(128,1),(129,1),(130,1),(131,1),(160,1),(161,1)}
       149:{2,4,5}:{(132,1),(158,1),(162,1)}
       150:{2,3,5,6}:{(132,1),(133,1),(135,1),(159,1),(162,1),(163,1)}
       151:{1,2,5,7}:{(133,1),(134,1),(136,1),(163,1)}
       152:{2,3,6,7}:{(135,1),(136,1),(161,1),(163,1)}
       153:{1,3,5}:{(137,1),(138,1),(143,1),(164,1)}
       154:{1,2,5,6}:{(138,1),(139,1),(141,1),(165,1),(166,1)}
       155:{2,3,5,7}:{(139,1),(142,1),(145,1),(166,1),(169,1)}
       156:{1,3,6}:{(140,1),(141,1),(147,1)}
       157:{1,2,4,6,7}:{(141,1),(142,1),(166,1),(167,1),(174,1)}
       158:{3,4,5}:{(143,1),(149,1),(164,1),(168,1)}
       159:{3,5,6}:{(143,1),(144,1),(147,1),(168,1),(169,1)}
       160:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(148,1),(151,1),(166,1),(169,1),(170,1),(174,1)}
       161:{3,6,7}:{(147,1),(148,1),(169,1)}
       162:{2,4,6}:{(149,1),(150,1),(168,1),(170,1)}
       163:{2,3,5,7}:{(150,1),(151,1),(152,1),(169,1),(170,1)}
       164:{1,4,5}:{(153,1),(158,1),(171,1)}
       165:{1,3,5,6}:{(153,1),(154,1),(156,1),(159,1),(171,1),(172,1)}
       166:{1,2,5,7}:{(154,1),(155,1),(157,1),(172,1)}
       167:{1,3,6,7}:{(156,1),(157,1),(161,1),(172,1)}
       168:{3,4,6}:{(158,1),(159,1),(162,1),(171,1),(173,1)}
       169:{3,5,7}:{(159,1),(160,1),(161,1),(173,1)}
       170:{2,4,7}:{(162,1),(163,1),(173,1)}
       171:{1,4,6}:{(164,1),(165,1),(168,1),(174,1)}
       172:{1,3,5,7}:{(165,1),(166,1),(167,1),(169,1),(174,1)}
       173:{3,4,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{1,4,7}:{(171,1),(172,1),(173,1)}

1860 :   0:{3,4,5,6,7}:{(1,1),(2,1),(13,1),(91,1)}
         1:{1,4,5,6,7}:{(0,1),(4,1),(97,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(99,1)}
         3:{1,3,4,5,6}:{(7,1),(8,1),(47,1),(50,1),(98,1)}
         4:{1,3,5,6,7}:{(1,1),(9,1),(11,1),(13,1),(87,1)}
         5:{2,3,5,6,7}:{(2,1),(10,1),(12,1),(13,1),(89,1)}
         6:{1,2,4,5,6,7}:{(1,1),(2,1),(11,1),(12,1),(13,1),(31,1),(32,1),(61,1)}
         7:{1,3,4,5,7}:{(3,1),(9,1),(14,1),(33,1),(64,1),(87,1)}
         8:{1,2,4,5,6}:{(3,1),(14,1),(15,1),(36,1),(62,1),(88,1)}
         9:{1,3,4,6,7}:{(4,1),(7,1),(18,1),(22,1)}
        10:{2,3,4,6,7}:{(5,1),(17,1),(19,1),(22,1)}
        11:{1,2,5,6,7}:{(4,1),(18,1),(20,1),(73,1)}
        12:{1,2,5,6,7}:{(5,1),(19,1),(21,1),(76,1)}
        13:{3,5,6,7}:{(6,1),(22,1),(78,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(18,1),(23,1),(45,1),(48,1),(73,1)}
        15:{2,3,5,6}:{(8,1),(23,1),(25,1)}
        16:{2,3,4,5,6}:{(17,1),(26,1),(47,1),(82,1),(100,1)}
        17:{2,3,4,5,7}:{(10,1),(16,1),(27,1),(33,1),(84,1),(89,1)}
        18:{1,2,4,6,7}:{(9,1),(11,1),(14,1),(28,1),(31,1)}
        19:{1,2,4,6,7}:{(10,1),(12,1),(27,1),(29,1),(32,1)}
        20:{2,3,5,6,7}:{(11,1),(13,1),(28,1),(31,1),(57,1)}
        21:{1,3,5,6,7}:{(12,1),(13,1),(29,1),(32,1),(59,1)}
        22:{3,4,6,7}:{(13,1),(31,1),(32,1),(33,1)}
        23:{2,3,5,7}:{(14,1),(15,1),(28,1),(35,1)}
        24:{1,2,3,5,6}:{(15,1),(34,1),(36,1),(67,1),(88,1),(93,1)}
        25:{2,3,4,6}:{(15,1),(35,1),(36,1),(37,1)}
        26:{1,2,4,5,6}:{(16,1),(27,1),(38,1),(63,1),(68,1),(90,1)}
        27:{1,2,4,5,7}:{(17,1),(19,1),(26,1),(39,1),(46,1),(70,1),(76,1)}
        28:{2,3,6,7}:{(18,1),(23,1)}
        29:{1,3,6,7}:{(19,1),(39,1)}
        30:{1,2,3,5,6,7}:{(20,1),(21,1),(40,1),(42,1),(44,1),(73,1),(76,1),(78,1),(98,1),(100,1)}
        31:{2,4,6,7}:{(20,1),(22,1),(45,1)}
        32:{1,4,6,7}:{(21,1),(22,1),(46,1)}
        33:{3,4,5,7}:{(22,1),(45,1),(46,1),(47,1),(78,1)}
        34:{1,2,3,5,7}:{(23,1),(24,1),(40,1),(48,1),(73,1),(80,1)}
        35:{2,3,4,7}:{(23,1),(25,1),(48,1)}
        36:{1,2,4,6}:{(24,1),(25,1),(48,1),(50,1),(51,1)}
        37:{2,3,4,5}:{(25,1),(51,1)}
        38:{1,3,5,6}:{(26,1),(39,1),(53,1)}
        39:{1,3,5,7}:{(27,1),(29,1),(38,1),(55,1)}
        40:{1,2,3,6,7}:{(28,1),(34,1),(56,1),(93,1)}
        41:{2,3,4,6,7}:{(28,1),(31,1),(35,1),(56,1),(57,1),(60,1),(66,1)}
        42:{1,2,3,6,7}:{(29,1),(54,1),(58,1),(102,1)}
        43:{1,3,4,6,7}:{(29,1),(32,1),(55,1),(58,1),(59,1),(60,1),(86,1)}
        44:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(60,1),(61,1),(103,1),(104,1)}
        45:{2,4,5,7}:{(31,1),(33,1),(57,1),(62,1)}
        46:{1,4,5,7}:{(32,1),(33,1),(59,1),(63,1)}
        47:{3,4,5,6}:{(33,1),(62,1),(63,1),(92,1)}
        48:{1,2,4,7}:{(34,1),(35,1),(36,1),(64,1)}
        49:{2,3,4,5,7}:{(35,1),(37,1),(57,1),(65,1),(66,1),(91,1)}
        50:{1,3,4,6}:{(36,1),(64,1),(67,1),(93,1)}
        51:{1,2,4,5}:{(36,1),(37,1),(67,1)}
        52:{1,2,3,5,6}:{(38,1),(54,1),(68,1),(90,1),(94,1),(102,1)}
        53:{1,3,4,6}:{(38,1),(55,1),(68,1),(69,1)}
        54:{1,2,3,5,7}:{(39,1),(42,1),(52,1),(70,1),(76,1),(95,1)}
        55:{1,3,4,7}:{(39,1),(53,1),(70,1)}
        56:{1,2,4,6,7}:{(40,1),(41,1),(48,1),(72,1),(73,1),(81,1)}
        57:{2,3,5,7}:{(41,1),(45,1),(73,1),(74,1),(78,1)}
        58:{1,2,4,6,7}:{(42,1),(43,1),(70,1),(75,1),(76,1),(96,1)}
        59:{1,3,5,7}:{(43,1),(46,1),(76,1),(77,1),(78,1)}
        60:{3,4,6,7}:{(44,1),(78,1),(101,1)}
        61:{1,2,4,5,7}:{(44,1),(45,1),(46,1),(73,1),(76,1),(78,1),(79,1),(97,1),(99,1)}
        62:{2,4,5,6}:{(45,1),(47,1),(74,1)}
        63:{1,4,5,6}:{(46,1),(47,1),(77,1)}
        64:{1,3,4,7}:{(48,1),(50,1),(80,1)}
        65:{1,2,4,5,7}:{(48,1),(49,1),(51,1),(73,1),(80,1),(81,1),(97,1)}
        66:{2,3,4,6}:{(49,1),(74,1),(81,1),(101,1)}
        67:{1,3,5}:{(50,1),(51,1)}
        68:{1,2,4,6}:{(52,1),(53,1),(70,1),(82,1),(83,1)}
        69:{1,3,4,5}:{(53,1),(83,1)}
        70:{1,2,4,7}:{(54,1),(55,1),(68,1),(84,1)}
        71:{1,3,4,5,7}:{(55,1),(59,1),(69,1),(85,1),(86,1),(91,1)}
        72:{1,3,4,6,7}:{(56,1),(60,1),(64,1),(87,1),(93,1),(103,1)}
        73:{1,2,5,7}:{(56,1),(57,1),(87,1),(88,1)}
        74:{2,3,5,6}:{(57,1),(62,1),(66,1),(88,1),(92,1)}
        75:{2,3,4,6,7}:{(58,1),(60,1),(84,1),(89,1),(102,1),(104,1)}
        76:{1,2,5,7}:{(58,1),(59,1),(89,1),(90,1)}
        77:{1,3,5,6}:{(59,1),(63,1),(86,1),(90,1),(92,1)}
        78:{3,5,7}:{(60,1),(61,1),(92,1)}
        79:{1,2,4,5,6}:{(61,1),(62,1),(63,1),(88,1),(90,1),(92,1),(103,1),(104,1)}
        80:{1,3,5,7}:{(64,1),(65,1),(67,1),(93,1)}
        81:{1,2,4,6}:{(65,1),(66,1),(88,1),(93,1),(103,1)}
        82:{2,3,4,6}:{(68,1),(84,1),(94,1),(102,1)}
        83:{1,2,4,5}:{(68,1),(69,1),(94,1)}
        84:{2,3,4,7}:{(70,1),(82,1),(95,1)}
        85:{1,2,4,5,7}:{(70,1),(71,1),(76,1),(83,1),(95,1),(96,1),(99,1)}
        86:{1,3,4,6}:{(71,1),(77,1),(96,1),(101,1)}
        87:{1,3,5,7}:{(72,1),(73,1),(78,1),(97,1),(98,1)}
        88:{1,2,5,6}:{(73,1),(74,1),(81,1),(98,1)}
        89:{2,3,5,7}:{(75,1),(76,1),(78,1),(99,1),(100,1)}
        90:{1,2,5,6}:{(76,1),(77,1),(96,1),(100,1)}
        91:{3,4,5,7}:{(78,1),(97,1),(99,1),(101,1)}
        92:{3,5,6}:{(78,1),(79,1),(101,1)}
        93:{1,3,6}:{(80,1),(81,1)}
        94:{2,3,5}:{(82,1),(83,1)}
        95:{2,3,5,7}:{(84,1),(85,1),(94,1),(102,1)}
        96:{1,2,4,6}:{(85,1),(86,1),(90,1),(102,1),(104,1)}
        97:{1,4,5,7}:{(87,1),(91,1),(103,1)}
        98:{1,3,5,6}:{(87,1),(88,1),(92,1),(93,1),(103,1)}
        99:{2,4,5,7}:{(89,1),(91,1),(104,1)}
       100:{2,3,5,6}:{(89,1),(90,1),(92,1),(102,1),(104,1)}
       101:{3,4,6}:{(91,1),(92,1),(103,1),(104,1)}
       102:{2,3,6}:{(95,1),(96,1)}
       103:{1,4,6}:{(97,1),(98,1),(101,1)}
       104:{2,4,6}:{(99,1),(100,1),(101,1)}

1861 :   0:{2,3,4,6,7}:{(3,1),(4,1),(19,1),(21,1),(55,1),(57,1),(59,1),(92,1),(96,1),(117,1),(123,1)}
         1:{1,3,5,6,7}:{(6,1),(7,1),(25,1),(32,1),(34,1),(37,1),(72,1)}
         2:{2,3,5,6,7}:{(6,1),(8,1),(9,1),(33,1),(34,1),(62,1),(73,1)}
         3:{1,2,4,6,7}:{(0,1),(10,1),(11,1),(36,1),(38,1),(40,1),(74,1),(110,1),(128,1)}
         4:{2,3,5,7}:{(0,1),(9,1),(11,1),(12,1),(33,1),(41,1),(112,1),(127,1)}
         5:{1,3,4,6,7}:{(13,1),(14,1),(18,1),(44,1),(54,1),(83,1),(85,1),(91,1),(95,1),(116,1),(123,1)}
         6:{1,2,5,6,7}:{(1,1),(2,1),(17,1),(20,1),(43,1),(52,1),(53,1),(93,1)}
         7:{1,4,6,7}:{(1,1),(15,1),(18,1),(44,1),(56,1),(91,1)}
         8:{2,4,6,7}:{(2,1),(16,1),(19,1),(21,1),(82,1),(92,1)}
         9:{2,3,5,6}:{(4,1),(20,1),(21,1),(50,1),(57,1)}
        10:{1,3,6,7}:{(3,1),(22,1),(57,1),(123,1),(134,1)}
        11:{1,2,5,7}:{(3,1),(4,1),(20,1),(22,1),(53,1),(133,1)}
        12:{2,4,5,7}:{(4,1),(21,1),(24,1),(92,1),(121,1)}
        13:{1,2,4,6,7}:{(5,1),(26,1),(27,1),(35,1),(63,1),(65,1),(74,1),(110,1),(113,1)}
        14:{1,3,5,7}:{(5,1),(25,1),(27,1),(28,1),(32,1),(66,1),(111,1),(126,1)}
        15:{1,4,5,7}:{(7,1),(29,1),(32,1),(75,1)}
        16:{2,4,5,7}:{(8,1),(30,1),(33,1),(99,1)}
        17:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(31,1),(34,1),(35,1),(36,1),(38,1),(63,1),(74,1),(110,1)}
        18:{3,4,6,7}:{(7,1),(32,1),(34,1),(35,1),(64,1),(71,1),(76,1)}
        19:{3,4,6,7}:{(8,1),(33,1),(34,1),(36,1),(39,1),(71,1),(100,1)}
        20:{1,2,5,6}:{(9,1),(11,1),(37,1),(38,1),(70,1),(112,1)}
        21:{2,4,6}:{(9,1),(12,1),(39,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(37,1),(40,1),(41,1),(137,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(42,1),(75,1),(80,1),(81,1),(110,1),(112,1),(130,1)}
        24:{3,4,5,7}:{(12,1),(33,1),(39,1),(41,1),(42,1),(71,1),(106,1)}
        25:{1,3,5,6}:{(14,1),(43,1),(44,1),(49,1),(83,1)}
        26:{2,3,6,7}:{(13,1),(45,1),(83,1),(123,1),(125,1)}
        27:{1,2,5,7}:{(13,1),(14,1),(43,1),(45,1),(52,1),(124,1)}
        28:{1,4,5,7}:{(14,1),(44,1),(47,1),(91,1),(120,1)}
        29:{1,4,5,6}:{(15,1),(44,1),(49,1)}
        30:{2,4,5,6}:{(16,1),(21,1),(50,1)}
        31:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(48,1),(51,1),(52,1),(53,1),(91,1),(92,1),(93,1)}
        32:{3,5,7}:{(15,1),(18,1),(49,1),(52,1),(94,1)}
        33:{3,5,7}:{(16,1),(19,1),(50,1),(53,1),(115,1)}
        34:{3,6,7}:{(17,1),(51,1),(57,1),(83,1),(123,1)}
        35:{2,4,6,7}:{(18,1),(52,1),(55,1),(84,1),(92,1),(96,1)}
        36:{1,4,6,7}:{(19,1),(53,1),(54,1),(58,1),(91,1),(116,1)}
        37:{1,3,5,6}:{(20,1),(22,1),(56,1),(57,1),(94,1)}
        38:{1,2,4,6}:{(20,1),(21,1),(23,1),(56,1),(57,1),(58,1),(96,1),(97,1)}
        39:{3,4,6}:{(21,1),(24,1),(50,1),(57,1),(58,1)}
        40:{1,4,7}:{(22,1),(56,1),(59,1),(139,1)}
        41:{3,5,7}:{(23,1),(57,1),(59,1),(94,1),(123,1),(135,1)}
        42:{1,4,5,7}:{(24,1),(53,1),(58,1),(60,1),(91,1),(120,1)}
        43:{1,2,5,6}:{(25,1),(27,1),(62,1),(63,1),(69,1),(126,1)}
        44:{1,4,6}:{(25,1),(28,1),(64,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(62,1),(65,1),(66,1),(132,1)}
        46:{1,2,4,5,7}:{(27,1),(28,1),(63,1),(65,1),(66,1),(67,1),(99,1),(103,1),(105,1),(110,1),(126,1),(130,1)}
        47:{3,4,5,7}:{(28,1),(32,1),(64,1),(66,1),(67,1),(71,1),(106,1)}
        48:{1,2,4,5,6}:{(29,1),(30,1),(31,1),(38,1),(63,1),(68,1),(69,1),(70,1),(75,1),(99,1),(107,1),(108,1),(109,1),(112,1),(126,1),(130,1)}
        49:{3,5,6}:{(29,1),(32,1),(64,1),(69,1)}
        50:{3,5,6}:{(30,1),(33,1),(39,1),(70,1)}
        51:{3,5,7}:{(31,1),(34,1),(68,1),(71,1)}
        52:{2,5,7}:{(32,1),(35,1),(69,1),(112,1)}
        53:{1,5,7}:{(33,1),(36,1),(70,1),(126,1)}
        54:{1,3,6,7}:{(34,1),(36,1),(72,1),(74,1),(77,1),(101,1)}
        55:{2,3,6,7}:{(34,1),(35,1),(73,1),(74,1),(78,1),(102,1)}
        56:{1,4,6}:{(37,1),(40,1),(75,1),(76,1)}
        57:{3,6}:{(38,1),(41,1)}
        58:{1,4,6}:{(39,1),(42,1),(70,1),(77,1)}
        59:{3,4,7}:{(40,1),(41,1),(76,1),(80,1),(138,1)}
        60:{1,3,5,7}:{(41,1),(42,1),(77,1),(79,1),(81,1),(111,1)}
        61:{2,3,5,7}:{(41,1),(78,1),(80,1),(81,1),(112,1),(114,1),(132,1)}
        62:{2,3,5,6}:{(43,1),(45,1),(82,1),(83,1),(115,1)}
        63:{1,2,4,6}:{(43,1),(44,1),(46,1),(82,1),(83,1),(84,1),(116,1),(118,1)}
        64:{3,4,6}:{(44,1),(47,1),(49,1),(83,1),(84,1)}
        65:{2,4,7}:{(45,1),(82,1),(85,1),(136,1)}
        66:{3,5,7}:{(46,1),(83,1),(85,1),(115,1),(123,1),(135,1)}
        67:{2,4,5,7}:{(47,1),(52,1),(84,1),(87,1),(92,1),(121,1)}
        68:{3,5,6}:{(48,1),(51,1),(57,1),(83,1),(88,1),(94,1),(115,1),(135,1)}
        69:{2,5,6}:{(49,1),(52,1),(84,1)}
        70:{1,5,6}:{(50,1),(53,1),(58,1)}
        71:{3,4,7}:{(51,1),(88,1),(91,1),(92,1),(123,1)}
        72:{1,3,5,7}:{(51,1),(53,1),(54,1),(89,1),(91,1),(93,1),(123,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(55,1),(90,1),(92,1),(93,1),(123,1)}
        74:{1,2,6,7}:{(54,1),(55,1),(93,1),(97,1),(118,1)}
        75:{1,4,5}:{(56,1),(94,1)}
        76:{3,4,6}:{(56,1),(57,1),(59,1),(94,1),(96,1)}
        77:{1,3,6}:{(57,1),(58,1),(60,1),(97,1)}
        78:{2,3,6}:{(57,1),(61,1),(96,1),(97,1)}
        79:{1,3,4,7}:{(59,1),(60,1),(91,1),(95,1),(98,1),(123,1)}
        80:{2,4,7}:{(59,1),(61,1),(96,1),(136,1)}
        81:{1,2,5,7}:{(60,1),(61,1),(97,1),(98,1),(124,1)}
        82:{2,4,6}:{(62,1),(65,1),(99,1),(100,1)}
        83:{3,6}:{(63,1),(66,1)}
        84:{2,4,6}:{(64,1),(67,1),(69,1),(102,1)}
        85:{3,4,7}:{(65,1),(66,1),(100,1),(103,1),(138,1)}
        86:{1,3,5,7}:{(66,1),(101,1),(103,1),(105,1),(126,1),(129,1),(137,1)}
        87:{2,3,5,7}:{(66,1),(67,1),(102,1),(104,1),(105,1),(127,1)}
        88:{3,4,6}:{(68,1),(71,1),(106,1),(107,1),(108,1),(131,1),(138,1)}
        89:{1,3,5,6}:{(68,1),(70,1),(72,1),(77,1),(101,1),(107,1),(109,1),(111,1),(126,1),(131,1),(137,1)}
        90:{2,3,5,6}:{(68,1),(69,1),(73,1),(78,1),(102,1),(108,1),(109,1),(112,1),(127,1),(131,1),(132,1)}
        91:{1,4,7}:{(71,1),(72,1),(107,1)}
        92:{2,4,7}:{(71,1),(73,1),(108,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(109,1),(110,1)}
        94:{3,5}:{(75,1),(76,1),(112,1)}
        95:{1,3,4,6}:{(76,1),(77,1),(79,1),(107,1),(111,1),(113,1),(131,1),(138,1)}
        96:{2,4,6}:{(76,1),(78,1),(80,1),(112,1)}
        97:{1,2,6}:{(77,1),(78,1),(81,1)}
        98:{1,2,4,7}:{(79,1),(80,1),(81,1),(113,1),(114,1)}
        99:{2,4,5}:{(82,1),(115,1)}
       100:{3,4,6}:{(82,1),(83,1),(85,1),(115,1),(116,1)}
       101:{1,3,6}:{(83,1),(86,1),(116,1),(118,1)}
       102:{2,3,6}:{(83,1),(84,1),(87,1),(118,1)}
       103:{1,4,7}:{(85,1),(86,1),(116,1),(139,1)}
       104:{2,3,4,7}:{(85,1),(87,1),(92,1),(117,1),(119,1),(123,1)}
       105:{1,2,5,7}:{(86,1),(87,1),(118,1),(119,1),(133,1)}
       106:{3,4,5}:{(88,1),(94,1),(115,1),(120,1),(121,1),(135,1)}
       107:{1,4,6}:{(88,1),(89,1),(91,1),(120,1),(139,1)}
       108:{2,4,6}:{(88,1),(90,1),(92,1),(121,1),(136,1)}
       109:{1,2,5,6}:{(89,1),(90,1),(93,1),(97,1),(118,1),(122,1),(124,1),(133,1)}
       110:{1,2,4,7}:{(91,1),(92,1),(93,1),(122,1),(123,1)}
       111:{1,3,5}:{(94,1),(95,1),(120,1),(124,1),(135,1)}
       112:{2,5}:{(94,1),(96,1)}
       113:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(124,1),(125,1),(136,1)}
       114:{2,3,7}:{(98,1),(123,1),(125,1)}
       115:{3,5}:{(99,1),(100,1),(126,1)}
       116:{1,4,6}:{(100,1),(101,1),(103,1),(126,1)}
       117:{2,3,4,6}:{(100,1),(102,1),(104,1),(108,1),(127,1),(128,1),(131,1),(138,1)}
       118:{1,2,6}:{(101,1),(102,1),(105,1)}
       119:{1,2,4,7}:{(103,1),(104,1),(105,1),(128,1),(129,1)}
       120:{1,4,5}:{(106,1),(107,1),(111,1),(126,1)}
       121:{2,4,5}:{(106,1),(108,1),(112,1),(127,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(110,1),(130,1),(131,1)}
       123:{3,7}:{(110,1),(131,1)}
       124:{1,2,5}:{(111,1),(112,1),(113,1),(132,1)}
       125:{2,3,6}:{(113,1),(114,1),(131,1),(132,1)}
       126:{1,5}:{(115,1),(116,1)}
       127:{2,3,5}:{(115,1),(117,1),(121,1),(133,1),(135,1)}
       128:{1,2,4,6}:{(116,1),(117,1),(118,1),(119,1),(133,1),(134,1),(139,1)}
       129:{1,3,7}:{(119,1),(123,1),(134,1)}
       130:{1,2,4,5}:{(120,1),(121,1),(122,1),(124,1),(133,1),(135,1),(136,1),(139,1)}
       131:{3,6}:{(122,1),(123,1),(135,1)}
       132:{2,3,5}:{(124,1),(125,1),(135,1),(136,1)}
       133:{1,2,5}:{(126,1),(127,1),(128,1),(137,1)}
       134:{1,3,6}:{(128,1),(129,1),(131,1),(137,1)}
       135:{3,5}:{(130,1),(131,1),(138,1)}
       136:{2,4}:{(132,1),(138,1)}
       137:{1,3,5}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,4}:{(135,1),(136,1),(139,1)}
       139:{1,4}:{(137,1),(138,1)}

1862 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(31,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(42,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(14,1),(34,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(7,1),(19,1),(38,1),(39,1),(42,1),(43,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(19,1)}
        7:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(47,1),(48,1)}
        8:{1,2,4,5,6}:{(5,1),(12,1),(14,1),(32,1),(33,1),(34,1)}
        9:{3,4,6}:{(5,1),(6,1),(14,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(29,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(30,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(19,1),(40,1),(41,1),(42,1)}
       13:{3,4,6,7}:{(7,1),(9,1),(19,1)}
       14:{3,5,6}:{(8,1),(9,1),(19,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(23,1),(25,1),(58,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(24,1),(25,1),(58,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(42,1),(57,1),(59,1)}
       18:{1,2,4,5,6,7}:{(12,1),(27,1),(47,1),(48,1),(49,1)}
       19:{3,5,7}:{(12,1),(13,1),(14,1)}
       20:{1,3,4,6,7}:{(13,1),(15,1),(29,1),(31,1),(47,1),(60,1),(61,1)}
       21:{2,3,4,6,7}:{(13,1),(16,1),(30,1),(31,1),(48,1),(60,1),(61,1)}
       22:{3,4,5,6}:{(14,1),(28,1),(32,1),(33,1),(52,1)}
       23:{1,3,5,6}:{(14,1),(15,1),(29,1),(32,1),(34,1),(52,1)}
       24:{2,3,5,6}:{(14,1),(16,1),(30,1),(33,1),(34,1),(52,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,5,6,7}:{(18,1),(19,1),(37,1)}
       28:{3,4,5,7}:{(19,1),(22,1),(37,1),(40,1),(41,1),(56,1)}
       29:{1,3,5,7}:{(19,1),(20,1),(23,1),(40,1),(42,1),(56,1)}
       30:{2,3,5,7}:{(19,1),(21,1),(24,1),(41,1),(42,1),(56,1)}
       31:{1,2,4,6,7}:{(20,1),(21,1),(25,1),(42,1),(43,1),(57,1)}
       32:{1,4,5,6}:{(22,1),(23,1),(40,1)}
       33:{2,4,5,6}:{(22,1),(24,1),(41,1)}
       34:{1,2,5,6}:{(23,1),(24,1),(25,1),(42,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(57,1)}
       37:{3,4,6,7}:{(27,1),(28,1),(47,1),(48,1),(60,1)}
       38:{1,3,5,6,7}:{(27,1),(29,1),(47,1),(49,1),(60,1)}
       39:{2,3,5,6,7}:{(27,1),(30,1),(48,1),(49,1),(60,1)}
       40:{1,4,5,7}:{(28,1),(29,1),(32,1),(47,1)}
       41:{2,4,5,7}:{(28,1),(30,1),(33,1),(48,1)}
       42:{1,2,5,7}:{(29,1),(30,1),(31,1),(34,1)}
       43:{1,2,3,6,7}:{(31,1),(35,1),(51,1),(60,1)}
       44:{1,2,4,5,6}:{(32,1),(33,1),(34,1),(50,1),(52,1),(53,1)}
       45:{1,2,3,5,6}:{(34,1),(35,1),(51,1),(52,1),(53,1),(54,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(40,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(41,1)}
       49:{1,2,5,6,7}:{(38,1),(39,1),(42,1),(55,1)}
       50:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(44,1),(55,1),(56,1),(57,1)}
       51:{1,2,3,5,7}:{(42,1),(43,1),(45,1),(56,1),(57,1)}
       52:{3,5,6}:{(44,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(45,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(50,1),(60,1)}
       56:{3,5,7}:{(50,1),(52,1),(60,1),(61,1)}
       57:{1,2,4,7}:{(51,1),(53,1),(61,1)}
       58:{3,4,6}:{(52,1),(53,1),(61,1),(62,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(58,1),(59,1)}

1863 :   0:{1,3,4,5,7}:{(2,1),(3,1),(17,1),(25,1),(72,1),(114,1),(118,1),(124,1),(169,1),(173,1)}
         1:{2,3,4,5,7}:{(4,1),(5,1),(19,1),(21,1),(68,1),(113,1),(119,1),(128,1),(169,1),(176,1)}
         2:{1,2,4,5,7}:{(0,1),(8,1),(9,1),(35,1),(40,1),(86,1),(93,1),(95,1)}
         3:{1,3,4,6}:{(0,1),(9,1),(10,1),(96,1),(148,1),(188,1),(192,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(38,1),(40,1),(90,1),(93,1),(99,1)}
         5:{2,3,4,6}:{(1,1),(12,1),(13,1),(100,1),(143,1),(188,1),(194,1)}
         6:{1,3,4,6,7}:{(3,1),(16,1),(17,1),(55,1),(108,1),(114,1),(166,1)}
         7:{2,3,4,6,7}:{(5,1),(18,1),(19,1),(30,1),(77,1),(119,1),(134,1)}
         8:{2,3,5,7}:{(2,1),(21,1),(22,1),(68,1),(169,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(22,1),(23,1),(69,1)}
        10:{1,3,5,6}:{(3,1),(17,1),(23,1),(24,1),(70,1),(72,1),(200,1)}
        11:{1,3,5,7}:{(4,1),(25,1),(26,1),(72,1),(169,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(26,1),(27,1),(73,1)}
        13:{2,3,5,6}:{(5,1),(19,1),(27,1),(28,1),(68,1),(74,1),(185,1)}
        14:{2,3,5,6,7}:{(19,1),(29,1),(30,1),(31,1),(77,1),(112,1)}
        15:{2,4,5,6,7}:{(30,1),(31,1),(164,1)}
        16:{1,2,4,6,7}:{(6,1),(9,1),(34,1),(35,1),(86,1)}
        17:{1,3,5,7}:{(6,1),(10,1),(35,1),(36,1),(87,1),(187,1)}
        18:{1,2,4,6,7}:{(7,1),(12,1),(37,1),(38,1),(90,1)}
        19:{2,3,5,7}:{(7,1),(13,1),(38,1),(39,1),(91,1),(163,1)}
        20:{1,2,3,5,7}:{(8,1),(11,1),(40,1),(41,1),(93,1)}
        21:{2,3,4,7}:{(8,1),(40,1),(42,1),(86,1),(142,1)}
        22:{2,3,6}:{(8,1),(9,1),(188,1)}
        23:{1,2,5,6}:{(9,1),(10,1),(35,1),(43,1),(93,1)}
        24:{1,4,5,6}:{(10,1),(36,1),(45,1),(99,1),(148,1)}
        25:{1,3,4,7}:{(11,1),(40,1),(46,1),(90,1),(142,1)}
        26:{1,3,6}:{(11,1),(12,1),(188,1)}
        27:{1,2,5,6}:{(12,1),(13,1),(38,1),(47,1),(93,1)}
        28:{2,4,5,6}:{(13,1),(39,1),(49,1),(95,1),(143,1)}
        29:{1,2,5,6,7}:{(14,1),(38,1),(50,1),(51,1),(53,1),(140,1),(163,1)}
        30:{2,4,6,7}:{(14,1),(39,1),(52,1),(143,1)}
        31:{3,5,6,7}:{(15,1),(52,1),(53,1),(186,1)}
        32:{1,3,5,6,7}:{(17,1),(54,1),(55,1),(56,1),(108,1),(117,1)}
        33:{1,4,5,6,7}:{(55,1),(56,1),(132,1)}
        34:{2,3,6,7}:{(16,1),(22,1),(59,1),(108,1)}
        35:{1,2,5,7}:{(16,1),(17,1),(23,1),(59,1)}
        36:{1,4,5,7}:{(17,1),(24,1),(55,1),(61,1)}
        37:{1,3,6,7}:{(18,1),(26,1),(63,1),(77,1)}
        38:{1,2,5,7}:{(18,1),(19,1),(27,1),(63,1)}
        39:{2,4,5,7}:{(19,1),(28,1),(30,1),(65,1)}
        40:{1,2,4,7}:{(20,1),(21,1),(25,1),(66,1)}
        41:{1,2,3,6}:{(20,1),(22,1),(26,1),(66,1)}
        42:{2,3,4,6}:{(21,1),(22,1),(66,1),(68,1),(69,1),(123,1)}
        43:{2,3,5,6}:{(22,1),(23,1),(59,1),(68,1),(69,1),(70,1)}
        44:{1,2,4,5,6}:{(23,1),(24,1),(60,1),(69,1),(70,1),(71,1),(122,1),(125,1),(127,1),(164,1),(168,1),(200,1)}
        45:{3,4,5,6}:{(24,1),(61,1),(70,1),(71,1),(128,1),(175,1)}
        46:{1,3,4,6}:{(25,1),(26,1),(66,1),(72,1),(73,1),(123,1)}
        47:{1,3,5,6}:{(26,1),(27,1),(63,1),(72,1),(73,1),(74,1)}
        48:{1,2,4,5,6}:{(27,1),(28,1),(64,1),(73,1),(74,1),(75,1),(122,1),(130,1),(131,1),(132,1),(168,1),(185,1)}
        49:{3,4,5,6}:{(28,1),(65,1),(74,1),(75,1),(124,1),(172,1)}
        50:{1,3,5,6,7}:{(29,1),(63,1),(76,1),(77,1),(117,1),(133,1)}
        51:{1,2,4,6,7}:{(29,1),(30,1),(64,1),(76,1),(77,1),(78,1),(134,1),(135,1),(168,1)}
        52:{3,4,6,7}:{(30,1),(31,1),(65,1),(77,1),(78,1),(172,1)}
        53:{1,5,6,7}:{(31,1),(78,1),(200,1)}
        54:{1,2,5,6,7}:{(32,1),(35,1),(79,1),(80,1),(82,1),(140,1),(187,1)}
        55:{1,4,6,7}:{(32,1),(36,1),(81,1),(148,1)}
        56:{3,5,6,7}:{(33,1),(81,1),(82,1),(162,1)}
        57:{1,2,3,6,7}:{(34,1),(37,1),(41,1),(83,1),(84,1),(106,1),(138,1),(188,1),(208,1)}
        58:{2,3,4,6,7}:{(34,1),(42,1),(83,1),(85,1),(86,1),(137,1),(142,1),(143,1),(188,1)}
        59:{2,3,5,7}:{(34,1),(35,1),(43,1),(86,1),(87,1)}
        60:{1,2,4,5,7}:{(35,1),(36,1),(44,1),(80,1),(86,1),(87,1),(88,1),(136,1),(145,1),(147,1),(187,1)}
        61:{3,4,5,7}:{(36,1),(45,1),(81,1),(87,1),(88,1)}
        62:{1,3,4,6,7}:{(37,1),(46,1),(83,1),(89,1),(90,1),(104,1),(142,1),(148,1),(188,1)}
        63:{1,3,5,7}:{(37,1),(38,1),(47,1),(90,1),(91,1)}
        64:{1,2,4,5,7}:{(38,1),(39,1),(48,1),(51,1),(90,1),(91,1),(92,1),(103,1),(151,1),(152,1),(163,1)}
        65:{3,4,5,7}:{(39,1),(49,1),(52,1),(91,1),(92,1)}
        66:{1,2,4,6}:{(40,1),(41,1),(42,1),(46,1),(93,1)}
        67:{1,2,3,5,6}:{(41,1),(43,1),(47,1),(84,1),(93,1),(94,1),(97,1),(102,1),(140,1),(153,1),(188,1),(196,1),(197,1),(208,1)}
        68:{2,3,5}:{(42,1),(93,1),(95,1),(153,1)}
        69:{2,4,6}:{(43,1),(86,1),(95,1),(96,1)}
        70:{3,5,6}:{(44,1),(87,1),(96,1),(153,1),(188,1)}
        71:{2,4,5,6}:{(45,1),(88,1),(98,1),(160,1),(194,1)}
        72:{1,3,5}:{(46,1),(93,1),(99,1),(153,1)}
        73:{1,4,6}:{(47,1),(90,1),(99,1),(100,1)}
        74:{3,5,6}:{(48,1),(91,1),(100,1),(153,1),(188,1)}
        75:{1,4,5,6}:{(49,1),(92,1),(101,1),(156,1),(192,1)}
        76:{1,4,6,7}:{(50,1),(90,1),(103,1),(104,1),(148,1)}
        77:{3,6,7}:{(51,1),(91,1),(188,1)}
        78:{1,4,6,7}:{(52,1),(53,1),(92,1),(105,1),(192,1)}
        79:{2,3,5,6,7}:{(54,1),(59,1),(107,1),(108,1),(112,1),(165,1)}
        80:{1,2,4,6,7}:{(54,1),(55,1),(60,1),(107,1),(108,1),(109,1),(166,1),(167,1),(168,1)}
        81:{3,4,6,7}:{(55,1),(56,1),(61,1),(108,1),(109,1),(175,1)}
        82:{2,5,6,7}:{(56,1),(109,1),(185,1)}
        83:{1,2,4,6,7}:{(57,1),(58,1),(62,1),(66,1),(110,1),(111,1),(134,1),(166,1),(168,1)}
        84:{1,2,3,5,7}:{(57,1),(59,1),(63,1),(67,1),(110,1),(111,1),(115,1),(121,1),(169,1),(203,1),(204,1)}
        85:{2,3,5,7}:{(58,1),(68,1),(110,1),(112,1),(113,1),(165,1),(169,1)}
        86:{2,4,7}:{(59,1),(69,1),(114,1)}
        87:{3,5,7}:{(60,1),(70,1),(108,1),(114,1)}
        88:{2,4,5,7}:{(61,1),(71,1),(109,1),(116,1)}
        89:{1,3,5,7}:{(62,1),(72,1),(110,1),(117,1),(118,1),(133,1),(169,1)}
        90:{1,4,7}:{(63,1),(73,1),(119,1)}
        91:{3,5,7}:{(64,1),(74,1),(77,1),(119,1)}
        92:{1,4,5,7}:{(65,1),(75,1),(78,1),(120,1)}
        93:{1,2,5}:{(66,1),(68,1),(72,1)}
        94:{1,2,4,6}:{(67,1),(69,1),(73,1),(111,1),(122,1),(123,1),(125,1),(130,1)}
        95:{2,4,5}:{(68,1),(69,1),(124,1)}
        96:{3,4,6}:{(69,1),(70,1),(114,1),(124,1),(125,1)}
        97:{1,3,5,6}:{(70,1),(115,1),(125,1),(127,1),(178,1),(182,1),(200,1),(201,1)}
        98:{2,3,5,6}:{(70,1),(71,1),(116,1),(126,1),(127,1),(179,1),(202,1)}
        99:{1,4,5}:{(72,1),(73,1),(128,1)}
       100:{3,4,6}:{(73,1),(74,1),(119,1),(128,1),(130,1)}
       101:{1,3,5,6}:{(74,1),(75,1),(120,1),(129,1),(131,1),(178,1),(201,1)}
       102:{2,3,5,6}:{(74,1),(121,1),(130,1),(131,1),(179,1),(184,1),(185,1),(202,1)}
       103:{1,4,5,7}:{(76,1),(132,1),(133,1)}
       104:{3,4,6,7}:{(76,1),(77,1),(119,1),(133,1),(134,1),(175,1)}
       105:{1,3,6,7}:{(77,1),(78,1),(120,1),(135,1),(201,1)}
       106:{2,3,6,7}:{(77,1),(121,1),(134,1),(135,1),(202,1)}
       107:{2,4,6,7}:{(79,1),(86,1),(136,1),(137,1),(143,1)}
       108:{3,6,7}:{(80,1),(87,1),(188,1)}
       109:{2,4,6,7}:{(81,1),(82,1),(88,1),(139,1),(194,1)}
       110:{1,2,5,7}:{(83,1),(85,1),(89,1),(93,1),(140,1),(163,1),(187,1)}
       111:{1,2,4,7}:{(84,1),(86,1),(90,1),(94,1),(142,1),(145,1),(151,1)}
       112:{2,3,5,6}:{(85,1),(140,1),(143,1),(186,1),(188,1)}
       113:{2,4,5,7}:{(85,1),(86,1),(95,1),(143,1),(144,1)}
       114:{3,4,7}:{(86,1),(87,1),(96,1),(145,1)}
       115:{1,3,5,7}:{(87,1),(97,1),(138,1),(145,1),(147,1),(187,1),(193,1)}
       116:{2,3,5,7}:{(87,1),(88,1),(98,1),(139,1),(146,1),(147,1)}
       117:{1,3,5,6}:{(89,1),(140,1),(148,1),(162,1),(188,1)}
       118:{1,4,5,7}:{(89,1),(90,1),(99,1),(148,1),(149,1)}
       119:{3,4,7}:{(90,1),(91,1),(100,1),(151,1)}
       120:{1,3,5,7}:{(91,1),(92,1),(101,1),(105,1),(150,1),(152,1)}
       121:{2,3,5,7}:{(91,1),(102,1),(106,1),(151,1),(152,1),(163,1),(195,1)}
       122:{1,2,4,5}:{(93,1),(94,1),(95,1),(99,1),(153,1),(156,1),(160,1),(196,1)}
       123:{3,4,6}:{(94,1),(142,1),(153,1),(188,1)}
       124:{3,4,5}:{(95,1),(96,1),(153,1),(156,1)}
       125:{1,4,6}:{(96,1),(97,1),(145,1),(156,1)}
       126:{2,3,4,6}:{(96,1),(98,1),(146,1),(157,1),(158,1)}
       127:{1,2,5,6}:{(97,1),(98,1),(147,1),(158,1),(196,1),(208,1)}
       128:{3,4,5}:{(99,1),(100,1),(153,1),(160,1)}
       129:{1,3,4,6}:{(100,1),(101,1),(150,1),(159,1),(161,1)}
       130:{2,4,6}:{(100,1),(102,1),(151,1),(160,1)}
       131:{1,2,5,6}:{(101,1),(102,1),(152,1),(161,1),(196,1),(208,1)}
       132:{1,4,5,6}:{(103,1),(148,1),(162,1)}
       133:{3,5,7}:{(103,1),(104,1),(162,1),(163,1)}
       134:{2,4,6,7}:{(104,1),(106,1),(151,1),(163,1),(194,1)}
       135:{1,2,6,7}:{(105,1),(106,1),(152,1),(208,1)}
       136:{2,4,5,7}:{(107,1),(164,1),(165,1)}
       137:{3,4,6,7}:{(107,1),(108,1),(114,1),(165,1),(166,1),(172,1)}
       138:{1,3,6,7}:{(108,1),(115,1),(166,1),(167,1),(201,1)}
       139:{2,3,6,7}:{(108,1),(109,1),(116,1),(167,1),(202,1)}
       140:{1,2,5,6}:{(110,1),(112,1),(117,1),(168,1),(185,1),(200,1)}
       141:{1,2,4,5,7}:{(110,1),(111,1),(113,1),(118,1),(122,1),(168,1),(169,1),(173,1),(176,1),(203,1)}
       142:{3,4,7}:{(111,1),(123,1),(169,1)}
       143:{2,4,6}:{(112,1),(113,1),(172,1)}
       144:{3,4,5,7}:{(113,1),(114,1),(124,1),(165,1),(169,1),(172,1),(173,1)}
       145:{1,4,7}:{(114,1),(115,1),(125,1)}
       146:{2,3,4,7}:{(114,1),(116,1),(126,1),(174,1)}
       147:{1,2,5,7}:{(115,1),(116,1),(127,1),(167,1),(174,1)}
       148:{1,4,6}:{(117,1),(118,1),(175,1)}
       149:{3,4,5,7}:{(118,1),(119,1),(128,1),(133,1),(169,1),(175,1),(176,1)}
       150:{1,3,4,7}:{(119,1),(120,1),(129,1),(177,1)}
       151:{2,4,7}:{(119,1),(121,1),(130,1)}
       152:{1,2,5,7}:{(120,1),(121,1),(131,1),(135,1),(177,1)}
       153:{3,5}:{(122,1),(123,1)}
       154:{1,3,4,6}:{(123,1),(125,1),(170,1),(178,1),(180,1),(182,1),(201,1),(206,1)}
       155:{2,3,4,6}:{(123,1),(130,1),(171,1),(179,1),(180,1),(184,1),(202,1),(207,1)}
       156:{1,4,5}:{(124,1),(125,1),(178,1)}
       157:{2,3,4,5}:{(124,1),(126,1),(179,1),(181,1),(207,1)}
       158:{1,2,4,6}:{(125,1),(126,1),(127,1),(174,1),(181,1),(182,1)}
       159:{1,3,4,5}:{(128,1),(129,1),(178,1),(183,1),(206,1)}
       160:{2,4,5}:{(128,1),(130,1),(179,1)}
       161:{1,2,4,6}:{(129,1),(130,1),(131,1),(177,1),(183,1),(184,1)}
       162:{3,5,6}:{(132,1),(133,1),(175,1),(185,1)}
       163:{2,5,7}:{(133,1),(134,1),(185,1)}
       164:{2,4,5,6}:{(136,1),(143,1),(186,1)}
       165:{3,5,7}:{(136,1),(137,1),(186,1),(187,1)}
       166:{1,4,6,7}:{(137,1),(138,1),(145,1),(187,1),(192,1)}
       167:{1,2,6,7}:{(138,1),(139,1),(147,1),(208,1)}
       168:{1,2,4,6}:{(140,1),(141,1),(143,1),(148,1),(188,1),(192,1),(194,1),(208,1)}
       169:{3,5,7}:{(141,1),(142,1),(153,1),(188,1)}
       170:{1,3,4,7}:{(142,1),(145,1),(154,1),(189,1),(191,1),(193,1)}
       171:{2,3,4,7}:{(142,1),(151,1),(155,1),(190,1),(191,1),(195,1)}
       172:{3,4,6}:{(143,1),(144,1),(186,1),(188,1),(192,1)}
       173:{1,4,5,7}:{(144,1),(145,1),(156,1),(187,1),(189,1),(192,1)}
       174:{1,2,4,7}:{(145,1),(146,1),(147,1),(158,1),(193,1)}
       175:{3,4,6}:{(148,1),(149,1),(162,1),(188,1),(194,1)}
       176:{2,4,5,7}:{(149,1),(151,1),(160,1),(163,1),(190,1),(194,1)}
       177:{1,2,4,7}:{(150,1),(151,1),(152,1),(161,1),(195,1)}
       178:{1,3,5}:{(153,1),(154,1),(156,1),(196,1)}
       179:{2,3,5}:{(153,1),(155,1),(160,1),(196,1)}
       180:{1,2,4,6}:{(154,1),(155,1),(191,1),(196,1),(197,1),(208,1),(209,1)}
       181:{1,2,4,5}:{(156,1),(157,1),(158,1),(196,1),(198,1),(209,1)}
       182:{1,3,6}:{(158,1),(193,1),(198,1)}
       183:{1,2,4,5}:{(159,1),(160,1),(161,1),(196,1),(199,1),(209,1)}
       184:{2,3,6}:{(161,1),(195,1),(199,1)}
       185:{2,5,6}:{(162,1),(163,1),(194,1)}
       186:{3,5,6}:{(164,1),(165,1),(172,1),(200,1)}
       187:{1,5,7}:{(165,1),(166,1),(200,1)}
       188:{3,6}:{(168,1),(169,1)}
       189:{1,3,5,7}:{(169,1),(170,1),(173,1),(178,1),(201,1),(203,1)}
       190:{2,3,5,7}:{(169,1),(171,1),(176,1),(179,1),(202,1),(203,1)}
       191:{1,2,4,7}:{(170,1),(171,1),(180,1),(203,1),(204,1)}
       192:{1,4,6}:{(172,1),(173,1),(200,1),(201,1)}
       193:{1,3,7}:{(174,1),(182,1)}
       194:{2,4,6}:{(175,1),(176,1),(185,1),(202,1)}
       195:{2,3,7}:{(177,1),(184,1)}
       196:{1,2,5}:{(178,1),(179,1),(180,1)}
       197:{1,2,3,6}:{(180,1),(182,1),(184,1),(204,1),(205,1)}
       198:{1,3,5}:{(181,1),(182,1),(206,1)}
       199:{2,3,5}:{(183,1),(184,1),(207,1)}
       200:{1,5,6}:{(186,1),(187,1),(192,1)}
       201:{1,3,6}:{(188,1),(189,1),(192,1),(208,1)}
       202:{2,3,6}:{(188,1),(190,1),(194,1),(208,1)}
       203:{1,2,5,7}:{(189,1),(190,1),(191,1),(196,1),(208,1)}
       204:{1,2,3,7}:{(191,1),(193,1),(195,1),(197,1)}
       205:{1,2,3,5}:{(196,1),(197,1),(198,1),(199,1),(209,1)}
       206:{1,3,4}:{(198,1),(209,1)}
       207:{2,3,4}:{(199,1),(209,1)}
       208:{1,2,6}:{(201,1),(202,1),(203,1)}
       209:{1,2,4}:{(205,1),(206,1),(207,1)}

1864 :  0:{1,2,3,4,7}:{(1,1),(2,1),(30,1),(78,1)}
        1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(39,1),(68,1)}
        2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        3:{2,3,4,5,7}:{(4,1),(7,1),(18,1),(22,1),(43,1)}
        4:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(10,1),(26,1),(30,1)}
        5:{1,2,3,5}:{(1,1),(10,1)}
        6:{1,2,3,6}:{(2,1),(9,1)}
        7:{2,3,4,6}:{(3,1),(9,1),(13,1),(29,1)}
        8:{1,3,4,5,7}:{(4,1),(15,1),(18,1),(35,1),(43,1)}
        9:{1,2,4,6}:{(4,1),(6,1),(7,1),(15,1),(16,1)}
       10:{1,2,4,5}:{(5,1),(18,1),(19,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(16,1),(19,1),(20,1),(37,1),(65,1),(68,1)}
       12:{1,2,3,6,7}:{(6,1),(17,1),(20,1),(64,1),(82,1)}
       13:{2,3,5,6}:{(7,1),(16,1),(21,1),(22,1),(37,1)}
       14:{2,3,4,6,7}:{(7,1),(17,1),(22,1),(43,1),(44,1),(64,1)}
       15:{1,3,4,6}:{(8,1),(9,1),(23,1),(29,1)}
       16:{1,2,5,6}:{(9,1),(13,1),(23,1),(26,1)}
       17:{1,2,4,6,7}:{(9,1),(12,1),(14,1),(24,1),(26,1),(30,1)}
       18:{3,4,5}:{(10,1),(29,1)}
       19:{1,2,4,6}:{(10,1),(11,1),(29,1),(30,1)}
       20:{1,2,3,5,7}:{(11,1),(12,1),(26,1),(30,1),(53,1),(77,1),(78,1)}
       21:{2,4,5,6}:{(13,1),(32,1),(33,1)}
       22:{2,3,5,7}:{(13,1),(14,1),(26,1),(33,1),(53,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(34,1),(35,1),(37,1)}
       24:{1,3,4,6,7}:{(15,1),(17,1),(35,1),(43,1),(61,1),(64,1)}
       25:{1,2,4,5,6}:{(16,1),(19,1),(21,1),(34,1),(37,1),(38,1),(45,1),(62,1),(65,1)}
       26:{1,2,5,7}:{(16,1),(17,1),(22,1),(35,1)}
       27:{2,3,4,5}:{(18,1),(40,1),(41,1)}
       28:{1,3,4,5}:{(18,1),(40,1),(42,1)}
       29:{3,4,6}:{(18,1),(19,1),(37,1),(43,1)}
       30:{1,2,4,7}:{(19,1),(20,1),(43,1)}
       31:{2,3,5,6,7}:{(22,1),(36,1),(44,1),(64,1),(70,1)}
       32:{3,4,5,6}:{(21,1),(37,1),(45,1),(46,1)}
       33:{2,4,5,7}:{(21,1),(22,1),(44,1),(46,1)}
       34:{1,4,5,6}:{(23,1),(48,1),(49,1)}
       35:{1,3,5,7}:{(23,1),(24,1),(26,1),(49,1),(53,1)}
       36:{1,2,5,6,7}:{(26,1),(31,1),(47,1),(50,1),(79,1),(83,1)}
       37:{3,5,6}:{(25,1),(29,1),(53,1)}
       38:{1,2,4,5,7}:{(25,1),(26,1),(30,1),(33,1),(49,1),(50,1),(53,1),(60,1),(74,1),(77,1)}
       39:{1,2,3,4}:{(54,1)}
       40:{1,2,4,5}:{(27,1),(28,1),(54,1),(55,1)}
       41:{2,3,4,6}:{(27,1),(29,1),(51,1),(55,1),(56,1)}
       42:{1,3,4,6}:{(28,1),(29,1),(52,1),(55,1),(57,1)}
       43:{3,4,7}:{(29,1),(30,1),(53,1)}
       44:{2,4,6,7}:{(31,1),(33,1),(59,1)}
       45:{1,4,5,6}:{(32,1),(52,1),(60,1)}
       46:{3,4,5,7}:{(32,1),(33,1),(53,1),(59,1),(60,1)}
       47:{1,3,5,6,7}:{(35,1),(36,1),(61,1),(64,1),(80,1)}
       48:{3,4,5,6}:{(34,1),(37,1),(62,1),(63,1)}
       49:{1,4,5,7}:{(34,1),(35,1),(61,1),(63,1)}
       50:{1,2,4,6,7}:{(36,1),(38,1),(44,1),(61,1),(64,1),(71,1),(81,1),(82,1)}
       51:{2,3,5,6}:{(37,1),(41,1),(62,1),(65,1),(66,1)}
       52:{1,3,5,6}:{(37,1),(42,1),(45,1),(65,1),(67,1)}
       53:{3,5,7}:{(37,1),(38,1),(43,1),(64,1)}
       54:{1,2,3,5}:{(39,1),(40,1),(68,1)}
       55:{1,2,4,6}:{(40,1),(41,1),(42,1),(65,1),(68,1),(69,1)}
       56:{2,3,4,7}:{(41,1),(43,1),(66,1),(69,1)}
       57:{1,3,4,7}:{(42,1),(43,1),(67,1),(69,1)}
       58:{2,4,5,6,7}:{(44,1),(70,1)}
       59:{3,4,6,7}:{(44,1),(46,1),(64,1),(70,1),(71,1)}
       60:{1,4,5,7}:{(45,1),(46,1),(67,1),(71,1)}
       61:{1,4,6,7}:{(47,1),(49,1),(73,1)}
       62:{2,4,5,6}:{(48,1),(51,1),(74,1)}
       63:{3,4,5,7}:{(48,1),(49,1),(53,1),(73,1),(74,1)}
       64:{3,6,7}:{(50,1),(53,1)}
       65:{1,2,5,6}:{(51,1),(52,1),(55,1),(77,1)}
       66:{2,3,5,7}:{(51,1),(53,1),(56,1),(74,1),(75,1),(77,1)}
       67:{1,3,5,7}:{(52,1),(53,1),(57,1),(60,1),(76,1),(77,1)}
       68:{1,2,3,6}:{(54,1),(55,1),(78,1)}
       69:{1,2,4,7}:{(55,1),(56,1),(57,1),(77,1),(78,1)}
       70:{3,5,6,7}:{(58,1),(59,1),(79,1)}
       71:{1,4,6,7}:{(59,1),(60,1),(76,1),(79,1)}
       72:{1,4,5,6,7}:{(61,1),(80,1)}
       73:{3,4,6,7}:{(61,1),(63,1),(64,1),(80,1),(81,1)}
       74:{2,4,5,7}:{(62,1),(63,1),(66,1),(81,1)}
       75:{2,3,6,7}:{(64,1),(66,1),(81,1),(82,1)}
       76:{1,3,6,7}:{(64,1),(67,1),(71,1),(82,1)}
       77:{1,2,5,7}:{(65,1),(66,1),(67,1),(69,1),(82,1)}
       78:{1,2,3,7}:{(68,1),(69,1)}
       79:{1,5,6,7}:{(70,1),(71,1)}
       80:{3,5,6,7}:{(72,1),(73,1),(83,1)}
       81:{2,4,6,7}:{(73,1),(74,1),(75,1),(83,1)}
       82:{1,2,6,7}:{(75,1),(76,1),(77,1)}
       83:{2,5,6,7}:{(80,1),(81,1)}

1865 :   0:{1,2,3,6,7}:{(3,1),(4,1),(40,1),(48,1),(83,1),(84,1),(85,1),(104,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(15,1),(19,1),(41,1),(48,1),(53,1),(84,1),(99,1),(104,1)}
         2:{1,3,4,6,7}:{(4,1),(6,1),(15,1),(22,1),(42,1),(48,1),(57,1),(85,1),(100,1),(104,1)}
         3:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(26,1),(29,1),(58,1),(65,1),(94,1),(95,1)}
         4:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(30,1),(60,1),(71,1),(74,1),(96,1),(103,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(10,1),(11,1),(29,1),(61,1),(70,1)}
         6:{1,3,5,7}:{(2,1),(9,1),(12,1),(13,1),(29,1),(62,1),(73,1)}
         7:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(40,1),(43,1),(48,1),(79,1),(80,1),(81,1),(83,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(75,1),(99,1),(100,1)}
         9:{1,2,5,7}:{(4,1),(5,1),(6,1),(17,1),(79,1),(86,1),(87,1)}
        10:{2,4,5,7}:{(5,1),(18,1),(19,1),(76,1),(99,1)}
        11:{2,3,5,6}:{(5,1),(17,1),(19,1),(48,1),(50,1)}
        12:{1,4,5,7}:{(6,1),(21,1),(22,1),(77,1),(100,1)}
        13:{1,3,5,6}:{(6,1),(17,1),(22,1),(48,1),(54,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(90,1),(91,1)}
        15:{3,4,7}:{(8,1),(24,1),(29,1),(88,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(12,1),(25,1),(29,1),(30,1),(33,1),(37,1),(65,1),(89,1),(103,1)}
        17:{1,2,5,6}:{(9,1),(11,1),(13,1),(30,1),(69,1),(72,1)}
        18:{3,4,5,7}:{(10,1),(29,1),(33,1),(34,1),(59,1),(70,1),(92,1)}
        19:{2,4,6}:{(10,1),(11,1),(34,1)}
        20:{2,3,5,6,7}:{(11,1),(31,1),(35,1),(68,1),(70,1),(94,1)}
        21:{3,4,5,7}:{(12,1),(29,1),(37,1),(38,1),(59,1),(73,1),(92,1)}
        22:{1,4,6}:{(12,1),(13,1),(38,1)}
        23:{1,3,5,6,7}:{(13,1),(31,1),(39,1),(68,1),(73,1),(95,1)}
        24:{3,4,6}:{(14,1),(15,1),(43,1),(48,1)}
        25:{1,2,4,5}:{(14,1),(43,1),(76,1),(77,1),(79,1)}
        26:{1,2,3,7}:{(40,1),(45,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(41,1),(45,1),(46,1),(99,1),(104,1)}
        28:{1,3,4,7}:{(15,1),(42,1),(45,1),(47,1),(100,1),(104,1)}
        29:{3,5,7}:{(15,1),(16,1),(43,1),(48,1),(97,1),(104,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(19,1),(22,1),(48,1),(52,1),(56,1),(83,1)}
        31:{1,2,5,6,7}:{(17,1),(20,1),(23,1),(49,1),(86,1),(87,1),(101,1)}
        32:{2,4,5,6}:{(19,1),(50,1),(51,1)}
        33:{1,4,5,7}:{(18,1),(47,1),(52,1),(77,1),(86,1),(100,1)}
        34:{3,4,6}:{(18,1),(19,1),(48,1),(50,1),(52,1)}
        35:{2,4,6,7}:{(19,1),(20,1),(51,1),(53,1),(99,1)}
        36:{1,4,5,6}:{(22,1),(54,1),(55,1)}
        37:{2,4,5,7}:{(21,1),(46,1),(56,1),(76,1),(87,1),(99,1)}
        38:{3,4,6}:{(21,1),(22,1),(48,1),(54,1),(56,1)}
        39:{1,4,6,7}:{(22,1),(23,1),(55,1),(57,1),(100,1)}
        40:{1,2,3,6}:{(26,1),(58,1),(60,1),(102,1)}
        41:{2,3,4,6}:{(24,1),(27,1),(60,1),(61,1),(66,1),(88,1),(90,1),(102,1)}
        42:{1,3,4,6}:{(24,1),(28,1),(60,1),(62,1),(67,1),(88,1),(91,1),(102,1)}
        43:{3,5}:{(24,1),(25,1)}
        44:{1,2,4,5,6}:{(25,1),(30,1),(32,1),(36,1),(63,1),(64,1),(69,1),(72,1),(90,1),(91,1),(93,1)}
        45:{1,2,4,7}:{(26,1),(27,1),(28,1),(60,1),(65,1)}
        46:{2,3,5,7}:{(27,1),(29,1),(37,1),(61,1),(65,1),(66,1)}
        47:{1,3,5,7}:{(28,1),(29,1),(33,1),(62,1),(65,1),(67,1)}
        48:{3,6}:{(29,1),(30,1)}
        49:{1,2,4,6,7}:{(30,1),(31,1),(35,1),(39,1),(64,1),(68,1),(71,1),(74,1),(96,1),(103,1)}
        50:{3,5,6}:{(32,1),(34,1),(69,1),(70,1)}
        51:{2,4,5,7}:{(32,1),(35,1),(70,1)}
        52:{1,4,6}:{(33,1),(34,1),(67,1),(69,1)}
        53:{3,4,6,7}:{(34,1),(35,1),(68,1),(70,1),(71,1),(92,1)}
        54:{3,5,6}:{(36,1),(38,1),(72,1),(73,1)}
        55:{1,4,5,7}:{(36,1),(39,1),(73,1)}
        56:{2,4,6}:{(37,1),(38,1),(66,1),(72,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(68,1),(73,1),(74,1),(92,1)}
        58:{1,2,3,5}:{(40,1),(75,1),(79,1),(97,1)}
        59:{3,4,5}:{(43,1),(76,1),(77,1),(78,1),(97,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(42,1),(45,1),(75,1),(79,1),(83,1)}
        61:{2,3,5}:{(41,1),(43,1),(76,1),(79,1),(97,1)}
        62:{1,3,5}:{(42,1),(43,1),(77,1),(79,1),(97,1)}
        63:{3,5,6}:{(43,1),(44,1),(48,1),(78,1),(82,1)}
        64:{1,2,4,5,7}:{(44,1),(49,1),(51,1),(55,1),(82,1),(86,1),(87,1),(99,1),(100,1),(101,1)}
        65:{1,2,5,7}:{(45,1),(46,1),(47,1),(79,1),(83,1)}
        66:{2,3,6}:{(46,1),(48,1),(56,1),(83,1)}
        67:{1,3,6}:{(47,1),(48,1),(52,1),(83,1)}
        68:{3,6,7}:{(48,1),(49,1),(82,1),(104,1)}
        69:{1,5,6}:{(50,1),(52,1),(86,1)}
        70:{3,5,7}:{(50,1),(51,1),(53,1),(86,1)}
        71:{1,4,6,7}:{(52,1),(53,1),(85,1),(86,1),(100,1)}
        72:{2,5,6}:{(54,1),(56,1),(87,1)}
        73:{3,5,7}:{(54,1),(55,1),(57,1),(87,1)}
        74:{2,4,6,7}:{(56,1),(57,1),(84,1),(87,1),(99,1)}
        75:{1,2,4}:{(58,1),(88,1)}
        76:{2,4,5}:{(59,1),(61,1),(90,1)}
        77:{1,4,5}:{(59,1),(62,1),(91,1)}
        78:{3,4,6}:{(59,1),(63,1),(90,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(60,1),(61,1),(62,1)}
        80:{2,3,5,6}:{(61,1),(63,1),(66,1),(72,1),(90,1),(93,1),(94,1),(102,1)}
        81:{1,3,5,6}:{(62,1),(63,1),(67,1),(69,1),(91,1),(93,1),(95,1),(102,1)}
        82:{3,5,7}:{(63,1),(64,1),(68,1),(92,1)}
        83:{1,2,6}:{(65,1),(66,1),(67,1)}
        84:{2,3,6,7}:{(66,1),(68,1),(74,1),(94,1),(96,1)}
        85:{1,3,6,7}:{(67,1),(68,1),(71,1),(95,1),(96,1)}
        86:{1,5,7}:{(69,1),(70,1),(71,1)}
        87:{2,5,7}:{(72,1),(73,1),(74,1)}
        88:{3,4}:{(75,1),(97,1)}
        89:{1,2,4,5}:{(75,1),(76,1),(77,1),(79,1),(97,1),(98,1)}
        90:{2,4,6}:{(76,1),(78,1),(80,1),(99,1)}
        91:{1,4,6}:{(77,1),(78,1),(81,1),(100,1)}
        92:{3,4,7}:{(78,1),(82,1),(99,1),(100,1),(104,1)}
        93:{1,2,5,6}:{(79,1),(80,1),(81,1),(83,1),(98,1),(101,1)}
        94:{2,3,5,7}:{(80,1),(82,1),(84,1),(87,1),(99,1),(101,1),(104,1)}
        95:{1,3,5,7}:{(81,1),(82,1),(85,1),(86,1),(100,1),(101,1),(104,1)}
        96:{1,2,6,7}:{(83,1),(84,1),(85,1),(101,1)}
        97:{3,5}:{(88,1),(89,1),(102,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{2,4,7}:{(90,1),(92,1),(94,1)}
       100:{1,4,7}:{(91,1),(92,1),(95,1)}
       101:{1,2,5,7}:{(93,1),(94,1),(95,1),(96,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1866 :   0:{1,2,3,6,7}:{(3,1),(4,1),(48,1),(80,1),(83,1),(84,1),(85,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(42,1),(48,1),(52,1),(84,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(48,1),(54,1),(83,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(29,1),(61,1),(71,1),(72,1),(94,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(30,1),(69,1),(70,1),(90,1),(91,1),(93,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(11,1),(30,1),(60,1),(62,1)}
         6:{1,3,5,7}:{(2,1),(8,1),(12,1),(13,1),(30,1),(59,1),(64,1)}
         7:{1,2,3,5,6}:{(4,1),(14,1),(15,1),(40,1),(48,1),(77,1),(78,1),(79,1),(80,1),(85,1)}
         8:{1,2,5,7}:{(3,1),(5,1),(6,1),(15,1),(79,1),(81,1),(82,1)}
         9:{1,2,4,7}:{(4,1),(14,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(15,1),(19,1),(44,1),(48,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(75,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(15,1),(22,1),(46,1),(48,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(74,1),(95,1)}
        14:{1,2,4,6}:{(7,1),(9,1),(24,1),(25,1),(87,1),(88,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(12,1),(29,1),(63,1),(65,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(11,1),(13,1),(24,1),(29,1),(30,1),(35,1),(38,1),(69,1),(89,1),(101,1)}
        17:{3,4,7}:{(9,1),(25,1),(30,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(28,1),(33,1),(62,1),(66,1),(91,1)}
        19:{2,4,6}:{(10,1),(11,1),(34,1)}
        20:{3,4,5,7}:{(11,1),(30,1),(34,1),(35,1),(56,1),(62,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(28,1),(36,1),(64,1),(66,1),(90,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(30,1),(37,1),(38,1),(56,1),(64,1),(86,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(74,1),(75,1),(79,1)}
        25:{3,4,6}:{(14,1),(17,1),(40,1),(48,1)}
        26:{2,4,5,6}:{(19,1),(43,1),(44,1)}
        27:{1,4,5,6}:{(22,1),(45,1),(46,1)}
        28:{1,2,5,6,7}:{(15,1),(18,1),(21,1),(47,1),(81,1),(82,1),(99,1)}
        29:{1,2,4,6}:{(15,1),(16,1),(19,1),(22,1),(48,1),(53,1),(55,1),(85,1)}
        30:{3,5,7}:{(16,1),(17,1),(40,1),(48,1),(98,1),(104,1)}
        31:{1,3,4,7}:{(17,1),(41,1),(49,1),(51,1),(95,1),(104,1)}
        32:{2,3,4,7}:{(17,1),(42,1),(50,1),(51,1),(96,1),(104,1)}
        33:{2,4,6,7}:{(18,1),(19,1),(43,1),(52,1),(96,1)}
        34:{3,4,6}:{(19,1),(20,1),(44,1),(48,1),(53,1)}
        35:{1,4,5,7}:{(20,1),(49,1),(53,1),(74,1),(81,1),(95,1)}
        36:{1,4,6,7}:{(21,1),(22,1),(45,1),(54,1),(95,1)}
        37:{3,4,6}:{(22,1),(23,1),(46,1),(48,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(50,1),(55,1),(75,1),(82,1),(96,1)}
        39:{1,2,4,5,6}:{(24,1),(26,1),(27,1),(29,1),(57,1),(58,1),(63,1),(65,1),(87,1),(88,1),(92,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(31,1),(59,1),(61,1),(67,1),(87,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(32,1),(60,1),(61,1),(68,1),(88,1),(102,1),(103,1)}
        43:{2,4,5,7}:{(26,1),(33,1),(62,1)}
        44:{3,5,6}:{(26,1),(34,1),(62,1),(63,1)}
        45:{1,4,5,7}:{(27,1),(36,1),(64,1)}
        46:{3,5,6}:{(27,1),(37,1),(64,1),(65,1)}
        47:{1,2,4,6,7}:{(28,1),(29,1),(33,1),(36,1),(57,1),(66,1),(71,1),(72,1),(94,1),(101,1)}
        48:{3,6}:{(29,1),(30,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(35,1),(59,1),(67,1),(69,1)}
        50:{2,3,5,7}:{(30,1),(32,1),(38,1),(60,1),(68,1),(69,1)}
        51:{1,2,4,7}:{(31,1),(32,1),(61,1),(69,1),(70,1)}
        52:{3,4,6,7}:{(33,1),(34,1),(62,1),(66,1),(71,1),(86,1)}
        53:{1,4,6}:{(34,1),(35,1),(63,1),(67,1)}
        54:{3,4,6,7}:{(36,1),(37,1),(64,1),(66,1),(72,1),(86,1)}
        55:{2,4,6}:{(37,1),(38,1),(65,1),(68,1)}
        56:{3,4,5}:{(40,1),(73,1),(74,1),(75,1),(98,1)}
        57:{1,2,4,5,7}:{(39,1),(43,1),(45,1),(47,1),(76,1),(81,1),(82,1),(95,1),(96,1),(99,1)}
        58:{3,5,6}:{(39,1),(40,1),(48,1),(73,1),(76,1)}
        59:{1,3,5}:{(40,1),(41,1),(74,1),(79,1),(98,1)}
        60:{2,3,5}:{(40,1),(42,1),(75,1),(79,1),(98,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(51,1),(79,1),(80,1),(85,1),(100,1)}
        62:{3,5,7}:{(43,1),(44,1),(52,1),(81,1)}
        63:{1,5,6}:{(44,1),(53,1),(81,1)}
        64:{3,5,7}:{(45,1),(46,1),(54,1),(82,1)}
        65:{2,5,6}:{(46,1),(55,1),(82,1)}
        66:{3,6,7}:{(47,1),(48,1),(76,1),(104,1)}
        67:{1,3,6}:{(48,1),(49,1),(53,1),(85,1)}
        68:{2,3,6}:{(48,1),(50,1),(55,1),(85,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(85,1)}
        70:{1,2,3,7}:{(51,1),(80,1),(104,1)}
        71:{1,4,6,7}:{(52,1),(53,1),(81,1),(83,1),(95,1)}
        72:{2,4,6,7}:{(54,1),(55,1),(82,1),(84,1),(96,1)}
        73:{3,4,6}:{(56,1),(58,1),(86,1),(87,1),(88,1),(102,1)}
        74:{1,4,5}:{(56,1),(59,1),(87,1)}
        75:{2,4,5}:{(56,1),(60,1),(88,1)}
        76:{3,5,7}:{(57,1),(58,1),(66,1),(86,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(67,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(65,1),(68,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(70,1),(93,1),(102,1)}
        81:{1,5,7}:{(62,1),(63,1),(71,1)}
        82:{2,5,7}:{(64,1),(65,1),(72,1)}
        83:{1,3,6,7}:{(66,1),(67,1),(71,1),(90,1),(94,1)}
        84:{2,3,6,7}:{(66,1),(68,1),(72,1),(91,1),(94,1)}
        85:{1,2,6}:{(67,1),(68,1),(69,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        88:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(74,1),(75,1),(79,1),(97,1),(98,1),(100,1)}
        90:{1,3,5,7}:{(76,1),(77,1),(81,1),(83,1),(95,1),(99,1),(104,1)}
        91:{2,3,5,7}:{(76,1),(78,1),(82,1),(84,1),(96,1),(99,1),(104,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(85,1),(97,1),(99,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(98,1),(100,1)}
        94:{1,2,6,7}:{(83,1),(84,1),(85,1),(99,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,4,6}:{(87,1),(88,1),(89,1),(92,1),(101,1),(102,1)}
        98:{3,5}:{(89,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(90,1),(91,1),(92,1),(94,1),(101,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1867 :  0:{1,2,3,4,7}:{(1,1),(2,1),(27,1),(78,1)}
        1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(68,1),(69,1)}
        3:{2,3,4,5,7}:{(4,1),(7,1),(20,1),(21,1),(39,1)}
        4:{1,2,4,5,7}:{(1,1),(3,1),(8,1),(9,1),(12,1),(25,1),(27,1)}
        5:{1,2,3,6}:{(1,1),(9,1)}
        6:{1,2,3,5}:{(2,1),(12,1)}
        7:{2,3,4,6}:{(3,1),(9,1),(14,1),(28,1)}
        8:{1,3,4,5,7}:{(4,1),(15,1),(20,1),(34,1),(39,1)}
        9:{1,2,4,6}:{(4,1),(5,1),(7,1),(15,1),(17,1)}
       10:{1,2,3,6,7}:{(5,1),(16,1),(18,1),(63,1),(82,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(17,1),(18,1),(19,1),(38,1),(66,1),(68,1)}
       12:{1,2,4,5}:{(6,1),(19,1),(20,1)}
       13:{2,3,4,6,7}:{(7,1),(16,1),(21,1),(39,1),(43,1),(63,1)}
       14:{2,3,5,6}:{(7,1),(17,1),(21,1),(22,1),(38,1)}
       15:{1,3,4,6}:{(8,1),(9,1),(24,1),(28,1)}
       16:{1,2,4,6,7}:{(9,1),(10,1),(13,1),(23,1),(25,1),(27,1)}
       17:{1,2,5,6}:{(9,1),(14,1),(24,1),(25,1)}
       18:{1,2,3,5,7}:{(10,1),(11,1),(25,1),(27,1),(50,1),(77,1),(78,1)}
       19:{1,2,4,6}:{(11,1),(12,1),(27,1),(28,1)}
       20:{3,4,5}:{(12,1),(28,1)}
       21:{2,3,5,7}:{(13,1),(14,1),(25,1),(32,1),(50,1)}
       22:{2,4,5,6}:{(14,1),(32,1),(33,1)}
       23:{1,3,4,6,7}:{(15,1),(16,1),(34,1),(39,1),(60,1),(63,1)}
       24:{1,3,5,6}:{(15,1),(17,1),(34,1),(35,1),(38,1)}
       25:{1,2,5,7}:{(16,1),(17,1),(21,1),(34,1)}
       26:{1,2,4,5,6}:{(17,1),(19,1),(22,1),(35,1),(37,1),(38,1),(45,1),(62,1),(66,1)}
       27:{1,2,4,7}:{(18,1),(19,1),(39,1)}
       28:{3,4,6}:{(19,1),(20,1),(38,1),(39,1)}
       29:{1,3,4,5}:{(20,1),(40,1),(42,1)}
       30:{2,3,4,5}:{(20,1),(41,1),(42,1)}
       31:{2,3,5,6,7}:{(21,1),(36,1),(43,1),(63,1),(70,1)}
       32:{2,4,5,7}:{(21,1),(22,1),(43,1),(44,1)}
       33:{3,4,5,6}:{(22,1),(38,1),(44,1),(45,1)}
       34:{1,3,5,7}:{(23,1),(24,1),(25,1),(47,1),(50,1)}
       35:{1,4,5,6}:{(24,1),(47,1),(48,1)}
       36:{1,2,5,6,7}:{(25,1),(31,1),(46,1),(49,1),(79,1),(83,1)}
       37:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(32,1),(47,1),(49,1),(50,1),(59,1),(74,1),(77,1)}
       38:{3,5,6}:{(26,1),(28,1),(50,1)}
       39:{3,4,7}:{(27,1),(28,1),(50,1)}
       40:{1,3,4,6}:{(28,1),(29,1),(51,1),(53,1),(55,1)}
       41:{2,3,4,6}:{(28,1),(30,1),(52,1),(54,1),(55,1)}
       42:{1,2,4,5}:{(29,1),(30,1),(55,1),(56,1)}
       43:{2,4,6,7}:{(31,1),(32,1),(58,1)}
       44:{3,4,5,7}:{(32,1),(33,1),(50,1),(58,1),(59,1)}
       45:{1,4,5,6}:{(33,1),(51,1),(59,1)}
       46:{1,3,5,6,7}:{(34,1),(36,1),(60,1),(63,1),(80,1)}
       47:{1,4,5,7}:{(34,1),(35,1),(60,1),(61,1)}
       48:{3,4,5,6}:{(35,1),(38,1),(61,1),(62,1)}
       49:{1,2,4,6,7}:{(36,1),(37,1),(43,1),(60,1),(63,1),(71,1),(81,1),(82,1)}
       50:{3,5,7}:{(37,1),(38,1),(39,1),(63,1)}
       51:{1,3,5,6}:{(38,1),(40,1),(45,1),(64,1),(66,1)}
       52:{2,3,5,6}:{(38,1),(41,1),(62,1),(65,1),(66,1)}
       53:{1,3,4,7}:{(39,1),(40,1),(64,1),(67,1)}
       54:{2,3,4,7}:{(39,1),(41,1),(65,1),(67,1)}
       55:{1,2,4,6}:{(40,1),(41,1),(42,1),(66,1),(67,1),(68,1)}
       56:{1,2,3,5}:{(42,1),(68,1),(69,1)}
       57:{2,4,5,6,7}:{(43,1),(70,1)}
       58:{3,4,6,7}:{(43,1),(44,1),(63,1),(70,1),(71,1)}
       59:{1,4,5,7}:{(44,1),(45,1),(64,1),(71,1)}
       60:{1,4,6,7}:{(46,1),(47,1),(73,1)}
       61:{3,4,5,7}:{(47,1),(48,1),(50,1),(73,1),(74,1)}
       62:{2,4,5,6}:{(48,1),(52,1),(74,1)}
       63:{3,6,7}:{(49,1),(50,1)}
       64:{1,3,5,7}:{(50,1),(51,1),(53,1),(59,1),(75,1),(77,1)}
       65:{2,3,5,7}:{(50,1),(52,1),(54,1),(74,1),(76,1),(77,1)}
       66:{1,2,5,6}:{(51,1),(52,1),(55,1),(77,1)}
       67:{1,2,4,7}:{(53,1),(54,1),(55,1),(77,1),(78,1)}
       68:{1,2,3,6}:{(55,1),(56,1),(78,1)}
       69:{1,2,3,4}:{(56,1)}
       70:{3,5,6,7}:{(57,1),(58,1),(79,1)}
       71:{1,4,6,7}:{(58,1),(59,1),(75,1),(79,1)}
       72:{1,4,5,6,7}:{(60,1),(80,1)}
       73:{3,4,6,7}:{(60,1),(61,1),(63,1),(80,1),(81,1)}
       74:{2,4,5,7}:{(61,1),(62,1),(65,1),(81,1)}
       75:{1,3,6,7}:{(63,1),(64,1),(71,1),(82,1)}
       76:{2,3,6,7}:{(63,1),(65,1),(81,1),(82,1)}
       77:{1,2,5,7}:{(64,1),(65,1),(66,1),(67,1),(82,1)}
       78:{1,2,3,7}:{(67,1),(68,1)}
       79:{1,5,6,7}:{(70,1),(71,1)}
       80:{3,5,6,7}:{(72,1),(73,1),(83,1)}
       81:{2,4,6,7}:{(73,1),(74,1),(76,1),(83,1)}
       82:{1,2,6,7}:{(75,1),(76,1),(77,1)}
       83:{2,5,6,7}:{(80,1),(81,1)}

1868 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(7,1),(18,1),(21,1),(22,1),(46,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(7,1)}
         3:{2,3,4,5}:{(6,1),(8,1),(19,1)}
         4:{1,2,3,4,7}:{(1,1),(11,1),(14,1),(37,1),(63,1)}
         5:{1,2,3,5}:{(1,1),(10,1)}
         6:{1,2,4,5}:{(2,1),(3,1),(9,1),(13,1)}
         7:{1,2,3,6}:{(2,1),(13,1),(14,1)}
         8:{2,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(34,1)}
         9:{1,3,4,5}:{(6,1),(17,1),(19,1)}
        10:{1,2,4,5}:{(5,1),(19,1),(21,1)}
        11:{1,2,3,5,7}:{(4,1),(5,1),(20,1),(22,1)}
        12:{1,2,3,5,6}:{(5,1),(7,1),(21,1),(22,1),(23,1),(24,1),(46,1),(49,1),(53,1),(79,1)}
        13:{1,2,4,6}:{(6,1),(7,1),(8,1),(17,1),(24,1),(25,1)}
        14:{1,2,3,7}:{(7,1),(25,1)}
        15:{2,3,5,6}:{(8,1),(24,1),(26,1),(27,1),(49,1)}
        16:{2,3,4,7}:{(8,1),(25,1),(27,1),(51,1)}
        17:{1,3,4,6}:{(9,1),(13,1),(28,1),(29,1),(34,1)}
        18:{1,2,3,4}:{(30,1)}
        19:{3,4,5}:{(10,1),(34,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(33,1),(36,1),(37,1),(72,1)}
        21:{1,2,4,6}:{(10,1),(12,1),(34,1),(37,1)}
        22:{1,2,3,6}:{(11,1),(36,1)}
        23:{1,2,3,5,7}:{(12,1),(14,1),(37,1),(38,1),(39,1),(63,1),(68,1),(72,1),(92,1)}
        24:{1,2,5,6}:{(13,1),(15,1),(28,1),(39,1)}
        25:{1,2,4,7}:{(13,1),(14,1),(16,1),(29,1),(39,1)}
        26:{2,4,5,6}:{(15,1),(40,1),(41,1)}
        27:{2,3,5,7}:{(15,1),(16,1),(39,1),(41,1),(42,1),(68,1)}
        28:{1,3,5,6}:{(17,1),(24,1),(43,1),(44,1),(49,1)}
        29:{1,3,4,7}:{(17,1),(25,1),(44,1),(51,1)}
        30:{1,2,3,5}:{(18,1),(45,1),(46,1)}
        31:{1,3,4,5}:{(19,1),(45,1),(47,1)}
        32:{2,3,4,5}:{(19,1),(45,1),(48,1)}
        33:{3,4,5,7}:{(19,1),(20,1),(50,1),(51,1),(85,1)}
        34:{3,4,6}:{(19,1),(21,1),(49,1),(51,1)}
        35:{1,2,4,5,6}:{(21,1),(24,1),(26,1),(43,1),(49,1),(52,1),(53,1),(56,1),(76,1),(79,1),(84,1)}
        36:{1,2,4,6}:{(20,1),(22,1),(50,1),(53,1)}
        37:{1,2,4,7}:{(21,1),(23,1),(51,1)}
        38:{1,2,3,6,7}:{(22,1),(23,1),(54,1),(55,1),(83,1),(101,1)}
        39:{1,2,5,7}:{(24,1),(25,1),(27,1),(44,1),(55,1)}
        40:{3,4,5,6}:{(26,1),(49,1),(56,1),(57,1),(84,1)}
        41:{2,4,5,7}:{(26,1),(27,1),(57,1),(58,1)}
        42:{2,3,6,7}:{(27,1),(55,1),(58,1),(83,1)}
        43:{1,4,5,6}:{(28,1),(59,1),(60,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(39,1),(60,1),(61,1),(68,1)}
        45:{1,2,4,5}:{(30,1),(31,1),(32,1),(62,1)}
        46:{1,2,3,6}:{(30,1),(62,1),(63,1)}
        47:{1,3,4,6}:{(31,1),(34,1),(62,1),(64,1),(65,1)}
        48:{2,3,4,6}:{(32,1),(34,1),(62,1),(66,1),(67,1)}
        49:{3,5,6}:{(34,1),(35,1),(68,1)}
        50:{3,4,6}:{(33,1),(36,1),(69,1)}
        51:{3,4,7}:{(34,1),(37,1),(68,1)}
        52:{1,2,4,5,7}:{(35,1),(37,1),(39,1),(41,1),(60,1),(68,1),(71,1),(72,1),(73,1),(89,1),(92,1),(96,1)}
        53:{1,2,5,6}:{(36,1),(69,1),(72,1)}
        54:{1,2,4,6,7}:{(36,1),(37,1),(38,1),(70,1),(72,1)}
        55:{1,2,6,7}:{(39,1),(42,1),(61,1)}
        56:{1,4,5,6}:{(40,1),(64,1),(73,1)}
        57:{3,4,5,7}:{(40,1),(41,1),(68,1),(73,1),(74,1),(96,1)}
        58:{2,4,6,7}:{(41,1),(42,1),(74,1),(75,1)}
        59:{3,4,5,6}:{(43,1),(49,1),(76,1),(77,1),(84,1)}
        60:{1,4,5,7}:{(43,1),(44,1),(77,1),(78,1)}
        61:{1,3,6,7}:{(44,1),(55,1),(78,1),(83,1)}
        62:{1,2,4,6}:{(45,1),(46,1),(47,1),(48,1),(79,1),(80,1)}
        63:{1,2,3,7}:{(46,1),(80,1)}
        64:{1,3,5,6}:{(47,1),(49,1),(56,1),(79,1),(81,1)}
        65:{1,3,4,7}:{(47,1),(51,1),(80,1),(81,1)}
        66:{2,3,5,6}:{(48,1),(49,1),(76,1),(79,1),(82,1)}
        67:{2,3,4,7}:{(48,1),(51,1),(80,1),(82,1)}
        68:{3,5,7}:{(49,1),(51,1),(52,1),(83,1)}
        69:{3,5,6}:{(50,1),(53,1),(84,1),(85,1)}
        70:{3,4,6,7}:{(50,1),(51,1),(54,1),(83,1),(85,1),(102,1)}
        71:{1,2,4,6,7}:{(52,1),(55,1),(58,1),(78,1),(83,1),(86,1),(87,1),(99,1),(101,1),(102,1)}
        72:{1,2,5,7}:{(53,1),(54,1),(85,1)}
        73:{1,4,5,7}:{(56,1),(57,1),(81,1),(87,1)}
        74:{3,4,6,7}:{(57,1),(58,1),(83,1),(87,1),(88,1),(102,1)}
        75:{2,5,6,7}:{(58,1),(88,1)}
        76:{2,4,5,6}:{(59,1),(66,1),(89,1)}
        77:{3,4,5,7}:{(59,1),(60,1),(68,1),(89,1),(90,1),(96,1)}
        78:{1,4,6,7}:{(60,1),(61,1),(90,1),(91,1)}
        79:{1,2,5,6}:{(62,1),(64,1),(66,1),(92,1)}
        80:{1,2,4,7}:{(62,1),(63,1),(65,1),(67,1),(92,1)}
        81:{1,3,5,7}:{(64,1),(65,1),(68,1),(73,1),(92,1),(93,1)}
        82:{2,3,5,7}:{(66,1),(67,1),(68,1),(89,1),(92,1),(94,1)}
        83:{3,6,7}:{(68,1),(71,1)}
        84:{4,5,6}:{(69,1),(96,1)}
        85:{3,5,7}:{(69,1),(70,1),(72,1),(96,1)}
        86:{1,2,5,6,7}:{(71,1),(72,1),(75,1),(91,1),(95,1),(97,1),(103,1)}
        87:{1,4,6,7}:{(73,1),(74,1),(93,1),(97,1)}
        88:{3,5,6,7}:{(74,1),(75,1),(97,1),(98,1)}
        89:{2,4,5,7}:{(76,1),(77,1),(82,1),(99,1)}
        90:{3,4,6,7}:{(77,1),(78,1),(83,1),(99,1),(100,1),(102,1)}
        91:{1,5,6,7}:{(78,1),(100,1)}
        92:{1,2,5,7}:{(79,1),(80,1),(81,1),(82,1),(101,1)}
        93:{1,3,6,7}:{(81,1),(83,1),(87,1),(101,1)}
        94:{2,3,6,7}:{(82,1),(83,1),(99,1),(101,1)}
        95:{3,5,6,7}:{(83,1),(85,1),(86,1),(102,1)}
        96:{4,5,7}:{(84,1),(85,1),(102,1)}
        97:{1,5,6,7}:{(87,1),(88,1)}
        98:{4,5,6,7}:{(88,1),(102,1)}
        99:{2,4,6,7}:{(89,1),(90,1),(94,1),(103,1)}
       100:{3,5,6,7}:{(90,1),(91,1),(103,1),(104,1)}
       101:{1,2,6,7}:{(92,1),(93,1),(94,1)}
       102:{4,6,7}:{(95,1),(96,1)}
       103:{2,5,6,7}:{(99,1),(100,1)}
       104:{4,5,6,7}:{(100,1),(102,1)}

1869 :   0:{2,3,4,5,7}:{(2,1),(3,1),(14,1),(44,1),(84,1),(88,1),(96,1),(127,1),(132,1),(135,1)}
         1:{2,4,5,6,7}:{(4,1),(23,1),(173,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(8,1),(72,1),(153,1),(158,1),(160,1)}
         3:{1,2,4,5,7}:{(0,1),(8,1),(9,1),(27,1),(30,1),(62,1),(69,1),(73,1)}
         4:{3,5,6,7}:{(1,1),(10,1),(11,1),(190,1)}
         5:{2,3,4,6,7}:{(2,1),(14,1),(15,1),(23,1),(55,1),(84,1),(99,1)}
         6:{3,4,5,6}:{(13,1),(17,1),(18,1),(50,1),(140,1),(175,1)}
         7:{2,3,5,6}:{(2,1),(14,1),(18,1),(19,1),(50,1),(88,1),(150,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(19,1),(20,1),(51,1)}
         9:{1,3,5,7}:{(3,1),(20,1),(21,1),(52,1),(132,1)}
        10:{3,4,6,7}:{(4,1),(13,1),(22,1),(23,1),(55,1),(175,1)}
        11:{1,5,6,7}:{(4,1),(22,1),(202,1)}
        12:{2,3,5,6,7}:{(4,1),(14,1),(23,1),(24,1),(55,1),(128,1)}
        13:{3,4,5,7}:{(6,1),(10,1),(25,1),(26,1),(61,1)}
        14:{2,3,5,7}:{(5,1),(7,1),(26,1),(27,1),(61,1),(124,1)}
        15:{1,2,4,6,7}:{(5,1),(8,1),(27,1),(28,1),(62,1)}
        16:{1,2,3,5,7}:{(9,1),(29,1),(30,1),(66,1),(69,1)}
        17:{1,4,5,6}:{(6,1),(25,1),(31,1),(164,1),(192,1)}
        18:{2,4,5,6}:{(6,1),(7,1),(26,1),(112,1),(153,1)}
        19:{1,2,5,6}:{(7,1),(8,1),(27,1),(33,1),(69,1)}
        20:{1,3,6}:{(8,1),(9,1),(158,1)}
        21:{1,3,4,7}:{(9,1),(30,1),(34,1),(62,1),(104,1)}
        22:{1,4,6,7}:{(10,1),(11,1),(25,1),(36,1),(192,1)}
        23:{2,4,6,7}:{(10,1),(12,1),(26,1),(153,1)}
        24:{1,2,5,6,7}:{(11,1),(12,1),(27,1),(37,1),(38,1),(106,1),(124,1)}
        25:{1,4,5,7}:{(13,1),(17,1),(22,1),(40,1)}
        26:{2,4,5,7}:{(13,1),(14,1),(18,1),(23,1)}
        27:{1,2,5,7}:{(14,1),(15,1),(19,1),(42,1)}
        28:{1,3,6,7}:{(15,1),(20,1),(42,1),(55,1)}
        29:{1,2,3,6}:{(16,1),(20,1),(47,1),(89,1)}
        30:{1,2,4,7}:{(16,1),(21,1),(44,1),(47,1)}
        31:{1,3,5,6}:{(17,1),(40,1),(45,1),(49,1),(50,1),(145,1),(179,1)}
        32:{1,2,4,5,6}:{(17,1),(18,1),(19,1),(41,1),(49,1),(50,1),(51,1),(92,1),(95,1),(101,1),(133,1),(150,1)}
        33:{1,3,5,6}:{(19,1),(20,1),(42,1),(50,1),(51,1),(52,1)}
        34:{1,3,4,6}:{(20,1),(21,1),(47,1),(51,1),(52,1),(91,1)}
        35:{1,3,4,5,7}:{(21,1),(48,1),(52,1),(53,1),(85,1),(98,1),(132,1),(140,1),(174,1),(186,1)}
        36:{1,3,6,7}:{(22,1),(40,1),(54,1),(55,1),(179,1)}
        37:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(41,1),(54,1),(55,1),(56,1),(99,1),(133,1)}
        38:{1,3,5,6,7}:{(24,1),(42,1),(55,1),(56,1),(86,1),(100,1)}
        39:{1,2,3,6,7}:{(28,1),(29,1),(58,1),(59,1),(76,1),(114,1),(158,1),(194,1),(196,1)}
        40:{1,3,5,7}:{(25,1),(31,1),(36,1),(57,1),(60,1),(61,1)}
        41:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(32,1),(37,1),(60,1),(61,1),(62,1),(78,1),(107,1),(124,1)}
        42:{1,3,5,7}:{(27,1),(28,1),(33,1),(61,1),(62,1)}
        43:{1,3,4,6,7}:{(28,1),(34,1),(59,1),(62,1),(63,1),(77,1),(104,1),(109,1),(158,1)}
        44:{2,3,4,7}:{(30,1),(65,1),(66,1),(104,1),(166,1)}
        45:{1,3,4,6}:{(31,1),(57,1),(64,1),(67,1),(72,1)}
        46:{1,2,3,5,6}:{(29,1),(33,1),(58,1),(68,1),(69,1),(71,1),(106,1),(113,1),(115,1),(118,1),(158,1),(167,1),(169,1),(194,1)}
        47:{1,2,4,6}:{(29,1),(30,1),(34,1),(65,1),(69,1)}
        48:{1,2,4,5,7}:{(30,1),(35,1),(66,1),(69,1),(70,1),(112,1),(120,1),(166,1)}
        49:{1,2,5,6}:{(31,1),(60,1),(67,1),(71,1),(167,1),(194,1)}
        50:{3,5,6}:{(32,1),(61,1),(72,1),(118,1),(158,1)}
        51:{1,4,6}:{(33,1),(62,1),(72,1),(73,1)}
        52:{1,3,5}:{(34,1),(69,1),(73,1),(118,1)}
        53:{1,3,4,6}:{(35,1),(70,1),(74,1),(109,1),(158,1),(165,1),(192,1)}
        54:{1,2,6,7}:{(36,1),(60,1),(76,1),(194,1)}
        55:{3,6,7}:{(37,1),(61,1),(158,1)}
        56:{1,4,6,7}:{(38,1),(62,1),(77,1),(78,1),(109,1)}
        57:{1,3,4,7}:{(40,1),(45,1),(80,1),(84,1)}
        58:{1,2,3,5,7}:{(39,1),(42,1),(46,1),(81,1),(82,1),(83,1),(129,1),(132,1),(142,1),(177,1),(189,1)}
        59:{1,2,4,6,7}:{(39,1),(43,1),(47,1),(79,1),(81,1),(82,1),(99,1),(133,1),(204,1)}
        60:{1,2,5,7}:{(40,1),(49,1),(54,1),(80,1),(83,1)}
        61:{3,5,7}:{(41,1),(50,1),(55,1),(84,1)}
        62:{1,4,7}:{(42,1),(51,1),(84,1)}
        63:{1,3,5,7}:{(43,1),(52,1),(82,1),(85,1),(86,1),(100,1),(132,1)}
        64:{1,3,4,5}:{(45,1),(87,1),(96,1),(145,1),(182,1)}
        65:{2,3,4,6}:{(44,1),(47,1),(88,1),(89,1),(91,1),(141,1)}
        66:{2,3,5,7}:{(44,1),(48,1),(88,1),(89,1),(132,1)}
        67:{1,2,4,6}:{(45,1),(49,1),(80,1),(87,1),(90,1),(95,1)}
        68:{1,2,4,6}:{(46,1),(51,1),(81,1),(91,1),(92,1),(95,1),(141,1),(185,1)}
        69:{1,2,5}:{(47,1),(52,1),(88,1)}
        70:{1,2,4,6}:{(48,1),(53,1),(89,1),(93,1),(141,1)}
        71:{2,3,5,6}:{(49,1),(50,1),(83,1),(90,1),(95,1),(144,1),(150,1),(178,1)}
        72:{3,4,6}:{(50,1),(51,1),(84,1),(95,1),(96,1)}
        73:{1,4,5}:{(51,1),(52,1),(96,1)}
        74:{1,3,5,6}:{(52,1),(53,1),(93,1),(97,1),(98,1),(146,1),(202,1)}
        75:{1,3,4,6,7}:{(53,1),(94,1),(98,1),(137,1),(180,1),(186,1),(204,1)}
        76:{2,3,6,7}:{(54,1),(55,1),(83,1),(99,1),(178,1)}
        77:{3,4,6,7}:{(55,1),(56,1),(84,1),(99,1),(100,1),(136,1)}
        78:{1,4,5,7}:{(56,1),(100,1),(101,1)}
        79:{2,3,4,6,7}:{(59,1),(65,1),(102,1),(104,1),(114,1),(153,1),(158,1),(166,1),(193,1)}
        80:{1,2,4,7}:{(57,1),(60,1),(67,1),(103,1),(107,1)}
        81:{1,2,4,7}:{(58,1),(62,1),(68,1),(104,1),(107,1),(166,1),(200,1)}
        82:{1,2,5,7}:{(59,1),(63,1),(69,1),(102,1),(106,1),(124,1),(208,1)}
        83:{2,3,5,7}:{(60,1),(61,1),(71,1),(76,1),(103,1),(107,1),(124,1)}
        84:{3,4,7}:{(61,1),(62,1),(72,1),(107,1)}
        85:{1,4,5,7}:{(62,1),(63,1),(73,1),(108,1),(109,1)}
        86:{1,3,5,6}:{(63,1),(106,1),(109,1),(125,1),(158,1)}
        87:{1,2,4,5}:{(64,1),(67,1),(111,1),(121,1),(162,1),(167,1)}
        88:{2,3,5}:{(65,1),(69,1),(112,1),(118,1)}
        89:{2,3,6}:{(66,1),(70,1),(158,1)}
        90:{2,3,6}:{(67,1),(103,1),(111,1)}
        91:{3,4,6}:{(68,1),(104,1),(118,1),(158,1)}
        92:{1,2,4,5}:{(68,1),(69,1),(73,1),(112,1),(118,1),(121,1),(164,1),(167,1)}
        93:{1,2,5,6}:{(69,1),(70,1),(74,1),(113,1),(120,1)}
        94:{1,2,4,6,7}:{(70,1),(75,1),(114,1),(120,1),(166,1)}
        95:{2,4,6}:{(71,1),(72,1),(107,1),(121,1)}
        96:{3,4,5}:{(72,1),(73,1),(118,1),(121,1)}
        97:{1,4,5,6}:{(73,1),(74,1),(109,1),(122,1),(123,1)}
        98:{1,3,5,7}:{(74,1),(75,1),(120,1),(123,1),(170,1),(208,1)}
        99:{2,4,6,7}:{(76,1),(77,1),(107,1),(124,1),(160,1)}
       100:{3,5,7}:{(77,1),(78,1),(124,1),(125,1)}
       101:{1,4,5,6}:{(78,1),(109,1),(125,1)}
       102:{2,3,5,7}:{(79,1),(82,1),(88,1),(127,1),(128,1),(132,1),(203,1)}
       103:{2,3,7}:{(80,1),(90,1)}
       104:{3,4,7}:{(81,1),(91,1),(132,1)}
       105:{1,2,4,5,7}:{(81,1),(82,1),(85,1),(92,1),(127,1),(132,1),(133,1),(135,1),(174,1),(177,1)}
       106:{1,2,5,6}:{(82,1),(86,1),(128,1),(133,1),(150,1),(202,1)}
       107:{2,4,7}:{(83,1),(84,1),(95,1)}
       108:{3,4,5,7}:{(84,1),(85,1),(96,1),(100,1),(132,1),(135,1),(136,1)}
       109:{1,4,6}:{(85,1),(86,1),(136,1)}
       110:{1,3,5,6,7}:{(86,1),(98,1),(134,1),(137,1),(151,1),(180,1)}
       111:{2,3,5}:{(87,1),(90,1),(139,1)}
       112:{2,4,5}:{(88,1),(140,1),(141,1)}
       113:{2,3,5,6}:{(88,1),(89,1),(93,1),(141,1),(142,1),(146,1)}
       114:{2,3,6,7}:{(89,1),(94,1),(142,1),(180,1)}
       115:{1,2,3,6}:{(90,1),(129,1),(138,1),(143,1),(206,1)}
       116:{2,3,4,6}:{(90,1),(91,1),(95,1),(130,1),(139,1),(143,1),(144,1),(178,1)}
       117:{1,3,4,6}:{(91,1),(131,1),(143,1),(145,1),(179,1),(182,1),(185,1),(206,1)}
       118:{3,5}:{(91,1),(92,1)}
       119:{1,2,4,5,6}:{(92,1),(93,1),(97,1),(133,1),(141,1),(146,1),(147,1),(148,1),(173,1),(185,1),(187,1),(202,1)}
       120:{1,2,5,7}:{(93,1),(94,1),(98,1),(142,1)}
       121:{2,4,5}:{(95,1),(96,1),(144,1)}
       122:{3,4,5,6}:{(96,1),(97,1),(136,1),(146,1),(148,1),(149,1)}
       123:{1,4,5,7}:{(97,1),(98,1),(137,1),(149,1)}
       124:{2,5,7}:{(99,1),(100,1),(150,1)}
       125:{3,5,6}:{(100,1),(101,1),(136,1),(150,1)}
       126:{1,4,5,6,7}:{(101,1),(137,1),(151,1)}
       127:{2,4,5,7}:{(102,1),(112,1),(152,1),(153,1),(166,1)}
       128:{2,3,5,6}:{(102,1),(106,1),(153,1),(158,1),(190,1)}
       129:{1,2,3,7}:{(103,1),(115,1),(155,1),(209,1)}
       130:{2,3,4,7}:{(103,1),(104,1),(107,1),(116,1),(155,1),(156,1)}
       131:{1,3,4,7}:{(104,1),(117,1),(155,1),(157,1),(200,1),(209,1)}
       132:{3,5,7}:{(104,1),(105,1),(118,1),(158,1)}
       133:{1,2,4,6}:{(105,1),(106,1),(109,1),(153,1),(158,1),(160,1),(192,1),(194,1)}
       134:{1,2,5,6,7}:{(106,1),(110,1),(120,1),(154,1),(159,1),(172,1),(208,1)}
       135:{2,4,5,7}:{(107,1),(108,1),(121,1),(124,1),(156,1),(160,1)}
       136:{3,4,6}:{(108,1),(109,1),(125,1),(158,1),(160,1)}
       137:{1,4,6,7}:{(109,1),(110,1),(123,1),(161,1)}
       138:{1,2,3,5}:{(111,1),(115,1),(162,1),(167,1),(197,1)}
       139:{2,3,4}:{(111,1),(162,1)}
       140:{3,4,5}:{(112,1),(118,1),(164,1),(165,1)}
       141:{2,4,6}:{(112,1),(113,1),(165,1),(166,1)}
       142:{2,3,5,7}:{(113,1),(114,1),(120,1),(166,1),(170,1)}
       143:{1,2,4,6}:{(115,1),(116,1),(117,1),(155,1),(162,1),(167,1),(194,1)}
       144:{2,3,5}:{(116,1),(118,1),(121,1),(167,1)}
       145:{1,3,5}:{(117,1),(118,1),(164,1),(167,1)}
       146:{3,5,6}:{(118,1),(119,1),(158,1),(165,1),(170,1)}
       147:{1,2,4,5,7}:{(119,1),(120,1),(123,1),(159,1),(166,1),(170,1),(171,1),(191,1),(200,1),(201,1),(208,1)}
       148:{2,4,5,6}:{(121,1),(122,1),(160,1),(168,1),(171,1)}
       149:{3,4,5,7}:{(122,1),(123,1),(161,1),(170,1),(171,1)}
       150:{2,5,6}:{(124,1),(125,1),(160,1)}
       151:{3,5,6,7}:{(125,1),(126,1),(161,1),(172,1)}
       152:{3,4,5,7}:{(127,1),(132,1),(140,1),(174,1),(175,1),(186,1),(203,1)}
       153:{2,4,6}:{(127,1),(128,1),(175,1)}
       154:{2,3,5,6,7}:{(128,1),(134,1),(142,1),(176,1),(180,1),(203,1)}
       155:{1,2,4,7}:{(129,1),(130,1),(131,1),(143,1),(177,1)}
       156:{2,3,5,7}:{(130,1),(132,1),(135,1),(144,1),(177,1),(178,1)}
       157:{1,3,5,7}:{(131,1),(132,1),(145,1),(174,1),(177,1),(179,1)}
       158:{3,6}:{(132,1),(133,1)}
       159:{1,2,4,6,7}:{(133,1),(134,1),(137,1),(147,1),(176,1),(180,1),(181,1),(204,1),(205,1)}
       160:{2,4,6}:{(135,1),(136,1),(150,1),(178,1)}
       161:{3,4,6,7}:{(136,1),(137,1),(149,1),(151,1),(180,1),(181,1)}
       162:{1,2,4}:{(138,1),(139,1),(182,1)}
       163:{2,3,4,5}:{(139,1),(140,1),(144,1),(183,1),(184,1)}
       164:{1,4,5}:{(140,1),(145,1),(185,1)}
       165:{3,4,6}:{(140,1),(141,1),(146,1),(185,1),(186,1)}
       166:{2,4,7}:{(141,1),(142,1),(186,1)}
       167:{1,2,5}:{(143,1),(144,1),(145,1)}
       168:{2,3,5,6}:{(144,1),(146,1),(148,1),(178,1),(184,1),(187,1),(188,1)}
       169:{1,3,5,6}:{(145,1),(146,1),(179,1),(185,1),(187,1),(189,1),(202,1),(206,1)}
       170:{3,5,7}:{(146,1),(147,1),(180,1),(186,1)}
       171:{2,4,5,7}:{(148,1),(149,1),(181,1),(188,1)}
       172:{2,5,6,7}:{(150,1),(151,1),(181,1)}
       173:{2,4,5,6}:{(153,1),(190,1),(191,1)}
       174:{1,4,5,7}:{(152,1),(157,1),(164,1),(192,1),(200,1),(208,1)}
       175:{3,4,6}:{(152,1),(153,1),(158,1),(190,1),(192,1)}
       176:{2,4,6,7}:{(153,1),(154,1),(166,1),(191,1),(193,1)}
       177:{1,2,5,7}:{(155,1),(156,1),(157,1),(167,1),(194,1)}
       178:{2,3,6}:{(156,1),(158,1),(160,1),(194,1)}
       179:{1,3,6}:{(157,1),(158,1),(192,1),(194,1)}
       180:{3,6,7}:{(158,1),(159,1),(170,1)}
       181:{2,4,6,7}:{(160,1),(161,1),(171,1),(172,1),(195,1)}
       182:{1,3,4}:{(162,1),(197,1)}
       183:{1,2,4,5}:{(162,1),(163,1),(164,1),(167,1),(197,1),(198,1)}
       184:{2,3,4,6}:{(163,1),(165,1),(168,1),(198,1),(199,1)}
       185:{1,4,6}:{(164,1),(165,1),(169,1),(200,1)}
       186:{3,4,7}:{(165,1),(166,1),(170,1),(200,1)}
       187:{1,2,5,6}:{(167,1),(168,1),(169,1),(194,1),(198,1),(201,1)}
       188:{2,3,5,7}:{(168,1),(170,1),(171,1),(195,1),(199,1),(201,1)}
       189:{1,3,5,7}:{(169,1),(170,1),(196,1),(200,1),(201,1),(208,1),(209,1)}
       190:{3,5,6}:{(173,1),(175,1),(202,1),(203,1)}
       191:{2,4,5,7}:{(173,1),(176,1),(203,1)}
       192:{1,4,6}:{(174,1),(175,1),(179,1),(202,1)}
       193:{3,4,6,7}:{(175,1),(176,1),(180,1),(186,1),(203,1),(204,1)}
       194:{1,2,6}:{(177,1),(178,1),(179,1)}
       195:{2,3,6,7}:{(178,1),(180,1),(181,1),(188,1),(205,1)}
       196:{1,3,6,7}:{(179,1),(180,1),(189,1),(204,1),(205,1)}
       197:{1,3,5}:{(182,1),(183,1),(206,1)}
       198:{1,2,4,6}:{(183,1),(184,1),(185,1),(187,1),(206,1),(207,1)}
       199:{2,3,4,7}:{(184,1),(186,1),(188,1),(207,1)}
       200:{1,4,7}:{(185,1),(186,1),(189,1)}
       201:{1,2,5,7}:{(187,1),(188,1),(189,1),(205,1),(207,1)}
       202:{1,5,6}:{(190,1),(192,1),(208,1)}
       203:{3,5,7}:{(190,1),(191,1),(193,1),(208,1)}
       204:{1,4,6,7}:{(192,1),(193,1),(196,1),(200,1),(208,1)}
       205:{1,2,6,7}:{(194,1),(195,1),(196,1),(201,1)}
       206:{1,3,6}:{(197,1),(198,1),(209,1)}
       207:{1,2,4,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       208:{1,5,7}:{(202,1),(203,1),(204,1)}
       209:{1,3,7}:{(206,1),(207,1)}

1870 :   0:{2,3,4,5,7}:{(1,1),(2,1),(14,1),(41,1),(90,1),(100,1),(103,1),(144,1),(153,1),(160,1)}
         1:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(26,1),(29,1),(69,1),(72,1),(75,1)}
         2:{2,3,4,6}:{(0,1),(6,1),(7,1),(76,1),(169,1),(177,1),(183,1)}
         3:{1,3,4,5,7}:{(10,1),(11,1),(15,1),(40,1),(52,1),(99,1),(145,1),(148,1),(153,1),(191,1)}
         4:{2,3,4,6,7}:{(2,1),(13,1),(14,1),(20,1),(57,1),(100,1),(110,1)}
         5:{1,3,5,7}:{(1,1),(15,1),(16,1),(52,1),(153,1)}
         6:{1,2,4,6}:{(1,1),(2,1),(16,1),(17,1),(53,1)}
         7:{2,3,5,6}:{(2,1),(14,1),(17,1),(18,1),(54,1),(90,1),(164,1)}
         8:{2,3,5,6,7}:{(14,1),(19,1),(20,1),(21,1),(57,1),(143,1)}
         9:{2,4,5,6,7}:{(20,1),(21,1),(186,1)}
        10:{1,2,4,5,7}:{(3,1),(23,1),(24,1),(26,1),(61,1),(69,1),(116,1),(119,1)}
        11:{1,3,4,6}:{(3,1),(24,1),(25,1),(120,1),(129,1),(177,1),(203,1)}
        12:{1,2,3,5,7}:{(5,1),(23,1),(26,1),(27,1),(69,1)}
        13:{1,2,4,6,7}:{(4,1),(6,1),(28,1),(29,1),(72,1)}
        14:{2,3,5,7}:{(4,1),(7,1),(29,1),(30,1),(73,1),(139,1)}
        15:{1,3,4,7}:{(5,1),(26,1),(31,1),(72,1),(125,1)}
        16:{1,3,6}:{(5,1),(6,1),(177,1)}
        17:{1,2,5,6}:{(6,1),(7,1),(29,1),(32,1),(69,1)}
        18:{2,4,5,6}:{(7,1),(30,1),(34,1),(119,1),(169,1)}
        19:{1,2,5,6,7}:{(8,1),(29,1),(35,1),(36,1),(38,1),(123,1),(139,1)}
        20:{2,4,6,7}:{(8,1),(30,1),(37,1),(169,1)}
        21:{3,5,6,7}:{(9,1),(37,1),(38,1),(201,1)}
        22:{1,3,4,6,7}:{(11,1),(39,1),(40,1),(85,1),(141,1),(145,1),(188,1)}
        23:{2,3,5,7}:{(10,1),(41,1),(42,1),(90,1),(153,1)}
        24:{1,2,4,6}:{(10,1),(11,1),(42,1),(43,1),(91,1)}
        25:{1,3,5,6}:{(11,1),(40,1),(43,1),(44,1),(52,1),(92,1),(208,1)}
        26:{1,2,4,7}:{(12,1),(15,1),(41,1),(46,1)}
        27:{1,2,3,6}:{(12,1),(16,1),(42,1),(46,1)}
        28:{1,3,6,7}:{(13,1),(16,1),(49,1),(57,1)}
        29:{1,2,5,7}:{(13,1),(14,1),(17,1),(49,1)}
        30:{2,4,5,7}:{(14,1),(18,1),(20,1),(51,1)}
        31:{1,3,4,6}:{(15,1),(16,1),(46,1),(52,1),(53,1),(97,1)}
        32:{1,3,5,6}:{(16,1),(17,1),(49,1),(52,1),(53,1),(54,1)}
        33:{1,2,4,5,6}:{(17,1),(18,1),(50,1),(53,1),(54,1),(55,1),(96,1),(105,1),(106,1),(108,1),(152,1),(164,1)}
        34:{3,4,5,6}:{(18,1),(51,1),(54,1),(55,1),(148,1),(190,1)}
        35:{1,3,5,6,7}:{(19,1),(49,1),(56,1),(57,1),(98,1),(109,1)}
        36:{1,2,4,6,7}:{(19,1),(20,1),(50,1),(56,1),(57,1),(58,1),(110,1),(111,1),(152,1)}
        37:{3,4,6,7}:{(20,1),(21,1),(51,1),(57,1),(58,1),(190,1)}
        38:{1,5,6,7}:{(21,1),(58,1),(208,1)}
        39:{1,2,4,6,7}:{(22,1),(24,1),(60,1),(61,1),(116,1)}
        40:{1,3,5,7}:{(22,1),(25,1),(61,1),(62,1),(117,1),(202,1)}
        41:{2,3,4,7}:{(23,1),(26,1),(63,1),(116,1),(125,1)}
        42:{2,3,6}:{(23,1),(24,1),(177,1)}
        43:{1,2,5,6}:{(24,1),(25,1),(61,1),(64,1),(69,1)}
        44:{1,4,5,6}:{(25,1),(62,1),(66,1),(75,1),(129,1)}
        45:{1,2,3,6,7}:{(27,1),(28,1),(60,1),(67,1),(68,1),(83,1),(167,1),(177,1),(206,1)}
        46:{1,2,4,6}:{(26,1),(27,1),(31,1),(63,1),(69,1)}
        47:{1,2,3,5,6}:{(27,1),(32,1),(64,1),(68,1),(69,1),(70,1),(78,1),(121,1),(123,1),(126,1),(177,1),(181,1),(182,1),(206,1)}
        48:{1,3,4,6,7}:{(28,1),(31,1),(67,1),(71,1),(72,1),(81,1),(125,1),(129,1),(177,1)}
        49:{1,3,5,7}:{(28,1),(29,1),(32,1),(72,1),(73,1)}
        50:{1,2,4,5,7}:{(29,1),(30,1),(33,1),(36,1),(72,1),(73,1),(74,1),(80,1),(132,1),(133,1),(139,1)}
        51:{3,4,5,7}:{(30,1),(34,1),(37,1),(73,1),(74,1)}
        52:{1,3,5}:{(31,1),(69,1),(75,1),(126,1)}
        53:{1,4,6}:{(32,1),(72,1),(75,1),(76,1)}
        54:{3,5,6}:{(33,1),(73,1),(76,1),(126,1),(177,1)}
        55:{1,4,5,6}:{(34,1),(74,1),(77,1),(174,1),(203,1)}
        56:{1,4,6,7}:{(35,1),(72,1),(80,1),(81,1),(129,1)}
        57:{3,6,7}:{(36,1),(73,1),(177,1)}
        58:{1,4,6,7}:{(37,1),(38,1),(74,1),(82,1),(203,1)}
        59:{1,3,5,6,7}:{(40,1),(84,1),(85,1),(98,1),(107,1),(141,1)}
        60:{2,3,6,7}:{(39,1),(42,1),(87,1),(141,1)}
        61:{1,2,5,7}:{(39,1),(40,1),(43,1),(87,1)}
        62:{1,4,5,7}:{(40,1),(44,1),(85,1),(89,1)}
        63:{2,3,4,6}:{(41,1),(42,1),(46,1),(90,1),(91,1),(97,1)}
        64:{2,3,5,6}:{(42,1),(43,1),(87,1),(90,1),(91,1),(92,1)}
        65:{1,2,4,5,6}:{(43,1),(44,1),(88,1),(91,1),(92,1),(93,1),(96,1),(149,1),(151,1),(152,1),(186,1),(208,1)}
        66:{3,4,5,6}:{(44,1),(89,1),(92,1),(93,1),(103,1),(159,1)}
        67:{1,2,4,6,7}:{(45,1),(46,1),(48,1),(86,1),(94,1),(95,1),(110,1),(152,1),(188,1)}
        68:{1,2,3,5,7}:{(45,1),(47,1),(49,1),(87,1),(94,1),(95,1),(102,1),(146,1),(153,1),(197,1),(198,1)}
        69:{1,2,5}:{(46,1),(52,1),(90,1)}
        70:{1,2,4,6}:{(47,1),(53,1),(91,1),(95,1),(96,1),(97,1),(105,1),(149,1)}
        71:{1,3,5,7}:{(48,1),(52,1),(94,1),(98,1),(99,1),(109,1),(153,1)}
        72:{1,4,7}:{(49,1),(53,1),(100,1)}
        73:{3,5,7}:{(50,1),(54,1),(57,1),(100,1)}
        74:{1,4,5,7}:{(51,1),(55,1),(58,1),(101,1)}
        75:{1,4,5}:{(52,1),(53,1),(103,1)}
        76:{3,4,6}:{(53,1),(54,1),(100,1),(103,1),(105,1)}
        77:{1,3,5,6}:{(54,1),(55,1),(101,1),(104,1),(106,1),(156,1),(195,1)}
        78:{2,3,5,6}:{(54,1),(102,1),(105,1),(106,1),(157,1),(163,1),(164,1),(196,1)}
        79:{1,4,5,6,7}:{(85,1),(107,1),(108,1)}
        80:{1,4,5,7}:{(56,1),(108,1),(109,1)}
        81:{3,4,6,7}:{(56,1),(57,1),(100,1),(109,1),(110,1),(159,1)}
        82:{1,3,6,7}:{(57,1),(58,1),(101,1),(111,1),(195,1)}
        83:{2,3,6,7}:{(57,1),(102,1),(110,1),(111,1),(196,1)}
        84:{1,2,5,6,7}:{(59,1),(61,1),(112,1),(113,1),(123,1),(137,1),(202,1)}
        85:{1,4,6,7}:{(59,1),(62,1),(114,1),(129,1)}
        86:{2,3,4,6,7}:{(60,1),(63,1),(67,1),(115,1),(116,1),(125,1),(166,1),(169,1),(177,1)}
        87:{2,3,5,7}:{(60,1),(61,1),(64,1),(116,1),(117,1)}
        88:{1,2,4,5,7}:{(61,1),(62,1),(65,1),(113,1),(116,1),(117,1),(118,1),(165,1),(171,1),(173,1),(202,1)}
        89:{3,4,5,7}:{(62,1),(66,1),(114,1),(117,1),(118,1)}
        90:{2,3,5}:{(63,1),(69,1),(119,1),(126,1)}
        91:{2,4,6}:{(64,1),(116,1),(119,1),(120,1)}
        92:{3,5,6}:{(65,1),(117,1),(120,1),(126,1),(177,1)}
        93:{2,4,5,6}:{(66,1),(118,1),(122,1),(135,1),(183,1)}
        94:{1,2,5,7}:{(67,1),(69,1),(71,1),(115,1),(123,1),(139,1),(202,1)}
        95:{1,2,4,7}:{(68,1),(70,1),(72,1),(116,1),(125,1),(132,1),(171,1)}
        96:{1,2,4,5}:{(69,1),(70,1),(75,1),(119,1),(126,1),(135,1),(174,1),(181,1)}
        97:{3,4,6}:{(70,1),(125,1),(126,1),(177,1)}
        98:{1,3,5,6}:{(71,1),(123,1),(129,1),(138,1),(177,1)}
        99:{1,4,5,7}:{(71,1),(72,1),(75,1),(129,1),(130,1)}
       100:{3,4,7}:{(72,1),(73,1),(76,1),(132,1)}
       101:{1,3,5,7}:{(73,1),(74,1),(77,1),(82,1),(131,1),(133,1)}
       102:{2,3,5,7}:{(73,1),(78,1),(83,1),(132,1),(133,1),(139,1),(184,1)}
       103:{3,4,5}:{(75,1),(76,1),(126,1),(135,1)}
       104:{1,3,4,6}:{(76,1),(77,1),(131,1),(134,1),(136,1)}
       105:{2,4,6}:{(76,1),(78,1),(132,1),(135,1)}
       106:{1,2,5,6}:{(77,1),(78,1),(133,1),(136,1),(181,1),(206,1)}
       107:{3,5,6,7}:{(79,1),(114,1),(137,1),(138,1)}
       108:{1,4,5,6}:{(80,1),(129,1),(138,1)}
       109:{3,5,7}:{(80,1),(81,1),(138,1),(139,1)}
       110:{2,4,6,7}:{(81,1),(83,1),(132,1),(139,1),(183,1)}
       111:{1,2,6,7}:{(82,1),(83,1),(133,1),(206,1)}
       112:{2,3,5,6,7}:{(84,1),(87,1),(140,1),(141,1),(143,1),(187,1)}
       113:{1,2,4,6,7}:{(84,1),(85,1),(88,1),(140,1),(141,1),(142,1),(152,1),(188,1),(189,1)}
       114:{3,4,6,7}:{(85,1),(89,1),(107,1),(141,1),(142,1),(159,1)}
       115:{2,3,5,7}:{(86,1),(90,1),(94,1),(143,1),(144,1),(153,1),(187,1)}
       116:{2,4,7}:{(87,1),(91,1),(145,1)}
       117:{3,5,7}:{(88,1),(92,1),(141,1),(145,1)}
       118:{2,4,5,7}:{(89,1),(93,1),(142,1),(147,1)}
       119:{2,4,5}:{(90,1),(91,1),(148,1)}
       120:{3,4,6}:{(91,1),(92,1),(145,1),(148,1),(149,1)}
       121:{1,3,5,6}:{(92,1),(146,1),(149,1),(151,1),(156,1),(194,1),(195,1),(208,1)}
       122:{2,3,5,6}:{(92,1),(93,1),(147,1),(150,1),(151,1),(157,1),(196,1)}
       123:{1,2,5,6}:{(94,1),(98,1),(143,1),(152,1),(164,1),(208,1)}
       124:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(99,1),(144,1),(152,1),(153,1),(160,1),(191,1),(197,1)}
       125:{3,4,7}:{(95,1),(97,1),(153,1)}
       126:{3,5}:{(96,1),(97,1)}
       127:{1,3,4,6}:{(97,1),(149,1),(154,1),(156,1),(158,1),(194,1),(195,1),(209,1)}
       128:{2,3,4,6}:{(97,1),(105,1),(155,1),(157,1),(158,1),(163,1),(196,1),(200,1)}
       129:{1,4,6}:{(98,1),(99,1),(159,1)}
       130:{3,4,5,7}:{(99,1),(100,1),(103,1),(109,1),(153,1),(159,1),(160,1)}
       131:{1,3,4,7}:{(100,1),(101,1),(104,1),(161,1)}
       132:{2,4,7}:{(100,1),(102,1),(105,1)}
       133:{1,2,5,7}:{(101,1),(102,1),(106,1),(111,1),(161,1)}
       134:{1,3,4,5}:{(103,1),(104,1),(156,1),(162,1),(209,1)}
       135:{2,4,5}:{(103,1),(105,1),(157,1)}
       136:{1,2,4,6}:{(104,1),(105,1),(106,1),(161,1),(162,1),(163,1)}
       137:{2,5,6,7}:{(107,1),(142,1),(164,1)}
       138:{3,5,6}:{(108,1),(109,1),(159,1),(164,1)}
       139:{2,5,7}:{(109,1),(110,1),(164,1)}
       140:{2,4,6,7}:{(112,1),(116,1),(165,1),(166,1),(169,1)}
       141:{3,6,7}:{(113,1),(117,1),(177,1)}
       142:{2,4,6,7}:{(114,1),(118,1),(137,1),(168,1),(183,1)}
       143:{2,3,5,6}:{(115,1),(123,1),(169,1),(177,1),(201,1)}
       144:{2,4,5,7}:{(115,1),(116,1),(119,1),(169,1),(170,1)}
       145:{3,4,7}:{(116,1),(117,1),(120,1),(171,1)}
       146:{1,3,5,7}:{(117,1),(121,1),(167,1),(171,1),(173,1),(202,1),(204,1)}
       147:{2,3,5,7}:{(117,1),(118,1),(122,1),(168,1),(172,1),(173,1)}
       148:{3,4,5}:{(119,1),(120,1),(126,1),(174,1)}
       149:{1,4,6}:{(120,1),(121,1),(171,1),(174,1)}
       150:{2,3,4,6}:{(120,1),(122,1),(172,1),(175,1),(176,1)}
       151:{1,2,5,6}:{(121,1),(122,1),(173,1),(176,1),(181,1),(206,1)}
       152:{1,2,4,6}:{(123,1),(124,1),(129,1),(169,1),(177,1),(183,1),(203,1),(206,1)}
       153:{3,5,7}:{(124,1),(125,1),(126,1),(177,1)}
       154:{1,3,4,7}:{(125,1),(127,1),(171,1),(178,1),(180,1),(204,1)}
       155:{2,3,4,7}:{(125,1),(128,1),(132,1),(179,1),(180,1),(184,1)}
       156:{1,3,5}:{(126,1),(127,1),(174,1),(181,1)}
       157:{2,3,5}:{(126,1),(128,1),(135,1),(181,1)}
       158:{1,2,4,6}:{(127,1),(128,1),(180,1),(181,1),(182,1),(206,1),(207,1)}
       159:{3,4,6}:{(129,1),(130,1),(138,1),(177,1),(183,1)}
       160:{2,4,5,7}:{(130,1),(132,1),(135,1),(139,1),(179,1),(183,1)}
       161:{1,2,4,7}:{(131,1),(132,1),(133,1),(136,1),(184,1)}
       162:{1,2,4,5}:{(134,1),(135,1),(136,1),(181,1),(185,1),(207,1)}
       163:{2,3,6}:{(136,1),(184,1),(185,1)}
       164:{2,5,6}:{(138,1),(139,1),(183,1)}
       165:{2,4,5,7}:{(140,1),(186,1),(187,1)}
       166:{3,4,6,7}:{(140,1),(141,1),(145,1),(187,1),(188,1),(190,1)}
       167:{1,3,6,7}:{(141,1),(146,1),(188,1),(189,1),(195,1)}
       168:{2,3,6,7}:{(141,1),(142,1),(147,1),(189,1),(196,1)}
       169:{2,4,6}:{(143,1),(144,1),(190,1)}
       170:{3,4,5,7}:{(144,1),(145,1),(148,1),(153,1),(187,1),(190,1),(191,1)}
       171:{1,4,7}:{(145,1),(146,1),(149,1)}
       172:{2,3,4,7}:{(145,1),(147,1),(150,1),(192,1)}
       173:{1,2,5,7}:{(146,1),(147,1),(151,1),(189,1),(192,1)}
       174:{1,4,5}:{(148,1),(149,1),(156,1)}
       175:{2,3,4,5}:{(148,1),(150,1),(157,1),(193,1),(200,1)}
       176:{1,2,4,6}:{(149,1),(150,1),(151,1),(192,1),(193,1),(194,1)}
       177:{3,6}:{(152,1),(153,1)}
       178:{1,3,5,7}:{(153,1),(154,1),(156,1),(191,1),(195,1),(197,1)}
       179:{2,3,5,7}:{(153,1),(155,1),(157,1),(160,1),(196,1),(197,1)}
       180:{1,2,4,7}:{(154,1),(155,1),(158,1),(197,1),(198,1)}
       181:{1,2,5}:{(156,1),(157,1),(158,1)}
       182:{1,2,3,6}:{(158,1),(163,1),(194,1),(198,1),(199,1)}
       183:{2,4,6}:{(159,1),(160,1),(164,1),(196,1)}
       184:{2,3,7}:{(161,1),(163,1)}
       185:{2,3,5}:{(162,1),(163,1),(200,1)}
       186:{2,4,5,6}:{(165,1),(169,1),(201,1)}
       187:{3,5,7}:{(165,1),(166,1),(201,1),(202,1)}
       188:{1,4,6,7}:{(166,1),(167,1),(171,1),(202,1),(203,1)}
       189:{1,2,6,7}:{(167,1),(168,1),(173,1),(206,1)}
       190:{3,4,6}:{(169,1),(170,1),(177,1),(201,1),(203,1)}
       191:{1,4,5,7}:{(170,1),(171,1),(174,1),(178,1),(202,1),(203,1)}
       192:{1,2,4,7}:{(171,1),(172,1),(173,1),(176,1),(204,1)}
       193:{1,2,4,5}:{(174,1),(175,1),(176,1),(181,1),(205,1),(207,1)}
       194:{1,3,6}:{(176,1),(204,1),(205,1)}
       195:{1,3,6}:{(177,1),(178,1),(203,1),(206,1)}
       196:{2,3,6}:{(177,1),(179,1),(183,1),(206,1)}
       197:{1,2,5,7}:{(178,1),(179,1),(180,1),(181,1),(206,1)}
       198:{1,2,3,7}:{(180,1),(182,1),(184,1),(204,1)}
       199:{1,2,3,5}:{(181,1),(182,1),(185,1),(205,1),(207,1)}
       200:{2,3,4}:{(185,1),(207,1)}
       201:{3,5,6}:{(186,1),(187,1),(190,1),(208,1)}
       202:{1,5,7}:{(187,1),(188,1),(208,1)}
       203:{1,4,6}:{(190,1),(191,1),(195,1),(208,1)}
       204:{1,3,7}:{(192,1),(194,1)}
       205:{1,3,5}:{(193,1),(194,1),(209,1)}
       206:{1,2,6}:{(195,1),(196,1),(197,1)}
       207:{1,2,4}:{(199,1),(200,1),(209,1)}
       208:{1,5,6}:{(201,1),(202,1),(203,1)}
       209:{1,3,4}:{(205,1),(207,1)}

1871 :   0:{2,4,5,6,7}:{(1,1),(11,1),(198,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(4,1),(203,1)}
         2:{3,4,5,6}:{(7,1),(8,1),(9,1),(34,1),(167,1),(195,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(10,1),(11,1),(37,1),(195,1)}
         4:{1,5,6,7}:{(1,1),(10,1),(206,1)}
         5:{2,3,5,6,7}:{(1,1),(11,1),(12,1),(30,1),(37,1),(171,1)}
         6:{2,3,4,5,7}:{(13,1),(14,1),(30,1),(65,1),(69,1),(77,1),(112,1),(125,1),(163,1),(170,1)}
         7:{3,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(47,1)}
         8:{1,4,5,6}:{(2,1),(16,1),(18,1),(178,1),(200,1)}
         9:{2,4,5,6}:{(2,1),(17,1),(19,1),(151,1),(187,1)}
        10:{1,4,6,7}:{(3,1),(4,1),(16,1),(21,1),(200,1)}
        11:{2,4,6,7}:{(3,1),(5,1),(17,1),(187,1)}
        12:{1,2,5,6,7}:{(4,1),(5,1),(23,1),(24,1),(46,1),(94,1),(148,1)}
        13:{2,3,4,6}:{(6,1),(19,1),(25,1),(50,1),(140,1),(183,1),(187,1)}
        14:{1,2,4,5,7}:{(6,1),(25,1),(26,1),(46,1),(57,1),(87,1),(91,1),(99,1)}
        15:{1,3,4,5}:{(27,1),(28,1),(69,1),(108,1),(158,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(10,1),(29,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(11,1),(30,1)}
        18:{1,3,5,6}:{(8,1),(27,1),(29,1),(32,1),(34,1),(158,1),(191,1)}
        19:{2,3,5,6}:{(9,1),(13,1),(30,1),(33,1),(34,1),(122,1),(125,1)}
        20:{1,2,4,5,6}:{(8,1),(9,1),(31,1),(32,1),(33,1),(34,1),(67,1),(68,1),(74,1),(116,1),(122,1),(164,1)}
        21:{1,3,6,7}:{(10,1),(29,1),(35,1),(37,1),(191,1)}
        22:{2,3,4,6,7}:{(11,1),(13,1),(30,1),(36,1),(37,1),(65,1),(71,1)}
        23:{1,2,4,6,7}:{(10,1),(11,1),(12,1),(31,1),(35,1),(37,1),(38,1),(71,1),(164,1)}
        24:{1,3,5,6,7}:{(12,1),(37,1),(38,1),(64,1),(73,1),(123,1)}
        25:{1,2,4,6}:{(13,1),(14,1),(33,1),(39,1),(68,1)}
        26:{1,3,5,7}:{(14,1),(39,1),(41,1),(76,1),(163,1)}
        27:{1,3,4,6}:{(15,1),(18,1),(42,1),(43,1),(50,1)}
        28:{1,2,4,5}:{(15,1),(43,1),(44,1),(83,1),(90,1),(133,1)}
        29:{1,3,5,7}:{(16,1),(18,1),(21,1),(42,1),(45,1),(47,1)}
        30:{2,3,5,7}:{(17,1),(19,1),(22,1),(46,1),(47,1),(94,1)}
        31:{1,2,4,5,7}:{(16,1),(17,1),(20,1),(23,1),(45,1),(46,1),(47,1),(54,1),(86,1),(87,1),(94,1)}
        32:{1,2,5,6}:{(18,1),(43,1),(45,1),(48,1),(133,1),(176,1)}
        33:{1,2,5,6}:{(19,1),(25,1),(46,1),(49,1),(99,1)}
        34:{3,5,6}:{(20,1),(47,1),(50,1),(143,1),(183,1)}
        35:{1,2,6,7}:{(21,1),(45,1),(51,1),(176,1)}
        36:{1,2,4,6,7}:{(22,1),(25,1),(46,1),(52,1),(87,1)}
        37:{3,6,7}:{(23,1),(47,1),(183,1)}
        38:{1,4,6,7}:{(24,1),(53,1),(54,1),(87,1),(141,1)}
        39:{1,3,6}:{(25,1),(26,1),(183,1)}
        40:{1,2,3,5,7}:{(26,1),(55,1),(57,1),(99,1),(101,1)}
        41:{1,3,4,7}:{(26,1),(56,1),(57,1),(87,1),(138,1)}
        42:{1,3,4,7}:{(27,1),(29,1),(59,1),(65,1)}
        43:{1,2,4,6}:{(27,1),(28,1),(32,1),(59,1),(60,1),(67,1)}
        44:{2,3,5}:{(28,1),(60,1),(62,1)}
        45:{1,2,5,7}:{(29,1),(32,1),(35,1),(59,1),(63,1)}
        46:{1,2,5,7}:{(30,1),(33,1),(36,1),(64,1)}
        47:{3,5,7}:{(31,1),(34,1),(37,1),(65,1)}
        48:{2,3,5,6}:{(32,1),(34,1),(60,1),(63,1),(67,1),(107,1),(122,1),(157,1)}
        49:{1,3,5,6}:{(33,1),(34,1),(39,1),(64,1),(68,1),(76,1)}
        50:{3,4,6}:{(34,1),(65,1),(67,1),(68,1),(69,1)}
        51:{2,3,6,7}:{(35,1),(37,1),(63,1),(71,1),(157,1)}
        52:{1,3,6,7}:{(36,1),(37,1),(39,1),(64,1)}
        53:{3,4,6,7}:{(37,1),(38,1),(65,1),(71,1),(73,1),(114,1)}
        54:{1,4,5,7}:{(38,1),(73,1),(74,1)}
        55:{1,2,3,6}:{(39,1),(40,1),(75,1),(128,1)}
        56:{1,3,4,6}:{(39,1),(41,1),(68,1),(75,1),(76,1),(115,1)}
        57:{1,2,4,7}:{(40,1),(41,1),(75,1),(77,1)}
        58:{1,3,4,5,7}:{(41,1),(76,1),(78,1),(79,1),(113,1),(127,1),(163,1),(167,1),(190,1),(197,1)}
        59:{1,2,4,7}:{(42,1),(43,1),(45,1),(80,1),(86,1)}
        60:{2,3,6}:{(43,1),(44,1),(80,1)}
        61:{1,2,3,5}:{(44,1),(81,1),(83,1),(133,1),(135,1)}
        62:{2,3,4}:{(44,1),(83,1)}
        63:{2,3,5,7}:{(45,1),(47,1),(48,1),(51,1),(80,1),(86,1),(94,1)}
        64:{1,3,5,7}:{(46,1),(47,1),(49,1),(52,1),(87,1)}
        65:{3,4,7}:{(47,1),(50,1),(86,1),(87,1)}
        66:{1,2,3,5,6}:{(48,1),(49,1),(55,1),(81,1),(85,1),(89,1),(99,1),(133,1),(143,1),(148,1),(152,1),(176,1),(179,1),(183,1)}
        67:{2,4,6}:{(48,1),(50,1),(86,1),(90,1)}
        68:{1,4,6}:{(49,1),(50,1),(87,1),(91,1)}
        69:{3,4,5}:{(50,1),(90,1),(91,1),(143,1)}
        70:{1,2,3,6,7}:{(51,1),(52,1),(55,1),(85,1),(93,1),(154,1),(176,1),(183,1),(201,1)}
        71:{2,4,6,7}:{(51,1),(53,1),(86,1),(94,1),(140,1)}
        72:{1,3,4,6,7}:{(52,1),(53,1),(56,1),(87,1),(93,1),(95,1),(138,1),(141,1),(183,1)}
        73:{3,5,7}:{(53,1),(54,1),(94,1),(96,1)}
        74:{1,4,5,6}:{(54,1),(96,1),(141,1)}
        75:{1,2,4,6}:{(55,1),(56,1),(57,1),(98,1),(99,1)}
        76:{1,3,5}:{(56,1),(91,1),(99,1),(143,1)}
        77:{2,3,4,7}:{(57,1),(98,1),(101,1),(138,1),(189,1)}
        78:{1,2,4,5,7}:{(57,1),(58,1),(99,1),(101,1),(102,1),(151,1),(153,1),(189,1)}
        79:{1,3,4,6}:{(58,1),(100,1),(102,1),(141,1),(183,1),(185,1),(200,1)}
        80:{2,3,7}:{(59,1),(60,1)}
        81:{1,2,3,6}:{(60,1),(61,1),(104,1),(106,1),(161,1)}
        82:{2,3,4,6}:{(60,1),(62,1),(67,1),(105,1),(106,1),(107,1),(115,1),(157,1)}
        83:{1,2,4}:{(61,1),(62,1),(108,1)}
        84:{2,3,4,5}:{(62,1),(107,1),(109,1),(110,1),(167,1)}
        85:{1,2,3,5,7}:{(63,1),(64,1),(66,1),(70,1),(104,1),(111,1),(121,1),(156,1),(163,1),(174,1),(194,1)}
        86:{2,4,7}:{(63,1),(65,1),(67,1)}
        87:{1,4,7}:{(64,1),(65,1),(68,1)}
        88:{3,4,5,7}:{(65,1),(69,1),(73,1),(112,1),(113,1),(114,1),(163,1)}
        89:{1,2,4,6}:{(66,1),(67,1),(68,1),(111,1),(115,1),(116,1),(173,1),(193,1)}
        90:{2,4,5}:{(67,1),(69,1),(107,1)}
        91:{1,4,5}:{(68,1),(69,1),(76,1)}
        92:{3,4,5,6}:{(69,1),(114,1),(117,1),(118,1),(119,1),(168,1)}
        93:{1,2,4,6,7}:{(70,1),(71,1),(72,1),(75,1),(111,1),(120,1),(121,1),(164,1),(207,1)}
        94:{2,5,7}:{(71,1),(73,1),(122,1)}
        95:{1,3,5,7}:{(72,1),(73,1),(76,1),(113,1),(121,1),(123,1),(163,1)}
        96:{3,5,6}:{(73,1),(74,1),(114,1),(122,1)}
        97:{1,4,5,6,7}:{(74,1),(124,1),(166,1)}
        98:{2,3,4,6}:{(75,1),(77,1),(115,1),(125,1),(128,1),(173,1)}
        99:{1,2,5}:{(75,1),(76,1),(125,1)}
       100:{1,3,5,6}:{(76,1),(79,1),(118,1),(126,1),(127,1),(168,1),(206,1)}
       101:{2,3,5,7}:{(77,1),(78,1),(125,1),(128,1),(163,1)}
       102:{1,2,4,6}:{(78,1),(79,1),(126,1),(128,1),(173,1)}
       103:{1,3,4,6,7}:{(79,1),(127,1),(129,1),(166,1),(196,1),(197,1),(207,1)}
       104:{1,2,3,7}:{(80,1),(81,1),(130,1),(181,1)}
       105:{2,3,4,7}:{(80,1),(82,1),(86,1),(130,1),(131,1),(138,1)}
       106:{1,2,4,6}:{(81,1),(82,1),(83,1),(130,1),(132,1),(133,1),(176,1)}
       107:{2,3,5}:{(82,1),(90,1),(133,1),(143,1)}
       108:{1,3,4}:{(83,1),(135,1)}
       109:{1,2,4,5}:{(83,1),(84,1),(133,1),(135,1),(136,1),(178,1)}
       110:{2,3,4,6}:{(84,1),(134,1),(136,1),(137,1),(185,1)}
       111:{1,2,4,7}:{(85,1),(86,1),(87,1),(89,1),(138,1),(189,1),(202,1)}
       112:{2,4,5,7}:{(86,1),(88,1),(90,1),(94,1),(131,1),(140,1)}
       113:{1,4,5,7}:{(87,1),(88,1),(91,1),(95,1),(141,1)}
       114:{3,4,6}:{(88,1),(96,1),(140,1),(141,1),(183,1)}
       115:{3,4,6}:{(89,1),(138,1),(143,1),(183,1)}
       116:{1,2,4,5}:{(89,1),(90,1),(91,1),(99,1),(133,1),(143,1),(151,1),(178,1)}
       117:{2,4,5,6}:{(90,1),(92,1),(134,1),(140,1),(145,1)}
       118:{1,4,5,6}:{(91,1),(92,1),(100,1),(141,1),(146,1)}
       119:{3,4,5,7}:{(92,1),(142,1),(145,1),(146,1),(186,1)}
       120:{2,3,4,6,7}:{(93,1),(98,1),(138,1),(147,1),(154,1),(183,1),(187,1),(189,1),(204,1)}
       121:{1,2,5,7}:{(93,1),(94,1),(95,1),(99,1),(147,1),(148,1),(209,1)}
       122:{2,5,6}:{(94,1),(96,1),(140,1)}
       123:{1,3,5,6}:{(95,1),(96,1),(141,1),(148,1),(183,1)}
       124:{3,5,6,7}:{(96,1),(97,1),(142,1),(149,1)}
       125:{2,3,5}:{(98,1),(99,1),(143,1),(151,1)}
       126:{1,2,5,6}:{(99,1),(100,1),(102,1),(152,1),(153,1)}
       127:{1,3,5,7}:{(100,1),(103,1),(146,1),(153,1),(186,1),(209,1)}
       128:{2,3,6}:{(101,1),(102,1),(183,1)}
       129:{1,2,4,6,7}:{(102,1),(103,1),(153,1),(154,1),(189,1)}
       130:{1,2,4,7}:{(104,1),(105,1),(106,1),(155,1),(156,1)}
       131:{2,3,5,7}:{(105,1),(107,1),(112,1),(156,1),(157,1),(163,1)}
       132:{1,3,4,6}:{(106,1),(108,1),(115,1),(155,1),(158,1),(161,1),(191,1),(193,1)}
       133:{1,2,5}:{(106,1),(107,1),(158,1)}
       134:{2,3,5,6}:{(107,1),(110,1),(117,1),(157,1),(159,1),(160,1),(168,1)}
       135:{1,3,5}:{(108,1),(109,1),(161,1)}
       136:{1,2,4,6}:{(109,1),(110,1),(159,1),(161,1),(162,1),(193,1)}
       137:{2,3,4,7}:{(110,1),(160,1),(162,1),(197,1)}
       138:{3,4,7}:{(111,1),(115,1),(163,1)}
       139:{1,2,4,5,7}:{(111,1),(112,1),(113,1),(116,1),(121,1),(156,1),(163,1),(164,1),(170,1),(190,1)}
       140:{2,4,6}:{(112,1),(114,1),(122,1),(157,1)}
       141:{1,4,6}:{(113,1),(114,1),(123,1)}
       142:{3,4,6,7}:{(114,1),(119,1),(124,1),(165,1),(166,1),(196,1)}
       143:{3,5}:{(115,1),(116,1)}
       144:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(126,1),(159,1),(164,1),(168,1),(169,1),(173,1),(193,1),(198,1),(206,1)}
       145:{2,4,5,7}:{(117,1),(119,1),(160,1),(165,1)}
       146:{1,4,5,7}:{(118,1),(119,1),(127,1),(166,1)}
       147:{2,3,5,7}:{(120,1),(121,1),(125,1),(163,1),(170,1),(171,1),(208,1)}
       148:{1,2,5,6}:{(121,1),(122,1),(123,1),(164,1),(171,1),(206,1)}
       149:{2,5,6,7}:{(122,1),(124,1),(165,1)}
       150:{1,3,5,6,7}:{(123,1),(124,1),(127,1),(166,1),(172,1),(196,1)}
       151:{2,4,5}:{(125,1),(167,1),(173,1)}
       152:{2,3,5,6}:{(125,1),(126,1),(128,1),(168,1),(173,1),(174,1)}
       153:{1,2,5,7}:{(126,1),(127,1),(129,1),(174,1)}
       154:{2,3,6,7}:{(128,1),(129,1),(174,1),(196,1)}
       155:{1,3,4,7}:{(130,1),(132,1),(138,1),(175,1),(181,1),(202,1)}
       156:{1,2,5,7}:{(130,1),(131,1),(133,1),(175,1),(176,1)}
       157:{2,3,6}:{(131,1),(140,1),(176,1),(183,1)}
       158:{1,3,5}:{(132,1),(133,1),(143,1),(178,1)}
       159:{1,2,5,6}:{(133,1),(134,1),(136,1),(176,1),(179,1),(180,1)}
       160:{2,3,5,7}:{(134,1),(137,1),(145,1),(177,1),(180,1),(186,1)}
       161:{1,3,6}:{(135,1),(136,1),(181,1)}
       162:{1,2,4,7}:{(136,1),(137,1),(180,1),(181,1),(202,1)}
       163:{3,5,7}:{(138,1),(139,1),(143,1),(183,1)}
       164:{1,2,4,6}:{(139,1),(140,1),(141,1),(148,1),(176,1),(183,1),(187,1),(200,1)}
       165:{2,4,6,7}:{(140,1),(142,1),(145,1),(149,1),(177,1)}
       166:{1,4,6,7}:{(141,1),(142,1),(146,1),(150,1)}
       167:{3,4,5}:{(143,1),(151,1),(178,1),(185,1)}
       168:{3,5,6}:{(143,1),(144,1),(183,1),(185,1),(186,1)}
       169:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(153,1),(180,1),(184,1),(186,1),(189,1),(202,1),(205,1),(209,1)}
       170:{2,4,5,7}:{(147,1),(151,1),(182,1),(187,1),(189,1)}
       171:{2,3,5,6}:{(147,1),(148,1),(183,1),(187,1),(203,1)}
       172:{1,2,5,6,7}:{(148,1),(149,1),(150,1),(153,1),(184,1),(188,1),(209,1)}
       173:{2,4,6}:{(151,1),(152,1),(185,1),(189,1)}
       174:{2,3,5,7}:{(152,1),(153,1),(154,1),(186,1),(189,1)}
       175:{1,3,5,7}:{(155,1),(156,1),(158,1),(163,1),(190,1),(191,1)}
       176:{1,2,6}:{(156,1),(157,1),(191,1)}
       177:{2,3,6,7}:{(157,1),(160,1),(165,1),(192,1),(196,1)}
       178:{1,4,5}:{(158,1),(167,1),(193,1)}
       179:{1,3,5,6}:{(158,1),(159,1),(161,1),(168,1),(191,1),(193,1),(194,1),(206,1)}
       180:{1,2,5,7}:{(159,1),(160,1),(162,1),(192,1),(194,1)}
       181:{1,3,7}:{(161,1),(162,1)}
       182:{3,4,5,7}:{(163,1),(167,1),(170,1),(190,1),(195,1),(197,1),(208,1)}
       183:{3,6}:{(163,1),(164,1)}
       184:{1,2,4,6,7}:{(164,1),(165,1),(166,1),(169,1),(172,1),(192,1),(196,1),(199,1),(207,1)}
       185:{3,4,6}:{(167,1),(168,1),(173,1),(193,1),(197,1)}
       186:{3,5,7}:{(168,1),(169,1),(196,1),(197,1)}
       187:{2,4,6}:{(170,1),(171,1),(195,1)}
       188:{2,3,5,6,7}:{(171,1),(172,1),(174,1),(196,1),(199,1),(208,1)}
       189:{2,4,7}:{(173,1),(174,1),(197,1)}
       190:{1,4,5,7}:{(175,1),(178,1),(182,1),(200,1),(202,1),(209,1)}
       191:{1,3,6}:{(175,1),(176,1),(183,1),(200,1)}
       192:{1,2,6,7}:{(176,1),(177,1),(180,1),(201,1)}
       193:{1,4,6}:{(178,1),(179,1),(185,1),(202,1)}
       194:{1,3,5,7}:{(179,1),(180,1),(181,1),(186,1),(201,1),(202,1),(209,1)}
       195:{3,4,6}:{(182,1),(183,1),(187,1),(200,1),(203,1)}
       196:{3,6,7}:{(183,1),(184,1),(186,1)}
       197:{3,4,7}:{(185,1),(186,1),(189,1),(202,1)}
       198:{2,4,5,6}:{(187,1),(203,1),(205,1)}
       199:{2,4,6,7}:{(187,1),(188,1),(189,1),(204,1),(205,1)}
       200:{1,4,6}:{(190,1),(191,1),(195,1),(206,1)}
       201:{1,3,6,7}:{(191,1),(192,1),(194,1),(196,1),(207,1)}
       202:{1,4,7}:{(193,1),(194,1),(197,1)}
       203:{3,5,6}:{(195,1),(198,1),(206,1),(208,1)}
       204:{3,4,6,7}:{(195,1),(196,1),(197,1),(199,1),(207,1),(208,1)}
       205:{2,4,5,7}:{(198,1),(199,1),(208,1)}
       206:{1,5,6}:{(200,1),(203,1),(209,1)}
       207:{1,4,6,7}:{(200,1),(201,1),(202,1),(204,1),(209,1)}
       208:{3,5,7}:{(203,1),(204,1),(205,1),(209,1)}
       209:{1,5,7}:{(206,1),(207,1),(208,1)}

1872 :   0:{1,2,3,6,7}:{(2,1),(3,1),(33,1),(46,1),(81,1),(82,1),(83,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(4,1),(13,1),(17,1),(34,1),(46,1),(49,1),(82,1),(98,1),(104,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(7,1),(8,1),(24,1),(27,1),(50,1),(63,1),(90,1),(91,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(6,1),(7,1),(8,1),(28,1),(52,1),(67,1),(94,1),(95,1),(103,1)}
         4:{2,3,5,7}:{(1,1),(8,1),(9,1),(10,1),(27,1),(53,1),(58,1)}
         5:{1,2,3,5,6}:{(2,1),(11,1),(15,1),(33,1),(36,1),(46,1),(72,1),(73,1),(74,1),(81,1)}
         6:{1,3,4,6,7}:{(3,1),(12,1),(13,1),(35,1),(41,1),(46,1),(80,1),(83,1),(99,1),(104,1)}
         7:{1,2,4,7}:{(2,1),(11,1),(13,1),(68,1),(98,1),(99,1)}
         8:{1,2,5,7}:{(3,1),(4,1),(12,1),(15,1),(72,1),(76,1),(101,1)}
         9:{2,4,5,7}:{(4,1),(16,1),(17,1),(69,1),(98,1)}
        10:{2,3,5,6}:{(4,1),(15,1),(17,1),(38,1),(46,1)}
        11:{1,2,4,6}:{(5,1),(7,1),(19,1),(20,1),(86,1),(87,1)}
        12:{1,3,5,7}:{(6,1),(8,1),(22,1),(23,1),(27,1),(54,1),(93,1)}
        13:{3,4,7}:{(7,1),(19,1),(27,1),(84,1)}
        14:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(20,1),(22,1),(27,1),(28,1),(30,1),(60,1),(63,1),(85,1),(103,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(23,1),(28,1),(57,1),(92,1)}
        16:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(51,1),(58,1),(88,1)}
        17:{2,4,6}:{(9,1),(10,1),(31,1)}
        18:{2,3,5,6,7}:{(10,1),(29,1),(32,1),(58,1),(66,1),(90,1)}
        19:{3,4,6}:{(11,1),(13,1),(36,1),(46,1)}
        20:{1,2,4,5}:{(11,1),(36,1),(69,1),(70,1),(72,1)}
        21:{2,4,5,6}:{(17,1),(38,1),(39,1)}
        22:{1,4,5,7}:{(12,1),(40,1),(41,1),(70,1),(99,1)}
        23:{1,3,5,6}:{(12,1),(15,1),(41,1),(46,1),(77,1)}
        24:{1,2,3,7}:{(33,1),(43,1),(104,1)}
        25:{2,3,4,7}:{(13,1),(34,1),(43,1),(44,1),(98,1),(104,1)}
        26:{1,3,4,7}:{(13,1),(35,1),(43,1),(45,1),(99,1),(104,1)}
        27:{3,5,7}:{(13,1),(14,1),(36,1),(46,1),(96,1),(104,1)}
        28:{1,2,4,6}:{(14,1),(15,1),(17,1),(41,1),(46,1),(48,1),(79,1),(81,1)}
        29:{1,2,5,6,7}:{(15,1),(18,1),(42,1),(47,1),(76,1),(100,1),(101,1)}
        30:{1,4,5,7}:{(16,1),(45,1),(48,1),(70,1),(76,1),(99,1)}
        31:{3,4,6}:{(16,1),(17,1),(38,1),(46,1),(48,1)}
        32:{2,4,6,7}:{(17,1),(18,1),(39,1),(49,1),(98,1)}
        33:{1,2,3,6}:{(24,1),(50,1),(52,1),(102,1)}
        34:{2,3,4,6}:{(19,1),(25,1),(52,1),(53,1),(64,1),(84,1),(86,1),(102,1)}
        35:{1,3,4,6}:{(19,1),(26,1),(52,1),(54,1),(65,1),(84,1),(87,1),(102,1)}
        36:{3,5}:{(19,1),(20,1)}
        37:{1,2,4,5,6}:{(20,1),(21,1),(28,1),(55,1),(56,1),(57,1),(59,1),(86,1),(87,1),(89,1),(92,1)}
        38:{3,5,6}:{(21,1),(31,1),(57,1),(58,1)}
        39:{2,4,5,7}:{(21,1),(32,1),(58,1)}
        40:{3,4,5,7}:{(22,1),(27,1),(51,1),(60,1),(61,1),(88,1),(93,1)}
        41:{1,4,6}:{(22,1),(23,1),(61,1)}
        42:{1,3,5,6,7}:{(23,1),(29,1),(62,1),(66,1),(91,1),(93,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(26,1),(52,1),(63,1)}
        44:{2,3,5,7}:{(25,1),(27,1),(53,1),(60,1),(63,1),(64,1)}
        45:{1,3,5,7}:{(26,1),(27,1),(30,1),(54,1),(63,1),(65,1)}
        46:{3,6}:{(27,1),(28,1)}
        47:{1,2,4,6,7}:{(28,1),(29,1),(32,1),(56,1),(62,1),(66,1),(67,1),(94,1),(95,1),(103,1)}
        48:{1,4,6}:{(30,1),(31,1),(57,1),(65,1)}
        49:{3,4,6,7}:{(31,1),(32,1),(58,1),(66,1),(67,1),(88,1)}
        50:{1,2,3,5}:{(33,1),(68,1),(72,1),(96,1)}
        51:{3,4,5}:{(36,1),(69,1),(70,1),(71,1),(96,1)}
        52:{1,2,4,6}:{(33,1),(34,1),(35,1),(43,1),(68,1),(72,1),(81,1)}
        53:{2,3,5}:{(34,1),(36,1),(69,1),(72,1),(96,1)}
        54:{1,3,5}:{(35,1),(36,1),(70,1),(72,1),(96,1)}
        55:{3,5,6}:{(36,1),(37,1),(46,1),(71,1),(75,1)}
        56:{1,2,4,5,7}:{(37,1),(39,1),(47,1),(75,1),(76,1),(78,1),(98,1),(99,1),(100,1),(101,1)}
        57:{1,5,6}:{(38,1),(48,1),(76,1)}
        58:{3,5,7}:{(38,1),(39,1),(49,1),(76,1)}
        59:{1,4,5,6}:{(41,1),(77,1),(78,1)}
        60:{2,4,5,7}:{(40,1),(44,1),(69,1),(79,1),(98,1),(101,1)}
        61:{3,4,6}:{(40,1),(41,1),(46,1),(77,1),(79,1)}
        62:{1,4,6,7}:{(41,1),(42,1),(78,1),(80,1),(99,1)}
        63:{1,2,5,7}:{(43,1),(44,1),(45,1),(72,1),(81,1)}
        64:{2,3,6}:{(44,1),(46,1),(79,1),(81,1)}
        65:{1,3,6}:{(45,1),(46,1),(48,1),(81,1)}
        66:{3,6,7}:{(46,1),(47,1),(75,1),(104,1)}
        67:{1,4,6,7}:{(48,1),(49,1),(76,1),(83,1),(99,1)}
        68:{1,2,4}:{(50,1),(84,1)}
        69:{2,4,5}:{(51,1),(53,1),(86,1)}
        70:{1,4,5}:{(51,1),(54,1),(87,1)}
        71:{3,4,6}:{(51,1),(55,1),(86,1),(87,1),(88,1),(102,1)}
        72:{1,2,5}:{(52,1),(53,1),(54,1)}
        73:{2,3,5,6}:{(53,1),(55,1),(64,1),(86,1),(89,1),(90,1),(92,1),(102,1)}
        74:{1,3,5,6}:{(54,1),(55,1),(57,1),(65,1),(87,1),(89,1),(91,1),(102,1)}
        75:{3,5,7}:{(55,1),(56,1),(66,1),(88,1)}
        76:{1,5,7}:{(57,1),(58,1),(67,1)}
        77:{3,5,6}:{(59,1),(61,1),(92,1),(93,1)}
        78:{1,4,5,7}:{(59,1),(62,1),(93,1)}
        79:{2,4,6}:{(60,1),(61,1),(64,1),(92,1)}
        80:{3,4,6,7}:{(61,1),(62,1),(66,1),(88,1),(93,1),(94,1)}
        81:{1,2,6}:{(63,1),(64,1),(65,1)}
        82:{2,3,6,7}:{(64,1),(66,1),(90,1),(94,1),(95,1)}
        83:{1,3,6,7}:{(65,1),(66,1),(67,1),(91,1),(95,1)}
        84:{3,4}:{(68,1),(96,1)}
        85:{1,2,4,5}:{(68,1),(69,1),(70,1),(72,1),(96,1),(97,1)}
        86:{2,4,6}:{(69,1),(71,1),(73,1),(98,1)}
        87:{1,4,6}:{(70,1),(71,1),(74,1),(99,1)}
        88:{3,4,7}:{(71,1),(75,1),(98,1),(99,1),(104,1)}
        89:{1,2,5,6}:{(72,1),(73,1),(74,1),(81,1),(97,1),(100,1)}
        90:{2,3,5,7}:{(73,1),(75,1),(82,1),(98,1),(100,1),(101,1),(104,1)}
        91:{1,3,5,7}:{(74,1),(75,1),(76,1),(83,1),(99,1),(100,1),(104,1)}
        92:{2,5,6}:{(77,1),(79,1),(101,1)}
        93:{3,5,7}:{(77,1),(78,1),(80,1),(101,1)}
        94:{2,4,6,7}:{(79,1),(80,1),(82,1),(98,1),(101,1)}
        95:{1,2,6,7}:{(81,1),(82,1),(83,1),(100,1)}
        96:{3,5}:{(84,1),(85,1),(102,1)}
        97:{1,2,4,6}:{(85,1),(86,1),(87,1),(89,1),(102,1),(103,1)}
        98:{2,4,7}:{(86,1),(88,1),(90,1)}
        99:{1,4,7}:{(87,1),(88,1),(91,1)}
       100:{1,2,5,7}:{(89,1),(90,1),(91,1),(95,1),(103,1)}
       101:{2,5,7}:{(92,1),(93,1),(94,1)}
       102:{3,6}:{(96,1),(97,1),(104,1)}
       103:{1,2,4,7}:{(97,1),(98,1),(99,1),(100,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1873 :   0:{1,3,4,5,6}:{(1,1),(2,1),(20,1),(65,1),(72,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(53,1),(60,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(58,1),(61,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(48,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(45,1),(49,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(30,1),(54,1),(58,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(36,1),(76,1)}
         8:{1,3,5,6,7}:{(3,1),(14,1),(16,1),(36,1),(53,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(37,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{2,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(42,1),(45,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(8,1),(64,1)}
        15:{2,4,5,6,7}:{(7,1),(24,1),(86,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(45,1)}
        17:{2,3,6,7}:{(9,1),(10,1)}
        18:{2,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{2,3,4,5}:{(11,1),(23,1)}
        20:{1,3,4,6}:{(13,1),(29,1),(30,1),(54,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(33,1),(54,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(29,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(30,1)}
        24:{2,3,5,6,7}:{(15,1),(31,1),(35,1),(36,1),(79,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(35,1),(36,1),(37,1),(57,1),(59,1)}
        26:{2,3,5,6,7}:{(16,1),(17,1),(36,1),(37,1),(38,1)}
        27:{2,3,4,6,7}:{(17,1),(18,1),(33,1),(37,1),(38,1),(39,1),(56,1)}
        28:{2,3,4,5,7}:{(18,1),(19,1),(34,1),(38,1),(39,1),(76,1)}
        29:{1,3,4,7}:{(20,1),(22,1),(42,1)}
        30:{1,3,5}:{(20,1),(23,1)}
        31:{2,3,4,6,7}:{(24,1),(40,1),(43,1),(48,1)}
        32:{1,2,3,5,6,7}:{(21,1),(26,1),(44,1),(45,1),(47,1),(65,1),(66,1),(69,1),(89,1),(90,1)}
        33:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(41,1),(45,1),(46,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(42,1),(45,1),(46,1),(64,1)}
        35:{1,2,5,6,7}:{(24,1),(43,1),(47,1),(89,1)}
        36:{3,5,6,7}:{(25,1),(48,1),(69,1)}
        37:{2,4,6,7}:{(26,1),(48,1),(49,1)}
        38:{2,3,5,7}:{(27,1),(45,1),(49,1),(50,1),(69,1)}
        39:{2,3,4,6}:{(28,1),(46,1),(50,1),(88,1)}
        40:{2,3,4,5,7}:{(31,1),(51,1),(52,1),(60,1),(79,1),(94,1)}
        41:{1,3,4,6,7}:{(29,1),(33,1),(53,1),(54,1),(56,1),(77,1)}
        42:{1,3,5,7}:{(29,1),(30,1),(34,1),(54,1)}
        43:{1,2,4,6,7}:{(31,1),(35,1),(52,1),(55,1),(59,1)}
        44:{1,2,4,6,7}:{(32,1),(37,1),(56,1),(57,1),(59,1),(77,1),(96,1)}
        45:{1,2,5,7}:{(33,1),(38,1),(53,1),(58,1)}
        46:{1,2,4,6}:{(34,1),(39,1),(54,1),(58,1),(77,1)}
        47:{1,3,5,6,7}:{(35,1),(36,1),(55,1),(59,1),(80,1)}
        48:{3,4,6,7}:{(36,1),(37,1),(59,1),(60,1)}
        49:{2,4,5,7}:{(37,1),(38,1),(60,1),(61,1)}
        50:{2,3,5,6}:{(38,1),(39,1),(58,1),(61,1),(81,1)}
        51:{2,3,4,5,6}:{(40,1),(62,1),(72,1),(90,1),(99,1)}
        52:{1,2,4,5,7}:{(40,1),(43,1),(62,1),(63,1),(71,1),(85,1),(89,1)}
        53:{1,3,5,7}:{(41,1),(45,1),(64,1),(65,1),(69,1)}
        54:{1,3,6}:{(42,1),(46,1)}
        55:{1,3,6,7}:{(43,1),(63,1)}
        56:{3,4,6,7}:{(44,1),(69,1),(88,1)}
        57:{1,2,4,5,7}:{(44,1),(45,1),(49,1),(64,1),(69,1),(70,1),(71,1),(86,1),(89,1)}
        58:{1,2,5,6}:{(45,1),(46,1),(50,1),(65,1)}
        59:{1,4,6,7}:{(47,1),(48,1),(71,1)}
        60:{3,4,5,7}:{(48,1),(49,1),(69,1),(71,1),(72,1)}
        61:{2,4,5,6}:{(49,1),(50,1),(72,1)}
        62:{1,2,4,5,6}:{(51,1),(52,1),(73,1),(82,1),(92,1),(98,1)}
        63:{1,3,5,7}:{(52,1),(55,1),(73,1),(75,1)}
        64:{1,4,5,7}:{(53,1),(76,1),(77,1)}
        65:{1,3,5,6}:{(53,1),(54,1),(58,1),(77,1),(81,1)}
        66:{1,2,3,6,7}:{(55,1),(74,1),(78,1),(104,1)}
        67:{2,3,4,6,7}:{(56,1),(78,1),(79,1),(94,1),(96,1),(104,1)}
        68:{1,3,4,6,7}:{(55,1),(56,1),(59,1),(75,1),(78,1),(80,1),(97,1)}
        69:{3,5,7}:{(56,1),(57,1),(81,1)}
        70:{1,2,4,5,6}:{(57,1),(58,1),(61,1),(77,1),(81,1),(82,1),(96,1),(98,1)}
        71:{1,4,5,7}:{(59,1),(60,1),(80,1),(82,1)}
        72:{3,4,5,6}:{(60,1),(61,1),(81,1),(82,1)}
        73:{1,3,5,6}:{(62,1),(63,1),(84,1)}
        74:{1,2,3,5,7}:{(63,1),(66,1),(83,1),(85,1),(89,1),(101,1)}
        75:{1,3,4,7}:{(63,1),(84,1),(85,1)}
        76:{3,4,5,7}:{(64,1),(69,1),(86,1),(88,1)}
        77:{1,4,6}:{(64,1),(65,1),(88,1)}
        78:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(85,1),(89,1),(102,1)}
        79:{2,3,5,7}:{(67,1),(69,1),(86,1),(89,1),(90,1)}
        80:{1,3,5,7}:{(68,1),(69,1),(71,1),(89,1),(91,1)}
        81:{3,5,6}:{(69,1),(70,1),(88,1)}
        82:{1,4,5,6}:{(71,1),(72,1),(91,1)}
        83:{1,2,3,5,6}:{(73,1),(74,1),(92,1),(98,1),(103,1),(104,1)}
        84:{1,3,4,6}:{(73,1),(75,1),(92,1),(93,1)}
        85:{1,2,4,7}:{(74,1),(75,1),(92,1),(94,1)}
        86:{2,4,5,7}:{(76,1),(79,1),(96,1)}
        87:{1,3,4,5,7}:{(75,1),(76,1),(80,1),(93,1),(95,1),(97,1)}
        88:{3,4,6}:{(76,1),(77,1),(81,1),(96,1)}
        89:{1,2,5,7}:{(78,1),(79,1),(80,1),(98,1)}
        90:{2,3,5,6}:{(79,1),(81,1),(96,1),(98,1),(104,1)}
        91:{1,3,5,6}:{(80,1),(81,1),(82,1),(97,1),(98,1)}
        92:{1,2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        93:{1,3,4,5}:{(84,1),(100,1)}
        94:{2,3,4,7}:{(85,1),(99,1),(101,1)}
        95:{1,2,4,5,7}:{(85,1),(86,1),(87,1),(89,1),(100,1),(101,1),(102,1)}
        96:{2,4,6}:{(86,1),(88,1),(90,1)}
        97:{1,3,4,6}:{(87,1),(88,1),(91,1),(102,1)}
        98:{1,2,5,6}:{(89,1),(90,1),(91,1),(102,1)}
        99:{2,3,4,6}:{(92,1),(94,1),(103,1),(104,1)}
       100:{1,2,4,5}:{(92,1),(93,1),(103,1)}
       101:{2,3,5,7}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       103:{2,3,5}:{(99,1),(100,1)}
       104:{2,3,6}:{(101,1),(102,1)}

1874 :   0:{1,2,3,5,6,7}:{(2,1),(12,1),(18,1),(46,1),(47,1),(48,1),(49,1),(56,1),(58,1),(102,1),(103,1),(107,1),(138,1),(147,1),(165,1)}
         1:{1,2,4,5,6,7}:{(3,1),(11,1),(16,1),(17,1),(18,1),(55,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(69,1),(70,1),(84,1),(128,1),(131,1),(156,1),(172,1)}
         3:{3,5,6,7}:{(1,1),(6,1),(26,1),(82,1)}
         4:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(43,1),(44,1),(48,1),(149,1)}
         5:{3,4,6,7}:{(2,1),(12,1),(42,1),(56,1),(109,1),(147,1),(148,1),(167,1)}
         6:{3,4,6,7}:{(3,1),(15,1),(16,1),(17,1),(42,1),(56,1),(109,1)}
         7:{1,3,5,6,7}:{(3,1),(16,1),(18,1),(19,1),(46,1),(56,1),(107,1)}
         8:{2,3,5,6,7}:{(3,1),(17,1),(18,1),(47,1),(51,1),(56,1),(58,1)}
         9:{1,3,4,6,7}:{(16,1),(19,1),(20,1),(21,1),(56,1),(109,1)}
        10:{1,3,4,5,7}:{(19,1),(21,1),(22,1),(43,1),(93,1),(101,1),(109,1),(140,1),(151,1)}
        11:{1,2,4,5,6}:{(4,1),(26,1),(69,1),(70,1),(74,1)}
        12:{3,5,7}:{(4,1),(5,1),(26,1),(163,1)}
        13:{1,3,4,6,7}:{(5,1),(27,1),(29,1),(69,1),(80,1),(118,1),(119,1),(126,1),(127,1),(131,1),(156,1),(160,1)}
        14:{2,3,4,6,7}:{(5,1),(28,1),(29,1),(37,1),(70,1),(84,1),(85,1),(126,1),(127,1),(161,1),(162,1),(172,1)}
        15:{3,4,5,7}:{(6,1),(31,1),(32,1),(33,1),(82,1)}
        16:{1,4,6,7}:{(6,1),(7,1),(32,1),(69,1),(131,1)}
        17:{2,4,6,7}:{(6,1),(8,1),(33,1),(70,1),(84,1)}
        18:{1,2,5,6,7}:{(7,1),(8,1),(34,1),(36,1),(74,1),(79,1)}
        19:{1,3,5,7}:{(9,1),(32,1),(35,1),(36,1),(82,1)}
        20:{1,2,4,6,7}:{(9,1),(36,1),(37,1),(38,1),(84,1)}
        21:{1,3,4,6}:{(10,1),(35,1),(38,1),(69,1),(126,1),(132,1)}
        22:{1,2,4,5,7}:{(10,1),(36,1),(38,1),(39,1),(77,1),(84,1),(129,1),(133,1)}
        23:{2,3,4,5,7}:{(40,1),(41,1),(44,1),(60,1),(89,1),(101,1),(111,1),(167,1),(168,1)}
        24:{3,4,5,7}:{(12,1),(42,1),(43,1),(44,1),(101,1),(109,1),(151,1),(167,1),(168,1)}
        25:{1,2,4,5,6,7}:{(11,1),(45,1),(98,1),(99,1),(102,1),(136,1)}
        26:{3,5,6}:{(11,1),(12,1),(42,1)}
        27:{1,3,5,7}:{(12,1),(13,1),(43,1),(46,1),(48,1),(101,1),(140,1),(170,1)}
        28:{2,3,5,7}:{(12,1),(14,1),(44,1),(47,1),(48,1),(101,1),(111,1),(171,1)}
        29:{1,2,4,6,7}:{(13,1),(14,1),(48,1),(49,1),(100,1),(104,1),(105,1),(169,1)}
        30:{2,3,4,6,7}:{(17,1),(51,1),(52,1),(56,1),(94,1),(109,1)}
        31:{3,4,5,6}:{(15,1),(42,1),(53,1),(54,1),(108,1),(168,1)}
        32:{1,4,5,7}:{(15,1),(16,1),(19,1),(53,1)}
        33:{2,4,5,7}:{(15,1),(17,1),(51,1),(54,1)}
        34:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(55,1),(56,1),(100,1)}
        35:{1,3,5,6}:{(19,1),(21,1),(53,1),(57,1),(108,1),(140,1)}
        36:{1,2,5,7}:{(19,1),(20,1),(57,1),(58,1)}
        37:{2,3,6,7}:{(20,1),(56,1),(58,1),(59,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(57,1),(59,1),(110,1)}
        39:{2,3,5,7}:{(22,1),(59,1),(60,1),(101,1),(111,1)}
        40:{2,3,4,6}:{(23,1),(62,1),(64,1),(70,1),(126,1),(155,1)}
        41:{1,2,4,5,7}:{(23,1),(64,1),(65,1),(77,1),(116,1),(129,1),(156,1),(157,1)}
        42:{3,4,6}:{(24,1),(26,1),(69,1),(70,1),(126,1)}
        43:{1,4,5,7}:{(24,1),(27,1),(69,1),(131,1),(156,1),(157,1),(164,1)}
        44:{2,4,5,7}:{(24,1),(28,1),(70,1),(84,1),(133,1),(172,1),(173,1)}
        45:{3,5,6,7}:{(25,1),(26,1),(68,1),(154,1)}
        46:{1,3,5,6}:{(26,1),(27,1),(69,1),(74,1),(126,1)}
        47:{2,3,5,6}:{(26,1),(28,1),(70,1),(74,1),(126,1)}
        48:{1,2,5,7}:{(27,1),(28,1),(29,1),(74,1),(129,1),(174,1)}
        49:{1,2,3,6,7}:{(29,1),(37,1),(75,1),(76,1),(80,1),(118,1),(126,1),(158,1),(161,1)}
        50:{1,2,3,5,7}:{(39,1),(65,1),(76,1),(77,1),(129,1)}
        51:{2,3,5,7}:{(30,1),(33,1),(78,1),(79,1),(82,1)}
        52:{1,2,4,6,7}:{(30,1),(79,1),(80,1),(120,1),(131,1)}
        53:{1,4,5,6}:{(31,1),(32,1),(35,1),(69,1),(157,1)}
        54:{2,4,5,6}:{(31,1),(33,1),(70,1),(78,1),(173,1)}
        55:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(36,1),(79,1),(81,1),(82,1),(84,1),(131,1)}
        56:{3,6,7}:{(34,1),(82,1),(126,1)}
        57:{1,2,5,6}:{(35,1),(36,1),(38,1),(83,1),(129,1)}
        58:{2,3,5,7}:{(36,1),(37,1),(82,1),(83,1),(84,1)}
        59:{2,3,6}:{(38,1),(39,1),(126,1)}
        60:{2,3,4,7}:{(39,1),(77,1),(84,1),(85,1),(127,1)}
        61:{3,4,5,6}:{(42,1),(86,1),(87,1),(88,1),(137,1),(151,1)}
        62:{2,3,5,6}:{(40,1),(88,1),(89,1),(90,1),(111,1),(137,1)}
        63:{2,3,4,6,7}:{(40,1),(89,1),(91,1),(99,1),(147,1),(167,1)}
        64:{1,2,4,6}:{(40,1),(41,1),(90,1),(92,1),(139,1)}
        65:{1,3,5,7}:{(41,1),(92,1),(93,1),(101,1),(140,1)}
        66:{2,3,4,5,7}:{(44,1),(51,1),(94,1),(95,1),(101,1),(109,1),(146,1),(151,1),(171,1)}
        67:{1,3,4,5,7}:{(43,1),(96,1),(97,1),(101,1),(134,1),(143,1),(167,1),(168,1),(170,1)}
        68:{3,4,6,7}:{(42,1),(45,1),(86,1),(98,1),(99,1),(147,1),(167,1)}
        69:{1,4,6}:{(42,1),(43,1),(46,1)}
        70:{2,4,6}:{(42,1),(44,1),(47,1)}
        71:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(100,1),(101,1),(104,1),(149,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(98,1),(102,1),(134,1),(138,1),(147,1)}
        73:{2,3,5,6,7}:{(45,1),(47,1),(89,1),(99,1),(102,1),(147,1),(165,1)}
        74:{1,2,5,6}:{(46,1),(47,1),(48,1),(100,1)}
        75:{1,2,3,5,7}:{(48,1),(49,1),(58,1),(101,1),(103,1),(104,1),(107,1),(138,1),(165,1)}
        76:{1,2,3,6}:{(50,1),(59,1),(92,1),(105,1)}
        77:{1,2,4,7}:{(50,1),(60,1),(93,1),(105,1)}
        78:{2,3,5,6}:{(51,1),(54,1),(94,1),(106,1),(108,1),(171,1)}
        79:{1,2,5,7}:{(51,1),(52,1),(106,1),(107,1)}
        80:{1,3,6,7}:{(52,1),(56,1),(107,1),(142,1)}
        81:{1,2,4,5,6}:{(53,1),(54,1),(55,1),(57,1),(100,1),(106,1),(108,1),(110,1),(149,1),(150,1)}
        82:{3,5,7}:{(55,1),(56,1),(108,1),(109,1)}
        83:{2,3,5,6}:{(57,1),(58,1),(59,1),(108,1),(110,1),(111,1)}
        84:{2,4,7}:{(58,1),(109,1),(110,1)}
        85:{2,3,4,6}:{(59,1),(60,1),(105,1),(110,1),(111,1),(148,1)}
        86:{3,4,5,7}:{(61,1),(68,1),(113,1),(114,1),(154,1)}
        87:{1,4,5,6}:{(61,1),(69,1),(112,1),(113,1),(164,1)}
        88:{2,4,5,6}:{(61,1),(62,1),(70,1),(114,1),(133,1)}
        89:{2,3,5,7}:{(62,1),(63,1),(114,1),(116,1),(154,1)}
        90:{1,2,5,6}:{(62,1),(64,1),(116,1),(117,1),(129,1)}
        91:{1,2,4,6,7}:{(63,1),(64,1),(116,1),(118,1),(156,1)}
        92:{1,3,6}:{(64,1),(65,1),(126,1)}
        93:{1,3,4,7}:{(65,1),(77,1),(119,1),(127,1),(156,1)}
        94:{2,3,4,6}:{(66,1),(70,1),(78,1),(120,1),(126,1),(132,1)}
        95:{1,2,4,5,7}:{(66,1),(79,1),(120,1),(121,1),(131,1),(159,1),(164,1),(174,1)}
        96:{1,3,4,6}:{(67,1),(69,1),(112,1),(123,1),(126,1),(155,1)}
        97:{1,2,4,5,7}:{(67,1),(123,1),(124,1),(152,1),(159,1),(172,1),(173,1),(174,1)}
        98:{1,4,6,7}:{(68,1),(69,1),(72,1),(113,1),(156,1)}
        99:{2,4,6,7}:{(68,1),(70,1),(73,1),(114,1),(172,1)}
       100:{1,2,4,6}:{(69,1),(70,1),(71,1),(74,1),(126,1)}
       101:{3,5,7}:{(71,1),(126,1),(127,1),(163,1)}
       102:{1,2,5,6,7}:{(72,1),(73,1),(74,1),(116,1),(125,1),(152,1)}
       103:{1,2,3,5,6}:{(74,1),(75,1),(76,1),(83,1),(117,1),(126,1),(128,1),(129,1),(130,1),(153,1),(158,1),(163,1),(174,1)}
       104:{1,2,4,7}:{(75,1),(84,1),(127,1),(128,1),(131,1),(156,1),(172,1)}
       105:{1,2,4,6}:{(76,1),(77,1),(85,1),(119,1),(129,1)}
       106:{1,2,5,6}:{(78,1),(79,1),(120,1),(130,1),(174,1)}
       107:{1,3,5,7}:{(79,1),(80,1),(82,1),(130,1),(131,1)}
       108:{3,5,6}:{(81,1),(82,1),(126,1),(132,1),(163,1)}
       109:{3,4,7}:{(82,1),(84,1),(131,1),(132,1)}
       110:{2,4,6}:{(83,1),(84,1),(132,1),(133,1)}
       111:{2,3,5}:{(85,1),(129,1),(133,1),(163,1)}
       112:{1,3,5,6}:{(87,1),(96,1),(134,1),(135,1),(137,1),(170,1)}
       113:{1,4,5,7}:{(86,1),(87,1),(98,1),(134,1)}
       114:{2,4,5,7}:{(86,1),(88,1),(89,1),(99,1)}
       115:{1,2,4,5,6}:{(87,1),(88,1),(90,1),(100,1),(135,1),(136,1),(137,1),(139,1),(149,1),(166,1)}
       116:{1,2,5,7}:{(89,1),(90,1),(91,1),(138,1)}
       117:{1,3,5,6}:{(90,1),(92,1),(137,1),(138,1),(139,1),(140,1)}
       118:{1,3,6,7}:{(91,1),(92,1),(138,1),(147,1)}
       119:{1,3,4,6}:{(92,1),(93,1),(105,1),(139,1),(140,1),(148,1)}
       120:{1,2,4,6}:{(94,1),(95,1),(106,1),(142,1),(150,1)}
       121:{1,3,5,7}:{(95,1),(101,1),(142,1),(143,1),(170,1)}
       122:{1,3,4,6,7}:{(96,1),(98,1),(134,1),(144,1),(147,1),(167,1)}
       123:{1,2,4,6}:{(96,1),(97,1),(135,1),(145,1),(166,1)}
       124:{2,3,5,7}:{(97,1),(101,1),(145,1),(146,1),(171,1)}
       125:{1,2,4,6,7}:{(98,1),(99,1),(100,1),(102,1),(136,1),(147,1)}
       126:{3,6}:{(100,1),(101,1)}
       127:{3,4,7}:{(101,1),(104,1),(148,1)}
       128:{1,2,4,6}:{(103,1),(104,1),(110,1),(139,1),(148,1),(149,1),(150,1),(166,1)}
       129:{1,2,5}:{(105,1),(111,1),(140,1)}
       130:{1,3,5,6}:{(106,1),(107,1),(108,1),(142,1),(150,1),(170,1)}
       131:{1,4,7}:{(107,1),(109,1),(150,1)}
       132:{3,4,6}:{(108,1),(109,1),(110,1),(150,1),(151,1)}
       133:{2,4,5}:{(110,1),(111,1),(151,1)}
       134:{1,3,5,7}:{(112,1),(113,1),(122,1),(152,1),(154,1)}
       135:{1,2,5,6}:{(112,1),(123,1),(152,1),(153,1),(174,1)}
       136:{1,2,4,5,7}:{(113,1),(114,1),(115,1),(116,1),(125,1),(152,1),(154,1),(156,1),(172,1)}
       137:{3,5,6}:{(115,1),(126,1),(154,1),(155,1),(163,1)}
       138:{1,3,5,7}:{(116,1),(117,1),(118,1),(154,1),(156,1)}
       139:{1,4,6}:{(117,1),(155,1),(156,1),(157,1)}
       140:{1,3,5}:{(119,1),(129,1),(157,1),(163,1)}
       141:{1,2,3,5,7}:{(121,1),(124,1),(158,1),(159,1),(174,1)}
       142:{1,3,6}:{(120,1),(121,1),(126,1)}
       143:{1,3,4,7}:{(121,1),(127,1),(131,1),(159,1),(160,1)}
       144:{1,2,4,6,7}:{(122,1),(123,1),(152,1),(161,1),(172,1)}
       145:{2,3,6}:{(123,1),(124,1),(126,1)}
       146:{2,3,4,7}:{(124,1),(127,1),(159,1),(162,1),(172,1)}
       147:{3,6,7}:{(125,1),(126,1),(154,1)}
       148:{3,4,6}:{(126,1),(127,1),(128,1),(163,1)}
       149:{1,2,4,5}:{(128,1),(129,1),(133,1),(157,1),(163,1),(164,1),(173,1),(174,1)}
       150:{1,4,6}:{(130,1),(131,1),(132,1),(164,1)}
       151:{3,4,5}:{(132,1),(133,1),(163,1),(164,1)}
       152:{1,2,5,7}:{(134,1),(135,1),(144,1),(165,1)}
       153:{2,3,5,6}:{(135,1),(137,1),(145,1),(165,1),(166,1),(171,1)}
       154:{3,5,7}:{(136,1),(137,1),(147,1),(167,1)}
       155:{3,4,6}:{(137,1),(139,1),(166,1),(167,1),(168,1)}
       156:{1,4,7}:{(138,1),(139,1),(167,1)}
       157:{1,4,5}:{(139,1),(140,1),(168,1)}
       158:{1,2,3,6}:{(141,1),(142,1),(145,1),(169,1)}
       159:{1,2,4,7}:{(141,1),(143,1),(146,1),(169,1)}
       160:{1,3,4,6}:{(142,1),(143,1),(148,1),(150,1),(169,1),(170,1)}
       161:{2,3,6,7}:{(144,1),(145,1),(147,1),(165,1)}
       162:{2,3,4,6}:{(145,1),(146,1),(148,1),(166,1),(169,1),(171,1)}
       163:{3,5}:{(148,1),(149,1)}
       164:{1,4,5}:{(150,1),(151,1),(170,1)}
       165:{2,3,5,7}:{(152,1),(153,1),(154,1),(161,1),(172,1)}
       166:{2,4,6}:{(153,1),(155,1),(172,1),(173,1)}
       167:{3,4,7}:{(154,1),(155,1),(156,1),(172,1)}
       168:{3,4,5}:{(155,1),(157,1),(163,1),(173,1)}
       169:{1,2,4,6}:{(158,1),(159,1),(160,1),(162,1),(174,1)}
       170:{1,3,5}:{(160,1),(163,1),(164,1),(174,1)}
       171:{2,3,5}:{(162,1),(163,1),(173,1),(174,1)}
       172:{2,4,7}:{(165,1),(166,1),(167,1)}
       173:{2,4,5}:{(166,1),(168,1),(171,1)}
       174:{1,2,5}:{(169,1),(170,1),(171,1)}

1875 :   0:{1,3,4,5,6}:{(1,1),(2,1),(18,1),(57,1),(63,1)}
         1:{1,2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(49,1),(52,1)}
         2:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(28,1),(48,1),(53,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(40,1),(43,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(44,1)}
         6:{1,2,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(47,1),(49,1)}
         7:{2,3,4,6}:{(3,1),(11,1),(13,1),(14,1)}
         8:{2,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,2,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(34,1)}
        10:{1,3,5,6,7}:{(5,1),(16,1),(17,1),(35,1),(48,1)}
        11:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
        12:{1,2,3,5,7}:{(6,1),(8,1),(20,1),(21,1),(37,1),(40,1)}
        13:{2,3,4,5}:{(7,1),(19,1)}
        14:{2,3,4,7}:{(7,1),(8,1),(20,1)}
        15:{2,3,6,7}:{(8,1),(9,1)}
        16:{1,2,5,6,7}:{(9,1),(10,1),(24,1),(40,1)}
        17:{1,4,5,6,7}:{(10,1),(26,1),(58,1)}
        18:{1,3,4,6}:{(11,1),(27,1),(28,1),(47,1)}
        19:{1,2,4,5}:{(11,1),(13,1),(27,1)}
        20:{1,2,4,7}:{(11,1),(12,1),(14,1),(28,1)}
        21:{1,2,3,6,7}:{(12,1),(15,1),(30,1),(47,1)}
        22:{2,3,4,5,7}:{(13,1),(14,1),(29,1),(32,1),(33,1),(68,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1),(51,1)}
        24:{2,3,5,6,7}:{(15,1),(16,1),(33,1),(34,1),(35,1)}
        25:{1,2,4,5,6,7}:{(16,1),(17,1),(34,1),(35,1),(36,1),(50,1),(54,1),(56,1)}
        26:{3,4,5,6,7}:{(17,1),(35,1),(36,1),(68,1)}
        27:{1,3,5}:{(18,1),(19,1)}
        28:{1,3,4,7}:{(18,1),(20,1),(37,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(39,1),(40,1),(58,1)}
        30:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(39,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(24,1),(40,1),(41,1),(45,1),(57,1),(60,1),(81,1),(82,1),(83,1)}
        32:{2,3,4,6}:{(22,1),(39,1),(42,1),(77,1)}
        33:{2,3,5,7}:{(23,1),(40,1),(42,1),(43,1),(60,1)}
        34:{2,4,6,7}:{(24,1),(43,1),(44,1)}
        35:{3,5,6,7}:{(25,1),(44,1),(60,1)}
        36:{2,4,5,6,7}:{(26,1),(46,1),(79,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(47,1)}
        38:{1,3,4,6,7}:{(28,1),(30,1),(47,1),(48,1),(51,1),(67,1)}
        39:{1,2,4,6}:{(29,1),(32,1),(47,1),(49,1),(67,1)}
        40:{1,2,5,7}:{(30,1),(33,1),(48,1),(49,1)}
        41:{1,2,4,6,7}:{(31,1),(34,1),(50,1),(51,1),(54,1),(67,1),(87,1)}
        42:{2,3,5,6}:{(32,1),(33,1),(49,1),(52,1),(69,1)}
        43:{2,4,5,7}:{(33,1),(34,1),(52,1),(53,1)}
        44:{3,4,6,7}:{(34,1),(35,1),(53,1),(54,1)}
        45:{1,3,5,6,7}:{(35,1),(54,1),(56,1),(70,1),(76,1)}
        46:{2,3,5,6,7}:{(35,1),(36,1),(55,1),(56,1),(71,1)}
        47:{1,3,6}:{(37,1),(39,1)}
        48:{1,3,5,7}:{(38,1),(40,1),(57,1),(58,1),(60,1)}
        49:{1,2,5,6}:{(39,1),(40,1),(42,1),(57,1)}
        50:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(58,1),(59,1),(60,1),(64,1),(79,1),(82,1)}
        51:{3,4,6,7}:{(41,1),(60,1),(77,1)}
        52:{2,4,5,6}:{(42,1),(43,1),(63,1)}
        53:{3,4,5,7}:{(43,1),(44,1),(60,1),(63,1),(64,1)}
        54:{1,4,6,7}:{(44,1),(45,1),(64,1)}
        55:{2,3,4,6,7}:{(44,1),(46,1),(65,1),(66,1)}
        56:{1,2,5,6,7}:{(45,1),(46,1),(66,1),(82,1)}
        57:{1,3,5,6}:{(47,1),(48,1),(49,1),(67,1),(69,1)}
        58:{1,4,5,7}:{(48,1),(67,1),(68,1)}
        59:{1,2,4,5,6}:{(49,1),(50,1),(52,1),(67,1),(69,1),(73,1),(87,1),(89,1)}
        60:{3,5,7}:{(50,1),(51,1),(69,1)}
        61:{1,3,4,6,7}:{(51,1),(54,1),(70,1),(72,1),(76,1),(86,1),(92,1)}
        62:{2,3,4,6,7}:{(51,1),(71,1),(72,1),(87,1),(98,1),(99,1)}
        63:{3,4,5,6}:{(52,1),(53,1),(69,1),(73,1)}
        64:{1,4,5,7}:{(53,1),(54,1),(70,1),(73,1)}
        65:{2,3,4,5,7}:{(53,1),(55,1),(71,1),(74,1),(75,1),(99,1)}
        66:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(75,1),(76,1)}
        67:{1,4,6}:{(57,1),(58,1),(77,1)}
        68:{3,4,5,7}:{(58,1),(60,1),(77,1),(79,1)}
        69:{3,5,6}:{(59,1),(60,1),(77,1)}
        70:{1,3,5,7}:{(60,1),(61,1),(64,1),(80,1),(82,1)}
        71:{2,3,5,7}:{(60,1),(62,1),(79,1),(81,1),(82,1)}
        72:{1,2,4,6,7}:{(61,1),(62,1),(82,1),(83,1),(93,1),(96,1)}
        73:{1,4,5,6}:{(63,1),(64,1),(80,1)}
        74:{2,3,4,5,6}:{(63,1),(65,1),(81,1),(84,1),(102,1)}
        75:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(82,1),(84,1),(85,1),(96,1)}
        76:{1,3,6,7}:{(66,1),(85,1)}
        77:{3,4,6}:{(67,1),(68,1),(69,1),(87,1)}
        78:{1,3,4,5,7}:{(68,1),(70,1),(86,1),(88,1),(92,1),(101,1)}
        79:{2,4,5,7}:{(68,1),(71,1),(87,1)}
        80:{1,3,5,6}:{(69,1),(70,1),(73,1),(86,1),(89,1)}
        81:{2,3,5,6}:{(69,1),(71,1),(87,1),(89,1),(98,1)}
        82:{1,2,5,7}:{(70,1),(71,1),(72,1),(89,1)}
        83:{1,2,3,6,7}:{(72,1),(76,1),(90,1),(98,1)}
        84:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(89,1),(91,1),(100,1)}
        85:{1,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,3,4,6}:{(77,1),(78,1),(80,1),(93,1)}
        87:{2,4,6}:{(77,1),(79,1),(81,1)}
        88:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(93,1),(94,1),(96,1),(103,1)}
        89:{1,2,5,6}:{(80,1),(81,1),(82,1),(93,1)}
        90:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(94,1),(95,1),(96,1)}
        91:{1,3,5,6}:{(84,1),(85,1),(97,1)}
        92:{1,3,4,7}:{(85,1),(96,1),(97,1)}
        93:{1,2,4,6}:{(86,1),(87,1),(88,1),(89,1),(98,1)}
        94:{2,3,5,7}:{(88,1),(98,1),(99,1),(104,1)}
        95:{1,2,3,5,6}:{(89,1),(90,1),(91,1),(98,1),(100,1),(104,1)}
        96:{1,2,4,7}:{(90,1),(92,1),(99,1),(100,1)}
        97:{1,3,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{2,3,6}:{(93,1),(94,1)}
        99:{2,3,4,7}:{(94,1),(96,1),(102,1)}
       100:{1,2,4,6}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{1,3,4,5}:{(97,1),(103,1)}
       102:{2,3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       103:{1,2,4,5}:{(100,1),(101,1),(104,1)}
       104:{2,3,5}:{(102,1),(103,1)}

1876 :   0:{1,3,4,5,7}:{(7,1),(8,1),(10,1),(37,1),(80,1),(94,1),(96,1),(103,1),(139,1),(154,1)}
         1:{1,3,4,6,7}:{(8,1),(9,1),(10,1),(12,1),(48,1),(50,1),(103,1)}
         2:{1,3,5,6,7}:{(10,1),(11,1),(12,1),(14,1),(33,1),(48,1)}
         3:{2,3,5,6,7}:{(11,1),(13,1),(34,1),(44,1),(47,1),(48,1)}
         4:{1,4,5,6,7}:{(12,1),(14,1),(83,1)}
         5:{1,3,4,6,7}:{(16,1),(17,1),(60,1),(107,1),(111,1),(117,1),(121,1),(124,1),(159,1)}
         6:{2,3,4,6,7}:{(16,1),(18,1),(22,1),(28,1),(61,1),(67,1),(72,1),(121,1),(124,1)}
         7:{1,2,4,5,7}:{(0,1),(19,1),(20,1),(23,1),(57,1),(72,1),(119,1),(128,1)}
         8:{1,3,4,6}:{(0,1),(20,1),(21,1),(60,1),(121,1),(123,1),(129,1)}
         9:{1,2,4,6,7}:{(1,1),(20,1),(22,1),(23,1),(72,1)}
        10:{1,3,5,7}:{(1,1),(21,1),(23,1),(24,1),(73,1),(75,1)}
        11:{1,2,5,6,7}:{(2,1),(3,1),(23,1),(26,1),(29,1),(59,1),(75,1)}
        12:{1,4,6,7}:{(2,1),(24,1),(27,1),(60,1)}
        13:{2,4,6,7}:{(3,1),(25,1),(28,1),(61,1),(72,1)}
        14:{3,5,6,7}:{(4,1),(27,1),(29,1),(114,1)}
        15:{2,3,4,5,7}:{(30,1),(31,1),(38,1),(39,1),(79,1),(94,1),(95,1),(98,1),(178,1),(181,1)}
        16:{1,2,4,6,7}:{(5,1),(6,1),(35,1),(36,1),(50,1),(88,1),(90,1),(93,1),(145,1)}
        17:{1,3,5,7}:{(5,1),(33,1),(36,1),(37,1),(94,1),(137,1),(139,1)}
        18:{2,3,5,7}:{(6,1),(34,1),(36,1),(38,1),(47,1),(94,1),(98,1)}
        19:{2,3,5,7}:{(7,1),(39,1),(40,1),(94,1),(98,1)}
        20:{1,2,4,6}:{(7,1),(8,1),(40,1),(41,1),(99,1)}
        21:{1,3,5,6}:{(8,1),(10,1),(41,1),(42,1),(100,1),(102,1),(139,1)}
        22:{2,3,6,7}:{(9,1),(40,1),(44,1),(48,1)}
        23:{1,2,5,7}:{(9,1),(10,1),(41,1),(44,1)}
        24:{1,4,5,7}:{(10,1),(12,1),(42,1),(46,1)}
        25:{2,4,5,7}:{(13,1),(43,1),(47,1)}
        26:{1,2,4,6,7}:{(11,1),(12,1),(13,1),(45,1),(48,1),(49,1),(50,1),(90,1),(106,1)}
        27:{3,4,6,7}:{(12,1),(14,1),(46,1),(48,1),(49,1),(91,1)}
        28:{3,4,6,7}:{(13,1),(47,1),(48,1),(50,1),(92,1),(103,1)}
        29:{2,5,6,7}:{(14,1),(49,1),(142,1)}
        30:{1,2,4,5,7}:{(15,1),(52,1),(53,1),(57,1),(108,1),(119,1),(159,1),(163,1)}
        31:{2,3,4,6}:{(15,1),(53,1),(54,1),(61,1),(121,1),(122,1),(164,1)}
        32:{1,2,3,5,7}:{(19,1),(52,1),(57,1),(58,1),(119,1)}
        33:{1,3,5,6}:{(17,1),(59,1),(60,1),(114,1),(121,1)}
        34:{2,3,5,6}:{(18,1),(59,1),(61,1),(71,1),(121,1)}
        35:{1,2,3,6,7}:{(16,1),(22,1),(58,1),(62,1),(76,1),(107,1),(121,1),(168,1),(172,1)}
        36:{1,2,5,7}:{(16,1),(17,1),(18,1),(59,1),(75,1),(119,1),(161,1)}
        37:{1,4,5,7}:{(17,1),(60,1),(64,1),(159,1),(163,1)}
        38:{2,4,5,7}:{(18,1),(61,1),(65,1),(72,1),(128,1)}
        39:{2,3,4,7}:{(19,1),(57,1),(67,1),(72,1),(124,1)}
        40:{2,3,6}:{(19,1),(20,1),(121,1)}
        41:{1,2,5,6}:{(20,1),(21,1),(23,1),(68,1),(119,1)}
        42:{1,4,5,6}:{(21,1),(24,1),(60,1),(70,1),(163,1)}
        43:{2,4,5,6}:{(25,1),(61,1),(71,1)}
        44:{2,3,5,7}:{(22,1),(23,1),(68,1),(72,1),(73,1)}
        45:{1,2,4,5,7}:{(23,1),(24,1),(25,1),(26,1),(69,1),(72,1),(73,1),(74,1),(75,1),(132,1),(134,1)}
        46:{3,4,5,7}:{(24,1),(27,1),(70,1),(73,1),(74,1)}
        47:{3,5,7}:{(25,1),(28,1),(71,1),(75,1)}
        48:{3,6,7}:{(26,1),(73,1),(121,1)}
        49:{2,4,6,7}:{(27,1),(29,1),(74,1),(77,1),(122,1)}
        50:{1,4,6,7}:{(28,1),(75,1),(76,1),(123,1),(132,1)}
        51:{2,3,4,6,7}:{(31,1),(78,1),(79,1),(87,1),(144,1),(145,1),(178,1)}
        52:{1,3,5,7}:{(30,1),(80,1),(81,1),(94,1),(139,1)}
        53:{1,2,4,6}:{(30,1),(31,1),(81,1),(82,1),(140,1)}
        54:{2,3,5,6}:{(31,1),(79,1),(82,1),(84,1),(98,1),(141,1),(142,1)}
        55:{1,3,5,6,7}:{(33,1),(85,1),(86,1),(135,1),(137,1),(144,1)}
        56:{2,3,5,6,7}:{(34,1),(79,1),(85,1),(87,1),(97,1),(144,1)}
        57:{1,2,4,7}:{(32,1),(39,1),(80,1),(88,1)}
        58:{1,2,3,6}:{(32,1),(40,1),(81,1),(88,1)}
        59:{1,2,5,6}:{(33,1),(34,1),(36,1),(90,1),(102,1),(142,1)}
        60:{1,4,6}:{(33,1),(37,1),(91,1)}
        61:{2,4,6}:{(34,1),(38,1),(92,1)}
        62:{1,2,3,5,7}:{(35,1),(36,1),(44,1),(89,1),(93,1),(94,1),(104,1),(135,1),(153,1),(180,1),(189,1)}
        63:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(90,1),(93,1),(94,1),(95,1),(96,1),(147,1),(153,1)}
        64:{3,4,5,7}:{(37,1),(91,1),(94,1),(95,1),(137,1),(178,1),(181,1)}
        65:{3,4,5,7}:{(38,1),(47,1),(92,1),(94,1),(96,1),(103,1),(154,1)}
        66:{2,4,5,6,7}:{(43,1),(87,1),(97,1)}
        67:{2,3,4,6}:{(39,1),(40,1),(88,1),(98,1),(99,1),(148,1)}
        68:{2,3,5,6}:{(40,1),(41,1),(44,1),(98,1),(99,1),(100,1)}
        69:{1,2,4,5,6}:{(41,1),(42,1),(43,1),(45,1),(90,1),(99,1),(100,1),(101,1),(102,1),(147,1),(155,1),(157,1)}
        70:{3,4,5,6}:{(42,1),(46,1),(91,1),(100,1),(101,1),(181,1)}
        71:{3,5,6}:{(43,1),(47,1),(92,1),(102,1)}
        72:{2,4,7}:{(44,1),(99,1),(103,1)}
        73:{3,5,7}:{(45,1),(48,1),(100,1),(103,1)}
        74:{2,4,5,7}:{(46,1),(49,1),(101,1),(105,1)}
        75:{1,5,7}:{(47,1),(50,1),(102,1)}
        76:{1,3,6,7}:{(48,1),(50,1),(104,1),(106,1),(149,1)}
        77:{2,3,6,7}:{(48,1),(49,1),(105,1),(106,1),(150,1)}
        78:{1,2,4,6,7}:{(51,1),(53,1),(107,1),(108,1),(159,1)}
        79:{2,3,5,7}:{(51,1),(54,1),(108,1),(110,1),(160,1),(161,1)}
        80:{1,3,4,7}:{(52,1),(57,1),(111,1),(124,1),(159,1)}
        81:{1,3,6}:{(52,1),(53,1),(121,1)}
        82:{1,2,5,6}:{(53,1),(54,1),(108,1),(112,1),(119,1)}
        83:{1,4,5,6}:{(60,1),(109,1),(114,1)}
        84:{2,4,5,6}:{(54,1),(61,1),(110,1),(115,1),(128,1)}
        85:{1,2,5,6,7}:{(55,1),(56,1),(59,1),(108,1),(116,1),(127,1),(161,1)}
        86:{1,4,6,7}:{(55,1),(60,1),(109,1),(117,1),(159,1)}
        87:{2,4,6,7}:{(56,1),(61,1),(110,1),(118,1)}
        88:{1,2,4,6}:{(57,1),(58,1),(67,1),(111,1),(119,1)}
        89:{1,2,3,5,6}:{(58,1),(59,1),(62,1),(68,1),(112,1),(119,1),(120,1),(121,1),(130,1),(166,1),(169,1),(172,1),(198,1),(199,1)}
        90:{1,2,4,6}:{(59,1),(60,1),(61,1),(63,1),(121,1),(122,1),(123,1),(172,1)}
        91:{3,4,6}:{(60,1),(64,1),(114,1),(121,1),(122,1)}
        92:{3,4,6}:{(61,1),(65,1),(71,1),(121,1),(123,1)}
        93:{1,2,4,7}:{(62,1),(72,1),(120,1),(124,1),(132,1),(159,1),(193,1)}
        94:{3,5,7}:{(63,1),(121,1),(124,1),(169,1)}
        95:{2,4,5,7}:{(64,1),(122,1),(126,1),(161,1),(193,1),(196,1)}
        96:{1,4,5,7}:{(65,1),(75,1),(123,1),(125,1),(132,1),(174,1)}
        97:{3,5,6,7}:{(66,1),(71,1),(118,1),(127,1)}
        98:{2,3,5}:{(67,1),(119,1),(128,1),(169,1)}
        99:{2,4,6}:{(68,1),(72,1),(128,1),(129,1)}
       100:{3,5,6}:{(69,1),(73,1),(121,1),(129,1),(169,1)}
       101:{2,4,5,6}:{(70,1),(74,1),(122,1),(131,1),(196,1)}
       102:{1,5,6}:{(71,1),(75,1),(123,1)}
       103:{3,4,7}:{(72,1),(73,1),(129,1),(132,1)}
       104:{1,3,5,7}:{(73,1),(75,1),(76,1),(130,1),(132,1),(134,1),(177,1)}
       105:{2,3,5,7}:{(73,1),(74,1),(77,1),(131,1),(133,1),(134,1)}
       106:{1,2,6,7}:{(76,1),(77,1),(134,1),(172,1)}
       107:{1,3,6,7}:{(78,1),(81,1),(135,1),(144,1)}
       108:{1,2,5,7}:{(78,1),(79,1),(82,1),(135,1)}
       109:{1,4,5,7}:{(83,1),(86,1),(137,1)}
       110:{2,4,5,7}:{(79,1),(84,1),(87,1),(138,1)}
       111:{1,3,4,6}:{(80,1),(81,1),(88,1),(139,1),(140,1),(148,1)}
       112:{1,3,5,6}:{(81,1),(82,1),(135,1),(139,1),(140,1),(141,1)}
       113:{1,2,4,5,6}:{(82,1),(83,1),(84,1),(90,1),(136,1),(140,1),(141,1),(142,1),(143,1),(147,1),(183,1),(184,1)}
       114:{3,5,6}:{(83,1),(91,1),(137,1),(142,1)}
       115:{3,4,5,6}:{(84,1),(92,1),(138,1),(141,1),(143,1),(154,1)}
       116:{1,2,4,6,7}:{(85,1),(86,1),(87,1),(90,1),(136,1),(144,1),(145,1),(146,1),(185,1)}
       117:{3,4,6,7}:{(86,1),(91,1),(137,1),(144,1),(145,1),(178,1)}
       118:{3,4,6,7}:{(87,1),(92,1),(97,1),(138,1),(144,1),(146,1)}
       119:{1,2,5}:{(88,1),(98,1),(139,1)}
       120:{1,2,4,6}:{(89,1),(93,1),(99,1),(140,1),(147,1),(148,1),(155,1),(183,1)}
       121:{3,6}:{(90,1),(94,1)}
       122:{2,4,6}:{(91,1),(95,1),(142,1),(150,1)}
       123:{1,4,6}:{(92,1),(96,1),(102,1),(149,1)}
       124:{3,4,7}:{(93,1),(94,1),(148,1)}
       125:{1,3,5,7}:{(94,1),(96,1),(149,1),(151,1),(153,1),(186,1)}
       126:{2,3,5,7}:{(94,1),(95,1),(150,1),(152,1),(153,1),(187,1)}
       127:{1,5,6,7}:{(97,1),(102,1),(146,1)}
       128:{2,4,5}:{(98,1),(99,1),(154,1)}
       129:{3,4,6}:{(99,1),(100,1),(103,1),(154,1),(155,1)}
       130:{1,3,5,6}:{(100,1),(102,1),(104,1),(149,1),(155,1),(157,1),(186,1),(191,1)}
       131:{2,3,5,6}:{(100,1),(101,1),(105,1),(150,1),(156,1),(157,1),(187,1)}
       132:{1,4,7}:{(103,1),(104,1),(155,1)}
       133:{2,3,4,7}:{(103,1),(105,1),(156,1),(158,1)}
       134:{1,2,5,7}:{(104,1),(105,1),(106,1),(157,1),(158,1)}
       135:{1,3,5,7}:{(107,1),(108,1),(112,1),(159,1),(160,1)}
       136:{1,2,4,5,7}:{(108,1),(109,1),(110,1),(113,1),(116,1),(159,1),(160,1),(161,1),(162,1),(193,1),(194,1)}
       137:{3,5,7}:{(109,1),(114,1),(117,1),(161,1)}
       138:{3,4,5,7}:{(110,1),(115,1),(118,1),(160,1),(162,1)}
       139:{1,3,5}:{(111,1),(119,1),(163,1),(169,1)}
       140:{1,4,6}:{(112,1),(159,1),(163,1),(164,1)}
       141:{3,5,6}:{(113,1),(121,1),(160,1),(164,1),(169,1)}
       142:{2,5,6}:{(114,1),(122,1),(161,1)}
       143:{1,4,5,6}:{(115,1),(123,1),(162,1),(165,1),(174,1)}
       144:{3,6,7}:{(116,1),(121,1),(160,1)}
       145:{2,4,6,7}:{(117,1),(122,1),(161,1),(168,1),(193,1)}
       146:{1,4,6,7}:{(118,1),(123,1),(127,1),(162,1),(167,1)}
       147:{1,2,4,5}:{(119,1),(120,1),(128,1),(163,1),(169,1),(174,1),(196,1),(198,1)}
       148:{3,4,6}:{(120,1),(121,1),(124,1),(169,1)}
       149:{1,3,6}:{(121,1),(123,1),(125,1),(172,1)}
       150:{2,3,6}:{(121,1),(122,1),(126,1),(172,1)}
       151:{1,3,4,7}:{(124,1),(125,1),(132,1),(170,1),(173,1),(177,1)}
       152:{2,3,4,7}:{(124,1),(126,1),(171,1),(173,1),(193,1),(206,1)}
       153:{1,2,5,7}:{(125,1),(126,1),(172,1),(173,1),(198,1)}
       154:{3,4,5}:{(128,1),(129,1),(169,1),(174,1)}
       155:{1,4,6}:{(129,1),(130,1),(132,1),(174,1)}
       156:{2,3,4,6}:{(129,1),(131,1),(133,1),(175,1),(176,1)}
       157:{1,2,5,6}:{(130,1),(131,1),(134,1),(172,1),(176,1),(198,1)}
       158:{1,2,4,7}:{(132,1),(133,1),(134,1),(176,1),(177,1)}
       159:{1,4,7}:{(135,1),(140,1),(178,1)}
       160:{3,5,7}:{(136,1),(141,1),(144,1),(178,1)}
       161:{2,5,7}:{(137,1),(142,1),(145,1)}
       162:{1,4,5,7}:{(138,1),(143,1),(146,1),(179,1)}
       163:{1,4,5}:{(139,1),(140,1),(181,1)}
       164:{3,4,6}:{(140,1),(141,1),(178,1),(181,1),(183,1)}
       165:{1,3,5,6}:{(141,1),(143,1),(149,1),(179,1),(182,1),(184,1),(186,1)}
       166:{2,3,5,6}:{(141,1),(142,1),(150,1),(180,1),(183,1),(184,1),(187,1),(203,1)}
       167:{1,3,6,7}:{(144,1),(146,1),(149,1),(179,1),(185,1)}
       168:{2,3,6,7}:{(144,1),(145,1),(150,1),(180,1),(185,1)}
       169:{3,5}:{(147,1),(148,1)}
       170:{1,3,4,6}:{(148,1),(149,1),(151,1),(155,1),(186,1),(188,1),(191,1),(205,1)}
       171:{2,3,4,6}:{(148,1),(150,1),(152,1),(183,1),(187,1),(188,1),(203,1),(209,1)}
       172:{1,2,6}:{(149,1),(150,1),(153,1)}
       173:{1,2,4,7}:{(151,1),(152,1),(153,1),(188,1),(189,1)}
       174:{1,4,5}:{(154,1),(155,1),(186,1)}
       175:{2,3,4,5}:{(154,1),(156,1),(187,1),(190,1),(209,1)}
       176:{1,2,4,6}:{(155,1),(156,1),(157,1),(158,1),(190,1),(191,1)}
       177:{1,3,7}:{(158,1),(191,1)}
       178:{3,4,7}:{(159,1),(160,1),(164,1),(193,1)}
       179:{1,3,5,7}:{(160,1),(162,1),(165,1),(167,1),(192,1),(194,1)}
       180:{2,3,5,7}:{(160,1),(161,1),(166,1),(168,1),(193,1),(194,1),(206,1)}
       181:{3,4,5}:{(163,1),(164,1),(169,1),(196,1)}
       182:{1,3,4,6}:{(164,1),(165,1),(192,1),(195,1),(197,1)}
       183:{2,4,6}:{(164,1),(166,1),(193,1),(196,1)}
       184:{1,2,5,6}:{(165,1),(166,1),(172,1),(194,1),(197,1),(198,1)}
       185:{1,2,6,7}:{(167,1),(168,1),(172,1),(194,1)}
       186:{1,3,5}:{(169,1),(170,1),(174,1),(198,1)}
       187:{2,3,5}:{(169,1),(171,1),(196,1),(198,1)}
       188:{1,2,4,6}:{(170,1),(171,1),(172,1),(173,1),(198,1),(199,1),(208,1)}
       189:{1,2,3,7}:{(173,1),(177,1),(199,1),(206,1)}
       190:{1,2,4,5}:{(174,1),(175,1),(176,1),(198,1),(200,1),(208,1)}
       191:{1,3,6}:{(176,1),(177,1),(200,1)}
       192:{1,3,4,7}:{(178,1),(179,1),(182,1),(201,1)}
       193:{2,4,7}:{(178,1),(180,1),(183,1)}
       194:{1,2,5,7}:{(179,1),(180,1),(184,1),(185,1),(201,1)}
       195:{1,3,4,5}:{(181,1),(182,1),(186,1),(202,1),(205,1)}
       196:{2,4,5}:{(181,1),(183,1),(187,1)}
       197:{1,2,4,6}:{(182,1),(183,1),(184,1),(201,1),(202,1),(203,1)}
       198:{1,2,5}:{(186,1),(187,1),(188,1)}
       199:{1,2,3,6}:{(188,1),(189,1),(191,1),(203,1),(204,1)}
       200:{1,3,5}:{(190,1),(191,1),(205,1)}
       201:{1,2,4,7}:{(192,1),(193,1),(194,1),(197,1),(206,1)}
       202:{1,2,4,5}:{(195,1),(196,1),(197,1),(198,1),(207,1),(208,1)}
       203:{2,3,6}:{(197,1),(206,1),(207,1)}
       204:{1,2,3,5}:{(198,1),(199,1),(200,1),(207,1),(208,1)}
       205:{1,3,4}:{(200,1),(208,1)}
       206:{2,3,7}:{(201,1),(203,1)}
       207:{2,3,5}:{(202,1),(203,1),(209,1)}
       208:{1,2,4}:{(204,1),(205,1),(209,1)}
       209:{2,3,4}:{(207,1),(208,1)}

1877 :   0:{1,3,4,6,7}:{(2,1),(3,1),(14,1),(39,1),(42,1),(45,1),(70,1),(73,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(40,1),(42,1),(45,1),(71,1),(74,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(26,1),(29,1),(55,1),(56,1),(84,1),(87,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(30,1),(49,1),(85,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(8,1),(10,1),(30,1),(50,1),(86,1)}
         5:{1,3,5,6}:{(3,1),(13,1),(14,1),(36,1),(42,1)}
         6:{2,3,5,6}:{(4,1),(13,1),(15,1),(37,1),(42,1)}
         7:{1,2,3,6,7}:{(2,1),(16,1),(42,1),(70,1),(71,1),(75,1),(96,1),(101,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(4,1),(13,1),(65,1),(66,1),(95,1)}
         9:{1,4,5,7}:{(3,1),(14,1),(18,1),(89,1),(92,1)}
        10:{2,4,5,7}:{(4,1),(15,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(5,1),(22,1),(23,1),(49,1),(54,1),(78,1)}
        12:{2,3,5,6,7}:{(6,1),(22,1),(24,1),(50,1),(54,1),(79,1)}
        13:{1,2,5,6}:{(5,1),(6,1),(8,1),(26,1),(52,1),(53,1)}
        14:{1,4,6}:{(5,1),(9,1),(27,1)}
        15:{2,4,6}:{(6,1),(10,1),(28,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(25,1),(29,1),(30,1),(63,1),(78,1),(79,1),(88,1),(100,1)}
        17:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(26,1),(29,1),(30,1),(31,1),(32,1),(57,1),(63,1),(97,1),(98,1)}
        18:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(49,1),(77,1),(80,1)}
        19:{3,4,5,7}:{(10,1),(28,1),(30,1),(32,1),(50,1),(77,1),(80,1)}
        20:{1,4,5,6}:{(14,1),(33,1),(36,1)}
        21:{2,4,5,6}:{(15,1),(34,1),(37,1)}
        22:{1,2,5,6,7}:{(11,1),(12,1),(13,1),(38,1),(65,1),(66,1),(91,1)}
        23:{1,4,6,7}:{(11,1),(14,1),(33,1),(39,1),(89,1)}
        24:{2,4,6,7}:{(12,1),(15,1),(34,1),(40,1),(90,1)}
        25:{1,2,3,5,6}:{(13,1),(16,1),(41,1),(42,1),(68,1),(69,1),(72,1),(75,1),(95,1),(96,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(42,1),(43,1),(44,1),(75,1)}
        27:{3,4,6}:{(14,1),(18,1),(36,1),(42,1),(43,1)}
        28:{3,4,6}:{(15,1),(19,1),(37,1),(42,1),(44,1)}
        29:{1,2,4,7}:{(16,1),(41,1),(45,1),(89,1),(90,1),(103,1)}
        30:{3,5,7}:{(17,1),(42,1),(45,1),(72,1),(101,1),(102,1)}
        31:{2,4,5,7}:{(18,1),(43,1),(47,1),(65,1),(90,1),(93,1)}
        32:{1,4,5,7}:{(19,1),(44,1),(46,1),(66,1),(89,1),(92,1)}
        33:{1,4,5,7}:{(20,1),(23,1),(49,1)}
        34:{2,4,5,7}:{(21,1),(24,1),(50,1)}
        35:{1,2,4,5,6}:{(20,1),(21,1),(26,1),(48,1),(51,1),(52,1),(53,1),(57,1),(81,1),(82,1),(83,1)}
        36:{3,5,6}:{(20,1),(27,1),(49,1),(52,1)}
        37:{3,5,6}:{(21,1),(28,1),(50,1),(53,1)}
        38:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(26,1),(48,1),(54,1),(55,1),(56,1),(84,1),(97,1)}
        39:{3,4,6,7}:{(23,1),(27,1),(49,1),(54,1),(55,1),(77,1)}
        40:{3,4,6,7}:{(24,1),(28,1),(50,1),(54,1),(56,1),(77,1)}
        41:{1,2,4,6}:{(25,1),(29,1),(57,1),(58,1),(81,1),(82,1)}
        42:{3,6}:{(26,1),(30,1)}
        43:{2,4,6}:{(27,1),(31,1),(52,1),(60,1)}
        44:{1,4,6}:{(28,1),(32,1),(53,1),(59,1)}
        45:{3,4,7}:{(29,1),(30,1),(58,1),(104,1)}
        46:{1,3,5,7}:{(30,1),(32,1),(59,1),(61,1),(63,1),(85,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(60,1),(62,1),(63,1),(86,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(38,1),(64,1),(65,1),(66,1),(89,1),(90,1),(91,1)}
        49:{3,5,7}:{(33,1),(36,1),(39,1),(65,1)}
        50:{3,5,7}:{(34,1),(37,1),(40,1),(66,1)}
        51:{3,5,6}:{(35,1),(42,1),(64,1),(67,1),(72,1)}
        52:{2,5,6}:{(36,1),(43,1),(65,1)}
        53:{1,5,6}:{(37,1),(44,1),(66,1)}
        54:{3,6,7}:{(38,1),(42,1),(64,1),(101,1)}
        55:{2,4,6,7}:{(39,1),(43,1),(65,1),(71,1),(90,1)}
        56:{1,4,6,7}:{(40,1),(44,1),(66,1),(70,1),(89,1)}
        57:{1,2,4,5}:{(41,1),(72,1),(92,1),(93,1),(95,1)}
        58:{3,4,6}:{(41,1),(42,1),(45,1),(72,1)}
        59:{1,3,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{2,3,6}:{(42,1),(43,1),(47,1),(75,1)}
        61:{1,3,4,7}:{(45,1),(46,1),(73,1),(76,1),(89,1),(101,1)}
        62:{2,3,4,7}:{(45,1),(47,1),(74,1),(76,1),(90,1),(101,1)}
        63:{1,2,5,7}:{(46,1),(47,1),(75,1),(76,1),(95,1)}
        64:{3,5,7}:{(48,1),(51,1),(54,1),(77,1)}
        65:{2,5,7}:{(49,1),(52,1),(55,1)}
        66:{1,5,7}:{(50,1),(53,1),(56,1)}
        67:{3,4,6}:{(51,1),(77,1),(80,1),(81,1),(82,1),(99,1)}
        68:{1,3,5,6}:{(51,1),(53,1),(59,1),(78,1),(81,1),(83,1),(85,1),(99,1)}
        69:{2,3,5,6}:{(51,1),(52,1),(60,1),(79,1),(82,1),(83,1),(86,1),(99,1)}
        70:{1,3,6,7}:{(54,1),(56,1),(59,1),(78,1),(84,1)}
        71:{2,3,6,7}:{(54,1),(55,1),(60,1),(79,1),(84,1)}
        72:{3,5}:{(57,1),(58,1)}
        73:{1,3,4,6}:{(58,1),(59,1),(61,1),(81,1),(85,1),(87,1),(99,1),(104,1)}
        74:{2,3,4,6}:{(58,1),(60,1),(62,1),(82,1),(86,1),(87,1),(99,1),(104,1)}
        75:{1,2,6}:{(59,1),(60,1),(63,1)}
        76:{1,2,4,7}:{(61,1),(62,1),(63,1),(87,1),(88,1)}
        77:{3,4,7}:{(64,1),(67,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(66,1),(68,1),(70,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(69,1),(71,1),(90,1),(91,1),(101,1)}
        80:{3,4,5}:{(67,1),(72,1),(92,1),(93,1),(102,1)}
        81:{1,4,6}:{(67,1),(68,1),(89,1),(92,1)}
        82:{2,4,6}:{(67,1),(69,1),(90,1),(93,1)}
        83:{1,2,5,6}:{(68,1),(69,1),(75,1),(91,1),(94,1),(95,1)}
        84:{1,2,6,7}:{(70,1),(71,1),(75,1),(91,1)}
        85:{1,3,5}:{(72,1),(73,1),(92,1),(95,1),(102,1)}
        86:{2,3,5}:{(72,1),(74,1),(93,1),(95,1),(102,1)}
        87:{1,2,4,6}:{(73,1),(74,1),(75,1),(76,1),(95,1),(96,1),(103,1)}
        88:{1,2,3,7}:{(76,1),(96,1),(101,1)}
        89:{1,4,7}:{(77,1),(78,1),(81,1)}
        90:{2,4,7}:{(77,1),(79,1),(82,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(83,1),(84,1),(97,1)}
        92:{1,4,5}:{(80,1),(81,1),(85,1)}
        93:{2,4,5}:{(80,1),(82,1),(86,1)}
        94:{1,2,4,6}:{(81,1),(82,1),(83,1),(97,1),(98,1),(99,1)}
        95:{1,2,5}:{(85,1),(86,1),(87,1)}
        96:{1,2,3,6}:{(87,1),(88,1),(99,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(94,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
        99:{3,6}:{(94,1),(101,1),(102,1)}
       100:{1,2,3,5}:{(95,1),(96,1),(102,1),(103,1)}
       101:{3,7}:{(97,1),(99,1)}
       102:{3,5}:{(98,1),(99,1),(104,1)}
       103:{1,2,4}:{(100,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1878 :   0:{4,5,6,7}:{(3,1),(71,1),(230,1)}
         1:{3,4,5,6}:{(4,1),(5,1),(6,1),(32,1),(137,1),(196,1),(222,1)}
         2:{1,3,4,5}:{(7,1),(8,1),(81,1),(86,1),(152,1)}
         3:{3,5,6,7}:{(0,1),(10,1),(11,1),(12,1),(228,1)}
         4:{3,4,5,7}:{(1,1),(10,1),(15,1),(16,1),(52,1),(103,1)}
         5:{1,4,5,6}:{(1,1),(14,1),(15,1),(179,1),(214,1)}
         6:{2,4,5,6}:{(1,1),(13,1),(16,1),(204,1),(225,1)}
         7:{1,3,4,6}:{(2,1),(14,1),(19,1),(20,1),(53,1)}
         8:{1,2,4,5}:{(2,1),(20,1),(21,1),(59,1),(113,1),(121,1)}
         9:{2,3,4,5}:{(22,1),(23,1),(81,1),(127,1),(186,1)}
        10:{3,4,6,7}:{(3,1),(4,1),(24,1),(25,1),(70,1),(71,1),(222,1)}
        11:{1,5,6,7}:{(3,1),(24,1),(223,1)}
        12:{2,5,6,7}:{(3,1),(25,1),(229,1)}
        13:{2,3,5,6}:{(6,1),(22,1),(27,1),(28,1),(32,1),(186,1),(217,1)}
        14:{1,3,5,6}:{(5,1),(7,1),(29,1),(30,1),(32,1),(152,1),(201,1)}
        15:{1,4,5,7}:{(4,1),(5,1),(24,1),(29,1)}
        16:{2,4,5,7}:{(4,1),(6,1),(25,1),(27,1)}
        17:{1,2,4,5,6}:{(5,1),(6,1),(28,1),(30,1),(31,1),(32,1),(77,1),(79,1),(137,1),(144,1),(192,1),(193,1),(198,1)}
        18:{2,3,4,5}:{(33,1),(34,1),(38,1),(90,1),(196,1)}
        19:{1,3,4,7}:{(7,1),(29,1),(36,1),(80,1)}
        20:{1,2,4,6}:{(7,1),(8,1),(30,1),(36,1),(37,1),(79,1)}
        21:{2,3,5}:{(8,1),(37,1),(38,1)}
        22:{2,3,4,6}:{(9,1),(13,1),(40,1),(41,1),(53,1)}
        23:{1,2,4,5}:{(9,1),(41,1),(42,1),(96,1),(111,1),(161,1)}
        24:{1,4,6,7}:{(10,1),(11,1),(15,1),(44,1),(214,1)}
        25:{2,4,6,7}:{(10,1),(12,1),(16,1),(43,1),(225,1)}
        26:{1,2,5,6,7}:{(11,1),(12,1),(45,1),(46,1),(166,1),(167,1),(209,1)}
        27:{2,3,5,7}:{(13,1),(16,1),(40,1),(43,1),(48,1),(52,1)}
        28:{1,2,5,6}:{(13,1),(41,1),(48,1),(49,1),(161,1),(206,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(19,1),(44,1),(50,1),(52,1)}
        30:{1,2,5,6}:{(14,1),(20,1),(50,1),(51,1),(121,1),(181,1)}
        31:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(45,1),(48,1),(50,1),(52,1),(103,1),(110,1),(112,1),(166,1),(167,1)}
        32:{3,5,6}:{(17,1),(52,1),(53,1),(173,1),(212,1)}
        33:{2,3,4,6}:{(18,1),(54,1),(55,1),(56,1),(171,1)}
        34:{1,2,4,5}:{(18,1),(56,1),(57,1),(59,1),(121,1),(179,1)}
        35:{1,2,3,5}:{(21,1),(57,1),(58,1),(59,1),(121,1)}
        36:{1,2,4,7}:{(19,1),(20,1),(50,1),(60,1),(112,1)}
        37:{2,3,6}:{(20,1),(21,1),(60,1)}
        38:{2,3,4}:{(21,1),(59,1)}
        39:{1,3,4,5}:{(62,1),(63,1),(67,1),(131,1),(196,1)}
        40:{2,3,4,7}:{(22,1),(27,1),(65,1),(80,1)}
        41:{1,2,4,6}:{(22,1),(23,1),(28,1),(65,1),(66,1),(77,1)}
        42:{1,3,5}:{(23,1),(66,1),(67,1)}
        43:{2,3,6,7}:{(25,1),(27,1),(68,1),(70,1),(217,1)}
        44:{1,3,6,7}:{(24,1),(29,1),(69,1),(70,1),(201,1)}
        45:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(31,1),(68,1),(69,1),(70,1),(71,1),(134,1),(135,1),(198,1)}
        46:{3,5,6,7}:{(26,1),(70,1),(71,1),(136,1),(220,1)}
        47:{3,4,5,6}:{(72,1),(73,1),(74,1),(81,1),(141,1),(147,1),(230,1)}
        48:{1,2,5,7}:{(27,1),(28,1),(65,1),(68,1),(76,1)}
        49:{1,3,5,6}:{(28,1),(32,1),(66,1),(76,1),(77,1),(131,1),(188,1),(192,1)}
        50:{1,2,5,7}:{(29,1),(30,1),(36,1),(69,1),(78,1)}
        51:{2,3,5,6}:{(30,1),(32,1),(37,1),(78,1),(79,1),(90,1),(154,1),(193,1)}
        52:{3,5,7}:{(31,1),(32,1),(70,1),(80,1)}
        53:{3,4,6}:{(32,1),(77,1),(79,1),(80,1),(81,1)}
        54:{2,3,5,6}:{(33,1),(74,1),(82,1),(83,1),(90,1),(141,1),(154,1)}
        55:{2,3,4,7}:{(33,1),(82,1),(84,1),(195,1)}
        56:{1,2,4,6}:{(33,1),(34,1),(83,1),(84,1),(85,1),(150,1)}
        57:{1,3,5}:{(34,1),(85,1),(86,1)}
        58:{1,2,3,6}:{(35,1),(37,1),(85,1),(87,1),(88,1)}
        59:{1,2,4}:{(35,1),(38,1),(86,1)}
        60:{2,3,7}:{(36,1),(37,1)}
        61:{2,3,4,6}:{(37,1),(38,1),(79,1),(88,1),(89,1),(90,1),(142,1),(154,1)}
        62:{1,3,4,6}:{(39,1),(91,1),(92,1),(93,1),(171,1)}
        63:{1,2,4,5}:{(39,1),(93,1),(94,1),(96,1),(161,1),(204,1)}
        64:{1,2,3,5}:{(42,1),(94,1),(95,1),(96,1),(161,1)}
        65:{1,2,4,7}:{(40,1),(41,1),(48,1),(97,1),(110,1)}
        66:{1,3,6}:{(41,1),(42,1),(97,1)}
        67:{1,3,4}:{(42,1),(96,1)}
        68:{1,2,6,7}:{(43,1),(48,1),(100,1),(206,1)}
        69:{1,2,6,7}:{(44,1),(50,1),(101,1),(181,1)}
        70:{3,6,7}:{(45,1),(52,1),(212,1)}
        71:{4,6,7}:{(46,1),(103,1),(227,1)}
        72:{3,4,5,7}:{(47,1),(104,1),(105,1),(106,1),(170,1),(226,1)}
        73:{1,4,5,6}:{(47,1),(91,1),(105,1),(111,1),(175,1)}
        74:{2,4,5,6}:{(47,1),(54,1),(106,1),(113,1),(176,1)}
        75:{1,2,3,5,6}:{(49,1),(51,1),(58,1),(95,1),(108,1),(109,1),(117,1),(121,1),(157,1),(161,1),(173,1),(181,1),(206,1),(209,1),(212,1)}
        76:{1,3,5,7}:{(48,1),(49,1),(52,1),(97,1),(100,1),(110,1),(166,1)}
        77:{1,4,6}:{(49,1),(53,1),(110,1),(111,1)}
        78:{2,3,5,7}:{(50,1),(51,1),(52,1),(60,1),(101,1),(112,1),(167,1)}
        79:{2,4,6}:{(51,1),(53,1),(112,1),(113,1)}
        80:{3,4,7}:{(52,1),(53,1),(110,1),(112,1)}
        81:{3,4,5}:{(53,1),(111,1),(113,1),(173,1)}
        82:{2,3,5,7}:{(54,1),(55,1),(106,1),(115,1),(116,1),(170,1)}
        83:{1,2,5,6}:{(54,1),(56,1),(116,1),(117,1),(121,1),(181,1)}
        84:{1,2,4,7}:{(55,1),(56,1),(116,1),(118,1),(178,1)}
        85:{1,3,6}:{(56,1),(57,1),(118,1)}
        86:{1,3,4}:{(57,1),(59,1)}
        87:{1,2,3,7}:{(58,1),(60,1),(118,1),(120,1)}
        88:{1,2,4,6}:{(58,1),(59,1),(61,1),(119,1),(120,1),(121,1),(181,1)}
        89:{2,3,4,7}:{(60,1),(61,1),(112,1),(120,1),(122,1),(172,1)}
        90:{2,3,5}:{(61,1),(113,1),(121,1),(173,1)}
        91:{1,3,5,6}:{(62,1),(73,1),(123,1),(124,1),(131,1),(141,1),(188,1)}
        92:{1,3,4,7}:{(62,1),(123,1),(125,1),(195,1)}
        93:{1,2,4,6}:{(62,1),(63,1),(124,1),(125,1),(126,1),(184,1)}
        94:{2,3,5}:{(63,1),(126,1),(127,1)}
        95:{1,2,3,6}:{(64,1),(66,1),(126,1),(128,1),(129,1)}
        96:{1,2,4}:{(64,1),(67,1),(127,1)}
        97:{1,3,7}:{(65,1),(66,1)}
        98:{1,3,4,6}:{(66,1),(67,1),(77,1),(129,1),(130,1),(131,1),(142,1),(188,1)}
        99:{4,5,6,7}:{(132,1),(137,1),(218,1)}
       100:{1,3,6,7}:{(68,1),(70,1),(76,1),(134,1),(188,1)}
       101:{2,3,6,7}:{(69,1),(70,1),(78,1),(135,1),(154,1)}
       102:{3,4,6,7}:{(70,1),(71,1),(80,1),(134,1),(135,1),(136,1),(147,1)}
       103:{4,5,7}:{(71,1),(136,1),(137,1)}
       104:{3,4,6,7}:{(72,1),(132,1),(138,1),(139,1),(147,1),(194,1),(218,1)}
       105:{1,4,5,7}:{(72,1),(73,1),(123,1),(138,1)}
       106:{2,4,5,7}:{(72,1),(74,1),(82,1),(139,1)}
       107:{1,2,4,5,6}:{(73,1),(74,1),(83,1),(124,1),(140,1),(141,1),(144,1),(150,1),(184,1),(198,1),(223,1),(229,1),(230,1)}
       108:{1,2,3,5,7}:{(75,1),(76,1),(78,1),(87,1),(128,1),(133,1),(143,1),(149,1),(153,1),(183,1),(187,1),(191,1),(197,1)}
       109:{1,2,4,6}:{(75,1),(77,1),(79,1),(142,1),(143,1),(144,1),(150,1),(184,1)}
       110:{1,4,7}:{(76,1),(77,1),(80,1)}
       111:{1,4,5}:{(77,1),(81,1),(131,1)}
       112:{2,4,7}:{(78,1),(79,1),(80,1)}
       113:{2,4,5}:{(79,1),(81,1),(90,1)}
       114:{3,4,5,7}:{(80,1),(81,1),(136,1),(145,1),(146,1),(147,1),(197,1),(219,1)}
       115:{2,3,6,7}:{(82,1),(139,1),(148,1),(154,1),(194,1)}
       116:{1,2,5,7}:{(82,1),(83,1),(84,1),(148,1),(149,1)}
       117:{1,3,5,6}:{(83,1),(85,1),(141,1),(149,1),(150,1),(152,1),(201,1),(223,1)}
       118:{1,3,7}:{(84,1),(85,1)}
       119:{1,3,4,6}:{(85,1),(86,1),(88,1),(142,1),(150,1),(151,1),(152,1),(201,1)}
       120:{1,2,4,7}:{(87,1),(88,1),(89,1),(151,1),(153,1)}
       121:{1,2,5}:{(88,1),(90,1),(152,1)}
       122:{2,3,5,7}:{(89,1),(90,1),(146,1),(153,1),(154,1),(197,1)}
       123:{1,3,5,7}:{(91,1),(92,1),(105,1),(155,1),(156,1),(170,1)}
       124:{1,2,5,6}:{(91,1),(93,1),(156,1),(157,1),(161,1),(206,1)}
       125:{1,2,4,7}:{(92,1),(93,1),(156,1),(158,1),(203,1)}
       126:{2,3,6}:{(93,1),(94,1),(158,1)}
       127:{2,3,4}:{(94,1),(96,1)}
       128:{1,2,3,7}:{(95,1),(97,1),(158,1),(160,1)}
       129:{1,2,4,6}:{(95,1),(96,1),(98,1),(159,1),(160,1),(161,1),(206,1)}
       130:{1,3,4,7}:{(97,1),(98,1),(110,1),(160,1),(162,1),(172,1)}
       131:{1,3,5}:{(98,1),(111,1),(161,1),(173,1)}
       132:{3,5,6,7}:{(99,1),(104,1),(163,1),(164,1),(168,1)}
       133:{1,2,3,6,7}:{(100,1),(101,1),(108,1),(165,1),(177,1),(181,1),(202,1),(206,1),(212,1)}
       134:{1,4,6,7}:{(100,1),(102,1),(110,1),(166,1),(175,1)}
       135:{2,4,6,7}:{(101,1),(102,1),(112,1),(167,1),(176,1)}
       136:{3,5,7}:{(102,1),(103,1),(166,1),(167,1),(168,1)}
       137:{4,5,6}:{(103,1),(168,1),(227,1)}
       138:{1,4,6,7}:{(104,1),(105,1),(155,1),(163,1),(175,1)}
       139:{2,4,6,7}:{(104,1),(106,1),(115,1),(164,1),(176,1)}
       140:{1,2,4,5,7}:{(105,1),(106,1),(107,1),(116,1),(156,1),(169,1),(170,1),(178,1),(203,1),(213,1),(224,1),(226,1)}
       141:{3,5,6}:{(107,1),(170,1),(171,1),(173,1),(212,1)}
       142:{3,4,6}:{(109,1),(172,1),(173,1),(212,1)}
       143:{1,2,4,7}:{(108,1),(109,1),(110,1),(112,1),(172,1),(178,1),(203,1)}
       144:{1,2,4,5}:{(109,1),(111,1),(113,1),(121,1),(161,1),(173,1),(179,1),(204,1)}
       145:{1,4,5,7}:{(110,1),(111,1),(114,1),(162,1),(166,1),(175,1)}
       146:{2,4,5,7}:{(112,1),(113,1),(114,1),(122,1),(167,1),(176,1)}
       147:{3,4,6}:{(114,1),(168,1),(175,1),(176,1),(212,1),(227,1)}
       148:{1,2,6,7}:{(115,1),(116,1),(177,1),(181,1)}
       149:{1,3,5,7}:{(116,1),(117,1),(118,1),(170,1),(177,1),(178,1),(213,1)}
       150:{1,4,6}:{(117,1),(171,1),(178,1),(179,1)}
       151:{1,3,4,7}:{(118,1),(119,1),(120,1),(172,1),(178,1),(180,1)}
       152:{1,3,5}:{(119,1),(121,1),(173,1),(179,1)}
       153:{1,2,5,7}:{(120,1),(121,1),(122,1),(180,1),(181,1)}
       154:{2,3,6}:{(122,1),(176,1),(181,1),(212,1)}
       155:{1,3,6,7}:{(123,1),(138,1),(182,1),(188,1),(194,1)}
       156:{1,2,5,7}:{(123,1),(124,1),(125,1),(182,1),(183,1)}
       157:{2,3,5,6}:{(124,1),(126,1),(141,1),(183,1),(184,1),(186,1),(217,1),(229,1)}
       158:{2,3,7}:{(125,1),(126,1)}
       159:{2,3,4,6}:{(126,1),(127,1),(129,1),(142,1),(184,1),(185,1),(186,1),(217,1)}
       160:{1,2,4,7}:{(128,1),(129,1),(130,1),(185,1),(187,1)}
       161:{1,2,5}:{(129,1),(131,1),(186,1)}
       162:{1,3,5,7}:{(130,1),(131,1),(145,1),(187,1),(188,1),(197,1)}
       163:{1,5,6,7}:{(132,1),(138,1),(192,1)}
       164:{2,5,6,7}:{(132,1),(139,1),(193,1)}
       165:{1,2,4,6,7}:{(133,1),(134,1),(135,1),(143,1),(190,1),(191,1),(198,1),(199,1),(215,1)}
       166:{1,5,7}:{(134,1),(136,1),(192,1)}
       167:{2,5,7}:{(135,1),(136,1),(193,1)}
       168:{3,5,6}:{(136,1),(137,1),(147,1),(192,1),(193,1)}
       169:{1,2,4,6,7}:{(138,1),(139,1),(140,1),(148,1),(182,1),(189,1),(194,1),(198,1),(199,1),(215,1),(218,1)}
       170:{3,5,7}:{(140,1),(141,1),(194,1),(195,1)}
       171:{3,4,6}:{(141,1),(150,1),(184,1),(195,1),(196,1)}
       172:{3,4,7}:{(142,1),(143,1),(197,1)}
       173:{3,5}:{(142,1),(144,1)}
       174:{1,2,4,5,7}:{(143,1),(144,1),(145,1),(146,1),(153,1),(187,1),(191,1),(197,1),(198,1),(200,1),(216,1),(219,1)}
       175:{1,4,6}:{(145,1),(147,1),(188,1),(192,1)}
       176:{2,4,6}:{(146,1),(147,1),(154,1),(193,1)}
       177:{1,3,6,7}:{(148,1),(149,1),(194,1),(199,1),(201,1)}
       178:{1,4,7}:{(149,1),(150,1),(195,1)}
       179:{1,4,5}:{(150,1),(152,1),(196,1)}
       180:{1,3,5,7}:{(151,1),(152,1),(153,1),(197,1),(200,1),(201,1)}
       181:{1,2,6}:{(153,1),(154,1),(201,1)}
       182:{1,2,6,7}:{(155,1),(156,1),(202,1),(206,1)}
       183:{2,3,5,7}:{(156,1),(157,1),(158,1),(170,1),(202,1),(203,1),(224,1)}
       184:{2,4,6}:{(157,1),(171,1),(203,1),(204,1)}
       185:{2,3,4,7}:{(158,1),(159,1),(160,1),(172,1),(203,1),(205,1)}
       186:{2,3,5}:{(159,1),(161,1),(173,1),(204,1)}
       187:{1,2,5,7}:{(160,1),(161,1),(162,1),(205,1),(206,1)}
       188:{1,3,6}:{(162,1),(175,1),(206,1),(212,1)}
       189:{1,2,5,6,7}:{(163,1),(164,1),(169,1),(207,1),(209,1),(213,1),(224,1)}
       190:{3,4,6,7}:{(165,1),(172,1),(208,1),(212,1),(227,1)}
       191:{1,2,5,7}:{(165,1),(166,1),(167,1),(208,1),(209,1),(213,1),(224,1)}
       192:{1,5,6}:{(166,1),(168,1),(175,1)}
       193:{2,5,6}:{(167,1),(168,1),(176,1)}
       194:{3,6,7}:{(169,1),(170,1),(212,1)}
       195:{3,4,7}:{(170,1),(171,1),(178,1),(203,1)}
       196:{3,4,5}:{(171,1),(173,1),(179,1),(204,1)}
       197:{3,5,7}:{(172,1),(173,1),(174,1),(212,1)}
       198:{1,2,4,6}:{(174,1),(175,1),(176,1),(181,1),(206,1),(209,1),(212,1),(214,1),(225,1),(227,1)}
       199:{1,4,6,7}:{(177,1),(178,1),(210,1),(213,1),(214,1)}
       200:{1,4,5,7}:{(178,1),(179,1),(180,1),(211,1),(213,1),(214,1)}
       201:{1,3,6}:{(180,1),(181,1),(212,1),(214,1)}
       202:{2,3,6,7}:{(182,1),(183,1),(194,1),(215,1),(217,1)}
       203:{2,4,7}:{(183,1),(184,1),(195,1)}
       204:{2,4,5}:{(184,1),(186,1),(196,1)}
       205:{2,3,5,7}:{(185,1),(186,1),(187,1),(197,1),(216,1),(217,1)}
       206:{1,2,6}:{(187,1),(188,1),(217,1)}
       207:{3,5,6,7}:{(189,1),(194,1),(218,1),(220,1),(221,1)}
       208:{3,5,7}:{(190,1),(191,1),(219,1),(220,1)}
       209:{1,2,5,6}:{(191,1),(192,1),(193,1),(198,1),(220,1),(223,1),(229,1)}
       210:{3,4,6,7}:{(194,1),(195,1),(199,1),(215,1),(218,1),(221,1),(222,1)}
       211:{3,4,5,7}:{(195,1),(196,1),(197,1),(200,1),(216,1),(219,1),(221,1),(222,1)}
       212:{3,6}:{(197,1),(198,1)}
       213:{1,5,7}:{(199,1),(221,1),(223,1)}
       214:{1,4,6}:{(200,1),(201,1),(222,1),(223,1)}
       215:{2,4,6,7}:{(202,1),(203,1),(210,1),(224,1),(225,1)}
       216:{2,4,5,7}:{(203,1),(204,1),(205,1),(211,1),(224,1),(225,1)}
       217:{2,3,6}:{(205,1),(206,1),(212,1),(225,1)}
       218:{4,6,7}:{(207,1),(226,1),(227,1)}
       219:{4,5,7}:{(208,1),(227,1)}
       220:{3,5,6}:{(208,1),(209,1),(212,1),(227,1)}
       221:{3,5,7}:{(210,1),(213,1),(224,1),(226,1),(228,1)}
       222:{3,4,6}:{(211,1),(212,1),(214,1),(225,1),(227,1),(228,1)}
       223:{1,5,6}:{(213,1),(214,1),(228,1)}
       224:{2,5,7}:{(215,1),(221,1),(229,1)}
       225:{2,4,6}:{(216,1),(217,1),(222,1),(229,1)}
       226:{4,5,7}:{(218,1),(221,1),(230,1)}
       227:{4,6}:{(219,1),(220,1)}
       228:{3,5,6}:{(221,1),(222,1),(223,1),(229,1),(230,1)}
       229:{2,5,6}:{(224,1),(225,1),(228,1)}
       230:{4,5,6}:{(226,1),(227,1),(228,1)}

1879 :   0:{1,2,4,5,6}:{(2,1),(3,1),(17,1),(18,1),(19,1),(42,1),(51,1),(77,1),(78,1),(81,1),(99,1),(103,1),(104,1)}
         1:{1,2,5,6,7}:{(4,1),(5,1),(62,1),(63,1),(89,1)}
         2:{1,2,4,5,7}:{(0,1),(5,1),(6,1),(24,1),(29,1),(30,1),(31,1),(62,1),(63,1)}
         3:{3,5,6}:{(0,1),(6,1),(7,1),(69,1),(91,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(12,1),(43,1),(96,1)}
         5:{1,2,4,6,7}:{(1,1),(2,1),(11,1),(12,1),(44,1),(45,1),(46,1),(81,1)}
         6:{3,5,7}:{(2,1),(3,1),(12,1),(13,1)}
         7:{3,4,6}:{(3,1),(13,1),(16,1),(17,1),(18,1),(52,1),(83,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(17,1),(19,1),(40,1),(52,1),(56,1),(73,1),(77,1),(84,1),(96,1),(99,1)}
         9:{2,3,5,6}:{(3,1),(15,1),(18,1),(19,1),(21,1),(52,1),(53,1),(76,1),(78,1),(94,1),(96,1),(103,1)}
        10:{2,3,4,6}:{(18,1),(20,1),(21,1),(22,1),(52,1),(53,1),(83,1),(98,1)}
        11:{4,6,7}:{(4,1),(24,1),(101,1)}
        12:{3,6,7}:{(5,1),(6,1),(91,1)}
        13:{3,4,7}:{(6,1),(7,1),(29,1),(30,1),(68,1)}
        14:{1,3,5,7}:{(6,1),(8,1),(26,1),(29,1),(31,1),(62,1),(68,1),(90,1)}
        15:{2,3,5,7}:{(6,1),(9,1),(27,1),(30,1),(31,1),(63,1),(68,1),(90,1)}
        16:{3,4,5}:{(7,1),(32,1),(33,1),(69,1),(102,1)}
        17:{1,4,6}:{(7,1),(8,1),(29,1),(32,1),(72,1),(101,1)}
        18:{2,4,6}:{(7,1),(9,1),(30,1),(33,1),(88,1),(101,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(31,1),(34,1),(37,1),(59,1),(70,1),(86,1)}
        20:{2,3,4,7}:{(10,1),(30,1),(35,1),(36,1),(68,1),(92,1)}
        21:{2,3,5}:{(10,1),(33,1),(37,1),(69,1),(102,1)}
        22:{1,2,4,6}:{(10,1),(36,1),(37,1),(38,1),(70,1),(72,1),(93,1)}
        23:{1,3,4,6}:{(17,1),(39,1),(40,1),(41,1),(52,1),(73,1),(83,1),(98,1)}
        24:{4,5,7}:{(11,1),(42,1),(43,1),(97,1),(104,1)}
        25:{3,4,6,7}:{(11,1),(12,1),(13,1),(43,1),(44,1),(45,1),(47,1),(80,1),(97,1),(98,1)}
        26:{1,3,6,7}:{(12,1),(14,1),(44,1),(46,1),(73,1),(80,1),(84,1)}
        27:{2,3,6,7}:{(12,1),(15,1),(45,1),(46,1),(53,1),(80,1),(94,1)}
        28:{3,4,5,7}:{(13,1),(16,1),(43,1),(47,1),(48,1),(49,1),(82,1),(97,1),(104,1)}
        29:{1,4,7}:{(13,1),(14,1),(17,1),(97,1)}
        30:{2,4,7}:{(13,1),(15,1),(18,1),(97,1)}
        31:{1,2,5,7}:{(14,1),(15,1),(19,1),(46,1),(50,1)}
        32:{1,4,5}:{(16,1),(17,1),(40,1),(99,1),(104,1)}
        33:{2,4,5}:{(16,1),(18,1),(21,1),(103,1),(104,1)}
        34:{1,2,4,6}:{(17,1),(18,1),(19,1),(50,1),(51,1),(52,1)}
        35:{2,3,5,7}:{(20,1),(21,1),(49,1),(53,1),(54,1),(82,1)}
        36:{1,2,4,7}:{(20,1),(22,1),(54,1),(55,1),(85,1)}
        37:{1,2,5}:{(21,1),(22,1),(56,1),(99,1)}
        38:{1,3,6}:{(22,1),(52,1),(55,1),(56,1)}
        39:{1,3,4,7}:{(23,1),(29,1),(57,1),(58,1),(68,1),(92,1)}
        40:{1,3,5}:{(23,1),(32,1),(59,1),(69,1),(102,1)}
        41:{1,2,4,6}:{(23,1),(58,1),(59,1),(60,1),(86,1),(88,1),(100,1)}
        42:{4,5,6}:{(24,1),(61,1),(101,1)}
        43:{3,5,7}:{(24,1),(25,1),(61,1),(62,1),(63,1),(102,1)}
        44:{1,4,6,7}:{(25,1),(26,1),(29,1),(62,1),(65,1),(93,1)}
        45:{2,4,6,7}:{(25,1),(27,1),(30,1),(63,1),(66,1),(100,1)}
        46:{1,2,6,7}:{(26,1),(27,1),(31,1),(70,1),(86,1)}
        47:{3,4,6}:{(28,1),(61,1),(65,1),(66,1),(91,1),(101,1)}
        48:{1,4,5,7}:{(28,1),(29,1),(32,1),(57,1),(62,1),(65,1)}
        49:{2,4,5,7}:{(28,1),(30,1),(33,1),(35,1),(63,1),(66,1)}
        50:{1,2,4,7}:{(29,1),(30,1),(31,1),(34,1),(68,1)}
        51:{1,2,4,5}:{(32,1),(33,1),(34,1),(37,1),(59,1),(69,1),(72,1),(88,1)}
        52:{3,6}:{(34,1),(68,1),(69,1)}
        53:{2,3,6}:{(35,1),(66,1),(70,1),(91,1)}
        54:{1,2,5,7}:{(35,1),(36,1),(37,1),(70,1),(71,1)}
        55:{1,3,7}:{(36,1),(38,1),(68,1)}
        56:{1,3,5}:{(37,1),(38,1),(69,1),(72,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(48,1),(73,1),(74,1),(82,1)}
        58:{1,2,4,7}:{(39,1),(41,1),(74,1),(75,1),(95,1)}
        59:{1,2,5}:{(40,1),(41,1),(76,1),(103,1)}
        60:{2,3,6}:{(41,1),(52,1),(75,1),(76,1)}
        61:{3,5,6}:{(42,1),(43,1),(47,1),(77,1),(78,1)}
        62:{1,5,7}:{(43,1),(44,1),(77,1),(99,1)}
        63:{2,5,7}:{(43,1),(45,1),(78,1),(103,1)}
        64:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(50,1),(79,1),(80,1),(81,1),(97,1)}
        65:{1,4,6}:{(47,1),(48,1),(73,1),(77,1)}
        66:{2,4,6}:{(47,1),(49,1),(53,1),(78,1)}
        67:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(51,1),(54,1),(74,1),(79,1),(81,1),(82,1),(85,1),(95,1),(97,1),(99,1),(103,1),(104,1)}
        68:{3,7}:{(50,1),(52,1)}
        69:{3,5}:{(51,1),(52,1),(83,1)}
        70:{1,2,6}:{(53,1),(54,1),(84,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(56,1),(82,1),(84,1),(85,1),(99,1)}
        72:{1,4}:{(56,1),(83,1)}
        73:{1,3,6}:{(57,1),(65,1),(86,1),(91,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(86,1),(87,1)}
        75:{2,3,7}:{(58,1),(60,1),(68,1)}
        76:{2,3,5}:{(59,1),(60,1),(69,1),(88,1)}
        77:{1,5,6}:{(61,1),(62,1),(65,1)}
        78:{2,5,6}:{(61,1),(63,1),(66,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(64,1),(89,1),(90,1)}
        80:{3,6,7}:{(64,1),(68,1),(90,1),(91,1)}
        81:{1,2,4,6}:{(65,1),(66,1),(67,1),(70,1),(86,1),(89,1),(91,1),(93,1),(100,1),(101,1)}
        82:{3,5,7}:{(67,1),(68,1),(69,1),(91,1),(92,1),(102,1)}
        83:{3,4}:{(69,1),(72,1),(88,1)}
        84:{1,3,6}:{(70,1),(71,1),(91,1),(93,1)}
        85:{1,4,7}:{(71,1),(72,1),(92,1),(93,1)}
        86:{1,2,6}:{(73,1),(74,1),(94,1)}
        87:{2,3,5,7}:{(74,1),(75,1),(76,1),(82,1),(94,1),(95,1),(103,1)}
        88:{2,4}:{(76,1),(83,1)}
        89:{1,2,5,6}:{(77,1),(78,1),(79,1),(81,1),(96,1),(99,1),(103,1)}
        90:{3,5,7}:{(79,1),(80,1),(96,1),(97,1)}
        91:{3,6}:{(81,1),(82,1)}
        92:{3,4,7}:{(82,1),(83,1),(85,1),(95,1),(97,1),(98,1)}
        93:{1,4,6}:{(84,1),(85,1),(98,1),(99,1)}
        94:{2,3,6}:{(86,1),(87,1),(91,1),(100,1)}
        95:{2,4,7}:{(87,1),(88,1),(92,1),(100,1)}
        96:{3,5,6}:{(89,1),(90,1),(91,1),(101,1),(102,1)}
        97:{4,7}:{(90,1),(101,1)}
        98:{3,4,6}:{(91,1),(92,1),(93,1),(100,1),(101,1),(102,1)}
        99:{1,5}:{(93,1),(102,1)}
       100:{2,4,6}:{(94,1),(95,1),(98,1),(103,1)}
       101:{4,6}:{(96,1),(97,1),(104,1)}
       102:{3,5}:{(98,1),(99,1),(103,1),(104,1)}
       103:{2,5}:{(100,1),(102,1)}
       104:{4,5}:{(101,1),(102,1)}

1880 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(8,1),(22,1),(25,1),(28,1)}
         2:{1,2,3,5}:{(0,1),(7,1),(8,1)}
         3:{2,3,4,5}:{(7,1),(9,1),(24,1)}
         4:{1,2,3,4}:{(10,1)}
         5:{1,2,3,5}:{(1,1),(12,1)}
         6:{1,2,3,4,7}:{(1,1),(14,1),(18,1),(38,1),(44,1)}
         7:{1,2,4,5}:{(2,1),(3,1),(16,1),(17,1)}
         8:{1,2,3,6}:{(2,1),(17,1),(18,1)}
         9:{2,3,4,6}:{(3,1),(17,1),(19,1),(20,1),(41,1)}
        10:{1,2,3,5}:{(4,1),(21,1),(22,1)}
        11:{1,3,4,5}:{(21,1),(23,1),(24,1)}
        12:{1,2,4,5}:{(5,1),(24,1),(25,1)}
        13:{1,2,3,5,6}:{(5,1),(8,1),(22,1),(25,1),(27,1),(28,1),(33,1),(55,1),(58,1),(63,1)}
        14:{1,2,3,5,7}:{(5,1),(6,1),(26,1),(28,1)}
        15:{3,4,5,6}:{(29,1),(30,1),(31,1),(58,1),(91,1)}
        16:{1,3,4,5}:{(7,1),(24,1),(32,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(9,1),(32,1),(33,1),(34,1)}
        18:{1,2,3,7}:{(8,1),(34,1)}
        19:{2,3,5,6}:{(9,1),(30,1),(33,1),(35,1),(58,1)}
        20:{2,3,4,7}:{(9,1),(34,1),(35,1),(59,1)}
        21:{1,2,4,5}:{(10,1),(11,1),(36,1),(37,1)}
        22:{1,2,3,6}:{(10,1),(37,1),(38,1)}
        23:{1,3,4,6}:{(11,1),(37,1),(39,1),(40,1),(41,1)}
        24:{3,4,5}:{(12,1),(41,1)}
        25:{1,2,4,6}:{(12,1),(13,1),(41,1),(44,1)}
        26:{1,2,4,5,7}:{(12,1),(14,1),(42,1),(44,1),(45,1),(79,1)}
        27:{1,2,3,5,7}:{(13,1),(18,1),(38,1),(44,1),(46,1),(52,1),(72,1),(75,1),(79,1)}
        28:{1,2,3,6}:{(14,1),(45,1)}
        29:{1,4,5,6}:{(15,1),(39,1),(47,1)}
        30:{2,4,5,6}:{(15,1),(19,1),(48,1)}
        31:{3,4,5,7}:{(15,1),(47,1),(48,1),(49,1),(75,1),(98,1)}
        32:{1,3,4,6}:{(16,1),(17,1),(41,1),(50,1),(51,1)}
        33:{1,2,5,6}:{(17,1),(19,1),(50,1),(52,1)}
        34:{1,2,4,7}:{(17,1),(18,1),(20,1),(51,1),(52,1)}
        35:{2,3,5,7}:{(19,1),(20,1),(48,1),(52,1),(53,1),(75,1)}
        36:{2,3,4,5}:{(21,1),(24,1),(54,1)}
        37:{1,2,4,6}:{(21,1),(22,1),(23,1),(54,1),(55,1),(56,1)}
        38:{1,2,3,7}:{(22,1),(56,1)}
        39:{1,3,5,6}:{(23,1),(29,1),(55,1),(57,1),(58,1)}
        40:{1,3,4,7}:{(23,1),(56,1),(57,1),(59,1)}
        41:{3,4,6}:{(24,1),(25,1),(58,1),(59,1)}
        42:{3,4,5,7}:{(24,1),(26,1),(59,1),(60,1),(90,1)}
        43:{1,2,4,5,6}:{(25,1),(29,1),(30,1),(33,1),(55,1),(58,1),(61,1),(63,1),(67,1),(85,1),(91,1)}
        44:{1,2,4,7}:{(25,1),(27,1),(59,1)}
        45:{1,2,4,6}:{(26,1),(28,1),(60,1),(63,1)}
        46:{1,2,3,6,7}:{(27,1),(28,1),(62,1),(69,1),(87,1),(89,1)}
        47:{1,4,5,7}:{(29,1),(31,1),(57,1),(64,1)}
        48:{2,4,5,7}:{(30,1),(31,1),(35,1),(65,1)}
        49:{3,4,6,7}:{(31,1),(64,1),(65,1),(66,1),(89,1),(102,1)}
        50:{1,3,5,6}:{(32,1),(33,1),(58,1),(67,1),(68,1)}
        51:{1,3,4,7}:{(32,1),(34,1),(59,1),(68,1)}
        52:{1,2,5,7}:{(33,1),(34,1),(35,1),(68,1),(69,1)}
        53:{2,3,6,7}:{(35,1),(65,1),(69,1),(89,1)}
        54:{2,3,4,6}:{(36,1),(37,1),(41,1),(70,1),(71,1)}
        55:{1,2,5,6}:{(37,1),(39,1),(70,1),(72,1)}
        56:{1,2,4,7}:{(37,1),(38,1),(40,1),(71,1),(72,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(47,1),(72,1),(73,1),(75,1)}
        58:{3,5,6}:{(41,1),(43,1),(75,1)}
        59:{3,4,7}:{(41,1),(44,1),(75,1)}
        60:{3,4,6}:{(42,1),(45,1),(77,1)}
        61:{1,2,4,5,7}:{(43,1),(44,1),(47,1),(48,1),(52,1),(72,1),(75,1),(78,1),(79,1),(83,1),(94,1),(98,1)}
        62:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(76,1),(79,1)}
        63:{1,2,5,6}:{(45,1),(77,1),(79,1)}
        64:{1,4,6,7}:{(47,1),(49,1),(73,1),(80,1)}
        65:{2,4,6,7}:{(48,1),(49,1),(53,1),(81,1)}
        66:{3,5,6,7}:{(49,1),(80,1),(81,1),(82,1)}
        67:{1,4,5,6}:{(50,1),(74,1),(83,1)}
        68:{1,3,5,7}:{(50,1),(51,1),(52,1),(75,1),(83,1),(84,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(84,1)}
        70:{2,3,5,6}:{(54,1),(55,1),(58,1),(85,1),(86,1)}
        71:{2,3,4,7}:{(54,1),(56,1),(59,1),(86,1)}
        72:{1,2,5,7}:{(55,1),(56,1),(57,1),(86,1),(87,1)}
        73:{1,3,6,7}:{(57,1),(64,1),(87,1),(89,1)}
        74:{3,4,5,6}:{(58,1),(67,1),(85,1),(88,1),(91,1)}
        75:{3,5,7}:{(58,1),(59,1),(61,1),(89,1)}
        76:{3,4,6,7}:{(59,1),(60,1),(62,1),(89,1),(90,1),(102,1)}
        77:{3,5,6}:{(60,1),(63,1),(90,1),(91,1)}
        78:{1,2,4,6,7}:{(61,1),(64,1),(65,1),(69,1),(87,1),(89,1),(92,1),(93,1),(100,1),(102,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(90,1)}
        80:{1,5,6,7}:{(64,1),(66,1)}
        81:{2,5,6,7}:{(65,1),(66,1)}
        82:{4,5,6,7}:{(66,1),(102,1)}
        83:{1,4,5,7}:{(67,1),(68,1),(88,1),(93,1)}
        84:{1,3,6,7}:{(68,1),(69,1),(89,1),(93,1)}
        85:{2,4,5,6}:{(70,1),(74,1),(94,1)}
        86:{2,3,5,7}:{(70,1),(71,1),(72,1),(75,1),(94,1),(95,1)}
        87:{1,2,6,7}:{(72,1),(73,1),(95,1)}
        88:{3,4,5,7}:{(74,1),(75,1),(83,1),(94,1),(96,1),(98,1)}
        89:{3,6,7}:{(75,1),(78,1)}
        90:{3,5,7}:{(76,1),(77,1),(79,1),(98,1)}
        91:{4,5,6}:{(77,1),(98,1)}
        92:{1,2,5,6,7}:{(78,1),(79,1),(80,1),(81,1),(97,1),(99,1),(103,1)}
        93:{1,4,6,7}:{(83,1),(84,1),(96,1),(99,1)}
        94:{2,4,5,7}:{(85,1),(86,1),(88,1),(100,1)}
        95:{2,3,6,7}:{(86,1),(87,1),(89,1),(100,1)}
        96:{3,4,6,7}:{(88,1),(89,1),(93,1),(100,1),(101,1),(102,1)}
        97:{3,5,6,7}:{(89,1),(90,1),(92,1),(102,1)}
        98:{4,5,7}:{(90,1),(91,1),(102,1)}
        99:{1,5,6,7}:{(93,1),(101,1)}
       100:{2,4,6,7}:{(94,1),(95,1),(96,1),(103,1)}
       101:{3,5,6,7}:{(96,1),(99,1),(103,1),(104,1)}
       102:{4,6,7}:{(97,1),(98,1)}
       103:{2,5,6,7}:{(100,1),(101,1)}
       104:{4,5,6,7}:{(101,1),(102,1)}

1881 :   0:{1,3,4,5,7}:{(1,1),(2,1),(17,1),(54,1),(114,1),(128,1),(129,1),(169,1),(177,1),(179,1)}
         1:{1,3,4,6}:{(0,1),(6,1),(8,1),(97,1),(189,1),(194,1),(195,1)}
         2:{1,2,4,5,7}:{(0,1),(8,1),(9,1),(34,1),(39,1),(93,1),(98,1),(99,1)}
         3:{1,4,5,6,7}:{(10,1),(43,1),(199,1)}
         4:{2,3,4,5,7}:{(11,1),(12,1),(21,1),(50,1),(69,1),(130,1),(167,1),(168,1),(177,1),(200,1)}
         5:{3,4,5,6}:{(14,1),(15,1),(16,1),(65,1),(168,1),(201,1)}
         6:{1,3,5,6}:{(1,1),(15,1),(17,1),(18,1),(65,1),(114,1),(196,1)}
         7:{1,3,4,6,7}:{(1,1),(17,1),(19,1),(43,1),(102,1),(128,1),(159,1)}
         8:{1,2,4,6}:{(1,1),(2,1),(18,1),(20,1),(67,1)}
         9:{2,3,5,7}:{(2,1),(20,1),(21,1),(69,1),(177,1)}
        10:{3,5,6,7}:{(3,1),(22,1),(24,1),(206,1)}
        11:{2,3,4,6}:{(4,1),(27,1),(29,1),(141,1),(158,1),(194,1),(207,1)}
        12:{1,2,4,5,7}:{(4,1),(29,1),(30,1),(34,1),(80,1),(93,1),(142,1),(143,1)}
        13:{1,2,3,5,7}:{(9,1),(30,1),(33,1),(34,1),(93,1)}
        14:{3,4,5,7}:{(5,1),(22,1),(36,1),(37,1),(96,1)}
        15:{1,4,5,6}:{(5,1),(6,1),(36,1),(143,1),(189,1)}
        16:{2,4,5,6}:{(5,1),(35,1),(37,1),(187,1),(207,1)}
        17:{1,3,5,7}:{(6,1),(7,1),(36,1),(39,1),(96,1),(181,1)}
        18:{1,2,5,6}:{(6,1),(8,1),(39,1),(40,1),(93,1)}
        19:{1,2,4,6,7}:{(7,1),(8,1),(39,1),(41,1),(98,1)}
        20:{2,3,6}:{(8,1),(9,1),(194,1)}
        21:{2,3,4,7}:{(9,1),(34,1),(42,1),(98,1),(151,1)}
        22:{3,4,6,7}:{(10,1),(14,1),(43,1),(44,1),(102,1),(201,1)}
        23:{1,3,5,6,7}:{(10,1),(17,1),(43,1),(45,1),(102,1),(170,1)}
        24:{2,5,6,7}:{(10,1),(44,1),(209,1)}
        25:{2,4,5,6,7}:{(46,1),(105,1),(161,1)}
        26:{3,4,5,6}:{(47,1),(48,1),(49,1),(110,1),(129,1),(180,1)}
        27:{2,3,5,6}:{(11,1),(49,1),(50,1),(51,1),(69,1),(110,1),(209,1)}
        28:{2,3,4,6,7}:{(11,1),(50,1),(52,1),(105,1),(163,1),(167,1),(197,1)}
        29:{1,2,4,6}:{(11,1),(12,1),(51,1),(53,1),(112,1)}
        30:{1,3,5,7}:{(12,1),(53,1),(54,1),(114,1),(177,1)}
        31:{2,3,4,5}:{(55,1),(56,1),(121,1),(129,1),(176,1)}
        32:{1,3,4,5}:{(57,1),(58,1),(118,1),(168,1),(174,1)}
        33:{1,2,3,6}:{(13,1),(20,1),(53,1),(61,1)}
        34:{1,2,4,7}:{(13,1),(21,1),(54,1),(61,1)}
        35:{2,3,5,6}:{(16,1),(55,1),(62,1),(63,1),(65,1),(176,1),(204,1)}
        36:{1,4,5,7}:{(14,1),(15,1),(17,1),(43,1)}
        37:{2,4,5,7}:{(14,1),(16,1),(44,1),(62,1)}
        38:{1,2,4,5,6}:{(15,1),(16,1),(18,1),(63,1),(64,1),(65,1),(67,1),(124,1),(127,1),(161,1),(178,1),(196,1)}
        39:{1,2,5,7}:{(17,1),(18,1),(19,1),(66,1)}
        40:{2,3,5,6}:{(18,1),(20,1),(65,1),(66,1),(67,1),(69,1)}
        41:{2,3,6,7}:{(19,1),(20,1),(66,1),(102,1)}
        42:{2,3,4,6}:{(20,1),(21,1),(61,1),(67,1),(69,1),(122,1)}
        43:{1,4,6,7}:{(22,1),(23,1),(36,1),(189,1)}
        44:{2,4,6,7}:{(22,1),(24,1),(37,1),(70,1),(207,1)}
        45:{1,2,5,6,7}:{(23,1),(24,1),(39,1),(71,1),(72,1),(154,1),(181,1)}
        46:{3,5,6,7}:{(25,1),(73,1),(74,1),(182,1)}
        47:{3,4,5,7}:{(26,1),(73,1),(77,1),(78,1),(140,1)}
        48:{1,4,5,6}:{(26,1),(76,1),(77,1),(156,1),(195,1)}
        49:{2,4,5,6}:{(26,1),(27,1),(78,1),(99,1),(158,1)}
        50:{2,3,5,7}:{(27,1),(28,1),(78,1),(80,1),(140,1),(205,1)}
        51:{1,2,5,6}:{(27,1),(29,1),(80,1),(81,1),(93,1)}
        52:{1,2,4,6,7}:{(28,1),(29,1),(80,1),(82,1),(142,1)}
        53:{1,3,6}:{(29,1),(30,1),(194,1)}
        54:{1,3,4,7}:{(30,1),(34,1),(83,1),(142,1),(151,1)}
        55:{2,3,4,6}:{(31,1),(35,1),(84,1),(85,1),(97,1)}
        56:{1,2,4,5}:{(31,1),(85,1),(86,1),(146,1),(156,1),(191,1)}
        57:{1,3,4,6}:{(32,1),(76,1),(87,1),(88,1),(141,1)}
        58:{1,2,4,5}:{(32,1),(88,1),(89,1),(146,1),(187,1),(191,1)}
        59:{1,2,3,5,6}:{(33,1),(40,1),(81,1),(90,1),(91,1),(93,1),(95,1),(139,1),(145,1),(152,1),(154,1),(191,1),(194,1),(208,1)}
        60:{1,2,3,6,7}:{(33,1),(41,1),(82,1),(90,1),(92,1),(132,1),(183,1),(194,1),(208,1)}
        61:{1,2,4,6}:{(33,1),(34,1),(42,1),(83,1),(93,1)}
        62:{2,3,5,7}:{(35,1),(37,1),(70,1),(84,1),(94,1),(96,1)}
        63:{1,2,5,6}:{(35,1),(85,1),(94,1),(95,1),(191,1),(208,1)}
        64:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(39,1),(71,1),(94,1),(96,1),(98,1),(134,1),(155,1),(181,1)}
        65:{3,5,6}:{(38,1),(96,1),(97,1),(152,1),(194,1)}
        66:{2,3,5,7}:{(39,1),(40,1),(41,1),(96,1),(98,1)}
        67:{2,4,6}:{(40,1),(97,1),(98,1),(99,1)}
        68:{2,3,4,6,7}:{(41,1),(42,1),(92,1),(98,1),(100,1),(133,1),(151,1),(158,1),(194,1)}
        69:{2,3,5}:{(42,1),(93,1),(99,1),(152,1)}
        70:{2,3,6,7}:{(44,1),(62,1),(101,1),(102,1),(204,1)}
        71:{1,2,4,6,7}:{(43,1),(44,1),(45,1),(64,1),(101,1),(102,1),(103,1),(159,1),(178,1)}
        72:{2,3,5,6,7}:{(45,1),(66,1),(102,1),(103,1),(131,1),(160,1)}
        73:{3,4,6,7}:{(46,1),(47,1),(104,1),(105,1),(163,1),(180,1)}
        74:{1,5,6,7}:{(46,1),(104,1),(196,1)}
        75:{2,3,5,6,7}:{(46,1),(50,1),(105,1),(106,1),(131,1),(163,1)}
        76:{1,3,5,6}:{(48,1),(57,1),(107,1),(108,1),(110,1),(174,1),(203,1)}
        77:{1,4,5,7}:{(47,1),(48,1),(104,1),(107,1)}
        78:{2,4,5,7}:{(47,1),(49,1),(50,1),(105,1)}
        79:{1,2,4,5,6}:{(48,1),(49,1),(51,1),(108,1),(109,1),(110,1),(112,1),(124,1),(166,1),(178,1),(199,1),(209,1)}
        80:{1,2,5,7}:{(50,1),(51,1),(52,1),(111,1)}
        81:{1,3,5,6}:{(51,1),(53,1),(110,1),(111,1),(112,1),(114,1)}
        82:{1,3,6,7}:{(52,1),(53,1),(111,1),(163,1)}
        83:{1,3,4,6}:{(53,1),(54,1),(61,1),(112,1),(114,1),(122,1)}
        84:{2,3,4,7}:{(55,1),(62,1),(116,1),(128,1)}
        85:{1,2,4,6}:{(55,1),(56,1),(63,1),(116,1),(117,1),(127,1)}
        86:{1,3,5}:{(56,1),(117,1),(118,1)}
        87:{1,3,4,7}:{(57,1),(107,1),(119,1),(167,1)}
        88:{1,2,4,6}:{(57,1),(58,1),(108,1),(119,1),(120,1),(166,1)}
        89:{2,3,5}:{(58,1),(120,1),(121,1)}
        90:{1,2,3,5,7}:{(59,1),(60,1),(66,1),(111,1),(123,1),(125,1),(126,1),(165,1),(171,1),(177,1),(202,1)}
        91:{1,2,4,6}:{(59,1),(67,1),(112,1),(122,1),(123,1),(124,1),(127,1),(166,1)}
        92:{1,2,4,6,7}:{(60,1),(61,1),(68,1),(113,1),(123,1),(125,1),(159,1),(178,1),(197,1)}
        93:{1,2,5}:{(61,1),(69,1),(114,1)}
        94:{1,2,5,7}:{(62,1),(63,1),(101,1),(116,1),(126,1)}
        95:{1,3,5,6}:{(63,1),(65,1),(117,1),(126,1),(127,1),(174,1),(196,1),(203,1)}
        96:{3,5,7}:{(64,1),(65,1),(102,1),(128,1)}
        97:{3,4,6}:{(65,1),(67,1),(127,1),(128,1),(129,1)}
        98:{2,4,7}:{(66,1),(67,1),(128,1)}
        99:{2,4,5}:{(67,1),(69,1),(129,1)}
       100:{2,3,5,7}:{(68,1),(69,1),(125,1),(130,1),(131,1),(160,1),(177,1)}
       101:{1,2,6,7}:{(70,1),(94,1),(132,1),(208,1)}
       102:{3,6,7}:{(71,1),(96,1),(194,1)}
       103:{2,4,6,7}:{(72,1),(98,1),(133,1),(134,1),(158,1)}
       104:{1,4,6,7}:{(73,1),(74,1),(77,1),(135,1),(195,1)}
       105:{2,4,6,7}:{(73,1),(75,1),(78,1),(158,1)}
       106:{1,2,5,6,7}:{(74,1),(75,1),(80,1),(136,1),(137,1),(154,1),(205,1)}
       107:{1,3,5,7}:{(76,1),(77,1),(87,1),(135,1),(138,1),(140,1)}
       108:{1,2,5,6}:{(76,1),(88,1),(138,1),(139,1),(191,1),(208,1)}
       109:{1,2,4,5,7}:{(77,1),(78,1),(79,1),(80,1),(136,1),(138,1),(140,1),(142,1),(185,1),(186,1),(205,1)}
       110:{3,5,6}:{(79,1),(140,1),(141,1),(152,1),(194,1)}
       111:{1,3,5,7}:{(80,1),(81,1),(82,1),(140,1),(142,1)}
       112:{1,4,6}:{(81,1),(141,1),(142,1),(143,1)}
       113:{1,3,4,6,7}:{(82,1),(83,1),(92,1),(142,1),(144,1),(151,1),(184,1),(189,1),(194,1)}
       114:{1,3,5}:{(83,1),(93,1),(143,1),(152,1)}
       115:{1,2,3,5}:{(86,1),(89,1),(145,1),(146,1),(191,1)}
       116:{1,2,4,7}:{(84,1),(85,1),(94,1),(147,1),(155,1)}
       117:{1,3,6}:{(85,1),(86,1),(147,1)}
       118:{1,3,4}:{(86,1),(146,1)}
       119:{1,2,4,7}:{(87,1),(88,1),(138,1),(149,1),(186,1)}
       120:{2,3,6}:{(88,1),(89,1),(149,1)}
       121:{2,3,4}:{(89,1),(146,1)}
       122:{3,4,6}:{(91,1),(151,1),(152,1),(194,1)}
       123:{1,2,4,7}:{(90,1),(91,1),(98,1),(142,1),(151,1),(155,1),(186,1)}
       124:{1,2,4,5}:{(91,1),(93,1),(99,1),(143,1),(152,1),(156,1),(187,1),(191,1)}
       125:{1,2,5,7}:{(92,1),(93,1),(100,1),(144,1),(154,1),(181,1),(205,1)}
       126:{1,3,5,7}:{(94,1),(95,1),(96,1),(132,1),(147,1),(155,1),(181,1)}
       127:{1,4,6}:{(95,1),(97,1),(155,1),(156,1)}
       128:{3,4,7}:{(96,1),(97,1),(98,1),(155,1)}
       129:{3,4,5}:{(97,1),(99,1),(152,1),(156,1)}
       130:{2,4,5,7}:{(98,1),(99,1),(100,1),(157,1),(158,1)}
       131:{2,3,5,6}:{(100,1),(154,1),(158,1),(182,1),(194,1)}
       132:{1,3,6,7}:{(101,1),(102,1),(126,1),(159,1),(203,1)}
       133:{3,4,6,7}:{(102,1),(103,1),(128,1),(159,1),(160,1),(180,1)}
       134:{2,4,5,7}:{(103,1),(160,1),(161,1)}
       135:{1,3,6,7}:{(104,1),(107,1),(162,1),(163,1),(203,1)}
       136:{1,2,4,6,7}:{(104,1),(105,1),(106,1),(109,1),(162,1),(163,1),(164,1),(178,1),(197,1)}
       137:{1,3,5,6,7}:{(106,1),(111,1),(163,1),(164,1),(170,1),(198,1)}
       138:{1,2,5,7}:{(107,1),(108,1),(119,1),(162,1),(165,1)}
       139:{2,3,5,6}:{(108,1),(110,1),(120,1),(165,1),(166,1),(176,1),(204,1),(209,1)}
       140:{3,5,7}:{(109,1),(110,1),(163,1),(167,1)}
       141:{3,4,6}:{(110,1),(112,1),(166,1),(167,1),(168,1)}
       142:{1,4,7}:{(111,1),(112,1),(167,1)}
       143:{1,4,5}:{(112,1),(114,1),(168,1)}
       144:{1,3,5,7}:{(113,1),(114,1),(125,1),(169,1),(170,1),(177,1),(198,1)}
       145:{1,2,3,6}:{(115,1),(117,1),(120,1),(171,1),(172,1)}
       146:{1,2,4}:{(115,1),(118,1),(121,1)}
       147:{1,3,7}:{(116,1),(117,1)}
       148:{1,3,4,6}:{(117,1),(118,1),(122,1),(127,1),(172,1),(173,1),(174,1),(203,1)}
       149:{2,3,7}:{(119,1),(120,1)}
       150:{2,3,4,6}:{(120,1),(121,1),(122,1),(166,1),(172,1),(175,1),(176,1),(204,1)}
       151:{3,4,7}:{(122,1),(123,1),(177,1)}
       152:{3,5}:{(122,1),(124,1)}
       153:{1,2,4,5,7}:{(123,1),(124,1),(125,1),(130,1),(169,1),(177,1),(178,1),(179,1),(200,1),(202,1)}
       154:{1,2,5,6}:{(125,1),(131,1),(170,1),(178,1),(196,1),(209,1)}
       155:{1,4,7}:{(126,1),(127,1),(128,1)}
       156:{1,4,5}:{(127,1),(129,1),(174,1)}
       157:{3,4,5,7}:{(128,1),(129,1),(130,1),(160,1),(177,1),(179,1),(180,1)}
       158:{2,4,6}:{(130,1),(131,1),(180,1)}
       159:{1,4,6,7}:{(132,1),(133,1),(155,1),(181,1),(195,1)}
       160:{3,5,7}:{(133,1),(134,1),(181,1),(182,1)}
       161:{2,4,5,6}:{(134,1),(158,1),(182,1)}
       162:{1,2,6,7}:{(135,1),(138,1),(183,1),(208,1)}
       163:{3,6,7}:{(136,1),(140,1),(194,1)}
       164:{1,4,6,7}:{(137,1),(142,1),(184,1),(185,1),(189,1)}
       165:{2,3,5,7}:{(138,1),(139,1),(140,1),(149,1),(183,1),(186,1),(205,1)}
       166:{2,4,6}:{(139,1),(141,1),(186,1),(187,1)}
       167:{3,4,7}:{(140,1),(141,1),(142,1),(186,1)}
       168:{3,4,5}:{(141,1),(143,1),(152,1),(187,1)}
       169:{1,4,5,7}:{(142,1),(143,1),(144,1),(188,1),(189,1)}
       170:{1,3,5,6}:{(144,1),(154,1),(189,1),(194,1),(206,1)}
       171:{1,2,3,7}:{(145,1),(147,1),(149,1),(190,1)}
       172:{1,2,4,6}:{(145,1),(146,1),(148,1),(150,1),(190,1),(191,1),(208,1)}
       173:{1,3,4,7}:{(147,1),(148,1),(151,1),(155,1),(190,1),(192,1)}
       174:{1,3,5}:{(148,1),(152,1),(156,1),(191,1)}
       175:{2,3,4,7}:{(149,1),(150,1),(151,1),(186,1),(190,1),(193,1)}
       176:{2,3,5}:{(150,1),(152,1),(187,1),(191,1)}
       177:{3,5,7}:{(151,1),(152,1),(153,1),(194,1)}
       178:{1,2,4,6}:{(153,1),(154,1),(158,1),(189,1),(194,1),(195,1),(207,1),(208,1)}
       179:{1,4,5,7}:{(155,1),(156,1),(157,1),(181,1),(192,1),(195,1)}
       180:{3,4,6}:{(157,1),(158,1),(182,1),(194,1),(195,1)}
       181:{1,5,7}:{(159,1),(160,1),(196,1)}
       182:{3,5,6}:{(160,1),(161,1),(180,1),(196,1)}
       183:{2,3,6,7}:{(162,1),(163,1),(165,1),(197,1),(204,1)}
       184:{3,4,6,7}:{(163,1),(164,1),(167,1),(197,1),(198,1),(201,1)}
       185:{1,4,5,7}:{(164,1),(198,1),(199,1)}
       186:{2,4,7}:{(165,1),(166,1),(167,1)}
       187:{2,4,5}:{(166,1),(168,1),(176,1)}
       188:{3,4,5,7}:{(167,1),(168,1),(169,1),(177,1),(198,1),(200,1),(201,1)}
       189:{1,4,6}:{(169,1),(170,1),(201,1)}
       190:{1,2,4,7}:{(171,1),(172,1),(173,1),(175,1),(202,1)}
       191:{1,2,5}:{(172,1),(174,1),(176,1)}
       192:{1,3,5,7}:{(173,1),(174,1),(177,1),(179,1),(202,1),(203,1)}
       193:{2,3,5,7}:{(175,1),(176,1),(177,1),(200,1),(202,1),(204,1)}
       194:{3,6}:{(177,1),(178,1)}
       195:{1,4,6}:{(179,1),(180,1),(196,1),(203,1)}
       196:{1,5,6}:{(181,1),(182,1),(195,1)}
       197:{2,4,6,7}:{(183,1),(184,1),(186,1),(205,1),(207,1)}
       198:{3,5,7}:{(184,1),(185,1),(205,1),(206,1)}
       199:{1,4,5,6}:{(185,1),(189,1),(206,1)}
       200:{2,4,5,7}:{(186,1),(187,1),(188,1),(193,1),(205,1),(207,1)}
       201:{3,4,6}:{(188,1),(189,1),(194,1),(206,1),(207,1)}
       202:{1,2,5,7}:{(190,1),(191,1),(192,1),(193,1),(208,1)}
       203:{1,3,6}:{(192,1),(194,1),(195,1),(208,1)}
       204:{2,3,6}:{(193,1),(194,1),(207,1),(208,1)}
       205:{2,5,7}:{(197,1),(198,1),(209,1)}
       206:{3,5,6}:{(198,1),(199,1),(201,1),(209,1)}
       207:{2,4,6}:{(200,1),(201,1),(204,1),(209,1)}
       208:{1,2,6}:{(202,1),(203,1),(204,1)}
       209:{2,5,6}:{(205,1),(206,1),(207,1)}

1882 :   0:{4,5,6,7}:{(4,1),(76,1),(115,1)}
         1:{3,4,5,6}:{(5,1),(6,1),(7,1),(40,1),(85,1),(115,1),(119,1)}
         2:{1,3,4,5}:{(9,1),(12,1),(51,1),(85,1),(93,1)}
         3:{2,3,4,5}:{(10,1),(13,1),(50,1),(85,1),(92,1)}
         4:{3,5,6,7}:{(0,1),(14,1),(15,1),(16,1),(128,1)}
         5:{3,4,5,7}:{(1,1),(14,1),(17,1),(18,1),(58,1),(97,1)}
         6:{1,4,5,6}:{(1,1),(17,1),(19,1),(105,1),(132,1)}
         7:{2,4,5,6}:{(1,1),(18,1),(20,1),(104,1),(131,1)}
         8:{1,2,3,6,7}:{(24,1),(25,1),(94,1),(95,1),(109,1),(134,1)}
         9:{1,3,4,6}:{(2,1),(19,1),(22,1),(26,1),(62,1)}
        10:{2,3,4,6}:{(3,1),(20,1),(23,1),(27,1),(62,1)}
        11:{1,2,3,5,6}:{(24,1),(28,1),(60,1),(61,1),(67,1),(68,1),(71,1),(109,1),(110,1),(134,1)}
        12:{1,2,4,5}:{(2,1),(26,1),(29,1),(72,1),(104,1),(110,1)}
        13:{1,2,4,5}:{(3,1),(27,1),(30,1),(72,1),(105,1),(110,1)}
        14:{3,4,6,7}:{(4,1),(5,1),(31,1),(32,1),(75,1),(76,1),(119,1)}
        15:{1,5,6,7}:{(4,1),(31,1),(138,1)}
        16:{2,5,6,7}:{(4,1),(32,1),(137,1)}
        17:{1,4,5,7}:{(5,1),(6,1),(31,1),(34,1)}
        18:{2,4,5,7}:{(5,1),(7,1),(32,1),(35,1)}
        19:{1,3,5,6}:{(6,1),(9,1),(34,1),(38,1),(40,1),(93,1),(124,1)}
        20:{2,3,5,6}:{(7,1),(10,1),(35,1),(39,1),(40,1),(92,1),(123,1)}
        21:{1,2,4,5,6}:{(6,1),(7,1),(36,1),(38,1),(39,1),(40,1),(48,1),(83,1),(84,1),(90,1),(115,1),(121,1),(137,1),(138,1),(140,1)}
        22:{1,3,4,7}:{(9,1),(34,1),(41,1),(79,1)}
        23:{2,3,4,7}:{(10,1),(35,1),(42,1),(79,1)}
        24:{1,2,3,5,7}:{(8,1),(11,1),(43,1),(44,1),(77,1),(78,1),(86,1),(89,1),(122,1)}
        25:{1,2,4,6,7}:{(8,1),(37,1),(43,1),(44,1),(90,1),(112,1),(113,1)}
        26:{1,2,4,6}:{(9,1),(12,1),(38,1),(41,1),(45,1),(83,1)}
        27:{1,2,4,6}:{(10,1),(13,1),(39,1),(42,1),(46,1),(84,1)}
        28:{1,2,4,6}:{(11,1),(43,1),(47,1),(48,1),(83,1),(84,1)}
        29:{2,3,5}:{(12,1),(45,1),(50,1)}
        30:{1,3,5}:{(13,1),(46,1),(51,1)}
        31:{1,4,6,7}:{(14,1),(15,1),(17,1),(52,1),(132,1)}
        32:{2,4,6,7}:{(14,1),(16,1),(18,1),(53,1),(131,1)}
        33:{1,2,5,6,7}:{(15,1),(16,1),(54,1),(55,1),(67,1),(126,1),(127,1),(142,1)}
        34:{1,3,5,7}:{(17,1),(19,1),(22,1),(52,1),(56,1),(58,1)}
        35:{2,3,5,7}:{(18,1),(20,1),(23,1),(53,1),(57,1),(58,1)}
        36:{1,2,4,5,7}:{(17,1),(18,1),(21,1),(54,1),(56,1),(57,1),(58,1),(97,1),(99,1),(100,1),(126,1),(127,1)}
        37:{3,4,6,7}:{(25,1),(59,1),(65,1),(102,1),(109,1)}
        38:{1,2,5,6}:{(19,1),(26,1),(56,1),(60,1),(110,1),(134,1)}
        39:{1,2,5,6}:{(20,1),(27,1),(57,1),(61,1),(110,1),(134,1)}
        40:{3,5,6}:{(21,1),(58,1),(62,1),(71,1),(109,1),(133,1),(143,1)}
        41:{1,2,4,7}:{(22,1),(26,1),(56,1),(63,1),(99,1)}
        42:{1,2,4,7}:{(23,1),(27,1),(57,1),(64,1),(100,1)}
        43:{1,2,4,7}:{(24,1),(28,1),(65,1),(99,1),(100,1)}
        44:{1,2,5,7}:{(25,1),(59,1),(67,1),(126,1),(127,1)}
        45:{2,3,6}:{(26,1),(29,1),(63,1)}
        46:{1,3,6}:{(27,1),(30,1),(64,1)}
        47:{3,4,6}:{(28,1),(65,1),(71,1),(109,1)}
        48:{1,2,4,5}:{(28,1),(71,1),(104,1),(105,1),(110,1)}
        49:{1,2,3,5}:{(29,1),(30,1),(68,1),(72,1),(110,1)}
        50:{2,3,4}:{(29,1),(72,1)}
        51:{1,3,4}:{(30,1),(72,1)}
        52:{1,3,6,7}:{(31,1),(34,1),(73,1),(75,1),(124,1)}
        53:{2,3,6,7}:{(32,1),(35,1),(74,1),(75,1),(123,1)}
        54:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(36,1),(73,1),(74,1),(75,1),(76,1),(90,1),(112,1),(113,1),(140,1)}
        55:{3,5,6,7}:{(33,1),(75,1),(76,1),(81,1),(114,1),(145,1)}
        56:{1,2,5,7}:{(34,1),(38,1),(41,1),(73,1),(77,1)}
        57:{1,2,5,7}:{(35,1),(39,1),(42,1),(74,1),(78,1)}
        58:{3,5,7}:{(36,1),(40,1),(75,1),(79,1)}
        59:{3,5,7}:{(37,1),(44,1),(80,1),(81,1)}
        60:{2,3,5,6}:{(38,1),(40,1),(45,1),(77,1),(83,1),(92,1),(123,1),(137,1)}
        61:{1,3,5,6}:{(39,1),(40,1),(46,1),(78,1),(84,1),(93,1),(124,1),(138,1)}
        62:{3,4,6}:{(40,1),(79,1),(83,1),(84,1),(85,1)}
        63:{2,3,7}:{(41,1),(45,1)}
        64:{1,3,7}:{(42,1),(46,1)}
        65:{3,4,7}:{(43,1),(47,1),(89,1)}
        66:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(80,1),(89,1),(90,1),(117,1),(118,1),(122,1)}
        67:{1,2,5,6}:{(44,1),(81,1),(90,1),(137,1),(138,1)}
        68:{1,2,3,6}:{(45,1),(46,1),(49,1),(86,1),(91,1)}
        69:{2,3,4,6}:{(45,1),(47,1),(50,1),(83,1),(87,1),(91,1),(92,1),(120,1),(123,1)}
        70:{1,3,4,6}:{(46,1),(47,1),(51,1),(84,1),(88,1),(91,1),(93,1),(120,1),(124,1)}
        71:{3,5}:{(47,1),(48,1)}
        72:{1,2,4}:{(49,1),(50,1),(51,1)}
        73:{1,2,6,7}:{(52,1),(56,1),(94,1),(134,1)}
        74:{1,2,6,7}:{(53,1),(57,1),(95,1),(134,1)}
        75:{3,6,7}:{(54,1),(58,1),(109,1),(143,1)}
        76:{4,6,7}:{(55,1),(97,1),(102,1),(146,1)}
        77:{2,3,5,7}:{(56,1),(58,1),(60,1),(63,1),(94,1),(99,1),(126,1)}
        78:{1,3,5,7}:{(57,1),(58,1),(61,1),(64,1),(95,1),(100,1),(127,1)}
        79:{3,4,7}:{(58,1),(62,1),(99,1),(100,1)}
        80:{4,5,7}:{(59,1),(102,1)}
        81:{3,5,6}:{(59,1),(67,1),(102,1),(109,1)}
        82:{1,2,3,5,6}:{(60,1),(61,1),(68,1),(98,1),(103,1),(110,1),(133,1),(134,1),(142,1),(143,1)}
        83:{2,4,6}:{(60,1),(62,1),(99,1),(104,1)}
        84:{1,4,6}:{(61,1),(62,1),(100,1),(105,1)}
        85:{3,4,5}:{(62,1),(71,1),(104,1),(105,1),(133,1)}
        86:{1,2,3,7}:{(63,1),(64,1),(68,1),(106,1)}
        87:{2,3,4,7}:{(63,1),(65,1),(69,1),(99,1),(106,1),(107,1),(129,1)}
        88:{1,3,4,7}:{(64,1),(65,1),(70,1),(100,1),(106,1),(108,1),(129,1)}
        89:{3,5,7}:{(65,1),(66,1),(71,1),(109,1)}
        90:{1,2,4,6}:{(66,1),(67,1),(102,1),(109,1),(131,1),(132,1),(134,1)}
        91:{1,2,4,6}:{(68,1),(69,1),(70,1),(72,1),(106,1),(110,1),(134,1)}
        92:{2,3,5}:{(69,1),(71,1),(104,1),(110,1),(133,1)}
        93:{1,3,5}:{(70,1),(71,1),(105,1),(110,1),(133,1)}
        94:{2,3,6,7}:{(73,1),(75,1),(77,1),(112,1),(123,1)}
        95:{1,3,6,7}:{(74,1),(75,1),(78,1),(113,1),(124,1)}
        96:{3,4,6,7}:{(75,1),(76,1),(79,1),(112,1),(113,1),(114,1),(119,1)}
        97:{4,5,7}:{(76,1),(114,1),(115,1)}
        98:{1,2,3,5,7}:{(77,1),(78,1),(82,1),(86,1),(111,1),(116,1),(122,1),(136,1),(139,1)}
        99:{2,4,7}:{(77,1),(79,1),(83,1)}
       100:{1,4,7}:{(78,1),(79,1),(84,1)}
       101:{3,4,5,7}:{(79,1),(80,1),(85,1),(89,1),(114,1),(117,1),(118,1),(119,1),(139,1),(144,1)}
       102:{4,6}:{(80,1),(81,1)}
       103:{1,2,4,6}:{(82,1),(83,1),(84,1),(116,1),(120,1),(121,1)}
       104:{2,4,5}:{(83,1),(85,1),(92,1)}
       105:{1,4,5}:{(84,1),(85,1),(93,1)}
       106:{1,2,4,7}:{(86,1),(87,1),(88,1),(91,1),(122,1)}
       107:{2,3,5,7}:{(87,1),(89,1),(92,1),(117,1),(122,1),(123,1),(139,1)}
       108:{1,3,5,7}:{(88,1),(89,1),(93,1),(118,1),(122,1),(124,1),(139,1)}
       109:{3,6}:{(89,1),(90,1)}
       110:{1,2,5}:{(91,1),(92,1),(93,1)}
       111:{1,2,3,6,7}:{(94,1),(95,1),(98,1),(125,1),(134,1),(143,1)}
       112:{2,4,6,7}:{(94,1),(96,1),(99,1),(126,1),(131,1)}
       113:{1,4,6,7}:{(95,1),(96,1),(100,1),(127,1),(132,1)}
       114:{3,5,7}:{(96,1),(97,1),(126,1),(127,1),(128,1)}
       115:{4,5,6}:{(97,1),(102,1),(128,1),(146,1)}
       116:{1,2,4,7}:{(98,1),(99,1),(100,1),(103,1),(129,1)}
       117:{2,4,5,7}:{(99,1),(101,1),(104,1),(107,1),(126,1),(131,1)}
       118:{1,4,5,7}:{(100,1),(101,1),(105,1),(108,1),(127,1),(132,1)}
       119:{3,4,6}:{(101,1),(102,1),(109,1),(128,1),(131,1),(132,1),(143,1),(146,1)}
       120:{3,4,6}:{(103,1),(129,1),(133,1),(143,1)}
       121:{1,2,4,5}:{(103,1),(104,1),(105,1),(110,1),(133,1)}
       122:{1,2,5,7}:{(106,1),(107,1),(108,1),(110,1),(134,1)}
       123:{2,3,6}:{(107,1),(109,1),(131,1),(134,1),(143,1)}
       124:{1,3,6}:{(108,1),(109,1),(132,1),(134,1),(143,1)}
       125:{1,2,4,6,7}:{(111,1),(112,1),(113,1),(116,1),(135,1),(136,1),(140,1)}
       126:{2,5,7}:{(112,1),(114,1),(137,1)}
       127:{1,5,7}:{(113,1),(114,1),(138,1)}
       128:{3,5,6}:{(114,1),(115,1),(119,1),(137,1),(138,1)}
       129:{3,4,7}:{(116,1),(120,1),(139,1)}
       130:{1,2,4,5,7}:{(116,1),(117,1),(118,1),(121,1),(122,1),(136,1),(139,1),(140,1),(144,1)}
       131:{2,4,6}:{(117,1),(119,1),(123,1),(137,1)}
       132:{1,4,6}:{(118,1),(119,1),(124,1),(138,1)}
       133:{3,5}:{(120,1),(121,1)}
       134:{1,2,6}:{(122,1),(123,1),(124,1)}
       135:{3,4,6,7}:{(125,1),(129,1),(141,1),(143,1),(146,1)}
       136:{1,2,5,7}:{(125,1),(126,1),(127,1),(141,1),(142,1)}
       137:{2,5,6}:{(126,1),(128,1),(131,1)}
       138:{1,5,6}:{(127,1),(128,1),(132,1)}
       139:{3,5,7}:{(129,1),(130,1),(133,1),(143,1)}
       140:{1,2,4,6}:{(130,1),(131,1),(132,1),(134,1),(142,1),(143,1),(146,1)}
       141:{3,5,7}:{(135,1),(136,1),(144,1),(145,1)}
       142:{1,2,5,6}:{(136,1),(137,1),(138,1),(140,1),(145,1)}
       143:{3,6}:{(139,1),(140,1)}
       144:{4,5,7}:{(141,1),(146,1)}
       145:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

1883 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(16,1),(17,1),(20,1),(21,1),(38,1),(71,1),(95,1),(96,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(114,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(18,1),(19,1),(20,1),(127,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(15,1),(71,1),(97,1),(126,1)}
         4:{1,2,4,5,6}:{(2,1),(9,1),(26,1),(27,1),(28,1)}
         5:{3,5,7}:{(2,1),(3,1),(9,1),(135,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(58,1),(62,1),(87,1),(92,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(58,1),(62,1),(86,1),(91,1),(111,1)}
         8:{1,2,4,5,6,7}:{(4,1),(14,1),(36,1),(37,1),(38,1),(65,1),(106,1)}
         9:{3,5,6}:{(4,1),(5,1),(15,1)}
        10:{3,4,5,7}:{(5,1),(15,1),(18,1),(19,1),(45,1),(97,1),(101,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(16,1),(18,1),(20,1),(45,1),(109,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(17,1),(19,1),(20,1),(45,1),(108,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(41,1),(46,1),(107,1)}
        14:{3,5,6,7}:{(8,1),(9,1),(23,1),(82,1),(120,1)}
        15:{3,4,6}:{(9,1),(10,1),(26,1),(27,1),(58,1)}
        16:{1,3,5,6}:{(9,1),(11,1),(26,1),(28,1),(58,1)}
        17:{2,3,5,6}:{(9,1),(12,1),(27,1),(28,1),(58,1)}
        18:{1,4,5,7}:{(10,1),(11,1),(26,1),(112,1),(116,1)}
        19:{2,4,5,7}:{(10,1),(12,1),(27,1),(111,1),(115,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(28,1),(121,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(58,1),(86,1),(87,1),(90,1)}
        22:{3,4,5,6}:{(15,1),(33,1),(34,1),(35,1),(68,1),(101,1),(125,1)}
        23:{3,4,6,7}:{(14,1),(15,1),(33,1),(36,1),(37,1),(71,1),(97,1),(125,1)}
        24:{1,3,5,6,7}:{(14,1),(16,1),(36,1),(38,1),(63,1),(71,1),(96,1),(130,1)}
        25:{2,3,5,6,7}:{(14,1),(17,1),(37,1),(38,1),(64,1),(71,1),(95,1),(129,1)}
        26:{1,4,6}:{(15,1),(16,1),(18,1)}
        27:{2,4,6}:{(15,1),(17,1),(19,1)}
        28:{1,2,5,6}:{(16,1),(17,1),(20,1),(41,1)}
        29:{1,3,4,5,7}:{(18,1),(39,1),(43,1),(45,1),(63,1),(79,1),(97,1),(101,1),(109,1),(124,1),(137,1)}
        30:{2,3,4,5,7}:{(19,1),(40,1),(44,1),(45,1),(64,1),(78,1),(97,1),(101,1),(108,1),(123,1),(137,1)}
        31:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(41,1),(45,1),(46,1),(76,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(42,1),(45,1),(46,1),(95,1),(96,1)}
        33:{3,4,5,7}:{(22,1),(23,1),(47,1),(48,1),(82,1)}
        34:{1,4,5,6}:{(22,1),(26,1),(47,1),(49,1),(116,1),(134,1)}
        35:{2,4,5,6}:{(22,1),(27,1),(48,1),(50,1),(115,1),(133,1)}
        36:{1,4,6,7}:{(23,1),(24,1),(26,1),(47,1),(112,1),(134,1)}
        37:{2,4,6,7}:{(23,1),(25,1),(27,1),(48,1),(111,1),(133,1)}
        38:{1,2,5,6,7}:{(24,1),(25,1),(28,1),(54,1),(80,1),(81,1),(136,1)}
        39:{1,3,4,6}:{(26,1),(29,1),(49,1),(56,1),(58,1),(85,1),(134,1),(139,1)}
        40:{2,3,4,6}:{(27,1),(30,1),(50,1),(57,1),(58,1),(85,1),(133,1),(139,1)}
        41:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(58,1)}
        42:{1,2,3,5,6}:{(28,1),(32,1),(58,1),(59,1),(83,1),(84,1),(90,1),(93,1),(121,1)}
        43:{1,2,4,5,7}:{(29,1),(56,1),(60,1),(80,1),(94,1),(111,1),(115,1),(121,1)}
        44:{1,2,4,5,7}:{(30,1),(57,1),(61,1),(81,1),(94,1),(112,1),(116,1),(121,1)}
        45:{3,5,7}:{(31,1),(58,1),(62,1),(93,1)}
        46:{1,2,4,7}:{(32,1),(59,1),(62,1),(111,1),(112,1)}
        47:{1,4,5,7}:{(33,1),(34,1),(36,1),(63,1)}
        48:{2,4,5,7}:{(33,1),(35,1),(37,1),(64,1)}
        49:{1,3,5,6}:{(34,1),(39,1),(63,1),(66,1),(68,1),(109,1)}
        50:{2,3,5,6}:{(35,1),(40,1),(64,1),(67,1),(68,1),(108,1)}
        51:{1,2,4,5,6}:{(34,1),(35,1),(41,1),(65,1),(66,1),(67,1),(68,1),(76,1),(99,1),(100,1),(127,1),(138,1)}
        52:{1,3,4,6,7}:{(36,1),(39,1),(63,1),(69,1),(71,1),(97,1)}
        53:{2,3,4,6,7}:{(37,1),(40,1),(64,1),(70,1),(71,1),(97,1)}
        54:{1,2,4,6,7}:{(36,1),(37,1),(38,1),(41,1),(65,1),(71,1),(138,1)}
        55:{1,2,3,5,6,7}:{(38,1),(42,1),(71,1),(72,1),(95,1),(96,1),(102,1),(105,1),(128,1),(129,1),(130,1)}
        56:{1,2,4,6}:{(39,1),(43,1),(66,1),(73,1),(99,1)}
        57:{1,2,4,6}:{(40,1),(44,1),(67,1),(74,1),(100,1)}
        58:{3,6}:{(41,1),(45,1)}
        59:{1,2,4,6}:{(42,1),(46,1),(75,1),(76,1),(99,1),(100,1)}
        60:{2,3,5,7}:{(43,1),(45,1),(73,1),(78,1),(108,1),(137,1)}
        61:{1,3,5,7}:{(44,1),(45,1),(74,1),(79,1),(109,1),(137,1)}
        62:{3,4,7}:{(45,1),(46,1),(75,1)}
        63:{1,3,5,7}:{(47,1),(49,1),(52,1),(80,1),(82,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(53,1),(81,1),(82,1)}
        65:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(54,1),(80,1),(81,1),(82,1),(111,1),(112,1)}
        66:{1,2,5,6}:{(49,1),(56,1),(80,1),(83,1),(121,1)}
        67:{1,2,5,6}:{(50,1),(57,1),(81,1),(84,1),(121,1)}
        68:{3,5,6}:{(51,1),(58,1),(82,1),(85,1),(93,1),(135,1),(139,1)}
        69:{1,2,4,6,7}:{(52,1),(56,1),(80,1),(86,1),(111,1)}
        70:{1,2,4,6,7}:{(53,1),(57,1),(81,1),(87,1),(112,1)}
        71:{3,6,7}:{(54,1),(58,1),(82,1),(139,1)}
        72:{1,2,4,6,7}:{(55,1),(59,1),(88,1),(89,1),(111,1),(112,1),(133,1),(134,1)}
        73:{2,3,6}:{(56,1),(58,1),(60,1),(139,1)}
        74:{1,3,6}:{(57,1),(58,1),(61,1),(139,1)}
        75:{3,4,6}:{(58,1),(59,1),(62,1),(93,1)}
        76:{1,2,4,5}:{(59,1),(93,1),(115,1),(116,1),(121,1)}
        77:{1,2,3,5,7}:{(60,1),(61,1),(90,1),(94,1),(121,1)}
        78:{2,3,4,7}:{(60,1),(62,1),(91,1),(94,1),(111,1),(131,1)}
        79:{1,3,4,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(131,1)}
        80:{1,2,5,7}:{(63,1),(66,1),(69,1),(95,1)}
        81:{1,2,5,7}:{(64,1),(67,1),(70,1),(96,1)}
        82:{3,5,7}:{(65,1),(68,1),(71,1),(97,1)}
        83:{2,3,5,6}:{(66,1),(68,1),(73,1),(95,1),(99,1),(108,1)}
        84:{1,3,5,6}:{(67,1),(68,1),(74,1),(96,1),(100,1),(109,1)}
        85:{3,4,6}:{(68,1),(97,1),(99,1),(100,1),(101,1)}
        86:{2,3,6,7}:{(69,1),(71,1),(73,1),(95,1)}
        87:{1,3,6,7}:{(70,1),(71,1),(74,1),(96,1)}
        88:{3,4,6,7}:{(71,1),(72,1),(75,1),(97,1),(105,1),(125,1)}
        89:{1,2,4,5,7}:{(72,1),(76,1),(105,1),(106,1),(123,1),(124,1),(128,1)}
        90:{1,2,3,6}:{(73,1),(74,1),(77,1),(107,1)}
        91:{2,3,4,6}:{(73,1),(75,1),(78,1),(99,1),(107,1),(108,1),(126,1)}
        92:{1,3,4,6}:{(74,1),(75,1),(79,1),(100,1),(107,1),(109,1),(126,1)}
        93:{3,5}:{(75,1),(76,1)}
        94:{1,2,4,7}:{(77,1),(78,1),(79,1),(107,1)}
        95:{2,3,5,7}:{(80,1),(82,1),(83,1),(86,1),(111,1)}
        96:{1,3,5,7}:{(81,1),(82,1),(84,1),(87,1),(112,1)}
        97:{3,4,7}:{(82,1),(85,1),(111,1),(112,1)}
        98:{1,2,3,5,6}:{(83,1),(84,1),(90,1),(110,1),(114,1),(121,1),(135,1),(136,1),(139,1)}
        99:{2,4,6}:{(83,1),(85,1),(111,1),(115,1)}
       100:{1,4,6}:{(84,1),(85,1),(112,1),(116,1)}
       101:{3,4,5}:{(85,1),(93,1),(115,1),(116,1),(135,1)}
       102:{1,2,3,6,7}:{(86,1),(87,1),(90,1),(110,1),(117,1),(139,1)}
       103:{2,3,4,6,7}:{(86,1),(88,1),(91,1),(111,1),(117,1),(118,1),(131,1),(133,1),(139,1)}
       104:{1,3,4,6,7}:{(87,1),(88,1),(92,1),(112,1),(117,1),(119,1),(131,1),(134,1),(139,1)}
       105:{3,5,7}:{(88,1),(89,1),(93,1),(120,1)}
       106:{1,2,4,5,6}:{(89,1),(120,1),(133,1),(134,1),(136,1)}
       107:{1,2,4,6}:{(90,1),(91,1),(92,1),(94,1),(121,1)}
       108:{2,3,5}:{(91,1),(93,1),(115,1),(121,1),(135,1)}
       109:{1,3,5}:{(92,1),(93,1),(116,1),(121,1),(135,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(102,1),(122,1),(128,1),(137,1)}
       111:{2,4,7}:{(95,1),(97,1),(99,1)}
       112:{1,4,7}:{(96,1),(97,1),(100,1)}
       113:{3,4,5,7}:{(97,1),(101,1),(105,1),(123,1),(124,1),(125,1),(137,1)}
       114:{1,2,4,6}:{(98,1),(99,1),(100,1),(122,1),(126,1),(127,1)}
       115:{2,4,5}:{(99,1),(101,1),(108,1)}
       116:{1,4,5}:{(100,1),(101,1),(109,1)}
       117:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(107,1),(122,1),(128,1),(138,1)}
       118:{2,3,5,7}:{(103,1),(105,1),(108,1),(123,1),(128,1),(129,1),(137,1)}
       119:{1,3,5,7}:{(104,1),(105,1),(109,1),(124,1),(128,1),(130,1),(137,1)}
       120:{3,5,6}:{(105,1),(106,1),(125,1)}
       121:{1,2,5}:{(107,1),(108,1),(109,1)}
       122:{1,2,4,7}:{(110,1),(111,1),(112,1),(114,1),(131,1)}
       123:{2,4,5,7}:{(111,1),(113,1),(115,1),(118,1),(133,1)}
       124:{1,4,5,7}:{(112,1),(113,1),(116,1),(119,1),(134,1)}
       125:{3,4,6}:{(113,1),(120,1),(133,1),(134,1),(139,1)}
       126:{3,4,6}:{(114,1),(131,1),(135,1),(139,1)}
       127:{1,2,4,5}:{(114,1),(115,1),(116,1),(121,1),(135,1)}
       128:{1,2,5,7}:{(117,1),(118,1),(119,1),(121,1),(136,1)}
       129:{2,3,5,6}:{(118,1),(120,1),(133,1),(136,1),(139,1)}
       130:{1,3,5,6}:{(119,1),(120,1),(134,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(126,1),(137,1)}
       132:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(127,1),(128,1),(137,1),(138,1)}
       133:{2,4,6}:{(123,1),(125,1),(129,1)}
       134:{1,4,6}:{(124,1),(125,1),(130,1)}
       135:{3,5}:{(126,1),(127,1)}
       136:{1,2,5,6}:{(128,1),(129,1),(130,1),(138,1)}
       137:{3,5,7}:{(131,1),(132,1),(135,1),(139,1)}
       138:{1,2,4,6}:{(132,1),(133,1),(134,1),(136,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1884 :   0:{1,2,3,6,7}:{(2,1),(3,1),(45,1),(82,1),(83,1),(84,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(13,1),(14,1),(17,1),(45,1),(47,1),(48,1),(49,1),(82,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(23,1),(26,1),(63,1),(68,1),(69,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(27,1),(93,1),(94,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(60,1),(61,1)}
         5:{3,4,6,7}:{(3,1),(10,1),(11,1),(36,1),(45,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(11,1),(80,1),(81,1)}
         7:{1,2,5,7}:{(3,1),(10,1),(13,1),(100,1),(101,1)}
         8:{3,4,6}:{(4,1),(11,1),(17,1),(45,1)}
         9:{1,2,4,5}:{(4,1),(17,1),(39,1),(40,1),(47,1)}
        10:{3,5,7}:{(5,1),(7,1),(19,1),(20,1)}
        11:{3,4,7}:{(6,1),(8,1),(26,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(19,1),(26,1),(27,1),(54,1),(55,1),(63,1)}
        13:{1,2,5,6}:{(7,1),(20,1),(27,1),(88,1),(89,1)}
        14:{1,2,3,6}:{(21,1),(23,1),(29,1),(95,1)}
        15:{2,3,4,6}:{(8,1),(24,1),(29,1),(30,1),(58,1),(60,1),(64,1),(86,1),(95,1)}
        16:{1,3,4,6}:{(8,1),(25,1),(29,1),(31,1),(58,1),(61,1),(65,1),(86,1),(95,1)}
        17:{3,5}:{(8,1),(9,1)}
        18:{1,2,4,5,6}:{(9,1),(27,1),(32,1),(33,1),(52,1),(60,1),(61,1),(67,1),(88,1),(89,1)}
        19:{4,5,7}:{(10,1),(36,1)}
        20:{3,5,6}:{(10,1),(13,1),(36,1),(45,1)}
        21:{1,2,3,5}:{(14,1),(38,1),(47,1),(78,1)}
        22:{3,4,5}:{(17,1),(39,1),(40,1),(41,1),(78,1)}
        23:{1,2,3,7}:{(14,1),(42,1),(104,1)}
        24:{2,3,4,7}:{(11,1),(15,1),(42,1),(43,1),(73,1),(80,1),(104,1)}
        25:{1,3,4,7}:{(11,1),(16,1),(42,1),(44,1),(73,1),(81,1),(104,1)}
        26:{3,5,7}:{(11,1),(12,1),(17,1),(45,1)}
        27:{1,2,4,6}:{(12,1),(13,1),(36,1),(45,1),(75,1),(76,1),(82,1)}
        28:{1,2,5,6,7}:{(13,1),(37,1),(46,1),(100,1),(101,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(16,1),(38,1),(42,1),(47,1),(82,1)}
        30:{2,3,5}:{(15,1),(17,1),(39,1),(47,1),(78,1),(98,1)}
        31:{1,3,5}:{(16,1),(17,1),(40,1),(47,1),(78,1),(98,1)}
        32:{3,5,6}:{(17,1),(18,1),(41,1),(45,1),(50,1)}
        33:{1,2,4,5,7}:{(18,1),(46,1),(50,1),(72,1),(80,1),(81,1),(85,1),(100,1),(101,1)}
        34:{1,2,3,5,7}:{(21,1),(23,1),(51,1),(53,1),(63,1),(87,1),(91,1)}
        35:{3,4,5,7}:{(19,1),(22,1),(26,1),(54,1),(55,1),(56,1),(62,1),(90,1),(91,1),(105,1),(111,1)}
        36:{4,6}:{(19,1),(20,1)}
        37:{3,5,6,7}:{(20,1),(28,1),(57,1),(66,1),(90,1)}
        38:{1,2,4}:{(21,1),(58,1)}
        39:{2,4,5}:{(22,1),(30,1),(60,1),(105,1)}
        40:{1,4,5}:{(22,1),(31,1),(61,1),(105,1)}
        41:{3,4,6}:{(22,1),(32,1),(60,1),(61,1),(62,1),(95,1)}
        42:{1,2,4,7}:{(23,1),(24,1),(25,1),(29,1),(63,1)}
        43:{2,3,5,7}:{(24,1),(26,1),(30,1),(54,1),(63,1),(64,1),(91,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(31,1),(55,1),(63,1),(65,1),(91,1)}
        45:{3,6}:{(26,1),(27,1)}
        46:{1,2,4,6,7}:{(27,1),(28,1),(33,1),(57,1),(66,1),(93,1),(94,1),(97,1)}
        47:{1,2,5}:{(29,1),(30,1),(31,1)}
        48:{2,3,5,6}:{(30,1),(32,1),(60,1),(64,1),(67,1),(68,1),(88,1),(95,1),(106,1)}
        49:{1,3,5,6}:{(31,1),(32,1),(61,1),(65,1),(67,1),(69,1),(89,1),(95,1),(106,1)}
        50:{3,5,7}:{(32,1),(33,1),(62,1),(66,1)}
        51:{1,2,3,6}:{(34,1),(70,1),(82,1),(102,1)}
        52:{4,5,6}:{(36,1),(71,1),(72,1),(109,1)}
        53:{1,2,4,7}:{(34,1),(38,1),(70,1),(73,1)}
        54:{2,4,5,7}:{(35,1),(39,1),(43,1),(75,1),(80,1),(100,1)}
        55:{1,4,5,7}:{(35,1),(40,1),(44,1),(76,1),(81,1),(101,1)}
        56:{3,4,6}:{(35,1),(36,1),(45,1),(71,1),(75,1),(76,1),(102,1),(109,1)}
        57:{4,6,7}:{(36,1),(37,1),(72,1)}
        58:{3,4}:{(38,1),(78,1)}
        59:{1,2,4,5}:{(38,1),(39,1),(40,1),(47,1),(78,1),(79,1)}
        60:{2,4,6}:{(39,1),(41,1),(48,1),(80,1),(109,1)}
        61:{1,4,6}:{(40,1),(41,1),(49,1),(81,1),(109,1)}
        62:{3,4,7}:{(41,1),(50,1),(80,1),(81,1),(104,1)}
        63:{1,2,5,7}:{(42,1),(43,1),(44,1),(47,1),(82,1)}
        64:{2,3,6}:{(43,1),(45,1),(75,1),(82,1),(102,1)}
        65:{1,3,6}:{(44,1),(45,1),(76,1),(82,1),(102,1)}
        66:{3,6,7}:{(45,1),(46,1),(50,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(49,1),(79,1),(82,1),(85,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(80,1),(83,1),(85,1),(100,1),(104,1),(110,1)}
        69:{1,3,5,7}:{(49,1),(50,1),(81,1),(84,1),(85,1),(101,1),(104,1),(110,1)}
        70:{1,2,4,6}:{(51,1),(53,1),(86,1),(87,1)}
        71:{3,5,6}:{(52,1),(56,1),(88,1),(89,1),(90,1)}
        72:{4,5,7}:{(52,1),(57,1),(90,1),(111,1)}
        73:{3,4,7}:{(53,1),(58,1),(86,1),(91,1),(111,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(59,1),(63,1),(87,1),(91,1),(92,1),(96,1),(105,1),(107,1),(111,1)}
        75:{2,4,6}:{(54,1),(56,1),(64,1),(88,1)}
        76:{1,4,6}:{(55,1),(56,1),(65,1),(89,1)}
        77:{3,4,6,7}:{(56,1),(57,1),(62,1),(66,1),(90,1),(93,1),(94,1),(108,1),(111,1)}
        78:{3,5}:{(58,1),(59,1),(95,1)}
        79:{1,2,4,6}:{(59,1),(60,1),(61,1),(67,1),(95,1),(96,1)}
        80:{2,4,7}:{(60,1),(62,1),(68,1),(111,1)}
        81:{1,4,7}:{(61,1),(62,1),(69,1),(111,1)}
        82:{1,2,6}:{(63,1),(64,1),(65,1)}
        83:{2,3,6,7}:{(64,1),(66,1),(68,1),(93,1),(97,1),(108,1)}
        84:{1,3,6,7}:{(65,1),(66,1),(69,1),(94,1),(97,1),(108,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(96,1),(97,1)}
        86:{3,4,6}:{(70,1),(73,1),(98,1),(102,1),(109,1)}
        87:{1,2,5}:{(70,1),(98,1)}
        88:{2,5,6}:{(71,1),(75,1),(100,1)}
        89:{1,5,6}:{(71,1),(76,1),(101,1)}
        90:{3,5,7}:{(71,1),(72,1),(77,1),(100,1),(101,1)}
        91:{3,5,7}:{(73,1),(74,1),(78,1),(98,1),(102,1),(104,1)}
        92:{1,2,4,6}:{(74,1),(75,1),(76,1),(82,1),(99,1),(102,1),(109,1)}
        93:{2,4,6,7}:{(75,1),(77,1),(80,1),(83,1),(100,1)}
        94:{1,4,6,7}:{(76,1),(77,1),(81,1),(84,1),(101,1)}
        95:{3,6}:{(78,1),(79,1),(104,1)}
        96:{1,2,4,7}:{(79,1),(80,1),(81,1),(85,1),(104,1)}
        97:{1,2,6,7}:{(82,1),(83,1),(84,1),(85,1)}
        98:{3,5}:{(86,1),(87,1),(105,1)}
        99:{1,2,5,6}:{(87,1),(88,1),(89,1),(92,1),(106,1),(107,1)}
       100:{2,5,7}:{(88,1),(90,1),(93,1)}
       101:{1,5,7}:{(89,1),(90,1),(94,1)}
       102:{3,6}:{(91,1),(92,1)}
       103:{1,2,4,6,7}:{(92,1),(93,1),(94,1),(96,1),(97,1),(107,1),(108,1),(111,1)}
       104:{3,7}:{(95,1),(96,1)}
       105:{4,5}:{(98,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(102,1),(109,1),(110,1)}
       107:{1,2,5,7}:{(99,1),(100,1),(101,1),(103,1),(110,1)}
       108:{3,6,7}:{(102,1),(103,1),(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1885 :   0:{3,4,5,6}:{(3,1),(4,1),(5,1),(34,1),(77,1),(116,1),(140,1)}
         1:{2,3,4,5}:{(6,1),(7,1),(41,1),(77,1),(83,1)}
         2:{1,3,4,5}:{(8,1),(9,1),(38,1),(77,1),(81,1)}
         3:{3,4,5,7}:{(0,1),(14,1),(15,1),(16,1),(55,1),(130,1)}
         4:{1,4,5,6}:{(0,1),(12,1),(15,1),(92,1),(127,1)}
         5:{2,4,5,6}:{(0,1),(11,1),(16,1),(95,1),(129,1)}
         6:{2,3,4,6}:{(1,1),(11,1),(18,1),(19,1),(56,1)}
         7:{1,2,4,5}:{(1,1),(19,1),(20,1),(58,1),(92,1),(100,1)}
         8:{1,3,4,6}:{(2,1),(12,1),(21,1),(22,1),(56,1)}
         9:{1,2,4,5}:{(2,1),(22,1),(23,1),(58,1),(95,1),(100,1)}
        10:{1,2,3,5,6}:{(24,1),(25,1),(48,1),(51,1),(57,1),(64,1),(100,1),(104,1),(105,1),(132,1)}
        11:{2,3,5,6}:{(5,1),(6,1),(26,1),(27,1),(34,1),(83,1),(119,1)}
        12:{1,3,5,6}:{(4,1),(8,1),(28,1),(29,1),(34,1),(81,1),(118,1)}
        13:{4,5,6,7}:{(30,1),(114,1),(140,1)}
        14:{3,4,6,7}:{(3,1),(30,1),(31,1),(32,1),(75,1),(114,1),(116,1)}
        15:{1,4,5,7}:{(3,1),(4,1),(28,1),(31,1)}
        16:{2,4,5,7}:{(3,1),(5,1),(26,1),(32,1)}
        17:{1,2,4,5,6}:{(4,1),(5,1),(27,1),(29,1),(33,1),(34,1),(45,1),(70,1),(73,1),(87,1),(109,1),(137,1),(138,1),(139,1),(140,1)}
        18:{2,3,4,7}:{(6,1),(26,1),(36,1),(76,1)}
        19:{1,2,4,6}:{(6,1),(7,1),(27,1),(36,1),(37,1),(70,1)}
        20:{1,3,5}:{(7,1),(37,1),(38,1)}
        21:{1,3,4,7}:{(8,1),(28,1),(39,1),(76,1)}
        22:{1,2,4,6}:{(8,1),(9,1),(29,1),(39,1),(40,1),(73,1)}
        23:{2,3,5}:{(9,1),(40,1),(41,1)}
        24:{1,2,3,5,7}:{(10,1),(43,1),(44,1),(69,1),(72,1),(78,1),(85,1),(86,1),(117,1)}
        25:{1,2,4,6}:{(10,1),(42,1),(44,1),(45,1),(70,1),(73,1)}
        26:{2,3,5,7}:{(11,1),(16,1),(18,1),(46,1),(47,1),(55,1)}
        27:{1,2,5,6}:{(11,1),(19,1),(47,1),(48,1),(100,1),(132,1)}
        28:{1,3,5,7}:{(12,1),(15,1),(21,1),(49,1),(50,1),(55,1)}
        29:{1,2,5,6}:{(12,1),(22,1),(50,1),(51,1),(100,1),(132,1)}
        30:{3,5,6,7}:{(13,1),(14,1),(52,1),(53,1),(131,1)}
        31:{1,4,6,7}:{(14,1),(15,1),(49,1),(52,1),(127,1)}
        32:{2,4,6,7}:{(14,1),(16,1),(46,1),(53,1),(129,1)}
        33:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(47,1),(50,1),(54,1),(55,1),(91,1),(94,1),(126,1),(128,1),(130,1)}
        34:{3,5,6}:{(17,1),(55,1),(56,1),(64,1),(104,1),(123,1),(142,1)}
        35:{1,2,3,5}:{(20,1),(23,1),(57,1),(58,1),(100,1)}
        36:{1,2,4,7}:{(18,1),(19,1),(47,1),(59,1),(91,1)}
        37:{1,3,6}:{(19,1),(20,1),(59,1)}
        38:{1,3,4}:{(20,1),(58,1)}
        39:{1,2,4,7}:{(21,1),(22,1),(50,1),(61,1),(94,1)}
        40:{2,3,6}:{(22,1),(23,1),(61,1)}
        41:{2,3,4}:{(23,1),(58,1)}
        42:{3,4,6}:{(25,1),(63,1),(64,1),(104,1)}
        43:{1,2,3,6,7}:{(24,1),(65,1),(90,1),(93,1),(104,1),(132,1)}
        44:{1,2,4,7}:{(24,1),(25,1),(63,1),(91,1),(94,1)}
        45:{1,2,4,5}:{(25,1),(64,1),(92,1),(95,1),(100,1)}
        46:{2,3,6,7}:{(26,1),(32,1),(68,1),(75,1),(119,1)}
        47:{1,2,5,7}:{(26,1),(27,1),(36,1),(68,1),(69,1)}
        48:{1,3,5,6}:{(27,1),(34,1),(37,1),(69,1),(70,1),(81,1),(118,1),(138,1)}
        49:{1,3,6,7}:{(28,1),(31,1),(71,1),(75,1),(118,1)}
        50:{1,2,5,7}:{(28,1),(29,1),(39,1),(71,1),(72,1)}
        51:{2,3,5,6}:{(29,1),(34,1),(40,1),(72,1),(73,1),(83,1),(119,1),(139,1)}
        52:{1,5,6,7}:{(30,1),(31,1),(138,1)}
        53:{2,5,6,7}:{(30,1),(32,1),(139,1)}
        54:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(68,1),(71,1),(74,1),(75,1),(87,1),(110,1),(112,1),(114,1),(137,1)}
        55:{3,5,7}:{(33,1),(34,1),(75,1),(76,1)}
        56:{3,4,6}:{(34,1),(70,1),(73,1),(76,1),(77,1)}
        57:{1,2,3,6}:{(35,1),(37,1),(40,1),(78,1),(79,1)}
        58:{1,2,4}:{(35,1),(38,1),(41,1)}
        59:{1,3,7}:{(36,1),(37,1)}
        60:{1,3,4,6}:{(37,1),(38,1),(42,1),(70,1),(79,1),(80,1),(81,1),(106,1),(118,1)}
        61:{2,3,7}:{(39,1),(40,1)}
        62:{2,3,4,6}:{(40,1),(41,1),(42,1),(73,1),(79,1),(82,1),(83,1),(106,1),(119,1)}
        63:{3,4,7}:{(42,1),(44,1),(85,1)}
        64:{3,5}:{(42,1),(45,1)}
        65:{1,2,4,6,7}:{(43,1),(44,1),(84,1),(86,1),(87,1),(110,1),(112,1)}
        66:{1,2,4,5,7}:{(44,1),(45,1),(85,1),(86,1),(87,1),(111,1),(113,1),(117,1),(120,1)}
        67:{1,2,3,5,6}:{(48,1),(51,1),(57,1),(88,1),(89,1),(100,1),(123,1),(132,1),(142,1),(143,1)}
        68:{1,2,6,7}:{(46,1),(47,1),(90,1),(132,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(55,1),(59,1),(90,1),(91,1),(126,1)}
        70:{1,4,6}:{(48,1),(56,1),(91,1),(92,1)}
        71:{1,2,6,7}:{(49,1),(50,1),(93,1),(132,1)}
        72:{2,3,5,7}:{(50,1),(51,1),(55,1),(61,1),(93,1),(94,1),(128,1)}
        73:{2,4,6}:{(51,1),(56,1),(94,1),(95,1)}
        74:{1,2,5,6,7}:{(52,1),(53,1),(54,1),(96,1),(105,1),(126,1),(128,1),(143,1)}
        75:{3,6,7}:{(54,1),(55,1),(104,1),(142,1)}
        76:{3,4,7}:{(55,1),(56,1),(91,1),(94,1)}
        77:{3,4,5}:{(56,1),(64,1),(92,1),(95,1),(123,1)}
        78:{1,2,3,7}:{(57,1),(59,1),(61,1),(99,1)}
        79:{1,2,4,6}:{(57,1),(58,1),(60,1),(62,1),(99,1),(100,1),(132,1)}
        80:{1,3,4,7}:{(59,1),(60,1),(63,1),(91,1),(99,1),(101,1),(122,1)}
        81:{1,3,5}:{(60,1),(64,1),(92,1),(100,1),(123,1)}
        82:{2,3,4,7}:{(61,1),(62,1),(63,1),(94,1),(99,1),(102,1),(122,1)}
        83:{2,3,5}:{(62,1),(64,1),(95,1),(100,1),(123,1)}
        84:{3,4,6,7}:{(63,1),(65,1),(103,1),(104,1),(133,1)}
        85:{3,5,7}:{(63,1),(64,1),(66,1),(104,1)}
        86:{1,2,5,7}:{(65,1),(103,1),(105,1),(126,1),(128,1)}
        87:{1,2,4,6}:{(66,1),(104,1),(105,1),(127,1),(129,1),(132,1),(133,1)}
        88:{1,2,3,5,7}:{(67,1),(69,1),(72,1),(78,1),(107,1),(108,1),(117,1),(135,1),(136,1)}
        89:{1,2,4,6}:{(67,1),(70,1),(73,1),(106,1),(108,1),(109,1)}
        90:{1,3,6,7}:{(68,1),(69,1),(75,1),(110,1),(118,1)}
        91:{1,4,7}:{(69,1),(70,1),(76,1)}
        92:{1,4,5}:{(70,1),(77,1),(81,1)}
        93:{2,3,6,7}:{(71,1),(72,1),(75,1),(112,1),(119,1)}
        94:{2,4,7}:{(72,1),(73,1),(76,1)}
        95:{2,4,5}:{(73,1),(77,1),(83,1)}
        96:{3,5,6,7}:{(74,1),(75,1),(114,1),(115,1),(121,1),(145,1)}
        97:{3,4,6,7}:{(75,1),(76,1),(110,1),(112,1),(114,1),(115,1),(116,1)}
        98:{3,4,5,7}:{(76,1),(77,1),(85,1),(111,1),(113,1),(115,1),(116,1),(120,1),(135,1),(144,1)}
        99:{1,2,4,7}:{(78,1),(79,1),(80,1),(82,1),(117,1)}
       100:{1,2,5}:{(79,1),(81,1),(83,1)}
       101:{1,3,5,7}:{(80,1),(81,1),(85,1),(111,1),(117,1),(118,1),(135,1)}
       102:{2,3,5,7}:{(82,1),(83,1),(85,1),(113,1),(117,1),(119,1),(135,1)}
       103:{3,5,7}:{(84,1),(86,1),(120,1),(121,1)}
       104:{3,6}:{(85,1),(87,1)}
       105:{1,2,5,6}:{(86,1),(87,1),(121,1),(138,1),(139,1)}
       106:{3,4,6}:{(89,1),(122,1),(123,1),(142,1)}
       107:{1,2,3,6,7}:{(88,1),(90,1),(93,1),(124,1),(132,1),(142,1)}
       108:{1,2,4,7}:{(88,1),(89,1),(91,1),(94,1),(122,1)}
       109:{1,2,4,5}:{(89,1),(92,1),(95,1),(100,1),(123,1)}
       110:{1,4,6,7}:{(90,1),(91,1),(97,1),(126,1),(127,1)}
       111:{1,4,5,7}:{(91,1),(92,1),(98,1),(101,1),(126,1),(127,1)}
       112:{2,4,6,7}:{(93,1),(94,1),(97,1),(128,1),(129,1)}
       113:{2,4,5,7}:{(94,1),(95,1),(98,1),(102,1),(128,1),(129,1)}
       114:{4,6,7}:{(96,1),(130,1),(133,1),(146,1)}
       115:{3,5,7}:{(97,1),(126,1),(128,1),(130,1),(131,1)}
       116:{3,4,6}:{(98,1),(104,1),(127,1),(129,1),(131,1),(133,1),(142,1),(146,1)}
       117:{1,2,5,7}:{(99,1),(100,1),(101,1),(102,1),(132,1)}
       118:{1,3,6}:{(101,1),(104,1),(127,1),(132,1),(142,1)}
       119:{2,3,6}:{(102,1),(104,1),(129,1),(132,1),(142,1)}
       120:{4,5,7}:{(103,1),(133,1)}
       121:{3,5,6}:{(103,1),(104,1),(105,1),(133,1)}
       122:{3,4,7}:{(106,1),(108,1),(135,1)}
       123:{3,5}:{(106,1),(109,1)}
       124:{1,2,4,6,7}:{(107,1),(108,1),(110,1),(112,1),(134,1),(136,1),(137,1)}
       125:{1,2,4,5,7}:{(108,1),(109,1),(111,1),(113,1),(117,1),(135,1),(136,1),(137,1),(144,1)}
       126:{1,5,7}:{(110,1),(115,1),(138,1)}
       127:{1,4,6}:{(111,1),(116,1),(118,1),(138,1)}
       128:{2,5,7}:{(112,1),(115,1),(139,1)}
       129:{2,4,6}:{(113,1),(116,1),(119,1),(139,1)}
       130:{4,5,7}:{(114,1),(115,1),(140,1)}
       131:{3,5,6}:{(115,1),(116,1),(138,1),(139,1),(140,1)}
       132:{1,2,6}:{(117,1),(118,1),(119,1)}
       133:{4,6}:{(120,1),(121,1)}
       134:{3,4,6,7}:{(122,1),(124,1),(141,1),(142,1),(146,1)}
       135:{3,5,7}:{(122,1),(123,1),(125,1),(142,1)}
       136:{1,2,5,7}:{(124,1),(126,1),(128,1),(141,1),(143,1)}
       137:{1,2,4,6}:{(125,1),(127,1),(129,1),(132,1),(142,1),(143,1),(146,1)}
       138:{1,5,6}:{(126,1),(127,1),(131,1)}
       139:{2,5,6}:{(128,1),(129,1),(131,1)}
       140:{4,5,6}:{(130,1),(131,1),(133,1),(146,1)}
       141:{3,5,7}:{(134,1),(136,1),(144,1),(145,1)}
       142:{3,6}:{(135,1),(137,1)}
       143:{1,2,5,6}:{(136,1),(137,1),(138,1),(139,1),(145,1)}
       144:{4,5,7}:{(141,1),(146,1)}
       145:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

1886 :   0:{1,3,5,6,7}:{(4,1),(5,1),(20,1),(27,1),(29,1),(50,1),(66,1)}
         1:{2,3,5,6,7}:{(4,1),(6,1),(16,1),(28,1),(29,1),(56,1),(67,1)}
         2:{2,3,4,6,7}:{(7,1),(8,1),(15,1),(33,1),(49,1),(70,1),(72,1),(85,1),(108,1),(113,1),(119,1)}
         3:{1,3,4,6,7}:{(9,1),(10,1),(14,1),(38,1),(48,1),(76,1),(78,1),(84,1),(107,1),(112,1),(119,1)}
         4:{1,2,5,6,7}:{(0,1),(1,1),(13,1),(32,1),(37,1),(46,1),(47,1),(86,1)}
         5:{1,4,6,7}:{(0,1),(11,1),(14,1),(38,1),(69,1),(84,1)}
         6:{2,4,6,7}:{(1,1),(12,1),(15,1),(33,1),(75,1),(85,1)}
         7:{1,2,4,6,7}:{(2,1),(17,1),(18,1),(31,1),(51,1),(53,1),(68,1),(105,1),(126,1)}
         8:{2,3,5,7}:{(2,1),(16,1),(18,1),(19,1),(28,1),(54,1),(121,1),(125,1)}
         9:{1,2,4,6,7}:{(3,1),(21,1),(22,1),(30,1),(57,1),(59,1),(68,1),(105,1),(122,1)}
        10:{1,3,5,7}:{(3,1),(20,1),(22,1),(23,1),(27,1),(60,1),(120,1),(124,1)}
        11:{1,4,5,7}:{(5,1),(24,1),(27,1),(87,1)}
        12:{2,4,5,7}:{(6,1),(25,1),(28,1),(94,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(26,1),(29,1),(30,1),(31,1),(51,1),(57,1),(68,1),(105,1)}
        14:{3,4,6,7}:{(5,1),(27,1),(29,1),(30,1),(58,1),(65,1),(88,1)}
        15:{3,4,6,7}:{(6,1),(28,1),(29,1),(31,1),(52,1),(65,1),(95,1)}
        16:{2,3,5,6}:{(8,1),(32,1),(33,1),(44,1),(70,1)}
        17:{1,3,6,7}:{(7,1),(34,1),(70,1),(119,1),(133,1)}
        18:{1,2,5,7}:{(7,1),(8,1),(32,1),(34,1),(47,1),(132,1)}
        19:{2,4,5,7}:{(8,1),(33,1),(36,1),(85,1),(117,1)}
        20:{1,3,5,6}:{(10,1),(37,1),(38,1),(43,1),(76,1)}
        21:{2,3,6,7}:{(9,1),(39,1),(76,1),(119,1),(131,1)}
        22:{1,2,5,7}:{(9,1),(10,1),(37,1),(39,1),(46,1),(130,1)}
        23:{1,4,5,7}:{(10,1),(38,1),(41,1),(84,1),(116,1)}
        24:{1,4,5,6}:{(11,1),(38,1),(43,1)}
        25:{2,4,5,6}:{(12,1),(33,1),(44,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(42,1),(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        27:{3,5,7}:{(11,1),(14,1),(43,1),(46,1),(106,1)}
        28:{3,5,7}:{(12,1),(15,1),(44,1),(47,1),(111,1)}
        29:{3,6,7}:{(13,1),(45,1),(70,1),(76,1),(119,1)}
        30:{2,4,6,7}:{(14,1),(46,1),(49,1),(77,1),(85,1),(108,1)}
        31:{1,4,6,7}:{(15,1),(47,1),(48,1),(71,1),(84,1),(112,1)}
        32:{1,2,5,6}:{(16,1),(18,1),(50,1),(51,1),(64,1),(121,1)}
        33:{2,4,6}:{(16,1),(19,1),(52,1)}
        34:{1,3,5,7}:{(17,1),(18,1),(50,1),(53,1),(54,1),(136,1)}
        35:{1,2,4,5,7}:{(18,1),(19,1),(51,1),(53,1),(54,1),(55,1),(87,1),(92,1),(93,1),(105,1),(121,1),(128,1)}
        36:{3,4,5,7}:{(19,1),(28,1),(52,1),(54,1),(55,1),(65,1),(101,1)}
        37:{1,2,5,6}:{(20,1),(22,1),(56,1),(57,1),(63,1),(124,1)}
        38:{1,4,6}:{(20,1),(23,1),(58,1)}
        39:{2,3,5,7}:{(21,1),(22,1),(56,1),(59,1),(60,1),(135,1)}
        40:{1,2,4,5,7}:{(22,1),(23,1),(57,1),(59,1),(60,1),(61,1),(94,1),(98,1),(100,1),(105,1),(124,1),(128,1)}
        41:{3,4,5,7}:{(23,1),(27,1),(58,1),(60,1),(61,1),(65,1),(101,1)}
        42:{1,2,4,5,6}:{(24,1),(25,1),(26,1),(51,1),(57,1),(62,1),(63,1),(64,1),(87,1),(94,1),(102,1),(103,1),(104,1),(121,1),(124,1),(128,1)}
        43:{3,5,6}:{(24,1),(27,1),(58,1),(63,1)}
        44:{3,5,6}:{(25,1),(28,1),(52,1),(64,1)}
        45:{3,5,7}:{(26,1),(29,1),(62,1),(65,1)}
        46:{2,5,7}:{(27,1),(30,1),(63,1),(121,1)}
        47:{1,5,7}:{(28,1),(31,1),(64,1),(124,1)}
        48:{1,3,6,7}:{(29,1),(31,1),(66,1),(68,1),(89,1),(96,1)}
        49:{2,3,6,7}:{(29,1),(30,1),(67,1),(68,1),(90,1),(97,1)}
        50:{1,3,5,6}:{(32,1),(34,1),(69,1),(70,1),(106,1)}
        51:{1,2,4,6}:{(32,1),(33,1),(35,1),(69,1),(70,1),(71,1),(108,1),(109,1)}
        52:{3,4,6}:{(33,1),(36,1),(44,1),(70,1),(71,1)}
        53:{1,4,7}:{(34,1),(69,1),(72,1),(139,1)}
        54:{3,5,7}:{(35,1),(70,1),(72,1),(106,1),(119,1),(134,1)}
        55:{1,4,5,7}:{(36,1),(47,1),(71,1),(73,1),(84,1),(116,1)}
        56:{2,3,5,6}:{(37,1),(39,1),(75,1),(76,1),(111,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(40,1),(75,1),(76,1),(77,1),(112,1),(114,1)}
        58:{3,4,6}:{(38,1),(41,1),(43,1),(76,1),(77,1)}
        59:{2,4,7}:{(39,1),(75,1),(78,1),(138,1)}
        60:{3,5,7}:{(40,1),(76,1),(78,1),(111,1),(119,1),(134,1)}
        61:{2,4,5,7}:{(41,1),(46,1),(77,1),(80,1),(85,1),(117,1)}
        62:{3,5,6}:{(42,1),(45,1),(70,1),(76,1),(81,1),(106,1),(111,1),(134,1)}
        63:{2,5,6}:{(43,1),(46,1),(77,1)}
        64:{1,5,6}:{(44,1),(47,1),(71,1)}
        65:{3,4,7}:{(45,1),(81,1),(84,1),(85,1),(119,1)}
        66:{1,3,5,7}:{(45,1),(47,1),(48,1),(82,1),(84,1),(86,1),(119,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(49,1),(83,1),(85,1),(86,1),(119,1)}
        68:{1,2,6,7}:{(48,1),(49,1),(86,1),(109,1),(114,1)}
        69:{1,4,6}:{(50,1),(53,1),(87,1),(88,1)}
        70:{3,6}:{(51,1),(54,1)}
        71:{1,4,6}:{(52,1),(55,1),(64,1),(89,1)}
        72:{3,4,7}:{(53,1),(54,1),(88,1),(92,1),(137,1)}
        73:{1,3,5,7}:{(54,1),(55,1),(89,1),(91,1),(93,1),(120,1)}
        74:{2,3,5,7}:{(54,1),(90,1),(92,1),(93,1),(121,1),(123,1),(135,1)}
        75:{2,4,6}:{(56,1),(59,1),(94,1),(95,1)}
        76:{3,6}:{(57,1),(60,1)}
        77:{2,4,6}:{(58,1),(61,1),(63,1),(97,1)}
        78:{3,4,7}:{(59,1),(60,1),(95,1),(98,1),(137,1)}
        79:{1,3,5,7}:{(60,1),(96,1),(98,1),(100,1),(124,1),(127,1),(136,1)}
        80:{2,3,5,7}:{(60,1),(61,1),(97,1),(99,1),(100,1),(125,1)}
        81:{3,4,6}:{(62,1),(65,1),(101,1),(102,1),(103,1),(129,1),(137,1)}
        82:{1,3,5,6}:{(62,1),(64,1),(66,1),(89,1),(96,1),(102,1),(104,1),(120,1),(124,1),(129,1),(136,1)}
        83:{2,3,5,6}:{(62,1),(63,1),(67,1),(90,1),(97,1),(103,1),(104,1),(121,1),(125,1),(129,1),(135,1)}
        84:{1,4,7}:{(65,1),(66,1),(102,1)}
        85:{2,4,7}:{(65,1),(67,1),(103,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(104,1),(105,1)}
        87:{1,4,5}:{(69,1),(106,1)}
        88:{3,4,6}:{(69,1),(70,1),(72,1),(106,1),(108,1)}
        89:{1,3,6}:{(70,1),(71,1),(73,1),(109,1)}
        90:{2,3,6}:{(70,1),(74,1),(108,1),(109,1)}
        91:{1,3,4,7}:{(72,1),(73,1),(84,1),(107,1),(110,1),(119,1)}
        92:{2,4,7}:{(72,1),(74,1),(108,1),(138,1)}
        93:{1,2,5,7}:{(73,1),(74,1),(109,1),(110,1),(130,1)}
        94:{2,4,5}:{(75,1),(111,1)}
        95:{3,4,6}:{(75,1),(76,1),(78,1),(111,1),(112,1)}
        96:{1,3,6}:{(76,1),(79,1),(112,1),(114,1)}
        97:{2,3,6}:{(76,1),(77,1),(80,1),(114,1)}
        98:{1,4,7}:{(78,1),(79,1),(112,1),(139,1)}
        99:{2,3,4,7}:{(78,1),(80,1),(85,1),(113,1),(115,1),(119,1)}
       100:{1,2,5,7}:{(79,1),(80,1),(114,1),(115,1),(132,1)}
       101:{3,4,5}:{(81,1),(106,1),(111,1),(116,1),(117,1),(134,1)}
       102:{1,4,6}:{(81,1),(82,1),(84,1),(116,1),(139,1)}
       103:{2,4,6}:{(81,1),(83,1),(85,1),(117,1),(138,1)}
       104:{1,2,5,6}:{(82,1),(83,1),(86,1),(109,1),(114,1),(118,1),(130,1),(132,1)}
       105:{1,2,4,7}:{(84,1),(85,1),(86,1),(118,1),(119,1)}
       106:{3,5}:{(87,1),(88,1),(121,1)}
       107:{1,3,4,6}:{(88,1),(89,1),(91,1),(102,1),(120,1),(122,1),(129,1),(137,1)}
       108:{2,4,6}:{(88,1),(90,1),(92,1),(121,1)}
       109:{1,2,6}:{(89,1),(90,1),(93,1)}
       110:{1,2,4,7}:{(91,1),(92,1),(93,1),(122,1),(123,1)}
       111:{3,5}:{(94,1),(95,1),(124,1)}
       112:{1,4,6}:{(95,1),(96,1),(98,1),(124,1)}
       113:{2,3,4,6}:{(95,1),(97,1),(99,1),(103,1),(125,1),(126,1),(129,1),(137,1)}
       114:{1,2,6}:{(96,1),(97,1),(100,1)}
       115:{1,2,4,7}:{(98,1),(99,1),(100,1),(126,1),(127,1)}
       116:{1,4,5}:{(101,1),(102,1),(120,1),(124,1)}
       117:{2,4,5}:{(101,1),(103,1),(121,1),(125,1)}
       118:{1,2,4,6}:{(102,1),(103,1),(104,1),(105,1),(128,1),(129,1)}
       119:{3,7}:{(105,1),(129,1)}
       120:{1,3,5}:{(106,1),(107,1),(116,1),(130,1),(134,1)}
       121:{2,5}:{(106,1),(108,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(110,1),(130,1),(131,1),(138,1)}
       123:{2,3,7}:{(110,1),(119,1),(131,1)}
       124:{1,5}:{(111,1),(112,1)}
       125:{2,3,5}:{(111,1),(113,1),(117,1),(132,1),(134,1)}
       126:{1,2,4,6}:{(112,1),(113,1),(114,1),(115,1),(132,1),(133,1),(139,1)}
       127:{1,3,7}:{(115,1),(119,1),(133,1)}
       128:{1,2,4,5}:{(116,1),(117,1),(118,1),(130,1),(132,1),(134,1),(138,1),(139,1)}
       129:{3,6}:{(118,1),(119,1),(134,1)}
       130:{1,2,5}:{(120,1),(121,1),(122,1),(135,1)}
       131:{2,3,6}:{(122,1),(123,1),(129,1),(135,1)}
       132:{1,2,5}:{(124,1),(125,1),(126,1),(136,1)}
       133:{1,3,6}:{(126,1),(127,1),(129,1),(136,1)}
       134:{3,5}:{(128,1),(129,1),(137,1)}
       135:{2,3,5}:{(130,1),(131,1),(134,1),(138,1)}
       136:{1,3,5}:{(132,1),(133,1),(134,1),(139,1)}
       137:{3,4}:{(134,1),(138,1),(139,1)}
       138:{2,4}:{(135,1),(137,1)}
       139:{1,4}:{(136,1),(137,1)}

1887 :   0:{1,2,4,5,6,7}:{(1,1),(8,1),(9,1),(10,1),(19,1),(29,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(35,1),(46,1)}
         2:{1,2,3,5,6,7}:{(6,1),(10,1),(20,1),(30,1),(55,1),(56,1),(57,1),(58,1),(60,1),(62,1),(102,1),(103,1),(147,1),(163,1),(166,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(30,1),(51,1),(64,1)}
         4:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(25,1),(30,1),(55,1),(60,1)}
         5:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(23,1),(30,1),(56,1),(62,1)}
         6:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(73,1),(74,1),(81,1),(83,1),(128,1),(171,1),(173,1)}
         7:{3,4,5,7}:{(3,1),(15,1),(16,1),(17,1),(46,1)}
         8:{1,4,6,7}:{(3,1),(4,1),(16,1),(73,1),(81,1)}
         9:{2,4,6,7}:{(3,1),(5,1),(17,1),(74,1),(83,1)}
        10:{1,2,5,6,7}:{(4,1),(5,1),(18,1),(40,1),(43,1),(78,1)}
        11:{1,2,4,5,7}:{(6,1),(19,1),(20,1),(52,1),(53,1),(57,1),(149,1)}
        12:{3,4,6,7}:{(6,1),(20,1),(30,1),(51,1),(64,1),(147,1),(148,1),(169,1)}
        13:{2,3,4,6,7}:{(9,1),(23,1),(24,1),(30,1),(47,1),(64,1)}
        14:{1,3,4,6,7}:{(8,1),(25,1),(26,1),(30,1),(49,1),(64,1)}
        15:{3,4,5,6}:{(7,1),(27,1),(28,1),(51,1),(63,1),(170,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(25,1),(27,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(23,1),(28,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(29,1),(30,1),(100,1)}
        19:{1,2,4,5,6}:{(11,1),(35,1),(73,1),(74,1),(78,1)}
        20:{3,5,7}:{(11,1),(12,1),(35,1),(162,1)}
        21:{1,3,4,6,7}:{(12,1),(36,1),(38,1),(41,1),(73,1),(81,1),(114,1),(126,1),(127,1),(157,1),(158,1),(173,1)}
        22:{2,3,4,6,7}:{(12,1),(37,1),(38,1),(44,1),(74,1),(83,1),(121,1),(126,1),(127,1),(152,1),(153,1),(171,1)}
        23:{2,3,5,7}:{(13,1),(17,1),(39,1),(40,1),(46,1)}
        24:{1,2,4,6,7}:{(13,1),(40,1),(41,1),(66,1),(81,1)}
        25:{1,3,5,7}:{(14,1),(16,1),(42,1),(43,1),(46,1)}
        26:{1,2,4,6,7}:{(14,1),(43,1),(44,1),(69,1),(83,1)}
        27:{1,4,5,6}:{(15,1),(16,1),(42,1),(73,1),(174,1)}
        28:{2,4,5,6}:{(15,1),(17,1),(39,1),(74,1),(172,1)}
        29:{1,2,4,5,7}:{(16,1),(17,1),(18,1),(40,1),(43,1),(45,1),(46,1),(81,1),(83,1)}
        30:{3,6,7}:{(18,1),(46,1),(126,1)}
        31:{2,3,4,5,7}:{(23,1),(47,1),(48,1),(53,1),(64,1),(101,1),(107,1),(135,1),(165,1)}
        32:{1,3,4,5,7}:{(25,1),(49,1),(50,1),(52,1),(64,1),(101,1),(107,1),(142,1),(168,1)}
        33:{3,4,5,7}:{(20,1),(51,1),(52,1),(53,1),(64,1),(101,1),(107,1),(169,1),(170,1)}
        34:{1,2,4,5,6,7}:{(19,1),(54,1),(98,1),(99,1),(102,1),(145,1)}
        35:{3,5,6}:{(19,1),(20,1),(51,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(52,1),(55,1),(57,1),(101,1),(137,1),(168,1)}
        37:{2,3,5,7}:{(20,1),(22,1),(53,1),(56,1),(57,1),(101,1),(144,1),(165,1)}
        38:{1,2,4,6,7}:{(21,1),(22,1),(57,1),(58,1),(100,1),(104,1),(136,1),(143,1)}
        39:{2,3,5,6}:{(23,1),(28,1),(47,1),(59,1),(63,1),(165,1)}
        40:{1,2,5,7}:{(23,1),(24,1),(59,1),(60,1)}
        41:{1,3,6,7}:{(24,1),(30,1),(60,1),(88,1)}
        42:{1,3,5,6}:{(25,1),(27,1),(49,1),(61,1),(63,1),(168,1)}
        43:{1,2,5,7}:{(25,1),(26,1),(61,1),(62,1)}
        44:{2,3,6,7}:{(26,1),(30,1),(62,1),(93,1)}
        45:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(59,1),(61,1),(63,1),(100,1),(105,1),(106,1),(149,1)}
        46:{3,5,7}:{(29,1),(30,1),(63,1),(64,1)}
        47:{2,3,4,6}:{(31,1),(39,1),(66,1),(74,1),(84,1),(126,1)}
        48:{1,2,4,5,7}:{(31,1),(40,1),(66,1),(67,1),(81,1),(113,1),(129,1),(154,1)}
        49:{1,3,4,6}:{(32,1),(42,1),(69,1),(73,1),(84,1),(126,1)}
        50:{1,2,4,5,7}:{(32,1),(43,1),(69,1),(70,1),(83,1),(120,1),(130,1),(159,1)}
        51:{3,4,6}:{(33,1),(35,1),(73,1),(74,1),(126,1)}
        52:{1,4,5,7}:{(33,1),(36,1),(73,1),(81,1),(129,1),(173,1),(174,1)}
        53:{2,4,5,7}:{(33,1),(37,1),(74,1),(83,1),(130,1),(171,1),(172,1)}
        54:{3,5,6,7}:{(34,1),(35,1),(72,1),(160,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(73,1),(78,1),(126,1)}
        56:{2,3,5,6}:{(35,1),(37,1),(74,1),(78,1),(126,1)}
        57:{1,2,5,7}:{(36,1),(37,1),(38,1),(78,1),(154,1),(159,1)}
        58:{1,2,3,6,7}:{(38,1),(41,1),(44,1),(79,1),(112,1),(119,1),(126,1),(152,1),(157,1)}
        59:{1,2,5,6}:{(39,1),(40,1),(66,1),(80,1),(154,1)}
        60:{1,3,5,7}:{(40,1),(41,1),(46,1),(80,1),(81,1)}
        61:{1,2,5,6}:{(42,1),(43,1),(69,1),(82,1),(159,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(46,1),(82,1),(83,1)}
        63:{3,5,6}:{(45,1),(46,1),(84,1),(126,1),(162,1)}
        64:{3,4,7}:{(46,1),(81,1),(83,1),(84,1)}
        65:{1,3,4,5,7}:{(52,1),(85,1),(86,1),(89,1),(101,1),(131,1),(137,1),(169,1),(170,1)}
        66:{1,2,4,6}:{(47,1),(48,1),(59,1),(88,1),(105,1)}
        67:{1,3,5,7}:{(48,1),(88,1),(89,1),(101,1),(137,1)}
        68:{2,3,4,5,7}:{(53,1),(90,1),(91,1),(94,1),(101,1),(138,1),(144,1),(169,1),(170,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(61,1),(93,1),(106,1)}
        70:{2,3,5,7}:{(50,1),(93,1),(94,1),(101,1),(144,1)}
        71:{3,4,5,6}:{(51,1),(95,1),(96,1),(97,1),(107,1),(146,1)}
        72:{3,4,6,7}:{(51,1),(54,1),(95,1),(98,1),(99,1),(147,1),(169,1)}
        73:{1,4,6}:{(51,1),(52,1),(55,1)}
        74:{2,4,6}:{(51,1),(53,1),(56,1)}
        75:{1,2,4,5,7}:{(52,1),(53,1),(57,1),(100,1),(101,1),(104,1),(149,1)}
        76:{1,3,5,6,7}:{(54,1),(55,1),(98,1),(102,1),(131,1),(147,1),(166,1)}
        77:{2,3,5,6,7}:{(54,1),(56,1),(99,1),(102,1),(138,1),(147,1),(163,1)}
        78:{1,2,5,6}:{(55,1),(56,1),(57,1),(100,1)}
        79:{1,2,3,5,7}:{(57,1),(58,1),(60,1),(62,1),(101,1),(103,1),(104,1),(163,1),(166,1)}
        80:{1,3,5,6}:{(59,1),(60,1),(63,1),(88,1),(105,1),(137,1)}
        81:{1,4,7}:{(60,1),(64,1),(105,1)}
        82:{2,3,5,6}:{(61,1),(62,1),(63,1),(93,1),(106,1),(144,1)}
        83:{2,4,7}:{(62,1),(64,1),(106,1)}
        84:{3,4,6}:{(63,1),(64,1),(105,1),(106,1),(107,1)}
        85:{1,3,4,6}:{(65,1),(73,1),(108,1),(110,1),(126,1),(161,1)}
        86:{1,2,4,5,7}:{(65,1),(110,1),(111,1),(113,1),(150,1),(154,1),(171,1),(172,1)}
        87:{1,2,3,5,7}:{(67,1),(111,1),(112,1),(113,1),(154,1)}
        88:{1,3,6}:{(66,1),(67,1),(126,1)}
        89:{1,3,4,7}:{(67,1),(81,1),(113,1),(114,1),(127,1)}
        90:{2,3,4,6}:{(68,1),(74,1),(115,1),(117,1),(126,1),(161,1)}
        91:{1,2,4,5,7}:{(68,1),(117,1),(118,1),(120,1),(155,1),(159,1),(173,1),(174,1)}
        92:{1,2,3,5,7}:{(70,1),(118,1),(119,1),(120,1),(159,1)}
        93:{2,3,6}:{(69,1),(70,1),(126,1)}
        94:{2,3,4,7}:{(70,1),(83,1),(120,1),(121,1),(127,1)}
        95:{3,4,5,7}:{(71,1),(72,1),(122,1),(123,1),(160,1)}
        96:{1,4,5,6}:{(71,1),(73,1),(108,1),(122,1),(129,1)}
        97:{2,4,5,6}:{(71,1),(74,1),(115,1),(123,1),(130,1)}
        98:{1,4,6,7}:{(72,1),(73,1),(76,1),(122,1),(173,1)}
        99:{2,4,6,7}:{(72,1),(74,1),(77,1),(123,1),(171,1)}
       100:{1,2,4,6}:{(73,1),(74,1),(75,1),(78,1),(126,1)}
       101:{3,5,7}:{(75,1),(126,1),(127,1),(162,1)}
       102:{1,2,5,6,7}:{(76,1),(77,1),(78,1),(125,1),(150,1),(155,1)}
       103:{1,2,3,5,6}:{(78,1),(79,1),(80,1),(82,1),(112,1),(119,1),(126,1),(128,1),(151,1),(154,1),(156,1),(159,1),(162,1)}
       104:{1,2,4,7}:{(79,1),(81,1),(83,1),(127,1),(128,1),(171,1),(173,1)}
       105:{1,4,6}:{(80,1),(81,1),(84,1),(129,1)}
       106:{2,4,6}:{(82,1),(83,1),(84,1),(130,1)}
       107:{3,4,5}:{(84,1),(129,1),(130,1),(162,1)}
       108:{1,3,5,6}:{(85,1),(96,1),(131,1),(132,1),(137,1),(146,1)}
       109:{1,3,4,6,7}:{(85,1),(98,1),(131,1),(133,1),(147,1),(169,1)}
       110:{1,2,4,6}:{(85,1),(86,1),(132,1),(134,1),(164,1)}
       111:{2,3,5,7}:{(86,1),(101,1),(134,1),(135,1),(165,1)}
       112:{1,2,3,6}:{(87,1),(88,1),(134,1),(136,1)}
       113:{1,2,4,7}:{(87,1),(89,1),(135,1),(136,1)}
       114:{1,3,4,6}:{(88,1),(89,1),(105,1),(136,1),(137,1),(148,1)}
       115:{2,3,5,6}:{(90,1),(97,1),(138,1),(139,1),(144,1),(146,1)}
       116:{2,3,4,6,7}:{(90,1),(99,1),(138,1),(140,1),(147,1),(169,1)}
       117:{1,2,4,6}:{(90,1),(91,1),(139,1),(141,1),(167,1)}
       118:{1,3,5,7}:{(91,1),(101,1),(141,1),(142,1),(168,1)}
       119:{1,2,3,6}:{(92,1),(93,1),(141,1),(143,1)}
       120:{1,2,4,7}:{(92,1),(94,1),(142,1),(143,1)}
       121:{2,3,4,6}:{(93,1),(94,1),(106,1),(143,1),(144,1),(148,1)}
       122:{1,4,5,7}:{(95,1),(96,1),(98,1),(131,1)}
       123:{2,4,5,7}:{(95,1),(97,1),(99,1),(138,1)}
       124:{1,2,4,5,6}:{(96,1),(97,1),(100,1),(132,1),(139,1),(145,1),(146,1),(149,1),(164,1),(167,1)}
       125:{1,2,4,6,7}:{(98,1),(99,1),(100,1),(102,1),(145,1),(147,1)}
       126:{3,6}:{(100,1),(101,1)}
       127:{3,4,7}:{(101,1),(104,1),(148,1)}
       128:{1,2,4,6}:{(103,1),(104,1),(105,1),(106,1),(148,1),(149,1),(164,1),(167,1)}
       129:{1,4,5}:{(105,1),(107,1),(137,1)}
       130:{2,4,5}:{(106,1),(107,1),(144,1)}
       131:{1,3,5,7}:{(108,1),(109,1),(122,1),(150,1),(160,1)}
       132:{1,2,5,6}:{(108,1),(110,1),(150,1),(151,1),(154,1)}
       133:{1,2,4,6,7}:{(109,1),(110,1),(150,1),(152,1),(171,1)}
       134:{2,3,6}:{(110,1),(111,1),(126,1)}
       135:{2,3,4,7}:{(111,1),(113,1),(127,1),(153,1),(171,1)}
       136:{1,2,4,6}:{(112,1),(113,1),(114,1),(153,1),(154,1)}
       137:{1,3,5}:{(114,1),(129,1),(154,1),(162,1)}
       138:{2,3,5,7}:{(115,1),(116,1),(123,1),(155,1),(160,1)}
       139:{1,2,5,6}:{(115,1),(117,1),(155,1),(156,1),(159,1)}
       140:{1,2,4,6,7}:{(116,1),(117,1),(155,1),(157,1),(173,1)}
       141:{1,3,6}:{(117,1),(118,1),(126,1)}
       142:{1,3,4,7}:{(118,1),(120,1),(127,1),(158,1),(173,1)}
       143:{1,2,4,6}:{(119,1),(120,1),(121,1),(158,1),(159,1)}
       144:{2,3,5}:{(121,1),(130,1),(159,1),(162,1)}
       145:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(125,1),(150,1),(155,1),(160,1),(171,1),(173,1)}
       146:{3,5,6}:{(124,1),(126,1),(160,1),(161,1),(162,1)}
       147:{3,6,7}:{(125,1),(126,1),(160,1)}
       148:{3,4,6}:{(126,1),(127,1),(128,1),(162,1)}
       149:{1,2,4,5}:{(128,1),(129,1),(130,1),(154,1),(159,1),(162,1),(172,1),(174,1)}
       150:{1,2,5,7}:{(131,1),(132,1),(133,1),(163,1)}
       151:{2,3,5,6}:{(132,1),(134,1),(146,1),(163,1),(164,1),(165,1)}
       152:{2,3,6,7}:{(133,1),(134,1),(147,1),(163,1)}
       153:{2,3,4,6}:{(134,1),(135,1),(136,1),(148,1),(164,1),(165,1)}
       154:{1,2,5}:{(136,1),(137,1),(165,1)}
       155:{1,2,5,7}:{(138,1),(139,1),(140,1),(166,1)}
       156:{1,3,5,6}:{(139,1),(141,1),(146,1),(166,1),(167,1),(168,1)}
       157:{1,3,6,7}:{(140,1),(141,1),(147,1),(166,1)}
       158:{1,3,4,6}:{(141,1),(142,1),(143,1),(148,1),(167,1),(168,1)}
       159:{1,2,5}:{(143,1),(144,1),(168,1)}
       160:{3,5,7}:{(145,1),(146,1),(147,1),(169,1)}
       161:{3,4,6}:{(146,1),(164,1),(167,1),(169,1),(170,1)}
       162:{3,5}:{(148,1),(149,1)}
       163:{2,3,5,7}:{(150,1),(151,1),(152,1),(160,1),(171,1)}
       164:{2,4,6}:{(151,1),(161,1),(171,1),(172,1)}
       165:{2,3,5}:{(153,1),(154,1),(162,1),(172,1)}
       166:{1,3,5,7}:{(155,1),(156,1),(157,1),(160,1),(173,1)}
       167:{1,4,6}:{(156,1),(161,1),(173,1),(174,1)}
       168:{1,3,5}:{(158,1),(159,1),(162,1),(174,1)}
       169:{3,4,7}:{(160,1),(161,1),(171,1),(173,1)}
       170:{3,4,5}:{(161,1),(162,1),(172,1),(174,1)}
       171:{2,4,7}:{(163,1),(164,1),(169,1)}
       172:{2,4,5}:{(164,1),(165,1),(170,1)}
       173:{1,4,7}:{(166,1),(167,1),(169,1)}
       174:{1,4,5}:{(167,1),(168,1),(170,1)}

1888 :   0:{1,2,3,6,7}:{(2,1),(3,1),(35,1),(71,1),(72,1),(73,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(11,1),(15,1),(35,1),(43,1),(44,1),(45,1),(46,1),(73,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(84,1),(85,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(22,1),(55,1),(56,1),(61,1),(62,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(58,1),(59,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(13,1),(32,1),(35,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(11,1),(94,1),(95,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(13,1),(75,1),(76,1)}
         8:{1,2,4,5}:{(4,1),(15,1),(40,1),(41,1),(45,1)}
         9:{3,4,6}:{(4,1),(13,1),(15,1),(35,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,5,6}:{(6,1),(18,1),(21,1),(82,1),(83,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(21,1),(22,1),(50,1),(51,1),(55,1)}
        13:{3,4,7}:{(7,1),(9,1),(22,1)}
        14:{1,2,4,5,6}:{(8,1),(21,1),(26,1),(27,1),(47,1),(58,1),(59,1),(63,1),(82,1),(83,1)}
        15:{3,5}:{(8,1),(9,1)}
        16:{1,3,4,6}:{(9,1),(23,1),(28,1),(30,1),(53,1),(58,1),(92,1),(93,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(24,1),(29,1),(30,1),(54,1),(59,1),(92,1),(93,1),(105,1)}
        18:{3,5,6}:{(10,1),(11,1),(32,1),(35,1)}
        19:{4,5,7}:{(10,1),(32,1)}
        20:{1,2,5,6,7}:{(11,1),(31,1),(34,1),(94,1),(95,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(32,1),(35,1),(68,1),(69,1),(73,1)}
        22:{3,5,7}:{(12,1),(13,1),(15,1),(35,1)}
        23:{1,3,4,7}:{(13,1),(16,1),(36,1),(38,1),(75,1),(99,1),(101,1)}
        24:{2,3,4,7}:{(13,1),(17,1),(37,1),(38,1),(76,1),(99,1),(101,1)}
        25:{3,4,5}:{(15,1),(39,1),(40,1),(41,1),(78,1)}
        26:{1,2,4,5,7}:{(14,1),(34,1),(42,1),(65,1),(75,1),(76,1),(79,1),(94,1),(95,1)}
        27:{3,5,6}:{(14,1),(15,1),(35,1),(39,1),(42,1)}
        28:{1,3,5}:{(15,1),(16,1),(40,1),(45,1),(78,1),(109,1)}
        29:{2,3,5}:{(15,1),(17,1),(41,1),(45,1),(78,1),(109,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(38,1),(45,1),(46,1),(73,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(20,1),(48,1),(52,1),(81,1)}
        32:{4,6}:{(18,1),(19,1)}
        33:{3,4,5,7}:{(19,1),(22,1),(25,1),(49,1),(50,1),(51,1),(57,1),(81,1),(87,1),(110,1),(111,1)}
        34:{1,2,4,6,7}:{(20,1),(21,1),(26,1),(48,1),(52,1),(84,1),(85,1),(88,1)}
        35:{3,6}:{(21,1),(22,1)}
        36:{1,3,5,7}:{(22,1),(23,1),(28,1),(50,1),(53,1),(55,1),(87,1)}
        37:{2,3,5,7}:{(22,1),(24,1),(29,1),(51,1),(54,1),(55,1),(87,1)}
        38:{1,2,4,7}:{(23,1),(24,1),(30,1),(55,1),(56,1)}
        39:{3,4,6}:{(25,1),(27,1),(57,1),(58,1),(59,1),(92,1)}
        40:{1,4,5}:{(25,1),(28,1),(58,1),(111,1)}
        41:{2,4,5}:{(25,1),(29,1),(59,1),(111,1)}
        42:{3,5,7}:{(26,1),(27,1),(52,1),(57,1)}
        43:{1,3,5,6}:{(27,1),(28,1),(53,1),(58,1),(61,1),(63,1),(82,1),(92,1),(103,1)}
        44:{2,3,5,6}:{(27,1),(29,1),(54,1),(59,1),(62,1),(63,1),(83,1),(92,1),(103,1)}
        45:{1,2,5}:{(28,1),(29,1),(30,1)}
        46:{1,2,3,6}:{(30,1),(56,1),(64,1),(92,1)}
        47:{4,5,6}:{(32,1),(65,1),(66,1),(108,1)}
        48:{4,6,7}:{(31,1),(32,1),(65,1)}
        49:{3,4,6}:{(32,1),(33,1),(35,1),(66,1),(68,1),(69,1),(98,1),(108,1)}
        50:{1,4,5,7}:{(33,1),(36,1),(40,1),(68,1),(75,1),(94,1)}
        51:{2,4,5,7}:{(33,1),(37,1),(41,1),(69,1),(76,1),(95,1)}
        52:{3,6,7}:{(34,1),(35,1),(42,1)}
        53:{1,3,6}:{(35,1),(36,1),(68,1),(73,1),(98,1)}
        54:{2,3,6}:{(35,1),(37,1),(69,1),(73,1),(98,1)}
        55:{1,2,5,7}:{(36,1),(37,1),(38,1),(45,1),(73,1)}
        56:{1,2,3,7}:{(38,1),(46,1),(101,1)}
        57:{3,4,7}:{(39,1),(42,1),(75,1),(76,1),(101,1)}
        58:{1,4,6}:{(39,1),(40,1),(43,1),(75,1),(108,1)}
        59:{2,4,6}:{(39,1),(41,1),(44,1),(76,1),(108,1)}
        60:{1,2,4,5}:{(40,1),(41,1),(45,1),(77,1),(78,1),(80,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(71,1),(75,1),(79,1),(94,1),(101,1),(107,1)}
        62:{2,3,5,7}:{(42,1),(44,1),(72,1),(76,1),(79,1),(95,1),(101,1),(107,1)}
        63:{1,2,5,6}:{(43,1),(44,1),(45,1),(73,1),(77,1),(79,1)}
        64:{1,2,3,5}:{(45,1),(46,1),(78,1),(80,1)}
        65:{4,5,7}:{(47,1),(48,1),(81,1),(110,1)}
        66:{3,5,6}:{(47,1),(49,1),(81,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(48,1),(49,1),(52,1),(57,1),(81,1),(84,1),(85,1),(104,1),(110,1)}
        68:{1,4,6}:{(49,1),(50,1),(53,1),(82,1)}
        69:{2,4,6}:{(49,1),(51,1),(54,1),(83,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(55,1),(60,1),(86,1),(87,1),(90,1),(91,1),(102,1),(106,1),(110,1),(111,1)}
        71:{1,3,6,7}:{(52,1),(53,1),(61,1),(84,1),(88,1),(104,1)}
        72:{2,3,6,7}:{(52,1),(54,1),(62,1),(85,1),(88,1),(104,1)}
        73:{1,2,6}:{(53,1),(54,1),(55,1)}
        74:{1,2,3,5,7}:{(55,1),(56,1),(64,1),(87,1),(89,1),(90,1),(106,1)}
        75:{1,4,7}:{(57,1),(58,1),(61,1),(110,1)}
        76:{2,4,7}:{(57,1),(59,1),(62,1),(110,1)}
        77:{1,2,4,6}:{(58,1),(59,1),(60,1),(63,1),(91,1),(92,1)}
        78:{3,5}:{(60,1),(92,1),(93,1)}
        79:{1,2,5,7}:{(61,1),(62,1),(63,1),(88,1),(91,1)}
        80:{1,2,4}:{(64,1),(93,1)}
        81:{3,5,7}:{(65,1),(66,1),(67,1),(94,1),(95,1)}
        82:{1,5,6}:{(66,1),(68,1),(94,1)}
        83:{2,5,6}:{(66,1),(69,1),(95,1)}
        84:{1,4,6,7}:{(67,1),(68,1),(71,1),(75,1),(94,1)}
        85:{2,4,6,7}:{(67,1),(69,1),(72,1),(76,1),(95,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(70,1),(73,1),(96,1),(98,1),(108,1)}
        87:{3,5,7}:{(70,1),(78,1),(98,1),(99,1),(101,1),(109,1)}
        88:{1,2,6,7}:{(71,1),(72,1),(73,1),(79,1)}
        89:{1,2,3,6}:{(73,1),(74,1),(98,1),(100,1)}
        90:{1,2,4,7}:{(74,1),(80,1),(99,1),(100,1)}
        91:{1,2,4,7}:{(75,1),(76,1),(77,1),(79,1),(101,1)}
        92:{3,6}:{(77,1),(78,1),(101,1)}
        93:{3,4}:{(78,1),(80,1)}
        94:{1,5,7}:{(81,1),(82,1),(84,1)}
        95:{2,5,7}:{(81,1),(83,1),(85,1)}
        96:{1,2,5,6}:{(82,1),(83,1),(86,1),(102,1),(103,1),(106,1)}
        97:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(102,1),(104,1),(110,1)}
        98:{3,6}:{(86,1),(87,1)}
        99:{3,4,7}:{(87,1),(90,1),(93,1),(105,1),(110,1)}
       100:{1,2,4,6}:{(89,1),(90,1),(105,1),(106,1)}
       101:{3,7}:{(91,1),(92,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(97,1),(107,1)}
       103:{3,5,6}:{(96,1),(98,1),(107,1),(108,1),(109,1)}
       104:{3,6,7}:{(97,1),(98,1),(101,1),(107,1)}
       105:{3,4,6}:{(98,1),(99,1),(100,1),(108,1),(109,1)}
       106:{1,2,5}:{(100,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(103,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1889 :   0:{1,2,3,6,7}:{(3,1),(4,1),(47,1),(48,1),(57,1),(88,1)}
         1:{1,2,3,5,6}:{(4,1),(5,1),(19,1),(20,1),(21,1),(24,1),(57,1),(61,1),(62,1),(88,1)}
         2:{1,2,4,5,6}:{(8,1),(9,1),(12,1),(35,1),(36,1),(37,1),(38,1),(63,1),(91,1),(92,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(10,1),(11,1),(38,1),(65,1),(66,1)}
         4:{1,2,3,5,7}:{(0,1),(1,1),(10,1),(11,1),(32,1),(33,1),(39,1),(76,1),(77,1)}
         5:{1,2,4,6}:{(1,1),(11,1),(12,1),(13,1),(35,1),(36,1)}
         6:{1,2,5,6,7}:{(14,1),(15,1),(21,1),(80,1),(81,1)}
         7:{3,4,6,7}:{(3,1),(16,1),(23,1),(49,1),(57,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(17,1),(45,1),(51,1),(52,1),(53,1),(80,1),(81,1)}
         9:{3,5,6}:{(2,1),(17,1),(18,1),(24,1),(57,1)}
        10:{1,2,5,7}:{(3,1),(16,1),(21,1),(80,1),(81,1)}
        11:{1,2,4,7}:{(4,1),(5,1),(23,1),(51,1),(52,1)}
        12:{1,2,4,5}:{(5,1),(24,1),(54,1),(55,1),(61,1)}
        13:{3,4,6}:{(5,1),(23,1),(24,1),(57,1)}
        14:{3,5,6,7}:{(6,1),(27,1),(28,1),(29,1),(64,1)}
        15:{1,2,4,6,7}:{(6,1),(8,1),(27,1),(28,1),(38,1),(65,1),(66,1),(67,1)}
        16:{3,5,7}:{(7,1),(10,1),(29,1),(30,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(31,1)}
        18:{3,4,6}:{(9,1),(31,1),(34,1),(35,1),(36,1),(73,1)}
        19:{1,3,5,6}:{(9,1),(32,1),(35,1),(37,1),(42,1),(73,1),(74,1),(91,1),(105,1)}
        20:{2,3,5,6}:{(9,1),(33,1),(36,1),(37,1),(43,1),(73,1),(75,1),(92,1),(105,1)}
        21:{1,2,5,6}:{(10,1),(29,1),(38,1),(91,1),(92,1)}
        22:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(30,1),(38,1),(39,1),(69,1),(70,1),(76,1)}
        23:{3,4,7}:{(11,1),(13,1),(39,1)}
        24:{3,5}:{(12,1),(13,1)}
        25:{1,3,4,6}:{(13,1),(35,1),(40,1),(42,1),(44,1),(73,1),(74,1),(97,1),(107,1)}
        26:{2,3,4,6}:{(13,1),(36,1),(41,1),(43,1),(44,1),(73,1),(75,1),(97,1),(107,1)}
        27:{4,6,7}:{(14,1),(45,1),(49,1)}
        28:{3,6,7}:{(15,1),(17,1),(57,1)}
        29:{3,5,6}:{(16,1),(21,1),(49,1),(57,1)}
        30:{4,5,7}:{(16,1),(49,1)}
        31:{3,4,7}:{(17,1),(18,1),(51,1),(52,1),(86,1)}
        32:{1,3,5,7}:{(17,1),(19,1),(47,1),(51,1),(53,1),(80,1),(86,1),(101,1)}
        33:{2,3,5,7}:{(17,1),(20,1),(48,1),(52,1),(53,1),(81,1),(86,1),(101,1)}
        34:{3,4,5}:{(18,1),(24,1),(54,1),(55,1),(87,1)}
        35:{1,4,6}:{(18,1),(19,1),(51,1),(54,1),(109,1)}
        36:{2,4,6}:{(18,1),(20,1),(52,1),(55,1),(109,1)}
        37:{1,2,5,6}:{(19,1),(20,1),(53,1),(56,1),(61,1),(88,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(49,1),(57,1),(83,1),(84,1),(88,1)}
        39:{3,5,7}:{(22,1),(23,1),(24,1),(57,1)}
        40:{1,3,4,7}:{(23,1),(25,1),(51,1),(58,1),(60,1),(86,1),(103,1)}
        41:{2,3,4,7}:{(23,1),(26,1),(52,1),(59,1),(60,1),(86,1),(103,1)}
        42:{1,3,5}:{(24,1),(25,1),(54,1),(61,1),(87,1),(110,1)}
        43:{2,3,5}:{(24,1),(26,1),(55,1),(61,1),(87,1),(110,1)}
        44:{1,2,4,6}:{(25,1),(26,1),(60,1),(61,1),(62,1),(88,1),(90,1)}
        45:{4,5,7}:{(27,1),(63,1),(64,1),(106,1)}
        46:{3,4,6,7}:{(27,1),(28,1),(31,1),(64,1),(65,1),(66,1),(68,1),(94,1),(106,1)}
        47:{1,3,6,7}:{(28,1),(32,1),(65,1),(67,1),(74,1),(94,1)}
        48:{2,3,6,7}:{(28,1),(33,1),(66,1),(67,1),(75,1),(94,1)}
        49:{4,6}:{(29,1),(30,1)}
        50:{3,4,5,7}:{(30,1),(31,1),(34,1),(39,1),(64,1),(68,1),(69,1),(70,1),(96,1),(106,1),(111,1)}
        51:{1,4,7}:{(31,1),(32,1),(35,1),(106,1)}
        52:{2,4,7}:{(31,1),(33,1),(36,1),(106,1)}
        53:{1,2,5,7}:{(32,1),(33,1),(37,1),(67,1),(71,1)}
        54:{1,4,5}:{(34,1),(35,1),(42,1),(111,1)}
        55:{2,4,5}:{(34,1),(36,1),(43,1),(111,1)}
        56:{1,2,4,6}:{(35,1),(36,1),(37,1),(71,1),(72,1),(73,1)}
        57:{3,6}:{(38,1),(39,1)}
        58:{1,3,5,7}:{(39,1),(40,1),(42,1),(69,1),(74,1),(76,1),(96,1)}
        59:{2,3,5,7}:{(39,1),(41,1),(43,1),(70,1),(75,1),(76,1),(96,1)}
        60:{1,2,4,7}:{(40,1),(41,1),(44,1),(76,1),(77,1)}
        61:{1,2,5}:{(42,1),(43,1),(44,1)}
        62:{1,2,3,6}:{(44,1),(73,1),(77,1),(78,1)}
        63:{4,5,6}:{(45,1),(49,1),(79,1),(109,1)}
        64:{3,5,7}:{(45,1),(46,1),(79,1),(80,1),(81,1)}
        65:{1,4,6,7}:{(46,1),(47,1),(51,1),(80,1),(83,1)}
        66:{2,4,6,7}:{(46,1),(48,1),(52,1),(81,1),(84,1)}
        67:{1,2,6,7}:{(47,1),(48,1),(53,1),(88,1)}
        68:{3,4,6}:{(49,1),(50,1),(57,1),(79,1),(83,1),(84,1),(102,1),(109,1)}
        69:{1,4,5,7}:{(50,1),(51,1),(54,1),(58,1),(80,1),(83,1)}
        70:{2,4,5,7}:{(50,1),(52,1),(55,1),(59,1),(81,1),(84,1)}
        71:{1,2,4,7}:{(51,1),(52,1),(53,1),(56,1),(86,1)}
        72:{1,2,4,5}:{(54,1),(55,1),(56,1),(61,1),(87,1),(90,1)}
        73:{3,6}:{(56,1),(86,1),(87,1)}
        74:{1,3,6}:{(57,1),(58,1),(83,1),(88,1),(102,1)}
        75:{2,3,6}:{(57,1),(59,1),(84,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(58,1),(59,1),(60,1),(61,1),(88,1)}
        77:{1,2,3,7}:{(60,1),(62,1),(86,1)}
        78:{1,2,3,5}:{(61,1),(62,1),(87,1),(90,1)}
        79:{3,5,6}:{(63,1),(64,1),(68,1),(91,1),(92,1)}
        80:{1,5,7}:{(64,1),(65,1),(91,1)}
        81:{2,5,7}:{(64,1),(66,1),(92,1)}
        82:{1,2,4,6,7}:{(65,1),(66,1),(67,1),(71,1),(93,1),(94,1),(95,1),(106,1)}
        83:{1,4,6}:{(68,1),(69,1),(74,1),(91,1)}
        84:{2,4,6}:{(68,1),(70,1),(75,1),(92,1)}
        85:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(72,1),(76,1),(93,1),(95,1),(96,1),(99,1),(106,1),(108,1),(111,1)}
        86:{3,7}:{(71,1),(73,1)}
        87:{3,5}:{(72,1),(73,1),(97,1)}
        88:{1,2,6}:{(74,1),(75,1),(76,1)}
        89:{1,2,3,5,7}:{(76,1),(77,1),(78,1),(96,1),(98,1),(99,1),(108,1)}
        90:{1,2,4}:{(78,1),(97,1)}
        91:{1,5,6}:{(79,1),(80,1),(83,1)}
        92:{2,5,6}:{(79,1),(81,1),(84,1)}
        93:{1,2,5,7}:{(80,1),(81,1),(82,1),(100,1),(101,1)}
        94:{3,6,7}:{(82,1),(86,1),(101,1),(102,1)}
        95:{1,2,4,6}:{(83,1),(84,1),(85,1),(88,1),(100,1),(102,1),(109,1)}
        96:{3,5,7}:{(85,1),(86,1),(87,1),(102,1),(103,1),(110,1)}
        97:{3,4}:{(87,1),(90,1)}
        98:{1,2,3,6}:{(88,1),(89,1),(102,1),(104,1)}
        99:{1,2,4,7}:{(89,1),(90,1),(103,1),(104,1)}
       100:{1,2,5,6}:{(91,1),(92,1),(93,1),(95,1),(105,1),(108,1)}
       101:{3,5,7}:{(93,1),(94,1),(105,1),(106,1)}
       102:{3,6}:{(95,1),(96,1)}
       103:{3,4,7}:{(96,1),(97,1),(99,1),(106,1),(107,1)}
       104:{1,2,4,6}:{(98,1),(99,1),(107,1),(108,1)}
       105:{3,5,6}:{(100,1),(101,1),(102,1),(109,1),(110,1)}
       106:{4,7}:{(101,1),(109,1)}
       107:{3,4,6}:{(102,1),(103,1),(104,1),(109,1),(110,1)}
       108:{1,2,5}:{(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5}:{(107,1),(108,1),(111,1)}
       111:{4,5}:{(109,1),(110,1)}

1890 :   0:{1,3,4,5,7}:{(2,1),(3,1),(21,1),(36,1),(87,1),(129,1),(134,1),(143,1),(180,1),(182,1)}
         1:{2,3,4,5,7}:{(4,1),(5,1),(24,1),(31,1),(83,1),(130,1),(133,1),(145,1),(180,1),(184,1)}
         2:{1,3,4,6}:{(0,1),(11,1),(12,1),(113,1),(162,1),(199,1),(200,1)}
         3:{1,2,4,5,7}:{(0,1),(12,1),(13,1),(45,1),(52,1),(100,1),(111,1),(114,1)}
         4:{2,3,4,6}:{(1,1),(15,1),(16,1),(116,1),(159,1),(199,1),(201,1)}
         5:{1,2,4,5,7}:{(1,1),(16,1),(17,1),(49,1),(52,1),(104,1),(111,1),(117,1)}
         6:{1,4,5,6,7}:{(18,1),(61,1),(176,1)}
         7:{2,4,5,6,7}:{(19,1),(65,1),(173,1)}
         8:{1,3,4,6,7}:{(2,1),(21,1),(22,1),(61,1),(119,1),(129,1),(171,1)}
         9:{2,3,4,6,7}:{(4,1),(24,1),(25,1),(65,1),(122,1),(133,1),(174,1)}
        10:{3,4,5,6}:{(20,1),(27,1),(28,1),(81,1),(145,1),(185,1)}
        11:{1,3,5,6}:{(2,1),(21,1),(27,1),(29,1),(81,1),(87,1),(204,1)}
        12:{1,2,4,6}:{(2,1),(3,1),(29,1),(30,1),(82,1)}
        13:{2,3,5,7}:{(3,1),(30,1),(31,1),(83,1),(180,1)}
        14:{3,4,5,6}:{(23,1),(32,1),(33,1),(85,1),(143,1),(183,1)}
        15:{2,3,5,6}:{(4,1),(24,1),(33,1),(34,1),(83,1),(85,1),(205,1)}
        16:{1,2,4,6}:{(4,1),(5,1),(34,1),(35,1),(86,1)}
        17:{1,3,5,7}:{(5,1),(35,1),(36,1),(87,1),(180,1)}
        18:{3,5,6,7}:{(6,1),(37,1),(39,1),(195,1)}
        19:{3,5,6,7}:{(7,1),(40,1),(41,1),(193,1)}
        20:{3,4,5,7}:{(10,1),(37,1),(43,1),(44,1),(99,1)}
        21:{1,3,5,7}:{(8,1),(11,1),(43,1),(45,1),(99,1),(192,1)}
        22:{1,2,4,6,7}:{(8,1),(12,1),(45,1),(46,1),(100,1)}
        23:{3,4,5,7}:{(14,1),(40,1),(47,1),(48,1),(103,1)}
        24:{2,3,5,7}:{(9,1),(15,1),(48,1),(49,1),(103,1),(194,1)}
        25:{1,2,4,6,7}:{(9,1),(16,1),(49,1),(50,1),(104,1)}
        26:{1,2,3,5,7}:{(13,1),(17,1),(51,1),(52,1),(111,1)}
        27:{1,4,5,6}:{(10,1),(11,1),(43,1),(117,1),(162,1)}
        28:{2,4,5,6}:{(10,1),(44,1),(53,1),(170,1),(201,1)}
        29:{1,2,5,6}:{(11,1),(12,1),(45,1),(55,1),(111,1)}
        30:{2,3,6}:{(12,1),(13,1),(199,1)}
        31:{2,3,4,7}:{(13,1),(52,1),(56,1),(100,1),(154,1)}
        32:{1,4,5,6}:{(14,1),(47,1),(57,1),(169,1),(200,1)}
        33:{2,4,5,6}:{(14,1),(15,1),(48,1),(114,1),(159,1)}
        34:{1,2,5,6}:{(15,1),(16,1),(49,1),(59,1),(111,1)}
        35:{1,3,6}:{(16,1),(17,1),(199,1)}
        36:{1,3,4,7}:{(17,1),(52,1),(60,1),(104,1),(154,1)}
        37:{3,4,6,7}:{(18,1),(20,1),(61,1),(62,1),(119,1),(185,1)}
        38:{1,3,5,6,7}:{(18,1),(21,1),(61,1),(63,1),(119,1),(135,1)}
        39:{2,5,6,7}:{(18,1),(62,1),(205,1)}
        40:{3,4,6,7}:{(19,1),(23,1),(64,1),(65,1),(122,1),(183,1)}
        41:{1,5,6,7}:{(19,1),(64,1),(204,1)}
        42:{2,3,5,6,7}:{(19,1),(24,1),(65,1),(66,1),(122,1),(131,1)}
        43:{1,4,5,7}:{(20,1),(21,1),(27,1),(61,1)}
        44:{2,4,5,7}:{(20,1),(28,1),(62,1),(68,1)}
        45:{1,2,5,7}:{(21,1),(22,1),(29,1),(70,1)}
        46:{2,3,6,7}:{(22,1),(30,1),(70,1),(119,1)}
        47:{1,4,5,7}:{(23,1),(32,1),(64,1),(72,1)}
        48:{2,4,5,7}:{(23,1),(24,1),(33,1),(65,1)}
        49:{1,2,5,7}:{(24,1),(25,1),(34,1),(74,1)}
        50:{1,3,6,7}:{(25,1),(35,1),(74,1),(122,1)}
        51:{1,2,3,6}:{(26,1),(30,1),(35,1),(79,1)}
        52:{1,2,4,7}:{(26,1),(31,1),(36,1),(79,1)}
        53:{2,3,5,6}:{(28,1),(68,1),(77,1),(80,1),(81,1),(190,1),(207,1)}
        54:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(69,1),(80,1),(81,1),(82,1),(141,1),(142,1),(173,1),(181,1),(204,1)}
        55:{2,3,5,6}:{(29,1),(30,1),(70,1),(81,1),(82,1),(83,1)}
        56:{2,3,4,6}:{(30,1),(31,1),(79,1),(82,1),(83,1),(140,1)}
        57:{1,3,5,6}:{(32,1),(72,1),(76,1),(84,1),(85,1),(191,1),(208,1)}
        58:{1,2,4,5,6}:{(32,1),(33,1),(34,1),(73,1),(84,1),(85,1),(86,1),(141,1),(144,1),(176,1),(181,1),(205,1)}
        59:{1,3,5,6}:{(34,1),(35,1),(74,1),(85,1),(86,1),(87,1)}
        60:{1,3,4,6}:{(35,1),(36,1),(79,1),(86,1),(87,1),(140,1)}
        61:{1,4,6,7}:{(37,1),(38,1),(43,1),(162,1)}
        62:{2,4,6,7}:{(37,1),(39,1),(44,1),(88,1),(201,1)}
        63:{1,2,5,6,7}:{(38,1),(39,1),(45,1),(89,1),(90,1),(156,1),(192,1)}
        64:{1,4,6,7}:{(40,1),(41,1),(47,1),(91,1),(200,1)}
        65:{2,4,6,7}:{(40,1),(42,1),(48,1),(159,1)}
        66:{1,2,5,6,7}:{(41,1),(42,1),(49,1),(92,1),(93,1),(156,1),(194,1)}
        67:{1,2,3,6,7}:{(46,1),(50,1),(51,1),(96,1),(97,1),(146,1),(149,1),(199,1),(209,1)}
        68:{2,3,5,7}:{(44,1),(53,1),(88,1),(95,1),(98,1),(99,1)}
        69:{1,2,4,5,7}:{(43,1),(44,1),(45,1),(54,1),(89,1),(98,1),(99,1),(100,1),(148,1),(157,1),(192,1)}
        70:{2,3,5,7}:{(45,1),(46,1),(55,1),(99,1),(100,1)}
        71:{2,3,4,6,7}:{(46,1),(56,1),(97,1),(100,1),(101,1),(147,1),(154,1),(159,1),(199,1)}
        72:{1,3,5,7}:{(47,1),(57,1),(91,1),(94,1),(102,1),(103,1)}
        73:{1,2,4,5,7}:{(47,1),(48,1),(49,1),(58,1),(92,1),(102,1),(103,1),(104,1),(151,1),(160,1),(194,1)}
        74:{1,3,5,7}:{(49,1),(50,1),(59,1),(103,1),(104,1)}
        75:{1,3,4,6,7}:{(50,1),(60,1),(97,1),(104,1),(105,1),(150,1),(154,1),(162,1),(199,1)}
        76:{1,3,4,6}:{(57,1),(94,1),(106,1),(108,1),(116,1)}
        77:{2,3,4,6}:{(53,1),(95,1),(107,1),(109,1),(113,1)}
        78:{1,2,3,5,6}:{(51,1),(55,1),(59,1),(96,1),(110,1),(111,1),(112,1),(115,1),(156,1),(165,1),(168,1),(199,1),(203,1),(209,1)}
        79:{1,2,4,6}:{(51,1),(52,1),(56,1),(60,1),(111,1)}
        80:{1,2,5,6}:{(53,1),(98,1),(109,1),(112,1),(203,1),(209,1)}
        81:{3,5,6}:{(54,1),(99,1),(113,1),(168,1),(199,1)}
        82:{2,4,6}:{(55,1),(100,1),(113,1),(114,1)}
        83:{2,3,5}:{(56,1),(111,1),(114,1),(168,1)}
        84:{1,2,5,6}:{(57,1),(102,1),(108,1),(115,1),(203,1),(209,1)}
        85:{3,5,6}:{(58,1),(103,1),(116,1),(168,1),(199,1)}
        86:{1,4,6}:{(59,1),(104,1),(116,1),(117,1)}
        87:{1,3,5}:{(60,1),(111,1),(117,1),(168,1)}
        88:{2,3,6,7}:{(62,1),(68,1),(118,1),(119,1),(207,1)}
        89:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(69,1),(118,1),(119,1),(120,1),(171,1),(181,1)}
        90:{2,3,5,6,7}:{(63,1),(70,1),(119,1),(120,1),(131,1),(172,1)}
        91:{1,3,6,7}:{(64,1),(72,1),(121,1),(122,1),(208,1)}
        92:{1,2,4,6,7}:{(64,1),(65,1),(66,1),(73,1),(121,1),(122,1),(123,1),(174,1),(181,1)}
        93:{1,3,5,6,7}:{(66,1),(74,1),(122,1),(123,1),(135,1),(175,1)}
        94:{1,3,4,7}:{(72,1),(76,1),(124,1),(133,1)}
        95:{2,3,4,7}:{(68,1),(77,1),(125,1),(129,1)}
        96:{1,2,3,5,7}:{(67,1),(70,1),(74,1),(78,1),(126,1),(127,1),(128,1),(132,1),(177,1),(180,1),(206,1)}
        97:{1,2,4,6,7}:{(67,1),(71,1),(75,1),(79,1),(126,1),(127,1),(171,1),(174,1),(181,1)}
        98:{1,2,5,7}:{(68,1),(80,1),(118,1),(125,1),(128,1)}
        99:{3,5,7}:{(69,1),(81,1),(119,1),(129,1)}
       100:{2,4,7}:{(70,1),(82,1),(129,1)}
       101:{2,3,5,7}:{(71,1),(83,1),(127,1),(130,1),(131,1),(172,1),(180,1)}
       102:{1,2,5,7}:{(72,1),(84,1),(121,1),(124,1),(132,1)}
       103:{3,5,7}:{(73,1),(85,1),(122,1),(133,1)}
       104:{1,4,7}:{(74,1),(86,1),(133,1)}
       105:{1,3,5,7}:{(75,1),(87,1),(127,1),(134,1),(135,1),(175,1),(180,1)}
       106:{1,3,4,5}:{(76,1),(136,1),(145,1),(188,1),(191,1)}
       107:{2,3,4,5}:{(77,1),(137,1),(143,1),(187,1),(190,1)}
       108:{1,2,4,6}:{(76,1),(84,1),(124,1),(136,1),(138,1),(144,1)}
       109:{1,2,4,6}:{(77,1),(80,1),(125,1),(137,1),(139,1),(142,1)}
       110:{1,2,4,6}:{(78,1),(82,1),(86,1),(126,1),(140,1),(141,1),(142,1),(144,1)}
       111:{1,2,5}:{(79,1),(83,1),(87,1)}
       112:{1,3,5,6}:{(80,1),(81,1),(128,1),(139,1),(142,1),(191,1),(204,1),(208,1)}
       113:{3,4,6}:{(81,1),(82,1),(129,1),(142,1),(143,1)}
       114:{2,4,5}:{(82,1),(83,1),(143,1)}
       115:{2,3,5,6}:{(84,1),(85,1),(132,1),(138,1),(144,1),(190,1),(205,1),(207,1)}
       116:{3,4,6}:{(85,1),(86,1),(133,1),(144,1),(145,1)}
       117:{1,4,5}:{(86,1),(87,1),(145,1)}
       118:{1,2,6,7}:{(88,1),(98,1),(146,1),(209,1)}
       119:{3,6,7}:{(89,1),(99,1),(199,1)}
       120:{2,4,6,7}:{(90,1),(100,1),(147,1),(148,1),(159,1)}
       121:{1,2,6,7}:{(91,1),(102,1),(149,1),(209,1)}
       122:{3,6,7}:{(92,1),(103,1),(199,1)}
       123:{1,4,6,7}:{(93,1),(104,1),(150,1),(151,1),(162,1)}
       124:{1,2,4,7}:{(94,1),(102,1),(108,1),(152,1),(160,1)}
       125:{1,2,4,7}:{(95,1),(98,1),(109,1),(153,1),(157,1)}
       126:{1,2,4,7}:{(96,1),(100,1),(104,1),(110,1),(154,1),(157,1),(160,1)}
       127:{1,2,5,7}:{(97,1),(101,1),(105,1),(111,1),(156,1),(192,1),(194,1)}
       128:{1,3,5,7}:{(98,1),(99,1),(112,1),(146,1),(153,1),(157,1),(192,1)}
       129:{3,4,7}:{(99,1),(100,1),(113,1),(157,1)}
       130:{2,4,5,7}:{(100,1),(101,1),(114,1),(158,1),(159,1)}
       131:{2,3,5,6}:{(101,1),(156,1),(159,1),(193,1),(199,1)}
       132:{2,3,5,7}:{(102,1),(103,1),(115,1),(149,1),(152,1),(160,1),(194,1)}
       133:{3,4,7}:{(103,1),(104,1),(116,1),(160,1)}
       134:{1,4,5,7}:{(104,1),(105,1),(117,1),(161,1),(162,1)}
       135:{1,3,5,6}:{(105,1),(156,1),(162,1),(195,1),(199,1)}
       136:{1,2,4,5}:{(106,1),(108,1),(163,1),(170,1),(202,1),(203,1)}
       137:{1,2,4,5}:{(107,1),(109,1),(164,1),(169,1),(202,1),(203,1)}
       138:{2,3,6}:{(108,1),(152,1),(163,1)}
       139:{1,3,6}:{(109,1),(153,1),(164,1)}
       140:{3,4,6}:{(110,1),(154,1),(168,1),(199,1)}
       141:{1,2,4,5}:{(110,1),(111,1),(114,1),(117,1),(168,1),(169,1),(170,1),(203,1)}
       142:{1,4,6}:{(112,1),(113,1),(157,1),(169,1)}
       143:{3,4,5}:{(113,1),(114,1),(168,1),(169,1)}
       144:{2,4,6}:{(115,1),(116,1),(160,1),(170,1)}
       145:{3,4,5}:{(116,1),(117,1),(168,1),(170,1)}
       146:{1,3,6,7}:{(118,1),(119,1),(128,1),(171,1),(208,1)}
       147:{3,4,6,7}:{(119,1),(120,1),(129,1),(171,1),(172,1),(183,1)}
       148:{2,4,5,7}:{(120,1),(172,1),(173,1)}
       149:{2,3,6,7}:{(121,1),(122,1),(132,1),(174,1),(207,1)}
       150:{3,4,6,7}:{(122,1),(123,1),(133,1),(174,1),(175,1),(185,1)}
       151:{1,4,5,7}:{(123,1),(175,1),(176,1)}
       152:{2,3,7}:{(124,1),(138,1)}
       153:{1,3,7}:{(125,1),(139,1)}
       154:{3,4,7}:{(126,1),(140,1),(180,1)}
       155:{1,2,4,5,7}:{(126,1),(127,1),(130,1),(134,1),(141,1),(180,1),(181,1),(182,1),(184,1),(206,1)}
       156:{1,2,5,6}:{(127,1),(131,1),(135,1),(181,1),(204,1),(205,1)}
       157:{1,4,7}:{(128,1),(129,1),(142,1)}
       158:{3,4,5,7}:{(129,1),(130,1),(143,1),(172,1),(180,1),(182,1),(183,1)}
       159:{2,4,6}:{(130,1),(131,1),(183,1)}
       160:{2,4,7}:{(132,1),(133,1),(144,1)}
       161:{3,4,5,7}:{(133,1),(134,1),(145,1),(175,1),(180,1),(184,1),(185,1)}
       162:{1,4,6}:{(134,1),(135,1),(185,1)}
       163:{2,3,5}:{(136,1),(138,1),(187,1)}
       164:{1,3,5}:{(137,1),(139,1),(188,1)}
       165:{1,2,3,6}:{(138,1),(139,1),(177,1),(186,1),(189,1)}
       166:{2,3,4,6}:{(138,1),(140,1),(144,1),(178,1),(187,1),(189,1),(190,1),(207,1)}
       167:{1,3,4,6}:{(139,1),(140,1),(142,1),(179,1),(188,1),(189,1),(191,1),(208,1)}
       168:{3,5}:{(140,1),(141,1)}
       169:{1,4,5}:{(142,1),(143,1),(191,1)}
       170:{2,4,5}:{(144,1),(145,1),(190,1)}
       171:{1,4,6,7}:{(146,1),(147,1),(157,1),(192,1),(200,1)}
       172:{3,5,7}:{(147,1),(148,1),(192,1),(193,1)}
       173:{2,4,5,6}:{(148,1),(159,1),(193,1)}
       174:{2,4,6,7}:{(149,1),(150,1),(160,1),(194,1),(201,1)}
       175:{3,5,7}:{(150,1),(151,1),(194,1),(195,1)}
       176:{1,4,5,6}:{(151,1),(162,1),(195,1)}
       177:{1,2,3,7}:{(152,1),(153,1),(165,1),(196,1)}
       178:{2,3,4,7}:{(152,1),(154,1),(160,1),(166,1),(196,1),(197,1)}
       179:{1,3,4,7}:{(153,1),(154,1),(157,1),(167,1),(196,1),(198,1)}
       180:{3,5,7}:{(154,1),(155,1),(168,1),(199,1)}
       181:{1,2,4,6}:{(155,1),(156,1),(159,1),(162,1),(199,1),(200,1),(201,1),(209,1)}
       182:{1,4,5,7}:{(157,1),(158,1),(169,1),(192,1),(198,1),(200,1)}
       183:{3,4,6}:{(158,1),(159,1),(193,1),(199,1),(200,1)}
       184:{2,4,5,7}:{(160,1),(161,1),(170,1),(194,1),(197,1),(201,1)}
       185:{3,4,6}:{(161,1),(162,1),(195,1),(199,1),(201,1)}
       186:{1,2,3,5}:{(163,1),(164,1),(165,1),(202,1),(203,1)}
       187:{2,3,4}:{(163,1),(202,1)}
       188:{1,3,4}:{(164,1),(202,1)}
       189:{1,2,4,6}:{(165,1),(166,1),(167,1),(196,1),(202,1),(203,1),(209,1)}
       190:{2,3,5}:{(166,1),(168,1),(170,1),(203,1)}
       191:{1,3,5}:{(167,1),(168,1),(169,1),(203,1)}
       192:{1,5,7}:{(171,1),(172,1),(204,1)}
       193:{3,5,6}:{(172,1),(173,1),(183,1),(204,1)}
       194:{2,5,7}:{(174,1),(175,1),(205,1)}
       195:{3,5,6}:{(175,1),(176,1),(185,1),(205,1)}
       196:{1,2,4,7}:{(177,1),(178,1),(179,1),(189,1),(206,1)}
       197:{2,3,5,7}:{(178,1),(180,1),(184,1),(190,1),(206,1),(207,1)}
       198:{1,3,5,7}:{(179,1),(180,1),(182,1),(191,1),(206,1),(208,1)}
       199:{3,6}:{(180,1),(181,1)}
       200:{1,4,6}:{(182,1),(183,1),(204,1),(208,1)}
       201:{2,4,6}:{(184,1),(185,1),(205,1),(207,1)}
       202:{1,2,4}:{(186,1),(187,1),(188,1)}
       203:{1,2,5}:{(189,1),(190,1),(191,1)}
       204:{1,5,6}:{(192,1),(193,1),(200,1)}
       205:{2,5,6}:{(194,1),(195,1),(201,1)}
       206:{1,2,5,7}:{(196,1),(197,1),(198,1),(203,1),(209,1)}
       207:{2,3,6}:{(197,1),(199,1),(201,1),(209,1)}
       208:{1,3,6}:{(198,1),(199,1),(200,1),(209,1)}
       209:{1,2,6}:{(206,1),(207,1),(208,1)}

1891 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(34,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(43,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(33,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(8,1),(20,1),(38,1),(39,1),(43,1),(45,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(20,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(29,1),(30,1),(33,1)}
        8:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(14,1),(47,1),(48,1)}
        9:{3,4,6}:{(5,1),(6,1),(13,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(31,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(32,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(40,1),(41,1),(43,1)}
       13:{3,5,6}:{(7,1),(9,1),(20,1)}
       14:{3,4,6,7}:{(8,1),(9,1),(20,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(21,1),(25,1),(57,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(22,1),(25,1),(57,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(43,1),(58,1),(59,1)}
       18:{1,2,4,5,6,7}:{(12,1),(27,1),(47,1),(48,1),(49,1)}
       19:{3,4,5,6}:{(13,1),(28,1),(29,1),(30,1),(51,1)}
       20:{3,5,7}:{(12,1),(13,1),(14,1)}
       21:{1,3,5,6}:{(13,1),(15,1),(29,1),(31,1),(33,1),(51,1)}
       22:{2,3,5,6}:{(13,1),(16,1),(30,1),(32,1),(33,1),(51,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(31,1),(34,1),(47,1),(60,1),(61,1)}
       24:{2,3,4,6,7}:{(14,1),(16,1),(32,1),(34,1),(48,1),(60,1),(61,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(33,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,5,6,7}:{(18,1),(20,1),(37,1)}
       28:{3,4,5,7}:{(19,1),(20,1),(37,1),(40,1),(41,1),(56,1)}
       29:{1,4,5,6}:{(19,1),(21,1),(40,1)}
       30:{2,4,5,6}:{(19,1),(22,1),(41,1)}
       31:{1,3,5,7}:{(20,1),(21,1),(23,1),(40,1),(43,1),(56,1)}
       32:{2,3,5,7}:{(20,1),(22,1),(24,1),(41,1),(43,1),(56,1)}
       33:{1,2,5,6}:{(21,1),(22,1),(25,1),(43,1)}
       34:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(43,1),(45,1),(58,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(58,1)}
       37:{3,4,6,7}:{(27,1),(28,1),(47,1),(48,1),(60,1)}
       38:{1,3,5,6,7}:{(27,1),(31,1),(47,1),(49,1),(60,1)}
       39:{2,3,5,6,7}:{(27,1),(32,1),(48,1),(49,1),(60,1)}
       40:{1,4,5,7}:{(28,1),(29,1),(31,1),(47,1)}
       41:{2,4,5,7}:{(28,1),(30,1),(32,1),(48,1)}
       42:{1,2,4,5,6}:{(29,1),(30,1),(33,1),(50,1),(51,1),(53,1)}
       43:{1,2,5,7}:{(31,1),(32,1),(33,1),(34,1)}
       44:{1,2,3,5,6}:{(33,1),(35,1),(51,1),(52,1),(53,1),(54,1)}
       45:{1,2,3,6,7}:{(34,1),(35,1),(52,1),(60,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(40,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(41,1)}
       49:{1,2,5,6,7}:{(38,1),(39,1),(43,1),(55,1)}
       50:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(43,1),(55,1),(56,1),(58,1)}
       51:{3,5,6}:{(42,1),(56,1),(57,1)}
       52:{1,2,3,5,7}:{(43,1),(44,1),(45,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(44,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(50,1),(60,1)}
       56:{3,5,7}:{(50,1),(51,1),(60,1),(61,1)}
       57:{3,4,6}:{(51,1),(53,1),(61,1),(62,1)}
       58:{1,2,4,7}:{(52,1),(53,1),(61,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(57,1),(59,1)}

1892 :   0:{2,3,4,5,7}:{(2,1),(3,1),(16,1),(23,1),(68,1),(112,1),(115,1),(120,1),(167,1),(174,1)}
         1:{1,3,4,5,7}:{(4,1),(5,1),(17,1),(22,1),(60,1),(111,1),(121,1),(124,1),(167,1),(179,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(31,1),(34,1),(82,1),(85,1),(88,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(89,1),(150,1),(187,1),(193,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(31,1),(41,1),(82,1),(93,1),(96,1)}
         5:{1,3,4,6}:{(1,1),(12,1),(13,1),(97,1),(142,1),(187,1),(196,1)}
         6:{2,3,4,6,7}:{(3,1),(15,1),(16,1),(48,1),(101,1),(112,1),(160,1)}
         7:{1,3,5,7}:{(2,1),(17,1),(18,1),(60,1),(167,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(18,1),(19,1),(61,1)}
         9:{2,3,5,6}:{(3,1),(16,1),(19,1),(20,1),(62,1),(68,1),(199,1)}
        10:{1,3,4,6,7}:{(5,1),(21,1),(22,1),(50,1),(104,1),(121,1),(164,1)}
        11:{2,3,5,7}:{(4,1),(23,1),(24,1),(68,1),(167,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(24,1),(25,1),(69,1)}
        13:{1,3,5,6}:{(5,1),(22,1),(25,1),(26,1),(60,1),(70,1),(200,1)}
        14:{1,2,3,5,7}:{(7,1),(11,1),(31,1),(32,1),(82,1)}
        15:{1,2,4,6,7}:{(6,1),(8,1),(33,1),(34,1),(85,1)}
        16:{2,3,5,7}:{(6,1),(9,1),(34,1),(35,1),(86,1),(184,1)}
        17:{1,3,4,7}:{(7,1),(31,1),(36,1),(85,1),(138,1)}
        18:{1,3,6}:{(7,1),(8,1),(187,1)}
        19:{1,2,5,6}:{(8,1),(9,1),(34,1),(37,1),(82,1)}
        20:{2,4,5,6}:{(9,1),(35,1),(39,1),(96,1),(150,1)}
        21:{1,2,4,6,7}:{(10,1),(12,1),(40,1),(41,1),(93,1)}
        22:{1,3,5,7}:{(10,1),(13,1),(41,1),(42,1),(94,1),(186,1)}
        23:{2,3,4,7}:{(11,1),(31,1),(43,1),(93,1),(138,1)}
        24:{2,3,6}:{(11,1),(12,1),(187,1)}
        25:{1,2,5,6}:{(12,1),(13,1),(41,1),(44,1),(82,1)}
        26:{1,4,5,6}:{(13,1),(42,1),(46,1),(88,1),(142,1)}
        27:{2,3,5,6,7}:{(16,1),(47,1),(48,1),(52,1),(101,1),(119,1)}
        28:{1,3,5,6,7}:{(22,1),(49,1),(50,1),(51,1),(104,1),(110,1)}
        29:{1,4,5,6,7}:{(50,1),(51,1),(158,1)}
        30:{2,4,5,6,7}:{(48,1),(52,1),(162,1)}
        31:{1,2,4,7}:{(14,1),(17,1),(23,1),(54,1)}
        32:{1,2,3,6}:{(14,1),(18,1),(24,1),(54,1)}
        33:{1,3,6,7}:{(15,1),(18,1),(57,1),(101,1)}
        34:{1,2,5,7}:{(15,1),(16,1),(19,1),(57,1)}
        35:{2,4,5,7}:{(16,1),(20,1),(48,1),(59,1)}
        36:{1,3,4,6}:{(17,1),(18,1),(54,1),(60,1),(61,1),(109,1)}
        37:{1,3,5,6}:{(18,1),(19,1),(57,1),(60,1),(61,1),(62,1)}
        38:{1,2,4,5,6}:{(19,1),(20,1),(58,1),(61,1),(62,1),(63,1),(108,1),(117,1),(118,1),(158,1),(166,1),(199,1)}
        39:{3,4,5,6}:{(20,1),(59,1),(62,1),(63,1),(124,1),(178,1)}
        40:{2,3,6,7}:{(21,1),(24,1),(65,1),(104,1)}
        41:{1,2,5,7}:{(21,1),(22,1),(25,1),(65,1)}
        42:{1,4,5,7}:{(22,1),(26,1),(50,1),(67,1)}
        43:{2,3,4,6}:{(23,1),(24,1),(54,1),(68,1),(69,1),(109,1)}
        44:{2,3,5,6}:{(24,1),(25,1),(65,1),(68,1),(69,1),(70,1)}
        45:{1,2,4,5,6}:{(25,1),(26,1),(66,1),(69,1),(70,1),(71,1),(108,1),(125,1),(127,1),(162,1),(166,1),(200,1)}
        46:{3,4,5,6}:{(26,1),(67,1),(70,1),(71,1),(115,1),(173,1)}
        47:{1,2,5,6,7}:{(27,1),(34,1),(72,1),(73,1),(79,1),(136,1),(184,1)}
        48:{2,4,6,7}:{(27,1),(35,1),(74,1),(150,1)}
        49:{1,2,5,6,7}:{(28,1),(41,1),(75,1),(76,1),(78,1),(136,1),(186,1)}
        50:{1,4,6,7}:{(28,1),(42,1),(77,1),(142,1)}
        51:{3,5,6,7}:{(29,1),(77,1),(78,1),(183,1)}
        52:{3,5,6,7}:{(30,1),(74,1),(79,1),(185,1)}
        53:{1,2,3,6,7}:{(32,1),(33,1),(40,1),(80,1),(81,1),(131,1),(134,1),(187,1),(208,1)}
        54:{1,2,4,6}:{(31,1),(32,1),(36,1),(43,1),(82,1)}
        55:{1,2,3,5,6}:{(32,1),(37,1),(44,1),(81,1),(82,1),(83,1),(91,1),(98,1),(136,1),(139,1),(187,1),(191,1),(192,1),(208,1)}
        56:{1,3,4,6,7}:{(33,1),(36,1),(80,1),(84,1),(85,1),(129,1),(138,1),(142,1),(187,1)}
        57:{1,3,5,7}:{(33,1),(34,1),(37,1),(85,1),(86,1)}
        58:{1,2,4,5,7}:{(34,1),(35,1),(38,1),(73,1),(85,1),(86,1),(87,1),(128,1),(145,1),(146,1),(184,1)}
        59:{3,4,5,7}:{(35,1),(39,1),(74,1),(86,1),(87,1)}
        60:{1,3,5}:{(36,1),(82,1),(88,1),(139,1)}
        61:{1,4,6}:{(37,1),(85,1),(88,1),(89,1)}
        62:{3,5,6}:{(38,1),(86,1),(89,1),(139,1),(187,1)}
        63:{1,4,5,6}:{(39,1),(87,1),(90,1),(155,1),(196,1)}
        64:{2,3,4,6,7}:{(40,1),(43,1),(80,1),(92,1),(93,1),(133,1),(138,1),(150,1),(187,1)}
        65:{2,3,5,7}:{(40,1),(41,1),(44,1),(93,1),(94,1)}
        66:{1,2,4,5,7}:{(41,1),(42,1),(45,1),(76,1),(93,1),(94,1),(95,1),(132,1),(152,1),(154,1),(186,1)}
        67:{3,4,5,7}:{(42,1),(46,1),(77,1),(94,1),(95,1)}
        68:{2,3,5}:{(43,1),(82,1),(96,1),(139,1)}
        69:{2,4,6}:{(44,1),(93,1),(96,1),(97,1)}
        70:{3,5,6}:{(45,1),(94,1),(97,1),(139,1),(187,1)}
        71:{2,4,5,6}:{(46,1),(95,1),(99,1),(148,1),(193,1)}
        72:{1,3,5,6,7}:{(47,1),(57,1),(100,1),(101,1),(110,1),(159,1)}
        73:{1,2,4,6,7}:{(47,1),(48,1),(58,1),(100,1),(101,1),(102,1),(160,1),(161,1),(166,1)}
        74:{3,4,6,7}:{(48,1),(52,1),(59,1),(101,1),(102,1),(178,1)}
        75:{2,3,5,6,7}:{(49,1),(65,1),(103,1),(104,1),(119,1),(163,1)}
        76:{1,2,4,6,7}:{(49,1),(50,1),(66,1),(103,1),(104,1),(105,1),(164,1),(165,1),(166,1)}
        77:{3,4,6,7}:{(50,1),(51,1),(67,1),(104,1),(105,1),(173,1)}
        78:{2,5,6,7}:{(51,1),(105,1),(199,1)}
        79:{1,5,6,7}:{(52,1),(102,1),(200,1)}
        80:{1,2,4,6,7}:{(53,1),(54,1),(56,1),(64,1),(106,1),(107,1),(160,1),(164,1),(166,1)}
        81:{1,2,3,5,7}:{(53,1),(55,1),(57,1),(65,1),(106,1),(107,1),(114,1),(122,1),(167,1),(203,1),(204,1)}
        82:{1,2,5}:{(54,1),(60,1),(68,1)}
        83:{1,2,4,6}:{(55,1),(61,1),(69,1),(107,1),(108,1),(109,1),(117,1),(125,1)}
        84:{1,3,5,7}:{(56,1),(60,1),(106,1),(110,1),(111,1),(159,1),(167,1)}
        85:{1,4,7}:{(57,1),(61,1),(112,1)}
        86:{3,5,7}:{(58,1),(62,1),(101,1),(112,1)}
        87:{1,4,5,7}:{(59,1),(63,1),(102,1),(113,1)}
        88:{1,4,5}:{(60,1),(61,1),(115,1)}
        89:{3,4,6}:{(61,1),(62,1),(112,1),(115,1),(117,1)}
        90:{1,3,5,6}:{(62,1),(63,1),(113,1),(116,1),(118,1),(170,1),(201,1)}
        91:{2,3,5,6}:{(62,1),(114,1),(117,1),(118,1),(171,1),(177,1),(199,1),(202,1)}
        92:{2,3,5,7}:{(64,1),(68,1),(106,1),(119,1),(120,1),(163,1),(167,1)}
        93:{2,4,7}:{(65,1),(69,1),(121,1)}
        94:{3,5,7}:{(66,1),(70,1),(104,1),(121,1)}
        95:{2,4,5,7}:{(67,1),(71,1),(105,1),(123,1)}
        96:{2,4,5}:{(68,1),(69,1),(124,1)}
        97:{3,4,6}:{(69,1),(70,1),(121,1),(124,1),(125,1)}
        98:{1,3,5,6}:{(70,1),(122,1),(125,1),(127,1),(170,1),(182,1),(200,1),(201,1)}
        99:{2,3,5,6}:{(70,1),(71,1),(123,1),(126,1),(127,1),(171,1),(202,1)}
       100:{1,4,6,7}:{(72,1),(85,1),(128,1),(129,1),(142,1)}
       101:{3,6,7}:{(73,1),(86,1),(187,1)}
       102:{1,4,6,7}:{(74,1),(79,1),(87,1),(130,1),(196,1)}
       103:{2,4,6,7}:{(75,1),(93,1),(132,1),(133,1),(150,1)}
       104:{3,6,7}:{(76,1),(94,1),(187,1)}
       105:{2,4,6,7}:{(77,1),(78,1),(95,1),(135,1),(193,1)}
       106:{1,2,5,7}:{(80,1),(82,1),(84,1),(92,1),(136,1),(184,1),(186,1)}
       107:{1,2,4,7}:{(81,1),(83,1),(85,1),(93,1),(138,1),(145,1),(152,1)}
       108:{1,2,4,5}:{(82,1),(83,1),(88,1),(96,1),(139,1),(148,1),(155,1),(191,1)}
       109:{3,4,6}:{(83,1),(138,1),(139,1),(187,1)}
       110:{1,3,5,6}:{(84,1),(136,1),(142,1),(183,1),(187,1)}
       111:{1,4,5,7}:{(84,1),(85,1),(88,1),(142,1),(143,1)}
       112:{3,4,7}:{(85,1),(86,1),(89,1),(145,1)}
       113:{1,3,5,7}:{(86,1),(87,1),(90,1),(130,1),(144,1),(146,1)}
       114:{2,3,5,7}:{(86,1),(91,1),(131,1),(145,1),(146,1),(184,1),(194,1)}
       115:{3,4,5}:{(88,1),(89,1),(139,1),(148,1)}
       116:{1,3,4,6}:{(89,1),(90,1),(144,1),(147,1),(149,1)}
       117:{2,4,6}:{(89,1),(91,1),(145,1),(148,1)}
       118:{1,2,5,6}:{(90,1),(91,1),(146,1),(149,1),(191,1),(208,1)}
       119:{2,3,5,6}:{(92,1),(136,1),(150,1),(185,1),(187,1)}
       120:{2,4,5,7}:{(92,1),(93,1),(96,1),(150,1),(151,1)}
       121:{3,4,7}:{(93,1),(94,1),(97,1),(152,1)}
       122:{1,3,5,7}:{(94,1),(98,1),(134,1),(152,1),(154,1),(186,1),(197,1)}
       123:{2,3,5,7}:{(94,1),(95,1),(99,1),(135,1),(153,1),(154,1)}
       124:{3,4,5}:{(96,1),(97,1),(139,1),(155,1)}
       125:{1,4,6}:{(97,1),(98,1),(152,1),(155,1)}
       126:{2,3,4,6}:{(97,1),(99,1),(153,1),(156,1),(157,1)}
       127:{1,2,5,6}:{(98,1),(99,1),(154,1),(157,1),(191,1),(208,1)}
       128:{1,4,5,7}:{(100,1),(158,1),(159,1)}
       129:{3,4,6,7}:{(100,1),(101,1),(112,1),(159,1),(160,1),(173,1)}
       130:{1,3,6,7}:{(101,1),(102,1),(113,1),(161,1),(201,1)}
       131:{2,3,6,7}:{(101,1),(114,1),(160,1),(161,1),(202,1)}
       132:{2,4,5,7}:{(103,1),(162,1),(163,1)}
       133:{3,4,6,7}:{(103,1),(104,1),(121,1),(163,1),(164,1),(178,1)}
       134:{1,3,6,7}:{(104,1),(122,1),(164,1),(165,1),(201,1)}
       135:{2,3,6,7}:{(104,1),(105,1),(123,1),(165,1),(202,1)}
       136:{1,2,5,6}:{(106,1),(110,1),(119,1),(166,1),(199,1),(200,1)}
       137:{1,2,4,5,7}:{(106,1),(107,1),(108,1),(111,1),(120,1),(166,1),(167,1),(174,1),(179,1),(203,1)}
       138:{3,4,7}:{(107,1),(109,1),(167,1)}
       139:{3,5}:{(108,1),(109,1)}
       140:{1,3,4,6}:{(109,1),(125,1),(168,1),(170,1),(172,1),(182,1),(201,1),(207,1)}
       141:{2,3,4,6}:{(109,1),(117,1),(169,1),(171,1),(172,1),(177,1),(202,1),(206,1)}
       142:{1,4,6}:{(110,1),(111,1),(173,1)}
       143:{3,4,5,7}:{(111,1),(112,1),(115,1),(159,1),(167,1),(173,1),(174,1)}
       144:{1,3,4,7}:{(112,1),(113,1),(116,1),(175,1)}
       145:{2,4,7}:{(112,1),(114,1),(117,1)}
       146:{1,2,5,7}:{(113,1),(114,1),(118,1),(161,1),(175,1)}
       147:{1,3,4,5}:{(115,1),(116,1),(170,1),(176,1),(207,1)}
       148:{2,4,5}:{(115,1),(117,1),(171,1)}
       149:{1,2,4,6}:{(116,1),(117,1),(118,1),(175,1),(176,1),(177,1)}
       150:{2,4,6}:{(119,1),(120,1),(178,1)}
       151:{3,4,5,7}:{(120,1),(121,1),(124,1),(163,1),(167,1),(178,1),(179,1)}
       152:{1,4,7}:{(121,1),(122,1),(125,1)}
       153:{2,3,4,7}:{(121,1),(123,1),(126,1),(180,1)}
       154:{1,2,5,7}:{(122,1),(123,1),(127,1),(165,1),(180,1)}
       155:{1,4,5}:{(124,1),(125,1),(170,1)}
       156:{2,3,4,5}:{(124,1),(126,1),(171,1),(181,1),(206,1)}
       157:{1,2,4,6}:{(125,1),(126,1),(127,1),(180,1),(181,1),(182,1)}
       158:{1,4,5,6}:{(128,1),(142,1),(183,1)}
       159:{3,5,7}:{(128,1),(129,1),(183,1),(184,1)}
       160:{2,4,6,7}:{(129,1),(131,1),(145,1),(184,1),(193,1)}
       161:{1,2,6,7}:{(130,1),(131,1),(146,1),(208,1)}
       162:{2,4,5,6}:{(132,1),(150,1),(185,1)}
       163:{3,5,7}:{(132,1),(133,1),(185,1),(186,1)}
       164:{1,4,6,7}:{(133,1),(134,1),(152,1),(186,1),(196,1)}
       165:{1,2,6,7}:{(134,1),(135,1),(154,1),(208,1)}
       166:{1,2,4,6}:{(136,1),(137,1),(142,1),(150,1),(187,1),(193,1),(196,1),(208,1)}
       167:{3,5,7}:{(137,1),(138,1),(139,1),(187,1)}
       168:{1,3,4,7}:{(138,1),(140,1),(152,1),(188,1),(190,1),(197,1)}
       169:{2,3,4,7}:{(138,1),(141,1),(145,1),(189,1),(190,1),(194,1)}
       170:{1,3,5}:{(139,1),(140,1),(155,1),(191,1)}
       171:{2,3,5}:{(139,1),(141,1),(148,1),(191,1)}
       172:{1,2,4,6}:{(140,1),(141,1),(190,1),(191,1),(192,1),(208,1),(209,1)}
       173:{3,4,6}:{(142,1),(143,1),(183,1),(187,1),(193,1)}
       174:{2,4,5,7}:{(143,1),(145,1),(148,1),(184,1),(189,1),(193,1)}
       175:{1,2,4,7}:{(144,1),(145,1),(146,1),(149,1),(194,1)}
       176:{1,2,4,5}:{(147,1),(148,1),(149,1),(191,1),(195,1),(209,1)}
       177:{2,3,6}:{(149,1),(194,1),(195,1)}
       178:{3,4,6}:{(150,1),(151,1),(185,1),(187,1),(196,1)}
       179:{1,4,5,7}:{(151,1),(152,1),(155,1),(186,1),(188,1),(196,1)}
       180:{1,2,4,7}:{(152,1),(153,1),(154,1),(157,1),(197,1)}
       181:{1,2,4,5}:{(155,1),(156,1),(157,1),(191,1),(198,1),(209,1)}
       182:{1,3,6}:{(157,1),(197,1),(198,1)}
       183:{3,5,6}:{(158,1),(159,1),(173,1),(199,1)}
       184:{2,5,7}:{(159,1),(160,1),(199,1)}
       185:{3,5,6}:{(162,1),(163,1),(178,1),(200,1)}
       186:{1,5,7}:{(163,1),(164,1),(200,1)}
       187:{3,6}:{(166,1),(167,1)}
       188:{1,3,5,7}:{(167,1),(168,1),(170,1),(179,1),(201,1),(203,1)}
       189:{2,3,5,7}:{(167,1),(169,1),(171,1),(174,1),(202,1),(203,1)}
       190:{1,2,4,7}:{(168,1),(169,1),(172,1),(203,1),(204,1)}
       191:{1,2,5}:{(170,1),(171,1),(172,1)}
       192:{1,2,3,6}:{(172,1),(177,1),(182,1),(204,1),(205,1)}
       193:{2,4,6}:{(173,1),(174,1),(199,1),(202,1)}
       194:{2,3,7}:{(175,1),(177,1)}
       195:{2,3,5}:{(176,1),(177,1),(206,1)}
       196:{1,4,6}:{(178,1),(179,1),(200,1),(201,1)}
       197:{1,3,7}:{(180,1),(182,1)}
       198:{1,3,5}:{(181,1),(182,1),(207,1)}
       199:{2,5,6}:{(183,1),(184,1),(193,1)}
       200:{1,5,6}:{(185,1),(186,1),(196,1)}
       201:{1,3,6}:{(187,1),(188,1),(196,1),(208,1)}
       202:{2,3,6}:{(187,1),(189,1),(193,1),(208,1)}
       203:{1,2,5,7}:{(188,1),(189,1),(190,1),(191,1),(208,1)}
       204:{1,2,3,7}:{(190,1),(192,1),(194,1),(197,1)}
       205:{1,2,3,5}:{(191,1),(192,1),(195,1),(198,1),(209,1)}
       206:{2,3,4}:{(195,1),(209,1)}
       207:{1,3,4}:{(198,1),(209,1)}
       208:{1,2,6}:{(201,1),(202,1),(203,1)}
       209:{1,2,4}:{(205,1),(206,1),(207,1)}

1893 :   0:{1,2,3,4,6}:{(1,1),(2,1),(6,1),(9,1),(10,1),(25,1)}
         1:{1,2,3,4,7}:{(0,1),(4,1),(20,1),(39,1)}
         2:{1,2,3,5}:{(0,1),(3,1)}
         3:{1,2,4,5}:{(2,1),(7,1),(9,1)}
         4:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(10,1)}
         5:{1,2,3,5,6}:{(2,1),(9,1),(10,1),(11,1),(25,1),(28,1),(32,1),(57,1)}
         6:{1,2,3,4}:{(13,1)}
         7:{3,4,5}:{(3,1),(17,1)}
         8:{1,2,4,5,7}:{(3,1),(4,1),(16,1),(19,1),(20,1),(48,1)}
         9:{1,2,4,6}:{(3,1),(5,1),(17,1),(20,1)}
        10:{1,2,3,6}:{(4,1),(19,1)}
        11:{1,2,3,5,7}:{(5,1),(20,1),(21,1),(39,1),(44,1),(48,1),(74,1)}
        12:{1,2,3,4,6}:{(6,1),(22,1),(23,1),(25,1),(51,1),(52,1)}
        13:{1,2,3,5}:{(6,1),(24,1),(25,1)}
        14:{1,3,4,5}:{(7,1),(24,1),(26,1),(49,1)}
        15:{2,3,4,5}:{(7,1),(24,1),(27,1),(49,1)}
        16:{3,4,5,7}:{(7,1),(8,1),(29,1),(30,1),(63,1)}
        17:{3,4,6}:{(7,1),(9,1),(28,1),(30,1)}
        18:{1,2,4,5,6}:{(9,1),(28,1),(31,1),(32,1),(54,1),(55,1),(57,1),(62,1)}
        19:{1,2,4,6}:{(8,1),(10,1),(29,1),(32,1)}
        20:{1,2,4,7}:{(9,1),(11,1),(30,1)}
        21:{1,2,3,6,7}:{(10,1),(11,1),(33,1),(61,1),(88,1)}
        22:{1,2,3,4,7}:{(12,1),(35,1),(39,1),(69,1)}
        23:{1,2,3,5}:{(12,1),(34,1)}
        24:{1,2,4,5}:{(13,1),(14,1),(15,1),(38,1)}
        25:{1,2,3,6}:{(13,1),(38,1),(39,1)}
        26:{1,3,4,6}:{(14,1),(17,1),(38,1),(40,1),(41,1),(66,1)}
        27:{2,3,4,6}:{(15,1),(17,1),(38,1),(42,1),(43,1),(66,1)}
        28:{3,5,6}:{(17,1),(18,1),(44,1)}
        29:{3,4,6}:{(16,1),(19,1),(45,1)}
        30:{3,4,7}:{(17,1),(20,1),(44,1)}
        31:{1,2,4,5,7}:{(18,1),(20,1),(44,1),(47,1),(48,1),(71,1),(72,1),(74,1),(78,1)}
        32:{1,2,5,6}:{(19,1),(45,1),(48,1)}
        33:{1,2,4,6,7}:{(19,1),(20,1),(21,1),(46,1),(48,1)}
        34:{1,2,4,5}:{(23,1),(49,1),(51,1)}
        35:{1,2,3,5,7}:{(22,1),(23,1),(50,1),(52,1)}
        36:{1,2,3,5,6}:{(23,1),(25,1),(51,1),(52,1),(53,1),(57,1),(79,1),(83,1)}
        37:{3,4,5,6}:{(28,1),(54,1),(55,1),(56,1),(62,1),(79,1),(99,1)}
        38:{1,2,4,6}:{(24,1),(25,1),(26,1),(27,1),(57,1),(58,1)}
        39:{1,2,3,7}:{(25,1),(58,1)}
        40:{1,3,5,6}:{(26,1),(28,1),(54,1),(57,1),(59,1),(79,1)}
        41:{1,3,4,7}:{(26,1),(30,1),(58,1),(59,1),(81,1)}
        42:{2,3,5,6}:{(27,1),(28,1),(55,1),(57,1),(60,1),(79,1)}
        43:{2,3,4,7}:{(27,1),(30,1),(58,1),(60,1),(81,1)}
        44:{3,5,7}:{(28,1),(30,1),(31,1),(61,1)}
        45:{3,5,6}:{(29,1),(32,1),(62,1),(63,1)}
        46:{3,4,6,7}:{(29,1),(30,1),(33,1),(61,1),(63,1),(89,1)}
        47:{1,2,4,6,7}:{(31,1),(61,1),(64,1),(85,1),(86,1),(88,1),(89,1)}
        48:{1,2,5,7}:{(32,1),(33,1),(63,1)}
        49:{3,4,5}:{(34,1),(66,1)}
        50:{1,2,4,5,7}:{(34,1),(35,1),(65,1),(68,1),(69,1),(94,1)}
        51:{1,2,4,6}:{(34,1),(36,1),(66,1),(69,1)}
        52:{1,2,3,6}:{(35,1),(68,1)}
        53:{1,2,3,5,7}:{(36,1),(39,1),(69,1),(70,1),(74,1),(90,1),(94,1)}
        54:{1,4,5,6}:{(37,1),(40,1),(71,1)}
        55:{2,4,5,6}:{(37,1),(42,1),(72,1)}
        56:{3,4,5,7}:{(37,1),(44,1),(71,1),(72,1),(73,1),(78,1),(90,1),(103,1)}
        57:{1,2,5,6}:{(38,1),(40,1),(42,1),(74,1)}
        58:{1,2,4,7}:{(38,1),(39,1),(41,1),(43,1),(74,1)}
        59:{1,3,5,7}:{(40,1),(41,1),(44,1),(71,1),(74,1),(75,1),(90,1)}
        60:{2,3,5,7}:{(42,1),(43,1),(44,1),(72,1),(74,1),(76,1),(90,1)}
        61:{3,6,7}:{(44,1),(47,1)}
        62:{4,5,6}:{(45,1),(78,1)}
        63:{3,5,7}:{(45,1),(46,1),(48,1),(78,1)}
        64:{1,2,5,6,7}:{(47,1),(48,1),(77,1),(95,1),(96,1)}
        65:{3,4,5,7}:{(49,1),(50,1),(80,1),(81,1),(100,1)}
        66:{3,4,6}:{(49,1),(51,1),(79,1),(81,1)}
        67:{1,2,4,5,6}:{(51,1),(54,1),(55,1),(57,1),(79,1),(82,1),(83,1),(99,1)}
        68:{1,2,4,6}:{(50,1),(52,1),(80,1),(83,1)}
        69:{1,2,4,7}:{(51,1),(53,1),(81,1)}
        70:{1,2,3,6,7}:{(52,1),(53,1),(84,1),(88,1),(98,1)}
        71:{1,4,5,7}:{(54,1),(56,1),(59,1),(85,1)}
        72:{2,4,5,7}:{(55,1),(56,1),(60,1),(86,1)}
        73:{3,4,6,7}:{(56,1),(61,1),(85,1),(86,1),(87,1),(89,1),(98,1),(104,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(60,1),(88,1)}
        75:{1,3,6,7}:{(59,1),(61,1),(85,1),(88,1),(98,1)}
        76:{2,3,6,7}:{(60,1),(61,1),(86,1),(88,1),(98,1)}
        77:{3,5,6,7}:{(61,1),(63,1),(64,1),(89,1)}
        78:{4,5,7}:{(62,1),(63,1),(89,1)}
        79:{3,5,6}:{(66,1),(67,1),(90,1)}
        80:{3,4,6}:{(65,1),(68,1),(91,1)}
        81:{3,4,7}:{(66,1),(69,1),(90,1)}
        82:{1,2,4,5,7}:{(67,1),(69,1),(71,1),(72,1),(74,1),(90,1),(93,1),(94,1),(103,1)}
        83:{1,2,5,6}:{(68,1),(91,1),(94,1)}
        84:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(92,1),(94,1)}
        85:{1,4,6,7}:{(71,1),(73,1),(75,1),(95,1)}
        86:{2,4,6,7}:{(72,1),(73,1),(76,1),(96,1)}
        87:{3,5,6,7}:{(73,1),(95,1),(96,1),(97,1)}
        88:{1,2,6,7}:{(74,1),(75,1),(76,1)}
        89:{4,6,7}:{(77,1),(78,1)}
        90:{3,5,7}:{(79,1),(81,1),(82,1),(98,1)}
        91:{3,5,6}:{(80,1),(83,1),(99,1),(100,1)}
        92:{3,4,6,7}:{(80,1),(81,1),(84,1),(98,1),(100,1),(104,1)}
        93:{1,2,4,6,7}:{(82,1),(85,1),(86,1),(88,1),(98,1),(101,1),(104,1)}
        94:{1,2,5,7}:{(83,1),(84,1),(100,1)}
        95:{1,5,6,7}:{(85,1),(87,1)}
        96:{2,5,6,7}:{(86,1),(87,1)}
        97:{4,5,6,7}:{(87,1),(89,1),(104,1)}
        98:{3,6,7}:{(90,1),(93,1)}
        99:{4,5,6}:{(91,1),(103,1)}
       100:{3,5,7}:{(91,1),(92,1),(94,1),(103,1)}
       101:{1,2,5,6,7}:{(93,1),(94,1),(95,1),(96,1),(102,1)}
       102:{3,5,6,7}:{(98,1),(100,1),(101,1),(104,1)}
       103:{4,5,7}:{(99,1),(100,1),(104,1)}
       104:{4,6,7}:{(102,1),(103,1)}

1894 :   0:{1,2,3,6,7}:{(3,1),(4,1),(40,1),(52,1),(85,1),(86,1),(87,1),(104,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(15,1),(19,1),(41,1),(52,1),(55,1),(86,1),(99,1),(104,1)}
         2:{1,3,4,6,7}:{(4,1),(6,1),(15,1),(22,1),(42,1),(52,1),(57,1),(87,1),(100,1),(104,1)}
         3:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(28,1),(31,1),(58,1),(69,1),(94,1),(95,1)}
         4:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(32,1),(60,1),(73,1),(74,1),(96,1),(103,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(10,1),(11,1),(31,1),(61,1),(66,1)}
         6:{1,3,5,7}:{(2,1),(9,1),(12,1),(13,1),(31,1),(62,1),(68,1)}
         7:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(40,1),(43,1),(52,1),(79,1),(80,1),(81,1),(85,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(75,1),(99,1),(100,1)}
         9:{1,2,5,7}:{(4,1),(5,1),(6,1),(17,1),(79,1),(83,1),(84,1)}
        10:{2,4,5,7}:{(5,1),(18,1),(19,1),(76,1),(99,1)}
        11:{2,3,5,6}:{(5,1),(17,1),(19,1),(45,1),(52,1)}
        12:{1,4,5,7}:{(6,1),(21,1),(22,1),(77,1),(100,1)}
        13:{1,3,5,6}:{(6,1),(17,1),(22,1),(47,1),(52,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(90,1),(91,1)}
        15:{3,4,7}:{(8,1),(24,1),(31,1),(88,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(12,1),(25,1),(31,1),(32,1),(34,1),(37,1),(69,1),(89,1),(103,1)}
        17:{1,2,5,6}:{(9,1),(11,1),(13,1),(32,1),(65,1),(67,1)}
        18:{3,4,5,7}:{(10,1),(31,1),(34,1),(35,1),(59,1),(66,1),(92,1)}
        19:{2,4,6}:{(10,1),(11,1),(35,1)}
        20:{2,3,5,6,7}:{(11,1),(33,1),(36,1),(66,1),(72,1),(94,1)}
        21:{3,4,5,7}:{(12,1),(31,1),(37,1),(38,1),(59,1),(68,1),(92,1)}
        22:{1,4,6}:{(12,1),(13,1),(38,1)}
        23:{1,3,5,6,7}:{(13,1),(33,1),(39,1),(68,1),(72,1),(95,1)}
        24:{3,4,6}:{(14,1),(15,1),(43,1),(52,1)}
        25:{1,2,4,5}:{(14,1),(43,1),(76,1),(77,1),(79,1)}
        26:{2,4,5,6}:{(19,1),(45,1),(46,1)}
        27:{1,4,5,6}:{(22,1),(47,1),(48,1)}
        28:{1,2,3,7}:{(40,1),(49,1),(104,1)}
        29:{2,3,4,7}:{(15,1),(41,1),(49,1),(50,1),(99,1),(104,1)}
        30:{1,3,4,7}:{(15,1),(42,1),(49,1),(51,1),(100,1),(104,1)}
        31:{3,5,7}:{(15,1),(16,1),(43,1),(52,1),(97,1),(104,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(19,1),(22,1),(52,1),(54,1),(56,1),(85,1)}
        33:{1,2,5,6,7}:{(17,1),(20,1),(23,1),(53,1),(83,1),(84,1),(101,1)}
        34:{1,4,5,7}:{(18,1),(51,1),(54,1),(77,1),(83,1),(100,1)}
        35:{3,4,6}:{(18,1),(19,1),(45,1),(52,1),(54,1)}
        36:{2,4,6,7}:{(19,1),(20,1),(46,1),(55,1),(99,1)}
        37:{2,4,5,7}:{(21,1),(50,1),(56,1),(76,1),(84,1),(99,1)}
        38:{3,4,6}:{(21,1),(22,1),(47,1),(52,1),(56,1)}
        39:{1,4,6,7}:{(22,1),(23,1),(48,1),(57,1),(100,1)}
        40:{1,2,3,6}:{(28,1),(58,1),(60,1),(102,1)}
        41:{2,3,4,6}:{(24,1),(29,1),(60,1),(61,1),(70,1),(88,1),(90,1),(102,1)}
        42:{1,3,4,6}:{(24,1),(30,1),(60,1),(62,1),(71,1),(88,1),(91,1),(102,1)}
        43:{3,5}:{(24,1),(25,1)}
        44:{1,2,4,5,6}:{(25,1),(26,1),(27,1),(32,1),(63,1),(64,1),(65,1),(67,1),(90,1),(91,1),(93,1)}
        45:{3,5,6}:{(26,1),(35,1),(65,1),(66,1)}
        46:{2,4,5,7}:{(26,1),(36,1),(66,1)}
        47:{3,5,6}:{(27,1),(38,1),(67,1),(68,1)}
        48:{1,4,5,7}:{(27,1),(39,1),(68,1)}
        49:{1,2,4,7}:{(28,1),(29,1),(30,1),(60,1),(69,1)}
        50:{2,3,5,7}:{(29,1),(31,1),(37,1),(61,1),(69,1),(70,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(34,1),(62,1),(69,1),(71,1)}
        52:{3,6}:{(31,1),(32,1)}
        53:{1,2,4,6,7}:{(32,1),(33,1),(36,1),(39,1),(64,1),(72,1),(73,1),(74,1),(96,1),(103,1)}
        54:{1,4,6}:{(34,1),(35,1),(65,1),(71,1)}
        55:{3,4,6,7}:{(35,1),(36,1),(66,1),(72,1),(73,1),(92,1)}
        56:{2,4,6}:{(37,1),(38,1),(67,1),(70,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(68,1),(72,1),(74,1),(92,1)}
        58:{1,2,3,5}:{(40,1),(75,1),(79,1),(97,1)}
        59:{3,4,5}:{(43,1),(76,1),(77,1),(78,1),(97,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(42,1),(49,1),(75,1),(79,1),(85,1)}
        61:{2,3,5}:{(41,1),(43,1),(76,1),(79,1),(97,1)}
        62:{1,3,5}:{(42,1),(43,1),(77,1),(79,1),(97,1)}
        63:{3,5,6}:{(43,1),(44,1),(52,1),(78,1),(82,1)}
        64:{1,2,4,5,7}:{(44,1),(46,1),(48,1),(53,1),(82,1),(83,1),(84,1),(99,1),(100,1),(101,1)}
        65:{1,5,6}:{(45,1),(54,1),(83,1)}
        66:{3,5,7}:{(45,1),(46,1),(55,1),(83,1)}
        67:{2,5,6}:{(47,1),(56,1),(84,1)}
        68:{3,5,7}:{(47,1),(48,1),(57,1),(84,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(85,1)}
        70:{2,3,6}:{(50,1),(52,1),(56,1),(85,1)}
        71:{1,3,6}:{(51,1),(52,1),(54,1),(85,1)}
        72:{3,6,7}:{(52,1),(53,1),(82,1),(104,1)}
        73:{1,4,6,7}:{(54,1),(55,1),(83,1),(87,1),(100,1)}
        74:{2,4,6,7}:{(56,1),(57,1),(84,1),(86,1),(99,1)}
        75:{1,2,4}:{(58,1),(88,1)}
        76:{2,4,5}:{(59,1),(61,1),(90,1)}
        77:{1,4,5}:{(59,1),(62,1),(91,1)}
        78:{3,4,6}:{(59,1),(63,1),(90,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(60,1),(61,1),(62,1)}
        80:{2,3,5,6}:{(61,1),(63,1),(67,1),(70,1),(90,1),(93,1),(94,1),(102,1)}
        81:{1,3,5,6}:{(62,1),(63,1),(65,1),(71,1),(91,1),(93,1),(95,1),(102,1)}
        82:{3,5,7}:{(63,1),(64,1),(72,1),(92,1)}
        83:{1,5,7}:{(65,1),(66,1),(73,1)}
        84:{2,5,7}:{(67,1),(68,1),(74,1)}
        85:{1,2,6}:{(69,1),(70,1),(71,1)}
        86:{2,3,6,7}:{(70,1),(72,1),(74,1),(94,1),(96,1)}
        87:{1,3,6,7}:{(71,1),(72,1),(73,1),(95,1),(96,1)}
        88:{3,4}:{(75,1),(97,1)}
        89:{1,2,4,5}:{(75,1),(76,1),(77,1),(79,1),(97,1),(98,1)}
        90:{2,4,6}:{(76,1),(78,1),(80,1),(99,1)}
        91:{1,4,6}:{(77,1),(78,1),(81,1),(100,1)}
        92:{3,4,7}:{(78,1),(82,1),(99,1),(100,1),(104,1)}
        93:{1,2,5,6}:{(79,1),(80,1),(81,1),(85,1),(98,1),(101,1)}
        94:{2,3,5,7}:{(80,1),(82,1),(84,1),(86,1),(99,1),(101,1),(104,1)}
        95:{1,3,5,7}:{(81,1),(82,1),(83,1),(87,1),(100,1),(101,1),(104,1)}
        96:{1,2,6,7}:{(85,1),(86,1),(87,1),(101,1)}
        97:{3,5}:{(88,1),(89,1),(102,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{2,4,7}:{(90,1),(92,1),(94,1)}
       100:{1,4,7}:{(91,1),(92,1),(95,1)}
       101:{1,2,5,7}:{(93,1),(94,1),(95,1),(96,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1895 :   0:{1,2,3,4,7}:{(1,1),(2,1),(24,1),(70,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(15,1),(30,1),(57,1)}
         2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1)}
         3:{1,2,4,5,7}:{(2,1),(6,1),(7,1),(8,1),(20,1),(24,1)}
         4:{1,2,3,5}:{(1,1),(8,1)}
         5:{1,2,3,6}:{(2,1),(7,1)}
         6:{3,4,5,7}:{(3,1),(11,1),(14,1),(26,1),(34,1)}
         7:{1,2,4,6}:{(3,1),(5,1),(11,1),(12,1)}
         8:{1,2,4,5}:{(4,1),(14,1),(15,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(16,1),(28,1),(54,1),(57,1)}
        10:{1,2,3,6,7}:{(5,1),(13,1),(16,1),(52,1),(79,1)}
        11:{3,4,6}:{(6,1),(7,1),(17,1)}
        12:{1,2,5,6}:{(7,1),(17,1),(20,1)}
        13:{1,2,4,6,7}:{(7,1),(10,1),(18,1),(20,1),(24,1)}
        14:{3,4,5}:{(8,1),(23,1)}
        15:{1,2,4,6}:{(8,1),(9,1),(23,1),(24,1)}
        16:{1,2,3,5,7}:{(9,1),(10,1),(20,1),(24,1),(42,1),(69,1),(70,1)}
        17:{3,5,6}:{(11,1),(12,1),(25,1),(26,1)}
        18:{3,4,6,7}:{(11,1),(13,1),(26,1),(34,1),(47,1),(52,1)}
        19:{1,2,4,5,6}:{(12,1),(15,1),(25,1),(28,1),(29,1),(48,1),(49,1),(54,1)}
        20:{1,2,5,7}:{(12,1),(13,1),(26,1)}
        21:{2,3,4,5}:{(14,1),(31,1),(32,1),(74,1)}
        22:{1,3,4,5}:{(14,1),(31,1),(33,1),(74,1)}
        23:{3,4,6}:{(14,1),(15,1),(28,1),(34,1)}
        24:{1,2,4,7}:{(15,1),(16,1),(34,1)}
        25:{4,5,6}:{(17,1),(37,1)}
        26:{3,5,7}:{(17,1),(18,1),(20,1),(37,1)}
        27:{1,2,5,6,7}:{(20,1),(35,1),(38,1),(82,1),(83,1)}
        28:{3,5,6}:{(19,1),(23,1),(42,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(24,1),(37,1),(38,1),(42,1),(62,1),(63,1),(69,1)}
        30:{1,2,3,4}:{(43,1)}
        31:{1,2,4,5}:{(21,1),(22,1),(43,1),(44,1)}
        32:{2,3,4,6}:{(21,1),(23,1),(40,1),(44,1),(45,1),(86,1)}
        33:{1,3,4,6}:{(22,1),(23,1),(41,1),(44,1),(46,1),(86,1)}
        34:{3,4,7}:{(23,1),(24,1),(42,1)}
        35:{3,5,6,7}:{(26,1),(27,1),(47,1),(52,1)}
        36:{3,4,5,6}:{(25,1),(28,1),(48,1),(49,1),(50,1),(75,1),(101,1)}
        37:{4,5,7}:{(25,1),(26,1),(47,1)}
        38:{1,2,4,6,7}:{(27,1),(29,1),(47,1),(52,1),(72,1),(73,1),(79,1)}
        39:{1,2,3,4,6}:{(30,1),(51,1),(53,1),(57,1),(78,1),(80,1)}
        40:{2,3,5,6}:{(28,1),(32,1),(48,1),(54,1),(55,1),(75,1)}
        41:{1,3,5,6}:{(28,1),(33,1),(49,1),(54,1),(56,1),(75,1)}
        42:{3,5,7}:{(28,1),(29,1),(34,1),(52,1)}
        43:{1,2,3,5}:{(30,1),(31,1),(57,1)}
        44:{1,2,4,6}:{(31,1),(32,1),(33,1),(54,1),(57,1),(58,1)}
        45:{2,3,4,7}:{(32,1),(34,1),(55,1),(58,1),(94,1)}
        46:{1,3,4,7}:{(33,1),(34,1),(56,1),(58,1),(94,1)}
        47:{4,6,7}:{(35,1),(37,1)}
        48:{2,4,5,6}:{(36,1),(40,1),(62,1)}
        49:{1,4,5,6}:{(36,1),(41,1),(63,1)}
        50:{3,4,5,7}:{(36,1),(37,1),(42,1),(60,1),(62,1),(63,1),(87,1),(104,1)}
        51:{1,2,3,4,7}:{(39,1),(64,1),(70,1),(90,1)}
        52:{3,6,7}:{(38,1),(42,1)}
        53:{1,2,3,5}:{(39,1),(67,1)}
        54:{1,2,5,6}:{(40,1),(41,1),(44,1),(69,1)}
        55:{2,3,5,7}:{(40,1),(42,1),(45,1),(62,1),(65,1),(69,1),(87,1)}
        56:{1,3,5,7}:{(41,1),(42,1),(46,1),(63,1),(66,1),(69,1),(87,1)}
        57:{1,2,3,6}:{(43,1),(44,1),(70,1)}
        58:{1,2,4,7}:{(44,1),(45,1),(46,1),(69,1),(70,1)}
        59:{4,5,6,7}:{(47,1),(71,1),(102,1)}
        60:{3,4,6,7}:{(47,1),(50,1),(52,1),(71,1),(72,1),(73,1),(93,1),(102,1)}
        61:{1,2,4,5,6}:{(48,1),(49,1),(54,1),(75,1),(76,1),(80,1),(95,1),(101,1)}
        62:{2,4,5,7}:{(48,1),(50,1),(55,1),(72,1)}
        63:{1,4,5,7}:{(49,1),(50,1),(56,1),(73,1)}
        64:{1,2,3,5,7}:{(51,1),(53,1),(77,1),(78,1)}
        65:{2,3,6,7}:{(52,1),(55,1),(72,1),(79,1),(93,1)}
        66:{1,3,6,7}:{(52,1),(56,1),(73,1),(79,1),(93,1)}
        67:{1,2,4,5}:{(53,1),(74,1),(80,1)}
        68:{1,2,3,5,6}:{(53,1),(54,1),(57,1),(75,1),(78,1),(80,1),(81,1),(95,1)}
        69:{1,2,5,7}:{(54,1),(55,1),(56,1),(58,1),(79,1)}
        70:{1,2,3,7}:{(57,1),(58,1)}
        71:{3,5,6,7}:{(59,1),(60,1),(82,1),(83,1)}
        72:{2,4,6,7}:{(60,1),(62,1),(65,1),(82,1)}
        73:{1,4,6,7}:{(60,1),(63,1),(66,1),(83,1)}
        74:{3,4,5}:{(67,1),(86,1)}
        75:{3,5,6}:{(61,1),(86,1),(87,1)}
        76:{1,2,4,5,7}:{(61,1),(62,1),(63,1),(69,1),(85,1),(87,1),(90,1),(100,1),(104,1)}
        77:{1,2,4,5,7}:{(64,1),(67,1),(84,1),(88,1),(90,1),(100,1)}
        78:{1,2,3,6}:{(64,1),(88,1)}
        79:{1,2,6,7}:{(65,1),(66,1),(69,1)}
        80:{1,2,4,6}:{(67,1),(68,1),(86,1),(90,1)}
        81:{1,2,3,5,7}:{(68,1),(69,1),(70,1),(87,1),(89,1),(90,1),(100,1)}
        82:{2,5,6,7}:{(71,1),(72,1)}
        83:{1,5,6,7}:{(71,1),(73,1)}
        84:{3,4,5,7}:{(74,1),(77,1),(92,1),(94,1),(103,1)}
        85:{1,2,4,6,7}:{(72,1),(73,1),(76,1),(79,1),(91,1),(93,1),(102,1)}
        86:{3,4,6}:{(74,1),(75,1),(80,1),(94,1)}
        87:{3,5,7}:{(75,1),(76,1),(93,1),(94,1)}
        88:{1,2,4,6}:{(77,1),(78,1),(92,1),(95,1)}
        89:{1,2,3,6,7}:{(78,1),(79,1),(81,1),(93,1),(96,1)}
        90:{1,2,4,7}:{(80,1),(81,1),(94,1)}
        91:{1,2,5,6,7}:{(82,1),(83,1),(85,1),(97,1),(100,1)}
        92:{3,4,6}:{(84,1),(88,1),(98,1)}
        93:{3,6,7}:{(85,1),(87,1)}
        94:{3,4,7}:{(86,1),(87,1),(90,1)}
        95:{1,2,5,6}:{(88,1),(98,1),(100,1)}
        96:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(99,1),(100,1)}
        97:{3,5,6,7}:{(91,1),(93,1),(102,1),(103,1)}
        98:{3,5,6}:{(92,1),(95,1),(101,1),(103,1)}
        99:{3,4,6,7}:{(92,1),(93,1),(94,1),(96,1),(102,1),(103,1)}
       100:{1,2,5,7}:{(95,1),(96,1),(103,1)}
       101:{4,5,6}:{(98,1),(104,1)}
       102:{4,6,7}:{(97,1),(104,1)}
       103:{3,5,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{4,5,7}:{(101,1),(102,1),(103,1)}

1896 :  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:{3,4,5}:{(2,1),(7,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
        6:{1,2,3,7}:{(3,1),(9,1)}
        7:{3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,5,6}:{(5,1),(10,1),(12,1)}
        9:{1,2,4,7}:{(5,1),(6,1),(11,1),(12,1)}
       10:{3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{3,4,7}:{(7,1),(9,1),(14,1)}
       12:{1,2,5,7}:{(8,1),(9,1),(14,1),(15,1)}
       13:{4,5,6}:{(10,1),(16,1)}
       14:{3,5,7}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
       15:{1,2,6,7}:{(12,1),(17,1)}
       16:{4,5,7}:{(13,1),(14,1),(18,1)}
       17:{3,6,7}:{(14,1),(15,1),(18,1)}
       18:{4,6,7}:{(16,1),(17,1),(19,1)}
       19:{5,6,7}:{(18,1)}

1897 :   0:{2,3,4,5,7}:{(2,1),(3,1),(18,1),(57,1),(117,1),(130,1),(134,1),(169,1),(176,1),(181,1)}
         1:{2,4,5,6,7}:{(4,1),(26,1),(199,1)}
         2:{2,3,4,6}:{(0,1),(8,1),(9,1),(102,1),(189,1),(194,1),(196,1)}
         3:{1,2,4,5,7}:{(0,1),(9,1),(10,1),(35,1),(40,1),(94,1),(99,1),(103,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(12,1),(206,1)}
         5:{1,3,4,5,7}:{(14,1),(15,1),(24,1),(51,1),(72,1),(131,1),(168,1),(172,1),(176,1),(200,1)}
         6:{2,3,4,6,7}:{(2,1),(18,1),(19,1),(26,1),(74,1),(130,1),(135,1)}
         7:{3,4,5,6}:{(17,1),(20,1),(21,1),(70,1),(172,1),(201,1)}
         8:{2,3,5,6}:{(2,1),(18,1),(21,1),(22,1),(70,1),(117,1),(183,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(22,1),(23,1),(71,1)}
        10:{1,3,5,7}:{(3,1),(23,1),(24,1),(72,1),(176,1)}
        11:{3,4,6,7}:{(4,1),(17,1),(25,1),(26,1),(74,1),(201,1)}
        12:{1,5,6,7}:{(4,1),(25,1),(209,1)}
        13:{2,3,5,6,7}:{(4,1),(18,1),(26,1),(27,1),(74,1),(170,1)}
        14:{1,3,4,6}:{(5,1),(31,1),(32,1),(146,1),(160,1),(194,1),(207,1)}
        15:{1,2,4,5,7}:{(5,1),(32,1),(33,1),(35,1),(81,1),(94,1),(143,1),(147,1)}
        16:{1,2,3,5,7}:{(10,1),(33,1),(34,1),(35,1),(94,1)}
        17:{3,4,5,7}:{(7,1),(11,1),(38,1),(39,1),(98,1)}
        18:{2,3,5,7}:{(6,1),(8,1),(39,1),(40,1),(98,1),(162,1)}
        19:{1,2,4,6,7}:{(6,1),(9,1),(40,1),(41,1),(99,1)}
        20:{1,4,5,6}:{(7,1),(38,1),(42,1),(190,1),(207,1)}
        21:{2,4,5,6}:{(7,1),(8,1),(39,1),(147,1),(189,1)}
        22:{1,2,5,6}:{(8,1),(9,1),(40,1),(44,1),(94,1)}
        23:{1,3,6}:{(9,1),(10,1),(194,1)}
        24:{1,3,4,7}:{(10,1),(35,1),(45,1),(99,1),(150,1)}
        25:{1,4,6,7}:{(11,1),(12,1),(38,1),(46,1),(207,1)}
        26:{2,4,6,7}:{(11,1),(13,1),(39,1),(189,1)}
        27:{1,2,5,6,7}:{(12,1),(13,1),(40,1),(47,1),(48,1),(152,1),(162,1)}
        28:{1,4,5,6,7}:{(49,1),(107,1),(137,1)}
        29:{1,3,4,6,7}:{(14,1),(51,1),(52,1),(107,1),(165,1),(168,1),(197,1)}
        30:{3,4,5,6}:{(50,1),(53,1),(54,1),(115,1),(134,1),(182,1)}
        31:{1,3,5,6}:{(14,1),(51,1),(53,1),(55,1),(72,1),(115,1),(209,1)}
        32:{1,2,4,6}:{(14,1),(15,1),(55,1),(56,1),(116,1)}
        33:{2,3,5,7}:{(15,1),(56,1),(57,1),(117,1),(176,1)}
        34:{1,2,3,6}:{(16,1),(23,1),(56,1),(62,1)}
        35:{1,2,4,7}:{(16,1),(24,1),(57,1),(62,1)}
        36:{1,3,4,5}:{(59,1),(63,1),(128,1),(134,1),(180,1)}
        37:{2,3,4,5}:{(60,1),(64,1),(127,1),(172,1),(179,1)}
        38:{1,4,5,7}:{(17,1),(20,1),(25,1),(65,1)}
        39:{2,4,5,7}:{(17,1),(18,1),(21,1),(26,1)}
        40:{1,2,5,7}:{(18,1),(19,1),(22,1),(67,1)}
        41:{1,3,6,7}:{(19,1),(23,1),(67,1),(74,1)}
        42:{1,3,5,6}:{(20,1),(59,1),(65,1),(69,1),(70,1),(180,1),(204,1)}
        43:{1,2,4,5,6}:{(20,1),(21,1),(22,1),(66,1),(69,1),(70,1),(71,1),(125,1),(133,1),(137,1),(177,1),(183,1)}
        44:{1,3,5,6}:{(22,1),(23,1),(67,1),(70,1),(71,1),(72,1)}
        45:{1,3,4,6}:{(23,1),(24,1),(62,1),(71,1),(72,1),(124,1)}
        46:{1,3,6,7}:{(25,1),(65,1),(73,1),(74,1),(204,1)}
        47:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(66,1),(73,1),(74,1),(75,1),(135,1),(177,1)}
        48:{1,3,5,6,7}:{(27,1),(67,1),(74,1),(75,1),(132,1),(136,1)}
        49:{3,5,6,7}:{(28,1),(76,1),(78,1),(163,1)}
        50:{3,4,5,7}:{(30,1),(76,1),(79,1),(80,1),(142,1)}
        51:{1,3,5,7}:{(29,1),(31,1),(79,1),(81,1),(142,1),(205,1)}
        52:{1,2,4,6,7}:{(29,1),(32,1),(81,1),(82,1),(143,1)}
        53:{1,4,5,6}:{(30,1),(31,1),(79,1),(103,1),(160,1)}
        54:{2,4,5,6}:{(30,1),(80,1),(83,1),(161,1),(196,1)}
        55:{1,2,5,6}:{(31,1),(32,1),(81,1),(85,1),(94,1)}
        56:{2,3,6}:{(32,1),(33,1),(194,1)}
        57:{2,3,4,7}:{(33,1),(35,1),(86,1),(143,1),(150,1)}
        58:{1,2,3,6,7}:{(34,1),(41,1),(82,1),(89,1),(90,1),(104,1),(184,1),(194,1),(208,1)}
        59:{1,3,4,6}:{(36,1),(42,1),(87,1),(91,1),(102,1)}
        60:{2,3,4,6}:{(37,1),(83,1),(88,1),(92,1),(146,1)}
        61:{1,2,3,5,6}:{(34,1),(44,1),(85,1),(89,1),(93,1),(94,1),(101,1),(145,1),(152,1),(153,1),(156,1),(194,1),(195,1),(208,1)}
        62:{1,2,4,6}:{(34,1),(35,1),(45,1),(86,1),(94,1)}
        63:{1,2,4,5}:{(36,1),(91,1),(95,1),(157,1),(161,1),(195,1)}
        64:{1,2,4,5}:{(37,1),(92,1),(96,1),(157,1),(190,1),(195,1)}
        65:{1,3,5,7}:{(38,1),(42,1),(46,1),(87,1),(97,1),(98,1)}
        66:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(47,1),(97,1),(98,1),(99,1),(106,1),(158,1),(162,1)}
        67:{1,3,5,7}:{(40,1),(41,1),(44,1),(98,1),(99,1)}
        68:{1,3,4,6,7}:{(41,1),(45,1),(90,1),(99,1),(100,1),(105,1),(150,1),(160,1),(194,1)}
        69:{1,2,5,6}:{(42,1),(91,1),(97,1),(101,1),(195,1),(208,1)}
        70:{3,5,6}:{(43,1),(98,1),(102,1),(156,1),(194,1)}
        71:{1,4,6}:{(44,1),(99,1),(102,1),(103,1)}
        72:{1,3,5}:{(45,1),(94,1),(103,1),(156,1)}
        73:{1,2,6,7}:{(46,1),(97,1),(104,1),(208,1)}
        74:{3,6,7}:{(47,1),(98,1),(194,1)}
        75:{1,4,6,7}:{(48,1),(99,1),(105,1),(106,1),(160,1)}
        76:{3,4,6,7}:{(49,1),(50,1),(107,1),(108,1),(165,1),(182,1)}
        77:{1,3,5,6,7}:{(49,1),(51,1),(107,1),(109,1),(132,1),(165,1)}
        78:{2,5,6,7}:{(49,1),(108,1),(183,1)}
        79:{1,4,5,7}:{(50,1),(51,1),(53,1),(107,1)}
        80:{2,4,5,7}:{(50,1),(54,1),(108,1),(110,1)}
        81:{1,2,5,7}:{(51,1),(52,1),(55,1),(112,1)}
        82:{2,3,6,7}:{(52,1),(56,1),(112,1),(165,1)}
        83:{2,3,5,6}:{(54,1),(60,1),(110,1),(114,1),(115,1),(179,1),(203,1)}
        84:{1,2,4,5,6}:{(53,1),(54,1),(55,1),(111,1),(114,1),(115,1),(116,1),(125,1),(171,1),(177,1),(199,1),(209,1)}
        85:{2,3,5,6}:{(55,1),(56,1),(112,1),(115,1),(116,1),(117,1)}
        86:{2,3,4,6}:{(56,1),(57,1),(62,1),(116,1),(117,1),(124,1)}
        87:{1,3,4,7}:{(59,1),(65,1),(118,1),(130,1)}
        88:{2,3,4,7}:{(60,1),(110,1),(119,1),(168,1)}
        89:{1,2,3,5,7}:{(58,1),(61,1),(67,1),(112,1),(120,1),(121,1),(129,1),(167,1),(173,1),(176,1),(202,1)}
        90:{1,2,4,6,7}:{(58,1),(62,1),(68,1),(113,1),(120,1),(121,1),(135,1),(177,1),(197,1)}
        91:{1,2,4,6}:{(59,1),(63,1),(69,1),(118,1),(122,1),(133,1)}
        92:{1,2,4,6}:{(60,1),(64,1),(114,1),(119,1),(123,1),(171,1)}
        93:{1,2,4,6}:{(61,1),(71,1),(116,1),(120,1),(124,1),(125,1),(133,1),(171,1)}
        94:{1,2,5}:{(62,1),(72,1),(117,1)}
        95:{2,3,5}:{(63,1),(122,1),(127,1)}
        96:{1,3,5}:{(64,1),(123,1),(128,1)}
        97:{1,2,5,7}:{(65,1),(69,1),(73,1),(118,1),(129,1)}
        98:{3,5,7}:{(66,1),(70,1),(74,1),(130,1)}
        99:{1,4,7}:{(67,1),(71,1),(130,1)}
       100:{1,3,5,7}:{(68,1),(72,1),(121,1),(131,1),(132,1),(136,1),(176,1)}
       101:{2,3,5,6}:{(69,1),(70,1),(122,1),(129,1),(133,1),(179,1),(183,1),(203,1)}
       102:{3,4,6}:{(70,1),(71,1),(130,1),(133,1),(134,1)}
       103:{1,4,5}:{(71,1),(72,1),(134,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(129,1),(135,1),(203,1)}
       105:{3,4,6,7}:{(74,1),(75,1),(130,1),(135,1),(136,1),(182,1)}
       106:{1,4,5,7}:{(75,1),(136,1),(137,1)}
       107:{1,4,6,7}:{(76,1),(77,1),(79,1),(160,1)}
       108:{2,4,6,7}:{(76,1),(78,1),(80,1),(138,1),(196,1)}
       109:{1,2,5,6,7}:{(77,1),(78,1),(81,1),(139,1),(140,1),(152,1),(205,1)}
       110:{2,3,5,7}:{(80,1),(83,1),(88,1),(138,1),(141,1),(142,1)}
       111:{1,2,4,5,7}:{(79,1),(80,1),(81,1),(84,1),(139,1),(141,1),(142,1),(143,1),(186,1),(187,1),(205,1)}
       112:{2,3,5,7}:{(81,1),(82,1),(85,1),(142,1),(143,1)}
       113:{2,3,4,6,7}:{(82,1),(86,1),(90,1),(143,1),(144,1),(150,1),(185,1),(189,1),(194,1)}
       114:{1,2,5,6}:{(83,1),(92,1),(141,1),(145,1),(195,1),(208,1)}
       115:{3,5,6}:{(84,1),(142,1),(146,1),(156,1),(194,1)}
       116:{2,4,6}:{(85,1),(143,1),(146,1),(147,1)}
       117:{2,3,5}:{(86,1),(94,1),(147,1),(156,1)}
       118:{1,2,4,7}:{(87,1),(91,1),(97,1),(148,1),(158,1)}
       119:{1,2,4,7}:{(88,1),(92,1),(141,1),(149,1),(187,1)}
       120:{1,2,4,7}:{(89,1),(93,1),(99,1),(143,1),(150,1),(158,1),(187,1)}
       121:{1,2,5,7}:{(90,1),(94,1),(100,1),(144,1),(152,1),(162,1),(205,1)}
       122:{2,3,6}:{(91,1),(95,1),(148,1)}
       123:{1,3,6}:{(92,1),(96,1),(149,1)}
       124:{3,4,6}:{(93,1),(150,1),(156,1),(194,1)}
       125:{1,2,4,5}:{(93,1),(94,1),(103,1),(147,1),(156,1),(161,1),(190,1),(195,1)}
       126:{1,2,3,5}:{(95,1),(96,1),(153,1),(157,1),(195,1)}
       127:{2,3,4}:{(95,1),(157,1)}
       128:{1,3,4}:{(96,1),(157,1)}
       129:{2,3,5,7}:{(97,1),(98,1),(101,1),(104,1),(148,1),(158,1),(162,1)}
       130:{3,4,7}:{(98,1),(99,1),(102,1),(158,1)}
       131:{1,4,5,7}:{(99,1),(100,1),(103,1),(159,1),(160,1)}
       132:{1,3,5,6}:{(100,1),(152,1),(160,1),(163,1),(194,1)}
       133:{2,4,6}:{(101,1),(102,1),(158,1),(161,1)}
       134:{3,4,5}:{(102,1),(103,1),(156,1),(161,1)}
       135:{2,4,6,7}:{(104,1),(105,1),(158,1),(162,1),(196,1)}
       136:{3,5,7}:{(105,1),(106,1),(162,1),(163,1)}
       137:{1,4,5,6}:{(106,1),(160,1),(163,1)}
       138:{2,3,6,7}:{(108,1),(110,1),(164,1),(165,1),(203,1)}
       139:{1,2,4,6,7}:{(107,1),(108,1),(109,1),(111,1),(164,1),(165,1),(166,1),(177,1),(197,1)}
       140:{2,3,5,6,7}:{(109,1),(112,1),(165,1),(166,1),(170,1),(198,1)}
       141:{1,2,5,7}:{(110,1),(114,1),(119,1),(164,1),(167,1)}
       142:{3,5,7}:{(111,1),(115,1),(165,1),(168,1)}
       143:{2,4,7}:{(112,1),(116,1),(168,1)}
       144:{2,3,5,7}:{(113,1),(117,1),(121,1),(169,1),(170,1),(176,1),(198,1)}
       145:{1,3,5,6}:{(114,1),(115,1),(123,1),(167,1),(171,1),(180,1),(204,1),(209,1)}
       146:{3,4,6}:{(115,1),(116,1),(168,1),(171,1),(172,1)}
       147:{2,4,5}:{(116,1),(117,1),(172,1)}
       148:{2,3,7}:{(118,1),(122,1)}
       149:{1,3,7}:{(119,1),(123,1)}
       150:{3,4,7}:{(120,1),(124,1),(176,1)}
       151:{1,2,4,5,7}:{(120,1),(121,1),(125,1),(131,1),(169,1),(176,1),(177,1),(181,1),(200,1),(202,1)}
       152:{1,2,5,6}:{(121,1),(132,1),(170,1),(177,1),(183,1),(209,1)}
       153:{1,2,3,6}:{(122,1),(123,1),(126,1),(173,1),(178,1)}
       154:{2,3,4,6}:{(122,1),(124,1),(127,1),(133,1),(174,1),(178,1),(179,1),(203,1)}
       155:{1,3,4,6}:{(123,1),(124,1),(128,1),(171,1),(175,1),(178,1),(180,1),(204,1)}
       156:{3,5}:{(124,1),(125,1)}
       157:{1,2,4}:{(126,1),(127,1),(128,1)}
       158:{2,4,7}:{(129,1),(130,1),(133,1)}
       159:{3,4,5,7}:{(130,1),(131,1),(134,1),(136,1),(176,1),(181,1),(182,1)}
       160:{1,4,6}:{(131,1),(132,1),(182,1)}
       161:{2,4,5}:{(133,1),(134,1),(179,1)}
       162:{2,5,7}:{(135,1),(136,1),(183,1)}
       163:{3,5,6}:{(136,1),(137,1),(182,1),(183,1)}
       164:{1,2,6,7}:{(138,1),(141,1),(184,1),(208,1)}
       165:{3,6,7}:{(139,1),(142,1),(194,1)}
       166:{2,4,6,7}:{(140,1),(143,1),(185,1),(186,1),(189,1)}
       167:{1,3,5,7}:{(141,1),(142,1),(145,1),(149,1),(184,1),(187,1),(205,1)}
       168:{3,4,7}:{(142,1),(143,1),(146,1),(187,1)}
       169:{2,4,5,7}:{(143,1),(144,1),(147,1),(188,1),(189,1)}
       170:{2,3,5,6}:{(144,1),(152,1),(189,1),(194,1),(206,1)}
       171:{1,4,6}:{(145,1),(146,1),(187,1),(190,1)}
       172:{3,4,5}:{(146,1),(147,1),(156,1),(190,1)}
       173:{1,2,3,7}:{(148,1),(149,1),(153,1),(191,1)}
       174:{2,3,4,7}:{(148,1),(150,1),(154,1),(158,1),(191,1),(192,1)}
       175:{1,3,4,7}:{(149,1),(150,1),(155,1),(187,1),(191,1),(193,1)}
       176:{3,5,7}:{(150,1),(151,1),(156,1),(194,1)}
       177:{1,2,4,6}:{(151,1),(152,1),(160,1),(189,1),(194,1),(196,1),(207,1),(208,1)}
       178:{1,2,4,6}:{(153,1),(154,1),(155,1),(157,1),(191,1),(195,1),(208,1)}
       179:{2,3,5}:{(154,1),(156,1),(161,1),(195,1)}
       180:{1,3,5}:{(155,1),(156,1),(190,1),(195,1)}
       181:{2,4,5,7}:{(158,1),(159,1),(161,1),(162,1),(192,1),(196,1)}
       182:{3,4,6}:{(159,1),(160,1),(163,1),(194,1),(196,1)}
       183:{2,5,6}:{(162,1),(163,1),(196,1)}
       184:{1,3,6,7}:{(164,1),(165,1),(167,1),(197,1),(204,1)}
       185:{3,4,6,7}:{(165,1),(166,1),(168,1),(197,1),(198,1),(201,1)}
       186:{2,4,5,7}:{(166,1),(198,1),(199,1)}
       187:{1,4,7}:{(167,1),(168,1),(171,1)}
       188:{3,4,5,7}:{(168,1),(169,1),(172,1),(176,1),(198,1),(200,1),(201,1)}
       189:{2,4,6}:{(169,1),(170,1),(201,1)}
       190:{1,4,5}:{(171,1),(172,1),(180,1)}
       191:{1,2,4,7}:{(173,1),(174,1),(175,1),(178,1),(202,1)}
       192:{2,3,5,7}:{(174,1),(176,1),(179,1),(181,1),(202,1),(203,1)}
       193:{1,3,5,7}:{(175,1),(176,1),(180,1),(200,1),(202,1),(204,1)}
       194:{3,6}:{(176,1),(177,1)}
       195:{1,2,5}:{(178,1),(179,1),(180,1)}
       196:{2,4,6}:{(181,1),(182,1),(183,1),(203,1)}
       197:{1,4,6,7}:{(184,1),(185,1),(187,1),(205,1),(207,1)}
       198:{3,5,7}:{(185,1),(186,1),(205,1),(206,1)}
       199:{2,4,5,6}:{(186,1),(189,1),(206,1)}
       200:{1,4,5,7}:{(187,1),(188,1),(190,1),(193,1),(205,1),(207,1)}
       201:{3,4,6}:{(188,1),(189,1),(194,1),(206,1),(207,1)}
       202:{1,2,5,7}:{(191,1),(192,1),(193,1),(195,1),(208,1)}
       203:{2,3,6}:{(192,1),(194,1),(196,1),(208,1)}
       204:{1,3,6}:{(193,1),(194,1),(207,1),(208,1)}
       205:{1,5,7}:{(197,1),(198,1),(209,1)}
       206:{3,5,6}:{(198,1),(199,1),(201,1),(209,1)}
       207:{1,4,6}:{(200,1),(201,1),(204,1),(209,1)}
       208:{1,2,6}:{(202,1),(203,1),(204,1)}
       209:{1,5,6}:{(205,1),(206,1),(207,1)}

1898 :   0:{2,4,5,6,7}:{(1,1),(13,1),(205,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(5,1),(208,1)}
         2:{3,4,5,6}:{(7,1),(8,1),(9,1),(35,1),(184,1),(204,1)}
         3:{2,3,4,5,7}:{(10,1),(11,1),(30,1),(82,1),(83,1),(89,1),(144,1),(150,1),(185,1),(188,1)}
         4:{3,4,6,7}:{(1,1),(7,1),(12,1),(13,1),(43,1),(204,1)}
         5:{1,5,6,7}:{(1,1),(12,1),(209,1)}
         6:{2,3,5,6,7}:{(1,1),(13,1),(14,1),(30,1),(43,1),(189,1)}
         7:{3,4,5,7}:{(2,1),(4,1),(18,1),(19,1),(54,1)}
         8:{1,4,5,6}:{(2,1),(17,1),(18,1),(192,1),(207,1)}
         9:{2,4,5,6}:{(2,1),(16,1),(19,1),(172,1),(199,1)}
        10:{2,3,4,6}:{(3,1),(16,1),(23,1),(55,1),(169,1),(197,1),(199,1)}
        11:{1,2,4,5,7}:{(3,1),(23,1),(24,1),(50,1),(62,1),(111,1),(112,1),(123,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(18,1),(25,1),(207,1)}
        13:{2,4,6,7}:{(4,1),(6,1),(19,1),(199,1)}
        14:{1,2,5,6,7}:{(5,1),(6,1),(26,1),(27,1),(50,1),(125,1),(174,1)}
        15:{1,3,4,5}:{(28,1),(29,1),(83,1),(131,1),(179,1)}
        16:{2,3,5,6}:{(9,1),(10,1),(30,1),(31,1),(35,1),(150,1),(153,1)}
        17:{1,3,5,6}:{(8,1),(28,1),(32,1),(33,1),(35,1),(179,1),(202,1)}
        18:{1,4,5,7}:{(7,1),(8,1),(12,1),(32,1)}
        19:{2,4,5,7}:{(7,1),(9,1),(13,1),(30,1)}
        20:{1,2,4,5,6}:{(8,1),(9,1),(31,1),(33,1),(34,1),(35,1),(79,1),(81,1),(96,1),(142,1),(153,1),(186,1)}
        21:{1,3,4,5,7}:{(36,1),(37,1),(41,1),(85,1),(93,1),(143,1),(183,1),(184,1),(185,1),(201,1)}
        22:{2,3,4,6,7}:{(10,1),(13,1),(30,1),(39,1),(43,1),(82,1),(94,1)}
        23:{1,2,4,6}:{(10,1),(11,1),(31,1),(40,1),(79,1)}
        24:{1,3,5,7}:{(11,1),(40,1),(41,1),(93,1),(185,1)}
        25:{1,3,6,7}:{(12,1),(32,1),(42,1),(43,1),(202,1)}
        26:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(34,1),(42,1),(43,1),(44,1),(94,1),(186,1)}
        27:{1,3,5,6,7}:{(14,1),(43,1),(44,1),(78,1),(95,1),(152,1)}
        28:{1,3,4,6}:{(15,1),(17,1),(46,1),(47,1),(55,1)}
        29:{1,2,4,5}:{(15,1),(47,1),(48,1),(102,1),(114,1),(160,1)}
        30:{2,3,5,7}:{(16,1),(19,1),(22,1),(50,1),(54,1),(125,1)}
        31:{1,2,5,6}:{(16,1),(23,1),(50,1),(51,1),(123,1)}
        32:{1,3,5,7}:{(17,1),(18,1),(25,1),(46,1),(52,1),(54,1)}
        33:{1,2,5,6}:{(17,1),(47,1),(52,1),(53,1),(160,1),(194,1)}
        34:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(26,1),(50,1),(52,1),(54,1),(67,1),(111,1),(113,1),(125,1)}
        35:{3,5,6}:{(20,1),(54,1),(55,1),(166,1),(197,1)}
        36:{1,3,4,6}:{(21,1),(57,1),(59,1),(164,1),(168,1),(197,1),(207,1)}
        37:{1,2,4,5,7}:{(21,1),(59,1),(60,1),(62,1),(118,1),(123,1),(171,1),(172,1)}
        38:{1,2,3,5,7}:{(24,1),(60,1),(61,1),(62,1),(123,1)}
        39:{1,2,4,6,7}:{(22,1),(23,1),(50,1),(63,1),(111,1)}
        40:{1,3,6}:{(23,1),(24,1),(197,1)}
        41:{1,3,4,7}:{(24,1),(62,1),(64,1),(111,1),(165,1)}
        42:{1,2,6,7}:{(25,1),(52,1),(65,1),(194,1)}
        43:{3,6,7}:{(26,1),(54,1),(197,1)}
        44:{1,4,6,7}:{(27,1),(66,1),(67,1),(111,1),(168,1)}
        45:{2,3,4,5}:{(68,1),(69,1),(73,1),(135,1),(184,1)}
        46:{1,3,4,7}:{(28,1),(32,1),(71,1),(82,1)}
        47:{1,2,4,6}:{(28,1),(29,1),(33,1),(71,1),(72,1),(81,1)}
        48:{2,3,5}:{(29,1),(72,1),(73,1)}
        49:{3,4,5,6}:{(74,1),(75,1),(76,1),(83,1),(139,1),(145,1)}
        50:{1,2,5,7}:{(30,1),(31,1),(39,1),(78,1)}
        51:{1,3,5,6}:{(31,1),(35,1),(40,1),(78,1),(79,1),(93,1)}
        52:{1,2,5,7}:{(32,1),(33,1),(42,1),(71,1),(80,1)}
        53:{2,3,5,6}:{(33,1),(35,1),(72,1),(80,1),(81,1),(135,1),(153,1),(181,1)}
        54:{3,5,7}:{(34,1),(35,1),(43,1),(82,1)}
        55:{3,4,6}:{(35,1),(79,1),(81,1),(82,1),(83,1)}
        56:{1,4,5,6,7}:{(84,1),(96,1),(136,1)}
        57:{1,3,5,6}:{(36,1),(75,1),(85,1),(86,1),(93,1),(139,1),(209,1)}
        58:{1,3,4,6,7}:{(36,1),(85,1),(87,1),(136,1),(182,1),(183,1),(200,1)}
        59:{1,2,4,6}:{(36,1),(37,1),(86,1),(88,1),(148,1)}
        60:{2,3,5,7}:{(37,1),(88,1),(89,1),(150,1),(185,1)}
        61:{1,2,3,6}:{(38,1),(40,1),(88,1),(91,1)}
        62:{1,2,4,7}:{(38,1),(41,1),(89,1),(91,1)}
        63:{1,3,6,7}:{(39,1),(40,1),(43,1),(78,1)}
        64:{1,3,4,6}:{(40,1),(41,1),(79,1),(91,1),(93,1),(140,1)}
        65:{2,3,6,7}:{(42,1),(43,1),(80,1),(94,1),(181,1)}
        66:{3,4,6,7}:{(43,1),(44,1),(82,1),(94,1),(95,1),(145,1)}
        67:{1,4,5,7}:{(44,1),(95,1),(96,1)}
        68:{2,3,4,6}:{(45,1),(97,1),(98,1),(99,1),(164,1)}
        69:{1,2,4,5}:{(45,1),(99,1),(100,1),(102,1),(160,1),(192,1)}
        70:{1,2,3,5}:{(48,1),(100,1),(101,1),(102,1),(160,1)}
        71:{1,2,4,7}:{(46,1),(47,1),(52,1),(103,1),(113,1)}
        72:{2,3,6}:{(47,1),(48,1),(103,1)}
        73:{2,3,4}:{(48,1),(102,1)}
        74:{3,4,5,7}:{(49,1),(105,1),(106,1),(107,1),(163,1)}
        75:{1,4,5,6}:{(49,1),(57,1),(106,1),(112,1),(168,1)}
        76:{2,4,5,6}:{(49,1),(97,1),(107,1),(114,1),(169,1)}
        77:{1,2,3,5,6}:{(51,1),(53,1),(61,1),(101,1),(109,1),(110,1),(119,1),(123,1),(156,1),(160,1),(166,1),(174,1),(194,1),(197,1)}
        78:{1,3,5,7}:{(50,1),(51,1),(54,1),(63,1),(111,1)}
        79:{1,4,6}:{(51,1),(55,1),(111,1),(112,1)}
        80:{2,3,5,7}:{(52,1),(53,1),(54,1),(65,1),(103,1),(113,1),(125,1)}
        81:{2,4,6}:{(53,1),(55,1),(113,1),(114,1)}
        82:{3,4,7}:{(54,1),(55,1),(111,1),(113,1)}
        83:{3,4,5}:{(55,1),(112,1),(114,1),(166,1)}
        84:{3,5,6,7}:{(56,1),(105,1),(117,1),(126,1)}
        85:{1,3,5,7}:{(57,1),(58,1),(106,1),(118,1),(163,1),(206,1)}
        86:{1,2,5,6}:{(57,1),(59,1),(118,1),(119,1),(123,1)}
        87:{1,2,4,6,7}:{(58,1),(59,1),(118,1),(120,1),(171,1)}
        88:{2,3,6}:{(59,1),(60,1),(197,1)}
        89:{2,3,4,7}:{(60,1),(62,1),(121,1),(165,1),(171,1)}
        90:{1,2,3,6,7}:{(61,1),(63,1),(65,1),(109,1),(120,1),(122,1),(190,1),(194,1),(197,1)}
        91:{1,2,4,6}:{(61,1),(62,1),(64,1),(121,1),(123,1)}
        92:{1,3,4,6,7}:{(63,1),(64,1),(66,1),(111,1),(122,1),(124,1),(165,1),(168,1),(197,1)}
        93:{1,3,5}:{(64,1),(112,1),(123,1),(166,1)}
        94:{2,4,6,7}:{(65,1),(66,1),(113,1),(125,1),(169,1)}
        95:{3,5,7}:{(66,1),(67,1),(125,1),(126,1)}
        96:{1,4,5,6}:{(67,1),(126,1),(168,1)}
        97:{2,3,5,6}:{(68,1),(76,1),(127,1),(128,1),(135,1),(139,1),(181,1)}
        98:{2,3,4,7}:{(68,1),(127,1),(129,1),(183,1)}
        99:{1,2,4,6}:{(68,1),(69,1),(128,1),(129,1),(130,1),(177,1)}
       100:{1,3,5}:{(69,1),(130,1),(131,1)}
       101:{1,2,3,6}:{(70,1),(72,1),(130,1),(132,1),(133,1)}
       102:{1,2,4}:{(70,1),(73,1),(131,1)}
       103:{2,3,7}:{(71,1),(72,1)}
       104:{2,3,4,6}:{(72,1),(73,1),(81,1),(133,1),(134,1),(135,1),(140,1),(181,1)}
       105:{3,4,6,7}:{(74,1),(84,1),(136,1),(137,1),(145,1),(182,1)}
       106:{1,4,5,7}:{(74,1),(75,1),(85,1),(136,1)}
       107:{2,4,5,7}:{(74,1),(76,1),(127,1),(137,1)}
       108:{1,2,4,5,6}:{(75,1),(76,1),(86,1),(128,1),(138,1),(139,1),(142,1),(148,1),(177,1),(186,1),(205,1),(209,1)}
       109:{1,2,3,5,7}:{(77,1),(78,1),(80,1),(90,1),(132,1),(141,1),(147,1),(151,1),(176,1),(180,1),(185,1)}
       110:{1,2,4,6}:{(77,1),(79,1),(81,1),(140,1),(141,1),(142,1),(148,1),(177,1)}
       111:{1,4,7}:{(78,1),(79,1),(82,1)}
       112:{1,4,5}:{(79,1),(83,1),(93,1)}
       113:{2,4,7}:{(80,1),(81,1),(82,1)}
       114:{2,4,5}:{(81,1),(83,1),(135,1)}
       115:{3,4,5,7}:{(82,1),(83,1),(95,1),(143,1),(144,1),(145,1),(185,1)}
       116:{1,3,5,6,7}:{(84,1),(85,1),(136,1),(146,1),(152,1),(182,1)}
       117:{2,5,6,7}:{(84,1),(137,1),(153,1)}
       118:{1,2,5,7}:{(85,1),(86,1),(87,1),(147,1)}
       119:{2,3,5,6}:{(86,1),(88,1),(139,1),(147,1),(148,1),(150,1)}
       120:{2,3,6,7}:{(87,1),(88,1),(147,1),(182,1)}
       121:{2,3,4,6}:{(88,1),(89,1),(91,1),(140,1),(148,1),(150,1)}
       122:{1,2,4,6,7}:{(90,1),(91,1),(92,1),(94,1),(141,1),(149,1),(151,1),(186,1),(200,1)}
       123:{1,2,5}:{(91,1),(93,1),(150,1)}
       124:{1,3,5,7}:{(92,1),(93,1),(95,1),(143,1),(151,1),(152,1),(185,1)}
       125:{2,5,7}:{(94,1),(95,1),(153,1)}
       126:{3,5,6}:{(95,1),(96,1),(145,1),(153,1)}
       127:{2,3,5,7}:{(97,1),(98,1),(107,1),(154,1),(155,1),(163,1)}
       128:{1,2,5,6}:{(97,1),(99,1),(155,1),(156,1),(160,1),(194,1)}
       129:{1,2,4,7}:{(98,1),(99,1),(155,1),(157,1),(191,1)}
       130:{1,3,6}:{(99,1),(100,1),(157,1)}
       131:{1,3,4}:{(100,1),(102,1)}
       132:{1,2,3,7}:{(101,1),(103,1),(157,1),(159,1)}
       133:{1,2,4,6}:{(101,1),(102,1),(104,1),(158,1),(159,1),(160,1),(194,1)}
       134:{2,3,4,7}:{(103,1),(104,1),(113,1),(159,1),(161,1),(165,1)}
       135:{2,3,5}:{(104,1),(114,1),(160,1),(166,1)}
       136:{1,4,6,7}:{(105,1),(106,1),(116,1),(168,1)}
       137:{2,4,6,7}:{(105,1),(107,1),(117,1),(154,1),(169,1)}
       138:{1,2,4,5,7}:{(106,1),(107,1),(108,1),(118,1),(155,1),(162,1),(163,1),(171,1),(191,1),(198,1),(206,1)}
       139:{3,5,6}:{(108,1),(163,1),(164,1),(166,1),(197,1)}
       140:{3,4,6}:{(110,1),(165,1),(166,1),(197,1)}
       141:{1,2,4,7}:{(109,1),(110,1),(111,1),(113,1),(165,1),(171,1),(191,1)}
       142:{1,2,4,5}:{(110,1),(112,1),(114,1),(123,1),(160,1),(166,1),(172,1),(192,1)}
       143:{1,4,5,7}:{(111,1),(112,1),(115,1),(124,1),(168,1)}
       144:{2,4,5,7}:{(113,1),(114,1),(115,1),(125,1),(161,1),(169,1)}
       145:{3,4,6}:{(115,1),(126,1),(168,1),(169,1),(197,1)}
       146:{1,2,5,6,7}:{(116,1),(117,1),(118,1),(162,1),(170,1),(174,1),(206,1)}
       147:{2,3,5,7}:{(118,1),(119,1),(120,1),(163,1),(171,1)}
       148:{2,4,6}:{(119,1),(164,1),(171,1),(172,1)}
       149:{2,3,4,6,7}:{(120,1),(121,1),(122,1),(165,1),(171,1),(173,1),(195,1),(197,1),(199,1)}
       150:{2,3,5}:{(121,1),(123,1),(166,1),(172,1)}
       151:{1,2,5,7}:{(122,1),(123,1),(124,1),(125,1),(173,1),(174,1),(206,1)}
       152:{1,3,5,6}:{(124,1),(126,1),(168,1),(174,1),(197,1)}
       153:{2,5,6}:{(125,1),(126,1),(169,1)}
       154:{2,3,6,7}:{(127,1),(137,1),(175,1),(181,1),(182,1)}
       155:{1,2,5,7}:{(127,1),(128,1),(129,1),(175,1),(176,1)}
       156:{1,3,5,6}:{(128,1),(130,1),(139,1),(176,1),(177,1),(179,1),(202,1),(209,1)}
       157:{1,3,7}:{(129,1),(130,1)}
       158:{1,3,4,6}:{(130,1),(131,1),(133,1),(140,1),(177,1),(178,1),(179,1),(202,1)}
       159:{1,2,4,7}:{(132,1),(133,1),(134,1),(178,1),(180,1)}
       160:{1,2,5}:{(133,1),(135,1),(179,1)}
       161:{2,3,5,7}:{(134,1),(135,1),(144,1),(180,1),(181,1),(185,1)}
       162:{1,2,4,6,7}:{(136,1),(137,1),(138,1),(146,1),(175,1),(182,1),(186,1),(187,1),(200,1)}
       163:{3,5,7}:{(138,1),(139,1),(182,1),(183,1)}
       164:{3,4,6}:{(139,1),(148,1),(177,1),(183,1),(184,1)}
       165:{3,4,7}:{(140,1),(141,1),(185,1)}
       166:{3,5}:{(140,1),(142,1)}
       167:{1,2,4,5,7}:{(141,1),(142,1),(143,1),(144,1),(151,1),(180,1),(185,1),(186,1),(188,1),(201,1)}
       168:{1,4,6}:{(143,1),(145,1),(152,1)}
       169:{2,4,6}:{(144,1),(145,1),(153,1),(181,1)}
       170:{2,3,5,6,7}:{(146,1),(147,1),(182,1),(187,1),(189,1),(203,1)}
       171:{2,4,7}:{(147,1),(148,1),(183,1)}
       172:{2,4,5}:{(148,1),(150,1),(184,1)}
       173:{2,3,5,7}:{(149,1),(150,1),(151,1),(185,1),(188,1),(189,1),(203,1)}
       174:{1,2,5,6}:{(151,1),(152,1),(153,1),(186,1),(189,1),(209,1)}
       175:{1,2,6,7}:{(154,1),(155,1),(190,1),(194,1)}
       176:{1,3,5,7}:{(155,1),(156,1),(157,1),(163,1),(190,1),(191,1),(206,1)}
       177:{1,4,6}:{(156,1),(164,1),(191,1),(192,1)}
       178:{1,3,4,7}:{(157,1),(158,1),(159,1),(165,1),(191,1),(193,1)}
       179:{1,3,5}:{(158,1),(160,1),(166,1),(192,1)}
       180:{1,2,5,7}:{(159,1),(160,1),(161,1),(193,1),(194,1)}
       181:{2,3,6}:{(161,1),(169,1),(194,1),(197,1)}
       182:{3,6,7}:{(162,1),(163,1),(197,1)}
       183:{3,4,7}:{(163,1),(164,1),(171,1),(191,1)}
       184:{3,4,5}:{(164,1),(166,1),(172,1),(192,1)}
       185:{3,5,7}:{(165,1),(166,1),(167,1),(197,1)}
       186:{1,2,4,6}:{(167,1),(168,1),(169,1),(174,1),(194,1),(197,1),(199,1),(207,1)}
       187:{2,4,6,7}:{(170,1),(171,1),(195,1),(198,1),(199,1)}
       188:{2,4,5,7}:{(171,1),(172,1),(173,1),(196,1),(199,1)}
       189:{2,3,5,6}:{(173,1),(174,1),(197,1),(199,1),(208,1)}
       190:{1,3,6,7}:{(175,1),(176,1),(182,1),(200,1),(202,1)}
       191:{1,4,7}:{(176,1),(177,1),(183,1)}
       192:{1,4,5}:{(177,1),(179,1),(184,1)}
       193:{1,3,5,7}:{(178,1),(179,1),(180,1),(185,1),(201,1),(202,1)}
       194:{1,2,6}:{(180,1),(181,1),(202,1)}
       195:{3,4,6,7}:{(182,1),(183,1),(187,1),(200,1),(203,1),(204,1)}
       196:{3,4,5,7}:{(183,1),(184,1),(185,1),(188,1),(201,1),(203,1),(204,1)}
       197:{3,6}:{(185,1),(186,1)}
       198:{2,4,5,7}:{(187,1),(203,1),(205,1)}
       199:{2,4,6}:{(188,1),(189,1),(204,1)}
       200:{1,4,6,7}:{(190,1),(191,1),(195,1),(206,1),(207,1)}
       201:{1,4,5,7}:{(191,1),(192,1),(193,1),(196,1),(206,1),(207,1)}
       202:{1,3,6}:{(193,1),(194,1),(197,1),(207,1)}
       203:{3,5,7}:{(195,1),(198,1),(206,1),(208,1)}
       204:{3,4,6}:{(196,1),(197,1),(199,1),(207,1),(208,1)}
       205:{2,4,5,6}:{(198,1),(199,1),(208,1)}
       206:{1,5,7}:{(200,1),(203,1),(209,1)}
       207:{1,4,6}:{(201,1),(202,1),(204,1),(209,1)}
       208:{3,5,6}:{(203,1),(204,1),(205,1),(209,1)}
       209:{1,5,6}:{(206,1),(207,1),(208,1)}

1899 :   0:{1,3,4,5,7}:{(2,1),(3,1),(18,1),(57,1),(117,1),(130,1),(134,1),(169,1),(176,1),(181,1)}
         1:{1,4,5,6,7}:{(4,1),(25,1),(199,1)}
         2:{1,3,4,6}:{(0,1),(8,1),(9,1),(102,1),(189,1),(194,1),(196,1)}
         3:{1,2,4,5,7}:{(0,1),(9,1),(10,1),(35,1),(40,1),(94,1),(99,1),(103,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(13,1),(206,1)}
         5:{2,3,4,5,7}:{(14,1),(15,1),(24,1),(51,1),(72,1),(131,1),(168,1),(172,1),(176,1),(200,1)}
         6:{1,3,4,6,7}:{(2,1),(18,1),(19,1),(25,1),(74,1),(130,1),(135,1)}
         7:{3,4,5,6}:{(17,1),(20,1),(21,1),(70,1),(172,1),(201,1)}
         8:{1,3,5,6}:{(2,1),(18,1),(20,1),(22,1),(70,1),(117,1),(183,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(22,1),(23,1),(71,1)}
        10:{2,3,5,7}:{(3,1),(23,1),(24,1),(72,1),(176,1)}
        11:{3,4,6,7}:{(4,1),(17,1),(25,1),(26,1),(74,1),(201,1)}
        12:{1,3,5,6,7}:{(4,1),(18,1),(25,1),(27,1),(74,1),(170,1)}
        13:{2,5,6,7}:{(4,1),(26,1),(209,1)}
        14:{2,3,4,6}:{(5,1),(31,1),(32,1),(146,1),(160,1),(194,1),(207,1)}
        15:{1,2,4,5,7}:{(5,1),(32,1),(33,1),(35,1),(81,1),(94,1),(143,1),(147,1)}
        16:{1,2,3,5,7}:{(10,1),(33,1),(34,1),(35,1),(94,1)}
        17:{3,4,5,7}:{(7,1),(11,1),(38,1),(39,1),(98,1)}
        18:{1,3,5,7}:{(6,1),(8,1),(38,1),(40,1),(98,1),(162,1)}
        19:{1,2,4,6,7}:{(6,1),(9,1),(40,1),(41,1),(99,1)}
        20:{1,4,5,6}:{(7,1),(8,1),(38,1),(147,1),(189,1)}
        21:{2,4,5,6}:{(7,1),(39,1),(42,1),(190,1),(207,1)}
        22:{1,2,5,6}:{(8,1),(9,1),(40,1),(44,1),(94,1)}
        23:{2,3,6}:{(9,1),(10,1),(194,1)}
        24:{2,3,4,7}:{(10,1),(35,1),(45,1),(99,1),(150,1)}
        25:{1,4,6,7}:{(11,1),(12,1),(38,1),(189,1)}
        26:{2,4,6,7}:{(11,1),(13,1),(39,1),(46,1),(207,1)}
        27:{1,2,5,6,7}:{(12,1),(13,1),(40,1),(47,1),(48,1),(152,1),(162,1)}
        28:{2,4,5,6,7}:{(49,1),(108,1),(137,1)}
        29:{2,3,4,6,7}:{(14,1),(51,1),(52,1),(108,1),(165,1),(168,1),(197,1)}
        30:{3,4,5,6}:{(50,1),(53,1),(54,1),(115,1),(134,1),(182,1)}
        31:{2,3,5,6}:{(14,1),(51,1),(54,1),(55,1),(72,1),(115,1),(209,1)}
        32:{1,2,4,6}:{(14,1),(15,1),(55,1),(56,1),(116,1)}
        33:{1,3,5,7}:{(15,1),(56,1),(57,1),(117,1),(176,1)}
        34:{1,2,3,6}:{(16,1),(23,1),(56,1),(62,1)}
        35:{1,2,4,7}:{(16,1),(24,1),(57,1),(62,1)}
        36:{1,3,4,5}:{(59,1),(63,1),(128,1),(172,1),(180,1)}
        37:{2,3,4,5}:{(60,1),(64,1),(127,1),(134,1),(179,1)}
        38:{1,4,5,7}:{(17,1),(18,1),(20,1),(25,1)}
        39:{2,4,5,7}:{(17,1),(21,1),(26,1),(65,1)}
        40:{1,2,5,7}:{(18,1),(19,1),(22,1),(67,1)}
        41:{2,3,6,7}:{(19,1),(23,1),(67,1),(74,1)}
        42:{2,3,5,6}:{(21,1),(60,1),(65,1),(69,1),(70,1),(179,1),(203,1)}
        43:{1,2,4,5,6}:{(20,1),(21,1),(22,1),(66,1),(69,1),(70,1),(71,1),(125,1),(133,1),(137,1),(177,1),(183,1)}
        44:{2,3,5,6}:{(22,1),(23,1),(67,1),(70,1),(71,1),(72,1)}
        45:{2,3,4,6}:{(23,1),(24,1),(62,1),(71,1),(72,1),(124,1)}
        46:{2,3,6,7}:{(26,1),(65,1),(73,1),(74,1),(203,1)}
        47:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(66,1),(73,1),(74,1),(75,1),(135,1),(177,1)}
        48:{2,3,5,6,7}:{(27,1),(67,1),(74,1),(75,1),(132,1),(136,1)}
        49:{3,5,6,7}:{(28,1),(76,1),(77,1),(163,1)}
        50:{3,4,5,7}:{(30,1),(76,1),(79,1),(80,1),(142,1)}
        51:{2,3,5,7}:{(29,1),(31,1),(80,1),(81,1),(142,1),(205,1)}
        52:{1,2,4,6,7}:{(29,1),(32,1),(81,1),(82,1),(143,1)}
        53:{1,4,5,6}:{(30,1),(79,1),(83,1),(161,1),(196,1)}
        54:{2,4,5,6}:{(30,1),(31,1),(80,1),(103,1),(160,1)}
        55:{1,2,5,6}:{(31,1),(32,1),(81,1),(85,1),(94,1)}
        56:{1,3,6}:{(32,1),(33,1),(194,1)}
        57:{1,3,4,7}:{(33,1),(35,1),(86,1),(143,1),(150,1)}
        58:{1,2,3,6,7}:{(34,1),(41,1),(82,1),(89,1),(90,1),(104,1),(184,1),(194,1),(208,1)}
        59:{1,3,4,6}:{(36,1),(83,1),(87,1),(91,1),(146,1)}
        60:{2,3,4,6}:{(37,1),(42,1),(88,1),(92,1),(102,1)}
        61:{1,2,3,5,6}:{(34,1),(44,1),(85,1),(89,1),(93,1),(94,1),(101,1),(145,1),(152,1),(153,1),(156,1),(194,1),(195,1),(208,1)}
        62:{1,2,4,6}:{(34,1),(35,1),(45,1),(86,1),(94,1)}
        63:{1,2,4,5}:{(36,1),(91,1),(95,1),(157,1),(190,1),(195,1)}
        64:{1,2,4,5}:{(37,1),(92,1),(96,1),(157,1),(161,1),(195,1)}
        65:{2,3,5,7}:{(39,1),(42,1),(46,1),(88,1),(97,1),(98,1)}
        66:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(47,1),(97,1),(98,1),(99,1),(106,1),(158,1),(162,1)}
        67:{2,3,5,7}:{(40,1),(41,1),(44,1),(98,1),(99,1)}
        68:{2,3,4,6,7}:{(41,1),(45,1),(90,1),(99,1),(100,1),(105,1),(150,1),(160,1),(194,1)}
        69:{1,2,5,6}:{(42,1),(92,1),(97,1),(101,1),(195,1),(208,1)}
        70:{3,5,6}:{(43,1),(98,1),(102,1),(156,1),(194,1)}
        71:{2,4,6}:{(44,1),(99,1),(102,1),(103,1)}
        72:{2,3,5}:{(45,1),(94,1),(103,1),(156,1)}
        73:{1,2,6,7}:{(46,1),(97,1),(104,1),(208,1)}
        74:{3,6,7}:{(47,1),(98,1),(194,1)}
        75:{2,4,6,7}:{(48,1),(99,1),(105,1),(106,1),(160,1)}
        76:{3,4,6,7}:{(49,1),(50,1),(107,1),(108,1),(165,1),(182,1)}
        77:{1,5,6,7}:{(49,1),(107,1),(183,1)}
        78:{2,3,5,6,7}:{(49,1),(51,1),(108,1),(109,1),(132,1),(165,1)}
        79:{1,4,5,7}:{(50,1),(53,1),(107,1),(110,1)}
        80:{2,4,5,7}:{(50,1),(51,1),(54,1),(108,1)}
        81:{1,2,5,7}:{(51,1),(52,1),(55,1),(112,1)}
        82:{1,3,6,7}:{(52,1),(56,1),(112,1),(165,1)}
        83:{1,3,5,6}:{(53,1),(59,1),(110,1),(114,1),(115,1),(180,1),(204,1)}
        84:{1,2,4,5,6}:{(53,1),(54,1),(55,1),(111,1),(114,1),(115,1),(116,1),(125,1),(171,1),(177,1),(199,1),(209,1)}
        85:{1,3,5,6}:{(55,1),(56,1),(112,1),(115,1),(116,1),(117,1)}
        86:{1,3,4,6}:{(56,1),(57,1),(62,1),(116,1),(117,1),(124,1)}
        87:{1,3,4,7}:{(59,1),(110,1),(118,1),(168,1)}
        88:{2,3,4,7}:{(60,1),(65,1),(119,1),(130,1)}
        89:{1,2,3,5,7}:{(58,1),(61,1),(67,1),(112,1),(120,1),(121,1),(129,1),(167,1),(173,1),(176,1),(202,1)}
        90:{1,2,4,6,7}:{(58,1),(62,1),(68,1),(113,1),(120,1),(121,1),(135,1),(177,1),(197,1)}
        91:{1,2,4,6}:{(59,1),(63,1),(114,1),(118,1),(122,1),(171,1)}
        92:{1,2,4,6}:{(60,1),(64,1),(69,1),(119,1),(123,1),(133,1)}
        93:{1,2,4,6}:{(61,1),(71,1),(116,1),(120,1),(124,1),(125,1),(133,1),(171,1)}
        94:{1,2,5}:{(62,1),(72,1),(117,1)}
        95:{2,3,5}:{(63,1),(122,1),(127,1)}
        96:{1,3,5}:{(64,1),(123,1),(128,1)}
        97:{1,2,5,7}:{(65,1),(69,1),(73,1),(119,1),(129,1)}
        98:{3,5,7}:{(66,1),(70,1),(74,1),(130,1)}
        99:{2,4,7}:{(67,1),(71,1),(130,1)}
       100:{2,3,5,7}:{(68,1),(72,1),(121,1),(131,1),(132,1),(136,1),(176,1)}
       101:{1,3,5,6}:{(69,1),(70,1),(123,1),(129,1),(133,1),(180,1),(183,1),(204,1)}
       102:{3,4,6}:{(70,1),(71,1),(130,1),(133,1),(134,1)}
       103:{2,4,5}:{(71,1),(72,1),(134,1)}
       104:{1,3,6,7}:{(73,1),(74,1),(129,1),(135,1),(204,1)}
       105:{3,4,6,7}:{(74,1),(75,1),(130,1),(135,1),(136,1),(182,1)}
       106:{2,4,5,7}:{(75,1),(136,1),(137,1)}
       107:{1,4,6,7}:{(76,1),(77,1),(79,1),(138,1),(196,1)}
       108:{2,4,6,7}:{(76,1),(78,1),(80,1),(160,1)}
       109:{1,2,5,6,7}:{(77,1),(78,1),(81,1),(139,1),(140,1),(152,1),(205,1)}
       110:{1,3,5,7}:{(79,1),(83,1),(87,1),(138,1),(141,1),(142,1)}
       111:{1,2,4,5,7}:{(79,1),(80,1),(81,1),(84,1),(139,1),(141,1),(142,1),(143,1),(186,1),(187,1),(205,1)}
       112:{1,3,5,7}:{(81,1),(82,1),(85,1),(142,1),(143,1)}
       113:{1,3,4,6,7}:{(82,1),(86,1),(90,1),(143,1),(144,1),(150,1),(185,1),(189,1),(194,1)}
       114:{1,2,5,6}:{(83,1),(91,1),(141,1),(145,1),(195,1),(208,1)}
       115:{3,5,6}:{(84,1),(142,1),(146,1),(156,1),(194,1)}
       116:{1,4,6}:{(85,1),(143,1),(146,1),(147,1)}
       117:{1,3,5}:{(86,1),(94,1),(147,1),(156,1)}
       118:{1,2,4,7}:{(87,1),(91,1),(141,1),(148,1),(187,1)}
       119:{1,2,4,7}:{(88,1),(92,1),(97,1),(149,1),(158,1)}
       120:{1,2,4,7}:{(89,1),(93,1),(99,1),(143,1),(150,1),(158,1),(187,1)}
       121:{1,2,5,7}:{(90,1),(94,1),(100,1),(144,1),(152,1),(162,1),(205,1)}
       122:{2,3,6}:{(91,1),(95,1),(148,1)}
       123:{1,3,6}:{(92,1),(96,1),(149,1)}
       124:{3,4,6}:{(93,1),(150,1),(156,1),(194,1)}
       125:{1,2,4,5}:{(93,1),(94,1),(103,1),(147,1),(156,1),(161,1),(190,1),(195,1)}
       126:{1,2,3,5}:{(95,1),(96,1),(153,1),(157,1),(195,1)}
       127:{2,3,4}:{(95,1),(157,1)}
       128:{1,3,4}:{(96,1),(157,1)}
       129:{1,3,5,7}:{(97,1),(98,1),(101,1),(104,1),(149,1),(158,1),(162,1)}
       130:{3,4,7}:{(98,1),(99,1),(102,1),(158,1)}
       131:{2,4,5,7}:{(99,1),(100,1),(103,1),(159,1),(160,1)}
       132:{2,3,5,6}:{(100,1),(152,1),(160,1),(163,1),(194,1)}
       133:{1,4,6}:{(101,1),(102,1),(158,1),(161,1)}
       134:{3,4,5}:{(102,1),(103,1),(156,1),(161,1)}
       135:{1,4,6,7}:{(104,1),(105,1),(158,1),(162,1),(196,1)}
       136:{3,5,7}:{(105,1),(106,1),(162,1),(163,1)}
       137:{2,4,5,6}:{(106,1),(160,1),(163,1)}
       138:{1,3,6,7}:{(107,1),(110,1),(164,1),(165,1),(204,1)}
       139:{1,2,4,6,7}:{(107,1),(108,1),(109,1),(111,1),(164,1),(165,1),(166,1),(177,1),(197,1)}
       140:{1,3,5,6,7}:{(109,1),(112,1),(165,1),(166,1),(170,1),(198,1)}
       141:{1,2,5,7}:{(110,1),(114,1),(118,1),(164,1),(167,1)}
       142:{3,5,7}:{(111,1),(115,1),(165,1),(168,1)}
       143:{1,4,7}:{(112,1),(116,1),(168,1)}
       144:{1,3,5,7}:{(113,1),(117,1),(121,1),(169,1),(170,1),(176,1),(198,1)}
       145:{2,3,5,6}:{(114,1),(115,1),(122,1),(167,1),(171,1),(179,1),(203,1),(209,1)}
       146:{3,4,6}:{(115,1),(116,1),(168,1),(171,1),(172,1)}
       147:{1,4,5}:{(116,1),(117,1),(172,1)}
       148:{2,3,7}:{(118,1),(122,1)}
       149:{1,3,7}:{(119,1),(123,1)}
       150:{3,4,7}:{(120,1),(124,1),(176,1)}
       151:{1,2,4,5,7}:{(120,1),(121,1),(125,1),(131,1),(169,1),(176,1),(177,1),(181,1),(200,1),(202,1)}
       152:{1,2,5,6}:{(121,1),(132,1),(170,1),(177,1),(183,1),(209,1)}
       153:{1,2,3,6}:{(122,1),(123,1),(126,1),(173,1),(178,1)}
       154:{2,3,4,6}:{(122,1),(124,1),(127,1),(171,1),(174,1),(178,1),(179,1),(203,1)}
       155:{1,3,4,6}:{(123,1),(124,1),(128,1),(133,1),(175,1),(178,1),(180,1),(204,1)}
       156:{3,5}:{(124,1),(125,1)}
       157:{1,2,4}:{(126,1),(127,1),(128,1)}
       158:{1,4,7}:{(129,1),(130,1),(133,1)}
       159:{3,4,5,7}:{(130,1),(131,1),(134,1),(136,1),(176,1),(181,1),(182,1)}
       160:{2,4,6}:{(131,1),(132,1),(182,1)}
       161:{1,4,5}:{(133,1),(134,1),(180,1)}
       162:{1,5,7}:{(135,1),(136,1),(183,1)}
       163:{3,5,6}:{(136,1),(137,1),(182,1),(183,1)}
       164:{1,2,6,7}:{(138,1),(141,1),(184,1),(208,1)}
       165:{3,6,7}:{(139,1),(142,1),(194,1)}
       166:{1,4,6,7}:{(140,1),(143,1),(185,1),(186,1),(189,1)}
       167:{2,3,5,7}:{(141,1),(142,1),(145,1),(148,1),(184,1),(187,1),(205,1)}
       168:{3,4,7}:{(142,1),(143,1),(146,1),(187,1)}
       169:{1,4,5,7}:{(143,1),(144,1),(147,1),(188,1),(189,1)}
       170:{1,3,5,6}:{(144,1),(152,1),(189,1),(194,1),(206,1)}
       171:{2,4,6}:{(145,1),(146,1),(187,1),(190,1)}
       172:{3,4,5}:{(146,1),(147,1),(156,1),(190,1)}
       173:{1,2,3,7}:{(148,1),(149,1),(153,1),(191,1)}
       174:{2,3,4,7}:{(148,1),(150,1),(154,1),(187,1),(191,1),(192,1)}
       175:{1,3,4,7}:{(149,1),(150,1),(155,1),(158,1),(191,1),(193,1)}
       176:{3,5,7}:{(150,1),(151,1),(156,1),(194,1)}
       177:{1,2,4,6}:{(151,1),(152,1),(160,1),(189,1),(194,1),(196,1),(207,1),(208,1)}
       178:{1,2,4,6}:{(153,1),(154,1),(155,1),(157,1),(191,1),(195,1),(208,1)}
       179:{2,3,5}:{(154,1),(156,1),(190,1),(195,1)}
       180:{1,3,5}:{(155,1),(156,1),(161,1),(195,1)}
       181:{1,4,5,7}:{(158,1),(159,1),(161,1),(162,1),(193,1),(196,1)}
       182:{3,4,6}:{(159,1),(160,1),(163,1),(194,1),(196,1)}
       183:{1,5,6}:{(162,1),(163,1),(196,1)}
       184:{2,3,6,7}:{(164,1),(165,1),(167,1),(197,1),(203,1)}
       185:{3,4,6,7}:{(165,1),(166,1),(168,1),(197,1),(198,1),(201,1)}
       186:{1,4,5,7}:{(166,1),(198,1),(199,1)}
       187:{2,4,7}:{(167,1),(168,1),(171,1)}
       188:{3,4,5,7}:{(168,1),(169,1),(172,1),(176,1),(198,1),(200,1),(201,1)}
       189:{1,4,6}:{(169,1),(170,1),(201,1)}
       190:{2,4,5}:{(171,1),(172,1),(179,1)}
       191:{1,2,4,7}:{(173,1),(174,1),(175,1),(178,1),(202,1)}
       192:{2,3,5,7}:{(174,1),(176,1),(179,1),(200,1),(202,1),(203,1)}
       193:{1,3,5,7}:{(175,1),(176,1),(180,1),(181,1),(202,1),(204,1)}
       194:{3,6}:{(176,1),(177,1)}
       195:{1,2,5}:{(178,1),(179,1),(180,1)}
       196:{1,4,6}:{(181,1),(182,1),(183,1),(204,1)}
       197:{2,4,6,7}:{(184,1),(185,1),(187,1),(205,1),(207,1)}
       198:{3,5,7}:{(185,1),(186,1),(205,1),(206,1)}
       199:{1,4,5,6}:{(186,1),(189,1),(206,1)}
       200:{2,4,5,7}:{(187,1),(188,1),(190,1),(192,1),(205,1),(207,1)}
       201:{3,4,6}:{(188,1),(189,1),(194,1),(206,1),(207,1)}
       202:{1,2,5,7}:{(191,1),(192,1),(193,1),(195,1),(208,1)}
       203:{2,3,6}:{(192,1),(194,1),(207,1),(208,1)}
       204:{1,3,6}:{(193,1),(194,1),(196,1),(208,1)}
       205:{2,5,7}:{(197,1),(198,1),(209,1)}
       206:{3,5,6}:{(198,1),(199,1),(201,1),(209,1)}
       207:{2,4,6}:{(200,1),(201,1),(203,1),(209,1)}
       208:{1,2,6}:{(202,1),(203,1),(204,1)}
       209:{2,5,6}:{(205,1),(206,1),(207,1)}

1900 :   0:{1,4,5,6,7}:{(1,1),(12,1),(205,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(208,1)}
         2:{3,4,5,6}:{(7,1),(8,1),(9,1),(35,1),(184,1),(204,1)}
         3:{1,3,4,5,7}:{(10,1),(11,1),(32,1),(82,1),(83,1),(89,1),(143,1),(150,1),(185,1),(188,1)}
         4:{3,4,6,7}:{(1,1),(7,1),(12,1),(13,1),(43,1),(204,1)}
         5:{1,3,5,6,7}:{(1,1),(12,1),(14,1),(32,1),(43,1),(189,1)}
         6:{2,5,6,7}:{(1,1),(13,1),(209,1)}
         7:{3,4,5,7}:{(2,1),(4,1),(18,1),(19,1),(54,1)}
         8:{1,4,5,6}:{(2,1),(17,1),(18,1),(172,1),(199,1)}
         9:{2,4,5,6}:{(2,1),(16,1),(19,1),(192,1),(207,1)}
        10:{1,3,4,6}:{(3,1),(17,1),(24,1),(55,1),(168,1),(197,1),(199,1)}
        11:{1,2,4,5,7}:{(3,1),(24,1),(25,1),(52,1),(62,1),(113,1),(114,1),(123,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(18,1),(199,1)}
        13:{2,4,6,7}:{(4,1),(6,1),(19,1),(22,1),(207,1)}
        14:{1,2,5,6,7}:{(5,1),(6,1),(26,1),(27,1),(52,1),(124,1),(174,1)}
        15:{2,3,4,5}:{(28,1),(29,1),(83,1),(131,1),(179,1)}
        16:{2,3,5,6}:{(9,1),(28,1),(30,1),(31,1),(35,1),(179,1),(202,1)}
        17:{1,3,5,6}:{(8,1),(10,1),(32,1),(33,1),(35,1),(150,1),(152,1)}
        18:{1,4,5,7}:{(7,1),(8,1),(12,1),(32,1)}
        19:{2,4,5,7}:{(7,1),(9,1),(13,1),(30,1)}
        20:{1,2,4,5,6}:{(8,1),(9,1),(31,1),(33,1),(34,1),(35,1),(79,1),(81,1),(96,1),(142,1),(152,1),(186,1)}
        21:{2,3,4,5,7}:{(36,1),(37,1),(42,1),(85,1),(94,1),(144,1),(183,1),(184,1),(185,1),(201,1)}
        22:{2,3,6,7}:{(13,1),(30,1),(39,1),(43,1),(202,1)}
        23:{1,3,4,6,7}:{(10,1),(12,1),(32,1),(40,1),(43,1),(82,1),(92,1)}
        24:{1,2,4,6}:{(10,1),(11,1),(33,1),(41,1),(81,1)}
        25:{2,3,5,7}:{(11,1),(41,1),(42,1),(94,1),(185,1)}
        26:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(34,1),(39,1),(43,1),(44,1),(92,1),(186,1)}
        27:{2,3,5,6,7}:{(14,1),(43,1),(44,1),(80,1),(95,1),(153,1)}
        28:{2,3,4,6}:{(15,1),(16,1),(46,1),(47,1),(55,1)}
        29:{1,2,4,5}:{(15,1),(47,1),(48,1),(102,1),(112,1),(160,1)}
        30:{2,3,5,7}:{(16,1),(19,1),(22,1),(46,1),(50,1),(54,1)}
        31:{1,2,5,6}:{(16,1),(47,1),(50,1),(51,1),(160,1),(194,1)}
        32:{1,3,5,7}:{(17,1),(18,1),(23,1),(52,1),(54,1),(124,1)}
        33:{1,2,5,6}:{(17,1),(24,1),(52,1),(53,1),(123,1)}
        34:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(26,1),(50,1),(52,1),(54,1),(67,1),(111,1),(113,1),(124,1)}
        35:{3,5,6}:{(20,1),(54,1),(55,1),(166,1),(197,1)}
        36:{2,3,4,6}:{(21,1),(57,1),(59,1),(164,1),(169,1),(197,1),(207,1)}
        37:{1,2,4,5,7}:{(21,1),(59,1),(60,1),(62,1),(118,1),(123,1),(171,1),(172,1)}
        38:{1,2,3,5,7}:{(25,1),(60,1),(61,1),(62,1),(123,1)}
        39:{1,2,6,7}:{(22,1),(50,1),(63,1),(194,1)}
        40:{1,2,4,6,7}:{(23,1),(24,1),(52,1),(64,1),(113,1)}
        41:{2,3,6}:{(24,1),(25,1),(197,1)}
        42:{2,3,4,7}:{(25,1),(62,1),(65,1),(113,1),(165,1)}
        43:{3,6,7}:{(26,1),(54,1),(197,1)}
        44:{2,4,6,7}:{(27,1),(66,1),(67,1),(113,1),(169,1)}
        45:{1,3,4,5}:{(68,1),(69,1),(73,1),(135,1),(184,1)}
        46:{2,3,4,7}:{(28,1),(30,1),(71,1),(82,1)}
        47:{1,2,4,6}:{(28,1),(29,1),(31,1),(71,1),(72,1),(79,1)}
        48:{1,3,5}:{(29,1),(72,1),(73,1)}
        49:{3,4,5,6}:{(74,1),(75,1),(76,1),(83,1),(139,1),(145,1)}
        50:{1,2,5,7}:{(30,1),(31,1),(39,1),(71,1),(78,1)}
        51:{1,3,5,6}:{(31,1),(35,1),(72,1),(78,1),(79,1),(135,1),(152,1),(181,1)}
        52:{1,2,5,7}:{(32,1),(33,1),(40,1),(80,1)}
        53:{2,3,5,6}:{(33,1),(35,1),(41,1),(80,1),(81,1),(94,1)}
        54:{3,5,7}:{(34,1),(35,1),(43,1),(82,1)}
        55:{3,4,6}:{(35,1),(79,1),(81,1),(82,1),(83,1)}
        56:{2,4,5,6,7}:{(84,1),(96,1),(137,1)}
        57:{2,3,5,6}:{(36,1),(76,1),(85,1),(86,1),(94,1),(139,1),(209,1)}
        58:{2,3,4,6,7}:{(36,1),(85,1),(87,1),(137,1),(182,1),(183,1),(200,1)}
        59:{1,2,4,6}:{(36,1),(37,1),(86,1),(88,1),(148,1)}
        60:{1,3,5,7}:{(37,1),(88,1),(89,1),(150,1),(185,1)}
        61:{1,2,3,6}:{(38,1),(41,1),(88,1),(91,1)}
        62:{1,2,4,7}:{(38,1),(42,1),(89,1),(91,1)}
        63:{1,3,6,7}:{(39,1),(43,1),(78,1),(92,1),(181,1)}
        64:{2,3,6,7}:{(40,1),(41,1),(43,1),(80,1)}
        65:{2,3,4,6}:{(41,1),(42,1),(81,1),(91,1),(94,1),(140,1)}
        66:{3,4,6,7}:{(43,1),(44,1),(82,1),(92,1),(95,1),(145,1)}
        67:{2,4,5,7}:{(44,1),(95,1),(96,1)}
        68:{1,3,4,6}:{(45,1),(97,1),(98,1),(99,1),(164,1)}
        69:{1,2,4,5}:{(45,1),(99,1),(100,1),(102,1),(160,1),(192,1)}
        70:{1,2,3,5}:{(48,1),(100,1),(101,1),(102,1),(160,1)}
        71:{1,2,4,7}:{(46,1),(47,1),(50,1),(103,1),(111,1)}
        72:{1,3,6}:{(47,1),(48,1),(103,1)}
        73:{1,3,4}:{(48,1),(102,1)}
        74:{3,4,5,7}:{(49,1),(105,1),(106,1),(107,1),(163,1)}
        75:{1,4,5,6}:{(49,1),(97,1),(106,1),(112,1),(168,1)}
        76:{2,4,5,6}:{(49,1),(57,1),(107,1),(114,1),(169,1)}
        77:{1,2,3,5,6}:{(51,1),(53,1),(61,1),(101,1),(109,1),(110,1),(119,1),(123,1),(156,1),(160,1),(166,1),(174,1),(194,1),(197,1)}
        78:{1,3,5,7}:{(50,1),(51,1),(54,1),(63,1),(103,1),(111,1),(124,1)}
        79:{1,4,6}:{(51,1),(55,1),(111,1),(112,1)}
        80:{2,3,5,7}:{(52,1),(53,1),(54,1),(64,1),(113,1)}
        81:{2,4,6}:{(53,1),(55,1),(113,1),(114,1)}
        82:{3,4,7}:{(54,1),(55,1),(111,1),(113,1)}
        83:{3,4,5}:{(55,1),(112,1),(114,1),(166,1)}
        84:{3,5,6,7}:{(56,1),(105,1),(116,1),(126,1)}
        85:{2,3,5,7}:{(57,1),(58,1),(107,1),(118,1),(163,1),(206,1)}
        86:{1,2,5,6}:{(57,1),(59,1),(118,1),(119,1),(123,1)}
        87:{1,2,4,6,7}:{(58,1),(59,1),(118,1),(120,1),(171,1)}
        88:{1,3,6}:{(59,1),(60,1),(197,1)}
        89:{1,3,4,7}:{(60,1),(62,1),(121,1),(165,1),(171,1)}
        90:{1,2,3,6,7}:{(61,1),(63,1),(64,1),(109,1),(120,1),(122,1),(190,1),(194,1),(197,1)}
        91:{1,2,4,6}:{(61,1),(62,1),(65,1),(121,1),(123,1)}
        92:{1,4,6,7}:{(63,1),(66,1),(111,1),(124,1),(168,1)}
        93:{2,3,4,6,7}:{(64,1),(65,1),(66,1),(113,1),(122,1),(125,1),(165,1),(169,1),(197,1)}
        94:{2,3,5}:{(65,1),(114,1),(123,1),(166,1)}
        95:{3,5,7}:{(66,1),(67,1),(124,1),(126,1)}
        96:{2,4,5,6}:{(67,1),(126,1),(169,1)}
        97:{1,3,5,6}:{(68,1),(75,1),(127,1),(128,1),(135,1),(139,1),(181,1)}
        98:{1,3,4,7}:{(68,1),(127,1),(129,1),(183,1)}
        99:{1,2,4,6}:{(68,1),(69,1),(128,1),(129,1),(130,1),(177,1)}
       100:{2,3,5}:{(69,1),(130,1),(131,1)}
       101:{1,2,3,6}:{(70,1),(72,1),(130,1),(132,1),(133,1)}
       102:{1,2,4}:{(70,1),(73,1),(131,1)}
       103:{1,3,7}:{(71,1),(72,1)}
       104:{1,3,4,6}:{(72,1),(73,1),(79,1),(133,1),(134,1),(135,1),(140,1),(181,1)}
       105:{3,4,6,7}:{(74,1),(84,1),(136,1),(137,1),(145,1),(182,1)}
       106:{1,4,5,7}:{(74,1),(75,1),(127,1),(136,1)}
       107:{2,4,5,7}:{(74,1),(76,1),(85,1),(137,1)}
       108:{1,2,4,5,6}:{(75,1),(76,1),(86,1),(128,1),(138,1),(139,1),(142,1),(148,1),(177,1),(186,1),(205,1),(209,1)}
       109:{1,2,3,5,7}:{(77,1),(78,1),(80,1),(90,1),(132,1),(141,1),(147,1),(151,1),(176,1),(180,1),(185,1)}
       110:{1,2,4,6}:{(77,1),(79,1),(81,1),(140,1),(141,1),(142,1),(148,1),(177,1)}
       111:{1,4,7}:{(78,1),(79,1),(82,1)}
       112:{1,4,5}:{(79,1),(83,1),(135,1)}
       113:{2,4,7}:{(80,1),(81,1),(82,1)}
       114:{2,4,5}:{(81,1),(83,1),(94,1)}
       115:{3,4,5,7}:{(82,1),(83,1),(95,1),(143,1),(144,1),(145,1),(185,1)}
       116:{1,5,6,7}:{(84,1),(136,1),(152,1)}
       117:{2,3,5,6,7}:{(84,1),(85,1),(137,1),(146,1),(153,1),(182,1)}
       118:{1,2,5,7}:{(85,1),(86,1),(87,1),(147,1)}
       119:{1,3,5,6}:{(86,1),(88,1),(139,1),(147,1),(148,1),(150,1)}
       120:{1,3,6,7}:{(87,1),(88,1),(147,1),(182,1)}
       121:{1,3,4,6}:{(88,1),(89,1),(91,1),(140,1),(148,1),(150,1)}
       122:{1,2,4,6,7}:{(90,1),(91,1),(92,1),(93,1),(141,1),(149,1),(151,1),(186,1),(200,1)}
       123:{1,2,5}:{(91,1),(94,1),(150,1)}
       124:{1,5,7}:{(92,1),(95,1),(152,1)}
       125:{2,3,5,7}:{(93,1),(94,1),(95,1),(144,1),(151,1),(153,1),(185,1)}
       126:{3,5,6}:{(95,1),(96,1),(145,1),(152,1)}
       127:{1,3,5,7}:{(97,1),(98,1),(106,1),(154,1),(155,1),(163,1)}
       128:{1,2,5,6}:{(97,1),(99,1),(155,1),(156,1),(160,1),(194,1)}
       129:{1,2,4,7}:{(98,1),(99,1),(155,1),(157,1),(191,1)}
       130:{2,3,6}:{(99,1),(100,1),(157,1)}
       131:{2,3,4}:{(100,1),(102,1)}
       132:{1,2,3,7}:{(101,1),(103,1),(157,1),(159,1)}
       133:{1,2,4,6}:{(101,1),(102,1),(104,1),(158,1),(159,1),(160,1),(194,1)}
       134:{1,3,4,7}:{(103,1),(104,1),(111,1),(159,1),(161,1),(165,1)}
       135:{1,3,5}:{(104,1),(112,1),(160,1),(166,1)}
       136:{1,4,6,7}:{(105,1),(106,1),(116,1),(154,1),(168,1)}
       137:{2,4,6,7}:{(105,1),(107,1),(117,1),(169,1)}
       138:{1,2,4,5,7}:{(106,1),(107,1),(108,1),(118,1),(155,1),(162,1),(163,1),(171,1),(191,1),(198,1),(206,1)}
       139:{3,5,6}:{(108,1),(163,1),(164,1),(166,1),(197,1)}
       140:{3,4,6}:{(110,1),(165,1),(166,1),(197,1)}
       141:{1,2,4,7}:{(109,1),(110,1),(111,1),(113,1),(165,1),(171,1),(191,1)}
       142:{1,2,4,5}:{(110,1),(112,1),(114,1),(123,1),(160,1),(166,1),(172,1),(192,1)}
       143:{1,4,5,7}:{(111,1),(112,1),(115,1),(124,1),(161,1),(168,1)}
       144:{2,4,5,7}:{(113,1),(114,1),(115,1),(125,1),(169,1)}
       145:{3,4,6}:{(115,1),(126,1),(168,1),(169,1),(197,1)}
       146:{1,2,5,6,7}:{(116,1),(117,1),(118,1),(162,1),(170,1),(174,1),(206,1)}
       147:{1,3,5,7}:{(118,1),(119,1),(120,1),(163,1),(171,1)}
       148:{1,4,6}:{(119,1),(164,1),(171,1),(172,1)}
       149:{1,3,4,6,7}:{(120,1),(121,1),(122,1),(165,1),(171,1),(173,1),(195,1),(197,1),(199,1)}
       150:{1,3,5}:{(121,1),(123,1),(166,1),(172,1)}
       151:{1,2,5,7}:{(122,1),(123,1),(124,1),(125,1),(173,1),(174,1),(206,1)}
       152:{1,5,6}:{(124,1),(126,1),(168,1)}
       153:{2,3,5,6}:{(125,1),(126,1),(169,1),(174,1),(197,1)}
       154:{1,3,6,7}:{(127,1),(136,1),(175,1),(181,1),(182,1)}
       155:{1,2,5,7}:{(127,1),(128,1),(129,1),(175,1),(176,1)}
       156:{2,3,5,6}:{(128,1),(130,1),(139,1),(176,1),(177,1),(179,1),(202,1),(209,1)}
       157:{2,3,7}:{(129,1),(130,1)}
       158:{2,3,4,6}:{(130,1),(131,1),(133,1),(140,1),(177,1),(178,1),(179,1),(202,1)}
       159:{1,2,4,7}:{(132,1),(133,1),(134,1),(178,1),(180,1)}
       160:{1,2,5}:{(133,1),(135,1),(179,1)}
       161:{1,3,5,7}:{(134,1),(135,1),(143,1),(180,1),(181,1),(185,1)}
       162:{1,2,4,6,7}:{(136,1),(137,1),(138,1),(146,1),(175,1),(182,1),(186,1),(187,1),(200,1)}
       163:{3,5,7}:{(138,1),(139,1),(182,1),(183,1)}
       164:{3,4,6}:{(139,1),(148,1),(177,1),(183,1),(184,1)}
       165:{3,4,7}:{(140,1),(141,1),(185,1)}
       166:{3,5}:{(140,1),(142,1)}
       167:{1,2,4,5,7}:{(141,1),(142,1),(143,1),(144,1),(151,1),(180,1),(185,1),(186,1),(188,1),(201,1)}
       168:{1,4,6}:{(143,1),(145,1),(152,1),(181,1)}
       169:{2,4,6}:{(144,1),(145,1),(153,1)}
       170:{1,3,5,6,7}:{(146,1),(147,1),(182,1),(187,1),(189,1),(203,1)}
       171:{1,4,7}:{(147,1),(148,1),(183,1)}
       172:{1,4,5}:{(148,1),(150,1),(184,1)}
       173:{1,3,5,7}:{(149,1),(150,1),(151,1),(185,1),(188,1),(189,1),(203,1)}
       174:{1,2,5,6}:{(151,1),(152,1),(153,1),(186,1),(189,1),(209,1)}
       175:{1,2,6,7}:{(154,1),(155,1),(190,1),(194,1)}
       176:{2,3,5,7}:{(155,1),(156,1),(157,1),(163,1),(190,1),(191,1),(206,1)}
       177:{2,4,6}:{(156,1),(164,1),(191,1),(192,1)}
       178:{2,3,4,7}:{(157,1),(158,1),(159,1),(165,1),(191,1),(193,1)}
       179:{2,3,5}:{(158,1),(160,1),(166,1),(192,1)}
       180:{1,2,5,7}:{(159,1),(160,1),(161,1),(193,1),(194,1)}
       181:{1,3,6}:{(161,1),(168,1),(194,1),(197,1)}
       182:{3,6,7}:{(162,1),(163,1),(197,1)}
       183:{3,4,7}:{(163,1),(164,1),(171,1),(191,1)}
       184:{3,4,5}:{(164,1),(166,1),(172,1),(192,1)}
       185:{3,5,7}:{(165,1),(166,1),(167,1),(197,1)}
       186:{1,2,4,6}:{(167,1),(168,1),(169,1),(174,1),(194,1),(197,1),(199,1),(207,1)}
       187:{1,4,6,7}:{(170,1),(171,1),(195,1),(198,1),(199,1)}
       188:{1,4,5,7}:{(171,1),(172,1),(173,1),(196,1),(199,1)}
       189:{1,3,5,6}:{(173,1),(174,1),(197,1),(199,1),(208,1)}
       190:{2,3,6,7}:{(175,1),(176,1),(182,1),(200,1),(202,1)}
       191:{2,4,7}:{(176,1),(177,1),(183,1)}
       192:{2,4,5}:{(177,1),(179,1),(184,1)}
       193:{2,3,5,7}:{(178,1),(179,1),(180,1),(185,1),(201,1),(202,1)}
       194:{1,2,6}:{(180,1),(181,1),(202,1)}
       195:{3,4,6,7}:{(182,1),(183,1),(187,1),(200,1),(203,1),(204,1)}
       196:{3,4,5,7}:{(183,1),(184,1),(185,1),(188,1),(201,1),(203,1),(204,1)}
       197:{3,6}:{(185,1),(186,1)}
       198:{1,4,5,7}:{(187,1),(203,1),(205,1)}
       199:{1,4,6}:{(188,1),(189,1),(204,1)}
       200:{2,4,6,7}:{(190,1),(191,1),(195,1),(206,1),(207,1)}
       201:{2,4,5,7}:{(191,1),(192,1),(193,1),(196,1),(206,1),(207,1)}
       202:{2,3,6}:{(193,1),(194,1),(197,1),(207,1)}
       203:{3,5,7}:{(195,1),(198,1),(206,1),(208,1)}
       204:{3,4,6}:{(196,1),(197,1),(199,1),(207,1),(208,1)}
       205:{1,4,5,6}:{(198,1),(199,1),(208,1)}
       206:{2,5,7}:{(200,1),(203,1),(209,1)}
       207:{2,4,6}:{(201,1),(202,1),(204,1),(209,1)}
       208:{3,5,6}:{(203,1),(204,1),(205,1),(209,1)}
       209:{2,5,6}:{(206,1),(207,1),(208,1)}

1901 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(20,1),(51,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(32,1),(66,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(23,1),(46,1),(81,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(18,1),(23,1),(45,1),(84,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(19,1),(23,1),(44,1),(83,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(32,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(61,1),(101,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(60,1),(100,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(30,1),(31,1),(103,1)}
         9:{3,4,5,6}:{(5,1),(16,1),(17,1),(43,1),(81,1),(154,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(16,1),(18,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(17,1),(19,1)}
        12:{1,3,4,6,7}:{(6,1),(18,1),(21,1),(23,1),(37,1),(46,1)}
        13:{2,3,4,6,7}:{(7,1),(19,1),(22,1),(23,1),(39,1),(46,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(20,1),(23,1),(122,1)}
        15:{1,2,3,5,6,7}:{(8,1),(23,1),(24,1),(44,1),(45,1),(47,1),(50,1),(74,1),(82,1),(83,1),(84,1),(125,1),(157,1),(169,1),(171,1)}
        16:{1,4,5,6}:{(9,1),(10,1),(27,1),(101,1),(158,1)}
        17:{2,4,5,6}:{(9,1),(11,1),(28,1),(100,1),(162,1)}
        18:{1,3,5,7}:{(10,1),(12,1),(27,1),(30,1),(32,1)}
        19:{2,3,5,7}:{(11,1),(13,1),(28,1),(31,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(29,1),(30,1),(31,1),(32,1),(60,1),(61,1)}
        21:{1,2,4,6,7}:{(12,1),(30,1),(33,1),(52,1),(60,1)}
        22:{1,2,4,6,7}:{(13,1),(31,1),(34,1),(54,1),(61,1)}
        23:{3,6,7}:{(14,1),(32,1),(142,1)}
        24:{1,2,4,6,7}:{(15,1),(35,1),(36,1),(60,1),(61,1),(94,1),(100,1),(101,1),(173,1),(174,1)}
        25:{1,3,4,5,7}:{(18,1),(37,1),(38,1),(46,1),(77,1),(80,1),(108,1),(121,1),(144,1)}
        26:{2,3,4,5,7}:{(19,1),(39,1),(40,1),(46,1),(77,1),(79,1),(113,1),(121,1),(149,1)}
        27:{1,3,5,6}:{(16,1),(18,1),(37,1),(41,1),(43,1),(144,1)}
        28:{2,3,5,6}:{(17,1),(19,1),(39,1),(42,1),(43,1),(149,1)}
        29:{1,2,4,5,6}:{(16,1),(17,1),(20,1),(41,1),(42,1),(43,1),(75,1),(76,1),(117,1),(122,1)}
        30:{1,2,5,7}:{(18,1),(21,1),(41,1),(44,1)}
        31:{1,2,5,7}:{(19,1),(22,1),(42,1),(45,1)}
        32:{3,5,7}:{(20,1),(23,1),(43,1),(46,1)}
        33:{2,3,6,7}:{(21,1),(23,1),(44,1),(68,1)}
        34:{1,3,6,7}:{(22,1),(23,1),(45,1),(71,1)}
        35:{3,4,6,7}:{(23,1),(24,1),(46,1),(50,1),(81,1),(116,1),(157,1),(172,1)}
        36:{1,2,4,5,7}:{(24,1),(50,1),(51,1),(79,1),(80,1),(82,1),(117,1)}
        37:{1,3,4,6}:{(25,1),(27,1),(52,1),(58,1),(101,1),(142,1)}
        38:{1,2,4,5,7}:{(25,1),(30,1),(52,1),(53,1),(60,1),(88,1),(95,1),(127,1)}
        39:{2,3,4,6}:{(26,1),(28,1),(54,1),(58,1),(100,1),(142,1)}
        40:{1,2,4,5,7}:{(26,1),(31,1),(54,1),(55,1),(61,1),(92,1),(96,1),(133,1)}
        41:{1,2,5,6}:{(27,1),(30,1),(52,1),(56,1),(127,1)}
        42:{1,2,5,6}:{(28,1),(31,1),(54,1),(57,1),(133,1)}
        43:{3,5,6}:{(29,1),(32,1),(58,1),(138,1),(142,1)}
        44:{2,3,5,7}:{(30,1),(32,1),(33,1),(56,1),(60,1)}
        45:{1,3,5,7}:{(31,1),(32,1),(34,1),(57,1),(61,1)}
        46:{3,4,7}:{(32,1),(58,1),(60,1),(61,1)}
        47:{1,2,3,6,7}:{(33,1),(34,1),(59,1),(63,1),(86,1),(90,1),(142,1),(161,1),(165,1)}
        48:{2,3,4,6,7}:{(33,1),(35,1),(60,1),(63,1),(64,1),(87,1),(98,1),(100,1),(132,1),(142,1),(165,1),(174,1)}
        49:{1,3,4,6,7}:{(34,1),(35,1),(61,1),(63,1),(65,1),(91,1),(98,1),(101,1),(126,1),(142,1),(161,1),(173,1)}
        50:{3,5,7}:{(35,1),(36,1),(66,1),(138,1)}
        51:{1,2,4,5,6}:{(36,1),(66,1),(100,1),(101,1),(103,1)}
        52:{1,2,4,6}:{(37,1),(38,1),(41,1),(68,1),(75,1)}
        53:{2,3,5,7}:{(38,1),(68,1),(70,1),(107,1),(121,1)}
        54:{1,2,4,6}:{(39,1),(40,1),(42,1),(71,1),(76,1)}
        55:{1,3,5,7}:{(40,1),(71,1),(73,1),(112,1),(121,1)}
        56:{2,3,5,6}:{(41,1),(43,1),(44,1),(68,1),(75,1),(107,1)}
        57:{1,3,5,6}:{(42,1),(43,1),(45,1),(71,1),(76,1),(112,1)}
        58:{3,4,6}:{(43,1),(46,1),(75,1),(76,1),(77,1)}
        59:{1,2,3,5,7}:{(44,1),(45,1),(47,1),(74,1),(78,1),(82,1),(121,1),(169,1),(171,1)}
        60:{2,4,7}:{(44,1),(46,1),(75,1)}
        61:{1,4,7}:{(45,1),(46,1),(76,1)}
        62:{3,4,5,7}:{(46,1),(50,1),(77,1),(79,1),(80,1),(81,1),(121,1),(154,1),(172,1)}
        63:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(78,1),(82,1),(106,1),(111,1),(122,1)}
        64:{2,3,5,7}:{(48,1),(50,1),(79,1),(82,1),(83,1),(107,1),(121,1),(149,1)}
        65:{1,3,5,7}:{(49,1),(50,1),(80,1),(82,1),(84,1),(112,1),(121,1),(144,1)}
        66:{3,5,6}:{(50,1),(51,1),(81,1)}
        67:{1,2,4,5,6,7}:{(51,1),(85,1),(123,1),(124,1),(125,1),(156,1)}
        68:{2,3,6}:{(52,1),(53,1),(142,1)}
        69:{1,2,3,5,7}:{(53,1),(86,1),(88,1),(127,1),(129,1)}
        70:{2,3,4,7}:{(53,1),(60,1),(87,1),(88,1),(98,1)}
        71:{1,3,6}:{(54,1),(55,1),(142,1)}
        72:{1,2,3,5,7}:{(55,1),(90,1),(92,1),(133,1),(135,1)}
        73:{1,3,4,7}:{(55,1),(61,1),(91,1),(92,1),(98,1)}
        74:{1,2,3,5,6}:{(56,1),(57,1),(59,1),(86,1),(90,1),(94,1),(103,1),(127,1),(133,1),(138,1),(142,1),(159,1),(163,1)}
        75:{2,4,6}:{(56,1),(58,1),(60,1),(95,1)}
        76:{1,4,6}:{(57,1),(58,1),(61,1),(96,1)}
        77:{3,4,5}:{(58,1),(95,1),(96,1),(138,1)}
        78:{1,2,4,7}:{(59,1),(60,1),(61,1),(94,1),(98,1),(173,1),(174,1)}
        79:{2,4,5,7}:{(60,1),(62,1),(64,1),(95,1),(100,1),(162,1),(174,1)}
        80:{1,4,5,7}:{(61,1),(62,1),(65,1),(96,1),(101,1),(158,1),(173,1)}
        81:{3,4,6}:{(62,1),(66,1),(100,1),(101,1),(142,1)}
        82:{1,2,5,7}:{(63,1),(64,1),(65,1),(103,1),(127,1),(133,1)}
        83:{2,3,5,6}:{(64,1),(66,1),(100,1),(103,1),(142,1)}
        84:{1,3,5,6}:{(65,1),(66,1),(101,1),(103,1),(142,1)}
        85:{3,5,6,7}:{(66,1),(67,1),(102,1),(167,1)}
        86:{1,2,3,6}:{(68,1),(69,1),(106,1),(147,1)}
        87:{2,3,4,6}:{(68,1),(70,1),(75,1),(106,1),(107,1),(116,1)}
        88:{1,2,4,7}:{(69,1),(70,1),(106,1),(108,1)}
        89:{2,3,4,5,7}:{(70,1),(79,1),(107,1),(109,1),(110,1),(121,1),(146,1),(154,1),(172,1)}
        90:{1,2,3,6}:{(71,1),(72,1),(111,1),(152,1)}
        91:{1,3,4,6}:{(71,1),(73,1),(76,1),(111,1),(112,1),(116,1)}
        92:{1,2,4,7}:{(72,1),(73,1),(111,1),(113,1)}
        93:{1,3,4,5,7}:{(73,1),(80,1),(112,1),(114,1),(115,1),(121,1),(151,1),(154,1),(172,1)}
        94:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(116,1),(117,1),(168,1),(170,1)}
        95:{2,4,5}:{(75,1),(77,1),(107,1)}
        96:{1,4,5}:{(76,1),(77,1),(112,1)}
        97:{3,4,5,6}:{(77,1),(81,1),(118,1),(119,1),(120,1),(155,1)}
        98:{3,4,7}:{(78,1),(116,1),(121,1)}
        99:{1,2,4,5,7}:{(78,1),(79,1),(80,1),(82,1),(117,1),(121,1),(122,1)}
       100:{2,4,6}:{(79,1),(81,1),(83,1)}
       101:{1,4,6}:{(80,1),(81,1),(84,1)}
       102:{3,4,6,7}:{(81,1),(85,1),(120,1),(123,1),(124,1),(157,1),(172,1)}
       103:{1,2,5,6}:{(82,1),(83,1),(84,1),(122,1)}
       104:{2,3,5,6,7}:{(83,1),(85,1),(123,1),(125,1),(146,1),(157,1),(171,1)}
       105:{1,3,5,6,7}:{(84,1),(85,1),(124,1),(125,1),(151,1),(157,1),(169,1)}
       106:{1,2,4,6}:{(86,1),(87,1),(88,1),(126,1),(127,1)}
       107:{2,3,5}:{(87,1),(95,1),(127,1),(138,1)}
       108:{1,3,4,7}:{(88,1),(98,1),(126,1),(129,1),(173,1)}
       109:{1,2,4,5,7}:{(88,1),(89,1),(127,1),(129,1),(130,1),(158,1),(160,1),(173,1)}
       110:{2,3,4,6}:{(89,1),(100,1),(128,1),(130,1),(142,1),(166,1)}
       111:{1,2,4,6}:{(90,1),(91,1),(92,1),(132,1),(133,1)}
       112:{1,3,5}:{(91,1),(96,1),(133,1),(138,1)}
       113:{2,3,4,7}:{(92,1),(98,1),(132,1),(135,1),(174,1)}
       114:{1,2,4,5,7}:{(92,1),(93,1),(133,1),(135,1),(136,1),(162,1),(164,1),(174,1)}
       115:{1,3,4,6}:{(93,1),(101,1),(134,1),(136,1),(142,1),(166,1)}
       116:{3,4,6}:{(94,1),(98,1),(138,1),(142,1)}
       117:{1,2,4,5}:{(94,1),(95,1),(96,1),(127,1),(133,1),(138,1),(158,1),(162,1)}
       118:{2,4,5,6}:{(95,1),(97,1),(100,1),(128,1),(140,1)}
       119:{1,4,5,6}:{(96,1),(97,1),(101,1),(134,1),(141,1)}
       120:{3,4,5,7}:{(97,1),(102,1),(140,1),(141,1),(167,1)}
       121:{3,5,7}:{(98,1),(99,1),(138,1),(142,1)}
       122:{1,2,4,6}:{(99,1),(100,1),(101,1),(103,1),(142,1)}
       123:{2,4,6,7}:{(100,1),(102,1),(104,1),(140,1),(174,1)}
       124:{1,4,6,7}:{(101,1),(102,1),(105,1),(141,1),(173,1)}
       125:{1,2,5,6,7}:{(103,1),(104,1),(105,1),(143,1),(160,1),(164,1)}
       126:{1,3,4,6}:{(106,1),(108,1),(116,1),(144,1),(147,1),(168,1)}
       127:{1,2,5}:{(106,1),(107,1),(144,1)}
       128:{2,3,5,6}:{(107,1),(110,1),(118,1),(145,1),(146,1),(155,1)}
       129:{1,3,5,7}:{(108,1),(109,1),(121,1),(144,1),(147,1)}
       130:{1,2,4,6}:{(109,1),(110,1),(145,1),(147,1),(168,1)}
       131:{2,3,4,6,7}:{(110,1),(123,1),(146,1),(148,1),(157,1),(172,1)}
       132:{2,3,4,6}:{(111,1),(113,1),(116,1),(149,1),(152,1),(170,1)}
       133:{1,2,5}:{(111,1),(112,1),(149,1)}
       134:{1,3,5,6}:{(112,1),(115,1),(119,1),(150,1),(151,1),(155,1)}
       135:{2,3,5,7}:{(113,1),(114,1),(121,1),(149,1),(152,1)}
       136:{1,2,4,6}:{(114,1),(115,1),(150,1),(152,1),(170,1)}
       137:{1,3,4,6,7}:{(115,1),(124,1),(151,1),(153,1),(157,1),(172,1)}
       138:{3,5}:{(116,1),(117,1)}
       139:{1,2,4,5,6}:{(117,1),(118,1),(119,1),(122,1),(145,1),(150,1),(155,1),(156,1),(168,1),(170,1)}
       140:{2,4,5,7}:{(118,1),(120,1),(123,1),(146,1)}
       141:{1,4,5,7}:{(119,1),(120,1),(124,1),(151,1)}
       142:{3,6}:{(121,1),(122,1)}
       143:{1,2,4,6,7}:{(122,1),(123,1),(124,1),(125,1),(156,1),(157,1)}
       144:{1,3,5}:{(126,1),(127,1),(138,1),(158,1)}
       145:{1,2,5,6}:{(127,1),(128,1),(130,1),(159,1),(160,1)}
       146:{2,3,5,7}:{(128,1),(131,1),(140,1),(160,1),(167,1)}
       147:{1,3,6}:{(129,1),(130,1),(142,1)}
       148:{1,2,4,6,7}:{(130,1),(131,1),(160,1),(161,1),(173,1)}
       149:{2,3,5}:{(132,1),(133,1),(138,1),(162,1)}
       150:{1,2,5,6}:{(133,1),(134,1),(136,1),(163,1),(164,1)}
       151:{1,3,5,7}:{(134,1),(137,1),(141,1),(164,1),(167,1)}
       152:{2,3,6}:{(135,1),(136,1),(142,1)}
       153:{1,2,4,6,7}:{(136,1),(137,1),(164,1),(165,1),(174,1)}
       154:{3,4,5}:{(138,1),(158,1),(162,1),(166,1)}
       155:{3,5,6}:{(138,1),(139,1),(142,1),(166,1),(167,1)}
       156:{1,2,4,5,7}:{(139,1),(140,1),(141,1),(143,1),(160,1),(164,1),(167,1),(173,1),(174,1)}
       157:{3,6,7}:{(142,1),(143,1),(167,1)}
       158:{1,4,5}:{(144,1),(154,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(145,1),(147,1),(155,1),(168,1),(169,1)}
       160:{1,2,5,7}:{(145,1),(146,1),(148,1),(169,1)}
       161:{1,3,6,7}:{(147,1),(148,1),(157,1),(169,1)}
       162:{2,4,5}:{(149,1),(154,1),(170,1)}
       163:{2,3,5,6}:{(149,1),(150,1),(152,1),(155,1),(170,1),(171,1)}
       164:{1,2,5,7}:{(150,1),(151,1),(153,1),(171,1)}
       165:{2,3,6,7}:{(152,1),(153,1),(157,1),(171,1)}
       166:{3,4,6}:{(154,1),(155,1),(168,1),(170,1),(172,1)}
       167:{3,5,7}:{(155,1),(156,1),(157,1),(172,1)}
       168:{1,4,6}:{(158,1),(159,1),(166,1),(173,1)}
       169:{1,3,5,7}:{(159,1),(160,1),(161,1),(167,1),(173,1)}
       170:{2,4,6}:{(162,1),(163,1),(166,1),(174,1)}
       171:{2,3,5,7}:{(163,1),(164,1),(165,1),(167,1),(174,1)}
       172:{3,4,7}:{(166,1),(167,1),(173,1),(174,1)}
       173:{1,4,7}:{(168,1),(169,1),(172,1)}
       174:{2,4,7}:{(170,1),(171,1),(172,1)}

1902 :   0:{3,4,5,6,7}:{(1,1),(2,1),(12,1),(90,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(96,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(98,1)}
         3:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(12,1),(86,1)}
         4:{2,3,5,6,7}:{(2,1),(9,1),(11,1),(12,1),(88,1)}
         5:{1,2,4,5,6,7}:{(1,1),(2,1),(10,1),(11,1),(12,1),(29,1),(30,1),(59,1)}
         6:{2,3,4,5,6}:{(13,1),(14,1),(45,1),(64,1),(99,1)}
         7:{1,3,4,5,6}:{(15,1),(16,1),(45,1),(68,1),(97,1)}
         8:{1,3,4,6,7}:{(3,1),(15,1),(17,1),(21,1)}
         9:{2,3,4,6,7}:{(4,1),(13,1),(18,1),(21,1)}
        10:{1,2,5,6,7}:{(3,1),(17,1),(19,1),(71,1)}
        11:{1,2,5,6,7}:{(4,1),(18,1),(20,1),(74,1)}
        12:{3,5,6,7}:{(5,1),(21,1),(76,1)}
        13:{2,3,4,5,7}:{(6,1),(9,1),(22,1),(31,1),(78,1),(88,1)}
        14:{1,2,4,5,6}:{(6,1),(22,1),(23,1),(48,1),(61,1),(89,1)}
        15:{1,3,4,5,7}:{(7,1),(8,1),(24,1),(31,1),(82,1),(86,1)}
        16:{1,2,4,5,6}:{(7,1),(24,1),(25,1),(52,1),(60,1),(87,1)}
        17:{1,2,4,6,7}:{(8,1),(10,1),(24,1),(26,1),(29,1)}
        18:{1,2,4,6,7}:{(9,1),(11,1),(22,1),(27,1),(30,1)}
        19:{2,3,5,6,7}:{(10,1),(12,1),(26,1),(29,1),(55,1)}
        20:{1,3,5,6,7}:{(11,1),(12,1),(27,1),(30,1),(57,1)}
        21:{3,4,6,7}:{(12,1),(29,1),(30,1),(31,1)}
        22:{1,2,4,5,7}:{(13,1),(14,1),(18,1),(32,1),(44,1),(62,1),(74,1)}
        23:{1,3,5,6}:{(14,1),(32,1),(34,1)}
        24:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(35,1),(43,1),(66,1),(71,1)}
        25:{2,3,5,6}:{(16,1),(35,1),(37,1)}
        26:{2,3,6,7}:{(17,1),(35,1)}
        27:{1,3,6,7}:{(18,1),(32,1)}
        28:{1,2,3,5,6,7}:{(19,1),(20,1),(38,1),(40,1),(42,1),(71,1),(74,1),(76,1),(97,1),(99,1)}
        29:{2,4,6,7}:{(19,1),(21,1),(43,1)}
        30:{1,4,6,7}:{(20,1),(21,1),(44,1)}
        31:{3,4,5,7}:{(21,1),(43,1),(44,1),(45,1),(76,1)}
        32:{1,3,5,7}:{(22,1),(23,1),(27,1),(47,1)}
        33:{1,2,3,5,6}:{(23,1),(46,1),(48,1),(81,1),(89,1),(101,1)}
        34:{1,3,4,6}:{(23,1),(47,1),(48,1),(49,1)}
        35:{2,3,5,7}:{(24,1),(25,1),(26,1),(51,1)}
        36:{1,2,3,5,6}:{(25,1),(50,1),(52,1),(85,1),(87,1),(102,1)}
        37:{2,3,4,6}:{(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,6,7}:{(26,1),(50,1),(54,1),(102,1)}
        39:{2,3,4,6,7}:{(26,1),(29,1),(51,1),(54,1),(55,1),(58,1),(84,1)}
        40:{1,2,3,6,7}:{(27,1),(46,1),(56,1),(101,1)}
        41:{1,3,4,6,7}:{(27,1),(30,1),(47,1),(56,1),(57,1),(58,1),(80,1)}
        42:{1,2,4,6,7}:{(28,1),(29,1),(30,1),(58,1),(59,1),(103,1),(104,1)}
        43:{2,4,5,7}:{(29,1),(31,1),(55,1),(60,1)}
        44:{1,4,5,7}:{(30,1),(31,1),(57,1),(61,1)}
        45:{3,4,5,6}:{(31,1),(60,1),(61,1),(91,1)}
        46:{1,2,3,5,7}:{(32,1),(33,1),(40,1),(62,1),(74,1),(92,1)}
        47:{1,3,4,7}:{(32,1),(34,1),(62,1)}
        48:{1,2,4,6}:{(33,1),(34,1),(62,1),(64,1),(65,1)}
        49:{1,3,4,5}:{(34,1),(65,1)}
        50:{1,2,3,5,7}:{(35,1),(36,1),(38,1),(66,1),(71,1),(94,1)}
        51:{2,3,4,7}:{(35,1),(37,1),(66,1)}
        52:{1,2,4,6}:{(36,1),(37,1),(66,1),(68,1),(69,1)}
        53:{2,3,4,5}:{(37,1),(69,1)}
        54:{1,2,4,6,7}:{(38,1),(39,1),(66,1),(70,1),(71,1),(95,1)}
        55:{2,3,5,7}:{(39,1),(43,1),(71,1),(72,1),(76,1)}
        56:{1,2,4,6,7}:{(40,1),(41,1),(62,1),(73,1),(74,1),(93,1)}
        57:{1,3,5,7}:{(41,1),(44,1),(74,1),(75,1),(76,1)}
        58:{3,4,6,7}:{(42,1),(76,1),(100,1)}
        59:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(71,1),(74,1),(76,1),(77,1),(96,1),(98,1)}
        60:{2,4,5,6}:{(43,1),(45,1),(72,1)}
        61:{1,4,5,6}:{(44,1),(45,1),(75,1)}
        62:{1,2,4,7}:{(46,1),(47,1),(48,1),(78,1)}
        63:{1,3,4,5,7}:{(47,1),(49,1),(57,1),(79,1),(80,1),(90,1)}
        64:{2,3,4,6}:{(48,1),(78,1),(81,1),(101,1)}
        65:{1,2,4,5}:{(48,1),(49,1),(81,1)}
        66:{1,2,4,7}:{(50,1),(51,1),(52,1),(82,1)}
        67:{2,3,4,5,7}:{(51,1),(53,1),(55,1),(83,1),(84,1),(90,1)}
        68:{1,3,4,6}:{(52,1),(82,1),(85,1),(102,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(85,1)}
        70:{1,3,4,6,7}:{(54,1),(58,1),(82,1),(86,1),(102,1),(103,1)}
        71:{1,2,5,7}:{(54,1),(55,1),(86,1),(87,1)}
        72:{2,3,5,6}:{(55,1),(60,1),(84,1),(87,1),(91,1)}
        73:{2,3,4,6,7}:{(56,1),(58,1),(78,1),(88,1),(101,1),(104,1)}
        74:{1,2,5,7}:{(56,1),(57,1),(88,1),(89,1)}
        75:{1,3,5,6}:{(57,1),(61,1),(80,1),(89,1),(91,1)}
        76:{3,5,7}:{(58,1),(59,1),(91,1)}
        77:{1,2,4,5,6}:{(59,1),(60,1),(61,1),(87,1),(89,1),(91,1),(103,1),(104,1)}
        78:{2,3,4,7}:{(62,1),(64,1),(92,1)}
        79:{1,2,4,5,7}:{(62,1),(63,1),(65,1),(74,1),(92,1),(93,1),(98,1)}
        80:{1,3,4,6}:{(63,1),(75,1),(93,1),(100,1)}
        81:{2,3,5}:{(64,1),(65,1)}
        82:{1,3,4,7}:{(66,1),(68,1),(94,1)}
        83:{1,2,4,5,7}:{(66,1),(67,1),(69,1),(71,1),(94,1),(95,1),(96,1)}
        84:{2,3,4,6}:{(67,1),(72,1),(95,1),(100,1)}
        85:{1,3,5}:{(68,1),(69,1)}
        86:{1,3,5,7}:{(70,1),(71,1),(76,1),(96,1),(97,1)}
        87:{1,2,5,6}:{(71,1),(72,1),(95,1),(97,1)}
        88:{2,3,5,7}:{(73,1),(74,1),(76,1),(98,1),(99,1)}
        89:{1,2,5,6}:{(74,1),(75,1),(93,1),(99,1)}
        90:{3,4,5,7}:{(76,1),(96,1),(98,1),(100,1)}
        91:{3,5,6}:{(76,1),(77,1),(100,1)}
        92:{2,3,5,7}:{(78,1),(79,1),(81,1),(101,1)}
        93:{1,2,4,6}:{(79,1),(80,1),(89,1),(101,1),(104,1)}
        94:{1,3,5,7}:{(82,1),(83,1),(85,1),(102,1)}
        95:{1,2,4,6}:{(83,1),(84,1),(87,1),(102,1),(103,1)}
        96:{1,4,5,7}:{(86,1),(90,1),(103,1)}
        97:{1,3,5,6}:{(86,1),(87,1),(91,1),(102,1),(103,1)}
        98:{2,4,5,7}:{(88,1),(90,1),(104,1)}
        99:{2,3,5,6}:{(88,1),(89,1),(91,1),(101,1),(104,1)}
       100:{3,4,6}:{(90,1),(91,1),(103,1),(104,1)}
       101:{2,3,6}:{(92,1),(93,1)}
       102:{1,3,6}:{(94,1),(95,1)}
       103:{1,4,6}:{(96,1),(97,1),(100,1)}
       104:{2,4,6}:{(98,1),(99,1),(100,1)}

1903 :   0:{1,2,3,4,6}:{(1,1),(2,1),(3,1),(4,1),(14,1),(17,1),(20,1),(23,1)}
         1:{1,2,3,4}:{(5,1)}
         2:{1,2,3,4}:{(7,1)}
         3:{1,2,3,5}:{(0,1),(9,1)}
         4:{1,2,3,4,7}:{(0,1),(11,1),(29,1),(34,1),(40,1)}
         5:{1,2,3,5}:{(1,1),(13,1),(14,1)}
         6:{1,3,4,5}:{(13,1),(15,1),(19,1)}
         7:{1,2,3,5}:{(2,1),(16,1),(17,1)}
         8:{2,3,4,5}:{(16,1),(18,1),(19,1)}
         9:{1,2,4,5}:{(3,1),(19,1),(20,1)}
        10:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(20,1),(22,1),(23,1),(47,1),(51,1),(54,1),(59,1)}
        11:{1,2,3,5,7}:{(3,1),(4,1),(21,1),(23,1)}
        12:{3,4,5,6}:{(24,1),(25,1),(26,1),(54,1),(89,1)}
        13:{1,2,4,5}:{(5,1),(6,1),(27,1),(28,1)}
        14:{1,2,3,6}:{(5,1),(28,1),(29,1)}
        15:{1,3,4,6}:{(6,1),(28,1),(30,1),(31,1),(37,1)}
        16:{1,2,4,5}:{(7,1),(8,1),(32,1),(33,1)}
        17:{1,2,3,6}:{(7,1),(33,1),(34,1)}
        18:{2,3,4,6}:{(8,1),(33,1),(35,1),(36,1),(37,1)}
        19:{3,4,5}:{(9,1),(37,1)}
        20:{1,2,4,6}:{(9,1),(10,1),(37,1),(40,1)}
        21:{1,2,4,5,7}:{(9,1),(11,1),(38,1),(40,1),(41,1),(76,1)}
        22:{1,2,3,5,7}:{(10,1),(29,1),(34,1),(40,1),(42,1),(65,1),(69,1),(72,1),(76,1)}
        23:{1,2,3,6}:{(11,1),(41,1)}
        24:{1,4,5,6}:{(12,1),(30,1),(43,1)}
        25:{2,4,5,6}:{(12,1),(35,1),(44,1)}
        26:{3,4,5,7}:{(12,1),(43,1),(44,1),(45,1),(72,1),(97,1)}
        27:{2,3,4,5}:{(13,1),(19,1),(46,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(15,1),(46,1),(47,1),(48,1)}
        29:{1,2,3,7}:{(14,1),(48,1)}
        30:{1,3,5,6}:{(15,1),(24,1),(47,1),(49,1),(54,1)}
        31:{1,3,4,7}:{(15,1),(48,1),(49,1),(55,1)}
        32:{1,3,4,5}:{(16,1),(19,1),(50,1)}
        33:{1,2,4,6}:{(16,1),(17,1),(18,1),(50,1),(51,1),(52,1)}
        34:{1,2,3,7}:{(17,1),(52,1)}
        35:{2,3,5,6}:{(18,1),(25,1),(51,1),(53,1),(54,1)}
        36:{2,3,4,7}:{(18,1),(52,1),(53,1),(55,1)}
        37:{3,4,6}:{(19,1),(20,1),(54,1),(55,1)}
        38:{3,4,5,7}:{(19,1),(21,1),(55,1),(56,1),(88,1)}
        39:{1,2,4,5,6}:{(20,1),(24,1),(25,1),(47,1),(51,1),(54,1),(57,1),(59,1),(80,1),(83,1),(89,1)}
        40:{1,2,4,7}:{(20,1),(22,1),(55,1)}
        41:{1,2,4,6}:{(21,1),(23,1),(56,1),(59,1)}
        42:{1,2,3,6,7}:{(22,1),(23,1),(58,1),(82,1),(85,1),(87,1)}
        43:{1,4,5,7}:{(24,1),(26,1),(49,1),(60,1)}
        44:{2,4,5,7}:{(25,1),(26,1),(53,1),(61,1)}
        45:{3,4,6,7}:{(26,1),(60,1),(61,1),(62,1),(87,1),(101,1)}
        46:{2,3,4,6}:{(27,1),(28,1),(37,1),(63,1),(64,1)}
        47:{1,2,5,6}:{(28,1),(30,1),(63,1),(65,1)}
        48:{1,2,4,7}:{(28,1),(29,1),(31,1),(64,1),(65,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(43,1),(65,1),(66,1),(72,1)}
        50:{1,3,4,6}:{(32,1),(33,1),(37,1),(67,1),(68,1)}
        51:{1,2,5,6}:{(33,1),(35,1),(67,1),(69,1)}
        52:{1,2,4,7}:{(33,1),(34,1),(36,1),(68,1),(69,1)}
        53:{2,3,5,7}:{(35,1),(36,1),(44,1),(69,1),(70,1),(72,1)}
        54:{3,5,6}:{(37,1),(39,1),(72,1)}
        55:{3,4,7}:{(37,1),(40,1),(72,1)}
        56:{3,4,6}:{(38,1),(41,1),(74,1)}
        57:{1,2,4,5,7}:{(39,1),(40,1),(43,1),(44,1),(65,1),(69,1),(72,1),(75,1),(76,1),(91,1),(93,1),(97,1)}
        58:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(73,1),(76,1)}
        59:{1,2,5,6}:{(41,1),(74,1),(76,1)}
        60:{1,4,6,7}:{(43,1),(45,1),(66,1),(77,1)}
        61:{2,4,6,7}:{(44,1),(45,1),(70,1),(78,1)}
        62:{3,5,6,7}:{(45,1),(77,1),(78,1),(79,1)}
        63:{2,3,5,6}:{(46,1),(47,1),(54,1),(80,1),(81,1)}
        64:{2,3,4,7}:{(46,1),(48,1),(55,1),(81,1)}
        65:{1,2,5,7}:{(47,1),(48,1),(49,1),(81,1),(82,1)}
        66:{1,3,6,7}:{(49,1),(60,1),(82,1),(87,1)}
        67:{1,3,5,6}:{(50,1),(51,1),(54,1),(83,1),(84,1)}
        68:{1,3,4,7}:{(50,1),(52,1),(55,1),(84,1)}
        69:{1,2,5,7}:{(51,1),(52,1),(53,1),(84,1),(85,1)}
        70:{2,3,6,7}:{(53,1),(61,1),(85,1),(87,1)}
        71:{3,4,5,6}:{(54,1),(80,1),(83,1),(86,1),(89,1)}
        72:{3,5,7}:{(54,1),(55,1),(57,1),(87,1)}
        73:{3,4,6,7}:{(55,1),(56,1),(58,1),(87,1),(88,1),(101,1)}
        74:{3,5,6}:{(56,1),(59,1),(88,1),(89,1)}
        75:{1,2,4,6,7}:{(57,1),(60,1),(61,1),(82,1),(85,1),(87,1),(90,1),(98,1),(99,1),(101,1)}
        76:{1,2,5,7}:{(58,1),(59,1),(88,1)}
        77:{1,5,6,7}:{(60,1),(62,1)}
        78:{2,5,6,7}:{(61,1),(62,1)}
        79:{4,5,6,7}:{(62,1),(101,1)}
        80:{2,4,5,6}:{(63,1),(71,1),(91,1)}
        81:{2,3,5,7}:{(63,1),(64,1),(65,1),(72,1),(91,1),(92,1)}
        82:{1,2,6,7}:{(65,1),(66,1),(92,1)}
        83:{1,4,5,6}:{(67,1),(71,1),(93,1)}
        84:{1,3,5,7}:{(67,1),(68,1),(69,1),(72,1),(93,1),(94,1)}
        85:{1,2,6,7}:{(69,1),(70,1),(94,1)}
        86:{3,4,5,7}:{(71,1),(72,1),(91,1),(93,1),(95,1),(97,1)}
        87:{3,6,7}:{(72,1),(75,1)}
        88:{3,5,7}:{(73,1),(74,1),(76,1),(97,1)}
        89:{4,5,6}:{(74,1),(97,1)}
        90:{1,2,5,6,7}:{(75,1),(76,1),(77,1),(78,1),(96,1),(102,1),(103,1)}
        91:{2,4,5,7}:{(80,1),(81,1),(86,1),(98,1)}
        92:{2,3,6,7}:{(81,1),(82,1),(87,1),(98,1)}
        93:{1,4,5,7}:{(83,1),(84,1),(86,1),(99,1)}
        94:{1,3,6,7}:{(84,1),(85,1),(87,1),(99,1)}
        95:{3,4,6,7}:{(86,1),(87,1),(98,1),(99,1),(100,1),(101,1)}
        96:{3,5,6,7}:{(87,1),(88,1),(90,1),(101,1)}
        97:{4,5,7}:{(88,1),(89,1),(101,1)}
        98:{2,4,6,7}:{(91,1),(92,1),(95,1),(102,1)}
        99:{1,4,6,7}:{(93,1),(94,1),(95,1),(103,1)}
       100:{3,5,6,7}:{(95,1),(102,1),(103,1),(104,1)}
       101:{4,6,7}:{(96,1),(97,1)}
       102:{2,5,6,7}:{(98,1),(100,1)}
       103:{1,5,6,7}:{(99,1),(100,1)}
       104:{4,5,6,7}:{(100,1),(101,1)}

1904 :   0:{1,2,3,6,7}:{(3,1),(4,1),(48,1),(80,1),(83,1),(84,1),(85,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(42,1),(48,1),(52,1),(84,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(48,1),(54,1),(83,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(29,1),(61,1),(71,1),(72,1),(94,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(30,1),(69,1),(70,1),(90,1),(91,1),(93,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(11,1),(30,1),(60,1),(62,1)}
         6:{1,3,5,7}:{(2,1),(8,1),(12,1),(13,1),(30,1),(59,1),(64,1)}
         7:{1,2,3,5,6}:{(4,1),(14,1),(15,1),(40,1),(48,1),(77,1),(78,1),(79,1),(80,1),(85,1)}
         8:{1,2,5,7}:{(3,1),(5,1),(6,1),(15,1),(79,1),(81,1),(82,1)}
         9:{1,2,4,7}:{(4,1),(14,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(15,1),(19,1),(44,1),(48,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(75,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(15,1),(22,1),(46,1),(48,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(74,1),(95,1)}
        14:{1,2,4,6}:{(7,1),(9,1),(24,1),(25,1),(87,1),(88,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(12,1),(29,1),(63,1),(65,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(11,1),(13,1),(24,1),(29,1),(30,1),(35,1),(38,1),(69,1),(89,1),(101,1)}
        17:{3,4,7}:{(9,1),(25,1),(30,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(28,1),(33,1),(62,1),(66,1),(91,1)}
        19:{2,4,6}:{(10,1),(11,1),(34,1)}
        20:{3,4,5,7}:{(11,1),(30,1),(34,1),(35,1),(56,1),(62,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(28,1),(36,1),(64,1),(66,1),(90,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(30,1),(37,1),(38,1),(56,1),(64,1),(86,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(74,1),(75,1),(79,1)}
        25:{3,4,6}:{(14,1),(17,1),(40,1),(48,1)}
        26:{2,4,5,6}:{(19,1),(43,1),(44,1)}
        27:{1,4,5,6}:{(22,1),(45,1),(46,1)}
        28:{1,2,5,6,7}:{(15,1),(18,1),(21,1),(47,1),(81,1),(82,1),(99,1)}
        29:{1,2,4,6}:{(15,1),(16,1),(19,1),(22,1),(48,1),(53,1),(55,1),(85,1)}
        30:{3,5,7}:{(16,1),(17,1),(40,1),(48,1),(98,1),(104,1)}
        31:{1,3,4,7}:{(17,1),(41,1),(49,1),(51,1),(95,1),(104,1)}
        32:{2,3,4,7}:{(17,1),(42,1),(50,1),(51,1),(96,1),(104,1)}
        33:{2,4,6,7}:{(18,1),(19,1),(43,1),(52,1),(96,1)}
        34:{3,4,6}:{(19,1),(20,1),(44,1),(48,1),(53,1)}
        35:{1,4,5,7}:{(20,1),(49,1),(53,1),(74,1),(81,1),(95,1)}
        36:{1,4,6,7}:{(21,1),(22,1),(45,1),(54,1),(95,1)}
        37:{3,4,6}:{(22,1),(23,1),(46,1),(48,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(50,1),(55,1),(75,1),(82,1),(96,1)}
        39:{1,2,4,5,6}:{(24,1),(26,1),(27,1),(29,1),(57,1),(58,1),(63,1),(65,1),(87,1),(88,1),(92,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(31,1),(59,1),(61,1),(67,1),(87,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(32,1),(60,1),(61,1),(68,1),(88,1),(102,1),(103,1)}
        43:{2,4,5,7}:{(26,1),(33,1),(62,1)}
        44:{3,5,6}:{(26,1),(34,1),(62,1),(63,1)}
        45:{1,4,5,7}:{(27,1),(36,1),(64,1)}
        46:{3,5,6}:{(27,1),(37,1),(64,1),(65,1)}
        47:{1,2,4,6,7}:{(28,1),(29,1),(33,1),(36,1),(57,1),(66,1),(71,1),(72,1),(94,1),(101,1)}
        48:{3,6}:{(29,1),(30,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(35,1),(59,1),(67,1),(69,1)}
        50:{2,3,5,7}:{(30,1),(32,1),(38,1),(60,1),(68,1),(69,1)}
        51:{1,2,4,7}:{(31,1),(32,1),(61,1),(69,1),(70,1)}
        52:{3,4,6,7}:{(33,1),(34,1),(62,1),(66,1),(71,1),(86,1)}
        53:{1,4,6}:{(34,1),(35,1),(63,1),(67,1)}
        54:{3,4,6,7}:{(36,1),(37,1),(64,1),(66,1),(72,1),(86,1)}
        55:{2,4,6}:{(37,1),(38,1),(65,1),(68,1)}
        56:{3,4,5}:{(40,1),(73,1),(74,1),(75,1),(98,1)}
        57:{1,2,4,5,7}:{(39,1),(43,1),(45,1),(47,1),(76,1),(81,1),(82,1),(95,1),(96,1),(99,1)}
        58:{3,5,6}:{(39,1),(40,1),(48,1),(73,1),(76,1)}
        59:{1,3,5}:{(40,1),(41,1),(74,1),(79,1),(98,1)}
        60:{2,3,5}:{(40,1),(42,1),(75,1),(79,1),(98,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(51,1),(79,1),(80,1),(85,1),(100,1)}
        62:{3,5,7}:{(43,1),(44,1),(52,1),(81,1)}
        63:{1,5,6}:{(44,1),(53,1),(81,1)}
        64:{3,5,7}:{(45,1),(46,1),(54,1),(82,1)}
        65:{2,5,6}:{(46,1),(55,1),(82,1)}
        66:{3,6,7}:{(47,1),(48,1),(76,1),(104,1)}
        67:{1,3,6}:{(48,1),(49,1),(53,1),(85,1)}
        68:{2,3,6}:{(48,1),(50,1),(55,1),(85,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(85,1)}
        70:{1,2,3,7}:{(51,1),(80,1),(104,1)}
        71:{1,4,6,7}:{(52,1),(53,1),(81,1),(83,1),(95,1)}
        72:{2,4,6,7}:{(54,1),(55,1),(82,1),(84,1),(96,1)}
        73:{3,4,6}:{(56,1),(58,1),(86,1),(87,1),(88,1),(102,1)}
        74:{1,4,5}:{(56,1),(59,1),(87,1)}
        75:{2,4,5}:{(56,1),(60,1),(88,1)}
        76:{3,5,7}:{(57,1),(58,1),(66,1),(86,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(67,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(65,1),(68,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(70,1),(93,1),(102,1)}
        81:{1,5,7}:{(62,1),(63,1),(71,1)}
        82:{2,5,7}:{(64,1),(65,1),(72,1)}
        83:{1,3,6,7}:{(66,1),(67,1),(71,1),(90,1),(94,1)}
        84:{2,3,6,7}:{(66,1),(68,1),(72,1),(91,1),(94,1)}
        85:{1,2,6}:{(67,1),(68,1),(69,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        88:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(74,1),(75,1),(79,1),(97,1),(98,1),(100,1)}
        90:{1,3,5,7}:{(76,1),(77,1),(81,1),(83,1),(95,1),(99,1),(104,1)}
        91:{2,3,5,7}:{(76,1),(78,1),(82,1),(84,1),(96,1),(99,1),(104,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(85,1),(97,1),(99,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(98,1),(100,1)}
        94:{1,2,6,7}:{(83,1),(84,1),(85,1),(99,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,4,6}:{(87,1),(88,1),(89,1),(92,1),(101,1),(102,1)}
        98:{3,5}:{(89,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(90,1),(91,1),(92,1),(94,1),(101,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1905 :   0:{1,2,3,4,7}:{(1,1),(2,1),(21,1),(65,1)}
         1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1)}
         2:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(15,1),(54,1),(55,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(10,1),(19,1),(21,1)}
         4:{1,2,3,6}:{(1,1),(7,1)}
         5:{1,2,3,5}:{(2,1),(10,1)}
         6:{3,4,5,7}:{(3,1),(11,1),(16,1),(25,1),(30,1)}
         7:{1,2,4,6}:{(3,1),(4,1),(11,1),(13,1)}
         8:{1,2,3,6,7}:{(4,1),(12,1),(14,1),(49,1),(72,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(13,1),(14,1),(15,1),(29,1),(52,1),(54,1)}
        10:{1,2,4,5}:{(5,1),(15,1),(16,1)}
        11:{3,4,6}:{(6,1),(7,1),(18,1)}
        12:{1,2,4,6,7}:{(7,1),(8,1),(17,1),(19,1),(21,1)}
        13:{1,2,5,6}:{(7,1),(18,1),(19,1)}
        14:{1,2,3,5,7}:{(8,1),(9,1),(19,1),(21,1),(38,1),(63,1),(65,1)}
        15:{1,2,4,6}:{(9,1),(10,1),(21,1),(22,1)}
        16:{3,4,5}:{(10,1),(22,1)}
        17:{3,4,6,7}:{(11,1),(12,1),(25,1),(30,1),(45,1),(49,1)}
        18:{3,5,6}:{(11,1),(13,1),(25,1),(26,1)}
        19:{1,2,5,7}:{(12,1),(13,1),(25,1)}
        20:{1,2,4,5,6}:{(13,1),(15,1),(26,1),(28,1),(29,1),(47,1),(48,1),(52,1)}
        21:{1,2,4,7}:{(14,1),(15,1),(30,1)}
        22:{3,4,6}:{(15,1),(16,1),(29,1),(30,1)}
        23:{1,3,4,5}:{(16,1),(31,1),(33,1),(89,1)}
        24:{2,3,4,5}:{(16,1),(32,1),(33,1),(89,1)}
        25:{3,5,7}:{(17,1),(18,1),(19,1),(35,1)}
        26:{4,5,6}:{(18,1),(35,1)}
        27:{1,2,5,6,7}:{(19,1),(34,1),(37,1),(77,1),(78,1)}
        28:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(35,1),(37,1),(38,1),(58,1),(59,1),(63,1)}
        29:{3,5,6}:{(20,1),(22,1),(38,1)}
        30:{3,4,7}:{(21,1),(22,1),(38,1)}
        31:{1,3,4,6}:{(22,1),(23,1),(39,1),(41,1),(43,1),(81,1)}
        32:{2,3,4,6}:{(22,1),(24,1),(40,1),(42,1),(43,1),(81,1)}
        33:{1,2,4,5}:{(23,1),(24,1),(43,1),(44,1)}
        34:{3,5,6,7}:{(25,1),(27,1),(45,1),(49,1)}
        35:{4,5,7}:{(25,1),(26,1),(45,1)}
        36:{3,4,5,6}:{(26,1),(29,1),(46,1),(47,1),(48,1),(71,1),(104,1)}
        37:{1,2,4,6,7}:{(27,1),(28,1),(45,1),(49,1),(68,1),(69,1),(72,1)}
        38:{3,5,7}:{(28,1),(29,1),(30,1),(49,1)}
        39:{1,3,5,6}:{(29,1),(31,1),(47,1),(50,1),(52,1),(71,1)}
        40:{2,3,5,6}:{(29,1),(32,1),(48,1),(51,1),(52,1),(71,1)}
        41:{1,3,4,7}:{(30,1),(31,1),(50,1),(53,1),(88,1)}
        42:{2,3,4,7}:{(30,1),(32,1),(51,1),(53,1),(88,1)}
        43:{1,2,4,6}:{(31,1),(32,1),(33,1),(52,1),(53,1),(54,1)}
        44:{1,2,3,5}:{(33,1),(54,1),(55,1)}
        45:{4,6,7}:{(34,1),(35,1)}
        46:{3,4,5,7}:{(35,1),(36,1),(38,1),(57,1),(58,1),(59,1),(80,1),(102,1)}
        47:{1,4,5,6}:{(36,1),(39,1),(58,1)}
        48:{2,4,5,6}:{(36,1),(40,1),(59,1)}
        49:{3,6,7}:{(37,1),(38,1)}
        50:{1,3,5,7}:{(38,1),(39,1),(41,1),(58,1),(61,1),(63,1),(80,1)}
        51:{2,3,5,7}:{(38,1),(40,1),(42,1),(59,1),(62,1),(63,1),(80,1)}
        52:{1,2,5,6}:{(39,1),(40,1),(43,1),(63,1)}
        53:{1,2,4,7}:{(41,1),(42,1),(43,1),(63,1),(65,1)}
        54:{1,2,3,6}:{(43,1),(44,1),(65,1)}
        55:{1,2,3,4}:{(44,1)}
        56:{4,5,6,7}:{(45,1),(67,1),(98,1)}
        57:{3,4,6,7}:{(45,1),(46,1),(49,1),(67,1),(68,1),(69,1),(87,1),(98,1)}
        58:{1,4,5,7}:{(46,1),(47,1),(50,1),(68,1)}
        59:{2,4,5,7}:{(46,1),(48,1),(51,1),(69,1)}
        60:{1,2,4,5,6}:{(47,1),(48,1),(52,1),(70,1),(71,1),(74,1),(101,1),(104,1)}
        61:{1,3,6,7}:{(49,1),(50,1),(68,1),(72,1),(87,1)}
        62:{2,3,6,7}:{(49,1),(51,1),(69,1),(72,1),(87,1)}
        63:{1,2,5,7}:{(50,1),(51,1),(52,1),(53,1),(72,1)}
        64:{1,2,3,5,6}:{(52,1),(54,1),(71,1),(73,1),(74,1),(76,1),(92,1),(101,1)}
        65:{1,2,3,7}:{(53,1),(54,1)}
        66:{1,2,3,4,6}:{(54,1),(55,1),(74,1),(75,1),(76,1),(92,1)}
        67:{3,5,6,7}:{(56,1),(57,1),(77,1),(78,1)}
        68:{1,4,6,7}:{(57,1),(58,1),(61,1),(77,1)}
        69:{2,4,6,7}:{(57,1),(59,1),(62,1),(78,1)}
        70:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(63,1),(79,1),(80,1),(83,1),(96,1),(102,1)}
        71:{3,5,6}:{(60,1),(80,1),(81,1)}
        72:{1,2,6,7}:{(61,1),(62,1),(63,1)}
        73:{1,2,3,5,7}:{(63,1),(64,1),(65,1),(80,1),(82,1),(83,1),(96,1)}
        74:{1,2,4,6}:{(64,1),(81,1),(83,1),(84,1)}
        75:{1,2,3,4,7}:{(65,1),(66,1),(83,1),(85,1)}
        76:{1,2,3,5}:{(66,1),(84,1)}
        77:{1,5,6,7}:{(67,1),(68,1)}
        78:{2,5,6,7}:{(67,1),(69,1)}
        79:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(72,1),(86,1),(87,1),(98,1)}
        80:{3,5,7}:{(70,1),(71,1),(87,1),(88,1)}
        81:{3,4,6}:{(71,1),(74,1),(88,1),(89,1)}
        82:{1,2,3,6,7}:{(72,1),(73,1),(87,1),(90,1),(92,1)}
        83:{1,2,4,7}:{(73,1),(74,1),(88,1)}
        84:{1,2,4,5}:{(74,1),(76,1),(89,1)}
        85:{1,2,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,2,5,6,7}:{(77,1),(78,1),(79,1),(93,1),(96,1)}
        87:{3,6,7}:{(79,1),(80,1)}
        88:{3,4,7}:{(80,1),(81,1),(83,1)}
        89:{3,4,5}:{(81,1),(84,1)}
        90:{1,2,4,6,7}:{(82,1),(83,1),(94,1),(96,1),(97,1)}
        91:{1,2,4,5,7}:{(83,1),(84,1),(85,1),(95,1),(96,1),(97,1)}
        92:{1,2,3,6}:{(85,1),(97,1)}
        93:{3,5,6,7}:{(86,1),(87,1),(98,1),(99,1)}
        94:{3,4,6,7}:{(87,1),(88,1),(90,1),(98,1),(99,1),(100,1)}
        95:{3,4,5,7}:{(88,1),(89,1),(91,1),(99,1),(100,1)}
        96:{1,2,5,7}:{(90,1),(99,1),(101,1)}
        97:{1,2,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{4,6,7}:{(93,1),(102,1)}
        99:{3,5,7}:{(94,1),(96,1),(102,1),(103,1)}
       100:{3,4,6}:{(95,1),(97,1),(103,1)}
       101:{1,2,5,6}:{(96,1),(97,1),(103,1)}
       102:{4,5,7}:{(98,1),(99,1),(104,1)}
       103:{3,5,6}:{(99,1),(100,1),(101,1),(104,1)}
       104:{4,5,6}:{(102,1),(103,1)}

1906 :  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:{3,4,5}:{(2,1),(7,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
        6:{1,2,3,7}:{(3,1),(9,1)}
        7:{3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,5,6}:{(5,1),(10,1),(12,1)}
        9:{1,2,4,7}:{(5,1),(6,1),(11,1),(12,1)}
       10:{3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{3,4,7}:{(7,1),(9,1),(14,1)}
       12:{1,2,5,7}:{(8,1),(9,1),(14,1),(15,1)}
       13:{4,5,6}:{(10,1),(16,1)}
       14:{3,5,7}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
       15:{1,2,6,7}:{(12,1),(17,1)}
       16:{4,5,7}:{(13,1),(14,1),(18,1)}
       17:{3,6,7}:{(14,1),(15,1),(18,1)}
       18:{4,6,7}:{(16,1),(17,1),(19,1)}
       19:{5,6,7}:{(18,1)}

1907 :  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:{3,4,5,6}:{(4,1),(9,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,2,3,6,7}:{(5,1),(10,1)}
        9:{3,4,5,7}:{(6,1),(7,1),(11,1)}
       10:{1,2,4,6,7}:{(7,1),(8,1),(11,1),(12,1)}
       11:{3,4,6,7}:{(9,1),(10,1),(13,1)}
       12:{1,2,5,6,7}:{(10,1),(13,1)}
       13:{3,5,6,7}:{(11,1),(12,1),(14,1)}
       14:{4,5,6,7}:{(13,1)}

1908 :   0:{2,4,5,6,7}:{(2,1),(25,1),(135,1)}
         1:{1,4,5,6,7}:{(3,1),(27,1),(132,1)}
         2:{3,5,6,7}:{(0,1),(8,1),(9,1),(162,1)}
         3:{3,5,6,7}:{(1,1),(11,1),(13,1),(160,1)}
         4:{1,3,4,5,7}:{(14,1),(15,1),(19,1),(62,1),(117,1),(123,1),(128,1),(170,1),(176,1),(178,1)}
         5:{2,3,4,5,7}:{(16,1),(17,1),(22,1),(57,1),(113,1),(124,1),(127,1),(172,1),(176,1),(180,1)}
         6:{1,3,4,6,7}:{(14,1),(19,1),(20,1),(27,1),(76,1),(123,1),(133,1)}
         7:{2,3,4,6,7}:{(16,1),(22,1),(23,1),(25,1),(73,1),(127,1),(130,1)}
         8:{3,4,6,7}:{(2,1),(21,1),(24,1),(25,1),(73,1),(179,1)}
         9:{1,5,6,7}:{(2,1),(24,1),(183,1)}
        10:{2,3,5,6,7}:{(2,1),(22,1),(25,1),(26,1),(73,1),(125,1)}
        11:{3,4,6,7}:{(3,1),(18,1),(27,1),(28,1),(76,1),(181,1)}
        12:{1,3,5,6,7}:{(3,1),(19,1),(27,1),(29,1),(76,1),(129,1)}
        13:{2,5,6,7}:{(3,1),(28,1),(182,1)}
        14:{1,3,4,6}:{(4,1),(31,1),(32,1),(143,1),(158,1),(195,1),(196,1)}
        15:{1,2,4,5,7}:{(4,1),(32,1),(33,1),(40,1),(79,1),(94,1),(141,1),(144,1)}
        16:{2,3,4,6}:{(5,1),(35,1),(36,1),(146,1),(155,1),(195,1),(197,1)}
        17:{1,2,4,5,7}:{(5,1),(36,1),(37,1),(44,1),(79,1),(98,1),(141,1),(147,1)}
        18:{3,4,5,7}:{(11,1),(30,1),(38,1),(39,1),(93,1)}
        19:{1,3,5,7}:{(6,1),(31,1),(38,1),(40,1),(93,1),(161,1)}
        20:{1,2,4,6,7}:{(6,1),(32,1),(40,1),(41,1),(94,1)}
        21:{3,4,5,7}:{(8,1),(34,1),(42,1),(43,1),(97,1)}
        22:{2,3,5,7}:{(7,1),(35,1),(43,1),(44,1),(97,1),(159,1)}
        23:{1,2,4,6,7}:{(7,1),(36,1),(44,1),(45,1),(98,1)}
        24:{1,4,6,7}:{(8,1),(9,1),(42,1),(46,1),(196,1)}
        25:{2,4,6,7}:{(8,1),(10,1),(43,1),(155,1)}
        26:{1,2,5,6,7}:{(9,1),(10,1),(44,1),(47,1),(48,1),(152,1),(159,1)}
        27:{1,4,6,7}:{(11,1),(12,1),(38,1),(158,1)}
        28:{2,4,6,7}:{(11,1),(13,1),(39,1),(49,1),(197,1)}
        29:{1,2,5,6,7}:{(12,1),(13,1),(40,1),(50,1),(51,1),(152,1),(161,1)}
        30:{3,4,5,6}:{(18,1),(53,1),(54,1),(111,1),(172,1),(181,1)}
        31:{1,3,5,6}:{(14,1),(19,1),(53,1),(55,1),(111,1),(117,1),(183,1)}
        32:{1,2,4,6}:{(14,1),(15,1),(55,1),(56,1),(112,1)}
        33:{2,3,5,7}:{(15,1),(56,1),(57,1),(113,1),(176,1)}
        34:{3,4,5,6}:{(21,1),(58,1),(59,1),(115,1),(170,1),(179,1)}
        35:{2,3,5,6}:{(16,1),(22,1),(59,1),(60,1),(113,1),(115,1),(182,1)}
        36:{1,2,4,6}:{(16,1),(17,1),(60,1),(61,1),(116,1)}
        37:{1,3,5,7}:{(17,1),(61,1),(62,1),(117,1),(176,1)}
        38:{1,4,5,7}:{(18,1),(19,1),(27,1),(53,1)}
        39:{2,4,5,7}:{(18,1),(28,1),(54,1),(64,1)}
        40:{1,2,5,7}:{(19,1),(20,1),(55,1),(66,1)}
        41:{2,3,6,7}:{(20,1),(56,1),(66,1),(76,1)}
        42:{1,4,5,7}:{(21,1),(24,1),(58,1),(68,1)}
        43:{2,4,5,7}:{(21,1),(22,1),(25,1),(59,1)}
        44:{1,2,5,7}:{(22,1),(23,1),(60,1),(70,1)}
        45:{1,3,6,7}:{(23,1),(61,1),(70,1),(73,1)}
        46:{1,3,6,7}:{(24,1),(68,1),(72,1),(73,1),(206,1)}
        47:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(69,1),(72,1),(73,1),(74,1),(130,1),(177,1)}
        48:{1,3,5,6,7}:{(26,1),(70,1),(73,1),(74,1),(129,1),(131,1)}
        49:{2,3,6,7}:{(28,1),(64,1),(75,1),(76,1),(205,1)}
        50:{1,2,4,6,7}:{(27,1),(28,1),(29,1),(65,1),(75,1),(76,1),(77,1),(133,1),(177,1)}
        51:{2,3,5,6,7}:{(29,1),(66,1),(76,1),(77,1),(125,1),(134,1)}
        52:{1,2,3,5,7}:{(33,1),(37,1),(78,1),(79,1),(141,1)}
        53:{1,4,5,6}:{(30,1),(31,1),(38,1),(147,1),(158,1)}
        54:{2,4,5,6}:{(30,1),(39,1),(80,1),(191,1),(197,1)}
        55:{1,2,5,6}:{(31,1),(32,1),(40,1),(82,1),(141,1)}
        56:{2,3,6}:{(32,1),(33,1),(195,1)}
        57:{2,3,4,7}:{(33,1),(79,1),(83,1),(94,1),(150,1)}
        58:{1,4,5,6}:{(34,1),(42,1),(84,1),(190,1),(196,1)}
        59:{2,4,5,6}:{(34,1),(35,1),(43,1),(144,1),(155,1)}
        60:{1,2,5,6}:{(35,1),(36,1),(44,1),(86,1),(141,1)}
        61:{1,3,6}:{(36,1),(37,1),(195,1)}
        62:{1,3,4,7}:{(37,1),(79,1),(87,1),(98,1),(150,1)}
        63:{1,2,3,6,7}:{(41,1),(45,1),(78,1),(90,1),(91,1),(100,1),(103,1),(195,1),(209,1)}
        64:{2,3,5,7}:{(39,1),(49,1),(80,1),(89,1),(92,1),(93,1)}
        65:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(50,1),(81,1),(92,1),(93,1),(94,1),(105,1),(153,1),(161,1)}
        66:{2,3,5,7}:{(40,1),(41,1),(82,1),(93,1),(94,1)}
        67:{2,3,4,6,7}:{(41,1),(83,1),(91,1),(94,1),(95,1),(104,1),(150,1),(155,1),(195,1)}
        68:{1,3,5,7}:{(42,1),(46,1),(84,1),(88,1),(96,1),(97,1)}
        69:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(47,1),(85,1),(96,1),(97,1),(98,1),(102,1),(156,1),(159,1)}
        70:{1,3,5,7}:{(44,1),(45,1),(86,1),(97,1),(98,1)}
        71:{1,3,4,6,7}:{(45,1),(87,1),(91,1),(98,1),(99,1),(101,1),(150,1),(158,1),(195,1)}
        72:{1,2,6,7}:{(46,1),(96,1),(100,1),(209,1)}
        73:{3,6,7}:{(47,1),(97,1),(195,1)}
        74:{1,4,6,7}:{(48,1),(98,1),(101,1),(102,1),(158,1)}
        75:{1,2,6,7}:{(49,1),(92,1),(103,1),(209,1)}
        76:{3,6,7}:{(50,1),(93,1),(195,1)}
        77:{2,4,6,7}:{(51,1),(94,1),(104,1),(105,1),(155,1)}
        78:{1,2,3,6}:{(52,1),(56,1),(61,1),(109,1)}
        79:{1,2,4,7}:{(52,1),(57,1),(62,1),(109,1)}
        80:{2,3,5,6}:{(54,1),(64,1),(107,1),(110,1),(111,1),(202,1),(205,1)}
        81:{1,2,4,5,6}:{(53,1),(54,1),(55,1),(65,1),(110,1),(111,1),(112,1),(135,1),(168,1),(169,1),(177,1),(183,1)}
        82:{2,3,5,6}:{(55,1),(56,1),(66,1),(111,1),(112,1),(113,1)}
        83:{2,3,4,6}:{(56,1),(57,1),(109,1),(112,1),(113,1),(167,1)}
        84:{1,3,5,6}:{(58,1),(68,1),(106,1),(114,1),(115,1),(203,1),(206,1)}
        85:{1,2,4,5,6}:{(58,1),(59,1),(60,1),(69,1),(114,1),(115,1),(116,1),(132,1),(168,1),(171,1),(177,1),(182,1)}
        86:{1,3,5,6}:{(60,1),(61,1),(70,1),(115,1),(116,1),(117,1)}
        87:{1,3,4,6}:{(61,1),(62,1),(109,1),(116,1),(117,1),(167,1)}
        88:{1,3,4,7}:{(68,1),(106,1),(118,1),(127,1)}
        89:{2,3,4,7}:{(64,1),(107,1),(119,1),(123,1)}
        90:{1,2,3,5,7}:{(63,1),(66,1),(70,1),(108,1),(120,1),(121,1),(122,1),(126,1),(173,1),(176,1),(204,1)}
        91:{1,2,4,6,7}:{(63,1),(67,1),(71,1),(109,1),(120,1),(121,1),(130,1),(133,1),(177,1)}
        92:{1,2,5,7}:{(64,1),(75,1),(110,1),(119,1),(122,1)}
        93:{3,5,7}:{(65,1),(76,1),(111,1),(123,1)}
        94:{2,4,7}:{(66,1),(112,1),(123,1)}
        95:{2,3,5,7}:{(67,1),(113,1),(121,1),(124,1),(125,1),(134,1),(176,1)}
        96:{1,2,5,7}:{(68,1),(72,1),(114,1),(118,1),(126,1)}
        97:{3,5,7}:{(69,1),(73,1),(115,1),(127,1)}
        98:{1,4,7}:{(70,1),(116,1),(127,1)}
        99:{1,3,5,7}:{(71,1),(117,1),(121,1),(128,1),(129,1),(131,1),(176,1)}
       100:{2,3,6,7}:{(72,1),(73,1),(126,1),(130,1),(205,1)}
       101:{3,4,6,7}:{(73,1),(74,1),(127,1),(130,1),(131,1),(181,1)}
       102:{1,4,5,7}:{(74,1),(131,1),(132,1)}
       103:{1,3,6,7}:{(75,1),(76,1),(122,1),(133,1),(206,1)}
       104:{3,4,6,7}:{(76,1),(77,1),(123,1),(133,1),(134,1),(179,1)}
       105:{2,4,5,7}:{(77,1),(134,1),(135,1)}
       106:{1,3,4,6}:{(84,1),(88,1),(136,1),(138,1),(146,1)}
       107:{2,3,4,6}:{(80,1),(89,1),(137,1),(139,1),(143,1)}
       108:{1,2,3,5,6}:{(78,1),(82,1),(86,1),(90,1),(140,1),(141,1),(142,1),(145,1),(152,1),(186,1),(189,1),(195,1),(208,1),(209,1)}
       109:{1,2,4,6}:{(78,1),(79,1),(83,1),(87,1),(141,1)}
       110:{1,2,5,6}:{(80,1),(92,1),(139,1),(142,1),(208,1),(209,1)}
       111:{3,5,6}:{(81,1),(93,1),(143,1),(189,1),(195,1)}
       112:{2,4,6}:{(82,1),(94,1),(143,1),(144,1)}
       113:{2,3,5}:{(83,1),(141,1),(144,1),(189,1)}
       114:{1,2,5,6}:{(84,1),(96,1),(138,1),(145,1),(208,1),(209,1)}
       115:{3,5,6}:{(85,1),(97,1),(146,1),(189,1),(195,1)}
       116:{1,4,6}:{(86,1),(98,1),(146,1),(147,1)}
       117:{1,3,5}:{(87,1),(141,1),(147,1),(189,1)}
       118:{1,2,4,7}:{(88,1),(96,1),(138,1),(148,1),(156,1)}
       119:{1,2,4,7}:{(89,1),(92,1),(139,1),(149,1),(153,1)}
       120:{1,2,4,7}:{(90,1),(94,1),(98,1),(140,1),(150,1),(153,1),(156,1)}
       121:{1,2,5,7}:{(91,1),(95,1),(99,1),(141,1),(152,1),(159,1),(161,1)}
       122:{1,3,5,7}:{(92,1),(93,1),(103,1),(142,1),(149,1),(153,1),(161,1)}
       123:{3,4,7}:{(93,1),(94,1),(143,1),(153,1)}
       124:{2,4,5,7}:{(94,1),(95,1),(144,1),(154,1),(155,1)}
       125:{2,3,5,6}:{(95,1),(152,1),(155,1),(162,1),(195,1)}
       126:{2,3,5,7}:{(96,1),(97,1),(100,1),(145,1),(148,1),(156,1),(159,1)}
       127:{3,4,7}:{(97,1),(98,1),(146,1),(156,1)}
       128:{1,4,5,7}:{(98,1),(99,1),(147,1),(157,1),(158,1)}
       129:{1,3,5,6}:{(99,1),(152,1),(158,1),(160,1),(195,1)}
       130:{2,4,6,7}:{(100,1),(101,1),(156,1),(159,1),(197,1)}
       131:{3,5,7}:{(101,1),(102,1),(159,1),(160,1)}
       132:{1,4,5,6}:{(102,1),(158,1),(160,1)}
       133:{1,4,6,7}:{(103,1),(104,1),(153,1),(161,1),(196,1)}
       134:{3,5,7}:{(104,1),(105,1),(161,1),(162,1)}
       135:{2,4,5,6}:{(105,1),(155,1),(162,1)}
       136:{1,3,4,5}:{(106,1),(163,1),(172,1),(200,1),(203,1)}
       137:{2,3,4,5}:{(107,1),(164,1),(170,1),(199,1),(202,1)}
       138:{1,2,4,6}:{(106,1),(114,1),(118,1),(163,1),(165,1),(171,1)}
       139:{1,2,4,6}:{(107,1),(110,1),(119,1),(164,1),(166,1),(169,1)}
       140:{1,2,4,6}:{(108,1),(112,1),(116,1),(120,1),(167,1),(168,1),(169,1),(171,1)}
       141:{1,2,5}:{(109,1),(113,1),(117,1)}
       142:{1,3,5,6}:{(110,1),(111,1),(122,1),(166,1),(169,1),(183,1),(203,1),(206,1)}
       143:{3,4,6}:{(111,1),(112,1),(123,1),(169,1),(170,1)}
       144:{2,4,5}:{(112,1),(113,1),(170,1)}
       145:{2,3,5,6}:{(114,1),(115,1),(126,1),(165,1),(171,1),(182,1),(202,1),(205,1)}
       146:{3,4,6}:{(115,1),(116,1),(127,1),(171,1),(172,1)}
       147:{1,4,5}:{(116,1),(117,1),(172,1)}
       148:{2,3,7}:{(118,1),(165,1)}
       149:{1,3,7}:{(119,1),(166,1)}
       150:{3,4,7}:{(120,1),(167,1),(176,1)}
       151:{1,2,4,5,7}:{(120,1),(121,1),(124,1),(128,1),(168,1),(176,1),(177,1),(178,1),(180,1),(204,1)}
       152:{1,2,5,6}:{(121,1),(125,1),(129,1),(177,1),(182,1),(183,1)}
       153:{1,4,7}:{(122,1),(123,1),(169,1)}
       154:{3,4,5,7}:{(123,1),(124,1),(134,1),(170,1),(176,1),(178,1),(179,1)}
       155:{2,4,6}:{(124,1),(125,1),(179,1)}
       156:{2,4,7}:{(126,1),(127,1),(171,1)}
       157:{3,4,5,7}:{(127,1),(128,1),(131,1),(172,1),(176,1),(180,1),(181,1)}
       158:{1,4,6}:{(128,1),(129,1),(181,1)}
       159:{2,5,7}:{(130,1),(131,1),(182,1)}
       160:{3,5,6}:{(131,1),(132,1),(181,1),(182,1)}
       161:{1,5,7}:{(133,1),(134,1),(183,1)}
       162:{3,5,6}:{(134,1),(135,1),(179,1),(183,1)}
       163:{1,2,4,5}:{(136,1),(138,1),(184,1),(191,1),(207,1),(208,1)}
       164:{1,2,4,5}:{(137,1),(139,1),(185,1),(190,1),(207,1),(208,1)}
       165:{2,3,6}:{(138,1),(148,1),(184,1)}
       166:{1,3,6}:{(139,1),(149,1),(185,1)}
       167:{3,4,6}:{(140,1),(150,1),(189,1),(195,1)}
       168:{1,2,4,5}:{(140,1),(141,1),(144,1),(147,1),(189,1),(190,1),(191,1),(208,1)}
       169:{1,4,6}:{(142,1),(143,1),(153,1),(190,1)}
       170:{3,4,5}:{(143,1),(144,1),(189,1),(190,1)}
       171:{2,4,6}:{(145,1),(146,1),(156,1),(191,1)}
       172:{3,4,5}:{(146,1),(147,1),(189,1),(191,1)}
       173:{1,2,3,7}:{(148,1),(149,1),(186,1),(192,1)}
       174:{2,3,4,7}:{(148,1),(150,1),(156,1),(187,1),(192,1),(193,1)}
       175:{1,3,4,7}:{(149,1),(150,1),(153,1),(188,1),(192,1),(194,1)}
       176:{3,5,7}:{(150,1),(151,1),(189,1),(195,1)}
       177:{1,2,4,6}:{(151,1),(152,1),(155,1),(158,1),(195,1),(196,1),(197,1),(209,1)}
       178:{1,4,5,7}:{(153,1),(154,1),(161,1),(190,1),(194,1),(196,1)}
       179:{3,4,6}:{(154,1),(155,1),(162,1),(195,1),(196,1)}
       180:{2,4,5,7}:{(156,1),(157,1),(159,1),(191,1),(193,1),(197,1)}
       181:{3,4,6}:{(157,1),(158,1),(160,1),(195,1),(197,1)}
       182:{2,5,6}:{(159,1),(160,1),(197,1)}
       183:{1,5,6}:{(161,1),(162,1),(196,1)}
       184:{2,3,5}:{(163,1),(165,1),(199,1)}
       185:{1,3,5}:{(164,1),(166,1),(200,1)}
       186:{1,2,3,6}:{(165,1),(166,1),(173,1),(198,1),(201,1)}
       187:{2,3,4,6}:{(165,1),(167,1),(171,1),(174,1),(199,1),(201,1),(202,1),(205,1)}
       188:{1,3,4,6}:{(166,1),(167,1),(169,1),(175,1),(200,1),(201,1),(203,1),(206,1)}
       189:{3,5}:{(167,1),(168,1)}
       190:{1,4,5}:{(169,1),(170,1),(203,1)}
       191:{2,4,5}:{(171,1),(172,1),(202,1)}
       192:{1,2,4,7}:{(173,1),(174,1),(175,1),(201,1),(204,1)}
       193:{2,3,5,7}:{(174,1),(176,1),(180,1),(202,1),(204,1),(205,1)}
       194:{1,3,5,7}:{(175,1),(176,1),(178,1),(203,1),(204,1),(206,1)}
       195:{3,6}:{(176,1),(177,1)}
       196:{1,4,6}:{(178,1),(179,1),(183,1),(206,1)}
       197:{2,4,6}:{(180,1),(181,1),(182,1),(205,1)}
       198:{1,2,3,5}:{(184,1),(185,1),(186,1),(207,1),(208,1)}
       199:{2,3,4}:{(184,1),(207,1)}
       200:{1,3,4}:{(185,1),(207,1)}
       201:{1,2,4,6}:{(186,1),(187,1),(188,1),(192,1),(207,1),(208,1),(209,1)}
       202:{2,3,5}:{(187,1),(189,1),(191,1),(208,1)}
       203:{1,3,5}:{(188,1),(189,1),(190,1),(208,1)}
       204:{1,2,5,7}:{(192,1),(193,1),(194,1),(208,1),(209,1)}
       205:{2,3,6}:{(193,1),(195,1),(197,1),(209,1)}
       206:{1,3,6}:{(194,1),(195,1),(196,1),(209,1)}
       207:{1,2,4}:{(198,1),(199,1),(200,1)}
       208:{1,2,5}:{(201,1),(202,1),(203,1)}
       209:{1,2,6}:{(204,1),(205,1),(206,1)}

1909 :   0:{1,3,4,5,6}:{(2,1),(3,1),(34,1),(56,1),(84,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(19,1),(92,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(42,1),(45,1),(71,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(23,1),(69,1),(72,1)}
         4:{1,4,5,6,7}:{(1,1),(9,1),(83,1)}
         5:{2,4,5,6,7}:{(1,1),(10,1),(99,1)}
         6:{1,3,4,6,7}:{(2,1),(9,1),(12,1),(29,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(12,1),(13,1),(32,1),(54,1),(58,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1)}
         9:{1,3,5,6,7}:{(4,1),(6,1),(17,1),(19,1),(71,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(18,1),(19,1),(90,1)}
        11:{1,2,4,5,6,7}:{(4,1),(5,1),(17,1),(18,1),(19,1),(40,1),(41,1),(68,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(17,1),(20,1),(40,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(20,1),(22,1)}
        14:{1,2,3,5,6}:{(8,1),(21,1),(23,1),(48,1),(72,1),(73,1)}
        15:{2,3,4,6}:{(8,1),(22,1),(23,1),(24,1)}
        16:{2,3,4,6,7}:{(10,1),(25,1),(26,1),(29,1)}
        17:{1,2,5,6,7}:{(9,1),(12,1),(27,1),(58,1)}
        18:{1,2,5,6,7}:{(10,1),(26,1),(28,1),(79,1)}
        19:{3,5,6,7}:{(11,1),(29,1),(81,1)}
        20:{2,3,6,7}:{(12,1),(13,1)}
        21:{1,2,3,5,7}:{(13,1),(14,1),(30,1),(32,1),(58,1),(60,1)}
        22:{2,3,4,7}:{(13,1),(15,1),(32,1)}
        23:{1,2,4,6}:{(14,1),(15,1),(32,1),(34,1),(35,1)}
        24:{2,3,4,5}:{(15,1),(35,1)}
        25:{2,3,4,5,7}:{(16,1),(36,1),(37,1),(42,1),(87,1),(90,1)}
        26:{1,2,4,6,7}:{(16,1),(18,1),(37,1),(38,1),(41,1)}
        27:{2,3,5,6,7}:{(17,1),(19,1),(20,1),(40,1),(44,1)}
        28:{1,3,5,6,7}:{(18,1),(19,1),(38,1),(41,1),(66,1)}
        29:{3,4,6,7}:{(19,1),(40,1),(41,1),(42,1)}
        30:{1,2,3,6,7}:{(20,1),(21,1),(43,1),(73,1)}
        31:{2,3,4,6,7}:{(20,1),(22,1),(40,1),(43,1),(44,1),(47,1),(67,1)}
        32:{1,2,4,7}:{(21,1),(22,1),(23,1),(45,1)}
        33:{2,3,4,5,7}:{(22,1),(24,1),(44,1),(46,1),(47,1),(92,1)}
        34:{1,3,4,6}:{(23,1),(45,1),(48,1),(73,1)}
        35:{1,2,4,5}:{(23,1),(24,1),(48,1)}
        36:{2,3,4,5,6}:{(25,1),(49,1),(56,1),(95,1),(100,1)}
        37:{1,2,4,5,7}:{(25,1),(26,1),(49,1),(50,1),(55,1),(76,1),(79,1)}
        38:{1,3,6,7}:{(26,1),(50,1)}
        39:{1,2,3,5,6,7}:{(27,1),(28,1),(30,1),(51,1),(53,1),(58,1),(79,1),(81,1),(84,1),(100,1)}
        40:{2,4,6,7}:{(27,1),(29,1),(54,1)}
        41:{1,4,6,7}:{(28,1),(29,1),(55,1)}
        42:{3,4,5,7}:{(29,1),(54,1),(55,1),(56,1),(81,1)}
        43:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(57,1),(58,1),(61,1)}
        44:{2,3,5,7}:{(31,1),(54,1),(58,1),(59,1),(81,1)}
        45:{1,3,4,7}:{(32,1),(34,1),(60,1)}
        46:{1,2,4,5,7}:{(32,1),(33,1),(35,1),(58,1),(60,1),(61,1),(83,1)}
        47:{2,3,4,6}:{(33,1),(59,1),(61,1),(101,1)}
        48:{1,3,5}:{(34,1),(35,1)}
        49:{1,2,4,5,6}:{(36,1),(37,1),(62,1),(70,1),(85,1),(91,1)}
        50:{1,3,5,7}:{(37,1),(38,1),(62,1),(64,1)}
        51:{1,2,3,6,7}:{(38,1),(63,1),(65,1),(103,1)}
        52:{1,3,4,6,7}:{(38,1),(41,1),(64,1),(65,1),(66,1),(67,1),(89,1)}
        53:{1,2,4,6,7}:{(39,1),(40,1),(41,1),(67,1),(68,1),(94,1),(104,1)}
        54:{2,4,5,7}:{(40,1),(42,1),(44,1),(69,1)}
        55:{1,4,5,7}:{(41,1),(42,1),(66,1),(70,1)}
        56:{3,4,5,6}:{(42,1),(69,1),(70,1),(93,1)}
        57:{1,3,4,6,7}:{(43,1),(45,1),(67,1),(71,1),(73,1),(94,1)}
        58:{1,2,5,7}:{(43,1),(44,1),(71,1),(72,1)}
        59:{2,3,5,6}:{(44,1),(47,1),(69,1),(72,1),(93,1)}
        60:{1,3,5,7}:{(45,1),(46,1),(48,1),(73,1)}
        61:{1,2,4,6}:{(46,1),(47,1),(72,1),(73,1),(94,1)}
        62:{1,3,5,6}:{(49,1),(50,1),(75,1)}
        63:{1,2,3,5,7}:{(50,1),(51,1),(74,1),(76,1),(79,1),(97,1)}
        64:{1,3,4,7}:{(50,1),(75,1),(76,1)}
        65:{1,2,4,6,7}:{(51,1),(52,1),(76,1),(78,1),(79,1),(98,1)}
        66:{1,3,5,7}:{(52,1),(55,1),(79,1),(80,1),(81,1)}
        67:{3,4,6,7}:{(53,1),(81,1),(101,1)}
        68:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(58,1),(79,1),(81,1),(82,1),(83,1),(99,1)}
        69:{2,4,5,6}:{(54,1),(56,1),(59,1)}
        70:{1,4,5,6}:{(55,1),(56,1),(80,1)}
        71:{1,3,5,7}:{(57,1),(58,1),(81,1),(83,1),(84,1)}
        72:{1,2,5,6}:{(58,1),(59,1),(61,1),(84,1)}
        73:{1,3,6}:{(60,1),(61,1)}
        74:{1,2,3,5,6}:{(62,1),(63,1),(85,1),(91,1),(102,1),(103,1)}
        75:{1,3,4,6}:{(62,1),(64,1),(85,1),(86,1)}
        76:{1,2,4,7}:{(63,1),(64,1),(85,1),(87,1)}
        77:{1,3,4,5,7}:{(64,1),(66,1),(86,1),(88,1),(89,1),(92,1)}
        78:{2,3,4,6,7}:{(65,1),(67,1),(87,1),(90,1),(103,1),(104,1)}
        79:{1,2,5,7}:{(65,1),(66,1),(90,1),(91,1)}
        80:{1,3,5,6}:{(66,1),(70,1),(89,1),(91,1),(93,1)}
        81:{3,5,7}:{(67,1),(68,1),(93,1)}
        82:{1,2,4,5,6}:{(68,1),(69,1),(70,1),(72,1),(91,1),(93,1),(94,1),(104,1)}
        83:{1,4,5,7}:{(71,1),(92,1),(94,1)}
        84:{1,3,5,6}:{(71,1),(72,1),(73,1),(93,1),(94,1)}
        85:{1,2,4,6}:{(74,1),(75,1),(76,1),(95,1),(96,1)}
        86:{1,3,4,5}:{(75,1),(96,1)}
        87:{2,3,4,7}:{(76,1),(95,1),(97,1)}
        88:{1,2,4,5,7}:{(76,1),(77,1),(79,1),(96,1),(97,1),(98,1),(99,1)}
        89:{1,3,4,6}:{(77,1),(80,1),(98,1),(101,1)}
        90:{2,3,5,7}:{(78,1),(79,1),(81,1),(99,1),(100,1)}
        91:{1,2,5,6}:{(79,1),(80,1),(98,1),(100,1)}
        92:{3,4,5,7}:{(81,1),(83,1),(99,1),(101,1)}
        93:{3,5,6}:{(81,1),(82,1),(101,1)}
        94:{1,4,6}:{(83,1),(84,1),(101,1)}
        95:{2,3,4,6}:{(85,1),(87,1),(102,1),(103,1)}
        96:{1,2,4,5}:{(85,1),(86,1),(102,1)}
        97:{2,3,5,7}:{(87,1),(88,1),(102,1),(103,1)}
        98:{1,2,4,6}:{(88,1),(89,1),(91,1),(103,1),(104,1)}
        99:{2,4,5,7}:{(90,1),(92,1),(104,1)}
       100:{2,3,5,6}:{(90,1),(91,1),(93,1),(103,1),(104,1)}
       101:{3,4,6}:{(92,1),(93,1),(94,1),(104,1)}
       102:{2,3,5}:{(95,1),(96,1)}
       103:{2,3,6}:{(97,1),(98,1)}
       104:{2,4,6}:{(99,1),(100,1),(101,1)}

1910 :  0:{2,3,4,5,7}:{(3,1),(4,1),(18,1),(32,1),(62,1)}
        1:{1,3,4,5,7}:{(3,1),(5,1),(20,1),(32,1),(62,1)}
        2:{1,2,3,4,7}:{(6,1),(7,1),(47,1),(83,1)}
        3:{1,2,4,5,7}:{(0,1),(1,1),(7,1),(8,1),(21,1),(25,1),(47,1)}
        4:{2,3,4,6}:{(0,1),(8,1),(9,1),(46,1)}
        5:{1,3,4,6}:{(1,1),(8,1),(11,1),(46,1)}
        6:{1,2,3,4,6}:{(2,1),(13,1),(14,1),(33,1),(58,1),(80,1)}
        7:{1,2,3,5,7}:{(2,1),(3,1),(13,1),(14,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(5,1),(14,1),(15,1)}
        9:{2,3,5,6}:{(4,1),(15,1),(17,1),(18,1),(36,1)}
       10:{2,3,4,6,7}:{(4,1),(16,1),(18,1),(38,1),(62,1),(63,1)}
       11:{1,3,5,6}:{(5,1),(15,1),(19,1),(20,1),(36,1)}
       12:{1,3,4,6,7}:{(5,1),(16,1),(20,1),(41,1),(62,1),(63,1)}
       13:{1,2,3,5}:{(6,1),(21,1)}
       14:{1,2,3,6}:{(7,1),(8,1)}
       15:{1,2,5,6}:{(8,1),(9,1),(11,1),(25,1)}
       16:{1,2,4,6,7}:{(8,1),(10,1),(12,1),(23,1),(25,1),(47,1)}
       17:{2,4,5,6}:{(9,1),(27,1),(28,1)}
       18:{2,3,5,7}:{(9,1),(10,1),(25,1),(28,1),(51,1)}
       19:{1,4,5,6}:{(11,1),(30,1),(31,1)}
       20:{1,3,5,7}:{(11,1),(12,1),(25,1),(31,1),(51,1)}
       21:{1,2,4,5}:{(13,1),(32,1),(33,1)}
       22:{1,2,3,5,6}:{(13,1),(14,1),(15,1),(33,1),(34,1),(36,1),(64,1),(80,1)}
       23:{1,2,3,6,7}:{(14,1),(16,1),(34,1),(63,1),(82,1)}
       24:{1,2,4,5,6}:{(15,1),(17,1),(19,1),(33,1),(36,1),(37,1),(39,1),(42,1),(64,1)}
       25:{1,2,5,7}:{(15,1),(16,1),(18,1),(20,1)}
       26:{2,3,5,6,7}:{(18,1),(35,1),(38,1),(63,1),(67,1)}
       27:{3,4,5,6}:{(17,1),(36,1),(39,1),(40,1)}
       28:{2,4,5,7}:{(17,1),(18,1),(38,1),(40,1)}
       29:{1,3,5,6,7}:{(20,1),(35,1),(41,1),(63,1),(69,1)}
       30:{3,4,5,6}:{(19,1),(36,1),(42,1),(43,1)}
       31:{1,4,5,7}:{(19,1),(20,1),(41,1),(43,1)}
       32:{3,4,5}:{(21,1),(46,1)}
       33:{1,2,4,6}:{(21,1),(22,1),(46,1),(47,1)}
       34:{1,2,3,5,7}:{(22,1),(23,1),(25,1),(47,1),(51,1),(77,1),(83,1)}
       35:{1,2,5,6,7}:{(25,1),(26,1),(29,1),(48,1),(78,1),(79,1)}
       36:{3,5,6}:{(24,1),(46,1),(51,1)}
       37:{1,2,4,5,7}:{(24,1),(25,1),(28,1),(31,1),(47,1),(48,1),(51,1),(54,1),(57,1),(77,1)}
       38:{2,4,6,7}:{(26,1),(28,1),(53,1)}
       39:{1,4,5,6}:{(27,1),(50,1),(54,1)}
       40:{3,4,5,7}:{(27,1),(28,1),(51,1),(53,1),(54,1)}
       41:{1,4,6,7}:{(29,1),(31,1),(56,1)}
       42:{2,4,5,6}:{(30,1),(49,1),(57,1)}
       43:{3,4,5,7}:{(30,1),(31,1),(51,1),(56,1),(57,1)}
       44:{2,3,4,5}:{(32,1),(59,1),(60,1)}
       45:{1,3,4,5}:{(32,1),(59,1),(61,1)}
       46:{3,4,6}:{(32,1),(33,1),(36,1),(62,1)}
       47:{1,2,4,7}:{(33,1),(34,1),(62,1)}
       48:{1,2,4,6,7}:{(35,1),(37,1),(38,1),(41,1),(63,1),(68,1),(70,1),(82,1)}
       49:{2,3,5,6}:{(36,1),(42,1),(60,1),(64,1),(65,1)}
       50:{1,3,5,6}:{(36,1),(39,1),(61,1),(64,1),(66,1)}
       51:{3,5,7}:{(36,1),(37,1),(62,1),(63,1)}
       52:{2,4,5,6,7}:{(38,1),(67,1)}
       53:{3,4,6,7}:{(38,1),(40,1),(63,1),(67,1),(68,1)}
       54:{1,4,5,7}:{(39,1),(40,1),(66,1),(68,1)}
       55:{1,4,5,6,7}:{(41,1),(69,1)}
       56:{3,4,6,7}:{(41,1),(43,1),(63,1),(69,1),(70,1)}
       57:{2,4,5,7}:{(42,1),(43,1),(65,1),(70,1)}
       58:{1,2,3,4}:{(71,1)}
       59:{1,2,4,5}:{(44,1),(45,1),(71,1),(72,1)}
       60:{2,3,4,6}:{(44,1),(46,1),(49,1),(72,1),(73,1)}
       61:{1,3,4,6}:{(45,1),(46,1),(50,1),(72,1),(74,1)}
       62:{3,4,7}:{(46,1),(47,1),(51,1)}
       63:{3,6,7}:{(48,1),(51,1)}
       64:{1,2,5,6}:{(49,1),(50,1),(72,1),(77,1)}
       65:{2,3,5,7}:{(49,1),(51,1),(57,1),(73,1),(75,1),(77,1)}
       66:{1,3,5,7}:{(50,1),(51,1),(54,1),(74,1),(76,1),(77,1)}
       67:{3,5,6,7}:{(52,1),(53,1),(78,1)}
       68:{1,4,6,7}:{(53,1),(54,1),(76,1),(78,1)}
       69:{3,5,6,7}:{(55,1),(56,1),(79,1)}
       70:{2,4,6,7}:{(56,1),(57,1),(75,1),(79,1)}
       71:{1,2,3,5}:{(58,1),(59,1),(80,1)}
       72:{1,2,4,6}:{(59,1),(60,1),(61,1),(64,1),(80,1),(81,1)}
       73:{2,3,4,7}:{(60,1),(62,1),(65,1),(81,1)}
       74:{1,3,4,7}:{(61,1),(62,1),(66,1),(81,1)}
       75:{2,3,6,7}:{(63,1),(65,1),(70,1),(82,1)}
       76:{1,3,6,7}:{(63,1),(66,1),(68,1),(82,1)}
       77:{1,2,5,7}:{(64,1),(65,1),(66,1),(81,1),(82,1)}
       78:{1,5,6,7}:{(67,1),(68,1)}
       79:{2,5,6,7}:{(69,1),(70,1)}
       80:{1,2,3,6}:{(71,1),(72,1),(83,1)}
       81:{1,2,4,7}:{(72,1),(73,1),(74,1),(77,1),(83,1)}
       82:{1,2,6,7}:{(75,1),(76,1),(77,1)}
       83:{1,2,3,7}:{(80,1),(81,1)}

1911 :   0:{2,3,4,5,6}:{(2,1),(3,1),(34,1),(56,1),(84,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(19,1),(92,1)}
         2:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(42,1),(45,1),(71,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(23,1),(70,1),(72,1)}
         4:{1,4,5,6,7}:{(1,1),(9,1),(99,1)}
         5:{2,4,5,6,7}:{(1,1),(10,1),(83,1)}
         6:{2,3,4,6,7}:{(2,1),(10,1),(12,1),(29,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(12,1),(13,1),(32,1),(55,1),(58,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(15,1)}
         9:{1,3,5,6,7}:{(4,1),(16,1),(17,1),(19,1),(90,1)}
        10:{2,3,5,6,7}:{(5,1),(6,1),(18,1),(19,1),(71,1)}
        11:{1,2,4,5,6,7}:{(4,1),(5,1),(17,1),(18,1),(19,1),(40,1),(41,1),(68,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(18,1),(20,1),(41,1)}
        13:{1,3,5,7}:{(7,1),(8,1),(20,1),(22,1)}
        14:{1,2,3,5,6}:{(8,1),(21,1),(23,1),(48,1),(72,1),(73,1)}
        15:{1,3,4,6}:{(8,1),(22,1),(23,1),(24,1)}
        16:{1,3,4,6,7}:{(9,1),(25,1),(26,1),(29,1)}
        17:{1,2,5,6,7}:{(9,1),(26,1),(27,1),(79,1)}
        18:{1,2,5,6,7}:{(10,1),(12,1),(28,1),(58,1)}
        19:{3,5,6,7}:{(11,1),(29,1),(81,1)}
        20:{1,3,6,7}:{(12,1),(13,1)}
        21:{1,2,3,5,7}:{(13,1),(14,1),(30,1),(32,1),(58,1),(60,1)}
        22:{1,3,4,7}:{(13,1),(15,1),(32,1)}
        23:{1,2,4,6}:{(14,1),(15,1),(32,1),(34,1),(35,1)}
        24:{1,3,4,5}:{(15,1),(35,1)}
        25:{1,3,4,5,7}:{(16,1),(36,1),(37,1),(42,1),(87,1),(90,1)}
        26:{1,2,4,6,7}:{(16,1),(17,1),(37,1),(38,1),(40,1)}
        27:{2,3,5,6,7}:{(17,1),(19,1),(38,1),(40,1),(66,1)}
        28:{1,3,5,6,7}:{(18,1),(19,1),(20,1),(41,1),(44,1)}
        29:{3,4,6,7}:{(19,1),(40,1),(41,1),(42,1)}
        30:{1,2,3,6,7}:{(20,1),(21,1),(43,1),(73,1)}
        31:{1,3,4,6,7}:{(20,1),(22,1),(41,1),(43,1),(44,1),(47,1),(67,1)}
        32:{1,2,4,7}:{(21,1),(22,1),(23,1),(45,1)}
        33:{1,3,4,5,7}:{(22,1),(24,1),(44,1),(46,1),(47,1),(92,1)}
        34:{2,3,4,6}:{(23,1),(45,1),(48,1),(73,1)}
        35:{1,2,4,5}:{(23,1),(24,1),(48,1)}
        36:{1,3,4,5,6}:{(25,1),(49,1),(56,1),(95,1),(100,1)}
        37:{1,2,4,5,7}:{(25,1),(26,1),(49,1),(50,1),(54,1),(76,1),(79,1)}
        38:{2,3,6,7}:{(26,1),(50,1)}
        39:{1,2,3,5,6,7}:{(27,1),(28,1),(30,1),(51,1),(53,1),(58,1),(79,1),(81,1),(84,1),(100,1)}
        40:{2,4,6,7}:{(27,1),(29,1),(54,1)}
        41:{1,4,6,7}:{(28,1),(29,1),(55,1)}
        42:{3,4,5,7}:{(29,1),(54,1),(55,1),(56,1),(81,1)}
        43:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(57,1),(58,1),(61,1)}
        44:{1,3,5,7}:{(31,1),(55,1),(58,1),(59,1),(81,1)}
        45:{2,3,4,7}:{(32,1),(34,1),(60,1)}
        46:{1,2,4,5,7}:{(32,1),(33,1),(35,1),(58,1),(60,1),(61,1),(83,1)}
        47:{1,3,4,6}:{(33,1),(59,1),(61,1),(101,1)}
        48:{2,3,5}:{(34,1),(35,1)}
        49:{1,2,4,5,6}:{(36,1),(37,1),(62,1),(69,1),(85,1),(91,1)}
        50:{2,3,5,7}:{(37,1),(38,1),(62,1),(64,1)}
        51:{1,2,3,6,7}:{(38,1),(63,1),(65,1),(103,1)}
        52:{2,3,4,6,7}:{(38,1),(40,1),(64,1),(65,1),(66,1),(67,1),(89,1)}
        53:{1,2,4,6,7}:{(39,1),(40,1),(41,1),(67,1),(68,1),(94,1),(104,1)}
        54:{2,4,5,7}:{(40,1),(42,1),(66,1),(69,1)}
        55:{1,4,5,7}:{(41,1),(42,1),(44,1),(70,1)}
        56:{3,4,5,6}:{(42,1),(69,1),(70,1),(93,1)}
        57:{2,3,4,6,7}:{(43,1),(45,1),(67,1),(71,1),(73,1),(94,1)}
        58:{1,2,5,7}:{(43,1),(44,1),(71,1),(72,1)}
        59:{1,3,5,6}:{(44,1),(47,1),(70,1),(72,1),(93,1)}
        60:{2,3,5,7}:{(45,1),(46,1),(48,1),(73,1)}
        61:{1,2,4,6}:{(46,1),(47,1),(72,1),(73,1),(94,1)}
        62:{2,3,5,6}:{(49,1),(50,1),(75,1)}
        63:{1,2,3,5,7}:{(50,1),(51,1),(74,1),(76,1),(79,1),(97,1)}
        64:{2,3,4,7}:{(50,1),(75,1),(76,1)}
        65:{1,2,4,6,7}:{(51,1),(52,1),(76,1),(78,1),(79,1),(98,1)}
        66:{2,3,5,7}:{(52,1),(54,1),(79,1),(80,1),(81,1)}
        67:{3,4,6,7}:{(53,1),(81,1),(101,1)}
        68:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(58,1),(79,1),(81,1),(82,1),(83,1),(99,1)}
        69:{2,4,5,6}:{(54,1),(56,1),(80,1)}
        70:{1,4,5,6}:{(55,1),(56,1),(59,1)}
        71:{2,3,5,7}:{(57,1),(58,1),(81,1),(83,1),(84,1)}
        72:{1,2,5,6}:{(58,1),(59,1),(61,1),(84,1)}
        73:{2,3,6}:{(60,1),(61,1)}
        74:{1,2,3,5,6}:{(62,1),(63,1),(85,1),(91,1),(102,1),(103,1)}
        75:{2,3,4,6}:{(62,1),(64,1),(85,1),(86,1)}
        76:{1,2,4,7}:{(63,1),(64,1),(85,1),(87,1)}
        77:{2,3,4,5,7}:{(64,1),(66,1),(86,1),(88,1),(89,1),(92,1)}
        78:{1,3,4,6,7}:{(65,1),(67,1),(87,1),(90,1),(103,1),(104,1)}
        79:{1,2,5,7}:{(65,1),(66,1),(90,1),(91,1)}
        80:{2,3,5,6}:{(66,1),(69,1),(89,1),(91,1),(93,1)}
        81:{3,5,7}:{(67,1),(68,1),(93,1)}
        82:{1,2,4,5,6}:{(68,1),(69,1),(70,1),(72,1),(91,1),(93,1),(94,1),(104,1)}
        83:{2,4,5,7}:{(71,1),(92,1),(94,1)}
        84:{2,3,5,6}:{(71,1),(72,1),(73,1),(93,1),(94,1)}
        85:{1,2,4,6}:{(74,1),(75,1),(76,1),(95,1),(96,1)}
        86:{2,3,4,5}:{(75,1),(96,1)}
        87:{1,3,4,7}:{(76,1),(95,1),(97,1)}
        88:{1,2,4,5,7}:{(76,1),(77,1),(79,1),(96,1),(97,1),(98,1),(99,1)}
        89:{2,3,4,6}:{(77,1),(80,1),(98,1),(101,1)}
        90:{1,3,5,7}:{(78,1),(79,1),(81,1),(99,1),(100,1)}
        91:{1,2,5,6}:{(79,1),(80,1),(98,1),(100,1)}
        92:{3,4,5,7}:{(81,1),(83,1),(99,1),(101,1)}
        93:{3,5,6}:{(81,1),(82,1),(101,1)}
        94:{2,4,6}:{(83,1),(84,1),(101,1)}
        95:{1,3,4,6}:{(85,1),(87,1),(102,1),(103,1)}
        96:{1,2,4,5}:{(85,1),(86,1),(102,1)}
        97:{1,3,5,7}:{(87,1),(88,1),(102,1),(103,1)}
        98:{1,2,4,6}:{(88,1),(89,1),(91,1),(103,1),(104,1)}
        99:{1,4,5,7}:{(90,1),(92,1),(104,1)}
       100:{1,3,5,6}:{(90,1),(91,1),(93,1),(103,1),(104,1)}
       101:{3,4,6}:{(92,1),(93,1),(94,1),(104,1)}
       102:{1,3,5}:{(95,1),(96,1)}
       103:{1,3,6}:{(97,1),(98,1)}
       104:{1,4,6}:{(99,1),(100,1),(101,1)}

1912 :   0:{3,4,5,6,7}:{(1,1),(2,1),(16,1),(94,1)}
         1:{1,4,5,6,7}:{(0,1),(5,1),(98,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(100,1)}
         3:{1,3,4,5,6}:{(8,1),(10,1),(53,1),(58,1),(99,1)}
         4:{2,3,4,5,6}:{(9,1),(11,1),(53,1),(60,1),(101,1)}
         5:{1,3,5,6,7}:{(1,1),(12,1),(14,1),(16,1),(90,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(15,1),(16,1),(92,1)}
         7:{1,2,4,5,6,7}:{(1,1),(2,1),(14,1),(15,1),(16,1),(35,1),(36,1),(67,1)}
         8:{1,3,4,5,7}:{(3,1),(12,1),(17,1),(37,1),(70,1),(90,1)}
         9:{2,3,4,5,7}:{(4,1),(13,1),(18,1),(37,1),(73,1),(92,1)}
        10:{1,2,4,5,6}:{(3,1),(17,1),(19,1),(42,1),(68,1),(91,1)}
        11:{1,2,4,5,6}:{(4,1),(18,1),(20,1),(44,1),(69,1),(93,1)}
        12:{1,3,4,6,7}:{(5,1),(8,1),(21,1),(25,1)}
        13:{2,3,4,6,7}:{(6,1),(9,1),(22,1),(25,1)}
        14:{1,2,5,6,7}:{(5,1),(21,1),(23,1),(79,1)}
        15:{1,2,5,6,7}:{(6,1),(22,1),(24,1),(82,1)}
        16:{3,5,6,7}:{(7,1),(25,1),(84,1)}
        17:{1,2,4,5,7}:{(8,1),(10,1),(21,1),(26,1),(51,1),(54,1),(79,1)}
        18:{1,2,4,5,7}:{(9,1),(11,1),(22,1),(27,1),(52,1),(56,1),(82,1)}
        19:{2,3,5,6}:{(10,1),(26,1),(29,1)}
        20:{1,3,5,6}:{(11,1),(27,1),(31,1)}
        21:{1,2,4,6,7}:{(12,1),(14,1),(17,1),(32,1),(35,1)}
        22:{1,2,4,6,7}:{(13,1),(15,1),(18,1),(33,1),(36,1)}
        23:{2,3,5,6,7}:{(14,1),(16,1),(32,1),(35,1),(63,1)}
        24:{1,3,5,6,7}:{(15,1),(16,1),(33,1),(36,1),(65,1)}
        25:{3,4,6,7}:{(16,1),(35,1),(36,1),(37,1)}
        26:{2,3,5,7}:{(17,1),(19,1),(32,1),(39,1)}
        27:{1,3,5,7}:{(18,1),(20,1),(33,1),(41,1)}
        28:{1,2,3,5,6}:{(19,1),(38,1),(42,1),(76,1),(91,1),(96,1)}
        29:{2,3,4,6}:{(19,1),(39,1),(42,1),(43,1)}
        30:{1,2,3,5,6}:{(20,1),(40,1),(44,1),(77,1),(93,1),(97,1)}
        31:{1,3,4,6}:{(20,1),(41,1),(44,1),(45,1)}
        32:{2,3,6,7}:{(21,1),(26,1)}
        33:{1,3,6,7}:{(22,1),(27,1)}
        34:{1,2,3,5,6,7}:{(23,1),(24,1),(46,1),(48,1),(50,1),(79,1),(82,1),(84,1),(99,1),(101,1)}
        35:{2,4,6,7}:{(23,1),(25,1),(51,1)}
        36:{1,4,6,7}:{(24,1),(25,1),(52,1)}
        37:{3,4,5,7}:{(25,1),(51,1),(52,1),(53,1),(84,1)}
        38:{1,2,3,5,7}:{(26,1),(28,1),(46,1),(54,1),(79,1),(86,1)}
        39:{2,3,4,7}:{(26,1),(29,1),(54,1)}
        40:{1,2,3,5,7}:{(27,1),(30,1),(48,1),(56,1),(82,1),(88,1)}
        41:{1,3,4,7}:{(27,1),(31,1),(56,1)}
        42:{1,2,4,6}:{(28,1),(29,1),(54,1),(58,1),(59,1)}
        43:{2,3,4,5}:{(29,1),(59,1)}
        44:{1,2,4,6}:{(30,1),(31,1),(56,1),(60,1),(61,1)}
        45:{1,3,4,5}:{(31,1),(61,1)}
        46:{1,2,3,6,7}:{(32,1),(38,1),(62,1),(96,1)}
        47:{2,3,4,6,7}:{(32,1),(35,1),(39,1),(62,1),(63,1),(66,1),(72,1)}
        48:{1,2,3,6,7}:{(33,1),(40,1),(64,1),(97,1)}
        49:{1,3,4,6,7}:{(33,1),(36,1),(41,1),(64,1),(65,1),(66,1),(75,1)}
        50:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(66,1),(67,1),(103,1),(104,1)}
        51:{2,4,5,7}:{(35,1),(37,1),(63,1),(68,1)}
        52:{1,4,5,7}:{(36,1),(37,1),(65,1),(69,1)}
        53:{3,4,5,6}:{(37,1),(68,1),(69,1),(95,1)}
        54:{1,2,4,7}:{(38,1),(39,1),(42,1),(70,1)}
        55:{2,3,4,5,7}:{(39,1),(43,1),(63,1),(71,1),(72,1),(94,1)}
        56:{1,2,4,7}:{(40,1),(41,1),(44,1),(73,1)}
        57:{1,3,4,5,7}:{(41,1),(45,1),(65,1),(74,1),(75,1),(94,1)}
        58:{1,3,4,6}:{(42,1),(70,1),(76,1),(96,1)}
        59:{1,2,4,5}:{(42,1),(43,1),(76,1)}
        60:{2,3,4,6}:{(44,1),(73,1),(77,1),(97,1)}
        61:{1,2,4,5}:{(44,1),(45,1),(77,1)}
        62:{1,2,4,6,7}:{(46,1),(47,1),(54,1),(78,1),(79,1),(87,1)}
        63:{2,3,5,7}:{(47,1),(51,1),(79,1),(80,1),(84,1)}
        64:{1,2,4,6,7}:{(48,1),(49,1),(56,1),(81,1),(82,1),(89,1)}
        65:{1,3,5,7}:{(49,1),(52,1),(82,1),(83,1),(84,1)}
        66:{3,4,6,7}:{(50,1),(84,1),(102,1)}
        67:{1,2,4,5,7}:{(50,1),(51,1),(52,1),(79,1),(82,1),(84,1),(85,1),(98,1),(100,1)}
        68:{2,4,5,6}:{(51,1),(53,1),(80,1)}
        69:{1,4,5,6}:{(52,1),(53,1),(83,1)}
        70:{1,3,4,7}:{(54,1),(58,1),(86,1)}
        71:{1,2,4,5,7}:{(54,1),(55,1),(59,1),(79,1),(86,1),(87,1),(98,1)}
        72:{2,3,4,6}:{(55,1),(80,1),(87,1),(102,1)}
        73:{2,3,4,7}:{(56,1),(60,1),(88,1)}
        74:{1,2,4,5,7}:{(56,1),(57,1),(61,1),(82,1),(88,1),(89,1),(100,1)}
        75:{1,3,4,6}:{(57,1),(83,1),(89,1),(102,1)}
        76:{1,3,5}:{(58,1),(59,1)}
        77:{2,3,5}:{(60,1),(61,1)}
        78:{1,3,4,6,7}:{(62,1),(66,1),(70,1),(90,1),(96,1),(103,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(90,1),(91,1)}
        80:{2,3,5,6}:{(63,1),(68,1),(72,1),(91,1),(95,1)}
        81:{2,3,4,6,7}:{(64,1),(66,1),(73,1),(92,1),(97,1),(104,1)}
        82:{1,2,5,7}:{(64,1),(65,1),(92,1),(93,1)}
        83:{1,3,5,6}:{(65,1),(69,1),(75,1),(93,1),(95,1)}
        84:{3,5,7}:{(66,1),(67,1),(95,1)}
        85:{1,2,4,5,6}:{(67,1),(68,1),(69,1),(91,1),(93,1),(95,1),(103,1),(104,1)}
        86:{1,3,5,7}:{(70,1),(71,1),(76,1),(96,1)}
        87:{1,2,4,6}:{(71,1),(72,1),(91,1),(96,1),(103,1)}
        88:{2,3,5,7}:{(73,1),(74,1),(77,1),(97,1)}
        89:{1,2,4,6}:{(74,1),(75,1),(93,1),(97,1),(104,1)}
        90:{1,3,5,7}:{(78,1),(79,1),(84,1),(98,1),(99,1)}
        91:{1,2,5,6}:{(79,1),(80,1),(87,1),(99,1)}
        92:{2,3,5,7}:{(81,1),(82,1),(84,1),(100,1),(101,1)}
        93:{1,2,5,6}:{(82,1),(83,1),(89,1),(101,1)}
        94:{3,4,5,7}:{(84,1),(98,1),(100,1),(102,1)}
        95:{3,5,6}:{(84,1),(85,1),(102,1)}
        96:{1,3,6}:{(86,1),(87,1)}
        97:{2,3,6}:{(88,1),(89,1)}
        98:{1,4,5,7}:{(90,1),(94,1),(103,1)}
        99:{1,3,5,6}:{(90,1),(91,1),(95,1),(96,1),(103,1)}
       100:{2,4,5,7}:{(92,1),(94,1),(104,1)}
       101:{2,3,5,6}:{(92,1),(93,1),(95,1),(97,1),(104,1)}
       102:{3,4,6}:{(94,1),(95,1),(103,1),(104,1)}
       103:{1,4,6}:{(98,1),(99,1),(102,1)}
       104:{2,4,6}:{(100,1),(101,1),(102,1)}

1913 :   0:{1,3,4,6,7}:{(4,1),(5,1),(19,1),(22,1),(50,1),(53,1),(56,1),(76,1),(80,1),(96,1)}
         1:{2,3,4,6,7}:{(4,1),(6,1),(20,1),(23,1),(51,1),(53,1),(56,1),(77,1),(81,1),(96,1)}
         2:{1,3,5,6,7}:{(7,1),(8,1),(10,1),(31,1),(33,1),(63,1)}
         3:{2,3,5,6,7}:{(7,1),(9,1),(11,1),(32,1),(33,1),(64,1)}
         4:{1,2,4,6,7}:{(0,1),(1,1),(12,1),(13,1),(34,1),(35,1),(37,1),(40,1),(65,1),(88,1),(91,1)}
         5:{1,3,5,7}:{(0,1),(10,1),(13,1),(14,1),(31,1),(41,1),(89,1)}
         6:{2,3,5,7}:{(1,1),(11,1),(13,1),(15,1),(32,1),(41,1),(90,1)}
         7:{1,2,5,6,7}:{(2,1),(3,1),(18,1),(21,1),(48,1),(49,1),(78,1)}
         8:{1,4,6,7}:{(2,1),(16,1),(19,1),(22,1),(76,1)}
         9:{2,4,6,7}:{(3,1),(17,1),(20,1),(23,1),(77,1)}
        10:{1,3,5,6}:{(5,1),(21,1),(22,1),(45,1),(53,1)}
        11:{2,3,5,6}:{(6,1),(21,1),(23,1),(46,1),(53,1)}
        12:{1,2,3,6,7}:{(4,1),(24,1),(50,1),(51,1),(53,1),(82,1),(96,1),(98,1)}
        13:{1,2,5,7}:{(4,1),(5,1),(6,1),(21,1),(48,1),(49,1),(97,1)}
        14:{1,4,5,7}:{(5,1),(22,1),(26,1),(76,1),(93,1)}
        15:{2,4,5,7}:{(6,1),(23,1),(27,1),(77,1),(94,1)}
        16:{1,4,5,7}:{(8,1),(28,1),(31,1)}
        17:{2,4,5,7}:{(9,1),(29,1),(32,1)}
        18:{1,2,4,6,7}:{(7,1),(8,1),(9,1),(30,1),(33,1),(34,1),(35,1),(37,1),(65,1),(88,1)}
        19:{3,4,6,7}:{(8,1),(31,1),(33,1),(34,1),(38,1),(62,1)}
        20:{3,4,6,7}:{(9,1),(32,1),(33,1),(35,1),(39,1),(62,1)}
        21:{1,2,5,6}:{(10,1),(11,1),(13,1),(37,1),(60,1),(61,1)}
        22:{1,4,6}:{(10,1),(14,1),(38,1)}
        23:{2,4,6}:{(11,1),(15,1),(39,1)}
        24:{1,2,3,5,7}:{(12,1),(13,1),(36,1),(40,1),(41,1),(63,1),(64,1),(72,1),(92,1),(101,1)}
        25:{1,2,4,5,7}:{(13,1),(14,1),(15,1),(37,1),(40,1),(41,1),(42,1),(43,1),(66,1),(72,1),(88,1),(99,1)}
        26:{3,4,5,7}:{(14,1),(31,1),(38,1),(41,1),(42,1),(62,1),(84,1)}
        27:{3,4,5,7}:{(15,1),(32,1),(39,1),(41,1),(43,1),(62,1),(84,1)}
        28:{1,4,5,6}:{(16,1),(22,1),(45,1)}
        29:{2,4,5,6}:{(17,1),(23,1),(46,1)}
        30:{1,2,4,5,7}:{(16,1),(17,1),(18,1),(44,1),(47,1),(48,1),(49,1),(76,1),(77,1),(78,1)}
        31:{3,5,7}:{(16,1),(19,1),(45,1),(48,1)}
        32:{3,5,7}:{(17,1),(20,1),(46,1),(49,1)}
        33:{3,6,7}:{(18,1),(47,1),(53,1),(96,1)}
        34:{2,4,6,7}:{(19,1),(48,1),(51,1),(54,1),(77,1)}
        35:{1,4,6,7}:{(20,1),(49,1),(50,1),(55,1),(76,1)}
        36:{1,2,3,5,6}:{(21,1),(24,1),(52,1),(53,1),(74,1),(75,1),(79,1),(82,1),(97,1),(98,1)}
        37:{1,2,4,6}:{(21,1),(22,1),(23,1),(25,1),(53,1),(54,1),(55,1),(82,1)}
        38:{3,4,6}:{(22,1),(26,1),(45,1),(53,1),(54,1)}
        39:{3,4,6}:{(23,1),(27,1),(46,1),(53,1),(55,1)}
        40:{1,2,4,7}:{(24,1),(52,1),(56,1),(76,1),(77,1),(103,1)}
        41:{3,5,7}:{(25,1),(53,1),(56,1),(79,1),(96,1),(102,1)}
        42:{2,4,5,7}:{(26,1),(48,1),(54,1),(58,1),(77,1),(94,1)}
        43:{1,4,5,7}:{(27,1),(49,1),(55,1),(57,1),(76,1),(93,1)}
        44:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(37,1),(59,1),(60,1),(61,1),(66,1),(85,1),(86,1),(87,1)}
        45:{3,5,6}:{(28,1),(31,1),(38,1),(60,1)}
        46:{3,5,6}:{(29,1),(32,1),(39,1),(61,1)}
        47:{3,5,7}:{(30,1),(33,1),(59,1),(62,1)}
        48:{2,5,7}:{(31,1),(34,1),(60,1)}
        49:{1,5,7}:{(32,1),(35,1),(61,1)}
        50:{1,3,6,7}:{(33,1),(35,1),(63,1),(65,1),(68,1)}
        51:{2,3,6,7}:{(33,1),(34,1),(64,1),(65,1),(69,1)}
        52:{1,2,4,6}:{(36,1),(40,1),(66,1),(67,1),(85,1),(86,1)}
        53:{3,6}:{(37,1),(41,1)}
        54:{2,4,6}:{(38,1),(42,1),(60,1),(69,1)}
        55:{1,4,6}:{(39,1),(43,1),(61,1),(68,1)}
        56:{3,4,7}:{(40,1),(41,1),(67,1),(104,1)}
        57:{1,3,5,7}:{(41,1),(43,1),(68,1),(70,1),(72,1),(89,1)}
        58:{2,3,5,7}:{(41,1),(42,1),(69,1),(71,1),(72,1),(90,1)}
        59:{3,5,6}:{(44,1),(47,1),(53,1),(73,1),(79,1)}
        60:{2,5,6}:{(45,1),(48,1),(54,1)}
        61:{1,5,6}:{(46,1),(49,1),(55,1)}
        62:{3,4,7}:{(47,1),(73,1),(76,1),(77,1),(96,1)}
        63:{1,3,5,7}:{(47,1),(49,1),(50,1),(74,1),(76,1),(78,1),(96,1)}
        64:{2,3,5,7}:{(47,1),(48,1),(51,1),(75,1),(77,1),(78,1),(96,1)}
        65:{1,2,6,7}:{(50,1),(51,1),(78,1),(82,1)}
        66:{1,2,4,5}:{(52,1),(79,1),(93,1),(94,1),(97,1)}
        67:{3,4,6}:{(52,1),(53,1),(56,1),(79,1)}
        68:{1,3,6}:{(53,1),(55,1),(57,1),(82,1)}
        69:{2,3,6}:{(53,1),(54,1),(58,1),(82,1)}
        70:{1,3,4,7}:{(56,1),(57,1),(76,1),(80,1),(83,1),(96,1)}
        71:{2,3,4,7}:{(56,1),(58,1),(77,1),(81,1),(83,1),(96,1)}
        72:{1,2,5,7}:{(57,1),(58,1),(82,1),(83,1),(97,1)}
        73:{3,4,6}:{(59,1),(62,1),(84,1),(85,1),(86,1),(100,1)}
        74:{1,3,5,6}:{(59,1),(61,1),(63,1),(68,1),(85,1),(87,1),(89,1),(100,1)}
        75:{2,3,5,6}:{(59,1),(60,1),(64,1),(69,1),(86,1),(87,1),(90,1),(100,1)}
        76:{1,4,7}:{(62,1),(63,1),(85,1)}
        77:{2,4,7}:{(62,1),(64,1),(86,1)}
        78:{1,2,5,7}:{(63,1),(64,1),(65,1),(87,1),(88,1)}
        79:{3,5}:{(66,1),(67,1)}
        80:{1,3,4,6}:{(67,1),(68,1),(70,1),(85,1),(89,1),(91,1),(100,1),(104,1)}
        81:{2,3,4,6}:{(67,1),(69,1),(71,1),(86,1),(90,1),(91,1),(100,1),(104,1)}
        82:{1,2,6}:{(68,1),(69,1),(72,1)}
        83:{1,2,4,7}:{(70,1),(71,1),(72,1),(91,1),(92,1)}
        84:{3,4,5}:{(73,1),(79,1),(93,1),(94,1),(102,1)}
        85:{1,4,6}:{(73,1),(74,1),(76,1),(93,1)}
        86:{2,4,6}:{(73,1),(75,1),(77,1),(94,1)}
        87:{1,2,5,6}:{(74,1),(75,1),(78,1),(82,1),(95,1),(97,1)}
        88:{1,2,4,7}:{(76,1),(77,1),(78,1),(95,1),(96,1)}
        89:{1,3,5}:{(79,1),(80,1),(93,1),(97,1),(102,1)}
        90:{2,3,5}:{(79,1),(81,1),(94,1),(97,1),(102,1)}
        91:{1,2,4,6}:{(80,1),(81,1),(82,1),(83,1),(97,1),(98,1),(103,1)}
        92:{1,2,3,7}:{(83,1),(96,1),(98,1)}
        93:{1,4,5}:{(84,1),(85,1),(89,1)}
        94:{2,4,5}:{(84,1),(86,1),(90,1)}
        95:{1,2,4,6}:{(85,1),(86,1),(87,1),(88,1),(99,1),(100,1)}
        96:{3,7}:{(88,1),(100,1)}
        97:{1,2,5}:{(89,1),(90,1),(91,1)}
        98:{1,2,3,6}:{(91,1),(92,1),(100,1),(101,1)}
        99:{1,2,4,5}:{(93,1),(94,1),(95,1),(97,1),(102,1),(103,1)}
       100:{3,6}:{(95,1),(96,1),(102,1)}
       101:{1,2,3,5}:{(97,1),(98,1),(102,1),(103,1)}
       102:{3,5}:{(99,1),(100,1),(104,1)}
       103:{1,2,4}:{(101,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1914 :  0:{2,3,4,5,7}:{(3,1),(4,1),(17,1),(37,1),(63,1)}
        1:{1,3,4,5,7}:{(3,1),(5,1),(19,1),(37,1),(63,1)}
        2:{1,2,3,4,7}:{(6,1),(7,1),(49,1),(83,1)}
        3:{1,2,4,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(26,1),(49,1)}
        4:{2,3,4,6}:{(0,1),(8,1),(10,1),(50,1)}
        5:{1,3,4,6}:{(1,1),(8,1),(12,1),(50,1)}
        6:{1,2,3,5,7}:{(2,1),(3,1),(13,1),(14,1)}
        7:{1,2,3,4,6}:{(2,1),(13,1),(14,1),(36,1),(81,1),(82,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(5,1),(13,1),(16,1)}
        9:{2,3,4,6,7}:{(4,1),(15,1),(17,1),(33,1),(60,1),(63,1)}
       10:{2,3,5,6}:{(4,1),(16,1),(17,1),(18,1),(39,1)}
       11:{1,3,4,6,7}:{(5,1),(15,1),(19,1),(34,1),(60,1),(63,1)}
       12:{1,3,5,6}:{(5,1),(16,1),(19,1),(20,1),(39,1)}
       13:{1,2,3,6}:{(6,1),(8,1)}
       14:{1,2,3,5}:{(7,1),(25,1)}
       15:{1,2,4,6,7}:{(8,1),(9,1),(11,1),(23,1),(26,1),(49,1)}
       16:{1,2,5,6}:{(8,1),(10,1),(12,1),(26,1)}
       17:{2,3,5,7}:{(9,1),(10,1),(26,1),(28,1),(53,1)}
       18:{2,4,5,6}:{(10,1),(28,1),(29,1)}
       19:{1,3,5,7}:{(11,1),(12,1),(26,1),(30,1),(53,1)}
       20:{1,4,5,6}:{(12,1),(30,1),(31,1)}
       21:{2,3,5,6,7}:{(17,1),(32,1),(33,1),(58,1),(60,1)}
       22:{1,3,5,6,7}:{(19,1),(32,1),(34,1),(59,1),(60,1)}
       23:{1,2,3,6,7}:{(13,1),(15,1),(35,1),(60,1),(79,1)}
       24:{1,2,3,5,6}:{(13,1),(14,1),(16,1),(35,1),(36,1),(39,1),(69,1),(81,1)}
       25:{1,2,4,5}:{(14,1),(36,1),(37,1)}
       26:{1,2,5,7}:{(15,1),(16,1),(17,1),(19,1)}
       27:{1,2,4,5,6}:{(16,1),(18,1),(20,1),(36,1),(38,1),(39,1),(41,1),(43,1),(69,1)}
       28:{2,4,5,7}:{(17,1),(18,1),(33,1),(40,1)}
       29:{3,4,5,6}:{(18,1),(39,1),(40,1),(41,1)}
       30:{1,4,5,7}:{(19,1),(20,1),(34,1),(42,1)}
       31:{3,4,5,6}:{(20,1),(39,1),(42,1),(43,1)}
       32:{1,2,5,6,7}:{(21,1),(22,1),(26,1),(46,1),(70,1),(71,1)}
       33:{2,4,6,7}:{(21,1),(28,1),(47,1)}
       34:{1,4,6,7}:{(22,1),(30,1),(48,1)}
       35:{1,2,3,5,7}:{(23,1),(24,1),(26,1),(49,1),(53,1),(78,1),(83,1)}
       36:{1,2,4,6}:{(24,1),(25,1),(49,1),(50,1)}
       37:{3,4,5}:{(25,1),(50,1)}
       38:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(30,1),(46,1),(49,1),(53,1),(56,1),(57,1),(78,1)}
       39:{3,5,6}:{(27,1),(50,1),(53,1)}
       40:{3,4,5,7}:{(28,1),(29,1),(47,1),(53,1),(56,1)}
       41:{1,4,5,6}:{(29,1),(54,1),(56,1)}
       42:{3,4,5,7}:{(30,1),(31,1),(48,1),(53,1),(57,1)}
       43:{2,4,5,6}:{(31,1),(55,1),(57,1)}
       44:{2,4,5,6,7}:{(33,1),(58,1)}
       45:{1,4,5,6,7}:{(34,1),(59,1)}
       46:{1,2,4,6,7}:{(32,1),(33,1),(34,1),(38,1),(60,1),(61,1),(62,1),(79,1)}
       47:{3,4,6,7}:{(33,1),(40,1),(58,1),(60,1),(61,1)}
       48:{3,4,6,7}:{(34,1),(42,1),(59,1),(60,1),(62,1)}
       49:{1,2,4,7}:{(35,1),(36,1),(63,1)}
       50:{3,4,6}:{(36,1),(37,1),(39,1),(63,1)}
       51:{1,3,4,5}:{(37,1),(64,1),(66,1)}
       52:{2,3,4,5}:{(37,1),(65,1),(66,1)}
       53:{3,5,7}:{(38,1),(39,1),(60,1),(63,1)}
       54:{1,3,5,6}:{(39,1),(41,1),(64,1),(67,1),(69,1)}
       55:{2,3,5,6}:{(39,1),(43,1),(65,1),(68,1),(69,1)}
       56:{1,4,5,7}:{(40,1),(41,1),(61,1),(67,1)}
       57:{2,4,5,7}:{(42,1),(43,1),(62,1),(68,1)}
       58:{3,5,6,7}:{(44,1),(47,1),(70,1)}
       59:{3,5,6,7}:{(45,1),(48,1),(71,1)}
       60:{3,6,7}:{(46,1),(53,1)}
       61:{1,4,6,7}:{(47,1),(56,1),(70,1),(72,1)}
       62:{2,4,6,7}:{(48,1),(57,1),(71,1),(73,1)}
       63:{3,4,7}:{(49,1),(50,1),(53,1)}
       64:{1,3,4,6}:{(50,1),(51,1),(54,1),(74,1),(76,1)}
       65:{2,3,4,6}:{(50,1),(52,1),(55,1),(75,1),(76,1)}
       66:{1,2,4,5}:{(51,1),(52,1),(76,1),(77,1)}
       67:{1,3,5,7}:{(53,1),(54,1),(56,1),(72,1),(74,1),(78,1)}
       68:{2,3,5,7}:{(53,1),(55,1),(57,1),(73,1),(75,1),(78,1)}
       69:{1,2,5,6}:{(54,1),(55,1),(76,1),(78,1)}
       70:{1,5,6,7}:{(58,1),(61,1)}
       71:{2,5,6,7}:{(59,1),(62,1)}
       72:{1,3,6,7}:{(60,1),(61,1),(67,1),(79,1)}
       73:{2,3,6,7}:{(60,1),(62,1),(68,1),(79,1)}
       74:{1,3,4,7}:{(63,1),(64,1),(67,1),(80,1)}
       75:{2,3,4,7}:{(63,1),(65,1),(68,1),(80,1)}
       76:{1,2,4,6}:{(64,1),(65,1),(66,1),(69,1),(80,1),(81,1)}
       77:{1,2,3,5}:{(66,1),(81,1),(82,1)}
       78:{1,2,5,7}:{(67,1),(68,1),(69,1),(79,1),(80,1)}
       79:{1,2,6,7}:{(72,1),(73,1),(78,1)}
       80:{1,2,4,7}:{(74,1),(75,1),(76,1),(78,1),(83,1)}
       81:{1,2,3,6}:{(76,1),(77,1),(83,1)}
       82:{1,2,3,4}:{(77,1)}
       83:{1,2,3,7}:{(80,1),(81,1)}

1915 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(13,1),(31,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(19,1),(42,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(14,1),(34,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(7,1),(19,1),(38,1),(39,1),(42,1),(43,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(19,1)}
        7:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(13,1),(47,1),(48,1)}
        8:{1,2,4,5,6}:{(5,1),(12,1),(14,1),(32,1),(33,1),(34,1)}
        9:{3,4,6}:{(5,1),(6,1),(14,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(29,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(30,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(19,1),(40,1),(41,1),(42,1)}
       13:{3,4,6,7}:{(7,1),(9,1),(19,1)}
       14:{3,5,6}:{(8,1),(9,1),(19,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(23,1),(25,1),(58,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(24,1),(25,1),(58,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(42,1),(57,1),(59,1)}
       18:{1,2,4,5,6,7}:{(12,1),(27,1),(47,1),(48,1),(49,1)}
       19:{3,5,7}:{(12,1),(13,1),(14,1)}
       20:{1,3,4,6,7}:{(13,1),(15,1),(29,1),(31,1),(47,1),(60,1),(61,1)}
       21:{2,3,4,6,7}:{(13,1),(16,1),(30,1),(31,1),(48,1),(60,1),(61,1)}
       22:{3,4,5,6}:{(14,1),(28,1),(32,1),(33,1),(52,1)}
       23:{1,3,5,6}:{(14,1),(15,1),(29,1),(32,1),(34,1),(52,1)}
       24:{2,3,5,6}:{(14,1),(16,1),(30,1),(33,1),(34,1),(52,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,5,6,7}:{(18,1),(19,1),(37,1)}
       28:{3,4,5,7}:{(19,1),(22,1),(37,1),(40,1),(41,1),(56,1)}
       29:{1,3,5,7}:{(19,1),(20,1),(23,1),(40,1),(42,1),(56,1)}
       30:{2,3,5,7}:{(19,1),(21,1),(24,1),(41,1),(42,1),(56,1)}
       31:{1,2,4,6,7}:{(20,1),(21,1),(25,1),(42,1),(43,1),(57,1)}
       32:{1,4,5,6}:{(22,1),(23,1),(40,1)}
       33:{2,4,5,6}:{(22,1),(24,1),(41,1)}
       34:{1,2,5,6}:{(23,1),(24,1),(25,1),(42,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(57,1)}
       37:{3,4,6,7}:{(27,1),(28,1),(47,1),(48,1),(60,1)}
       38:{1,3,5,6,7}:{(27,1),(29,1),(47,1),(49,1),(60,1)}
       39:{2,3,5,6,7}:{(27,1),(30,1),(48,1),(49,1),(60,1)}
       40:{1,4,5,7}:{(28,1),(29,1),(32,1),(47,1)}
       41:{2,4,5,7}:{(28,1),(30,1),(33,1),(48,1)}
       42:{1,2,5,7}:{(29,1),(30,1),(31,1),(34,1)}
       43:{1,2,3,6,7}:{(31,1),(35,1),(51,1),(60,1)}
       44:{1,2,4,5,6}:{(32,1),(33,1),(34,1),(50,1),(52,1),(53,1)}
       45:{1,2,3,5,6}:{(34,1),(35,1),(51,1),(52,1),(53,1),(54,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(40,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(41,1)}
       49:{1,2,5,6,7}:{(38,1),(39,1),(42,1),(55,1)}
       50:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(44,1),(55,1),(56,1),(57,1)}
       51:{1,2,3,5,7}:{(42,1),(43,1),(45,1),(56,1),(57,1)}
       52:{3,5,6}:{(44,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(45,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(50,1),(60,1)}
       56:{3,5,7}:{(50,1),(52,1),(60,1),(61,1)}
       57:{1,2,4,7}:{(51,1),(53,1),(61,1)}
       58:{3,4,6}:{(52,1),(53,1),(61,1),(62,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(58,1),(59,1)}

1916 :   0:{1,3,4,5,7}:{(2,1),(3,1),(19,1),(27,1),(76,1),(118,1),(122,1),(128,1),(171,1),(175,1)}
         1:{2,3,4,5,7}:{(4,1),(5,1),(21,1),(23,1),(72,1),(117,1),(123,1),(132,1),(171,1),(178,1)}
         2:{1,2,4,5,7}:{(0,1),(8,1),(9,1),(38,1),(43,1),(89,1),(96,1),(98,1)}
         3:{1,3,4,6}:{(0,1),(9,1),(10,1),(99,1),(152,1),(189,1),(193,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(41,1),(43,1),(93,1),(96,1),(102,1)}
         5:{2,3,4,6}:{(1,1),(12,1),(13,1),(103,1),(147,1),(189,1),(195,1)}
         6:{1,3,4,6,7}:{(3,1),(18,1),(19,1),(32,1),(81,1),(118,1),(138,1)}
         7:{2,3,4,6,7}:{(5,1),(20,1),(21,1),(35,1),(84,1),(123,1),(142,1)}
         8:{2,3,5,7}:{(2,1),(23,1),(24,1),(72,1),(171,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(24,1),(25,1),(73,1)}
        10:{1,3,5,6}:{(3,1),(19,1),(25,1),(26,1),(74,1),(76,1),(187,1)}
        11:{1,3,5,7}:{(4,1),(27,1),(28,1),(76,1),(171,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(28,1),(29,1),(77,1)}
        13:{2,3,5,6}:{(5,1),(21,1),(29,1),(30,1),(72,1),(78,1),(188,1)}
        14:{1,3,5,6,7}:{(19,1),(31,1),(32,1),(33,1),(81,1),(121,1)}
        15:{1,4,5,6,7}:{(32,1),(33,1),(140,1)}
        16:{2,3,5,6,7}:{(21,1),(34,1),(35,1),(36,1),(84,1),(116,1)}
        17:{2,4,5,6,7}:{(35,1),(36,1),(136,1)}
        18:{1,2,4,6,7}:{(6,1),(9,1),(37,1),(38,1),(89,1)}
        19:{1,3,5,7}:{(6,1),(10,1),(38,1),(39,1),(90,1),(167,1)}
        20:{1,2,4,6,7}:{(7,1),(12,1),(40,1),(41,1),(93,1)}
        21:{2,3,5,7}:{(7,1),(13,1),(41,1),(42,1),(94,1),(169,1)}
        22:{1,2,3,5,7}:{(8,1),(11,1),(43,1),(44,1),(96,1)}
        23:{2,3,4,7}:{(8,1),(43,1),(45,1),(89,1),(146,1)}
        24:{2,3,6}:{(8,1),(9,1),(189,1)}
        25:{1,2,5,6}:{(9,1),(10,1),(38,1),(46,1),(96,1)}
        26:{1,4,5,6}:{(10,1),(39,1),(48,1),(102,1),(152,1)}
        27:{1,3,4,7}:{(11,1),(43,1),(49,1),(93,1),(146,1)}
        28:{1,3,6}:{(11,1),(12,1),(189,1)}
        29:{1,2,5,6}:{(12,1),(13,1),(41,1),(50,1),(96,1)}
        30:{2,4,5,6}:{(13,1),(42,1),(52,1),(98,1),(147,1)}
        31:{1,2,5,6,7}:{(14,1),(38,1),(53,1),(54,1),(56,1),(144,1),(167,1)}
        32:{1,4,6,7}:{(14,1),(39,1),(55,1),(152,1)}
        33:{3,5,6,7}:{(15,1),(55,1),(56,1),(168,1)}
        34:{1,2,5,6,7}:{(16,1),(41,1),(57,1),(58,1),(60,1),(144,1),(169,1)}
        35:{2,4,6,7}:{(16,1),(42,1),(59,1),(147,1)}
        36:{3,5,6,7}:{(17,1),(59,1),(60,1),(166,1)}
        37:{2,3,6,7}:{(18,1),(24,1),(63,1),(81,1)}
        38:{1,2,5,7}:{(18,1),(19,1),(25,1),(63,1)}
        39:{1,4,5,7}:{(19,1),(26,1),(32,1),(65,1)}
        40:{1,3,6,7}:{(20,1),(28,1),(67,1),(84,1)}
        41:{1,2,5,7}:{(20,1),(21,1),(29,1),(67,1)}
        42:{2,4,5,7}:{(21,1),(30,1),(35,1),(69,1)}
        43:{1,2,4,7}:{(22,1),(23,1),(27,1),(70,1)}
        44:{1,2,3,6}:{(22,1),(24,1),(28,1),(70,1)}
        45:{2,3,4,6}:{(23,1),(24,1),(70,1),(72,1),(73,1),(127,1)}
        46:{2,3,5,6}:{(24,1),(25,1),(63,1),(72,1),(73,1),(74,1)}
        47:{1,2,4,5,6}:{(25,1),(26,1),(64,1),(73,1),(74,1),(75,1),(126,1),(129,1),(131,1),(136,1),(170,1),(187,1)}
        48:{3,4,5,6}:{(26,1),(65,1),(74,1),(75,1),(132,1),(177,1)}
        49:{1,3,4,6}:{(27,1),(28,1),(70,1),(76,1),(77,1),(127,1)}
        50:{1,3,5,6}:{(28,1),(29,1),(67,1),(76,1),(77,1),(78,1)}
        51:{1,2,4,5,6}:{(29,1),(30,1),(68,1),(77,1),(78,1),(79,1),(126,1),(134,1),(135,1),(140,1),(170,1),(188,1)}
        52:{3,4,5,6}:{(30,1),(69,1),(78,1),(79,1),(128,1),(174,1)}
        53:{2,3,5,6,7}:{(31,1),(63,1),(80,1),(81,1),(116,1),(137,1)}
        54:{1,2,4,6,7}:{(31,1),(32,1),(64,1),(80,1),(81,1),(82,1),(138,1),(139,1),(170,1)}
        55:{3,4,6,7}:{(32,1),(33,1),(65,1),(81,1),(82,1),(177,1)}
        56:{2,5,6,7}:{(33,1),(82,1),(188,1)}
        57:{1,3,5,6,7}:{(34,1),(67,1),(83,1),(84,1),(121,1),(141,1)}
        58:{1,2,4,6,7}:{(34,1),(35,1),(68,1),(83,1),(84,1),(85,1),(142,1),(143,1),(170,1)}
        59:{3,4,6,7}:{(35,1),(36,1),(69,1),(84,1),(85,1),(174,1)}
        60:{1,5,6,7}:{(36,1),(85,1),(187,1)}
        61:{1,2,3,6,7}:{(37,1),(40,1),(44,1),(86,1),(87,1),(108,1),(113,1),(189,1),(208,1)}
        62:{2,3,4,6,7}:{(37,1),(45,1),(86,1),(88,1),(89,1),(107,1),(146,1),(147,1),(189,1)}
        63:{2,3,5,7}:{(37,1),(38,1),(46,1),(89,1),(90,1)}
        64:{1,2,4,5,7}:{(38,1),(39,1),(47,1),(54,1),(89,1),(90,1),(91,1),(106,1),(149,1),(151,1),(167,1)}
        65:{3,4,5,7}:{(39,1),(48,1),(55,1),(90,1),(91,1)}
        66:{1,3,4,6,7}:{(40,1),(49,1),(86,1),(92,1),(93,1),(111,1),(146,1),(152,1),(189,1)}
        67:{1,3,5,7}:{(40,1),(41,1),(50,1),(93,1),(94,1)}
        68:{1,2,4,5,7}:{(41,1),(42,1),(51,1),(58,1),(93,1),(94,1),(95,1),(110,1),(155,1),(156,1),(169,1)}
        69:{3,4,5,7}:{(42,1),(52,1),(59,1),(94,1),(95,1)}
        70:{1,2,4,6}:{(43,1),(44,1),(45,1),(49,1),(96,1)}
        71:{1,2,3,5,6}:{(44,1),(46,1),(50,1),(87,1),(96,1),(97,1),(100,1),(105,1),(144,1),(157,1),(189,1),(197,1),(198,1),(208,1)}
        72:{2,3,5}:{(45,1),(96,1),(98,1),(157,1)}
        73:{2,4,6}:{(46,1),(89,1),(98,1),(99,1)}
        74:{3,5,6}:{(47,1),(90,1),(99,1),(157,1),(189,1)}
        75:{2,4,5,6}:{(48,1),(91,1),(101,1),(164,1),(195,1)}
        76:{1,3,5}:{(49,1),(96,1),(102,1),(157,1)}
        77:{1,4,6}:{(50,1),(93,1),(102,1),(103,1)}
        78:{3,5,6}:{(51,1),(94,1),(103,1),(157,1),(189,1)}
        79:{1,4,5,6}:{(52,1),(95,1),(104,1),(160,1),(193,1)}
        80:{2,4,6,7}:{(53,1),(89,1),(106,1),(107,1),(147,1)}
        81:{3,6,7}:{(54,1),(90,1),(189,1)}
        82:{2,4,6,7}:{(55,1),(56,1),(91,1),(109,1),(195,1)}
        83:{1,4,6,7}:{(57,1),(93,1),(110,1),(111,1),(152,1)}
        84:{3,6,7}:{(58,1),(94,1),(189,1)}
        85:{1,4,6,7}:{(59,1),(60,1),(95,1),(112,1),(193,1)}
        86:{1,2,4,6,7}:{(61,1),(62,1),(66,1),(70,1),(114,1),(115,1),(138,1),(142,1),(170,1)}
        87:{1,2,3,5,7}:{(61,1),(63,1),(67,1),(71,1),(114,1),(115,1),(119,1),(125,1),(171,1),(203,1),(204,1)}
        88:{2,3,5,7}:{(62,1),(72,1),(114,1),(116,1),(117,1),(137,1),(171,1)}
        89:{2,4,7}:{(63,1),(73,1),(118,1)}
        90:{3,5,7}:{(64,1),(74,1),(81,1),(118,1)}
        91:{2,4,5,7}:{(65,1),(75,1),(82,1),(120,1)}
        92:{1,3,5,7}:{(66,1),(76,1),(114,1),(121,1),(122,1),(141,1),(171,1)}
        93:{1,4,7}:{(67,1),(77,1),(123,1)}
        94:{3,5,7}:{(68,1),(78,1),(84,1),(123,1)}
        95:{1,4,5,7}:{(69,1),(79,1),(85,1),(124,1)}
        96:{1,2,5}:{(70,1),(72,1),(76,1)}
        97:{1,2,4,6}:{(71,1),(73,1),(77,1),(115,1),(126,1),(127,1),(129,1),(134,1)}
        98:{2,4,5}:{(72,1),(73,1),(128,1)}
        99:{3,4,6}:{(73,1),(74,1),(118,1),(128,1),(129,1)}
       100:{1,3,5,6}:{(74,1),(119,1),(129,1),(131,1),(180,1),(184,1),(187,1),(201,1)}
       101:{2,3,5,6}:{(74,1),(75,1),(120,1),(130,1),(131,1),(181,1),(202,1)}
       102:{1,4,5}:{(76,1),(77,1),(132,1)}
       103:{3,4,6}:{(77,1),(78,1),(123,1),(132,1),(134,1)}
       104:{1,3,5,6}:{(78,1),(79,1),(124,1),(133,1),(135,1),(180,1),(201,1)}
       105:{2,3,5,6}:{(78,1),(125,1),(134,1),(135,1),(181,1),(186,1),(188,1),(202,1)}
       106:{2,4,5,7}:{(80,1),(136,1),(137,1)}
       107:{3,4,6,7}:{(80,1),(81,1),(118,1),(137,1),(138,1),(174,1)}
       108:{1,3,6,7}:{(81,1),(119,1),(138,1),(139,1),(201,1)}
       109:{2,3,6,7}:{(81,1),(82,1),(120,1),(139,1),(202,1)}
       110:{1,4,5,7}:{(83,1),(140,1),(141,1)}
       111:{3,4,6,7}:{(83,1),(84,1),(123,1),(141,1),(142,1),(177,1)}
       112:{1,3,6,7}:{(84,1),(85,1),(124,1),(143,1),(201,1)}
       113:{2,3,6,7}:{(84,1),(125,1),(142,1),(143,1),(202,1)}
       114:{1,2,5,7}:{(86,1),(88,1),(92,1),(96,1),(144,1),(167,1),(169,1)}
       115:{1,2,4,7}:{(87,1),(89,1),(93,1),(97,1),(146,1),(149,1),(155,1)}
       116:{2,3,5,6}:{(88,1),(144,1),(147,1),(166,1),(189,1)}
       117:{2,4,5,7}:{(88,1),(89,1),(98,1),(147,1),(148,1)}
       118:{3,4,7}:{(89,1),(90,1),(99,1),(149,1)}
       119:{1,3,5,7}:{(90,1),(100,1),(108,1),(149,1),(151,1),(167,1),(194,1)}
       120:{2,3,5,7}:{(90,1),(91,1),(101,1),(109,1),(150,1),(151,1)}
       121:{1,3,5,6}:{(92,1),(144,1),(152,1),(168,1),(189,1)}
       122:{1,4,5,7}:{(92,1),(93,1),(102,1),(152,1),(153,1)}
       123:{3,4,7}:{(93,1),(94,1),(103,1),(155,1)}
       124:{1,3,5,7}:{(94,1),(95,1),(104,1),(112,1),(154,1),(156,1)}
       125:{2,3,5,7}:{(94,1),(105,1),(113,1),(155,1),(156,1),(169,1),(196,1)}
       126:{1,2,4,5}:{(96,1),(97,1),(98,1),(102,1),(157,1),(160,1),(164,1),(197,1)}
       127:{3,4,6}:{(97,1),(146,1),(157,1),(189,1)}
       128:{3,4,5}:{(98,1),(99,1),(157,1),(160,1)}
       129:{1,4,6}:{(99,1),(100,1),(149,1),(160,1)}
       130:{2,3,4,6}:{(99,1),(101,1),(150,1),(161,1),(162,1)}
       131:{1,2,5,6}:{(100,1),(101,1),(151,1),(162,1),(197,1),(208,1)}
       132:{3,4,5}:{(102,1),(103,1),(157,1),(164,1)}
       133:{1,3,4,6}:{(103,1),(104,1),(154,1),(163,1),(165,1)}
       134:{2,4,6}:{(103,1),(105,1),(155,1),(164,1)}
       135:{1,2,5,6}:{(104,1),(105,1),(156,1),(165,1),(197,1),(208,1)}
       136:{2,4,5,6}:{(106,1),(147,1),(166,1)}
       137:{3,5,7}:{(106,1),(107,1),(166,1),(167,1)}
       138:{1,4,6,7}:{(107,1),(108,1),(149,1),(167,1),(193,1)}
       139:{1,2,6,7}:{(108,1),(109,1),(151,1),(208,1)}
       140:{1,4,5,6}:{(110,1),(152,1),(168,1)}
       141:{3,5,7}:{(110,1),(111,1),(168,1),(169,1)}
       142:{2,4,6,7}:{(111,1),(113,1),(155,1),(169,1),(195,1)}
       143:{1,2,6,7}:{(112,1),(113,1),(156,1),(208,1)}
       144:{1,2,5,6}:{(114,1),(116,1),(121,1),(170,1),(187,1),(188,1)}
       145:{1,2,4,5,7}:{(114,1),(115,1),(117,1),(122,1),(126,1),(170,1),(171,1),(175,1),(178,1),(203,1)}
       146:{3,4,7}:{(115,1),(127,1),(171,1)}
       147:{2,4,6}:{(116,1),(117,1),(174,1)}
       148:{3,4,5,7}:{(117,1),(118,1),(128,1),(137,1),(171,1),(174,1),(175,1)}
       149:{1,4,7}:{(118,1),(119,1),(129,1)}
       150:{2,3,4,7}:{(118,1),(120,1),(130,1),(176,1)}
       151:{1,2,5,7}:{(119,1),(120,1),(131,1),(139,1),(176,1)}
       152:{1,4,6}:{(121,1),(122,1),(177,1)}
       153:{3,4,5,7}:{(122,1),(123,1),(132,1),(141,1),(171,1),(177,1),(178,1)}
       154:{1,3,4,7}:{(123,1),(124,1),(133,1),(179,1)}
       155:{2,4,7}:{(123,1),(125,1),(134,1)}
       156:{1,2,5,7}:{(124,1),(125,1),(135,1),(143,1),(179,1)}
       157:{3,5}:{(126,1),(127,1)}
       158:{1,3,4,6}:{(127,1),(129,1),(172,1),(180,1),(182,1),(184,1),(201,1),(206,1)}
       159:{2,3,4,6}:{(127,1),(134,1),(173,1),(181,1),(182,1),(186,1),(202,1),(207,1)}
       160:{1,4,5}:{(128,1),(129,1),(180,1)}
       161:{2,3,4,5}:{(128,1),(130,1),(181,1),(183,1),(207,1)}
       162:{1,2,4,6}:{(129,1),(130,1),(131,1),(176,1),(183,1),(184,1)}
       163:{1,3,4,5}:{(132,1),(133,1),(180,1),(185,1),(206,1)}
       164:{2,4,5}:{(132,1),(134,1),(181,1)}
       165:{1,2,4,6}:{(133,1),(134,1),(135,1),(179,1),(185,1),(186,1)}
       166:{3,5,6}:{(136,1),(137,1),(174,1),(187,1)}
       167:{1,5,7}:{(137,1),(138,1),(187,1)}
       168:{3,5,6}:{(140,1),(141,1),(177,1),(188,1)}
       169:{2,5,7}:{(141,1),(142,1),(188,1)}
       170:{1,2,4,6}:{(144,1),(145,1),(147,1),(152,1),(189,1),(193,1),(195,1),(208,1)}
       171:{3,5,7}:{(145,1),(146,1),(157,1),(189,1)}
       172:{1,3,4,7}:{(146,1),(149,1),(158,1),(190,1),(192,1),(194,1)}
       173:{2,3,4,7}:{(146,1),(155,1),(159,1),(191,1),(192,1),(196,1)}
       174:{3,4,6}:{(147,1),(148,1),(166,1),(189,1),(193,1)}
       175:{1,4,5,7}:{(148,1),(149,1),(160,1),(167,1),(190,1),(193,1)}
       176:{1,2,4,7}:{(149,1),(150,1),(151,1),(162,1),(194,1)}
       177:{3,4,6}:{(152,1),(153,1),(168,1),(189,1),(195,1)}
       178:{2,4,5,7}:{(153,1),(155,1),(164,1),(169,1),(191,1),(195,1)}
       179:{1,2,4,7}:{(154,1),(155,1),(156,1),(165,1),(196,1)}
       180:{1,3,5}:{(157,1),(158,1),(160,1),(197,1)}
       181:{2,3,5}:{(157,1),(159,1),(164,1),(197,1)}
       182:{1,2,4,6}:{(158,1),(159,1),(192,1),(197,1),(198,1),(208,1),(209,1)}
       183:{1,2,4,5}:{(160,1),(161,1),(162,1),(197,1),(199,1),(209,1)}
       184:{1,3,6}:{(162,1),(194,1),(199,1)}
       185:{1,2,4,5}:{(163,1),(164,1),(165,1),(197,1),(200,1),(209,1)}
       186:{2,3,6}:{(165,1),(196,1),(200,1)}
       187:{1,5,6}:{(166,1),(167,1),(193,1)}
       188:{2,5,6}:{(168,1),(169,1),(195,1)}
       189:{3,6}:{(170,1),(171,1)}
       190:{1,3,5,7}:{(171,1),(172,1),(175,1),(180,1),(201,1),(203,1)}
       191:{2,3,5,7}:{(171,1),(173,1),(178,1),(181,1),(202,1),(203,1)}
       192:{1,2,4,7}:{(172,1),(173,1),(182,1),(203,1),(204,1)}
       193:{1,4,6}:{(174,1),(175,1),(187,1),(201,1)}
       194:{1,3,7}:{(176,1),(184,1)}
       195:{2,4,6}:{(177,1),(178,1),(188,1),(202,1)}
       196:{2,3,7}:{(179,1),(186,1)}
       197:{1,2,5}:{(180,1),(181,1),(182,1)}
       198:{1,2,3,6}:{(182,1),(184,1),(186,1),(204,1),(205,1)}
       199:{1,3,5}:{(183,1),(184,1),(206,1)}
       200:{2,3,5}:{(185,1),(186,1),(207,1)}
       201:{1,3,6}:{(189,1),(190,1),(193,1),(208,1)}
       202:{2,3,6}:{(189,1),(191,1),(195,1),(208,1)}
       203:{1,2,5,7}:{(190,1),(191,1),(192,1),(197,1),(208,1)}
       204:{1,2,3,7}:{(192,1),(194,1),(196,1),(198,1)}
       205:{1,2,3,5}:{(197,1),(198,1),(199,1),(200,1),(209,1)}
       206:{1,3,4}:{(199,1),(209,1)}
       207:{2,3,4}:{(200,1),(209,1)}
       208:{1,2,6}:{(201,1),(202,1),(203,1)}
       209:{1,2,4}:{(205,1),(206,1),(207,1)}

1917 :  0:{1,2,3,4,7}:{(1,1),(2,1),(32,1),(80,1)}
        1:{1,2,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(42,1),(71,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        3:{1,3,4,5,7}:{(5,1),(8,1),(20,1),(24,1),(46,1)}
        4:{2,3,4,5,7}:{(5,1),(9,1),(20,1),(26,1),(46,1)}
        5:{1,2,4,5,7}:{(2,1),(3,1),(4,1),(10,1),(11,1),(28,1),(32,1)}
        6:{1,2,3,5}:{(1,1),(11,1)}
        7:{1,2,3,6}:{(2,1),(10,1)}
        8:{1,3,4,6}:{(3,1),(10,1),(14,1),(31,1)}
        9:{2,3,4,6}:{(4,1),(10,1),(16,1),(31,1)}
       10:{1,2,4,6}:{(5,1),(7,1),(8,1),(9,1),(18,1)}
       11:{1,2,4,5}:{(6,1),(20,1),(21,1)}
       12:{1,2,3,5,6}:{(6,1),(7,1),(18,1),(21,1),(22,1),(40,1),(68,1),(71,1)}
       13:{1,2,3,6,7}:{(7,1),(19,1),(22,1),(67,1),(83,1)}
       14:{1,3,5,6}:{(8,1),(18,1),(23,1),(24,1),(40,1)}
       15:{1,3,4,6,7}:{(8,1),(19,1),(24,1),(46,1),(47,1),(67,1)}
       16:{2,3,5,6}:{(9,1),(18,1),(25,1),(26,1),(40,1)}
       17:{2,3,4,6,7}:{(9,1),(19,1),(26,1),(46,1),(50,1),(67,1)}
       18:{1,2,5,6}:{(10,1),(14,1),(16,1),(28,1)}
       19:{1,2,4,6,7}:{(10,1),(13,1),(15,1),(17,1),(28,1),(32,1)}
       20:{3,4,5}:{(11,1),(31,1)}
       21:{1,2,4,6}:{(11,1),(12,1),(31,1),(32,1)}
       22:{1,2,3,5,7}:{(12,1),(13,1),(28,1),(32,1),(56,1),(79,1),(80,1)}
       23:{1,4,5,6}:{(14,1),(34,1),(35,1)}
       24:{1,3,5,7}:{(14,1),(15,1),(28,1),(35,1),(56,1)}
       25:{2,4,5,6}:{(16,1),(37,1),(38,1)}
       26:{2,3,5,7}:{(16,1),(17,1),(28,1),(38,1),(56,1)}
       27:{1,2,4,5,6}:{(18,1),(21,1),(23,1),(25,1),(40,1),(41,1),(48,1),(51,1),(68,1)}
       28:{1,2,5,7}:{(18,1),(19,1),(24,1),(26,1)}
       29:{2,3,4,5}:{(20,1),(43,1),(44,1)}
       30:{1,3,4,5}:{(20,1),(43,1),(45,1)}
       31:{3,4,6}:{(20,1),(21,1),(40,1),(46,1)}
       32:{1,2,4,7}:{(21,1),(22,1),(46,1)}
       33:{1,3,5,6,7}:{(24,1),(39,1),(47,1),(67,1),(73,1)}
       34:{3,4,5,6}:{(23,1),(40,1),(48,1),(49,1)}
       35:{1,4,5,7}:{(23,1),(24,1),(47,1),(49,1)}
       36:{2,3,5,6,7}:{(26,1),(39,1),(50,1),(67,1),(75,1)}
       37:{3,4,5,6}:{(25,1),(40,1),(51,1),(52,1)}
       38:{2,4,5,7}:{(25,1),(26,1),(50,1),(52,1)}
       39:{1,2,5,6,7}:{(28,1),(33,1),(36,1),(53,1),(81,1),(82,1)}
       40:{3,5,6}:{(27,1),(31,1),(56,1)}
       41:{1,2,4,5,7}:{(27,1),(28,1),(32,1),(35,1),(38,1),(53,1),(56,1),(63,1),(66,1),(79,1)}
       42:{1,2,3,4}:{(57,1)}
       43:{1,2,4,5}:{(29,1),(30,1),(57,1),(58,1)}
       44:{2,3,4,6}:{(29,1),(31,1),(54,1),(58,1),(59,1)}
       45:{1,3,4,6}:{(30,1),(31,1),(55,1),(58,1),(60,1)}
       46:{3,4,7}:{(31,1),(32,1),(56,1)}
       47:{1,4,6,7}:{(33,1),(35,1),(62,1)}
       48:{2,4,5,6}:{(34,1),(54,1),(63,1)}
       49:{3,4,5,7}:{(34,1),(35,1),(56,1),(62,1),(63,1)}
       50:{2,4,6,7}:{(36,1),(38,1),(65,1)}
       51:{1,4,5,6}:{(37,1),(55,1),(66,1)}
       52:{3,4,5,7}:{(37,1),(38,1),(56,1),(65,1),(66,1)}
       53:{1,2,4,6,7}:{(39,1),(41,1),(47,1),(50,1),(67,1),(74,1),(76,1),(83,1)}
       54:{2,3,5,6}:{(40,1),(44,1),(48,1),(68,1),(69,1)}
       55:{1,3,5,6}:{(40,1),(45,1),(51,1),(68,1),(70,1)}
       56:{3,5,7}:{(40,1),(41,1),(46,1),(67,1)}
       57:{1,2,3,5}:{(42,1),(43,1),(71,1)}
       58:{1,2,4,6}:{(43,1),(44,1),(45,1),(68,1),(71,1),(72,1)}
       59:{2,3,4,7}:{(44,1),(46,1),(69,1),(72,1)}
       60:{1,3,4,7}:{(45,1),(46,1),(70,1),(72,1)}
       61:{1,4,5,6,7}:{(47,1),(73,1)}
       62:{3,4,6,7}:{(47,1),(49,1),(67,1),(73,1),(74,1)}
       63:{2,4,5,7}:{(48,1),(49,1),(69,1),(74,1)}
       64:{2,4,5,6,7}:{(50,1),(75,1)}
       65:{3,4,6,7}:{(50,1),(52,1),(67,1),(75,1),(76,1)}
       66:{1,4,5,7}:{(51,1),(52,1),(70,1),(76,1)}
       67:{3,6,7}:{(53,1),(56,1)}
       68:{1,2,5,6}:{(54,1),(55,1),(58,1),(79,1)}
       69:{2,3,5,7}:{(54,1),(56,1),(59,1),(63,1),(77,1),(79,1)}
       70:{1,3,5,7}:{(55,1),(56,1),(60,1),(66,1),(78,1),(79,1)}
       71:{1,2,3,6}:{(57,1),(58,1),(80,1)}
       72:{1,2,4,7}:{(58,1),(59,1),(60,1),(79,1),(80,1)}
       73:{3,5,6,7}:{(61,1),(62,1),(81,1)}
       74:{2,4,6,7}:{(62,1),(63,1),(77,1),(81,1)}
       75:{3,5,6,7}:{(64,1),(65,1),(82,1)}
       76:{1,4,6,7}:{(65,1),(66,1),(78,1),(82,1)}
       77:{2,3,6,7}:{(67,1),(69,1),(74,1),(83,1)}
       78:{1,3,6,7}:{(67,1),(70,1),(76,1),(83,1)}
       79:{1,2,5,7}:{(68,1),(69,1),(70,1),(72,1),(83,1)}
       80:{1,2,3,7}:{(71,1),(72,1)}
       81:{2,5,6,7}:{(73,1),(74,1)}
       82:{1,5,6,7}:{(75,1),(76,1)}
       83:{1,2,6,7}:{(77,1),(78,1),(79,1)}

1918 :   0:{1,2,3,6,7}:{(3,1),(4,1),(40,1),(48,1),(83,1),(84,1),(85,1),(104,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(15,1),(19,1),(41,1),(48,1),(53,1),(84,1),(99,1),(104,1)}
         2:{1,3,4,6,7}:{(4,1),(6,1),(15,1),(22,1),(42,1),(48,1),(57,1),(85,1),(100,1),(104,1)}
         3:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(26,1),(29,1),(58,1),(65,1),(94,1),(95,1)}
         4:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(30,1),(60,1),(71,1),(74,1),(96,1),(103,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(10,1),(11,1),(29,1),(61,1),(70,1)}
         6:{1,3,5,7}:{(2,1),(9,1),(12,1),(13,1),(29,1),(62,1),(73,1)}
         7:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(40,1),(43,1),(48,1),(79,1),(80,1),(81,1),(83,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(75,1),(99,1),(100,1)}
         9:{1,2,5,7}:{(4,1),(5,1),(6,1),(17,1),(79,1),(86,1),(87,1)}
        10:{2,4,5,7}:{(5,1),(18,1),(19,1),(76,1),(99,1)}
        11:{2,3,5,6}:{(5,1),(17,1),(19,1),(48,1),(50,1)}
        12:{1,4,5,7}:{(6,1),(21,1),(22,1),(77,1),(100,1)}
        13:{1,3,5,6}:{(6,1),(17,1),(22,1),(48,1),(54,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(90,1),(91,1)}
        15:{3,4,7}:{(8,1),(24,1),(29,1),(88,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(12,1),(25,1),(29,1),(30,1),(33,1),(37,1),(65,1),(89,1),(103,1)}
        17:{1,2,5,6}:{(9,1),(11,1),(13,1),(30,1),(69,1),(72,1)}
        18:{3,4,5,7}:{(10,1),(29,1),(33,1),(34,1),(59,1),(70,1),(92,1)}
        19:{2,4,6}:{(10,1),(11,1),(34,1)}
        20:{2,3,5,6,7}:{(11,1),(31,1),(35,1),(68,1),(70,1),(94,1)}
        21:{3,4,5,7}:{(12,1),(29,1),(37,1),(38,1),(59,1),(73,1),(92,1)}
        22:{1,4,6}:{(12,1),(13,1),(38,1)}
        23:{1,3,5,6,7}:{(13,1),(31,1),(39,1),(68,1),(73,1),(95,1)}
        24:{3,4,6}:{(14,1),(15,1),(43,1),(48,1)}
        25:{1,2,4,5}:{(14,1),(43,1),(76,1),(77,1),(79,1)}
        26:{1,2,3,7}:{(40,1),(45,1),(104,1)}
        27:{2,3,4,7}:{(15,1),(41,1),(45,1),(46,1),(99,1),(104,1)}
        28:{1,3,4,7}:{(15,1),(42,1),(45,1),(47,1),(100,1),(104,1)}
        29:{3,5,7}:{(15,1),(16,1),(43,1),(48,1),(97,1),(104,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(19,1),(22,1),(48,1),(52,1),(56,1),(83,1)}
        31:{1,2,5,6,7}:{(17,1),(20,1),(23,1),(49,1),(86,1),(87,1),(101,1)}
        32:{2,4,5,6}:{(19,1),(50,1),(51,1)}
        33:{1,4,5,7}:{(18,1),(47,1),(52,1),(77,1),(86,1),(100,1)}
        34:{3,4,6}:{(18,1),(19,1),(48,1),(50,1),(52,1)}
        35:{2,4,6,7}:{(19,1),(20,1),(51,1),(53,1),(99,1)}
        36:{1,4,5,6}:{(22,1),(54,1),(55,1)}
        37:{2,4,5,7}:{(21,1),(46,1),(56,1),(76,1),(87,1),(99,1)}
        38:{3,4,6}:{(21,1),(22,1),(48,1),(54,1),(56,1)}
        39:{1,4,6,7}:{(22,1),(23,1),(55,1),(57,1),(100,1)}
        40:{1,2,3,6}:{(26,1),(58,1),(60,1),(102,1)}
        41:{2,3,4,6}:{(24,1),(27,1),(60,1),(61,1),(66,1),(88,1),(90,1),(102,1)}
        42:{1,3,4,6}:{(24,1),(28,1),(60,1),(62,1),(67,1),(88,1),(91,1),(102,1)}
        43:{3,5}:{(24,1),(25,1)}
        44:{1,2,4,5,6}:{(25,1),(30,1),(32,1),(36,1),(63,1),(64,1),(69,1),(72,1),(90,1),(91,1),(93,1)}
        45:{1,2,4,7}:{(26,1),(27,1),(28,1),(60,1),(65,1)}
        46:{2,3,5,7}:{(27,1),(29,1),(37,1),(61,1),(65,1),(66,1)}
        47:{1,3,5,7}:{(28,1),(29,1),(33,1),(62,1),(65,1),(67,1)}
        48:{3,6}:{(29,1),(30,1)}
        49:{1,2,4,6,7}:{(30,1),(31,1),(35,1),(39,1),(64,1),(68,1),(71,1),(74,1),(96,1),(103,1)}
        50:{3,5,6}:{(32,1),(34,1),(69,1),(70,1)}
        51:{2,4,5,7}:{(32,1),(35,1),(70,1)}
        52:{1,4,6}:{(33,1),(34,1),(67,1),(69,1)}
        53:{3,4,6,7}:{(34,1),(35,1),(68,1),(70,1),(71,1),(92,1)}
        54:{3,5,6}:{(36,1),(38,1),(72,1),(73,1)}
        55:{1,4,5,7}:{(36,1),(39,1),(73,1)}
        56:{2,4,6}:{(37,1),(38,1),(66,1),(72,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(68,1),(73,1),(74,1),(92,1)}
        58:{1,2,3,5}:{(40,1),(75,1),(79,1),(97,1)}
        59:{3,4,5}:{(43,1),(76,1),(77,1),(78,1),(97,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(42,1),(45,1),(75,1),(79,1),(83,1)}
        61:{2,3,5}:{(41,1),(43,1),(76,1),(79,1),(97,1)}
        62:{1,3,5}:{(42,1),(43,1),(77,1),(79,1),(97,1)}
        63:{3,5,6}:{(43,1),(44,1),(48,1),(78,1),(82,1)}
        64:{1,2,4,5,7}:{(44,1),(49,1),(51,1),(55,1),(82,1),(86,1),(87,1),(99,1),(100,1),(101,1)}
        65:{1,2,5,7}:{(45,1),(46,1),(47,1),(79,1),(83,1)}
        66:{2,3,6}:{(46,1),(48,1),(56,1),(83,1)}
        67:{1,3,6}:{(47,1),(48,1),(52,1),(83,1)}
        68:{3,6,7}:{(48,1),(49,1),(82,1),(104,1)}
        69:{1,5,6}:{(50,1),(52,1),(86,1)}
        70:{3,5,7}:{(50,1),(51,1),(53,1),(86,1)}
        71:{1,4,6,7}:{(52,1),(53,1),(85,1),(86,1),(100,1)}
        72:{2,5,6}:{(54,1),(56,1),(87,1)}
        73:{3,5,7}:{(54,1),(55,1),(57,1),(87,1)}
        74:{2,4,6,7}:{(56,1),(57,1),(84,1),(87,1),(99,1)}
        75:{1,2,4}:{(58,1),(88,1)}
        76:{2,4,5}:{(59,1),(61,1),(90,1)}
        77:{1,4,5}:{(59,1),(62,1),(91,1)}
        78:{3,4,6}:{(59,1),(63,1),(90,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(60,1),(61,1),(62,1)}
        80:{2,3,5,6}:{(61,1),(63,1),(66,1),(72,1),(90,1),(93,1),(94,1),(102,1)}
        81:{1,3,5,6}:{(62,1),(63,1),(67,1),(69,1),(91,1),(93,1),(95,1),(102,1)}
        82:{3,5,7}:{(63,1),(64,1),(68,1),(92,1)}
        83:{1,2,6}:{(65,1),(66,1),(67,1)}
        84:{2,3,6,7}:{(66,1),(68,1),(74,1),(94,1),(96,1)}
        85:{1,3,6,7}:{(67,1),(68,1),(71,1),(95,1),(96,1)}
        86:{1,5,7}:{(69,1),(70,1),(71,1)}
        87:{2,5,7}:{(72,1),(73,1),(74,1)}
        88:{3,4}:{(75,1),(97,1)}
        89:{1,2,4,5}:{(75,1),(76,1),(77,1),(79,1),(97,1),(98,1)}
        90:{2,4,6}:{(76,1),(78,1),(80,1),(99,1)}
        91:{1,4,6}:{(77,1),(78,1),(81,1),(100,1)}
        92:{3,4,7}:{(78,1),(82,1),(99,1),(100,1),(104,1)}
        93:{1,2,5,6}:{(79,1),(80,1),(81,1),(83,1),(98,1),(101,1)}
        94:{2,3,5,7}:{(80,1),(82,1),(84,1),(87,1),(99,1),(101,1),(104,1)}
        95:{1,3,5,7}:{(81,1),(82,1),(85,1),(86,1),(100,1),(101,1),(104,1)}
        96:{1,2,6,7}:{(83,1),(84,1),(85,1),(101,1)}
        97:{3,5}:{(88,1),(89,1),(102,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{2,4,7}:{(90,1),(92,1),(94,1)}
       100:{1,4,7}:{(91,1),(92,1),(95,1)}
       101:{1,2,5,7}:{(93,1),(94,1),(95,1),(96,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1919 :   0:{1,2,3,6,7}:{(3,1),(4,1),(48,1),(80,1),(83,1),(84,1),(85,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(42,1),(48,1),(52,1),(84,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(48,1),(54,1),(83,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(29,1),(61,1),(71,1),(72,1),(94,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(30,1),(69,1),(70,1),(90,1),(91,1),(93,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(11,1),(30,1),(60,1),(62,1)}
         6:{1,3,5,7}:{(2,1),(8,1),(12,1),(13,1),(30,1),(59,1),(64,1)}
         7:{1,2,3,5,6}:{(4,1),(14,1),(15,1),(40,1),(48,1),(77,1),(78,1),(79,1),(80,1),(85,1)}
         8:{1,2,5,7}:{(3,1),(5,1),(6,1),(15,1),(79,1),(81,1),(82,1)}
         9:{1,2,4,7}:{(4,1),(14,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(15,1),(19,1),(44,1),(48,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(75,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(15,1),(22,1),(46,1),(48,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(74,1),(95,1)}
        14:{1,2,4,6}:{(7,1),(9,1),(24,1),(25,1),(87,1),(88,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(12,1),(29,1),(63,1),(65,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(11,1),(13,1),(24,1),(29,1),(30,1),(35,1),(38,1),(69,1),(89,1),(101,1)}
        17:{3,4,7}:{(9,1),(25,1),(30,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(28,1),(33,1),(62,1),(66,1),(91,1)}
        19:{2,4,6}:{(10,1),(11,1),(34,1)}
        20:{3,4,5,7}:{(11,1),(30,1),(34,1),(35,1),(56,1),(62,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(28,1),(36,1),(64,1),(66,1),(90,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(30,1),(37,1),(38,1),(56,1),(64,1),(86,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(74,1),(75,1),(79,1)}
        25:{3,4,6}:{(14,1),(17,1),(40,1),(48,1)}
        26:{2,4,5,6}:{(19,1),(43,1),(44,1)}
        27:{1,4,5,6}:{(22,1),(45,1),(46,1)}
        28:{1,2,5,6,7}:{(15,1),(18,1),(21,1),(47,1),(81,1),(82,1),(99,1)}
        29:{1,2,4,6}:{(15,1),(16,1),(19,1),(22,1),(48,1),(53,1),(55,1),(85,1)}
        30:{3,5,7}:{(16,1),(17,1),(40,1),(48,1),(98,1),(104,1)}
        31:{1,3,4,7}:{(17,1),(41,1),(49,1),(51,1),(95,1),(104,1)}
        32:{2,3,4,7}:{(17,1),(42,1),(50,1),(51,1),(96,1),(104,1)}
        33:{2,4,6,7}:{(18,1),(19,1),(43,1),(52,1),(96,1)}
        34:{3,4,6}:{(19,1),(20,1),(44,1),(48,1),(53,1)}
        35:{1,4,5,7}:{(20,1),(49,1),(53,1),(74,1),(81,1),(95,1)}
        36:{1,4,6,7}:{(21,1),(22,1),(45,1),(54,1),(95,1)}
        37:{3,4,6}:{(22,1),(23,1),(46,1),(48,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(50,1),(55,1),(75,1),(82,1),(96,1)}
        39:{1,2,4,5,6}:{(24,1),(26,1),(27,1),(29,1),(57,1),(58,1),(63,1),(65,1),(87,1),(88,1),(92,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(31,1),(59,1),(61,1),(67,1),(87,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(32,1),(60,1),(61,1),(68,1),(88,1),(102,1),(103,1)}
        43:{2,4,5,7}:{(26,1),(33,1),(62,1)}
        44:{3,5,6}:{(26,1),(34,1),(62,1),(63,1)}
        45:{1,4,5,7}:{(27,1),(36,1),(64,1)}
        46:{3,5,6}:{(27,1),(37,1),(64,1),(65,1)}
        47:{1,2,4,6,7}:{(28,1),(29,1),(33,1),(36,1),(57,1),(66,1),(71,1),(72,1),(94,1),(101,1)}
        48:{3,6}:{(29,1),(30,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(35,1),(59,1),(67,1),(69,1)}
        50:{2,3,5,7}:{(30,1),(32,1),(38,1),(60,1),(68,1),(69,1)}
        51:{1,2,4,7}:{(31,1),(32,1),(61,1),(69,1),(70,1)}
        52:{3,4,6,7}:{(33,1),(34,1),(62,1),(66,1),(71,1),(86,1)}
        53:{1,4,6}:{(34,1),(35,1),(63,1),(67,1)}
        54:{3,4,6,7}:{(36,1),(37,1),(64,1),(66,1),(72,1),(86,1)}
        55:{2,4,6}:{(37,1),(38,1),(65,1),(68,1)}
        56:{3,4,5}:{(40,1),(73,1),(74,1),(75,1),(98,1)}
        57:{1,2,4,5,7}:{(39,1),(43,1),(45,1),(47,1),(76,1),(81,1),(82,1),(95,1),(96,1),(99,1)}
        58:{3,5,6}:{(39,1),(40,1),(48,1),(73,1),(76,1)}
        59:{1,3,5}:{(40,1),(41,1),(74,1),(79,1),(98,1)}
        60:{2,3,5}:{(40,1),(42,1),(75,1),(79,1),(98,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(51,1),(79,1),(80,1),(85,1),(100,1)}
        62:{3,5,7}:{(43,1),(44,1),(52,1),(81,1)}
        63:{1,5,6}:{(44,1),(53,1),(81,1)}
        64:{3,5,7}:{(45,1),(46,1),(54,1),(82,1)}
        65:{2,5,6}:{(46,1),(55,1),(82,1)}
        66:{3,6,7}:{(47,1),(48,1),(76,1),(104,1)}
        67:{1,3,6}:{(48,1),(49,1),(53,1),(85,1)}
        68:{2,3,6}:{(48,1),(50,1),(55,1),(85,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(85,1)}
        70:{1,2,3,7}:{(51,1),(80,1),(104,1)}
        71:{1,4,6,7}:{(52,1),(53,1),(81,1),(83,1),(95,1)}
        72:{2,4,6,7}:{(54,1),(55,1),(82,1),(84,1),(96,1)}
        73:{3,4,6}:{(56,1),(58,1),(86,1),(87,1),(88,1),(102,1)}
        74:{1,4,5}:{(56,1),(59,1),(87,1)}
        75:{2,4,5}:{(56,1),(60,1),(88,1)}
        76:{3,5,7}:{(57,1),(58,1),(66,1),(86,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(67,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(65,1),(68,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(70,1),(93,1),(102,1)}
        81:{1,5,7}:{(62,1),(63,1),(71,1)}
        82:{2,5,7}:{(64,1),(65,1),(72,1)}
        83:{1,3,6,7}:{(66,1),(67,1),(71,1),(90,1),(94,1)}
        84:{2,3,6,7}:{(66,1),(68,1),(72,1),(91,1),(94,1)}
        85:{1,2,6}:{(67,1),(68,1),(69,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        88:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(74,1),(75,1),(79,1),(97,1),(98,1),(100,1)}
        90:{1,3,5,7}:{(76,1),(77,1),(81,1),(83,1),(95,1),(99,1),(104,1)}
        91:{2,3,5,7}:{(76,1),(78,1),(82,1),(84,1),(96,1),(99,1),(104,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(85,1),(97,1),(99,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(98,1),(100,1)}
        94:{1,2,6,7}:{(83,1),(84,1),(85,1),(99,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,4,6}:{(87,1),(88,1),(89,1),(92,1),(101,1),(102,1)}
        98:{3,5}:{(89,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(90,1),(91,1),(92,1),(94,1),(101,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1920 :  0:{1,2,3,4,7}:{(1,1),(2,1),(29,1),(80,1)}
        1:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        2:{1,2,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(71,1),(72,1)}
        3:{1,3,4,5,7}:{(5,1),(8,1),(22,1),(23,1),(42,1)}
        4:{2,3,4,5,7}:{(5,1),(9,1),(22,1),(25,1),(42,1)}
        5:{1,2,4,5,7}:{(1,1),(3,1),(4,1),(10,1),(13,1),(27,1),(29,1)}
        6:{1,2,3,6}:{(1,1),(10,1)}
        7:{1,2,3,5}:{(2,1),(13,1)}
        8:{1,3,4,6}:{(3,1),(10,1),(15,1),(30,1)}
        9:{2,3,4,6}:{(4,1),(10,1),(17,1),(30,1)}
       10:{1,2,4,6}:{(5,1),(6,1),(8,1),(9,1),(19,1)}
       11:{1,2,3,6,7}:{(6,1),(18,1),(20,1),(66,1),(83,1)}
       12:{1,2,3,5,6}:{(6,1),(7,1),(19,1),(20,1),(21,1),(41,1),(69,1),(71,1)}
       13:{1,2,4,5}:{(7,1),(21,1),(22,1)}
       14:{1,3,4,6,7}:{(8,1),(18,1),(23,1),(42,1),(46,1),(66,1)}
       15:{1,3,5,6}:{(8,1),(19,1),(23,1),(24,1),(41,1)}
       16:{2,3,4,6,7}:{(9,1),(18,1),(25,1),(42,1),(49,1),(66,1)}
       17:{2,3,5,6}:{(9,1),(19,1),(25,1),(26,1),(41,1)}
       18:{1,2,4,6,7}:{(10,1),(11,1),(14,1),(16,1),(27,1),(29,1)}
       19:{1,2,5,6}:{(10,1),(15,1),(17,1),(27,1)}
       20:{1,2,3,5,7}:{(11,1),(12,1),(27,1),(29,1),(53,1),(79,1),(80,1)}
       21:{1,2,4,6}:{(12,1),(13,1),(29,1),(30,1)}
       22:{3,4,5}:{(13,1),(30,1)}
       23:{1,3,5,7}:{(14,1),(15,1),(27,1),(34,1),(53,1)}
       24:{1,4,5,6}:{(15,1),(34,1),(35,1)}
       25:{2,3,5,7}:{(16,1),(17,1),(27,1),(37,1),(53,1)}
       26:{2,4,5,6}:{(17,1),(37,1),(38,1)}
       27:{1,2,5,7}:{(18,1),(19,1),(23,1),(25,1)}
       28:{1,2,4,5,6}:{(19,1),(21,1),(24,1),(26,1),(40,1),(41,1),(48,1),(51,1),(69,1)}
       29:{1,2,4,7}:{(20,1),(21,1),(42,1)}
       30:{3,4,6}:{(21,1),(22,1),(41,1),(42,1)}
       31:{1,3,4,5}:{(22,1),(43,1),(45,1)}
       32:{2,3,4,5}:{(22,1),(44,1),(45,1)}
       33:{1,3,5,6,7}:{(23,1),(39,1),(46,1),(66,1),(73,1)}
       34:{1,4,5,7}:{(23,1),(24,1),(46,1),(47,1)}
       35:{3,4,5,6}:{(24,1),(41,1),(47,1),(48,1)}
       36:{2,3,5,6,7}:{(25,1),(39,1),(49,1),(66,1),(75,1)}
       37:{2,4,5,7}:{(25,1),(26,1),(49,1),(50,1)}
       38:{3,4,5,6}:{(26,1),(41,1),(50,1),(51,1)}
       39:{1,2,5,6,7}:{(27,1),(33,1),(36,1),(52,1),(81,1),(82,1)}
       40:{1,2,4,5,7}:{(27,1),(28,1),(29,1),(34,1),(37,1),(52,1),(53,1),(62,1),(65,1),(79,1)}
       41:{3,5,6}:{(28,1),(30,1),(53,1)}
       42:{3,4,7}:{(29,1),(30,1),(53,1)}
       43:{1,3,4,6}:{(30,1),(31,1),(54,1),(56,1),(58,1)}
       44:{2,3,4,6}:{(30,1),(32,1),(55,1),(57,1),(58,1)}
       45:{1,2,4,5}:{(31,1),(32,1),(58,1),(59,1)}
       46:{1,4,6,7}:{(33,1),(34,1),(61,1)}
       47:{3,4,5,7}:{(34,1),(35,1),(53,1),(61,1),(62,1)}
       48:{2,4,5,6}:{(35,1),(55,1),(62,1)}
       49:{2,4,6,7}:{(36,1),(37,1),(64,1)}
       50:{3,4,5,7}:{(37,1),(38,1),(53,1),(64,1),(65,1)}
       51:{1,4,5,6}:{(38,1),(54,1),(65,1)}
       52:{1,2,4,6,7}:{(39,1),(40,1),(46,1),(49,1),(66,1),(74,1),(76,1),(83,1)}
       53:{3,5,7}:{(40,1),(41,1),(42,1),(66,1)}
       54:{1,3,5,6}:{(41,1),(43,1),(51,1),(67,1),(69,1)}
       55:{2,3,5,6}:{(41,1),(44,1),(48,1),(68,1),(69,1)}
       56:{1,3,4,7}:{(42,1),(43,1),(67,1),(70,1)}
       57:{2,3,4,7}:{(42,1),(44,1),(68,1),(70,1)}
       58:{1,2,4,6}:{(43,1),(44,1),(45,1),(69,1),(70,1),(71,1)}
       59:{1,2,3,5}:{(45,1),(71,1),(72,1)}
       60:{1,4,5,6,7}:{(46,1),(73,1)}
       61:{3,4,6,7}:{(46,1),(47,1),(66,1),(73,1),(74,1)}
       62:{2,4,5,7}:{(47,1),(48,1),(68,1),(74,1)}
       63:{2,4,5,6,7}:{(49,1),(75,1)}
       64:{3,4,6,7}:{(49,1),(50,1),(66,1),(75,1),(76,1)}
       65:{1,4,5,7}:{(50,1),(51,1),(67,1),(76,1)}
       66:{3,6,7}:{(52,1),(53,1)}
       67:{1,3,5,7}:{(53,1),(54,1),(56,1),(65,1),(77,1),(79,1)}
       68:{2,3,5,7}:{(53,1),(55,1),(57,1),(62,1),(78,1),(79,1)}
       69:{1,2,5,6}:{(54,1),(55,1),(58,1),(79,1)}
       70:{1,2,4,7}:{(56,1),(57,1),(58,1),(79,1),(80,1)}
       71:{1,2,3,6}:{(58,1),(59,1),(80,1)}
       72:{1,2,3,4}:{(59,1)}
       73:{3,5,6,7}:{(60,1),(61,1),(81,1)}
       74:{2,4,6,7}:{(61,1),(62,1),(78,1),(81,1)}
       75:{3,5,6,7}:{(63,1),(64,1),(82,1)}
       76:{1,4,6,7}:{(64,1),(65,1),(77,1),(82,1)}
       77:{1,3,6,7}:{(66,1),(67,1),(76,1),(83,1)}
       78:{2,3,6,7}:{(66,1),(68,1),(74,1),(83,1)}
       79:{1,2,5,7}:{(67,1),(68,1),(69,1),(70,1),(83,1)}
       80:{1,2,3,7}:{(70,1),(71,1)}
       81:{2,5,6,7}:{(73,1),(74,1)}
       82:{1,5,6,7}:{(75,1),(76,1)}
       83:{1,2,6,7}:{(77,1),(78,1),(79,1)}

1921 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(8,1),(20,1),(23,1),(24,1),(49,1)}
         2:{1,2,3,5}:{(0,1),(7,1),(8,1)}
         3:{1,3,4,5}:{(7,1),(9,1),(21,1)}
         4:{2,3,4,5}:{(7,1),(10,1),(21,1)}
         5:{1,2,3,4,7}:{(1,1),(12,1),(15,1),(39,1),(66,1)}
         6:{1,2,3,5}:{(1,1),(11,1)}
         7:{1,2,4,5}:{(2,1),(3,1),(4,1),(14,1)}
         8:{1,2,3,6}:{(2,1),(14,1),(15,1)}
         9:{1,3,4,6}:{(3,1),(14,1),(16,1),(17,1),(36,1)}
        10:{2,3,4,6}:{(4,1),(14,1),(18,1),(19,1),(36,1)}
        11:{1,2,4,5}:{(6,1),(21,1),(23,1)}
        12:{1,2,3,5,7}:{(5,1),(6,1),(22,1),(24,1)}
        13:{1,2,3,5,6}:{(6,1),(8,1),(23,1),(24,1),(25,1),(26,1),(49,1),(52,1),(56,1),(82,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(9,1),(10,1),(26,1),(27,1)}
        15:{1,2,3,7}:{(8,1),(27,1)}
        16:{1,3,5,6}:{(9,1),(26,1),(28,1),(29,1),(52,1)}
        17:{1,3,4,7}:{(9,1),(27,1),(29,1),(54,1)}
        18:{2,3,5,6}:{(10,1),(26,1),(30,1),(31,1),(52,1)}
        19:{2,3,4,7}:{(10,1),(27,1),(31,1),(54,1)}
        20:{1,2,3,4}:{(32,1)}
        21:{3,4,5}:{(11,1),(36,1)}
        22:{1,2,4,5,7}:{(11,1),(12,1),(35,1),(38,1),(39,1),(75,1)}
        23:{1,2,4,6}:{(11,1),(13,1),(36,1),(39,1)}
        24:{1,2,3,6}:{(12,1),(38,1)}
        25:{1,2,3,5,7}:{(13,1),(15,1),(39,1),(40,1),(41,1),(66,1),(71,1),(75,1),(94,1)}
        26:{1,2,5,6}:{(14,1),(16,1),(18,1),(41,1)}
        27:{1,2,4,7}:{(14,1),(15,1),(17,1),(19,1),(41,1)}
        28:{1,4,5,6}:{(16,1),(42,1),(43,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(41,1),(43,1),(44,1),(71,1)}
        30:{2,4,5,6}:{(18,1),(45,1),(46,1)}
        31:{2,3,5,7}:{(18,1),(19,1),(41,1),(46,1),(47,1),(71,1)}
        32:{1,2,3,5}:{(20,1),(48,1),(49,1)}
        33:{1,3,4,5}:{(21,1),(48,1),(50,1)}
        34:{2,3,4,5}:{(21,1),(48,1),(51,1)}
        35:{3,4,5,7}:{(21,1),(22,1),(53,1),(54,1),(88,1)}
        36:{3,4,6}:{(21,1),(23,1),(52,1),(54,1)}
        37:{1,2,4,5,6}:{(23,1),(26,1),(28,1),(30,1),(52,1),(55,1),(56,1),(59,1),(62,1),(82,1),(87,1)}
        38:{1,2,4,6}:{(22,1),(24,1),(53,1),(56,1)}
        39:{1,2,4,7}:{(23,1),(25,1),(54,1)}
        40:{1,2,3,6,7}:{(24,1),(25,1),(57,1),(58,1),(86,1),(103,1)}
        41:{1,2,5,7}:{(26,1),(27,1),(29,1),(31,1),(58,1)}
        42:{3,4,5,6}:{(28,1),(52,1),(59,1),(60,1),(87,1)}
        43:{1,4,5,7}:{(28,1),(29,1),(60,1),(61,1)}
        44:{1,3,6,7}:{(29,1),(58,1),(61,1),(86,1)}
        45:{3,4,5,6}:{(30,1),(52,1),(62,1),(63,1),(87,1)}
        46:{2,4,5,7}:{(30,1),(31,1),(63,1),(64,1)}
        47:{2,3,6,7}:{(31,1),(58,1),(64,1),(86,1)}
        48:{1,2,4,5}:{(32,1),(33,1),(34,1),(65,1)}
        49:{1,2,3,6}:{(32,1),(65,1),(66,1)}
        50:{1,3,4,6}:{(33,1),(36,1),(65,1),(67,1),(68,1)}
        51:{2,3,4,6}:{(34,1),(36,1),(65,1),(69,1),(70,1)}
        52:{3,5,6}:{(36,1),(37,1),(71,1)}
        53:{3,4,6}:{(35,1),(38,1),(72,1)}
        54:{3,4,7}:{(36,1),(39,1),(71,1)}
        55:{1,2,4,5,7}:{(37,1),(39,1),(41,1),(43,1),(46,1),(71,1),(74,1),(75,1),(76,1),(79,1),(94,1),(98,1)}
        56:{1,2,5,6}:{(38,1),(72,1),(75,1)}
        57:{1,2,4,6,7}:{(38,1),(39,1),(40,1),(73,1),(75,1)}
        58:{1,2,6,7}:{(41,1),(44,1),(47,1)}
        59:{2,4,5,6}:{(42,1),(69,1),(76,1)}
        60:{3,4,5,7}:{(42,1),(43,1),(71,1),(76,1),(77,1),(98,1)}
        61:{1,4,6,7}:{(43,1),(44,1),(77,1),(78,1)}
        62:{1,4,5,6}:{(45,1),(67,1),(79,1)}
        63:{3,4,5,7}:{(45,1),(46,1),(71,1),(79,1),(80,1),(98,1)}
        64:{2,4,6,7}:{(46,1),(47,1),(80,1),(81,1)}
        65:{1,2,4,6}:{(48,1),(49,1),(50,1),(51,1),(82,1),(83,1)}
        66:{1,2,3,7}:{(49,1),(83,1)}
        67:{1,3,5,6}:{(50,1),(52,1),(62,1),(82,1),(84,1)}
        68:{1,3,4,7}:{(50,1),(54,1),(83,1),(84,1)}
        69:{2,3,5,6}:{(51,1),(52,1),(59,1),(82,1),(85,1)}
        70:{2,3,4,7}:{(51,1),(54,1),(83,1),(85,1)}
        71:{3,5,7}:{(52,1),(54,1),(55,1),(86,1)}
        72:{3,5,6}:{(53,1),(56,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(53,1),(54,1),(57,1),(86,1),(88,1),(104,1)}
        74:{1,2,4,6,7}:{(55,1),(58,1),(61,1),(64,1),(86,1),(89,1),(90,1),(92,1),(103,1),(104,1)}
        75:{1,2,5,7}:{(56,1),(57,1),(88,1)}
        76:{2,4,5,7}:{(59,1),(60,1),(85,1),(90,1)}
        77:{3,4,6,7}:{(60,1),(61,1),(86,1),(90,1),(91,1),(104,1)}
        78:{1,5,6,7}:{(61,1),(91,1)}
        79:{1,4,5,7}:{(62,1),(63,1),(84,1),(92,1)}
        80:{3,4,6,7}:{(63,1),(64,1),(86,1),(92,1),(93,1),(104,1)}
        81:{2,5,6,7}:{(64,1),(93,1)}
        82:{1,2,5,6}:{(65,1),(67,1),(69,1),(94,1)}
        83:{1,2,4,7}:{(65,1),(66,1),(68,1),(70,1),(94,1)}
        84:{1,3,5,7}:{(67,1),(68,1),(71,1),(79,1),(94,1),(95,1)}
        85:{2,3,5,7}:{(69,1),(70,1),(71,1),(76,1),(94,1),(96,1)}
        86:{3,6,7}:{(71,1),(74,1)}
        87:{4,5,6}:{(72,1),(98,1)}
        88:{3,5,7}:{(72,1),(73,1),(75,1),(98,1)}
        89:{1,2,5,6,7}:{(74,1),(75,1),(78,1),(81,1),(97,1),(99,1),(101,1)}
        90:{2,4,6,7}:{(76,1),(77,1),(96,1),(99,1)}
        91:{3,5,6,7}:{(77,1),(78,1),(99,1),(100,1)}
        92:{1,4,6,7}:{(79,1),(80,1),(95,1),(101,1)}
        93:{3,5,6,7}:{(80,1),(81,1),(101,1),(102,1)}
        94:{1,2,5,7}:{(82,1),(83,1),(84,1),(85,1),(103,1)}
        95:{1,3,6,7}:{(84,1),(86,1),(92,1),(103,1)}
        96:{2,3,6,7}:{(85,1),(86,1),(90,1),(103,1)}
        97:{3,5,6,7}:{(86,1),(88,1),(89,1),(104,1)}
        98:{4,5,7}:{(87,1),(88,1),(104,1)}
        99:{2,5,6,7}:{(90,1),(91,1)}
       100:{4,5,6,7}:{(91,1),(104,1)}
       101:{1,5,6,7}:{(92,1),(93,1)}
       102:{4,5,6,7}:{(93,1),(104,1)}
       103:{1,2,6,7}:{(94,1),(95,1),(96,1)}
       104:{4,6,7}:{(97,1),(98,1)}

1922 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(65,1),(72,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(53,1),(60,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(58,1),(61,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(48,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(45,1),(49,1)}
         5:{1,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(30,1),(54,1),(58,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(36,1),(76,1)}
         8:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(36,1),(53,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(37,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{1,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(42,1),(45,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(24,1),(87,1)}
        15:{2,4,5,6,7}:{(7,1),(8,1),(64,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(45,1)}
        17:{1,3,6,7}:{(9,1),(10,1)}
        18:{1,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{1,3,4,5}:{(11,1),(23,1)}
        20:{2,3,4,6}:{(13,1),(29,1),(30,1),(54,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(33,1),(54,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(29,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(30,1)}
        24:{1,3,5,6,7}:{(14,1),(31,1),(35,1),(36,1),(80,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(35,1),(36,1),(37,1),(57,1),(59,1)}
        26:{1,3,5,6,7}:{(16,1),(17,1),(36,1),(37,1),(38,1)}
        27:{1,3,4,6,7}:{(17,1),(18,1),(33,1),(37,1),(38,1),(39,1),(56,1)}
        28:{1,3,4,5,7}:{(18,1),(19,1),(34,1),(38,1),(39,1),(76,1)}
        29:{2,3,4,7}:{(20,1),(22,1),(42,1)}
        30:{2,3,5}:{(20,1),(23,1)}
        31:{1,3,4,6,7}:{(24,1),(40,1),(43,1),(48,1)}
        32:{1,2,3,5,6,7}:{(21,1),(26,1),(44,1),(45,1),(47,1),(65,1),(66,1),(69,1),(89,1),(91,1)}
        33:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(41,1),(45,1),(46,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(42,1),(45,1),(46,1),(64,1)}
        35:{1,2,5,6,7}:{(24,1),(43,1),(47,1),(89,1)}
        36:{3,5,6,7}:{(25,1),(48,1),(69,1)}
        37:{1,4,6,7}:{(26,1),(48,1),(49,1)}
        38:{1,3,5,7}:{(27,1),(45,1),(49,1),(50,1),(69,1)}
        39:{1,3,4,6}:{(28,1),(46,1),(50,1),(88,1)}
        40:{1,3,4,5,7}:{(31,1),(51,1),(52,1),(60,1),(80,1),(94,1)}
        41:{2,3,4,6,7}:{(29,1),(33,1),(53,1),(54,1),(56,1),(77,1)}
        42:{2,3,5,7}:{(29,1),(30,1),(34,1),(54,1)}
        43:{1,2,4,6,7}:{(31,1),(35,1),(52,1),(55,1),(59,1)}
        44:{1,2,4,6,7}:{(32,1),(37,1),(56,1),(57,1),(59,1),(77,1),(97,1)}
        45:{1,2,5,7}:{(33,1),(38,1),(53,1),(58,1)}
        46:{1,2,4,6}:{(34,1),(39,1),(54,1),(58,1),(77,1)}
        47:{2,3,5,6,7}:{(35,1),(36,1),(55,1),(59,1),(79,1)}
        48:{3,4,6,7}:{(36,1),(37,1),(59,1),(60,1)}
        49:{1,4,5,7}:{(37,1),(38,1),(60,1),(61,1)}
        50:{1,3,5,6}:{(38,1),(39,1),(58,1),(61,1),(81,1)}
        51:{1,3,4,5,6}:{(40,1),(62,1),(72,1),(91,1),(99,1)}
        52:{1,2,4,5,7}:{(40,1),(43,1),(62,1),(63,1),(71,1),(85,1),(89,1)}
        53:{2,3,5,7}:{(41,1),(45,1),(64,1),(65,1),(69,1)}
        54:{2,3,6}:{(42,1),(46,1)}
        55:{2,3,6,7}:{(43,1),(63,1)}
        56:{3,4,6,7}:{(44,1),(69,1),(88,1)}
        57:{1,2,4,5,7}:{(44,1),(45,1),(49,1),(64,1),(69,1),(70,1),(71,1),(87,1),(89,1)}
        58:{1,2,5,6}:{(45,1),(46,1),(50,1),(65,1)}
        59:{2,4,6,7}:{(47,1),(48,1),(71,1)}
        60:{3,4,5,7}:{(48,1),(49,1),(69,1),(71,1),(72,1)}
        61:{1,4,5,6}:{(49,1),(50,1),(72,1)}
        62:{1,2,4,5,6}:{(51,1),(52,1),(73,1),(82,1),(92,1),(98,1)}
        63:{2,3,5,7}:{(52,1),(55,1),(73,1),(75,1)}
        64:{2,4,5,7}:{(53,1),(76,1),(77,1)}
        65:{2,3,5,6}:{(53,1),(54,1),(58,1),(77,1),(81,1)}
        66:{1,2,3,6,7}:{(55,1),(74,1),(78,1),(104,1)}
        67:{2,3,4,6,7}:{(55,1),(56,1),(59,1),(75,1),(78,1),(79,1),(96,1)}
        68:{1,3,4,6,7}:{(56,1),(78,1),(80,1),(94,1),(97,1),(104,1)}
        69:{3,5,7}:{(56,1),(57,1),(81,1)}
        70:{1,2,4,5,6}:{(57,1),(58,1),(61,1),(77,1),(81,1),(82,1),(97,1),(98,1)}
        71:{2,4,5,7}:{(59,1),(60,1),(79,1),(82,1)}
        72:{3,4,5,6}:{(60,1),(61,1),(81,1),(82,1)}
        73:{2,3,5,6}:{(62,1),(63,1),(84,1)}
        74:{1,2,3,5,7}:{(63,1),(66,1),(83,1),(85,1),(89,1),(101,1)}
        75:{2,3,4,7}:{(63,1),(84,1),(85,1)}
        76:{3,4,5,7}:{(64,1),(69,1),(87,1),(88,1)}
        77:{2,4,6}:{(64,1),(65,1),(88,1)}
        78:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(85,1),(89,1),(102,1)}
        79:{2,3,5,7}:{(67,1),(69,1),(71,1),(89,1),(90,1)}
        80:{1,3,5,7}:{(68,1),(69,1),(87,1),(89,1),(91,1)}
        81:{3,5,6}:{(69,1),(70,1),(88,1)}
        82:{2,4,5,6}:{(71,1),(72,1),(90,1)}
        83:{1,2,3,5,6}:{(73,1),(74,1),(92,1),(98,1),(103,1),(104,1)}
        84:{2,3,4,6}:{(73,1),(75,1),(92,1),(93,1)}
        85:{1,2,4,7}:{(74,1),(75,1),(92,1),(94,1)}
        86:{2,3,4,5,7}:{(75,1),(76,1),(79,1),(93,1),(95,1),(96,1)}
        87:{1,4,5,7}:{(76,1),(80,1),(97,1)}
        88:{3,4,6}:{(76,1),(77,1),(81,1),(97,1)}
        89:{1,2,5,7}:{(78,1),(79,1),(80,1),(98,1)}
        90:{2,3,5,6}:{(79,1),(81,1),(82,1),(96,1),(98,1)}
        91:{1,3,5,6}:{(80,1),(81,1),(97,1),(98,1),(104,1)}
        92:{1,2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        93:{2,3,4,5}:{(84,1),(100,1)}
        94:{1,3,4,7}:{(85,1),(99,1),(101,1)}
        95:{1,2,4,5,7}:{(85,1),(86,1),(87,1),(89,1),(100,1),(101,1),(102,1)}
        96:{2,3,4,6}:{(86,1),(88,1),(90,1),(102,1)}
        97:{1,4,6}:{(87,1),(88,1),(91,1)}
        98:{1,2,5,6}:{(89,1),(90,1),(91,1),(102,1)}
        99:{1,3,4,6}:{(92,1),(94,1),(103,1),(104,1)}
       100:{1,2,4,5}:{(92,1),(93,1),(103,1)}
       101:{1,3,5,7}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       103:{1,3,5}:{(99,1),(100,1)}
       104:{1,3,6}:{(101,1),(102,1)}

1923 :   0:{1,2,3,5,6,7}:{(2,1),(12,1),(18,1),(46,1),(47,1),(48,1),(49,1),(56,1),(58,1),(102,1),(103,1),(107,1),(138,1),(147,1),(165,1)}
         1:{1,2,4,5,6,7}:{(3,1),(11,1),(16,1),(17,1),(18,1),(55,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(69,1),(70,1),(84,1),(128,1),(131,1),(156,1),(172,1)}
         3:{3,5,6,7}:{(1,1),(6,1),(26,1),(82,1)}
         4:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(43,1),(44,1),(48,1),(149,1)}
         5:{3,4,6,7}:{(2,1),(12,1),(42,1),(56,1),(109,1),(147,1),(148,1),(167,1)}
         6:{3,4,6,7}:{(3,1),(15,1),(16,1),(17,1),(42,1),(56,1),(109,1)}
         7:{1,3,5,6,7}:{(3,1),(16,1),(18,1),(46,1),(51,1),(56,1),(58,1)}
         8:{2,3,5,6,7}:{(3,1),(17,1),(18,1),(19,1),(47,1),(56,1),(107,1)}
         9:{2,3,4,6,7}:{(17,1),(19,1),(20,1),(21,1),(56,1),(109,1)}
        10:{2,3,4,5,7}:{(19,1),(21,1),(22,1),(44,1),(93,1),(101,1),(109,1),(140,1),(151,1)}
        11:{1,2,4,5,6}:{(4,1),(26,1),(69,1),(70,1),(74,1)}
        12:{3,5,7}:{(4,1),(5,1),(26,1),(163,1)}
        13:{1,3,4,6,7}:{(5,1),(27,1),(29,1),(37,1),(69,1),(84,1),(85,1),(126,1),(127,1),(160,1),(161,1),(172,1)}
        14:{2,3,4,6,7}:{(5,1),(28,1),(29,1),(70,1),(80,1),(118,1),(119,1),(126,1),(127,1),(131,1),(156,1),(162,1)}
        15:{3,4,5,7}:{(6,1),(31,1),(32,1),(33,1),(82,1)}
        16:{1,4,6,7}:{(6,1),(7,1),(32,1),(69,1),(84,1)}
        17:{2,4,6,7}:{(6,1),(8,1),(33,1),(70,1),(131,1)}
        18:{1,2,5,6,7}:{(7,1),(8,1),(34,1),(36,1),(74,1),(79,1)}
        19:{2,3,5,7}:{(9,1),(33,1),(35,1),(36,1),(82,1)}
        20:{1,2,4,6,7}:{(9,1),(36,1),(37,1),(38,1),(84,1)}
        21:{2,3,4,6}:{(10,1),(35,1),(38,1),(70,1),(126,1),(132,1)}
        22:{1,2,4,5,7}:{(10,1),(36,1),(38,1),(39,1),(77,1),(84,1),(129,1),(133,1)}
        23:{1,3,4,5,7}:{(40,1),(41,1),(43,1),(60,1),(89,1),(101,1),(111,1),(167,1),(168,1)}
        24:{3,4,5,7}:{(12,1),(42,1),(43,1),(44,1),(101,1),(109,1),(151,1),(167,1),(168,1)}
        25:{1,2,4,5,6,7}:{(11,1),(45,1),(98,1),(99,1),(102,1),(136,1)}
        26:{3,5,6}:{(11,1),(12,1),(42,1)}
        27:{1,3,5,7}:{(12,1),(13,1),(43,1),(46,1),(48,1),(101,1),(111,1),(170,1)}
        28:{2,3,5,7}:{(12,1),(14,1),(44,1),(47,1),(48,1),(101,1),(140,1),(171,1)}
        29:{1,2,4,6,7}:{(13,1),(14,1),(48,1),(49,1),(100,1),(104,1),(105,1),(169,1)}
        30:{1,3,4,6,7}:{(16,1),(51,1),(52,1),(56,1),(96,1),(109,1)}
        31:{3,4,5,6}:{(15,1),(42,1),(53,1),(54,1),(108,1),(168,1)}
        32:{1,4,5,7}:{(15,1),(16,1),(51,1),(53,1)}
        33:{2,4,5,7}:{(15,1),(17,1),(19,1),(54,1)}
        34:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(55,1),(56,1),(100,1)}
        35:{2,3,5,6}:{(19,1),(21,1),(54,1),(57,1),(108,1),(140,1)}
        36:{1,2,5,7}:{(19,1),(20,1),(57,1),(58,1)}
        37:{1,3,6,7}:{(20,1),(56,1),(58,1),(59,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(57,1),(59,1),(110,1)}
        39:{1,3,5,7}:{(22,1),(59,1),(60,1),(101,1),(111,1)}
        40:{1,3,4,6}:{(23,1),(62,1),(64,1),(69,1),(126,1),(155,1)}
        41:{1,2,4,5,7}:{(23,1),(64,1),(65,1),(77,1),(116,1),(129,1),(156,1),(157,1)}
        42:{3,4,6}:{(24,1),(26,1),(69,1),(70,1),(126,1)}
        43:{1,4,5,7}:{(24,1),(27,1),(69,1),(84,1),(133,1),(172,1),(173,1)}
        44:{2,4,5,7}:{(24,1),(28,1),(70,1),(131,1),(156,1),(157,1),(164,1)}
        45:{3,5,6,7}:{(25,1),(26,1),(68,1),(154,1)}
        46:{1,3,5,6}:{(26,1),(27,1),(69,1),(74,1),(126,1)}
        47:{2,3,5,6}:{(26,1),(28,1),(70,1),(74,1),(126,1)}
        48:{1,2,5,7}:{(27,1),(28,1),(29,1),(74,1),(129,1),(174,1)}
        49:{1,2,3,6,7}:{(29,1),(37,1),(75,1),(76,1),(80,1),(118,1),(126,1),(158,1),(160,1)}
        50:{1,2,3,5,7}:{(39,1),(65,1),(76,1),(77,1),(129,1)}
        51:{1,3,5,7}:{(30,1),(32,1),(78,1),(79,1),(82,1)}
        52:{1,2,4,6,7}:{(30,1),(79,1),(80,1),(123,1),(131,1)}
        53:{1,4,5,6}:{(31,1),(32,1),(69,1),(78,1),(173,1)}
        54:{2,4,5,6}:{(31,1),(33,1),(35,1),(70,1),(157,1)}
        55:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(36,1),(79,1),(81,1),(82,1),(84,1),(131,1)}
        56:{3,6,7}:{(34,1),(82,1),(126,1)}
        57:{1,2,5,6}:{(35,1),(36,1),(38,1),(83,1),(129,1)}
        58:{1,3,5,7}:{(36,1),(37,1),(82,1),(83,1),(84,1)}
        59:{1,3,6}:{(38,1),(39,1),(126,1)}
        60:{1,3,4,7}:{(39,1),(77,1),(84,1),(85,1),(127,1)}
        61:{3,4,5,6}:{(42,1),(86,1),(87,1),(88,1),(137,1),(151,1)}
        62:{1,3,5,6}:{(40,1),(87,1),(89,1),(90,1),(111,1),(137,1)}
        63:{1,3,4,6,7}:{(40,1),(89,1),(91,1),(98,1),(147,1),(167,1)}
        64:{1,2,4,6}:{(40,1),(41,1),(90,1),(92,1),(139,1)}
        65:{2,3,5,7}:{(41,1),(92,1),(93,1),(101,1),(140,1)}
        66:{2,3,4,5,7}:{(44,1),(94,1),(95,1),(101,1),(134,1),(146,1),(167,1),(168,1),(171,1)}
        67:{1,3,4,5,7}:{(43,1),(51,1),(96,1),(97,1),(101,1),(109,1),(144,1),(151,1),(170,1)}
        68:{3,4,6,7}:{(42,1),(45,1),(86,1),(98,1),(99,1),(147,1),(167,1)}
        69:{1,4,6}:{(42,1),(43,1),(46,1)}
        70:{2,4,6}:{(42,1),(44,1),(47,1)}
        71:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(100,1),(101,1),(104,1),(149,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(89,1),(98,1),(102,1),(147,1),(165,1)}
        73:{2,3,5,6,7}:{(45,1),(47,1),(99,1),(102,1),(134,1),(138,1),(147,1)}
        74:{1,2,5,6}:{(46,1),(47,1),(48,1),(100,1)}
        75:{1,2,3,5,7}:{(48,1),(49,1),(58,1),(101,1),(103,1),(104,1),(107,1),(138,1),(165,1)}
        76:{1,2,3,6}:{(50,1),(59,1),(92,1),(105,1)}
        77:{1,2,4,7}:{(50,1),(60,1),(93,1),(105,1)}
        78:{1,3,5,6}:{(51,1),(53,1),(96,1),(106,1),(108,1),(170,1)}
        79:{1,2,5,7}:{(51,1),(52,1),(106,1),(107,1)}
        80:{2,3,6,7}:{(52,1),(56,1),(107,1),(145,1)}
        81:{1,2,4,5,6}:{(53,1),(54,1),(55,1),(57,1),(100,1),(106,1),(108,1),(110,1),(149,1),(150,1)}
        82:{3,5,7}:{(55,1),(56,1),(108,1),(109,1)}
        83:{1,3,5,6}:{(57,1),(58,1),(59,1),(108,1),(110,1),(111,1)}
        84:{1,4,7}:{(58,1),(109,1),(110,1)}
        85:{1,3,4,6}:{(59,1),(60,1),(105,1),(110,1),(111,1),(148,1)}
        86:{3,4,5,7}:{(61,1),(68,1),(113,1),(114,1),(154,1)}
        87:{1,4,5,6}:{(61,1),(62,1),(69,1),(113,1),(133,1)}
        88:{2,4,5,6}:{(61,1),(70,1),(112,1),(114,1),(164,1)}
        89:{1,3,5,7}:{(62,1),(63,1),(113,1),(116,1),(154,1)}
        90:{1,2,5,6}:{(62,1),(64,1),(116,1),(117,1),(129,1)}
        91:{1,2,4,6,7}:{(63,1),(64,1),(116,1),(118,1),(156,1)}
        92:{2,3,6}:{(64,1),(65,1),(126,1)}
        93:{2,3,4,7}:{(65,1),(77,1),(119,1),(127,1),(156,1)}
        94:{2,3,4,6}:{(66,1),(70,1),(112,1),(121,1),(126,1),(155,1)}
        95:{1,2,4,5,7}:{(66,1),(121,1),(122,1),(152,1),(159,1),(172,1),(173,1),(174,1)}
        96:{1,3,4,6}:{(67,1),(69,1),(78,1),(123,1),(126,1),(132,1)}
        97:{1,2,4,5,7}:{(67,1),(79,1),(123,1),(124,1),(131,1),(159,1),(164,1),(174,1)}
        98:{1,4,6,7}:{(68,1),(69,1),(72,1),(113,1),(172,1)}
        99:{2,4,6,7}:{(68,1),(70,1),(73,1),(114,1),(156,1)}
       100:{1,2,4,6}:{(69,1),(70,1),(71,1),(74,1),(126,1)}
       101:{3,5,7}:{(71,1),(126,1),(127,1),(163,1)}
       102:{1,2,5,6,7}:{(72,1),(73,1),(74,1),(116,1),(125,1),(152,1)}
       103:{1,2,3,5,6}:{(74,1),(75,1),(76,1),(83,1),(117,1),(126,1),(128,1),(129,1),(130,1),(153,1),(158,1),(163,1),(174,1)}
       104:{1,2,4,7}:{(75,1),(84,1),(127,1),(128,1),(131,1),(156,1),(172,1)}
       105:{1,2,4,6}:{(76,1),(77,1),(85,1),(119,1),(129,1)}
       106:{1,2,5,6}:{(78,1),(79,1),(123,1),(130,1),(174,1)}
       107:{2,3,5,7}:{(79,1),(80,1),(82,1),(130,1),(131,1)}
       108:{3,5,6}:{(81,1),(82,1),(126,1),(132,1),(163,1)}
       109:{3,4,7}:{(82,1),(84,1),(131,1),(132,1)}
       110:{1,4,6}:{(83,1),(84,1),(132,1),(133,1)}
       111:{1,3,5}:{(85,1),(129,1),(133,1),(163,1)}
       112:{2,3,5,6}:{(88,1),(94,1),(134,1),(135,1),(137,1),(171,1)}
       113:{1,4,5,7}:{(86,1),(87,1),(89,1),(98,1)}
       114:{2,4,5,7}:{(86,1),(88,1),(99,1),(134,1)}
       115:{1,2,4,5,6}:{(87,1),(88,1),(90,1),(100,1),(135,1),(136,1),(137,1),(139,1),(149,1),(166,1)}
       116:{1,2,5,7}:{(89,1),(90,1),(91,1),(138,1)}
       117:{2,3,5,6}:{(90,1),(92,1),(137,1),(138,1),(139,1),(140,1)}
       118:{2,3,6,7}:{(91,1),(92,1),(138,1),(147,1)}
       119:{2,3,4,6}:{(92,1),(93,1),(105,1),(139,1),(140,1),(148,1)}
       120:{2,3,4,6,7}:{(94,1),(99,1),(134,1),(142,1),(147,1),(167,1)}
       121:{1,2,4,6}:{(94,1),(95,1),(135,1),(143,1),(166,1)}
       122:{1,3,5,7}:{(95,1),(101,1),(143,1),(144,1),(170,1)}
       123:{1,2,4,6}:{(96,1),(97,1),(106,1),(145,1),(150,1)}
       124:{2,3,5,7}:{(97,1),(101,1),(145,1),(146,1),(171,1)}
       125:{1,2,4,6,7}:{(98,1),(99,1),(100,1),(102,1),(136,1),(147,1)}
       126:{3,6}:{(100,1),(101,1)}
       127:{3,4,7}:{(101,1),(104,1),(148,1)}
       128:{1,2,4,6}:{(103,1),(104,1),(110,1),(139,1),(148,1),(149,1),(150,1),(166,1)}
       129:{1,2,5}:{(105,1),(111,1),(140,1)}
       130:{2,3,5,6}:{(106,1),(107,1),(108,1),(145,1),(150,1),(171,1)}
       131:{2,4,7}:{(107,1),(109,1),(150,1)}
       132:{3,4,6}:{(108,1),(109,1),(110,1),(150,1),(151,1)}
       133:{1,4,5}:{(110,1),(111,1),(151,1)}
       134:{2,3,5,7}:{(112,1),(114,1),(120,1),(152,1),(154,1)}
       135:{1,2,5,6}:{(112,1),(121,1),(152,1),(153,1),(174,1)}
       136:{1,2,4,5,7}:{(113,1),(114,1),(115,1),(116,1),(125,1),(152,1),(154,1),(156,1),(172,1)}
       137:{3,5,6}:{(115,1),(126,1),(154,1),(155,1),(163,1)}
       138:{2,3,5,7}:{(116,1),(117,1),(118,1),(154,1),(156,1)}
       139:{2,4,6}:{(117,1),(155,1),(156,1),(157,1)}
       140:{2,3,5}:{(119,1),(129,1),(157,1),(163,1)}
       141:{1,2,3,5,7}:{(122,1),(124,1),(158,1),(159,1),(174,1)}
       142:{1,2,4,6,7}:{(120,1),(121,1),(152,1),(160,1),(172,1)}
       143:{1,3,6}:{(121,1),(122,1),(126,1)}
       144:{1,3,4,7}:{(122,1),(127,1),(159,1),(161,1),(172,1)}
       145:{2,3,6}:{(123,1),(124,1),(126,1)}
       146:{2,3,4,7}:{(124,1),(127,1),(131,1),(159,1),(162,1)}
       147:{3,6,7}:{(125,1),(126,1),(154,1)}
       148:{3,4,6}:{(126,1),(127,1),(128,1),(163,1)}
       149:{1,2,4,5}:{(128,1),(129,1),(133,1),(157,1),(163,1),(164,1),(173,1),(174,1)}
       150:{2,4,6}:{(130,1),(131,1),(132,1),(164,1)}
       151:{3,4,5}:{(132,1),(133,1),(163,1),(164,1)}
       152:{1,2,5,7}:{(134,1),(135,1),(142,1),(165,1)}
       153:{1,3,5,6}:{(135,1),(137,1),(143,1),(165,1),(166,1),(170,1)}
       154:{3,5,7}:{(136,1),(137,1),(147,1),(167,1)}
       155:{3,4,6}:{(137,1),(139,1),(166,1),(167,1),(168,1)}
       156:{2,4,7}:{(138,1),(139,1),(167,1)}
       157:{2,4,5}:{(139,1),(140,1),(168,1)}
       158:{1,2,3,6}:{(141,1),(143,1),(145,1),(169,1)}
       159:{1,2,4,7}:{(141,1),(144,1),(146,1),(169,1)}
       160:{1,3,6,7}:{(142,1),(143,1),(147,1),(165,1)}
       161:{1,3,4,6}:{(143,1),(144,1),(148,1),(166,1),(169,1),(170,1)}
       162:{2,3,4,6}:{(145,1),(146,1),(148,1),(150,1),(169,1),(171,1)}
       163:{3,5}:{(148,1),(149,1)}
       164:{2,4,5}:{(150,1),(151,1),(171,1)}
       165:{1,3,5,7}:{(152,1),(153,1),(154,1),(160,1),(172,1)}
       166:{1,4,6}:{(153,1),(155,1),(172,1),(173,1)}
       167:{3,4,7}:{(154,1),(155,1),(156,1),(172,1)}
       168:{3,4,5}:{(155,1),(157,1),(163,1),(173,1)}
       169:{1,2,4,6}:{(158,1),(159,1),(161,1),(162,1),(174,1)}
       170:{1,3,5}:{(161,1),(163,1),(173,1),(174,1)}
       171:{2,3,5}:{(162,1),(163,1),(164,1),(174,1)}
       172:{1,4,7}:{(165,1),(166,1),(167,1)}
       173:{1,4,5}:{(166,1),(168,1),(170,1)}
       174:{1,2,5}:{(169,1),(170,1),(171,1)}

1924 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(57,1),(63,1)}
         1:{1,2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(49,1),(52,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(28,1),(48,1),(53,1)}
         3:{1,3,5,6}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(40,1),(43,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(44,1)}
         6:{1,2,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(47,1),(49,1)}
         7:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,2,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(34,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(35,1),(48,1)}
        11:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
        12:{1,2,3,5,7}:{(6,1),(8,1),(20,1),(21,1),(37,1),(40,1)}
        13:{1,3,4,5}:{(7,1),(19,1)}
        14:{1,3,4,7}:{(7,1),(8,1),(20,1)}
        15:{1,3,6,7}:{(8,1),(9,1)}
        16:{1,2,5,6,7}:{(9,1),(10,1),(24,1),(40,1)}
        17:{2,4,5,6,7}:{(10,1),(26,1),(58,1)}
        18:{2,3,4,6}:{(11,1),(27,1),(28,1),(47,1)}
        19:{1,2,4,5}:{(11,1),(13,1),(27,1)}
        20:{1,2,4,7}:{(11,1),(12,1),(14,1),(28,1)}
        21:{1,2,3,6,7}:{(12,1),(15,1),(30,1),(47,1)}
        22:{1,3,4,5,7}:{(13,1),(14,1),(29,1),(32,1),(33,1),(68,1)}
        23:{1,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1),(51,1)}
        24:{1,3,5,6,7}:{(15,1),(16,1),(33,1),(34,1),(35,1)}
        25:{1,2,4,5,6,7}:{(16,1),(17,1),(34,1),(35,1),(36,1),(50,1),(55,1),(56,1)}
        26:{3,4,5,6,7}:{(17,1),(35,1),(36,1),(68,1)}
        27:{2,3,5}:{(18,1),(19,1)}
        28:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(39,1),(40,1),(58,1)}
        30:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(39,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(24,1),(40,1),(41,1),(46,1),(57,1),(60,1),(80,1),(82,1),(83,1)}
        32:{1,3,4,6}:{(22,1),(39,1),(42,1),(77,1)}
        33:{1,3,5,7}:{(23,1),(40,1),(42,1),(43,1),(60,1)}
        34:{1,4,6,7}:{(24,1),(43,1),(44,1)}
        35:{3,5,6,7}:{(25,1),(44,1),(60,1)}
        36:{1,4,5,6,7}:{(26,1),(45,1),(78,1)}
        37:{2,3,5,7}:{(27,1),(28,1),(29,1),(47,1)}
        38:{2,3,4,6,7}:{(28,1),(30,1),(47,1),(48,1),(51,1),(67,1)}
        39:{1,2,4,6}:{(29,1),(32,1),(47,1),(49,1),(67,1)}
        40:{1,2,5,7}:{(30,1),(33,1),(48,1),(49,1)}
        41:{1,2,4,6,7}:{(31,1),(34,1),(50,1),(51,1),(55,1),(67,1),(86,1)}
        42:{1,3,5,6}:{(32,1),(33,1),(49,1),(52,1),(69,1)}
        43:{1,4,5,7}:{(33,1),(34,1),(52,1),(53,1)}
        44:{3,4,6,7}:{(34,1),(35,1),(53,1),(55,1)}
        45:{1,3,5,6,7}:{(35,1),(36,1),(54,1),(56,1),(70,1)}
        46:{2,3,5,6,7}:{(35,1),(55,1),(56,1),(71,1),(76,1)}
        47:{2,3,6}:{(37,1),(39,1)}
        48:{2,3,5,7}:{(38,1),(40,1),(57,1),(58,1),(60,1)}
        49:{1,2,5,6}:{(39,1),(40,1),(42,1),(57,1)}
        50:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(58,1),(59,1),(60,1),(65,1),(78,1),(82,1)}
        51:{3,4,6,7}:{(41,1),(60,1),(77,1)}
        52:{1,4,5,6}:{(42,1),(43,1),(63,1)}
        53:{3,4,5,7}:{(43,1),(44,1),(60,1),(63,1),(65,1)}
        54:{1,3,4,6,7}:{(44,1),(45,1),(64,1),(66,1)}
        55:{2,4,6,7}:{(44,1),(46,1),(65,1)}
        56:{1,2,5,6,7}:{(45,1),(46,1),(66,1),(82,1)}
        57:{2,3,5,6}:{(47,1),(48,1),(49,1),(67,1),(69,1)}
        58:{2,4,5,7}:{(48,1),(67,1),(68,1)}
        59:{1,2,4,5,6}:{(49,1),(50,1),(52,1),(67,1),(69,1),(74,1),(86,1),(89,1)}
        60:{3,5,7}:{(50,1),(51,1),(69,1)}
        61:{1,3,4,6,7}:{(51,1),(70,1),(72,1),(86,1),(98,1),(99,1)}
        62:{2,3,4,6,7}:{(51,1),(55,1),(71,1),(72,1),(76,1),(87,1),(92,1)}
        63:{3,4,5,6}:{(52,1),(53,1),(69,1),(74,1)}
        64:{1,3,4,5,7}:{(53,1),(54,1),(70,1),(73,1),(75,1),(99,1)}
        65:{2,4,5,7}:{(53,1),(55,1),(71,1),(74,1)}
        66:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(75,1),(76,1)}
        67:{2,4,6}:{(57,1),(58,1),(77,1)}
        68:{3,4,5,7}:{(58,1),(60,1),(77,1),(78,1)}
        69:{3,5,6}:{(59,1),(60,1),(77,1)}
        70:{1,3,5,7}:{(60,1),(61,1),(78,1),(80,1),(82,1)}
        71:{2,3,5,7}:{(60,1),(62,1),(65,1),(81,1),(82,1)}
        72:{1,2,4,6,7}:{(61,1),(62,1),(82,1),(83,1),(93,1),(96,1)}
        73:{1,3,4,5,6}:{(63,1),(64,1),(80,1),(84,1),(102,1)}
        74:{2,4,5,6}:{(63,1),(65,1),(81,1)}
        75:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(82,1),(84,1),(85,1),(96,1)}
        76:{2,3,6,7}:{(66,1),(85,1)}
        77:{3,4,6}:{(67,1),(68,1),(69,1),(86,1)}
        78:{1,4,5,7}:{(68,1),(70,1),(86,1)}
        79:{2,3,4,5,7}:{(68,1),(71,1),(87,1),(88,1),(92,1),(101,1)}
        80:{1,3,5,6}:{(69,1),(70,1),(86,1),(89,1),(98,1)}
        81:{2,3,5,6}:{(69,1),(71,1),(74,1),(87,1),(89,1)}
        82:{1,2,5,7}:{(70,1),(71,1),(72,1),(89,1)}
        83:{1,2,3,6,7}:{(72,1),(76,1),(90,1),(98,1)}
        84:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(89,1),(91,1),(100,1)}
        85:{2,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,4,6}:{(77,1),(78,1),(80,1)}
        87:{2,3,4,6}:{(77,1),(79,1),(81,1),(93,1)}
        88:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(93,1),(94,1),(96,1),(103,1)}
        89:{1,2,5,6}:{(80,1),(81,1),(82,1),(93,1)}
        90:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(94,1),(95,1),(96,1)}
        91:{2,3,5,6}:{(84,1),(85,1),(97,1)}
        92:{2,3,4,7}:{(85,1),(96,1),(97,1)}
        93:{1,2,4,6}:{(86,1),(87,1),(88,1),(89,1),(98,1)}
        94:{1,3,5,7}:{(88,1),(98,1),(99,1),(104,1)}
        95:{1,2,3,5,6}:{(89,1),(90,1),(91,1),(98,1),(100,1),(104,1)}
        96:{1,2,4,7}:{(90,1),(92,1),(99,1),(100,1)}
        97:{2,3,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{1,3,6}:{(93,1),(94,1)}
        99:{1,3,4,7}:{(94,1),(96,1),(102,1)}
       100:{1,2,4,6}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{2,3,4,5}:{(97,1),(103,1)}
       102:{1,3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       103:{1,2,4,5}:{(100,1),(101,1),(104,1)}
       104:{1,3,5}:{(102,1),(103,1)}

1925 :   0:{2,3,4,5,7}:{(7,1),(8,1),(10,1),(38,1),(80,1),(94,1),(95,1),(103,1),(139,1),(154,1)}
         1:{2,3,4,6,7}:{(8,1),(9,1),(10,1),(13,1),(48,1),(49,1),(103,1)}
         2:{1,3,5,6,7}:{(11,1),(12,1),(33,1),(44,1),(46,1),(48,1)}
         3:{2,3,5,6,7}:{(10,1),(11,1),(13,1),(14,1),(34,1),(48,1)}
         4:{2,4,5,6,7}:{(13,1),(14,1),(84,1)}
         5:{1,3,4,6,7}:{(16,1),(17,1),(22,1),(27,1),(60,1),(67,1),(72,1),(121,1),(124,1)}
         6:{2,3,4,6,7}:{(16,1),(18,1),(61,1),(107,1),(111,1),(118,1),(121,1),(124,1),(159,1)}
         7:{1,2,4,5,7}:{(0,1),(19,1),(20,1),(23,1),(57,1),(72,1),(119,1),(128,1)}
         8:{2,3,4,6}:{(0,1),(20,1),(21,1),(61,1),(121,1),(122,1),(129,1)}
         9:{1,2,4,6,7}:{(1,1),(20,1),(22,1),(23,1),(72,1)}
        10:{2,3,5,7}:{(1,1),(21,1),(23,1),(25,1),(73,1),(74,1)}
        11:{1,2,5,6,7}:{(2,1),(3,1),(23,1),(26,1),(29,1),(59,1),(74,1)}
        12:{1,4,6,7}:{(2,1),(24,1),(27,1),(60,1),(72,1)}
        13:{2,4,6,7}:{(3,1),(25,1),(28,1),(61,1)}
        14:{3,5,6,7}:{(4,1),(28,1),(29,1),(115,1)}
        15:{1,3,4,5,7}:{(30,1),(31,1),(37,1),(39,1),(79,1),(94,1),(96,1),(98,1),(178,1),(181,1)}
        16:{1,2,4,6,7}:{(5,1),(6,1),(35,1),(36,1),(49,1),(88,1),(90,1),(93,1),(146,1)}
        17:{1,3,5,7}:{(5,1),(33,1),(36,1),(37,1),(46,1),(94,1),(98,1)}
        18:{2,3,5,7}:{(6,1),(34,1),(36,1),(38,1),(94,1),(138,1),(139,1)}
        19:{1,3,5,7}:{(7,1),(39,1),(40,1),(94,1),(98,1)}
        20:{1,2,4,6}:{(7,1),(8,1),(40,1),(41,1),(99,1)}
        21:{2,3,5,6}:{(8,1),(10,1),(41,1),(43,1),(100,1),(101,1),(139,1)}
        22:{1,3,6,7}:{(9,1),(40,1),(44,1),(48,1)}
        23:{1,2,5,7}:{(9,1),(10,1),(41,1),(44,1)}
        24:{1,4,5,7}:{(12,1),(42,1),(46,1)}
        25:{2,4,5,7}:{(10,1),(13,1),(43,1),(47,1)}
        26:{1,2,4,6,7}:{(11,1),(12,1),(13,1),(45,1),(48,1),(49,1),(50,1),(90,1),(106,1)}
        27:{3,4,6,7}:{(12,1),(46,1),(48,1),(49,1),(91,1),(103,1)}
        28:{3,4,6,7}:{(13,1),(14,1),(47,1),(48,1),(50,1),(92,1)}
        29:{1,5,6,7}:{(14,1),(50,1),(143,1)}
        30:{1,2,4,5,7}:{(15,1),(52,1),(53,1),(57,1),(108,1),(119,1),(159,1),(163,1)}
        31:{1,3,4,6}:{(15,1),(53,1),(54,1),(60,1),(121,1),(123,1),(164,1)}
        32:{1,2,3,5,7}:{(19,1),(52,1),(57,1),(58,1),(119,1)}
        33:{1,3,5,6}:{(17,1),(59,1),(60,1),(70,1),(121,1)}
        34:{2,3,5,6}:{(18,1),(59,1),(61,1),(115,1),(121,1)}
        35:{1,2,3,6,7}:{(16,1),(22,1),(58,1),(62,1),(77,1),(107,1),(121,1),(167,1),(172,1)}
        36:{1,2,5,7}:{(16,1),(17,1),(18,1),(59,1),(74,1),(119,1),(162,1)}
        37:{1,4,5,7}:{(17,1),(60,1),(64,1),(72,1),(128,1)}
        38:{2,4,5,7}:{(18,1),(61,1),(65,1),(159,1),(163,1)}
        39:{1,3,4,7}:{(19,1),(57,1),(67,1),(72,1),(124,1)}
        40:{1,3,6}:{(19,1),(20,1),(121,1)}
        41:{1,2,5,6}:{(20,1),(21,1),(23,1),(68,1),(119,1)}
        42:{1,4,5,6}:{(24,1),(60,1),(70,1)}
        43:{2,4,5,6}:{(21,1),(25,1),(61,1),(71,1),(163,1)}
        44:{1,3,5,7}:{(22,1),(23,1),(68,1),(72,1),(73,1)}
        45:{1,2,4,5,7}:{(23,1),(24,1),(25,1),(26,1),(69,1),(72,1),(73,1),(74,1),(75,1),(133,1),(134,1)}
        46:{3,5,7}:{(24,1),(27,1),(70,1),(74,1)}
        47:{3,4,5,7}:{(25,1),(28,1),(71,1),(73,1),(75,1)}
        48:{3,6,7}:{(26,1),(73,1),(121,1)}
        49:{2,4,6,7}:{(27,1),(74,1),(77,1),(122,1),(133,1)}
        50:{1,4,6,7}:{(28,1),(29,1),(75,1),(76,1),(123,1)}
        51:{1,3,4,6,7}:{(31,1),(78,1),(79,1),(86,1),(144,1),(146,1),(178,1)}
        52:{2,3,5,7}:{(30,1),(80,1),(81,1),(94,1),(139,1)}
        53:{1,2,4,6}:{(30,1),(31,1),(81,1),(82,1),(140,1)}
        54:{1,3,5,6}:{(31,1),(79,1),(82,1),(83,1),(98,1),(141,1),(143,1)}
        55:{1,3,5,6,7}:{(33,1),(79,1),(85,1),(86,1),(97,1),(144,1)}
        56:{2,3,5,6,7}:{(34,1),(85,1),(87,1),(135,1),(138,1),(144,1)}
        57:{1,2,4,7}:{(32,1),(39,1),(80,1),(88,1)}
        58:{1,2,3,6}:{(32,1),(40,1),(81,1),(88,1)}
        59:{1,2,5,6}:{(33,1),(34,1),(36,1),(90,1),(101,1),(143,1)}
        60:{1,4,6}:{(33,1),(37,1),(91,1)}
        61:{2,4,6}:{(34,1),(38,1),(92,1)}
        62:{1,2,3,5,7}:{(35,1),(36,1),(44,1),(89,1),(93,1),(94,1),(105,1),(135,1),(153,1),(179,1),(189,1)}
        63:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(90,1),(93,1),(94,1),(95,1),(96,1),(147,1),(153,1)}
        64:{3,4,5,7}:{(37,1),(46,1),(91,1),(94,1),(95,1),(103,1),(154,1)}
        65:{3,4,5,7}:{(38,1),(92,1),(94,1),(96,1),(138,1),(178,1),(181,1)}
        66:{1,4,5,6,7}:{(42,1),(86,1),(97,1)}
        67:{1,3,4,6}:{(39,1),(40,1),(88,1),(98,1),(99,1),(148,1)}
        68:{1,3,5,6}:{(40,1),(41,1),(44,1),(98,1),(99,1),(100,1)}
        69:{1,2,4,5,6}:{(41,1),(42,1),(43,1),(45,1),(90,1),(99,1),(100,1),(101,1),(102,1),(147,1),(156,1),(157,1)}
        70:{3,5,6}:{(42,1),(46,1),(91,1),(101,1)}
        71:{3,4,5,6}:{(43,1),(47,1),(92,1),(100,1),(102,1),(181,1)}
        72:{1,4,7}:{(44,1),(99,1),(103,1)}
        73:{3,5,7}:{(45,1),(48,1),(100,1),(103,1)}
        74:{2,5,7}:{(46,1),(49,1),(101,1)}
        75:{1,4,5,7}:{(47,1),(50,1),(102,1),(104,1)}
        76:{1,3,6,7}:{(48,1),(50,1),(104,1),(106,1),(149,1)}
        77:{2,3,6,7}:{(48,1),(49,1),(105,1),(106,1),(150,1)}
        78:{1,2,4,6,7}:{(51,1),(53,1),(107,1),(108,1),(159,1)}
        79:{1,3,5,7}:{(51,1),(54,1),(108,1),(109,1),(160,1),(162,1)}
        80:{2,3,4,7}:{(52,1),(57,1),(111,1),(124,1),(159,1)}
        81:{2,3,6}:{(52,1),(53,1),(121,1)}
        82:{1,2,5,6}:{(53,1),(54,1),(108,1),(112,1),(119,1)}
        83:{1,4,5,6}:{(54,1),(60,1),(109,1),(114,1),(128,1)}
        84:{2,4,5,6}:{(61,1),(110,1),(115,1)}
        85:{1,2,5,6,7}:{(55,1),(56,1),(59,1),(108,1),(116,1),(127,1),(162,1)}
        86:{1,4,6,7}:{(55,1),(60,1),(109,1),(117,1)}
        87:{2,4,6,7}:{(56,1),(61,1),(110,1),(118,1),(159,1)}
        88:{1,2,4,6}:{(57,1),(58,1),(67,1),(111,1),(119,1)}
        89:{1,2,3,5,6}:{(58,1),(59,1),(62,1),(68,1),(112,1),(119,1),(120,1),(121,1),(131,1),(165,1),(169,1),(172,1),(198,1),(199,1)}
        90:{1,2,4,6}:{(59,1),(60,1),(61,1),(63,1),(121,1),(122,1),(123,1),(172,1)}
        91:{3,4,6}:{(60,1),(64,1),(70,1),(121,1),(122,1)}
        92:{3,4,6}:{(61,1),(65,1),(115,1),(121,1),(123,1)}
        93:{1,2,4,7}:{(62,1),(72,1),(120,1),(124,1),(133,1),(159,1),(192,1)}
        94:{3,5,7}:{(63,1),(121,1),(124,1),(169,1)}
        95:{2,4,5,7}:{(64,1),(74,1),(122,1),(126,1),(133,1),(175,1)}
        96:{1,4,5,7}:{(65,1),(123,1),(125,1),(162,1),(192,1),(195,1)}
        97:{3,5,6,7}:{(66,1),(70,1),(117,1),(127,1)}
        98:{1,3,5}:{(67,1),(119,1),(128,1),(169,1)}
        99:{1,4,6}:{(68,1),(72,1),(128,1),(129,1)}
       100:{3,5,6}:{(69,1),(73,1),(121,1),(129,1),(169,1)}
       101:{2,5,6}:{(70,1),(74,1),(122,1)}
       102:{1,4,5,6}:{(71,1),(75,1),(123,1),(130,1),(195,1)}
       103:{3,4,7}:{(72,1),(73,1),(129,1),(133,1)}
       104:{1,3,5,7}:{(73,1),(75,1),(76,1),(130,1),(132,1),(134,1)}
       105:{2,3,5,7}:{(73,1),(74,1),(77,1),(131,1),(133,1),(134,1),(177,1)}
       106:{1,2,6,7}:{(76,1),(77,1),(134,1),(172,1)}
       107:{2,3,6,7}:{(78,1),(81,1),(135,1),(144,1)}
       108:{1,2,5,7}:{(78,1),(79,1),(82,1),(135,1)}
       109:{1,4,5,7}:{(79,1),(83,1),(86,1),(137,1)}
       110:{2,4,5,7}:{(84,1),(87,1),(138,1)}
       111:{2,3,4,6}:{(80,1),(81,1),(88,1),(139,1),(140,1),(148,1)}
       112:{2,3,5,6}:{(81,1),(82,1),(135,1),(139,1),(140,1),(141,1)}
       113:{1,2,4,5,6}:{(82,1),(83,1),(84,1),(90,1),(136,1),(140,1),(141,1),(142,1),(143,1),(147,1),(182,1),(184,1)}
       114:{3,4,5,6}:{(83,1),(91,1),(137,1),(141,1),(142,1),(154,1)}
       115:{3,5,6}:{(84,1),(92,1),(138,1),(143,1)}
       116:{1,2,4,6,7}:{(85,1),(86,1),(87,1),(90,1),(136,1),(144,1),(145,1),(146,1),(185,1)}
       117:{3,4,6,7}:{(86,1),(91,1),(97,1),(137,1),(144,1),(145,1)}
       118:{3,4,6,7}:{(87,1),(92,1),(138,1),(144,1),(146,1),(178,1)}
       119:{1,2,5}:{(88,1),(98,1),(139,1)}
       120:{1,2,4,6}:{(89,1),(93,1),(99,1),(140,1),(147,1),(148,1),(156,1),(182,1)}
       121:{3,6}:{(90,1),(94,1)}
       122:{2,4,6}:{(91,1),(95,1),(101,1),(150,1)}
       123:{1,4,6}:{(92,1),(96,1),(143,1),(149,1)}
       124:{3,4,7}:{(93,1),(94,1),(148,1)}
       125:{1,3,5,7}:{(94,1),(96,1),(149,1),(151,1),(153,1),(186,1)}
       126:{2,3,5,7}:{(94,1),(95,1),(150,1),(152,1),(153,1),(187,1)}
       127:{2,5,6,7}:{(97,1),(101,1),(145,1)}
       128:{1,4,5}:{(98,1),(99,1),(154,1)}
       129:{3,4,6}:{(99,1),(100,1),(103,1),(154,1),(156,1)}
       130:{1,3,5,6}:{(100,1),(102,1),(104,1),(149,1),(155,1),(157,1),(186,1)}
       131:{2,3,5,6}:{(100,1),(101,1),(105,1),(150,1),(156,1),(157,1),(187,1),(191,1)}
       132:{1,3,4,7}:{(103,1),(104,1),(155,1),(158,1)}
       133:{2,4,7}:{(103,1),(105,1),(156,1)}
       134:{1,2,5,7}:{(104,1),(105,1),(106,1),(157,1),(158,1)}
       135:{2,3,5,7}:{(107,1),(108,1),(112,1),(159,1),(160,1)}
       136:{1,2,4,5,7}:{(108,1),(109,1),(110,1),(113,1),(116,1),(159,1),(160,1),(161,1),(162,1),(192,1),(194,1)}
       137:{3,4,5,7}:{(109,1),(114,1),(117,1),(160,1),(161,1)}
       138:{3,5,7}:{(110,1),(115,1),(118,1),(162,1)}
       139:{2,3,5}:{(111,1),(119,1),(163,1),(169,1)}
       140:{2,4,6}:{(112,1),(159,1),(163,1),(164,1)}
       141:{3,5,6}:{(113,1),(121,1),(160,1),(164,1),(169,1)}
       142:{2,4,5,6}:{(114,1),(122,1),(161,1),(166,1),(175,1)}
       143:{1,5,6}:{(115,1),(123,1),(162,1)}
       144:{3,6,7}:{(116,1),(121,1),(160,1)}
       145:{2,4,6,7}:{(117,1),(122,1),(127,1),(161,1),(168,1)}
       146:{1,4,6,7}:{(118,1),(123,1),(162,1),(167,1),(192,1)}
       147:{1,2,4,5}:{(119,1),(120,1),(128,1),(163,1),(169,1),(175,1),(195,1),(198,1)}
       148:{3,4,6}:{(120,1),(121,1),(124,1),(169,1)}
       149:{1,3,6}:{(121,1),(123,1),(125,1),(172,1)}
       150:{2,3,6}:{(121,1),(122,1),(126,1),(172,1)}
       151:{1,3,4,7}:{(124,1),(125,1),(170,1),(173,1),(192,1),(206,1)}
       152:{2,3,4,7}:{(124,1),(126,1),(133,1),(171,1),(173,1),(177,1)}
       153:{1,2,5,7}:{(125,1),(126,1),(172,1),(173,1),(198,1)}
       154:{3,4,5}:{(128,1),(129,1),(169,1),(175,1)}
       155:{1,3,4,6}:{(129,1),(130,1),(132,1),(174,1),(176,1)}
       156:{2,4,6}:{(129,1),(131,1),(133,1),(175,1)}
       157:{1,2,5,6}:{(130,1),(131,1),(134,1),(172,1),(176,1),(198,1)}
       158:{1,2,4,7}:{(132,1),(133,1),(134,1),(176,1),(177,1)}
       159:{2,4,7}:{(135,1),(140,1),(178,1)}
       160:{3,5,7}:{(136,1),(141,1),(144,1),(178,1)}
       161:{2,4,5,7}:{(137,1),(142,1),(145,1),(180,1)}
       162:{1,5,7}:{(138,1),(143,1),(146,1)}
       163:{2,4,5}:{(139,1),(140,1),(181,1)}
       164:{3,4,6}:{(140,1),(141,1),(178,1),(181,1),(182,1)}
       165:{1,3,5,6}:{(141,1),(143,1),(149,1),(179,1),(182,1),(184,1),(186,1),(203,1)}
       166:{2,3,5,6}:{(141,1),(142,1),(150,1),(180,1),(183,1),(184,1),(187,1)}
       167:{1,3,6,7}:{(144,1),(146,1),(149,1),(179,1),(185,1)}
       168:{2,3,6,7}:{(144,1),(145,1),(150,1),(180,1),(185,1)}
       169:{3,5}:{(147,1),(148,1)}
       170:{1,3,4,6}:{(148,1),(149,1),(151,1),(182,1),(186,1),(188,1),(203,1),(209,1)}
       171:{2,3,4,6}:{(148,1),(150,1),(152,1),(156,1),(187,1),(188,1),(191,1),(205,1)}
       172:{1,2,6}:{(149,1),(150,1),(153,1)}
       173:{1,2,4,7}:{(151,1),(152,1),(153,1),(188,1),(189,1)}
       174:{1,3,4,5}:{(154,1),(155,1),(186,1),(190,1),(209,1)}
       175:{2,4,5}:{(154,1),(156,1),(187,1)}
       176:{1,2,4,6}:{(155,1),(156,1),(157,1),(158,1),(190,1),(191,1)}
       177:{2,3,7}:{(158,1),(191,1)}
       178:{3,4,7}:{(159,1),(160,1),(164,1),(192,1)}
       179:{1,3,5,7}:{(160,1),(162,1),(165,1),(167,1),(192,1),(194,1),(206,1)}
       180:{2,3,5,7}:{(160,1),(161,1),(166,1),(168,1),(193,1),(194,1)}
       181:{3,4,5}:{(163,1),(164,1),(169,1),(195,1)}
       182:{1,4,6}:{(164,1),(165,1),(192,1),(195,1)}
       183:{2,3,4,6}:{(164,1),(166,1),(193,1),(196,1),(197,1)}
       184:{1,2,5,6}:{(165,1),(166,1),(172,1),(194,1),(197,1),(198,1)}
       185:{1,2,6,7}:{(167,1),(168,1),(172,1),(194,1)}
       186:{1,3,5}:{(169,1),(170,1),(195,1),(198,1)}
       187:{2,3,5}:{(169,1),(171,1),(175,1),(198,1)}
       188:{1,2,4,6}:{(170,1),(171,1),(172,1),(173,1),(198,1),(199,1),(208,1)}
       189:{1,2,3,7}:{(173,1),(177,1),(199,1),(206,1)}
       190:{1,2,4,5}:{(174,1),(175,1),(176,1),(198,1),(200,1),(208,1)}
       191:{2,3,6}:{(176,1),(177,1),(200,1)}
       192:{1,4,7}:{(178,1),(179,1),(182,1)}
       193:{2,3,4,7}:{(178,1),(180,1),(183,1),(201,1)}
       194:{1,2,5,7}:{(179,1),(180,1),(184,1),(185,1),(201,1)}
       195:{1,4,5}:{(181,1),(182,1),(186,1)}
       196:{2,3,4,5}:{(181,1),(183,1),(187,1),(202,1),(205,1)}
       197:{1,2,4,6}:{(182,1),(183,1),(184,1),(201,1),(202,1),(203,1)}
       198:{1,2,5}:{(186,1),(187,1),(188,1)}
       199:{1,2,3,6}:{(188,1),(189,1),(191,1),(203,1),(204,1)}
       200:{2,3,5}:{(190,1),(191,1),(205,1)}
       201:{1,2,4,7}:{(192,1),(193,1),(194,1),(197,1),(206,1)}
       202:{1,2,4,5}:{(195,1),(196,1),(197,1),(198,1),(207,1),(208,1)}
       203:{1,3,6}:{(197,1),(206,1),(207,1)}
       204:{1,2,3,5}:{(198,1),(199,1),(200,1),(207,1),(208,1)}
       205:{2,3,4}:{(200,1),(208,1)}
       206:{1,3,7}:{(201,1),(203,1)}
       207:{1,3,5}:{(202,1),(203,1),(209,1)}
       208:{1,2,4}:{(204,1),(205,1),(209,1)}
       209:{1,3,4}:{(207,1),(208,1)}

1926 :   0:{1,3,4,5,6}:{(1,1),(2,1),(20,1),(65,1),(72,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(53,1),(60,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(58,1),(61,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(48,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(45,1),(49,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(30,1),(54,1),(58,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(36,1),(76,1)}
         8:{1,3,5,6,7}:{(3,1),(14,1),(16,1),(36,1),(53,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(37,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{2,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(42,1),(45,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(8,1),(64,1)}
        15:{2,4,5,6,7}:{(7,1),(24,1),(86,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(45,1)}
        17:{2,3,6,7}:{(9,1),(10,1)}
        18:{2,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{2,3,4,5}:{(11,1),(23,1)}
        20:{1,3,4,6}:{(13,1),(29,1),(30,1),(54,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(33,1),(54,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(29,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(30,1)}
        24:{2,3,5,6,7}:{(15,1),(31,1),(35,1),(36,1),(79,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(35,1),(36,1),(37,1),(57,1),(59,1)}
        26:{2,3,5,6,7}:{(16,1),(17,1),(36,1),(37,1),(38,1)}
        27:{2,3,4,6,7}:{(17,1),(18,1),(33,1),(37,1),(38,1),(39,1),(56,1)}
        28:{2,3,4,5,7}:{(18,1),(19,1),(34,1),(38,1),(39,1),(76,1)}
        29:{1,3,4,7}:{(20,1),(22,1),(42,1)}
        30:{1,3,5}:{(20,1),(23,1)}
        31:{2,3,4,6,7}:{(24,1),(40,1),(43,1),(48,1)}
        32:{1,2,3,5,6,7}:{(21,1),(26,1),(44,1),(45,1),(47,1),(65,1),(66,1),(69,1),(89,1),(90,1)}
        33:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(41,1),(45,1),(46,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(42,1),(45,1),(46,1),(64,1)}
        35:{1,2,5,6,7}:{(24,1),(43,1),(47,1),(89,1)}
        36:{3,5,6,7}:{(25,1),(48,1),(69,1)}
        37:{2,4,6,7}:{(26,1),(48,1),(49,1)}
        38:{2,3,5,7}:{(27,1),(45,1),(49,1),(50,1),(69,1)}
        39:{2,3,4,6}:{(28,1),(46,1),(50,1),(88,1)}
        40:{2,3,4,5,7}:{(31,1),(51,1),(52,1),(60,1),(79,1),(94,1)}
        41:{1,3,4,6,7}:{(29,1),(33,1),(53,1),(54,1),(56,1),(77,1)}
        42:{1,3,5,7}:{(29,1),(30,1),(34,1),(54,1)}
        43:{1,2,4,6,7}:{(31,1),(35,1),(52,1),(55,1),(59,1)}
        44:{1,2,4,6,7}:{(32,1),(37,1),(56,1),(57,1),(59,1),(77,1),(96,1)}
        45:{1,2,5,7}:{(33,1),(38,1),(53,1),(58,1)}
        46:{1,2,4,6}:{(34,1),(39,1),(54,1),(58,1),(77,1)}
        47:{1,3,5,6,7}:{(35,1),(36,1),(55,1),(59,1),(80,1)}
        48:{3,4,6,7}:{(36,1),(37,1),(59,1),(60,1)}
        49:{2,4,5,7}:{(37,1),(38,1),(60,1),(61,1)}
        50:{2,3,5,6}:{(38,1),(39,1),(58,1),(61,1),(81,1)}
        51:{2,3,4,5,6}:{(40,1),(62,1),(72,1),(90,1),(99,1)}
        52:{1,2,4,5,7}:{(40,1),(43,1),(62,1),(63,1),(71,1),(85,1),(89,1)}
        53:{1,3,5,7}:{(41,1),(45,1),(64,1),(65,1),(69,1)}
        54:{1,3,6}:{(42,1),(46,1)}
        55:{1,3,6,7}:{(43,1),(63,1)}
        56:{3,4,6,7}:{(44,1),(69,1),(88,1)}
        57:{1,2,4,5,7}:{(44,1),(45,1),(49,1),(64,1),(69,1),(70,1),(71,1),(86,1),(89,1)}
        58:{1,2,5,6}:{(45,1),(46,1),(50,1),(65,1)}
        59:{1,4,6,7}:{(47,1),(48,1),(71,1)}
        60:{3,4,5,7}:{(48,1),(49,1),(69,1),(71,1),(72,1)}
        61:{2,4,5,6}:{(49,1),(50,1),(72,1)}
        62:{1,2,4,5,6}:{(51,1),(52,1),(73,1),(82,1),(92,1),(98,1)}
        63:{1,3,5,7}:{(52,1),(55,1),(73,1),(75,1)}
        64:{1,4,5,7}:{(53,1),(76,1),(77,1)}
        65:{1,3,5,6}:{(53,1),(54,1),(58,1),(77,1),(81,1)}
        66:{1,2,3,6,7}:{(55,1),(74,1),(78,1),(104,1)}
        67:{2,3,4,6,7}:{(56,1),(78,1),(79,1),(94,1),(96,1),(104,1)}
        68:{1,3,4,6,7}:{(55,1),(56,1),(59,1),(75,1),(78,1),(80,1),(97,1)}
        69:{3,5,7}:{(56,1),(57,1),(81,1)}
        70:{1,2,4,5,6}:{(57,1),(58,1),(61,1),(77,1),(81,1),(82,1),(96,1),(98,1)}
        71:{1,4,5,7}:{(59,1),(60,1),(80,1),(82,1)}
        72:{3,4,5,6}:{(60,1),(61,1),(81,1),(82,1)}
        73:{1,3,5,6}:{(62,1),(63,1),(84,1)}
        74:{1,2,3,5,7}:{(63,1),(66,1),(83,1),(85,1),(89,1),(101,1)}
        75:{1,3,4,7}:{(63,1),(84,1),(85,1)}
        76:{3,4,5,7}:{(64,1),(69,1),(86,1),(88,1)}
        77:{1,4,6}:{(64,1),(65,1),(88,1)}
        78:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(85,1),(89,1),(102,1)}
        79:{2,3,5,7}:{(67,1),(69,1),(86,1),(89,1),(90,1)}
        80:{1,3,5,7}:{(68,1),(69,1),(71,1),(89,1),(91,1)}
        81:{3,5,6}:{(69,1),(70,1),(88,1)}
        82:{1,4,5,6}:{(71,1),(72,1),(91,1)}
        83:{1,2,3,5,6}:{(73,1),(74,1),(92,1),(98,1),(103,1),(104,1)}
        84:{1,3,4,6}:{(73,1),(75,1),(92,1),(93,1)}
        85:{1,2,4,7}:{(74,1),(75,1),(92,1),(94,1)}
        86:{2,4,5,7}:{(76,1),(79,1),(96,1)}
        87:{1,3,4,5,7}:{(75,1),(76,1),(80,1),(93,1),(95,1),(97,1)}
        88:{3,4,6}:{(76,1),(77,1),(81,1),(96,1)}
        89:{1,2,5,7}:{(78,1),(79,1),(80,1),(98,1)}
        90:{2,3,5,6}:{(79,1),(81,1),(96,1),(98,1),(104,1)}
        91:{1,3,5,6}:{(80,1),(81,1),(82,1),(97,1),(98,1)}
        92:{1,2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        93:{1,3,4,5}:{(84,1),(100,1)}
        94:{2,3,4,7}:{(85,1),(99,1),(101,1)}
        95:{1,2,4,5,7}:{(85,1),(86,1),(87,1),(89,1),(100,1),(101,1),(102,1)}
        96:{2,4,6}:{(86,1),(88,1),(90,1)}
        97:{1,3,4,6}:{(87,1),(88,1),(91,1),(102,1)}
        98:{1,2,5,6}:{(89,1),(90,1),(91,1),(102,1)}
        99:{2,3,4,6}:{(92,1),(94,1),(103,1),(104,1)}
       100:{1,2,4,5}:{(92,1),(93,1),(103,1)}
       101:{2,3,5,7}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       103:{2,3,5}:{(99,1),(100,1)}
       104:{2,3,6}:{(101,1),(102,1)}

1927 :   0:{1,2,3,5,6,7}:{(2,1),(12,1),(18,1),(46,1),(47,1),(48,1),(49,1),(56,1),(58,1),(102,1),(103,1),(107,1),(138,1),(147,1),(165,1)}
         1:{1,2,4,5,6,7}:{(3,1),(11,1),(16,1),(17,1),(18,1),(55,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(69,1),(70,1),(84,1),(128,1),(131,1),(156,1),(172,1)}
         3:{3,5,6,7}:{(1,1),(6,1),(26,1),(82,1)}
         4:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(43,1),(44,1),(48,1),(149,1)}
         5:{3,4,6,7}:{(2,1),(12,1),(42,1),(56,1),(109,1),(147,1),(148,1),(167,1)}
         6:{3,4,6,7}:{(3,1),(15,1),(16,1),(17,1),(42,1),(56,1),(109,1)}
         7:{1,3,5,6,7}:{(3,1),(16,1),(18,1),(19,1),(46,1),(56,1),(107,1)}
         8:{2,3,5,6,7}:{(3,1),(17,1),(18,1),(47,1),(51,1),(56,1),(58,1)}
         9:{1,3,4,6,7}:{(16,1),(19,1),(20,1),(21,1),(56,1),(109,1)}
        10:{1,3,4,5,7}:{(19,1),(21,1),(22,1),(43,1),(93,1),(101,1),(109,1),(140,1),(151,1)}
        11:{1,2,4,5,6}:{(4,1),(26,1),(69,1),(70,1),(74,1)}
        12:{3,5,7}:{(4,1),(5,1),(26,1),(163,1)}
        13:{1,3,4,6,7}:{(5,1),(27,1),(29,1),(69,1),(80,1),(118,1),(119,1),(126,1),(127,1),(131,1),(156,1),(160,1)}
        14:{2,3,4,6,7}:{(5,1),(28,1),(29,1),(37,1),(70,1),(84,1),(85,1),(126,1),(127,1),(161,1),(162,1),(172,1)}
        15:{3,4,5,7}:{(6,1),(31,1),(32,1),(33,1),(82,1)}
        16:{1,4,6,7}:{(6,1),(7,1),(32,1),(69,1),(131,1)}
        17:{2,4,6,7}:{(6,1),(8,1),(33,1),(70,1),(84,1)}
        18:{1,2,5,6,7}:{(7,1),(8,1),(34,1),(36,1),(74,1),(79,1)}
        19:{1,3,5,7}:{(9,1),(32,1),(35,1),(36,1),(82,1)}
        20:{1,2,4,6,7}:{(9,1),(36,1),(37,1),(38,1),(84,1)}
        21:{1,3,4,6}:{(10,1),(35,1),(38,1),(69,1),(126,1),(132,1)}
        22:{1,2,4,5,7}:{(10,1),(36,1),(38,1),(39,1),(77,1),(84,1),(129,1),(133,1)}
        23:{2,3,4,5,7}:{(40,1),(41,1),(44,1),(60,1),(89,1),(101,1),(111,1),(167,1),(168,1)}
        24:{3,4,5,7}:{(12,1),(42,1),(43,1),(44,1),(101,1),(109,1),(151,1),(167,1),(168,1)}
        25:{1,2,4,5,6,7}:{(11,1),(45,1),(98,1),(99,1),(102,1),(136,1)}
        26:{3,5,6}:{(11,1),(12,1),(42,1)}
        27:{1,3,5,7}:{(12,1),(13,1),(43,1),(46,1),(48,1),(101,1),(140,1),(170,1)}
        28:{2,3,5,7}:{(12,1),(14,1),(44,1),(47,1),(48,1),(101,1),(111,1),(171,1)}
        29:{1,2,4,6,7}:{(13,1),(14,1),(48,1),(49,1),(100,1),(104,1),(105,1),(169,1)}
        30:{2,3,4,6,7}:{(17,1),(51,1),(52,1),(56,1),(94,1),(109,1)}
        31:{3,4,5,6}:{(15,1),(42,1),(53,1),(54,1),(108,1),(168,1)}
        32:{1,4,5,7}:{(15,1),(16,1),(19,1),(53,1)}
        33:{2,4,5,7}:{(15,1),(17,1),(51,1),(54,1)}
        34:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(55,1),(56,1),(100,1)}
        35:{1,3,5,6}:{(19,1),(21,1),(53,1),(57,1),(108,1),(140,1)}
        36:{1,2,5,7}:{(19,1),(20,1),(57,1),(58,1)}
        37:{2,3,6,7}:{(20,1),(56,1),(58,1),(59,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(57,1),(59,1),(110,1)}
        39:{2,3,5,7}:{(22,1),(59,1),(60,1),(101,1),(111,1)}
        40:{2,3,4,6}:{(23,1),(62,1),(64,1),(70,1),(126,1),(155,1)}
        41:{1,2,4,5,7}:{(23,1),(64,1),(65,1),(77,1),(116,1),(129,1),(156,1),(157,1)}
        42:{3,4,6}:{(24,1),(26,1),(69,1),(70,1),(126,1)}
        43:{1,4,5,7}:{(24,1),(27,1),(69,1),(131,1),(156,1),(157,1),(164,1)}
        44:{2,4,5,7}:{(24,1),(28,1),(70,1),(84,1),(133,1),(172,1),(173,1)}
        45:{3,5,6,7}:{(25,1),(26,1),(68,1),(154,1)}
        46:{1,3,5,6}:{(26,1),(27,1),(69,1),(74,1),(126,1)}
        47:{2,3,5,6}:{(26,1),(28,1),(70,1),(74,1),(126,1)}
        48:{1,2,5,7}:{(27,1),(28,1),(29,1),(74,1),(129,1),(174,1)}
        49:{1,2,3,6,7}:{(29,1),(37,1),(75,1),(76,1),(80,1),(118,1),(126,1),(158,1),(161,1)}
        50:{1,2,3,5,7}:{(39,1),(65,1),(76,1),(77,1),(129,1)}
        51:{2,3,5,7}:{(30,1),(33,1),(78,1),(79,1),(82,1)}
        52:{1,2,4,6,7}:{(30,1),(79,1),(80,1),(120,1),(131,1)}
        53:{1,4,5,6}:{(31,1),(32,1),(35,1),(69,1),(157,1)}
        54:{2,4,5,6}:{(31,1),(33,1),(70,1),(78,1),(173,1)}
        55:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(36,1),(79,1),(81,1),(82,1),(84,1),(131,1)}
        56:{3,6,7}:{(34,1),(82,1),(126,1)}
        57:{1,2,5,6}:{(35,1),(36,1),(38,1),(83,1),(129,1)}
        58:{2,3,5,7}:{(36,1),(37,1),(82,1),(83,1),(84,1)}
        59:{2,3,6}:{(38,1),(39,1),(126,1)}
        60:{2,3,4,7}:{(39,1),(77,1),(84,1),(85,1),(127,1)}
        61:{3,4,5,6}:{(42,1),(86,1),(87,1),(88,1),(137,1),(151,1)}
        62:{2,3,5,6}:{(40,1),(88,1),(89,1),(90,1),(111,1),(137,1)}
        63:{2,3,4,6,7}:{(40,1),(89,1),(91,1),(99,1),(147,1),(167,1)}
        64:{1,2,4,6}:{(40,1),(41,1),(90,1),(92,1),(139,1)}
        65:{1,3,5,7}:{(41,1),(92,1),(93,1),(101,1),(140,1)}
        66:{2,3,4,5,7}:{(44,1),(51,1),(94,1),(95,1),(101,1),(109,1),(146,1),(151,1),(171,1)}
        67:{1,3,4,5,7}:{(43,1),(96,1),(97,1),(101,1),(134,1),(143,1),(167,1),(168,1),(170,1)}
        68:{3,4,6,7}:{(42,1),(45,1),(86,1),(98,1),(99,1),(147,1),(167,1)}
        69:{1,4,6}:{(42,1),(43,1),(46,1)}
        70:{2,4,6}:{(42,1),(44,1),(47,1)}
        71:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(100,1),(101,1),(104,1),(149,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(98,1),(102,1),(134,1),(138,1),(147,1)}
        73:{2,3,5,6,7}:{(45,1),(47,1),(89,1),(99,1),(102,1),(147,1),(165,1)}
        74:{1,2,5,6}:{(46,1),(47,1),(48,1),(100,1)}
        75:{1,2,3,5,7}:{(48,1),(49,1),(58,1),(101,1),(103,1),(104,1),(107,1),(138,1),(165,1)}
        76:{1,2,3,6}:{(50,1),(59,1),(92,1),(105,1)}
        77:{1,2,4,7}:{(50,1),(60,1),(93,1),(105,1)}
        78:{2,3,5,6}:{(51,1),(54,1),(94,1),(106,1),(108,1),(171,1)}
        79:{1,2,5,7}:{(51,1),(52,1),(106,1),(107,1)}
        80:{1,3,6,7}:{(52,1),(56,1),(107,1),(142,1)}
        81:{1,2,4,5,6}:{(53,1),(54,1),(55,1),(57,1),(100,1),(106,1),(108,1),(110,1),(149,1),(150,1)}
        82:{3,5,7}:{(55,1),(56,1),(108,1),(109,1)}
        83:{2,3,5,6}:{(57,1),(58,1),(59,1),(108,1),(110,1),(111,1)}
        84:{2,4,7}:{(58,1),(109,1),(110,1)}
        85:{2,3,4,6}:{(59,1),(60,1),(105,1),(110,1),(111,1),(148,1)}
        86:{3,4,5,7}:{(61,1),(68,1),(113,1),(114,1),(154,1)}
        87:{1,4,5,6}:{(61,1),(69,1),(112,1),(113,1),(164,1)}
        88:{2,4,5,6}:{(61,1),(62,1),(70,1),(114,1),(133,1)}
        89:{2,3,5,7}:{(62,1),(63,1),(114,1),(116,1),(154,1)}
        90:{1,2,5,6}:{(62,1),(64,1),(116,1),(117,1),(129,1)}
        91:{1,2,4,6,7}:{(63,1),(64,1),(116,1),(118,1),(156,1)}
        92:{1,3,6}:{(64,1),(65,1),(126,1)}
        93:{1,3,4,7}:{(65,1),(77,1),(119,1),(127,1),(156,1)}
        94:{2,3,4,6}:{(66,1),(70,1),(78,1),(120,1),(126,1),(132,1)}
        95:{1,2,4,5,7}:{(66,1),(79,1),(120,1),(121,1),(131,1),(159,1),(164,1),(174,1)}
        96:{1,3,4,6}:{(67,1),(69,1),(112,1),(123,1),(126,1),(155,1)}
        97:{1,2,4,5,7}:{(67,1),(123,1),(124,1),(152,1),(159,1),(172,1),(173,1),(174,1)}
        98:{1,4,6,7}:{(68,1),(69,1),(72,1),(113,1),(156,1)}
        99:{2,4,6,7}:{(68,1),(70,1),(73,1),(114,1),(172,1)}
       100:{1,2,4,6}:{(69,1),(70,1),(71,1),(74,1),(126,1)}
       101:{3,5,7}:{(71,1),(126,1),(127,1),(163,1)}
       102:{1,2,5,6,7}:{(72,1),(73,1),(74,1),(116,1),(125,1),(152,1)}
       103:{1,2,3,5,6}:{(74,1),(75,1),(76,1),(83,1),(117,1),(126,1),(128,1),(129,1),(130,1),(153,1),(158,1),(163,1),(174,1)}
       104:{1,2,4,7}:{(75,1),(84,1),(127,1),(128,1),(131,1),(156,1),(172,1)}
       105:{1,2,4,6}:{(76,1),(77,1),(85,1),(119,1),(129,1)}
       106:{1,2,5,6}:{(78,1),(79,1),(120,1),(130,1),(174,1)}
       107:{1,3,5,7}:{(79,1),(80,1),(82,1),(130,1),(131,1)}
       108:{3,5,6}:{(81,1),(82,1),(126,1),(132,1),(163,1)}
       109:{3,4,7}:{(82,1),(84,1),(131,1),(132,1)}
       110:{2,4,6}:{(83,1),(84,1),(132,1),(133,1)}
       111:{2,3,5}:{(85,1),(129,1),(133,1),(163,1)}
       112:{1,3,5,6}:{(87,1),(96,1),(134,1),(135,1),(137,1),(170,1)}
       113:{1,4,5,7}:{(86,1),(87,1),(98,1),(134,1)}
       114:{2,4,5,7}:{(86,1),(88,1),(89,1),(99,1)}
       115:{1,2,4,5,6}:{(87,1),(88,1),(90,1),(100,1),(135,1),(136,1),(137,1),(139,1),(149,1),(166,1)}
       116:{1,2,5,7}:{(89,1),(90,1),(91,1),(138,1)}
       117:{1,3,5,6}:{(90,1),(92,1),(137,1),(138,1),(139,1),(140,1)}
       118:{1,3,6,7}:{(91,1),(92,1),(138,1),(147,1)}
       119:{1,3,4,6}:{(92,1),(93,1),(105,1),(139,1),(140,1),(148,1)}
       120:{1,2,4,6}:{(94,1),(95,1),(106,1),(142,1),(150,1)}
       121:{1,3,5,7}:{(95,1),(101,1),(142,1),(143,1),(170,1)}
       122:{1,3,4,6,7}:{(96,1),(98,1),(134,1),(144,1),(147,1),(167,1)}
       123:{1,2,4,6}:{(96,1),(97,1),(135,1),(145,1),(166,1)}
       124:{2,3,5,7}:{(97,1),(101,1),(145,1),(146,1),(171,1)}
       125:{1,2,4,6,7}:{(98,1),(99,1),(100,1),(102,1),(136,1),(147,1)}
       126:{3,6}:{(100,1),(101,1)}
       127:{3,4,7}:{(101,1),(104,1),(148,1)}
       128:{1,2,4,6}:{(103,1),(104,1),(110,1),(139,1),(148,1),(149,1),(150,1),(166,1)}
       129:{1,2,5}:{(105,1),(111,1),(140,1)}
       130:{1,3,5,6}:{(106,1),(107,1),(108,1),(142,1),(150,1),(170,1)}
       131:{1,4,7}:{(107,1),(109,1),(150,1)}
       132:{3,4,6}:{(108,1),(109,1),(110,1),(150,1),(151,1)}
       133:{2,4,5}:{(110,1),(111,1),(151,1)}
       134:{1,3,5,7}:{(112,1),(113,1),(122,1),(152,1),(154,1)}
       135:{1,2,5,6}:{(112,1),(123,1),(152,1),(153,1),(174,1)}
       136:{1,2,4,5,7}:{(113,1),(114,1),(115,1),(116,1),(125,1),(152,1),(154,1),(156,1),(172,1)}
       137:{3,5,6}:{(115,1),(126,1),(154,1),(155,1),(163,1)}
       138:{1,3,5,7}:{(116,1),(117,1),(118,1),(154,1),(156,1)}
       139:{1,4,6}:{(117,1),(155,1),(156,1),(157,1)}
       140:{1,3,5}:{(119,1),(129,1),(157,1),(163,1)}
       141:{1,2,3,5,7}:{(121,1),(124,1),(158,1),(159,1),(174,1)}
       142:{1,3,6}:{(120,1),(121,1),(126,1)}
       143:{1,3,4,7}:{(121,1),(127,1),(131,1),(159,1),(160,1)}
       144:{1,2,4,6,7}:{(122,1),(123,1),(152,1),(161,1),(172,1)}
       145:{2,3,6}:{(123,1),(124,1),(126,1)}
       146:{2,3,4,7}:{(124,1),(127,1),(159,1),(162,1),(172,1)}
       147:{3,6,7}:{(125,1),(126,1),(154,1)}
       148:{3,4,6}:{(126,1),(127,1),(128,1),(163,1)}
       149:{1,2,4,5}:{(128,1),(129,1),(133,1),(157,1),(163,1),(164,1),(173,1),(174,1)}
       150:{1,4,6}:{(130,1),(131,1),(132,1),(164,1)}
       151:{3,4,5}:{(132,1),(133,1),(163,1),(164,1)}
       152:{1,2,5,7}:{(134,1),(135,1),(144,1),(165,1)}
       153:{2,3,5,6}:{(135,1),(137,1),(145,1),(165,1),(166,1),(171,1)}
       154:{3,5,7}:{(136,1),(137,1),(147,1),(167,1)}
       155:{3,4,6}:{(137,1),(139,1),(166,1),(167,1),(168,1)}
       156:{1,4,7}:{(138,1),(139,1),(167,1)}
       157:{1,4,5}:{(139,1),(140,1),(168,1)}
       158:{1,2,3,6}:{(141,1),(142,1),(145,1),(169,1)}
       159:{1,2,4,7}:{(141,1),(143,1),(146,1),(169,1)}
       160:{1,3,4,6}:{(142,1),(143,1),(148,1),(150,1),(169,1),(170,1)}
       161:{2,3,6,7}:{(144,1),(145,1),(147,1),(165,1)}
       162:{2,3,4,6}:{(145,1),(146,1),(148,1),(166,1),(169,1),(171,1)}
       163:{3,5}:{(148,1),(149,1)}
       164:{1,4,5}:{(150,1),(151,1),(170,1)}
       165:{2,3,5,7}:{(152,1),(153,1),(154,1),(161,1),(172,1)}
       166:{2,4,6}:{(153,1),(155,1),(172,1),(173,1)}
       167:{3,4,7}:{(154,1),(155,1),(156,1),(172,1)}
       168:{3,4,5}:{(155,1),(157,1),(163,1),(173,1)}
       169:{1,2,4,6}:{(158,1),(159,1),(160,1),(162,1),(174,1)}
       170:{1,3,5}:{(160,1),(163,1),(164,1),(174,1)}
       171:{2,3,5}:{(162,1),(163,1),(173,1),(174,1)}
       172:{2,4,7}:{(165,1),(166,1),(167,1)}
       173:{2,4,5}:{(166,1),(168,1),(171,1)}
       174:{1,2,5}:{(169,1),(170,1),(171,1)}

1928 :   0:{1,3,4,5,6}:{(1,1),(2,1),(18,1),(57,1),(63,1)}
         1:{1,2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(49,1),(52,1)}
         2:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(28,1),(48,1),(53,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(40,1),(43,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(44,1)}
         6:{1,2,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(47,1),(49,1)}
         7:{2,3,4,6}:{(3,1),(11,1),(13,1),(14,1)}
         8:{2,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,2,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(34,1)}
        10:{1,3,5,6,7}:{(5,1),(16,1),(17,1),(35,1),(48,1)}
        11:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
        12:{1,2,3,5,7}:{(6,1),(8,1),(20,1),(21,1),(37,1),(40,1)}
        13:{2,3,4,5}:{(7,1),(19,1)}
        14:{2,3,4,7}:{(7,1),(8,1),(20,1)}
        15:{2,3,6,7}:{(8,1),(9,1)}
        16:{1,2,5,6,7}:{(9,1),(10,1),(24,1),(40,1)}
        17:{1,4,5,6,7}:{(10,1),(26,1),(58,1)}
        18:{1,3,4,6}:{(11,1),(27,1),(28,1),(47,1)}
        19:{1,2,4,5}:{(11,1),(13,1),(27,1)}
        20:{1,2,4,7}:{(11,1),(12,1),(14,1),(28,1)}
        21:{1,2,3,6,7}:{(12,1),(15,1),(30,1),(47,1)}
        22:{2,3,4,5,7}:{(13,1),(14,1),(29,1),(32,1),(33,1),(68,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1),(51,1)}
        24:{2,3,5,6,7}:{(15,1),(16,1),(33,1),(34,1),(35,1)}
        25:{1,2,4,5,6,7}:{(16,1),(17,1),(34,1),(35,1),(36,1),(50,1),(54,1),(56,1)}
        26:{3,4,5,6,7}:{(17,1),(35,1),(36,1),(68,1)}
        27:{1,3,5}:{(18,1),(19,1)}
        28:{1,3,4,7}:{(18,1),(20,1),(37,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(39,1),(40,1),(58,1)}
        30:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(39,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(24,1),(40,1),(41,1),(45,1),(57,1),(60,1),(81,1),(82,1),(83,1)}
        32:{2,3,4,6}:{(22,1),(39,1),(42,1),(77,1)}
        33:{2,3,5,7}:{(23,1),(40,1),(42,1),(43,1),(60,1)}
        34:{2,4,6,7}:{(24,1),(43,1),(44,1)}
        35:{3,5,6,7}:{(25,1),(44,1),(60,1)}
        36:{2,4,5,6,7}:{(26,1),(46,1),(79,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(47,1)}
        38:{1,3,4,6,7}:{(28,1),(30,1),(47,1),(48,1),(51,1),(67,1)}
        39:{1,2,4,6}:{(29,1),(32,1),(47,1),(49,1),(67,1)}
        40:{1,2,5,7}:{(30,1),(33,1),(48,1),(49,1)}
        41:{1,2,4,6,7}:{(31,1),(34,1),(50,1),(51,1),(54,1),(67,1),(87,1)}
        42:{2,3,5,6}:{(32,1),(33,1),(49,1),(52,1),(69,1)}
        43:{2,4,5,7}:{(33,1),(34,1),(52,1),(53,1)}
        44:{3,4,6,7}:{(34,1),(35,1),(53,1),(54,1)}
        45:{1,3,5,6,7}:{(35,1),(54,1),(56,1),(70,1),(76,1)}
        46:{2,3,5,6,7}:{(35,1),(36,1),(55,1),(56,1),(71,1)}
        47:{1,3,6}:{(37,1),(39,1)}
        48:{1,3,5,7}:{(38,1),(40,1),(57,1),(58,1),(60,1)}
        49:{1,2,5,6}:{(39,1),(40,1),(42,1),(57,1)}
        50:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(58,1),(59,1),(60,1),(64,1),(79,1),(82,1)}
        51:{3,4,6,7}:{(41,1),(60,1),(77,1)}
        52:{2,4,5,6}:{(42,1),(43,1),(63,1)}
        53:{3,4,5,7}:{(43,1),(44,1),(60,1),(63,1),(64,1)}
        54:{1,4,6,7}:{(44,1),(45,1),(64,1)}
        55:{2,3,4,6,7}:{(44,1),(46,1),(65,1),(66,1)}
        56:{1,2,5,6,7}:{(45,1),(46,1),(66,1),(82,1)}
        57:{1,3,5,6}:{(47,1),(48,1),(49,1),(67,1),(69,1)}
        58:{1,4,5,7}:{(48,1),(67,1),(68,1)}
        59:{1,2,4,5,6}:{(49,1),(50,1),(52,1),(67,1),(69,1),(73,1),(87,1),(89,1)}
        60:{3,5,7}:{(50,1),(51,1),(69,1)}
        61:{1,3,4,6,7}:{(51,1),(54,1),(70,1),(72,1),(76,1),(86,1),(92,1)}
        62:{2,3,4,6,7}:{(51,1),(71,1),(72,1),(87,1),(98,1),(99,1)}
        63:{3,4,5,6}:{(52,1),(53,1),(69,1),(73,1)}
        64:{1,4,5,7}:{(53,1),(54,1),(70,1),(73,1)}
        65:{2,3,4,5,7}:{(53,1),(55,1),(71,1),(74,1),(75,1),(99,1)}
        66:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(75,1),(76,1)}
        67:{1,4,6}:{(57,1),(58,1),(77,1)}
        68:{3,4,5,7}:{(58,1),(60,1),(77,1),(79,1)}
        69:{3,5,6}:{(59,1),(60,1),(77,1)}
        70:{1,3,5,7}:{(60,1),(61,1),(64,1),(80,1),(82,1)}
        71:{2,3,5,7}:{(60,1),(62,1),(79,1),(81,1),(82,1)}
        72:{1,2,4,6,7}:{(61,1),(62,1),(82,1),(83,1),(93,1),(96,1)}
        73:{1,4,5,6}:{(63,1),(64,1),(80,1)}
        74:{2,3,4,5,6}:{(63,1),(65,1),(81,1),(84,1),(102,1)}
        75:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(82,1),(84,1),(85,1),(96,1)}
        76:{1,3,6,7}:{(66,1),(85,1)}
        77:{3,4,6}:{(67,1),(68,1),(69,1),(87,1)}
        78:{1,3,4,5,7}:{(68,1),(70,1),(86,1),(88,1),(92,1),(101,1)}
        79:{2,4,5,7}:{(68,1),(71,1),(87,1)}
        80:{1,3,5,6}:{(69,1),(70,1),(73,1),(86,1),(89,1)}
        81:{2,3,5,6}:{(69,1),(71,1),(87,1),(89,1),(98,1)}
        82:{1,2,5,7}:{(70,1),(71,1),(72,1),(89,1)}
        83:{1,2,3,6,7}:{(72,1),(76,1),(90,1),(98,1)}
        84:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(89,1),(91,1),(100,1)}
        85:{1,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,3,4,6}:{(77,1),(78,1),(80,1),(93,1)}
        87:{2,4,6}:{(77,1),(79,1),(81,1)}
        88:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(93,1),(94,1),(96,1),(103,1)}
        89:{1,2,5,6}:{(80,1),(81,1),(82,1),(93,1)}
        90:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(94,1),(95,1),(96,1)}
        91:{1,3,5,6}:{(84,1),(85,1),(97,1)}
        92:{1,3,4,7}:{(85,1),(96,1),(97,1)}
        93:{1,2,4,6}:{(86,1),(87,1),(88,1),(89,1),(98,1)}
        94:{2,3,5,7}:{(88,1),(98,1),(99,1),(104,1)}
        95:{1,2,3,5,6}:{(89,1),(90,1),(91,1),(98,1),(100,1),(104,1)}
        96:{1,2,4,7}:{(90,1),(92,1),(99,1),(100,1)}
        97:{1,3,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{2,3,6}:{(93,1),(94,1)}
        99:{2,3,4,7}:{(94,1),(96,1),(102,1)}
       100:{1,2,4,6}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{1,3,4,5}:{(97,1),(103,1)}
       102:{2,3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       103:{1,2,4,5}:{(100,1),(101,1),(104,1)}
       104:{2,3,5}:{(102,1),(103,1)}

1929 :   0:{1,3,4,5,7}:{(7,1),(8,1),(10,1),(37,1),(80,1),(94,1),(96,1),(103,1),(139,1),(154,1)}
         1:{1,3,4,6,7}:{(8,1),(9,1),(10,1),(12,1),(48,1),(50,1),(103,1)}
         2:{1,3,5,6,7}:{(10,1),(11,1),(12,1),(14,1),(33,1),(48,1)}
         3:{2,3,5,6,7}:{(11,1),(13,1),(34,1),(44,1),(47,1),(48,1)}
         4:{1,4,5,6,7}:{(12,1),(14,1),(83,1)}
         5:{1,3,4,6,7}:{(16,1),(17,1),(60,1),(107,1),(111,1),(117,1),(121,1),(124,1),(159,1)}
         6:{2,3,4,6,7}:{(16,1),(18,1),(22,1),(28,1),(61,1),(67,1),(72,1),(121,1),(124,1)}
         7:{1,2,4,5,7}:{(0,1),(19,1),(20,1),(23,1),(57,1),(72,1),(119,1),(128,1)}
         8:{1,3,4,6}:{(0,1),(20,1),(21,1),(60,1),(121,1),(123,1),(129,1)}
         9:{1,2,4,6,7}:{(1,1),(20,1),(22,1),(23,1),(72,1)}
        10:{1,3,5,7}:{(1,1),(21,1),(23,1),(24,1),(73,1),(75,1)}
        11:{1,2,5,6,7}:{(2,1),(3,1),(23,1),(26,1),(29,1),(59,1),(75,1)}
        12:{1,4,6,7}:{(2,1),(24,1),(27,1),(60,1)}
        13:{2,4,6,7}:{(3,1),(25,1),(28,1),(61,1),(72,1)}
        14:{3,5,6,7}:{(4,1),(27,1),(29,1),(114,1)}
        15:{2,3,4,5,7}:{(30,1),(31,1),(38,1),(39,1),(79,1),(94,1),(95,1),(98,1),(178,1),(181,1)}
        16:{1,2,4,6,7}:{(5,1),(6,1),(35,1),(36,1),(50,1),(88,1),(90,1),(93,1),(145,1)}
        17:{1,3,5,7}:{(5,1),(33,1),(36,1),(37,1),(94,1),(137,1),(139,1)}
        18:{2,3,5,7}:{(6,1),(34,1),(36,1),(38,1),(47,1),(94,1),(98,1)}
        19:{2,3,5,7}:{(7,1),(39,1),(40,1),(94,1),(98,1)}
        20:{1,2,4,6}:{(7,1),(8,1),(40,1),(41,1),(99,1)}
        21:{1,3,5,6}:{(8,1),(10,1),(41,1),(42,1),(100,1),(102,1),(139,1)}
        22:{2,3,6,7}:{(9,1),(40,1),(44,1),(48,1)}
        23:{1,2,5,7}:{(9,1),(10,1),(41,1),(44,1)}
        24:{1,4,5,7}:{(10,1),(12,1),(42,1),(46,1)}
        25:{2,4,5,7}:{(13,1),(43,1),(47,1)}
        26:{1,2,4,6,7}:{(11,1),(12,1),(13,1),(45,1),(48,1),(49,1),(50,1),(90,1),(106,1)}
        27:{3,4,6,7}:{(12,1),(14,1),(46,1),(48,1),(49,1),(91,1)}
        28:{3,4,6,7}:{(13,1),(47,1),(48,1),(50,1),(92,1),(103,1)}
        29:{2,5,6,7}:{(14,1),(49,1),(142,1)}
        30:{1,2,4,5,7}:{(15,1),(52,1),(53,1),(57,1),(108,1),(119,1),(159,1),(163,1)}
        31:{2,3,4,6}:{(15,1),(53,1),(54,1),(61,1),(121,1),(122,1),(164,1)}
        32:{1,2,3,5,7}:{(19,1),(52,1),(57,1),(58,1),(119,1)}
        33:{1,3,5,6}:{(17,1),(59,1),(60,1),(114,1),(121,1)}
        34:{2,3,5,6}:{(18,1),(59,1),(61,1),(71,1),(121,1)}
        35:{1,2,3,6,7}:{(16,1),(22,1),(58,1),(62,1),(76,1),(107,1),(121,1),(168,1),(172,1)}
        36:{1,2,5,7}:{(16,1),(17,1),(18,1),(59,1),(75,1),(119,1),(161,1)}
        37:{1,4,5,7}:{(17,1),(60,1),(64,1),(159,1),(163,1)}
        38:{2,4,5,7}:{(18,1),(61,1),(65,1),(72,1),(128,1)}
        39:{2,3,4,7}:{(19,1),(57,1),(67,1),(72,1),(124,1)}
        40:{2,3,6}:{(19,1),(20,1),(121,1)}
        41:{1,2,5,6}:{(20,1),(21,1),(23,1),(68,1),(119,1)}
        42:{1,4,5,6}:{(21,1),(24,1),(60,1),(70,1),(163,1)}
        43:{2,4,5,6}:{(25,1),(61,1),(71,1)}
        44:{2,3,5,7}:{(22,1),(23,1),(68,1),(72,1),(73,1)}
        45:{1,2,4,5,7}:{(23,1),(24,1),(25,1),(26,1),(69,1),(72,1),(73,1),(74,1),(75,1),(132,1),(134,1)}
        46:{3,4,5,7}:{(24,1),(27,1),(70,1),(73,1),(74,1)}
        47:{3,5,7}:{(25,1),(28,1),(71,1),(75,1)}
        48:{3,6,7}:{(26,1),(73,1),(121,1)}
        49:{2,4,6,7}:{(27,1),(29,1),(74,1),(77,1),(122,1)}
        50:{1,4,6,7}:{(28,1),(75,1),(76,1),(123,1),(132,1)}
        51:{2,3,4,6,7}:{(31,1),(78,1),(79,1),(87,1),(144,1),(145,1),(178,1)}
        52:{1,3,5,7}:{(30,1),(80,1),(81,1),(94,1),(139,1)}
        53:{1,2,4,6}:{(30,1),(31,1),(81,1),(82,1),(140,1)}
        54:{2,3,5,6}:{(31,1),(79,1),(82,1),(84,1),(98,1),(141,1),(142,1)}
        55:{1,3,5,6,7}:{(33,1),(85,1),(86,1),(135,1),(137,1),(144,1)}
        56:{2,3,5,6,7}:{(34,1),(79,1),(85,1),(87,1),(97,1),(144,1)}
        57:{1,2,4,7}:{(32,1),(39,1),(80,1),(88,1)}
        58:{1,2,3,6}:{(32,1),(40,1),(81,1),(88,1)}
        59:{1,2,5,6}:{(33,1),(34,1),(36,1),(90,1),(102,1),(142,1)}
        60:{1,4,6}:{(33,1),(37,1),(91,1)}
        61:{2,4,6}:{(34,1),(38,1),(92,1)}
        62:{1,2,3,5,7}:{(35,1),(36,1),(44,1),(89,1),(93,1),(94,1),(104,1),(135,1),(153,1),(180,1),(189,1)}
        63:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(90,1),(93,1),(94,1),(95,1),(96,1),(147,1),(153,1)}
        64:{3,4,5,7}:{(37,1),(91,1),(94,1),(95,1),(137,1),(178,1),(181,1)}
        65:{3,4,5,7}:{(38,1),(47,1),(92,1),(94,1),(96,1),(103,1),(154,1)}
        66:{2,4,5,6,7}:{(43,1),(87,1),(97,1)}
        67:{2,3,4,6}:{(39,1),(40,1),(88,1),(98,1),(99,1),(148,1)}
        68:{2,3,5,6}:{(40,1),(41,1),(44,1),(98,1),(99,1),(100,1)}
        69:{1,2,4,5,6}:{(41,1),(42,1),(43,1),(45,1),(90,1),(99,1),(100,1),(101,1),(102,1),(147,1),(155,1),(157,1)}
        70:{3,4,5,6}:{(42,1),(46,1),(91,1),(100,1),(101,1),(181,1)}
        71:{3,5,6}:{(43,1),(47,1),(92,1),(102,1)}
        72:{2,4,7}:{(44,1),(99,1),(103,1)}
        73:{3,5,7}:{(45,1),(48,1),(100,1),(103,1)}
        74:{2,4,5,7}:{(46,1),(49,1),(101,1),(105,1)}
        75:{1,5,7}:{(47,1),(50,1),(102,1)}
        76:{1,3,6,7}:{(48,1),(50,1),(104,1),(106,1),(149,1)}
        77:{2,3,6,7}:{(48,1),(49,1),(105,1),(106,1),(150,1)}
        78:{1,2,4,6,7}:{(51,1),(53,1),(107,1),(108,1),(159,1)}
        79:{2,3,5,7}:{(51,1),(54,1),(108,1),(110,1),(160,1),(161,1)}
        80:{1,3,4,7}:{(52,1),(57,1),(111,1),(124,1),(159,1)}
        81:{1,3,6}:{(52,1),(53,1),(121,1)}
        82:{1,2,5,6}:{(53,1),(54,1),(108,1),(112,1),(119,1)}
        83:{1,4,5,6}:{(60,1),(109,1),(114,1)}
        84:{2,4,5,6}:{(54,1),(61,1),(110,1),(115,1),(128,1)}
        85:{1,2,5,6,7}:{(55,1),(56,1),(59,1),(108,1),(116,1),(127,1),(161,1)}
        86:{1,4,6,7}:{(55,1),(60,1),(109,1),(117,1),(159,1)}
        87:{2,4,6,7}:{(56,1),(61,1),(110,1),(118,1)}
        88:{1,2,4,6}:{(57,1),(58,1),(67,1),(111,1),(119,1)}
        89:{1,2,3,5,6}:{(58,1),(59,1),(62,1),(68,1),(112,1),(119,1),(120,1),(121,1),(130,1),(166,1),(169,1),(172,1),(198,1),(199,1)}
        90:{1,2,4,6}:{(59,1),(60,1),(61,1),(63,1),(121,1),(122,1),(123,1),(172,1)}
        91:{3,4,6}:{(60,1),(64,1),(114,1),(121,1),(122,1)}
        92:{3,4,6}:{(61,1),(65,1),(71,1),(121,1),(123,1)}
        93:{1,2,4,7}:{(62,1),(72,1),(120,1),(124,1),(132,1),(159,1),(193,1)}
        94:{3,5,7}:{(63,1),(121,1),(124,1),(169,1)}
        95:{2,4,5,7}:{(64,1),(122,1),(126,1),(161,1),(193,1),(196,1)}
        96:{1,4,5,7}:{(65,1),(75,1),(123,1),(125,1),(132,1),(174,1)}
        97:{3,5,6,7}:{(66,1),(71,1),(118,1),(127,1)}
        98:{2,3,5}:{(67,1),(119,1),(128,1),(169,1)}
        99:{2,4,6}:{(68,1),(72,1),(128,1),(129,1)}
       100:{3,5,6}:{(69,1),(73,1),(121,1),(129,1),(169,1)}
       101:{2,4,5,6}:{(70,1),(74,1),(122,1),(131,1),(196,1)}
       102:{1,5,6}:{(71,1),(75,1),(123,1)}
       103:{3,4,7}:{(72,1),(73,1),(129,1),(132,1)}
       104:{1,3,5,7}:{(73,1),(75,1),(76,1),(130,1),(132,1),(134,1),(177,1)}
       105:{2,3,5,7}:{(73,1),(74,1),(77,1),(131,1),(133,1),(134,1)}
       106:{1,2,6,7}:{(76,1),(77,1),(134,1),(172,1)}
       107:{1,3,6,7}:{(78,1),(81,1),(135,1),(144,1)}
       108:{1,2,5,7}:{(78,1),(79,1),(82,1),(135,1)}
       109:{1,4,5,7}:{(83,1),(86,1),(137,1)}
       110:{2,4,5,7}:{(79,1),(84,1),(87,1),(138,1)}
       111:{1,3,4,6}:{(80,1),(81,1),(88,1),(139,1),(140,1),(148,1)}
       112:{1,3,5,6}:{(81,1),(82,1),(135,1),(139,1),(140,1),(141,1)}
       113:{1,2,4,5,6}:{(82,1),(83,1),(84,1),(90,1),(136,1),(140,1),(141,1),(142,1),(143,1),(147,1),(183,1),(184,1)}
       114:{3,5,6}:{(83,1),(91,1),(137,1),(142,1)}
       115:{3,4,5,6}:{(84,1),(92,1),(138,1),(141,1),(143,1),(154,1)}
       116:{1,2,4,6,7}:{(85,1),(86,1),(87,1),(90,1),(136,1),(144,1),(145,1),(146,1),(185,1)}
       117:{3,4,6,7}:{(86,1),(91,1),(137,1),(144,1),(145,1),(178,1)}
       118:{3,4,6,7}:{(87,1),(92,1),(97,1),(138,1),(144,1),(146,1)}
       119:{1,2,5}:{(88,1),(98,1),(139,1)}
       120:{1,2,4,6}:{(89,1),(93,1),(99,1),(140,1),(147,1),(148,1),(155,1),(183,1)}
       121:{3,6}:{(90,1),(94,1)}
       122:{2,4,6}:{(91,1),(95,1),(142,1),(150,1)}
       123:{1,4,6}:{(92,1),(96,1),(102,1),(149,1)}
       124:{3,4,7}:{(93,1),(94,1),(148,1)}
       125:{1,3,5,7}:{(94,1),(96,1),(149,1),(151,1),(153,1),(186,1)}
       126:{2,3,5,7}:{(94,1),(95,1),(150,1),(152,1),(153,1),(187,1)}
       127:{1,5,6,7}:{(97,1),(102,1),(146,1)}
       128:{2,4,5}:{(98,1),(99,1),(154,1)}
       129:{3,4,6}:{(99,1),(100,1),(103,1),(154,1),(155,1)}
       130:{1,3,5,6}:{(100,1),(102,1),(104,1),(149,1),(155,1),(157,1),(186,1),(191,1)}
       131:{2,3,5,6}:{(100,1),(101,1),(105,1),(150,1),(156,1),(157,1),(187,1)}
       132:{1,4,7}:{(103,1),(104,1),(155,1)}
       133:{2,3,4,7}:{(103,1),(105,1),(156,1),(158,1)}
       134:{1,2,5,7}:{(104,1),(105,1),(106,1),(157,1),(158,1)}
       135:{1,3,5,7}:{(107,1),(108,1),(112,1),(159,1),(160,1)}
       136:{1,2,4,5,7}:{(108,1),(109,1),(110,1),(113,1),(116,1),(159,1),(160,1),(161,1),(162,1),(193,1),(194,1)}
       137:{3,5,7}:{(109,1),(114,1),(117,1),(161,1)}
       138:{3,4,5,7}:{(110,1),(115,1),(118,1),(160,1),(162,1)}
       139:{1,3,5}:{(111,1),(119,1),(163,1),(169,1)}
       140:{1,4,6}:{(112,1),(159,1),(163,1),(164,1)}
       141:{3,5,6}:{(113,1),(121,1),(160,1),(164,1),(169,1)}
       142:{2,5,6}:{(114,1),(122,1),(161,1)}
       143:{1,4,5,6}:{(115,1),(123,1),(162,1),(165,1),(174,1)}
       144:{3,6,7}:{(116,1),(121,1),(160,1)}
       145:{2,4,6,7}:{(117,1),(122,1),(161,1),(168,1),(193,1)}
       146:{1,4,6,7}:{(118,1),(123,1),(127,1),(162,1),(167,1)}
       147:{1,2,4,5}:{(119,1),(120,1),(128,1),(163,1),(169,1),(174,1),(196,1),(198,1)}
       148:{3,4,6}:{(120,1),(121,1),(124,1),(169,1)}
       149:{1,3,6}:{(121,1),(123,1),(125,1),(172,1)}
       150:{2,3,6}:{(121,1),(122,1),(126,1),(172,1)}
       151:{1,3,4,7}:{(124,1),(125,1),(132,1),(170,1),(173,1),(177,1)}
       152:{2,3,4,7}:{(124,1),(126,1),(171,1),(173,1),(193,1),(206,1)}
       153:{1,2,5,7}:{(125,1),(126,1),(172,1),(173,1),(198,1)}
       154:{3,4,5}:{(128,1),(129,1),(169,1),(174,1)}
       155:{1,4,6}:{(129,1),(130,1),(132,1),(174,1)}
       156:{2,3,4,6}:{(129,1),(131,1),(133,1),(175,1),(176,1)}
       157:{1,2,5,6}:{(130,1),(131,1),(134,1),(172,1),(176,1),(198,1)}
       158:{1,2,4,7}:{(132,1),(133,1),(134,1),(176,1),(177,1)}
       159:{1,4,7}:{(135,1),(140,1),(178,1)}
       160:{3,5,7}:{(136,1),(141,1),(144,1),(178,1)}
       161:{2,5,7}:{(137,1),(142,1),(145,1)}
       162:{1,4,5,7}:{(138,1),(143,1),(146,1),(179,1)}
       163:{1,4,5}:{(139,1),(140,1),(181,1)}
       164:{3,4,6}:{(140,1),(141,1),(178,1),(181,1),(183,1)}
       165:{1,3,5,6}:{(141,1),(143,1),(149,1),(179,1),(182,1),(184,1),(186,1)}
       166:{2,3,5,6}:{(141,1),(142,1),(150,1),(180,1),(183,1),(184,1),(187,1),(203,1)}
       167:{1,3,6,7}:{(144,1),(146,1),(149,1),(179,1),(185,1)}
       168:{2,3,6,7}:{(144,1),(145,1),(150,1),(180,1),(185,1)}
       169:{3,5}:{(147,1),(148,1)}
       170:{1,3,4,6}:{(148,1),(149,1),(151,1),(155,1),(186,1),(188,1),(191,1),(205,1)}
       171:{2,3,4,6}:{(148,1),(150,1),(152,1),(183,1),(187,1),(188,1),(203,1),(209,1)}
       172:{1,2,6}:{(149,1),(150,1),(153,1)}
       173:{1,2,4,7}:{(151,1),(152,1),(153,1),(188,1),(189,1)}
       174:{1,4,5}:{(154,1),(155,1),(186,1)}
       175:{2,3,4,5}:{(154,1),(156,1),(187,1),(190,1),(209,1)}
       176:{1,2,4,6}:{(155,1),(156,1),(157,1),(158,1),(190,1),(191,1)}
       177:{1,3,7}:{(158,1),(191,1)}
       178:{3,4,7}:{(159,1),(160,1),(164,1),(193,1)}
       179:{1,3,5,7}:{(160,1),(162,1),(165,1),(167,1),(192,1),(194,1)}
       180:{2,3,5,7}:{(160,1),(161,1),(166,1),(168,1),(193,1),(194,1),(206,1)}
       181:{3,4,5}:{(163,1),(164,1),(169,1),(196,1)}
       182:{1,3,4,6}:{(164,1),(165,1),(192,1),(195,1),(197,1)}
       183:{2,4,6}:{(164,1),(166,1),(193,1),(196,1)}
       184:{1,2,5,6}:{(165,1),(166,1),(172,1),(194,1),(197,1),(198,1)}
       185:{1,2,6,7}:{(167,1),(168,1),(172,1),(194,1)}
       186:{1,3,5}:{(169,1),(170,1),(174,1),(198,1)}
       187:{2,3,5}:{(169,1),(171,1),(196,1),(198,1)}
       188:{1,2,4,6}:{(170,1),(171,1),(172,1),(173,1),(198,1),(199,1),(208,1)}
       189:{1,2,3,7}:{(173,1),(177,1),(199,1),(206,1)}
       190:{1,2,4,5}:{(174,1),(175,1),(176,1),(198,1),(200,1),(208,1)}
       191:{1,3,6}:{(176,1),(177,1),(200,1)}
       192:{1,3,4,7}:{(178,1),(179,1),(182,1),(201,1)}
       193:{2,4,7}:{(178,1),(180,1),(183,1)}
       194:{1,2,5,7}:{(179,1),(180,1),(184,1),(185,1),(201,1)}
       195:{1,3,4,5}:{(181,1),(182,1),(186,1),(202,1),(205,1)}
       196:{2,4,5}:{(181,1),(183,1),(187,1)}
       197:{1,2,4,6}:{(182,1),(183,1),(184,1),(201,1),(202,1),(203,1)}
       198:{1,2,5}:{(186,1),(187,1),(188,1)}
       199:{1,2,3,6}:{(188,1),(189,1),(191,1),(203,1),(204,1)}
       200:{1,3,5}:{(190,1),(191,1),(205,1)}
       201:{1,2,4,7}:{(192,1),(193,1),(194,1),(197,1),(206,1)}
       202:{1,2,4,5}:{(195,1),(196,1),(197,1),(198,1),(207,1),(208,1)}
       203:{2,3,6}:{(197,1),(206,1),(207,1)}
       204:{1,2,3,5}:{(198,1),(199,1),(200,1),(207,1),(208,1)}
       205:{1,3,4}:{(200,1),(208,1)}
       206:{2,3,7}:{(201,1),(203,1)}
       207:{2,3,5}:{(202,1),(203,1),(209,1)}
       208:{1,2,4}:{(204,1),(205,1),(209,1)}
       209:{2,3,4}:{(207,1),(208,1)}

1930 :   0:{1,3,4,6,7}:{(2,1),(3,1),(14,1),(39,1),(42,1),(45,1),(70,1),(73,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(40,1),(42,1),(45,1),(71,1),(74,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(26,1),(29,1),(55,1),(56,1),(84,1),(87,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(30,1),(49,1),(85,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(8,1),(10,1),(30,1),(50,1),(86,1)}
         5:{1,3,5,6}:{(3,1),(13,1),(14,1),(36,1),(42,1)}
         6:{2,3,5,6}:{(4,1),(13,1),(15,1),(37,1),(42,1)}
         7:{1,2,3,6,7}:{(2,1),(16,1),(42,1),(70,1),(71,1),(75,1),(96,1),(101,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(4,1),(13,1),(65,1),(66,1),(95,1)}
         9:{1,4,5,7}:{(3,1),(14,1),(18,1),(89,1),(92,1)}
        10:{2,4,5,7}:{(4,1),(15,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(5,1),(22,1),(23,1),(49,1),(54,1),(78,1)}
        12:{2,3,5,6,7}:{(6,1),(22,1),(24,1),(50,1),(54,1),(79,1)}
        13:{1,2,5,6}:{(5,1),(6,1),(8,1),(26,1),(52,1),(53,1)}
        14:{1,4,6}:{(5,1),(9,1),(27,1)}
        15:{2,4,6}:{(6,1),(10,1),(28,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(25,1),(29,1),(30,1),(63,1),(78,1),(79,1),(88,1),(100,1)}
        17:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(26,1),(29,1),(30,1),(31,1),(32,1),(57,1),(63,1),(97,1),(98,1)}
        18:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(49,1),(77,1),(80,1)}
        19:{3,4,5,7}:{(10,1),(28,1),(30,1),(32,1),(50,1),(77,1),(80,1)}
        20:{1,4,5,6}:{(14,1),(33,1),(36,1)}
        21:{2,4,5,6}:{(15,1),(34,1),(37,1)}
        22:{1,2,5,6,7}:{(11,1),(12,1),(13,1),(38,1),(65,1),(66,1),(91,1)}
        23:{1,4,6,7}:{(11,1),(14,1),(33,1),(39,1),(89,1)}
        24:{2,4,6,7}:{(12,1),(15,1),(34,1),(40,1),(90,1)}
        25:{1,2,3,5,6}:{(13,1),(16,1),(41,1),(42,1),(68,1),(69,1),(72,1),(75,1),(95,1),(96,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(42,1),(43,1),(44,1),(75,1)}
        27:{3,4,6}:{(14,1),(18,1),(36,1),(42,1),(43,1)}
        28:{3,4,6}:{(15,1),(19,1),(37,1),(42,1),(44,1)}
        29:{1,2,4,7}:{(16,1),(41,1),(45,1),(89,1),(90,1),(103,1)}
        30:{3,5,7}:{(17,1),(42,1),(45,1),(72,1),(101,1),(102,1)}
        31:{2,4,5,7}:{(18,1),(43,1),(47,1),(65,1),(90,1),(93,1)}
        32:{1,4,5,7}:{(19,1),(44,1),(46,1),(66,1),(89,1),(92,1)}
        33:{1,4,5,7}:{(20,1),(23,1),(49,1)}
        34:{2,4,5,7}:{(21,1),(24,1),(50,1)}
        35:{1,2,4,5,6}:{(20,1),(21,1),(26,1),(48,1),(51,1),(52,1),(53,1),(57,1),(81,1),(82,1),(83,1)}
        36:{3,5,6}:{(20,1),(27,1),(49,1),(52,1)}
        37:{3,5,6}:{(21,1),(28,1),(50,1),(53,1)}
        38:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(26,1),(48,1),(54,1),(55,1),(56,1),(84,1),(97,1)}
        39:{3,4,6,7}:{(23,1),(27,1),(49,1),(54,1),(55,1),(77,1)}
        40:{3,4,6,7}:{(24,1),(28,1),(50,1),(54,1),(56,1),(77,1)}
        41:{1,2,4,6}:{(25,1),(29,1),(57,1),(58,1),(81,1),(82,1)}
        42:{3,6}:{(26,1),(30,1)}
        43:{2,4,6}:{(27,1),(31,1),(52,1),(60,1)}
        44:{1,4,6}:{(28,1),(32,1),(53,1),(59,1)}
        45:{3,4,7}:{(29,1),(30,1),(58,1),(104,1)}
        46:{1,3,5,7}:{(30,1),(32,1),(59,1),(61,1),(63,1),(85,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(60,1),(62,1),(63,1),(86,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(38,1),(64,1),(65,1),(66,1),(89,1),(90,1),(91,1)}
        49:{3,5,7}:{(33,1),(36,1),(39,1),(65,1)}
        50:{3,5,7}:{(34,1),(37,1),(40,1),(66,1)}
        51:{3,5,6}:{(35,1),(42,1),(64,1),(67,1),(72,1)}
        52:{2,5,6}:{(36,1),(43,1),(65,1)}
        53:{1,5,6}:{(37,1),(44,1),(66,1)}
        54:{3,6,7}:{(38,1),(42,1),(64,1),(101,1)}
        55:{2,4,6,7}:{(39,1),(43,1),(65,1),(71,1),(90,1)}
        56:{1,4,6,7}:{(40,1),(44,1),(66,1),(70,1),(89,1)}
        57:{1,2,4,5}:{(41,1),(72,1),(92,1),(93,1),(95,1)}
        58:{3,4,6}:{(41,1),(42,1),(45,1),(72,1)}
        59:{1,3,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{2,3,6}:{(42,1),(43,1),(47,1),(75,1)}
        61:{1,3,4,7}:{(45,1),(46,1),(73,1),(76,1),(89,1),(101,1)}
        62:{2,3,4,7}:{(45,1),(47,1),(74,1),(76,1),(90,1),(101,1)}
        63:{1,2,5,7}:{(46,1),(47,1),(75,1),(76,1),(95,1)}
        64:{3,5,7}:{(48,1),(51,1),(54,1),(77,1)}
        65:{2,5,7}:{(49,1),(52,1),(55,1)}
        66:{1,5,7}:{(50,1),(53,1),(56,1)}
        67:{3,4,6}:{(51,1),(77,1),(80,1),(81,1),(82,1),(99,1)}
        68:{1,3,5,6}:{(51,1),(53,1),(59,1),(78,1),(81,1),(83,1),(85,1),(99,1)}
        69:{2,3,5,6}:{(51,1),(52,1),(60,1),(79,1),(82,1),(83,1),(86,1),(99,1)}
        70:{1,3,6,7}:{(54,1),(56,1),(59,1),(78,1),(84,1)}
        71:{2,3,6,7}:{(54,1),(55,1),(60,1),(79,1),(84,1)}
        72:{3,5}:{(57,1),(58,1)}
        73:{1,3,4,6}:{(58,1),(59,1),(61,1),(81,1),(85,1),(87,1),(99,1),(104,1)}
        74:{2,3,4,6}:{(58,1),(60,1),(62,1),(82,1),(86,1),(87,1),(99,1),(104,1)}
        75:{1,2,6}:{(59,1),(60,1),(63,1)}
        76:{1,2,4,7}:{(61,1),(62,1),(63,1),(87,1),(88,1)}
        77:{3,4,7}:{(64,1),(67,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(66,1),(68,1),(70,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(69,1),(71,1),(90,1),(91,1),(101,1)}
        80:{3,4,5}:{(67,1),(72,1),(92,1),(93,1),(102,1)}
        81:{1,4,6}:{(67,1),(68,1),(89,1),(92,1)}
        82:{2,4,6}:{(67,1),(69,1),(90,1),(93,1)}
        83:{1,2,5,6}:{(68,1),(69,1),(75,1),(91,1),(94,1),(95,1)}
        84:{1,2,6,7}:{(70,1),(71,1),(75,1),(91,1)}
        85:{1,3,5}:{(72,1),(73,1),(92,1),(95,1),(102,1)}
        86:{2,3,5}:{(72,1),(74,1),(93,1),(95,1),(102,1)}
        87:{1,2,4,6}:{(73,1),(74,1),(75,1),(76,1),(95,1),(96,1),(103,1)}
        88:{1,2,3,7}:{(76,1),(96,1),(101,1)}
        89:{1,4,7}:{(77,1),(78,1),(81,1)}
        90:{2,4,7}:{(77,1),(79,1),(82,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(83,1),(84,1),(97,1)}
        92:{1,4,5}:{(80,1),(81,1),(85,1)}
        93:{2,4,5}:{(80,1),(82,1),(86,1)}
        94:{1,2,4,6}:{(81,1),(82,1),(83,1),(97,1),(98,1),(99,1)}
        95:{1,2,5}:{(85,1),(86,1),(87,1)}
        96:{1,2,3,6}:{(87,1),(88,1),(99,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(94,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
        99:{3,6}:{(94,1),(101,1),(102,1)}
       100:{1,2,3,5}:{(95,1),(96,1),(102,1),(103,1)}
       101:{3,7}:{(97,1),(99,1)}
       102:{3,5}:{(98,1),(99,1),(104,1)}
       103:{1,2,4}:{(100,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

1931 :   0:{4,5,6,7}:{(4,1),(76,1),(115,1)}
         1:{3,4,5,6}:{(5,1),(6,1),(7,1),(39,1),(83,1),(115,1),(121,1)}
         2:{2,3,4,5}:{(8,1),(9,1),(47,1),(83,1),(91,1)}
         3:{1,3,4,5}:{(10,1),(11,1),(44,1),(83,1),(89,1)}
         4:{3,5,6,7}:{(0,1),(14,1),(15,1),(16,1),(128,1)}
         5:{3,4,5,7}:{(1,1),(14,1),(19,1),(20,1),(60,1),(97,1)}
         6:{1,4,5,6}:{(1,1),(18,1),(19,1),(101,1),(132,1)}
         7:{2,4,5,6}:{(1,1),(17,1),(20,1),(103,1),(133,1)}
         8:{2,3,4,6}:{(2,1),(17,1),(22,1),(23,1),(61,1)}
         9:{1,2,4,5}:{(2,1),(23,1),(24,1),(64,1),(101,1),(107,1)}
        10:{1,3,4,6}:{(3,1),(18,1),(25,1),(26,1),(61,1)}
        11:{1,2,4,5}:{(3,1),(26,1),(27,1),(64,1),(103,1),(107,1)}
        12:{1,2,3,5,6}:{(28,1),(29,1),(57,1),(59,1),(63,1),(70,1),(72,1),(107,1),(110,1),(134,1)}
        13:{1,2,3,6,7}:{(28,1),(30,1),(94,1),(95,1),(110,1),(134,1)}
        14:{3,4,6,7}:{(4,1),(5,1),(31,1),(32,1),(75,1),(76,1),(121,1)}
        15:{1,5,6,7}:{(4,1),(31,1),(137,1)}
        16:{2,5,6,7}:{(4,1),(32,1),(138,1)}
        17:{2,3,5,6}:{(7,1),(8,1),(34,1),(35,1),(39,1),(91,1),(124,1)}
        18:{1,3,5,6}:{(6,1),(10,1),(36,1),(37,1),(39,1),(89,1),(123,1)}
        19:{1,4,5,7}:{(5,1),(6,1),(31,1),(36,1)}
        20:{2,4,5,7}:{(5,1),(7,1),(32,1),(34,1)}
        21:{1,2,4,5,6}:{(6,1),(7,1),(35,1),(37,1),(38,1),(39,1),(50,1),(79,1),(81,1),(93,1),(115,1),(118,1),(137,1),(138,1),(140,1)}
        22:{2,3,4,7}:{(8,1),(34,1),(42,1),(82,1)}
        23:{1,2,4,6}:{(8,1),(9,1),(35,1),(42,1),(43,1),(79,1)}
        24:{1,3,5}:{(9,1),(43,1),(44,1)}
        25:{1,3,4,7}:{(10,1),(36,1),(45,1),(82,1)}
        26:{1,2,4,6}:{(10,1),(11,1),(37,1),(45,1),(46,1),(81,1)}
        27:{2,3,5}:{(11,1),(46,1),(47,1)}
        28:{1,2,3,5,7}:{(12,1),(13,1),(49,1),(51,1),(78,1),(80,1),(86,1),(92,1),(122,1)}
        29:{1,2,4,6}:{(12,1),(48,1),(49,1),(50,1),(79,1),(81,1)}
        30:{1,2,4,6,7}:{(13,1),(40,1),(49,1),(51,1),(93,1),(112,1),(113,1)}
        31:{1,4,6,7}:{(14,1),(15,1),(19,1),(53,1),(132,1)}
        32:{2,4,6,7}:{(14,1),(16,1),(20,1),(52,1),(133,1)}
        33:{1,2,5,6,7}:{(15,1),(16,1),(54,1),(55,1),(72,1),(126,1),(127,1),(142,1)}
        34:{2,3,5,7}:{(17,1),(20,1),(22,1),(52,1),(56,1),(60,1)}
        35:{1,2,5,6}:{(17,1),(23,1),(56,1),(57,1),(107,1),(134,1)}
        36:{1,3,5,7}:{(18,1),(19,1),(25,1),(53,1),(58,1),(60,1)}
        37:{1,2,5,6}:{(18,1),(26,1),(58,1),(59,1),(107,1),(134,1)}
        38:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(54,1),(56,1),(58,1),(60,1),(97,1),(100,1),(102,1),(126,1),(127,1)}
        39:{3,5,6}:{(21,1),(60,1),(61,1),(70,1),(110,1),(130,1),(143,1)}
        40:{3,4,6,7}:{(30,1),(62,1),(69,1),(105,1),(110,1)}
        41:{1,2,3,5}:{(24,1),(27,1),(63,1),(64,1),(107,1)}
        42:{1,2,4,7}:{(22,1),(23,1),(56,1),(65,1),(100,1)}
        43:{1,3,6}:{(23,1),(24,1),(65,1)}
        44:{1,3,4}:{(24,1),(64,1)}
        45:{1,2,4,7}:{(25,1),(26,1),(58,1),(67,1),(102,1)}
        46:{2,3,6}:{(26,1),(27,1),(67,1)}
        47:{2,3,4}:{(27,1),(64,1)}
        48:{3,4,6}:{(29,1),(69,1),(70,1),(110,1)}
        49:{1,2,4,7}:{(28,1),(29,1),(69,1),(100,1),(102,1)}
        50:{1,2,4,5}:{(29,1),(70,1),(101,1),(103,1),(107,1)}
        51:{1,2,5,7}:{(30,1),(62,1),(72,1),(126,1),(127,1)}
        52:{2,3,6,7}:{(32,1),(34,1),(73,1),(75,1),(124,1)}
        53:{1,3,6,7}:{(31,1),(36,1),(74,1),(75,1),(123,1)}
        54:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(38,1),(73,1),(74,1),(75,1),(76,1),(93,1),(112,1),(113,1),(140,1)}
        55:{3,5,6,7}:{(33,1),(75,1),(76,1),(85,1),(114,1),(145,1)}
        56:{1,2,5,7}:{(34,1),(35,1),(42,1),(73,1),(78,1)}
        57:{1,3,5,6}:{(35,1),(39,1),(43,1),(78,1),(79,1),(89,1),(123,1),(137,1)}
        58:{1,2,5,7}:{(36,1),(37,1),(45,1),(74,1),(80,1)}
        59:{2,3,5,6}:{(37,1),(39,1),(46,1),(80,1),(81,1),(91,1),(124,1),(138,1)}
        60:{3,5,7}:{(38,1),(39,1),(75,1),(82,1)}
        61:{3,4,6}:{(39,1),(79,1),(81,1),(82,1),(83,1)}
        62:{3,5,7}:{(40,1),(51,1),(84,1),(85,1)}
        63:{1,2,3,6}:{(41,1),(43,1),(46,1),(86,1),(87,1)}
        64:{1,2,4}:{(41,1),(44,1),(47,1)}
        65:{1,3,7}:{(42,1),(43,1)}
        66:{1,3,4,6}:{(43,1),(44,1),(48,1),(79,1),(87,1),(88,1),(89,1),(116,1),(123,1)}
        67:{2,3,7}:{(45,1),(46,1)}
        68:{2,3,4,6}:{(46,1),(47,1),(48,1),(81,1),(87,1),(90,1),(91,1),(116,1),(124,1)}
        69:{3,4,7}:{(48,1),(49,1),(92,1)}
        70:{3,5}:{(48,1),(50,1)}
        71:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(84,1),(92,1),(93,1),(119,1),(120,1),(122,1)}
        72:{1,2,5,6}:{(51,1),(85,1),(93,1),(137,1),(138,1)}
        73:{1,2,6,7}:{(52,1),(56,1),(94,1),(134,1)}
        74:{1,2,6,7}:{(53,1),(58,1),(95,1),(134,1)}
        75:{3,6,7}:{(54,1),(60,1),(110,1),(143,1)}
        76:{4,6,7}:{(55,1),(97,1),(105,1),(146,1)}
        77:{1,2,3,5,6}:{(57,1),(59,1),(63,1),(98,1),(99,1),(107,1),(130,1),(134,1),(142,1),(143,1)}
        78:{1,3,5,7}:{(56,1),(57,1),(60,1),(65,1),(94,1),(100,1),(126,1)}
        79:{1,4,6}:{(57,1),(61,1),(100,1),(101,1)}
        80:{2,3,5,7}:{(58,1),(59,1),(60,1),(67,1),(95,1),(102,1),(127,1)}
        81:{2,4,6}:{(59,1),(61,1),(102,1),(103,1)}
        82:{3,4,7}:{(60,1),(61,1),(100,1),(102,1)}
        83:{3,4,5}:{(61,1),(70,1),(101,1),(103,1),(130,1)}
        84:{4,5,7}:{(62,1),(105,1)}
        85:{3,5,6}:{(62,1),(72,1),(105,1),(110,1)}
        86:{1,2,3,7}:{(63,1),(65,1),(67,1),(106,1)}
        87:{1,2,4,6}:{(63,1),(64,1),(66,1),(68,1),(106,1),(107,1),(134,1)}
        88:{1,3,4,7}:{(65,1),(66,1),(69,1),(100,1),(106,1),(108,1),(129,1)}
        89:{1,3,5}:{(66,1),(70,1),(101,1),(107,1),(130,1)}
        90:{2,3,4,7}:{(67,1),(68,1),(69,1),(102,1),(106,1),(109,1),(129,1)}
        91:{2,3,5}:{(68,1),(70,1),(103,1),(107,1),(130,1)}
        92:{3,5,7}:{(69,1),(70,1),(71,1),(110,1)}
        93:{1,2,4,6}:{(71,1),(72,1),(105,1),(110,1),(132,1),(133,1),(134,1)}
        94:{1,3,6,7}:{(73,1),(75,1),(78,1),(112,1),(123,1)}
        95:{2,3,6,7}:{(74,1),(75,1),(80,1),(113,1),(124,1)}
        96:{3,4,6,7}:{(75,1),(76,1),(82,1),(112,1),(113,1),(114,1),(121,1)}
        97:{4,5,7}:{(76,1),(114,1),(115,1)}
        98:{1,2,3,5,7}:{(77,1),(78,1),(80,1),(86,1),(111,1),(117,1),(122,1),(136,1),(139,1)}
        99:{1,2,4,6}:{(77,1),(79,1),(81,1),(116,1),(117,1),(118,1)}
       100:{1,4,7}:{(78,1),(79,1),(82,1)}
       101:{1,4,5}:{(79,1),(83,1),(89,1)}
       102:{2,4,7}:{(80,1),(81,1),(82,1)}
       103:{2,4,5}:{(81,1),(83,1),(91,1)}
       104:{3,4,5,7}:{(82,1),(83,1),(84,1),(92,1),(114,1),(119,1),(120,1),(121,1),(139,1),(144,1)}
       105:{4,6}:{(84,1),(85,1)}
       106:{1,2,4,7}:{(86,1),(87,1),(88,1),(90,1),(122,1)}
       107:{1,2,5}:{(87,1),(89,1),(91,1)}
       108:{1,3,5,7}:{(88,1),(89,1),(92,1),(119,1),(122,1),(123,1),(139,1)}
       109:{2,3,5,7}:{(90,1),(91,1),(92,1),(120,1),(122,1),(124,1),(139,1)}
       110:{3,6}:{(92,1),(93,1)}
       111:{1,2,3,6,7}:{(94,1),(95,1),(98,1),(125,1),(134,1),(143,1)}
       112:{1,4,6,7}:{(94,1),(96,1),(100,1),(126,1),(132,1)}
       113:{2,4,6,7}:{(95,1),(96,1),(102,1),(127,1),(133,1)}
       114:{3,5,7}:{(96,1),(97,1),(126,1),(127,1),(128,1)}
       115:{4,5,6}:{(97,1),(105,1),(128,1),(146,1)}
       116:{3,4,6}:{(99,1),(129,1),(130,1),(143,1)}
       117:{1,2,4,7}:{(98,1),(99,1),(100,1),(102,1),(129,1)}
       118:{1,2,4,5}:{(99,1),(101,1),(103,1),(107,1),(130,1)}
       119:{1,4,5,7}:{(100,1),(101,1),(104,1),(108,1),(126,1),(132,1)}
       120:{2,4,5,7}:{(102,1),(103,1),(104,1),(109,1),(127,1),(133,1)}
       121:{3,4,6}:{(104,1),(105,1),(110,1),(128,1),(132,1),(133,1),(143,1),(146,1)}
       122:{1,2,5,7}:{(106,1),(107,1),(108,1),(109,1),(134,1)}
       123:{1,3,6}:{(108,1),(110,1),(132,1),(134,1),(143,1)}
       124:{2,3,6}:{(109,1),(110,1),(133,1),(134,1),(143,1)}
       125:{1,2,4,6,7}:{(111,1),(112,1),(113,1),(117,1),(135,1),(136,1),(140,1)}
       126:{1,5,7}:{(112,1),(114,1),(137,1)}
       127:{2,5,7}:{(113,1),(114,1),(138,1)}
       128:{3,5,6}:{(114,1),(115,1),(121,1),(137,1),(138,1)}
       129:{3,4,7}:{(116,1),(117,1),(139,1)}
       130:{3,5}:{(116,1),(118,1)}
       131:{1,2,4,5,7}:{(117,1),(118,1),(119,1),(120,1),(122,1),(136,1),(139,1),(140,1),(144,1)}
       132:{1,4,6}:{(119,1),(121,1),(123,1),(137,1)}
       133:{2,4,6}:{(120,1),(121,1),(124,1),(138,1)}
       134:{1,2,6}:{(122,1),(123,1),(124,1)}
       135:{3,4,6,7}:{(125,1),(129,1),(141,1),(143,1),(146,1)}
       136:{1,2,5,7}:{(125,1),(126,1),(127,1),(141,1),(142,1)}
       137:{1,5,6}:{(126,1),(128,1),(132,1)}
       138:{2,5,6}:{(127,1),(128,1),(133,1)}
       139:{3,5,7}:{(129,1),(130,1),(131,1),(143,1)}
       140:{1,2,4,6}:{(131,1),(132,1),(133,1),(134,1),(142,1),(143,1),(146,1)}
       141:{3,5,7}:{(135,1),(136,1),(144,1),(145,1)}
       142:{1,2,5,6}:{(136,1),(137,1),(138,1),(140,1),(145,1)}
       143:{3,6}:{(139,1),(140,1)}
       144:{4,5,7}:{(141,1),(146,1)}
       145:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

1932 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(23,1),(27,1),(28,1),(29,1),(30,1),(57,1),(94,1),(96,1),(123,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(41,1),(42,1),(112,1),(114,1),(133,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(21,1),(22,1),(23,1),(46,1),(56,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(25,1),(26,1),(29,1),(138,1)}
         4:{3,4,6,7}:{(1,1),(7,1),(24,1),(57,1),(98,1),(137,1)}
         5:{3,5,6,7}:{(2,1),(11,1),(15,1),(67,1),(78,1)}
         6:{1,2,4,5,6}:{(3,1),(15,1),(41,1),(42,1),(44,1)}
         7:{3,5,7}:{(3,1),(4,1),(15,1),(139,1)}
         8:{1,3,4,6,7}:{(4,1),(16,1),(18,1),(41,1),(73,1),(83,1),(84,1),(112,1),(118,1)}
         9:{2,3,4,6,7}:{(4,1),(17,1),(18,1),(42,1),(76,1),(83,1),(84,1),(114,1),(119,1)}
        10:{1,2,3,5,6,7}:{(19,1),(23,1),(47,1),(57,1),(64,1),(89,1),(90,1),(91,1),(92,1),(94,1),(96,1)}
        11:{3,4,6,7}:{(5,1),(20,1),(21,1),(22,1),(24,1),(57,1),(86,1),(98,1)}
        12:{1,3,5,6,7}:{(5,1),(21,1),(23,1),(27,1),(52,1),(57,1),(89,1),(94,1)}
        13:{2,3,5,6,7}:{(5,1),(22,1),(23,1),(28,1),(50,1),(57,1),(90,1),(96,1)}
        14:{3,4,5,7}:{(7,1),(24,1),(25,1),(26,1),(63,1),(98,1),(127,1)}
        15:{3,5,6}:{(6,1),(7,1),(24,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(25,1),(27,1),(29,1),(63,1),(129,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(26,1),(28,1),(29,1),(63,1),(130,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(62,1),(65,1),(128,1)}
        19:{1,2,4,6,7}:{(10,1),(31,1),(32,1),(85,1),(106,1),(107,1),(112,1),(114,1)}
        20:{3,4,5,7}:{(11,1),(35,1),(36,1),(37,1),(78,1)}
        21:{1,4,6,7}:{(11,1),(12,1),(36,1),(41,1),(106,1),(112,1)}
        22:{2,4,6,7}:{(11,1),(13,1),(37,1),(42,1),(107,1),(114,1)}
        23:{1,2,5,6,7}:{(12,1),(13,1),(38,1),(44,1),(72,1),(75,1),(109,1)}
        24:{3,4,6}:{(14,1),(15,1),(41,1),(42,1),(83,1)}
        25:{1,4,5,7}:{(14,1),(16,1),(41,1),(112,1),(134,1)}
        26:{2,4,5,7}:{(14,1),(17,1),(42,1),(114,1),(135,1)}
        27:{1,3,5,6}:{(15,1),(16,1),(41,1),(44,1),(83,1)}
        28:{2,3,5,6}:{(15,1),(17,1),(42,1),(44,1),(83,1)}
        29:{1,2,5,7}:{(16,1),(17,1),(18,1),(44,1),(136,1)}
        30:{1,2,3,6,7}:{(18,1),(45,1),(73,1),(76,1),(83,1),(116,1)}
        31:{1,2,4,5,7}:{(19,1),(46,1),(47,1),(87,1),(88,1),(91,1),(105,1)}
        32:{3,4,6,7}:{(19,1),(47,1),(57,1),(86,1),(98,1),(104,1)}
        33:{2,3,4,6,7}:{(22,1),(50,1),(51,1),(57,1),(58,1),(98,1)}
        34:{1,3,4,6,7}:{(21,1),(52,1),(53,1),(57,1),(60,1),(98,1)}
        35:{3,4,5,6}:{(20,1),(24,1),(54,1),(55,1),(86,1),(97,1),(127,1)}
        36:{1,4,5,7}:{(20,1),(21,1),(52,1),(54,1)}
        37:{2,4,5,7}:{(20,1),(22,1),(50,1),(55,1)}
        38:{1,2,4,6,7}:{(21,1),(22,1),(23,1),(56,1),(57,1),(62,1),(121,1)}
        39:{2,3,4,5,7}:{(26,1),(50,1),(58,1),(59,1),(63,1),(88,1),(98,1),(103,1),(122,1),(127,1),(130,1)}
        40:{1,3,4,5,7}:{(25,1),(52,1),(60,1),(61,1),(63,1),(87,1),(98,1),(101,1),(122,1),(127,1),(129,1)}
        41:{1,4,6}:{(24,1),(25,1),(27,1)}
        42:{2,4,6}:{(24,1),(26,1),(28,1)}
        43:{1,2,4,5,7}:{(25,1),(26,1),(29,1),(62,1),(63,1),(65,1),(105,1)}
        44:{1,2,5,6}:{(27,1),(28,1),(29,1),(62,1)}
        45:{1,2,3,5,7}:{(29,1),(30,1),(63,1),(64,1),(65,1),(94,1),(96,1)}
        46:{1,2,4,5,6}:{(31,1),(67,1),(106,1),(107,1),(109,1)}
        47:{3,5,7}:{(31,1),(32,1),(67,1),(120,1)}
        48:{1,3,4,6,7}:{(32,1),(68,1),(70,1),(73,1),(106,1),(112,1),(118,1),(131,1),(132,1)}
        49:{2,3,4,6,7}:{(32,1),(69,1),(70,1),(76,1),(107,1),(114,1),(119,1),(131,1),(132,1)}
        50:{2,3,5,7}:{(33,1),(37,1),(71,1),(72,1),(78,1)}
        51:{1,2,4,6,7}:{(33,1),(72,1),(73,1),(79,1),(112,1)}
        52:{1,3,5,7}:{(34,1),(36,1),(74,1),(75,1),(78,1)}
        53:{1,2,4,6,7}:{(34,1),(75,1),(76,1),(81,1),(114,1)}
        54:{1,4,5,6}:{(35,1),(36,1),(41,1),(74,1),(106,1),(134,1)}
        55:{2,4,5,6}:{(35,1),(37,1),(42,1),(71,1),(107,1),(135,1)}
        56:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(72,1),(75,1),(77,1),(78,1),(112,1),(114,1)}
        57:{3,6,7}:{(38,1),(78,1),(83,1),(131,1)}
        58:{2,3,4,6}:{(39,1),(42,1),(71,1),(79,1),(83,1),(107,1),(115,1),(131,1)}
        59:{1,2,4,5,7}:{(39,1),(72,1),(79,1),(80,1),(112,1),(117,1),(134,1),(136,1)}
        60:{1,3,4,6}:{(40,1),(41,1),(74,1),(81,1),(83,1),(106,1),(115,1),(131,1)}
        61:{1,2,4,5,7}:{(40,1),(75,1),(81,1),(82,1),(114,1),(117,1),(135,1),(136,1)}
        62:{1,2,4,6}:{(41,1),(42,1),(43,1),(44,1),(83,1)}
        63:{3,5,7}:{(43,1),(83,1),(84,1),(120,1)}
        64:{1,2,3,5,6}:{(44,1),(45,1),(83,1),(85,1),(111,1),(113,1),(116,1),(120,1),(136,1)}
        65:{1,2,4,7}:{(45,1),(84,1),(85,1),(112,1),(114,1)}
        66:{3,4,5,7}:{(47,1),(86,1),(87,1),(88,1),(98,1),(122,1),(127,1)}
        67:{3,5,6}:{(46,1),(47,1),(86,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(87,1),(89,1),(91,1),(122,1),(129,1)}
        69:{2,3,5,7}:{(47,1),(49,1),(88,1),(90,1),(91,1),(122,1),(130,1)}
        70:{1,2,4,6,7}:{(48,1),(49,1),(91,1),(92,1),(121,1),(124,1),(128,1)}
        71:{2,3,5,6}:{(50,1),(55,1),(58,1),(93,1),(97,1),(130,1)}
        72:{1,2,5,7}:{(50,1),(51,1),(93,1),(94,1)}
        73:{1,3,6,7}:{(51,1),(57,1),(94,1),(100,1)}
        74:{1,3,5,6}:{(52,1),(54,1),(60,1),(95,1),(97,1),(129,1)}
        75:{1,2,5,7}:{(52,1),(53,1),(95,1),(96,1)}
        76:{2,3,6,7}:{(53,1),(57,1),(96,1),(102,1)}
        77:{1,2,4,5,6}:{(54,1),(55,1),(56,1),(62,1),(93,1),(95,1),(97,1),(105,1),(121,1),(125,1),(126,1),(138,1)}
        78:{3,5,7}:{(56,1),(57,1),(97,1),(98,1)}
        79:{1,2,4,6}:{(58,1),(59,1),(93,1),(100,1),(125,1)}
        80:{1,3,5,7}:{(59,1),(63,1),(100,1),(101,1),(122,1),(129,1)}
        81:{1,2,4,6}:{(60,1),(61,1),(95,1),(102,1),(126,1)}
        82:{2,3,5,7}:{(61,1),(63,1),(102,1),(103,1),(122,1),(130,1)}
        83:{3,6}:{(62,1),(63,1)}
        84:{3,4,7}:{(63,1),(65,1),(104,1)}
        85:{1,2,4,6}:{(64,1),(65,1),(104,1),(105,1),(125,1),(126,1)}
        86:{3,4,6}:{(66,1),(67,1),(106,1),(107,1),(131,1)}
        87:{1,4,5,7}:{(66,1),(68,1),(106,1),(112,1),(134,1)}
        88:{2,4,5,7}:{(66,1),(69,1),(107,1),(114,1),(135,1)}
        89:{1,3,5,6}:{(67,1),(68,1),(106,1),(109,1),(131,1)}
        90:{2,3,5,6}:{(67,1),(69,1),(107,1),(109,1),(131,1)}
        91:{1,2,5,7}:{(68,1),(69,1),(70,1),(109,1),(136,1)}
        92:{1,2,3,6,7}:{(70,1),(73,1),(76,1),(110,1),(116,1),(131,1)}
        93:{1,2,5,6}:{(71,1),(72,1),(79,1),(111,1),(136,1)}
        94:{1,3,5,7}:{(72,1),(73,1),(78,1),(111,1),(112,1)}
        95:{1,2,5,6}:{(74,1),(75,1),(81,1),(113,1),(136,1)}
        96:{2,3,5,7}:{(75,1),(76,1),(78,1),(113,1),(114,1)}
        97:{3,5,6}:{(77,1),(78,1),(83,1),(115,1),(120,1),(131,1),(139,1)}
        98:{3,4,7}:{(78,1),(112,1),(114,1),(115,1)}
        99:{1,2,3,5,7}:{(80,1),(82,1),(116,1),(117,1),(136,1)}
       100:{1,3,6}:{(79,1),(80,1),(83,1),(131,1)}
       101:{1,3,4,7}:{(80,1),(84,1),(112,1),(117,1),(118,1),(132,1)}
       102:{2,3,6}:{(81,1),(82,1),(83,1),(131,1)}
       103:{2,3,4,7}:{(82,1),(84,1),(114,1),(117,1),(119,1),(132,1)}
       104:{3,4,6}:{(83,1),(84,1),(85,1),(120,1)}
       105:{1,2,4,5}:{(85,1),(120,1),(134,1),(135,1),(136,1)}
       106:{1,4,6}:{(86,1),(87,1),(89,1)}
       107:{2,4,6}:{(86,1),(88,1),(90,1)}
       108:{1,2,4,5,7}:{(87,1),(88,1),(91,1),(121,1),(122,1),(124,1),(138,1)}
       109:{1,2,5,6}:{(89,1),(90,1),(91,1),(121,1)}
       110:{1,2,3,5,7}:{(91,1),(92,1),(94,1),(96,1),(122,1),(123,1),(124,1)}
       111:{1,3,5,6}:{(93,1),(94,1),(97,1),(100,1),(125,1),(129,1)}
       112:{1,4,7}:{(94,1),(98,1),(125,1)}
       113:{2,3,5,6}:{(95,1),(96,1),(97,1),(102,1),(126,1),(130,1)}
       114:{2,4,7}:{(96,1),(98,1),(126,1)}
       115:{3,4,6}:{(97,1),(98,1),(125,1),(126,1),(127,1)}
       116:{1,2,3,6}:{(99,1),(100,1),(102,1),(128,1)}
       117:{1,2,4,7}:{(99,1),(101,1),(103,1),(128,1)}
       118:{1,3,4,6}:{(100,1),(101,1),(104,1),(125,1),(128,1),(129,1),(137,1)}
       119:{2,3,4,6}:{(102,1),(103,1),(104,1),(126,1),(128,1),(130,1),(137,1)}
       120:{3,5}:{(104,1),(105,1)}
       121:{1,2,4,6}:{(106,1),(107,1),(108,1),(109,1),(131,1)}
       122:{3,5,7}:{(108,1),(131,1),(132,1),(139,1)}
       123:{1,2,3,5,6}:{(109,1),(110,1),(111,1),(113,1),(116,1),(131,1),(133,1),(136,1),(139,1)}
       124:{1,2,4,7}:{(110,1),(112,1),(114,1),(132,1),(133,1)}
       125:{1,4,6}:{(111,1),(112,1),(115,1),(134,1)}
       126:{2,4,6}:{(113,1),(114,1),(115,1),(135,1)}
       127:{3,4,5}:{(115,1),(120,1),(134,1),(135,1),(139,1)}
       128:{1,2,4,6}:{(116,1),(117,1),(118,1),(119,1),(136,1)}
       129:{1,3,5}:{(118,1),(120,1),(134,1),(136,1),(139,1)}
       130:{2,3,5}:{(119,1),(120,1),(135,1),(136,1),(139,1)}
       131:{3,6}:{(121,1),(122,1)}
       132:{3,4,7}:{(122,1),(124,1),(137,1)}
       133:{1,2,4,6}:{(123,1),(124,1),(125,1),(126,1),(137,1),(138,1)}
       134:{1,4,5}:{(125,1),(127,1),(129,1)}
       135:{2,4,5}:{(126,1),(127,1),(130,1)}
       136:{1,2,5}:{(128,1),(129,1),(130,1)}
       137:{3,4,6}:{(131,1),(132,1),(133,1),(139,1)}
       138:{1,2,4,5}:{(133,1),(134,1),(135,1),(136,1),(139,1)}
       139:{3,5}:{(137,1),(138,1)}

1933 :  0:{1,3,4,5,7}:{(2,1),(3,1),(12,1),(60,1),(63,1)}
        1:{2,3,4,5,7}:{(2,1),(4,1),(13,1),(60,1),(63,1)}
        2:{1,2,4,5,7}:{(0,1),(1,1),(7,1),(8,1),(22,1),(47,1),(51,1)}
        3:{1,3,4,6}:{(0,1),(8,1),(9,1),(52,1)}
        4:{2,3,4,6}:{(1,1),(8,1),(10,1),(52,1)}
        5:{1,3,4,6,7}:{(3,1),(11,1),(12,1),(31,1),(57,1),(60,1)}
        6:{2,3,4,6,7}:{(4,1),(11,1),(13,1),(32,1),(57,1),(60,1)}
        7:{1,2,3,5,7}:{(2,1),(14,1),(15,1),(37,1)}
        8:{1,2,4,6}:{(2,1),(3,1),(4,1),(15,1),(16,1)}
        9:{1,3,5,6}:{(3,1),(12,1),(16,1),(17,1),(39,1)}
       10:{2,3,5,6}:{(4,1),(13,1),(16,1),(18,1),(39,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(8,1),(21,1),(22,1),(47,1)}
       12:{1,3,5,7}:{(5,1),(9,1),(22,1),(23,1),(48,1)}
       13:{2,3,5,7}:{(6,1),(10,1),(22,1),(24,1),(48,1)}
       14:{1,2,3,4,7}:{(7,1),(25,1),(47,1),(81,1)}
       15:{1,2,3,6}:{(7,1),(8,1)}
       16:{1,2,5,6}:{(8,1),(9,1),(10,1),(22,1)}
       17:{1,4,5,6}:{(9,1),(23,1),(28,1)}
       18:{2,4,5,6}:{(10,1),(24,1),(29,1)}
       19:{1,3,5,6,7}:{(12,1),(30,1),(31,1),(55,1),(57,1)}
       20:{2,3,5,6,7}:{(13,1),(30,1),(32,1),(56,1),(57,1)}
       21:{1,2,3,6,7}:{(11,1),(15,1),(33,1),(57,1),(77,1)}
       22:{1,2,5,7}:{(11,1),(12,1),(13,1),(16,1)}
       23:{1,4,5,7}:{(12,1),(17,1),(31,1),(35,1)}
       24:{2,4,5,7}:{(13,1),(18,1),(32,1),(36,1)}
       25:{1,2,3,4,6}:{(14,1),(15,1),(37,1),(38,1),(80,1),(83,1)}
       26:{1,2,3,5,6}:{(15,1),(16,1),(33,1),(37,1),(38,1),(39,1),(66,1),(80,1)}
       27:{1,2,4,5,6}:{(16,1),(17,1),(18,1),(34,1),(38,1),(39,1),(40,1),(41,1),(66,1)}
       28:{3,4,5,6}:{(17,1),(35,1),(39,1),(40,1)}
       29:{3,4,5,6}:{(18,1),(36,1),(39,1),(41,1)}
       30:{1,2,5,6,7}:{(19,1),(20,1),(22,1),(44,1),(67,1),(68,1)}
       31:{1,4,6,7}:{(19,1),(23,1),(45,1)}
       32:{2,4,6,7}:{(20,1),(24,1),(46,1)}
       33:{1,2,3,5,7}:{(21,1),(22,1),(26,1),(47,1),(48,1),(73,1),(81,1)}
       34:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(27,1),(44,1),(47,1),(48,1),(49,1),(50,1),(73,1)}
       35:{3,4,5,7}:{(23,1),(28,1),(45,1),(48,1),(49,1)}
       36:{3,4,5,7}:{(24,1),(29,1),(46,1),(48,1),(50,1)}
       37:{1,2,3,5}:{(25,1),(51,1)}
       38:{1,2,4,6}:{(26,1),(47,1),(51,1),(52,1)}
       39:{3,5,6}:{(27,1),(48,1),(52,1)}
       40:{2,4,5,6}:{(28,1),(49,1),(54,1)}
       41:{1,4,5,6}:{(29,1),(50,1),(53,1)}
       42:{1,4,5,6,7}:{(31,1),(55,1)}
       43:{2,4,5,6,7}:{(32,1),(56,1)}
       44:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(34,1),(57,1),(58,1),(59,1),(77,1)}
       45:{3,4,6,7}:{(31,1),(35,1),(55,1),(57,1),(58,1)}
       46:{3,4,6,7}:{(32,1),(36,1),(56,1),(57,1),(59,1)}
       47:{1,2,4,7}:{(33,1),(38,1),(60,1)}
       48:{3,5,7}:{(34,1),(39,1),(57,1),(60,1)}
       49:{2,4,5,7}:{(35,1),(40,1),(58,1),(62,1)}
       50:{1,4,5,7}:{(36,1),(41,1),(59,1),(61,1)}
       51:{1,2,4,5}:{(37,1),(38,1),(63,1)}
       52:{3,4,6}:{(38,1),(39,1),(60,1),(63,1)}
       53:{1,3,5,6}:{(39,1),(41,1),(61,1),(64,1),(66,1)}
       54:{2,3,5,6}:{(39,1),(40,1),(62,1),(65,1),(66,1)}
       55:{3,5,6,7}:{(42,1),(45,1),(67,1)}
       56:{3,5,6,7}:{(43,1),(46,1),(68,1)}
       57:{3,6,7}:{(44,1),(48,1)}
       58:{2,4,6,7}:{(45,1),(49,1),(67,1),(70,1)}
       59:{1,4,6,7}:{(46,1),(50,1),(68,1),(69,1)}
       60:{3,4,7}:{(47,1),(48,1),(52,1)}
       61:{1,3,5,7}:{(48,1),(50,1),(53,1),(69,1),(71,1),(73,1)}
       62:{2,3,5,7}:{(48,1),(49,1),(54,1),(70,1),(72,1),(73,1)}
       63:{3,4,5}:{(51,1),(52,1)}
       64:{1,3,4,6}:{(52,1),(53,1),(71,1),(74,1),(76,1)}
       65:{2,3,4,6}:{(52,1),(54,1),(72,1),(75,1),(76,1)}
       66:{1,2,5,6}:{(53,1),(54,1),(73,1),(76,1)}
       67:{2,5,6,7}:{(55,1),(58,1)}
       68:{1,5,6,7}:{(56,1),(59,1)}
       69:{1,3,6,7}:{(57,1),(59,1),(61,1),(77,1)}
       70:{2,3,6,7}:{(57,1),(58,1),(62,1),(77,1)}
       71:{1,3,4,7}:{(60,1),(61,1),(64,1),(78,1)}
       72:{2,3,4,7}:{(60,1),(62,1),(65,1),(78,1)}
       73:{1,2,5,7}:{(61,1),(62,1),(66,1),(77,1),(78,1)}
       74:{1,3,4,5}:{(63,1),(64,1),(79,1)}
       75:{2,3,4,5}:{(63,1),(65,1),(79,1)}
       76:{1,2,4,6}:{(64,1),(65,1),(66,1),(78,1),(79,1),(80,1)}
       77:{1,2,6,7}:{(69,1),(70,1),(73,1)}
       78:{1,2,4,7}:{(71,1),(72,1),(73,1),(76,1),(81,1)}
       79:{1,2,4,5}:{(74,1),(75,1),(76,1),(82,1)}
       80:{1,2,3,6}:{(76,1),(81,1),(82,1)}
       81:{1,2,3,7}:{(78,1),(80,1)}
       82:{1,2,3,5}:{(79,1),(80,1),(83,1)}
       83:{1,2,3,4}:{(82,1)}

1934 :   0:{2,3,4,5,7}:{(2,1),(3,1),(24,1),(36,1),(91,1),(141,1),(142,1),(149,1),(187,1),(189,1)}
         1:{1,3,4,5,7}:{(4,1),(5,1),(28,1),(32,1),(83,1),(143,1),(147,1),(148,1),(187,1),(191,1)}
         2:{2,3,4,6}:{(0,1),(9,1),(11,1),(111,1),(174,1),(201,1),(202,1)}
         3:{1,2,4,5,7}:{(0,1),(11,1),(12,1),(46,1),(51,1),(107,1),(112,1),(113,1)}
         4:{1,3,4,6}:{(1,1),(14,1),(16,1),(118,1),(170,1),(201,1),(203,1)}
         5:{1,2,4,5,7}:{(1,1),(16,1),(17,1),(46,1),(59,1),(107,1),(119,1),(120,1)}
         6:{2,4,5,6,7}:{(18,1),(64,1),(180,1)}
         7:{1,4,5,6,7}:{(19,1),(66,1),(177,1)}
         8:{3,4,5,6}:{(21,1),(22,1),(23,1),(79,1),(148,1),(192,1)}
         9:{2,3,5,6}:{(2,1),(23,1),(24,1),(25,1),(79,1),(91,1),(204,1)}
        10:{2,3,4,6,7}:{(2,1),(24,1),(26,1),(64,1),(123,1),(141,1),(175,1)}
        11:{1,2,4,6}:{(2,1),(3,1),(25,1),(27,1),(81,1)}
        12:{1,3,5,7}:{(3,1),(27,1),(28,1),(83,1),(187,1)}
        13:{3,4,5,6}:{(29,1),(30,1),(31,1),(87,1),(142,1),(190,1)}
        14:{1,3,5,6}:{(4,1),(30,1),(32,1),(33,1),(83,1),(87,1),(205,1)}
        15:{1,3,4,6,7}:{(4,1),(32,1),(34,1),(66,1),(126,1),(147,1),(178,1)}
        16:{1,2,4,6}:{(4,1),(5,1),(33,1),(35,1),(89,1)}
        17:{2,3,5,7}:{(5,1),(35,1),(36,1),(91,1),(187,1)}
        18:{3,5,6,7}:{(6,1),(37,1),(38,1),(196,1)}
        19:{3,5,6,7}:{(7,1),(40,1),(42,1),(194,1)}
        20:{1,2,3,5,7}:{(12,1),(17,1),(45,1),(46,1),(107,1)}
        21:{3,4,5,7}:{(8,1),(37,1),(48,1),(49,1),(110,1)}
        22:{1,4,5,6}:{(8,1),(47,1),(48,1),(172,1),(203,1)}
        23:{2,4,5,6}:{(8,1),(9,1),(49,1),(120,1),(174,1)}
        24:{2,3,5,7}:{(9,1),(10,1),(49,1),(51,1),(110,1),(193,1)}
        25:{1,2,5,6}:{(9,1),(11,1),(51,1),(52,1),(107,1)}
        26:{1,2,4,6,7}:{(10,1),(11,1),(51,1),(53,1),(112,1)}
        27:{1,3,6}:{(11,1),(12,1),(201,1)}
        28:{1,3,4,7}:{(12,1),(46,1),(54,1),(112,1),(163,1)}
        29:{3,4,5,7}:{(13,1),(40,1),(56,1),(57,1),(117,1)}
        30:{1,4,5,6}:{(13,1),(14,1),(56,1),(113,1),(170,1)}
        31:{2,4,5,6}:{(13,1),(55,1),(57,1),(168,1),(202,1)}
        32:{1,3,5,7}:{(14,1),(15,1),(56,1),(59,1),(117,1),(195,1)}
        33:{1,2,5,6}:{(14,1),(16,1),(59,1),(60,1),(107,1)}
        34:{1,2,4,6,7}:{(15,1),(16,1),(59,1),(61,1),(119,1)}
        35:{2,3,6}:{(16,1),(17,1),(201,1)}
        36:{2,3,4,7}:{(17,1),(46,1),(62,1),(119,1),(163,1)}
        37:{3,4,6,7}:{(18,1),(21,1),(63,1),(64,1),(123,1),(192,1)}
        38:{1,5,6,7}:{(18,1),(63,1),(205,1)}
        39:{2,3,5,6,7}:{(18,1),(24,1),(64,1),(65,1),(123,1),(150,1)}
        40:{3,4,6,7}:{(19,1),(29,1),(66,1),(67,1),(126,1),(190,1)}
        41:{1,3,5,6,7}:{(19,1),(32,1),(66,1),(68,1),(126,1),(144,1)}
        42:{2,5,6,7}:{(19,1),(67,1),(204,1)}
        43:{2,3,4,5}:{(69,1),(70,1),(134,1),(148,1),(186,1)}
        44:{1,3,4,5}:{(71,1),(72,1),(131,1),(142,1),(184,1)}
        45:{1,2,3,6}:{(20,1),(27,1),(35,1),(75,1)}
        46:{1,2,4,7}:{(20,1),(28,1),(36,1),(75,1)}
        47:{1,3,5,6}:{(22,1),(71,1),(76,1),(77,1),(79,1),(184,1),(207,1)}
        48:{1,4,5,7}:{(21,1),(22,1),(63,1),(76,1)}
        49:{2,4,5,7}:{(21,1),(23,1),(24,1),(64,1)}
        50:{1,2,4,5,6}:{(22,1),(23,1),(25,1),(77,1),(78,1),(79,1),(81,1),(137,1),(140,1),(177,1),(188,1),(204,1)}
        51:{1,2,5,7}:{(24,1),(25,1),(26,1),(80,1)}
        52:{1,3,5,6}:{(25,1),(27,1),(79,1),(80,1),(81,1),(83,1)}
        53:{1,3,6,7}:{(26,1),(27,1),(80,1),(123,1)}
        54:{1,3,4,6}:{(27,1),(28,1),(75,1),(81,1),(83,1),(135,1)}
        55:{2,3,5,6}:{(31,1),(69,1),(84,1),(85,1),(87,1),(186,1),(208,1)}
        56:{1,4,5,7}:{(29,1),(30,1),(32,1),(66,1)}
        57:{2,4,5,7}:{(29,1),(31,1),(67,1),(84,1)}
        58:{1,2,4,5,6}:{(30,1),(31,1),(33,1),(85,1),(86,1),(87,1),(89,1),(137,1),(146,1),(180,1),(188,1),(205,1)}
        59:{1,2,5,7}:{(32,1),(33,1),(34,1),(88,1)}
        60:{2,3,5,6}:{(33,1),(35,1),(87,1),(88,1),(89,1),(91,1)}
        61:{2,3,6,7}:{(34,1),(35,1),(88,1),(126,1)}
        62:{2,3,4,6}:{(35,1),(36,1),(75,1),(89,1),(91,1),(135,1)}
        63:{1,4,6,7}:{(37,1),(38,1),(48,1),(92,1),(203,1)}
        64:{2,4,6,7}:{(37,1),(39,1),(49,1),(174,1)}
        65:{1,2,5,6,7}:{(38,1),(39,1),(51,1),(93,1),(94,1),(166,1),(193,1)}
        66:{1,4,6,7}:{(40,1),(41,1),(56,1),(170,1)}
        67:{2,4,6,7}:{(40,1),(42,1),(57,1),(95,1),(202,1)}
        68:{1,2,5,6,7}:{(41,1),(42,1),(59,1),(96,1),(97,1),(166,1),(195,1)}
        69:{2,3,4,6}:{(43,1),(55,1),(98,1),(99,1),(118,1)}
        70:{1,2,4,5}:{(43,1),(99,1),(100,1),(158,1),(172,1),(198,1)}
        71:{1,3,4,6}:{(44,1),(47,1),(101,1),(102,1),(111,1)}
        72:{1,2,4,5}:{(44,1),(102,1),(103,1),(158,1),(168,1),(198,1)}
        73:{1,2,3,5,6}:{(45,1),(52,1),(60,1),(104,1),(105,1),(107,1),(109,1),(116,1),(157,1),(164,1),(166,1),(198,1),(201,1),(209,1)}
        74:{1,2,3,6,7}:{(45,1),(53,1),(61,1),(104,1),(106,1),(151,1),(154,1),(201,1),(209,1)}
        75:{1,2,4,6}:{(45,1),(46,1),(54,1),(62,1),(107,1)}
        76:{1,3,5,7}:{(47,1),(48,1),(92,1),(101,1),(108,1),(110,1)}
        77:{1,2,5,6}:{(47,1),(102,1),(108,1),(109,1),(198,1),(209,1)}
        78:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(51,1),(93,1),(108,1),(110,1),(112,1),(153,1),(167,1),(193,1)}
        79:{3,5,6}:{(50,1),(110,1),(111,1),(164,1),(201,1)}
        80:{1,3,5,7}:{(51,1),(52,1),(53,1),(110,1),(112,1)}
        81:{1,4,6}:{(52,1),(111,1),(112,1),(113,1)}
        82:{1,3,4,6,7}:{(53,1),(54,1),(106,1),(112,1),(114,1),(152,1),(163,1),(170,1),(201,1)}
        83:{1,3,5}:{(54,1),(107,1),(113,1),(164,1)}
        84:{2,3,5,7}:{(55,1),(57,1),(95,1),(98,1),(115,1),(117,1)}
        85:{1,2,5,6}:{(55,1),(99,1),(115,1),(116,1),(198,1),(209,1)}
        86:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(59,1),(96,1),(115,1),(117,1),(119,1),(156,1),(171,1),(195,1)}
        87:{3,5,6}:{(58,1),(117,1),(118,1),(164,1),(201,1)}
        88:{2,3,5,7}:{(59,1),(60,1),(61,1),(117,1),(119,1)}
        89:{2,4,6}:{(60,1),(118,1),(119,1),(120,1)}
        90:{2,3,4,6,7}:{(61,1),(62,1),(106,1),(119,1),(121,1),(155,1),(163,1),(174,1),(201,1)}
        91:{2,3,5}:{(62,1),(107,1),(120,1),(164,1)}
        92:{1,3,6,7}:{(63,1),(76,1),(122,1),(123,1),(207,1)}
        93:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(78,1),(122,1),(123,1),(124,1),(175,1),(188,1)}
        94:{1,3,5,6,7}:{(65,1),(80,1),(123,1),(124,1),(144,1),(176,1)}
        95:{2,3,6,7}:{(67,1),(84,1),(125,1),(126,1),(208,1)}
        96:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(86,1),(125,1),(126,1),(127,1),(178,1),(188,1)}
        97:{2,3,5,6,7}:{(68,1),(88,1),(126,1),(127,1),(150,1),(179,1)}
        98:{2,3,4,7}:{(69,1),(84,1),(129,1),(147,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(85,1),(129,1),(130,1),(146,1)}
       100:{1,3,5}:{(70,1),(130,1),(131,1)}
       101:{1,3,4,7}:{(71,1),(76,1),(132,1),(141,1)}
       102:{1,2,4,6}:{(71,1),(72,1),(77,1),(132,1),(133,1),(140,1)}
       103:{2,3,5}:{(72,1),(133,1),(134,1)}
       104:{1,2,3,5,7}:{(73,1),(74,1),(80,1),(88,1),(136,1),(138,1),(139,1),(145,1),(181,1),(187,1),(206,1)}
       105:{1,2,4,6}:{(73,1),(81,1),(89,1),(135,1),(136,1),(137,1),(140,1),(146,1)}
       106:{1,2,4,6,7}:{(74,1),(75,1),(82,1),(90,1),(136,1),(138,1),(175,1),(178,1),(188,1)}
       107:{1,2,5}:{(75,1),(83,1),(91,1)}
       108:{1,2,5,7}:{(76,1),(77,1),(122,1),(132,1),(139,1)}
       109:{2,3,5,6}:{(77,1),(79,1),(133,1),(139,1),(140,1),(186,1),(204,1),(208,1)}
       110:{3,5,7}:{(78,1),(79,1),(123,1),(141,1)}
       111:{3,4,6}:{(79,1),(81,1),(140,1),(141,1),(142,1)}
       112:{1,4,7}:{(80,1),(81,1),(141,1)}
       113:{1,4,5}:{(81,1),(83,1),(142,1)}
       114:{1,3,5,7}:{(82,1),(83,1),(138,1),(143,1),(144,1),(176,1),(187,1)}
       115:{1,2,5,7}:{(84,1),(85,1),(125,1),(129,1),(145,1)}
       116:{1,3,5,6}:{(85,1),(87,1),(130,1),(145,1),(146,1),(184,1),(205,1),(207,1)}
       117:{3,5,7}:{(86,1),(87,1),(126,1),(147,1)}
       118:{3,4,6}:{(87,1),(89,1),(146,1),(147,1),(148,1)}
       119:{2,4,7}:{(88,1),(89,1),(147,1)}
       120:{2,4,5}:{(89,1),(91,1),(148,1)}
       121:{2,3,5,7}:{(90,1),(91,1),(138,1),(149,1),(150,1),(179,1),(187,1)}
       122:{1,2,6,7}:{(92,1),(108,1),(151,1),(209,1)}
       123:{3,6,7}:{(93,1),(110,1),(201,1)}
       124:{1,4,6,7}:{(94,1),(112,1),(152,1),(153,1),(170,1)}
       125:{1,2,6,7}:{(95,1),(115,1),(154,1),(209,1)}
       126:{3,6,7}:{(96,1),(117,1),(201,1)}
       127:{2,4,6,7}:{(97,1),(119,1),(155,1),(156,1),(174,1)}
       128:{1,2,3,5}:{(100,1),(103,1),(157,1),(158,1),(198,1)}
       129:{1,2,4,7}:{(98,1),(99,1),(115,1),(159,1),(171,1)}
       130:{1,3,6}:{(99,1),(100,1),(159,1)}
       131:{1,3,4}:{(100,1),(158,1)}
       132:{1,2,4,7}:{(101,1),(102,1),(108,1),(161,1),(167,1)}
       133:{2,3,6}:{(102,1),(103,1),(161,1)}
       134:{2,3,4}:{(103,1),(158,1)}
       135:{3,4,6}:{(105,1),(163,1),(164,1),(201,1)}
       136:{1,2,4,7}:{(104,1),(105,1),(112,1),(119,1),(163,1),(167,1),(171,1)}
       137:{1,2,4,5}:{(105,1),(107,1),(113,1),(120,1),(164,1),(168,1),(172,1),(198,1)}
       138:{1,2,5,7}:{(106,1),(107,1),(114,1),(121,1),(166,1),(193,1),(195,1)}
       139:{2,3,5,7}:{(108,1),(109,1),(110,1),(151,1),(161,1),(167,1),(193,1)}
       140:{2,4,6}:{(109,1),(111,1),(167,1),(168,1)}
       141:{3,4,7}:{(110,1),(111,1),(112,1),(167,1)}
       142:{3,4,5}:{(111,1),(113,1),(164,1),(168,1)}
       143:{1,4,5,7}:{(112,1),(113,1),(114,1),(169,1),(170,1)}
       144:{1,3,5,6}:{(114,1),(166,1),(170,1),(194,1),(201,1)}
       145:{1,3,5,7}:{(115,1),(116,1),(117,1),(154,1),(159,1),(171,1),(195,1)}
       146:{1,4,6}:{(116,1),(118,1),(171,1),(172,1)}
       147:{3,4,7}:{(117,1),(118,1),(119,1),(171,1)}
       148:{3,4,5}:{(118,1),(120,1),(164,1),(172,1)}
       149:{2,4,5,7}:{(119,1),(120,1),(121,1),(173,1),(174,1)}
       150:{2,3,5,6}:{(121,1),(166,1),(174,1),(196,1),(201,1)}
       151:{2,3,6,7}:{(122,1),(123,1),(139,1),(175,1),(208,1)}
       152:{3,4,6,7}:{(123,1),(124,1),(141,1),(175,1),(176,1),(190,1)}
       153:{1,4,5,7}:{(124,1),(176,1),(177,1)}
       154:{1,3,6,7}:{(125,1),(126,1),(145,1),(178,1),(207,1)}
       155:{3,4,6,7}:{(126,1),(127,1),(147,1),(178,1),(179,1),(192,1)}
       156:{2,4,5,7}:{(127,1),(179,1),(180,1)}
       157:{1,2,3,6}:{(128,1),(130,1),(133,1),(181,1),(182,1)}
       158:{1,2,4}:{(128,1),(131,1),(134,1)}
       159:{1,3,7}:{(129,1),(130,1)}
       160:{1,3,4,6}:{(130,1),(131,1),(135,1),(146,1),(182,1),(183,1),(184,1),(207,1)}
       161:{2,3,7}:{(132,1),(133,1)}
       162:{2,3,4,6}:{(133,1),(134,1),(135,1),(140,1),(182,1),(185,1),(186,1),(208,1)}
       163:{3,4,7}:{(135,1),(136,1),(187,1)}
       164:{3,5}:{(135,1),(137,1)}
       165:{1,2,4,5,7}:{(136,1),(137,1),(138,1),(143,1),(149,1),(187,1),(188,1),(189,1),(191,1),(206,1)}
       166:{1,2,5,6}:{(138,1),(144,1),(150,1),(188,1),(204,1),(205,1)}
       167:{2,4,7}:{(139,1),(140,1),(141,1)}
       168:{2,4,5}:{(140,1),(142,1),(186,1)}
       169:{3,4,5,7}:{(141,1),(142,1),(143,1),(176,1),(187,1),(189,1),(190,1)}
       170:{1,4,6}:{(143,1),(144,1),(190,1)}
       171:{1,4,7}:{(145,1),(146,1),(147,1)}
       172:{1,4,5}:{(146,1),(148,1),(184,1)}
       173:{3,4,5,7}:{(147,1),(148,1),(149,1),(179,1),(187,1),(191,1),(192,1)}
       174:{2,4,6}:{(149,1),(150,1),(192,1)}
       175:{2,4,6,7}:{(151,1),(152,1),(167,1),(193,1),(202,1)}
       176:{3,5,7}:{(152,1),(153,1),(193,1),(194,1)}
       177:{1,4,5,6}:{(153,1),(170,1),(194,1)}
       178:{1,4,6,7}:{(154,1),(155,1),(171,1),(195,1),(203,1)}
       179:{3,5,7}:{(155,1),(156,1),(195,1),(196,1)}
       180:{2,4,5,6}:{(156,1),(174,1),(196,1)}
       181:{1,2,3,7}:{(157,1),(159,1),(161,1),(197,1)}
       182:{1,2,4,6}:{(157,1),(158,1),(160,1),(162,1),(197,1),(198,1),(209,1)}
       183:{1,3,4,7}:{(159,1),(160,1),(163,1),(171,1),(197,1),(199,1)}
       184:{1,3,5}:{(160,1),(164,1),(172,1),(198,1)}
       185:{2,3,4,7}:{(161,1),(162,1),(163,1),(167,1),(197,1),(200,1)}
       186:{2,3,5}:{(162,1),(164,1),(168,1),(198,1)}
       187:{3,5,7}:{(163,1),(164,1),(165,1),(201,1)}
       188:{1,2,4,6}:{(165,1),(166,1),(170,1),(174,1),(201,1),(202,1),(203,1),(209,1)}
       189:{2,4,5,7}:{(167,1),(168,1),(169,1),(193,1),(200,1),(202,1)}
       190:{3,4,6}:{(169,1),(170,1),(194,1),(201,1),(202,1)}
       191:{1,4,5,7}:{(171,1),(172,1),(173,1),(195,1),(199,1),(203,1)}
       192:{3,4,6}:{(173,1),(174,1),(196,1),(201,1),(203,1)}
       193:{2,5,7}:{(175,1),(176,1),(204,1)}
       194:{3,5,6}:{(176,1),(177,1),(190,1),(204,1)}
       195:{1,5,7}:{(178,1),(179,1),(205,1)}
       196:{3,5,6}:{(179,1),(180,1),(192,1),(205,1)}
       197:{1,2,4,7}:{(181,1),(182,1),(183,1),(185,1),(206,1)}
       198:{1,2,5}:{(182,1),(184,1),(186,1)}
       199:{1,3,5,7}:{(183,1),(184,1),(187,1),(191,1),(206,1),(207,1)}
       200:{2,3,5,7}:{(185,1),(186,1),(187,1),(189,1),(206,1),(208,1)}
       201:{3,6}:{(187,1),(188,1)}
       202:{2,4,6}:{(189,1),(190,1),(204,1),(208,1)}
       203:{1,4,6}:{(191,1),(192,1),(205,1),(207,1)}
       204:{2,5,6}:{(193,1),(194,1),(202,1)}
       205:{1,5,6}:{(195,1),(196,1),(203,1)}
       206:{1,2,5,7}:{(197,1),(198,1),(199,1),(200,1),(209,1)}
       207:{1,3,6}:{(199,1),(201,1),(203,1),(209,1)}
       208:{2,3,6}:{(200,1),(201,1),(202,1),(209,1)}
       209:{1,2,6}:{(206,1),(207,1),(208,1)}

1935 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(18,1),(37,1),(38,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(24,1),(47,1)}
        2:{1,2,4,5,7}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,5,6}:{(1,1),(5,1),(12,1),(34,1),(37,1)}
        4:{3,4,5,7}:{(2,1),(10,1),(24,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(10,1)}
        6:{1,2,3,5,6,7}:{(3,1),(11,1),(24,1),(43,1),(44,1),(47,1),(48,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(29,1),(30,1),(34,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(16,1),(35,1),(51,1),(62,1)}
        9:{1,3,4,5,7}:{(4,1),(15,1),(17,1),(36,1),(51,1),(62,1)}
       10:{3,4,6}:{(4,1),(5,1),(12,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(13,1),(18,1),(49,1),(50,1)}
       12:{3,5,6}:{(7,1),(10,1),(24,1)}
       13:{1,2,4,5,7}:{(7,1),(11,1),(24,1),(41,1),(42,1),(47,1)}
       14:{1,2,3,4,7}:{(21,1),(25,1),(60,1)}
       15:{1,2,4,5,7}:{(8,1),(9,1),(25,1),(26,1),(45,1),(47,1),(60,1)}
       16:{2,3,4,6}:{(8,1),(10,1),(22,1),(26,1),(58,1)}
       17:{1,3,4,6}:{(9,1),(10,1),(23,1),(26,1),(58,1)}
       18:{3,4,6,7}:{(10,1),(11,1),(24,1)}
       19:{3,4,5,6}:{(12,1),(29,1),(30,1),(31,1),(52,1)}
       20:{1,2,4,5,6,7}:{(13,1),(32,1),(49,1),(50,1),(54,1)}
       21:{1,2,3,4,6}:{(14,1),(33,1),(37,1),(55,1)}
       22:{2,3,5,6}:{(12,1),(16,1),(29,1),(34,1),(35,1),(52,1)}
       23:{1,3,5,6}:{(12,1),(17,1),(30,1),(34,1),(36,1),(52,1)}
       24:{3,5,7}:{(12,1),(13,1),(18,1)}
       25:{1,2,3,5,7}:{(14,1),(15,1),(33,1),(37,1)}
       26:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(37,1)}
       27:{2,3,4,6,7}:{(16,1),(18,1),(35,1),(38,1),(49,1),(61,1),(62,1)}
       28:{1,3,4,6,7}:{(17,1),(18,1),(36,1),(38,1),(50,1),(61,1),(62,1)}
       29:{2,4,5,6}:{(19,1),(22,1),(41,1)}
       30:{1,4,5,6}:{(19,1),(23,1),(42,1)}
       31:{3,4,5,7}:{(19,1),(24,1),(39,1),(41,1),(42,1),(59,1)}
       32:{3,5,6,7}:{(20,1),(24,1),(39,1)}
       33:{1,2,3,5}:{(21,1),(45,1)}
       34:{1,2,5,6}:{(22,1),(23,1),(26,1),(47,1)}
       35:{2,3,5,7}:{(22,1),(24,1),(27,1),(41,1),(47,1),(59,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(28,1),(42,1),(47,1),(59,1)}
       37:{1,2,3,6}:{(25,1),(26,1)}
       38:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(47,1),(48,1),(60,1)}
       39:{3,4,6,7}:{(31,1),(32,1),(49,1),(50,1),(61,1)}
       40:{1,2,4,5,6}:{(29,1),(30,1),(34,1),(52,1),(53,1),(55,1)}
       41:{2,4,5,7}:{(29,1),(31,1),(35,1),(49,1)}
       42:{1,4,5,7}:{(30,1),(31,1),(36,1),(50,1)}
       43:{2,3,5,6,7}:{(32,1),(35,1),(49,1),(54,1),(61,1)}
       44:{1,3,5,6,7}:{(32,1),(36,1),(50,1),(54,1),(61,1)}
       45:{1,2,4,5}:{(33,1),(51,1),(55,1)}
       46:{1,2,3,5,6}:{(33,1),(34,1),(37,1),(52,1),(55,1),(56,1)}
       47:{1,2,5,7}:{(34,1),(35,1),(36,1),(38,1)}
       48:{1,2,3,6,7}:{(37,1),(38,1),(56,1),(61,1)}
       49:{2,4,6,7}:{(39,1),(41,1),(43,1)}
       50:{1,4,6,7}:{(39,1),(42,1),(44,1)}
       51:{3,4,5}:{(45,1),(58,1)}
       52:{3,5,6}:{(40,1),(58,1),(59,1)}
       53:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(47,1),(57,1),(59,1),(60,1)}
       54:{1,2,5,6,7}:{(43,1),(44,1),(47,1),(57,1)}
       55:{1,2,4,6}:{(45,1),(46,1),(58,1),(60,1)}
       56:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(59,1),(60,1)}
       57:{1,2,4,6,7}:{(49,1),(50,1),(53,1),(54,1),(61,1)}
       58:{3,4,6}:{(51,1),(52,1),(55,1),(62,1)}
       59:{3,5,7}:{(52,1),(53,1),(61,1),(62,1)}
       60:{1,2,4,7}:{(55,1),(56,1),(62,1)}
       61:{3,6,7}:{(57,1),(59,1)}
       62:{3,4,7}:{(58,1),(59,1),(60,1)}

1936 :   0:{1,3,4,5,6}:{(1,1),(2,1),(18,1),(57,1),(63,1)}
         1:{1,2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(49,1),(52,1)}
         2:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(28,1),(48,1),(53,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(40,1),(43,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(44,1)}
         6:{1,2,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(47,1),(49,1)}
         7:{2,3,4,6}:{(3,1),(11,1),(13,1),(14,1)}
         8:{2,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,2,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(34,1)}
        10:{1,3,5,6,7}:{(5,1),(16,1),(17,1),(35,1),(48,1)}
        11:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
        12:{1,2,3,5,7}:{(6,1),(8,1),(20,1),(21,1),(37,1),(40,1)}
        13:{2,3,4,5}:{(7,1),(19,1)}
        14:{2,3,4,7}:{(7,1),(8,1),(20,1)}
        15:{2,3,6,7}:{(8,1),(9,1)}
        16:{1,2,5,6,7}:{(9,1),(10,1),(24,1),(40,1)}
        17:{1,4,5,6,7}:{(10,1),(26,1),(58,1)}
        18:{1,3,4,6}:{(11,1),(27,1),(28,1),(47,1)}
        19:{1,2,4,5}:{(11,1),(13,1),(27,1)}
        20:{1,2,4,7}:{(11,1),(12,1),(14,1),(28,1)}
        21:{1,2,3,6,7}:{(12,1),(15,1),(30,1),(47,1)}
        22:{2,3,4,5,7}:{(13,1),(14,1),(29,1),(32,1),(33,1),(68,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1),(51,1)}
        24:{2,3,5,6,7}:{(15,1),(16,1),(33,1),(34,1),(35,1)}
        25:{1,2,4,5,6,7}:{(16,1),(17,1),(34,1),(35,1),(36,1),(50,1),(54,1),(56,1)}
        26:{3,4,5,6,7}:{(17,1),(35,1),(36,1),(68,1)}
        27:{1,3,5}:{(18,1),(19,1)}
        28:{1,3,4,7}:{(18,1),(20,1),(37,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(39,1),(40,1),(58,1)}
        30:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(39,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(24,1),(40,1),(41,1),(45,1),(57,1),(60,1),(81,1),(82,1),(83,1)}
        32:{2,3,4,6}:{(22,1),(39,1),(42,1),(77,1)}
        33:{2,3,5,7}:{(23,1),(40,1),(42,1),(43,1),(60,1)}
        34:{2,4,6,7}:{(24,1),(43,1),(44,1)}
        35:{3,5,6,7}:{(25,1),(44,1),(60,1)}
        36:{2,4,5,6,7}:{(26,1),(46,1),(79,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(47,1)}
        38:{1,3,4,6,7}:{(28,1),(30,1),(47,1),(48,1),(51,1),(67,1)}
        39:{1,2,4,6}:{(29,1),(32,1),(47,1),(49,1),(67,1)}
        40:{1,2,5,7}:{(30,1),(33,1),(48,1),(49,1)}
        41:{1,2,4,6,7}:{(31,1),(34,1),(50,1),(51,1),(54,1),(67,1),(87,1)}
        42:{2,3,5,6}:{(32,1),(33,1),(49,1),(52,1),(69,1)}
        43:{2,4,5,7}:{(33,1),(34,1),(52,1),(53,1)}
        44:{3,4,6,7}:{(34,1),(35,1),(53,1),(54,1)}
        45:{1,3,5,6,7}:{(35,1),(54,1),(56,1),(70,1),(76,1)}
        46:{2,3,5,6,7}:{(35,1),(36,1),(55,1),(56,1),(71,1)}
        47:{1,3,6}:{(37,1),(39,1)}
        48:{1,3,5,7}:{(38,1),(40,1),(57,1),(58,1),(60,1)}
        49:{1,2,5,6}:{(39,1),(40,1),(42,1),(57,1)}
        50:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(58,1),(59,1),(60,1),(64,1),(79,1),(82,1)}
        51:{3,4,6,7}:{(41,1),(60,1),(77,1)}
        52:{2,4,5,6}:{(42,1),(43,1),(63,1)}
        53:{3,4,5,7}:{(43,1),(44,1),(60,1),(63,1),(64,1)}
        54:{1,4,6,7}:{(44,1),(45,1),(64,1)}
        55:{2,3,4,6,7}:{(44,1),(46,1),(65,1),(66,1)}
        56:{1,2,5,6,7}:{(45,1),(46,1),(66,1),(82,1)}
        57:{1,3,5,6}:{(47,1),(48,1),(49,1),(67,1),(69,1)}
        58:{1,4,5,7}:{(48,1),(67,1),(68,1)}
        59:{1,2,4,5,6}:{(49,1),(50,1),(52,1),(67,1),(69,1),(73,1),(87,1),(89,1)}
        60:{3,5,7}:{(50,1),(51,1),(69,1)}
        61:{1,3,4,6,7}:{(51,1),(54,1),(70,1),(72,1),(76,1),(86,1),(92,1)}
        62:{2,3,4,6,7}:{(51,1),(71,1),(72,1),(87,1),(98,1),(99,1)}
        63:{3,4,5,6}:{(52,1),(53,1),(69,1),(73,1)}
        64:{1,4,5,7}:{(53,1),(54,1),(70,1),(73,1)}
        65:{2,3,4,5,7}:{(53,1),(55,1),(71,1),(74,1),(75,1),(99,1)}
        66:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(75,1),(76,1)}
        67:{1,4,6}:{(57,1),(58,1),(77,1)}
        68:{3,4,5,7}:{(58,1),(60,1),(77,1),(79,1)}
        69:{3,5,6}:{(59,1),(60,1),(77,1)}
        70:{1,3,5,7}:{(60,1),(61,1),(64,1),(80,1),(82,1)}
        71:{2,3,5,7}:{(60,1),(62,1),(79,1),(81,1),(82,1)}
        72:{1,2,4,6,7}:{(61,1),(62,1),(82,1),(83,1),(93,1),(96,1)}
        73:{1,4,5,6}:{(63,1),(64,1),(80,1)}
        74:{2,3,4,5,6}:{(63,1),(65,1),(81,1),(84,1),(102,1)}
        75:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(82,1),(84,1),(85,1),(96,1)}
        76:{1,3,6,7}:{(66,1),(85,1)}
        77:{3,4,6}:{(67,1),(68,1),(69,1),(87,1)}
        78:{1,3,4,5,7}:{(68,1),(70,1),(86,1),(88,1),(92,1),(101,1)}
        79:{2,4,5,7}:{(68,1),(71,1),(87,1)}
        80:{1,3,5,6}:{(69,1),(70,1),(73,1),(86,1),(89,1)}
        81:{2,3,5,6}:{(69,1),(71,1),(87,1),(89,1),(98,1)}
        82:{1,2,5,7}:{(70,1),(71,1),(72,1),(89,1)}
        83:{1,2,3,6,7}:{(72,1),(76,1),(90,1),(98,1)}
        84:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(89,1),(91,1),(100,1)}
        85:{1,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,3,4,6}:{(77,1),(78,1),(80,1),(93,1)}
        87:{2,4,6}:{(77,1),(79,1),(81,1)}
        88:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(93,1),(94,1),(96,1),(103,1)}
        89:{1,2,5,6}:{(80,1),(81,1),(82,1),(93,1)}
        90:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(94,1),(95,1),(96,1)}
        91:{1,3,5,6}:{(84,1),(85,1),(97,1)}
        92:{1,3,4,7}:{(85,1),(96,1),(97,1)}
        93:{1,2,4,6}:{(86,1),(87,1),(88,1),(89,1),(98,1)}
        94:{2,3,5,7}:{(88,1),(98,1),(99,1),(104,1)}
        95:{1,2,3,5,6}:{(89,1),(90,1),(91,1),(98,1),(100,1),(104,1)}
        96:{1,2,4,7}:{(90,1),(92,1),(99,1),(100,1)}
        97:{1,3,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{2,3,6}:{(93,1),(94,1)}
        99:{2,3,4,7}:{(94,1),(96,1),(102,1)}
       100:{1,2,4,6}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{1,3,4,5}:{(97,1),(103,1)}
       102:{2,3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       103:{1,2,4,5}:{(100,1),(101,1),(104,1)}
       104:{2,3,5}:{(102,1),(103,1)}

1937 :   0:{1,3,4,5,7}:{(4,1),(5,1),(7,1),(53,1),(66,1),(70,1),(102,1),(109,1),(116,1),(121,1)}
         1:{1,3,4,6,7}:{(5,1),(6,1),(7,1),(9,1),(33,1),(66,1),(73,1)}
         2:{1,3,5,6,7}:{(7,1),(8,1),(9,1),(10,1),(33,1),(69,1)}
         3:{1,4,5,6,7}:{(9,1),(10,1),(113,1)}
         4:{1,2,4,5,7}:{(0,1),(11,1),(12,1),(15,1),(35,1),(45,1),(78,1),(82,1)}
         5:{1,3,4,6}:{(0,1),(12,1),(13,1),(83,1),(96,1),(144,1),(149,1)}
         6:{1,2,4,6,7}:{(1,1),(12,1),(14,1),(15,1),(45,1)}
         7:{1,3,5,7}:{(1,1),(13,1),(15,1),(16,1),(46,1),(100,1)}
         8:{1,2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(20,1),(86,1),(100,1)}
         9:{1,4,6,7}:{(2,1),(16,1),(19,1),(96,1)}
        10:{3,5,6,7}:{(3,1),(19,1),(20,1),(142,1)}
        11:{2,3,5,7}:{(4,1),(22,1),(23,1),(58,1),(116,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(23,1),(24,1),(59,1)}
        13:{1,3,5,6}:{(5,1),(7,1),(24,1),(25,1),(60,1),(102,1),(127,1)}
        14:{2,3,6,7}:{(6,1),(23,1),(28,1),(33,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(24,1),(28,1)}
        16:{1,4,5,7}:{(7,1),(9,1),(25,1),(30,1)}
        17:{2,3,5,6,7}:{(8,1),(28,1),(32,1),(33,1),(64,1),(72,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(29,1),(32,1),(33,1),(34,1),(73,1),(74,1),(115,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(30,1),(33,1),(34,1),(124,1)}
        20:{2,5,6,7}:{(10,1),(34,1),(167,1)}
        21:{1,2,3,5,7}:{(11,1),(35,1),(36,1),(75,1),(78,1)}
        22:{2,3,4,7}:{(11,1),(35,1),(38,1),(45,1),(88,1)}
        23:{2,3,6}:{(11,1),(12,1),(144,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(15,1),(39,1),(78,1)}
        25:{1,4,5,6}:{(13,1),(16,1),(41,1),(96,1),(130,1)}
        26:{1,2,3,6,7}:{(14,1),(36,1),(42,1),(43,1),(51,1),(128,1),(144,1),(188,1),(189,1)}
        27:{2,3,4,6,7}:{(14,1),(38,1),(42,1),(44,1),(45,1),(50,1),(88,1),(90,1),(144,1)}
        28:{2,3,5,7}:{(14,1),(15,1),(39,1),(45,1),(46,1)}
        29:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(40,1),(45,1),(46,1),(47,1),(49,1),(92,1),(94,1),(100,1)}
        30:{3,4,5,7}:{(16,1),(19,1),(41,1),(46,1),(47,1)}
        31:{1,3,4,6,7}:{(42,1),(48,1),(76,1),(88,1),(96,1),(128,1),(144,1),(151,1),(175,1)}
        32:{2,4,6,7}:{(17,1),(45,1),(49,1),(50,1),(90,1)}
        33:{3,6,7}:{(18,1),(46,1),(144,1)}
        34:{2,4,6,7}:{(19,1),(20,1),(47,1),(52,1),(152,1)}
        35:{1,2,4,7}:{(21,1),(22,1),(53,1),(55,1)}
        36:{1,2,3,6}:{(21,1),(23,1),(55,1),(101,1)}
        37:{2,3,4,5,7}:{(22,1),(54,1),(57,1),(58,1),(65,1),(107,1),(116,1),(125,1),(156,1),(190,1)}
        38:{2,3,4,6}:{(22,1),(23,1),(55,1),(58,1),(59,1),(106,1)}
        39:{2,3,5,6}:{(23,1),(24,1),(28,1),(58,1),(59,1),(60,1)}
        40:{1,2,4,5,6}:{(24,1),(25,1),(29,1),(59,1),(60,1),(61,1),(71,1),(105,1),(110,1),(112,1),(115,1),(127,1)}
        41:{3,4,5,6}:{(25,1),(30,1),(60,1),(61,1),(124,1),(156,1)}
        42:{1,2,4,6,7}:{(26,1),(27,1),(31,1),(55,1),(62,1),(63,1),(73,1),(115,1),(174,1)}
        43:{1,2,3,5,7}:{(26,1),(28,1),(56,1),(62,1),(63,1),(67,1),(116,1),(154,1),(171,1),(172,1),(195,1)}
        44:{2,3,5,7}:{(27,1),(58,1),(62,1),(64,1),(65,1),(72,1),(116,1)}
        45:{2,4,7}:{(28,1),(59,1),(66,1)}
        46:{3,5,7}:{(29,1),(33,1),(60,1),(66,1)}
        47:{2,4,5,7}:{(30,1),(34,1),(61,1),(68,1)}
        48:{1,3,5,7}:{(31,1),(62,1),(69,1),(70,1),(102,1),(116,1),(166,1)}
        49:{2,4,5,7}:{(32,1),(71,1),(72,1)}
        50:{3,4,6,7}:{(32,1),(33,1),(66,1),(72,1),(73,1),(120,1)}
        51:{1,3,6,7}:{(33,1),(67,1),(73,1),(74,1),(169,1)}
        52:{2,3,6,7}:{(33,1),(34,1),(68,1),(74,1),(170,1)}
        53:{1,3,4,7}:{(35,1),(75,1),(76,1),(88,1),(175,1)}
        54:{1,2,4,5,7}:{(35,1),(37,1),(75,1),(77,1),(78,1),(130,1),(131,1),(175,1)}
        55:{1,2,4,6}:{(35,1),(36,1),(38,1),(76,1),(78,1)}
        56:{1,2,3,5,6}:{(36,1),(39,1),(43,1),(78,1),(79,1),(84,1),(86,1),(129,1),(133,1),(144,1),(181,1),(182,1),(183,1),(189,1)}
        57:{2,3,4,6}:{(37,1),(77,1),(81,1),(90,1),(144,1),(152,1),(176,1)}
        58:{2,3,5}:{(38,1),(78,1),(82,1),(133,1)}
        59:{2,4,6}:{(39,1),(45,1),(82,1),(83,1)}
        60:{3,5,6}:{(40,1),(46,1),(83,1),(133,1),(144,1)}
        61:{2,4,5,6}:{(41,1),(47,1),(85,1),(152,1),(178,1)}
        62:{1,2,5,7}:{(42,1),(44,1),(48,1),(78,1),(86,1),(100,1),(186,1)}
        63:{1,2,4,7}:{(43,1),(45,1),(79,1),(88,1),(92,1),(175,1),(201,1)}
        64:{2,3,5,6}:{(44,1),(86,1),(90,1),(99,1),(144,1)}
        65:{2,4,5,7}:{(44,1),(45,1),(82,1),(90,1),(91,1)}
        66:{3,4,7}:{(45,1),(46,1),(83,1),(92,1)}
        67:{1,3,5,7}:{(46,1),(51,1),(84,1),(92,1),(94,1),(100,1),(150,1)}
        68:{2,3,5,7}:{(46,1),(47,1),(52,1),(85,1),(93,1),(94,1)}
        69:{1,3,5,6}:{(48,1),(86,1),(96,1),(142,1),(144,1)}
        70:{1,4,5,7}:{(48,1),(96,1),(97,1),(130,1),(175,1)}
        71:{2,4,5,6}:{(49,1),(90,1),(99,1)}
        72:{3,5,7}:{(49,1),(50,1),(99,1),(100,1)}
        73:{1,4,6,7}:{(50,1),(51,1),(92,1),(100,1),(149,1)}
        74:{1,2,6,7}:{(51,1),(52,1),(94,1),(189,1)}
        75:{1,3,5,7}:{(53,1),(54,1),(101,1),(102,1),(116,1)}
        76:{1,3,4,6}:{(53,1),(55,1),(101,1),(102,1),(106,1),(155,1)}
        77:{1,2,4,6}:{(54,1),(57,1),(101,1),(104,1),(155,1)}
        78:{1,2,5}:{(55,1),(58,1),(102,1)}
        79:{1,2,4,6}:{(56,1),(59,1),(63,1),(105,1),(106,1),(110,1),(155,1),(192,1)}
        80:{2,3,4,6,7}:{(57,1),(103,1),(107,1),(119,1),(168,1),(174,1),(190,1)}
        81:{2,3,5,6}:{(57,1),(58,1),(104,1),(107,1),(108,1),(158,1),(167,1)}
        82:{2,4,5}:{(58,1),(59,1),(109,1)}
        83:{3,4,6}:{(59,1),(60,1),(66,1),(109,1),(110,1)}
        84:{1,3,5,6}:{(60,1),(67,1),(110,1),(112,1),(127,1),(159,1),(165,1),(169,1)}
        85:{2,3,5,6}:{(60,1),(61,1),(68,1),(111,1),(112,1),(160,1),(170,1)}
        86:{1,2,5,6}:{(62,1),(64,1),(69,1),(115,1),(127,1),(167,1)}
        87:{1,2,4,5,7}:{(62,1),(63,1),(65,1),(70,1),(105,1),(115,1),(116,1),(121,1),(125,1),(171,1)}
        88:{3,4,7}:{(63,1),(106,1),(116,1)}
        89:{2,3,5,6,7}:{(64,1),(107,1),(114,1),(119,1),(126,1),(168,1)}
        90:{2,4,6}:{(64,1),(65,1),(120,1)}
        91:{3,4,5,7}:{(65,1),(66,1),(72,1),(109,1),(116,1),(120,1),(121,1)}
        92:{1,4,7}:{(66,1),(67,1),(110,1)}
        93:{2,3,4,7}:{(66,1),(68,1),(111,1),(122,1)}
        94:{1,2,5,7}:{(67,1),(68,1),(74,1),(112,1),(122,1)}
        95:{1,3,5,6,7}:{(69,1),(114,1),(123,1),(154,1),(166,1),(168,1)}
        96:{1,4,6}:{(69,1),(70,1),(124,1)}
        97:{3,4,5,7}:{(70,1),(116,1),(124,1),(125,1),(156,1),(166,1),(190,1)}
        98:{2,4,5,6,7}:{(71,1),(119,1),(126,1)}
        99:{3,5,6}:{(71,1),(72,1),(120,1),(127,1)}
       100:{1,5,7}:{(72,1),(73,1),(127,1)}
       101:{1,3,6}:{(75,1),(77,1),(144,1)}
       102:{1,3,5}:{(76,1),(78,1),(130,1),(133,1)}
       103:{1,2,4,6,7}:{(77,1),(80,1),(128,1),(131,1),(175,1)}
       104:{1,2,5,6}:{(77,1),(78,1),(81,1),(129,1),(131,1)}
       105:{1,2,4,5}:{(78,1),(79,1),(82,1),(130,1),(133,1),(138,1),(178,1),(182,1)}
       106:{3,4,6}:{(79,1),(88,1),(133,1),(144,1)}
       107:{2,3,5,7}:{(80,1),(81,1),(131,1),(136,1),(179,1),(186,1)}
       108:{2,4,5,6}:{(81,1),(82,1),(90,1),(136,1),(137,1)}
       109:{3,4,5}:{(82,1),(83,1),(133,1),(138,1)}
       110:{1,4,6}:{(83,1),(84,1),(92,1),(138,1)}
       111:{2,3,4,6}:{(83,1),(85,1),(93,1),(139,1),(140,1)}
       112:{1,2,5,6}:{(84,1),(85,1),(94,1),(140,1),(182,1),(189,1)}
       113:{1,4,5,6}:{(96,1),(141,1),(142,1)}
       114:{1,2,5,6,7}:{(86,1),(89,1),(95,1),(131,1),(143,1),(153,1),(186,1)}
       115:{1,2,4,6}:{(86,1),(87,1),(90,1),(96,1),(144,1),(149,1),(152,1),(189,1)}
       116:{3,5,7}:{(87,1),(88,1),(133,1),(144,1)}
       117:{1,3,4,7}:{(88,1),(92,1),(134,1),(145,1),(147,1),(150,1)}
       118:{2,3,4,7}:{(88,1),(135,1),(146,1),(147,1),(201,1),(209,1)}
       119:{2,4,6,7}:{(89,1),(90,1),(136,1),(148,1)}
       120:{3,4,6}:{(90,1),(91,1),(99,1),(144,1),(149,1)}
       121:{1,4,5,7}:{(91,1),(92,1),(100,1),(138,1),(145,1),(149,1)}
       122:{1,2,4,7}:{(92,1),(93,1),(94,1),(140,1),(150,1)}
       123:{1,4,6,7}:{(95,1),(96,1),(141,1),(151,1),(175,1)}
       124:{3,4,6}:{(96,1),(97,1),(142,1),(144,1),(152,1)}
       125:{2,4,5,7}:{(97,1),(146,1),(152,1),(178,1),(186,1),(201,1)}
       126:{3,5,6,7}:{(98,1),(99,1),(148,1),(153,1)}
       127:{1,5,6}:{(99,1),(100,1),(149,1)}
       128:{1,3,6,7}:{(101,1),(103,1),(154,1),(168,1)}
       129:{1,3,5,6}:{(101,1),(102,1),(104,1),(154,1),(155,1),(158,1)}
       130:{1,4,5}:{(102,1),(155,1),(156,1)}
       131:{1,2,5,7}:{(103,1),(104,1),(107,1),(154,1)}
       132:{1,2,4,5,6}:{(104,1),(105,1),(108,1),(113,1),(115,1),(155,1),(157,1),(158,1),(163,1),(167,1),(192,1),(196,1)}
       133:{3,5}:{(105,1),(106,1)}
       134:{1,3,4,6}:{(106,1),(110,1),(117,1),(159,1),(161,1),(165,1),(169,1),(198,1)}
       135:{2,3,4,6}:{(106,1),(118,1),(160,1),(161,1),(170,1),(192,1),(207,1),(208,1)}
       136:{2,4,5,7}:{(107,1),(108,1),(119,1),(162,1)}
       137:{3,4,5,6}:{(108,1),(109,1),(120,1),(158,1),(162,1),(163,1)}
       138:{1,4,5}:{(109,1),(110,1),(159,1)}
       139:{2,3,4,5}:{(109,1),(111,1),(160,1),(164,1),(208,1)}
       140:{1,2,4,6}:{(110,1),(111,1),(112,1),(122,1),(164,1),(165,1)}
       141:{1,4,5,7}:{(113,1),(123,1),(166,1)}
       142:{3,5,6}:{(113,1),(124,1),(166,1),(167,1)}
       143:{1,2,4,6,7}:{(114,1),(115,1),(119,1),(123,1),(157,1),(168,1),(173,1),(174,1),(199,1)}
       144:{3,6}:{(115,1),(116,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(121,1),(159,1),(169,1),(171,1)}
       146:{2,3,5,7}:{(116,1),(118,1),(125,1),(160,1),(170,1),(171,1)}
       147:{1,2,4,7}:{(117,1),(118,1),(161,1),(171,1),(172,1)}
       148:{3,4,6,7}:{(119,1),(120,1),(126,1),(162,1),(168,1),(173,1)}
       149:{1,4,6}:{(120,1),(121,1),(127,1),(169,1)}
       150:{1,3,7}:{(122,1),(165,1)}
       151:{3,4,6,7}:{(123,1),(124,1),(166,1),(168,1),(174,1),(190,1)}
       152:{2,4,6}:{(124,1),(125,1),(167,1),(170,1)}
       153:{1,5,6,7}:{(126,1),(127,1),(173,1)}
       154:{1,3,5,7}:{(128,1),(129,1),(131,1),(175,1),(179,1)}
       155:{1,4,6}:{(129,1),(130,1),(175,1),(176,1)}
       156:{3,4,5}:{(130,1),(133,1),(176,1),(178,1)}
       157:{1,2,4,5,7}:{(131,1),(132,1),(136,1),(141,1),(143,1),(175,1),(179,1),(184,1),(186,1),(201,1),(204,1)}
       158:{3,5,6}:{(132,1),(133,1),(144,1),(176,1),(179,1)}
       159:{1,3,5}:{(133,1),(134,1),(138,1),(182,1)}
       160:{2,3,5}:{(133,1),(135,1),(178,1),(182,1)}
       161:{1,2,4,6}:{(134,1),(135,1),(147,1),(182,1),(183,1),(189,1),(205,1)}
       162:{3,4,5,7}:{(136,1),(137,1),(148,1),(179,1),(184,1)}
       163:{1,4,5,6}:{(137,1),(138,1),(149,1),(180,1),(184,1)}
       164:{1,2,4,5}:{(138,1),(139,1),(140,1),(182,1),(185,1),(205,1)}
       165:{1,3,6}:{(140,1),(150,1),(185,1)}
       166:{3,5,7}:{(141,1),(142,1),(151,1),(186,1)}
       167:{2,5,6}:{(142,1),(152,1),(186,1)}
       168:{3,6,7}:{(143,1),(144,1),(179,1)}
       169:{1,3,6}:{(144,1),(145,1),(149,1),(189,1)}
       170:{2,3,6}:{(144,1),(146,1),(152,1),(189,1)}
       171:{1,2,5,7}:{(145,1),(146,1),(147,1),(182,1),(189,1)}
       172:{1,2,3,7}:{(147,1),(150,1),(183,1),(209,1)}
       173:{1,4,6,7}:{(148,1),(149,1),(153,1),(184,1),(187,1)}
       174:{2,4,6,7}:{(151,1),(152,1),(186,1),(188,1),(201,1)}
       175:{1,4,7}:{(154,1),(155,1),(190,1)}
       176:{3,4,6}:{(155,1),(156,1),(158,1),(190,1),(192,1)}
       177:{1,3,4,5}:{(156,1),(159,1),(191,1),(193,1),(198,1)}
       178:{2,4,5}:{(156,1),(160,1),(192,1)}
       179:{3,5,7}:{(157,1),(158,1),(168,1),(190,1)}
       180:{1,3,5,6}:{(158,1),(159,1),(163,1),(169,1),(191,1),(194,1),(196,1)}
       181:{2,3,5,6}:{(158,1),(160,1),(167,1),(170,1),(192,1),(195,1),(196,1),(207,1)}
       182:{1,2,5}:{(159,1),(160,1),(161,1)}
       183:{1,2,3,6}:{(161,1),(165,1),(172,1),(197,1),(207,1)}
       184:{1,4,5,7}:{(162,1),(163,1),(173,1),(194,1)}
       185:{1,3,5}:{(164,1),(165,1),(198,1)}
       186:{2,5,7}:{(166,1),(167,1),(174,1)}
       187:{1,3,6,7}:{(168,1),(169,1),(173,1),(194,1),(199,1)}
       188:{2,3,6,7}:{(168,1),(170,1),(174,1),(195,1),(199,1)}
       189:{1,2,6}:{(169,1),(170,1),(171,1)}
       190:{3,4,7}:{(175,1),(176,1),(179,1),(201,1)}
       191:{1,3,4,6}:{(176,1),(177,1),(180,1),(200,1),(202,1)}
       192:{2,4,6}:{(176,1),(178,1),(181,1),(201,1)}
       193:{1,2,4,5}:{(177,1),(178,1),(182,1),(202,1),(203,1),(205,1)}
       194:{1,3,5,7}:{(179,1),(180,1),(184,1),(187,1),(200,1),(204,1)}
       195:{2,3,5,7}:{(179,1),(181,1),(186,1),(188,1),(201,1),(204,1),(209,1)}
       196:{1,2,5,6}:{(180,1),(181,1),(182,1),(189,1),(202,1),(204,1)}
       197:{1,2,3,5}:{(182,1),(183,1),(185,1),(203,1),(205,1)}
       198:{1,3,4}:{(185,1),(205,1)}
       199:{1,2,6,7}:{(187,1),(188,1),(189,1),(204,1)}
       200:{1,3,4,7}:{(190,1),(191,1),(194,1),(206,1)}
       201:{2,4,7}:{(190,1),(192,1),(195,1)}
       202:{1,2,4,6}:{(191,1),(192,1),(193,1),(196,1),(206,1),(207,1)}
       203:{2,3,5}:{(193,1),(207,1),(208,1)}
       204:{1,2,5,7}:{(194,1),(195,1),(196,1),(199,1),(206,1)}
       205:{1,2,4}:{(197,1),(198,1),(208,1)}
       206:{1,2,4,7}:{(200,1),(201,1),(202,1),(204,1),(209,1)}
       207:{2,3,6}:{(202,1),(203,1),(209,1)}
       208:{2,3,4}:{(203,1),(205,1)}
       209:{2,3,7}:{(206,1),(207,1)}

1938 :   0:{1,2,3,5,6,7}:{(2,1),(12,1),(22,1),(44,1),(45,1),(49,1),(50,1),(58,1),(60,1),(96,1),(100,1),(110,1),(136,1),(142,1),(165,1)}
         1:{1,2,4,5,6,7}:{(3,1),(11,1),(20,1),(21,1),(22,1),(57,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(69,1),(70,1),(84,1),(125,1),(133,1),(154,1),(172,1)}
         3:{3,5,6,7}:{(1,1),(8,1),(25,1),(83,1)}
         4:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(47,1),(48,1),(49,1),(146,1)}
         5:{3,4,6,7}:{(2,1),(12,1),(43,1),(60,1),(111,1),(142,1),(145,1),(166,1)}
         6:{1,3,4,5,7}:{(15,1),(16,1),(18,1),(47,1),(93,1),(104,1),(111,1),(140,1),(151,1)}
         7:{1,3,4,6,7}:{(15,1),(18,1),(19,1),(20,1),(60,1),(111,1)}
         8:{3,4,6,7}:{(3,1),(17,1),(20,1),(21,1),(43,1),(60,1),(111,1)}
         9:{1,3,5,6,7}:{(3,1),(18,1),(20,1),(22,1),(44,1),(60,1),(110,1)}
        10:{2,3,5,6,7}:{(3,1),(21,1),(22,1),(45,1),(56,1),(58,1),(60,1)}
        11:{1,2,4,5,6}:{(4,1),(25,1),(69,1),(70,1),(71,1)}
        12:{3,5,7}:{(4,1),(5,1),(25,1),(162,1)}
        13:{1,3,4,6,7}:{(5,1),(27,1),(29,1),(69,1),(85,1),(115,1),(119,1),(124,1),(129,1),(133,1),(154,1),(161,1)}
        14:{2,3,4,6,7}:{(5,1),(28,1),(29,1),(37,1),(70,1),(81,1),(84,1),(124,1),(129,1),(158,1),(160,1),(172,1)}
        15:{1,3,4,6}:{(6,1),(31,1),(32,1),(69,1),(124,1),(131,1)}
        16:{1,2,4,5,7}:{(6,1),(32,1),(33,1),(36,1),(73,1),(84,1),(126,1),(132,1)}
        17:{3,4,5,7}:{(8,1),(30,1),(34,1),(35,1),(83,1)}
        18:{1,3,5,7}:{(7,1),(31,1),(34,1),(36,1),(83,1)}
        19:{1,2,4,6,7}:{(7,1),(32,1),(36,1),(37,1),(84,1)}
        20:{1,4,6,7}:{(8,1),(9,1),(34,1),(69,1),(133,1)}
        21:{2,4,6,7}:{(8,1),(10,1),(35,1),(70,1),(84,1)}
        22:{1,2,5,6,7}:{(9,1),(10,1),(36,1),(39,1),(71,1),(82,1)}
        23:{2,3,4,5,7}:{(40,1),(41,1),(48,1),(55,1),(87,1),(104,1),(109,1),(166,1),(168,1)}
        24:{1,2,4,5,6,7}:{(11,1),(42,1),(94,1),(95,1),(96,1),(135,1)}
        25:{3,5,6}:{(11,1),(12,1),(43,1)}
        26:{3,4,5,7}:{(12,1),(43,1),(47,1),(48,1),(104,1),(111,1),(151,1),(166,1),(168,1)}
        27:{1,3,5,7}:{(12,1),(13,1),(44,1),(47,1),(49,1),(104,1),(140,1),(171,1)}
        28:{2,3,5,7}:{(12,1),(14,1),(45,1),(48,1),(49,1),(104,1),(109,1),(170,1)}
        29:{1,2,4,6,7}:{(13,1),(14,1),(49,1),(50,1),(99,1),(101,1),(105,1),(169,1)}
        30:{3,4,5,6}:{(17,1),(43,1),(51,1),(52,1),(107,1),(168,1)}
        31:{1,3,5,6}:{(15,1),(18,1),(51,1),(53,1),(107,1),(140,1)}
        32:{1,2,4,6}:{(15,1),(16,1),(53,1),(54,1),(108,1)}
        33:{2,3,5,7}:{(16,1),(54,1),(55,1),(104,1),(109,1)}
        34:{1,4,5,7}:{(17,1),(18,1),(20,1),(51,1)}
        35:{2,4,5,7}:{(17,1),(21,1),(52,1),(56,1)}
        36:{1,2,5,7}:{(18,1),(19,1),(53,1),(58,1)}
        37:{2,3,6,7}:{(19,1),(54,1),(58,1),(60,1)}
        38:{2,3,4,6,7}:{(21,1),(56,1),(59,1),(60,1),(98,1),(111,1)}
        39:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(57,1),(60,1),(99,1)}
        40:{2,3,4,6}:{(23,1),(63,1),(64,1),(70,1),(124,1),(156,1)}
        41:{1,2,4,5,7}:{(23,1),(64,1),(65,1),(73,1),(114,1),(126,1),(154,1),(157,1)}
        42:{3,5,6,7}:{(24,1),(25,1),(66,1),(153,1)}
        43:{3,4,6}:{(25,1),(26,1),(69,1),(70,1),(124,1)}
        44:{1,3,5,6}:{(25,1),(27,1),(69,1),(71,1),(124,1)}
        45:{2,3,5,6}:{(25,1),(28,1),(70,1),(71,1),(124,1)}
        46:{1,2,3,5,7}:{(33,1),(65,1),(72,1),(73,1),(126,1)}
        47:{1,4,5,7}:{(26,1),(27,1),(69,1),(133,1),(154,1),(157,1),(164,1)}
        48:{2,4,5,7}:{(26,1),(28,1),(70,1),(84,1),(132,1),(172,1),(173,1)}
        49:{1,2,5,7}:{(27,1),(28,1),(29,1),(71,1),(126,1),(174,1)}
        50:{1,2,3,6,7}:{(29,1),(37,1),(72,1),(77,1),(85,1),(115,1),(124,1),(158,1),(159,1)}
        51:{1,4,5,6}:{(30,1),(31,1),(34,1),(69,1),(157,1)}
        52:{2,4,5,6}:{(30,1),(35,1),(70,1),(78,1),(173,1)}
        53:{1,2,5,6}:{(31,1),(32,1),(36,1),(80,1),(126,1)}
        54:{2,3,6}:{(32,1),(33,1),(124,1)}
        55:{2,3,4,7}:{(33,1),(73,1),(81,1),(84,1),(129,1)}
        56:{2,3,5,7}:{(35,1),(38,1),(78,1),(82,1),(83,1)}
        57:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(39,1),(79,1),(82,1),(83,1),(84,1),(133,1)}
        58:{2,3,5,7}:{(36,1),(37,1),(80,1),(83,1),(84,1)}
        59:{1,2,4,6,7}:{(38,1),(82,1),(85,1),(123,1),(133,1)}
        60:{3,6,7}:{(39,1),(83,1),(124,1)}
        61:{2,3,4,6,7}:{(40,1),(87,1),(88,1),(95,1),(142,1),(166,1)}
        62:{3,4,5,6}:{(43,1),(86,1),(89,1),(90,1),(138,1),(151,1)}
        63:{2,3,5,6}:{(40,1),(87,1),(90,1),(91,1),(109,1),(138,1)}
        64:{1,2,4,6}:{(40,1),(41,1),(91,1),(92,1),(139,1)}
        65:{1,3,5,7}:{(41,1),(92,1),(93,1),(104,1),(140,1)}
        66:{3,4,6,7}:{(42,1),(43,1),(86,1),(94,1),(95,1),(142,1),(166,1)}
        67:{1,3,5,6,7}:{(42,1),(44,1),(94,1),(96,1),(134,1),(136,1),(142,1)}
        68:{2,3,5,6,7}:{(42,1),(45,1),(87,1),(95,1),(96,1),(142,1),(165,1)}
        69:{1,4,6}:{(43,1),(44,1),(47,1)}
        70:{2,4,6}:{(43,1),(45,1),(48,1)}
        71:{1,2,5,6}:{(44,1),(45,1),(49,1),(99,1)}
        72:{1,2,3,6}:{(46,1),(54,1),(92,1),(101,1)}
        73:{1,2,4,7}:{(46,1),(55,1),(93,1),(101,1)}
        74:{1,3,4,5,7}:{(47,1),(97,1),(102,1),(104,1),(134,1),(149,1),(166,1),(168,1),(171,1)}
        75:{2,3,4,5,7}:{(48,1),(56,1),(98,1),(103,1),(104,1),(111,1),(148,1),(151,1),(170,1)}
        76:{1,2,4,5,7}:{(47,1),(48,1),(49,1),(99,1),(104,1),(105,1),(146,1)}
        77:{1,2,3,5,7}:{(49,1),(50,1),(58,1),(100,1),(104,1),(105,1),(110,1),(136,1),(165,1)}
        78:{2,3,5,6}:{(52,1),(56,1),(98,1),(106,1),(107,1),(170,1)}
        79:{1,2,4,5,6}:{(51,1),(52,1),(53,1),(57,1),(99,1),(106,1),(107,1),(108,1),(146,1),(150,1)}
        80:{2,3,5,6}:{(53,1),(54,1),(58,1),(107,1),(108,1),(109,1)}
        81:{2,3,4,6}:{(54,1),(55,1),(101,1),(108,1),(109,1),(145,1)}
        82:{1,2,5,7}:{(56,1),(59,1),(106,1),(110,1)}
        83:{3,5,7}:{(57,1),(60,1),(107,1),(111,1)}
        84:{2,4,7}:{(58,1),(108,1),(111,1)}
        85:{1,3,6,7}:{(59,1),(60,1),(110,1),(144,1)}
        86:{3,4,5,7}:{(62,1),(66,1),(112,1),(113,1),(153,1)}
        87:{2,3,5,7}:{(61,1),(63,1),(113,1),(114,1),(153,1)}
        88:{1,2,4,6,7}:{(61,1),(64,1),(114,1),(115,1),(154,1)}
        89:{1,4,5,6}:{(62,1),(69,1),(112,1),(116,1),(164,1)}
        90:{2,4,5,6}:{(62,1),(63,1),(70,1),(113,1),(132,1)}
        91:{1,2,5,6}:{(63,1),(64,1),(114,1),(118,1),(126,1)}
        92:{1,3,6}:{(64,1),(65,1),(124,1)}
        93:{1,3,4,7}:{(65,1),(73,1),(119,1),(129,1),(154,1)}
        94:{1,4,6,7}:{(66,1),(67,1),(69,1),(112,1),(154,1)}
        95:{2,4,6,7}:{(66,1),(68,1),(70,1),(113,1),(172,1)}
        96:{1,2,5,6,7}:{(67,1),(68,1),(71,1),(114,1),(121,1),(152,1)}
        97:{1,3,4,6}:{(69,1),(74,1),(116,1),(122,1),(124,1),(156,1)}
        98:{2,3,4,6}:{(70,1),(75,1),(78,1),(123,1),(124,1),(131,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(71,1),(76,1),(124,1)}
       100:{1,2,3,5,6}:{(71,1),(72,1),(77,1),(80,1),(118,1),(124,1),(125,1),(126,1),(130,1),(155,1),(159,1),(162,1),(174,1)}
       101:{1,2,4,6}:{(72,1),(73,1),(81,1),(119,1),(126,1)}
       102:{1,2,4,5,7}:{(74,1),(122,1),(127,1),(152,1),(163,1),(172,1),(173,1),(174,1)}
       103:{1,2,4,5,7}:{(75,1),(82,1),(123,1),(128,1),(133,1),(163,1),(164,1),(174,1)}
       104:{3,5,7}:{(76,1),(124,1),(129,1),(162,1)}
       105:{1,2,4,7}:{(77,1),(84,1),(125,1),(129,1),(133,1),(154,1),(172,1)}
       106:{1,2,5,6}:{(78,1),(82,1),(123,1),(130,1),(174,1)}
       107:{3,5,6}:{(79,1),(83,1),(124,1),(131,1),(162,1)}
       108:{2,4,6}:{(80,1),(84,1),(131,1),(132,1)}
       109:{2,3,5}:{(81,1),(126,1),(132,1),(162,1)}
       110:{1,3,5,7}:{(82,1),(83,1),(85,1),(130,1),(133,1)}
       111:{3,4,7}:{(83,1),(84,1),(131,1),(133,1)}
       112:{1,4,5,7}:{(86,1),(89,1),(94,1),(134,1)}
       113:{2,4,5,7}:{(86,1),(87,1),(90,1),(95,1)}
       114:{1,2,5,7}:{(87,1),(88,1),(91,1),(136,1)}
       115:{1,3,6,7}:{(88,1),(92,1),(136,1),(142,1)}
       116:{1,3,5,6}:{(89,1),(97,1),(134,1),(137,1),(138,1),(171,1)}
       117:{1,2,4,5,6}:{(89,1),(90,1),(91,1),(99,1),(135,1),(137,1),(138,1),(139,1),(146,1),(167,1)}
       118:{1,3,5,6}:{(91,1),(92,1),(136,1),(138,1),(139,1),(140,1)}
       119:{1,3,4,6}:{(92,1),(93,1),(101,1),(139,1),(140,1),(145,1)}
       120:{1,3,4,6,7}:{(94,1),(97,1),(134,1),(141,1),(142,1),(166,1)}
       121:{1,2,4,6,7}:{(94,1),(95,1),(96,1),(99,1),(135,1),(142,1)}
       122:{1,2,4,6}:{(97,1),(102,1),(137,1),(143,1),(167,1)}
       123:{1,2,4,6}:{(98,1),(103,1),(106,1),(144,1),(150,1)}
       124:{3,6}:{(99,1),(104,1)}
       125:{1,2,4,6}:{(100,1),(105,1),(108,1),(139,1),(145,1),(146,1),(150,1),(167,1)}
       126:{1,2,5}:{(101,1),(109,1),(140,1)}
       127:{2,3,5,7}:{(102,1),(104,1),(143,1),(148,1),(170,1)}
       128:{1,3,5,7}:{(103,1),(104,1),(144,1),(149,1),(171,1)}
       129:{3,4,7}:{(104,1),(105,1),(145,1)}
       130:{1,3,5,6}:{(106,1),(107,1),(110,1),(144,1),(150,1),(171,1)}
       131:{3,4,6}:{(107,1),(108,1),(111,1),(150,1),(151,1)}
       132:{2,4,5}:{(108,1),(109,1),(151,1)}
       133:{1,4,7}:{(110,1),(111,1),(150,1)}
       134:{1,3,5,7}:{(112,1),(116,1),(120,1),(152,1),(153,1)}
       135:{1,2,4,5,7}:{(112,1),(113,1),(114,1),(117,1),(121,1),(152,1),(153,1),(154,1),(172,1)}
       136:{1,3,5,7}:{(114,1),(115,1),(118,1),(153,1),(154,1)}
       137:{1,2,5,6}:{(116,1),(122,1),(152,1),(155,1),(174,1)}
       138:{3,5,6}:{(117,1),(124,1),(153,1),(156,1),(162,1)}
       139:{1,4,6}:{(118,1),(154,1),(156,1),(157,1)}
       140:{1,3,5}:{(119,1),(126,1),(157,1),(162,1)}
       141:{1,2,4,6,7}:{(120,1),(122,1),(152,1),(158,1),(172,1)}
       142:{3,6,7}:{(121,1),(124,1),(153,1)}
       143:{2,3,6}:{(122,1),(124,1),(127,1)}
       144:{1,3,6}:{(123,1),(124,1),(128,1)}
       145:{3,4,6}:{(124,1),(125,1),(129,1),(162,1)}
       146:{1,2,4,5}:{(125,1),(126,1),(132,1),(157,1),(162,1),(164,1),(173,1),(174,1)}
       147:{1,2,3,5,7}:{(127,1),(128,1),(159,1),(163,1),(174,1)}
       148:{2,3,4,7}:{(127,1),(129,1),(160,1),(163,1),(172,1)}
       149:{1,3,4,7}:{(128,1),(129,1),(133,1),(161,1),(163,1)}
       150:{1,4,6}:{(130,1),(131,1),(133,1),(164,1)}
       151:{3,4,5}:{(131,1),(132,1),(162,1),(164,1)}
       152:{1,2,5,7}:{(134,1),(137,1),(141,1),(165,1)}
       153:{3,5,7}:{(135,1),(138,1),(142,1),(166,1)}
       154:{1,4,7}:{(136,1),(139,1),(166,1)}
       155:{2,3,5,6}:{(137,1),(138,1),(143,1),(165,1),(167,1),(170,1)}
       156:{3,4,6}:{(138,1),(139,1),(166,1),(167,1),(168,1)}
       157:{1,4,5}:{(139,1),(140,1),(168,1)}
       158:{2,3,6,7}:{(141,1),(142,1),(143,1),(165,1)}
       159:{1,2,3,6}:{(143,1),(144,1),(147,1),(169,1)}
       160:{2,3,4,6}:{(143,1),(145,1),(148,1),(167,1),(169,1),(170,1)}
       161:{1,3,4,6}:{(144,1),(145,1),(149,1),(150,1),(169,1),(171,1)}
       162:{3,5}:{(145,1),(146,1)}
       163:{1,2,4,7}:{(147,1),(148,1),(149,1),(169,1)}
       164:{1,4,5}:{(150,1),(151,1),(171,1)}
       165:{2,3,5,7}:{(152,1),(153,1),(155,1),(158,1),(172,1)}
       166:{3,4,7}:{(153,1),(154,1),(156,1),(172,1)}
       167:{2,4,6}:{(155,1),(156,1),(172,1),(173,1)}
       168:{3,4,5}:{(156,1),(157,1),(162,1),(173,1)}
       169:{1,2,4,6}:{(159,1),(160,1),(161,1),(163,1),(174,1)}
       170:{2,3,5}:{(160,1),(162,1),(173,1),(174,1)}
       171:{1,3,5}:{(161,1),(162,1),(164,1),(174,1)}
       172:{2,4,7}:{(165,1),(166,1),(167,1)}
       173:{2,4,5}:{(167,1),(168,1),(170,1)}
       174:{1,2,5}:{(169,1),(170,1),(171,1)}

1939 :   0:{1,2,4,5,6,7}:{(1,1),(8,1),(9,1),(10,1),(20,1),(30,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(37,1),(48,1)}
         2:{1,2,3,5,6,7}:{(6,1),(10,1),(21,1),(31,1),(58,1),(59,1),(60,1),(61,1),(63,1),(65,1),(109,1),(110,1),(152,1),(155,1),(168,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(31,1),(54,1),(67,1)}
         4:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(26,1),(31,1),(58,1),(63,1)}
         5:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(24,1),(31,1),(59,1),(65,1)}
         6:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(78,1),(79,1),(86,1),(88,1),(135,1),(166,1),(173,1)}
         7:{3,4,5,7}:{(3,1),(15,1),(16,1),(17,1),(48,1)}
         8:{1,4,6,7}:{(3,1),(4,1),(16,1),(78,1),(86,1)}
         9:{2,4,6,7}:{(3,1),(5,1),(17,1),(79,1),(88,1)}
        10:{1,2,5,6,7}:{(4,1),(5,1),(18,1),(42,1),(45,1),(83,1)}
        11:{1,2,4,5,7}:{(6,1),(20,1),(21,1),(55,1),(56,1),(60,1),(154,1)}
        12:{3,4,6,7}:{(6,1),(21,1),(31,1),(54,1),(67,1),(152,1),(153,1),(171,1)}
        13:{2,3,4,6,7}:{(9,1),(24,1),(25,1),(31,1),(52,1),(67,1)}
        14:{1,3,4,6,7}:{(8,1),(26,1),(27,1),(31,1),(32,1),(67,1)}
        15:{3,4,5,6}:{(7,1),(28,1),(29,1),(54,1),(66,1),(172,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(26,1),(28,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(24,1),(29,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(30,1),(31,1),(107,1)}
        19:{1,3,4,5,7}:{(26,1),(32,1),(33,1),(55,1),(67,1),(108,1),(114,1),(119,1),(157,1)}
        20:{1,2,4,5,6}:{(11,1),(37,1),(78,1),(79,1),(83,1)}
        21:{3,5,7}:{(11,1),(12,1),(37,1),(165,1)}
        22:{1,3,4,6,7}:{(12,1),(38,1),(40,1),(43,1),(78,1),(86,1),(128,1),(133,1),(134,1),(140,1),(141,1),(166,1)}
        23:{2,3,4,6,7}:{(12,1),(39,1),(40,1),(46,1),(79,1),(88,1),(96,1),(133,1),(134,1),(160,1),(161,1),(173,1)}
        24:{2,3,5,7}:{(13,1),(17,1),(41,1),(42,1),(48,1)}
        25:{1,2,4,6,7}:{(13,1),(42,1),(43,1),(74,1),(86,1)}
        26:{1,3,5,7}:{(14,1),(16,1),(44,1),(45,1),(48,1)}
        27:{1,2,4,6,7}:{(14,1),(45,1),(46,1),(50,1),(88,1)}
        28:{1,4,5,6}:{(15,1),(16,1),(44,1),(78,1),(167,1)}
        29:{2,4,5,6}:{(15,1),(17,1),(41,1),(79,1),(174,1)}
        30:{1,2,4,5,7}:{(16,1),(17,1),(18,1),(42,1),(45,1),(47,1),(48,1),(86,1),(88,1)}
        31:{3,6,7}:{(18,1),(48,1),(133,1)}
        32:{1,3,4,6}:{(19,1),(44,1),(50,1),(78,1),(89,1),(133,1)}
        33:{1,2,4,5,7}:{(19,1),(45,1),(50,1),(51,1),(88,1),(95,1),(137,1),(142,1)}
        34:{2,3,4,5,7}:{(24,1),(52,1),(53,1),(56,1),(67,1),(108,1),(114,1),(147,1),(170,1)}
        35:{3,4,5,7}:{(21,1),(54,1),(55,1),(56,1),(67,1),(108,1),(114,1),(171,1),(172,1)}
        36:{1,2,4,5,6,7}:{(20,1),(57,1),(105,1),(106,1),(109,1),(150,1)}
        37:{3,5,6}:{(20,1),(21,1),(54,1)}
        38:{1,3,5,7}:{(21,1),(22,1),(55,1),(58,1),(60,1),(108,1),(149,1),(157,1)}
        39:{2,3,5,7}:{(21,1),(23,1),(56,1),(59,1),(60,1),(108,1),(121,1),(170,1)}
        40:{1,2,4,6,7}:{(22,1),(23,1),(60,1),(61,1),(107,1),(111,1),(120,1),(148,1)}
        41:{2,3,5,6}:{(24,1),(29,1),(52,1),(62,1),(66,1),(170,1)}
        42:{1,2,5,7}:{(24,1),(25,1),(62,1),(63,1)}
        43:{1,3,6,7}:{(25,1),(31,1),(63,1),(100,1)}
        44:{1,3,5,6}:{(26,1),(28,1),(32,1),(64,1),(66,1),(157,1)}
        45:{1,2,5,7}:{(26,1),(27,1),(64,1),(65,1)}
        46:{2,3,6,7}:{(27,1),(31,1),(65,1),(71,1)}
        47:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(62,1),(64,1),(66,1),(107,1),(112,1),(113,1),(154,1)}
        48:{3,5,7}:{(30,1),(31,1),(66,1),(67,1)}
        49:{2,3,4,5,7}:{(56,1),(68,1),(69,1),(72,1),(108,1),(115,1),(121,1),(171,1),(172,1)}
        50:{1,2,4,6}:{(32,1),(33,1),(64,1),(71,1),(113,1)}
        51:{2,3,5,7}:{(33,1),(71,1),(72,1),(108,1),(121,1)}
        52:{2,3,4,6}:{(34,1),(41,1),(74,1),(79,1),(89,1),(133,1)}
        53:{1,2,4,5,7}:{(34,1),(42,1),(74,1),(75,1),(86,1),(127,1),(136,1),(162,1)}
        54:{3,4,6}:{(35,1),(37,1),(78,1),(79,1),(133,1)}
        55:{1,4,5,7}:{(35,1),(38,1),(78,1),(86,1),(136,1),(166,1),(167,1)}
        56:{2,4,5,7}:{(35,1),(39,1),(79,1),(88,1),(137,1),(173,1),(174,1)}
        57:{3,5,6,7}:{(36,1),(37,1),(77,1),(163,1)}
        58:{1,3,5,6}:{(37,1),(38,1),(78,1),(83,1),(133,1)}
        59:{2,3,5,6}:{(37,1),(39,1),(79,1),(83,1),(133,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(40,1),(83,1),(142,1),(162,1)}
        61:{1,2,3,6,7}:{(40,1),(43,1),(46,1),(84,1),(94,1),(126,1),(133,1),(140,1),(160,1)}
        62:{1,2,5,6}:{(41,1),(42,1),(74,1),(85,1),(162,1)}
        63:{1,3,5,7}:{(42,1),(43,1),(48,1),(85,1),(86,1)}
        64:{1,2,5,6}:{(44,1),(45,1),(50,1),(87,1),(142,1)}
        65:{2,3,5,7}:{(45,1),(46,1),(48,1),(87,1),(88,1)}
        66:{3,5,6}:{(47,1),(48,1),(89,1),(133,1),(165,1)}
        67:{3,4,7}:{(48,1),(86,1),(88,1),(89,1)}
        68:{2,3,4,6}:{(49,1),(79,1),(90,1),(92,1),(133,1),(164,1)}
        69:{1,2,4,5,7}:{(49,1),(92,1),(93,1),(95,1),(138,1),(142,1),(166,1),(167,1)}
        70:{1,2,3,5,7}:{(51,1),(93,1),(94,1),(95,1),(142,1)}
        71:{2,3,6}:{(50,1),(51,1),(133,1)}
        72:{2,3,4,7}:{(51,1),(88,1),(95,1),(96,1),(134,1)}
        73:{1,3,4,5,7}:{(55,1),(97,1),(98,1),(101,1),(108,1),(143,1),(149,1),(171,1),(172,1)}
        74:{1,2,4,6}:{(52,1),(53,1),(62,1),(100,1),(112,1)}
        75:{1,3,5,7}:{(53,1),(100,1),(101,1),(108,1),(149,1)}
        76:{3,4,5,6}:{(54,1),(102,1),(103,1),(104,1),(114,1),(151,1)}
        77:{3,4,6,7}:{(54,1),(57,1),(102,1),(105,1),(106,1),(152,1),(171,1)}
        78:{1,4,6}:{(54,1),(55,1),(58,1)}
        79:{2,4,6}:{(54,1),(56,1),(59,1)}
        80:{1,2,4,5,7}:{(55,1),(56,1),(60,1),(107,1),(108,1),(111,1),(154,1)}
        81:{1,3,5,6,7}:{(57,1),(58,1),(105,1),(109,1),(143,1),(152,1),(155,1)}
        82:{2,3,5,6,7}:{(57,1),(59,1),(106,1),(109,1),(115,1),(152,1),(168,1)}
        83:{1,2,5,6}:{(58,1),(59,1),(60,1),(107,1)}
        84:{1,2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(108,1),(110,1),(111,1),(155,1),(168,1)}
        85:{1,3,5,6}:{(62,1),(63,1),(66,1),(100,1),(112,1),(149,1)}
        86:{1,4,7}:{(63,1),(67,1),(112,1)}
        87:{2,3,5,6}:{(64,1),(65,1),(66,1),(71,1),(113,1),(121,1)}
        88:{2,4,7}:{(65,1),(67,1),(113,1)}
        89:{3,4,6}:{(66,1),(67,1),(112,1),(113,1),(114,1)}
        90:{2,3,5,6}:{(68,1),(104,1),(115,1),(116,1),(121,1),(151,1)}
        91:{2,3,4,6,7}:{(68,1),(106,1),(115,1),(117,1),(152,1),(171,1)}
        92:{1,2,4,6}:{(68,1),(69,1),(116,1),(118,1),(156,1)}
        93:{1,3,5,7}:{(69,1),(108,1),(118,1),(119,1),(157,1)}
        94:{1,2,3,6}:{(70,1),(71,1),(118,1),(120,1)}
        95:{1,2,4,7}:{(70,1),(72,1),(119,1),(120,1)}
        96:{2,3,4,6}:{(71,1),(72,1),(113,1),(120,1),(121,1),(153,1)}
        97:{1,3,4,6}:{(73,1),(78,1),(122,1),(124,1),(133,1),(164,1)}
        98:{1,2,4,5,7}:{(73,1),(124,1),(125,1),(127,1),(158,1),(162,1),(173,1),(174,1)}
        99:{1,2,3,5,7}:{(75,1),(125,1),(126,1),(127,1),(162,1)}
       100:{1,3,6}:{(74,1),(75,1),(133,1)}
       101:{1,3,4,7}:{(75,1),(86,1),(127,1),(128,1),(134,1)}
       102:{3,4,5,7}:{(76,1),(77,1),(129,1),(130,1),(163,1)}
       103:{1,4,5,6}:{(76,1),(78,1),(122,1),(129,1),(136,1)}
       104:{2,4,5,6}:{(76,1),(79,1),(90,1),(130,1),(137,1)}
       105:{1,4,6,7}:{(77,1),(78,1),(81,1),(129,1),(166,1)}
       106:{2,4,6,7}:{(77,1),(79,1),(82,1),(130,1),(173,1)}
       107:{1,2,4,6}:{(78,1),(79,1),(80,1),(83,1),(133,1)}
       108:{3,5,7}:{(80,1),(133,1),(134,1),(165,1)}
       109:{1,2,5,6,7}:{(81,1),(82,1),(83,1),(132,1),(138,1),(158,1)}
       110:{1,2,3,5,6}:{(83,1),(84,1),(85,1),(87,1),(94,1),(126,1),(133,1),(135,1),(139,1),(142,1),(159,1),(162,1),(165,1)}
       111:{1,2,4,7}:{(84,1),(86,1),(88,1),(134,1),(135,1),(166,1),(173,1)}
       112:{1,4,6}:{(85,1),(86,1),(89,1),(136,1)}
       113:{2,4,6}:{(87,1),(88,1),(89,1),(137,1)}
       114:{3,4,5}:{(89,1),(136,1),(137,1),(165,1)}
       115:{2,3,5,7}:{(90,1),(91,1),(130,1),(138,1),(163,1)}
       116:{1,2,5,6}:{(90,1),(92,1),(138,1),(139,1),(142,1)}
       117:{1,2,4,6,7}:{(91,1),(92,1),(138,1),(140,1),(166,1)}
       118:{1,3,6}:{(92,1),(93,1),(133,1)}
       119:{1,3,4,7}:{(93,1),(95,1),(134,1),(141,1),(166,1)}
       120:{1,2,4,6}:{(94,1),(95,1),(96,1),(141,1),(142,1)}
       121:{2,3,5}:{(96,1),(137,1),(142,1),(165,1)}
       122:{1,3,5,6}:{(97,1),(103,1),(143,1),(144,1),(149,1),(151,1)}
       123:{1,3,4,6,7}:{(97,1),(105,1),(143,1),(145,1),(152,1),(171,1)}
       124:{1,2,4,6}:{(97,1),(98,1),(144,1),(146,1),(169,1)}
       125:{2,3,5,7}:{(98,1),(108,1),(146,1),(147,1),(170,1)}
       126:{1,2,3,6}:{(99,1),(100,1),(146,1),(148,1)}
       127:{1,2,4,7}:{(99,1),(101,1),(147,1),(148,1)}
       128:{1,3,4,6}:{(100,1),(101,1),(112,1),(148,1),(149,1),(153,1)}
       129:{1,4,5,7}:{(102,1),(103,1),(105,1),(143,1)}
       130:{2,4,5,7}:{(102,1),(104,1),(106,1),(115,1)}
       131:{1,2,4,5,6}:{(103,1),(104,1),(107,1),(116,1),(144,1),(150,1),(151,1),(154,1),(156,1),(169,1)}
       132:{1,2,4,6,7}:{(105,1),(106,1),(107,1),(109,1),(150,1),(152,1)}
       133:{3,6}:{(107,1),(108,1)}
       134:{3,4,7}:{(108,1),(111,1),(153,1)}
       135:{1,2,4,6}:{(110,1),(111,1),(112,1),(113,1),(153,1),(154,1),(156,1),(169,1)}
       136:{1,4,5}:{(112,1),(114,1),(149,1)}
       137:{2,4,5}:{(113,1),(114,1),(121,1)}
       138:{1,2,5,7}:{(115,1),(116,1),(117,1),(155,1)}
       139:{1,3,5,6}:{(116,1),(118,1),(151,1),(155,1),(156,1),(157,1)}
       140:{1,3,6,7}:{(117,1),(118,1),(152,1),(155,1)}
       141:{1,3,4,6}:{(118,1),(119,1),(120,1),(153,1),(156,1),(157,1)}
       142:{1,2,5}:{(120,1),(121,1),(157,1)}
       143:{1,3,5,7}:{(122,1),(123,1),(129,1),(158,1),(163,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(158,1),(159,1),(162,1)}
       145:{1,2,4,6,7}:{(123,1),(124,1),(158,1),(160,1),(173,1)}
       146:{2,3,6}:{(124,1),(125,1),(133,1)}
       147:{2,3,4,7}:{(125,1),(127,1),(134,1),(161,1),(173,1)}
       148:{1,2,4,6}:{(126,1),(127,1),(128,1),(161,1),(162,1)}
       149:{1,3,5}:{(128,1),(136,1),(162,1),(165,1)}
       150:{1,2,4,5,7}:{(129,1),(130,1),(131,1),(132,1),(138,1),(158,1),(163,1),(166,1),(173,1)}
       151:{3,5,6}:{(131,1),(133,1),(163,1),(164,1),(165,1)}
       152:{3,6,7}:{(132,1),(133,1),(163,1)}
       153:{3,4,6}:{(133,1),(134,1),(135,1),(165,1)}
       154:{1,2,4,5}:{(135,1),(136,1),(137,1),(142,1),(162,1),(165,1),(167,1),(174,1)}
       155:{1,3,5,7}:{(138,1),(139,1),(140,1),(163,1),(166,1)}
       156:{1,4,6}:{(139,1),(164,1),(166,1),(167,1)}
       157:{1,3,5}:{(141,1),(142,1),(165,1),(167,1)}
       158:{1,2,5,7}:{(143,1),(144,1),(145,1),(168,1)}
       159:{2,3,5,6}:{(144,1),(146,1),(151,1),(168,1),(169,1),(170,1)}
       160:{2,3,6,7}:{(145,1),(146,1),(152,1),(168,1)}
       161:{2,3,4,6}:{(146,1),(147,1),(148,1),(153,1),(169,1),(170,1)}
       162:{1,2,5}:{(148,1),(149,1),(170,1)}
       163:{3,5,7}:{(150,1),(151,1),(152,1),(171,1)}
       164:{3,4,6}:{(151,1),(156,1),(169,1),(171,1),(172,1)}
       165:{3,5}:{(153,1),(154,1)}
       166:{1,4,7}:{(155,1),(156,1),(171,1)}
       167:{1,4,5}:{(156,1),(157,1),(172,1)}
       168:{2,3,5,7}:{(158,1),(159,1),(160,1),(163,1),(173,1)}
       169:{2,4,6}:{(159,1),(164,1),(173,1),(174,1)}
       170:{2,3,5}:{(161,1),(162,1),(165,1),(174,1)}
       171:{3,4,7}:{(163,1),(164,1),(166,1),(173,1)}
       172:{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)}

1940 :   0:{1,3,4,5,7}:{(3,1),(4,1),(24,1),(39,1),(90,1),(132,1),(137,1),(146,1),(182,1),(184,1)}
         1:{2,3,4,5,7}:{(5,1),(6,1),(27,1),(34,1),(86,1),(133,1),(136,1),(148,1),(182,1),(186,1)}
         2:{1,4,5,6,7}:{(7,1),(40,1),(178,1)}
         3:{1,3,4,6}:{(0,1),(12,1),(13,1),(116,1),(165,1),(200,1),(201,1)}
         4:{1,2,4,5,7}:{(0,1),(13,1),(14,1),(48,1),(55,1),(103,1),(114,1),(117,1)}
         5:{2,3,4,6}:{(1,1),(16,1),(17,1),(119,1),(162,1),(200,1),(202,1)}
         6:{1,2,4,5,7}:{(1,1),(17,1),(18,1),(52,1),(55,1),(107,1),(114,1),(120,1)}
         7:{3,5,6,7}:{(2,1),(19,1),(21,1),(196,1)}
         8:{2,4,5,6,7}:{(22,1),(68,1),(151,1)}
         9:{1,3,4,6,7}:{(3,1),(24,1),(25,1),(40,1),(92,1),(132,1),(149,1)}
        10:{2,3,4,6,7}:{(5,1),(27,1),(28,1),(68,1),(125,1),(136,1),(176,1)}
        11:{3,4,5,6}:{(23,1),(30,1),(31,1),(84,1),(148,1),(187,1)}
        12:{1,3,5,6}:{(3,1),(24,1),(30,1),(32,1),(84,1),(90,1),(194,1)}
        13:{1,2,4,6}:{(3,1),(4,1),(32,1),(33,1),(85,1)}
        14:{2,3,5,7}:{(4,1),(33,1),(34,1),(86,1),(182,1)}
        15:{3,4,5,6}:{(26,1),(35,1),(36,1),(88,1),(146,1),(185,1)}
        16:{2,3,5,6}:{(5,1),(27,1),(36,1),(37,1),(86,1),(88,1),(205,1)}
        17:{1,2,4,6}:{(5,1),(6,1),(37,1),(38,1),(89,1)}
        18:{1,3,5,7}:{(6,1),(38,1),(39,1),(90,1),(182,1)}
        19:{3,4,6,7}:{(7,1),(23,1),(40,1),(41,1),(92,1),(187,1)}
        20:{1,3,5,6,7}:{(7,1),(24,1),(40,1),(42,1),(92,1),(138,1)}
        21:{2,5,6,7}:{(7,1),(41,1),(205,1)}
        22:{3,5,6,7}:{(8,1),(43,1),(44,1),(175,1)}
        23:{3,4,5,7}:{(11,1),(19,1),(46,1),(47,1),(102,1)}
        24:{1,3,5,7}:{(9,1),(12,1),(46,1),(48,1),(102,1),(174,1)}
        25:{1,2,4,6,7}:{(9,1),(13,1),(48,1),(49,1),(103,1)}
        26:{3,4,5,7}:{(15,1),(43,1),(50,1),(51,1),(106,1)}
        27:{2,3,5,7}:{(10,1),(16,1),(51,1),(52,1),(106,1),(195,1)}
        28:{1,2,4,6,7}:{(10,1),(17,1),(52,1),(53,1),(107,1)}
        29:{1,2,3,5,7}:{(14,1),(18,1),(54,1),(55,1),(114,1)}
        30:{1,4,5,6}:{(11,1),(12,1),(46,1),(120,1),(165,1)}
        31:{2,4,5,6}:{(11,1),(47,1),(56,1),(173,1),(202,1)}
        32:{1,2,5,6}:{(12,1),(13,1),(48,1),(58,1),(114,1)}
        33:{2,3,6}:{(13,1),(14,1),(200,1)}
        34:{2,3,4,7}:{(14,1),(55,1),(59,1),(103,1),(157,1)}
        35:{1,4,5,6}:{(15,1),(50,1),(60,1),(172,1),(201,1)}
        36:{2,4,5,6}:{(15,1),(16,1),(51,1),(117,1),(162,1)}
        37:{1,2,5,6}:{(16,1),(17,1),(52,1),(62,1),(114,1)}
        38:{1,3,6}:{(17,1),(18,1),(200,1)}
        39:{1,3,4,7}:{(18,1),(55,1),(63,1),(107,1),(157,1)}
        40:{1,4,6,7}:{(19,1),(20,1),(46,1),(165,1)}
        41:{2,4,6,7}:{(19,1),(21,1),(47,1),(64,1),(202,1)}
        42:{1,2,5,6,7}:{(20,1),(21,1),(48,1),(65,1),(66,1),(159,1),(174,1)}
        43:{3,4,6,7}:{(22,1),(26,1),(67,1),(68,1),(125,1),(185,1)}
        44:{1,5,6,7}:{(22,1),(67,1),(194,1)}
        45:{2,3,5,6,7}:{(22,1),(27,1),(68,1),(69,1),(125,1),(134,1)}
        46:{1,4,5,7}:{(23,1),(24,1),(30,1),(40,1)}
        47:{2,4,5,7}:{(23,1),(31,1),(41,1),(71,1)}
        48:{1,2,5,7}:{(24,1),(25,1),(32,1),(73,1)}
        49:{2,3,6,7}:{(25,1),(33,1),(73,1),(92,1)}
        50:{1,4,5,7}:{(26,1),(35,1),(67,1),(75,1)}
        51:{2,4,5,7}:{(26,1),(27,1),(36,1),(68,1)}
        52:{1,2,5,7}:{(27,1),(28,1),(37,1),(77,1)}
        53:{1,3,6,7}:{(28,1),(38,1),(77,1),(125,1)}
        54:{1,2,3,6}:{(29,1),(33,1),(38,1),(82,1)}
        55:{1,2,4,7}:{(29,1),(34,1),(39,1),(82,1)}
        56:{2,3,5,6}:{(31,1),(71,1),(80,1),(83,1),(84,1),(192,1),(207,1)}
        57:{1,2,4,5,6}:{(30,1),(31,1),(32,1),(72,1),(83,1),(84,1),(85,1),(144,1),(145,1),(151,1),(183,1),(194,1)}
        58:{2,3,5,6}:{(32,1),(33,1),(73,1),(84,1),(85,1),(86,1)}
        59:{2,3,4,6}:{(33,1),(34,1),(82,1),(85,1),(86,1),(143,1)}
        60:{1,3,5,6}:{(35,1),(75,1),(79,1),(87,1),(88,1),(193,1),(208,1)}
        61:{1,2,4,5,6}:{(35,1),(36,1),(37,1),(76,1),(87,1),(88,1),(89,1),(144,1),(147,1),(178,1),(183,1),(205,1)}
        62:{1,3,5,6}:{(37,1),(38,1),(77,1),(88,1),(89,1),(90,1)}
        63:{1,3,4,6}:{(38,1),(39,1),(82,1),(89,1),(90,1),(143,1)}
        64:{2,3,6,7}:{(41,1),(71,1),(91,1),(92,1),(207,1)}
        65:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(72,1),(91,1),(92,1),(93,1),(149,1),(183,1)}
        66:{2,3,5,6,7}:{(42,1),(73,1),(92,1),(93,1),(134,1),(150,1)}
        67:{1,4,6,7}:{(43,1),(44,1),(50,1),(94,1),(201,1)}
        68:{2,4,6,7}:{(43,1),(45,1),(51,1),(162,1)}
        69:{1,2,5,6,7}:{(44,1),(45,1),(52,1),(95,1),(96,1),(159,1),(195,1)}
        70:{1,2,3,6,7}:{(49,1),(53,1),(54,1),(99,1),(100,1),(121,1),(152,1),(200,1),(209,1)}
        71:{2,3,5,7}:{(47,1),(56,1),(64,1),(98,1),(101,1),(102,1)}
        72:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(57,1),(65,1),(101,1),(102,1),(103,1),(123,1),(160,1),(174,1)}
        73:{2,3,5,7}:{(48,1),(49,1),(58,1),(102,1),(103,1)}
        74:{2,3,4,6,7}:{(49,1),(59,1),(100,1),(103,1),(104,1),(122,1),(157,1),(162,1),(200,1)}
        75:{1,3,5,7}:{(50,1),(60,1),(94,1),(97,1),(105,1),(106,1)}
        76:{1,2,4,5,7}:{(50,1),(51,1),(52,1),(61,1),(95,1),(105,1),(106,1),(107,1),(154,1),(163,1),(195,1)}
        77:{1,3,5,7}:{(52,1),(53,1),(62,1),(106,1),(107,1)}
        78:{1,3,4,6,7}:{(53,1),(63,1),(100,1),(107,1),(108,1),(153,1),(157,1),(165,1),(200,1)}
        79:{1,3,4,6}:{(60,1),(97,1),(109,1),(111,1),(119,1)}
        80:{2,3,4,6}:{(56,1),(98,1),(110,1),(112,1),(116,1)}
        81:{1,2,3,5,6}:{(54,1),(58,1),(62,1),(99,1),(113,1),(114,1),(115,1),(118,1),(159,1),(168,1),(171,1),(200,1),(204,1),(209,1)}
        82:{1,2,4,6}:{(54,1),(55,1),(59,1),(63,1),(114,1)}
        83:{1,2,5,6}:{(56,1),(101,1),(112,1),(115,1),(204,1),(209,1)}
        84:{3,5,6}:{(57,1),(102,1),(116,1),(171,1),(200,1)}
        85:{2,4,6}:{(58,1),(103,1),(116,1),(117,1)}
        86:{2,3,5}:{(59,1),(114,1),(117,1),(171,1)}
        87:{1,2,5,6}:{(60,1),(105,1),(111,1),(118,1),(204,1),(209,1)}
        88:{3,5,6}:{(61,1),(106,1),(119,1),(171,1),(200,1)}
        89:{1,4,6}:{(62,1),(107,1),(119,1),(120,1)}
        90:{1,3,5}:{(63,1),(114,1),(120,1),(171,1)}
        91:{1,2,6,7}:{(64,1),(101,1),(121,1),(209,1)}
        92:{3,6,7}:{(65,1),(102,1),(200,1)}
        93:{2,4,6,7}:{(66,1),(103,1),(122,1),(123,1),(162,1)}
        94:{1,3,6,7}:{(67,1),(75,1),(124,1),(125,1),(208,1)}
        95:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(76,1),(124,1),(125,1),(126,1),(176,1),(183,1)}
        96:{1,3,5,6,7}:{(69,1),(77,1),(125,1),(126,1),(138,1),(177,1)}
        97:{1,3,4,7}:{(75,1),(79,1),(127,1),(136,1)}
        98:{2,3,4,7}:{(71,1),(80,1),(128,1),(132,1)}
        99:{1,2,3,5,7}:{(70,1),(73,1),(77,1),(81,1),(129,1),(130,1),(131,1),(135,1),(179,1),(182,1),(206,1)}
       100:{1,2,4,6,7}:{(70,1),(74,1),(78,1),(82,1),(129,1),(130,1),(149,1),(176,1),(183,1)}
       101:{1,2,5,7}:{(71,1),(83,1),(91,1),(128,1),(131,1)}
       102:{3,5,7}:{(72,1),(84,1),(92,1),(132,1)}
       103:{2,4,7}:{(73,1),(85,1),(132,1)}
       104:{2,3,5,7}:{(74,1),(86,1),(130,1),(133,1),(134,1),(150,1),(182,1)}
       105:{1,2,5,7}:{(75,1),(87,1),(124,1),(127,1),(135,1)}
       106:{3,5,7}:{(76,1),(88,1),(125,1),(136,1)}
       107:{1,4,7}:{(77,1),(89,1),(136,1)}
       108:{1,3,5,7}:{(78,1),(90,1),(130,1),(137,1),(138,1),(177,1),(182,1)}
       109:{1,3,4,5}:{(79,1),(139,1),(148,1),(190,1),(193,1)}
       110:{2,3,4,5}:{(80,1),(140,1),(146,1),(189,1),(192,1)}
       111:{1,2,4,6}:{(79,1),(87,1),(127,1),(139,1),(141,1),(147,1)}
       112:{1,2,4,6}:{(80,1),(83,1),(128,1),(140,1),(142,1),(145,1)}
       113:{1,2,4,6}:{(81,1),(85,1),(89,1),(129,1),(143,1),(144,1),(145,1),(147,1)}
       114:{1,2,5}:{(82,1),(86,1),(90,1)}
       115:{1,3,5,6}:{(83,1),(84,1),(131,1),(142,1),(145,1),(193,1),(194,1),(208,1)}
       116:{3,4,6}:{(84,1),(85,1),(132,1),(145,1),(146,1)}
       117:{2,4,5}:{(85,1),(86,1),(146,1)}
       118:{2,3,5,6}:{(87,1),(88,1),(135,1),(141,1),(147,1),(192,1),(205,1),(207,1)}
       119:{3,4,6}:{(88,1),(89,1),(136,1),(147,1),(148,1)}
       120:{1,4,5}:{(89,1),(90,1),(148,1)}
       121:{1,3,6,7}:{(91,1),(92,1),(131,1),(149,1),(208,1)}
       122:{3,4,6,7}:{(92,1),(93,1),(132,1),(149,1),(150,1),(185,1)}
       123:{2,4,5,7}:{(93,1),(150,1),(151,1)}
       124:{1,2,6,7}:{(94,1),(105,1),(152,1),(209,1)}
       125:{3,6,7}:{(95,1),(106,1),(200,1)}
       126:{1,4,6,7}:{(96,1),(107,1),(153,1),(154,1),(165,1)}
       127:{1,2,4,7}:{(97,1),(105,1),(111,1),(155,1),(163,1)}
       128:{1,2,4,7}:{(98,1),(101,1),(112,1),(156,1),(160,1)}
       129:{1,2,4,7}:{(99,1),(103,1),(107,1),(113,1),(157,1),(160,1),(163,1)}
       130:{1,2,5,7}:{(100,1),(104,1),(108,1),(114,1),(159,1),(174,1),(195,1)}
       131:{1,3,5,7}:{(101,1),(102,1),(115,1),(121,1),(156,1),(160,1),(174,1)}
       132:{3,4,7}:{(102,1),(103,1),(116,1),(160,1)}
       133:{2,4,5,7}:{(103,1),(104,1),(117,1),(161,1),(162,1)}
       134:{2,3,5,6}:{(104,1),(159,1),(162,1),(175,1),(200,1)}
       135:{2,3,5,7}:{(105,1),(106,1),(118,1),(152,1),(155,1),(163,1),(195,1)}
       136:{3,4,7}:{(106,1),(107,1),(119,1),(163,1)}
       137:{1,4,5,7}:{(107,1),(108,1),(120,1),(164,1),(165,1)}
       138:{1,3,5,6}:{(108,1),(159,1),(165,1),(196,1),(200,1)}
       139:{1,2,4,5}:{(109,1),(111,1),(166,1),(173,1),(203,1),(204,1)}
       140:{1,2,4,5}:{(110,1),(112,1),(167,1),(172,1),(203,1),(204,1)}
       141:{2,3,6}:{(111,1),(155,1),(166,1)}
       142:{1,3,6}:{(112,1),(156,1),(167,1)}
       143:{3,4,6}:{(113,1),(157,1),(171,1),(200,1)}
       144:{1,2,4,5}:{(113,1),(114,1),(117,1),(120,1),(171,1),(172,1),(173,1),(204,1)}
       145:{1,4,6}:{(115,1),(116,1),(160,1),(172,1)}
       146:{3,4,5}:{(116,1),(117,1),(171,1),(172,1)}
       147:{2,4,6}:{(118,1),(119,1),(163,1),(173,1)}
       148:{3,4,5}:{(119,1),(120,1),(171,1),(173,1)}
       149:{1,4,6,7}:{(121,1),(122,1),(160,1),(174,1),(201,1)}
       150:{3,5,7}:{(122,1),(123,1),(174,1),(175,1)}
       151:{2,4,5,6}:{(123,1),(162,1),(175,1)}
       152:{2,3,6,7}:{(124,1),(125,1),(135,1),(176,1),(207,1)}
       153:{3,4,6,7}:{(125,1),(126,1),(136,1),(176,1),(177,1),(187,1)}
       154:{1,4,5,7}:{(126,1),(177,1),(178,1)}
       155:{2,3,7}:{(127,1),(141,1)}
       156:{1,3,7}:{(128,1),(142,1)}
       157:{3,4,7}:{(129,1),(143,1),(182,1)}
       158:{1,2,4,5,7}:{(129,1),(130,1),(133,1),(137,1),(144,1),(182,1),(183,1),(184,1),(186,1),(206,1)}
       159:{1,2,5,6}:{(130,1),(134,1),(138,1),(183,1),(194,1),(205,1)}
       160:{1,4,7}:{(131,1),(132,1),(145,1)}
       161:{3,4,5,7}:{(132,1),(133,1),(146,1),(150,1),(182,1),(184,1),(185,1)}
       162:{2,4,6}:{(133,1),(134,1),(185,1)}
       163:{2,4,7}:{(135,1),(136,1),(147,1)}
       164:{3,4,5,7}:{(136,1),(137,1),(148,1),(177,1),(182,1),(186,1),(187,1)}
       165:{1,4,6}:{(137,1),(138,1),(187,1)}
       166:{2,3,5}:{(139,1),(141,1),(189,1)}
       167:{1,3,5}:{(140,1),(142,1),(190,1)}
       168:{1,2,3,6}:{(141,1),(142,1),(179,1),(188,1),(191,1)}
       169:{2,3,4,6}:{(141,1),(143,1),(147,1),(180,1),(189,1),(191,1),(192,1),(207,1)}
       170:{1,3,4,6}:{(142,1),(143,1),(145,1),(181,1),(190,1),(191,1),(193,1),(208,1)}
       171:{3,5}:{(143,1),(144,1)}
       172:{1,4,5}:{(145,1),(146,1),(193,1)}
       173:{2,4,5}:{(147,1),(148,1),(192,1)}
       174:{1,5,7}:{(149,1),(150,1),(194,1)}
       175:{3,5,6}:{(150,1),(151,1),(185,1),(194,1)}
       176:{2,4,6,7}:{(152,1),(153,1),(163,1),(195,1),(202,1)}
       177:{3,5,7}:{(153,1),(154,1),(195,1),(196,1)}
       178:{1,4,5,6}:{(154,1),(165,1),(196,1)}
       179:{1,2,3,7}:{(155,1),(156,1),(168,1),(197,1)}
       180:{2,3,4,7}:{(155,1),(157,1),(163,1),(169,1),(197,1),(198,1)}
       181:{1,3,4,7}:{(156,1),(157,1),(160,1),(170,1),(197,1),(199,1)}
       182:{3,5,7}:{(157,1),(158,1),(171,1),(200,1)}
       183:{1,2,4,6}:{(158,1),(159,1),(162,1),(165,1),(200,1),(201,1),(202,1),(209,1)}
       184:{1,4,5,7}:{(160,1),(161,1),(172,1),(174,1),(199,1),(201,1)}
       185:{3,4,6}:{(161,1),(162,1),(175,1),(200,1),(201,1)}
       186:{2,4,5,7}:{(163,1),(164,1),(173,1),(195,1),(198,1),(202,1)}
       187:{3,4,6}:{(164,1),(165,1),(196,1),(200,1),(202,1)}
       188:{1,2,3,5}:{(166,1),(167,1),(168,1),(203,1),(204,1)}
       189:{2,3,4}:{(166,1),(203,1)}
       190:{1,3,4}:{(167,1),(203,1)}
       191:{1,2,4,6}:{(168,1),(169,1),(170,1),(197,1),(203,1),(204,1),(209,1)}
       192:{2,3,5}:{(169,1),(171,1),(173,1),(204,1)}
       193:{1,3,5}:{(170,1),(171,1),(172,1),(204,1)}
       194:{1,5,6}:{(174,1),(175,1),(201,1)}
       195:{2,5,7}:{(176,1),(177,1),(205,1)}
       196:{3,5,6}:{(177,1),(178,1),(187,1),(205,1)}
       197:{1,2,4,7}:{(179,1),(180,1),(181,1),(191,1),(206,1)}
       198:{2,3,5,7}:{(180,1),(182,1),(186,1),(192,1),(206,1),(207,1)}
       199:{1,3,5,7}:{(181,1),(182,1),(184,1),(193,1),(206,1),(208,1)}
       200:{3,6}:{(182,1),(183,1)}
       201:{1,4,6}:{(184,1),(185,1),(194,1),(208,1)}
       202:{2,4,6}:{(186,1),(187,1),(205,1),(207,1)}
       203:{1,2,4}:{(188,1),(189,1),(190,1)}
       204:{1,2,5}:{(191,1),(192,1),(193,1)}
       205:{2,5,6}:{(195,1),(196,1),(202,1)}
       206:{1,2,5,7}:{(197,1),(198,1),(199,1),(204,1),(209,1)}
       207:{2,3,6}:{(198,1),(200,1),(202,1),(209,1)}
       208:{1,3,6}:{(199,1),(200,1),(201,1),(209,1)}
       209:{1,2,6}:{(206,1),(207,1),(208,1)}

1941 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(34,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(43,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(33,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(8,1),(20,1),(38,1),(39,1),(43,1),(45,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(20,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(29,1),(30,1),(33,1)}
        8:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(14,1),(47,1),(48,1)}
        9:{3,4,6}:{(5,1),(6,1),(13,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(31,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(32,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(40,1),(41,1),(43,1)}
       13:{3,5,6}:{(7,1),(9,1),(20,1)}
       14:{3,4,6,7}:{(8,1),(9,1),(20,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(21,1),(25,1),(57,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(22,1),(25,1),(57,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(43,1),(58,1),(59,1)}
       18:{1,2,4,5,6,7}:{(12,1),(27,1),(47,1),(48,1),(49,1)}
       19:{3,4,5,6}:{(13,1),(28,1),(29,1),(30,1),(51,1)}
       20:{3,5,7}:{(12,1),(13,1),(14,1)}
       21:{1,3,5,6}:{(13,1),(15,1),(29,1),(31,1),(33,1),(51,1)}
       22:{2,3,5,6}:{(13,1),(16,1),(30,1),(32,1),(33,1),(51,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(31,1),(34,1),(47,1),(60,1),(61,1)}
       24:{2,3,4,6,7}:{(14,1),(16,1),(32,1),(34,1),(48,1),(60,1),(61,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(33,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,5,6,7}:{(18,1),(20,1),(37,1)}
       28:{3,4,5,7}:{(19,1),(20,1),(37,1),(40,1),(41,1),(56,1)}
       29:{1,4,5,6}:{(19,1),(21,1),(40,1)}
       30:{2,4,5,6}:{(19,1),(22,1),(41,1)}
       31:{1,3,5,7}:{(20,1),(21,1),(23,1),(40,1),(43,1),(56,1)}
       32:{2,3,5,7}:{(20,1),(22,1),(24,1),(41,1),(43,1),(56,1)}
       33:{1,2,5,6}:{(21,1),(22,1),(25,1),(43,1)}
       34:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(43,1),(45,1),(58,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(58,1)}
       37:{3,4,6,7}:{(27,1),(28,1),(47,1),(48,1),(60,1)}
       38:{1,3,5,6,7}:{(27,1),(31,1),(47,1),(49,1),(60,1)}
       39:{2,3,5,6,7}:{(27,1),(32,1),(48,1),(49,1),(60,1)}
       40:{1,4,5,7}:{(28,1),(29,1),(31,1),(47,1)}
       41:{2,4,5,7}:{(28,1),(30,1),(32,1),(48,1)}
       42:{1,2,4,5,6}:{(29,1),(30,1),(33,1),(50,1),(51,1),(53,1)}
       43:{1,2,5,7}:{(31,1),(32,1),(33,1),(34,1)}
       44:{1,2,3,5,6}:{(33,1),(35,1),(51,1),(52,1),(53,1),(54,1)}
       45:{1,2,3,6,7}:{(34,1),(35,1),(52,1),(60,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(40,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(41,1)}
       49:{1,2,5,6,7}:{(38,1),(39,1),(43,1),(55,1)}
       50:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(43,1),(55,1),(56,1),(58,1)}
       51:{3,5,6}:{(42,1),(56,1),(57,1)}
       52:{1,2,3,5,7}:{(43,1),(44,1),(45,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(44,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(50,1),(60,1)}
       56:{3,5,7}:{(50,1),(51,1),(60,1),(61,1)}
       57:{3,4,6}:{(51,1),(53,1),(61,1),(62,1)}
       58:{1,2,4,7}:{(52,1),(53,1),(61,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(57,1),(59,1)}

1942 :   0:{2,3,4,5,7}:{(2,1),(3,1),(18,1),(25,1),(72,1),(116,1),(119,1),(124,1),(169,1),(176,1)}
         1:{1,3,4,5,7}:{(4,1),(5,1),(19,1),(24,1),(64,1),(115,1),(125,1),(128,1),(169,1),(181,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(34,1),(37,1),(85,1),(88,1),(91,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(92,1),(154,1),(188,1),(194,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(34,1),(44,1),(85,1),(96,1),(99,1)}
         5:{1,3,4,6}:{(1,1),(12,1),(13,1),(100,1),(146,1),(188,1),(197,1)}
         6:{2,3,4,6,7}:{(3,1),(17,1),(18,1),(55,1),(108,1),(116,1),(166,1)}
         7:{1,3,5,7}:{(2,1),(19,1),(20,1),(64,1),(169,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(20,1),(21,1),(65,1)}
         9:{2,3,5,6}:{(3,1),(18,1),(21,1),(22,1),(66,1),(72,1),(200,1)}
        10:{1,3,4,6,7}:{(5,1),(23,1),(24,1),(30,1),(77,1),(125,1),(134,1)}
        11:{2,3,5,7}:{(4,1),(25,1),(26,1),(72,1),(169,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(26,1),(27,1),(73,1)}
        13:{1,3,5,6}:{(5,1),(24,1),(27,1),(28,1),(64,1),(74,1),(185,1)}
        14:{1,3,5,6,7}:{(24,1),(29,1),(30,1),(31,1),(77,1),(114,1)}
        15:{1,4,5,6,7}:{(30,1),(31,1),(164,1)}
        16:{1,2,3,5,7}:{(7,1),(11,1),(34,1),(35,1),(85,1)}
        17:{1,2,4,6,7}:{(6,1),(8,1),(36,1),(37,1),(88,1)}
        18:{2,3,5,7}:{(6,1),(9,1),(37,1),(38,1),(89,1),(187,1)}
        19:{1,3,4,7}:{(7,1),(34,1),(39,1),(88,1),(142,1)}
        20:{1,3,6}:{(7,1),(8,1),(188,1)}
        21:{1,2,5,6}:{(8,1),(9,1),(37,1),(40,1),(85,1)}
        22:{2,4,5,6}:{(9,1),(38,1),(42,1),(99,1),(154,1)}
        23:{1,2,4,6,7}:{(10,1),(12,1),(43,1),(44,1),(96,1)}
        24:{1,3,5,7}:{(10,1),(13,1),(44,1),(45,1),(97,1),(163,1)}
        25:{2,3,4,7}:{(11,1),(34,1),(46,1),(96,1),(142,1)}
        26:{2,3,6}:{(11,1),(12,1),(188,1)}
        27:{1,2,5,6}:{(12,1),(13,1),(44,1),(47,1),(85,1)}
        28:{1,4,5,6}:{(13,1),(45,1),(49,1),(91,1),(146,1)}
        29:{1,2,5,6,7}:{(14,1),(44,1),(50,1),(51,1),(53,1),(140,1),(163,1)}
        30:{1,4,6,7}:{(14,1),(45,1),(52,1),(146,1)}
        31:{3,5,6,7}:{(15,1),(52,1),(53,1),(186,1)}
        32:{2,3,5,6,7}:{(18,1),(54,1),(55,1),(56,1),(108,1),(123,1)}
        33:{2,4,5,6,7}:{(55,1),(56,1),(132,1)}
        34:{1,2,4,7}:{(16,1),(19,1),(25,1),(58,1)}
        35:{1,2,3,6}:{(16,1),(20,1),(26,1),(58,1)}
        36:{1,3,6,7}:{(17,1),(20,1),(61,1),(108,1)}
        37:{1,2,5,7}:{(17,1),(18,1),(21,1),(61,1)}
        38:{2,4,5,7}:{(18,1),(22,1),(55,1),(63,1)}
        39:{1,3,4,6}:{(19,1),(20,1),(58,1),(64,1),(65,1),(113,1)}
        40:{1,3,5,6}:{(20,1),(21,1),(61,1),(64,1),(65,1),(66,1)}
        41:{1,2,4,5,6}:{(21,1),(22,1),(62,1),(65,1),(66,1),(67,1),(112,1),(121,1),(122,1),(164,1),(168,1),(200,1)}
        42:{3,4,5,6}:{(22,1),(63,1),(66,1),(67,1),(128,1),(180,1)}
        43:{2,3,6,7}:{(23,1),(26,1),(69,1),(77,1)}
        44:{1,2,5,7}:{(23,1),(24,1),(27,1),(69,1)}
        45:{1,4,5,7}:{(24,1),(28,1),(30,1),(71,1)}
        46:{2,3,4,6}:{(25,1),(26,1),(58,1),(72,1),(73,1),(113,1)}
        47:{2,3,5,6}:{(26,1),(27,1),(69,1),(72,1),(73,1),(74,1)}
        48:{1,2,4,5,6}:{(27,1),(28,1),(70,1),(73,1),(74,1),(75,1),(112,1),(129,1),(131,1),(132,1),(168,1),(185,1)}
        49:{3,4,5,6}:{(28,1),(71,1),(74,1),(75,1),(119,1),(175,1)}
        50:{2,3,5,6,7}:{(29,1),(69,1),(76,1),(77,1),(123,1),(133,1)}
        51:{1,2,4,6,7}:{(29,1),(30,1),(70,1),(76,1),(77,1),(78,1),(134,1),(135,1),(168,1)}
        52:{3,4,6,7}:{(30,1),(31,1),(71,1),(77,1),(78,1),(175,1)}
        53:{2,5,6,7}:{(31,1),(78,1),(200,1)}
        54:{1,2,5,6,7}:{(32,1),(37,1),(79,1),(80,1),(82,1),(140,1),(187,1)}
        55:{2,4,6,7}:{(32,1),(38,1),(81,1),(154,1)}
        56:{3,5,6,7}:{(33,1),(81,1),(82,1),(162,1)}
        57:{1,2,3,6,7}:{(35,1),(36,1),(43,1),(83,1),(84,1),(105,1),(139,1),(188,1),(208,1)}
        58:{1,2,4,6}:{(34,1),(35,1),(39,1),(46,1),(85,1)}
        59:{1,2,3,5,6}:{(35,1),(40,1),(47,1),(84,1),(85,1),(86,1),(94,1),(101,1),(140,1),(143,1),(188,1),(192,1),(193,1),(208,1)}
        60:{1,3,4,6,7}:{(36,1),(39,1),(83,1),(87,1),(88,1),(137,1),(142,1),(146,1),(188,1)}
        61:{1,3,5,7}:{(36,1),(37,1),(40,1),(88,1),(89,1)}
        62:{1,2,4,5,7}:{(37,1),(38,1),(41,1),(80,1),(88,1),(89,1),(90,1),(136,1),(149,1),(150,1),(187,1)}
        63:{3,4,5,7}:{(38,1),(42,1),(81,1),(89,1),(90,1)}
        64:{1,3,5}:{(39,1),(85,1),(91,1),(143,1)}
        65:{1,4,6}:{(40,1),(88,1),(91,1),(92,1)}
        66:{3,5,6}:{(41,1),(89,1),(92,1),(143,1),(188,1)}
        67:{1,4,5,6}:{(42,1),(90,1),(93,1),(159,1),(197,1)}
        68:{2,3,4,6,7}:{(43,1),(46,1),(83,1),(95,1),(96,1),(104,1),(142,1),(154,1),(188,1)}
        69:{2,3,5,7}:{(43,1),(44,1),(47,1),(96,1),(97,1)}
        70:{1,2,4,5,7}:{(44,1),(45,1),(48,1),(51,1),(96,1),(97,1),(98,1),(103,1),(156,1),(158,1),(163,1)}
        71:{3,4,5,7}:{(45,1),(49,1),(52,1),(97,1),(98,1)}
        72:{2,3,5}:{(46,1),(85,1),(99,1),(143,1)}
        73:{2,4,6}:{(47,1),(96,1),(99,1),(100,1)}
        74:{3,5,6}:{(48,1),(97,1),(100,1),(143,1),(188,1)}
        75:{2,4,5,6}:{(49,1),(98,1),(102,1),(152,1),(194,1)}
        76:{2,4,6,7}:{(50,1),(96,1),(103,1),(104,1),(154,1)}
        77:{3,6,7}:{(51,1),(97,1),(188,1)}
        78:{2,4,6,7}:{(52,1),(53,1),(98,1),(106,1),(194,1)}
        79:{1,3,5,6,7}:{(54,1),(61,1),(107,1),(108,1),(114,1),(165,1)}
        80:{1,2,4,6,7}:{(54,1),(55,1),(62,1),(107,1),(108,1),(109,1),(166,1),(167,1),(168,1)}
        81:{3,4,6,7}:{(55,1),(56,1),(63,1),(108,1),(109,1),(180,1)}
        82:{1,5,6,7}:{(56,1),(109,1),(185,1)}
        83:{1,2,4,6,7}:{(57,1),(58,1),(60,1),(68,1),(110,1),(111,1),(134,1),(166,1),(168,1)}
        84:{1,2,3,5,7}:{(57,1),(59,1),(61,1),(69,1),(110,1),(111,1),(118,1),(126,1),(169,1),(203,1),(204,1)}
        85:{1,2,5}:{(58,1),(64,1),(72,1)}
        86:{1,2,4,6}:{(59,1),(65,1),(73,1),(111,1),(112,1),(113,1),(121,1),(129,1)}
        87:{1,3,5,7}:{(60,1),(64,1),(110,1),(114,1),(115,1),(165,1),(169,1)}
        88:{1,4,7}:{(61,1),(65,1),(116,1)}
        89:{3,5,7}:{(62,1),(66,1),(108,1),(116,1)}
        90:{1,4,5,7}:{(63,1),(67,1),(109,1),(117,1)}
        91:{1,4,5}:{(64,1),(65,1),(119,1)}
        92:{3,4,6}:{(65,1),(66,1),(116,1),(119,1),(121,1)}
        93:{1,3,5,6}:{(66,1),(67,1),(117,1),(120,1),(122,1),(172,1),(201,1)}
        94:{2,3,5,6}:{(66,1),(118,1),(121,1),(122,1),(173,1),(179,1),(200,1),(202,1)}
        95:{2,3,5,7}:{(68,1),(72,1),(110,1),(123,1),(124,1),(133,1),(169,1)}
        96:{2,4,7}:{(69,1),(73,1),(125,1)}
        97:{3,5,7}:{(70,1),(74,1),(77,1),(125,1)}
        98:{2,4,5,7}:{(71,1),(75,1),(78,1),(127,1)}
        99:{2,4,5}:{(72,1),(73,1),(128,1)}
       100:{3,4,6}:{(73,1),(74,1),(125,1),(128,1),(129,1)}
       101:{1,3,5,6}:{(74,1),(126,1),(129,1),(131,1),(172,1),(184,1),(185,1),(201,1)}
       102:{2,3,5,6}:{(74,1),(75,1),(127,1),(130,1),(131,1),(173,1),(202,1)}
       103:{2,4,5,7}:{(76,1),(132,1),(133,1)}
       104:{3,4,6,7}:{(76,1),(77,1),(125,1),(133,1),(134,1),(180,1)}
       105:{1,3,6,7}:{(77,1),(126,1),(134,1),(135,1),(201,1)}
       106:{2,3,6,7}:{(77,1),(78,1),(127,1),(135,1),(202,1)}
       107:{1,4,6,7}:{(79,1),(88,1),(136,1),(137,1),(146,1)}
       108:{3,6,7}:{(80,1),(89,1),(188,1)}
       109:{1,4,6,7}:{(81,1),(82,1),(90,1),(138,1),(197,1)}
       110:{1,2,5,7}:{(83,1),(85,1),(87,1),(95,1),(140,1),(163,1),(187,1)}
       111:{1,2,4,7}:{(84,1),(86,1),(88,1),(96,1),(142,1),(149,1),(156,1)}
       112:{1,2,4,5}:{(85,1),(86,1),(91,1),(99,1),(143,1),(152,1),(159,1),(192,1)}
       113:{3,4,6}:{(86,1),(142,1),(143,1),(188,1)}
       114:{1,3,5,6}:{(87,1),(140,1),(146,1),(186,1),(188,1)}
       115:{1,4,5,7}:{(87,1),(88,1),(91,1),(146,1),(147,1)}
       116:{3,4,7}:{(88,1),(89,1),(92,1),(149,1)}
       117:{1,3,5,7}:{(89,1),(90,1),(93,1),(138,1),(148,1),(150,1)}
       118:{2,3,5,7}:{(89,1),(94,1),(139,1),(149,1),(150,1),(187,1),(195,1)}
       119:{3,4,5}:{(91,1),(92,1),(143,1),(152,1)}
       120:{1,3,4,6}:{(92,1),(93,1),(148,1),(151,1),(153,1)}
       121:{2,4,6}:{(92,1),(94,1),(149,1),(152,1)}
       122:{1,2,5,6}:{(93,1),(94,1),(150,1),(153,1),(192,1),(208,1)}
       123:{2,3,5,6}:{(95,1),(140,1),(154,1),(162,1),(188,1)}
       124:{2,4,5,7}:{(95,1),(96,1),(99,1),(154,1),(155,1)}
       125:{3,4,7}:{(96,1),(97,1),(100,1),(156,1)}
       126:{1,3,5,7}:{(97,1),(101,1),(105,1),(156,1),(158,1),(163,1),(198,1)}
       127:{2,3,5,7}:{(97,1),(98,1),(102,1),(106,1),(157,1),(158,1)}
       128:{3,4,5}:{(99,1),(100,1),(143,1),(159,1)}
       129:{1,4,6}:{(100,1),(101,1),(156,1),(159,1)}
       130:{2,3,4,6}:{(100,1),(102,1),(157,1),(160,1),(161,1)}
       131:{1,2,5,6}:{(101,1),(102,1),(158,1),(161,1),(192,1),(208,1)}
       132:{2,4,5,6}:{(103,1),(154,1),(162,1)}
       133:{3,5,7}:{(103,1),(104,1),(162,1),(163,1)}
       134:{1,4,6,7}:{(104,1),(105,1),(156,1),(163,1),(197,1)}
       135:{1,2,6,7}:{(105,1),(106,1),(158,1),(208,1)}
       136:{1,4,5,7}:{(107,1),(164,1),(165,1)}
       137:{3,4,6,7}:{(107,1),(108,1),(116,1),(165,1),(166,1),(175,1)}
       138:{1,3,6,7}:{(108,1),(109,1),(117,1),(167,1),(201,1)}
       139:{2,3,6,7}:{(108,1),(118,1),(166,1),(167,1),(202,1)}
       140:{1,2,5,6}:{(110,1),(114,1),(123,1),(168,1),(185,1),(200,1)}
       141:{1,2,4,5,7}:{(110,1),(111,1),(112,1),(115,1),(124,1),(168,1),(169,1),(176,1),(181,1),(203,1)}
       142:{3,4,7}:{(111,1),(113,1),(169,1)}
       143:{3,5}:{(112,1),(113,1)}
       144:{1,3,4,6}:{(113,1),(129,1),(170,1),(172,1),(174,1),(184,1),(201,1),(207,1)}
       145:{2,3,4,6}:{(113,1),(121,1),(171,1),(173,1),(174,1),(179,1),(202,1),(206,1)}
       146:{1,4,6}:{(114,1),(115,1),(175,1)}
       147:{3,4,5,7}:{(115,1),(116,1),(119,1),(165,1),(169,1),(175,1),(176,1)}
       148:{1,3,4,7}:{(116,1),(117,1),(120,1),(177,1)}
       149:{2,4,7}:{(116,1),(118,1),(121,1)}
       150:{1,2,5,7}:{(117,1),(118,1),(122,1),(167,1),(177,1)}
       151:{1,3,4,5}:{(119,1),(120,1),(172,1),(178,1),(207,1)}
       152:{2,4,5}:{(119,1),(121,1),(173,1)}
       153:{1,2,4,6}:{(120,1),(121,1),(122,1),(177,1),(178,1),(179,1)}
       154:{2,4,6}:{(123,1),(124,1),(180,1)}
       155:{3,4,5,7}:{(124,1),(125,1),(128,1),(133,1),(169,1),(180,1),(181,1)}
       156:{1,4,7}:{(125,1),(126,1),(129,1)}
       157:{2,3,4,7}:{(125,1),(127,1),(130,1),(182,1)}
       158:{1,2,5,7}:{(126,1),(127,1),(131,1),(135,1),(182,1)}
       159:{1,4,5}:{(128,1),(129,1),(172,1)}
       160:{2,3,4,5}:{(128,1),(130,1),(173,1),(183,1),(206,1)}
       161:{1,2,4,6}:{(129,1),(130,1),(131,1),(182,1),(183,1),(184,1)}
       162:{3,5,6}:{(132,1),(133,1),(180,1),(185,1)}
       163:{1,5,7}:{(133,1),(134,1),(185,1)}
       164:{1,4,5,6}:{(136,1),(146,1),(186,1)}
       165:{3,5,7}:{(136,1),(137,1),(186,1),(187,1)}
       166:{2,4,6,7}:{(137,1),(139,1),(149,1),(187,1),(194,1)}
       167:{1,2,6,7}:{(138,1),(139,1),(150,1),(208,1)}
       168:{1,2,4,6}:{(140,1),(141,1),(146,1),(154,1),(188,1),(194,1),(197,1),(208,1)}
       169:{3,5,7}:{(141,1),(142,1),(143,1),(188,1)}
       170:{1,3,4,7}:{(142,1),(144,1),(156,1),(189,1),(191,1),(198,1)}
       171:{2,3,4,7}:{(142,1),(145,1),(149,1),(190,1),(191,1),(195,1)}
       172:{1,3,5}:{(143,1),(144,1),(159,1),(192,1)}
       173:{2,3,5}:{(143,1),(145,1),(152,1),(192,1)}
       174:{1,2,4,6}:{(144,1),(145,1),(191,1),(192,1),(193,1),(208,1),(209,1)}
       175:{3,4,6}:{(146,1),(147,1),(186,1),(188,1),(194,1)}
       176:{2,4,5,7}:{(147,1),(149,1),(152,1),(187,1),(190,1),(194,1)}
       177:{1,2,4,7}:{(148,1),(149,1),(150,1),(153,1),(195,1)}
       178:{1,2,4,5}:{(151,1),(152,1),(153,1),(192,1),(196,1),(209,1)}
       179:{2,3,6}:{(153,1),(195,1),(196,1)}
       180:{3,4,6}:{(154,1),(155,1),(162,1),(188,1),(197,1)}
       181:{1,4,5,7}:{(155,1),(156,1),(159,1),(163,1),(189,1),(197,1)}
       182:{1,2,4,7}:{(156,1),(157,1),(158,1),(161,1),(198,1)}
       183:{1,2,4,5}:{(159,1),(160,1),(161,1),(192,1),(199,1),(209,1)}
       184:{1,3,6}:{(161,1),(198,1),(199,1)}
       185:{1,5,6}:{(162,1),(163,1),(197,1)}
       186:{3,5,6}:{(164,1),(165,1),(175,1),(200,1)}
       187:{2,5,7}:{(165,1),(166,1),(200,1)}
       188:{3,6}:{(168,1),(169,1)}
       189:{1,3,5,7}:{(169,1),(170,1),(172,1),(181,1),(201,1),(203,1)}
       190:{2,3,5,7}:{(169,1),(171,1),(173,1),(176,1),(202,1),(203,1)}
       191:{1,2,4,7}:{(170,1),(171,1),(174,1),(203,1),(204,1)}
       192:{1,2,5}:{(172,1),(173,1),(174,1)}
       193:{1,2,3,6}:{(174,1),(179,1),(184,1),(204,1),(205,1)}
       194:{2,4,6}:{(175,1),(176,1),(200,1),(202,1)}
       195:{2,3,7}:{(177,1),(179,1)}
       196:{2,3,5}:{(178,1),(179,1),(206,1)}
       197:{1,4,6}:{(180,1),(181,1),(185,1),(201,1)}
       198:{1,3,7}:{(182,1),(184,1)}
       199:{1,3,5}:{(183,1),(184,1),(207,1)}
       200:{2,5,6}:{(186,1),(187,1),(194,1)}
       201:{1,3,6}:{(188,1),(189,1),(197,1),(208,1)}
       202:{2,3,6}:{(188,1),(190,1),(194,1),(208,1)}
       203:{1,2,5,7}:{(189,1),(190,1),(191,1),(192,1),(208,1)}
       204:{1,2,3,7}:{(191,1),(193,1),(195,1),(198,1)}
       205:{1,2,3,5}:{(192,1),(193,1),(196,1),(199,1),(209,1)}
       206:{2,3,4}:{(196,1),(209,1)}
       207:{1,3,4}:{(199,1),(209,1)}
       208:{1,2,6}:{(201,1),(202,1),(203,1)}
       209:{1,2,4}:{(205,1),(206,1),(207,1)}

1943 :   0:{1,2,3,6,7}:{(3,1),(4,1),(40,1),(52,1),(85,1),(86,1),(87,1),(104,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(15,1),(19,1),(41,1),(52,1),(55,1),(86,1),(99,1),(104,1)}
         2:{1,3,4,6,7}:{(4,1),(6,1),(15,1),(22,1),(42,1),(52,1),(57,1),(87,1),(100,1),(104,1)}
         3:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(28,1),(31,1),(58,1),(69,1),(94,1),(95,1)}
         4:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(32,1),(60,1),(73,1),(74,1),(96,1),(103,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(10,1),(11,1),(31,1),(61,1),(66,1)}
         6:{1,3,5,7}:{(2,1),(9,1),(12,1),(13,1),(31,1),(62,1),(68,1)}
         7:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(40,1),(43,1),(52,1),(79,1),(80,1),(81,1),(85,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(75,1),(99,1),(100,1)}
         9:{1,2,5,7}:{(4,1),(5,1),(6,1),(17,1),(79,1),(83,1),(84,1)}
        10:{2,4,5,7}:{(5,1),(18,1),(19,1),(76,1),(99,1)}
        11:{2,3,5,6}:{(5,1),(17,1),(19,1),(45,1),(52,1)}
        12:{1,4,5,7}:{(6,1),(21,1),(22,1),(77,1),(100,1)}
        13:{1,3,5,6}:{(6,1),(17,1),(22,1),(47,1),(52,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(90,1),(91,1)}
        15:{3,4,7}:{(8,1),(24,1),(31,1),(88,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(12,1),(25,1),(31,1),(32,1),(34,1),(37,1),(69,1),(89,1),(103,1)}
        17:{1,2,5,6}:{(9,1),(11,1),(13,1),(32,1),(65,1),(67,1)}
        18:{3,4,5,7}:{(10,1),(31,1),(34,1),(35,1),(59,1),(66,1),(92,1)}
        19:{2,4,6}:{(10,1),(11,1),(35,1)}
        20:{2,3,5,6,7}:{(11,1),(33,1),(36,1),(66,1),(72,1),(94,1)}
        21:{3,4,5,7}:{(12,1),(31,1),(37,1),(38,1),(59,1),(68,1),(92,1)}
        22:{1,4,6}:{(12,1),(13,1),(38,1)}
        23:{1,3,5,6,7}:{(13,1),(33,1),(39,1),(68,1),(72,1),(95,1)}
        24:{3,4,6}:{(14,1),(15,1),(43,1),(52,1)}
        25:{1,2,4,5}:{(14,1),(43,1),(76,1),(77,1),(79,1)}
        26:{2,4,5,6}:{(19,1),(45,1),(46,1)}
        27:{1,4,5,6}:{(22,1),(47,1),(48,1)}
        28:{1,2,3,7}:{(40,1),(49,1),(104,1)}
        29:{2,3,4,7}:{(15,1),(41,1),(49,1),(50,1),(99,1),(104,1)}
        30:{1,3,4,7}:{(15,1),(42,1),(49,1),(51,1),(100,1),(104,1)}
        31:{3,5,7}:{(15,1),(16,1),(43,1),(52,1),(97,1),(104,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(19,1),(22,1),(52,1),(54,1),(56,1),(85,1)}
        33:{1,2,5,6,7}:{(17,1),(20,1),(23,1),(53,1),(83,1),(84,1),(101,1)}
        34:{1,4,5,7}:{(18,1),(51,1),(54,1),(77,1),(83,1),(100,1)}
        35:{3,4,6}:{(18,1),(19,1),(45,1),(52,1),(54,1)}
        36:{2,4,6,7}:{(19,1),(20,1),(46,1),(55,1),(99,1)}
        37:{2,4,5,7}:{(21,1),(50,1),(56,1),(76,1),(84,1),(99,1)}
        38:{3,4,6}:{(21,1),(22,1),(47,1),(52,1),(56,1)}
        39:{1,4,6,7}:{(22,1),(23,1),(48,1),(57,1),(100,1)}
        40:{1,2,3,6}:{(28,1),(58,1),(60,1),(102,1)}
        41:{2,3,4,6}:{(24,1),(29,1),(60,1),(61,1),(70,1),(88,1),(90,1),(102,1)}
        42:{1,3,4,6}:{(24,1),(30,1),(60,1),(62,1),(71,1),(88,1),(91,1),(102,1)}
        43:{3,5}:{(24,1),(25,1)}
        44:{1,2,4,5,6}:{(25,1),(26,1),(27,1),(32,1),(63,1),(64,1),(65,1),(67,1),(90,1),(91,1),(93,1)}
        45:{3,5,6}:{(26,1),(35,1),(65,1),(66,1)}
        46:{2,4,5,7}:{(26,1),(36,1),(66,1)}
        47:{3,5,6}:{(27,1),(38,1),(67,1),(68,1)}
        48:{1,4,5,7}:{(27,1),(39,1),(68,1)}
        49:{1,2,4,7}:{(28,1),(29,1),(30,1),(60,1),(69,1)}
        50:{2,3,5,7}:{(29,1),(31,1),(37,1),(61,1),(69,1),(70,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(34,1),(62,1),(69,1),(71,1)}
        52:{3,6}:{(31,1),(32,1)}
        53:{1,2,4,6,7}:{(32,1),(33,1),(36,1),(39,1),(64,1),(72,1),(73,1),(74,1),(96,1),(103,1)}
        54:{1,4,6}:{(34,1),(35,1),(65,1),(71,1)}
        55:{3,4,6,7}:{(35,1),(36,1),(66,1),(72,1),(73,1),(92,1)}
        56:{2,4,6}:{(37,1),(38,1),(67,1),(70,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(68,1),(72,1),(74,1),(92,1)}
        58:{1,2,3,5}:{(40,1),(75,1),(79,1),(97,1)}
        59:{3,4,5}:{(43,1),(76,1),(77,1),(78,1),(97,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(42,1),(49,1),(75,1),(79,1),(85,1)}
        61:{2,3,5}:{(41,1),(43,1),(76,1),(79,1),(97,1)}
        62:{1,3,5}:{(42,1),(43,1),(77,1),(79,1),(97,1)}
        63:{3,5,6}:{(43,1),(44,1),(52,1),(78,1),(82,1)}
        64:{1,2,4,5,7}:{(44,1),(46,1),(48,1),(53,1),(82,1),(83,1),(84,1),(99,1),(100,1),(101,1)}
        65:{1,5,6}:{(45,1),(54,1),(83,1)}
        66:{3,5,7}:{(45,1),(46,1),(55,1),(83,1)}
        67:{2,5,6}:{(47,1),(56,1),(84,1)}
        68:{3,5,7}:{(47,1),(48,1),(57,1),(84,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(85,1)}
        70:{2,3,6}:{(50,1),(52,1),(56,1),(85,1)}
        71:{1,3,6}:{(51,1),(52,1),(54,1),(85,1)}
        72:{3,6,7}:{(52,1),(53,1),(82,1),(104,1)}
        73:{1,4,6,7}:{(54,1),(55,1),(83,1),(87,1),(100,1)}
        74:{2,4,6,7}:{(56,1),(57,1),(84,1),(86,1),(99,1)}
        75:{1,2,4}:{(58,1),(88,1)}
        76:{2,4,5}:{(59,1),(61,1),(90,1)}
        77:{1,4,5}:{(59,1),(62,1),(91,1)}
        78:{3,4,6}:{(59,1),(63,1),(90,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(60,1),(61,1),(62,1)}
        80:{2,3,5,6}:{(61,1),(63,1),(67,1),(70,1),(90,1),(93,1),(94,1),(102,1)}
        81:{1,3,5,6}:{(62,1),(63,1),(65,1),(71,1),(91,1),(93,1),(95,1),(102,1)}
        82:{3,5,7}:{(63,1),(64,1),(72,1),(92,1)}
        83:{1,5,7}:{(65,1),(66,1),(73,1)}
        84:{2,5,7}:{(67,1),(68,1),(74,1)}
        85:{1,2,6}:{(69,1),(70,1),(71,1)}
        86:{2,3,6,7}:{(70,1),(72,1),(74,1),(94,1),(96,1)}
        87:{1,3,6,7}:{(71,1),(72,1),(73,1),(95,1),(96,1)}
        88:{3,4}:{(75,1),(97,1)}
        89:{1,2,4,5}:{(75,1),(76,1),(77,1),(79,1),(97,1),(98,1)}
        90:{2,4,6}:{(76,1),(78,1),(80,1),(99,1)}
        91:{1,4,6}:{(77,1),(78,1),(81,1),(100,1)}
        92:{3,4,7}:{(78,1),(82,1),(99,1),(100,1),(104,1)}
        93:{1,2,5,6}:{(79,1),(80,1),(81,1),(85,1),(98,1),(101,1)}
        94:{2,3,5,7}:{(80,1),(82,1),(84,1),(86,1),(99,1),(101,1),(104,1)}
        95:{1,3,5,7}:{(81,1),(82,1),(83,1),(87,1),(100,1),(101,1),(104,1)}
        96:{1,2,6,7}:{(85,1),(86,1),(87,1),(101,1)}
        97:{3,5}:{(88,1),(89,1),(102,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{2,4,7}:{(90,1),(92,1),(94,1)}
       100:{1,4,7}:{(91,1),(92,1),(95,1)}
       101:{1,2,5,7}:{(93,1),(94,1),(95,1),(96,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1944 :  0:{1,2,3,4,7}:{(1,1),(2,1),(30,1),(78,1)}
        1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(39,1),(68,1)}
        2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        3:{1,3,4,5,7}:{(4,1),(7,1),(18,1),(22,1),(43,1)}
        4:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(10,1),(26,1),(30,1)}
        5:{1,2,3,5}:{(1,1),(10,1)}
        6:{1,2,3,6}:{(2,1),(9,1)}
        7:{1,3,4,6}:{(3,1),(9,1),(13,1),(29,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(18,1),(35,1),(43,1)}
        9:{1,2,4,6}:{(4,1),(6,1),(7,1),(15,1),(16,1)}
       10:{1,2,4,5}:{(5,1),(18,1),(19,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(16,1),(19,1),(20,1),(37,1),(65,1),(68,1)}
       12:{1,2,3,6,7}:{(6,1),(17,1),(20,1),(64,1),(82,1)}
       13:{1,3,5,6}:{(7,1),(16,1),(21,1),(22,1),(37,1)}
       14:{1,3,4,6,7}:{(7,1),(17,1),(22,1),(43,1),(44,1),(64,1)}
       15:{2,3,4,6}:{(8,1),(9,1),(23,1),(29,1)}
       16:{1,2,5,6}:{(9,1),(13,1),(23,1),(26,1)}
       17:{1,2,4,6,7}:{(9,1),(12,1),(14,1),(24,1),(26,1),(30,1)}
       18:{3,4,5}:{(10,1),(29,1)}
       19:{1,2,4,6}:{(10,1),(11,1),(29,1),(30,1)}
       20:{1,2,3,5,7}:{(11,1),(12,1),(26,1),(30,1),(53,1),(77,1),(78,1)}
       21:{1,4,5,6}:{(13,1),(32,1),(33,1)}
       22:{1,3,5,7}:{(13,1),(14,1),(26,1),(33,1),(53,1)}
       23:{2,3,5,6}:{(15,1),(16,1),(34,1),(35,1),(37,1)}
       24:{2,3,4,6,7}:{(15,1),(17,1),(35,1),(43,1),(61,1),(64,1)}
       25:{1,2,4,5,6}:{(16,1),(19,1),(21,1),(34,1),(37,1),(38,1),(45,1),(62,1),(65,1)}
       26:{1,2,5,7}:{(16,1),(17,1),(22,1),(35,1)}
       27:{2,3,4,5}:{(18,1),(40,1),(41,1)}
       28:{1,3,4,5}:{(18,1),(40,1),(42,1)}
       29:{3,4,6}:{(18,1),(19,1),(37,1),(43,1)}
       30:{1,2,4,7}:{(19,1),(20,1),(43,1)}
       31:{1,3,5,6,7}:{(22,1),(36,1),(44,1),(64,1),(70,1)}
       32:{3,4,5,6}:{(21,1),(37,1),(45,1),(46,1)}
       33:{1,4,5,7}:{(21,1),(22,1),(44,1),(46,1)}
       34:{2,4,5,6}:{(23,1),(48,1),(49,1)}
       35:{2,3,5,7}:{(23,1),(24,1),(26,1),(49,1),(53,1)}
       36:{1,2,5,6,7}:{(26,1),(31,1),(47,1),(50,1),(79,1),(83,1)}
       37:{3,5,6}:{(25,1),(29,1),(53,1)}
       38:{1,2,4,5,7}:{(25,1),(26,1),(30,1),(33,1),(49,1),(50,1),(53,1),(60,1),(74,1),(77,1)}
       39:{1,2,3,4}:{(54,1)}
       40:{1,2,4,5}:{(27,1),(28,1),(54,1),(55,1)}
       41:{2,3,4,6}:{(27,1),(29,1),(51,1),(55,1),(56,1)}
       42:{1,3,4,6}:{(28,1),(29,1),(52,1),(55,1),(57,1)}
       43:{3,4,7}:{(29,1),(30,1),(53,1)}
       44:{1,4,6,7}:{(31,1),(33,1),(59,1)}
       45:{2,4,5,6}:{(32,1),(51,1),(60,1)}
       46:{3,4,5,7}:{(32,1),(33,1),(53,1),(59,1),(60,1)}
       47:{2,3,5,6,7}:{(35,1),(36,1),(61,1),(64,1),(80,1)}
       48:{3,4,5,6}:{(34,1),(37,1),(62,1),(63,1)}
       49:{2,4,5,7}:{(34,1),(35,1),(61,1),(63,1)}
       50:{1,2,4,6,7}:{(36,1),(38,1),(44,1),(61,1),(64,1),(71,1),(81,1),(82,1)}
       51:{2,3,5,6}:{(37,1),(41,1),(45,1),(65,1),(66,1)}
       52:{1,3,5,6}:{(37,1),(42,1),(62,1),(65,1),(67,1)}
       53:{3,5,7}:{(37,1),(38,1),(43,1),(64,1)}
       54:{1,2,3,5}:{(39,1),(40,1),(68,1)}
       55:{1,2,4,6}:{(40,1),(41,1),(42,1),(65,1),(68,1),(69,1)}
       56:{2,3,4,7}:{(41,1),(43,1),(66,1),(69,1)}
       57:{1,3,4,7}:{(42,1),(43,1),(67,1),(69,1)}
       58:{1,4,5,6,7}:{(44,1),(70,1)}
       59:{3,4,6,7}:{(44,1),(46,1),(64,1),(70,1),(71,1)}
       60:{2,4,5,7}:{(45,1),(46,1),(66,1),(71,1)}
       61:{2,4,6,7}:{(47,1),(49,1),(73,1)}
       62:{1,4,5,6}:{(48,1),(52,1),(74,1)}
       63:{3,4,5,7}:{(48,1),(49,1),(53,1),(73,1),(74,1)}
       64:{3,6,7}:{(50,1),(53,1)}
       65:{1,2,5,6}:{(51,1),(52,1),(55,1),(77,1)}
       66:{2,3,5,7}:{(51,1),(53,1),(56,1),(60,1),(75,1),(77,1)}
       67:{1,3,5,7}:{(52,1),(53,1),(57,1),(74,1),(76,1),(77,1)}
       68:{1,2,3,6}:{(54,1),(55,1),(78,1)}
       69:{1,2,4,7}:{(55,1),(56,1),(57,1),(77,1),(78,1)}
       70:{3,5,6,7}:{(58,1),(59,1),(79,1)}
       71:{2,4,6,7}:{(59,1),(60,1),(75,1),(79,1)}
       72:{2,4,5,6,7}:{(61,1),(80,1)}
       73:{3,4,6,7}:{(61,1),(63,1),(64,1),(80,1),(81,1)}
       74:{1,4,5,7}:{(62,1),(63,1),(67,1),(81,1)}
       75:{2,3,6,7}:{(64,1),(66,1),(71,1),(82,1)}
       76:{1,3,6,7}:{(64,1),(67,1),(81,1),(82,1)}
       77:{1,2,5,7}:{(65,1),(66,1),(67,1),(69,1),(82,1)}
       78:{1,2,3,7}:{(68,1),(69,1)}
       79:{2,5,6,7}:{(70,1),(71,1)}
       80:{3,5,6,7}:{(72,1),(73,1),(83,1)}
       81:{1,4,6,7}:{(73,1),(74,1),(76,1),(83,1)}
       82:{1,2,6,7}:{(75,1),(76,1),(77,1)}
       83:{1,5,6,7}:{(80,1),(81,1)}

1945 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(7,1),(18,1),(21,1),(22,1),(46,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(7,1)}
         3:{1,3,4,5}:{(6,1),(8,1),(19,1)}
         4:{1,2,3,4,7}:{(1,1),(10,1),(14,1),(38,1),(63,1)}
         5:{1,2,3,5}:{(1,1),(11,1)}
         6:{1,2,4,5}:{(2,1),(3,1),(9,1),(13,1)}
         7:{1,2,3,6}:{(2,1),(13,1),(14,1)}
         8:{1,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(34,1)}
         9:{2,3,4,5}:{(6,1),(17,1),(19,1)}
        10:{1,2,3,5,7}:{(4,1),(5,1),(20,1),(21,1)}
        11:{1,2,4,5}:{(5,1),(19,1),(22,1)}
        12:{1,2,3,5,6}:{(5,1),(7,1),(21,1),(22,1),(23,1),(24,1),(46,1),(50,1),(52,1),(79,1)}
        13:{1,2,4,6}:{(6,1),(7,1),(8,1),(17,1),(24,1),(25,1)}
        14:{1,2,3,7}:{(7,1),(25,1)}
        15:{1,3,5,6}:{(8,1),(24,1),(26,1),(27,1),(50,1)}
        16:{1,3,4,7}:{(8,1),(25,1),(27,1),(51,1)}
        17:{2,3,4,6}:{(9,1),(13,1),(28,1),(29,1),(34,1)}
        18:{1,2,3,4}:{(30,1)}
        19:{3,4,5}:{(11,1),(34,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(33,1),(35,1),(38,1),(71,1)}
        21:{1,2,3,6}:{(10,1),(35,1)}
        22:{1,2,4,6}:{(11,1),(12,1),(34,1),(38,1)}
        23:{1,2,3,5,7}:{(12,1),(14,1),(36,1),(38,1),(39,1),(63,1),(70,1),(71,1),(92,1)}
        24:{1,2,5,6}:{(13,1),(15,1),(28,1),(39,1)}
        25:{1,2,4,7}:{(13,1),(14,1),(16,1),(29,1),(39,1)}
        26:{1,4,5,6}:{(15,1),(40,1),(41,1)}
        27:{1,3,5,7}:{(15,1),(16,1),(39,1),(41,1),(42,1),(70,1)}
        28:{2,3,5,6}:{(17,1),(24,1),(43,1),(44,1),(50,1)}
        29:{2,3,4,7}:{(17,1),(25,1),(44,1),(51,1)}
        30:{1,2,3,5}:{(18,1),(45,1),(46,1)}
        31:{1,3,4,5}:{(19,1),(45,1),(47,1)}
        32:{2,3,4,5}:{(19,1),(45,1),(48,1)}
        33:{3,4,5,7}:{(19,1),(20,1),(49,1),(51,1),(84,1)}
        34:{3,4,6}:{(19,1),(22,1),(50,1),(51,1)}
        35:{1,2,4,6}:{(20,1),(21,1),(49,1),(52,1)}
        36:{1,2,3,6,7}:{(21,1),(23,1),(53,1),(55,1),(85,1),(101,1)}
        37:{1,2,4,5,6}:{(22,1),(24,1),(26,1),(43,1),(50,1),(52,1),(54,1),(56,1),(76,1),(79,1),(83,1)}
        38:{1,2,4,7}:{(22,1),(23,1),(51,1)}
        39:{1,2,5,7}:{(24,1),(25,1),(27,1),(44,1),(55,1)}
        40:{3,4,5,6}:{(26,1),(50,1),(56,1),(57,1),(83,1)}
        41:{1,4,5,7}:{(26,1),(27,1),(57,1),(58,1)}
        42:{1,3,6,7}:{(27,1),(55,1),(58,1),(85,1)}
        43:{2,4,5,6}:{(28,1),(59,1),(60,1)}
        44:{2,3,5,7}:{(28,1),(29,1),(39,1),(60,1),(61,1),(70,1)}
        45:{1,2,4,5}:{(30,1),(31,1),(32,1),(62,1)}
        46:{1,2,3,6}:{(30,1),(62,1),(63,1)}
        47:{1,3,4,6}:{(31,1),(34,1),(62,1),(64,1),(65,1)}
        48:{2,3,4,6}:{(32,1),(34,1),(62,1),(66,1),(67,1)}
        49:{3,4,6}:{(33,1),(35,1),(68,1)}
        50:{3,5,6}:{(34,1),(37,1),(70,1)}
        51:{3,4,7}:{(34,1),(38,1),(70,1)}
        52:{1,2,5,6}:{(35,1),(68,1),(71,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(69,1),(71,1)}
        54:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(41,1),(60,1),(70,1),(71,1),(72,1),(73,1),(89,1),(92,1),(95,1)}
        55:{1,2,6,7}:{(39,1),(42,1),(61,1)}
        56:{2,4,5,6}:{(40,1),(66,1),(73,1)}
        57:{3,4,5,7}:{(40,1),(41,1),(70,1),(73,1),(74,1),(95,1)}
        58:{1,4,6,7}:{(41,1),(42,1),(74,1),(75,1)}
        59:{3,4,5,6}:{(43,1),(50,1),(76,1),(77,1),(83,1)}
        60:{2,4,5,7}:{(43,1),(44,1),(77,1),(78,1)}
        61:{2,3,6,7}:{(44,1),(55,1),(78,1),(85,1)}
        62:{1,2,4,6}:{(45,1),(46,1),(47,1),(48,1),(79,1),(80,1)}
        63:{1,2,3,7}:{(46,1),(80,1)}
        64:{1,3,5,6}:{(47,1),(50,1),(76,1),(79,1),(81,1)}
        65:{1,3,4,7}:{(47,1),(51,1),(80,1),(81,1)}
        66:{2,3,5,6}:{(48,1),(50,1),(56,1),(79,1),(82,1)}
        67:{2,3,4,7}:{(48,1),(51,1),(80,1),(82,1)}
        68:{3,5,6}:{(49,1),(52,1),(83,1),(84,1)}
        69:{3,4,6,7}:{(49,1),(51,1),(53,1),(84,1),(85,1),(102,1)}
        70:{3,5,7}:{(50,1),(51,1),(54,1),(85,1)}
        71:{1,2,5,7}:{(52,1),(53,1),(84,1)}
        72:{1,2,4,6,7}:{(54,1),(55,1),(58,1),(78,1),(85,1),(86,1),(87,1),(99,1),(101,1),(102,1)}
        73:{2,4,5,7}:{(56,1),(57,1),(82,1),(87,1)}
        74:{3,4,6,7}:{(57,1),(58,1),(85,1),(87,1),(88,1),(102,1)}
        75:{1,5,6,7}:{(58,1),(88,1)}
        76:{1,4,5,6}:{(59,1),(64,1),(89,1)}
        77:{3,4,5,7}:{(59,1),(60,1),(70,1),(89,1),(90,1),(95,1)}
        78:{2,4,6,7}:{(60,1),(61,1),(90,1),(91,1)}
        79:{1,2,5,6}:{(62,1),(64,1),(66,1),(92,1)}
        80:{1,2,4,7}:{(62,1),(63,1),(65,1),(67,1),(92,1)}
        81:{1,3,5,7}:{(64,1),(65,1),(70,1),(89,1),(92,1),(93,1)}
        82:{2,3,5,7}:{(66,1),(67,1),(70,1),(73,1),(92,1),(94,1)}
        83:{4,5,6}:{(68,1),(95,1)}
        84:{3,5,7}:{(68,1),(69,1),(71,1),(95,1)}
        85:{3,6,7}:{(70,1),(72,1)}
        86:{1,2,5,6,7}:{(71,1),(72,1),(75,1),(91,1),(96,1),(97,1),(103,1)}
        87:{2,4,6,7}:{(73,1),(74,1),(94,1),(97,1)}
        88:{3,5,6,7}:{(74,1),(75,1),(97,1),(98,1)}
        89:{1,4,5,7}:{(76,1),(77,1),(81,1),(99,1)}
        90:{3,4,6,7}:{(77,1),(78,1),(85,1),(99,1),(100,1),(102,1)}
        91:{2,5,6,7}:{(78,1),(100,1)}
        92:{1,2,5,7}:{(79,1),(80,1),(81,1),(82,1),(101,1)}
        93:{1,3,6,7}:{(81,1),(85,1),(99,1),(101,1)}
        94:{2,3,6,7}:{(82,1),(85,1),(87,1),(101,1)}
        95:{4,5,7}:{(83,1),(84,1),(102,1)}
        96:{3,5,6,7}:{(84,1),(85,1),(86,1),(102,1)}
        97:{2,5,6,7}:{(87,1),(88,1)}
        98:{4,5,6,7}:{(88,1),(102,1)}
        99:{1,4,6,7}:{(89,1),(90,1),(93,1),(103,1)}
       100:{3,5,6,7}:{(90,1),(91,1),(103,1),(104,1)}
       101:{1,2,6,7}:{(92,1),(93,1),(94,1)}
       102:{4,6,7}:{(95,1),(96,1)}
       103:{1,5,6,7}:{(99,1),(100,1)}
       104:{4,5,6,7}:{(100,1),(102,1)}

1946 :   0:{2,3,4,5,6}:{(2,1),(3,1),(36,1),(59,1),(88,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(20,1),(95,1)}
         2:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(44,1),(47,1),(75,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(24,1),(74,1),(76,1)}
         4:{1,4,5,6,7}:{(1,1),(9,1),(100,1)}
         5:{2,4,5,6,7}:{(1,1),(10,1),(87,1)}
         6:{2,3,4,6,7}:{(2,1),(10,1),(12,1),(31,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(12,1),(13,1),(34,1),(58,1),(61,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(15,1)}
         9:{1,3,5,6,7}:{(4,1),(17,1),(18,1),(20,1),(93,1)}
        10:{2,3,5,6,7}:{(5,1),(6,1),(19,1),(20,1),(75,1)}
        11:{1,2,4,5,6,7}:{(4,1),(5,1),(18,1),(19,1),(20,1),(42,1),(43,1),(72,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(19,1),(21,1),(43,1)}
        13:{1,3,5,7}:{(7,1),(8,1),(21,1),(23,1)}
        14:{1,2,3,5,6}:{(8,1),(22,1),(24,1),(50,1),(76,1),(77,1)}
        15:{1,3,4,6}:{(8,1),(23,1),(24,1),(25,1)}
        16:{1,3,4,5,6}:{(26,1),(27,1),(59,1),(80,1),(101,1)}
        17:{1,3,4,6,7}:{(9,1),(26,1),(28,1),(31,1)}
        18:{1,2,5,6,7}:{(9,1),(28,1),(29,1),(83,1)}
        19:{1,2,5,6,7}:{(10,1),(12,1),(30,1),(61,1)}
        20:{3,5,6,7}:{(11,1),(31,1),(85,1)}
        21:{1,3,6,7}:{(12,1),(13,1)}
        22:{1,2,3,5,7}:{(13,1),(14,1),(32,1),(34,1),(61,1),(63,1)}
        23:{1,3,4,7}:{(13,1),(15,1),(34,1)}
        24:{1,2,4,6}:{(14,1),(15,1),(34,1),(36,1),(37,1)}
        25:{1,3,4,5}:{(15,1),(37,1)}
        26:{1,3,4,5,7}:{(16,1),(17,1),(38,1),(44,1),(89,1),(93,1)}
        27:{1,2,4,5,6}:{(16,1),(38,1),(39,1),(67,1),(73,1),(94,1)}
        28:{1,2,4,6,7}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        29:{2,3,5,6,7}:{(18,1),(20,1),(40,1),(42,1),(70,1)}
        30:{1,3,5,6,7}:{(19,1),(20,1),(21,1),(43,1),(46,1)}
        31:{3,4,6,7}:{(20,1),(42,1),(43,1),(44,1)}
        32:{1,2,3,6,7}:{(21,1),(22,1),(45,1),(77,1)}
        33:{1,3,4,6,7}:{(21,1),(23,1),(43,1),(45,1),(46,1),(49,1),(71,1)}
        34:{1,2,4,7}:{(22,1),(23,1),(24,1),(47,1)}
        35:{1,3,4,5,7}:{(23,1),(25,1),(46,1),(48,1),(49,1),(95,1)}
        36:{2,3,4,6}:{(24,1),(47,1),(50,1),(77,1)}
        37:{1,2,4,5}:{(24,1),(25,1),(50,1)}
        38:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(51,1),(57,1),(78,1),(83,1)}
        39:{2,3,5,6}:{(27,1),(51,1),(53,1)}
        40:{2,3,6,7}:{(28,1),(51,1)}
        41:{1,2,3,5,6,7}:{(29,1),(30,1),(32,1),(54,1),(56,1),(61,1),(83,1),(85,1),(88,1),(101,1)}
        42:{2,4,6,7}:{(29,1),(31,1),(57,1)}
        43:{1,4,6,7}:{(30,1),(31,1),(58,1)}
        44:{3,4,5,7}:{(31,1),(57,1),(58,1),(59,1),(85,1)}
        45:{1,2,4,6,7}:{(32,1),(33,1),(34,1),(60,1),(61,1),(64,1)}
        46:{1,3,5,7}:{(33,1),(58,1),(61,1),(62,1),(85,1)}
        47:{2,3,4,7}:{(34,1),(36,1),(63,1)}
        48:{1,2,4,5,7}:{(34,1),(35,1),(37,1),(61,1),(63,1),(64,1),(87,1)}
        49:{1,3,4,6}:{(35,1),(62,1),(64,1),(102,1)}
        50:{2,3,5}:{(36,1),(37,1)}
        51:{2,3,5,7}:{(38,1),(39,1),(40,1),(66,1)}
        52:{1,2,3,5,6}:{(39,1),(65,1),(67,1),(92,1),(94,1),(103,1)}
        53:{2,3,4,6}:{(39,1),(66,1),(67,1),(68,1)}
        54:{1,2,3,6,7}:{(40,1),(65,1),(69,1),(103,1)}
        55:{2,3,4,6,7}:{(40,1),(42,1),(66,1),(69,1),(70,1),(71,1),(91,1)}
        56:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(71,1),(72,1),(97,1),(104,1)}
        57:{2,4,5,7}:{(42,1),(44,1),(70,1),(73,1)}
        58:{1,4,5,7}:{(43,1),(44,1),(46,1),(74,1)}
        59:{3,4,5,6}:{(44,1),(73,1),(74,1),(96,1)}
        60:{2,3,4,6,7}:{(45,1),(47,1),(71,1),(75,1),(77,1),(97,1)}
        61:{1,2,5,7}:{(45,1),(46,1),(75,1),(76,1)}
        62:{1,3,5,6}:{(46,1),(49,1),(74,1),(76,1),(96,1)}
        63:{2,3,5,7}:{(47,1),(48,1),(50,1),(77,1)}
        64:{1,2,4,6}:{(48,1),(49,1),(76,1),(77,1),(97,1)}
        65:{1,2,3,5,7}:{(51,1),(52,1),(54,1),(78,1),(83,1),(98,1)}
        66:{2,3,4,7}:{(51,1),(53,1),(78,1)}
        67:{1,2,4,6}:{(52,1),(53,1),(78,1),(80,1),(81,1)}
        68:{2,3,4,5}:{(53,1),(81,1)}
        69:{1,2,4,6,7}:{(54,1),(55,1),(78,1),(82,1),(83,1),(99,1)}
        70:{2,3,5,7}:{(55,1),(57,1),(83,1),(84,1),(85,1)}
        71:{3,4,6,7}:{(56,1),(85,1),(102,1)}
        72:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(61,1),(83,1),(85,1),(86,1),(87,1),(100,1)}
        73:{2,4,5,6}:{(57,1),(59,1),(84,1)}
        74:{1,4,5,6}:{(58,1),(59,1),(62,1)}
        75:{2,3,5,7}:{(60,1),(61,1),(85,1),(87,1),(88,1)}
        76:{1,2,5,6}:{(61,1),(62,1),(64,1),(88,1)}
        77:{2,3,6}:{(63,1),(64,1)}
        78:{1,2,4,7}:{(65,1),(66,1),(67,1),(89,1)}
        79:{2,3,4,5,7}:{(66,1),(68,1),(70,1),(90,1),(91,1),(95,1)}
        80:{1,3,4,6}:{(67,1),(89,1),(92,1),(103,1)}
        81:{1,2,4,5}:{(67,1),(68,1),(92,1)}
        82:{1,3,4,6,7}:{(69,1),(71,1),(89,1),(93,1),(103,1),(104,1)}
        83:{1,2,5,7}:{(69,1),(70,1),(93,1),(94,1)}
        84:{2,3,5,6}:{(70,1),(73,1),(91,1),(94,1),(96,1)}
        85:{3,5,7}:{(71,1),(72,1),(96,1)}
        86:{1,2,4,5,6}:{(72,1),(73,1),(74,1),(76,1),(94,1),(96,1),(97,1),(104,1)}
        87:{2,4,5,7}:{(75,1),(95,1),(97,1)}
        88:{2,3,5,6}:{(75,1),(76,1),(77,1),(96,1),(97,1)}
        89:{1,3,4,7}:{(78,1),(80,1),(98,1)}
        90:{1,2,4,5,7}:{(78,1),(79,1),(81,1),(83,1),(98,1),(99,1),(100,1)}
        91:{2,3,4,6}:{(79,1),(84,1),(99,1),(102,1)}
        92:{1,3,5}:{(80,1),(81,1)}
        93:{1,3,5,7}:{(82,1),(83,1),(85,1),(100,1),(101,1)}
        94:{1,2,5,6}:{(83,1),(84,1),(99,1),(101,1)}
        95:{3,4,5,7}:{(85,1),(87,1),(100,1),(102,1)}
        96:{3,5,6}:{(85,1),(86,1),(102,1)}
        97:{2,4,6}:{(87,1),(88,1),(102,1)}
        98:{1,3,5,7}:{(89,1),(90,1),(92,1),(103,1)}
        99:{1,2,4,6}:{(90,1),(91,1),(94,1),(103,1),(104,1)}
       100:{1,4,5,7}:{(93,1),(95,1),(104,1)}
       101:{1,3,5,6}:{(93,1),(94,1),(96,1),(103,1),(104,1)}
       102:{3,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       103:{1,3,6}:{(98,1),(99,1)}
       104:{1,4,6}:{(100,1),(101,1),(102,1)}

1947 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(66,1),(75,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(54,1),(62,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(60,1),(63,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(50,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(47,1),(51,1)}
         5:{1,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(30,1),(55,1),(60,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(37,1),(78,1)}
         8:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(37,1),(54,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(38,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{1,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(43,1),(47,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(24,1),(89,1)}
        15:{2,4,5,6,7}:{(7,1),(8,1),(65,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(47,1)}
        17:{1,3,6,7}:{(9,1),(10,1)}
        18:{1,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{1,3,4,5}:{(11,1),(23,1)}
        20:{2,3,4,6}:{(13,1),(29,1),(30,1),(55,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(34,1),(55,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(29,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(30,1)}
        24:{1,3,5,6,7}:{(14,1),(32,1),(36,1),(37,1),(84,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(36,1),(37,1),(38,1),(59,1),(61,1)}
        26:{1,3,5,6,7}:{(16,1),(17,1),(37,1),(38,1),(39,1)}
        27:{1,3,4,6,7}:{(17,1),(18,1),(34,1),(38,1),(39,1),(40,1),(58,1)}
        28:{1,3,4,5,7}:{(18,1),(19,1),(35,1),(39,1),(40,1),(78,1)}
        29:{2,3,4,7}:{(20,1),(22,1),(43,1)}
        30:{2,3,5}:{(20,1),(23,1)}
        31:{1,3,4,5,6}:{(41,1),(44,1),(75,1),(91,1),(95,1)}
        32:{1,3,4,6,7}:{(24,1),(41,1),(45,1),(50,1)}
        33:{1,2,3,5,6,7}:{(21,1),(26,1),(46,1),(47,1),(49,1),(66,1),(69,1),(72,1),(93,1),(95,1)}
        34:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(42,1),(47,1),(48,1)}
        35:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(43,1),(47,1),(48,1),(65,1)}
        36:{1,2,5,6,7}:{(24,1),(45,1),(49,1),(93,1)}
        37:{3,5,6,7}:{(25,1),(50,1),(72,1)}
        38:{1,4,6,7}:{(26,1),(50,1),(51,1)}
        39:{1,3,5,7}:{(27,1),(47,1),(51,1),(52,1),(72,1)}
        40:{1,3,4,6}:{(28,1),(48,1),(52,1),(90,1)}
        41:{1,3,4,5,7}:{(31,1),(32,1),(53,1),(62,1),(84,1),(96,1)}
        42:{2,3,4,6,7}:{(29,1),(34,1),(54,1),(55,1),(58,1),(79,1)}
        43:{2,3,5,7}:{(29,1),(30,1),(35,1),(55,1)}
        44:{1,2,4,5,6}:{(31,1),(53,1),(56,1),(80,1),(86,1),(101,1)}
        45:{1,2,4,6,7}:{(32,1),(36,1),(53,1),(57,1),(61,1)}
        46:{1,2,4,6,7}:{(33,1),(38,1),(58,1),(59,1),(61,1),(79,1),(99,1)}
        47:{1,2,5,7}:{(34,1),(39,1),(54,1),(60,1)}
        48:{1,2,4,6}:{(35,1),(40,1),(55,1),(60,1),(79,1)}
        49:{2,3,5,6,7}:{(36,1),(37,1),(57,1),(61,1),(83,1)}
        50:{3,4,6,7}:{(37,1),(38,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(62,1),(63,1)}
        52:{1,3,5,6}:{(39,1),(40,1),(60,1),(63,1),(85,1)}
        53:{1,2,4,5,7}:{(41,1),(44,1),(45,1),(64,1),(74,1),(87,1),(93,1)}
        54:{2,3,5,7}:{(42,1),(47,1),(65,1),(66,1),(72,1)}
        55:{2,3,6}:{(43,1),(48,1)}
        56:{2,3,5,6}:{(44,1),(64,1),(68,1)}
        57:{2,3,6,7}:{(45,1),(64,1)}
        58:{3,4,6,7}:{(46,1),(72,1),(90,1)}
        59:{1,2,4,5,7}:{(46,1),(47,1),(51,1),(65,1),(72,1),(73,1),(74,1),(89,1),(93,1)}
        60:{1,2,5,6}:{(47,1),(48,1),(52,1),(66,1)}
        61:{2,4,6,7}:{(49,1),(50,1),(74,1)}
        62:{3,4,5,7}:{(50,1),(51,1),(72,1),(74,1),(75,1)}
        63:{1,4,5,6}:{(51,1),(52,1),(75,1)}
        64:{2,3,5,7}:{(53,1),(56,1),(57,1),(77,1)}
        65:{2,4,5,7}:{(54,1),(78,1),(79,1)}
        66:{2,3,5,6}:{(54,1),(55,1),(60,1),(79,1),(85,1)}
        67:{1,2,3,5,6}:{(56,1),(76,1),(80,1),(100,1),(101,1),(104,1)}
        68:{2,3,4,6}:{(56,1),(77,1),(80,1),(81,1)}
        69:{1,2,3,6,7}:{(57,1),(76,1),(82,1),(104,1)}
        70:{2,3,4,6,7}:{(57,1),(58,1),(61,1),(77,1),(82,1),(83,1),(98,1)}
        71:{1,3,4,6,7}:{(58,1),(82,1),(84,1),(96,1),(99,1),(104,1)}
        72:{3,5,7}:{(58,1),(59,1),(85,1)}
        73:{1,2,4,5,6}:{(59,1),(60,1),(63,1),(79,1),(85,1),(86,1),(99,1),(101,1)}
        74:{2,4,5,7}:{(61,1),(62,1),(83,1),(86,1)}
        75:{3,4,5,6}:{(62,1),(63,1),(85,1),(86,1)}
        76:{1,2,3,5,7}:{(64,1),(67,1),(69,1),(87,1),(93,1),(102,1)}
        77:{2,3,4,7}:{(64,1),(68,1),(87,1)}
        78:{3,4,5,7}:{(65,1),(72,1),(89,1),(90,1)}
        79:{2,4,6}:{(65,1),(66,1),(90,1)}
        80:{1,2,4,6}:{(67,1),(68,1),(87,1),(91,1),(92,1)}
        81:{2,3,4,5}:{(68,1),(92,1)}
        82:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(87,1),(93,1),(103,1)}
        83:{2,3,5,7}:{(70,1),(72,1),(74,1),(93,1),(94,1)}
        84:{1,3,5,7}:{(71,1),(72,1),(89,1),(93,1),(95,1)}
        85:{3,5,6}:{(72,1),(73,1),(90,1)}
        86:{2,4,5,6}:{(74,1),(75,1),(94,1)}
        87:{1,2,4,7}:{(76,1),(77,1),(80,1),(96,1)}
        88:{2,3,4,5,7}:{(77,1),(78,1),(81,1),(83,1),(97,1),(98,1)}
        89:{1,4,5,7}:{(78,1),(84,1),(99,1)}
        90:{3,4,6}:{(78,1),(79,1),(85,1),(99,1)}
        91:{1,3,4,6}:{(80,1),(96,1),(100,1),(104,1)}
        92:{1,2,4,5}:{(80,1),(81,1),(100,1)}
        93:{1,2,5,7}:{(82,1),(83,1),(84,1),(101,1)}
        94:{2,3,5,6}:{(83,1),(85,1),(86,1),(98,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(99,1),(101,1),(104,1)}
        96:{1,3,4,7}:{(87,1),(91,1),(102,1)}
        97:{1,2,4,5,7}:{(87,1),(88,1),(89,1),(92,1),(93,1),(102,1),(103,1)}
        98:{2,3,4,6}:{(88,1),(90,1),(94,1),(103,1)}
        99:{1,4,6}:{(89,1),(90,1),(95,1)}
       100:{1,3,5}:{(91,1),(92,1)}
       101:{1,2,5,6}:{(93,1),(94,1),(95,1),(103,1)}
       102:{1,3,5,7}:{(96,1),(97,1),(100,1),(104,1)}
       103:{1,2,4,6}:{(97,1),(98,1),(99,1),(101,1),(104,1)}
       104:{1,3,6}:{(102,1),(103,1)}

1948 :   0:{2,3,4,5,6}:{(2,1),(3,1),(31,1),(62,1),(72,1)}
         1:{1,2,3,4,6}:{(4,1),(5,1),(20,1),(23,1)}
         2:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(20,1),(50,1),(56,1)}
         3:{2,3,4,5,7}:{(0,1),(8,1),(9,1),(46,1),(77,1),(87,1)}
         4:{1,2,3,5}:{(1,1),(10,1)}
         5:{1,2,3,4,7}:{(1,1),(12,1),(34,1)}
         6:{1,3,4,5}:{(10,1),(14,1)}
         7:{1,3,5,6}:{(2,1),(14,1),(16,1)}
         8:{1,2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(34,1),(64,1),(71,1)}
         9:{2,3,4,6,7}:{(3,1),(17,1),(18,1),(73,1)}
        10:{1,2,4,5}:{(4,1),(6,1),(19,1),(20,1)}
        11:{1,2,3,5,6}:{(4,1),(7,1),(20,1),(22,1),(23,1),(45,1),(50,1)}
        12:{1,2,3,5,7}:{(4,1),(5,1),(21,1),(23,1)}
        13:{1,2,3,4,6,7}:{(5,1),(23,1),(24,1),(49,1),(52,1),(82,1),(117,1),(118,1),(119,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(20,1),(26,1)}
        15:{1,3,4,5,7}:{(6,1),(21,1),(26,1),(27,1),(53,1),(55,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(26,1),(28,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(28,1),(29,1),(57,1)}
        18:{2,3,5,6,7}:{(9,1),(29,1),(30,1),(58,1),(77,1)}
        19:{2,3,4,5}:{(10,1),(31,1)}
        20:{1,2,4,6}:{(10,1),(11,1),(14,1),(31,1),(34,1)}
        21:{1,2,4,5,7}:{(10,1),(12,1),(15,1),(32,1),(34,1),(35,1),(64,1)}
        22:{1,2,3,5,7}:{(11,1),(16,1),(34,1),(36,1),(60,1),(64,1)}
        23:{1,2,3,6}:{(12,1),(35,1)}
        24:{1,2,3,5,7}:{(13,1),(37,1),(38,1),(64,1),(97,1),(130,1)}
        25:{1,3,4,5,6}:{(14,1),(33,1),(39,1),(41,1),(95,1)}
        26:{1,3,4,7}:{(14,1),(16,1),(34,1)}
        27:{1,3,4,6}:{(15,1),(35,1),(41,1),(67,1)}
        28:{1,3,6,7}:{(16,1),(17,1)}
        29:{1,2,5,6,7}:{(17,1),(18,1),(42,1),(64,1)}
        30:{2,4,5,6,7}:{(18,1),(44,1),(94,1)}
        31:{2,3,4,6}:{(19,1),(20,1),(45,1),(46,1)}
        32:{2,3,4,5,7}:{(19,1),(21,1),(46,1),(47,1),(53,1),(77,1)}
        33:{1,2,4,5,6}:{(20,1),(25,1),(45,1),(48,1),(50,1),(78,1)}
        34:{1,2,4,7}:{(20,1),(22,1),(26,1),(46,1)}
        35:{1,2,4,6}:{(21,1),(23,1),(27,1),(47,1),(50,1)}
        36:{1,2,3,6,7}:{(22,1),(23,1),(28,1),(49,1),(76,1)}
        37:{1,2,3,5,6}:{(23,1),(24,1),(50,1),(52,1),(81,1),(116,1),(118,1)}
        38:{1,2,4,5,7}:{(24,1),(52,1),(53,1)}
        39:{1,3,4,5,7}:{(25,1),(26,1),(48,1),(54,1),(55,1),(110,1)}
        40:{1,3,4,6,7}:{(26,1),(27,1),(28,1),(49,1),(55,1),(57,1),(82,1)}
        41:{1,3,5,6}:{(27,1),(50,1),(55,1),(56,1),(81,1)}
        42:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(57,1),(58,1)}
        43:{1,2,4,5,6,7}:{(29,1),(30,1),(57,1),(58,1),(59,1),(80,1),(91,1),(92,1)}
        44:{3,4,5,6,7}:{(30,1),(58,1),(59,1),(110,1)}
        45:{2,3,5,6}:{(31,1),(33,1),(60,1)}
        46:{2,3,4,7}:{(31,1),(34,1),(60,1)}
        47:{2,3,4,6}:{(32,1),(35,1),(62,1),(67,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(39,1),(60,1),(63,1),(64,1),(94,1)}
        49:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(40,1),(61,1),(64,1)}
        50:{1,2,5,6}:{(35,1),(41,1),(62,1),(64,1)}
        51:{1,2,3,5,6,7}:{(36,1),(37,1),(42,1),(64,1),(66,1),(75,1),(93,1),(97,1),(128,1),(130,1),(132,1)}
        52:{1,2,4,6}:{(37,1),(38,1),(67,1)}
        53:{3,4,5,7}:{(38,1),(67,1),(97,1)}
        54:{1,3,4,6,7}:{(39,1),(63,1),(70,1),(124,1)}
        55:{1,3,5,7}:{(40,1),(41,1),(64,1),(71,1),(97,1)}
        56:{1,4,5,6}:{(41,1),(71,1),(72,1)}
        57:{1,4,6,7}:{(42,1),(71,1),(73,1)}
        58:{3,5,6,7}:{(43,1),(73,1),(97,1)}
        59:{1,4,5,6,7}:{(44,1),(74,1),(125,1)}
        60:{2,3,5,7}:{(45,1),(46,1),(48,1),(76,1)}
        61:{2,3,4,6,7}:{(46,1),(47,1),(49,1),(76,1),(77,1),(82,1),(109,1)}
        62:{2,3,5,6}:{(47,1),(50,1),(77,1),(78,1),(81,1)}
        63:{1,2,4,6,7}:{(48,1),(54,1),(76,1),(79,1),(109,1)}
        64:{1,2,5,7}:{(49,1),(50,1),(55,1),(77,1)}
        65:{1,2,4,5,6}:{(50,1),(52,1),(56,1),(78,1),(80,1),(81,1),(89,1),(111,1),(116,1)}
        66:{1,2,4,6,7}:{(51,1),(52,1),(57,1),(80,1),(82,1),(91,1),(109,1),(136,1)}
        67:{3,4,6}:{(52,1),(53,1),(81,1)}
        68:{1,3,4,5,7}:{(53,1),(83,1),(85,1),(114,1),(152,1),(153,1)}
        69:{2,3,4,5,7}:{(53,1),(84,1),(85,1),(115,1),(144,1),(145,1)}
        70:{1,3,5,6,7}:{(54,1),(55,1),(79,1),(86,1),(113,1)}
        71:{1,4,5,7}:{(55,1),(56,1),(57,1),(87,1)}
        72:{3,4,5,6}:{(56,1),(81,1),(87,1),(89,1)}
        73:{3,4,6,7}:{(57,1),(58,1),(87,1),(91,1)}
        74:{1,3,5,6,7}:{(58,1),(59,1),(90,1),(92,1),(114,1)}
        75:{2,3,5,6,7}:{(58,1),(91,1),(92,1),(115,1),(123,1)}
        76:{2,3,6,7}:{(60,1),(63,1)}
        77:{2,3,5,7}:{(61,1),(62,1),(64,1),(94,1),(97,1)}
        78:{2,4,5,6}:{(62,1),(94,1),(95,1)}
        79:{1,2,5,6,7}:{(63,1),(64,1),(70,1),(93,1)}
        80:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(71,1),(94,1),(97,1),(106,1),(125,1),(130,1)}
        81:{3,5,6}:{(65,1),(67,1),(97,1)}
        82:{3,4,6,7}:{(66,1),(67,1),(97,1)}
        83:{1,3,4,6}:{(67,1),(68,1),(98,1),(102,1)}
        84:{2,3,4,6}:{(67,1),(69,1),(99,1),(102,1)}
        85:{1,2,4,5,7}:{(68,1),(69,1),(102,1),(103,1),(130,1),(149,1),(150,1)}
        86:{1,4,5,6,7}:{(70,1),(71,1),(104,1)}
        87:{3,4,5,7}:{(71,1),(72,1),(73,1),(97,1),(106,1)}
        88:{1,3,4,5,6}:{(72,1),(98,1),(105,1),(107,1),(148,1)}
        89:{2,4,5,6}:{(72,1),(99,1),(106,1)}
        90:{1,3,4,6,7}:{(73,1),(74,1),(105,1),(108,1)}
        91:{2,4,6,7}:{(73,1),(75,1),(106,1)}
        92:{1,2,5,6,7}:{(74,1),(75,1),(108,1),(130,1)}
        93:{2,3,5,6,7}:{(76,1),(77,1),(79,1),(109,1),(113,1)}
        94:{2,4,5,7}:{(77,1),(78,1),(109,1),(110,1)}
        95:{3,4,5,6}:{(78,1),(81,1),(110,1),(111,1)}
        96:{1,2,4,5,6,7}:{(79,1),(80,1),(86,1),(109,1),(113,1),(120,1),(136,1),(140,1)}
        97:{3,5,7}:{(80,1),(81,1),(82,1)}
        98:{1,3,5,6}:{(81,1),(83,1),(111,1),(114,1),(116,1)}
        99:{2,3,5,6}:{(81,1),(84,1),(89,1),(115,1),(116,1)}
       100:{1,3,4,6,7}:{(82,1),(83,1),(114,1),(117,1),(136,1),(151,1),(152,1)}
       101:{2,3,4,6,7}:{(82,1),(84,1),(91,1),(115,1),(117,1),(123,1),(144,1)}
       102:{1,2,4,6}:{(83,1),(84,1),(85,1),(116,1),(118,1)}
       103:{1,2,3,5,7}:{(85,1),(118,1),(119,1),(143,1)}
       104:{3,4,5,6,7}:{(86,1),(87,1),(113,1),(120,1)}
       105:{1,3,4,5,7}:{(87,1),(88,1),(90,1),(114,1),(121,1),(152,1)}
       106:{2,4,5,7}:{(87,1),(89,1),(91,1),(115,1)}
       107:{1,2,4,5,6}:{(88,1),(89,1),(116,1),(121,1),(122,1),(142,1)}
       108:{1,2,4,6,7}:{(90,1),(91,1),(92,1),(121,1),(123,1)}
       109:{2,4,6,7}:{(93,1),(94,1),(124,1)}
       110:{3,4,5,7}:{(94,1),(95,1),(97,1),(124,1),(125,1)}
       111:{1,4,5,6}:{(95,1),(98,1),(125,1)}
       112:{2,3,4,5,6}:{(95,1),(99,1),(126,1),(127,1),(135,1)}
       113:{3,5,6,7}:{(96,1),(97,1),(124,1)}
       114:{1,3,5,7}:{(97,1),(98,1),(100,1),(125,1),(130,1)}
       115:{2,3,5,7}:{(97,1),(99,1),(101,1),(106,1),(130,1)}
       116:{1,2,5,6}:{(98,1),(99,1),(102,1),(130,1)}
       117:{1,2,4,6,7}:{(100,1),(101,1),(102,1),(130,1),(132,1),(149,1)}
       118:{1,2,3,6}:{(102,1),(103,1)}
       119:{1,2,3,4,7}:{(103,1),(133,1),(149,1)}
       120:{2,4,5,6,7}:{(104,1),(106,1),(129,1)}
       121:{1,2,4,5,7}:{(105,1),(106,1),(107,1),(108,1),(130,1),(134,1),(149,1)}
       122:{2,3,5,6}:{(107,1),(134,1),(135,1)}
       123:{2,3,6,7}:{(108,1),(134,1)}
       124:{3,4,6,7}:{(109,1),(110,1),(113,1),(136,1)}
       125:{1,4,5,7}:{(110,1),(111,1),(114,1),(136,1)}
       126:{2,3,4,5,7}:{(110,1),(112,1),(115,1),(137,1),(138,1),(144,1)}
       127:{1,2,4,5,6}:{(111,1),(112,1),(116,1),(138,1),(139,1),(142,1)}
       128:{1,3,5,6,7}:{(113,1),(114,1),(136,1),(140,1),(151,1)}
       129:{2,3,5,6,7}:{(113,1),(115,1),(120,1),(137,1),(140,1)}
       130:{1,2,5,7}:{(114,1),(115,1),(116,1),(117,1)}
       131:{1,2,3,5,6}:{(116,1),(118,1),(122,1),(139,1),(141,1),(142,1),(143,1)}
       132:{1,2,3,6,7}:{(117,1),(118,1),(123,1),(141,1),(151,1)}
       133:{1,2,3,4,6}:{(118,1),(119,1),(142,1),(143,1)}
       134:{2,3,5,7}:{(121,1),(122,1),(123,1),(144,1)}
       135:{2,3,4,6}:{(122,1),(142,1),(144,1),(145,1)}
       136:{1,4,6,7}:{(124,1),(125,1),(128,1)}
       137:{2,3,4,6,7}:{(124,1),(126,1),(129,1),(146,1)}
       138:{1,2,4,5,7}:{(125,1),(126,1),(127,1),(130,1),(146,1),(147,1),(149,1)}
       139:{1,3,5,6}:{(127,1),(147,1),(148,1)}
       140:{1,2,5,6,7}:{(128,1),(129,1),(130,1),(146,1)}
       141:{1,2,3,5,7}:{(130,1),(131,1),(132,1),(134,1),(147,1),(149,1)}
       142:{1,2,4,6}:{(131,1),(135,1),(148,1),(149,1),(150,1)}
       143:{1,2,3,5}:{(133,1),(150,1)}
       144:{2,3,4,7}:{(134,1),(135,1),(149,1)}
       145:{2,3,4,5}:{(135,1),(150,1)}
       146:{1,2,4,6,7}:{(136,1),(137,1),(138,1),(140,1),(151,1)}
       147:{1,3,5,7}:{(138,1),(139,1),(151,1),(152,1)}
       148:{1,3,4,6}:{(139,1),(142,1),(152,1),(153,1)}
       149:{1,2,4,7}:{(141,1),(142,1),(144,1),(152,1)}
       150:{1,2,4,5}:{(142,1),(143,1),(145,1),(153,1)}
       151:{1,3,6,7}:{(146,1),(147,1)}
       152:{1,3,4,7}:{(147,1),(148,1),(149,1)}
       153:{1,3,4,5}:{(148,1),(150,1)}

1949 :   0:{1,3,4,5,7}:{(2,1),(3,1),(18,1),(57,1),(117,1),(130,1),(134,1),(169,1),(176,1),(181,1)}
         1:{1,4,5,6,7}:{(4,1),(25,1),(199,1)}
         2:{1,3,4,6}:{(0,1),(8,1),(9,1),(102,1),(189,1),(194,1),(196,1)}
         3:{1,2,4,5,7}:{(0,1),(9,1),(10,1),(35,1),(40,1),(94,1),(99,1),(103,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(13,1),(206,1)}
         5:{2,3,4,5,7}:{(14,1),(15,1),(24,1),(51,1),(72,1),(131,1),(168,1),(172,1),(176,1),(200,1)}
         6:{1,3,4,6,7}:{(2,1),(18,1),(19,1),(25,1),(74,1),(130,1),(135,1)}
         7:{3,4,5,6}:{(17,1),(20,1),(21,1),(70,1),(172,1),(201,1)}
         8:{1,3,5,6}:{(2,1),(18,1),(20,1),(22,1),(70,1),(117,1),(183,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(22,1),(23,1),(71,1)}
        10:{2,3,5,7}:{(3,1),(23,1),(24,1),(72,1),(176,1)}
        11:{3,4,6,7}:{(4,1),(17,1),(25,1),(26,1),(74,1),(201,1)}
        12:{1,3,5,6,7}:{(4,1),(18,1),(25,1),(27,1),(74,1),(170,1)}
        13:{2,5,6,7}:{(4,1),(26,1),(209,1)}
        14:{2,3,4,6}:{(5,1),(31,1),(32,1),(146,1),(160,1),(194,1),(207,1)}
        15:{1,2,4,5,7}:{(5,1),(32,1),(33,1),(35,1),(81,1),(94,1),(143,1),(147,1)}
        16:{1,2,3,5,7}:{(10,1),(33,1),(34,1),(35,1),(94,1)}
        17:{3,4,5,7}:{(7,1),(11,1),(38,1),(39,1),(98,1)}
        18:{1,3,5,7}:{(6,1),(8,1),(38,1),(40,1),(98,1),(162,1)}
        19:{1,2,4,6,7}:{(6,1),(9,1),(40,1),(41,1),(99,1)}
        20:{1,4,5,6}:{(7,1),(8,1),(38,1),(147,1),(189,1)}
        21:{2,4,5,6}:{(7,1),(39,1),(42,1),(190,1),(207,1)}
        22:{1,2,5,6}:{(8,1),(9,1),(40,1),(44,1),(94,1)}
        23:{2,3,6}:{(9,1),(10,1),(194,1)}
        24:{2,3,4,7}:{(10,1),(35,1),(45,1),(99,1),(150,1)}
        25:{1,4,6,7}:{(11,1),(12,1),(38,1),(189,1)}
        26:{2,4,6,7}:{(11,1),(13,1),(39,1),(46,1),(207,1)}
        27:{1,2,5,6,7}:{(12,1),(13,1),(40,1),(47,1),(48,1),(152,1),(162,1)}
        28:{2,4,5,6,7}:{(49,1),(108,1),(137,1)}
        29:{2,3,4,6,7}:{(14,1),(51,1),(52,1),(108,1),(165,1),(168,1),(197,1)}
        30:{3,4,5,6}:{(50,1),(53,1),(54,1),(115,1),(134,1),(182,1)}
        31:{2,3,5,6}:{(14,1),(51,1),(54,1),(55,1),(72,1),(115,1),(209,1)}
        32:{1,2,4,6}:{(14,1),(15,1),(55,1),(56,1),(116,1)}
        33:{1,3,5,7}:{(15,1),(56,1),(57,1),(117,1),(176,1)}
        34:{1,2,3,6}:{(16,1),(23,1),(56,1),(62,1)}
        35:{1,2,4,7}:{(16,1),(24,1),(57,1),(62,1)}
        36:{1,3,4,5}:{(59,1),(63,1),(128,1),(172,1),(180,1)}
        37:{2,3,4,5}:{(60,1),(64,1),(127,1),(134,1),(179,1)}
        38:{1,4,5,7}:{(17,1),(18,1),(20,1),(25,1)}
        39:{2,4,5,7}:{(17,1),(21,1),(26,1),(65,1)}
        40:{1,2,5,7}:{(18,1),(19,1),(22,1),(67,1)}
        41:{2,3,6,7}:{(19,1),(23,1),(67,1),(74,1)}
        42:{2,3,5,6}:{(21,1),(60,1),(65,1),(69,1),(70,1),(179,1),(203,1)}
        43:{1,2,4,5,6}:{(20,1),(21,1),(22,1),(66,1),(69,1),(70,1),(71,1),(125,1),(133,1),(137,1),(177,1),(183,1)}
        44:{2,3,5,6}:{(22,1),(23,1),(67,1),(70,1),(71,1),(72,1)}
        45:{2,3,4,6}:{(23,1),(24,1),(62,1),(71,1),(72,1),(124,1)}
        46:{2,3,6,7}:{(26,1),(65,1),(73,1),(74,1),(203,1)}
        47:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(66,1),(73,1),(74,1),(75,1),(135,1),(177,1)}
        48:{2,3,5,6,7}:{(27,1),(67,1),(74,1),(75,1),(132,1),(136,1)}
        49:{3,5,6,7}:{(28,1),(76,1),(77,1),(163,1)}
        50:{3,4,5,7}:{(30,1),(76,1),(79,1),(80,1),(142,1)}
        51:{2,3,5,7}:{(29,1),(31,1),(80,1),(81,1),(142,1),(205,1)}
        52:{1,2,4,6,7}:{(29,1),(32,1),(81,1),(82,1),(143,1)}
        53:{1,4,5,6}:{(30,1),(79,1),(83,1),(161,1),(196,1)}
        54:{2,4,5,6}:{(30,1),(31,1),(80,1),(103,1),(160,1)}
        55:{1,2,5,6}:{(31,1),(32,1),(81,1),(85,1),(94,1)}
        56:{1,3,6}:{(32,1),(33,1),(194,1)}
        57:{1,3,4,7}:{(33,1),(35,1),(86,1),(143,1),(150,1)}
        58:{1,2,3,6,7}:{(34,1),(41,1),(82,1),(89,1),(90,1),(104,1),(184,1),(194,1),(208,1)}
        59:{1,3,4,6}:{(36,1),(83,1),(87,1),(91,1),(146,1)}
        60:{2,3,4,6}:{(37,1),(42,1),(88,1),(92,1),(102,1)}
        61:{1,2,3,5,6}:{(34,1),(44,1),(85,1),(89,1),(93,1),(94,1),(101,1),(145,1),(152,1),(153,1),(156,1),(194,1),(195,1),(208,1)}
        62:{1,2,4,6}:{(34,1),(35,1),(45,1),(86,1),(94,1)}
        63:{1,2,4,5}:{(36,1),(91,1),(95,1),(157,1),(190,1),(195,1)}
        64:{1,2,4,5}:{(37,1),(92,1),(96,1),(157,1),(161,1),(195,1)}
        65:{2,3,5,7}:{(39,1),(42,1),(46,1),(88,1),(97,1),(98,1)}
        66:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(47,1),(97,1),(98,1),(99,1),(106,1),(158,1),(162,1)}
        67:{2,3,5,7}:{(40,1),(41,1),(44,1),(98,1),(99,1)}
        68:{2,3,4,6,7}:{(41,1),(45,1),(90,1),(99,1),(100,1),(105,1),(150,1),(160,1),(194,1)}
        69:{1,2,5,6}:{(42,1),(92,1),(97,1),(101,1),(195,1),(208,1)}
        70:{3,5,6}:{(43,1),(98,1),(102,1),(156,1),(194,1)}
        71:{2,4,6}:{(44,1),(99,1),(102,1),(103,1)}
        72:{2,3,5}:{(45,1),(94,1),(103,1),(156,1)}
        73:{1,2,6,7}:{(46,1),(97,1),(104,1),(208,1)}
        74:{3,6,7}:{(47,1),(98,1),(194,1)}
        75:{2,4,6,7}:{(48,1),(99,1),(105,1),(106,1),(160,1)}
        76:{3,4,6,7}:{(49,1),(50,1),(107,1),(108,1),(165,1),(182,1)}
        77:{1,5,6,7}:{(49,1),(107,1),(183,1)}
        78:{2,3,5,6,7}:{(49,1),(51,1),(108,1),(109,1),(132,1),(165,1)}
        79:{1,4,5,7}:{(50,1),(53,1),(107,1),(110,1)}
        80:{2,4,5,7}:{(50,1),(51,1),(54,1),(108,1)}
        81:{1,2,5,7}:{(51,1),(52,1),(55,1),(112,1)}
        82:{1,3,6,7}:{(52,1),(56,1),(112,1),(165,1)}
        83:{1,3,5,6}:{(53,1),(59,1),(110,1),(114,1),(115,1),(180,1),(204,1)}
        84:{1,2,4,5,6}:{(53,1),(54,1),(55,1),(111,1),(114,1),(115,1),(116,1),(125,1),(171,1),(177,1),(199,1),(209,1)}
        85:{1,3,5,6}:{(55,1),(56,1),(112,1),(115,1),(116,1),(117,1)}
        86:{1,3,4,6}:{(56,1),(57,1),(62,1),(116,1),(117,1),(124,1)}
        87:{1,3,4,7}:{(59,1),(110,1),(118,1),(168,1)}
        88:{2,3,4,7}:{(60,1),(65,1),(119,1),(130,1)}
        89:{1,2,3,5,7}:{(58,1),(61,1),(67,1),(112,1),(120,1),(121,1),(129,1),(167,1),(173,1),(176,1),(202,1)}
        90:{1,2,4,6,7}:{(58,1),(62,1),(68,1),(113,1),(120,1),(121,1),(135,1),(177,1),(197,1)}
        91:{1,2,4,6}:{(59,1),(63,1),(114,1),(118,1),(122,1),(171,1)}
        92:{1,2,4,6}:{(60,1),(64,1),(69,1),(119,1),(123,1),(133,1)}
        93:{1,2,4,6}:{(61,1),(71,1),(116,1),(120,1),(124,1),(125,1),(133,1),(171,1)}
        94:{1,2,5}:{(62,1),(72,1),(117,1)}
        95:{2,3,5}:{(63,1),(122,1),(127,1)}
        96:{1,3,5}:{(64,1),(123,1),(128,1)}
        97:{1,2,5,7}:{(65,1),(69,1),(73,1),(119,1),(129,1)}
        98:{3,5,7}:{(66,1),(70,1),(74,1),(130,1)}
        99:{2,4,7}:{(67,1),(71,1),(130,1)}
       100:{2,3,5,7}:{(68,1),(72,1),(121,1),(131,1),(132,1),(136,1),(176,1)}
       101:{1,3,5,6}:{(69,1),(70,1),(123,1),(129,1),(133,1),(180,1),(183,1),(204,1)}
       102:{3,4,6}:{(70,1),(71,1),(130,1),(133,1),(134,1)}
       103:{2,4,5}:{(71,1),(72,1),(134,1)}
       104:{1,3,6,7}:{(73,1),(74,1),(129,1),(135,1),(204,1)}
       105:{3,4,6,7}:{(74,1),(75,1),(130,1),(135,1),(136,1),(182,1)}
       106:{2,4,5,7}:{(75,1),(136,1),(137,1)}
       107:{1,4,6,7}:{(76,1),(77,1),(79,1),(138,1),(196,1)}
       108:{2,4,6,7}:{(76,1),(78,1),(80,1),(160,1)}
       109:{1,2,5,6,7}:{(77,1),(78,1),(81,1),(139,1),(140,1),(152,1),(205,1)}
       110:{1,3,5,7}:{(79,1),(83,1),(87,1),(138,1),(141,1),(142,1)}
       111:{1,2,4,5,7}:{(79,1),(80,1),(81,1),(84,1),(139,1),(141,1),(142,1),(143,1),(186,1),(187,1),(205,1)}
       112:{1,3,5,7}:{(81,1),(82,1),(85,1),(142,1),(143,1)}
       113:{1,3,4,6,7}:{(82,1),(86,1),(90,1),(143,1),(144,1),(150,1),(185,1),(189,1),(194,1)}
       114:{1,2,5,6}:{(83,1),(91,1),(141,1),(145,1),(195,1),(208,1)}
       115:{3,5,6}:{(84,1),(142,1),(146,1),(156,1),(194,1)}
       116:{1,4,6}:{(85,1),(143,1),(146,1),(147,1)}
       117:{1,3,5}:{(86,1),(94,1),(147,1),(156,1)}
       118:{1,2,4,7}:{(87,1),(91,1),(141,1),(148,1),(187,1)}
       119:{1,2,4,7}:{(88,1),(92,1),(97,1),(149,1),(158,1)}
       120:{1,2,4,7}:{(89,1),(93,1),(99,1),(143,1),(150,1),(158,1),(187,1)}
       121:{1,2,5,7}:{(90,1),(94,1),(100,1),(144,1),(152,1),(162,1),(205,1)}
       122:{2,3,6}:{(91,1),(95,1),(148,1)}
       123:{1,3,6}:{(92,1),(96,1),(149,1)}
       124:{3,4,6}:{(93,1),(150,1),(156,1),(194,1)}
       125:{1,2,4,5}:{(93,1),(94,1),(103,1),(147,1),(156,1),(161,1),(190,1),(195,1)}
       126:{1,2,3,5}:{(95,1),(96,1),(153,1),(157,1),(195,1)}
       127:{2,3,4}:{(95,1),(157,1)}
       128:{1,3,4}:{(96,1),(157,1)}
       129:{1,3,5,7}:{(97,1),(98,1),(101,1),(104,1),(149,1),(158,1),(162,1)}
       130:{3,4,7}:{(98,1),(99,1),(102,1),(158,1)}
       131:{2,4,5,7}:{(99,1),(100,1),(103,1),(159,1),(160,1)}
       132:{2,3,5,6}:{(100,1),(152,1),(160,1),(163,1),(194,1)}
       133:{1,4,6}:{(101,1),(102,1),(158,1),(161,1)}
       134:{3,4,5}:{(102,1),(103,1),(156,1),(161,1)}
       135:{1,4,6,7}:{(104,1),(105,1),(158,1),(162,1),(196,1)}
       136:{3,5,7}:{(105,1),(106,1),(162,1),(163,1)}
       137:{2,4,5,6}:{(106,1),(160,1),(163,1)}
       138:{1,3,6,7}:{(107,1),(110,1),(164,1),(165,1),(204,1)}
       139:{1,2,4,6,7}:{(107,1),(108,1),(109,1),(111,1),(164,1),(165,1),(166,1),(177,1),(197,1)}
       140:{1,3,5,6,7}:{(109,1),(112,1),(165,1),(166,1),(170,1),(198,1)}
       141:{1,2,5,7}:{(110,1),(114,1),(118,1),(164,1),(167,1)}
       142:{3,5,7}:{(111,1),(115,1),(165,1),(168,1)}
       143:{1,4,7}:{(112,1),(116,1),(168,1)}
       144:{1,3,5,7}:{(113,1),(117,1),(121,1),(169,1),(170,1),(176,1),(198,1)}
       145:{2,3,5,6}:{(114,1),(115,1),(122,1),(167,1),(171,1),(179,1),(203,1),(209,1)}
       146:{3,4,6}:{(115,1),(116,1),(168,1),(171,1),(172,1)}
       147:{1,4,5}:{(116,1),(117,1),(172,1)}
       148:{2,3,7}:{(118,1),(122,1)}
       149:{1,3,7}:{(119,1),(123,1)}
       150:{3,4,7}:{(120,1),(124,1),(176,1)}
       151:{1,2,4,5,7}:{(120,1),(121,1),(125,1),(131,1),(169,1),(176,1),(177,1),(181,1),(200,1),(202,1)}
       152:{1,2,5,6}:{(121,1),(132,1),(170,1),(177,1),(183,1),(209,1)}
       153:{1,2,3,6}:{(122,1),(123,1),(126,1),(173,1),(178,1)}
       154:{2,3,4,6}:{(122,1),(124,1),(127,1),(171,1),(174,1),(178,1),(179,1),(203,1)}
       155:{1,3,4,6}:{(123,1),(124,1),(128,1),(133,1),(175,1),(178,1),(180,1),(204,1)}
       156:{3,5}:{(124,1),(125,1)}
       157:{1,2,4}:{(126,1),(127,1),(128,1)}
       158:{1,4,7}:{(129,1),(130,1),(133,1)}
       159:{3,4,5,7}:{(130,1),(131,1),(134,1),(136,1),(176,1),(181,1),(182,1)}
       160:{2,4,6}:{(131,1),(132,1),(182,1)}
       161:{1,4,5}:{(133,1),(134,1),(180,1)}
       162:{1,5,7}:{(135,1),(136,1),(183,1)}
       163:{3,5,6}:{(136,1),(137,1),(182,1),(183,1)}
       164:{1,2,6,7}:{(138,1),(141,1),(184,1),(208,1)}
       165:{3,6,7}:{(139,1),(142,1),(194,1)}
       166:{1,4,6,7}:{(140,1),(143,1),(185,1),(186,1),(189,1)}
       167:{2,3,5,7}:{(141,1),(142,1),(145,1),(148,1),(184,1),(187,1),(205,1)}
       168:{3,4,7}:{(142,1),(143,1),(146,1),(187,1)}
       169:{1,4,5,7}:{(143,1),(144,1),(147,1),(188,1),(189,1)}
       170:{1,3,5,6}:{(144,1),(152,1),(189,1),(194,1),(206,1)}
       171:{2,4,6}:{(145,1),(146,1),(187,1),(190,1)}
       172:{3,4,5}:{(146,1),(147,1),(156,1),(190,1)}
       173:{1,2,3,7}:{(148,1),(149,1),(153,1),(191,1)}
       174:{2,3,4,7}:{(148,1),(150,1),(154,1),(187,1),(191,1),(192,1)}
       175:{1,3,4,7}:{(149,1),(150,1),(155,1),(158,1),(191,1),(193,1)}
       176:{3,5,7}:{(150,1),(151,1),(156,1),(194,1)}
       177:{1,2,4,6}:{(151,1),(152,1),(160,1),(189,1),(194,1),(196,1),(207,1),(208,1)}
       178:{1,2,4,6}:{(153,1),(154,1),(155,1),(157,1),(191,1),(195,1),(208,1)}
       179:{2,3,5}:{(154,1),(156,1),(190,1),(195,1)}
       180:{1,3,5}:{(155,1),(156,1),(161,1),(195,1)}
       181:{1,4,5,7}:{(158,1),(159,1),(161,1),(162,1),(193,1),(196,1)}
       182:{3,4,6}:{(159,1),(160,1),(163,1),(194,1),(196,1)}
       183:{1,5,6}:{(162,1),(163,1),(196,1)}
       184:{2,3,6,7}:{(164,1),(165,1),(167,1),(197,1),(203,1)}
       185:{3,4,6,7}:{(165,1),(166,1),(168,1),(197,1),(198,1),(201,1)}
       186:{1,4,5,7}:{(166,1),(198,1),(199,1)}
       187:{2,4,7}:{(167,1),(168,1),(171,1)}
       188:{3,4,5,7}:{(168,1),(169,1),(172,1),(176,1),(198,1),(200,1),(201,1)}
       189:{1,4,6}:{(169,1),(170,1),(201,1)}
       190:{2,4,5}:{(171,1),(172,1),(179,1)}
       191:{1,2,4,7}:{(173,1),(174,1),(175,1),(178,1),(202,1)}
       192:{2,3,5,7}:{(174,1),(176,1),(179,1),(200,1),(202,1),(203,1)}
       193:{1,3,5,7}:{(175,1),(176,1),(180,1),(181,1),(202,1),(204,1)}
       194:{3,6}:{(176,1),(177,1)}
       195:{1,2,5}:{(178,1),(179,1),(180,1)}
       196:{1,4,6}:{(181,1),(182,1),(183,1),(204,1)}
       197:{2,4,6,7}:{(184,1),(185,1),(187,1),(205,1),(207,1)}
       198:{3,5,7}:{(185,1),(186,1),(205,1),(206,1)}
       199:{1,4,5,6}:{(186,1),(189,1),(206,1)}
       200:{2,4,5,7}:{(187,1),(188,1),(190,1),(192,1),(205,1),(207,1)}
       201:{3,4,6}:{(188,1),(189,1),(194,1),(206,1),(207,1)}
       202:{1,2,5,7}:{(191,1),(192,1),(193,1),(195,1),(208,1)}
       203:{2,3,6}:{(192,1),(194,1),(207,1),(208,1)}
       204:{1,3,6}:{(193,1),(194,1),(196,1),(208,1)}
       205:{2,5,7}:{(197,1),(198,1),(209,1)}
       206:{3,5,6}:{(198,1),(199,1),(201,1),(209,1)}
       207:{2,4,6}:{(200,1),(201,1),(203,1),(209,1)}
       208:{1,2,6}:{(202,1),(203,1),(204,1)}
       209:{2,5,6}:{(205,1),(206,1),(207,1)}

1950 :   0:{1,4,5,6,7}:{(1,1),(12,1),(205,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(6,1),(208,1)}
         2:{3,4,5,6}:{(7,1),(8,1),(9,1),(35,1),(184,1),(204,1)}
         3:{1,3,4,5,7}:{(10,1),(11,1),(32,1),(82,1),(83,1),(89,1),(143,1),(150,1),(185,1),(188,1)}
         4:{3,4,6,7}:{(1,1),(7,1),(12,1),(13,1),(43,1),(204,1)}
         5:{1,3,5,6,7}:{(1,1),(12,1),(14,1),(32,1),(43,1),(189,1)}
         6:{2,5,6,7}:{(1,1),(13,1),(209,1)}
         7:{3,4,5,7}:{(2,1),(4,1),(18,1),(19,1),(54,1)}
         8:{1,4,5,6}:{(2,1),(17,1),(18,1),(172,1),(199,1)}
         9:{2,4,5,6}:{(2,1),(16,1),(19,1),(192,1),(207,1)}
        10:{1,3,4,6}:{(3,1),(17,1),(24,1),(55,1),(168,1),(197,1),(199,1)}
        11:{1,2,4,5,7}:{(3,1),(24,1),(25,1),(52,1),(62,1),(113,1),(114,1),(123,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(18,1),(199,1)}
        13:{2,4,6,7}:{(4,1),(6,1),(19,1),(22,1),(207,1)}
        14:{1,2,5,6,7}:{(5,1),(6,1),(26,1),(27,1),(52,1),(124,1),(174,1)}
        15:{2,3,4,5}:{(28,1),(29,1),(83,1),(131,1),(179,1)}
        16:{2,3,5,6}:{(9,1),(28,1),(30,1),(31,1),(35,1),(179,1),(202,1)}
        17:{1,3,5,6}:{(8,1),(10,1),(32,1),(33,1),(35,1),(150,1),(152,1)}
        18:{1,4,5,7}:{(7,1),(8,1),(12,1),(32,1)}
        19:{2,4,5,7}:{(7,1),(9,1),(13,1),(30,1)}
        20:{1,2,4,5,6}:{(8,1),(9,1),(31,1),(33,1),(34,1),(35,1),(79,1),(81,1),(96,1),(142,1),(152,1),(186,1)}
        21:{2,3,4,5,7}:{(36,1),(37,1),(42,1),(85,1),(94,1),(144,1),(183,1),(184,1),(185,1),(201,1)}
        22:{2,3,6,7}:{(13,1),(30,1),(39,1),(43,1),(202,1)}
        23:{1,3,4,6,7}:{(10,1),(12,1),(32,1),(40,1),(43,1),(82,1),(92,1)}
        24:{1,2,4,6}:{(10,1),(11,1),(33,1),(41,1),(81,1)}
        25:{2,3,5,7}:{(11,1),(41,1),(42,1),(94,1),(185,1)}
        26:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(34,1),(39,1),(43,1),(44,1),(92,1),(186,1)}
        27:{2,3,5,6,7}:{(14,1),(43,1),(44,1),(80,1),(95,1),(153,1)}
        28:{2,3,4,6}:{(15,1),(16,1),(46,1),(47,1),(55,1)}
        29:{1,2,4,5}:{(15,1),(47,1),(48,1),(102,1),(112,1),(160,1)}
        30:{2,3,5,7}:{(16,1),(19,1),(22,1),(46,1),(50,1),(54,1)}
        31:{1,2,5,6}:{(16,1),(47,1),(50,1),(51,1),(160,1),(194,1)}
        32:{1,3,5,7}:{(17,1),(18,1),(23,1),(52,1),(54,1),(124,1)}
        33:{1,2,5,6}:{(17,1),(24,1),(52,1),(53,1),(123,1)}
        34:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(26,1),(50,1),(52,1),(54,1),(67,1),(111,1),(113,1),(124,1)}
        35:{3,5,6}:{(20,1),(54,1),(55,1),(166,1),(197,1)}
        36:{2,3,4,6}:{(21,1),(57,1),(59,1),(164,1),(169,1),(197,1),(207,1)}
        37:{1,2,4,5,7}:{(21,1),(59,1),(60,1),(62,1),(118,1),(123,1),(171,1),(172,1)}
        38:{1,2,3,5,7}:{(25,1),(60,1),(61,1),(62,1),(123,1)}
        39:{1,2,6,7}:{(22,1),(50,1),(63,1),(194,1)}
        40:{1,2,4,6,7}:{(23,1),(24,1),(52,1),(64,1),(113,1)}
        41:{2,3,6}:{(24,1),(25,1),(197,1)}
        42:{2,3,4,7}:{(25,1),(62,1),(65,1),(113,1),(165,1)}
        43:{3,6,7}:{(26,1),(54,1),(197,1)}
        44:{2,4,6,7}:{(27,1),(66,1),(67,1),(113,1),(169,1)}
        45:{1,3,4,5}:{(68,1),(69,1),(73,1),(135,1),(184,1)}
        46:{2,3,4,7}:{(28,1),(30,1),(71,1),(82,1)}
        47:{1,2,4,6}:{(28,1),(29,1),(31,1),(71,1),(72,1),(79,1)}
        48:{1,3,5}:{(29,1),(72,1),(73,1)}
        49:{3,4,5,6}:{(74,1),(75,1),(76,1),(83,1),(139,1),(145,1)}
        50:{1,2,5,7}:{(30,1),(31,1),(39,1),(71,1),(78,1)}
        51:{1,3,5,6}:{(31,1),(35,1),(72,1),(78,1),(79,1),(135,1),(152,1),(181,1)}
        52:{1,2,5,7}:{(32,1),(33,1),(40,1),(80,1)}
        53:{2,3,5,6}:{(33,1),(35,1),(41,1),(80,1),(81,1),(94,1)}
        54:{3,5,7}:{(34,1),(35,1),(43,1),(82,1)}
        55:{3,4,6}:{(35,1),(79,1),(81,1),(82,1),(83,1)}
        56:{2,4,5,6,7}:{(84,1),(96,1),(137,1)}
        57:{2,3,5,6}:{(36,1),(76,1),(85,1),(86,1),(94,1),(139,1),(209,1)}
        58:{2,3,4,6,7}:{(36,1),(85,1),(87,1),(137,1),(182,1),(183,1),(200,1)}
        59:{1,2,4,6}:{(36,1),(37,1),(86,1),(88,1),(148,1)}
        60:{1,3,5,7}:{(37,1),(88,1),(89,1),(150,1),(185,1)}
        61:{1,2,3,6}:{(38,1),(41,1),(88,1),(91,1)}
        62:{1,2,4,7}:{(38,1),(42,1),(89,1),(91,1)}
        63:{1,3,6,7}:{(39,1),(43,1),(78,1),(92,1),(181,1)}
        64:{2,3,6,7}:{(40,1),(41,1),(43,1),(80,1)}
        65:{2,3,4,6}:{(41,1),(42,1),(81,1),(91,1),(94,1),(140,1)}
        66:{3,4,6,7}:{(43,1),(44,1),(82,1),(92,1),(95,1),(145,1)}
        67:{2,4,5,7}:{(44,1),(95,1),(96,1)}
        68:{1,3,4,6}:{(45,1),(97,1),(98,1),(99,1),(164,1)}
        69:{1,2,4,5}:{(45,1),(99,1),(100,1),(102,1),(160,1),(192,1)}
        70:{1,2,3,5}:{(48,1),(100,1),(101,1),(102,1),(160,1)}
        71:{1,2,4,7}:{(46,1),(47,1),(50,1),(103,1),(111,1)}
        72:{1,3,6}:{(47,1),(48,1),(103,1)}
        73:{1,3,4}:{(48,1),(102,1)}
        74:{3,4,5,7}:{(49,1),(105,1),(106,1),(107,1),(163,1)}
        75:{1,4,5,6}:{(49,1),(97,1),(106,1),(112,1),(168,1)}
        76:{2,4,5,6}:{(49,1),(57,1),(107,1),(114,1),(169,1)}
        77:{1,2,3,5,6}:{(51,1),(53,1),(61,1),(101,1),(109,1),(110,1),(119,1),(123,1),(156,1),(160,1),(166,1),(174,1),(194,1),(197,1)}
        78:{1,3,5,7}:{(50,1),(51,1),(54,1),(63,1),(103,1),(111,1),(124,1)}
        79:{1,4,6}:{(51,1),(55,1),(111,1),(112,1)}
        80:{2,3,5,7}:{(52,1),(53,1),(54,1),(64,1),(113,1)}
        81:{2,4,6}:{(53,1),(55,1),(113,1),(114,1)}
        82:{3,4,7}:{(54,1),(55,1),(111,1),(113,1)}
        83:{3,4,5}:{(55,1),(112,1),(114,1),(166,1)}
        84:{3,5,6,7}:{(56,1),(105,1),(116,1),(126,1)}
        85:{2,3,5,7}:{(57,1),(58,1),(107,1),(118,1),(163,1),(206,1)}
        86:{1,2,5,6}:{(57,1),(59,1),(118,1),(119,1),(123,1)}
        87:{1,2,4,6,7}:{(58,1),(59,1),(118,1),(120,1),(171,1)}
        88:{1,3,6}:{(59,1),(60,1),(197,1)}
        89:{1,3,4,7}:{(60,1),(62,1),(121,1),(165,1),(171,1)}
        90:{1,2,3,6,7}:{(61,1),(63,1),(64,1),(109,1),(120,1),(122,1),(190,1),(194,1),(197,1)}
        91:{1,2,4,6}:{(61,1),(62,1),(65,1),(121,1),(123,1)}
        92:{1,4,6,7}:{(63,1),(66,1),(111,1),(124,1),(168,1)}
        93:{2,3,4,6,7}:{(64,1),(65,1),(66,1),(113,1),(122,1),(125,1),(165,1),(169,1),(197,1)}
        94:{2,3,5}:{(65,1),(114,1),(123,1),(166,1)}
        95:{3,5,7}:{(66,1),(67,1),(124,1),(126,1)}
        96:{2,4,5,6}:{(67,1),(126,1),(169,1)}
        97:{1,3,5,6}:{(68,1),(75,1),(127,1),(128,1),(135,1),(139,1),(181,1)}
        98:{1,3,4,7}:{(68,1),(127,1),(129,1),(183,1)}
        99:{1,2,4,6}:{(68,1),(69,1),(128,1),(129,1),(130,1),(177,1)}
       100:{2,3,5}:{(69,1),(130,1),(131,1)}
       101:{1,2,3,6}:{(70,1),(72,1),(130,1),(132,1),(133,1)}
       102:{1,2,4}:{(70,1),(73,1),(131,1)}
       103:{1,3,7}:{(71,1),(72,1)}
       104:{1,3,4,6}:{(72,1),(73,1),(79,1),(133,1),(134,1),(135,1),(140,1),(181,1)}
       105:{3,4,6,7}:{(74,1),(84,1),(136,1),(137,1),(145,1),(182,1)}
       106:{1,4,5,7}:{(74,1),(75,1),(127,1),(136,1)}
       107:{2,4,5,7}:{(74,1),(76,1),(85,1),(137,1)}
       108:{1,2,4,5,6}:{(75,1),(76,1),(86,1),(128,1),(138,1),(139,1),(142,1),(148,1),(177,1),(186,1),(205,1),(209,1)}
       109:{1,2,3,5,7}:{(77,1),(78,1),(80,1),(90,1),(132,1),(141,1),(147,1),(151,1),(176,1),(180,1),(185,1)}
       110:{1,2,4,6}:{(77,1),(79,1),(81,1),(140,1),(141,1),(142,1),(148,1),(177,1)}
       111:{1,4,7}:{(78,1),(79,1),(82,1)}
       112:{1,4,5}:{(79,1),(83,1),(135,1)}
       113:{2,4,7}:{(80,1),(81,1),(82,1)}
       114:{2,4,5}:{(81,1),(83,1),(94,1)}
       115:{3,4,5,7}:{(82,1),(83,1),(95,1),(143,1),(144,1),(145,1),(185,1)}
       116:{1,5,6,7}:{(84,1),(136,1),(152,1)}
       117:{2,3,5,6,7}:{(84,1),(85,1),(137,1),(146,1),(153,1),(182,1)}
       118:{1,2,5,7}:{(85,1),(86,1),(87,1),(147,1)}
       119:{1,3,5,6}:{(86,1),(88,1),(139,1),(147,1),(148,1),(150,1)}
       120:{1,3,6,7}:{(87,1),(88,1),(147,1),(182,1)}
       121:{1,3,4,6}:{(88,1),(89,1),(91,1),(140,1),(148,1),(150,1)}
       122:{1,2,4,6,7}:{(90,1),(91,1),(92,1),(93,1),(141,1),(149,1),(151,1),(186,1),(200,1)}
       123:{1,2,5}:{(91,1),(94,1),(150,1)}
       124:{1,5,7}:{(92,1),(95,1),(152,1)}
       125:{2,3,5,7}:{(93,1),(94,1),(95,1),(144,1),(151,1),(153,1),(185,1)}
       126:{3,5,6}:{(95,1),(96,1),(145,1),(152,1)}
       127:{1,3,5,7}:{(97,1),(98,1),(106,1),(154,1),(155,1),(163,1)}
       128:{1,2,5,6}:{(97,1),(99,1),(155,1),(156,1),(160,1),(194,1)}
       129:{1,2,4,7}:{(98,1),(99,1),(155,1),(157,1),(191,1)}
       130:{2,3,6}:{(99,1),(100,1),(157,1)}
       131:{2,3,4}:{(100,1),(102,1)}
       132:{1,2,3,7}:{(101,1),(103,1),(157,1),(159,1)}
       133:{1,2,4,6}:{(101,1),(102,1),(104,1),(158,1),(159,1),(160,1),(194,1)}
       134:{1,3,4,7}:{(103,1),(104,1),(111,1),(159,1),(161,1),(165,1)}
       135:{1,3,5}:{(104,1),(112,1),(160,1),(166,1)}
       136:{1,4,6,7}:{(105,1),(106,1),(116,1),(154,1),(168,1)}
       137:{2,4,6,7}:{(105,1),(107,1),(117,1),(169,1)}
       138:{1,2,4,5,7}:{(106,1),(107,1),(108,1),(118,1),(155,1),(162,1),(163,1),(171,1),(191,1),(198,1),(206,1)}
       139:{3,5,6}:{(108,1),(163,1),(164,1),(166,1),(197,1)}
       140:{3,4,6}:{(110,1),(165,1),(166,1),(197,1)}
       141:{1,2,4,7}:{(109,1),(110,1),(111,1),(113,1),(165,1),(171,1),(191,1)}
       142:{1,2,4,5}:{(110,1),(112,1),(114,1),(123,1),(160,1),(166,1),(172,1),(192,1)}
       143:{1,4,5,7}:{(111,1),(112,1),(115,1),(124,1),(161,1),(168,1)}
       144:{2,4,5,7}:{(113,1),(114,1),(115,1),(125,1),(169,1)}
       145:{3,4,6}:{(115,1),(126,1),(168,1),(169,1),(197,1)}
       146:{1,2,5,6,7}:{(116,1),(117,1),(118,1),(162,1),(170,1),(174,1),(206,1)}
       147:{1,3,5,7}:{(118,1),(119,1),(120,1),(163,1),(171,1)}
       148:{1,4,6}:{(119,1),(164,1),(171,1),(172,1)}
       149:{1,3,4,6,7}:{(120,1),(121,1),(122,1),(165,1),(171,1),(173,1),(195,1),(197,1),(199,1)}
       150:{1,3,5}:{(121,1),(123,1),(166,1),(172,1)}
       151:{1,2,5,7}:{(122,1),(123,1),(124,1),(125,1),(173,1),(174,1),(206,1)}
       152:{1,5,6}:{(124,1),(126,1),(168,1)}
       153:{2,3,5,6}:{(125,1),(126,1),(169,1),(174,1),(197,1)}
       154:{1,3,6,7}:{(127,1),(136,1),(175,1),(181,1),(182,1)}
       155:{1,2,5,7}:{(127,1),(128,1),(129,1),(175,1),(176,1)}
       156:{2,3,5,6}:{(128,1),(130,1),(139,1),(176,1),(177,1),(179,1),(202,1),(209,1)}
       157:{2,3,7}:{(129,1),(130,1)}
       158:{2,3,4,6}:{(130,1),(131,1),(133,1),(140,1),(177,1),(178,1),(179,1),(202,1)}
       159:{1,2,4,7}:{(132,1),(133,1),(134,1),(178,1),(180,1)}
       160:{1,2,5}:{(133,1),(135,1),(179,1)}
       161:{1,3,5,7}:{(134,1),(135,1),(143,1),(180,1),(181,1),(185,1)}
       162:{1,2,4,6,7}:{(136,1),(137,1),(138,1),(146,1),(175,1),(182,1),(186,1),(187,1),(200,1)}
       163:{3,5,7}:{(138,1),(139,1),(182,1),(183,1)}
       164:{3,4,6}:{(139,1),(148,1),(177,1),(183,1),(184,1)}
       165:{3,4,7}:{(140,1),(141,1),(185,1)}
       166:{3,5}:{(140,1),(142,1)}
       167:{1,2,4,5,7}:{(141,1),(142,1),(143,1),(144,1),(151,1),(180,1),(185,1),(186,1),(188,1),(201,1)}
       168:{1,4,6}:{(143,1),(145,1),(152,1),(181,1)}
       169:{2,4,6}:{(144,1),(145,1),(153,1)}
       170:{1,3,5,6,7}:{(146,1),(147,1),(182,1),(187,1),(189,1),(203,1)}
       171:{1,4,7}:{(147,1),(148,1),(183,1)}
       172:{1,4,5}:{(148,1),(150,1),(184,1)}
       173:{1,3,5,7}:{(149,1),(150,1),(151,1),(185,1),(188,1),(189,1),(203,1)}
       174:{1,2,5,6}:{(151,1),(152,1),(153,1),(186,1),(189,1),(209,1)}
       175:{1,2,6,7}:{(154,1),(155,1),(190,1),(194,1)}
       176:{2,3,5,7}:{(155,1),(156,1),(157,1),(163,1),(190,1),(191,1),(206,1)}
       177:{2,4,6}:{(156,1),(164,1),(191,1),(192,1)}
       178:{2,3,4,7}:{(157,1),(158,1),(159,1),(165,1),(191,1),(193,1)}
       179:{2,3,5}:{(158,1),(160,1),(166,1),(192,1)}
       180:{1,2,5,7}:{(159,1),(160,1),(161,1),(193,1),(194,1)}
       181:{1,3,6}:{(161,1),(168,1),(194,1),(197,1)}
       182:{3,6,7}:{(162,1),(163,1),(197,1)}
       183:{3,4,7}:{(163,1),(164,1),(171,1),(191,1)}
       184:{3,4,5}:{(164,1),(166,1),(172,1),(192,1)}
       185:{3,5,7}:{(165,1),(166,1),(167,1),(197,1)}
       186:{1,2,4,6}:{(167,1),(168,1),(169,1),(174,1),(194,1),(197,1),(199,1),(207,1)}
       187:{1,4,6,7}:{(170,1),(171,1),(195,1),(198,1),(199,1)}
       188:{1,4,5,7}:{(171,1),(172,1),(173,1),(196,1),(199,1)}
       189:{1,3,5,6}:{(173,1),(174,1),(197,1),(199,1),(208,1)}
       190:{2,3,6,7}:{(175,1),(176,1),(182,1),(200,1),(202,1)}
       191:{2,4,7}:{(176,1),(177,1),(183,1)}
       192:{2,4,5}:{(177,1),(179,1),(184,1)}
       193:{2,3,5,7}:{(178,1),(179,1),(180,1),(185,1),(201,1),(202,1)}
       194:{1,2,6}:{(180,1),(181,1),(202,1)}
       195:{3,4,6,7}:{(182,1),(183,1),(187,1),(200,1),(203,1),(204,1)}
       196:{3,4,5,7}:{(183,1),(184,1),(185,1),(188,1),(201,1),(203,1),(204,1)}
       197:{3,6}:{(185,1),(186,1)}
       198:{1,4,5,7}:{(187,1),(203,1),(205,1)}
       199:{1,4,6}:{(188,1),(189,1),(204,1)}
       200:{2,4,6,7}:{(190,1),(191,1),(195,1),(206,1),(207,1)}
       201:{2,4,5,7}:{(191,1),(192,1),(193,1),(196,1),(206,1),(207,1)}
       202:{2,3,6}:{(193,1),(194,1),(197,1),(207,1)}
       203:{3,5,7}:{(195,1),(198,1),(206,1),(208,1)}
       204:{3,4,6}:{(196,1),(197,1),(199,1),(207,1),(208,1)}
       205:{1,4,5,6}:{(198,1),(199,1),(208,1)}
       206:{2,5,7}:{(200,1),(203,1),(209,1)}
       207:{2,4,6}:{(201,1),(202,1),(204,1),(209,1)}
       208:{3,5,6}:{(203,1),(204,1),(205,1),(209,1)}
       209:{2,5,6}:{(206,1),(207,1),(208,1)}

1951 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(21,1),(53,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(34,1),(69,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(24,1),(48,1),(85,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(19,1),(24,1),(47,1),(88,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(20,1),(24,1),(46,1),(87,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(34,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(64,1),(106,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(63,1),(105,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(32,1),(33,1),(108,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(45,1),(85,1),(158,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(17,1),(19,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(18,1),(20,1)}
        12:{1,3,4,6,7}:{(6,1),(19,1),(22,1),(24,1),(26,1),(48,1)}
        13:{2,3,4,6,7}:{(7,1),(20,1),(23,1),(24,1),(41,1),(48,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(21,1),(24,1),(128,1)}
        15:{1,2,3,5,6,7}:{(8,1),(24,1),(25,1),(46,1),(47,1),(49,1),(52,1),(78,1),(86,1),(87,1),(88,1),(131,1),(161,1),(163,1),(172,1)}
        16:{1,3,4,5,7}:{(19,1),(26,1),(27,1),(48,1),(81,1),(84,1),(92,1),(127,1),(132,1)}
        17:{1,4,5,6}:{(9,1),(10,1),(29,1),(106,1),(149,1)}
        18:{2,4,5,6}:{(9,1),(11,1),(30,1),(105,1),(164,1)}
        19:{1,3,5,7}:{(10,1),(12,1),(29,1),(32,1),(34,1)}
        20:{2,3,5,7}:{(11,1),(13,1),(30,1),(33,1),(34,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(31,1),(32,1),(33,1),(34,1),(63,1),(64,1)}
        22:{1,2,4,6,7}:{(12,1),(32,1),(35,1),(39,1),(63,1)}
        23:{1,2,4,6,7}:{(13,1),(33,1),(36,1),(57,1),(64,1)}
        24:{3,6,7}:{(14,1),(34,1),(147,1)}
        25:{1,2,4,6,7}:{(15,1),(37,1),(38,1),(63,1),(64,1),(99,1),(105,1),(106,1),(170,1),(174,1)}
        26:{1,3,4,6}:{(16,1),(29,1),(39,1),(61,1),(106,1),(147,1)}
        27:{1,2,4,5,7}:{(16,1),(32,1),(39,1),(40,1),(63,1),(73,1),(100,1),(112,1)}
        28:{2,3,4,5,7}:{(20,1),(41,1),(42,1),(48,1),(81,1),(83,1),(119,1),(127,1),(153,1)}
        29:{1,3,5,6}:{(17,1),(19,1),(26,1),(43,1),(45,1),(132,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(41,1),(44,1),(45,1),(153,1)}
        31:{1,2,4,5,6}:{(17,1),(18,1),(21,1),(43,1),(44,1),(45,1),(79,1),(80,1),(123,1),(128,1)}
        32:{1,2,5,7}:{(19,1),(22,1),(43,1),(46,1)}
        33:{1,2,5,7}:{(20,1),(23,1),(44,1),(47,1)}
        34:{3,5,7}:{(21,1),(24,1),(45,1),(48,1)}
        35:{2,3,6,7}:{(22,1),(24,1),(46,1),(54,1)}
        36:{1,3,6,7}:{(23,1),(24,1),(47,1),(75,1)}
        37:{3,4,6,7}:{(24,1),(25,1),(48,1),(52,1),(85,1),(122,1),(161,1),(173,1)}
        38:{1,2,4,5,7}:{(25,1),(52,1),(53,1),(83,1),(84,1),(86,1),(123,1)}
        39:{1,2,4,6}:{(26,1),(27,1),(43,1),(54,1),(79,1)}
        40:{2,3,5,7}:{(27,1),(54,1),(56,1),(91,1),(127,1)}
        41:{2,3,4,6}:{(28,1),(30,1),(57,1),(61,1),(105,1),(147,1)}
        42:{1,2,4,5,7}:{(28,1),(33,1),(57,1),(58,1),(64,1),(97,1),(101,1),(138,1)}
        43:{1,2,5,6}:{(29,1),(32,1),(39,1),(59,1),(112,1)}
        44:{1,2,5,6}:{(30,1),(33,1),(57,1),(60,1),(138,1)}
        45:{3,5,6}:{(31,1),(34,1),(61,1),(143,1),(147,1)}
        46:{2,3,5,7}:{(32,1),(34,1),(35,1),(59,1),(63,1)}
        47:{1,3,5,7}:{(33,1),(34,1),(36,1),(60,1),(64,1)}
        48:{3,4,7}:{(34,1),(61,1),(63,1),(64,1)}
        49:{1,2,3,6,7}:{(35,1),(36,1),(62,1),(66,1),(71,1),(95,1),(147,1),(152,1),(167,1)}
        50:{2,3,4,6,7}:{(35,1),(37,1),(63,1),(66,1),(67,1),(72,1),(103,1),(105,1),(137,1),(147,1),(167,1),(174,1)}
        51:{1,3,4,6,7}:{(36,1),(37,1),(64,1),(66,1),(68,1),(96,1),(103,1),(106,1),(111,1),(147,1),(152,1),(170,1)}
        52:{3,5,7}:{(37,1),(38,1),(69,1),(143,1)}
        53:{1,2,4,5,6}:{(38,1),(69,1),(105,1),(106,1),(108,1)}
        54:{2,3,6}:{(39,1),(40,1),(147,1)}
        55:{1,2,3,5,7}:{(40,1),(71,1),(73,1),(112,1),(114,1)}
        56:{2,3,4,7}:{(40,1),(63,1),(72,1),(73,1),(103,1)}
        57:{1,2,4,6}:{(41,1),(42,1),(44,1),(75,1),(80,1)}
        58:{1,3,5,7}:{(42,1),(75,1),(77,1),(118,1),(127,1)}
        59:{2,3,5,6}:{(43,1),(45,1),(46,1),(54,1),(79,1),(91,1)}
        60:{1,3,5,6}:{(44,1),(45,1),(47,1),(75,1),(80,1),(118,1)}
        61:{3,4,6}:{(45,1),(48,1),(79,1),(80,1),(81,1)}
        62:{1,2,3,5,7}:{(46,1),(47,1),(49,1),(78,1),(82,1),(86,1),(127,1),(163,1),(172,1)}
        63:{2,4,7}:{(46,1),(48,1),(79,1)}
        64:{1,4,7}:{(47,1),(48,1),(80,1)}
        65:{3,4,5,7}:{(48,1),(52,1),(81,1),(83,1),(84,1),(85,1),(127,1),(158,1),(173,1)}
        66:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(82,1),(86,1),(90,1),(117,1),(128,1)}
        67:{2,3,5,7}:{(50,1),(52,1),(83,1),(86,1),(87,1),(91,1),(127,1),(153,1)}
        68:{1,3,5,7}:{(51,1),(52,1),(84,1),(86,1),(88,1),(118,1),(127,1),(132,1)}
        69:{3,5,6}:{(52,1),(53,1),(85,1)}
        70:{1,2,4,5,6,7}:{(53,1),(89,1),(129,1),(130,1),(131,1),(160,1)}
        71:{1,2,3,6}:{(54,1),(55,1),(90,1),(135,1)}
        72:{2,3,4,6}:{(54,1),(56,1),(79,1),(90,1),(91,1),(122,1)}
        73:{1,2,4,7}:{(55,1),(56,1),(90,1),(92,1)}
        74:{2,3,4,5,7}:{(56,1),(83,1),(91,1),(93,1),(94,1),(127,1),(134,1),(158,1),(173,1)}
        75:{1,3,6}:{(57,1),(58,1),(147,1)}
        76:{1,2,3,5,7}:{(58,1),(95,1),(97,1),(138,1),(140,1)}
        77:{1,3,4,7}:{(58,1),(64,1),(96,1),(97,1),(103,1)}
        78:{1,2,3,5,6}:{(59,1),(60,1),(62,1),(71,1),(95,1),(99,1),(108,1),(112,1),(138,1),(143,1),(147,1),(150,1),(165,1)}
        79:{2,4,6}:{(59,1),(61,1),(63,1),(100,1)}
        80:{1,4,6}:{(60,1),(61,1),(64,1),(101,1)}
        81:{3,4,5}:{(61,1),(100,1),(101,1),(143,1)}
        82:{1,2,4,7}:{(62,1),(63,1),(64,1),(99,1),(103,1),(170,1),(174,1)}
        83:{2,4,5,7}:{(63,1),(65,1),(67,1),(100,1),(105,1),(164,1),(174,1)}
        84:{1,4,5,7}:{(64,1),(65,1),(68,1),(101,1),(106,1),(149,1),(170,1)}
        85:{3,4,6}:{(65,1),(69,1),(105,1),(106,1),(147,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(108,1),(112,1),(138,1)}
        87:{2,3,5,6}:{(67,1),(69,1),(105,1),(108,1),(147,1)}
        88:{1,3,5,6}:{(68,1),(69,1),(106,1),(108,1),(147,1)}
        89:{3,5,6,7}:{(69,1),(70,1),(107,1),(169,1)}
        90:{1,2,4,6}:{(71,1),(72,1),(73,1),(111,1),(112,1)}
        91:{2,3,5}:{(72,1),(100,1),(112,1),(143,1)}
        92:{1,3,4,7}:{(73,1),(103,1),(111,1),(114,1),(170,1)}
        93:{1,2,4,5,7}:{(73,1),(74,1),(112,1),(114,1),(115,1),(149,1),(151,1),(170,1)}
        94:{2,3,4,6}:{(74,1),(105,1),(113,1),(115,1),(147,1),(168,1)}
        95:{1,2,3,6}:{(75,1),(76,1),(117,1),(156,1)}
        96:{1,3,4,6}:{(75,1),(77,1),(80,1),(117,1),(118,1),(122,1)}
        97:{1,2,4,7}:{(76,1),(77,1),(117,1),(119,1)}
        98:{1,3,4,5,7}:{(77,1),(84,1),(118,1),(120,1),(121,1),(127,1),(155,1),(158,1),(173,1)}
        99:{1,2,4,6}:{(78,1),(79,1),(80,1),(82,1),(122,1),(123,1),(162,1),(171,1)}
       100:{2,4,5}:{(79,1),(81,1),(91,1)}
       101:{1,4,5}:{(80,1),(81,1),(118,1)}
       102:{3,4,5,6}:{(81,1),(85,1),(124,1),(125,1),(126,1),(159,1)}
       103:{3,4,7}:{(82,1),(122,1),(127,1)}
       104:{1,2,4,5,7}:{(82,1),(83,1),(84,1),(86,1),(123,1),(127,1),(128,1)}
       105:{2,4,6}:{(83,1),(85,1),(87,1)}
       106:{1,4,6}:{(84,1),(85,1),(88,1)}
       107:{3,4,6,7}:{(85,1),(89,1),(126,1),(129,1),(130,1),(161,1),(173,1)}
       108:{1,2,5,6}:{(86,1),(87,1),(88,1),(128,1)}
       109:{2,3,5,6,7}:{(87,1),(89,1),(129,1),(131,1),(134,1),(161,1),(172,1)}
       110:{1,3,5,6,7}:{(88,1),(89,1),(130,1),(131,1),(155,1),(161,1),(163,1)}
       111:{1,3,4,6}:{(90,1),(92,1),(122,1),(132,1),(135,1),(162,1)}
       112:{1,2,5}:{(90,1),(91,1),(132,1)}
       113:{2,3,5,6}:{(91,1),(94,1),(124,1),(133,1),(134,1),(159,1)}
       114:{1,3,5,7}:{(92,1),(93,1),(127,1),(132,1),(135,1)}
       115:{1,2,4,6}:{(93,1),(94,1),(133,1),(135,1),(162,1)}
       116:{2,3,4,6,7}:{(94,1),(129,1),(134,1),(136,1),(161,1),(173,1)}
       117:{1,2,4,6}:{(95,1),(96,1),(97,1),(137,1),(138,1)}
       118:{1,3,5}:{(96,1),(101,1),(138,1),(143,1)}
       119:{2,3,4,7}:{(97,1),(103,1),(137,1),(140,1),(174,1)}
       120:{1,2,4,5,7}:{(97,1),(98,1),(138,1),(140,1),(141,1),(164,1),(166,1),(174,1)}
       121:{1,3,4,6}:{(98,1),(106,1),(139,1),(141,1),(147,1),(168,1)}
       122:{3,4,6}:{(99,1),(103,1),(143,1),(147,1)}
       123:{1,2,4,5}:{(99,1),(100,1),(101,1),(112,1),(138,1),(143,1),(149,1),(164,1)}
       124:{2,4,5,6}:{(100,1),(102,1),(105,1),(113,1),(145,1)}
       125:{1,4,5,6}:{(101,1),(102,1),(106,1),(139,1),(146,1)}
       126:{3,4,5,7}:{(102,1),(107,1),(145,1),(146,1),(169,1)}
       127:{3,5,7}:{(103,1),(104,1),(143,1),(147,1)}
       128:{1,2,4,6}:{(104,1),(105,1),(106,1),(108,1),(147,1)}
       129:{2,4,6,7}:{(105,1),(107,1),(109,1),(145,1),(174,1)}
       130:{1,4,6,7}:{(106,1),(107,1),(110,1),(146,1),(170,1)}
       131:{1,2,5,6,7}:{(108,1),(109,1),(110,1),(148,1),(151,1),(166,1)}
       132:{1,3,5}:{(111,1),(112,1),(143,1),(149,1)}
       133:{1,2,5,6}:{(112,1),(113,1),(115,1),(150,1),(151,1)}
       134:{2,3,5,7}:{(113,1),(116,1),(145,1),(151,1),(169,1)}
       135:{1,3,6}:{(114,1),(115,1),(147,1)}
       136:{1,2,4,6,7}:{(115,1),(116,1),(151,1),(152,1),(170,1)}
       137:{2,3,4,6}:{(117,1),(119,1),(122,1),(153,1),(156,1),(171,1)}
       138:{1,2,5}:{(117,1),(118,1),(153,1)}
       139:{1,3,5,6}:{(118,1),(121,1),(125,1),(154,1),(155,1),(159,1)}
       140:{2,3,5,7}:{(119,1),(120,1),(127,1),(153,1),(156,1)}
       141:{1,2,4,6}:{(120,1),(121,1),(154,1),(156,1),(171,1)}
       142:{1,3,4,6,7}:{(121,1),(130,1),(155,1),(157,1),(161,1),(173,1)}
       143:{3,5}:{(122,1),(123,1)}
       144:{1,2,4,5,6}:{(123,1),(124,1),(125,1),(128,1),(133,1),(154,1),(159,1),(160,1),(162,1),(171,1)}
       145:{2,4,5,7}:{(124,1),(126,1),(129,1),(134,1)}
       146:{1,4,5,7}:{(125,1),(126,1),(130,1),(155,1)}
       147:{3,6}:{(127,1),(128,1)}
       148:{1,2,4,6,7}:{(128,1),(129,1),(130,1),(131,1),(160,1),(161,1)}
       149:{1,4,5}:{(132,1),(158,1),(162,1)}
       150:{1,3,5,6}:{(132,1),(133,1),(135,1),(159,1),(162,1),(163,1)}
       151:{1,2,5,7}:{(133,1),(134,1),(136,1),(163,1)}
       152:{1,3,6,7}:{(135,1),(136,1),(161,1),(163,1)}
       153:{2,3,5}:{(137,1),(138,1),(143,1),(164,1)}
       154:{1,2,5,6}:{(138,1),(139,1),(141,1),(165,1),(166,1)}
       155:{1,3,5,7}:{(139,1),(142,1),(146,1),(166,1),(169,1)}
       156:{2,3,6}:{(140,1),(141,1),(147,1)}
       157:{1,2,4,6,7}:{(141,1),(142,1),(166,1),(167,1),(174,1)}
       158:{3,4,5}:{(143,1),(149,1),(164,1),(168,1)}
       159:{3,5,6}:{(143,1),(144,1),(147,1),(168,1),(169,1)}
       160:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(148,1),(151,1),(166,1),(169,1),(170,1),(174,1)}
       161:{3,6,7}:{(147,1),(148,1),(169,1)}
       162:{1,4,6}:{(149,1),(150,1),(168,1),(170,1)}
       163:{1,3,5,7}:{(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:{1,2,5,7}:{(154,1),(155,1),(157,1),(172,1)}
       167:{2,3,6,7}:{(156,1),(157,1),(161,1),(172,1)}
       168:{3,4,6}:{(158,1),(159,1),(162,1),(171,1),(173,1)}
       169:{3,5,7}:{(159,1),(160,1),(161,1),(173,1)}
       170:{1,4,7}:{(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:{3,4,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,4,7}:{(171,1),(172,1),(173,1)}

1952 :   0:{3,4,5,6,7}:{(1,1),(2,1),(14,1),(92,1)}
         1:{1,4,5,6,7}:{(0,1),(4,1),(97,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(99,1)}
         3:{2,3,4,5,6}:{(7,1),(8,1),(49,1),(52,1),(100,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(14,1),(88,1)}
         5:{2,3,5,6,7}:{(2,1),(11,1),(13,1),(14,1),(90,1)}
         6:{1,2,4,5,6,7}:{(1,1),(2,1),(12,1),(13,1),(14,1),(32,1),(33,1),(63,1)}
         7:{2,3,4,5,7}:{(3,1),(11,1),(15,1),(34,1),(66,1),(90,1)}
         8:{1,2,4,5,6}:{(3,1),(15,1),(16,1),(37,1),(65,1),(91,1)}
         9:{1,3,4,5,6}:{(17,1),(18,1),(49,1),(72,1),(98,1)}
        10:{1,3,4,6,7}:{(4,1),(17,1),(19,1),(23,1)}
        11:{2,3,4,6,7}:{(5,1),(7,1),(20,1),(23,1)}
        12:{1,2,5,6,7}:{(4,1),(19,1),(21,1),(75,1)}
        13:{1,2,5,6,7}:{(5,1),(20,1),(22,1),(78,1)}
        14:{3,5,6,7}:{(6,1),(23,1),(80,1)}
        15:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(24,1),(48,1),(50,1),(78,1)}
        16:{1,3,5,6}:{(8,1),(24,1),(26,1)}
        17:{1,3,4,5,7}:{(9,1),(10,1),(27,1),(34,1),(84,1),(88,1)}
        18:{1,2,4,5,6}:{(9,1),(27,1),(28,1),(56,1),(64,1),(89,1)}
        19:{1,2,4,6,7}:{(10,1),(12,1),(27,1),(29,1),(32,1)}
        20:{1,2,4,6,7}:{(11,1),(13,1),(15,1),(30,1),(33,1)}
        21:{2,3,5,6,7}:{(12,1),(14,1),(29,1),(32,1),(59,1)}
        22:{1,3,5,6,7}:{(13,1),(14,1),(30,1),(33,1),(61,1)}
        23:{3,4,6,7}:{(14,1),(32,1),(33,1),(34,1)}
        24:{1,3,5,7}:{(15,1),(16,1),(30,1),(36,1)}
        25:{1,2,3,5,6}:{(16,1),(35,1),(37,1),(69,1),(91,1),(94,1)}
        26:{1,3,4,6}:{(16,1),(36,1),(37,1),(38,1)}
        27:{1,2,4,5,7}:{(17,1),(18,1),(19,1),(39,1),(47,1),(70,1),(75,1)}
        28:{2,3,5,6}:{(18,1),(39,1),(41,1)}
        29:{2,3,6,7}:{(19,1),(39,1)}
        30:{1,3,6,7}:{(20,1),(24,1)}
        31:{1,2,3,5,6,7}:{(21,1),(22,1),(42,1),(44,1),(46,1),(75,1),(78,1),(80,1),(98,1),(100,1)}
        32:{2,4,6,7}:{(21,1),(23,1),(47,1)}
        33:{1,4,6,7}:{(22,1),(23,1),(48,1)}
        34:{3,4,5,7}:{(23,1),(47,1),(48,1),(49,1),(80,1)}
        35:{1,2,3,5,7}:{(24,1),(25,1),(44,1),(50,1),(78,1),(82,1)}
        36:{1,3,4,7}:{(24,1),(26,1),(50,1)}
        37:{1,2,4,6}:{(25,1),(26,1),(50,1),(52,1),(53,1)}
        38:{1,3,4,5}:{(26,1),(53,1)}
        39:{2,3,5,7}:{(27,1),(28,1),(29,1),(55,1)}
        40:{1,2,3,5,6}:{(28,1),(54,1),(56,1),(87,1),(89,1),(102,1)}
        41:{2,3,4,6}:{(28,1),(55,1),(56,1),(57,1)}
        42:{1,2,3,6,7}:{(29,1),(54,1),(58,1),(102,1)}
        43:{2,3,4,6,7}:{(29,1),(32,1),(55,1),(58,1),(59,1),(62,1),(86,1)}
        44:{1,2,3,6,7}:{(30,1),(35,1),(60,1),(94,1)}
        45:{1,3,4,6,7}:{(30,1),(33,1),(36,1),(60,1),(61,1),(62,1),(68,1)}
        46:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(62,1),(63,1),(103,1),(104,1)}
        47:{2,4,5,7}:{(32,1),(34,1),(59,1),(64,1)}
        48:{1,4,5,7}:{(33,1),(34,1),(61,1),(65,1)}
        49:{3,4,5,6}:{(34,1),(64,1),(65,1),(93,1)}
        50:{1,2,4,7}:{(35,1),(36,1),(37,1),(66,1)}
        51:{1,3,4,5,7}:{(36,1),(38,1),(61,1),(67,1),(68,1),(92,1)}
        52:{2,3,4,6}:{(37,1),(66,1),(69,1),(94,1)}
        53:{1,2,4,5}:{(37,1),(38,1),(69,1)}
        54:{1,2,3,5,7}:{(39,1),(40,1),(42,1),(70,1),(75,1),(95,1)}
        55:{2,3,4,7}:{(39,1),(41,1),(70,1)}
        56:{1,2,4,6}:{(40,1),(41,1),(70,1),(72,1),(73,1)}
        57:{2,3,4,5}:{(41,1),(73,1)}
        58:{1,2,4,6,7}:{(42,1),(43,1),(70,1),(74,1),(75,1),(96,1)}
        59:{2,3,5,7}:{(43,1),(47,1),(75,1),(76,1),(80,1)}
        60:{1,2,4,6,7}:{(44,1),(45,1),(50,1),(77,1),(78,1),(83,1)}
        61:{1,3,5,7}:{(45,1),(48,1),(78,1),(79,1),(80,1)}
        62:{3,4,6,7}:{(46,1),(80,1),(101,1)}
        63:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(75,1),(78,1),(80,1),(81,1),(97,1),(99,1)}
        64:{2,4,5,6}:{(47,1),(49,1),(76,1)}
        65:{1,4,5,6}:{(48,1),(49,1),(79,1)}
        66:{2,3,4,7}:{(50,1),(52,1),(82,1)}
        67:{1,2,4,5,7}:{(50,1),(51,1),(53,1),(78,1),(82,1),(83,1),(99,1)}
        68:{1,3,4,6}:{(51,1),(79,1),(83,1),(101,1)}
        69:{2,3,5}:{(52,1),(53,1)}
        70:{1,2,4,7}:{(54,1),(55,1),(56,1),(84,1)}
        71:{2,3,4,5,7}:{(55,1),(57,1),(59,1),(85,1),(86,1),(92,1)}
        72:{1,3,4,6}:{(56,1),(84,1),(87,1),(102,1)}
        73:{1,2,4,5}:{(56,1),(57,1),(87,1)}
        74:{1,3,4,6,7}:{(58,1),(62,1),(84,1),(88,1),(102,1),(103,1)}
        75:{1,2,5,7}:{(58,1),(59,1),(88,1),(89,1)}
        76:{2,3,5,6}:{(59,1),(64,1),(86,1),(89,1),(93,1)}
        77:{2,3,4,6,7}:{(60,1),(62,1),(66,1),(90,1),(94,1),(104,1)}
        78:{1,2,5,7}:{(60,1),(61,1),(90,1),(91,1)}
        79:{1,3,5,6}:{(61,1),(65,1),(68,1),(91,1),(93,1)}
        80:{3,5,7}:{(62,1),(63,1),(93,1)}
        81:{1,2,4,5,6}:{(63,1),(64,1),(65,1),(89,1),(91,1),(93,1),(103,1),(104,1)}
        82:{2,3,5,7}:{(66,1),(67,1),(69,1),(94,1)}
        83:{1,2,4,6}:{(67,1),(68,1),(91,1),(94,1),(104,1)}
        84:{1,3,4,7}:{(70,1),(72,1),(95,1)}
        85:{1,2,4,5,7}:{(70,1),(71,1),(73,1),(75,1),(95,1),(96,1),(97,1)}
        86:{2,3,4,6}:{(71,1),(76,1),(96,1),(101,1)}
        87:{1,3,5}:{(72,1),(73,1)}
        88:{1,3,5,7}:{(74,1),(75,1),(80,1),(97,1),(98,1)}
        89:{1,2,5,6}:{(75,1),(76,1),(96,1),(98,1)}
        90:{2,3,5,7}:{(77,1),(78,1),(80,1),(99,1),(100,1)}
        91:{1,2,5,6}:{(78,1),(79,1),(83,1),(100,1)}
        92:{3,4,5,7}:{(80,1),(97,1),(99,1),(101,1)}
        93:{3,5,6}:{(80,1),(81,1),(101,1)}
        94:{2,3,6}:{(82,1),(83,1)}
        95:{1,3,5,7}:{(84,1),(85,1),(87,1),(102,1)}
        96:{1,2,4,6}:{(85,1),(86,1),(89,1),(102,1),(103,1)}
        97:{1,4,5,7}:{(88,1),(92,1),(103,1)}
        98:{1,3,5,6}:{(88,1),(89,1),(93,1),(102,1),(103,1)}
        99:{2,4,5,7}:{(90,1),(92,1),(104,1)}
       100:{2,3,5,6}:{(90,1),(91,1),(93,1),(94,1),(104,1)}
       101:{3,4,6}:{(92,1),(93,1),(103,1),(104,1)}
       102:{1,3,6}:{(95,1),(96,1)}
       103:{1,4,6}:{(97,1),(98,1),(101,1)}
       104:{2,4,6}:{(99,1),(100,1),(101,1)}

1953 :   0:{1,2,3,6,7}:{(3,1),(4,1),(48,1),(80,1),(83,1),(84,1),(85,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(42,1),(48,1),(52,1),(84,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(48,1),(54,1),(83,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(29,1),(61,1),(71,1),(72,1),(94,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(30,1),(69,1),(70,1),(90,1),(91,1),(93,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(11,1),(30,1),(60,1),(62,1)}
         6:{1,3,5,7}:{(2,1),(8,1),(12,1),(13,1),(30,1),(59,1),(64,1)}
         7:{1,2,3,5,6}:{(4,1),(14,1),(15,1),(40,1),(48,1),(77,1),(78,1),(79,1),(80,1),(85,1)}
         8:{1,2,5,7}:{(3,1),(5,1),(6,1),(15,1),(79,1),(81,1),(82,1)}
         9:{1,2,4,7}:{(4,1),(14,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(15,1),(19,1),(44,1),(48,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(75,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(15,1),(22,1),(46,1),(48,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(74,1),(95,1)}
        14:{1,2,4,6}:{(7,1),(9,1),(24,1),(25,1),(87,1),(88,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(12,1),(29,1),(63,1),(65,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(11,1),(13,1),(24,1),(29,1),(30,1),(35,1),(38,1),(69,1),(89,1),(101,1)}
        17:{3,4,7}:{(9,1),(25,1),(30,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(28,1),(33,1),(62,1),(66,1),(91,1)}
        19:{2,4,6}:{(10,1),(11,1),(34,1)}
        20:{3,4,5,7}:{(11,1),(30,1),(34,1),(35,1),(56,1),(62,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(28,1),(36,1),(64,1),(66,1),(90,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(30,1),(37,1),(38,1),(56,1),(64,1),(86,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(74,1),(75,1),(79,1)}
        25:{3,4,6}:{(14,1),(17,1),(40,1),(48,1)}
        26:{2,4,5,6}:{(19,1),(43,1),(44,1)}
        27:{1,4,5,6}:{(22,1),(45,1),(46,1)}
        28:{1,2,5,6,7}:{(15,1),(18,1),(21,1),(47,1),(81,1),(82,1),(99,1)}
        29:{1,2,4,6}:{(15,1),(16,1),(19,1),(22,1),(48,1),(53,1),(55,1),(85,1)}
        30:{3,5,7}:{(16,1),(17,1),(40,1),(48,1),(98,1),(104,1)}
        31:{1,3,4,7}:{(17,1),(41,1),(49,1),(51,1),(95,1),(104,1)}
        32:{2,3,4,7}:{(17,1),(42,1),(50,1),(51,1),(96,1),(104,1)}
        33:{2,4,6,7}:{(18,1),(19,1),(43,1),(52,1),(96,1)}
        34:{3,4,6}:{(19,1),(20,1),(44,1),(48,1),(53,1)}
        35:{1,4,5,7}:{(20,1),(49,1),(53,1),(74,1),(81,1),(95,1)}
        36:{1,4,6,7}:{(21,1),(22,1),(45,1),(54,1),(95,1)}
        37:{3,4,6}:{(22,1),(23,1),(46,1),(48,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(50,1),(55,1),(75,1),(82,1),(96,1)}
        39:{1,2,4,5,6}:{(24,1),(26,1),(27,1),(29,1),(57,1),(58,1),(63,1),(65,1),(87,1),(88,1),(92,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(31,1),(59,1),(61,1),(67,1),(87,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(32,1),(60,1),(61,1),(68,1),(88,1),(102,1),(103,1)}
        43:{2,4,5,7}:{(26,1),(33,1),(62,1)}
        44:{3,5,6}:{(26,1),(34,1),(62,1),(63,1)}
        45:{1,4,5,7}:{(27,1),(36,1),(64,1)}
        46:{3,5,6}:{(27,1),(37,1),(64,1),(65,1)}
        47:{1,2,4,6,7}:{(28,1),(29,1),(33,1),(36,1),(57,1),(66,1),(71,1),(72,1),(94,1),(101,1)}
        48:{3,6}:{(29,1),(30,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(35,1),(59,1),(67,1),(69,1)}
        50:{2,3,5,7}:{(30,1),(32,1),(38,1),(60,1),(68,1),(69,1)}
        51:{1,2,4,7}:{(31,1),(32,1),(61,1),(69,1),(70,1)}
        52:{3,4,6,7}:{(33,1),(34,1),(62,1),(66,1),(71,1),(86,1)}
        53:{1,4,6}:{(34,1),(35,1),(63,1),(67,1)}
        54:{3,4,6,7}:{(36,1),(37,1),(64,1),(66,1),(72,1),(86,1)}
        55:{2,4,6}:{(37,1),(38,1),(65,1),(68,1)}
        56:{3,4,5}:{(40,1),(73,1),(74,1),(75,1),(98,1)}
        57:{1,2,4,5,7}:{(39,1),(43,1),(45,1),(47,1),(76,1),(81,1),(82,1),(95,1),(96,1),(99,1)}
        58:{3,5,6}:{(39,1),(40,1),(48,1),(73,1),(76,1)}
        59:{1,3,5}:{(40,1),(41,1),(74,1),(79,1),(98,1)}
        60:{2,3,5}:{(40,1),(42,1),(75,1),(79,1),(98,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(51,1),(79,1),(80,1),(85,1),(100,1)}
        62:{3,5,7}:{(43,1),(44,1),(52,1),(81,1)}
        63:{1,5,6}:{(44,1),(53,1),(81,1)}
        64:{3,5,7}:{(45,1),(46,1),(54,1),(82,1)}
        65:{2,5,6}:{(46,1),(55,1),(82,1)}
        66:{3,6,7}:{(47,1),(48,1),(76,1),(104,1)}
        67:{1,3,6}:{(48,1),(49,1),(53,1),(85,1)}
        68:{2,3,6}:{(48,1),(50,1),(55,1),(85,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(85,1)}
        70:{1,2,3,7}:{(51,1),(80,1),(104,1)}
        71:{1,4,6,7}:{(52,1),(53,1),(81,1),(83,1),(95,1)}
        72:{2,4,6,7}:{(54,1),(55,1),(82,1),(84,1),(96,1)}
        73:{3,4,6}:{(56,1),(58,1),(86,1),(87,1),(88,1),(102,1)}
        74:{1,4,5}:{(56,1),(59,1),(87,1)}
        75:{2,4,5}:{(56,1),(60,1),(88,1)}
        76:{3,5,7}:{(57,1),(58,1),(66,1),(86,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(67,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(65,1),(68,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(70,1),(93,1),(102,1)}
        81:{1,5,7}:{(62,1),(63,1),(71,1)}
        82:{2,5,7}:{(64,1),(65,1),(72,1)}
        83:{1,3,6,7}:{(66,1),(67,1),(71,1),(90,1),(94,1)}
        84:{2,3,6,7}:{(66,1),(68,1),(72,1),(91,1),(94,1)}
        85:{1,2,6}:{(67,1),(68,1),(69,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        88:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(74,1),(75,1),(79,1),(97,1),(98,1),(100,1)}
        90:{1,3,5,7}:{(76,1),(77,1),(81,1),(83,1),(95,1),(99,1),(104,1)}
        91:{2,3,5,7}:{(76,1),(78,1),(82,1),(84,1),(96,1),(99,1),(104,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(85,1),(97,1),(99,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(98,1),(100,1)}
        94:{1,2,6,7}:{(83,1),(84,1),(85,1),(99,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,4,6}:{(87,1),(88,1),(89,1),(92,1),(101,1),(102,1)}
        98:{3,5}:{(89,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(90,1),(91,1),(92,1),(94,1),(101,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1954 :   0:{1,3,4,6,7}:{(3,1),(4,1),(18,1),(21,1),(54,1),(57,1),(59,1),(91,1),(95,1),(116,1),(123,1)}
         1:{1,3,5,6,7}:{(6,1),(7,1),(9,1),(32,1),(34,1),(62,1),(72,1)}
         2:{2,3,5,6,7}:{(6,1),(8,1),(25,1),(33,1),(34,1),(37,1),(73,1)}
         3:{1,2,4,6,7}:{(0,1),(10,1),(11,1),(35,1),(38,1),(40,1),(74,1),(110,1),(128,1)}
         4:{1,3,5,7}:{(0,1),(9,1),(11,1),(12,1),(32,1),(41,1),(111,1),(126,1)}
         5:{2,3,4,6,7}:{(13,1),(14,1),(19,1),(44,1),(55,1),(83,1),(85,1),(92,1),(96,1),(117,1),(123,1)}
         6:{1,2,5,6,7}:{(1,1),(2,1),(17,1),(20,1),(43,1),(52,1),(53,1),(93,1)}
         7:{1,4,6,7}:{(1,1),(15,1),(18,1),(21,1),(82,1),(91,1)}
         8:{2,4,6,7}:{(2,1),(16,1),(19,1),(44,1),(56,1),(92,1)}
         9:{1,3,5,6}:{(4,1),(20,1),(21,1),(49,1),(57,1)}
        10:{2,3,6,7}:{(3,1),(22,1),(57,1),(123,1),(134,1)}
        11:{1,2,5,7}:{(3,1),(4,1),(20,1),(22,1),(52,1),(133,1)}
        12:{1,4,5,7}:{(4,1),(21,1),(24,1),(91,1),(120,1)}
        13:{1,2,4,6,7}:{(5,1),(26,1),(27,1),(36,1),(63,1),(65,1),(74,1),(110,1),(113,1)}
        14:{2,3,5,7}:{(5,1),(25,1),(27,1),(28,1),(33,1),(66,1),(112,1),(127,1)}
        15:{1,4,5,7}:{(7,1),(29,1),(32,1),(99,1)}
        16:{2,4,5,7}:{(8,1),(30,1),(33,1),(75,1)}
        17:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(31,1),(34,1),(35,1),(36,1),(38,1),(63,1),(74,1),(110,1)}
        18:{3,4,6,7}:{(7,1),(32,1),(34,1),(35,1),(39,1),(71,1),(100,1)}
        19:{3,4,6,7}:{(8,1),(33,1),(34,1),(36,1),(64,1),(71,1),(76,1)}
        20:{1,2,5,6}:{(9,1),(11,1),(37,1),(38,1),(69,1),(111,1)}
        21:{1,4,6}:{(9,1),(12,1),(39,1)}
        22:{2,3,5,7}:{(10,1),(11,1),(37,1),(40,1),(41,1),(137,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(42,1),(75,1),(79,1),(81,1),(110,1),(111,1),(130,1)}
        24:{3,4,5,7}:{(12,1),(32,1),(39,1),(41,1),(42,1),(71,1),(106,1)}
        25:{2,3,5,6}:{(14,1),(43,1),(44,1),(50,1),(83,1)}
        26:{1,3,6,7}:{(13,1),(45,1),(83,1),(123,1),(125,1)}
        27:{1,2,5,7}:{(13,1),(14,1),(43,1),(45,1),(53,1),(124,1)}
        28:{2,4,5,7}:{(14,1),(44,1),(47,1),(92,1),(121,1)}
        29:{1,4,5,6}:{(15,1),(21,1),(49,1)}
        30:{2,4,5,6}:{(16,1),(44,1),(50,1)}
        31:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(48,1),(51,1),(52,1),(53,1),(91,1),(92,1),(93,1)}
        32:{3,5,7}:{(15,1),(18,1),(49,1),(52,1),(115,1)}
        33:{3,5,7}:{(16,1),(19,1),(50,1),(53,1),(94,1)}
        34:{3,6,7}:{(17,1),(51,1),(57,1),(83,1),(123,1)}
        35:{2,4,6,7}:{(18,1),(52,1),(55,1),(58,1),(92,1),(117,1)}
        36:{1,4,6,7}:{(19,1),(53,1),(54,1),(84,1),(91,1),(95,1)}
        37:{2,3,5,6}:{(20,1),(22,1),(56,1),(57,1),(94,1)}
        38:{1,2,4,6}:{(20,1),(21,1),(23,1),(56,1),(57,1),(58,1),(95,1),(97,1)}
        39:{3,4,6}:{(21,1),(24,1),(49,1),(57,1),(58,1)}
        40:{2,4,7}:{(22,1),(56,1),(59,1),(139,1)}
        41:{3,5,7}:{(23,1),(57,1),(59,1),(94,1),(123,1),(135,1)}
        42:{2,4,5,7}:{(24,1),(52,1),(58,1),(61,1),(92,1),(121,1)}
        43:{1,2,5,6}:{(25,1),(27,1),(62,1),(63,1),(70,1),(127,1)}
        44:{2,4,6}:{(25,1),(28,1),(64,1)}
        45:{1,3,5,7}:{(26,1),(27,1),(62,1),(65,1),(66,1),(132,1)}
        46:{1,2,4,5,7}:{(27,1),(28,1),(63,1),(65,1),(66,1),(67,1),(99,1),(104,1),(105,1),(110,1),(127,1),(130,1)}
        47:{3,4,5,7}:{(28,1),(33,1),(64,1),(66,1),(67,1),(71,1),(106,1)}
        48:{1,2,4,5,6}:{(29,1),(30,1),(31,1),(38,1),(63,1),(68,1),(69,1),(70,1),(75,1),(99,1),(107,1),(108,1),(109,1),(111,1),(127,1),(130,1)}
        49:{3,5,6}:{(29,1),(32,1),(39,1),(69,1)}
        50:{3,5,6}:{(30,1),(33,1),(64,1),(70,1)}
        51:{3,5,7}:{(31,1),(34,1),(68,1),(71,1)}
        52:{2,5,7}:{(32,1),(35,1),(69,1),(127,1)}
        53:{1,5,7}:{(33,1),(36,1),(70,1),(111,1)}
        54:{1,3,6,7}:{(34,1),(36,1),(72,1),(74,1),(77,1),(101,1)}
        55:{2,3,6,7}:{(34,1),(35,1),(73,1),(74,1),(78,1),(102,1)}
        56:{2,4,6}:{(37,1),(40,1),(75,1),(76,1)}
        57:{3,6}:{(38,1),(41,1)}
        58:{2,4,6}:{(39,1),(42,1),(69,1),(78,1)}
        59:{3,4,7}:{(40,1),(41,1),(76,1),(79,1),(138,1)}
        60:{1,3,5,7}:{(41,1),(77,1),(79,1),(81,1),(111,1),(114,1),(132,1)}
        61:{2,3,5,7}:{(41,1),(42,1),(78,1),(80,1),(81,1),(112,1)}
        62:{1,3,5,6}:{(43,1),(45,1),(82,1),(83,1),(115,1)}
        63:{1,2,4,6}:{(43,1),(44,1),(46,1),(82,1),(83,1),(84,1),(117,1),(118,1)}
        64:{3,4,6}:{(44,1),(47,1),(50,1),(83,1),(84,1)}
        65:{1,4,7}:{(45,1),(82,1),(85,1),(136,1)}
        66:{3,5,7}:{(46,1),(83,1),(85,1),(115,1),(123,1),(135,1)}
        67:{1,4,5,7}:{(47,1),(53,1),(84,1),(86,1),(91,1),(120,1)}
        68:{3,5,6}:{(48,1),(51,1),(57,1),(83,1),(88,1),(94,1),(115,1),(135,1)}
        69:{2,5,6}:{(49,1),(52,1),(58,1)}
        70:{1,5,6}:{(50,1),(53,1),(84,1)}
        71:{3,4,7}:{(51,1),(88,1),(91,1),(92,1),(123,1)}
        72:{1,3,5,7}:{(51,1),(53,1),(54,1),(89,1),(91,1),(93,1),(123,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(55,1),(90,1),(92,1),(93,1),(123,1)}
        74:{1,2,6,7}:{(54,1),(55,1),(93,1),(97,1),(118,1)}
        75:{2,4,5}:{(56,1),(94,1)}
        76:{3,4,6}:{(56,1),(57,1),(59,1),(94,1),(95,1)}
        77:{1,3,6}:{(57,1),(60,1),(95,1),(97,1)}
        78:{2,3,6}:{(57,1),(58,1),(61,1),(97,1)}
        79:{1,4,7}:{(59,1),(60,1),(95,1),(136,1)}
        80:{2,3,4,7}:{(59,1),(61,1),(92,1),(96,1),(98,1),(123,1)}
        81:{1,2,5,7}:{(60,1),(61,1),(97,1),(98,1),(124,1)}
        82:{1,4,6}:{(62,1),(65,1),(99,1),(100,1)}
        83:{3,6}:{(63,1),(66,1)}
        84:{1,4,6}:{(64,1),(67,1),(70,1),(101,1)}
        85:{3,4,7}:{(65,1),(66,1),(100,1),(104,1),(138,1)}
        86:{1,3,5,7}:{(66,1),(67,1),(101,1),(103,1),(105,1),(126,1)}
        87:{2,3,5,7}:{(66,1),(102,1),(104,1),(105,1),(127,1),(129,1),(137,1)}
        88:{3,4,6}:{(68,1),(71,1),(106,1),(107,1),(108,1),(131,1),(138,1)}
        89:{1,3,5,6}:{(68,1),(70,1),(72,1),(77,1),(101,1),(107,1),(109,1),(111,1),(126,1),(131,1),(132,1)}
        90:{2,3,5,6}:{(68,1),(69,1),(73,1),(78,1),(102,1),(108,1),(109,1),(112,1),(127,1),(131,1),(137,1)}
        91:{1,4,7}:{(71,1),(72,1),(107,1)}
        92:{2,4,7}:{(71,1),(73,1),(108,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(109,1),(110,1)}
        94:{3,5}:{(75,1),(76,1),(111,1)}
        95:{1,4,6}:{(76,1),(77,1),(79,1),(111,1)}
        96:{2,3,4,6}:{(76,1),(78,1),(80,1),(108,1),(112,1),(113,1),(131,1),(138,1)}
        97:{1,2,6}:{(77,1),(78,1),(81,1)}
        98:{1,2,4,7}:{(79,1),(80,1),(81,1),(113,1),(114,1)}
        99:{1,4,5}:{(82,1),(115,1)}
       100:{3,4,6}:{(82,1),(83,1),(85,1),(115,1),(117,1)}
       101:{1,3,6}:{(83,1),(84,1),(86,1),(118,1)}
       102:{2,3,6}:{(83,1),(87,1),(117,1),(118,1)}
       103:{1,3,4,7}:{(85,1),(86,1),(91,1),(116,1),(119,1),(123,1)}
       104:{2,4,7}:{(85,1),(87,1),(117,1),(139,1)}
       105:{1,2,5,7}:{(86,1),(87,1),(118,1),(119,1),(133,1)}
       106:{3,4,5}:{(88,1),(94,1),(115,1),(120,1),(121,1),(135,1)}
       107:{1,4,6}:{(88,1),(89,1),(91,1),(120,1),(136,1)}
       108:{2,4,6}:{(88,1),(90,1),(92,1),(121,1),(139,1)}
       109:{1,2,5,6}:{(89,1),(90,1),(93,1),(97,1),(118,1),(122,1),(124,1),(133,1)}
       110:{1,2,4,7}:{(91,1),(92,1),(93,1),(122,1),(123,1)}
       111:{1,5}:{(94,1),(95,1)}
       112:{2,3,5}:{(94,1),(96,1),(121,1),(124,1),(135,1)}
       113:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(124,1),(125,1),(136,1)}
       114:{1,3,7}:{(98,1),(123,1),(125,1)}
       115:{3,5}:{(99,1),(100,1),(127,1)}
       116:{1,3,4,6}:{(100,1),(101,1),(103,1),(107,1),(126,1),(128,1),(131,1),(138,1)}
       117:{2,4,6}:{(100,1),(102,1),(104,1),(127,1)}
       118:{1,2,6}:{(101,1),(102,1),(105,1)}
       119:{1,2,4,7}:{(103,1),(104,1),(105,1),(128,1),(129,1)}
       120:{1,4,5}:{(106,1),(107,1),(111,1),(126,1)}
       121:{2,4,5}:{(106,1),(108,1),(112,1),(127,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(110,1),(130,1),(131,1)}
       123:{3,7}:{(110,1),(131,1)}
       124:{1,2,5}:{(111,1),(112,1),(113,1),(132,1)}
       125:{1,3,6}:{(113,1),(114,1),(131,1),(132,1)}
       126:{1,3,5}:{(115,1),(116,1),(120,1),(133,1),(135,1)}
       127:{2,5}:{(115,1),(117,1)}
       128:{1,2,4,6}:{(116,1),(117,1),(118,1),(119,1),(133,1),(134,1),(139,1)}
       129:{2,3,7}:{(119,1),(123,1),(134,1)}
       130:{1,2,4,5}:{(120,1),(121,1),(122,1),(124,1),(133,1),(135,1),(136,1),(139,1)}
       131:{3,6}:{(122,1),(123,1),(135,1)}
       132:{1,3,5}:{(124,1),(125,1),(135,1),(136,1)}
       133:{1,2,5}:{(126,1),(127,1),(128,1),(137,1)}
       134:{2,3,6}:{(128,1),(129,1),(131,1),(137,1)}
       135:{3,5}:{(130,1),(131,1),(138,1)}
       136:{1,4}:{(132,1),(138,1)}
       137:{2,3,5}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,4}:{(135,1),(136,1),(139,1)}
       139:{2,4}:{(137,1),(138,1)}

1955 :  0:{1,2,3,4,7}:{(1,1),(2,1),(27,1),(79,1)}
        1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(69,1),(70,1)}
        3:{1,3,4,5,7}:{(4,1),(7,1),(20,1),(21,1),(39,1)}
        4:{1,2,4,5,7}:{(1,1),(3,1),(8,1),(9,1),(12,1),(25,1),(27,1)}
        5:{1,2,3,6}:{(1,1),(9,1)}
        6:{1,2,3,5}:{(2,1),(12,1)}
        7:{1,3,4,6}:{(3,1),(9,1),(14,1),(28,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(20,1),(34,1),(39,1)}
        9:{1,2,4,6}:{(4,1),(5,1),(7,1),(15,1),(17,1)}
       10:{1,2,3,6,7}:{(5,1),(16,1),(18,1),(64,1),(82,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(17,1),(18,1),(19,1),(38,1),(67,1),(69,1)}
       12:{1,2,4,5}:{(6,1),(19,1),(20,1)}
       13:{1,3,4,6,7}:{(7,1),(16,1),(21,1),(39,1),(43,1),(64,1)}
       14:{1,3,5,6}:{(7,1),(17,1),(21,1),(22,1),(38,1)}
       15:{2,3,4,6}:{(8,1),(9,1),(24,1),(28,1)}
       16:{1,2,4,6,7}:{(9,1),(10,1),(13,1),(23,1),(25,1),(27,1)}
       17:{1,2,5,6}:{(9,1),(14,1),(24,1),(25,1)}
       18:{1,2,3,5,7}:{(10,1),(11,1),(25,1),(27,1),(51,1),(78,1),(79,1)}
       19:{1,2,4,6}:{(11,1),(12,1),(27,1),(28,1)}
       20:{3,4,5}:{(12,1),(28,1)}
       21:{1,3,5,7}:{(13,1),(14,1),(25,1),(32,1),(51,1)}
       22:{1,4,5,6}:{(14,1),(32,1),(33,1)}
       23:{2,3,4,6,7}:{(15,1),(16,1),(34,1),(39,1),(61,1),(64,1)}
       24:{2,3,5,6}:{(15,1),(17,1),(34,1),(35,1),(38,1)}
       25:{1,2,5,7}:{(16,1),(17,1),(21,1),(34,1)}
       26:{1,2,4,5,6}:{(17,1),(19,1),(22,1),(35,1),(37,1),(38,1),(45,1),(63,1),(67,1)}
       27:{1,2,4,7}:{(18,1),(19,1),(39,1)}
       28:{3,4,6}:{(19,1),(20,1),(38,1),(39,1)}
       29:{1,3,4,5}:{(20,1),(40,1),(42,1)}
       30:{2,3,4,5}:{(20,1),(41,1),(42,1)}
       31:{1,3,5,6,7}:{(21,1),(36,1),(43,1),(60,1),(64,1)}
       32:{1,4,5,7}:{(21,1),(22,1),(43,1),(44,1)}
       33:{3,4,5,6}:{(22,1),(38,1),(44,1),(45,1)}
       34:{2,3,5,7}:{(23,1),(24,1),(25,1),(48,1),(51,1)}
       35:{2,4,5,6}:{(24,1),(48,1),(49,1)}
       36:{1,2,5,6,7}:{(25,1),(31,1),(47,1),(50,1),(72,1),(83,1)}
       37:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(32,1),(48,1),(50,1),(51,1),(59,1),(75,1),(78,1)}
       38:{3,5,6}:{(26,1),(28,1),(51,1)}
       39:{3,4,7}:{(27,1),(28,1),(51,1)}
       40:{1,3,4,6}:{(28,1),(29,1),(52,1),(54,1),(56,1)}
       41:{2,3,4,6}:{(28,1),(30,1),(53,1),(55,1),(56,1)}
       42:{1,2,4,5}:{(29,1),(30,1),(56,1),(57,1)}
       43:{1,4,6,7}:{(31,1),(32,1),(58,1)}
       44:{3,4,5,7}:{(32,1),(33,1),(51,1),(58,1),(59,1)}
       45:{2,4,5,6}:{(33,1),(53,1),(59,1)}
       46:{1,4,5,6,7}:{(43,1),(60,1)}
       47:{2,3,5,6,7}:{(34,1),(36,1),(61,1),(64,1),(80,1)}
       48:{2,4,5,7}:{(34,1),(35,1),(61,1),(62,1)}
       49:{3,4,5,6}:{(35,1),(38,1),(62,1),(63,1)}
       50:{1,2,4,6,7}:{(36,1),(37,1),(43,1),(61,1),(64,1),(71,1),(81,1),(82,1)}
       51:{3,5,7}:{(37,1),(38,1),(39,1),(64,1)}
       52:{1,3,5,6}:{(38,1),(40,1),(63,1),(65,1),(67,1)}
       53:{2,3,5,6}:{(38,1),(41,1),(45,1),(66,1),(67,1)}
       54:{1,3,4,7}:{(39,1),(40,1),(65,1),(68,1)}
       55:{2,3,4,7}:{(39,1),(41,1),(66,1),(68,1)}
       56:{1,2,4,6}:{(40,1),(41,1),(42,1),(67,1),(68,1),(69,1)}
       57:{1,2,3,5}:{(42,1),(69,1),(70,1)}
       58:{3,4,6,7}:{(43,1),(44,1),(60,1),(64,1),(71,1)}
       59:{2,4,5,7}:{(44,1),(45,1),(66,1),(71,1)}
       60:{3,5,6,7}:{(46,1),(58,1),(72,1)}
       61:{2,4,6,7}:{(47,1),(48,1),(74,1)}
       62:{3,4,5,7}:{(48,1),(49,1),(51,1),(74,1),(75,1)}
       63:{1,4,5,6}:{(49,1),(52,1),(75,1)}
       64:{3,6,7}:{(50,1),(51,1)}
       65:{1,3,5,7}:{(51,1),(52,1),(54,1),(75,1),(76,1),(78,1)}
       66:{2,3,5,7}:{(51,1),(53,1),(55,1),(59,1),(77,1),(78,1)}
       67:{1,2,5,6}:{(52,1),(53,1),(56,1),(78,1)}
       68:{1,2,4,7}:{(54,1),(55,1),(56,1),(78,1),(79,1)}
       69:{1,2,3,6}:{(56,1),(57,1),(79,1)}
       70:{1,2,3,4}:{(57,1)}
       71:{2,4,6,7}:{(58,1),(59,1),(72,1),(77,1)}
       72:{2,5,6,7}:{(60,1),(71,1)}
       73:{2,4,5,6,7}:{(61,1),(80,1)}
       74:{3,4,6,7}:{(61,1),(62,1),(64,1),(80,1),(81,1)}
       75:{1,4,5,7}:{(62,1),(63,1),(65,1),(81,1)}
       76:{1,3,6,7}:{(64,1),(65,1),(81,1),(82,1)}
       77:{2,3,6,7}:{(64,1),(66,1),(71,1),(82,1)}
       78:{1,2,5,7}:{(65,1),(66,1),(67,1),(68,1),(82,1)}
       79:{1,2,3,7}:{(68,1),(69,1)}
       80:{3,5,6,7}:{(73,1),(74,1),(83,1)}
       81:{1,4,6,7}:{(74,1),(75,1),(76,1),(83,1)}
       82:{1,2,6,7}:{(76,1),(77,1),(78,1)}
       83:{1,5,6,7}:{(80,1),(81,1)}

1956 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(8,1),(22,1),(26,1),(27,1)}
         2:{1,2,3,5}:{(0,1),(7,1),(8,1)}
         3:{1,3,4,5}:{(7,1),(9,1),(24,1)}
         4:{1,2,3,4}:{(10,1)}
         5:{1,2,3,4,7}:{(1,1),(13,1),(18,1),(38,1),(45,1)}
         6:{1,2,3,5}:{(1,1),(12,1)}
         7:{1,2,4,5}:{(2,1),(3,1),(16,1),(17,1)}
         8:{1,2,3,6}:{(2,1),(17,1),(18,1)}
         9:{1,3,4,6}:{(3,1),(17,1),(19,1),(20,1),(42,1)}
        10:{1,2,3,5}:{(4,1),(21,1),(22,1)}
        11:{2,3,4,5}:{(21,1),(23,1),(24,1)}
        12:{1,2,4,5}:{(6,1),(24,1),(26,1)}
        13:{1,2,3,5,7}:{(5,1),(6,1),(25,1),(27,1)}
        14:{1,2,3,5,6}:{(6,1),(8,1),(22,1),(26,1),(27,1),(28,1),(33,1),(55,1),(58,1),(62,1)}
        15:{3,4,5,6}:{(29,1),(30,1),(31,1),(58,1),(90,1)}
        16:{2,3,4,5}:{(7,1),(24,1),(32,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(9,1),(32,1),(33,1),(34,1)}
        18:{1,2,3,7}:{(8,1),(34,1)}
        19:{1,3,5,6}:{(9,1),(29,1),(33,1),(35,1),(58,1)}
        20:{1,3,4,7}:{(9,1),(34,1),(35,1),(60,1)}
        21:{1,2,4,5}:{(10,1),(11,1),(36,1),(37,1)}
        22:{1,2,3,6}:{(10,1),(37,1),(38,1)}
        23:{2,3,4,6}:{(11,1),(37,1),(39,1),(40,1),(42,1)}
        24:{3,4,5}:{(12,1),(42,1)}
        25:{1,2,4,5,7}:{(12,1),(13,1),(41,1),(44,1),(45,1),(79,1)}
        26:{1,2,4,6}:{(12,1),(14,1),(42,1),(45,1)}
        27:{1,2,3,6}:{(13,1),(44,1)}
        28:{1,2,3,5,7}:{(14,1),(18,1),(38,1),(45,1),(46,1),(52,1),(72,1),(75,1),(79,1)}
        29:{1,4,5,6}:{(15,1),(19,1),(47,1)}
        30:{2,4,5,6}:{(15,1),(39,1),(48,1)}
        31:{3,4,5,7}:{(15,1),(47,1),(48,1),(49,1),(75,1),(98,1)}
        32:{2,3,4,6}:{(16,1),(17,1),(42,1),(50,1),(51,1)}
        33:{1,2,5,6}:{(17,1),(19,1),(50,1),(52,1)}
        34:{1,2,4,7}:{(17,1),(18,1),(20,1),(51,1),(52,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(47,1),(52,1),(53,1),(75,1)}
        36:{1,3,4,5}:{(21,1),(24,1),(54,1)}
        37:{1,2,4,6}:{(21,1),(22,1),(23,1),(54,1),(55,1),(56,1)}
        38:{1,2,3,7}:{(22,1),(56,1)}
        39:{2,3,5,6}:{(23,1),(30,1),(55,1),(57,1),(58,1)}
        40:{2,3,4,7}:{(23,1),(56,1),(57,1),(60,1)}
        41:{3,4,5,7}:{(24,1),(25,1),(59,1),(60,1),(91,1)}
        42:{3,4,6}:{(24,1),(26,1),(58,1),(60,1)}
        43:{1,2,4,5,6}:{(26,1),(29,1),(30,1),(33,1),(55,1),(58,1),(61,1),(62,1),(67,1),(85,1),(90,1)}
        44:{1,2,4,6}:{(25,1),(27,1),(59,1),(62,1)}
        45:{1,2,4,7}:{(26,1),(28,1),(60,1)}
        46:{1,2,3,6,7}:{(27,1),(28,1),(63,1),(69,1),(87,1),(89,1)}
        47:{1,4,5,7}:{(29,1),(31,1),(35,1),(64,1)}
        48:{2,4,5,7}:{(30,1),(31,1),(57,1),(65,1)}
        49:{3,4,6,7}:{(31,1),(64,1),(65,1),(66,1),(89,1),(102,1)}
        50:{2,3,5,6}:{(32,1),(33,1),(58,1),(67,1),(68,1)}
        51:{2,3,4,7}:{(32,1),(34,1),(60,1),(68,1)}
        52:{1,2,5,7}:{(33,1),(34,1),(35,1),(68,1),(69,1)}
        53:{1,3,6,7}:{(35,1),(64,1),(69,1),(89,1)}
        54:{1,3,4,6}:{(36,1),(37,1),(42,1),(70,1),(71,1)}
        55:{1,2,5,6}:{(37,1),(39,1),(70,1),(72,1)}
        56:{1,2,4,7}:{(37,1),(38,1),(40,1),(71,1),(72,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(48,1),(72,1),(73,1),(75,1)}
        58:{3,5,6}:{(42,1),(43,1),(75,1)}
        59:{3,4,6}:{(41,1),(44,1),(76,1)}
        60:{3,4,7}:{(42,1),(45,1),(75,1)}
        61:{1,2,4,5,7}:{(43,1),(45,1),(47,1),(48,1),(52,1),(72,1),(75,1),(78,1),(79,1),(83,1),(94,1),(98,1)}
        62:{1,2,5,6}:{(44,1),(76,1),(79,1)}
        63:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(77,1),(79,1)}
        64:{1,4,6,7}:{(47,1),(49,1),(53,1),(80,1)}
        65:{2,4,6,7}:{(48,1),(49,1),(73,1),(81,1)}
        66:{3,5,6,7}:{(49,1),(80,1),(81,1),(82,1)}
        67:{2,4,5,6}:{(50,1),(74,1),(83,1)}
        68:{2,3,5,7}:{(50,1),(51,1),(52,1),(75,1),(83,1),(84,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(84,1)}
        70:{1,3,5,6}:{(54,1),(55,1),(58,1),(85,1),(86,1)}
        71:{1,3,4,7}:{(54,1),(56,1),(60,1),(86,1)}
        72:{1,2,5,7}:{(55,1),(56,1),(57,1),(86,1),(87,1)}
        73:{2,3,6,7}:{(57,1),(65,1),(87,1),(89,1)}
        74:{3,4,5,6}:{(58,1),(67,1),(85,1),(88,1),(90,1)}
        75:{3,5,7}:{(58,1),(60,1),(61,1),(89,1)}
        76:{3,5,6}:{(59,1),(62,1),(90,1),(91,1)}
        77:{3,4,6,7}:{(59,1),(60,1),(63,1),(89,1),(91,1),(102,1)}
        78:{1,2,4,6,7}:{(61,1),(64,1),(65,1),(69,1),(87,1),(89,1),(92,1),(93,1),(100,1),(102,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(91,1)}
        80:{1,5,6,7}:{(64,1),(66,1)}
        81:{2,5,6,7}:{(65,1),(66,1)}
        82:{4,5,6,7}:{(66,1),(102,1)}
        83:{2,4,5,7}:{(67,1),(68,1),(88,1),(93,1)}
        84:{2,3,6,7}:{(68,1),(69,1),(89,1),(93,1)}
        85:{1,4,5,6}:{(70,1),(74,1),(94,1)}
        86:{1,3,5,7}:{(70,1),(71,1),(72,1),(75,1),(94,1),(95,1)}
        87:{1,2,6,7}:{(72,1),(73,1),(95,1)}
        88:{3,4,5,7}:{(74,1),(75,1),(83,1),(94,1),(96,1),(98,1)}
        89:{3,6,7}:{(75,1),(78,1)}
        90:{4,5,6}:{(76,1),(98,1)}
        91:{3,5,7}:{(76,1),(77,1),(79,1),(98,1)}
        92:{1,2,5,6,7}:{(78,1),(79,1),(80,1),(81,1),(97,1),(99,1),(103,1)}
        93:{2,4,6,7}:{(83,1),(84,1),(96,1),(99,1)}
        94:{1,4,5,7}:{(85,1),(86,1),(88,1),(100,1)}
        95:{1,3,6,7}:{(86,1),(87,1),(89,1),(100,1)}
        96:{3,4,6,7}:{(88,1),(89,1),(93,1),(100,1),(101,1),(102,1)}
        97:{3,5,6,7}:{(89,1),(91,1),(92,1),(102,1)}
        98:{4,5,7}:{(90,1),(91,1),(102,1)}
        99:{2,5,6,7}:{(93,1),(101,1)}
       100:{1,4,6,7}:{(94,1),(95,1),(96,1),(103,1)}
       101:{3,5,6,7}:{(96,1),(99,1),(103,1),(104,1)}
       102:{4,6,7}:{(97,1),(98,1)}
       103:{1,5,6,7}:{(100,1),(101,1)}
       104:{4,5,6,7}:{(101,1),(102,1)}

1957 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(57,1),(63,1)}
         1:{1,2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(49,1),(52,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(28,1),(48,1),(53,1)}
         3:{1,3,5,6}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(40,1),(43,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(44,1)}
         6:{1,2,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(47,1),(49,1)}
         7:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,2,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(34,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(35,1),(48,1)}
        11:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
        12:{1,2,3,5,7}:{(6,1),(8,1),(20,1),(21,1),(37,1),(40,1)}
        13:{1,3,4,5}:{(7,1),(19,1)}
        14:{1,3,4,7}:{(7,1),(8,1),(20,1)}
        15:{1,3,6,7}:{(8,1),(9,1)}
        16:{1,2,5,6,7}:{(9,1),(10,1),(24,1),(40,1)}
        17:{2,4,5,6,7}:{(10,1),(26,1),(58,1)}
        18:{2,3,4,6}:{(11,1),(27,1),(28,1),(47,1)}
        19:{1,2,4,5}:{(11,1),(13,1),(27,1)}
        20:{1,2,4,7}:{(11,1),(12,1),(14,1),(28,1)}
        21:{1,2,3,6,7}:{(12,1),(15,1),(30,1),(47,1)}
        22:{1,3,4,5,7}:{(13,1),(14,1),(29,1),(32,1),(33,1),(68,1)}
        23:{1,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1),(51,1)}
        24:{1,3,5,6,7}:{(15,1),(16,1),(33,1),(34,1),(35,1)}
        25:{1,2,4,5,6,7}:{(16,1),(17,1),(34,1),(35,1),(36,1),(50,1),(55,1),(56,1)}
        26:{3,4,5,6,7}:{(17,1),(35,1),(36,1),(68,1)}
        27:{2,3,5}:{(18,1),(19,1)}
        28:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(39,1),(40,1),(58,1)}
        30:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(39,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(24,1),(40,1),(41,1),(46,1),(57,1),(60,1),(80,1),(82,1),(83,1)}
        32:{1,3,4,6}:{(22,1),(39,1),(42,1),(77,1)}
        33:{1,3,5,7}:{(23,1),(40,1),(42,1),(43,1),(60,1)}
        34:{1,4,6,7}:{(24,1),(43,1),(44,1)}
        35:{3,5,6,7}:{(25,1),(44,1),(60,1)}
        36:{1,4,5,6,7}:{(26,1),(45,1),(78,1)}
        37:{2,3,5,7}:{(27,1),(28,1),(29,1),(47,1)}
        38:{2,3,4,6,7}:{(28,1),(30,1),(47,1),(48,1),(51,1),(67,1)}
        39:{1,2,4,6}:{(29,1),(32,1),(47,1),(49,1),(67,1)}
        40:{1,2,5,7}:{(30,1),(33,1),(48,1),(49,1)}
        41:{1,2,4,6,7}:{(31,1),(34,1),(50,1),(51,1),(55,1),(67,1),(86,1)}
        42:{1,3,5,6}:{(32,1),(33,1),(49,1),(52,1),(69,1)}
        43:{1,4,5,7}:{(33,1),(34,1),(52,1),(53,1)}
        44:{3,4,6,7}:{(34,1),(35,1),(53,1),(55,1)}
        45:{1,3,5,6,7}:{(35,1),(36,1),(54,1),(56,1),(70,1)}
        46:{2,3,5,6,7}:{(35,1),(55,1),(56,1),(71,1),(76,1)}
        47:{2,3,6}:{(37,1),(39,1)}
        48:{2,3,5,7}:{(38,1),(40,1),(57,1),(58,1),(60,1)}
        49:{1,2,5,6}:{(39,1),(40,1),(42,1),(57,1)}
        50:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(58,1),(59,1),(60,1),(65,1),(78,1),(82,1)}
        51:{3,4,6,7}:{(41,1),(60,1),(77,1)}
        52:{1,4,5,6}:{(42,1),(43,1),(63,1)}
        53:{3,4,5,7}:{(43,1),(44,1),(60,1),(63,1),(65,1)}
        54:{1,3,4,6,7}:{(44,1),(45,1),(64,1),(66,1)}
        55:{2,4,6,7}:{(44,1),(46,1),(65,1)}
        56:{1,2,5,6,7}:{(45,1),(46,1),(66,1),(82,1)}
        57:{2,3,5,6}:{(47,1),(48,1),(49,1),(67,1),(69,1)}
        58:{2,4,5,7}:{(48,1),(67,1),(68,1)}
        59:{1,2,4,5,6}:{(49,1),(50,1),(52,1),(67,1),(69,1),(74,1),(86,1),(89,1)}
        60:{3,5,7}:{(50,1),(51,1),(69,1)}
        61:{1,3,4,6,7}:{(51,1),(70,1),(72,1),(86,1),(98,1),(99,1)}
        62:{2,3,4,6,7}:{(51,1),(55,1),(71,1),(72,1),(76,1),(87,1),(92,1)}
        63:{3,4,5,6}:{(52,1),(53,1),(69,1),(74,1)}
        64:{1,3,4,5,7}:{(53,1),(54,1),(70,1),(73,1),(75,1),(99,1)}
        65:{2,4,5,7}:{(53,1),(55,1),(71,1),(74,1)}
        66:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(75,1),(76,1)}
        67:{2,4,6}:{(57,1),(58,1),(77,1)}
        68:{3,4,5,7}:{(58,1),(60,1),(77,1),(78,1)}
        69:{3,5,6}:{(59,1),(60,1),(77,1)}
        70:{1,3,5,7}:{(60,1),(61,1),(78,1),(80,1),(82,1)}
        71:{2,3,5,7}:{(60,1),(62,1),(65,1),(81,1),(82,1)}
        72:{1,2,4,6,7}:{(61,1),(62,1),(82,1),(83,1),(93,1),(96,1)}
        73:{1,3,4,5,6}:{(63,1),(64,1),(80,1),(84,1),(102,1)}
        74:{2,4,5,6}:{(63,1),(65,1),(81,1)}
        75:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(82,1),(84,1),(85,1),(96,1)}
        76:{2,3,6,7}:{(66,1),(85,1)}
        77:{3,4,6}:{(67,1),(68,1),(69,1),(86,1)}
        78:{1,4,5,7}:{(68,1),(70,1),(86,1)}
        79:{2,3,4,5,7}:{(68,1),(71,1),(87,1),(88,1),(92,1),(101,1)}
        80:{1,3,5,6}:{(69,1),(70,1),(86,1),(89,1),(98,1)}
        81:{2,3,5,6}:{(69,1),(71,1),(74,1),(87,1),(89,1)}
        82:{1,2,5,7}:{(70,1),(71,1),(72,1),(89,1)}
        83:{1,2,3,6,7}:{(72,1),(76,1),(90,1),(98,1)}
        84:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(89,1),(91,1),(100,1)}
        85:{2,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,4,6}:{(77,1),(78,1),(80,1)}
        87:{2,3,4,6}:{(77,1),(79,1),(81,1),(93,1)}
        88:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(93,1),(94,1),(96,1),(103,1)}
        89:{1,2,5,6}:{(80,1),(81,1),(82,1),(93,1)}
        90:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(94,1),(95,1),(96,1)}
        91:{2,3,5,6}:{(84,1),(85,1),(97,1)}
        92:{2,3,4,7}:{(85,1),(96,1),(97,1)}
        93:{1,2,4,6}:{(86,1),(87,1),(88,1),(89,1),(98,1)}
        94:{1,3,5,7}:{(88,1),(98,1),(99,1),(104,1)}
        95:{1,2,3,5,6}:{(89,1),(90,1),(91,1),(98,1),(100,1),(104,1)}
        96:{1,2,4,7}:{(90,1),(92,1),(99,1),(100,1)}
        97:{2,3,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{1,3,6}:{(93,1),(94,1)}
        99:{1,3,4,7}:{(94,1),(96,1),(102,1)}
       100:{1,2,4,6}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{2,3,4,5}:{(97,1),(103,1)}
       102:{1,3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       103:{1,2,4,5}:{(100,1),(101,1),(104,1)}
       104:{1,3,5}:{(102,1),(103,1)}

1958 :   0:{2,3,4,5,7}:{(4,1),(5,1),(7,1),(53,1),(65,1),(68,1),(102,1),(110,1),(116,1),(124,1)}
         1:{2,3,4,6,7}:{(5,1),(6,1),(7,1),(9,1),(33,1),(68,1),(73,1)}
         2:{2,3,5,6,7}:{(7,1),(8,1),(9,1),(10,1),(33,1),(64,1)}
         3:{2,4,5,6,7}:{(9,1),(10,1),(107,1)}
         4:{1,2,4,5,7}:{(0,1),(11,1),(12,1),(15,1),(35,1),(46,1),(78,1),(82,1)}
         5:{2,3,4,6}:{(0,1),(12,1),(13,1),(83,1),(90,1),(144,1),(151,1)}
         6:{1,2,4,6,7}:{(1,1),(12,1),(14,1),(15,1),(46,1)}
         7:{2,3,5,7}:{(1,1),(13,1),(15,1),(16,1),(47,1),(100,1)}
         8:{1,2,5,6,7}:{(2,1),(15,1),(17,1),(18,1),(20,1),(86,1),(100,1)}
         9:{2,4,6,7}:{(2,1),(16,1),(19,1),(90,1)}
        10:{3,5,6,7}:{(3,1),(19,1),(20,1),(137,1)}
        11:{1,3,5,7}:{(4,1),(22,1),(23,1),(58,1),(116,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(23,1),(24,1),(59,1)}
        13:{2,3,5,6}:{(5,1),(7,1),(24,1),(25,1),(60,1),(102,1),(127,1)}
        14:{1,3,6,7}:{(6,1),(23,1),(29,1),(33,1)}
        15:{1,2,5,7}:{(6,1),(7,1),(24,1),(29,1)}
        16:{2,4,5,7}:{(7,1),(9,1),(25,1),(31,1)}
        17:{1,3,5,6,7}:{(8,1),(29,1),(32,1),(33,1),(66,1),(72,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(30,1),(32,1),(33,1),(34,1),(73,1),(74,1),(115,1)}
        19:{3,4,6,7}:{(9,1),(10,1),(31,1),(33,1),(34,1),(120,1)}
        20:{1,5,6,7}:{(10,1),(34,1),(163,1)}
        21:{1,2,3,5,7}:{(11,1),(35,1),(36,1),(75,1),(78,1)}
        22:{1,3,4,7}:{(11,1),(35,1),(38,1),(46,1),(88,1)}
        23:{1,3,6}:{(11,1),(12,1),(144,1)}
        24:{1,2,5,6}:{(12,1),(13,1),(15,1),(39,1),(78,1)}
        25:{2,4,5,6}:{(13,1),(16,1),(41,1),(90,1),(130,1)}
        26:{1,2,3,6,7}:{(14,1),(36,1),(42,1),(43,1),(52,1),(128,1),(144,1),(187,1),(189,1)}
        27:{2,3,4,6,7}:{(42,1),(44,1),(76,1),(88,1),(90,1),(128,1),(144,1),(148,1),(175,1)}
        28:{1,3,4,6,7}:{(14,1),(38,1),(42,1),(45,1),(46,1),(50,1),(88,1),(93,1),(144,1)}
        29:{1,3,5,7}:{(14,1),(15,1),(39,1),(46,1),(47,1)}
        30:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(40,1),(46,1),(47,1),(48,1),(49,1),(96,1),(97,1),(100,1)}
        31:{3,4,5,7}:{(16,1),(19,1),(41,1),(47,1),(48,1)}
        32:{1,4,6,7}:{(17,1),(46,1),(49,1),(50,1),(93,1)}
        33:{3,6,7}:{(18,1),(47,1),(144,1)}
        34:{1,4,6,7}:{(19,1),(20,1),(48,1),(51,1),(149,1)}
        35:{1,2,4,7}:{(21,1),(22,1),(53,1),(55,1)}
        36:{1,2,3,6}:{(21,1),(23,1),(55,1),(101,1)}
        37:{1,3,4,5,7}:{(22,1),(54,1),(57,1),(58,1),(67,1),(108,1),(116,1),(121,1),(156,1),(190,1)}
        38:{1,3,4,6}:{(22,1),(23,1),(55,1),(58,1),(59,1),(106,1)}
        39:{1,3,5,6}:{(23,1),(24,1),(29,1),(58,1),(59,1),(60,1)}
        40:{1,2,4,5,6}:{(24,1),(25,1),(30,1),(59,1),(60,1),(61,1),(71,1),(105,1),(112,1),(113,1),(115,1),(127,1)}
        41:{3,4,5,6}:{(25,1),(31,1),(60,1),(61,1),(120,1),(156,1)}
        42:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(55,1),(62,1),(63,1),(73,1),(115,1),(173,1)}
        43:{1,2,3,5,7}:{(26,1),(29,1),(56,1),(62,1),(63,1),(70,1),(116,1),(154,1),(171,1),(172,1),(194,1)}
        44:{2,3,5,7}:{(27,1),(62,1),(64,1),(65,1),(102,1),(116,1),(162,1)}
        45:{1,3,5,7}:{(28,1),(58,1),(62,1),(66,1),(67,1),(72,1),(116,1)}
        46:{1,4,7}:{(29,1),(59,1),(68,1)}
        47:{3,5,7}:{(30,1),(33,1),(60,1),(68,1)}
        48:{1,4,5,7}:{(31,1),(34,1),(61,1),(69,1)}
        49:{1,4,5,7}:{(32,1),(71,1),(72,1)}
        50:{3,4,6,7}:{(32,1),(33,1),(68,1),(72,1),(73,1),(123,1)}
        51:{1,3,6,7}:{(33,1),(34,1),(69,1),(74,1),(169,1)}
        52:{2,3,6,7}:{(33,1),(70,1),(73,1),(74,1),(170,1)}
        53:{2,3,4,7}:{(35,1),(75,1),(76,1),(88,1),(175,1)}
        54:{1,2,4,5,7}:{(35,1),(37,1),(75,1),(77,1),(78,1),(130,1),(131,1),(175,1)}
        55:{1,2,4,6}:{(35,1),(36,1),(38,1),(76,1),(78,1)}
        56:{1,2,3,5,6}:{(36,1),(39,1),(43,1),(78,1),(79,1),(85,1),(86,1),(129,1),(133,1),(144,1),(180,1),(182,1),(183,1),(189,1)}
        57:{1,3,4,6}:{(37,1),(77,1),(81,1),(93,1),(144,1),(149,1),(176,1)}
        58:{1,3,5}:{(38,1),(78,1),(82,1),(133,1)}
        59:{1,4,6}:{(39,1),(46,1),(82,1),(83,1)}
        60:{3,5,6}:{(40,1),(47,1),(83,1),(133,1),(144,1)}
        61:{1,4,5,6}:{(41,1),(48,1),(84,1),(149,1),(177,1)}
        62:{1,2,5,7}:{(42,1),(44,1),(45,1),(78,1),(86,1),(100,1),(184,1)}
        63:{1,2,4,7}:{(43,1),(46,1),(79,1),(88,1),(96,1),(175,1),(200,1)}
        64:{2,3,5,6}:{(44,1),(86,1),(90,1),(137,1),(144,1)}
        65:{2,4,5,7}:{(44,1),(90,1),(91,1),(130,1),(175,1)}
        66:{1,3,5,6}:{(45,1),(86,1),(93,1),(99,1),(144,1)}
        67:{1,4,5,7}:{(45,1),(46,1),(82,1),(93,1),(94,1)}
        68:{3,4,7}:{(46,1),(47,1),(83,1),(96,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(51,1),(84,1),(95,1),(97,1)}
        70:{2,3,5,7}:{(47,1),(52,1),(85,1),(96,1),(97,1),(100,1),(152,1)}
        71:{1,4,5,6}:{(49,1),(93,1),(99,1)}
        72:{3,5,7}:{(49,1),(50,1),(99,1),(100,1)}
        73:{2,4,6,7}:{(50,1),(52,1),(96,1),(100,1),(151,1)}
        74:{1,2,6,7}:{(51,1),(52,1),(97,1),(189,1)}
        75:{2,3,5,7}:{(53,1),(54,1),(101,1),(102,1),(116,1)}
        76:{2,3,4,6}:{(53,1),(55,1),(101,1),(102,1),(106,1),(155,1)}
        77:{1,2,4,6}:{(54,1),(57,1),(101,1),(104,1),(155,1)}
        78:{1,2,5}:{(55,1),(58,1),(102,1)}
        79:{1,2,4,6}:{(56,1),(59,1),(63,1),(105,1),(106,1),(112,1),(155,1),(191,1)}
        80:{1,3,4,6,7}:{(57,1),(103,1),(108,1),(122,1),(168,1),(173,1),(190,1)}
        81:{1,3,5,6}:{(57,1),(58,1),(104,1),(108,1),(109,1),(158,1),(163,1)}
        82:{1,4,5}:{(58,1),(59,1),(110,1)}
        83:{3,4,6}:{(59,1),(60,1),(68,1),(110,1),(112,1)}
        84:{1,3,5,6}:{(60,1),(61,1),(69,1),(111,1),(113,1),(159,1),(169,1)}
        85:{2,3,5,6}:{(60,1),(70,1),(112,1),(113,1),(127,1),(160,1),(167,1),(170,1)}
        86:{1,2,5,6}:{(62,1),(64,1),(66,1),(115,1),(127,1),(163,1)}
        87:{1,2,4,5,7}:{(62,1),(63,1),(65,1),(67,1),(105,1),(115,1),(116,1),(121,1),(124,1),(171,1)}
        88:{3,4,7}:{(63,1),(106,1),(116,1)}
        89:{2,3,5,6,7}:{(64,1),(114,1),(119,1),(154,1),(162,1),(168,1)}
        90:{2,4,6}:{(64,1),(65,1),(120,1)}
        91:{3,4,5,7}:{(65,1),(116,1),(120,1),(121,1),(156,1),(162,1),(190,1)}
        92:{1,3,5,6,7}:{(66,1),(108,1),(114,1),(122,1),(126,1),(168,1)}
        93:{1,4,6}:{(66,1),(67,1),(123,1)}
        94:{3,4,5,7}:{(67,1),(68,1),(72,1),(110,1),(116,1),(123,1),(124,1)}
        95:{1,3,4,7}:{(68,1),(69,1),(111,1),(125,1)}
        96:{2,4,7}:{(68,1),(70,1),(112,1)}
        97:{1,2,5,7}:{(69,1),(70,1),(74,1),(113,1),(125,1)}
        98:{1,4,5,6,7}:{(71,1),(122,1),(126,1)}
        99:{3,5,6}:{(71,1),(72,1),(123,1),(127,1)}
       100:{2,5,7}:{(72,1),(73,1),(127,1)}
       101:{2,3,6}:{(75,1),(77,1),(144,1)}
       102:{2,3,5}:{(76,1),(78,1),(130,1),(133,1)}
       103:{1,2,4,6,7}:{(77,1),(80,1),(128,1),(131,1),(175,1)}
       104:{1,2,5,6}:{(77,1),(78,1),(81,1),(129,1),(131,1)}
       105:{1,2,4,5}:{(78,1),(79,1),(82,1),(130,1),(133,1),(141,1),(177,1),(182,1)}
       106:{3,4,6}:{(79,1),(88,1),(133,1),(144,1)}
       107:{2,4,5,6}:{(90,1),(136,1),(137,1)}
       108:{1,3,5,7}:{(80,1),(81,1),(131,1),(138,1),(179,1),(184,1)}
       109:{1,4,5,6}:{(81,1),(82,1),(93,1),(138,1),(139,1)}
       110:{3,4,5}:{(82,1),(83,1),(133,1),(141,1)}
       111:{1,3,4,6}:{(83,1),(84,1),(95,1),(140,1),(142,1)}
       112:{2,4,6}:{(83,1),(85,1),(96,1),(141,1)}
       113:{1,2,5,6}:{(84,1),(85,1),(97,1),(142,1),(182,1),(189,1)}
       114:{1,2,5,6,7}:{(86,1),(89,1),(92,1),(131,1),(143,1),(153,1),(184,1)}
       115:{1,2,4,6}:{(86,1),(87,1),(90,1),(93,1),(144,1),(149,1),(151,1),(189,1)}
       116:{3,5,7}:{(87,1),(88,1),(133,1),(144,1)}
       117:{1,3,4,7}:{(88,1),(134,1),(145,1),(147,1),(200,1),(209,1)}
       118:{2,3,4,7}:{(88,1),(96,1),(135,1),(146,1),(147,1),(152,1)}
       119:{2,4,6,7}:{(89,1),(90,1),(136,1),(148,1),(175,1)}
       120:{3,4,6}:{(90,1),(91,1),(137,1),(144,1),(149,1)}
       121:{1,4,5,7}:{(91,1),(145,1),(149,1),(177,1),(184,1),(200,1)}
       122:{1,4,6,7}:{(92,1),(93,1),(138,1),(150,1)}
       123:{3,4,6}:{(93,1),(94,1),(99,1),(144,1),(151,1)}
       124:{2,4,5,7}:{(94,1),(96,1),(100,1),(141,1),(146,1),(151,1)}
       125:{1,2,4,7}:{(95,1),(96,1),(97,1),(142,1),(152,1)}
       126:{3,5,6,7}:{(98,1),(99,1),(150,1),(153,1)}
       127:{2,5,6}:{(99,1),(100,1),(151,1)}
       128:{2,3,6,7}:{(101,1),(103,1),(154,1),(168,1)}
       129:{2,3,5,6}:{(101,1),(102,1),(104,1),(154,1),(155,1),(158,1)}
       130:{2,4,5}:{(102,1),(155,1),(156,1)}
       131:{1,2,5,7}:{(103,1),(104,1),(108,1),(154,1)}
       132:{1,2,4,5,6}:{(104,1),(105,1),(107,1),(109,1),(115,1),(155,1),(157,1),(158,1),(163,1),(165,1),(191,1),(196,1)}
       133:{3,5}:{(105,1),(106,1)}
       134:{1,3,4,6}:{(106,1),(117,1),(159,1),(161,1),(169,1),(191,1),(207,1),(208,1)}
       135:{2,3,4,6}:{(106,1),(112,1),(118,1),(160,1),(161,1),(167,1),(170,1),(198,1)}
       136:{2,4,5,7}:{(107,1),(119,1),(162,1)}
       137:{3,5,6}:{(107,1),(120,1),(162,1),(163,1)}
       138:{1,4,5,7}:{(108,1),(109,1),(122,1),(164,1)}
       139:{3,4,5,6}:{(109,1),(110,1),(123,1),(158,1),(164,1),(165,1)}
       140:{1,3,4,5}:{(110,1),(111,1),(159,1),(166,1),(208,1)}
       141:{2,4,5}:{(110,1),(112,1),(160,1)}
       142:{1,2,4,6}:{(111,1),(112,1),(113,1),(125,1),(166,1),(167,1)}
       143:{1,2,4,6,7}:{(114,1),(115,1),(119,1),(122,1),(157,1),(168,1),(173,1),(174,1),(199,1)}
       144:{3,6}:{(115,1),(116,1)}
       145:{1,3,5,7}:{(116,1),(117,1),(121,1),(159,1),(169,1),(171,1)}
       146:{2,3,5,7}:{(116,1),(118,1),(124,1),(160,1),(170,1),(171,1)}
       147:{1,2,4,7}:{(117,1),(118,1),(161,1),(171,1),(172,1)}
       148:{3,4,6,7}:{(119,1),(120,1),(162,1),(168,1),(173,1),(190,1)}
       149:{1,4,6}:{(120,1),(121,1),(163,1),(169,1)}
       150:{3,4,6,7}:{(122,1),(123,1),(126,1),(164,1),(168,1),(174,1)}
       151:{2,4,6}:{(123,1),(124,1),(127,1),(170,1)}
       152:{2,3,7}:{(125,1),(167,1)}
       153:{2,5,6,7}:{(126,1),(127,1),(174,1)}
       154:{2,3,5,7}:{(128,1),(129,1),(131,1),(175,1),(179,1)}
       155:{2,4,6}:{(129,1),(130,1),(175,1),(176,1)}
       156:{3,4,5}:{(130,1),(133,1),(176,1),(177,1)}
       157:{1,2,4,5,7}:{(131,1),(132,1),(136,1),(138,1),(143,1),(175,1),(179,1),(184,1),(185,1),(200,1),(204,1)}
       158:{3,5,6}:{(132,1),(133,1),(144,1),(176,1),(179,1)}
       159:{1,3,5}:{(133,1),(134,1),(177,1),(182,1)}
       160:{2,3,5}:{(133,1),(135,1),(141,1),(182,1)}
       161:{1,2,4,6}:{(134,1),(135,1),(147,1),(182,1),(183,1),(189,1),(205,1)}
       162:{3,5,7}:{(136,1),(137,1),(148,1),(184,1)}
       163:{1,5,6}:{(137,1),(149,1),(184,1)}
       164:{3,4,5,7}:{(138,1),(139,1),(150,1),(179,1),(185,1)}
       165:{2,4,5,6}:{(139,1),(141,1),(151,1),(181,1),(185,1)}
       166:{1,2,4,5}:{(140,1),(141,1),(142,1),(182,1),(186,1),(205,1)}
       167:{2,3,6}:{(142,1),(152,1),(186,1)}
       168:{3,6,7}:{(143,1),(144,1),(179,1)}
       169:{1,3,6}:{(144,1),(145,1),(149,1),(189,1)}
       170:{2,3,6}:{(144,1),(146,1),(151,1),(189,1)}
       171:{1,2,5,7}:{(145,1),(146,1),(147,1),(182,1),(189,1)}
       172:{1,2,3,7}:{(147,1),(152,1),(183,1),(209,1)}
       173:{1,4,6,7}:{(148,1),(149,1),(184,1),(187,1),(200,1)}
       174:{2,4,6,7}:{(150,1),(151,1),(153,1),(185,1),(188,1)}
       175:{2,4,7}:{(154,1),(155,1),(190,1)}
       176:{3,4,6}:{(155,1),(156,1),(158,1),(190,1),(191,1)}
       177:{1,4,5}:{(156,1),(159,1),(191,1)}
       178:{2,3,4,5}:{(156,1),(160,1),(192,1),(193,1),(198,1)}
       179:{3,5,7}:{(157,1),(158,1),(168,1),(190,1)}
       180:{1,3,5,6}:{(158,1),(159,1),(163,1),(169,1),(191,1),(194,1),(196,1),(207,1)}
       181:{2,3,5,6}:{(158,1),(160,1),(165,1),(170,1),(192,1),(195,1),(196,1)}
       182:{1,2,5}:{(159,1),(160,1),(161,1)}
       183:{1,2,3,6}:{(161,1),(167,1),(172,1),(197,1),(207,1)}
       184:{1,5,7}:{(162,1),(163,1),(173,1)}
       185:{2,4,5,7}:{(164,1),(165,1),(174,1),(195,1)}
       186:{2,3,5}:{(166,1),(167,1),(198,1)}
       187:{1,3,6,7}:{(168,1),(169,1),(173,1),(194,1),(199,1)}
       188:{2,3,6,7}:{(168,1),(170,1),(174,1),(195,1),(199,1)}
       189:{1,2,6}:{(169,1),(170,1),(171,1)}
       190:{3,4,7}:{(175,1),(176,1),(179,1),(200,1)}
       191:{1,4,6}:{(176,1),(177,1),(180,1),(200,1)}
       192:{2,3,4,6}:{(176,1),(178,1),(181,1),(201,1),(202,1)}
       193:{1,2,4,5}:{(177,1),(178,1),(182,1),(202,1),(203,1),(205,1)}
       194:{1,3,5,7}:{(179,1),(180,1),(184,1),(187,1),(200,1),(204,1),(209,1)}
       195:{2,3,5,7}:{(179,1),(181,1),(185,1),(188,1),(201,1),(204,1)}
       196:{1,2,5,6}:{(180,1),(181,1),(182,1),(189,1),(202,1),(204,1)}
       197:{1,2,3,5}:{(182,1),(183,1),(186,1),(203,1),(205,1)}
       198:{2,3,4}:{(186,1),(205,1)}
       199:{1,2,6,7}:{(187,1),(188,1),(189,1),(204,1)}
       200:{1,4,7}:{(190,1),(191,1),(194,1)}
       201:{2,3,4,7}:{(190,1),(192,1),(195,1),(206,1)}
       202:{1,2,4,6}:{(191,1),(192,1),(193,1),(196,1),(206,1),(207,1)}
       203:{1,3,5}:{(193,1),(207,1),(208,1)}
       204:{1,2,5,7}:{(194,1),(195,1),(196,1),(199,1),(206,1)}
       205:{1,2,4}:{(197,1),(198,1),(208,1)}
       206:{1,2,4,7}:{(200,1),(201,1),(202,1),(204,1),(209,1)}
       207:{1,3,6}:{(202,1),(203,1),(209,1)}
       208:{1,3,4}:{(203,1),(205,1)}
       209:{1,3,7}:{(206,1),(207,1)}

1959 :   0:{1,2,3,5,6,7}:{(2,1),(12,1),(22,1),(44,1),(45,1),(49,1),(50,1),(58,1),(60,1),(96,1),(100,1),(110,1),(136,1),(142,1),(165,1)}
         1:{1,2,4,5,6,7}:{(3,1),(11,1),(20,1),(21,1),(22,1),(57,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(69,1),(70,1),(84,1),(125,1),(133,1),(154,1),(172,1)}
         3:{3,5,6,7}:{(1,1),(8,1),(25,1),(83,1)}
         4:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(47,1),(48,1),(49,1),(146,1)}
         5:{3,4,6,7}:{(2,1),(12,1),(43,1),(60,1),(111,1),(142,1),(145,1),(166,1)}
         6:{2,3,4,5,7}:{(15,1),(16,1),(18,1),(48,1),(93,1),(104,1),(111,1),(140,1),(151,1)}
         7:{2,3,4,6,7}:{(15,1),(18,1),(19,1),(21,1),(60,1),(111,1)}
         8:{3,4,6,7}:{(3,1),(17,1),(20,1),(21,1),(43,1),(60,1),(111,1)}
         9:{1,3,5,6,7}:{(3,1),(20,1),(22,1),(44,1),(56,1),(58,1),(60,1)}
        10:{2,3,5,6,7}:{(3,1),(18,1),(21,1),(22,1),(45,1),(60,1),(110,1)}
        11:{1,2,4,5,6}:{(4,1),(25,1),(69,1),(70,1),(71,1)}
        12:{3,5,7}:{(4,1),(5,1),(25,1),(162,1)}
        13:{1,3,4,6,7}:{(5,1),(27,1),(29,1),(37,1),(69,1),(81,1),(84,1),(124,1),(129,1),(158,1),(161,1),(172,1)}
        14:{2,3,4,6,7}:{(5,1),(28,1),(29,1),(70,1),(85,1),(115,1),(119,1),(124,1),(129,1),(133,1),(154,1),(160,1)}
        15:{2,3,4,6}:{(6,1),(31,1),(32,1),(70,1),(124,1),(131,1)}
        16:{1,2,4,5,7}:{(6,1),(32,1),(33,1),(36,1),(73,1),(84,1),(126,1),(132,1)}
        17:{3,4,5,7}:{(8,1),(30,1),(34,1),(35,1),(83,1)}
        18:{2,3,5,7}:{(7,1),(31,1),(35,1),(36,1),(83,1)}
        19:{1,2,4,6,7}:{(7,1),(32,1),(36,1),(37,1),(84,1)}
        20:{1,4,6,7}:{(8,1),(9,1),(34,1),(69,1),(84,1)}
        21:{2,4,6,7}:{(8,1),(10,1),(35,1),(70,1),(133,1)}
        22:{1,2,5,6,7}:{(9,1),(10,1),(36,1),(39,1),(71,1),(82,1)}
        23:{1,3,4,5,7}:{(40,1),(41,1),(47,1),(55,1),(87,1),(104,1),(109,1),(166,1),(168,1)}
        24:{1,2,4,5,6,7}:{(11,1),(42,1),(94,1),(95,1),(96,1),(135,1)}
        25:{3,5,6}:{(11,1),(12,1),(43,1)}
        26:{3,4,5,7}:{(12,1),(43,1),(47,1),(48,1),(104,1),(111,1),(151,1),(166,1),(168,1)}
        27:{1,3,5,7}:{(12,1),(13,1),(44,1),(47,1),(49,1),(104,1),(109,1),(171,1)}
        28:{2,3,5,7}:{(12,1),(14,1),(45,1),(48,1),(49,1),(104,1),(140,1),(170,1)}
        29:{1,2,4,6,7}:{(13,1),(14,1),(49,1),(50,1),(99,1),(101,1),(105,1),(169,1)}
        30:{3,4,5,6}:{(17,1),(43,1),(51,1),(52,1),(107,1),(168,1)}
        31:{2,3,5,6}:{(15,1),(18,1),(52,1),(53,1),(107,1),(140,1)}
        32:{1,2,4,6}:{(15,1),(16,1),(53,1),(54,1),(108,1)}
        33:{1,3,5,7}:{(16,1),(54,1),(55,1),(104,1),(109,1)}
        34:{1,4,5,7}:{(17,1),(20,1),(51,1),(56,1)}
        35:{2,4,5,7}:{(17,1),(18,1),(21,1),(52,1)}
        36:{1,2,5,7}:{(18,1),(19,1),(53,1),(58,1)}
        37:{1,3,6,7}:{(19,1),(54,1),(58,1),(60,1)}
        38:{1,3,4,6,7}:{(20,1),(56,1),(59,1),(60,1),(97,1),(111,1)}
        39:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(57,1),(60,1),(99,1)}
        40:{1,3,4,6}:{(23,1),(63,1),(64,1),(69,1),(124,1),(156,1)}
        41:{1,2,4,5,7}:{(23,1),(64,1),(65,1),(73,1),(114,1),(126,1),(154,1),(157,1)}
        42:{3,5,6,7}:{(24,1),(25,1),(66,1),(153,1)}
        43:{3,4,6}:{(25,1),(26,1),(69,1),(70,1),(124,1)}
        44:{1,3,5,6}:{(25,1),(27,1),(69,1),(71,1),(124,1)}
        45:{2,3,5,6}:{(25,1),(28,1),(70,1),(71,1),(124,1)}
        46:{1,2,3,5,7}:{(33,1),(65,1),(72,1),(73,1),(126,1)}
        47:{1,4,5,7}:{(26,1),(27,1),(69,1),(84,1),(132,1),(172,1),(173,1)}
        48:{2,4,5,7}:{(26,1),(28,1),(70,1),(133,1),(154,1),(157,1),(164,1)}
        49:{1,2,5,7}:{(27,1),(28,1),(29,1),(71,1),(126,1),(174,1)}
        50:{1,2,3,6,7}:{(29,1),(37,1),(72,1),(77,1),(85,1),(115,1),(124,1),(158,1),(159,1)}
        51:{1,4,5,6}:{(30,1),(34,1),(69,1),(78,1),(173,1)}
        52:{2,4,5,6}:{(30,1),(31,1),(35,1),(70,1),(157,1)}
        53:{1,2,5,6}:{(31,1),(32,1),(36,1),(80,1),(126,1)}
        54:{1,3,6}:{(32,1),(33,1),(124,1)}
        55:{1,3,4,7}:{(33,1),(73,1),(81,1),(84,1),(129,1)}
        56:{1,3,5,7}:{(34,1),(38,1),(78,1),(82,1),(83,1)}
        57:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(39,1),(79,1),(82,1),(83,1),(84,1),(133,1)}
        58:{1,3,5,7}:{(36,1),(37,1),(80,1),(83,1),(84,1)}
        59:{1,2,4,6,7}:{(38,1),(82,1),(85,1),(122,1),(133,1)}
        60:{3,6,7}:{(39,1),(83,1),(124,1)}
        61:{1,3,4,6,7}:{(40,1),(87,1),(88,1),(94,1),(142,1),(166,1)}
        62:{3,4,5,6}:{(43,1),(86,1),(89,1),(90,1),(138,1),(151,1)}
        63:{1,3,5,6}:{(40,1),(87,1),(89,1),(91,1),(109,1),(138,1)}
        64:{1,2,4,6}:{(40,1),(41,1),(91,1),(92,1),(139,1)}
        65:{2,3,5,7}:{(41,1),(92,1),(93,1),(104,1),(140,1)}
        66:{3,4,6,7}:{(42,1),(43,1),(86,1),(94,1),(95,1),(142,1),(166,1)}
        67:{1,3,5,6,7}:{(42,1),(44,1),(87,1),(94,1),(96,1),(142,1),(165,1)}
        68:{2,3,5,6,7}:{(42,1),(45,1),(95,1),(96,1),(134,1),(136,1),(142,1)}
        69:{1,4,6}:{(43,1),(44,1),(47,1)}
        70:{2,4,6}:{(43,1),(45,1),(48,1)}
        71:{1,2,5,6}:{(44,1),(45,1),(49,1),(99,1)}
        72:{1,2,3,6}:{(46,1),(54,1),(92,1),(101,1)}
        73:{1,2,4,7}:{(46,1),(55,1),(93,1),(101,1)}
        74:{1,3,4,5,7}:{(47,1),(56,1),(97,1),(102,1),(104,1),(111,1),(149,1),(151,1),(171,1)}
        75:{2,3,4,5,7}:{(48,1),(98,1),(103,1),(104,1),(134,1),(148,1),(166,1),(168,1),(170,1)}
        76:{1,2,4,5,7}:{(47,1),(48,1),(49,1),(99,1),(104,1),(105,1),(146,1)}
        77:{1,2,3,5,7}:{(49,1),(50,1),(58,1),(100,1),(104,1),(105,1),(110,1),(136,1),(165,1)}
        78:{1,3,5,6}:{(51,1),(56,1),(97,1),(106,1),(107,1),(171,1)}
        79:{1,2,4,5,6}:{(51,1),(52,1),(53,1),(57,1),(99,1),(106,1),(107,1),(108,1),(146,1),(150,1)}
        80:{1,3,5,6}:{(53,1),(54,1),(58,1),(107,1),(108,1),(109,1)}
        81:{1,3,4,6}:{(54,1),(55,1),(101,1),(108,1),(109,1),(145,1)}
        82:{1,2,5,7}:{(56,1),(59,1),(106,1),(110,1)}
        83:{3,5,7}:{(57,1),(60,1),(107,1),(111,1)}
        84:{1,4,7}:{(58,1),(108,1),(111,1)}
        85:{2,3,6,7}:{(59,1),(60,1),(110,1),(143,1)}
        86:{3,4,5,7}:{(62,1),(66,1),(112,1),(113,1),(153,1)}
        87:{1,3,5,7}:{(61,1),(63,1),(112,1),(114,1),(153,1)}
        88:{1,2,4,6,7}:{(61,1),(64,1),(114,1),(115,1),(154,1)}
        89:{1,4,5,6}:{(62,1),(63,1),(69,1),(112,1),(132,1)}
        90:{2,4,5,6}:{(62,1),(70,1),(113,1),(116,1),(164,1)}
        91:{1,2,5,6}:{(63,1),(64,1),(114,1),(118,1),(126,1)}
        92:{2,3,6}:{(64,1),(65,1),(124,1)}
        93:{2,3,4,7}:{(65,1),(73,1),(119,1),(129,1),(154,1)}
        94:{1,4,6,7}:{(66,1),(67,1),(69,1),(112,1),(172,1)}
        95:{2,4,6,7}:{(66,1),(68,1),(70,1),(113,1),(154,1)}
        96:{1,2,5,6,7}:{(67,1),(68,1),(71,1),(114,1),(121,1),(152,1)}
        97:{1,3,4,6}:{(69,1),(74,1),(78,1),(122,1),(124,1),(131,1)}
        98:{2,3,4,6}:{(70,1),(75,1),(116,1),(123,1),(124,1),(156,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(71,1),(76,1),(124,1)}
       100:{1,2,3,5,6}:{(71,1),(72,1),(77,1),(80,1),(118,1),(124,1),(125,1),(126,1),(130,1),(155,1),(159,1),(162,1),(174,1)}
       101:{1,2,4,6}:{(72,1),(73,1),(81,1),(119,1),(126,1)}
       102:{1,2,4,5,7}:{(74,1),(82,1),(122,1),(127,1),(133,1),(163,1),(164,1),(174,1)}
       103:{1,2,4,5,7}:{(75,1),(123,1),(128,1),(152,1),(163,1),(172,1),(173,1),(174,1)}
       104:{3,5,7}:{(76,1),(124,1),(129,1),(162,1)}
       105:{1,2,4,7}:{(77,1),(84,1),(125,1),(129,1),(133,1),(154,1),(172,1)}
       106:{1,2,5,6}:{(78,1),(82,1),(122,1),(130,1),(174,1)}
       107:{3,5,6}:{(79,1),(83,1),(124,1),(131,1),(162,1)}
       108:{1,4,6}:{(80,1),(84,1),(131,1),(132,1)}
       109:{1,3,5}:{(81,1),(126,1),(132,1),(162,1)}
       110:{2,3,5,7}:{(82,1),(83,1),(85,1),(130,1),(133,1)}
       111:{3,4,7}:{(83,1),(84,1),(131,1),(133,1)}
       112:{1,4,5,7}:{(86,1),(87,1),(89,1),(94,1)}
       113:{2,4,5,7}:{(86,1),(90,1),(95,1),(134,1)}
       114:{1,2,5,7}:{(87,1),(88,1),(91,1),(136,1)}
       115:{2,3,6,7}:{(88,1),(92,1),(136,1),(142,1)}
       116:{2,3,5,6}:{(90,1),(98,1),(134,1),(137,1),(138,1),(170,1)}
       117:{1,2,4,5,6}:{(89,1),(90,1),(91,1),(99,1),(135,1),(137,1),(138,1),(139,1),(146,1),(167,1)}
       118:{2,3,5,6}:{(91,1),(92,1),(136,1),(138,1),(139,1),(140,1)}
       119:{2,3,4,6}:{(92,1),(93,1),(101,1),(139,1),(140,1),(145,1)}
       120:{2,3,4,6,7}:{(95,1),(98,1),(134,1),(141,1),(142,1),(166,1)}
       121:{1,2,4,6,7}:{(94,1),(95,1),(96,1),(99,1),(135,1),(142,1)}
       122:{1,2,4,6}:{(97,1),(102,1),(106,1),(143,1),(150,1)}
       123:{1,2,4,6}:{(98,1),(103,1),(137,1),(144,1),(167,1)}
       124:{3,6}:{(99,1),(104,1)}
       125:{1,2,4,6}:{(100,1),(105,1),(108,1),(139,1),(145,1),(146,1),(150,1),(167,1)}
       126:{1,2,5}:{(101,1),(109,1),(140,1)}
       127:{2,3,5,7}:{(102,1),(104,1),(143,1),(148,1),(170,1)}
       128:{1,3,5,7}:{(103,1),(104,1),(144,1),(149,1),(171,1)}
       129:{3,4,7}:{(104,1),(105,1),(145,1)}
       130:{2,3,5,6}:{(106,1),(107,1),(110,1),(143,1),(150,1),(170,1)}
       131:{3,4,6}:{(107,1),(108,1),(111,1),(150,1),(151,1)}
       132:{1,4,5}:{(108,1),(109,1),(151,1)}
       133:{2,4,7}:{(110,1),(111,1),(150,1)}
       134:{2,3,5,7}:{(113,1),(116,1),(120,1),(152,1),(153,1)}
       135:{1,2,4,5,7}:{(112,1),(113,1),(114,1),(117,1),(121,1),(152,1),(153,1),(154,1),(172,1)}
       136:{2,3,5,7}:{(114,1),(115,1),(118,1),(153,1),(154,1)}
       137:{1,2,5,6}:{(116,1),(123,1),(152,1),(155,1),(174,1)}
       138:{3,5,6}:{(117,1),(124,1),(153,1),(156,1),(162,1)}
       139:{2,4,6}:{(118,1),(154,1),(156,1),(157,1)}
       140:{2,3,5}:{(119,1),(126,1),(157,1),(162,1)}
       141:{1,2,4,6,7}:{(120,1),(123,1),(152,1),(158,1),(172,1)}
       142:{3,6,7}:{(121,1),(124,1),(153,1)}
       143:{2,3,6}:{(122,1),(124,1),(127,1)}
       144:{1,3,6}:{(123,1),(124,1),(128,1)}
       145:{3,4,6}:{(124,1),(125,1),(129,1),(162,1)}
       146:{1,2,4,5}:{(125,1),(126,1),(132,1),(157,1),(162,1),(164,1),(173,1),(174,1)}
       147:{1,2,3,5,7}:{(127,1),(128,1),(159,1),(163,1),(174,1)}
       148:{2,3,4,7}:{(127,1),(129,1),(133,1),(160,1),(163,1)}
       149:{1,3,4,7}:{(128,1),(129,1),(161,1),(163,1),(172,1)}
       150:{2,4,6}:{(130,1),(131,1),(133,1),(164,1)}
       151:{3,4,5}:{(131,1),(132,1),(162,1),(164,1)}
       152:{1,2,5,7}:{(134,1),(137,1),(141,1),(165,1)}
       153:{3,5,7}:{(135,1),(138,1),(142,1),(166,1)}
       154:{2,4,7}:{(136,1),(139,1),(166,1)}
       155:{1,3,5,6}:{(137,1),(138,1),(144,1),(165,1),(167,1),(171,1)}
       156:{3,4,6}:{(138,1),(139,1),(166,1),(167,1),(168,1)}
       157:{2,4,5}:{(139,1),(140,1),(168,1)}
       158:{1,3,6,7}:{(141,1),(142,1),(144,1),(165,1)}
       159:{1,2,3,6}:{(143,1),(144,1),(147,1),(169,1)}
       160:{2,3,4,6}:{(143,1),(145,1),(148,1),(150,1),(169,1),(170,1)}
       161:{1,3,4,6}:{(144,1),(145,1),(149,1),(167,1),(169,1),(171,1)}
       162:{3,5}:{(145,1),(146,1)}
       163:{1,2,4,7}:{(147,1),(148,1),(149,1),(169,1)}
       164:{2,4,5}:{(150,1),(151,1),(170,1)}
       165:{1,3,5,7}:{(152,1),(153,1),(155,1),(158,1),(172,1)}
       166:{3,4,7}:{(153,1),(154,1),(156,1),(172,1)}
       167:{1,4,6}:{(155,1),(156,1),(172,1),(173,1)}
       168:{3,4,5}:{(156,1),(157,1),(162,1),(173,1)}
       169:{1,2,4,6}:{(159,1),(160,1),(161,1),(163,1),(174,1)}
       170:{2,3,5}:{(160,1),(162,1),(164,1),(174,1)}
       171:{1,3,5}:{(161,1),(162,1),(173,1),(174,1)}
       172:{1,4,7}:{(165,1),(166,1),(167,1)}
       173:{1,4,5}:{(167,1),(168,1),(171,1)}
       174:{1,2,5}:{(169,1),(170,1),(171,1)}

1960 :   0:{1,2,4,5,6,7}:{(1,1),(8,1),(9,1),(10,1),(20,1),(30,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(37,1),(48,1)}
         2:{1,2,3,5,6,7}:{(6,1),(10,1),(21,1),(31,1),(58,1),(59,1),(60,1),(61,1),(63,1),(65,1),(109,1),(110,1),(152,1),(155,1),(168,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(31,1),(54,1),(67,1)}
         4:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(26,1),(31,1),(58,1),(63,1)}
         5:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(24,1),(31,1),(59,1),(65,1)}
         6:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(78,1),(79,1),(86,1),(88,1),(135,1),(166,1),(173,1)}
         7:{3,4,5,7}:{(3,1),(15,1),(16,1),(17,1),(48,1)}
         8:{1,4,6,7}:{(3,1),(4,1),(16,1),(78,1),(86,1)}
         9:{2,4,6,7}:{(3,1),(5,1),(17,1),(79,1),(88,1)}
        10:{1,2,5,6,7}:{(4,1),(5,1),(18,1),(42,1),(45,1),(83,1)}
        11:{1,2,4,5,7}:{(6,1),(20,1),(21,1),(55,1),(56,1),(60,1),(154,1)}
        12:{3,4,6,7}:{(6,1),(21,1),(31,1),(54,1),(67,1),(152,1),(153,1),(171,1)}
        13:{2,3,4,6,7}:{(9,1),(24,1),(25,1),(31,1),(32,1),(67,1)}
        14:{1,3,4,6,7}:{(8,1),(26,1),(27,1),(31,1),(52,1),(67,1)}
        15:{3,4,5,6}:{(7,1),(28,1),(29,1),(54,1),(66,1),(172,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(26,1),(28,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(24,1),(29,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(30,1),(31,1),(107,1)}
        19:{2,3,4,5,7}:{(24,1),(32,1),(33,1),(56,1),(67,1),(108,1),(114,1),(119,1),(157,1)}
        20:{1,2,4,5,6}:{(11,1),(37,1),(78,1),(79,1),(83,1)}
        21:{3,5,7}:{(11,1),(12,1),(37,1),(165,1)}
        22:{1,3,4,6,7}:{(12,1),(38,1),(40,1),(43,1),(78,1),(86,1),(96,1),(133,1),(134,1),(160,1),(161,1),(173,1)}
        23:{2,3,4,6,7}:{(12,1),(39,1),(40,1),(46,1),(79,1),(88,1),(128,1),(133,1),(134,1),(140,1),(141,1),(166,1)}
        24:{2,3,5,7}:{(13,1),(17,1),(41,1),(42,1),(48,1)}
        25:{1,2,4,6,7}:{(13,1),(42,1),(43,1),(50,1),(86,1)}
        26:{1,3,5,7}:{(14,1),(16,1),(44,1),(45,1),(48,1)}
        27:{1,2,4,6,7}:{(14,1),(45,1),(46,1),(74,1),(88,1)}
        28:{1,4,5,6}:{(15,1),(16,1),(44,1),(78,1),(174,1)}
        29:{2,4,5,6}:{(15,1),(17,1),(41,1),(79,1),(167,1)}
        30:{1,2,4,5,7}:{(16,1),(17,1),(18,1),(42,1),(45,1),(47,1),(48,1),(86,1),(88,1)}
        31:{3,6,7}:{(18,1),(48,1),(133,1)}
        32:{2,3,4,6}:{(19,1),(41,1),(50,1),(79,1),(89,1),(133,1)}
        33:{1,2,4,5,7}:{(19,1),(42,1),(50,1),(51,1),(86,1),(95,1),(136,1),(142,1)}
        34:{1,3,4,5,7}:{(26,1),(52,1),(53,1),(55,1),(67,1),(108,1),(114,1),(147,1),(170,1)}
        35:{3,4,5,7}:{(21,1),(54,1),(55,1),(56,1),(67,1),(108,1),(114,1),(171,1),(172,1)}
        36:{1,2,4,5,6,7}:{(20,1),(57,1),(105,1),(106,1),(109,1),(150,1)}
        37:{3,5,6}:{(20,1),(21,1),(54,1)}
        38:{1,3,5,7}:{(21,1),(22,1),(55,1),(58,1),(60,1),(108,1),(121,1),(170,1)}
        39:{2,3,5,7}:{(21,1),(23,1),(56,1),(59,1),(60,1),(108,1),(149,1),(157,1)}
        40:{1,2,4,6,7}:{(22,1),(23,1),(60,1),(61,1),(107,1),(111,1),(120,1),(148,1)}
        41:{2,3,5,6}:{(24,1),(29,1),(32,1),(62,1),(66,1),(157,1)}
        42:{1,2,5,7}:{(24,1),(25,1),(62,1),(63,1)}
        43:{1,3,6,7}:{(25,1),(31,1),(63,1),(71,1)}
        44:{1,3,5,6}:{(26,1),(28,1),(52,1),(64,1),(66,1),(170,1)}
        45:{1,2,5,7}:{(26,1),(27,1),(64,1),(65,1)}
        46:{2,3,6,7}:{(27,1),(31,1),(65,1),(100,1)}
        47:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(62,1),(64,1),(66,1),(107,1),(112,1),(113,1),(154,1)}
        48:{3,5,7}:{(30,1),(31,1),(66,1),(67,1)}
        49:{1,3,4,5,7}:{(55,1),(68,1),(69,1),(72,1),(108,1),(115,1),(121,1),(171,1),(172,1)}
        50:{1,2,4,6}:{(32,1),(33,1),(62,1),(71,1),(112,1)}
        51:{1,3,5,7}:{(33,1),(71,1),(72,1),(108,1),(121,1)}
        52:{1,3,4,6}:{(34,1),(44,1),(74,1),(78,1),(89,1),(133,1)}
        53:{1,2,4,5,7}:{(34,1),(45,1),(74,1),(75,1),(88,1),(127,1),(137,1),(162,1)}
        54:{3,4,6}:{(35,1),(37,1),(78,1),(79,1),(133,1)}
        55:{1,4,5,7}:{(35,1),(38,1),(78,1),(86,1),(136,1),(173,1),(174,1)}
        56:{2,4,5,7}:{(35,1),(39,1),(79,1),(88,1),(137,1),(166,1),(167,1)}
        57:{3,5,6,7}:{(36,1),(37,1),(77,1),(163,1)}
        58:{1,3,5,6}:{(37,1),(38,1),(78,1),(83,1),(133,1)}
        59:{2,3,5,6}:{(37,1),(39,1),(79,1),(83,1),(133,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(40,1),(83,1),(142,1),(162,1)}
        61:{1,2,3,6,7}:{(40,1),(43,1),(46,1),(84,1),(94,1),(126,1),(133,1),(140,1),(160,1)}
        62:{1,2,5,6}:{(41,1),(42,1),(50,1),(85,1),(142,1)}
        63:{1,3,5,7}:{(42,1),(43,1),(48,1),(85,1),(86,1)}
        64:{1,2,5,6}:{(44,1),(45,1),(74,1),(87,1),(162,1)}
        65:{2,3,5,7}:{(45,1),(46,1),(48,1),(87,1),(88,1)}
        66:{3,5,6}:{(47,1),(48,1),(89,1),(133,1),(165,1)}
        67:{3,4,7}:{(48,1),(86,1),(88,1),(89,1)}
        68:{1,3,4,6}:{(49,1),(78,1),(90,1),(92,1),(133,1),(164,1)}
        69:{1,2,4,5,7}:{(49,1),(92,1),(93,1),(95,1),(138,1),(142,1),(166,1),(167,1)}
        70:{1,2,3,5,7}:{(51,1),(93,1),(94,1),(95,1),(142,1)}
        71:{1,3,6}:{(50,1),(51,1),(133,1)}
        72:{1,3,4,7}:{(51,1),(86,1),(95,1),(96,1),(134,1)}
        73:{2,3,4,5,7}:{(56,1),(97,1),(98,1),(101,1),(108,1),(143,1),(149,1),(171,1),(172,1)}
        74:{1,2,4,6}:{(52,1),(53,1),(64,1),(100,1),(113,1)}
        75:{2,3,5,7}:{(53,1),(100,1),(101,1),(108,1),(149,1)}
        76:{3,4,5,6}:{(54,1),(102,1),(103,1),(104,1),(114,1),(151,1)}
        77:{3,4,6,7}:{(54,1),(57,1),(102,1),(105,1),(106,1),(152,1),(171,1)}
        78:{1,4,6}:{(54,1),(55,1),(58,1)}
        79:{2,4,6}:{(54,1),(56,1),(59,1)}
        80:{1,2,4,5,7}:{(55,1),(56,1),(60,1),(107,1),(108,1),(111,1),(154,1)}
        81:{1,3,5,6,7}:{(57,1),(58,1),(105,1),(109,1),(115,1),(152,1),(168,1)}
        82:{2,3,5,6,7}:{(57,1),(59,1),(106,1),(109,1),(143,1),(152,1),(155,1)}
        83:{1,2,5,6}:{(58,1),(59,1),(60,1),(107,1)}
        84:{1,2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(108,1),(110,1),(111,1),(155,1),(168,1)}
        85:{1,3,5,6}:{(62,1),(63,1),(66,1),(71,1),(112,1),(121,1)}
        86:{1,4,7}:{(63,1),(67,1),(112,1)}
        87:{2,3,5,6}:{(64,1),(65,1),(66,1),(100,1),(113,1),(149,1)}
        88:{2,4,7}:{(65,1),(67,1),(113,1)}
        89:{3,4,6}:{(66,1),(67,1),(112,1),(113,1),(114,1)}
        90:{1,3,5,6}:{(68,1),(103,1),(115,1),(116,1),(121,1),(151,1)}
        91:{1,3,4,6,7}:{(68,1),(105,1),(115,1),(117,1),(152,1),(171,1)}
        92:{1,2,4,6}:{(68,1),(69,1),(116,1),(118,1),(156,1)}
        93:{2,3,5,7}:{(69,1),(108,1),(118,1),(119,1),(157,1)}
        94:{1,2,3,6}:{(70,1),(71,1),(118,1),(120,1)}
        95:{1,2,4,7}:{(70,1),(72,1),(119,1),(120,1)}
        96:{1,3,4,6}:{(71,1),(72,1),(112,1),(120,1),(121,1),(153,1)}
        97:{2,3,4,6}:{(73,1),(79,1),(122,1),(124,1),(133,1),(164,1)}
        98:{1,2,4,5,7}:{(73,1),(124,1),(125,1),(127,1),(158,1),(162,1),(173,1),(174,1)}
        99:{1,2,3,5,7}:{(75,1),(125,1),(126,1),(127,1),(162,1)}
       100:{2,3,6}:{(74,1),(75,1),(133,1)}
       101:{2,3,4,7}:{(75,1),(88,1),(127,1),(128,1),(134,1)}
       102:{3,4,5,7}:{(76,1),(77,1),(129,1),(130,1),(163,1)}
       103:{1,4,5,6}:{(76,1),(78,1),(90,1),(129,1),(136,1)}
       104:{2,4,5,6}:{(76,1),(79,1),(122,1),(130,1),(137,1)}
       105:{1,4,6,7}:{(77,1),(78,1),(81,1),(129,1),(173,1)}
       106:{2,4,6,7}:{(77,1),(79,1),(82,1),(130,1),(166,1)}
       107:{1,2,4,6}:{(78,1),(79,1),(80,1),(83,1),(133,1)}
       108:{3,5,7}:{(80,1),(133,1),(134,1),(165,1)}
       109:{1,2,5,6,7}:{(81,1),(82,1),(83,1),(132,1),(138,1),(158,1)}
       110:{1,2,3,5,6}:{(83,1),(84,1),(85,1),(87,1),(94,1),(126,1),(133,1),(135,1),(139,1),(142,1),(159,1),(162,1),(165,1)}
       111:{1,2,4,7}:{(84,1),(86,1),(88,1),(134,1),(135,1),(166,1),(173,1)}
       112:{1,4,6}:{(85,1),(86,1),(89,1),(136,1)}
       113:{2,4,6}:{(87,1),(88,1),(89,1),(137,1)}
       114:{3,4,5}:{(89,1),(136,1),(137,1),(165,1)}
       115:{1,3,5,7}:{(90,1),(91,1),(129,1),(138,1),(163,1)}
       116:{1,2,5,6}:{(90,1),(92,1),(138,1),(139,1),(142,1)}
       117:{1,2,4,6,7}:{(91,1),(92,1),(138,1),(140,1),(166,1)}
       118:{2,3,6}:{(92,1),(93,1),(133,1)}
       119:{2,3,4,7}:{(93,1),(95,1),(134,1),(141,1),(166,1)}
       120:{1,2,4,6}:{(94,1),(95,1),(96,1),(141,1),(142,1)}
       121:{1,3,5}:{(96,1),(136,1),(142,1),(165,1)}
       122:{2,3,5,6}:{(97,1),(104,1),(143,1),(144,1),(149,1),(151,1)}
       123:{2,3,4,6,7}:{(97,1),(106,1),(143,1),(145,1),(152,1),(171,1)}
       124:{1,2,4,6}:{(97,1),(98,1),(144,1),(146,1),(169,1)}
       125:{1,3,5,7}:{(98,1),(108,1),(146,1),(147,1),(170,1)}
       126:{1,2,3,6}:{(99,1),(100,1),(146,1),(148,1)}
       127:{1,2,4,7}:{(99,1),(101,1),(147,1),(148,1)}
       128:{2,3,4,6}:{(100,1),(101,1),(113,1),(148,1),(149,1),(153,1)}
       129:{1,4,5,7}:{(102,1),(103,1),(105,1),(115,1)}
       130:{2,4,5,7}:{(102,1),(104,1),(106,1),(143,1)}
       131:{1,2,4,5,6}:{(103,1),(104,1),(107,1),(116,1),(144,1),(150,1),(151,1),(154,1),(156,1),(169,1)}
       132:{1,2,4,6,7}:{(105,1),(106,1),(107,1),(109,1),(150,1),(152,1)}
       133:{3,6}:{(107,1),(108,1)}
       134:{3,4,7}:{(108,1),(111,1),(153,1)}
       135:{1,2,4,6}:{(110,1),(111,1),(112,1),(113,1),(153,1),(154,1),(156,1),(169,1)}
       136:{1,4,5}:{(112,1),(114,1),(121,1)}
       137:{2,4,5}:{(113,1),(114,1),(149,1)}
       138:{1,2,5,7}:{(115,1),(116,1),(117,1),(155,1)}
       139:{2,3,5,6}:{(116,1),(118,1),(151,1),(155,1),(156,1),(157,1)}
       140:{2,3,6,7}:{(117,1),(118,1),(152,1),(155,1)}
       141:{2,3,4,6}:{(118,1),(119,1),(120,1),(153,1),(156,1),(157,1)}
       142:{1,2,5}:{(120,1),(121,1),(157,1)}
       143:{2,3,5,7}:{(122,1),(123,1),(130,1),(158,1),(163,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(158,1),(159,1),(162,1)}
       145:{1,2,4,6,7}:{(123,1),(124,1),(158,1),(160,1),(173,1)}
       146:{1,3,6}:{(124,1),(125,1),(133,1)}
       147:{1,3,4,7}:{(125,1),(127,1),(134,1),(161,1),(173,1)}
       148:{1,2,4,6}:{(126,1),(127,1),(128,1),(161,1),(162,1)}
       149:{2,3,5}:{(128,1),(137,1),(162,1),(165,1)}
       150:{1,2,4,5,7}:{(129,1),(130,1),(131,1),(132,1),(138,1),(158,1),(163,1),(166,1),(173,1)}
       151:{3,5,6}:{(131,1),(133,1),(163,1),(164,1),(165,1)}
       152:{3,6,7}:{(132,1),(133,1),(163,1)}
       153:{3,4,6}:{(133,1),(134,1),(135,1),(165,1)}
       154:{1,2,4,5}:{(135,1),(136,1),(137,1),(142,1),(162,1),(165,1),(167,1),(174,1)}
       155:{2,3,5,7}:{(138,1),(139,1),(140,1),(163,1),(166,1)}
       156:{2,4,6}:{(139,1),(164,1),(166,1),(167,1)}
       157:{2,3,5}:{(141,1),(142,1),(165,1),(167,1)}
       158:{1,2,5,7}:{(143,1),(144,1),(145,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(146,1),(151,1),(168,1),(169,1),(170,1)}
       160:{1,3,6,7}:{(145,1),(146,1),(152,1),(168,1)}
       161:{1,3,4,6}:{(146,1),(147,1),(148,1),(153,1),(169,1),(170,1)}
       162:{1,2,5}:{(148,1),(149,1),(170,1)}
       163:{3,5,7}:{(150,1),(151,1),(152,1),(171,1)}
       164:{3,4,6}:{(151,1),(156,1),(169,1),(171,1),(172,1)}
       165:{3,5}:{(153,1),(154,1)}
       166:{2,4,7}:{(155,1),(156,1),(171,1)}
       167:{2,4,5}:{(156,1),(157,1),(172,1)}
       168:{1,3,5,7}:{(158,1),(159,1),(160,1),(163,1),(173,1)}
       169:{1,4,6}:{(159,1),(164,1),(173,1),(174,1)}
       170:{1,3,5}:{(161,1),(162,1),(165,1),(174,1)}
       171:{3,4,7}:{(163,1),(164,1),(166,1),(173,1)}
       172:{3,4,5}:{(164,1),(165,1),(167,1),(174,1)}
       173:{1,4,7}:{(168,1),(169,1),(171,1)}
       174:{1,4,5}:{(169,1),(170,1),(172,1)}

1961 :   0:{1,3,4,5,7}:{(3,1),(4,1),(24,1),(39,1),(90,1),(132,1),(137,1),(146,1),(182,1),(184,1)}
         1:{2,3,4,5,7}:{(5,1),(6,1),(27,1),(34,1),(86,1),(133,1),(136,1),(148,1),(182,1),(186,1)}
         2:{2,4,5,6,7}:{(7,1),(41,1),(178,1)}
         3:{1,3,4,6}:{(0,1),(12,1),(13,1),(116,1),(165,1),(200,1),(201,1)}
         4:{1,2,4,5,7}:{(0,1),(13,1),(14,1),(48,1),(55,1),(103,1),(114,1),(117,1)}
         5:{2,3,4,6}:{(1,1),(16,1),(17,1),(119,1),(162,1),(200,1),(202,1)}
         6:{1,2,4,5,7}:{(1,1),(17,1),(18,1),(52,1),(55,1),(107,1),(114,1),(120,1)}
         7:{3,5,6,7}:{(2,1),(19,1),(20,1),(196,1)}
         8:{1,4,5,6,7}:{(22,1),(67,1),(151,1)}
         9:{1,3,4,6,7}:{(3,1),(24,1),(25,1),(67,1),(125,1),(132,1),(176,1)}
        10:{2,3,4,6,7}:{(5,1),(27,1),(28,1),(41,1),(92,1),(136,1),(149,1)}
        11:{3,4,5,6}:{(23,1),(30,1),(31,1),(84,1),(148,1),(187,1)}
        12:{1,3,5,6}:{(3,1),(24,1),(30,1),(32,1),(84,1),(90,1),(205,1)}
        13:{1,2,4,6}:{(3,1),(4,1),(32,1),(33,1),(85,1)}
        14:{2,3,5,7}:{(4,1),(33,1),(34,1),(86,1),(182,1)}
        15:{3,4,5,6}:{(26,1),(35,1),(36,1),(88,1),(146,1),(185,1)}
        16:{2,3,5,6}:{(5,1),(27,1),(36,1),(37,1),(86,1),(88,1),(194,1)}
        17:{1,2,4,6}:{(5,1),(6,1),(37,1),(38,1),(89,1)}
        18:{1,3,5,7}:{(6,1),(38,1),(39,1),(90,1),(182,1)}
        19:{3,4,6,7}:{(7,1),(26,1),(40,1),(41,1),(92,1),(185,1)}
        20:{1,5,6,7}:{(7,1),(40,1),(205,1)}
        21:{2,3,5,6,7}:{(7,1),(27,1),(41,1),(42,1),(92,1),(134,1)}
        22:{3,5,6,7}:{(8,1),(43,1),(45,1),(175,1)}
        23:{3,4,5,7}:{(11,1),(43,1),(46,1),(47,1),(102,1)}
        24:{1,3,5,7}:{(9,1),(12,1),(46,1),(48,1),(102,1),(195,1)}
        25:{1,2,4,6,7}:{(9,1),(13,1),(48,1),(49,1),(103,1)}
        26:{3,4,5,7}:{(15,1),(19,1),(50,1),(51,1),(106,1)}
        27:{2,3,5,7}:{(10,1),(16,1),(51,1),(52,1),(106,1),(174,1)}
        28:{1,2,4,6,7}:{(10,1),(17,1),(52,1),(53,1),(107,1)}
        29:{1,2,3,5,7}:{(14,1),(18,1),(54,1),(55,1),(114,1)}
        30:{1,4,5,6}:{(11,1),(12,1),(46,1),(120,1),(165,1)}
        31:{2,4,5,6}:{(11,1),(47,1),(56,1),(173,1),(202,1)}
        32:{1,2,5,6}:{(12,1),(13,1),(48,1),(58,1),(114,1)}
        33:{2,3,6}:{(13,1),(14,1),(200,1)}
        34:{2,3,4,7}:{(14,1),(55,1),(59,1),(103,1),(157,1)}
        35:{1,4,5,6}:{(15,1),(50,1),(60,1),(172,1),(201,1)}
        36:{2,4,5,6}:{(15,1),(16,1),(51,1),(117,1),(162,1)}
        37:{1,2,5,6}:{(16,1),(17,1),(52,1),(62,1),(114,1)}
        38:{1,3,6}:{(17,1),(18,1),(200,1)}
        39:{1,3,4,7}:{(18,1),(55,1),(63,1),(107,1),(157,1)}
        40:{1,4,6,7}:{(19,1),(20,1),(50,1),(64,1),(201,1)}
        41:{2,4,6,7}:{(19,1),(21,1),(51,1),(162,1)}
        42:{1,2,5,6,7}:{(20,1),(21,1),(52,1),(65,1),(66,1),(159,1),(174,1)}
        43:{3,4,6,7}:{(22,1),(23,1),(67,1),(68,1),(125,1),(187,1)}
        44:{1,3,5,6,7}:{(22,1),(24,1),(67,1),(69,1),(125,1),(138,1)}
        45:{2,5,6,7}:{(22,1),(68,1),(194,1)}
        46:{1,4,5,7}:{(23,1),(24,1),(30,1),(67,1)}
        47:{2,4,5,7}:{(23,1),(31,1),(68,1),(71,1)}
        48:{1,2,5,7}:{(24,1),(25,1),(32,1),(73,1)}
        49:{2,3,6,7}:{(25,1),(33,1),(73,1),(125,1)}
        50:{1,4,5,7}:{(26,1),(35,1),(40,1),(75,1)}
        51:{2,4,5,7}:{(26,1),(27,1),(36,1),(41,1)}
        52:{1,2,5,7}:{(27,1),(28,1),(37,1),(77,1)}
        53:{1,3,6,7}:{(28,1),(38,1),(77,1),(92,1)}
        54:{1,2,3,6}:{(29,1),(33,1),(38,1),(82,1)}
        55:{1,2,4,7}:{(29,1),(34,1),(39,1),(82,1)}
        56:{2,3,5,6}:{(31,1),(71,1),(80,1),(83,1),(84,1),(192,1),(207,1)}
        57:{1,2,4,5,6}:{(30,1),(31,1),(32,1),(72,1),(83,1),(84,1),(85,1),(144,1),(145,1),(178,1),(183,1),(205,1)}
        58:{2,3,5,6}:{(32,1),(33,1),(73,1),(84,1),(85,1),(86,1)}
        59:{2,3,4,6}:{(33,1),(34,1),(82,1),(85,1),(86,1),(143,1)}
        60:{1,3,5,6}:{(35,1),(75,1),(79,1),(87,1),(88,1),(193,1),(208,1)}
        61:{1,2,4,5,6}:{(35,1),(36,1),(37,1),(76,1),(87,1),(88,1),(89,1),(144,1),(147,1),(151,1),(183,1),(194,1)}
        62:{1,3,5,6}:{(37,1),(38,1),(77,1),(88,1),(89,1),(90,1)}
        63:{1,3,4,6}:{(38,1),(39,1),(82,1),(89,1),(90,1),(143,1)}
        64:{1,3,6,7}:{(40,1),(75,1),(91,1),(92,1),(208,1)}
        65:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(76,1),(91,1),(92,1),(93,1),(149,1),(183,1)}
        66:{1,3,5,6,7}:{(42,1),(77,1),(92,1),(93,1),(138,1),(150,1)}
        67:{1,4,6,7}:{(43,1),(44,1),(46,1),(165,1)}
        68:{2,4,6,7}:{(43,1),(45,1),(47,1),(94,1),(202,1)}
        69:{1,2,5,6,7}:{(44,1),(45,1),(48,1),(95,1),(96,1),(159,1),(195,1)}
        70:{1,2,3,6,7}:{(49,1),(53,1),(54,1),(99,1),(100,1),(121,1),(152,1),(200,1),(209,1)}
        71:{2,3,5,7}:{(47,1),(56,1),(94,1),(98,1),(101,1),(102,1)}
        72:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(57,1),(95,1),(101,1),(102,1),(103,1),(154,1),(160,1),(195,1)}
        73:{2,3,5,7}:{(48,1),(49,1),(58,1),(102,1),(103,1)}
        74:{2,3,4,6,7}:{(49,1),(59,1),(100,1),(103,1),(104,1),(153,1),(157,1),(162,1),(200,1)}
        75:{1,3,5,7}:{(50,1),(60,1),(64,1),(97,1),(105,1),(106,1)}
        76:{1,2,4,5,7}:{(50,1),(51,1),(52,1),(61,1),(65,1),(105,1),(106,1),(107,1),(123,1),(163,1),(174,1)}
        77:{1,3,5,7}:{(52,1),(53,1),(62,1),(106,1),(107,1)}
        78:{1,3,4,6,7}:{(53,1),(63,1),(100,1),(107,1),(108,1),(122,1),(157,1),(165,1),(200,1)}
        79:{1,3,4,6}:{(60,1),(97,1),(109,1),(111,1),(119,1)}
        80:{2,3,4,6}:{(56,1),(98,1),(110,1),(112,1),(116,1)}
        81:{1,2,3,5,6}:{(54,1),(58,1),(62,1),(99,1),(113,1),(114,1),(115,1),(118,1),(159,1),(168,1),(171,1),(200,1),(204,1),(209,1)}
        82:{1,2,4,6}:{(54,1),(55,1),(59,1),(63,1),(114,1)}
        83:{1,2,5,6}:{(56,1),(101,1),(112,1),(115,1),(204,1),(209,1)}
        84:{3,5,6}:{(57,1),(102,1),(116,1),(171,1),(200,1)}
        85:{2,4,6}:{(58,1),(103,1),(116,1),(117,1)}
        86:{2,3,5}:{(59,1),(114,1),(117,1),(171,1)}
        87:{1,2,5,6}:{(60,1),(105,1),(111,1),(118,1),(204,1),(209,1)}
        88:{3,5,6}:{(61,1),(106,1),(119,1),(171,1),(200,1)}
        89:{1,4,6}:{(62,1),(107,1),(119,1),(120,1)}
        90:{1,3,5}:{(63,1),(114,1),(120,1),(171,1)}
        91:{1,2,6,7}:{(64,1),(105,1),(121,1),(209,1)}
        92:{3,6,7}:{(65,1),(106,1),(200,1)}
        93:{1,4,6,7}:{(66,1),(107,1),(122,1),(123,1),(165,1)}
        94:{2,3,6,7}:{(68,1),(71,1),(124,1),(125,1),(207,1)}
        95:{1,2,4,6,7}:{(67,1),(68,1),(69,1),(72,1),(124,1),(125,1),(126,1),(176,1),(183,1)}
        96:{2,3,5,6,7}:{(69,1),(73,1),(125,1),(126,1),(134,1),(177,1)}
        97:{1,3,4,7}:{(75,1),(79,1),(127,1),(136,1)}
        98:{2,3,4,7}:{(71,1),(80,1),(128,1),(132,1)}
        99:{1,2,3,5,7}:{(70,1),(73,1),(77,1),(81,1),(129,1),(130,1),(131,1),(135,1),(179,1),(182,1),(206,1)}
       100:{1,2,4,6,7}:{(70,1),(74,1),(78,1),(82,1),(129,1),(130,1),(149,1),(176,1),(183,1)}
       101:{1,2,5,7}:{(71,1),(83,1),(124,1),(128,1),(131,1)}
       102:{3,5,7}:{(72,1),(84,1),(125,1),(132,1)}
       103:{2,4,7}:{(73,1),(85,1),(132,1)}
       104:{2,3,5,7}:{(74,1),(86,1),(130,1),(133,1),(134,1),(177,1),(182,1)}
       105:{1,2,5,7}:{(75,1),(87,1),(91,1),(127,1),(135,1)}
       106:{3,5,7}:{(76,1),(88,1),(92,1),(136,1)}
       107:{1,4,7}:{(77,1),(89,1),(136,1)}
       108:{1,3,5,7}:{(78,1),(90,1),(130,1),(137,1),(138,1),(150,1),(182,1)}
       109:{1,3,4,5}:{(79,1),(139,1),(148,1),(190,1),(193,1)}
       110:{2,3,4,5}:{(80,1),(140,1),(146,1),(189,1),(192,1)}
       111:{1,2,4,6}:{(79,1),(87,1),(127,1),(139,1),(141,1),(147,1)}
       112:{1,2,4,6}:{(80,1),(83,1),(128,1),(140,1),(142,1),(145,1)}
       113:{1,2,4,6}:{(81,1),(85,1),(89,1),(129,1),(143,1),(144,1),(145,1),(147,1)}
       114:{1,2,5}:{(82,1),(86,1),(90,1)}
       115:{1,3,5,6}:{(83,1),(84,1),(131,1),(142,1),(145,1),(193,1),(205,1),(208,1)}
       116:{3,4,6}:{(84,1),(85,1),(132,1),(145,1),(146,1)}
       117:{2,4,5}:{(85,1),(86,1),(146,1)}
       118:{2,3,5,6}:{(87,1),(88,1),(135,1),(141,1),(147,1),(192,1),(194,1),(207,1)}
       119:{3,4,6}:{(88,1),(89,1),(136,1),(147,1),(148,1)}
       120:{1,4,5}:{(89,1),(90,1),(148,1)}
       121:{2,3,6,7}:{(91,1),(92,1),(135,1),(149,1),(207,1)}
       122:{3,4,6,7}:{(92,1),(93,1),(136,1),(149,1),(150,1),(187,1)}
       123:{1,4,5,7}:{(93,1),(150,1),(151,1)}
       124:{1,2,6,7}:{(94,1),(101,1),(152,1),(209,1)}
       125:{3,6,7}:{(95,1),(102,1),(200,1)}
       126:{2,4,6,7}:{(96,1),(103,1),(153,1),(154,1),(162,1)}
       127:{1,2,4,7}:{(97,1),(105,1),(111,1),(155,1),(163,1)}
       128:{1,2,4,7}:{(98,1),(101,1),(112,1),(156,1),(160,1)}
       129:{1,2,4,7}:{(99,1),(103,1),(107,1),(113,1),(157,1),(160,1),(163,1)}
       130:{1,2,5,7}:{(100,1),(104,1),(108,1),(114,1),(159,1),(174,1),(195,1)}
       131:{1,3,5,7}:{(101,1),(102,1),(115,1),(152,1),(156,1),(160,1),(195,1)}
       132:{3,4,7}:{(102,1),(103,1),(116,1),(160,1)}
       133:{2,4,5,7}:{(103,1),(104,1),(117,1),(161,1),(162,1)}
       134:{2,3,5,6}:{(104,1),(159,1),(162,1),(196,1),(200,1)}
       135:{2,3,5,7}:{(105,1),(106,1),(118,1),(121,1),(155,1),(163,1),(174,1)}
       136:{3,4,7}:{(106,1),(107,1),(119,1),(163,1)}
       137:{1,4,5,7}:{(107,1),(108,1),(120,1),(164,1),(165,1)}
       138:{1,3,5,6}:{(108,1),(159,1),(165,1),(175,1),(200,1)}
       139:{1,2,4,5}:{(109,1),(111,1),(166,1),(173,1),(203,1),(204,1)}
       140:{1,2,4,5}:{(110,1),(112,1),(167,1),(172,1),(203,1),(204,1)}
       141:{2,3,6}:{(111,1),(155,1),(166,1)}
       142:{1,3,6}:{(112,1),(156,1),(167,1)}
       143:{3,4,6}:{(113,1),(157,1),(171,1),(200,1)}
       144:{1,2,4,5}:{(113,1),(114,1),(117,1),(120,1),(171,1),(172,1),(173,1),(204,1)}
       145:{1,4,6}:{(115,1),(116,1),(160,1),(172,1)}
       146:{3,4,5}:{(116,1),(117,1),(171,1),(172,1)}
       147:{2,4,6}:{(118,1),(119,1),(163,1),(173,1)}
       148:{3,4,5}:{(119,1),(120,1),(171,1),(173,1)}
       149:{2,4,6,7}:{(121,1),(122,1),(163,1),(174,1),(202,1)}
       150:{3,5,7}:{(122,1),(123,1),(174,1),(175,1)}
       151:{1,4,5,6}:{(123,1),(165,1),(175,1)}
       152:{1,3,6,7}:{(124,1),(125,1),(131,1),(176,1),(208,1)}
       153:{3,4,6,7}:{(125,1),(126,1),(132,1),(176,1),(177,1),(185,1)}
       154:{2,4,5,7}:{(126,1),(177,1),(178,1)}
       155:{2,3,7}:{(127,1),(141,1)}
       156:{1,3,7}:{(128,1),(142,1)}
       157:{3,4,7}:{(129,1),(143,1),(182,1)}
       158:{1,2,4,5,7}:{(129,1),(130,1),(133,1),(137,1),(144,1),(182,1),(183,1),(184,1),(186,1),(206,1)}
       159:{1,2,5,6}:{(130,1),(134,1),(138,1),(183,1),(194,1),(205,1)}
       160:{1,4,7}:{(131,1),(132,1),(145,1)}
       161:{3,4,5,7}:{(132,1),(133,1),(146,1),(177,1),(182,1),(184,1),(185,1)}
       162:{2,4,6}:{(133,1),(134,1),(185,1)}
       163:{2,4,7}:{(135,1),(136,1),(147,1)}
       164:{3,4,5,7}:{(136,1),(137,1),(148,1),(150,1),(182,1),(186,1),(187,1)}
       165:{1,4,6}:{(137,1),(138,1),(187,1)}
       166:{2,3,5}:{(139,1),(141,1),(189,1)}
       167:{1,3,5}:{(140,1),(142,1),(190,1)}
       168:{1,2,3,6}:{(141,1),(142,1),(179,1),(188,1),(191,1)}
       169:{2,3,4,6}:{(141,1),(143,1),(147,1),(180,1),(189,1),(191,1),(192,1),(207,1)}
       170:{1,3,4,6}:{(142,1),(143,1),(145,1),(181,1),(190,1),(191,1),(193,1),(208,1)}
       171:{3,5}:{(143,1),(144,1)}
       172:{1,4,5}:{(145,1),(146,1),(193,1)}
       173:{2,4,5}:{(147,1),(148,1),(192,1)}
       174:{2,5,7}:{(149,1),(150,1),(194,1)}
       175:{3,5,6}:{(150,1),(151,1),(187,1),(194,1)}
       176:{1,4,6,7}:{(152,1),(153,1),(160,1),(195,1),(201,1)}
       177:{3,5,7}:{(153,1),(154,1),(195,1),(196,1)}
       178:{2,4,5,6}:{(154,1),(162,1),(196,1)}
       179:{1,2,3,7}:{(155,1),(156,1),(168,1),(197,1)}
       180:{2,3,4,7}:{(155,1),(157,1),(163,1),(169,1),(197,1),(198,1)}
       181:{1,3,4,7}:{(156,1),(157,1),(160,1),(170,1),(197,1),(199,1)}
       182:{3,5,7}:{(157,1),(158,1),(171,1),(200,1)}
       183:{1,2,4,6}:{(158,1),(159,1),(162,1),(165,1),(200,1),(201,1),(202,1),(209,1)}
       184:{1,4,5,7}:{(160,1),(161,1),(172,1),(195,1),(199,1),(201,1)}
       185:{3,4,6}:{(161,1),(162,1),(196,1),(200,1),(201,1)}
       186:{2,4,5,7}:{(163,1),(164,1),(173,1),(174,1),(198,1),(202,1)}
       187:{3,4,6}:{(164,1),(165,1),(175,1),(200,1),(202,1)}
       188:{1,2,3,5}:{(166,1),(167,1),(168,1),(203,1),(204,1)}
       189:{2,3,4}:{(166,1),(203,1)}
       190:{1,3,4}:{(167,1),(203,1)}
       191:{1,2,4,6}:{(168,1),(169,1),(170,1),(197,1),(203,1),(204,1),(209,1)}
       192:{2,3,5}:{(169,1),(171,1),(173,1),(204,1)}
       193:{1,3,5}:{(170,1),(171,1),(172,1),(204,1)}
       194:{2,5,6}:{(174,1),(175,1),(202,1)}
       195:{1,5,7}:{(176,1),(177,1),(205,1)}
       196:{3,5,6}:{(177,1),(178,1),(185,1),(205,1)}
       197:{1,2,4,7}:{(179,1),(180,1),(181,1),(191,1),(206,1)}
       198:{2,3,5,7}:{(180,1),(182,1),(186,1),(192,1),(206,1),(207,1)}
       199:{1,3,5,7}:{(181,1),(182,1),(184,1),(193,1),(206,1),(208,1)}
       200:{3,6}:{(182,1),(183,1)}
       201:{1,4,6}:{(184,1),(185,1),(205,1),(208,1)}
       202:{2,4,6}:{(186,1),(187,1),(194,1),(207,1)}
       203:{1,2,4}:{(188,1),(189,1),(190,1)}
       204:{1,2,5}:{(191,1),(192,1),(193,1)}
       205:{1,5,6}:{(195,1),(196,1),(201,1)}
       206:{1,2,5,7}:{(197,1),(198,1),(199,1),(204,1),(209,1)}
       207:{2,3,6}:{(198,1),(200,1),(202,1),(209,1)}
       208:{1,3,6}:{(199,1),(200,1),(201,1),(209,1)}
       209:{1,2,6}:{(206,1),(207,1),(208,1)}

1962 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(34,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(43,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(33,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(8,1),(20,1),(38,1),(39,1),(43,1),(45,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(20,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(29,1),(30,1),(33,1)}
        8:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(14,1),(47,1),(48,1)}
        9:{3,4,6}:{(5,1),(6,1),(13,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(31,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(32,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(40,1),(41,1),(43,1)}
       13:{3,5,6}:{(7,1),(9,1),(20,1)}
       14:{3,4,6,7}:{(8,1),(9,1),(20,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(21,1),(25,1),(57,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(22,1),(25,1),(57,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(43,1),(58,1),(59,1)}
       18:{1,2,4,5,6,7}:{(12,1),(27,1),(47,1),(48,1),(49,1)}
       19:{3,4,5,6}:{(13,1),(28,1),(29,1),(30,1),(51,1)}
       20:{3,5,7}:{(12,1),(13,1),(14,1)}
       21:{1,3,5,6}:{(13,1),(15,1),(29,1),(31,1),(33,1),(51,1)}
       22:{2,3,5,6}:{(13,1),(16,1),(30,1),(32,1),(33,1),(51,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(31,1),(34,1),(47,1),(60,1),(61,1)}
       24:{2,3,4,6,7}:{(14,1),(16,1),(32,1),(34,1),(48,1),(60,1),(61,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(33,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,5,6,7}:{(18,1),(20,1),(37,1)}
       28:{3,4,5,7}:{(19,1),(20,1),(37,1),(40,1),(41,1),(56,1)}
       29:{1,4,5,6}:{(19,1),(21,1),(40,1)}
       30:{2,4,5,6}:{(19,1),(22,1),(41,1)}
       31:{1,3,5,7}:{(20,1),(21,1),(23,1),(40,1),(43,1),(56,1)}
       32:{2,3,5,7}:{(20,1),(22,1),(24,1),(41,1),(43,1),(56,1)}
       33:{1,2,5,6}:{(21,1),(22,1),(25,1),(43,1)}
       34:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(43,1),(45,1),(58,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(58,1)}
       37:{3,4,6,7}:{(27,1),(28,1),(47,1),(48,1),(60,1)}
       38:{1,3,5,6,7}:{(27,1),(31,1),(47,1),(49,1),(60,1)}
       39:{2,3,5,6,7}:{(27,1),(32,1),(48,1),(49,1),(60,1)}
       40:{1,4,5,7}:{(28,1),(29,1),(31,1),(47,1)}
       41:{2,4,5,7}:{(28,1),(30,1),(32,1),(48,1)}
       42:{1,2,4,5,6}:{(29,1),(30,1),(33,1),(50,1),(51,1),(53,1)}
       43:{1,2,5,7}:{(31,1),(32,1),(33,1),(34,1)}
       44:{1,2,3,5,6}:{(33,1),(35,1),(51,1),(52,1),(53,1),(54,1)}
       45:{1,2,3,6,7}:{(34,1),(35,1),(52,1),(60,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(40,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(41,1)}
       49:{1,2,5,6,7}:{(38,1),(39,1),(43,1),(55,1)}
       50:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(43,1),(55,1),(56,1),(58,1)}
       51:{3,5,6}:{(42,1),(56,1),(57,1)}
       52:{1,2,3,5,7}:{(43,1),(44,1),(45,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(44,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(50,1),(60,1)}
       56:{3,5,7}:{(50,1),(51,1),(60,1),(61,1)}
       57:{3,4,6}:{(51,1),(53,1),(61,1),(62,1)}
       58:{1,2,4,7}:{(52,1),(53,1),(61,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(57,1),(59,1)}

1963 :   0:{2,3,4,5,7}:{(2,1),(3,1),(18,1),(25,1),(72,1),(116,1),(119,1),(124,1),(169,1),(176,1)}
         1:{1,3,4,5,7}:{(4,1),(5,1),(19,1),(24,1),(64,1),(115,1),(125,1),(128,1),(169,1),(181,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(34,1),(37,1),(85,1),(88,1),(91,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(92,1),(154,1),(188,1),(194,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(34,1),(44,1),(85,1),(96,1),(99,1)}
         5:{1,3,4,6}:{(1,1),(12,1),(13,1),(100,1),(146,1),(188,1),(197,1)}
         6:{2,3,4,6,7}:{(3,1),(17,1),(18,1),(30,1),(77,1),(116,1),(134,1)}
         7:{1,3,5,7}:{(2,1),(19,1),(20,1),(64,1),(169,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(20,1),(21,1),(65,1)}
         9:{2,3,5,6}:{(3,1),(18,1),(21,1),(22,1),(66,1),(72,1),(185,1)}
        10:{1,3,4,6,7}:{(5,1),(23,1),(24,1),(55,1),(108,1),(125,1),(166,1)}
        11:{2,3,5,7}:{(4,1),(25,1),(26,1),(72,1),(169,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(26,1),(27,1),(73,1)}
        13:{1,3,5,6}:{(5,1),(24,1),(27,1),(28,1),(64,1),(74,1),(200,1)}
        14:{2,3,5,6,7}:{(18,1),(29,1),(30,1),(31,1),(77,1),(123,1)}
        15:{2,4,5,6,7}:{(30,1),(31,1),(164,1)}
        16:{1,2,3,5,7}:{(7,1),(11,1),(34,1),(35,1),(85,1)}
        17:{1,2,4,6,7}:{(6,1),(8,1),(36,1),(37,1),(88,1)}
        18:{2,3,5,7}:{(6,1),(9,1),(37,1),(38,1),(89,1),(163,1)}
        19:{1,3,4,7}:{(7,1),(34,1),(39,1),(88,1),(142,1)}
        20:{1,3,6}:{(7,1),(8,1),(188,1)}
        21:{1,2,5,6}:{(8,1),(9,1),(37,1),(40,1),(85,1)}
        22:{2,4,5,6}:{(9,1),(38,1),(42,1),(99,1),(154,1)}
        23:{1,2,4,6,7}:{(10,1),(12,1),(43,1),(44,1),(96,1)}
        24:{1,3,5,7}:{(10,1),(13,1),(44,1),(45,1),(97,1),(187,1)}
        25:{2,3,4,7}:{(11,1),(34,1),(46,1),(96,1),(142,1)}
        26:{2,3,6}:{(11,1),(12,1),(188,1)}
        27:{1,2,5,6}:{(12,1),(13,1),(44,1),(47,1),(85,1)}
        28:{1,4,5,6}:{(13,1),(45,1),(49,1),(91,1),(146,1)}
        29:{1,2,5,6,7}:{(14,1),(37,1),(50,1),(51,1),(53,1),(140,1),(163,1)}
        30:{2,4,6,7}:{(14,1),(38,1),(52,1),(154,1)}
        31:{3,5,6,7}:{(15,1),(52,1),(53,1),(186,1)}
        32:{1,3,5,6,7}:{(24,1),(54,1),(55,1),(56,1),(108,1),(114,1)}
        33:{1,4,5,6,7}:{(55,1),(56,1),(132,1)}
        34:{1,2,4,7}:{(16,1),(19,1),(25,1),(58,1)}
        35:{1,2,3,6}:{(16,1),(20,1),(26,1),(58,1)}
        36:{1,3,6,7}:{(17,1),(20,1),(61,1),(77,1)}
        37:{1,2,5,7}:{(17,1),(18,1),(21,1),(61,1)}
        38:{2,4,5,7}:{(18,1),(22,1),(30,1),(63,1)}
        39:{1,3,4,6}:{(19,1),(20,1),(58,1),(64,1),(65,1),(113,1)}
        40:{1,3,5,6}:{(20,1),(21,1),(61,1),(64,1),(65,1),(66,1)}
        41:{1,2,4,5,6}:{(21,1),(22,1),(62,1),(65,1),(66,1),(67,1),(112,1),(121,1),(122,1),(132,1),(168,1),(185,1)}
        42:{3,4,5,6}:{(22,1),(63,1),(66,1),(67,1),(128,1),(180,1)}
        43:{2,3,6,7}:{(23,1),(26,1),(69,1),(108,1)}
        44:{1,2,5,7}:{(23,1),(24,1),(27,1),(69,1)}
        45:{1,4,5,7}:{(24,1),(28,1),(55,1),(71,1)}
        46:{2,3,4,6}:{(25,1),(26,1),(58,1),(72,1),(73,1),(113,1)}
        47:{2,3,5,6}:{(26,1),(27,1),(69,1),(72,1),(73,1),(74,1)}
        48:{1,2,4,5,6}:{(27,1),(28,1),(70,1),(73,1),(74,1),(75,1),(112,1),(129,1),(131,1),(164,1),(168,1),(200,1)}
        49:{3,4,5,6}:{(28,1),(71,1),(74,1),(75,1),(119,1),(175,1)}
        50:{1,3,5,6,7}:{(29,1),(61,1),(76,1),(77,1),(114,1),(133,1)}
        51:{1,2,4,6,7}:{(29,1),(30,1),(62,1),(76,1),(77,1),(78,1),(134,1),(135,1),(168,1)}
        52:{3,4,6,7}:{(30,1),(31,1),(63,1),(77,1),(78,1),(180,1)}
        53:{1,5,6,7}:{(31,1),(78,1),(200,1)}
        54:{1,2,5,6,7}:{(32,1),(44,1),(79,1),(80,1),(82,1),(140,1),(187,1)}
        55:{1,4,6,7}:{(32,1),(45,1),(81,1),(146,1)}
        56:{3,5,6,7}:{(33,1),(81,1),(82,1),(162,1)}
        57:{1,2,3,6,7}:{(35,1),(36,1),(43,1),(83,1),(84,1),(106,1),(138,1),(188,1),(208,1)}
        58:{1,2,4,6}:{(34,1),(35,1),(39,1),(46,1),(85,1)}
        59:{1,2,3,5,6}:{(35,1),(40,1),(47,1),(84,1),(85,1),(86,1),(94,1),(101,1),(140,1),(143,1),(188,1),(192,1),(193,1),(208,1)}
        60:{1,3,4,6,7}:{(36,1),(39,1),(83,1),(87,1),(88,1),(104,1),(142,1),(146,1),(188,1)}
        61:{1,3,5,7}:{(36,1),(37,1),(40,1),(88,1),(89,1)}
        62:{1,2,4,5,7}:{(37,1),(38,1),(41,1),(51,1),(88,1),(89,1),(90,1),(103,1),(149,1),(150,1),(163,1)}
        63:{3,4,5,7}:{(38,1),(42,1),(52,1),(89,1),(90,1)}
        64:{1,3,5}:{(39,1),(85,1),(91,1),(143,1)}
        65:{1,4,6}:{(40,1),(88,1),(91,1),(92,1)}
        66:{3,5,6}:{(41,1),(89,1),(92,1),(143,1),(188,1)}
        67:{1,4,5,6}:{(42,1),(90,1),(93,1),(159,1),(197,1)}
        68:{2,3,4,6,7}:{(43,1),(46,1),(83,1),(95,1),(96,1),(137,1),(142,1),(154,1),(188,1)}
        69:{2,3,5,7}:{(43,1),(44,1),(47,1),(96,1),(97,1)}
        70:{1,2,4,5,7}:{(44,1),(45,1),(48,1),(80,1),(96,1),(97,1),(98,1),(136,1),(156,1),(158,1),(187,1)}
        71:{3,4,5,7}:{(45,1),(49,1),(81,1),(97,1),(98,1)}
        72:{2,3,5}:{(46,1),(85,1),(99,1),(143,1)}
        73:{2,4,6}:{(47,1),(96,1),(99,1),(100,1)}
        74:{3,5,6}:{(48,1),(97,1),(100,1),(143,1),(188,1)}
        75:{2,4,5,6}:{(49,1),(98,1),(102,1),(152,1),(194,1)}
        76:{1,4,6,7}:{(50,1),(88,1),(103,1),(104,1),(146,1)}
        77:{3,6,7}:{(51,1),(89,1),(188,1)}
        78:{1,4,6,7}:{(52,1),(53,1),(90,1),(105,1),(197,1)}
        79:{2,3,5,6,7}:{(54,1),(69,1),(107,1),(108,1),(123,1),(165,1)}
        80:{1,2,4,6,7}:{(54,1),(55,1),(70,1),(107,1),(108,1),(109,1),(166,1),(167,1),(168,1)}
        81:{3,4,6,7}:{(55,1),(56,1),(71,1),(108,1),(109,1),(175,1)}
        82:{2,5,6,7}:{(56,1),(109,1),(185,1)}
        83:{1,2,4,6,7}:{(57,1),(58,1),(60,1),(68,1),(110,1),(111,1),(134,1),(166,1),(168,1)}
        84:{1,2,3,5,7}:{(57,1),(59,1),(61,1),(69,1),(110,1),(111,1),(118,1),(126,1),(169,1),(203,1),(204,1)}
        85:{1,2,5}:{(58,1),(64,1),(72,1)}
        86:{1,2,4,6}:{(59,1),(65,1),(73,1),(111,1),(112,1),(113,1),(121,1),(129,1)}
        87:{1,3,5,7}:{(60,1),(64,1),(110,1),(114,1),(115,1),(133,1),(169,1)}
        88:{1,4,7}:{(61,1),(65,1),(116,1)}
        89:{3,5,7}:{(62,1),(66,1),(77,1),(116,1)}
        90:{1,4,5,7}:{(63,1),(67,1),(78,1),(117,1)}
        91:{1,4,5}:{(64,1),(65,1),(119,1)}
        92:{3,4,6}:{(65,1),(66,1),(116,1),(119,1),(121,1)}
        93:{1,3,5,6}:{(66,1),(67,1),(117,1),(120,1),(122,1),(172,1),(201,1)}
        94:{2,3,5,6}:{(66,1),(118,1),(121,1),(122,1),(173,1),(179,1),(185,1),(202,1)}
        95:{2,3,5,7}:{(68,1),(72,1),(110,1),(123,1),(124,1),(165,1),(169,1)}
        96:{2,4,7}:{(69,1),(73,1),(125,1)}
        97:{3,5,7}:{(70,1),(74,1),(108,1),(125,1)}
        98:{2,4,5,7}:{(71,1),(75,1),(109,1),(127,1)}
        99:{2,4,5}:{(72,1),(73,1),(128,1)}
       100:{3,4,6}:{(73,1),(74,1),(125,1),(128,1),(129,1)}
       101:{1,3,5,6}:{(74,1),(126,1),(129,1),(131,1),(172,1),(184,1),(200,1),(201,1)}
       102:{2,3,5,6}:{(74,1),(75,1),(127,1),(130,1),(131,1),(173,1),(202,1)}
       103:{1,4,5,7}:{(76,1),(132,1),(133,1)}
       104:{3,4,6,7}:{(76,1),(77,1),(116,1),(133,1),(134,1),(175,1)}
       105:{1,3,6,7}:{(77,1),(78,1),(117,1),(135,1),(201,1)}
       106:{2,3,6,7}:{(77,1),(118,1),(134,1),(135,1),(202,1)}
       107:{2,4,6,7}:{(79,1),(96,1),(136,1),(137,1),(154,1)}
       108:{3,6,7}:{(80,1),(97,1),(188,1)}
       109:{2,4,6,7}:{(81,1),(82,1),(98,1),(139,1),(194,1)}
       110:{1,2,5,7}:{(83,1),(85,1),(87,1),(95,1),(140,1),(163,1),(187,1)}
       111:{1,2,4,7}:{(84,1),(86,1),(88,1),(96,1),(142,1),(149,1),(156,1)}
       112:{1,2,4,5}:{(85,1),(86,1),(91,1),(99,1),(143,1),(152,1),(159,1),(192,1)}
       113:{3,4,6}:{(86,1),(142,1),(143,1),(188,1)}
       114:{1,3,5,6}:{(87,1),(140,1),(146,1),(162,1),(188,1)}
       115:{1,4,5,7}:{(87,1),(88,1),(91,1),(146,1),(147,1)}
       116:{3,4,7}:{(88,1),(89,1),(92,1),(149,1)}
       117:{1,3,5,7}:{(89,1),(90,1),(93,1),(105,1),(148,1),(150,1)}
       118:{2,3,5,7}:{(89,1),(94,1),(106,1),(149,1),(150,1),(163,1),(195,1)}
       119:{3,4,5}:{(91,1),(92,1),(143,1),(152,1)}
       120:{1,3,4,6}:{(92,1),(93,1),(148,1),(151,1),(153,1)}
       121:{2,4,6}:{(92,1),(94,1),(149,1),(152,1)}
       122:{1,2,5,6}:{(93,1),(94,1),(150,1),(153,1),(192,1),(208,1)}
       123:{2,3,5,6}:{(95,1),(140,1),(154,1),(186,1),(188,1)}
       124:{2,4,5,7}:{(95,1),(96,1),(99,1),(154,1),(155,1)}
       125:{3,4,7}:{(96,1),(97,1),(100,1),(156,1)}
       126:{1,3,5,7}:{(97,1),(101,1),(138,1),(156,1),(158,1),(187,1),(198,1)}
       127:{2,3,5,7}:{(97,1),(98,1),(102,1),(139,1),(157,1),(158,1)}
       128:{3,4,5}:{(99,1),(100,1),(143,1),(159,1)}
       129:{1,4,6}:{(100,1),(101,1),(156,1),(159,1)}
       130:{2,3,4,6}:{(100,1),(102,1),(157,1),(160,1),(161,1)}
       131:{1,2,5,6}:{(101,1),(102,1),(158,1),(161,1),(192,1),(208,1)}
       132:{1,4,5,6}:{(103,1),(146,1),(162,1)}
       133:{3,5,7}:{(103,1),(104,1),(162,1),(163,1)}
       134:{2,4,6,7}:{(104,1),(106,1),(149,1),(163,1),(194,1)}
       135:{1,2,6,7}:{(105,1),(106,1),(150,1),(208,1)}
       136:{2,4,5,7}:{(107,1),(164,1),(165,1)}
       137:{3,4,6,7}:{(107,1),(108,1),(125,1),(165,1),(166,1),(180,1)}
       138:{1,3,6,7}:{(108,1),(126,1),(166,1),(167,1),(201,1)}
       139:{2,3,6,7}:{(108,1),(109,1),(127,1),(167,1),(202,1)}
       140:{1,2,5,6}:{(110,1),(114,1),(123,1),(168,1),(185,1),(200,1)}
       141:{1,2,4,5,7}:{(110,1),(111,1),(112,1),(115,1),(124,1),(168,1),(169,1),(176,1),(181,1),(203,1)}
       142:{3,4,7}:{(111,1),(113,1),(169,1)}
       143:{3,5}:{(112,1),(113,1)}
       144:{1,3,4,6}:{(113,1),(129,1),(170,1),(172,1),(174,1),(184,1),(201,1),(207,1)}
       145:{2,3,4,6}:{(113,1),(121,1),(171,1),(173,1),(174,1),(179,1),(202,1),(206,1)}
       146:{1,4,6}:{(114,1),(115,1),(175,1)}
       147:{3,4,5,7}:{(115,1),(116,1),(119,1),(133,1),(169,1),(175,1),(176,1)}
       148:{1,3,4,7}:{(116,1),(117,1),(120,1),(177,1)}
       149:{2,4,7}:{(116,1),(118,1),(121,1)}
       150:{1,2,5,7}:{(117,1),(118,1),(122,1),(135,1),(177,1)}
       151:{1,3,4,5}:{(119,1),(120,1),(172,1),(178,1),(207,1)}
       152:{2,4,5}:{(119,1),(121,1),(173,1)}
       153:{1,2,4,6}:{(120,1),(121,1),(122,1),(177,1),(178,1),(179,1)}
       154:{2,4,6}:{(123,1),(124,1),(180,1)}
       155:{3,4,5,7}:{(124,1),(125,1),(128,1),(165,1),(169,1),(180,1),(181,1)}
       156:{1,4,7}:{(125,1),(126,1),(129,1)}
       157:{2,3,4,7}:{(125,1),(127,1),(130,1),(182,1)}
       158:{1,2,5,7}:{(126,1),(127,1),(131,1),(167,1),(182,1)}
       159:{1,4,5}:{(128,1),(129,1),(172,1)}
       160:{2,3,4,5}:{(128,1),(130,1),(173,1),(183,1),(206,1)}
       161:{1,2,4,6}:{(129,1),(130,1),(131,1),(182,1),(183,1),(184,1)}
       162:{3,5,6}:{(132,1),(133,1),(175,1),(185,1)}
       163:{2,5,7}:{(133,1),(134,1),(185,1)}
       164:{2,4,5,6}:{(136,1),(154,1),(186,1)}
       165:{3,5,7}:{(136,1),(137,1),(186,1),(187,1)}
       166:{1,4,6,7}:{(137,1),(138,1),(156,1),(187,1),(197,1)}
       167:{1,2,6,7}:{(138,1),(139,1),(158,1),(208,1)}
       168:{1,2,4,6}:{(140,1),(141,1),(146,1),(154,1),(188,1),(194,1),(197,1),(208,1)}
       169:{3,5,7}:{(141,1),(142,1),(143,1),(188,1)}
       170:{1,3,4,7}:{(142,1),(144,1),(156,1),(189,1),(191,1),(198,1)}
       171:{2,3,4,7}:{(142,1),(145,1),(149,1),(190,1),(191,1),(195,1)}
       172:{1,3,5}:{(143,1),(144,1),(159,1),(192,1)}
       173:{2,3,5}:{(143,1),(145,1),(152,1),(192,1)}
       174:{1,2,4,6}:{(144,1),(145,1),(191,1),(192,1),(193,1),(208,1),(209,1)}
       175:{3,4,6}:{(146,1),(147,1),(162,1),(188,1),(194,1)}
       176:{2,4,5,7}:{(147,1),(149,1),(152,1),(163,1),(190,1),(194,1)}
       177:{1,2,4,7}:{(148,1),(149,1),(150,1),(153,1),(195,1)}
       178:{1,2,4,5}:{(151,1),(152,1),(153,1),(192,1),(196,1),(209,1)}
       179:{2,3,6}:{(153,1),(195,1),(196,1)}
       180:{3,4,6}:{(154,1),(155,1),(186,1),(188,1),(197,1)}
       181:{1,4,5,7}:{(155,1),(156,1),(159,1),(187,1),(189,1),(197,1)}
       182:{1,2,4,7}:{(156,1),(157,1),(158,1),(161,1),(198,1)}
       183:{1,2,4,5}:{(159,1),(160,1),(161,1),(192,1),(199,1),(209,1)}
       184:{1,3,6}:{(161,1),(198,1),(199,1)}
       185:{2,5,6}:{(162,1),(163,1),(194,1)}
       186:{3,5,6}:{(164,1),(165,1),(180,1),(200,1)}
       187:{1,5,7}:{(165,1),(166,1),(200,1)}
       188:{3,6}:{(168,1),(169,1)}
       189:{1,3,5,7}:{(169,1),(170,1),(172,1),(181,1),(201,1),(203,1)}
       190:{2,3,5,7}:{(169,1),(171,1),(173,1),(176,1),(202,1),(203,1)}
       191:{1,2,4,7}:{(170,1),(171,1),(174,1),(203,1),(204,1)}
       192:{1,2,5}:{(172,1),(173,1),(174,1)}
       193:{1,2,3,6}:{(174,1),(179,1),(184,1),(204,1),(205,1)}
       194:{2,4,6}:{(175,1),(176,1),(185,1),(202,1)}
       195:{2,3,7}:{(177,1),(179,1)}
       196:{2,3,5}:{(178,1),(179,1),(206,1)}
       197:{1,4,6}:{(180,1),(181,1),(200,1),(201,1)}
       198:{1,3,7}:{(182,1),(184,1)}
       199:{1,3,5}:{(183,1),(184,1),(207,1)}
       200:{1,5,6}:{(186,1),(187,1),(197,1)}
       201:{1,3,6}:{(188,1),(189,1),(197,1),(208,1)}
       202:{2,3,6}:{(188,1),(190,1),(194,1),(208,1)}
       203:{1,2,5,7}:{(189,1),(190,1),(191,1),(192,1),(208,1)}
       204:{1,2,3,7}:{(191,1),(193,1),(195,1),(198,1)}
       205:{1,2,3,5}:{(192,1),(193,1),(196,1),(199,1),(209,1)}
       206:{2,3,4}:{(196,1),(209,1)}
       207:{1,3,4}:{(199,1),(209,1)}
       208:{1,2,6}:{(201,1),(202,1),(203,1)}
       209:{1,2,4}:{(205,1),(206,1),(207,1)}

1964 :   0:{1,2,3,6,7}:{(3,1),(4,1),(40,1),(52,1),(85,1),(86,1),(87,1),(104,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(15,1),(19,1),(41,1),(52,1),(55,1),(86,1),(99,1),(104,1)}
         2:{1,3,4,6,7}:{(4,1),(6,1),(15,1),(22,1),(42,1),(52,1),(57,1),(87,1),(100,1),(104,1)}
         3:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(28,1),(31,1),(58,1),(69,1),(94,1),(95,1)}
         4:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(32,1),(60,1),(73,1),(74,1),(96,1),(103,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(10,1),(11,1),(31,1),(61,1),(66,1)}
         6:{1,3,5,7}:{(2,1),(9,1),(12,1),(13,1),(31,1),(62,1),(68,1)}
         7:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(40,1),(43,1),(52,1),(79,1),(80,1),(81,1),(85,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(75,1),(99,1),(100,1)}
         9:{1,2,5,7}:{(4,1),(5,1),(6,1),(17,1),(79,1),(83,1),(84,1)}
        10:{2,4,5,7}:{(5,1),(18,1),(19,1),(76,1),(99,1)}
        11:{2,3,5,6}:{(5,1),(17,1),(19,1),(45,1),(52,1)}
        12:{1,4,5,7}:{(6,1),(21,1),(22,1),(77,1),(100,1)}
        13:{1,3,5,6}:{(6,1),(17,1),(22,1),(47,1),(52,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(90,1),(91,1)}
        15:{3,4,7}:{(8,1),(24,1),(31,1),(88,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(12,1),(25,1),(31,1),(32,1),(34,1),(37,1),(69,1),(89,1),(103,1)}
        17:{1,2,5,6}:{(9,1),(11,1),(13,1),(32,1),(65,1),(67,1)}
        18:{3,4,5,7}:{(10,1),(31,1),(34,1),(35,1),(59,1),(66,1),(92,1)}
        19:{2,4,6}:{(10,1),(11,1),(35,1)}
        20:{2,3,5,6,7}:{(11,1),(33,1),(36,1),(66,1),(72,1),(94,1)}
        21:{3,4,5,7}:{(12,1),(31,1),(37,1),(38,1),(59,1),(68,1),(92,1)}
        22:{1,4,6}:{(12,1),(13,1),(38,1)}
        23:{1,3,5,6,7}:{(13,1),(33,1),(39,1),(68,1),(72,1),(95,1)}
        24:{3,4,6}:{(14,1),(15,1),(43,1),(52,1)}
        25:{1,2,4,5}:{(14,1),(43,1),(76,1),(77,1),(79,1)}
        26:{2,4,5,6}:{(19,1),(45,1),(46,1)}
        27:{1,4,5,6}:{(22,1),(47,1),(48,1)}
        28:{1,2,3,7}:{(40,1),(49,1),(104,1)}
        29:{2,3,4,7}:{(15,1),(41,1),(49,1),(50,1),(99,1),(104,1)}
        30:{1,3,4,7}:{(15,1),(42,1),(49,1),(51,1),(100,1),(104,1)}
        31:{3,5,7}:{(15,1),(16,1),(43,1),(52,1),(97,1),(104,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(19,1),(22,1),(52,1),(54,1),(56,1),(85,1)}
        33:{1,2,5,6,7}:{(17,1),(20,1),(23,1),(53,1),(83,1),(84,1),(101,1)}
        34:{1,4,5,7}:{(18,1),(51,1),(54,1),(77,1),(83,1),(100,1)}
        35:{3,4,6}:{(18,1),(19,1),(45,1),(52,1),(54,1)}
        36:{2,4,6,7}:{(19,1),(20,1),(46,1),(55,1),(99,1)}
        37:{2,4,5,7}:{(21,1),(50,1),(56,1),(76,1),(84,1),(99,1)}
        38:{3,4,6}:{(21,1),(22,1),(47,1),(52,1),(56,1)}
        39:{1,4,6,7}:{(22,1),(23,1),(48,1),(57,1),(100,1)}
        40:{1,2,3,6}:{(28,1),(58,1),(60,1),(102,1)}
        41:{2,3,4,6}:{(24,1),(29,1),(60,1),(61,1),(70,1),(88,1),(90,1),(102,1)}
        42:{1,3,4,6}:{(24,1),(30,1),(60,1),(62,1),(71,1),(88,1),(91,1),(102,1)}
        43:{3,5}:{(24,1),(25,1)}
        44:{1,2,4,5,6}:{(25,1),(26,1),(27,1),(32,1),(63,1),(64,1),(65,1),(67,1),(90,1),(91,1),(93,1)}
        45:{3,5,6}:{(26,1),(35,1),(65,1),(66,1)}
        46:{2,4,5,7}:{(26,1),(36,1),(66,1)}
        47:{3,5,6}:{(27,1),(38,1),(67,1),(68,1)}
        48:{1,4,5,7}:{(27,1),(39,1),(68,1)}
        49:{1,2,4,7}:{(28,1),(29,1),(30,1),(60,1),(69,1)}
        50:{2,3,5,7}:{(29,1),(31,1),(37,1),(61,1),(69,1),(70,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(34,1),(62,1),(69,1),(71,1)}
        52:{3,6}:{(31,1),(32,1)}
        53:{1,2,4,6,7}:{(32,1),(33,1),(36,1),(39,1),(64,1),(72,1),(73,1),(74,1),(96,1),(103,1)}
        54:{1,4,6}:{(34,1),(35,1),(65,1),(71,1)}
        55:{3,4,6,7}:{(35,1),(36,1),(66,1),(72,1),(73,1),(92,1)}
        56:{2,4,6}:{(37,1),(38,1),(67,1),(70,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(68,1),(72,1),(74,1),(92,1)}
        58:{1,2,3,5}:{(40,1),(75,1),(79,1),(97,1)}
        59:{3,4,5}:{(43,1),(76,1),(77,1),(78,1),(97,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(42,1),(49,1),(75,1),(79,1),(85,1)}
        61:{2,3,5}:{(41,1),(43,1),(76,1),(79,1),(97,1)}
        62:{1,3,5}:{(42,1),(43,1),(77,1),(79,1),(97,1)}
        63:{3,5,6}:{(43,1),(44,1),(52,1),(78,1),(82,1)}
        64:{1,2,4,5,7}:{(44,1),(46,1),(48,1),(53,1),(82,1),(83,1),(84,1),(99,1),(100,1),(101,1)}
        65:{1,5,6}:{(45,1),(54,1),(83,1)}
        66:{3,5,7}:{(45,1),(46,1),(55,1),(83,1)}
        67:{2,5,6}:{(47,1),(56,1),(84,1)}
        68:{3,5,7}:{(47,1),(48,1),(57,1),(84,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(85,1)}
        70:{2,3,6}:{(50,1),(52,1),(56,1),(85,1)}
        71:{1,3,6}:{(51,1),(52,1),(54,1),(85,1)}
        72:{3,6,7}:{(52,1),(53,1),(82,1),(104,1)}
        73:{1,4,6,7}:{(54,1),(55,1),(83,1),(87,1),(100,1)}
        74:{2,4,6,7}:{(56,1),(57,1),(84,1),(86,1),(99,1)}
        75:{1,2,4}:{(58,1),(88,1)}
        76:{2,4,5}:{(59,1),(61,1),(90,1)}
        77:{1,4,5}:{(59,1),(62,1),(91,1)}
        78:{3,4,6}:{(59,1),(63,1),(90,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(60,1),(61,1),(62,1)}
        80:{2,3,5,6}:{(61,1),(63,1),(67,1),(70,1),(90,1),(93,1),(94,1),(102,1)}
        81:{1,3,5,6}:{(62,1),(63,1),(65,1),(71,1),(91,1),(93,1),(95,1),(102,1)}
        82:{3,5,7}:{(63,1),(64,1),(72,1),(92,1)}
        83:{1,5,7}:{(65,1),(66,1),(73,1)}
        84:{2,5,7}:{(67,1),(68,1),(74,1)}
        85:{1,2,6}:{(69,1),(70,1),(71,1)}
        86:{2,3,6,7}:{(70,1),(72,1),(74,1),(94,1),(96,1)}
        87:{1,3,6,7}:{(71,1),(72,1),(73,1),(95,1),(96,1)}
        88:{3,4}:{(75,1),(97,1)}
        89:{1,2,4,5}:{(75,1),(76,1),(77,1),(79,1),(97,1),(98,1)}
        90:{2,4,6}:{(76,1),(78,1),(80,1),(99,1)}
        91:{1,4,6}:{(77,1),(78,1),(81,1),(100,1)}
        92:{3,4,7}:{(78,1),(82,1),(99,1),(100,1),(104,1)}
        93:{1,2,5,6}:{(79,1),(80,1),(81,1),(85,1),(98,1),(101,1)}
        94:{2,3,5,7}:{(80,1),(82,1),(84,1),(86,1),(99,1),(101,1),(104,1)}
        95:{1,3,5,7}:{(81,1),(82,1),(83,1),(87,1),(100,1),(101,1),(104,1)}
        96:{1,2,6,7}:{(85,1),(86,1),(87,1),(101,1)}
        97:{3,5}:{(88,1),(89,1),(102,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{2,4,7}:{(90,1),(92,1),(94,1)}
       100:{1,4,7}:{(91,1),(92,1),(95,1)}
       101:{1,2,5,7}:{(93,1),(94,1),(95,1),(96,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1965 :  0:{1,2,3,4,7}:{(1,1),(2,1),(30,1),(78,1)}
        1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(39,1),(68,1)}
        2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        3:{2,3,4,5,7}:{(4,1),(7,1),(18,1),(22,1),(43,1)}
        4:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(10,1),(26,1),(30,1)}
        5:{1,2,3,5}:{(1,1),(10,1)}
        6:{1,2,3,6}:{(2,1),(9,1)}
        7:{2,3,4,6}:{(3,1),(9,1),(13,1),(29,1)}
        8:{1,3,4,5,7}:{(4,1),(15,1),(18,1),(35,1),(43,1)}
        9:{1,2,4,6}:{(4,1),(6,1),(7,1),(15,1),(16,1)}
       10:{1,2,4,5}:{(5,1),(18,1),(19,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(16,1),(19,1),(20,1),(37,1),(65,1),(68,1)}
       12:{1,2,3,6,7}:{(6,1),(17,1),(20,1),(64,1),(82,1)}
       13:{2,3,5,6}:{(7,1),(16,1),(21,1),(22,1),(37,1)}
       14:{2,3,4,6,7}:{(7,1),(17,1),(22,1),(43,1),(44,1),(64,1)}
       15:{1,3,4,6}:{(8,1),(9,1),(23,1),(29,1)}
       16:{1,2,5,6}:{(9,1),(13,1),(23,1),(26,1)}
       17:{1,2,4,6,7}:{(9,1),(12,1),(14,1),(24,1),(26,1),(30,1)}
       18:{3,4,5}:{(10,1),(29,1)}
       19:{1,2,4,6}:{(10,1),(11,1),(29,1),(30,1)}
       20:{1,2,3,5,7}:{(11,1),(12,1),(26,1),(30,1),(53,1),(77,1),(78,1)}
       21:{2,4,5,6}:{(13,1),(32,1),(33,1)}
       22:{2,3,5,7}:{(13,1),(14,1),(26,1),(33,1),(53,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(34,1),(35,1),(37,1)}
       24:{1,3,4,6,7}:{(15,1),(17,1),(35,1),(43,1),(61,1),(64,1)}
       25:{1,2,4,5,6}:{(16,1),(19,1),(21,1),(34,1),(37,1),(38,1),(45,1),(62,1),(65,1)}
       26:{1,2,5,7}:{(16,1),(17,1),(22,1),(35,1)}
       27:{2,3,4,5}:{(18,1),(40,1),(41,1)}
       28:{1,3,4,5}:{(18,1),(40,1),(42,1)}
       29:{3,4,6}:{(18,1),(19,1),(37,1),(43,1)}
       30:{1,2,4,7}:{(19,1),(20,1),(43,1)}
       31:{2,3,5,6,7}:{(22,1),(36,1),(44,1),(64,1),(70,1)}
       32:{3,4,5,6}:{(21,1),(37,1),(45,1),(46,1)}
       33:{2,4,5,7}:{(21,1),(22,1),(44,1),(46,1)}
       34:{1,4,5,6}:{(23,1),(48,1),(49,1)}
       35:{1,3,5,7}:{(23,1),(24,1),(26,1),(49,1),(53,1)}
       36:{1,2,5,6,7}:{(26,1),(31,1),(47,1),(50,1),(79,1),(83,1)}
       37:{3,5,6}:{(25,1),(29,1),(53,1)}
       38:{1,2,4,5,7}:{(25,1),(26,1),(30,1),(33,1),(49,1),(50,1),(53,1),(60,1),(74,1),(77,1)}
       39:{1,2,3,4}:{(54,1)}
       40:{1,2,4,5}:{(27,1),(28,1),(54,1),(55,1)}
       41:{2,3,4,6}:{(27,1),(29,1),(51,1),(55,1),(56,1)}
       42:{1,3,4,6}:{(28,1),(29,1),(52,1),(55,1),(57,1)}
       43:{3,4,7}:{(29,1),(30,1),(53,1)}
       44:{2,4,6,7}:{(31,1),(33,1),(59,1)}
       45:{1,4,5,6}:{(32,1),(52,1),(60,1)}
       46:{3,4,5,7}:{(32,1),(33,1),(53,1),(59,1),(60,1)}
       47:{1,3,5,6,7}:{(35,1),(36,1),(61,1),(64,1),(80,1)}
       48:{3,4,5,6}:{(34,1),(37,1),(62,1),(63,1)}
       49:{1,4,5,7}:{(34,1),(35,1),(61,1),(63,1)}
       50:{1,2,4,6,7}:{(36,1),(38,1),(44,1),(61,1),(64,1),(71,1),(81,1),(82,1)}
       51:{2,3,5,6}:{(37,1),(41,1),(62,1),(65,1),(66,1)}
       52:{1,3,5,6}:{(37,1),(42,1),(45,1),(65,1),(67,1)}
       53:{3,5,7}:{(37,1),(38,1),(43,1),(64,1)}
       54:{1,2,3,5}:{(39,1),(40,1),(68,1)}
       55:{1,2,4,6}:{(40,1),(41,1),(42,1),(65,1),(68,1),(69,1)}
       56:{2,3,4,7}:{(41,1),(43,1),(66,1),(69,1)}
       57:{1,3,4,7}:{(42,1),(43,1),(67,1),(69,1)}
       58:{2,4,5,6,7}:{(44,1),(70,1)}
       59:{3,4,6,7}:{(44,1),(46,1),(64,1),(70,1),(71,1)}
       60:{1,4,5,7}:{(45,1),(46,1),(67,1),(71,1)}
       61:{1,4,6,7}:{(47,1),(49,1),(73,1)}
       62:{2,4,5,6}:{(48,1),(51,1),(74,1)}
       63:{3,4,5,7}:{(48,1),(49,1),(53,1),(73,1),(74,1)}
       64:{3,6,7}:{(50,1),(53,1)}
       65:{1,2,5,6}:{(51,1),(52,1),(55,1),(77,1)}
       66:{2,3,5,7}:{(51,1),(53,1),(56,1),(74,1),(75,1),(77,1)}
       67:{1,3,5,7}:{(52,1),(53,1),(57,1),(60,1),(76,1),(77,1)}
       68:{1,2,3,6}:{(54,1),(55,1),(78,1)}
       69:{1,2,4,7}:{(55,1),(56,1),(57,1),(77,1),(78,1)}
       70:{3,5,6,7}:{(58,1),(59,1),(79,1)}
       71:{1,4,6,7}:{(59,1),(60,1),(76,1),(79,1)}
       72:{1,4,5,6,7}:{(61,1),(80,1)}
       73:{3,4,6,7}:{(61,1),(63,1),(64,1),(80,1),(81,1)}
       74:{2,4,5,7}:{(62,1),(63,1),(66,1),(81,1)}
       75:{2,3,6,7}:{(64,1),(66,1),(81,1),(82,1)}
       76:{1,3,6,7}:{(64,1),(67,1),(71,1),(82,1)}
       77:{1,2,5,7}:{(65,1),(66,1),(67,1),(69,1),(82,1)}
       78:{1,2,3,7}:{(68,1),(69,1)}
       79:{1,5,6,7}:{(70,1),(71,1)}
       80:{3,5,6,7}:{(72,1),(73,1),(83,1)}
       81:{2,4,6,7}:{(73,1),(74,1),(75,1),(83,1)}
       82:{1,2,6,7}:{(75,1),(76,1),(77,1)}
       83:{2,5,6,7}:{(80,1),(81,1)}

1966 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(7,1),(18,1),(21,1),(22,1),(46,1)}
         2:{1,2,3,5}:{(0,1),(6,1),(7,1)}
         3:{2,3,4,5}:{(6,1),(8,1),(19,1)}
         4:{1,2,3,4,7}:{(1,1),(10,1),(14,1),(38,1),(63,1)}
         5:{1,2,3,5}:{(1,1),(11,1)}
         6:{1,2,4,5}:{(2,1),(3,1),(9,1),(13,1)}
         7:{1,2,3,6}:{(2,1),(13,1),(14,1)}
         8:{2,3,4,6}:{(3,1),(13,1),(15,1),(16,1),(34,1)}
         9:{1,3,4,5}:{(6,1),(17,1),(19,1)}
        10:{1,2,3,5,7}:{(4,1),(5,1),(20,1),(21,1)}
        11:{1,2,4,5}:{(5,1),(19,1),(22,1)}
        12:{1,2,3,5,6}:{(5,1),(7,1),(21,1),(22,1),(23,1),(24,1),(46,1),(50,1),(52,1),(79,1)}
        13:{1,2,4,6}:{(6,1),(7,1),(8,1),(17,1),(24,1),(25,1)}
        14:{1,2,3,7}:{(7,1),(25,1)}
        15:{2,3,5,6}:{(8,1),(24,1),(26,1),(27,1),(50,1)}
        16:{2,3,4,7}:{(8,1),(25,1),(27,1),(51,1)}
        17:{1,3,4,6}:{(9,1),(13,1),(28,1),(29,1),(34,1)}
        18:{1,2,3,4}:{(30,1)}
        19:{3,4,5}:{(11,1),(34,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(33,1),(35,1),(38,1),(71,1)}
        21:{1,2,3,6}:{(10,1),(35,1)}
        22:{1,2,4,6}:{(11,1),(12,1),(34,1),(38,1)}
        23:{1,2,3,5,7}:{(12,1),(14,1),(36,1),(38,1),(39,1),(63,1),(70,1),(71,1),(92,1)}
        24:{1,2,5,6}:{(13,1),(15,1),(28,1),(39,1)}
        25:{1,2,4,7}:{(13,1),(14,1),(16,1),(29,1),(39,1)}
        26:{2,4,5,6}:{(15,1),(40,1),(41,1)}
        27:{2,3,5,7}:{(15,1),(16,1),(39,1),(41,1),(42,1),(70,1)}
        28:{1,3,5,6}:{(17,1),(24,1),(43,1),(44,1),(50,1)}
        29:{1,3,4,7}:{(17,1),(25,1),(44,1),(51,1)}
        30:{1,2,3,5}:{(18,1),(45,1),(46,1)}
        31:{1,3,4,5}:{(19,1),(45,1),(47,1)}
        32:{2,3,4,5}:{(19,1),(45,1),(48,1)}
        33:{3,4,5,7}:{(19,1),(20,1),(49,1),(51,1),(84,1)}
        34:{3,4,6}:{(19,1),(22,1),(50,1),(51,1)}
        35:{1,2,4,6}:{(20,1),(21,1),(49,1),(52,1)}
        36:{1,2,3,6,7}:{(21,1),(23,1),(53,1),(55,1),(85,1),(101,1)}
        37:{1,2,4,5,6}:{(22,1),(24,1),(26,1),(43,1),(50,1),(52,1),(54,1),(56,1),(76,1),(79,1),(83,1)}
        38:{1,2,4,7}:{(22,1),(23,1),(51,1)}
        39:{1,2,5,7}:{(24,1),(25,1),(27,1),(44,1),(55,1)}
        40:{3,4,5,6}:{(26,1),(50,1),(56,1),(57,1),(83,1)}
        41:{2,4,5,7}:{(26,1),(27,1),(57,1),(58,1)}
        42:{2,3,6,7}:{(27,1),(55,1),(58,1),(85,1)}
        43:{1,4,5,6}:{(28,1),(59,1),(60,1)}
        44:{1,3,5,7}:{(28,1),(29,1),(39,1),(60,1),(61,1),(70,1)}
        45:{1,2,4,5}:{(30,1),(31,1),(32,1),(62,1)}
        46:{1,2,3,6}:{(30,1),(62,1),(63,1)}
        47:{1,3,4,6}:{(31,1),(34,1),(62,1),(64,1),(65,1)}
        48:{2,3,4,6}:{(32,1),(34,1),(62,1),(66,1),(67,1)}
        49:{3,4,6}:{(33,1),(35,1),(68,1)}
        50:{3,5,6}:{(34,1),(37,1),(70,1)}
        51:{3,4,7}:{(34,1),(38,1),(70,1)}
        52:{1,2,5,6}:{(35,1),(68,1),(71,1)}
        53:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(69,1),(71,1)}
        54:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(41,1),(60,1),(70,1),(71,1),(72,1),(73,1),(89,1),(92,1),(95,1)}
        55:{1,2,6,7}:{(39,1),(42,1),(61,1)}
        56:{1,4,5,6}:{(40,1),(64,1),(73,1)}
        57:{3,4,5,7}:{(40,1),(41,1),(70,1),(73,1),(74,1),(95,1)}
        58:{2,4,6,7}:{(41,1),(42,1),(74,1),(75,1)}
        59:{3,4,5,6}:{(43,1),(50,1),(76,1),(77,1),(83,1)}
        60:{1,4,5,7}:{(43,1),(44,1),(77,1),(78,1)}
        61:{1,3,6,7}:{(44,1),(55,1),(78,1),(85,1)}
        62:{1,2,4,6}:{(45,1),(46,1),(47,1),(48,1),(79,1),(80,1)}
        63:{1,2,3,7}:{(46,1),(80,1)}
        64:{1,3,5,6}:{(47,1),(50,1),(56,1),(79,1),(81,1)}
        65:{1,3,4,7}:{(47,1),(51,1),(80,1),(81,1)}
        66:{2,3,5,6}:{(48,1),(50,1),(76,1),(79,1),(82,1)}
        67:{2,3,4,7}:{(48,1),(51,1),(80,1),(82,1)}
        68:{3,5,6}:{(49,1),(52,1),(83,1),(84,1)}
        69:{3,4,6,7}:{(49,1),(51,1),(53,1),(84,1),(85,1),(102,1)}
        70:{3,5,7}:{(50,1),(51,1),(54,1),(85,1)}
        71:{1,2,5,7}:{(52,1),(53,1),(84,1)}
        72:{1,2,4,6,7}:{(54,1),(55,1),(58,1),(78,1),(85,1),(86,1),(87,1),(99,1),(101,1),(102,1)}
        73:{1,4,5,7}:{(56,1),(57,1),(81,1),(87,1)}
        74:{3,4,6,7}:{(57,1),(58,1),(85,1),(87,1),(88,1),(102,1)}
        75:{2,5,6,7}:{(58,1),(88,1)}
        76:{2,4,5,6}:{(59,1),(66,1),(89,1)}
        77:{3,4,5,7}:{(59,1),(60,1),(70,1),(89,1),(90,1),(95,1)}
        78:{1,4,6,7}:{(60,1),(61,1),(90,1),(91,1)}
        79:{1,2,5,6}:{(62,1),(64,1),(66,1),(92,1)}
        80:{1,2,4,7}:{(62,1),(63,1),(65,1),(67,1),(92,1)}
        81:{1,3,5,7}:{(64,1),(65,1),(70,1),(73,1),(92,1),(93,1)}
        82:{2,3,5,7}:{(66,1),(67,1),(70,1),(89,1),(92,1),(94,1)}
        83:{4,5,6}:{(68,1),(95,1)}
        84:{3,5,7}:{(68,1),(69,1),(71,1),(95,1)}
        85:{3,6,7}:{(70,1),(72,1)}
        86:{1,2,5,6,7}:{(71,1),(72,1),(75,1),(91,1),(96,1),(97,1),(103,1)}
        87:{1,4,6,7}:{(73,1),(74,1),(93,1),(97,1)}
        88:{3,5,6,7}:{(74,1),(75,1),(97,1),(98,1)}
        89:{2,4,5,7}:{(76,1),(77,1),(82,1),(99,1)}
        90:{3,4,6,7}:{(77,1),(78,1),(85,1),(99,1),(100,1),(102,1)}
        91:{1,5,6,7}:{(78,1),(100,1)}
        92:{1,2,5,7}:{(79,1),(80,1),(81,1),(82,1),(101,1)}
        93:{1,3,6,7}:{(81,1),(85,1),(87,1),(101,1)}
        94:{2,3,6,7}:{(82,1),(85,1),(99,1),(101,1)}
        95:{4,5,7}:{(83,1),(84,1),(102,1)}
        96:{3,5,6,7}:{(84,1),(85,1),(86,1),(102,1)}
        97:{1,5,6,7}:{(87,1),(88,1)}
        98:{4,5,6,7}:{(88,1),(102,1)}
        99:{2,4,6,7}:{(89,1),(90,1),(94,1),(103,1)}
       100:{3,5,6,7}:{(90,1),(91,1),(103,1),(104,1)}
       101:{1,2,6,7}:{(92,1),(93,1),(94,1)}
       102:{4,6,7}:{(95,1),(96,1)}
       103:{2,5,6,7}:{(99,1),(100,1)}
       104:{4,5,6,7}:{(100,1),(102,1)}

1967 :   0:{2,3,4,5,7}:{(2,1),(3,1),(18,1),(57,1),(117,1),(130,1),(134,1),(169,1),(176,1),(181,1)}
         1:{2,4,5,6,7}:{(4,1),(26,1),(199,1)}
         2:{2,3,4,6}:{(0,1),(8,1),(9,1),(102,1),(189,1),(194,1),(196,1)}
         3:{1,2,4,5,7}:{(0,1),(9,1),(10,1),(35,1),(40,1),(94,1),(99,1),(103,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(12,1),(206,1)}
         5:{1,3,4,5,7}:{(14,1),(15,1),(24,1),(51,1),(72,1),(131,1),(168,1),(172,1),(176,1),(200,1)}
         6:{2,3,4,6,7}:{(2,1),(18,1),(19,1),(26,1),(74,1),(130,1),(135,1)}
         7:{3,4,5,6}:{(17,1),(20,1),(21,1),(70,1),(172,1),(201,1)}
         8:{2,3,5,6}:{(2,1),(18,1),(21,1),(22,1),(70,1),(117,1),(183,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(22,1),(23,1),(71,1)}
        10:{1,3,5,7}:{(3,1),(23,1),(24,1),(72,1),(176,1)}
        11:{3,4,6,7}:{(4,1),(17,1),(25,1),(26,1),(74,1),(201,1)}
        12:{1,5,6,7}:{(4,1),(25,1),(209,1)}
        13:{2,3,5,6,7}:{(4,1),(18,1),(26,1),(27,1),(74,1),(170,1)}
        14:{1,3,4,6}:{(5,1),(31,1),(32,1),(146,1),(160,1),(194,1),(207,1)}
        15:{1,2,4,5,7}:{(5,1),(32,1),(33,1),(35,1),(81,1),(94,1),(143,1),(147,1)}
        16:{1,2,3,5,7}:{(10,1),(33,1),(34,1),(35,1),(94,1)}
        17:{3,4,5,7}:{(7,1),(11,1),(38,1),(39,1),(98,1)}
        18:{2,3,5,7}:{(6,1),(8,1),(39,1),(40,1),(98,1),(162,1)}
        19:{1,2,4,6,7}:{(6,1),(9,1),(40,1),(41,1),(99,1)}
        20:{1,4,5,6}:{(7,1),(38,1),(42,1),(190,1),(207,1)}
        21:{2,4,5,6}:{(7,1),(8,1),(39,1),(147,1),(189,1)}
        22:{1,2,5,6}:{(8,1),(9,1),(40,1),(44,1),(94,1)}
        23:{1,3,6}:{(9,1),(10,1),(194,1)}
        24:{1,3,4,7}:{(10,1),(35,1),(45,1),(99,1),(150,1)}
        25:{1,4,6,7}:{(11,1),(12,1),(38,1),(46,1),(207,1)}
        26:{2,4,6,7}:{(11,1),(13,1),(39,1),(189,1)}
        27:{1,2,5,6,7}:{(12,1),(13,1),(40,1),(47,1),(48,1),(152,1),(162,1)}
        28:{1,4,5,6,7}:{(49,1),(107,1),(137,1)}
        29:{1,3,4,6,7}:{(14,1),(51,1),(52,1),(107,1),(165,1),(168,1),(197,1)}
        30:{3,4,5,6}:{(50,1),(53,1),(54,1),(115,1),(134,1),(182,1)}
        31:{1,3,5,6}:{(14,1),(51,1),(53,1),(55,1),(72,1),(115,1),(209,1)}
        32:{1,2,4,6}:{(14,1),(15,1),(55,1),(56,1),(116,1)}
        33:{2,3,5,7}:{(15,1),(56,1),(57,1),(117,1),(176,1)}
        34:{1,2,3,6}:{(16,1),(23,1),(56,1),(62,1)}
        35:{1,2,4,7}:{(16,1),(24,1),(57,1),(62,1)}
        36:{1,3,4,5}:{(59,1),(63,1),(128,1),(134,1),(180,1)}
        37:{2,3,4,5}:{(60,1),(64,1),(127,1),(172,1),(179,1)}
        38:{1,4,5,7}:{(17,1),(20,1),(25,1),(65,1)}
        39:{2,4,5,7}:{(17,1),(18,1),(21,1),(26,1)}
        40:{1,2,5,7}:{(18,1),(19,1),(22,1),(67,1)}
        41:{1,3,6,7}:{(19,1),(23,1),(67,1),(74,1)}
        42:{1,3,5,6}:{(20,1),(59,1),(65,1),(69,1),(70,1),(180,1),(204,1)}
        43:{1,2,4,5,6}:{(20,1),(21,1),(22,1),(66,1),(69,1),(70,1),(71,1),(125,1),(133,1),(137,1),(177,1),(183,1)}
        44:{1,3,5,6}:{(22,1),(23,1),(67,1),(70,1),(71,1),(72,1)}
        45:{1,3,4,6}:{(23,1),(24,1),(62,1),(71,1),(72,1),(124,1)}
        46:{1,3,6,7}:{(25,1),(65,1),(73,1),(74,1),(204,1)}
        47:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(66,1),(73,1),(74,1),(75,1),(135,1),(177,1)}
        48:{1,3,5,6,7}:{(27,1),(67,1),(74,1),(75,1),(132,1),(136,1)}
        49:{3,5,6,7}:{(28,1),(76,1),(78,1),(163,1)}
        50:{3,4,5,7}:{(30,1),(76,1),(79,1),(80,1),(142,1)}
        51:{1,3,5,7}:{(29,1),(31,1),(79,1),(81,1),(142,1),(205,1)}
        52:{1,2,4,6,7}:{(29,1),(32,1),(81,1),(82,1),(143,1)}
        53:{1,4,5,6}:{(30,1),(31,1),(79,1),(103,1),(160,1)}
        54:{2,4,5,6}:{(30,1),(80,1),(83,1),(161,1),(196,1)}
        55:{1,2,5,6}:{(31,1),(32,1),(81,1),(85,1),(94,1)}
        56:{2,3,6}:{(32,1),(33,1),(194,1)}
        57:{2,3,4,7}:{(33,1),(35,1),(86,1),(143,1),(150,1)}
        58:{1,2,3,6,7}:{(34,1),(41,1),(82,1),(89,1),(90,1),(104,1),(184,1),(194,1),(208,1)}
        59:{1,3,4,6}:{(36,1),(42,1),(87,1),(91,1),(102,1)}
        60:{2,3,4,6}:{(37,1),(83,1),(88,1),(92,1),(146,1)}
        61:{1,2,3,5,6}:{(34,1),(44,1),(85,1),(89,1),(93,1),(94,1),(101,1),(145,1),(152,1),(153,1),(156,1),(194,1),(195,1),(208,1)}
        62:{1,2,4,6}:{(34,1),(35,1),(45,1),(86,1),(94,1)}
        63:{1,2,4,5}:{(36,1),(91,1),(95,1),(157,1),(161,1),(195,1)}
        64:{1,2,4,5}:{(37,1),(92,1),(96,1),(157,1),(190,1),(195,1)}
        65:{1,3,5,7}:{(38,1),(42,1),(46,1),(87,1),(97,1),(98,1)}
        66:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(47,1),(97,1),(98,1),(99,1),(106,1),(158,1),(162,1)}
        67:{1,3,5,7}:{(40,1),(41,1),(44,1),(98,1),(99,1)}
        68:{1,3,4,6,7}:{(41,1),(45,1),(90,1),(99,1),(100,1),(105,1),(150,1),(160,1),(194,1)}
        69:{1,2,5,6}:{(42,1),(91,1),(97,1),(101,1),(195,1),(208,1)}
        70:{3,5,6}:{(43,1),(98,1),(102,1),(156,1),(194,1)}
        71:{1,4,6}:{(44,1),(99,1),(102,1),(103,1)}
        72:{1,3,5}:{(45,1),(94,1),(103,1),(156,1)}
        73:{1,2,6,7}:{(46,1),(97,1),(104,1),(208,1)}
        74:{3,6,7}:{(47,1),(98,1),(194,1)}
        75:{1,4,6,7}:{(48,1),(99,1),(105,1),(106,1),(160,1)}
        76:{3,4,6,7}:{(49,1),(50,1),(107,1),(108,1),(165,1),(182,1)}
        77:{1,3,5,6,7}:{(49,1),(51,1),(107,1),(109,1),(132,1),(165,1)}
        78:{2,5,6,7}:{(49,1),(108,1),(183,1)}
        79:{1,4,5,7}:{(50,1),(51,1),(53,1),(107,1)}
        80:{2,4,5,7}:{(50,1),(54,1),(108,1),(110,1)}
        81:{1,2,5,7}:{(51,1),(52,1),(55,1),(112,1)}
        82:{2,3,6,7}:{(52,1),(56,1),(112,1),(165,1)}
        83:{2,3,5,6}:{(54,1),(60,1),(110,1),(114,1),(115,1),(179,1),(203,1)}
        84:{1,2,4,5,6}:{(53,1),(54,1),(55,1),(111,1),(114,1),(115,1),(116,1),(125,1),(171,1),(177,1),(199,1),(209,1)}
        85:{2,3,5,6}:{(55,1),(56,1),(112,1),(115,1),(116,1),(117,1)}
        86:{2,3,4,6}:{(56,1),(57,1),(62,1),(116,1),(117,1),(124,1)}
        87:{1,3,4,7}:{(59,1),(65,1),(118,1),(130,1)}
        88:{2,3,4,7}:{(60,1),(110,1),(119,1),(168,1)}
        89:{1,2,3,5,7}:{(58,1),(61,1),(67,1),(112,1),(120,1),(121,1),(129,1),(167,1),(173,1),(176,1),(202,1)}
        90:{1,2,4,6,7}:{(58,1),(62,1),(68,1),(113,1),(120,1),(121,1),(135,1),(177,1),(197,1)}
        91:{1,2,4,6}:{(59,1),(63,1),(69,1),(118,1),(122,1),(133,1)}
        92:{1,2,4,6}:{(60,1),(64,1),(114,1),(119,1),(123,1),(171,1)}
        93:{1,2,4,6}:{(61,1),(71,1),(116,1),(120,1),(124,1),(125,1),(133,1),(171,1)}
        94:{1,2,5}:{(62,1),(72,1),(117,1)}
        95:{2,3,5}:{(63,1),(122,1),(127,1)}
        96:{1,3,5}:{(64,1),(123,1),(128,1)}
        97:{1,2,5,7}:{(65,1),(69,1),(73,1),(118,1),(129,1)}
        98:{3,5,7}:{(66,1),(70,1),(74,1),(130,1)}
        99:{1,4,7}:{(67,1),(71,1),(130,1)}
       100:{1,3,5,7}:{(68,1),(72,1),(121,1),(131,1),(132,1),(136,1),(176,1)}
       101:{2,3,5,6}:{(69,1),(70,1),(122,1),(129,1),(133,1),(179,1),(183,1),(203,1)}
       102:{3,4,6}:{(70,1),(71,1),(130,1),(133,1),(134,1)}
       103:{1,4,5}:{(71,1),(72,1),(134,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(129,1),(135,1),(203,1)}
       105:{3,4,6,7}:{(74,1),(75,1),(130,1),(135,1),(136,1),(182,1)}
       106:{1,4,5,7}:{(75,1),(136,1),(137,1)}
       107:{1,4,6,7}:{(76,1),(77,1),(79,1),(160,1)}
       108:{2,4,6,7}:{(76,1),(78,1),(80,1),(138,1),(196,1)}
       109:{1,2,5,6,7}:{(77,1),(78,1),(81,1),(139,1),(140,1),(152,1),(205,1)}
       110:{2,3,5,7}:{(80,1),(83,1),(88,1),(138,1),(141,1),(142,1)}
       111:{1,2,4,5,7}:{(79,1),(80,1),(81,1),(84,1),(139,1),(141,1),(142,1),(143,1),(186,1),(187,1),(205,1)}
       112:{2,3,5,7}:{(81,1),(82,1),(85,1),(142,1),(143,1)}
       113:{2,3,4,6,7}:{(82,1),(86,1),(90,1),(143,1),(144,1),(150,1),(185,1),(189,1),(194,1)}
       114:{1,2,5,6}:{(83,1),(92,1),(141,1),(145,1),(195,1),(208,1)}
       115:{3,5,6}:{(84,1),(142,1),(146,1),(156,1),(194,1)}
       116:{2,4,6}:{(85,1),(143,1),(146,1),(147,1)}
       117:{2,3,5}:{(86,1),(94,1),(147,1),(156,1)}
       118:{1,2,4,7}:{(87,1),(91,1),(97,1),(148,1),(158,1)}
       119:{1,2,4,7}:{(88,1),(92,1),(141,1),(149,1),(187,1)}
       120:{1,2,4,7}:{(89,1),(93,1),(99,1),(143,1),(150,1),(158,1),(187,1)}
       121:{1,2,5,7}:{(90,1),(94,1),(100,1),(144,1),(152,1),(162,1),(205,1)}
       122:{2,3,6}:{(91,1),(95,1),(148,1)}
       123:{1,3,6}:{(92,1),(96,1),(149,1)}
       124:{3,4,6}:{(93,1),(150,1),(156,1),(194,1)}
       125:{1,2,4,5}:{(93,1),(94,1),(103,1),(147,1),(156,1),(161,1),(190,1),(195,1)}
       126:{1,2,3,5}:{(95,1),(96,1),(153,1),(157,1),(195,1)}
       127:{2,3,4}:{(95,1),(157,1)}
       128:{1,3,4}:{(96,1),(157,1)}
       129:{2,3,5,7}:{(97,1),(98,1),(101,1),(104,1),(148,1),(158,1),(162,1)}
       130:{3,4,7}:{(98,1),(99,1),(102,1),(158,1)}
       131:{1,4,5,7}:{(99,1),(100,1),(103,1),(159,1),(160,1)}
       132:{1,3,5,6}:{(100,1),(152,1),(160,1),(163,1),(194,1)}
       133:{2,4,6}:{(101,1),(102,1),(158,1),(161,1)}
       134:{3,4,5}:{(102,1),(103,1),(156,1),(161,1)}
       135:{2,4,6,7}:{(104,1),(105,1),(158,1),(162,1),(196,1)}
       136:{3,5,7}:{(105,1),(106,1),(162,1),(163,1)}
       137:{1,4,5,6}:{(106,1),(160,1),(163,1)}
       138:{2,3,6,7}:{(108,1),(110,1),(164,1),(165,1),(203,1)}
       139:{1,2,4,6,7}:{(107,1),(108,1),(109,1),(111,1),(164,1),(165,1),(166,1),(177,1),(197,1)}
       140:{2,3,5,6,7}:{(109,1),(112,1),(165,1),(166,1),(170,1),(198,1)}
       141:{1,2,5,7}:{(110,1),(114,1),(119,1),(164,1),(167,1)}
       142:{3,5,7}:{(111,1),(115,1),(165,1),(168,1)}
       143:{2,4,7}:{(112,1),(116,1),(168,1)}
       144:{2,3,5,7}:{(113,1),(117,1),(121,1),(169,1),(170,1),(176,1),(198,1)}
       145:{1,3,5,6}:{(114,1),(115,1),(123,1),(167,1),(171,1),(180,1),(204,1),(209,1)}
       146:{3,4,6}:{(115,1),(116,1),(168,1),(171,1),(172,1)}
       147:{2,4,5}:{(116,1),(117,1),(172,1)}
       148:{2,3,7}:{(118,1),(122,1)}
       149:{1,3,7}:{(119,1),(123,1)}
       150:{3,4,7}:{(120,1),(124,1),(176,1)}
       151:{1,2,4,5,7}:{(120,1),(121,1),(125,1),(131,1),(169,1),(176,1),(177,1),(181,1),(200,1),(202,1)}
       152:{1,2,5,6}:{(121,1),(132,1),(170,1),(177,1),(183,1),(209,1)}
       153:{1,2,3,6}:{(122,1),(123,1),(126,1),(173,1),(178,1)}
       154:{2,3,4,6}:{(122,1),(124,1),(127,1),(133,1),(174,1),(178,1),(179,1),(203,1)}
       155:{1,3,4,6}:{(123,1),(124,1),(128,1),(171,1),(175,1),(178,1),(180,1),(204,1)}
       156:{3,5}:{(124,1),(125,1)}
       157:{1,2,4}:{(126,1),(127,1),(128,1)}
       158:{2,4,7}:{(129,1),(130,1),(133,1)}
       159:{3,4,5,7}:{(130,1),(131,1),(134,1),(136,1),(176,1),(181,1),(182,1)}
       160:{1,4,6}:{(131,1),(132,1),(182,1)}
       161:{2,4,5}:{(133,1),(134,1),(179,1)}
       162:{2,5,7}:{(135,1),(136,1),(183,1)}
       163:{3,5,6}:{(136,1),(137,1),(182,1),(183,1)}
       164:{1,2,6,7}:{(138,1),(141,1),(184,1),(208,1)}
       165:{3,6,7}:{(139,1),(142,1),(194,1)}
       166:{2,4,6,7}:{(140,1),(143,1),(185,1),(186,1),(189,1)}
       167:{1,3,5,7}:{(141,1),(142,1),(145,1),(149,1),(184,1),(187,1),(205,1)}
       168:{3,4,7}:{(142,1),(143,1),(146,1),(187,1)}
       169:{2,4,5,7}:{(143,1),(144,1),(147,1),(188,1),(189,1)}
       170:{2,3,5,6}:{(144,1),(152,1),(189,1),(194,1),(206,1)}
       171:{1,4,6}:{(145,1),(146,1),(187,1),(190,1)}
       172:{3,4,5}:{(146,1),(147,1),(156,1),(190,1)}
       173:{1,2,3,7}:{(148,1),(149,1),(153,1),(191,1)}
       174:{2,3,4,7}:{(148,1),(150,1),(154,1),(158,1),(191,1),(192,1)}
       175:{1,3,4,7}:{(149,1),(150,1),(155,1),(187,1),(191,1),(193,1)}
       176:{3,5,7}:{(150,1),(151,1),(156,1),(194,1)}
       177:{1,2,4,6}:{(151,1),(152,1),(160,1),(189,1),(194,1),(196,1),(207,1),(208,1)}
       178:{1,2,4,6}:{(153,1),(154,1),(155,1),(157,1),(191,1),(195,1),(208,1)}
       179:{2,3,5}:{(154,1),(156,1),(161,1),(195,1)}
       180:{1,3,5}:{(155,1),(156,1),(190,1),(195,1)}
       181:{2,4,5,7}:{(158,1),(159,1),(161,1),(162,1),(192,1),(196,1)}
       182:{3,4,6}:{(159,1),(160,1),(163,1),(194,1),(196,1)}
       183:{2,5,6}:{(162,1),(163,1),(196,1)}
       184:{1,3,6,7}:{(164,1),(165,1),(167,1),(197,1),(204,1)}
       185:{3,4,6,7}:{(165,1),(166,1),(168,1),(197,1),(198,1),(201,1)}
       186:{2,4,5,7}:{(166,1),(198,1),(199,1)}
       187:{1,4,7}:{(167,1),(168,1),(171,1)}
       188:{3,4,5,7}:{(168,1),(169,1),(172,1),(176,1),(198,1),(200,1),(201,1)}
       189:{2,4,6}:{(169,1),(170,1),(201,1)}
       190:{1,4,5}:{(171,1),(172,1),(180,1)}
       191:{1,2,4,7}:{(173,1),(174,1),(175,1),(178,1),(202,1)}
       192:{2,3,5,7}:{(174,1),(176,1),(179,1),(181,1),(202,1),(203,1)}
       193:{1,3,5,7}:{(175,1),(176,1),(180,1),(200,1),(202,1),(204,1)}
       194:{3,6}:{(176,1),(177,1)}
       195:{1,2,5}:{(178,1),(179,1),(180,1)}
       196:{2,4,6}:{(181,1),(182,1),(183,1),(203,1)}
       197:{1,4,6,7}:{(184,1),(185,1),(187,1),(205,1),(207,1)}
       198:{3,5,7}:{(185,1),(186,1),(205,1),(206,1)}
       199:{2,4,5,6}:{(186,1),(189,1),(206,1)}
       200:{1,4,5,7}:{(187,1),(188,1),(190,1),(193,1),(205,1),(207,1)}
       201:{3,4,6}:{(188,1),(189,1),(194,1),(206,1),(207,1)}
       202:{1,2,5,7}:{(191,1),(192,1),(193,1),(195,1),(208,1)}
       203:{2,3,6}:{(192,1),(194,1),(196,1),(208,1)}
       204:{1,3,6}:{(193,1),(194,1),(207,1),(208,1)}
       205:{1,5,7}:{(197,1),(198,1),(209,1)}
       206:{3,5,6}:{(198,1),(199,1),(201,1),(209,1)}
       207:{1,4,6}:{(200,1),(201,1),(204,1),(209,1)}
       208:{1,2,6}:{(202,1),(203,1),(204,1)}
       209:{1,5,6}:{(205,1),(206,1),(207,1)}

1968 :   0:{2,4,5,6,7}:{(1,1),(13,1),(205,1)}
         1:{3,5,6,7}:{(0,1),(4,1),(5,1),(208,1)}
         2:{3,4,5,6}:{(7,1),(8,1),(9,1),(35,1),(184,1),(204,1)}
         3:{2,3,4,5,7}:{(10,1),(11,1),(30,1),(82,1),(83,1),(89,1),(144,1),(150,1),(185,1),(188,1)}
         4:{3,4,6,7}:{(1,1),(7,1),(12,1),(13,1),(43,1),(204,1)}
         5:{1,5,6,7}:{(1,1),(12,1),(209,1)}
         6:{2,3,5,6,7}:{(1,1),(13,1),(14,1),(30,1),(43,1),(189,1)}
         7:{3,4,5,7}:{(2,1),(4,1),(18,1),(19,1),(54,1)}
         8:{1,4,5,6}:{(2,1),(17,1),(18,1),(192,1),(207,1)}
         9:{2,4,5,6}:{(2,1),(16,1),(19,1),(172,1),(199,1)}
        10:{2,3,4,6}:{(3,1),(16,1),(23,1),(55,1),(169,1),(197,1),(199,1)}
        11:{1,2,4,5,7}:{(3,1),(23,1),(24,1),(50,1),(62,1),(111,1),(112,1),(123,1)}
        12:{1,4,6,7}:{(4,1),(5,1),(18,1),(25,1),(207,1)}
        13:{2,4,6,7}:{(4,1),(6,1),(19,1),(199,1)}
        14:{1,2,5,6,7}:{(5,1),(6,1),(26,1),(27,1),(50,1),(125,1),(174,1)}
        15:{1,3,4,5}:{(28,1),(29,1),(83,1),(131,1),(179,1)}
        16:{2,3,5,6}:{(9,1),(10,1),(30,1),(31,1),(35,1),(150,1),(153,1)}
        17:{1,3,5,6}:{(8,1),(28,1),(32,1),(33,1),(35,1),(179,1),(202,1)}
        18:{1,4,5,7}:{(7,1),(8,1),(12,1),(32,1)}
        19:{2,4,5,7}:{(7,1),(9,1),(13,1),(30,1)}
        20:{1,2,4,5,6}:{(8,1),(9,1),(31,1),(33,1),(34,1),(35,1),(79,1),(81,1),(96,1),(142,1),(153,1),(186,1)}
        21:{1,3,4,5,7}:{(36,1),(37,1),(41,1),(85,1),(93,1),(143,1),(183,1),(184,1),(185,1),(201,1)}
        22:{2,3,4,6,7}:{(10,1),(13,1),(30,1),(39,1),(43,1),(82,1),(94,1)}
        23:{1,2,4,6}:{(10,1),(11,1),(31,1),(40,1),(79,1)}
        24:{1,3,5,7}:{(11,1),(40,1),(41,1),(93,1),(185,1)}
        25:{1,3,6,7}:{(12,1),(32,1),(42,1),(43,1),(202,1)}
        26:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(34,1),(42,1),(43,1),(44,1),(94,1),(186,1)}
        27:{1,3,5,6,7}:{(14,1),(43,1),(44,1),(78,1),(95,1),(152,1)}
        28:{1,3,4,6}:{(15,1),(17,1),(46,1),(47,1),(55,1)}
        29:{1,2,4,5}:{(15,1),(47,1),(48,1),(102,1),(114,1),(160,1)}
        30:{2,3,5,7}:{(16,1),(19,1),(22,1),(50,1),(54,1),(125,1)}
        31:{1,2,5,6}:{(16,1),(23,1),(50,1),(51,1),(123,1)}
        32:{1,3,5,7}:{(17,1),(18,1),(25,1),(46,1),(52,1),(54,1)}
        33:{1,2,5,6}:{(17,1),(47,1),(52,1),(53,1),(160,1),(194,1)}
        34:{1,2,4,5,7}:{(18,1),(19,1),(20,1),(26,1),(50,1),(52,1),(54,1),(67,1),(111,1),(113,1),(125,1)}
        35:{3,5,6}:{(20,1),(54,1),(55,1),(166,1),(197,1)}
        36:{1,3,4,6}:{(21,1),(57,1),(59,1),(164,1),(168,1),(197,1),(207,1)}
        37:{1,2,4,5,7}:{(21,1),(59,1),(60,1),(62,1),(118,1),(123,1),(171,1),(172,1)}
        38:{1,2,3,5,7}:{(24,1),(60,1),(61,1),(62,1),(123,1)}
        39:{1,2,4,6,7}:{(22,1),(23,1),(50,1),(63,1),(111,1)}
        40:{1,3,6}:{(23,1),(24,1),(197,1)}
        41:{1,3,4,7}:{(24,1),(62,1),(64,1),(111,1),(165,1)}
        42:{1,2,6,7}:{(25,1),(52,1),(65,1),(194,1)}
        43:{3,6,7}:{(26,1),(54,1),(197,1)}
        44:{1,4,6,7}:{(27,1),(66,1),(67,1),(111,1),(168,1)}
        45:{2,3,4,5}:{(68,1),(69,1),(73,1),(135,1),(184,1)}
        46:{1,3,4,7}:{(28,1),(32,1),(71,1),(82,1)}
        47:{1,2,4,6}:{(28,1),(29,1),(33,1),(71,1),(72,1),(81,1)}
        48:{2,3,5}:{(29,1),(72,1),(73,1)}
        49:{3,4,5,6}:{(74,1),(75,1),(76,1),(83,1),(139,1),(145,1)}
        50:{1,2,5,7}:{(30,1),(31,1),(39,1),(78,1)}
        51:{1,3,5,6}:{(31,1),(35,1),(40,1),(78,1),(79,1),(93,1)}
        52:{1,2,5,7}:{(32,1),(33,1),(42,1),(71,1),(80,1)}
        53:{2,3,5,6}:{(33,1),(35,1),(72,1),(80,1),(81,1),(135,1),(153,1),(181,1)}
        54:{3,5,7}:{(34,1),(35,1),(43,1),(82,1)}
        55:{3,4,6}:{(35,1),(79,1),(81,1),(82,1),(83,1)}
        56:{1,4,5,6,7}:{(84,1),(96,1),(136,1)}
        57:{1,3,5,6}:{(36,1),(75,1),(85,1),(86,1),(93,1),(139,1),(209,1)}
        58:{1,3,4,6,7}:{(36,1),(85,1),(87,1),(136,1),(182,1),(183,1),(200,1)}
        59:{1,2,4,6}:{(36,1),(37,1),(86,1),(88,1),(148,1)}
        60:{2,3,5,7}:{(37,1),(88,1),(89,1),(150,1),(185,1)}
        61:{1,2,3,6}:{(38,1),(40,1),(88,1),(91,1)}
        62:{1,2,4,7}:{(38,1),(41,1),(89,1),(91,1)}
        63:{1,3,6,7}:{(39,1),(40,1),(43,1),(78,1)}
        64:{1,3,4,6}:{(40,1),(41,1),(79,1),(91,1),(93,1),(140,1)}
        65:{2,3,6,7}:{(42,1),(43,1),(80,1),(94,1),(181,1)}
        66:{3,4,6,7}:{(43,1),(44,1),(82,1),(94,1),(95,1),(145,1)}
        67:{1,4,5,7}:{(44,1),(95,1),(96,1)}
        68:{2,3,4,6}:{(45,1),(97,1),(98,1),(99,1),(164,1)}
        69:{1,2,4,5}:{(45,1),(99,1),(100,1),(102,1),(160,1),(192,1)}
        70:{1,2,3,5}:{(48,1),(100,1),(101,1),(102,1),(160,1)}
        71:{1,2,4,7}:{(46,1),(47,1),(52,1),(103,1),(113,1)}
        72:{2,3,6}:{(47,1),(48,1),(103,1)}
        73:{2,3,4}:{(48,1),(102,1)}
        74:{3,4,5,7}:{(49,1),(105,1),(106,1),(107,1),(163,1)}
        75:{1,4,5,6}:{(49,1),(57,1),(106,1),(112,1),(168,1)}
        76:{2,4,5,6}:{(49,1),(97,1),(107,1),(114,1),(169,1)}
        77:{1,2,3,5,6}:{(51,1),(53,1),(61,1),(101,1),(109,1),(110,1),(119,1),(123,1),(156,1),(160,1),(166,1),(174,1),(194,1),(197,1)}
        78:{1,3,5,7}:{(50,1),(51,1),(54,1),(63,1),(111,1)}
        79:{1,4,6}:{(51,1),(55,1),(111,1),(112,1)}
        80:{2,3,5,7}:{(52,1),(53,1),(54,1),(65,1),(103,1),(113,1),(125,1)}
        81:{2,4,6}:{(53,1),(55,1),(113,1),(114,1)}
        82:{3,4,7}:{(54,1),(55,1),(111,1),(113,1)}
        83:{3,4,5}:{(55,1),(112,1),(114,1),(166,1)}
        84:{3,5,6,7}:{(56,1),(105,1),(117,1),(126,1)}
        85:{1,3,5,7}:{(57,1),(58,1),(106,1),(118,1),(163,1),(206,1)}
        86:{1,2,5,6}:{(57,1),(59,1),(118,1),(119,1),(123,1)}
        87:{1,2,4,6,7}:{(58,1),(59,1),(118,1),(120,1),(171,1)}
        88:{2,3,6}:{(59,1),(60,1),(197,1)}
        89:{2,3,4,7}:{(60,1),(62,1),(121,1),(165,1),(171,1)}
        90:{1,2,3,6,7}:{(61,1),(63,1),(65,1),(109,1),(120,1),(122,1),(190,1),(194,1),(197,1)}
        91:{1,2,4,6}:{(61,1),(62,1),(64,1),(121,1),(123,1)}
        92:{1,3,4,6,7}:{(63,1),(64,1),(66,1),(111,1),(122,1),(124,1),(165,1),(168,1),(197,1)}
        93:{1,3,5}:{(64,1),(112,1),(123,1),(166,1)}
        94:{2,4,6,7}:{(65,1),(66,1),(113,1),(125,1),(169,1)}
        95:{3,5,7}:{(66,1),(67,1),(125,1),(126,1)}
        96:{1,4,5,6}:{(67,1),(126,1),(168,1)}
        97:{2,3,5,6}:{(68,1),(76,1),(127,1),(128,1),(135,1),(139,1),(181,1)}
        98:{2,3,4,7}:{(68,1),(127,1),(129,1),(183,1)}
        99:{1,2,4,6}:{(68,1),(69,1),(128,1),(129,1),(130,1),(177,1)}
       100:{1,3,5}:{(69,1),(130,1),(131,1)}
       101:{1,2,3,6}:{(70,1),(72,1),(130,1),(132,1),(133,1)}
       102:{1,2,4}:{(70,1),(73,1),(131,1)}
       103:{2,3,7}:{(71,1),(72,1)}
       104:{2,3,4,6}:{(72,1),(73,1),(81,1),(133,1),(134,1),(135,1),(140,1),(181,1)}
       105:{3,4,6,7}:{(74,1),(84,1),(136,1),(137,1),(145,1),(182,1)}
       106:{1,4,5,7}:{(74,1),(75,1),(85,1),(136,1)}
       107:{2,4,5,7}:{(74,1),(76,1),(127,1),(137,1)}
       108:{1,2,4,5,6}:{(75,1),(76,1),(86,1),(128,1),(138,1),(139,1),(142,1),(148,1),(177,1),(186,1),(205,1),(209,1)}
       109:{1,2,3,5,7}:{(77,1),(78,1),(80,1),(90,1),(132,1),(141,1),(147,1),(151,1),(176,1),(180,1),(185,1)}
       110:{1,2,4,6}:{(77,1),(79,1),(81,1),(140,1),(141,1),(142,1),(148,1),(177,1)}
       111:{1,4,7}:{(78,1),(79,1),(82,1)}
       112:{1,4,5}:{(79,1),(83,1),(93,1)}
       113:{2,4,7}:{(80,1),(81,1),(82,1)}
       114:{2,4,5}:{(81,1),(83,1),(135,1)}
       115:{3,4,5,7}:{(82,1),(83,1),(95,1),(143,1),(144,1),(145,1),(185,1)}
       116:{1,3,5,6,7}:{(84,1),(85,1),(136,1),(146,1),(152,1),(182,1)}
       117:{2,5,6,7}:{(84,1),(137,1),(153,1)}
       118:{1,2,5,7}:{(85,1),(86,1),(87,1),(147,1)}
       119:{2,3,5,6}:{(86,1),(88,1),(139,1),(147,1),(148,1),(150,1)}
       120:{2,3,6,7}:{(87,1),(88,1),(147,1),(182,1)}
       121:{2,3,4,6}:{(88,1),(89,1),(91,1),(140,1),(148,1),(150,1)}
       122:{1,2,4,6,7}:{(90,1),(91,1),(92,1),(94,1),(141,1),(149,1),(151,1),(186,1),(200,1)}
       123:{1,2,5}:{(91,1),(93,1),(150,1)}
       124:{1,3,5,7}:{(92,1),(93,1),(95,1),(143,1),(151,1),(152,1),(185,1)}
       125:{2,5,7}:{(94,1),(95,1),(153,1)}
       126:{3,5,6}:{(95,1),(96,1),(145,1),(153,1)}
       127:{2,3,5,7}:{(97,1),(98,1),(107,1),(154,1),(155,1),(163,1)}
       128:{1,2,5,6}:{(97,1),(99,1),(155,1),(156,1),(160,1),(194,1)}
       129:{1,2,4,7}:{(98,1),(99,1),(155,1),(157,1),(191,1)}
       130:{1,3,6}:{(99,1),(100,1),(157,1)}
       131:{1,3,4}:{(100,1),(102,1)}
       132:{1,2,3,7}:{(101,1),(103,1),(157,1),(159,1)}
       133:{1,2,4,6}:{(101,1),(102,1),(104,1),(158,1),(159,1),(160,1),(194,1)}
       134:{2,3,4,7}:{(103,1),(104,1),(113,1),(159,1),(161,1),(165,1)}
       135:{2,3,5}:{(104,1),(114,1),(160,1),(166,1)}
       136:{1,4,6,7}:{(105,1),(106,1),(116,1),(168,1)}
       137:{2,4,6,7}:{(105,1),(107,1),(117,1),(154,1),(169,1)}
       138:{1,2,4,5,7}:{(106,1),(107,1),(108,1),(118,1),(155,1),(162,1),(163,1),(171,1),(191,1),(198,1),(206,1)}
       139:{3,5,6}:{(108,1),(163,1),(164,1),(166,1),(197,1)}
       140:{3,4,6}:{(110,1),(165,1),(166,1),(197,1)}
       141:{1,2,4,7}:{(109,1),(110,1),(111,1),(113,1),(165,1),(171,1),(191,1)}
       142:{1,2,4,5}:{(110,1),(112,1),(114,1),(123,1),(160,1),(166,1),(172,1),(192,1)}
       143:{1,4,5,7}:{(111,1),(112,1),(115,1),(124,1),(168,1)}
       144:{2,4,5,7}:{(113,1),(114,1),(115,1),(125,1),(161,1),(169,1)}
       145:{3,4,6}:{(115,1),(126,1),(168,1),(169,1),(197,1)}
       146:{1,2,5,6,7}:{(116,1),(117,1),(118,1),(162,1),(170,1),(174,1),(206,1)}
       147:{2,3,5,7}:{(118,1),(119,1),(120,1),(163,1),(171,1)}
       148:{2,4,6}:{(119,1),(164,1),(171,1),(172,1)}
       149:{2,3,4,6,7}:{(120,1),(121,1),(122,1),(165,1),(171,1),(173,1),(195,1),(197,1),(199,1)}
       150:{2,3,5}:{(121,1),(123,1),(166,1),(172,1)}
       151:{1,2,5,7}:{(122,1),(123,1),(124,1),(125,1),(173,1),(174,1),(206,1)}
       152:{1,3,5,6}:{(124,1),(126,1),(168,1),(174,1),(197,1)}
       153:{2,5,6}:{(125,1),(126,1),(169,1)}
       154:{2,3,6,7}:{(127,1),(137,1),(175,1),(181,1),(182,1)}
       155:{1,2,5,7}:{(127,1),(128,1),(129,1),(175,1),(176,1)}
       156:{1,3,5,6}:{(128,1),(130,1),(139,1),(176,1),(177,1),(179,1),(202,1),(209,1)}
       157:{1,3,7}:{(129,1),(130,1)}
       158:{1,3,4,6}:{(130,1),(131,1),(133,1),(140,1),(177,1),(178,1),(179,1),(202,1)}
       159:{1,2,4,7}:{(132,1),(133,1),(134,1),(178,1),(180,1)}
       160:{1,2,5}:{(133,1),(135,1),(179,1)}
       161:{2,3,5,7}:{(134,1),(135,1),(144,1),(180,1),(181,1),(185,1)}
       162:{1,2,4,6,7}:{(136,1),(137,1),(138,1),(146,1),(175,1),(182,1),(186,1),(187,1),(200,1)}
       163:{3,5,7}:{(138,1),(139,1),(182,1),(183,1)}
       164:{3,4,6}:{(139,1),(148,1),(177,1),(183,1),(184,1)}
       165:{3,4,7}:{(140,1),(141,1),(185,1)}
       166:{3,5}:{(140,1),(142,1)}
       167:{1,2,4,5,7}:{(141,1),(142,1),(143,1),(144,1),(151,1),(180,1),(185,1),(186,1),(188,1),(201,1)}
       168:{1,4,6}:{(143,1),(145,1),(152,1)}
       169:{2,4,6}:{(144,1),(145,1),(153,1),(181,1)}
       170:{2,3,5,6,7}:{(146,1),(147,1),(182,1),(187,1),(189,1),(203,1)}
       171:{2,4,7}:{(147,1),(148,1),(183,1)}
       172:{2,4,5}:{(148,1),(150,1),(184,1)}
       173:{2,3,5,7}:{(149,1),(150,1),(151,1),(185,1),(188,1),(189,1),(203,1)}
       174:{1,2,5,6}:{(151,1),(152,1),(153,1),(186,1),(189,1),(209,1)}
       175:{1,2,6,7}:{(154,1),(155,1),(190,1),(194,1)}
       176:{1,3,5,7}:{(155,1),(156,1),(157,1),(163,1),(190,1),(191,1),(206,1)}
       177:{1,4,6}:{(156,1),(164,1),(191,1),(192,1)}
       178:{1,3,4,7}:{(157,1),(158,1),(159,1),(165,1),(191,1),(193,1)}
       179:{1,3,5}:{(158,1),(160,1),(166,1),(192,1)}
       180:{1,2,5,7}:{(159,1),(160,1),(161,1),(193,1),(194,1)}
       181:{2,3,6}:{(161,1),(169,1),(194,1),(197,1)}
       182:{3,6,7}:{(162,1),(163,1),(197,1)}
       183:{3,4,7}:{(163,1),(164,1),(171,1),(191,1)}
       184:{3,4,5}:{(164,1),(166,1),(172,1),(192,1)}
       185:{3,5,7}:{(165,1),(166,1),(167,1),(197,1)}
       186:{1,2,4,6}:{(167,1),(168,1),(169,1),(174,1),(194,1),(197,1),(199,1),(207,1)}
       187:{2,4,6,7}:{(170,1),(171,1),(195,1),(198,1),(199,1)}
       188:{2,4,5,7}:{(171,1),(172,1),(173,1),(196,1),(199,1)}
       189:{2,3,5,6}:{(173,1),(174,1),(197,1),(199,1),(208,1)}
       190:{1,3,6,7}:{(175,1),(176,1),(182,1),(200,1),(202,1)}
       191:{1,4,7}:{(176,1),(177,1),(183,1)}
       192:{1,4,5}:{(177,1),(179,1),(184,1)}
       193:{1,3,5,7}:{(178,1),(179,1),(180,1),(185,1),(201,1),(202,1)}
       194:{1,2,6}:{(180,1),(181,1),(202,1)}
       195:{3,4,6,7}:{(182,1),(183,1),(187,1),(200,1),(203,1),(204,1)}
       196:{3,4,5,7}:{(183,1),(184,1),(185,1),(188,1),(201,1),(203,1),(204,1)}
       197:{3,6}:{(185,1),(186,1)}
       198:{2,4,5,7}:{(187,1),(203,1),(205,1)}
       199:{2,4,6}:{(188,1),(189,1),(204,1)}
       200:{1,4,6,7}:{(190,1),(191,1),(195,1),(206,1),(207,1)}
       201:{1,4,5,7}:{(191,1),(192,1),(193,1),(196,1),(206,1),(207,1)}
       202:{1,3,6}:{(193,1),(194,1),(197,1),(207,1)}
       203:{3,5,7}:{(195,1),(198,1),(206,1),(208,1)}
       204:{3,4,6}:{(196,1),(197,1),(199,1),(207,1),(208,1)}
       205:{2,4,5,6}:{(198,1),(199,1),(208,1)}
       206:{1,5,7}:{(200,1),(203,1),(209,1)}
       207:{1,4,6}:{(201,1),(202,1),(204,1),(209,1)}
       208:{3,5,6}:{(203,1),(204,1),(205,1),(209,1)}
       209:{1,5,6}:{(206,1),(207,1),(208,1)}

1969 :   0:{1,3,4,5,6}:{(2,1),(3,1),(36,1),(59,1),(88,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(20,1),(95,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(44,1),(47,1),(75,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(24,1),(73,1),(76,1)}
         4:{1,4,5,6,7}:{(1,1),(9,1),(87,1)}
         5:{2,4,5,6,7}:{(1,1),(10,1),(100,1)}
         6:{1,3,4,6,7}:{(2,1),(9,1),(12,1),(31,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(12,1),(13,1),(34,1),(57,1),(61,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1)}
         9:{1,3,5,6,7}:{(4,1),(6,1),(18,1),(20,1),(75,1)}
        10:{2,3,5,6,7}:{(5,1),(17,1),(19,1),(20,1),(93,1)}
        11:{1,2,4,5,6,7}:{(4,1),(5,1),(18,1),(19,1),(20,1),(42,1),(43,1),(72,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(18,1),(21,1),(42,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(21,1),(23,1)}
        14:{1,2,3,5,6}:{(8,1),(22,1),(24,1),(50,1),(76,1),(77,1)}
        15:{2,3,4,6}:{(8,1),(23,1),(24,1),(25,1)}
        16:{2,3,4,5,6}:{(26,1),(27,1),(59,1),(80,1),(101,1)}
        17:{2,3,4,6,7}:{(10,1),(26,1),(28,1),(31,1)}
        18:{1,2,5,6,7}:{(9,1),(12,1),(29,1),(61,1)}
        19:{1,2,5,6,7}:{(10,1),(28,1),(30,1),(83,1)}
        20:{3,5,6,7}:{(11,1),(31,1),(85,1)}
        21:{2,3,6,7}:{(12,1),(13,1)}
        22:{1,2,3,5,7}:{(13,1),(14,1),(32,1),(34,1),(61,1),(63,1)}
        23:{2,3,4,7}:{(13,1),(15,1),(34,1)}
        24:{1,2,4,6}:{(14,1),(15,1),(34,1),(36,1),(37,1)}
        25:{2,3,4,5}:{(15,1),(37,1)}
        26:{2,3,4,5,7}:{(16,1),(17,1),(38,1),(44,1),(89,1),(93,1)}
        27:{1,2,4,5,6}:{(16,1),(38,1),(39,1),(67,1),(74,1),(94,1)}
        28:{1,2,4,6,7}:{(17,1),(19,1),(38,1),(40,1),(43,1)}
        29:{2,3,5,6,7}:{(18,1),(20,1),(21,1),(42,1),(46,1)}
        30:{1,3,5,6,7}:{(19,1),(20,1),(40,1),(43,1),(70,1)}
        31:{3,4,6,7}:{(20,1),(42,1),(43,1),(44,1)}
        32:{1,2,3,6,7}:{(21,1),(22,1),(45,1),(77,1)}
        33:{2,3,4,6,7}:{(21,1),(23,1),(42,1),(45,1),(46,1),(49,1),(71,1)}
        34:{1,2,4,7}:{(22,1),(23,1),(24,1),(47,1)}
        35:{2,3,4,5,7}:{(23,1),(25,1),(46,1),(48,1),(49,1),(95,1)}
        36:{1,3,4,6}:{(24,1),(47,1),(50,1),(77,1)}
        37:{1,2,4,5}:{(24,1),(25,1),(50,1)}
        38:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(51,1),(58,1),(78,1),(83,1)}
        39:{1,3,5,6}:{(27,1),(51,1),(53,1)}
        40:{1,3,6,7}:{(28,1),(51,1)}
        41:{1,2,3,5,6,7}:{(29,1),(30,1),(32,1),(54,1),(56,1),(61,1),(83,1),(85,1),(88,1),(101,1)}
        42:{2,4,6,7}:{(29,1),(31,1),(57,1)}
        43:{1,4,6,7}:{(30,1),(31,1),(58,1)}
        44:{3,4,5,7}:{(31,1),(57,1),(58,1),(59,1),(85,1)}
        45:{1,2,4,6,7}:{(32,1),(33,1),(34,1),(60,1),(61,1),(64,1)}
        46:{2,3,5,7}:{(33,1),(57,1),(61,1),(62,1),(85,1)}
        47:{1,3,4,7}:{(34,1),(36,1),(63,1)}
        48:{1,2,4,5,7}:{(34,1),(35,1),(37,1),(61,1),(63,1),(64,1),(87,1)}
        49:{2,3,4,6}:{(35,1),(62,1),(64,1),(102,1)}
        50:{1,3,5}:{(36,1),(37,1)}
        51:{1,3,5,7}:{(38,1),(39,1),(40,1),(66,1)}
        52:{1,2,3,5,6}:{(39,1),(65,1),(67,1),(92,1),(94,1),(103,1)}
        53:{1,3,4,6}:{(39,1),(66,1),(67,1),(68,1)}
        54:{1,2,3,6,7}:{(40,1),(65,1),(69,1),(103,1)}
        55:{1,3,4,6,7}:{(40,1),(43,1),(66,1),(69,1),(70,1),(71,1),(91,1)}
        56:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(71,1),(72,1),(97,1),(104,1)}
        57:{2,4,5,7}:{(42,1),(44,1),(46,1),(73,1)}
        58:{1,4,5,7}:{(43,1),(44,1),(70,1),(74,1)}
        59:{3,4,5,6}:{(44,1),(73,1),(74,1),(96,1)}
        60:{1,3,4,6,7}:{(45,1),(47,1),(71,1),(75,1),(77,1),(97,1)}
        61:{1,2,5,7}:{(45,1),(46,1),(75,1),(76,1)}
        62:{2,3,5,6}:{(46,1),(49,1),(73,1),(76,1),(96,1)}
        63:{1,3,5,7}:{(47,1),(48,1),(50,1),(77,1)}
        64:{1,2,4,6}:{(48,1),(49,1),(76,1),(77,1),(97,1)}
        65:{1,2,3,5,7}:{(51,1),(52,1),(54,1),(78,1),(83,1),(98,1)}
        66:{1,3,4,7}:{(51,1),(53,1),(78,1)}
        67:{1,2,4,6}:{(52,1),(53,1),(78,1),(80,1),(81,1)}
        68:{1,3,4,5}:{(53,1),(81,1)}
        69:{1,2,4,6,7}:{(54,1),(55,1),(78,1),(82,1),(83,1),(99,1)}
        70:{1,3,5,7}:{(55,1),(58,1),(83,1),(84,1),(85,1)}
        71:{3,4,6,7}:{(56,1),(85,1),(102,1)}
        72:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(61,1),(83,1),(85,1),(86,1),(87,1),(100,1)}
        73:{2,4,5,6}:{(57,1),(59,1),(62,1)}
        74:{1,4,5,6}:{(58,1),(59,1),(84,1)}
        75:{1,3,5,7}:{(60,1),(61,1),(85,1),(87,1),(88,1)}
        76:{1,2,5,6}:{(61,1),(62,1),(64,1),(88,1)}
        77:{1,3,6}:{(63,1),(64,1)}
        78:{1,2,4,7}:{(65,1),(66,1),(67,1),(89,1)}
        79:{1,3,4,5,7}:{(66,1),(68,1),(70,1),(90,1),(91,1),(95,1)}
        80:{2,3,4,6}:{(67,1),(89,1),(92,1),(103,1)}
        81:{1,2,4,5}:{(67,1),(68,1),(92,1)}
        82:{2,3,4,6,7}:{(69,1),(71,1),(89,1),(93,1),(103,1),(104,1)}
        83:{1,2,5,7}:{(69,1),(70,1),(93,1),(94,1)}
        84:{1,3,5,6}:{(70,1),(74,1),(91,1),(94,1),(96,1)}
        85:{3,5,7}:{(71,1),(72,1),(96,1)}
        86:{1,2,4,5,6}:{(72,1),(73,1),(74,1),(76,1),(94,1),(96,1),(97,1),(104,1)}
        87:{1,4,5,7}:{(75,1),(95,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(77,1),(96,1),(97,1)}
        89:{2,3,4,7}:{(78,1),(80,1),(98,1)}
        90:{1,2,4,5,7}:{(78,1),(79,1),(81,1),(83,1),(98,1),(99,1),(100,1)}
        91:{1,3,4,6}:{(79,1),(84,1),(99,1),(102,1)}
        92:{2,3,5}:{(80,1),(81,1)}
        93:{2,3,5,7}:{(82,1),(83,1),(85,1),(100,1),(101,1)}
        94:{1,2,5,6}:{(83,1),(84,1),(99,1),(101,1)}
        95:{3,4,5,7}:{(85,1),(87,1),(100,1),(102,1)}
        96:{3,5,6}:{(85,1),(86,1),(102,1)}
        97:{1,4,6}:{(87,1),(88,1),(102,1)}
        98:{2,3,5,7}:{(89,1),(90,1),(92,1),(103,1)}
        99:{1,2,4,6}:{(90,1),(91,1),(94,1),(103,1),(104,1)}
       100:{2,4,5,7}:{(93,1),(95,1),(104,1)}
       101:{2,3,5,6}:{(93,1),(94,1),(96,1),(103,1),(104,1)}
       102:{3,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       103:{2,3,6}:{(98,1),(99,1)}
       104:{2,4,6}:{(100,1),(101,1),(102,1)}

1970 :   0:{1,3,4,5,6}:{(1,1),(2,1),(20,1),(66,1),(75,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(54,1),(62,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(60,1),(63,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(50,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(47,1),(51,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(30,1),(55,1),(60,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(37,1),(78,1)}
         8:{1,3,5,6,7}:{(3,1),(14,1),(16,1),(37,1),(54,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(38,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{2,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(43,1),(47,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(8,1),(65,1)}
        15:{2,4,5,6,7}:{(7,1),(24,1),(88,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(47,1)}
        17:{2,3,6,7}:{(9,1),(10,1)}
        18:{2,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{2,3,4,5}:{(11,1),(23,1)}
        20:{1,3,4,6}:{(13,1),(29,1),(30,1),(55,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(34,1),(55,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(29,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(30,1)}
        24:{2,3,5,6,7}:{(15,1),(32,1),(36,1),(37,1),(83,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(36,1),(37,1),(38,1),(59,1),(61,1)}
        26:{2,3,5,6,7}:{(16,1),(17,1),(37,1),(38,1),(39,1)}
        27:{2,3,4,6,7}:{(17,1),(18,1),(34,1),(38,1),(39,1),(40,1),(58,1)}
        28:{2,3,4,5,7}:{(18,1),(19,1),(35,1),(39,1),(40,1),(78,1)}
        29:{1,3,4,7}:{(20,1),(22,1),(43,1)}
        30:{1,3,5}:{(20,1),(23,1)}
        31:{2,3,4,5,6}:{(41,1),(44,1),(75,1),(91,1),(94,1)}
        32:{2,3,4,6,7}:{(24,1),(41,1),(45,1),(50,1)}
        33:{1,2,3,5,6,7}:{(21,1),(26,1),(46,1),(47,1),(49,1),(66,1),(69,1),(72,1),(93,1),(94,1)}
        34:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(42,1),(47,1),(48,1)}
        35:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(43,1),(47,1),(48,1),(65,1)}
        36:{1,2,5,6,7}:{(24,1),(45,1),(49,1),(93,1)}
        37:{3,5,6,7}:{(25,1),(50,1),(72,1)}
        38:{2,4,6,7}:{(26,1),(50,1),(51,1)}
        39:{2,3,5,7}:{(27,1),(47,1),(51,1),(52,1),(72,1)}
        40:{2,3,4,6}:{(28,1),(48,1),(52,1),(90,1)}
        41:{2,3,4,5,7}:{(31,1),(32,1),(53,1),(62,1),(83,1),(96,1)}
        42:{1,3,4,6,7}:{(29,1),(34,1),(54,1),(55,1),(58,1),(79,1)}
        43:{1,3,5,7}:{(29,1),(30,1),(35,1),(55,1)}
        44:{1,2,4,5,6}:{(31,1),(53,1),(56,1),(80,1),(86,1),(101,1)}
        45:{1,2,4,6,7}:{(32,1),(36,1),(53,1),(57,1),(61,1)}
        46:{1,2,4,6,7}:{(33,1),(38,1),(58,1),(59,1),(61,1),(79,1),(98,1)}
        47:{1,2,5,7}:{(34,1),(39,1),(54,1),(60,1)}
        48:{1,2,4,6}:{(35,1),(40,1),(55,1),(60,1),(79,1)}
        49:{1,3,5,6,7}:{(36,1),(37,1),(57,1),(61,1),(84,1)}
        50:{3,4,6,7}:{(37,1),(38,1),(61,1),(62,1)}
        51:{2,4,5,7}:{(38,1),(39,1),(62,1),(63,1)}
        52:{2,3,5,6}:{(39,1),(40,1),(60,1),(63,1),(85,1)}
        53:{1,2,4,5,7}:{(41,1),(44,1),(45,1),(64,1),(74,1),(87,1),(93,1)}
        54:{1,3,5,7}:{(42,1),(47,1),(65,1),(66,1),(72,1)}
        55:{1,3,6}:{(43,1),(48,1)}
        56:{1,3,5,6}:{(44,1),(64,1),(68,1)}
        57:{1,3,6,7}:{(45,1),(64,1)}
        58:{3,4,6,7}:{(46,1),(72,1),(90,1)}
        59:{1,2,4,5,7}:{(46,1),(47,1),(51,1),(65,1),(72,1),(73,1),(74,1),(88,1),(93,1)}
        60:{1,2,5,6}:{(47,1),(48,1),(52,1),(66,1)}
        61:{1,4,6,7}:{(49,1),(50,1),(74,1)}
        62:{3,4,5,7}:{(50,1),(51,1),(72,1),(74,1),(75,1)}
        63:{2,4,5,6}:{(51,1),(52,1),(75,1)}
        64:{1,3,5,7}:{(53,1),(56,1),(57,1),(77,1)}
        65:{1,4,5,7}:{(54,1),(78,1),(79,1)}
        66:{1,3,5,6}:{(54,1),(55,1),(60,1),(79,1),(85,1)}
        67:{1,2,3,5,6}:{(56,1),(76,1),(80,1),(100,1),(101,1),(104,1)}
        68:{1,3,4,6}:{(56,1),(77,1),(80,1),(81,1)}
        69:{1,2,3,6,7}:{(57,1),(76,1),(82,1),(104,1)}
        70:{2,3,4,6,7}:{(58,1),(82,1),(83,1),(96,1),(98,1),(104,1)}
        71:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(77,1),(82,1),(84,1),(99,1)}
        72:{3,5,7}:{(58,1),(59,1),(85,1)}
        73:{1,2,4,5,6}:{(59,1),(60,1),(63,1),(79,1),(85,1),(86,1),(98,1),(101,1)}
        74:{1,4,5,7}:{(61,1),(62,1),(84,1),(86,1)}
        75:{3,4,5,6}:{(62,1),(63,1),(85,1),(86,1)}
        76:{1,2,3,5,7}:{(64,1),(67,1),(69,1),(87,1),(93,1),(102,1)}
        77:{1,3,4,7}:{(64,1),(68,1),(87,1)}
        78:{3,4,5,7}:{(65,1),(72,1),(88,1),(90,1)}
        79:{1,4,6}:{(65,1),(66,1),(90,1)}
        80:{1,2,4,6}:{(67,1),(68,1),(87,1),(91,1),(92,1)}
        81:{1,3,4,5}:{(68,1),(92,1)}
        82:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(87,1),(93,1),(103,1)}
        83:{2,3,5,7}:{(70,1),(72,1),(88,1),(93,1),(94,1)}
        84:{1,3,5,7}:{(71,1),(72,1),(74,1),(93,1),(95,1)}
        85:{3,5,6}:{(72,1),(73,1),(90,1)}
        86:{1,4,5,6}:{(74,1),(75,1),(95,1)}
        87:{1,2,4,7}:{(76,1),(77,1),(80,1),(96,1)}
        88:{2,4,5,7}:{(78,1),(83,1),(98,1)}
        89:{1,3,4,5,7}:{(77,1),(78,1),(81,1),(84,1),(97,1),(99,1)}
        90:{3,4,6}:{(78,1),(79,1),(85,1),(98,1)}
        91:{2,3,4,6}:{(80,1),(96,1),(100,1),(104,1)}
        92:{1,2,4,5}:{(80,1),(81,1),(100,1)}
        93:{1,2,5,7}:{(82,1),(83,1),(84,1),(101,1)}
        94:{2,3,5,6}:{(83,1),(85,1),(98,1),(101,1),(104,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(86,1),(99,1),(101,1)}
        96:{2,3,4,7}:{(87,1),(91,1),(102,1)}
        97:{1,2,4,5,7}:{(87,1),(88,1),(89,1),(92,1),(93,1),(102,1),(103,1)}
        98:{2,4,6}:{(88,1),(90,1),(94,1)}
        99:{1,3,4,6}:{(89,1),(90,1),(95,1),(103,1)}
       100:{2,3,5}:{(91,1),(92,1)}
       101:{1,2,5,6}:{(93,1),(94,1),(95,1),(103,1)}
       102:{2,3,5,7}:{(96,1),(97,1),(100,1),(104,1)}
       103:{1,2,4,6}:{(97,1),(98,1),(99,1),(101,1),(104,1)}
       104:{2,3,6}:{(102,1),(103,1)}

1971 :   0:{1,3,4,5,6}:{(2,1),(3,1),(31,1),(62,1),(72,1)}
         1:{1,2,3,4,6}:{(4,1),(5,1),(20,1),(23,1)}
         2:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(20,1),(50,1),(56,1)}
         3:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(46,1),(77,1),(87,1)}
         4:{1,2,3,5}:{(1,1),(10,1)}
         5:{1,2,3,4,7}:{(1,1),(12,1),(34,1)}
         6:{2,3,4,5}:{(10,1),(14,1)}
         7:{2,3,5,6}:{(2,1),(14,1),(16,1)}
         8:{1,2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(34,1),(64,1),(71,1)}
         9:{1,3,4,6,7}:{(3,1),(17,1),(18,1),(73,1)}
        10:{1,2,4,5}:{(4,1),(6,1),(19,1),(20,1)}
        11:{1,2,3,5,6}:{(4,1),(7,1),(20,1),(22,1),(23,1),(45,1),(50,1)}
        12:{1,2,3,5,7}:{(4,1),(5,1),(21,1),(23,1)}
        13:{1,2,3,4,6,7}:{(5,1),(23,1),(24,1),(49,1),(52,1),(82,1),(117,1),(118,1),(119,1)}
        14:{2,3,4,6}:{(6,1),(7,1),(20,1),(26,1)}
        15:{2,3,4,5,7}:{(6,1),(21,1),(26,1),(27,1),(53,1),(55,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(26,1),(28,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(28,1),(29,1),(57,1)}
        18:{1,3,5,6,7}:{(9,1),(29,1),(30,1),(58,1),(77,1)}
        19:{1,3,4,5}:{(10,1),(31,1)}
        20:{1,2,4,6}:{(10,1),(11,1),(14,1),(31,1),(34,1)}
        21:{1,2,4,5,7}:{(10,1),(12,1),(15,1),(32,1),(34,1),(35,1),(64,1)}
        22:{1,2,3,5,7}:{(11,1),(16,1),(34,1),(36,1),(60,1),(64,1)}
        23:{1,2,3,6}:{(12,1),(35,1)}
        24:{1,2,3,5,7}:{(13,1),(37,1),(38,1),(64,1),(97,1),(130,1)}
        25:{2,3,4,5,6}:{(14,1),(33,1),(39,1),(41,1),(95,1)}
        26:{2,3,4,7}:{(14,1),(16,1),(34,1)}
        27:{2,3,4,6}:{(15,1),(35,1),(41,1),(67,1)}
        28:{2,3,6,7}:{(16,1),(17,1)}
        29:{1,2,5,6,7}:{(17,1),(18,1),(42,1),(64,1)}
        30:{1,4,5,6,7}:{(18,1),(44,1),(94,1)}
        31:{1,3,4,6}:{(19,1),(20,1),(45,1),(46,1)}
        32:{1,3,4,5,7}:{(19,1),(21,1),(46,1),(47,1),(53,1),(77,1)}
        33:{1,2,4,5,6}:{(20,1),(25,1),(45,1),(48,1),(50,1),(78,1)}
        34:{1,2,4,7}:{(20,1),(22,1),(26,1),(46,1)}
        35:{1,2,4,6}:{(21,1),(23,1),(27,1),(47,1),(50,1)}
        36:{1,2,3,6,7}:{(22,1),(23,1),(28,1),(49,1),(76,1)}
        37:{1,2,3,5,6}:{(23,1),(24,1),(50,1),(52,1),(81,1),(116,1),(118,1)}
        38:{1,2,4,5,7}:{(24,1),(52,1),(53,1)}
        39:{2,3,4,5,7}:{(25,1),(26,1),(48,1),(54,1),(55,1),(110,1)}
        40:{2,3,4,6,7}:{(26,1),(27,1),(28,1),(49,1),(55,1),(57,1),(82,1)}
        41:{2,3,5,6}:{(27,1),(50,1),(55,1),(56,1),(81,1)}
        42:{2,3,5,6,7}:{(28,1),(29,1),(55,1),(57,1),(58,1)}
        43:{1,2,4,5,6,7}:{(29,1),(30,1),(57,1),(58,1),(59,1),(80,1),(90,1),(92,1)}
        44:{3,4,5,6,7}:{(30,1),(58,1),(59,1),(110,1)}
        45:{1,3,5,6}:{(31,1),(33,1),(60,1)}
        46:{1,3,4,7}:{(31,1),(34,1),(60,1)}
        47:{1,3,4,6}:{(32,1),(35,1),(62,1),(67,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(39,1),(60,1),(63,1),(64,1),(94,1)}
        49:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(40,1),(61,1),(64,1)}
        50:{1,2,5,6}:{(35,1),(41,1),(62,1),(64,1)}
        51:{1,2,3,5,6,7}:{(36,1),(37,1),(42,1),(64,1),(66,1),(74,1),(93,1),(97,1),(129,1),(130,1),(132,1)}
        52:{1,2,4,6}:{(37,1),(38,1),(67,1)}
        53:{3,4,5,7}:{(38,1),(67,1),(97,1)}
        54:{2,3,4,6,7}:{(39,1),(63,1),(70,1),(124,1)}
        55:{2,3,5,7}:{(40,1),(41,1),(64,1),(71,1),(97,1)}
        56:{2,4,5,6}:{(41,1),(71,1),(72,1)}
        57:{2,4,6,7}:{(42,1),(71,1),(73,1)}
        58:{3,5,6,7}:{(43,1),(73,1),(97,1)}
        59:{2,4,5,6,7}:{(44,1),(75,1),(126,1)}
        60:{1,3,5,7}:{(45,1),(46,1),(48,1),(76,1)}
        61:{1,3,4,6,7}:{(46,1),(47,1),(49,1),(76,1),(77,1),(82,1),(109,1)}
        62:{1,3,5,6}:{(47,1),(50,1),(77,1),(78,1),(81,1)}
        63:{1,2,4,6,7}:{(48,1),(54,1),(76,1),(79,1),(109,1)}
        64:{1,2,5,7}:{(49,1),(50,1),(55,1),(77,1)}
        65:{1,2,4,5,6}:{(50,1),(52,1),(56,1),(78,1),(80,1),(81,1),(88,1),(112,1),(116,1)}
        66:{1,2,4,6,7}:{(51,1),(52,1),(57,1),(80,1),(82,1),(90,1),(109,1),(137,1)}
        67:{3,4,6}:{(52,1),(53,1),(81,1)}
        68:{1,3,4,5,7}:{(53,1),(83,1),(85,1),(114,1),(144,1),(145,1)}
        69:{2,3,4,5,7}:{(53,1),(84,1),(85,1),(115,1),(152,1),(153,1)}
        70:{2,3,5,6,7}:{(54,1),(55,1),(79,1),(86,1),(113,1)}
        71:{2,4,5,7}:{(55,1),(56,1),(57,1),(87,1)}
        72:{3,4,5,6}:{(56,1),(81,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(57,1),(58,1),(87,1),(90,1)}
        74:{1,3,5,6,7}:{(58,1),(90,1),(92,1),(114,1),(123,1)}
        75:{2,3,5,6,7}:{(58,1),(59,1),(91,1),(92,1),(115,1)}
        76:{1,3,6,7}:{(60,1),(63,1)}
        77:{1,3,5,7}:{(61,1),(62,1),(64,1),(94,1),(97,1)}
        78:{1,4,5,6}:{(62,1),(94,1),(95,1)}
        79:{1,2,5,6,7}:{(63,1),(64,1),(70,1),(93,1)}
        80:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(71,1),(94,1),(97,1),(105,1),(126,1),(130,1)}
        81:{3,5,6}:{(65,1),(67,1),(97,1)}
        82:{3,4,6,7}:{(66,1),(67,1),(97,1)}
        83:{1,3,4,6}:{(67,1),(68,1),(98,1),(102,1)}
        84:{2,3,4,6}:{(67,1),(69,1),(99,1),(102,1)}
        85:{1,2,4,5,7}:{(68,1),(69,1),(102,1),(103,1),(130,1),(149,1),(150,1)}
        86:{2,4,5,6,7}:{(70,1),(71,1),(104,1)}
        87:{3,4,5,7}:{(71,1),(72,1),(73,1),(97,1),(105,1)}
        88:{1,4,5,6}:{(72,1),(98,1),(105,1)}
        89:{2,3,4,5,6}:{(72,1),(99,1),(106,1),(107,1),(148,1)}
        90:{1,4,6,7}:{(73,1),(74,1),(105,1)}
        91:{2,3,4,6,7}:{(73,1),(75,1),(106,1),(108,1)}
        92:{1,2,5,6,7}:{(74,1),(75,1),(108,1),(130,1)}
        93:{1,3,5,6,7}:{(76,1),(77,1),(79,1),(109,1),(113,1)}
        94:{1,4,5,7}:{(77,1),(78,1),(109,1),(110,1)}
        95:{3,4,5,6}:{(78,1),(81,1),(110,1),(112,1)}
        96:{1,2,4,5,6,7}:{(79,1),(80,1),(86,1),(109,1),(113,1),(120,1),(137,1),(140,1)}
        97:{3,5,7}:{(80,1),(81,1),(82,1)}
        98:{1,3,5,6}:{(81,1),(83,1),(88,1),(114,1),(116,1)}
        99:{2,3,5,6}:{(81,1),(84,1),(112,1),(115,1),(116,1)}
       100:{1,3,4,6,7}:{(82,1),(83,1),(90,1),(114,1),(117,1),(123,1),(144,1)}
       101:{2,3,4,6,7}:{(82,1),(84,1),(115,1),(117,1),(137,1),(151,1),(152,1)}
       102:{1,2,4,6}:{(83,1),(84,1),(85,1),(116,1),(118,1)}
       103:{1,2,3,5,7}:{(85,1),(118,1),(119,1),(143,1)}
       104:{3,4,5,6,7}:{(86,1),(87,1),(113,1),(120,1)}
       105:{1,4,5,7}:{(87,1),(88,1),(90,1),(114,1)}
       106:{2,3,4,5,7}:{(87,1),(89,1),(91,1),(115,1),(121,1),(152,1)}
       107:{1,2,4,5,6}:{(88,1),(89,1),(116,1),(121,1),(122,1),(142,1)}
       108:{1,2,4,6,7}:{(90,1),(91,1),(92,1),(121,1),(123,1)}
       109:{1,4,6,7}:{(93,1),(94,1),(124,1)}
       110:{3,4,5,7}:{(94,1),(95,1),(97,1),(124,1),(126,1)}
       111:{1,3,4,5,6}:{(95,1),(98,1),(125,1),(127,1),(135,1)}
       112:{2,4,5,6}:{(95,1),(99,1),(126,1)}
       113:{3,5,6,7}:{(96,1),(97,1),(124,1)}
       114:{1,3,5,7}:{(97,1),(98,1),(100,1),(105,1),(130,1)}
       115:{2,3,5,7}:{(97,1),(99,1),(101,1),(126,1),(130,1)}
       116:{1,2,5,6}:{(98,1),(99,1),(102,1),(130,1)}
       117:{1,2,4,6,7}:{(100,1),(101,1),(102,1),(130,1),(132,1),(149,1)}
       118:{1,2,3,6}:{(102,1),(103,1)}
       119:{1,2,3,4,7}:{(103,1),(133,1),(149,1)}
       120:{1,4,5,6,7}:{(104,1),(105,1),(128,1)}
       121:{1,2,4,5,7}:{(105,1),(106,1),(107,1),(108,1),(130,1),(134,1),(149,1)}
       122:{1,3,5,6}:{(107,1),(134,1),(135,1)}
       123:{1,3,6,7}:{(108,1),(134,1)}
       124:{3,4,6,7}:{(109,1),(110,1),(113,1),(137,1)}
       125:{1,3,4,5,7}:{(110,1),(111,1),(114,1),(136,1),(138,1),(144,1)}
       126:{2,4,5,7}:{(110,1),(112,1),(115,1),(137,1)}
       127:{1,2,4,5,6}:{(111,1),(112,1),(116,1),(138,1),(139,1),(142,1)}
       128:{1,3,5,6,7}:{(113,1),(114,1),(120,1),(136,1),(140,1)}
       129:{2,3,5,6,7}:{(113,1),(115,1),(137,1),(140,1),(151,1)}
       130:{1,2,5,7}:{(114,1),(115,1),(116,1),(117,1)}
       131:{1,2,3,5,6}:{(116,1),(118,1),(122,1),(139,1),(141,1),(142,1),(143,1)}
       132:{1,2,3,6,7}:{(117,1),(118,1),(123,1),(141,1),(151,1)}
       133:{1,2,3,4,6}:{(118,1),(119,1),(142,1),(143,1)}
       134:{1,3,5,7}:{(121,1),(122,1),(123,1),(144,1)}
       135:{1,3,4,6}:{(122,1),(142,1),(144,1),(145,1)}
       136:{1,3,4,6,7}:{(124,1),(125,1),(128,1),(146,1)}
       137:{2,4,6,7}:{(124,1),(126,1),(129,1)}
       138:{1,2,4,5,7}:{(125,1),(126,1),(127,1),(130,1),(146,1),(147,1),(149,1)}
       139:{2,3,5,6}:{(127,1),(147,1),(148,1)}
       140:{1,2,5,6,7}:{(128,1),(129,1),(130,1),(146,1)}
       141:{1,2,3,5,7}:{(130,1),(131,1),(132,1),(134,1),(147,1),(149,1)}
       142:{1,2,4,6}:{(131,1),(135,1),(148,1),(149,1),(150,1)}
       143:{1,2,3,5}:{(133,1),(150,1)}
       144:{1,3,4,7}:{(134,1),(135,1),(149,1)}
       145:{1,3,4,5}:{(135,1),(150,1)}
       146:{1,2,4,6,7}:{(136,1),(137,1),(138,1),(140,1),(151,1)}
       147:{2,3,5,7}:{(138,1),(139,1),(151,1),(152,1)}
       148:{2,3,4,6}:{(139,1),(142,1),(152,1),(153,1)}
       149:{1,2,4,7}:{(141,1),(142,1),(144,1),(152,1)}
       150:{1,2,4,5}:{(142,1),(143,1),(145,1),(153,1)}
       151:{2,3,6,7}:{(146,1),(147,1)}
       152:{2,3,4,7}:{(147,1),(148,1),(149,1)}
       153:{2,3,4,5}:{(148,1),(150,1)}

1972 :   0:{1,2,4,5,6,7}:{(1,1),(6,1),(7,1),(8,1),(21,1),(53,1)}
         1:{3,5,6,7}:{(0,1),(2,1),(34,1),(69,1)}
         2:{3,4,6,7}:{(1,1),(5,1),(6,1),(7,1),(24,1),(48,1),(85,1)}
         3:{1,3,5,6,7}:{(1,1),(6,1),(8,1),(19,1),(24,1),(47,1),(88,1)}
         4:{2,3,5,6,7}:{(1,1),(7,1),(8,1),(20,1),(24,1),(46,1),(87,1)}
         5:{3,4,5,7}:{(2,1),(9,1),(10,1),(11,1),(34,1)}
         6:{1,4,6,7}:{(2,1),(3,1),(10,1),(64,1),(106,1)}
         7:{2,4,6,7}:{(2,1),(4,1),(11,1),(63,1),(105,1)}
         8:{1,2,5,6,7}:{(3,1),(4,1),(14,1),(32,1),(33,1),(108,1)}
         9:{3,4,5,6}:{(5,1),(17,1),(18,1),(45,1),(85,1),(158,1)}
        10:{1,4,5,7}:{(5,1),(6,1),(17,1),(19,1)}
        11:{2,4,5,7}:{(5,1),(7,1),(18,1),(20,1)}
        12:{1,3,4,6,7}:{(6,1),(19,1),(22,1),(24,1),(41,1),(48,1)}
        13:{2,3,4,6,7}:{(7,1),(20,1),(23,1),(24,1),(26,1),(48,1)}
        14:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(21,1),(24,1),(128,1)}
        15:{1,2,3,5,6,7}:{(8,1),(24,1),(25,1),(46,1),(47,1),(49,1),(52,1),(78,1),(86,1),(87,1),(88,1),(131,1),(161,1),(163,1),(172,1)}
        16:{2,3,4,5,7}:{(20,1),(26,1),(27,1),(48,1),(81,1),(83,1),(92,1),(127,1),(132,1)}
        17:{1,4,5,6}:{(9,1),(10,1),(29,1),(106,1),(164,1)}
        18:{2,4,5,6}:{(9,1),(11,1),(30,1),(105,1),(149,1)}
        19:{1,3,5,7}:{(10,1),(12,1),(29,1),(32,1),(34,1)}
        20:{2,3,5,7}:{(11,1),(13,1),(30,1),(33,1),(34,1)}
        21:{1,2,4,5,7}:{(10,1),(11,1),(14,1),(31,1),(32,1),(33,1),(34,1),(63,1),(64,1)}
        22:{1,2,4,6,7}:{(12,1),(32,1),(35,1),(57,1),(63,1)}
        23:{1,2,4,6,7}:{(13,1),(33,1),(36,1),(39,1),(64,1)}
        24:{3,6,7}:{(14,1),(34,1),(147,1)}
        25:{1,2,4,6,7}:{(15,1),(37,1),(38,1),(63,1),(64,1),(99,1),(105,1),(106,1),(170,1),(174,1)}
        26:{2,3,4,6}:{(16,1),(30,1),(39,1),(61,1),(105,1),(147,1)}
        27:{1,2,4,5,7}:{(16,1),(33,1),(39,1),(40,1),(64,1),(73,1),(101,1),(112,1)}
        28:{1,3,4,5,7}:{(19,1),(41,1),(42,1),(48,1),(81,1),(84,1),(119,1),(127,1),(153,1)}
        29:{1,3,5,6}:{(17,1),(19,1),(41,1),(43,1),(45,1),(153,1)}
        30:{2,3,5,6}:{(18,1),(20,1),(26,1),(44,1),(45,1),(132,1)}
        31:{1,2,4,5,6}:{(17,1),(18,1),(21,1),(43,1),(44,1),(45,1),(79,1),(80,1),(123,1),(128,1)}
        32:{1,2,5,7}:{(19,1),(22,1),(43,1),(46,1)}
        33:{1,2,5,7}:{(20,1),(23,1),(44,1),(47,1)}
        34:{3,5,7}:{(21,1),(24,1),(45,1),(48,1)}
        35:{2,3,6,7}:{(22,1),(24,1),(46,1),(75,1)}
        36:{1,3,6,7}:{(23,1),(24,1),(47,1),(54,1)}
        37:{3,4,6,7}:{(24,1),(25,1),(48,1),(52,1),(85,1),(122,1),(161,1),(173,1)}
        38:{1,2,4,5,7}:{(25,1),(52,1),(53,1),(83,1),(84,1),(86,1),(123,1)}
        39:{1,2,4,6}:{(26,1),(27,1),(44,1),(54,1),(80,1)}
        40:{1,3,5,7}:{(27,1),(54,1),(56,1),(91,1),(127,1)}
        41:{1,3,4,6}:{(28,1),(29,1),(57,1),(61,1),(106,1),(147,1)}
        42:{1,2,4,5,7}:{(28,1),(32,1),(57,1),(58,1),(63,1),(97,1),(100,1),(138,1)}
        43:{1,2,5,6}:{(29,1),(32,1),(57,1),(59,1),(138,1)}
        44:{1,2,5,6}:{(30,1),(33,1),(39,1),(60,1),(112,1)}
        45:{3,5,6}:{(31,1),(34,1),(61,1),(143,1),(147,1)}
        46:{2,3,5,7}:{(32,1),(34,1),(35,1),(59,1),(63,1)}
        47:{1,3,5,7}:{(33,1),(34,1),(36,1),(60,1),(64,1)}
        48:{3,4,7}:{(34,1),(61,1),(63,1),(64,1)}
        49:{1,2,3,6,7}:{(35,1),(36,1),(62,1),(66,1),(71,1),(95,1),(147,1),(152,1),(167,1)}
        50:{2,3,4,6,7}:{(35,1),(37,1),(63,1),(66,1),(67,1),(96,1),(103,1),(105,1),(111,1),(147,1),(152,1),(170,1)}
        51:{1,3,4,6,7}:{(36,1),(37,1),(64,1),(66,1),(68,1),(72,1),(103,1),(106,1),(137,1),(147,1),(167,1),(174,1)}
        52:{3,5,7}:{(37,1),(38,1),(69,1),(143,1)}
        53:{1,2,4,5,6}:{(38,1),(69,1),(105,1),(106,1),(108,1)}
        54:{1,3,6}:{(39,1),(40,1),(147,1)}
        55:{1,2,3,5,7}:{(40,1),(71,1),(73,1),(112,1),(114,1)}
        56:{1,3,4,7}:{(40,1),(64,1),(72,1),(73,1),(103,1)}
        57:{1,2,4,6}:{(41,1),(42,1),(43,1),(75,1),(79,1)}
        58:{2,3,5,7}:{(42,1),(75,1),(77,1),(118,1),(127,1)}
        59:{2,3,5,6}:{(43,1),(45,1),(46,1),(75,1),(79,1),(118,1)}
        60:{1,3,5,6}:{(44,1),(45,1),(47,1),(54,1),(80,1),(91,1)}
        61:{3,4,6}:{(45,1),(48,1),(79,1),(80,1),(81,1)}
        62:{1,2,3,5,7}:{(46,1),(47,1),(49,1),(78,1),(82,1),(86,1),(127,1),(163,1),(172,1)}
        63:{2,4,7}:{(46,1),(48,1),(79,1)}
        64:{1,4,7}:{(47,1),(48,1),(80,1)}
        65:{3,4,5,7}:{(48,1),(52,1),(81,1),(83,1),(84,1),(85,1),(127,1),(158,1),(173,1)}
        66:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(82,1),(86,1),(90,1),(117,1),(128,1)}
        67:{2,3,5,7}:{(50,1),(52,1),(83,1),(86,1),(87,1),(118,1),(127,1),(132,1)}
        68:{1,3,5,7}:{(51,1),(52,1),(84,1),(86,1),(88,1),(91,1),(127,1),(153,1)}
        69:{3,5,6}:{(52,1),(53,1),(85,1)}
        70:{1,2,4,5,6,7}:{(53,1),(89,1),(129,1),(130,1),(131,1),(160,1)}
        71:{1,2,3,6}:{(54,1),(55,1),(90,1),(135,1)}
        72:{1,3,4,6}:{(54,1),(56,1),(80,1),(90,1),(91,1),(122,1)}
        73:{1,2,4,7}:{(55,1),(56,1),(90,1),(92,1)}
        74:{1,3,4,5,7}:{(56,1),(84,1),(91,1),(93,1),(94,1),(127,1),(134,1),(158,1),(173,1)}
        75:{2,3,6}:{(57,1),(58,1),(147,1)}
        76:{1,2,3,5,7}:{(58,1),(95,1),(97,1),(138,1),(140,1)}
        77:{2,3,4,7}:{(58,1),(63,1),(96,1),(97,1),(103,1)}
        78:{1,2,3,5,6}:{(59,1),(60,1),(62,1),(71,1),(95,1),(99,1),(108,1),(112,1),(138,1),(143,1),(147,1),(150,1),(165,1)}
        79:{2,4,6}:{(59,1),(61,1),(63,1),(100,1)}
        80:{1,4,6}:{(60,1),(61,1),(64,1),(101,1)}
        81:{3,4,5}:{(61,1),(100,1),(101,1),(143,1)}
        82:{1,2,4,7}:{(62,1),(63,1),(64,1),(99,1),(103,1),(170,1),(174,1)}
        83:{2,4,5,7}:{(63,1),(65,1),(67,1),(100,1),(105,1),(149,1),(170,1)}
        84:{1,4,5,7}:{(64,1),(65,1),(68,1),(101,1),(106,1),(164,1),(174,1)}
        85:{3,4,6}:{(65,1),(69,1),(105,1),(106,1),(147,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(108,1),(112,1),(138,1)}
        87:{2,3,5,6}:{(67,1),(69,1),(105,1),(108,1),(147,1)}
        88:{1,3,5,6}:{(68,1),(69,1),(106,1),(108,1),(147,1)}
        89:{3,5,6,7}:{(69,1),(70,1),(107,1),(169,1)}
        90:{1,2,4,6}:{(71,1),(72,1),(73,1),(111,1),(112,1)}
        91:{1,3,5}:{(72,1),(101,1),(112,1),(143,1)}
        92:{2,3,4,7}:{(73,1),(103,1),(111,1),(114,1),(170,1)}
        93:{1,2,4,5,7}:{(73,1),(74,1),(112,1),(114,1),(115,1),(149,1),(151,1),(170,1)}
        94:{1,3,4,6}:{(74,1),(106,1),(113,1),(115,1),(147,1),(168,1)}
        95:{1,2,3,6}:{(75,1),(76,1),(117,1),(156,1)}
        96:{2,3,4,6}:{(75,1),(77,1),(79,1),(117,1),(118,1),(122,1)}
        97:{1,2,4,7}:{(76,1),(77,1),(117,1),(119,1)}
        98:{2,3,4,5,7}:{(77,1),(83,1),(118,1),(120,1),(121,1),(127,1),(155,1),(158,1),(173,1)}
        99:{1,2,4,6}:{(78,1),(79,1),(80,1),(82,1),(122,1),(123,1),(162,1),(171,1)}
       100:{2,4,5}:{(79,1),(81,1),(118,1)}
       101:{1,4,5}:{(80,1),(81,1),(91,1)}
       102:{3,4,5,6}:{(81,1),(85,1),(124,1),(125,1),(126,1),(159,1)}
       103:{3,4,7}:{(82,1),(122,1),(127,1)}
       104:{1,2,4,5,7}:{(82,1),(83,1),(84,1),(86,1),(123,1),(127,1),(128,1)}
       105:{2,4,6}:{(83,1),(85,1),(87,1)}
       106:{1,4,6}:{(84,1),(85,1),(88,1)}
       107:{3,4,6,7}:{(85,1),(89,1),(126,1),(129,1),(130,1),(161,1),(173,1)}
       108:{1,2,5,6}:{(86,1),(87,1),(88,1),(128,1)}
       109:{2,3,5,6,7}:{(87,1),(89,1),(129,1),(131,1),(155,1),(161,1),(163,1)}
       110:{1,3,5,6,7}:{(88,1),(89,1),(130,1),(131,1),(134,1),(161,1),(172,1)}
       111:{2,3,4,6}:{(90,1),(92,1),(122,1),(132,1),(135,1),(162,1)}
       112:{1,2,5}:{(90,1),(91,1),(132,1)}
       113:{1,3,5,6}:{(91,1),(94,1),(125,1),(133,1),(134,1),(159,1)}
       114:{2,3,5,7}:{(92,1),(93,1),(127,1),(132,1),(135,1)}
       115:{1,2,4,6}:{(93,1),(94,1),(133,1),(135,1),(162,1)}
       116:{1,3,4,6,7}:{(94,1),(130,1),(134,1),(136,1),(161,1),(173,1)}
       117:{1,2,4,6}:{(95,1),(96,1),(97,1),(137,1),(138,1)}
       118:{2,3,5}:{(96,1),(100,1),(138,1),(143,1)}
       119:{1,3,4,7}:{(97,1),(103,1),(137,1),(140,1),(174,1)}
       120:{1,2,4,5,7}:{(97,1),(98,1),(138,1),(140,1),(141,1),(164,1),(166,1),(174,1)}
       121:{2,3,4,6}:{(98,1),(105,1),(139,1),(141,1),(147,1),(168,1)}
       122:{3,4,6}:{(99,1),(103,1),(143,1),(147,1)}
       123:{1,2,4,5}:{(99,1),(100,1),(101,1),(112,1),(138,1),(143,1),(149,1),(164,1)}
       124:{2,4,5,6}:{(100,1),(102,1),(105,1),(139,1),(145,1)}
       125:{1,4,5,6}:{(101,1),(102,1),(106,1),(113,1),(146,1)}
       126:{3,4,5,7}:{(102,1),(107,1),(145,1),(146,1),(169,1)}
       127:{3,5,7}:{(103,1),(104,1),(143,1),(147,1)}
       128:{1,2,4,6}:{(104,1),(105,1),(106,1),(108,1),(147,1)}
       129:{2,4,6,7}:{(105,1),(107,1),(109,1),(145,1),(170,1)}
       130:{1,4,6,7}:{(106,1),(107,1),(110,1),(146,1),(174,1)}
       131:{1,2,5,6,7}:{(108,1),(109,1),(110,1),(148,1),(151,1),(166,1)}
       132:{2,3,5}:{(111,1),(112,1),(143,1),(149,1)}
       133:{1,2,5,6}:{(112,1),(113,1),(115,1),(150,1),(151,1)}
       134:{1,3,5,7}:{(113,1),(116,1),(146,1),(151,1),(169,1)}
       135:{2,3,6}:{(114,1),(115,1),(147,1)}
       136:{1,2,4,6,7}:{(115,1),(116,1),(151,1),(152,1),(170,1)}
       137:{1,3,4,6}:{(117,1),(119,1),(122,1),(153,1),(156,1),(171,1)}
       138:{1,2,5}:{(117,1),(118,1),(153,1)}
       139:{2,3,5,6}:{(118,1),(121,1),(124,1),(154,1),(155,1),(159,1)}
       140:{1,3,5,7}:{(119,1),(120,1),(127,1),(153,1),(156,1)}
       141:{1,2,4,6}:{(120,1),(121,1),(154,1),(156,1),(171,1)}
       142:{2,3,4,6,7}:{(121,1),(129,1),(155,1),(157,1),(161,1),(173,1)}
       143:{3,5}:{(122,1),(123,1)}
       144:{1,2,4,5,6}:{(123,1),(124,1),(125,1),(128,1),(133,1),(154,1),(159,1),(160,1),(162,1),(171,1)}
       145:{2,4,5,7}:{(124,1),(126,1),(129,1),(155,1)}
       146:{1,4,5,7}:{(125,1),(126,1),(130,1),(134,1)}
       147:{3,6}:{(127,1),(128,1)}
       148:{1,2,4,6,7}:{(128,1),(129,1),(130,1),(131,1),(160,1),(161,1)}
       149:{2,4,5}:{(132,1),(158,1),(162,1)}
       150:{2,3,5,6}:{(132,1),(133,1),(135,1),(159,1),(162,1),(163,1)}
       151:{1,2,5,7}:{(133,1),(134,1),(136,1),(163,1)}
       152:{2,3,6,7}:{(135,1),(136,1),(161,1),(163,1)}
       153:{1,3,5}:{(137,1),(138,1),(143,1),(164,1)}
       154:{1,2,5,6}:{(138,1),(139,1),(141,1),(165,1),(166,1)}
       155:{2,3,5,7}:{(139,1),(142,1),(145,1),(166,1),(169,1)}
       156:{1,3,6}:{(140,1),(141,1),(147,1)}
       157:{1,2,4,6,7}:{(141,1),(142,1),(166,1),(167,1),(174,1)}
       158:{3,4,5}:{(143,1),(149,1),(164,1),(168,1)}
       159:{3,5,6}:{(143,1),(144,1),(147,1),(168,1),(169,1)}
       160:{1,2,4,5,7}:{(144,1),(145,1),(146,1),(148,1),(151,1),(166,1),(169,1),(170,1),(174,1)}
       161:{3,6,7}:{(147,1),(148,1),(169,1)}
       162:{2,4,6}:{(149,1),(150,1),(168,1),(170,1)}
       163:{2,3,5,7}:{(150,1),(151,1),(152,1),(169,1),(170,1)}
       164:{1,4,5}:{(153,1),(158,1),(171,1)}
       165:{1,3,5,6}:{(153,1),(154,1),(156,1),(159,1),(171,1),(172,1)}
       166:{1,2,5,7}:{(154,1),(155,1),(157,1),(172,1)}
       167:{1,3,6,7}:{(156,1),(157,1),(161,1),(172,1)}
       168:{3,4,6}:{(158,1),(159,1),(162,1),(171,1),(173,1)}
       169:{3,5,7}:{(159,1),(160,1),(161,1),(173,1)}
       170:{2,4,7}:{(162,1),(163,1),(173,1)}
       171:{1,4,6}:{(164,1),(165,1),(168,1),(174,1)}
       172:{1,3,5,7}:{(165,1),(166,1),(167,1),(169,1),(174,1)}
       173:{3,4,7}:{(168,1),(169,1),(170,1),(174,1)}
       174:{1,4,7}:{(171,1),(172,1),(173,1)}

1973 :   0:{3,4,5,6,7}:{(1,1),(2,1),(14,1),(92,1)}
         1:{1,4,5,6,7}:{(0,1),(4,1),(97,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(99,1)}
         3:{1,3,4,5,6}:{(7,1),(8,1),(49,1),(52,1),(98,1)}
         4:{1,3,5,6,7}:{(1,1),(10,1),(12,1),(14,1),(88,1)}
         5:{2,3,5,6,7}:{(2,1),(11,1),(13,1),(14,1),(90,1)}
         6:{1,2,4,5,6,7}:{(1,1),(2,1),(12,1),(13,1),(14,1),(32,1),(33,1),(63,1)}
         7:{1,3,4,5,7}:{(3,1),(10,1),(15,1),(34,1),(66,1),(88,1)}
         8:{1,2,4,5,6}:{(3,1),(15,1),(16,1),(37,1),(64,1),(89,1)}
         9:{2,3,4,5,6}:{(17,1),(18,1),(49,1),(72,1),(100,1)}
        10:{1,3,4,6,7}:{(4,1),(7,1),(19,1),(23,1)}
        11:{2,3,4,6,7}:{(5,1),(17,1),(20,1),(23,1)}
        12:{1,2,5,6,7}:{(4,1),(19,1),(21,1),(75,1)}
        13:{1,2,5,6,7}:{(5,1),(20,1),(22,1),(78,1)}
        14:{3,5,6,7}:{(6,1),(23,1),(80,1)}
        15:{1,2,4,5,7}:{(7,1),(8,1),(19,1),(24,1),(47,1),(50,1),(75,1)}
        16:{2,3,5,6}:{(8,1),(24,1),(26,1)}
        17:{2,3,4,5,7}:{(9,1),(11,1),(27,1),(34,1),(84,1),(90,1)}
        18:{1,2,4,5,6}:{(9,1),(27,1),(28,1),(56,1),(65,1),(91,1)}
        19:{1,2,4,6,7}:{(10,1),(12,1),(15,1),(29,1),(32,1)}
        20:{1,2,4,6,7}:{(11,1),(13,1),(27,1),(30,1),(33,1)}
        21:{2,3,5,6,7}:{(12,1),(14,1),(29,1),(32,1),(59,1)}
        22:{1,3,5,6,7}:{(13,1),(14,1),(30,1),(33,1),(61,1)}
        23:{3,4,6,7}:{(14,1),(32,1),(33,1),(34,1)}
        24:{2,3,5,7}:{(15,1),(16,1),(29,1),(36,1)}
        25:{1,2,3,5,6}:{(16,1),(35,1),(37,1),(69,1),(89,1),(94,1)}
        26:{2,3,4,6}:{(16,1),(36,1),(37,1),(38,1)}
        27:{1,2,4,5,7}:{(17,1),(18,1),(20,1),(39,1),(48,1),(70,1),(78,1)}
        28:{1,3,5,6}:{(18,1),(39,1),(41,1)}
        29:{2,3,6,7}:{(19,1),(24,1)}
        30:{1,3,6,7}:{(20,1),(39,1)}
        31:{1,2,3,5,6,7}:{(21,1),(22,1),(42,1),(44,1),(46,1),(75,1),(78,1),(80,1),(98,1),(100,1)}
        32:{2,4,6,7}:{(21,1),(23,1),(47,1)}
        33:{1,4,6,7}:{(22,1),(23,1),(48,1)}
        34:{3,4,5,7}:{(23,1),(47,1),(48,1),(49,1),(80,1)}
        35:{1,2,3,5,7}:{(24,1),(25,1),(42,1),(50,1),(75,1),(82,1)}
        36:{2,3,4,7}:{(24,1),(26,1),(50,1)}
        37:{1,2,4,6}:{(25,1),(26,1),(50,1),(52,1),(53,1)}
        38:{2,3,4,5}:{(26,1),(53,1)}
        39:{1,3,5,7}:{(27,1),(28,1),(30,1),(55,1)}
        40:{1,2,3,5,6}:{(28,1),(54,1),(56,1),(87,1),(91,1),(102,1)}
        41:{1,3,4,6}:{(28,1),(55,1),(56,1),(57,1)}
        42:{1,2,3,6,7}:{(29,1),(35,1),(58,1),(94,1)}
        43:{2,3,4,6,7}:{(29,1),(32,1),(36,1),(58,1),(59,1),(62,1),(68,1)}
        44:{1,2,3,6,7}:{(30,1),(54,1),(60,1),(102,1)}
        45:{1,3,4,6,7}:{(30,1),(33,1),(55,1),(60,1),(61,1),(62,1),(86,1)}
        46:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(62,1),(63,1),(103,1),(104,1)}
        47:{2,4,5,7}:{(32,1),(34,1),(59,1),(64,1)}
        48:{1,4,5,7}:{(33,1),(34,1),(61,1),(65,1)}
        49:{3,4,5,6}:{(34,1),(64,1),(65,1),(93,1)}
        50:{1,2,4,7}:{(35,1),(36,1),(37,1),(66,1)}
        51:{2,3,4,5,7}:{(36,1),(38,1),(59,1),(67,1),(68,1),(92,1)}
        52:{1,3,4,6}:{(37,1),(66,1),(69,1),(94,1)}
        53:{1,2,4,5}:{(37,1),(38,1),(69,1)}
        54:{1,2,3,5,7}:{(39,1),(40,1),(44,1),(70,1),(78,1),(95,1)}
        55:{1,3,4,7}:{(39,1),(41,1),(70,1)}
        56:{1,2,4,6}:{(40,1),(41,1),(70,1),(72,1),(73,1)}
        57:{1,3,4,5}:{(41,1),(73,1)}
        58:{1,2,4,6,7}:{(42,1),(43,1),(50,1),(74,1),(75,1),(83,1)}
        59:{2,3,5,7}:{(43,1),(47,1),(75,1),(76,1),(80,1)}
        60:{1,2,4,6,7}:{(44,1),(45,1),(70,1),(77,1),(78,1),(96,1)}
        61:{1,3,5,7}:{(45,1),(48,1),(78,1),(79,1),(80,1)}
        62:{3,4,6,7}:{(46,1),(80,1),(101,1)}
        63:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(75,1),(78,1),(80,1),(81,1),(97,1),(99,1)}
        64:{2,4,5,6}:{(47,1),(49,1),(76,1)}
        65:{1,4,5,6}:{(48,1),(49,1),(79,1)}
        66:{1,3,4,7}:{(50,1),(52,1),(82,1)}
        67:{1,2,4,5,7}:{(50,1),(51,1),(53,1),(75,1),(82,1),(83,1),(97,1)}
        68:{2,3,4,6}:{(51,1),(76,1),(83,1),(101,1)}
        69:{1,3,5}:{(52,1),(53,1)}
        70:{1,2,4,7}:{(54,1),(55,1),(56,1),(84,1)}
        71:{1,3,4,5,7}:{(55,1),(57,1),(61,1),(85,1),(86,1),(92,1)}
        72:{2,3,4,6}:{(56,1),(84,1),(87,1),(102,1)}
        73:{1,2,4,5}:{(56,1),(57,1),(87,1)}
        74:{1,3,4,6,7}:{(58,1),(62,1),(66,1),(88,1),(94,1),(103,1)}
        75:{1,2,5,7}:{(58,1),(59,1),(88,1),(89,1)}
        76:{2,3,5,6}:{(59,1),(64,1),(68,1),(89,1),(93,1)}
        77:{2,3,4,6,7}:{(60,1),(62,1),(84,1),(90,1),(102,1),(104,1)}
        78:{1,2,5,7}:{(60,1),(61,1),(90,1),(91,1)}
        79:{1,3,5,6}:{(61,1),(65,1),(86,1),(91,1),(93,1)}
        80:{3,5,7}:{(62,1),(63,1),(93,1)}
        81:{1,2,4,5,6}:{(63,1),(64,1),(65,1),(89,1),(91,1),(93,1),(103,1),(104,1)}
        82:{1,3,5,7}:{(66,1),(67,1),(69,1),(94,1)}
        83:{1,2,4,6}:{(67,1),(68,1),(89,1),(94,1),(103,1)}
        84:{2,3,4,7}:{(70,1),(72,1),(95,1)}
        85:{1,2,4,5,7}:{(70,1),(71,1),(73,1),(78,1),(95,1),(96,1),(99,1)}
        86:{1,3,4,6}:{(71,1),(79,1),(96,1),(101,1)}
        87:{2,3,5}:{(72,1),(73,1)}
        88:{1,3,5,7}:{(74,1),(75,1),(80,1),(97,1),(98,1)}
        89:{1,2,5,6}:{(75,1),(76,1),(83,1),(98,1)}
        90:{2,3,5,7}:{(77,1),(78,1),(80,1),(99,1),(100,1)}
        91:{1,2,5,6}:{(78,1),(79,1),(96,1),(100,1)}
        92:{3,4,5,7}:{(80,1),(97,1),(99,1),(101,1)}
        93:{3,5,6}:{(80,1),(81,1),(101,1)}
        94:{1,3,6}:{(82,1),(83,1)}
        95:{2,3,5,7}:{(84,1),(85,1),(87,1),(102,1)}
        96:{1,2,4,6}:{(85,1),(86,1),(91,1),(102,1),(104,1)}
        97:{1,4,5,7}:{(88,1),(92,1),(103,1)}
        98:{1,3,5,6}:{(88,1),(89,1),(93,1),(94,1),(103,1)}
        99:{2,4,5,7}:{(90,1),(92,1),(104,1)}
       100:{2,3,5,6}:{(90,1),(91,1),(93,1),(102,1),(104,1)}
       101:{3,4,6}:{(92,1),(93,1),(103,1),(104,1)}
       102:{2,3,6}:{(95,1),(96,1)}
       103:{1,4,6}:{(97,1),(98,1),(101,1)}
       104:{2,4,6}:{(99,1),(100,1),(101,1)}

1974 :   0:{1,2,3,6,7}:{(3,1),(4,1),(48,1),(80,1),(83,1),(84,1),(85,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(42,1),(48,1),(52,1),(84,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(48,1),(54,1),(83,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(29,1),(61,1),(71,1),(72,1),(94,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(30,1),(69,1),(70,1),(90,1),(91,1),(93,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(11,1),(30,1),(60,1),(62,1)}
         6:{1,3,5,7}:{(2,1),(8,1),(12,1),(13,1),(30,1),(59,1),(64,1)}
         7:{1,2,3,5,6}:{(4,1),(14,1),(15,1),(40,1),(48,1),(77,1),(78,1),(79,1),(80,1),(85,1)}
         8:{1,2,5,7}:{(3,1),(5,1),(6,1),(15,1),(79,1),(81,1),(82,1)}
         9:{1,2,4,7}:{(4,1),(14,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(15,1),(19,1),(44,1),(48,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(75,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(15,1),(22,1),(46,1),(48,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(74,1),(95,1)}
        14:{1,2,4,6}:{(7,1),(9,1),(24,1),(25,1),(87,1),(88,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(12,1),(29,1),(63,1),(65,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(11,1),(13,1),(24,1),(29,1),(30,1),(35,1),(38,1),(69,1),(89,1),(101,1)}
        17:{3,4,7}:{(9,1),(25,1),(30,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(28,1),(33,1),(62,1),(66,1),(91,1)}
        19:{2,4,6}:{(10,1),(11,1),(34,1)}
        20:{3,4,5,7}:{(11,1),(30,1),(34,1),(35,1),(56,1),(62,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(28,1),(36,1),(64,1),(66,1),(90,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(30,1),(37,1),(38,1),(56,1),(64,1),(86,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(74,1),(75,1),(79,1)}
        25:{3,4,6}:{(14,1),(17,1),(40,1),(48,1)}
        26:{2,4,5,6}:{(19,1),(43,1),(44,1)}
        27:{1,4,5,6}:{(22,1),(45,1),(46,1)}
        28:{1,2,5,6,7}:{(15,1),(18,1),(21,1),(47,1),(81,1),(82,1),(99,1)}
        29:{1,2,4,6}:{(15,1),(16,1),(19,1),(22,1),(48,1),(53,1),(55,1),(85,1)}
        30:{3,5,7}:{(16,1),(17,1),(40,1),(48,1),(98,1),(104,1)}
        31:{1,3,4,7}:{(17,1),(41,1),(49,1),(51,1),(95,1),(104,1)}
        32:{2,3,4,7}:{(17,1),(42,1),(50,1),(51,1),(96,1),(104,1)}
        33:{2,4,6,7}:{(18,1),(19,1),(43,1),(52,1),(96,1)}
        34:{3,4,6}:{(19,1),(20,1),(44,1),(48,1),(53,1)}
        35:{1,4,5,7}:{(20,1),(49,1),(53,1),(74,1),(81,1),(95,1)}
        36:{1,4,6,7}:{(21,1),(22,1),(45,1),(54,1),(95,1)}
        37:{3,4,6}:{(22,1),(23,1),(46,1),(48,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(50,1),(55,1),(75,1),(82,1),(96,1)}
        39:{1,2,4,5,6}:{(24,1),(26,1),(27,1),(29,1),(57,1),(58,1),(63,1),(65,1),(87,1),(88,1),(92,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(31,1),(59,1),(61,1),(67,1),(87,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(32,1),(60,1),(61,1),(68,1),(88,1),(102,1),(103,1)}
        43:{2,4,5,7}:{(26,1),(33,1),(62,1)}
        44:{3,5,6}:{(26,1),(34,1),(62,1),(63,1)}
        45:{1,4,5,7}:{(27,1),(36,1),(64,1)}
        46:{3,5,6}:{(27,1),(37,1),(64,1),(65,1)}
        47:{1,2,4,6,7}:{(28,1),(29,1),(33,1),(36,1),(57,1),(66,1),(71,1),(72,1),(94,1),(101,1)}
        48:{3,6}:{(29,1),(30,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(35,1),(59,1),(67,1),(69,1)}
        50:{2,3,5,7}:{(30,1),(32,1),(38,1),(60,1),(68,1),(69,1)}
        51:{1,2,4,7}:{(31,1),(32,1),(61,1),(69,1),(70,1)}
        52:{3,4,6,7}:{(33,1),(34,1),(62,1),(66,1),(71,1),(86,1)}
        53:{1,4,6}:{(34,1),(35,1),(63,1),(67,1)}
        54:{3,4,6,7}:{(36,1),(37,1),(64,1),(66,1),(72,1),(86,1)}
        55:{2,4,6}:{(37,1),(38,1),(65,1),(68,1)}
        56:{3,4,5}:{(40,1),(73,1),(74,1),(75,1),(98,1)}
        57:{1,2,4,5,7}:{(39,1),(43,1),(45,1),(47,1),(76,1),(81,1),(82,1),(95,1),(96,1),(99,1)}
        58:{3,5,6}:{(39,1),(40,1),(48,1),(73,1),(76,1)}
        59:{1,3,5}:{(40,1),(41,1),(74,1),(79,1),(98,1)}
        60:{2,3,5}:{(40,1),(42,1),(75,1),(79,1),(98,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(51,1),(79,1),(80,1),(85,1),(100,1)}
        62:{3,5,7}:{(43,1),(44,1),(52,1),(81,1)}
        63:{1,5,6}:{(44,1),(53,1),(81,1)}
        64:{3,5,7}:{(45,1),(46,1),(54,1),(82,1)}
        65:{2,5,6}:{(46,1),(55,1),(82,1)}
        66:{3,6,7}:{(47,1),(48,1),(76,1),(104,1)}
        67:{1,3,6}:{(48,1),(49,1),(53,1),(85,1)}
        68:{2,3,6}:{(48,1),(50,1),(55,1),(85,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(85,1)}
        70:{1,2,3,7}:{(51,1),(80,1),(104,1)}
        71:{1,4,6,7}:{(52,1),(53,1),(81,1),(83,1),(95,1)}
        72:{2,4,6,7}:{(54,1),(55,1),(82,1),(84,1),(96,1)}
        73:{3,4,6}:{(56,1),(58,1),(86,1),(87,1),(88,1),(102,1)}
        74:{1,4,5}:{(56,1),(59,1),(87,1)}
        75:{2,4,5}:{(56,1),(60,1),(88,1)}
        76:{3,5,7}:{(57,1),(58,1),(66,1),(86,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(67,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(65,1),(68,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(70,1),(93,1),(102,1)}
        81:{1,5,7}:{(62,1),(63,1),(71,1)}
        82:{2,5,7}:{(64,1),(65,1),(72,1)}
        83:{1,3,6,7}:{(66,1),(67,1),(71,1),(90,1),(94,1)}
        84:{2,3,6,7}:{(66,1),(68,1),(72,1),(91,1),(94,1)}
        85:{1,2,6}:{(67,1),(68,1),(69,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        88:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(74,1),(75,1),(79,1),(97,1),(98,1),(100,1)}
        90:{1,3,5,7}:{(76,1),(77,1),(81,1),(83,1),(95,1),(99,1),(104,1)}
        91:{2,3,5,7}:{(76,1),(78,1),(82,1),(84,1),(96,1),(99,1),(104,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(85,1),(97,1),(99,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(98,1),(100,1)}
        94:{1,2,6,7}:{(83,1),(84,1),(85,1),(99,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,4,6}:{(87,1),(88,1),(89,1),(92,1),(101,1),(102,1)}
        98:{3,5}:{(89,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(90,1),(91,1),(92,1),(94,1),(101,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

1975 :   0:{2,3,4,6,7}:{(3,1),(4,1),(19,1),(21,1),(55,1),(57,1),(59,1),(92,1),(96,1),(117,1),(123,1)}
         1:{1,3,5,6,7}:{(6,1),(7,1),(25,1),(32,1),(34,1),(37,1),(72,1)}
         2:{2,3,5,6,7}:{(6,1),(8,1),(9,1),(33,1),(34,1),(62,1),(73,1)}
         3:{1,2,4,6,7}:{(0,1),(10,1),(11,1),(36,1),(38,1),(40,1),(74,1),(110,1),(128,1)}
         4:{2,3,5,7}:{(0,1),(9,1),(11,1),(12,1),(33,1),(41,1),(112,1),(127,1)}
         5:{1,3,4,6,7}:{(13,1),(14,1),(18,1),(44,1),(54,1),(83,1),(85,1),(91,1),(95,1),(116,1),(123,1)}
         6:{1,2,5,6,7}:{(1,1),(2,1),(17,1),(20,1),(43,1),(52,1),(53,1),(93,1)}
         7:{1,4,6,7}:{(1,1),(15,1),(18,1),(44,1),(56,1),(91,1)}
         8:{2,4,6,7}:{(2,1),(16,1),(19,1),(21,1),(82,1),(92,1)}
         9:{2,3,5,6}:{(4,1),(20,1),(21,1),(50,1),(57,1)}
        10:{1,3,6,7}:{(3,1),(22,1),(57,1),(123,1),(134,1)}
        11:{1,2,5,7}:{(3,1),(4,1),(20,1),(22,1),(53,1),(133,1)}
        12:{2,4,5,7}:{(4,1),(21,1),(24,1),(92,1),(121,1)}
        13:{1,2,4,6,7}:{(5,1),(26,1),(27,1),(35,1),(63,1),(65,1),(74,1),(110,1),(113,1)}
        14:{1,3,5,7}:{(5,1),(25,1),(27,1),(28,1),(32,1),(66,1),(111,1),(126,1)}
        15:{1,4,5,7}:{(7,1),(29,1),(32,1),(75,1)}
        16:{2,4,5,7}:{(8,1),(30,1),(33,1),(99,1)}
        17:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(31,1),(34,1),(35,1),(36,1),(38,1),(63,1),(74,1),(110,1)}
        18:{3,4,6,7}:{(7,1),(32,1),(34,1),(35,1),(64,1),(71,1),(76,1)}
        19:{3,4,6,7}:{(8,1),(33,1),(34,1),(36,1),(39,1),(71,1),(100,1)}
        20:{1,2,5,6}:{(9,1),(11,1),(37,1),(38,1),(70,1),(112,1)}
        21:{2,4,6}:{(9,1),(12,1),(39,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(37,1),(40,1),(41,1),(137,1)}
        23:{1,2,4,5,7}:{(11,1),(12,1),(38,1),(40,1),(41,1),(42,1),(75,1),(80,1),(81,1),(110,1),(112,1),(130,1)}
        24:{3,4,5,7}:{(12,1),(33,1),(39,1),(41,1),(42,1),(71,1),(106,1)}
        25:{1,3,5,6}:{(14,1),(43,1),(44,1),(49,1),(83,1)}
        26:{2,3,6,7}:{(13,1),(45,1),(83,1),(123,1),(125,1)}
        27:{1,2,5,7}:{(13,1),(14,1),(43,1),(45,1),(52,1),(124,1)}
        28:{1,4,5,7}:{(14,1),(44,1),(47,1),(91,1),(120,1)}
        29:{1,4,5,6}:{(15,1),(44,1),(49,1)}
        30:{2,4,5,6}:{(16,1),(21,1),(50,1)}
        31:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(48,1),(51,1),(52,1),(53,1),(91,1),(92,1),(93,1)}
        32:{3,5,7}:{(15,1),(18,1),(49,1),(52,1),(94,1)}
        33:{3,5,7}:{(16,1),(19,1),(50,1),(53,1),(115,1)}
        34:{3,6,7}:{(17,1),(51,1),(57,1),(83,1),(123,1)}
        35:{2,4,6,7}:{(18,1),(52,1),(55,1),(84,1),(92,1),(96,1)}
        36:{1,4,6,7}:{(19,1),(53,1),(54,1),(58,1),(91,1),(116,1)}
        37:{1,3,5,6}:{(20,1),(22,1),(56,1),(57,1),(94,1)}
        38:{1,2,4,6}:{(20,1),(21,1),(23,1),(56,1),(57,1),(58,1),(96,1),(97,1)}
        39:{3,4,6}:{(21,1),(24,1),(50,1),(57,1),(58,1)}
        40:{1,4,7}:{(22,1),(56,1),(59,1),(139,1)}
        41:{3,5,7}:{(23,1),(57,1),(59,1),(94,1),(123,1),(135,1)}
        42:{1,4,5,7}:{(24,1),(53,1),(58,1),(60,1),(91,1),(120,1)}
        43:{1,2,5,6}:{(25,1),(27,1),(62,1),(63,1),(69,1),(126,1)}
        44:{1,4,6}:{(25,1),(28,1),(64,1)}
        45:{2,3,5,7}:{(26,1),(27,1),(62,1),(65,1),(66,1),(132,1)}
        46:{1,2,4,5,7}:{(27,1),(28,1),(63,1),(65,1),(66,1),(67,1),(99,1),(103,1),(105,1),(110,1),(126,1),(130,1)}
        47:{3,4,5,7}:{(28,1),(32,1),(64,1),(66,1),(67,1),(71,1),(106,1)}
        48:{1,2,4,5,6}:{(29,1),(30,1),(31,1),(38,1),(63,1),(68,1),(69,1),(70,1),(75,1),(99,1),(107,1),(108,1),(109,1),(112,1),(126,1),(130,1)}
        49:{3,5,6}:{(29,1),(32,1),(64,1),(69,1)}
        50:{3,5,6}:{(30,1),(33,1),(39,1),(70,1)}
        51:{3,5,7}:{(31,1),(34,1),(68,1),(71,1)}
        52:{2,5,7}:{(32,1),(35,1),(69,1),(112,1)}
        53:{1,5,7}:{(33,1),(36,1),(70,1),(126,1)}
        54:{1,3,6,7}:{(34,1),(36,1),(72,1),(74,1),(77,1),(101,1)}
        55:{2,3,6,7}:{(34,1),(35,1),(73,1),(74,1),(78,1),(102,1)}
        56:{1,4,6}:{(37,1),(40,1),(75,1),(76,1)}
        57:{3,6}:{(38,1),(41,1)}
        58:{1,4,6}:{(39,1),(42,1),(70,1),(77,1)}
        59:{3,4,7}:{(40,1),(41,1),(76,1),(80,1),(138,1)}
        60:{1,3,5,7}:{(41,1),(42,1),(77,1),(79,1),(81,1),(111,1)}
        61:{2,3,5,7}:{(41,1),(78,1),(80,1),(81,1),(112,1),(114,1),(132,1)}
        62:{2,3,5,6}:{(43,1),(45,1),(82,1),(83,1),(115,1)}
        63:{1,2,4,6}:{(43,1),(44,1),(46,1),(82,1),(83,1),(84,1),(116,1),(118,1)}
        64:{3,4,6}:{(44,1),(47,1),(49,1),(83,1),(84,1)}
        65:{2,4,7}:{(45,1),(82,1),(85,1),(136,1)}
        66:{3,5,7}:{(46,1),(83,1),(85,1),(115,1),(123,1),(135,1)}
        67:{2,4,5,7}:{(47,1),(52,1),(84,1),(87,1),(92,1),(121,1)}
        68:{3,5,6}:{(48,1),(51,1),(57,1),(83,1),(88,1),(94,1),(115,1),(135,1)}
        69:{2,5,6}:{(49,1),(52,1),(84,1)}
        70:{1,5,6}:{(50,1),(53,1),(58,1)}
        71:{3,4,7}:{(51,1),(88,1),(91,1),(92,1),(123,1)}
        72:{1,3,5,7}:{(51,1),(53,1),(54,1),(89,1),(91,1),(93,1),(123,1)}
        73:{2,3,5,7}:{(51,1),(52,1),(55,1),(90,1),(92,1),(93,1),(123,1)}
        74:{1,2,6,7}:{(54,1),(55,1),(93,1),(97,1),(118,1)}
        75:{1,4,5}:{(56,1),(94,1)}
        76:{3,4,6}:{(56,1),(57,1),(59,1),(94,1),(96,1)}
        77:{1,3,6}:{(57,1),(58,1),(60,1),(97,1)}
        78:{2,3,6}:{(57,1),(61,1),(96,1),(97,1)}
        79:{1,3,4,7}:{(59,1),(60,1),(91,1),(95,1),(98,1),(123,1)}
        80:{2,4,7}:{(59,1),(61,1),(96,1),(136,1)}
        81:{1,2,5,7}:{(60,1),(61,1),(97,1),(98,1),(124,1)}
        82:{2,4,6}:{(62,1),(65,1),(99,1),(100,1)}
        83:{3,6}:{(63,1),(66,1)}
        84:{2,4,6}:{(64,1),(67,1),(69,1),(102,1)}
        85:{3,4,7}:{(65,1),(66,1),(100,1),(103,1),(138,1)}
        86:{1,3,5,7}:{(66,1),(101,1),(103,1),(105,1),(126,1),(129,1),(137,1)}
        87:{2,3,5,7}:{(66,1),(67,1),(102,1),(104,1),(105,1),(127,1)}
        88:{3,4,6}:{(68,1),(71,1),(106,1),(107,1),(108,1),(131,1),(138,1)}
        89:{1,3,5,6}:{(68,1),(70,1),(72,1),(77,1),(101,1),(107,1),(109,1),(111,1),(126,1),(131,1),(137,1)}
        90:{2,3,5,6}:{(68,1),(69,1),(73,1),(78,1),(102,1),(108,1),(109,1),(112,1),(127,1),(131,1),(132,1)}
        91:{1,4,7}:{(71,1),(72,1),(107,1)}
        92:{2,4,7}:{(71,1),(73,1),(108,1)}
        93:{1,2,5,7}:{(72,1),(73,1),(74,1),(109,1),(110,1)}
        94:{3,5}:{(75,1),(76,1),(112,1)}
        95:{1,3,4,6}:{(76,1),(77,1),(79,1),(107,1),(111,1),(113,1),(131,1),(138,1)}
        96:{2,4,6}:{(76,1),(78,1),(80,1),(112,1)}
        97:{1,2,6}:{(77,1),(78,1),(81,1)}
        98:{1,2,4,7}:{(79,1),(80,1),(81,1),(113,1),(114,1)}
        99:{2,4,5}:{(82,1),(115,1)}
       100:{3,4,6}:{(82,1),(83,1),(85,1),(115,1),(116,1)}
       101:{1,3,6}:{(83,1),(86,1),(116,1),(118,1)}
       102:{2,3,6}:{(83,1),(84,1),(87,1),(118,1)}
       103:{1,4,7}:{(85,1),(86,1),(116,1),(139,1)}
       104:{2,3,4,7}:{(85,1),(87,1),(92,1),(117,1),(119,1),(123,1)}
       105:{1,2,5,7}:{(86,1),(87,1),(118,1),(119,1),(133,1)}
       106:{3,4,5}:{(88,1),(94,1),(115,1),(120,1),(121,1),(135,1)}
       107:{1,4,6}:{(88,1),(89,1),(91,1),(120,1),(139,1)}
       108:{2,4,6}:{(88,1),(90,1),(92,1),(121,1),(136,1)}
       109:{1,2,5,6}:{(89,1),(90,1),(93,1),(97,1),(118,1),(122,1),(124,1),(133,1)}
       110:{1,2,4,7}:{(91,1),(92,1),(93,1),(122,1),(123,1)}
       111:{1,3,5}:{(94,1),(95,1),(120,1),(124,1),(135,1)}
       112:{2,5}:{(94,1),(96,1)}
       113:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(124,1),(125,1),(136,1)}
       114:{2,3,7}:{(98,1),(123,1),(125,1)}
       115:{3,5}:{(99,1),(100,1),(126,1)}
       116:{1,4,6}:{(100,1),(101,1),(103,1),(126,1)}
       117:{2,3,4,6}:{(100,1),(102,1),(104,1),(108,1),(127,1),(128,1),(131,1),(138,1)}
       118:{1,2,6}:{(101,1),(102,1),(105,1)}
       119:{1,2,4,7}:{(103,1),(104,1),(105,1),(128,1),(129,1)}
       120:{1,4,5}:{(106,1),(107,1),(111,1),(126,1)}
       121:{2,4,5}:{(106,1),(108,1),(112,1),(127,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(110,1),(130,1),(131,1)}
       123:{3,7}:{(110,1),(131,1)}
       124:{1,2,5}:{(111,1),(112,1),(113,1),(132,1)}
       125:{2,3,6}:{(113,1),(114,1),(131,1),(132,1)}
       126:{1,5}:{(115,1),(116,1)}
       127:{2,3,5}:{(115,1),(117,1),(121,1),(133,1),(135,1)}
       128:{1,2,4,6}:{(116,1),(117,1),(118,1),(119,1),(133,1),(134,1),(139,1)}
       129:{1,3,7}:{(119,1),(123,1),(134,1)}
       130:{1,2,4,5}:{(120,1),(121,1),(122,1),(124,1),(133,1),(135,1),(136,1),(139,1)}
       131:{3,6}:{(122,1),(123,1),(135,1)}
       132:{2,3,5}:{(124,1),(125,1),(135,1),(136,1)}
       133:{1,2,5}:{(126,1),(127,1),(128,1),(137,1)}
       134:{1,3,6}:{(128,1),(129,1),(131,1),(137,1)}
       135:{3,5}:{(130,1),(131,1),(138,1)}
       136:{2,4}:{(132,1),(138,1)}
       137:{1,3,5}:{(133,1),(134,1),(135,1),(139,1)}
       138:{3,4}:{(135,1),(136,1),(139,1)}
       139:{1,4}:{(137,1),(138,1)}

1976 :  0:{1,2,3,4,7}:{(1,1),(2,1),(27,1),(79,1)}
        1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(69,1),(70,1)}
        3:{2,3,4,5,7}:{(4,1),(7,1),(20,1),(21,1),(39,1)}
        4:{1,2,4,5,7}:{(1,1),(3,1),(8,1),(9,1),(12,1),(25,1),(27,1)}
        5:{1,2,3,6}:{(1,1),(9,1)}
        6:{1,2,3,5}:{(2,1),(12,1)}
        7:{2,3,4,6}:{(3,1),(9,1),(14,1),(28,1)}
        8:{1,3,4,5,7}:{(4,1),(15,1),(20,1),(34,1),(39,1)}
        9:{1,2,4,6}:{(4,1),(5,1),(7,1),(15,1),(17,1)}
       10:{1,2,3,6,7}:{(5,1),(16,1),(18,1),(64,1),(82,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(17,1),(18,1),(19,1),(38,1),(67,1),(69,1)}
       12:{1,2,4,5}:{(6,1),(19,1),(20,1)}
       13:{2,3,4,6,7}:{(7,1),(16,1),(21,1),(39,1),(43,1),(64,1)}
       14:{2,3,5,6}:{(7,1),(17,1),(21,1),(22,1),(38,1)}
       15:{1,3,4,6}:{(8,1),(9,1),(24,1),(28,1)}
       16:{1,2,4,6,7}:{(9,1),(10,1),(13,1),(23,1),(25,1),(27,1)}
       17:{1,2,5,6}:{(9,1),(14,1),(24,1),(25,1)}
       18:{1,2,3,5,7}:{(10,1),(11,1),(25,1),(27,1),(51,1),(78,1),(79,1)}
       19:{1,2,4,6}:{(11,1),(12,1),(27,1),(28,1)}
       20:{3,4,5}:{(12,1),(28,1)}
       21:{2,3,5,7}:{(13,1),(14,1),(25,1),(32,1),(51,1)}
       22:{2,4,5,6}:{(14,1),(32,1),(33,1)}
       23:{1,3,4,6,7}:{(15,1),(16,1),(34,1),(39,1),(61,1),(64,1)}
       24:{1,3,5,6}:{(15,1),(17,1),(34,1),(35,1),(38,1)}
       25:{1,2,5,7}:{(16,1),(17,1),(21,1),(34,1)}
       26:{1,2,4,5,6}:{(17,1),(19,1),(22,1),(35,1),(37,1),(38,1),(45,1),(63,1),(67,1)}
       27:{1,2,4,7}:{(18,1),(19,1),(39,1)}
       28:{3,4,6}:{(19,1),(20,1),(38,1),(39,1)}
       29:{1,3,4,5}:{(20,1),(40,1),(42,1)}
       30:{2,3,4,5}:{(20,1),(41,1),(42,1)}
       31:{2,3,5,6,7}:{(21,1),(36,1),(43,1),(60,1),(64,1)}
       32:{2,4,5,7}:{(21,1),(22,1),(43,1),(44,1)}
       33:{3,4,5,6}:{(22,1),(38,1),(44,1),(45,1)}
       34:{1,3,5,7}:{(23,1),(24,1),(25,1),(48,1),(51,1)}
       35:{1,4,5,6}:{(24,1),(48,1),(49,1)}
       36:{1,2,5,6,7}:{(25,1),(31,1),(47,1),(50,1),(72,1),(83,1)}
       37:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(32,1),(48,1),(50,1),(51,1),(59,1),(75,1),(78,1)}
       38:{3,5,6}:{(26,1),(28,1),(51,1)}
       39:{3,4,7}:{(27,1),(28,1),(51,1)}
       40:{1,3,4,6}:{(28,1),(29,1),(52,1),(54,1),(56,1)}
       41:{2,3,4,6}:{(28,1),(30,1),(53,1),(55,1),(56,1)}
       42:{1,2,4,5}:{(29,1),(30,1),(56,1),(57,1)}
       43:{2,4,6,7}:{(31,1),(32,1),(58,1)}
       44:{3,4,5,7}:{(32,1),(33,1),(51,1),(58,1),(59,1)}
       45:{1,4,5,6}:{(33,1),(52,1),(59,1)}
       46:{2,4,5,6,7}:{(43,1),(60,1)}
       47:{1,3,5,6,7}:{(34,1),(36,1),(61,1),(64,1),(80,1)}
       48:{1,4,5,7}:{(34,1),(35,1),(61,1),(62,1)}
       49:{3,4,5,6}:{(35,1),(38,1),(62,1),(63,1)}
       50:{1,2,4,6,7}:{(36,1),(37,1),(43,1),(61,1),(64,1),(71,1),(81,1),(82,1)}
       51:{3,5,7}:{(37,1),(38,1),(39,1),(64,1)}
       52:{1,3,5,6}:{(38,1),(40,1),(45,1),(65,1),(67,1)}
       53:{2,3,5,6}:{(38,1),(41,1),(63,1),(66,1),(67,1)}
       54:{1,3,4,7}:{(39,1),(40,1),(65,1),(68,1)}
       55:{2,3,4,7}:{(39,1),(41,1),(66,1),(68,1)}
       56:{1,2,4,6}:{(40,1),(41,1),(42,1),(67,1),(68,1),(69,1)}
       57:{1,2,3,5}:{(42,1),(69,1),(70,1)}
       58:{3,4,6,7}:{(43,1),(44,1),(60,1),(64,1),(71,1)}
       59:{1,4,5,7}:{(44,1),(45,1),(65,1),(71,1)}
       60:{3,5,6,7}:{(46,1),(58,1),(72,1)}
       61:{1,4,6,7}:{(47,1),(48,1),(74,1)}
       62:{3,4,5,7}:{(48,1),(49,1),(51,1),(74,1),(75,1)}
       63:{2,4,5,6}:{(49,1),(53,1),(75,1)}
       64:{3,6,7}:{(50,1),(51,1)}
       65:{1,3,5,7}:{(51,1),(52,1),(54,1),(59,1),(76,1),(78,1)}
       66:{2,3,5,7}:{(51,1),(53,1),(55,1),(75,1),(77,1),(78,1)}
       67:{1,2,5,6}:{(52,1),(53,1),(56,1),(78,1)}
       68:{1,2,4,7}:{(54,1),(55,1),(56,1),(78,1),(79,1)}
       69:{1,2,3,6}:{(56,1),(57,1),(79,1)}
       70:{1,2,3,4}:{(57,1)}
       71:{1,4,6,7}:{(58,1),(59,1),(72,1),(76,1)}
       72:{1,5,6,7}:{(60,1),(71,1)}
       73:{1,4,5,6,7}:{(61,1),(80,1)}
       74:{3,4,6,7}:{(61,1),(62,1),(64,1),(80,1),(81,1)}
       75:{2,4,5,7}:{(62,1),(63,1),(66,1),(81,1)}
       76:{1,3,6,7}:{(64,1),(65,1),(71,1),(82,1)}
       77:{2,3,6,7}:{(64,1),(66,1),(81,1),(82,1)}
       78:{1,2,5,7}:{(65,1),(66,1),(67,1),(68,1),(82,1)}
       79:{1,2,3,7}:{(68,1),(69,1)}
       80:{3,5,6,7}:{(73,1),(74,1),(83,1)}
       81:{2,4,6,7}:{(74,1),(75,1),(77,1),(83,1)}
       82:{1,2,6,7}:{(76,1),(77,1),(78,1)}
       83:{2,5,6,7}:{(80,1),(81,1)}

1977 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(8,1),(22,1),(26,1),(27,1)}
         2:{1,2,3,5}:{(0,1),(7,1),(8,1)}
         3:{2,3,4,5}:{(7,1),(9,1),(24,1)}
         4:{1,2,3,4}:{(10,1)}
         5:{1,2,3,4,7}:{(1,1),(13,1),(18,1),(38,1),(45,1)}
         6:{1,2,3,5}:{(1,1),(12,1)}
         7:{1,2,4,5}:{(2,1),(3,1),(16,1),(17,1)}
         8:{1,2,3,6}:{(2,1),(17,1),(18,1)}
         9:{2,3,4,6}:{(3,1),(17,1),(19,1),(20,1),(42,1)}
        10:{1,2,3,5}:{(4,1),(21,1),(22,1)}
        11:{1,3,4,5}:{(21,1),(23,1),(24,1)}
        12:{1,2,4,5}:{(6,1),(24,1),(26,1)}
        13:{1,2,3,5,7}:{(5,1),(6,1),(25,1),(27,1)}
        14:{1,2,3,5,6}:{(6,1),(8,1),(22,1),(26,1),(27,1),(28,1),(33,1),(55,1),(58,1),(62,1)}
        15:{3,4,5,6}:{(29,1),(30,1),(31,1),(58,1),(90,1)}
        16:{1,3,4,5}:{(7,1),(24,1),(32,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(9,1),(32,1),(33,1),(34,1)}
        18:{1,2,3,7}:{(8,1),(34,1)}
        19:{2,3,5,6}:{(9,1),(30,1),(33,1),(35,1),(58,1)}
        20:{2,3,4,7}:{(9,1),(34,1),(35,1),(60,1)}
        21:{1,2,4,5}:{(10,1),(11,1),(36,1),(37,1)}
        22:{1,2,3,6}:{(10,1),(37,1),(38,1)}
        23:{1,3,4,6}:{(11,1),(37,1),(39,1),(40,1),(42,1)}
        24:{3,4,5}:{(12,1),(42,1)}
        25:{1,2,4,5,7}:{(12,1),(13,1),(41,1),(44,1),(45,1),(79,1)}
        26:{1,2,4,6}:{(12,1),(14,1),(42,1),(45,1)}
        27:{1,2,3,6}:{(13,1),(44,1)}
        28:{1,2,3,5,7}:{(14,1),(18,1),(38,1),(45,1),(46,1),(52,1),(72,1),(75,1),(79,1)}
        29:{1,4,5,6}:{(15,1),(39,1),(47,1)}
        30:{2,4,5,6}:{(15,1),(19,1),(48,1)}
        31:{3,4,5,7}:{(15,1),(47,1),(48,1),(49,1),(75,1),(98,1)}
        32:{1,3,4,6}:{(16,1),(17,1),(42,1),(50,1),(51,1)}
        33:{1,2,5,6}:{(17,1),(19,1),(50,1),(52,1)}
        34:{1,2,4,7}:{(17,1),(18,1),(20,1),(51,1),(52,1)}
        35:{2,3,5,7}:{(19,1),(20,1),(48,1),(52,1),(53,1),(75,1)}
        36:{2,3,4,5}:{(21,1),(24,1),(54,1)}
        37:{1,2,4,6}:{(21,1),(22,1),(23,1),(54,1),(55,1),(56,1)}
        38:{1,2,3,7}:{(22,1),(56,1)}
        39:{1,3,5,6}:{(23,1),(29,1),(55,1),(57,1),(58,1)}
        40:{1,3,4,7}:{(23,1),(56,1),(57,1),(60,1)}
        41:{3,4,5,7}:{(24,1),(25,1),(59,1),(60,1),(91,1)}
        42:{3,4,6}:{(24,1),(26,1),(58,1),(60,1)}
        43:{1,2,4,5,6}:{(26,1),(29,1),(30,1),(33,1),(55,1),(58,1),(61,1),(62,1),(67,1),(85,1),(90,1)}
        44:{1,2,4,6}:{(25,1),(27,1),(59,1),(62,1)}
        45:{1,2,4,7}:{(26,1),(28,1),(60,1)}
        46:{1,2,3,6,7}:{(27,1),(28,1),(63,1),(69,1),(87,1),(89,1)}
        47:{1,4,5,7}:{(29,1),(31,1),(57,1),(64,1)}
        48:{2,4,5,7}:{(30,1),(31,1),(35,1),(65,1)}
        49:{3,4,6,7}:{(31,1),(64,1),(65,1),(66,1),(89,1),(102,1)}
        50:{1,3,5,6}:{(32,1),(33,1),(58,1),(67,1),(68,1)}
        51:{1,3,4,7}:{(32,1),(34,1),(60,1),(68,1)}
        52:{1,2,5,7}:{(33,1),(34,1),(35,1),(68,1),(69,1)}
        53:{2,3,6,7}:{(35,1),(65,1),(69,1),(89,1)}
        54:{2,3,4,6}:{(36,1),(37,1),(42,1),(70,1),(71,1)}
        55:{1,2,5,6}:{(37,1),(39,1),(70,1),(72,1)}
        56:{1,2,4,7}:{(37,1),(38,1),(40,1),(71,1),(72,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(47,1),(72,1),(73,1),(75,1)}
        58:{3,5,6}:{(42,1),(43,1),(75,1)}
        59:{3,4,6}:{(41,1),(44,1),(76,1)}
        60:{3,4,7}:{(42,1),(45,1),(75,1)}
        61:{1,2,4,5,7}:{(43,1),(45,1),(47,1),(48,1),(52,1),(72,1),(75,1),(78,1),(79,1),(83,1),(94,1),(98,1)}
        62:{1,2,5,6}:{(44,1),(76,1),(79,1)}
        63:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(77,1),(79,1)}
        64:{1,4,6,7}:{(47,1),(49,1),(73,1),(80,1)}
        65:{2,4,6,7}:{(48,1),(49,1),(53,1),(81,1)}
        66:{3,5,6,7}:{(49,1),(80,1),(81,1),(82,1)}
        67:{1,4,5,6}:{(50,1),(74,1),(83,1)}
        68:{1,3,5,7}:{(50,1),(51,1),(52,1),(75,1),(83,1),(84,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(84,1)}
        70:{2,3,5,6}:{(54,1),(55,1),(58,1),(85,1),(86,1)}
        71:{2,3,4,7}:{(54,1),(56,1),(60,1),(86,1)}
        72:{1,2,5,7}:{(55,1),(56,1),(57,1),(86,1),(87,1)}
        73:{1,3,6,7}:{(57,1),(64,1),(87,1),(89,1)}
        74:{3,4,5,6}:{(58,1),(67,1),(85,1),(88,1),(90,1)}
        75:{3,5,7}:{(58,1),(60,1),(61,1),(89,1)}
        76:{3,5,6}:{(59,1),(62,1),(90,1),(91,1)}
        77:{3,4,6,7}:{(59,1),(60,1),(63,1),(89,1),(91,1),(102,1)}
        78:{1,2,4,6,7}:{(61,1),(64,1),(65,1),(69,1),(87,1),(89,1),(92,1),(93,1),(100,1),(102,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(91,1)}
        80:{1,5,6,7}:{(64,1),(66,1)}
        81:{2,5,6,7}:{(65,1),(66,1)}
        82:{4,5,6,7}:{(66,1),(102,1)}
        83:{1,4,5,7}:{(67,1),(68,1),(88,1),(93,1)}
        84:{1,3,6,7}:{(68,1),(69,1),(89,1),(93,1)}
        85:{2,4,5,6}:{(70,1),(74,1),(94,1)}
        86:{2,3,5,7}:{(70,1),(71,1),(72,1),(75,1),(94,1),(95,1)}
        87:{1,2,6,7}:{(72,1),(73,1),(95,1)}
        88:{3,4,5,7}:{(74,1),(75,1),(83,1),(94,1),(96,1),(98,1)}
        89:{3,6,7}:{(75,1),(78,1)}
        90:{4,5,6}:{(76,1),(98,1)}
        91:{3,5,7}:{(76,1),(77,1),(79,1),(98,1)}
        92:{1,2,5,6,7}:{(78,1),(79,1),(80,1),(81,1),(97,1),(99,1),(103,1)}
        93:{1,4,6,7}:{(83,1),(84,1),(96,1),(99,1)}
        94:{2,4,5,7}:{(85,1),(86,1),(88,1),(100,1)}
        95:{2,3,6,7}:{(86,1),(87,1),(89,1),(100,1)}
        96:{3,4,6,7}:{(88,1),(89,1),(93,1),(100,1),(101,1),(102,1)}
        97:{3,5,6,7}:{(89,1),(91,1),(92,1),(102,1)}
        98:{4,5,7}:{(90,1),(91,1),(102,1)}
        99:{1,5,6,7}:{(93,1),(101,1)}
       100:{2,4,6,7}:{(94,1),(95,1),(96,1),(103,1)}
       101:{3,5,6,7}:{(96,1),(99,1),(103,1),(104,1)}
       102:{4,6,7}:{(97,1),(98,1)}
       103:{2,5,6,7}:{(100,1),(101,1)}
       104:{4,5,6,7}:{(101,1),(102,1)}

1978 :   0:{1,2,3,5,6,7}:{(1,1),(5,1),(18,1),(19,1),(20,1),(21,1),(44,1),(76,1),(95,1),(96,1),(98,1)}
         1:{1,2,4,6,7}:{(0,1),(2,1),(3,1),(26,1),(27,1),(111,1),(112,1),(114,1)}
         2:{1,2,4,5,7}:{(1,1),(4,1),(5,1),(15,1),(16,1),(20,1),(124,1)}
         3:{3,4,6,7}:{(1,1),(5,1),(14,1),(76,1),(100,1),(122,1)}
         4:{1,2,4,5,6}:{(2,1),(10,1),(26,1),(27,1),(31,1)}
         5:{3,5,7}:{(2,1),(3,1),(10,1),(132,1)}
         6:{1,3,4,6,7}:{(3,1),(11,1),(13,1),(26,1),(59,1),(60,1),(88,1),(89,1),(112,1)}
         7:{2,3,4,6,7}:{(3,1),(12,1),(13,1),(27,1),(59,1),(60,1),(90,1),(91,1),(114,1)}
         8:{3,4,5,7}:{(5,1),(14,1),(15,1),(16,1),(43,1),(100,1),(101,1)}
         9:{1,2,4,5,6,7}:{(4,1),(17,1),(40,1),(41,1),(44,1),(67,1),(109,1)}
        10:{3,5,6}:{(4,1),(5,1),(14,1)}
        11:{1,3,5,7}:{(5,1),(6,1),(15,1),(18,1),(20,1),(43,1),(105,1)}
        12:{2,3,5,7}:{(5,1),(7,1),(16,1),(19,1),(20,1),(43,1),(107,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(21,1),(42,1),(46,1),(103,1)}
        14:{3,4,6}:{(8,1),(10,1),(26,1),(27,1),(59,1)}
        15:{1,4,5,7}:{(8,1),(11,1),(26,1),(112,1),(113,1)}
        16:{2,4,5,7}:{(8,1),(12,1),(27,1),(114,1),(115,1)}
        17:{3,5,6,7}:{(9,1),(10,1),(25,1),(84,1),(121,1)}
        18:{1,3,5,6}:{(10,1),(11,1),(26,1),(31,1),(59,1)}
        19:{2,3,5,6}:{(10,1),(12,1),(27,1),(31,1),(59,1)}
        20:{1,2,5,7}:{(11,1),(12,1),(13,1),(31,1),(118,1)}
        21:{1,2,3,6,7}:{(13,1),(32,1),(59,1),(86,1),(88,1),(90,1)}
        22:{3,4,5,6}:{(14,1),(33,1),(34,1),(35,1),(68,1),(101,1),(127,1)}
        23:{2,3,4,5,7}:{(16,1),(36,1),(37,1),(43,1),(63,1),(75,1),(100,1),(101,1),(107,1),(126,1),(137,1)}
        24:{1,3,4,5,7}:{(15,1),(38,1),(39,1),(43,1),(65,1),(72,1),(100,1),(101,1),(105,1),(125,1),(137,1)}
        25:{3,4,6,7}:{(14,1),(17,1),(33,1),(40,1),(41,1),(76,1),(100,1),(127,1)}
        26:{1,4,6}:{(14,1),(15,1),(18,1)}
        27:{2,4,6}:{(14,1),(16,1),(19,1)}
        28:{1,2,4,5,7}:{(15,1),(16,1),(20,1),(42,1),(43,1),(46,1),(79,1)}
        29:{1,3,5,6,7}:{(17,1),(18,1),(40,1),(44,1),(65,1),(76,1),(96,1),(129,1)}
        30:{2,3,5,6,7}:{(17,1),(19,1),(41,1),(44,1),(63,1),(76,1),(98,1),(130,1)}
        31:{1,2,5,6}:{(18,1),(19,1),(20,1),(42,1)}
        32:{1,2,3,5,7}:{(20,1),(21,1),(43,1),(45,1),(46,1),(96,1),(98,1)}
        33:{3,4,5,7}:{(22,1),(25,1),(49,1),(50,1),(84,1)}
        34:{1,4,5,6}:{(22,1),(26,1),(48,1),(49,1),(113,1),(134,1)}
        35:{2,4,5,6}:{(22,1),(27,1),(47,1),(50,1),(115,1),(135,1)}
        36:{2,3,4,6}:{(23,1),(27,1),(47,1),(53,1),(59,1),(85,1),(135,1),(139,1)}
        37:{1,2,4,5,7}:{(23,1),(53,1),(54,1),(80,1),(87,1),(112,1),(113,1),(118,1)}
        38:{1,3,4,6}:{(24,1),(26,1),(48,1),(56,1),(59,1),(85,1),(134,1),(139,1)}
        39:{1,2,4,5,7}:{(24,1),(56,1),(57,1),(82,1),(87,1),(114,1),(115,1),(118,1)}
        40:{1,4,6,7}:{(25,1),(26,1),(29,1),(49,1),(112,1),(134,1)}
        41:{2,4,6,7}:{(25,1),(27,1),(30,1),(50,1),(114,1),(135,1)}
        42:{1,2,4,6}:{(26,1),(27,1),(28,1),(31,1),(59,1)}
        43:{3,5,7}:{(28,1),(59,1),(60,1),(93,1)}
        44:{1,2,5,6,7}:{(29,1),(30,1),(31,1),(58,1),(80,1),(82,1),(136,1)}
        45:{1,2,3,5,6}:{(31,1),(32,1),(59,1),(62,1),(81,1),(83,1),(86,1),(93,1),(118,1)}
        46:{1,2,4,7}:{(32,1),(60,1),(62,1),(112,1),(114,1)}
        47:{2,3,5,6}:{(35,1),(36,1),(63,1),(64,1),(68,1),(107,1)}
        48:{1,3,5,6}:{(34,1),(38,1),(65,1),(66,1),(68,1),(105,1)}
        49:{1,4,5,7}:{(33,1),(34,1),(40,1),(65,1)}
        50:{2,4,5,7}:{(33,1),(35,1),(41,1),(63,1)}
        51:{1,2,4,5,6}:{(34,1),(35,1),(42,1),(64,1),(66,1),(67,1),(68,1),(79,1),(97,1),(99,1),(124,1),(138,1)}
        52:{2,3,4,6,7}:{(36,1),(41,1),(63,1),(70,1),(76,1),(100,1)}
        53:{1,2,4,6}:{(36,1),(37,1),(64,1),(71,1),(97,1)}
        54:{1,3,5,7}:{(37,1),(43,1),(71,1),(72,1),(105,1),(137,1)}
        55:{1,3,4,6,7}:{(38,1),(40,1),(65,1),(73,1),(76,1),(100,1)}
        56:{1,2,4,6}:{(38,1),(39,1),(66,1),(74,1),(99,1)}
        57:{2,3,5,7}:{(39,1),(43,1),(74,1),(75,1),(107,1),(137,1)}
        58:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(44,1),(67,1),(76,1),(138,1)}
        59:{3,6}:{(42,1),(43,1)}
        60:{3,4,7}:{(43,1),(46,1),(77,1)}
        61:{1,2,3,5,6,7}:{(44,1),(45,1),(76,1),(78,1),(96,1),(98,1),(102,1),(108,1),(128,1),(129,1),(130,1)}
        62:{1,2,4,6}:{(45,1),(46,1),(77,1),(79,1),(97,1),(99,1)}
        63:{2,3,5,7}:{(47,1),(50,1),(52,1),(80,1),(84,1)}
        64:{1,2,5,6}:{(47,1),(53,1),(80,1),(81,1),(118,1)}
        65:{1,3,5,7}:{(48,1),(49,1),(55,1),(82,1),(84,1)}
        66:{1,2,5,6}:{(48,1),(56,1),(82,1),(83,1),(118,1)}
        67:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(58,1),(80,1),(82,1),(84,1),(112,1),(114,1)}
        68:{3,5,6}:{(51,1),(59,1),(84,1),(85,1),(93,1),(132,1),(139,1)}
        69:{1,2,3,5,7}:{(54,1),(57,1),(86,1),(87,1),(118,1)}
        70:{1,2,4,6,7}:{(52,1),(53,1),(80,1),(88,1),(112,1)}
        71:{1,3,6}:{(53,1),(54,1),(59,1),(139,1)}
        72:{1,3,4,7}:{(54,1),(60,1),(87,1),(89,1),(112,1),(131,1)}
        73:{1,2,4,6,7}:{(55,1),(56,1),(82,1),(90,1),(114,1)}
        74:{2,3,6}:{(56,1),(57,1),(59,1),(139,1)}
        75:{2,3,4,7}:{(57,1),(60,1),(87,1),(91,1),(114,1),(131,1)}
        76:{3,6,7}:{(58,1),(59,1),(84,1),(139,1)}
        77:{3,4,6}:{(59,1),(60,1),(62,1),(93,1)}
        78:{1,2,4,6,7}:{(61,1),(62,1),(92,1),(94,1),(112,1),(114,1),(134,1),(135,1)}
        79:{1,2,4,5}:{(62,1),(93,1),(113,1),(115,1),(118,1)}
        80:{1,2,5,7}:{(63,1),(64,1),(70,1),(96,1)}
        81:{1,3,5,6}:{(64,1),(68,1),(71,1),(96,1),(97,1),(105,1)}
        82:{1,2,5,7}:{(65,1),(66,1),(73,1),(98,1)}
        83:{2,3,5,6}:{(66,1),(68,1),(74,1),(98,1),(99,1),(107,1)}
        84:{3,5,7}:{(67,1),(68,1),(76,1),(100,1)}
        85:{3,4,6}:{(68,1),(97,1),(99,1),(100,1),(101,1)}
        86:{1,2,3,6}:{(69,1),(71,1),(74,1),(103,1)}
        87:{1,2,4,7}:{(69,1),(72,1),(75,1),(103,1)}
        88:{1,3,6,7}:{(70,1),(71,1),(76,1),(96,1)}
        89:{1,3,4,6}:{(71,1),(72,1),(77,1),(97,1),(103,1),(105,1),(122,1)}
        90:{2,3,6,7}:{(73,1),(74,1),(76,1),(98,1)}
        91:{2,3,4,6}:{(74,1),(75,1),(77,1),(99,1),(103,1),(107,1),(122,1)}
        92:{3,4,6,7}:{(76,1),(77,1),(78,1),(100,1),(108,1),(127,1)}
        93:{3,5}:{(77,1),(79,1)}
        94:{1,2,4,5,7}:{(78,1),(79,1),(108,1),(109,1),(125,1),(126,1),(128,1)}
        95:{1,2,3,5,6}:{(81,1),(83,1),(86,1),(110,1),(111,1),(118,1),(132,1),(136,1),(139,1)}
        96:{1,3,5,7}:{(80,1),(81,1),(84,1),(88,1),(112,1)}
        97:{1,4,6}:{(81,1),(85,1),(112,1),(113,1)}
        98:{2,3,5,7}:{(82,1),(83,1),(84,1),(90,1),(114,1)}
        99:{2,4,6}:{(83,1),(85,1),(114,1),(115,1)}
       100:{3,4,7}:{(84,1),(85,1),(112,1),(114,1)}
       101:{3,4,5}:{(85,1),(93,1),(113,1),(115,1),(132,1)}
       102:{1,2,3,6,7}:{(86,1),(88,1),(90,1),(110,1),(117,1),(139,1)}
       103:{1,2,4,6}:{(86,1),(87,1),(89,1),(91,1),(118,1)}
       104:{1,3,4,6,7}:{(88,1),(89,1),(92,1),(112,1),(117,1),(119,1),(131,1),(134,1),(139,1)}
       105:{1,3,5}:{(89,1),(93,1),(113,1),(118,1),(132,1)}
       106:{2,3,4,6,7}:{(90,1),(91,1),(92,1),(114,1),(117,1),(120,1),(131,1),(135,1),(139,1)}
       107:{2,3,5}:{(91,1),(93,1),(115,1),(118,1),(132,1)}
       108:{3,5,7}:{(92,1),(93,1),(94,1),(121,1)}
       109:{1,2,4,5,6}:{(94,1),(121,1),(134,1),(135,1),(136,1)}
       110:{1,2,3,5,7}:{(95,1),(96,1),(98,1),(102,1),(123,1),(128,1),(137,1)}
       111:{1,2,4,6}:{(95,1),(97,1),(99,1),(122,1),(123,1),(124,1)}
       112:{1,4,7}:{(96,1),(97,1),(100,1)}
       113:{1,4,5}:{(97,1),(101,1),(105,1)}
       114:{2,4,7}:{(98,1),(99,1),(100,1)}
       115:{2,4,5}:{(99,1),(101,1),(107,1)}
       116:{3,4,5,7}:{(100,1),(101,1),(108,1),(125,1),(126,1),(127,1),(137,1)}
       117:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(106,1),(123,1),(128,1),(138,1)}
       118:{1,2,5}:{(103,1),(105,1),(107,1)}
       119:{1,3,5,7}:{(104,1),(105,1),(108,1),(125,1),(128,1),(129,1),(137,1)}
       120:{2,3,5,7}:{(106,1),(107,1),(108,1),(126,1),(128,1),(130,1),(137,1)}
       121:{3,5,6}:{(108,1),(109,1),(127,1)}
       122:{3,4,6}:{(111,1),(131,1),(132,1),(139,1)}
       123:{1,2,4,7}:{(110,1),(111,1),(112,1),(114,1),(131,1)}
       124:{1,2,4,5}:{(111,1),(113,1),(115,1),(118,1),(132,1)}
       125:{1,4,5,7}:{(112,1),(113,1),(116,1),(119,1),(134,1)}
       126:{2,4,5,7}:{(114,1),(115,1),(116,1),(120,1),(135,1)}
       127:{3,4,6}:{(116,1),(121,1),(134,1),(135,1),(139,1)}
       128:{1,2,5,7}:{(117,1),(118,1),(119,1),(120,1),(136,1)}
       129:{1,3,5,6}:{(119,1),(121,1),(134,1),(136,1),(139,1)}
       130:{2,3,5,6}:{(120,1),(121,1),(135,1),(136,1),(139,1)}
       131:{3,4,7}:{(122,1),(123,1),(137,1)}
       132:{3,5}:{(122,1),(124,1)}
       133:{1,2,4,5,7}:{(123,1),(124,1),(125,1),(126,1),(128,1),(137,1),(138,1)}
       134:{1,4,6}:{(125,1),(127,1),(129,1)}
       135:{2,4,6}:{(126,1),(127,1),(130,1)}
       136:{1,2,5,6}:{(128,1),(129,1),(130,1),(138,1)}
       137:{3,5,7}:{(131,1),(132,1),(133,1),(139,1)}
       138:{1,2,4,6}:{(133,1),(134,1),(135,1),(136,1),(139,1)}
       139:{3,6}:{(137,1),(138,1)}

1979 :   0:{3,4,5,6}:{(3,1),(4,1),(5,1),(34,1),(77,1),(116,1),(140,1)}
         1:{2,3,4,5}:{(6,1),(7,1),(41,1),(77,1),(83,1)}
         2:{1,3,4,5}:{(8,1),(9,1),(38,1),(77,1),(81,1)}
         3:{3,4,5,7}:{(0,1),(14,1),(15,1),(16,1),(55,1),(130,1)}
         4:{1,4,5,6}:{(0,1),(12,1),(15,1),(92,1),(127,1)}
         5:{2,4,5,6}:{(0,1),(11,1),(16,1),(95,1),(129,1)}
         6:{2,3,4,6}:{(1,1),(11,1),(18,1),(19,1),(56,1)}
         7:{1,2,4,5}:{(1,1),(19,1),(20,1),(58,1),(92,1),(100,1)}
         8:{1,3,4,6}:{(2,1),(12,1),(21,1),(22,1),(56,1)}
         9:{1,2,4,5}:{(2,1),(22,1),(23,1),(58,1),(95,1),(100,1)}
        10:{1,2,3,5,6}:{(24,1),(25,1),(48,1),(51,1),(57,1),(64,1),(100,1),(104,1),(105,1),(132,1)}
        11:{2,3,5,6}:{(5,1),(6,1),(26,1),(27,1),(34,1),(83,1),(119,1)}
        12:{1,3,5,6}:{(4,1),(8,1),(28,1),(29,1),(34,1),(81,1),(118,1)}
        13:{4,5,6,7}:{(30,1),(114,1),(140,1)}
        14:{3,4,6,7}:{(3,1),(30,1),(31,1),(32,1),(75,1),(114,1),(116,1)}
        15:{1,4,5,7}:{(3,1),(4,1),(28,1),(31,1)}
        16:{2,4,5,7}:{(3,1),(5,1),(26,1),(32,1)}
        17:{1,2,4,5,6}:{(4,1),(5,1),(27,1),(29,1),(33,1),(34,1),(45,1),(70,1),(73,1),(87,1),(109,1),(137,1),(138,1),(139,1),(140,1)}
        18:{2,3,4,7}:{(6,1),(26,1),(36,1),(76,1)}
        19:{1,2,4,6}:{(6,1),(7,1),(27,1),(36,1),(37,1),(70,1)}
        20:{1,3,5}:{(7,1),(37,1),(38,1)}
        21:{1,3,4,7}:{(8,1),(28,1),(39,1),(76,1)}
        22:{1,2,4,6}:{(8,1),(9,1),(29,1),(39,1),(40,1),(73,1)}
        23:{2,3,5}:{(9,1),(40,1),(41,1)}
        24:{1,2,3,5,7}:{(10,1),(43,1),(44,1),(69,1),(72,1),(78,1),(85,1),(86,1),(117,1)}
        25:{1,2,4,6}:{(10,1),(42,1),(44,1),(45,1),(70,1),(73,1)}
        26:{2,3,5,7}:{(11,1),(16,1),(18,1),(46,1),(47,1),(55,1)}
        27:{1,2,5,6}:{(11,1),(19,1),(47,1),(48,1),(100,1),(132,1)}
        28:{1,3,5,7}:{(12,1),(15,1),(21,1),(49,1),(50,1),(55,1)}
        29:{1,2,5,6}:{(12,1),(22,1),(50,1),(51,1),(100,1),(132,1)}
        30:{3,5,6,7}:{(13,1),(14,1),(52,1),(53,1),(131,1)}
        31:{1,4,6,7}:{(14,1),(15,1),(49,1),(52,1),(127,1)}
        32:{2,4,6,7}:{(14,1),(16,1),(46,1),(53,1),(129,1)}
        33:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(47,1),(50,1),(54,1),(55,1),(91,1),(94,1),(126,1),(128,1),(130,1)}
        34:{3,5,6}:{(17,1),(55,1),(56,1),(64,1),(104,1),(123,1),(142,1)}
        35:{1,2,3,5}:{(20,1),(23,1),(57,1),(58,1),(100,1)}
        36:{1,2,4,7}:{(18,1),(19,1),(47,1),(59,1),(91,1)}
        37:{1,3,6}:{(19,1),(20,1),(59,1)}
        38:{1,3,4}:{(20,1),(58,1)}
        39:{1,2,4,7}:{(21,1),(22,1),(50,1),(61,1),(94,1)}
        40:{2,3,6}:{(22,1),(23,1),(61,1)}
        41:{2,3,4}:{(23,1),(58,1)}
        42:{3,4,6}:{(25,1),(63,1),(64,1),(104,1)}
        43:{1,2,3,6,7}:{(24,1),(65,1),(90,1),(93,1),(104,1),(132,1)}
        44:{1,2,4,7}:{(24,1),(25,1),(63,1),(91,1),(94,1)}
        45:{1,2,4,5}:{(25,1),(64,1),(92,1),(95,1),(100,1)}
        46:{2,3,6,7}:{(26,1),(32,1),(68,1),(75,1),(119,1)}
        47:{1,2,5,7}:{(26,1),(27,1),(36,1),(68,1),(69,1)}
        48:{1,3,5,6}:{(27,1),(34,1),(37,1),(69,1),(70,1),(81,1),(118,1),(138,1)}
        49:{1,3,6,7}:{(28,1),(31,1),(71,1),(75,1),(118,1)}
        50:{1,2,5,7}:{(28,1),(29,1),(39,1),(71,1),(72,1)}
        51:{2,3,5,6}:{(29,1),(34,1),(40,1),(72,1),(73,1),(83,1),(119,1),(139,1)}
        52:{1,5,6,7}:{(30,1),(31,1),(138,1)}
        53:{2,5,6,7}:{(30,1),(32,1),(139,1)}
        54:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(68,1),(71,1),(74,1),(75,1),(87,1),(110,1),(112,1),(114,1),(137,1)}
        55:{3,5,7}:{(33,1),(34,1),(75,1),(76,1)}
        56:{3,4,6}:{(34,1),(70,1),(73,1),(76,1),(77,1)}
        57:{1,2,3,6}:{(35,1),(37,1),(40,1),(78,1),(79,1)}
        58:{1,2,4}:{(35,1),(38,1),(41,1)}
        59:{1,3,7}:{(36,1),(37,1)}
        60:{1,3,4,6}:{(37,1),(38,1),(42,1),(70,1),(79,1),(80,1),(81,1),(106,1),(118,1)}
        61:{2,3,7}:{(39,1),(40,1)}
        62:{2,3,4,6}:{(40,1),(41,1),(42,1),(73,1),(79,1),(82,1),(83,1),(106,1),(119,1)}
        63:{3,4,7}:{(42,1),(44,1),(85,1)}
        64:{3,5}:{(42,1),(45,1)}
        65:{1,2,4,6,7}:{(43,1),(44,1),(84,1),(86,1),(87,1),(110,1),(112,1)}
        66:{1,2,4,5,7}:{(44,1),(45,1),(85,1),(86,1),(87,1),(111,1),(113,1),(117,1),(120,1)}
        67:{1,2,3,5,6}:{(48,1),(51,1),(57,1),(88,1),(89,1),(100,1),(123,1),(132,1),(142,1),(143,1)}
        68:{1,2,6,7}:{(46,1),(47,1),(90,1),(132,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(55,1),(59,1),(90,1),(91,1),(126,1)}
        70:{1,4,6}:{(48,1),(56,1),(91,1),(92,1)}
        71:{1,2,6,7}:{(49,1),(50,1),(93,1),(132,1)}
        72:{2,3,5,7}:{(50,1),(51,1),(55,1),(61,1),(93,1),(94,1),(128,1)}
        73:{2,4,6}:{(51,1),(56,1),(94,1),(95,1)}
        74:{1,2,5,6,7}:{(52,1),(53,1),(54,1),(96,1),(105,1),(126,1),(128,1),(143,1)}
        75:{3,6,7}:{(54,1),(55,1),(104,1),(142,1)}
        76:{3,4,7}:{(55,1),(56,1),(91,1),(94,1)}
        77:{3,4,5}:{(56,1),(64,1),(92,1),(95,1),(123,1)}
        78:{1,2,3,7}:{(57,1),(59,1),(61,1),(99,1)}
        79:{1,2,4,6}:{(57,1),(58,1),(60,1),(62,1),(99,1),(100,1),(132,1)}
        80:{1,3,4,7}:{(59,1),(60,1),(63,1),(91,1),(99,1),(101,1),(122,1)}
        81:{1,3,5}:{(60,1),(64,1),(92,1),(100,1),(123,1)}
        82:{2,3,4,7}:{(61,1),(62,1),(63,1),(94,1),(99,1),(102,1),(122,1)}
        83:{2,3,5}:{(62,1),(64,1),(95,1),(100,1),(123,1)}
        84:{3,4,6,7}:{(63,1),(65,1),(103,1),(104,1),(133,1)}
        85:{3,5,7}:{(63,1),(64,1),(66,1),(104,1)}
        86:{1,2,5,7}:{(65,1),(103,1),(105,1),(126,1),(128,1)}
        87:{1,2,4,6}:{(66,1),(104,1),(105,1),(127,1),(129,1),(132,1),(133,1)}
        88:{1,2,3,5,7}:{(67,1),(69,1),(72,1),(78,1),(107,1),(108,1),(117,1),(135,1),(136,1)}
        89:{1,2,4,6}:{(67,1),(70,1),(73,1),(106,1),(108,1),(109,1)}
        90:{1,3,6,7}:{(68,1),(69,1),(75,1),(110,1),(118,1)}
        91:{1,4,7}:{(69,1),(70,1),(76,1)}
        92:{1,4,5}:{(70,1),(77,1),(81,1)}
        93:{2,3,6,7}:{(71,1),(72,1),(75,1),(112,1),(119,1)}
        94:{2,4,7}:{(72,1),(73,1),(76,1)}
        95:{2,4,5}:{(73,1),(77,1),(83,1)}
        96:{3,5,6,7}:{(74,1),(75,1),(114,1),(115,1),(121,1),(145,1)}
        97:{3,4,6,7}:{(75,1),(76,1),(110,1),(112,1),(114,1),(115,1),(116,1)}
        98:{3,4,5,7}:{(76,1),(77,1),(85,1),(111,1),(113,1),(115,1),(116,1),(120,1),(135,1),(144,1)}
        99:{1,2,4,7}:{(78,1),(79,1),(80,1),(82,1),(117,1)}
       100:{1,2,5}:{(79,1),(81,1),(83,1)}
       101:{1,3,5,7}:{(80,1),(81,1),(85,1),(111,1),(117,1),(118,1),(135,1)}
       102:{2,3,5,7}:{(82,1),(83,1),(85,1),(113,1),(117,1),(119,1),(135,1)}
       103:{3,5,7}:{(84,1),(86,1),(120,1),(121,1)}
       104:{3,6}:{(85,1),(87,1)}
       105:{1,2,5,6}:{(86,1),(87,1),(121,1),(138,1),(139,1)}
       106:{3,4,6}:{(89,1),(122,1),(123,1),(142,1)}
       107:{1,2,3,6,7}:{(88,1),(90,1),(93,1),(124,1),(132,1),(142,1)}
       108:{1,2,4,7}:{(88,1),(89,1),(91,1),(94,1),(122,1)}
       109:{1,2,4,5}:{(89,1),(92,1),(95,1),(100,1),(123,1)}
       110:{1,4,6,7}:{(90,1),(91,1),(97,1),(126,1),(127,1)}
       111:{1,4,5,7}:{(91,1),(92,1),(98,1),(101,1),(126,1),(127,1)}
       112:{2,4,6,7}:{(93,1),(94,1),(97,1),(128,1),(129,1)}
       113:{2,4,5,7}:{(94,1),(95,1),(98,1),(102,1),(128,1),(129,1)}
       114:{4,6,7}:{(96,1),(130,1),(133,1),(146,1)}
       115:{3,5,7}:{(97,1),(126,1),(128,1),(130,1),(131,1)}
       116:{3,4,6}:{(98,1),(104,1),(127,1),(129,1),(131,1),(133,1),(142,1),(146,1)}
       117:{1,2,5,7}:{(99,1),(100,1),(101,1),(102,1),(132,1)}
       118:{1,3,6}:{(101,1),(104,1),(127,1),(132,1),(142,1)}
       119:{2,3,6}:{(102,1),(104,1),(129,1),(132,1),(142,1)}
       120:{4,5,7}:{(103,1),(133,1)}
       121:{3,5,6}:{(103,1),(104,1),(105,1),(133,1)}
       122:{3,4,7}:{(106,1),(108,1),(135,1)}
       123:{3,5}:{(106,1),(109,1)}
       124:{1,2,4,6,7}:{(107,1),(108,1),(110,1),(112,1),(134,1),(136,1),(137,1)}
       125:{1,2,4,5,7}:{(108,1),(109,1),(111,1),(113,1),(117,1),(135,1),(136,1),(137,1),(144,1)}
       126:{1,5,7}:{(110,1),(115,1),(138,1)}
       127:{1,4,6}:{(111,1),(116,1),(118,1),(138,1)}
       128:{2,5,7}:{(112,1),(115,1),(139,1)}
       129:{2,4,6}:{(113,1),(116,1),(119,1),(139,1)}
       130:{4,5,7}:{(114,1),(115,1),(140,1)}
       131:{3,5,6}:{(115,1),(116,1),(138,1),(139,1),(140,1)}
       132:{1,2,6}:{(117,1),(118,1),(119,1)}
       133:{4,6}:{(120,1),(121,1)}
       134:{3,4,6,7}:{(122,1),(124,1),(141,1),(142,1),(146,1)}
       135:{3,5,7}:{(122,1),(123,1),(125,1),(142,1)}
       136:{1,2,5,7}:{(124,1),(126,1),(128,1),(141,1),(143,1)}
       137:{1,2,4,6}:{(125,1),(127,1),(129,1),(132,1),(142,1),(143,1),(146,1)}
       138:{1,5,6}:{(126,1),(127,1),(131,1)}
       139:{2,5,6}:{(128,1),(129,1),(131,1)}
       140:{4,5,6}:{(130,1),(131,1),(133,1),(146,1)}
       141:{3,5,7}:{(134,1),(136,1),(144,1),(145,1)}
       142:{3,6}:{(135,1),(137,1)}
       143:{1,2,5,6}:{(136,1),(137,1),(138,1),(139,1),(145,1)}
       144:{4,5,7}:{(141,1),(146,1)}
       145:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

1980 :   0:{4,5,6,7}:{(4,1),(76,1),(115,1)}
         1:{3,4,5,6}:{(5,1),(6,1),(7,1),(40,1),(85,1),(115,1),(119,1)}
         2:{1,3,4,5}:{(9,1),(12,1),(51,1),(85,1),(93,1)}
         3:{2,3,4,5}:{(10,1),(13,1),(50,1),(85,1),(92,1)}
         4:{3,5,6,7}:{(0,1),(14,1),(15,1),(16,1),(128,1)}
         5:{3,4,5,7}:{(1,1),(14,1),(17,1),(18,1),(58,1),(97,1)}
         6:{1,4,5,6}:{(1,1),(17,1),(19,1),(105,1),(132,1)}
         7:{2,4,5,6}:{(1,1),(18,1),(20,1),(104,1),(131,1)}
         8:{1,2,3,6,7}:{(24,1),(25,1),(94,1),(95,1),(109,1),(134,1)}
         9:{1,3,4,6}:{(2,1),(19,1),(22,1),(26,1),(62,1)}
        10:{2,3,4,6}:{(3,1),(20,1),(23,1),(27,1),(62,1)}
        11:{1,2,3,5,6}:{(24,1),(28,1),(60,1),(61,1),(67,1),(68,1),(71,1),(109,1),(110,1),(134,1)}
        12:{1,2,4,5}:{(2,1),(26,1),(29,1),(72,1),(104,1),(110,1)}
        13:{1,2,4,5}:{(3,1),(27,1),(30,1),(72,1),(105,1),(110,1)}
        14:{3,4,6,7}:{(4,1),(5,1),(31,1),(32,1),(75,1),(76,1),(119,1)}
        15:{1,5,6,7}:{(4,1),(31,1),(138,1)}
        16:{2,5,6,7}:{(4,1),(32,1),(137,1)}
        17:{1,4,5,7}:{(5,1),(6,1),(31,1),(34,1)}
        18:{2,4,5,7}:{(5,1),(7,1),(32,1),(35,1)}
        19:{1,3,5,6}:{(6,1),(9,1),(34,1),(38,1),(40,1),(93,1),(124,1)}
        20:{2,3,5,6}:{(7,1),(10,1),(35,1),(39,1),(40,1),(92,1),(123,1)}
        21:{1,2,4,5,6}:{(6,1),(7,1),(36,1),(38,1),(39,1),(40,1),(48,1),(83,1),(84,1),(90,1),(115,1),(121,1),(137,1),(138,1),(140,1)}
        22:{1,3,4,7}:{(9,1),(34,1),(41,1),(79,1)}
        23:{2,3,4,7}:{(10,1),(35,1),(42,1),(79,1)}
        24:{1,2,3,5,7}:{(8,1),(11,1),(43,1),(44,1),(77,1),(78,1),(86,1),(89,1),(122,1)}
        25:{1,2,4,6,7}:{(8,1),(37,1),(43,1),(44,1),(90,1),(112,1),(113,1)}
        26:{1,2,4,6}:{(9,1),(12,1),(38,1),(41,1),(45,1),(83,1)}
        27:{1,2,4,6}:{(10,1),(13,1),(39,1),(42,1),(46,1),(84,1)}
        28:{1,2,4,6}:{(11,1),(43,1),(47,1),(48,1),(83,1),(84,1)}
        29:{2,3,5}:{(12,1),(45,1),(50,1)}
        30:{1,3,5}:{(13,1),(46,1),(51,1)}
        31:{1,4,6,7}:{(14,1),(15,1),(17,1),(52,1),(132,1)}
        32:{2,4,6,7}:{(14,1),(16,1),(18,1),(53,1),(131,1)}
        33:{1,2,5,6,7}:{(15,1),(16,1),(54,1),(55,1),(67,1),(126,1),(127,1),(142,1)}
        34:{1,3,5,7}:{(17,1),(19,1),(22,1),(52,1),(56,1),(58,1)}
        35:{2,3,5,7}:{(18,1),(20,1),(23,1),(53,1),(57,1),(58,1)}
        36:{1,2,4,5,7}:{(17,1),(18,1),(21,1),(54,1),(56,1),(57,1),(58,1),(97,1),(99,1),(100,1),(126,1),(127,1)}
        37:{3,4,6,7}:{(25,1),(59,1),(65,1),(102,1),(109,1)}
        38:{1,2,5,6}:{(19,1),(26,1),(56,1),(60,1),(110,1),(134,1)}
        39:{1,2,5,6}:{(20,1),(27,1),(57,1),(61,1),(110,1),(134,1)}
        40:{3,5,6}:{(21,1),(58,1),(62,1),(71,1),(109,1),(133,1),(143,1)}
        41:{1,2,4,7}:{(22,1),(26,1),(56,1),(63,1),(99,1)}
        42:{1,2,4,7}:{(23,1),(27,1),(57,1),(64,1),(100,1)}
        43:{1,2,4,7}:{(24,1),(28,1),(65,1),(99,1),(100,1)}
        44:{1,2,5,7}:{(25,1),(59,1),(67,1),(126,1),(127,1)}
        45:{2,3,6}:{(26,1),(29,1),(63,1)}
        46:{1,3,6}:{(27,1),(30,1),(64,1)}
        47:{3,4,6}:{(28,1),(65,1),(71,1),(109,1)}
        48:{1,2,4,5}:{(28,1),(71,1),(104,1),(105,1),(110,1)}
        49:{1,2,3,5}:{(29,1),(30,1),(68,1),(72,1),(110,1)}
        50:{2,3,4}:{(29,1),(72,1)}
        51:{1,3,4}:{(30,1),(72,1)}
        52:{1,3,6,7}:{(31,1),(34,1),(73,1),(75,1),(124,1)}
        53:{2,3,6,7}:{(32,1),(35,1),(74,1),(75,1),(123,1)}
        54:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(36,1),(73,1),(74,1),(75,1),(76,1),(90,1),(112,1),(113,1),(140,1)}
        55:{3,5,6,7}:{(33,1),(75,1),(76,1),(81,1),(114,1),(145,1)}
        56:{1,2,5,7}:{(34,1),(38,1),(41,1),(73,1),(77,1)}
        57:{1,2,5,7}:{(35,1),(39,1),(42,1),(74,1),(78,1)}
        58:{3,5,7}:{(36,1),(40,1),(75,1),(79,1)}
        59:{3,5,7}:{(37,1),(44,1),(80,1),(81,1)}
        60:{2,3,5,6}:{(38,1),(40,1),(45,1),(77,1),(83,1),(92,1),(123,1),(137,1)}
        61:{1,3,5,6}:{(39,1),(40,1),(46,1),(78,1),(84,1),(93,1),(124,1),(138,1)}
        62:{3,4,6}:{(40,1),(79,1),(83,1),(84,1),(85,1)}
        63:{2,3,7}:{(41,1),(45,1)}
        64:{1,3,7}:{(42,1),(46,1)}
        65:{3,4,7}:{(43,1),(47,1),(89,1)}
        66:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(80,1),(89,1),(90,1),(117,1),(118,1),(122,1)}
        67:{1,2,5,6}:{(44,1),(81,1),(90,1),(137,1),(138,1)}
        68:{1,2,3,6}:{(45,1),(46,1),(49,1),(86,1),(91,1)}
        69:{2,3,4,6}:{(45,1),(47,1),(50,1),(83,1),(87,1),(91,1),(92,1),(120,1),(123,1)}
        70:{1,3,4,6}:{(46,1),(47,1),(51,1),(84,1),(88,1),(91,1),(93,1),(120,1),(124,1)}
        71:{3,5}:{(47,1),(48,1)}
        72:{1,2,4}:{(49,1),(50,1),(51,1)}
        73:{1,2,6,7}:{(52,1),(56,1),(94,1),(134,1)}
        74:{1,2,6,7}:{(53,1),(57,1),(95,1),(134,1)}
        75:{3,6,7}:{(54,1),(58,1),(109,1),(143,1)}
        76:{4,6,7}:{(55,1),(97,1),(102,1),(146,1)}
        77:{2,3,5,7}:{(56,1),(58,1),(60,1),(63,1),(94,1),(99,1),(126,1)}
        78:{1,3,5,7}:{(57,1),(58,1),(61,1),(64,1),(95,1),(100,1),(127,1)}
        79:{3,4,7}:{(58,1),(62,1),(99,1),(100,1)}
        80:{4,5,7}:{(59,1),(102,1)}
        81:{3,5,6}:{(59,1),(67,1),(102,1),(109,1)}
        82:{1,2,3,5,6}:{(60,1),(61,1),(68,1),(98,1),(103,1),(110,1),(133,1),(134,1),(142,1),(143,1)}
        83:{2,4,6}:{(60,1),(62,1),(99,1),(104,1)}
        84:{1,4,6}:{(61,1),(62,1),(100,1),(105,1)}
        85:{3,4,5}:{(62,1),(71,1),(104,1),(105,1),(133,1)}
        86:{1,2,3,7}:{(63,1),(64,1),(68,1),(106,1)}
        87:{2,3,4,7}:{(63,1),(65,1),(69,1),(99,1),(106,1),(107,1),(129,1)}
        88:{1,3,4,7}:{(64,1),(65,1),(70,1),(100,1),(106,1),(108,1),(129,1)}
        89:{3,5,7}:{(65,1),(66,1),(71,1),(109,1)}
        90:{1,2,4,6}:{(66,1),(67,1),(102,1),(109,1),(131,1),(132,1),(134,1)}
        91:{1,2,4,6}:{(68,1),(69,1),(70,1),(72,1),(106,1),(110,1),(134,1)}
        92:{2,3,5}:{(69,1),(71,1),(104,1),(110,1),(133,1)}
        93:{1,3,5}:{(70,1),(71,1),(105,1),(110,1),(133,1)}
        94:{2,3,6,7}:{(73,1),(75,1),(77,1),(112,1),(123,1)}
        95:{1,3,6,7}:{(74,1),(75,1),(78,1),(113,1),(124,1)}
        96:{3,4,6,7}:{(75,1),(76,1),(79,1),(112,1),(113,1),(114,1),(119,1)}
        97:{4,5,7}:{(76,1),(114,1),(115,1)}
        98:{1,2,3,5,7}:{(77,1),(78,1),(82,1),(86,1),(111,1),(116,1),(122,1),(136,1),(139,1)}
        99:{2,4,7}:{(77,1),(79,1),(83,1)}
       100:{1,4,7}:{(78,1),(79,1),(84,1)}
       101:{3,4,5,7}:{(79,1),(80,1),(85,1),(89,1),(114,1),(117,1),(118,1),(119,1),(139,1),(144,1)}
       102:{4,6}:{(80,1),(81,1)}
       103:{1,2,4,6}:{(82,1),(83,1),(84,1),(116,1),(120,1),(121,1)}
       104:{2,4,5}:{(83,1),(85,1),(92,1)}
       105:{1,4,5}:{(84,1),(85,1),(93,1)}
       106:{1,2,4,7}:{(86,1),(87,1),(88,1),(91,1),(122,1)}
       107:{2,3,5,7}:{(87,1),(89,1),(92,1),(117,1),(122,1),(123,1),(139,1)}
       108:{1,3,5,7}:{(88,1),(89,1),(93,1),(118,1),(122,1),(124,1),(139,1)}
       109:{3,6}:{(89,1),(90,1)}
       110:{1,2,5}:{(91,1),(92,1),(93,1)}
       111:{1,2,3,6,7}:{(94,1),(95,1),(98,1),(125,1),(134,1),(143,1)}
       112:{2,4,6,7}:{(94,1),(96,1),(99,1),(126,1),(131,1)}
       113:{1,4,6,7}:{(95,1),(96,1),(100,1),(127,1),(132,1)}
       114:{3,5,7}:{(96,1),(97,1),(126,1),(127,1),(128,1)}
       115:{4,5,6}:{(97,1),(102,1),(128,1),(146,1)}
       116:{1,2,4,7}:{(98,1),(99,1),(100,1),(103,1),(129,1)}
       117:{2,4,5,7}:{(99,1),(101,1),(104,1),(107,1),(126,1),(131,1)}
       118:{1,4,5,7}:{(100,1),(101,1),(105,1),(108,1),(127,1),(132,1)}
       119:{3,4,6}:{(101,1),(102,1),(109,1),(128,1),(131,1),(132,1),(143,1),(146,1)}
       120:{3,4,6}:{(103,1),(129,1),(133,1),(143,1)}
       121:{1,2,4,5}:{(103,1),(104,1),(105,1),(110,1),(133,1)}
       122:{1,2,5,7}:{(106,1),(107,1),(108,1),(110,1),(134,1)}
       123:{2,3,6}:{(107,1),(109,1),(131,1),(134,1),(143,1)}
       124:{1,3,6}:{(108,1),(109,1),(132,1),(134,1),(143,1)}
       125:{1,2,4,6,7}:{(111,1),(112,1),(113,1),(116,1),(135,1),(136,1),(140,1)}
       126:{2,5,7}:{(112,1),(114,1),(137,1)}
       127:{1,5,7}:{(113,1),(114,1),(138,1)}
       128:{3,5,6}:{(114,1),(115,1),(119,1),(137,1),(138,1)}
       129:{3,4,7}:{(116,1),(120,1),(139,1)}
       130:{1,2,4,5,7}:{(116,1),(117,1),(118,1),(121,1),(122,1),(136,1),(139,1),(140,1),(144,1)}
       131:{2,4,6}:{(117,1),(119,1),(123,1),(137,1)}
       132:{1,4,6}:{(118,1),(119,1),(124,1),(138,1)}
       133:{3,5}:{(120,1),(121,1)}
       134:{1,2,6}:{(122,1),(123,1),(124,1)}
       135:{3,4,6,7}:{(125,1),(129,1),(141,1),(143,1),(146,1)}
       136:{1,2,5,7}:{(125,1),(126,1),(127,1),(141,1),(142,1)}
       137:{2,5,6}:{(126,1),(128,1),(131,1)}
       138:{1,5,6}:{(127,1),(128,1),(132,1)}
       139:{3,5,7}:{(129,1),(130,1),(133,1),(143,1)}
       140:{1,2,4,6}:{(130,1),(131,1),(132,1),(134,1),(142,1),(143,1),(146,1)}
       141:{3,5,7}:{(135,1),(136,1),(144,1),(145,1)}
       142:{1,2,5,6}:{(136,1),(137,1),(138,1),(140,1),(145,1)}
       143:{3,6}:{(139,1),(140,1)}
       144:{4,5,7}:{(141,1),(146,1)}
       145:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

1981 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(78,1),(79,1),(80,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(13,1),(14,1),(17,1),(41,1),(47,1),(48,1),(49,1),(78,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(21,1),(24,1),(58,1),(68,1),(69,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(93,1),(94,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(64,1),(65,1)}
         5:{3,4,6,7}:{(3,1),(10,1),(11,1),(36,1),(41,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(11,1),(83,1),(84,1)}
         7:{1,2,5,7}:{(3,1),(10,1),(13,1),(100,1),(101,1)}
         8:{3,4,6}:{(4,1),(11,1),(17,1),(41,1)}
         9:{1,2,4,5}:{(4,1),(17,1),(44,1),(45,1),(47,1)}
        10:{3,5,7}:{(5,1),(7,1),(19,1),(20,1)}
        11:{3,4,7}:{(6,1),(8,1),(24,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(19,1),(24,1),(25,1),(54,1),(55,1),(58,1)}
        13:{1,2,5,6}:{(7,1),(20,1),(25,1),(88,1),(89,1)}
        14:{1,2,3,6}:{(21,1),(27,1),(29,1),(96,1)}
        15:{2,3,4,6}:{(8,1),(22,1),(29,1),(30,1),(59,1),(62,1),(64,1),(86,1),(96,1)}
        16:{1,3,4,6}:{(8,1),(23,1),(29,1),(31,1),(60,1),(62,1),(65,1),(86,1),(96,1)}
        17:{3,5}:{(8,1),(9,1)}
        18:{1,2,4,5,6}:{(9,1),(25,1),(32,1),(33,1),(52,1),(64,1),(65,1),(67,1),(88,1),(89,1)}
        19:{4,5,7}:{(10,1),(36,1)}
        20:{3,5,6}:{(10,1),(13,1),(36,1),(41,1)}
        21:{1,2,3,7}:{(14,1),(38,1),(104,1)}
        22:{2,3,4,7}:{(11,1),(15,1),(38,1),(39,1),(73,1),(83,1),(104,1)}
        23:{1,3,4,7}:{(11,1),(16,1),(38,1),(40,1),(73,1),(84,1),(104,1)}
        24:{3,5,7}:{(11,1),(12,1),(17,1),(41,1)}
        25:{1,2,4,6}:{(12,1),(13,1),(36,1),(41,1),(75,1),(76,1),(78,1)}
        26:{1,2,5,6,7}:{(13,1),(37,1),(42,1),(100,1),(101,1)}
        27:{1,2,3,5}:{(14,1),(43,1),(47,1),(81,1)}
        28:{3,4,5}:{(17,1),(44,1),(45,1),(46,1),(81,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(16,1),(38,1),(43,1),(47,1),(78,1)}
        30:{2,3,5}:{(15,1),(17,1),(44,1),(47,1),(81,1),(98,1)}
        31:{1,3,5}:{(16,1),(17,1),(45,1),(47,1),(81,1),(98,1)}
        32:{3,5,6}:{(17,1),(18,1),(41,1),(46,1),(50,1)}
        33:{1,2,4,5,7}:{(18,1),(42,1),(50,1),(72,1),(83,1),(84,1),(85,1),(100,1),(101,1)}
        34:{1,2,3,5,7}:{(21,1),(27,1),(51,1),(53,1),(58,1),(87,1),(91,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(28,1),(54,1),(55,1),(56,1),(66,1),(90,1),(91,1),(105,1),(111,1)}
        36:{4,6}:{(19,1),(20,1)}
        37:{3,5,6,7}:{(20,1),(26,1),(57,1),(61,1),(90,1)}
        38:{1,2,4,7}:{(21,1),(22,1),(23,1),(29,1),(58,1)}
        39:{2,3,5,7}:{(22,1),(24,1),(30,1),(54,1),(58,1),(59,1),(91,1)}
        40:{1,3,5,7}:{(23,1),(24,1),(31,1),(55,1),(58,1),(60,1),(91,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,2,4,6,7}:{(25,1),(26,1),(33,1),(57,1),(61,1),(93,1),(94,1),(95,1)}
        43:{1,2,4}:{(27,1),(62,1)}
        44:{2,4,5}:{(28,1),(30,1),(64,1),(105,1)}
        45:{1,4,5}:{(28,1),(31,1),(65,1),(105,1)}
        46:{3,4,6}:{(28,1),(32,1),(64,1),(65,1),(66,1),(96,1)}
        47:{1,2,5}:{(29,1),(30,1),(31,1)}
        48:{2,3,5,6}:{(30,1),(32,1),(59,1),(64,1),(67,1),(68,1),(88,1),(96,1),(106,1)}
        49:{1,3,5,6}:{(31,1),(32,1),(60,1),(65,1),(67,1),(69,1),(89,1),(96,1),(106,1)}
        50:{3,5,7}:{(32,1),(33,1),(61,1),(66,1)}
        51:{1,2,3,6}:{(34,1),(70,1),(78,1),(102,1)}
        52:{4,5,6}:{(36,1),(71,1),(72,1),(109,1)}
        53:{1,2,4,7}:{(34,1),(43,1),(70,1),(73,1)}
        54:{2,4,5,7}:{(35,1),(39,1),(44,1),(75,1),(83,1),(100,1)}
        55:{1,4,5,7}:{(35,1),(40,1),(45,1),(76,1),(84,1),(101,1)}
        56:{3,4,6}:{(35,1),(36,1),(41,1),(71,1),(75,1),(76,1),(102,1),(109,1)}
        57:{4,6,7}:{(36,1),(37,1),(72,1)}
        58:{1,2,5,7}:{(38,1),(39,1),(40,1),(47,1),(78,1)}
        59:{2,3,6}:{(39,1),(41,1),(75,1),(78,1),(102,1)}
        60:{1,3,6}:{(40,1),(41,1),(76,1),(78,1),(102,1)}
        61:{3,6,7}:{(41,1),(42,1),(50,1)}
        62:{3,4}:{(43,1),(81,1)}
        63:{1,2,4,5}:{(43,1),(44,1),(45,1),(47,1),(81,1),(82,1)}
        64:{2,4,6}:{(44,1),(46,1),(48,1),(83,1),(109,1)}
        65:{1,4,6}:{(45,1),(46,1),(49,1),(84,1),(109,1)}
        66:{3,4,7}:{(46,1),(50,1),(83,1),(84,1),(104,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(49,1),(78,1),(82,1),(85,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(79,1),(83,1),(85,1),(100,1),(104,1),(110,1)}
        69:{1,3,5,7}:{(49,1),(50,1),(80,1),(84,1),(85,1),(101,1),(104,1),(110,1)}
        70:{1,2,4,6}:{(51,1),(53,1),(86,1),(87,1)}
        71:{3,5,6}:{(52,1),(56,1),(88,1),(89,1),(90,1)}
        72:{4,5,7}:{(52,1),(57,1),(90,1),(111,1)}
        73:{3,4,7}:{(53,1),(62,1),(86,1),(91,1),(111,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(58,1),(63,1),(87,1),(91,1),(92,1),(97,1),(105,1),(107,1),(111,1)}
        75:{2,4,6}:{(54,1),(56,1),(59,1),(88,1)}
        76:{1,4,6}:{(55,1),(56,1),(60,1),(89,1)}
        77:{3,4,6,7}:{(56,1),(57,1),(61,1),(66,1),(90,1),(93,1),(94,1),(108,1),(111,1)}
        78:{1,2,6}:{(58,1),(59,1),(60,1)}
        79:{2,3,6,7}:{(59,1),(61,1),(68,1),(93,1),(95,1),(108,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(69,1),(94,1),(95,1),(108,1)}
        81:{3,5}:{(62,1),(63,1),(96,1)}
        82:{1,2,4,6}:{(63,1),(64,1),(65,1),(67,1),(96,1),(97,1)}
        83:{2,4,7}:{(64,1),(66,1),(68,1),(111,1)}
        84:{1,4,7}:{(65,1),(66,1),(69,1),(111,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(95,1),(97,1)}
        86:{3,4,6}:{(70,1),(73,1),(98,1),(102,1),(109,1)}
        87:{1,2,5}:{(70,1),(98,1)}
        88:{2,5,6}:{(71,1),(75,1),(100,1)}
        89:{1,5,6}:{(71,1),(76,1),(101,1)}
        90:{3,5,7}:{(71,1),(72,1),(77,1),(100,1),(101,1)}
        91:{3,5,7}:{(73,1),(74,1),(81,1),(98,1),(102,1),(104,1)}
        92:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(99,1),(102,1),(109,1)}
        93:{2,4,6,7}:{(75,1),(77,1),(79,1),(83,1),(100,1)}
        94:{1,4,6,7}:{(76,1),(77,1),(80,1),(84,1),(101,1)}
        95:{1,2,6,7}:{(78,1),(79,1),(80,1),(85,1)}
        96:{3,6}:{(81,1),(82,1),(104,1)}
        97:{1,2,4,7}:{(82,1),(83,1),(84,1),(85,1),(104,1)}
        98:{3,5}:{(86,1),(87,1),(105,1)}
        99:{1,2,5,6}:{(87,1),(88,1),(89,1),(92,1),(106,1),(107,1)}
       100:{2,5,7}:{(88,1),(90,1),(93,1)}
       101:{1,5,7}:{(89,1),(90,1),(94,1)}
       102:{3,6}:{(91,1),(92,1)}
       103:{1,2,4,6,7}:{(92,1),(93,1),(94,1),(95,1),(97,1),(107,1),(108,1),(111,1)}
       104:{3,7}:{(96,1),(97,1)}
       105:{4,5}:{(98,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(102,1),(109,1),(110,1)}
       107:{1,2,5,7}:{(99,1),(100,1),(101,1),(103,1),(110,1)}
       108:{3,6,7}:{(102,1),(103,1),(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

1982 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(21,1),(23,1),(24,1),(27,1),(28,1),(50,1),(80,1),(81,1),(111,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(36,1),(37,1),(99,1),(100,1),(125,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(19,1),(20,1),(21,1),(47,1),(87,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(25,1),(26,1),(27,1),(135,1)}
         4:{3,4,6,7}:{(1,1),(7,1),(22,1),(50,1),(82,1),(134,1)}
         5:{3,5,6,7}:{(2,1),(10,1),(13,1),(65,1),(105,1)}
         6:{1,2,4,5,6}:{(3,1),(13,1),(36,1),(37,1),(38,1)}
         7:{3,5,7}:{(3,1),(4,1),(13,1),(138,1)}
         8:{1,3,4,6,7}:{(4,1),(15,1),(17,1),(36,1),(67,1),(72,1),(76,1),(100,1),(108,1)}
         9:{2,3,4,6,7}:{(4,1),(16,1),(17,1),(37,1),(66,1),(72,1),(76,1),(99,1),(107,1)}
        10:{3,4,6,7}:{(5,1),(18,1),(19,1),(20,1),(22,1),(50,1),(82,1),(118,1)}
        11:{1,3,5,6,7}:{(5,1),(19,1),(21,1),(23,1),(45,1),(50,1),(81,1),(121,1)}
        12:{2,3,5,6,7}:{(5,1),(20,1),(21,1),(24,1),(46,1),(50,1),(80,1),(120,1)}
        13:{3,5,6}:{(6,1),(7,1),(22,1)}
        14:{3,4,5,7}:{(7,1),(22,1),(25,1),(26,1),(58,1),(82,1),(114,1)}
        15:{1,3,5,7}:{(7,1),(8,1),(23,1),(25,1),(27,1),(58,1),(124,1)}
        16:{2,3,5,7}:{(7,1),(9,1),(24,1),(26,1),(27,1),(58,1),(123,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(27,1),(28,1),(54,1),(59,1),(122,1)}
        18:{3,4,5,7}:{(10,1),(29,1),(30,1),(31,1),(65,1)}
        19:{1,4,6,7}:{(10,1),(11,1),(30,1),(36,1),(100,1),(131,1)}
        20:{2,4,6,7}:{(10,1),(12,1),(31,1),(37,1),(99,1),(130,1)}
        21:{1,2,5,6,7}:{(11,1),(12,1),(34,1),(38,1),(63,1),(64,1),(132,1)}
        22:{3,4,6}:{(13,1),(14,1),(36,1),(37,1),(72,1)}
        23:{1,3,5,6}:{(13,1),(15,1),(36,1),(38,1),(72,1)}
        24:{2,3,5,6}:{(13,1),(16,1),(37,1),(38,1),(72,1)}
        25:{1,4,5,7}:{(14,1),(15,1),(36,1),(100,1),(127,1)}
        26:{2,4,5,7}:{(14,1),(16,1),(37,1),(99,1),(126,1)}
        27:{1,2,5,7}:{(15,1),(16,1),(17,1),(38,1),(133,1)}
        28:{1,2,3,6,7}:{(17,1),(42,1),(66,1),(67,1),(72,1),(106,1)}
        29:{3,4,5,6}:{(18,1),(22,1),(43,1),(44,1),(79,1),(114,1),(118,1)}
        30:{1,4,5,7}:{(18,1),(19,1),(43,1),(45,1)}
        31:{2,4,5,7}:{(18,1),(20,1),(44,1),(46,1)}
        32:{1,3,4,6,7}:{(19,1),(45,1),(48,1),(50,1),(52,1),(82,1)}
        33:{2,3,4,6,7}:{(20,1),(46,1),(49,1),(50,1),(53,1),(82,1)}
        34:{1,2,4,6,7}:{(19,1),(20,1),(21,1),(47,1),(50,1),(54,1),(137,1)}
        35:{1,2,3,5,6,7}:{(21,1),(50,1),(51,1),(55,1),(80,1),(81,1),(83,1),(86,1),(119,1),(120,1),(121,1)}
        36:{1,4,6}:{(22,1),(23,1),(25,1)}
        37:{2,4,6}:{(22,1),(24,1),(26,1)}
        38:{1,2,5,6}:{(23,1),(24,1),(27,1),(54,1)}
        39:{1,3,4,5,7}:{(25,1),(45,1),(52,1),(56,1),(58,1),(82,1),(94,1),(114,1),(117,1),(124,1),(136,1)}
        40:{2,3,4,5,7}:{(26,1),(46,1),(53,1),(57,1),(58,1),(82,1),(93,1),(114,1),(116,1),(123,1),(136,1)}
        41:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(54,1),(58,1),(59,1),(91,1)}
        42:{1,2,3,5,7}:{(27,1),(28,1),(55,1),(58,1),(59,1),(80,1),(81,1)}
        43:{1,4,5,6}:{(29,1),(30,1),(36,1),(60,1),(127,1),(131,1)}
        44:{2,4,5,6}:{(29,1),(31,1),(37,1),(61,1),(126,1),(130,1)}
        45:{1,3,5,7}:{(30,1),(32,1),(60,1),(63,1),(65,1)}
        46:{2,3,5,7}:{(31,1),(33,1),(61,1),(64,1),(65,1)}
        47:{1,2,4,5,7}:{(30,1),(31,1),(34,1),(62,1),(63,1),(64,1),(65,1),(99,1),(100,1)}
        48:{1,2,4,6,7}:{(32,1),(63,1),(66,1),(70,1),(99,1)}
        49:{1,2,4,6,7}:{(33,1),(64,1),(67,1),(71,1),(100,1)}
        50:{3,6,7}:{(34,1),(65,1),(72,1),(139,1)}
        51:{1,2,4,6,7}:{(35,1),(68,1),(69,1),(73,1),(99,1),(100,1),(130,1),(131,1)}
        52:{1,3,4,6}:{(36,1),(39,1),(60,1),(70,1),(72,1),(97,1),(131,1),(139,1)}
        53:{2,3,4,6}:{(37,1),(40,1),(61,1),(71,1),(72,1),(97,1),(130,1),(139,1)}
        54:{1,2,4,6}:{(36,1),(37,1),(38,1),(41,1),(72,1)}
        55:{1,2,3,5,6}:{(38,1),(42,1),(72,1),(73,1),(95,1),(96,1),(106,1),(109,1),(133,1)}
        56:{1,2,4,5,7}:{(39,1),(63,1),(70,1),(74,1),(99,1),(110,1),(126,1),(133,1)}
        57:{1,2,4,5,7}:{(40,1),(64,1),(71,1),(75,1),(100,1),(110,1),(127,1),(133,1)}
        58:{3,5,7}:{(41,1),(72,1),(76,1),(109,1)}
        59:{1,2,4,7}:{(42,1),(73,1),(76,1),(99,1),(100,1)}
        60:{1,3,5,6}:{(43,1),(45,1),(52,1),(77,1),(79,1),(124,1)}
        61:{2,3,5,6}:{(44,1),(46,1),(53,1),(78,1),(79,1),(123,1)}
        62:{1,2,4,5,6}:{(43,1),(44,1),(47,1),(54,1),(77,1),(78,1),(79,1),(91,1),(112,1),(113,1),(135,1),(137,1)}
        63:{1,2,5,7}:{(45,1),(48,1),(77,1),(80,1)}
        64:{1,2,5,7}:{(46,1),(49,1),(78,1),(81,1)}
        65:{3,5,7}:{(47,1),(50,1),(79,1),(82,1)}
        66:{2,3,6,7}:{(48,1),(50,1),(80,1),(88,1)}
        67:{1,3,6,7}:{(49,1),(50,1),(81,1),(89,1)}
        68:{3,4,6,7}:{(50,1),(51,1),(82,1),(86,1),(90,1),(118,1)}
        69:{1,2,4,5,7}:{(51,1),(86,1),(87,1),(91,1),(116,1),(117,1),(119,1)}
        70:{1,2,4,6}:{(52,1),(56,1),(77,1),(88,1),(112,1)}
        71:{1,2,4,6}:{(53,1),(57,1),(78,1),(89,1),(113,1)}
        72:{3,6}:{(54,1),(58,1)}
        73:{1,2,4,6}:{(55,1),(59,1),(90,1),(91,1),(112,1),(113,1)}
        74:{2,3,5,7}:{(56,1),(58,1),(88,1),(93,1),(123,1),(136,1)}
        75:{1,3,5,7}:{(57,1),(58,1),(89,1),(94,1),(124,1),(136,1)}
        76:{3,4,7}:{(58,1),(59,1),(90,1)}
        77:{1,2,5,6}:{(60,1),(63,1),(70,1),(95,1),(133,1)}
        78:{1,2,5,6}:{(61,1),(64,1),(71,1),(96,1),(133,1)}
        79:{3,5,6}:{(62,1),(65,1),(72,1),(97,1),(109,1),(138,1),(139,1)}
        80:{2,3,5,7}:{(63,1),(65,1),(66,1),(95,1),(99,1)}
        81:{1,3,5,7}:{(64,1),(65,1),(67,1),(96,1),(100,1)}
        82:{3,4,7}:{(65,1),(97,1),(99,1),(100,1)}
        83:{1,2,3,6,7}:{(66,1),(67,1),(98,1),(102,1),(106,1),(139,1)}
        84:{2,3,4,6,7}:{(66,1),(68,1),(99,1),(102,1),(103,1),(107,1),(128,1),(130,1),(139,1)}
        85:{1,3,4,6,7}:{(67,1),(68,1),(100,1),(102,1),(104,1),(108,1),(128,1),(131,1),(139,1)}
        86:{3,5,7}:{(68,1),(69,1),(105,1),(109,1)}
        87:{1,2,4,5,6}:{(69,1),(105,1),(130,1),(131,1),(132,1)}
        88:{2,3,6}:{(70,1),(72,1),(74,1),(139,1)}
        89:{1,3,6}:{(71,1),(72,1),(75,1),(139,1)}
        90:{3,4,6}:{(72,1),(73,1),(76,1),(109,1)}
        91:{1,2,4,5}:{(73,1),(109,1),(126,1),(127,1),(133,1)}
        92:{1,2,3,5,7}:{(74,1),(75,1),(106,1),(110,1),(133,1)}
        93:{2,3,4,7}:{(74,1),(76,1),(99,1),(107,1),(110,1),(128,1)}
        94:{1,3,4,7}:{(75,1),(76,1),(100,1),(108,1),(110,1),(128,1)}
        95:{2,3,5,6}:{(77,1),(79,1),(80,1),(88,1),(112,1),(123,1)}
        96:{1,3,5,6}:{(78,1),(79,1),(81,1),(89,1),(113,1),(124,1)}
        97:{3,4,6}:{(79,1),(82,1),(112,1),(113,1),(114,1)}
        98:{1,2,3,5,7}:{(80,1),(81,1),(83,1),(111,1),(115,1),(119,1),(136,1)}
        99:{2,4,7}:{(80,1),(82,1),(112,1)}
       100:{1,4,7}:{(81,1),(82,1),(113,1)}
       101:{3,4,5,7}:{(82,1),(86,1),(114,1),(116,1),(117,1),(118,1),(136,1)}
       102:{1,2,4,6,7}:{(83,1),(84,1),(85,1),(115,1),(119,1),(122,1),(137,1)}
       103:{2,3,5,7}:{(84,1),(86,1),(116,1),(119,1),(120,1),(123,1),(136,1)}
       104:{1,3,5,7}:{(85,1),(86,1),(117,1),(119,1),(121,1),(124,1),(136,1)}
       105:{3,5,6}:{(86,1),(87,1),(118,1)}
       106:{1,2,3,6}:{(88,1),(89,1),(92,1),(122,1)}
       107:{2,3,4,6}:{(88,1),(90,1),(93,1),(112,1),(122,1),(123,1),(134,1)}
       108:{1,3,4,6}:{(89,1),(90,1),(94,1),(113,1),(122,1),(124,1),(134,1)}
       109:{3,5}:{(90,1),(91,1)}
       110:{1,2,4,7}:{(92,1),(93,1),(94,1),(122,1)}
       111:{1,2,3,5,6}:{(95,1),(96,1),(98,1),(106,1),(125,1),(132,1),(133,1),(138,1),(139,1)}
       112:{2,4,6}:{(95,1),(97,1),(99,1),(126,1)}
       113:{1,4,6}:{(96,1),(97,1),(100,1),(127,1)}
       114:{3,4,5}:{(97,1),(109,1),(126,1),(127,1),(138,1)}
       115:{1,2,4,7}:{(98,1),(99,1),(100,1),(125,1),(128,1)}
       116:{2,4,5,7}:{(99,1),(101,1),(103,1),(126,1),(130,1)}
       117:{1,4,5,7}:{(100,1),(101,1),(104,1),(127,1),(131,1)}
       118:{3,4,6}:{(101,1),(105,1),(130,1),(131,1),(139,1)}
       119:{1,2,5,7}:{(102,1),(103,1),(104,1),(132,1),(133,1)}
       120:{2,3,5,6}:{(103,1),(105,1),(130,1),(132,1),(139,1)}
       121:{1,3,5,6}:{(104,1),(105,1),(131,1),(132,1),(139,1)}
       122:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(133,1)}
       123:{2,3,5}:{(107,1),(109,1),(126,1),(133,1),(138,1)}
       124:{1,3,5}:{(108,1),(109,1),(127,1),(133,1),(138,1)}
       125:{1,2,4,6}:{(111,1),(112,1),(113,1),(115,1),(134,1),(135,1)}
       126:{2,4,5}:{(112,1),(114,1),(123,1)}
       127:{1,4,5}:{(113,1),(114,1),(124,1)}
       128:{3,4,7}:{(115,1),(134,1),(136,1)}
       129:{1,2,4,5,7}:{(115,1),(116,1),(117,1),(119,1),(135,1),(136,1),(137,1)}
       130:{2,4,6}:{(116,1),(118,1),(120,1)}
       131:{1,4,6}:{(117,1),(118,1),(121,1)}
       132:{1,2,5,6}:{(119,1),(120,1),(121,1),(137,1)}
       133:{1,2,5}:{(122,1),(123,1),(124,1)}
       134:{3,4,6}:{(125,1),(128,1),(138,1),(139,1)}
       135:{1,2,4,5}:{(125,1),(126,1),(127,1),(133,1),(138,1)}
       136:{3,5,7}:{(128,1),(129,1),(138,1),(139,1)}
       137:{1,2,4,6}:{(129,1),(130,1),(131,1),(132,1),(139,1)}
       138:{3,5}:{(134,1),(135,1)}
       139:{3,6}:{(136,1),(137,1)}

1983 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(18,1),(37,1),(38,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(24,1),(47,1)}
        2:{1,2,4,5,7}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,5,6}:{(1,1),(5,1),(12,1),(34,1),(37,1)}
        4:{3,4,5,7}:{(2,1),(10,1),(24,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(10,1)}
        6:{1,2,3,5,6,7}:{(3,1),(11,1),(24,1),(40,1),(41,1),(47,1),(48,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(30,1),(31,1),(34,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(16,1),(35,1),(52,1),(62,1)}
        9:{1,3,4,5,7}:{(4,1),(15,1),(17,1),(36,1),(52,1),(62,1)}
       10:{3,4,6}:{(4,1),(5,1),(12,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(13,1),(18,1),(49,1),(50,1)}
       12:{3,5,6}:{(7,1),(10,1),(24,1)}
       13:{1,2,4,5,7}:{(7,1),(11,1),(24,1),(43,1),(44,1),(47,1)}
       14:{1,2,3,4,7}:{(21,1),(25,1),(60,1)}
       15:{1,2,4,5,7}:{(8,1),(9,1),(25,1),(26,1),(45,1),(47,1),(60,1)}
       16:{2,3,4,6}:{(8,1),(10,1),(22,1),(26,1),(58,1)}
       17:{1,3,4,6}:{(9,1),(10,1),(23,1),(26,1),(58,1)}
       18:{3,4,6,7}:{(10,1),(11,1),(24,1)}
       19:{1,2,4,5,6,7}:{(13,1),(29,1),(49,1),(50,1),(51,1)}
       20:{3,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(53,1)}
       21:{1,2,3,4,6}:{(14,1),(33,1),(37,1),(55,1)}
       22:{2,3,5,6}:{(12,1),(16,1),(30,1),(34,1),(35,1),(53,1)}
       23:{1,3,5,6}:{(12,1),(17,1),(31,1),(34,1),(36,1),(53,1)}
       24:{3,5,7}:{(12,1),(13,1),(18,1)}
       25:{1,2,3,5,7}:{(14,1),(15,1),(33,1),(37,1)}
       26:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(37,1)}
       27:{2,3,4,6,7}:{(16,1),(18,1),(35,1),(38,1),(49,1),(61,1),(62,1)}
       28:{1,3,4,6,7}:{(17,1),(18,1),(36,1),(38,1),(50,1),(61,1),(62,1)}
       29:{3,5,6,7}:{(19,1),(24,1),(39,1)}
       30:{2,4,5,6}:{(20,1),(22,1),(43,1)}
       31:{1,4,5,6}:{(20,1),(23,1),(44,1)}
       32:{3,4,5,7}:{(20,1),(24,1),(39,1),(43,1),(44,1),(59,1)}
       33:{1,2,3,5}:{(21,1),(45,1)}
       34:{1,2,5,6}:{(22,1),(23,1),(26,1),(47,1)}
       35:{2,3,5,7}:{(22,1),(24,1),(27,1),(43,1),(47,1),(59,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(28,1),(44,1),(47,1),(59,1)}
       37:{1,2,3,6}:{(25,1),(26,1)}
       38:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(47,1),(48,1),(60,1)}
       39:{3,4,6,7}:{(29,1),(32,1),(49,1),(50,1),(61,1)}
       40:{2,3,5,6,7}:{(29,1),(35,1),(49,1),(51,1),(61,1)}
       41:{1,3,5,6,7}:{(29,1),(36,1),(50,1),(51,1),(61,1)}
       42:{1,2,4,5,6}:{(30,1),(31,1),(34,1),(53,1),(54,1),(55,1)}
       43:{2,4,5,7}:{(30,1),(32,1),(35,1),(49,1)}
       44:{1,4,5,7}:{(31,1),(32,1),(36,1),(50,1)}
       45:{1,2,4,5}:{(33,1),(52,1),(55,1)}
       46:{1,2,3,5,6}:{(33,1),(34,1),(37,1),(53,1),(55,1),(56,1)}
       47:{1,2,5,7}:{(34,1),(35,1),(36,1),(38,1)}
       48:{1,2,3,6,7}:{(37,1),(38,1),(56,1),(61,1)}
       49:{2,4,6,7}:{(39,1),(40,1),(43,1)}
       50:{1,4,6,7}:{(39,1),(41,1),(44,1)}
       51:{1,2,5,6,7}:{(40,1),(41,1),(47,1),(57,1)}
       52:{3,4,5}:{(45,1),(58,1)}
       53:{3,5,6}:{(42,1),(58,1),(59,1)}
       54:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(47,1),(57,1),(59,1),(60,1)}
       55:{1,2,4,6}:{(45,1),(46,1),(58,1),(60,1)}
       56:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(59,1),(60,1)}
       57:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(54,1),(61,1)}
       58:{3,4,6}:{(52,1),(53,1),(55,1),(62,1)}
       59:{3,5,7}:{(53,1),(54,1),(61,1),(62,1)}
       60:{1,2,4,7}:{(55,1),(56,1),(62,1)}
       61:{3,6,7}:{(57,1),(59,1)}
       62:{3,4,7}:{(58,1),(59,1),(60,1)}

1984 :   0:{2,3,4,5,7}:{(2,1),(3,1),(22,1),(36,1),(91,1),(140,1),(144,1),(147,1),(184,1),(189,1)}
         1:{1,3,4,5,7}:{(4,1),(5,1),(28,1),(30,1),(83,1),(141,1),(146,1),(150,1),(184,1),(191,1)}
         2:{2,3,4,6}:{(0,1),(10,1),(11,1),(113,1),(173,1),(200,1),(202,1)}
         3:{1,2,4,5,7}:{(0,1),(11,1),(12,1),(44,1),(49,1),(105,1),(110,1),(114,1)}
         4:{1,3,4,6}:{(1,1),(15,1),(16,1),(120,1),(169,1),(200,1),(203,1)}
         5:{1,2,4,5,7}:{(1,1),(16,1),(17,1),(44,1),(57,1),(105,1),(117,1),(121,1)}
         6:{2,4,5,6,7}:{(18,1),(64,1),(180,1)}
         7:{1,4,5,6,7}:{(19,1),(66,1),(177,1)}
         8:{2,3,4,6,7}:{(2,1),(22,1),(23,1),(64,1),(123,1),(140,1),(175,1)}
         9:{3,4,5,6}:{(21,1),(24,1),(25,1),(81,1),(150,1),(192,1)}
        10:{2,3,5,6}:{(2,1),(22,1),(25,1),(26,1),(81,1),(91,1),(204,1)}
        11:{1,2,4,6}:{(2,1),(3,1),(26,1),(27,1),(82,1)}
        12:{1,3,5,7}:{(3,1),(27,1),(28,1),(83,1),(184,1)}
        13:{1,3,4,6,7}:{(4,1),(30,1),(31,1),(66,1),(126,1),(146,1),(178,1)}
        14:{3,4,5,6}:{(29,1),(32,1),(33,1),(89,1),(144,1),(190,1)}
        15:{1,3,5,6}:{(4,1),(30,1),(32,1),(34,1),(83,1),(89,1),(205,1)}
        16:{1,2,4,6}:{(4,1),(5,1),(34,1),(35,1),(90,1)}
        17:{2,3,5,7}:{(5,1),(35,1),(36,1),(91,1),(184,1)}
        18:{3,5,6,7}:{(6,1),(37,1),(38,1),(196,1)}
        19:{3,5,6,7}:{(7,1),(40,1),(42,1),(194,1)}
        20:{1,2,3,5,7}:{(12,1),(17,1),(43,1),(44,1),(105,1)}
        21:{3,4,5,7}:{(9,1),(37,1),(47,1),(48,1),(109,1)}
        22:{2,3,5,7}:{(8,1),(10,1),(48,1),(49,1),(109,1),(193,1)}
        23:{1,2,4,6,7}:{(8,1),(11,1),(49,1),(50,1),(110,1)}
        24:{1,4,5,6}:{(9,1),(47,1),(51,1),(174,1),(203,1)}
        25:{2,4,5,6}:{(9,1),(10,1),(48,1),(121,1),(173,1)}
        26:{1,2,5,6}:{(10,1),(11,1),(49,1),(53,1),(105,1)}
        27:{1,3,6}:{(11,1),(12,1),(200,1)}
        28:{1,3,4,7}:{(12,1),(44,1),(54,1),(110,1),(159,1)}
        29:{3,4,5,7}:{(14,1),(40,1),(55,1),(56,1),(116,1)}
        30:{1,3,5,7}:{(13,1),(15,1),(55,1),(57,1),(116,1),(195,1)}
        31:{1,2,4,6,7}:{(13,1),(16,1),(57,1),(58,1),(117,1)}
        32:{1,4,5,6}:{(14,1),(15,1),(55,1),(114,1),(169,1)}
        33:{2,4,5,6}:{(14,1),(56,1),(59,1),(170,1),(202,1)}
        34:{1,2,5,6}:{(15,1),(16,1),(57,1),(61,1),(105,1)}
        35:{2,3,6}:{(16,1),(17,1),(200,1)}
        36:{2,3,4,7}:{(17,1),(44,1),(62,1),(117,1),(159,1)}
        37:{3,4,6,7}:{(18,1),(21,1),(63,1),(64,1),(123,1),(192,1)}
        38:{1,5,6,7}:{(18,1),(63,1),(205,1)}
        39:{2,3,5,6,7}:{(18,1),(22,1),(64,1),(65,1),(123,1),(148,1)}
        40:{3,4,6,7}:{(19,1),(29,1),(66,1),(67,1),(126,1),(190,1)}
        41:{1,3,5,6,7}:{(19,1),(30,1),(66,1),(68,1),(126,1),(142,1)}
        42:{2,5,6,7}:{(19,1),(67,1),(204,1)}
        43:{1,2,3,6}:{(20,1),(27,1),(35,1),(73,1)}
        44:{1,2,4,7}:{(20,1),(28,1),(36,1),(73,1)}
        45:{1,3,4,5}:{(70,1),(74,1),(138,1),(144,1),(188,1)}
        46:{2,3,4,5}:{(71,1),(75,1),(137,1),(150,1),(187,1)}
        47:{1,4,5,7}:{(21,1),(24,1),(63,1),(76,1)}
        48:{2,4,5,7}:{(21,1),(22,1),(25,1),(64,1)}
        49:{1,2,5,7}:{(22,1),(23,1),(26,1),(78,1)}
        50:{1,3,6,7}:{(23,1),(27,1),(78,1),(123,1)}
        51:{1,3,5,6}:{(24,1),(70,1),(76,1),(80,1),(81,1),(188,1),(208,1)}
        52:{1,2,4,5,6}:{(24,1),(25,1),(26,1),(77,1),(80,1),(81,1),(82,1),(135,1),(143,1),(177,1),(185,1),(204,1)}
        53:{1,3,5,6}:{(26,1),(27,1),(78,1),(81,1),(82,1),(83,1)}
        54:{1,3,4,6}:{(27,1),(28,1),(73,1),(82,1),(83,1),(134,1)}
        55:{1,4,5,7}:{(29,1),(30,1),(32,1),(66,1)}
        56:{2,4,5,7}:{(29,1),(33,1),(67,1),(84,1)}
        57:{1,2,5,7}:{(30,1),(31,1),(34,1),(86,1)}
        58:{2,3,6,7}:{(31,1),(35,1),(86,1),(126,1)}
        59:{2,3,5,6}:{(33,1),(71,1),(84,1),(88,1),(89,1),(187,1),(207,1)}
        60:{1,2,4,5,6}:{(32,1),(33,1),(34,1),(85,1),(88,1),(89,1),(90,1),(135,1),(149,1),(180,1),(185,1),(205,1)}
        61:{2,3,5,6}:{(34,1),(35,1),(86,1),(89,1),(90,1),(91,1)}
        62:{2,3,4,6}:{(35,1),(36,1),(73,1),(90,1),(91,1),(134,1)}
        63:{1,4,6,7}:{(37,1),(38,1),(47,1),(92,1),(203,1)}
        64:{2,4,6,7}:{(37,1),(39,1),(48,1),(173,1)}
        65:{1,2,5,6,7}:{(38,1),(39,1),(49,1),(93,1),(94,1),(161,1),(193,1)}
        66:{1,4,6,7}:{(40,1),(41,1),(55,1),(169,1)}
        67:{2,4,6,7}:{(40,1),(42,1),(56,1),(95,1),(202,1)}
        68:{1,2,5,6,7}:{(41,1),(42,1),(57,1),(96,1),(97,1),(161,1),(195,1)}
        69:{1,2,3,6,7}:{(43,1),(50,1),(58,1),(100,1),(101,1),(151,1),(154,1),(200,1),(209,1)}
        70:{1,3,4,6}:{(45,1),(51,1),(98,1),(102,1),(113,1)}
        71:{2,3,4,6}:{(46,1),(59,1),(99,1),(103,1),(120,1)}
        72:{1,2,3,5,6}:{(43,1),(53,1),(61,1),(100,1),(104,1),(105,1),(112,1),(119,1),(161,1),(162,1),(165,1),(200,1),(201,1),(209,1)}
        73:{1,2,4,6}:{(43,1),(44,1),(54,1),(62,1),(105,1)}
        74:{1,2,4,5}:{(45,1),(102,1),(106,1),(166,1),(170,1),(201,1)}
        75:{1,2,4,5}:{(46,1),(103,1),(107,1),(166,1),(174,1),(201,1)}
        76:{1,3,5,7}:{(47,1),(51,1),(92,1),(98,1),(108,1),(109,1)}
        77:{1,2,4,5,7}:{(47,1),(48,1),(49,1),(52,1),(93,1),(108,1),(109,1),(110,1),(153,1),(167,1),(193,1)}
        78:{1,3,5,7}:{(49,1),(50,1),(53,1),(109,1),(110,1)}
        79:{1,3,4,6,7}:{(50,1),(54,1),(101,1),(110,1),(111,1),(152,1),(159,1),(169,1),(200,1)}
        80:{1,2,5,6}:{(51,1),(102,1),(108,1),(112,1),(201,1),(209,1)}
        81:{3,5,6}:{(52,1),(109,1),(113,1),(165,1),(200,1)}
        82:{1,4,6}:{(53,1),(110,1),(113,1),(114,1)}
        83:{1,3,5}:{(54,1),(105,1),(114,1),(165,1)}
        84:{2,3,5,7}:{(56,1),(59,1),(95,1),(99,1),(115,1),(116,1)}
        85:{1,2,4,5,7}:{(55,1),(56,1),(57,1),(60,1),(96,1),(115,1),(116,1),(117,1),(156,1),(171,1),(195,1)}
        86:{2,3,5,7}:{(57,1),(58,1),(61,1),(116,1),(117,1)}
        87:{2,3,4,6,7}:{(58,1),(62,1),(101,1),(117,1),(118,1),(155,1),(159,1),(173,1),(200,1)}
        88:{1,2,5,6}:{(59,1),(103,1),(115,1),(119,1),(201,1),(209,1)}
        89:{3,5,6}:{(60,1),(116,1),(120,1),(165,1),(200,1)}
        90:{2,4,6}:{(61,1),(117,1),(120,1),(121,1)}
        91:{2,3,5}:{(62,1),(105,1),(121,1),(165,1)}
        92:{1,3,6,7}:{(63,1),(76,1),(122,1),(123,1),(208,1)}
        93:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(77,1),(122,1),(123,1),(124,1),(175,1),(185,1)}
        94:{1,3,5,6,7}:{(65,1),(78,1),(123,1),(124,1),(142,1),(176,1)}
        95:{2,3,6,7}:{(67,1),(84,1),(125,1),(126,1),(207,1)}
        96:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(85,1),(125,1),(126,1),(127,1),(178,1),(185,1)}
        97:{2,3,5,6,7}:{(68,1),(86,1),(126,1),(127,1),(148,1),(179,1)}
        98:{1,3,4,7}:{(70,1),(76,1),(128,1),(140,1)}
        99:{2,3,4,7}:{(71,1),(84,1),(129,1),(146,1)}
       100:{1,2,3,5,7}:{(69,1),(72,1),(78,1),(86,1),(130,1),(131,1),(139,1),(145,1),(181,1),(184,1),(206,1)}
       101:{1,2,4,6,7}:{(69,1),(73,1),(79,1),(87,1),(130,1),(131,1),(175,1),(178,1),(185,1)}
       102:{1,2,4,6}:{(70,1),(74,1),(80,1),(128,1),(132,1),(143,1)}
       103:{1,2,4,6}:{(71,1),(75,1),(88,1),(129,1),(133,1),(149,1)}
       104:{1,2,4,6}:{(72,1),(82,1),(90,1),(130,1),(134,1),(135,1),(143,1),(149,1)}
       105:{1,2,5}:{(73,1),(83,1),(91,1)}
       106:{2,3,5}:{(74,1),(132,1),(137,1)}
       107:{1,3,5}:{(75,1),(133,1),(138,1)}
       108:{1,2,5,7}:{(76,1),(80,1),(122,1),(128,1),(139,1)}
       109:{3,5,7}:{(77,1),(81,1),(123,1),(140,1)}
       110:{1,4,7}:{(78,1),(82,1),(140,1)}
       111:{1,3,5,7}:{(79,1),(83,1),(131,1),(141,1),(142,1),(176,1),(184,1)}
       112:{2,3,5,6}:{(80,1),(81,1),(132,1),(139,1),(143,1),(187,1),(204,1),(207,1)}
       113:{3,4,6}:{(81,1),(82,1),(140,1),(143,1),(144,1)}
       114:{1,4,5}:{(82,1),(83,1),(144,1)}
       115:{1,2,5,7}:{(84,1),(88,1),(125,1),(129,1),(145,1)}
       116:{3,5,7}:{(85,1),(89,1),(126,1),(146,1)}
       117:{2,4,7}:{(86,1),(90,1),(146,1)}
       118:{2,3,5,7}:{(87,1),(91,1),(131,1),(147,1),(148,1),(179,1),(184,1)}
       119:{1,3,5,6}:{(88,1),(89,1),(133,1),(145,1),(149,1),(188,1),(205,1),(208,1)}
       120:{3,4,6}:{(89,1),(90,1),(146,1),(149,1),(150,1)}
       121:{2,4,5}:{(90,1),(91,1),(150,1)}
       122:{1,2,6,7}:{(92,1),(108,1),(151,1),(209,1)}
       123:{3,6,7}:{(93,1),(109,1),(200,1)}
       124:{1,4,6,7}:{(94,1),(110,1),(152,1),(153,1),(169,1)}
       125:{1,2,6,7}:{(95,1),(115,1),(154,1),(209,1)}
       126:{3,6,7}:{(96,1),(116,1),(200,1)}
       127:{2,4,6,7}:{(97,1),(117,1),(155,1),(156,1),(173,1)}
       128:{1,2,4,7}:{(98,1),(102,1),(108,1),(157,1),(167,1)}
       129:{1,2,4,7}:{(99,1),(103,1),(115,1),(158,1),(171,1)}
       130:{1,2,4,7}:{(100,1),(104,1),(110,1),(117,1),(159,1),(167,1),(171,1)}
       131:{1,2,5,7}:{(101,1),(105,1),(111,1),(118,1),(161,1),(193,1),(195,1)}
       132:{2,3,6}:{(102,1),(106,1),(157,1)}
       133:{1,3,6}:{(103,1),(107,1),(158,1)}
       134:{3,4,6}:{(104,1),(159,1),(165,1),(200,1)}
       135:{1,2,4,5}:{(104,1),(105,1),(114,1),(121,1),(165,1),(170,1),(174,1),(201,1)}
       136:{1,2,3,5}:{(106,1),(107,1),(162,1),(166,1),(201,1)}
       137:{2,3,4}:{(106,1),(166,1)}
       138:{1,3,4}:{(107,1),(166,1)}
       139:{2,3,5,7}:{(108,1),(109,1),(112,1),(151,1),(157,1),(167,1),(193,1)}
       140:{3,4,7}:{(109,1),(110,1),(113,1),(167,1)}
       141:{1,4,5,7}:{(110,1),(111,1),(114,1),(168,1),(169,1)}
       142:{1,3,5,6}:{(111,1),(161,1),(169,1),(194,1),(200,1)}
       143:{2,4,6}:{(112,1),(113,1),(167,1),(170,1)}
       144:{3,4,5}:{(113,1),(114,1),(165,1),(170,1)}
       145:{1,3,5,7}:{(115,1),(116,1),(119,1),(154,1),(158,1),(171,1),(195,1)}
       146:{3,4,7}:{(116,1),(117,1),(120,1),(171,1)}
       147:{2,4,5,7}:{(117,1),(118,1),(121,1),(172,1),(173,1)}
       148:{2,3,5,6}:{(118,1),(161,1),(173,1),(196,1),(200,1)}
       149:{1,4,6}:{(119,1),(120,1),(171,1),(174,1)}
       150:{3,4,5}:{(120,1),(121,1),(165,1),(174,1)}
       151:{2,3,6,7}:{(122,1),(123,1),(139,1),(175,1),(207,1)}
       152:{3,4,6,7}:{(123,1),(124,1),(140,1),(175,1),(176,1),(190,1)}
       153:{1,4,5,7}:{(124,1),(176,1),(177,1)}
       154:{1,3,6,7}:{(125,1),(126,1),(145,1),(178,1),(208,1)}
       155:{3,4,6,7}:{(126,1),(127,1),(146,1),(178,1),(179,1),(192,1)}
       156:{2,4,5,7}:{(127,1),(179,1),(180,1)}
       157:{2,3,7}:{(128,1),(132,1)}
       158:{1,3,7}:{(129,1),(133,1)}
       159:{3,4,7}:{(130,1),(134,1),(184,1)}
       160:{1,2,4,5,7}:{(130,1),(131,1),(135,1),(141,1),(147,1),(184,1),(185,1),(189,1),(191,1),(206,1)}
       161:{1,2,5,6}:{(131,1),(142,1),(148,1),(185,1),(204,1),(205,1)}
       162:{1,2,3,6}:{(132,1),(133,1),(136,1),(181,1),(186,1)}
       163:{2,3,4,6}:{(132,1),(134,1),(137,1),(143,1),(182,1),(186,1),(187,1),(207,1)}
       164:{1,3,4,6}:{(133,1),(134,1),(138,1),(149,1),(183,1),(186,1),(188,1),(208,1)}
       165:{3,5}:{(134,1),(135,1)}
       166:{1,2,4}:{(136,1),(137,1),(138,1)}
       167:{2,4,7}:{(139,1),(140,1),(143,1)}
       168:{3,4,5,7}:{(140,1),(141,1),(144,1),(176,1),(184,1),(189,1),(190,1)}
       169:{1,4,6}:{(141,1),(142,1),(190,1)}
       170:{2,4,5}:{(143,1),(144,1),(187,1)}
       171:{1,4,7}:{(145,1),(146,1),(149,1)}
       172:{3,4,5,7}:{(146,1),(147,1),(150,1),(179,1),(184,1),(191,1),(192,1)}
       173:{2,4,6}:{(147,1),(148,1),(192,1)}
       174:{1,4,5}:{(149,1),(150,1),(188,1)}
       175:{2,4,6,7}:{(151,1),(152,1),(167,1),(193,1),(202,1)}
       176:{3,5,7}:{(152,1),(153,1),(193,1),(194,1)}
       177:{1,4,5,6}:{(153,1),(169,1),(194,1)}
       178:{1,4,6,7}:{(154,1),(155,1),(171,1),(195,1),(203,1)}
       179:{3,5,7}:{(155,1),(156,1),(195,1),(196,1)}
       180:{2,4,5,6}:{(156,1),(173,1),(196,1)}
       181:{1,2,3,7}:{(157,1),(158,1),(162,1),(197,1)}
       182:{2,3,4,7}:{(157,1),(159,1),(163,1),(167,1),(197,1),(198,1)}
       183:{1,3,4,7}:{(158,1),(159,1),(164,1),(171,1),(197,1),(199,1)}
       184:{3,5,7}:{(159,1),(160,1),(165,1),(200,1)}
       185:{1,2,4,6}:{(160,1),(161,1),(169,1),(173,1),(200,1),(202,1),(203,1),(209,1)}
       186:{1,2,4,6}:{(162,1),(163,1),(164,1),(166,1),(197,1),(201,1),(209,1)}
       187:{2,3,5}:{(163,1),(165,1),(170,1),(201,1)}
       188:{1,3,5}:{(164,1),(165,1),(174,1),(201,1)}
       189:{2,4,5,7}:{(167,1),(168,1),(170,1),(193,1),(198,1),(202,1)}
       190:{3,4,6}:{(168,1),(169,1),(194,1),(200,1),(202,1)}
       191:{1,4,5,7}:{(171,1),(172,1),(174,1),(195,1),(199,1),(203,1)}
       192:{3,4,6}:{(172,1),(173,1),(196,1),(200,1),(203,1)}
       193:{2,5,7}:{(175,1),(176,1),(204,1)}
       194:{3,5,6}:{(176,1),(177,1),(190,1),(204,1)}
       195:{1,5,7}:{(178,1),(179,1),(205,1)}
       196:{3,5,6}:{(179,1),(180,1),(192,1),(205,1)}
       197:{1,2,4,7}:{(181,1),(182,1),(183,1),(186,1),(206,1)}
       198:{2,3,5,7}:{(182,1),(184,1),(187,1),(189,1),(206,1),(207,1)}
       199:{1,3,5,7}:{(183,1),(184,1),(188,1),(191,1),(206,1),(208,1)}
       200:{3,6}:{(184,1),(185,1)}
       201:{1,2,5}:{(186,1),(187,1),(188,1)}
       202:{2,4,6}:{(189,1),(190,1),(204,1),(207,1)}
       203:{1,4,6}:{(191,1),(192,1),(205,1),(208,1)}
       204:{2,5,6}:{(193,1),(194,1),(202,1)}
       205:{1,5,6}:{(195,1),(196,1),(203,1)}
       206:{1,2,5,7}:{(197,1),(198,1),(199,1),(201,1),(209,1)}
       207:{2,3,6}:{(198,1),(200,1),(202,1),(209,1)}
       208:{1,3,6}:{(199,1),(200,1),(203,1),(209,1)}
       209:{1,2,6}:{(206,1),(207,1),(208,1)}

1985 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(34,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(43,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(33,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(8,1),(20,1),(41,1),(42,1),(43,1),(45,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(20,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(28,1),(29,1),(33,1)}
        8:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(14,1),(47,1),(48,1)}
        9:{3,4,6}:{(5,1),(6,1),(13,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(31,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(32,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(38,1),(39,1),(43,1)}
       13:{3,5,6}:{(7,1),(9,1),(20,1)}
       14:{3,4,6,7}:{(8,1),(9,1),(20,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(21,1),(25,1),(57,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(22,1),(25,1),(57,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(43,1),(58,1),(59,1)}
       18:{3,4,5,6}:{(13,1),(27,1),(28,1),(29,1),(50,1)}
       19:{1,2,4,5,6,7}:{(12,1),(30,1),(47,1),(48,1),(51,1)}
       20:{3,5,7}:{(12,1),(13,1),(14,1)}
       21:{1,3,5,6}:{(13,1),(15,1),(28,1),(31,1),(33,1),(50,1)}
       22:{2,3,5,6}:{(13,1),(16,1),(29,1),(32,1),(33,1),(50,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(31,1),(34,1),(47,1),(60,1),(61,1)}
       24:{2,3,4,6,7}:{(14,1),(16,1),(32,1),(34,1),(48,1),(60,1),(61,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(33,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,4,5,7}:{(18,1),(20,1),(37,1),(38,1),(39,1),(56,1)}
       28:{1,4,5,6}:{(18,1),(21,1),(38,1)}
       29:{2,4,5,6}:{(18,1),(22,1),(39,1)}
       30:{3,5,6,7}:{(19,1),(20,1),(37,1)}
       31:{1,3,5,7}:{(20,1),(21,1),(23,1),(38,1),(43,1),(56,1)}
       32:{2,3,5,7}:{(20,1),(22,1),(24,1),(39,1),(43,1),(56,1)}
       33:{1,2,5,6}:{(21,1),(22,1),(25,1),(43,1)}
       34:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(43,1),(45,1),(58,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(58,1)}
       37:{3,4,6,7}:{(27,1),(30,1),(47,1),(48,1),(60,1)}
       38:{1,4,5,7}:{(27,1),(28,1),(31,1),(47,1)}
       39:{2,4,5,7}:{(27,1),(29,1),(32,1),(48,1)}
       40:{1,2,4,5,6}:{(28,1),(29,1),(33,1),(49,1),(50,1),(53,1)}
       41:{1,3,5,6,7}:{(30,1),(31,1),(47,1),(51,1),(60,1)}
       42:{2,3,5,6,7}:{(30,1),(32,1),(48,1),(51,1),(60,1)}
       43:{1,2,5,7}:{(31,1),(32,1),(33,1),(34,1)}
       44:{1,2,3,5,6}:{(33,1),(35,1),(50,1),(52,1),(53,1),(54,1)}
       45:{1,2,3,6,7}:{(34,1),(35,1),(52,1),(60,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(41,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(42,1)}
       49:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(55,1),(56,1),(58,1)}
       50:{3,5,6}:{(40,1),(56,1),(57,1)}
       51:{1,2,5,6,7}:{(41,1),(42,1),(43,1),(55,1)}
       52:{1,2,3,5,7}:{(43,1),(44,1),(45,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(44,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(51,1),(60,1)}
       56:{3,5,7}:{(49,1),(50,1),(60,1),(61,1)}
       57:{3,4,6}:{(50,1),(53,1),(61,1),(62,1)}
       58:{1,2,4,7}:{(52,1),(53,1),(61,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(57,1),(59,1)}

1986 :   0:{1,2,3,4,6}:{(1,1),(2,1),(6,1),(9,1),(10,1),(25,1)}
         1:{1,2,3,4,7}:{(0,1),(3,1),(21,1),(39,1)}
         2:{1,2,3,5}:{(0,1),(4,1)}
         3:{1,2,3,5,7}:{(1,1),(2,1),(8,1),(9,1)}
         4:{1,2,4,5}:{(2,1),(7,1),(10,1)}
         5:{1,2,3,5,6}:{(2,1),(9,1),(10,1),(11,1),(25,1),(29,1),(31,1),(57,1)}
         6:{1,2,3,4}:{(13,1)}
         7:{3,4,5}:{(4,1),(17,1)}
         8:{1,2,4,5,7}:{(3,1),(4,1),(16,1),(18,1),(21,1),(47,1)}
         9:{1,2,3,6}:{(3,1),(18,1)}
        10:{1,2,4,6}:{(4,1),(5,1),(17,1),(21,1)}
        11:{1,2,3,5,7}:{(5,1),(19,1),(21,1),(39,1),(46,1),(47,1),(74,1)}
        12:{1,2,3,4,6}:{(6,1),(22,1),(23,1),(25,1),(51,1),(52,1)}
        13:{1,2,3,5}:{(6,1),(24,1),(25,1)}
        14:{1,3,4,5}:{(7,1),(24,1),(26,1),(49,1)}
        15:{2,3,4,5}:{(7,1),(24,1),(27,1),(49,1)}
        16:{3,4,5,7}:{(7,1),(8,1),(28,1),(30,1),(62,1)}
        17:{3,4,6}:{(7,1),(10,1),(29,1),(30,1)}
        18:{1,2,4,6}:{(8,1),(9,1),(28,1),(31,1)}
        19:{1,2,3,6,7}:{(9,1),(11,1),(32,1),(63,1),(88,1)}
        20:{1,2,4,5,6}:{(10,1),(29,1),(31,1),(33,1),(54,1),(55,1),(57,1),(61,1)}
        21:{1,2,4,7}:{(10,1),(11,1),(30,1)}
        22:{1,2,3,4,7}:{(12,1),(34,1),(39,1),(70,1)}
        23:{1,2,3,5}:{(12,1),(35,1)}
        24:{1,2,4,5}:{(13,1),(14,1),(15,1),(38,1)}
        25:{1,2,3,6}:{(13,1),(38,1),(39,1)}
        26:{1,3,4,6}:{(14,1),(17,1),(38,1),(40,1),(41,1),(66,1)}
        27:{2,3,4,6}:{(15,1),(17,1),(38,1),(42,1),(43,1),(66,1)}
        28:{3,4,6}:{(16,1),(18,1),(44,1)}
        29:{3,5,6}:{(17,1),(20,1),(46,1)}
        30:{3,4,7}:{(17,1),(21,1),(46,1)}
        31:{1,2,5,6}:{(18,1),(44,1),(47,1)}
        32:{1,2,4,6,7}:{(18,1),(19,1),(21,1),(45,1),(47,1)}
        33:{1,2,4,5,7}:{(20,1),(21,1),(46,1),(47,1),(48,1),(71,1),(72,1),(74,1),(77,1)}
        34:{1,2,3,5,7}:{(22,1),(23,1),(50,1),(51,1)}
        35:{1,2,4,5}:{(23,1),(49,1),(52,1)}
        36:{1,2,3,5,6}:{(23,1),(25,1),(51,1),(52,1),(53,1),(57,1),(80,1),(82,1)}
        37:{3,4,5,6}:{(29,1),(54,1),(55,1),(56,1),(61,1),(80,1),(98,1)}
        38:{1,2,4,6}:{(24,1),(25,1),(26,1),(27,1),(57,1),(58,1)}
        39:{1,2,3,7}:{(25,1),(58,1)}
        40:{1,3,5,6}:{(26,1),(29,1),(54,1),(57,1),(59,1),(80,1)}
        41:{1,3,4,7}:{(26,1),(30,1),(58,1),(59,1),(81,1)}
        42:{2,3,5,6}:{(27,1),(29,1),(55,1),(57,1),(60,1),(80,1)}
        43:{2,3,4,7}:{(27,1),(30,1),(58,1),(60,1),(81,1)}
        44:{3,5,6}:{(28,1),(31,1),(61,1),(62,1)}
        45:{3,4,6,7}:{(28,1),(30,1),(32,1),(62,1),(63,1),(89,1)}
        46:{3,5,7}:{(29,1),(30,1),(33,1),(63,1)}
        47:{1,2,5,7}:{(31,1),(32,1),(62,1)}
        48:{1,2,4,6,7}:{(33,1),(63,1),(64,1),(85,1),(86,1),(88,1),(89,1)}
        49:{3,4,5}:{(35,1),(66,1)}
        50:{1,2,4,5,7}:{(34,1),(35,1),(65,1),(67,1),(70,1),(93,1)}
        51:{1,2,3,6}:{(34,1),(67,1)}
        52:{1,2,4,6}:{(35,1),(36,1),(66,1),(70,1)}
        53:{1,2,3,5,7}:{(36,1),(39,1),(68,1),(70,1),(74,1),(92,1),(93,1)}
        54:{1,4,5,6}:{(37,1),(40,1),(71,1)}
        55:{2,4,5,6}:{(37,1),(42,1),(72,1)}
        56:{3,4,5,7}:{(37,1),(46,1),(71,1),(72,1),(73,1),(77,1),(92,1),(102,1)}
        57:{1,2,5,6}:{(38,1),(40,1),(42,1),(74,1)}
        58:{1,2,4,7}:{(38,1),(39,1),(41,1),(43,1),(74,1)}
        59:{1,3,5,7}:{(40,1),(41,1),(46,1),(71,1),(74,1),(75,1),(92,1)}
        60:{2,3,5,7}:{(42,1),(43,1),(46,1),(72,1),(74,1),(76,1),(92,1)}
        61:{4,5,6}:{(44,1),(77,1)}
        62:{3,5,7}:{(44,1),(45,1),(47,1),(77,1)}
        63:{3,6,7}:{(46,1),(48,1)}
        64:{1,2,5,6,7}:{(47,1),(48,1),(78,1),(95,1),(96,1)}
        65:{3,4,5,7}:{(49,1),(50,1),(79,1),(81,1),(99,1)}
        66:{3,4,6}:{(49,1),(52,1),(80,1),(81,1)}
        67:{1,2,4,6}:{(50,1),(51,1),(79,1),(82,1)}
        68:{1,2,3,6,7}:{(51,1),(53,1),(83,1),(88,1),(100,1)}
        69:{1,2,4,5,6}:{(52,1),(54,1),(55,1),(57,1),(80,1),(82,1),(84,1),(98,1)}
        70:{1,2,4,7}:{(52,1),(53,1),(81,1)}
        71:{1,4,5,7}:{(54,1),(56,1),(59,1),(85,1)}
        72:{2,4,5,7}:{(55,1),(56,1),(60,1),(86,1)}
        73:{3,4,6,7}:{(56,1),(63,1),(85,1),(86,1),(87,1),(89,1),(100,1),(104,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(60,1),(88,1)}
        75:{1,3,6,7}:{(59,1),(63,1),(85,1),(88,1),(100,1)}
        76:{2,3,6,7}:{(60,1),(63,1),(86,1),(88,1),(100,1)}
        77:{4,5,7}:{(61,1),(62,1),(89,1)}
        78:{3,5,6,7}:{(62,1),(63,1),(64,1),(89,1)}
        79:{3,4,6}:{(65,1),(67,1),(90,1)}
        80:{3,5,6}:{(66,1),(69,1),(92,1)}
        81:{3,4,7}:{(66,1),(70,1),(92,1)}
        82:{1,2,5,6}:{(67,1),(90,1),(93,1)}
        83:{1,2,4,6,7}:{(67,1),(68,1),(70,1),(91,1),(93,1)}
        84:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(72,1),(74,1),(92,1),(93,1),(94,1),(102,1)}
        85:{1,4,6,7}:{(71,1),(73,1),(75,1),(95,1)}
        86:{2,4,6,7}:{(72,1),(73,1),(76,1),(96,1)}
        87:{3,5,6,7}:{(73,1),(95,1),(96,1),(97,1)}
        88:{1,2,6,7}:{(74,1),(75,1),(76,1)}
        89:{4,6,7}:{(77,1),(78,1)}
        90:{3,5,6}:{(79,1),(82,1),(98,1),(99,1)}
        91:{3,4,6,7}:{(79,1),(81,1),(83,1),(99,1),(100,1),(104,1)}
        92:{3,5,7}:{(80,1),(81,1),(84,1),(100,1)}
        93:{1,2,5,7}:{(82,1),(83,1),(99,1)}
        94:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(100,1),(101,1),(104,1)}
        95:{1,5,6,7}:{(85,1),(87,1)}
        96:{2,5,6,7}:{(86,1),(87,1)}
        97:{4,5,6,7}:{(87,1),(89,1),(104,1)}
        98:{4,5,6}:{(90,1),(102,1)}
        99:{3,5,7}:{(90,1),(91,1),(93,1),(102,1)}
       100:{3,6,7}:{(92,1),(94,1)}
       101:{1,2,5,6,7}:{(93,1),(94,1),(95,1),(96,1),(103,1)}
       102:{4,5,7}:{(98,1),(99,1),(104,1)}
       103:{3,5,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{4,6,7}:{(102,1),(103,1)}

1987 :   0:{1,2,3,6,7}:{(3,1),(4,1),(47,1),(48,1),(57,1),(88,1)}
         1:{1,2,3,5,6}:{(4,1),(5,1),(19,1),(20,1),(21,1),(24,1),(57,1),(61,1),(62,1),(88,1)}
         2:{1,2,4,5,6}:{(8,1),(9,1),(12,1),(35,1),(36,1),(37,1),(38,1),(63,1),(91,1),(92,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(10,1),(11,1),(38,1),(65,1),(66,1)}
         4:{1,2,3,5,7}:{(0,1),(1,1),(10,1),(11,1),(32,1),(33,1),(39,1),(76,1),(77,1)}
         5:{1,2,4,6}:{(1,1),(11,1),(12,1),(13,1),(35,1),(36,1)}
         6:{1,2,5,6,7}:{(14,1),(15,1),(21,1),(80,1),(81,1)}
         7:{3,4,6,7}:{(3,1),(16,1),(23,1),(49,1),(57,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(17,1),(45,1),(51,1),(52,1),(53,1),(80,1),(81,1)}
         9:{3,5,6}:{(2,1),(17,1),(18,1),(24,1),(57,1)}
        10:{1,2,5,7}:{(3,1),(16,1),(21,1),(80,1),(81,1)}
        11:{1,2,4,7}:{(4,1),(5,1),(23,1),(51,1),(52,1)}
        12:{1,2,4,5}:{(5,1),(24,1),(54,1),(55,1),(61,1)}
        13:{3,4,6}:{(5,1),(23,1),(24,1),(57,1)}
        14:{3,5,6,7}:{(6,1),(27,1),(28,1),(29,1),(64,1)}
        15:{1,2,4,6,7}:{(6,1),(8,1),(27,1),(28,1),(38,1),(65,1),(66,1),(67,1)}
        16:{3,5,7}:{(7,1),(10,1),(29,1),(30,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(31,1)}
        18:{3,4,6}:{(9,1),(31,1),(34,1),(35,1),(36,1),(73,1)}
        19:{1,3,5,6}:{(9,1),(32,1),(35,1),(37,1),(42,1),(73,1),(74,1),(91,1),(105,1)}
        20:{2,3,5,6}:{(9,1),(33,1),(36,1),(37,1),(43,1),(73,1),(75,1),(92,1),(105,1)}
        21:{1,2,5,6}:{(10,1),(29,1),(38,1),(91,1),(92,1)}
        22:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(30,1),(38,1),(39,1),(69,1),(70,1),(76,1)}
        23:{3,4,7}:{(11,1),(13,1),(39,1)}
        24:{3,5}:{(12,1),(13,1)}
        25:{1,3,4,6}:{(13,1),(35,1),(40,1),(42,1),(44,1),(73,1),(74,1),(97,1),(107,1)}
        26:{2,3,4,6}:{(13,1),(36,1),(41,1),(43,1),(44,1),(73,1),(75,1),(97,1),(107,1)}
        27:{4,6,7}:{(14,1),(45,1),(49,1)}
        28:{3,6,7}:{(15,1),(17,1),(57,1)}
        29:{3,5,6}:{(16,1),(21,1),(49,1),(57,1)}
        30:{4,5,7}:{(16,1),(49,1)}
        31:{3,4,7}:{(17,1),(18,1),(51,1),(52,1),(86,1)}
        32:{1,3,5,7}:{(17,1),(19,1),(47,1),(51,1),(53,1),(80,1),(86,1),(101,1)}
        33:{2,3,5,7}:{(17,1),(20,1),(48,1),(52,1),(53,1),(81,1),(86,1),(101,1)}
        34:{3,4,5}:{(18,1),(24,1),(54,1),(55,1),(87,1)}
        35:{1,4,6}:{(18,1),(19,1),(51,1),(54,1),(109,1)}
        36:{2,4,6}:{(18,1),(20,1),(52,1),(55,1),(109,1)}
        37:{1,2,5,6}:{(19,1),(20,1),(53,1),(56,1),(61,1),(88,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(49,1),(57,1),(83,1),(84,1),(88,1)}
        39:{3,5,7}:{(22,1),(23,1),(24,1),(57,1)}
        40:{1,3,4,7}:{(23,1),(25,1),(51,1),(58,1),(60,1),(86,1),(103,1)}
        41:{2,3,4,7}:{(23,1),(26,1),(52,1),(59,1),(60,1),(86,1),(103,1)}
        42:{1,3,5}:{(24,1),(25,1),(54,1),(61,1),(87,1),(110,1)}
        43:{2,3,5}:{(24,1),(26,1),(55,1),(61,1),(87,1),(110,1)}
        44:{1,2,4,6}:{(25,1),(26,1),(60,1),(61,1),(62,1),(88,1),(90,1)}
        45:{4,5,7}:{(27,1),(63,1),(64,1),(106,1)}
        46:{3,4,6,7}:{(27,1),(28,1),(31,1),(64,1),(65,1),(66,1),(68,1),(94,1),(106,1)}
        47:{1,3,6,7}:{(28,1),(32,1),(65,1),(67,1),(74,1),(94,1)}
        48:{2,3,6,7}:{(28,1),(33,1),(66,1),(67,1),(75,1),(94,1)}
        49:{4,6}:{(29,1),(30,1)}
        50:{3,4,5,7}:{(30,1),(31,1),(34,1),(39,1),(64,1),(68,1),(69,1),(70,1),(96,1),(106,1),(111,1)}
        51:{1,4,7}:{(31,1),(32,1),(35,1),(106,1)}
        52:{2,4,7}:{(31,1),(33,1),(36,1),(106,1)}
        53:{1,2,5,7}:{(32,1),(33,1),(37,1),(67,1),(71,1)}
        54:{1,4,5}:{(34,1),(35,1),(42,1),(111,1)}
        55:{2,4,5}:{(34,1),(36,1),(43,1),(111,1)}
        56:{1,2,4,6}:{(35,1),(36,1),(37,1),(71,1),(72,1),(73,1)}
        57:{3,6}:{(38,1),(39,1)}
        58:{1,3,5,7}:{(39,1),(40,1),(42,1),(69,1),(74,1),(76,1),(96,1)}
        59:{2,3,5,7}:{(39,1),(41,1),(43,1),(70,1),(75,1),(76,1),(96,1)}
        60:{1,2,4,7}:{(40,1),(41,1),(44,1),(76,1),(77,1)}
        61:{1,2,5}:{(42,1),(43,1),(44,1)}
        62:{1,2,3,6}:{(44,1),(73,1),(77,1),(78,1)}
        63:{4,5,6}:{(45,1),(49,1),(79,1),(109,1)}
        64:{3,5,7}:{(45,1),(46,1),(79,1),(80,1),(81,1)}
        65:{1,4,6,7}:{(46,1),(47,1),(51,1),(80,1),(83,1)}
        66:{2,4,6,7}:{(46,1),(48,1),(52,1),(81,1),(84,1)}
        67:{1,2,6,7}:{(47,1),(48,1),(53,1),(88,1)}
        68:{3,4,6}:{(49,1),(50,1),(57,1),(79,1),(83,1),(84,1),(102,1),(109,1)}
        69:{1,4,5,7}:{(50,1),(51,1),(54,1),(58,1),(80,1),(83,1)}
        70:{2,4,5,7}:{(50,1),(52,1),(55,1),(59,1),(81,1),(84,1)}
        71:{1,2,4,7}:{(51,1),(52,1),(53,1),(56,1),(86,1)}
        72:{1,2,4,5}:{(54,1),(55,1),(56,1),(61,1),(87,1),(90,1)}
        73:{3,6}:{(56,1),(86,1),(87,1)}
        74:{1,3,6}:{(57,1),(58,1),(83,1),(88,1),(102,1)}
        75:{2,3,6}:{(57,1),(59,1),(84,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(58,1),(59,1),(60,1),(61,1),(88,1)}
        77:{1,2,3,7}:{(60,1),(62,1),(86,1)}
        78:{1,2,3,5}:{(61,1),(62,1),(87,1),(90,1)}
        79:{3,5,6}:{(63,1),(64,1),(68,1),(91,1),(92,1)}
        80:{1,5,7}:{(64,1),(65,1),(91,1)}
        81:{2,5,7}:{(64,1),(66,1),(92,1)}
        82:{1,2,4,6,7}:{(65,1),(66,1),(67,1),(71,1),(93,1),(94,1),(95,1),(106,1)}
        83:{1,4,6}:{(68,1),(69,1),(74,1),(91,1)}
        84:{2,4,6}:{(68,1),(70,1),(75,1),(92,1)}
        85:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(72,1),(76,1),(93,1),(95,1),(96,1),(99,1),(106,1),(108,1),(111,1)}
        86:{3,7}:{(71,1),(73,1)}
        87:{3,5}:{(72,1),(73,1),(97,1)}
        88:{1,2,6}:{(74,1),(75,1),(76,1)}
        89:{1,2,3,5,7}:{(76,1),(77,1),(78,1),(96,1),(98,1),(99,1),(108,1)}
        90:{1,2,4}:{(78,1),(97,1)}
        91:{1,5,6}:{(79,1),(80,1),(83,1)}
        92:{2,5,6}:{(79,1),(81,1),(84,1)}
        93:{1,2,5,7}:{(80,1),(81,1),(82,1),(100,1),(101,1)}
        94:{3,6,7}:{(82,1),(86,1),(101,1),(102,1)}
        95:{1,2,4,6}:{(83,1),(84,1),(85,1),(88,1),(100,1),(102,1),(109,1)}
        96:{3,5,7}:{(85,1),(86,1),(87,1),(102,1),(103,1),(110,1)}
        97:{3,4}:{(87,1),(90,1)}
        98:{1,2,3,6}:{(88,1),(89,1),(102,1),(104,1)}
        99:{1,2,4,7}:{(89,1),(90,1),(103,1),(104,1)}
       100:{1,2,5,6}:{(91,1),(92,1),(93,1),(95,1),(105,1),(108,1)}
       101:{3,5,7}:{(93,1),(94,1),(105,1),(106,1)}
       102:{3,6}:{(95,1),(96,1)}
       103:{3,4,7}:{(96,1),(97,1),(99,1),(106,1),(107,1)}
       104:{1,2,4,6}:{(98,1),(99,1),(107,1),(108,1)}
       105:{3,5,6}:{(100,1),(101,1),(102,1),(109,1),(110,1)}
       106:{4,7}:{(101,1),(109,1)}
       107:{3,4,6}:{(102,1),(103,1),(104,1),(109,1),(110,1)}
       108:{1,2,5}:{(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5}:{(107,1),(108,1),(111,1)}
       111:{4,5}:{(109,1),(110,1)}

1988 :   0:{1,2,3,4,7}:{(1,1),(2,1),(26,1),(47,1)}
         1:{1,2,3,4,6}:{(0,1),(3,1),(5,1),(12,1),(14,1),(33,1)}
         2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1)}
         3:{1,2,3,5}:{(1,1),(7,1)}
         4:{1,2,4,5,7}:{(2,1),(6,1),(7,1),(9,1),(26,1),(27,1)}
         5:{1,2,3,6}:{(2,1),(9,1)}
         6:{3,4,5,7}:{(4,1),(11,1),(13,1),(31,1),(37,1)}
         7:{1,2,4,5}:{(3,1),(13,1),(14,1)}
         8:{1,2,3,5,6}:{(3,1),(5,1),(14,1),(15,1),(16,1),(33,1),(36,1),(63,1)}
         9:{1,2,4,6}:{(4,1),(5,1),(11,1),(16,1)}
        10:{1,2,3,6,7}:{(5,1),(15,1),(17,1),(67,1),(90,1)}
        11:{3,4,6}:{(6,1),(9,1),(19,1)}
        12:{1,2,3,4}:{(21,1)}
        13:{3,4,5}:{(7,1),(24,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(26,1)}
        15:{1,2,3,5,7}:{(8,1),(10,1),(26,1),(27,1),(47,1),(52,1),(78,1)}
        16:{1,2,5,6}:{(9,1),(19,1),(27,1)}
        17:{1,2,4,6,7}:{(9,1),(10,1),(20,1),(26,1),(27,1)}
        18:{1,2,3,4,6}:{(12,1),(28,1),(29,1),(33,1),(55,1),(57,1)}
        19:{3,5,6}:{(11,1),(16,1),(30,1),(31,1)}
        20:{3,4,6,7}:{(11,1),(17,1),(31,1),(37,1),(62,1),(67,1)}
        21:{1,2,3,5}:{(12,1),(32,1),(33,1)}
        22:{1,3,4,5}:{(13,1),(32,1),(34,1),(56,1)}
        23:{2,3,4,5}:{(13,1),(32,1),(35,1),(56,1)}
        24:{3,4,6}:{(13,1),(14,1),(36,1),(37,1)}
        25:{1,2,4,5,6}:{(14,1),(16,1),(30,1),(36,1),(38,1),(59,1),(60,1),(63,1)}
        26:{1,2,4,7}:{(14,1),(15,1),(37,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(31,1)}
        28:{1,2,3,4,7}:{(18,1),(40,1),(47,1),(74,1)}
        29:{1,2,3,5}:{(18,1),(41,1)}
        30:{4,5,6}:{(19,1),(44,1)}
        31:{3,5,7}:{(19,1),(20,1),(27,1),(44,1)}
        32:{1,2,4,5}:{(21,1),(22,1),(23,1),(46,1)}
        33:{1,2,3,6}:{(21,1),(46,1),(47,1)}
        34:{1,3,4,6}:{(22,1),(24,1),(46,1),(48,1),(49,1),(72,1)}
        35:{2,3,4,6}:{(23,1),(24,1),(46,1),(50,1),(51,1),(72,1)}
        36:{3,5,6}:{(24,1),(25,1),(52,1)}
        37:{3,4,7}:{(24,1),(26,1),(52,1)}
        38:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(44,1),(52,1),(53,1),(75,1),(76,1),(78,1)}
        39:{1,2,5,6,7}:{(27,1),(45,1),(53,1),(94,1),(95,1)}
        40:{1,2,3,5,7}:{(28,1),(29,1),(54,1),(55,1)}
        41:{1,2,4,5}:{(29,1),(56,1),(57,1)}
        42:{1,2,3,5,6}:{(29,1),(33,1),(55,1),(57,1),(58,1),(63,1),(82,1),(85,1)}
        43:{3,4,5,6}:{(30,1),(36,1),(59,1),(60,1),(61,1),(85,1),(98,1)}
        44:{4,5,7}:{(30,1),(31,1),(62,1)}
        45:{3,5,6,7}:{(31,1),(39,1),(62,1),(67,1)}
        46:{1,2,4,6}:{(32,1),(33,1),(34,1),(35,1),(63,1),(64,1)}
        47:{1,2,3,7}:{(33,1),(64,1)}
        48:{1,3,5,6}:{(34,1),(36,1),(59,1),(63,1),(65,1),(85,1)}
        49:{1,3,4,7}:{(34,1),(37,1),(64,1),(65,1),(86,1)}
        50:{2,3,5,6}:{(35,1),(36,1),(60,1),(63,1),(66,1),(85,1)}
        51:{2,3,4,7}:{(35,1),(37,1),(64,1),(66,1),(86,1)}
        52:{3,5,7}:{(36,1),(37,1),(38,1),(67,1)}
        53:{1,2,4,6,7}:{(38,1),(39,1),(62,1),(67,1),(88,1),(89,1),(90,1)}
        54:{1,2,4,5,7}:{(40,1),(41,1),(68,1),(69,1),(74,1),(93,1)}
        55:{1,2,3,6}:{(40,1),(69,1)}
        56:{3,4,5}:{(41,1),(72,1)}
        57:{1,2,4,6}:{(41,1),(42,1),(72,1),(74,1)}
        58:{1,2,3,5,7}:{(42,1),(47,1),(70,1),(74,1),(78,1),(93,1),(96,1)}
        59:{1,4,5,6}:{(43,1),(48,1),(75,1)}
        60:{2,4,5,6}:{(43,1),(50,1),(76,1)}
        61:{3,4,5,7}:{(43,1),(44,1),(52,1),(75,1),(76,1),(77,1),(96,1),(102,1)}
        62:{4,6,7}:{(44,1),(45,1)}
        63:{1,2,5,6}:{(46,1),(48,1),(50,1),(78,1)}
        64:{1,2,4,7}:{(46,1),(47,1),(49,1),(51,1),(78,1)}
        65:{1,3,5,7}:{(48,1),(49,1),(52,1),(75,1),(78,1),(79,1),(96,1)}
        66:{2,3,5,7}:{(50,1),(51,1),(52,1),(76,1),(78,1),(80,1),(96,1)}
        67:{3,6,7}:{(52,1),(53,1)}
        68:{3,4,5,7}:{(54,1),(56,1),(81,1),(86,1),(99,1)}
        69:{1,2,4,6}:{(54,1),(55,1),(81,1),(82,1)}
        70:{1,2,3,6,7}:{(55,1),(58,1),(83,1),(90,1),(101,1)}
        71:{4,5,6,7}:{(62,1),(84,1),(104,1)}
        72:{3,4,6}:{(56,1),(57,1),(85,1),(86,1)}
        73:{1,2,4,5,6}:{(57,1),(59,1),(60,1),(63,1),(82,1),(85,1),(87,1),(98,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(86,1)}
        75:{1,4,5,7}:{(59,1),(61,1),(65,1),(88,1)}
        76:{2,4,5,7}:{(60,1),(61,1),(66,1),(89,1)}
        77:{3,4,6,7}:{(61,1),(62,1),(67,1),(84,1),(88,1),(89,1),(101,1),(104,1)}
        78:{1,2,5,7}:{(63,1),(64,1),(65,1),(66,1),(90,1)}
        79:{1,3,6,7}:{(65,1),(67,1),(88,1),(90,1),(101,1)}
        80:{2,3,6,7}:{(66,1),(67,1),(89,1),(90,1),(101,1)}
        81:{3,4,6}:{(68,1),(69,1),(91,1)}
        82:{1,2,5,6}:{(69,1),(91,1),(93,1)}
        83:{1,2,4,6,7}:{(69,1),(70,1),(74,1),(92,1),(93,1)}
        84:{3,5,6,7}:{(71,1),(77,1),(94,1),(95,1)}
        85:{3,5,6}:{(72,1),(73,1),(96,1)}
        86:{3,4,7}:{(72,1),(74,1),(96,1)}
        87:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(76,1),(78,1),(93,1),(96,1),(97,1),(102,1)}
        88:{1,4,6,7}:{(75,1),(77,1),(79,1),(94,1)}
        89:{2,4,6,7}:{(76,1),(77,1),(80,1),(95,1)}
        90:{1,2,6,7}:{(78,1),(79,1),(80,1)}
        91:{3,5,6}:{(81,1),(82,1),(98,1),(99,1)}
        92:{3,4,6,7}:{(81,1),(83,1),(86,1),(99,1),(101,1),(104,1)}
        93:{1,2,5,7}:{(82,1),(83,1),(99,1)}
        94:{1,5,6,7}:{(84,1),(88,1)}
        95:{2,5,6,7}:{(84,1),(89,1)}
        96:{3,5,7}:{(85,1),(86,1),(87,1),(101,1)}
        97:{1,2,4,6,7}:{(87,1),(88,1),(89,1),(90,1),(100,1),(101,1),(104,1)}
        98:{4,5,6}:{(91,1),(102,1)}
        99:{3,5,7}:{(91,1),(92,1),(93,1),(102,1)}
       100:{1,2,5,6,7}:{(93,1),(94,1),(95,1),(97,1),(103,1)}
       101:{3,6,7}:{(96,1),(97,1)}
       102:{4,5,7}:{(98,1),(99,1),(104,1)}
       103:{3,5,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{4,6,7}:{(102,1),(103,1)}

1989 :   0:{2,3,4,5,7}:{(2,1),(3,1),(20,1),(57,1),(117,1),(131,1),(132,1),(171,1),(179,1),(181,1)}
         1:{2,4,5,6,7}:{(4,1),(26,1),(199,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(9,1),(100,1),(190,1),(195,1),(196,1)}
         3:{1,2,4,5,7}:{(0,1),(9,1),(10,1),(37,1),(42,1),(96,1),(101,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(12,1),(206,1)}
         5:{1,3,4,5,7}:{(14,1),(15,1),(24,1),(53,1),(72,1),(133,1),(169,1),(170,1),(179,1),(200,1)}
         6:{3,4,5,6}:{(17,1),(18,1),(19,1),(68,1),(170,1),(201,1)}
         7:{2,3,5,6}:{(2,1),(19,1),(20,1),(21,1),(68,1),(117,1),(183,1)}
         8:{2,3,4,6,7}:{(2,1),(20,1),(22,1),(26,1),(74,1),(131,1),(135,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(21,1),(23,1),(70,1)}
        10:{1,3,5,7}:{(3,1),(23,1),(24,1),(72,1),(179,1)}
        11:{3,4,6,7}:{(4,1),(17,1),(25,1),(26,1),(74,1),(201,1)}
        12:{1,5,6,7}:{(4,1),(25,1),(209,1)}
        13:{2,3,5,6,7}:{(4,1),(20,1),(26,1),(27,1),(74,1),(172,1)}
        14:{1,3,4,6}:{(5,1),(30,1),(32,1),(144,1),(161,1),(195,1),(207,1)}
        15:{1,2,4,5,7}:{(5,1),(32,1),(33,1),(37,1),(83,1),(96,1),(145,1),(146,1)}
        16:{1,2,3,5,7}:{(10,1),(33,1),(36,1),(37,1),(96,1)}
        17:{3,4,5,7}:{(6,1),(11,1),(39,1),(40,1),(99,1)}
        18:{1,4,5,6}:{(6,1),(38,1),(39,1),(188,1),(207,1)}
        19:{2,4,5,6}:{(6,1),(7,1),(40,1),(146,1),(190,1)}
        20:{2,3,5,7}:{(7,1),(8,1),(40,1),(42,1),(99,1),(162,1)}
        21:{1,2,5,6}:{(7,1),(9,1),(42,1),(43,1),(96,1)}
        22:{1,2,4,6,7}:{(8,1),(9,1),(42,1),(44,1),(101,1)}
        23:{1,3,6}:{(9,1),(10,1),(195,1)}
        24:{1,3,4,7}:{(10,1),(37,1),(45,1),(101,1),(154,1)}
        25:{1,4,6,7}:{(11,1),(12,1),(39,1),(46,1),(207,1)}
        26:{2,4,6,7}:{(11,1),(13,1),(40,1),(190,1)}
        27:{1,2,5,6,7}:{(12,1),(13,1),(42,1),(47,1),(48,1),(157,1),(162,1)}
        28:{1,4,5,6,7}:{(49,1),(107,1),(137,1)}
        29:{3,4,5,6}:{(50,1),(51,1),(52,1),(113,1),(132,1),(182,1)}
        30:{1,3,5,6}:{(14,1),(51,1),(53,1),(54,1),(72,1),(113,1),(209,1)}
        31:{1,3,4,6,7}:{(14,1),(53,1),(55,1),(107,1),(165,1),(169,1),(197,1)}
        32:{1,2,4,6}:{(14,1),(15,1),(54,1),(56,1),(115,1)}
        33:{2,3,5,7}:{(15,1),(56,1),(57,1),(117,1),(179,1)}
        34:{2,3,4,5}:{(58,1),(59,1),(124,1),(170,1),(178,1)}
        35:{1,3,4,5}:{(60,1),(61,1),(121,1),(132,1),(176,1)}
        36:{1,2,3,6}:{(16,1),(23,1),(56,1),(64,1)}
        37:{1,2,4,7}:{(16,1),(24,1),(57,1),(64,1)}
        38:{1,3,5,6}:{(18,1),(60,1),(65,1),(66,1),(68,1),(176,1),(203,1)}
        39:{1,4,5,7}:{(17,1),(18,1),(25,1),(65,1)}
        40:{2,4,5,7}:{(17,1),(19,1),(20,1),(26,1)}
        41:{1,2,4,5,6}:{(18,1),(19,1),(21,1),(66,1),(67,1),(68,1),(70,1),(127,1),(130,1),(137,1),(180,1),(183,1)}
        42:{1,2,5,7}:{(20,1),(21,1),(22,1),(69,1)}
        43:{1,3,5,6}:{(21,1),(23,1),(68,1),(69,1),(70,1),(72,1)}
        44:{1,3,6,7}:{(22,1),(23,1),(69,1),(74,1)}
        45:{1,3,4,6}:{(23,1),(24,1),(64,1),(70,1),(72,1),(125,1)}
        46:{1,3,6,7}:{(25,1),(65,1),(73,1),(74,1),(203,1)}
        47:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(67,1),(73,1),(74,1),(75,1),(135,1),(180,1)}
        48:{1,3,5,6,7}:{(27,1),(69,1),(74,1),(75,1),(134,1),(136,1)}
        49:{3,5,6,7}:{(28,1),(76,1),(78,1),(163,1)}
        50:{3,4,5,7}:{(29,1),(76,1),(80,1),(81,1),(143,1)}
        51:{1,4,5,6}:{(29,1),(30,1),(80,1),(102,1),(161,1)}
        52:{2,4,5,6}:{(29,1),(79,1),(81,1),(159,1),(196,1)}
        53:{1,3,5,7}:{(30,1),(31,1),(80,1),(83,1),(143,1),(205,1)}
        54:{1,2,5,6}:{(30,1),(32,1),(83,1),(84,1),(96,1)}
        55:{1,2,4,6,7}:{(31,1),(32,1),(83,1),(85,1),(145,1)}
        56:{2,3,6}:{(32,1),(33,1),(195,1)}
        57:{2,3,4,7}:{(33,1),(37,1),(86,1),(145,1),(154,1)}
        58:{2,3,4,6}:{(34,1),(79,1),(87,1),(88,1),(144,1)}
        59:{1,2,4,5}:{(34,1),(88,1),(89,1),(149,1),(188,1),(192,1)}
        60:{1,3,4,6}:{(35,1),(38,1),(90,1),(91,1),(100,1)}
        61:{1,2,4,5}:{(35,1),(91,1),(92,1),(149,1),(159,1),(192,1)}
        62:{1,2,3,5,6}:{(36,1),(43,1),(84,1),(93,1),(94,1),(96,1),(98,1),(142,1),(148,1),(155,1),(157,1),(192,1),(195,1),(208,1)}
        63:{1,2,3,6,7}:{(36,1),(44,1),(85,1),(93,1),(95,1),(104,1),(184,1),(195,1),(208,1)}
        64:{1,2,4,6}:{(36,1),(37,1),(45,1),(86,1),(96,1)}
        65:{1,3,5,7}:{(38,1),(39,1),(46,1),(90,1),(97,1),(99,1)}
        66:{1,2,5,6}:{(38,1),(91,1),(97,1),(98,1),(192,1),(208,1)}
        67:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(42,1),(47,1),(97,1),(99,1),(101,1),(106,1),(158,1),(162,1)}
        68:{3,5,6}:{(41,1),(99,1),(100,1),(155,1),(195,1)}
        69:{1,3,5,7}:{(42,1),(43,1),(44,1),(99,1),(101,1)}
        70:{1,4,6}:{(43,1),(100,1),(101,1),(102,1)}
        71:{1,3,4,6,7}:{(44,1),(45,1),(95,1),(101,1),(103,1),(105,1),(154,1),(161,1),(195,1)}
        72:{1,3,5}:{(45,1),(96,1),(102,1),(155,1)}
        73:{1,2,6,7}:{(46,1),(97,1),(104,1),(208,1)}
        74:{3,6,7}:{(47,1),(99,1),(195,1)}
        75:{1,4,6,7}:{(48,1),(101,1),(105,1),(106,1),(161,1)}
        76:{3,4,6,7}:{(49,1),(50,1),(107,1),(108,1),(165,1),(182,1)}
        77:{1,3,5,6,7}:{(49,1),(53,1),(107,1),(109,1),(134,1),(165,1)}
        78:{2,5,6,7}:{(49,1),(108,1),(183,1)}
        79:{2,3,5,6}:{(52,1),(58,1),(110,1),(111,1),(113,1),(178,1),(204,1)}
        80:{1,4,5,7}:{(50,1),(51,1),(53,1),(107,1)}
        81:{2,4,5,7}:{(50,1),(52,1),(108,1),(110,1)}
        82:{1,2,4,5,6}:{(51,1),(52,1),(54,1),(111,1),(112,1),(113,1),(115,1),(127,1),(168,1),(180,1),(199,1),(209,1)}
        83:{1,2,5,7}:{(53,1),(54,1),(55,1),(114,1)}
        84:{2,3,5,6}:{(54,1),(56,1),(113,1),(114,1),(115,1),(117,1)}
        85:{2,3,6,7}:{(55,1),(56,1),(114,1),(165,1)}
        86:{2,3,4,6}:{(56,1),(57,1),(64,1),(115,1),(117,1),(125,1)}
        87:{2,3,4,7}:{(58,1),(110,1),(119,1),(169,1)}
        88:{1,2,4,6}:{(58,1),(59,1),(111,1),(119,1),(120,1),(168,1)}
        89:{1,3,5}:{(59,1),(120,1),(121,1)}
        90:{1,3,4,7}:{(60,1),(65,1),(122,1),(131,1)}
        91:{1,2,4,6}:{(60,1),(61,1),(66,1),(122,1),(123,1),(130,1)}
        92:{2,3,5}:{(61,1),(123,1),(124,1)}
        93:{1,2,3,5,7}:{(62,1),(63,1),(69,1),(114,1),(126,1),(128,1),(129,1),(167,1),(173,1),(179,1),(202,1)}
        94:{1,2,4,6}:{(62,1),(70,1),(115,1),(125,1),(126,1),(127,1),(130,1),(168,1)}
        95:{1,2,4,6,7}:{(63,1),(64,1),(71,1),(116,1),(126,1),(128,1),(135,1),(180,1),(197,1)}
        96:{1,2,5}:{(64,1),(72,1),(117,1)}
        97:{1,2,5,7}:{(65,1),(66,1),(73,1),(122,1),(129,1)}
        98:{2,3,5,6}:{(66,1),(68,1),(123,1),(129,1),(130,1),(178,1),(183,1),(204,1)}
        99:{3,5,7}:{(67,1),(68,1),(74,1),(131,1)}
       100:{3,4,6}:{(68,1),(70,1),(130,1),(131,1),(132,1)}
       101:{1,4,7}:{(69,1),(70,1),(131,1)}
       102:{1,4,5}:{(70,1),(72,1),(132,1)}
       103:{1,3,5,7}:{(71,1),(72,1),(128,1),(133,1),(134,1),(136,1),(179,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(129,1),(135,1),(204,1)}
       105:{3,4,6,7}:{(74,1),(75,1),(131,1),(135,1),(136,1),(182,1)}
       106:{1,4,5,7}:{(75,1),(136,1),(137,1)}
       107:{1,4,6,7}:{(76,1),(77,1),(80,1),(161,1)}
       108:{2,4,6,7}:{(76,1),(78,1),(81,1),(138,1),(196,1)}
       109:{1,2,5,6,7}:{(77,1),(78,1),(83,1),(139,1),(140,1),(157,1),(205,1)}
       110:{2,3,5,7}:{(79,1),(81,1),(87,1),(138,1),(141,1),(143,1)}
       111:{1,2,5,6}:{(79,1),(88,1),(141,1),(142,1),(192,1),(208,1)}
       112:{1,2,4,5,7}:{(80,1),(81,1),(82,1),(83,1),(139,1),(141,1),(143,1),(145,1),(186,1),(187,1),(205,1)}
       113:{3,5,6}:{(82,1),(143,1),(144,1),(155,1),(195,1)}
       114:{2,3,5,7}:{(83,1),(84,1),(85,1),(143,1),(145,1)}
       115:{2,4,6}:{(84,1),(144,1),(145,1),(146,1)}
       116:{2,3,4,6,7}:{(85,1),(86,1),(95,1),(145,1),(147,1),(154,1),(185,1),(190,1),(195,1)}
       117:{2,3,5}:{(86,1),(96,1),(146,1),(155,1)}
       118:{1,2,3,5}:{(89,1),(92,1),(148,1),(149,1),(192,1)}
       119:{1,2,4,7}:{(87,1),(88,1),(141,1),(150,1),(187,1)}
       120:{1,3,6}:{(88,1),(89,1),(150,1)}
       121:{1,3,4}:{(89,1),(149,1)}
       122:{1,2,4,7}:{(90,1),(91,1),(97,1),(152,1),(158,1)}
       123:{2,3,6}:{(91,1),(92,1),(152,1)}
       124:{2,3,4}:{(92,1),(149,1)}
       125:{3,4,6}:{(94,1),(154,1),(155,1),(195,1)}
       126:{1,2,4,7}:{(93,1),(94,1),(101,1),(145,1),(154,1),(158,1),(187,1)}
       127:{1,2,4,5}:{(94,1),(96,1),(102,1),(146,1),(155,1),(159,1),(188,1),(192,1)}
       128:{1,2,5,7}:{(95,1),(96,1),(103,1),(147,1),(157,1),(162,1),(205,1)}
       129:{2,3,5,7}:{(97,1),(98,1),(99,1),(104,1),(152,1),(158,1),(162,1)}
       130:{2,4,6}:{(98,1),(100,1),(158,1),(159,1)}
       131:{3,4,7}:{(99,1),(100,1),(101,1),(158,1)}
       132:{3,4,5}:{(100,1),(102,1),(155,1),(159,1)}
       133:{1,4,5,7}:{(101,1),(102,1),(103,1),(160,1),(161,1)}
       134:{1,3,5,6}:{(103,1),(157,1),(161,1),(163,1),(195,1)}
       135:{2,4,6,7}:{(104,1),(105,1),(158,1),(162,1),(196,1)}
       136:{3,5,7}:{(105,1),(106,1),(162,1),(163,1)}
       137:{1,4,5,6}:{(106,1),(161,1),(163,1)}
       138:{2,3,6,7}:{(108,1),(110,1),(164,1),(165,1),(204,1)}
       139:{1,2,4,6,7}:{(107,1),(108,1),(109,1),(112,1),(164,1),(165,1),(166,1),(180,1),(197,1)}
       140:{2,3,5,6,7}:{(109,1),(114,1),(165,1),(166,1),(172,1),(198,1)}
       141:{1,2,5,7}:{(110,1),(111,1),(119,1),(164,1),(167,1)}
       142:{1,3,5,6}:{(111,1),(113,1),(120,1),(167,1),(168,1),(176,1),(203,1),(209,1)}
       143:{3,5,7}:{(112,1),(113,1),(165,1),(169,1)}
       144:{3,4,6}:{(113,1),(115,1),(168,1),(169,1),(170,1)}
       145:{2,4,7}:{(114,1),(115,1),(169,1)}
       146:{2,4,5}:{(115,1),(117,1),(170,1)}
       147:{2,3,5,7}:{(116,1),(117,1),(128,1),(171,1),(172,1),(179,1),(198,1)}
       148:{1,2,3,6}:{(118,1),(120,1),(123,1),(173,1),(174,1)}
       149:{1,2,4}:{(118,1),(121,1),(124,1)}
       150:{1,3,7}:{(119,1),(120,1)}
       151:{1,3,4,6}:{(120,1),(121,1),(125,1),(168,1),(174,1),(175,1),(176,1),(203,1)}
       152:{2,3,7}:{(122,1),(123,1)}
       153:{2,3,4,6}:{(123,1),(124,1),(125,1),(130,1),(174,1),(177,1),(178,1),(204,1)}
       154:{3,4,7}:{(125,1),(126,1),(179,1)}
       155:{3,5}:{(125,1),(127,1)}
       156:{1,2,4,5,7}:{(126,1),(127,1),(128,1),(133,1),(171,1),(179,1),(180,1),(181,1),(200,1),(202,1)}
       157:{1,2,5,6}:{(128,1),(134,1),(172,1),(180,1),(183,1),(209,1)}
       158:{2,4,7}:{(129,1),(130,1),(131,1)}
       159:{2,4,5}:{(130,1),(132,1),(178,1)}
       160:{3,4,5,7}:{(131,1),(132,1),(133,1),(136,1),(179,1),(181,1),(182,1)}
       161:{1,4,6}:{(133,1),(134,1),(182,1)}
       162:{2,5,7}:{(135,1),(136,1),(183,1)}
       163:{3,5,6}:{(136,1),(137,1),(182,1),(183,1)}
       164:{1,2,6,7}:{(138,1),(141,1),(184,1),(208,1)}
       165:{3,6,7}:{(139,1),(143,1),(195,1)}
       166:{2,4,6,7}:{(140,1),(145,1),(185,1),(186,1),(190,1)}
       167:{1,3,5,7}:{(141,1),(142,1),(143,1),(150,1),(184,1),(187,1),(205,1)}
       168:{1,4,6}:{(142,1),(144,1),(187,1),(188,1)}
       169:{3,4,7}:{(143,1),(144,1),(145,1),(187,1)}
       170:{3,4,5}:{(144,1),(146,1),(155,1),(188,1)}
       171:{2,4,5,7}:{(145,1),(146,1),(147,1),(189,1),(190,1)}
       172:{2,3,5,6}:{(147,1),(157,1),(190,1),(195,1),(206,1)}
       173:{1,2,3,7}:{(148,1),(150,1),(152,1),(191,1)}
       174:{1,2,4,6}:{(148,1),(149,1),(151,1),(153,1),(191,1),(192,1),(208,1)}
       175:{1,3,4,7}:{(150,1),(151,1),(154,1),(187,1),(191,1),(193,1)}
       176:{1,3,5}:{(151,1),(155,1),(188,1),(192,1)}
       177:{2,3,4,7}:{(152,1),(153,1),(154,1),(158,1),(191,1),(194,1)}
       178:{2,3,5}:{(153,1),(155,1),(159,1),(192,1)}
       179:{3,5,7}:{(154,1),(155,1),(156,1),(195,1)}
       180:{1,2,4,6}:{(156,1),(157,1),(161,1),(190,1),(195,1),(196,1),(207,1),(208,1)}
       181:{2,4,5,7}:{(158,1),(159,1),(160,1),(162,1),(194,1),(196,1)}
       182:{3,4,6}:{(160,1),(161,1),(163,1),(195,1),(196,1)}
       183:{2,5,6}:{(162,1),(163,1),(196,1)}
       184:{1,3,6,7}:{(164,1),(165,1),(167,1),(197,1),(203,1)}
       185:{3,4,6,7}:{(165,1),(166,1),(169,1),(197,1),(198,1),(201,1)}
       186:{2,4,5,7}:{(166,1),(198,1),(199,1)}
       187:{1,4,7}:{(167,1),(168,1),(169,1)}
       188:{1,4,5}:{(168,1),(170,1),(176,1)}
       189:{3,4,5,7}:{(169,1),(170,1),(171,1),(179,1),(198,1),(200,1),(201,1)}
       190:{2,4,6}:{(171,1),(172,1),(201,1)}
       191:{1,2,4,7}:{(173,1),(174,1),(175,1),(177,1),(202,1)}
       192:{1,2,5}:{(174,1),(176,1),(178,1)}
       193:{1,3,5,7}:{(175,1),(176,1),(179,1),(200,1),(202,1),(203,1)}
       194:{2,3,5,7}:{(177,1),(178,1),(179,1),(181,1),(202,1),(204,1)}
       195:{3,6}:{(179,1),(180,1)}
       196:{2,4,6}:{(181,1),(182,1),(183,1),(204,1)}
       197:{1,4,6,7}:{(184,1),(185,1),(187,1),(205,1),(207,1)}
       198:{3,5,7}:{(185,1),(186,1),(205,1),(206,1)}
       199:{2,4,5,6}:{(186,1),(190,1),(206,1)}
       200:{1,4,5,7}:{(187,1),(188,1),(189,1),(193,1),(205,1),(207,1)}
       201:{3,4,6}:{(189,1),(190,1),(195,1),(206,1),(207,1)}
       202:{1,2,5,7}:{(191,1),(192,1),(193,1),(194,1),(208,1)}
       203:{1,3,6}:{(193,1),(195,1),(207,1),(208,1)}
       204:{2,3,6}:{(194,1),(195,1),(196,1),(208,1)}
       205:{1,5,7}:{(197,1),(198,1),(209,1)}
       206:{3,5,6}:{(198,1),(199,1),(201,1),(209,1)}
       207:{1,4,6}:{(200,1),(201,1),(203,1),(209,1)}
       208:{1,2,6}:{(202,1),(203,1),(204,1)}
       209:{1,5,6}:{(205,1),(206,1),(207,1)}

1990 :   0:{1,3,4,5,7}:{(2,1),(3,1),(20,1),(57,1),(117,1),(131,1),(132,1),(171,1),(179,1),(181,1)}
         1:{1,4,5,6,7}:{(4,1),(25,1),(199,1)}
         2:{1,3,4,6}:{(0,1),(7,1),(9,1),(100,1),(190,1),(195,1),(196,1)}
         3:{1,2,4,5,7}:{(0,1),(9,1),(10,1),(37,1),(42,1),(96,1),(101,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(13,1),(206,1)}
         5:{2,3,4,5,7}:{(14,1),(15,1),(24,1),(53,1),(72,1),(133,1),(169,1),(170,1),(179,1),(200,1)}
         6:{3,4,5,6}:{(17,1),(18,1),(19,1),(68,1),(170,1),(201,1)}
         7:{1,3,5,6}:{(2,1),(18,1),(20,1),(21,1),(68,1),(117,1),(183,1)}
         8:{1,3,4,6,7}:{(2,1),(20,1),(22,1),(25,1),(74,1),(131,1),(135,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(21,1),(23,1),(70,1)}
        10:{2,3,5,7}:{(3,1),(23,1),(24,1),(72,1),(179,1)}
        11:{3,4,6,7}:{(4,1),(17,1),(25,1),(26,1),(74,1),(201,1)}
        12:{1,3,5,6,7}:{(4,1),(20,1),(25,1),(27,1),(74,1),(172,1)}
        13:{2,5,6,7}:{(4,1),(26,1),(209,1)}
        14:{2,3,4,6}:{(5,1),(30,1),(32,1),(144,1),(161,1),(195,1),(207,1)}
        15:{1,2,4,5,7}:{(5,1),(32,1),(33,1),(37,1),(83,1),(96,1),(145,1),(146,1)}
        16:{1,2,3,5,7}:{(10,1),(33,1),(36,1),(37,1),(96,1)}
        17:{3,4,5,7}:{(6,1),(11,1),(39,1),(40,1),(99,1)}
        18:{1,4,5,6}:{(6,1),(7,1),(39,1),(146,1),(190,1)}
        19:{2,4,5,6}:{(6,1),(38,1),(40,1),(188,1),(207,1)}
        20:{1,3,5,7}:{(7,1),(8,1),(39,1),(42,1),(99,1),(162,1)}
        21:{1,2,5,6}:{(7,1),(9,1),(42,1),(43,1),(96,1)}
        22:{1,2,4,6,7}:{(8,1),(9,1),(42,1),(44,1),(101,1)}
        23:{2,3,6}:{(9,1),(10,1),(195,1)}
        24:{2,3,4,7}:{(10,1),(37,1),(45,1),(101,1),(154,1)}
        25:{1,4,6,7}:{(11,1),(12,1),(39,1),(190,1)}
        26:{2,4,6,7}:{(11,1),(13,1),(40,1),(46,1),(207,1)}
        27:{1,2,5,6,7}:{(12,1),(13,1),(42,1),(47,1),(48,1),(157,1),(162,1)}
        28:{2,4,5,6,7}:{(49,1),(108,1),(137,1)}
        29:{3,4,5,6}:{(50,1),(51,1),(52,1),(113,1),(132,1),(182,1)}
        30:{2,3,5,6}:{(14,1),(52,1),(53,1),(54,1),(72,1),(113,1),(209,1)}
        31:{2,3,4,6,7}:{(14,1),(53,1),(55,1),(108,1),(165,1),(169,1),(197,1)}
        32:{1,2,4,6}:{(14,1),(15,1),(54,1),(56,1),(115,1)}
        33:{1,3,5,7}:{(15,1),(56,1),(57,1),(117,1),(179,1)}
        34:{2,3,4,5}:{(58,1),(59,1),(124,1),(132,1),(178,1)}
        35:{1,3,4,5}:{(60,1),(61,1),(121,1),(170,1),(176,1)}
        36:{1,2,3,6}:{(16,1),(23,1),(56,1),(64,1)}
        37:{1,2,4,7}:{(16,1),(24,1),(57,1),(64,1)}
        38:{2,3,5,6}:{(19,1),(58,1),(65,1),(66,1),(68,1),(178,1),(204,1)}
        39:{1,4,5,7}:{(17,1),(18,1),(20,1),(25,1)}
        40:{2,4,5,7}:{(17,1),(19,1),(26,1),(65,1)}
        41:{1,2,4,5,6}:{(18,1),(19,1),(21,1),(66,1),(67,1),(68,1),(70,1),(127,1),(130,1),(137,1),(180,1),(183,1)}
        42:{1,2,5,7}:{(20,1),(21,1),(22,1),(69,1)}
        43:{2,3,5,6}:{(21,1),(23,1),(68,1),(69,1),(70,1),(72,1)}
        44:{2,3,6,7}:{(22,1),(23,1),(69,1),(74,1)}
        45:{2,3,4,6}:{(23,1),(24,1),(64,1),(70,1),(72,1),(125,1)}
        46:{2,3,6,7}:{(26,1),(65,1),(73,1),(74,1),(204,1)}
        47:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(67,1),(73,1),(74,1),(75,1),(135,1),(180,1)}
        48:{2,3,5,6,7}:{(27,1),(69,1),(74,1),(75,1),(134,1),(136,1)}
        49:{3,5,6,7}:{(28,1),(76,1),(77,1),(163,1)}
        50:{3,4,5,7}:{(29,1),(76,1),(80,1),(81,1),(143,1)}
        51:{1,4,5,6}:{(29,1),(79,1),(80,1),(159,1),(196,1)}
        52:{2,4,5,6}:{(29,1),(30,1),(81,1),(102,1),(161,1)}
        53:{2,3,5,7}:{(30,1),(31,1),(81,1),(83,1),(143,1),(205,1)}
        54:{1,2,5,6}:{(30,1),(32,1),(83,1),(84,1),(96,1)}
        55:{1,2,4,6,7}:{(31,1),(32,1),(83,1),(85,1),(145,1)}
        56:{1,3,6}:{(32,1),(33,1),(195,1)}
        57:{1,3,4,7}:{(33,1),(37,1),(86,1),(145,1),(154,1)}
        58:{2,3,4,6}:{(34,1),(38,1),(87,1),(88,1),(100,1)}
        59:{1,2,4,5}:{(34,1),(88,1),(89,1),(149,1),(159,1),(192,1)}
        60:{1,3,4,6}:{(35,1),(79,1),(90,1),(91,1),(144,1)}
        61:{1,2,4,5}:{(35,1),(91,1),(92,1),(149,1),(188,1),(192,1)}
        62:{1,2,3,5,6}:{(36,1),(43,1),(84,1),(93,1),(94,1),(96,1),(98,1),(142,1),(148,1),(155,1),(157,1),(192,1),(195,1),(208,1)}
        63:{1,2,3,6,7}:{(36,1),(44,1),(85,1),(93,1),(95,1),(104,1),(184,1),(195,1),(208,1)}
        64:{1,2,4,6}:{(36,1),(37,1),(45,1),(86,1),(96,1)}
        65:{2,3,5,7}:{(38,1),(40,1),(46,1),(87,1),(97,1),(99,1)}
        66:{1,2,5,6}:{(38,1),(88,1),(97,1),(98,1),(192,1),(208,1)}
        67:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(42,1),(47,1),(97,1),(99,1),(101,1),(106,1),(158,1),(162,1)}
        68:{3,5,6}:{(41,1),(99,1),(100,1),(155,1),(195,1)}
        69:{2,3,5,7}:{(42,1),(43,1),(44,1),(99,1),(101,1)}
        70:{2,4,6}:{(43,1),(100,1),(101,1),(102,1)}
        71:{2,3,4,6,7}:{(44,1),(45,1),(95,1),(101,1),(103,1),(105,1),(154,1),(161,1),(195,1)}
        72:{2,3,5}:{(45,1),(96,1),(102,1),(155,1)}
        73:{1,2,6,7}:{(46,1),(97,1),(104,1),(208,1)}
        74:{3,6,7}:{(47,1),(99,1),(195,1)}
        75:{2,4,6,7}:{(48,1),(101,1),(105,1),(106,1),(161,1)}
        76:{3,4,6,7}:{(49,1),(50,1),(107,1),(108,1),(165,1),(182,1)}
        77:{1,5,6,7}:{(49,1),(107,1),(183,1)}
        78:{2,3,5,6,7}:{(49,1),(53,1),(108,1),(109,1),(134,1),(165,1)}
        79:{1,3,5,6}:{(51,1),(60,1),(110,1),(111,1),(113,1),(176,1),(203,1)}
        80:{1,4,5,7}:{(50,1),(51,1),(107,1),(110,1)}
        81:{2,4,5,7}:{(50,1),(52,1),(53,1),(108,1)}
        82:{1,2,4,5,6}:{(51,1),(52,1),(54,1),(111,1),(112,1),(113,1),(115,1),(127,1),(168,1),(180,1),(199,1),(209,1)}
        83:{1,2,5,7}:{(53,1),(54,1),(55,1),(114,1)}
        84:{1,3,5,6}:{(54,1),(56,1),(113,1),(114,1),(115,1),(117,1)}
        85:{1,3,6,7}:{(55,1),(56,1),(114,1),(165,1)}
        86:{1,3,4,6}:{(56,1),(57,1),(64,1),(115,1),(117,1),(125,1)}
        87:{2,3,4,7}:{(58,1),(65,1),(119,1),(131,1)}
        88:{1,2,4,6}:{(58,1),(59,1),(66,1),(119,1),(120,1),(130,1)}
        89:{1,3,5}:{(59,1),(120,1),(121,1)}
        90:{1,3,4,7}:{(60,1),(110,1),(122,1),(169,1)}
        91:{1,2,4,6}:{(60,1),(61,1),(111,1),(122,1),(123,1),(168,1)}
        92:{2,3,5}:{(61,1),(123,1),(124,1)}
        93:{1,2,3,5,7}:{(62,1),(63,1),(69,1),(114,1),(126,1),(128,1),(129,1),(167,1),(173,1),(179,1),(202,1)}
        94:{1,2,4,6}:{(62,1),(70,1),(115,1),(125,1),(126,1),(127,1),(130,1),(168,1)}
        95:{1,2,4,6,7}:{(63,1),(64,1),(71,1),(116,1),(126,1),(128,1),(135,1),(180,1),(197,1)}
        96:{1,2,5}:{(64,1),(72,1),(117,1)}
        97:{1,2,5,7}:{(65,1),(66,1),(73,1),(119,1),(129,1)}
        98:{1,3,5,6}:{(66,1),(68,1),(120,1),(129,1),(130,1),(176,1),(183,1),(203,1)}
        99:{3,5,7}:{(67,1),(68,1),(74,1),(131,1)}
       100:{3,4,6}:{(68,1),(70,1),(130,1),(131,1),(132,1)}
       101:{2,4,7}:{(69,1),(70,1),(131,1)}
       102:{2,4,5}:{(70,1),(72,1),(132,1)}
       103:{2,3,5,7}:{(71,1),(72,1),(128,1),(133,1),(134,1),(136,1),(179,1)}
       104:{1,3,6,7}:{(73,1),(74,1),(129,1),(135,1),(203,1)}
       105:{3,4,6,7}:{(74,1),(75,1),(131,1),(135,1),(136,1),(182,1)}
       106:{2,4,5,7}:{(75,1),(136,1),(137,1)}
       107:{1,4,6,7}:{(76,1),(77,1),(80,1),(138,1),(196,1)}
       108:{2,4,6,7}:{(76,1),(78,1),(81,1),(161,1)}
       109:{1,2,5,6,7}:{(77,1),(78,1),(83,1),(139,1),(140,1),(157,1),(205,1)}
       110:{1,3,5,7}:{(79,1),(80,1),(90,1),(138,1),(141,1),(143,1)}
       111:{1,2,5,6}:{(79,1),(91,1),(141,1),(142,1),(192,1),(208,1)}
       112:{1,2,4,5,7}:{(80,1),(81,1),(82,1),(83,1),(139,1),(141,1),(143,1),(145,1),(186,1),(187,1),(205,1)}
       113:{3,5,6}:{(82,1),(143,1),(144,1),(155,1),(195,1)}
       114:{1,3,5,7}:{(83,1),(84,1),(85,1),(143,1),(145,1)}
       115:{1,4,6}:{(84,1),(144,1),(145,1),(146,1)}
       116:{1,3,4,6,7}:{(85,1),(86,1),(95,1),(145,1),(147,1),(154,1),(185,1),(190,1),(195,1)}
       117:{1,3,5}:{(86,1),(96,1),(146,1),(155,1)}
       118:{1,2,3,5}:{(89,1),(92,1),(148,1),(149,1),(192,1)}
       119:{1,2,4,7}:{(87,1),(88,1),(97,1),(150,1),(158,1)}
       120:{1,3,6}:{(88,1),(89,1),(150,1)}
       121:{1,3,4}:{(89,1),(149,1)}
       122:{1,2,4,7}:{(90,1),(91,1),(141,1),(152,1),(187,1)}
       123:{2,3,6}:{(91,1),(92,1),(152,1)}
       124:{2,3,4}:{(92,1),(149,1)}
       125:{3,4,6}:{(94,1),(154,1),(155,1),(195,1)}
       126:{1,2,4,7}:{(93,1),(94,1),(101,1),(145,1),(154,1),(158,1),(187,1)}
       127:{1,2,4,5}:{(94,1),(96,1),(102,1),(146,1),(155,1),(159,1),(188,1),(192,1)}
       128:{1,2,5,7}:{(95,1),(96,1),(103,1),(147,1),(157,1),(162,1),(205,1)}
       129:{1,3,5,7}:{(97,1),(98,1),(99,1),(104,1),(150,1),(158,1),(162,1)}
       130:{1,4,6}:{(98,1),(100,1),(158,1),(159,1)}
       131:{3,4,7}:{(99,1),(100,1),(101,1),(158,1)}
       132:{3,4,5}:{(100,1),(102,1),(155,1),(159,1)}
       133:{2,4,5,7}:{(101,1),(102,1),(103,1),(160,1),(161,1)}
       134:{2,3,5,6}:{(103,1),(157,1),(161,1),(163,1),(195,1)}
       135:{1,4,6,7}:{(104,1),(105,1),(158,1),(162,1),(196,1)}
       136:{3,5,7}:{(105,1),(106,1),(162,1),(163,1)}
       137:{2,4,5,6}:{(106,1),(161,1),(163,1)}
       138:{1,3,6,7}:{(107,1),(110,1),(164,1),(165,1),(203,1)}
       139:{1,2,4,6,7}:{(107,1),(108,1),(109,1),(112,1),(164,1),(165,1),(166,1),(180,1),(197,1)}
       140:{1,3,5,6,7}:{(109,1),(114,1),(165,1),(166,1),(172,1),(198,1)}
       141:{1,2,5,7}:{(110,1),(111,1),(122,1),(164,1),(167,1)}
       142:{2,3,5,6}:{(111,1),(113,1),(123,1),(167,1),(168,1),(178,1),(204,1),(209,1)}
       143:{3,5,7}:{(112,1),(113,1),(165,1),(169,1)}
       144:{3,4,6}:{(113,1),(115,1),(168,1),(169,1),(170,1)}
       145:{1,4,7}:{(114,1),(115,1),(169,1)}
       146:{1,4,5}:{(115,1),(117,1),(170,1)}
       147:{1,3,5,7}:{(116,1),(117,1),(128,1),(171,1),(172,1),(179,1),(198,1)}
       148:{1,2,3,6}:{(118,1),(120,1),(123,1),(173,1),(174,1)}
       149:{1,2,4}:{(118,1),(121,1),(124,1)}
       150:{1,3,7}:{(119,1),(120,1)}
       151:{1,3,4,6}:{(120,1),(121,1),(125,1),(130,1),(174,1),(175,1),(176,1),(203,1)}
       152:{2,3,7}:{(122,1),(123,1)}
       153:{2,3,4,6}:{(123,1),(124,1),(125,1),(168,1),(174,1),(177,1),(178,1),(204,1)}
       154:{3,4,7}:{(125,1),(126,1),(179,1)}
       155:{3,5}:{(125,1),(127,1)}
       156:{1,2,4,5,7}:{(126,1),(127,1),(128,1),(133,1),(171,1),(179,1),(180,1),(181,1),(200,1),(202,1)}
       157:{1,2,5,6}:{(128,1),(134,1),(172,1),(180,1),(183,1),(209,1)}
       158:{1,4,7}:{(129,1),(130,1),(131,1)}
       159:{1,4,5}:{(130,1),(132,1),(176,1)}
       160:{3,4,5,7}:{(131,1),(132,1),(133,1),(136,1),(179,1),(181,1),(182,1)}
       161:{2,4,6}:{(133,1),(134,1),(182,1)}
       162:{1,5,7}:{(135,1),(136,1),(183,1)}
       163:{3,5,6}:{(136,1),(137,1),(182,1),(183,1)}
       164:{1,2,6,7}:{(138,1),(141,1),(184,1),(208,1)}
       165:{3,6,7}:{(139,1),(143,1),(195,1)}
       166:{1,4,6,7}:{(140,1),(145,1),(185,1),(186,1),(190,1)}
       167:{2,3,5,7}:{(141,1),(142,1),(143,1),(152,1),(184,1),(187,1),(205,1)}
       168:{2,4,6}:{(142,1),(144,1),(187,1),(188,1)}
       169:{3,4,7}:{(143,1),(144,1),(145,1),(187,1)}
       170:{3,4,5}:{(144,1),(146,1),(155,1),(188,1)}
       171:{1,4,5,7}:{(145,1),(146,1),(147,1),(189,1),(190,1)}
       172:{1,3,5,6}:{(147,1),(157,1),(190,1),(195,1),(206,1)}
       173:{1,2,3,7}:{(148,1),(150,1),(152,1),(191,1)}
       174:{1,2,4,6}:{(148,1),(149,1),(151,1),(153,1),(191,1),(192,1),(208,1)}
       175:{1,3,4,7}:{(150,1),(151,1),(154,1),(158,1),(191,1),(193,1)}
       176:{1,3,5}:{(151,1),(155,1),(159,1),(192,1)}
       177:{2,3,4,7}:{(152,1),(153,1),(154,1),(187,1),(191,1),(194,1)}
       178:{2,3,5}:{(153,1),(155,1),(188,1),(192,1)}
       179:{3,5,7}:{(154,1),(155,1),(156,1),(195,1)}
       180:{1,2,4,6}:{(156,1),(157,1),(161,1),(190,1),(195,1),(196,1),(207,1),(208,1)}
       181:{1,4,5,7}:{(158,1),(159,1),(160,1),(162,1),(193,1),(196,1)}
       182:{3,4,6}:{(160,1),(161,1),(163,1),(195,1),(196,1)}
       183:{1,5,6}:{(162,1),(163,1),(196,1)}
       184:{2,3,6,7}:{(164,1),(165,1),(167,1),(197,1),(204,1)}
       185:{3,4,6,7}:{(165,1),(166,1),(169,1),(197,1),(198,1),(201,1)}
       186:{1,4,5,7}:{(166,1),(198,1),(199,1)}
       187:{2,4,7}:{(167,1),(168,1),(169,1)}
       188:{2,4,5}:{(168,1),(170,1),(178,1)}
       189:{3,4,5,7}:{(169,1),(170,1),(171,1),(179,1),(198,1),(200,1),(201,1)}
       190:{1,4,6}:{(171,1),(172,1),(201,1)}
       191:{1,2,4,7}:{(173,1),(174,1),(175,1),(177,1),(202,1)}
       192:{1,2,5}:{(174,1),(176,1),(178,1)}
       193:{1,3,5,7}:{(175,1),(176,1),(179,1),(181,1),(202,1),(203,1)}
       194:{2,3,5,7}:{(177,1),(178,1),(179,1),(200,1),(202,1),(204,1)}
       195:{3,6}:{(179,1),(180,1)}
       196:{1,4,6}:{(181,1),(182,1),(183,1),(203,1)}
       197:{2,4,6,7}:{(184,1),(185,1),(187,1),(205,1),(207,1)}
       198:{3,5,7}:{(185,1),(186,1),(205,1),(206,1)}
       199:{1,4,5,6}:{(186,1),(190,1),(206,1)}
       200:{2,4,5,7}:{(187,1),(188,1),(189,1),(194,1),(205,1),(207,1)}
       201:{3,4,6}:{(189,1),(190,1),(195,1),(206,1),(207,1)}
       202:{1,2,5,7}:{(191,1),(192,1),(193,1),(194,1),(208,1)}
       203:{1,3,6}:{(193,1),(195,1),(196,1),(208,1)}
       204:{2,3,6}:{(194,1),(195,1),(207,1),(208,1)}
       205:{2,5,7}:{(197,1),(198,1),(209,1)}
       206:{3,5,6}:{(198,1),(199,1),(201,1),(209,1)}
       207:{2,4,6}:{(200,1),(201,1),(204,1),(209,1)}
       208:{1,2,6}:{(202,1),(203,1),(204,1)}
       209:{2,5,6}:{(205,1),(206,1),(207,1)}

1991 :   0:{1,3,5,6,7}:{(4,1),(5,1),(16,1),(27,1),(29,1),(56,1),(66,1)}
         1:{2,3,5,6,7}:{(4,1),(6,1),(20,1),(28,1),(29,1),(50,1),(67,1)}
         2:{1,3,4,6,7}:{(7,1),(8,1),(14,1),(33,1),(48,1),(70,1),(72,1),(84,1),(107,1),(112,1),(119,1)}
         3:{2,3,4,6,7}:{(9,1),(10,1),(15,1),(38,1),(49,1),(76,1),(78,1),(85,1),(108,1),(113,1),(119,1)}
         4:{1,2,5,6,7}:{(0,1),(1,1),(13,1),(32,1),(37,1),(46,1),(47,1),(86,1)}
         5:{1,4,6,7}:{(0,1),(11,1),(14,1),(33,1),(75,1),(84,1)}
         6:{2,4,6,7}:{(1,1),(12,1),(15,1),(38,1),(69,1),(85,1)}
         7:{1,2,4,6,7}:{(2,1),(17,1),(18,1),(30,1),(51,1),(53,1),(68,1),(105,1),(126,1)}
         8:{1,3,5,7}:{(2,1),(16,1),(18,1),(19,1),(27,1),(54,1),(120,1),(124,1)}
         9:{1,2,4,6,7}:{(3,1),(21,1),(22,1),(31,1),(57,1),(59,1),(68,1),(105,1),(122,1)}
        10:{2,3,5,7}:{(3,1),(20,1),(22,1),(23,1),(28,1),(60,1),(121,1),(125,1)}
        11:{1,4,5,7}:{(5,1),(24,1),(27,1),(94,1)}
        12:{2,4,5,7}:{(6,1),(25,1),(28,1),(87,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(6,1),(26,1),(29,1),(30,1),(31,1),(51,1),(57,1),(68,1),(105,1)}
        14:{3,4,6,7}:{(5,1),(27,1),(29,1),(30,1),(52,1),(65,1),(95,1)}
        15:{3,4,6,7}:{(6,1),(28,1),(29,1),(31,1),(58,1),(65,1),(88,1)}
        16:{1,3,5,6}:{(8,1),(32,1),(33,1),(43,1),(70,1)}
        17:{2,3,6,7}:{(7,1),(34,1),(70,1),(119,1),(133,1)}
        18:{1,2,5,7}:{(7,1),(8,1),(32,1),(34,1),(46,1),(132,1)}
        19:{1,4,5,7}:{(8,1),(33,1),(36,1),(84,1),(116,1)}
        20:{2,3,5,6}:{(10,1),(37,1),(38,1),(44,1),(76,1)}
        21:{1,3,6,7}:{(9,1),(39,1),(76,1),(119,1),(131,1)}
        22:{1,2,5,7}:{(9,1),(10,1),(37,1),(39,1),(47,1),(130,1)}
        23:{2,4,5,7}:{(10,1),(38,1),(41,1),(85,1),(117,1)}
        24:{1,4,5,6}:{(11,1),(33,1),(43,1)}
        25:{2,4,5,6}:{(12,1),(38,1),(44,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(42,1),(45,1),(46,1),(47,1),(84,1),(85,1),(86,1)}
        27:{3,5,7}:{(11,1),(14,1),(43,1),(46,1),(111,1)}
        28:{3,5,7}:{(12,1),(15,1),(44,1),(47,1),(106,1)}
        29:{3,6,7}:{(13,1),(45,1),(70,1),(76,1),(119,1)}
        30:{2,4,6,7}:{(14,1),(46,1),(49,1),(71,1),(85,1),(113,1)}
        31:{1,4,6,7}:{(15,1),(47,1),(48,1),(77,1),(84,1),(107,1)}
        32:{1,2,5,6}:{(16,1),(18,1),(50,1),(51,1),(63,1),(120,1)}
        33:{1,4,6}:{(16,1),(19,1),(52,1)}
        34:{2,3,5,7}:{(17,1),(18,1),(50,1),(53,1),(54,1),(136,1)}
        35:{1,2,4,5,7}:{(18,1),(19,1),(51,1),(53,1),(54,1),(55,1),(87,1),(91,1),(93,1),(105,1),(120,1),(128,1)}
        36:{3,4,5,7}:{(19,1),(27,1),(52,1),(54,1),(55,1),(65,1),(101,1)}
        37:{1,2,5,6}:{(20,1),(22,1),(56,1),(57,1),(64,1),(125,1)}
        38:{2,4,6}:{(20,1),(23,1),(58,1)}
        39:{1,3,5,7}:{(21,1),(22,1),(56,1),(59,1),(60,1),(135,1)}
        40:{1,2,4,5,7}:{(22,1),(23,1),(57,1),(59,1),(60,1),(61,1),(94,1),(99,1),(100,1),(105,1),(125,1),(128,1)}
        41:{3,4,5,7}:{(23,1),(28,1),(58,1),(60,1),(61,1),(65,1),(101,1)}
        42:{1,2,4,5,6}:{(24,1),(25,1),(26,1),(51,1),(57,1),(62,1),(63,1),(64,1),(87,1),(94,1),(102,1),(103,1),(104,1),(120,1),(125,1),(128,1)}
        43:{3,5,6}:{(24,1),(27,1),(52,1),(63,1)}
        44:{3,5,6}:{(25,1),(28,1),(58,1),(64,1)}
        45:{3,5,7}:{(26,1),(29,1),(62,1),(65,1)}
        46:{2,5,7}:{(27,1),(30,1),(63,1),(125,1)}
        47:{1,5,7}:{(28,1),(31,1),(64,1),(120,1)}
        48:{1,3,6,7}:{(29,1),(31,1),(66,1),(68,1),(89,1),(96,1)}
        49:{2,3,6,7}:{(29,1),(30,1),(67,1),(68,1),(90,1),(97,1)}
        50:{2,3,5,6}:{(32,1),(34,1),(69,1),(70,1),(106,1)}
        51:{1,2,4,6}:{(32,1),(33,1),(35,1),(69,1),(70,1),(71,1),(107,1),(109,1)}
        52:{3,4,6}:{(33,1),(36,1),(43,1),(70,1),(71,1)}
        53:{2,4,7}:{(34,1),(69,1),(72,1),(139,1)}
        54:{3,5,7}:{(35,1),(70,1),(72,1),(106,1),(119,1),(134,1)}
        55:{2,4,5,7}:{(36,1),(46,1),(71,1),(74,1),(85,1),(117,1)}
        56:{1,3,5,6}:{(37,1),(39,1),(75,1),(76,1),(111,1)}
        57:{1,2,4,6}:{(37,1),(38,1),(40,1),(75,1),(76,1),(77,1),(113,1),(114,1)}
        58:{3,4,6}:{(38,1),(41,1),(44,1),(76,1),(77,1)}
        59:{1,4,7}:{(39,1),(75,1),(78,1),(138,1)}
        60:{3,5,7}:{(40,1),(76,1),(78,1),(111,1),(119,1),(134,1)}
        61:{1,4,5,7}:{(41,1),(47,1),(77,1),(79,1),(84,1),(116,1)}
        62:{3,5,6}:{(42,1),(45,1),(70,1),(76,1),(81,1),(106,1),(111,1),(134,1)}
        63:{2,5,6}:{(43,1),(46,1),(71,1)}
        64:{1,5,6}:{(44,1),(47,1),(77,1)}
        65:{3,4,7}:{(45,1),(81,1),(84,1),(85,1),(119,1)}
        66:{1,3,5,7}:{(45,1),(47,1),(48,1),(82,1),(84,1),(86,1),(119,1)}
        67:{2,3,5,7}:{(45,1),(46,1),(49,1),(83,1),(85,1),(86,1),(119,1)}
        68:{1,2,6,7}:{(48,1),(49,1),(86,1),(109,1),(114,1)}
        69:{2,4,6}:{(50,1),(53,1),(87,1),(88,1)}
        70:{3,6}:{(51,1),(54,1)}
        71:{2,4,6}:{(52,1),(55,1),(63,1),(90,1)}
        72:{3,4,7}:{(53,1),(54,1),(88,1),(91,1),(137,1)}
        73:{1,3,5,7}:{(54,1),(89,1),(91,1),(93,1),(120,1),(123,1),(135,1)}
        74:{2,3,5,7}:{(54,1),(55,1),(90,1),(92,1),(93,1),(121,1)}
        75:{1,4,6}:{(56,1),(59,1),(94,1),(95,1)}
        76:{3,6}:{(57,1),(60,1)}
        77:{1,4,6}:{(58,1),(61,1),(64,1),(96,1)}
        78:{3,4,7}:{(59,1),(60,1),(95,1),(99,1),(137,1)}
        79:{1,3,5,7}:{(60,1),(61,1),(96,1),(98,1),(100,1),(124,1)}
        80:{2,3,5,7}:{(60,1),(97,1),(99,1),(100,1),(125,1),(127,1),(136,1)}
        81:{3,4,6}:{(62,1),(65,1),(101,1),(102,1),(103,1),(129,1),(137,1)}
        82:{1,3,5,6}:{(62,1),(64,1),(66,1),(89,1),(96,1),(102,1),(104,1),(120,1),(124,1),(129,1),(135,1)}
        83:{2,3,5,6}:{(62,1),(63,1),(67,1),(90,1),(97,1),(103,1),(104,1),(121,1),(125,1),(129,1),(136,1)}
        84:{1,4,7}:{(65,1),(66,1),(102,1)}
        85:{2,4,7}:{(65,1),(67,1),(103,1)}
        86:{1,2,5,7}:{(66,1),(67,1),(68,1),(104,1),(105,1)}
        87:{2,4,5}:{(69,1),(106,1)}
        88:{3,4,6}:{(69,1),(70,1),(72,1),(106,1),(107,1)}
        89:{1,3,6}:{(70,1),(73,1),(107,1),(109,1)}
        90:{2,3,6}:{(70,1),(71,1),(74,1),(109,1)}
        91:{1,4,7}:{(72,1),(73,1),(107,1),(138,1)}
        92:{2,3,4,7}:{(72,1),(74,1),(85,1),(108,1),(110,1),(119,1)}
        93:{1,2,5,7}:{(73,1),(74,1),(109,1),(110,1),(130,1)}
        94:{1,4,5}:{(75,1),(111,1)}
        95:{3,4,6}:{(75,1),(76,1),(78,1),(111,1),(113,1)}
        96:{1,3,6}:{(76,1),(77,1),(79,1),(114,1)}
        97:{2,3,6}:{(76,1),(80,1),(113,1),(114,1)}
        98:{1,3,4,7}:{(78,1),(79,1),(84,1),(112,1),(115,1),(119,1)}
        99:{2,4,7}:{(78,1),(80,1),(113,1),(139,1)}
       100:{1,2,5,7}:{(79,1),(80,1),(114,1),(115,1),(132,1)}
       101:{3,4,5}:{(81,1),(106,1),(111,1),(116,1),(117,1),(134,1)}
       102:{1,4,6}:{(81,1),(82,1),(84,1),(116,1),(138,1)}
       103:{2,4,6}:{(81,1),(83,1),(85,1),(117,1),(139,1)}
       104:{1,2,5,6}:{(82,1),(83,1),(86,1),(109,1),(114,1),(118,1),(130,1),(132,1)}
       105:{1,2,4,7}:{(84,1),(85,1),(86,1),(118,1),(119,1)}
       106:{3,5}:{(87,1),(88,1),(120,1)}
       107:{1,4,6}:{(88,1),(89,1),(91,1),(120,1)}
       108:{2,3,4,6}:{(88,1),(90,1),(92,1),(103,1),(121,1),(122,1),(129,1),(137,1)}
       109:{1,2,6}:{(89,1),(90,1),(93,1)}
       110:{1,2,4,7}:{(91,1),(92,1),(93,1),(122,1),(123,1)}
       111:{3,5}:{(94,1),(95,1),(125,1)}
       112:{1,3,4,6}:{(95,1),(96,1),(98,1),(102,1),(124,1),(126,1),(129,1),(137,1)}
       113:{2,4,6}:{(95,1),(97,1),(99,1),(125,1)}
       114:{1,2,6}:{(96,1),(97,1),(100,1)}
       115:{1,2,4,7}:{(98,1),(99,1),(100,1),(126,1),(127,1)}
       116:{1,4,5}:{(101,1),(102,1),(120,1),(124,1)}
       117:{2,4,5}:{(101,1),(103,1),(121,1),(125,1)}
       118:{1,2,4,6}:{(102,1),(103,1),(104,1),(105,1),(128,1),(129,1)}
       119:{3,7}:{(105,1),(129,1)}
       120:{1,5}:{(106,1),(107,1)}
       121:{2,3,5}:{(106,1),(108,1),(117,1),(130,1),(134,1)}
       122:{1,2,4,6}:{(107,1),(108,1),(109,1),(110,1),(130,1),(131,1),(138,1)}
       123:{1,3,7}:{(110,1),(119,1),(131,1)}
       124:{1,3,5}:{(111,1),(112,1),(116,1),(132,1),(134,1)}
       125:{2,5}:{(111,1),(113,1)}
       126:{1,2,4,6}:{(112,1),(113,1),(114,1),(115,1),(132,1),(133,1),(139,1)}
       127:{2,3,7}:{(115,1),(119,1),(133,1)}
       128:{1,2,4,5}:{(116,1),(117,1),(118,1),(130,1),(132,1),(134,1),(138,1),(139,1)}
       129:{3,6}:{(118,1),(119,1),(134,1)}
       130:{1,2,5}:{(120,1),(121,1),(122,1),(135,1)}
       131:{1,3,6}:{(122,1),(123,1),(129,1),(135,1)}
       132:{1,2,5}:{(124,1),(125,1),(126,1),(136,1)}
       133:{2,3,6}:{(126,1),(127,1),(129,1),(136,1)}
       134:{3,5}:{(128,1),(129,1),(137,1)}
       135:{1,3,5}:{(130,1),(131,1),(134,1),(138,1)}
       136:{2,3,5}:{(132,1),(133,1),(134,1),(139,1)}
       137:{3,4}:{(134,1),(138,1),(139,1)}
       138:{1,4}:{(135,1),(137,1)}
       139:{2,4}:{(136,1),(137,1)}

1992 :   0:{1,2,4,5,6,7}:{(1,1),(8,1),(9,1),(10,1),(19,1),(29,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(35,1),(46,1)}
         2:{1,2,3,5,6,7}:{(6,1),(10,1),(20,1),(30,1),(55,1),(56,1),(57,1),(58,1),(60,1),(62,1),(102,1),(103,1),(147,1),(163,1),(166,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(30,1),(51,1),(64,1)}
         4:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(25,1),(30,1),(55,1),(60,1)}
         5:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(23,1),(30,1),(56,1),(62,1)}
         6:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(73,1),(74,1),(81,1),(83,1),(128,1),(171,1),(173,1)}
         7:{3,4,5,7}:{(3,1),(15,1),(16,1),(17,1),(46,1)}
         8:{1,4,6,7}:{(3,1),(4,1),(16,1),(73,1),(81,1)}
         9:{2,4,6,7}:{(3,1),(5,1),(17,1),(74,1),(83,1)}
        10:{1,2,5,6,7}:{(4,1),(5,1),(18,1),(40,1),(43,1),(78,1)}
        11:{1,2,4,5,7}:{(6,1),(19,1),(20,1),(52,1),(53,1),(57,1),(149,1)}
        12:{3,4,6,7}:{(6,1),(20,1),(30,1),(51,1),(64,1),(147,1),(148,1),(169,1)}
        13:{2,3,4,6,7}:{(9,1),(23,1),(24,1),(30,1),(49,1),(64,1)}
        14:{1,3,4,6,7}:{(8,1),(25,1),(26,1),(30,1),(47,1),(64,1)}
        15:{3,4,5,6}:{(7,1),(27,1),(28,1),(51,1),(63,1),(170,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(25,1),(27,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(23,1),(28,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(29,1),(30,1),(100,1)}
        19:{1,2,4,5,6}:{(11,1),(35,1),(73,1),(74,1),(78,1)}
        20:{3,5,7}:{(11,1),(12,1),(35,1),(162,1)}
        21:{1,3,4,6,7}:{(12,1),(36,1),(38,1),(41,1),(73,1),(81,1),(121,1),(126,1),(127,1),(152,1),(153,1),(171,1)}
        22:{2,3,4,6,7}:{(12,1),(37,1),(38,1),(44,1),(74,1),(83,1),(114,1),(126,1),(127,1),(157,1),(158,1),(173,1)}
        23:{2,3,5,7}:{(13,1),(17,1),(39,1),(40,1),(46,1)}
        24:{1,2,4,6,7}:{(13,1),(40,1),(41,1),(69,1),(81,1)}
        25:{1,3,5,7}:{(14,1),(16,1),(42,1),(43,1),(46,1)}
        26:{1,2,4,6,7}:{(14,1),(43,1),(44,1),(66,1),(83,1)}
        27:{1,4,5,6}:{(15,1),(16,1),(42,1),(73,1),(172,1)}
        28:{2,4,5,6}:{(15,1),(17,1),(39,1),(74,1),(174,1)}
        29:{1,2,4,5,7}:{(16,1),(17,1),(18,1),(40,1),(43,1),(45,1),(46,1),(81,1),(83,1)}
        30:{3,6,7}:{(18,1),(46,1),(126,1)}
        31:{1,3,4,5,7}:{(25,1),(47,1),(48,1),(52,1),(64,1),(101,1),(107,1),(135,1),(165,1)}
        32:{2,3,4,5,7}:{(23,1),(49,1),(50,1),(53,1),(64,1),(101,1),(107,1),(142,1),(168,1)}
        33:{3,4,5,7}:{(20,1),(51,1),(52,1),(53,1),(64,1),(101,1),(107,1),(169,1),(170,1)}
        34:{1,2,4,5,6,7}:{(19,1),(54,1),(98,1),(99,1),(102,1),(145,1)}
        35:{3,5,6}:{(19,1),(20,1),(51,1)}
        36:{1,3,5,7}:{(20,1),(21,1),(52,1),(55,1),(57,1),(101,1),(144,1),(165,1)}
        37:{2,3,5,7}:{(20,1),(22,1),(53,1),(56,1),(57,1),(101,1),(137,1),(168,1)}
        38:{1,2,4,6,7}:{(21,1),(22,1),(57,1),(58,1),(100,1),(104,1),(136,1),(143,1)}
        39:{2,3,5,6}:{(23,1),(28,1),(49,1),(59,1),(63,1),(168,1)}
        40:{1,2,5,7}:{(23,1),(24,1),(59,1),(60,1)}
        41:{1,3,6,7}:{(24,1),(30,1),(60,1),(93,1)}
        42:{1,3,5,6}:{(25,1),(27,1),(47,1),(61,1),(63,1),(165,1)}
        43:{1,2,5,7}:{(25,1),(26,1),(61,1),(62,1)}
        44:{2,3,6,7}:{(26,1),(30,1),(62,1),(88,1)}
        45:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(59,1),(61,1),(63,1),(100,1),(105,1),(106,1),(149,1)}
        46:{3,5,7}:{(29,1),(30,1),(63,1),(64,1)}
        47:{1,3,4,6}:{(31,1),(42,1),(66,1),(73,1),(84,1),(126,1)}
        48:{1,2,4,5,7}:{(31,1),(43,1),(66,1),(67,1),(83,1),(113,1),(130,1),(154,1)}
        49:{2,3,4,6}:{(32,1),(39,1),(69,1),(74,1),(84,1),(126,1)}
        50:{1,2,4,5,7}:{(32,1),(40,1),(69,1),(70,1),(81,1),(120,1),(129,1),(159,1)}
        51:{3,4,6}:{(33,1),(35,1),(73,1),(74,1),(126,1)}
        52:{1,4,5,7}:{(33,1),(36,1),(73,1),(81,1),(129,1),(171,1),(172,1)}
        53:{2,4,5,7}:{(33,1),(37,1),(74,1),(83,1),(130,1),(173,1),(174,1)}
        54:{3,5,6,7}:{(34,1),(35,1),(72,1),(160,1)}
        55:{1,3,5,6}:{(35,1),(36,1),(73,1),(78,1),(126,1)}
        56:{2,3,5,6}:{(35,1),(37,1),(74,1),(78,1),(126,1)}
        57:{1,2,5,7}:{(36,1),(37,1),(38,1),(78,1),(154,1),(159,1)}
        58:{1,2,3,6,7}:{(38,1),(41,1),(44,1),(79,1),(112,1),(119,1),(126,1),(152,1),(157,1)}
        59:{1,2,5,6}:{(39,1),(40,1),(69,1),(80,1),(159,1)}
        60:{1,3,5,7}:{(40,1),(41,1),(46,1),(80,1),(81,1)}
        61:{1,2,5,6}:{(42,1),(43,1),(66,1),(82,1),(154,1)}
        62:{2,3,5,7}:{(43,1),(44,1),(46,1),(82,1),(83,1)}
        63:{3,5,6}:{(45,1),(46,1),(84,1),(126,1),(162,1)}
        64:{3,4,7}:{(46,1),(81,1),(83,1),(84,1)}
        65:{2,3,4,5,7}:{(53,1),(85,1),(86,1),(89,1),(101,1),(131,1),(137,1),(169,1),(170,1)}
        66:{1,2,4,6}:{(47,1),(48,1),(61,1),(88,1),(106,1)}
        67:{2,3,5,7}:{(48,1),(88,1),(89,1),(101,1),(137,1)}
        68:{1,3,4,5,7}:{(52,1),(90,1),(91,1),(94,1),(101,1),(138,1),(144,1),(169,1),(170,1)}
        69:{1,2,4,6}:{(49,1),(50,1),(59,1),(93,1),(105,1)}
        70:{1,3,5,7}:{(50,1),(93,1),(94,1),(101,1),(144,1)}
        71:{3,4,5,6}:{(51,1),(95,1),(96,1),(97,1),(107,1),(146,1)}
        72:{3,4,6,7}:{(51,1),(54,1),(95,1),(98,1),(99,1),(147,1),(169,1)}
        73:{1,4,6}:{(51,1),(52,1),(55,1)}
        74:{2,4,6}:{(51,1),(53,1),(56,1)}
        75:{1,2,4,5,7}:{(52,1),(53,1),(57,1),(100,1),(101,1),(104,1),(149,1)}
        76:{1,3,5,6,7}:{(54,1),(55,1),(98,1),(102,1),(138,1),(147,1),(163,1)}
        77:{2,3,5,6,7}:{(54,1),(56,1),(99,1),(102,1),(131,1),(147,1),(166,1)}
        78:{1,2,5,6}:{(55,1),(56,1),(57,1),(100,1)}
        79:{1,2,3,5,7}:{(57,1),(58,1),(60,1),(62,1),(101,1),(103,1),(104,1),(163,1),(166,1)}
        80:{1,3,5,6}:{(59,1),(60,1),(63,1),(93,1),(105,1),(144,1)}
        81:{1,4,7}:{(60,1),(64,1),(105,1)}
        82:{2,3,5,6}:{(61,1),(62,1),(63,1),(88,1),(106,1),(137,1)}
        83:{2,4,7}:{(62,1),(64,1),(106,1)}
        84:{3,4,6}:{(63,1),(64,1),(105,1),(106,1),(107,1)}
        85:{2,3,4,6}:{(65,1),(74,1),(108,1),(110,1),(126,1),(161,1)}
        86:{1,2,4,5,7}:{(65,1),(110,1),(111,1),(113,1),(150,1),(154,1),(171,1),(172,1)}
        87:{1,2,3,5,7}:{(67,1),(111,1),(112,1),(113,1),(154,1)}
        88:{2,3,6}:{(66,1),(67,1),(126,1)}
        89:{2,3,4,7}:{(67,1),(83,1),(113,1),(114,1),(127,1)}
        90:{1,3,4,6}:{(68,1),(73,1),(115,1),(117,1),(126,1),(161,1)}
        91:{1,2,4,5,7}:{(68,1),(117,1),(118,1),(120,1),(155,1),(159,1),(173,1),(174,1)}
        92:{1,2,3,5,7}:{(70,1),(118,1),(119,1),(120,1),(159,1)}
        93:{1,3,6}:{(69,1),(70,1),(126,1)}
        94:{1,3,4,7}:{(70,1),(81,1),(120,1),(121,1),(127,1)}
        95:{3,4,5,7}:{(71,1),(72,1),(122,1),(123,1),(160,1)}
        96:{1,4,5,6}:{(71,1),(73,1),(115,1),(122,1),(129,1)}
        97:{2,4,5,6}:{(71,1),(74,1),(108,1),(123,1),(130,1)}
        98:{1,4,6,7}:{(72,1),(73,1),(76,1),(122,1),(171,1)}
        99:{2,4,6,7}:{(72,1),(74,1),(77,1),(123,1),(173,1)}
       100:{1,2,4,6}:{(73,1),(74,1),(75,1),(78,1),(126,1)}
       101:{3,5,7}:{(75,1),(126,1),(127,1),(162,1)}
       102:{1,2,5,6,7}:{(76,1),(77,1),(78,1),(125,1),(150,1),(155,1)}
       103:{1,2,3,5,6}:{(78,1),(79,1),(80,1),(82,1),(112,1),(119,1),(126,1),(128,1),(151,1),(154,1),(156,1),(159,1),(162,1)}
       104:{1,2,4,7}:{(79,1),(81,1),(83,1),(127,1),(128,1),(171,1),(173,1)}
       105:{1,4,6}:{(80,1),(81,1),(84,1),(129,1)}
       106:{2,4,6}:{(82,1),(83,1),(84,1),(130,1)}
       107:{3,4,5}:{(84,1),(129,1),(130,1),(162,1)}
       108:{2,3,5,6}:{(85,1),(97,1),(131,1),(132,1),(137,1),(146,1)}
       109:{2,3,4,6,7}:{(85,1),(99,1),(131,1),(133,1),(147,1),(169,1)}
       110:{1,2,4,6}:{(85,1),(86,1),(132,1),(134,1),(164,1)}
       111:{1,3,5,7}:{(86,1),(101,1),(134,1),(135,1),(165,1)}
       112:{1,2,3,6}:{(87,1),(88,1),(134,1),(136,1)}
       113:{1,2,4,7}:{(87,1),(89,1),(135,1),(136,1)}
       114:{2,3,4,6}:{(88,1),(89,1),(106,1),(136,1),(137,1),(148,1)}
       115:{1,3,5,6}:{(90,1),(96,1),(138,1),(139,1),(144,1),(146,1)}
       116:{1,3,4,6,7}:{(90,1),(98,1),(138,1),(140,1),(147,1),(169,1)}
       117:{1,2,4,6}:{(90,1),(91,1),(139,1),(141,1),(167,1)}
       118:{2,3,5,7}:{(91,1),(101,1),(141,1),(142,1),(168,1)}
       119:{1,2,3,6}:{(92,1),(93,1),(141,1),(143,1)}
       120:{1,2,4,7}:{(92,1),(94,1),(142,1),(143,1)}
       121:{1,3,4,6}:{(93,1),(94,1),(105,1),(143,1),(144,1),(148,1)}
       122:{1,4,5,7}:{(95,1),(96,1),(98,1),(138,1)}
       123:{2,4,5,7}:{(95,1),(97,1),(99,1),(131,1)}
       124:{1,2,4,5,6}:{(96,1),(97,1),(100,1),(132,1),(139,1),(145,1),(146,1),(149,1),(164,1),(167,1)}
       125:{1,2,4,6,7}:{(98,1),(99,1),(100,1),(102,1),(145,1),(147,1)}
       126:{3,6}:{(100,1),(101,1)}
       127:{3,4,7}:{(101,1),(104,1),(148,1)}
       128:{1,2,4,6}:{(103,1),(104,1),(105,1),(106,1),(148,1),(149,1),(164,1),(167,1)}
       129:{1,4,5}:{(105,1),(107,1),(144,1)}
       130:{2,4,5}:{(106,1),(107,1),(137,1)}
       131:{2,3,5,7}:{(108,1),(109,1),(123,1),(150,1),(160,1)}
       132:{1,2,5,6}:{(108,1),(110,1),(150,1),(151,1),(154,1)}
       133:{1,2,4,6,7}:{(109,1),(110,1),(150,1),(152,1),(171,1)}
       134:{1,3,6}:{(110,1),(111,1),(126,1)}
       135:{1,3,4,7}:{(111,1),(113,1),(127,1),(153,1),(171,1)}
       136:{1,2,4,6}:{(112,1),(113,1),(114,1),(153,1),(154,1)}
       137:{2,3,5}:{(114,1),(130,1),(154,1),(162,1)}
       138:{1,3,5,7}:{(115,1),(116,1),(122,1),(155,1),(160,1)}
       139:{1,2,5,6}:{(115,1),(117,1),(155,1),(156,1),(159,1)}
       140:{1,2,4,6,7}:{(116,1),(117,1),(155,1),(157,1),(173,1)}
       141:{2,3,6}:{(117,1),(118,1),(126,1)}
       142:{2,3,4,7}:{(118,1),(120,1),(127,1),(158,1),(173,1)}
       143:{1,2,4,6}:{(119,1),(120,1),(121,1),(158,1),(159,1)}
       144:{1,3,5}:{(121,1),(129,1),(159,1),(162,1)}
       145:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(125,1),(150,1),(155,1),(160,1),(171,1),(173,1)}
       146:{3,5,6}:{(124,1),(126,1),(160,1),(161,1),(162,1)}
       147:{3,6,7}:{(125,1),(126,1),(160,1)}
       148:{3,4,6}:{(126,1),(127,1),(128,1),(162,1)}
       149:{1,2,4,5}:{(128,1),(129,1),(130,1),(154,1),(159,1),(162,1),(172,1),(174,1)}
       150:{1,2,5,7}:{(131,1),(132,1),(133,1),(163,1)}
       151:{1,3,5,6}:{(132,1),(134,1),(146,1),(163,1),(164,1),(165,1)}
       152:{1,3,6,7}:{(133,1),(134,1),(147,1),(163,1)}
       153:{1,3,4,6}:{(134,1),(135,1),(136,1),(148,1),(164,1),(165,1)}
       154:{1,2,5}:{(136,1),(137,1),(165,1)}
       155:{1,2,5,7}:{(138,1),(139,1),(140,1),(166,1)}
       156:{2,3,5,6}:{(139,1),(141,1),(146,1),(166,1),(167,1),(168,1)}
       157:{2,3,6,7}:{(140,1),(141,1),(147,1),(166,1)}
       158:{2,3,4,6}:{(141,1),(142,1),(143,1),(148,1),(167,1),(168,1)}
       159:{1,2,5}:{(143,1),(144,1),(168,1)}
       160:{3,5,7}:{(145,1),(146,1),(147,1),(169,1)}
       161:{3,4,6}:{(146,1),(164,1),(167,1),(169,1),(170,1)}
       162:{3,5}:{(148,1),(149,1)}
       163:{1,3,5,7}:{(150,1),(151,1),(152,1),(160,1),(171,1)}
       164:{1,4,6}:{(151,1),(161,1),(171,1),(172,1)}
       165:{1,3,5}:{(153,1),(154,1),(162,1),(172,1)}
       166:{2,3,5,7}:{(155,1),(156,1),(157,1),(160,1),(173,1)}
       167:{2,4,6}:{(156,1),(161,1),(173,1),(174,1)}
       168:{2,3,5}:{(158,1),(159,1),(162,1),(174,1)}
       169:{3,4,7}:{(160,1),(161,1),(171,1),(173,1)}
       170:{3,4,5}:{(161,1),(162,1),(172,1),(174,1)}
       171:{1,4,7}:{(163,1),(164,1),(169,1)}
       172:{1,4,5}:{(164,1),(165,1),(170,1)}
       173:{2,4,7}:{(166,1),(167,1),(169,1)}
       174:{2,4,5}:{(167,1),(168,1),(170,1)}

1993 :   0:{1,2,3,4,6}:{(1,1),(2,1),(3,1),(4,1),(14,1),(17,1),(21,1),(22,1)}
         1:{1,2,3,4}:{(5,1)}
         2:{1,2,3,4}:{(7,1)}
         3:{1,2,3,4,7}:{(0,1),(10,1),(29,1),(34,1),(41,1)}
         4:{1,2,3,5}:{(0,1),(9,1)}
         5:{1,2,3,5}:{(1,1),(13,1),(14,1)}
         6:{1,3,4,5}:{(13,1),(15,1),(19,1)}
         7:{1,2,3,5}:{(2,1),(16,1),(17,1)}
         8:{2,3,4,5}:{(16,1),(18,1),(19,1)}
         9:{1,2,4,5}:{(4,1),(19,1),(21,1)}
        10:{1,2,3,5,7}:{(3,1),(4,1),(20,1),(22,1)}
        11:{1,2,3,5,6}:{(4,1),(14,1),(17,1),(21,1),(22,1),(23,1),(47,1),(51,1),(54,1),(58,1)}
        12:{3,4,5,6}:{(24,1),(25,1),(26,1),(54,1),(88,1)}
        13:{1,2,4,5}:{(5,1),(6,1),(27,1),(28,1)}
        14:{1,2,3,6}:{(5,1),(28,1),(29,1)}
        15:{1,3,4,6}:{(6,1),(28,1),(30,1),(31,1),(38,1)}
        16:{1,2,4,5}:{(7,1),(8,1),(32,1),(33,1)}
        17:{1,2,3,6}:{(7,1),(33,1),(34,1)}
        18:{2,3,4,6}:{(8,1),(33,1),(35,1),(36,1),(38,1)}
        19:{3,4,5}:{(9,1),(38,1)}
        20:{1,2,4,5,7}:{(9,1),(10,1),(37,1),(40,1),(41,1),(76,1)}
        21:{1,2,4,6}:{(9,1),(11,1),(38,1),(41,1)}
        22:{1,2,3,6}:{(10,1),(40,1)}
        23:{1,2,3,5,7}:{(11,1),(29,1),(34,1),(41,1),(42,1),(65,1),(69,1),(72,1),(76,1)}
        24:{1,4,5,6}:{(12,1),(30,1),(43,1)}
        25:{2,4,5,6}:{(12,1),(35,1),(44,1)}
        26:{3,4,5,7}:{(12,1),(43,1),(44,1),(45,1),(72,1),(97,1)}
        27:{2,3,4,5}:{(13,1),(19,1),(46,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(15,1),(46,1),(47,1),(48,1)}
        29:{1,2,3,7}:{(14,1),(48,1)}
        30:{1,3,5,6}:{(15,1),(24,1),(47,1),(49,1),(54,1)}
        31:{1,3,4,7}:{(15,1),(48,1),(49,1),(56,1)}
        32:{1,3,4,5}:{(16,1),(19,1),(50,1)}
        33:{1,2,4,6}:{(16,1),(17,1),(18,1),(50,1),(51,1),(52,1)}
        34:{1,2,3,7}:{(17,1),(52,1)}
        35:{2,3,5,6}:{(18,1),(25,1),(51,1),(53,1),(54,1)}
        36:{2,3,4,7}:{(18,1),(52,1),(53,1),(56,1)}
        37:{3,4,5,7}:{(19,1),(20,1),(55,1),(56,1),(89,1)}
        38:{3,4,6}:{(19,1),(21,1),(54,1),(56,1)}
        39:{1,2,4,5,6}:{(21,1),(24,1),(25,1),(47,1),(51,1),(54,1),(57,1),(58,1),(80,1),(83,1),(88,1)}
        40:{1,2,4,6}:{(20,1),(22,1),(55,1),(58,1)}
        41:{1,2,4,7}:{(21,1),(23,1),(56,1)}
        42:{1,2,3,6,7}:{(22,1),(23,1),(59,1),(82,1),(85,1),(87,1)}
        43:{1,4,5,7}:{(24,1),(26,1),(49,1),(60,1)}
        44:{2,4,5,7}:{(25,1),(26,1),(53,1),(61,1)}
        45:{3,4,6,7}:{(26,1),(60,1),(61,1),(62,1),(87,1),(101,1)}
        46:{2,3,4,6}:{(27,1),(28,1),(38,1),(63,1),(64,1)}
        47:{1,2,5,6}:{(28,1),(30,1),(63,1),(65,1)}
        48:{1,2,4,7}:{(28,1),(29,1),(31,1),(64,1),(65,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(43,1),(65,1),(66,1),(72,1)}
        50:{1,3,4,6}:{(32,1),(33,1),(38,1),(67,1),(68,1)}
        51:{1,2,5,6}:{(33,1),(35,1),(67,1),(69,1)}
        52:{1,2,4,7}:{(33,1),(34,1),(36,1),(68,1),(69,1)}
        53:{2,3,5,7}:{(35,1),(36,1),(44,1),(69,1),(70,1),(72,1)}
        54:{3,5,6}:{(38,1),(39,1),(72,1)}
        55:{3,4,6}:{(37,1),(40,1),(73,1)}
        56:{3,4,7}:{(38,1),(41,1),(72,1)}
        57:{1,2,4,5,7}:{(39,1),(41,1),(43,1),(44,1),(65,1),(69,1),(72,1),(75,1),(76,1),(91,1),(93,1),(97,1)}
        58:{1,2,5,6}:{(40,1),(73,1),(76,1)}
        59:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(74,1),(76,1)}
        60:{1,4,6,7}:{(43,1),(45,1),(66,1),(77,1)}
        61:{2,4,6,7}:{(44,1),(45,1),(70,1),(78,1)}
        62:{3,5,6,7}:{(45,1),(77,1),(78,1),(79,1)}
        63:{2,3,5,6}:{(46,1),(47,1),(54,1),(80,1),(81,1)}
        64:{2,3,4,7}:{(46,1),(48,1),(56,1),(81,1)}
        65:{1,2,5,7}:{(47,1),(48,1),(49,1),(81,1),(82,1)}
        66:{1,3,6,7}:{(49,1),(60,1),(82,1),(87,1)}
        67:{1,3,5,6}:{(50,1),(51,1),(54,1),(83,1),(84,1)}
        68:{1,3,4,7}:{(50,1),(52,1),(56,1),(84,1)}
        69:{1,2,5,7}:{(51,1),(52,1),(53,1),(84,1),(85,1)}
        70:{2,3,6,7}:{(53,1),(61,1),(85,1),(87,1)}
        71:{3,4,5,6}:{(54,1),(80,1),(83,1),(86,1),(88,1)}
        72:{3,5,7}:{(54,1),(56,1),(57,1),(87,1)}
        73:{3,5,6}:{(55,1),(58,1),(88,1),(89,1)}
        74:{3,4,6,7}:{(55,1),(56,1),(59,1),(87,1),(89,1),(101,1)}
        75:{1,2,4,6,7}:{(57,1),(60,1),(61,1),(82,1),(85,1),(87,1),(90,1),(98,1),(99,1),(101,1)}
        76:{1,2,5,7}:{(58,1),(59,1),(89,1)}
        77:{1,5,6,7}:{(60,1),(62,1)}
        78:{2,5,6,7}:{(61,1),(62,1)}
        79:{4,5,6,7}:{(62,1),(101,1)}
        80:{2,4,5,6}:{(63,1),(71,1),(91,1)}
        81:{2,3,5,7}:{(63,1),(64,1),(65,1),(72,1),(91,1),(92,1)}
        82:{1,2,6,7}:{(65,1),(66,1),(92,1)}
        83:{1,4,5,6}:{(67,1),(71,1),(93,1)}
        84:{1,3,5,7}:{(67,1),(68,1),(69,1),(72,1),(93,1),(94,1)}
        85:{1,2,6,7}:{(69,1),(70,1),(94,1)}
        86:{3,4,5,7}:{(71,1),(72,1),(91,1),(93,1),(95,1),(97,1)}
        87:{3,6,7}:{(72,1),(75,1)}
        88:{4,5,6}:{(73,1),(97,1)}
        89:{3,5,7}:{(73,1),(74,1),(76,1),(97,1)}
        90:{1,2,5,6,7}:{(75,1),(76,1),(77,1),(78,1),(96,1),(102,1),(103,1)}
        91:{2,4,5,7}:{(80,1),(81,1),(86,1),(98,1)}
        92:{2,3,6,7}:{(81,1),(82,1),(87,1),(98,1)}
        93:{1,4,5,7}:{(83,1),(84,1),(86,1),(99,1)}
        94:{1,3,6,7}:{(84,1),(85,1),(87,1),(99,1)}
        95:{3,4,6,7}:{(86,1),(87,1),(98,1),(99,1),(100,1),(101,1)}
        96:{3,5,6,7}:{(87,1),(89,1),(90,1),(101,1)}
        97:{4,5,7}:{(88,1),(89,1),(101,1)}
        98:{2,4,6,7}:{(91,1),(92,1),(95,1),(102,1)}
        99:{1,4,6,7}:{(93,1),(94,1),(95,1),(103,1)}
       100:{3,5,6,7}:{(95,1),(102,1),(103,1),(104,1)}
       101:{4,6,7}:{(96,1),(97,1)}
       102:{2,5,6,7}:{(98,1),(100,1)}
       103:{1,5,6,7}:{(99,1),(100,1)}
       104:{4,5,6,7}:{(100,1),(101,1)}

1994 :   0:{1,2,3,6,7}:{(3,1),(4,1),(40,1),(52,1),(85,1),(86,1),(87,1),(104,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(15,1),(19,1),(41,1),(52,1),(55,1),(86,1),(99,1),(104,1)}
         2:{1,3,4,6,7}:{(4,1),(6,1),(15,1),(22,1),(42,1),(52,1),(57,1),(87,1),(100,1),(104,1)}
         3:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(28,1),(31,1),(58,1),(69,1),(94,1),(95,1)}
         4:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(32,1),(60,1),(73,1),(74,1),(96,1),(103,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(10,1),(11,1),(31,1),(61,1),(66,1)}
         6:{1,3,5,7}:{(2,1),(9,1),(12,1),(13,1),(31,1),(62,1),(68,1)}
         7:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(40,1),(43,1),(52,1),(79,1),(80,1),(81,1),(85,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(75,1),(99,1),(100,1)}
         9:{1,2,5,7}:{(4,1),(5,1),(6,1),(17,1),(79,1),(83,1),(84,1)}
        10:{2,4,5,7}:{(5,1),(18,1),(19,1),(76,1),(99,1)}
        11:{2,3,5,6}:{(5,1),(17,1),(19,1),(45,1),(52,1)}
        12:{1,4,5,7}:{(6,1),(21,1),(22,1),(77,1),(100,1)}
        13:{1,3,5,6}:{(6,1),(17,1),(22,1),(47,1),(52,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(90,1),(91,1)}
        15:{3,4,7}:{(8,1),(24,1),(31,1),(88,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(12,1),(25,1),(31,1),(32,1),(34,1),(37,1),(69,1),(89,1),(103,1)}
        17:{1,2,5,6}:{(9,1),(11,1),(13,1),(32,1),(65,1),(67,1)}
        18:{3,4,5,7}:{(10,1),(31,1),(34,1),(35,1),(59,1),(66,1),(92,1)}
        19:{2,4,6}:{(10,1),(11,1),(35,1)}
        20:{2,3,5,6,7}:{(11,1),(33,1),(36,1),(66,1),(72,1),(94,1)}
        21:{3,4,5,7}:{(12,1),(31,1),(37,1),(38,1),(59,1),(68,1),(92,1)}
        22:{1,4,6}:{(12,1),(13,1),(38,1)}
        23:{1,3,5,6,7}:{(13,1),(33,1),(39,1),(68,1),(72,1),(95,1)}
        24:{3,4,6}:{(14,1),(15,1),(43,1),(52,1)}
        25:{1,2,4,5}:{(14,1),(43,1),(76,1),(77,1),(79,1)}
        26:{2,4,5,6}:{(19,1),(45,1),(46,1)}
        27:{1,4,5,6}:{(22,1),(47,1),(48,1)}
        28:{1,2,3,7}:{(40,1),(49,1),(104,1)}
        29:{2,3,4,7}:{(15,1),(41,1),(49,1),(50,1),(99,1),(104,1)}
        30:{1,3,4,7}:{(15,1),(42,1),(49,1),(51,1),(100,1),(104,1)}
        31:{3,5,7}:{(15,1),(16,1),(43,1),(52,1),(97,1),(104,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(19,1),(22,1),(52,1),(54,1),(56,1),(85,1)}
        33:{1,2,5,6,7}:{(17,1),(20,1),(23,1),(53,1),(83,1),(84,1),(101,1)}
        34:{1,4,5,7}:{(18,1),(51,1),(54,1),(77,1),(83,1),(100,1)}
        35:{3,4,6}:{(18,1),(19,1),(45,1),(52,1),(54,1)}
        36:{2,4,6,7}:{(19,1),(20,1),(46,1),(55,1),(99,1)}
        37:{2,4,5,7}:{(21,1),(50,1),(56,1),(76,1),(84,1),(99,1)}
        38:{3,4,6}:{(21,1),(22,1),(47,1),(52,1),(56,1)}
        39:{1,4,6,7}:{(22,1),(23,1),(48,1),(57,1),(100,1)}
        40:{1,2,3,6}:{(28,1),(58,1),(60,1),(102,1)}
        41:{2,3,4,6}:{(24,1),(29,1),(60,1),(61,1),(70,1),(88,1),(90,1),(102,1)}
        42:{1,3,4,6}:{(24,1),(30,1),(60,1),(62,1),(71,1),(88,1),(91,1),(102,1)}
        43:{3,5}:{(24,1),(25,1)}
        44:{1,2,4,5,6}:{(25,1),(26,1),(27,1),(32,1),(63,1),(64,1),(65,1),(67,1),(90,1),(91,1),(93,1)}
        45:{3,5,6}:{(26,1),(35,1),(65,1),(66,1)}
        46:{2,4,5,7}:{(26,1),(36,1),(66,1)}
        47:{3,5,6}:{(27,1),(38,1),(67,1),(68,1)}
        48:{1,4,5,7}:{(27,1),(39,1),(68,1)}
        49:{1,2,4,7}:{(28,1),(29,1),(30,1),(60,1),(69,1)}
        50:{2,3,5,7}:{(29,1),(31,1),(37,1),(61,1),(69,1),(70,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(34,1),(62,1),(69,1),(71,1)}
        52:{3,6}:{(31,1),(32,1)}
        53:{1,2,4,6,7}:{(32,1),(33,1),(36,1),(39,1),(64,1),(72,1),(73,1),(74,1),(96,1),(103,1)}
        54:{1,4,6}:{(34,1),(35,1),(65,1),(71,1)}
        55:{3,4,6,7}:{(35,1),(36,1),(66,1),(72,1),(73,1),(92,1)}
        56:{2,4,6}:{(37,1),(38,1),(67,1),(70,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(68,1),(72,1),(74,1),(92,1)}
        58:{1,2,3,5}:{(40,1),(75,1),(79,1),(97,1)}
        59:{3,4,5}:{(43,1),(76,1),(77,1),(78,1),(97,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(42,1),(49,1),(75,1),(79,1),(85,1)}
        61:{2,3,5}:{(41,1),(43,1),(76,1),(79,1),(97,1)}
        62:{1,3,5}:{(42,1),(43,1),(77,1),(79,1),(97,1)}
        63:{3,5,6}:{(43,1),(44,1),(52,1),(78,1),(82,1)}
        64:{1,2,4,5,7}:{(44,1),(46,1),(48,1),(53,1),(82,1),(83,1),(84,1),(99,1),(100,1),(101,1)}
        65:{1,5,6}:{(45,1),(54,1),(83,1)}
        66:{3,5,7}:{(45,1),(46,1),(55,1),(83,1)}
        67:{2,5,6}:{(47,1),(56,1),(84,1)}
        68:{3,5,7}:{(47,1),(48,1),(57,1),(84,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(85,1)}
        70:{2,3,6}:{(50,1),(52,1),(56,1),(85,1)}
        71:{1,3,6}:{(51,1),(52,1),(54,1),(85,1)}
        72:{3,6,7}:{(52,1),(53,1),(82,1),(104,1)}
        73:{1,4,6,7}:{(54,1),(55,1),(83,1),(87,1),(100,1)}
        74:{2,4,6,7}:{(56,1),(57,1),(84,1),(86,1),(99,1)}
        75:{1,2,4}:{(58,1),(88,1)}
        76:{2,4,5}:{(59,1),(61,1),(90,1)}
        77:{1,4,5}:{(59,1),(62,1),(91,1)}
        78:{3,4,6}:{(59,1),(63,1),(90,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(60,1),(61,1),(62,1)}
        80:{2,3,5,6}:{(61,1),(63,1),(67,1),(70,1),(90,1),(93,1),(94,1),(102,1)}
        81:{1,3,5,6}:{(62,1),(63,1),(65,1),(71,1),(91,1),(93,1),(95,1),(102,1)}
        82:{3,5,7}:{(63,1),(64,1),(72,1),(92,1)}
        83:{1,5,7}:{(65,1),(66,1),(73,1)}
        84:{2,5,7}:{(67,1),(68,1),(74,1)}
        85:{1,2,6}:{(69,1),(70,1),(71,1)}
        86:{2,3,6,7}:{(70,1),(72,1),(74,1),(94,1),(96,1)}
        87:{1,3,6,7}:{(71,1),(72,1),(73,1),(95,1),(96,1)}
        88:{3,4}:{(75,1),(97,1)}
        89:{1,2,4,5}:{(75,1),(76,1),(77,1),(79,1),(97,1),(98,1)}
        90:{2,4,6}:{(76,1),(78,1),(80,1),(99,1)}
        91:{1,4,6}:{(77,1),(78,1),(81,1),(100,1)}
        92:{3,4,7}:{(78,1),(82,1),(99,1),(100,1),(104,1)}
        93:{1,2,5,6}:{(79,1),(80,1),(81,1),(85,1),(98,1),(101,1)}
        94:{2,3,5,7}:{(80,1),(82,1),(84,1),(86,1),(99,1),(101,1),(104,1)}
        95:{1,3,5,7}:{(81,1),(82,1),(83,1),(87,1),(100,1),(101,1),(104,1)}
        96:{1,2,6,7}:{(85,1),(86,1),(87,1),(101,1)}
        97:{3,5}:{(88,1),(89,1),(102,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{2,4,7}:{(90,1),(92,1),(94,1)}
       100:{1,4,7}:{(91,1),(92,1),(95,1)}
       101:{1,2,5,7}:{(93,1),(94,1),(95,1),(96,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

1995 :   0:{3,4,5,6,7}:{(1,1),(2,1),(12,1),(90,1)}
         1:{1,4,5,6,7}:{(0,1),(3,1),(98,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(96,1)}
         3:{1,3,5,6,7}:{(1,1),(9,1),(10,1),(12,1),(88,1)}
         4:{2,3,5,6,7}:{(2,1),(8,1),(11,1),(12,1),(86,1)}
         5:{1,2,4,5,6,7}:{(1,1),(2,1),(10,1),(11,1),(12,1),(29,1),(30,1),(59,1)}
         6:{2,3,4,5,6}:{(13,1),(14,1),(45,1),(64,1),(97,1)}
         7:{1,3,4,5,6}:{(15,1),(16,1),(45,1),(68,1),(99,1)}
         8:{2,3,4,6,7}:{(4,1),(13,1),(17,1),(21,1)}
         9:{1,3,4,6,7}:{(3,1),(15,1),(18,1),(21,1)}
        10:{1,2,5,6,7}:{(3,1),(18,1),(19,1),(74,1)}
        11:{1,2,5,6,7}:{(4,1),(17,1),(20,1),(71,1)}
        12:{3,5,6,7}:{(5,1),(21,1),(76,1)}
        13:{2,3,4,5,7}:{(6,1),(8,1),(22,1),(31,1),(78,1),(86,1)}
        14:{1,2,4,5,6}:{(6,1),(22,1),(23,1),(48,1),(61,1),(87,1)}
        15:{1,3,4,5,7}:{(7,1),(9,1),(24,1),(31,1),(82,1),(88,1)}
        16:{1,2,4,5,6}:{(7,1),(24,1),(25,1),(52,1),(60,1),(89,1)}
        17:{1,2,4,6,7}:{(8,1),(11,1),(22,1),(26,1),(30,1)}
        18:{1,2,4,6,7}:{(9,1),(10,1),(24,1),(27,1),(29,1)}
        19:{2,3,5,6,7}:{(10,1),(12,1),(27,1),(29,1),(57,1)}
        20:{1,3,5,6,7}:{(11,1),(12,1),(26,1),(30,1),(55,1)}
        21:{3,4,6,7}:{(12,1),(29,1),(30,1),(31,1)}
        22:{1,2,4,5,7}:{(13,1),(14,1),(17,1),(32,1),(44,1),(62,1),(71,1)}
        23:{1,3,5,6}:{(14,1),(32,1),(34,1)}
        24:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(35,1),(43,1),(66,1),(74,1)}
        25:{2,3,5,6}:{(16,1),(35,1),(37,1)}
        26:{1,3,6,7}:{(17,1),(32,1)}
        27:{2,3,6,7}:{(18,1),(35,1)}
        28:{1,2,3,5,6,7}:{(19,1),(20,1),(38,1),(40,1),(42,1),(71,1),(74,1),(76,1),(97,1),(99,1)}
        29:{2,4,6,7}:{(19,1),(21,1),(43,1)}
        30:{1,4,6,7}:{(20,1),(21,1),(44,1)}
        31:{3,4,5,7}:{(21,1),(43,1),(44,1),(45,1),(76,1)}
        32:{1,3,5,7}:{(22,1),(23,1),(26,1),(47,1)}
        33:{1,2,3,5,6}:{(23,1),(46,1),(48,1),(81,1),(87,1),(101,1)}
        34:{1,3,4,6}:{(23,1),(47,1),(48,1),(49,1)}
        35:{2,3,5,7}:{(24,1),(25,1),(27,1),(51,1)}
        36:{1,2,3,5,6}:{(25,1),(50,1),(52,1),(85,1),(89,1),(102,1)}
        37:{2,3,4,6}:{(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,6,7}:{(26,1),(46,1),(54,1),(101,1)}
        39:{1,3,4,6,7}:{(26,1),(30,1),(47,1),(54,1),(55,1),(58,1),(80,1)}
        40:{1,2,3,6,7}:{(27,1),(50,1),(56,1),(102,1)}
        41:{2,3,4,6,7}:{(27,1),(29,1),(51,1),(56,1),(57,1),(58,1),(84,1)}
        42:{1,2,4,6,7}:{(28,1),(29,1),(30,1),(58,1),(59,1),(103,1),(104,1)}
        43:{2,4,5,7}:{(29,1),(31,1),(57,1),(60,1)}
        44:{1,4,5,7}:{(30,1),(31,1),(55,1),(61,1)}
        45:{3,4,5,6}:{(31,1),(60,1),(61,1),(91,1)}
        46:{1,2,3,5,7}:{(32,1),(33,1),(38,1),(62,1),(71,1),(92,1)}
        47:{1,3,4,7}:{(32,1),(34,1),(62,1)}
        48:{1,2,4,6}:{(33,1),(34,1),(62,1),(64,1),(65,1)}
        49:{1,3,4,5}:{(34,1),(65,1)}
        50:{1,2,3,5,7}:{(35,1),(36,1),(40,1),(66,1),(74,1),(94,1)}
        51:{2,3,4,7}:{(35,1),(37,1),(66,1)}
        52:{1,2,4,6}:{(36,1),(37,1),(66,1),(68,1),(69,1)}
        53:{2,3,4,5}:{(37,1),(69,1)}
        54:{1,2,4,6,7}:{(38,1),(39,1),(62,1),(70,1),(71,1),(93,1)}
        55:{1,3,5,7}:{(39,1),(44,1),(71,1),(72,1),(76,1)}
        56:{1,2,4,6,7}:{(40,1),(41,1),(66,1),(73,1),(74,1),(95,1)}
        57:{2,3,5,7}:{(41,1),(43,1),(74,1),(75,1),(76,1)}
        58:{3,4,6,7}:{(42,1),(76,1),(100,1)}
        59:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(71,1),(74,1),(76,1),(77,1),(96,1),(98,1)}
        60:{2,4,5,6}:{(43,1),(45,1),(75,1)}
        61:{1,4,5,6}:{(44,1),(45,1),(72,1)}
        62:{1,2,4,7}:{(46,1),(47,1),(48,1),(78,1)}
        63:{1,3,4,5,7}:{(47,1),(49,1),(55,1),(79,1),(80,1),(90,1)}
        64:{2,3,4,6}:{(48,1),(78,1),(81,1),(101,1)}
        65:{1,2,4,5}:{(48,1),(49,1),(81,1)}
        66:{1,2,4,7}:{(50,1),(51,1),(52,1),(82,1)}
        67:{2,3,4,5,7}:{(51,1),(53,1),(57,1),(83,1),(84,1),(90,1)}
        68:{1,3,4,6}:{(52,1),(82,1),(85,1),(102,1)}
        69:{1,2,4,5}:{(52,1),(53,1),(85,1)}
        70:{2,3,4,6,7}:{(54,1),(58,1),(78,1),(86,1),(101,1),(103,1)}
        71:{1,2,5,7}:{(54,1),(55,1),(86,1),(87,1)}
        72:{1,3,5,6}:{(55,1),(61,1),(80,1),(87,1),(91,1)}
        73:{1,3,4,6,7}:{(56,1),(58,1),(82,1),(88,1),(102,1),(104,1)}
        74:{1,2,5,7}:{(56,1),(57,1),(88,1),(89,1)}
        75:{2,3,5,6}:{(57,1),(60,1),(84,1),(89,1),(91,1)}
        76:{3,5,7}:{(58,1),(59,1),(91,1)}
        77:{1,2,4,5,6}:{(59,1),(60,1),(61,1),(87,1),(89,1),(91,1),(103,1),(104,1)}
        78:{2,3,4,7}:{(62,1),(64,1),(92,1)}
        79:{1,2,4,5,7}:{(62,1),(63,1),(65,1),(71,1),(92,1),(93,1),(96,1)}
        80:{1,3,4,6}:{(63,1),(72,1),(93,1),(100,1)}
        81:{2,3,5}:{(64,1),(65,1)}
        82:{1,3,4,7}:{(66,1),(68,1),(94,1)}
        83:{1,2,4,5,7}:{(66,1),(67,1),(69,1),(74,1),(94,1),(95,1),(98,1)}
        84:{2,3,4,6}:{(67,1),(75,1),(95,1),(100,1)}
        85:{1,3,5}:{(68,1),(69,1)}
        86:{2,3,5,7}:{(70,1),(71,1),(76,1),(96,1),(97,1)}
        87:{1,2,5,6}:{(71,1),(72,1),(93,1),(97,1)}
        88:{1,3,5,7}:{(73,1),(74,1),(76,1),(98,1),(99,1)}
        89:{1,2,5,6}:{(74,1),(75,1),(95,1),(99,1)}
        90:{3,4,5,7}:{(76,1),(96,1),(98,1),(100,1)}
        91:{3,5,6}:{(76,1),(77,1),(100,1)}
        92:{2,3,5,7}:{(78,1),(79,1),(81,1),(101,1)}
        93:{1,2,4,6}:{(79,1),(80,1),(87,1),(101,1),(103,1)}
        94:{1,3,5,7}:{(82,1),(83,1),(85,1),(102,1)}
        95:{1,2,4,6}:{(83,1),(84,1),(89,1),(102,1),(104,1)}
        96:{2,4,5,7}:{(86,1),(90,1),(103,1)}
        97:{2,3,5,6}:{(86,1),(87,1),(91,1),(101,1),(103,1)}
        98:{1,4,5,7}:{(88,1),(90,1),(104,1)}
        99:{1,3,5,6}:{(88,1),(89,1),(91,1),(102,1),(104,1)}
       100:{3,4,6}:{(90,1),(91,1),(103,1),(104,1)}
       101:{2,3,6}:{(92,1),(93,1)}
       102:{1,3,6}:{(94,1),(95,1)}
       103:{2,4,6}:{(96,1),(97,1),(100,1)}
       104:{1,4,6}:{(98,1),(99,1),(100,1)}

1996 :   0:{1,2,3,6,7}:{(2,1),(3,1),(35,1),(71,1),(72,1),(73,1)}
         1:{1,2,3,5,6}:{(3,1),(4,1),(11,1),(15,1),(35,1),(43,1),(44,1),(45,1),(46,1),(73,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(21,1),(84,1),(85,1)}
         3:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(22,1),(55,1),(56,1),(61,1),(62,1)}
         4:{1,2,4,6}:{(1,1),(7,1),(8,1),(9,1),(58,1),(59,1)}
         5:{3,4,6,7}:{(2,1),(10,1),(13,1),(32,1),(35,1)}
         6:{1,2,5,7}:{(2,1),(10,1),(11,1),(94,1),(95,1)}
         7:{1,2,4,7}:{(3,1),(4,1),(13,1),(75,1),(76,1)}
         8:{1,2,4,5}:{(4,1),(15,1),(40,1),(41,1),(45,1)}
         9:{3,4,6}:{(4,1),(13,1),(15,1),(35,1)}
        10:{3,5,7}:{(5,1),(6,1),(18,1),(19,1)}
        11:{1,2,5,6}:{(6,1),(18,1),(21,1),(82,1),(83,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(8,1),(19,1),(21,1),(22,1),(50,1),(51,1),(55,1)}
        13:{3,4,7}:{(7,1),(9,1),(22,1)}
        14:{1,2,4,5,6}:{(8,1),(21,1),(26,1),(27,1),(47,1),(58,1),(59,1),(63,1),(82,1),(83,1)}
        15:{3,5}:{(8,1),(9,1)}
        16:{1,3,4,6}:{(9,1),(23,1),(28,1),(30,1),(53,1),(58,1),(92,1),(93,1),(105,1)}
        17:{2,3,4,6}:{(9,1),(24,1),(29,1),(30,1),(54,1),(59,1),(92,1),(93,1),(105,1)}
        18:{3,5,6}:{(10,1),(11,1),(32,1),(35,1)}
        19:{4,5,7}:{(10,1),(32,1)}
        20:{1,2,5,6,7}:{(11,1),(31,1),(34,1),(94,1),(95,1)}
        21:{1,2,4,6}:{(11,1),(12,1),(32,1),(35,1),(68,1),(69,1),(73,1)}
        22:{3,5,7}:{(12,1),(13,1),(15,1),(35,1)}
        23:{1,3,4,7}:{(13,1),(16,1),(36,1),(38,1),(75,1),(99,1),(101,1)}
        24:{2,3,4,7}:{(13,1),(17,1),(37,1),(38,1),(76,1),(99,1),(101,1)}
        25:{3,4,5}:{(15,1),(39,1),(40,1),(41,1),(78,1)}
        26:{1,2,4,5,7}:{(14,1),(34,1),(42,1),(65,1),(75,1),(76,1),(79,1),(94,1),(95,1)}
        27:{3,5,6}:{(14,1),(15,1),(35,1),(39,1),(42,1)}
        28:{1,3,5}:{(15,1),(16,1),(40,1),(45,1),(78,1),(109,1)}
        29:{2,3,5}:{(15,1),(17,1),(41,1),(45,1),(78,1),(109,1)}
        30:{1,2,4,6}:{(16,1),(17,1),(38,1),(45,1),(46,1),(73,1),(80,1)}
        31:{3,5,6,7}:{(18,1),(20,1),(48,1),(52,1),(81,1)}
        32:{4,6}:{(18,1),(19,1)}
        33:{3,4,5,7}:{(19,1),(22,1),(25,1),(49,1),(50,1),(51,1),(57,1),(81,1),(87,1),(110,1),(111,1)}
        34:{1,2,4,6,7}:{(20,1),(21,1),(26,1),(48,1),(52,1),(84,1),(85,1),(88,1)}
        35:{3,6}:{(21,1),(22,1)}
        36:{1,3,5,7}:{(22,1),(23,1),(28,1),(50,1),(53,1),(55,1),(87,1)}
        37:{2,3,5,7}:{(22,1),(24,1),(29,1),(51,1),(54,1),(55,1),(87,1)}
        38:{1,2,4,7}:{(23,1),(24,1),(30,1),(55,1),(56,1)}
        39:{3,4,6}:{(25,1),(27,1),(57,1),(58,1),(59,1),(92,1)}
        40:{1,4,5}:{(25,1),(28,1),(58,1),(111,1)}
        41:{2,4,5}:{(25,1),(29,1),(59,1),(111,1)}
        42:{3,5,7}:{(26,1),(27,1),(52,1),(57,1)}
        43:{1,3,5,6}:{(27,1),(28,1),(53,1),(58,1),(61,1),(63,1),(82,1),(92,1),(103,1)}
        44:{2,3,5,6}:{(27,1),(29,1),(54,1),(59,1),(62,1),(63,1),(83,1),(92,1),(103,1)}
        45:{1,2,5}:{(28,1),(29,1),(30,1)}
        46:{1,2,3,6}:{(30,1),(56,1),(64,1),(92,1)}
        47:{4,5,6}:{(32,1),(65,1),(66,1),(108,1)}
        48:{4,6,7}:{(31,1),(32,1),(65,1)}
        49:{3,4,6}:{(32,1),(33,1),(35,1),(66,1),(68,1),(69,1),(98,1),(108,1)}
        50:{1,4,5,7}:{(33,1),(36,1),(40,1),(68,1),(75,1),(94,1)}
        51:{2,4,5,7}:{(33,1),(37,1),(41,1),(69,1),(76,1),(95,1)}
        52:{3,6,7}:{(34,1),(35,1),(42,1)}
        53:{1,3,6}:{(35,1),(36,1),(68,1),(73,1),(98,1)}
        54:{2,3,6}:{(35,1),(37,1),(69,1),(73,1),(98,1)}
        55:{1,2,5,7}:{(36,1),(37,1),(38,1),(45,1),(73,1)}
        56:{1,2,3,7}:{(38,1),(46,1),(101,1)}
        57:{3,4,7}:{(39,1),(42,1),(75,1),(76,1),(101,1)}
        58:{1,4,6}:{(39,1),(40,1),(43,1),(75,1),(108,1)}
        59:{2,4,6}:{(39,1),(41,1),(44,1),(76,1),(108,1)}
        60:{1,2,4,5}:{(40,1),(41,1),(45,1),(77,1),(78,1),(80,1)}
        61:{1,3,5,7}:{(42,1),(43,1),(71,1),(75,1),(79,1),(94,1),(101,1),(107,1)}
        62:{2,3,5,7}:{(42,1),(44,1),(72,1),(76,1),(79,1),(95,1),(101,1),(107,1)}
        63:{1,2,5,6}:{(43,1),(44,1),(45,1),(73,1),(77,1),(79,1)}
        64:{1,2,3,5}:{(45,1),(46,1),(78,1),(80,1)}
        65:{4,5,7}:{(47,1),(48,1),(81,1),(110,1)}
        66:{3,5,6}:{(47,1),(49,1),(81,1),(82,1),(83,1)}
        67:{3,4,6,7}:{(48,1),(49,1),(52,1),(57,1),(81,1),(84,1),(85,1),(104,1),(110,1)}
        68:{1,4,6}:{(49,1),(50,1),(53,1),(82,1)}
        69:{2,4,6}:{(49,1),(51,1),(54,1),(83,1)}
        70:{1,2,4,5,7}:{(50,1),(51,1),(55,1),(60,1),(86,1),(87,1),(90,1),(91,1),(102,1),(106,1),(110,1),(111,1)}
        71:{1,3,6,7}:{(52,1),(53,1),(61,1),(84,1),(88,1),(104,1)}
        72:{2,3,6,7}:{(52,1),(54,1),(62,1),(85,1),(88,1),(104,1)}
        73:{1,2,6}:{(53,1),(54,1),(55,1)}
        74:{1,2,3,5,7}:{(55,1),(56,1),(64,1),(87,1),(89,1),(90,1),(106,1)}
        75:{1,4,7}:{(57,1),(58,1),(61,1),(110,1)}
        76:{2,4,7}:{(57,1),(59,1),(62,1),(110,1)}
        77:{1,2,4,6}:{(58,1),(59,1),(60,1),(63,1),(91,1),(92,1)}
        78:{3,5}:{(60,1),(92,1),(93,1)}
        79:{1,2,5,7}:{(61,1),(62,1),(63,1),(88,1),(91,1)}
        80:{1,2,4}:{(64,1),(93,1)}
        81:{3,5,7}:{(65,1),(66,1),(67,1),(94,1),(95,1)}
        82:{1,5,6}:{(66,1),(68,1),(94,1)}
        83:{2,5,6}:{(66,1),(69,1),(95,1)}
        84:{1,4,6,7}:{(67,1),(68,1),(71,1),(75,1),(94,1)}
        85:{2,4,6,7}:{(67,1),(69,1),(72,1),(76,1),(95,1)}
        86:{1,2,4,6}:{(68,1),(69,1),(70,1),(73,1),(96,1),(98,1),(108,1)}
        87:{3,5,7}:{(70,1),(78,1),(98,1),(99,1),(101,1),(109,1)}
        88:{1,2,6,7}:{(71,1),(72,1),(73,1),(79,1)}
        89:{1,2,3,6}:{(73,1),(74,1),(98,1),(100,1)}
        90:{1,2,4,7}:{(74,1),(80,1),(99,1),(100,1)}
        91:{1,2,4,7}:{(75,1),(76,1),(77,1),(79,1),(101,1)}
        92:{3,6}:{(77,1),(78,1),(101,1)}
        93:{3,4}:{(78,1),(80,1)}
        94:{1,5,7}:{(81,1),(82,1),(84,1)}
        95:{2,5,7}:{(81,1),(83,1),(85,1)}
        96:{1,2,5,6}:{(82,1),(83,1),(86,1),(102,1),(103,1),(106,1)}
        97:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(88,1),(91,1),(102,1),(104,1),(110,1)}
        98:{3,6}:{(86,1),(87,1)}
        99:{3,4,7}:{(87,1),(90,1),(93,1),(105,1),(110,1)}
       100:{1,2,4,6}:{(89,1),(90,1),(105,1),(106,1)}
       101:{3,7}:{(91,1),(92,1)}
       102:{1,2,5,7}:{(94,1),(95,1),(96,1),(97,1),(107,1)}
       103:{3,5,6}:{(96,1),(98,1),(107,1),(108,1),(109,1)}
       104:{3,6,7}:{(97,1),(98,1),(101,1),(107,1)}
       105:{3,4,6}:{(98,1),(99,1),(100,1),(108,1),(109,1)}
       106:{1,2,5}:{(100,1),(109,1)}
       107:{3,5,7}:{(102,1),(103,1),(104,1),(110,1)}
       108:{4,6}:{(103,1),(110,1),(111,1)}
       109:{3,5}:{(105,1),(106,1),(111,1)}
       110:{4,7}:{(107,1),(108,1)}
       111:{4,5}:{(108,1),(109,1)}

1997 :   0:{1,2,3,4,7}:{(1,1),(2,1),(24,1),(70,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(15,1),(30,1),(57,1)}
         2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1)}
         3:{1,2,4,5,7}:{(2,1),(6,1),(7,1),(8,1),(20,1),(24,1)}
         4:{1,2,3,5}:{(1,1),(8,1)}
         5:{1,2,3,6}:{(2,1),(7,1)}
         6:{3,4,5,7}:{(3,1),(11,1),(14,1),(26,1),(34,1)}
         7:{1,2,4,6}:{(3,1),(5,1),(11,1),(12,1)}
         8:{1,2,4,5}:{(4,1),(14,1),(15,1)}
         9:{1,2,3,5,6}:{(4,1),(5,1),(12,1),(15,1),(16,1),(28,1),(54,1),(57,1)}
        10:{1,2,3,6,7}:{(5,1),(13,1),(16,1),(52,1),(79,1)}
        11:{3,4,6}:{(6,1),(7,1),(17,1)}
        12:{1,2,5,6}:{(7,1),(17,1),(20,1)}
        13:{1,2,4,6,7}:{(7,1),(10,1),(18,1),(20,1),(24,1)}
        14:{3,4,5}:{(8,1),(23,1)}
        15:{1,2,4,6}:{(8,1),(9,1),(23,1),(24,1)}
        16:{1,2,3,5,7}:{(9,1),(10,1),(20,1),(24,1),(42,1),(69,1),(70,1)}
        17:{3,5,6}:{(11,1),(12,1),(25,1),(26,1)}
        18:{3,4,6,7}:{(11,1),(13,1),(26,1),(34,1),(47,1),(52,1)}
        19:{1,2,4,5,6}:{(12,1),(15,1),(25,1),(28,1),(29,1),(48,1),(49,1),(54,1)}
        20:{1,2,5,7}:{(12,1),(13,1),(26,1)}
        21:{2,3,4,5}:{(14,1),(31,1),(32,1),(74,1)}
        22:{1,3,4,5}:{(14,1),(31,1),(33,1),(74,1)}
        23:{3,4,6}:{(14,1),(15,1),(28,1),(34,1)}
        24:{1,2,4,7}:{(15,1),(16,1),(34,1)}
        25:{4,5,6}:{(17,1),(37,1)}
        26:{3,5,7}:{(17,1),(18,1),(20,1),(37,1)}
        27:{1,2,5,6,7}:{(20,1),(35,1),(38,1),(82,1),(83,1)}
        28:{3,5,6}:{(19,1),(23,1),(42,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(24,1),(37,1),(38,1),(42,1),(62,1),(63,1),(69,1)}
        30:{1,2,3,4}:{(43,1)}
        31:{1,2,4,5}:{(21,1),(22,1),(43,1),(44,1)}
        32:{2,3,4,6}:{(21,1),(23,1),(40,1),(44,1),(45,1),(86,1)}
        33:{1,3,4,6}:{(22,1),(23,1),(41,1),(44,1),(46,1),(86,1)}
        34:{3,4,7}:{(23,1),(24,1),(42,1)}
        35:{3,5,6,7}:{(26,1),(27,1),(47,1),(52,1)}
        36:{3,4,5,6}:{(25,1),(28,1),(48,1),(49,1),(50,1),(75,1),(101,1)}
        37:{4,5,7}:{(25,1),(26,1),(47,1)}
        38:{1,2,4,6,7}:{(27,1),(29,1),(47,1),(52,1),(72,1),(73,1),(79,1)}
        39:{1,2,3,4,6}:{(30,1),(51,1),(53,1),(57,1),(78,1),(80,1)}
        40:{2,3,5,6}:{(28,1),(32,1),(48,1),(54,1),(55,1),(75,1)}
        41:{1,3,5,6}:{(28,1),(33,1),(49,1),(54,1),(56,1),(75,1)}
        42:{3,5,7}:{(28,1),(29,1),(34,1),(52,1)}
        43:{1,2,3,5}:{(30,1),(31,1),(57,1)}
        44:{1,2,4,6}:{(31,1),(32,1),(33,1),(54,1),(57,1),(58,1)}
        45:{2,3,4,7}:{(32,1),(34,1),(55,1),(58,1),(94,1)}
        46:{1,3,4,7}:{(33,1),(34,1),(56,1),(58,1),(94,1)}
        47:{4,6,7}:{(35,1),(37,1)}
        48:{2,4,5,6}:{(36,1),(40,1),(62,1)}
        49:{1,4,5,6}:{(36,1),(41,1),(63,1)}
        50:{3,4,5,7}:{(36,1),(37,1),(42,1),(60,1),(62,1),(63,1),(87,1),(104,1)}
        51:{1,2,3,4,7}:{(39,1),(64,1),(70,1),(90,1)}
        52:{3,6,7}:{(38,1),(42,1)}
        53:{1,2,3,5}:{(39,1),(67,1)}
        54:{1,2,5,6}:{(40,1),(41,1),(44,1),(69,1)}
        55:{2,3,5,7}:{(40,1),(42,1),(45,1),(62,1),(65,1),(69,1),(87,1)}
        56:{1,3,5,7}:{(41,1),(42,1),(46,1),(63,1),(66,1),(69,1),(87,1)}
        57:{1,2,3,6}:{(43,1),(44,1),(70,1)}
        58:{1,2,4,7}:{(44,1),(45,1),(46,1),(69,1),(70,1)}
        59:{4,5,6,7}:{(47,1),(71,1),(102,1)}
        60:{3,4,6,7}:{(47,1),(50,1),(52,1),(71,1),(72,1),(73,1),(93,1),(102,1)}
        61:{1,2,4,5,6}:{(48,1),(49,1),(54,1),(75,1),(76,1),(80,1),(95,1),(101,1)}
        62:{2,4,5,7}:{(48,1),(50,1),(55,1),(72,1)}
        63:{1,4,5,7}:{(49,1),(50,1),(56,1),(73,1)}
        64:{1,2,3,5,7}:{(51,1),(53,1),(77,1),(78,1)}
        65:{2,3,6,7}:{(52,1),(55,1),(72,1),(79,1),(93,1)}
        66:{1,3,6,7}:{(52,1),(56,1),(73,1),(79,1),(93,1)}
        67:{1,2,4,5}:{(53,1),(74,1),(80,1)}
        68:{1,2,3,5,6}:{(53,1),(54,1),(57,1),(75,1),(78,1),(80,1),(81,1),(95,1)}
        69:{1,2,5,7}:{(54,1),(55,1),(56,1),(58,1),(79,1)}
        70:{1,2,3,7}:{(57,1),(58,1)}
        71:{3,5,6,7}:{(59,1),(60,1),(82,1),(83,1)}
        72:{2,4,6,7}:{(60,1),(62,1),(65,1),(82,1)}
        73:{1,4,6,7}:{(60,1),(63,1),(66,1),(83,1)}
        74:{3,4,5}:{(67,1),(86,1)}
        75:{3,5,6}:{(61,1),(86,1),(87,1)}
        76:{1,2,4,5,7}:{(61,1),(62,1),(63,1),(69,1),(85,1),(87,1),(90,1),(100,1),(104,1)}
        77:{1,2,4,5,7}:{(64,1),(67,1),(84,1),(88,1),(90,1),(100,1)}
        78:{1,2,3,6}:{(64,1),(88,1)}
        79:{1,2,6,7}:{(65,1),(66,1),(69,1)}
        80:{1,2,4,6}:{(67,1),(68,1),(86,1),(90,1)}
        81:{1,2,3,5,7}:{(68,1),(69,1),(70,1),(87,1),(89,1),(90,1),(100,1)}
        82:{2,5,6,7}:{(71,1),(72,1)}
        83:{1,5,6,7}:{(71,1),(73,1)}
        84:{3,4,5,7}:{(74,1),(77,1),(92,1),(94,1),(103,1)}
        85:{1,2,4,6,7}:{(72,1),(73,1),(76,1),(79,1),(91,1),(93,1),(102,1)}
        86:{3,4,6}:{(74,1),(75,1),(80,1),(94,1)}
        87:{3,5,7}:{(75,1),(76,1),(93,1),(94,1)}
        88:{1,2,4,6}:{(77,1),(78,1),(92,1),(95,1)}
        89:{1,2,3,6,7}:{(78,1),(79,1),(81,1),(93,1),(96,1)}
        90:{1,2,4,7}:{(80,1),(81,1),(94,1)}
        91:{1,2,5,6,7}:{(82,1),(83,1),(85,1),(97,1),(100,1)}
        92:{3,4,6}:{(84,1),(88,1),(98,1)}
        93:{3,6,7}:{(85,1),(87,1)}
        94:{3,4,7}:{(86,1),(87,1),(90,1)}
        95:{1,2,5,6}:{(88,1),(98,1),(100,1)}
        96:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(99,1),(100,1)}
        97:{3,5,6,7}:{(91,1),(93,1),(102,1),(103,1)}
        98:{3,5,6}:{(92,1),(95,1),(101,1),(103,1)}
        99:{3,4,6,7}:{(92,1),(93,1),(94,1),(96,1),(102,1),(103,1)}
       100:{1,2,5,7}:{(95,1),(96,1),(103,1)}
       101:{4,5,6}:{(98,1),(104,1)}
       102:{4,6,7}:{(97,1),(104,1)}
       103:{3,5,7}:{(98,1),(99,1),(100,1),(104,1)}
       104:{4,5,7}:{(101,1),(102,1),(103,1)}

1998 :  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:{3,4,5}:{(2,1),(7,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
        6:{1,2,3,7}:{(3,1),(9,1)}
        7:{3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,5,6}:{(5,1),(10,1),(12,1)}
        9:{1,2,4,7}:{(5,1),(6,1),(11,1),(12,1)}
       10:{3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{3,4,7}:{(7,1),(9,1),(14,1)}
       12:{1,2,5,7}:{(8,1),(9,1),(14,1),(15,1)}
       13:{4,5,6}:{(10,1),(16,1)}
       14:{3,5,7}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
       15:{1,2,6,7}:{(12,1),(17,1)}
       16:{4,5,7}:{(13,1),(14,1),(18,1)}
       17:{3,6,7}:{(14,1),(15,1),(18,1)}
       18:{4,6,7}:{(16,1),(17,1),(19,1)}
       19:{5,6,7}:{(18,1)}

1999 :  0:{1,2,3,4,5,7}:{(1,1),(4,1),(33,1),(34,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,6,7}:{(1,1),(4,1),(9,1),(32,1),(33,1)}
        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),(18,1),(31,1),(32,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{3,4,5,6}:{(5,1),(10,1)}
        9:{1,2,4,6,7}:{(6,1),(7,1),(14,1)}
       10:{3,4,5,7}:{(7,1),(8,1),(14,1)}
       11:{1,3,4,5,6}:{(8,1),(15,1),(17,1),(48,1)}
       12:{2,3,4,5,6}:{(8,1),(16,1),(17,1),(48,1)}
       13:{1,2,4,5,6,7}:{(9,1),(18,1),(29,1),(30,1),(31,1)}
       14:{3,4,6,7}:{(9,1),(10,1),(18,1)}
       15:{1,3,4,5,7}:{(10,1),(11,1),(19,1),(21,1),(46,1)}
       16:{2,3,4,5,7}:{(10,1),(12,1),(20,1),(21,1),(46,1)}
       17:{1,2,4,5,6}:{(11,1),(12,1),(21,1),(22,1)}
       18:{3,5,6,7}:{(13,1),(14,1)}
       19:{1,3,4,6,7}:{(14,1),(15,1),(24,1),(26,1),(43,1)}
       20:{2,3,4,6,7}:{(14,1),(16,1),(25,1),(26,1),(43,1)}
       21:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(26,1),(27,1)}
       22:{1,2,3,5,6}:{(17,1),(27,1),(28,1)}
       23:{3,4,5,6,7}:{(18,1),(29,1),(30,1),(39,1)}
       24:{1,3,5,6,7}:{(18,1),(19,1),(29,1),(31,1),(39,1)}
       25:{2,3,5,6,7}:{(18,1),(20,1),(30,1),(31,1),(39,1)}
       26:{1,2,4,6,7}:{(19,1),(20,1),(21,1),(31,1),(32,1)}
       27:{1,2,3,5,7}:{(21,1),(22,1),(32,1),(33,1)}
       28:{1,2,3,4,6}:{(22,1),(33,1),(34,1)}
       29:{1,4,5,6,7}:{(23,1),(24,1)}
       30:{2,4,5,6,7}:{(23,1),(25,1)}
       31:{1,2,5,6,7}:{(24,1),(25,1),(26,1)}
       32:{1,2,3,6,7}:{(26,1),(27,1)}
       33:{1,2,3,4,7}:{(27,1),(28,1)}
       34:{1,2,3,4,5}:{(28,1)}
       35:{1,2,4,5,6,7}:{(29,1),(30,1),(31,1),(39,1),(40,1)}
       36:{1,2,3,5,6,7}:{(31,1),(32,1),(39,1),(40,1),(41,1)}
       37:{1,2,3,4,6,7}:{(32,1),(33,1),(40,1),(41,1),(42,1)}
       38:{1,2,3,4,5,7}:{(33,1),(34,1),(41,1),(42,1)}
       39:{3,5,6,7}:{(35,1),(43,1)}
       40:{1,2,4,6,7}:{(36,1),(43,1),(44,1)}
       41:{1,2,3,5,7}:{(37,1),(44,1),(45,1)}
       42:{1,2,3,4,6}:{(38,1),(45,1)}
       43:{3,4,6,7}:{(39,1),(40,1),(46,1)}
       44:{1,2,4,5,7}:{(40,1),(41,1),(46,1),(47,1)}
       45:{1,2,3,5,6}:{(41,1),(42,1),(47,1)}
       46:{3,4,5,7}:{(43,1),(44,1),(48,1)}
       47:{1,2,4,5,6}:{(44,1),(45,1),(48,1)}
       48:{3,4,5,6}:{(46,1),(47,1)}

2000 :   0:{1,3,4,5,6}:{(2,1),(3,1),(17,1),(72,1),(98,1)}
         1:{2,3,4,5,6}:{(4,1),(5,1),(13,1),(67,1),(102,1)}
         2:{1,2,4,5,6}:{(0,1),(6,1),(7,1),(21,1),(79,1),(82,1)}
         3:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(29,1),(58,1),(83,1)}
         4:{1,2,4,5,6}:{(1,1),(9,1),(10,1),(21,1),(79,1),(87,1)}
         5:{2,3,4,5,7}:{(1,1),(10,1),(11,1),(24,1),(53,1),(88,1)}
         6:{2,3,5,6}:{(2,1),(13,1),(14,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(14,1),(15,1),(35,1),(65,1),(68,1)}
         8:{1,3,4,6,7}:{(3,1),(15,1),(16,1),(69,1)}
         9:{1,3,5,6}:{(4,1),(17,1),(18,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(18,1),(19,1),(35,1),(65,1),(73,1)}
        11:{2,3,4,6,7}:{(5,1),(19,1),(20,1),(74,1)}
        12:{1,2,3,5,6}:{(6,1),(9,1),(21,1),(22,1),(47,1),(77,1),(79,1)}
        13:{2,3,4,6}:{(6,1),(21,1),(23,1),(24,1)}
        14:{2,3,5,7}:{(6,1),(7,1),(24,1),(25,1)}
        15:{1,2,4,6,7}:{(7,1),(8,1),(25,1),(26,1),(54,1)}
        16:{1,3,5,6,7}:{(8,1),(26,1),(27,1),(55,1),(58,1)}
        17:{1,3,4,6}:{(9,1),(21,1),(28,1),(29,1)}
        18:{1,3,5,7}:{(9,1),(10,1),(29,1),(30,1)}
        19:{1,2,4,6,7}:{(10,1),(11,1),(30,1),(31,1),(59,1)}
        20:{2,3,5,6,7}:{(11,1),(31,1),(32,1),(53,1),(60,1)}
        21:{1,2,4,6}:{(12,1),(13,1),(17,1),(34,1),(35,1)}
        22:{1,2,3,5,7}:{(12,1),(14,1),(18,1),(35,1),(36,1),(65,1)}
        23:{2,3,4,5}:{(13,1),(34,1)}
        24:{2,3,4,7}:{(13,1),(14,1),(35,1)}
        25:{2,3,6,7}:{(14,1),(15,1)}
        26:{1,2,5,6,7}:{(15,1),(16,1),(39,1),(65,1)}
        27:{1,4,5,6,7}:{(16,1),(41,1),(73,1)}
        28:{1,3,4,5}:{(17,1),(34,1)}
        29:{1,3,4,7}:{(17,1),(18,1),(35,1)}
        30:{1,3,6,7}:{(18,1),(19,1)}
        31:{1,2,5,6,7}:{(19,1),(20,1),(44,1),(65,1)}
        32:{2,4,5,6,7}:{(20,1),(46,1),(68,1)}
        33:{1,2,3,4,6}:{(21,1),(47,1),(48,1),(77,1)}
        34:{1,2,4,5}:{(21,1),(23,1),(28,1),(47,1)}
        35:{1,2,4,7}:{(21,1),(22,1),(24,1),(29,1)}
        36:{1,2,3,6,7}:{(22,1),(25,1),(30,1),(50,1),(77,1)}
        37:{2,3,4,5,7}:{(23,1),(24,1),(49,1),(52,1),(53,1),(107,1)}
        38:{2,3,4,6,7}:{(24,1),(25,1),(50,1),(52,1),(53,1),(54,1),(81,1)}
        39:{2,3,5,6,7}:{(25,1),(26,1),(53,1),(54,1),(55,1)}
        40:{1,2,4,5,6,7}:{(26,1),(27,1),(54,1),(55,1),(56,1),(80,1),(84,1),(86,1)}
        41:{3,4,5,6,7}:{(27,1),(55,1),(56,1),(88,1)}
        42:{1,3,4,5,7}:{(28,1),(29,1),(49,1),(57,1),(58,1),(107,1)}
        43:{1,3,4,6,7}:{(29,1),(30,1),(50,1),(57,1),(58,1),(59,1),(81,1)}
        44:{1,3,5,6,7}:{(30,1),(31,1),(58,1),(59,1),(60,1)}
        45:{1,2,4,5,6,7}:{(31,1),(32,1),(59,1),(60,1),(61,1),(80,1),(90,1),(91,1)}
        46:{3,4,5,6,7}:{(32,1),(60,1),(61,1),(83,1)}
        47:{1,2,3,5}:{(33,1),(34,1)}
        48:{1,2,3,4,7}:{(33,1),(35,1),(62,1)}
        49:{1,2,4,5,7}:{(34,1),(35,1),(37,1),(42,1),(62,1),(64,1),(65,1)}
        50:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(43,1),(64,1),(65,1)}
        51:{1,2,3,5,6,7}:{(36,1),(39,1),(44,1),(65,1),(66,1),(70,1),(76,1),(92,1),(95,1),(125,1),(126,1)}
        52:{2,3,4,6}:{(37,1),(64,1),(67,1),(120,1)}
        53:{2,3,5,7}:{(38,1),(65,1),(67,1),(68,1),(95,1)}
        54:{2,4,6,7}:{(39,1),(68,1),(69,1)}
        55:{3,5,6,7}:{(40,1),(69,1),(95,1)}
        56:{2,4,5,6,7}:{(41,1),(71,1),(104,1)}
        57:{1,3,4,6}:{(42,1),(64,1),(72,1),(120,1)}
        58:{1,3,5,7}:{(43,1),(65,1),(72,1),(73,1),(95,1)}
        59:{1,4,6,7}:{(44,1),(73,1),(74,1)}
        60:{3,5,6,7}:{(45,1),(74,1),(95,1)}
        61:{1,4,5,6,7}:{(46,1),(75,1),(99,1)}
        62:{1,2,3,5,7}:{(47,1),(48,1),(49,1),(77,1)}
        63:{1,2,3,4,6,7}:{(48,1),(50,1),(77,1),(78,1),(81,1),(106,1),(111,1),(146,1),(147,1)}
        64:{1,2,4,6}:{(49,1),(52,1),(57,1),(77,1),(79,1)}
        65:{1,2,5,7}:{(50,1),(53,1),(58,1),(79,1)}
        66:{1,2,4,6,7}:{(51,1),(54,1),(59,1),(80,1),(81,1),(84,1),(90,1),(106,1)}
        67:{2,3,5,6}:{(52,1),(53,1),(79,1),(82,1),(108,1)}
        68:{2,4,5,7}:{(53,1),(54,1),(82,1),(83,1)}
        69:{3,4,6,7}:{(54,1),(55,1),(83,1),(84,1)}
        70:{1,3,5,6,7}:{(55,1),(84,1),(86,1),(109,1),(115,1)}
        71:{2,3,5,6,7}:{(55,1),(56,1),(85,1),(86,1),(110,1)}
        72:{1,3,5,6}:{(57,1),(58,1),(79,1),(87,1),(108,1)}
        73:{1,4,5,7}:{(58,1),(59,1),(87,1),(88,1)}
        74:{3,4,6,7}:{(59,1),(60,1),(88,1),(90,1)}
        75:{1,3,5,6,7}:{(60,1),(61,1),(89,1),(91,1),(109,1)}
        76:{2,3,5,6,7}:{(60,1),(90,1),(91,1),(110,1),(119,1)}
        77:{1,2,3,6}:{(62,1),(64,1)}
        78:{1,2,3,5,7}:{(63,1),(65,1),(92,1),(93,1),(95,1),(125,1)}
        79:{1,2,5,6}:{(64,1),(65,1),(67,1),(72,1)}
        80:{1,2,4,5,7}:{(65,1),(66,1),(68,1),(73,1),(94,1),(95,1),(99,1),(104,1),(125,1)}
        81:{3,4,6,7}:{(66,1),(95,1),(120,1)}
        82:{2,4,5,6}:{(67,1),(68,1),(98,1)}
        83:{3,4,5,7}:{(68,1),(69,1),(95,1),(98,1),(99,1)}
        84:{1,4,6,7}:{(69,1),(70,1),(99,1)}
        85:{2,3,4,6,7}:{(69,1),(71,1),(100,1),(101,1)}
        86:{1,2,5,6,7}:{(70,1),(71,1),(101,1),(125,1)}
        87:{1,4,5,6}:{(72,1),(73,1),(102,1)}
        88:{3,4,5,7}:{(73,1),(74,1),(95,1),(102,1),(104,1)}
        89:{1,3,4,6,7}:{(74,1),(75,1),(103,1),(105,1)}
        90:{2,4,6,7}:{(74,1),(76,1),(104,1)}
        91:{1,2,5,6,7}:{(75,1),(76,1),(105,1),(125,1)}
        92:{1,2,3,5,6}:{(77,1),(78,1),(79,1),(106,1),(108,1),(134,1),(146,1)}
        93:{1,2,4,5,7}:{(78,1),(106,1),(107,1)}
        94:{1,2,4,5,6}:{(79,1),(80,1),(82,1),(87,1),(106,1),(108,1),(112,1),(117,1),(134,1)}
        95:{3,5,7}:{(80,1),(81,1),(108,1)}
        96:{1,3,4,6,7}:{(81,1),(84,1),(109,1),(111,1),(115,1),(131,1),(137,1)}
        97:{2,3,4,6,7}:{(81,1),(90,1),(110,1),(111,1),(119,1),(132,1),(139,1)}
        98:{3,4,5,6}:{(82,1),(83,1),(108,1),(112,1)}
        99:{1,4,5,7}:{(83,1),(84,1),(109,1),(112,1)}
       100:{2,3,4,5,7}:{(83,1),(85,1),(110,1),(113,1),(114,1),(139,1)}
       101:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(114,1),(115,1)}
       102:{3,4,5,6}:{(87,1),(88,1),(108,1),(117,1)}
       103:{1,3,4,5,7}:{(88,1),(89,1),(109,1),(116,1),(118,1),(137,1)}
       104:{2,4,5,7}:{(88,1),(90,1),(110,1),(117,1)}
       105:{1,2,4,6,7}:{(89,1),(90,1),(91,1),(118,1),(119,1)}
       106:{1,2,4,6}:{(92,1),(93,1),(120,1)}
       107:{3,4,5,7}:{(93,1),(95,1),(120,1)}
       108:{3,5,6}:{(94,1),(95,1),(120,1)}
       109:{1,3,5,7}:{(95,1),(96,1),(99,1),(123,1),(125,1)}
       110:{2,3,5,7}:{(95,1),(97,1),(104,1),(124,1),(125,1)}
       111:{1,2,4,6,7}:{(96,1),(97,1),(125,1),(126,1),(140,1),(143,1)}
       112:{1,4,5,6}:{(98,1),(99,1),(123,1)}
       113:{2,3,4,5,6}:{(98,1),(100,1),(124,1),(127,1),(145,1)}
       114:{1,2,4,5,7}:{(99,1),(100,1),(101,1),(125,1),(127,1),(128,1),(143,1)}
       115:{1,3,6,7}:{(101,1),(128,1)}
       116:{1,3,4,5,6}:{(102,1),(103,1),(123,1),(129,1),(144,1)}
       117:{2,4,5,6}:{(102,1),(104,1),(124,1)}
       118:{1,2,4,5,7}:{(103,1),(104,1),(105,1),(125,1),(129,1),(130,1),(143,1)}
       119:{2,3,6,7}:{(105,1),(130,1)}
       120:{3,4,6}:{(106,1),(107,1),(108,1)}
       121:{1,3,4,5,7}:{(107,1),(109,1),(131,1),(133,1),(137,1),(149,1)}
       122:{2,3,4,5,7}:{(107,1),(110,1),(132,1),(133,1),(139,1),(150,1)}
       123:{1,3,5,6}:{(108,1),(109,1),(112,1),(131,1),(134,1)}
       124:{2,3,5,6}:{(108,1),(110,1),(117,1),(132,1),(134,1)}
       125:{1,2,5,7}:{(109,1),(110,1),(111,1),(134,1)}
       126:{1,2,3,6,7}:{(111,1),(115,1),(119,1),(135,1),(146,1)}
       127:{1,2,4,5,6}:{(112,1),(113,1),(114,1),(134,1),(136,1),(148,1)}
       128:{1,3,5,7}:{(114,1),(115,1),(136,1),(137,1)}
       129:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(134,1),(138,1),(148,1)}
       130:{2,3,5,7}:{(118,1),(119,1),(138,1),(139,1)}
       131:{1,3,4,6}:{(120,1),(121,1),(123,1),(140,1)}
       132:{2,3,4,6}:{(120,1),(122,1),(124,1),(140,1)}
       133:{1,2,4,5,7}:{(121,1),(122,1),(125,1),(140,1),(141,1),(143,1),(152,1)}
       134:{1,2,5,6}:{(123,1),(124,1),(125,1),(140,1)}
       135:{1,2,3,5,7}:{(125,1),(126,1),(128,1),(130,1),(142,1),(143,1)}
       136:{1,3,5,6}:{(127,1),(128,1),(144,1)}
       137:{1,3,4,7}:{(128,1),(143,1),(144,1)}
       138:{2,3,5,6}:{(129,1),(130,1),(145,1)}
       139:{2,3,4,7}:{(130,1),(143,1),(145,1)}
       140:{1,2,4,6}:{(131,1),(132,1),(133,1),(134,1),(146,1)}
       141:{1,2,3,5,7}:{(133,1),(146,1),(147,1),(153,1)}
       142:{1,2,3,5,6}:{(134,1),(135,1),(136,1),(138,1),(146,1),(148,1),(153,1)}
       143:{1,2,4,7}:{(135,1),(137,1),(139,1),(148,1)}
       144:{1,3,4,6}:{(136,1),(137,1),(148,1),(149,1)}
       145:{2,3,4,6}:{(138,1),(139,1),(148,1),(150,1)}
       146:{1,2,3,6}:{(140,1),(141,1)}
       147:{1,2,3,4,7}:{(141,1),(143,1),(151,1)}
       148:{1,2,4,6}:{(142,1),(143,1),(144,1),(145,1),(152,1)}
       149:{1,3,4,5}:{(144,1),(152,1)}
       150:{2,3,4,5}:{(145,1),(152,1)}
       151:{1,2,3,4,6}:{(146,1),(147,1),(148,1),(153,1)}
       152:{1,2,4,5}:{(148,1),(149,1),(150,1),(153,1)}
       153:{1,2,3,5}:{(151,1),(152,1)}

2001 :  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:{3,4,5,6}:{(4,1),(9,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,2,3,6,7}:{(5,1),(10,1)}
        9:{3,4,5,7}:{(6,1),(7,1),(11,1)}
       10:{1,2,4,6,7}:{(7,1),(8,1),(11,1),(12,1)}
       11:{3,4,6,7}:{(9,1),(10,1),(13,1)}
       12:{1,2,5,6,7}:{(10,1),(13,1)}
       13:{3,5,6,7}:{(11,1),(12,1),(14,1)}
       14:{4,5,6,7}:{(13,1)}

2002 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(34,1),(38,1),(39,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(45,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(15,1),(37,1),(38,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(7,1),(20,1),(29,1),(30,1),(45,1),(46,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(20,1)}
        7:{1,2,4,6,7}:{(4,1),(5,1),(13,1),(14,1),(40,1),(41,1)}
        8:{1,2,4,5,6}:{(5,1),(13,1),(15,1),(35,1),(36,1),(37,1)}
        9:{3,4,6}:{(5,1),(6,1),(15,1)}
       10:{1,3,4,5,7}:{(6,1),(16,1),(18,1),(32,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(17,1),(18,1),(33,1),(61,1),(62,1)}
       12:{1,2,4,5,6,7}:{(13,1),(19,1),(40,1),(41,1),(42,1)}
       13:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(43,1),(44,1),(45,1)}
       14:{3,4,6,7}:{(7,1),(9,1),(20,1)}
       15:{3,5,6}:{(8,1),(9,1),(20,1)}
       16:{1,3,4,6}:{(9,1),(10,1),(24,1),(26,1),(59,1)}
       17:{2,3,4,6}:{(9,1),(11,1),(25,1),(26,1),(59,1)}
       18:{1,2,4,5,7}:{(10,1),(11,1),(26,1),(27,1),(45,1),(58,1),(60,1)}
       19:{3,5,6,7}:{(12,1),(20,1),(28,1)}
       20:{3,5,7}:{(13,1),(14,1),(15,1)}
       21:{1,3,4,6,7}:{(14,1),(16,1),(32,1),(34,1),(40,1),(56,1),(61,1)}
       22:{2,3,4,6,7}:{(14,1),(17,1),(33,1),(34,1),(41,1),(56,1),(61,1)}
       23:{3,4,5,6}:{(15,1),(31,1),(35,1),(36,1),(53,1)}
       24:{1,3,5,6}:{(15,1),(16,1),(32,1),(35,1),(37,1),(53,1)}
       25:{2,3,5,6}:{(15,1),(17,1),(33,1),(36,1),(37,1),(53,1)}
       26:{1,2,4,6}:{(16,1),(17,1),(18,1),(37,1),(38,1)}
       27:{1,2,3,5,7}:{(18,1),(38,1),(39,1),(55,1)}
       28:{3,4,6,7}:{(19,1),(31,1),(40,1),(41,1),(56,1)}
       29:{1,3,5,6,7}:{(19,1),(32,1),(40,1),(42,1),(56,1)}
       30:{2,3,5,6,7}:{(19,1),(33,1),(41,1),(42,1),(56,1)}
       31:{3,4,5,7}:{(20,1),(23,1),(28,1),(43,1),(44,1),(57,1)}
       32:{1,3,5,7}:{(20,1),(21,1),(24,1),(43,1),(45,1),(57,1)}
       33:{2,3,5,7}:{(20,1),(22,1),(25,1),(44,1),(45,1),(57,1)}
       34:{1,2,4,6,7}:{(21,1),(22,1),(26,1),(45,1),(46,1),(58,1)}
       35:{1,4,5,6}:{(23,1),(24,1),(43,1)}
       36:{2,4,5,6}:{(23,1),(25,1),(44,1)}
       37:{1,2,5,6}:{(24,1),(25,1),(26,1),(45,1)}
       38:{1,2,3,6}:{(26,1),(27,1)}
       39:{1,2,3,4,7}:{(27,1),(49,1),(58,1)}
       40:{1,4,6,7}:{(28,1),(29,1),(43,1)}
       41:{2,4,6,7}:{(28,1),(30,1),(44,1)}
       42:{1,2,5,6,7}:{(29,1),(30,1),(45,1),(50,1)}
       43:{1,4,5,7}:{(31,1),(32,1),(35,1),(40,1)}
       44:{2,4,5,7}:{(31,1),(33,1),(36,1),(41,1)}
       45:{1,2,5,7}:{(32,1),(33,1),(34,1),(37,1)}
       46:{1,2,3,6,7}:{(34,1),(38,1),(52,1),(56,1)}
       47:{1,2,4,5,6}:{(35,1),(36,1),(37,1),(51,1),(53,1),(54,1)}
       48:{1,2,3,5,6}:{(37,1),(38,1),(52,1),(53,1),(54,1),(55,1)}
       49:{1,2,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       50:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(51,1),(56,1)}
       51:{1,2,4,5,7}:{(43,1),(44,1),(45,1),(47,1),(50,1),(57,1),(58,1)}
       52:{1,2,3,5,7}:{(45,1),(46,1),(48,1),(57,1),(58,1)}
       53:{3,5,6}:{(47,1),(57,1),(59,1)}
       54:{1,2,4,6}:{(48,1),(58,1),(59,1),(60,1)}
       55:{1,2,3,5}:{(49,1),(60,1)}
       56:{3,6,7}:{(50,1),(57,1)}
       57:{3,5,7}:{(51,1),(53,1),(56,1),(61,1)}
       58:{1,2,4,7}:{(52,1),(54,1),(61,1)}
       59:{3,4,6}:{(53,1),(54,1),(61,1),(62,1)}
       60:{1,2,4,5}:{(54,1),(55,1),(62,1)}
       61:{3,4,7}:{(57,1),(58,1),(59,1)}
       62:{3,4,5}:{(59,1),(60,1)}

2003 :   0:{1,3,4,5,7}:{(8,1),(9,1),(13,1),(47,1),(100,1),(108,1),(112,1),(153,1),(162,1),(166,1)}
         1:{2,3,4,5,7}:{(10,1),(11,1),(15,1),(43,1),(96,1),(107,1),(113,1),(157,1),(162,1),(169,1)}
         2:{1,3,4,6,7}:{(9,1),(12,1),(13,1),(20,1),(64,1),(108,1),(122,1)}
         3:{2,3,4,6,7}:{(11,1),(14,1),(15,1),(17,1),(61,1),(113,1),(118,1)}
         4:{2,3,5,6,7}:{(15,1),(16,1),(17,1),(18,1),(61,1),(106,1)}
         5:{2,4,5,6,7}:{(17,1),(18,1),(120,1)}
         6:{1,3,5,6,7}:{(13,1),(19,1),(20,1),(21,1),(64,1),(111,1)}
         7:{1,4,5,6,7}:{(20,1),(21,1),(116,1)}
         8:{1,2,4,5,7}:{(0,1),(22,1),(23,1),(29,1),(66,1),(79,1),(124,1),(126,1)}
         9:{1,3,4,6}:{(0,1),(23,1),(24,1),(127,1),(142,1),(182,1),(186,1)}
        10:{1,2,4,5,7}:{(1,1),(25,1),(26,1),(32,1),(66,1),(83,1),(124,1),(130,1)}
        11:{2,3,4,6}:{(1,1),(26,1),(27,1),(131,1),(137,1),(182,1),(188,1)}
        12:{1,2,4,6,7}:{(2,1),(23,1),(28,1),(29,1),(79,1)}
        13:{1,3,5,7}:{(2,1),(24,1),(29,1),(30,1),(80,1),(150,1)}
        14:{1,2,4,6,7}:{(3,1),(26,1),(31,1),(32,1),(83,1)}
        15:{2,3,5,7}:{(3,1),(27,1),(32,1),(33,1),(84,1),(148,1)}
        16:{1,2,5,6,7}:{(4,1),(32,1),(34,1),(35,1),(37,1),(134,1),(148,1)}
        17:{2,4,6,7}:{(4,1),(33,1),(36,1),(137,1)}
        18:{3,5,6,7}:{(5,1),(36,1),(37,1),(149,1)}
        19:{1,2,5,6,7}:{(6,1),(29,1),(38,1),(39,1),(41,1),(134,1),(150,1)}
        20:{1,4,6,7}:{(6,1),(30,1),(40,1),(142,1)}
        21:{3,5,6,7}:{(7,1),(40,1),(41,1),(147,1)}
        22:{2,3,5,7}:{(8,1),(43,1),(44,1),(96,1),(162,1)}
        23:{1,2,4,6}:{(8,1),(9,1),(44,1),(45,1),(97,1)}
        24:{1,3,5,6}:{(9,1),(13,1),(45,1),(46,1),(98,1),(100,1),(172,1)}
        25:{1,3,5,7}:{(10,1),(47,1),(48,1),(100,1),(162,1)}
        26:{1,2,4,6}:{(10,1),(11,1),(48,1),(49,1),(101,1)}
        27:{2,3,5,6}:{(11,1),(15,1),(49,1),(50,1),(96,1),(102,1),(171,1)}
        28:{2,3,6,7}:{(12,1),(44,1),(53,1),(64,1)}
        29:{1,2,5,7}:{(12,1),(13,1),(45,1),(53,1)}
        30:{1,4,5,7}:{(13,1),(20,1),(46,1),(55,1)}
        31:{1,3,6,7}:{(14,1),(48,1),(57,1),(61,1)}
        32:{1,2,5,7}:{(14,1),(15,1),(49,1),(57,1)}
        33:{2,4,5,7}:{(15,1),(17,1),(50,1),(59,1)}
        34:{1,3,5,6,7}:{(16,1),(57,1),(60,1),(61,1),(111,1),(117,1)}
        35:{1,2,4,6,7}:{(16,1),(17,1),(58,1),(60,1),(61,1),(62,1),(118,1),(119,1),(161,1)}
        36:{3,4,6,7}:{(17,1),(18,1),(59,1),(61,1),(62,1),(165,1)}
        37:{1,5,6,7}:{(18,1),(62,1),(172,1)}
        38:{2,3,5,6,7}:{(19,1),(53,1),(63,1),(64,1),(106,1),(121,1)}
        39:{1,2,4,6,7}:{(19,1),(20,1),(54,1),(63,1),(64,1),(65,1),(122,1),(123,1),(161,1)}
        40:{3,4,6,7}:{(20,1),(21,1),(55,1),(64,1),(65,1),(168,1)}
        41:{2,5,6,7}:{(21,1),(65,1),(171,1)}
        42:{1,2,3,5,7}:{(22,1),(25,1),(66,1),(67,1),(124,1)}
        43:{2,3,4,7}:{(22,1),(66,1),(68,1),(79,1),(136,1)}
        44:{2,3,6}:{(22,1),(23,1),(182,1)}
        45:{1,2,5,6}:{(23,1),(24,1),(29,1),(69,1),(124,1)}
        46:{1,4,5,6}:{(24,1),(30,1),(71,1),(130,1),(142,1)}
        47:{1,3,4,7}:{(25,1),(66,1),(72,1),(83,1),(136,1)}
        48:{1,3,6}:{(25,1),(26,1),(182,1)}
        49:{1,2,5,6}:{(26,1),(27,1),(32,1),(73,1),(124,1)}
        50:{2,4,5,6}:{(27,1),(33,1),(75,1),(126,1),(137,1)}
        51:{1,2,3,6,7}:{(28,1),(31,1),(67,1),(76,1),(77,1),(89,1),(92,1),(182,1),(205,1)}
        52:{2,3,4,6,7}:{(28,1),(68,1),(76,1),(78,1),(79,1),(91,1),(136,1),(137,1),(182,1)}
        53:{2,3,5,7}:{(28,1),(29,1),(69,1),(79,1),(80,1)}
        54:{1,2,4,5,7}:{(29,1),(30,1),(39,1),(70,1),(79,1),(80,1),(81,1),(90,1),(139,1),(141,1),(150,1)}
        55:{3,4,5,7}:{(30,1),(40,1),(71,1),(80,1),(81,1)}
        56:{1,3,4,6,7}:{(31,1),(72,1),(76,1),(82,1),(83,1),(87,1),(136,1),(142,1),(182,1)}
        57:{1,3,5,7}:{(31,1),(32,1),(73,1),(83,1),(84,1)}
        58:{1,2,4,5,7}:{(32,1),(33,1),(35,1),(74,1),(83,1),(84,1),(85,1),(86,1),(145,1),(146,1),(148,1)}
        59:{3,4,5,7}:{(33,1),(36,1),(75,1),(84,1),(85,1)}
        60:{1,4,6,7}:{(34,1),(83,1),(86,1),(87,1),(142,1)}
        61:{3,6,7}:{(35,1),(84,1),(182,1)}
        62:{1,4,6,7}:{(36,1),(37,1),(85,1),(88,1),(186,1)}
        63:{2,4,6,7}:{(38,1),(79,1),(90,1),(91,1),(137,1)}
        64:{3,6,7}:{(39,1),(80,1),(182,1)}
        65:{2,4,6,7}:{(40,1),(41,1),(81,1),(93,1),(188,1)}
        66:{1,2,4,7}:{(42,1),(43,1),(47,1),(94,1)}
        67:{1,2,3,6}:{(42,1),(44,1),(48,1),(94,1)}
        68:{2,3,4,6}:{(43,1),(44,1),(94,1),(96,1),(97,1),(152,1)}
        69:{2,3,5,6}:{(44,1),(45,1),(53,1),(96,1),(97,1),(98,1)}
        70:{1,2,4,5,6}:{(45,1),(46,1),(54,1),(97,1),(98,1),(99,1),(120,1),(151,1),(154,1),(156,1),(161,1),(172,1)}
        71:{3,4,5,6}:{(46,1),(55,1),(98,1),(99,1),(157,1),(168,1)}
        72:{1,3,4,6}:{(47,1),(48,1),(94,1),(100,1),(101,1),(152,1)}
        73:{1,3,5,6}:{(48,1),(49,1),(57,1),(100,1),(101,1),(102,1)}
        74:{1,2,4,5,6}:{(49,1),(50,1),(58,1),(101,1),(102,1),(103,1),(116,1),(151,1),(159,1),(160,1),(161,1),(171,1)}
        75:{3,4,5,6}:{(50,1),(59,1),(102,1),(103,1),(153,1),(165,1)}
        76:{1,2,4,6,7}:{(51,1),(52,1),(56,1),(94,1),(104,1),(105,1),(118,1),(122,1),(161,1)}
        77:{1,2,3,5,7}:{(51,1),(53,1),(57,1),(95,1),(104,1),(105,1),(109,1),(115,1),(162,1),(199,1),(200,1)}
        78:{2,3,5,7}:{(52,1),(96,1),(104,1),(106,1),(107,1),(121,1),(162,1)}
        79:{2,4,7}:{(53,1),(97,1),(108,1)}
        80:{3,5,7}:{(54,1),(64,1),(98,1),(108,1)}
        81:{2,4,5,7}:{(55,1),(65,1),(99,1),(110,1)}
        82:{1,3,5,7}:{(56,1),(100,1),(104,1),(111,1),(112,1),(117,1),(162,1)}
        83:{1,4,7}:{(57,1),(101,1),(113,1)}
        84:{3,5,7}:{(58,1),(61,1),(102,1),(113,1)}
        85:{1,4,5,7}:{(59,1),(62,1),(103,1),(114,1)}
        86:{1,4,5,7}:{(60,1),(116,1),(117,1)}
        87:{3,4,6,7}:{(60,1),(61,1),(113,1),(117,1),(118,1),(168,1)}
        88:{1,3,6,7}:{(61,1),(62,1),(114,1),(119,1),(197,1)}
        89:{2,3,6,7}:{(61,1),(115,1),(118,1),(119,1),(198,1)}
        90:{2,4,5,7}:{(63,1),(120,1),(121,1)}
        91:{3,4,6,7}:{(63,1),(64,1),(108,1),(121,1),(122,1),(165,1)}
        92:{1,3,6,7}:{(64,1),(109,1),(122,1),(123,1),(197,1)}
        93:{2,3,6,7}:{(64,1),(65,1),(110,1),(123,1),(198,1)}
        94:{1,2,4,6}:{(66,1),(67,1),(68,1),(72,1),(124,1)}
        95:{1,2,3,5,6}:{(67,1),(69,1),(73,1),(77,1),(124,1),(125,1),(128,1),(133,1),(134,1),(173,1),(182,1),(201,1),(202,1),(205,1)}
        96:{2,3,5}:{(68,1),(124,1),(126,1),(173,1)}
        97:{2,4,6}:{(69,1),(79,1),(126,1),(127,1)}
        98:{3,5,6}:{(70,1),(80,1),(127,1),(173,1),(182,1)}
        99:{2,4,5,6}:{(71,1),(81,1),(129,1),(180,1),(188,1)}
       100:{1,3,5}:{(72,1),(124,1),(130,1),(173,1)}
       101:{1,4,6}:{(73,1),(83,1),(130,1),(131,1)}
       102:{3,5,6}:{(74,1),(84,1),(131,1),(173,1),(182,1)}
       103:{1,4,5,6}:{(75,1),(85,1),(132,1),(176,1),(186,1)}
       104:{1,2,5,7}:{(76,1),(78,1),(82,1),(124,1),(134,1),(148,1),(150,1)}
       105:{1,2,4,7}:{(77,1),(79,1),(83,1),(125,1),(136,1),(139,1),(145,1)}
       106:{2,3,5,6}:{(78,1),(134,1),(137,1),(149,1),(182,1)}
       107:{2,4,5,7}:{(78,1),(79,1),(126,1),(137,1),(138,1)}
       108:{3,4,7}:{(79,1),(80,1),(127,1),(139,1)}
       109:{1,3,5,7}:{(80,1),(92,1),(128,1),(139,1),(141,1),(150,1),(187,1)}
       110:{2,3,5,7}:{(80,1),(81,1),(93,1),(129,1),(140,1),(141,1)}
       111:{1,3,5,6}:{(82,1),(134,1),(142,1),(147,1),(182,1)}
       112:{1,4,5,7}:{(82,1),(83,1),(130,1),(142,1),(143,1)}
       113:{3,4,7}:{(83,1),(84,1),(131,1),(145,1)}
       114:{1,3,5,7}:{(84,1),(85,1),(88,1),(132,1),(144,1),(146,1)}
       115:{2,3,5,7}:{(84,1),(89,1),(133,1),(145,1),(146,1),(148,1),(189,1)}
       116:{1,4,5,6}:{(86,1),(142,1),(147,1)}
       117:{3,5,7}:{(86,1),(87,1),(147,1),(148,1)}
       118:{2,4,6,7}:{(87,1),(89,1),(145,1),(148,1),(188,1)}
       119:{1,2,6,7}:{(88,1),(89,1),(146,1),(205,1)}
       120:{2,4,5,6}:{(90,1),(137,1),(149,1)}
       121:{3,5,7}:{(90,1),(91,1),(149,1),(150,1)}
       122:{1,4,6,7}:{(91,1),(92,1),(139,1),(150,1),(186,1)}
       123:{1,2,6,7}:{(92,1),(93,1),(141,1),(205,1)}
       124:{1,2,5}:{(94,1),(96,1),(100,1)}
       125:{1,2,4,6}:{(95,1),(97,1),(101,1),(105,1),(151,1),(152,1),(154,1),(159,1)}
       126:{2,4,5}:{(96,1),(97,1),(153,1)}
       127:{3,4,6}:{(97,1),(98,1),(108,1),(153,1),(154,1)}
       128:{1,3,5,6}:{(98,1),(109,1),(154,1),(156,1),(172,1),(190,1),(194,1),(197,1)}
       129:{2,3,5,6}:{(98,1),(99,1),(110,1),(155,1),(156,1),(191,1),(198,1)}
       130:{1,4,5}:{(100,1),(101,1),(157,1)}
       131:{3,4,6}:{(101,1),(102,1),(113,1),(157,1),(159,1)}
       132:{1,3,5,6}:{(102,1),(103,1),(114,1),(158,1),(160,1),(190,1),(197,1)}
       133:{2,3,5,6}:{(102,1),(115,1),(159,1),(160,1),(171,1),(191,1),(196,1),(198,1)}
       134:{1,2,5,6}:{(104,1),(106,1),(111,1),(161,1),(171,1),(172,1)}
       135:{1,2,4,5,7}:{(104,1),(105,1),(107,1),(112,1),(151,1),(161,1),(162,1),(166,1),(169,1),(199,1)}
       136:{3,4,7}:{(105,1),(152,1),(162,1)}
       137:{2,4,6}:{(106,1),(107,1),(165,1)}
       138:{3,4,5,7}:{(107,1),(108,1),(121,1),(153,1),(162,1),(165,1),(166,1)}
       139:{1,4,7}:{(108,1),(109,1),(154,1)}
       140:{2,3,4,7}:{(108,1),(110,1),(155,1),(167,1)}
       141:{1,2,5,7}:{(109,1),(110,1),(123,1),(156,1),(167,1)}
       142:{1,4,6}:{(111,1),(112,1),(168,1)}
       143:{3,4,5,7}:{(112,1),(113,1),(117,1),(157,1),(162,1),(168,1),(169,1)}
       144:{1,3,4,7}:{(113,1),(114,1),(158,1),(170,1)}
       145:{2,4,7}:{(113,1),(115,1),(159,1)}
       146:{1,2,5,7}:{(114,1),(115,1),(119,1),(160,1),(170,1)}
       147:{3,5,6}:{(116,1),(117,1),(168,1),(171,1)}
       148:{2,5,7}:{(117,1),(118,1),(171,1)}
       149:{3,5,6}:{(120,1),(121,1),(165,1),(172,1)}
       150:{1,5,7}:{(121,1),(122,1),(172,1)}
       151:{1,2,4,5}:{(124,1),(125,1),(126,1),(130,1),(173,1),(176,1),(180,1),(201,1)}
       152:{3,4,6}:{(125,1),(136,1),(173,1),(182,1)}
       153:{3,4,5}:{(126,1),(127,1),(173,1),(176,1)}
       154:{1,4,6}:{(127,1),(128,1),(139,1),(176,1)}
       155:{2,3,4,6}:{(127,1),(129,1),(140,1),(177,1),(178,1)}
       156:{1,2,5,6}:{(128,1),(129,1),(141,1),(178,1),(201,1),(205,1)}
       157:{3,4,5}:{(130,1),(131,1),(173,1),(180,1)}
       158:{1,3,4,6}:{(131,1),(132,1),(144,1),(179,1),(181,1)}
       159:{2,4,6}:{(131,1),(133,1),(145,1),(180,1)}
       160:{1,2,5,6}:{(132,1),(133,1),(146,1),(181,1),(201,1),(205,1)}
       161:{1,2,4,6}:{(134,1),(135,1),(137,1),(142,1),(182,1),(186,1),(188,1),(205,1)}
       162:{3,5,7}:{(135,1),(136,1),(173,1),(182,1)}
       163:{1,3,4,7}:{(136,1),(139,1),(174,1),(183,1),(185,1),(187,1)}
       164:{2,3,4,7}:{(136,1),(145,1),(175,1),(184,1),(185,1),(189,1)}
       165:{3,4,6}:{(137,1),(138,1),(149,1),(182,1),(186,1)}
       166:{1,4,5,7}:{(138,1),(139,1),(150,1),(176,1),(183,1),(186,1)}
       167:{1,2,4,7}:{(139,1),(140,1),(141,1),(178,1),(187,1)}
       168:{3,4,6}:{(142,1),(143,1),(147,1),(182,1),(188,1)}
       169:{2,4,5,7}:{(143,1),(145,1),(148,1),(180,1),(184,1),(188,1)}
       170:{1,2,4,7}:{(144,1),(145,1),(146,1),(181,1),(189,1)}
       171:{2,5,6}:{(147,1),(148,1),(188,1)}
       172:{1,5,6}:{(149,1),(150,1),(186,1)}
       173:{3,5}:{(151,1),(152,1)}
       174:{1,3,4,6}:{(152,1),(154,1),(163,1),(190,1),(192,1),(194,1),(197,1),(207,1)}
       175:{2,3,4,6}:{(152,1),(159,1),(164,1),(191,1),(192,1),(196,1),(198,1),(208,1)}
       176:{1,4,5}:{(153,1),(154,1),(190,1)}
       177:{2,3,4,5}:{(153,1),(155,1),(191,1),(193,1),(208,1)}
       178:{1,2,4,6}:{(154,1),(155,1),(156,1),(167,1),(193,1),(194,1)}
       179:{1,3,4,5}:{(157,1),(158,1),(190,1),(195,1),(207,1)}
       180:{2,4,5}:{(157,1),(159,1),(191,1)}
       181:{1,2,4,6}:{(158,1),(159,1),(160,1),(170,1),(195,1),(196,1)}
       182:{3,6}:{(161,1),(162,1)}
       183:{1,3,5,7}:{(162,1),(163,1),(166,1),(190,1),(197,1),(199,1)}
       184:{2,3,5,7}:{(162,1),(164,1),(169,1),(191,1),(198,1),(199,1)}
       185:{1,2,4,7}:{(163,1),(164,1),(192,1),(199,1),(200,1)}
       186:{1,4,6}:{(165,1),(166,1),(172,1),(197,1)}
       187:{1,3,7}:{(167,1),(194,1)}
       188:{2,4,6}:{(168,1),(169,1),(171,1),(198,1)}
       189:{2,3,7}:{(170,1),(196,1)}
       190:{1,3,5}:{(173,1),(174,1),(176,1),(201,1)}
       191:{2,3,5}:{(173,1),(175,1),(180,1),(201,1)}
       192:{1,2,4,6}:{(174,1),(175,1),(185,1),(201,1),(202,1),(205,1),(209,1)}
       193:{1,2,4,5}:{(176,1),(177,1),(178,1),(201,1),(203,1),(209,1)}
       194:{1,3,6}:{(178,1),(187,1),(203,1)}
       195:{1,2,4,5}:{(179,1),(180,1),(181,1),(201,1),(204,1),(209,1)}
       196:{2,3,6}:{(181,1),(189,1),(204,1)}
       197:{1,3,6}:{(182,1),(183,1),(186,1),(205,1)}
       198:{2,3,6}:{(182,1),(184,1),(188,1),(205,1)}
       199:{1,2,5,7}:{(183,1),(184,1),(185,1),(201,1),(205,1)}
       200:{1,2,3,7}:{(185,1),(187,1),(189,1),(202,1)}
       201:{1,2,5}:{(190,1),(191,1),(192,1)}
       202:{1,2,3,6}:{(192,1),(194,1),(196,1),(200,1),(206,1)}
       203:{1,3,5}:{(193,1),(194,1),(207,1)}
       204:{2,3,5}:{(195,1),(196,1),(208,1)}
       205:{1,2,6}:{(197,1),(198,1),(199,1)}
       206:{1,2,3,5}:{(201,1),(202,1),(203,1),(204,1),(209,1)}
       207:{1,3,4}:{(203,1),(209,1)}
       208:{2,3,4}:{(204,1),(209,1)}
       209:{1,2,4}:{(206,1),(207,1),(208,1)}

2004 :   0:{1,2,3,5,6,7}:{(3,1),(19,1),(29,1),(37,1),(64,1),(65,1),(69,1),(70,1),(78,1),(80,1),(88,1),(90,1),(119,1),(129,1),(135,1)}
         1:{1,2,4,5,6,7}:{(4,1),(18,1),(27,1),(28,1),(29,1),(77,1)}
         2:{1,2,4,5,6,7}:{(5,1),(18,1),(35,1),(36,1),(37,1),(87,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(91,1),(92,1),(106,1),(114,1),(140,1),(148,1),(152,1)}
         4:{3,5,6,7}:{(1,1),(10,1),(38,1),(105,1)}
         5:{3,5,6,7}:{(2,1),(15,1),(38,1),(113,1)}
         6:{1,2,4,5,7}:{(3,1),(18,1),(19,1),(67,1),(68,1),(69,1),(156,1)}
         7:{3,4,6,7}:{(3,1),(19,1),(63,1),(80,1),(90,1),(130,1),(136,1),(155,1)}
         8:{2,3,4,5,7}:{(22,1),(23,1),(25,1),(68,1),(85,1),(123,1),(130,1),(134,1),(161,1)}
         9:{2,3,4,6,7}:{(22,1),(25,1),(26,1),(28,1),(80,1),(130,1)}
        10:{3,4,6,7}:{(4,1),(24,1),(27,1),(28,1),(63,1),(80,1),(130,1)}
        11:{1,3,5,6,7}:{(4,1),(27,1),(29,1),(64,1),(76,1),(78,1),(80,1)}
        12:{2,3,5,6,7}:{(4,1),(25,1),(28,1),(29,1),(65,1),(80,1),(129,1)}
        13:{1,3,4,5,7}:{(30,1),(31,1),(33,1),(67,1),(75,1),(123,1),(128,1),(136,1),(163,1)}
        14:{1,3,4,6,7}:{(30,1),(33,1),(34,1),(35,1),(90,1),(136,1)}
        15:{3,4,6,7}:{(5,1),(32,1),(35,1),(36,1),(63,1),(90,1),(136,1)}
        16:{1,3,5,6,7}:{(5,1),(33,1),(35,1),(37,1),(64,1),(90,1),(135,1)}
        17:{2,3,5,6,7}:{(5,1),(36,1),(37,1),(65,1),(86,1),(88,1),(90,1)}
        18:{1,2,4,5,6}:{(6,1),(38,1),(91,1),(92,1),(93,1)}
        19:{3,5,7}:{(6,1),(7,1),(38,1),(167,1)}
        20:{1,3,4,6,7}:{(7,1),(40,1),(42,1),(50,1),(91,1),(103,1),(106,1),(115,1),(139,1),(144,1),(152,1),(166,1)}
        21:{2,3,4,6,7}:{(7,1),(41,1),(42,1),(60,1),(92,1),(107,1),(111,1),(114,1),(139,1),(144,1),(148,1),(165,1)}
        22:{2,3,4,6}:{(8,1),(44,1),(45,1),(92,1),(139,1),(146,1)}
        23:{1,2,4,5,7}:{(8,1),(45,1),(46,1),(49,1),(95,1),(106,1),(141,1),(147,1)}
        24:{3,4,5,7}:{(10,1),(43,1),(47,1),(48,1),(105,1)}
        25:{2,3,5,7}:{(9,1),(44,1),(48,1),(49,1),(105,1)}
        26:{1,2,4,6,7}:{(9,1),(45,1),(49,1),(50,1),(106,1)}
        27:{1,4,6,7}:{(10,1),(11,1),(47,1),(91,1),(106,1)}
        28:{2,4,6,7}:{(10,1),(12,1),(48,1),(92,1),(148,1)}
        29:{1,2,5,6,7}:{(11,1),(12,1),(49,1),(52,1),(93,1),(104,1)}
        30:{1,3,4,6}:{(13,1),(54,1),(55,1),(91,1),(139,1),(150,1)}
        31:{1,2,4,5,7}:{(13,1),(55,1),(56,1),(59,1),(95,1),(114,1),(141,1),(151,1)}
        32:{3,4,5,7}:{(15,1),(53,1),(57,1),(58,1),(113,1)}
        33:{1,3,5,7}:{(14,1),(54,1),(57,1),(59,1),(113,1)}
        34:{1,2,4,6,7}:{(14,1),(55,1),(59,1),(60,1),(114,1)}
        35:{1,4,6,7}:{(15,1),(16,1),(57,1),(91,1),(152,1)}
        36:{2,4,6,7}:{(15,1),(17,1),(58,1),(92,1),(114,1)}
        37:{1,2,5,6,7}:{(16,1),(17,1),(59,1),(62,1),(93,1),(112,1)}
        38:{3,5,6}:{(18,1),(19,1),(63,1)}
        39:{3,4,5,7}:{(19,1),(63,1),(67,1),(68,1),(123,1),(130,1),(136,1),(161,1),(163,1)}
        40:{1,3,5,7}:{(19,1),(20,1),(64,1),(67,1),(69,1),(123,1),(128,1),(173,1)}
        41:{2,3,5,7}:{(19,1),(21,1),(65,1),(68,1),(69,1),(123,1),(134,1),(172,1)}
        42:{1,2,4,6,7}:{(20,1),(21,1),(69,1),(70,1),(118,1),(120,1),(124,1),(171,1)}
        43:{3,4,5,6}:{(24,1),(63,1),(71,1),(72,1),(126,1),(163,1)}
        44:{2,3,5,6}:{(22,1),(25,1),(72,1),(73,1),(126,1),(134,1)}
        45:{1,2,4,6}:{(22,1),(23,1),(73,1),(74,1),(127,1)}
        46:{1,3,5,7}:{(23,1),(74,1),(75,1),(123,1),(128,1)}
        47:{1,4,5,7}:{(24,1),(27,1),(71,1),(76,1)}
        48:{2,4,5,7}:{(24,1),(25,1),(28,1),(72,1)}
        49:{1,2,5,7}:{(25,1),(26,1),(73,1),(78,1)}
        50:{1,3,6,7}:{(26,1),(74,1),(78,1),(80,1)}
        51:{1,3,4,6,7}:{(27,1),(76,1),(79,1),(80,1),(116,1),(130,1)}
        52:{1,2,4,6,7}:{(27,1),(28,1),(29,1),(77,1),(80,1),(118,1)}
        53:{3,4,5,6}:{(32,1),(63,1),(81,1),(82,1),(132,1),(161,1)}
        54:{1,3,5,6}:{(30,1),(33,1),(81,1),(83,1),(128,1),(132,1)}
        55:{1,2,4,6}:{(30,1),(31,1),(83,1),(84,1),(133,1)}
        56:{2,3,5,7}:{(31,1),(84,1),(85,1),(123,1),(134,1)}
        57:{1,4,5,7}:{(32,1),(33,1),(35,1),(81,1)}
        58:{2,4,5,7}:{(32,1),(36,1),(82,1),(86,1)}
        59:{1,2,5,7}:{(33,1),(34,1),(83,1),(88,1)}
        60:{2,3,6,7}:{(34,1),(84,1),(88,1),(90,1)}
        61:{2,3,4,6,7}:{(36,1),(86,1),(89,1),(90,1),(117,1),(136,1)}
        62:{1,2,4,6,7}:{(35,1),(36,1),(37,1),(87,1),(90,1),(118,1)}
        63:{3,4,6}:{(38,1),(39,1),(91,1),(92,1),(139,1)}
        64:{1,3,5,6}:{(38,1),(40,1),(91,1),(93,1),(139,1)}
        65:{2,3,5,6}:{(38,1),(41,1),(92,1),(93,1),(139,1)}
        66:{1,2,3,5,7}:{(46,1),(56,1),(94,1),(95,1),(141,1)}
        67:{1,4,5,7}:{(39,1),(40,1),(91,1),(106,1),(147,1),(152,1),(170,1)}
        68:{2,4,5,7}:{(39,1),(41,1),(92,1),(114,1),(148,1),(151,1),(169,1)}
        69:{1,2,5,7}:{(40,1),(41,1),(42,1),(93,1),(141,1),(174,1)}
        70:{1,2,3,6,7}:{(42,1),(50,1),(60,1),(94,1),(99,1),(107,1),(115,1),(139,1),(164,1)}
        71:{1,4,5,6}:{(43,1),(47,1),(91,1),(100,1),(170,1)}
        72:{2,4,5,6}:{(43,1),(44,1),(48,1),(92,1),(151,1)}
        73:{1,2,5,6}:{(44,1),(45,1),(49,1),(102,1),(141,1)}
        74:{1,3,6}:{(45,1),(46,1),(139,1)}
        75:{1,3,4,7}:{(46,1),(95,1),(103,1),(106,1),(144,1)}
        76:{1,3,5,7}:{(47,1),(51,1),(100,1),(104,1),(105,1)}
        77:{1,2,4,5,7}:{(47,1),(48,1),(49,1),(52,1),(101,1),(104,1),(105,1),(106,1),(148,1)}
        78:{1,3,5,7}:{(49,1),(50,1),(102,1),(105,1),(106,1)}
        79:{1,2,4,6,7}:{(51,1),(104,1),(107,1),(137,1),(148,1)}
        80:{3,6,7}:{(52,1),(105,1),(139,1)}
        81:{1,4,5,6}:{(53,1),(54,1),(57,1),(91,1),(147,1)}
        82:{2,4,5,6}:{(53,1),(58,1),(92,1),(108,1),(169,1)}
        83:{1,2,5,6}:{(54,1),(55,1),(59,1),(110,1),(141,1)}
        84:{2,3,6}:{(55,1),(56,1),(139,1)}
        85:{2,3,4,7}:{(56,1),(95,1),(111,1),(114,1),(144,1)}
        86:{2,3,5,7}:{(58,1),(61,1),(108,1),(112,1),(113,1)}
        87:{1,2,4,5,7}:{(57,1),(58,1),(59,1),(62,1),(109,1),(112,1),(113,1),(114,1),(152,1)}
        88:{2,3,5,7}:{(59,1),(60,1),(110,1),(113,1),(114,1)}
        89:{1,2,4,6,7}:{(61,1),(112,1),(115,1),(138,1),(152,1)}
        90:{3,6,7}:{(62,1),(113,1),(139,1)}
        91:{1,4,6}:{(63,1),(64,1),(67,1)}
        92:{2,4,6}:{(63,1),(65,1),(68,1)}
        93:{1,2,5,6}:{(64,1),(65,1),(69,1),(118,1)}
        94:{1,2,3,6}:{(66,1),(74,1),(84,1),(120,1)}
        95:{1,2,4,7}:{(66,1),(75,1),(85,1),(120,1)}
        96:{1,3,4,5,7}:{(67,1),(76,1),(116,1),(121,1),(123,1),(130,1),(159,1),(161,1),(173,1)}
        97:{2,3,4,5,7}:{(68,1),(86,1),(117,1),(122,1),(123,1),(136,1),(158,1),(163,1),(172,1)}
        98:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(118,1),(123,1),(124,1),(156,1)}
        99:{1,2,3,5,7}:{(69,1),(70,1),(78,1),(88,1),(119,1),(123,1),(124,1),(129,1),(135,1)}
       100:{1,3,5,6}:{(71,1),(76,1),(116,1),(125,1),(126,1),(173,1)}
       101:{1,2,4,5,6}:{(71,1),(72,1),(73,1),(77,1),(118,1),(125,1),(126,1),(127,1),(156,1),(160,1)}
       102:{1,3,5,6}:{(73,1),(74,1),(78,1),(126,1),(127,1),(128,1)}
       103:{1,3,4,6}:{(74,1),(75,1),(120,1),(127,1),(128,1),(155,1)}
       104:{1,2,5,7}:{(76,1),(79,1),(125,1),(129,1)}
       105:{3,5,7}:{(77,1),(80,1),(126,1),(130,1)}
       106:{1,4,7}:{(78,1),(127,1),(130,1)}
       107:{2,3,6,7}:{(79,1),(80,1),(129,1),(153,1)}
       108:{2,3,5,6}:{(82,1),(86,1),(117,1),(131,1),(132,1),(172,1)}
       109:{1,2,4,5,6}:{(81,1),(82,1),(83,1),(87,1),(118,1),(131,1),(132,1),(133,1),(156,1),(162,1)}
       110:{2,3,5,6}:{(83,1),(84,1),(88,1),(132,1),(133,1),(134,1)}
       111:{2,3,4,6}:{(84,1),(85,1),(120,1),(133,1),(134,1),(155,1)}
       112:{1,2,5,7}:{(86,1),(89,1),(131,1),(135,1)}
       113:{3,5,7}:{(87,1),(90,1),(132,1),(136,1)}
       114:{2,4,7}:{(88,1),(133,1),(136,1)}
       115:{1,3,6,7}:{(89,1),(90,1),(135,1),(154,1)}
       116:{1,3,4,6}:{(91,1),(96,1),(100,1),(137,1),(139,1),(146,1)}
       117:{2,3,4,6}:{(92,1),(97,1),(108,1),(138,1),(139,1),(150,1)}
       118:{1,2,4,6}:{(91,1),(92,1),(93,1),(98,1),(139,1)}
       119:{1,2,3,5,6}:{(93,1),(94,1),(99,1),(102,1),(110,1),(139,1),(140,1),(141,1),(145,1),(149,1),(164,1),(167,1),(174,1)}
       120:{1,2,4,6}:{(94,1),(95,1),(103,1),(111,1),(141,1)}
       121:{1,2,4,5,7}:{(96,1),(104,1),(137,1),(142,1),(148,1),(168,1),(169,1),(174,1)}
       122:{1,2,4,5,7}:{(97,1),(112,1),(138,1),(143,1),(152,1),(168,1),(170,1),(174,1)}
       123:{3,5,7}:{(98,1),(139,1),(144,1),(167,1)}
       124:{1,2,4,7}:{(99,1),(106,1),(114,1),(140,1),(144,1),(148,1),(152,1)}
       125:{1,2,5,6}:{(100,1),(104,1),(137,1),(145,1),(174,1)}
       126:{3,5,6}:{(101,1),(105,1),(139,1),(146,1),(167,1)}
       127:{1,4,6}:{(102,1),(106,1),(146,1),(147,1)}
       128:{1,3,5}:{(103,1),(141,1),(147,1),(167,1)}
       129:{2,3,5,7}:{(104,1),(105,1),(107,1),(145,1),(148,1)}
       130:{3,4,7}:{(105,1),(106,1),(146,1),(148,1)}
       131:{1,2,5,6}:{(108,1),(112,1),(138,1),(149,1),(174,1)}
       132:{3,5,6}:{(109,1),(113,1),(139,1),(150,1),(167,1)}
       133:{2,4,6}:{(110,1),(114,1),(150,1),(151,1)}
       134:{2,3,5}:{(111,1),(141,1),(151,1),(167,1)}
       135:{1,3,5,7}:{(112,1),(113,1),(115,1),(149,1),(152,1)}
       136:{3,4,7}:{(113,1),(114,1),(150,1),(152,1)}
       137:{1,2,4,6}:{(116,1),(121,1),(125,1),(153,1),(160,1)}
       138:{1,2,4,6}:{(117,1),(122,1),(131,1),(154,1),(162,1)}
       139:{3,6}:{(118,1),(123,1)}
       140:{1,2,4,6}:{(119,1),(124,1),(127,1),(133,1),(155,1),(156,1),(160,1),(162,1)}
       141:{1,2,5}:{(120,1),(128,1),(134,1)}
       142:{2,3,5,7}:{(121,1),(123,1),(153,1),(158,1),(172,1)}
       143:{1,3,5,7}:{(122,1),(123,1),(154,1),(159,1),(173,1)}
       144:{3,4,7}:{(123,1),(124,1),(155,1)}
       145:{2,3,5,6}:{(125,1),(126,1),(129,1),(153,1),(160,1),(172,1)}
       146:{3,4,6}:{(126,1),(127,1),(130,1),(160,1),(161,1)}
       147:{1,4,5}:{(127,1),(128,1),(161,1)}
       148:{2,4,7}:{(129,1),(130,1),(160,1)}
       149:{1,3,5,6}:{(131,1),(132,1),(135,1),(154,1),(162,1),(173,1)}
       150:{3,4,6}:{(132,1),(133,1),(136,1),(162,1),(163,1)}
       151:{2,4,5}:{(133,1),(134,1),(163,1)}
       152:{1,4,7}:{(135,1),(136,1),(162,1)}
       153:{2,3,6}:{(137,1),(139,1),(142,1)}
       154:{1,3,6}:{(138,1),(139,1),(143,1)}
       155:{3,4,6}:{(139,1),(140,1),(144,1),(167,1)}
       156:{1,2,4,5}:{(140,1),(141,1),(147,1),(151,1),(167,1),(169,1),(170,1),(174,1)}
       157:{1,2,3,5,7}:{(142,1),(143,1),(164,1),(168,1),(174,1)}
       158:{2,3,4,7}:{(142,1),(144,1),(148,1),(165,1),(168,1)}
       159:{1,3,4,7}:{(143,1),(144,1),(152,1),(166,1),(168,1)}
       160:{2,4,6}:{(145,1),(146,1),(148,1),(169,1)}
       161:{3,4,5}:{(146,1),(147,1),(167,1),(169,1)}
       162:{1,4,6}:{(149,1),(150,1),(152,1),(170,1)}
       163:{3,4,5}:{(150,1),(151,1),(167,1),(170,1)}
       164:{1,2,3,6}:{(153,1),(154,1),(157,1),(171,1)}
       165:{2,3,4,6}:{(153,1),(155,1),(158,1),(160,1),(171,1),(172,1)}
       166:{1,3,4,6}:{(154,1),(155,1),(159,1),(162,1),(171,1),(173,1)}
       167:{3,5}:{(155,1),(156,1)}
       168:{1,2,4,7}:{(157,1),(158,1),(159,1),(171,1)}
       169:{2,4,5}:{(160,1),(161,1),(172,1)}
       170:{1,4,5}:{(162,1),(163,1),(173,1)}
       171:{1,2,4,6}:{(164,1),(165,1),(166,1),(168,1),(174,1)}
       172:{2,3,5}:{(165,1),(167,1),(169,1),(174,1)}
       173:{1,3,5}:{(166,1),(167,1),(170,1),(174,1)}
       174:{1,2,5}:{(171,1),(172,1),(173,1)}

2005 :  0:{2,3,4,5,7}:{(3,1),(4,1),(18,1),(35,1),(67,1)}
        1:{1,3,4,5,7}:{(3,1),(5,1),(20,1),(35,1),(67,1)}
        2:{1,2,3,4,7}:{(6,1),(7,1),(52,1),(83,1)}
        3:{1,2,4,5,7}:{(0,1),(1,1),(7,1),(8,1),(23,1),(27,1),(52,1)}
        4:{2,3,4,6}:{(0,1),(8,1),(9,1),(51,1)}
        5:{1,3,4,6}:{(1,1),(8,1),(11,1),(51,1)}
        6:{1,2,3,4,6}:{(2,1),(13,1),(14,1),(36,1),(63,1),(81,1)}
        7:{1,2,3,5,7}:{(2,1),(3,1),(13,1),(14,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(5,1),(14,1),(15,1)}
        9:{2,3,5,6}:{(4,1),(15,1),(17,1),(18,1),(38,1)}
       10:{2,3,4,6,7}:{(4,1),(16,1),(18,1),(33,1),(60,1),(67,1)}
       11:{1,3,5,6}:{(5,1),(15,1),(19,1),(20,1),(38,1)}
       12:{1,3,4,6,7}:{(5,1),(16,1),(20,1),(34,1),(60,1),(67,1)}
       13:{1,2,3,5}:{(6,1),(23,1)}
       14:{1,2,3,6}:{(7,1),(8,1)}
       15:{1,2,5,6}:{(8,1),(9,1),(11,1),(27,1)}
       16:{1,2,4,6,7}:{(8,1),(10,1),(12,1),(25,1),(27,1),(52,1)}
       17:{2,4,5,6}:{(9,1),(28,1),(29,1)}
       18:{2,3,5,7}:{(9,1),(10,1),(27,1),(29,1),(55,1)}
       19:{1,4,5,6}:{(11,1),(30,1),(31,1)}
       20:{1,3,5,7}:{(11,1),(12,1),(27,1),(31,1),(55,1)}
       21:{2,3,5,6,7}:{(18,1),(32,1),(33,1),(58,1),(60,1)}
       22:{1,3,5,6,7}:{(20,1),(32,1),(34,1),(59,1),(60,1)}
       23:{1,2,4,5}:{(13,1),(35,1),(36,1)}
       24:{1,2,3,5,6}:{(13,1),(14,1),(15,1),(36,1),(37,1),(38,1),(68,1),(81,1)}
       25:{1,2,3,6,7}:{(14,1),(16,1),(37,1),(60,1),(80,1)}
       26:{1,2,4,5,6}:{(15,1),(17,1),(19,1),(36,1),(38,1),(39,1),(40,1),(42,1),(68,1)}
       27:{1,2,5,7}:{(15,1),(16,1),(18,1),(20,1)}
       28:{3,4,5,6}:{(17,1),(38,1),(40,1),(41,1)}
       29:{2,4,5,7}:{(17,1),(18,1),(33,1),(41,1)}
       30:{3,4,5,6}:{(19,1),(38,1),(42,1),(43,1)}
       31:{1,4,5,7}:{(19,1),(20,1),(34,1),(43,1)}
       32:{1,2,5,6,7}:{(21,1),(22,1),(27,1),(46,1),(71,1),(72,1)}
       33:{2,4,6,7}:{(21,1),(29,1),(47,1)}
       34:{1,4,6,7}:{(22,1),(31,1),(48,1)}
       35:{3,4,5}:{(23,1),(51,1)}
       36:{1,2,4,6}:{(23,1),(24,1),(51,1),(52,1)}
       37:{1,2,3,5,7}:{(24,1),(25,1),(27,1),(52,1),(55,1),(79,1),(83,1)}
       38:{3,5,6}:{(26,1),(51,1),(55,1)}
       39:{1,2,4,5,7}:{(26,1),(27,1),(29,1),(31,1),(46,1),(52,1),(55,1),(56,1),(57,1),(79,1)}
       40:{1,4,5,6}:{(28,1),(54,1),(56,1)}
       41:{3,4,5,7}:{(28,1),(29,1),(47,1),(55,1),(56,1)}
       42:{2,4,5,6}:{(30,1),(53,1),(57,1)}
       43:{3,4,5,7}:{(30,1),(31,1),(48,1),(55,1),(57,1)}
       44:{2,4,5,6,7}:{(33,1),(58,1)}
       45:{1,4,5,6,7}:{(34,1),(59,1)}
       46:{1,2,4,6,7}:{(32,1),(33,1),(34,1),(39,1),(60,1),(61,1),(62,1),(80,1)}
       47:{3,4,6,7}:{(33,1),(41,1),(58,1),(60,1),(61,1)}
       48:{3,4,6,7}:{(34,1),(43,1),(59,1),(60,1),(62,1)}
       49:{2,3,4,5}:{(35,1),(64,1),(65,1)}
       50:{1,3,4,5}:{(35,1),(64,1),(66,1)}
       51:{3,4,6}:{(35,1),(36,1),(38,1),(67,1)}
       52:{1,2,4,7}:{(36,1),(37,1),(67,1)}
       53:{2,3,5,6}:{(38,1),(42,1),(65,1),(68,1),(69,1)}
       54:{1,3,5,6}:{(38,1),(40,1),(66,1),(68,1),(70,1)}
       55:{3,5,7}:{(38,1),(39,1),(60,1),(67,1)}
       56:{1,4,5,7}:{(40,1),(41,1),(61,1),(70,1)}
       57:{2,4,5,7}:{(42,1),(43,1),(62,1),(69,1)}
       58:{3,5,6,7}:{(44,1),(47,1),(71,1)}
       59:{3,5,6,7}:{(45,1),(48,1),(72,1)}
       60:{3,6,7}:{(46,1),(55,1)}
       61:{1,4,6,7}:{(47,1),(56,1),(71,1),(74,1)}
       62:{2,4,6,7}:{(48,1),(57,1),(72,1),(73,1)}
       63:{1,2,3,4}:{(75,1)}
       64:{1,2,4,5}:{(49,1),(50,1),(75,1),(76,1)}
       65:{2,3,4,6}:{(49,1),(51,1),(53,1),(76,1),(77,1)}
       66:{1,3,4,6}:{(50,1),(51,1),(54,1),(76,1),(78,1)}
       67:{3,4,7}:{(51,1),(52,1),(55,1)}
       68:{1,2,5,6}:{(53,1),(54,1),(76,1),(79,1)}
       69:{2,3,5,7}:{(53,1),(55,1),(57,1),(73,1),(77,1),(79,1)}
       70:{1,3,5,7}:{(54,1),(55,1),(56,1),(74,1),(78,1),(79,1)}
       71:{1,5,6,7}:{(58,1),(61,1)}
       72:{2,5,6,7}:{(59,1),(62,1)}
       73:{2,3,6,7}:{(60,1),(62,1),(69,1),(80,1)}
       74:{1,3,6,7}:{(60,1),(61,1),(70,1),(80,1)}
       75:{1,2,3,5}:{(63,1),(64,1),(81,1)}
       76:{1,2,4,6}:{(64,1),(65,1),(66,1),(68,1),(81,1),(82,1)}
       77:{2,3,4,7}:{(65,1),(67,1),(69,1),(82,1)}
       78:{1,3,4,7}:{(66,1),(67,1),(70,1),(82,1)}
       79:{1,2,5,7}:{(68,1),(69,1),(70,1),(80,1),(82,1)}
       80:{1,2,6,7}:{(73,1),(74,1),(79,1)}
       81:{1,2,3,6}:{(75,1),(76,1),(83,1)}
       82:{1,2,4,7}:{(76,1),(77,1),(78,1),(79,1),(83,1)}
       83:{1,2,3,7}:{(81,1),(82,1)}

2006 :   0:{1,3,4,5,7}:{(4,1),(5,1),(27,1),(42,1),(93,1),(135,1),(140,1),(149,1),(184,1),(186,1)}
         1:{2,3,4,5,7}:{(6,1),(7,1),(30,1),(37,1),(89,1),(136,1),(139,1),(151,1),(184,1),(188,1)}
         2:{1,4,5,6,7}:{(8,1),(43,1),(157,1)}
         3:{2,4,5,6,7}:{(9,1),(47,1),(154,1)}
         4:{1,3,4,6}:{(0,1),(13,1),(14,1),(119,1),(168,1),(201,1),(202,1)}
         5:{1,2,4,5,7}:{(0,1),(14,1),(15,1),(51,1),(58,1),(106,1),(117,1),(120,1)}
         6:{2,3,4,6}:{(1,1),(17,1),(18,1),(122,1),(165,1),(201,1),(203,1)}
         7:{1,2,4,5,7}:{(1,1),(18,1),(19,1),(55,1),(58,1),(110,1),(117,1),(123,1)}
         8:{3,5,6,7}:{(2,1),(20,1),(22,1),(180,1)}
         9:{3,5,6,7}:{(3,1),(23,1),(24,1),(178,1)}
        10:{1,3,4,6,7}:{(4,1),(27,1),(28,1),(43,1),(95,1),(135,1),(152,1)}
        11:{2,3,4,6,7}:{(6,1),(30,1),(31,1),(47,1),(98,1),(139,1),(155,1)}
        12:{3,4,5,6}:{(26,1),(33,1),(34,1),(87,1),(151,1),(189,1)}
        13:{1,3,5,6}:{(4,1),(27,1),(33,1),(35,1),(87,1),(93,1),(196,1)}
        14:{1,2,4,6}:{(4,1),(5,1),(35,1),(36,1),(88,1)}
        15:{2,3,5,7}:{(5,1),(36,1),(37,1),(89,1),(184,1)}
        16:{3,4,5,6}:{(29,1),(38,1),(39,1),(91,1),(149,1),(187,1)}
        17:{2,3,5,6}:{(6,1),(30,1),(39,1),(40,1),(89,1),(91,1),(197,1)}
        18:{1,2,4,6}:{(6,1),(7,1),(40,1),(41,1),(92,1)}
        19:{1,3,5,7}:{(7,1),(41,1),(42,1),(93,1),(184,1)}
        20:{3,4,6,7}:{(8,1),(26,1),(43,1),(44,1),(95,1),(189,1)}
        21:{1,3,5,6,7}:{(8,1),(27,1),(43,1),(45,1),(95,1),(141,1)}
        22:{2,5,6,7}:{(8,1),(44,1),(197,1)}
        23:{3,4,6,7}:{(9,1),(29,1),(46,1),(47,1),(98,1),(187,1)}
        24:{1,5,6,7}:{(9,1),(46,1),(196,1)}
        25:{2,3,5,6,7}:{(9,1),(30,1),(47,1),(48,1),(98,1),(137,1)}
        26:{3,4,5,7}:{(12,1),(20,1),(49,1),(50,1),(105,1)}
        27:{1,3,5,7}:{(10,1),(13,1),(49,1),(51,1),(105,1),(177,1)}
        28:{1,2,4,6,7}:{(10,1),(14,1),(51,1),(52,1),(106,1)}
        29:{3,4,5,7}:{(16,1),(23,1),(53,1),(54,1),(109,1)}
        30:{2,3,5,7}:{(11,1),(17,1),(54,1),(55,1),(109,1),(179,1)}
        31:{1,2,4,6,7}:{(11,1),(18,1),(55,1),(56,1),(110,1)}
        32:{1,2,3,5,7}:{(15,1),(19,1),(57,1),(58,1),(117,1)}
        33:{1,4,5,6}:{(12,1),(13,1),(49,1),(123,1),(168,1)}
        34:{2,4,5,6}:{(12,1),(50,1),(59,1),(176,1),(203,1)}
        35:{1,2,5,6}:{(13,1),(14,1),(51,1),(61,1),(117,1)}
        36:{2,3,6}:{(14,1),(15,1),(201,1)}
        37:{2,3,4,7}:{(15,1),(58,1),(62,1),(106,1),(160,1)}
        38:{1,4,5,6}:{(16,1),(53,1),(63,1),(175,1),(202,1)}
        39:{2,4,5,6}:{(16,1),(17,1),(54,1),(120,1),(165,1)}
        40:{1,2,5,6}:{(17,1),(18,1),(55,1),(65,1),(117,1)}
        41:{1,3,6}:{(18,1),(19,1),(201,1)}
        42:{1,3,4,7}:{(19,1),(58,1),(66,1),(110,1),(160,1)}
        43:{1,4,6,7}:{(20,1),(21,1),(49,1),(168,1)}
        44:{2,4,6,7}:{(20,1),(22,1),(50,1),(67,1),(203,1)}
        45:{1,2,5,6,7}:{(21,1),(22,1),(51,1),(68,1),(69,1),(162,1),(177,1)}
        46:{1,4,6,7}:{(23,1),(24,1),(53,1),(70,1),(202,1)}
        47:{2,4,6,7}:{(23,1),(25,1),(54,1),(165,1)}
        48:{1,2,5,6,7}:{(24,1),(25,1),(55,1),(71,1),(72,1),(162,1),(179,1)}
        49:{1,4,5,7}:{(26,1),(27,1),(33,1),(43,1)}
        50:{2,4,5,7}:{(26,1),(34,1),(44,1),(74,1)}
        51:{1,2,5,7}:{(27,1),(28,1),(35,1),(76,1)}
        52:{2,3,6,7}:{(28,1),(36,1),(76,1),(95,1)}
        53:{1,4,5,7}:{(29,1),(38,1),(46,1),(78,1)}
        54:{2,4,5,7}:{(29,1),(30,1),(39,1),(47,1)}
        55:{1,2,5,7}:{(30,1),(31,1),(40,1),(80,1)}
        56:{1,3,6,7}:{(31,1),(41,1),(80,1),(98,1)}
        57:{1,2,3,6}:{(32,1),(36,1),(41,1),(85,1)}
        58:{1,2,4,7}:{(32,1),(37,1),(42,1),(85,1)}
        59:{2,3,5,6}:{(34,1),(74,1),(83,1),(86,1),(87,1),(194,1),(207,1)}
        60:{1,2,4,5,6}:{(33,1),(34,1),(35,1),(75,1),(86,1),(87,1),(88,1),(147,1),(148,1),(154,1),(185,1),(196,1)}
        61:{2,3,5,6}:{(35,1),(36,1),(76,1),(87,1),(88,1),(89,1)}
        62:{2,3,4,6}:{(36,1),(37,1),(85,1),(88,1),(89,1),(146,1)}
        63:{1,3,5,6}:{(38,1),(78,1),(82,1),(90,1),(91,1),(195,1),(208,1)}
        64:{1,2,4,5,6}:{(38,1),(39,1),(40,1),(79,1),(90,1),(91,1),(92,1),(147,1),(150,1),(157,1),(185,1),(197,1)}
        65:{1,3,5,6}:{(40,1),(41,1),(80,1),(91,1),(92,1),(93,1)}
        66:{1,3,4,6}:{(41,1),(42,1),(85,1),(92,1),(93,1),(146,1)}
        67:{2,3,6,7}:{(44,1),(74,1),(94,1),(95,1),(207,1)}
        68:{1,2,4,6,7}:{(43,1),(44,1),(45,1),(75,1),(94,1),(95,1),(96,1),(152,1),(185,1)}
        69:{2,3,5,6,7}:{(45,1),(76,1),(95,1),(96,1),(137,1),(153,1)}
        70:{1,3,6,7}:{(46,1),(78,1),(97,1),(98,1),(208,1)}
        71:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(79,1),(97,1),(98,1),(99,1),(155,1),(185,1)}
        72:{1,3,5,6,7}:{(48,1),(80,1),(98,1),(99,1),(141,1),(156,1)}
        73:{1,2,3,6,7}:{(52,1),(56,1),(57,1),(102,1),(103,1),(124,1),(127,1),(201,1),(209,1)}
        74:{2,3,5,7}:{(50,1),(59,1),(67,1),(101,1),(104,1),(105,1)}
        75:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(60,1),(68,1),(104,1),(105,1),(106,1),(126,1),(163,1),(177,1)}
        76:{2,3,5,7}:{(51,1),(52,1),(61,1),(105,1),(106,1)}
        77:{2,3,4,6,7}:{(52,1),(62,1),(103,1),(106,1),(107,1),(125,1),(160,1),(165,1),(201,1)}
        78:{1,3,5,7}:{(53,1),(63,1),(70,1),(100,1),(108,1),(109,1)}
        79:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(64,1),(71,1),(108,1),(109,1),(110,1),(129,1),(166,1),(179,1)}
        80:{1,3,5,7}:{(55,1),(56,1),(65,1),(109,1),(110,1)}
        81:{1,3,4,6,7}:{(56,1),(66,1),(103,1),(110,1),(111,1),(128,1),(160,1),(168,1),(201,1)}
        82:{1,3,4,6}:{(63,1),(100,1),(112,1),(114,1),(122,1)}
        83:{2,3,4,6}:{(59,1),(101,1),(113,1),(115,1),(119,1)}
        84:{1,2,3,5,6}:{(57,1),(61,1),(65,1),(102,1),(116,1),(117,1),(118,1),(121,1),(162,1),(171,1),(174,1),(201,1),(205,1),(209,1)}
        85:{1,2,4,6}:{(57,1),(58,1),(62,1),(66,1),(117,1)}
        86:{1,2,5,6}:{(59,1),(104,1),(115,1),(118,1),(205,1),(209,1)}
        87:{3,5,6}:{(60,1),(105,1),(119,1),(174,1),(201,1)}
        88:{2,4,6}:{(61,1),(106,1),(119,1),(120,1)}
        89:{2,3,5}:{(62,1),(117,1),(120,1),(174,1)}
        90:{1,2,5,6}:{(63,1),(108,1),(114,1),(121,1),(205,1),(209,1)}
        91:{3,5,6}:{(64,1),(109,1),(122,1),(174,1),(201,1)}
        92:{1,4,6}:{(65,1),(110,1),(122,1),(123,1)}
        93:{1,3,5}:{(66,1),(117,1),(123,1),(174,1)}
        94:{1,2,6,7}:{(67,1),(104,1),(124,1),(209,1)}
        95:{3,6,7}:{(68,1),(105,1),(201,1)}
        96:{2,4,6,7}:{(69,1),(106,1),(125,1),(126,1),(165,1)}
        97:{1,2,6,7}:{(70,1),(108,1),(127,1),(209,1)}
        98:{3,6,7}:{(71,1),(109,1),(201,1)}
        99:{1,4,6,7}:{(72,1),(110,1),(128,1),(129,1),(168,1)}
       100:{1,3,4,7}:{(78,1),(82,1),(130,1),(139,1)}
       101:{2,3,4,7}:{(74,1),(83,1),(131,1),(135,1)}
       102:{1,2,3,5,7}:{(73,1),(76,1),(80,1),(84,1),(132,1),(133,1),(134,1),(138,1),(181,1),(184,1),(206,1)}
       103:{1,2,4,6,7}:{(73,1),(77,1),(81,1),(85,1),(132,1),(133,1),(152,1),(155,1),(185,1)}
       104:{1,2,5,7}:{(74,1),(86,1),(94,1),(131,1),(134,1)}
       105:{3,5,7}:{(75,1),(87,1),(95,1),(135,1)}
       106:{2,4,7}:{(76,1),(88,1),(135,1)}
       107:{2,3,5,7}:{(77,1),(89,1),(133,1),(136,1),(137,1),(153,1),(184,1)}
       108:{1,2,5,7}:{(78,1),(90,1),(97,1),(130,1),(138,1)}
       109:{3,5,7}:{(79,1),(91,1),(98,1),(139,1)}
       110:{1,4,7}:{(80,1),(92,1),(139,1)}
       111:{1,3,5,7}:{(81,1),(93,1),(133,1),(140,1),(141,1),(156,1),(184,1)}
       112:{1,3,4,5}:{(82,1),(142,1),(151,1),(192,1),(195,1)}
       113:{2,3,4,5}:{(83,1),(143,1),(149,1),(191,1),(194,1)}
       114:{1,2,4,6}:{(82,1),(90,1),(130,1),(142,1),(144,1),(150,1)}
       115:{1,2,4,6}:{(83,1),(86,1),(131,1),(143,1),(145,1),(148,1)}
       116:{1,2,4,6}:{(84,1),(88,1),(92,1),(132,1),(146,1),(147,1),(148,1),(150,1)}
       117:{1,2,5}:{(85,1),(89,1),(93,1)}
       118:{1,3,5,6}:{(86,1),(87,1),(134,1),(145,1),(148,1),(195,1),(196,1),(208,1)}
       119:{3,4,6}:{(87,1),(88,1),(135,1),(148,1),(149,1)}
       120:{2,4,5}:{(88,1),(89,1),(149,1)}
       121:{2,3,5,6}:{(90,1),(91,1),(138,1),(144,1),(150,1),(194,1),(197,1),(207,1)}
       122:{3,4,6}:{(91,1),(92,1),(139,1),(150,1),(151,1)}
       123:{1,4,5}:{(92,1),(93,1),(151,1)}
       124:{1,3,6,7}:{(94,1),(95,1),(134,1),(152,1),(208,1)}
       125:{3,4,6,7}:{(95,1),(96,1),(135,1),(152,1),(153,1),(187,1)}
       126:{2,4,5,7}:{(96,1),(153,1),(154,1)}
       127:{2,3,6,7}:{(97,1),(98,1),(138,1),(155,1),(207,1)}
       128:{3,4,6,7}:{(98,1),(99,1),(139,1),(155,1),(156,1),(189,1)}
       129:{1,4,5,7}:{(99,1),(156,1),(157,1)}
       130:{1,2,4,7}:{(100,1),(108,1),(114,1),(158,1),(166,1)}
       131:{1,2,4,7}:{(101,1),(104,1),(115,1),(159,1),(163,1)}
       132:{1,2,4,7}:{(102,1),(106,1),(110,1),(116,1),(160,1),(163,1),(166,1)}
       133:{1,2,5,7}:{(103,1),(107,1),(111,1),(117,1),(162,1),(177,1),(179,1)}
       134:{1,3,5,7}:{(104,1),(105,1),(118,1),(124,1),(159,1),(163,1),(177,1)}
       135:{3,4,7}:{(105,1),(106,1),(119,1),(163,1)}
       136:{2,4,5,7}:{(106,1),(107,1),(120,1),(164,1),(165,1)}
       137:{2,3,5,6}:{(107,1),(162,1),(165,1),(178,1),(201,1)}
       138:{2,3,5,7}:{(108,1),(109,1),(121,1),(127,1),(158,1),(166,1),(179,1)}
       139:{3,4,7}:{(109,1),(110,1),(122,1),(166,1)}
       140:{1,4,5,7}:{(110,1),(111,1),(123,1),(167,1),(168,1)}
       141:{1,3,5,6}:{(111,1),(162,1),(168,1),(180,1),(201,1)}
       142:{1,2,4,5}:{(112,1),(114,1),(169,1),(176,1),(204,1),(205,1)}
       143:{1,2,4,5}:{(113,1),(115,1),(170,1),(175,1),(204,1),(205,1)}
       144:{2,3,6}:{(114,1),(158,1),(169,1)}
       145:{1,3,6}:{(115,1),(159,1),(170,1)}
       146:{3,4,6}:{(116,1),(160,1),(174,1),(201,1)}
       147:{1,2,4,5}:{(116,1),(117,1),(120,1),(123,1),(174,1),(175,1),(176,1),(205,1)}
       148:{1,4,6}:{(118,1),(119,1),(163,1),(175,1)}
       149:{3,4,5}:{(119,1),(120,1),(174,1),(175,1)}
       150:{2,4,6}:{(121,1),(122,1),(166,1),(176,1)}
       151:{3,4,5}:{(122,1),(123,1),(174,1),(176,1)}
       152:{1,4,6,7}:{(124,1),(125,1),(163,1),(177,1),(202,1)}
       153:{3,5,7}:{(125,1),(126,1),(177,1),(178,1)}
       154:{2,4,5,6}:{(126,1),(165,1),(178,1)}
       155:{2,4,6,7}:{(127,1),(128,1),(166,1),(179,1),(203,1)}
       156:{3,5,7}:{(128,1),(129,1),(179,1),(180,1)}
       157:{1,4,5,6}:{(129,1),(168,1),(180,1)}
       158:{2,3,7}:{(130,1),(144,1)}
       159:{1,3,7}:{(131,1),(145,1)}
       160:{3,4,7}:{(132,1),(146,1),(184,1)}
       161:{1,2,4,5,7}:{(132,1),(133,1),(136,1),(140,1),(147,1),(184,1),(185,1),(186,1),(188,1),(206,1)}
       162:{1,2,5,6}:{(133,1),(137,1),(141,1),(185,1),(196,1),(197,1)}
       163:{1,4,7}:{(134,1),(135,1),(148,1)}
       164:{3,4,5,7}:{(135,1),(136,1),(149,1),(153,1),(184,1),(186,1),(187,1)}
       165:{2,4,6}:{(136,1),(137,1),(187,1)}
       166:{2,4,7}:{(138,1),(139,1),(150,1)}
       167:{3,4,5,7}:{(139,1),(140,1),(151,1),(156,1),(184,1),(188,1),(189,1)}
       168:{1,4,6}:{(140,1),(141,1),(189,1)}
       169:{2,3,5}:{(142,1),(144,1),(191,1)}
       170:{1,3,5}:{(143,1),(145,1),(192,1)}
       171:{1,2,3,6}:{(144,1),(145,1),(181,1),(190,1),(193,1)}
       172:{2,3,4,6}:{(144,1),(146,1),(150,1),(182,1),(191,1),(193,1),(194,1),(207,1)}
       173:{1,3,4,6}:{(145,1),(146,1),(148,1),(183,1),(192,1),(193,1),(195,1),(208,1)}
       174:{3,5}:{(146,1),(147,1)}
       175:{1,4,5}:{(148,1),(149,1),(195,1)}
       176:{2,4,5}:{(150,1),(151,1),(194,1)}
       177:{1,5,7}:{(152,1),(153,1),(196,1)}
       178:{3,5,6}:{(153,1),(154,1),(187,1),(196,1)}
       179:{2,5,7}:{(155,1),(156,1),(197,1)}
       180:{3,5,6}:{(156,1),(157,1),(189,1),(197,1)}
       181:{1,2,3,7}:{(158,1),(159,1),(171,1),(198,1)}
       182:{2,3,4,7}:{(158,1),(160,1),(166,1),(172,1),(198,1),(199,1)}
       183:{1,3,4,7}:{(159,1),(160,1),(163,1),(173,1),(198,1),(200,1)}
       184:{3,5,7}:{(160,1),(161,1),(174,1),(201,1)}
       185:{1,2,4,6}:{(161,1),(162,1),(165,1),(168,1),(201,1),(202,1),(203,1),(209,1)}
       186:{1,4,5,7}:{(163,1),(164,1),(175,1),(177,1),(200,1),(202,1)}
       187:{3,4,6}:{(164,1),(165,1),(178,1),(201,1),(202,1)}
       188:{2,4,5,7}:{(166,1),(167,1),(176,1),(179,1),(199,1),(203,1)}
       189:{3,4,6}:{(167,1),(168,1),(180,1),(201,1),(203,1)}
       190:{1,2,3,5}:{(169,1),(170,1),(171,1),(204,1),(205,1)}
       191:{2,3,4}:{(169,1),(204,1)}
       192:{1,3,4}:{(170,1),(204,1)}
       193:{1,2,4,6}:{(171,1),(172,1),(173,1),(198,1),(204,1),(205,1),(209,1)}
       194:{2,3,5}:{(172,1),(174,1),(176,1),(205,1)}
       195:{1,3,5}:{(173,1),(174,1),(175,1),(205,1)}
       196:{1,5,6}:{(177,1),(178,1),(202,1)}
       197:{2,5,6}:{(179,1),(180,1),(203,1)}
       198:{1,2,4,7}:{(181,1),(182,1),(183,1),(193,1),(206,1)}
       199:{2,3,5,7}:{(182,1),(184,1),(188,1),(194,1),(206,1),(207,1)}
       200:{1,3,5,7}:{(183,1),(184,1),(186,1),(195,1),(206,1),(208,1)}
       201:{3,6}:{(184,1),(185,1)}
       202:{1,4,6}:{(186,1),(187,1),(196,1),(208,1)}
       203:{2,4,6}:{(188,1),(189,1),(197,1),(207,1)}
       204:{1,2,4}:{(190,1),(191,1),(192,1)}
       205:{1,2,5}:{(193,1),(194,1),(195,1)}
       206:{1,2,5,7}:{(198,1),(199,1),(200,1),(205,1),(209,1)}
       207:{2,3,6}:{(199,1),(201,1),(203,1),(209,1)}
       208:{1,3,6}:{(200,1),(201,1),(202,1),(209,1)}
       209:{1,2,6}:{(206,1),(207,1),(208,1)}

2007 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(34,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(43,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(33,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(8,1),(20,1),(38,1),(39,1),(43,1),(45,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(20,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(29,1),(30,1),(33,1)}
        8:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(14,1),(47,1),(48,1)}
        9:{3,4,6}:{(5,1),(6,1),(13,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(31,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(32,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(40,1),(41,1),(43,1)}
       13:{3,5,6}:{(7,1),(9,1),(20,1)}
       14:{3,4,6,7}:{(8,1),(9,1),(20,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(21,1),(25,1),(57,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(22,1),(25,1),(57,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(43,1),(58,1),(59,1)}
       18:{1,2,4,5,6,7}:{(12,1),(27,1),(47,1),(48,1),(49,1)}
       19:{3,4,5,6}:{(13,1),(28,1),(29,1),(30,1),(51,1)}
       20:{3,5,7}:{(12,1),(13,1),(14,1)}
       21:{1,3,5,6}:{(13,1),(15,1),(29,1),(31,1),(33,1),(51,1)}
       22:{2,3,5,6}:{(13,1),(16,1),(30,1),(32,1),(33,1),(51,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(31,1),(34,1),(47,1),(60,1),(61,1)}
       24:{2,3,4,6,7}:{(14,1),(16,1),(32,1),(34,1),(48,1),(60,1),(61,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(33,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,5,6,7}:{(18,1),(20,1),(37,1)}
       28:{3,4,5,7}:{(19,1),(20,1),(37,1),(40,1),(41,1),(56,1)}
       29:{1,4,5,6}:{(19,1),(21,1),(40,1)}
       30:{2,4,5,6}:{(19,1),(22,1),(41,1)}
       31:{1,3,5,7}:{(20,1),(21,1),(23,1),(40,1),(43,1),(56,1)}
       32:{2,3,5,7}:{(20,1),(22,1),(24,1),(41,1),(43,1),(56,1)}
       33:{1,2,5,6}:{(21,1),(22,1),(25,1),(43,1)}
       34:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(43,1),(45,1),(58,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(58,1)}
       37:{3,4,6,7}:{(27,1),(28,1),(47,1),(48,1),(60,1)}
       38:{1,3,5,6,7}:{(27,1),(31,1),(47,1),(49,1),(60,1)}
       39:{2,3,5,6,7}:{(27,1),(32,1),(48,1),(49,1),(60,1)}
       40:{1,4,5,7}:{(28,1),(29,1),(31,1),(47,1)}
       41:{2,4,5,7}:{(28,1),(30,1),(32,1),(48,1)}
       42:{1,2,4,5,6}:{(29,1),(30,1),(33,1),(50,1),(51,1),(53,1)}
       43:{1,2,5,7}:{(31,1),(32,1),(33,1),(34,1)}
       44:{1,2,3,5,6}:{(33,1),(35,1),(51,1),(52,1),(53,1),(54,1)}
       45:{1,2,3,6,7}:{(34,1),(35,1),(52,1),(60,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(40,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(41,1)}
       49:{1,2,5,6,7}:{(38,1),(39,1),(43,1),(55,1)}
       50:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(43,1),(55,1),(56,1),(58,1)}
       51:{3,5,6}:{(42,1),(56,1),(57,1)}
       52:{1,2,3,5,7}:{(43,1),(44,1),(45,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(44,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(50,1),(60,1)}
       56:{3,5,7}:{(50,1),(51,1),(60,1),(61,1)}
       57:{3,4,6}:{(51,1),(53,1),(61,1),(62,1)}
       58:{1,2,4,7}:{(52,1),(53,1),(61,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(57,1),(59,1)}

2008 :   0:{2,3,4,5,7}:{(2,1),(3,1),(20,1),(27,1),(76,1),(120,1),(123,1),(128,1),(171,1),(178,1)}
         1:{1,3,4,5,7}:{(4,1),(5,1),(21,1),(26,1),(68,1),(119,1),(129,1),(132,1),(171,1),(183,1)}
         2:{1,2,4,5,7}:{(0,1),(7,1),(8,1),(37,1),(40,1),(88,1),(91,1),(94,1)}
         3:{2,3,4,6}:{(0,1),(8,1),(9,1),(95,1),(158,1),(189,1),(195,1)}
         4:{1,2,4,5,7}:{(1,1),(11,1),(12,1),(37,1),(47,1),(88,1),(99,1),(102,1)}
         5:{1,3,4,6}:{(1,1),(12,1),(13,1),(103,1),(150,1),(189,1),(198,1)}
         6:{2,3,4,6,7}:{(3,1),(19,1),(20,1),(35,1),(84,1),(120,1),(142,1)}
         7:{1,3,5,7}:{(2,1),(21,1),(22,1),(68,1),(171,1)}
         8:{1,2,4,6}:{(2,1),(3,1),(22,1),(23,1),(69,1)}
         9:{2,3,5,6}:{(3,1),(20,1),(23,1),(24,1),(70,1),(76,1),(188,1)}
        10:{1,3,4,6,7}:{(5,1),(25,1),(26,1),(32,1),(81,1),(129,1),(138,1)}
        11:{2,3,5,7}:{(4,1),(27,1),(28,1),(76,1),(171,1)}
        12:{1,2,4,6}:{(4,1),(5,1),(28,1),(29,1),(77,1)}
        13:{1,3,5,6}:{(5,1),(26,1),(29,1),(30,1),(68,1),(78,1),(187,1)}
        14:{1,3,5,6,7}:{(26,1),(31,1),(32,1),(33,1),(81,1),(118,1)}
        15:{1,4,5,6,7}:{(32,1),(33,1),(140,1)}
        16:{2,3,5,6,7}:{(20,1),(34,1),(35,1),(36,1),(84,1),(127,1)}
        17:{2,4,5,6,7}:{(35,1),(36,1),(136,1)}
        18:{1,2,3,5,7}:{(7,1),(11,1),(37,1),(38,1),(88,1)}
        19:{1,2,4,6,7}:{(6,1),(8,1),(39,1),(40,1),(91,1)}
        20:{2,3,5,7}:{(6,1),(9,1),(40,1),(41,1),(92,1),(169,1)}
        21:{1,3,4,7}:{(7,1),(37,1),(42,1),(91,1),(146,1)}
        22:{1,3,6}:{(7,1),(8,1),(189,1)}
        23:{1,2,5,6}:{(8,1),(9,1),(40,1),(43,1),(88,1)}
        24:{2,4,5,6}:{(9,1),(41,1),(45,1),(102,1),(158,1)}
        25:{1,2,4,6,7}:{(10,1),(12,1),(46,1),(47,1),(99,1)}
        26:{1,3,5,7}:{(10,1),(13,1),(47,1),(48,1),(100,1),(167,1)}
        27:{2,3,4,7}:{(11,1),(37,1),(49,1),(99,1),(146,1)}
        28:{2,3,6}:{(11,1),(12,1),(189,1)}
        29:{1,2,5,6}:{(12,1),(13,1),(47,1),(50,1),(88,1)}
        30:{1,4,5,6}:{(13,1),(48,1),(52,1),(94,1),(150,1)}
        31:{1,2,5,6,7}:{(14,1),(47,1),(53,1),(54,1),(56,1),(144,1),(167,1)}
        32:{1,4,6,7}:{(14,1),(48,1),(55,1),(150,1)}
        33:{3,5,6,7}:{(15,1),(55,1),(56,1),(168,1)}
        34:{1,2,5,6,7}:{(16,1),(40,1),(57,1),(58,1),(60,1),(144,1),(169,1)}
        35:{2,4,6,7}:{(16,1),(41,1),(59,1),(158,1)}
        36:{3,5,6,7}:{(17,1),(59,1),(60,1),(166,1)}
        37:{1,2,4,7}:{(18,1),(21,1),(27,1),(62,1)}
        38:{1,2,3,6}:{(18,1),(22,1),(28,1),(62,1)}
        39:{1,3,6,7}:{(19,1),(22,1),(65,1),(84,1)}
        40:{1,2,5,7}:{(19,1),(20,1),(23,1),(65,1)}
        41:{2,4,5,7}:{(20,1),(24,1),(35,1),(67,1)}
        42:{1,3,4,6}:{(21,1),(22,1),(62,1),(68,1),(69,1),(117,1)}
        43:{1,3,5,6}:{(22,1),(23,1),(65,1),(68,1),(69,1),(70,1)}
        44:{1,2,4,5,6}:{(23,1),(24,1),(66,1),(69,1),(70,1),(71,1),(116,1),(125,1),(126,1),(140,1),(170,1),(188,1)}
        45:{3,4,5,6}:{(24,1),(67,1),(70,1),(71,1),(132,1),(182,1)}
        46:{2,3,6,7}:{(25,1),(28,1),(73,1),(81,1)}
        47:{1,2,5,7}:{(25,1),(26,1),(29,1),(73,1)}
        48:{1,4,5,7}:{(26,1),(30,1),(32,1),(75,1)}
        49:{2,3,4,6}:{(27,1),(28,1),(62,1),(76,1),(77,1),(117,1)}
        50:{2,3,5,6}:{(28,1),(29,1),(73,1),(76,1),(77,1),(78,1)}
        51:{1,2,4,5,6}:{(29,1),(30,1),(74,1),(77,1),(78,1),(79,1),(116,1),(133,1),(135,1),(136,1),(170,1),(187,1)}
        52:{3,4,5,6}:{(30,1),(75,1),(78,1),(79,1),(123,1),(177,1)}
        53:{2,3,5,6,7}:{(31,1),(73,1),(80,1),(81,1),(127,1),(137,1)}
        54:{1,2,4,6,7}:{(31,1),(32,1),(74,1),(80,1),(81,1),(82,1),(138,1),(139,1),(170,1)}
        55:{3,4,6,7}:{(32,1),(33,1),(75,1),(81,1),(82,1),(177,1)}
        56:{2,5,6,7}:{(33,1),(82,1),(188,1)}
        57:{1,3,5,6,7}:{(34,1),(65,1),(83,1),(84,1),(118,1),(141,1)}
        58:{1,2,4,6,7}:{(34,1),(35,1),(66,1),(83,1),(84,1),(85,1),(142,1),(143,1),(170,1)}
        59:{3,4,6,7}:{(35,1),(36,1),(67,1),(84,1),(85,1),(182,1)}
        60:{1,5,6,7}:{(36,1),(85,1),(187,1)}
        61:{1,2,3,6,7}:{(38,1),(39,1),(46,1),(86,1),(87,1),(108,1),(113,1),(189,1),(208,1)}
        62:{1,2,4,6}:{(37,1),(38,1),(42,1),(49,1),(88,1)}
        63:{1,2,3,5,6}:{(38,1),(43,1),(50,1),(87,1),(88,1),(89,1),(97,1),(104,1),(144,1),(147,1),(189,1),(193,1),(194,1),(208,1)}
        64:{1,3,4,6,7}:{(39,1),(42,1),(86,1),(90,1),(91,1),(111,1),(146,1),(150,1),(189,1)}
        65:{1,3,5,7}:{(39,1),(40,1),(43,1),(91,1),(92,1)}
        66:{1,2,4,5,7}:{(40,1),(41,1),(44,1),(58,1),(91,1),(92,1),(93,1),(110,1),(153,1),(154,1),(169,1)}
        67:{3,4,5,7}:{(41,1),(45,1),(59,1),(92,1),(93,1)}
        68:{1,3,5}:{(42,1),(88,1),(94,1),(147,1)}
        69:{1,4,6}:{(43,1),(91,1),(94,1),(95,1)}
        70:{3,5,6}:{(44,1),(92,1),(95,1),(147,1),(189,1)}
        71:{1,4,5,6}:{(45,1),(93,1),(96,1),(163,1),(198,1)}
        72:{2,3,4,6,7}:{(46,1),(49,1),(86,1),(98,1),(99,1),(107,1),(146,1),(158,1),(189,1)}
        73:{2,3,5,7}:{(46,1),(47,1),(50,1),(99,1),(100,1)}
        74:{1,2,4,5,7}:{(47,1),(48,1),(51,1),(54,1),(99,1),(100,1),(101,1),(106,1),(160,1),(162,1),(167,1)}
        75:{3,4,5,7}:{(48,1),(52,1),(55,1),(100,1),(101,1)}
        76:{2,3,5}:{(49,1),(88,1),(102,1),(147,1)}
        77:{2,4,6}:{(50,1),(99,1),(102,1),(103,1)}
        78:{3,5,6}:{(51,1),(100,1),(103,1),(147,1),(189,1)}
        79:{2,4,5,6}:{(52,1),(101,1),(105,1),(156,1),(195,1)}
        80:{2,4,6,7}:{(53,1),(99,1),(106,1),(107,1),(158,1)}
        81:{3,6,7}:{(54,1),(100,1),(189,1)}
        82:{2,4,6,7}:{(55,1),(56,1),(101,1),(109,1),(195,1)}
        83:{1,4,6,7}:{(57,1),(91,1),(110,1),(111,1),(150,1)}
        84:{3,6,7}:{(58,1),(92,1),(189,1)}
        85:{1,4,6,7}:{(59,1),(60,1),(93,1),(112,1),(198,1)}
        86:{1,2,4,6,7}:{(61,1),(62,1),(64,1),(72,1),(114,1),(115,1),(138,1),(142,1),(170,1)}
        87:{1,2,3,5,7}:{(61,1),(63,1),(65,1),(73,1),(114,1),(115,1),(122,1),(130,1),(171,1),(203,1),(204,1)}
        88:{1,2,5}:{(62,1),(68,1),(76,1)}
        89:{1,2,4,6}:{(63,1),(69,1),(77,1),(115,1),(116,1),(117,1),(125,1),(133,1)}
        90:{1,3,5,7}:{(64,1),(68,1),(114,1),(118,1),(119,1),(141,1),(171,1)}
        91:{1,4,7}:{(65,1),(69,1),(120,1)}
        92:{3,5,7}:{(66,1),(70,1),(84,1),(120,1)}
        93:{1,4,5,7}:{(67,1),(71,1),(85,1),(121,1)}
        94:{1,4,5}:{(68,1),(69,1),(123,1)}
        95:{3,4,6}:{(69,1),(70,1),(120,1),(123,1),(125,1)}
        96:{1,3,5,6}:{(70,1),(71,1),(121,1),(124,1),(126,1),(174,1),(201,1)}
        97:{2,3,5,6}:{(70,1),(122,1),(125,1),(126,1),(175,1),(181,1),(188,1),(202,1)}
        98:{2,3,5,7}:{(72,1),(76,1),(114,1),(127,1),(128,1),(137,1),(171,1)}
        99:{2,4,7}:{(73,1),(77,1),(129,1)}
       100:{3,5,7}:{(74,1),(78,1),(81,1),(129,1)}
       101:{2,4,5,7}:{(75,1),(79,1),(82,1),(131,1)}
       102:{2,4,5}:{(76,1),(77,1),(132,1)}
       103:{3,4,6}:{(77,1),(78,1),(129,1),(132,1),(133,1)}
       104:{1,3,5,6}:{(78,1),(130,1),(133,1),(135,1),(174,1),(186,1),(187,1),(201,1)}
       105:{2,3,5,6}:{(78,1),(79,1),(131,1),(134,1),(135,1),(175,1),(202,1)}
       106:{2,4,5,7}:{(80,1),(136,1),(137,1)}
       107:{3,4,6,7}:{(80,1),(81,1),(129,1),(137,1),(138,1),(182,1)}
       108:{1,3,6,7}:{(81,1),(130,1),(138,1),(139,1),(201,1)}
       109:{2,3,6,7}:{(81,1),(82,1),(131,1),(139,1),(202,1)}
       110:{1,4,5,7}:{(83,1),(140,1),(141,1)}
       111:{3,4,6,7}:{(83,1),(84,1),(120,1),(141,1),(142,1),(177,1)}
       112:{1,3,6,7}:{(84,1),(85,1),(121,1),(143,1),(201,1)}
       113:{2,3,6,7}:{(84,1),(122,1),(142,1),(143,1),(202,1)}
       114:{1,2,5,7}:{(86,1),(88,1),(90,1),(98,1),(144,1),(167,1),(169,1)}
       115:{1,2,4,7}:{(87,1),(89,1),(91,1),(99,1),(146,1),(153,1),(160,1)}
       116:{1,2,4,5}:{(88,1),(89,1),(94,1),(102,1),(147,1),(156,1),(163,1),(193,1)}
       117:{3,4,6}:{(89,1),(146,1),(147,1),(189,1)}
       118:{1,3,5,6}:{(90,1),(144,1),(150,1),(168,1),(189,1)}
       119:{1,4,5,7}:{(90,1),(91,1),(94,1),(150,1),(151,1)}
       120:{3,4,7}:{(91,1),(92,1),(95,1),(153,1)}
       121:{1,3,5,7}:{(92,1),(93,1),(96,1),(112,1),(152,1),(154,1)}
       122:{2,3,5,7}:{(92,1),(97,1),(113,1),(153,1),(154,1),(169,1),(196,1)}
       123:{3,4,5}:{(94,1),(95,1),(147,1),(156,1)}
       124:{1,3,4,6}:{(95,1),(96,1),(152,1),(155,1),(157,1)}
       125:{2,4,6}:{(95,1),(97,1),(153,1),(156,1)}
       126:{1,2,5,6}:{(96,1),(97,1),(154,1),(157,1),(193,1),(208,1)}
       127:{2,3,5,6}:{(98,1),(144,1),(158,1),(166,1),(189,1)}
       128:{2,4,5,7}:{(98,1),(99,1),(102,1),(158,1),(159,1)}
       129:{3,4,7}:{(99,1),(100,1),(103,1),(160,1)}
       130:{1,3,5,7}:{(100,1),(104,1),(108,1),(160,1),(162,1),(167,1),(199,1)}
       131:{2,3,5,7}:{(100,1),(101,1),(105,1),(109,1),(161,1),(162,1)}
       132:{3,4,5}:{(102,1),(103,1),(147,1),(163,1)}
       133:{1,4,6}:{(103,1),(104,1),(160,1),(163,1)}
       134:{2,3,4,6}:{(103,1),(105,1),(161,1),(164,1),(165,1)}
       135:{1,2,5,6}:{(104,1),(105,1),(162,1),(165,1),(193,1),(208,1)}
       136:{2,4,5,6}:{(106,1),(158,1),(166,1)}
       137:{3,5,7}:{(106,1),(107,1),(166,1),(167,1)}
       138:{1,4,6,7}:{(107,1),(108,1),(160,1),(167,1),(198,1)}
       139:{1,2,6,7}:{(108,1),(109,1),(162,1),(208,1)}
       140:{1,4,5,6}:{(110,1),(150,1),(168,1)}
       141:{3,5,7}:{(110,1),(111,1),(168,1),(169,1)}
       142:{2,4,6,7}:{(111,1),(113,1),(153,1),(169,1),(195,1)}
       143:{1,2,6,7}:{(112,1),(113,1),(154,1),(208,1)}
       144:{1,2,5,6}:{(114,1),(118,1),(127,1),(170,1),(187,1),(188,1)}
       145:{1,2,4,5,7}:{(114,1),(115,1),(116,1),(119,1),(128,1),(170,1),(171,1),(178,1),(183,1),(203,1)}
       146:{3,4,7}:{(115,1),(117,1),(171,1)}
       147:{3,5}:{(116,1),(117,1)}
       148:{1,3,4,6}:{(117,1),(133,1),(172,1),(174,1),(176,1),(186,1),(201,1),(207,1)}
       149:{2,3,4,6}:{(117,1),(125,1),(173,1),(175,1),(176,1),(181,1),(202,1),(206,1)}
       150:{1,4,6}:{(118,1),(119,1),(177,1)}
       151:{3,4,5,7}:{(119,1),(120,1),(123,1),(141,1),(171,1),(177,1),(178,1)}
       152:{1,3,4,7}:{(120,1),(121,1),(124,1),(179,1)}
       153:{2,4,7}:{(120,1),(122,1),(125,1)}
       154:{1,2,5,7}:{(121,1),(122,1),(126,1),(143,1),(179,1)}
       155:{1,3,4,5}:{(123,1),(124,1),(174,1),(180,1),(207,1)}
       156:{2,4,5}:{(123,1),(125,1),(175,1)}
       157:{1,2,4,6}:{(124,1),(125,1),(126,1),(179,1),(180,1),(181,1)}
       158:{2,4,6}:{(127,1),(128,1),(182,1)}
       159:{3,4,5,7}:{(128,1),(129,1),(132,1),(137,1),(171,1),(182,1),(183,1)}
       160:{1,4,7}:{(129,1),(130,1),(133,1)}
       161:{2,3,4,7}:{(129,1),(131,1),(134,1),(184,1)}
       162:{1,2,5,7}:{(130,1),(131,1),(135,1),(139,1),(184,1)}
       163:{1,4,5}:{(132,1),(133,1),(174,1)}
       164:{2,3,4,5}:{(132,1),(134,1),(175,1),(185,1),(206,1)}
       165:{1,2,4,6}:{(133,1),(134,1),(135,1),(184,1),(185,1),(186,1)}
       166:{3,5,6}:{(136,1),(137,1),(182,1),(187,1)}
       167:{1,5,7}:{(137,1),(138,1),(187,1)}
       168:{3,5,6}:{(140,1),(141,1),(177,1),(188,1)}
       169:{2,5,7}:{(141,1),(142,1),(188,1)}
       170:{1,2,4,6}:{(144,1),(145,1),(150,1),(158,1),(189,1),(195,1),(198,1),(208,1)}
       171:{3,5,7}:{(145,1),(146,1),(147,1),(189,1)}
       172:{1,3,4,7}:{(146,1),(148,1),(160,1),(190,1),(192,1),(199,1)}
       173:{2,3,4,7}:{(146,1),(149,1),(153,1),(191,1),(192,1),(196,1)}
       174:{1,3,5}:{(147,1),(148,1),(163,1),(193,1)}
       175:{2,3,5}:{(147,1),(149,1),(156,1),(193,1)}
       176:{1,2,4,6}:{(148,1),(149,1),(192,1),(193,1),(194,1),(208,1),(209,1)}
       177:{3,4,6}:{(150,1),(151,1),(168,1),(189,1),(195,1)}
       178:{2,4,5,7}:{(151,1),(153,1),(156,1),(169,1),(191,1),(195,1)}
       179:{1,2,4,7}:{(152,1),(153,1),(154,1),(157,1),(196,1)}
       180:{1,2,4,5}:{(155,1),(156,1),(157,1),(193,1),(197,1),(209,1)}
       181:{2,3,6}:{(157,1),(196,1),(197,1)}
       182:{3,4,6}:{(158,1),(159,1),(166,1),(189,1),(198,1)}
       183:{1,4,5,7}:{(159,1),(160,1),(163,1),(167,1),(190,1),(198,1)}
       184:{1,2,4,7}:{(160,1),(161,1),(162,1),(165,1),(199,1)}
       185:{1,2,4,5}:{(163,1),(164,1),(165,1),(193,1),(200,1),(209,1)}
       186:{1,3,6}:{(165,1),(199,1),(200,1)}
       187:{1,5,6}:{(166,1),(167,1),(198,1)}
       188:{2,5,6}:{(168,1),(169,1),(195,1)}
       189:{3,6}:{(170,1),(171,1)}
       190:{1,3,5,7}:{(171,1),(172,1),(174,1),(183,1),(201,1),(203,1)}
       191:{2,3,5,7}:{(171,1),(173,1),(175,1),(178,1),(202,1),(203,1)}
       192:{1,2,4,7}:{(172,1),(173,1),(176,1),(203,1),(204,1)}
       193:{1,2,5}:{(174,1),(175,1),(176,1)}
       194:{1,2,3,6}:{(176,1),(181,1),(186,1),(204,1),(205,1)}
       195:{2,4,6}:{(177,1),(178,1),(188,1),(202,1)}
       196:{2,3,7}:{(179,1),(181,1)}
       197:{2,3,5}:{(180,1),(181,1),(206,1)}
       198:{1,4,6}:{(182,1),(183,1),(187,1),(201,1)}
       199:{1,3,7}:{(184,1),(186,1)}
       200:{1,3,5}:{(185,1),(186,1),(207,1)}
       201:{1,3,6}:{(189,1),(190,1),(198,1),(208,1)}
       202:{2,3,6}:{(189,1),(191,1),(195,1),(208,1)}
       203:{1,2,5,7}:{(190,1),(191,1),(192,1),(193,1),(208,1)}
       204:{1,2,3,7}:{(192,1),(194,1),(196,1),(199,1)}
       205:{1,2,3,5}:{(193,1),(194,1),(197,1),(200,1),(209,1)}
       206:{2,3,4}:{(197,1),(209,1)}
       207:{1,3,4}:{(200,1),(209,1)}
       208:{1,2,6}:{(201,1),(202,1),(203,1)}
       209:{1,2,4}:{(205,1),(206,1),(207,1)}

2009 :   0:{1,2,3,6,7}:{(3,1),(4,1),(40,1),(52,1),(85,1),(86,1),(87,1),(104,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(15,1),(19,1),(41,1),(52,1),(55,1),(86,1),(99,1),(104,1)}
         2:{1,3,4,6,7}:{(4,1),(6,1),(15,1),(22,1),(42,1),(52,1),(57,1),(87,1),(100,1),(104,1)}
         3:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(28,1),(31,1),(58,1),(69,1),(94,1),(95,1)}
         4:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(32,1),(60,1),(73,1),(74,1),(96,1),(103,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(10,1),(11,1),(31,1),(61,1),(66,1)}
         6:{1,3,5,7}:{(2,1),(9,1),(12,1),(13,1),(31,1),(62,1),(68,1)}
         7:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(40,1),(43,1),(52,1),(79,1),(80,1),(81,1),(85,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(75,1),(99,1),(100,1)}
         9:{1,2,5,7}:{(4,1),(5,1),(6,1),(17,1),(79,1),(83,1),(84,1)}
        10:{2,4,5,7}:{(5,1),(18,1),(19,1),(76,1),(99,1)}
        11:{2,3,5,6}:{(5,1),(17,1),(19,1),(45,1),(52,1)}
        12:{1,4,5,7}:{(6,1),(21,1),(22,1),(77,1),(100,1)}
        13:{1,3,5,6}:{(6,1),(17,1),(22,1),(47,1),(52,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(90,1),(91,1)}
        15:{3,4,7}:{(8,1),(24,1),(31,1),(88,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(12,1),(25,1),(31,1),(32,1),(34,1),(37,1),(69,1),(89,1),(103,1)}
        17:{1,2,5,6}:{(9,1),(11,1),(13,1),(32,1),(65,1),(67,1)}
        18:{3,4,5,7}:{(10,1),(31,1),(34,1),(35,1),(59,1),(66,1),(92,1)}
        19:{2,4,6}:{(10,1),(11,1),(35,1)}
        20:{2,3,5,6,7}:{(11,1),(33,1),(36,1),(66,1),(72,1),(94,1)}
        21:{3,4,5,7}:{(12,1),(31,1),(37,1),(38,1),(59,1),(68,1),(92,1)}
        22:{1,4,6}:{(12,1),(13,1),(38,1)}
        23:{1,3,5,6,7}:{(13,1),(33,1),(39,1),(68,1),(72,1),(95,1)}
        24:{3,4,6}:{(14,1),(15,1),(43,1),(52,1)}
        25:{1,2,4,5}:{(14,1),(43,1),(76,1),(77,1),(79,1)}
        26:{2,4,5,6}:{(19,1),(45,1),(46,1)}
        27:{1,4,5,6}:{(22,1),(47,1),(48,1)}
        28:{1,2,3,7}:{(40,1),(49,1),(104,1)}
        29:{2,3,4,7}:{(15,1),(41,1),(49,1),(50,1),(99,1),(104,1)}
        30:{1,3,4,7}:{(15,1),(42,1),(49,1),(51,1),(100,1),(104,1)}
        31:{3,5,7}:{(15,1),(16,1),(43,1),(52,1),(97,1),(104,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(19,1),(22,1),(52,1),(54,1),(56,1),(85,1)}
        33:{1,2,5,6,7}:{(17,1),(20,1),(23,1),(53,1),(83,1),(84,1),(101,1)}
        34:{1,4,5,7}:{(18,1),(51,1),(54,1),(77,1),(83,1),(100,1)}
        35:{3,4,6}:{(18,1),(19,1),(45,1),(52,1),(54,1)}
        36:{2,4,6,7}:{(19,1),(20,1),(46,1),(55,1),(99,1)}
        37:{2,4,5,7}:{(21,1),(50,1),(56,1),(76,1),(84,1),(99,1)}
        38:{3,4,6}:{(21,1),(22,1),(47,1),(52,1),(56,1)}
        39:{1,4,6,7}:{(22,1),(23,1),(48,1),(57,1),(100,1)}
        40:{1,2,3,6}:{(28,1),(58,1),(60,1),(102,1)}
        41:{2,3,4,6}:{(24,1),(29,1),(60,1),(61,1),(70,1),(88,1),(90,1),(102,1)}
        42:{1,3,4,6}:{(24,1),(30,1),(60,1),(62,1),(71,1),(88,1),(91,1),(102,1)}
        43:{3,5}:{(24,1),(25,1)}
        44:{1,2,4,5,6}:{(25,1),(26,1),(27,1),(32,1),(63,1),(64,1),(65,1),(67,1),(90,1),(91,1),(93,1)}
        45:{3,5,6}:{(26,1),(35,1),(65,1),(66,1)}
        46:{2,4,5,7}:{(26,1),(36,1),(66,1)}
        47:{3,5,6}:{(27,1),(38,1),(67,1),(68,1)}
        48:{1,4,5,7}:{(27,1),(39,1),(68,1)}
        49:{1,2,4,7}:{(28,1),(29,1),(30,1),(60,1),(69,1)}
        50:{2,3,5,7}:{(29,1),(31,1),(37,1),(61,1),(69,1),(70,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(34,1),(62,1),(69,1),(71,1)}
        52:{3,6}:{(31,1),(32,1)}
        53:{1,2,4,6,7}:{(32,1),(33,1),(36,1),(39,1),(64,1),(72,1),(73,1),(74,1),(96,1),(103,1)}
        54:{1,4,6}:{(34,1),(35,1),(65,1),(71,1)}
        55:{3,4,6,7}:{(35,1),(36,1),(66,1),(72,1),(73,1),(92,1)}
        56:{2,4,6}:{(37,1),(38,1),(67,1),(70,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(68,1),(72,1),(74,1),(92,1)}
        58:{1,2,3,5}:{(40,1),(75,1),(79,1),(97,1)}
        59:{3,4,5}:{(43,1),(76,1),(77,1),(78,1),(97,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(42,1),(49,1),(75,1),(79,1),(85,1)}
        61:{2,3,5}:{(41,1),(43,1),(76,1),(79,1),(97,1)}
        62:{1,3,5}:{(42,1),(43,1),(77,1),(79,1),(97,1)}
        63:{3,5,6}:{(43,1),(44,1),(52,1),(78,1),(82,1)}
        64:{1,2,4,5,7}:{(44,1),(46,1),(48,1),(53,1),(82,1),(83,1),(84,1),(99,1),(100,1),(101,1)}
        65:{1,5,6}:{(45,1),(54,1),(83,1)}
        66:{3,5,7}:{(45,1),(46,1),(55,1),(83,1)}
        67:{2,5,6}:{(47,1),(56,1),(84,1)}
        68:{3,5,7}:{(47,1),(48,1),(57,1),(84,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(85,1)}
        70:{2,3,6}:{(50,1),(52,1),(56,1),(85,1)}
        71:{1,3,6}:{(51,1),(52,1),(54,1),(85,1)}
        72:{3,6,7}:{(52,1),(53,1),(82,1),(104,1)}
        73:{1,4,6,7}:{(54,1),(55,1),(83,1),(87,1),(100,1)}
        74:{2,4,6,7}:{(56,1),(57,1),(84,1),(86,1),(99,1)}
        75:{1,2,4}:{(58,1),(88,1)}
        76:{2,4,5}:{(59,1),(61,1),(90,1)}
        77:{1,4,5}:{(59,1),(62,1),(91,1)}
        78:{3,4,6}:{(59,1),(63,1),(90,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(60,1),(61,1),(62,1)}
        80:{2,3,5,6}:{(61,1),(63,1),(67,1),(70,1),(90,1),(93,1),(94,1),(102,1)}
        81:{1,3,5,6}:{(62,1),(63,1),(65,1),(71,1),(91,1),(93,1),(95,1),(102,1)}
        82:{3,5,7}:{(63,1),(64,1),(72,1),(92,1)}
        83:{1,5,7}:{(65,1),(66,1),(73,1)}
        84:{2,5,7}:{(67,1),(68,1),(74,1)}
        85:{1,2,6}:{(69,1),(70,1),(71,1)}
        86:{2,3,6,7}:{(70,1),(72,1),(74,1),(94,1),(96,1)}
        87:{1,3,6,7}:{(71,1),(72,1),(73,1),(95,1),(96,1)}
        88:{3,4}:{(75,1),(97,1)}
        89:{1,2,4,5}:{(75,1),(76,1),(77,1),(79,1),(97,1),(98,1)}
        90:{2,4,6}:{(76,1),(78,1),(80,1),(99,1)}
        91:{1,4,6}:{(77,1),(78,1),(81,1),(100,1)}
        92:{3,4,7}:{(78,1),(82,1),(99,1),(100,1),(104,1)}
        93:{1,2,5,6}:{(79,1),(80,1),(81,1),(85,1),(98,1),(101,1)}
        94:{2,3,5,7}:{(80,1),(82,1),(84,1),(86,1),(99,1),(101,1),(104,1)}
        95:{1,3,5,7}:{(81,1),(82,1),(83,1),(87,1),(100,1),(101,1),(104,1)}
        96:{1,2,6,7}:{(85,1),(86,1),(87,1),(101,1)}
        97:{3,5}:{(88,1),(89,1),(102,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{2,4,7}:{(90,1),(92,1),(94,1)}
       100:{1,4,7}:{(91,1),(92,1),(95,1)}
       101:{1,2,5,7}:{(93,1),(94,1),(95,1),(96,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

2010 :  0:{1,2,3,4,7}:{(1,1),(2,1),(32,1),(80,1)}
        1:{1,2,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(42,1),(71,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        3:{1,3,4,5,7}:{(5,1),(8,1),(20,1),(24,1),(46,1)}
        4:{2,3,4,5,7}:{(5,1),(9,1),(20,1),(26,1),(46,1)}
        5:{1,2,4,5,7}:{(2,1),(3,1),(4,1),(10,1),(11,1),(28,1),(32,1)}
        6:{1,2,3,5}:{(1,1),(11,1)}
        7:{1,2,3,6}:{(2,1),(10,1)}
        8:{1,3,4,6}:{(3,1),(10,1),(14,1),(31,1)}
        9:{2,3,4,6}:{(4,1),(10,1),(16,1),(31,1)}
       10:{1,2,4,6}:{(5,1),(7,1),(8,1),(9,1),(18,1)}
       11:{1,2,4,5}:{(6,1),(20,1),(21,1)}
       12:{1,2,3,5,6}:{(6,1),(7,1),(18,1),(21,1),(22,1),(40,1),(68,1),(71,1)}
       13:{1,2,3,6,7}:{(7,1),(19,1),(22,1),(67,1),(83,1)}
       14:{1,3,5,6}:{(8,1),(18,1),(23,1),(24,1),(40,1)}
       15:{1,3,4,6,7}:{(8,1),(19,1),(24,1),(46,1),(47,1),(67,1)}
       16:{2,3,5,6}:{(9,1),(18,1),(25,1),(26,1),(40,1)}
       17:{2,3,4,6,7}:{(9,1),(19,1),(26,1),(46,1),(50,1),(67,1)}
       18:{1,2,5,6}:{(10,1),(14,1),(16,1),(28,1)}
       19:{1,2,4,6,7}:{(10,1),(13,1),(15,1),(17,1),(28,1),(32,1)}
       20:{3,4,5}:{(11,1),(31,1)}
       21:{1,2,4,6}:{(11,1),(12,1),(31,1),(32,1)}
       22:{1,2,3,5,7}:{(12,1),(13,1),(28,1),(32,1),(56,1),(79,1),(80,1)}
       23:{1,4,5,6}:{(14,1),(34,1),(35,1)}
       24:{1,3,5,7}:{(14,1),(15,1),(28,1),(35,1),(56,1)}
       25:{2,4,5,6}:{(16,1),(37,1),(38,1)}
       26:{2,3,5,7}:{(16,1),(17,1),(28,1),(38,1),(56,1)}
       27:{1,2,4,5,6}:{(18,1),(21,1),(23,1),(25,1),(40,1),(41,1),(48,1),(51,1),(68,1)}
       28:{1,2,5,7}:{(18,1),(19,1),(24,1),(26,1)}
       29:{2,3,4,5}:{(20,1),(43,1),(44,1)}
       30:{1,3,4,5}:{(20,1),(43,1),(45,1)}
       31:{3,4,6}:{(20,1),(21,1),(40,1),(46,1)}
       32:{1,2,4,7}:{(21,1),(22,1),(46,1)}
       33:{1,3,5,6,7}:{(24,1),(39,1),(47,1),(67,1),(73,1)}
       34:{3,4,5,6}:{(23,1),(40,1),(48,1),(49,1)}
       35:{1,4,5,7}:{(23,1),(24,1),(47,1),(49,1)}
       36:{2,3,5,6,7}:{(26,1),(39,1),(50,1),(67,1),(75,1)}
       37:{3,4,5,6}:{(25,1),(40,1),(51,1),(52,1)}
       38:{2,4,5,7}:{(25,1),(26,1),(50,1),(52,1)}
       39:{1,2,5,6,7}:{(28,1),(33,1),(36,1),(53,1),(81,1),(82,1)}
       40:{3,5,6}:{(27,1),(31,1),(56,1)}
       41:{1,2,4,5,7}:{(27,1),(28,1),(32,1),(35,1),(38,1),(53,1),(56,1),(63,1),(66,1),(79,1)}
       42:{1,2,3,4}:{(57,1)}
       43:{1,2,4,5}:{(29,1),(30,1),(57,1),(58,1)}
       44:{2,3,4,6}:{(29,1),(31,1),(54,1),(58,1),(59,1)}
       45:{1,3,4,6}:{(30,1),(31,1),(55,1),(58,1),(60,1)}
       46:{3,4,7}:{(31,1),(32,1),(56,1)}
       47:{1,4,6,7}:{(33,1),(35,1),(62,1)}
       48:{2,4,5,6}:{(34,1),(54,1),(63,1)}
       49:{3,4,5,7}:{(34,1),(35,1),(56,1),(62,1),(63,1)}
       50:{2,4,6,7}:{(36,1),(38,1),(65,1)}
       51:{1,4,5,6}:{(37,1),(55,1),(66,1)}
       52:{3,4,5,7}:{(37,1),(38,1),(56,1),(65,1),(66,1)}
       53:{1,2,4,6,7}:{(39,1),(41,1),(47,1),(50,1),(67,1),(74,1),(76,1),(83,1)}
       54:{2,3,5,6}:{(40,1),(44,1),(48,1),(68,1),(69,1)}
       55:{1,3,5,6}:{(40,1),(45,1),(51,1),(68,1),(70,1)}
       56:{3,5,7}:{(40,1),(41,1),(46,1),(67,1)}
       57:{1,2,3,5}:{(42,1),(43,1),(71,1)}
       58:{1,2,4,6}:{(43,1),(44,1),(45,1),(68,1),(71,1),(72,1)}
       59:{2,3,4,7}:{(44,1),(46,1),(69,1),(72,1)}
       60:{1,3,4,7}:{(45,1),(46,1),(70,1),(72,1)}
       61:{1,4,5,6,7}:{(47,1),(73,1)}
       62:{3,4,6,7}:{(47,1),(49,1),(67,1),(73,1),(74,1)}
       63:{2,4,5,7}:{(48,1),(49,1),(69,1),(74,1)}
       64:{2,4,5,6,7}:{(50,1),(75,1)}
       65:{3,4,6,7}:{(50,1),(52,1),(67,1),(75,1),(76,1)}
       66:{1,4,5,7}:{(51,1),(52,1),(70,1),(76,1)}
       67:{3,6,7}:{(53,1),(56,1)}
       68:{1,2,5,6}:{(54,1),(55,1),(58,1),(79,1)}
       69:{2,3,5,7}:{(54,1),(56,1),(59,1),(63,1),(77,1),(79,1)}
       70:{1,3,5,7}:{(55,1),(56,1),(60,1),(66,1),(78,1),(79,1)}
       71:{1,2,3,6}:{(57,1),(58,1),(80,1)}
       72:{1,2,4,7}:{(58,1),(59,1),(60,1),(79,1),(80,1)}
       73:{3,5,6,7}:{(61,1),(62,1),(81,1)}
       74:{2,4,6,7}:{(62,1),(63,1),(77,1),(81,1)}
       75:{3,5,6,7}:{(64,1),(65,1),(82,1)}
       76:{1,4,6,7}:{(65,1),(66,1),(78,1),(82,1)}
       77:{2,3,6,7}:{(67,1),(69,1),(74,1),(83,1)}
       78:{1,3,6,7}:{(67,1),(70,1),(76,1),(83,1)}
       79:{1,2,5,7}:{(68,1),(69,1),(70,1),(72,1),(83,1)}
       80:{1,2,3,7}:{(71,1),(72,1)}
       81:{2,5,6,7}:{(73,1),(74,1)}
       82:{1,5,6,7}:{(75,1),(76,1)}
       83:{1,2,6,7}:{(77,1),(78,1),(79,1)}

2011 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(8,1),(20,1),(23,1),(24,1),(49,1)}
         2:{1,2,3,5}:{(0,1),(7,1),(8,1)}
         3:{1,3,4,5}:{(7,1),(9,1),(21,1)}
         4:{2,3,4,5}:{(7,1),(10,1),(21,1)}
         5:{1,2,3,4,7}:{(1,1),(11,1),(15,1),(40,1),(66,1)}
         6:{1,2,3,5}:{(1,1),(12,1)}
         7:{1,2,4,5}:{(2,1),(3,1),(4,1),(14,1)}
         8:{1,2,3,6}:{(2,1),(14,1),(15,1)}
         9:{1,3,4,6}:{(3,1),(14,1),(16,1),(17,1),(36,1)}
        10:{2,3,4,6}:{(4,1),(14,1),(18,1),(19,1),(36,1)}
        11:{1,2,3,5,7}:{(5,1),(6,1),(22,1),(23,1)}
        12:{1,2,4,5}:{(6,1),(21,1),(24,1)}
        13:{1,2,3,5,6}:{(6,1),(8,1),(23,1),(24,1),(25,1),(26,1),(49,1),(53,1),(55,1),(82,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(9,1),(10,1),(26,1),(27,1)}
        15:{1,2,3,7}:{(8,1),(27,1)}
        16:{1,3,5,6}:{(9,1),(26,1),(28,1),(29,1),(53,1)}
        17:{1,3,4,7}:{(9,1),(27,1),(29,1),(54,1)}
        18:{2,3,5,6}:{(10,1),(26,1),(30,1),(31,1),(53,1)}
        19:{2,3,4,7}:{(10,1),(27,1),(31,1),(54,1)}
        20:{1,2,3,4}:{(32,1)}
        21:{3,4,5}:{(12,1),(36,1)}
        22:{1,2,4,5,7}:{(11,1),(12,1),(35,1),(37,1),(40,1),(74,1)}
        23:{1,2,3,6}:{(11,1),(37,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(36,1),(40,1)}
        25:{1,2,3,5,7}:{(13,1),(15,1),(38,1),(40,1),(41,1),(66,1),(73,1),(74,1),(94,1)}
        26:{1,2,5,6}:{(14,1),(16,1),(18,1),(41,1)}
        27:{1,2,4,7}:{(14,1),(15,1),(17,1),(19,1),(41,1)}
        28:{1,4,5,6}:{(16,1),(42,1),(43,1)}
        29:{1,3,5,7}:{(16,1),(17,1),(41,1),(43,1),(44,1),(73,1)}
        30:{2,4,5,6}:{(18,1),(45,1),(46,1)}
        31:{2,3,5,7}:{(18,1),(19,1),(41,1),(46,1),(47,1),(73,1)}
        32:{1,2,3,5}:{(20,1),(48,1),(49,1)}
        33:{1,3,4,5}:{(21,1),(48,1),(50,1)}
        34:{2,3,4,5}:{(21,1),(48,1),(51,1)}
        35:{3,4,5,7}:{(21,1),(22,1),(52,1),(54,1),(87,1)}
        36:{3,4,6}:{(21,1),(24,1),(53,1),(54,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(52,1),(55,1)}
        38:{1,2,3,6,7}:{(23,1),(25,1),(56,1),(58,1),(88,1),(103,1)}
        39:{1,2,4,5,6}:{(24,1),(26,1),(28,1),(30,1),(53,1),(55,1),(57,1),(59,1),(62,1),(82,1),(86,1)}
        40:{1,2,4,7}:{(24,1),(25,1),(54,1)}
        41:{1,2,5,7}:{(26,1),(27,1),(29,1),(31,1),(58,1)}
        42:{3,4,5,6}:{(28,1),(53,1),(59,1),(60,1),(86,1)}
        43:{1,4,5,7}:{(28,1),(29,1),(60,1),(61,1)}
        44:{1,3,6,7}:{(29,1),(58,1),(61,1),(88,1)}
        45:{3,4,5,6}:{(30,1),(53,1),(62,1),(63,1),(86,1)}
        46:{2,4,5,7}:{(30,1),(31,1),(63,1),(64,1)}
        47:{2,3,6,7}:{(31,1),(58,1),(64,1),(88,1)}
        48:{1,2,4,5}:{(32,1),(33,1),(34,1),(65,1)}
        49:{1,2,3,6}:{(32,1),(65,1),(66,1)}
        50:{1,3,4,6}:{(33,1),(36,1),(65,1),(67,1),(68,1)}
        51:{2,3,4,6}:{(34,1),(36,1),(65,1),(69,1),(70,1)}
        52:{3,4,6}:{(35,1),(37,1),(71,1)}
        53:{3,5,6}:{(36,1),(39,1),(73,1)}
        54:{3,4,7}:{(36,1),(40,1),(73,1)}
        55:{1,2,5,6}:{(37,1),(71,1),(74,1)}
        56:{1,2,4,6,7}:{(37,1),(38,1),(40,1),(72,1),(74,1)}
        57:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(43,1),(46,1),(73,1),(74,1),(75,1),(76,1),(79,1),(94,1),(97,1)}
        58:{1,2,6,7}:{(41,1),(44,1),(47,1)}
        59:{2,4,5,6}:{(42,1),(69,1),(76,1)}
        60:{3,4,5,7}:{(42,1),(43,1),(73,1),(76,1),(77,1),(97,1)}
        61:{1,4,6,7}:{(43,1),(44,1),(77,1),(78,1)}
        62:{1,4,5,6}:{(45,1),(67,1),(79,1)}
        63:{3,4,5,7}:{(45,1),(46,1),(73,1),(79,1),(80,1),(97,1)}
        64:{2,4,6,7}:{(46,1),(47,1),(80,1),(81,1)}
        65:{1,2,4,6}:{(48,1),(49,1),(50,1),(51,1),(82,1),(83,1)}
        66:{1,2,3,7}:{(49,1),(83,1)}
        67:{1,3,5,6}:{(50,1),(53,1),(62,1),(82,1),(84,1)}
        68:{1,3,4,7}:{(50,1),(54,1),(83,1),(84,1)}
        69:{2,3,5,6}:{(51,1),(53,1),(59,1),(82,1),(85,1)}
        70:{2,3,4,7}:{(51,1),(54,1),(83,1),(85,1)}
        71:{3,5,6}:{(52,1),(55,1),(86,1),(87,1)}
        72:{3,4,6,7}:{(52,1),(54,1),(56,1),(87,1),(88,1),(104,1)}
        73:{3,5,7}:{(53,1),(54,1),(57,1),(88,1)}
        74:{1,2,5,7}:{(55,1),(56,1),(87,1)}
        75:{1,2,4,6,7}:{(57,1),(58,1),(61,1),(64,1),(88,1),(89,1),(90,1),(92,1),(103,1),(104,1)}
        76:{2,4,5,7}:{(59,1),(60,1),(85,1),(90,1)}
        77:{3,4,6,7}:{(60,1),(61,1),(88,1),(90,1),(91,1),(104,1)}
        78:{1,5,6,7}:{(61,1),(91,1)}
        79:{1,4,5,7}:{(62,1),(63,1),(84,1),(92,1)}
        80:{3,4,6,7}:{(63,1),(64,1),(88,1),(92,1),(93,1),(104,1)}
        81:{2,5,6,7}:{(64,1),(93,1)}
        82:{1,2,5,6}:{(65,1),(67,1),(69,1),(94,1)}
        83:{1,2,4,7}:{(65,1),(66,1),(68,1),(70,1),(94,1)}
        84:{1,3,5,7}:{(67,1),(68,1),(73,1),(79,1),(94,1),(95,1)}
        85:{2,3,5,7}:{(69,1),(70,1),(73,1),(76,1),(94,1),(96,1)}
        86:{4,5,6}:{(71,1),(97,1)}
        87:{3,5,7}:{(71,1),(72,1),(74,1),(97,1)}
        88:{3,6,7}:{(73,1),(75,1)}
        89:{1,2,5,6,7}:{(74,1),(75,1),(78,1),(81,1),(98,1),(99,1),(101,1)}
        90:{2,4,6,7}:{(76,1),(77,1),(96,1),(99,1)}
        91:{3,5,6,7}:{(77,1),(78,1),(99,1),(100,1)}
        92:{1,4,6,7}:{(79,1),(80,1),(95,1),(101,1)}
        93:{3,5,6,7}:{(80,1),(81,1),(101,1),(102,1)}
        94:{1,2,5,7}:{(82,1),(83,1),(84,1),(85,1),(103,1)}
        95:{1,3,6,7}:{(84,1),(88,1),(92,1),(103,1)}
        96:{2,3,6,7}:{(85,1),(88,1),(90,1),(103,1)}
        97:{4,5,7}:{(86,1),(87,1),(104,1)}
        98:{3,5,6,7}:{(87,1),(88,1),(89,1),(104,1)}
        99:{2,5,6,7}:{(90,1),(91,1)}
       100:{4,5,6,7}:{(91,1),(104,1)}
       101:{1,5,6,7}:{(92,1),(93,1)}
       102:{4,5,6,7}:{(93,1),(104,1)}
       103:{1,2,6,7}:{(94,1),(95,1),(96,1)}
       104:{4,6,7}:{(97,1),(98,1)}

2012 :   0:{2,3,4,5,6}:{(2,1),(3,1),(36,1),(59,1),(88,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(20,1),(95,1)}
         2:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(44,1),(47,1),(75,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(24,1),(74,1),(76,1)}
         4:{1,4,5,6,7}:{(1,1),(9,1),(100,1)}
         5:{2,4,5,6,7}:{(1,1),(10,1),(87,1)}
         6:{2,3,4,6,7}:{(2,1),(10,1),(12,1),(31,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(12,1),(13,1),(34,1),(58,1),(61,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(15,1)}
         9:{1,3,5,6,7}:{(4,1),(17,1),(18,1),(20,1),(93,1)}
        10:{2,3,5,6,7}:{(5,1),(6,1),(19,1),(20,1),(75,1)}
        11:{1,2,4,5,6,7}:{(4,1),(5,1),(18,1),(19,1),(20,1),(42,1),(43,1),(72,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(19,1),(21,1),(43,1)}
        13:{1,3,5,7}:{(7,1),(8,1),(21,1),(23,1)}
        14:{1,2,3,5,6}:{(8,1),(22,1),(24,1),(50,1),(76,1),(77,1)}
        15:{1,3,4,6}:{(8,1),(23,1),(24,1),(25,1)}
        16:{1,3,4,5,6}:{(26,1),(27,1),(59,1),(80,1),(101,1)}
        17:{1,3,4,6,7}:{(9,1),(26,1),(28,1),(31,1)}
        18:{1,2,5,6,7}:{(9,1),(28,1),(29,1),(83,1)}
        19:{1,2,5,6,7}:{(10,1),(12,1),(30,1),(61,1)}
        20:{3,5,6,7}:{(11,1),(31,1),(85,1)}
        21:{1,3,6,7}:{(12,1),(13,1)}
        22:{1,2,3,5,7}:{(13,1),(14,1),(32,1),(34,1),(61,1),(63,1)}
        23:{1,3,4,7}:{(13,1),(15,1),(34,1)}
        24:{1,2,4,6}:{(14,1),(15,1),(34,1),(36,1),(37,1)}
        25:{1,3,4,5}:{(15,1),(37,1)}
        26:{1,3,4,5,7}:{(16,1),(17,1),(38,1),(44,1),(89,1),(93,1)}
        27:{1,2,4,5,6}:{(16,1),(38,1),(39,1),(67,1),(73,1),(94,1)}
        28:{1,2,4,6,7}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        29:{2,3,5,6,7}:{(18,1),(20,1),(40,1),(42,1),(70,1)}
        30:{1,3,5,6,7}:{(19,1),(20,1),(21,1),(43,1),(46,1)}
        31:{3,4,6,7}:{(20,1),(42,1),(43,1),(44,1)}
        32:{1,2,3,6,7}:{(21,1),(22,1),(45,1),(77,1)}
        33:{1,3,4,6,7}:{(21,1),(23,1),(43,1),(45,1),(46,1),(49,1),(71,1)}
        34:{1,2,4,7}:{(22,1),(23,1),(24,1),(47,1)}
        35:{1,3,4,5,7}:{(23,1),(25,1),(46,1),(48,1),(49,1),(95,1)}
        36:{2,3,4,6}:{(24,1),(47,1),(50,1),(77,1)}
        37:{1,2,4,5}:{(24,1),(25,1),(50,1)}
        38:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(51,1),(57,1),(78,1),(83,1)}
        39:{2,3,5,6}:{(27,1),(51,1),(53,1)}
        40:{2,3,6,7}:{(28,1),(51,1)}
        41:{1,2,3,5,6,7}:{(29,1),(30,1),(32,1),(54,1),(56,1),(61,1),(83,1),(85,1),(88,1),(101,1)}
        42:{2,4,6,7}:{(29,1),(31,1),(57,1)}
        43:{1,4,6,7}:{(30,1),(31,1),(58,1)}
        44:{3,4,5,7}:{(31,1),(57,1),(58,1),(59,1),(85,1)}
        45:{1,2,4,6,7}:{(32,1),(33,1),(34,1),(60,1),(61,1),(64,1)}
        46:{1,3,5,7}:{(33,1),(58,1),(61,1),(62,1),(85,1)}
        47:{2,3,4,7}:{(34,1),(36,1),(63,1)}
        48:{1,2,4,5,7}:{(34,1),(35,1),(37,1),(61,1),(63,1),(64,1),(87,1)}
        49:{1,3,4,6}:{(35,1),(62,1),(64,1),(102,1)}
        50:{2,3,5}:{(36,1),(37,1)}
        51:{2,3,5,7}:{(38,1),(39,1),(40,1),(66,1)}
        52:{1,2,3,5,6}:{(39,1),(65,1),(67,1),(92,1),(94,1),(103,1)}
        53:{2,3,4,6}:{(39,1),(66,1),(67,1),(68,1)}
        54:{1,2,3,6,7}:{(40,1),(65,1),(69,1),(103,1)}
        55:{2,3,4,6,7}:{(40,1),(42,1),(66,1),(69,1),(70,1),(71,1),(91,1)}
        56:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(71,1),(72,1),(97,1),(104,1)}
        57:{2,4,5,7}:{(42,1),(44,1),(70,1),(73,1)}
        58:{1,4,5,7}:{(43,1),(44,1),(46,1),(74,1)}
        59:{3,4,5,6}:{(44,1),(73,1),(74,1),(96,1)}
        60:{2,3,4,6,7}:{(45,1),(47,1),(71,1),(75,1),(77,1),(97,1)}
        61:{1,2,5,7}:{(45,1),(46,1),(75,1),(76,1)}
        62:{1,3,5,6}:{(46,1),(49,1),(74,1),(76,1),(96,1)}
        63:{2,3,5,7}:{(47,1),(48,1),(50,1),(77,1)}
        64:{1,2,4,6}:{(48,1),(49,1),(76,1),(77,1),(97,1)}
        65:{1,2,3,5,7}:{(51,1),(52,1),(54,1),(78,1),(83,1),(98,1)}
        66:{2,3,4,7}:{(51,1),(53,1),(78,1)}
        67:{1,2,4,6}:{(52,1),(53,1),(78,1),(80,1),(81,1)}
        68:{2,3,4,5}:{(53,1),(81,1)}
        69:{1,2,4,6,7}:{(54,1),(55,1),(78,1),(82,1),(83,1),(99,1)}
        70:{2,3,5,7}:{(55,1),(57,1),(83,1),(84,1),(85,1)}
        71:{3,4,6,7}:{(56,1),(85,1),(102,1)}
        72:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(61,1),(83,1),(85,1),(86,1),(87,1),(100,1)}
        73:{2,4,5,6}:{(57,1),(59,1),(84,1)}
        74:{1,4,5,6}:{(58,1),(59,1),(62,1)}
        75:{2,3,5,7}:{(60,1),(61,1),(85,1),(87,1),(88,1)}
        76:{1,2,5,6}:{(61,1),(62,1),(64,1),(88,1)}
        77:{2,3,6}:{(63,1),(64,1)}
        78:{1,2,4,7}:{(65,1),(66,1),(67,1),(89,1)}
        79:{2,3,4,5,7}:{(66,1),(68,1),(70,1),(90,1),(91,1),(95,1)}
        80:{1,3,4,6}:{(67,1),(89,1),(92,1),(103,1)}
        81:{1,2,4,5}:{(67,1),(68,1),(92,1)}
        82:{1,3,4,6,7}:{(69,1),(71,1),(89,1),(93,1),(103,1),(104,1)}
        83:{1,2,5,7}:{(69,1),(70,1),(93,1),(94,1)}
        84:{2,3,5,6}:{(70,1),(73,1),(91,1),(94,1),(96,1)}
        85:{3,5,7}:{(71,1),(72,1),(96,1)}
        86:{1,2,4,5,6}:{(72,1),(73,1),(74,1),(76,1),(94,1),(96,1),(97,1),(104,1)}
        87:{2,4,5,7}:{(75,1),(95,1),(97,1)}
        88:{2,3,5,6}:{(75,1),(76,1),(77,1),(96,1),(97,1)}
        89:{1,3,4,7}:{(78,1),(80,1),(98,1)}
        90:{1,2,4,5,7}:{(78,1),(79,1),(81,1),(83,1),(98,1),(99,1),(100,1)}
        91:{2,3,4,6}:{(79,1),(84,1),(99,1),(102,1)}
        92:{1,3,5}:{(80,1),(81,1)}
        93:{1,3,5,7}:{(82,1),(83,1),(85,1),(100,1),(101,1)}
        94:{1,2,5,6}:{(83,1),(84,1),(99,1),(101,1)}
        95:{3,4,5,7}:{(85,1),(87,1),(100,1),(102,1)}
        96:{3,5,6}:{(85,1),(86,1),(102,1)}
        97:{2,4,6}:{(87,1),(88,1),(102,1)}
        98:{1,3,5,7}:{(89,1),(90,1),(92,1),(103,1)}
        99:{1,2,4,6}:{(90,1),(91,1),(94,1),(103,1),(104,1)}
       100:{1,4,5,7}:{(93,1),(95,1),(104,1)}
       101:{1,3,5,6}:{(93,1),(94,1),(96,1),(103,1),(104,1)}
       102:{3,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       103:{1,3,6}:{(98,1),(99,1)}
       104:{1,4,6}:{(100,1),(101,1),(102,1)}

2013 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(66,1),(75,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(54,1),(62,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(60,1),(63,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(50,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(47,1),(51,1)}
         5:{1,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(30,1),(55,1),(60,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(37,1),(78,1)}
         8:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(37,1),(54,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(38,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{1,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(43,1),(47,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(24,1),(89,1)}
        15:{2,4,5,6,7}:{(7,1),(8,1),(65,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(47,1)}
        17:{1,3,6,7}:{(9,1),(10,1)}
        18:{1,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{1,3,4,5}:{(11,1),(23,1)}
        20:{2,3,4,6}:{(13,1),(29,1),(30,1),(55,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(34,1),(55,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(29,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(30,1)}
        24:{1,3,5,6,7}:{(14,1),(32,1),(36,1),(37,1),(84,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(36,1),(37,1),(38,1),(59,1),(61,1)}
        26:{1,3,5,6,7}:{(16,1),(17,1),(37,1),(38,1),(39,1)}
        27:{1,3,4,6,7}:{(17,1),(18,1),(34,1),(38,1),(39,1),(40,1),(58,1)}
        28:{1,3,4,5,7}:{(18,1),(19,1),(35,1),(39,1),(40,1),(78,1)}
        29:{2,3,4,7}:{(20,1),(22,1),(43,1)}
        30:{2,3,5}:{(20,1),(23,1)}
        31:{1,3,4,5,6}:{(41,1),(44,1),(75,1),(91,1),(95,1)}
        32:{1,3,4,6,7}:{(24,1),(41,1),(45,1),(50,1)}
        33:{1,2,3,5,6,7}:{(21,1),(26,1),(46,1),(47,1),(49,1),(66,1),(69,1),(72,1),(93,1),(95,1)}
        34:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(42,1),(47,1),(48,1)}
        35:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(43,1),(47,1),(48,1),(65,1)}
        36:{1,2,5,6,7}:{(24,1),(45,1),(49,1),(93,1)}
        37:{3,5,6,7}:{(25,1),(50,1),(72,1)}
        38:{1,4,6,7}:{(26,1),(50,1),(51,1)}
        39:{1,3,5,7}:{(27,1),(47,1),(51,1),(52,1),(72,1)}
        40:{1,3,4,6}:{(28,1),(48,1),(52,1),(90,1)}
        41:{1,3,4,5,7}:{(31,1),(32,1),(53,1),(62,1),(84,1),(96,1)}
        42:{2,3,4,6,7}:{(29,1),(34,1),(54,1),(55,1),(58,1),(79,1)}
        43:{2,3,5,7}:{(29,1),(30,1),(35,1),(55,1)}
        44:{1,2,4,5,6}:{(31,1),(53,1),(56,1),(80,1),(86,1),(101,1)}
        45:{1,2,4,6,7}:{(32,1),(36,1),(53,1),(57,1),(61,1)}
        46:{1,2,4,6,7}:{(33,1),(38,1),(58,1),(59,1),(61,1),(79,1),(99,1)}
        47:{1,2,5,7}:{(34,1),(39,1),(54,1),(60,1)}
        48:{1,2,4,6}:{(35,1),(40,1),(55,1),(60,1),(79,1)}
        49:{2,3,5,6,7}:{(36,1),(37,1),(57,1),(61,1),(83,1)}
        50:{3,4,6,7}:{(37,1),(38,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(62,1),(63,1)}
        52:{1,3,5,6}:{(39,1),(40,1),(60,1),(63,1),(85,1)}
        53:{1,2,4,5,7}:{(41,1),(44,1),(45,1),(64,1),(74,1),(87,1),(93,1)}
        54:{2,3,5,7}:{(42,1),(47,1),(65,1),(66,1),(72,1)}
        55:{2,3,6}:{(43,1),(48,1)}
        56:{2,3,5,6}:{(44,1),(64,1),(68,1)}
        57:{2,3,6,7}:{(45,1),(64,1)}
        58:{3,4,6,7}:{(46,1),(72,1),(90,1)}
        59:{1,2,4,5,7}:{(46,1),(47,1),(51,1),(65,1),(72,1),(73,1),(74,1),(89,1),(93,1)}
        60:{1,2,5,6}:{(47,1),(48,1),(52,1),(66,1)}
        61:{2,4,6,7}:{(49,1),(50,1),(74,1)}
        62:{3,4,5,7}:{(50,1),(51,1),(72,1),(74,1),(75,1)}
        63:{1,4,5,6}:{(51,1),(52,1),(75,1)}
        64:{2,3,5,7}:{(53,1),(56,1),(57,1),(77,1)}
        65:{2,4,5,7}:{(54,1),(78,1),(79,1)}
        66:{2,3,5,6}:{(54,1),(55,1),(60,1),(79,1),(85,1)}
        67:{1,2,3,5,6}:{(56,1),(76,1),(80,1),(100,1),(101,1),(104,1)}
        68:{2,3,4,6}:{(56,1),(77,1),(80,1),(81,1)}
        69:{1,2,3,6,7}:{(57,1),(76,1),(82,1),(104,1)}
        70:{2,3,4,6,7}:{(57,1),(58,1),(61,1),(77,1),(82,1),(83,1),(98,1)}
        71:{1,3,4,6,7}:{(58,1),(82,1),(84,1),(96,1),(99,1),(104,1)}
        72:{3,5,7}:{(58,1),(59,1),(85,1)}
        73:{1,2,4,5,6}:{(59,1),(60,1),(63,1),(79,1),(85,1),(86,1),(99,1),(101,1)}
        74:{2,4,5,7}:{(61,1),(62,1),(83,1),(86,1)}
        75:{3,4,5,6}:{(62,1),(63,1),(85,1),(86,1)}
        76:{1,2,3,5,7}:{(64,1),(67,1),(69,1),(87,1),(93,1),(102,1)}
        77:{2,3,4,7}:{(64,1),(68,1),(87,1)}
        78:{3,4,5,7}:{(65,1),(72,1),(89,1),(90,1)}
        79:{2,4,6}:{(65,1),(66,1),(90,1)}
        80:{1,2,4,6}:{(67,1),(68,1),(87,1),(91,1),(92,1)}
        81:{2,3,4,5}:{(68,1),(92,1)}
        82:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(87,1),(93,1),(103,1)}
        83:{2,3,5,7}:{(70,1),(72,1),(74,1),(93,1),(94,1)}
        84:{1,3,5,7}:{(71,1),(72,1),(89,1),(93,1),(95,1)}
        85:{3,5,6}:{(72,1),(73,1),(90,1)}
        86:{2,4,5,6}:{(74,1),(75,1),(94,1)}
        87:{1,2,4,7}:{(76,1),(77,1),(80,1),(96,1)}
        88:{2,3,4,5,7}:{(77,1),(78,1),(81,1),(83,1),(97,1),(98,1)}
        89:{1,4,5,7}:{(78,1),(84,1),(99,1)}
        90:{3,4,6}:{(78,1),(79,1),(85,1),(99,1)}
        91:{1,3,4,6}:{(80,1),(96,1),(100,1),(104,1)}
        92:{1,2,4,5}:{(80,1),(81,1),(100,1)}
        93:{1,2,5,7}:{(82,1),(83,1),(84,1),(101,1)}
        94:{2,3,5,6}:{(83,1),(85,1),(86,1),(98,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(99,1),(101,1),(104,1)}
        96:{1,3,4,7}:{(87,1),(91,1),(102,1)}
        97:{1,2,4,5,7}:{(87,1),(88,1),(89,1),(92,1),(93,1),(102,1),(103,1)}
        98:{2,3,4,6}:{(88,1),(90,1),(94,1),(103,1)}
        99:{1,4,6}:{(89,1),(90,1),(95,1)}
       100:{1,3,5}:{(91,1),(92,1)}
       101:{1,2,5,6}:{(93,1),(94,1),(95,1),(103,1)}
       102:{1,3,5,7}:{(96,1),(97,1),(100,1),(104,1)}
       103:{1,2,4,6}:{(97,1),(98,1),(99,1),(101,1),(104,1)}
       104:{1,3,6}:{(102,1),(103,1)}

2014 :   0:{2,3,4,5,6}:{(2,1),(3,1),(31,1),(62,1),(72,1)}
         1:{1,2,3,4,6}:{(4,1),(5,1),(20,1),(23,1)}
         2:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(20,1),(50,1),(56,1)}
         3:{2,3,4,5,7}:{(0,1),(8,1),(9,1),(46,1),(77,1),(87,1)}
         4:{1,2,3,5}:{(1,1),(10,1)}
         5:{1,2,3,4,7}:{(1,1),(12,1),(34,1)}
         6:{1,3,4,5}:{(10,1),(14,1)}
         7:{1,3,5,6}:{(2,1),(14,1),(16,1)}
         8:{1,2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(34,1),(64,1),(71,1)}
         9:{2,3,4,6,7}:{(3,1),(17,1),(18,1),(73,1)}
        10:{1,2,4,5}:{(4,1),(6,1),(19,1),(20,1)}
        11:{1,2,3,5,6}:{(4,1),(7,1),(20,1),(22,1),(23,1),(45,1),(50,1)}
        12:{1,2,3,5,7}:{(4,1),(5,1),(21,1),(23,1)}
        13:{1,2,3,4,6,7}:{(5,1),(23,1),(24,1),(49,1),(52,1),(82,1),(117,1),(118,1),(119,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(20,1),(26,1)}
        15:{1,3,4,5,7}:{(6,1),(21,1),(26,1),(27,1),(53,1),(55,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(26,1),(28,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(28,1),(29,1),(57,1)}
        18:{2,3,5,6,7}:{(9,1),(29,1),(30,1),(58,1),(77,1)}
        19:{2,3,4,5}:{(10,1),(31,1)}
        20:{1,2,4,6}:{(10,1),(11,1),(14,1),(31,1),(34,1)}
        21:{1,2,4,5,7}:{(10,1),(12,1),(15,1),(32,1),(34,1),(35,1),(64,1)}
        22:{1,2,3,5,7}:{(11,1),(16,1),(34,1),(36,1),(60,1),(64,1)}
        23:{1,2,3,6}:{(12,1),(35,1)}
        24:{1,2,3,5,7}:{(13,1),(37,1),(38,1),(64,1),(97,1),(130,1)}
        25:{1,3,4,5,6}:{(14,1),(33,1),(39,1),(41,1),(95,1)}
        26:{1,3,4,7}:{(14,1),(16,1),(34,1)}
        27:{1,3,4,6}:{(15,1),(35,1),(41,1),(67,1)}
        28:{1,3,6,7}:{(16,1),(17,1)}
        29:{1,2,5,6,7}:{(17,1),(18,1),(42,1),(64,1)}
        30:{2,4,5,6,7}:{(18,1),(44,1),(94,1)}
        31:{2,3,4,6}:{(19,1),(20,1),(45,1),(46,1)}
        32:{2,3,4,5,7}:{(19,1),(21,1),(46,1),(47,1),(53,1),(77,1)}
        33:{1,2,4,5,6}:{(20,1),(25,1),(45,1),(48,1),(50,1),(78,1)}
        34:{1,2,4,7}:{(20,1),(22,1),(26,1),(46,1)}
        35:{1,2,4,6}:{(21,1),(23,1),(27,1),(47,1),(50,1)}
        36:{1,2,3,6,7}:{(22,1),(23,1),(28,1),(49,1),(76,1)}
        37:{1,2,3,5,6}:{(23,1),(24,1),(50,1),(52,1),(81,1),(116,1),(118,1)}
        38:{1,2,4,5,7}:{(24,1),(52,1),(53,1)}
        39:{1,3,4,5,7}:{(25,1),(26,1),(48,1),(54,1),(55,1),(110,1)}
        40:{1,3,4,6,7}:{(26,1),(27,1),(28,1),(49,1),(55,1),(57,1),(82,1)}
        41:{1,3,5,6}:{(27,1),(50,1),(55,1),(56,1),(81,1)}
        42:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(57,1),(58,1)}
        43:{1,2,4,5,6,7}:{(29,1),(30,1),(57,1),(58,1),(59,1),(80,1),(91,1),(92,1)}
        44:{3,4,5,6,7}:{(30,1),(58,1),(59,1),(110,1)}
        45:{2,3,5,6}:{(31,1),(33,1),(60,1)}
        46:{2,3,4,7}:{(31,1),(34,1),(60,1)}
        47:{2,3,4,6}:{(32,1),(35,1),(62,1),(67,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(39,1),(60,1),(63,1),(64,1),(94,1)}
        49:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(40,1),(61,1),(64,1)}
        50:{1,2,5,6}:{(35,1),(41,1),(62,1),(64,1)}
        51:{1,2,3,5,6,7}:{(36,1),(37,1),(42,1),(64,1),(66,1),(75,1),(93,1),(97,1),(128,1),(130,1),(132,1)}
        52:{1,2,4,6}:{(37,1),(38,1),(67,1)}
        53:{3,4,5,7}:{(38,1),(67,1),(97,1)}
        54:{1,3,4,6,7}:{(39,1),(63,1),(70,1),(124,1)}
        55:{1,3,5,7}:{(40,1),(41,1),(64,1),(71,1),(97,1)}
        56:{1,4,5,6}:{(41,1),(71,1),(72,1)}
        57:{1,4,6,7}:{(42,1),(71,1),(73,1)}
        58:{3,5,6,7}:{(43,1),(73,1),(97,1)}
        59:{1,4,5,6,7}:{(44,1),(74,1),(125,1)}
        60:{2,3,5,7}:{(45,1),(46,1),(48,1),(76,1)}
        61:{2,3,4,6,7}:{(46,1),(47,1),(49,1),(76,1),(77,1),(82,1),(109,1)}
        62:{2,3,5,6}:{(47,1),(50,1),(77,1),(78,1),(81,1)}
        63:{1,2,4,6,7}:{(48,1),(54,1),(76,1),(79,1),(109,1)}
        64:{1,2,5,7}:{(49,1),(50,1),(55,1),(77,1)}
        65:{1,2,4,5,6}:{(50,1),(52,1),(56,1),(78,1),(80,1),(81,1),(89,1),(111,1),(116,1)}
        66:{1,2,4,6,7}:{(51,1),(52,1),(57,1),(80,1),(82,1),(91,1),(109,1),(136,1)}
        67:{3,4,6}:{(52,1),(53,1),(81,1)}
        68:{1,3,4,5,7}:{(53,1),(83,1),(85,1),(114,1),(152,1),(153,1)}
        69:{2,3,4,5,7}:{(53,1),(84,1),(85,1),(115,1),(144,1),(145,1)}
        70:{1,3,5,6,7}:{(54,1),(55,1),(79,1),(86,1),(113,1)}
        71:{1,4,5,7}:{(55,1),(56,1),(57,1),(87,1)}
        72:{3,4,5,6}:{(56,1),(81,1),(87,1),(89,1)}
        73:{3,4,6,7}:{(57,1),(58,1),(87,1),(91,1)}
        74:{1,3,5,6,7}:{(58,1),(59,1),(90,1),(92,1),(114,1)}
        75:{2,3,5,6,7}:{(58,1),(91,1),(92,1),(115,1),(123,1)}
        76:{2,3,6,7}:{(60,1),(63,1)}
        77:{2,3,5,7}:{(61,1),(62,1),(64,1),(94,1),(97,1)}
        78:{2,4,5,6}:{(62,1),(94,1),(95,1)}
        79:{1,2,5,6,7}:{(63,1),(64,1),(70,1),(93,1)}
        80:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(71,1),(94,1),(97,1),(106,1),(125,1),(130,1)}
        81:{3,5,6}:{(65,1),(67,1),(97,1)}
        82:{3,4,6,7}:{(66,1),(67,1),(97,1)}
        83:{1,3,4,6}:{(67,1),(68,1),(98,1),(102,1)}
        84:{2,3,4,6}:{(67,1),(69,1),(99,1),(102,1)}
        85:{1,2,4,5,7}:{(68,1),(69,1),(102,1),(103,1),(130,1),(149,1),(150,1)}
        86:{1,4,5,6,7}:{(70,1),(71,1),(104,1)}
        87:{3,4,5,7}:{(71,1),(72,1),(73,1),(97,1),(106,1)}
        88:{1,3,4,5,6}:{(72,1),(98,1),(105,1),(107,1),(148,1)}
        89:{2,4,5,6}:{(72,1),(99,1),(106,1)}
        90:{1,3,4,6,7}:{(73,1),(74,1),(105,1),(108,1)}
        91:{2,4,6,7}:{(73,1),(75,1),(106,1)}
        92:{1,2,5,6,7}:{(74,1),(75,1),(108,1),(130,1)}
        93:{2,3,5,6,7}:{(76,1),(77,1),(79,1),(109,1),(113,1)}
        94:{2,4,5,7}:{(77,1),(78,1),(109,1),(110,1)}
        95:{3,4,5,6}:{(78,1),(81,1),(110,1),(111,1)}
        96:{1,2,4,5,6,7}:{(79,1),(80,1),(86,1),(109,1),(113,1),(120,1),(136,1),(140,1)}
        97:{3,5,7}:{(80,1),(81,1),(82,1)}
        98:{1,3,5,6}:{(81,1),(83,1),(111,1),(114,1),(116,1)}
        99:{2,3,5,6}:{(81,1),(84,1),(89,1),(115,1),(116,1)}
       100:{1,3,4,6,7}:{(82,1),(83,1),(114,1),(117,1),(136,1),(151,1),(152,1)}
       101:{2,3,4,6,7}:{(82,1),(84,1),(91,1),(115,1),(117,1),(123,1),(144,1)}
       102:{1,2,4,6}:{(83,1),(84,1),(85,1),(116,1),(118,1)}
       103:{1,2,3,5,7}:{(85,1),(118,1),(119,1),(143,1)}
       104:{3,4,5,6,7}:{(86,1),(87,1),(113,1),(120,1)}
       105:{1,3,4,5,7}:{(87,1),(88,1),(90,1),(114,1),(121,1),(152,1)}
       106:{2,4,5,7}:{(87,1),(89,1),(91,1),(115,1)}
       107:{1,2,4,5,6}:{(88,1),(89,1),(116,1),(121,1),(122,1),(142,1)}
       108:{1,2,4,6,7}:{(90,1),(91,1),(92,1),(121,1),(123,1)}
       109:{2,4,6,7}:{(93,1),(94,1),(124,1)}
       110:{3,4,5,7}:{(94,1),(95,1),(97,1),(124,1),(125,1)}
       111:{1,4,5,6}:{(95,1),(98,1),(125,1)}
       112:{2,3,4,5,6}:{(95,1),(99,1),(126,1),(127,1),(135,1)}
       113:{3,5,6,7}:{(96,1),(97,1),(124,1)}
       114:{1,3,5,7}:{(97,1),(98,1),(100,1),(125,1),(130,1)}
       115:{2,3,5,7}:{(97,1),(99,1),(101,1),(106,1),(130,1)}
       116:{1,2,5,6}:{(98,1),(99,1),(102,1),(130,1)}
       117:{1,2,4,6,7}:{(100,1),(101,1),(102,1),(130,1),(132,1),(149,1)}
       118:{1,2,3,6}:{(102,1),(103,1)}
       119:{1,2,3,4,7}:{(103,1),(133,1),(149,1)}
       120:{2,4,5,6,7}:{(104,1),(106,1),(129,1)}
       121:{1,2,4,5,7}:{(105,1),(106,1),(107,1),(108,1),(130,1),(134,1),(149,1)}
       122:{2,3,5,6}:{(107,1),(134,1),(135,1)}
       123:{2,3,6,7}:{(108,1),(134,1)}
       124:{3,4,6,7}:{(109,1),(110,1),(113,1),(136,1)}
       125:{1,4,5,7}:{(110,1),(111,1),(114,1),(136,1)}
       126:{2,3,4,5,7}:{(110,1),(112,1),(115,1),(137,1),(138,1),(144,1)}
       127:{1,2,4,5,6}:{(111,1),(112,1),(116,1),(138,1),(139,1),(142,1)}
       128:{1,3,5,6,7}:{(113,1),(114,1),(136,1),(140,1),(151,1)}
       129:{2,3,5,6,7}:{(113,1),(115,1),(120,1),(137,1),(140,1)}
       130:{1,2,5,7}:{(114,1),(115,1),(116,1),(117,1)}
       131:{1,2,3,5,6}:{(116,1),(118,1),(122,1),(139,1),(141,1),(142,1),(143,1)}
       132:{1,2,3,6,7}:{(117,1),(118,1),(123,1),(141,1),(151,1)}
       133:{1,2,3,4,6}:{(118,1),(119,1),(142,1),(143,1)}
       134:{2,3,5,7}:{(121,1),(122,1),(123,1),(144,1)}
       135:{2,3,4,6}:{(122,1),(142,1),(144,1),(145,1)}
       136:{1,4,6,7}:{(124,1),(125,1),(128,1)}
       137:{2,3,4,6,7}:{(124,1),(126,1),(129,1),(146,1)}
       138:{1,2,4,5,7}:{(125,1),(126,1),(127,1),(130,1),(146,1),(147,1),(149,1)}
       139:{1,3,5,6}:{(127,1),(147,1),(148,1)}
       140:{1,2,5,6,7}:{(128,1),(129,1),(130,1),(146,1)}
       141:{1,2,3,5,7}:{(130,1),(131,1),(132,1),(134,1),(147,1),(149,1)}
       142:{1,2,4,6}:{(131,1),(135,1),(148,1),(149,1),(150,1)}
       143:{1,2,3,5}:{(133,1),(150,1)}
       144:{2,3,4,7}:{(134,1),(135,1),(149,1)}
       145:{2,3,4,5}:{(135,1),(150,1)}
       146:{1,2,4,6,7}:{(136,1),(137,1),(138,1),(140,1),(151,1)}
       147:{1,3,5,7}:{(138,1),(139,1),(151,1),(152,1)}
       148:{1,3,4,6}:{(139,1),(142,1),(152,1),(153,1)}
       149:{1,2,4,7}:{(141,1),(142,1),(144,1),(152,1)}
       150:{1,2,4,5}:{(142,1),(143,1),(145,1),(153,1)}
       151:{1,3,6,7}:{(146,1),(147,1)}
       152:{1,3,4,7}:{(147,1),(148,1),(149,1)}
       153:{1,3,4,5}:{(148,1),(150,1)}

2015 :   0:{1,3,4,5,6}:{(2,1),(3,1),(36,1),(59,1),(88,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(20,1),(95,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(44,1),(47,1),(75,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(24,1),(73,1),(76,1)}
         4:{1,4,5,6,7}:{(1,1),(9,1),(87,1)}
         5:{2,4,5,6,7}:{(1,1),(10,1),(100,1)}
         6:{1,3,4,6,7}:{(2,1),(9,1),(12,1),(31,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(12,1),(13,1),(34,1),(57,1),(61,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1)}
         9:{1,3,5,6,7}:{(4,1),(6,1),(18,1),(20,1),(75,1)}
        10:{2,3,5,6,7}:{(5,1),(17,1),(19,1),(20,1),(93,1)}
        11:{1,2,4,5,6,7}:{(4,1),(5,1),(18,1),(19,1),(20,1),(42,1),(43,1),(72,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(18,1),(21,1),(42,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(21,1),(23,1)}
        14:{1,2,3,5,6}:{(8,1),(22,1),(24,1),(50,1),(76,1),(77,1)}
        15:{2,3,4,6}:{(8,1),(23,1),(24,1),(25,1)}
        16:{2,3,4,5,6}:{(26,1),(27,1),(59,1),(80,1),(101,1)}
        17:{2,3,4,6,7}:{(10,1),(26,1),(28,1),(31,1)}
        18:{1,2,5,6,7}:{(9,1),(12,1),(29,1),(61,1)}
        19:{1,2,5,6,7}:{(10,1),(28,1),(30,1),(83,1)}
        20:{3,5,6,7}:{(11,1),(31,1),(85,1)}
        21:{2,3,6,7}:{(12,1),(13,1)}
        22:{1,2,3,5,7}:{(13,1),(14,1),(32,1),(34,1),(61,1),(63,1)}
        23:{2,3,4,7}:{(13,1),(15,1),(34,1)}
        24:{1,2,4,6}:{(14,1),(15,1),(34,1),(36,1),(37,1)}
        25:{2,3,4,5}:{(15,1),(37,1)}
        26:{2,3,4,5,7}:{(16,1),(17,1),(38,1),(44,1),(89,1),(93,1)}
        27:{1,2,4,5,6}:{(16,1),(38,1),(39,1),(67,1),(74,1),(94,1)}
        28:{1,2,4,6,7}:{(17,1),(19,1),(38,1),(40,1),(43,1)}
        29:{2,3,5,6,7}:{(18,1),(20,1),(21,1),(42,1),(46,1)}
        30:{1,3,5,6,7}:{(19,1),(20,1),(40,1),(43,1),(70,1)}
        31:{3,4,6,7}:{(20,1),(42,1),(43,1),(44,1)}
        32:{1,2,3,6,7}:{(21,1),(22,1),(45,1),(77,1)}
        33:{2,3,4,6,7}:{(21,1),(23,1),(42,1),(45,1),(46,1),(49,1),(71,1)}
        34:{1,2,4,7}:{(22,1),(23,1),(24,1),(47,1)}
        35:{2,3,4,5,7}:{(23,1),(25,1),(46,1),(48,1),(49,1),(95,1)}
        36:{1,3,4,6}:{(24,1),(47,1),(50,1),(77,1)}
        37:{1,2,4,5}:{(24,1),(25,1),(50,1)}
        38:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(51,1),(58,1),(78,1),(83,1)}
        39:{1,3,5,6}:{(27,1),(51,1),(53,1)}
        40:{1,3,6,7}:{(28,1),(51,1)}
        41:{1,2,3,5,6,7}:{(29,1),(30,1),(32,1),(54,1),(56,1),(61,1),(83,1),(85,1),(88,1),(101,1)}
        42:{2,4,6,7}:{(29,1),(31,1),(57,1)}
        43:{1,4,6,7}:{(30,1),(31,1),(58,1)}
        44:{3,4,5,7}:{(31,1),(57,1),(58,1),(59,1),(85,1)}
        45:{1,2,4,6,7}:{(32,1),(33,1),(34,1),(60,1),(61,1),(64,1)}
        46:{2,3,5,7}:{(33,1),(57,1),(61,1),(62,1),(85,1)}
        47:{1,3,4,7}:{(34,1),(36,1),(63,1)}
        48:{1,2,4,5,7}:{(34,1),(35,1),(37,1),(61,1),(63,1),(64,1),(87,1)}
        49:{2,3,4,6}:{(35,1),(62,1),(64,1),(102,1)}
        50:{1,3,5}:{(36,1),(37,1)}
        51:{1,3,5,7}:{(38,1),(39,1),(40,1),(66,1)}
        52:{1,2,3,5,6}:{(39,1),(65,1),(67,1),(92,1),(94,1),(103,1)}
        53:{1,3,4,6}:{(39,1),(66,1),(67,1),(68,1)}
        54:{1,2,3,6,7}:{(40,1),(65,1),(69,1),(103,1)}
        55:{1,3,4,6,7}:{(40,1),(43,1),(66,1),(69,1),(70,1),(71,1),(91,1)}
        56:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(71,1),(72,1),(97,1),(104,1)}
        57:{2,4,5,7}:{(42,1),(44,1),(46,1),(73,1)}
        58:{1,4,5,7}:{(43,1),(44,1),(70,1),(74,1)}
        59:{3,4,5,6}:{(44,1),(73,1),(74,1),(96,1)}
        60:{1,3,4,6,7}:{(45,1),(47,1),(71,1),(75,1),(77,1),(97,1)}
        61:{1,2,5,7}:{(45,1),(46,1),(75,1),(76,1)}
        62:{2,3,5,6}:{(46,1),(49,1),(73,1),(76,1),(96,1)}
        63:{1,3,5,7}:{(47,1),(48,1),(50,1),(77,1)}
        64:{1,2,4,6}:{(48,1),(49,1),(76,1),(77,1),(97,1)}
        65:{1,2,3,5,7}:{(51,1),(52,1),(54,1),(78,1),(83,1),(98,1)}
        66:{1,3,4,7}:{(51,1),(53,1),(78,1)}
        67:{1,2,4,6}:{(52,1),(53,1),(78,1),(80,1),(81,1)}
        68:{1,3,4,5}:{(53,1),(81,1)}
        69:{1,2,4,6,7}:{(54,1),(55,1),(78,1),(82,1),(83,1),(99,1)}
        70:{1,3,5,7}:{(55,1),(58,1),(83,1),(84,1),(85,1)}
        71:{3,4,6,7}:{(56,1),(85,1),(102,1)}
        72:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(61,1),(83,1),(85,1),(86,1),(87,1),(100,1)}
        73:{2,4,5,6}:{(57,1),(59,1),(62,1)}
        74:{1,4,5,6}:{(58,1),(59,1),(84,1)}
        75:{1,3,5,7}:{(60,1),(61,1),(85,1),(87,1),(88,1)}
        76:{1,2,5,6}:{(61,1),(62,1),(64,1),(88,1)}
        77:{1,3,6}:{(63,1),(64,1)}
        78:{1,2,4,7}:{(65,1),(66,1),(67,1),(89,1)}
        79:{1,3,4,5,7}:{(66,1),(68,1),(70,1),(90,1),(91,1),(95,1)}
        80:{2,3,4,6}:{(67,1),(89,1),(92,1),(103,1)}
        81:{1,2,4,5}:{(67,1),(68,1),(92,1)}
        82:{2,3,4,6,7}:{(69,1),(71,1),(89,1),(93,1),(103,1),(104,1)}
        83:{1,2,5,7}:{(69,1),(70,1),(93,1),(94,1)}
        84:{1,3,5,6}:{(70,1),(74,1),(91,1),(94,1),(96,1)}
        85:{3,5,7}:{(71,1),(72,1),(96,1)}
        86:{1,2,4,5,6}:{(72,1),(73,1),(74,1),(76,1),(94,1),(96,1),(97,1),(104,1)}
        87:{1,4,5,7}:{(75,1),(95,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(77,1),(96,1),(97,1)}
        89:{2,3,4,7}:{(78,1),(80,1),(98,1)}
        90:{1,2,4,5,7}:{(78,1),(79,1),(81,1),(83,1),(98,1),(99,1),(100,1)}
        91:{1,3,4,6}:{(79,1),(84,1),(99,1),(102,1)}
        92:{2,3,5}:{(80,1),(81,1)}
        93:{2,3,5,7}:{(82,1),(83,1),(85,1),(100,1),(101,1)}
        94:{1,2,5,6}:{(83,1),(84,1),(99,1),(101,1)}
        95:{3,4,5,7}:{(85,1),(87,1),(100,1),(102,1)}
        96:{3,5,6}:{(85,1),(86,1),(102,1)}
        97:{1,4,6}:{(87,1),(88,1),(102,1)}
        98:{2,3,5,7}:{(89,1),(90,1),(92,1),(103,1)}
        99:{1,2,4,6}:{(90,1),(91,1),(94,1),(103,1),(104,1)}
       100:{2,4,5,7}:{(93,1),(95,1),(104,1)}
       101:{2,3,5,6}:{(93,1),(94,1),(96,1),(103,1),(104,1)}
       102:{3,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       103:{2,3,6}:{(98,1),(99,1)}
       104:{2,4,6}:{(100,1),(101,1),(102,1)}

2016 :   0:{1,3,4,5,6}:{(1,1),(2,1),(20,1),(66,1),(75,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(54,1),(62,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(60,1),(63,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(50,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(47,1),(51,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(30,1),(55,1),(60,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(37,1),(78,1)}
         8:{1,3,5,6,7}:{(3,1),(14,1),(16,1),(37,1),(54,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(38,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{2,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(43,1),(47,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(8,1),(65,1)}
        15:{2,4,5,6,7}:{(7,1),(24,1),(88,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(47,1)}
        17:{2,3,6,7}:{(9,1),(10,1)}
        18:{2,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{2,3,4,5}:{(11,1),(23,1)}
        20:{1,3,4,6}:{(13,1),(29,1),(30,1),(55,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(34,1),(55,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(29,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(30,1)}
        24:{2,3,5,6,7}:{(15,1),(32,1),(36,1),(37,1),(83,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(36,1),(37,1),(38,1),(59,1),(61,1)}
        26:{2,3,5,6,7}:{(16,1),(17,1),(37,1),(38,1),(39,1)}
        27:{2,3,4,6,7}:{(17,1),(18,1),(34,1),(38,1),(39,1),(40,1),(58,1)}
        28:{2,3,4,5,7}:{(18,1),(19,1),(35,1),(39,1),(40,1),(78,1)}
        29:{1,3,4,7}:{(20,1),(22,1),(43,1)}
        30:{1,3,5}:{(20,1),(23,1)}
        31:{2,3,4,5,6}:{(41,1),(44,1),(75,1),(91,1),(94,1)}
        32:{2,3,4,6,7}:{(24,1),(41,1),(45,1),(50,1)}
        33:{1,2,3,5,6,7}:{(21,1),(26,1),(46,1),(47,1),(49,1),(66,1),(69,1),(72,1),(93,1),(94,1)}
        34:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(42,1),(47,1),(48,1)}
        35:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(43,1),(47,1),(48,1),(65,1)}
        36:{1,2,5,6,7}:{(24,1),(45,1),(49,1),(93,1)}
        37:{3,5,6,7}:{(25,1),(50,1),(72,1)}
        38:{2,4,6,7}:{(26,1),(50,1),(51,1)}
        39:{2,3,5,7}:{(27,1),(47,1),(51,1),(52,1),(72,1)}
        40:{2,3,4,6}:{(28,1),(48,1),(52,1),(90,1)}
        41:{2,3,4,5,7}:{(31,1),(32,1),(53,1),(62,1),(83,1),(96,1)}
        42:{1,3,4,6,7}:{(29,1),(34,1),(54,1),(55,1),(58,1),(79,1)}
        43:{1,3,5,7}:{(29,1),(30,1),(35,1),(55,1)}
        44:{1,2,4,5,6}:{(31,1),(53,1),(56,1),(80,1),(86,1),(101,1)}
        45:{1,2,4,6,7}:{(32,1),(36,1),(53,1),(57,1),(61,1)}
        46:{1,2,4,6,7}:{(33,1),(38,1),(58,1),(59,1),(61,1),(79,1),(98,1)}
        47:{1,2,5,7}:{(34,1),(39,1),(54,1),(60,1)}
        48:{1,2,4,6}:{(35,1),(40,1),(55,1),(60,1),(79,1)}
        49:{1,3,5,6,7}:{(36,1),(37,1),(57,1),(61,1),(84,1)}
        50:{3,4,6,7}:{(37,1),(38,1),(61,1),(62,1)}
        51:{2,4,5,7}:{(38,1),(39,1),(62,1),(63,1)}
        52:{2,3,5,6}:{(39,1),(40,1),(60,1),(63,1),(85,1)}
        53:{1,2,4,5,7}:{(41,1),(44,1),(45,1),(64,1),(74,1),(87,1),(93,1)}
        54:{1,3,5,7}:{(42,1),(47,1),(65,1),(66,1),(72,1)}
        55:{1,3,6}:{(43,1),(48,1)}
        56:{1,3,5,6}:{(44,1),(64,1),(68,1)}
        57:{1,3,6,7}:{(45,1),(64,1)}
        58:{3,4,6,7}:{(46,1),(72,1),(90,1)}
        59:{1,2,4,5,7}:{(46,1),(47,1),(51,1),(65,1),(72,1),(73,1),(74,1),(88,1),(93,1)}
        60:{1,2,5,6}:{(47,1),(48,1),(52,1),(66,1)}
        61:{1,4,6,7}:{(49,1),(50,1),(74,1)}
        62:{3,4,5,7}:{(50,1),(51,1),(72,1),(74,1),(75,1)}
        63:{2,4,5,6}:{(51,1),(52,1),(75,1)}
        64:{1,3,5,7}:{(53,1),(56,1),(57,1),(77,1)}
        65:{1,4,5,7}:{(54,1),(78,1),(79,1)}
        66:{1,3,5,6}:{(54,1),(55,1),(60,1),(79,1),(85,1)}
        67:{1,2,3,5,6}:{(56,1),(76,1),(80,1),(100,1),(101,1),(104,1)}
        68:{1,3,4,6}:{(56,1),(77,1),(80,1),(81,1)}
        69:{1,2,3,6,7}:{(57,1),(76,1),(82,1),(104,1)}
        70:{2,3,4,6,7}:{(58,1),(82,1),(83,1),(96,1),(98,1),(104,1)}
        71:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(77,1),(82,1),(84,1),(99,1)}
        72:{3,5,7}:{(58,1),(59,1),(85,1)}
        73:{1,2,4,5,6}:{(59,1),(60,1),(63,1),(79,1),(85,1),(86,1),(98,1),(101,1)}
        74:{1,4,5,7}:{(61,1),(62,1),(84,1),(86,1)}
        75:{3,4,5,6}:{(62,1),(63,1),(85,1),(86,1)}
        76:{1,2,3,5,7}:{(64,1),(67,1),(69,1),(87,1),(93,1),(102,1)}
        77:{1,3,4,7}:{(64,1),(68,1),(87,1)}
        78:{3,4,5,7}:{(65,1),(72,1),(88,1),(90,1)}
        79:{1,4,6}:{(65,1),(66,1),(90,1)}
        80:{1,2,4,6}:{(67,1),(68,1),(87,1),(91,1),(92,1)}
        81:{1,3,4,5}:{(68,1),(92,1)}
        82:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(87,1),(93,1),(103,1)}
        83:{2,3,5,7}:{(70,1),(72,1),(88,1),(93,1),(94,1)}
        84:{1,3,5,7}:{(71,1),(72,1),(74,1),(93,1),(95,1)}
        85:{3,5,6}:{(72,1),(73,1),(90,1)}
        86:{1,4,5,6}:{(74,1),(75,1),(95,1)}
        87:{1,2,4,7}:{(76,1),(77,1),(80,1),(96,1)}
        88:{2,4,5,7}:{(78,1),(83,1),(98,1)}
        89:{1,3,4,5,7}:{(77,1),(78,1),(81,1),(84,1),(97,1),(99,1)}
        90:{3,4,6}:{(78,1),(79,1),(85,1),(98,1)}
        91:{2,3,4,6}:{(80,1),(96,1),(100,1),(104,1)}
        92:{1,2,4,5}:{(80,1),(81,1),(100,1)}
        93:{1,2,5,7}:{(82,1),(83,1),(84,1),(101,1)}
        94:{2,3,5,6}:{(83,1),(85,1),(98,1),(101,1),(104,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(86,1),(99,1),(101,1)}
        96:{2,3,4,7}:{(87,1),(91,1),(102,1)}
        97:{1,2,4,5,7}:{(87,1),(88,1),(89,1),(92,1),(93,1),(102,1),(103,1)}
        98:{2,4,6}:{(88,1),(90,1),(94,1)}
        99:{1,3,4,6}:{(89,1),(90,1),(95,1),(103,1)}
       100:{2,3,5}:{(91,1),(92,1)}
       101:{1,2,5,6}:{(93,1),(94,1),(95,1),(103,1)}
       102:{2,3,5,7}:{(96,1),(97,1),(100,1),(104,1)}
       103:{1,2,4,6}:{(97,1),(98,1),(99,1),(101,1),(104,1)}
       104:{2,3,6}:{(102,1),(103,1)}

2017 :   0:{1,3,4,5,6}:{(2,1),(3,1),(31,1),(62,1),(72,1)}
         1:{1,2,3,4,6}:{(4,1),(5,1),(20,1),(23,1)}
         2:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(20,1),(50,1),(56,1)}
         3:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(46,1),(77,1),(87,1)}
         4:{1,2,3,5}:{(1,1),(10,1)}
         5:{1,2,3,4,7}:{(1,1),(12,1),(34,1)}
         6:{2,3,4,5}:{(10,1),(14,1)}
         7:{2,3,5,6}:{(2,1),(14,1),(16,1)}
         8:{1,2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(34,1),(64,1),(71,1)}
         9:{1,3,4,6,7}:{(3,1),(17,1),(18,1),(73,1)}
        10:{1,2,4,5}:{(4,1),(6,1),(19,1),(20,1)}
        11:{1,2,3,5,6}:{(4,1),(7,1),(20,1),(22,1),(23,1),(45,1),(50,1)}
        12:{1,2,3,5,7}:{(4,1),(5,1),(21,1),(23,1)}
        13:{1,2,3,4,6,7}:{(5,1),(23,1),(24,1),(49,1),(52,1),(82,1),(117,1),(118,1),(119,1)}
        14:{2,3,4,6}:{(6,1),(7,1),(20,1),(26,1)}
        15:{2,3,4,5,7}:{(6,1),(21,1),(26,1),(27,1),(53,1),(55,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(26,1),(28,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(28,1),(29,1),(57,1)}
        18:{1,3,5,6,7}:{(9,1),(29,1),(30,1),(58,1),(77,1)}
        19:{1,3,4,5}:{(10,1),(31,1)}
        20:{1,2,4,6}:{(10,1),(11,1),(14,1),(31,1),(34,1)}
        21:{1,2,4,5,7}:{(10,1),(12,1),(15,1),(32,1),(34,1),(35,1),(64,1)}
        22:{1,2,3,5,7}:{(11,1),(16,1),(34,1),(36,1),(60,1),(64,1)}
        23:{1,2,3,6}:{(12,1),(35,1)}
        24:{1,2,3,5,7}:{(13,1),(37,1),(38,1),(64,1),(97,1),(130,1)}
        25:{2,3,4,5,6}:{(14,1),(33,1),(39,1),(41,1),(95,1)}
        26:{2,3,4,7}:{(14,1),(16,1),(34,1)}
        27:{2,3,4,6}:{(15,1),(35,1),(41,1),(67,1)}
        28:{2,3,6,7}:{(16,1),(17,1)}
        29:{1,2,5,6,7}:{(17,1),(18,1),(42,1),(64,1)}
        30:{1,4,5,6,7}:{(18,1),(44,1),(94,1)}
        31:{1,3,4,6}:{(19,1),(20,1),(45,1),(46,1)}
        32:{1,3,4,5,7}:{(19,1),(21,1),(46,1),(47,1),(53,1),(77,1)}
        33:{1,2,4,5,6}:{(20,1),(25,1),(45,1),(48,1),(50,1),(78,1)}
        34:{1,2,4,7}:{(20,1),(22,1),(26,1),(46,1)}
        35:{1,2,4,6}:{(21,1),(23,1),(27,1),(47,1),(50,1)}
        36:{1,2,3,6,7}:{(22,1),(23,1),(28,1),(49,1),(76,1)}
        37:{1,2,3,5,6}:{(23,1),(24,1),(50,1),(52,1),(81,1),(116,1),(118,1)}
        38:{1,2,4,5,7}:{(24,1),(52,1),(53,1)}
        39:{2,3,4,5,7}:{(25,1),(26,1),(48,1),(54,1),(55,1),(110,1)}
        40:{2,3,4,6,7}:{(26,1),(27,1),(28,1),(49,1),(55,1),(57,1),(82,1)}
        41:{2,3,5,6}:{(27,1),(50,1),(55,1),(56,1),(81,1)}
        42:{2,3,5,6,7}:{(28,1),(29,1),(55,1),(57,1),(58,1)}
        43:{1,2,4,5,6,7}:{(29,1),(30,1),(57,1),(58,1),(59,1),(80,1),(90,1),(92,1)}
        44:{3,4,5,6,7}:{(30,1),(58,1),(59,1),(110,1)}
        45:{1,3,5,6}:{(31,1),(33,1),(60,1)}
        46:{1,3,4,7}:{(31,1),(34,1),(60,1)}
        47:{1,3,4,6}:{(32,1),(35,1),(62,1),(67,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(39,1),(60,1),(63,1),(64,1),(94,1)}
        49:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(40,1),(61,1),(64,1)}
        50:{1,2,5,6}:{(35,1),(41,1),(62,1),(64,1)}
        51:{1,2,3,5,6,7}:{(36,1),(37,1),(42,1),(64,1),(66,1),(74,1),(93,1),(97,1),(129,1),(130,1),(132,1)}
        52:{1,2,4,6}:{(37,1),(38,1),(67,1)}
        53:{3,4,5,7}:{(38,1),(67,1),(97,1)}
        54:{2,3,4,6,7}:{(39,1),(63,1),(70,1),(124,1)}
        55:{2,3,5,7}:{(40,1),(41,1),(64,1),(71,1),(97,1)}
        56:{2,4,5,6}:{(41,1),(71,1),(72,1)}
        57:{2,4,6,7}:{(42,1),(71,1),(73,1)}
        58:{3,5,6,7}:{(43,1),(73,1),(97,1)}
        59:{2,4,5,6,7}:{(44,1),(75,1),(126,1)}
        60:{1,3,5,7}:{(45,1),(46,1),(48,1),(76,1)}
        61:{1,3,4,6,7}:{(46,1),(47,1),(49,1),(76,1),(77,1),(82,1),(109,1)}
        62:{1,3,5,6}:{(47,1),(50,1),(77,1),(78,1),(81,1)}
        63:{1,2,4,6,7}:{(48,1),(54,1),(76,1),(79,1),(109,1)}
        64:{1,2,5,7}:{(49,1),(50,1),(55,1),(77,1)}
        65:{1,2,4,5,6}:{(50,1),(52,1),(56,1),(78,1),(80,1),(81,1),(88,1),(112,1),(116,1)}
        66:{1,2,4,6,7}:{(51,1),(52,1),(57,1),(80,1),(82,1),(90,1),(109,1),(137,1)}
        67:{3,4,6}:{(52,1),(53,1),(81,1)}
        68:{1,3,4,5,7}:{(53,1),(83,1),(85,1),(114,1),(144,1),(145,1)}
        69:{2,3,4,5,7}:{(53,1),(84,1),(85,1),(115,1),(152,1),(153,1)}
        70:{2,3,5,6,7}:{(54,1),(55,1),(79,1),(86,1),(113,1)}
        71:{2,4,5,7}:{(55,1),(56,1),(57,1),(87,1)}
        72:{3,4,5,6}:{(56,1),(81,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(57,1),(58,1),(87,1),(90,1)}
        74:{1,3,5,6,7}:{(58,1),(90,1),(92,1),(114,1),(123,1)}
        75:{2,3,5,6,7}:{(58,1),(59,1),(91,1),(92,1),(115,1)}
        76:{1,3,6,7}:{(60,1),(63,1)}
        77:{1,3,5,7}:{(61,1),(62,1),(64,1),(94,1),(97,1)}
        78:{1,4,5,6}:{(62,1),(94,1),(95,1)}
        79:{1,2,5,6,7}:{(63,1),(64,1),(70,1),(93,1)}
        80:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(71,1),(94,1),(97,1),(105,1),(126,1),(130,1)}
        81:{3,5,6}:{(65,1),(67,1),(97,1)}
        82:{3,4,6,7}:{(66,1),(67,1),(97,1)}
        83:{1,3,4,6}:{(67,1),(68,1),(98,1),(102,1)}
        84:{2,3,4,6}:{(67,1),(69,1),(99,1),(102,1)}
        85:{1,2,4,5,7}:{(68,1),(69,1),(102,1),(103,1),(130,1),(149,1),(150,1)}
        86:{2,4,5,6,7}:{(70,1),(71,1),(104,1)}
        87:{3,4,5,7}:{(71,1),(72,1),(73,1),(97,1),(105,1)}
        88:{1,4,5,6}:{(72,1),(98,1),(105,1)}
        89:{2,3,4,5,6}:{(72,1),(99,1),(106,1),(107,1),(148,1)}
        90:{1,4,6,7}:{(73,1),(74,1),(105,1)}
        91:{2,3,4,6,7}:{(73,1),(75,1),(106,1),(108,1)}
        92:{1,2,5,6,7}:{(74,1),(75,1),(108,1),(130,1)}
        93:{1,3,5,6,7}:{(76,1),(77,1),(79,1),(109,1),(113,1)}
        94:{1,4,5,7}:{(77,1),(78,1),(109,1),(110,1)}
        95:{3,4,5,6}:{(78,1),(81,1),(110,1),(112,1)}
        96:{1,2,4,5,6,7}:{(79,1),(80,1),(86,1),(109,1),(113,1),(120,1),(137,1),(140,1)}
        97:{3,5,7}:{(80,1),(81,1),(82,1)}
        98:{1,3,5,6}:{(81,1),(83,1),(88,1),(114,1),(116,1)}
        99:{2,3,5,6}:{(81,1),(84,1),(112,1),(115,1),(116,1)}
       100:{1,3,4,6,7}:{(82,1),(83,1),(90,1),(114,1),(117,1),(123,1),(144,1)}
       101:{2,3,4,6,7}:{(82,1),(84,1),(115,1),(117,1),(137,1),(151,1),(152,1)}
       102:{1,2,4,6}:{(83,1),(84,1),(85,1),(116,1),(118,1)}
       103:{1,2,3,5,7}:{(85,1),(118,1),(119,1),(143,1)}
       104:{3,4,5,6,7}:{(86,1),(87,1),(113,1),(120,1)}
       105:{1,4,5,7}:{(87,1),(88,1),(90,1),(114,1)}
       106:{2,3,4,5,7}:{(87,1),(89,1),(91,1),(115,1),(121,1),(152,1)}
       107:{1,2,4,5,6}:{(88,1),(89,1),(116,1),(121,1),(122,1),(142,1)}
       108:{1,2,4,6,7}:{(90,1),(91,1),(92,1),(121,1),(123,1)}
       109:{1,4,6,7}:{(93,1),(94,1),(124,1)}
       110:{3,4,5,7}:{(94,1),(95,1),(97,1),(124,1),(126,1)}
       111:{1,3,4,5,6}:{(95,1),(98,1),(125,1),(127,1),(135,1)}
       112:{2,4,5,6}:{(95,1),(99,1),(126,1)}
       113:{3,5,6,7}:{(96,1),(97,1),(124,1)}
       114:{1,3,5,7}:{(97,1),(98,1),(100,1),(105,1),(130,1)}
       115:{2,3,5,7}:{(97,1),(99,1),(101,1),(126,1),(130,1)}
       116:{1,2,5,6}:{(98,1),(99,1),(102,1),(130,1)}
       117:{1,2,4,6,7}:{(100,1),(101,1),(102,1),(130,1),(132,1),(149,1)}
       118:{1,2,3,6}:{(102,1),(103,1)}
       119:{1,2,3,4,7}:{(103,1),(133,1),(149,1)}
       120:{1,4,5,6,7}:{(104,1),(105,1),(128,1)}
       121:{1,2,4,5,7}:{(105,1),(106,1),(107,1),(108,1),(130,1),(134,1),(149,1)}
       122:{1,3,5,6}:{(107,1),(134,1),(135,1)}
       123:{1,3,6,7}:{(108,1),(134,1)}
       124:{3,4,6,7}:{(109,1),(110,1),(113,1),(137,1)}
       125:{1,3,4,5,7}:{(110,1),(111,1),(114,1),(136,1),(138,1),(144,1)}
       126:{2,4,5,7}:{(110,1),(112,1),(115,1),(137,1)}
       127:{1,2,4,5,6}:{(111,1),(112,1),(116,1),(138,1),(139,1),(142,1)}
       128:{1,3,5,6,7}:{(113,1),(114,1),(120,1),(136,1),(140,1)}
       129:{2,3,5,6,7}:{(113,1),(115,1),(137,1),(140,1),(151,1)}
       130:{1,2,5,7}:{(114,1),(115,1),(116,1),(117,1)}
       131:{1,2,3,5,6}:{(116,1),(118,1),(122,1),(139,1),(141,1),(142,1),(143,1)}
       132:{1,2,3,6,7}:{(117,1),(118,1),(123,1),(141,1),(151,1)}
       133:{1,2,3,4,6}:{(118,1),(119,1),(142,1),(143,1)}
       134:{1,3,5,7}:{(121,1),(122,1),(123,1),(144,1)}
       135:{1,3,4,6}:{(122,1),(142,1),(144,1),(145,1)}
       136:{1,3,4,6,7}:{(124,1),(125,1),(128,1),(146,1)}
       137:{2,4,6,7}:{(124,1),(126,1),(129,1)}
       138:{1,2,4,5,7}:{(125,1),(126,1),(127,1),(130,1),(146,1),(147,1),(149,1)}
       139:{2,3,5,6}:{(127,1),(147,1),(148,1)}
       140:{1,2,5,6,7}:{(128,1),(129,1),(130,1),(146,1)}
       141:{1,2,3,5,7}:{(130,1),(131,1),(132,1),(134,1),(147,1),(149,1)}
       142:{1,2,4,6}:{(131,1),(135,1),(148,1),(149,1),(150,1)}
       143:{1,2,3,5}:{(133,1),(150,1)}
       144:{1,3,4,7}:{(134,1),(135,1),(149,1)}
       145:{1,3,4,5}:{(135,1),(150,1)}
       146:{1,2,4,6,7}:{(136,1),(137,1),(138,1),(140,1),(151,1)}
       147:{2,3,5,7}:{(138,1),(139,1),(151,1),(152,1)}
       148:{2,3,4,6}:{(139,1),(142,1),(152,1),(153,1)}
       149:{1,2,4,7}:{(141,1),(142,1),(144,1),(152,1)}
       150:{1,2,4,5}:{(142,1),(143,1),(145,1),(153,1)}
       151:{2,3,6,7}:{(146,1),(147,1)}
       152:{2,3,4,7}:{(147,1),(148,1),(149,1)}
       153:{2,3,4,5}:{(148,1),(150,1)}

2018 :   0:{3,4,5,6,7}:{(1,1),(2,1),(16,1),(94,1)}
         1:{1,4,5,6,7}:{(0,1),(5,1),(98,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(100,1)}
         3:{1,3,4,5,6}:{(8,1),(10,1),(53,1),(58,1),(99,1)}
         4:{2,3,4,5,6}:{(9,1),(11,1),(53,1),(60,1),(101,1)}
         5:{1,3,5,6,7}:{(1,1),(12,1),(14,1),(16,1),(90,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(15,1),(16,1),(92,1)}
         7:{1,2,4,5,6,7}:{(1,1),(2,1),(14,1),(15,1),(16,1),(35,1),(36,1),(67,1)}
         8:{1,3,4,5,7}:{(3,1),(12,1),(17,1),(37,1),(70,1),(90,1)}
         9:{2,3,4,5,7}:{(4,1),(13,1),(18,1),(37,1),(73,1),(92,1)}
        10:{1,2,4,5,6}:{(3,1),(17,1),(19,1),(42,1),(68,1),(91,1)}
        11:{1,2,4,5,6}:{(4,1),(18,1),(20,1),(44,1),(69,1),(93,1)}
        12:{1,3,4,6,7}:{(5,1),(8,1),(21,1),(25,1)}
        13:{2,3,4,6,7}:{(6,1),(9,1),(22,1),(25,1)}
        14:{1,2,5,6,7}:{(5,1),(21,1),(23,1),(79,1)}
        15:{1,2,5,6,7}:{(6,1),(22,1),(24,1),(82,1)}
        16:{3,5,6,7}:{(7,1),(25,1),(84,1)}
        17:{1,2,4,5,7}:{(8,1),(10,1),(21,1),(26,1),(51,1),(54,1),(79,1)}
        18:{1,2,4,5,7}:{(9,1),(11,1),(22,1),(27,1),(52,1),(56,1),(82,1)}
        19:{2,3,5,6}:{(10,1),(26,1),(29,1)}
        20:{1,3,5,6}:{(11,1),(27,1),(31,1)}
        21:{1,2,4,6,7}:{(12,1),(14,1),(17,1),(32,1),(35,1)}
        22:{1,2,4,6,7}:{(13,1),(15,1),(18,1),(33,1),(36,1)}
        23:{2,3,5,6,7}:{(14,1),(16,1),(32,1),(35,1),(63,1)}
        24:{1,3,5,6,7}:{(15,1),(16,1),(33,1),(36,1),(65,1)}
        25:{3,4,6,7}:{(16,1),(35,1),(36,1),(37,1)}
        26:{2,3,5,7}:{(17,1),(19,1),(32,1),(39,1)}
        27:{1,3,5,7}:{(18,1),(20,1),(33,1),(41,1)}
        28:{1,2,3,5,6}:{(19,1),(38,1),(42,1),(76,1),(91,1),(96,1)}
        29:{2,3,4,6}:{(19,1),(39,1),(42,1),(43,1)}
        30:{1,2,3,5,6}:{(20,1),(40,1),(44,1),(77,1),(93,1),(97,1)}
        31:{1,3,4,6}:{(20,1),(41,1),(44,1),(45,1)}
        32:{2,3,6,7}:{(21,1),(26,1)}
        33:{1,3,6,7}:{(22,1),(27,1)}
        34:{1,2,3,5,6,7}:{(23,1),(24,1),(46,1),(48,1),(50,1),(79,1),(82,1),(84,1),(99,1),(101,1)}
        35:{2,4,6,7}:{(23,1),(25,1),(51,1)}
        36:{1,4,6,7}:{(24,1),(25,1),(52,1)}
        37:{3,4,5,7}:{(25,1),(51,1),(52,1),(53,1),(84,1)}
        38:{1,2,3,5,7}:{(26,1),(28,1),(46,1),(54,1),(79,1),(86,1)}
        39:{2,3,4,7}:{(26,1),(29,1),(54,1)}
        40:{1,2,3,5,7}:{(27,1),(30,1),(48,1),(56,1),(82,1),(88,1)}
        41:{1,3,4,7}:{(27,1),(31,1),(56,1)}
        42:{1,2,4,6}:{(28,1),(29,1),(54,1),(58,1),(59,1)}
        43:{2,3,4,5}:{(29,1),(59,1)}
        44:{1,2,4,6}:{(30,1),(31,1),(56,1),(60,1),(61,1)}
        45:{1,3,4,5}:{(31,1),(61,1)}
        46:{1,2,3,6,7}:{(32,1),(38,1),(62,1),(96,1)}
        47:{2,3,4,6,7}:{(32,1),(35,1),(39,1),(62,1),(63,1),(66,1),(72,1)}
        48:{1,2,3,6,7}:{(33,1),(40,1),(64,1),(97,1)}
        49:{1,3,4,6,7}:{(33,1),(36,1),(41,1),(64,1),(65,1),(66,1),(75,1)}
        50:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(66,1),(67,1),(103,1),(104,1)}
        51:{2,4,5,7}:{(35,1),(37,1),(63,1),(68,1)}
        52:{1,4,5,7}:{(36,1),(37,1),(65,1),(69,1)}
        53:{3,4,5,6}:{(37,1),(68,1),(69,1),(95,1)}
        54:{1,2,4,7}:{(38,1),(39,1),(42,1),(70,1)}
        55:{2,3,4,5,7}:{(39,1),(43,1),(63,1),(71,1),(72,1),(94,1)}
        56:{1,2,4,7}:{(40,1),(41,1),(44,1),(73,1)}
        57:{1,3,4,5,7}:{(41,1),(45,1),(65,1),(74,1),(75,1),(94,1)}
        58:{1,3,4,6}:{(42,1),(70,1),(76,1),(96,1)}
        59:{1,2,4,5}:{(42,1),(43,1),(76,1)}
        60:{2,3,4,6}:{(44,1),(73,1),(77,1),(97,1)}
        61:{1,2,4,5}:{(44,1),(45,1),(77,1)}
        62:{1,2,4,6,7}:{(46,1),(47,1),(54,1),(78,1),(79,1),(87,1)}
        63:{2,3,5,7}:{(47,1),(51,1),(79,1),(80,1),(84,1)}
        64:{1,2,4,6,7}:{(48,1),(49,1),(56,1),(81,1),(82,1),(89,1)}
        65:{1,3,5,7}:{(49,1),(52,1),(82,1),(83,1),(84,1)}
        66:{3,4,6,7}:{(50,1),(84,1),(102,1)}
        67:{1,2,4,5,7}:{(50,1),(51,1),(52,1),(79,1),(82,1),(84,1),(85,1),(98,1),(100,1)}
        68:{2,4,5,6}:{(51,1),(53,1),(80,1)}
        69:{1,4,5,6}:{(52,1),(53,1),(83,1)}
        70:{1,3,4,7}:{(54,1),(58,1),(86,1)}
        71:{1,2,4,5,7}:{(54,1),(55,1),(59,1),(79,1),(86,1),(87,1),(98,1)}
        72:{2,3,4,6}:{(55,1),(80,1),(87,1),(102,1)}
        73:{2,3,4,7}:{(56,1),(60,1),(88,1)}
        74:{1,2,4,5,7}:{(56,1),(57,1),(61,1),(82,1),(88,1),(89,1),(100,1)}
        75:{1,3,4,6}:{(57,1),(83,1),(89,1),(102,1)}
        76:{1,3,5}:{(58,1),(59,1)}
        77:{2,3,5}:{(60,1),(61,1)}
        78:{1,3,4,6,7}:{(62,1),(66,1),(70,1),(90,1),(96,1),(103,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(90,1),(91,1)}
        80:{2,3,5,6}:{(63,1),(68,1),(72,1),(91,1),(95,1)}
        81:{2,3,4,6,7}:{(64,1),(66,1),(73,1),(92,1),(97,1),(104,1)}
        82:{1,2,5,7}:{(64,1),(65,1),(92,1),(93,1)}
        83:{1,3,5,6}:{(65,1),(69,1),(75,1),(93,1),(95,1)}
        84:{3,5,7}:{(66,1),(67,1),(95,1)}
        85:{1,2,4,5,6}:{(67,1),(68,1),(69,1),(91,1),(93,1),(95,1),(103,1),(104,1)}
        86:{1,3,5,7}:{(70,1),(71,1),(76,1),(96,1)}
        87:{1,2,4,6}:{(71,1),(72,1),(91,1),(96,1),(103,1)}
        88:{2,3,5,7}:{(73,1),(74,1),(77,1),(97,1)}
        89:{1,2,4,6}:{(74,1),(75,1),(93,1),(97,1),(104,1)}
        90:{1,3,5,7}:{(78,1),(79,1),(84,1),(98,1),(99,1)}
        91:{1,2,5,6}:{(79,1),(80,1),(87,1),(99,1)}
        92:{2,3,5,7}:{(81,1),(82,1),(84,1),(100,1),(101,1)}
        93:{1,2,5,6}:{(82,1),(83,1),(89,1),(101,1)}
        94:{3,4,5,7}:{(84,1),(98,1),(100,1),(102,1)}
        95:{3,5,6}:{(84,1),(85,1),(102,1)}
        96:{1,3,6}:{(86,1),(87,1)}
        97:{2,3,6}:{(88,1),(89,1)}
        98:{1,4,5,7}:{(90,1),(94,1),(103,1)}
        99:{1,3,5,6}:{(90,1),(91,1),(95,1),(96,1),(103,1)}
       100:{2,4,5,7}:{(92,1),(94,1),(104,1)}
       101:{2,3,5,6}:{(92,1),(93,1),(95,1),(97,1),(104,1)}
       102:{3,4,6}:{(94,1),(95,1),(103,1),(104,1)}
       103:{1,4,6}:{(98,1),(99,1),(102,1)}
       104:{2,4,6}:{(100,1),(101,1),(102,1)}

2019 :   0:{1,2,3,6,7}:{(3,1),(4,1),(48,1),(80,1),(83,1),(84,1),(85,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(42,1),(48,1),(52,1),(84,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(48,1),(54,1),(83,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(29,1),(61,1),(71,1),(72,1),(94,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(30,1),(69,1),(70,1),(90,1),(91,1),(93,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(11,1),(30,1),(60,1),(62,1)}
         6:{1,3,5,7}:{(2,1),(8,1),(12,1),(13,1),(30,1),(59,1),(64,1)}
         7:{1,2,3,5,6}:{(4,1),(14,1),(15,1),(40,1),(48,1),(77,1),(78,1),(79,1),(80,1),(85,1)}
         8:{1,2,5,7}:{(3,1),(5,1),(6,1),(15,1),(79,1),(81,1),(82,1)}
         9:{1,2,4,7}:{(4,1),(14,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(15,1),(19,1),(44,1),(48,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(75,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(15,1),(22,1),(46,1),(48,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(74,1),(95,1)}
        14:{1,2,4,6}:{(7,1),(9,1),(24,1),(25,1),(87,1),(88,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(12,1),(29,1),(63,1),(65,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(11,1),(13,1),(24,1),(29,1),(30,1),(35,1),(38,1),(69,1),(89,1),(101,1)}
        17:{3,4,7}:{(9,1),(25,1),(30,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(28,1),(33,1),(62,1),(66,1),(91,1)}
        19:{2,4,6}:{(10,1),(11,1),(34,1)}
        20:{3,4,5,7}:{(11,1),(30,1),(34,1),(35,1),(56,1),(62,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(28,1),(36,1),(64,1),(66,1),(90,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(30,1),(37,1),(38,1),(56,1),(64,1),(86,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(74,1),(75,1),(79,1)}
        25:{3,4,6}:{(14,1),(17,1),(40,1),(48,1)}
        26:{2,4,5,6}:{(19,1),(43,1),(44,1)}
        27:{1,4,5,6}:{(22,1),(45,1),(46,1)}
        28:{1,2,5,6,7}:{(15,1),(18,1),(21,1),(47,1),(81,1),(82,1),(99,1)}
        29:{1,2,4,6}:{(15,1),(16,1),(19,1),(22,1),(48,1),(53,1),(55,1),(85,1)}
        30:{3,5,7}:{(16,1),(17,1),(40,1),(48,1),(98,1),(104,1)}
        31:{1,3,4,7}:{(17,1),(41,1),(49,1),(51,1),(95,1),(104,1)}
        32:{2,3,4,7}:{(17,1),(42,1),(50,1),(51,1),(96,1),(104,1)}
        33:{2,4,6,7}:{(18,1),(19,1),(43,1),(52,1),(96,1)}
        34:{3,4,6}:{(19,1),(20,1),(44,1),(48,1),(53,1)}
        35:{1,4,5,7}:{(20,1),(49,1),(53,1),(74,1),(81,1),(95,1)}
        36:{1,4,6,7}:{(21,1),(22,1),(45,1),(54,1),(95,1)}
        37:{3,4,6}:{(22,1),(23,1),(46,1),(48,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(50,1),(55,1),(75,1),(82,1),(96,1)}
        39:{1,2,4,5,6}:{(24,1),(26,1),(27,1),(29,1),(57,1),(58,1),(63,1),(65,1),(87,1),(88,1),(92,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(31,1),(59,1),(61,1),(67,1),(87,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(32,1),(60,1),(61,1),(68,1),(88,1),(102,1),(103,1)}
        43:{2,4,5,7}:{(26,1),(33,1),(62,1)}
        44:{3,5,6}:{(26,1),(34,1),(62,1),(63,1)}
        45:{1,4,5,7}:{(27,1),(36,1),(64,1)}
        46:{3,5,6}:{(27,1),(37,1),(64,1),(65,1)}
        47:{1,2,4,6,7}:{(28,1),(29,1),(33,1),(36,1),(57,1),(66,1),(71,1),(72,1),(94,1),(101,1)}
        48:{3,6}:{(29,1),(30,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(35,1),(59,1),(67,1),(69,1)}
        50:{2,3,5,7}:{(30,1),(32,1),(38,1),(60,1),(68,1),(69,1)}
        51:{1,2,4,7}:{(31,1),(32,1),(61,1),(69,1),(70,1)}
        52:{3,4,6,7}:{(33,1),(34,1),(62,1),(66,1),(71,1),(86,1)}
        53:{1,4,6}:{(34,1),(35,1),(63,1),(67,1)}
        54:{3,4,6,7}:{(36,1),(37,1),(64,1),(66,1),(72,1),(86,1)}
        55:{2,4,6}:{(37,1),(38,1),(65,1),(68,1)}
        56:{3,4,5}:{(40,1),(73,1),(74,1),(75,1),(98,1)}
        57:{1,2,4,5,7}:{(39,1),(43,1),(45,1),(47,1),(76,1),(81,1),(82,1),(95,1),(96,1),(99,1)}
        58:{3,5,6}:{(39,1),(40,1),(48,1),(73,1),(76,1)}
        59:{1,3,5}:{(40,1),(41,1),(74,1),(79,1),(98,1)}
        60:{2,3,5}:{(40,1),(42,1),(75,1),(79,1),(98,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(51,1),(79,1),(80,1),(85,1),(100,1)}
        62:{3,5,7}:{(43,1),(44,1),(52,1),(81,1)}
        63:{1,5,6}:{(44,1),(53,1),(81,1)}
        64:{3,5,7}:{(45,1),(46,1),(54,1),(82,1)}
        65:{2,5,6}:{(46,1),(55,1),(82,1)}
        66:{3,6,7}:{(47,1),(48,1),(76,1),(104,1)}
        67:{1,3,6}:{(48,1),(49,1),(53,1),(85,1)}
        68:{2,3,6}:{(48,1),(50,1),(55,1),(85,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(85,1)}
        70:{1,2,3,7}:{(51,1),(80,1),(104,1)}
        71:{1,4,6,7}:{(52,1),(53,1),(81,1),(83,1),(95,1)}
        72:{2,4,6,7}:{(54,1),(55,1),(82,1),(84,1),(96,1)}
        73:{3,4,6}:{(56,1),(58,1),(86,1),(87,1),(88,1),(102,1)}
        74:{1,4,5}:{(56,1),(59,1),(87,1)}
        75:{2,4,5}:{(56,1),(60,1),(88,1)}
        76:{3,5,7}:{(57,1),(58,1),(66,1),(86,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(67,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(65,1),(68,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(70,1),(93,1),(102,1)}
        81:{1,5,7}:{(62,1),(63,1),(71,1)}
        82:{2,5,7}:{(64,1),(65,1),(72,1)}
        83:{1,3,6,7}:{(66,1),(67,1),(71,1),(90,1),(94,1)}
        84:{2,3,6,7}:{(66,1),(68,1),(72,1),(91,1),(94,1)}
        85:{1,2,6}:{(67,1),(68,1),(69,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        88:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(74,1),(75,1),(79,1),(97,1),(98,1),(100,1)}
        90:{1,3,5,7}:{(76,1),(77,1),(81,1),(83,1),(95,1),(99,1),(104,1)}
        91:{2,3,5,7}:{(76,1),(78,1),(82,1),(84,1),(96,1),(99,1),(104,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(85,1),(97,1),(99,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(98,1),(100,1)}
        94:{1,2,6,7}:{(83,1),(84,1),(85,1),(99,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,4,6}:{(87,1),(88,1),(89,1),(92,1),(101,1),(102,1)}
        98:{3,5}:{(89,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(90,1),(91,1),(92,1),(94,1),(101,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

2020 :   0:{1,3,4,6,7}:{(4,1),(5,1),(19,1),(22,1),(50,1),(53,1),(56,1),(76,1),(80,1),(96,1)}
         1:{2,3,4,6,7}:{(4,1),(6,1),(20,1),(23,1),(51,1),(53,1),(56,1),(77,1),(81,1),(96,1)}
         2:{1,3,5,6,7}:{(7,1),(8,1),(10,1),(31,1),(33,1),(63,1)}
         3:{2,3,5,6,7}:{(7,1),(9,1),(11,1),(32,1),(33,1),(64,1)}
         4:{1,2,4,6,7}:{(0,1),(1,1),(12,1),(13,1),(34,1),(35,1),(37,1),(40,1),(65,1),(88,1),(91,1)}
         5:{1,3,5,7}:{(0,1),(10,1),(13,1),(14,1),(31,1),(41,1),(89,1)}
         6:{2,3,5,7}:{(1,1),(11,1),(13,1),(15,1),(32,1),(41,1),(90,1)}
         7:{1,2,5,6,7}:{(2,1),(3,1),(18,1),(21,1),(48,1),(49,1),(78,1)}
         8:{1,4,6,7}:{(2,1),(16,1),(19,1),(22,1),(76,1)}
         9:{2,4,6,7}:{(3,1),(17,1),(20,1),(23,1),(77,1)}
        10:{1,3,5,6}:{(5,1),(21,1),(22,1),(45,1),(53,1)}
        11:{2,3,5,6}:{(6,1),(21,1),(23,1),(46,1),(53,1)}
        12:{1,2,3,6,7}:{(4,1),(24,1),(50,1),(51,1),(53,1),(82,1),(96,1),(98,1)}
        13:{1,2,5,7}:{(4,1),(5,1),(6,1),(21,1),(48,1),(49,1),(97,1)}
        14:{1,4,5,7}:{(5,1),(22,1),(26,1),(76,1),(93,1)}
        15:{2,4,5,7}:{(6,1),(23,1),(27,1),(77,1),(94,1)}
        16:{1,4,5,7}:{(8,1),(28,1),(31,1)}
        17:{2,4,5,7}:{(9,1),(29,1),(32,1)}
        18:{1,2,4,6,7}:{(7,1),(8,1),(9,1),(30,1),(33,1),(34,1),(35,1),(37,1),(65,1),(88,1)}
        19:{3,4,6,7}:{(8,1),(31,1),(33,1),(34,1),(38,1),(62,1)}
        20:{3,4,6,7}:{(9,1),(32,1),(33,1),(35,1),(39,1),(62,1)}
        21:{1,2,5,6}:{(10,1),(11,1),(13,1),(37,1),(60,1),(61,1)}
        22:{1,4,6}:{(10,1),(14,1),(38,1)}
        23:{2,4,6}:{(11,1),(15,1),(39,1)}
        24:{1,2,3,5,7}:{(12,1),(13,1),(36,1),(40,1),(41,1),(63,1),(64,1),(72,1),(92,1),(101,1)}
        25:{1,2,4,5,7}:{(13,1),(14,1),(15,1),(37,1),(40,1),(41,1),(42,1),(43,1),(66,1),(72,1),(88,1),(99,1)}
        26:{3,4,5,7}:{(14,1),(31,1),(38,1),(41,1),(42,1),(62,1),(84,1)}
        27:{3,4,5,7}:{(15,1),(32,1),(39,1),(41,1),(43,1),(62,1),(84,1)}
        28:{1,4,5,6}:{(16,1),(22,1),(45,1)}
        29:{2,4,5,6}:{(17,1),(23,1),(46,1)}
        30:{1,2,4,5,7}:{(16,1),(17,1),(18,1),(44,1),(47,1),(48,1),(49,1),(76,1),(77,1),(78,1)}
        31:{3,5,7}:{(16,1),(19,1),(45,1),(48,1)}
        32:{3,5,7}:{(17,1),(20,1),(46,1),(49,1)}
        33:{3,6,7}:{(18,1),(47,1),(53,1),(96,1)}
        34:{2,4,6,7}:{(19,1),(48,1),(51,1),(54,1),(77,1)}
        35:{1,4,6,7}:{(20,1),(49,1),(50,1),(55,1),(76,1)}
        36:{1,2,3,5,6}:{(21,1),(24,1),(52,1),(53,1),(74,1),(75,1),(79,1),(82,1),(97,1),(98,1)}
        37:{1,2,4,6}:{(21,1),(22,1),(23,1),(25,1),(53,1),(54,1),(55,1),(82,1)}
        38:{3,4,6}:{(22,1),(26,1),(45,1),(53,1),(54,1)}
        39:{3,4,6}:{(23,1),(27,1),(46,1),(53,1),(55,1)}
        40:{1,2,4,7}:{(24,1),(52,1),(56,1),(76,1),(77,1),(103,1)}
        41:{3,5,7}:{(25,1),(53,1),(56,1),(79,1),(96,1),(102,1)}
        42:{2,4,5,7}:{(26,1),(48,1),(54,1),(58,1),(77,1),(94,1)}
        43:{1,4,5,7}:{(27,1),(49,1),(55,1),(57,1),(76,1),(93,1)}
        44:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(37,1),(59,1),(60,1),(61,1),(66,1),(85,1),(86,1),(87,1)}
        45:{3,5,6}:{(28,1),(31,1),(38,1),(60,1)}
        46:{3,5,6}:{(29,1),(32,1),(39,1),(61,1)}
        47:{3,5,7}:{(30,1),(33,1),(59,1),(62,1)}
        48:{2,5,7}:{(31,1),(34,1),(60,1)}
        49:{1,5,7}:{(32,1),(35,1),(61,1)}
        50:{1,3,6,7}:{(33,1),(35,1),(63,1),(65,1),(68,1)}
        51:{2,3,6,7}:{(33,1),(34,1),(64,1),(65,1),(69,1)}
        52:{1,2,4,6}:{(36,1),(40,1),(66,1),(67,1),(85,1),(86,1)}
        53:{3,6}:{(37,1),(41,1)}
        54:{2,4,6}:{(38,1),(42,1),(60,1),(69,1)}
        55:{1,4,6}:{(39,1),(43,1),(61,1),(68,1)}
        56:{3,4,7}:{(40,1),(41,1),(67,1),(104,1)}
        57:{1,3,5,7}:{(41,1),(43,1),(68,1),(70,1),(72,1),(89,1)}
        58:{2,3,5,7}:{(41,1),(42,1),(69,1),(71,1),(72,1),(90,1)}
        59:{3,5,6}:{(44,1),(47,1),(53,1),(73,1),(79,1)}
        60:{2,5,6}:{(45,1),(48,1),(54,1)}
        61:{1,5,6}:{(46,1),(49,1),(55,1)}
        62:{3,4,7}:{(47,1),(73,1),(76,1),(77,1),(96,1)}
        63:{1,3,5,7}:{(47,1),(49,1),(50,1),(74,1),(76,1),(78,1),(96,1)}
        64:{2,3,5,7}:{(47,1),(48,1),(51,1),(75,1),(77,1),(78,1),(96,1)}
        65:{1,2,6,7}:{(50,1),(51,1),(78,1),(82,1)}
        66:{1,2,4,5}:{(52,1),(79,1),(93,1),(94,1),(97,1)}
        67:{3,4,6}:{(52,1),(53,1),(56,1),(79,1)}
        68:{1,3,6}:{(53,1),(55,1),(57,1),(82,1)}
        69:{2,3,6}:{(53,1),(54,1),(58,1),(82,1)}
        70:{1,3,4,7}:{(56,1),(57,1),(76,1),(80,1),(83,1),(96,1)}
        71:{2,3,4,7}:{(56,1),(58,1),(77,1),(81,1),(83,1),(96,1)}
        72:{1,2,5,7}:{(57,1),(58,1),(82,1),(83,1),(97,1)}
        73:{3,4,6}:{(59,1),(62,1),(84,1),(85,1),(86,1),(100,1)}
        74:{1,3,5,6}:{(59,1),(61,1),(63,1),(68,1),(85,1),(87,1),(89,1),(100,1)}
        75:{2,3,5,6}:{(59,1),(60,1),(64,1),(69,1),(86,1),(87,1),(90,1),(100,1)}
        76:{1,4,7}:{(62,1),(63,1),(85,1)}
        77:{2,4,7}:{(62,1),(64,1),(86,1)}
        78:{1,2,5,7}:{(63,1),(64,1),(65,1),(87,1),(88,1)}
        79:{3,5}:{(66,1),(67,1)}
        80:{1,3,4,6}:{(67,1),(68,1),(70,1),(85,1),(89,1),(91,1),(100,1),(104,1)}
        81:{2,3,4,6}:{(67,1),(69,1),(71,1),(86,1),(90,1),(91,1),(100,1),(104,1)}
        82:{1,2,6}:{(68,1),(69,1),(72,1)}
        83:{1,2,4,7}:{(70,1),(71,1),(72,1),(91,1),(92,1)}
        84:{3,4,5}:{(73,1),(79,1),(93,1),(94,1),(102,1)}
        85:{1,4,6}:{(73,1),(74,1),(76,1),(93,1)}
        86:{2,4,6}:{(73,1),(75,1),(77,1),(94,1)}
        87:{1,2,5,6}:{(74,1),(75,1),(78,1),(82,1),(95,1),(97,1)}
        88:{1,2,4,7}:{(76,1),(77,1),(78,1),(95,1),(96,1)}
        89:{1,3,5}:{(79,1),(80,1),(93,1),(97,1),(102,1)}
        90:{2,3,5}:{(79,1),(81,1),(94,1),(97,1),(102,1)}
        91:{1,2,4,6}:{(80,1),(81,1),(82,1),(83,1),(97,1),(98,1),(103,1)}
        92:{1,2,3,7}:{(83,1),(96,1),(98,1)}
        93:{1,4,5}:{(84,1),(85,1),(89,1)}
        94:{2,4,5}:{(84,1),(86,1),(90,1)}
        95:{1,2,4,6}:{(85,1),(86,1),(87,1),(88,1),(99,1),(100,1)}
        96:{3,7}:{(88,1),(100,1)}
        97:{1,2,5}:{(89,1),(90,1),(91,1)}
        98:{1,2,3,6}:{(91,1),(92,1),(100,1),(101,1)}
        99:{1,2,4,5}:{(93,1),(94,1),(95,1),(97,1),(102,1),(103,1)}
       100:{3,6}:{(95,1),(96,1),(102,1)}
       101:{1,2,3,5}:{(97,1),(98,1),(102,1),(103,1)}
       102:{3,5}:{(99,1),(100,1),(104,1)}
       103:{1,2,4}:{(101,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

2021 :  0:{2,3,4,5,7}:{(3,1),(4,1),(17,1),(37,1),(63,1)}
        1:{1,3,4,5,7}:{(3,1),(5,1),(19,1),(37,1),(63,1)}
        2:{1,2,3,4,7}:{(6,1),(7,1),(49,1),(83,1)}
        3:{1,2,4,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(26,1),(49,1)}
        4:{2,3,4,6}:{(0,1),(8,1),(10,1),(50,1)}
        5:{1,3,4,6}:{(1,1),(8,1),(12,1),(50,1)}
        6:{1,2,3,5,7}:{(2,1),(3,1),(13,1),(14,1)}
        7:{1,2,3,4,6}:{(2,1),(13,1),(14,1),(36,1),(81,1),(82,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(5,1),(13,1),(16,1)}
        9:{2,3,4,6,7}:{(4,1),(15,1),(17,1),(33,1),(60,1),(63,1)}
       10:{2,3,5,6}:{(4,1),(16,1),(17,1),(18,1),(39,1)}
       11:{1,3,4,6,7}:{(5,1),(15,1),(19,1),(34,1),(60,1),(63,1)}
       12:{1,3,5,6}:{(5,1),(16,1),(19,1),(20,1),(39,1)}
       13:{1,2,3,6}:{(6,1),(8,1)}
       14:{1,2,3,5}:{(7,1),(25,1)}
       15:{1,2,4,6,7}:{(8,1),(9,1),(11,1),(23,1),(26,1),(49,1)}
       16:{1,2,5,6}:{(8,1),(10,1),(12,1),(26,1)}
       17:{2,3,5,7}:{(9,1),(10,1),(26,1),(28,1),(53,1)}
       18:{2,4,5,6}:{(10,1),(28,1),(29,1)}
       19:{1,3,5,7}:{(11,1),(12,1),(26,1),(30,1),(53,1)}
       20:{1,4,5,6}:{(12,1),(30,1),(31,1)}
       21:{2,3,5,6,7}:{(17,1),(32,1),(33,1),(58,1),(60,1)}
       22:{1,3,5,6,7}:{(19,1),(32,1),(34,1),(59,1),(60,1)}
       23:{1,2,3,6,7}:{(13,1),(15,1),(35,1),(60,1),(79,1)}
       24:{1,2,3,5,6}:{(13,1),(14,1),(16,1),(35,1),(36,1),(39,1),(69,1),(81,1)}
       25:{1,2,4,5}:{(14,1),(36,1),(37,1)}
       26:{1,2,5,7}:{(15,1),(16,1),(17,1),(19,1)}
       27:{1,2,4,5,6}:{(16,1),(18,1),(20,1),(36,1),(38,1),(39,1),(41,1),(43,1),(69,1)}
       28:{2,4,5,7}:{(17,1),(18,1),(33,1),(40,1)}
       29:{3,4,5,6}:{(18,1),(39,1),(40,1),(41,1)}
       30:{1,4,5,7}:{(19,1),(20,1),(34,1),(42,1)}
       31:{3,4,5,6}:{(20,1),(39,1),(42,1),(43,1)}
       32:{1,2,5,6,7}:{(21,1),(22,1),(26,1),(46,1),(70,1),(71,1)}
       33:{2,4,6,7}:{(21,1),(28,1),(47,1)}
       34:{1,4,6,7}:{(22,1),(30,1),(48,1)}
       35:{1,2,3,5,7}:{(23,1),(24,1),(26,1),(49,1),(53,1),(78,1),(83,1)}
       36:{1,2,4,6}:{(24,1),(25,1),(49,1),(50,1)}
       37:{3,4,5}:{(25,1),(50,1)}
       38:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(30,1),(46,1),(49,1),(53,1),(56,1),(57,1),(78,1)}
       39:{3,5,6}:{(27,1),(50,1),(53,1)}
       40:{3,4,5,7}:{(28,1),(29,1),(47,1),(53,1),(56,1)}
       41:{1,4,5,6}:{(29,1),(54,1),(56,1)}
       42:{3,4,5,7}:{(30,1),(31,1),(48,1),(53,1),(57,1)}
       43:{2,4,5,6}:{(31,1),(55,1),(57,1)}
       44:{2,4,5,6,7}:{(33,1),(58,1)}
       45:{1,4,5,6,7}:{(34,1),(59,1)}
       46:{1,2,4,6,7}:{(32,1),(33,1),(34,1),(38,1),(60,1),(61,1),(62,1),(79,1)}
       47:{3,4,6,7}:{(33,1),(40,1),(58,1),(60,1),(61,1)}
       48:{3,4,6,7}:{(34,1),(42,1),(59,1),(60,1),(62,1)}
       49:{1,2,4,7}:{(35,1),(36,1),(63,1)}
       50:{3,4,6}:{(36,1),(37,1),(39,1),(63,1)}
       51:{1,3,4,5}:{(37,1),(64,1),(66,1)}
       52:{2,3,4,5}:{(37,1),(65,1),(66,1)}
       53:{3,5,7}:{(38,1),(39,1),(60,1),(63,1)}
       54:{1,3,5,6}:{(39,1),(41,1),(64,1),(67,1),(69,1)}
       55:{2,3,5,6}:{(39,1),(43,1),(65,1),(68,1),(69,1)}
       56:{1,4,5,7}:{(40,1),(41,1),(61,1),(67,1)}
       57:{2,4,5,7}:{(42,1),(43,1),(62,1),(68,1)}
       58:{3,5,6,7}:{(44,1),(47,1),(70,1)}
       59:{3,5,6,7}:{(45,1),(48,1),(71,1)}
       60:{3,6,7}:{(46,1),(53,1)}
       61:{1,4,6,7}:{(47,1),(56,1),(70,1),(72,1)}
       62:{2,4,6,7}:{(48,1),(57,1),(71,1),(73,1)}
       63:{3,4,7}:{(49,1),(50,1),(53,1)}
       64:{1,3,4,6}:{(50,1),(51,1),(54,1),(74,1),(76,1)}
       65:{2,3,4,6}:{(50,1),(52,1),(55,1),(75,1),(76,1)}
       66:{1,2,4,5}:{(51,1),(52,1),(76,1),(77,1)}
       67:{1,3,5,7}:{(53,1),(54,1),(56,1),(72,1),(74,1),(78,1)}
       68:{2,3,5,7}:{(53,1),(55,1),(57,1),(73,1),(75,1),(78,1)}
       69:{1,2,5,6}:{(54,1),(55,1),(76,1),(78,1)}
       70:{1,5,6,7}:{(58,1),(61,1)}
       71:{2,5,6,7}:{(59,1),(62,1)}
       72:{1,3,6,7}:{(60,1),(61,1),(67,1),(79,1)}
       73:{2,3,6,7}:{(60,1),(62,1),(68,1),(79,1)}
       74:{1,3,4,7}:{(63,1),(64,1),(67,1),(80,1)}
       75:{2,3,4,7}:{(63,1),(65,1),(68,1),(80,1)}
       76:{1,2,4,6}:{(64,1),(65,1),(66,1),(69,1),(80,1),(81,1)}
       77:{1,2,3,5}:{(66,1),(81,1),(82,1)}
       78:{1,2,5,7}:{(67,1),(68,1),(69,1),(79,1),(80,1)}
       79:{1,2,6,7}:{(72,1),(73,1),(78,1)}
       80:{1,2,4,7}:{(74,1),(75,1),(76,1),(78,1),(83,1)}
       81:{1,2,3,6}:{(76,1),(77,1),(83,1)}
       82:{1,2,3,4}:{(77,1)}
       83:{1,2,3,7}:{(80,1),(81,1)}

2022 :  0:{1,2,3,4,7}:{(1,1),(2,1),(29,1),(82,1)}
        1:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        2:{1,2,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(73,1),(74,1)}
        3:{1,3,4,5,7}:{(5,1),(8,1),(22,1),(23,1),(42,1)}
        4:{2,3,4,5,7}:{(5,1),(9,1),(22,1),(25,1),(42,1)}
        5:{1,2,4,5,7}:{(1,1),(3,1),(4,1),(10,1),(13,1),(27,1),(29,1)}
        6:{1,2,3,6}:{(1,1),(10,1)}
        7:{1,2,3,5}:{(2,1),(13,1)}
        8:{1,3,4,6}:{(3,1),(10,1),(15,1),(30,1)}
        9:{2,3,4,6}:{(4,1),(10,1),(17,1),(30,1)}
       10:{1,2,4,6}:{(5,1),(6,1),(8,1),(9,1),(19,1)}
       11:{1,2,3,6,7}:{(6,1),(18,1),(20,1),(68,1),(83,1)}
       12:{1,2,3,5,6}:{(6,1),(7,1),(19,1),(20,1),(21,1),(41,1),(71,1),(73,1)}
       13:{1,2,4,5}:{(7,1),(21,1),(22,1)}
       14:{1,3,4,6,7}:{(8,1),(18,1),(23,1),(42,1),(46,1),(68,1)}
       15:{1,3,5,6}:{(8,1),(19,1),(23,1),(24,1),(41,1)}
       16:{2,3,4,6,7}:{(9,1),(18,1),(25,1),(42,1),(49,1),(68,1)}
       17:{2,3,5,6}:{(9,1),(19,1),(25,1),(26,1),(41,1)}
       18:{1,2,4,6,7}:{(10,1),(11,1),(14,1),(16,1),(27,1),(29,1)}
       19:{1,2,5,6}:{(10,1),(15,1),(17,1),(27,1)}
       20:{1,2,3,5,7}:{(11,1),(12,1),(27,1),(29,1),(55,1),(81,1),(82,1)}
       21:{1,2,4,6}:{(12,1),(13,1),(29,1),(30,1)}
       22:{3,4,5}:{(13,1),(30,1)}
       23:{1,3,5,7}:{(14,1),(15,1),(27,1),(34,1),(55,1)}
       24:{1,4,5,6}:{(15,1),(34,1),(35,1)}
       25:{2,3,5,7}:{(16,1),(17,1),(27,1),(37,1),(55,1)}
       26:{2,4,5,6}:{(17,1),(37,1),(38,1)}
       27:{1,2,5,7}:{(18,1),(19,1),(23,1),(25,1)}
       28:{1,2,4,5,6}:{(19,1),(21,1),(24,1),(26,1),(40,1),(41,1),(48,1),(51,1),(71,1)}
       29:{1,2,4,7}:{(20,1),(21,1),(42,1)}
       30:{3,4,6}:{(21,1),(22,1),(41,1),(42,1)}
       31:{1,3,4,5}:{(22,1),(43,1),(45,1)}
       32:{2,3,4,5}:{(22,1),(44,1),(45,1)}
       33:{1,3,5,6,7}:{(23,1),(39,1),(46,1),(66,1),(68,1)}
       34:{1,4,5,7}:{(23,1),(24,1),(46,1),(47,1)}
       35:{3,4,5,6}:{(24,1),(41,1),(47,1),(48,1)}
       36:{2,3,5,6,7}:{(25,1),(39,1),(49,1),(67,1),(68,1)}
       37:{2,4,5,7}:{(25,1),(26,1),(49,1),(50,1)}
       38:{3,4,5,6}:{(26,1),(41,1),(50,1),(51,1)}
       39:{1,2,5,6,7}:{(27,1),(33,1),(36,1),(54,1),(77,1),(78,1)}
       40:{1,2,4,5,7}:{(27,1),(28,1),(29,1),(34,1),(37,1),(54,1),(55,1),(63,1),(65,1),(81,1)}
       41:{3,5,6}:{(28,1),(30,1),(55,1)}
       42:{3,4,7}:{(29,1),(30,1),(55,1)}
       43:{1,3,4,6}:{(30,1),(31,1),(56,1),(58,1),(60,1)}
       44:{2,3,4,6}:{(30,1),(32,1),(57,1),(59,1),(60,1)}
       45:{1,2,4,5}:{(31,1),(32,1),(60,1),(61,1)}
       46:{1,4,6,7}:{(33,1),(34,1),(62,1)}
       47:{3,4,5,7}:{(34,1),(35,1),(55,1),(62,1),(63,1)}
       48:{2,4,5,6}:{(35,1),(57,1),(63,1)}
       49:{2,4,6,7}:{(36,1),(37,1),(64,1)}
       50:{3,4,5,7}:{(37,1),(38,1),(55,1),(64,1),(65,1)}
       51:{1,4,5,6}:{(38,1),(56,1),(65,1)}
       52:{1,4,5,6,7}:{(46,1),(66,1)}
       53:{2,4,5,6,7}:{(49,1),(67,1)}
       54:{1,2,4,6,7}:{(39,1),(40,1),(46,1),(49,1),(68,1),(75,1),(76,1),(83,1)}
       55:{3,5,7}:{(40,1),(41,1),(42,1),(68,1)}
       56:{1,3,5,6}:{(41,1),(43,1),(51,1),(69,1),(71,1)}
       57:{2,3,5,6}:{(41,1),(44,1),(48,1),(70,1),(71,1)}
       58:{1,3,4,7}:{(42,1),(43,1),(69,1),(72,1)}
       59:{2,3,4,7}:{(42,1),(44,1),(70,1),(72,1)}
       60:{1,2,4,6}:{(43,1),(44,1),(45,1),(71,1),(72,1),(73,1)}
       61:{1,2,3,5}:{(45,1),(73,1),(74,1)}
       62:{3,4,6,7}:{(46,1),(47,1),(66,1),(68,1),(75,1)}
       63:{2,4,5,7}:{(47,1),(48,1),(70,1),(75,1)}
       64:{3,4,6,7}:{(49,1),(50,1),(67,1),(68,1),(76,1)}
       65:{1,4,5,7}:{(50,1),(51,1),(69,1),(76,1)}
       66:{3,5,6,7}:{(52,1),(62,1),(77,1)}
       67:{3,5,6,7}:{(53,1),(64,1),(78,1)}
       68:{3,6,7}:{(54,1),(55,1)}
       69:{1,3,5,7}:{(55,1),(56,1),(58,1),(65,1),(79,1),(81,1)}
       70:{2,3,5,7}:{(55,1),(57,1),(59,1),(63,1),(80,1),(81,1)}
       71:{1,2,5,6}:{(56,1),(57,1),(60,1),(81,1)}
       72:{1,2,4,7}:{(58,1),(59,1),(60,1),(81,1),(82,1)}
       73:{1,2,3,6}:{(60,1),(61,1),(82,1)}
       74:{1,2,3,4}:{(61,1)}
       75:{2,4,6,7}:{(62,1),(63,1),(77,1),(80,1)}
       76:{1,4,6,7}:{(64,1),(65,1),(78,1),(79,1)}
       77:{2,5,6,7}:{(66,1),(75,1)}
       78:{1,5,6,7}:{(67,1),(76,1)}
       79:{1,3,6,7}:{(68,1),(69,1),(76,1),(83,1)}
       80:{2,3,6,7}:{(68,1),(70,1),(75,1),(83,1)}
       81:{1,2,5,7}:{(69,1),(70,1),(71,1),(72,1),(83,1)}
       82:{1,2,3,7}:{(72,1),(73,1)}
       83:{1,2,6,7}:{(79,1),(80,1),(81,1)}

2023 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(23,1),(27,1),(28,1),(29,1),(30,1),(57,1),(94,1),(96,1),(123,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(41,1),(42,1),(112,1),(114,1),(133,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(21,1),(22,1),(23,1),(46,1),(56,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(25,1),(26,1),(29,1),(138,1)}
         4:{3,4,6,7}:{(1,1),(7,1),(24,1),(57,1),(98,1),(137,1)}
         5:{3,5,6,7}:{(2,1),(11,1),(15,1),(67,1),(78,1)}
         6:{1,2,4,5,6}:{(3,1),(15,1),(41,1),(42,1),(44,1)}
         7:{3,5,7}:{(3,1),(4,1),(15,1),(139,1)}
         8:{1,3,4,6,7}:{(4,1),(16,1),(18,1),(41,1),(76,1),(83,1),(84,1),(114,1),(119,1)}
         9:{2,3,4,6,7}:{(4,1),(17,1),(18,1),(42,1),(73,1),(83,1),(84,1),(112,1),(118,1)}
        10:{1,2,3,5,6,7}:{(19,1),(23,1),(47,1),(57,1),(64,1),(89,1),(90,1),(91,1),(92,1),(94,1),(96,1)}
        11:{3,4,6,7}:{(5,1),(20,1),(21,1),(22,1),(24,1),(57,1),(86,1),(98,1)}
        12:{1,3,5,6,7}:{(5,1),(21,1),(23,1),(27,1),(50,1),(57,1),(89,1),(96,1)}
        13:{2,3,5,6,7}:{(5,1),(22,1),(23,1),(28,1),(52,1),(57,1),(90,1),(94,1)}
        14:{3,4,5,7}:{(7,1),(24,1),(25,1),(26,1),(63,1),(98,1),(127,1)}
        15:{3,5,6}:{(6,1),(7,1),(24,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(25,1),(27,1),(29,1),(63,1),(130,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(26,1),(28,1),(29,1),(63,1),(129,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(62,1),(65,1),(128,1)}
        19:{1,2,4,6,7}:{(10,1),(31,1),(32,1),(85,1),(106,1),(107,1),(112,1),(114,1)}
        20:{3,4,5,7}:{(11,1),(35,1),(36,1),(37,1),(78,1)}
        21:{1,4,6,7}:{(11,1),(12,1),(36,1),(41,1),(106,1),(114,1)}
        22:{2,4,6,7}:{(11,1),(13,1),(37,1),(42,1),(107,1),(112,1)}
        23:{1,2,5,6,7}:{(12,1),(13,1),(38,1),(44,1),(72,1),(75,1),(109,1)}
        24:{3,4,6}:{(14,1),(15,1),(41,1),(42,1),(83,1)}
        25:{1,4,5,7}:{(14,1),(16,1),(41,1),(114,1),(135,1)}
        26:{2,4,5,7}:{(14,1),(17,1),(42,1),(112,1),(134,1)}
        27:{1,3,5,6}:{(15,1),(16,1),(41,1),(44,1),(83,1)}
        28:{2,3,5,6}:{(15,1),(17,1),(42,1),(44,1),(83,1)}
        29:{1,2,5,7}:{(16,1),(17,1),(18,1),(44,1),(136,1)}
        30:{1,2,3,6,7}:{(18,1),(45,1),(73,1),(76,1),(83,1),(116,1)}
        31:{1,2,4,5,7}:{(19,1),(46,1),(47,1),(87,1),(88,1),(91,1),(105,1)}
        32:{3,4,6,7}:{(19,1),(47,1),(57,1),(86,1),(98,1),(104,1)}
        33:{1,3,4,6,7}:{(21,1),(50,1),(51,1),(57,1),(58,1),(98,1)}
        34:{2,3,4,6,7}:{(22,1),(52,1),(53,1),(57,1),(60,1),(98,1)}
        35:{3,4,5,6}:{(20,1),(24,1),(54,1),(55,1),(86,1),(97,1),(127,1)}
        36:{1,4,5,7}:{(20,1),(21,1),(50,1),(54,1)}
        37:{2,4,5,7}:{(20,1),(22,1),(52,1),(55,1)}
        38:{1,2,4,6,7}:{(21,1),(22,1),(23,1),(56,1),(57,1),(62,1),(121,1)}
        39:{1,3,4,5,7}:{(25,1),(50,1),(58,1),(59,1),(63,1),(87,1),(98,1),(103,1),(122,1),(127,1),(130,1)}
        40:{2,3,4,5,7}:{(26,1),(52,1),(60,1),(61,1),(63,1),(88,1),(98,1),(101,1),(122,1),(127,1),(129,1)}
        41:{1,4,6}:{(24,1),(25,1),(27,1)}
        42:{2,4,6}:{(24,1),(26,1),(28,1)}
        43:{1,2,4,5,7}:{(25,1),(26,1),(29,1),(62,1),(63,1),(65,1),(105,1)}
        44:{1,2,5,6}:{(27,1),(28,1),(29,1),(62,1)}
        45:{1,2,3,5,7}:{(29,1),(30,1),(63,1),(64,1),(65,1),(94,1),(96,1)}
        46:{1,2,4,5,6}:{(31,1),(67,1),(106,1),(107,1),(109,1)}
        47:{3,5,7}:{(31,1),(32,1),(67,1),(120,1)}
        48:{1,3,4,6,7}:{(32,1),(68,1),(70,1),(76,1),(106,1),(114,1),(119,1),(131,1),(132,1)}
        49:{2,3,4,6,7}:{(32,1),(69,1),(70,1),(73,1),(107,1),(112,1),(118,1),(131,1),(132,1)}
        50:{1,3,5,7}:{(33,1),(36,1),(71,1),(72,1),(78,1)}
        51:{1,2,4,6,7}:{(33,1),(72,1),(73,1),(79,1),(112,1)}
        52:{2,3,5,7}:{(34,1),(37,1),(74,1),(75,1),(78,1)}
        53:{1,2,4,6,7}:{(34,1),(75,1),(76,1),(81,1),(114,1)}
        54:{1,4,5,6}:{(35,1),(36,1),(41,1),(71,1),(106,1),(135,1)}
        55:{2,4,5,6}:{(35,1),(37,1),(42,1),(74,1),(107,1),(134,1)}
        56:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(72,1),(75,1),(77,1),(78,1),(112,1),(114,1)}
        57:{3,6,7}:{(38,1),(78,1),(83,1),(131,1)}
        58:{1,3,4,6}:{(39,1),(41,1),(71,1),(79,1),(83,1),(106,1),(115,1),(131,1)}
        59:{1,2,4,5,7}:{(39,1),(72,1),(79,1),(80,1),(112,1),(117,1),(134,1),(136,1)}
        60:{2,3,4,6}:{(40,1),(42,1),(74,1),(81,1),(83,1),(107,1),(115,1),(131,1)}
        61:{1,2,4,5,7}:{(40,1),(75,1),(81,1),(82,1),(114,1),(117,1),(135,1),(136,1)}
        62:{1,2,4,6}:{(41,1),(42,1),(43,1),(44,1),(83,1)}
        63:{3,5,7}:{(43,1),(83,1),(84,1),(120,1)}
        64:{1,2,3,5,6}:{(44,1),(45,1),(83,1),(85,1),(111,1),(113,1),(116,1),(120,1),(136,1)}
        65:{1,2,4,7}:{(45,1),(84,1),(85,1),(112,1),(114,1)}
        66:{3,4,5,7}:{(47,1),(86,1),(87,1),(88,1),(98,1),(122,1),(127,1)}
        67:{3,5,6}:{(46,1),(47,1),(86,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(87,1),(89,1),(91,1),(122,1),(130,1)}
        69:{2,3,5,7}:{(47,1),(49,1),(88,1),(90,1),(91,1),(122,1),(129,1)}
        70:{1,2,4,6,7}:{(48,1),(49,1),(91,1),(92,1),(121,1),(124,1),(128,1)}
        71:{1,3,5,6}:{(50,1),(54,1),(58,1),(93,1),(97,1),(130,1)}
        72:{1,2,5,7}:{(50,1),(51,1),(93,1),(94,1)}
        73:{2,3,6,7}:{(51,1),(57,1),(94,1),(100,1)}
        74:{2,3,5,6}:{(52,1),(55,1),(60,1),(95,1),(97,1),(129,1)}
        75:{1,2,5,7}:{(52,1),(53,1),(95,1),(96,1)}
        76:{1,3,6,7}:{(53,1),(57,1),(96,1),(102,1)}
        77:{1,2,4,5,6}:{(54,1),(55,1),(56,1),(62,1),(93,1),(95,1),(97,1),(105,1),(121,1),(125,1),(126,1),(138,1)}
        78:{3,5,7}:{(56,1),(57,1),(97,1),(98,1)}
        79:{1,2,4,6}:{(58,1),(59,1),(93,1),(100,1),(125,1)}
        80:{2,3,5,7}:{(59,1),(63,1),(100,1),(101,1),(122,1),(129,1)}
        81:{1,2,4,6}:{(60,1),(61,1),(95,1),(102,1),(126,1)}
        82:{1,3,5,7}:{(61,1),(63,1),(102,1),(103,1),(122,1),(130,1)}
        83:{3,6}:{(62,1),(63,1)}
        84:{3,4,7}:{(63,1),(65,1),(104,1)}
        85:{1,2,4,6}:{(64,1),(65,1),(104,1),(105,1),(125,1),(126,1)}
        86:{3,4,6}:{(66,1),(67,1),(106,1),(107,1),(131,1)}
        87:{1,4,5,7}:{(66,1),(68,1),(106,1),(114,1),(135,1)}
        88:{2,4,5,7}:{(66,1),(69,1),(107,1),(112,1),(134,1)}
        89:{1,3,5,6}:{(67,1),(68,1),(106,1),(109,1),(131,1)}
        90:{2,3,5,6}:{(67,1),(69,1),(107,1),(109,1),(131,1)}
        91:{1,2,5,7}:{(68,1),(69,1),(70,1),(109,1),(136,1)}
        92:{1,2,3,6,7}:{(70,1),(73,1),(76,1),(110,1),(116,1),(131,1)}
        93:{1,2,5,6}:{(71,1),(72,1),(79,1),(111,1),(136,1)}
        94:{2,3,5,7}:{(72,1),(73,1),(78,1),(111,1),(112,1)}
        95:{1,2,5,6}:{(74,1),(75,1),(81,1),(113,1),(136,1)}
        96:{1,3,5,7}:{(75,1),(76,1),(78,1),(113,1),(114,1)}
        97:{3,5,6}:{(77,1),(78,1),(83,1),(115,1),(120,1),(131,1),(139,1)}
        98:{3,4,7}:{(78,1),(112,1),(114,1),(115,1)}
        99:{1,2,3,5,7}:{(80,1),(82,1),(116,1),(117,1),(136,1)}
       100:{2,3,6}:{(79,1),(80,1),(83,1),(131,1)}
       101:{2,3,4,7}:{(80,1),(84,1),(112,1),(117,1),(118,1),(132,1)}
       102:{1,3,6}:{(81,1),(82,1),(83,1),(131,1)}
       103:{1,3,4,7}:{(82,1),(84,1),(114,1),(117,1),(119,1),(132,1)}
       104:{3,4,6}:{(83,1),(84,1),(85,1),(120,1)}
       105:{1,2,4,5}:{(85,1),(120,1),(134,1),(135,1),(136,1)}
       106:{1,4,6}:{(86,1),(87,1),(89,1)}
       107:{2,4,6}:{(86,1),(88,1),(90,1)}
       108:{1,2,4,5,7}:{(87,1),(88,1),(91,1),(121,1),(122,1),(124,1),(138,1)}
       109:{1,2,5,6}:{(89,1),(90,1),(91,1),(121,1)}
       110:{1,2,3,5,7}:{(91,1),(92,1),(94,1),(96,1),(122,1),(123,1),(124,1)}
       111:{2,3,5,6}:{(93,1),(94,1),(97,1),(100,1),(125,1),(129,1)}
       112:{2,4,7}:{(94,1),(98,1),(125,1)}
       113:{1,3,5,6}:{(95,1),(96,1),(97,1),(102,1),(126,1),(130,1)}
       114:{1,4,7}:{(96,1),(98,1),(126,1)}
       115:{3,4,6}:{(97,1),(98,1),(125,1),(126,1),(127,1)}
       116:{1,2,3,6}:{(99,1),(100,1),(102,1),(128,1)}
       117:{1,2,4,7}:{(99,1),(101,1),(103,1),(128,1)}
       118:{2,3,4,6}:{(100,1),(101,1),(104,1),(125,1),(128,1),(129,1),(137,1)}
       119:{1,3,4,6}:{(102,1),(103,1),(104,1),(126,1),(128,1),(130,1),(137,1)}
       120:{3,5}:{(104,1),(105,1)}
       121:{1,2,4,6}:{(106,1),(107,1),(108,1),(109,1),(131,1)}
       122:{3,5,7}:{(108,1),(131,1),(132,1),(139,1)}
       123:{1,2,3,5,6}:{(109,1),(110,1),(111,1),(113,1),(116,1),(131,1),(133,1),(136,1),(139,1)}
       124:{1,2,4,7}:{(110,1),(112,1),(114,1),(132,1),(133,1)}
       125:{2,4,6}:{(111,1),(112,1),(115,1),(134,1)}
       126:{1,4,6}:{(113,1),(114,1),(115,1),(135,1)}
       127:{3,4,5}:{(115,1),(120,1),(134,1),(135,1),(139,1)}
       128:{1,2,4,6}:{(116,1),(117,1),(118,1),(119,1),(136,1)}
       129:{2,3,5}:{(118,1),(120,1),(134,1),(136,1),(139,1)}
       130:{1,3,5}:{(119,1),(120,1),(135,1),(136,1),(139,1)}
       131:{3,6}:{(121,1),(122,1)}
       132:{3,4,7}:{(122,1),(124,1),(137,1)}
       133:{1,2,4,6}:{(123,1),(124,1),(125,1),(126,1),(137,1),(138,1)}
       134:{2,4,5}:{(125,1),(127,1),(129,1)}
       135:{1,4,5}:{(126,1),(127,1),(130,1)}
       136:{1,2,5}:{(128,1),(129,1),(130,1)}
       137:{3,4,6}:{(131,1),(132,1),(133,1),(139,1)}
       138:{1,2,4,5}:{(133,1),(134,1),(135,1),(136,1),(139,1)}
       139:{3,5}:{(137,1),(138,1)}

2024 :  0:{1,2,3,4,6,7}:{(1,1),(4,1),(6,1),(17,1),(21,1),(41,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(32,1),(51,1)}
        2:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,5,6}:{(1,1),(6,1),(17,1),(20,1),(40,1)}
        4:{1,2,3,4,7}:{(8,1),(9,1),(47,1)}
        5:{3,4,5,7}:{(2,1),(12,1),(32,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(12,1)}
        7:{1,2,3,5,6,7}:{(3,1),(14,1),(27,1),(32,1),(51,1),(52,1),(53,1)}
        8:{1,2,3,4,6}:{(4,1),(15,1),(17,1),(35,1)}
        9:{1,2,3,5,7}:{(4,1),(15,1),(16,1),(17,1)}
       10:{1,3,4,5,7}:{(5,1),(16,1),(18,1),(34,1),(42,1),(55,1)}
       11:{2,3,4,5,7}:{(5,1),(16,1),(19,1),(34,1),(43,1),(55,1)}
       12:{3,4,6}:{(5,1),(6,1),(20,1)}
       13:{1,2,4,5,6}:{(6,1),(20,1),(22,1),(37,1),(38,1),(40,1)}
       14:{1,2,4,6,7}:{(6,1),(7,1),(21,1),(22,1),(57,1),(58,1)}
       15:{1,2,3,5}:{(8,1),(23,1)}
       16:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(47,1),(51,1)}
       17:{1,2,3,6}:{(9,1),(26,1)}
       18:{1,3,4,6}:{(10,1),(12,1),(26,1),(28,1),(45,1)}
       19:{2,3,4,6}:{(11,1),(12,1),(26,1),(30,1),(45,1)}
       20:{3,5,6}:{(12,1),(13,1),(32,1)}
       21:{3,4,6,7}:{(12,1),(14,1),(32,1)}
       22:{1,2,4,5,7}:{(13,1),(14,1),(32,1),(48,1),(49,1),(51,1)}
       23:{1,2,4,5}:{(15,1),(34,1),(35,1)}
       24:{1,2,3,5,6}:{(15,1),(17,1),(35,1),(36,1),(40,1),(54,1)}
       25:{3,4,5,6}:{(20,1),(37,1),(38,1),(39,1),(54,1)}
       26:{1,2,4,6}:{(16,1),(17,1),(18,1),(19,1),(40,1)}
       27:{1,2,3,6,7}:{(17,1),(36,1),(41,1),(62,1)}
       28:{1,3,5,6}:{(18,1),(20,1),(37,1),(40,1),(42,1),(54,1)}
       29:{1,3,4,6,7}:{(18,1),(21,1),(41,1),(42,1),(55,1),(57,1),(62,1)}
       30:{2,3,5,6}:{(19,1),(20,1),(38,1),(40,1),(43,1),(54,1)}
       31:{2,3,4,6,7}:{(19,1),(21,1),(41,1),(43,1),(55,1),(58,1),(62,1)}
       32:{3,5,7}:{(20,1),(21,1),(22,1)}
       33:{1,2,4,5,6,7}:{(22,1),(44,1),(57,1),(58,1),(59,1)}
       34:{3,4,5}:{(23,1),(45,1)}
       35:{1,2,4,6}:{(23,1),(24,1),(45,1),(47,1)}
       36:{1,2,3,5,7}:{(24,1),(27,1),(47,1),(51,1),(60,1)}
       37:{1,4,5,6}:{(25,1),(28,1),(48,1)}
       38:{2,4,5,6}:{(25,1),(30,1),(49,1)}
       39:{3,4,5,7}:{(25,1),(32,1),(48,1),(49,1),(50,1),(60,1)}
       40:{1,2,5,6}:{(26,1),(28,1),(30,1),(51,1)}
       41:{1,2,4,6,7}:{(26,1),(27,1),(29,1),(31,1),(47,1),(51,1)}
       42:{1,3,5,7}:{(28,1),(29,1),(32,1),(48,1),(51,1),(60,1)}
       43:{2,3,5,7}:{(30,1),(31,1),(32,1),(49,1),(51,1),(60,1)}
       44:{3,5,6,7}:{(32,1),(33,1),(50,1)}
       45:{3,4,6}:{(34,1),(35,1),(54,1),(55,1)}
       46:{1,2,4,5,6}:{(35,1),(37,1),(38,1),(40,1),(54,1),(56,1)}
       47:{1,2,4,7}:{(35,1),(36,1),(55,1)}
       48:{1,4,5,7}:{(37,1),(39,1),(42,1),(57,1)}
       49:{2,4,5,7}:{(38,1),(39,1),(43,1),(58,1)}
       50:{3,4,6,7}:{(39,1),(44,1),(57,1),(58,1),(62,1)}
       51:{1,2,5,7}:{(40,1),(41,1),(42,1),(43,1)}
       52:{1,3,5,6,7}:{(42,1),(44,1),(57,1),(59,1),(62,1)}
       53:{2,3,5,6,7}:{(43,1),(44,1),(58,1),(59,1),(62,1)}
       54:{3,5,6}:{(45,1),(46,1),(60,1)}
       55:{3,4,7}:{(45,1),(47,1),(60,1)}
       56:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(49,1),(51,1),(60,1),(61,1)}
       57:{1,4,6,7}:{(48,1),(50,1),(52,1)}
       58:{2,4,6,7}:{(49,1),(50,1),(53,1)}
       59:{1,2,5,6,7}:{(51,1),(52,1),(53,1),(61,1)}
       60:{3,5,7}:{(54,1),(55,1),(56,1),(62,1)}
       61:{1,2,4,6,7}:{(56,1),(57,1),(58,1),(59,1),(62,1)}
       62:{3,6,7}:{(60,1),(61,1)}

2025 :   0:{1,3,4,5,6}:{(1,1),(2,1),(20,1),(65,1),(72,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(53,1),(60,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(58,1),(61,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(48,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(45,1),(49,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(30,1),(54,1),(58,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(36,1),(76,1)}
         8:{1,3,5,6,7}:{(3,1),(14,1),(16,1),(36,1),(53,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(37,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{2,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(42,1),(45,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(8,1),(64,1)}
        15:{2,4,5,6,7}:{(7,1),(24,1),(86,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(45,1)}
        17:{2,3,6,7}:{(9,1),(10,1)}
        18:{2,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{2,3,4,5}:{(11,1),(23,1)}
        20:{1,3,4,6}:{(13,1),(29,1),(30,1),(54,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(33,1),(54,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(29,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(30,1)}
        24:{2,3,5,6,7}:{(15,1),(31,1),(35,1),(36,1),(79,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(35,1),(36,1),(37,1),(57,1),(59,1)}
        26:{2,3,5,6,7}:{(16,1),(17,1),(36,1),(37,1),(38,1)}
        27:{2,3,4,6,7}:{(17,1),(18,1),(33,1),(37,1),(38,1),(39,1),(56,1)}
        28:{2,3,4,5,7}:{(18,1),(19,1),(34,1),(38,1),(39,1),(76,1)}
        29:{1,3,4,7}:{(20,1),(22,1),(42,1)}
        30:{1,3,5}:{(20,1),(23,1)}
        31:{2,3,4,6,7}:{(24,1),(40,1),(43,1),(48,1)}
        32:{1,2,3,5,6,7}:{(21,1),(26,1),(44,1),(45,1),(47,1),(65,1),(66,1),(69,1),(89,1),(90,1)}
        33:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(41,1),(45,1),(46,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(42,1),(45,1),(46,1),(64,1)}
        35:{1,2,5,6,7}:{(24,1),(43,1),(47,1),(89,1)}
        36:{3,5,6,7}:{(25,1),(48,1),(69,1)}
        37:{2,4,6,7}:{(26,1),(48,1),(49,1)}
        38:{2,3,5,7}:{(27,1),(45,1),(49,1),(50,1),(69,1)}
        39:{2,3,4,6}:{(28,1),(46,1),(50,1),(88,1)}
        40:{2,3,4,5,7}:{(31,1),(51,1),(52,1),(60,1),(79,1),(94,1)}
        41:{1,3,4,6,7}:{(29,1),(33,1),(53,1),(54,1),(56,1),(77,1)}
        42:{1,3,5,7}:{(29,1),(30,1),(34,1),(54,1)}
        43:{1,2,4,6,7}:{(31,1),(35,1),(52,1),(55,1),(59,1)}
        44:{1,2,4,6,7}:{(32,1),(37,1),(56,1),(57,1),(59,1),(77,1),(96,1)}
        45:{1,2,5,7}:{(33,1),(38,1),(53,1),(58,1)}
        46:{1,2,4,6}:{(34,1),(39,1),(54,1),(58,1),(77,1)}
        47:{1,3,5,6,7}:{(35,1),(36,1),(55,1),(59,1),(80,1)}
        48:{3,4,6,7}:{(36,1),(37,1),(59,1),(60,1)}
        49:{2,4,5,7}:{(37,1),(38,1),(60,1),(61,1)}
        50:{2,3,5,6}:{(38,1),(39,1),(58,1),(61,1),(81,1)}
        51:{2,3,4,5,6}:{(40,1),(62,1),(72,1),(90,1),(99,1)}
        52:{1,2,4,5,7}:{(40,1),(43,1),(62,1),(63,1),(71,1),(85,1),(89,1)}
        53:{1,3,5,7}:{(41,1),(45,1),(64,1),(65,1),(69,1)}
        54:{1,3,6}:{(42,1),(46,1)}
        55:{1,3,6,7}:{(43,1),(63,1)}
        56:{3,4,6,7}:{(44,1),(69,1),(88,1)}
        57:{1,2,4,5,7}:{(44,1),(45,1),(49,1),(64,1),(69,1),(70,1),(71,1),(86,1),(89,1)}
        58:{1,2,5,6}:{(45,1),(46,1),(50,1),(65,1)}
        59:{1,4,6,7}:{(47,1),(48,1),(71,1)}
        60:{3,4,5,7}:{(48,1),(49,1),(69,1),(71,1),(72,1)}
        61:{2,4,5,6}:{(49,1),(50,1),(72,1)}
        62:{1,2,4,5,6}:{(51,1),(52,1),(73,1),(82,1),(92,1),(98,1)}
        63:{1,3,5,7}:{(52,1),(55,1),(73,1),(75,1)}
        64:{1,4,5,7}:{(53,1),(76,1),(77,1)}
        65:{1,3,5,6}:{(53,1),(54,1),(58,1),(77,1),(81,1)}
        66:{1,2,3,6,7}:{(55,1),(74,1),(78,1),(104,1)}
        67:{2,3,4,6,7}:{(56,1),(78,1),(79,1),(94,1),(96,1),(104,1)}
        68:{1,3,4,6,7}:{(55,1),(56,1),(59,1),(75,1),(78,1),(80,1),(97,1)}
        69:{3,5,7}:{(56,1),(57,1),(81,1)}
        70:{1,2,4,5,6}:{(57,1),(58,1),(61,1),(77,1),(81,1),(82,1),(96,1),(98,1)}
        71:{1,4,5,7}:{(59,1),(60,1),(80,1),(82,1)}
        72:{3,4,5,6}:{(60,1),(61,1),(81,1),(82,1)}
        73:{1,3,5,6}:{(62,1),(63,1),(84,1)}
        74:{1,2,3,5,7}:{(63,1),(66,1),(83,1),(85,1),(89,1),(101,1)}
        75:{1,3,4,7}:{(63,1),(84,1),(85,1)}
        76:{3,4,5,7}:{(64,1),(69,1),(86,1),(88,1)}
        77:{1,4,6}:{(64,1),(65,1),(88,1)}
        78:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(85,1),(89,1),(102,1)}
        79:{2,3,5,7}:{(67,1),(69,1),(86,1),(89,1),(90,1)}
        80:{1,3,5,7}:{(68,1),(69,1),(71,1),(89,1),(91,1)}
        81:{3,5,6}:{(69,1),(70,1),(88,1)}
        82:{1,4,5,6}:{(71,1),(72,1),(91,1)}
        83:{1,2,3,5,6}:{(73,1),(74,1),(92,1),(98,1),(103,1),(104,1)}
        84:{1,3,4,6}:{(73,1),(75,1),(92,1),(93,1)}
        85:{1,2,4,7}:{(74,1),(75,1),(92,1),(94,1)}
        86:{2,4,5,7}:{(76,1),(79,1),(96,1)}
        87:{1,3,4,5,7}:{(75,1),(76,1),(80,1),(93,1),(95,1),(97,1)}
        88:{3,4,6}:{(76,1),(77,1),(81,1),(96,1)}
        89:{1,2,5,7}:{(78,1),(79,1),(80,1),(98,1)}
        90:{2,3,5,6}:{(79,1),(81,1),(96,1),(98,1),(104,1)}
        91:{1,3,5,6}:{(80,1),(81,1),(82,1),(97,1),(98,1)}
        92:{1,2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        93:{1,3,4,5}:{(84,1),(100,1)}
        94:{2,3,4,7}:{(85,1),(99,1),(101,1)}
        95:{1,2,4,5,7}:{(85,1),(86,1),(87,1),(89,1),(100,1),(101,1),(102,1)}
        96:{2,4,6}:{(86,1),(88,1),(90,1)}
        97:{1,3,4,6}:{(87,1),(88,1),(91,1),(102,1)}
        98:{1,2,5,6}:{(89,1),(90,1),(91,1),(102,1)}
        99:{2,3,4,6}:{(92,1),(94,1),(103,1),(104,1)}
       100:{1,2,4,5}:{(92,1),(93,1),(103,1)}
       101:{2,3,5,7}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       103:{2,3,5}:{(99,1),(100,1)}
       104:{2,3,6}:{(101,1),(102,1)}

2026 :   0:{1,2,3,5,6,7}:{(2,1),(12,1),(18,1),(46,1),(47,1),(48,1),(49,1),(56,1),(58,1),(102,1),(103,1),(107,1),(138,1),(147,1),(165,1)}
         1:{1,2,4,5,6,7}:{(3,1),(11,1),(16,1),(17,1),(18,1),(55,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(69,1),(70,1),(84,1),(128,1),(131,1),(156,1),(172,1)}
         3:{3,5,6,7}:{(1,1),(6,1),(26,1),(82,1)}
         4:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(43,1),(44,1),(48,1),(149,1)}
         5:{3,4,6,7}:{(2,1),(12,1),(42,1),(56,1),(109,1),(147,1),(148,1),(167,1)}
         6:{3,4,6,7}:{(3,1),(15,1),(16,1),(17,1),(42,1),(56,1),(109,1)}
         7:{1,3,5,6,7}:{(3,1),(16,1),(18,1),(19,1),(46,1),(56,1),(107,1)}
         8:{2,3,5,6,7}:{(3,1),(17,1),(18,1),(47,1),(51,1),(56,1),(58,1)}
         9:{1,3,4,6,7}:{(16,1),(19,1),(20,1),(21,1),(56,1),(109,1)}
        10:{1,3,4,5,7}:{(19,1),(21,1),(22,1),(43,1),(93,1),(101,1),(109,1),(140,1),(151,1)}
        11:{1,2,4,5,6}:{(4,1),(26,1),(69,1),(70,1),(74,1)}
        12:{3,5,7}:{(4,1),(5,1),(26,1),(163,1)}
        13:{1,3,4,6,7}:{(5,1),(27,1),(29,1),(69,1),(80,1),(118,1),(119,1),(126,1),(127,1),(131,1),(156,1),(160,1)}
        14:{2,3,4,6,7}:{(5,1),(28,1),(29,1),(37,1),(70,1),(84,1),(85,1),(126,1),(127,1),(161,1),(162,1),(172,1)}
        15:{3,4,5,7}:{(6,1),(31,1),(32,1),(33,1),(82,1)}
        16:{1,4,6,7}:{(6,1),(7,1),(32,1),(69,1),(131,1)}
        17:{2,4,6,7}:{(6,1),(8,1),(33,1),(70,1),(84,1)}
        18:{1,2,5,6,7}:{(7,1),(8,1),(34,1),(36,1),(74,1),(79,1)}
        19:{1,3,5,7}:{(9,1),(32,1),(35,1),(36,1),(82,1)}
        20:{1,2,4,6,7}:{(9,1),(36,1),(37,1),(38,1),(84,1)}
        21:{1,3,4,6}:{(10,1),(35,1),(38,1),(69,1),(126,1),(132,1)}
        22:{1,2,4,5,7}:{(10,1),(36,1),(38,1),(39,1),(77,1),(84,1),(129,1),(133,1)}
        23:{2,3,4,5,7}:{(40,1),(41,1),(44,1),(60,1),(89,1),(101,1),(111,1),(167,1),(168,1)}
        24:{3,4,5,7}:{(12,1),(42,1),(43,1),(44,1),(101,1),(109,1),(151,1),(167,1),(168,1)}
        25:{1,2,4,5,6,7}:{(11,1),(45,1),(98,1),(99,1),(102,1),(136,1)}
        26:{3,5,6}:{(11,1),(12,1),(42,1)}
        27:{1,3,5,7}:{(12,1),(13,1),(43,1),(46,1),(48,1),(101,1),(140,1),(170,1)}
        28:{2,3,5,7}:{(12,1),(14,1),(44,1),(47,1),(48,1),(101,1),(111,1),(171,1)}
        29:{1,2,4,6,7}:{(13,1),(14,1),(48,1),(49,1),(100,1),(104,1),(105,1),(169,1)}
        30:{2,3,4,6,7}:{(17,1),(51,1),(52,1),(56,1),(94,1),(109,1)}
        31:{3,4,5,6}:{(15,1),(42,1),(53,1),(54,1),(108,1),(168,1)}
        32:{1,4,5,7}:{(15,1),(16,1),(19,1),(53,1)}
        33:{2,4,5,7}:{(15,1),(17,1),(51,1),(54,1)}
        34:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(55,1),(56,1),(100,1)}
        35:{1,3,5,6}:{(19,1),(21,1),(53,1),(57,1),(108,1),(140,1)}
        36:{1,2,5,7}:{(19,1),(20,1),(57,1),(58,1)}
        37:{2,3,6,7}:{(20,1),(56,1),(58,1),(59,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(57,1),(59,1),(110,1)}
        39:{2,3,5,7}:{(22,1),(59,1),(60,1),(101,1),(111,1)}
        40:{2,3,4,6}:{(23,1),(62,1),(64,1),(70,1),(126,1),(155,1)}
        41:{1,2,4,5,7}:{(23,1),(64,1),(65,1),(77,1),(116,1),(129,1),(156,1),(157,1)}
        42:{3,4,6}:{(24,1),(26,1),(69,1),(70,1),(126,1)}
        43:{1,4,5,7}:{(24,1),(27,1),(69,1),(131,1),(156,1),(157,1),(164,1)}
        44:{2,4,5,7}:{(24,1),(28,1),(70,1),(84,1),(133,1),(172,1),(173,1)}
        45:{3,5,6,7}:{(25,1),(26,1),(68,1),(154,1)}
        46:{1,3,5,6}:{(26,1),(27,1),(69,1),(74,1),(126,1)}
        47:{2,3,5,6}:{(26,1),(28,1),(70,1),(74,1),(126,1)}
        48:{1,2,5,7}:{(27,1),(28,1),(29,1),(74,1),(129,1),(174,1)}
        49:{1,2,3,6,7}:{(29,1),(37,1),(75,1),(76,1),(80,1),(118,1),(126,1),(158,1),(161,1)}
        50:{1,2,3,5,7}:{(39,1),(65,1),(76,1),(77,1),(129,1)}
        51:{2,3,5,7}:{(30,1),(33,1),(78,1),(79,1),(82,1)}
        52:{1,2,4,6,7}:{(30,1),(79,1),(80,1),(120,1),(131,1)}
        53:{1,4,5,6}:{(31,1),(32,1),(35,1),(69,1),(157,1)}
        54:{2,4,5,6}:{(31,1),(33,1),(70,1),(78,1),(173,1)}
        55:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(36,1),(79,1),(81,1),(82,1),(84,1),(131,1)}
        56:{3,6,7}:{(34,1),(82,1),(126,1)}
        57:{1,2,5,6}:{(35,1),(36,1),(38,1),(83,1),(129,1)}
        58:{2,3,5,7}:{(36,1),(37,1),(82,1),(83,1),(84,1)}
        59:{2,3,6}:{(38,1),(39,1),(126,1)}
        60:{2,3,4,7}:{(39,1),(77,1),(84,1),(85,1),(127,1)}
        61:{3,4,5,6}:{(42,1),(86,1),(87,1),(88,1),(137,1),(151,1)}
        62:{2,3,5,6}:{(40,1),(88,1),(89,1),(90,1),(111,1),(137,1)}
        63:{2,3,4,6,7}:{(40,1),(89,1),(91,1),(99,1),(147,1),(167,1)}
        64:{1,2,4,6}:{(40,1),(41,1),(90,1),(92,1),(139,1)}
        65:{1,3,5,7}:{(41,1),(92,1),(93,1),(101,1),(140,1)}
        66:{2,3,4,5,7}:{(44,1),(51,1),(94,1),(95,1),(101,1),(109,1),(146,1),(151,1),(171,1)}
        67:{1,3,4,5,7}:{(43,1),(96,1),(97,1),(101,1),(134,1),(143,1),(167,1),(168,1),(170,1)}
        68:{3,4,6,7}:{(42,1),(45,1),(86,1),(98,1),(99,1),(147,1),(167,1)}
        69:{1,4,6}:{(42,1),(43,1),(46,1)}
        70:{2,4,6}:{(42,1),(44,1),(47,1)}
        71:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(100,1),(101,1),(104,1),(149,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(98,1),(102,1),(134,1),(138,1),(147,1)}
        73:{2,3,5,6,7}:{(45,1),(47,1),(89,1),(99,1),(102,1),(147,1),(165,1)}
        74:{1,2,5,6}:{(46,1),(47,1),(48,1),(100,1)}
        75:{1,2,3,5,7}:{(48,1),(49,1),(58,1),(101,1),(103,1),(104,1),(107,1),(138,1),(165,1)}
        76:{1,2,3,6}:{(50,1),(59,1),(92,1),(105,1)}
        77:{1,2,4,7}:{(50,1),(60,1),(93,1),(105,1)}
        78:{2,3,5,6}:{(51,1),(54,1),(94,1),(106,1),(108,1),(171,1)}
        79:{1,2,5,7}:{(51,1),(52,1),(106,1),(107,1)}
        80:{1,3,6,7}:{(52,1),(56,1),(107,1),(142,1)}
        81:{1,2,4,5,6}:{(53,1),(54,1),(55,1),(57,1),(100,1),(106,1),(108,1),(110,1),(149,1),(150,1)}
        82:{3,5,7}:{(55,1),(56,1),(108,1),(109,1)}
        83:{2,3,5,6}:{(57,1),(58,1),(59,1),(108,1),(110,1),(111,1)}
        84:{2,4,7}:{(58,1),(109,1),(110,1)}
        85:{2,3,4,6}:{(59,1),(60,1),(105,1),(110,1),(111,1),(148,1)}
        86:{3,4,5,7}:{(61,1),(68,1),(113,1),(114,1),(154,1)}
        87:{1,4,5,6}:{(61,1),(69,1),(112,1),(113,1),(164,1)}
        88:{2,4,5,6}:{(61,1),(62,1),(70,1),(114,1),(133,1)}
        89:{2,3,5,7}:{(62,1),(63,1),(114,1),(116,1),(154,1)}
        90:{1,2,5,6}:{(62,1),(64,1),(116,1),(117,1),(129,1)}
        91:{1,2,4,6,7}:{(63,1),(64,1),(116,1),(118,1),(156,1)}
        92:{1,3,6}:{(64,1),(65,1),(126,1)}
        93:{1,3,4,7}:{(65,1),(77,1),(119,1),(127,1),(156,1)}
        94:{2,3,4,6}:{(66,1),(70,1),(78,1),(120,1),(126,1),(132,1)}
        95:{1,2,4,5,7}:{(66,1),(79,1),(120,1),(121,1),(131,1),(159,1),(164,1),(174,1)}
        96:{1,3,4,6}:{(67,1),(69,1),(112,1),(123,1),(126,1),(155,1)}
        97:{1,2,4,5,7}:{(67,1),(123,1),(124,1),(152,1),(159,1),(172,1),(173,1),(174,1)}
        98:{1,4,6,7}:{(68,1),(69,1),(72,1),(113,1),(156,1)}
        99:{2,4,6,7}:{(68,1),(70,1),(73,1),(114,1),(172,1)}
       100:{1,2,4,6}:{(69,1),(70,1),(71,1),(74,1),(126,1)}
       101:{3,5,7}:{(71,1),(126,1),(127,1),(163,1)}
       102:{1,2,5,6,7}:{(72,1),(73,1),(74,1),(116,1),(125,1),(152,1)}
       103:{1,2,3,5,6}:{(74,1),(75,1),(76,1),(83,1),(117,1),(126,1),(128,1),(129,1),(130,1),(153,1),(158,1),(163,1),(174,1)}
       104:{1,2,4,7}:{(75,1),(84,1),(127,1),(128,1),(131,1),(156,1),(172,1)}
       105:{1,2,4,6}:{(76,1),(77,1),(85,1),(119,1),(129,1)}
       106:{1,2,5,6}:{(78,1),(79,1),(120,1),(130,1),(174,1)}
       107:{1,3,5,7}:{(79,1),(80,1),(82,1),(130,1),(131,1)}
       108:{3,5,6}:{(81,1),(82,1),(126,1),(132,1),(163,1)}
       109:{3,4,7}:{(82,1),(84,1),(131,1),(132,1)}
       110:{2,4,6}:{(83,1),(84,1),(132,1),(133,1)}
       111:{2,3,5}:{(85,1),(129,1),(133,1),(163,1)}
       112:{1,3,5,6}:{(87,1),(96,1),(134,1),(135,1),(137,1),(170,1)}
       113:{1,4,5,7}:{(86,1),(87,1),(98,1),(134,1)}
       114:{2,4,5,7}:{(86,1),(88,1),(89,1),(99,1)}
       115:{1,2,4,5,6}:{(87,1),(88,1),(90,1),(100,1),(135,1),(136,1),(137,1),(139,1),(149,1),(166,1)}
       116:{1,2,5,7}:{(89,1),(90,1),(91,1),(138,1)}
       117:{1,3,5,6}:{(90,1),(92,1),(137,1),(138,1),(139,1),(140,1)}
       118:{1,3,6,7}:{(91,1),(92,1),(138,1),(147,1)}
       119:{1,3,4,6}:{(92,1),(93,1),(105,1),(139,1),(140,1),(148,1)}
       120:{1,2,4,6}:{(94,1),(95,1),(106,1),(142,1),(150,1)}
       121:{1,3,5,7}:{(95,1),(101,1),(142,1),(143,1),(170,1)}
       122:{1,3,4,6,7}:{(96,1),(98,1),(134,1),(144,1),(147,1),(167,1)}
       123:{1,2,4,6}:{(96,1),(97,1),(135,1),(145,1),(166,1)}
       124:{2,3,5,7}:{(97,1),(101,1),(145,1),(146,1),(171,1)}
       125:{1,2,4,6,7}:{(98,1),(99,1),(100,1),(102,1),(136,1),(147,1)}
       126:{3,6}:{(100,1),(101,1)}
       127:{3,4,7}:{(101,1),(104,1),(148,1)}
       128:{1,2,4,6}:{(103,1),(104,1),(110,1),(139,1),(148,1),(149,1),(150,1),(166,1)}
       129:{1,2,5}:{(105,1),(111,1),(140,1)}
       130:{1,3,5,6}:{(106,1),(107,1),(108,1),(142,1),(150,1),(170,1)}
       131:{1,4,7}:{(107,1),(109,1),(150,1)}
       132:{3,4,6}:{(108,1),(109,1),(110,1),(150,1),(151,1)}
       133:{2,4,5}:{(110,1),(111,1),(151,1)}
       134:{1,3,5,7}:{(112,1),(113,1),(122,1),(152,1),(154,1)}
       135:{1,2,5,6}:{(112,1),(123,1),(152,1),(153,1),(174,1)}
       136:{1,2,4,5,7}:{(113,1),(114,1),(115,1),(116,1),(125,1),(152,1),(154,1),(156,1),(172,1)}
       137:{3,5,6}:{(115,1),(126,1),(154,1),(155,1),(163,1)}
       138:{1,3,5,7}:{(116,1),(117,1),(118,1),(154,1),(156,1)}
       139:{1,4,6}:{(117,1),(155,1),(156,1),(157,1)}
       140:{1,3,5}:{(119,1),(129,1),(157,1),(163,1)}
       141:{1,2,3,5,7}:{(121,1),(124,1),(158,1),(159,1),(174,1)}
       142:{1,3,6}:{(120,1),(121,1),(126,1)}
       143:{1,3,4,7}:{(121,1),(127,1),(131,1),(159,1),(160,1)}
       144:{1,2,4,6,7}:{(122,1),(123,1),(152,1),(161,1),(172,1)}
       145:{2,3,6}:{(123,1),(124,1),(126,1)}
       146:{2,3,4,7}:{(124,1),(127,1),(159,1),(162,1),(172,1)}
       147:{3,6,7}:{(125,1),(126,1),(154,1)}
       148:{3,4,6}:{(126,1),(127,1),(128,1),(163,1)}
       149:{1,2,4,5}:{(128,1),(129,1),(133,1),(157,1),(163,1),(164,1),(173,1),(174,1)}
       150:{1,4,6}:{(130,1),(131,1),(132,1),(164,1)}
       151:{3,4,5}:{(132,1),(133,1),(163,1),(164,1)}
       152:{1,2,5,7}:{(134,1),(135,1),(144,1),(165,1)}
       153:{2,3,5,6}:{(135,1),(137,1),(145,1),(165,1),(166,1),(171,1)}
       154:{3,5,7}:{(136,1),(137,1),(147,1),(167,1)}
       155:{3,4,6}:{(137,1),(139,1),(166,1),(167,1),(168,1)}
       156:{1,4,7}:{(138,1),(139,1),(167,1)}
       157:{1,4,5}:{(139,1),(140,1),(168,1)}
       158:{1,2,3,6}:{(141,1),(142,1),(145,1),(169,1)}
       159:{1,2,4,7}:{(141,1),(143,1),(146,1),(169,1)}
       160:{1,3,4,6}:{(142,1),(143,1),(148,1),(150,1),(169,1),(170,1)}
       161:{2,3,6,7}:{(144,1),(145,1),(147,1),(165,1)}
       162:{2,3,4,6}:{(145,1),(146,1),(148,1),(166,1),(169,1),(171,1)}
       163:{3,5}:{(148,1),(149,1)}
       164:{1,4,5}:{(150,1),(151,1),(170,1)}
       165:{2,3,5,7}:{(152,1),(153,1),(154,1),(161,1),(172,1)}
       166:{2,4,6}:{(153,1),(155,1),(172,1),(173,1)}
       167:{3,4,7}:{(154,1),(155,1),(156,1),(172,1)}
       168:{3,4,5}:{(155,1),(157,1),(163,1),(173,1)}
       169:{1,2,4,6}:{(158,1),(159,1),(160,1),(162,1),(174,1)}
       170:{1,3,5}:{(160,1),(163,1),(164,1),(174,1)}
       171:{2,3,5}:{(162,1),(163,1),(173,1),(174,1)}
       172:{2,4,7}:{(165,1),(166,1),(167,1)}
       173:{2,4,5}:{(166,1),(168,1),(171,1)}
       174:{1,2,5}:{(169,1),(170,1),(171,1)}

2027 :   0:{1,3,4,5,6}:{(1,1),(2,1),(18,1),(57,1),(63,1)}
         1:{1,2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(49,1),(52,1)}
         2:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(28,1),(48,1),(53,1)}
         3:{2,3,5,6}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(40,1),(43,1)}
         5:{1,3,4,6,7}:{(2,1),(9,1),(10,1),(44,1)}
         6:{1,2,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(47,1),(49,1)}
         7:{2,3,4,6}:{(3,1),(11,1),(13,1),(14,1)}
         8:{2,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,2,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(34,1)}
        10:{1,3,5,6,7}:{(5,1),(16,1),(17,1),(35,1),(48,1)}
        11:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
        12:{1,2,3,5,7}:{(6,1),(8,1),(20,1),(21,1),(37,1),(40,1)}
        13:{2,3,4,5}:{(7,1),(19,1)}
        14:{2,3,4,7}:{(7,1),(8,1),(20,1)}
        15:{2,3,6,7}:{(8,1),(9,1)}
        16:{1,2,5,6,7}:{(9,1),(10,1),(24,1),(40,1)}
        17:{1,4,5,6,7}:{(10,1),(26,1),(58,1)}
        18:{1,3,4,6}:{(11,1),(27,1),(28,1),(47,1)}
        19:{1,2,4,5}:{(11,1),(13,1),(27,1)}
        20:{1,2,4,7}:{(11,1),(12,1),(14,1),(28,1)}
        21:{1,2,3,6,7}:{(12,1),(15,1),(30,1),(47,1)}
        22:{2,3,4,5,7}:{(13,1),(14,1),(29,1),(32,1),(33,1),(68,1)}
        23:{2,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1),(51,1)}
        24:{2,3,5,6,7}:{(15,1),(16,1),(33,1),(34,1),(35,1)}
        25:{1,2,4,5,6,7}:{(16,1),(17,1),(34,1),(35,1),(36,1),(50,1),(54,1),(56,1)}
        26:{3,4,5,6,7}:{(17,1),(35,1),(36,1),(68,1)}
        27:{1,3,5}:{(18,1),(19,1)}
        28:{1,3,4,7}:{(18,1),(20,1),(37,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(39,1),(40,1),(58,1)}
        30:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(39,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(24,1),(40,1),(41,1),(45,1),(57,1),(60,1),(81,1),(82,1),(83,1)}
        32:{2,3,4,6}:{(22,1),(39,1),(42,1),(77,1)}
        33:{2,3,5,7}:{(23,1),(40,1),(42,1),(43,1),(60,1)}
        34:{2,4,6,7}:{(24,1),(43,1),(44,1)}
        35:{3,5,6,7}:{(25,1),(44,1),(60,1)}
        36:{2,4,5,6,7}:{(26,1),(46,1),(79,1)}
        37:{1,3,5,7}:{(27,1),(28,1),(29,1),(47,1)}
        38:{1,3,4,6,7}:{(28,1),(30,1),(47,1),(48,1),(51,1),(67,1)}
        39:{1,2,4,6}:{(29,1),(32,1),(47,1),(49,1),(67,1)}
        40:{1,2,5,7}:{(30,1),(33,1),(48,1),(49,1)}
        41:{1,2,4,6,7}:{(31,1),(34,1),(50,1),(51,1),(54,1),(67,1),(87,1)}
        42:{2,3,5,6}:{(32,1),(33,1),(49,1),(52,1),(69,1)}
        43:{2,4,5,7}:{(33,1),(34,1),(52,1),(53,1)}
        44:{3,4,6,7}:{(34,1),(35,1),(53,1),(54,1)}
        45:{1,3,5,6,7}:{(35,1),(54,1),(56,1),(70,1),(76,1)}
        46:{2,3,5,6,7}:{(35,1),(36,1),(55,1),(56,1),(71,1)}
        47:{1,3,6}:{(37,1),(39,1)}
        48:{1,3,5,7}:{(38,1),(40,1),(57,1),(58,1),(60,1)}
        49:{1,2,5,6}:{(39,1),(40,1),(42,1),(57,1)}
        50:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(58,1),(59,1),(60,1),(64,1),(79,1),(82,1)}
        51:{3,4,6,7}:{(41,1),(60,1),(77,1)}
        52:{2,4,5,6}:{(42,1),(43,1),(63,1)}
        53:{3,4,5,7}:{(43,1),(44,1),(60,1),(63,1),(64,1)}
        54:{1,4,6,7}:{(44,1),(45,1),(64,1)}
        55:{2,3,4,6,7}:{(44,1),(46,1),(65,1),(66,1)}
        56:{1,2,5,6,7}:{(45,1),(46,1),(66,1),(82,1)}
        57:{1,3,5,6}:{(47,1),(48,1),(49,1),(67,1),(69,1)}
        58:{1,4,5,7}:{(48,1),(67,1),(68,1)}
        59:{1,2,4,5,6}:{(49,1),(50,1),(52,1),(67,1),(69,1),(73,1),(87,1),(89,1)}
        60:{3,5,7}:{(50,1),(51,1),(69,1)}
        61:{1,3,4,6,7}:{(51,1),(54,1),(70,1),(72,1),(76,1),(86,1),(92,1)}
        62:{2,3,4,6,7}:{(51,1),(71,1),(72,1),(87,1),(98,1),(99,1)}
        63:{3,4,5,6}:{(52,1),(53,1),(69,1),(73,1)}
        64:{1,4,5,7}:{(53,1),(54,1),(70,1),(73,1)}
        65:{2,3,4,5,7}:{(53,1),(55,1),(71,1),(74,1),(75,1),(99,1)}
        66:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(75,1),(76,1)}
        67:{1,4,6}:{(57,1),(58,1),(77,1)}
        68:{3,4,5,7}:{(58,1),(60,1),(77,1),(79,1)}
        69:{3,5,6}:{(59,1),(60,1),(77,1)}
        70:{1,3,5,7}:{(60,1),(61,1),(64,1),(80,1),(82,1)}
        71:{2,3,5,7}:{(60,1),(62,1),(79,1),(81,1),(82,1)}
        72:{1,2,4,6,7}:{(61,1),(62,1),(82,1),(83,1),(93,1),(96,1)}
        73:{1,4,5,6}:{(63,1),(64,1),(80,1)}
        74:{2,3,4,5,6}:{(63,1),(65,1),(81,1),(84,1),(102,1)}
        75:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(82,1),(84,1),(85,1),(96,1)}
        76:{1,3,6,7}:{(66,1),(85,1)}
        77:{3,4,6}:{(67,1),(68,1),(69,1),(87,1)}
        78:{1,3,4,5,7}:{(68,1),(70,1),(86,1),(88,1),(92,1),(101,1)}
        79:{2,4,5,7}:{(68,1),(71,1),(87,1)}
        80:{1,3,5,6}:{(69,1),(70,1),(73,1),(86,1),(89,1)}
        81:{2,3,5,6}:{(69,1),(71,1),(87,1),(89,1),(98,1)}
        82:{1,2,5,7}:{(70,1),(71,1),(72,1),(89,1)}
        83:{1,2,3,6,7}:{(72,1),(76,1),(90,1),(98,1)}
        84:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(89,1),(91,1),(100,1)}
        85:{1,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,3,4,6}:{(77,1),(78,1),(80,1),(93,1)}
        87:{2,4,6}:{(77,1),(79,1),(81,1)}
        88:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(93,1),(94,1),(96,1),(103,1)}
        89:{1,2,5,6}:{(80,1),(81,1),(82,1),(93,1)}
        90:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(94,1),(95,1),(96,1)}
        91:{1,3,5,6}:{(84,1),(85,1),(97,1)}
        92:{1,3,4,7}:{(85,1),(96,1),(97,1)}
        93:{1,2,4,6}:{(86,1),(87,1),(88,1),(89,1),(98,1)}
        94:{2,3,5,7}:{(88,1),(98,1),(99,1),(104,1)}
        95:{1,2,3,5,6}:{(89,1),(90,1),(91,1),(98,1),(100,1),(104,1)}
        96:{1,2,4,7}:{(90,1),(92,1),(99,1),(100,1)}
        97:{1,3,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{2,3,6}:{(93,1),(94,1)}
        99:{2,3,4,7}:{(94,1),(96,1),(102,1)}
       100:{1,2,4,6}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{1,3,4,5}:{(97,1),(103,1)}
       102:{2,3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       103:{1,2,4,5}:{(100,1),(101,1),(104,1)}
       104:{2,3,5}:{(102,1),(103,1)}

2028 :   0:{1,3,4,5,7}:{(7,1),(8,1),(10,1),(37,1),(80,1),(94,1),(96,1),(103,1),(139,1),(154,1)}
         1:{1,3,4,6,7}:{(8,1),(9,1),(10,1),(12,1),(48,1),(50,1),(103,1)}
         2:{1,3,5,6,7}:{(10,1),(11,1),(12,1),(14,1),(33,1),(48,1)}
         3:{2,3,5,6,7}:{(11,1),(13,1),(34,1),(44,1),(47,1),(48,1)}
         4:{1,4,5,6,7}:{(12,1),(14,1),(83,1)}
         5:{1,3,4,6,7}:{(16,1),(17,1),(60,1),(107,1),(111,1),(117,1),(121,1),(124,1),(159,1)}
         6:{2,3,4,6,7}:{(16,1),(18,1),(22,1),(28,1),(61,1),(67,1),(72,1),(121,1),(124,1)}
         7:{1,2,4,5,7}:{(0,1),(19,1),(20,1),(23,1),(57,1),(72,1),(119,1),(128,1)}
         8:{1,3,4,6}:{(0,1),(20,1),(21,1),(60,1),(121,1),(123,1),(129,1)}
         9:{1,2,4,6,7}:{(1,1),(20,1),(22,1),(23,1),(72,1)}
        10:{1,3,5,7}:{(1,1),(21,1),(23,1),(24,1),(73,1),(75,1)}
        11:{1,2,5,6,7}:{(2,1),(3,1),(23,1),(26,1),(29,1),(59,1),(75,1)}
        12:{1,4,6,7}:{(2,1),(24,1),(27,1),(60,1)}
        13:{2,4,6,7}:{(3,1),(25,1),(28,1),(61,1),(72,1)}
        14:{3,5,6,7}:{(4,1),(27,1),(29,1),(114,1)}
        15:{2,3,4,5,7}:{(30,1),(31,1),(38,1),(39,1),(79,1),(94,1),(95,1),(98,1),(178,1),(181,1)}
        16:{1,2,4,6,7}:{(5,1),(6,1),(35,1),(36,1),(50,1),(88,1),(90,1),(93,1),(145,1)}
        17:{1,3,5,7}:{(5,1),(33,1),(36,1),(37,1),(94,1),(137,1),(139,1)}
        18:{2,3,5,7}:{(6,1),(34,1),(36,1),(38,1),(47,1),(94,1),(98,1)}
        19:{2,3,5,7}:{(7,1),(39,1),(40,1),(94,1),(98,1)}
        20:{1,2,4,6}:{(7,1),(8,1),(40,1),(41,1),(99,1)}
        21:{1,3,5,6}:{(8,1),(10,1),(41,1),(42,1),(100,1),(102,1),(139,1)}
        22:{2,3,6,7}:{(9,1),(40,1),(44,1),(48,1)}
        23:{1,2,5,7}:{(9,1),(10,1),(41,1),(44,1)}
        24:{1,4,5,7}:{(10,1),(12,1),(42,1),(46,1)}
        25:{2,4,5,7}:{(13,1),(43,1),(47,1)}
        26:{1,2,4,6,7}:{(11,1),(12,1),(13,1),(45,1),(48,1),(49,1),(50,1),(90,1),(106,1)}
        27:{3,4,6,7}:{(12,1),(14,1),(46,1),(48,1),(49,1),(91,1)}
        28:{3,4,6,7}:{(13,1),(47,1),(48,1),(50,1),(92,1),(103,1)}
        29:{2,5,6,7}:{(14,1),(49,1),(142,1)}
        30:{1,2,4,5,7}:{(15,1),(52,1),(53,1),(57,1),(108,1),(119,1),(159,1),(163,1)}
        31:{2,3,4,6}:{(15,1),(53,1),(54,1),(61,1),(121,1),(122,1),(164,1)}
        32:{1,2,3,5,7}:{(19,1),(52,1),(57,1),(58,1),(119,1)}
        33:{1,3,5,6}:{(17,1),(59,1),(60,1),(114,1),(121,1)}
        34:{2,3,5,6}:{(18,1),(59,1),(61,1),(71,1),(121,1)}
        35:{1,2,3,6,7}:{(16,1),(22,1),(58,1),(62,1),(76,1),(107,1),(121,1),(168,1),(172,1)}
        36:{1,2,5,7}:{(16,1),(17,1),(18,1),(59,1),(75,1),(119,1),(161,1)}
        37:{1,4,5,7}:{(17,1),(60,1),(64,1),(159,1),(163,1)}
        38:{2,4,5,7}:{(18,1),(61,1),(65,1),(72,1),(128,1)}
        39:{2,3,4,7}:{(19,1),(57,1),(67,1),(72,1),(124,1)}
        40:{2,3,6}:{(19,1),(20,1),(121,1)}
        41:{1,2,5,6}:{(20,1),(21,1),(23,1),(68,1),(119,1)}
        42:{1,4,5,6}:{(21,1),(24,1),(60,1),(70,1),(163,1)}
        43:{2,4,5,6}:{(25,1),(61,1),(71,1)}
        44:{2,3,5,7}:{(22,1),(23,1),(68,1),(72,1),(73,1)}
        45:{1,2,4,5,7}:{(23,1),(24,1),(25,1),(26,1),(69,1),(72,1),(73,1),(74,1),(75,1),(132,1),(134,1)}
        46:{3,4,5,7}:{(24,1),(27,1),(70,1),(73,1),(74,1)}
        47:{3,5,7}:{(25,1),(28,1),(71,1),(75,1)}
        48:{3,6,7}:{(26,1),(73,1),(121,1)}
        49:{2,4,6,7}:{(27,1),(29,1),(74,1),(77,1),(122,1)}
        50:{1,4,6,7}:{(28,1),(75,1),(76,1),(123,1),(132,1)}
        51:{2,3,4,6,7}:{(31,1),(78,1),(79,1),(87,1),(144,1),(145,1),(178,1)}
        52:{1,3,5,7}:{(30,1),(80,1),(81,1),(94,1),(139,1)}
        53:{1,2,4,6}:{(30,1),(31,1),(81,1),(82,1),(140,1)}
        54:{2,3,5,6}:{(31,1),(79,1),(82,1),(84,1),(98,1),(141,1),(142,1)}
        55:{1,3,5,6,7}:{(33,1),(85,1),(86,1),(135,1),(137,1),(144,1)}
        56:{2,3,5,6,7}:{(34,1),(79,1),(85,1),(87,1),(97,1),(144,1)}
        57:{1,2,4,7}:{(32,1),(39,1),(80,1),(88,1)}
        58:{1,2,3,6}:{(32,1),(40,1),(81,1),(88,1)}
        59:{1,2,5,6}:{(33,1),(34,1),(36,1),(90,1),(102,1),(142,1)}
        60:{1,4,6}:{(33,1),(37,1),(91,1)}
        61:{2,4,6}:{(34,1),(38,1),(92,1)}
        62:{1,2,3,5,7}:{(35,1),(36,1),(44,1),(89,1),(93,1),(94,1),(104,1),(135,1),(153,1),(180,1),(189,1)}
        63:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(90,1),(93,1),(94,1),(95,1),(96,1),(147,1),(153,1)}
        64:{3,4,5,7}:{(37,1),(91,1),(94,1),(95,1),(137,1),(178,1),(181,1)}
        65:{3,4,5,7}:{(38,1),(47,1),(92,1),(94,1),(96,1),(103,1),(154,1)}
        66:{2,4,5,6,7}:{(43,1),(87,1),(97,1)}
        67:{2,3,4,6}:{(39,1),(40,1),(88,1),(98,1),(99,1),(148,1)}
        68:{2,3,5,6}:{(40,1),(41,1),(44,1),(98,1),(99,1),(100,1)}
        69:{1,2,4,5,6}:{(41,1),(42,1),(43,1),(45,1),(90,1),(99,1),(100,1),(101,1),(102,1),(147,1),(155,1),(157,1)}
        70:{3,4,5,6}:{(42,1),(46,1),(91,1),(100,1),(101,1),(181,1)}
        71:{3,5,6}:{(43,1),(47,1),(92,1),(102,1)}
        72:{2,4,7}:{(44,1),(99,1),(103,1)}
        73:{3,5,7}:{(45,1),(48,1),(100,1),(103,1)}
        74:{2,4,5,7}:{(46,1),(49,1),(101,1),(105,1)}
        75:{1,5,7}:{(47,1),(50,1),(102,1)}
        76:{1,3,6,7}:{(48,1),(50,1),(104,1),(106,1),(149,1)}
        77:{2,3,6,7}:{(48,1),(49,1),(105,1),(106,1),(150,1)}
        78:{1,2,4,6,7}:{(51,1),(53,1),(107,1),(108,1),(159,1)}
        79:{2,3,5,7}:{(51,1),(54,1),(108,1),(110,1),(160,1),(161,1)}
        80:{1,3,4,7}:{(52,1),(57,1),(111,1),(124,1),(159,1)}
        81:{1,3,6}:{(52,1),(53,1),(121,1)}
        82:{1,2,5,6}:{(53,1),(54,1),(108,1),(112,1),(119,1)}
        83:{1,4,5,6}:{(60,1),(109,1),(114,1)}
        84:{2,4,5,6}:{(54,1),(61,1),(110,1),(115,1),(128,1)}
        85:{1,2,5,6,7}:{(55,1),(56,1),(59,1),(108,1),(116,1),(127,1),(161,1)}
        86:{1,4,6,7}:{(55,1),(60,1),(109,1),(117,1),(159,1)}
        87:{2,4,6,7}:{(56,1),(61,1),(110,1),(118,1)}
        88:{1,2,4,6}:{(57,1),(58,1),(67,1),(111,1),(119,1)}
        89:{1,2,3,5,6}:{(58,1),(59,1),(62,1),(68,1),(112,1),(119,1),(120,1),(121,1),(130,1),(166,1),(169,1),(172,1),(198,1),(199,1)}
        90:{1,2,4,6}:{(59,1),(60,1),(61,1),(63,1),(121,1),(122,1),(123,1),(172,1)}
        91:{3,4,6}:{(60,1),(64,1),(114,1),(121,1),(122,1)}
        92:{3,4,6}:{(61,1),(65,1),(71,1),(121,1),(123,1)}
        93:{1,2,4,7}:{(62,1),(72,1),(120,1),(124,1),(132,1),(159,1),(193,1)}
        94:{3,5,7}:{(63,1),(121,1),(124,1),(169,1)}
        95:{2,4,5,7}:{(64,1),(122,1),(126,1),(161,1),(193,1),(196,1)}
        96:{1,4,5,7}:{(65,1),(75,1),(123,1),(125,1),(132,1),(174,1)}
        97:{3,5,6,7}:{(66,1),(71,1),(118,1),(127,1)}
        98:{2,3,5}:{(67,1),(119,1),(128,1),(169,1)}
        99:{2,4,6}:{(68,1),(72,1),(128,1),(129,1)}
       100:{3,5,6}:{(69,1),(73,1),(121,1),(129,1),(169,1)}
       101:{2,4,5,6}:{(70,1),(74,1),(122,1),(131,1),(196,1)}
       102:{1,5,6}:{(71,1),(75,1),(123,1)}
       103:{3,4,7}:{(72,1),(73,1),(129,1),(132,1)}
       104:{1,3,5,7}:{(73,1),(75,1),(76,1),(130,1),(132,1),(134,1),(177,1)}
       105:{2,3,5,7}:{(73,1),(74,1),(77,1),(131,1),(133,1),(134,1)}
       106:{1,2,6,7}:{(76,1),(77,1),(134,1),(172,1)}
       107:{1,3,6,7}:{(78,1),(81,1),(135,1),(144,1)}
       108:{1,2,5,7}:{(78,1),(79,1),(82,1),(135,1)}
       109:{1,4,5,7}:{(83,1),(86,1),(137,1)}
       110:{2,4,5,7}:{(79,1),(84,1),(87,1),(138,1)}
       111:{1,3,4,6}:{(80,1),(81,1),(88,1),(139,1),(140,1),(148,1)}
       112:{1,3,5,6}:{(81,1),(82,1),(135,1),(139,1),(140,1),(141,1)}
       113:{1,2,4,5,6}:{(82,1),(83,1),(84,1),(90,1),(136,1),(140,1),(141,1),(142,1),(143,1),(147,1),(183,1),(184,1)}
       114:{3,5,6}:{(83,1),(91,1),(137,1),(142,1)}
       115:{3,4,5,6}:{(84,1),(92,1),(138,1),(141,1),(143,1),(154,1)}
       116:{1,2,4,6,7}:{(85,1),(86,1),(87,1),(90,1),(136,1),(144,1),(145,1),(146,1),(185,1)}
       117:{3,4,6,7}:{(86,1),(91,1),(137,1),(144,1),(145,1),(178,1)}
       118:{3,4,6,7}:{(87,1),(92,1),(97,1),(138,1),(144,1),(146,1)}
       119:{1,2,5}:{(88,1),(98,1),(139,1)}
       120:{1,2,4,6}:{(89,1),(93,1),(99,1),(140,1),(147,1),(148,1),(155,1),(183,1)}
       121:{3,6}:{(90,1),(94,1)}
       122:{2,4,6}:{(91,1),(95,1),(142,1),(150,1)}
       123:{1,4,6}:{(92,1),(96,1),(102,1),(149,1)}
       124:{3,4,7}:{(93,1),(94,1),(148,1)}
       125:{1,3,5,7}:{(94,1),(96,1),(149,1),(151,1),(153,1),(186,1)}
       126:{2,3,5,7}:{(94,1),(95,1),(150,1),(152,1),(153,1),(187,1)}
       127:{1,5,6,7}:{(97,1),(102,1),(146,1)}
       128:{2,4,5}:{(98,1),(99,1),(154,1)}
       129:{3,4,6}:{(99,1),(100,1),(103,1),(154,1),(155,1)}
       130:{1,3,5,6}:{(100,1),(102,1),(104,1),(149,1),(155,1),(157,1),(186,1),(191,1)}
       131:{2,3,5,6}:{(100,1),(101,1),(105,1),(150,1),(156,1),(157,1),(187,1)}
       132:{1,4,7}:{(103,1),(104,1),(155,1)}
       133:{2,3,4,7}:{(103,1),(105,1),(156,1),(158,1)}
       134:{1,2,5,7}:{(104,1),(105,1),(106,1),(157,1),(158,1)}
       135:{1,3,5,7}:{(107,1),(108,1),(112,1),(159,1),(160,1)}
       136:{1,2,4,5,7}:{(108,1),(109,1),(110,1),(113,1),(116,1),(159,1),(160,1),(161,1),(162,1),(193,1),(194,1)}
       137:{3,5,7}:{(109,1),(114,1),(117,1),(161,1)}
       138:{3,4,5,7}:{(110,1),(115,1),(118,1),(160,1),(162,1)}
       139:{1,3,5}:{(111,1),(119,1),(163,1),(169,1)}
       140:{1,4,6}:{(112,1),(159,1),(163,1),(164,1)}
       141:{3,5,6}:{(113,1),(121,1),(160,1),(164,1),(169,1)}
       142:{2,5,6}:{(114,1),(122,1),(161,1)}
       143:{1,4,5,6}:{(115,1),(123,1),(162,1),(165,1),(174,1)}
       144:{3,6,7}:{(116,1),(121,1),(160,1)}
       145:{2,4,6,7}:{(117,1),(122,1),(161,1),(168,1),(193,1)}
       146:{1,4,6,7}:{(118,1),(123,1),(127,1),(162,1),(167,1)}
       147:{1,2,4,5}:{(119,1),(120,1),(128,1),(163,1),(169,1),(174,1),(196,1),(198,1)}
       148:{3,4,6}:{(120,1),(121,1),(124,1),(169,1)}
       149:{1,3,6}:{(121,1),(123,1),(125,1),(172,1)}
       150:{2,3,6}:{(121,1),(122,1),(126,1),(172,1)}
       151:{1,3,4,7}:{(124,1),(125,1),(132,1),(170,1),(173,1),(177,1)}
       152:{2,3,4,7}:{(124,1),(126,1),(171,1),(173,1),(193,1),(206,1)}
       153:{1,2,5,7}:{(125,1),(126,1),(172,1),(173,1),(198,1)}
       154:{3,4,5}:{(128,1),(129,1),(169,1),(174,1)}
       155:{1,4,6}:{(129,1),(130,1),(132,1),(174,1)}
       156:{2,3,4,6}:{(129,1),(131,1),(133,1),(175,1),(176,1)}
       157:{1,2,5,6}:{(130,1),(131,1),(134,1),(172,1),(176,1),(198,1)}
       158:{1,2,4,7}:{(132,1),(133,1),(134,1),(176,1),(177,1)}
       159:{1,4,7}:{(135,1),(140,1),(178,1)}
       160:{3,5,7}:{(136,1),(141,1),(144,1),(178,1)}
       161:{2,5,7}:{(137,1),(142,1),(145,1)}
       162:{1,4,5,7}:{(138,1),(143,1),(146,1),(179,1)}
       163:{1,4,5}:{(139,1),(140,1),(181,1)}
       164:{3,4,6}:{(140,1),(141,1),(178,1),(181,1),(183,1)}
       165:{1,3,5,6}:{(141,1),(143,1),(149,1),(179,1),(182,1),(184,1),(186,1)}
       166:{2,3,5,6}:{(141,1),(142,1),(150,1),(180,1),(183,1),(184,1),(187,1),(203,1)}
       167:{1,3,6,7}:{(144,1),(146,1),(149,1),(179,1),(185,1)}
       168:{2,3,6,7}:{(144,1),(145,1),(150,1),(180,1),(185,1)}
       169:{3,5}:{(147,1),(148,1)}
       170:{1,3,4,6}:{(148,1),(149,1),(151,1),(155,1),(186,1),(188,1),(191,1),(205,1)}
       171:{2,3,4,6}:{(148,1),(150,1),(152,1),(183,1),(187,1),(188,1),(203,1),(209,1)}
       172:{1,2,6}:{(149,1),(150,1),(153,1)}
       173:{1,2,4,7}:{(151,1),(152,1),(153,1),(188,1),(189,1)}
       174:{1,4,5}:{(154,1),(155,1),(186,1)}
       175:{2,3,4,5}:{(154,1),(156,1),(187,1),(190,1),(209,1)}
       176:{1,2,4,6}:{(155,1),(156,1),(157,1),(158,1),(190,1),(191,1)}
       177:{1,3,7}:{(158,1),(191,1)}
       178:{3,4,7}:{(159,1),(160,1),(164,1),(193,1)}
       179:{1,3,5,7}:{(160,1),(162,1),(165,1),(167,1),(192,1),(194,1)}
       180:{2,3,5,7}:{(160,1),(161,1),(166,1),(168,1),(193,1),(194,1),(206,1)}
       181:{3,4,5}:{(163,1),(164,1),(169,1),(196,1)}
       182:{1,3,4,6}:{(164,1),(165,1),(192,1),(195,1),(197,1)}
       183:{2,4,6}:{(164,1),(166,1),(193,1),(196,1)}
       184:{1,2,5,6}:{(165,1),(166,1),(172,1),(194,1),(197,1),(198,1)}
       185:{1,2,6,7}:{(167,1),(168,1),(172,1),(194,1)}
       186:{1,3,5}:{(169,1),(170,1),(174,1),(198,1)}
       187:{2,3,5}:{(169,1),(171,1),(196,1),(198,1)}
       188:{1,2,4,6}:{(170,1),(171,1),(172,1),(173,1),(198,1),(199,1),(208,1)}
       189:{1,2,3,7}:{(173,1),(177,1),(199,1),(206,1)}
       190:{1,2,4,5}:{(174,1),(175,1),(176,1),(198,1),(200,1),(208,1)}
       191:{1,3,6}:{(176,1),(177,1),(200,1)}
       192:{1,3,4,7}:{(178,1),(179,1),(182,1),(201,1)}
       193:{2,4,7}:{(178,1),(180,1),(183,1)}
       194:{1,2,5,7}:{(179,1),(180,1),(184,1),(185,1),(201,1)}
       195:{1,3,4,5}:{(181,1),(182,1),(186,1),(202,1),(205,1)}
       196:{2,4,5}:{(181,1),(183,1),(187,1)}
       197:{1,2,4,6}:{(182,1),(183,1),(184,1),(201,1),(202,1),(203,1)}
       198:{1,2,5}:{(186,1),(187,1),(188,1)}
       199:{1,2,3,6}:{(188,1),(189,1),(191,1),(203,1),(204,1)}
       200:{1,3,5}:{(190,1),(191,1),(205,1)}
       201:{1,2,4,7}:{(192,1),(193,1),(194,1),(197,1),(206,1)}
       202:{1,2,4,5}:{(195,1),(196,1),(197,1),(198,1),(207,1),(208,1)}
       203:{2,3,6}:{(197,1),(206,1),(207,1)}
       204:{1,2,3,5}:{(198,1),(199,1),(200,1),(207,1),(208,1)}
       205:{1,3,4}:{(200,1),(208,1)}
       206:{2,3,7}:{(201,1),(203,1)}
       207:{2,3,5}:{(202,1),(203,1),(209,1)}
       208:{1,2,4}:{(204,1),(205,1),(209,1)}
       209:{2,3,4}:{(207,1),(208,1)}

2029 :   0:{1,2,3,5,6,7}:{(2,1),(14,1),(24,1),(52,1),(54,1),(55,1),(59,1),(60,1),(68,1),(70,1),(105,1),(107,1),(111,1),(121,1),(147,1)}
         1:{1,2,4,5,6,7}:{(3,1),(13,1),(22,1),(23,1),(24,1),(67,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(81,1),(82,1),(96,1),(129,1),(134,1),(142,1),(161,1)}
         3:{3,5,6,7}:{(1,1),(9,1),(30,1),(95,1)}
         4:{1,2,4,5,6,7}:{(12,1),(13,1),(50,1),(51,1),(52,1),(104,1)}
         5:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(57,1),(58,1),(59,1),(152,1)}
         6:{3,4,6,7}:{(2,1),(14,1),(53,1),(70,1),(107,1),(122,1),(148,1),(151,1)}
         7:{1,3,4,5,7}:{(17,1),(18,1),(20,1),(57,1),(102,1),(115,1),(122,1),(146,1),(157,1)}
         8:{1,3,4,6,7}:{(17,1),(20,1),(21,1),(22,1),(70,1),(122,1)}
         9:{3,4,6,7}:{(3,1),(19,1),(22,1),(23,1),(53,1),(70,1),(122,1)}
        10:{1,3,5,6,7}:{(3,1),(20,1),(22,1),(24,1),(54,1),(70,1),(121,1)}
        11:{2,3,5,6,7}:{(3,1),(23,1),(24,1),(55,1),(66,1),(68,1),(70,1)}
        12:{3,5,6,7}:{(4,1),(27,1),(30,1),(128,1)}
        13:{1,2,4,5,6}:{(5,1),(30,1),(81,1),(82,1),(83,1)}
        14:{3,5,7}:{(5,1),(6,1),(30,1),(165,1)}
        15:{1,3,4,6,7}:{(6,1),(32,1),(34,1),(78,1),(81,1),(97,1),(126,1),(129,1),(133,1),(138,1),(142,1),(164,1)}
        16:{2,3,4,6,7}:{(6,1),(33,1),(34,1),(42,1),(82,1),(93,1),(96,1),(130,1),(133,1),(138,1),(161,1),(163,1)}
        17:{1,3,4,6}:{(7,1),(36,1),(37,1),(81,1),(133,1),(140,1)}
        18:{1,2,4,5,7}:{(7,1),(37,1),(38,1),(41,1),(85,1),(96,1),(135,1),(141,1)}
        19:{3,4,5,7}:{(9,1),(35,1),(39,1),(40,1),(95,1)}
        20:{1,3,5,7}:{(8,1),(36,1),(39,1),(41,1),(95,1)}
        21:{1,2,4,6,7}:{(8,1),(37,1),(41,1),(42,1),(96,1)}
        22:{1,4,6,7}:{(9,1),(10,1),(39,1),(81,1),(142,1)}
        23:{2,4,6,7}:{(9,1),(11,1),(40,1),(82,1),(96,1)}
        24:{1,2,5,6,7}:{(10,1),(11,1),(41,1),(44,1),(83,1),(94,1)}
        25:{2,3,4,5,7}:{(45,1),(46,1),(48,1),(58,1),(65,1),(115,1),(120,1),(148,1),(169,1)}
        26:{2,3,4,6,7}:{(45,1),(48,1),(49,1),(51,1),(107,1),(148,1)}
        27:{3,4,6,7}:{(12,1),(47,1),(50,1),(51,1),(53,1),(107,1),(148,1)}
        28:{1,3,5,6,7}:{(12,1),(50,1),(52,1),(54,1),(103,1),(105,1),(107,1)}
        29:{2,3,5,6,7}:{(12,1),(48,1),(51,1),(52,1),(55,1),(107,1),(147,1)}
        30:{3,5,6}:{(13,1),(14,1),(53,1)}
        31:{3,4,5,7}:{(14,1),(53,1),(57,1),(58,1),(115,1),(122,1),(148,1),(157,1),(169,1)}
        32:{1,3,5,7}:{(14,1),(15,1),(54,1),(57,1),(59,1),(115,1),(146,1),(172,1)}
        33:{2,3,5,7}:{(14,1),(16,1),(55,1),(58,1),(59,1),(115,1),(120,1),(171,1)}
        34:{1,2,4,6,7}:{(15,1),(16,1),(59,1),(60,1),(110,1),(112,1),(116,1),(170,1)}
        35:{3,4,5,6}:{(19,1),(53,1),(61,1),(62,1),(118,1),(169,1)}
        36:{1,3,5,6}:{(17,1),(20,1),(61,1),(63,1),(118,1),(146,1)}
        37:{1,2,4,6}:{(17,1),(18,1),(63,1),(64,1),(119,1)}
        38:{2,3,5,7}:{(18,1),(64,1),(65,1),(115,1),(120,1)}
        39:{1,4,5,7}:{(19,1),(20,1),(22,1),(61,1)}
        40:{2,4,5,7}:{(19,1),(23,1),(62,1),(66,1)}
        41:{1,2,5,7}:{(20,1),(21,1),(63,1),(68,1)}
        42:{2,3,6,7}:{(21,1),(64,1),(68,1),(70,1)}
        43:{2,3,4,6,7}:{(23,1),(66,1),(69,1),(70,1),(109,1),(122,1)}
        44:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(67,1),(70,1),(110,1)}
        45:{2,3,4,6}:{(25,1),(72,1),(73,1),(82,1),(133,1),(159,1)}
        46:{1,2,4,5,7}:{(25,1),(73,1),(74,1),(77,1),(85,1),(129,1),(135,1),(160,1)}
        47:{3,4,5,7}:{(27,1),(71,1),(75,1),(76,1),(128,1)}
        48:{2,3,5,7}:{(26,1),(72,1),(76,1),(77,1),(128,1)}
        49:{1,2,4,6,7}:{(26,1),(73,1),(77,1),(78,1),(129,1)}
        50:{1,4,6,7}:{(27,1),(28,1),(75,1),(81,1),(129,1)}
        51:{2,4,6,7}:{(27,1),(29,1),(76,1),(82,1),(161,1)}
        52:{1,2,5,6,7}:{(28,1),(29,1),(77,1),(80,1),(83,1),(127,1)}
        53:{3,4,6}:{(30,1),(31,1),(81,1),(82,1),(133,1)}
        54:{1,3,5,6}:{(30,1),(32,1),(81,1),(83,1),(133,1)}
        55:{2,3,5,6}:{(30,1),(33,1),(82,1),(83,1),(133,1)}
        56:{1,2,3,5,7}:{(38,1),(74,1),(84,1),(85,1),(135,1)}
        57:{1,4,5,7}:{(31,1),(32,1),(81,1),(129,1),(142,1),(160,1),(167,1)}
        58:{2,4,5,7}:{(31,1),(33,1),(82,1),(96,1),(141,1),(161,1),(173,1)}
        59:{1,2,5,7}:{(32,1),(33,1),(34,1),(83,1),(135,1),(174,1)}
        60:{1,2,3,6,7}:{(34,1),(42,1),(78,1),(84,1),(89,1),(97,1),(130,1),(133,1),(162,1)}
        61:{1,4,5,6}:{(35,1),(36,1),(39,1),(81,1),(160,1)}
        62:{2,4,5,6}:{(35,1),(40,1),(82,1),(90,1),(173,1)}
        63:{1,2,5,6}:{(36,1),(37,1),(41,1),(92,1),(135,1)}
        64:{2,3,6}:{(37,1),(38,1),(133,1)}
        65:{2,3,4,7}:{(38,1),(85,1),(93,1),(96,1),(138,1)}
        66:{2,3,5,7}:{(40,1),(43,1),(90,1),(94,1),(95,1)}
        67:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(44,1),(91,1),(94,1),(95,1),(96,1),(142,1)}
        68:{2,3,5,7}:{(41,1),(42,1),(92,1),(95,1),(96,1)}
        69:{1,2,4,6,7}:{(43,1),(94,1),(97,1),(132,1),(142,1)}
        70:{3,6,7}:{(44,1),(95,1),(133,1)}
        71:{3,4,5,6}:{(47,1),(53,1),(98,1),(99,1),(144,1),(157,1)}
        72:{2,3,5,6}:{(45,1),(48,1),(99,1),(100,1),(120,1),(144,1)}
        73:{1,2,4,6}:{(45,1),(46,1),(100,1),(101,1),(145,1)}
        74:{1,3,5,7}:{(46,1),(101,1),(102,1),(115,1),(146,1)}
        75:{1,4,5,7}:{(47,1),(50,1),(98,1),(103,1)}
        76:{2,4,5,7}:{(47,1),(48,1),(51,1),(99,1)}
        77:{1,2,5,7}:{(48,1),(49,1),(100,1),(105,1)}
        78:{1,3,6,7}:{(49,1),(101,1),(105,1),(107,1)}
        79:{1,3,4,6,7}:{(50,1),(103,1),(106,1),(107,1),(108,1),(148,1)}
        80:{1,2,4,6,7}:{(50,1),(51,1),(52,1),(104,1),(107,1),(110,1)}
        81:{1,4,6}:{(53,1),(54,1),(57,1)}
        82:{2,4,6}:{(53,1),(55,1),(58,1)}
        83:{1,2,5,6}:{(54,1),(55,1),(59,1),(110,1)}
        84:{1,2,3,6}:{(56,1),(64,1),(101,1),(112,1)}
        85:{1,2,4,7}:{(56,1),(65,1),(102,1),(112,1)}
        86:{1,3,4,5,7}:{(57,1),(103,1),(108,1),(113,1),(115,1),(148,1),(155,1),(169,1),(172,1)}
        87:{2,3,4,5,7}:{(58,1),(66,1),(109,1),(114,1),(115,1),(122,1),(154,1),(157,1),(171,1)}
        88:{1,2,4,5,7}:{(57,1),(58,1),(59,1),(110,1),(115,1),(116,1),(152,1)}
        89:{1,2,3,5,7}:{(59,1),(60,1),(68,1),(105,1),(111,1),(115,1),(116,1),(121,1),(147,1)}
        90:{2,3,5,6}:{(62,1),(66,1),(109,1),(117,1),(118,1),(171,1)}
        91:{1,2,4,5,6}:{(61,1),(62,1),(63,1),(67,1),(110,1),(117,1),(118,1),(119,1),(152,1),(156,1)}
        92:{2,3,5,6}:{(63,1),(64,1),(68,1),(118,1),(119,1),(120,1)}
        93:{2,3,4,6}:{(64,1),(65,1),(112,1),(119,1),(120,1),(151,1)}
        94:{1,2,5,7}:{(66,1),(69,1),(117,1),(121,1)}
        95:{3,5,7}:{(67,1),(70,1),(118,1),(122,1)}
        96:{2,4,7}:{(68,1),(119,1),(122,1)}
        97:{1,3,6,7}:{(69,1),(70,1),(121,1),(150,1)}
        98:{1,4,5,6}:{(71,1),(75,1),(81,1),(123,1),(167,1)}
        99:{2,4,5,6}:{(71,1),(72,1),(76,1),(82,1),(141,1)}
       100:{1,2,5,6}:{(72,1),(73,1),(77,1),(125,1),(135,1)}
       101:{1,3,6}:{(73,1),(74,1),(133,1)}
       102:{1,3,4,7}:{(74,1),(85,1),(126,1),(129,1),(138,1)}
       103:{1,3,5,7}:{(75,1),(79,1),(123,1),(127,1),(128,1)}
       104:{1,2,4,5,7}:{(75,1),(76,1),(77,1),(80,1),(124,1),(127,1),(128,1),(129,1),(161,1)}
       105:{1,3,5,7}:{(77,1),(78,1),(125,1),(128,1),(129,1)}
       106:{1,2,4,6,7}:{(79,1),(127,1),(130,1),(131,1),(161,1)}
       107:{3,6,7}:{(80,1),(128,1),(133,1)}
       108:{1,3,4,6}:{(81,1),(86,1),(123,1),(131,1),(133,1),(159,1)}
       109:{2,3,4,6}:{(82,1),(87,1),(90,1),(132,1),(133,1),(140,1)}
       110:{1,2,4,6}:{(81,1),(82,1),(83,1),(88,1),(133,1)}
       111:{1,2,3,5,6}:{(83,1),(84,1),(89,1),(92,1),(125,1),(133,1),(134,1),(135,1),(139,1),(158,1),(162,1),(165,1),(174,1)}
       112:{1,2,4,6}:{(84,1),(85,1),(93,1),(126,1),(135,1)}
       113:{1,2,4,5,7}:{(86,1),(127,1),(131,1),(136,1),(161,1),(166,1),(173,1),(174,1)}
       114:{1,2,4,5,7}:{(87,1),(94,1),(132,1),(137,1),(142,1),(166,1),(167,1),(174,1)}
       115:{3,5,7}:{(88,1),(133,1),(138,1),(165,1)}
       116:{1,2,4,7}:{(89,1),(96,1),(129,1),(134,1),(138,1),(142,1),(161,1)}
       117:{1,2,5,6}:{(90,1),(94,1),(132,1),(139,1),(174,1)}
       118:{3,5,6}:{(91,1),(95,1),(133,1),(140,1),(165,1)}
       119:{2,4,6}:{(92,1),(96,1),(140,1),(141,1)}
       120:{2,3,5}:{(93,1),(135,1),(141,1),(165,1)}
       121:{1,3,5,7}:{(94,1),(95,1),(97,1),(139,1),(142,1)}
       122:{3,4,7}:{(95,1),(96,1),(140,1),(142,1)}
       123:{1,3,5,6}:{(98,1),(103,1),(108,1),(143,1),(144,1),(172,1)}
       124:{1,2,4,5,6}:{(98,1),(99,1),(100,1),(104,1),(110,1),(143,1),(144,1),(145,1),(152,1),(168,1)}
       125:{1,3,5,6}:{(100,1),(101,1),(105,1),(144,1),(145,1),(146,1)}
       126:{1,3,4,6}:{(101,1),(102,1),(112,1),(145,1),(146,1),(151,1)}
       127:{1,2,5,7}:{(103,1),(106,1),(143,1),(147,1)}
       128:{3,5,7}:{(104,1),(107,1),(144,1),(148,1)}
       129:{1,4,7}:{(105,1),(145,1),(148,1)}
       130:{2,3,6,7}:{(106,1),(107,1),(147,1),(149,1)}
       131:{1,2,4,6}:{(108,1),(113,1),(143,1),(149,1),(168,1)}
       132:{1,2,4,6}:{(109,1),(114,1),(117,1),(150,1),(156,1)}
       133:{3,6}:{(110,1),(115,1)}
       134:{1,2,4,6}:{(111,1),(116,1),(119,1),(145,1),(151,1),(152,1),(156,1),(168,1)}
       135:{1,2,5}:{(112,1),(120,1),(146,1)}
       136:{2,3,5,7}:{(113,1),(115,1),(149,1),(154,1),(171,1)}
       137:{1,3,5,7}:{(114,1),(115,1),(150,1),(155,1),(172,1)}
       138:{3,4,7}:{(115,1),(116,1),(151,1)}
       139:{1,3,5,6}:{(117,1),(118,1),(121,1),(150,1),(156,1),(172,1)}
       140:{3,4,6}:{(118,1),(119,1),(122,1),(156,1),(157,1)}
       141:{2,4,5}:{(119,1),(120,1),(157,1)}
       142:{1,4,7}:{(121,1),(122,1),(156,1)}
       143:{1,2,5,6}:{(123,1),(127,1),(131,1),(158,1),(174,1)}
       144:{3,5,6}:{(124,1),(128,1),(133,1),(159,1),(165,1)}
       145:{1,4,6}:{(125,1),(129,1),(159,1),(160,1)}
       146:{1,3,5}:{(126,1),(135,1),(160,1),(165,1)}
       147:{2,3,5,7}:{(127,1),(128,1),(130,1),(158,1),(161,1)}
       148:{3,4,7}:{(128,1),(129,1),(159,1),(161,1)}
       149:{2,3,6}:{(131,1),(133,1),(136,1)}
       150:{1,3,6}:{(132,1),(133,1),(137,1)}
       151:{3,4,6}:{(133,1),(134,1),(138,1),(165,1)}
       152:{1,2,4,5}:{(134,1),(135,1),(141,1),(160,1),(165,1),(167,1),(173,1),(174,1)}
       153:{1,2,3,5,7}:{(136,1),(137,1),(162,1),(166,1),(174,1)}
       154:{2,3,4,7}:{(136,1),(138,1),(161,1),(163,1),(166,1)}
       155:{1,3,4,7}:{(137,1),(138,1),(142,1),(164,1),(166,1)}
       156:{1,4,6}:{(139,1),(140,1),(142,1),(167,1)}
       157:{3,4,5}:{(140,1),(141,1),(165,1),(167,1)}
       158:{2,3,5,6}:{(143,1),(144,1),(147,1),(149,1),(168,1),(171,1)}
       159:{3,4,6}:{(144,1),(145,1),(148,1),(168,1),(169,1)}
       160:{1,4,5}:{(145,1),(146,1),(169,1)}
       161:{2,4,7}:{(147,1),(148,1),(168,1)}
       162:{1,2,3,6}:{(149,1),(150,1),(153,1),(170,1)}
       163:{2,3,4,6}:{(149,1),(151,1),(154,1),(168,1),(170,1),(171,1)}
       164:{1,3,4,6}:{(150,1),(151,1),(155,1),(156,1),(170,1),(172,1)}
       165:{3,5}:{(151,1),(152,1)}
       166:{1,2,4,7}:{(153,1),(154,1),(155,1),(170,1)}
       167:{1,4,5}:{(156,1),(157,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(161,1),(173,1)}
       169:{3,4,5}:{(159,1),(160,1),(165,1),(173,1)}
       170:{1,2,4,6}:{(162,1),(163,1),(164,1),(166,1),(174,1)}
       171:{2,3,5}:{(163,1),(165,1),(173,1),(174,1)}
       172:{1,3,5}:{(164,1),(165,1),(167,1),(174,1)}
       173:{2,4,5}:{(168,1),(169,1),(171,1)}
       174:{1,2,5}:{(170,1),(171,1),(172,1)}

2030 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(18,1),(37,1),(38,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(24,1),(47,1)}
        2:{1,2,4,5,7}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,5,6}:{(1,1),(5,1),(12,1),(34,1),(37,1)}
        4:{3,4,5,7}:{(2,1),(10,1),(24,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(10,1)}
        6:{1,2,3,5,6,7}:{(3,1),(11,1),(24,1),(40,1),(41,1),(47,1),(48,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(30,1),(31,1),(34,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(16,1),(35,1),(52,1),(62,1)}
        9:{1,3,4,5,7}:{(4,1),(15,1),(17,1),(36,1),(52,1),(62,1)}
       10:{3,4,6}:{(4,1),(5,1),(12,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(13,1),(18,1),(49,1),(50,1)}
       12:{3,5,6}:{(7,1),(10,1),(24,1)}
       13:{1,2,4,5,7}:{(7,1),(11,1),(24,1),(43,1),(44,1),(47,1)}
       14:{1,2,3,4,7}:{(21,1),(25,1),(60,1)}
       15:{1,2,4,5,7}:{(8,1),(9,1),(25,1),(26,1),(45,1),(47,1),(60,1)}
       16:{2,3,4,6}:{(8,1),(10,1),(22,1),(26,1),(58,1)}
       17:{1,3,4,6}:{(9,1),(10,1),(23,1),(26,1),(58,1)}
       18:{3,4,6,7}:{(10,1),(11,1),(24,1)}
       19:{1,2,4,5,6,7}:{(13,1),(29,1),(49,1),(50,1),(51,1)}
       20:{3,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(53,1)}
       21:{1,2,3,4,6}:{(14,1),(33,1),(37,1),(55,1)}
       22:{2,3,5,6}:{(12,1),(16,1),(30,1),(34,1),(35,1),(53,1)}
       23:{1,3,5,6}:{(12,1),(17,1),(31,1),(34,1),(36,1),(53,1)}
       24:{3,5,7}:{(12,1),(13,1),(18,1)}
       25:{1,2,3,5,7}:{(14,1),(15,1),(33,1),(37,1)}
       26:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(37,1)}
       27:{2,3,4,6,7}:{(16,1),(18,1),(35,1),(38,1),(49,1),(61,1),(62,1)}
       28:{1,3,4,6,7}:{(17,1),(18,1),(36,1),(38,1),(50,1),(61,1),(62,1)}
       29:{3,5,6,7}:{(19,1),(24,1),(39,1)}
       30:{2,4,5,6}:{(20,1),(22,1),(43,1)}
       31:{1,4,5,6}:{(20,1),(23,1),(44,1)}
       32:{3,4,5,7}:{(20,1),(24,1),(39,1),(43,1),(44,1),(59,1)}
       33:{1,2,3,5}:{(21,1),(45,1)}
       34:{1,2,5,6}:{(22,1),(23,1),(26,1),(47,1)}
       35:{2,3,5,7}:{(22,1),(24,1),(27,1),(43,1),(47,1),(59,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(28,1),(44,1),(47,1),(59,1)}
       37:{1,2,3,6}:{(25,1),(26,1)}
       38:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(47,1),(48,1),(60,1)}
       39:{3,4,6,7}:{(29,1),(32,1),(49,1),(50,1),(61,1)}
       40:{2,3,5,6,7}:{(29,1),(35,1),(49,1),(51,1),(61,1)}
       41:{1,3,5,6,7}:{(29,1),(36,1),(50,1),(51,1),(61,1)}
       42:{1,2,4,5,6}:{(30,1),(31,1),(34,1),(53,1),(54,1),(55,1)}
       43:{2,4,5,7}:{(30,1),(32,1),(35,1),(49,1)}
       44:{1,4,5,7}:{(31,1),(32,1),(36,1),(50,1)}
       45:{1,2,4,5}:{(33,1),(52,1),(55,1)}
       46:{1,2,3,5,6}:{(33,1),(34,1),(37,1),(53,1),(55,1),(56,1)}
       47:{1,2,5,7}:{(34,1),(35,1),(36,1),(38,1)}
       48:{1,2,3,6,7}:{(37,1),(38,1),(56,1),(61,1)}
       49:{2,4,6,7}:{(39,1),(40,1),(43,1)}
       50:{1,4,6,7}:{(39,1),(41,1),(44,1)}
       51:{1,2,5,6,7}:{(40,1),(41,1),(47,1),(57,1)}
       52:{3,4,5}:{(45,1),(58,1)}
       53:{3,5,6}:{(42,1),(58,1),(59,1)}
       54:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(47,1),(57,1),(59,1),(60,1)}
       55:{1,2,4,6}:{(45,1),(46,1),(58,1),(60,1)}
       56:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(59,1),(60,1)}
       57:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(54,1),(61,1)}
       58:{3,4,6}:{(52,1),(53,1),(55,1),(62,1)}
       59:{3,5,7}:{(53,1),(54,1),(61,1),(62,1)}
       60:{1,2,4,7}:{(55,1),(56,1),(62,1)}
       61:{3,6,7}:{(57,1),(59,1)}
       62:{3,4,7}:{(58,1),(59,1),(60,1)}

2031 :   0:{2,3,4,5,7}:{(3,1),(4,1),(25,1),(39,1),(94,1),(143,1),(147,1),(150,1),(186,1),(191,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(31,1),(33,1),(86,1),(144,1),(149,1),(153,1),(186,1),(193,1)}
         2:{1,4,5,6,7}:{(7,1),(40,1),(182,1)}
         3:{2,3,4,6}:{(0,1),(11,1),(12,1),(116,1),(176,1),(201,1),(203,1)}
         4:{1,2,4,5,7}:{(0,1),(12,1),(13,1),(47,1),(52,1),(108,1),(113,1),(117,1)}
         5:{1,3,4,6}:{(1,1),(16,1),(17,1),(123,1),(172,1),(201,1),(204,1)}
         6:{1,2,4,5,7}:{(1,1),(17,1),(18,1),(47,1),(60,1),(108,1),(120,1),(124,1)}
         7:{3,5,6,7}:{(2,1),(19,1),(21,1),(197,1)}
         8:{2,4,5,6,7}:{(22,1),(70,1),(156,1)}
         9:{2,3,4,6,7}:{(3,1),(25,1),(26,1),(70,1),(129,1),(143,1),(180,1)}
        10:{3,4,5,6}:{(24,1),(27,1),(28,1),(84,1),(153,1),(194,1)}
        11:{2,3,5,6}:{(3,1),(25,1),(28,1),(29,1),(84,1),(94,1),(205,1)}
        12:{1,2,4,6}:{(3,1),(4,1),(29,1),(30,1),(85,1)}
        13:{1,3,5,7}:{(4,1),(30,1),(31,1),(86,1),(186,1)}
        14:{1,3,4,6,7}:{(5,1),(33,1),(34,1),(40,1),(96,1),(149,1),(154,1)}
        15:{3,4,5,6}:{(32,1),(35,1),(36,1),(92,1),(147,1),(192,1)}
        16:{1,3,5,6}:{(5,1),(33,1),(35,1),(37,1),(86,1),(92,1),(195,1)}
        17:{1,2,4,6}:{(5,1),(6,1),(37,1),(38,1),(93,1)}
        18:{2,3,5,7}:{(6,1),(38,1),(39,1),(94,1),(186,1)}
        19:{3,4,6,7}:{(7,1),(32,1),(40,1),(41,1),(96,1),(192,1)}
        20:{1,3,5,6,7}:{(7,1),(33,1),(40,1),(42,1),(96,1),(145,1)}
        21:{2,5,6,7}:{(7,1),(41,1),(205,1)}
        22:{3,5,6,7}:{(8,1),(43,1),(44,1),(179,1)}
        23:{1,2,3,5,7}:{(13,1),(18,1),(46,1),(47,1),(108,1)}
        24:{3,4,5,7}:{(10,1),(43,1),(50,1),(51,1),(112,1)}
        25:{2,3,5,7}:{(9,1),(11,1),(51,1),(52,1),(112,1),(196,1)}
        26:{1,2,4,6,7}:{(9,1),(12,1),(52,1),(53,1),(113,1)}
        27:{1,4,5,6}:{(10,1),(50,1),(54,1),(177,1),(204,1)}
        28:{2,4,5,6}:{(10,1),(11,1),(51,1),(124,1),(176,1)}
        29:{1,2,5,6}:{(11,1),(12,1),(52,1),(56,1),(108,1)}
        30:{1,3,6}:{(12,1),(13,1),(201,1)}
        31:{1,3,4,7}:{(13,1),(47,1),(57,1),(113,1),(162,1)}
        32:{3,4,5,7}:{(15,1),(19,1),(58,1),(59,1),(119,1)}
        33:{1,3,5,7}:{(14,1),(16,1),(58,1),(60,1),(119,1),(178,1)}
        34:{1,2,4,6,7}:{(14,1),(17,1),(60,1),(61,1),(120,1)}
        35:{1,4,5,6}:{(15,1),(16,1),(58,1),(117,1),(172,1)}
        36:{2,4,5,6}:{(15,1),(59,1),(62,1),(173,1),(203,1)}
        37:{1,2,5,6}:{(16,1),(17,1),(60,1),(64,1),(108,1)}
        38:{2,3,6}:{(17,1),(18,1),(201,1)}
        39:{2,3,4,7}:{(18,1),(47,1),(65,1),(120,1),(162,1)}
        40:{1,4,6,7}:{(19,1),(20,1),(58,1),(172,1)}
        41:{2,4,6,7}:{(19,1),(21,1),(59,1),(66,1),(203,1)}
        42:{1,2,5,6,7}:{(20,1),(21,1),(60,1),(67,1),(68,1),(164,1),(178,1)}
        43:{3,4,6,7}:{(22,1),(24,1),(69,1),(70,1),(129,1),(194,1)}
        44:{1,5,6,7}:{(22,1),(69,1),(195,1)}
        45:{2,3,5,6,7}:{(22,1),(25,1),(70,1),(71,1),(129,1),(151,1)}
        46:{1,2,3,6}:{(23,1),(30,1),(38,1),(76,1)}
        47:{1,2,4,7}:{(23,1),(31,1),(39,1),(76,1)}
        48:{1,3,4,5}:{(73,1),(77,1),(141,1),(147,1),(190,1)}
        49:{2,3,4,5}:{(74,1),(78,1),(140,1),(153,1),(189,1)}
        50:{1,4,5,7}:{(24,1),(27,1),(69,1),(79,1)}
        51:{2,4,5,7}:{(24,1),(25,1),(28,1),(70,1)}
        52:{1,2,5,7}:{(25,1),(26,1),(29,1),(81,1)}
        53:{1,3,6,7}:{(26,1),(30,1),(81,1),(129,1)}
        54:{1,3,5,6}:{(27,1),(73,1),(79,1),(83,1),(84,1),(190,1),(208,1)}
        55:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(80,1),(83,1),(84,1),(85,1),(138,1),(146,1),(182,1),(187,1),(205,1)}
        56:{1,3,5,6}:{(29,1),(30,1),(81,1),(84,1),(85,1),(86,1)}
        57:{1,3,4,6}:{(30,1),(31,1),(76,1),(85,1),(86,1),(137,1)}
        58:{1,4,5,7}:{(32,1),(33,1),(35,1),(40,1)}
        59:{2,4,5,7}:{(32,1),(36,1),(41,1),(87,1)}
        60:{1,2,5,7}:{(33,1),(34,1),(37,1),(89,1)}
        61:{2,3,6,7}:{(34,1),(38,1),(89,1),(96,1)}
        62:{2,3,5,6}:{(36,1),(74,1),(87,1),(91,1),(92,1),(189,1),(207,1)}
        63:{1,2,4,5,6}:{(35,1),(36,1),(37,1),(88,1),(91,1),(92,1),(93,1),(138,1),(152,1),(156,1),(187,1),(195,1)}
        64:{2,3,5,6}:{(37,1),(38,1),(89,1),(92,1),(93,1),(94,1)}
        65:{2,3,4,6}:{(38,1),(39,1),(76,1),(93,1),(94,1),(137,1)}
        66:{2,3,6,7}:{(41,1),(87,1),(95,1),(96,1),(207,1)}
        67:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(88,1),(95,1),(96,1),(97,1),(154,1),(187,1)}
        68:{2,3,5,6,7}:{(42,1),(89,1),(96,1),(97,1),(151,1),(155,1)}
        69:{1,4,6,7}:{(43,1),(44,1),(50,1),(98,1),(204,1)}
        70:{2,4,6,7}:{(43,1),(45,1),(51,1),(176,1)}
        71:{1,2,5,6,7}:{(44,1),(45,1),(52,1),(99,1),(100,1),(164,1),(196,1)}
        72:{1,2,3,6,7}:{(46,1),(53,1),(61,1),(103,1),(104,1),(125,1),(157,1),(201,1),(209,1)}
        73:{1,3,4,6}:{(48,1),(54,1),(101,1),(105,1),(116,1)}
        74:{2,3,4,6}:{(49,1),(62,1),(102,1),(106,1),(123,1)}
        75:{1,2,3,5,6}:{(46,1),(56,1),(64,1),(103,1),(107,1),(108,1),(115,1),(122,1),(164,1),(165,1),(168,1),(201,1),(202,1),(209,1)}
        76:{1,2,4,6}:{(46,1),(47,1),(57,1),(65,1),(108,1)}
        77:{1,2,4,5}:{(48,1),(105,1),(109,1),(169,1),(173,1),(202,1)}
        78:{1,2,4,5}:{(49,1),(106,1),(110,1),(169,1),(177,1),(202,1)}
        79:{1,3,5,7}:{(50,1),(54,1),(98,1),(101,1),(111,1),(112,1)}
        80:{1,2,4,5,7}:{(50,1),(51,1),(52,1),(55,1),(99,1),(111,1),(112,1),(113,1),(159,1),(170,1),(196,1)}
        81:{1,3,5,7}:{(52,1),(53,1),(56,1),(112,1),(113,1)}
        82:{1,3,4,6,7}:{(53,1),(57,1),(104,1),(113,1),(114,1),(158,1),(162,1),(172,1),(201,1)}
        83:{1,2,5,6}:{(54,1),(105,1),(111,1),(115,1),(202,1),(209,1)}
        84:{3,5,6}:{(55,1),(112,1),(116,1),(168,1),(201,1)}
        85:{1,4,6}:{(56,1),(113,1),(116,1),(117,1)}
        86:{1,3,5}:{(57,1),(108,1),(117,1),(168,1)}
        87:{2,3,5,7}:{(59,1),(62,1),(66,1),(102,1),(118,1),(119,1)}
        88:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(63,1),(67,1),(118,1),(119,1),(120,1),(127,1),(174,1),(178,1)}
        89:{2,3,5,7}:{(60,1),(61,1),(64,1),(119,1),(120,1)}
        90:{2,3,4,6,7}:{(61,1),(65,1),(104,1),(120,1),(121,1),(126,1),(162,1),(176,1),(201,1)}
        91:{1,2,5,6}:{(62,1),(106,1),(118,1),(122,1),(202,1),(209,1)}
        92:{3,5,6}:{(63,1),(119,1),(123,1),(168,1),(201,1)}
        93:{2,4,6}:{(64,1),(120,1),(123,1),(124,1)}
        94:{2,3,5}:{(65,1),(108,1),(124,1),(168,1)}
        95:{1,2,6,7}:{(66,1),(118,1),(125,1),(209,1)}
        96:{3,6,7}:{(67,1),(119,1),(201,1)}
        97:{2,4,6,7}:{(68,1),(120,1),(126,1),(127,1),(176,1)}
        98:{1,3,6,7}:{(69,1),(79,1),(128,1),(129,1),(208,1)}
        99:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(80,1),(128,1),(129,1),(130,1),(180,1),(187,1)}
       100:{1,3,5,6,7}:{(71,1),(81,1),(129,1),(130,1),(145,1),(181,1)}
       101:{1,3,4,7}:{(73,1),(79,1),(131,1),(143,1)}
       102:{2,3,4,7}:{(74,1),(87,1),(132,1),(149,1)}
       103:{1,2,3,5,7}:{(72,1),(75,1),(81,1),(89,1),(133,1),(134,1),(142,1),(148,1),(183,1),(186,1),(206,1)}
       104:{1,2,4,6,7}:{(72,1),(76,1),(82,1),(90,1),(133,1),(134,1),(154,1),(180,1),(187,1)}
       105:{1,2,4,6}:{(73,1),(77,1),(83,1),(131,1),(135,1),(146,1)}
       106:{1,2,4,6}:{(74,1),(78,1),(91,1),(132,1),(136,1),(152,1)}
       107:{1,2,4,6}:{(75,1),(85,1),(93,1),(133,1),(137,1),(138,1),(146,1),(152,1)}
       108:{1,2,5}:{(76,1),(86,1),(94,1)}
       109:{2,3,5}:{(77,1),(135,1),(140,1)}
       110:{1,3,5}:{(78,1),(136,1),(141,1)}
       111:{1,2,5,7}:{(79,1),(83,1),(128,1),(131,1),(142,1)}
       112:{3,5,7}:{(80,1),(84,1),(129,1),(143,1)}
       113:{1,4,7}:{(81,1),(85,1),(143,1)}
       114:{1,3,5,7}:{(82,1),(86,1),(134,1),(144,1),(145,1),(181,1),(186,1)}
       115:{2,3,5,6}:{(83,1),(84,1),(135,1),(142,1),(146,1),(189,1),(205,1),(207,1)}
       116:{3,4,6}:{(84,1),(85,1),(143,1),(146,1),(147,1)}
       117:{1,4,5}:{(85,1),(86,1),(147,1)}
       118:{1,2,5,7}:{(87,1),(91,1),(95,1),(132,1),(148,1)}
       119:{3,5,7}:{(88,1),(92,1),(96,1),(149,1)}
       120:{2,4,7}:{(89,1),(93,1),(149,1)}
       121:{2,3,5,7}:{(90,1),(94,1),(134,1),(150,1),(151,1),(155,1),(186,1)}
       122:{1,3,5,6}:{(91,1),(92,1),(136,1),(148,1),(152,1),(190,1),(195,1),(208,1)}
       123:{3,4,6}:{(92,1),(93,1),(149,1),(152,1),(153,1)}
       124:{2,4,5}:{(93,1),(94,1),(153,1)}
       125:{1,3,6,7}:{(95,1),(96,1),(148,1),(154,1),(208,1)}
       126:{3,4,6,7}:{(96,1),(97,1),(149,1),(154,1),(155,1),(194,1)}
       127:{2,4,5,7}:{(97,1),(155,1),(156,1)}
       128:{1,2,6,7}:{(98,1),(111,1),(157,1),(209,1)}
       129:{3,6,7}:{(99,1),(112,1),(201,1)}
       130:{1,4,6,7}:{(100,1),(113,1),(158,1),(159,1),(172,1)}
       131:{1,2,4,7}:{(101,1),(105,1),(111,1),(160,1),(170,1)}
       132:{1,2,4,7}:{(102,1),(106,1),(118,1),(161,1),(174,1)}
       133:{1,2,4,7}:{(103,1),(107,1),(113,1),(120,1),(162,1),(170,1),(174,1)}
       134:{1,2,5,7}:{(104,1),(108,1),(114,1),(121,1),(164,1),(178,1),(196,1)}
       135:{2,3,6}:{(105,1),(109,1),(160,1)}
       136:{1,3,6}:{(106,1),(110,1),(161,1)}
       137:{3,4,6}:{(107,1),(162,1),(168,1),(201,1)}
       138:{1,2,4,5}:{(107,1),(108,1),(117,1),(124,1),(168,1),(173,1),(177,1),(202,1)}
       139:{1,2,3,5}:{(109,1),(110,1),(165,1),(169,1),(202,1)}
       140:{2,3,4}:{(109,1),(169,1)}
       141:{1,3,4}:{(110,1),(169,1)}
       142:{2,3,5,7}:{(111,1),(112,1),(115,1),(157,1),(160,1),(170,1),(196,1)}
       143:{3,4,7}:{(112,1),(113,1),(116,1),(170,1)}
       144:{1,4,5,7}:{(113,1),(114,1),(117,1),(171,1),(172,1)}
       145:{1,3,5,6}:{(114,1),(164,1),(172,1),(197,1),(201,1)}
       146:{2,4,6}:{(115,1),(116,1),(170,1),(173,1)}
       147:{3,4,5}:{(116,1),(117,1),(168,1),(173,1)}
       148:{1,3,5,7}:{(118,1),(119,1),(122,1),(125,1),(161,1),(174,1),(178,1)}
       149:{3,4,7}:{(119,1),(120,1),(123,1),(174,1)}
       150:{2,4,5,7}:{(120,1),(121,1),(124,1),(175,1),(176,1)}
       151:{2,3,5,6}:{(121,1),(164,1),(176,1),(179,1),(201,1)}
       152:{1,4,6}:{(122,1),(123,1),(174,1),(177,1)}
       153:{3,4,5}:{(123,1),(124,1),(168,1),(177,1)}
       154:{1,4,6,7}:{(125,1),(126,1),(174,1),(178,1),(204,1)}
       155:{3,5,7}:{(126,1),(127,1),(178,1),(179,1)}
       156:{2,4,5,6}:{(127,1),(176,1),(179,1)}
       157:{2,3,6,7}:{(128,1),(129,1),(142,1),(180,1),(207,1)}
       158:{3,4,6,7}:{(129,1),(130,1),(143,1),(180,1),(181,1),(192,1)}
       159:{1,4,5,7}:{(130,1),(181,1),(182,1)}
       160:{2,3,7}:{(131,1),(135,1)}
       161:{1,3,7}:{(132,1),(136,1)}
       162:{3,4,7}:{(133,1),(137,1),(186,1)}
       163:{1,2,4,5,7}:{(133,1),(134,1),(138,1),(144,1),(150,1),(186,1),(187,1),(191,1),(193,1),(206,1)}
       164:{1,2,5,6}:{(134,1),(145,1),(151,1),(187,1),(195,1),(205,1)}
       165:{1,2,3,6}:{(135,1),(136,1),(139,1),(183,1),(188,1)}
       166:{2,3,4,6}:{(135,1),(137,1),(140,1),(146,1),(184,1),(188,1),(189,1),(207,1)}
       167:{1,3,4,6}:{(136,1),(137,1),(141,1),(152,1),(185,1),(188,1),(190,1),(208,1)}
       168:{3,5}:{(137,1),(138,1)}
       169:{1,2,4}:{(139,1),(140,1),(141,1)}
       170:{2,4,7}:{(142,1),(143,1),(146,1)}
       171:{3,4,5,7}:{(143,1),(144,1),(147,1),(181,1),(186,1),(191,1),(192,1)}
       172:{1,4,6}:{(144,1),(145,1),(192,1)}
       173:{2,4,5}:{(146,1),(147,1),(189,1)}
       174:{1,4,7}:{(148,1),(149,1),(152,1)}
       175:{3,4,5,7}:{(149,1),(150,1),(153,1),(155,1),(186,1),(193,1),(194,1)}
       176:{2,4,6}:{(150,1),(151,1),(194,1)}
       177:{1,4,5}:{(152,1),(153,1),(190,1)}
       178:{1,5,7}:{(154,1),(155,1),(195,1)}
       179:{3,5,6}:{(155,1),(156,1),(194,1),(195,1)}
       180:{2,4,6,7}:{(157,1),(158,1),(170,1),(196,1),(203,1)}
       181:{3,5,7}:{(158,1),(159,1),(196,1),(197,1)}
       182:{1,4,5,6}:{(159,1),(172,1),(197,1)}
       183:{1,2,3,7}:{(160,1),(161,1),(165,1),(198,1)}
       184:{2,3,4,7}:{(160,1),(162,1),(166,1),(170,1),(198,1),(199,1)}
       185:{1,3,4,7}:{(161,1),(162,1),(167,1),(174,1),(198,1),(200,1)}
       186:{3,5,7}:{(162,1),(163,1),(168,1),(201,1)}
       187:{1,2,4,6}:{(163,1),(164,1),(172,1),(176,1),(201,1),(203,1),(204,1),(209,1)}
       188:{1,2,4,6}:{(165,1),(166,1),(167,1),(169,1),(198,1),(202,1),(209,1)}
       189:{2,3,5}:{(166,1),(168,1),(173,1),(202,1)}
       190:{1,3,5}:{(167,1),(168,1),(177,1),(202,1)}
       191:{2,4,5,7}:{(170,1),(171,1),(173,1),(196,1),(199,1),(203,1)}
       192:{3,4,6}:{(171,1),(172,1),(197,1),(201,1),(203,1)}
       193:{1,4,5,7}:{(174,1),(175,1),(177,1),(178,1),(200,1),(204,1)}
       194:{3,4,6}:{(175,1),(176,1),(179,1),(201,1),(204,1)}
       195:{1,5,6}:{(178,1),(179,1),(204,1)}
       196:{2,5,7}:{(180,1),(181,1),(205,1)}
       197:{3,5,6}:{(181,1),(182,1),(192,1),(205,1)}
       198:{1,2,4,7}:{(183,1),(184,1),(185,1),(188,1),(206,1)}
       199:{2,3,5,7}:{(184,1),(186,1),(189,1),(191,1),(206,1),(207,1)}
       200:{1,3,5,7}:{(185,1),(186,1),(190,1),(193,1),(206,1),(208,1)}
       201:{3,6}:{(186,1),(187,1)}
       202:{1,2,5}:{(188,1),(189,1),(190,1)}
       203:{2,4,6}:{(191,1),(192,1),(205,1),(207,1)}
       204:{1,4,6}:{(193,1),(194,1),(195,1),(208,1)}
       205:{2,5,6}:{(196,1),(197,1),(203,1)}
       206:{1,2,5,7}:{(198,1),(199,1),(200,1),(202,1),(209,1)}
       207:{2,3,6}:{(199,1),(201,1),(203,1),(209,1)}
       208:{1,3,6}:{(200,1),(201,1),(204,1),(209,1)}
       209:{1,2,6}:{(206,1),(207,1),(208,1)}

2032 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(34,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(43,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(33,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(8,1),(20,1),(41,1),(42,1),(43,1),(45,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(20,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(28,1),(29,1),(33,1)}
        8:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(14,1),(47,1),(48,1)}
        9:{3,4,6}:{(5,1),(6,1),(13,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(31,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(32,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(38,1),(39,1),(43,1)}
       13:{3,5,6}:{(7,1),(9,1),(20,1)}
       14:{3,4,6,7}:{(8,1),(9,1),(20,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(21,1),(25,1),(57,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(22,1),(25,1),(57,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(43,1),(58,1),(59,1)}
       18:{3,4,5,6}:{(13,1),(27,1),(28,1),(29,1),(50,1)}
       19:{1,2,4,5,6,7}:{(12,1),(30,1),(47,1),(48,1),(51,1)}
       20:{3,5,7}:{(12,1),(13,1),(14,1)}
       21:{1,3,5,6}:{(13,1),(15,1),(28,1),(31,1),(33,1),(50,1)}
       22:{2,3,5,6}:{(13,1),(16,1),(29,1),(32,1),(33,1),(50,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(31,1),(34,1),(47,1),(60,1),(61,1)}
       24:{2,3,4,6,7}:{(14,1),(16,1),(32,1),(34,1),(48,1),(60,1),(61,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(33,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,4,5,7}:{(18,1),(20,1),(37,1),(38,1),(39,1),(56,1)}
       28:{1,4,5,6}:{(18,1),(21,1),(38,1)}
       29:{2,4,5,6}:{(18,1),(22,1),(39,1)}
       30:{3,5,6,7}:{(19,1),(20,1),(37,1)}
       31:{1,3,5,7}:{(20,1),(21,1),(23,1),(38,1),(43,1),(56,1)}
       32:{2,3,5,7}:{(20,1),(22,1),(24,1),(39,1),(43,1),(56,1)}
       33:{1,2,5,6}:{(21,1),(22,1),(25,1),(43,1)}
       34:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(43,1),(45,1),(58,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(58,1)}
       37:{3,4,6,7}:{(27,1),(30,1),(47,1),(48,1),(60,1)}
       38:{1,4,5,7}:{(27,1),(28,1),(31,1),(47,1)}
       39:{2,4,5,7}:{(27,1),(29,1),(32,1),(48,1)}
       40:{1,2,4,5,6}:{(28,1),(29,1),(33,1),(49,1),(50,1),(53,1)}
       41:{1,3,5,6,7}:{(30,1),(31,1),(47,1),(51,1),(60,1)}
       42:{2,3,5,6,7}:{(30,1),(32,1),(48,1),(51,1),(60,1)}
       43:{1,2,5,7}:{(31,1),(32,1),(33,1),(34,1)}
       44:{1,2,3,5,6}:{(33,1),(35,1),(50,1),(52,1),(53,1),(54,1)}
       45:{1,2,3,6,7}:{(34,1),(35,1),(52,1),(60,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(41,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(42,1)}
       49:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(55,1),(56,1),(58,1)}
       50:{3,5,6}:{(40,1),(56,1),(57,1)}
       51:{1,2,5,6,7}:{(41,1),(42,1),(43,1),(55,1)}
       52:{1,2,3,5,7}:{(43,1),(44,1),(45,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(44,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(51,1),(60,1)}
       56:{3,5,7}:{(49,1),(50,1),(60,1),(61,1)}
       57:{3,4,6}:{(50,1),(53,1),(61,1),(62,1)}
       58:{1,2,4,7}:{(52,1),(53,1),(61,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(57,1),(59,1)}

2033 :  0:{1,2,3,4,7}:{(1,1),(2,1),(31,1),(53,1)}
        1:{1,2,3,4,6}:{(0,1),(4,1),(6,1),(16,1),(18,1),(39,1)}
        2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        3:{1,3,4,5,7}:{(5,1),(7,1),(17,1),(23,1),(43,1)}
        4:{1,2,3,5}:{(1,1),(9,1)}
        5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(11,1),(31,1),(32,1)}
        6:{1,2,3,6}:{(2,1),(11,1)}
        7:{1,3,4,6}:{(3,1),(11,1),(13,1),(29,1)}
        8:{2,3,4,5,7}:{(5,1),(15,1),(17,1),(37,1),(43,1)}
        9:{1,2,4,5}:{(4,1),(17,1),(18,1)}
       10:{1,2,3,5,6}:{(4,1),(6,1),(18,1),(19,1),(20,1),(39,1),(42,1),(66,1)}
       11:{1,2,4,6}:{(5,1),(6,1),(7,1),(15,1),(20,1)}
       12:{1,2,3,6,7}:{(6,1),(19,1),(21,1),(70,1),(82,1)}
       13:{1,3,5,6}:{(7,1),(20,1),(22,1),(23,1),(42,1)}
       14:{1,3,4,6,7}:{(7,1),(21,1),(23,1),(43,1),(48,1),(70,1)}
       15:{2,3,4,6}:{(8,1),(11,1),(24,1),(29,1)}
       16:{1,2,3,4}:{(26,1)}
       17:{3,4,5}:{(9,1),(29,1)}
       18:{1,2,4,6}:{(9,1),(10,1),(29,1),(31,1)}
       19:{1,2,3,5,7}:{(10,1),(12,1),(31,1),(32,1),(53,1),(58,1),(76,1)}
       20:{1,2,5,6}:{(11,1),(13,1),(24,1),(32,1)}
       21:{1,2,4,6,7}:{(11,1),(12,1),(14,1),(25,1),(31,1),(32,1)}
       22:{1,4,5,6}:{(13,1),(33,1),(34,1)}
       23:{1,3,5,7}:{(13,1),(14,1),(32,1),(34,1),(58,1)}
       24:{2,3,5,6}:{(15,1),(20,1),(36,1),(37,1),(42,1)}
       25:{2,3,4,6,7}:{(15,1),(21,1),(37,1),(43,1),(65,1),(70,1)}
       26:{1,2,3,5}:{(16,1),(38,1),(39,1)}
       27:{1,3,4,5}:{(17,1),(38,1),(40,1)}
       28:{2,3,4,5}:{(17,1),(38,1),(41,1)}
       29:{3,4,6}:{(17,1),(18,1),(42,1),(43,1)}
       30:{1,2,4,5,6}:{(18,1),(20,1),(22,1),(36,1),(42,1),(44,1),(46,1),(63,1),(66,1)}
       31:{1,2,4,7}:{(18,1),(19,1),(43,1)}
       32:{1,2,5,7}:{(20,1),(21,1),(23,1),(37,1)}
       33:{3,4,5,6}:{(22,1),(42,1),(46,1),(47,1)}
       34:{1,4,5,7}:{(22,1),(23,1),(47,1),(48,1)}
       35:{1,3,5,6,7}:{(23,1),(45,1),(48,1),(70,1),(71,1)}
       36:{2,4,5,6}:{(24,1),(49,1),(50,1)}
       37:{2,3,5,7}:{(24,1),(25,1),(32,1),(50,1),(58,1)}
       38:{1,2,4,5}:{(26,1),(27,1),(28,1),(52,1)}
       39:{1,2,3,6}:{(26,1),(52,1),(53,1)}
       40:{1,3,4,6}:{(27,1),(29,1),(52,1),(54,1),(55,1)}
       41:{2,3,4,6}:{(28,1),(29,1),(52,1),(56,1),(57,1)}
       42:{3,5,6}:{(29,1),(30,1),(58,1)}
       43:{3,4,7}:{(29,1),(31,1),(58,1)}
       44:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(34,1),(50,1),(58,1),(59,1),(61,1),(74,1),(76,1)}
       45:{1,2,5,6,7}:{(32,1),(35,1),(51,1),(59,1),(79,1),(83,1)}
       46:{2,4,5,6}:{(33,1),(56,1),(61,1)}
       47:{3,4,5,7}:{(33,1),(34,1),(58,1),(61,1),(62,1)}
       48:{1,4,6,7}:{(34,1),(35,1),(62,1)}
       49:{3,4,5,6}:{(36,1),(42,1),(63,1),(64,1)}
       50:{2,4,5,7}:{(36,1),(37,1),(64,1),(65,1)}
       51:{2,3,5,6,7}:{(37,1),(45,1),(65,1),(70,1),(80,1)}
       52:{1,2,4,6}:{(38,1),(39,1),(40,1),(41,1),(66,1),(67,1)}
       53:{1,2,3,7}:{(39,1),(67,1)}
       54:{1,3,5,6}:{(40,1),(42,1),(63,1),(66,1),(68,1)}
       55:{1,3,4,7}:{(40,1),(43,1),(67,1),(68,1)}
       56:{2,3,5,6}:{(41,1),(42,1),(46,1),(66,1),(69,1)}
       57:{2,3,4,7}:{(41,1),(43,1),(67,1),(69,1)}
       58:{3,5,7}:{(42,1),(43,1),(44,1),(70,1)}
       59:{1,2,4,6,7}:{(44,1),(45,1),(48,1),(65,1),(70,1),(72,1),(81,1),(82,1)}
       60:{1,4,5,6,7}:{(48,1),(71,1)}
       61:{2,4,5,7}:{(46,1),(47,1),(69,1),(72,1)}
       62:{3,4,6,7}:{(47,1),(48,1),(70,1),(71,1),(72,1)}
       63:{1,4,5,6}:{(49,1),(54,1),(74,1)}
       64:{3,4,5,7}:{(49,1),(50,1),(58,1),(74,1),(75,1)}
       65:{2,4,6,7}:{(50,1),(51,1),(75,1)}
       66:{1,2,5,6}:{(52,1),(54,1),(56,1),(76,1)}
       67:{1,2,4,7}:{(52,1),(53,1),(55,1),(57,1),(76,1)}
       68:{1,3,5,7}:{(54,1),(55,1),(58,1),(74,1),(76,1),(77,1)}
       69:{2,3,5,7}:{(56,1),(57,1),(58,1),(61,1),(76,1),(78,1)}
       70:{3,6,7}:{(58,1),(59,1)}
       71:{3,5,6,7}:{(60,1),(62,1),(79,1)}
       72:{2,4,6,7}:{(61,1),(62,1),(78,1),(79,1)}
       73:{2,4,5,6,7}:{(65,1),(80,1)}
       74:{1,4,5,7}:{(63,1),(64,1),(68,1),(81,1)}
       75:{3,4,6,7}:{(64,1),(65,1),(70,1),(80,1),(81,1)}
       76:{1,2,5,7}:{(66,1),(67,1),(68,1),(69,1),(82,1)}
       77:{1,3,6,7}:{(68,1),(70,1),(81,1),(82,1)}
       78:{2,3,6,7}:{(69,1),(70,1),(72,1),(82,1)}
       79:{2,5,6,7}:{(71,1),(72,1)}
       80:{3,5,6,7}:{(73,1),(75,1),(83,1)}
       81:{1,4,6,7}:{(74,1),(75,1),(77,1),(83,1)}
       82:{1,2,6,7}:{(76,1),(77,1),(78,1)}
       83:{1,5,6,7}:{(80,1),(81,1)}

2034 :  0:{1,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,3,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,4,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,2,4,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,5,7}:{(4,1),(8,1),(9,1)}
        7:{1,3,4,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,2,4,5,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,6}:{(6,1),(12,1),(27,1)}
       10:{1,2,3,4,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{1,3,5,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6}:{(8,1),(9,1),(16,1),(23,1)}
       13:{2,3,4,5,6,7}:{(9,1),(17,1),(32,1)}
       14:{1,2,3,5,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{1,3,4,5,7}:{(11,1),(18,1),(20,1)}
       16:{1,3,5,6}:{(11,1),(12,1),(20,1)}
       17:{1,2,4,5,6,7}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,2,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(14,1),(16,1),(23,1),(31,1)}
       20:{1,3,4,6}:{(15,1),(16,1),(23,1)}
       21:{1,3,5,6,7}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,5,7}:{(18,1),(27,1),(34,1)}
       23:{1,2,4,6}:{(18,1),(19,1),(20,1),(27,1)}
       24:{1,2,3,5,6,7}:{(19,1),(21,1),(29,1),(34,1)}
       25:{1,3,4,5,6}:{(20,1),(28,1),(30,1)}
       26:{1,3,4,6,7}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,4,6}:{(22,1),(23,1),(31,1)}
       28:{1,2,4,5,6}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{1,3,4,5,7}:{(25,1),(26,1),(33,1)}
       31:{2,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{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:{2,3,5,7}:{(31,1),(32,1),(33,1)}

2035 :   0:{2,3,4,5,6}:{(2,1),(3,1),(32,1),(61,1),(71,1)}
         1:{1,2,3,4,6}:{(4,1),(5,1),(21,1),(23,1)}
         2:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(21,1),(49,1),(55,1)}
         3:{2,3,4,5,7}:{(0,1),(8,1),(9,1),(47,1),(78,1),(90,1)}
         4:{1,2,3,4,7}:{(1,1),(12,1),(35,1)}
         5:{1,2,3,5}:{(1,1),(10,1)}
         6:{1,3,4,5}:{(10,1),(15,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(16,1)}
         8:{1,2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(35,1),(65,1),(72,1)}
         9:{2,3,4,6,7}:{(3,1),(17,1),(18,1),(73,1)}
        10:{1,2,4,5}:{(5,1),(6,1),(19,1),(21,1)}
        11:{1,2,3,4,6,7}:{(4,1),(22,1),(23,1),(50,1),(52,1),(82,1),(86,1),(120,1),(121,1)}
        12:{1,2,3,5,7}:{(4,1),(5,1),(20,1),(23,1)}
        13:{1,2,3,5,6}:{(5,1),(7,1),(21,1),(23,1),(24,1),(45,1),(49,1)}
        14:{1,3,4,5,7}:{(6,1),(20,1),(26,1),(27,1),(51,1),(56,1)}
        15:{1,3,4,6}:{(6,1),(7,1),(21,1),(27,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(27,1),(28,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(28,1),(29,1),(57,1)}
        18:{2,3,5,6,7}:{(9,1),(29,1),(30,1),(58,1),(78,1)}
        19:{2,3,4,5}:{(10,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(12,1),(14,1),(31,1),(34,1),(35,1),(65,1)}
        21:{1,2,4,6}:{(10,1),(13,1),(15,1),(32,1),(35,1)}
        22:{1,2,3,5,7}:{(11,1),(36,1),(37,1),(65,1),(101,1),(135,1)}
        23:{1,2,3,6}:{(12,1),(34,1)}
        24:{1,2,3,5,7}:{(13,1),(16,1),(35,1),(38,1),(60,1),(65,1)}
        25:{1,3,4,5,6}:{(15,1),(33,1),(39,1),(40,1),(95,1)}
        26:{1,3,4,6}:{(14,1),(34,1),(40,1),(68,1)}
        27:{1,3,4,7}:{(15,1),(16,1),(35,1)}
        28:{1,3,6,7}:{(16,1),(17,1)}
        29:{1,2,5,6,7}:{(17,1),(18,1),(42,1),(65,1)}
        30:{2,4,5,6,7}:{(18,1),(44,1),(96,1)}
        31:{2,3,4,5,7}:{(19,1),(20,1),(46,1),(47,1),(51,1),(78,1)}
        32:{2,3,4,6}:{(19,1),(21,1),(45,1),(47,1)}
        33:{1,2,4,5,6}:{(21,1),(25,1),(45,1),(48,1),(49,1),(77,1)}
        34:{1,2,4,6}:{(20,1),(23,1),(26,1),(46,1),(49,1)}
        35:{1,2,4,7}:{(21,1),(24,1),(27,1),(47,1)}
        36:{1,2,4,5,7}:{(22,1),(51,1),(52,1)}
        37:{1,2,3,5,6}:{(22,1),(23,1),(49,1),(52,1),(80,1),(117,1),(120,1)}
        38:{1,2,3,6,7}:{(23,1),(24,1),(28,1),(50,1),(76,1)}
        39:{1,3,4,5,7}:{(25,1),(27,1),(48,1),(54,1),(56,1),(114,1)}
        40:{1,3,5,6}:{(26,1),(49,1),(55,1),(56,1),(80,1)}
        41:{1,3,4,6,7}:{(26,1),(27,1),(28,1),(50,1),(56,1),(57,1),(86,1)}
        42:{1,3,5,6,7}:{(28,1),(29,1),(56,1),(57,1),(58,1)}
        43:{1,2,4,5,6,7}:{(29,1),(30,1),(57,1),(58,1),(59,1),(81,1),(91,1),(93,1)}
        44:{3,4,5,6,7}:{(30,1),(58,1),(59,1),(114,1)}
        45:{2,3,5,6}:{(32,1),(33,1),(60,1)}
        46:{2,3,4,6}:{(31,1),(34,1),(61,1),(68,1)}
        47:{2,3,4,7}:{(32,1),(35,1),(60,1)}
        48:{1,2,4,5,7}:{(33,1),(35,1),(39,1),(60,1),(63,1),(65,1),(96,1)}
        49:{1,2,5,6}:{(34,1),(40,1),(61,1),(65,1)}
        50:{1,2,4,6,7}:{(34,1),(35,1),(38,1),(41,1),(62,1),(65,1)}
        51:{3,4,5,7}:{(36,1),(68,1),(101,1)}
        52:{1,2,4,6}:{(36,1),(37,1),(68,1)}
        53:{1,2,3,5,6,7}:{(37,1),(38,1),(42,1),(65,1),(69,1),(74,1),(94,1),(101,1),(132,1),(135,1),(136,1)}
        54:{1,3,4,6,7}:{(39,1),(63,1),(70,1),(127,1)}
        55:{1,4,5,6}:{(40,1),(71,1),(72,1)}
        56:{1,3,5,7}:{(40,1),(41,1),(65,1),(72,1),(101,1)}
        57:{1,4,6,7}:{(42,1),(72,1),(73,1)}
        58:{3,5,6,7}:{(43,1),(73,1),(101,1)}
        59:{1,4,5,6,7}:{(44,1),(75,1),(130,1)}
        60:{2,3,5,7}:{(45,1),(47,1),(48,1),(76,1)}
        61:{2,3,5,6}:{(46,1),(49,1),(77,1),(78,1),(80,1)}
        62:{2,3,4,6,7}:{(46,1),(47,1),(50,1),(76,1),(78,1),(86,1),(111,1)}
        63:{1,2,4,6,7}:{(48,1),(54,1),(76,1),(79,1),(111,1)}
        64:{1,2,4,5,6}:{(49,1),(52,1),(55,1),(77,1),(80,1),(81,1),(88,1),(113,1),(117,1)}
        65:{1,2,5,7}:{(49,1),(50,1),(56,1),(78,1)}
        66:{2,3,4,5,7}:{(51,1),(83,1),(84,1),(118,1),(123,1),(147,1)}
        67:{1,3,4,5,7}:{(51,1),(83,1),(85,1),(119,1),(141,1),(153,1)}
        68:{3,4,6}:{(51,1),(52,1),(80,1)}
        69:{1,2,4,6,7}:{(52,1),(53,1),(57,1),(81,1),(86,1),(91,1),(111,1),(140,1)}
        70:{1,3,5,6,7}:{(54,1),(56,1),(79,1),(87,1),(115,1)}
        71:{3,4,5,6}:{(55,1),(80,1),(88,1),(90,1)}
        72:{1,4,5,7}:{(55,1),(56,1),(57,1),(90,1)}
        73:{3,4,6,7}:{(57,1),(58,1),(90,1),(91,1)}
        74:{2,3,5,6,7}:{(58,1),(91,1),(93,1),(118,1),(126,1)}
        75:{1,3,5,6,7}:{(58,1),(59,1),(92,1),(93,1),(119,1)}
        76:{2,3,6,7}:{(60,1),(63,1)}
        77:{2,4,5,6}:{(61,1),(95,1),(96,1)}
        78:{2,3,5,7}:{(61,1),(62,1),(65,1),(96,1),(101,1)}
        79:{1,2,5,6,7}:{(63,1),(65,1),(70,1),(94,1)}
        80:{3,5,6}:{(64,1),(68,1),(101,1)}
        81:{1,2,4,5,7}:{(64,1),(65,1),(69,1),(72,1),(96,1),(101,1),(108,1),(130,1),(135,1)}
        82:{1,2,3,4,7}:{(98,1),(102,1),(151,1)}
        83:{1,2,4,5,7}:{(66,1),(67,1),(102,1),(103,1),(133,1),(135,1),(151,1)}
        84:{2,3,4,6}:{(66,1),(68,1),(99,1),(103,1)}
        85:{1,3,4,6}:{(67,1),(68,1),(100,1),(103,1)}
        86:{3,4,6,7}:{(68,1),(69,1),(101,1)}
        87:{1,4,5,6,7}:{(70,1),(72,1),(106,1)}
        88:{2,4,5,6}:{(71,1),(99,1),(108,1)}
        89:{1,3,4,5,6}:{(71,1),(100,1),(107,1),(109,1),(149,1)}
        90:{3,4,5,7}:{(71,1),(72,1),(73,1),(101,1),(108,1)}
        91:{2,4,6,7}:{(73,1),(74,1),(108,1)}
        92:{1,3,4,6,7}:{(73,1),(75,1),(109,1),(110,1)}
        93:{1,2,5,6,7}:{(74,1),(75,1),(110,1),(135,1)}
        94:{2,3,5,6,7}:{(76,1),(78,1),(79,1),(111,1),(115,1)}
        95:{3,4,5,6}:{(77,1),(80,1),(113,1),(114,1)}
        96:{2,4,5,7}:{(77,1),(78,1),(111,1),(114,1)}
        97:{1,2,4,5,6,7}:{(79,1),(81,1),(87,1),(111,1),(115,1),(122,1),(140,1),(144,1)}
        98:{1,2,3,4,6}:{(82,1),(116,1),(120,1),(145,1)}
        99:{2,3,5,6}:{(80,1),(84,1),(88,1),(117,1),(118,1)}
       100:{1,3,5,6}:{(80,1),(85,1),(113,1),(117,1),(119,1)}
       101:{3,5,7}:{(80,1),(81,1),(86,1)}
       102:{1,2,3,5,7}:{(82,1),(83,1),(116,1),(120,1)}
       103:{1,2,4,6}:{(83,1),(84,1),(85,1),(117,1),(120,1)}
       104:{2,3,4,6,7}:{(84,1),(86,1),(91,1),(118,1),(121,1),(126,1),(147,1)}
       105:{1,3,4,6,7}:{(85,1),(86,1),(119,1),(121,1),(140,1),(152,1),(153,1)}
       106:{3,4,5,6,7}:{(87,1),(90,1),(115,1),(122,1)}
       107:{1,2,4,5,6}:{(88,1),(89,1),(117,1),(124,1),(125,1),(145,1)}
       108:{2,4,5,7}:{(88,1),(90,1),(91,1),(118,1)}
       109:{1,3,4,5,7}:{(89,1),(90,1),(92,1),(119,1),(125,1),(153,1)}
       110:{1,2,4,6,7}:{(91,1),(92,1),(93,1),(125,1),(126,1)}
       111:{2,4,6,7}:{(94,1),(96,1),(127,1)}
       112:{2,3,4,5,6}:{(95,1),(99,1),(128,1),(129,1),(137,1)}
       113:{1,4,5,6}:{(95,1),(100,1),(130,1)}
       114:{3,4,5,7}:{(95,1),(96,1),(101,1),(127,1),(130,1)}
       115:{3,5,6,7}:{(97,1),(101,1),(127,1)}
       116:{1,2,3,5}:{(98,1),(133,1)}
       117:{1,2,5,6}:{(99,1),(100,1),(103,1),(135,1)}
       118:{2,3,5,7}:{(99,1),(101,1),(104,1),(108,1),(135,1)}
       119:{1,3,5,7}:{(100,1),(101,1),(105,1),(130,1),(135,1)}
       120:{1,2,3,6}:{(102,1),(103,1)}
       121:{1,2,4,6,7}:{(103,1),(104,1),(105,1),(135,1),(136,1),(151,1)}
       122:{2,4,5,6,7}:{(106,1),(108,1),(131,1)}
       123:{2,3,4,5}:{(133,1),(137,1)}
       124:{2,3,5,6}:{(107,1),(137,1),(138,1)}
       125:{1,2,4,5,7}:{(107,1),(108,1),(109,1),(110,1),(135,1),(138,1),(151,1)}
       126:{2,3,6,7}:{(110,1),(138,1)}
       127:{3,4,6,7}:{(111,1),(114,1),(115,1),(140,1)}
       128:{1,2,4,5,6}:{(112,1),(113,1),(117,1),(142,1),(143,1),(145,1)}
       129:{2,3,4,5,7}:{(112,1),(114,1),(118,1),(139,1),(143,1),(147,1)}
       130:{1,4,5,7}:{(113,1),(114,1),(119,1),(140,1)}
       131:{2,3,5,6,7}:{(115,1),(118,1),(122,1),(139,1),(144,1)}
       132:{1,3,5,6,7}:{(115,1),(119,1),(140,1),(144,1),(152,1)}
       133:{1,2,4,5}:{(116,1),(123,1),(141,1),(145,1)}
       134:{1,2,3,5,6}:{(116,1),(117,1),(120,1),(124,1),(142,1),(145,1),(146,1)}
       135:{1,2,5,7}:{(117,1),(118,1),(119,1),(121,1)}
       136:{1,2,3,6,7}:{(120,1),(121,1),(126,1),(146,1),(152,1)}
       137:{2,3,4,6}:{(123,1),(124,1),(145,1),(147,1)}
       138:{2,3,5,7}:{(124,1),(125,1),(126,1),(147,1)}
       139:{2,3,4,6,7}:{(127,1),(129,1),(131,1),(148,1)}
       140:{1,4,6,7}:{(127,1),(130,1),(132,1)}
       141:{1,3,4,5}:{(133,1),(149,1)}
       142:{1,3,5,6}:{(128,1),(149,1),(150,1)}
       143:{1,2,4,5,7}:{(128,1),(129,1),(130,1),(135,1),(148,1),(150,1),(151,1)}
       144:{1,2,5,6,7}:{(131,1),(132,1),(135,1),(148,1)}
       145:{1,2,4,6}:{(133,1),(134,1),(137,1),(149,1),(151,1)}
       146:{1,2,3,5,7}:{(134,1),(135,1),(136,1),(138,1),(150,1),(151,1)}
       147:{2,3,4,7}:{(137,1),(138,1),(151,1)}
       148:{1,2,4,6,7}:{(139,1),(140,1),(143,1),(144,1),(152,1)}
       149:{1,3,4,6}:{(141,1),(142,1),(145,1),(153,1)}
       150:{1,3,5,7}:{(142,1),(143,1),(152,1),(153,1)}
       151:{1,2,4,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{1,3,6,7}:{(148,1),(150,1)}
       153:{1,3,4,7}:{(149,1),(150,1),(151,1)}

2036 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(68,1),(75,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(30,1),(55,1),(62,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(60,1),(63,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(50,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(47,1),(51,1)}
         5:{1,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(31,1),(56,1),(60,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(37,1),(80,1)}
         8:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(37,1),(55,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(38,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{1,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(44,1),(47,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(24,1),(90,1)}
        15:{2,4,5,6,7}:{(7,1),(8,1),(67,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(47,1)}
        17:{1,3,6,7}:{(9,1),(10,1)}
        18:{1,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{1,3,4,5}:{(11,1),(23,1)}
        20:{2,3,4,6}:{(13,1),(30,1),(31,1),(56,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(34,1),(56,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(30,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(31,1)}
        24:{1,3,5,6,7}:{(14,1),(32,1),(36,1),(37,1),(83,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(36,1),(37,1),(38,1),(59,1),(61,1)}
        26:{1,3,5,6,7}:{(16,1),(17,1),(37,1),(38,1),(39,1)}
        27:{1,3,4,6,7}:{(17,1),(18,1),(34,1),(38,1),(39,1),(40,1),(58,1)}
        28:{1,3,4,5,7}:{(18,1),(19,1),(35,1),(39,1),(40,1),(80,1)}
        29:{1,3,4,5,6}:{(41,1),(42,1),(75,1),(87,1),(94,1)}
        30:{2,3,4,7}:{(20,1),(22,1),(44,1)}
        31:{2,3,5}:{(20,1),(23,1)}
        32:{1,3,4,6,7}:{(24,1),(41,1),(45,1),(50,1)}
        33:{1,2,3,5,6,7}:{(21,1),(26,1),(46,1),(47,1),(49,1),(68,1),(69,1),(72,1),(93,1),(94,1)}
        34:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(43,1),(47,1),(48,1)}
        35:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(44,1),(47,1),(48,1),(67,1)}
        36:{1,2,5,6,7}:{(24,1),(45,1),(49,1),(93,1)}
        37:{3,5,6,7}:{(25,1),(50,1),(72,1)}
        38:{1,4,6,7}:{(26,1),(50,1),(51,1)}
        39:{1,3,5,7}:{(27,1),(47,1),(51,1),(52,1),(72,1)}
        40:{1,3,4,6}:{(28,1),(48,1),(52,1),(92,1)}
        41:{1,3,4,5,7}:{(29,1),(32,1),(53,1),(62,1),(83,1),(96,1)}
        42:{1,2,4,5,6}:{(29,1),(53,1),(54,1),(77,1),(86,1),(101,1)}
        43:{2,3,4,6,7}:{(30,1),(34,1),(55,1),(56,1),(58,1),(81,1)}
        44:{2,3,5,7}:{(30,1),(31,1),(35,1),(56,1)}
        45:{1,2,4,6,7}:{(32,1),(36,1),(53,1),(57,1),(61,1)}
        46:{1,2,4,6,7}:{(33,1),(38,1),(58,1),(59,1),(61,1),(81,1),(99,1)}
        47:{1,2,5,7}:{(34,1),(39,1),(55,1),(60,1)}
        48:{1,2,4,6}:{(35,1),(40,1),(56,1),(60,1),(81,1)}
        49:{2,3,5,6,7}:{(36,1),(37,1),(57,1),(61,1),(84,1)}
        50:{3,4,6,7}:{(37,1),(38,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(62,1),(63,1)}
        52:{1,3,5,6}:{(39,1),(40,1),(60,1),(63,1),(85,1)}
        53:{1,2,4,5,7}:{(41,1),(42,1),(45,1),(65,1),(74,1),(88,1),(93,1)}
        54:{2,3,5,6}:{(42,1),(65,1),(66,1)}
        55:{2,3,5,7}:{(43,1),(47,1),(67,1),(68,1),(72,1)}
        56:{2,3,6}:{(44,1),(48,1)}
        57:{2,3,6,7}:{(45,1),(65,1)}
        58:{3,4,6,7}:{(46,1),(72,1),(92,1)}
        59:{1,2,4,5,7}:{(46,1),(47,1),(51,1),(67,1),(72,1),(73,1),(74,1),(90,1),(93,1)}
        60:{1,2,5,6}:{(47,1),(48,1),(52,1),(68,1)}
        61:{2,4,6,7}:{(49,1),(50,1),(74,1)}
        62:{3,4,5,7}:{(50,1),(51,1),(72,1),(74,1),(75,1)}
        63:{1,4,5,6}:{(51,1),(52,1),(75,1)}
        64:{1,2,3,5,6}:{(54,1),(76,1),(77,1),(97,1),(101,1),(104,1)}
        65:{2,3,5,7}:{(53,1),(54,1),(57,1),(78,1)}
        66:{2,3,4,6}:{(54,1),(77,1),(78,1),(79,1)}
        67:{2,4,5,7}:{(55,1),(80,1),(81,1)}
        68:{2,3,5,6}:{(55,1),(56,1),(60,1),(81,1),(85,1)}
        69:{1,2,3,6,7}:{(57,1),(76,1),(82,1),(104,1)}
        70:{1,3,4,6,7}:{(58,1),(82,1),(83,1),(96,1),(99,1),(104,1)}
        71:{2,3,4,6,7}:{(57,1),(58,1),(61,1),(78,1),(82,1),(84,1),(100,1)}
        72:{3,5,7}:{(58,1),(59,1),(85,1)}
        73:{1,2,4,5,6}:{(59,1),(60,1),(63,1),(81,1),(85,1),(86,1),(99,1),(101,1)}
        74:{2,4,5,7}:{(61,1),(62,1),(84,1),(86,1)}
        75:{3,4,5,6}:{(62,1),(63,1),(85,1),(86,1)}
        76:{1,2,3,5,7}:{(64,1),(65,1),(69,1),(88,1),(93,1),(102,1)}
        77:{1,2,4,6}:{(64,1),(66,1),(87,1),(88,1),(89,1)}
        78:{2,3,4,7}:{(65,1),(66,1),(88,1)}
        79:{2,3,4,5}:{(66,1),(89,1)}
        80:{3,4,5,7}:{(67,1),(72,1),(90,1),(92,1)}
        81:{2,4,6}:{(67,1),(68,1),(92,1)}
        82:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(88,1),(93,1),(103,1)}
        83:{1,3,5,7}:{(70,1),(72,1),(90,1),(93,1),(94,1)}
        84:{2,3,5,7}:{(71,1),(72,1),(74,1),(93,1),(95,1)}
        85:{3,5,6}:{(72,1),(73,1),(92,1)}
        86:{2,4,5,6}:{(74,1),(75,1),(95,1)}
        87:{1,3,4,6}:{(77,1),(96,1),(97,1),(104,1)}
        88:{1,2,4,7}:{(76,1),(77,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(77,1),(79,1),(97,1)}
        90:{1,4,5,7}:{(80,1),(83,1),(99,1)}
        91:{2,3,4,5,7}:{(78,1),(79,1),(80,1),(84,1),(98,1),(100,1)}
        92:{3,4,6}:{(80,1),(81,1),(85,1),(99,1)}
        93:{1,2,5,7}:{(82,1),(83,1),(84,1),(101,1)}
        94:{1,3,5,6}:{(83,1),(85,1),(99,1),(101,1),(104,1)}
        95:{2,3,5,6}:{(84,1),(85,1),(86,1),(100,1),(101,1)}
        96:{1,3,4,7}:{(87,1),(88,1),(102,1)}
        97:{1,3,5}:{(87,1),(89,1)}
        98:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{1,4,6}:{(90,1),(92,1),(94,1)}
       100:{2,3,4,6}:{(91,1),(92,1),(95,1),(103,1)}
       101:{1,2,5,6}:{(93,1),(94,1),(95,1),(103,1)}
       102:{1,3,5,7}:{(96,1),(97,1),(98,1),(104,1)}
       103:{1,2,4,6}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{1,3,6}:{(102,1),(103,1)}

2037 :   0:{2,3,4,5,6}:{(2,1),(3,1),(36,1),(59,1),(88,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(20,1),(95,1)}
         2:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(44,1),(47,1),(75,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(24,1),(74,1),(76,1)}
         4:{1,4,5,6,7}:{(1,1),(9,1),(100,1)}
         5:{2,4,5,6,7}:{(1,1),(10,1),(87,1)}
         6:{2,3,4,6,7}:{(2,1),(10,1),(12,1),(31,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(12,1),(13,1),(34,1),(58,1),(61,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(15,1)}
         9:{1,3,5,6,7}:{(4,1),(17,1),(18,1),(20,1),(93,1)}
        10:{2,3,5,6,7}:{(5,1),(6,1),(19,1),(20,1),(75,1)}
        11:{1,2,4,5,6,7}:{(4,1),(5,1),(18,1),(19,1),(20,1),(42,1),(43,1),(72,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(19,1),(21,1),(43,1)}
        13:{1,3,5,7}:{(7,1),(8,1),(21,1),(23,1)}
        14:{1,2,3,5,6}:{(8,1),(22,1),(24,1),(50,1),(76,1),(77,1)}
        15:{1,3,4,6}:{(8,1),(23,1),(24,1),(25,1)}
        16:{1,3,4,5,6}:{(26,1),(27,1),(59,1),(80,1),(101,1)}
        17:{1,3,4,6,7}:{(9,1),(26,1),(28,1),(31,1)}
        18:{1,2,5,6,7}:{(9,1),(28,1),(29,1),(83,1)}
        19:{1,2,5,6,7}:{(10,1),(12,1),(30,1),(61,1)}
        20:{3,5,6,7}:{(11,1),(31,1),(85,1)}
        21:{1,3,6,7}:{(12,1),(13,1)}
        22:{1,2,3,5,7}:{(13,1),(14,1),(32,1),(34,1),(61,1),(63,1)}
        23:{1,3,4,7}:{(13,1),(15,1),(34,1)}
        24:{1,2,4,6}:{(14,1),(15,1),(34,1),(36,1),(37,1)}
        25:{1,3,4,5}:{(15,1),(37,1)}
        26:{1,3,4,5,7}:{(16,1),(17,1),(38,1),(44,1),(89,1),(93,1)}
        27:{1,2,4,5,6}:{(16,1),(38,1),(39,1),(67,1),(73,1),(94,1)}
        28:{1,2,4,6,7}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        29:{2,3,5,6,7}:{(18,1),(20,1),(40,1),(42,1),(70,1)}
        30:{1,3,5,6,7}:{(19,1),(20,1),(21,1),(43,1),(46,1)}
        31:{3,4,6,7}:{(20,1),(42,1),(43,1),(44,1)}
        32:{1,2,3,6,7}:{(21,1),(22,1),(45,1),(77,1)}
        33:{1,3,4,6,7}:{(21,1),(23,1),(43,1),(45,1),(46,1),(49,1),(71,1)}
        34:{1,2,4,7}:{(22,1),(23,1),(24,1),(47,1)}
        35:{1,3,4,5,7}:{(23,1),(25,1),(46,1),(48,1),(49,1),(95,1)}
        36:{2,3,4,6}:{(24,1),(47,1),(50,1),(77,1)}
        37:{1,2,4,5}:{(24,1),(25,1),(50,1)}
        38:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(51,1),(57,1),(78,1),(83,1)}
        39:{2,3,5,6}:{(27,1),(51,1),(53,1)}
        40:{2,3,6,7}:{(28,1),(51,1)}
        41:{1,2,3,5,6,7}:{(29,1),(30,1),(32,1),(54,1),(56,1),(61,1),(83,1),(85,1),(88,1),(101,1)}
        42:{2,4,6,7}:{(29,1),(31,1),(57,1)}
        43:{1,4,6,7}:{(30,1),(31,1),(58,1)}
        44:{3,4,5,7}:{(31,1),(57,1),(58,1),(59,1),(85,1)}
        45:{1,2,4,6,7}:{(32,1),(33,1),(34,1),(60,1),(61,1),(64,1)}
        46:{1,3,5,7}:{(33,1),(58,1),(61,1),(62,1),(85,1)}
        47:{2,3,4,7}:{(34,1),(36,1),(63,1)}
        48:{1,2,4,5,7}:{(34,1),(35,1),(37,1),(61,1),(63,1),(64,1),(87,1)}
        49:{1,3,4,6}:{(35,1),(62,1),(64,1),(102,1)}
        50:{2,3,5}:{(36,1),(37,1)}
        51:{2,3,5,7}:{(38,1),(39,1),(40,1),(66,1)}
        52:{1,2,3,5,6}:{(39,1),(65,1),(67,1),(92,1),(94,1),(103,1)}
        53:{2,3,4,6}:{(39,1),(66,1),(67,1),(68,1)}
        54:{1,2,3,6,7}:{(40,1),(65,1),(69,1),(103,1)}
        55:{2,3,4,6,7}:{(40,1),(42,1),(66,1),(69,1),(70,1),(71,1),(91,1)}
        56:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(71,1),(72,1),(97,1),(104,1)}
        57:{2,4,5,7}:{(42,1),(44,1),(70,1),(73,1)}
        58:{1,4,5,7}:{(43,1),(44,1),(46,1),(74,1)}
        59:{3,4,5,6}:{(44,1),(73,1),(74,1),(96,1)}
        60:{2,3,4,6,7}:{(45,1),(47,1),(71,1),(75,1),(77,1),(97,1)}
        61:{1,2,5,7}:{(45,1),(46,1),(75,1),(76,1)}
        62:{1,3,5,6}:{(46,1),(49,1),(74,1),(76,1),(96,1)}
        63:{2,3,5,7}:{(47,1),(48,1),(50,1),(77,1)}
        64:{1,2,4,6}:{(48,1),(49,1),(76,1),(77,1),(97,1)}
        65:{1,2,3,5,7}:{(51,1),(52,1),(54,1),(78,1),(83,1),(98,1)}
        66:{2,3,4,7}:{(51,1),(53,1),(78,1)}
        67:{1,2,4,6}:{(52,1),(53,1),(78,1),(80,1),(81,1)}
        68:{2,3,4,5}:{(53,1),(81,1)}
        69:{1,2,4,6,7}:{(54,1),(55,1),(78,1),(82,1),(83,1),(99,1)}
        70:{2,3,5,7}:{(55,1),(57,1),(83,1),(84,1),(85,1)}
        71:{3,4,6,7}:{(56,1),(85,1),(102,1)}
        72:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(61,1),(83,1),(85,1),(86,1),(87,1),(100,1)}
        73:{2,4,5,6}:{(57,1),(59,1),(84,1)}
        74:{1,4,5,6}:{(58,1),(59,1),(62,1)}
        75:{2,3,5,7}:{(60,1),(61,1),(85,1),(87,1),(88,1)}
        76:{1,2,5,6}:{(61,1),(62,1),(64,1),(88,1)}
        77:{2,3,6}:{(63,1),(64,1)}
        78:{1,2,4,7}:{(65,1),(66,1),(67,1),(89,1)}
        79:{2,3,4,5,7}:{(66,1),(68,1),(70,1),(90,1),(91,1),(95,1)}
        80:{1,3,4,6}:{(67,1),(89,1),(92,1),(103,1)}
        81:{1,2,4,5}:{(67,1),(68,1),(92,1)}
        82:{1,3,4,6,7}:{(69,1),(71,1),(89,1),(93,1),(103,1),(104,1)}
        83:{1,2,5,7}:{(69,1),(70,1),(93,1),(94,1)}
        84:{2,3,5,6}:{(70,1),(73,1),(91,1),(94,1),(96,1)}
        85:{3,5,7}:{(71,1),(72,1),(96,1)}
        86:{1,2,4,5,6}:{(72,1),(73,1),(74,1),(76,1),(94,1),(96,1),(97,1),(104,1)}
        87:{2,4,5,7}:{(75,1),(95,1),(97,1)}
        88:{2,3,5,6}:{(75,1),(76,1),(77,1),(96,1),(97,1)}
        89:{1,3,4,7}:{(78,1),(80,1),(98,1)}
        90:{1,2,4,5,7}:{(78,1),(79,1),(81,1),(83,1),(98,1),(99,1),(100,1)}
        91:{2,3,4,6}:{(79,1),(84,1),(99,1),(102,1)}
        92:{1,3,5}:{(80,1),(81,1)}
        93:{1,3,5,7}:{(82,1),(83,1),(85,1),(100,1),(101,1)}
        94:{1,2,5,6}:{(83,1),(84,1),(99,1),(101,1)}
        95:{3,4,5,7}:{(85,1),(87,1),(100,1),(102,1)}
        96:{3,5,6}:{(85,1),(86,1),(102,1)}
        97:{2,4,6}:{(87,1),(88,1),(102,1)}
        98:{1,3,5,7}:{(89,1),(90,1),(92,1),(103,1)}
        99:{1,2,4,6}:{(90,1),(91,1),(94,1),(103,1),(104,1)}
       100:{1,4,5,7}:{(93,1),(95,1),(104,1)}
       101:{1,3,5,6}:{(93,1),(94,1),(96,1),(103,1),(104,1)}
       102:{3,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       103:{1,3,6}:{(98,1),(99,1)}
       104:{1,4,6}:{(100,1),(101,1),(102,1)}

2038 :   0:{1,3,4,5,7}:{(2,1),(3,1),(20,1),(57,1),(117,1),(131,1),(132,1),(171,1),(179,1),(181,1)}
         1:{1,4,5,6,7}:{(4,1),(25,1),(199,1)}
         2:{1,3,4,6}:{(0,1),(7,1),(9,1),(100,1),(190,1),(195,1),(196,1)}
         3:{1,2,4,5,7}:{(0,1),(9,1),(10,1),(37,1),(42,1),(96,1),(101,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(13,1),(206,1)}
         5:{2,3,4,5,7}:{(14,1),(15,1),(24,1),(53,1),(72,1),(133,1),(169,1),(170,1),(179,1),(200,1)}
         6:{3,4,5,6}:{(17,1),(18,1),(19,1),(68,1),(170,1),(201,1)}
         7:{1,3,5,6}:{(2,1),(18,1),(20,1),(21,1),(68,1),(117,1),(183,1)}
         8:{1,3,4,6,7}:{(2,1),(20,1),(22,1),(25,1),(74,1),(131,1),(135,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(21,1),(23,1),(70,1)}
        10:{2,3,5,7}:{(3,1),(23,1),(24,1),(72,1),(179,1)}
        11:{3,4,6,7}:{(4,1),(17,1),(25,1),(26,1),(74,1),(201,1)}
        12:{1,3,5,6,7}:{(4,1),(20,1),(25,1),(27,1),(74,1),(172,1)}
        13:{2,5,6,7}:{(4,1),(26,1),(209,1)}
        14:{2,3,4,6}:{(5,1),(30,1),(32,1),(144,1),(161,1),(195,1),(207,1)}
        15:{1,2,4,5,7}:{(5,1),(32,1),(33,1),(37,1),(83,1),(96,1),(145,1),(146,1)}
        16:{1,2,3,5,7}:{(10,1),(33,1),(36,1),(37,1),(96,1)}
        17:{3,4,5,7}:{(6,1),(11,1),(39,1),(40,1),(99,1)}
        18:{1,4,5,6}:{(6,1),(7,1),(39,1),(146,1),(190,1)}
        19:{2,4,5,6}:{(6,1),(38,1),(40,1),(188,1),(207,1)}
        20:{1,3,5,7}:{(7,1),(8,1),(39,1),(42,1),(99,1),(162,1)}
        21:{1,2,5,6}:{(7,1),(9,1),(42,1),(43,1),(96,1)}
        22:{1,2,4,6,7}:{(8,1),(9,1),(42,1),(44,1),(101,1)}
        23:{2,3,6}:{(9,1),(10,1),(195,1)}
        24:{2,3,4,7}:{(10,1),(37,1),(45,1),(101,1),(154,1)}
        25:{1,4,6,7}:{(11,1),(12,1),(39,1),(190,1)}
        26:{2,4,6,7}:{(11,1),(13,1),(40,1),(46,1),(207,1)}
        27:{1,2,5,6,7}:{(12,1),(13,1),(42,1),(47,1),(48,1),(157,1),(162,1)}
        28:{2,4,5,6,7}:{(49,1),(108,1),(137,1)}
        29:{3,4,5,6}:{(50,1),(51,1),(52,1),(113,1),(132,1),(182,1)}
        30:{2,3,5,6}:{(14,1),(52,1),(53,1),(54,1),(72,1),(113,1),(209,1)}
        31:{2,3,4,6,7}:{(14,1),(53,1),(55,1),(108,1),(165,1),(169,1),(197,1)}
        32:{1,2,4,6}:{(14,1),(15,1),(54,1),(56,1),(115,1)}
        33:{1,3,5,7}:{(15,1),(56,1),(57,1),(117,1),(179,1)}
        34:{2,3,4,5}:{(58,1),(59,1),(124,1),(132,1),(178,1)}
        35:{1,3,4,5}:{(60,1),(61,1),(121,1),(170,1),(176,1)}
        36:{1,2,3,6}:{(16,1),(23,1),(56,1),(64,1)}
        37:{1,2,4,7}:{(16,1),(24,1),(57,1),(64,1)}
        38:{2,3,5,6}:{(19,1),(58,1),(65,1),(66,1),(68,1),(178,1),(204,1)}
        39:{1,4,5,7}:{(17,1),(18,1),(20,1),(25,1)}
        40:{2,4,5,7}:{(17,1),(19,1),(26,1),(65,1)}
        41:{1,2,4,5,6}:{(18,1),(19,1),(21,1),(66,1),(67,1),(68,1),(70,1),(127,1),(130,1),(137,1),(180,1),(183,1)}
        42:{1,2,5,7}:{(20,1),(21,1),(22,1),(69,1)}
        43:{2,3,5,6}:{(21,1),(23,1),(68,1),(69,1),(70,1),(72,1)}
        44:{2,3,6,7}:{(22,1),(23,1),(69,1),(74,1)}
        45:{2,3,4,6}:{(23,1),(24,1),(64,1),(70,1),(72,1),(125,1)}
        46:{2,3,6,7}:{(26,1),(65,1),(73,1),(74,1),(204,1)}
        47:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(67,1),(73,1),(74,1),(75,1),(135,1),(180,1)}
        48:{2,3,5,6,7}:{(27,1),(69,1),(74,1),(75,1),(134,1),(136,1)}
        49:{3,5,6,7}:{(28,1),(76,1),(77,1),(163,1)}
        50:{3,4,5,7}:{(29,1),(76,1),(80,1),(81,1),(143,1)}
        51:{1,4,5,6}:{(29,1),(79,1),(80,1),(159,1),(196,1)}
        52:{2,4,5,6}:{(29,1),(30,1),(81,1),(102,1),(161,1)}
        53:{2,3,5,7}:{(30,1),(31,1),(81,1),(83,1),(143,1),(205,1)}
        54:{1,2,5,6}:{(30,1),(32,1),(83,1),(84,1),(96,1)}
        55:{1,2,4,6,7}:{(31,1),(32,1),(83,1),(85,1),(145,1)}
        56:{1,3,6}:{(32,1),(33,1),(195,1)}
        57:{1,3,4,7}:{(33,1),(37,1),(86,1),(145,1),(154,1)}
        58:{2,3,4,6}:{(34,1),(38,1),(87,1),(88,1),(100,1)}
        59:{1,2,4,5}:{(34,1),(88,1),(89,1),(149,1),(159,1),(192,1)}
        60:{1,3,4,6}:{(35,1),(79,1),(90,1),(91,1),(144,1)}
        61:{1,2,4,5}:{(35,1),(91,1),(92,1),(149,1),(188,1),(192,1)}
        62:{1,2,3,5,6}:{(36,1),(43,1),(84,1),(93,1),(94,1),(96,1),(98,1),(142,1),(148,1),(155,1),(157,1),(192,1),(195,1),(208,1)}
        63:{1,2,3,6,7}:{(36,1),(44,1),(85,1),(93,1),(95,1),(104,1),(184,1),(195,1),(208,1)}
        64:{1,2,4,6}:{(36,1),(37,1),(45,1),(86,1),(96,1)}
        65:{2,3,5,7}:{(38,1),(40,1),(46,1),(87,1),(97,1),(99,1)}
        66:{1,2,5,6}:{(38,1),(88,1),(97,1),(98,1),(192,1),(208,1)}
        67:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(42,1),(47,1),(97,1),(99,1),(101,1),(106,1),(158,1),(162,1)}
        68:{3,5,6}:{(41,1),(99,1),(100,1),(155,1),(195,1)}
        69:{2,3,5,7}:{(42,1),(43,1),(44,1),(99,1),(101,1)}
        70:{2,4,6}:{(43,1),(100,1),(101,1),(102,1)}
        71:{2,3,4,6,7}:{(44,1),(45,1),(95,1),(101,1),(103,1),(105,1),(154,1),(161,1),(195,1)}
        72:{2,3,5}:{(45,1),(96,1),(102,1),(155,1)}
        73:{1,2,6,7}:{(46,1),(97,1),(104,1),(208,1)}
        74:{3,6,7}:{(47,1),(99,1),(195,1)}
        75:{2,4,6,7}:{(48,1),(101,1),(105,1),(106,1),(161,1)}
        76:{3,4,6,7}:{(49,1),(50,1),(107,1),(108,1),(165,1),(182,1)}
        77:{1,5,6,7}:{(49,1),(107,1),(183,1)}
        78:{2,3,5,6,7}:{(49,1),(53,1),(108,1),(109,1),(134,1),(165,1)}
        79:{1,3,5,6}:{(51,1),(60,1),(110,1),(111,1),(113,1),(176,1),(203,1)}
        80:{1,4,5,7}:{(50,1),(51,1),(107,1),(110,1)}
        81:{2,4,5,7}:{(50,1),(52,1),(53,1),(108,1)}
        82:{1,2,4,5,6}:{(51,1),(52,1),(54,1),(111,1),(112,1),(113,1),(115,1),(127,1),(168,1),(180,1),(199,1),(209,1)}
        83:{1,2,5,7}:{(53,1),(54,1),(55,1),(114,1)}
        84:{1,3,5,6}:{(54,1),(56,1),(113,1),(114,1),(115,1),(117,1)}
        85:{1,3,6,7}:{(55,1),(56,1),(114,1),(165,1)}
        86:{1,3,4,6}:{(56,1),(57,1),(64,1),(115,1),(117,1),(125,1)}
        87:{2,3,4,7}:{(58,1),(65,1),(119,1),(131,1)}
        88:{1,2,4,6}:{(58,1),(59,1),(66,1),(119,1),(120,1),(130,1)}
        89:{1,3,5}:{(59,1),(120,1),(121,1)}
        90:{1,3,4,7}:{(60,1),(110,1),(122,1),(169,1)}
        91:{1,2,4,6}:{(60,1),(61,1),(111,1),(122,1),(123,1),(168,1)}
        92:{2,3,5}:{(61,1),(123,1),(124,1)}
        93:{1,2,3,5,7}:{(62,1),(63,1),(69,1),(114,1),(126,1),(128,1),(129,1),(167,1),(173,1),(179,1),(202,1)}
        94:{1,2,4,6}:{(62,1),(70,1),(115,1),(125,1),(126,1),(127,1),(130,1),(168,1)}
        95:{1,2,4,6,7}:{(63,1),(64,1),(71,1),(116,1),(126,1),(128,1),(135,1),(180,1),(197,1)}
        96:{1,2,5}:{(64,1),(72,1),(117,1)}
        97:{1,2,5,7}:{(65,1),(66,1),(73,1),(119,1),(129,1)}
        98:{1,3,5,6}:{(66,1),(68,1),(120,1),(129,1),(130,1),(176,1),(183,1),(203,1)}
        99:{3,5,7}:{(67,1),(68,1),(74,1),(131,1)}
       100:{3,4,6}:{(68,1),(70,1),(130,1),(131,1),(132,1)}
       101:{2,4,7}:{(69,1),(70,1),(131,1)}
       102:{2,4,5}:{(70,1),(72,1),(132,1)}
       103:{2,3,5,7}:{(71,1),(72,1),(128,1),(133,1),(134,1),(136,1),(179,1)}
       104:{1,3,6,7}:{(73,1),(74,1),(129,1),(135,1),(203,1)}
       105:{3,4,6,7}:{(74,1),(75,1),(131,1),(135,1),(136,1),(182,1)}
       106:{2,4,5,7}:{(75,1),(136,1),(137,1)}
       107:{1,4,6,7}:{(76,1),(77,1),(80,1),(138,1),(196,1)}
       108:{2,4,6,7}:{(76,1),(78,1),(81,1),(161,1)}
       109:{1,2,5,6,7}:{(77,1),(78,1),(83,1),(139,1),(140,1),(157,1),(205,1)}
       110:{1,3,5,7}:{(79,1),(80,1),(90,1),(138,1),(141,1),(143,1)}
       111:{1,2,5,6}:{(79,1),(91,1),(141,1),(142,1),(192,1),(208,1)}
       112:{1,2,4,5,7}:{(80,1),(81,1),(82,1),(83,1),(139,1),(141,1),(143,1),(145,1),(186,1),(187,1),(205,1)}
       113:{3,5,6}:{(82,1),(143,1),(144,1),(155,1),(195,1)}
       114:{1,3,5,7}:{(83,1),(84,1),(85,1),(143,1),(145,1)}
       115:{1,4,6}:{(84,1),(144,1),(145,1),(146,1)}
       116:{1,3,4,6,7}:{(85,1),(86,1),(95,1),(145,1),(147,1),(154,1),(185,1),(190,1),(195,1)}
       117:{1,3,5}:{(86,1),(96,1),(146,1),(155,1)}
       118:{1,2,3,5}:{(89,1),(92,1),(148,1),(149,1),(192,1)}
       119:{1,2,4,7}:{(87,1),(88,1),(97,1),(150,1),(158,1)}
       120:{1,3,6}:{(88,1),(89,1),(150,1)}
       121:{1,3,4}:{(89,1),(149,1)}
       122:{1,2,4,7}:{(90,1),(91,1),(141,1),(152,1),(187,1)}
       123:{2,3,6}:{(91,1),(92,1),(152,1)}
       124:{2,3,4}:{(92,1),(149,1)}
       125:{3,4,6}:{(94,1),(154,1),(155,1),(195,1)}
       126:{1,2,4,7}:{(93,1),(94,1),(101,1),(145,1),(154,1),(158,1),(187,1)}
       127:{1,2,4,5}:{(94,1),(96,1),(102,1),(146,1),(155,1),(159,1),(188,1),(192,1)}
       128:{1,2,5,7}:{(95,1),(96,1),(103,1),(147,1),(157,1),(162,1),(205,1)}
       129:{1,3,5,7}:{(97,1),(98,1),(99,1),(104,1),(150,1),(158,1),(162,1)}
       130:{1,4,6}:{(98,1),(100,1),(158,1),(159,1)}
       131:{3,4,7}:{(99,1),(100,1),(101,1),(158,1)}
       132:{3,4,5}:{(100,1),(102,1),(155,1),(159,1)}
       133:{2,4,5,7}:{(101,1),(102,1),(103,1),(160,1),(161,1)}
       134:{2,3,5,6}:{(103,1),(157,1),(161,1),(163,1),(195,1)}
       135:{1,4,6,7}:{(104,1),(105,1),(158,1),(162,1),(196,1)}
       136:{3,5,7}:{(105,1),(106,1),(162,1),(163,1)}
       137:{2,4,5,6}:{(106,1),(161,1),(163,1)}
       138:{1,3,6,7}:{(107,1),(110,1),(164,1),(165,1),(203,1)}
       139:{1,2,4,6,7}:{(107,1),(108,1),(109,1),(112,1),(164,1),(165,1),(166,1),(180,1),(197,1)}
       140:{1,3,5,6,7}:{(109,1),(114,1),(165,1),(166,1),(172,1),(198,1)}
       141:{1,2,5,7}:{(110,1),(111,1),(122,1),(164,1),(167,1)}
       142:{2,3,5,6}:{(111,1),(113,1),(123,1),(167,1),(168,1),(178,1),(204,1),(209,1)}
       143:{3,5,7}:{(112,1),(113,1),(165,1),(169,1)}
       144:{3,4,6}:{(113,1),(115,1),(168,1),(169,1),(170,1)}
       145:{1,4,7}:{(114,1),(115,1),(169,1)}
       146:{1,4,5}:{(115,1),(117,1),(170,1)}
       147:{1,3,5,7}:{(116,1),(117,1),(128,1),(171,1),(172,1),(179,1),(198,1)}
       148:{1,2,3,6}:{(118,1),(120,1),(123,1),(173,1),(174,1)}
       149:{1,2,4}:{(118,1),(121,1),(124,1)}
       150:{1,3,7}:{(119,1),(120,1)}
       151:{1,3,4,6}:{(120,1),(121,1),(125,1),(130,1),(174,1),(175,1),(176,1),(203,1)}
       152:{2,3,7}:{(122,1),(123,1)}
       153:{2,3,4,6}:{(123,1),(124,1),(125,1),(168,1),(174,1),(177,1),(178,1),(204,1)}
       154:{3,4,7}:{(125,1),(126,1),(179,1)}
       155:{3,5}:{(125,1),(127,1)}
       156:{1,2,4,5,7}:{(126,1),(127,1),(128,1),(133,1),(171,1),(179,1),(180,1),(181,1),(200,1),(202,1)}
       157:{1,2,5,6}:{(128,1),(134,1),(172,1),(180,1),(183,1),(209,1)}
       158:{1,4,7}:{(129,1),(130,1),(131,1)}
       159:{1,4,5}:{(130,1),(132,1),(176,1)}
       160:{3,4,5,7}:{(131,1),(132,1),(133,1),(136,1),(179,1),(181,1),(182,1)}
       161:{2,4,6}:{(133,1),(134,1),(182,1)}
       162:{1,5,7}:{(135,1),(136,1),(183,1)}
       163:{3,5,6}:{(136,1),(137,1),(182,1),(183,1)}
       164:{1,2,6,7}:{(138,1),(141,1),(184,1),(208,1)}
       165:{3,6,7}:{(139,1),(143,1),(195,1)}
       166:{1,4,6,7}:{(140,1),(145,1),(185,1),(186,1),(190,1)}
       167:{2,3,5,7}:{(141,1),(142,1),(143,1),(152,1),(184,1),(187,1),(205,1)}
       168:{2,4,6}:{(142,1),(144,1),(187,1),(188,1)}
       169:{3,4,7}:{(143,1),(144,1),(145,1),(187,1)}
       170:{3,4,5}:{(144,1),(146,1),(155,1),(188,1)}
       171:{1,4,5,7}:{(145,1),(146,1),(147,1),(189,1),(190,1)}
       172:{1,3,5,6}:{(147,1),(157,1),(190,1),(195,1),(206,1)}
       173:{1,2,3,7}:{(148,1),(150,1),(152,1),(191,1)}
       174:{1,2,4,6}:{(148,1),(149,1),(151,1),(153,1),(191,1),(192,1),(208,1)}
       175:{1,3,4,7}:{(150,1),(151,1),(154,1),(158,1),(191,1),(193,1)}
       176:{1,3,5}:{(151,1),(155,1),(159,1),(192,1)}
       177:{2,3,4,7}:{(152,1),(153,1),(154,1),(187,1),(191,1),(194,1)}
       178:{2,3,5}:{(153,1),(155,1),(188,1),(192,1)}
       179:{3,5,7}:{(154,1),(155,1),(156,1),(195,1)}
       180:{1,2,4,6}:{(156,1),(157,1),(161,1),(190,1),(195,1),(196,1),(207,1),(208,1)}
       181:{1,4,5,7}:{(158,1),(159,1),(160,1),(162,1),(193,1),(196,1)}
       182:{3,4,6}:{(160,1),(161,1),(163,1),(195,1),(196,1)}
       183:{1,5,6}:{(162,1),(163,1),(196,1)}
       184:{2,3,6,7}:{(164,1),(165,1),(167,1),(197,1),(204,1)}
       185:{3,4,6,7}:{(165,1),(166,1),(169,1),(197,1),(198,1),(201,1)}
       186:{1,4,5,7}:{(166,1),(198,1),(199,1)}
       187:{2,4,7}:{(167,1),(168,1),(169,1)}
       188:{2,4,5}:{(168,1),(170,1),(178,1)}
       189:{3,4,5,7}:{(169,1),(170,1),(171,1),(179,1),(198,1),(200,1),(201,1)}
       190:{1,4,6}:{(171,1),(172,1),(201,1)}
       191:{1,2,4,7}:{(173,1),(174,1),(175,1),(177,1),(202,1)}
       192:{1,2,5}:{(174,1),(176,1),(178,1)}
       193:{1,3,5,7}:{(175,1),(176,1),(179,1),(181,1),(202,1),(203,1)}
       194:{2,3,5,7}:{(177,1),(178,1),(179,1),(200,1),(202,1),(204,1)}
       195:{3,6}:{(179,1),(180,1)}
       196:{1,4,6}:{(181,1),(182,1),(183,1),(203,1)}
       197:{2,4,6,7}:{(184,1),(185,1),(187,1),(205,1),(207,1)}
       198:{3,5,7}:{(185,1),(186,1),(205,1),(206,1)}
       199:{1,4,5,6}:{(186,1),(190,1),(206,1)}
       200:{2,4,5,7}:{(187,1),(188,1),(189,1),(194,1),(205,1),(207,1)}
       201:{3,4,6}:{(189,1),(190,1),(195,1),(206,1),(207,1)}
       202:{1,2,5,7}:{(191,1),(192,1),(193,1),(194,1),(208,1)}
       203:{1,3,6}:{(193,1),(195,1),(196,1),(208,1)}
       204:{2,3,6}:{(194,1),(195,1),(207,1),(208,1)}
       205:{2,5,7}:{(197,1),(198,1),(209,1)}
       206:{3,5,6}:{(198,1),(199,1),(201,1),(209,1)}
       207:{2,4,6}:{(200,1),(201,1),(204,1),(209,1)}
       208:{1,2,6}:{(202,1),(203,1),(204,1)}
       209:{2,5,6}:{(205,1),(206,1),(207,1)}

2039 :   0:{1,2,4,5,6,7}:{(1,1),(8,1),(9,1),(10,1),(20,1),(30,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(37,1),(48,1)}
         2:{1,2,3,5,6,7}:{(6,1),(10,1),(21,1),(31,1),(58,1),(59,1),(60,1),(61,1),(63,1),(65,1),(109,1),(110,1),(152,1),(155,1),(168,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(31,1),(54,1),(67,1)}
         4:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(26,1),(31,1),(58,1),(63,1)}
         5:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(24,1),(31,1),(59,1),(65,1)}
         6:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(78,1),(79,1),(86,1),(88,1),(135,1),(166,1),(173,1)}
         7:{3,4,5,7}:{(3,1),(15,1),(16,1),(17,1),(48,1)}
         8:{1,4,6,7}:{(3,1),(4,1),(16,1),(78,1),(86,1)}
         9:{2,4,6,7}:{(3,1),(5,1),(17,1),(79,1),(88,1)}
        10:{1,2,5,6,7}:{(4,1),(5,1),(18,1),(42,1),(45,1),(83,1)}
        11:{1,2,4,5,7}:{(6,1),(20,1),(21,1),(55,1),(56,1),(60,1),(154,1)}
        12:{3,4,6,7}:{(6,1),(21,1),(31,1),(54,1),(67,1),(152,1),(153,1),(171,1)}
        13:{2,3,4,6,7}:{(9,1),(24,1),(25,1),(31,1),(52,1),(67,1)}
        14:{1,3,4,6,7}:{(8,1),(26,1),(27,1),(31,1),(32,1),(67,1)}
        15:{3,4,5,6}:{(7,1),(28,1),(29,1),(54,1),(66,1),(172,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(26,1),(28,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(24,1),(29,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(30,1),(31,1),(107,1)}
        19:{1,3,4,5,7}:{(26,1),(32,1),(33,1),(55,1),(67,1),(108,1),(114,1),(119,1),(157,1)}
        20:{1,2,4,5,6}:{(11,1),(37,1),(78,1),(79,1),(83,1)}
        21:{3,5,7}:{(11,1),(12,1),(37,1),(165,1)}
        22:{1,3,4,6,7}:{(12,1),(38,1),(40,1),(43,1),(78,1),(86,1),(128,1),(133,1),(134,1),(140,1),(141,1),(166,1)}
        23:{2,3,4,6,7}:{(12,1),(39,1),(40,1),(46,1),(79,1),(88,1),(96,1),(133,1),(134,1),(160,1),(161,1),(173,1)}
        24:{2,3,5,7}:{(13,1),(17,1),(41,1),(42,1),(48,1)}
        25:{1,2,4,6,7}:{(13,1),(42,1),(43,1),(74,1),(86,1)}
        26:{1,3,5,7}:{(14,1),(16,1),(44,1),(45,1),(48,1)}
        27:{1,2,4,6,7}:{(14,1),(45,1),(46,1),(50,1),(88,1)}
        28:{1,4,5,6}:{(15,1),(16,1),(44,1),(78,1),(167,1)}
        29:{2,4,5,6}:{(15,1),(17,1),(41,1),(79,1),(174,1)}
        30:{1,2,4,5,7}:{(16,1),(17,1),(18,1),(42,1),(45,1),(47,1),(48,1),(86,1),(88,1)}
        31:{3,6,7}:{(18,1),(48,1),(133,1)}
        32:{1,3,4,6}:{(19,1),(44,1),(50,1),(78,1),(89,1),(133,1)}
        33:{1,2,4,5,7}:{(19,1),(45,1),(50,1),(51,1),(88,1),(95,1),(137,1),(142,1)}
        34:{2,3,4,5,7}:{(24,1),(52,1),(53,1),(56,1),(67,1),(108,1),(114,1),(147,1),(170,1)}
        35:{3,4,5,7}:{(21,1),(54,1),(55,1),(56,1),(67,1),(108,1),(114,1),(171,1),(172,1)}
        36:{1,2,4,5,6,7}:{(20,1),(57,1),(105,1),(106,1),(109,1),(150,1)}
        37:{3,5,6}:{(20,1),(21,1),(54,1)}
        38:{1,3,5,7}:{(21,1),(22,1),(55,1),(58,1),(60,1),(108,1),(149,1),(157,1)}
        39:{2,3,5,7}:{(21,1),(23,1),(56,1),(59,1),(60,1),(108,1),(121,1),(170,1)}
        40:{1,2,4,6,7}:{(22,1),(23,1),(60,1),(61,1),(107,1),(111,1),(120,1),(148,1)}
        41:{2,3,5,6}:{(24,1),(29,1),(52,1),(62,1),(66,1),(170,1)}
        42:{1,2,5,7}:{(24,1),(25,1),(62,1),(63,1)}
        43:{1,3,6,7}:{(25,1),(31,1),(63,1),(100,1)}
        44:{1,3,5,6}:{(26,1),(28,1),(32,1),(64,1),(66,1),(157,1)}
        45:{1,2,5,7}:{(26,1),(27,1),(64,1),(65,1)}
        46:{2,3,6,7}:{(27,1),(31,1),(65,1),(71,1)}
        47:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(62,1),(64,1),(66,1),(107,1),(112,1),(113,1),(154,1)}
        48:{3,5,7}:{(30,1),(31,1),(66,1),(67,1)}
        49:{2,3,4,5,7}:{(56,1),(68,1),(69,1),(72,1),(108,1),(115,1),(121,1),(171,1),(172,1)}
        50:{1,2,4,6}:{(32,1),(33,1),(64,1),(71,1),(113,1)}
        51:{2,3,5,7}:{(33,1),(71,1),(72,1),(108,1),(121,1)}
        52:{2,3,4,6}:{(34,1),(41,1),(74,1),(79,1),(89,1),(133,1)}
        53:{1,2,4,5,7}:{(34,1),(42,1),(74,1),(75,1),(86,1),(127,1),(136,1),(162,1)}
        54:{3,4,6}:{(35,1),(37,1),(78,1),(79,1),(133,1)}
        55:{1,4,5,7}:{(35,1),(38,1),(78,1),(86,1),(136,1),(166,1),(167,1)}
        56:{2,4,5,7}:{(35,1),(39,1),(79,1),(88,1),(137,1),(173,1),(174,1)}
        57:{3,5,6,7}:{(36,1),(37,1),(77,1),(163,1)}
        58:{1,3,5,6}:{(37,1),(38,1),(78,1),(83,1),(133,1)}
        59:{2,3,5,6}:{(37,1),(39,1),(79,1),(83,1),(133,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(40,1),(83,1),(142,1),(162,1)}
        61:{1,2,3,6,7}:{(40,1),(43,1),(46,1),(84,1),(94,1),(126,1),(133,1),(140,1),(160,1)}
        62:{1,2,5,6}:{(41,1),(42,1),(74,1),(85,1),(162,1)}
        63:{1,3,5,7}:{(42,1),(43,1),(48,1),(85,1),(86,1)}
        64:{1,2,5,6}:{(44,1),(45,1),(50,1),(87,1),(142,1)}
        65:{2,3,5,7}:{(45,1),(46,1),(48,1),(87,1),(88,1)}
        66:{3,5,6}:{(47,1),(48,1),(89,1),(133,1),(165,1)}
        67:{3,4,7}:{(48,1),(86,1),(88,1),(89,1)}
        68:{2,3,4,6}:{(49,1),(79,1),(90,1),(92,1),(133,1),(164,1)}
        69:{1,2,4,5,7}:{(49,1),(92,1),(93,1),(95,1),(138,1),(142,1),(166,1),(167,1)}
        70:{1,2,3,5,7}:{(51,1),(93,1),(94,1),(95,1),(142,1)}
        71:{2,3,6}:{(50,1),(51,1),(133,1)}
        72:{2,3,4,7}:{(51,1),(88,1),(95,1),(96,1),(134,1)}
        73:{1,3,4,5,7}:{(55,1),(97,1),(98,1),(101,1),(108,1),(143,1),(149,1),(171,1),(172,1)}
        74:{1,2,4,6}:{(52,1),(53,1),(62,1),(100,1),(112,1)}
        75:{1,3,5,7}:{(53,1),(100,1),(101,1),(108,1),(149,1)}
        76:{3,4,5,6}:{(54,1),(102,1),(103,1),(104,1),(114,1),(151,1)}
        77:{3,4,6,7}:{(54,1),(57,1),(102,1),(105,1),(106,1),(152,1),(171,1)}
        78:{1,4,6}:{(54,1),(55,1),(58,1)}
        79:{2,4,6}:{(54,1),(56,1),(59,1)}
        80:{1,2,4,5,7}:{(55,1),(56,1),(60,1),(107,1),(108,1),(111,1),(154,1)}
        81:{1,3,5,6,7}:{(57,1),(58,1),(105,1),(109,1),(143,1),(152,1),(155,1)}
        82:{2,3,5,6,7}:{(57,1),(59,1),(106,1),(109,1),(115,1),(152,1),(168,1)}
        83:{1,2,5,6}:{(58,1),(59,1),(60,1),(107,1)}
        84:{1,2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(108,1),(110,1),(111,1),(155,1),(168,1)}
        85:{1,3,5,6}:{(62,1),(63,1),(66,1),(100,1),(112,1),(149,1)}
        86:{1,4,7}:{(63,1),(67,1),(112,1)}
        87:{2,3,5,6}:{(64,1),(65,1),(66,1),(71,1),(113,1),(121,1)}
        88:{2,4,7}:{(65,1),(67,1),(113,1)}
        89:{3,4,6}:{(66,1),(67,1),(112,1),(113,1),(114,1)}
        90:{2,3,5,6}:{(68,1),(104,1),(115,1),(116,1),(121,1),(151,1)}
        91:{2,3,4,6,7}:{(68,1),(106,1),(115,1),(117,1),(152,1),(171,1)}
        92:{1,2,4,6}:{(68,1),(69,1),(116,1),(118,1),(156,1)}
        93:{1,3,5,7}:{(69,1),(108,1),(118,1),(119,1),(157,1)}
        94:{1,2,3,6}:{(70,1),(71,1),(118,1),(120,1)}
        95:{1,2,4,7}:{(70,1),(72,1),(119,1),(120,1)}
        96:{2,3,4,6}:{(71,1),(72,1),(113,1),(120,1),(121,1),(153,1)}
        97:{1,3,4,6}:{(73,1),(78,1),(122,1),(124,1),(133,1),(164,1)}
        98:{1,2,4,5,7}:{(73,1),(124,1),(125,1),(127,1),(158,1),(162,1),(173,1),(174,1)}
        99:{1,2,3,5,7}:{(75,1),(125,1),(126,1),(127,1),(162,1)}
       100:{1,3,6}:{(74,1),(75,1),(133,1)}
       101:{1,3,4,7}:{(75,1),(86,1),(127,1),(128,1),(134,1)}
       102:{3,4,5,7}:{(76,1),(77,1),(129,1),(130,1),(163,1)}
       103:{1,4,5,6}:{(76,1),(78,1),(122,1),(129,1),(136,1)}
       104:{2,4,5,6}:{(76,1),(79,1),(90,1),(130,1),(137,1)}
       105:{1,4,6,7}:{(77,1),(78,1),(81,1),(129,1),(166,1)}
       106:{2,4,6,7}:{(77,1),(79,1),(82,1),(130,1),(173,1)}
       107:{1,2,4,6}:{(78,1),(79,1),(80,1),(83,1),(133,1)}
       108:{3,5,7}:{(80,1),(133,1),(134,1),(165,1)}
       109:{1,2,5,6,7}:{(81,1),(82,1),(83,1),(132,1),(138,1),(158,1)}
       110:{1,2,3,5,6}:{(83,1),(84,1),(85,1),(87,1),(94,1),(126,1),(133,1),(135,1),(139,1),(142,1),(159,1),(162,1),(165,1)}
       111:{1,2,4,7}:{(84,1),(86,1),(88,1),(134,1),(135,1),(166,1),(173,1)}
       112:{1,4,6}:{(85,1),(86,1),(89,1),(136,1)}
       113:{2,4,6}:{(87,1),(88,1),(89,1),(137,1)}
       114:{3,4,5}:{(89,1),(136,1),(137,1),(165,1)}
       115:{2,3,5,7}:{(90,1),(91,1),(130,1),(138,1),(163,1)}
       116:{1,2,5,6}:{(90,1),(92,1),(138,1),(139,1),(142,1)}
       117:{1,2,4,6,7}:{(91,1),(92,1),(138,1),(140,1),(166,1)}
       118:{1,3,6}:{(92,1),(93,1),(133,1)}
       119:{1,3,4,7}:{(93,1),(95,1),(134,1),(141,1),(166,1)}
       120:{1,2,4,6}:{(94,1),(95,1),(96,1),(141,1),(142,1)}
       121:{2,3,5}:{(96,1),(137,1),(142,1),(165,1)}
       122:{1,3,5,6}:{(97,1),(103,1),(143,1),(144,1),(149,1),(151,1)}
       123:{1,3,4,6,7}:{(97,1),(105,1),(143,1),(145,1),(152,1),(171,1)}
       124:{1,2,4,6}:{(97,1),(98,1),(144,1),(146,1),(169,1)}
       125:{2,3,5,7}:{(98,1),(108,1),(146,1),(147,1),(170,1)}
       126:{1,2,3,6}:{(99,1),(100,1),(146,1),(148,1)}
       127:{1,2,4,7}:{(99,1),(101,1),(147,1),(148,1)}
       128:{1,3,4,6}:{(100,1),(101,1),(112,1),(148,1),(149,1),(153,1)}
       129:{1,4,5,7}:{(102,1),(103,1),(105,1),(143,1)}
       130:{2,4,5,7}:{(102,1),(104,1),(106,1),(115,1)}
       131:{1,2,4,5,6}:{(103,1),(104,1),(107,1),(116,1),(144,1),(150,1),(151,1),(154,1),(156,1),(169,1)}
       132:{1,2,4,6,7}:{(105,1),(106,1),(107,1),(109,1),(150,1),(152,1)}
       133:{3,6}:{(107,1),(108,1)}
       134:{3,4,7}:{(108,1),(111,1),(153,1)}
       135:{1,2,4,6}:{(110,1),(111,1),(112,1),(113,1),(153,1),(154,1),(156,1),(169,1)}
       136:{1,4,5}:{(112,1),(114,1),(149,1)}
       137:{2,4,5}:{(113,1),(114,1),(121,1)}
       138:{1,2,5,7}:{(115,1),(116,1),(117,1),(155,1)}
       139:{1,3,5,6}:{(116,1),(118,1),(151,1),(155,1),(156,1),(157,1)}
       140:{1,3,6,7}:{(117,1),(118,1),(152,1),(155,1)}
       141:{1,3,4,6}:{(118,1),(119,1),(120,1),(153,1),(156,1),(157,1)}
       142:{1,2,5}:{(120,1),(121,1),(157,1)}
       143:{1,3,5,7}:{(122,1),(123,1),(129,1),(158,1),(163,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(158,1),(159,1),(162,1)}
       145:{1,2,4,6,7}:{(123,1),(124,1),(158,1),(160,1),(173,1)}
       146:{2,3,6}:{(124,1),(125,1),(133,1)}
       147:{2,3,4,7}:{(125,1),(127,1),(134,1),(161,1),(173,1)}
       148:{1,2,4,6}:{(126,1),(127,1),(128,1),(161,1),(162,1)}
       149:{1,3,5}:{(128,1),(136,1),(162,1),(165,1)}
       150:{1,2,4,5,7}:{(129,1),(130,1),(131,1),(132,1),(138,1),(158,1),(163,1),(166,1),(173,1)}
       151:{3,5,6}:{(131,1),(133,1),(163,1),(164,1),(165,1)}
       152:{3,6,7}:{(132,1),(133,1),(163,1)}
       153:{3,4,6}:{(133,1),(134,1),(135,1),(165,1)}
       154:{1,2,4,5}:{(135,1),(136,1),(137,1),(142,1),(162,1),(165,1),(167,1),(174,1)}
       155:{1,3,5,7}:{(138,1),(139,1),(140,1),(163,1),(166,1)}
       156:{1,4,6}:{(139,1),(164,1),(166,1),(167,1)}
       157:{1,3,5}:{(141,1),(142,1),(165,1),(167,1)}
       158:{1,2,5,7}:{(143,1),(144,1),(145,1),(168,1)}
       159:{2,3,5,6}:{(144,1),(146,1),(151,1),(168,1),(169,1),(170,1)}
       160:{2,3,6,7}:{(145,1),(146,1),(152,1),(168,1)}
       161:{2,3,4,6}:{(146,1),(147,1),(148,1),(153,1),(169,1),(170,1)}
       162:{1,2,5}:{(148,1),(149,1),(170,1)}
       163:{3,5,7}:{(150,1),(151,1),(152,1),(171,1)}
       164:{3,4,6}:{(151,1),(156,1),(169,1),(171,1),(172,1)}
       165:{3,5}:{(153,1),(154,1)}
       166:{1,4,7}:{(155,1),(156,1),(171,1)}
       167:{1,4,5}:{(156,1),(157,1),(172,1)}
       168:{2,3,5,7}:{(158,1),(159,1),(160,1),(163,1),(173,1)}
       169:{2,4,6}:{(159,1),(164,1),(173,1),(174,1)}
       170:{2,3,5}:{(161,1),(162,1),(165,1),(174,1)}
       171:{3,4,7}:{(163,1),(164,1),(166,1),(173,1)}
       172:{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)}

2040 :   0:{1,2,3,6,7}:{(3,1),(4,1),(40,1),(52,1),(85,1),(86,1),(87,1),(104,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(15,1),(19,1),(41,1),(52,1),(55,1),(86,1),(99,1),(104,1)}
         2:{1,3,4,6,7}:{(4,1),(6,1),(15,1),(22,1),(42,1),(52,1),(57,1),(87,1),(100,1),(104,1)}
         3:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(28,1),(31,1),(58,1),(69,1),(94,1),(95,1)}
         4:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(32,1),(60,1),(73,1),(74,1),(96,1),(103,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(10,1),(11,1),(31,1),(61,1),(66,1)}
         6:{1,3,5,7}:{(2,1),(9,1),(12,1),(13,1),(31,1),(62,1),(68,1)}
         7:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(40,1),(43,1),(52,1),(79,1),(80,1),(81,1),(85,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(75,1),(99,1),(100,1)}
         9:{1,2,5,7}:{(4,1),(5,1),(6,1),(17,1),(79,1),(83,1),(84,1)}
        10:{2,4,5,7}:{(5,1),(18,1),(19,1),(76,1),(99,1)}
        11:{2,3,5,6}:{(5,1),(17,1),(19,1),(45,1),(52,1)}
        12:{1,4,5,7}:{(6,1),(21,1),(22,1),(77,1),(100,1)}
        13:{1,3,5,6}:{(6,1),(17,1),(22,1),(47,1),(52,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(90,1),(91,1)}
        15:{3,4,7}:{(8,1),(24,1),(31,1),(88,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(12,1),(25,1),(31,1),(32,1),(34,1),(37,1),(69,1),(89,1),(103,1)}
        17:{1,2,5,6}:{(9,1),(11,1),(13,1),(32,1),(65,1),(67,1)}
        18:{3,4,5,7}:{(10,1),(31,1),(34,1),(35,1),(59,1),(66,1),(92,1)}
        19:{2,4,6}:{(10,1),(11,1),(35,1)}
        20:{2,3,5,6,7}:{(11,1),(33,1),(36,1),(66,1),(72,1),(94,1)}
        21:{3,4,5,7}:{(12,1),(31,1),(37,1),(38,1),(59,1),(68,1),(92,1)}
        22:{1,4,6}:{(12,1),(13,1),(38,1)}
        23:{1,3,5,6,7}:{(13,1),(33,1),(39,1),(68,1),(72,1),(95,1)}
        24:{3,4,6}:{(14,1),(15,1),(43,1),(52,1)}
        25:{1,2,4,5}:{(14,1),(43,1),(76,1),(77,1),(79,1)}
        26:{2,4,5,6}:{(19,1),(45,1),(46,1)}
        27:{1,4,5,6}:{(22,1),(47,1),(48,1)}
        28:{1,2,3,7}:{(40,1),(49,1),(104,1)}
        29:{2,3,4,7}:{(15,1),(41,1),(49,1),(50,1),(99,1),(104,1)}
        30:{1,3,4,7}:{(15,1),(42,1),(49,1),(51,1),(100,1),(104,1)}
        31:{3,5,7}:{(15,1),(16,1),(43,1),(52,1),(97,1),(104,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(19,1),(22,1),(52,1),(54,1),(56,1),(85,1)}
        33:{1,2,5,6,7}:{(17,1),(20,1),(23,1),(53,1),(83,1),(84,1),(101,1)}
        34:{1,4,5,7}:{(18,1),(51,1),(54,1),(77,1),(83,1),(100,1)}
        35:{3,4,6}:{(18,1),(19,1),(45,1),(52,1),(54,1)}
        36:{2,4,6,7}:{(19,1),(20,1),(46,1),(55,1),(99,1)}
        37:{2,4,5,7}:{(21,1),(50,1),(56,1),(76,1),(84,1),(99,1)}
        38:{3,4,6}:{(21,1),(22,1),(47,1),(52,1),(56,1)}
        39:{1,4,6,7}:{(22,1),(23,1),(48,1),(57,1),(100,1)}
        40:{1,2,3,6}:{(28,1),(58,1),(60,1),(102,1)}
        41:{2,3,4,6}:{(24,1),(29,1),(60,1),(61,1),(70,1),(88,1),(90,1),(102,1)}
        42:{1,3,4,6}:{(24,1),(30,1),(60,1),(62,1),(71,1),(88,1),(91,1),(102,1)}
        43:{3,5}:{(24,1),(25,1)}
        44:{1,2,4,5,6}:{(25,1),(26,1),(27,1),(32,1),(63,1),(64,1),(65,1),(67,1),(90,1),(91,1),(93,1)}
        45:{3,5,6}:{(26,1),(35,1),(65,1),(66,1)}
        46:{2,4,5,7}:{(26,1),(36,1),(66,1)}
        47:{3,5,6}:{(27,1),(38,1),(67,1),(68,1)}
        48:{1,4,5,7}:{(27,1),(39,1),(68,1)}
        49:{1,2,4,7}:{(28,1),(29,1),(30,1),(60,1),(69,1)}
        50:{2,3,5,7}:{(29,1),(31,1),(37,1),(61,1),(69,1),(70,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(34,1),(62,1),(69,1),(71,1)}
        52:{3,6}:{(31,1),(32,1)}
        53:{1,2,4,6,7}:{(32,1),(33,1),(36,1),(39,1),(64,1),(72,1),(73,1),(74,1),(96,1),(103,1)}
        54:{1,4,6}:{(34,1),(35,1),(65,1),(71,1)}
        55:{3,4,6,7}:{(35,1),(36,1),(66,1),(72,1),(73,1),(92,1)}
        56:{2,4,6}:{(37,1),(38,1),(67,1),(70,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(68,1),(72,1),(74,1),(92,1)}
        58:{1,2,3,5}:{(40,1),(75,1),(79,1),(97,1)}
        59:{3,4,5}:{(43,1),(76,1),(77,1),(78,1),(97,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(42,1),(49,1),(75,1),(79,1),(85,1)}
        61:{2,3,5}:{(41,1),(43,1),(76,1),(79,1),(97,1)}
        62:{1,3,5}:{(42,1),(43,1),(77,1),(79,1),(97,1)}
        63:{3,5,6}:{(43,1),(44,1),(52,1),(78,1),(82,1)}
        64:{1,2,4,5,7}:{(44,1),(46,1),(48,1),(53,1),(82,1),(83,1),(84,1),(99,1),(100,1),(101,1)}
        65:{1,5,6}:{(45,1),(54,1),(83,1)}
        66:{3,5,7}:{(45,1),(46,1),(55,1),(83,1)}
        67:{2,5,6}:{(47,1),(56,1),(84,1)}
        68:{3,5,7}:{(47,1),(48,1),(57,1),(84,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(85,1)}
        70:{2,3,6}:{(50,1),(52,1),(56,1),(85,1)}
        71:{1,3,6}:{(51,1),(52,1),(54,1),(85,1)}
        72:{3,6,7}:{(52,1),(53,1),(82,1),(104,1)}
        73:{1,4,6,7}:{(54,1),(55,1),(83,1),(87,1),(100,1)}
        74:{2,4,6,7}:{(56,1),(57,1),(84,1),(86,1),(99,1)}
        75:{1,2,4}:{(58,1),(88,1)}
        76:{2,4,5}:{(59,1),(61,1),(90,1)}
        77:{1,4,5}:{(59,1),(62,1),(91,1)}
        78:{3,4,6}:{(59,1),(63,1),(90,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(60,1),(61,1),(62,1)}
        80:{2,3,5,6}:{(61,1),(63,1),(67,1),(70,1),(90,1),(93,1),(94,1),(102,1)}
        81:{1,3,5,6}:{(62,1),(63,1),(65,1),(71,1),(91,1),(93,1),(95,1),(102,1)}
        82:{3,5,7}:{(63,1),(64,1),(72,1),(92,1)}
        83:{1,5,7}:{(65,1),(66,1),(73,1)}
        84:{2,5,7}:{(67,1),(68,1),(74,1)}
        85:{1,2,6}:{(69,1),(70,1),(71,1)}
        86:{2,3,6,7}:{(70,1),(72,1),(74,1),(94,1),(96,1)}
        87:{1,3,6,7}:{(71,1),(72,1),(73,1),(95,1),(96,1)}
        88:{3,4}:{(75,1),(97,1)}
        89:{1,2,4,5}:{(75,1),(76,1),(77,1),(79,1),(97,1),(98,1)}
        90:{2,4,6}:{(76,1),(78,1),(80,1),(99,1)}
        91:{1,4,6}:{(77,1),(78,1),(81,1),(100,1)}
        92:{3,4,7}:{(78,1),(82,1),(99,1),(100,1),(104,1)}
        93:{1,2,5,6}:{(79,1),(80,1),(81,1),(85,1),(98,1),(101,1)}
        94:{2,3,5,7}:{(80,1),(82,1),(84,1),(86,1),(99,1),(101,1),(104,1)}
        95:{1,3,5,7}:{(81,1),(82,1),(83,1),(87,1),(100,1),(101,1),(104,1)}
        96:{1,2,6,7}:{(85,1),(86,1),(87,1),(101,1)}
        97:{3,5}:{(88,1),(89,1),(102,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{2,4,7}:{(90,1),(92,1),(94,1)}
       100:{1,4,7}:{(91,1),(92,1),(95,1)}
       101:{1,2,5,7}:{(93,1),(94,1),(95,1),(96,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

2041 :   0:{3,4,5,6,7}:{(1,1),(2,1),(14,1),(92,1)}
         1:{1,4,5,6,7}:{(0,1),(4,1),(99,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(97,1)}
         3:{2,3,4,5,6}:{(7,1),(8,1),(49,1),(52,1),(98,1)}
         4:{1,3,5,6,7}:{(1,1),(11,1),(12,1),(14,1),(90,1)}
         5:{2,3,5,6,7}:{(2,1),(10,1),(13,1),(14,1),(88,1)}
         6:{1,2,4,5,6,7}:{(1,1),(2,1),(12,1),(13,1),(14,1),(32,1),(33,1),(63,1)}
         7:{2,3,4,5,7}:{(3,1),(10,1),(15,1),(34,1),(66,1),(88,1)}
         8:{1,2,4,5,6}:{(3,1),(15,1),(16,1),(37,1),(65,1),(89,1)}
         9:{1,3,4,5,6}:{(17,1),(18,1),(49,1),(72,1),(100,1)}
        10:{2,3,4,6,7}:{(5,1),(7,1),(19,1),(23,1)}
        11:{1,3,4,6,7}:{(4,1),(17,1),(20,1),(23,1)}
        12:{1,2,5,6,7}:{(4,1),(20,1),(21,1),(78,1)}
        13:{1,2,5,6,7}:{(5,1),(19,1),(22,1),(75,1)}
        14:{3,5,6,7}:{(6,1),(23,1),(80,1)}
        15:{1,2,4,5,7}:{(7,1),(8,1),(19,1),(24,1),(48,1),(50,1),(75,1)}
        16:{1,3,5,6}:{(8,1),(24,1),(26,1)}
        17:{1,3,4,5,7}:{(9,1),(11,1),(27,1),(34,1),(84,1),(90,1)}
        18:{1,2,4,5,6}:{(9,1),(27,1),(28,1),(56,1),(64,1),(91,1)}
        19:{1,2,4,6,7}:{(10,1),(13,1),(15,1),(29,1),(33,1)}
        20:{1,2,4,6,7}:{(11,1),(12,1),(27,1),(30,1),(32,1)}
        21:{2,3,5,6,7}:{(12,1),(14,1),(30,1),(32,1),(61,1)}
        22:{1,3,5,6,7}:{(13,1),(14,1),(29,1),(33,1),(59,1)}
        23:{3,4,6,7}:{(14,1),(32,1),(33,1),(34,1)}
        24:{1,3,5,7}:{(15,1),(16,1),(29,1),(36,1)}
        25:{1,2,3,5,6}:{(16,1),(35,1),(37,1),(69,1),(89,1),(94,1)}
        26:{1,3,4,6}:{(16,1),(36,1),(37,1),(38,1)}
        27:{1,2,4,5,7}:{(17,1),(18,1),(20,1),(39,1),(47,1),(70,1),(78,1)}
        28:{2,3,5,6}:{(18,1),(39,1),(41,1)}
        29:{1,3,6,7}:{(19,1),(24,1)}
        30:{2,3,6,7}:{(20,1),(39,1)}
        31:{1,2,3,5,6,7}:{(21,1),(22,1),(42,1),(44,1),(46,1),(75,1),(78,1),(80,1),(98,1),(100,1)}
        32:{2,4,6,7}:{(21,1),(23,1),(47,1)}
        33:{1,4,6,7}:{(22,1),(23,1),(48,1)}
        34:{3,4,5,7}:{(23,1),(47,1),(48,1),(49,1),(80,1)}
        35:{1,2,3,5,7}:{(24,1),(25,1),(42,1),(50,1),(75,1),(82,1)}
        36:{1,3,4,7}:{(24,1),(26,1),(50,1)}
        37:{1,2,4,6}:{(25,1),(26,1),(50,1),(52,1),(53,1)}
        38:{1,3,4,5}:{(26,1),(53,1)}
        39:{2,3,5,7}:{(27,1),(28,1),(30,1),(55,1)}
        40:{1,2,3,5,6}:{(28,1),(54,1),(56,1),(87,1),(91,1),(102,1)}
        41:{2,3,4,6}:{(28,1),(55,1),(56,1),(57,1)}
        42:{1,2,3,6,7}:{(29,1),(35,1),(58,1),(94,1)}
        43:{1,3,4,6,7}:{(29,1),(33,1),(36,1),(58,1),(59,1),(62,1),(68,1)}
        44:{1,2,3,6,7}:{(30,1),(54,1),(60,1),(102,1)}
        45:{2,3,4,6,7}:{(30,1),(32,1),(55,1),(60,1),(61,1),(62,1),(86,1)}
        46:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(62,1),(63,1),(103,1),(104,1)}
        47:{2,4,5,7}:{(32,1),(34,1),(61,1),(64,1)}
        48:{1,4,5,7}:{(33,1),(34,1),(59,1),(65,1)}
        49:{3,4,5,6}:{(34,1),(64,1),(65,1),(93,1)}
        50:{1,2,4,7}:{(35,1),(36,1),(37,1),(66,1)}
        51:{1,3,4,5,7}:{(36,1),(38,1),(59,1),(67,1),(68,1),(92,1)}
        52:{2,3,4,6}:{(37,1),(66,1),(69,1),(94,1)}
        53:{1,2,4,5}:{(37,1),(38,1),(69,1)}
        54:{1,2,3,5,7}:{(39,1),(40,1),(44,1),(70,1),(78,1),(95,1)}
        55:{2,3,4,7}:{(39,1),(41,1),(70,1)}
        56:{1,2,4,6}:{(40,1),(41,1),(70,1),(72,1),(73,1)}
        57:{2,3,4,5}:{(41,1),(73,1)}
        58:{1,2,4,6,7}:{(42,1),(43,1),(50,1),(74,1),(75,1),(83,1)}
        59:{1,3,5,7}:{(43,1),(48,1),(75,1),(76,1),(80,1)}
        60:{1,2,4,6,7}:{(44,1),(45,1),(70,1),(77,1),(78,1),(96,1)}
        61:{2,3,5,7}:{(45,1),(47,1),(78,1),(79,1),(80,1)}
        62:{3,4,6,7}:{(46,1),(80,1),(101,1)}
        63:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(75,1),(78,1),(80,1),(81,1),(97,1),(99,1)}
        64:{2,4,5,6}:{(47,1),(49,1),(79,1)}
        65:{1,4,5,6}:{(48,1),(49,1),(76,1)}
        66:{2,3,4,7}:{(50,1),(52,1),(82,1)}
        67:{1,2,4,5,7}:{(50,1),(51,1),(53,1),(75,1),(82,1),(83,1),(97,1)}
        68:{1,3,4,6}:{(51,1),(76,1),(83,1),(101,1)}
        69:{2,3,5}:{(52,1),(53,1)}
        70:{1,2,4,7}:{(54,1),(55,1),(56,1),(84,1)}
        71:{2,3,4,5,7}:{(55,1),(57,1),(61,1),(85,1),(86,1),(92,1)}
        72:{1,3,4,6}:{(56,1),(84,1),(87,1),(102,1)}
        73:{1,2,4,5}:{(56,1),(57,1),(87,1)}
        74:{2,3,4,6,7}:{(58,1),(62,1),(66,1),(88,1),(94,1),(103,1)}
        75:{1,2,5,7}:{(58,1),(59,1),(88,1),(89,1)}
        76:{1,3,5,6}:{(59,1),(65,1),(68,1),(89,1),(93,1)}
        77:{1,3,4,6,7}:{(60,1),(62,1),(84,1),(90,1),(102,1),(104,1)}
        78:{1,2,5,7}:{(60,1),(61,1),(90,1),(91,1)}
        79:{2,3,5,6}:{(61,1),(64,1),(86,1),(91,1),(93,1)}
        80:{3,5,7}:{(62,1),(63,1),(93,1)}
        81:{1,2,4,5,6}:{(63,1),(64,1),(65,1),(89,1),(91,1),(93,1),(103,1),(104,1)}
        82:{2,3,5,7}:{(66,1),(67,1),(69,1),(94,1)}
        83:{1,2,4,6}:{(67,1),(68,1),(89,1),(94,1),(103,1)}
        84:{1,3,4,7}:{(70,1),(72,1),(95,1)}
        85:{1,2,4,5,7}:{(70,1),(71,1),(73,1),(78,1),(95,1),(96,1),(99,1)}
        86:{2,3,4,6}:{(71,1),(79,1),(96,1),(101,1)}
        87:{1,3,5}:{(72,1),(73,1)}
        88:{2,3,5,7}:{(74,1),(75,1),(80,1),(97,1),(98,1)}
        89:{1,2,5,6}:{(75,1),(76,1),(83,1),(98,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(80,1),(99,1),(100,1)}
        91:{1,2,5,6}:{(78,1),(79,1),(96,1),(100,1)}
        92:{3,4,5,7}:{(80,1),(97,1),(99,1),(101,1)}
        93:{3,5,6}:{(80,1),(81,1),(101,1)}
        94:{2,3,6}:{(82,1),(83,1)}
        95:{1,3,5,7}:{(84,1),(85,1),(87,1),(102,1)}
        96:{1,2,4,6}:{(85,1),(86,1),(91,1),(102,1),(104,1)}
        97:{2,4,5,7}:{(88,1),(92,1),(103,1)}
        98:{2,3,5,6}:{(88,1),(89,1),(93,1),(94,1),(103,1)}
        99:{1,4,5,7}:{(90,1),(92,1),(104,1)}
       100:{1,3,5,6}:{(90,1),(91,1),(93,1),(102,1),(104,1)}
       101:{3,4,6}:{(92,1),(93,1),(103,1),(104,1)}
       102:{1,3,6}:{(95,1),(96,1)}
       103:{2,4,6}:{(97,1),(98,1),(101,1)}
       104:{1,4,6}:{(99,1),(100,1),(101,1)}

2042 :  0:{1,2,3,4,7}:{(1,1),(2,1),(30,1),(79,1)}
        1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(39,1),(69,1)}
        2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        3:{1,3,4,5,7}:{(4,1),(7,1),(18,1),(22,1),(43,1)}
        4:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(10,1),(26,1),(30,1)}
        5:{1,2,3,5}:{(1,1),(10,1)}
        6:{1,2,3,6}:{(2,1),(9,1)}
        7:{1,3,4,6}:{(3,1),(9,1),(13,1),(29,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(18,1),(35,1),(43,1)}
        9:{1,2,4,6}:{(4,1),(6,1),(7,1),(15,1),(16,1)}
       10:{1,2,4,5}:{(5,1),(18,1),(19,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(16,1),(19,1),(20,1),(37,1),(66,1),(69,1)}
       12:{1,2,3,6,7}:{(6,1),(17,1),(20,1),(65,1),(82,1)}
       13:{1,3,5,6}:{(7,1),(16,1),(21,1),(22,1),(37,1)}
       14:{1,3,4,6,7}:{(7,1),(17,1),(22,1),(43,1),(44,1),(65,1)}
       15:{2,3,4,6}:{(8,1),(9,1),(23,1),(29,1)}
       16:{1,2,5,6}:{(9,1),(13,1),(23,1),(26,1)}
       17:{1,2,4,6,7}:{(9,1),(12,1),(14,1),(24,1),(26,1),(30,1)}
       18:{3,4,5}:{(10,1),(29,1)}
       19:{1,2,4,6}:{(10,1),(11,1),(29,1),(30,1)}
       20:{1,2,3,5,7}:{(11,1),(12,1),(26,1),(30,1),(54,1),(78,1),(79,1)}
       21:{1,4,5,6}:{(13,1),(32,1),(33,1)}
       22:{1,3,5,7}:{(13,1),(14,1),(26,1),(33,1),(54,1)}
       23:{2,3,5,6}:{(15,1),(16,1),(34,1),(35,1),(37,1)}
       24:{2,3,4,6,7}:{(15,1),(17,1),(35,1),(43,1),(62,1),(65,1)}
       25:{1,2,4,5,6}:{(16,1),(19,1),(21,1),(34,1),(37,1),(38,1),(45,1),(63,1),(66,1)}
       26:{1,2,5,7}:{(16,1),(17,1),(22,1),(35,1)}
       27:{2,3,4,5}:{(18,1),(40,1),(41,1)}
       28:{1,3,4,5}:{(18,1),(40,1),(42,1)}
       29:{3,4,6}:{(18,1),(19,1),(37,1),(43,1)}
       30:{1,2,4,7}:{(19,1),(20,1),(43,1)}
       31:{1,3,5,6,7}:{(22,1),(36,1),(44,1),(61,1),(65,1)}
       32:{3,4,5,6}:{(21,1),(37,1),(45,1),(46,1)}
       33:{1,4,5,7}:{(21,1),(22,1),(44,1),(46,1)}
       34:{2,4,5,6}:{(23,1),(49,1),(50,1)}
       35:{2,3,5,7}:{(23,1),(24,1),(26,1),(50,1),(54,1)}
       36:{1,2,5,6,7}:{(26,1),(31,1),(48,1),(51,1),(72,1),(83,1)}
       37:{3,5,6}:{(25,1),(29,1),(54,1)}
       38:{1,2,4,5,7}:{(25,1),(26,1),(30,1),(33,1),(50,1),(51,1),(54,1),(60,1),(75,1),(78,1)}
       39:{1,2,3,4}:{(55,1)}
       40:{1,2,4,5}:{(27,1),(28,1),(55,1),(56,1)}
       41:{2,3,4,6}:{(27,1),(29,1),(52,1),(56,1),(57,1)}
       42:{1,3,4,6}:{(28,1),(29,1),(53,1),(56,1),(58,1)}
       43:{3,4,7}:{(29,1),(30,1),(54,1)}
       44:{1,4,6,7}:{(31,1),(33,1),(59,1)}
       45:{2,4,5,6}:{(32,1),(52,1),(60,1)}
       46:{3,4,5,7}:{(32,1),(33,1),(54,1),(59,1),(60,1)}
       47:{1,4,5,6,7}:{(44,1),(61,1)}
       48:{2,3,5,6,7}:{(35,1),(36,1),(62,1),(65,1),(80,1)}
       49:{3,4,5,6}:{(34,1),(37,1),(63,1),(64,1)}
       50:{2,4,5,7}:{(34,1),(35,1),(62,1),(64,1)}
       51:{1,2,4,6,7}:{(36,1),(38,1),(44,1),(62,1),(65,1),(71,1),(81,1),(82,1)}
       52:{2,3,5,6}:{(37,1),(41,1),(45,1),(66,1),(67,1)}
       53:{1,3,5,6}:{(37,1),(42,1),(63,1),(66,1),(68,1)}
       54:{3,5,7}:{(37,1),(38,1),(43,1),(65,1)}
       55:{1,2,3,5}:{(39,1),(40,1),(69,1)}
       56:{1,2,4,6}:{(40,1),(41,1),(42,1),(66,1),(69,1),(70,1)}
       57:{2,3,4,7}:{(41,1),(43,1),(67,1),(70,1)}
       58:{1,3,4,7}:{(42,1),(43,1),(68,1),(70,1)}
       59:{3,4,6,7}:{(44,1),(46,1),(61,1),(65,1),(71,1)}
       60:{2,4,5,7}:{(45,1),(46,1),(67,1),(71,1)}
       61:{3,5,6,7}:{(47,1),(59,1),(72,1)}
       62:{2,4,6,7}:{(48,1),(50,1),(74,1)}
       63:{1,4,5,6}:{(49,1),(53,1),(75,1)}
       64:{3,4,5,7}:{(49,1),(50,1),(54,1),(74,1),(75,1)}
       65:{3,6,7}:{(51,1),(54,1)}
       66:{1,2,5,6}:{(52,1),(53,1),(56,1),(78,1)}
       67:{2,3,5,7}:{(52,1),(54,1),(57,1),(60,1),(76,1),(78,1)}
       68:{1,3,5,7}:{(53,1),(54,1),(58,1),(75,1),(77,1),(78,1)}
       69:{1,2,3,6}:{(55,1),(56,1),(79,1)}
       70:{1,2,4,7}:{(56,1),(57,1),(58,1),(78,1),(79,1)}
       71:{2,4,6,7}:{(59,1),(60,1),(72,1),(76,1)}
       72:{2,5,6,7}:{(61,1),(71,1)}
       73:{2,4,5,6,7}:{(62,1),(80,1)}
       74:{3,4,6,7}:{(62,1),(64,1),(65,1),(80,1),(81,1)}
       75:{1,4,5,7}:{(63,1),(64,1),(68,1),(81,1)}
       76:{2,3,6,7}:{(65,1),(67,1),(71,1),(82,1)}
       77:{1,3,6,7}:{(65,1),(68,1),(81,1),(82,1)}
       78:{1,2,5,7}:{(66,1),(67,1),(68,1),(70,1),(82,1)}
       79:{1,2,3,7}:{(69,1),(70,1)}
       80:{3,5,6,7}:{(73,1),(74,1),(83,1)}
       81:{1,4,6,7}:{(74,1),(75,1),(77,1),(83,1)}
       82:{1,2,6,7}:{(76,1),(77,1),(78,1)}
       83:{1,5,6,7}:{(80,1),(81,1)}

2043 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(8,1),(22,1),(26,1),(27,1)}
         2:{1,2,3,5}:{(0,1),(7,1),(8,1)}
         3:{1,3,4,5}:{(7,1),(9,1),(24,1)}
         4:{1,2,3,4}:{(10,1)}
         5:{1,2,3,4,7}:{(1,1),(12,1),(18,1),(38,1),(46,1)}
         6:{1,2,3,5}:{(1,1),(13,1)}
         7:{1,2,4,5}:{(2,1),(3,1),(16,1),(17,1)}
         8:{1,2,3,6}:{(2,1),(17,1),(18,1)}
         9:{1,3,4,6}:{(3,1),(17,1),(19,1),(20,1),(42,1)}
        10:{1,2,3,5}:{(4,1),(21,1),(22,1)}
        11:{2,3,4,5}:{(21,1),(23,1),(24,1)}
        12:{1,2,3,5,7}:{(5,1),(6,1),(25,1),(26,1)}
        13:{1,2,4,5}:{(6,1),(24,1),(27,1)}
        14:{1,2,3,5,6}:{(6,1),(8,1),(22,1),(26,1),(27,1),(28,1),(33,1),(55,1),(59,1),(61,1)}
        15:{3,4,5,6}:{(29,1),(30,1),(31,1),(59,1),(89,1)}
        16:{2,3,4,5}:{(7,1),(24,1),(32,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(9,1),(32,1),(33,1),(34,1)}
        18:{1,2,3,7}:{(8,1),(34,1)}
        19:{1,3,5,6}:{(9,1),(29,1),(33,1),(35,1),(59,1)}
        20:{1,3,4,7}:{(9,1),(34,1),(35,1),(60,1)}
        21:{1,2,4,5}:{(10,1),(11,1),(36,1),(37,1)}
        22:{1,2,3,6}:{(10,1),(37,1),(38,1)}
        23:{2,3,4,6}:{(11,1),(37,1),(39,1),(40,1),(42,1)}
        24:{3,4,5}:{(13,1),(42,1)}
        25:{1,2,4,5,7}:{(12,1),(13,1),(41,1),(43,1),(46,1),(78,1)}
        26:{1,2,3,6}:{(12,1),(43,1)}
        27:{1,2,4,6}:{(13,1),(14,1),(42,1),(46,1)}
        28:{1,2,3,5,7}:{(14,1),(18,1),(38,1),(44,1),(46,1),(52,1),(72,1),(77,1),(78,1)}
        29:{1,4,5,6}:{(15,1),(19,1),(47,1)}
        30:{2,4,5,6}:{(15,1),(39,1),(48,1)}
        31:{3,4,5,7}:{(15,1),(47,1),(48,1),(49,1),(77,1),(97,1)}
        32:{2,3,4,6}:{(16,1),(17,1),(42,1),(50,1),(51,1)}
        33:{1,2,5,6}:{(17,1),(19,1),(50,1),(52,1)}
        34:{1,2,4,7}:{(17,1),(18,1),(20,1),(51,1),(52,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(47,1),(52,1),(53,1),(77,1)}
        36:{1,3,4,5}:{(21,1),(24,1),(54,1)}
        37:{1,2,4,6}:{(21,1),(22,1),(23,1),(54,1),(55,1),(56,1)}
        38:{1,2,3,7}:{(22,1),(56,1)}
        39:{2,3,5,6}:{(23,1),(30,1),(55,1),(57,1),(59,1)}
        40:{2,3,4,7}:{(23,1),(56,1),(57,1),(60,1)}
        41:{3,4,5,7}:{(24,1),(25,1),(58,1),(60,1),(90,1)}
        42:{3,4,6}:{(24,1),(27,1),(59,1),(60,1)}
        43:{1,2,4,6}:{(25,1),(26,1),(58,1),(61,1)}
        44:{1,2,3,6,7}:{(26,1),(28,1),(62,1),(69,1),(87,1),(91,1)}
        45:{1,2,4,5,6}:{(27,1),(29,1),(30,1),(33,1),(55,1),(59,1),(61,1),(63,1),(67,1),(85,1),(89,1)}
        46:{1,2,4,7}:{(27,1),(28,1),(60,1)}
        47:{1,4,5,7}:{(29,1),(31,1),(35,1),(64,1)}
        48:{2,4,5,7}:{(30,1),(31,1),(57,1),(65,1)}
        49:{3,4,6,7}:{(31,1),(64,1),(65,1),(66,1),(91,1),(102,1)}
        50:{2,3,5,6}:{(32,1),(33,1),(59,1),(67,1),(68,1)}
        51:{2,3,4,7}:{(32,1),(34,1),(60,1),(68,1)}
        52:{1,2,5,7}:{(33,1),(34,1),(35,1),(68,1),(69,1)}
        53:{1,3,6,7}:{(35,1),(64,1),(69,1),(91,1)}
        54:{1,3,4,6}:{(36,1),(37,1),(42,1),(70,1),(71,1)}
        55:{1,2,5,6}:{(37,1),(39,1),(70,1),(72,1)}
        56:{1,2,4,7}:{(37,1),(38,1),(40,1),(71,1),(72,1)}
        57:{2,3,5,7}:{(39,1),(40,1),(48,1),(72,1),(73,1),(77,1)}
        58:{3,4,6}:{(41,1),(43,1),(75,1)}
        59:{3,5,6}:{(42,1),(45,1),(77,1)}
        60:{3,4,7}:{(42,1),(46,1),(77,1)}
        61:{1,2,5,6}:{(43,1),(75,1),(78,1)}
        62:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(76,1),(78,1)}
        63:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(48,1),(52,1),(72,1),(77,1),(78,1),(79,1),(83,1),(94,1),(97,1)}
        64:{1,4,6,7}:{(47,1),(49,1),(53,1),(80,1)}
        65:{2,4,6,7}:{(48,1),(49,1),(73,1),(81,1)}
        66:{3,5,6,7}:{(49,1),(80,1),(81,1),(82,1)}
        67:{2,4,5,6}:{(50,1),(74,1),(83,1)}
        68:{2,3,5,7}:{(50,1),(51,1),(52,1),(77,1),(83,1),(84,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(84,1)}
        70:{1,3,5,6}:{(54,1),(55,1),(59,1),(85,1),(86,1)}
        71:{1,3,4,7}:{(54,1),(56,1),(60,1),(86,1)}
        72:{1,2,5,7}:{(55,1),(56,1),(57,1),(86,1),(87,1)}
        73:{2,3,6,7}:{(57,1),(65,1),(87,1),(91,1)}
        74:{3,4,5,6}:{(59,1),(67,1),(85,1),(88,1),(89,1)}
        75:{3,5,6}:{(58,1),(61,1),(89,1),(90,1)}
        76:{3,4,6,7}:{(58,1),(60,1),(62,1),(90,1),(91,1),(102,1)}
        77:{3,5,7}:{(59,1),(60,1),(63,1),(91,1)}
        78:{1,2,5,7}:{(61,1),(62,1),(90,1)}
        79:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(69,1),(87,1),(91,1),(92,1),(93,1),(100,1),(102,1)}
        80:{1,5,6,7}:{(64,1),(66,1)}
        81:{2,5,6,7}:{(65,1),(66,1)}
        82:{4,5,6,7}:{(66,1),(102,1)}
        83:{2,4,5,7}:{(67,1),(68,1),(88,1),(93,1)}
        84:{2,3,6,7}:{(68,1),(69,1),(91,1),(93,1)}
        85:{1,4,5,6}:{(70,1),(74,1),(94,1)}
        86:{1,3,5,7}:{(70,1),(71,1),(72,1),(77,1),(94,1),(95,1)}
        87:{1,2,6,7}:{(72,1),(73,1),(95,1)}
        88:{3,4,5,7}:{(74,1),(77,1),(83,1),(94,1),(96,1),(97,1)}
        89:{4,5,6}:{(75,1),(97,1)}
        90:{3,5,7}:{(75,1),(76,1),(78,1),(97,1)}
        91:{3,6,7}:{(77,1),(79,1)}
        92:{1,2,5,6,7}:{(78,1),(79,1),(80,1),(81,1),(98,1),(99,1),(103,1)}
        93:{2,4,6,7}:{(83,1),(84,1),(96,1),(99,1)}
        94:{1,4,5,7}:{(85,1),(86,1),(88,1),(100,1)}
        95:{1,3,6,7}:{(86,1),(87,1),(91,1),(100,1)}
        96:{3,4,6,7}:{(88,1),(91,1),(93,1),(100,1),(101,1),(102,1)}
        97:{4,5,7}:{(89,1),(90,1),(102,1)}
        98:{3,5,6,7}:{(90,1),(91,1),(92,1),(102,1)}
        99:{2,5,6,7}:{(93,1),(101,1)}
       100:{1,4,6,7}:{(94,1),(95,1),(96,1),(103,1)}
       101:{3,5,6,7}:{(96,1),(99,1),(103,1),(104,1)}
       102:{4,6,7}:{(97,1),(98,1)}
       103:{1,5,6,7}:{(100,1),(101,1)}
       104:{4,5,6,7}:{(101,1),(102,1)}

2044 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(65,1),(72,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(53,1),(60,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(58,1),(61,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(48,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(45,1),(49,1)}
         5:{1,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(30,1),(54,1),(58,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(36,1),(76,1)}
         8:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(36,1),(53,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(37,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{1,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(42,1),(45,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(24,1),(87,1)}
        15:{2,4,5,6,7}:{(7,1),(8,1),(64,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(45,1)}
        17:{1,3,6,7}:{(9,1),(10,1)}
        18:{1,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{1,3,4,5}:{(11,1),(23,1)}
        20:{2,3,4,6}:{(13,1),(29,1),(30,1),(54,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(33,1),(54,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(29,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(30,1)}
        24:{1,3,5,6,7}:{(14,1),(31,1),(35,1),(36,1),(80,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(35,1),(36,1),(37,1),(57,1),(59,1)}
        26:{1,3,5,6,7}:{(16,1),(17,1),(36,1),(37,1),(38,1)}
        27:{1,3,4,6,7}:{(17,1),(18,1),(33,1),(37,1),(38,1),(39,1),(56,1)}
        28:{1,3,4,5,7}:{(18,1),(19,1),(34,1),(38,1),(39,1),(76,1)}
        29:{2,3,4,7}:{(20,1),(22,1),(42,1)}
        30:{2,3,5}:{(20,1),(23,1)}
        31:{1,3,4,6,7}:{(24,1),(40,1),(43,1),(48,1)}
        32:{1,2,3,5,6,7}:{(21,1),(26,1),(44,1),(45,1),(47,1),(65,1),(66,1),(69,1),(89,1),(91,1)}
        33:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(41,1),(45,1),(46,1)}
        34:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(42,1),(45,1),(46,1),(64,1)}
        35:{1,2,5,6,7}:{(24,1),(43,1),(47,1),(89,1)}
        36:{3,5,6,7}:{(25,1),(48,1),(69,1)}
        37:{1,4,6,7}:{(26,1),(48,1),(49,1)}
        38:{1,3,5,7}:{(27,1),(45,1),(49,1),(50,1),(69,1)}
        39:{1,3,4,6}:{(28,1),(46,1),(50,1),(88,1)}
        40:{1,3,4,5,7}:{(31,1),(51,1),(52,1),(60,1),(80,1),(94,1)}
        41:{2,3,4,6,7}:{(29,1),(33,1),(53,1),(54,1),(56,1),(77,1)}
        42:{2,3,5,7}:{(29,1),(30,1),(34,1),(54,1)}
        43:{1,2,4,6,7}:{(31,1),(35,1),(52,1),(55,1),(59,1)}
        44:{1,2,4,6,7}:{(32,1),(37,1),(56,1),(57,1),(59,1),(77,1),(97,1)}
        45:{1,2,5,7}:{(33,1),(38,1),(53,1),(58,1)}
        46:{1,2,4,6}:{(34,1),(39,1),(54,1),(58,1),(77,1)}
        47:{2,3,5,6,7}:{(35,1),(36,1),(55,1),(59,1),(79,1)}
        48:{3,4,6,7}:{(36,1),(37,1),(59,1),(60,1)}
        49:{1,4,5,7}:{(37,1),(38,1),(60,1),(61,1)}
        50:{1,3,5,6}:{(38,1),(39,1),(58,1),(61,1),(81,1)}
        51:{1,3,4,5,6}:{(40,1),(62,1),(72,1),(91,1),(99,1)}
        52:{1,2,4,5,7}:{(40,1),(43,1),(62,1),(63,1),(71,1),(85,1),(89,1)}
        53:{2,3,5,7}:{(41,1),(45,1),(64,1),(65,1),(69,1)}
        54:{2,3,6}:{(42,1),(46,1)}
        55:{2,3,6,7}:{(43,1),(63,1)}
        56:{3,4,6,7}:{(44,1),(69,1),(88,1)}
        57:{1,2,4,5,7}:{(44,1),(45,1),(49,1),(64,1),(69,1),(70,1),(71,1),(87,1),(89,1)}
        58:{1,2,5,6}:{(45,1),(46,1),(50,1),(65,1)}
        59:{2,4,6,7}:{(47,1),(48,1),(71,1)}
        60:{3,4,5,7}:{(48,1),(49,1),(69,1),(71,1),(72,1)}
        61:{1,4,5,6}:{(49,1),(50,1),(72,1)}
        62:{1,2,4,5,6}:{(51,1),(52,1),(73,1),(82,1),(92,1),(98,1)}
        63:{2,3,5,7}:{(52,1),(55,1),(73,1),(75,1)}
        64:{2,4,5,7}:{(53,1),(76,1),(77,1)}
        65:{2,3,5,6}:{(53,1),(54,1),(58,1),(77,1),(81,1)}
        66:{1,2,3,6,7}:{(55,1),(74,1),(78,1),(104,1)}
        67:{2,3,4,6,7}:{(55,1),(56,1),(59,1),(75,1),(78,1),(79,1),(96,1)}
        68:{1,3,4,6,7}:{(56,1),(78,1),(80,1),(94,1),(97,1),(104,1)}
        69:{3,5,7}:{(56,1),(57,1),(81,1)}
        70:{1,2,4,5,6}:{(57,1),(58,1),(61,1),(77,1),(81,1),(82,1),(97,1),(98,1)}
        71:{2,4,5,7}:{(59,1),(60,1),(79,1),(82,1)}
        72:{3,4,5,6}:{(60,1),(61,1),(81,1),(82,1)}
        73:{2,3,5,6}:{(62,1),(63,1),(84,1)}
        74:{1,2,3,5,7}:{(63,1),(66,1),(83,1),(85,1),(89,1),(101,1)}
        75:{2,3,4,7}:{(63,1),(84,1),(85,1)}
        76:{3,4,5,7}:{(64,1),(69,1),(87,1),(88,1)}
        77:{2,4,6}:{(64,1),(65,1),(88,1)}
        78:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(85,1),(89,1),(102,1)}
        79:{2,3,5,7}:{(67,1),(69,1),(71,1),(89,1),(90,1)}
        80:{1,3,5,7}:{(68,1),(69,1),(87,1),(89,1),(91,1)}
        81:{3,5,6}:{(69,1),(70,1),(88,1)}
        82:{2,4,5,6}:{(71,1),(72,1),(90,1)}
        83:{1,2,3,5,6}:{(73,1),(74,1),(92,1),(98,1),(103,1),(104,1)}
        84:{2,3,4,6}:{(73,1),(75,1),(92,1),(93,1)}
        85:{1,2,4,7}:{(74,1),(75,1),(92,1),(94,1)}
        86:{2,3,4,5,7}:{(75,1),(76,1),(79,1),(93,1),(95,1),(96,1)}
        87:{1,4,5,7}:{(76,1),(80,1),(97,1)}
        88:{3,4,6}:{(76,1),(77,1),(81,1),(97,1)}
        89:{1,2,5,7}:{(78,1),(79,1),(80,1),(98,1)}
        90:{2,3,5,6}:{(79,1),(81,1),(82,1),(96,1),(98,1)}
        91:{1,3,5,6}:{(80,1),(81,1),(97,1),(98,1),(104,1)}
        92:{1,2,4,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        93:{2,3,4,5}:{(84,1),(100,1)}
        94:{1,3,4,7}:{(85,1),(99,1),(101,1)}
        95:{1,2,4,5,7}:{(85,1),(86,1),(87,1),(89,1),(100,1),(101,1),(102,1)}
        96:{2,3,4,6}:{(86,1),(88,1),(90,1),(102,1)}
        97:{1,4,6}:{(87,1),(88,1),(91,1)}
        98:{1,2,5,6}:{(89,1),(90,1),(91,1),(102,1)}
        99:{1,3,4,6}:{(92,1),(94,1),(103,1),(104,1)}
       100:{1,2,4,5}:{(92,1),(93,1),(103,1)}
       101:{1,3,5,7}:{(94,1),(95,1),(103,1),(104,1)}
       102:{1,2,4,6}:{(95,1),(96,1),(97,1),(98,1),(104,1)}
       103:{1,3,5}:{(99,1),(100,1)}
       104:{1,3,6}:{(101,1),(102,1)}

2045 :   0:{1,2,3,5,6,7}:{(2,1),(12,1),(18,1),(46,1),(47,1),(48,1),(49,1),(56,1),(58,1),(102,1),(103,1),(107,1),(138,1),(147,1),(165,1)}
         1:{1,2,4,5,6,7}:{(3,1),(11,1),(16,1),(17,1),(18,1),(55,1)}
         2:{1,2,4,6,7}:{(0,1),(4,1),(5,1),(69,1),(70,1),(84,1),(128,1),(131,1),(156,1),(172,1)}
         3:{3,5,6,7}:{(1,1),(6,1),(26,1),(82,1)}
         4:{1,2,4,5,7}:{(2,1),(11,1),(12,1),(43,1),(44,1),(48,1),(149,1)}
         5:{3,4,6,7}:{(2,1),(12,1),(42,1),(56,1),(109,1),(147,1),(148,1),(167,1)}
         6:{3,4,6,7}:{(3,1),(15,1),(16,1),(17,1),(42,1),(56,1),(109,1)}
         7:{1,3,5,6,7}:{(3,1),(16,1),(18,1),(46,1),(51,1),(56,1),(58,1)}
         8:{2,3,5,6,7}:{(3,1),(17,1),(18,1),(19,1),(47,1),(56,1),(107,1)}
         9:{2,3,4,6,7}:{(17,1),(19,1),(20,1),(21,1),(56,1),(109,1)}
        10:{2,3,4,5,7}:{(19,1),(21,1),(22,1),(44,1),(93,1),(101,1),(109,1),(140,1),(151,1)}
        11:{1,2,4,5,6}:{(4,1),(26,1),(69,1),(70,1),(74,1)}
        12:{3,5,7}:{(4,1),(5,1),(26,1),(163,1)}
        13:{1,3,4,6,7}:{(5,1),(27,1),(29,1),(37,1),(69,1),(84,1),(85,1),(126,1),(127,1),(160,1),(161,1),(172,1)}
        14:{2,3,4,6,7}:{(5,1),(28,1),(29,1),(70,1),(80,1),(118,1),(119,1),(126,1),(127,1),(131,1),(156,1),(162,1)}
        15:{3,4,5,7}:{(6,1),(31,1),(32,1),(33,1),(82,1)}
        16:{1,4,6,7}:{(6,1),(7,1),(32,1),(69,1),(84,1)}
        17:{2,4,6,7}:{(6,1),(8,1),(33,1),(70,1),(131,1)}
        18:{1,2,5,6,7}:{(7,1),(8,1),(34,1),(36,1),(74,1),(79,1)}
        19:{2,3,5,7}:{(9,1),(33,1),(35,1),(36,1),(82,1)}
        20:{1,2,4,6,7}:{(9,1),(36,1),(37,1),(38,1),(84,1)}
        21:{2,3,4,6}:{(10,1),(35,1),(38,1),(70,1),(126,1),(132,1)}
        22:{1,2,4,5,7}:{(10,1),(36,1),(38,1),(39,1),(77,1),(84,1),(129,1),(133,1)}
        23:{1,3,4,5,7}:{(40,1),(41,1),(43,1),(60,1),(89,1),(101,1),(111,1),(167,1),(168,1)}
        24:{3,4,5,7}:{(12,1),(42,1),(43,1),(44,1),(101,1),(109,1),(151,1),(167,1),(168,1)}
        25:{1,2,4,5,6,7}:{(11,1),(45,1),(98,1),(99,1),(102,1),(136,1)}
        26:{3,5,6}:{(11,1),(12,1),(42,1)}
        27:{1,3,5,7}:{(12,1),(13,1),(43,1),(46,1),(48,1),(101,1),(111,1),(170,1)}
        28:{2,3,5,7}:{(12,1),(14,1),(44,1),(47,1),(48,1),(101,1),(140,1),(171,1)}
        29:{1,2,4,6,7}:{(13,1),(14,1),(48,1),(49,1),(100,1),(104,1),(105,1),(169,1)}
        30:{1,3,4,6,7}:{(16,1),(51,1),(52,1),(56,1),(96,1),(109,1)}
        31:{3,4,5,6}:{(15,1),(42,1),(53,1),(54,1),(108,1),(168,1)}
        32:{1,4,5,7}:{(15,1),(16,1),(51,1),(53,1)}
        33:{2,4,5,7}:{(15,1),(17,1),(19,1),(54,1)}
        34:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(55,1),(56,1),(100,1)}
        35:{2,3,5,6}:{(19,1),(21,1),(54,1),(57,1),(108,1),(140,1)}
        36:{1,2,5,7}:{(19,1),(20,1),(57,1),(58,1)}
        37:{1,3,6,7}:{(20,1),(56,1),(58,1),(59,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(57,1),(59,1),(110,1)}
        39:{1,3,5,7}:{(22,1),(59,1),(60,1),(101,1),(111,1)}
        40:{1,3,4,6}:{(23,1),(62,1),(64,1),(69,1),(126,1),(155,1)}
        41:{1,2,4,5,7}:{(23,1),(64,1),(65,1),(77,1),(116,1),(129,1),(156,1),(157,1)}
        42:{3,4,6}:{(24,1),(26,1),(69,1),(70,1),(126,1)}
        43:{1,4,5,7}:{(24,1),(27,1),(69,1),(84,1),(133,1),(172,1),(173,1)}
        44:{2,4,5,7}:{(24,1),(28,1),(70,1),(131,1),(156,1),(157,1),(164,1)}
        45:{3,5,6,7}:{(25,1),(26,1),(68,1),(154,1)}
        46:{1,3,5,6}:{(26,1),(27,1),(69,1),(74,1),(126,1)}
        47:{2,3,5,6}:{(26,1),(28,1),(70,1),(74,1),(126,1)}
        48:{1,2,5,7}:{(27,1),(28,1),(29,1),(74,1),(129,1),(174,1)}
        49:{1,2,3,6,7}:{(29,1),(37,1),(75,1),(76,1),(80,1),(118,1),(126,1),(158,1),(160,1)}
        50:{1,2,3,5,7}:{(39,1),(65,1),(76,1),(77,1),(129,1)}
        51:{1,3,5,7}:{(30,1),(32,1),(78,1),(79,1),(82,1)}
        52:{1,2,4,6,7}:{(30,1),(79,1),(80,1),(123,1),(131,1)}
        53:{1,4,5,6}:{(31,1),(32,1),(69,1),(78,1),(173,1)}
        54:{2,4,5,6}:{(31,1),(33,1),(35,1),(70,1),(157,1)}
        55:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(36,1),(79,1),(81,1),(82,1),(84,1),(131,1)}
        56:{3,6,7}:{(34,1),(82,1),(126,1)}
        57:{1,2,5,6}:{(35,1),(36,1),(38,1),(83,1),(129,1)}
        58:{1,3,5,7}:{(36,1),(37,1),(82,1),(83,1),(84,1)}
        59:{1,3,6}:{(38,1),(39,1),(126,1)}
        60:{1,3,4,7}:{(39,1),(77,1),(84,1),(85,1),(127,1)}
        61:{3,4,5,6}:{(42,1),(86,1),(87,1),(88,1),(137,1),(151,1)}
        62:{1,3,5,6}:{(40,1),(87,1),(89,1),(90,1),(111,1),(137,1)}
        63:{1,3,4,6,7}:{(40,1),(89,1),(91,1),(98,1),(147,1),(167,1)}
        64:{1,2,4,6}:{(40,1),(41,1),(90,1),(92,1),(139,1)}
        65:{2,3,5,7}:{(41,1),(92,1),(93,1),(101,1),(140,1)}
        66:{2,3,4,5,7}:{(44,1),(94,1),(95,1),(101,1),(134,1),(146,1),(167,1),(168,1),(171,1)}
        67:{1,3,4,5,7}:{(43,1),(51,1),(96,1),(97,1),(101,1),(109,1),(144,1),(151,1),(170,1)}
        68:{3,4,6,7}:{(42,1),(45,1),(86,1),(98,1),(99,1),(147,1),(167,1)}
        69:{1,4,6}:{(42,1),(43,1),(46,1)}
        70:{2,4,6}:{(42,1),(44,1),(47,1)}
        71:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(100,1),(101,1),(104,1),(149,1)}
        72:{1,3,5,6,7}:{(45,1),(46,1),(89,1),(98,1),(102,1),(147,1),(165,1)}
        73:{2,3,5,6,7}:{(45,1),(47,1),(99,1),(102,1),(134,1),(138,1),(147,1)}
        74:{1,2,5,6}:{(46,1),(47,1),(48,1),(100,1)}
        75:{1,2,3,5,7}:{(48,1),(49,1),(58,1),(101,1),(103,1),(104,1),(107,1),(138,1),(165,1)}
        76:{1,2,3,6}:{(50,1),(59,1),(92,1),(105,1)}
        77:{1,2,4,7}:{(50,1),(60,1),(93,1),(105,1)}
        78:{1,3,5,6}:{(51,1),(53,1),(96,1),(106,1),(108,1),(170,1)}
        79:{1,2,5,7}:{(51,1),(52,1),(106,1),(107,1)}
        80:{2,3,6,7}:{(52,1),(56,1),(107,1),(145,1)}
        81:{1,2,4,5,6}:{(53,1),(54,1),(55,1),(57,1),(100,1),(106,1),(108,1),(110,1),(149,1),(150,1)}
        82:{3,5,7}:{(55,1),(56,1),(108,1),(109,1)}
        83:{1,3,5,6}:{(57,1),(58,1),(59,1),(108,1),(110,1),(111,1)}
        84:{1,4,7}:{(58,1),(109,1),(110,1)}
        85:{1,3,4,6}:{(59,1),(60,1),(105,1),(110,1),(111,1),(148,1)}
        86:{3,4,5,7}:{(61,1),(68,1),(113,1),(114,1),(154,1)}
        87:{1,4,5,6}:{(61,1),(62,1),(69,1),(113,1),(133,1)}
        88:{2,4,5,6}:{(61,1),(70,1),(112,1),(114,1),(164,1)}
        89:{1,3,5,7}:{(62,1),(63,1),(113,1),(116,1),(154,1)}
        90:{1,2,5,6}:{(62,1),(64,1),(116,1),(117,1),(129,1)}
        91:{1,2,4,6,7}:{(63,1),(64,1),(116,1),(118,1),(156,1)}
        92:{2,3,6}:{(64,1),(65,1),(126,1)}
        93:{2,3,4,7}:{(65,1),(77,1),(119,1),(127,1),(156,1)}
        94:{2,3,4,6}:{(66,1),(70,1),(112,1),(121,1),(126,1),(155,1)}
        95:{1,2,4,5,7}:{(66,1),(121,1),(122,1),(152,1),(159,1),(172,1),(173,1),(174,1)}
        96:{1,3,4,6}:{(67,1),(69,1),(78,1),(123,1),(126,1),(132,1)}
        97:{1,2,4,5,7}:{(67,1),(79,1),(123,1),(124,1),(131,1),(159,1),(164,1),(174,1)}
        98:{1,4,6,7}:{(68,1),(69,1),(72,1),(113,1),(172,1)}
        99:{2,4,6,7}:{(68,1),(70,1),(73,1),(114,1),(156,1)}
       100:{1,2,4,6}:{(69,1),(70,1),(71,1),(74,1),(126,1)}
       101:{3,5,7}:{(71,1),(126,1),(127,1),(163,1)}
       102:{1,2,5,6,7}:{(72,1),(73,1),(74,1),(116,1),(125,1),(152,1)}
       103:{1,2,3,5,6}:{(74,1),(75,1),(76,1),(83,1),(117,1),(126,1),(128,1),(129,1),(130,1),(153,1),(158,1),(163,1),(174,1)}
       104:{1,2,4,7}:{(75,1),(84,1),(127,1),(128,1),(131,1),(156,1),(172,1)}
       105:{1,2,4,6}:{(76,1),(77,1),(85,1),(119,1),(129,1)}
       106:{1,2,5,6}:{(78,1),(79,1),(123,1),(130,1),(174,1)}
       107:{2,3,5,7}:{(79,1),(80,1),(82,1),(130,1),(131,1)}
       108:{3,5,6}:{(81,1),(82,1),(126,1),(132,1),(163,1)}
       109:{3,4,7}:{(82,1),(84,1),(131,1),(132,1)}
       110:{1,4,6}:{(83,1),(84,1),(132,1),(133,1)}
       111:{1,3,5}:{(85,1),(129,1),(133,1),(163,1)}
       112:{2,3,5,6}:{(88,1),(94,1),(134,1),(135,1),(137,1),(171,1)}
       113:{1,4,5,7}:{(86,1),(87,1),(89,1),(98,1)}
       114:{2,4,5,7}:{(86,1),(88,1),(99,1),(134,1)}
       115:{1,2,4,5,6}:{(87,1),(88,1),(90,1),(100,1),(135,1),(136,1),(137,1),(139,1),(149,1),(166,1)}
       116:{1,2,5,7}:{(89,1),(90,1),(91,1),(138,1)}
       117:{2,3,5,6}:{(90,1),(92,1),(137,1),(138,1),(139,1),(140,1)}
       118:{2,3,6,7}:{(91,1),(92,1),(138,1),(147,1)}
       119:{2,3,4,6}:{(92,1),(93,1),(105,1),(139,1),(140,1),(148,1)}
       120:{2,3,4,6,7}:{(94,1),(99,1),(134,1),(142,1),(147,1),(167,1)}
       121:{1,2,4,6}:{(94,1),(95,1),(135,1),(143,1),(166,1)}
       122:{1,3,5,7}:{(95,1),(101,1),(143,1),(144,1),(170,1)}
       123:{1,2,4,6}:{(96,1),(97,1),(106,1),(145,1),(150,1)}
       124:{2,3,5,7}:{(97,1),(101,1),(145,1),(146,1),(171,1)}
       125:{1,2,4,6,7}:{(98,1),(99,1),(100,1),(102,1),(136,1),(147,1)}
       126:{3,6}:{(100,1),(101,1)}
       127:{3,4,7}:{(101,1),(104,1),(148,1)}
       128:{1,2,4,6}:{(103,1),(104,1),(110,1),(139,1),(148,1),(149,1),(150,1),(166,1)}
       129:{1,2,5}:{(105,1),(111,1),(140,1)}
       130:{2,3,5,6}:{(106,1),(107,1),(108,1),(145,1),(150,1),(171,1)}
       131:{2,4,7}:{(107,1),(109,1),(150,1)}
       132:{3,4,6}:{(108,1),(109,1),(110,1),(150,1),(151,1)}
       133:{1,4,5}:{(110,1),(111,1),(151,1)}
       134:{2,3,5,7}:{(112,1),(114,1),(120,1),(152,1),(154,1)}
       135:{1,2,5,6}:{(112,1),(121,1),(152,1),(153,1),(174,1)}
       136:{1,2,4,5,7}:{(113,1),(114,1),(115,1),(116,1),(125,1),(152,1),(154,1),(156,1),(172,1)}
       137:{3,5,6}:{(115,1),(126,1),(154,1),(155,1),(163,1)}
       138:{2,3,5,7}:{(116,1),(117,1),(118,1),(154,1),(156,1)}
       139:{2,4,6}:{(117,1),(155,1),(156,1),(157,1)}
       140:{2,3,5}:{(119,1),(129,1),(157,1),(163,1)}
       141:{1,2,3,5,7}:{(122,1),(124,1),(158,1),(159,1),(174,1)}
       142:{1,2,4,6,7}:{(120,1),(121,1),(152,1),(160,1),(172,1)}
       143:{1,3,6}:{(121,1),(122,1),(126,1)}
       144:{1,3,4,7}:{(122,1),(127,1),(159,1),(161,1),(172,1)}
       145:{2,3,6}:{(123,1),(124,1),(126,1)}
       146:{2,3,4,7}:{(124,1),(127,1),(131,1),(159,1),(162,1)}
       147:{3,6,7}:{(125,1),(126,1),(154,1)}
       148:{3,4,6}:{(126,1),(127,1),(128,1),(163,1)}
       149:{1,2,4,5}:{(128,1),(129,1),(133,1),(157,1),(163,1),(164,1),(173,1),(174,1)}
       150:{2,4,6}:{(130,1),(131,1),(132,1),(164,1)}
       151:{3,4,5}:{(132,1),(133,1),(163,1),(164,1)}
       152:{1,2,5,7}:{(134,1),(135,1),(142,1),(165,1)}
       153:{1,3,5,6}:{(135,1),(137,1),(143,1),(165,1),(166,1),(170,1)}
       154:{3,5,7}:{(136,1),(137,1),(147,1),(167,1)}
       155:{3,4,6}:{(137,1),(139,1),(166,1),(167,1),(168,1)}
       156:{2,4,7}:{(138,1),(139,1),(167,1)}
       157:{2,4,5}:{(139,1),(140,1),(168,1)}
       158:{1,2,3,6}:{(141,1),(143,1),(145,1),(169,1)}
       159:{1,2,4,7}:{(141,1),(144,1),(146,1),(169,1)}
       160:{1,3,6,7}:{(142,1),(143,1),(147,1),(165,1)}
       161:{1,3,4,6}:{(143,1),(144,1),(148,1),(166,1),(169,1),(170,1)}
       162:{2,3,4,6}:{(145,1),(146,1),(148,1),(150,1),(169,1),(171,1)}
       163:{3,5}:{(148,1),(149,1)}
       164:{2,4,5}:{(150,1),(151,1),(171,1)}
       165:{1,3,5,7}:{(152,1),(153,1),(154,1),(160,1),(172,1)}
       166:{1,4,6}:{(153,1),(155,1),(172,1),(173,1)}
       167:{3,4,7}:{(154,1),(155,1),(156,1),(172,1)}
       168:{3,4,5}:{(155,1),(157,1),(163,1),(173,1)}
       169:{1,2,4,6}:{(158,1),(159,1),(161,1),(162,1),(174,1)}
       170:{1,3,5}:{(161,1),(163,1),(173,1),(174,1)}
       171:{2,3,5}:{(162,1),(163,1),(164,1),(174,1)}
       172:{1,4,7}:{(165,1),(166,1),(167,1)}
       173:{1,4,5}:{(166,1),(168,1),(170,1)}
       174:{1,2,5}:{(169,1),(170,1),(171,1)}

2046 :   0:{2,3,4,5,6}:{(1,1),(2,1),(18,1),(57,1),(63,1)}
         1:{1,2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(49,1),(52,1)}
         2:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(28,1),(48,1),(53,1)}
         3:{1,3,5,6}:{(1,1),(7,1),(8,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(8,1),(9,1),(20,1),(40,1),(43,1)}
         5:{2,3,4,6,7}:{(2,1),(9,1),(10,1),(44,1)}
         6:{1,2,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(47,1),(49,1)}
         7:{1,3,4,6}:{(3,1),(11,1),(13,1),(14,1)}
         8:{1,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
         9:{1,2,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(34,1)}
        10:{2,3,5,6,7}:{(5,1),(16,1),(17,1),(35,1),(48,1)}
        11:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
        12:{1,2,3,5,7}:{(6,1),(8,1),(20,1),(21,1),(37,1),(40,1)}
        13:{1,3,4,5}:{(7,1),(19,1)}
        14:{1,3,4,7}:{(7,1),(8,1),(20,1)}
        15:{1,3,6,7}:{(8,1),(9,1)}
        16:{1,2,5,6,7}:{(9,1),(10,1),(24,1),(40,1)}
        17:{2,4,5,6,7}:{(10,1),(26,1),(58,1)}
        18:{2,3,4,6}:{(11,1),(27,1),(28,1),(47,1)}
        19:{1,2,4,5}:{(11,1),(13,1),(27,1)}
        20:{1,2,4,7}:{(11,1),(12,1),(14,1),(28,1)}
        21:{1,2,3,6,7}:{(12,1),(15,1),(30,1),(47,1)}
        22:{1,3,4,5,7}:{(13,1),(14,1),(29,1),(32,1),(33,1),(68,1)}
        23:{1,3,4,6,7}:{(14,1),(15,1),(30,1),(32,1),(33,1),(34,1),(51,1)}
        24:{1,3,5,6,7}:{(15,1),(16,1),(33,1),(34,1),(35,1)}
        25:{1,2,4,5,6,7}:{(16,1),(17,1),(34,1),(35,1),(36,1),(50,1),(55,1),(56,1)}
        26:{3,4,5,6,7}:{(17,1),(35,1),(36,1),(68,1)}
        27:{2,3,5}:{(18,1),(19,1)}
        28:{2,3,4,7}:{(18,1),(20,1),(37,1)}
        29:{1,2,4,5,7}:{(19,1),(20,1),(22,1),(37,1),(39,1),(40,1),(58,1)}
        30:{1,2,4,6,7}:{(20,1),(21,1),(23,1),(38,1),(39,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(24,1),(40,1),(41,1),(46,1),(57,1),(60,1),(80,1),(82,1),(83,1)}
        32:{1,3,4,6}:{(22,1),(39,1),(42,1),(77,1)}
        33:{1,3,5,7}:{(23,1),(40,1),(42,1),(43,1),(60,1)}
        34:{1,4,6,7}:{(24,1),(43,1),(44,1)}
        35:{3,5,6,7}:{(25,1),(44,1),(60,1)}
        36:{1,4,5,6,7}:{(26,1),(45,1),(78,1)}
        37:{2,3,5,7}:{(27,1),(28,1),(29,1),(47,1)}
        38:{2,3,4,6,7}:{(28,1),(30,1),(47,1),(48,1),(51,1),(67,1)}
        39:{1,2,4,6}:{(29,1),(32,1),(47,1),(49,1),(67,1)}
        40:{1,2,5,7}:{(30,1),(33,1),(48,1),(49,1)}
        41:{1,2,4,6,7}:{(31,1),(34,1),(50,1),(51,1),(55,1),(67,1),(86,1)}
        42:{1,3,5,6}:{(32,1),(33,1),(49,1),(52,1),(69,1)}
        43:{1,4,5,7}:{(33,1),(34,1),(52,1),(53,1)}
        44:{3,4,6,7}:{(34,1),(35,1),(53,1),(55,1)}
        45:{1,3,5,6,7}:{(35,1),(36,1),(54,1),(56,1),(70,1)}
        46:{2,3,5,6,7}:{(35,1),(55,1),(56,1),(71,1),(76,1)}
        47:{2,3,6}:{(37,1),(39,1)}
        48:{2,3,5,7}:{(38,1),(40,1),(57,1),(58,1),(60,1)}
        49:{1,2,5,6}:{(39,1),(40,1),(42,1),(57,1)}
        50:{1,2,4,5,7}:{(40,1),(41,1),(43,1),(58,1),(59,1),(60,1),(65,1),(78,1),(82,1)}
        51:{3,4,6,7}:{(41,1),(60,1),(77,1)}
        52:{1,4,5,6}:{(42,1),(43,1),(63,1)}
        53:{3,4,5,7}:{(43,1),(44,1),(60,1),(63,1),(65,1)}
        54:{1,3,4,6,7}:{(44,1),(45,1),(64,1),(66,1)}
        55:{2,4,6,7}:{(44,1),(46,1),(65,1)}
        56:{1,2,5,6,7}:{(45,1),(46,1),(66,1),(82,1)}
        57:{2,3,5,6}:{(47,1),(48,1),(49,1),(67,1),(69,1)}
        58:{2,4,5,7}:{(48,1),(67,1),(68,1)}
        59:{1,2,4,5,6}:{(49,1),(50,1),(52,1),(67,1),(69,1),(74,1),(86,1),(89,1)}
        60:{3,5,7}:{(50,1),(51,1),(69,1)}
        61:{1,3,4,6,7}:{(51,1),(70,1),(72,1),(86,1),(98,1),(99,1)}
        62:{2,3,4,6,7}:{(51,1),(55,1),(71,1),(72,1),(76,1),(87,1),(92,1)}
        63:{3,4,5,6}:{(52,1),(53,1),(69,1),(74,1)}
        64:{1,3,4,5,7}:{(53,1),(54,1),(70,1),(73,1),(75,1),(99,1)}
        65:{2,4,5,7}:{(53,1),(55,1),(71,1),(74,1)}
        66:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(75,1),(76,1)}
        67:{2,4,6}:{(57,1),(58,1),(77,1)}
        68:{3,4,5,7}:{(58,1),(60,1),(77,1),(78,1)}
        69:{3,5,6}:{(59,1),(60,1),(77,1)}
        70:{1,3,5,7}:{(60,1),(61,1),(78,1),(80,1),(82,1)}
        71:{2,3,5,7}:{(60,1),(62,1),(65,1),(81,1),(82,1)}
        72:{1,2,4,6,7}:{(61,1),(62,1),(82,1),(83,1),(93,1),(96,1)}
        73:{1,3,4,5,6}:{(63,1),(64,1),(80,1),(84,1),(102,1)}
        74:{2,4,5,6}:{(63,1),(65,1),(81,1)}
        75:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(82,1),(84,1),(85,1),(96,1)}
        76:{2,3,6,7}:{(66,1),(85,1)}
        77:{3,4,6}:{(67,1),(68,1),(69,1),(86,1)}
        78:{1,4,5,7}:{(68,1),(70,1),(86,1)}
        79:{2,3,4,5,7}:{(68,1),(71,1),(87,1),(88,1),(92,1),(101,1)}
        80:{1,3,5,6}:{(69,1),(70,1),(86,1),(89,1),(98,1)}
        81:{2,3,5,6}:{(69,1),(71,1),(74,1),(87,1),(89,1)}
        82:{1,2,5,7}:{(70,1),(71,1),(72,1),(89,1)}
        83:{1,2,3,6,7}:{(72,1),(76,1),(90,1),(98,1)}
        84:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(89,1),(91,1),(100,1)}
        85:{2,3,5,7}:{(75,1),(76,1),(91,1),(92,1)}
        86:{1,4,6}:{(77,1),(78,1),(80,1)}
        87:{2,3,4,6}:{(77,1),(79,1),(81,1),(93,1)}
        88:{1,2,4,5,7}:{(78,1),(79,1),(82,1),(93,1),(94,1),(96,1),(103,1)}
        89:{1,2,5,6}:{(80,1),(81,1),(82,1),(93,1)}
        90:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(94,1),(95,1),(96,1)}
        91:{2,3,5,6}:{(84,1),(85,1),(97,1)}
        92:{2,3,4,7}:{(85,1),(96,1),(97,1)}
        93:{1,2,4,6}:{(86,1),(87,1),(88,1),(89,1),(98,1)}
        94:{1,3,5,7}:{(88,1),(98,1),(99,1),(104,1)}
        95:{1,2,3,5,6}:{(89,1),(90,1),(91,1),(98,1),(100,1),(104,1)}
        96:{1,2,4,7}:{(90,1),(92,1),(99,1),(100,1)}
        97:{2,3,4,6}:{(91,1),(92,1),(100,1),(101,1)}
        98:{1,3,6}:{(93,1),(94,1)}
        99:{1,3,4,7}:{(94,1),(96,1),(102,1)}
       100:{1,2,4,6}:{(95,1),(96,1),(97,1),(102,1),(103,1)}
       101:{2,3,4,5}:{(97,1),(103,1)}
       102:{1,3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       103:{1,2,4,5}:{(100,1),(101,1),(104,1)}
       104:{1,3,5}:{(102,1),(103,1)}

2047 :   0:{2,3,4,5,7}:{(7,1),(8,1),(10,1),(38,1),(80,1),(94,1),(95,1),(103,1),(139,1),(154,1)}
         1:{2,3,4,6,7}:{(8,1),(9,1),(10,1),(13,1),(48,1),(49,1),(103,1)}
         2:{1,3,5,6,7}:{(11,1),(12,1),(33,1),(44,1),(46,1),(48,1)}
         3:{2,3,5,6,7}:{(10,1),(11,1),(13,1),(14,1),(34,1),(48,1)}
         4:{2,4,5,6,7}:{(13,1),(14,1),(84,1)}
         5:{1,3,4,6,7}:{(16,1),(17,1),(22,1),(27,1),(60,1),(67,1),(72,1),(121,1),(124,1)}
         6:{2,3,4,6,7}:{(16,1),(18,1),(61,1),(107,1),(111,1),(118,1),(121,1),(124,1),(159,1)}
         7:{1,2,4,5,7}:{(0,1),(19,1),(20,1),(23,1),(57,1),(72,1),(119,1),(128,1)}
         8:{2,3,4,6}:{(0,1),(20,1),(21,1),(61,1),(121,1),(122,1),(129,1)}
         9:{1,2,4,6,7}:{(1,1),(20,1),(22,1),(23,1),(72,1)}
        10:{2,3,5,7}:{(1,1),(21,1),(23,1),(25,1),(73,1),(74,1)}
        11:{1,2,5,6,7}:{(2,1),(3,1),(23,1),(26,1),(29,1),(59,1),(74,1)}
        12:{1,4,6,7}:{(2,1),(24,1),(27,1),(60,1),(72,1)}
        13:{2,4,6,7}:{(3,1),(25,1),(28,1),(61,1)}
        14:{3,5,6,7}:{(4,1),(28,1),(29,1),(115,1)}
        15:{1,3,4,5,7}:{(30,1),(31,1),(37,1),(39,1),(79,1),(94,1),(96,1),(98,1),(178,1),(181,1)}
        16:{1,2,4,6,7}:{(5,1),(6,1),(35,1),(36,1),(49,1),(88,1),(90,1),(93,1),(146,1)}
        17:{1,3,5,7}:{(5,1),(33,1),(36,1),(37,1),(46,1),(94,1),(98,1)}
        18:{2,3,5,7}:{(6,1),(34,1),(36,1),(38,1),(94,1),(138,1),(139,1)}
        19:{1,3,5,7}:{(7,1),(39,1),(40,1),(94,1),(98,1)}
        20:{1,2,4,6}:{(7,1),(8,1),(40,1),(41,1),(99,1)}
        21:{2,3,5,6}:{(8,1),(10,1),(41,1),(43,1),(100,1),(101,1),(139,1)}
        22:{1,3,6,7}:{(9,1),(40,1),(44,1),(48,1)}
        23:{1,2,5,7}:{(9,1),(10,1),(41,1),(44,1)}
        24:{1,4,5,7}:{(12,1),(42,1),(46,1)}
        25:{2,4,5,7}:{(10,1),(13,1),(43,1),(47,1)}
        26:{1,2,4,6,7}:{(11,1),(12,1),(13,1),(45,1),(48,1),(49,1),(50,1),(90,1),(106,1)}
        27:{3,4,6,7}:{(12,1),(46,1),(48,1),(49,1),(91,1),(103,1)}
        28:{3,4,6,7}:{(13,1),(14,1),(47,1),(48,1),(50,1),(92,1)}
        29:{1,5,6,7}:{(14,1),(50,1),(143,1)}
        30:{1,2,4,5,7}:{(15,1),(52,1),(53,1),(57,1),(108,1),(119,1),(159,1),(163,1)}
        31:{1,3,4,6}:{(15,1),(53,1),(54,1),(60,1),(121,1),(123,1),(164,1)}
        32:{1,2,3,5,7}:{(19,1),(52,1),(57,1),(58,1),(119,1)}
        33:{1,3,5,6}:{(17,1),(59,1),(60,1),(70,1),(121,1)}
        34:{2,3,5,6}:{(18,1),(59,1),(61,1),(115,1),(121,1)}
        35:{1,2,3,6,7}:{(16,1),(22,1),(58,1),(62,1),(77,1),(107,1),(121,1),(167,1),(172,1)}
        36:{1,2,5,7}:{(16,1),(17,1),(18,1),(59,1),(74,1),(119,1),(162,1)}
        37:{1,4,5,7}:{(17,1),(60,1),(64,1),(72,1),(128,1)}
        38:{2,4,5,7}:{(18,1),(61,1),(65,1),(159,1),(163,1)}
        39:{1,3,4,7}:{(19,1),(57,1),(67,1),(72,1),(124,1)}
        40:{1,3,6}:{(19,1),(20,1),(121,1)}
        41:{1,2,5,6}:{(20,1),(21,1),(23,1),(68,1),(119,1)}
        42:{1,4,5,6}:{(24,1),(60,1),(70,1)}
        43:{2,4,5,6}:{(21,1),(25,1),(61,1),(71,1),(163,1)}
        44:{1,3,5,7}:{(22,1),(23,1),(68,1),(72,1),(73,1)}
        45:{1,2,4,5,7}:{(23,1),(24,1),(25,1),(26,1),(69,1),(72,1),(73,1),(74,1),(75,1),(133,1),(134,1)}
        46:{3,5,7}:{(24,1),(27,1),(70,1),(74,1)}
        47:{3,4,5,7}:{(25,1),(28,1),(71,1),(73,1),(75,1)}
        48:{3,6,7}:{(26,1),(73,1),(121,1)}
        49:{2,4,6,7}:{(27,1),(74,1),(77,1),(122,1),(133,1)}
        50:{1,4,6,7}:{(28,1),(29,1),(75,1),(76,1),(123,1)}
        51:{1,3,4,6,7}:{(31,1),(78,1),(79,1),(86,1),(144,1),(146,1),(178,1)}
        52:{2,3,5,7}:{(30,1),(80,1),(81,1),(94,1),(139,1)}
        53:{1,2,4,6}:{(30,1),(31,1),(81,1),(82,1),(140,1)}
        54:{1,3,5,6}:{(31,1),(79,1),(82,1),(83,1),(98,1),(141,1),(143,1)}
        55:{1,3,5,6,7}:{(33,1),(79,1),(85,1),(86,1),(97,1),(144,1)}
        56:{2,3,5,6,7}:{(34,1),(85,1),(87,1),(135,1),(138,1),(144,1)}
        57:{1,2,4,7}:{(32,1),(39,1),(80,1),(88,1)}
        58:{1,2,3,6}:{(32,1),(40,1),(81,1),(88,1)}
        59:{1,2,5,6}:{(33,1),(34,1),(36,1),(90,1),(101,1),(143,1)}
        60:{1,4,6}:{(33,1),(37,1),(91,1)}
        61:{2,4,6}:{(34,1),(38,1),(92,1)}
        62:{1,2,3,5,7}:{(35,1),(36,1),(44,1),(89,1),(93,1),(94,1),(105,1),(135,1),(153,1),(179,1),(189,1)}
        63:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(90,1),(93,1),(94,1),(95,1),(96,1),(147,1),(153,1)}
        64:{3,4,5,7}:{(37,1),(46,1),(91,1),(94,1),(95,1),(103,1),(154,1)}
        65:{3,4,5,7}:{(38,1),(92,1),(94,1),(96,1),(138,1),(178,1),(181,1)}
        66:{1,4,5,6,7}:{(42,1),(86,1),(97,1)}
        67:{1,3,4,6}:{(39,1),(40,1),(88,1),(98,1),(99,1),(148,1)}
        68:{1,3,5,6}:{(40,1),(41,1),(44,1),(98,1),(99,1),(100,1)}
        69:{1,2,4,5,6}:{(41,1),(42,1),(43,1),(45,1),(90,1),(99,1),(100,1),(101,1),(102,1),(147,1),(156,1),(157,1)}
        70:{3,5,6}:{(42,1),(46,1),(91,1),(101,1)}
        71:{3,4,5,6}:{(43,1),(47,1),(92,1),(100,1),(102,1),(181,1)}
        72:{1,4,7}:{(44,1),(99,1),(103,1)}
        73:{3,5,7}:{(45,1),(48,1),(100,1),(103,1)}
        74:{2,5,7}:{(46,1),(49,1),(101,1)}
        75:{1,4,5,7}:{(47,1),(50,1),(102,1),(104,1)}
        76:{1,3,6,7}:{(48,1),(50,1),(104,1),(106,1),(149,1)}
        77:{2,3,6,7}:{(48,1),(49,1),(105,1),(106,1),(150,1)}
        78:{1,2,4,6,7}:{(51,1),(53,1),(107,1),(108,1),(159,1)}
        79:{1,3,5,7}:{(51,1),(54,1),(108,1),(109,1),(160,1),(162,1)}
        80:{2,3,4,7}:{(52,1),(57,1),(111,1),(124,1),(159,1)}
        81:{2,3,6}:{(52,1),(53,1),(121,1)}
        82:{1,2,5,6}:{(53,1),(54,1),(108,1),(112,1),(119,1)}
        83:{1,4,5,6}:{(54,1),(60,1),(109,1),(114,1),(128,1)}
        84:{2,4,5,6}:{(61,1),(110,1),(115,1)}
        85:{1,2,5,6,7}:{(55,1),(56,1),(59,1),(108,1),(116,1),(127,1),(162,1)}
        86:{1,4,6,7}:{(55,1),(60,1),(109,1),(117,1)}
        87:{2,4,6,7}:{(56,1),(61,1),(110,1),(118,1),(159,1)}
        88:{1,2,4,6}:{(57,1),(58,1),(67,1),(111,1),(119,1)}
        89:{1,2,3,5,6}:{(58,1),(59,1),(62,1),(68,1),(112,1),(119,1),(120,1),(121,1),(131,1),(165,1),(169,1),(172,1),(198,1),(199,1)}
        90:{1,2,4,6}:{(59,1),(60,1),(61,1),(63,1),(121,1),(122,1),(123,1),(172,1)}
        91:{3,4,6}:{(60,1),(64,1),(70,1),(121,1),(122,1)}
        92:{3,4,6}:{(61,1),(65,1),(115,1),(121,1),(123,1)}
        93:{1,2,4,7}:{(62,1),(72,1),(120,1),(124,1),(133,1),(159,1),(192,1)}
        94:{3,5,7}:{(63,1),(121,1),(124,1),(169,1)}
        95:{2,4,5,7}:{(64,1),(74,1),(122,1),(126,1),(133,1),(175,1)}
        96:{1,4,5,7}:{(65,1),(123,1),(125,1),(162,1),(192,1),(195,1)}
        97:{3,5,6,7}:{(66,1),(70,1),(117,1),(127,1)}
        98:{1,3,5}:{(67,1),(119,1),(128,1),(169,1)}
        99:{1,4,6}:{(68,1),(72,1),(128,1),(129,1)}
       100:{3,5,6}:{(69,1),(73,1),(121,1),(129,1),(169,1)}
       101:{2,5,6}:{(70,1),(74,1),(122,1)}
       102:{1,4,5,6}:{(71,1),(75,1),(123,1),(130,1),(195,1)}
       103:{3,4,7}:{(72,1),(73,1),(129,1),(133,1)}
       104:{1,3,5,7}:{(73,1),(75,1),(76,1),(130,1),(132,1),(134,1)}
       105:{2,3,5,7}:{(73,1),(74,1),(77,1),(131,1),(133,1),(134,1),(177,1)}
       106:{1,2,6,7}:{(76,1),(77,1),(134,1),(172,1)}
       107:{2,3,6,7}:{(78,1),(81,1),(135,1),(144,1)}
       108:{1,2,5,7}:{(78,1),(79,1),(82,1),(135,1)}
       109:{1,4,5,7}:{(79,1),(83,1),(86,1),(137,1)}
       110:{2,4,5,7}:{(84,1),(87,1),(138,1)}
       111:{2,3,4,6}:{(80,1),(81,1),(88,1),(139,1),(140,1),(148,1)}
       112:{2,3,5,6}:{(81,1),(82,1),(135,1),(139,1),(140,1),(141,1)}
       113:{1,2,4,5,6}:{(82,1),(83,1),(84,1),(90,1),(136,1),(140,1),(141,1),(142,1),(143,1),(147,1),(182,1),(184,1)}
       114:{3,4,5,6}:{(83,1),(91,1),(137,1),(141,1),(142,1),(154,1)}
       115:{3,5,6}:{(84,1),(92,1),(138,1),(143,1)}
       116:{1,2,4,6,7}:{(85,1),(86,1),(87,1),(90,1),(136,1),(144,1),(145,1),(146,1),(185,1)}
       117:{3,4,6,7}:{(86,1),(91,1),(97,1),(137,1),(144,1),(145,1)}
       118:{3,4,6,7}:{(87,1),(92,1),(138,1),(144,1),(146,1),(178,1)}
       119:{1,2,5}:{(88,1),(98,1),(139,1)}
       120:{1,2,4,6}:{(89,1),(93,1),(99,1),(140,1),(147,1),(148,1),(156,1),(182,1)}
       121:{3,6}:{(90,1),(94,1)}
       122:{2,4,6}:{(91,1),(95,1),(101,1),(150,1)}
       123:{1,4,6}:{(92,1),(96,1),(143,1),(149,1)}
       124:{3,4,7}:{(93,1),(94,1),(148,1)}
       125:{1,3,5,7}:{(94,1),(96,1),(149,1),(151,1),(153,1),(186,1)}
       126:{2,3,5,7}:{(94,1),(95,1),(150,1),(152,1),(153,1),(187,1)}
       127:{2,5,6,7}:{(97,1),(101,1),(145,1)}
       128:{1,4,5}:{(98,1),(99,1),(154,1)}
       129:{3,4,6}:{(99,1),(100,1),(103,1),(154,1),(156,1)}
       130:{1,3,5,6}:{(100,1),(102,1),(104,1),(149,1),(155,1),(157,1),(186,1)}
       131:{2,3,5,6}:{(100,1),(101,1),(105,1),(150,1),(156,1),(157,1),(187,1),(191,1)}
       132:{1,3,4,7}:{(103,1),(104,1),(155,1),(158,1)}
       133:{2,4,7}:{(103,1),(105,1),(156,1)}
       134:{1,2,5,7}:{(104,1),(105,1),(106,1),(157,1),(158,1)}
       135:{2,3,5,7}:{(107,1),(108,1),(112,1),(159,1),(160,1)}
       136:{1,2,4,5,7}:{(108,1),(109,1),(110,1),(113,1),(116,1),(159,1),(160,1),(161,1),(162,1),(192,1),(194,1)}
       137:{3,4,5,7}:{(109,1),(114,1),(117,1),(160,1),(161,1)}
       138:{3,5,7}:{(110,1),(115,1),(118,1),(162,1)}
       139:{2,3,5}:{(111,1),(119,1),(163,1),(169,1)}
       140:{2,4,6}:{(112,1),(159,1),(163,1),(164,1)}
       141:{3,5,6}:{(113,1),(121,1),(160,1),(164,1),(169,1)}
       142:{2,4,5,6}:{(114,1),(122,1),(161,1),(166,1),(175,1)}
       143:{1,5,6}:{(115,1),(123,1),(162,1)}
       144:{3,6,7}:{(116,1),(121,1),(160,1)}
       145:{2,4,6,7}:{(117,1),(122,1),(127,1),(161,1),(168,1)}
       146:{1,4,6,7}:{(118,1),(123,1),(162,1),(167,1),(192,1)}
       147:{1,2,4,5}:{(119,1),(120,1),(128,1),(163,1),(169,1),(175,1),(195,1),(198,1)}
       148:{3,4,6}:{(120,1),(121,1),(124,1),(169,1)}
       149:{1,3,6}:{(121,1),(123,1),(125,1),(172,1)}
       150:{2,3,6}:{(121,1),(122,1),(126,1),(172,1)}
       151:{1,3,4,7}:{(124,1),(125,1),(170,1),(173,1),(192,1),(206,1)}
       152:{2,3,4,7}:{(124,1),(126,1),(133,1),(171,1),(173,1),(177,1)}
       153:{1,2,5,7}:{(125,1),(126,1),(172,1),(173,1),(198,1)}
       154:{3,4,5}:{(128,1),(129,1),(169,1),(175,1)}
       155:{1,3,4,6}:{(129,1),(130,1),(132,1),(174,1),(176,1)}
       156:{2,4,6}:{(129,1),(131,1),(133,1),(175,1)}
       157:{1,2,5,6}:{(130,1),(131,1),(134,1),(172,1),(176,1),(198,1)}
       158:{1,2,4,7}:{(132,1),(133,1),(134,1),(176,1),(177,1)}
       159:{2,4,7}:{(135,1),(140,1),(178,1)}
       160:{3,5,7}:{(136,1),(141,1),(144,1),(178,1)}
       161:{2,4,5,7}:{(137,1),(142,1),(145,1),(180,1)}
       162:{1,5,7}:{(138,1),(143,1),(146,1)}
       163:{2,4,5}:{(139,1),(140,1),(181,1)}
       164:{3,4,6}:{(140,1),(141,1),(178,1),(181,1),(182,1)}
       165:{1,3,5,6}:{(141,1),(143,1),(149,1),(179,1),(182,1),(184,1),(186,1),(203,1)}
       166:{2,3,5,6}:{(141,1),(142,1),(150,1),(180,1),(183,1),(184,1),(187,1)}
       167:{1,3,6,7}:{(144,1),(146,1),(149,1),(179,1),(185,1)}
       168:{2,3,6,7}:{(144,1),(145,1),(150,1),(180,1),(185,1)}
       169:{3,5}:{(147,1),(148,1)}
       170:{1,3,4,6}:{(148,1),(149,1),(151,1),(182,1),(186,1),(188,1),(203,1),(209,1)}
       171:{2,3,4,6}:{(148,1),(150,1),(152,1),(156,1),(187,1),(188,1),(191,1),(205,1)}
       172:{1,2,6}:{(149,1),(150,1),(153,1)}
       173:{1,2,4,7}:{(151,1),(152,1),(153,1),(188,1),(189,1)}
       174:{1,3,4,5}:{(154,1),(155,1),(186,1),(190,1),(209,1)}
       175:{2,4,5}:{(154,1),(156,1),(187,1)}
       176:{1,2,4,6}:{(155,1),(156,1),(157,1),(158,1),(190,1),(191,1)}
       177:{2,3,7}:{(158,1),(191,1)}
       178:{3,4,7}:{(159,1),(160,1),(164,1),(192,1)}
       179:{1,3,5,7}:{(160,1),(162,1),(165,1),(167,1),(192,1),(194,1),(206,1)}
       180:{2,3,5,7}:{(160,1),(161,1),(166,1),(168,1),(193,1),(194,1)}
       181:{3,4,5}:{(163,1),(164,1),(169,1),(195,1)}
       182:{1,4,6}:{(164,1),(165,1),(192,1),(195,1)}
       183:{2,3,4,6}:{(164,1),(166,1),(193,1),(196,1),(197,1)}
       184:{1,2,5,6}:{(165,1),(166,1),(172,1),(194,1),(197,1),(198,1)}
       185:{1,2,6,7}:{(167,1),(168,1),(172,1),(194,1)}
       186:{1,3,5}:{(169,1),(170,1),(195,1),(198,1)}
       187:{2,3,5}:{(169,1),(171,1),(175,1),(198,1)}
       188:{1,2,4,6}:{(170,1),(171,1),(172,1),(173,1),(198,1),(199,1),(208,1)}
       189:{1,2,3,7}:{(173,1),(177,1),(199,1),(206,1)}
       190:{1,2,4,5}:{(174,1),(175,1),(176,1),(198,1),(200,1),(208,1)}
       191:{2,3,6}:{(176,1),(177,1),(200,1)}
       192:{1,4,7}:{(178,1),(179,1),(182,1)}
       193:{2,3,4,7}:{(178,1),(180,1),(183,1),(201,1)}
       194:{1,2,5,7}:{(179,1),(180,1),(184,1),(185,1),(201,1)}
       195:{1,4,5}:{(181,1),(182,1),(186,1)}
       196:{2,3,4,5}:{(181,1),(183,1),(187,1),(202,1),(205,1)}
       197:{1,2,4,6}:{(182,1),(183,1),(184,1),(201,1),(202,1),(203,1)}
       198:{1,2,5}:{(186,1),(187,1),(188,1)}
       199:{1,2,3,6}:{(188,1),(189,1),(191,1),(203,1),(204,1)}
       200:{2,3,5}:{(190,1),(191,1),(205,1)}
       201:{1,2,4,7}:{(192,1),(193,1),(194,1),(197,1),(206,1)}
       202:{1,2,4,5}:{(195,1),(196,1),(197,1),(198,1),(207,1),(208,1)}
       203:{1,3,6}:{(197,1),(206,1),(207,1)}
       204:{1,2,3,5}:{(198,1),(199,1),(200,1),(207,1),(208,1)}
       205:{2,3,4}:{(200,1),(208,1)}
       206:{1,3,7}:{(201,1),(203,1)}
       207:{1,3,5}:{(202,1),(203,1),(209,1)}
       208:{1,2,4}:{(204,1),(205,1),(209,1)}
       209:{1,3,4}:{(207,1),(208,1)}

2048 :   0:{1,2,3,5,6,7}:{(2,1),(14,1),(24,1),(52,1),(54,1),(55,1),(59,1),(60,1),(68,1),(70,1),(105,1),(107,1),(111,1),(121,1),(147,1)}
         1:{1,2,4,5,6,7}:{(3,1),(13,1),(22,1),(23,1),(24,1),(67,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(81,1),(82,1),(96,1),(129,1),(134,1),(142,1),(161,1)}
         3:{3,5,6,7}:{(1,1),(9,1),(30,1),(95,1)}
         4:{1,2,4,5,6,7}:{(12,1),(13,1),(50,1),(51,1),(52,1),(104,1)}
         5:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(57,1),(58,1),(59,1),(152,1)}
         6:{3,4,6,7}:{(2,1),(14,1),(53,1),(70,1),(107,1),(122,1),(148,1),(151,1)}
         7:{2,3,4,5,7}:{(17,1),(18,1),(20,1),(58,1),(102,1),(115,1),(122,1),(146,1),(157,1)}
         8:{2,3,4,6,7}:{(17,1),(20,1),(21,1),(23,1),(70,1),(122,1)}
         9:{3,4,6,7}:{(3,1),(19,1),(22,1),(23,1),(53,1),(70,1),(122,1)}
        10:{1,3,5,6,7}:{(3,1),(22,1),(24,1),(54,1),(66,1),(68,1),(70,1)}
        11:{2,3,5,6,7}:{(3,1),(20,1),(23,1),(24,1),(55,1),(70,1),(121,1)}
        12:{3,5,6,7}:{(4,1),(27,1),(30,1),(128,1)}
        13:{1,2,4,5,6}:{(5,1),(30,1),(81,1),(82,1),(83,1)}
        14:{3,5,7}:{(5,1),(6,1),(30,1),(165,1)}
        15:{1,3,4,6,7}:{(6,1),(32,1),(34,1),(42,1),(81,1),(93,1),(96,1),(130,1),(133,1),(138,1),(161,1),(164,1)}
        16:{2,3,4,6,7}:{(6,1),(33,1),(34,1),(78,1),(82,1),(97,1),(126,1),(129,1),(133,1),(138,1),(142,1),(163,1)}
        17:{2,3,4,6}:{(7,1),(36,1),(37,1),(82,1),(133,1),(140,1)}
        18:{1,2,4,5,7}:{(7,1),(37,1),(38,1),(41,1),(85,1),(96,1),(135,1),(141,1)}
        19:{3,4,5,7}:{(9,1),(35,1),(39,1),(40,1),(95,1)}
        20:{2,3,5,7}:{(8,1),(36,1),(40,1),(41,1),(95,1)}
        21:{1,2,4,6,7}:{(8,1),(37,1),(41,1),(42,1),(96,1)}
        22:{1,4,6,7}:{(9,1),(10,1),(39,1),(81,1),(96,1)}
        23:{2,4,6,7}:{(9,1),(11,1),(40,1),(82,1),(142,1)}
        24:{1,2,5,6,7}:{(10,1),(11,1),(41,1),(44,1),(83,1),(94,1)}
        25:{1,3,4,5,7}:{(45,1),(46,1),(48,1),(57,1),(65,1),(115,1),(120,1),(148,1),(169,1)}
        26:{1,3,4,6,7}:{(45,1),(48,1),(49,1),(50,1),(107,1),(148,1)}
        27:{3,4,6,7}:{(12,1),(47,1),(50,1),(51,1),(53,1),(107,1),(148,1)}
        28:{1,3,5,6,7}:{(12,1),(48,1),(50,1),(52,1),(54,1),(107,1),(147,1)}
        29:{2,3,5,6,7}:{(12,1),(51,1),(52,1),(55,1),(103,1),(105,1),(107,1)}
        30:{3,5,6}:{(13,1),(14,1),(53,1)}
        31:{3,4,5,7}:{(14,1),(53,1),(57,1),(58,1),(115,1),(122,1),(148,1),(157,1),(169,1)}
        32:{1,3,5,7}:{(14,1),(15,1),(54,1),(57,1),(59,1),(115,1),(120,1),(172,1)}
        33:{2,3,5,7}:{(14,1),(16,1),(55,1),(58,1),(59,1),(115,1),(146,1),(171,1)}
        34:{1,2,4,6,7}:{(15,1),(16,1),(59,1),(60,1),(110,1),(112,1),(116,1),(170,1)}
        35:{3,4,5,6}:{(19,1),(53,1),(61,1),(62,1),(118,1),(169,1)}
        36:{2,3,5,6}:{(17,1),(20,1),(62,1),(63,1),(118,1),(146,1)}
        37:{1,2,4,6}:{(17,1),(18,1),(63,1),(64,1),(119,1)}
        38:{1,3,5,7}:{(18,1),(64,1),(65,1),(115,1),(120,1)}
        39:{1,4,5,7}:{(19,1),(22,1),(61,1),(66,1)}
        40:{2,4,5,7}:{(19,1),(20,1),(23,1),(62,1)}
        41:{1,2,5,7}:{(20,1),(21,1),(63,1),(68,1)}
        42:{1,3,6,7}:{(21,1),(64,1),(68,1),(70,1)}
        43:{1,3,4,6,7}:{(22,1),(66,1),(69,1),(70,1),(108,1),(122,1)}
        44:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(67,1),(70,1),(110,1)}
        45:{1,3,4,6}:{(25,1),(72,1),(73,1),(81,1),(133,1),(159,1)}
        46:{1,2,4,5,7}:{(25,1),(73,1),(74,1),(77,1),(85,1),(129,1),(135,1),(160,1)}
        47:{3,4,5,7}:{(27,1),(71,1),(75,1),(76,1),(128,1)}
        48:{1,3,5,7}:{(26,1),(72,1),(75,1),(77,1),(128,1)}
        49:{1,2,4,6,7}:{(26,1),(73,1),(77,1),(78,1),(129,1)}
        50:{1,4,6,7}:{(27,1),(28,1),(75,1),(81,1),(161,1)}
        51:{2,4,6,7}:{(27,1),(29,1),(76,1),(82,1),(129,1)}
        52:{1,2,5,6,7}:{(28,1),(29,1),(77,1),(80,1),(83,1),(127,1)}
        53:{3,4,6}:{(30,1),(31,1),(81,1),(82,1),(133,1)}
        54:{1,3,5,6}:{(30,1),(32,1),(81,1),(83,1),(133,1)}
        55:{2,3,5,6}:{(30,1),(33,1),(82,1),(83,1),(133,1)}
        56:{1,2,3,5,7}:{(38,1),(74,1),(84,1),(85,1),(135,1)}
        57:{1,4,5,7}:{(31,1),(32,1),(81,1),(96,1),(141,1),(161,1),(173,1)}
        58:{2,4,5,7}:{(31,1),(33,1),(82,1),(129,1),(142,1),(160,1),(167,1)}
        59:{1,2,5,7}:{(32,1),(33,1),(34,1),(83,1),(135,1),(174,1)}
        60:{1,2,3,6,7}:{(34,1),(42,1),(78,1),(84,1),(89,1),(97,1),(130,1),(133,1),(162,1)}
        61:{1,4,5,6}:{(35,1),(39,1),(81,1),(90,1),(173,1)}
        62:{2,4,5,6}:{(35,1),(36,1),(40,1),(82,1),(160,1)}
        63:{1,2,5,6}:{(36,1),(37,1),(41,1),(92,1),(135,1)}
        64:{1,3,6}:{(37,1),(38,1),(133,1)}
        65:{1,3,4,7}:{(38,1),(85,1),(93,1),(96,1),(138,1)}
        66:{1,3,5,7}:{(39,1),(43,1),(90,1),(94,1),(95,1)}
        67:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(44,1),(91,1),(94,1),(95,1),(96,1),(142,1)}
        68:{1,3,5,7}:{(41,1),(42,1),(92,1),(95,1),(96,1)}
        69:{1,2,4,6,7}:{(43,1),(94,1),(97,1),(131,1),(142,1)}
        70:{3,6,7}:{(44,1),(95,1),(133,1)}
        71:{3,4,5,6}:{(47,1),(53,1),(98,1),(99,1),(144,1),(157,1)}
        72:{1,3,5,6}:{(45,1),(48,1),(98,1),(100,1),(120,1),(144,1)}
        73:{1,2,4,6}:{(45,1),(46,1),(100,1),(101,1),(145,1)}
        74:{2,3,5,7}:{(46,1),(101,1),(102,1),(115,1),(146,1)}
        75:{1,4,5,7}:{(47,1),(48,1),(50,1),(98,1)}
        76:{2,4,5,7}:{(47,1),(51,1),(99,1),(103,1)}
        77:{1,2,5,7}:{(48,1),(49,1),(100,1),(105,1)}
        78:{2,3,6,7}:{(49,1),(101,1),(105,1),(107,1)}
        79:{2,3,4,6,7}:{(51,1),(103,1),(106,1),(107,1),(109,1),(148,1)}
        80:{1,2,4,6,7}:{(50,1),(51,1),(52,1),(104,1),(107,1),(110,1)}
        81:{1,4,6}:{(53,1),(54,1),(57,1)}
        82:{2,4,6}:{(53,1),(55,1),(58,1)}
        83:{1,2,5,6}:{(54,1),(55,1),(59,1),(110,1)}
        84:{1,2,3,6}:{(56,1),(64,1),(101,1),(112,1)}
        85:{1,2,4,7}:{(56,1),(65,1),(102,1),(112,1)}
        86:{1,3,4,5,7}:{(57,1),(66,1),(108,1),(113,1),(115,1),(122,1),(155,1),(157,1),(172,1)}
        87:{2,3,4,5,7}:{(58,1),(103,1),(109,1),(114,1),(115,1),(148,1),(154,1),(169,1),(171,1)}
        88:{1,2,4,5,7}:{(57,1),(58,1),(59,1),(110,1),(115,1),(116,1),(152,1)}
        89:{1,2,3,5,7}:{(59,1),(60,1),(68,1),(105,1),(111,1),(115,1),(116,1),(121,1),(147,1)}
        90:{1,3,5,6}:{(61,1),(66,1),(108,1),(117,1),(118,1),(172,1)}
        91:{1,2,4,5,6}:{(61,1),(62,1),(63,1),(67,1),(110,1),(117,1),(118,1),(119,1),(152,1),(156,1)}
        92:{1,3,5,6}:{(63,1),(64,1),(68,1),(118,1),(119,1),(120,1)}
        93:{1,3,4,6}:{(64,1),(65,1),(112,1),(119,1),(120,1),(151,1)}
        94:{1,2,5,7}:{(66,1),(69,1),(117,1),(121,1)}
        95:{3,5,7}:{(67,1),(70,1),(118,1),(122,1)}
        96:{1,4,7}:{(68,1),(119,1),(122,1)}
        97:{2,3,6,7}:{(69,1),(70,1),(121,1),(149,1)}
        98:{1,4,5,6}:{(71,1),(72,1),(75,1),(81,1),(141,1)}
        99:{2,4,5,6}:{(71,1),(76,1),(82,1),(123,1),(167,1)}
       100:{1,2,5,6}:{(72,1),(73,1),(77,1),(125,1),(135,1)}
       101:{2,3,6}:{(73,1),(74,1),(133,1)}
       102:{2,3,4,7}:{(74,1),(85,1),(126,1),(129,1),(138,1)}
       103:{2,3,5,7}:{(76,1),(79,1),(123,1),(127,1),(128,1)}
       104:{1,2,4,5,7}:{(75,1),(76,1),(77,1),(80,1),(124,1),(127,1),(128,1),(129,1),(161,1)}
       105:{2,3,5,7}:{(77,1),(78,1),(125,1),(128,1),(129,1)}
       106:{1,2,4,6,7}:{(79,1),(127,1),(130,1),(132,1),(161,1)}
       107:{3,6,7}:{(80,1),(128,1),(133,1)}
       108:{1,3,4,6}:{(81,1),(86,1),(90,1),(131,1),(133,1),(140,1)}
       109:{2,3,4,6}:{(82,1),(87,1),(123,1),(132,1),(133,1),(159,1)}
       110:{1,2,4,6}:{(81,1),(82,1),(83,1),(88,1),(133,1)}
       111:{1,2,3,5,6}:{(83,1),(84,1),(89,1),(92,1),(125,1),(133,1),(134,1),(135,1),(139,1),(158,1),(162,1),(165,1),(174,1)}
       112:{1,2,4,6}:{(84,1),(85,1),(93,1),(126,1),(135,1)}
       113:{1,2,4,5,7}:{(86,1),(94,1),(131,1),(136,1),(142,1),(166,1),(167,1),(174,1)}
       114:{1,2,4,5,7}:{(87,1),(127,1),(132,1),(137,1),(161,1),(166,1),(173,1),(174,1)}
       115:{3,5,7}:{(88,1),(133,1),(138,1),(165,1)}
       116:{1,2,4,7}:{(89,1),(96,1),(129,1),(134,1),(138,1),(142,1),(161,1)}
       117:{1,2,5,6}:{(90,1),(94,1),(131,1),(139,1),(174,1)}
       118:{3,5,6}:{(91,1),(95,1),(133,1),(140,1),(165,1)}
       119:{1,4,6}:{(92,1),(96,1),(140,1),(141,1)}
       120:{1,3,5}:{(93,1),(135,1),(141,1),(165,1)}
       121:{2,3,5,7}:{(94,1),(95,1),(97,1),(139,1),(142,1)}
       122:{3,4,7}:{(95,1),(96,1),(140,1),(142,1)}
       123:{2,3,5,6}:{(99,1),(103,1),(109,1),(143,1),(144,1),(171,1)}
       124:{1,2,4,5,6}:{(98,1),(99,1),(100,1),(104,1),(110,1),(143,1),(144,1),(145,1),(152,1),(168,1)}
       125:{2,3,5,6}:{(100,1),(101,1),(105,1),(144,1),(145,1),(146,1)}
       126:{2,3,4,6}:{(101,1),(102,1),(112,1),(145,1),(146,1),(151,1)}
       127:{1,2,5,7}:{(103,1),(106,1),(143,1),(147,1)}
       128:{3,5,7}:{(104,1),(107,1),(144,1),(148,1)}
       129:{2,4,7}:{(105,1),(145,1),(148,1)}
       130:{1,3,6,7}:{(106,1),(107,1),(147,1),(150,1)}
       131:{1,2,4,6}:{(108,1),(113,1),(117,1),(149,1),(156,1)}
       132:{1,2,4,6}:{(109,1),(114,1),(143,1),(150,1),(168,1)}
       133:{3,6}:{(110,1),(115,1)}
       134:{1,2,4,6}:{(111,1),(116,1),(119,1),(145,1),(151,1),(152,1),(156,1),(168,1)}
       135:{1,2,5}:{(112,1),(120,1),(146,1)}
       136:{2,3,5,7}:{(113,1),(115,1),(149,1),(154,1),(171,1)}
       137:{1,3,5,7}:{(114,1),(115,1),(150,1),(155,1),(172,1)}
       138:{3,4,7}:{(115,1),(116,1),(151,1)}
       139:{2,3,5,6}:{(117,1),(118,1),(121,1),(149,1),(156,1),(171,1)}
       140:{3,4,6}:{(118,1),(119,1),(122,1),(156,1),(157,1)}
       141:{1,4,5}:{(119,1),(120,1),(157,1)}
       142:{2,4,7}:{(121,1),(122,1),(156,1)}
       143:{1,2,5,6}:{(123,1),(127,1),(132,1),(158,1),(174,1)}
       144:{3,5,6}:{(124,1),(128,1),(133,1),(159,1),(165,1)}
       145:{2,4,6}:{(125,1),(129,1),(159,1),(160,1)}
       146:{2,3,5}:{(126,1),(135,1),(160,1),(165,1)}
       147:{1,3,5,7}:{(127,1),(128,1),(130,1),(158,1),(161,1)}
       148:{3,4,7}:{(128,1),(129,1),(159,1),(161,1)}
       149:{2,3,6}:{(131,1),(133,1),(136,1)}
       150:{1,3,6}:{(132,1),(133,1),(137,1)}
       151:{3,4,6}:{(133,1),(134,1),(138,1),(165,1)}
       152:{1,2,4,5}:{(134,1),(135,1),(141,1),(160,1),(165,1),(167,1),(173,1),(174,1)}
       153:{1,2,3,5,7}:{(136,1),(137,1),(162,1),(166,1),(174,1)}
       154:{2,3,4,7}:{(136,1),(138,1),(142,1),(163,1),(166,1)}
       155:{1,3,4,7}:{(137,1),(138,1),(161,1),(164,1),(166,1)}
       156:{2,4,6}:{(139,1),(140,1),(142,1),(167,1)}
       157:{3,4,5}:{(140,1),(141,1),(165,1),(167,1)}
       158:{1,3,5,6}:{(143,1),(144,1),(147,1),(150,1),(168,1),(172,1)}
       159:{3,4,6}:{(144,1),(145,1),(148,1),(168,1),(169,1)}
       160:{2,4,5}:{(145,1),(146,1),(169,1)}
       161:{1,4,7}:{(147,1),(148,1),(168,1)}
       162:{1,2,3,6}:{(149,1),(150,1),(153,1),(170,1)}
       163:{2,3,4,6}:{(149,1),(151,1),(154,1),(156,1),(170,1),(171,1)}
       164:{1,3,4,6}:{(150,1),(151,1),(155,1),(168,1),(170,1),(172,1)}
       165:{3,5}:{(151,1),(152,1)}
       166:{1,2,4,7}:{(153,1),(154,1),(155,1),(170,1)}
       167:{2,4,5}:{(156,1),(157,1),(171,1)}
       168:{1,4,6}:{(158,1),(159,1),(161,1),(173,1)}
       169:{3,4,5}:{(159,1),(160,1),(165,1),(173,1)}
       170:{1,2,4,6}:{(162,1),(163,1),(164,1),(166,1),(174,1)}
       171:{2,3,5}:{(163,1),(165,1),(167,1),(174,1)}
       172:{1,3,5}:{(164,1),(165,1),(173,1),(174,1)}
       173:{1,4,5}:{(168,1),(169,1),(172,1)}
       174:{1,2,5}:{(170,1),(171,1),(172,1)}

2049 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(18,1),(37,1),(38,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(24,1),(47,1)}
        2:{1,2,4,5,7}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,5,6}:{(1,1),(5,1),(12,1),(34,1),(37,1)}
        4:{3,4,5,7}:{(2,1),(10,1),(24,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(10,1)}
        6:{1,2,3,5,6,7}:{(3,1),(11,1),(24,1),(40,1),(41,1),(47,1),(48,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(30,1),(31,1),(34,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(16,1),(35,1),(52,1),(62,1)}
        9:{1,3,4,5,7}:{(4,1),(15,1),(17,1),(36,1),(52,1),(62,1)}
       10:{3,4,6}:{(4,1),(5,1),(12,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(13,1),(18,1),(49,1),(50,1)}
       12:{3,5,6}:{(7,1),(10,1),(24,1)}
       13:{1,2,4,5,7}:{(7,1),(11,1),(24,1),(43,1),(44,1),(47,1)}
       14:{1,2,3,4,7}:{(21,1),(25,1),(60,1)}
       15:{1,2,4,5,7}:{(8,1),(9,1),(25,1),(26,1),(45,1),(47,1),(60,1)}
       16:{2,3,4,6}:{(8,1),(10,1),(22,1),(26,1),(58,1)}
       17:{1,3,4,6}:{(9,1),(10,1),(23,1),(26,1),(58,1)}
       18:{3,4,6,7}:{(10,1),(11,1),(24,1)}
       19:{1,2,4,5,6,7}:{(13,1),(29,1),(49,1),(50,1),(51,1)}
       20:{3,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(53,1)}
       21:{1,2,3,4,6}:{(14,1),(33,1),(37,1),(55,1)}
       22:{2,3,5,6}:{(12,1),(16,1),(30,1),(34,1),(35,1),(53,1)}
       23:{1,3,5,6}:{(12,1),(17,1),(31,1),(34,1),(36,1),(53,1)}
       24:{3,5,7}:{(12,1),(13,1),(18,1)}
       25:{1,2,3,5,7}:{(14,1),(15,1),(33,1),(37,1)}
       26:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(37,1)}
       27:{2,3,4,6,7}:{(16,1),(18,1),(35,1),(38,1),(49,1),(61,1),(62,1)}
       28:{1,3,4,6,7}:{(17,1),(18,1),(36,1),(38,1),(50,1),(61,1),(62,1)}
       29:{3,5,6,7}:{(19,1),(24,1),(39,1)}
       30:{2,4,5,6}:{(20,1),(22,1),(43,1)}
       31:{1,4,5,6}:{(20,1),(23,1),(44,1)}
       32:{3,4,5,7}:{(20,1),(24,1),(39,1),(43,1),(44,1),(59,1)}
       33:{1,2,3,5}:{(21,1),(45,1)}
       34:{1,2,5,6}:{(22,1),(23,1),(26,1),(47,1)}
       35:{2,3,5,7}:{(22,1),(24,1),(27,1),(43,1),(47,1),(59,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(28,1),(44,1),(47,1),(59,1)}
       37:{1,2,3,6}:{(25,1),(26,1)}
       38:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(47,1),(48,1),(60,1)}
       39:{3,4,6,7}:{(29,1),(32,1),(49,1),(50,1),(61,1)}
       40:{2,3,5,6,7}:{(29,1),(35,1),(49,1),(51,1),(61,1)}
       41:{1,3,5,6,7}:{(29,1),(36,1),(50,1),(51,1),(61,1)}
       42:{1,2,4,5,6}:{(30,1),(31,1),(34,1),(53,1),(54,1),(55,1)}
       43:{2,4,5,7}:{(30,1),(32,1),(35,1),(49,1)}
       44:{1,4,5,7}:{(31,1),(32,1),(36,1),(50,1)}
       45:{1,2,4,5}:{(33,1),(52,1),(55,1)}
       46:{1,2,3,5,6}:{(33,1),(34,1),(37,1),(53,1),(55,1),(56,1)}
       47:{1,2,5,7}:{(34,1),(35,1),(36,1),(38,1)}
       48:{1,2,3,6,7}:{(37,1),(38,1),(56,1),(61,1)}
       49:{2,4,6,7}:{(39,1),(40,1),(43,1)}
       50:{1,4,6,7}:{(39,1),(41,1),(44,1)}
       51:{1,2,5,6,7}:{(40,1),(41,1),(47,1),(57,1)}
       52:{3,4,5}:{(45,1),(58,1)}
       53:{3,5,6}:{(42,1),(58,1),(59,1)}
       54:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(47,1),(57,1),(59,1),(60,1)}
       55:{1,2,4,6}:{(45,1),(46,1),(58,1),(60,1)}
       56:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(59,1),(60,1)}
       57:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(54,1),(61,1)}
       58:{3,4,6}:{(52,1),(53,1),(55,1),(62,1)}
       59:{3,5,7}:{(53,1),(54,1),(61,1),(62,1)}
       60:{1,2,4,7}:{(55,1),(56,1),(62,1)}
       61:{3,6,7}:{(57,1),(59,1)}
       62:{3,4,7}:{(58,1),(59,1),(60,1)}

2050 :   0:{2,3,4,5,7}:{(3,1),(4,1),(25,1),(39,1),(94,1),(143,1),(147,1),(150,1),(186,1),(191,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(31,1),(33,1),(86,1),(144,1),(149,1),(153,1),(186,1),(193,1)}
         2:{2,4,5,6,7}:{(7,1),(41,1),(182,1)}
         3:{2,3,4,6}:{(0,1),(11,1),(12,1),(116,1),(176,1),(201,1),(203,1)}
         4:{1,2,4,5,7}:{(0,1),(12,1),(13,1),(47,1),(52,1),(108,1),(113,1),(117,1)}
         5:{1,3,4,6}:{(1,1),(16,1),(17,1),(123,1),(172,1),(201,1),(204,1)}
         6:{1,2,4,5,7}:{(1,1),(17,1),(18,1),(47,1),(60,1),(108,1),(120,1),(124,1)}
         7:{3,5,6,7}:{(2,1),(19,1),(20,1),(197,1)}
         8:{1,4,5,6,7}:{(22,1),(69,1),(156,1)}
         9:{2,3,4,6,7}:{(3,1),(25,1),(26,1),(41,1),(96,1),(143,1),(154,1)}
        10:{3,4,5,6}:{(24,1),(27,1),(28,1),(84,1),(153,1),(194,1)}
        11:{2,3,5,6}:{(3,1),(25,1),(28,1),(29,1),(84,1),(94,1),(195,1)}
        12:{1,2,4,6}:{(3,1),(4,1),(29,1),(30,1),(85,1)}
        13:{1,3,5,7}:{(4,1),(30,1),(31,1),(86,1),(186,1)}
        14:{1,3,4,6,7}:{(5,1),(33,1),(34,1),(69,1),(129,1),(149,1),(180,1)}
        15:{3,4,5,6}:{(32,1),(35,1),(36,1),(92,1),(147,1),(192,1)}
        16:{1,3,5,6}:{(5,1),(33,1),(35,1),(37,1),(86,1),(92,1),(205,1)}
        17:{1,2,4,6}:{(5,1),(6,1),(37,1),(38,1),(93,1)}
        18:{2,3,5,7}:{(6,1),(38,1),(39,1),(94,1),(186,1)}
        19:{3,4,6,7}:{(7,1),(24,1),(40,1),(41,1),(96,1),(194,1)}
        20:{1,5,6,7}:{(7,1),(40,1),(205,1)}
        21:{2,3,5,6,7}:{(7,1),(25,1),(41,1),(42,1),(96,1),(151,1)}
        22:{3,5,6,7}:{(8,1),(43,1),(45,1),(179,1)}
        23:{1,2,3,5,7}:{(13,1),(18,1),(46,1),(47,1),(108,1)}
        24:{3,4,5,7}:{(10,1),(19,1),(50,1),(51,1),(112,1)}
        25:{2,3,5,7}:{(9,1),(11,1),(51,1),(52,1),(112,1),(178,1)}
        26:{1,2,4,6,7}:{(9,1),(12,1),(52,1),(53,1),(113,1)}
        27:{1,4,5,6}:{(10,1),(50,1),(54,1),(177,1),(204,1)}
        28:{2,4,5,6}:{(10,1),(11,1),(51,1),(124,1),(176,1)}
        29:{1,2,5,6}:{(11,1),(12,1),(52,1),(56,1),(108,1)}
        30:{1,3,6}:{(12,1),(13,1),(201,1)}
        31:{1,3,4,7}:{(13,1),(47,1),(57,1),(113,1),(162,1)}
        32:{3,4,5,7}:{(15,1),(43,1),(58,1),(59,1),(119,1)}
        33:{1,3,5,7}:{(14,1),(16,1),(58,1),(60,1),(119,1),(196,1)}
        34:{1,2,4,6,7}:{(14,1),(17,1),(60,1),(61,1),(120,1)}
        35:{1,4,5,6}:{(15,1),(16,1),(58,1),(117,1),(172,1)}
        36:{2,4,5,6}:{(15,1),(59,1),(62,1),(173,1),(203,1)}
        37:{1,2,5,6}:{(16,1),(17,1),(60,1),(64,1),(108,1)}
        38:{2,3,6}:{(17,1),(18,1),(201,1)}
        39:{2,3,4,7}:{(18,1),(47,1),(65,1),(120,1),(162,1)}
        40:{1,4,6,7}:{(19,1),(20,1),(50,1),(66,1),(204,1)}
        41:{2,4,6,7}:{(19,1),(21,1),(51,1),(176,1)}
        42:{1,2,5,6,7}:{(20,1),(21,1),(52,1),(67,1),(68,1),(164,1),(178,1)}
        43:{3,4,6,7}:{(22,1),(32,1),(69,1),(70,1),(129,1),(192,1)}
        44:{1,3,5,6,7}:{(22,1),(33,1),(69,1),(71,1),(129,1),(145,1)}
        45:{2,5,6,7}:{(22,1),(70,1),(195,1)}
        46:{1,2,3,6}:{(23,1),(30,1),(38,1),(76,1)}
        47:{1,2,4,7}:{(23,1),(31,1),(39,1),(76,1)}
        48:{1,3,4,5}:{(73,1),(77,1),(141,1),(147,1),(190,1)}
        49:{2,3,4,5}:{(74,1),(78,1),(140,1),(153,1),(189,1)}
        50:{1,4,5,7}:{(24,1),(27,1),(40,1),(79,1)}
        51:{2,4,5,7}:{(24,1),(25,1),(28,1),(41,1)}
        52:{1,2,5,7}:{(25,1),(26,1),(29,1),(81,1)}
        53:{1,3,6,7}:{(26,1),(30,1),(81,1),(96,1)}
        54:{1,3,5,6}:{(27,1),(73,1),(79,1),(83,1),(84,1),(190,1),(208,1)}
        55:{1,2,4,5,6}:{(27,1),(28,1),(29,1),(80,1),(83,1),(84,1),(85,1),(138,1),(146,1),(156,1),(187,1),(195,1)}
        56:{1,3,5,6}:{(29,1),(30,1),(81,1),(84,1),(85,1),(86,1)}
        57:{1,3,4,6}:{(30,1),(31,1),(76,1),(85,1),(86,1),(137,1)}
        58:{1,4,5,7}:{(32,1),(33,1),(35,1),(69,1)}
        59:{2,4,5,7}:{(32,1),(36,1),(70,1),(87,1)}
        60:{1,2,5,7}:{(33,1),(34,1),(37,1),(89,1)}
        61:{2,3,6,7}:{(34,1),(38,1),(89,1),(129,1)}
        62:{2,3,5,6}:{(36,1),(74,1),(87,1),(91,1),(92,1),(189,1),(207,1)}
        63:{1,2,4,5,6}:{(35,1),(36,1),(37,1),(88,1),(91,1),(92,1),(93,1),(138,1),(152,1),(182,1),(187,1),(205,1)}
        64:{2,3,5,6}:{(37,1),(38,1),(89,1),(92,1),(93,1),(94,1)}
        65:{2,3,4,6}:{(38,1),(39,1),(76,1),(93,1),(94,1),(137,1)}
        66:{1,3,6,7}:{(40,1),(79,1),(95,1),(96,1),(208,1)}
        67:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(80,1),(95,1),(96,1),(97,1),(154,1),(187,1)}
        68:{1,3,5,6,7}:{(42,1),(81,1),(96,1),(97,1),(145,1),(155,1)}
        69:{1,4,6,7}:{(43,1),(44,1),(58,1),(172,1)}
        70:{2,4,6,7}:{(43,1),(45,1),(59,1),(98,1),(203,1)}
        71:{1,2,5,6,7}:{(44,1),(45,1),(60,1),(99,1),(100,1),(164,1),(196,1)}
        72:{1,2,3,6,7}:{(46,1),(53,1),(61,1),(103,1),(104,1),(125,1),(157,1),(201,1),(209,1)}
        73:{1,3,4,6}:{(48,1),(54,1),(101,1),(105,1),(116,1)}
        74:{2,3,4,6}:{(49,1),(62,1),(102,1),(106,1),(123,1)}
        75:{1,2,3,5,6}:{(46,1),(56,1),(64,1),(103,1),(107,1),(108,1),(115,1),(122,1),(164,1),(165,1),(168,1),(201,1),(202,1),(209,1)}
        76:{1,2,4,6}:{(46,1),(47,1),(57,1),(65,1),(108,1)}
        77:{1,2,4,5}:{(48,1),(105,1),(109,1),(169,1),(173,1),(202,1)}
        78:{1,2,4,5}:{(49,1),(106,1),(110,1),(169,1),(177,1),(202,1)}
        79:{1,3,5,7}:{(50,1),(54,1),(66,1),(101,1),(111,1),(112,1)}
        80:{1,2,4,5,7}:{(50,1),(51,1),(52,1),(55,1),(67,1),(111,1),(112,1),(113,1),(127,1),(170,1),(178,1)}
        81:{1,3,5,7}:{(52,1),(53,1),(56,1),(112,1),(113,1)}
        82:{1,3,4,6,7}:{(53,1),(57,1),(104,1),(113,1),(114,1),(126,1),(162,1),(172,1),(201,1)}
        83:{1,2,5,6}:{(54,1),(105,1),(111,1),(115,1),(202,1),(209,1)}
        84:{3,5,6}:{(55,1),(112,1),(116,1),(168,1),(201,1)}
        85:{1,4,6}:{(56,1),(113,1),(116,1),(117,1)}
        86:{1,3,5}:{(57,1),(108,1),(117,1),(168,1)}
        87:{2,3,5,7}:{(59,1),(62,1),(98,1),(102,1),(118,1),(119,1)}
        88:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(63,1),(99,1),(118,1),(119,1),(120,1),(159,1),(174,1),(196,1)}
        89:{2,3,5,7}:{(60,1),(61,1),(64,1),(119,1),(120,1)}
        90:{2,3,4,6,7}:{(61,1),(65,1),(104,1),(120,1),(121,1),(158,1),(162,1),(176,1),(201,1)}
        91:{1,2,5,6}:{(62,1),(106,1),(118,1),(122,1),(202,1),(209,1)}
        92:{3,5,6}:{(63,1),(119,1),(123,1),(168,1),(201,1)}
        93:{2,4,6}:{(64,1),(120,1),(123,1),(124,1)}
        94:{2,3,5}:{(65,1),(108,1),(124,1),(168,1)}
        95:{1,2,6,7}:{(66,1),(111,1),(125,1),(209,1)}
        96:{3,6,7}:{(67,1),(112,1),(201,1)}
        97:{1,4,6,7}:{(68,1),(113,1),(126,1),(127,1),(172,1)}
        98:{2,3,6,7}:{(70,1),(87,1),(128,1),(129,1),(207,1)}
        99:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(88,1),(128,1),(129,1),(130,1),(180,1),(187,1)}
       100:{2,3,5,6,7}:{(71,1),(89,1),(129,1),(130,1),(151,1),(181,1)}
       101:{1,3,4,7}:{(73,1),(79,1),(131,1),(143,1)}
       102:{2,3,4,7}:{(74,1),(87,1),(132,1),(149,1)}
       103:{1,2,3,5,7}:{(72,1),(75,1),(81,1),(89,1),(133,1),(134,1),(142,1),(148,1),(183,1),(186,1),(206,1)}
       104:{1,2,4,6,7}:{(72,1),(76,1),(82,1),(90,1),(133,1),(134,1),(154,1),(180,1),(187,1)}
       105:{1,2,4,6}:{(73,1),(77,1),(83,1),(131,1),(135,1),(146,1)}
       106:{1,2,4,6}:{(74,1),(78,1),(91,1),(132,1),(136,1),(152,1)}
       107:{1,2,4,6}:{(75,1),(85,1),(93,1),(133,1),(137,1),(138,1),(146,1),(152,1)}
       108:{1,2,5}:{(76,1),(86,1),(94,1)}
       109:{2,3,5}:{(77,1),(135,1),(140,1)}
       110:{1,3,5}:{(78,1),(136,1),(141,1)}
       111:{1,2,5,7}:{(79,1),(83,1),(95,1),(131,1),(142,1)}
       112:{3,5,7}:{(80,1),(84,1),(96,1),(143,1)}
       113:{1,4,7}:{(81,1),(85,1),(143,1)}
       114:{1,3,5,7}:{(82,1),(86,1),(134,1),(144,1),(145,1),(155,1),(186,1)}
       115:{2,3,5,6}:{(83,1),(84,1),(135,1),(142,1),(146,1),(189,1),(195,1),(207,1)}
       116:{3,4,6}:{(84,1),(85,1),(143,1),(146,1),(147,1)}
       117:{1,4,5}:{(85,1),(86,1),(147,1)}
       118:{1,2,5,7}:{(87,1),(91,1),(128,1),(132,1),(148,1)}
       119:{3,5,7}:{(88,1),(92,1),(129,1),(149,1)}
       120:{2,4,7}:{(89,1),(93,1),(149,1)}
       121:{2,3,5,7}:{(90,1),(94,1),(134,1),(150,1),(151,1),(181,1),(186,1)}
       122:{1,3,5,6}:{(91,1),(92,1),(136,1),(148,1),(152,1),(190,1),(205,1),(208,1)}
       123:{3,4,6}:{(92,1),(93,1),(149,1),(152,1),(153,1)}
       124:{2,4,5}:{(93,1),(94,1),(153,1)}
       125:{2,3,6,7}:{(95,1),(96,1),(142,1),(154,1),(207,1)}
       126:{3,4,6,7}:{(96,1),(97,1),(143,1),(154,1),(155,1),(192,1)}
       127:{1,4,5,7}:{(97,1),(155,1),(156,1)}
       128:{1,2,6,7}:{(98,1),(118,1),(157,1),(209,1)}
       129:{3,6,7}:{(99,1),(119,1),(201,1)}
       130:{2,4,6,7}:{(100,1),(120,1),(158,1),(159,1),(176,1)}
       131:{1,2,4,7}:{(101,1),(105,1),(111,1),(160,1),(170,1)}
       132:{1,2,4,7}:{(102,1),(106,1),(118,1),(161,1),(174,1)}
       133:{1,2,4,7}:{(103,1),(107,1),(113,1),(120,1),(162,1),(170,1),(174,1)}
       134:{1,2,5,7}:{(104,1),(108,1),(114,1),(121,1),(164,1),(178,1),(196,1)}
       135:{2,3,6}:{(105,1),(109,1),(160,1)}
       136:{1,3,6}:{(106,1),(110,1),(161,1)}
       137:{3,4,6}:{(107,1),(162,1),(168,1),(201,1)}
       138:{1,2,4,5}:{(107,1),(108,1),(117,1),(124,1),(168,1),(173,1),(177,1),(202,1)}
       139:{1,2,3,5}:{(109,1),(110,1),(165,1),(169,1),(202,1)}
       140:{2,3,4}:{(109,1),(169,1)}
       141:{1,3,4}:{(110,1),(169,1)}
       142:{2,3,5,7}:{(111,1),(112,1),(115,1),(125,1),(160,1),(170,1),(178,1)}
       143:{3,4,7}:{(112,1),(113,1),(116,1),(170,1)}
       144:{1,4,5,7}:{(113,1),(114,1),(117,1),(171,1),(172,1)}
       145:{1,3,5,6}:{(114,1),(164,1),(172,1),(179,1),(201,1)}
       146:{2,4,6}:{(115,1),(116,1),(170,1),(173,1)}
       147:{3,4,5}:{(116,1),(117,1),(168,1),(173,1)}
       148:{1,3,5,7}:{(118,1),(119,1),(122,1),(157,1),(161,1),(174,1),(196,1)}
       149:{3,4,7}:{(119,1),(120,1),(123,1),(174,1)}
       150:{2,4,5,7}:{(120,1),(121,1),(124,1),(175,1),(176,1)}
       151:{2,3,5,6}:{(121,1),(164,1),(176,1),(197,1),(201,1)}
       152:{1,4,6}:{(122,1),(123,1),(174,1),(177,1)}
       153:{3,4,5}:{(123,1),(124,1),(168,1),(177,1)}
       154:{2,4,6,7}:{(125,1),(126,1),(170,1),(178,1),(203,1)}
       155:{3,5,7}:{(126,1),(127,1),(178,1),(179,1)}
       156:{1,4,5,6}:{(127,1),(172,1),(179,1)}
       157:{1,3,6,7}:{(128,1),(129,1),(148,1),(180,1),(208,1)}
       158:{3,4,6,7}:{(129,1),(130,1),(149,1),(180,1),(181,1),(194,1)}
       159:{2,4,5,7}:{(130,1),(181,1),(182,1)}
       160:{2,3,7}:{(131,1),(135,1)}
       161:{1,3,7}:{(132,1),(136,1)}
       162:{3,4,7}:{(133,1),(137,1),(186,1)}
       163:{1,2,4,5,7}:{(133,1),(134,1),(138,1),(144,1),(150,1),(186,1),(187,1),(191,1),(193,1),(206,1)}
       164:{1,2,5,6}:{(134,1),(145,1),(151,1),(187,1),(195,1),(205,1)}
       165:{1,2,3,6}:{(135,1),(136,1),(139,1),(183,1),(188,1)}
       166:{2,3,4,6}:{(135,1),(137,1),(140,1),(146,1),(184,1),(188,1),(189,1),(207,1)}
       167:{1,3,4,6}:{(136,1),(137,1),(141,1),(152,1),(185,1),(188,1),(190,1),(208,1)}
       168:{3,5}:{(137,1),(138,1)}
       169:{1,2,4}:{(139,1),(140,1),(141,1)}
       170:{2,4,7}:{(142,1),(143,1),(146,1)}
       171:{3,4,5,7}:{(143,1),(144,1),(147,1),(155,1),(186,1),(191,1),(192,1)}
       172:{1,4,6}:{(144,1),(145,1),(192,1)}
       173:{2,4,5}:{(146,1),(147,1),(189,1)}
       174:{1,4,7}:{(148,1),(149,1),(152,1)}
       175:{3,4,5,7}:{(149,1),(150,1),(153,1),(181,1),(186,1),(193,1),(194,1)}
       176:{2,4,6}:{(150,1),(151,1),(194,1)}
       177:{1,4,5}:{(152,1),(153,1),(190,1)}
       178:{2,5,7}:{(154,1),(155,1),(195,1)}
       179:{3,5,6}:{(155,1),(156,1),(192,1),(195,1)}
       180:{1,4,6,7}:{(157,1),(158,1),(174,1),(196,1),(204,1)}
       181:{3,5,7}:{(158,1),(159,1),(196,1),(197,1)}
       182:{2,4,5,6}:{(159,1),(176,1),(197,1)}
       183:{1,2,3,7}:{(160,1),(161,1),(165,1),(198,1)}
       184:{2,3,4,7}:{(160,1),(162,1),(166,1),(170,1),(198,1),(199,1)}
       185:{1,3,4,7}:{(161,1),(162,1),(167,1),(174,1),(198,1),(200,1)}
       186:{3,5,7}:{(162,1),(163,1),(168,1),(201,1)}
       187:{1,2,4,6}:{(163,1),(164,1),(172,1),(176,1),(201,1),(203,1),(204,1),(209,1)}
       188:{1,2,4,6}:{(165,1),(166,1),(167,1),(169,1),(198,1),(202,1),(209,1)}
       189:{2,3,5}:{(166,1),(168,1),(173,1),(202,1)}
       190:{1,3,5}:{(167,1),(168,1),(177,1),(202,1)}
       191:{2,4,5,7}:{(170,1),(171,1),(173,1),(178,1),(199,1),(203,1)}
       192:{3,4,6}:{(171,1),(172,1),(179,1),(201,1),(203,1)}
       193:{1,4,5,7}:{(174,1),(175,1),(177,1),(196,1),(200,1),(204,1)}
       194:{3,4,6}:{(175,1),(176,1),(197,1),(201,1),(204,1)}
       195:{2,5,6}:{(178,1),(179,1),(203,1)}
       196:{1,5,7}:{(180,1),(181,1),(205,1)}
       197:{3,5,6}:{(181,1),(182,1),(194,1),(205,1)}
       198:{1,2,4,7}:{(183,1),(184,1),(185,1),(188,1),(206,1)}
       199:{2,3,5,7}:{(184,1),(186,1),(189,1),(191,1),(206,1),(207,1)}
       200:{1,3,5,7}:{(185,1),(186,1),(190,1),(193,1),(206,1),(208,1)}
       201:{3,6}:{(186,1),(187,1)}
       202:{1,2,5}:{(188,1),(189,1),(190,1)}
       203:{2,4,6}:{(191,1),(192,1),(195,1),(207,1)}
       204:{1,4,6}:{(193,1),(194,1),(205,1),(208,1)}
       205:{1,5,6}:{(196,1),(197,1),(204,1)}
       206:{1,2,5,7}:{(198,1),(199,1),(200,1),(202,1),(209,1)}
       207:{2,3,6}:{(199,1),(201,1),(203,1),(209,1)}
       208:{1,3,6}:{(200,1),(201,1),(204,1),(209,1)}
       209:{1,2,6}:{(206,1),(207,1),(208,1)}

2051 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(34,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(43,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(33,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(8,1),(20,1),(41,1),(42,1),(43,1),(45,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(20,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(28,1),(29,1),(33,1)}
        8:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(14,1),(47,1),(48,1)}
        9:{3,4,6}:{(5,1),(6,1),(13,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(31,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(32,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(38,1),(39,1),(43,1)}
       13:{3,5,6}:{(7,1),(9,1),(20,1)}
       14:{3,4,6,7}:{(8,1),(9,1),(20,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(21,1),(25,1),(57,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(22,1),(25,1),(57,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(43,1),(58,1),(59,1)}
       18:{3,4,5,6}:{(13,1),(27,1),(28,1),(29,1),(50,1)}
       19:{1,2,4,5,6,7}:{(12,1),(30,1),(47,1),(48,1),(51,1)}
       20:{3,5,7}:{(12,1),(13,1),(14,1)}
       21:{1,3,5,6}:{(13,1),(15,1),(28,1),(31,1),(33,1),(50,1)}
       22:{2,3,5,6}:{(13,1),(16,1),(29,1),(32,1),(33,1),(50,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(31,1),(34,1),(47,1),(60,1),(61,1)}
       24:{2,3,4,6,7}:{(14,1),(16,1),(32,1),(34,1),(48,1),(60,1),(61,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(33,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,4,5,7}:{(18,1),(20,1),(37,1),(38,1),(39,1),(56,1)}
       28:{1,4,5,6}:{(18,1),(21,1),(38,1)}
       29:{2,4,5,6}:{(18,1),(22,1),(39,1)}
       30:{3,5,6,7}:{(19,1),(20,1),(37,1)}
       31:{1,3,5,7}:{(20,1),(21,1),(23,1),(38,1),(43,1),(56,1)}
       32:{2,3,5,7}:{(20,1),(22,1),(24,1),(39,1),(43,1),(56,1)}
       33:{1,2,5,6}:{(21,1),(22,1),(25,1),(43,1)}
       34:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(43,1),(45,1),(58,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(58,1)}
       37:{3,4,6,7}:{(27,1),(30,1),(47,1),(48,1),(60,1)}
       38:{1,4,5,7}:{(27,1),(28,1),(31,1),(47,1)}
       39:{2,4,5,7}:{(27,1),(29,1),(32,1),(48,1)}
       40:{1,2,4,5,6}:{(28,1),(29,1),(33,1),(49,1),(50,1),(53,1)}
       41:{1,3,5,6,7}:{(30,1),(31,1),(47,1),(51,1),(60,1)}
       42:{2,3,5,6,7}:{(30,1),(32,1),(48,1),(51,1),(60,1)}
       43:{1,2,5,7}:{(31,1),(32,1),(33,1),(34,1)}
       44:{1,2,3,5,6}:{(33,1),(35,1),(50,1),(52,1),(53,1),(54,1)}
       45:{1,2,3,6,7}:{(34,1),(35,1),(52,1),(60,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(41,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(42,1)}
       49:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(55,1),(56,1),(58,1)}
       50:{3,5,6}:{(40,1),(56,1),(57,1)}
       51:{1,2,5,6,7}:{(41,1),(42,1),(43,1),(55,1)}
       52:{1,2,3,5,7}:{(43,1),(44,1),(45,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(44,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(51,1),(60,1)}
       56:{3,5,7}:{(49,1),(50,1),(60,1),(61,1)}
       57:{3,4,6}:{(50,1),(53,1),(61,1),(62,1)}
       58:{1,2,4,7}:{(52,1),(53,1),(61,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(57,1),(59,1)}

2052 :  0:{1,2,3,4,7}:{(1,1),(2,1),(31,1),(53,1)}
        1:{1,2,3,4,6}:{(0,1),(4,1),(6,1),(16,1),(18,1),(39,1)}
        2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        3:{2,3,4,5,7}:{(5,1),(7,1),(17,1),(23,1),(43,1)}
        4:{1,2,3,5}:{(1,1),(9,1)}
        5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(11,1),(31,1),(32,1)}
        6:{1,2,3,6}:{(2,1),(11,1)}
        7:{2,3,4,6}:{(3,1),(11,1),(13,1),(29,1)}
        8:{1,3,4,5,7}:{(5,1),(15,1),(17,1),(37,1),(43,1)}
        9:{1,2,4,5}:{(4,1),(17,1),(18,1)}
       10:{1,2,3,5,6}:{(4,1),(6,1),(18,1),(19,1),(20,1),(39,1),(42,1),(66,1)}
       11:{1,2,4,6}:{(5,1),(6,1),(7,1),(15,1),(20,1)}
       12:{1,2,3,6,7}:{(6,1),(19,1),(21,1),(70,1),(82,1)}
       13:{2,3,5,6}:{(7,1),(20,1),(22,1),(23,1),(42,1)}
       14:{2,3,4,6,7}:{(7,1),(21,1),(23,1),(43,1),(48,1),(70,1)}
       15:{1,3,4,6}:{(8,1),(11,1),(24,1),(29,1)}
       16:{1,2,3,4}:{(26,1)}
       17:{3,4,5}:{(9,1),(29,1)}
       18:{1,2,4,6}:{(9,1),(10,1),(29,1),(31,1)}
       19:{1,2,3,5,7}:{(10,1),(12,1),(31,1),(32,1),(53,1),(58,1),(76,1)}
       20:{1,2,5,6}:{(11,1),(13,1),(24,1),(32,1)}
       21:{1,2,4,6,7}:{(11,1),(12,1),(14,1),(25,1),(31,1),(32,1)}
       22:{2,4,5,6}:{(13,1),(33,1),(34,1)}
       23:{2,3,5,7}:{(13,1),(14,1),(32,1),(34,1),(58,1)}
       24:{1,3,5,6}:{(15,1),(20,1),(36,1),(37,1),(42,1)}
       25:{1,3,4,6,7}:{(15,1),(21,1),(37,1),(43,1),(65,1),(70,1)}
       26:{1,2,3,5}:{(16,1),(38,1),(39,1)}
       27:{1,3,4,5}:{(17,1),(38,1),(40,1)}
       28:{2,3,4,5}:{(17,1),(38,1),(41,1)}
       29:{3,4,6}:{(17,1),(18,1),(42,1),(43,1)}
       30:{1,2,4,5,6}:{(18,1),(20,1),(22,1),(36,1),(42,1),(44,1),(46,1),(63,1),(66,1)}
       31:{1,2,4,7}:{(18,1),(19,1),(43,1)}
       32:{1,2,5,7}:{(20,1),(21,1),(23,1),(37,1)}
       33:{3,4,5,6}:{(22,1),(42,1),(46,1),(47,1)}
       34:{2,4,5,7}:{(22,1),(23,1),(47,1),(48,1)}
       35:{2,3,5,6,7}:{(23,1),(45,1),(48,1),(70,1),(71,1)}
       36:{1,4,5,6}:{(24,1),(49,1),(50,1)}
       37:{1,3,5,7}:{(24,1),(25,1),(32,1),(50,1),(58,1)}
       38:{1,2,4,5}:{(26,1),(27,1),(28,1),(52,1)}
       39:{1,2,3,6}:{(26,1),(52,1),(53,1)}
       40:{1,3,4,6}:{(27,1),(29,1),(52,1),(54,1),(55,1)}
       41:{2,3,4,6}:{(28,1),(29,1),(52,1),(56,1),(57,1)}
       42:{3,5,6}:{(29,1),(30,1),(58,1)}
       43:{3,4,7}:{(29,1),(31,1),(58,1)}
       44:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(34,1),(50,1),(58,1),(59,1),(61,1),(74,1),(76,1)}
       45:{1,2,5,6,7}:{(32,1),(35,1),(51,1),(59,1),(79,1),(83,1)}
       46:{1,4,5,6}:{(33,1),(54,1),(61,1)}
       47:{3,4,5,7}:{(33,1),(34,1),(58,1),(61,1),(62,1)}
       48:{2,4,6,7}:{(34,1),(35,1),(62,1)}
       49:{3,4,5,6}:{(36,1),(42,1),(63,1),(64,1)}
       50:{1,4,5,7}:{(36,1),(37,1),(64,1),(65,1)}
       51:{1,3,5,6,7}:{(37,1),(45,1),(65,1),(70,1),(80,1)}
       52:{1,2,4,6}:{(38,1),(39,1),(40,1),(41,1),(66,1),(67,1)}
       53:{1,2,3,7}:{(39,1),(67,1)}
       54:{1,3,5,6}:{(40,1),(42,1),(46,1),(66,1),(68,1)}
       55:{1,3,4,7}:{(40,1),(43,1),(67,1),(68,1)}
       56:{2,3,5,6}:{(41,1),(42,1),(63,1),(66,1),(69,1)}
       57:{2,3,4,7}:{(41,1),(43,1),(67,1),(69,1)}
       58:{3,5,7}:{(42,1),(43,1),(44,1),(70,1)}
       59:{1,2,4,6,7}:{(44,1),(45,1),(48,1),(65,1),(70,1),(72,1),(81,1),(82,1)}
       60:{2,4,5,6,7}:{(48,1),(71,1)}
       61:{1,4,5,7}:{(46,1),(47,1),(68,1),(72,1)}
       62:{3,4,6,7}:{(47,1),(48,1),(70,1),(71,1),(72,1)}
       63:{2,4,5,6}:{(49,1),(56,1),(74,1)}
       64:{3,4,5,7}:{(49,1),(50,1),(58,1),(74,1),(75,1)}
       65:{1,4,6,7}:{(50,1),(51,1),(75,1)}
       66:{1,2,5,6}:{(52,1),(54,1),(56,1),(76,1)}
       67:{1,2,4,7}:{(52,1),(53,1),(55,1),(57,1),(76,1)}
       68:{1,3,5,7}:{(54,1),(55,1),(58,1),(61,1),(76,1),(77,1)}
       69:{2,3,5,7}:{(56,1),(57,1),(58,1),(74,1),(76,1),(78,1)}
       70:{3,6,7}:{(58,1),(59,1)}
       71:{3,5,6,7}:{(60,1),(62,1),(79,1)}
       72:{1,4,6,7}:{(61,1),(62,1),(77,1),(79,1)}
       73:{1,4,5,6,7}:{(65,1),(80,1)}
       74:{2,4,5,7}:{(63,1),(64,1),(69,1),(81,1)}
       75:{3,4,6,7}:{(64,1),(65,1),(70,1),(80,1),(81,1)}
       76:{1,2,5,7}:{(66,1),(67,1),(68,1),(69,1),(82,1)}
       77:{1,3,6,7}:{(68,1),(70,1),(72,1),(82,1)}
       78:{2,3,6,7}:{(69,1),(70,1),(81,1),(82,1)}
       79:{1,5,6,7}:{(71,1),(72,1)}
       80:{3,5,6,7}:{(73,1),(75,1),(83,1)}
       81:{2,4,6,7}:{(74,1),(75,1),(78,1),(83,1)}
       82:{1,2,6,7}:{(76,1),(77,1),(78,1)}
       83:{2,5,6,7}:{(80,1),(81,1)}

2053 :   0:{2,3,4,5,7}:{(2,1),(3,1),(20,1),(57,1),(117,1),(131,1),(132,1),(171,1),(179,1),(181,1)}
         1:{2,4,5,6,7}:{(4,1),(26,1),(199,1)}
         2:{2,3,4,6}:{(0,1),(7,1),(9,1),(100,1),(190,1),(195,1),(196,1)}
         3:{1,2,4,5,7}:{(0,1),(9,1),(10,1),(37,1),(42,1),(96,1),(101,1),(102,1)}
         4:{3,5,6,7}:{(1,1),(11,1),(12,1),(206,1)}
         5:{1,3,4,5,7}:{(14,1),(15,1),(24,1),(53,1),(72,1),(133,1),(169,1),(170,1),(179,1),(200,1)}
         6:{3,4,5,6}:{(17,1),(18,1),(19,1),(68,1),(170,1),(201,1)}
         7:{2,3,5,6}:{(2,1),(19,1),(20,1),(21,1),(68,1),(117,1),(183,1)}
         8:{2,3,4,6,7}:{(2,1),(20,1),(22,1),(26,1),(74,1),(131,1),(135,1)}
         9:{1,2,4,6}:{(2,1),(3,1),(21,1),(23,1),(70,1)}
        10:{1,3,5,7}:{(3,1),(23,1),(24,1),(72,1),(179,1)}
        11:{3,4,6,7}:{(4,1),(17,1),(25,1),(26,1),(74,1),(201,1)}
        12:{1,5,6,7}:{(4,1),(25,1),(209,1)}
        13:{2,3,5,6,7}:{(4,1),(20,1),(26,1),(27,1),(74,1),(172,1)}
        14:{1,3,4,6}:{(5,1),(30,1),(32,1),(144,1),(161,1),(195,1),(207,1)}
        15:{1,2,4,5,7}:{(5,1),(32,1),(33,1),(37,1),(83,1),(96,1),(145,1),(146,1)}
        16:{1,2,3,5,7}:{(10,1),(33,1),(36,1),(37,1),(96,1)}
        17:{3,4,5,7}:{(6,1),(11,1),(39,1),(40,1),(99,1)}
        18:{1,4,5,6}:{(6,1),(38,1),(39,1),(188,1),(207,1)}
        19:{2,4,5,6}:{(6,1),(7,1),(40,1),(146,1),(190,1)}
        20:{2,3,5,7}:{(7,1),(8,1),(40,1),(42,1),(99,1),(162,1)}
        21:{1,2,5,6}:{(7,1),(9,1),(42,1),(43,1),(96,1)}
        22:{1,2,4,6,7}:{(8,1),(9,1),(42,1),(44,1),(101,1)}
        23:{1,3,6}:{(9,1),(10,1),(195,1)}
        24:{1,3,4,7}:{(10,1),(37,1),(45,1),(101,1),(154,1)}
        25:{1,4,6,7}:{(11,1),(12,1),(39,1),(46,1),(207,1)}
        26:{2,4,6,7}:{(11,1),(13,1),(40,1),(190,1)}
        27:{1,2,5,6,7}:{(12,1),(13,1),(42,1),(47,1),(48,1),(157,1),(162,1)}
        28:{1,4,5,6,7}:{(49,1),(107,1),(137,1)}
        29:{3,4,5,6}:{(50,1),(51,1),(52,1),(113,1),(132,1),(182,1)}
        30:{1,3,5,6}:{(14,1),(51,1),(53,1),(54,1),(72,1),(113,1),(209,1)}
        31:{1,3,4,6,7}:{(14,1),(53,1),(55,1),(107,1),(165,1),(169,1),(197,1)}
        32:{1,2,4,6}:{(14,1),(15,1),(54,1),(56,1),(115,1)}
        33:{2,3,5,7}:{(15,1),(56,1),(57,1),(117,1),(179,1)}
        34:{2,3,4,5}:{(58,1),(59,1),(124,1),(170,1),(178,1)}
        35:{1,3,4,5}:{(60,1),(61,1),(121,1),(132,1),(176,1)}
        36:{1,2,3,6}:{(16,1),(23,1),(56,1),(64,1)}
        37:{1,2,4,7}:{(16,1),(24,1),(57,1),(64,1)}
        38:{1,3,5,6}:{(18,1),(60,1),(65,1),(66,1),(68,1),(176,1),(203,1)}
        39:{1,4,5,7}:{(17,1),(18,1),(25,1),(65,1)}
        40:{2,4,5,7}:{(17,1),(19,1),(20,1),(26,1)}
        41:{1,2,4,5,6}:{(18,1),(19,1),(21,1),(66,1),(67,1),(68,1),(70,1),(127,1),(130,1),(137,1),(180,1),(183,1)}
        42:{1,2,5,7}:{(20,1),(21,1),(22,1),(69,1)}
        43:{1,3,5,6}:{(21,1),(23,1),(68,1),(69,1),(70,1),(72,1)}
        44:{1,3,6,7}:{(22,1),(23,1),(69,1),(74,1)}
        45:{1,3,4,6}:{(23,1),(24,1),(64,1),(70,1),(72,1),(125,1)}
        46:{1,3,6,7}:{(25,1),(65,1),(73,1),(74,1),(203,1)}
        47:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(67,1),(73,1),(74,1),(75,1),(135,1),(180,1)}
        48:{1,3,5,6,7}:{(27,1),(69,1),(74,1),(75,1),(134,1),(136,1)}
        49:{3,5,6,7}:{(28,1),(76,1),(78,1),(163,1)}
        50:{3,4,5,7}:{(29,1),(76,1),(80,1),(81,1),(143,1)}
        51:{1,4,5,6}:{(29,1),(30,1),(80,1),(102,1),(161,1)}
        52:{2,4,5,6}:{(29,1),(79,1),(81,1),(159,1),(196,1)}
        53:{1,3,5,7}:{(30,1),(31,1),(80,1),(83,1),(143,1),(205,1)}
        54:{1,2,5,6}:{(30,1),(32,1),(83,1),(84,1),(96,1)}
        55:{1,2,4,6,7}:{(31,1),(32,1),(83,1),(85,1),(145,1)}
        56:{2,3,6}:{(32,1),(33,1),(195,1)}
        57:{2,3,4,7}:{(33,1),(37,1),(86,1),(145,1),(154,1)}
        58:{2,3,4,6}:{(34,1),(79,1),(87,1),(88,1),(144,1)}
        59:{1,2,4,5}:{(34,1),(88,1),(89,1),(149,1),(188,1),(192,1)}
        60:{1,3,4,6}:{(35,1),(38,1),(90,1),(91,1),(100,1)}
        61:{1,2,4,5}:{(35,1),(91,1),(92,1),(149,1),(159,1),(192,1)}
        62:{1,2,3,5,6}:{(36,1),(43,1),(84,1),(93,1),(94,1),(96,1),(98,1),(142,1),(148,1),(155,1),(157,1),(192,1),(195,1),(208,1)}
        63:{1,2,3,6,7}:{(36,1),(44,1),(85,1),(93,1),(95,1),(104,1),(184,1),(195,1),(208,1)}
        64:{1,2,4,6}:{(36,1),(37,1),(45,1),(86,1),(96,1)}
        65:{1,3,5,7}:{(38,1),(39,1),(46,1),(90,1),(97,1),(99,1)}
        66:{1,2,5,6}:{(38,1),(91,1),(97,1),(98,1),(192,1),(208,1)}
        67:{1,2,4,5,7}:{(39,1),(40,1),(41,1),(42,1),(47,1),(97,1),(99,1),(101,1),(106,1),(158,1),(162,1)}
        68:{3,5,6}:{(41,1),(99,1),(100,1),(155,1),(195,1)}
        69:{1,3,5,7}:{(42,1),(43,1),(44,1),(99,1),(101,1)}
        70:{1,4,6}:{(43,1),(100,1),(101,1),(102,1)}
        71:{1,3,4,6,7}:{(44,1),(45,1),(95,1),(101,1),(103,1),(105,1),(154,1),(161,1),(195,1)}
        72:{1,3,5}:{(45,1),(96,1),(102,1),(155,1)}
        73:{1,2,6,7}:{(46,1),(97,1),(104,1),(208,1)}
        74:{3,6,7}:{(47,1),(99,1),(195,1)}
        75:{1,4,6,7}:{(48,1),(101,1),(105,1),(106,1),(161,1)}
        76:{3,4,6,7}:{(49,1),(50,1),(107,1),(108,1),(165,1),(182,1)}
        77:{1,3,5,6,7}:{(49,1),(53,1),(107,1),(109,1),(134,1),(165,1)}
        78:{2,5,6,7}:{(49,1),(108,1),(183,1)}
        79:{2,3,5,6}:{(52,1),(58,1),(110,1),(111,1),(113,1),(178,1),(204,1)}
        80:{1,4,5,7}:{(50,1),(51,1),(53,1),(107,1)}
        81:{2,4,5,7}:{(50,1),(52,1),(108,1),(110,1)}
        82:{1,2,4,5,6}:{(51,1),(52,1),(54,1),(111,1),(112,1),(113,1),(115,1),(127,1),(168,1),(180,1),(199,1),(209,1)}
        83:{1,2,5,7}:{(53,1),(54,1),(55,1),(114,1)}
        84:{2,3,5,6}:{(54,1),(56,1),(113,1),(114,1),(115,1),(117,1)}
        85:{2,3,6,7}:{(55,1),(56,1),(114,1),(165,1)}
        86:{2,3,4,6}:{(56,1),(57,1),(64,1),(115,1),(117,1),(125,1)}
        87:{2,3,4,7}:{(58,1),(110,1),(119,1),(169,1)}
        88:{1,2,4,6}:{(58,1),(59,1),(111,1),(119,1),(120,1),(168,1)}
        89:{1,3,5}:{(59,1),(120,1),(121,1)}
        90:{1,3,4,7}:{(60,1),(65,1),(122,1),(131,1)}
        91:{1,2,4,6}:{(60,1),(61,1),(66,1),(122,1),(123,1),(130,1)}
        92:{2,3,5}:{(61,1),(123,1),(124,1)}
        93:{1,2,3,5,7}:{(62,1),(63,1),(69,1),(114,1),(126,1),(128,1),(129,1),(167,1),(173,1),(179,1),(202,1)}
        94:{1,2,4,6}:{(62,1),(70,1),(115,1),(125,1),(126,1),(127,1),(130,1),(168,1)}
        95:{1,2,4,6,7}:{(63,1),(64,1),(71,1),(116,1),(126,1),(128,1),(135,1),(180,1),(197,1)}
        96:{1,2,5}:{(64,1),(72,1),(117,1)}
        97:{1,2,5,7}:{(65,1),(66,1),(73,1),(122,1),(129,1)}
        98:{2,3,5,6}:{(66,1),(68,1),(123,1),(129,1),(130,1),(178,1),(183,1),(204,1)}
        99:{3,5,7}:{(67,1),(68,1),(74,1),(131,1)}
       100:{3,4,6}:{(68,1),(70,1),(130,1),(131,1),(132,1)}
       101:{1,4,7}:{(69,1),(70,1),(131,1)}
       102:{1,4,5}:{(70,1),(72,1),(132,1)}
       103:{1,3,5,7}:{(71,1),(72,1),(128,1),(133,1),(134,1),(136,1),(179,1)}
       104:{2,3,6,7}:{(73,1),(74,1),(129,1),(135,1),(204,1)}
       105:{3,4,6,7}:{(74,1),(75,1),(131,1),(135,1),(136,1),(182,1)}
       106:{1,4,5,7}:{(75,1),(136,1),(137,1)}
       107:{1,4,6,7}:{(76,1),(77,1),(80,1),(161,1)}
       108:{2,4,6,7}:{(76,1),(78,1),(81,1),(138,1),(196,1)}
       109:{1,2,5,6,7}:{(77,1),(78,1),(83,1),(139,1),(140,1),(157,1),(205,1)}
       110:{2,3,5,7}:{(79,1),(81,1),(87,1),(138,1),(141,1),(143,1)}
       111:{1,2,5,6}:{(79,1),(88,1),(141,1),(142,1),(192,1),(208,1)}
       112:{1,2,4,5,7}:{(80,1),(81,1),(82,1),(83,1),(139,1),(141,1),(143,1),(145,1),(186,1),(187,1),(205,1)}
       113:{3,5,6}:{(82,1),(143,1),(144,1),(155,1),(195,1)}
       114:{2,3,5,7}:{(83,1),(84,1),(85,1),(143,1),(145,1)}
       115:{2,4,6}:{(84,1),(144,1),(145,1),(146,1)}
       116:{2,3,4,6,7}:{(85,1),(86,1),(95,1),(145,1),(147,1),(154,1),(185,1),(190,1),(195,1)}
       117:{2,3,5}:{(86,1),(96,1),(146,1),(155,1)}
       118:{1,2,3,5}:{(89,1),(92,1),(148,1),(149,1),(192,1)}
       119:{1,2,4,7}:{(87,1),(88,1),(141,1),(150,1),(187,1)}
       120:{1,3,6}:{(88,1),(89,1),(150,1)}
       121:{1,3,4}:{(89,1),(149,1)}
       122:{1,2,4,7}:{(90,1),(91,1),(97,1),(152,1),(158,1)}
       123:{2,3,6}:{(91,1),(92,1),(152,1)}
       124:{2,3,4}:{(92,1),(149,1)}
       125:{3,4,6}:{(94,1),(154,1),(155,1),(195,1)}
       126:{1,2,4,7}:{(93,1),(94,1),(101,1),(145,1),(154,1),(158,1),(187,1)}
       127:{1,2,4,5}:{(94,1),(96,1),(102,1),(146,1),(155,1),(159,1),(188,1),(192,1)}
       128:{1,2,5,7}:{(95,1),(96,1),(103,1),(147,1),(157,1),(162,1),(205,1)}
       129:{2,3,5,7}:{(97,1),(98,1),(99,1),(104,1),(152,1),(158,1),(162,1)}
       130:{2,4,6}:{(98,1),(100,1),(158,1),(159,1)}
       131:{3,4,7}:{(99,1),(100,1),(101,1),(158,1)}
       132:{3,4,5}:{(100,1),(102,1),(155,1),(159,1)}
       133:{1,4,5,7}:{(101,1),(102,1),(103,1),(160,1),(161,1)}
       134:{1,3,5,6}:{(103,1),(157,1),(161,1),(163,1),(195,1)}
       135:{2,4,6,7}:{(104,1),(105,1),(158,1),(162,1),(196,1)}
       136:{3,5,7}:{(105,1),(106,1),(162,1),(163,1)}
       137:{1,4,5,6}:{(106,1),(161,1),(163,1)}
       138:{2,3,6,7}:{(108,1),(110,1),(164,1),(165,1),(204,1)}
       139:{1,2,4,6,7}:{(107,1),(108,1),(109,1),(112,1),(164,1),(165,1),(166,1),(180,1),(197,1)}
       140:{2,3,5,6,7}:{(109,1),(114,1),(165,1),(166,1),(172,1),(198,1)}
       141:{1,2,5,7}:{(110,1),(111,1),(119,1),(164,1),(167,1)}
       142:{1,3,5,6}:{(111,1),(113,1),(120,1),(167,1),(168,1),(176,1),(203,1),(209,1)}
       143:{3,5,7}:{(112,1),(113,1),(165,1),(169,1)}
       144:{3,4,6}:{(113,1),(115,1),(168,1),(169,1),(170,1)}
       145:{2,4,7}:{(114,1),(115,1),(169,1)}
       146:{2,4,5}:{(115,1),(117,1),(170,1)}
       147:{2,3,5,7}:{(116,1),(117,1),(128,1),(171,1),(172,1),(179,1),(198,1)}
       148:{1,2,3,6}:{(118,1),(120,1),(123,1),(173,1),(174,1)}
       149:{1,2,4}:{(118,1),(121,1),(124,1)}
       150:{1,3,7}:{(119,1),(120,1)}
       151:{1,3,4,6}:{(120,1),(121,1),(125,1),(168,1),(174,1),(175,1),(176,1),(203,1)}
       152:{2,3,7}:{(122,1),(123,1)}
       153:{2,3,4,6}:{(123,1),(124,1),(125,1),(130,1),(174,1),(177,1),(178,1),(204,1)}
       154:{3,4,7}:{(125,1),(126,1),(179,1)}
       155:{3,5}:{(125,1),(127,1)}
       156:{1,2,4,5,7}:{(126,1),(127,1),(128,1),(133,1),(171,1),(179,1),(180,1),(181,1),(200,1),(202,1)}
       157:{1,2,5,6}:{(128,1),(134,1),(172,1),(180,1),(183,1),(209,1)}
       158:{2,4,7}:{(129,1),(130,1),(131,1)}
       159:{2,4,5}:{(130,1),(132,1),(178,1)}
       160:{3,4,5,7}:{(131,1),(132,1),(133,1),(136,1),(179,1),(181,1),(182,1)}
       161:{1,4,6}:{(133,1),(134,1),(182,1)}
       162:{2,5,7}:{(135,1),(136,1),(183,1)}
       163:{3,5,6}:{(136,1),(137,1),(182,1),(183,1)}
       164:{1,2,6,7}:{(138,1),(141,1),(184,1),(208,1)}
       165:{3,6,7}:{(139,1),(143,1),(195,1)}
       166:{2,4,6,7}:{(140,1),(145,1),(185,1),(186,1),(190,1)}
       167:{1,3,5,7}:{(141,1),(142,1),(143,1),(150,1),(184,1),(187,1),(205,1)}
       168:{1,4,6}:{(142,1),(144,1),(187,1),(188,1)}
       169:{3,4,7}:{(143,1),(144,1),(145,1),(187,1)}
       170:{3,4,5}:{(144,1),(146,1),(155,1),(188,1)}
       171:{2,4,5,7}:{(145,1),(146,1),(147,1),(189,1),(190,1)}
       172:{2,3,5,6}:{(147,1),(157,1),(190,1),(195,1),(206,1)}
       173:{1,2,3,7}:{(148,1),(150,1),(152,1),(191,1)}
       174:{1,2,4,6}:{(148,1),(149,1),(151,1),(153,1),(191,1),(192,1),(208,1)}
       175:{1,3,4,7}:{(150,1),(151,1),(154,1),(187,1),(191,1),(193,1)}
       176:{1,3,5}:{(151,1),(155,1),(188,1),(192,1)}
       177:{2,3,4,7}:{(152,1),(153,1),(154,1),(158,1),(191,1),(194,1)}
       178:{2,3,5}:{(153,1),(155,1),(159,1),(192,1)}
       179:{3,5,7}:{(154,1),(155,1),(156,1),(195,1)}
       180:{1,2,4,6}:{(156,1),(157,1),(161,1),(190,1),(195,1),(196,1),(207,1),(208,1)}
       181:{2,4,5,7}:{(158,1),(159,1),(160,1),(162,1),(194,1),(196,1)}
       182:{3,4,6}:{(160,1),(161,1),(163,1),(195,1),(196,1)}
       183:{2,5,6}:{(162,1),(163,1),(196,1)}
       184:{1,3,6,7}:{(164,1),(165,1),(167,1),(197,1),(203,1)}
       185:{3,4,6,7}:{(165,1),(166,1),(169,1),(197,1),(198,1),(201,1)}
       186:{2,4,5,7}:{(166,1),(198,1),(199,1)}
       187:{1,4,7}:{(167,1),(168,1),(169,1)}
       188:{1,4,5}:{(168,1),(170,1),(176,1)}
       189:{3,4,5,7}:{(169,1),(170,1),(171,1),(179,1),(198,1),(200,1),(201,1)}
       190:{2,4,6}:{(171,1),(172,1),(201,1)}
       191:{1,2,4,7}:{(173,1),(174,1),(175,1),(177,1),(202,1)}
       192:{1,2,5}:{(174,1),(176,1),(178,1)}
       193:{1,3,5,7}:{(175,1),(176,1),(179,1),(200,1),(202,1),(203,1)}
       194:{2,3,5,7}:{(177,1),(178,1),(179,1),(181,1),(202,1),(204,1)}
       195:{3,6}:{(179,1),(180,1)}
       196:{2,4,6}:{(181,1),(182,1),(183,1),(204,1)}
       197:{1,4,6,7}:{(184,1),(185,1),(187,1),(205,1),(207,1)}
       198:{3,5,7}:{(185,1),(186,1),(205,1),(206,1)}
       199:{2,4,5,6}:{(186,1),(190,1),(206,1)}
       200:{1,4,5,7}:{(187,1),(188,1),(189,1),(193,1),(205,1),(207,1)}
       201:{3,4,6}:{(189,1),(190,1),(195,1),(206,1),(207,1)}
       202:{1,2,5,7}:{(191,1),(192,1),(193,1),(194,1),(208,1)}
       203:{1,3,6}:{(193,1),(195,1),(207,1),(208,1)}
       204:{2,3,6}:{(194,1),(195,1),(196,1),(208,1)}
       205:{1,5,7}:{(197,1),(198,1),(209,1)}
       206:{3,5,6}:{(198,1),(199,1),(201,1),(209,1)}
       207:{1,4,6}:{(200,1),(201,1),(203,1),(209,1)}
       208:{1,2,6}:{(202,1),(203,1),(204,1)}
       209:{1,5,6}:{(205,1),(206,1),(207,1)}

2054 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{1,3,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{1,3,4,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,2,4,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{1,3,4,5,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,4,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,2,4,5,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{1,3,4,5,6}:{(6,1),(12,1),(27,1)}
       10:{1,2,3,4,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,3,5,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6}:{(8,1),(9,1),(16,1),(23,1)}
       13:{1,3,4,5,6,7}:{(9,1),(17,1),(32,1)}
       14:{1,2,3,5,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,5,7}:{(11,1),(18,1),(20,1)}
       16:{2,3,5,6}:{(11,1),(12,1),(20,1)}
       17:{1,2,4,5,6,7}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,2,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(14,1),(16,1),(23,1),(31,1)}
       20:{2,3,4,6}:{(15,1),(16,1),(23,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(26,1)}
       22:{1,3,4,5,7}:{(18,1),(27,1),(34,1)}
       23:{1,2,4,6}:{(18,1),(19,1),(20,1),(27,1)}
       24:{1,2,3,5,6,7}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,6}:{(20,1),(28,1),(30,1)}
       26:{2,3,4,6,7}:{(20,1),(21,1),(29,1),(30,1)}
       27:{1,3,4,6}:{(22,1),(23,1),(31,1)}
       28:{1,2,4,5,6}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,5,7}:{(25,1),(26,1),(33,1)}
       31:{1,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{1,3,4,6,7}:{(27,1),(29,1),(34,1)}
       33:{1,2,4,5,7}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,3,5,7}:{(31,1),(32,1),(33,1)}

2055 :   0:{1,3,4,5,6}:{(2,1),(3,1),(32,1),(61,1),(71,1)}
         1:{1,2,3,4,6}:{(4,1),(5,1),(21,1),(23,1)}
         2:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(21,1),(49,1),(55,1)}
         3:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(47,1),(78,1),(90,1)}
         4:{1,2,3,4,7}:{(1,1),(12,1),(35,1)}
         5:{1,2,3,5}:{(1,1),(10,1)}
         6:{2,3,4,5}:{(10,1),(15,1)}
         7:{2,3,5,6}:{(2,1),(15,1),(16,1)}
         8:{1,2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(35,1),(65,1),(72,1)}
         9:{1,3,4,6,7}:{(3,1),(17,1),(18,1),(73,1)}
        10:{1,2,4,5}:{(5,1),(6,1),(19,1),(21,1)}
        11:{1,2,3,4,6,7}:{(4,1),(22,1),(23,1),(50,1),(52,1),(82,1),(86,1),(120,1),(121,1)}
        12:{1,2,3,5,7}:{(4,1),(5,1),(20,1),(23,1)}
        13:{1,2,3,5,6}:{(5,1),(7,1),(21,1),(23,1),(24,1),(45,1),(49,1)}
        14:{2,3,4,5,7}:{(6,1),(20,1),(26,1),(27,1),(51,1),(56,1)}
        15:{2,3,4,6}:{(6,1),(7,1),(21,1),(27,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(27,1),(28,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(28,1),(29,1),(57,1)}
        18:{1,3,5,6,7}:{(9,1),(29,1),(30,1),(58,1),(78,1)}
        19:{1,3,4,5}:{(10,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(12,1),(14,1),(31,1),(34,1),(35,1),(65,1)}
        21:{1,2,4,6}:{(10,1),(13,1),(15,1),(32,1),(35,1)}
        22:{1,2,3,5,7}:{(11,1),(36,1),(37,1),(65,1),(101,1),(135,1)}
        23:{1,2,3,6}:{(12,1),(34,1)}
        24:{1,2,3,5,7}:{(13,1),(16,1),(35,1),(38,1),(60,1),(65,1)}
        25:{2,3,4,5,6}:{(15,1),(33,1),(39,1),(40,1),(95,1)}
        26:{2,3,4,6}:{(14,1),(34,1),(40,1),(68,1)}
        27:{2,3,4,7}:{(15,1),(16,1),(35,1)}
        28:{2,3,6,7}:{(16,1),(17,1)}
        29:{1,2,5,6,7}:{(17,1),(18,1),(42,1),(65,1)}
        30:{1,4,5,6,7}:{(18,1),(44,1),(96,1)}
        31:{1,3,4,5,7}:{(19,1),(20,1),(46,1),(47,1),(51,1),(78,1)}
        32:{1,3,4,6}:{(19,1),(21,1),(45,1),(47,1)}
        33:{1,2,4,5,6}:{(21,1),(25,1),(45,1),(48,1),(49,1),(77,1)}
        34:{1,2,4,6}:{(20,1),(23,1),(26,1),(46,1),(49,1)}
        35:{1,2,4,7}:{(21,1),(24,1),(27,1),(47,1)}
        36:{1,2,4,5,7}:{(22,1),(51,1),(52,1)}
        37:{1,2,3,5,6}:{(22,1),(23,1),(49,1),(52,1),(80,1),(117,1),(120,1)}
        38:{1,2,3,6,7}:{(23,1),(24,1),(28,1),(50,1),(76,1)}
        39:{2,3,4,5,7}:{(25,1),(27,1),(48,1),(54,1),(56,1),(114,1)}
        40:{2,3,5,6}:{(26,1),(49,1),(55,1),(56,1),(80,1)}
        41:{2,3,4,6,7}:{(26,1),(27,1),(28,1),(50,1),(56,1),(57,1),(86,1)}
        42:{2,3,5,6,7}:{(28,1),(29,1),(56,1),(57,1),(58,1)}
        43:{1,2,4,5,6,7}:{(29,1),(30,1),(57,1),(58,1),(59,1),(81,1),(92,1),(93,1)}
        44:{3,4,5,6,7}:{(30,1),(58,1),(59,1),(114,1)}
        45:{1,3,5,6}:{(32,1),(33,1),(60,1)}
        46:{1,3,4,6}:{(31,1),(34,1),(61,1),(68,1)}
        47:{1,3,4,7}:{(32,1),(35,1),(60,1)}
        48:{1,2,4,5,7}:{(33,1),(35,1),(39,1),(60,1),(63,1),(65,1),(96,1)}
        49:{1,2,5,6}:{(34,1),(40,1),(61,1),(65,1)}
        50:{1,2,4,6,7}:{(34,1),(35,1),(38,1),(41,1),(62,1),(65,1)}
        51:{3,4,5,7}:{(36,1),(68,1),(101,1)}
        52:{1,2,4,6}:{(36,1),(37,1),(68,1)}
        53:{1,2,3,5,6,7}:{(37,1),(38,1),(42,1),(65,1),(69,1),(75,1),(94,1),(101,1),(131,1),(135,1),(136,1)}
        54:{2,3,4,6,7}:{(39,1),(63,1),(70,1),(127,1)}
        55:{2,4,5,6}:{(40,1),(71,1),(72,1)}
        56:{2,3,5,7}:{(40,1),(41,1),(65,1),(72,1),(101,1)}
        57:{2,4,6,7}:{(42,1),(72,1),(73,1)}
        58:{3,5,6,7}:{(43,1),(73,1),(101,1)}
        59:{2,4,5,6,7}:{(44,1),(74,1),(129,1)}
        60:{1,3,5,7}:{(45,1),(47,1),(48,1),(76,1)}
        61:{1,3,5,6}:{(46,1),(49,1),(77,1),(78,1),(80,1)}
        62:{1,3,4,6,7}:{(46,1),(47,1),(50,1),(76,1),(78,1),(86,1),(111,1)}
        63:{1,2,4,6,7}:{(48,1),(54,1),(76,1),(79,1),(111,1)}
        64:{1,2,4,5,6}:{(49,1),(52,1),(55,1),(77,1),(80,1),(81,1),(89,1),(112,1),(117,1)}
        65:{1,2,5,7}:{(49,1),(50,1),(56,1),(78,1)}
        66:{2,3,4,5,7}:{(51,1),(83,1),(84,1),(118,1),(141,1),(153,1)}
        67:{1,3,4,5,7}:{(51,1),(83,1),(85,1),(119,1),(123,1),(147,1)}
        68:{3,4,6}:{(51,1),(52,1),(80,1)}
        69:{1,2,4,6,7}:{(52,1),(53,1),(57,1),(81,1),(86,1),(92,1),(111,1),(139,1)}
        70:{2,3,5,6,7}:{(54,1),(56,1),(79,1),(87,1),(115,1)}
        71:{3,4,5,6}:{(55,1),(80,1),(89,1),(90,1)}
        72:{2,4,5,7}:{(55,1),(56,1),(57,1),(90,1)}
        73:{3,4,6,7}:{(57,1),(58,1),(90,1),(92,1)}
        74:{2,3,5,6,7}:{(58,1),(59,1),(91,1),(93,1),(118,1)}
        75:{1,3,5,6,7}:{(58,1),(92,1),(93,1),(119,1),(126,1)}
        76:{1,3,6,7}:{(60,1),(63,1)}
        77:{1,4,5,6}:{(61,1),(95,1),(96,1)}
        78:{1,3,5,7}:{(61,1),(62,1),(65,1),(96,1),(101,1)}
        79:{1,2,5,6,7}:{(63,1),(65,1),(70,1),(94,1)}
        80:{3,5,6}:{(64,1),(68,1),(101,1)}
        81:{1,2,4,5,7}:{(64,1),(65,1),(69,1),(72,1),(96,1),(101,1),(109,1),(129,1),(135,1)}
        82:{1,2,3,4,7}:{(98,1),(102,1),(151,1)}
        83:{1,2,4,5,7}:{(66,1),(67,1),(102,1),(103,1),(133,1),(135,1),(151,1)}
        84:{2,3,4,6}:{(66,1),(68,1),(99,1),(103,1)}
        85:{1,3,4,6}:{(67,1),(68,1),(100,1),(103,1)}
        86:{3,4,6,7}:{(68,1),(69,1),(101,1)}
        87:{2,4,5,6,7}:{(70,1),(72,1),(106,1)}
        88:{2,3,4,5,6}:{(71,1),(99,1),(107,1),(108,1),(149,1)}
        89:{1,4,5,6}:{(71,1),(100,1),(109,1)}
        90:{3,4,5,7}:{(71,1),(72,1),(73,1),(101,1),(109,1)}
        91:{2,3,4,6,7}:{(73,1),(74,1),(108,1),(110,1)}
        92:{1,4,6,7}:{(73,1),(75,1),(109,1)}
        93:{1,2,5,6,7}:{(74,1),(75,1),(110,1),(135,1)}
        94:{1,3,5,6,7}:{(76,1),(78,1),(79,1),(111,1),(115,1)}
        95:{3,4,5,6}:{(77,1),(80,1),(112,1),(114,1)}
        96:{1,4,5,7}:{(77,1),(78,1),(111,1),(114,1)}
        97:{1,2,4,5,6,7}:{(79,1),(81,1),(87,1),(111,1),(115,1),(122,1),(139,1),(144,1)}
        98:{1,2,3,4,6}:{(82,1),(116,1),(120,1),(145,1)}
        99:{2,3,5,6}:{(80,1),(84,1),(112,1),(117,1),(118,1)}
       100:{1,3,5,6}:{(80,1),(85,1),(89,1),(117,1),(119,1)}
       101:{3,5,7}:{(80,1),(81,1),(86,1)}
       102:{1,2,3,5,7}:{(82,1),(83,1),(116,1),(120,1)}
       103:{1,2,4,6}:{(83,1),(84,1),(85,1),(117,1),(120,1)}
       104:{2,3,4,6,7}:{(84,1),(86,1),(118,1),(121,1),(139,1),(152,1),(153,1)}
       105:{1,3,4,6,7}:{(85,1),(86,1),(92,1),(119,1),(121,1),(126,1),(147,1)}
       106:{3,4,5,6,7}:{(87,1),(90,1),(115,1),(122,1)}
       107:{1,2,4,5,6}:{(88,1),(89,1),(117,1),(124,1),(125,1),(145,1)}
       108:{2,3,4,5,7}:{(88,1),(90,1),(91,1),(118,1),(125,1),(153,1)}
       109:{1,4,5,7}:{(89,1),(90,1),(92,1),(119,1)}
       110:{1,2,4,6,7}:{(91,1),(92,1),(93,1),(125,1),(126,1)}
       111:{1,4,6,7}:{(94,1),(96,1),(127,1)}
       112:{2,4,5,6}:{(95,1),(99,1),(129,1)}
       113:{1,3,4,5,6}:{(95,1),(100,1),(128,1),(130,1),(137,1)}
       114:{3,4,5,7}:{(95,1),(96,1),(101,1),(127,1),(129,1)}
       115:{3,5,6,7}:{(97,1),(101,1),(127,1)}
       116:{1,2,3,5}:{(98,1),(133,1)}
       117:{1,2,5,6}:{(99,1),(100,1),(103,1),(135,1)}
       118:{2,3,5,7}:{(99,1),(101,1),(104,1),(129,1),(135,1)}
       119:{1,3,5,7}:{(100,1),(101,1),(105,1),(109,1),(135,1)}
       120:{1,2,3,6}:{(102,1),(103,1)}
       121:{1,2,4,6,7}:{(103,1),(104,1),(105,1),(135,1),(136,1),(151,1)}
       122:{1,4,5,6,7}:{(106,1),(109,1),(132,1)}
       123:{1,3,4,5}:{(133,1),(137,1)}
       124:{1,3,5,6}:{(107,1),(137,1),(138,1)}
       125:{1,2,4,5,7}:{(107,1),(108,1),(109,1),(110,1),(135,1),(138,1),(151,1)}
       126:{1,3,6,7}:{(110,1),(138,1)}
       127:{3,4,6,7}:{(111,1),(114,1),(115,1),(139,1)}
       128:{1,2,4,5,6}:{(112,1),(113,1),(117,1),(142,1),(143,1),(145,1)}
       129:{2,4,5,7}:{(112,1),(114,1),(118,1),(139,1)}
       130:{1,3,4,5,7}:{(113,1),(114,1),(119,1),(140,1),(143,1),(147,1)}
       131:{2,3,5,6,7}:{(115,1),(118,1),(139,1),(144,1),(152,1)}
       132:{1,3,5,6,7}:{(115,1),(119,1),(122,1),(140,1),(144,1)}
       133:{1,2,4,5}:{(116,1),(123,1),(141,1),(145,1)}
       134:{1,2,3,5,6}:{(116,1),(117,1),(120,1),(124,1),(142,1),(145,1),(146,1)}
       135:{1,2,5,7}:{(117,1),(118,1),(119,1),(121,1)}
       136:{1,2,3,6,7}:{(120,1),(121,1),(126,1),(146,1),(152,1)}
       137:{1,3,4,6}:{(123,1),(124,1),(145,1),(147,1)}
       138:{1,3,5,7}:{(124,1),(125,1),(126,1),(147,1)}
       139:{2,4,6,7}:{(127,1),(129,1),(131,1)}
       140:{1,3,4,6,7}:{(127,1),(130,1),(132,1),(148,1)}
       141:{2,3,4,5}:{(133,1),(149,1)}
       142:{2,3,5,6}:{(128,1),(149,1),(150,1)}
       143:{1,2,4,5,7}:{(128,1),(129,1),(130,1),(135,1),(148,1),(150,1),(151,1)}
       144:{1,2,5,6,7}:{(131,1),(132,1),(135,1),(148,1)}
       145:{1,2,4,6}:{(133,1),(134,1),(137,1),(149,1),(151,1)}
       146:{1,2,3,5,7}:{(134,1),(135,1),(136,1),(138,1),(150,1),(151,1)}
       147:{1,3,4,7}:{(137,1),(138,1),(151,1)}
       148:{1,2,4,6,7}:{(139,1),(140,1),(143,1),(144,1),(152,1)}
       149:{2,3,4,6}:{(141,1),(142,1),(145,1),(153,1)}
       150:{2,3,5,7}:{(142,1),(143,1),(152,1),(153,1)}
       151:{1,2,4,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{2,3,6,7}:{(148,1),(150,1)}
       153:{2,3,4,7}:{(149,1),(150,1),(151,1)}

2056 :   0:{1,3,4,5,6}:{(1,1),(2,1),(20,1),(68,1),(75,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(30,1),(55,1),(62,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(60,1),(63,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(50,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(47,1),(51,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(31,1),(56,1),(60,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(37,1),(80,1)}
         8:{1,3,5,6,7}:{(3,1),(14,1),(16,1),(37,1),(55,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(38,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{2,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(44,1),(47,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(8,1),(67,1)}
        15:{2,4,5,6,7}:{(7,1),(24,1),(91,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(47,1)}
        17:{2,3,6,7}:{(9,1),(10,1)}
        18:{2,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{2,3,4,5}:{(11,1),(23,1)}
        20:{1,3,4,6}:{(13,1),(30,1),(31,1),(56,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(34,1),(56,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(30,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(31,1)}
        24:{2,3,5,6,7}:{(15,1),(32,1),(36,1),(37,1),(84,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(36,1),(37,1),(38,1),(59,1),(61,1)}
        26:{2,3,5,6,7}:{(16,1),(17,1),(37,1),(38,1),(39,1)}
        27:{2,3,4,6,7}:{(17,1),(18,1),(34,1),(38,1),(39,1),(40,1),(58,1)}
        28:{2,3,4,5,7}:{(18,1),(19,1),(35,1),(39,1),(40,1),(80,1)}
        29:{2,3,4,5,6}:{(41,1),(42,1),(75,1),(87,1),(95,1)}
        30:{1,3,4,7}:{(20,1),(22,1),(44,1)}
        31:{1,3,5}:{(20,1),(23,1)}
        32:{2,3,4,6,7}:{(24,1),(41,1),(45,1),(50,1)}
        33:{1,2,3,5,6,7}:{(21,1),(26,1),(46,1),(47,1),(49,1),(68,1),(69,1),(72,1),(93,1),(95,1)}
        34:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(43,1),(47,1),(48,1)}
        35:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(44,1),(47,1),(48,1),(67,1)}
        36:{1,2,5,6,7}:{(24,1),(45,1),(49,1),(93,1)}
        37:{3,5,6,7}:{(25,1),(50,1),(72,1)}
        38:{2,4,6,7}:{(26,1),(50,1),(51,1)}
        39:{2,3,5,7}:{(27,1),(47,1),(51,1),(52,1),(72,1)}
        40:{2,3,4,6}:{(28,1),(48,1),(52,1),(92,1)}
        41:{2,3,4,5,7}:{(29,1),(32,1),(53,1),(62,1),(84,1),(96,1)}
        42:{1,2,4,5,6}:{(29,1),(53,1),(54,1),(77,1),(86,1),(101,1)}
        43:{1,3,4,6,7}:{(30,1),(34,1),(55,1),(56,1),(58,1),(81,1)}
        44:{1,3,5,7}:{(30,1),(31,1),(35,1),(56,1)}
        45:{1,2,4,6,7}:{(32,1),(36,1),(53,1),(57,1),(61,1)}
        46:{1,2,4,6,7}:{(33,1),(38,1),(58,1),(59,1),(61,1),(81,1),(100,1)}
        47:{1,2,5,7}:{(34,1),(39,1),(55,1),(60,1)}
        48:{1,2,4,6}:{(35,1),(40,1),(56,1),(60,1),(81,1)}
        49:{1,3,5,6,7}:{(36,1),(37,1),(57,1),(61,1),(83,1)}
        50:{3,4,6,7}:{(37,1),(38,1),(61,1),(62,1)}
        51:{2,4,5,7}:{(38,1),(39,1),(62,1),(63,1)}
        52:{2,3,5,6}:{(39,1),(40,1),(60,1),(63,1),(85,1)}
        53:{1,2,4,5,7}:{(41,1),(42,1),(45,1),(65,1),(74,1),(88,1),(93,1)}
        54:{1,3,5,6}:{(42,1),(65,1),(66,1)}
        55:{1,3,5,7}:{(43,1),(47,1),(67,1),(68,1),(72,1)}
        56:{1,3,6}:{(44,1),(48,1)}
        57:{1,3,6,7}:{(45,1),(65,1)}
        58:{3,4,6,7}:{(46,1),(72,1),(92,1)}
        59:{1,2,4,5,7}:{(46,1),(47,1),(51,1),(67,1),(72,1),(73,1),(74,1),(91,1),(93,1)}
        60:{1,2,5,6}:{(47,1),(48,1),(52,1),(68,1)}
        61:{1,4,6,7}:{(49,1),(50,1),(74,1)}
        62:{3,4,5,7}:{(50,1),(51,1),(72,1),(74,1),(75,1)}
        63:{2,4,5,6}:{(51,1),(52,1),(75,1)}
        64:{1,2,3,5,6}:{(54,1),(76,1),(77,1),(97,1),(101,1),(104,1)}
        65:{1,3,5,7}:{(53,1),(54,1),(57,1),(78,1)}
        66:{1,3,4,6}:{(54,1),(77,1),(78,1),(79,1)}
        67:{1,4,5,7}:{(55,1),(80,1),(81,1)}
        68:{1,3,5,6}:{(55,1),(56,1),(60,1),(81,1),(85,1)}
        69:{1,2,3,6,7}:{(57,1),(76,1),(82,1),(104,1)}
        70:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(78,1),(82,1),(83,1),(99,1)}
        71:{2,3,4,6,7}:{(58,1),(82,1),(84,1),(96,1),(100,1),(104,1)}
        72:{3,5,7}:{(58,1),(59,1),(85,1)}
        73:{1,2,4,5,6}:{(59,1),(60,1),(63,1),(81,1),(85,1),(86,1),(100,1),(101,1)}
        74:{1,4,5,7}:{(61,1),(62,1),(83,1),(86,1)}
        75:{3,4,5,6}:{(62,1),(63,1),(85,1),(86,1)}
        76:{1,2,3,5,7}:{(64,1),(65,1),(69,1),(88,1),(93,1),(102,1)}
        77:{1,2,4,6}:{(64,1),(66,1),(87,1),(88,1),(89,1)}
        78:{1,3,4,7}:{(65,1),(66,1),(88,1)}
        79:{1,3,4,5}:{(66,1),(89,1)}
        80:{3,4,5,7}:{(67,1),(72,1),(91,1),(92,1)}
        81:{1,4,6}:{(67,1),(68,1),(92,1)}
        82:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(88,1),(93,1),(103,1)}
        83:{1,3,5,7}:{(70,1),(72,1),(74,1),(93,1),(94,1)}
        84:{2,3,5,7}:{(71,1),(72,1),(91,1),(93,1),(95,1)}
        85:{3,5,6}:{(72,1),(73,1),(92,1)}
        86:{1,4,5,6}:{(74,1),(75,1),(94,1)}
        87:{2,3,4,6}:{(77,1),(96,1),(97,1),(104,1)}
        88:{1,2,4,7}:{(76,1),(77,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(77,1),(79,1),(97,1)}
        90:{1,3,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(98,1),(99,1)}
        91:{2,4,5,7}:{(80,1),(84,1),(100,1)}
        92:{3,4,6}:{(80,1),(81,1),(85,1),(100,1)}
        93:{1,2,5,7}:{(82,1),(83,1),(84,1),(101,1)}
        94:{1,3,5,6}:{(83,1),(85,1),(86,1),(99,1),(101,1)}
        95:{2,3,5,6}:{(84,1),(85,1),(100,1),(101,1),(104,1)}
        96:{2,3,4,7}:{(87,1),(88,1),(102,1)}
        97:{2,3,5}:{(87,1),(89,1)}
        98:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{1,3,4,6}:{(90,1),(92,1),(94,1),(103,1)}
       100:{2,4,6}:{(91,1),(92,1),(95,1)}
       101:{1,2,5,6}:{(93,1),(94,1),(95,1),(103,1)}
       102:{2,3,5,7}:{(96,1),(97,1),(98,1),(104,1)}
       103:{1,2,4,6}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{2,3,6}:{(102,1),(103,1)}

2057 :   0:{1,3,4,5,6}:{(2,1),(3,1),(36,1),(59,1),(88,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(20,1),(95,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(44,1),(47,1),(75,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(24,1),(73,1),(76,1)}
         4:{1,4,5,6,7}:{(1,1),(9,1),(87,1)}
         5:{2,4,5,6,7}:{(1,1),(10,1),(100,1)}
         6:{1,3,4,6,7}:{(2,1),(9,1),(12,1),(31,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(12,1),(13,1),(34,1),(57,1),(61,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1)}
         9:{1,3,5,6,7}:{(4,1),(6,1),(18,1),(20,1),(75,1)}
        10:{2,3,5,6,7}:{(5,1),(17,1),(19,1),(20,1),(93,1)}
        11:{1,2,4,5,6,7}:{(4,1),(5,1),(18,1),(19,1),(20,1),(42,1),(43,1),(72,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(18,1),(21,1),(42,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(21,1),(23,1)}
        14:{1,2,3,5,6}:{(8,1),(22,1),(24,1),(50,1),(76,1),(77,1)}
        15:{2,3,4,6}:{(8,1),(23,1),(24,1),(25,1)}
        16:{2,3,4,5,6}:{(26,1),(27,1),(59,1),(80,1),(101,1)}
        17:{2,3,4,6,7}:{(10,1),(26,1),(28,1),(31,1)}
        18:{1,2,5,6,7}:{(9,1),(12,1),(29,1),(61,1)}
        19:{1,2,5,6,7}:{(10,1),(28,1),(30,1),(83,1)}
        20:{3,5,6,7}:{(11,1),(31,1),(85,1)}
        21:{2,3,6,7}:{(12,1),(13,1)}
        22:{1,2,3,5,7}:{(13,1),(14,1),(32,1),(34,1),(61,1),(63,1)}
        23:{2,3,4,7}:{(13,1),(15,1),(34,1)}
        24:{1,2,4,6}:{(14,1),(15,1),(34,1),(36,1),(37,1)}
        25:{2,3,4,5}:{(15,1),(37,1)}
        26:{2,3,4,5,7}:{(16,1),(17,1),(38,1),(44,1),(89,1),(93,1)}
        27:{1,2,4,5,6}:{(16,1),(38,1),(39,1),(67,1),(74,1),(94,1)}
        28:{1,2,4,6,7}:{(17,1),(19,1),(38,1),(40,1),(43,1)}
        29:{2,3,5,6,7}:{(18,1),(20,1),(21,1),(42,1),(46,1)}
        30:{1,3,5,6,7}:{(19,1),(20,1),(40,1),(43,1),(70,1)}
        31:{3,4,6,7}:{(20,1),(42,1),(43,1),(44,1)}
        32:{1,2,3,6,7}:{(21,1),(22,1),(45,1),(77,1)}
        33:{2,3,4,6,7}:{(21,1),(23,1),(42,1),(45,1),(46,1),(49,1),(71,1)}
        34:{1,2,4,7}:{(22,1),(23,1),(24,1),(47,1)}
        35:{2,3,4,5,7}:{(23,1),(25,1),(46,1),(48,1),(49,1),(95,1)}
        36:{1,3,4,6}:{(24,1),(47,1),(50,1),(77,1)}
        37:{1,2,4,5}:{(24,1),(25,1),(50,1)}
        38:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(51,1),(58,1),(78,1),(83,1)}
        39:{1,3,5,6}:{(27,1),(51,1),(53,1)}
        40:{1,3,6,7}:{(28,1),(51,1)}
        41:{1,2,3,5,6,7}:{(29,1),(30,1),(32,1),(54,1),(56,1),(61,1),(83,1),(85,1),(88,1),(101,1)}
        42:{2,4,6,7}:{(29,1),(31,1),(57,1)}
        43:{1,4,6,7}:{(30,1),(31,1),(58,1)}
        44:{3,4,5,7}:{(31,1),(57,1),(58,1),(59,1),(85,1)}
        45:{1,2,4,6,7}:{(32,1),(33,1),(34,1),(60,1),(61,1),(64,1)}
        46:{2,3,5,7}:{(33,1),(57,1),(61,1),(62,1),(85,1)}
        47:{1,3,4,7}:{(34,1),(36,1),(63,1)}
        48:{1,2,4,5,7}:{(34,1),(35,1),(37,1),(61,1),(63,1),(64,1),(87,1)}
        49:{2,3,4,6}:{(35,1),(62,1),(64,1),(102,1)}
        50:{1,3,5}:{(36,1),(37,1)}
        51:{1,3,5,7}:{(38,1),(39,1),(40,1),(66,1)}
        52:{1,2,3,5,6}:{(39,1),(65,1),(67,1),(92,1),(94,1),(103,1)}
        53:{1,3,4,6}:{(39,1),(66,1),(67,1),(68,1)}
        54:{1,2,3,6,7}:{(40,1),(65,1),(69,1),(103,1)}
        55:{1,3,4,6,7}:{(40,1),(43,1),(66,1),(69,1),(70,1),(71,1),(91,1)}
        56:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(71,1),(72,1),(97,1),(104,1)}
        57:{2,4,5,7}:{(42,1),(44,1),(46,1),(73,1)}
        58:{1,4,5,7}:{(43,1),(44,1),(70,1),(74,1)}
        59:{3,4,5,6}:{(44,1),(73,1),(74,1),(96,1)}
        60:{1,3,4,6,7}:{(45,1),(47,1),(71,1),(75,1),(77,1),(97,1)}
        61:{1,2,5,7}:{(45,1),(46,1),(75,1),(76,1)}
        62:{2,3,5,6}:{(46,1),(49,1),(73,1),(76,1),(96,1)}
        63:{1,3,5,7}:{(47,1),(48,1),(50,1),(77,1)}
        64:{1,2,4,6}:{(48,1),(49,1),(76,1),(77,1),(97,1)}
        65:{1,2,3,5,7}:{(51,1),(52,1),(54,1),(78,1),(83,1),(98,1)}
        66:{1,3,4,7}:{(51,1),(53,1),(78,1)}
        67:{1,2,4,6}:{(52,1),(53,1),(78,1),(80,1),(81,1)}
        68:{1,3,4,5}:{(53,1),(81,1)}
        69:{1,2,4,6,7}:{(54,1),(55,1),(78,1),(82,1),(83,1),(99,1)}
        70:{1,3,5,7}:{(55,1),(58,1),(83,1),(84,1),(85,1)}
        71:{3,4,6,7}:{(56,1),(85,1),(102,1)}
        72:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(61,1),(83,1),(85,1),(86,1),(87,1),(100,1)}
        73:{2,4,5,6}:{(57,1),(59,1),(62,1)}
        74:{1,4,5,6}:{(58,1),(59,1),(84,1)}
        75:{1,3,5,7}:{(60,1),(61,1),(85,1),(87,1),(88,1)}
        76:{1,2,5,6}:{(61,1),(62,1),(64,1),(88,1)}
        77:{1,3,6}:{(63,1),(64,1)}
        78:{1,2,4,7}:{(65,1),(66,1),(67,1),(89,1)}
        79:{1,3,4,5,7}:{(66,1),(68,1),(70,1),(90,1),(91,1),(95,1)}
        80:{2,3,4,6}:{(67,1),(89,1),(92,1),(103,1)}
        81:{1,2,4,5}:{(67,1),(68,1),(92,1)}
        82:{2,3,4,6,7}:{(69,1),(71,1),(89,1),(93,1),(103,1),(104,1)}
        83:{1,2,5,7}:{(69,1),(70,1),(93,1),(94,1)}
        84:{1,3,5,6}:{(70,1),(74,1),(91,1),(94,1),(96,1)}
        85:{3,5,7}:{(71,1),(72,1),(96,1)}
        86:{1,2,4,5,6}:{(72,1),(73,1),(74,1),(76,1),(94,1),(96,1),(97,1),(104,1)}
        87:{1,4,5,7}:{(75,1),(95,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(77,1),(96,1),(97,1)}
        89:{2,3,4,7}:{(78,1),(80,1),(98,1)}
        90:{1,2,4,5,7}:{(78,1),(79,1),(81,1),(83,1),(98,1),(99,1),(100,1)}
        91:{1,3,4,6}:{(79,1),(84,1),(99,1),(102,1)}
        92:{2,3,5}:{(80,1),(81,1)}
        93:{2,3,5,7}:{(82,1),(83,1),(85,1),(100,1),(101,1)}
        94:{1,2,5,6}:{(83,1),(84,1),(99,1),(101,1)}
        95:{3,4,5,7}:{(85,1),(87,1),(100,1),(102,1)}
        96:{3,5,6}:{(85,1),(86,1),(102,1)}
        97:{1,4,6}:{(87,1),(88,1),(102,1)}
        98:{2,3,5,7}:{(89,1),(90,1),(92,1),(103,1)}
        99:{1,2,4,6}:{(90,1),(91,1),(94,1),(103,1),(104,1)}
       100:{2,4,5,7}:{(93,1),(95,1),(104,1)}
       101:{2,3,5,6}:{(93,1),(94,1),(96,1),(103,1),(104,1)}
       102:{3,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       103:{2,3,6}:{(98,1),(99,1)}
       104:{2,4,6}:{(100,1),(101,1),(102,1)}

2058 :   0:{1,2,4,5,6,7}:{(1,1),(8,1),(9,1),(10,1),(20,1),(30,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(37,1),(48,1)}
         2:{1,2,3,5,6,7}:{(6,1),(10,1),(21,1),(31,1),(58,1),(59,1),(60,1),(61,1),(63,1),(65,1),(109,1),(110,1),(152,1),(155,1),(168,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(31,1),(54,1),(67,1)}
         4:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(26,1),(31,1),(58,1),(63,1)}
         5:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(24,1),(31,1),(59,1),(65,1)}
         6:{1,2,4,6,7}:{(2,1),(11,1),(12,1),(78,1),(79,1),(86,1),(88,1),(135,1),(166,1),(173,1)}
         7:{3,4,5,7}:{(3,1),(15,1),(16,1),(17,1),(48,1)}
         8:{1,4,6,7}:{(3,1),(4,1),(16,1),(78,1),(86,1)}
         9:{2,4,6,7}:{(3,1),(5,1),(17,1),(79,1),(88,1)}
        10:{1,2,5,6,7}:{(4,1),(5,1),(18,1),(42,1),(45,1),(83,1)}
        11:{1,2,4,5,7}:{(6,1),(20,1),(21,1),(55,1),(56,1),(60,1),(154,1)}
        12:{3,4,6,7}:{(6,1),(21,1),(31,1),(54,1),(67,1),(152,1),(153,1),(171,1)}
        13:{2,3,4,6,7}:{(9,1),(24,1),(25,1),(31,1),(32,1),(67,1)}
        14:{1,3,4,6,7}:{(8,1),(26,1),(27,1),(31,1),(52,1),(67,1)}
        15:{3,4,5,6}:{(7,1),(28,1),(29,1),(54,1),(66,1),(172,1)}
        16:{1,4,5,7}:{(7,1),(8,1),(26,1),(28,1)}
        17:{2,4,5,7}:{(7,1),(9,1),(24,1),(29,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(30,1),(31,1),(107,1)}
        19:{2,3,4,5,7}:{(24,1),(32,1),(33,1),(56,1),(67,1),(108,1),(114,1),(119,1),(157,1)}
        20:{1,2,4,5,6}:{(11,1),(37,1),(78,1),(79,1),(83,1)}
        21:{3,5,7}:{(11,1),(12,1),(37,1),(165,1)}
        22:{1,3,4,6,7}:{(12,1),(38,1),(40,1),(43,1),(78,1),(86,1),(96,1),(133,1),(134,1),(160,1),(161,1),(173,1)}
        23:{2,3,4,6,7}:{(12,1),(39,1),(40,1),(46,1),(79,1),(88,1),(128,1),(133,1),(134,1),(140,1),(141,1),(166,1)}
        24:{2,3,5,7}:{(13,1),(17,1),(41,1),(42,1),(48,1)}
        25:{1,2,4,6,7}:{(13,1),(42,1),(43,1),(50,1),(86,1)}
        26:{1,3,5,7}:{(14,1),(16,1),(44,1),(45,1),(48,1)}
        27:{1,2,4,6,7}:{(14,1),(45,1),(46,1),(74,1),(88,1)}
        28:{1,4,5,6}:{(15,1),(16,1),(44,1),(78,1),(174,1)}
        29:{2,4,5,6}:{(15,1),(17,1),(41,1),(79,1),(167,1)}
        30:{1,2,4,5,7}:{(16,1),(17,1),(18,1),(42,1),(45,1),(47,1),(48,1),(86,1),(88,1)}
        31:{3,6,7}:{(18,1),(48,1),(133,1)}
        32:{2,3,4,6}:{(19,1),(41,1),(50,1),(79,1),(89,1),(133,1)}
        33:{1,2,4,5,7}:{(19,1),(42,1),(50,1),(51,1),(86,1),(95,1),(136,1),(142,1)}
        34:{1,3,4,5,7}:{(26,1),(52,1),(53,1),(55,1),(67,1),(108,1),(114,1),(147,1),(170,1)}
        35:{3,4,5,7}:{(21,1),(54,1),(55,1),(56,1),(67,1),(108,1),(114,1),(171,1),(172,1)}
        36:{1,2,4,5,6,7}:{(20,1),(57,1),(105,1),(106,1),(109,1),(150,1)}
        37:{3,5,6}:{(20,1),(21,1),(54,1)}
        38:{1,3,5,7}:{(21,1),(22,1),(55,1),(58,1),(60,1),(108,1),(121,1),(170,1)}
        39:{2,3,5,7}:{(21,1),(23,1),(56,1),(59,1),(60,1),(108,1),(149,1),(157,1)}
        40:{1,2,4,6,7}:{(22,1),(23,1),(60,1),(61,1),(107,1),(111,1),(120,1),(148,1)}
        41:{2,3,5,6}:{(24,1),(29,1),(32,1),(62,1),(66,1),(157,1)}
        42:{1,2,5,7}:{(24,1),(25,1),(62,1),(63,1)}
        43:{1,3,6,7}:{(25,1),(31,1),(63,1),(71,1)}
        44:{1,3,5,6}:{(26,1),(28,1),(52,1),(64,1),(66,1),(170,1)}
        45:{1,2,5,7}:{(26,1),(27,1),(64,1),(65,1)}
        46:{2,3,6,7}:{(27,1),(31,1),(65,1),(100,1)}
        47:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(62,1),(64,1),(66,1),(107,1),(112,1),(113,1),(154,1)}
        48:{3,5,7}:{(30,1),(31,1),(66,1),(67,1)}
        49:{1,3,4,5,7}:{(55,1),(68,1),(69,1),(72,1),(108,1),(115,1),(121,1),(171,1),(172,1)}
        50:{1,2,4,6}:{(32,1),(33,1),(62,1),(71,1),(112,1)}
        51:{1,3,5,7}:{(33,1),(71,1),(72,1),(108,1),(121,1)}
        52:{1,3,4,6}:{(34,1),(44,1),(74,1),(78,1),(89,1),(133,1)}
        53:{1,2,4,5,7}:{(34,1),(45,1),(74,1),(75,1),(88,1),(127,1),(137,1),(162,1)}
        54:{3,4,6}:{(35,1),(37,1),(78,1),(79,1),(133,1)}
        55:{1,4,5,7}:{(35,1),(38,1),(78,1),(86,1),(136,1),(173,1),(174,1)}
        56:{2,4,5,7}:{(35,1),(39,1),(79,1),(88,1),(137,1),(166,1),(167,1)}
        57:{3,5,6,7}:{(36,1),(37,1),(77,1),(163,1)}
        58:{1,3,5,6}:{(37,1),(38,1),(78,1),(83,1),(133,1)}
        59:{2,3,5,6}:{(37,1),(39,1),(79,1),(83,1),(133,1)}
        60:{1,2,5,7}:{(38,1),(39,1),(40,1),(83,1),(142,1),(162,1)}
        61:{1,2,3,6,7}:{(40,1),(43,1),(46,1),(84,1),(94,1),(126,1),(133,1),(140,1),(160,1)}
        62:{1,2,5,6}:{(41,1),(42,1),(50,1),(85,1),(142,1)}
        63:{1,3,5,7}:{(42,1),(43,1),(48,1),(85,1),(86,1)}
        64:{1,2,5,6}:{(44,1),(45,1),(74,1),(87,1),(162,1)}
        65:{2,3,5,7}:{(45,1),(46,1),(48,1),(87,1),(88,1)}
        66:{3,5,6}:{(47,1),(48,1),(89,1),(133,1),(165,1)}
        67:{3,4,7}:{(48,1),(86,1),(88,1),(89,1)}
        68:{1,3,4,6}:{(49,1),(78,1),(90,1),(92,1),(133,1),(164,1)}
        69:{1,2,4,5,7}:{(49,1),(92,1),(93,1),(95,1),(138,1),(142,1),(166,1),(167,1)}
        70:{1,2,3,5,7}:{(51,1),(93,1),(94,1),(95,1),(142,1)}
        71:{1,3,6}:{(50,1),(51,1),(133,1)}
        72:{1,3,4,7}:{(51,1),(86,1),(95,1),(96,1),(134,1)}
        73:{2,3,4,5,7}:{(56,1),(97,1),(98,1),(101,1),(108,1),(143,1),(149,1),(171,1),(172,1)}
        74:{1,2,4,6}:{(52,1),(53,1),(64,1),(100,1),(113,1)}
        75:{2,3,5,7}:{(53,1),(100,1),(101,1),(108,1),(149,1)}
        76:{3,4,5,6}:{(54,1),(102,1),(103,1),(104,1),(114,1),(151,1)}
        77:{3,4,6,7}:{(54,1),(57,1),(102,1),(105,1),(106,1),(152,1),(171,1)}
        78:{1,4,6}:{(54,1),(55,1),(58,1)}
        79:{2,4,6}:{(54,1),(56,1),(59,1)}
        80:{1,2,4,5,7}:{(55,1),(56,1),(60,1),(107,1),(108,1),(111,1),(154,1)}
        81:{1,3,5,6,7}:{(57,1),(58,1),(105,1),(109,1),(115,1),(152,1),(168,1)}
        82:{2,3,5,6,7}:{(57,1),(59,1),(106,1),(109,1),(143,1),(152,1),(155,1)}
        83:{1,2,5,6}:{(58,1),(59,1),(60,1),(107,1)}
        84:{1,2,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(108,1),(110,1),(111,1),(155,1),(168,1)}
        85:{1,3,5,6}:{(62,1),(63,1),(66,1),(71,1),(112,1),(121,1)}
        86:{1,4,7}:{(63,1),(67,1),(112,1)}
        87:{2,3,5,6}:{(64,1),(65,1),(66,1),(100,1),(113,1),(149,1)}
        88:{2,4,7}:{(65,1),(67,1),(113,1)}
        89:{3,4,6}:{(66,1),(67,1),(112,1),(113,1),(114,1)}
        90:{1,3,5,6}:{(68,1),(103,1),(115,1),(116,1),(121,1),(151,1)}
        91:{1,3,4,6,7}:{(68,1),(105,1),(115,1),(117,1),(152,1),(171,1)}
        92:{1,2,4,6}:{(68,1),(69,1),(116,1),(118,1),(156,1)}
        93:{2,3,5,7}:{(69,1),(108,1),(118,1),(119,1),(157,1)}
        94:{1,2,3,6}:{(70,1),(71,1),(118,1),(120,1)}
        95:{1,2,4,7}:{(70,1),(72,1),(119,1),(120,1)}
        96:{1,3,4,6}:{(71,1),(72,1),(112,1),(120,1),(121,1),(153,1)}
        97:{2,3,4,6}:{(73,1),(79,1),(122,1),(124,1),(133,1),(164,1)}
        98:{1,2,4,5,7}:{(73,1),(124,1),(125,1),(127,1),(158,1),(162,1),(173,1),(174,1)}
        99:{1,2,3,5,7}:{(75,1),(125,1),(126,1),(127,1),(162,1)}
       100:{2,3,6}:{(74,1),(75,1),(133,1)}
       101:{2,3,4,7}:{(75,1),(88,1),(127,1),(128,1),(134,1)}
       102:{3,4,5,7}:{(76,1),(77,1),(129,1),(130,1),(163,1)}
       103:{1,4,5,6}:{(76,1),(78,1),(90,1),(129,1),(136,1)}
       104:{2,4,5,6}:{(76,1),(79,1),(122,1),(130,1),(137,1)}
       105:{1,4,6,7}:{(77,1),(78,1),(81,1),(129,1),(173,1)}
       106:{2,4,6,7}:{(77,1),(79,1),(82,1),(130,1),(166,1)}
       107:{1,2,4,6}:{(78,1),(79,1),(80,1),(83,1),(133,1)}
       108:{3,5,7}:{(80,1),(133,1),(134,1),(165,1)}
       109:{1,2,5,6,7}:{(81,1),(82,1),(83,1),(132,1),(138,1),(158,1)}
       110:{1,2,3,5,6}:{(83,1),(84,1),(85,1),(87,1),(94,1),(126,1),(133,1),(135,1),(139,1),(142,1),(159,1),(162,1),(165,1)}
       111:{1,2,4,7}:{(84,1),(86,1),(88,1),(134,1),(135,1),(166,1),(173,1)}
       112:{1,4,6}:{(85,1),(86,1),(89,1),(136,1)}
       113:{2,4,6}:{(87,1),(88,1),(89,1),(137,1)}
       114:{3,4,5}:{(89,1),(136,1),(137,1),(165,1)}
       115:{1,3,5,7}:{(90,1),(91,1),(129,1),(138,1),(163,1)}
       116:{1,2,5,6}:{(90,1),(92,1),(138,1),(139,1),(142,1)}
       117:{1,2,4,6,7}:{(91,1),(92,1),(138,1),(140,1),(166,1)}
       118:{2,3,6}:{(92,1),(93,1),(133,1)}
       119:{2,3,4,7}:{(93,1),(95,1),(134,1),(141,1),(166,1)}
       120:{1,2,4,6}:{(94,1),(95,1),(96,1),(141,1),(142,1)}
       121:{1,3,5}:{(96,1),(136,1),(142,1),(165,1)}
       122:{2,3,5,6}:{(97,1),(104,1),(143,1),(144,1),(149,1),(151,1)}
       123:{2,3,4,6,7}:{(97,1),(106,1),(143,1),(145,1),(152,1),(171,1)}
       124:{1,2,4,6}:{(97,1),(98,1),(144,1),(146,1),(169,1)}
       125:{1,3,5,7}:{(98,1),(108,1),(146,1),(147,1),(170,1)}
       126:{1,2,3,6}:{(99,1),(100,1),(146,1),(148,1)}
       127:{1,2,4,7}:{(99,1),(101,1),(147,1),(148,1)}
       128:{2,3,4,6}:{(100,1),(101,1),(113,1),(148,1),(149,1),(153,1)}
       129:{1,4,5,7}:{(102,1),(103,1),(105,1),(115,1)}
       130:{2,4,5,7}:{(102,1),(104,1),(106,1),(143,1)}
       131:{1,2,4,5,6}:{(103,1),(104,1),(107,1),(116,1),(144,1),(150,1),(151,1),(154,1),(156,1),(169,1)}
       132:{1,2,4,6,7}:{(105,1),(106,1),(107,1),(109,1),(150,1),(152,1)}
       133:{3,6}:{(107,1),(108,1)}
       134:{3,4,7}:{(108,1),(111,1),(153,1)}
       135:{1,2,4,6}:{(110,1),(111,1),(112,1),(113,1),(153,1),(154,1),(156,1),(169,1)}
       136:{1,4,5}:{(112,1),(114,1),(121,1)}
       137:{2,4,5}:{(113,1),(114,1),(149,1)}
       138:{1,2,5,7}:{(115,1),(116,1),(117,1),(155,1)}
       139:{2,3,5,6}:{(116,1),(118,1),(151,1),(155,1),(156,1),(157,1)}
       140:{2,3,6,7}:{(117,1),(118,1),(152,1),(155,1)}
       141:{2,3,4,6}:{(118,1),(119,1),(120,1),(153,1),(156,1),(157,1)}
       142:{1,2,5}:{(120,1),(121,1),(157,1)}
       143:{2,3,5,7}:{(122,1),(123,1),(130,1),(158,1),(163,1)}
       144:{1,2,5,6}:{(122,1),(124,1),(158,1),(159,1),(162,1)}
       145:{1,2,4,6,7}:{(123,1),(124,1),(158,1),(160,1),(173,1)}
       146:{1,3,6}:{(124,1),(125,1),(133,1)}
       147:{1,3,4,7}:{(125,1),(127,1),(134,1),(161,1),(173,1)}
       148:{1,2,4,6}:{(126,1),(127,1),(128,1),(161,1),(162,1)}
       149:{2,3,5}:{(128,1),(137,1),(162,1),(165,1)}
       150:{1,2,4,5,7}:{(129,1),(130,1),(131,1),(132,1),(138,1),(158,1),(163,1),(166,1),(173,1)}
       151:{3,5,6}:{(131,1),(133,1),(163,1),(164,1),(165,1)}
       152:{3,6,7}:{(132,1),(133,1),(163,1)}
       153:{3,4,6}:{(133,1),(134,1),(135,1),(165,1)}
       154:{1,2,4,5}:{(135,1),(136,1),(137,1),(142,1),(162,1),(165,1),(167,1),(174,1)}
       155:{2,3,5,7}:{(138,1),(139,1),(140,1),(163,1),(166,1)}
       156:{2,4,6}:{(139,1),(164,1),(166,1),(167,1)}
       157:{2,3,5}:{(141,1),(142,1),(165,1),(167,1)}
       158:{1,2,5,7}:{(143,1),(144,1),(145,1),(168,1)}
       159:{1,3,5,6}:{(144,1),(146,1),(151,1),(168,1),(169,1),(170,1)}
       160:{1,3,6,7}:{(145,1),(146,1),(152,1),(168,1)}
       161:{1,3,4,6}:{(146,1),(147,1),(148,1),(153,1),(169,1),(170,1)}
       162:{1,2,5}:{(148,1),(149,1),(170,1)}
       163:{3,5,7}:{(150,1),(151,1),(152,1),(171,1)}
       164:{3,4,6}:{(151,1),(156,1),(169,1),(171,1),(172,1)}
       165:{3,5}:{(153,1),(154,1)}
       166:{2,4,7}:{(155,1),(156,1),(171,1)}
       167:{2,4,5}:{(156,1),(157,1),(172,1)}
       168:{1,3,5,7}:{(158,1),(159,1),(160,1),(163,1),(173,1)}
       169:{1,4,6}:{(159,1),(164,1),(173,1),(174,1)}
       170:{1,3,5}:{(161,1),(162,1),(165,1),(174,1)}
       171:{3,4,7}:{(163,1),(164,1),(166,1),(173,1)}
       172:{3,4,5}:{(164,1),(165,1),(167,1),(174,1)}
       173:{1,4,7}:{(168,1),(169,1),(171,1)}
       174:{1,4,5}:{(169,1),(170,1),(172,1)}

2059 :   0:{1,2,3,6,7}:{(3,1),(4,1),(40,1),(52,1),(85,1),(86,1),(87,1),(104,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(15,1),(19,1),(41,1),(52,1),(55,1),(86,1),(99,1),(104,1)}
         2:{1,3,4,6,7}:{(4,1),(6,1),(15,1),(22,1),(42,1),(52,1),(57,1),(87,1),(100,1),(104,1)}
         3:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(28,1),(31,1),(58,1),(69,1),(94,1),(95,1)}
         4:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(32,1),(60,1),(73,1),(74,1),(96,1),(103,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(10,1),(11,1),(31,1),(61,1),(66,1)}
         6:{1,3,5,7}:{(2,1),(9,1),(12,1),(13,1),(31,1),(62,1),(68,1)}
         7:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(40,1),(43,1),(52,1),(79,1),(80,1),(81,1),(85,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(75,1),(99,1),(100,1)}
         9:{1,2,5,7}:{(4,1),(5,1),(6,1),(17,1),(79,1),(83,1),(84,1)}
        10:{2,4,5,7}:{(5,1),(18,1),(19,1),(76,1),(99,1)}
        11:{2,3,5,6}:{(5,1),(17,1),(19,1),(45,1),(52,1)}
        12:{1,4,5,7}:{(6,1),(21,1),(22,1),(77,1),(100,1)}
        13:{1,3,5,6}:{(6,1),(17,1),(22,1),(47,1),(52,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(90,1),(91,1)}
        15:{3,4,7}:{(8,1),(24,1),(31,1),(88,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(12,1),(25,1),(31,1),(32,1),(34,1),(37,1),(69,1),(89,1),(103,1)}
        17:{1,2,5,6}:{(9,1),(11,1),(13,1),(32,1),(65,1),(67,1)}
        18:{3,4,5,7}:{(10,1),(31,1),(34,1),(35,1),(59,1),(66,1),(92,1)}
        19:{2,4,6}:{(10,1),(11,1),(35,1)}
        20:{2,3,5,6,7}:{(11,1),(33,1),(36,1),(66,1),(72,1),(94,1)}
        21:{3,4,5,7}:{(12,1),(31,1),(37,1),(38,1),(59,1),(68,1),(92,1)}
        22:{1,4,6}:{(12,1),(13,1),(38,1)}
        23:{1,3,5,6,7}:{(13,1),(33,1),(39,1),(68,1),(72,1),(95,1)}
        24:{3,4,6}:{(14,1),(15,1),(43,1),(52,1)}
        25:{1,2,4,5}:{(14,1),(43,1),(76,1),(77,1),(79,1)}
        26:{2,4,5,6}:{(19,1),(45,1),(46,1)}
        27:{1,4,5,6}:{(22,1),(47,1),(48,1)}
        28:{1,2,3,7}:{(40,1),(49,1),(104,1)}
        29:{2,3,4,7}:{(15,1),(41,1),(49,1),(50,1),(99,1),(104,1)}
        30:{1,3,4,7}:{(15,1),(42,1),(49,1),(51,1),(100,1),(104,1)}
        31:{3,5,7}:{(15,1),(16,1),(43,1),(52,1),(97,1),(104,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(19,1),(22,1),(52,1),(54,1),(56,1),(85,1)}
        33:{1,2,5,6,7}:{(17,1),(20,1),(23,1),(53,1),(83,1),(84,1),(101,1)}
        34:{1,4,5,7}:{(18,1),(51,1),(54,1),(77,1),(83,1),(100,1)}
        35:{3,4,6}:{(18,1),(19,1),(45,1),(52,1),(54,1)}
        36:{2,4,6,7}:{(19,1),(20,1),(46,1),(55,1),(99,1)}
        37:{2,4,5,7}:{(21,1),(50,1),(56,1),(76,1),(84,1),(99,1)}
        38:{3,4,6}:{(21,1),(22,1),(47,1),(52,1),(56,1)}
        39:{1,4,6,7}:{(22,1),(23,1),(48,1),(57,1),(100,1)}
        40:{1,2,3,6}:{(28,1),(58,1),(60,1),(102,1)}
        41:{2,3,4,6}:{(24,1),(29,1),(60,1),(61,1),(70,1),(88,1),(90,1),(102,1)}
        42:{1,3,4,6}:{(24,1),(30,1),(60,1),(62,1),(71,1),(88,1),(91,1),(102,1)}
        43:{3,5}:{(24,1),(25,1)}
        44:{1,2,4,5,6}:{(25,1),(26,1),(27,1),(32,1),(63,1),(64,1),(65,1),(67,1),(90,1),(91,1),(93,1)}
        45:{3,5,6}:{(26,1),(35,1),(65,1),(66,1)}
        46:{2,4,5,7}:{(26,1),(36,1),(66,1)}
        47:{3,5,6}:{(27,1),(38,1),(67,1),(68,1)}
        48:{1,4,5,7}:{(27,1),(39,1),(68,1)}
        49:{1,2,4,7}:{(28,1),(29,1),(30,1),(60,1),(69,1)}
        50:{2,3,5,7}:{(29,1),(31,1),(37,1),(61,1),(69,1),(70,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(34,1),(62,1),(69,1),(71,1)}
        52:{3,6}:{(31,1),(32,1)}
        53:{1,2,4,6,7}:{(32,1),(33,1),(36,1),(39,1),(64,1),(72,1),(73,1),(74,1),(96,1),(103,1)}
        54:{1,4,6}:{(34,1),(35,1),(65,1),(71,1)}
        55:{3,4,6,7}:{(35,1),(36,1),(66,1),(72,1),(73,1),(92,1)}
        56:{2,4,6}:{(37,1),(38,1),(67,1),(70,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(68,1),(72,1),(74,1),(92,1)}
        58:{1,2,3,5}:{(40,1),(75,1),(79,1),(97,1)}
        59:{3,4,5}:{(43,1),(76,1),(77,1),(78,1),(97,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(42,1),(49,1),(75,1),(79,1),(85,1)}
        61:{2,3,5}:{(41,1),(43,1),(76,1),(79,1),(97,1)}
        62:{1,3,5}:{(42,1),(43,1),(77,1),(79,1),(97,1)}
        63:{3,5,6}:{(43,1),(44,1),(52,1),(78,1),(82,1)}
        64:{1,2,4,5,7}:{(44,1),(46,1),(48,1),(53,1),(82,1),(83,1),(84,1),(99,1),(100,1),(101,1)}
        65:{1,5,6}:{(45,1),(54,1),(83,1)}
        66:{3,5,7}:{(45,1),(46,1),(55,1),(83,1)}
        67:{2,5,6}:{(47,1),(56,1),(84,1)}
        68:{3,5,7}:{(47,1),(48,1),(57,1),(84,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(85,1)}
        70:{2,3,6}:{(50,1),(52,1),(56,1),(85,1)}
        71:{1,3,6}:{(51,1),(52,1),(54,1),(85,1)}
        72:{3,6,7}:{(52,1),(53,1),(82,1),(104,1)}
        73:{1,4,6,7}:{(54,1),(55,1),(83,1),(87,1),(100,1)}
        74:{2,4,6,7}:{(56,1),(57,1),(84,1),(86,1),(99,1)}
        75:{1,2,4}:{(58,1),(88,1)}
        76:{2,4,5}:{(59,1),(61,1),(90,1)}
        77:{1,4,5}:{(59,1),(62,1),(91,1)}
        78:{3,4,6}:{(59,1),(63,1),(90,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(60,1),(61,1),(62,1)}
        80:{2,3,5,6}:{(61,1),(63,1),(67,1),(70,1),(90,1),(93,1),(94,1),(102,1)}
        81:{1,3,5,6}:{(62,1),(63,1),(65,1),(71,1),(91,1),(93,1),(95,1),(102,1)}
        82:{3,5,7}:{(63,1),(64,1),(72,1),(92,1)}
        83:{1,5,7}:{(65,1),(66,1),(73,1)}
        84:{2,5,7}:{(67,1),(68,1),(74,1)}
        85:{1,2,6}:{(69,1),(70,1),(71,1)}
        86:{2,3,6,7}:{(70,1),(72,1),(74,1),(94,1),(96,1)}
        87:{1,3,6,7}:{(71,1),(72,1),(73,1),(95,1),(96,1)}
        88:{3,4}:{(75,1),(97,1)}
        89:{1,2,4,5}:{(75,1),(76,1),(77,1),(79,1),(97,1),(98,1)}
        90:{2,4,6}:{(76,1),(78,1),(80,1),(99,1)}
        91:{1,4,6}:{(77,1),(78,1),(81,1),(100,1)}
        92:{3,4,7}:{(78,1),(82,1),(99,1),(100,1),(104,1)}
        93:{1,2,5,6}:{(79,1),(80,1),(81,1),(85,1),(98,1),(101,1)}
        94:{2,3,5,7}:{(80,1),(82,1),(84,1),(86,1),(99,1),(101,1),(104,1)}
        95:{1,3,5,7}:{(81,1),(82,1),(83,1),(87,1),(100,1),(101,1),(104,1)}
        96:{1,2,6,7}:{(85,1),(86,1),(87,1),(101,1)}
        97:{3,5}:{(88,1),(89,1),(102,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{2,4,7}:{(90,1),(92,1),(94,1)}
       100:{1,4,7}:{(91,1),(92,1),(95,1)}
       101:{1,2,5,7}:{(93,1),(94,1),(95,1),(96,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

2060 :   0:{3,4,5,6,7}:{(1,1),(2,1),(14,1),(92,1)}
         1:{1,4,5,6,7}:{(0,1),(4,1),(99,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(97,1)}
         3:{1,3,4,5,6}:{(7,1),(8,1),(49,1),(52,1),(100,1)}
         4:{1,3,5,6,7}:{(1,1),(11,1),(12,1),(14,1),(90,1)}
         5:{2,3,5,6,7}:{(2,1),(10,1),(13,1),(14,1),(88,1)}
         6:{1,2,4,5,6,7}:{(1,1),(2,1),(12,1),(13,1),(14,1),(32,1),(33,1),(63,1)}
         7:{1,3,4,5,7}:{(3,1),(11,1),(15,1),(34,1),(66,1),(90,1)}
         8:{1,2,4,5,6}:{(3,1),(15,1),(16,1),(37,1),(64,1),(91,1)}
         9:{2,3,4,5,6}:{(17,1),(18,1),(49,1),(72,1),(98,1)}
        10:{2,3,4,6,7}:{(5,1),(17,1),(19,1),(23,1)}
        11:{1,3,4,6,7}:{(4,1),(7,1),(20,1),(23,1)}
        12:{1,2,5,6,7}:{(4,1),(20,1),(21,1),(78,1)}
        13:{1,2,5,6,7}:{(5,1),(19,1),(22,1),(75,1)}
        14:{3,5,6,7}:{(6,1),(23,1),(80,1)}
        15:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(24,1),(47,1),(50,1),(78,1)}
        16:{2,3,5,6}:{(8,1),(24,1),(26,1)}
        17:{2,3,4,5,7}:{(9,1),(10,1),(27,1),(34,1),(84,1),(88,1)}
        18:{1,2,4,5,6}:{(9,1),(27,1),(28,1),(56,1),(65,1),(89,1)}
        19:{1,2,4,6,7}:{(10,1),(13,1),(27,1),(29,1),(33,1)}
        20:{1,2,4,6,7}:{(11,1),(12,1),(15,1),(30,1),(32,1)}
        21:{2,3,5,6,7}:{(12,1),(14,1),(30,1),(32,1),(61,1)}
        22:{1,3,5,6,7}:{(13,1),(14,1),(29,1),(33,1),(59,1)}
        23:{3,4,6,7}:{(14,1),(32,1),(33,1),(34,1)}
        24:{2,3,5,7}:{(15,1),(16,1),(30,1),(36,1)}
        25:{1,2,3,5,6}:{(16,1),(35,1),(37,1),(69,1),(91,1),(94,1)}
        26:{2,3,4,6}:{(16,1),(36,1),(37,1),(38,1)}
        27:{1,2,4,5,7}:{(17,1),(18,1),(19,1),(39,1),(48,1),(70,1),(75,1)}
        28:{1,3,5,6}:{(18,1),(39,1),(41,1)}
        29:{1,3,6,7}:{(19,1),(39,1)}
        30:{2,3,6,7}:{(20,1),(24,1)}
        31:{1,2,3,5,6,7}:{(21,1),(22,1),(42,1),(44,1),(46,1),(75,1),(78,1),(80,1),(98,1),(100,1)}
        32:{2,4,6,7}:{(21,1),(23,1),(47,1)}
        33:{1,4,6,7}:{(22,1),(23,1),(48,1)}
        34:{3,4,5,7}:{(23,1),(47,1),(48,1),(49,1),(80,1)}
        35:{1,2,3,5,7}:{(24,1),(25,1),(44,1),(50,1),(78,1),(82,1)}
        36:{2,3,4,7}:{(24,1),(26,1),(50,1)}
        37:{1,2,4,6}:{(25,1),(26,1),(50,1),(52,1),(53,1)}
        38:{2,3,4,5}:{(26,1),(53,1)}
        39:{1,3,5,7}:{(27,1),(28,1),(29,1),(55,1)}
        40:{1,2,3,5,6}:{(28,1),(54,1),(56,1),(87,1),(89,1),(102,1)}
        41:{1,3,4,6}:{(28,1),(55,1),(56,1),(57,1)}
        42:{1,2,3,6,7}:{(29,1),(54,1),(58,1),(102,1)}
        43:{1,3,4,6,7}:{(29,1),(33,1),(55,1),(58,1),(59,1),(62,1),(86,1)}
        44:{1,2,3,6,7}:{(30,1),(35,1),(60,1),(94,1)}
        45:{2,3,4,6,7}:{(30,1),(32,1),(36,1),(60,1),(61,1),(62,1),(68,1)}
        46:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(62,1),(63,1),(103,1),(104,1)}
        47:{2,4,5,7}:{(32,1),(34,1),(61,1),(64,1)}
        48:{1,4,5,7}:{(33,1),(34,1),(59,1),(65,1)}
        49:{3,4,5,6}:{(34,1),(64,1),(65,1),(93,1)}
        50:{1,2,4,7}:{(35,1),(36,1),(37,1),(66,1)}
        51:{2,3,4,5,7}:{(36,1),(38,1),(61,1),(67,1),(68,1),(92,1)}
        52:{1,3,4,6}:{(37,1),(66,1),(69,1),(94,1)}
        53:{1,2,4,5}:{(37,1),(38,1),(69,1)}
        54:{1,2,3,5,7}:{(39,1),(40,1),(42,1),(70,1),(75,1),(95,1)}
        55:{1,3,4,7}:{(39,1),(41,1),(70,1)}
        56:{1,2,4,6}:{(40,1),(41,1),(70,1),(72,1),(73,1)}
        57:{1,3,4,5}:{(41,1),(73,1)}
        58:{1,2,4,6,7}:{(42,1),(43,1),(70,1),(74,1),(75,1),(96,1)}
        59:{1,3,5,7}:{(43,1),(48,1),(75,1),(76,1),(80,1)}
        60:{1,2,4,6,7}:{(44,1),(45,1),(50,1),(77,1),(78,1),(83,1)}
        61:{2,3,5,7}:{(45,1),(47,1),(78,1),(79,1),(80,1)}
        62:{3,4,6,7}:{(46,1),(80,1),(101,1)}
        63:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(75,1),(78,1),(80,1),(81,1),(97,1),(99,1)}
        64:{2,4,5,6}:{(47,1),(49,1),(79,1)}
        65:{1,4,5,6}:{(48,1),(49,1),(76,1)}
        66:{1,3,4,7}:{(50,1),(52,1),(82,1)}
        67:{1,2,4,5,7}:{(50,1),(51,1),(53,1),(78,1),(82,1),(83,1),(99,1)}
        68:{2,3,4,6}:{(51,1),(79,1),(83,1),(101,1)}
        69:{1,3,5}:{(52,1),(53,1)}
        70:{1,2,4,7}:{(54,1),(55,1),(56,1),(84,1)}
        71:{1,3,4,5,7}:{(55,1),(57,1),(59,1),(85,1),(86,1),(92,1)}
        72:{2,3,4,6}:{(56,1),(84,1),(87,1),(102,1)}
        73:{1,2,4,5}:{(56,1),(57,1),(87,1)}
        74:{2,3,4,6,7}:{(58,1),(62,1),(84,1),(88,1),(102,1),(103,1)}
        75:{1,2,5,7}:{(58,1),(59,1),(88,1),(89,1)}
        76:{1,3,5,6}:{(59,1),(65,1),(86,1),(89,1),(93,1)}
        77:{1,3,4,6,7}:{(60,1),(62,1),(66,1),(90,1),(94,1),(104,1)}
        78:{1,2,5,7}:{(60,1),(61,1),(90,1),(91,1)}
        79:{2,3,5,6}:{(61,1),(64,1),(68,1),(91,1),(93,1)}
        80:{3,5,7}:{(62,1),(63,1),(93,1)}
        81:{1,2,4,5,6}:{(63,1),(64,1),(65,1),(89,1),(91,1),(93,1),(103,1),(104,1)}
        82:{1,3,5,7}:{(66,1),(67,1),(69,1),(94,1)}
        83:{1,2,4,6}:{(67,1),(68,1),(91,1),(94,1),(104,1)}
        84:{2,3,4,7}:{(70,1),(72,1),(95,1)}
        85:{1,2,4,5,7}:{(70,1),(71,1),(73,1),(75,1),(95,1),(96,1),(97,1)}
        86:{1,3,4,6}:{(71,1),(76,1),(96,1),(101,1)}
        87:{2,3,5}:{(72,1),(73,1)}
        88:{2,3,5,7}:{(74,1),(75,1),(80,1),(97,1),(98,1)}
        89:{1,2,5,6}:{(75,1),(76,1),(96,1),(98,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(80,1),(99,1),(100,1)}
        91:{1,2,5,6}:{(78,1),(79,1),(83,1),(100,1)}
        92:{3,4,5,7}:{(80,1),(97,1),(99,1),(101,1)}
        93:{3,5,6}:{(80,1),(81,1),(101,1)}
        94:{1,3,6}:{(82,1),(83,1)}
        95:{2,3,5,7}:{(84,1),(85,1),(87,1),(102,1)}
        96:{1,2,4,6}:{(85,1),(86,1),(89,1),(102,1),(103,1)}
        97:{2,4,5,7}:{(88,1),(92,1),(103,1)}
        98:{2,3,5,6}:{(88,1),(89,1),(93,1),(102,1),(103,1)}
        99:{1,4,5,7}:{(90,1),(92,1),(104,1)}
       100:{1,3,5,6}:{(90,1),(91,1),(93,1),(94,1),(104,1)}
       101:{3,4,6}:{(92,1),(93,1),(103,1),(104,1)}
       102:{2,3,6}:{(95,1),(96,1)}
       103:{2,4,6}:{(97,1),(98,1),(101,1)}
       104:{1,4,6}:{(99,1),(100,1),(101,1)}

2061 :  0:{1,2,3,4,7}:{(1,1),(2,1),(30,1),(79,1)}
        1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(39,1),(69,1)}
        2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        3:{2,3,4,5,7}:{(4,1),(7,1),(18,1),(22,1),(43,1)}
        4:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(10,1),(26,1),(30,1)}
        5:{1,2,3,5}:{(1,1),(10,1)}
        6:{1,2,3,6}:{(2,1),(9,1)}
        7:{2,3,4,6}:{(3,1),(9,1),(13,1),(29,1)}
        8:{1,3,4,5,7}:{(4,1),(15,1),(18,1),(35,1),(43,1)}
        9:{1,2,4,6}:{(4,1),(6,1),(7,1),(15,1),(16,1)}
       10:{1,2,4,5}:{(5,1),(18,1),(19,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(16,1),(19,1),(20,1),(37,1),(66,1),(69,1)}
       12:{1,2,3,6,7}:{(6,1),(17,1),(20,1),(65,1),(82,1)}
       13:{2,3,5,6}:{(7,1),(16,1),(21,1),(22,1),(37,1)}
       14:{2,3,4,6,7}:{(7,1),(17,1),(22,1),(43,1),(44,1),(65,1)}
       15:{1,3,4,6}:{(8,1),(9,1),(23,1),(29,1)}
       16:{1,2,5,6}:{(9,1),(13,1),(23,1),(26,1)}
       17:{1,2,4,6,7}:{(9,1),(12,1),(14,1),(24,1),(26,1),(30,1)}
       18:{3,4,5}:{(10,1),(29,1)}
       19:{1,2,4,6}:{(10,1),(11,1),(29,1),(30,1)}
       20:{1,2,3,5,7}:{(11,1),(12,1),(26,1),(30,1),(54,1),(78,1),(79,1)}
       21:{2,4,5,6}:{(13,1),(32,1),(33,1)}
       22:{2,3,5,7}:{(13,1),(14,1),(26,1),(33,1),(54,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(34,1),(35,1),(37,1)}
       24:{1,3,4,6,7}:{(15,1),(17,1),(35,1),(43,1),(62,1),(65,1)}
       25:{1,2,4,5,6}:{(16,1),(19,1),(21,1),(34,1),(37,1),(38,1),(45,1),(63,1),(66,1)}
       26:{1,2,5,7}:{(16,1),(17,1),(22,1),(35,1)}
       27:{2,3,4,5}:{(18,1),(40,1),(41,1)}
       28:{1,3,4,5}:{(18,1),(40,1),(42,1)}
       29:{3,4,6}:{(18,1),(19,1),(37,1),(43,1)}
       30:{1,2,4,7}:{(19,1),(20,1),(43,1)}
       31:{2,3,5,6,7}:{(22,1),(36,1),(44,1),(61,1),(65,1)}
       32:{3,4,5,6}:{(21,1),(37,1),(45,1),(46,1)}
       33:{2,4,5,7}:{(21,1),(22,1),(44,1),(46,1)}
       34:{1,4,5,6}:{(23,1),(49,1),(50,1)}
       35:{1,3,5,7}:{(23,1),(24,1),(26,1),(50,1),(54,1)}
       36:{1,2,5,6,7}:{(26,1),(31,1),(48,1),(51,1),(72,1),(83,1)}
       37:{3,5,6}:{(25,1),(29,1),(54,1)}
       38:{1,2,4,5,7}:{(25,1),(26,1),(30,1),(33,1),(50,1),(51,1),(54,1),(60,1),(75,1),(78,1)}
       39:{1,2,3,4}:{(55,1)}
       40:{1,2,4,5}:{(27,1),(28,1),(55,1),(56,1)}
       41:{2,3,4,6}:{(27,1),(29,1),(52,1),(56,1),(57,1)}
       42:{1,3,4,6}:{(28,1),(29,1),(53,1),(56,1),(58,1)}
       43:{3,4,7}:{(29,1),(30,1),(54,1)}
       44:{2,4,6,7}:{(31,1),(33,1),(59,1)}
       45:{1,4,5,6}:{(32,1),(53,1),(60,1)}
       46:{3,4,5,7}:{(32,1),(33,1),(54,1),(59,1),(60,1)}
       47:{2,4,5,6,7}:{(44,1),(61,1)}
       48:{1,3,5,6,7}:{(35,1),(36,1),(62,1),(65,1),(80,1)}
       49:{3,4,5,6}:{(34,1),(37,1),(63,1),(64,1)}
       50:{1,4,5,7}:{(34,1),(35,1),(62,1),(64,1)}
       51:{1,2,4,6,7}:{(36,1),(38,1),(44,1),(62,1),(65,1),(71,1),(81,1),(82,1)}
       52:{2,3,5,6}:{(37,1),(41,1),(63,1),(66,1),(67,1)}
       53:{1,3,5,6}:{(37,1),(42,1),(45,1),(66,1),(68,1)}
       54:{3,5,7}:{(37,1),(38,1),(43,1),(65,1)}
       55:{1,2,3,5}:{(39,1),(40,1),(69,1)}
       56:{1,2,4,6}:{(40,1),(41,1),(42,1),(66,1),(69,1),(70,1)}
       57:{2,3,4,7}:{(41,1),(43,1),(67,1),(70,1)}
       58:{1,3,4,7}:{(42,1),(43,1),(68,1),(70,1)}
       59:{3,4,6,7}:{(44,1),(46,1),(61,1),(65,1),(71,1)}
       60:{1,4,5,7}:{(45,1),(46,1),(68,1),(71,1)}
       61:{3,5,6,7}:{(47,1),(59,1),(72,1)}
       62:{1,4,6,7}:{(48,1),(50,1),(74,1)}
       63:{2,4,5,6}:{(49,1),(52,1),(75,1)}
       64:{3,4,5,7}:{(49,1),(50,1),(54,1),(74,1),(75,1)}
       65:{3,6,7}:{(51,1),(54,1)}
       66:{1,2,5,6}:{(52,1),(53,1),(56,1),(78,1)}
       67:{2,3,5,7}:{(52,1),(54,1),(57,1),(75,1),(76,1),(78,1)}
       68:{1,3,5,7}:{(53,1),(54,1),(58,1),(60,1),(77,1),(78,1)}
       69:{1,2,3,6}:{(55,1),(56,1),(79,1)}
       70:{1,2,4,7}:{(56,1),(57,1),(58,1),(78,1),(79,1)}
       71:{1,4,6,7}:{(59,1),(60,1),(72,1),(77,1)}
       72:{1,5,6,7}:{(61,1),(71,1)}
       73:{1,4,5,6,7}:{(62,1),(80,1)}
       74:{3,4,6,7}:{(62,1),(64,1),(65,1),(80,1),(81,1)}
       75:{2,4,5,7}:{(63,1),(64,1),(67,1),(81,1)}
       76:{2,3,6,7}:{(65,1),(67,1),(81,1),(82,1)}
       77:{1,3,6,7}:{(65,1),(68,1),(71,1),(82,1)}
       78:{1,2,5,7}:{(66,1),(67,1),(68,1),(70,1),(82,1)}
       79:{1,2,3,7}:{(69,1),(70,1)}
       80:{3,5,6,7}:{(73,1),(74,1),(83,1)}
       81:{2,4,6,7}:{(74,1),(75,1),(76,1),(83,1)}
       82:{1,2,6,7}:{(76,1),(77,1),(78,1)}
       83:{2,5,6,7}:{(80,1),(81,1)}

2062 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(8,1),(22,1),(26,1),(27,1)}
         2:{1,2,3,5}:{(0,1),(7,1),(8,1)}
         3:{2,3,4,5}:{(7,1),(9,1),(24,1)}
         4:{1,2,3,4}:{(10,1)}
         5:{1,2,3,4,7}:{(1,1),(12,1),(18,1),(38,1),(46,1)}
         6:{1,2,3,5}:{(1,1),(13,1)}
         7:{1,2,4,5}:{(2,1),(3,1),(16,1),(17,1)}
         8:{1,2,3,6}:{(2,1),(17,1),(18,1)}
         9:{2,3,4,6}:{(3,1),(17,1),(19,1),(20,1),(42,1)}
        10:{1,2,3,5}:{(4,1),(21,1),(22,1)}
        11:{1,3,4,5}:{(21,1),(23,1),(24,1)}
        12:{1,2,3,5,7}:{(5,1),(6,1),(25,1),(26,1)}
        13:{1,2,4,5}:{(6,1),(24,1),(27,1)}
        14:{1,2,3,5,6}:{(6,1),(8,1),(22,1),(26,1),(27,1),(28,1),(33,1),(55,1),(59,1),(61,1)}
        15:{3,4,5,6}:{(29,1),(30,1),(31,1),(59,1),(89,1)}
        16:{1,3,4,5}:{(7,1),(24,1),(32,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(9,1),(32,1),(33,1),(34,1)}
        18:{1,2,3,7}:{(8,1),(34,1)}
        19:{2,3,5,6}:{(9,1),(30,1),(33,1),(35,1),(59,1)}
        20:{2,3,4,7}:{(9,1),(34,1),(35,1),(60,1)}
        21:{1,2,4,5}:{(10,1),(11,1),(36,1),(37,1)}
        22:{1,2,3,6}:{(10,1),(37,1),(38,1)}
        23:{1,3,4,6}:{(11,1),(37,1),(39,1),(40,1),(42,1)}
        24:{3,4,5}:{(13,1),(42,1)}
        25:{1,2,4,5,7}:{(12,1),(13,1),(41,1),(43,1),(46,1),(78,1)}
        26:{1,2,3,6}:{(12,1),(43,1)}
        27:{1,2,4,6}:{(13,1),(14,1),(42,1),(46,1)}
        28:{1,2,3,5,7}:{(14,1),(18,1),(38,1),(44,1),(46,1),(52,1),(72,1),(77,1),(78,1)}
        29:{1,4,5,6}:{(15,1),(39,1),(47,1)}
        30:{2,4,5,6}:{(15,1),(19,1),(48,1)}
        31:{3,4,5,7}:{(15,1),(47,1),(48,1),(49,1),(77,1),(97,1)}
        32:{1,3,4,6}:{(16,1),(17,1),(42,1),(50,1),(51,1)}
        33:{1,2,5,6}:{(17,1),(19,1),(50,1),(52,1)}
        34:{1,2,4,7}:{(17,1),(18,1),(20,1),(51,1),(52,1)}
        35:{2,3,5,7}:{(19,1),(20,1),(48,1),(52,1),(53,1),(77,1)}
        36:{2,3,4,5}:{(21,1),(24,1),(54,1)}
        37:{1,2,4,6}:{(21,1),(22,1),(23,1),(54,1),(55,1),(56,1)}
        38:{1,2,3,7}:{(22,1),(56,1)}
        39:{1,3,5,6}:{(23,1),(29,1),(55,1),(57,1),(59,1)}
        40:{1,3,4,7}:{(23,1),(56,1),(57,1),(60,1)}
        41:{3,4,5,7}:{(24,1),(25,1),(58,1),(60,1),(90,1)}
        42:{3,4,6}:{(24,1),(27,1),(59,1),(60,1)}
        43:{1,2,4,6}:{(25,1),(26,1),(58,1),(61,1)}
        44:{1,2,3,6,7}:{(26,1),(28,1),(62,1),(69,1),(87,1),(91,1)}
        45:{1,2,4,5,6}:{(27,1),(29,1),(30,1),(33,1),(55,1),(59,1),(61,1),(63,1),(67,1),(85,1),(89,1)}
        46:{1,2,4,7}:{(27,1),(28,1),(60,1)}
        47:{1,4,5,7}:{(29,1),(31,1),(57,1),(64,1)}
        48:{2,4,5,7}:{(30,1),(31,1),(35,1),(65,1)}
        49:{3,4,6,7}:{(31,1),(64,1),(65,1),(66,1),(91,1),(102,1)}
        50:{1,3,5,6}:{(32,1),(33,1),(59,1),(67,1),(68,1)}
        51:{1,3,4,7}:{(32,1),(34,1),(60,1),(68,1)}
        52:{1,2,5,7}:{(33,1),(34,1),(35,1),(68,1),(69,1)}
        53:{2,3,6,7}:{(35,1),(65,1),(69,1),(91,1)}
        54:{2,3,4,6}:{(36,1),(37,1),(42,1),(70,1),(71,1)}
        55:{1,2,5,6}:{(37,1),(39,1),(70,1),(72,1)}
        56:{1,2,4,7}:{(37,1),(38,1),(40,1),(71,1),(72,1)}
        57:{1,3,5,7}:{(39,1),(40,1),(47,1),(72,1),(73,1),(77,1)}
        58:{3,4,6}:{(41,1),(43,1),(75,1)}
        59:{3,5,6}:{(42,1),(45,1),(77,1)}
        60:{3,4,7}:{(42,1),(46,1),(77,1)}
        61:{1,2,5,6}:{(43,1),(75,1),(78,1)}
        62:{1,2,4,6,7}:{(43,1),(44,1),(46,1),(76,1),(78,1)}
        63:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(48,1),(52,1),(72,1),(77,1),(78,1),(79,1),(83,1),(94,1),(97,1)}
        64:{1,4,6,7}:{(47,1),(49,1),(73,1),(80,1)}
        65:{2,4,6,7}:{(48,1),(49,1),(53,1),(81,1)}
        66:{3,5,6,7}:{(49,1),(80,1),(81,1),(82,1)}
        67:{1,4,5,6}:{(50,1),(74,1),(83,1)}
        68:{1,3,5,7}:{(50,1),(51,1),(52,1),(77,1),(83,1),(84,1)}
        69:{1,2,6,7}:{(52,1),(53,1),(84,1)}
        70:{2,3,5,6}:{(54,1),(55,1),(59,1),(85,1),(86,1)}
        71:{2,3,4,7}:{(54,1),(56,1),(60,1),(86,1)}
        72:{1,2,5,7}:{(55,1),(56,1),(57,1),(86,1),(87,1)}
        73:{1,3,6,7}:{(57,1),(64,1),(87,1),(91,1)}
        74:{3,4,5,6}:{(59,1),(67,1),(85,1),(88,1),(89,1)}
        75:{3,5,6}:{(58,1),(61,1),(89,1),(90,1)}
        76:{3,4,6,7}:{(58,1),(60,1),(62,1),(90,1),(91,1),(102,1)}
        77:{3,5,7}:{(59,1),(60,1),(63,1),(91,1)}
        78:{1,2,5,7}:{(61,1),(62,1),(90,1)}
        79:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(69,1),(87,1),(91,1),(92,1),(93,1),(100,1),(102,1)}
        80:{1,5,6,7}:{(64,1),(66,1)}
        81:{2,5,6,7}:{(65,1),(66,1)}
        82:{4,5,6,7}:{(66,1),(102,1)}
        83:{1,4,5,7}:{(67,1),(68,1),(88,1),(93,1)}
        84:{1,3,6,7}:{(68,1),(69,1),(91,1),(93,1)}
        85:{2,4,5,6}:{(70,1),(74,1),(94,1)}
        86:{2,3,5,7}:{(70,1),(71,1),(72,1),(77,1),(94,1),(95,1)}
        87:{1,2,6,7}:{(72,1),(73,1),(95,1)}
        88:{3,4,5,7}:{(74,1),(77,1),(83,1),(94,1),(96,1),(97,1)}
        89:{4,5,6}:{(75,1),(97,1)}
        90:{3,5,7}:{(75,1),(76,1),(78,1),(97,1)}
        91:{3,6,7}:{(77,1),(79,1)}
        92:{1,2,5,6,7}:{(78,1),(79,1),(80,1),(81,1),(98,1),(99,1),(103,1)}
        93:{1,4,6,7}:{(83,1),(84,1),(96,1),(99,1)}
        94:{2,4,5,7}:{(85,1),(86,1),(88,1),(100,1)}
        95:{2,3,6,7}:{(86,1),(87,1),(91,1),(100,1)}
        96:{3,4,6,7}:{(88,1),(91,1),(93,1),(100,1),(101,1),(102,1)}
        97:{4,5,7}:{(89,1),(90,1),(102,1)}
        98:{3,5,6,7}:{(90,1),(91,1),(92,1),(102,1)}
        99:{1,5,6,7}:{(93,1),(101,1)}
       100:{2,4,6,7}:{(94,1),(95,1),(96,1),(103,1)}
       101:{3,5,6,7}:{(96,1),(99,1),(103,1),(104,1)}
       102:{4,6,7}:{(97,1),(98,1)}
       103:{2,5,6,7}:{(100,1),(101,1)}
       104:{4,5,6,7}:{(101,1),(102,1)}

2063 :   0:{1,3,4,6,7}:{(2,1),(3,1),(14,1),(39,1),(42,1),(45,1),(70,1),(73,1),(89,1),(101,1)}
         1:{2,3,4,6,7}:{(2,1),(4,1),(15,1),(40,1),(42,1),(45,1),(71,1),(74,1),(90,1),(101,1)}
         2:{1,2,4,6,7}:{(0,1),(1,1),(7,1),(8,1),(26,1),(29,1),(55,1),(56,1),(84,1),(87,1),(97,1)}
         3:{1,3,5,7}:{(0,1),(5,1),(8,1),(9,1),(30,1),(49,1),(85,1)}
         4:{2,3,5,7}:{(1,1),(6,1),(8,1),(10,1),(30,1),(50,1),(86,1)}
         5:{1,3,5,6}:{(3,1),(13,1),(14,1),(36,1),(42,1)}
         6:{2,3,5,6}:{(4,1),(13,1),(15,1),(37,1),(42,1)}
         7:{1,2,3,6,7}:{(2,1),(16,1),(42,1),(70,1),(71,1),(75,1),(96,1),(101,1)}
         8:{1,2,5,7}:{(2,1),(3,1),(4,1),(13,1),(65,1),(66,1),(95,1)}
         9:{1,4,5,7}:{(3,1),(14,1),(18,1),(89,1),(92,1)}
        10:{2,4,5,7}:{(4,1),(15,1),(19,1),(90,1),(93,1)}
        11:{1,3,5,6,7}:{(5,1),(22,1),(23,1),(49,1),(54,1),(78,1)}
        12:{2,3,5,6,7}:{(6,1),(22,1),(24,1),(50,1),(54,1),(79,1)}
        13:{1,2,5,6}:{(5,1),(6,1),(8,1),(26,1),(52,1),(53,1)}
        14:{1,4,6}:{(5,1),(9,1),(27,1)}
        15:{2,4,6}:{(6,1),(10,1),(28,1)}
        16:{1,2,3,5,7}:{(7,1),(8,1),(25,1),(29,1),(30,1),(63,1),(78,1),(79,1),(88,1),(100,1)}
        17:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(26,1),(29,1),(30,1),(31,1),(32,1),(57,1),(63,1),(97,1),(98,1)}
        18:{3,4,5,7}:{(9,1),(27,1),(30,1),(31,1),(49,1),(77,1),(80,1)}
        19:{3,4,5,7}:{(10,1),(28,1),(30,1),(32,1),(50,1),(77,1),(80,1)}
        20:{1,4,5,6}:{(14,1),(33,1),(36,1)}
        21:{2,4,5,6}:{(15,1),(34,1),(37,1)}
        22:{1,2,5,6,7}:{(11,1),(12,1),(13,1),(38,1),(65,1),(66,1),(91,1)}
        23:{1,4,6,7}:{(11,1),(14,1),(33,1),(39,1),(89,1)}
        24:{2,4,6,7}:{(12,1),(15,1),(34,1),(40,1),(90,1)}
        25:{1,2,3,5,6}:{(13,1),(16,1),(41,1),(42,1),(68,1),(69,1),(72,1),(75,1),(95,1),(96,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(42,1),(43,1),(44,1),(75,1)}
        27:{3,4,6}:{(14,1),(18,1),(36,1),(42,1),(43,1)}
        28:{3,4,6}:{(15,1),(19,1),(37,1),(42,1),(44,1)}
        29:{1,2,4,7}:{(16,1),(41,1),(45,1),(89,1),(90,1),(103,1)}
        30:{3,5,7}:{(17,1),(42,1),(45,1),(72,1),(101,1),(102,1)}
        31:{2,4,5,7}:{(18,1),(43,1),(47,1),(65,1),(90,1),(93,1)}
        32:{1,4,5,7}:{(19,1),(44,1),(46,1),(66,1),(89,1),(92,1)}
        33:{1,4,5,7}:{(20,1),(23,1),(49,1)}
        34:{2,4,5,7}:{(21,1),(24,1),(50,1)}
        35:{1,2,4,5,6}:{(20,1),(21,1),(26,1),(48,1),(51,1),(52,1),(53,1),(57,1),(81,1),(82,1),(83,1)}
        36:{3,5,6}:{(20,1),(27,1),(49,1),(52,1)}
        37:{3,5,6}:{(21,1),(28,1),(50,1),(53,1)}
        38:{1,2,4,6,7}:{(22,1),(23,1),(24,1),(26,1),(48,1),(54,1),(55,1),(56,1),(84,1),(97,1)}
        39:{3,4,6,7}:{(23,1),(27,1),(49,1),(54,1),(55,1),(77,1)}
        40:{3,4,6,7}:{(24,1),(28,1),(50,1),(54,1),(56,1),(77,1)}
        41:{1,2,4,6}:{(25,1),(29,1),(57,1),(58,1),(81,1),(82,1)}
        42:{3,6}:{(26,1),(30,1)}
        43:{2,4,6}:{(27,1),(31,1),(52,1),(60,1)}
        44:{1,4,6}:{(28,1),(32,1),(53,1),(59,1)}
        45:{3,4,7}:{(29,1),(30,1),(58,1),(104,1)}
        46:{1,3,5,7}:{(30,1),(32,1),(59,1),(61,1),(63,1),(85,1)}
        47:{2,3,5,7}:{(30,1),(31,1),(60,1),(62,1),(63,1),(86,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(38,1),(64,1),(65,1),(66,1),(89,1),(90,1),(91,1)}
        49:{3,5,7}:{(33,1),(36,1),(39,1),(65,1)}
        50:{3,5,7}:{(34,1),(37,1),(40,1),(66,1)}
        51:{3,5,6}:{(35,1),(42,1),(64,1),(67,1),(72,1)}
        52:{2,5,6}:{(36,1),(43,1),(65,1)}
        53:{1,5,6}:{(37,1),(44,1),(66,1)}
        54:{3,6,7}:{(38,1),(42,1),(64,1),(101,1)}
        55:{2,4,6,7}:{(39,1),(43,1),(65,1),(71,1),(90,1)}
        56:{1,4,6,7}:{(40,1),(44,1),(66,1),(70,1),(89,1)}
        57:{1,2,4,5}:{(41,1),(72,1),(92,1),(93,1),(95,1)}
        58:{3,4,6}:{(41,1),(42,1),(45,1),(72,1)}
        59:{1,3,6}:{(42,1),(44,1),(46,1),(75,1)}
        60:{2,3,6}:{(42,1),(43,1),(47,1),(75,1)}
        61:{1,3,4,7}:{(45,1),(46,1),(73,1),(76,1),(89,1),(101,1)}
        62:{2,3,4,7}:{(45,1),(47,1),(74,1),(76,1),(90,1),(101,1)}
        63:{1,2,5,7}:{(46,1),(47,1),(75,1),(76,1),(95,1)}
        64:{3,5,7}:{(48,1),(51,1),(54,1),(77,1)}
        65:{2,5,7}:{(49,1),(52,1),(55,1)}
        66:{1,5,7}:{(50,1),(53,1),(56,1)}
        67:{3,4,6}:{(51,1),(77,1),(80,1),(81,1),(82,1),(99,1)}
        68:{1,3,5,6}:{(51,1),(53,1),(59,1),(78,1),(81,1),(83,1),(85,1),(99,1)}
        69:{2,3,5,6}:{(51,1),(52,1),(60,1),(79,1),(82,1),(83,1),(86,1),(99,1)}
        70:{1,3,6,7}:{(54,1),(56,1),(59,1),(78,1),(84,1)}
        71:{2,3,6,7}:{(54,1),(55,1),(60,1),(79,1),(84,1)}
        72:{3,5}:{(57,1),(58,1)}
        73:{1,3,4,6}:{(58,1),(59,1),(61,1),(81,1),(85,1),(87,1),(99,1),(104,1)}
        74:{2,3,4,6}:{(58,1),(60,1),(62,1),(82,1),(86,1),(87,1),(99,1),(104,1)}
        75:{1,2,6}:{(59,1),(60,1),(63,1)}
        76:{1,2,4,7}:{(61,1),(62,1),(63,1),(87,1),(88,1)}
        77:{3,4,7}:{(64,1),(67,1),(89,1),(90,1),(101,1)}
        78:{1,3,5,7}:{(64,1),(66,1),(68,1),(70,1),(89,1),(91,1),(101,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(69,1),(71,1),(90,1),(91,1),(101,1)}
        80:{3,4,5}:{(67,1),(72,1),(92,1),(93,1),(102,1)}
        81:{1,4,6}:{(67,1),(68,1),(89,1),(92,1)}
        82:{2,4,6}:{(67,1),(69,1),(90,1),(93,1)}
        83:{1,2,5,6}:{(68,1),(69,1),(75,1),(91,1),(94,1),(95,1)}
        84:{1,2,6,7}:{(70,1),(71,1),(75,1),(91,1)}
        85:{1,3,5}:{(72,1),(73,1),(92,1),(95,1),(102,1)}
        86:{2,3,5}:{(72,1),(74,1),(93,1),(95,1),(102,1)}
        87:{1,2,4,6}:{(73,1),(74,1),(75,1),(76,1),(95,1),(96,1),(103,1)}
        88:{1,2,3,7}:{(76,1),(96,1),(101,1)}
        89:{1,4,7}:{(77,1),(78,1),(81,1)}
        90:{2,4,7}:{(77,1),(79,1),(82,1)}
        91:{1,2,5,7}:{(78,1),(79,1),(83,1),(84,1),(97,1)}
        92:{1,4,5}:{(80,1),(81,1),(85,1)}
        93:{2,4,5}:{(80,1),(82,1),(86,1)}
        94:{1,2,4,6}:{(81,1),(82,1),(83,1),(97,1),(98,1),(99,1)}
        95:{1,2,5}:{(85,1),(86,1),(87,1)}
        96:{1,2,3,6}:{(87,1),(88,1),(99,1),(100,1)}
        97:{1,2,4,7}:{(89,1),(90,1),(91,1),(94,1),(101,1)}
        98:{1,2,4,5}:{(92,1),(93,1),(94,1),(95,1),(102,1),(103,1)}
        99:{3,6}:{(94,1),(101,1),(102,1)}
       100:{1,2,3,5}:{(95,1),(96,1),(102,1),(103,1)}
       101:{3,7}:{(97,1),(99,1)}
       102:{3,5}:{(98,1),(99,1),(104,1)}
       103:{1,2,4}:{(100,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

2064 :   0:{4,5,6,7}:{(4,1),(76,1),(115,1)}
         1:{3,4,5,6}:{(5,1),(6,1),(7,1),(39,1),(83,1),(115,1),(121,1)}
         2:{2,3,4,5}:{(8,1),(9,1),(47,1),(83,1),(91,1)}
         3:{1,3,4,5}:{(10,1),(11,1),(44,1),(83,1),(89,1)}
         4:{3,5,6,7}:{(0,1),(14,1),(15,1),(16,1),(128,1)}
         5:{3,4,5,7}:{(1,1),(14,1),(19,1),(20,1),(60,1),(97,1)}
         6:{1,4,5,6}:{(1,1),(18,1),(19,1),(101,1),(132,1)}
         7:{2,4,5,6}:{(1,1),(17,1),(20,1),(103,1),(133,1)}
         8:{2,3,4,6}:{(2,1),(17,1),(22,1),(23,1),(61,1)}
         9:{1,2,4,5}:{(2,1),(23,1),(24,1),(64,1),(101,1),(107,1)}
        10:{1,3,4,6}:{(3,1),(18,1),(25,1),(26,1),(61,1)}
        11:{1,2,4,5}:{(3,1),(26,1),(27,1),(64,1),(103,1),(107,1)}
        12:{1,2,3,5,6}:{(28,1),(29,1),(57,1),(59,1),(63,1),(70,1),(72,1),(107,1),(110,1),(134,1)}
        13:{1,2,3,6,7}:{(28,1),(30,1),(94,1),(95,1),(110,1),(134,1)}
        14:{3,4,6,7}:{(4,1),(5,1),(31,1),(32,1),(75,1),(76,1),(121,1)}
        15:{1,5,6,7}:{(4,1),(31,1),(137,1)}
        16:{2,5,6,7}:{(4,1),(32,1),(138,1)}
        17:{2,3,5,6}:{(7,1),(8,1),(34,1),(35,1),(39,1),(91,1),(124,1)}
        18:{1,3,5,6}:{(6,1),(10,1),(36,1),(37,1),(39,1),(89,1),(123,1)}
        19:{1,4,5,7}:{(5,1),(6,1),(31,1),(36,1)}
        20:{2,4,5,7}:{(5,1),(7,1),(32,1),(34,1)}
        21:{1,2,4,5,6}:{(6,1),(7,1),(35,1),(37,1),(38,1),(39,1),(50,1),(79,1),(81,1),(93,1),(115,1),(118,1),(137,1),(138,1),(140,1)}
        22:{2,3,4,7}:{(8,1),(34,1),(42,1),(82,1)}
        23:{1,2,4,6}:{(8,1),(9,1),(35,1),(42,1),(43,1),(79,1)}
        24:{1,3,5}:{(9,1),(43,1),(44,1)}
        25:{1,3,4,7}:{(10,1),(36,1),(45,1),(82,1)}
        26:{1,2,4,6}:{(10,1),(11,1),(37,1),(45,1),(46,1),(81,1)}
        27:{2,3,5}:{(11,1),(46,1),(47,1)}
        28:{1,2,3,5,7}:{(12,1),(13,1),(49,1),(51,1),(78,1),(80,1),(86,1),(92,1),(122,1)}
        29:{1,2,4,6}:{(12,1),(48,1),(49,1),(50,1),(79,1),(81,1)}
        30:{1,2,4,6,7}:{(13,1),(40,1),(49,1),(51,1),(93,1),(112,1),(113,1)}
        31:{1,4,6,7}:{(14,1),(15,1),(19,1),(53,1),(132,1)}
        32:{2,4,6,7}:{(14,1),(16,1),(20,1),(52,1),(133,1)}
        33:{1,2,5,6,7}:{(15,1),(16,1),(54,1),(55,1),(72,1),(126,1),(127,1),(142,1)}
        34:{2,3,5,7}:{(17,1),(20,1),(22,1),(52,1),(56,1),(60,1)}
        35:{1,2,5,6}:{(17,1),(23,1),(56,1),(57,1),(107,1),(134,1)}
        36:{1,3,5,7}:{(18,1),(19,1),(25,1),(53,1),(58,1),(60,1)}
        37:{1,2,5,6}:{(18,1),(26,1),(58,1),(59,1),(107,1),(134,1)}
        38:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(54,1),(56,1),(58,1),(60,1),(97,1),(100,1),(102,1),(126,1),(127,1)}
        39:{3,5,6}:{(21,1),(60,1),(61,1),(70,1),(110,1),(130,1),(143,1)}
        40:{3,4,6,7}:{(30,1),(62,1),(69,1),(105,1),(110,1)}
        41:{1,2,3,5}:{(24,1),(27,1),(63,1),(64,1),(107,1)}
        42:{1,2,4,7}:{(22,1),(23,1),(56,1),(65,1),(100,1)}
        43:{1,3,6}:{(23,1),(24,1),(65,1)}
        44:{1,3,4}:{(24,1),(64,1)}
        45:{1,2,4,7}:{(25,1),(26,1),(58,1),(67,1),(102,1)}
        46:{2,3,6}:{(26,1),(27,1),(67,1)}
        47:{2,3,4}:{(27,1),(64,1)}
        48:{3,4,6}:{(29,1),(69,1),(70,1),(110,1)}
        49:{1,2,4,7}:{(28,1),(29,1),(69,1),(100,1),(102,1)}
        50:{1,2,4,5}:{(29,1),(70,1),(101,1),(103,1),(107,1)}
        51:{1,2,5,7}:{(30,1),(62,1),(72,1),(126,1),(127,1)}
        52:{2,3,6,7}:{(32,1),(34,1),(73,1),(75,1),(124,1)}
        53:{1,3,6,7}:{(31,1),(36,1),(74,1),(75,1),(123,1)}
        54:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(38,1),(73,1),(74,1),(75,1),(76,1),(93,1),(112,1),(113,1),(140,1)}
        55:{3,5,6,7}:{(33,1),(75,1),(76,1),(85,1),(114,1),(145,1)}
        56:{1,2,5,7}:{(34,1),(35,1),(42,1),(73,1),(78,1)}
        57:{1,3,5,6}:{(35,1),(39,1),(43,1),(78,1),(79,1),(89,1),(123,1),(137,1)}
        58:{1,2,5,7}:{(36,1),(37,1),(45,1),(74,1),(80,1)}
        59:{2,3,5,6}:{(37,1),(39,1),(46,1),(80,1),(81,1),(91,1),(124,1),(138,1)}
        60:{3,5,7}:{(38,1),(39,1),(75,1),(82,1)}
        61:{3,4,6}:{(39,1),(79,1),(81,1),(82,1),(83,1)}
        62:{3,5,7}:{(40,1),(51,1),(84,1),(85,1)}
        63:{1,2,3,6}:{(41,1),(43,1),(46,1),(86,1),(87,1)}
        64:{1,2,4}:{(41,1),(44,1),(47,1)}
        65:{1,3,7}:{(42,1),(43,1)}
        66:{1,3,4,6}:{(43,1),(44,1),(48,1),(79,1),(87,1),(88,1),(89,1),(116,1),(123,1)}
        67:{2,3,7}:{(45,1),(46,1)}
        68:{2,3,4,6}:{(46,1),(47,1),(48,1),(81,1),(87,1),(90,1),(91,1),(116,1),(124,1)}
        69:{3,4,7}:{(48,1),(49,1),(92,1)}
        70:{3,5}:{(48,1),(50,1)}
        71:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(84,1),(92,1),(93,1),(119,1),(120,1),(122,1)}
        72:{1,2,5,6}:{(51,1),(85,1),(93,1),(137,1),(138,1)}
        73:{1,2,6,7}:{(52,1),(56,1),(94,1),(134,1)}
        74:{1,2,6,7}:{(53,1),(58,1),(95,1),(134,1)}
        75:{3,6,7}:{(54,1),(60,1),(110,1),(143,1)}
        76:{4,6,7}:{(55,1),(97,1),(105,1),(146,1)}
        77:{1,2,3,5,6}:{(57,1),(59,1),(63,1),(98,1),(99,1),(107,1),(130,1),(134,1),(142,1),(143,1)}
        78:{1,3,5,7}:{(56,1),(57,1),(60,1),(65,1),(94,1),(100,1),(126,1)}
        79:{1,4,6}:{(57,1),(61,1),(100,1),(101,1)}
        80:{2,3,5,7}:{(58,1),(59,1),(60,1),(67,1),(95,1),(102,1),(127,1)}
        81:{2,4,6}:{(59,1),(61,1),(102,1),(103,1)}
        82:{3,4,7}:{(60,1),(61,1),(100,1),(102,1)}
        83:{3,4,5}:{(61,1),(70,1),(101,1),(103,1),(130,1)}
        84:{4,5,7}:{(62,1),(105,1)}
        85:{3,5,6}:{(62,1),(72,1),(105,1),(110,1)}
        86:{1,2,3,7}:{(63,1),(65,1),(67,1),(106,1)}
        87:{1,2,4,6}:{(63,1),(64,1),(66,1),(68,1),(106,1),(107,1),(134,1)}
        88:{1,3,4,7}:{(65,1),(66,1),(69,1),(100,1),(106,1),(108,1),(129,1)}
        89:{1,3,5}:{(66,1),(70,1),(101,1),(107,1),(130,1)}
        90:{2,3,4,7}:{(67,1),(68,1),(69,1),(102,1),(106,1),(109,1),(129,1)}
        91:{2,3,5}:{(68,1),(70,1),(103,1),(107,1),(130,1)}
        92:{3,5,7}:{(69,1),(70,1),(71,1),(110,1)}
        93:{1,2,4,6}:{(71,1),(72,1),(105,1),(110,1),(132,1),(133,1),(134,1)}
        94:{1,3,6,7}:{(73,1),(75,1),(78,1),(112,1),(123,1)}
        95:{2,3,6,7}:{(74,1),(75,1),(80,1),(113,1),(124,1)}
        96:{3,4,6,7}:{(75,1),(76,1),(82,1),(112,1),(113,1),(114,1),(121,1)}
        97:{4,5,7}:{(76,1),(114,1),(115,1)}
        98:{1,2,3,5,7}:{(77,1),(78,1),(80,1),(86,1),(111,1),(117,1),(122,1),(136,1),(139,1)}
        99:{1,2,4,6}:{(77,1),(79,1),(81,1),(116,1),(117,1),(118,1)}
       100:{1,4,7}:{(78,1),(79,1),(82,1)}
       101:{1,4,5}:{(79,1),(83,1),(89,1)}
       102:{2,4,7}:{(80,1),(81,1),(82,1)}
       103:{2,4,5}:{(81,1),(83,1),(91,1)}
       104:{3,4,5,7}:{(82,1),(83,1),(84,1),(92,1),(114,1),(119,1),(120,1),(121,1),(139,1),(144,1)}
       105:{4,6}:{(84,1),(85,1)}
       106:{1,2,4,7}:{(86,1),(87,1),(88,1),(90,1),(122,1)}
       107:{1,2,5}:{(87,1),(89,1),(91,1)}
       108:{1,3,5,7}:{(88,1),(89,1),(92,1),(119,1),(122,1),(123,1),(139,1)}
       109:{2,3,5,7}:{(90,1),(91,1),(92,1),(120,1),(122,1),(124,1),(139,1)}
       110:{3,6}:{(92,1),(93,1)}
       111:{1,2,3,6,7}:{(94,1),(95,1),(98,1),(125,1),(134,1),(143,1)}
       112:{1,4,6,7}:{(94,1),(96,1),(100,1),(126,1),(132,1)}
       113:{2,4,6,7}:{(95,1),(96,1),(102,1),(127,1),(133,1)}
       114:{3,5,7}:{(96,1),(97,1),(126,1),(127,1),(128,1)}
       115:{4,5,6}:{(97,1),(105,1),(128,1),(146,1)}
       116:{3,4,6}:{(99,1),(129,1),(130,1),(143,1)}
       117:{1,2,4,7}:{(98,1),(99,1),(100,1),(102,1),(129,1)}
       118:{1,2,4,5}:{(99,1),(101,1),(103,1),(107,1),(130,1)}
       119:{1,4,5,7}:{(100,1),(101,1),(104,1),(108,1),(126,1),(132,1)}
       120:{2,4,5,7}:{(102,1),(103,1),(104,1),(109,1),(127,1),(133,1)}
       121:{3,4,6}:{(104,1),(105,1),(110,1),(128,1),(132,1),(133,1),(143,1),(146,1)}
       122:{1,2,5,7}:{(106,1),(107,1),(108,1),(109,1),(134,1)}
       123:{1,3,6}:{(108,1),(110,1),(132,1),(134,1),(143,1)}
       124:{2,3,6}:{(109,1),(110,1),(133,1),(134,1),(143,1)}
       125:{1,2,4,6,7}:{(111,1),(112,1),(113,1),(117,1),(135,1),(136,1),(140,1)}
       126:{1,5,7}:{(112,1),(114,1),(137,1)}
       127:{2,5,7}:{(113,1),(114,1),(138,1)}
       128:{3,5,6}:{(114,1),(115,1),(121,1),(137,1),(138,1)}
       129:{3,4,7}:{(116,1),(117,1),(139,1)}
       130:{3,5}:{(116,1),(118,1)}
       131:{1,2,4,5,7}:{(117,1),(118,1),(119,1),(120,1),(122,1),(136,1),(139,1),(140,1),(144,1)}
       132:{1,4,6}:{(119,1),(121,1),(123,1),(137,1)}
       133:{2,4,6}:{(120,1),(121,1),(124,1),(138,1)}
       134:{1,2,6}:{(122,1),(123,1),(124,1)}
       135:{3,4,6,7}:{(125,1),(129,1),(141,1),(143,1),(146,1)}
       136:{1,2,5,7}:{(125,1),(126,1),(127,1),(141,1),(142,1)}
       137:{1,5,6}:{(126,1),(128,1),(132,1)}
       138:{2,5,6}:{(127,1),(128,1),(133,1)}
       139:{3,5,7}:{(129,1),(130,1),(131,1),(143,1)}
       140:{1,2,4,6}:{(131,1),(132,1),(133,1),(134,1),(142,1),(143,1),(146,1)}
       141:{3,5,7}:{(135,1),(136,1),(144,1),(145,1)}
       142:{1,2,5,6}:{(136,1),(137,1),(138,1),(140,1),(145,1)}
       143:{3,6}:{(139,1),(140,1)}
       144:{4,5,7}:{(141,1),(146,1)}
       145:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

2065 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(23,1),(27,1),(28,1),(29,1),(30,1),(57,1),(94,1),(96,1),(123,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(41,1),(42,1),(112,1),(114,1),(133,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(21,1),(22,1),(23,1),(46,1),(56,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(25,1),(26,1),(29,1),(138,1)}
         4:{3,4,6,7}:{(1,1),(7,1),(24,1),(57,1),(98,1),(137,1)}
         5:{3,5,6,7}:{(2,1),(11,1),(15,1),(67,1),(78,1)}
         6:{1,2,4,5,6}:{(3,1),(15,1),(41,1),(42,1),(44,1)}
         7:{3,5,7}:{(3,1),(4,1),(15,1),(139,1)}
         8:{1,3,4,6,7}:{(4,1),(16,1),(18,1),(41,1),(73,1),(83,1),(84,1),(112,1),(118,1)}
         9:{2,3,4,6,7}:{(4,1),(17,1),(18,1),(42,1),(76,1),(83,1),(84,1),(114,1),(119,1)}
        10:{1,2,3,5,6,7}:{(19,1),(23,1),(47,1),(57,1),(64,1),(89,1),(90,1),(91,1),(92,1),(94,1),(96,1)}
        11:{3,4,6,7}:{(5,1),(20,1),(21,1),(22,1),(24,1),(57,1),(86,1),(98,1)}
        12:{1,3,5,6,7}:{(5,1),(21,1),(23,1),(27,1),(52,1),(57,1),(89,1),(94,1)}
        13:{2,3,5,6,7}:{(5,1),(22,1),(23,1),(28,1),(50,1),(57,1),(90,1),(96,1)}
        14:{3,4,5,7}:{(7,1),(24,1),(25,1),(26,1),(63,1),(98,1),(127,1)}
        15:{3,5,6}:{(6,1),(7,1),(24,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(25,1),(27,1),(29,1),(63,1),(129,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(26,1),(28,1),(29,1),(63,1),(130,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(62,1),(65,1),(128,1)}
        19:{1,2,4,6,7}:{(10,1),(31,1),(32,1),(85,1),(106,1),(107,1),(112,1),(114,1)}
        20:{3,4,5,7}:{(11,1),(35,1),(36,1),(37,1),(78,1)}
        21:{1,4,6,7}:{(11,1),(12,1),(36,1),(41,1),(106,1),(112,1)}
        22:{2,4,6,7}:{(11,1),(13,1),(37,1),(42,1),(107,1),(114,1)}
        23:{1,2,5,6,7}:{(12,1),(13,1),(38,1),(44,1),(72,1),(75,1),(109,1)}
        24:{3,4,6}:{(14,1),(15,1),(41,1),(42,1),(83,1)}
        25:{1,4,5,7}:{(14,1),(16,1),(41,1),(112,1),(134,1)}
        26:{2,4,5,7}:{(14,1),(17,1),(42,1),(114,1),(135,1)}
        27:{1,3,5,6}:{(15,1),(16,1),(41,1),(44,1),(83,1)}
        28:{2,3,5,6}:{(15,1),(17,1),(42,1),(44,1),(83,1)}
        29:{1,2,5,7}:{(16,1),(17,1),(18,1),(44,1),(136,1)}
        30:{1,2,3,6,7}:{(18,1),(45,1),(73,1),(76,1),(83,1),(116,1)}
        31:{1,2,4,5,7}:{(19,1),(46,1),(47,1),(87,1),(88,1),(91,1),(105,1)}
        32:{3,4,6,7}:{(19,1),(47,1),(57,1),(86,1),(98,1),(104,1)}
        33:{2,3,4,6,7}:{(22,1),(50,1),(51,1),(57,1),(58,1),(98,1)}
        34:{1,3,4,6,7}:{(21,1),(52,1),(53,1),(57,1),(60,1),(98,1)}
        35:{3,4,5,6}:{(20,1),(24,1),(54,1),(55,1),(86,1),(97,1),(127,1)}
        36:{1,4,5,7}:{(20,1),(21,1),(52,1),(54,1)}
        37:{2,4,5,7}:{(20,1),(22,1),(50,1),(55,1)}
        38:{1,2,4,6,7}:{(21,1),(22,1),(23,1),(56,1),(57,1),(62,1),(121,1)}
        39:{2,3,4,5,7}:{(26,1),(50,1),(58,1),(59,1),(63,1),(88,1),(98,1),(103,1),(122,1),(127,1),(130,1)}
        40:{1,3,4,5,7}:{(25,1),(52,1),(60,1),(61,1),(63,1),(87,1),(98,1),(101,1),(122,1),(127,1),(129,1)}
        41:{1,4,6}:{(24,1),(25,1),(27,1)}
        42:{2,4,6}:{(24,1),(26,1),(28,1)}
        43:{1,2,4,5,7}:{(25,1),(26,1),(29,1),(62,1),(63,1),(65,1),(105,1)}
        44:{1,2,5,6}:{(27,1),(28,1),(29,1),(62,1)}
        45:{1,2,3,5,7}:{(29,1),(30,1),(63,1),(64,1),(65,1),(94,1),(96,1)}
        46:{1,2,4,5,6}:{(31,1),(67,1),(106,1),(107,1),(109,1)}
        47:{3,5,7}:{(31,1),(32,1),(67,1),(120,1)}
        48:{1,3,4,6,7}:{(32,1),(68,1),(70,1),(73,1),(106,1),(112,1),(118,1),(131,1),(132,1)}
        49:{2,3,4,6,7}:{(32,1),(69,1),(70,1),(76,1),(107,1),(114,1),(119,1),(131,1),(132,1)}
        50:{2,3,5,7}:{(33,1),(37,1),(71,1),(72,1),(78,1)}
        51:{1,2,4,6,7}:{(33,1),(72,1),(73,1),(79,1),(112,1)}
        52:{1,3,5,7}:{(34,1),(36,1),(74,1),(75,1),(78,1)}
        53:{1,2,4,6,7}:{(34,1),(75,1),(76,1),(81,1),(114,1)}
        54:{1,4,5,6}:{(35,1),(36,1),(41,1),(74,1),(106,1),(134,1)}
        55:{2,4,5,6}:{(35,1),(37,1),(42,1),(71,1),(107,1),(135,1)}
        56:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(72,1),(75,1),(77,1),(78,1),(112,1),(114,1)}
        57:{3,6,7}:{(38,1),(78,1),(83,1),(131,1)}
        58:{2,3,4,6}:{(39,1),(42,1),(71,1),(79,1),(83,1),(107,1),(115,1),(131,1)}
        59:{1,2,4,5,7}:{(39,1),(72,1),(79,1),(80,1),(112,1),(117,1),(134,1),(136,1)}
        60:{1,3,4,6}:{(40,1),(41,1),(74,1),(81,1),(83,1),(106,1),(115,1),(131,1)}
        61:{1,2,4,5,7}:{(40,1),(75,1),(81,1),(82,1),(114,1),(117,1),(135,1),(136,1)}
        62:{1,2,4,6}:{(41,1),(42,1),(43,1),(44,1),(83,1)}
        63:{3,5,7}:{(43,1),(83,1),(84,1),(120,1)}
        64:{1,2,3,5,6}:{(44,1),(45,1),(83,1),(85,1),(111,1),(113,1),(116,1),(120,1),(136,1)}
        65:{1,2,4,7}:{(45,1),(84,1),(85,1),(112,1),(114,1)}
        66:{3,4,5,7}:{(47,1),(86,1),(87,1),(88,1),(98,1),(122,1),(127,1)}
        67:{3,5,6}:{(46,1),(47,1),(86,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(87,1),(89,1),(91,1),(122,1),(129,1)}
        69:{2,3,5,7}:{(47,1),(49,1),(88,1),(90,1),(91,1),(122,1),(130,1)}
        70:{1,2,4,6,7}:{(48,1),(49,1),(91,1),(92,1),(121,1),(124,1),(128,1)}
        71:{2,3,5,6}:{(50,1),(55,1),(58,1),(93,1),(97,1),(130,1)}
        72:{1,2,5,7}:{(50,1),(51,1),(93,1),(94,1)}
        73:{1,3,6,7}:{(51,1),(57,1),(94,1),(100,1)}
        74:{1,3,5,6}:{(52,1),(54,1),(60,1),(95,1),(97,1),(129,1)}
        75:{1,2,5,7}:{(52,1),(53,1),(95,1),(96,1)}
        76:{2,3,6,7}:{(53,1),(57,1),(96,1),(102,1)}
        77:{1,2,4,5,6}:{(54,1),(55,1),(56,1),(62,1),(93,1),(95,1),(97,1),(105,1),(121,1),(125,1),(126,1),(138,1)}
        78:{3,5,7}:{(56,1),(57,1),(97,1),(98,1)}
        79:{1,2,4,6}:{(58,1),(59,1),(93,1),(100,1),(125,1)}
        80:{1,3,5,7}:{(59,1),(63,1),(100,1),(101,1),(122,1),(129,1)}
        81:{1,2,4,6}:{(60,1),(61,1),(95,1),(102,1),(126,1)}
        82:{2,3,5,7}:{(61,1),(63,1),(102,1),(103,1),(122,1),(130,1)}
        83:{3,6}:{(62,1),(63,1)}
        84:{3,4,7}:{(63,1),(65,1),(104,1)}
        85:{1,2,4,6}:{(64,1),(65,1),(104,1),(105,1),(125,1),(126,1)}
        86:{3,4,6}:{(66,1),(67,1),(106,1),(107,1),(131,1)}
        87:{1,4,5,7}:{(66,1),(68,1),(106,1),(112,1),(134,1)}
        88:{2,4,5,7}:{(66,1),(69,1),(107,1),(114,1),(135,1)}
        89:{1,3,5,6}:{(67,1),(68,1),(106,1),(109,1),(131,1)}
        90:{2,3,5,6}:{(67,1),(69,1),(107,1),(109,1),(131,1)}
        91:{1,2,5,7}:{(68,1),(69,1),(70,1),(109,1),(136,1)}
        92:{1,2,3,6,7}:{(70,1),(73,1),(76,1),(110,1),(116,1),(131,1)}
        93:{1,2,5,6}:{(71,1),(72,1),(79,1),(111,1),(136,1)}
        94:{1,3,5,7}:{(72,1),(73,1),(78,1),(111,1),(112,1)}
        95:{1,2,5,6}:{(74,1),(75,1),(81,1),(113,1),(136,1)}
        96:{2,3,5,7}:{(75,1),(76,1),(78,1),(113,1),(114,1)}
        97:{3,5,6}:{(77,1),(78,1),(83,1),(115,1),(120,1),(131,1),(139,1)}
        98:{3,4,7}:{(78,1),(112,1),(114,1),(115,1)}
        99:{1,2,3,5,7}:{(80,1),(82,1),(116,1),(117,1),(136,1)}
       100:{1,3,6}:{(79,1),(80,1),(83,1),(131,1)}
       101:{1,3,4,7}:{(80,1),(84,1),(112,1),(117,1),(118,1),(132,1)}
       102:{2,3,6}:{(81,1),(82,1),(83,1),(131,1)}
       103:{2,3,4,7}:{(82,1),(84,1),(114,1),(117,1),(119,1),(132,1)}
       104:{3,4,6}:{(83,1),(84,1),(85,1),(120,1)}
       105:{1,2,4,5}:{(85,1),(120,1),(134,1),(135,1),(136,1)}
       106:{1,4,6}:{(86,1),(87,1),(89,1)}
       107:{2,4,6}:{(86,1),(88,1),(90,1)}
       108:{1,2,4,5,7}:{(87,1),(88,1),(91,1),(121,1),(122,1),(124,1),(138,1)}
       109:{1,2,5,6}:{(89,1),(90,1),(91,1),(121,1)}
       110:{1,2,3,5,7}:{(91,1),(92,1),(94,1),(96,1),(122,1),(123,1),(124,1)}
       111:{1,3,5,6}:{(93,1),(94,1),(97,1),(100,1),(125,1),(129,1)}
       112:{1,4,7}:{(94,1),(98,1),(125,1)}
       113:{2,3,5,6}:{(95,1),(96,1),(97,1),(102,1),(126,1),(130,1)}
       114:{2,4,7}:{(96,1),(98,1),(126,1)}
       115:{3,4,6}:{(97,1),(98,1),(125,1),(126,1),(127,1)}
       116:{1,2,3,6}:{(99,1),(100,1),(102,1),(128,1)}
       117:{1,2,4,7}:{(99,1),(101,1),(103,1),(128,1)}
       118:{1,3,4,6}:{(100,1),(101,1),(104,1),(125,1),(128,1),(129,1),(137,1)}
       119:{2,3,4,6}:{(102,1),(103,1),(104,1),(126,1),(128,1),(130,1),(137,1)}
       120:{3,5}:{(104,1),(105,1)}
       121:{1,2,4,6}:{(106,1),(107,1),(108,1),(109,1),(131,1)}
       122:{3,5,7}:{(108,1),(131,1),(132,1),(139,1)}
       123:{1,2,3,5,6}:{(109,1),(110,1),(111,1),(113,1),(116,1),(131,1),(133,1),(136,1),(139,1)}
       124:{1,2,4,7}:{(110,1),(112,1),(114,1),(132,1),(133,1)}
       125:{1,4,6}:{(111,1),(112,1),(115,1),(134,1)}
       126:{2,4,6}:{(113,1),(114,1),(115,1),(135,1)}
       127:{3,4,5}:{(115,1),(120,1),(134,1),(135,1),(139,1)}
       128:{1,2,4,6}:{(116,1),(117,1),(118,1),(119,1),(136,1)}
       129:{1,3,5}:{(118,1),(120,1),(134,1),(136,1),(139,1)}
       130:{2,3,5}:{(119,1),(120,1),(135,1),(136,1),(139,1)}
       131:{3,6}:{(121,1),(122,1)}
       132:{3,4,7}:{(122,1),(124,1),(137,1)}
       133:{1,2,4,6}:{(123,1),(124,1),(125,1),(126,1),(137,1),(138,1)}
       134:{1,4,5}:{(125,1),(127,1),(129,1)}
       135:{2,4,5}:{(126,1),(127,1),(130,1)}
       136:{1,2,5}:{(128,1),(129,1),(130,1)}
       137:{3,4,6}:{(131,1),(132,1),(133,1),(139,1)}
       138:{1,2,4,5}:{(133,1),(134,1),(135,1),(136,1),(139,1)}
       139:{3,5}:{(137,1),(138,1)}

2066 :  0:{1,3,4,5,7}:{(2,1),(3,1),(12,1),(60,1),(63,1)}
        1:{2,3,4,5,7}:{(2,1),(4,1),(13,1),(60,1),(63,1)}
        2:{1,2,4,5,7}:{(0,1),(1,1),(7,1),(8,1),(22,1),(47,1),(51,1)}
        3:{1,3,4,6}:{(0,1),(8,1),(9,1),(52,1)}
        4:{2,3,4,6}:{(1,1),(8,1),(10,1),(52,1)}
        5:{1,3,4,6,7}:{(3,1),(11,1),(12,1),(31,1),(57,1),(60,1)}
        6:{2,3,4,6,7}:{(4,1),(11,1),(13,1),(32,1),(57,1),(60,1)}
        7:{1,2,3,5,7}:{(2,1),(14,1),(15,1),(37,1)}
        8:{1,2,4,6}:{(2,1),(3,1),(4,1),(15,1),(16,1)}
        9:{1,3,5,6}:{(3,1),(12,1),(16,1),(17,1),(39,1)}
       10:{2,3,5,6}:{(4,1),(13,1),(16,1),(18,1),(39,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(8,1),(21,1),(22,1),(47,1)}
       12:{1,3,5,7}:{(5,1),(9,1),(22,1),(23,1),(48,1)}
       13:{2,3,5,7}:{(6,1),(10,1),(22,1),(24,1),(48,1)}
       14:{1,2,3,4,7}:{(7,1),(25,1),(47,1),(81,1)}
       15:{1,2,3,6}:{(7,1),(8,1)}
       16:{1,2,5,6}:{(8,1),(9,1),(10,1),(22,1)}
       17:{1,4,5,6}:{(9,1),(23,1),(28,1)}
       18:{2,4,5,6}:{(10,1),(24,1),(29,1)}
       19:{1,3,5,6,7}:{(12,1),(30,1),(31,1),(55,1),(57,1)}
       20:{2,3,5,6,7}:{(13,1),(30,1),(32,1),(56,1),(57,1)}
       21:{1,2,3,6,7}:{(11,1),(15,1),(33,1),(57,1),(77,1)}
       22:{1,2,5,7}:{(11,1),(12,1),(13,1),(16,1)}
       23:{1,4,5,7}:{(12,1),(17,1),(31,1),(35,1)}
       24:{2,4,5,7}:{(13,1),(18,1),(32,1),(36,1)}
       25:{1,2,3,4,6}:{(14,1),(15,1),(37,1),(38,1),(80,1),(83,1)}
       26:{1,2,3,5,6}:{(15,1),(16,1),(33,1),(37,1),(38,1),(39,1),(66,1),(80,1)}
       27:{1,2,4,5,6}:{(16,1),(17,1),(18,1),(34,1),(38,1),(39,1),(40,1),(41,1),(66,1)}
       28:{3,4,5,6}:{(17,1),(35,1),(39,1),(40,1)}
       29:{3,4,5,6}:{(18,1),(36,1),(39,1),(41,1)}
       30:{1,2,5,6,7}:{(19,1),(20,1),(22,1),(44,1),(67,1),(68,1)}
       31:{1,4,6,7}:{(19,1),(23,1),(45,1)}
       32:{2,4,6,7}:{(20,1),(24,1),(46,1)}
       33:{1,2,3,5,7}:{(21,1),(22,1),(26,1),(47,1),(48,1),(73,1),(81,1)}
       34:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(27,1),(44,1),(47,1),(48,1),(49,1),(50,1),(73,1)}
       35:{3,4,5,7}:{(23,1),(28,1),(45,1),(48,1),(49,1)}
       36:{3,4,5,7}:{(24,1),(29,1),(46,1),(48,1),(50,1)}
       37:{1,2,3,5}:{(25,1),(51,1)}
       38:{1,2,4,6}:{(26,1),(47,1),(51,1),(52,1)}
       39:{3,5,6}:{(27,1),(48,1),(52,1)}
       40:{2,4,5,6}:{(28,1),(49,1),(54,1)}
       41:{1,4,5,6}:{(29,1),(50,1),(53,1)}
       42:{1,4,5,6,7}:{(31,1),(55,1)}
       43:{2,4,5,6,7}:{(32,1),(56,1)}
       44:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(34,1),(57,1),(58,1),(59,1),(77,1)}
       45:{3,4,6,7}:{(31,1),(35,1),(55,1),(57,1),(58,1)}
       46:{3,4,6,7}:{(32,1),(36,1),(56,1),(57,1),(59,1)}
       47:{1,2,4,7}:{(33,1),(38,1),(60,1)}
       48:{3,5,7}:{(34,1),(39,1),(57,1),(60,1)}
       49:{2,4,5,7}:{(35,1),(40,1),(58,1),(62,1)}
       50:{1,4,5,7}:{(36,1),(41,1),(59,1),(61,1)}
       51:{1,2,4,5}:{(37,1),(38,1),(63,1)}
       52:{3,4,6}:{(38,1),(39,1),(60,1),(63,1)}
       53:{1,3,5,6}:{(39,1),(41,1),(61,1),(64,1),(66,1)}
       54:{2,3,5,6}:{(39,1),(40,1),(62,1),(65,1),(66,1)}
       55:{3,5,6,7}:{(42,1),(45,1),(67,1)}
       56:{3,5,6,7}:{(43,1),(46,1),(68,1)}
       57:{3,6,7}:{(44,1),(48,1)}
       58:{2,4,6,7}:{(45,1),(49,1),(67,1),(70,1)}
       59:{1,4,6,7}:{(46,1),(50,1),(68,1),(69,1)}
       60:{3,4,7}:{(47,1),(48,1),(52,1)}
       61:{1,3,5,7}:{(48,1),(50,1),(53,1),(69,1),(71,1),(73,1)}
       62:{2,3,5,7}:{(48,1),(49,1),(54,1),(70,1),(72,1),(73,1)}
       63:{3,4,5}:{(51,1),(52,1)}
       64:{1,3,4,6}:{(52,1),(53,1),(71,1),(74,1),(76,1)}
       65:{2,3,4,6}:{(52,1),(54,1),(72,1),(75,1),(76,1)}
       66:{1,2,5,6}:{(53,1),(54,1),(73,1),(76,1)}
       67:{2,5,6,7}:{(55,1),(58,1)}
       68:{1,5,6,7}:{(56,1),(59,1)}
       69:{1,3,6,7}:{(57,1),(59,1),(61,1),(77,1)}
       70:{2,3,6,7}:{(57,1),(58,1),(62,1),(77,1)}
       71:{1,3,4,7}:{(60,1),(61,1),(64,1),(78,1)}
       72:{2,3,4,7}:{(60,1),(62,1),(65,1),(78,1)}
       73:{1,2,5,7}:{(61,1),(62,1),(66,1),(77,1),(78,1)}
       74:{1,3,4,5}:{(63,1),(64,1),(79,1)}
       75:{2,3,4,5}:{(63,1),(65,1),(79,1)}
       76:{1,2,4,6}:{(64,1),(65,1),(66,1),(78,1),(79,1),(80,1)}
       77:{1,2,6,7}:{(69,1),(70,1),(73,1)}
       78:{1,2,4,7}:{(71,1),(72,1),(73,1),(76,1),(81,1)}
       79:{1,2,4,5}:{(74,1),(75,1),(76,1),(82,1)}
       80:{1,2,3,6}:{(76,1),(81,1),(82,1)}
       81:{1,2,3,7}:{(78,1),(80,1)}
       82:{1,2,3,5}:{(79,1),(80,1),(83,1)}
       83:{1,2,3,4}:{(82,1)}

2067 :   0:{2,3,4,5,7}:{(2,1),(3,1),(24,1),(36,1),(91,1),(141,1),(142,1),(149,1),(187,1),(189,1)}
         1:{1,3,4,5,7}:{(4,1),(5,1),(28,1),(32,1),(83,1),(143,1),(147,1),(148,1),(187,1),(191,1)}
         2:{2,3,4,6}:{(0,1),(9,1),(11,1),(111,1),(174,1),(201,1),(202,1)}
         3:{1,2,4,5,7}:{(0,1),(11,1),(12,1),(46,1),(51,1),(107,1),(112,1),(113,1)}
         4:{1,3,4,6}:{(1,1),(14,1),(16,1),(118,1),(170,1),(201,1),(203,1)}
         5:{1,2,4,5,7}:{(1,1),(16,1),(17,1),(46,1),(59,1),(107,1),(119,1),(120,1)}
         6:{2,4,5,6,7}:{(18,1),(64,1),(180,1)}
         7:{1,4,5,6,7}:{(19,1),(66,1),(177,1)}
         8:{3,4,5,6}:{(21,1),(22,1),(23,1),(79,1),(148,1),(192,1)}
         9:{2,3,5,6}:{(2,1),(23,1),(24,1),(25,1),(79,1),(91,1),(204,1)}
        10:{2,3,4,6,7}:{(2,1),(24,1),(26,1),(64,1),(123,1),(141,1),(175,1)}
        11:{1,2,4,6}:{(2,1),(3,1),(25,1),(27,1),(81,1)}
        12:{1,3,5,7}:{(3,1),(27,1),(28,1),(83,1),(187,1)}
        13:{3,4,5,6}:{(29,1),(30,1),(31,1),(87,1),(142,1),(190,1)}
        14:{1,3,5,6}:{(4,1),(30,1),(32,1),(33,1),(83,1),(87,1),(205,1)}
        15:{1,3,4,6,7}:{(4,1),(32,1),(34,1),(66,1),(126,1),(147,1),(178,1)}
        16:{1,2,4,6}:{(4,1),(5,1),(33,1),(35,1),(89,1)}
        17:{2,3,5,7}:{(5,1),(35,1),(36,1),(91,1),(187,1)}
        18:{3,5,6,7}:{(6,1),(37,1),(38,1),(196,1)}
        19:{3,5,6,7}:{(7,1),(40,1),(42,1),(194,1)}
        20:{1,2,3,5,7}:{(12,1),(17,1),(45,1),(46,1),(107,1)}
        21:{3,4,5,7}:{(8,1),(37,1),(48,1),(49,1),(110,1)}
        22:{1,4,5,6}:{(8,1),(47,1),(48,1),(172,1),(203,1)}
        23:{2,4,5,6}:{(8,1),(9,1),(49,1),(120,1),(174,1)}
        24:{2,3,5,7}:{(9,1),(10,1),(49,1),(51,1),(110,1),(193,1)}
        25:{1,2,5,6}:{(9,1),(11,1),(51,1),(52,1),(107,1)}
        26:{1,2,4,6,7}:{(10,1),(11,1),(51,1),(53,1),(112,1)}
        27:{1,3,6}:{(11,1),(12,1),(201,1)}
        28:{1,3,4,7}:{(12,1),(46,1),(54,1),(112,1),(163,1)}
        29:{3,4,5,7}:{(13,1),(40,1),(56,1),(57,1),(117,1)}
        30:{1,4,5,6}:{(13,1),(14,1),(56,1),(113,1),(170,1)}
        31:{2,4,5,6}:{(13,1),(55,1),(57,1),(168,1),(202,1)}
        32:{1,3,5,7}:{(14,1),(15,1),(56,1),(59,1),(117,1),(195,1)}
        33:{1,2,5,6}:{(14,1),(16,1),(59,1),(60,1),(107,1)}
        34:{1,2,4,6,7}:{(15,1),(16,1),(59,1),(61,1),(119,1)}
        35:{2,3,6}:{(16,1),(17,1),(201,1)}
        36:{2,3,4,7}:{(17,1),(46,1),(62,1),(119,1),(163,1)}
        37:{3,4,6,7}:{(18,1),(21,1),(63,1),(64,1),(123,1),(192,1)}
        38:{1,5,6,7}:{(18,1),(63,1),(205,1)}
        39:{2,3,5,6,7}:{(18,1),(24,1),(64,1),(65,1),(123,1),(150,1)}
        40:{3,4,6,7}:{(19,1),(29,1),(66,1),(67,1),(126,1),(190,1)}
        41:{1,3,5,6,7}:{(19,1),(32,1),(66,1),(68,1),(126,1),(144,1)}
        42:{2,5,6,7}:{(19,1),(67,1),(204,1)}
        43:{2,3,4,5}:{(69,1),(70,1),(134,1),(148,1),(186,1)}
        44:{1,3,4,5}:{(71,1),(72,1),(131,1),(142,1),(184,1)}
        45:{1,2,3,6}:{(20,1),(27,1),(35,1),(75,1)}
        46:{1,2,4,7}:{(20,1),(28,1),(36,1),(75,1)}
        47:{1,3,5,6}:{(22,1),(71,1),(76,1),(77,1),(79,1),(184,1),(207,1)}
        48:{1,4,5,7}:{(21,1),(22,1),(63,1),(76,1)}
        49:{2,4,5,7}:{(21,1),(23,1),(24,1),(64,1)}
        50:{1,2,4,5,6}:{(22,1),(23,1),(25,1),(77,1),(78,1),(79,1),(81,1),(137,1),(140,1),(177,1),(188,1),(204,1)}
        51:{1,2,5,7}:{(24,1),(25,1),(26,1),(80,1)}
        52:{1,3,5,6}:{(25,1),(27,1),(79,1),(80,1),(81,1),(83,1)}
        53:{1,3,6,7}:{(26,1),(27,1),(80,1),(123,1)}
        54:{1,3,4,6}:{(27,1),(28,1),(75,1),(81,1),(83,1),(135,1)}
        55:{2,3,5,6}:{(31,1),(69,1),(84,1),(85,1),(87,1),(186,1),(208,1)}
        56:{1,4,5,7}:{(29,1),(30,1),(32,1),(66,1)}
        57:{2,4,5,7}:{(29,1),(31,1),(67,1),(84,1)}
        58:{1,2,4,5,6}:{(30,1),(31,1),(33,1),(85,1),(86,1),(87,1),(89,1),(137,1),(146,1),(180,1),(188,1),(205,1)}
        59:{1,2,5,7}:{(32,1),(33,1),(34,1),(88,1)}
        60:{2,3,5,6}:{(33,1),(35,1),(87,1),(88,1),(89,1),(91,1)}
        61:{2,3,6,7}:{(34,1),(35,1),(88,1),(126,1)}
        62:{2,3,4,6}:{(35,1),(36,1),(75,1),(89,1),(91,1),(135,1)}
        63:{1,4,6,7}:{(37,1),(38,1),(48,1),(92,1),(203,1)}
        64:{2,4,6,7}:{(37,1),(39,1),(49,1),(174,1)}
        65:{1,2,5,6,7}:{(38,1),(39,1),(51,1),(93,1),(94,1),(166,1),(193,1)}
        66:{1,4,6,7}:{(40,1),(41,1),(56,1),(170,1)}
        67:{2,4,6,7}:{(40,1),(42,1),(57,1),(95,1),(202,1)}
        68:{1,2,5,6,7}:{(41,1),(42,1),(59,1),(96,1),(97,1),(166,1),(195,1)}
        69:{2,3,4,6}:{(43,1),(55,1),(98,1),(99,1),(118,1)}
        70:{1,2,4,5}:{(43,1),(99,1),(100,1),(158,1),(172,1),(198,1)}
        71:{1,3,4,6}:{(44,1),(47,1),(101,1),(102,1),(111,1)}
        72:{1,2,4,5}:{(44,1),(102,1),(103,1),(158,1),(168,1),(198,1)}
        73:{1,2,3,5,6}:{(45,1),(52,1),(60,1),(104,1),(105,1),(107,1),(109,1),(116,1),(157,1),(164,1),(166,1),(198,1),(201,1),(209,1)}
        74:{1,2,3,6,7}:{(45,1),(53,1),(61,1),(104,1),(106,1),(151,1),(154,1),(201,1),(209,1)}
        75:{1,2,4,6}:{(45,1),(46,1),(54,1),(62,1),(107,1)}
        76:{1,3,5,7}:{(47,1),(48,1),(92,1),(101,1),(108,1),(110,1)}
        77:{1,2,5,6}:{(47,1),(102,1),(108,1),(109,1),(198,1),(209,1)}
        78:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(51,1),(93,1),(108,1),(110,1),(112,1),(153,1),(167,1),(193,1)}
        79:{3,5,6}:{(50,1),(110,1),(111,1),(164,1),(201,1)}
        80:{1,3,5,7}:{(51,1),(52,1),(53,1),(110,1),(112,1)}
        81:{1,4,6}:{(52,1),(111,1),(112,1),(113,1)}
        82:{1,3,4,6,7}:{(53,1),(54,1),(106,1),(112,1),(114,1),(152,1),(163,1),(170,1),(201,1)}
        83:{1,3,5}:{(54,1),(107,1),(113,1),(164,1)}
        84:{2,3,5,7}:{(55,1),(57,1),(95,1),(98,1),(115,1),(117,1)}
        85:{1,2,5,6}:{(55,1),(99,1),(115,1),(116,1),(198,1),(209,1)}
        86:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(59,1),(96,1),(115,1),(117,1),(119,1),(156,1),(171,1),(195,1)}
        87:{3,5,6}:{(58,1),(117,1),(118,1),(164,1),(201,1)}
        88:{2,3,5,7}:{(59,1),(60,1),(61,1),(117,1),(119,1)}
        89:{2,4,6}:{(60,1),(118,1),(119,1),(120,1)}
        90:{2,3,4,6,7}:{(61,1),(62,1),(106,1),(119,1),(121,1),(155,1),(163,1),(174,1),(201,1)}
        91:{2,3,5}:{(62,1),(107,1),(120,1),(164,1)}
        92:{1,3,6,7}:{(63,1),(76,1),(122,1),(123,1),(207,1)}
        93:{1,2,4,6,7}:{(63,1),(64,1),(65,1),(78,1),(122,1),(123,1),(124,1),(175,1),(188,1)}
        94:{1,3,5,6,7}:{(65,1),(80,1),(123,1),(124,1),(144,1),(176,1)}
        95:{2,3,6,7}:{(67,1),(84,1),(125,1),(126,1),(208,1)}
        96:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(86,1),(125,1),(126,1),(127,1),(178,1),(188,1)}
        97:{2,3,5,6,7}:{(68,1),(88,1),(126,1),(127,1),(150,1),(179,1)}
        98:{2,3,4,7}:{(69,1),(84,1),(129,1),(147,1)}
        99:{1,2,4,6}:{(69,1),(70,1),(85,1),(129,1),(130,1),(146,1)}
       100:{1,3,5}:{(70,1),(130,1),(131,1)}
       101:{1,3,4,7}:{(71,1),(76,1),(132,1),(141,1)}
       102:{1,2,4,6}:{(71,1),(72,1),(77,1),(132,1),(133,1),(140,1)}
       103:{2,3,5}:{(72,1),(133,1),(134,1)}
       104:{1,2,3,5,7}:{(73,1),(74,1),(80,1),(88,1),(136,1),(138,1),(139,1),(145,1),(181,1),(187,1),(206,1)}
       105:{1,2,4,6}:{(73,1),(81,1),(89,1),(135,1),(136,1),(137,1),(140,1),(146,1)}
       106:{1,2,4,6,7}:{(74,1),(75,1),(82,1),(90,1),(136,1),(138,1),(175,1),(178,1),(188,1)}
       107:{1,2,5}:{(75,1),(83,1),(91,1)}
       108:{1,2,5,7}:{(76,1),(77,1),(122,1),(132,1),(139,1)}
       109:{2,3,5,6}:{(77,1),(79,1),(133,1),(139,1),(140,1),(186,1),(204,1),(208,1)}
       110:{3,5,7}:{(78,1),(79,1),(123,1),(141,1)}
       111:{3,4,6}:{(79,1),(81,1),(140,1),(141,1),(142,1)}
       112:{1,4,7}:{(80,1),(81,1),(141,1)}
       113:{1,4,5}:{(81,1),(83,1),(142,1)}
       114:{1,3,5,7}:{(82,1),(83,1),(138,1),(143,1),(144,1),(176,1),(187,1)}
       115:{1,2,5,7}:{(84,1),(85,1),(125,1),(129,1),(145,1)}
       116:{1,3,5,6}:{(85,1),(87,1),(130,1),(145,1),(146,1),(184,1),(205,1),(207,1)}
       117:{3,5,7}:{(86,1),(87,1),(126,1),(147,1)}
       118:{3,4,6}:{(87,1),(89,1),(146,1),(147,1),(148,1)}
       119:{2,4,7}:{(88,1),(89,1),(147,1)}
       120:{2,4,5}:{(89,1),(91,1),(148,1)}
       121:{2,3,5,7}:{(90,1),(91,1),(138,1),(149,1),(150,1),(179,1),(187,1)}
       122:{1,2,6,7}:{(92,1),(108,1),(151,1),(209,1)}
       123:{3,6,7}:{(93,1),(110,1),(201,1)}
       124:{1,4,6,7}:{(94,1),(112,1),(152,1),(153,1),(170,1)}
       125:{1,2,6,7}:{(95,1),(115,1),(154,1),(209,1)}
       126:{3,6,7}:{(96,1),(117,1),(201,1)}
       127:{2,4,6,7}:{(97,1),(119,1),(155,1),(156,1),(174,1)}
       128:{1,2,3,5}:{(100,1),(103,1),(157,1),(158,1),(198,1)}
       129:{1,2,4,7}:{(98,1),(99,1),(115,1),(159,1),(171,1)}
       130:{1,3,6}:{(99,1),(100,1),(159,1)}
       131:{1,3,4}:{(100,1),(158,1)}
       132:{1,2,4,7}:{(101,1),(102,1),(108,1),(161,1),(167,1)}
       133:{2,3,6}:{(102,1),(103,1),(161,1)}
       134:{2,3,4}:{(103,1),(158,1)}
       135:{3,4,6}:{(105,1),(163,1),(164,1),(201,1)}
       136:{1,2,4,7}:{(104,1),(105,1),(112,1),(119,1),(163,1),(167,1),(171,1)}
       137:{1,2,4,5}:{(105,1),(107,1),(113,1),(120,1),(164,1),(168,1),(172,1),(198,1)}
       138:{1,2,5,7}:{(106,1),(107,1),(114,1),(121,1),(166,1),(193,1),(195,1)}
       139:{2,3,5,7}:{(108,1),(109,1),(110,1),(151,1),(161,1),(167,1),(193,1)}
       140:{2,4,6}:{(109,1),(111,1),(167,1),(168,1)}
       141:{3,4,7}:{(110,1),(111,1),(112,1),(167,1)}
       142:{3,4,5}:{(111,1),(113,1),(164,1),(168,1)}
       143:{1,4,5,7}:{(112,1),(113,1),(114,1),(169,1),(170,1)}
       144:{1,3,5,6}:{(114,1),(166,1),(170,1),(194,1),(201,1)}
       145:{1,3,5,7}:{(115,1),(116,1),(117,1),(154,1),(159,1),(171,1),(195,1)}
       146:{1,4,6}:{(116,1),(118,1),(171,1),(172,1)}
       147:{3,4,7}:{(117,1),(118,1),(119,1),(171,1)}
       148:{3,4,5}:{(118,1),(120,1),(164,1),(172,1)}
       149:{2,4,5,7}:{(119,1),(120,1),(121,1),(173,1),(174,1)}
       150:{2,3,5,6}:{(121,1),(166,1),(174,1),(196,1),(201,1)}
       151:{2,3,6,7}:{(122,1),(123,1),(139,1),(175,1),(208,1)}
       152:{3,4,6,7}:{(123,1),(124,1),(141,1),(175,1),(176,1),(190,1)}
       153:{1,4,5,7}:{(124,1),(176,1),(177,1)}
       154:{1,3,6,7}:{(125,1),(126,1),(145,1),(178,1),(207,1)}
       155:{3,4,6,7}:{(126,1),(127,1),(147,1),(178,1),(179,1),(192,1)}
       156:{2,4,5,7}:{(127,1),(179,1),(180,1)}
       157:{1,2,3,6}:{(128,1),(130,1),(133,1),(181,1),(182,1)}
       158:{1,2,4}:{(128,1),(131,1),(134,1)}
       159:{1,3,7}:{(129,1),(130,1)}
       160:{1,3,4,6}:{(130,1),(131,1),(135,1),(146,1),(182,1),(183,1),(184,1),(207,1)}
       161:{2,3,7}:{(132,1),(133,1)}
       162:{2,3,4,6}:{(133,1),(134,1),(135,1),(140,1),(182,1),(185,1),(186,1),(208,1)}
       163:{3,4,7}:{(135,1),(136,1),(187,1)}
       164:{3,5}:{(135,1),(137,1)}
       165:{1,2,4,5,7}:{(136,1),(137,1),(138,1),(143,1),(149,1),(187,1),(188,1),(189,1),(191,1),(206,1)}
       166:{1,2,5,6}:{(138,1),(144,1),(150,1),(188,1),(204,1),(205,1)}
       167:{2,4,7}:{(139,1),(140,1),(141,1)}
       168:{2,4,5}:{(140,1),(142,1),(186,1)}
       169:{3,4,5,7}:{(141,1),(142,1),(143,1),(176,1),(187,1),(189,1),(190,1)}
       170:{1,4,6}:{(143,1),(144,1),(190,1)}
       171:{1,4,7}:{(145,1),(146,1),(147,1)}
       172:{1,4,5}:{(146,1),(148,1),(184,1)}
       173:{3,4,5,7}:{(147,1),(148,1),(149,1),(179,1),(187,1),(191,1),(192,1)}
       174:{2,4,6}:{(149,1),(150,1),(192,1)}
       175:{2,4,6,7}:{(151,1),(152,1),(167,1),(193,1),(202,1)}
       176:{3,5,7}:{(152,1),(153,1),(193,1),(194,1)}
       177:{1,4,5,6}:{(153,1),(170,1),(194,1)}
       178:{1,4,6,7}:{(154,1),(155,1),(171,1),(195,1),(203,1)}
       179:{3,5,7}:{(155,1),(156,1),(195,1),(196,1)}
       180:{2,4,5,6}:{(156,1),(174,1),(196,1)}
       181:{1,2,3,7}:{(157,1),(159,1),(161,1),(197,1)}
       182:{1,2,4,6}:{(157,1),(158,1),(160,1),(162,1),(197,1),(198,1),(209,1)}
       183:{1,3,4,7}:{(159,1),(160,1),(163,1),(171,1),(197,1),(199,1)}
       184:{1,3,5}:{(160,1),(164,1),(172,1),(198,1)}
       185:{2,3,4,7}:{(161,1),(162,1),(163,1),(167,1),(197,1),(200,1)}
       186:{2,3,5}:{(162,1),(164,1),(168,1),(198,1)}
       187:{3,5,7}:{(163,1),(164,1),(165,1),(201,1)}
       188:{1,2,4,6}:{(165,1),(166,1),(170,1),(174,1),(201,1),(202,1),(203,1),(209,1)}
       189:{2,4,5,7}:{(167,1),(168,1),(169,1),(193,1),(200,1),(202,1)}
       190:{3,4,6}:{(169,1),(170,1),(194,1),(201,1),(202,1)}
       191:{1,4,5,7}:{(171,1),(172,1),(173,1),(195,1),(199,1),(203,1)}
       192:{3,4,6}:{(173,1),(174,1),(196,1),(201,1),(203,1)}
       193:{2,5,7}:{(175,1),(176,1),(204,1)}
       194:{3,5,6}:{(176,1),(177,1),(190,1),(204,1)}
       195:{1,5,7}:{(178,1),(179,1),(205,1)}
       196:{3,5,6}:{(179,1),(180,1),(192,1),(205,1)}
       197:{1,2,4,7}:{(181,1),(182,1),(183,1),(185,1),(206,1)}
       198:{1,2,5}:{(182,1),(184,1),(186,1)}
       199:{1,3,5,7}:{(183,1),(184,1),(187,1),(191,1),(206,1),(207,1)}
       200:{2,3,5,7}:{(185,1),(186,1),(187,1),(189,1),(206,1),(208,1)}
       201:{3,6}:{(187,1),(188,1)}
       202:{2,4,6}:{(189,1),(190,1),(204,1),(208,1)}
       203:{1,4,6}:{(191,1),(192,1),(205,1),(207,1)}
       204:{2,5,6}:{(193,1),(194,1),(202,1)}
       205:{1,5,6}:{(195,1),(196,1),(203,1)}
       206:{1,2,5,7}:{(197,1),(198,1),(199,1),(200,1),(209,1)}
       207:{1,3,6}:{(199,1),(201,1),(203,1),(209,1)}
       208:{2,3,6}:{(200,1),(201,1),(202,1),(209,1)}
       209:{1,2,6}:{(206,1),(207,1),(208,1)}

2068 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(18,1),(37,1),(38,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(24,1),(47,1)}
        2:{1,2,4,5,7}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,5,6}:{(1,1),(5,1),(12,1),(34,1),(37,1)}
        4:{3,4,5,7}:{(2,1),(10,1),(24,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(10,1)}
        6:{1,2,3,5,6,7}:{(3,1),(11,1),(24,1),(43,1),(44,1),(47,1),(48,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(29,1),(30,1),(34,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(16,1),(35,1),(51,1),(62,1)}
        9:{1,3,4,5,7}:{(4,1),(15,1),(17,1),(36,1),(51,1),(62,1)}
       10:{3,4,6}:{(4,1),(5,1),(12,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(13,1),(18,1),(49,1),(50,1)}
       12:{3,5,6}:{(7,1),(10,1),(24,1)}
       13:{1,2,4,5,7}:{(7,1),(11,1),(24,1),(41,1),(42,1),(47,1)}
       14:{1,2,3,4,7}:{(21,1),(25,1),(60,1)}
       15:{1,2,4,5,7}:{(8,1),(9,1),(25,1),(26,1),(45,1),(47,1),(60,1)}
       16:{2,3,4,6}:{(8,1),(10,1),(22,1),(26,1),(58,1)}
       17:{1,3,4,6}:{(9,1),(10,1),(23,1),(26,1),(58,1)}
       18:{3,4,6,7}:{(10,1),(11,1),(24,1)}
       19:{3,4,5,6}:{(12,1),(29,1),(30,1),(31,1),(52,1)}
       20:{1,2,4,5,6,7}:{(13,1),(32,1),(49,1),(50,1),(54,1)}
       21:{1,2,3,4,6}:{(14,1),(33,1),(37,1),(55,1)}
       22:{2,3,5,6}:{(12,1),(16,1),(29,1),(34,1),(35,1),(52,1)}
       23:{1,3,5,6}:{(12,1),(17,1),(30,1),(34,1),(36,1),(52,1)}
       24:{3,5,7}:{(12,1),(13,1),(18,1)}
       25:{1,2,3,5,7}:{(14,1),(15,1),(33,1),(37,1)}
       26:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(37,1)}
       27:{2,3,4,6,7}:{(16,1),(18,1),(35,1),(38,1),(49,1),(61,1),(62,1)}
       28:{1,3,4,6,7}:{(17,1),(18,1),(36,1),(38,1),(50,1),(61,1),(62,1)}
       29:{2,4,5,6}:{(19,1),(22,1),(41,1)}
       30:{1,4,5,6}:{(19,1),(23,1),(42,1)}
       31:{3,4,5,7}:{(19,1),(24,1),(39,1),(41,1),(42,1),(59,1)}
       32:{3,5,6,7}:{(20,1),(24,1),(39,1)}
       33:{1,2,3,5}:{(21,1),(45,1)}
       34:{1,2,5,6}:{(22,1),(23,1),(26,1),(47,1)}
       35:{2,3,5,7}:{(22,1),(24,1),(27,1),(41,1),(47,1),(59,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(28,1),(42,1),(47,1),(59,1)}
       37:{1,2,3,6}:{(25,1),(26,1)}
       38:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(47,1),(48,1),(60,1)}
       39:{3,4,6,7}:{(31,1),(32,1),(49,1),(50,1),(61,1)}
       40:{1,2,4,5,6}:{(29,1),(30,1),(34,1),(52,1),(53,1),(55,1)}
       41:{2,4,5,7}:{(29,1),(31,1),(35,1),(49,1)}
       42:{1,4,5,7}:{(30,1),(31,1),(36,1),(50,1)}
       43:{2,3,5,6,7}:{(32,1),(35,1),(49,1),(54,1),(61,1)}
       44:{1,3,5,6,7}:{(32,1),(36,1),(50,1),(54,1),(61,1)}
       45:{1,2,4,5}:{(33,1),(51,1),(55,1)}
       46:{1,2,3,5,6}:{(33,1),(34,1),(37,1),(52,1),(55,1),(56,1)}
       47:{1,2,5,7}:{(34,1),(35,1),(36,1),(38,1)}
       48:{1,2,3,6,7}:{(37,1),(38,1),(56,1),(61,1)}
       49:{2,4,6,7}:{(39,1),(41,1),(43,1)}
       50:{1,4,6,7}:{(39,1),(42,1),(44,1)}
       51:{3,4,5}:{(45,1),(58,1)}
       52:{3,5,6}:{(40,1),(58,1),(59,1)}
       53:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(47,1),(57,1),(59,1),(60,1)}
       54:{1,2,5,6,7}:{(43,1),(44,1),(47,1),(57,1)}
       55:{1,2,4,6}:{(45,1),(46,1),(58,1),(60,1)}
       56:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(59,1),(60,1)}
       57:{1,2,4,6,7}:{(49,1),(50,1),(53,1),(54,1),(61,1)}
       58:{3,4,6}:{(51,1),(52,1),(55,1),(62,1)}
       59:{3,5,7}:{(52,1),(53,1),(61,1),(62,1)}
       60:{1,2,4,7}:{(55,1),(56,1),(62,1)}
       61:{3,6,7}:{(57,1),(59,1)}
       62:{3,4,7}:{(58,1),(59,1),(60,1)}

2069 :  0:{1,2,3,4,7}:{(1,1),(2,1),(27,1),(79,1)}
        1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(70,1),(71,1)}
        3:{1,3,4,5,7}:{(4,1),(7,1),(20,1),(21,1),(40,1)}
        4:{1,2,4,5,7}:{(1,1),(3,1),(8,1),(9,1),(12,1),(25,1),(27,1)}
        5:{1,2,3,6}:{(1,1),(9,1)}
        6:{1,2,3,5}:{(2,1),(12,1)}
        7:{1,3,4,6}:{(3,1),(9,1),(14,1),(28,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(20,1),(35,1),(40,1)}
        9:{1,2,4,6}:{(4,1),(5,1),(7,1),(15,1),(17,1)}
       10:{1,2,3,6,7}:{(5,1),(16,1),(18,1),(65,1),(82,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(17,1),(18,1),(19,1),(39,1),(68,1),(70,1)}
       12:{1,2,4,5}:{(6,1),(19,1),(20,1)}
       13:{1,3,4,6,7}:{(7,1),(16,1),(21,1),(40,1),(44,1),(65,1)}
       14:{1,3,5,6}:{(7,1),(17,1),(21,1),(22,1),(39,1)}
       15:{2,3,4,6}:{(8,1),(9,1),(24,1),(28,1)}
       16:{1,2,4,6,7}:{(9,1),(10,1),(13,1),(23,1),(25,1),(27,1)}
       17:{1,2,5,6}:{(9,1),(14,1),(24,1),(25,1)}
       18:{1,2,3,5,7}:{(10,1),(11,1),(25,1),(27,1),(52,1),(78,1),(79,1)}
       19:{1,2,4,6}:{(11,1),(12,1),(27,1),(28,1)}
       20:{3,4,5}:{(12,1),(28,1)}
       21:{1,3,5,7}:{(13,1),(14,1),(25,1),(32,1),(52,1)}
       22:{1,4,5,6}:{(14,1),(32,1),(33,1)}
       23:{2,3,4,6,7}:{(15,1),(16,1),(35,1),(40,1),(62,1),(65,1)}
       24:{2,3,5,6}:{(15,1),(17,1),(35,1),(36,1),(39,1)}
       25:{1,2,5,7}:{(16,1),(17,1),(21,1),(35,1)}
       26:{1,2,4,5,6}:{(17,1),(19,1),(22,1),(36,1),(38,1),(39,1),(46,1),(64,1),(68,1)}
       27:{1,2,4,7}:{(18,1),(19,1),(40,1)}
       28:{3,4,6}:{(19,1),(20,1),(39,1),(40,1)}
       29:{1,3,4,5}:{(20,1),(41,1),(43,1)}
       30:{2,3,4,5}:{(20,1),(42,1),(43,1)}
       31:{1,3,5,6,7}:{(21,1),(37,1),(44,1),(47,1),(65,1)}
       32:{1,4,5,7}:{(21,1),(22,1),(44,1),(45,1)}
       33:{3,4,5,6}:{(22,1),(39,1),(45,1),(46,1)}
       34:{1,4,5,6,7}:{(44,1),(47,1)}
       35:{2,3,5,7}:{(23,1),(24,1),(25,1),(49,1),(52,1)}
       36:{2,4,5,6}:{(24,1),(49,1),(50,1)}
       37:{1,2,5,6,7}:{(25,1),(31,1),(48,1),(51,1),(61,1),(83,1)}
       38:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(32,1),(49,1),(51,1),(52,1),(60,1),(75,1),(78,1)}
       39:{3,5,6}:{(26,1),(28,1),(52,1)}
       40:{3,4,7}:{(27,1),(28,1),(52,1)}
       41:{1,3,4,6}:{(28,1),(29,1),(53,1),(55,1),(57,1)}
       42:{2,3,4,6}:{(28,1),(30,1),(54,1),(56,1),(57,1)}
       43:{1,2,4,5}:{(29,1),(30,1),(57,1),(58,1)}
       44:{1,4,6,7}:{(31,1),(32,1),(59,1)}
       45:{3,4,5,7}:{(32,1),(33,1),(52,1),(59,1),(60,1)}
       46:{2,4,5,6}:{(33,1),(54,1),(60,1)}
       47:{3,5,6,7}:{(34,1),(59,1),(61,1)}
       48:{2,3,5,6,7}:{(35,1),(37,1),(62,1),(65,1),(80,1)}
       49:{2,4,5,7}:{(35,1),(36,1),(62,1),(63,1)}
       50:{3,4,5,6}:{(36,1),(39,1),(63,1),(64,1)}
       51:{1,2,4,6,7}:{(37,1),(38,1),(44,1),(62,1),(65,1),(72,1),(81,1),(82,1)}
       52:{3,5,7}:{(38,1),(39,1),(40,1),(65,1)}
       53:{1,3,5,6}:{(39,1),(41,1),(64,1),(66,1),(68,1)}
       54:{2,3,5,6}:{(39,1),(42,1),(46,1),(67,1),(68,1)}
       55:{1,3,4,7}:{(40,1),(41,1),(66,1),(69,1)}
       56:{2,3,4,7}:{(40,1),(42,1),(67,1),(69,1)}
       57:{1,2,4,6}:{(41,1),(42,1),(43,1),(68,1),(69,1),(70,1)}
       58:{1,2,3,5}:{(43,1),(70,1),(71,1)}
       59:{3,4,6,7}:{(44,1),(45,1),(47,1),(65,1),(72,1)}
       60:{2,4,5,7}:{(45,1),(46,1),(67,1),(72,1)}
       61:{2,5,6,7}:{(47,1),(72,1)}
       62:{2,4,6,7}:{(48,1),(49,1),(74,1)}
       63:{3,4,5,7}:{(49,1),(50,1),(52,1),(74,1),(75,1)}
       64:{1,4,5,6}:{(50,1),(53,1),(75,1)}
       65:{3,6,7}:{(51,1),(52,1)}
       66:{1,3,5,7}:{(52,1),(53,1),(55,1),(75,1),(76,1),(78,1)}
       67:{2,3,5,7}:{(52,1),(54,1),(56,1),(60,1),(77,1),(78,1)}
       68:{1,2,5,6}:{(53,1),(54,1),(57,1),(78,1)}
       69:{1,2,4,7}:{(55,1),(56,1),(57,1),(78,1),(79,1)}
       70:{1,2,3,6}:{(57,1),(58,1),(79,1)}
       71:{1,2,3,4}:{(58,1)}
       72:{2,4,6,7}:{(59,1),(60,1),(61,1),(77,1)}
       73:{2,4,5,6,7}:{(62,1),(80,1)}
       74:{3,4,6,7}:{(62,1),(63,1),(65,1),(80,1),(81,1)}
       75:{1,4,5,7}:{(63,1),(64,1),(66,1),(81,1)}
       76:{1,3,6,7}:{(65,1),(66,1),(81,1),(82,1)}
       77:{2,3,6,7}:{(65,1),(67,1),(72,1),(82,1)}
       78:{1,2,5,7}:{(66,1),(67,1),(68,1),(69,1),(82,1)}
       79:{1,2,3,7}:{(69,1),(70,1)}
       80:{3,5,6,7}:{(73,1),(74,1),(83,1)}
       81:{1,4,6,7}:{(74,1),(75,1),(76,1),(83,1)}
       82:{1,2,6,7}:{(76,1),(77,1),(78,1)}
       83:{1,5,6,7}:{(80,1),(81,1)}

2070 :  0:{1,2,3,4,7}:{(1,1),(2,1),(27,1),(79,1)}
        1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(70,1),(71,1)}
        3:{2,3,4,5,7}:{(4,1),(7,1),(20,1),(21,1),(40,1)}
        4:{1,2,4,5,7}:{(1,1),(3,1),(8,1),(9,1),(12,1),(25,1),(27,1)}
        5:{1,2,3,6}:{(1,1),(9,1)}
        6:{1,2,3,5}:{(2,1),(12,1)}
        7:{2,3,4,6}:{(3,1),(9,1),(14,1),(28,1)}
        8:{1,3,4,5,7}:{(4,1),(15,1),(20,1),(35,1),(40,1)}
        9:{1,2,4,6}:{(4,1),(5,1),(7,1),(15,1),(17,1)}
       10:{1,2,3,6,7}:{(5,1),(16,1),(18,1),(65,1),(82,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(17,1),(18,1),(19,1),(39,1),(68,1),(70,1)}
       12:{1,2,4,5}:{(6,1),(19,1),(20,1)}
       13:{2,3,4,6,7}:{(7,1),(16,1),(21,1),(40,1),(44,1),(65,1)}
       14:{2,3,5,6}:{(7,1),(17,1),(21,1),(22,1),(39,1)}
       15:{1,3,4,6}:{(8,1),(9,1),(24,1),(28,1)}
       16:{1,2,4,6,7}:{(9,1),(10,1),(13,1),(23,1),(25,1),(27,1)}
       17:{1,2,5,6}:{(9,1),(14,1),(24,1),(25,1)}
       18:{1,2,3,5,7}:{(10,1),(11,1),(25,1),(27,1),(52,1),(78,1),(79,1)}
       19:{1,2,4,6}:{(11,1),(12,1),(27,1),(28,1)}
       20:{3,4,5}:{(12,1),(28,1)}
       21:{2,3,5,7}:{(13,1),(14,1),(25,1),(32,1),(52,1)}
       22:{2,4,5,6}:{(14,1),(32,1),(33,1)}
       23:{1,3,4,6,7}:{(15,1),(16,1),(35,1),(40,1),(62,1),(65,1)}
       24:{1,3,5,6}:{(15,1),(17,1),(35,1),(36,1),(39,1)}
       25:{1,2,5,7}:{(16,1),(17,1),(21,1),(35,1)}
       26:{1,2,4,5,6}:{(17,1),(19,1),(22,1),(36,1),(38,1),(39,1),(46,1),(64,1),(68,1)}
       27:{1,2,4,7}:{(18,1),(19,1),(40,1)}
       28:{3,4,6}:{(19,1),(20,1),(39,1),(40,1)}
       29:{1,3,4,5}:{(20,1),(41,1),(43,1)}
       30:{2,3,4,5}:{(20,1),(42,1),(43,1)}
       31:{2,3,5,6,7}:{(21,1),(37,1),(44,1),(47,1),(65,1)}
       32:{2,4,5,7}:{(21,1),(22,1),(44,1),(45,1)}
       33:{3,4,5,6}:{(22,1),(39,1),(45,1),(46,1)}
       34:{2,4,5,6,7}:{(44,1),(47,1)}
       35:{1,3,5,7}:{(23,1),(24,1),(25,1),(49,1),(52,1)}
       36:{1,4,5,6}:{(24,1),(49,1),(50,1)}
       37:{1,2,5,6,7}:{(25,1),(31,1),(48,1),(51,1),(61,1),(83,1)}
       38:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(32,1),(49,1),(51,1),(52,1),(60,1),(75,1),(78,1)}
       39:{3,5,6}:{(26,1),(28,1),(52,1)}
       40:{3,4,7}:{(27,1),(28,1),(52,1)}
       41:{1,3,4,6}:{(28,1),(29,1),(53,1),(55,1),(57,1)}
       42:{2,3,4,6}:{(28,1),(30,1),(54,1),(56,1),(57,1)}
       43:{1,2,4,5}:{(29,1),(30,1),(57,1),(58,1)}
       44:{2,4,6,7}:{(31,1),(32,1),(59,1)}
       45:{3,4,5,7}:{(32,1),(33,1),(52,1),(59,1),(60,1)}
       46:{1,4,5,6}:{(33,1),(53,1),(60,1)}
       47:{3,5,6,7}:{(34,1),(59,1),(61,1)}
       48:{1,3,5,6,7}:{(35,1),(37,1),(62,1),(65,1),(80,1)}
       49:{1,4,5,7}:{(35,1),(36,1),(62,1),(63,1)}
       50:{3,4,5,6}:{(36,1),(39,1),(63,1),(64,1)}
       51:{1,2,4,6,7}:{(37,1),(38,1),(44,1),(62,1),(65,1),(72,1),(81,1),(82,1)}
       52:{3,5,7}:{(38,1),(39,1),(40,1),(65,1)}
       53:{1,3,5,6}:{(39,1),(41,1),(46,1),(66,1),(68,1)}
       54:{2,3,5,6}:{(39,1),(42,1),(64,1),(67,1),(68,1)}
       55:{1,3,4,7}:{(40,1),(41,1),(66,1),(69,1)}
       56:{2,3,4,7}:{(40,1),(42,1),(67,1),(69,1)}
       57:{1,2,4,6}:{(41,1),(42,1),(43,1),(68,1),(69,1),(70,1)}
       58:{1,2,3,5}:{(43,1),(70,1),(71,1)}
       59:{3,4,6,7}:{(44,1),(45,1),(47,1),(65,1),(72,1)}
       60:{1,4,5,7}:{(45,1),(46,1),(66,1),(72,1)}
       61:{1,5,6,7}:{(47,1),(72,1)}
       62:{1,4,6,7}:{(48,1),(49,1),(74,1)}
       63:{3,4,5,7}:{(49,1),(50,1),(52,1),(74,1),(75,1)}
       64:{2,4,5,6}:{(50,1),(54,1),(75,1)}
       65:{3,6,7}:{(51,1),(52,1)}
       66:{1,3,5,7}:{(52,1),(53,1),(55,1),(60,1),(76,1),(78,1)}
       67:{2,3,5,7}:{(52,1),(54,1),(56,1),(75,1),(77,1),(78,1)}
       68:{1,2,5,6}:{(53,1),(54,1),(57,1),(78,1)}
       69:{1,2,4,7}:{(55,1),(56,1),(57,1),(78,1),(79,1)}
       70:{1,2,3,6}:{(57,1),(58,1),(79,1)}
       71:{1,2,3,4}:{(58,1)}
       72:{1,4,6,7}:{(59,1),(60,1),(61,1),(76,1)}
       73:{1,4,5,6,7}:{(62,1),(80,1)}
       74:{3,4,6,7}:{(62,1),(63,1),(65,1),(80,1),(81,1)}
       75:{2,4,5,7}:{(63,1),(64,1),(67,1),(81,1)}
       76:{1,3,6,7}:{(65,1),(66,1),(72,1),(82,1)}
       77:{2,3,6,7}:{(65,1),(67,1),(81,1),(82,1)}
       78:{1,2,5,7}:{(66,1),(67,1),(68,1),(69,1),(82,1)}
       79:{1,2,3,7}:{(69,1),(70,1)}
       80:{3,5,6,7}:{(73,1),(74,1),(83,1)}
       81:{2,4,6,7}:{(74,1),(75,1),(77,1),(83,1)}
       82:{1,2,6,7}:{(76,1),(77,1),(78,1)}
       83:{2,5,6,7}:{(80,1),(81,1)}

2071 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(34,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(43,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(33,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(8,1),(20,1),(41,1),(42,1),(43,1),(45,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(20,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(28,1),(29,1),(33,1)}
        8:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(14,1),(47,1),(48,1)}
        9:{3,4,6}:{(5,1),(6,1),(13,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(31,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(32,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(38,1),(39,1),(43,1)}
       13:{3,5,6}:{(7,1),(9,1),(20,1)}
       14:{3,4,6,7}:{(8,1),(9,1),(20,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(21,1),(25,1),(57,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(22,1),(25,1),(57,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(43,1),(58,1),(59,1)}
       18:{3,4,5,6}:{(13,1),(27,1),(28,1),(29,1),(50,1)}
       19:{1,2,4,5,6,7}:{(12,1),(30,1),(47,1),(48,1),(51,1)}
       20:{3,5,7}:{(12,1),(13,1),(14,1)}
       21:{1,3,5,6}:{(13,1),(15,1),(28,1),(31,1),(33,1),(50,1)}
       22:{2,3,5,6}:{(13,1),(16,1),(29,1),(32,1),(33,1),(50,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(31,1),(34,1),(47,1),(60,1),(61,1)}
       24:{2,3,4,6,7}:{(14,1),(16,1),(32,1),(34,1),(48,1),(60,1),(61,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(33,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,4,5,7}:{(18,1),(20,1),(37,1),(38,1),(39,1),(56,1)}
       28:{1,4,5,6}:{(18,1),(21,1),(38,1)}
       29:{2,4,5,6}:{(18,1),(22,1),(39,1)}
       30:{3,5,6,7}:{(19,1),(20,1),(37,1)}
       31:{1,3,5,7}:{(20,1),(21,1),(23,1),(38,1),(43,1),(56,1)}
       32:{2,3,5,7}:{(20,1),(22,1),(24,1),(39,1),(43,1),(56,1)}
       33:{1,2,5,6}:{(21,1),(22,1),(25,1),(43,1)}
       34:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(43,1),(45,1),(58,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(58,1)}
       37:{3,4,6,7}:{(27,1),(30,1),(47,1),(48,1),(60,1)}
       38:{1,4,5,7}:{(27,1),(28,1),(31,1),(47,1)}
       39:{2,4,5,7}:{(27,1),(29,1),(32,1),(48,1)}
       40:{1,2,4,5,6}:{(28,1),(29,1),(33,1),(49,1),(50,1),(53,1)}
       41:{1,3,5,6,7}:{(30,1),(31,1),(47,1),(51,1),(60,1)}
       42:{2,3,5,6,7}:{(30,1),(32,1),(48,1),(51,1),(60,1)}
       43:{1,2,5,7}:{(31,1),(32,1),(33,1),(34,1)}
       44:{1,2,3,5,6}:{(33,1),(35,1),(50,1),(52,1),(53,1),(54,1)}
       45:{1,2,3,6,7}:{(34,1),(35,1),(52,1),(60,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(41,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(42,1)}
       49:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(55,1),(56,1),(58,1)}
       50:{3,5,6}:{(40,1),(56,1),(57,1)}
       51:{1,2,5,6,7}:{(41,1),(42,1),(43,1),(55,1)}
       52:{1,2,3,5,7}:{(43,1),(44,1),(45,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(44,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(51,1),(60,1)}
       56:{3,5,7}:{(49,1),(50,1),(60,1),(61,1)}
       57:{3,4,6}:{(50,1),(53,1),(61,1),(62,1)}
       58:{1,2,4,7}:{(52,1),(53,1),(61,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(57,1),(59,1)}

2072 :   0:{1,2,3,4,6}:{(1,1),(2,1),(3,1),(4,1),(14,1),(17,1),(21,1),(22,1)}
         1:{1,2,3,4}:{(5,1)}
         2:{1,2,3,4}:{(7,1)}
         3:{1,2,3,4,7}:{(0,1),(9,1),(29,1),(34,1),(42,1)}
         4:{1,2,3,5}:{(0,1),(10,1)}
         5:{1,2,3,5}:{(1,1),(13,1),(14,1)}
         6:{1,3,4,5}:{(13,1),(15,1),(19,1)}
         7:{1,2,3,5}:{(2,1),(16,1),(17,1)}
         8:{2,3,4,5}:{(16,1),(18,1),(19,1)}
         9:{1,2,3,5,7}:{(3,1),(4,1),(20,1),(21,1)}
        10:{1,2,4,5}:{(4,1),(19,1),(22,1)}
        11:{1,2,3,5,6}:{(4,1),(14,1),(17,1),(21,1),(22,1),(23,1),(47,1),(51,1),(55,1),(57,1)}
        12:{3,4,5,6}:{(24,1),(25,1),(26,1),(55,1),(87,1)}
        13:{1,2,4,5}:{(5,1),(6,1),(27,1),(28,1)}
        14:{1,2,3,6}:{(5,1),(28,1),(29,1)}
        15:{1,3,4,6}:{(6,1),(28,1),(30,1),(31,1),(38,1)}
        16:{1,2,4,5}:{(7,1),(8,1),(32,1),(33,1)}
        17:{1,2,3,6}:{(7,1),(33,1),(34,1)}
        18:{2,3,4,6}:{(8,1),(33,1),(35,1),(36,1),(38,1)}
        19:{3,4,5}:{(10,1),(38,1)}
        20:{1,2,4,5,7}:{(9,1),(10,1),(37,1),(39,1),(42,1),(75,1)}
        21:{1,2,3,6}:{(9,1),(39,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(38,1),(42,1)}
        23:{1,2,3,5,7}:{(11,1),(29,1),(34,1),(40,1),(42,1),(65,1),(69,1),(74,1),(75,1)}
        24:{1,4,5,6}:{(12,1),(30,1),(43,1)}
        25:{2,4,5,6}:{(12,1),(35,1),(44,1)}
        26:{3,4,5,7}:{(12,1),(43,1),(44,1),(45,1),(74,1),(96,1)}
        27:{2,3,4,5}:{(13,1),(19,1),(46,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(15,1),(46,1),(47,1),(48,1)}
        29:{1,2,3,7}:{(14,1),(48,1)}
        30:{1,3,5,6}:{(15,1),(24,1),(47,1),(49,1),(55,1)}
        31:{1,3,4,7}:{(15,1),(48,1),(49,1),(56,1)}
        32:{1,3,4,5}:{(16,1),(19,1),(50,1)}
        33:{1,2,4,6}:{(16,1),(17,1),(18,1),(50,1),(51,1),(52,1)}
        34:{1,2,3,7}:{(17,1),(52,1)}
        35:{2,3,5,6}:{(18,1),(25,1),(51,1),(53,1),(55,1)}
        36:{2,3,4,7}:{(18,1),(52,1),(53,1),(56,1)}
        37:{3,4,5,7}:{(19,1),(20,1),(54,1),(56,1),(88,1)}
        38:{3,4,6}:{(19,1),(22,1),(55,1),(56,1)}
        39:{1,2,4,6}:{(20,1),(21,1),(54,1),(57,1)}
        40:{1,2,3,6,7}:{(21,1),(23,1),(58,1),(82,1),(85,1),(89,1)}
        41:{1,2,4,5,6}:{(22,1),(24,1),(25,1),(47,1),(51,1),(55,1),(57,1),(59,1),(80,1),(83,1),(87,1)}
        42:{1,2,4,7}:{(22,1),(23,1),(56,1)}
        43:{1,4,5,7}:{(24,1),(26,1),(49,1),(60,1)}
        44:{2,4,5,7}:{(25,1),(26,1),(53,1),(61,1)}
        45:{3,4,6,7}:{(26,1),(60,1),(61,1),(62,1),(89,1),(101,1)}
        46:{2,3,4,6}:{(27,1),(28,1),(38,1),(63,1),(64,1)}
        47:{1,2,5,6}:{(28,1),(30,1),(63,1),(65,1)}
        48:{1,2,4,7}:{(28,1),(29,1),(31,1),(64,1),(65,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(43,1),(65,1),(66,1),(74,1)}
        50:{1,3,4,6}:{(32,1),(33,1),(38,1),(67,1),(68,1)}
        51:{1,2,5,6}:{(33,1),(35,1),(67,1),(69,1)}
        52:{1,2,4,7}:{(33,1),(34,1),(36,1),(68,1),(69,1)}
        53:{2,3,5,7}:{(35,1),(36,1),(44,1),(69,1),(70,1),(74,1)}
        54:{3,4,6}:{(37,1),(39,1),(72,1)}
        55:{3,5,6}:{(38,1),(41,1),(74,1)}
        56:{3,4,7}:{(38,1),(42,1),(74,1)}
        57:{1,2,5,6}:{(39,1),(72,1),(75,1)}
        58:{1,2,4,6,7}:{(39,1),(40,1),(42,1),(73,1),(75,1)}
        59:{1,2,4,5,7}:{(41,1),(42,1),(43,1),(44,1),(65,1),(69,1),(74,1),(75,1),(76,1),(91,1),(93,1),(96,1)}
        60:{1,4,6,7}:{(43,1),(45,1),(66,1),(77,1)}
        61:{2,4,6,7}:{(44,1),(45,1),(70,1),(78,1)}
        62:{3,5,6,7}:{(45,1),(77,1),(78,1),(79,1)}
        63:{2,3,5,6}:{(46,1),(47,1),(55,1),(80,1),(81,1)}
        64:{2,3,4,7}:{(46,1),(48,1),(56,1),(81,1)}
        65:{1,2,5,7}:{(47,1),(48,1),(49,1),(81,1),(82,1)}
        66:{1,3,6,7}:{(49,1),(60,1),(82,1),(89,1)}
        67:{1,3,5,6}:{(50,1),(51,1),(55,1),(83,1),(84,1)}
        68:{1,3,4,7}:{(50,1),(52,1),(56,1),(84,1)}
        69:{1,2,5,7}:{(51,1),(52,1),(53,1),(84,1),(85,1)}
        70:{2,3,6,7}:{(53,1),(61,1),(85,1),(89,1)}
        71:{3,4,5,6}:{(55,1),(80,1),(83,1),(86,1),(87,1)}
        72:{3,5,6}:{(54,1),(57,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(54,1),(56,1),(58,1),(88,1),(89,1),(101,1)}
        74:{3,5,7}:{(55,1),(56,1),(59,1),(89,1)}
        75:{1,2,5,7}:{(57,1),(58,1),(88,1)}
        76:{1,2,4,6,7}:{(59,1),(60,1),(61,1),(82,1),(85,1),(89,1),(90,1),(98,1),(99,1),(101,1)}
        77:{1,5,6,7}:{(60,1),(62,1)}
        78:{2,5,6,7}:{(61,1),(62,1)}
        79:{4,5,6,7}:{(62,1),(101,1)}
        80:{2,4,5,6}:{(63,1),(71,1),(91,1)}
        81:{2,3,5,7}:{(63,1),(64,1),(65,1),(74,1),(91,1),(92,1)}
        82:{1,2,6,7}:{(65,1),(66,1),(92,1)}
        83:{1,4,5,6}:{(67,1),(71,1),(93,1)}
        84:{1,3,5,7}:{(67,1),(68,1),(69,1),(74,1),(93,1),(94,1)}
        85:{1,2,6,7}:{(69,1),(70,1),(94,1)}
        86:{3,4,5,7}:{(71,1),(74,1),(91,1),(93,1),(95,1),(96,1)}
        87:{4,5,6}:{(72,1),(96,1)}
        88:{3,5,7}:{(72,1),(73,1),(75,1),(96,1)}
        89:{3,6,7}:{(74,1),(76,1)}
        90:{1,2,5,6,7}:{(75,1),(76,1),(77,1),(78,1),(97,1),(102,1),(103,1)}
        91:{2,4,5,7}:{(80,1),(81,1),(86,1),(98,1)}
        92:{2,3,6,7}:{(81,1),(82,1),(89,1),(98,1)}
        93:{1,4,5,7}:{(83,1),(84,1),(86,1),(99,1)}
        94:{1,3,6,7}:{(84,1),(85,1),(89,1),(99,1)}
        95:{3,4,6,7}:{(86,1),(89,1),(98,1),(99,1),(100,1),(101,1)}
        96:{4,5,7}:{(87,1),(88,1),(101,1)}
        97:{3,5,6,7}:{(88,1),(89,1),(90,1),(101,1)}
        98:{2,4,6,7}:{(91,1),(92,1),(95,1),(102,1)}
        99:{1,4,6,7}:{(93,1),(94,1),(95,1),(103,1)}
       100:{3,5,6,7}:{(95,1),(102,1),(103,1),(104,1)}
       101:{4,6,7}:{(96,1),(97,1)}
       102:{2,5,6,7}:{(98,1),(100,1)}
       103:{1,5,6,7}:{(99,1),(100,1)}
       104:{4,5,6,7}:{(100,1),(101,1)}

2073 :   0:{1,2,4,5,6,7}:{(1,1),(8,1),(9,1),(10,1),(21,1),(31,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(39,1),(50,1)}
         2:{1,2,3,5,6,7}:{(6,1),(10,1),(22,1),(32,1),(58,1),(62,1),(63,1),(64,1),(65,1),(67,1),(69,1),(111,1),(114,1),(143,1),(149,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(32,1),(59,1),(71,1)}
         4:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(25,1),(32,1),(62,1),(69,1)}
         5:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(27,1),(32,1),(63,1),(67,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(84,1),(85,1),(90,1),(92,1),(139,1),(159,1),(163,1)}
         7:{3,4,5,7}:{(3,1),(16,1),(17,1),(18,1),(50,1)}
         8:{1,4,6,7}:{(3,1),(4,1),(17,1),(84,1),(92,1)}
         9:{2,4,6,7}:{(3,1),(5,1),(18,1),(85,1),(90,1)}
        10:{1,2,5,6,7}:{(4,1),(5,1),(19,1),(44,1),(47,1),(87,1)}
        11:{1,2,4,5,6,7}:{(20,1),(21,1),(56,1),(57,1),(58,1),(110,1)}
        12:{1,2,4,5,7}:{(6,1),(21,1),(22,1),(60,1),(61,1),(64,1),(157,1)}
        13:{3,4,6,7}:{(6,1),(22,1),(32,1),(59,1),(71,1),(111,1),(155,1),(156,1)}
        14:{1,3,4,6,7}:{(8,1),(25,1),(26,1),(32,1),(51,1),(71,1)}
        15:{2,3,4,6,7}:{(9,1),(27,1),(28,1),(32,1),(53,1),(71,1)}
        16:{3,4,5,6}:{(7,1),(29,1),(30,1),(59,1),(70,1),(172,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(25,1),(29,1)}
        18:{2,4,5,7}:{(7,1),(9,1),(27,1),(30,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(31,1),(32,1),(112,1)}
        20:{3,5,6,7}:{(11,1),(35,1),(39,1),(136,1)}
        21:{1,2,4,5,6}:{(12,1),(39,1),(84,1),(85,1),(87,1)}
        22:{3,5,7}:{(12,1),(13,1),(39,1),(167,1)}
        23:{1,3,4,6,7}:{(13,1),(40,1),(42,1),(48,1),(84,1),(92,1),(121,1),(134,1),(137,1),(138,1),(159,1),(160,1)}
        24:{2,3,4,6,7}:{(13,1),(41,1),(42,1),(45,1),(85,1),(90,1),(126,1),(129,1),(137,1),(138,1),(163,1),(164,1)}
        25:{1,3,5,7}:{(14,1),(17,1),(43,1),(44,1),(50,1)}
        26:{1,2,4,6,7}:{(14,1),(44,1),(45,1),(74,1),(90,1)}
        27:{2,3,5,7}:{(15,1),(18,1),(46,1),(47,1),(50,1)}
        28:{1,2,4,6,7}:{(15,1),(47,1),(48,1),(78,1),(92,1)}
        29:{1,4,5,6}:{(16,1),(17,1),(43,1),(84,1),(173,1)}
        30:{2,4,5,6}:{(16,1),(18,1),(46,1),(85,1),(174,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(19,1),(44,1),(47,1),(49,1),(50,1),(90,1),(92,1)}
        32:{3,6,7}:{(19,1),(50,1),(137,1)}
        33:{1,3,4,5,7}:{(25,1),(51,1),(52,1),(60,1),(71,1),(113,1),(118,1),(145,1),(169,1)}
        34:{2,3,4,5,7}:{(27,1),(53,1),(54,1),(61,1),(71,1),(113,1),(118,1),(151,1),(171,1)}
        35:{3,4,6,7}:{(20,1),(55,1),(56,1),(57,1),(59,1),(111,1),(155,1)}
        36:{1,3,5,6,7}:{(20,1),(56,1),(58,1),(62,1),(101,1),(111,1),(143,1)}
        37:{2,3,5,6,7}:{(20,1),(57,1),(58,1),(63,1),(94,1),(111,1),(149,1)}
        38:{3,4,5,7}:{(22,1),(59,1),(60,1),(61,1),(71,1),(113,1),(118,1),(155,1),(172,1)}
        39:{3,5,6}:{(21,1),(22,1),(59,1)}
        40:{1,3,5,7}:{(22,1),(23,1),(60,1),(62,1),(64,1),(113,1),(153,1),(169,1)}
        41:{2,3,5,7}:{(22,1),(24,1),(61,1),(63,1),(64,1),(113,1),(147,1),(171,1)}
        42:{1,2,4,6,7}:{(23,1),(24,1),(64,1),(65,1),(112,1),(115,1),(146,1),(152,1)}
        43:{1,3,5,6}:{(25,1),(29,1),(51,1),(66,1),(70,1),(169,1)}
        44:{1,2,5,7}:{(25,1),(26,1),(66,1),(67,1)}
        45:{2,3,6,7}:{(26,1),(32,1),(67,1),(99,1)}
        46:{2,3,5,6}:{(27,1),(30,1),(53,1),(68,1),(70,1),(171,1)}
        47:{1,2,5,7}:{(27,1),(28,1),(68,1),(69,1)}
        48:{1,3,6,7}:{(28,1),(32,1),(69,1),(106,1)}
        49:{1,2,4,5,6}:{(29,1),(30,1),(31,1),(66,1),(68,1),(70,1),(112,1),(116,1),(117,1),(157,1)}
        50:{3,5,7}:{(31,1),(32,1),(70,1),(71,1)}
        51:{1,3,4,6}:{(33,1),(43,1),(74,1),(84,1),(93,1),(137,1)}
        52:{1,2,4,5,7}:{(33,1),(44,1),(74,1),(75,1),(90,1),(125,1),(140,1),(161,1)}
        53:{2,3,4,6}:{(34,1),(46,1),(78,1),(85,1),(93,1),(137,1)}
        54:{1,2,4,5,7}:{(34,1),(47,1),(78,1),(79,1),(92,1),(133,1),(141,1),(165,1)}
        55:{3,4,5,7}:{(35,1),(80,1),(81,1),(82,1),(136,1)}
        56:{1,4,6,7}:{(35,1),(36,1),(81,1),(84,1),(159,1)}
        57:{2,4,6,7}:{(35,1),(37,1),(82,1),(85,1),(163,1)}
        58:{1,2,5,6,7}:{(36,1),(37,1),(83,1),(87,1),(120,1),(128,1)}
        59:{3,4,6}:{(38,1),(39,1),(84,1),(85,1),(137,1)}
        60:{1,4,5,7}:{(38,1),(40,1),(84,1),(92,1),(141,1),(159,1),(173,1)}
        61:{2,4,5,7}:{(38,1),(41,1),(85,1),(90,1),(140,1),(163,1),(174,1)}
        62:{1,3,5,6}:{(39,1),(40,1),(84,1),(87,1),(137,1)}
        63:{2,3,5,6}:{(39,1),(41,1),(85,1),(87,1),(137,1)}
        64:{1,2,5,7}:{(40,1),(41,1),(42,1),(87,1),(161,1),(165,1)}
        65:{1,2,3,6,7}:{(42,1),(45,1),(48,1),(88,1),(121,1),(124,1),(129,1),(132,1),(137,1)}
        66:{1,2,5,6}:{(43,1),(44,1),(74,1),(89,1),(161,1)}
        67:{2,3,5,7}:{(44,1),(45,1),(50,1),(89,1),(90,1)}
        68:{1,2,5,6}:{(46,1),(47,1),(78,1),(91,1),(165,1)}
        69:{1,3,5,7}:{(47,1),(48,1),(50,1),(91,1),(92,1)}
        70:{3,5,6}:{(49,1),(50,1),(93,1),(137,1),(167,1)}
        71:{3,4,7}:{(50,1),(90,1),(92,1),(93,1)}
        72:{2,3,4,6,7}:{(57,1),(94,1),(95,1),(96,1),(111,1),(155,1)}
        73:{2,3,4,5,7}:{(61,1),(94,1),(96,1),(97,1),(100,1),(113,1),(147,1),(155,1),(172,1)}
        74:{1,2,4,6}:{(51,1),(52,1),(66,1),(99,1),(116,1)}
        75:{2,3,5,7}:{(52,1),(99,1),(100,1),(113,1),(147,1)}
        76:{1,3,4,6,7}:{(56,1),(101,1),(102,1),(103,1),(111,1),(155,1)}
        77:{1,3,4,5,7}:{(60,1),(101,1),(103,1),(104,1),(107,1),(113,1),(153,1),(155,1),(172,1)}
        78:{1,2,4,6}:{(53,1),(54,1),(68,1),(106,1),(117,1)}
        79:{1,3,5,7}:{(54,1),(106,1),(107,1),(113,1),(153,1)}
        80:{3,4,5,6}:{(55,1),(59,1),(108,1),(109,1),(118,1),(154,1)}
        81:{1,4,5,7}:{(55,1),(56,1),(101,1),(108,1)}
        82:{2,4,5,7}:{(55,1),(57,1),(94,1),(109,1)}
        83:{1,2,4,6,7}:{(56,1),(57,1),(58,1),(110,1),(111,1),(112,1)}
        84:{1,4,6}:{(59,1),(60,1),(62,1)}
        85:{2,4,6}:{(59,1),(61,1),(63,1)}
        86:{1,2,4,5,7}:{(60,1),(61,1),(64,1),(112,1),(113,1),(115,1),(157,1)}
        87:{1,2,5,6}:{(62,1),(63,1),(64,1),(112,1)}
        88:{1,2,3,5,7}:{(64,1),(65,1),(67,1),(69,1),(113,1),(114,1),(115,1),(143,1),(149,1)}
        89:{2,3,5,6}:{(66,1),(67,1),(70,1),(99,1),(116,1),(147,1)}
        90:{2,4,7}:{(67,1),(71,1),(116,1)}
        91:{1,3,5,6}:{(68,1),(69,1),(70,1),(106,1),(117,1),(153,1)}
        92:{1,4,7}:{(69,1),(71,1),(117,1)}
        93:{3,4,6}:{(70,1),(71,1),(116,1),(117,1),(118,1)}
        94:{2,3,5,7}:{(72,1),(82,1),(119,1),(120,1),(136,1)}
        95:{1,2,4,6,7}:{(72,1),(120,1),(121,1),(122,1),(159,1)}
        96:{2,3,4,6}:{(73,1),(85,1),(119,1),(122,1),(137,1),(166,1)}
        97:{1,2,4,5,7}:{(73,1),(120,1),(122,1),(123,1),(125,1),(159,1),(161,1),(173,1)}
        98:{1,2,3,5,7}:{(75,1),(123,1),(124,1),(125,1),(161,1)}
        99:{2,3,6}:{(74,1),(75,1),(137,1)}
       100:{2,3,4,7}:{(75,1),(90,1),(125,1),(126,1),(138,1)}
       101:{1,3,5,7}:{(76,1),(81,1),(127,1),(128,1),(136,1)}
       102:{1,2,4,6,7}:{(76,1),(128,1),(129,1),(130,1),(163,1)}
       103:{1,3,4,6}:{(77,1),(84,1),(127,1),(130,1),(137,1),(166,1)}
       104:{1,2,4,5,7}:{(77,1),(128,1),(130,1),(131,1),(133,1),(163,1),(165,1),(174,1)}
       105:{1,2,3,5,7}:{(79,1),(131,1),(132,1),(133,1),(165,1)}
       106:{1,3,6}:{(78,1),(79,1),(137,1)}
       107:{1,3,4,7}:{(79,1),(92,1),(133,1),(134,1),(138,1)}
       108:{1,4,5,6}:{(80,1),(81,1),(84,1),(127,1),(141,1)}
       109:{2,4,5,6}:{(80,1),(82,1),(85,1),(119,1),(140,1)}
       110:{1,2,4,5,7}:{(81,1),(82,1),(83,1),(120,1),(128,1),(135,1),(136,1),(159,1),(163,1)}
       111:{3,6,7}:{(83,1),(136,1),(137,1)}
       112:{1,2,4,6}:{(84,1),(85,1),(86,1),(87,1),(137,1)}
       113:{3,5,7}:{(86,1),(137,1),(138,1),(167,1)}
       114:{1,2,3,5,6}:{(87,1),(88,1),(89,1),(91,1),(124,1),(132,1),(137,1),(139,1),(158,1),(161,1),(162,1),(165,1),(167,1)}
       115:{1,2,4,7}:{(88,1),(90,1),(92,1),(138,1),(139,1),(159,1),(163,1)}
       116:{2,4,6}:{(89,1),(90,1),(93,1),(140,1)}
       117:{1,4,6}:{(91,1),(92,1),(93,1),(141,1)}
       118:{3,4,5}:{(93,1),(140,1),(141,1),(167,1)}
       119:{2,3,5,6}:{(94,1),(96,1),(109,1),(142,1),(147,1),(154,1)}
       120:{1,2,5,7}:{(94,1),(95,1),(142,1),(143,1)}
       121:{1,3,6,7}:{(95,1),(111,1),(143,1),(144,1)}
       122:{1,2,4,6}:{(96,1),(97,1),(142,1),(144,1),(168,1)}
       123:{1,3,5,7}:{(97,1),(113,1),(144,1),(145,1),(169,1)}
       124:{1,2,3,6}:{(98,1),(99,1),(144,1),(146,1)}
       125:{1,2,4,7}:{(98,1),(100,1),(145,1),(146,1)}
       126:{2,3,4,6}:{(99,1),(100,1),(116,1),(146,1),(147,1),(156,1)}
       127:{1,3,5,6}:{(101,1),(103,1),(108,1),(148,1),(153,1),(154,1)}
       128:{1,2,5,7}:{(101,1),(102,1),(148,1),(149,1)}
       129:{2,3,6,7}:{(102,1),(111,1),(149,1),(150,1)}
       130:{1,2,4,6}:{(103,1),(104,1),(148,1),(150,1),(170,1)}
       131:{2,3,5,7}:{(104,1),(113,1),(150,1),(151,1),(171,1)}
       132:{1,2,3,6}:{(105,1),(106,1),(150,1),(152,1)}
       133:{1,2,4,7}:{(105,1),(107,1),(151,1),(152,1)}
       134:{1,3,4,6}:{(106,1),(107,1),(117,1),(152,1),(153,1),(156,1)}
       135:{1,2,4,5,6}:{(108,1),(109,1),(110,1),(112,1),(142,1),(148,1),(154,1),(157,1),(168,1),(170,1)}
       136:{3,5,7}:{(110,1),(111,1),(154,1),(155,1)}
       137:{3,6}:{(112,1),(113,1)}
       138:{3,4,7}:{(113,1),(115,1),(156,1)}
       139:{1,2,4,6}:{(114,1),(115,1),(116,1),(117,1),(156,1),(157,1),(168,1),(170,1)}
       140:{2,4,5}:{(116,1),(118,1),(147,1)}
       141:{1,4,5}:{(117,1),(118,1),(153,1)}
       142:{1,2,5,6}:{(119,1),(120,1),(122,1),(158,1),(161,1)}
       143:{1,3,5,7}:{(120,1),(121,1),(136,1),(158,1),(159,1)}
       144:{1,3,6}:{(122,1),(123,1),(137,1)}
       145:{1,3,4,7}:{(123,1),(125,1),(138,1),(159,1),(160,1)}
       146:{1,2,4,6}:{(124,1),(125,1),(126,1),(160,1),(161,1)}
       147:{2,3,5}:{(126,1),(140,1),(161,1),(167,1)}
       148:{1,2,5,6}:{(127,1),(128,1),(130,1),(162,1),(165,1)}
       149:{2,3,5,7}:{(128,1),(129,1),(136,1),(162,1),(163,1)}
       150:{2,3,6}:{(130,1),(131,1),(137,1)}
       151:{2,3,4,7}:{(131,1),(133,1),(138,1),(163,1),(164,1)}
       152:{1,2,4,6}:{(132,1),(133,1),(134,1),(164,1),(165,1)}
       153:{1,3,5}:{(134,1),(141,1),(165,1),(167,1)}
       154:{3,5,6}:{(135,1),(136,1),(137,1),(166,1),(167,1)}
       155:{3,4,7}:{(136,1),(159,1),(163,1),(166,1)}
       156:{3,4,6}:{(137,1),(138,1),(139,1),(167,1)}
       157:{1,2,4,5}:{(139,1),(140,1),(141,1),(161,1),(165,1),(167,1),(173,1),(174,1)}
       158:{1,3,5,6}:{(142,1),(143,1),(144,1),(154,1),(168,1),(169,1)}
       159:{1,4,7}:{(143,1),(155,1),(168,1)}
       160:{1,3,4,6}:{(144,1),(145,1),(146,1),(156,1),(168,1),(169,1)}
       161:{1,2,5}:{(146,1),(147,1),(169,1)}
       162:{2,3,5,6}:{(148,1),(149,1),(150,1),(154,1),(170,1),(171,1)}
       163:{2,4,7}:{(149,1),(155,1),(170,1)}
       164:{2,3,4,6}:{(150,1),(151,1),(152,1),(156,1),(170,1),(171,1)}
       165:{1,2,5}:{(152,1),(153,1),(171,1)}
       166:{3,4,6}:{(154,1),(155,1),(168,1),(170,1),(172,1)}
       167:{3,5}:{(156,1),(157,1)}
       168:{1,4,6}:{(158,1),(159,1),(166,1),(173,1)}
       169:{1,3,5}:{(160,1),(161,1),(167,1),(173,1)}
       170:{2,4,6}:{(162,1),(163,1),(166,1),(174,1)}
       171:{2,3,5}:{(164,1),(165,1),(167,1),(174,1)}
       172:{3,4,5}:{(166,1),(167,1),(173,1),(174,1)}
       173:{1,4,5}:{(168,1),(169,1),(172,1)}
       174:{2,4,5}:{(170,1),(171,1),(172,1)}

2074 :   0:{3,4,5,6,7}:{(1,1),(2,1),(12,1),(90,1)}
         1:{1,4,5,6,7}:{(0,1),(4,1),(98,1)}
         2:{2,4,5,6,7}:{(0,1),(3,1),(96,1)}
         3:{2,3,5,6,7}:{(2,1),(8,1),(10,1),(12,1),(86,1)}
         4:{1,3,5,6,7}:{(1,1),(9,1),(11,1),(12,1),(88,1)}
         5:{1,2,4,5,6,7}:{(1,1),(2,1),(10,1),(11,1),(12,1),(29,1),(30,1),(59,1)}
         6:{2,3,4,5,6}:{(13,1),(14,1),(45,1),(62,1),(97,1)}
         7:{1,3,4,5,6}:{(15,1),(16,1),(45,1),(66,1),(99,1)}
         8:{2,3,4,6,7}:{(3,1),(13,1),(17,1),(21,1)}
         9:{1,3,4,6,7}:{(4,1),(15,1),(18,1),(21,1)}
        10:{1,2,5,6,7}:{(3,1),(17,1),(19,1),(71,1)}
        11:{1,2,5,6,7}:{(4,1),(18,1),(20,1),(74,1)}
        12:{3,5,6,7}:{(5,1),(21,1),(76,1)}
        13:{2,3,4,5,7}:{(6,1),(8,1),(22,1),(31,1),(78,1),(86,1)}
        14:{1,2,4,5,6}:{(6,1),(22,1),(23,1),(47,1),(60,1),(87,1)}
        15:{1,3,4,5,7}:{(7,1),(9,1),(24,1),(31,1),(82,1),(88,1)}
        16:{1,2,4,5,6}:{(7,1),(24,1),(25,1),(51,1),(61,1),(89,1)}
        17:{1,2,4,6,7}:{(8,1),(10,1),(22,1),(26,1),(29,1)}
        18:{1,2,4,6,7}:{(9,1),(11,1),(24,1),(27,1),(30,1)}
        19:{1,3,5,6,7}:{(10,1),(12,1),(26,1),(29,1),(55,1)}
        20:{2,3,5,6,7}:{(11,1),(12,1),(27,1),(30,1),(57,1)}
        21:{3,4,6,7}:{(12,1),(29,1),(30,1),(31,1)}
        22:{1,2,4,5,7}:{(13,1),(14,1),(17,1),(33,1),(43,1),(63,1),(71,1)}
        23:{1,3,5,6}:{(14,1),(33,1),(34,1)}
        24:{1,2,4,5,7}:{(15,1),(16,1),(18,1),(36,1),(44,1),(67,1),(74,1)}
        25:{2,3,5,6}:{(16,1),(36,1),(37,1)}
        26:{1,3,6,7}:{(17,1),(33,1)}
        27:{2,3,6,7}:{(18,1),(36,1)}
        28:{1,2,3,5,6,7}:{(19,1),(20,1),(38,1),(40,1),(42,1),(71,1),(74,1),(76,1),(97,1),(99,1)}
        29:{1,4,6,7}:{(19,1),(21,1),(43,1)}
        30:{2,4,6,7}:{(20,1),(21,1),(44,1)}
        31:{3,4,5,7}:{(21,1),(43,1),(44,1),(45,1),(76,1)}
        32:{1,2,3,5,6}:{(23,1),(46,1),(47,1),(79,1),(87,1),(101,1)}
        33:{1,3,5,7}:{(22,1),(23,1),(26,1),(48,1)}
        34:{1,3,4,6}:{(23,1),(47,1),(48,1),(49,1)}
        35:{1,2,3,5,6}:{(25,1),(50,1),(51,1),(83,1),(89,1),(102,1)}
        36:{2,3,5,7}:{(24,1),(25,1),(27,1),(52,1)}
        37:{2,3,4,6}:{(25,1),(51,1),(52,1),(53,1)}
        38:{1,2,3,6,7}:{(26,1),(46,1),(54,1),(101,1)}
        39:{1,3,4,6,7}:{(26,1),(29,1),(48,1),(54,1),(55,1),(58,1),(81,1)}
        40:{1,2,3,6,7}:{(27,1),(50,1),(56,1),(102,1)}
        41:{2,3,4,6,7}:{(27,1),(30,1),(52,1),(56,1),(57,1),(58,1),(85,1)}
        42:{1,2,4,6,7}:{(28,1),(29,1),(30,1),(58,1),(59,1),(103,1),(104,1)}
        43:{1,4,5,7}:{(29,1),(31,1),(55,1),(60,1)}
        44:{2,4,5,7}:{(30,1),(31,1),(57,1),(61,1)}
        45:{3,4,5,6}:{(31,1),(60,1),(61,1),(91,1)}
        46:{1,2,3,5,7}:{(32,1),(33,1),(38,1),(63,1),(71,1),(92,1)}
        47:{1,2,4,6}:{(32,1),(34,1),(62,1),(63,1),(64,1)}
        48:{1,3,4,7}:{(33,1),(34,1),(63,1)}
        49:{1,3,4,5}:{(34,1),(64,1)}
        50:{1,2,3,5,7}:{(35,1),(36,1),(40,1),(67,1),(74,1),(94,1)}
        51:{1,2,4,6}:{(35,1),(37,1),(66,1),(67,1),(68,1)}
        52:{2,3,4,7}:{(36,1),(37,1),(67,1)}
        53:{2,3,4,5}:{(37,1),(68,1)}
        54:{1,2,4,6,7}:{(38,1),(39,1),(63,1),(70,1),(71,1),(93,1)}
        55:{1,3,5,7}:{(39,1),(43,1),(71,1),(72,1),(76,1)}
        56:{1,2,4,6,7}:{(40,1),(41,1),(67,1),(73,1),(74,1),(95,1)}
        57:{2,3,5,7}:{(41,1),(44,1),(74,1),(75,1),(76,1)}
        58:{3,4,6,7}:{(42,1),(76,1),(100,1)}
        59:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(71,1),(74,1),(76,1),(77,1),(96,1),(98,1)}
        60:{1,4,5,6}:{(43,1),(45,1),(72,1)}
        61:{2,4,5,6}:{(44,1),(45,1),(75,1)}
        62:{2,3,4,6}:{(47,1),(78,1),(79,1),(101,1)}
        63:{1,2,4,7}:{(46,1),(47,1),(48,1),(78,1)}
        64:{1,2,4,5}:{(47,1),(49,1),(79,1)}
        65:{1,3,4,5,7}:{(48,1),(49,1),(55,1),(80,1),(81,1),(90,1)}
        66:{1,3,4,6}:{(51,1),(82,1),(83,1),(102,1)}
        67:{1,2,4,7}:{(50,1),(51,1),(52,1),(82,1)}
        68:{1,2,4,5}:{(51,1),(53,1),(83,1)}
        69:{2,3,4,5,7}:{(52,1),(53,1),(57,1),(84,1),(85,1),(90,1)}
        70:{2,3,4,6,7}:{(54,1),(58,1),(78,1),(86,1),(101,1),(103,1)}
        71:{1,2,5,7}:{(54,1),(55,1),(86,1),(87,1)}
        72:{1,3,5,6}:{(55,1),(60,1),(81,1),(87,1),(91,1)}
        73:{1,3,4,6,7}:{(56,1),(58,1),(82,1),(88,1),(102,1),(104,1)}
        74:{1,2,5,7}:{(56,1),(57,1),(88,1),(89,1)}
        75:{2,3,5,6}:{(57,1),(61,1),(85,1),(89,1),(91,1)}
        76:{3,5,7}:{(58,1),(59,1),(91,1)}
        77:{1,2,4,5,6}:{(59,1),(60,1),(61,1),(87,1),(89,1),(91,1),(103,1),(104,1)}
        78:{2,3,4,7}:{(62,1),(63,1),(92,1)}
        79:{2,3,5}:{(62,1),(64,1)}
        80:{1,2,4,5,7}:{(63,1),(64,1),(65,1),(71,1),(92,1),(93,1),(96,1)}
        81:{1,3,4,6}:{(65,1),(72,1),(93,1),(100,1)}
        82:{1,3,4,7}:{(66,1),(67,1),(94,1)}
        83:{1,3,5}:{(66,1),(68,1)}
        84:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(74,1),(94,1),(95,1),(98,1)}
        85:{2,3,4,6}:{(69,1),(75,1),(95,1),(100,1)}
        86:{2,3,5,7}:{(70,1),(71,1),(76,1),(96,1),(97,1)}
        87:{1,2,5,6}:{(71,1),(72,1),(93,1),(97,1)}
        88:{1,3,5,7}:{(73,1),(74,1),(76,1),(98,1),(99,1)}
        89:{1,2,5,6}:{(74,1),(75,1),(95,1),(99,1)}
        90:{3,4,5,7}:{(76,1),(96,1),(98,1),(100,1)}
        91:{3,5,6}:{(76,1),(77,1),(100,1)}
        92:{2,3,5,7}:{(78,1),(79,1),(80,1),(101,1)}
        93:{1,2,4,6}:{(80,1),(81,1),(87,1),(101,1),(103,1)}
        94:{1,3,5,7}:{(82,1),(83,1),(84,1),(102,1)}
        95:{1,2,4,6}:{(84,1),(85,1),(89,1),(102,1),(104,1)}
        96:{2,4,5,7}:{(86,1),(90,1),(103,1)}
        97:{2,3,5,6}:{(86,1),(87,1),(91,1),(101,1),(103,1)}
        98:{1,4,5,7}:{(88,1),(90,1),(104,1)}
        99:{1,3,5,6}:{(88,1),(89,1),(91,1),(102,1),(104,1)}
       100:{3,4,6}:{(90,1),(91,1),(103,1),(104,1)}
       101:{2,3,6}:{(92,1),(93,1)}
       102:{1,3,6}:{(94,1),(95,1)}
       103:{2,4,6}:{(96,1),(97,1),(100,1)}
       104:{1,4,6}:{(98,1),(99,1),(100,1)}

2075 :   0:{4,5,6,7}:{(4,1),(76,1),(115,1)}
         1:{3,4,5,6}:{(5,1),(6,1),(7,1),(40,1),(85,1),(115,1),(119,1)}
         2:{1,3,4,5}:{(9,1),(12,1),(51,1),(85,1),(93,1)}
         3:{2,3,4,5}:{(10,1),(13,1),(50,1),(85,1),(92,1)}
         4:{3,5,6,7}:{(0,1),(14,1),(15,1),(16,1),(128,1)}
         5:{3,4,5,7}:{(1,1),(14,1),(17,1),(18,1),(58,1),(97,1)}
         6:{1,4,5,6}:{(1,1),(17,1),(19,1),(105,1),(132,1)}
         7:{2,4,5,6}:{(1,1),(18,1),(20,1),(104,1),(131,1)}
         8:{1,2,3,6,7}:{(24,1),(25,1),(94,1),(95,1),(109,1),(134,1)}
         9:{1,3,4,6}:{(2,1),(19,1),(22,1),(26,1),(62,1)}
        10:{2,3,4,6}:{(3,1),(20,1),(23,1),(27,1),(62,1)}
        11:{1,2,3,5,6}:{(24,1),(28,1),(60,1),(61,1),(67,1),(68,1),(71,1),(109,1),(110,1),(134,1)}
        12:{1,2,4,5}:{(2,1),(26,1),(29,1),(72,1),(104,1),(110,1)}
        13:{1,2,4,5}:{(3,1),(27,1),(30,1),(72,1),(105,1),(110,1)}
        14:{3,4,6,7}:{(4,1),(5,1),(31,1),(32,1),(75,1),(76,1),(119,1)}
        15:{1,5,6,7}:{(4,1),(31,1),(138,1)}
        16:{2,5,6,7}:{(4,1),(32,1),(137,1)}
        17:{1,4,5,7}:{(5,1),(6,1),(31,1),(34,1)}
        18:{2,4,5,7}:{(5,1),(7,1),(32,1),(35,1)}
        19:{1,3,5,6}:{(6,1),(9,1),(34,1),(38,1),(40,1),(93,1),(124,1)}
        20:{2,3,5,6}:{(7,1),(10,1),(35,1),(39,1),(40,1),(92,1),(123,1)}
        21:{1,2,4,5,6}:{(6,1),(7,1),(36,1),(38,1),(39,1),(40,1),(48,1),(83,1),(84,1),(90,1),(115,1),(121,1),(137,1),(138,1),(140,1)}
        22:{1,3,4,7}:{(9,1),(34,1),(41,1),(79,1)}
        23:{2,3,4,7}:{(10,1),(35,1),(42,1),(79,1)}
        24:{1,2,3,5,7}:{(8,1),(11,1),(43,1),(44,1),(77,1),(78,1),(86,1),(89,1),(122,1)}
        25:{1,2,4,6,7}:{(8,1),(37,1),(43,1),(44,1),(90,1),(112,1),(113,1)}
        26:{1,2,4,6}:{(9,1),(12,1),(38,1),(41,1),(45,1),(83,1)}
        27:{1,2,4,6}:{(10,1),(13,1),(39,1),(42,1),(46,1),(84,1)}
        28:{1,2,4,6}:{(11,1),(43,1),(47,1),(48,1),(83,1),(84,1)}
        29:{2,3,5}:{(12,1),(45,1),(50,1)}
        30:{1,3,5}:{(13,1),(46,1),(51,1)}
        31:{1,4,6,7}:{(14,1),(15,1),(17,1),(52,1),(132,1)}
        32:{2,4,6,7}:{(14,1),(16,1),(18,1),(53,1),(131,1)}
        33:{1,2,5,6,7}:{(15,1),(16,1),(54,1),(55,1),(67,1),(126,1),(127,1),(142,1)}
        34:{1,3,5,7}:{(17,1),(19,1),(22,1),(52,1),(56,1),(58,1)}
        35:{2,3,5,7}:{(18,1),(20,1),(23,1),(53,1),(57,1),(58,1)}
        36:{1,2,4,5,7}:{(17,1),(18,1),(21,1),(54,1),(56,1),(57,1),(58,1),(97,1),(99,1),(100,1),(126,1),(127,1)}
        37:{3,4,6,7}:{(25,1),(59,1),(65,1),(102,1),(109,1)}
        38:{1,2,5,6}:{(19,1),(26,1),(56,1),(60,1),(110,1),(134,1)}
        39:{1,2,5,6}:{(20,1),(27,1),(57,1),(61,1),(110,1),(134,1)}
        40:{3,5,6}:{(21,1),(58,1),(62,1),(71,1),(109,1),(133,1),(143,1)}
        41:{1,2,4,7}:{(22,1),(26,1),(56,1),(63,1),(99,1)}
        42:{1,2,4,7}:{(23,1),(27,1),(57,1),(64,1),(100,1)}
        43:{1,2,4,7}:{(24,1),(28,1),(65,1),(99,1),(100,1)}
        44:{1,2,5,7}:{(25,1),(59,1),(67,1),(126,1),(127,1)}
        45:{2,3,6}:{(26,1),(29,1),(63,1)}
        46:{1,3,6}:{(27,1),(30,1),(64,1)}
        47:{3,4,6}:{(28,1),(65,1),(71,1),(109,1)}
        48:{1,2,4,5}:{(28,1),(71,1),(104,1),(105,1),(110,1)}
        49:{1,2,3,5}:{(29,1),(30,1),(68,1),(72,1),(110,1)}
        50:{2,3,4}:{(29,1),(72,1)}
        51:{1,3,4}:{(30,1),(72,1)}
        52:{1,3,6,7}:{(31,1),(34,1),(73,1),(75,1),(124,1)}
        53:{2,3,6,7}:{(32,1),(35,1),(74,1),(75,1),(123,1)}
        54:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(36,1),(73,1),(74,1),(75,1),(76,1),(90,1),(112,1),(113,1),(140,1)}
        55:{3,5,6,7}:{(33,1),(75,1),(76,1),(81,1),(114,1),(145,1)}
        56:{1,2,5,7}:{(34,1),(38,1),(41,1),(73,1),(77,1)}
        57:{1,2,5,7}:{(35,1),(39,1),(42,1),(74,1),(78,1)}
        58:{3,5,7}:{(36,1),(40,1),(75,1),(79,1)}
        59:{3,5,7}:{(37,1),(44,1),(80,1),(81,1)}
        60:{2,3,5,6}:{(38,1),(40,1),(45,1),(77,1),(83,1),(92,1),(123,1),(137,1)}
        61:{1,3,5,6}:{(39,1),(40,1),(46,1),(78,1),(84,1),(93,1),(124,1),(138,1)}
        62:{3,4,6}:{(40,1),(79,1),(83,1),(84,1),(85,1)}
        63:{2,3,7}:{(41,1),(45,1)}
        64:{1,3,7}:{(42,1),(46,1)}
        65:{3,4,7}:{(43,1),(47,1),(89,1)}
        66:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(80,1),(89,1),(90,1),(117,1),(118,1),(122,1)}
        67:{1,2,5,6}:{(44,1),(81,1),(90,1),(137,1),(138,1)}
        68:{1,2,3,6}:{(45,1),(46,1),(49,1),(86,1),(91,1)}
        69:{2,3,4,6}:{(45,1),(47,1),(50,1),(83,1),(87,1),(91,1),(92,1),(120,1),(123,1)}
        70:{1,3,4,6}:{(46,1),(47,1),(51,1),(84,1),(88,1),(91,1),(93,1),(120,1),(124,1)}
        71:{3,5}:{(47,1),(48,1)}
        72:{1,2,4}:{(49,1),(50,1),(51,1)}
        73:{1,2,6,7}:{(52,1),(56,1),(94,1),(134,1)}
        74:{1,2,6,7}:{(53,1),(57,1),(95,1),(134,1)}
        75:{3,6,7}:{(54,1),(58,1),(109,1),(143,1)}
        76:{4,6,7}:{(55,1),(97,1),(102,1),(146,1)}
        77:{2,3,5,7}:{(56,1),(58,1),(60,1),(63,1),(94,1),(99,1),(126,1)}
        78:{1,3,5,7}:{(57,1),(58,1),(61,1),(64,1),(95,1),(100,1),(127,1)}
        79:{3,4,7}:{(58,1),(62,1),(99,1),(100,1)}
        80:{4,5,7}:{(59,1),(102,1)}
        81:{3,5,6}:{(59,1),(67,1),(102,1),(109,1)}
        82:{1,2,3,5,6}:{(60,1),(61,1),(68,1),(98,1),(103,1),(110,1),(133,1),(134,1),(142,1),(143,1)}
        83:{2,4,6}:{(60,1),(62,1),(99,1),(104,1)}
        84:{1,4,6}:{(61,1),(62,1),(100,1),(105,1)}
        85:{3,4,5}:{(62,1),(71,1),(104,1),(105,1),(133,1)}
        86:{1,2,3,7}:{(63,1),(64,1),(68,1),(106,1)}
        87:{2,3,4,7}:{(63,1),(65,1),(69,1),(99,1),(106,1),(107,1),(129,1)}
        88:{1,3,4,7}:{(64,1),(65,1),(70,1),(100,1),(106,1),(108,1),(129,1)}
        89:{3,5,7}:{(65,1),(66,1),(71,1),(109,1)}
        90:{1,2,4,6}:{(66,1),(67,1),(102,1),(109,1),(131,1),(132,1),(134,1)}
        91:{1,2,4,6}:{(68,1),(69,1),(70,1),(72,1),(106,1),(110,1),(134,1)}
        92:{2,3,5}:{(69,1),(71,1),(104,1),(110,1),(133,1)}
        93:{1,3,5}:{(70,1),(71,1),(105,1),(110,1),(133,1)}
        94:{2,3,6,7}:{(73,1),(75,1),(77,1),(112,1),(123,1)}
        95:{1,3,6,7}:{(74,1),(75,1),(78,1),(113,1),(124,1)}
        96:{3,4,6,7}:{(75,1),(76,1),(79,1),(112,1),(113,1),(114,1),(119,1)}
        97:{4,5,7}:{(76,1),(114,1),(115,1)}
        98:{1,2,3,5,7}:{(77,1),(78,1),(82,1),(86,1),(111,1),(116,1),(122,1),(136,1),(139,1)}
        99:{2,4,7}:{(77,1),(79,1),(83,1)}
       100:{1,4,7}:{(78,1),(79,1),(84,1)}
       101:{3,4,5,7}:{(79,1),(80,1),(85,1),(89,1),(114,1),(117,1),(118,1),(119,1),(139,1),(144,1)}
       102:{4,6}:{(80,1),(81,1)}
       103:{1,2,4,6}:{(82,1),(83,1),(84,1),(116,1),(120,1),(121,1)}
       104:{2,4,5}:{(83,1),(85,1),(92,1)}
       105:{1,4,5}:{(84,1),(85,1),(93,1)}
       106:{1,2,4,7}:{(86,1),(87,1),(88,1),(91,1),(122,1)}
       107:{2,3,5,7}:{(87,1),(89,1),(92,1),(117,1),(122,1),(123,1),(139,1)}
       108:{1,3,5,7}:{(88,1),(89,1),(93,1),(118,1),(122,1),(124,1),(139,1)}
       109:{3,6}:{(89,1),(90,1)}
       110:{1,2,5}:{(91,1),(92,1),(93,1)}
       111:{1,2,3,6,7}:{(94,1),(95,1),(98,1),(125,1),(134,1),(143,1)}
       112:{2,4,6,7}:{(94,1),(96,1),(99,1),(126,1),(131,1)}
       113:{1,4,6,7}:{(95,1),(96,1),(100,1),(127,1),(132,1)}
       114:{3,5,7}:{(96,1),(97,1),(126,1),(127,1),(128,1)}
       115:{4,5,6}:{(97,1),(102,1),(128,1),(146,1)}
       116:{1,2,4,7}:{(98,1),(99,1),(100,1),(103,1),(129,1)}
       117:{2,4,5,7}:{(99,1),(101,1),(104,1),(107,1),(126,1),(131,1)}
       118:{1,4,5,7}:{(100,1),(101,1),(105,1),(108,1),(127,1),(132,1)}
       119:{3,4,6}:{(101,1),(102,1),(109,1),(128,1),(131,1),(132,1),(143,1),(146,1)}
       120:{3,4,6}:{(103,1),(129,1),(133,1),(143,1)}
       121:{1,2,4,5}:{(103,1),(104,1),(105,1),(110,1),(133,1)}
       122:{1,2,5,7}:{(106,1),(107,1),(108,1),(110,1),(134,1)}
       123:{2,3,6}:{(107,1),(109,1),(131,1),(134,1),(143,1)}
       124:{1,3,6}:{(108,1),(109,1),(132,1),(134,1),(143,1)}
       125:{1,2,4,6,7}:{(111,1),(112,1),(113,1),(116,1),(135,1),(136,1),(140,1)}
       126:{2,5,7}:{(112,1),(114,1),(137,1)}
       127:{1,5,7}:{(113,1),(114,1),(138,1)}
       128:{3,5,6}:{(114,1),(115,1),(119,1),(137,1),(138,1)}
       129:{3,4,7}:{(116,1),(120,1),(139,1)}
       130:{1,2,4,5,7}:{(116,1),(117,1),(118,1),(121,1),(122,1),(136,1),(139,1),(140,1),(144,1)}
       131:{2,4,6}:{(117,1),(119,1),(123,1),(137,1)}
       132:{1,4,6}:{(118,1),(119,1),(124,1),(138,1)}
       133:{3,5}:{(120,1),(121,1)}
       134:{1,2,6}:{(122,1),(123,1),(124,1)}
       135:{3,4,6,7}:{(125,1),(129,1),(141,1),(143,1),(146,1)}
       136:{1,2,5,7}:{(125,1),(126,1),(127,1),(141,1),(142,1)}
       137:{2,5,6}:{(126,1),(128,1),(131,1)}
       138:{1,5,6}:{(127,1),(128,1),(132,1)}
       139:{3,5,7}:{(129,1),(130,1),(133,1),(143,1)}
       140:{1,2,4,6}:{(130,1),(131,1),(132,1),(134,1),(142,1),(143,1),(146,1)}
       141:{3,5,7}:{(135,1),(136,1),(144,1),(145,1)}
       142:{1,2,5,6}:{(136,1),(137,1),(138,1),(140,1),(145,1)}
       143:{3,6}:{(139,1),(140,1)}
       144:{4,5,7}:{(141,1),(146,1)}
       145:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

2076 :   0:{1,2,3,6,7}:{(2,1),(3,1),(41,1),(78,1),(79,1),(80,1)}
         1:{1,2,3,5,6}:{(2,1),(4,1),(13,1),(14,1),(17,1),(41,1),(47,1),(48,1),(49,1),(78,1)}
         2:{1,2,3,5,7}:{(0,1),(1,1),(6,1),(7,1),(21,1),(24,1),(58,1),(68,1),(69,1)}
         3:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(7,1),(25,1),(93,1),(94,1)}
         4:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1),(64,1),(65,1)}
         5:{3,4,6,7}:{(3,1),(10,1),(11,1),(36,1),(41,1)}
         6:{1,2,4,7}:{(2,1),(4,1),(11,1),(83,1),(84,1)}
         7:{1,2,5,7}:{(3,1),(10,1),(13,1),(100,1),(101,1)}
         8:{3,4,6}:{(4,1),(11,1),(17,1),(41,1)}
         9:{1,2,4,5}:{(4,1),(17,1),(44,1),(45,1),(47,1)}
        10:{3,5,7}:{(5,1),(7,1),(19,1),(20,1)}
        11:{3,4,7}:{(6,1),(8,1),(24,1)}
        12:{1,2,4,5,7}:{(6,1),(7,1),(9,1),(19,1),(24,1),(25,1),(54,1),(55,1),(58,1)}
        13:{1,2,5,6}:{(7,1),(20,1),(25,1),(88,1),(89,1)}
        14:{1,2,3,6}:{(21,1),(27,1),(29,1),(96,1)}
        15:{2,3,4,6}:{(8,1),(22,1),(29,1),(30,1),(59,1),(62,1),(64,1),(86,1),(96,1)}
        16:{1,3,4,6}:{(8,1),(23,1),(29,1),(31,1),(60,1),(62,1),(65,1),(86,1),(96,1)}
        17:{3,5}:{(8,1),(9,1)}
        18:{1,2,4,5,6}:{(9,1),(25,1),(32,1),(33,1),(52,1),(64,1),(65,1),(67,1),(88,1),(89,1)}
        19:{4,5,7}:{(10,1),(36,1)}
        20:{3,5,6}:{(10,1),(13,1),(36,1),(41,1)}
        21:{1,2,3,7}:{(14,1),(38,1),(104,1)}
        22:{2,3,4,7}:{(11,1),(15,1),(38,1),(39,1),(73,1),(83,1),(104,1)}
        23:{1,3,4,7}:{(11,1),(16,1),(38,1),(40,1),(73,1),(84,1),(104,1)}
        24:{3,5,7}:{(11,1),(12,1),(17,1),(41,1)}
        25:{1,2,4,6}:{(12,1),(13,1),(36,1),(41,1),(75,1),(76,1),(78,1)}
        26:{1,2,5,6,7}:{(13,1),(37,1),(42,1),(100,1),(101,1)}
        27:{1,2,3,5}:{(14,1),(43,1),(47,1),(81,1)}
        28:{3,4,5}:{(17,1),(44,1),(45,1),(46,1),(81,1)}
        29:{1,2,4,6}:{(14,1),(15,1),(16,1),(38,1),(43,1),(47,1),(78,1)}
        30:{2,3,5}:{(15,1),(17,1),(44,1),(47,1),(81,1),(98,1)}
        31:{1,3,5}:{(16,1),(17,1),(45,1),(47,1),(81,1),(98,1)}
        32:{3,5,6}:{(17,1),(18,1),(41,1),(46,1),(50,1)}
        33:{1,2,4,5,7}:{(18,1),(42,1),(50,1),(72,1),(83,1),(84,1),(85,1),(100,1),(101,1)}
        34:{1,2,3,5,7}:{(21,1),(27,1),(51,1),(53,1),(58,1),(87,1),(91,1)}
        35:{3,4,5,7}:{(19,1),(24,1),(28,1),(54,1),(55,1),(56,1),(66,1),(90,1),(91,1),(105,1),(111,1)}
        36:{4,6}:{(19,1),(20,1)}
        37:{3,5,6,7}:{(20,1),(26,1),(57,1),(61,1),(90,1)}
        38:{1,2,4,7}:{(21,1),(22,1),(23,1),(29,1),(58,1)}
        39:{2,3,5,7}:{(22,1),(24,1),(30,1),(54,1),(58,1),(59,1),(91,1)}
        40:{1,3,5,7}:{(23,1),(24,1),(31,1),(55,1),(58,1),(60,1),(91,1)}
        41:{3,6}:{(24,1),(25,1)}
        42:{1,2,4,6,7}:{(25,1),(26,1),(33,1),(57,1),(61,1),(93,1),(94,1),(95,1)}
        43:{1,2,4}:{(27,1),(62,1)}
        44:{2,4,5}:{(28,1),(30,1),(64,1),(105,1)}
        45:{1,4,5}:{(28,1),(31,1),(65,1),(105,1)}
        46:{3,4,6}:{(28,1),(32,1),(64,1),(65,1),(66,1),(96,1)}
        47:{1,2,5}:{(29,1),(30,1),(31,1)}
        48:{2,3,5,6}:{(30,1),(32,1),(59,1),(64,1),(67,1),(68,1),(88,1),(96,1),(106,1)}
        49:{1,3,5,6}:{(31,1),(32,1),(60,1),(65,1),(67,1),(69,1),(89,1),(96,1),(106,1)}
        50:{3,5,7}:{(32,1),(33,1),(61,1),(66,1)}
        51:{1,2,3,6}:{(34,1),(70,1),(78,1),(102,1)}
        52:{4,5,6}:{(36,1),(71,1),(72,1),(109,1)}
        53:{1,2,4,7}:{(34,1),(43,1),(70,1),(73,1)}
        54:{2,4,5,7}:{(35,1),(39,1),(44,1),(75,1),(83,1),(100,1)}
        55:{1,4,5,7}:{(35,1),(40,1),(45,1),(76,1),(84,1),(101,1)}
        56:{3,4,6}:{(35,1),(36,1),(41,1),(71,1),(75,1),(76,1),(102,1),(109,1)}
        57:{4,6,7}:{(36,1),(37,1),(72,1)}
        58:{1,2,5,7}:{(38,1),(39,1),(40,1),(47,1),(78,1)}
        59:{2,3,6}:{(39,1),(41,1),(75,1),(78,1),(102,1)}
        60:{1,3,6}:{(40,1),(41,1),(76,1),(78,1),(102,1)}
        61:{3,6,7}:{(41,1),(42,1),(50,1)}
        62:{3,4}:{(43,1),(81,1)}
        63:{1,2,4,5}:{(43,1),(44,1),(45,1),(47,1),(81,1),(82,1)}
        64:{2,4,6}:{(44,1),(46,1),(48,1),(83,1),(109,1)}
        65:{1,4,6}:{(45,1),(46,1),(49,1),(84,1),(109,1)}
        66:{3,4,7}:{(46,1),(50,1),(83,1),(84,1),(104,1)}
        67:{1,2,5,6}:{(47,1),(48,1),(49,1),(78,1),(82,1),(85,1)}
        68:{2,3,5,7}:{(48,1),(50,1),(79,1),(83,1),(85,1),(100,1),(104,1),(110,1)}
        69:{1,3,5,7}:{(49,1),(50,1),(80,1),(84,1),(85,1),(101,1),(104,1),(110,1)}
        70:{1,2,4,6}:{(51,1),(53,1),(86,1),(87,1)}
        71:{3,5,6}:{(52,1),(56,1),(88,1),(89,1),(90,1)}
        72:{4,5,7}:{(52,1),(57,1),(90,1),(111,1)}
        73:{3,4,7}:{(53,1),(62,1),(86,1),(91,1),(111,1)}
        74:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(58,1),(63,1),(87,1),(91,1),(92,1),(97,1),(105,1),(107,1),(111,1)}
        75:{2,4,6}:{(54,1),(56,1),(59,1),(88,1)}
        76:{1,4,6}:{(55,1),(56,1),(60,1),(89,1)}
        77:{3,4,6,7}:{(56,1),(57,1),(61,1),(66,1),(90,1),(93,1),(94,1),(108,1),(111,1)}
        78:{1,2,6}:{(58,1),(59,1),(60,1)}
        79:{2,3,6,7}:{(59,1),(61,1),(68,1),(93,1),(95,1),(108,1)}
        80:{1,3,6,7}:{(60,1),(61,1),(69,1),(94,1),(95,1),(108,1)}
        81:{3,5}:{(62,1),(63,1),(96,1)}
        82:{1,2,4,6}:{(63,1),(64,1),(65,1),(67,1),(96,1),(97,1)}
        83:{2,4,7}:{(64,1),(66,1),(68,1),(111,1)}
        84:{1,4,7}:{(65,1),(66,1),(69,1),(111,1)}
        85:{1,2,5,7}:{(67,1),(68,1),(69,1),(95,1),(97,1)}
        86:{3,4,6}:{(70,1),(73,1),(98,1),(102,1),(109,1)}
        87:{1,2,5}:{(70,1),(98,1)}
        88:{2,5,6}:{(71,1),(75,1),(100,1)}
        89:{1,5,6}:{(71,1),(76,1),(101,1)}
        90:{3,5,7}:{(71,1),(72,1),(77,1),(100,1),(101,1)}
        91:{3,5,7}:{(73,1),(74,1),(81,1),(98,1),(102,1),(104,1)}
        92:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(99,1),(102,1),(109,1)}
        93:{2,4,6,7}:{(75,1),(77,1),(79,1),(83,1),(100,1)}
        94:{1,4,6,7}:{(76,1),(77,1),(80,1),(84,1),(101,1)}
        95:{1,2,6,7}:{(78,1),(79,1),(80,1),(85,1)}
        96:{3,6}:{(81,1),(82,1),(104,1)}
        97:{1,2,4,7}:{(82,1),(83,1),(84,1),(85,1),(104,1)}
        98:{3,5}:{(86,1),(87,1),(105,1)}
        99:{1,2,5,6}:{(87,1),(88,1),(89,1),(92,1),(106,1),(107,1)}
       100:{2,5,7}:{(88,1),(90,1),(93,1)}
       101:{1,5,7}:{(89,1),(90,1),(94,1)}
       102:{3,6}:{(91,1),(92,1)}
       103:{1,2,4,6,7}:{(92,1),(93,1),(94,1),(95,1),(97,1),(107,1),(108,1),(111,1)}
       104:{3,7}:{(96,1),(97,1)}
       105:{4,5}:{(98,1),(109,1)}
       106:{3,5,6}:{(98,1),(99,1),(102,1),(109,1),(110,1)}
       107:{1,2,5,7}:{(99,1),(100,1),(101,1),(103,1),(110,1)}
       108:{3,6,7}:{(102,1),(103,1),(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5,7}:{(106,1),(107,1),(108,1),(111,1)}
       111:{4,7}:{(109,1),(110,1)}

2077 :   0:{1,2,3,6,7}:{(3,1),(4,1),(47,1),(48,1),(57,1),(88,1)}
         1:{1,2,3,5,6}:{(4,1),(5,1),(19,1),(20,1),(21,1),(24,1),(57,1),(61,1),(62,1),(88,1)}
         2:{1,2,4,5,6}:{(8,1),(9,1),(12,1),(35,1),(36,1),(37,1),(38,1),(63,1),(91,1),(92,1)}
         3:{1,2,4,6,7}:{(0,1),(7,1),(10,1),(11,1),(38,1),(65,1),(66,1)}
         4:{1,2,3,5,7}:{(0,1),(1,1),(10,1),(11,1),(32,1),(33,1),(39,1),(76,1),(77,1)}
         5:{1,2,4,6}:{(1,1),(11,1),(12,1),(13,1),(35,1),(36,1)}
         6:{1,2,5,6,7}:{(14,1),(15,1),(21,1),(80,1),(81,1)}
         7:{3,4,6,7}:{(3,1),(16,1),(23,1),(49,1),(57,1)}
         8:{1,2,4,5,7}:{(2,1),(15,1),(17,1),(45,1),(51,1),(52,1),(53,1),(80,1),(81,1)}
         9:{3,5,6}:{(2,1),(17,1),(18,1),(24,1),(57,1)}
        10:{1,2,5,7}:{(3,1),(16,1),(21,1),(80,1),(81,1)}
        11:{1,2,4,7}:{(4,1),(5,1),(23,1),(51,1),(52,1)}
        12:{1,2,4,5}:{(5,1),(24,1),(54,1),(55,1),(61,1)}
        13:{3,4,6}:{(5,1),(23,1),(24,1),(57,1)}
        14:{3,5,6,7}:{(6,1),(27,1),(28,1),(29,1),(64,1)}
        15:{1,2,4,6,7}:{(6,1),(8,1),(27,1),(28,1),(38,1),(65,1),(66,1),(67,1)}
        16:{3,5,7}:{(7,1),(10,1),(29,1),(30,1)}
        17:{3,5,7}:{(8,1),(9,1),(28,1),(31,1)}
        18:{3,4,6}:{(9,1),(31,1),(34,1),(35,1),(36,1),(73,1)}
        19:{1,3,5,6}:{(9,1),(32,1),(35,1),(37,1),(42,1),(73,1),(74,1),(91,1),(105,1)}
        20:{2,3,5,6}:{(9,1),(33,1),(36,1),(37,1),(43,1),(73,1),(75,1),(92,1),(105,1)}
        21:{1,2,5,6}:{(10,1),(29,1),(38,1),(91,1),(92,1)}
        22:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(30,1),(38,1),(39,1),(69,1),(70,1),(76,1)}
        23:{3,4,7}:{(11,1),(13,1),(39,1)}
        24:{3,5}:{(12,1),(13,1)}
        25:{1,3,4,6}:{(13,1),(35,1),(40,1),(42,1),(44,1),(73,1),(74,1),(97,1),(107,1)}
        26:{2,3,4,6}:{(13,1),(36,1),(41,1),(43,1),(44,1),(73,1),(75,1),(97,1),(107,1)}
        27:{4,6,7}:{(14,1),(45,1),(49,1)}
        28:{3,6,7}:{(15,1),(17,1),(57,1)}
        29:{3,5,6}:{(16,1),(21,1),(49,1),(57,1)}
        30:{4,5,7}:{(16,1),(49,1)}
        31:{3,4,7}:{(17,1),(18,1),(51,1),(52,1),(86,1)}
        32:{1,3,5,7}:{(17,1),(19,1),(47,1),(51,1),(53,1),(80,1),(86,1),(101,1)}
        33:{2,3,5,7}:{(17,1),(20,1),(48,1),(52,1),(53,1),(81,1),(86,1),(101,1)}
        34:{3,4,5}:{(18,1),(24,1),(54,1),(55,1),(87,1)}
        35:{1,4,6}:{(18,1),(19,1),(51,1),(54,1),(109,1)}
        36:{2,4,6}:{(18,1),(20,1),(52,1),(55,1),(109,1)}
        37:{1,2,5,6}:{(19,1),(20,1),(53,1),(56,1),(61,1),(88,1)}
        38:{1,2,4,6}:{(21,1),(22,1),(49,1),(57,1),(83,1),(84,1),(88,1)}
        39:{3,5,7}:{(22,1),(23,1),(24,1),(57,1)}
        40:{1,3,4,7}:{(23,1),(25,1),(51,1),(58,1),(60,1),(86,1),(103,1)}
        41:{2,3,4,7}:{(23,1),(26,1),(52,1),(59,1),(60,1),(86,1),(103,1)}
        42:{1,3,5}:{(24,1),(25,1),(54,1),(61,1),(87,1),(110,1)}
        43:{2,3,5}:{(24,1),(26,1),(55,1),(61,1),(87,1),(110,1)}
        44:{1,2,4,6}:{(25,1),(26,1),(60,1),(61,1),(62,1),(88,1),(90,1)}
        45:{4,5,7}:{(27,1),(63,1),(64,1),(106,1)}
        46:{3,4,6,7}:{(27,1),(28,1),(31,1),(64,1),(65,1),(66,1),(68,1),(94,1),(106,1)}
        47:{1,3,6,7}:{(28,1),(32,1),(65,1),(67,1),(74,1),(94,1)}
        48:{2,3,6,7}:{(28,1),(33,1),(66,1),(67,1),(75,1),(94,1)}
        49:{4,6}:{(29,1),(30,1)}
        50:{3,4,5,7}:{(30,1),(31,1),(34,1),(39,1),(64,1),(68,1),(69,1),(70,1),(96,1),(106,1),(111,1)}
        51:{1,4,7}:{(31,1),(32,1),(35,1),(106,1)}
        52:{2,4,7}:{(31,1),(33,1),(36,1),(106,1)}
        53:{1,2,5,7}:{(32,1),(33,1),(37,1),(67,1),(71,1)}
        54:{1,4,5}:{(34,1),(35,1),(42,1),(111,1)}
        55:{2,4,5}:{(34,1),(36,1),(43,1),(111,1)}
        56:{1,2,4,6}:{(35,1),(36,1),(37,1),(71,1),(72,1),(73,1)}
        57:{3,6}:{(38,1),(39,1)}
        58:{1,3,5,7}:{(39,1),(40,1),(42,1),(69,1),(74,1),(76,1),(96,1)}
        59:{2,3,5,7}:{(39,1),(41,1),(43,1),(70,1),(75,1),(76,1),(96,1)}
        60:{1,2,4,7}:{(40,1),(41,1),(44,1),(76,1),(77,1)}
        61:{1,2,5}:{(42,1),(43,1),(44,1)}
        62:{1,2,3,6}:{(44,1),(73,1),(77,1),(78,1)}
        63:{4,5,6}:{(45,1),(49,1),(79,1),(109,1)}
        64:{3,5,7}:{(45,1),(46,1),(79,1),(80,1),(81,1)}
        65:{1,4,6,7}:{(46,1),(47,1),(51,1),(80,1),(83,1)}
        66:{2,4,6,7}:{(46,1),(48,1),(52,1),(81,1),(84,1)}
        67:{1,2,6,7}:{(47,1),(48,1),(53,1),(88,1)}
        68:{3,4,6}:{(49,1),(50,1),(57,1),(79,1),(83,1),(84,1),(102,1),(109,1)}
        69:{1,4,5,7}:{(50,1),(51,1),(54,1),(58,1),(80,1),(83,1)}
        70:{2,4,5,7}:{(50,1),(52,1),(55,1),(59,1),(81,1),(84,1)}
        71:{1,2,4,7}:{(51,1),(52,1),(53,1),(56,1),(86,1)}
        72:{1,2,4,5}:{(54,1),(55,1),(56,1),(61,1),(87,1),(90,1)}
        73:{3,6}:{(56,1),(86,1),(87,1)}
        74:{1,3,6}:{(57,1),(58,1),(83,1),(88,1),(102,1)}
        75:{2,3,6}:{(57,1),(59,1),(84,1),(88,1),(102,1)}
        76:{1,2,5,7}:{(58,1),(59,1),(60,1),(61,1),(88,1)}
        77:{1,2,3,7}:{(60,1),(62,1),(86,1)}
        78:{1,2,3,5}:{(61,1),(62,1),(87,1),(90,1)}
        79:{3,5,6}:{(63,1),(64,1),(68,1),(91,1),(92,1)}
        80:{1,5,7}:{(64,1),(65,1),(91,1)}
        81:{2,5,7}:{(64,1),(66,1),(92,1)}
        82:{1,2,4,6,7}:{(65,1),(66,1),(67,1),(71,1),(93,1),(94,1),(95,1),(106,1)}
        83:{1,4,6}:{(68,1),(69,1),(74,1),(91,1)}
        84:{2,4,6}:{(68,1),(70,1),(75,1),(92,1)}
        85:{1,2,4,5,7}:{(69,1),(70,1),(71,1),(72,1),(76,1),(93,1),(95,1),(96,1),(99,1),(106,1),(108,1),(111,1)}
        86:{3,7}:{(71,1),(73,1)}
        87:{3,5}:{(72,1),(73,1),(97,1)}
        88:{1,2,6}:{(74,1),(75,1),(76,1)}
        89:{1,2,3,5,7}:{(76,1),(77,1),(78,1),(96,1),(98,1),(99,1),(108,1)}
        90:{1,2,4}:{(78,1),(97,1)}
        91:{1,5,6}:{(79,1),(80,1),(83,1)}
        92:{2,5,6}:{(79,1),(81,1),(84,1)}
        93:{1,2,5,7}:{(80,1),(81,1),(82,1),(100,1),(101,1)}
        94:{3,6,7}:{(82,1),(86,1),(101,1),(102,1)}
        95:{1,2,4,6}:{(83,1),(84,1),(85,1),(88,1),(100,1),(102,1),(109,1)}
        96:{3,5,7}:{(85,1),(86,1),(87,1),(102,1),(103,1),(110,1)}
        97:{3,4}:{(87,1),(90,1)}
        98:{1,2,3,6}:{(88,1),(89,1),(102,1),(104,1)}
        99:{1,2,4,7}:{(89,1),(90,1),(103,1),(104,1)}
       100:{1,2,5,6}:{(91,1),(92,1),(93,1),(95,1),(105,1),(108,1)}
       101:{3,5,7}:{(93,1),(94,1),(105,1),(106,1)}
       102:{3,6}:{(95,1),(96,1)}
       103:{3,4,7}:{(96,1),(97,1),(99,1),(106,1),(107,1)}
       104:{1,2,4,6}:{(98,1),(99,1),(107,1),(108,1)}
       105:{3,5,6}:{(100,1),(101,1),(102,1),(109,1),(110,1)}
       106:{4,7}:{(101,1),(109,1)}
       107:{3,4,6}:{(102,1),(103,1),(104,1),(109,1),(110,1)}
       108:{1,2,5}:{(104,1),(110,1)}
       109:{4,6}:{(105,1),(106,1),(111,1)}
       110:{3,5}:{(107,1),(108,1),(111,1)}
       111:{4,5}:{(109,1),(110,1)}

2078 :   0:{1,2,3,4,7}:{(1,1),(2,1),(26,1),(47,1)}
         1:{1,2,3,4,6}:{(0,1),(3,1),(5,1),(12,1),(14,1),(33,1)}
         2:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(5,1)}
         3:{1,2,3,5}:{(1,1),(7,1)}
         4:{1,2,4,5,7}:{(2,1),(6,1),(7,1),(9,1),(26,1),(27,1)}
         5:{1,2,3,6}:{(2,1),(9,1)}
         6:{3,4,5,7}:{(4,1),(11,1),(13,1),(31,1),(37,1)}
         7:{1,2,4,5}:{(3,1),(13,1),(14,1)}
         8:{1,2,3,5,6}:{(3,1),(5,1),(14,1),(15,1),(16,1),(33,1),(36,1),(63,1)}
         9:{1,2,4,6}:{(4,1),(5,1),(11,1),(16,1)}
        10:{1,2,3,6,7}:{(5,1),(15,1),(17,1),(67,1),(90,1)}
        11:{3,4,6}:{(6,1),(9,1),(19,1)}
        12:{1,2,3,4}:{(21,1)}
        13:{3,4,5}:{(7,1),(24,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(26,1)}
        15:{1,2,3,5,7}:{(8,1),(10,1),(26,1),(27,1),(47,1),(52,1),(78,1)}
        16:{1,2,5,6}:{(9,1),(19,1),(27,1)}
        17:{1,2,4,6,7}:{(9,1),(10,1),(20,1),(26,1),(27,1)}
        18:{1,2,3,4,6}:{(12,1),(28,1),(29,1),(33,1),(55,1),(57,1)}
        19:{3,5,6}:{(11,1),(16,1),(30,1),(31,1)}
        20:{3,4,6,7}:{(11,1),(17,1),(31,1),(37,1),(62,1),(67,1)}
        21:{1,2,3,5}:{(12,1),(32,1),(33,1)}
        22:{1,3,4,5}:{(13,1),(32,1),(34,1),(56,1)}
        23:{2,3,4,5}:{(13,1),(32,1),(35,1),(56,1)}
        24:{3,4,6}:{(13,1),(14,1),(36,1),(37,1)}
        25:{1,2,4,5,6}:{(14,1),(16,1),(30,1),(36,1),(38,1),(59,1),(60,1),(63,1)}
        26:{1,2,4,7}:{(14,1),(15,1),(37,1)}
        27:{1,2,5,7}:{(16,1),(17,1),(31,1)}
        28:{1,2,3,4,7}:{(18,1),(40,1),(47,1),(74,1)}
        29:{1,2,3,5}:{(18,1),(41,1)}
        30:{4,5,6}:{(19,1),(44,1)}
        31:{3,5,7}:{(19,1),(20,1),(27,1),(44,1)}
        32:{1,2,4,5}:{(21,1),(22,1),(23,1),(46,1)}
        33:{1,2,3,6}:{(21,1),(46,1),(47,1)}
        34:{1,3,4,6}:{(22,1),(24,1),(46,1),(48,1),(49,1),(72,1)}
        35:{2,3,4,6}:{(23,1),(24,1),(46,1),(50,1),(51,1),(72,1)}
        36:{3,5,6}:{(24,1),(25,1),(52,1)}
        37:{3,4,7}:{(24,1),(26,1),(52,1)}
        38:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(44,1),(52,1),(53,1),(75,1),(76,1),(78,1)}
        39:{1,2,5,6,7}:{(27,1),(45,1),(53,1),(94,1),(95,1)}
        40:{1,2,3,5,7}:{(28,1),(29,1),(54,1),(55,1)}
        41:{1,2,4,5}:{(29,1),(56,1),(57,1)}
        42:{1,2,3,5,6}:{(29,1),(33,1),(55,1),(57,1),(58,1),(63,1),(82,1),(85,1)}
        43:{3,4,5,6}:{(30,1),(36,1),(59,1),(60,1),(61,1),(85,1),(98,1)}
        44:{4,5,7}:{(30,1),(31,1),(62,1)}
        45:{3,5,6,7}:{(31,1),(39,1),(62,1),(67,1)}
        46:{1,2,4,6}:{(32,1),(33,1),(34,1),(35,1),(63,1),(64,1)}
        47:{1,2,3,7}:{(33,1),(64,1)}
        48:{1,3,5,6}:{(34,1),(36,1),(59,1),(63,1),(65,1),(85,1)}
        49:{1,3,4,7}:{(34,1),(37,1),(64,1),(65,1),(86,1)}
        50:{2,3,5,6}:{(35,1),(36,1),(60,1),(63,1),(66,1),(85,1)}
        51:{2,3,4,7}:{(35,1),(37,1),(64,1),(66,1),(86,1)}
        52:{3,5,7}:{(36,1),(37,1),(38,1),(67,1)}
        53:{1,2,4,6,7}:{(38,1),(39,1),(62,1),(67,1),(88,1),(89,1),(90,1)}
        54:{1,2,4,5,7}:{(40,1),(41,1),(68,1),(69,1),(74,1),(93,1)}
        55:{1,2,3,6}:{(40,1),(69,1)}
        56:{3,4,5}:{(41,1),(72,1)}
        57:{1,2,4,6}:{(41,1),(42,1),(72,1),(74,1)}
        58:{1,2,3,5,7}:{(42,1),(47,1),(70,1),(74,1),(78,1),(93,1),(96,1)}
        59:{1,4,5,6}:{(43,1),(48,1),(75,1)}
        60:{2,4,5,6}:{(43,1),(50,1),(76,1)}
        61:{3,4,5,7}:{(43,1),(44,1),(52,1),(75,1),(76,1),(77,1),(96,1),(102,1)}
        62:{4,6,7}:{(44,1),(45,1)}
        63:{1,2,5,6}:{(46,1),(48,1),(50,1),(78,1)}
        64:{1,2,4,7}:{(46,1),(47,1),(49,1),(51,1),(78,1)}
        65:{1,3,5,7}:{(48,1),(49,1),(52,1),(75,1),(78,1),(79,1),(96,1)}
        66:{2,3,5,7}:{(50,1),(51,1),(52,1),(76,1),(78,1),(80,1),(96,1)}
        67:{3,6,7}:{(52,1),(53,1)}
        68:{3,4,5,7}:{(54,1),(56,1),(81,1),(86,1),(99,1)}
        69:{1,2,4,6}:{(54,1),(55,1),(81,1),(82,1)}
        70:{1,2,3,6,7}:{(55,1),(58,1),(83,1),(90,1),(101,1)}
        71:{4,5,6,7}:{(62,1),(84,1),(104,1)}
        72:{3,4,6}:{(56,1),(57,1),(85,1),(86,1)}
        73:{1,2,4,5,6}:{(57,1),(59,1),(60,1),(63,1),(82,1),(85,1),(87,1),(98,1)}
        74:{1,2,4,7}:{(57,1),(58,1),(86,1)}
        75:{1,4,5,7}:{(59,1),(61,1),(65,1),(88,1)}
        76:{2,4,5,7}:{(60,1),(61,1),(66,1),(89,1)}
        77:{3,4,6,7}:{(61,1),(62,1),(67,1),(84,1),(88,1),(89,1),(101,1),(104,1)}
        78:{1,2,5,7}:{(63,1),(64,1),(65,1),(66,1),(90,1)}
        79:{1,3,6,7}:{(65,1),(67,1),(88,1),(90,1),(101,1)}
        80:{2,3,6,7}:{(66,1),(67,1),(89,1),(90,1),(101,1)}
        81:{3,4,6}:{(68,1),(69,1),(91,1)}
        82:{1,2,5,6}:{(69,1),(91,1),(93,1)}
        83:{1,2,4,6,7}:{(69,1),(70,1),(74,1),(92,1),(93,1)}
        84:{3,5,6,7}:{(71,1),(77,1),(94,1),(95,1)}
        85:{3,5,6}:{(72,1),(73,1),(96,1)}
        86:{3,4,7}:{(72,1),(74,1),(96,1)}
        87:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(76,1),(78,1),(93,1),(96,1),(97,1),(102,1)}
        88:{1,4,6,7}:{(75,1),(77,1),(79,1),(94,1)}
        89:{2,4,6,7}:{(76,1),(77,1),(80,1),(95,1)}
        90:{1,2,6,7}:{(78,1),(79,1),(80,1)}
        91:{3,5,6}:{(81,1),(82,1),(98,1),(99,1)}
        92:{3,4,6,7}:{(81,1),(83,1),(86,1),(99,1),(101,1),(104,1)}
        93:{1,2,5,7}:{(82,1),(83,1),(99,1)}
        94:{1,5,6,7}:{(84,1),(88,1)}
        95:{2,5,6,7}:{(84,1),(89,1)}
        96:{3,5,7}:{(85,1),(86,1),(87,1),(101,1)}
        97:{1,2,4,6,7}:{(87,1),(88,1),(89,1),(90,1),(100,1),(101,1),(104,1)}
        98:{4,5,6}:{(91,1),(102,1)}
        99:{3,5,7}:{(91,1),(92,1),(93,1),(102,1)}
       100:{1,2,5,6,7}:{(93,1),(94,1),(95,1),(97,1),(103,1)}
       101:{3,6,7}:{(96,1),(97,1)}
       102:{4,5,7}:{(98,1),(99,1),(104,1)}
       103:{3,5,6,7}:{(99,1),(100,1),(101,1),(104,1)}
       104:{4,6,7}:{(102,1),(103,1)}

2079 :  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:{3,4,5}:{(2,1),(7,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
        6:{1,2,3,7}:{(3,1),(9,1)}
        7:{3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
        8:{1,2,5,6}:{(5,1),(10,1),(12,1)}
        9:{1,2,4,7}:{(5,1),(6,1),(11,1),(12,1)}
       10:{3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
       11:{3,4,7}:{(7,1),(9,1),(14,1)}
       12:{1,2,5,7}:{(8,1),(9,1),(14,1),(15,1)}
       13:{4,5,6}:{(10,1),(16,1)}
       14:{3,5,7}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
       15:{1,2,6,7}:{(12,1),(17,1)}
       16:{4,5,7}:{(13,1),(14,1),(18,1)}
       17:{3,6,7}:{(14,1),(15,1),(18,1)}
       18:{4,6,7}:{(16,1),(17,1),(19,1)}
       19:{5,6,7}:{(18,1)}

2080 :  0:{1,2,3,4,6,7}:{(1,1),(7,1),(10,1),(29,1),(46,1),(47,1)}
        1:{1,2,3,5,7}:{(0,1),(3,1),(4,1),(16,1),(40,1)}
        2:{1,2,3,5,6,7}:{(3,1),(5,1),(16,1),(20,1),(21,1),(40,1),(41,1)}
        3:{1,2,3,5,6}:{(1,1),(7,1),(22,1),(45,1),(46,1)}
        4:{1,2,4,5,7}:{(1,1),(7,1),(8,1)}
        5:{1,2,4,6,7}:{(2,1),(7,1),(9,1),(10,1),(30,1),(31,1)}
        6:{1,2,4,5,6,7}:{(9,1),(11,1),(30,1),(31,1),(32,1)}
        7:{1,2,4,6}:{(3,1),(4,1),(13,1)}
        8:{3,4,5,7}:{(4,1),(13,1),(16,1)}
        9:{1,2,4,5,7}:{(5,1),(12,1),(16,1),(38,1),(39,1),(40,1)}
       10:{3,4,6,7}:{(5,1),(13,1),(16,1)}
       11:{3,5,6,7}:{(6,1),(16,1),(19,1)}
       12:{1,2,4,5,6}:{(7,1),(9,1),(22,1),(43,1),(44,1),(45,1)}
       13:{3,4,6}:{(7,1),(8,1),(22,1)}
       14:{1,3,4,5,7}:{(8,1),(23,1),(25,1),(27,1),(59,1),(62,1)}
       15:{2,3,4,5,7}:{(8,1),(24,1),(25,1),(28,1),(59,1),(62,1)}
       16:{3,5,7}:{(9,1),(10,1),(22,1)}
       17:{1,3,4,6,7}:{(10,1),(23,1),(27,1),(29,1),(30,1),(50,1),(59,1)}
       18:{2,3,4,6,7}:{(10,1),(24,1),(28,1),(29,1),(31,1),(50,1),(59,1)}
       19:{3,4,6,7}:{(11,1),(26,1),(30,1),(31,1),(50,1)}
       20:{1,3,5,6,7}:{(11,1),(27,1),(30,1),(32,1),(50,1)}
       21:{2,3,5,6,7}:{(11,1),(28,1),(31,1),(32,1),(50,1)}
       22:{3,5,6}:{(12,1),(13,1),(16,1)}
       23:{1,3,4,6}:{(13,1),(14,1),(34,1),(36,1),(60,1)}
       24:{2,3,4,6}:{(13,1),(15,1),(35,1),(36,1),(60,1)}
       25:{1,2,4,5,7}:{(14,1),(15,1),(36,1),(37,1),(40,1),(55,1),(61,1)}
       26:{3,4,5,7}:{(16,1),(19,1),(33,1),(38,1),(39,1),(54,1)}
       27:{1,3,5,7}:{(16,1),(17,1),(34,1),(38,1),(40,1),(54,1)}
       28:{2,3,5,7}:{(16,1),(18,1),(35,1),(39,1),(40,1),(54,1)}
       29:{1,2,4,6,7}:{(17,1),(18,1),(36,1),(40,1),(41,1),(55,1)}
       30:{1,4,6,7}:{(19,1),(20,1),(38,1)}
       31:{2,4,6,7}:{(19,1),(21,1),(39,1)}
       32:{1,2,5,6,7}:{(20,1),(21,1),(40,1),(42,1)}
       33:{3,4,5,6}:{(22,1),(26,1),(43,1),(44,1),(56,1)}
       34:{1,3,5,6}:{(22,1),(23,1),(27,1),(43,1),(45,1),(56,1)}
       35:{2,3,5,6}:{(22,1),(24,1),(28,1),(44,1),(45,1),(56,1)}
       36:{1,2,4,6}:{(23,1),(24,1),(25,1),(45,1),(46,1)}
       37:{1,2,3,5,7}:{(25,1),(46,1),(47,1),(58,1)}
       38:{1,4,5,7}:{(26,1),(27,1),(30,1),(43,1)}
       39:{2,4,5,7}:{(26,1),(28,1),(31,1),(44,1)}
       40:{1,2,5,7}:{(27,1),(28,1),(29,1),(45,1)}
       41:{1,2,3,6,7}:{(29,1),(46,1),(49,1),(50,1)}
       42:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(48,1),(50,1)}
       43:{1,4,5,6}:{(33,1),(34,1),(38,1)}
       44:{2,4,5,6}:{(33,1),(35,1),(39,1)}
       45:{1,2,5,6}:{(34,1),(35,1),(36,1),(40,1)}
       46:{1,2,3,6}:{(36,1),(37,1)}
       47:{1,2,3,4,7}:{(37,1),(53,1),(55,1)}
       48:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(42,1),(51,1),(54,1),(55,1)}
       49:{1,2,3,5,7}:{(40,1),(41,1),(52,1),(54,1),(55,1)}
       50:{3,6,7}:{(42,1),(54,1)}
       51:{1,2,4,5,6}:{(43,1),(44,1),(45,1),(48,1),(56,1),(57,1)}
       52:{1,2,3,5,6}:{(45,1),(46,1),(49,1),(56,1),(57,1),(58,1)}
       53:{1,2,3,4,6}:{(46,1),(47,1),(57,1),(58,1)}
       54:{3,5,7}:{(48,1),(50,1),(56,1),(59,1)}
       55:{1,2,4,7}:{(49,1),(57,1),(59,1)}
       56:{3,5,6}:{(51,1),(54,1),(60,1)}
       57:{1,2,4,6}:{(52,1),(55,1),(60,1),(61,1)}
       58:{1,2,3,5}:{(53,1),(61,1)}
       59:{3,4,7}:{(54,1),(55,1),(60,1)}
       60:{3,4,6}:{(56,1),(57,1),(59,1),(62,1)}
       61:{1,2,4,5}:{(57,1),(58,1),(62,1)}
       62:{3,4,5}:{(60,1),(61,1)}

2081 :   0:{1,3,4,5,6}:{(2,1),(3,1),(22,1),(84,1),(114,1)}
         1:{2,3,4,5,6}:{(4,1),(5,1),(17,1),(80,1),(116,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(35,1),(66,1),(97,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(24,1),(95,1),(98,1)}
         4:{2,3,4,5,7}:{(1,1),(9,1),(10,1),(29,1),(61,1),(100,1)}
         5:{1,2,4,5,6}:{(1,1),(10,1),(11,1),(24,1),(95,1),(101,1)}
         6:{1,3,4,6,7}:{(2,1),(14,1),(15,1),(78,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(15,1),(16,1),(39,1),(75,1),(79,1)}
         8:{2,3,5,6}:{(3,1),(16,1),(17,1)}
         9:{2,3,4,6,7}:{(4,1),(19,1),(20,1),(82,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(20,1),(21,1),(39,1),(75,1),(83,1)}
        11:{1,3,5,6}:{(5,1),(21,1),(22,1)}
        12:{1,2,3,5,6}:{(8,1),(11,1),(23,1),(24,1),(52,1),(90,1),(95,1)}
        13:{3,4,5,6,7}:{(25,1),(26,1),(59,1),(100,1)}
        14:{1,3,5,6,7}:{(6,1),(25,1),(27,1),(59,1),(66,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(27,1),(28,1),(60,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(28,1),(29,1)}
        17:{2,3,4,6}:{(8,1),(24,1),(29,1),(30,1)}
        18:{3,4,5,6,7}:{(31,1),(32,1),(64,1),(97,1)}
        19:{2,3,5,6,7}:{(9,1),(32,1),(33,1),(61,1),(64,1)}
        20:{1,2,4,6,7}:{(9,1),(10,1),(33,1),(34,1),(65,1)}
        21:{1,3,5,7}:{(10,1),(11,1),(34,1),(35,1)}
        22:{1,3,4,6}:{(11,1),(24,1),(35,1),(36,1)}
        23:{1,2,3,5,7}:{(12,1),(16,1),(21,1),(38,1),(39,1),(75,1)}
        24:{1,2,4,6}:{(12,1),(17,1),(22,1),(39,1),(40,1)}
        25:{1,4,5,6,7}:{(13,1),(14,1),(83,1)}
        26:{2,4,5,6,7}:{(13,1),(41,1),(115,1)}
        27:{1,2,5,6,7}:{(14,1),(15,1),(43,1),(75,1)}
        28:{2,3,6,7}:{(15,1),(16,1)}
        29:{2,3,4,7}:{(16,1),(17,1),(39,1)}
        30:{2,3,4,5}:{(17,1),(40,1)}
        31:{1,4,5,6,7}:{(18,1),(46,1),(113,1)}
        32:{2,4,5,6,7}:{(18,1),(19,1),(79,1)}
        33:{1,2,5,6,7}:{(19,1),(20,1),(48,1),(75,1)}
        34:{1,3,6,7}:{(20,1),(21,1)}
        35:{1,3,4,7}:{(21,1),(22,1),(39,1)}
        36:{1,3,4,5}:{(22,1),(40,1)}
        37:{1,2,3,4,6}:{(24,1),(51,1),(52,1),(90,1)}
        38:{1,2,3,6,7}:{(23,1),(28,1),(34,1),(56,1),(90,1)}
        39:{1,2,4,7}:{(23,1),(24,1),(29,1),(35,1)}
        40:{1,2,4,5}:{(24,1),(30,1),(36,1),(52,1)}
        41:{2,3,5,6,7}:{(26,1),(54,1),(58,1),(59,1),(125,1)}
        42:{1,2,4,5,6,7}:{(25,1),(26,1),(27,1),(58,1),(59,1),(60,1),(94,1),(96,1)}
        43:{2,3,5,6,7}:{(27,1),(28,1),(59,1),(60,1),(61,1)}
        44:{2,3,4,6,7}:{(28,1),(29,1),(56,1),(60,1),(61,1),(62,1),(93,1)}
        45:{2,3,4,5,7}:{(29,1),(30,1),(57,1),(61,1),(62,1),(122,1)}
        46:{1,3,5,6,7}:{(31,1),(53,1),(63,1),(64,1),(126,1)}
        47:{1,2,4,5,6,7}:{(31,1),(32,1),(33,1),(63,1),(64,1),(65,1),(94,1),(99,1)}
        48:{1,3,5,6,7}:{(33,1),(34,1),(64,1),(65,1),(66,1)}
        49:{1,3,4,6,7}:{(34,1),(35,1),(56,1),(65,1),(66,1),(67,1),(93,1)}
        50:{1,3,4,5,7}:{(35,1),(36,1),(57,1),(66,1),(67,1),(122,1)}
        51:{1,2,3,4,7}:{(37,1),(39,1),(71,1)}
        52:{1,2,3,5}:{(37,1),(40,1)}
        53:{1,3,4,6,7}:{(46,1),(68,1),(72,1),(82,1)}
        54:{2,3,4,6,7}:{(41,1),(69,1),(73,1),(78,1)}
        55:{1,2,3,5,6,7}:{(38,1),(43,1),(48,1),(74,1),(75,1),(77,1),(81,1),(107,1),(108,1),(111,1),(137,1)}
        56:{1,2,4,6,7}:{(38,1),(39,1),(44,1),(49,1),(75,1),(76,1)}
        57:{1,2,4,5,7}:{(39,1),(40,1),(45,1),(50,1),(71,1),(75,1),(76,1)}
        58:{1,2,5,6,7}:{(41,1),(73,1),(77,1),(137,1)}
        59:{3,5,6,7}:{(42,1),(78,1),(111,1)}
        60:{2,4,6,7}:{(43,1),(78,1),(79,1)}
        61:{2,3,5,7}:{(44,1),(75,1),(79,1),(80,1),(111,1)}
        62:{2,3,4,6}:{(45,1),(76,1),(80,1),(136,1)}
        63:{1,2,5,6,7}:{(46,1),(72,1),(81,1),(137,1)}
        64:{3,5,6,7}:{(47,1),(82,1),(111,1)}
        65:{1,4,6,7}:{(48,1),(82,1),(83,1)}
        66:{1,3,5,7}:{(49,1),(75,1),(83,1),(84,1),(111,1)}
        67:{1,3,4,6}:{(50,1),(76,1),(84,1),(136,1)}
        68:{1,3,4,5,7}:{(53,1),(85,1),(87,1),(100,1),(121,1),(126,1)}
        69:{2,3,4,5,7}:{(54,1),(86,1),(88,1),(97,1),(120,1),(125,1)}
        70:{1,2,3,4,6,7}:{(51,1),(56,1),(89,1),(90,1),(93,1),(123,1),(124,1),(143,1),(153,1)}
        71:{1,2,3,5,7}:{(51,1),(52,1),(57,1),(90,1)}
        72:{1,2,4,6,7}:{(53,1),(63,1),(87,1),(91,1),(99,1)}
        73:{1,2,4,6,7}:{(54,1),(58,1),(88,1),(92,1),(96,1)}
        74:{1,2,4,6,7}:{(55,1),(60,1),(65,1),(93,1),(94,1),(96,1),(99,1),(123,1)}
        75:{1,2,5,7}:{(56,1),(61,1),(66,1),(95,1)}
        76:{1,2,4,6}:{(57,1),(62,1),(67,1),(90,1),(95,1)}
        77:{1,3,5,6,7}:{(58,1),(59,1),(92,1),(96,1),(126,1)}
        78:{3,4,6,7}:{(59,1),(60,1),(96,1),(97,1)}
        79:{2,4,5,7}:{(60,1),(61,1),(97,1),(98,1)}
        80:{2,3,5,6}:{(61,1),(62,1),(95,1),(98,1),(127,1)}
        81:{2,3,5,6,7}:{(63,1),(64,1),(91,1),(99,1),(125,1)}
        82:{3,4,6,7}:{(64,1),(65,1),(99,1),(100,1)}
        83:{1,4,5,7}:{(65,1),(66,1),(100,1),(101,1)}
        84:{1,3,5,6}:{(66,1),(67,1),(95,1),(101,1),(127,1)}
        85:{1,3,4,5,6}:{(68,1),(102,1),(116,1),(132,1),(139,1)}
        86:{2,3,4,5,6}:{(69,1),(103,1),(114,1),(131,1),(138,1)}
        87:{1,2,4,5,7}:{(68,1),(72,1),(102,1),(104,1),(115,1),(133,1),(137,1)}
        88:{1,2,4,5,7}:{(69,1),(73,1),(103,1),(105,1),(113,1),(133,1),(137,1)}
        89:{1,2,3,5,7}:{(70,1),(75,1),(106,1),(107,1),(111,1),(137,1)}
        90:{1,2,3,6}:{(71,1),(76,1)}
        91:{2,3,6,7}:{(72,1),(104,1)}
        92:{1,3,6,7}:{(73,1),(105,1)}
        93:{3,4,6,7}:{(74,1),(111,1),(136,1)}
        94:{1,2,4,5,7}:{(74,1),(75,1),(79,1),(83,1),(111,1),(112,1),(113,1),(115,1),(137,1)}
        95:{1,2,5,6}:{(75,1),(76,1),(80,1),(84,1)}
        96:{1,4,6,7}:{(77,1),(78,1),(113,1)}
        97:{3,4,5,7}:{(78,1),(79,1),(111,1),(113,1),(114,1)}
        98:{2,4,5,6}:{(79,1),(80,1),(114,1)}
        99:{2,4,6,7}:{(81,1),(82,1),(115,1)}
       100:{3,4,5,7}:{(82,1),(83,1),(111,1),(115,1),(116,1)}
       101:{1,4,5,6}:{(83,1),(84,1),(116,1)}
       102:{1,2,4,5,6}:{(85,1),(87,1),(117,1),(129,1),(140,1),(147,1)}
       103:{1,2,4,5,6}:{(86,1),(88,1),(118,1),(128,1),(140,1),(147,1)}
       104:{2,3,5,7}:{(87,1),(91,1),(117,1),(120,1)}
       105:{1,3,5,7}:{(88,1),(92,1),(118,1),(121,1)}
       106:{1,2,4,5,7}:{(89,1),(122,1),(123,1)}
       107:{1,2,3,5,6}:{(89,1),(90,1),(95,1),(123,1),(127,1),(147,1),(153,1)}
       108:{1,2,3,6,7}:{(91,1),(92,1),(119,1),(124,1),(153,1)}
       109:{2,3,4,6,7}:{(91,1),(93,1),(99,1),(120,1),(124,1),(125,1),(145,1)}
       110:{1,3,4,6,7}:{(92,1),(93,1),(96,1),(121,1),(124,1),(126,1),(146,1)}
       111:{3,5,7}:{(93,1),(94,1),(127,1)}
       112:{1,2,4,5,6}:{(94,1),(95,1),(98,1),(101,1),(123,1),(127,1),(128,1),(129,1),(147,1)}
       113:{1,4,5,7}:{(96,1),(97,1),(126,1),(128,1)}
       114:{3,4,5,6}:{(97,1),(98,1),(127,1),(128,1)}
       115:{2,4,5,7}:{(99,1),(100,1),(125,1),(129,1)}
       116:{3,4,5,6}:{(100,1),(101,1),(127,1),(129,1)}
       117:{2,3,5,6}:{(102,1),(104,1),(131,1)}
       118:{1,3,5,6}:{(103,1),(105,1),(132,1)}
       119:{1,2,3,5,7}:{(104,1),(105,1),(108,1),(130,1),(133,1),(137,1)}
       120:{2,3,4,7}:{(104,1),(131,1),(133,1)}
       121:{1,3,4,7}:{(105,1),(132,1),(133,1)}
       122:{3,4,5,7}:{(106,1),(111,1),(136,1)}
       123:{1,2,4,6}:{(106,1),(107,1),(136,1)}
       124:{1,2,4,6,7}:{(108,1),(109,1),(110,1),(133,1),(137,1),(151,1)}
       125:{2,3,5,7}:{(109,1),(111,1),(115,1),(137,1),(138,1)}
       126:{1,3,5,7}:{(110,1),(111,1),(113,1),(137,1),(139,1)}
       127:{3,5,6}:{(111,1),(112,1),(136,1)}
       128:{1,4,5,6}:{(113,1),(114,1),(139,1)}
       129:{2,4,5,6}:{(115,1),(116,1),(138,1)}
       130:{1,2,3,5,6}:{(117,1),(118,1),(119,1),(140,1),(147,1),(152,1),(153,1)}
       131:{2,3,4,6}:{(117,1),(120,1),(140,1),(141,1)}
       132:{1,3,4,6}:{(118,1),(121,1),(140,1),(142,1)}
       133:{1,2,4,7}:{(119,1),(120,1),(121,1),(140,1)}
       134:{2,3,4,5,7}:{(120,1),(122,1),(125,1),(141,1),(144,1),(145,1)}
       135:{1,3,4,5,7}:{(121,1),(122,1),(126,1),(142,1),(144,1),(146,1)}
       136:{3,4,6}:{(122,1),(123,1),(127,1)}
       137:{1,2,5,7}:{(124,1),(125,1),(126,1),(147,1)}
       138:{2,3,5,6}:{(125,1),(127,1),(129,1),(145,1),(147,1)}
       139:{1,3,5,6}:{(126,1),(127,1),(128,1),(146,1),(147,1)}
       140:{1,2,4,6}:{(130,1),(131,1),(132,1),(133,1),(149,1)}
       141:{2,3,4,5}:{(131,1),(149,1)}
       142:{1,3,4,5}:{(132,1),(149,1)}
       143:{1,2,3,4,7}:{(133,1),(148,1),(150,1)}
       144:{1,2,4,5,7}:{(133,1),(134,1),(135,1),(137,1),(149,1),(150,1),(151,1)}
       145:{2,3,4,6}:{(134,1),(136,1),(138,1),(151,1)}
       146:{1,3,4,6}:{(135,1),(136,1),(139,1),(151,1)}
       147:{1,2,5,6}:{(137,1),(138,1),(139,1),(151,1)}
       148:{1,2,3,4,6}:{(140,1),(143,1),(152,1),(153,1)}
       149:{1,2,4,5}:{(140,1),(141,1),(142,1),(152,1)}
       150:{1,2,3,5,7}:{(143,1),(144,1),(152,1),(153,1)}
       151:{1,2,4,6}:{(144,1),(145,1),(146,1),(147,1),(153,1)}
       152:{1,2,3,5}:{(148,1),(149,1)}
       153:{1,2,3,6}:{(150,1),(151,1)}

2082 :  0:{1,2,3,4,5,7}:{(1,1),(4,1),(33,1),(34,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,6,7}:{(1,1),(4,1),(9,1),(32,1),(33,1)}
        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),(18,1),(31,1),(32,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{3,4,5,6}:{(5,1),(10,1)}
        9:{1,2,4,6,7}:{(6,1),(7,1),(14,1)}
       10:{3,4,5,7}:{(7,1),(8,1),(14,1)}
       11:{1,3,4,5,6}:{(8,1),(15,1),(17,1),(48,1)}
       12:{2,3,4,5,6}:{(8,1),(16,1),(17,1),(48,1)}
       13:{1,2,4,5,6,7}:{(9,1),(18,1),(29,1),(30,1),(31,1)}
       14:{3,4,6,7}:{(9,1),(10,1),(18,1)}
       15:{1,3,4,5,7}:{(10,1),(11,1),(19,1),(21,1),(46,1)}
       16:{2,3,4,5,7}:{(10,1),(12,1),(20,1),(21,1),(46,1)}
       17:{1,2,4,5,6}:{(11,1),(12,1),(21,1),(22,1)}
       18:{3,5,6,7}:{(13,1),(14,1)}
       19:{1,3,4,6,7}:{(14,1),(15,1),(24,1),(26,1),(43,1)}
       20:{2,3,4,6,7}:{(14,1),(16,1),(25,1),(26,1),(43,1)}
       21:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(26,1),(27,1)}
       22:{1,2,3,5,6}:{(17,1),(27,1),(28,1)}
       23:{3,4,5,6,7}:{(18,1),(29,1),(30,1),(39,1)}
       24:{1,3,5,6,7}:{(18,1),(19,1),(29,1),(31,1),(39,1)}
       25:{2,3,5,6,7}:{(18,1),(20,1),(30,1),(31,1),(39,1)}
       26:{1,2,4,6,7}:{(19,1),(20,1),(21,1),(31,1),(32,1)}
       27:{1,2,3,5,7}:{(21,1),(22,1),(32,1),(33,1)}
       28:{1,2,3,4,6}:{(22,1),(33,1),(34,1)}
       29:{1,4,5,6,7}:{(23,1),(24,1)}
       30:{2,4,5,6,7}:{(23,1),(25,1)}
       31:{1,2,5,6,7}:{(24,1),(25,1),(26,1)}
       32:{1,2,3,6,7}:{(26,1),(27,1)}
       33:{1,2,3,4,7}:{(27,1),(28,1)}
       34:{1,2,3,4,5}:{(28,1)}
       35:{1,2,4,5,6,7}:{(29,1),(30,1),(31,1),(39,1),(40,1)}
       36:{1,2,3,5,6,7}:{(31,1),(32,1),(39,1),(40,1),(41,1)}
       37:{1,2,3,4,6,7}:{(32,1),(33,1),(40,1),(41,1),(42,1)}
       38:{1,2,3,4,5,7}:{(33,1),(34,1),(41,1),(42,1)}
       39:{3,5,6,7}:{(35,1),(43,1)}
       40:{1,2,4,6,7}:{(36,1),(43,1),(44,1)}
       41:{1,2,3,5,7}:{(37,1),(44,1),(45,1)}
       42:{1,2,3,4,6}:{(38,1),(45,1)}
       43:{3,4,6,7}:{(39,1),(40,1),(46,1)}
       44:{1,2,4,5,7}:{(40,1),(41,1),(46,1),(47,1)}
       45:{1,2,3,5,6}:{(41,1),(42,1),(47,1)}
       46:{3,4,5,7}:{(43,1),(44,1),(48,1)}
       47:{1,2,4,5,6}:{(44,1),(45,1),(48,1)}
       48:{3,4,5,6}:{(46,1),(47,1)}

2083 :  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:{3,4,5,6}:{(4,1),(9,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,2,3,6,7}:{(5,1),(10,1)}
        9:{3,4,5,7}:{(6,1),(7,1),(11,1)}
       10:{1,2,4,6,7}:{(7,1),(8,1),(11,1),(12,1)}
       11:{3,4,6,7}:{(9,1),(10,1),(13,1)}
       12:{1,2,5,6,7}:{(10,1),(13,1)}
       13:{3,5,6,7}:{(11,1),(12,1),(14,1)}
       14:{4,5,6,7}:{(13,1)}

2084 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1),(37,1),(38,1),(39,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(21,1),(46,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(14,1),(36,1),(38,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(8,1),(21,1),(29,1),(30,1),(46,1),(48,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(21,1)}
        7:{1,2,4,5,6}:{(5,1),(13,1),(14,1),(32,1),(33,1),(36,1)}
        8:{1,2,4,6,7}:{(4,1),(5,1),(13,1),(15,1),(40,1),(41,1)}
        9:{3,4,6}:{(5,1),(6,1),(14,1)}
       10:{1,3,4,5,7}:{(6,1),(16,1),(18,1),(34,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(17,1),(18,1),(35,1),(61,1),(62,1)}
       12:{1,2,4,5,6,7}:{(13,1),(19,1),(40,1),(41,1),(42,1)}
       13:{1,2,4,5,7}:{(7,1),(8,1),(21,1),(43,1),(44,1),(46,1)}
       14:{3,5,6}:{(7,1),(9,1),(21,1)}
       15:{3,4,6,7}:{(8,1),(9,1),(21,1)}
       16:{1,3,4,6}:{(9,1),(10,1),(22,1),(26,1),(58,1)}
       17:{2,3,4,6}:{(9,1),(11,1),(23,1),(26,1),(58,1)}
       18:{1,2,4,5,7}:{(10,1),(11,1),(26,1),(27,1),(46,1),(59,1),(60,1)}
       19:{3,5,6,7}:{(12,1),(21,1),(28,1)}
       20:{3,4,5,6}:{(14,1),(31,1),(32,1),(33,1),(52,1)}
       21:{3,5,7}:{(13,1),(14,1),(15,1)}
       22:{1,3,5,6}:{(14,1),(16,1),(32,1),(34,1),(36,1),(52,1)}
       23:{2,3,5,6}:{(14,1),(17,1),(33,1),(35,1),(36,1),(52,1)}
       24:{1,3,4,6,7}:{(15,1),(16,1),(34,1),(37,1),(40,1),(56,1),(61,1)}
       25:{2,3,4,6,7}:{(15,1),(17,1),(35,1),(37,1),(41,1),(56,1),(61,1)}
       26:{1,2,4,6}:{(16,1),(17,1),(18,1),(36,1),(38,1)}
       27:{1,2,3,5,7}:{(18,1),(38,1),(39,1),(55,1)}
       28:{3,4,6,7}:{(19,1),(31,1),(40,1),(41,1),(56,1)}
       29:{1,3,5,6,7}:{(19,1),(34,1),(40,1),(42,1),(56,1)}
       30:{2,3,5,6,7}:{(19,1),(35,1),(41,1),(42,1),(56,1)}
       31:{3,4,5,7}:{(20,1),(21,1),(28,1),(43,1),(44,1),(57,1)}
       32:{1,4,5,6}:{(20,1),(22,1),(43,1)}
       33:{2,4,5,6}:{(20,1),(23,1),(44,1)}
       34:{1,3,5,7}:{(21,1),(22,1),(24,1),(43,1),(46,1),(57,1)}
       35:{2,3,5,7}:{(21,1),(23,1),(25,1),(44,1),(46,1),(57,1)}
       36:{1,2,5,6}:{(22,1),(23,1),(26,1),(46,1)}
       37:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(46,1),(48,1),(59,1)}
       38:{1,2,3,6}:{(26,1),(27,1)}
       39:{1,2,3,4,7}:{(27,1),(49,1),(59,1)}
       40:{1,4,6,7}:{(28,1),(29,1),(43,1)}
       41:{2,4,6,7}:{(28,1),(30,1),(44,1)}
       42:{1,2,5,6,7}:{(29,1),(30,1),(46,1),(50,1)}
       43:{1,4,5,7}:{(31,1),(32,1),(34,1),(40,1)}
       44:{2,4,5,7}:{(31,1),(33,1),(35,1),(41,1)}
       45:{1,2,4,5,6}:{(32,1),(33,1),(36,1),(51,1),(52,1),(54,1)}
       46:{1,2,5,7}:{(34,1),(35,1),(36,1),(37,1)}
       47:{1,2,3,5,6}:{(36,1),(38,1),(52,1),(53,1),(54,1),(55,1)}
       48:{1,2,3,6,7}:{(37,1),(38,1),(53,1),(56,1)}
       49:{1,2,3,4,6}:{(38,1),(39,1),(54,1),(55,1)}
       50:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(51,1),(56,1)}
       51:{1,2,4,5,7}:{(43,1),(44,1),(45,1),(46,1),(50,1),(57,1),(59,1)}
       52:{3,5,6}:{(45,1),(57,1),(58,1)}
       53:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(57,1),(59,1)}
       54:{1,2,4,6}:{(47,1),(58,1),(59,1),(60,1)}
       55:{1,2,3,5}:{(49,1),(60,1)}
       56:{3,6,7}:{(50,1),(57,1)}
       57:{3,5,7}:{(51,1),(52,1),(56,1),(61,1)}
       58:{3,4,6}:{(52,1),(54,1),(61,1),(62,1)}
       59:{1,2,4,7}:{(53,1),(54,1),(61,1)}
       60:{1,2,4,5}:{(54,1),(55,1),(62,1)}
       61:{3,4,7}:{(57,1),(58,1),(59,1)}
       62:{3,4,5}:{(58,1),(60,1)}

2085 :   0:{1,2,3,5,6,7}:{(3,1),(19,1),(25,1),(33,1),(66,1),(67,1),(68,1),(69,1),(76,1),(78,1),(86,1),(88,1),(122,1),(126,1),(132,1)}
         1:{1,2,4,5,6,7}:{(4,1),(18,1),(23,1),(24,1),(25,1),(75,1)}
         2:{1,2,4,5,6,7}:{(5,1),(18,1),(31,1),(32,1),(33,1),(85,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(93,1),(94,1),(106,1),(114,1),(143,1),(146,1),(150,1)}
         4:{3,5,6,7}:{(1,1),(8,1),(39,1),(104,1)}
         5:{3,5,6,7}:{(2,1),(13,1),(39,1),(112,1)}
         6:{1,2,4,5,7}:{(3,1),(18,1),(19,1),(64,1),(65,1),(68,1),(159,1)}
         7:{3,4,6,7}:{(3,1),(19,1),(63,1),(76,1),(86,1),(128,1),(134,1),(158,1)}
         8:{3,4,6,7}:{(4,1),(22,1),(23,1),(24,1),(63,1),(76,1),(128,1)}
         9:{1,3,5,6,7}:{(4,1),(23,1),(25,1),(66,1),(71,1),(76,1),(78,1)}
        10:{2,3,5,6,7}:{(4,1),(24,1),(25,1),(26,1),(67,1),(76,1),(126,1)}
        11:{2,3,4,6,7}:{(24,1),(26,1),(27,1),(28,1),(76,1),(128,1)}
        12:{2,3,4,5,7}:{(26,1),(28,1),(29,1),(65,1),(90,1),(121,1),(128,1),(136,1),(161,1)}
        13:{3,4,6,7}:{(5,1),(30,1),(31,1),(32,1),(63,1),(86,1),(134,1)}
        14:{1,3,5,6,7}:{(5,1),(31,1),(33,1),(34,1),(66,1),(86,1),(132,1)}
        15:{2,3,5,6,7}:{(5,1),(32,1),(33,1),(67,1),(81,1),(86,1),(88,1)}
        16:{1,3,4,6,7}:{(31,1),(34,1),(35,1),(36,1),(86,1),(134,1)}
        17:{1,3,4,5,7}:{(34,1),(36,1),(37,1),(64,1),(80,1),(121,1),(130,1),(134,1),(163,1)}
        18:{1,2,4,5,6}:{(6,1),(39,1),(93,1),(94,1),(96,1)}
        19:{3,5,7}:{(6,1),(7,1),(39,1),(168,1)}
        20:{1,3,4,6,7}:{(7,1),(40,1),(42,1),(50,1),(93,1),(106,1),(107,1),(110,1),(141,1),(142,1),(150,1),(166,1)}
        21:{2,3,4,6,7}:{(7,1),(41,1),(42,1),(60,1),(94,1),(102,1),(114,1),(115,1),(141,1),(142,1),(146,1),(167,1)}
        22:{3,4,5,7}:{(8,1),(44,1),(45,1),(46,1),(104,1)}
        23:{1,4,6,7}:{(8,1),(9,1),(45,1),(93,1),(106,1)}
        24:{2,4,6,7}:{(8,1),(10,1),(46,1),(94,1),(146,1)}
        25:{1,2,5,6,7}:{(9,1),(10,1),(47,1),(49,1),(96,1),(101,1)}
        26:{2,3,5,7}:{(11,1),(46,1),(48,1),(49,1),(104,1)}
        27:{1,2,4,6,7}:{(11,1),(49,1),(50,1),(51,1),(106,1)}
        28:{2,3,4,6}:{(12,1),(48,1),(51,1),(94,1),(141,1),(147,1)}
        29:{1,2,4,5,7}:{(12,1),(49,1),(51,1),(52,1),(99,1),(106,1),(144,1),(148,1)}
        30:{3,4,5,7}:{(13,1),(54,1),(55,1),(56,1),(112,1)}
        31:{1,4,6,7}:{(13,1),(14,1),(55,1),(93,1),(150,1)}
        32:{2,4,6,7}:{(13,1),(15,1),(56,1),(94,1),(114,1)}
        33:{1,2,5,6,7}:{(14,1),(15,1),(57,1),(59,1),(96,1),(109,1)}
        34:{1,3,5,7}:{(16,1),(55,1),(58,1),(59,1),(112,1)}
        35:{1,2,4,6,7}:{(16,1),(59,1),(60,1),(61,1),(114,1)}
        36:{1,3,4,6}:{(17,1),(58,1),(61,1),(93,1),(141,1),(151,1)}
        37:{1,2,4,5,7}:{(17,1),(59,1),(61,1),(62,1),(99,1),(114,1),(144,1),(152,1)}
        38:{3,4,5,7}:{(19,1),(63,1),(64,1),(65,1),(121,1),(128,1),(134,1),(161,1),(163,1)}
        39:{3,5,6}:{(18,1),(19,1),(63,1)}
        40:{1,3,5,7}:{(19,1),(20,1),(64,1),(66,1),(68,1),(121,1),(130,1),(172,1)}
        41:{2,3,5,7}:{(19,1),(21,1),(65,1),(67,1),(68,1),(121,1),(136,1),(173,1)}
        42:{1,2,4,6,7}:{(20,1),(21,1),(68,1),(69,1),(120,1),(123,1),(124,1),(171,1)}
        43:{1,3,4,6,7}:{(23,1),(71,1),(72,1),(76,1),(118,1),(128,1)}
        44:{3,4,5,6}:{(22,1),(63,1),(73,1),(74,1),(127,1),(163,1)}
        45:{1,4,5,7}:{(22,1),(23,1),(71,1),(73,1)}
        46:{2,4,5,7}:{(22,1),(24,1),(26,1),(74,1)}
        47:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(75,1),(76,1),(120,1)}
        48:{2,3,5,6}:{(26,1),(28,1),(74,1),(77,1),(127,1),(136,1)}
        49:{1,2,5,7}:{(26,1),(27,1),(77,1),(78,1)}
        50:{1,3,6,7}:{(27,1),(76,1),(78,1),(79,1)}
        51:{1,2,4,6}:{(28,1),(29,1),(77,1),(79,1),(129,1)}
        52:{1,3,5,7}:{(29,1),(79,1),(80,1),(121,1),(130,1)}
        53:{2,3,4,6,7}:{(32,1),(81,1),(82,1),(86,1),(116,1),(134,1)}
        54:{3,4,5,6}:{(30,1),(63,1),(83,1),(84,1),(133,1),(161,1)}
        55:{1,4,5,7}:{(30,1),(31,1),(34,1),(83,1)}
        56:{2,4,5,7}:{(30,1),(32,1),(81,1),(84,1)}
        57:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(85,1),(86,1),(120,1)}
        58:{1,3,5,6}:{(34,1),(36,1),(83,1),(87,1),(130,1),(133,1)}
        59:{1,2,5,7}:{(34,1),(35,1),(87,1),(88,1)}
        60:{2,3,6,7}:{(35,1),(86,1),(88,1),(89,1)}
        61:{1,2,4,6}:{(36,1),(37,1),(87,1),(89,1),(135,1)}
        62:{2,3,5,7}:{(37,1),(89,1),(90,1),(121,1),(136,1)}
        63:{3,4,6}:{(38,1),(39,1),(93,1),(94,1),(141,1)}
        64:{1,4,5,7}:{(38,1),(40,1),(93,1),(106,1),(148,1),(150,1),(170,1)}
        65:{2,4,5,7}:{(38,1),(41,1),(94,1),(114,1),(146,1),(152,1),(169,1)}
        66:{1,3,5,6}:{(39,1),(40,1),(93,1),(96,1),(141,1)}
        67:{2,3,5,6}:{(39,1),(41,1),(94,1),(96,1),(141,1)}
        68:{1,2,5,7}:{(40,1),(41,1),(42,1),(96,1),(144,1),(174,1)}
        69:{1,2,3,6,7}:{(42,1),(50,1),(60,1),(97,1),(98,1),(102,1),(110,1),(141,1),(164,1)}
        70:{1,2,3,5,7}:{(52,1),(62,1),(98,1),(99,1),(144,1)}
        71:{1,3,5,7}:{(43,1),(45,1),(100,1),(101,1),(104,1)}
        72:{1,2,4,6,7}:{(43,1),(101,1),(102,1),(139,1),(146,1)}
        73:{1,4,5,6}:{(44,1),(45,1),(93,1),(100,1),(170,1)}
        74:{2,4,5,6}:{(44,1),(46,1),(48,1),(94,1),(152,1)}
        75:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(49,1),(101,1),(103,1),(104,1),(106,1),(146,1)}
        76:{3,6,7}:{(47,1),(104,1),(141,1)}
        77:{1,2,5,6}:{(48,1),(49,1),(51,1),(105,1),(144,1)}
        78:{1,3,5,7}:{(49,1),(50,1),(104,1),(105,1),(106,1)}
        79:{1,3,6}:{(51,1),(52,1),(141,1)}
        80:{1,3,4,7}:{(52,1),(99,1),(106,1),(107,1),(142,1)}
        81:{2,3,5,7}:{(53,1),(56,1),(108,1),(109,1),(112,1)}
        82:{1,2,4,6,7}:{(53,1),(109,1),(110,1),(137,1),(150,1)}
        83:{1,4,5,6}:{(54,1),(55,1),(58,1),(93,1),(148,1)}
        84:{2,4,5,6}:{(54,1),(56,1),(94,1),(108,1),(169,1)}
        85:{1,2,4,5,7}:{(55,1),(56,1),(57,1),(59,1),(109,1),(111,1),(112,1),(114,1),(150,1)}
        86:{3,6,7}:{(57,1),(112,1),(141,1)}
        87:{1,2,5,6}:{(58,1),(59,1),(61,1),(113,1),(144,1)}
        88:{2,3,5,7}:{(59,1),(60,1),(112,1),(113,1),(114,1)}
        89:{2,3,6}:{(61,1),(62,1),(141,1)}
        90:{2,3,4,7}:{(62,1),(99,1),(114,1),(115,1),(142,1)}
        91:{2,3,4,5,7}:{(65,1),(81,1),(116,1),(117,1),(121,1),(134,1),(157,1),(163,1),(173,1)}
        92:{1,3,4,5,7}:{(64,1),(71,1),(118,1),(119,1),(121,1),(128,1),(155,1),(161,1),(172,1)}
        93:{1,4,6}:{(63,1),(64,1),(66,1)}
        94:{2,4,6}:{(63,1),(65,1),(67,1)}
        95:{1,2,4,5,7}:{(64,1),(65,1),(68,1),(120,1),(121,1),(123,1),(159,1)}
        96:{1,2,5,6}:{(66,1),(67,1),(68,1),(120,1)}
        97:{1,2,3,5,7}:{(68,1),(69,1),(78,1),(88,1),(121,1),(122,1),(123,1),(126,1),(132,1)}
        98:{1,2,3,6}:{(70,1),(79,1),(89,1),(124,1)}
        99:{1,2,4,7}:{(70,1),(80,1),(90,1),(124,1)}
       100:{1,3,5,6}:{(71,1),(73,1),(118,1),(125,1),(127,1),(172,1)}
       101:{1,2,5,7}:{(71,1),(72,1),(125,1),(126,1)}
       102:{2,3,6,7}:{(72,1),(76,1),(126,1),(156,1)}
       103:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(77,1),(120,1),(125,1),(127,1),(129,1),(159,1),(160,1)}
       104:{3,5,7}:{(75,1),(76,1),(127,1),(128,1)}
       105:{1,3,5,6}:{(77,1),(78,1),(79,1),(127,1),(129,1),(130,1)}
       106:{1,4,7}:{(78,1),(128,1),(129,1)}
       107:{1,3,4,6}:{(79,1),(80,1),(124,1),(129,1),(130,1),(158,1)}
       108:{2,3,5,6}:{(81,1),(84,1),(116,1),(131,1),(133,1),(173,1)}
       109:{1,2,5,7}:{(81,1),(82,1),(131,1),(132,1)}
       110:{1,3,6,7}:{(82,1),(86,1),(132,1),(154,1)}
       111:{1,2,4,5,6}:{(83,1),(84,1),(85,1),(87,1),(120,1),(131,1),(133,1),(135,1),(159,1),(162,1)}
       112:{3,5,7}:{(85,1),(86,1),(133,1),(134,1)}
       113:{2,3,5,6}:{(87,1),(88,1),(89,1),(133,1),(135,1),(136,1)}
       114:{2,4,7}:{(88,1),(134,1),(135,1)}
       115:{2,3,4,6}:{(89,1),(90,1),(124,1),(135,1),(136,1),(158,1)}
       116:{2,3,4,6}:{(91,1),(94,1),(108,1),(137,1),(141,1),(151,1)}
       117:{1,2,4,5,7}:{(91,1),(109,1),(137,1),(138,1),(150,1),(165,1),(170,1),(174,1)}
       118:{1,3,4,6}:{(92,1),(93,1),(100,1),(139,1),(141,1),(147,1)}
       119:{1,2,4,5,7}:{(92,1),(101,1),(139,1),(140,1),(146,1),(165,1),(169,1),(174,1)}
       120:{1,2,4,6}:{(93,1),(94,1),(95,1),(96,1),(141,1)}
       121:{3,5,7}:{(95,1),(141,1),(142,1),(168,1)}
       122:{1,2,3,5,6}:{(96,1),(97,1),(98,1),(105,1),(113,1),(141,1),(143,1),(144,1),(145,1),(149,1),(164,1),(168,1),(174,1)}
       123:{1,2,4,7}:{(97,1),(106,1),(114,1),(142,1),(143,1),(146,1),(150,1)}
       124:{1,2,4,6}:{(98,1),(99,1),(107,1),(115,1),(144,1)}
       125:{1,2,5,6}:{(100,1),(101,1),(139,1),(145,1),(174,1)}
       126:{2,3,5,7}:{(101,1),(102,1),(104,1),(145,1),(146,1)}
       127:{3,5,6}:{(103,1),(104,1),(141,1),(147,1),(168,1)}
       128:{3,4,7}:{(104,1),(106,1),(146,1),(147,1)}
       129:{1,4,6}:{(105,1),(106,1),(147,1),(148,1)}
       130:{1,3,5}:{(107,1),(144,1),(148,1),(168,1)}
       131:{1,2,5,6}:{(108,1),(109,1),(137,1),(149,1),(174,1)}
       132:{1,3,5,7}:{(109,1),(110,1),(112,1),(149,1),(150,1)}
       133:{3,5,6}:{(111,1),(112,1),(141,1),(151,1),(168,1)}
       134:{3,4,7}:{(112,1),(114,1),(150,1),(151,1)}
       135:{2,4,6}:{(113,1),(114,1),(151,1),(152,1)}
       136:{2,3,5}:{(115,1),(144,1),(152,1),(168,1)}
       137:{1,2,4,6}:{(116,1),(117,1),(131,1),(154,1),(162,1)}
       138:{1,3,5,7}:{(117,1),(121,1),(154,1),(155,1),(172,1)}
       139:{1,2,4,6}:{(118,1),(119,1),(125,1),(156,1),(160,1)}
       140:{2,3,5,7}:{(119,1),(121,1),(156,1),(157,1),(173,1)}
       141:{3,6}:{(120,1),(121,1)}
       142:{3,4,7}:{(121,1),(123,1),(158,1)}
       143:{1,2,4,6}:{(122,1),(123,1),(129,1),(135,1),(158,1),(159,1),(160,1),(162,1)}
       144:{1,2,5}:{(124,1),(130,1),(136,1)}
       145:{2,3,5,6}:{(125,1),(126,1),(127,1),(156,1),(160,1),(173,1)}
       146:{2,4,7}:{(126,1),(128,1),(160,1)}
       147:{3,4,6}:{(127,1),(128,1),(129,1),(160,1),(161,1)}
       148:{1,4,5}:{(129,1),(130,1),(161,1)}
       149:{1,3,5,6}:{(131,1),(132,1),(133,1),(154,1),(162,1),(172,1)}
       150:{1,4,7}:{(132,1),(134,1),(162,1)}
       151:{3,4,6}:{(133,1),(134,1),(135,1),(162,1),(163,1)}
       152:{2,4,5}:{(135,1),(136,1),(163,1)}
       153:{1,2,3,5,7}:{(138,1),(140,1),(164,1),(165,1),(174,1)}
       154:{1,3,6}:{(137,1),(138,1),(141,1)}
       155:{1,3,4,7}:{(138,1),(142,1),(150,1),(165,1),(166,1)}
       156:{2,3,6}:{(139,1),(140,1),(141,1)}
       157:{2,3,4,7}:{(140,1),(142,1),(146,1),(165,1),(167,1)}
       158:{3,4,6}:{(141,1),(142,1),(143,1),(168,1)}
       159:{1,2,4,5}:{(143,1),(144,1),(148,1),(152,1),(168,1),(169,1),(170,1),(174,1)}
       160:{2,4,6}:{(145,1),(146,1),(147,1),(169,1)}
       161:{3,4,5}:{(147,1),(148,1),(168,1),(169,1)}
       162:{1,4,6}:{(149,1),(150,1),(151,1),(170,1)}
       163:{3,4,5}:{(151,1),(152,1),(168,1),(170,1)}
       164:{1,2,3,6}:{(153,1),(154,1),(156,1),(171,1)}
       165:{1,2,4,7}:{(153,1),(155,1),(157,1),(171,1)}
       166:{1,3,4,6}:{(154,1),(155,1),(158,1),(162,1),(171,1),(172,1)}
       167:{2,3,4,6}:{(156,1),(157,1),(158,1),(160,1),(171,1),(173,1)}
       168:{3,5}:{(158,1),(159,1)}
       169:{2,4,5}:{(160,1),(161,1),(173,1)}
       170:{1,4,5}:{(162,1),(163,1),(172,1)}
       171:{1,2,4,6}:{(164,1),(165,1),(166,1),(167,1),(174,1)}
       172:{1,3,5}:{(166,1),(168,1),(170,1),(174,1)}
       173:{2,3,5}:{(167,1),(168,1),(169,1),(174,1)}
       174:{1,2,5}:{(171,1),(172,1),(173,1)}

2086 :   0:{2,3,4,5,6}:{(2,1),(3,1),(17,1),(72,1),(98,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(13,1),(67,1),(102,1)}
         2:{1,2,4,5,6}:{(0,1),(6,1),(7,1),(21,1),(79,1),(82,1)}
         3:{2,3,4,5,7}:{(0,1),(7,1),(8,1),(29,1),(58,1),(83,1)}
         4:{1,2,4,5,6}:{(1,1),(9,1),(10,1),(21,1),(79,1),(87,1)}
         5:{1,3,4,5,7}:{(1,1),(10,1),(11,1),(24,1),(53,1),(88,1)}
         6:{1,3,5,6}:{(2,1),(13,1),(14,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(14,1),(15,1),(35,1),(65,1),(68,1)}
         8:{2,3,4,6,7}:{(3,1),(15,1),(16,1),(69,1)}
         9:{2,3,5,6}:{(4,1),(17,1),(18,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(18,1),(19,1),(35,1),(65,1),(73,1)}
        11:{1,3,4,6,7}:{(5,1),(19,1),(20,1),(74,1)}
        12:{1,2,3,5,6}:{(6,1),(9,1),(21,1),(22,1),(47,1),(77,1),(79,1)}
        13:{1,3,4,6}:{(6,1),(21,1),(23,1),(24,1)}
        14:{1,3,5,7}:{(6,1),(7,1),(24,1),(25,1)}
        15:{1,2,4,6,7}:{(7,1),(8,1),(25,1),(26,1),(54,1)}
        16:{2,3,5,6,7}:{(8,1),(26,1),(27,1),(55,1),(58,1)}
        17:{2,3,4,6}:{(9,1),(21,1),(28,1),(29,1)}
        18:{2,3,5,7}:{(9,1),(10,1),(29,1),(30,1)}
        19:{1,2,4,6,7}:{(10,1),(11,1),(30,1),(31,1),(59,1)}
        20:{1,3,5,6,7}:{(11,1),(31,1),(32,1),(53,1),(60,1)}
        21:{1,2,4,6}:{(12,1),(13,1),(17,1),(34,1),(35,1)}
        22:{1,2,3,5,7}:{(12,1),(14,1),(18,1),(35,1),(36,1),(65,1)}
        23:{1,3,4,5}:{(13,1),(34,1)}
        24:{1,3,4,7}:{(13,1),(14,1),(35,1)}
        25:{1,3,6,7}:{(14,1),(15,1)}
        26:{1,2,5,6,7}:{(15,1),(16,1),(39,1),(65,1)}
        27:{2,4,5,6,7}:{(16,1),(41,1),(73,1)}
        28:{2,3,4,5}:{(17,1),(34,1)}
        29:{2,3,4,7}:{(17,1),(18,1),(35,1)}
        30:{2,3,6,7}:{(18,1),(19,1)}
        31:{1,2,5,6,7}:{(19,1),(20,1),(44,1),(65,1)}
        32:{1,4,5,6,7}:{(20,1),(46,1),(68,1)}
        33:{1,2,3,4,6}:{(21,1),(47,1),(48,1),(77,1)}
        34:{1,2,4,5}:{(21,1),(23,1),(28,1),(47,1)}
        35:{1,2,4,7}:{(21,1),(22,1),(24,1),(29,1)}
        36:{1,2,3,6,7}:{(22,1),(25,1),(30,1),(50,1),(77,1)}
        37:{1,3,4,5,7}:{(23,1),(24,1),(49,1),(52,1),(53,1),(107,1)}
        38:{1,3,4,6,7}:{(24,1),(25,1),(50,1),(52,1),(53,1),(54,1),(81,1)}
        39:{1,3,5,6,7}:{(25,1),(26,1),(53,1),(54,1),(55,1)}
        40:{1,2,4,5,6,7}:{(26,1),(27,1),(54,1),(55,1),(56,1),(80,1),(85,1),(86,1)}
        41:{3,4,5,6,7}:{(27,1),(55,1),(56,1),(88,1)}
        42:{2,3,4,5,7}:{(28,1),(29,1),(49,1),(57,1),(58,1),(107,1)}
        43:{2,3,4,6,7}:{(29,1),(30,1),(50,1),(57,1),(58,1),(59,1),(81,1)}
        44:{2,3,5,6,7}:{(30,1),(31,1),(58,1),(59,1),(60,1)}
        45:{1,2,4,5,6,7}:{(31,1),(32,1),(59,1),(60,1),(61,1),(80,1),(89,1),(91,1)}
        46:{3,4,5,6,7}:{(32,1),(60,1),(61,1),(83,1)}
        47:{1,2,3,5}:{(33,1),(34,1)}
        48:{1,2,3,4,7}:{(33,1),(35,1),(62,1)}
        49:{1,2,4,5,7}:{(34,1),(35,1),(37,1),(42,1),(62,1),(64,1),(65,1)}
        50:{1,2,4,6,7}:{(35,1),(36,1),(38,1),(43,1),(64,1),(65,1)}
        51:{1,2,3,5,6,7}:{(36,1),(39,1),(44,1),(65,1),(66,1),(71,1),(75,1),(92,1),(95,1),(125,1),(126,1)}
        52:{1,3,4,6}:{(37,1),(64,1),(67,1),(120,1)}
        53:{1,3,5,7}:{(38,1),(65,1),(67,1),(68,1),(95,1)}
        54:{1,4,6,7}:{(39,1),(68,1),(69,1)}
        55:{3,5,6,7}:{(40,1),(69,1),(95,1)}
        56:{1,4,5,6,7}:{(41,1),(70,1),(103,1)}
        57:{2,3,4,6}:{(42,1),(64,1),(72,1),(120,1)}
        58:{2,3,5,7}:{(43,1),(65,1),(72,1),(73,1),(95,1)}
        59:{2,4,6,7}:{(44,1),(73,1),(74,1)}
        60:{3,5,6,7}:{(45,1),(74,1),(95,1)}
        61:{2,4,5,6,7}:{(46,1),(76,1),(100,1)}
        62:{1,2,3,5,7}:{(47,1),(48,1),(49,1),(77,1)}
        63:{1,2,3,4,6,7}:{(48,1),(50,1),(77,1),(78,1),(81,1),(106,1),(111,1),(146,1),(147,1)}
        64:{1,2,4,6}:{(49,1),(52,1),(57,1),(77,1),(79,1)}
        65:{1,2,5,7}:{(50,1),(53,1),(58,1),(79,1)}
        66:{1,2,4,6,7}:{(51,1),(54,1),(59,1),(80,1),(81,1),(85,1),(89,1),(106,1)}
        67:{1,3,5,6}:{(52,1),(53,1),(79,1),(82,1),(108,1)}
        68:{1,4,5,7}:{(53,1),(54,1),(82,1),(83,1)}
        69:{3,4,6,7}:{(54,1),(55,1),(83,1),(85,1)}
        70:{1,3,5,6,7}:{(55,1),(56,1),(84,1),(86,1),(109,1)}
        71:{2,3,5,6,7}:{(55,1),(85,1),(86,1),(110,1),(115,1)}
        72:{2,3,5,6}:{(57,1),(58,1),(79,1),(87,1),(108,1)}
        73:{2,4,5,7}:{(58,1),(59,1),(87,1),(88,1)}
        74:{3,4,6,7}:{(59,1),(60,1),(88,1),(89,1)}
        75:{1,3,5,6,7}:{(60,1),(89,1),(91,1),(109,1),(119,1)}
        76:{2,3,5,6,7}:{(60,1),(61,1),(90,1),(91,1),(110,1)}
        77:{1,2,3,6}:{(62,1),(64,1)}
        78:{1,2,3,5,7}:{(63,1),(65,1),(92,1),(93,1),(95,1),(125,1)}
        79:{1,2,5,6}:{(64,1),(65,1),(67,1),(72,1)}
        80:{1,2,4,5,7}:{(65,1),(66,1),(68,1),(73,1),(94,1),(95,1),(100,1),(103,1),(125,1)}
        81:{3,4,6,7}:{(66,1),(95,1),(120,1)}
        82:{1,4,5,6}:{(67,1),(68,1),(98,1)}
        83:{3,4,5,7}:{(68,1),(69,1),(95,1),(98,1),(100,1)}
        84:{1,3,4,6,7}:{(69,1),(70,1),(99,1),(101,1)}
        85:{2,4,6,7}:{(69,1),(71,1),(100,1)}
        86:{1,2,5,6,7}:{(70,1),(71,1),(101,1),(125,1)}
        87:{2,4,5,6}:{(72,1),(73,1),(102,1)}
        88:{3,4,5,7}:{(73,1),(74,1),(95,1),(102,1),(103,1)}
        89:{1,4,6,7}:{(74,1),(75,1),(103,1)}
        90:{2,3,4,6,7}:{(74,1),(76,1),(104,1),(105,1)}
        91:{1,2,5,6,7}:{(75,1),(76,1),(105,1),(125,1)}
        92:{1,2,3,5,6}:{(77,1),(78,1),(79,1),(106,1),(108,1),(134,1),(146,1)}
        93:{1,2,4,5,7}:{(78,1),(106,1),(107,1)}
        94:{1,2,4,5,6}:{(79,1),(80,1),(82,1),(87,1),(106,1),(108,1),(113,1),(116,1),(134,1)}
        95:{3,5,7}:{(80,1),(81,1),(108,1)}
        96:{1,3,4,6,7}:{(81,1),(89,1),(109,1),(111,1),(119,1),(131,1),(139,1)}
        97:{2,3,4,6,7}:{(81,1),(85,1),(110,1),(111,1),(115,1),(132,1),(137,1)}
        98:{3,4,5,6}:{(82,1),(83,1),(108,1),(113,1)}
        99:{1,3,4,5,7}:{(83,1),(84,1),(109,1),(112,1),(114,1),(139,1)}
       100:{2,4,5,7}:{(83,1),(85,1),(110,1),(113,1)}
       101:{1,2,4,6,7}:{(84,1),(85,1),(86,1),(114,1),(115,1)}
       102:{3,4,5,6}:{(87,1),(88,1),(108,1),(116,1)}
       103:{1,4,5,7}:{(88,1),(89,1),(109,1),(116,1)}
       104:{2,3,4,5,7}:{(88,1),(90,1),(110,1),(117,1),(118,1),(137,1)}
       105:{1,2,4,6,7}:{(89,1),(90,1),(91,1),(118,1),(119,1)}
       106:{1,2,4,6}:{(92,1),(93,1),(120,1)}
       107:{3,4,5,7}:{(93,1),(95,1),(120,1)}
       108:{3,5,6}:{(94,1),(95,1),(120,1)}
       109:{1,3,5,7}:{(95,1),(96,1),(103,1),(123,1),(125,1)}
       110:{2,3,5,7}:{(95,1),(97,1),(100,1),(124,1),(125,1)}
       111:{1,2,4,6,7}:{(96,1),(97,1),(125,1),(126,1),(140,1),(143,1)}
       112:{1,3,4,5,6}:{(98,1),(99,1),(123,1),(127,1),(145,1)}
       113:{2,4,5,6}:{(98,1),(100,1),(124,1)}
       114:{1,2,4,5,7}:{(99,1),(100,1),(101,1),(125,1),(127,1),(128,1),(143,1)}
       115:{2,3,6,7}:{(101,1),(128,1)}
       116:{1,4,5,6}:{(102,1),(103,1),(123,1)}
       117:{2,3,4,5,6}:{(102,1),(104,1),(124,1),(129,1),(144,1)}
       118:{1,2,4,5,7}:{(103,1),(104,1),(105,1),(125,1),(129,1),(130,1),(143,1)}
       119:{1,3,6,7}:{(105,1),(130,1)}
       120:{3,4,6}:{(106,1),(107,1),(108,1)}
       121:{1,3,4,5,7}:{(107,1),(109,1),(131,1),(133,1),(139,1),(150,1)}
       122:{2,3,4,5,7}:{(107,1),(110,1),(132,1),(133,1),(137,1),(149,1)}
       123:{1,3,5,6}:{(108,1),(109,1),(116,1),(131,1),(134,1)}
       124:{2,3,5,6}:{(108,1),(110,1),(113,1),(132,1),(134,1)}
       125:{1,2,5,7}:{(109,1),(110,1),(111,1),(134,1)}
       126:{1,2,3,6,7}:{(111,1),(115,1),(119,1),(135,1),(146,1)}
       127:{1,2,4,5,6}:{(112,1),(113,1),(114,1),(134,1),(136,1),(148,1)}
       128:{2,3,5,7}:{(114,1),(115,1),(136,1),(137,1)}
       129:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(134,1),(138,1),(148,1)}
       130:{1,3,5,7}:{(118,1),(119,1),(138,1),(139,1)}
       131:{1,3,4,6}:{(120,1),(121,1),(123,1),(140,1)}
       132:{2,3,4,6}:{(120,1),(122,1),(124,1),(140,1)}
       133:{1,2,4,5,7}:{(121,1),(122,1),(125,1),(140,1),(141,1),(143,1),(152,1)}
       134:{1,2,5,6}:{(123,1),(124,1),(125,1),(140,1)}
       135:{1,2,3,5,7}:{(125,1),(126,1),(128,1),(130,1),(142,1),(143,1)}
       136:{2,3,5,6}:{(127,1),(128,1),(144,1)}
       137:{2,3,4,7}:{(128,1),(143,1),(144,1)}
       138:{1,3,5,6}:{(129,1),(130,1),(145,1)}
       139:{1,3,4,7}:{(130,1),(143,1),(145,1)}
       140:{1,2,4,6}:{(131,1),(132,1),(133,1),(134,1),(146,1)}
       141:{1,2,3,5,7}:{(133,1),(146,1),(147,1),(153,1)}
       142:{1,2,3,5,6}:{(134,1),(135,1),(136,1),(138,1),(146,1),(148,1),(153,1)}
       143:{1,2,4,7}:{(135,1),(137,1),(139,1),(148,1)}
       144:{2,3,4,6}:{(136,1),(137,1),(148,1),(149,1)}
       145:{1,3,4,6}:{(138,1),(139,1),(148,1),(150,1)}
       146:{1,2,3,6}:{(140,1),(141,1)}
       147:{1,2,3,4,7}:{(141,1),(143,1),(151,1)}
       148:{1,2,4,6}:{(142,1),(143,1),(144,1),(145,1),(152,1)}
       149:{2,3,4,5}:{(144,1),(152,1)}
       150:{1,3,4,5}:{(145,1),(152,1)}
       151:{1,2,3,4,6}:{(146,1),(147,1),(148,1),(153,1)}
       152:{1,2,4,5}:{(148,1),(149,1),(150,1),(153,1)}
       153:{1,2,3,5}:{(151,1),(152,1)}

2087 :   0:{2,3,4,5,7}:{(12,1),(13,1),(15,1),(59,1),(72,1),(121,1),(122,1),(129,1),(133,1),(171,1)}
         1:{2,3,4,6,7}:{(13,1),(14,1),(15,1),(18,1),(69,1),(70,1),(129,1)}
         2:{1,3,5,6,7}:{(16,1),(17,1),(54,1),(65,1),(67,1),(69,1)}
         3:{2,3,5,6,7}:{(15,1),(16,1),(18,1),(19,1),(55,1),(69,1)}
         4:{2,4,5,6,7}:{(18,1),(19,1),(76,1)}
         5:{1,3,4,5,7}:{(20,1),(21,1),(23,1),(58,1),(60,1),(121,1),(123,1),(124,1),(138,1),(176,1)}
         6:{1,3,4,6,7}:{(21,1),(22,1),(23,1),(25,1),(81,1),(83,1),(138,1)}
         7:{1,3,5,6,7}:{(23,1),(24,1),(25,1),(27,1),(54,1),(81,1)}
         8:{2,3,5,6,7}:{(24,1),(26,1),(55,1),(77,1),(80,1),(81,1)}
         9:{1,4,5,6,7}:{(25,1),(27,1),(63,1)}
        10:{1,3,4,6,7}:{(28,1),(29,1),(34,1),(39,1),(87,1),(93,1),(98,1),(144,1),(147,1)}
        11:{2,3,4,6,7}:{(28,1),(30,1),(45,1),(51,1),(88,1),(104,1),(109,1),(144,1),(147,1)}
        12:{1,2,4,5,7}:{(0,1),(31,1),(32,1),(35,1),(84,1),(98,1),(142,1),(150,1)}
        13:{2,3,4,6}:{(0,1),(32,1),(33,1),(88,1),(144,1),(145,1),(151,1)}
        14:{1,2,4,6,7}:{(1,1),(32,1),(34,1),(35,1),(98,1)}
        15:{2,3,5,7}:{(1,1),(33,1),(35,1),(37,1),(99,1),(100,1)}
        16:{1,2,5,6,7}:{(2,1),(3,1),(35,1),(38,1),(41,1),(86,1),(100,1)}
        17:{1,4,6,7}:{(2,1),(36,1),(39,1),(87,1),(98,1)}
        18:{2,4,6,7}:{(3,1),(37,1),(40,1),(88,1)}
        19:{3,5,6,7}:{(4,1),(40,1),(41,1),(108,1)}
        20:{1,2,4,5,7}:{(5,1),(42,1),(43,1),(46,1),(84,1),(109,1),(142,1),(157,1)}
        21:{1,3,4,6}:{(5,1),(43,1),(44,1),(87,1),(144,1),(146,1),(158,1)}
        22:{1,2,4,6,7}:{(6,1),(43,1),(45,1),(46,1),(109,1)}
        23:{1,3,5,7}:{(6,1),(44,1),(46,1),(47,1),(110,1),(112,1)}
        24:{1,2,5,6,7}:{(7,1),(8,1),(46,1),(49,1),(52,1),(86,1),(112,1)}
        25:{1,4,6,7}:{(7,1),(47,1),(50,1),(87,1)}
        26:{2,4,6,7}:{(8,1),(48,1),(51,1),(88,1),(109,1)}
        27:{3,5,6,7}:{(9,1),(50,1),(52,1),(96,1)}
        28:{1,2,4,6,7}:{(10,1),(11,1),(56,1),(57,1),(70,1),(83,1),(115,1),(117,1),(120,1)}
        29:{1,3,5,7}:{(10,1),(54,1),(57,1),(58,1),(67,1),(121,1),(124,1)}
        30:{2,3,5,7}:{(11,1),(55,1),(57,1),(59,1),(80,1),(121,1),(133,1)}
        31:{1,3,5,7}:{(12,1),(60,1),(61,1),(121,1),(124,1)}
        32:{1,2,4,6}:{(12,1),(13,1),(61,1),(62,1),(125,1)}
        33:{2,3,5,6}:{(13,1),(15,1),(62,1),(64,1),(126,1),(127,1),(133,1)}
        34:{1,3,6,7}:{(14,1),(61,1),(65,1),(69,1)}
        35:{1,2,5,7}:{(14,1),(15,1),(62,1),(65,1)}
        36:{1,4,5,7}:{(17,1),(63,1),(67,1)}
        37:{2,4,5,7}:{(15,1),(18,1),(64,1),(68,1)}
        38:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(66,1),(69,1),(70,1),(71,1),(117,1),(132,1)}
        39:{3,4,6,7}:{(17,1),(67,1),(69,1),(70,1),(118,1),(129,1)}
        40:{3,4,6,7}:{(18,1),(19,1),(68,1),(69,1),(71,1),(119,1)}
        41:{1,5,6,7}:{(19,1),(71,1),(137,1)}
        42:{2,3,5,7}:{(20,1),(72,1),(73,1),(121,1),(133,1)}
        43:{1,2,4,6}:{(20,1),(21,1),(73,1),(74,1),(134,1)}
        44:{1,3,5,6}:{(21,1),(23,1),(74,1),(75,1),(124,1),(135,1),(137,1)}
        45:{2,3,6,7}:{(22,1),(73,1),(77,1),(81,1)}
        46:{1,2,5,7}:{(22,1),(23,1),(74,1),(77,1)}
        47:{1,4,5,7}:{(23,1),(25,1),(75,1),(79,1)}
        48:{2,4,5,7}:{(26,1),(76,1),(80,1)}
        49:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(78,1),(81,1),(82,1),(83,1),(117,1),(141,1)}
        50:{3,4,6,7}:{(25,1),(27,1),(79,1),(81,1),(82,1),(118,1)}
        51:{3,4,6,7}:{(26,1),(80,1),(81,1),(83,1),(119,1),(138,1)}
        52:{2,5,6,7}:{(27,1),(82,1),(127,1)}
        53:{1,2,3,5,7}:{(31,1),(42,1),(84,1),(85,1),(142,1)}
        54:{1,3,5,6}:{(29,1),(86,1),(87,1),(96,1),(144,1)}
        55:{2,3,5,6}:{(30,1),(86,1),(88,1),(108,1),(144,1)}
        56:{1,2,3,6,7}:{(28,1),(34,1),(45,1),(85,1),(89,1),(103,1),(113,1),(144,1),(184,1)}
        57:{1,2,5,7}:{(28,1),(29,1),(30,1),(86,1),(100,1),(112,1),(142,1)}
        58:{1,4,5,7}:{(29,1),(87,1),(91,1),(98,1),(150,1)}
        59:{2,4,5,7}:{(30,1),(88,1),(92,1),(109,1),(157,1)}
        60:{1,3,4,7}:{(31,1),(84,1),(93,1),(98,1),(147,1)}
        61:{1,3,6}:{(31,1),(32,1),(144,1)}
        62:{1,2,5,6}:{(32,1),(33,1),(35,1),(94,1),(142,1)}
        63:{1,4,5,6}:{(36,1),(87,1),(96,1)}
        64:{2,4,5,6}:{(33,1),(37,1),(88,1),(97,1),(157,1)}
        65:{1,3,5,7}:{(34,1),(35,1),(94,1),(98,1),(99,1)}
        66:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(38,1),(95,1),(98,1),(99,1),(100,1),(101,1),(155,1),(156,1)}
        67:{3,5,7}:{(36,1),(39,1),(96,1),(100,1)}
        68:{3,4,5,7}:{(37,1),(40,1),(97,1),(99,1),(101,1)}
        69:{3,6,7}:{(38,1),(99,1),(144,1)}
        70:{2,4,6,7}:{(39,1),(100,1),(103,1),(145,1),(155,1)}
        71:{1,4,6,7}:{(40,1),(41,1),(101,1),(102,1),(146,1)}
        72:{2,3,4,7}:{(42,1),(84,1),(104,1),(109,1),(147,1)}
        73:{2,3,6}:{(42,1),(43,1),(144,1)}
        74:{1,2,5,6}:{(43,1),(44,1),(46,1),(105,1),(142,1)}
        75:{1,4,5,6}:{(44,1),(47,1),(87,1),(107,1),(150,1)}
        76:{2,4,5,6}:{(48,1),(88,1),(108,1)}
        77:{2,3,5,7}:{(45,1),(46,1),(105,1),(109,1),(110,1)}
        78:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(49,1),(106,1),(109,1),(110,1),(111,1),(112,1),(161,1),(163,1)}
        79:{3,4,5,7}:{(47,1),(50,1),(107,1),(110,1),(111,1)}
        80:{3,5,7}:{(48,1),(51,1),(108,1),(112,1)}
        81:{3,6,7}:{(49,1),(110,1),(144,1)}
        82:{2,4,6,7}:{(50,1),(52,1),(111,1),(114,1),(145,1)}
        83:{1,4,6,7}:{(51,1),(112,1),(113,1),(146,1),(161,1)}
        84:{1,2,4,7}:{(53,1),(60,1),(72,1),(115,1)}
        85:{1,2,3,6}:{(53,1),(61,1),(73,1),(115,1)}
        86:{1,2,5,6}:{(54,1),(55,1),(57,1),(117,1),(127,1),(137,1)}
        87:{1,4,6}:{(54,1),(58,1),(118,1)}
        88:{2,4,6}:{(55,1),(59,1),(119,1)}
        89:{1,2,3,5,7}:{(56,1),(57,1),(65,1),(77,1),(116,1),(120,1),(121,1),(131,1),(139,1),(170,1),(197,1)}
        90:{1,2,4,5,7}:{(57,1),(58,1),(59,1),(117,1),(120,1),(121,1),(122,1),(123,1),(164,1),(170,1)}
        91:{3,4,5,7}:{(58,1),(67,1),(118,1),(121,1),(122,1),(129,1),(171,1)}
        92:{3,4,5,7}:{(59,1),(80,1),(119,1),(121,1),(123,1),(138,1),(176,1)}
        93:{1,3,4,6}:{(60,1),(61,1),(115,1),(124,1),(125,1),(165,1)}
        94:{1,3,5,6}:{(61,1),(62,1),(65,1),(124,1),(125,1),(126,1)}
        95:{1,2,4,5,6}:{(62,1),(63,1),(64,1),(66,1),(117,1),(125,1),(126,1),(127,1),(128,1),(164,1),(173,1),(174,1)}
        96:{3,5,6}:{(63,1),(67,1),(118,1),(127,1)}
        97:{3,4,5,6}:{(64,1),(68,1),(119,1),(126,1),(128,1),(176,1)}
        98:{1,4,7}:{(65,1),(125,1),(129,1)}
        99:{3,5,7}:{(66,1),(69,1),(126,1),(129,1)}
       100:{2,5,7}:{(67,1),(70,1),(127,1)}
       101:{1,4,5,7}:{(68,1),(71,1),(128,1),(130,1)}
       102:{1,3,6,7}:{(69,1),(71,1),(130,1),(132,1),(166,1)}
       103:{2,3,6,7}:{(69,1),(70,1),(131,1),(132,1),(167,1)}
       104:{2,3,4,6}:{(72,1),(73,1),(115,1),(133,1),(134,1),(165,1)}
       105:{2,3,5,6}:{(73,1),(74,1),(77,1),(133,1),(134,1),(135,1)}
       106:{1,2,4,5,6}:{(74,1),(75,1),(76,1),(78,1),(117,1),(134,1),(135,1),(136,1),(137,1),(164,1),(177,1),(179,1)}
       107:{3,4,5,6}:{(75,1),(79,1),(118,1),(135,1),(136,1),(171,1)}
       108:{3,5,6}:{(76,1),(80,1),(119,1),(137,1)}
       109:{2,4,7}:{(77,1),(134,1),(138,1)}
       110:{3,5,7}:{(78,1),(81,1),(135,1),(138,1)}
       111:{2,4,5,7}:{(79,1),(82,1),(136,1),(140,1)}
       112:{1,5,7}:{(80,1),(83,1),(137,1)}
       113:{1,3,6,7}:{(81,1),(83,1),(139,1),(141,1),(166,1)}
       114:{2,3,6,7}:{(81,1),(82,1),(140,1),(141,1),(167,1)}
       115:{1,2,4,6}:{(84,1),(85,1),(93,1),(104,1),(142,1)}
       116:{1,2,3,5,6}:{(85,1),(86,1),(89,1),(94,1),(105,1),(142,1),(143,1),(144,1),(153,1),(159,1),(181,1),(184,1),(202,1),(203,1)}
       117:{1,2,4,6}:{(86,1),(87,1),(88,1),(90,1),(144,1),(145,1),(146,1),(184,1)}
       118:{3,4,6}:{(87,1),(91,1),(96,1),(144,1),(145,1)}
       119:{3,4,6}:{(88,1),(92,1),(108,1),(144,1),(146,1)}
       120:{1,2,4,7}:{(89,1),(98,1),(109,1),(143,1),(147,1),(155,1),(161,1)}
       121:{3,5,7}:{(90,1),(144,1),(147,1),(181,1)}
       122:{2,4,5,7}:{(91,1),(100,1),(145,1),(149,1),(155,1),(187,1)}
       123:{1,4,5,7}:{(92,1),(112,1),(146,1),(148,1),(161,1),(190,1)}
       124:{1,3,5}:{(93,1),(142,1),(150,1),(181,1)}
       125:{1,4,6}:{(94,1),(98,1),(150,1),(151,1)}
       126:{3,5,6}:{(95,1),(99,1),(144,1),(151,1),(181,1)}
       127:{2,5,6}:{(96,1),(100,1),(145,1)}
       128:{1,4,5,6}:{(97,1),(101,1),(146,1),(152,1),(190,1)}
       129:{3,4,7}:{(98,1),(99,1),(151,1),(155,1)}
       130:{1,3,5,7}:{(99,1),(101,1),(102,1),(152,1),(154,1),(156,1)}
       131:{2,3,5,7}:{(99,1),(100,1),(103,1),(153,1),(155,1),(156,1),(189,1)}
       132:{1,2,6,7}:{(102,1),(103,1),(156,1),(184,1)}
       133:{2,3,5}:{(104,1),(142,1),(157,1),(181,1)}
       134:{2,4,6}:{(105,1),(109,1),(157,1),(158,1)}
       135:{3,5,6}:{(106,1),(110,1),(144,1),(158,1),(181,1)}
       136:{2,4,5,6}:{(107,1),(111,1),(145,1),(160,1),(187,1)}
       137:{1,5,6}:{(108,1),(112,1),(146,1)}
       138:{3,4,7}:{(109,1),(110,1),(158,1),(161,1)}
       139:{1,3,5,7}:{(110,1),(112,1),(113,1),(159,1),(161,1),(163,1),(193,1)}
       140:{2,3,5,7}:{(110,1),(111,1),(114,1),(160,1),(162,1),(163,1)}
       141:{1,2,6,7}:{(113,1),(114,1),(163,1),(184,1)}
       142:{1,2,5}:{(115,1),(124,1),(133,1)}
       143:{1,2,4,6}:{(116,1),(120,1),(125,1),(134,1),(164,1),(165,1),(173,1),(177,1)}
       144:{3,6}:{(117,1),(121,1)}
       145:{2,4,6}:{(118,1),(122,1),(127,1),(167,1)}
       146:{1,4,6}:{(119,1),(123,1),(137,1),(166,1)}
       147:{3,4,7}:{(120,1),(121,1),(165,1)}
       148:{1,3,5,7}:{(121,1),(123,1),(166,1),(168,1),(170,1),(194,1)}
       149:{2,3,5,7}:{(121,1),(122,1),(167,1),(169,1),(170,1),(195,1)}
       150:{1,4,5}:{(124,1),(125,1),(171,1)}
       151:{3,4,6}:{(125,1),(126,1),(129,1),(171,1),(173,1)}
       152:{1,3,5,6}:{(126,1),(128,1),(130,1),(166,1),(172,1),(174,1),(194,1)}
       153:{2,3,5,6}:{(126,1),(127,1),(131,1),(167,1),(173,1),(174,1),(195,1),(199,1)}
       154:{1,3,4,7}:{(129,1),(130,1),(172,1),(175,1)}
       155:{2,4,7}:{(129,1),(131,1),(173,1)}
       156:{1,2,5,7}:{(130,1),(131,1),(132,1),(174,1),(175,1)}
       157:{2,4,5}:{(133,1),(134,1),(176,1)}
       158:{3,4,6}:{(134,1),(135,1),(138,1),(176,1),(177,1)}
       159:{1,3,5,6}:{(135,1),(137,1),(139,1),(166,1),(177,1),(179,1),(194,1),(201,1)}
       160:{2,3,5,6}:{(135,1),(136,1),(140,1),(167,1),(178,1),(179,1),(195,1)}
       161:{1,4,7}:{(138,1),(139,1),(177,1)}
       162:{2,3,4,7}:{(138,1),(140,1),(178,1),(180,1)}
       163:{1,2,5,7}:{(139,1),(140,1),(141,1),(179,1),(180,1)}
       164:{1,2,4,5}:{(142,1),(143,1),(150,1),(157,1),(181,1),(187,1),(190,1),(202,1)}
       165:{3,4,6}:{(143,1),(144,1),(147,1),(181,1)}
       166:{1,3,6}:{(144,1),(146,1),(148,1),(184,1)}
       167:{2,3,6}:{(144,1),(145,1),(149,1),(184,1)}
       168:{1,3,4,7}:{(147,1),(148,1),(161,1),(182,1),(185,1),(193,1)}
       169:{2,3,4,7}:{(147,1),(149,1),(155,1),(183,1),(185,1),(189,1)}
       170:{1,2,5,7}:{(148,1),(149,1),(184,1),(185,1),(202,1)}
       171:{3,4,5}:{(150,1),(151,1),(181,1),(187,1)}
       172:{1,3,4,6}:{(151,1),(152,1),(154,1),(186,1),(188,1)}
       173:{2,4,6}:{(151,1),(153,1),(155,1),(187,1)}
       174:{1,2,5,6}:{(152,1),(153,1),(156,1),(184,1),(188,1),(202,1)}
       175:{1,2,4,7}:{(154,1),(155,1),(156,1),(188,1),(189,1)}
       176:{3,4,5}:{(157,1),(158,1),(181,1),(190,1)}
       177:{1,4,6}:{(158,1),(159,1),(161,1),(190,1)}
       178:{2,3,4,6}:{(158,1),(160,1),(162,1),(191,1),(192,1)}
       179:{1,2,5,6}:{(159,1),(160,1),(163,1),(184,1),(192,1),(202,1)}
       180:{1,2,4,7}:{(161,1),(162,1),(163,1),(192,1),(193,1)}
       181:{3,5}:{(164,1),(165,1)}
       182:{1,3,4,6}:{(165,1),(166,1),(168,1),(177,1),(194,1),(196,1),(201,1),(208,1)}
       183:{2,3,4,6}:{(165,1),(167,1),(169,1),(173,1),(195,1),(196,1),(199,1),(207,1)}
       184:{1,2,6}:{(166,1),(167,1),(170,1)}
       185:{1,2,4,7}:{(168,1),(169,1),(170,1),(196,1),(197,1)}
       186:{1,3,4,5}:{(171,1),(172,1),(194,1),(198,1),(208,1)}
       187:{2,4,5}:{(171,1),(173,1),(195,1)}
       188:{1,2,4,6}:{(172,1),(173,1),(174,1),(175,1),(198,1),(199,1)}
       189:{2,3,7}:{(175,1),(199,1)}
       190:{1,4,5}:{(176,1),(177,1),(194,1)}
       191:{2,3,4,5}:{(176,1),(178,1),(195,1),(200,1),(207,1)}
       192:{1,2,4,6}:{(177,1),(178,1),(179,1),(180,1),(200,1),(201,1)}
       193:{1,3,7}:{(180,1),(201,1)}
       194:{1,3,5}:{(181,1),(182,1),(190,1),(202,1)}
       195:{2,3,5}:{(181,1),(183,1),(187,1),(202,1)}
       196:{1,2,4,6}:{(182,1),(183,1),(184,1),(185,1),(202,1),(203,1),(209,1)}
       197:{1,2,3,7}:{(185,1),(189,1),(193,1),(203,1)}
       198:{1,2,4,5}:{(186,1),(187,1),(188,1),(202,1),(204,1),(209,1)}
       199:{2,3,6}:{(188,1),(189,1),(204,1)}
       200:{1,2,4,5}:{(190,1),(191,1),(192,1),(202,1),(205,1),(209,1)}
       201:{1,3,6}:{(192,1),(193,1),(205,1)}
       202:{1,2,5}:{(194,1),(195,1),(196,1)}
       203:{1,2,3,6}:{(196,1),(197,1),(199,1),(201,1),(206,1)}
       204:{2,3,5}:{(198,1),(199,1),(207,1)}
       205:{1,3,5}:{(200,1),(201,1),(208,1)}
       206:{1,2,3,5}:{(202,1),(203,1),(204,1),(205,1),(209,1)}
       207:{2,3,4}:{(204,1),(209,1)}
       208:{1,3,4}:{(205,1),(209,1)}
       209:{1,2,4}:{(206,1),(207,1),(208,1)}

2088 :  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:{3,4,5,6}:{(4,1),(9,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,2,3,6,7}:{(5,1),(10,1)}
        9:{3,4,5,7}:{(6,1),(7,1),(11,1)}
       10:{1,2,4,6,7}:{(7,1),(8,1),(11,1),(12,1)}
       11:{3,4,6,7}:{(9,1),(10,1),(13,1)}
       12:{1,2,5,6,7}:{(10,1),(13,1)}
       13:{3,5,6,7}:{(11,1),(12,1),(14,1)}
       14:{4,5,6,7}:{(13,1)}

2089 :   0:{1,2,3,5,6,7}:{(3,1),(19,1),(29,1),(37,1),(64,1),(65,1),(69,1),(70,1),(78,1),(80,1),(88,1),(90,1),(119,1),(129,1),(135,1)}
         1:{1,2,4,5,6,7}:{(4,1),(18,1),(27,1),(28,1),(29,1),(77,1)}
         2:{1,2,4,5,6,7}:{(5,1),(18,1),(35,1),(36,1),(37,1),(87,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(91,1),(92,1),(106,1),(114,1),(140,1),(148,1),(152,1)}
         4:{3,5,6,7}:{(1,1),(10,1),(38,1),(105,1)}
         5:{3,5,6,7}:{(2,1),(15,1),(38,1),(113,1)}
         6:{1,2,4,5,7}:{(3,1),(18,1),(19,1),(67,1),(68,1),(69,1),(156,1)}
         7:{3,4,6,7}:{(3,1),(19,1),(63,1),(80,1),(90,1),(130,1),(136,1),(155,1)}
         8:{1,3,4,5,7}:{(22,1),(23,1),(25,1),(67,1),(85,1),(123,1),(130,1),(134,1),(161,1)}
         9:{1,3,4,6,7}:{(22,1),(25,1),(26,1),(27,1),(80,1),(130,1)}
        10:{3,4,6,7}:{(4,1),(24,1),(27,1),(28,1),(63,1),(80,1),(130,1)}
        11:{1,3,5,6,7}:{(4,1),(25,1),(27,1),(29,1),(64,1),(80,1),(129,1)}
        12:{2,3,5,6,7}:{(4,1),(28,1),(29,1),(65,1),(76,1),(78,1),(80,1)}
        13:{2,3,4,5,7}:{(30,1),(31,1),(33,1),(68,1),(75,1),(123,1),(128,1),(136,1),(163,1)}
        14:{2,3,4,6,7}:{(30,1),(33,1),(34,1),(36,1),(90,1),(136,1)}
        15:{3,4,6,7}:{(5,1),(32,1),(35,1),(36,1),(63,1),(90,1),(136,1)}
        16:{1,3,5,6,7}:{(5,1),(35,1),(37,1),(64,1),(86,1),(88,1),(90,1)}
        17:{2,3,5,6,7}:{(5,1),(33,1),(36,1),(37,1),(65,1),(90,1),(135,1)}
        18:{1,2,4,5,6}:{(6,1),(38,1),(91,1),(92,1),(93,1)}
        19:{3,5,7}:{(6,1),(7,1),(38,1),(167,1)}
        20:{1,3,4,6,7}:{(7,1),(40,1),(42,1),(60,1),(91,1),(107,1),(111,1),(114,1),(139,1),(144,1),(148,1),(166,1)}
        21:{2,3,4,6,7}:{(7,1),(41,1),(42,1),(50,1),(92,1),(103,1),(106,1),(115,1),(139,1),(144,1),(152,1),(165,1)}
        22:{1,3,4,6}:{(8,1),(44,1),(45,1),(91,1),(139,1),(146,1)}
        23:{1,2,4,5,7}:{(8,1),(45,1),(46,1),(49,1),(95,1),(106,1),(141,1),(147,1)}
        24:{3,4,5,7}:{(10,1),(43,1),(47,1),(48,1),(105,1)}
        25:{1,3,5,7}:{(9,1),(44,1),(47,1),(49,1),(105,1)}
        26:{1,2,4,6,7}:{(9,1),(45,1),(49,1),(50,1),(106,1)}
        27:{1,4,6,7}:{(10,1),(11,1),(47,1),(91,1),(148,1)}
        28:{2,4,6,7}:{(10,1),(12,1),(48,1),(92,1),(106,1)}
        29:{1,2,5,6,7}:{(11,1),(12,1),(49,1),(52,1),(93,1),(104,1)}
        30:{2,3,4,6}:{(13,1),(54,1),(55,1),(92,1),(139,1),(150,1)}
        31:{1,2,4,5,7}:{(13,1),(55,1),(56,1),(59,1),(95,1),(114,1),(141,1),(151,1)}
        32:{3,4,5,7}:{(15,1),(53,1),(57,1),(58,1),(113,1)}
        33:{2,3,5,7}:{(14,1),(54,1),(58,1),(59,1),(113,1)}
        34:{1,2,4,6,7}:{(14,1),(55,1),(59,1),(60,1),(114,1)}
        35:{1,4,6,7}:{(15,1),(16,1),(57,1),(91,1),(114,1)}
        36:{2,4,6,7}:{(15,1),(17,1),(58,1),(92,1),(152,1)}
        37:{1,2,5,6,7}:{(16,1),(17,1),(59,1),(62,1),(93,1),(112,1)}
        38:{3,5,6}:{(18,1),(19,1),(63,1)}
        39:{3,4,5,7}:{(19,1),(63,1),(67,1),(68,1),(123,1),(130,1),(136,1),(161,1),(163,1)}
        40:{1,3,5,7}:{(19,1),(20,1),(64,1),(67,1),(69,1),(123,1),(134,1),(173,1)}
        41:{2,3,5,7}:{(19,1),(21,1),(65,1),(68,1),(69,1),(123,1),(128,1),(172,1)}
        42:{1,2,4,6,7}:{(20,1),(21,1),(69,1),(70,1),(118,1),(120,1),(124,1),(171,1)}
        43:{3,4,5,6}:{(24,1),(63,1),(71,1),(72,1),(126,1),(163,1)}
        44:{1,3,5,6}:{(22,1),(25,1),(71,1),(73,1),(126,1),(134,1)}
        45:{1,2,4,6}:{(22,1),(23,1),(73,1),(74,1),(127,1)}
        46:{2,3,5,7}:{(23,1),(74,1),(75,1),(123,1),(128,1)}
        47:{1,4,5,7}:{(24,1),(25,1),(27,1),(71,1)}
        48:{2,4,5,7}:{(24,1),(28,1),(72,1),(76,1)}
        49:{1,2,5,7}:{(25,1),(26,1),(73,1),(78,1)}
        50:{2,3,6,7}:{(26,1),(74,1),(78,1),(80,1)}
        51:{2,3,4,6,7}:{(28,1),(76,1),(79,1),(80,1),(117,1),(130,1)}
        52:{1,2,4,6,7}:{(27,1),(28,1),(29,1),(77,1),(80,1),(118,1)}
        53:{3,4,5,6}:{(32,1),(63,1),(81,1),(82,1),(132,1),(161,1)}
        54:{2,3,5,6}:{(30,1),(33,1),(82,1),(83,1),(128,1),(132,1)}
        55:{1,2,4,6}:{(30,1),(31,1),(83,1),(84,1),(133,1)}
        56:{1,3,5,7}:{(31,1),(84,1),(85,1),(123,1),(134,1)}
        57:{1,4,5,7}:{(32,1),(35,1),(81,1),(86,1)}
        58:{2,4,5,7}:{(32,1),(33,1),(36,1),(82,1)}
        59:{1,2,5,7}:{(33,1),(34,1),(83,1),(88,1)}
        60:{1,3,6,7}:{(34,1),(84,1),(88,1),(90,1)}
        61:{1,3,4,6,7}:{(35,1),(86,1),(89,1),(90,1),(116,1),(136,1)}
        62:{1,2,4,6,7}:{(35,1),(36,1),(37,1),(87,1),(90,1),(118,1)}
        63:{3,4,6}:{(38,1),(39,1),(91,1),(92,1),(139,1)}
        64:{1,3,5,6}:{(38,1),(40,1),(91,1),(93,1),(139,1)}
        65:{2,3,5,6}:{(38,1),(41,1),(92,1),(93,1),(139,1)}
        66:{1,2,3,5,7}:{(46,1),(56,1),(94,1),(95,1),(141,1)}
        67:{1,4,5,7}:{(39,1),(40,1),(91,1),(114,1),(148,1),(151,1),(169,1)}
        68:{2,4,5,7}:{(39,1),(41,1),(92,1),(106,1),(147,1),(152,1),(170,1)}
        69:{1,2,5,7}:{(40,1),(41,1),(42,1),(93,1),(141,1),(174,1)}
        70:{1,2,3,6,7}:{(42,1),(50,1),(60,1),(94,1),(99,1),(107,1),(115,1),(139,1),(164,1)}
        71:{1,4,5,6}:{(43,1),(44,1),(47,1),(91,1),(151,1)}
        72:{2,4,5,6}:{(43,1),(48,1),(92,1),(100,1),(170,1)}
        73:{1,2,5,6}:{(44,1),(45,1),(49,1),(102,1),(141,1)}
        74:{2,3,6}:{(45,1),(46,1),(139,1)}
        75:{2,3,4,7}:{(46,1),(95,1),(103,1),(106,1),(144,1)}
        76:{2,3,5,7}:{(48,1),(51,1),(100,1),(104,1),(105,1)}
        77:{1,2,4,5,7}:{(47,1),(48,1),(49,1),(52,1),(101,1),(104,1),(105,1),(106,1),(148,1)}
        78:{2,3,5,7}:{(49,1),(50,1),(102,1),(105,1),(106,1)}
        79:{1,2,4,6,7}:{(51,1),(104,1),(107,1),(138,1),(148,1)}
        80:{3,6,7}:{(52,1),(105,1),(139,1)}
        81:{1,4,5,6}:{(53,1),(57,1),(91,1),(108,1),(169,1)}
        82:{2,4,5,6}:{(53,1),(54,1),(58,1),(92,1),(147,1)}
        83:{1,2,5,6}:{(54,1),(55,1),(59,1),(110,1),(141,1)}
        84:{1,3,6}:{(55,1),(56,1),(139,1)}
        85:{1,3,4,7}:{(56,1),(95,1),(111,1),(114,1),(144,1)}
        86:{1,3,5,7}:{(57,1),(61,1),(108,1),(112,1),(113,1)}
        87:{1,2,4,5,7}:{(57,1),(58,1),(59,1),(62,1),(109,1),(112,1),(113,1),(114,1),(152,1)}
        88:{1,3,5,7}:{(59,1),(60,1),(110,1),(113,1),(114,1)}
        89:{1,2,4,6,7}:{(61,1),(112,1),(115,1),(137,1),(152,1)}
        90:{3,6,7}:{(62,1),(113,1),(139,1)}
        91:{1,4,6}:{(63,1),(64,1),(67,1)}
        92:{2,4,6}:{(63,1),(65,1),(68,1)}
        93:{1,2,5,6}:{(64,1),(65,1),(69,1),(118,1)}
        94:{1,2,3,6}:{(66,1),(74,1),(84,1),(120,1)}
        95:{1,2,4,7}:{(66,1),(75,1),(85,1),(120,1)}
        96:{1,3,4,5,7}:{(67,1),(86,1),(116,1),(121,1),(123,1),(136,1),(159,1),(163,1),(173,1)}
        97:{2,3,4,5,7}:{(68,1),(76,1),(117,1),(122,1),(123,1),(130,1),(158,1),(161,1),(172,1)}
        98:{1,2,4,5,7}:{(67,1),(68,1),(69,1),(118,1),(123,1),(124,1),(156,1)}
        99:{1,2,3,5,7}:{(69,1),(70,1),(78,1),(88,1),(119,1),(123,1),(124,1),(129,1),(135,1)}
       100:{2,3,5,6}:{(72,1),(76,1),(117,1),(125,1),(126,1),(172,1)}
       101:{1,2,4,5,6}:{(71,1),(72,1),(73,1),(77,1),(118,1),(125,1),(126,1),(127,1),(156,1),(160,1)}
       102:{2,3,5,6}:{(73,1),(74,1),(78,1),(126,1),(127,1),(128,1)}
       103:{2,3,4,6}:{(74,1),(75,1),(120,1),(127,1),(128,1),(155,1)}
       104:{1,2,5,7}:{(76,1),(79,1),(125,1),(129,1)}
       105:{3,5,7}:{(77,1),(80,1),(126,1),(130,1)}
       106:{2,4,7}:{(78,1),(127,1),(130,1)}
       107:{1,3,6,7}:{(79,1),(80,1),(129,1),(154,1)}
       108:{1,3,5,6}:{(81,1),(86,1),(116,1),(131,1),(132,1),(173,1)}
       109:{1,2,4,5,6}:{(81,1),(82,1),(83,1),(87,1),(118,1),(131,1),(132,1),(133,1),(156,1),(162,1)}
       110:{1,3,5,6}:{(83,1),(84,1),(88,1),(132,1),(133,1),(134,1)}
       111:{1,3,4,6}:{(84,1),(85,1),(120,1),(133,1),(134,1),(155,1)}
       112:{1,2,5,7}:{(86,1),(89,1),(131,1),(135,1)}
       113:{3,5,7}:{(87,1),(90,1),(132,1),(136,1)}
       114:{1,4,7}:{(88,1),(133,1),(136,1)}
       115:{2,3,6,7}:{(89,1),(90,1),(135,1),(153,1)}
       116:{1,3,4,6}:{(91,1),(96,1),(108,1),(137,1),(139,1),(150,1)}
       117:{2,3,4,6}:{(92,1),(97,1),(100,1),(138,1),(139,1),(146,1)}
       118:{1,2,4,6}:{(91,1),(92,1),(93,1),(98,1),(139,1)}
       119:{1,2,3,5,6}:{(93,1),(94,1),(99,1),(102,1),(110,1),(139,1),(140,1),(141,1),(145,1),(149,1),(164,1),(167,1),(174,1)}
       120:{1,2,4,6}:{(94,1),(95,1),(103,1),(111,1),(141,1)}
       121:{1,2,4,5,7}:{(96,1),(112,1),(137,1),(142,1),(152,1),(168,1),(170,1),(174,1)}
       122:{1,2,4,5,7}:{(97,1),(104,1),(138,1),(143,1),(148,1),(168,1),(169,1),(174,1)}
       123:{3,5,7}:{(98,1),(139,1),(144,1),(167,1)}
       124:{1,2,4,7}:{(99,1),(106,1),(114,1),(140,1),(144,1),(148,1),(152,1)}
       125:{1,2,5,6}:{(100,1),(104,1),(138,1),(145,1),(174,1)}
       126:{3,5,6}:{(101,1),(105,1),(139,1),(146,1),(167,1)}
       127:{2,4,6}:{(102,1),(106,1),(146,1),(147,1)}
       128:{2,3,5}:{(103,1),(141,1),(147,1),(167,1)}
       129:{1,3,5,7}:{(104,1),(105,1),(107,1),(145,1),(148,1)}
       130:{3,4,7}:{(105,1),(106,1),(146,1),(148,1)}
       131:{1,2,5,6}:{(108,1),(112,1),(137,1),(149,1),(174,1)}
       132:{3,5,6}:{(109,1),(113,1),(139,1),(150,1),(167,1)}
       133:{1,4,6}:{(110,1),(114,1),(150,1),(151,1)}
       134:{1,3,5}:{(111,1),(141,1),(151,1),(167,1)}
       135:{2,3,5,7}:{(112,1),(113,1),(115,1),(149,1),(152,1)}
       136:{3,4,7}:{(113,1),(114,1),(150,1),(152,1)}
       137:{1,2,4,6}:{(116,1),(121,1),(131,1),(153,1),(162,1)}
       138:{1,2,4,6}:{(117,1),(122,1),(125,1),(154,1),(160,1)}
       139:{3,6}:{(118,1),(123,1)}
       140:{1,2,4,6}:{(119,1),(124,1),(127,1),(133,1),(155,1),(156,1),(160,1),(162,1)}
       141:{1,2,5}:{(120,1),(128,1),(134,1)}
       142:{2,3,5,7}:{(121,1),(123,1),(153,1),(158,1),(172,1)}
       143:{1,3,5,7}:{(122,1),(123,1),(154,1),(159,1),(173,1)}
       144:{3,4,7}:{(123,1),(124,1),(155,1)}
       145:{1,3,5,6}:{(125,1),(126,1),(129,1),(154,1),(160,1),(173,1)}
       146:{3,4,6}:{(126,1),(127,1),(130,1),(160,1),(161,1)}
       147:{2,4,5}:{(127,1),(128,1),(161,1)}
       148:{1,4,7}:{(129,1),(130,1),(160,1)}
       149:{2,3,5,6}:{(131,1),(132,1),(135,1),(153,1),(162,1),(172,1)}
       150:{3,4,6}:{(132,1),(133,1),(136,1),(162,1),(163,1)}
       151:{1,4,5}:{(133,1),(134,1),(163,1)}
       152:{2,4,7}:{(135,1),(136,1),(162,1)}
       153:{2,3,6}:{(137,1),(139,1),(142,1)}
       154:{1,3,6}:{(138,1),(139,1),(143,1)}
       155:{3,4,6}:{(139,1),(140,1),(144,1),(167,1)}
       156:{1,2,4,5}:{(140,1),(141,1),(147,1),(151,1),(167,1),(169,1),(170,1),(174,1)}
       157:{1,2,3,5,7}:{(142,1),(143,1),(164,1),(168,1),(174,1)}
       158:{2,3,4,7}:{(142,1),(144,1),(152,1),(165,1),(168,1)}
       159:{1,3,4,7}:{(143,1),(144,1),(148,1),(166,1),(168,1)}
       160:{1,4,6}:{(145,1),(146,1),(148,1),(169,1)}
       161:{3,4,5}:{(146,1),(147,1),(167,1),(169,1)}
       162:{2,4,6}:{(149,1),(150,1),(152,1),(170,1)}
       163:{3,4,5}:{(150,1),(151,1),(167,1),(170,1)}
       164:{1,2,3,6}:{(153,1),(154,1),(157,1),(171,1)}
       165:{2,3,4,6}:{(153,1),(155,1),(158,1),(162,1),(171,1),(172,1)}
       166:{1,3,4,6}:{(154,1),(155,1),(159,1),(160,1),(171,1),(173,1)}
       167:{3,5}:{(155,1),(156,1)}
       168:{1,2,4,7}:{(157,1),(158,1),(159,1),(171,1)}
       169:{1,4,5}:{(160,1),(161,1),(173,1)}
       170:{2,4,5}:{(162,1),(163,1),(172,1)}
       171:{1,2,4,6}:{(164,1),(165,1),(166,1),(168,1),(174,1)}
       172:{2,3,5}:{(165,1),(167,1),(170,1),(174,1)}
       173:{1,3,5}:{(166,1),(167,1),(169,1),(174,1)}
       174:{1,2,5}:{(171,1),(172,1),(173,1)}

2090 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(18,1),(37,1),(38,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(24,1),(47,1)}
        2:{1,2,4,5,7}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,5,6}:{(1,1),(5,1),(12,1),(34,1),(37,1)}
        4:{3,4,5,7}:{(2,1),(10,1),(24,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(10,1)}
        6:{1,2,3,5,6,7}:{(3,1),(11,1),(24,1),(40,1),(41,1),(47,1),(48,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(30,1),(31,1),(34,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(16,1),(35,1),(52,1),(62,1)}
        9:{1,3,4,5,7}:{(4,1),(15,1),(17,1),(36,1),(52,1),(62,1)}
       10:{3,4,6}:{(4,1),(5,1),(12,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(13,1),(18,1),(49,1),(50,1)}
       12:{3,5,6}:{(7,1),(10,1),(24,1)}
       13:{1,2,4,5,7}:{(7,1),(11,1),(24,1),(43,1),(44,1),(47,1)}
       14:{1,2,3,4,7}:{(21,1),(25,1),(60,1)}
       15:{1,2,4,5,7}:{(8,1),(9,1),(25,1),(26,1),(45,1),(47,1),(60,1)}
       16:{2,3,4,6}:{(8,1),(10,1),(22,1),(26,1),(58,1)}
       17:{1,3,4,6}:{(9,1),(10,1),(23,1),(26,1),(58,1)}
       18:{3,4,6,7}:{(10,1),(11,1),(24,1)}
       19:{1,2,4,5,6,7}:{(13,1),(29,1),(49,1),(50,1),(51,1)}
       20:{3,4,5,6}:{(12,1),(30,1),(31,1),(32,1),(53,1)}
       21:{1,2,3,4,6}:{(14,1),(33,1),(37,1),(55,1)}
       22:{2,3,5,6}:{(12,1),(16,1),(30,1),(34,1),(35,1),(53,1)}
       23:{1,3,5,6}:{(12,1),(17,1),(31,1),(34,1),(36,1),(53,1)}
       24:{3,5,7}:{(12,1),(13,1),(18,1)}
       25:{1,2,3,5,7}:{(14,1),(15,1),(33,1),(37,1)}
       26:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(37,1)}
       27:{2,3,4,6,7}:{(16,1),(18,1),(35,1),(38,1),(49,1),(61,1),(62,1)}
       28:{1,3,4,6,7}:{(17,1),(18,1),(36,1),(38,1),(50,1),(61,1),(62,1)}
       29:{3,5,6,7}:{(19,1),(24,1),(39,1)}
       30:{2,4,5,6}:{(20,1),(22,1),(43,1)}
       31:{1,4,5,6}:{(20,1),(23,1),(44,1)}
       32:{3,4,5,7}:{(20,1),(24,1),(39,1),(43,1),(44,1),(59,1)}
       33:{1,2,3,5}:{(21,1),(45,1)}
       34:{1,2,5,6}:{(22,1),(23,1),(26,1),(47,1)}
       35:{2,3,5,7}:{(22,1),(24,1),(27,1),(43,1),(47,1),(59,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(28,1),(44,1),(47,1),(59,1)}
       37:{1,2,3,6}:{(25,1),(26,1)}
       38:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(47,1),(48,1),(60,1)}
       39:{3,4,6,7}:{(29,1),(32,1),(49,1),(50,1),(61,1)}
       40:{2,3,5,6,7}:{(29,1),(35,1),(49,1),(51,1),(61,1)}
       41:{1,3,5,6,7}:{(29,1),(36,1),(50,1),(51,1),(61,1)}
       42:{1,2,4,5,6}:{(30,1),(31,1),(34,1),(53,1),(54,1),(55,1)}
       43:{2,4,5,7}:{(30,1),(32,1),(35,1),(49,1)}
       44:{1,4,5,7}:{(31,1),(32,1),(36,1),(50,1)}
       45:{1,2,4,5}:{(33,1),(52,1),(55,1)}
       46:{1,2,3,5,6}:{(33,1),(34,1),(37,1),(53,1),(55,1),(56,1)}
       47:{1,2,5,7}:{(34,1),(35,1),(36,1),(38,1)}
       48:{1,2,3,6,7}:{(37,1),(38,1),(56,1),(61,1)}
       49:{2,4,6,7}:{(39,1),(40,1),(43,1)}
       50:{1,4,6,7}:{(39,1),(41,1),(44,1)}
       51:{1,2,5,6,7}:{(40,1),(41,1),(47,1),(57,1)}
       52:{3,4,5}:{(45,1),(58,1)}
       53:{3,5,6}:{(42,1),(58,1),(59,1)}
       54:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(47,1),(57,1),(59,1),(60,1)}
       55:{1,2,4,6}:{(45,1),(46,1),(58,1),(60,1)}
       56:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(59,1),(60,1)}
       57:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(54,1),(61,1)}
       58:{3,4,6}:{(52,1),(53,1),(55,1),(62,1)}
       59:{3,5,7}:{(53,1),(54,1),(61,1),(62,1)}
       60:{1,2,4,7}:{(55,1),(56,1),(62,1)}
       61:{3,6,7}:{(57,1),(59,1)}
       62:{3,4,7}:{(58,1),(59,1),(60,1)}

2091 :   0:{2,3,4,5,7}:{(4,1),(5,1),(28,1),(42,1),(97,1),(146,1),(150,1),(153,1),(188,1),(193,1)}
         1:{1,3,4,5,7}:{(6,1),(7,1),(34,1),(36,1),(89,1),(147,1),(152,1),(156,1),(188,1),(195,1)}
         2:{1,4,5,6,7}:{(8,1),(43,1),(162,1)}
         3:{2,4,5,6,7}:{(9,1),(47,1),(159,1)}
         4:{2,3,4,6}:{(0,1),(12,1),(13,1),(119,1),(179,1),(202,1),(204,1)}
         5:{1,2,4,5,7}:{(0,1),(13,1),(14,1),(50,1),(55,1),(111,1),(116,1),(120,1)}
         6:{1,3,4,6}:{(1,1),(17,1),(18,1),(126,1),(175,1),(202,1),(205,1)}
         7:{1,2,4,5,7}:{(1,1),(18,1),(19,1),(50,1),(63,1),(111,1),(123,1),(127,1)}
         8:{3,5,6,7}:{(2,1),(20,1),(22,1),(184,1)}
         9:{3,5,6,7}:{(3,1),(23,1),(24,1),(182,1)}
        10:{2,3,4,6,7}:{(4,1),(28,1),(29,1),(47,1),(102,1),(146,1),(160,1)}
        11:{3,4,5,6}:{(27,1),(30,1),(31,1),(87,1),(156,1),(196,1)}
        12:{2,3,5,6}:{(4,1),(28,1),(31,1),(32,1),(87,1),(97,1),(198,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(32,1),(33,1),(88,1)}
        14:{1,3,5,7}:{(5,1),(33,1),(34,1),(89,1),(188,1)}
        15:{1,3,4,6,7}:{(6,1),(36,1),(37,1),(43,1),(99,1),(152,1),(157,1)}
        16:{3,4,5,6}:{(35,1),(38,1),(39,1),(95,1),(150,1),(194,1)}
        17:{1,3,5,6}:{(6,1),(36,1),(38,1),(40,1),(89,1),(95,1),(197,1)}
        18:{1,2,4,6}:{(6,1),(7,1),(40,1),(41,1),(96,1)}
        19:{2,3,5,7}:{(7,1),(41,1),(42,1),(97,1),(188,1)}
        20:{3,4,6,7}:{(8,1),(35,1),(43,1),(44,1),(99,1),(194,1)}
        21:{1,3,5,6,7}:{(8,1),(36,1),(43,1),(45,1),(99,1),(148,1)}
        22:{2,5,6,7}:{(8,1),(44,1),(198,1)}
        23:{3,4,6,7}:{(9,1),(27,1),(46,1),(47,1),(102,1),(196,1)}
        24:{1,5,6,7}:{(9,1),(46,1),(197,1)}
        25:{2,3,5,6,7}:{(9,1),(28,1),(47,1),(48,1),(102,1),(154,1)}
        26:{1,2,3,5,7}:{(14,1),(19,1),(49,1),(50,1),(111,1)}
        27:{3,4,5,7}:{(11,1),(23,1),(53,1),(54,1),(115,1)}
        28:{2,3,5,7}:{(10,1),(12,1),(54,1),(55,1),(115,1),(183,1)}
        29:{1,2,4,6,7}:{(10,1),(13,1),(55,1),(56,1),(116,1)}
        30:{1,4,5,6}:{(11,1),(53,1),(57,1),(180,1),(205,1)}
        31:{2,4,5,6}:{(11,1),(12,1),(54,1),(127,1),(179,1)}
        32:{1,2,5,6}:{(12,1),(13,1),(55,1),(59,1),(111,1)}
        33:{1,3,6}:{(13,1),(14,1),(202,1)}
        34:{1,3,4,7}:{(14,1),(50,1),(60,1),(116,1),(165,1)}
        35:{3,4,5,7}:{(16,1),(20,1),(61,1),(62,1),(122,1)}
        36:{1,3,5,7}:{(15,1),(17,1),(61,1),(63,1),(122,1),(181,1)}
        37:{1,2,4,6,7}:{(15,1),(18,1),(63,1),(64,1),(123,1)}
        38:{1,4,5,6}:{(16,1),(17,1),(61,1),(120,1),(175,1)}
        39:{2,4,5,6}:{(16,1),(62,1),(65,1),(176,1),(204,1)}
        40:{1,2,5,6}:{(17,1),(18,1),(63,1),(67,1),(111,1)}
        41:{2,3,6}:{(18,1),(19,1),(202,1)}
        42:{2,3,4,7}:{(19,1),(50,1),(68,1),(123,1),(165,1)}
        43:{1,4,6,7}:{(20,1),(21,1),(61,1),(175,1)}
        44:{2,4,6,7}:{(20,1),(22,1),(62,1),(69,1),(204,1)}
        45:{1,2,5,6,7}:{(21,1),(22,1),(63,1),(70,1),(71,1),(167,1),(181,1)}
        46:{1,4,6,7}:{(23,1),(24,1),(53,1),(72,1),(205,1)}
        47:{2,4,6,7}:{(23,1),(25,1),(54,1),(179,1)}
        48:{1,2,5,6,7}:{(24,1),(25,1),(55,1),(73,1),(74,1),(167,1),(183,1)}
        49:{1,2,3,6}:{(26,1),(33,1),(41,1),(79,1)}
        50:{1,2,4,7}:{(26,1),(34,1),(42,1),(79,1)}
        51:{1,3,4,5}:{(76,1),(80,1),(144,1),(150,1),(192,1)}
        52:{2,3,4,5}:{(77,1),(81,1),(143,1),(156,1),(191,1)}
        53:{1,4,5,7}:{(27,1),(30,1),(46,1),(82,1)}
        54:{2,4,5,7}:{(27,1),(28,1),(31,1),(47,1)}
        55:{1,2,5,7}:{(28,1),(29,1),(32,1),(84,1)}
        56:{1,3,6,7}:{(29,1),(33,1),(84,1),(102,1)}
        57:{1,3,5,6}:{(30,1),(76,1),(82,1),(86,1),(87,1),(192,1),(208,1)}
        58:{1,2,4,5,6}:{(30,1),(31,1),(32,1),(83,1),(86,1),(87,1),(88,1),(141,1),(149,1),(162,1),(189,1),(198,1)}
        59:{1,3,5,6}:{(32,1),(33,1),(84,1),(87,1),(88,1),(89,1)}
        60:{1,3,4,6}:{(33,1),(34,1),(79,1),(88,1),(89,1),(140,1)}
        61:{1,4,5,7}:{(35,1),(36,1),(38,1),(43,1)}
        62:{2,4,5,7}:{(35,1),(39,1),(44,1),(90,1)}
        63:{1,2,5,7}:{(36,1),(37,1),(40,1),(92,1)}
        64:{2,3,6,7}:{(37,1),(41,1),(92,1),(99,1)}
        65:{2,3,5,6}:{(39,1),(77,1),(90,1),(94,1),(95,1),(191,1),(207,1)}
        66:{1,2,4,5,6}:{(38,1),(39,1),(40,1),(91,1),(94,1),(95,1),(96,1),(141,1),(155,1),(159,1),(189,1),(197,1)}
        67:{2,3,5,6}:{(40,1),(41,1),(92,1),(95,1),(96,1),(97,1)}
        68:{2,3,4,6}:{(41,1),(42,1),(79,1),(96,1),(97,1),(140,1)}
        69:{2,3,6,7}:{(44,1),(90,1),(98,1),(99,1),(207,1)}
        70:{1,2,4,6,7}:{(43,1),(44,1),(45,1),(91,1),(98,1),(99,1),(100,1),(157,1),(189,1)}
        71:{2,3,5,6,7}:{(45,1),(92,1),(99,1),(100,1),(154,1),(158,1)}
        72:{1,3,6,7}:{(46,1),(82,1),(101,1),(102,1),(208,1)}
        73:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(83,1),(101,1),(102,1),(103,1),(160,1),(189,1)}
        74:{1,3,5,6,7}:{(48,1),(84,1),(102,1),(103,1),(148,1),(161,1)}
        75:{1,2,3,6,7}:{(49,1),(56,1),(64,1),(106,1),(107,1),(128,1),(131,1),(202,1),(209,1)}
        76:{1,3,4,6}:{(51,1),(57,1),(104,1),(108,1),(119,1)}
        77:{2,3,4,6}:{(52,1),(65,1),(105,1),(109,1),(126,1)}
        78:{1,2,3,5,6}:{(49,1),(59,1),(67,1),(106,1),(110,1),(111,1),(118,1),(125,1),(167,1),(168,1),(171,1),(202,1),(203,1),(209,1)}
        79:{1,2,4,6}:{(49,1),(50,1),(60,1),(68,1),(111,1)}
        80:{1,2,4,5}:{(51,1),(108,1),(112,1),(172,1),(176,1),(203,1)}
        81:{1,2,4,5}:{(52,1),(109,1),(113,1),(172,1),(180,1),(203,1)}
        82:{1,3,5,7}:{(53,1),(57,1),(72,1),(104,1),(114,1),(115,1)}
        83:{1,2,4,5,7}:{(53,1),(54,1),(55,1),(58,1),(73,1),(114,1),(115,1),(116,1),(133,1),(173,1),(183,1)}
        84:{1,3,5,7}:{(55,1),(56,1),(59,1),(115,1),(116,1)}
        85:{1,3,4,6,7}:{(56,1),(60,1),(107,1),(116,1),(117,1),(132,1),(165,1),(175,1),(202,1)}
        86:{1,2,5,6}:{(57,1),(108,1),(114,1),(118,1),(203,1),(209,1)}
        87:{3,5,6}:{(58,1),(115,1),(119,1),(171,1),(202,1)}
        88:{1,4,6}:{(59,1),(116,1),(119,1),(120,1)}
        89:{1,3,5}:{(60,1),(111,1),(120,1),(171,1)}
        90:{2,3,5,7}:{(62,1),(65,1),(69,1),(105,1),(121,1),(122,1)}
        91:{1,2,4,5,7}:{(61,1),(62,1),(63,1),(66,1),(70,1),(121,1),(122,1),(123,1),(130,1),(177,1),(181,1)}
        92:{2,3,5,7}:{(63,1),(64,1),(67,1),(122,1),(123,1)}
        93:{2,3,4,6,7}:{(64,1),(68,1),(107,1),(123,1),(124,1),(129,1),(165,1),(179,1),(202,1)}
        94:{1,2,5,6}:{(65,1),(109,1),(121,1),(125,1),(203,1),(209,1)}
        95:{3,5,6}:{(66,1),(122,1),(126,1),(171,1),(202,1)}
        96:{2,4,6}:{(67,1),(123,1),(126,1),(127,1)}
        97:{2,3,5}:{(68,1),(111,1),(127,1),(171,1)}
        98:{1,2,6,7}:{(69,1),(121,1),(128,1),(209,1)}
        99:{3,6,7}:{(70,1),(122,1),(202,1)}
       100:{2,4,6,7}:{(71,1),(123,1),(129,1),(130,1),(179,1)}
       101:{1,2,6,7}:{(72,1),(114,1),(131,1),(209,1)}
       102:{3,6,7}:{(73,1),(115,1),(202,1)}
       103:{1,4,6,7}:{(74,1),(116,1),(132,1),(133,1),(175,1)}
       104:{1,3,4,7}:{(76,1),(82,1),(134,1),(146,1)}
       105:{2,3,4,7}:{(77,1),(90,1),(135,1),(152,1)}
       106:{1,2,3,5,7}:{(75,1),(78,1),(84,1),(92,1),(136,1),(137,1),(145,1),(151,1),(185,1),(188,1),(206,1)}
       107:{1,2,4,6,7}:{(75,1),(79,1),(85,1),(93,1),(136,1),(137,1),(157,1),(160,1),(189,1)}
       108:{1,2,4,6}:{(76,1),(80,1),(86,1),(134,1),(138,1),(149,1)}
       109:{1,2,4,6}:{(77,1),(81,1),(94,1),(135,1),(139,1),(155,1)}
       110:{1,2,4,6}:{(78,1),(88,1),(96,1),(136,1),(140,1),(141,1),(149,1),(155,1)}
       111:{1,2,5}:{(79,1),(89,1),(97,1)}
       112:{2,3,5}:{(80,1),(138,1),(143,1)}
       113:{1,3,5}:{(81,1),(139,1),(144,1)}
       114:{1,2,5,7}:{(82,1),(86,1),(101,1),(134,1),(145,1)}
       115:{3,5,7}:{(83,1),(87,1),(102,1),(146,1)}
       116:{1,4,7}:{(84,1),(88,1),(146,1)}
       117:{1,3,5,7}:{(85,1),(89,1),(137,1),(147,1),(148,1),(161,1),(188,1)}
       118:{2,3,5,6}:{(86,1),(87,1),(138,1),(145,1),(149,1),(191,1),(198,1),(207,1)}
       119:{3,4,6}:{(87,1),(88,1),(146,1),(149,1),(150,1)}
       120:{1,4,5}:{(88,1),(89,1),(150,1)}
       121:{1,2,5,7}:{(90,1),(94,1),(98,1),(135,1),(151,1)}
       122:{3,5,7}:{(91,1),(95,1),(99,1),(152,1)}
       123:{2,4,7}:{(92,1),(96,1),(152,1)}
       124:{2,3,5,7}:{(93,1),(97,1),(137,1),(153,1),(154,1),(158,1),(188,1)}
       125:{1,3,5,6}:{(94,1),(95,1),(139,1),(151,1),(155,1),(192,1),(197,1),(208,1)}
       126:{3,4,6}:{(95,1),(96,1),(152,1),(155,1),(156,1)}
       127:{2,4,5}:{(96,1),(97,1),(156,1)}
       128:{1,3,6,7}:{(98,1),(99,1),(151,1),(157,1),(208,1)}
       129:{3,4,6,7}:{(99,1),(100,1),(152,1),(157,1),(158,1),(196,1)}
       130:{2,4,5,7}:{(100,1),(158,1),(159,1)}
       131:{2,3,6,7}:{(101,1),(102,1),(145,1),(160,1),(207,1)}
       132:{3,4,6,7}:{(102,1),(103,1),(146,1),(160,1),(161,1),(194,1)}
       133:{1,4,5,7}:{(103,1),(161,1),(162,1)}
       134:{1,2,4,7}:{(104,1),(108,1),(114,1),(163,1),(173,1)}
       135:{1,2,4,7}:{(105,1),(109,1),(121,1),(164,1),(177,1)}
       136:{1,2,4,7}:{(106,1),(110,1),(116,1),(123,1),(165,1),(173,1),(177,1)}
       137:{1,2,5,7}:{(107,1),(111,1),(117,1),(124,1),(167,1),(181,1),(183,1)}
       138:{2,3,6}:{(108,1),(112,1),(163,1)}
       139:{1,3,6}:{(109,1),(113,1),(164,1)}
       140:{3,4,6}:{(110,1),(165,1),(171,1),(202,1)}
       141:{1,2,4,5}:{(110,1),(111,1),(120,1),(127,1),(171,1),(176,1),(180,1),(203,1)}
       142:{1,2,3,5}:{(112,1),(113,1),(168,1),(172,1),(203,1)}
       143:{2,3,4}:{(112,1),(172,1)}
       144:{1,3,4}:{(113,1),(172,1)}
       145:{2,3,5,7}:{(114,1),(115,1),(118,1),(131,1),(163,1),(173,1),(183,1)}
       146:{3,4,7}:{(115,1),(116,1),(119,1),(173,1)}
       147:{1,4,5,7}:{(116,1),(117,1),(120,1),(174,1),(175,1)}
       148:{1,3,5,6}:{(117,1),(167,1),(175,1),(184,1),(202,1)}
       149:{2,4,6}:{(118,1),(119,1),(173,1),(176,1)}
       150:{3,4,5}:{(119,1),(120,1),(171,1),(176,1)}
       151:{1,3,5,7}:{(121,1),(122,1),(125,1),(128,1),(164,1),(177,1),(181,1)}
       152:{3,4,7}:{(122,1),(123,1),(126,1),(177,1)}
       153:{2,4,5,7}:{(123,1),(124,1),(127,1),(178,1),(179,1)}
       154:{2,3,5,6}:{(124,1),(167,1),(179,1),(182,1),(202,1)}
       155:{1,4,6}:{(125,1),(126,1),(177,1),(180,1)}
       156:{3,4,5}:{(126,1),(127,1),(171,1),(180,1)}
       157:{1,4,6,7}:{(128,1),(129,1),(177,1),(181,1),(205,1)}
       158:{3,5,7}:{(129,1),(130,1),(181,1),(182,1)}
       159:{2,4,5,6}:{(130,1),(179,1),(182,1)}
       160:{2,4,6,7}:{(131,1),(132,1),(173,1),(183,1),(204,1)}
       161:{3,5,7}:{(132,1),(133,1),(183,1),(184,1)}
       162:{1,4,5,6}:{(133,1),(175,1),(184,1)}
       163:{2,3,7}:{(134,1),(138,1)}
       164:{1,3,7}:{(135,1),(139,1)}
       165:{3,4,7}:{(136,1),(140,1),(188,1)}
       166:{1,2,4,5,7}:{(136,1),(137,1),(141,1),(147,1),(153,1),(188,1),(189,1),(193,1),(195,1),(206,1)}
       167:{1,2,5,6}:{(137,1),(148,1),(154,1),(189,1),(197,1),(198,1)}
       168:{1,2,3,6}:{(138,1),(139,1),(142,1),(185,1),(190,1)}
       169:{2,3,4,6}:{(138,1),(140,1),(143,1),(149,1),(186,1),(190,1),(191,1),(207,1)}
       170:{1,3,4,6}:{(139,1),(140,1),(144,1),(155,1),(187,1),(190,1),(192,1),(208,1)}
       171:{3,5}:{(140,1),(141,1)}
       172:{1,2,4}:{(142,1),(143,1),(144,1)}
       173:{2,4,7}:{(145,1),(146,1),(149,1)}
       174:{3,4,5,7}:{(146,1),(147,1),(150,1),(161,1),(188,1),(193,1),(194,1)}
       175:{1,4,6}:{(147,1),(148,1),(194,1)}
       176:{2,4,5}:{(149,1),(150,1),(191,1)}
       177:{1,4,7}:{(151,1),(152,1),(155,1)}
       178:{3,4,5,7}:{(152,1),(153,1),(156,1),(158,1),(188,1),(195,1),(196,1)}
       179:{2,4,6}:{(153,1),(154,1),(196,1)}
       180:{1,4,5}:{(155,1),(156,1),(192,1)}
       181:{1,5,7}:{(157,1),(158,1),(197,1)}
       182:{3,5,6}:{(158,1),(159,1),(196,1),(197,1)}
       183:{2,5,7}:{(160,1),(161,1),(198,1)}
       184:{3,5,6}:{(161,1),(162,1),(194,1),(198,1)}
       185:{1,2,3,7}:{(163,1),(164,1),(168,1),(199,1)}
       186:{2,3,4,7}:{(163,1),(165,1),(169,1),(173,1),(199,1),(200,1)}
       187:{1,3,4,7}:{(164,1),(165,1),(170,1),(177,1),(199,1),(201,1)}
       188:{3,5,7}:{(165,1),(166,1),(171,1),(202,1)}
       189:{1,2,4,6}:{(166,1),(167,1),(175,1),(179,1),(202,1),(204,1),(205,1),(209,1)}
       190:{1,2,4,6}:{(168,1),(169,1),(170,1),(172,1),(199,1),(203,1),(209,1)}
       191:{2,3,5}:{(169,1),(171,1),(176,1),(203,1)}
       192:{1,3,5}:{(170,1),(171,1),(180,1),(203,1)}
       193:{2,4,5,7}:{(173,1),(174,1),(176,1),(183,1),(200,1),(204,1)}
       194:{3,4,6}:{(174,1),(175,1),(184,1),(202,1),(204,1)}
       195:{1,4,5,7}:{(177,1),(178,1),(180,1),(181,1),(201,1),(205,1)}
       196:{3,4,6}:{(178,1),(179,1),(182,1),(202,1),(205,1)}
       197:{1,5,6}:{(181,1),(182,1),(205,1)}
       198:{2,5,6}:{(183,1),(184,1),(204,1)}
       199:{1,2,4,7}:{(185,1),(186,1),(187,1),(190,1),(206,1)}
       200:{2,3,5,7}:{(186,1),(188,1),(191,1),(193,1),(206,1),(207,1)}
       201:{1,3,5,7}:{(187,1),(188,1),(192,1),(195,1),(206,1),(208,1)}
       202:{3,6}:{(188,1),(189,1)}
       203:{1,2,5}:{(190,1),(191,1),(192,1)}
       204:{2,4,6}:{(193,1),(194,1),(198,1),(207,1)}
       205:{1,4,6}:{(195,1),(196,1),(197,1),(208,1)}
       206:{1,2,5,7}:{(199,1),(200,1),(201,1),(203,1),(209,1)}
       207:{2,3,6}:{(200,1),(202,1),(204,1),(209,1)}
       208:{1,3,6}:{(201,1),(202,1),(205,1),(209,1)}
       209:{1,2,6}:{(206,1),(207,1),(208,1)}

2092 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(34,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(43,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(33,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(8,1),(20,1),(41,1),(42,1),(43,1),(45,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(20,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(28,1),(29,1),(33,1)}
        8:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(14,1),(47,1),(48,1)}
        9:{3,4,6}:{(5,1),(6,1),(13,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(31,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(32,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(38,1),(39,1),(43,1)}
       13:{3,5,6}:{(7,1),(9,1),(20,1)}
       14:{3,4,6,7}:{(8,1),(9,1),(20,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(21,1),(25,1),(57,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(22,1),(25,1),(57,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(43,1),(58,1),(59,1)}
       18:{3,4,5,6}:{(13,1),(27,1),(28,1),(29,1),(50,1)}
       19:{1,2,4,5,6,7}:{(12,1),(30,1),(47,1),(48,1),(51,1)}
       20:{3,5,7}:{(12,1),(13,1),(14,1)}
       21:{1,3,5,6}:{(13,1),(15,1),(28,1),(31,1),(33,1),(50,1)}
       22:{2,3,5,6}:{(13,1),(16,1),(29,1),(32,1),(33,1),(50,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(31,1),(34,1),(47,1),(60,1),(61,1)}
       24:{2,3,4,6,7}:{(14,1),(16,1),(32,1),(34,1),(48,1),(60,1),(61,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(33,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,4,5,7}:{(18,1),(20,1),(37,1),(38,1),(39,1),(56,1)}
       28:{1,4,5,6}:{(18,1),(21,1),(38,1)}
       29:{2,4,5,6}:{(18,1),(22,1),(39,1)}
       30:{3,5,6,7}:{(19,1),(20,1),(37,1)}
       31:{1,3,5,7}:{(20,1),(21,1),(23,1),(38,1),(43,1),(56,1)}
       32:{2,3,5,7}:{(20,1),(22,1),(24,1),(39,1),(43,1),(56,1)}
       33:{1,2,5,6}:{(21,1),(22,1),(25,1),(43,1)}
       34:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(43,1),(45,1),(58,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(58,1)}
       37:{3,4,6,7}:{(27,1),(30,1),(47,1),(48,1),(60,1)}
       38:{1,4,5,7}:{(27,1),(28,1),(31,1),(47,1)}
       39:{2,4,5,7}:{(27,1),(29,1),(32,1),(48,1)}
       40:{1,2,4,5,6}:{(28,1),(29,1),(33,1),(49,1),(50,1),(53,1)}
       41:{1,3,5,6,7}:{(30,1),(31,1),(47,1),(51,1),(60,1)}
       42:{2,3,5,6,7}:{(30,1),(32,1),(48,1),(51,1),(60,1)}
       43:{1,2,5,7}:{(31,1),(32,1),(33,1),(34,1)}
       44:{1,2,3,5,6}:{(33,1),(35,1),(50,1),(52,1),(53,1),(54,1)}
       45:{1,2,3,6,7}:{(34,1),(35,1),(52,1),(60,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(41,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(42,1)}
       49:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(55,1),(56,1),(58,1)}
       50:{3,5,6}:{(40,1),(56,1),(57,1)}
       51:{1,2,5,6,7}:{(41,1),(42,1),(43,1),(55,1)}
       52:{1,2,3,5,7}:{(43,1),(44,1),(45,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(44,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(51,1),(60,1)}
       56:{3,5,7}:{(49,1),(50,1),(60,1),(61,1)}
       57:{3,4,6}:{(50,1),(53,1),(61,1),(62,1)}
       58:{1,2,4,7}:{(52,1),(53,1),(61,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(57,1),(59,1)}

2093 :  0:{1,2,3,4,7}:{(1,1),(2,1),(33,1),(56,1)}
        1:{1,2,3,4,6}:{(0,1),(5,1),(7,1),(18,1),(20,1),(42,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        3:{1,3,4,5,7}:{(6,1),(8,1),(19,1),(25,1),(46,1)}
        4:{2,3,4,5,7}:{(6,1),(9,1),(19,1),(27,1),(46,1)}
        5:{1,2,3,5}:{(1,1),(10,1)}
        6:{1,2,4,5,7}:{(2,1),(3,1),(4,1),(10,1),(12,1),(33,1),(34,1)}
        7:{1,2,3,6}:{(2,1),(12,1)}
        8:{1,3,4,6}:{(3,1),(12,1),(14,1),(31,1)}
        9:{2,3,4,6}:{(4,1),(12,1),(16,1),(31,1)}
       10:{1,2,4,5}:{(5,1),(19,1),(20,1)}
       11:{1,2,3,5,6}:{(5,1),(7,1),(20,1),(21,1),(22,1),(42,1),(45,1),(69,1)}
       12:{1,2,4,6}:{(6,1),(7,1),(8,1),(9,1),(22,1)}
       13:{1,2,3,6,7}:{(7,1),(21,1),(23,1),(73,1),(83,1)}
       14:{1,3,5,6}:{(8,1),(22,1),(24,1),(25,1),(45,1)}
       15:{1,3,4,6,7}:{(8,1),(23,1),(25,1),(46,1),(51,1),(73,1)}
       16:{2,3,5,6}:{(9,1),(22,1),(26,1),(27,1),(45,1)}
       17:{2,3,4,6,7}:{(9,1),(23,1),(27,1),(46,1),(54,1),(73,1)}
       18:{1,2,3,4}:{(28,1)}
       19:{3,4,5}:{(10,1),(31,1)}
       20:{1,2,4,6}:{(10,1),(11,1),(31,1),(33,1)}
       21:{1,2,3,5,7}:{(11,1),(13,1),(33,1),(34,1),(56,1),(61,1),(78,1)}
       22:{1,2,5,6}:{(12,1),(14,1),(16,1),(34,1)}
       23:{1,2,4,6,7}:{(12,1),(13,1),(15,1),(17,1),(33,1),(34,1)}
       24:{1,4,5,6}:{(14,1),(35,1),(36,1)}
       25:{1,3,5,7}:{(14,1),(15,1),(34,1),(36,1),(61,1)}
       26:{2,4,5,6}:{(16,1),(38,1),(39,1)}
       27:{2,3,5,7}:{(16,1),(17,1),(34,1),(39,1),(61,1)}
       28:{1,2,3,5}:{(18,1),(41,1),(42,1)}
       29:{1,3,4,5}:{(19,1),(41,1),(43,1)}
       30:{2,3,4,5}:{(19,1),(41,1),(44,1)}
       31:{3,4,6}:{(19,1),(20,1),(45,1),(46,1)}
       32:{1,2,4,5,6}:{(20,1),(22,1),(24,1),(26,1),(45,1),(47,1),(49,1),(52,1),(69,1)}
       33:{1,2,4,7}:{(20,1),(21,1),(46,1)}
       34:{1,2,5,7}:{(22,1),(23,1),(25,1),(27,1)}
       35:{3,4,5,6}:{(24,1),(45,1),(49,1),(50,1)}
       36:{1,4,5,7}:{(24,1),(25,1),(50,1),(51,1)}
       37:{1,3,5,6,7}:{(25,1),(48,1),(51,1),(73,1),(74,1)}
       38:{3,4,5,6}:{(26,1),(45,1),(52,1),(53,1)}
       39:{2,4,5,7}:{(26,1),(27,1),(53,1),(54,1)}
       40:{2,3,5,6,7}:{(27,1),(48,1),(54,1),(73,1),(76,1)}
       41:{1,2,4,5}:{(28,1),(29,1),(30,1),(55,1)}
       42:{1,2,3,6}:{(28,1),(55,1),(56,1)}
       43:{1,3,4,6}:{(29,1),(31,1),(55,1),(57,1),(58,1)}
       44:{2,3,4,6}:{(30,1),(31,1),(55,1),(59,1),(60,1)}
       45:{3,5,6}:{(31,1),(32,1),(61,1)}
       46:{3,4,7}:{(31,1),(33,1),(61,1)}
       47:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(36,1),(39,1),(61,1),(62,1),(64,1),(67,1),(78,1)}
       48:{1,2,5,6,7}:{(34,1),(37,1),(40,1),(62,1),(81,1),(82,1)}
       49:{2,4,5,6}:{(35,1),(59,1),(64,1)}
       50:{3,4,5,7}:{(35,1),(36,1),(61,1),(64,1),(65,1)}
       51:{1,4,6,7}:{(36,1),(37,1),(65,1)}
       52:{1,4,5,6}:{(38,1),(57,1),(67,1)}
       53:{3,4,5,7}:{(38,1),(39,1),(61,1),(67,1),(68,1)}
       54:{2,4,6,7}:{(39,1),(40,1),(68,1)}
       55:{1,2,4,6}:{(41,1),(42,1),(43,1),(44,1),(69,1),(70,1)}
       56:{1,2,3,7}:{(42,1),(70,1)}
       57:{1,3,5,6}:{(43,1),(45,1),(52,1),(69,1),(71,1)}
       58:{1,3,4,7}:{(43,1),(46,1),(70,1),(71,1)}
       59:{2,3,5,6}:{(44,1),(45,1),(49,1),(69,1),(72,1)}
       60:{2,3,4,7}:{(44,1),(46,1),(70,1),(72,1)}
       61:{3,5,7}:{(45,1),(46,1),(47,1),(73,1)}
       62:{1,2,4,6,7}:{(47,1),(48,1),(51,1),(54,1),(73,1),(75,1),(77,1),(83,1)}
       63:{1,4,5,6,7}:{(51,1),(74,1)}
       64:{2,4,5,7}:{(49,1),(50,1),(72,1),(75,1)}
       65:{3,4,6,7}:{(50,1),(51,1),(73,1),(74,1),(75,1)}
       66:{2,4,5,6,7}:{(54,1),(76,1)}
       67:{1,4,5,7}:{(52,1),(53,1),(71,1),(77,1)}
       68:{3,4,6,7}:{(53,1),(54,1),(73,1),(76,1),(77,1)}
       69:{1,2,5,6}:{(55,1),(57,1),(59,1),(78,1)}
       70:{1,2,4,7}:{(55,1),(56,1),(58,1),(60,1),(78,1)}
       71:{1,3,5,7}:{(57,1),(58,1),(61,1),(67,1),(78,1),(79,1)}
       72:{2,3,5,7}:{(59,1),(60,1),(61,1),(64,1),(78,1),(80,1)}
       73:{3,6,7}:{(61,1),(62,1)}
       74:{3,5,6,7}:{(63,1),(65,1),(81,1)}
       75:{2,4,6,7}:{(64,1),(65,1),(80,1),(81,1)}
       76:{3,5,6,7}:{(66,1),(68,1),(82,1)}
       77:{1,4,6,7}:{(67,1),(68,1),(79,1),(82,1)}
       78:{1,2,5,7}:{(69,1),(70,1),(71,1),(72,1),(83,1)}
       79:{1,3,6,7}:{(71,1),(73,1),(77,1),(83,1)}
       80:{2,3,6,7}:{(72,1),(73,1),(75,1),(83,1)}
       81:{2,5,6,7}:{(74,1),(75,1)}
       82:{1,5,6,7}:{(76,1),(77,1)}
       83:{1,2,6,7}:{(78,1),(79,1),(80,1)}

2094 :  0:{1,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,3,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,4,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,2,4,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,5,7}:{(4,1),(8,1),(9,1)}
        7:{1,3,4,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,2,4,5,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,6}:{(6,1),(12,1),(27,1)}
       10:{1,2,3,4,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{1,3,5,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6}:{(8,1),(9,1),(16,1),(23,1)}
       13:{2,3,4,5,6,7}:{(9,1),(17,1),(32,1)}
       14:{1,2,3,5,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{1,3,4,5,7}:{(11,1),(18,1),(20,1)}
       16:{1,3,5,6}:{(11,1),(12,1),(20,1)}
       17:{1,2,4,5,6,7}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,2,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(14,1),(16,1),(23,1),(31,1)}
       20:{1,3,4,6}:{(15,1),(16,1),(23,1)}
       21:{1,3,5,6,7}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,5,7}:{(18,1),(27,1),(34,1)}
       23:{1,2,4,6}:{(18,1),(19,1),(20,1),(27,1)}
       24:{1,2,3,5,6,7}:{(19,1),(21,1),(29,1),(34,1)}
       25:{1,3,4,5,6}:{(20,1),(28,1),(30,1)}
       26:{1,3,4,6,7}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,4,6}:{(22,1),(23,1),(31,1)}
       28:{1,2,4,5,6}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{1,3,4,5,7}:{(25,1),(26,1),(33,1)}
       31:{2,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{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:{2,3,5,7}:{(31,1),(32,1),(33,1)}

2095 :   0:{2,3,4,5,6}:{(2,1),(3,1),(32,1),(61,1),(71,1)}
         1:{1,2,3,4,6}:{(4,1),(5,1),(21,1),(23,1)}
         2:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(21,1),(49,1),(55,1)}
         3:{2,3,4,5,7}:{(0,1),(8,1),(9,1),(47,1),(78,1),(90,1)}
         4:{1,2,3,4,7}:{(1,1),(12,1),(35,1)}
         5:{1,2,3,5}:{(1,1),(10,1)}
         6:{1,3,4,5}:{(10,1),(15,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(16,1)}
         8:{1,2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(35,1),(65,1),(72,1)}
         9:{2,3,4,6,7}:{(3,1),(17,1),(18,1),(73,1)}
        10:{1,2,4,5}:{(5,1),(6,1),(19,1),(21,1)}
        11:{1,2,3,4,6,7}:{(4,1),(22,1),(23,1),(50,1),(52,1),(82,1),(86,1),(120,1),(121,1)}
        12:{1,2,3,5,7}:{(4,1),(5,1),(20,1),(23,1)}
        13:{1,2,3,5,6}:{(5,1),(7,1),(21,1),(23,1),(24,1),(45,1),(49,1)}
        14:{1,3,4,5,7}:{(6,1),(20,1),(26,1),(27,1),(51,1),(56,1)}
        15:{1,3,4,6}:{(6,1),(7,1),(21,1),(27,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(27,1),(28,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(28,1),(29,1),(57,1)}
        18:{2,3,5,6,7}:{(9,1),(29,1),(30,1),(58,1),(78,1)}
        19:{2,3,4,5}:{(10,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(12,1),(14,1),(31,1),(34,1),(35,1),(65,1)}
        21:{1,2,4,6}:{(10,1),(13,1),(15,1),(32,1),(35,1)}
        22:{1,2,3,5,7}:{(11,1),(36,1),(37,1),(65,1),(101,1),(135,1)}
        23:{1,2,3,6}:{(12,1),(34,1)}
        24:{1,2,3,5,7}:{(13,1),(16,1),(35,1),(38,1),(60,1),(65,1)}
        25:{1,3,4,5,6}:{(15,1),(33,1),(39,1),(40,1),(95,1)}
        26:{1,3,4,6}:{(14,1),(34,1),(40,1),(68,1)}
        27:{1,3,4,7}:{(15,1),(16,1),(35,1)}
        28:{1,3,6,7}:{(16,1),(17,1)}
        29:{1,2,5,6,7}:{(17,1),(18,1),(42,1),(65,1)}
        30:{2,4,5,6,7}:{(18,1),(44,1),(96,1)}
        31:{2,3,4,5,7}:{(19,1),(20,1),(46,1),(47,1),(51,1),(78,1)}
        32:{2,3,4,6}:{(19,1),(21,1),(45,1),(47,1)}
        33:{1,2,4,5,6}:{(21,1),(25,1),(45,1),(48,1),(49,1),(77,1)}
        34:{1,2,4,6}:{(20,1),(23,1),(26,1),(46,1),(49,1)}
        35:{1,2,4,7}:{(21,1),(24,1),(27,1),(47,1)}
        36:{1,2,4,5,7}:{(22,1),(51,1),(52,1)}
        37:{1,2,3,5,6}:{(22,1),(23,1),(49,1),(52,1),(80,1),(117,1),(120,1)}
        38:{1,2,3,6,7}:{(23,1),(24,1),(28,1),(50,1),(76,1)}
        39:{1,3,4,5,7}:{(25,1),(27,1),(48,1),(54,1),(56,1),(114,1)}
        40:{1,3,5,6}:{(26,1),(49,1),(55,1),(56,1),(80,1)}
        41:{1,3,4,6,7}:{(26,1),(27,1),(28,1),(50,1),(56,1),(57,1),(86,1)}
        42:{1,3,5,6,7}:{(28,1),(29,1),(56,1),(57,1),(58,1)}
        43:{1,2,4,5,6,7}:{(29,1),(30,1),(57,1),(58,1),(59,1),(81,1),(91,1),(93,1)}
        44:{3,4,5,6,7}:{(30,1),(58,1),(59,1),(114,1)}
        45:{2,3,5,6}:{(32,1),(33,1),(60,1)}
        46:{2,3,4,6}:{(31,1),(34,1),(61,1),(68,1)}
        47:{2,3,4,7}:{(32,1),(35,1),(60,1)}
        48:{1,2,4,5,7}:{(33,1),(35,1),(39,1),(60,1),(63,1),(65,1),(96,1)}
        49:{1,2,5,6}:{(34,1),(40,1),(61,1),(65,1)}
        50:{1,2,4,6,7}:{(34,1),(35,1),(38,1),(41,1),(62,1),(65,1)}
        51:{3,4,5,7}:{(36,1),(68,1),(101,1)}
        52:{1,2,4,6}:{(36,1),(37,1),(68,1)}
        53:{1,2,3,5,6,7}:{(37,1),(38,1),(42,1),(65,1),(69,1),(74,1),(94,1),(101,1),(132,1),(135,1),(136,1)}
        54:{1,3,4,6,7}:{(39,1),(63,1),(70,1),(127,1)}
        55:{1,4,5,6}:{(40,1),(71,1),(72,1)}
        56:{1,3,5,7}:{(40,1),(41,1),(65,1),(72,1),(101,1)}
        57:{1,4,6,7}:{(42,1),(72,1),(73,1)}
        58:{3,5,6,7}:{(43,1),(73,1),(101,1)}
        59:{1,4,5,6,7}:{(44,1),(75,1),(130,1)}
        60:{2,3,5,7}:{(45,1),(47,1),(48,1),(76,1)}
        61:{2,3,5,6}:{(46,1),(49,1),(77,1),(78,1),(80,1)}
        62:{2,3,4,6,7}:{(46,1),(47,1),(50,1),(76,1),(78,1),(86,1),(111,1)}
        63:{1,2,4,6,7}:{(48,1),(54,1),(76,1),(79,1),(111,1)}
        64:{1,2,4,5,6}:{(49,1),(52,1),(55,1),(77,1),(80,1),(81,1),(88,1),(113,1),(117,1)}
        65:{1,2,5,7}:{(49,1),(50,1),(56,1),(78,1)}
        66:{2,3,4,5,7}:{(51,1),(83,1),(84,1),(118,1),(123,1),(147,1)}
        67:{1,3,4,5,7}:{(51,1),(83,1),(85,1),(119,1),(141,1),(153,1)}
        68:{3,4,6}:{(51,1),(52,1),(80,1)}
        69:{1,2,4,6,7}:{(52,1),(53,1),(57,1),(81,1),(86,1),(91,1),(111,1),(140,1)}
        70:{1,3,5,6,7}:{(54,1),(56,1),(79,1),(87,1),(115,1)}
        71:{3,4,5,6}:{(55,1),(80,1),(88,1),(90,1)}
        72:{1,4,5,7}:{(55,1),(56,1),(57,1),(90,1)}
        73:{3,4,6,7}:{(57,1),(58,1),(90,1),(91,1)}
        74:{2,3,5,6,7}:{(58,1),(91,1),(93,1),(118,1),(126,1)}
        75:{1,3,5,6,7}:{(58,1),(59,1),(92,1),(93,1),(119,1)}
        76:{2,3,6,7}:{(60,1),(63,1)}
        77:{2,4,5,6}:{(61,1),(95,1),(96,1)}
        78:{2,3,5,7}:{(61,1),(62,1),(65,1),(96,1),(101,1)}
        79:{1,2,5,6,7}:{(63,1),(65,1),(70,1),(94,1)}
        80:{3,5,6}:{(64,1),(68,1),(101,1)}
        81:{1,2,4,5,7}:{(64,1),(65,1),(69,1),(72,1),(96,1),(101,1),(108,1),(130,1),(135,1)}
        82:{1,2,3,4,7}:{(98,1),(102,1),(151,1)}
        83:{1,2,4,5,7}:{(66,1),(67,1),(102,1),(103,1),(133,1),(135,1),(151,1)}
        84:{2,3,4,6}:{(66,1),(68,1),(99,1),(103,1)}
        85:{1,3,4,6}:{(67,1),(68,1),(100,1),(103,1)}
        86:{3,4,6,7}:{(68,1),(69,1),(101,1)}
        87:{1,4,5,6,7}:{(70,1),(72,1),(106,1)}
        88:{2,4,5,6}:{(71,1),(99,1),(108,1)}
        89:{1,3,4,5,6}:{(71,1),(100,1),(107,1),(109,1),(149,1)}
        90:{3,4,5,7}:{(71,1),(72,1),(73,1),(101,1),(108,1)}
        91:{2,4,6,7}:{(73,1),(74,1),(108,1)}
        92:{1,3,4,6,7}:{(73,1),(75,1),(109,1),(110,1)}
        93:{1,2,5,6,7}:{(74,1),(75,1),(110,1),(135,1)}
        94:{2,3,5,6,7}:{(76,1),(78,1),(79,1),(111,1),(115,1)}
        95:{3,4,5,6}:{(77,1),(80,1),(113,1),(114,1)}
        96:{2,4,5,7}:{(77,1),(78,1),(111,1),(114,1)}
        97:{1,2,4,5,6,7}:{(79,1),(81,1),(87,1),(111,1),(115,1),(122,1),(140,1),(144,1)}
        98:{1,2,3,4,6}:{(82,1),(116,1),(120,1),(145,1)}
        99:{2,3,5,6}:{(80,1),(84,1),(88,1),(117,1),(118,1)}
       100:{1,3,5,6}:{(80,1),(85,1),(113,1),(117,1),(119,1)}
       101:{3,5,7}:{(80,1),(81,1),(86,1)}
       102:{1,2,3,5,7}:{(82,1),(83,1),(116,1),(120,1)}
       103:{1,2,4,6}:{(83,1),(84,1),(85,1),(117,1),(120,1)}
       104:{2,3,4,6,7}:{(84,1),(86,1),(91,1),(118,1),(121,1),(126,1),(147,1)}
       105:{1,3,4,6,7}:{(85,1),(86,1),(119,1),(121,1),(140,1),(152,1),(153,1)}
       106:{3,4,5,6,7}:{(87,1),(90,1),(115,1),(122,1)}
       107:{1,2,4,5,6}:{(88,1),(89,1),(117,1),(124,1),(125,1),(145,1)}
       108:{2,4,5,7}:{(88,1),(90,1),(91,1),(118,1)}
       109:{1,3,4,5,7}:{(89,1),(90,1),(92,1),(119,1),(125,1),(153,1)}
       110:{1,2,4,6,7}:{(91,1),(92,1),(93,1),(125,1),(126,1)}
       111:{2,4,6,7}:{(94,1),(96,1),(127,1)}
       112:{2,3,4,5,6}:{(95,1),(99,1),(128,1),(129,1),(137,1)}
       113:{1,4,5,6}:{(95,1),(100,1),(130,1)}
       114:{3,4,5,7}:{(95,1),(96,1),(101,1),(127,1),(130,1)}
       115:{3,5,6,7}:{(97,1),(101,1),(127,1)}
       116:{1,2,3,5}:{(98,1),(133,1)}
       117:{1,2,5,6}:{(99,1),(100,1),(103,1),(135,1)}
       118:{2,3,5,7}:{(99,1),(101,1),(104,1),(108,1),(135,1)}
       119:{1,3,5,7}:{(100,1),(101,1),(105,1),(130,1),(135,1)}
       120:{1,2,3,6}:{(102,1),(103,1)}
       121:{1,2,4,6,7}:{(103,1),(104,1),(105,1),(135,1),(136,1),(151,1)}
       122:{2,4,5,6,7}:{(106,1),(108,1),(131,1)}
       123:{2,3,4,5}:{(133,1),(137,1)}
       124:{2,3,5,6}:{(107,1),(137,1),(138,1)}
       125:{1,2,4,5,7}:{(107,1),(108,1),(109,1),(110,1),(135,1),(138,1),(151,1)}
       126:{2,3,6,7}:{(110,1),(138,1)}
       127:{3,4,6,7}:{(111,1),(114,1),(115,1),(140,1)}
       128:{1,2,4,5,6}:{(112,1),(113,1),(117,1),(142,1),(143,1),(145,1)}
       129:{2,3,4,5,7}:{(112,1),(114,1),(118,1),(139,1),(143,1),(147,1)}
       130:{1,4,5,7}:{(113,1),(114,1),(119,1),(140,1)}
       131:{2,3,5,6,7}:{(115,1),(118,1),(122,1),(139,1),(144,1)}
       132:{1,3,5,6,7}:{(115,1),(119,1),(140,1),(144,1),(152,1)}
       133:{1,2,4,5}:{(116,1),(123,1),(141,1),(145,1)}
       134:{1,2,3,5,6}:{(116,1),(117,1),(120,1),(124,1),(142,1),(145,1),(146,1)}
       135:{1,2,5,7}:{(117,1),(118,1),(119,1),(121,1)}
       136:{1,2,3,6,7}:{(120,1),(121,1),(126,1),(146,1),(152,1)}
       137:{2,3,4,6}:{(123,1),(124,1),(145,1),(147,1)}
       138:{2,3,5,7}:{(124,1),(125,1),(126,1),(147,1)}
       139:{2,3,4,6,7}:{(127,1),(129,1),(131,1),(148,1)}
       140:{1,4,6,7}:{(127,1),(130,1),(132,1)}
       141:{1,3,4,5}:{(133,1),(149,1)}
       142:{1,3,5,6}:{(128,1),(149,1),(150,1)}
       143:{1,2,4,5,7}:{(128,1),(129,1),(130,1),(135,1),(148,1),(150,1),(151,1)}
       144:{1,2,5,6,7}:{(131,1),(132,1),(135,1),(148,1)}
       145:{1,2,4,6}:{(133,1),(134,1),(137,1),(149,1),(151,1)}
       146:{1,2,3,5,7}:{(134,1),(135,1),(136,1),(138,1),(150,1),(151,1)}
       147:{2,3,4,7}:{(137,1),(138,1),(151,1)}
       148:{1,2,4,6,7}:{(139,1),(140,1),(143,1),(144,1),(152,1)}
       149:{1,3,4,6}:{(141,1),(142,1),(145,1),(153,1)}
       150:{1,3,5,7}:{(142,1),(143,1),(152,1),(153,1)}
       151:{1,2,4,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{1,3,6,7}:{(148,1),(150,1)}
       153:{1,3,4,7}:{(149,1),(150,1),(151,1)}

2096 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(68,1),(75,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(30,1),(55,1),(62,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(60,1),(63,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(50,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(47,1),(51,1)}
         5:{1,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(31,1),(56,1),(60,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(37,1),(80,1)}
         8:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(37,1),(55,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(38,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{1,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(44,1),(47,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(24,1),(90,1)}
        15:{2,4,5,6,7}:{(7,1),(8,1),(67,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(47,1)}
        17:{1,3,6,7}:{(9,1),(10,1)}
        18:{1,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{1,3,4,5}:{(11,1),(23,1)}
        20:{2,3,4,6}:{(13,1),(30,1),(31,1),(56,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(34,1),(56,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(30,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(31,1)}
        24:{1,3,5,6,7}:{(14,1),(32,1),(36,1),(37,1),(83,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(36,1),(37,1),(38,1),(59,1),(61,1)}
        26:{1,3,5,6,7}:{(16,1),(17,1),(37,1),(38,1),(39,1)}
        27:{1,3,4,6,7}:{(17,1),(18,1),(34,1),(38,1),(39,1),(40,1),(58,1)}
        28:{1,3,4,5,7}:{(18,1),(19,1),(35,1),(39,1),(40,1),(80,1)}
        29:{1,3,4,5,6}:{(41,1),(42,1),(75,1),(87,1),(94,1)}
        30:{2,3,4,7}:{(20,1),(22,1),(44,1)}
        31:{2,3,5}:{(20,1),(23,1)}
        32:{1,3,4,6,7}:{(24,1),(41,1),(45,1),(50,1)}
        33:{1,2,3,5,6,7}:{(21,1),(26,1),(46,1),(47,1),(49,1),(68,1),(69,1),(72,1),(93,1),(94,1)}
        34:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(43,1),(47,1),(48,1)}
        35:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(44,1),(47,1),(48,1),(67,1)}
        36:{1,2,5,6,7}:{(24,1),(45,1),(49,1),(93,1)}
        37:{3,5,6,7}:{(25,1),(50,1),(72,1)}
        38:{1,4,6,7}:{(26,1),(50,1),(51,1)}
        39:{1,3,5,7}:{(27,1),(47,1),(51,1),(52,1),(72,1)}
        40:{1,3,4,6}:{(28,1),(48,1),(52,1),(92,1)}
        41:{1,3,4,5,7}:{(29,1),(32,1),(53,1),(62,1),(83,1),(96,1)}
        42:{1,2,4,5,6}:{(29,1),(53,1),(54,1),(77,1),(86,1),(101,1)}
        43:{2,3,4,6,7}:{(30,1),(34,1),(55,1),(56,1),(58,1),(81,1)}
        44:{2,3,5,7}:{(30,1),(31,1),(35,1),(56,1)}
        45:{1,2,4,6,7}:{(32,1),(36,1),(53,1),(57,1),(61,1)}
        46:{1,2,4,6,7}:{(33,1),(38,1),(58,1),(59,1),(61,1),(81,1),(99,1)}
        47:{1,2,5,7}:{(34,1),(39,1),(55,1),(60,1)}
        48:{1,2,4,6}:{(35,1),(40,1),(56,1),(60,1),(81,1)}
        49:{2,3,5,6,7}:{(36,1),(37,1),(57,1),(61,1),(84,1)}
        50:{3,4,6,7}:{(37,1),(38,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(62,1),(63,1)}
        52:{1,3,5,6}:{(39,1),(40,1),(60,1),(63,1),(85,1)}
        53:{1,2,4,5,7}:{(41,1),(42,1),(45,1),(65,1),(74,1),(88,1),(93,1)}
        54:{2,3,5,6}:{(42,1),(65,1),(66,1)}
        55:{2,3,5,7}:{(43,1),(47,1),(67,1),(68,1),(72,1)}
        56:{2,3,6}:{(44,1),(48,1)}
        57:{2,3,6,7}:{(45,1),(65,1)}
        58:{3,4,6,7}:{(46,1),(72,1),(92,1)}
        59:{1,2,4,5,7}:{(46,1),(47,1),(51,1),(67,1),(72,1),(73,1),(74,1),(90,1),(93,1)}
        60:{1,2,5,6}:{(47,1),(48,1),(52,1),(68,1)}
        61:{2,4,6,7}:{(49,1),(50,1),(74,1)}
        62:{3,4,5,7}:{(50,1),(51,1),(72,1),(74,1),(75,1)}
        63:{1,4,5,6}:{(51,1),(52,1),(75,1)}
        64:{1,2,3,5,6}:{(54,1),(76,1),(77,1),(97,1),(101,1),(104,1)}
        65:{2,3,5,7}:{(53,1),(54,1),(57,1),(78,1)}
        66:{2,3,4,6}:{(54,1),(77,1),(78,1),(79,1)}
        67:{2,4,5,7}:{(55,1),(80,1),(81,1)}
        68:{2,3,5,6}:{(55,1),(56,1),(60,1),(81,1),(85,1)}
        69:{1,2,3,6,7}:{(57,1),(76,1),(82,1),(104,1)}
        70:{1,3,4,6,7}:{(58,1),(82,1),(83,1),(96,1),(99,1),(104,1)}
        71:{2,3,4,6,7}:{(57,1),(58,1),(61,1),(78,1),(82,1),(84,1),(100,1)}
        72:{3,5,7}:{(58,1),(59,1),(85,1)}
        73:{1,2,4,5,6}:{(59,1),(60,1),(63,1),(81,1),(85,1),(86,1),(99,1),(101,1)}
        74:{2,4,5,7}:{(61,1),(62,1),(84,1),(86,1)}
        75:{3,4,5,6}:{(62,1),(63,1),(85,1),(86,1)}
        76:{1,2,3,5,7}:{(64,1),(65,1),(69,1),(88,1),(93,1),(102,1)}
        77:{1,2,4,6}:{(64,1),(66,1),(87,1),(88,1),(89,1)}
        78:{2,3,4,7}:{(65,1),(66,1),(88,1)}
        79:{2,3,4,5}:{(66,1),(89,1)}
        80:{3,4,5,7}:{(67,1),(72,1),(90,1),(92,1)}
        81:{2,4,6}:{(67,1),(68,1),(92,1)}
        82:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(88,1),(93,1),(103,1)}
        83:{1,3,5,7}:{(70,1),(72,1),(90,1),(93,1),(94,1)}
        84:{2,3,5,7}:{(71,1),(72,1),(74,1),(93,1),(95,1)}
        85:{3,5,6}:{(72,1),(73,1),(92,1)}
        86:{2,4,5,6}:{(74,1),(75,1),(95,1)}
        87:{1,3,4,6}:{(77,1),(96,1),(97,1),(104,1)}
        88:{1,2,4,7}:{(76,1),(77,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(77,1),(79,1),(97,1)}
        90:{1,4,5,7}:{(80,1),(83,1),(99,1)}
        91:{2,3,4,5,7}:{(78,1),(79,1),(80,1),(84,1),(98,1),(100,1)}
        92:{3,4,6}:{(80,1),(81,1),(85,1),(99,1)}
        93:{1,2,5,7}:{(82,1),(83,1),(84,1),(101,1)}
        94:{1,3,5,6}:{(83,1),(85,1),(99,1),(101,1),(104,1)}
        95:{2,3,5,6}:{(84,1),(85,1),(86,1),(100,1),(101,1)}
        96:{1,3,4,7}:{(87,1),(88,1),(102,1)}
        97:{1,3,5}:{(87,1),(89,1)}
        98:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{1,4,6}:{(90,1),(92,1),(94,1)}
       100:{2,3,4,6}:{(91,1),(92,1),(95,1),(103,1)}
       101:{1,2,5,6}:{(93,1),(94,1),(95,1),(103,1)}
       102:{1,3,5,7}:{(96,1),(97,1),(98,1),(104,1)}
       103:{1,2,4,6}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{1,3,6}:{(102,1),(103,1)}

2097 :   0:{2,3,4,5,6}:{(2,1),(3,1),(36,1),(59,1),(88,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(20,1),(95,1)}
         2:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(44,1),(47,1),(75,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(24,1),(74,1),(76,1)}
         4:{1,4,5,6,7}:{(1,1),(9,1),(100,1)}
         5:{2,4,5,6,7}:{(1,1),(10,1),(87,1)}
         6:{2,3,4,6,7}:{(2,1),(10,1),(12,1),(31,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(12,1),(13,1),(34,1),(58,1),(61,1)}
         8:{1,3,5,6}:{(3,1),(13,1),(15,1)}
         9:{1,3,5,6,7}:{(4,1),(17,1),(18,1),(20,1),(93,1)}
        10:{2,3,5,6,7}:{(5,1),(6,1),(19,1),(20,1),(75,1)}
        11:{1,2,4,5,6,7}:{(4,1),(5,1),(18,1),(19,1),(20,1),(42,1),(43,1),(72,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(19,1),(21,1),(43,1)}
        13:{1,3,5,7}:{(7,1),(8,1),(21,1),(23,1)}
        14:{1,2,3,5,6}:{(8,1),(22,1),(24,1),(50,1),(76,1),(77,1)}
        15:{1,3,4,6}:{(8,1),(23,1),(24,1),(25,1)}
        16:{1,3,4,5,6}:{(26,1),(27,1),(59,1),(80,1),(101,1)}
        17:{1,3,4,6,7}:{(9,1),(26,1),(28,1),(31,1)}
        18:{1,2,5,6,7}:{(9,1),(28,1),(29,1),(83,1)}
        19:{1,2,5,6,7}:{(10,1),(12,1),(30,1),(61,1)}
        20:{3,5,6,7}:{(11,1),(31,1),(85,1)}
        21:{1,3,6,7}:{(12,1),(13,1)}
        22:{1,2,3,5,7}:{(13,1),(14,1),(32,1),(34,1),(61,1),(63,1)}
        23:{1,3,4,7}:{(13,1),(15,1),(34,1)}
        24:{1,2,4,6}:{(14,1),(15,1),(34,1),(36,1),(37,1)}
        25:{1,3,4,5}:{(15,1),(37,1)}
        26:{1,3,4,5,7}:{(16,1),(17,1),(38,1),(44,1),(89,1),(93,1)}
        27:{1,2,4,5,6}:{(16,1),(38,1),(39,1),(67,1),(73,1),(94,1)}
        28:{1,2,4,6,7}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        29:{2,3,5,6,7}:{(18,1),(20,1),(40,1),(42,1),(70,1)}
        30:{1,3,5,6,7}:{(19,1),(20,1),(21,1),(43,1),(46,1)}
        31:{3,4,6,7}:{(20,1),(42,1),(43,1),(44,1)}
        32:{1,2,3,6,7}:{(21,1),(22,1),(45,1),(77,1)}
        33:{1,3,4,6,7}:{(21,1),(23,1),(43,1),(45,1),(46,1),(49,1),(71,1)}
        34:{1,2,4,7}:{(22,1),(23,1),(24,1),(47,1)}
        35:{1,3,4,5,7}:{(23,1),(25,1),(46,1),(48,1),(49,1),(95,1)}
        36:{2,3,4,6}:{(24,1),(47,1),(50,1),(77,1)}
        37:{1,2,4,5}:{(24,1),(25,1),(50,1)}
        38:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(51,1),(57,1),(78,1),(83,1)}
        39:{2,3,5,6}:{(27,1),(51,1),(53,1)}
        40:{2,3,6,7}:{(28,1),(51,1)}
        41:{1,2,3,5,6,7}:{(29,1),(30,1),(32,1),(54,1),(56,1),(61,1),(83,1),(85,1),(88,1),(101,1)}
        42:{2,4,6,7}:{(29,1),(31,1),(57,1)}
        43:{1,4,6,7}:{(30,1),(31,1),(58,1)}
        44:{3,4,5,7}:{(31,1),(57,1),(58,1),(59,1),(85,1)}
        45:{1,2,4,6,7}:{(32,1),(33,1),(34,1),(60,1),(61,1),(64,1)}
        46:{1,3,5,7}:{(33,1),(58,1),(61,1),(62,1),(85,1)}
        47:{2,3,4,7}:{(34,1),(36,1),(63,1)}
        48:{1,2,4,5,7}:{(34,1),(35,1),(37,1),(61,1),(63,1),(64,1),(87,1)}
        49:{1,3,4,6}:{(35,1),(62,1),(64,1),(102,1)}
        50:{2,3,5}:{(36,1),(37,1)}
        51:{2,3,5,7}:{(38,1),(39,1),(40,1),(66,1)}
        52:{1,2,3,5,6}:{(39,1),(65,1),(67,1),(92,1),(94,1),(103,1)}
        53:{2,3,4,6}:{(39,1),(66,1),(67,1),(68,1)}
        54:{1,2,3,6,7}:{(40,1),(65,1),(69,1),(103,1)}
        55:{2,3,4,6,7}:{(40,1),(42,1),(66,1),(69,1),(70,1),(71,1),(91,1)}
        56:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(71,1),(72,1),(97,1),(104,1)}
        57:{2,4,5,7}:{(42,1),(44,1),(70,1),(73,1)}
        58:{1,4,5,7}:{(43,1),(44,1),(46,1),(74,1)}
        59:{3,4,5,6}:{(44,1),(73,1),(74,1),(96,1)}
        60:{2,3,4,6,7}:{(45,1),(47,1),(71,1),(75,1),(77,1),(97,1)}
        61:{1,2,5,7}:{(45,1),(46,1),(75,1),(76,1)}
        62:{1,3,5,6}:{(46,1),(49,1),(74,1),(76,1),(96,1)}
        63:{2,3,5,7}:{(47,1),(48,1),(50,1),(77,1)}
        64:{1,2,4,6}:{(48,1),(49,1),(76,1),(77,1),(97,1)}
        65:{1,2,3,5,7}:{(51,1),(52,1),(54,1),(78,1),(83,1),(98,1)}
        66:{2,3,4,7}:{(51,1),(53,1),(78,1)}
        67:{1,2,4,6}:{(52,1),(53,1),(78,1),(80,1),(81,1)}
        68:{2,3,4,5}:{(53,1),(81,1)}
        69:{1,2,4,6,7}:{(54,1),(55,1),(78,1),(82,1),(83,1),(99,1)}
        70:{2,3,5,7}:{(55,1),(57,1),(83,1),(84,1),(85,1)}
        71:{3,4,6,7}:{(56,1),(85,1),(102,1)}
        72:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(61,1),(83,1),(85,1),(86,1),(87,1),(100,1)}
        73:{2,4,5,6}:{(57,1),(59,1),(84,1)}
        74:{1,4,5,6}:{(58,1),(59,1),(62,1)}
        75:{2,3,5,7}:{(60,1),(61,1),(85,1),(87,1),(88,1)}
        76:{1,2,5,6}:{(61,1),(62,1),(64,1),(88,1)}
        77:{2,3,6}:{(63,1),(64,1)}
        78:{1,2,4,7}:{(65,1),(66,1),(67,1),(89,1)}
        79:{2,3,4,5,7}:{(66,1),(68,1),(70,1),(90,1),(91,1),(95,1)}
        80:{1,3,4,6}:{(67,1),(89,1),(92,1),(103,1)}
        81:{1,2,4,5}:{(67,1),(68,1),(92,1)}
        82:{1,3,4,6,7}:{(69,1),(71,1),(89,1),(93,1),(103,1),(104,1)}
        83:{1,2,5,7}:{(69,1),(70,1),(93,1),(94,1)}
        84:{2,3,5,6}:{(70,1),(73,1),(91,1),(94,1),(96,1)}
        85:{3,5,7}:{(71,1),(72,1),(96,1)}
        86:{1,2,4,5,6}:{(72,1),(73,1),(74,1),(76,1),(94,1),(96,1),(97,1),(104,1)}
        87:{2,4,5,7}:{(75,1),(95,1),(97,1)}
        88:{2,3,5,6}:{(75,1),(76,1),(77,1),(96,1),(97,1)}
        89:{1,3,4,7}:{(78,1),(80,1),(98,1)}
        90:{1,2,4,5,7}:{(78,1),(79,1),(81,1),(83,1),(98,1),(99,1),(100,1)}
        91:{2,3,4,6}:{(79,1),(84,1),(99,1),(102,1)}
        92:{1,3,5}:{(80,1),(81,1)}
        93:{1,3,5,7}:{(82,1),(83,1),(85,1),(100,1),(101,1)}
        94:{1,2,5,6}:{(83,1),(84,1),(99,1),(101,1)}
        95:{3,4,5,7}:{(85,1),(87,1),(100,1),(102,1)}
        96:{3,5,6}:{(85,1),(86,1),(102,1)}
        97:{2,4,6}:{(87,1),(88,1),(102,1)}
        98:{1,3,5,7}:{(89,1),(90,1),(92,1),(103,1)}
        99:{1,2,4,6}:{(90,1),(91,1),(94,1),(103,1),(104,1)}
       100:{1,4,5,7}:{(93,1),(95,1),(104,1)}
       101:{1,3,5,6}:{(93,1),(94,1),(96,1),(103,1),(104,1)}
       102:{3,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       103:{1,3,6}:{(98,1),(99,1)}
       104:{1,4,6}:{(100,1),(101,1),(102,1)}

2098 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{1,3,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{1,3,4,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,2,4,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{1,3,4,5,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,4,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,2,4,5,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{1,3,4,5,6}:{(6,1),(12,1),(27,1)}
       10:{1,2,3,4,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,3,5,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6}:{(8,1),(9,1),(16,1),(23,1)}
       13:{1,3,4,5,6,7}:{(9,1),(17,1),(32,1)}
       14:{1,2,3,5,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,5,7}:{(11,1),(18,1),(20,1)}
       16:{2,3,5,6}:{(11,1),(12,1),(20,1)}
       17:{1,2,4,5,6,7}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,2,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(14,1),(16,1),(23,1),(31,1)}
       20:{2,3,4,6}:{(15,1),(16,1),(23,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(26,1)}
       22:{1,3,4,5,7}:{(18,1),(27,1),(34,1)}
       23:{1,2,4,6}:{(18,1),(19,1),(20,1),(27,1)}
       24:{1,2,3,5,6,7}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,6}:{(20,1),(28,1),(30,1)}
       26:{2,3,4,6,7}:{(20,1),(21,1),(29,1),(30,1)}
       27:{1,3,4,6}:{(22,1),(23,1),(31,1)}
       28:{1,2,4,5,6}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,5,7}:{(25,1),(26,1),(33,1)}
       31:{1,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{1,3,4,6,7}:{(27,1),(29,1),(34,1)}
       33:{1,2,4,5,7}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,3,5,7}:{(31,1),(32,1),(33,1)}

2099 :   0:{1,3,4,5,6}:{(2,1),(3,1),(32,1),(61,1),(71,1)}
         1:{1,2,3,4,6}:{(4,1),(5,1),(21,1),(23,1)}
         2:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(21,1),(49,1),(55,1)}
         3:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(47,1),(78,1),(90,1)}
         4:{1,2,3,4,7}:{(1,1),(12,1),(35,1)}
         5:{1,2,3,5}:{(1,1),(10,1)}
         6:{2,3,4,5}:{(10,1),(15,1)}
         7:{2,3,5,6}:{(2,1),(15,1),(16,1)}
         8:{1,2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(35,1),(65,1),(72,1)}
         9:{1,3,4,6,7}:{(3,1),(17,1),(18,1),(73,1)}
        10:{1,2,4,5}:{(5,1),(6,1),(19,1),(21,1)}
        11:{1,2,3,4,6,7}:{(4,1),(22,1),(23,1),(50,1),(52,1),(82,1),(86,1),(120,1),(121,1)}
        12:{1,2,3,5,7}:{(4,1),(5,1),(20,1),(23,1)}
        13:{1,2,3,5,6}:{(5,1),(7,1),(21,1),(23,1),(24,1),(45,1),(49,1)}
        14:{2,3,4,5,7}:{(6,1),(20,1),(26,1),(27,1),(51,1),(56,1)}
        15:{2,3,4,6}:{(6,1),(7,1),(21,1),(27,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(27,1),(28,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(28,1),(29,1),(57,1)}
        18:{1,3,5,6,7}:{(9,1),(29,1),(30,1),(58,1),(78,1)}
        19:{1,3,4,5}:{(10,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(12,1),(14,1),(31,1),(34,1),(35,1),(65,1)}
        21:{1,2,4,6}:{(10,1),(13,1),(15,1),(32,1),(35,1)}
        22:{1,2,3,5,7}:{(11,1),(36,1),(37,1),(65,1),(101,1),(135,1)}
        23:{1,2,3,6}:{(12,1),(34,1)}
        24:{1,2,3,5,7}:{(13,1),(16,1),(35,1),(38,1),(60,1),(65,1)}
        25:{2,3,4,5,6}:{(15,1),(33,1),(39,1),(40,1),(95,1)}
        26:{2,3,4,6}:{(14,1),(34,1),(40,1),(68,1)}
        27:{2,3,4,7}:{(15,1),(16,1),(35,1)}
        28:{2,3,6,7}:{(16,1),(17,1)}
        29:{1,2,5,6,7}:{(17,1),(18,1),(42,1),(65,1)}
        30:{1,4,5,6,7}:{(18,1),(44,1),(96,1)}
        31:{1,3,4,5,7}:{(19,1),(20,1),(46,1),(47,1),(51,1),(78,1)}
        32:{1,3,4,6}:{(19,1),(21,1),(45,1),(47,1)}
        33:{1,2,4,5,6}:{(21,1),(25,1),(45,1),(48,1),(49,1),(77,1)}
        34:{1,2,4,6}:{(20,1),(23,1),(26,1),(46,1),(49,1)}
        35:{1,2,4,7}:{(21,1),(24,1),(27,1),(47,1)}
        36:{1,2,4,5,7}:{(22,1),(51,1),(52,1)}
        37:{1,2,3,5,6}:{(22,1),(23,1),(49,1),(52,1),(80,1),(117,1),(120,1)}
        38:{1,2,3,6,7}:{(23,1),(24,1),(28,1),(50,1),(76,1)}
        39:{2,3,4,5,7}:{(25,1),(27,1),(48,1),(54,1),(56,1),(114,1)}
        40:{2,3,5,6}:{(26,1),(49,1),(55,1),(56,1),(80,1)}
        41:{2,3,4,6,7}:{(26,1),(27,1),(28,1),(50,1),(56,1),(57,1),(86,1)}
        42:{2,3,5,6,7}:{(28,1),(29,1),(56,1),(57,1),(58,1)}
        43:{1,2,4,5,6,7}:{(29,1),(30,1),(57,1),(58,1),(59,1),(81,1),(92,1),(93,1)}
        44:{3,4,5,6,7}:{(30,1),(58,1),(59,1),(114,1)}
        45:{1,3,5,6}:{(32,1),(33,1),(60,1)}
        46:{1,3,4,6}:{(31,1),(34,1),(61,1),(68,1)}
        47:{1,3,4,7}:{(32,1),(35,1),(60,1)}
        48:{1,2,4,5,7}:{(33,1),(35,1),(39,1),(60,1),(63,1),(65,1),(96,1)}
        49:{1,2,5,6}:{(34,1),(40,1),(61,1),(65,1)}
        50:{1,2,4,6,7}:{(34,1),(35,1),(38,1),(41,1),(62,1),(65,1)}
        51:{3,4,5,7}:{(36,1),(68,1),(101,1)}
        52:{1,2,4,6}:{(36,1),(37,1),(68,1)}
        53:{1,2,3,5,6,7}:{(37,1),(38,1),(42,1),(65,1),(69,1),(75,1),(94,1),(101,1),(131,1),(135,1),(136,1)}
        54:{2,3,4,6,7}:{(39,1),(63,1),(70,1),(127,1)}
        55:{2,4,5,6}:{(40,1),(71,1),(72,1)}
        56:{2,3,5,7}:{(40,1),(41,1),(65,1),(72,1),(101,1)}
        57:{2,4,6,7}:{(42,1),(72,1),(73,1)}
        58:{3,5,6,7}:{(43,1),(73,1),(101,1)}
        59:{2,4,5,6,7}:{(44,1),(74,1),(129,1)}
        60:{1,3,5,7}:{(45,1),(47,1),(48,1),(76,1)}
        61:{1,3,5,6}:{(46,1),(49,1),(77,1),(78,1),(80,1)}
        62:{1,3,4,6,7}:{(46,1),(47,1),(50,1),(76,1),(78,1),(86,1),(111,1)}
        63:{1,2,4,6,7}:{(48,1),(54,1),(76,1),(79,1),(111,1)}
        64:{1,2,4,5,6}:{(49,1),(52,1),(55,1),(77,1),(80,1),(81,1),(89,1),(112,1),(117,1)}
        65:{1,2,5,7}:{(49,1),(50,1),(56,1),(78,1)}
        66:{2,3,4,5,7}:{(51,1),(83,1),(84,1),(118,1),(141,1),(153,1)}
        67:{1,3,4,5,7}:{(51,1),(83,1),(85,1),(119,1),(123,1),(147,1)}
        68:{3,4,6}:{(51,1),(52,1),(80,1)}
        69:{1,2,4,6,7}:{(52,1),(53,1),(57,1),(81,1),(86,1),(92,1),(111,1),(139,1)}
        70:{2,3,5,6,7}:{(54,1),(56,1),(79,1),(87,1),(115,1)}
        71:{3,4,5,6}:{(55,1),(80,1),(89,1),(90,1)}
        72:{2,4,5,7}:{(55,1),(56,1),(57,1),(90,1)}
        73:{3,4,6,7}:{(57,1),(58,1),(90,1),(92,1)}
        74:{2,3,5,6,7}:{(58,1),(59,1),(91,1),(93,1),(118,1)}
        75:{1,3,5,6,7}:{(58,1),(92,1),(93,1),(119,1),(126,1)}
        76:{1,3,6,7}:{(60,1),(63,1)}
        77:{1,4,5,6}:{(61,1),(95,1),(96,1)}
        78:{1,3,5,7}:{(61,1),(62,1),(65,1),(96,1),(101,1)}
        79:{1,2,5,6,7}:{(63,1),(65,1),(70,1),(94,1)}
        80:{3,5,6}:{(64,1),(68,1),(101,1)}
        81:{1,2,4,5,7}:{(64,1),(65,1),(69,1),(72,1),(96,1),(101,1),(109,1),(129,1),(135,1)}
        82:{1,2,3,4,7}:{(98,1),(102,1),(151,1)}
        83:{1,2,4,5,7}:{(66,1),(67,1),(102,1),(103,1),(133,1),(135,1),(151,1)}
        84:{2,3,4,6}:{(66,1),(68,1),(99,1),(103,1)}
        85:{1,3,4,6}:{(67,1),(68,1),(100,1),(103,1)}
        86:{3,4,6,7}:{(68,1),(69,1),(101,1)}
        87:{2,4,5,6,7}:{(70,1),(72,1),(106,1)}
        88:{2,3,4,5,6}:{(71,1),(99,1),(107,1),(108,1),(149,1)}
        89:{1,4,5,6}:{(71,1),(100,1),(109,1)}
        90:{3,4,5,7}:{(71,1),(72,1),(73,1),(101,1),(109,1)}
        91:{2,3,4,6,7}:{(73,1),(74,1),(108,1),(110,1)}
        92:{1,4,6,7}:{(73,1),(75,1),(109,1)}
        93:{1,2,5,6,7}:{(74,1),(75,1),(110,1),(135,1)}
        94:{1,3,5,6,7}:{(76,1),(78,1),(79,1),(111,1),(115,1)}
        95:{3,4,5,6}:{(77,1),(80,1),(112,1),(114,1)}
        96:{1,4,5,7}:{(77,1),(78,1),(111,1),(114,1)}
        97:{1,2,4,5,6,7}:{(79,1),(81,1),(87,1),(111,1),(115,1),(122,1),(139,1),(144,1)}
        98:{1,2,3,4,6}:{(82,1),(116,1),(120,1),(145,1)}
        99:{2,3,5,6}:{(80,1),(84,1),(112,1),(117,1),(118,1)}
       100:{1,3,5,6}:{(80,1),(85,1),(89,1),(117,1),(119,1)}
       101:{3,5,7}:{(80,1),(81,1),(86,1)}
       102:{1,2,3,5,7}:{(82,1),(83,1),(116,1),(120,1)}
       103:{1,2,4,6}:{(83,1),(84,1),(85,1),(117,1),(120,1)}
       104:{2,3,4,6,7}:{(84,1),(86,1),(118,1),(121,1),(139,1),(152,1),(153,1)}
       105:{1,3,4,6,7}:{(85,1),(86,1),(92,1),(119,1),(121,1),(126,1),(147,1)}
       106:{3,4,5,6,7}:{(87,1),(90,1),(115,1),(122,1)}
       107:{1,2,4,5,6}:{(88,1),(89,1),(117,1),(124,1),(125,1),(145,1)}
       108:{2,3,4,5,7}:{(88,1),(90,1),(91,1),(118,1),(125,1),(153,1)}
       109:{1,4,5,7}:{(89,1),(90,1),(92,1),(119,1)}
       110:{1,2,4,6,7}:{(91,1),(92,1),(93,1),(125,1),(126,1)}
       111:{1,4,6,7}:{(94,1),(96,1),(127,1)}
       112:{2,4,5,6}:{(95,1),(99,1),(129,1)}
       113:{1,3,4,5,6}:{(95,1),(100,1),(128,1),(130,1),(137,1)}
       114:{3,4,5,7}:{(95,1),(96,1),(101,1),(127,1),(129,1)}
       115:{3,5,6,7}:{(97,1),(101,1),(127,1)}
       116:{1,2,3,5}:{(98,1),(133,1)}
       117:{1,2,5,6}:{(99,1),(100,1),(103,1),(135,1)}
       118:{2,3,5,7}:{(99,1),(101,1),(104,1),(129,1),(135,1)}
       119:{1,3,5,7}:{(100,1),(101,1),(105,1),(109,1),(135,1)}
       120:{1,2,3,6}:{(102,1),(103,1)}
       121:{1,2,4,6,7}:{(103,1),(104,1),(105,1),(135,1),(136,1),(151,1)}
       122:{1,4,5,6,7}:{(106,1),(109,1),(132,1)}
       123:{1,3,4,5}:{(133,1),(137,1)}
       124:{1,3,5,6}:{(107,1),(137,1),(138,1)}
       125:{1,2,4,5,7}:{(107,1),(108,1),(109,1),(110,1),(135,1),(138,1),(151,1)}
       126:{1,3,6,7}:{(110,1),(138,1)}
       127:{3,4,6,7}:{(111,1),(114,1),(115,1),(139,1)}
       128:{1,2,4,5,6}:{(112,1),(113,1),(117,1),(142,1),(143,1),(145,1)}
       129:{2,4,5,7}:{(112,1),(114,1),(118,1),(139,1)}
       130:{1,3,4,5,7}:{(113,1),(114,1),(119,1),(140,1),(143,1),(147,1)}
       131:{2,3,5,6,7}:{(115,1),(118,1),(139,1),(144,1),(152,1)}
       132:{1,3,5,6,7}:{(115,1),(119,1),(122,1),(140,1),(144,1)}
       133:{1,2,4,5}:{(116,1),(123,1),(141,1),(145,1)}
       134:{1,2,3,5,6}:{(116,1),(117,1),(120,1),(124,1),(142,1),(145,1),(146,1)}
       135:{1,2,5,7}:{(117,1),(118,1),(119,1),(121,1)}
       136:{1,2,3,6,7}:{(120,1),(121,1),(126,1),(146,1),(152,1)}
       137:{1,3,4,6}:{(123,1),(124,1),(145,1),(147,1)}
       138:{1,3,5,7}:{(124,1),(125,1),(126,1),(147,1)}
       139:{2,4,6,7}:{(127,1),(129,1),(131,1)}
       140:{1,3,4,6,7}:{(127,1),(130,1),(132,1),(148,1)}
       141:{2,3,4,5}:{(133,1),(149,1)}
       142:{2,3,5,6}:{(128,1),(149,1),(150,1)}
       143:{1,2,4,5,7}:{(128,1),(129,1),(130,1),(135,1),(148,1),(150,1),(151,1)}
       144:{1,2,5,6,7}:{(131,1),(132,1),(135,1),(148,1)}
       145:{1,2,4,6}:{(133,1),(134,1),(137,1),(149,1),(151,1)}
       146:{1,2,3,5,7}:{(134,1),(135,1),(136,1),(138,1),(150,1),(151,1)}
       147:{1,3,4,7}:{(137,1),(138,1),(151,1)}
       148:{1,2,4,6,7}:{(139,1),(140,1),(143,1),(144,1),(152,1)}
       149:{2,3,4,6}:{(141,1),(142,1),(145,1),(153,1)}
       150:{2,3,5,7}:{(142,1),(143,1),(152,1),(153,1)}
       151:{1,2,4,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{2,3,6,7}:{(148,1),(150,1)}
       153:{2,3,4,7}:{(149,1),(150,1),(151,1)}

2100 :   0:{1,3,4,5,6}:{(1,1),(2,1),(20,1),(68,1),(75,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(30,1),(55,1),(62,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(60,1),(63,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(50,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(47,1),(51,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(31,1),(56,1),(60,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(37,1),(80,1)}
         8:{1,3,5,6,7}:{(3,1),(14,1),(16,1),(37,1),(55,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(38,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{2,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(44,1),(47,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(8,1),(67,1)}
        15:{2,4,5,6,7}:{(7,1),(24,1),(91,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(47,1)}
        17:{2,3,6,7}:{(9,1),(10,1)}
        18:{2,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{2,3,4,5}:{(11,1),(23,1)}
        20:{1,3,4,6}:{(13,1),(30,1),(31,1),(56,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(34,1),(56,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(30,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(31,1)}
        24:{2,3,5,6,7}:{(15,1),(32,1),(36,1),(37,1),(84,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(36,1),(37,1),(38,1),(59,1),(61,1)}
        26:{2,3,5,6,7}:{(16,1),(17,1),(37,1),(38,1),(39,1)}
        27:{2,3,4,6,7}:{(17,1),(18,1),(34,1),(38,1),(39,1),(40,1),(58,1)}
        28:{2,3,4,5,7}:{(18,1),(19,1),(35,1),(39,1),(40,1),(80,1)}
        29:{2,3,4,5,6}:{(41,1),(42,1),(75,1),(87,1),(95,1)}
        30:{1,3,4,7}:{(20,1),(22,1),(44,1)}
        31:{1,3,5}:{(20,1),(23,1)}
        32:{2,3,4,6,7}:{(24,1),(41,1),(45,1),(50,1)}
        33:{1,2,3,5,6,7}:{(21,1),(26,1),(46,1),(47,1),(49,1),(68,1),(69,1),(72,1),(93,1),(95,1)}
        34:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(43,1),(47,1),(48,1)}
        35:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(44,1),(47,1),(48,1),(67,1)}
        36:{1,2,5,6,7}:{(24,1),(45,1),(49,1),(93,1)}
        37:{3,5,6,7}:{(25,1),(50,1),(72,1)}
        38:{2,4,6,7}:{(26,1),(50,1),(51,1)}
        39:{2,3,5,7}:{(27,1),(47,1),(51,1),(52,1),(72,1)}
        40:{2,3,4,6}:{(28,1),(48,1),(52,1),(92,1)}
        41:{2,3,4,5,7}:{(29,1),(32,1),(53,1),(62,1),(84,1),(96,1)}
        42:{1,2,4,5,6}:{(29,1),(53,1),(54,1),(77,1),(86,1),(101,1)}
        43:{1,3,4,6,7}:{(30,1),(34,1),(55,1),(56,1),(58,1),(81,1)}
        44:{1,3,5,7}:{(30,1),(31,1),(35,1),(56,1)}
        45:{1,2,4,6,7}:{(32,1),(36,1),(53,1),(57,1),(61,1)}
        46:{1,2,4,6,7}:{(33,1),(38,1),(58,1),(59,1),(61,1),(81,1),(100,1)}
        47:{1,2,5,7}:{(34,1),(39,1),(55,1),(60,1)}
        48:{1,2,4,6}:{(35,1),(40,1),(56,1),(60,1),(81,1)}
        49:{1,3,5,6,7}:{(36,1),(37,1),(57,1),(61,1),(83,1)}
        50:{3,4,6,7}:{(37,1),(38,1),(61,1),(62,1)}
        51:{2,4,5,7}:{(38,1),(39,1),(62,1),(63,1)}
        52:{2,3,5,6}:{(39,1),(40,1),(60,1),(63,1),(85,1)}
        53:{1,2,4,5,7}:{(41,1),(42,1),(45,1),(65,1),(74,1),(88,1),(93,1)}
        54:{1,3,5,6}:{(42,1),(65,1),(66,1)}
        55:{1,3,5,7}:{(43,1),(47,1),(67,1),(68,1),(72,1)}
        56:{1,3,6}:{(44,1),(48,1)}
        57:{1,3,6,7}:{(45,1),(65,1)}
        58:{3,4,6,7}:{(46,1),(72,1),(92,1)}
        59:{1,2,4,5,7}:{(46,1),(47,1),(51,1),(67,1),(72,1),(73,1),(74,1),(91,1),(93,1)}
        60:{1,2,5,6}:{(47,1),(48,1),(52,1),(68,1)}
        61:{1,4,6,7}:{(49,1),(50,1),(74,1)}
        62:{3,4,5,7}:{(50,1),(51,1),(72,1),(74,1),(75,1)}
        63:{2,4,5,6}:{(51,1),(52,1),(75,1)}
        64:{1,2,3,5,6}:{(54,1),(76,1),(77,1),(97,1),(101,1),(104,1)}
        65:{1,3,5,7}:{(53,1),(54,1),(57,1),(78,1)}
        66:{1,3,4,6}:{(54,1),(77,1),(78,1),(79,1)}
        67:{1,4,5,7}:{(55,1),(80,1),(81,1)}
        68:{1,3,5,6}:{(55,1),(56,1),(60,1),(81,1),(85,1)}
        69:{1,2,3,6,7}:{(57,1),(76,1),(82,1),(104,1)}
        70:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(78,1),(82,1),(83,1),(99,1)}
        71:{2,3,4,6,7}:{(58,1),(82,1),(84,1),(96,1),(100,1),(104,1)}
        72:{3,5,7}:{(58,1),(59,1),(85,1)}
        73:{1,2,4,5,6}:{(59,1),(60,1),(63,1),(81,1),(85,1),(86,1),(100,1),(101,1)}
        74:{1,4,5,7}:{(61,1),(62,1),(83,1),(86,1)}
        75:{3,4,5,6}:{(62,1),(63,1),(85,1),(86,1)}
        76:{1,2,3,5,7}:{(64,1),(65,1),(69,1),(88,1),(93,1),(102,1)}
        77:{1,2,4,6}:{(64,1),(66,1),(87,1),(88,1),(89,1)}
        78:{1,3,4,7}:{(65,1),(66,1),(88,1)}
        79:{1,3,4,5}:{(66,1),(89,1)}
        80:{3,4,5,7}:{(67,1),(72,1),(91,1),(92,1)}
        81:{1,4,6}:{(67,1),(68,1),(92,1)}
        82:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(88,1),(93,1),(103,1)}
        83:{1,3,5,7}:{(70,1),(72,1),(74,1),(93,1),(94,1)}
        84:{2,3,5,7}:{(71,1),(72,1),(91,1),(93,1),(95,1)}
        85:{3,5,6}:{(72,1),(73,1),(92,1)}
        86:{1,4,5,6}:{(74,1),(75,1),(94,1)}
        87:{2,3,4,6}:{(77,1),(96,1),(97,1),(104,1)}
        88:{1,2,4,7}:{(76,1),(77,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(77,1),(79,1),(97,1)}
        90:{1,3,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(98,1),(99,1)}
        91:{2,4,5,7}:{(80,1),(84,1),(100,1)}
        92:{3,4,6}:{(80,1),(81,1),(85,1),(100,1)}
        93:{1,2,5,7}:{(82,1),(83,1),(84,1),(101,1)}
        94:{1,3,5,6}:{(83,1),(85,1),(86,1),(99,1),(101,1)}
        95:{2,3,5,6}:{(84,1),(85,1),(100,1),(101,1),(104,1)}
        96:{2,3,4,7}:{(87,1),(88,1),(102,1)}
        97:{2,3,5}:{(87,1),(89,1)}
        98:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{1,3,4,6}:{(90,1),(92,1),(94,1),(103,1)}
       100:{2,4,6}:{(91,1),(92,1),(95,1)}
       101:{1,2,5,6}:{(93,1),(94,1),(95,1),(103,1)}
       102:{2,3,5,7}:{(96,1),(97,1),(98,1),(104,1)}
       103:{1,2,4,6}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{2,3,6}:{(102,1),(103,1)}

2101 :   0:{1,3,4,5,6}:{(2,1),(3,1),(36,1),(59,1),(88,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(20,1),(95,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(44,1),(47,1),(75,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(24,1),(73,1),(76,1)}
         4:{1,4,5,6,7}:{(1,1),(9,1),(87,1)}
         5:{2,4,5,6,7}:{(1,1),(10,1),(100,1)}
         6:{1,3,4,6,7}:{(2,1),(9,1),(12,1),(31,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(12,1),(13,1),(34,1),(57,1),(61,1)}
         8:{2,3,5,6}:{(3,1),(13,1),(15,1)}
         9:{1,3,5,6,7}:{(4,1),(6,1),(18,1),(20,1),(75,1)}
        10:{2,3,5,6,7}:{(5,1),(17,1),(19,1),(20,1),(93,1)}
        11:{1,2,4,5,6,7}:{(4,1),(5,1),(18,1),(19,1),(20,1),(42,1),(43,1),(72,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(18,1),(21,1),(42,1)}
        13:{2,3,5,7}:{(7,1),(8,1),(21,1),(23,1)}
        14:{1,2,3,5,6}:{(8,1),(22,1),(24,1),(50,1),(76,1),(77,1)}
        15:{2,3,4,6}:{(8,1),(23,1),(24,1),(25,1)}
        16:{2,3,4,5,6}:{(26,1),(27,1),(59,1),(80,1),(101,1)}
        17:{2,3,4,6,7}:{(10,1),(26,1),(28,1),(31,1)}
        18:{1,2,5,6,7}:{(9,1),(12,1),(29,1),(61,1)}
        19:{1,2,5,6,7}:{(10,1),(28,1),(30,1),(83,1)}
        20:{3,5,6,7}:{(11,1),(31,1),(85,1)}
        21:{2,3,6,7}:{(12,1),(13,1)}
        22:{1,2,3,5,7}:{(13,1),(14,1),(32,1),(34,1),(61,1),(63,1)}
        23:{2,3,4,7}:{(13,1),(15,1),(34,1)}
        24:{1,2,4,6}:{(14,1),(15,1),(34,1),(36,1),(37,1)}
        25:{2,3,4,5}:{(15,1),(37,1)}
        26:{2,3,4,5,7}:{(16,1),(17,1),(38,1),(44,1),(89,1),(93,1)}
        27:{1,2,4,5,6}:{(16,1),(38,1),(39,1),(67,1),(74,1),(94,1)}
        28:{1,2,4,6,7}:{(17,1),(19,1),(38,1),(40,1),(43,1)}
        29:{2,3,5,6,7}:{(18,1),(20,1),(21,1),(42,1),(46,1)}
        30:{1,3,5,6,7}:{(19,1),(20,1),(40,1),(43,1),(70,1)}
        31:{3,4,6,7}:{(20,1),(42,1),(43,1),(44,1)}
        32:{1,2,3,6,7}:{(21,1),(22,1),(45,1),(77,1)}
        33:{2,3,4,6,7}:{(21,1),(23,1),(42,1),(45,1),(46,1),(49,1),(71,1)}
        34:{1,2,4,7}:{(22,1),(23,1),(24,1),(47,1)}
        35:{2,3,4,5,7}:{(23,1),(25,1),(46,1),(48,1),(49,1),(95,1)}
        36:{1,3,4,6}:{(24,1),(47,1),(50,1),(77,1)}
        37:{1,2,4,5}:{(24,1),(25,1),(50,1)}
        38:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(51,1),(58,1),(78,1),(83,1)}
        39:{1,3,5,6}:{(27,1),(51,1),(53,1)}
        40:{1,3,6,7}:{(28,1),(51,1)}
        41:{1,2,3,5,6,7}:{(29,1),(30,1),(32,1),(54,1),(56,1),(61,1),(83,1),(85,1),(88,1),(101,1)}
        42:{2,4,6,7}:{(29,1),(31,1),(57,1)}
        43:{1,4,6,7}:{(30,1),(31,1),(58,1)}
        44:{3,4,5,7}:{(31,1),(57,1),(58,1),(59,1),(85,1)}
        45:{1,2,4,6,7}:{(32,1),(33,1),(34,1),(60,1),(61,1),(64,1)}
        46:{2,3,5,7}:{(33,1),(57,1),(61,1),(62,1),(85,1)}
        47:{1,3,4,7}:{(34,1),(36,1),(63,1)}
        48:{1,2,4,5,7}:{(34,1),(35,1),(37,1),(61,1),(63,1),(64,1),(87,1)}
        49:{2,3,4,6}:{(35,1),(62,1),(64,1),(102,1)}
        50:{1,3,5}:{(36,1),(37,1)}
        51:{1,3,5,7}:{(38,1),(39,1),(40,1),(66,1)}
        52:{1,2,3,5,6}:{(39,1),(65,1),(67,1),(92,1),(94,1),(103,1)}
        53:{1,3,4,6}:{(39,1),(66,1),(67,1),(68,1)}
        54:{1,2,3,6,7}:{(40,1),(65,1),(69,1),(103,1)}
        55:{1,3,4,6,7}:{(40,1),(43,1),(66,1),(69,1),(70,1),(71,1),(91,1)}
        56:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(71,1),(72,1),(97,1),(104,1)}
        57:{2,4,5,7}:{(42,1),(44,1),(46,1),(73,1)}
        58:{1,4,5,7}:{(43,1),(44,1),(70,1),(74,1)}
        59:{3,4,5,6}:{(44,1),(73,1),(74,1),(96,1)}
        60:{1,3,4,6,7}:{(45,1),(47,1),(71,1),(75,1),(77,1),(97,1)}
        61:{1,2,5,7}:{(45,1),(46,1),(75,1),(76,1)}
        62:{2,3,5,6}:{(46,1),(49,1),(73,1),(76,1),(96,1)}
        63:{1,3,5,7}:{(47,1),(48,1),(50,1),(77,1)}
        64:{1,2,4,6}:{(48,1),(49,1),(76,1),(77,1),(97,1)}
        65:{1,2,3,5,7}:{(51,1),(52,1),(54,1),(78,1),(83,1),(98,1)}
        66:{1,3,4,7}:{(51,1),(53,1),(78,1)}
        67:{1,2,4,6}:{(52,1),(53,1),(78,1),(80,1),(81,1)}
        68:{1,3,4,5}:{(53,1),(81,1)}
        69:{1,2,4,6,7}:{(54,1),(55,1),(78,1),(82,1),(83,1),(99,1)}
        70:{1,3,5,7}:{(55,1),(58,1),(83,1),(84,1),(85,1)}
        71:{3,4,6,7}:{(56,1),(85,1),(102,1)}
        72:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(61,1),(83,1),(85,1),(86,1),(87,1),(100,1)}
        73:{2,4,5,6}:{(57,1),(59,1),(62,1)}
        74:{1,4,5,6}:{(58,1),(59,1),(84,1)}
        75:{1,3,5,7}:{(60,1),(61,1),(85,1),(87,1),(88,1)}
        76:{1,2,5,6}:{(61,1),(62,1),(64,1),(88,1)}
        77:{1,3,6}:{(63,1),(64,1)}
        78:{1,2,4,7}:{(65,1),(66,1),(67,1),(89,1)}
        79:{1,3,4,5,7}:{(66,1),(68,1),(70,1),(90,1),(91,1),(95,1)}
        80:{2,3,4,6}:{(67,1),(89,1),(92,1),(103,1)}
        81:{1,2,4,5}:{(67,1),(68,1),(92,1)}
        82:{2,3,4,6,7}:{(69,1),(71,1),(89,1),(93,1),(103,1),(104,1)}
        83:{1,2,5,7}:{(69,1),(70,1),(93,1),(94,1)}
        84:{1,3,5,6}:{(70,1),(74,1),(91,1),(94,1),(96,1)}
        85:{3,5,7}:{(71,1),(72,1),(96,1)}
        86:{1,2,4,5,6}:{(72,1),(73,1),(74,1),(76,1),(94,1),(96,1),(97,1),(104,1)}
        87:{1,4,5,7}:{(75,1),(95,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(77,1),(96,1),(97,1)}
        89:{2,3,4,7}:{(78,1),(80,1),(98,1)}
        90:{1,2,4,5,7}:{(78,1),(79,1),(81,1),(83,1),(98,1),(99,1),(100,1)}
        91:{1,3,4,6}:{(79,1),(84,1),(99,1),(102,1)}
        92:{2,3,5}:{(80,1),(81,1)}
        93:{2,3,5,7}:{(82,1),(83,1),(85,1),(100,1),(101,1)}
        94:{1,2,5,6}:{(83,1),(84,1),(99,1),(101,1)}
        95:{3,4,5,7}:{(85,1),(87,1),(100,1),(102,1)}
        96:{3,5,6}:{(85,1),(86,1),(102,1)}
        97:{1,4,6}:{(87,1),(88,1),(102,1)}
        98:{2,3,5,7}:{(89,1),(90,1),(92,1),(103,1)}
        99:{1,2,4,6}:{(90,1),(91,1),(94,1),(103,1),(104,1)}
       100:{2,4,5,7}:{(93,1),(95,1),(104,1)}
       101:{2,3,5,6}:{(93,1),(94,1),(96,1),(103,1),(104,1)}
       102:{3,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       103:{2,3,6}:{(98,1),(99,1)}
       104:{2,4,6}:{(100,1),(101,1),(102,1)}

2102 :   0:{1,2,3,6,7}:{(3,1),(4,1),(40,1),(52,1),(85,1),(86,1),(87,1),(104,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(15,1),(19,1),(41,1),(52,1),(55,1),(86,1),(99,1),(104,1)}
         2:{1,3,4,6,7}:{(4,1),(6,1),(15,1),(22,1),(42,1),(52,1),(57,1),(87,1),(100,1),(104,1)}
         3:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(28,1),(31,1),(58,1),(69,1),(94,1),(95,1)}
         4:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(32,1),(60,1),(73,1),(74,1),(96,1),(103,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(10,1),(11,1),(31,1),(61,1),(66,1)}
         6:{1,3,5,7}:{(2,1),(9,1),(12,1),(13,1),(31,1),(62,1),(68,1)}
         7:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(40,1),(43,1),(52,1),(79,1),(80,1),(81,1),(85,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(75,1),(99,1),(100,1)}
         9:{1,2,5,7}:{(4,1),(5,1),(6,1),(17,1),(79,1),(83,1),(84,1)}
        10:{2,4,5,7}:{(5,1),(18,1),(19,1),(76,1),(99,1)}
        11:{2,3,5,6}:{(5,1),(17,1),(19,1),(45,1),(52,1)}
        12:{1,4,5,7}:{(6,1),(21,1),(22,1),(77,1),(100,1)}
        13:{1,3,5,6}:{(6,1),(17,1),(22,1),(47,1),(52,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(90,1),(91,1)}
        15:{3,4,7}:{(8,1),(24,1),(31,1),(88,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(12,1),(25,1),(31,1),(32,1),(34,1),(37,1),(69,1),(89,1),(103,1)}
        17:{1,2,5,6}:{(9,1),(11,1),(13,1),(32,1),(65,1),(67,1)}
        18:{3,4,5,7}:{(10,1),(31,1),(34,1),(35,1),(59,1),(66,1),(92,1)}
        19:{2,4,6}:{(10,1),(11,1),(35,1)}
        20:{2,3,5,6,7}:{(11,1),(33,1),(36,1),(66,1),(72,1),(94,1)}
        21:{3,4,5,7}:{(12,1),(31,1),(37,1),(38,1),(59,1),(68,1),(92,1)}
        22:{1,4,6}:{(12,1),(13,1),(38,1)}
        23:{1,3,5,6,7}:{(13,1),(33,1),(39,1),(68,1),(72,1),(95,1)}
        24:{3,4,6}:{(14,1),(15,1),(43,1),(52,1)}
        25:{1,2,4,5}:{(14,1),(43,1),(76,1),(77,1),(79,1)}
        26:{2,4,5,6}:{(19,1),(45,1),(46,1)}
        27:{1,4,5,6}:{(22,1),(47,1),(48,1)}
        28:{1,2,3,7}:{(40,1),(49,1),(104,1)}
        29:{2,3,4,7}:{(15,1),(41,1),(49,1),(50,1),(99,1),(104,1)}
        30:{1,3,4,7}:{(15,1),(42,1),(49,1),(51,1),(100,1),(104,1)}
        31:{3,5,7}:{(15,1),(16,1),(43,1),(52,1),(97,1),(104,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(19,1),(22,1),(52,1),(54,1),(56,1),(85,1)}
        33:{1,2,5,6,7}:{(17,1),(20,1),(23,1),(53,1),(83,1),(84,1),(101,1)}
        34:{1,4,5,7}:{(18,1),(51,1),(54,1),(77,1),(83,1),(100,1)}
        35:{3,4,6}:{(18,1),(19,1),(45,1),(52,1),(54,1)}
        36:{2,4,6,7}:{(19,1),(20,1),(46,1),(55,1),(99,1)}
        37:{2,4,5,7}:{(21,1),(50,1),(56,1),(76,1),(84,1),(99,1)}
        38:{3,4,6}:{(21,1),(22,1),(47,1),(52,1),(56,1)}
        39:{1,4,6,7}:{(22,1),(23,1),(48,1),(57,1),(100,1)}
        40:{1,2,3,6}:{(28,1),(58,1),(60,1),(102,1)}
        41:{2,3,4,6}:{(24,1),(29,1),(60,1),(61,1),(70,1),(88,1),(90,1),(102,1)}
        42:{1,3,4,6}:{(24,1),(30,1),(60,1),(62,1),(71,1),(88,1),(91,1),(102,1)}
        43:{3,5}:{(24,1),(25,1)}
        44:{1,2,4,5,6}:{(25,1),(26,1),(27,1),(32,1),(63,1),(64,1),(65,1),(67,1),(90,1),(91,1),(93,1)}
        45:{3,5,6}:{(26,1),(35,1),(65,1),(66,1)}
        46:{2,4,5,7}:{(26,1),(36,1),(66,1)}
        47:{3,5,6}:{(27,1),(38,1),(67,1),(68,1)}
        48:{1,4,5,7}:{(27,1),(39,1),(68,1)}
        49:{1,2,4,7}:{(28,1),(29,1),(30,1),(60,1),(69,1)}
        50:{2,3,5,7}:{(29,1),(31,1),(37,1),(61,1),(69,1),(70,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(34,1),(62,1),(69,1),(71,1)}
        52:{3,6}:{(31,1),(32,1)}
        53:{1,2,4,6,7}:{(32,1),(33,1),(36,1),(39,1),(64,1),(72,1),(73,1),(74,1),(96,1),(103,1)}
        54:{1,4,6}:{(34,1),(35,1),(65,1),(71,1)}
        55:{3,4,6,7}:{(35,1),(36,1),(66,1),(72,1),(73,1),(92,1)}
        56:{2,4,6}:{(37,1),(38,1),(67,1),(70,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(68,1),(72,1),(74,1),(92,1)}
        58:{1,2,3,5}:{(40,1),(75,1),(79,1),(97,1)}
        59:{3,4,5}:{(43,1),(76,1),(77,1),(78,1),(97,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(42,1),(49,1),(75,1),(79,1),(85,1)}
        61:{2,3,5}:{(41,1),(43,1),(76,1),(79,1),(97,1)}
        62:{1,3,5}:{(42,1),(43,1),(77,1),(79,1),(97,1)}
        63:{3,5,6}:{(43,1),(44,1),(52,1),(78,1),(82,1)}
        64:{1,2,4,5,7}:{(44,1),(46,1),(48,1),(53,1),(82,1),(83,1),(84,1),(99,1),(100,1),(101,1)}
        65:{1,5,6}:{(45,1),(54,1),(83,1)}
        66:{3,5,7}:{(45,1),(46,1),(55,1),(83,1)}
        67:{2,5,6}:{(47,1),(56,1),(84,1)}
        68:{3,5,7}:{(47,1),(48,1),(57,1),(84,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(85,1)}
        70:{2,3,6}:{(50,1),(52,1),(56,1),(85,1)}
        71:{1,3,6}:{(51,1),(52,1),(54,1),(85,1)}
        72:{3,6,7}:{(52,1),(53,1),(82,1),(104,1)}
        73:{1,4,6,7}:{(54,1),(55,1),(83,1),(87,1),(100,1)}
        74:{2,4,6,7}:{(56,1),(57,1),(84,1),(86,1),(99,1)}
        75:{1,2,4}:{(58,1),(88,1)}
        76:{2,4,5}:{(59,1),(61,1),(90,1)}
        77:{1,4,5}:{(59,1),(62,1),(91,1)}
        78:{3,4,6}:{(59,1),(63,1),(90,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(60,1),(61,1),(62,1)}
        80:{2,3,5,6}:{(61,1),(63,1),(67,1),(70,1),(90,1),(93,1),(94,1),(102,1)}
        81:{1,3,5,6}:{(62,1),(63,1),(65,1),(71,1),(91,1),(93,1),(95,1),(102,1)}
        82:{3,5,7}:{(63,1),(64,1),(72,1),(92,1)}
        83:{1,5,7}:{(65,1),(66,1),(73,1)}
        84:{2,5,7}:{(67,1),(68,1),(74,1)}
        85:{1,2,6}:{(69,1),(70,1),(71,1)}
        86:{2,3,6,7}:{(70,1),(72,1),(74,1),(94,1),(96,1)}
        87:{1,3,6,7}:{(71,1),(72,1),(73,1),(95,1),(96,1)}
        88:{3,4}:{(75,1),(97,1)}
        89:{1,2,4,5}:{(75,1),(76,1),(77,1),(79,1),(97,1),(98,1)}
        90:{2,4,6}:{(76,1),(78,1),(80,1),(99,1)}
        91:{1,4,6}:{(77,1),(78,1),(81,1),(100,1)}
        92:{3,4,7}:{(78,1),(82,1),(99,1),(100,1),(104,1)}
        93:{1,2,5,6}:{(79,1),(80,1),(81,1),(85,1),(98,1),(101,1)}
        94:{2,3,5,7}:{(80,1),(82,1),(84,1),(86,1),(99,1),(101,1),(104,1)}
        95:{1,3,5,7}:{(81,1),(82,1),(83,1),(87,1),(100,1),(101,1),(104,1)}
        96:{1,2,6,7}:{(85,1),(86,1),(87,1),(101,1)}
        97:{3,5}:{(88,1),(89,1),(102,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{2,4,7}:{(90,1),(92,1),(94,1)}
       100:{1,4,7}:{(91,1),(92,1),(95,1)}
       101:{1,2,5,7}:{(93,1),(94,1),(95,1),(96,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

2103 :   0:{3,4,5,6,7}:{(1,1),(2,1),(16,1),(94,1)}
         1:{1,4,5,6,7}:{(0,1),(5,1),(100,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(98,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(53,1),(56,1),(99,1)}
         4:{1,3,4,5,6}:{(10,1),(11,1),(53,1),(60,1),(101,1)}
         5:{1,3,5,6,7}:{(1,1),(13,1),(14,1),(16,1),(92,1)}
         6:{2,3,5,6,7}:{(2,1),(12,1),(15,1),(16,1),(90,1)}
         7:{1,2,4,5,6,7}:{(1,1),(2,1),(14,1),(15,1),(16,1),(35,1),(36,1),(67,1)}
         8:{2,3,4,5,7}:{(3,1),(12,1),(17,1),(37,1),(70,1),(90,1)}
         9:{1,2,4,5,6}:{(3,1),(17,1),(18,1),(40,1),(69,1),(91,1)}
        10:{1,3,4,5,7}:{(4,1),(13,1),(19,1),(37,1),(74,1),(92,1)}
        11:{1,2,4,5,6}:{(4,1),(19,1),(20,1),(44,1),(68,1),(93,1)}
        12:{2,3,4,6,7}:{(6,1),(8,1),(21,1),(25,1)}
        13:{1,3,4,6,7}:{(5,1),(10,1),(22,1),(25,1)}
        14:{1,2,5,6,7}:{(5,1),(22,1),(23,1),(82,1)}
        15:{1,2,5,6,7}:{(6,1),(21,1),(24,1),(79,1)}
        16:{3,5,6,7}:{(7,1),(25,1),(84,1)}
        17:{1,2,4,5,7}:{(8,1),(9,1),(21,1),(26,1),(52,1),(54,1),(79,1)}
        18:{1,3,5,6}:{(9,1),(26,1),(28,1)}
        19:{1,2,4,5,7}:{(10,1),(11,1),(22,1),(29,1),(51,1),(58,1),(82,1)}
        20:{2,3,5,6}:{(11,1),(29,1),(31,1)}
        21:{1,2,4,6,7}:{(12,1),(15,1),(17,1),(32,1),(36,1)}
        22:{1,2,4,6,7}:{(13,1),(14,1),(19,1),(33,1),(35,1)}
        23:{2,3,5,6,7}:{(14,1),(16,1),(33,1),(35,1),(65,1)}
        24:{1,3,5,6,7}:{(15,1),(16,1),(32,1),(36,1),(63,1)}
        25:{3,4,6,7}:{(16,1),(35,1),(36,1),(37,1)}
        26:{1,3,5,7}:{(17,1),(18,1),(32,1),(39,1)}
        27:{1,2,3,5,6}:{(18,1),(38,1),(40,1),(73,1),(91,1),(96,1)}
        28:{1,3,4,6}:{(18,1),(39,1),(40,1),(41,1)}
        29:{2,3,5,7}:{(19,1),(20,1),(33,1),(43,1)}
        30:{1,2,3,5,6}:{(20,1),(42,1),(44,1),(77,1),(93,1),(97,1)}
        31:{2,3,4,6}:{(20,1),(43,1),(44,1),(45,1)}
        32:{1,3,6,7}:{(21,1),(26,1)}
        33:{2,3,6,7}:{(22,1),(29,1)}
        34:{1,2,3,5,6,7}:{(23,1),(24,1),(46,1),(48,1),(50,1),(79,1),(82,1),(84,1),(99,1),(101,1)}
        35:{2,4,6,7}:{(23,1),(25,1),(51,1)}
        36:{1,4,6,7}:{(24,1),(25,1),(52,1)}
        37:{3,4,5,7}:{(25,1),(51,1),(52,1),(53,1),(84,1)}
        38:{1,2,3,5,7}:{(26,1),(27,1),(46,1),(54,1),(79,1),(86,1)}
        39:{1,3,4,7}:{(26,1),(28,1),(54,1)}
        40:{1,2,4,6}:{(27,1),(28,1),(54,1),(56,1),(57,1)}
        41:{1,3,4,5}:{(28,1),(57,1)}
        42:{1,2,3,5,7}:{(29,1),(30,1),(48,1),(58,1),(82,1),(88,1)}
        43:{2,3,4,7}:{(29,1),(31,1),(58,1)}
        44:{1,2,4,6}:{(30,1),(31,1),(58,1),(60,1),(61,1)}
        45:{2,3,4,5}:{(31,1),(61,1)}
        46:{1,2,3,6,7}:{(32,1),(38,1),(62,1),(96,1)}
        47:{1,3,4,6,7}:{(32,1),(36,1),(39,1),(62,1),(63,1),(66,1),(72,1)}
        48:{1,2,3,6,7}:{(33,1),(42,1),(64,1),(97,1)}
        49:{2,3,4,6,7}:{(33,1),(35,1),(43,1),(64,1),(65,1),(66,1),(76,1)}
        50:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(66,1),(67,1),(103,1),(104,1)}
        51:{2,4,5,7}:{(35,1),(37,1),(65,1),(68,1)}
        52:{1,4,5,7}:{(36,1),(37,1),(63,1),(69,1)}
        53:{3,4,5,6}:{(37,1),(68,1),(69,1),(95,1)}
        54:{1,2,4,7}:{(38,1),(39,1),(40,1),(70,1)}
        55:{1,3,4,5,7}:{(39,1),(41,1),(63,1),(71,1),(72,1),(94,1)}
        56:{2,3,4,6}:{(40,1),(70,1),(73,1),(96,1)}
        57:{1,2,4,5}:{(40,1),(41,1),(73,1)}
        58:{1,2,4,7}:{(42,1),(43,1),(44,1),(74,1)}
        59:{2,3,4,5,7}:{(43,1),(45,1),(65,1),(75,1),(76,1),(94,1)}
        60:{1,3,4,6}:{(44,1),(74,1),(77,1),(97,1)}
        61:{1,2,4,5}:{(44,1),(45,1),(77,1)}
        62:{1,2,4,6,7}:{(46,1),(47,1),(54,1),(78,1),(79,1),(87,1)}
        63:{1,3,5,7}:{(47,1),(52,1),(79,1),(80,1),(84,1)}
        64:{1,2,4,6,7}:{(48,1),(49,1),(58,1),(81,1),(82,1),(89,1)}
        65:{2,3,5,7}:{(49,1),(51,1),(82,1),(83,1),(84,1)}
        66:{3,4,6,7}:{(50,1),(84,1),(102,1)}
        67:{1,2,4,5,7}:{(50,1),(51,1),(52,1),(79,1),(82,1),(84,1),(85,1),(98,1),(100,1)}
        68:{2,4,5,6}:{(51,1),(53,1),(83,1)}
        69:{1,4,5,6}:{(52,1),(53,1),(80,1)}
        70:{2,3,4,7}:{(54,1),(56,1),(86,1)}
        71:{1,2,4,5,7}:{(54,1),(55,1),(57,1),(79,1),(86,1),(87,1),(98,1)}
        72:{1,3,4,6}:{(55,1),(80,1),(87,1),(102,1)}
        73:{2,3,5}:{(56,1),(57,1)}
        74:{1,3,4,7}:{(58,1),(60,1),(88,1)}
        75:{1,2,4,5,7}:{(58,1),(59,1),(61,1),(82,1),(88,1),(89,1),(100,1)}
        76:{2,3,4,6}:{(59,1),(83,1),(89,1),(102,1)}
        77:{1,3,5}:{(60,1),(61,1)}
        78:{2,3,4,6,7}:{(62,1),(66,1),(70,1),(90,1),(96,1),(103,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(90,1),(91,1)}
        80:{1,3,5,6}:{(63,1),(69,1),(72,1),(91,1),(95,1)}
        81:{1,3,4,6,7}:{(64,1),(66,1),(74,1),(92,1),(97,1),(104,1)}
        82:{1,2,5,7}:{(64,1),(65,1),(92,1),(93,1)}
        83:{2,3,5,6}:{(65,1),(68,1),(76,1),(93,1),(95,1)}
        84:{3,5,7}:{(66,1),(67,1),(95,1)}
        85:{1,2,4,5,6}:{(67,1),(68,1),(69,1),(91,1),(93,1),(95,1),(103,1),(104,1)}
        86:{2,3,5,7}:{(70,1),(71,1),(73,1),(96,1)}
        87:{1,2,4,6}:{(71,1),(72,1),(91,1),(96,1),(103,1)}
        88:{1,3,5,7}:{(74,1),(75,1),(77,1),(97,1)}
        89:{1,2,4,6}:{(75,1),(76,1),(93,1),(97,1),(104,1)}
        90:{2,3,5,7}:{(78,1),(79,1),(84,1),(98,1),(99,1)}
        91:{1,2,5,6}:{(79,1),(80,1),(87,1),(99,1)}
        92:{1,3,5,7}:{(81,1),(82,1),(84,1),(100,1),(101,1)}
        93:{1,2,5,6}:{(82,1),(83,1),(89,1),(101,1)}
        94:{3,4,5,7}:{(84,1),(98,1),(100,1),(102,1)}
        95:{3,5,6}:{(84,1),(85,1),(102,1)}
        96:{2,3,6}:{(86,1),(87,1)}
        97:{1,3,6}:{(88,1),(89,1)}
        98:{2,4,5,7}:{(90,1),(94,1),(103,1)}
        99:{2,3,5,6}:{(90,1),(91,1),(95,1),(96,1),(103,1)}
       100:{1,4,5,7}:{(92,1),(94,1),(104,1)}
       101:{1,3,5,6}:{(92,1),(93,1),(95,1),(97,1),(104,1)}
       102:{3,4,6}:{(94,1),(95,1),(103,1),(104,1)}
       103:{2,4,6}:{(98,1),(99,1),(102,1)}
       104:{1,4,6}:{(100,1),(101,1),(102,1)}

2104 :  0:{2,3,4,5,7}:{(3,1),(4,1),(18,1),(35,1),(67,1)}
        1:{1,3,4,5,7}:{(3,1),(5,1),(20,1),(35,1),(67,1)}
        2:{1,2,3,4,7}:{(6,1),(7,1),(52,1),(83,1)}
        3:{1,2,4,5,7}:{(0,1),(1,1),(7,1),(8,1),(23,1),(27,1),(52,1)}
        4:{2,3,4,6}:{(0,1),(8,1),(9,1),(51,1)}
        5:{1,3,4,6}:{(1,1),(8,1),(11,1),(51,1)}
        6:{1,2,3,4,6}:{(2,1),(13,1),(14,1),(36,1),(63,1),(81,1)}
        7:{1,2,3,5,7}:{(2,1),(3,1),(13,1),(14,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(5,1),(14,1),(15,1)}
        9:{2,3,5,6}:{(4,1),(15,1),(17,1),(18,1),(38,1)}
       10:{2,3,4,6,7}:{(4,1),(16,1),(18,1),(33,1),(60,1),(67,1)}
       11:{1,3,5,6}:{(5,1),(15,1),(19,1),(20,1),(38,1)}
       12:{1,3,4,6,7}:{(5,1),(16,1),(20,1),(34,1),(60,1),(67,1)}
       13:{1,2,3,5}:{(6,1),(23,1)}
       14:{1,2,3,6}:{(7,1),(8,1)}
       15:{1,2,5,6}:{(8,1),(9,1),(11,1),(27,1)}
       16:{1,2,4,6,7}:{(8,1),(10,1),(12,1),(25,1),(27,1),(52,1)}
       17:{2,4,5,6}:{(9,1),(28,1),(29,1)}
       18:{2,3,5,7}:{(9,1),(10,1),(27,1),(29,1),(55,1)}
       19:{1,4,5,6}:{(11,1),(30,1),(31,1)}
       20:{1,3,5,7}:{(11,1),(12,1),(27,1),(31,1),(55,1)}
       21:{2,3,5,6,7}:{(18,1),(32,1),(33,1),(58,1),(60,1)}
       22:{1,3,5,6,7}:{(20,1),(32,1),(34,1),(59,1),(60,1)}
       23:{1,2,4,5}:{(13,1),(35,1),(36,1)}
       24:{1,2,3,5,6}:{(13,1),(14,1),(15,1),(36,1),(37,1),(38,1),(68,1),(81,1)}
       25:{1,2,3,6,7}:{(14,1),(16,1),(37,1),(60,1),(80,1)}
       26:{1,2,4,5,6}:{(15,1),(17,1),(19,1),(36,1),(38,1),(39,1),(40,1),(42,1),(68,1)}
       27:{1,2,5,7}:{(15,1),(16,1),(18,1),(20,1)}
       28:{3,4,5,6}:{(17,1),(38,1),(40,1),(41,1)}
       29:{2,4,5,7}:{(17,1),(18,1),(33,1),(41,1)}
       30:{3,4,5,6}:{(19,1),(38,1),(42,1),(43,1)}
       31:{1,4,5,7}:{(19,1),(20,1),(34,1),(43,1)}
       32:{1,2,5,6,7}:{(21,1),(22,1),(27,1),(46,1),(71,1),(72,1)}
       33:{2,4,6,7}:{(21,1),(29,1),(47,1)}
       34:{1,4,6,7}:{(22,1),(31,1),(48,1)}
       35:{3,4,5}:{(23,1),(51,1)}
       36:{1,2,4,6}:{(23,1),(24,1),(51,1),(52,1)}
       37:{1,2,3,5,7}:{(24,1),(25,1),(27,1),(52,1),(55,1),(79,1),(83,1)}
       38:{3,5,6}:{(26,1),(51,1),(55,1)}
       39:{1,2,4,5,7}:{(26,1),(27,1),(29,1),(31,1),(46,1),(52,1),(55,1),(56,1),(57,1),(79,1)}
       40:{1,4,5,6}:{(28,1),(54,1),(56,1)}
       41:{3,4,5,7}:{(28,1),(29,1),(47,1),(55,1),(56,1)}
       42:{2,4,5,6}:{(30,1),(53,1),(57,1)}
       43:{3,4,5,7}:{(30,1),(31,1),(48,1),(55,1),(57,1)}
       44:{2,4,5,6,7}:{(33,1),(58,1)}
       45:{1,4,5,6,7}:{(34,1),(59,1)}
       46:{1,2,4,6,7}:{(32,1),(33,1),(34,1),(39,1),(60,1),(61,1),(62,1),(80,1)}
       47:{3,4,6,7}:{(33,1),(41,1),(58,1),(60,1),(61,1)}
       48:{3,4,6,7}:{(34,1),(43,1),(59,1),(60,1),(62,1)}
       49:{2,3,4,5}:{(35,1),(64,1),(65,1)}
       50:{1,3,4,5}:{(35,1),(64,1),(66,1)}
       51:{3,4,6}:{(35,1),(36,1),(38,1),(67,1)}
       52:{1,2,4,7}:{(36,1),(37,1),(67,1)}
       53:{2,3,5,6}:{(38,1),(42,1),(65,1),(68,1),(69,1)}
       54:{1,3,5,6}:{(38,1),(40,1),(66,1),(68,1),(70,1)}
       55:{3,5,7}:{(38,1),(39,1),(60,1),(67,1)}
       56:{1,4,5,7}:{(40,1),(41,1),(61,1),(70,1)}
       57:{2,4,5,7}:{(42,1),(43,1),(62,1),(69,1)}
       58:{3,5,6,7}:{(44,1),(47,1),(71,1)}
       59:{3,5,6,7}:{(45,1),(48,1),(72,1)}
       60:{3,6,7}:{(46,1),(55,1)}
       61:{1,4,6,7}:{(47,1),(56,1),(71,1),(74,1)}
       62:{2,4,6,7}:{(48,1),(57,1),(72,1),(73,1)}
       63:{1,2,3,4}:{(75,1)}
       64:{1,2,4,5}:{(49,1),(50,1),(75,1),(76,1)}
       65:{2,3,4,6}:{(49,1),(51,1),(53,1),(76,1),(77,1)}
       66:{1,3,4,6}:{(50,1),(51,1),(54,1),(76,1),(78,1)}
       67:{3,4,7}:{(51,1),(52,1),(55,1)}
       68:{1,2,5,6}:{(53,1),(54,1),(76,1),(79,1)}
       69:{2,3,5,7}:{(53,1),(55,1),(57,1),(73,1),(77,1),(79,1)}
       70:{1,3,5,7}:{(54,1),(55,1),(56,1),(74,1),(78,1),(79,1)}
       71:{1,5,6,7}:{(58,1),(61,1)}
       72:{2,5,6,7}:{(59,1),(62,1)}
       73:{2,3,6,7}:{(60,1),(62,1),(69,1),(80,1)}
       74:{1,3,6,7}:{(60,1),(61,1),(70,1),(80,1)}
       75:{1,2,3,5}:{(63,1),(64,1),(81,1)}
       76:{1,2,4,6}:{(64,1),(65,1),(66,1),(68,1),(81,1),(82,1)}
       77:{2,3,4,7}:{(65,1),(67,1),(69,1),(82,1)}
       78:{1,3,4,7}:{(66,1),(67,1),(70,1),(82,1)}
       79:{1,2,5,7}:{(68,1),(69,1),(70,1),(80,1),(82,1)}
       80:{1,2,6,7}:{(73,1),(74,1),(79,1)}
       81:{1,2,3,6}:{(75,1),(76,1),(83,1)}
       82:{1,2,4,7}:{(76,1),(77,1),(78,1),(79,1),(83,1)}
       83:{1,2,3,7}:{(81,1),(82,1)}

2105 :  0:{1,2,3,4,7}:{(1,1),(2,1),(32,1),(82,1)}
        1:{1,2,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(42,1),(73,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        3:{1,3,4,5,7}:{(5,1),(8,1),(20,1),(24,1),(46,1)}
        4:{2,3,4,5,7}:{(5,1),(9,1),(20,1),(26,1),(46,1)}
        5:{1,2,4,5,7}:{(2,1),(3,1),(4,1),(10,1),(11,1),(28,1),(32,1)}
        6:{1,2,3,5}:{(1,1),(11,1)}
        7:{1,2,3,6}:{(2,1),(10,1)}
        8:{1,3,4,6}:{(3,1),(10,1),(14,1),(31,1)}
        9:{2,3,4,6}:{(4,1),(10,1),(16,1),(31,1)}
       10:{1,2,4,6}:{(5,1),(7,1),(8,1),(9,1),(18,1)}
       11:{1,2,4,5}:{(6,1),(20,1),(21,1)}
       12:{1,2,3,5,6}:{(6,1),(7,1),(18,1),(21,1),(22,1),(40,1),(70,1),(73,1)}
       13:{1,2,3,6,7}:{(7,1),(19,1),(22,1),(69,1),(83,1)}
       14:{1,3,5,6}:{(8,1),(18,1),(23,1),(24,1),(40,1)}
       15:{1,3,4,6,7}:{(8,1),(19,1),(24,1),(46,1),(47,1),(69,1)}
       16:{2,3,5,6}:{(9,1),(18,1),(25,1),(26,1),(40,1)}
       17:{2,3,4,6,7}:{(9,1),(19,1),(26,1),(46,1),(50,1),(69,1)}
       18:{1,2,5,6}:{(10,1),(14,1),(16,1),(28,1)}
       19:{1,2,4,6,7}:{(10,1),(13,1),(15,1),(17,1),(28,1),(32,1)}
       20:{3,4,5}:{(11,1),(31,1)}
       21:{1,2,4,6}:{(11,1),(12,1),(31,1),(32,1)}
       22:{1,2,3,5,7}:{(12,1),(13,1),(28,1),(32,1),(58,1),(81,1),(82,1)}
       23:{1,4,5,6}:{(14,1),(34,1),(35,1)}
       24:{1,3,5,7}:{(14,1),(15,1),(28,1),(35,1),(58,1)}
       25:{2,4,5,6}:{(16,1),(37,1),(38,1)}
       26:{2,3,5,7}:{(16,1),(17,1),(28,1),(38,1),(58,1)}
       27:{1,2,4,5,6}:{(18,1),(21,1),(23,1),(25,1),(40,1),(41,1),(48,1),(51,1),(70,1)}
       28:{1,2,5,7}:{(18,1),(19,1),(24,1),(26,1)}
       29:{2,3,4,5}:{(20,1),(43,1),(44,1)}
       30:{1,3,4,5}:{(20,1),(43,1),(45,1)}
       31:{3,4,6}:{(20,1),(21,1),(40,1),(46,1)}
       32:{1,2,4,7}:{(21,1),(22,1),(46,1)}
       33:{1,3,5,6,7}:{(24,1),(39,1),(47,1),(67,1),(69,1)}
       34:{3,4,5,6}:{(23,1),(40,1),(48,1),(49,1)}
       35:{1,4,5,7}:{(23,1),(24,1),(47,1),(49,1)}
       36:{2,3,5,6,7}:{(26,1),(39,1),(50,1),(68,1),(69,1)}
       37:{3,4,5,6}:{(25,1),(40,1),(51,1),(52,1)}
       38:{2,4,5,7}:{(25,1),(26,1),(50,1),(52,1)}
       39:{1,2,5,6,7}:{(28,1),(33,1),(36,1),(55,1),(77,1),(78,1)}
       40:{3,5,6}:{(27,1),(31,1),(58,1)}
       41:{1,2,4,5,7}:{(27,1),(28,1),(32,1),(35,1),(38,1),(55,1),(58,1),(64,1),(66,1),(81,1)}
       42:{1,2,3,4}:{(59,1)}
       43:{1,2,4,5}:{(29,1),(30,1),(59,1),(60,1)}
       44:{2,3,4,6}:{(29,1),(31,1),(56,1),(60,1),(61,1)}
       45:{1,3,4,6}:{(30,1),(31,1),(57,1),(60,1),(62,1)}
       46:{3,4,7}:{(31,1),(32,1),(58,1)}
       47:{1,4,6,7}:{(33,1),(35,1),(63,1)}
       48:{2,4,5,6}:{(34,1),(56,1),(64,1)}
       49:{3,4,5,7}:{(34,1),(35,1),(58,1),(63,1),(64,1)}
       50:{2,4,6,7}:{(36,1),(38,1),(65,1)}
       51:{1,4,5,6}:{(37,1),(57,1),(66,1)}
       52:{3,4,5,7}:{(37,1),(38,1),(58,1),(65,1),(66,1)}
       53:{1,4,5,6,7}:{(47,1),(67,1)}
       54:{2,4,5,6,7}:{(50,1),(68,1)}
       55:{1,2,4,6,7}:{(39,1),(41,1),(47,1),(50,1),(69,1),(75,1),(76,1),(83,1)}
       56:{2,3,5,6}:{(40,1),(44,1),(48,1),(70,1),(71,1)}
       57:{1,3,5,6}:{(40,1),(45,1),(51,1),(70,1),(72,1)}
       58:{3,5,7}:{(40,1),(41,1),(46,1),(69,1)}
       59:{1,2,3,5}:{(42,1),(43,1),(73,1)}
       60:{1,2,4,6}:{(43,1),(44,1),(45,1),(70,1),(73,1),(74,1)}
       61:{2,3,4,7}:{(44,1),(46,1),(71,1),(74,1)}
       62:{1,3,4,7}:{(45,1),(46,1),(72,1),(74,1)}
       63:{3,4,6,7}:{(47,1),(49,1),(67,1),(69,1),(75,1)}
       64:{2,4,5,7}:{(48,1),(49,1),(71,1),(75,1)}
       65:{3,4,6,7}:{(50,1),(52,1),(68,1),(69,1),(76,1)}
       66:{1,4,5,7}:{(51,1),(52,1),(72,1),(76,1)}
       67:{3,5,6,7}:{(53,1),(63,1),(77,1)}
       68:{3,5,6,7}:{(54,1),(65,1),(78,1)}
       69:{3,6,7}:{(55,1),(58,1)}
       70:{1,2,5,6}:{(56,1),(57,1),(60,1),(81,1)}
       71:{2,3,5,7}:{(56,1),(58,1),(61,1),(64,1),(79,1),(81,1)}
       72:{1,3,5,7}:{(57,1),(58,1),(62,1),(66,1),(80,1),(81,1)}
       73:{1,2,3,6}:{(59,1),(60,1),(82,1)}
       74:{1,2,4,7}:{(60,1),(61,1),(62,1),(81,1),(82,1)}
       75:{2,4,6,7}:{(63,1),(64,1),(77,1),(79,1)}
       76:{1,4,6,7}:{(65,1),(66,1),(78,1),(80,1)}
       77:{2,5,6,7}:{(67,1),(75,1)}
       78:{1,5,6,7}:{(68,1),(76,1)}
       79:{2,3,6,7}:{(69,1),(71,1),(75,1),(83,1)}
       80:{1,3,6,7}:{(69,1),(72,1),(76,1),(83,1)}
       81:{1,2,5,7}:{(70,1),(71,1),(72,1),(74,1),(83,1)}
       82:{1,2,3,7}:{(73,1),(74,1)}
       83:{1,2,6,7}:{(79,1),(80,1),(81,1)}

2106 :   0:{1,3,4,5,6}:{(2,1),(3,1),(38,1),(63,1),(92,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(22,1),(97,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(47,1),(50,1),(79,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(26,1),(77,1),(80,1)}
         4:{1,4,5,6,7}:{(1,1),(10,1),(91,1)}
         5:{2,4,5,6,7}:{(1,1),(11,1),(101,1)}
         6:{1,3,4,6,7}:{(2,1),(10,1),(13,1),(33,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(13,1),(14,1),(36,1),(61,1),(65,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1)}
         9:{2,3,4,5,6}:{(17,1),(18,1),(63,1),(71,1),(102,1)}
        10:{1,3,5,6,7}:{(4,1),(6,1),(20,1),(22,1),(79,1)}
        11:{2,3,5,6,7}:{(5,1),(19,1),(21,1),(22,1),(95,1)}
        12:{1,2,4,5,6,7}:{(4,1),(5,1),(20,1),(21,1),(22,1),(45,1),(46,1),(76,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(23,1),(45,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(23,1),(25,1)}
        15:{1,2,3,5,6}:{(8,1),(24,1),(26,1),(53,1),(80,1),(81,1)}
        16:{2,3,4,6}:{(8,1),(25,1),(26,1),(27,1)}
        17:{2,3,4,5,7}:{(9,1),(19,1),(28,1),(47,1),(82,1),(95,1)}
        18:{1,2,4,5,6}:{(9,1),(28,1),(29,1),(56,1),(78,1),(96,1)}
        19:{2,3,4,6,7}:{(11,1),(17,1),(30,1),(33,1)}
        20:{1,2,5,6,7}:{(10,1),(13,1),(31,1),(65,1)}
        21:{1,2,5,6,7}:{(11,1),(30,1),(32,1),(87,1)}
        22:{3,5,6,7}:{(12,1),(33,1),(89,1)}
        23:{2,3,6,7}:{(13,1),(14,1)}
        24:{1,2,3,5,7}:{(14,1),(15,1),(34,1),(36,1),(65,1),(67,1)}
        25:{2,3,4,7}:{(14,1),(16,1),(36,1)}
        26:{1,2,4,6}:{(15,1),(16,1),(36,1),(38,1),(39,1)}
        27:{2,3,4,5}:{(16,1),(39,1)}
        28:{1,2,4,5,7}:{(17,1),(18,1),(30,1),(40,1),(62,1),(69,1),(87,1)}
        29:{1,3,5,6}:{(18,1),(40,1),(42,1)}
        30:{1,2,4,6,7}:{(19,1),(21,1),(28,1),(43,1),(46,1)}
        31:{2,3,5,6,7}:{(20,1),(22,1),(23,1),(45,1),(49,1)}
        32:{1,3,5,6,7}:{(21,1),(22,1),(43,1),(46,1),(74,1)}
        33:{3,4,6,7}:{(22,1),(45,1),(46,1),(47,1)}
        34:{1,2,3,6,7}:{(23,1),(24,1),(48,1),(81,1)}
        35:{2,3,4,6,7}:{(23,1),(25,1),(45,1),(48,1),(49,1),(52,1),(75,1)}
        36:{1,2,4,7}:{(24,1),(25,1),(26,1),(50,1)}
        37:{2,3,4,5,7}:{(25,1),(27,1),(49,1),(51,1),(52,1),(97,1)}
        38:{1,3,4,6}:{(26,1),(50,1),(53,1),(81,1)}
        39:{1,2,4,5}:{(26,1),(27,1),(53,1)}
        40:{1,3,5,7}:{(28,1),(29,1),(43,1),(55,1)}
        41:{1,2,3,5,6}:{(29,1),(54,1),(56,1),(85,1),(96,1),(100,1)}
        42:{1,3,4,6}:{(29,1),(55,1),(56,1),(57,1)}
        43:{1,3,6,7}:{(30,1),(40,1)}
        44:{1,2,3,5,6,7}:{(31,1),(32,1),(34,1),(58,1),(60,1),(65,1),(87,1),(89,1),(92,1),(102,1)}
        45:{2,4,6,7}:{(31,1),(33,1),(61,1)}
        46:{1,4,6,7}:{(32,1),(33,1),(62,1)}
        47:{3,4,5,7}:{(33,1),(61,1),(62,1),(63,1),(89,1)}
        48:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(64,1),(65,1),(68,1)}
        49:{2,3,5,7}:{(35,1),(61,1),(65,1),(66,1),(89,1)}
        50:{1,3,4,7}:{(36,1),(38,1),(67,1)}
        51:{1,2,4,5,7}:{(36,1),(37,1),(39,1),(65,1),(67,1),(68,1),(91,1)}
        52:{2,3,4,6}:{(37,1),(66,1),(68,1),(103,1)}
        53:{1,3,5}:{(38,1),(39,1)}
        54:{1,2,3,5,7}:{(40,1),(41,1),(58,1),(69,1),(87,1),(93,1)}
        55:{1,3,4,7}:{(40,1),(42,1),(69,1)}
        56:{1,2,4,6}:{(41,1),(42,1),(69,1),(71,1),(72,1)}
        57:{1,3,4,5}:{(42,1),(72,1)}
        58:{1,2,3,6,7}:{(43,1),(54,1),(73,1),(100,1)}
        59:{1,3,4,6,7}:{(43,1),(46,1),(55,1),(73,1),(74,1),(75,1),(84,1)}
        60:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(75,1),(76,1),(99,1),(104,1)}
        61:{2,4,5,7}:{(45,1),(47,1),(49,1),(77,1)}
        62:{1,4,5,7}:{(46,1),(47,1),(74,1),(78,1)}
        63:{3,4,5,6}:{(47,1),(77,1),(78,1),(98,1)}
        64:{1,3,4,6,7}:{(48,1),(50,1),(75,1),(79,1),(81,1),(99,1)}
        65:{1,2,5,7}:{(48,1),(49,1),(79,1),(80,1)}
        66:{2,3,5,6}:{(49,1),(52,1),(77,1),(80,1),(98,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(81,1)}
        68:{1,2,4,6}:{(51,1),(52,1),(80,1),(81,1),(99,1)}
        69:{1,2,4,7}:{(54,1),(55,1),(56,1),(82,1)}
        70:{1,3,4,5,7}:{(55,1),(57,1),(74,1),(83,1),(84,1),(97,1)}
        71:{2,3,4,6}:{(56,1),(82,1),(85,1),(100,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(85,1)}
        73:{1,2,4,6,7}:{(58,1),(59,1),(69,1),(86,1),(87,1),(94,1)}
        74:{1,3,5,7}:{(59,1),(62,1),(87,1),(88,1),(89,1)}
        75:{3,4,6,7}:{(60,1),(89,1),(103,1)}
        76:{1,2,4,5,7}:{(60,1),(61,1),(62,1),(65,1),(87,1),(89,1),(90,1),(91,1),(101,1)}
        77:{2,4,5,6}:{(61,1),(63,1),(66,1)}
        78:{1,4,5,6}:{(62,1),(63,1),(88,1)}
        79:{1,3,5,7}:{(64,1),(65,1),(89,1),(91,1),(92,1)}
        80:{1,2,5,6}:{(65,1),(66,1),(68,1),(92,1)}
        81:{1,3,6}:{(67,1),(68,1)}
        82:{2,3,4,7}:{(69,1),(71,1),(93,1)}
        83:{1,2,4,5,7}:{(69,1),(70,1),(72,1),(87,1),(93,1),(94,1),(101,1)}
        84:{1,3,4,6}:{(70,1),(88,1),(94,1),(103,1)}
        85:{2,3,5}:{(71,1),(72,1)}
        86:{2,3,4,6,7}:{(73,1),(75,1),(82,1),(95,1),(100,1),(104,1)}
        87:{1,2,5,7}:{(73,1),(74,1),(95,1),(96,1)}
        88:{1,3,5,6}:{(74,1),(78,1),(84,1),(96,1),(98,1)}
        89:{3,5,7}:{(75,1),(76,1),(98,1)}
        90:{1,2,4,5,6}:{(76,1),(77,1),(78,1),(80,1),(96,1),(98,1),(99,1),(104,1)}
        91:{1,4,5,7}:{(79,1),(97,1),(99,1)}
        92:{1,3,5,6}:{(79,1),(80,1),(81,1),(98,1),(99,1)}
        93:{2,3,5,7}:{(82,1),(83,1),(85,1),(100,1)}
        94:{1,2,4,6}:{(83,1),(84,1),(96,1),(100,1),(104,1)}
        95:{2,3,5,7}:{(86,1),(87,1),(89,1),(101,1),(102,1)}
        96:{1,2,5,6}:{(87,1),(88,1),(94,1),(102,1)}
        97:{3,4,5,7}:{(89,1),(91,1),(101,1),(103,1)}
        98:{3,5,6}:{(89,1),(90,1),(103,1)}
        99:{1,4,6}:{(91,1),(92,1),(103,1)}
       100:{2,3,6}:{(93,1),(94,1)}
       101:{2,4,5,7}:{(95,1),(97,1),(104,1)}
       102:{2,3,5,6}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{3,4,6}:{(97,1),(98,1),(99,1),(104,1)}
       104:{2,4,6}:{(101,1),(102,1),(103,1)}

2107 :   0:{1,3,4,5,6}:{(1,1),(2,1),(20,1),(66,1),(75,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(54,1),(62,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(60,1),(63,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(50,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(47,1),(51,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(30,1),(55,1),(60,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(37,1),(78,1)}
         8:{1,3,5,6,7}:{(3,1),(14,1),(16,1),(37,1),(54,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(38,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{2,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(43,1),(47,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(8,1),(65,1)}
        15:{2,4,5,6,7}:{(7,1),(24,1),(88,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(47,1)}
        17:{2,3,6,7}:{(9,1),(10,1)}
        18:{2,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{2,3,4,5}:{(11,1),(23,1)}
        20:{1,3,4,6}:{(13,1),(29,1),(30,1),(55,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(34,1),(55,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(29,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(30,1)}
        24:{2,3,5,6,7}:{(15,1),(32,1),(36,1),(37,1),(83,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(36,1),(37,1),(38,1),(59,1),(61,1)}
        26:{2,3,5,6,7}:{(16,1),(17,1),(37,1),(38,1),(39,1)}
        27:{2,3,4,6,7}:{(17,1),(18,1),(34,1),(38,1),(39,1),(40,1),(58,1)}
        28:{2,3,4,5,7}:{(18,1),(19,1),(35,1),(39,1),(40,1),(78,1)}
        29:{1,3,4,7}:{(20,1),(22,1),(43,1)}
        30:{1,3,5}:{(20,1),(23,1)}
        31:{2,3,4,5,6}:{(41,1),(44,1),(75,1),(91,1),(94,1)}
        32:{2,3,4,6,7}:{(24,1),(41,1),(45,1),(50,1)}
        33:{1,2,3,5,6,7}:{(21,1),(26,1),(46,1),(47,1),(49,1),(66,1),(69,1),(72,1),(93,1),(94,1)}
        34:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(42,1),(47,1),(48,1)}
        35:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(43,1),(47,1),(48,1),(65,1)}
        36:{1,2,5,6,7}:{(24,1),(45,1),(49,1),(93,1)}
        37:{3,5,6,7}:{(25,1),(50,1),(72,1)}
        38:{2,4,6,7}:{(26,1),(50,1),(51,1)}
        39:{2,3,5,7}:{(27,1),(47,1),(51,1),(52,1),(72,1)}
        40:{2,3,4,6}:{(28,1),(48,1),(52,1),(90,1)}
        41:{2,3,4,5,7}:{(31,1),(32,1),(53,1),(62,1),(83,1),(96,1)}
        42:{1,3,4,6,7}:{(29,1),(34,1),(54,1),(55,1),(58,1),(79,1)}
        43:{1,3,5,7}:{(29,1),(30,1),(35,1),(55,1)}
        44:{1,2,4,5,6}:{(31,1),(53,1),(56,1),(80,1),(86,1),(101,1)}
        45:{1,2,4,6,7}:{(32,1),(36,1),(53,1),(57,1),(61,1)}
        46:{1,2,4,6,7}:{(33,1),(38,1),(58,1),(59,1),(61,1),(79,1),(98,1)}
        47:{1,2,5,7}:{(34,1),(39,1),(54,1),(60,1)}
        48:{1,2,4,6}:{(35,1),(40,1),(55,1),(60,1),(79,1)}
        49:{1,3,5,6,7}:{(36,1),(37,1),(57,1),(61,1),(84,1)}
        50:{3,4,6,7}:{(37,1),(38,1),(61,1),(62,1)}
        51:{2,4,5,7}:{(38,1),(39,1),(62,1),(63,1)}
        52:{2,3,5,6}:{(39,1),(40,1),(60,1),(63,1),(85,1)}
        53:{1,2,4,5,7}:{(41,1),(44,1),(45,1),(64,1),(74,1),(87,1),(93,1)}
        54:{1,3,5,7}:{(42,1),(47,1),(65,1),(66,1),(72,1)}
        55:{1,3,6}:{(43,1),(48,1)}
        56:{1,3,5,6}:{(44,1),(64,1),(68,1)}
        57:{1,3,6,7}:{(45,1),(64,1)}
        58:{3,4,6,7}:{(46,1),(72,1),(90,1)}
        59:{1,2,4,5,7}:{(46,1),(47,1),(51,1),(65,1),(72,1),(73,1),(74,1),(88,1),(93,1)}
        60:{1,2,5,6}:{(47,1),(48,1),(52,1),(66,1)}
        61:{1,4,6,7}:{(49,1),(50,1),(74,1)}
        62:{3,4,5,7}:{(50,1),(51,1),(72,1),(74,1),(75,1)}
        63:{2,4,5,6}:{(51,1),(52,1),(75,1)}
        64:{1,3,5,7}:{(53,1),(56,1),(57,1),(77,1)}
        65:{1,4,5,7}:{(54,1),(78,1),(79,1)}
        66:{1,3,5,6}:{(54,1),(55,1),(60,1),(79,1),(85,1)}
        67:{1,2,3,5,6}:{(56,1),(76,1),(80,1),(100,1),(101,1),(104,1)}
        68:{1,3,4,6}:{(56,1),(77,1),(80,1),(81,1)}
        69:{1,2,3,6,7}:{(57,1),(76,1),(82,1),(104,1)}
        70:{2,3,4,6,7}:{(58,1),(82,1),(83,1),(96,1),(98,1),(104,1)}
        71:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(77,1),(82,1),(84,1),(99,1)}
        72:{3,5,7}:{(58,1),(59,1),(85,1)}
        73:{1,2,4,5,6}:{(59,1),(60,1),(63,1),(79,1),(85,1),(86,1),(98,1),(101,1)}
        74:{1,4,5,7}:{(61,1),(62,1),(84,1),(86,1)}
        75:{3,4,5,6}:{(62,1),(63,1),(85,1),(86,1)}
        76:{1,2,3,5,7}:{(64,1),(67,1),(69,1),(87,1),(93,1),(102,1)}
        77:{1,3,4,7}:{(64,1),(68,1),(87,1)}
        78:{3,4,5,7}:{(65,1),(72,1),(88,1),(90,1)}
        79:{1,4,6}:{(65,1),(66,1),(90,1)}
        80:{1,2,4,6}:{(67,1),(68,1),(87,1),(91,1),(92,1)}
        81:{1,3,4,5}:{(68,1),(92,1)}
        82:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(87,1),(93,1),(103,1)}
        83:{2,3,5,7}:{(70,1),(72,1),(88,1),(93,1),(94,1)}
        84:{1,3,5,7}:{(71,1),(72,1),(74,1),(93,1),(95,1)}
        85:{3,5,6}:{(72,1),(73,1),(90,1)}
        86:{1,4,5,6}:{(74,1),(75,1),(95,1)}
        87:{1,2,4,7}:{(76,1),(77,1),(80,1),(96,1)}
        88:{2,4,5,7}:{(78,1),(83,1),(98,1)}
        89:{1,3,4,5,7}:{(77,1),(78,1),(81,1),(84,1),(97,1),(99,1)}
        90:{3,4,6}:{(78,1),(79,1),(85,1),(98,1)}
        91:{2,3,4,6}:{(80,1),(96,1),(100,1),(104,1)}
        92:{1,2,4,5}:{(80,1),(81,1),(100,1)}
        93:{1,2,5,7}:{(82,1),(83,1),(84,1),(101,1)}
        94:{2,3,5,6}:{(83,1),(85,1),(98,1),(101,1),(104,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(86,1),(99,1),(101,1)}
        96:{2,3,4,7}:{(87,1),(91,1),(102,1)}
        97:{1,2,4,5,7}:{(87,1),(88,1),(89,1),(92,1),(93,1),(102,1),(103,1)}
        98:{2,4,6}:{(88,1),(90,1),(94,1)}
        99:{1,3,4,6}:{(89,1),(90,1),(95,1),(103,1)}
       100:{2,3,5}:{(91,1),(92,1)}
       101:{1,2,5,6}:{(93,1),(94,1),(95,1),(103,1)}
       102:{2,3,5,7}:{(96,1),(97,1),(100,1),(104,1)}
       103:{1,2,4,6}:{(97,1),(98,1),(99,1),(101,1),(104,1)}
       104:{2,3,6}:{(102,1),(103,1)}

2108 :   0:{1,3,4,5,6}:{(2,1),(3,1),(31,1),(62,1),(72,1)}
         1:{1,2,3,4,6}:{(4,1),(5,1),(20,1),(23,1)}
         2:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(20,1),(50,1),(56,1)}
         3:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(46,1),(77,1),(87,1)}
         4:{1,2,3,5}:{(1,1),(10,1)}
         5:{1,2,3,4,7}:{(1,1),(12,1),(34,1)}
         6:{2,3,4,5}:{(10,1),(14,1)}
         7:{2,3,5,6}:{(2,1),(14,1),(16,1)}
         8:{1,2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(34,1),(64,1),(71,1)}
         9:{1,3,4,6,7}:{(3,1),(17,1),(18,1),(73,1)}
        10:{1,2,4,5}:{(4,1),(6,1),(19,1),(20,1)}
        11:{1,2,3,5,6}:{(4,1),(7,1),(20,1),(22,1),(23,1),(45,1),(50,1)}
        12:{1,2,3,5,7}:{(4,1),(5,1),(21,1),(23,1)}
        13:{1,2,3,4,6,7}:{(5,1),(23,1),(24,1),(49,1),(52,1),(82,1),(117,1),(118,1),(119,1)}
        14:{2,3,4,6}:{(6,1),(7,1),(20,1),(26,1)}
        15:{2,3,4,5,7}:{(6,1),(21,1),(26,1),(27,1),(53,1),(55,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(26,1),(28,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(28,1),(29,1),(57,1)}
        18:{1,3,5,6,7}:{(9,1),(29,1),(30,1),(58,1),(77,1)}
        19:{1,3,4,5}:{(10,1),(31,1)}
        20:{1,2,4,6}:{(10,1),(11,1),(14,1),(31,1),(34,1)}
        21:{1,2,4,5,7}:{(10,1),(12,1),(15,1),(32,1),(34,1),(35,1),(64,1)}
        22:{1,2,3,5,7}:{(11,1),(16,1),(34,1),(36,1),(60,1),(64,1)}
        23:{1,2,3,6}:{(12,1),(35,1)}
        24:{1,2,3,5,7}:{(13,1),(37,1),(38,1),(64,1),(97,1),(130,1)}
        25:{2,3,4,5,6}:{(14,1),(33,1),(39,1),(41,1),(95,1)}
        26:{2,3,4,7}:{(14,1),(16,1),(34,1)}
        27:{2,3,4,6}:{(15,1),(35,1),(41,1),(67,1)}
        28:{2,3,6,7}:{(16,1),(17,1)}
        29:{1,2,5,6,7}:{(17,1),(18,1),(42,1),(64,1)}
        30:{1,4,5,6,7}:{(18,1),(44,1),(94,1)}
        31:{1,3,4,6}:{(19,1),(20,1),(45,1),(46,1)}
        32:{1,3,4,5,7}:{(19,1),(21,1),(46,1),(47,1),(53,1),(77,1)}
        33:{1,2,4,5,6}:{(20,1),(25,1),(45,1),(48,1),(50,1),(78,1)}
        34:{1,2,4,7}:{(20,1),(22,1),(26,1),(46,1)}
        35:{1,2,4,6}:{(21,1),(23,1),(27,1),(47,1),(50,1)}
        36:{1,2,3,6,7}:{(22,1),(23,1),(28,1),(49,1),(76,1)}
        37:{1,2,3,5,6}:{(23,1),(24,1),(50,1),(52,1),(81,1),(116,1),(118,1)}
        38:{1,2,4,5,7}:{(24,1),(52,1),(53,1)}
        39:{2,3,4,5,7}:{(25,1),(26,1),(48,1),(54,1),(55,1),(110,1)}
        40:{2,3,4,6,7}:{(26,1),(27,1),(28,1),(49,1),(55,1),(57,1),(82,1)}
        41:{2,3,5,6}:{(27,1),(50,1),(55,1),(56,1),(81,1)}
        42:{2,3,5,6,7}:{(28,1),(29,1),(55,1),(57,1),(58,1)}
        43:{1,2,4,5,6,7}:{(29,1),(30,1),(57,1),(58,1),(59,1),(80,1),(90,1),(92,1)}
        44:{3,4,5,6,7}:{(30,1),(58,1),(59,1),(110,1)}
        45:{1,3,5,6}:{(31,1),(33,1),(60,1)}
        46:{1,3,4,7}:{(31,1),(34,1),(60,1)}
        47:{1,3,4,6}:{(32,1),(35,1),(62,1),(67,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(39,1),(60,1),(63,1),(64,1),(94,1)}
        49:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(40,1),(61,1),(64,1)}
        50:{1,2,5,6}:{(35,1),(41,1),(62,1),(64,1)}
        51:{1,2,3,5,6,7}:{(36,1),(37,1),(42,1),(64,1),(66,1),(74,1),(93,1),(97,1),(129,1),(130,1),(132,1)}
        52:{1,2,4,6}:{(37,1),(38,1),(67,1)}
        53:{3,4,5,7}:{(38,1),(67,1),(97,1)}
        54:{2,3,4,6,7}:{(39,1),(63,1),(70,1),(124,1)}
        55:{2,3,5,7}:{(40,1),(41,1),(64,1),(71,1),(97,1)}
        56:{2,4,5,6}:{(41,1),(71,1),(72,1)}
        57:{2,4,6,7}:{(42,1),(71,1),(73,1)}
        58:{3,5,6,7}:{(43,1),(73,1),(97,1)}
        59:{2,4,5,6,7}:{(44,1),(75,1),(126,1)}
        60:{1,3,5,7}:{(45,1),(46,1),(48,1),(76,1)}
        61:{1,3,4,6,7}:{(46,1),(47,1),(49,1),(76,1),(77,1),(82,1),(109,1)}
        62:{1,3,5,6}:{(47,1),(50,1),(77,1),(78,1),(81,1)}
        63:{1,2,4,6,7}:{(48,1),(54,1),(76,1),(79,1),(109,1)}
        64:{1,2,5,7}:{(49,1),(50,1),(55,1),(77,1)}
        65:{1,2,4,5,6}:{(50,1),(52,1),(56,1),(78,1),(80,1),(81,1),(88,1),(112,1),(116,1)}
        66:{1,2,4,6,7}:{(51,1),(52,1),(57,1),(80,1),(82,1),(90,1),(109,1),(137,1)}
        67:{3,4,6}:{(52,1),(53,1),(81,1)}
        68:{1,3,4,5,7}:{(53,1),(83,1),(85,1),(114,1),(144,1),(145,1)}
        69:{2,3,4,5,7}:{(53,1),(84,1),(85,1),(115,1),(152,1),(153,1)}
        70:{2,3,5,6,7}:{(54,1),(55,1),(79,1),(86,1),(113,1)}
        71:{2,4,5,7}:{(55,1),(56,1),(57,1),(87,1)}
        72:{3,4,5,6}:{(56,1),(81,1),(87,1),(88,1)}
        73:{3,4,6,7}:{(57,1),(58,1),(87,1),(90,1)}
        74:{1,3,5,6,7}:{(58,1),(90,1),(92,1),(114,1),(123,1)}
        75:{2,3,5,6,7}:{(58,1),(59,1),(91,1),(92,1),(115,1)}
        76:{1,3,6,7}:{(60,1),(63,1)}
        77:{1,3,5,7}:{(61,1),(62,1),(64,1),(94,1),(97,1)}
        78:{1,4,5,6}:{(62,1),(94,1),(95,1)}
        79:{1,2,5,6,7}:{(63,1),(64,1),(70,1),(93,1)}
        80:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(71,1),(94,1),(97,1),(105,1),(126,1),(130,1)}
        81:{3,5,6}:{(65,1),(67,1),(97,1)}
        82:{3,4,6,7}:{(66,1),(67,1),(97,1)}
        83:{1,3,4,6}:{(67,1),(68,1),(98,1),(102,1)}
        84:{2,3,4,6}:{(67,1),(69,1),(99,1),(102,1)}
        85:{1,2,4,5,7}:{(68,1),(69,1),(102,1),(103,1),(130,1),(149,1),(150,1)}
        86:{2,4,5,6,7}:{(70,1),(71,1),(104,1)}
        87:{3,4,5,7}:{(71,1),(72,1),(73,1),(97,1),(105,1)}
        88:{1,4,5,6}:{(72,1),(98,1),(105,1)}
        89:{2,3,4,5,6}:{(72,1),(99,1),(106,1),(107,1),(148,1)}
        90:{1,4,6,7}:{(73,1),(74,1),(105,1)}
        91:{2,3,4,6,7}:{(73,1),(75,1),(106,1),(108,1)}
        92:{1,2,5,6,7}:{(74,1),(75,1),(108,1),(130,1)}
        93:{1,3,5,6,7}:{(76,1),(77,1),(79,1),(109,1),(113,1)}
        94:{1,4,5,7}:{(77,1),(78,1),(109,1),(110,1)}
        95:{3,4,5,6}:{(78,1),(81,1),(110,1),(112,1)}
        96:{1,2,4,5,6,7}:{(79,1),(80,1),(86,1),(109,1),(113,1),(120,1),(137,1),(140,1)}
        97:{3,5,7}:{(80,1),(81,1),(82,1)}
        98:{1,3,5,6}:{(81,1),(83,1),(88,1),(114,1),(116,1)}
        99:{2,3,5,6}:{(81,1),(84,1),(112,1),(115,1),(116,1)}
       100:{1,3,4,6,7}:{(82,1),(83,1),(90,1),(114,1),(117,1),(123,1),(144,1)}
       101:{2,3,4,6,7}:{(82,1),(84,1),(115,1),(117,1),(137,1),(151,1),(152,1)}
       102:{1,2,4,6}:{(83,1),(84,1),(85,1),(116,1),(118,1)}
       103:{1,2,3,5,7}:{(85,1),(118,1),(119,1),(143,1)}
       104:{3,4,5,6,7}:{(86,1),(87,1),(113,1),(120,1)}
       105:{1,4,5,7}:{(87,1),(88,1),(90,1),(114,1)}
       106:{2,3,4,5,7}:{(87,1),(89,1),(91,1),(115,1),(121,1),(152,1)}
       107:{1,2,4,5,6}:{(88,1),(89,1),(116,1),(121,1),(122,1),(142,1)}
       108:{1,2,4,6,7}:{(90,1),(91,1),(92,1),(121,1),(123,1)}
       109:{1,4,6,7}:{(93,1),(94,1),(124,1)}
       110:{3,4,5,7}:{(94,1),(95,1),(97,1),(124,1),(126,1)}
       111:{1,3,4,5,6}:{(95,1),(98,1),(125,1),(127,1),(135,1)}
       112:{2,4,5,6}:{(95,1),(99,1),(126,1)}
       113:{3,5,6,7}:{(96,1),(97,1),(124,1)}
       114:{1,3,5,7}:{(97,1),(98,1),(100,1),(105,1),(130,1)}
       115:{2,3,5,7}:{(97,1),(99,1),(101,1),(126,1),(130,1)}
       116:{1,2,5,6}:{(98,1),(99,1),(102,1),(130,1)}
       117:{1,2,4,6,7}:{(100,1),(101,1),(102,1),(130,1),(132,1),(149,1)}
       118:{1,2,3,6}:{(102,1),(103,1)}
       119:{1,2,3,4,7}:{(103,1),(133,1),(149,1)}
       120:{1,4,5,6,7}:{(104,1),(105,1),(128,1)}
       121:{1,2,4,5,7}:{(105,1),(106,1),(107,1),(108,1),(130,1),(134,1),(149,1)}
       122:{1,3,5,6}:{(107,1),(134,1),(135,1)}
       123:{1,3,6,7}:{(108,1),(134,1)}
       124:{3,4,6,7}:{(109,1),(110,1),(113,1),(137,1)}
       125:{1,3,4,5,7}:{(110,1),(111,1),(114,1),(136,1),(138,1),(144,1)}
       126:{2,4,5,7}:{(110,1),(112,1),(115,1),(137,1)}
       127:{1,2,4,5,6}:{(111,1),(112,1),(116,1),(138,1),(139,1),(142,1)}
       128:{1,3,5,6,7}:{(113,1),(114,1),(120,1),(136,1),(140,1)}
       129:{2,3,5,6,7}:{(113,1),(115,1),(137,1),(140,1),(151,1)}
       130:{1,2,5,7}:{(114,1),(115,1),(116,1),(117,1)}
       131:{1,2,3,5,6}:{(116,1),(118,1),(122,1),(139,1),(141,1),(142,1),(143,1)}
       132:{1,2,3,6,7}:{(117,1),(118,1),(123,1),(141,1),(151,1)}
       133:{1,2,3,4,6}:{(118,1),(119,1),(142,1),(143,1)}
       134:{1,3,5,7}:{(121,1),(122,1),(123,1),(144,1)}
       135:{1,3,4,6}:{(122,1),(142,1),(144,1),(145,1)}
       136:{1,3,4,6,7}:{(124,1),(125,1),(128,1),(146,1)}
       137:{2,4,6,7}:{(124,1),(126,1),(129,1)}
       138:{1,2,4,5,7}:{(125,1),(126,1),(127,1),(130,1),(146,1),(147,1),(149,1)}
       139:{2,3,5,6}:{(127,1),(147,1),(148,1)}
       140:{1,2,5,6,7}:{(128,1),(129,1),(130,1),(146,1)}
       141:{1,2,3,5,7}:{(130,1),(131,1),(132,1),(134,1),(147,1),(149,1)}
       142:{1,2,4,6}:{(131,1),(135,1),(148,1),(149,1),(150,1)}
       143:{1,2,3,5}:{(133,1),(150,1)}
       144:{1,3,4,7}:{(134,1),(135,1),(149,1)}
       145:{1,3,4,5}:{(135,1),(150,1)}
       146:{1,2,4,6,7}:{(136,1),(137,1),(138,1),(140,1),(151,1)}
       147:{2,3,5,7}:{(138,1),(139,1),(151,1),(152,1)}
       148:{2,3,4,6}:{(139,1),(142,1),(152,1),(153,1)}
       149:{1,2,4,7}:{(141,1),(142,1),(144,1),(152,1)}
       150:{1,2,4,5}:{(142,1),(143,1),(145,1),(153,1)}
       151:{2,3,6,7}:{(146,1),(147,1)}
       152:{2,3,4,7}:{(147,1),(148,1),(149,1)}
       153:{2,3,4,5}:{(148,1),(150,1)}

2109 :   0:{1,2,3,5,6,7}:{(2,1),(14,1),(20,1),(48,1),(56,1),(57,1),(58,1),(59,1),(66,1),(68,1),(103,1),(105,1),(114,1),(118,1),(144,1)}
         1:{1,2,4,5,6,7}:{(3,1),(13,1),(18,1),(19,1),(20,1),(65,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(83,1),(84,1),(96,1),(129,1),(137,1),(140,1),(159,1)}
         3:{3,5,6,7}:{(1,1),(7,1),(31,1),(94,1)}
         4:{1,2,4,5,6,7}:{(12,1),(13,1),(46,1),(47,1),(48,1),(102,1)}
         5:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(54,1),(55,1),(58,1),(155,1)}
         6:{3,4,6,7}:{(2,1),(14,1),(53,1),(66,1),(103,1),(120,1),(146,1),(154,1)}
         7:{3,4,6,7}:{(3,1),(17,1),(18,1),(19,1),(53,1),(66,1),(120,1)}
         8:{1,3,5,6,7}:{(3,1),(18,1),(20,1),(21,1),(56,1),(66,1),(118,1)}
         9:{2,3,5,6,7}:{(3,1),(19,1),(20,1),(57,1),(61,1),(66,1),(68,1)}
        10:{1,3,4,6,7}:{(18,1),(21,1),(22,1),(23,1),(66,1),(120,1)}
        11:{1,3,4,5,7}:{(21,1),(23,1),(24,1),(54,1),(107,1),(113,1),(120,1),(148,1),(157,1)}
        12:{3,5,6,7}:{(4,1),(25,1),(31,1),(127,1)}
        13:{1,2,4,5,6}:{(5,1),(31,1),(83,1),(84,1),(86,1)}
        14:{3,5,7}:{(5,1),(6,1),(31,1),(166,1)}
        15:{1,3,4,6,7}:{(6,1),(32,1),(34,1),(78,1),(83,1),(92,1),(129,1),(130,1),(135,1),(136,1),(140,1),(164,1)}
        16:{2,3,4,6,7}:{(6,1),(33,1),(34,1),(42,1),(84,1),(96,1),(97,1),(125,1),(135,1),(136,1),(159,1),(165,1)}
        17:{3,4,5,7}:{(7,1),(36,1),(37,1),(38,1),(94,1)}
        18:{1,4,6,7}:{(7,1),(8,1),(37,1),(83,1),(140,1)}
        19:{2,4,6,7}:{(7,1),(9,1),(38,1),(84,1),(96,1)}
        20:{1,2,5,6,7}:{(8,1),(9,1),(39,1),(41,1),(86,1),(91,1)}
        21:{1,3,5,7}:{(10,1),(37,1),(40,1),(41,1),(94,1)}
        22:{1,2,4,6,7}:{(10,1),(41,1),(42,1),(43,1),(96,1)}
        23:{1,3,4,6}:{(11,1),(40,1),(43,1),(83,1),(135,1),(141,1)}
        24:{1,2,4,5,7}:{(11,1),(41,1),(43,1),(44,1),(89,1),(96,1),(138,1),(142,1)}
        25:{3,4,6,7}:{(12,1),(45,1),(46,1),(47,1),(53,1),(103,1),(146,1)}
        26:{1,3,5,6,7}:{(12,1),(46,1),(48,1),(56,1),(98,1),(103,1),(105,1)}
        27:{2,3,5,6,7}:{(12,1),(47,1),(48,1),(49,1),(57,1),(103,1),(144,1)}
        28:{2,3,4,6,7}:{(47,1),(49,1),(50,1),(51,1),(103,1),(146,1)}
        29:{2,3,4,5,7}:{(49,1),(51,1),(52,1),(55,1),(70,1),(113,1),(122,1),(146,1),(169,1)}
        30:{3,4,5,7}:{(14,1),(53,1),(54,1),(55,1),(113,1),(120,1),(146,1),(157,1),(169,1)}
        31:{3,5,6}:{(13,1),(14,1),(53,1)}
        32:{1,3,5,7}:{(14,1),(15,1),(54,1),(56,1),(58,1),(113,1),(148,1),(171,1)}
        33:{2,3,5,7}:{(14,1),(16,1),(55,1),(57,1),(58,1),(113,1),(122,1),(172,1)}
        34:{1,2,4,6,7}:{(15,1),(16,1),(58,1),(59,1),(112,1),(115,1),(116,1),(170,1)}
        35:{2,3,4,6,7}:{(19,1),(61,1),(62,1),(66,1),(108,1),(120,1)}
        36:{3,4,5,6}:{(17,1),(53,1),(63,1),(64,1),(119,1),(169,1)}
        37:{1,4,5,7}:{(17,1),(18,1),(21,1),(63,1)}
        38:{2,4,5,7}:{(17,1),(19,1),(61,1),(64,1)}
        39:{1,2,4,6,7}:{(18,1),(19,1),(20,1),(65,1),(66,1),(112,1)}
        40:{1,3,5,6}:{(21,1),(23,1),(63,1),(67,1),(119,1),(148,1)}
        41:{1,2,5,7}:{(21,1),(22,1),(67,1),(68,1)}
        42:{2,3,6,7}:{(22,1),(66,1),(68,1),(69,1)}
        43:{1,2,4,6}:{(23,1),(24,1),(67,1),(69,1),(121,1)}
        44:{2,3,5,7}:{(24,1),(69,1),(70,1),(113,1),(122,1)}
        45:{3,4,5,7}:{(25,1),(72,1),(73,1),(74,1),(127,1)}
        46:{1,4,6,7}:{(25,1),(26,1),(73,1),(83,1),(129,1)}
        47:{2,4,6,7}:{(25,1),(27,1),(74,1),(84,1),(159,1)}
        48:{1,2,5,6,7}:{(26,1),(27,1),(75,1),(77,1),(86,1),(124,1)}
        49:{2,3,5,7}:{(28,1),(74,1),(76,1),(77,1),(127,1)}
        50:{1,2,4,6,7}:{(28,1),(77,1),(78,1),(79,1),(129,1)}
        51:{2,3,4,6}:{(29,1),(76,1),(79,1),(84,1),(135,1),(160,1)}
        52:{1,2,4,5,7}:{(29,1),(77,1),(79,1),(80,1),(89,1),(129,1),(138,1),(161,1)}
        53:{3,4,6}:{(30,1),(31,1),(83,1),(84,1),(135,1)}
        54:{1,4,5,7}:{(30,1),(32,1),(83,1),(129,1),(140,1),(161,1),(167,1)}
        55:{2,4,5,7}:{(30,1),(33,1),(84,1),(96,1),(142,1),(159,1),(173,1)}
        56:{1,3,5,6}:{(31,1),(32,1),(83,1),(86,1),(135,1)}
        57:{2,3,5,6}:{(31,1),(33,1),(84,1),(86,1),(135,1)}
        58:{1,2,5,7}:{(32,1),(33,1),(34,1),(86,1),(138,1),(174,1)}
        59:{1,2,3,6,7}:{(34,1),(42,1),(78,1),(87,1),(88,1),(92,1),(125,1),(135,1),(162,1)}
        60:{1,2,3,5,7}:{(44,1),(80,1),(88,1),(89,1),(138,1)}
        61:{2,3,5,7}:{(35,1),(38,1),(90,1),(91,1),(94,1)}
        62:{1,2,4,6,7}:{(35,1),(91,1),(92,1),(131,1),(140,1)}
        63:{1,4,5,6}:{(36,1),(37,1),(40,1),(83,1),(161,1)}
        64:{2,4,5,6}:{(36,1),(38,1),(84,1),(90,1),(173,1)}
        65:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(41,1),(91,1),(93,1),(94,1),(96,1),(140,1)}
        66:{3,6,7}:{(39,1),(94,1),(135,1)}
        67:{1,2,5,6}:{(40,1),(41,1),(43,1),(95,1),(138,1)}
        68:{2,3,5,7}:{(41,1),(42,1),(94,1),(95,1),(96,1)}
        69:{2,3,6}:{(43,1),(44,1),(135,1)}
        70:{2,3,4,7}:{(44,1),(89,1),(96,1),(97,1),(136,1)}
        71:{1,3,4,6,7}:{(46,1),(98,1),(99,1),(103,1),(110,1),(146,1)}
        72:{3,4,5,6}:{(45,1),(53,1),(100,1),(101,1),(145,1),(157,1)}
        73:{1,4,5,7}:{(45,1),(46,1),(98,1),(100,1)}
        74:{2,4,5,7}:{(45,1),(47,1),(49,1),(101,1)}
        75:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(102,1),(103,1),(112,1)}
        76:{2,3,5,6}:{(49,1),(51,1),(101,1),(104,1),(122,1),(145,1)}
        77:{1,2,5,7}:{(49,1),(50,1),(104,1),(105,1)}
        78:{1,3,6,7}:{(50,1),(103,1),(105,1),(106,1)}
        79:{1,2,4,6}:{(51,1),(52,1),(104,1),(106,1),(147,1)}
        80:{1,3,5,7}:{(52,1),(106,1),(107,1),(113,1),(148,1)}
        81:{2,3,4,5,7}:{(55,1),(61,1),(108,1),(109,1),(113,1),(120,1),(153,1),(157,1),(172,1)}
        82:{1,3,4,5,7}:{(54,1),(98,1),(110,1),(111,1),(113,1),(146,1),(151,1),(169,1),(171,1)}
        83:{1,4,6}:{(53,1),(54,1),(56,1)}
        84:{2,4,6}:{(53,1),(55,1),(57,1)}
        85:{1,2,4,5,7}:{(54,1),(55,1),(58,1),(112,1),(113,1),(115,1),(155,1)}
        86:{1,2,5,6}:{(56,1),(57,1),(58,1),(112,1)}
        87:{1,2,3,5,7}:{(58,1),(59,1),(68,1),(105,1),(113,1),(114,1),(115,1),(118,1),(144,1)}
        88:{1,2,3,6}:{(60,1),(69,1),(106,1),(116,1)}
        89:{1,2,4,7}:{(60,1),(70,1),(107,1),(116,1)}
        90:{2,3,5,6}:{(61,1),(64,1),(108,1),(117,1),(119,1),(172,1)}
        91:{1,2,5,7}:{(61,1),(62,1),(117,1),(118,1)}
        92:{1,3,6,7}:{(62,1),(66,1),(118,1),(150,1)}
        93:{1,2,4,5,6}:{(63,1),(64,1),(65,1),(67,1),(112,1),(117,1),(119,1),(121,1),(155,1),(156,1)}
        94:{3,5,7}:{(65,1),(66,1),(119,1),(120,1)}
        95:{2,3,5,6}:{(67,1),(68,1),(69,1),(119,1),(121,1),(122,1)}
        96:{2,4,7}:{(68,1),(120,1),(121,1)}
        97:{2,3,4,6}:{(69,1),(70,1),(116,1),(121,1),(122,1),(154,1)}
        98:{1,3,5,7}:{(71,1),(73,1),(123,1),(124,1),(127,1)}
        99:{1,2,4,6,7}:{(71,1),(124,1),(125,1),(133,1),(159,1)}
       100:{1,4,5,6}:{(72,1),(73,1),(83,1),(123,1),(167,1)}
       101:{2,4,5,6}:{(72,1),(74,1),(76,1),(84,1),(142,1)}
       102:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(77,1),(124,1),(126,1),(127,1),(129,1),(159,1)}
       103:{3,6,7}:{(75,1),(127,1),(135,1)}
       104:{1,2,5,6}:{(76,1),(77,1),(79,1),(128,1),(138,1)}
       105:{1,3,5,7}:{(77,1),(78,1),(127,1),(128,1),(129,1)}
       106:{1,3,6}:{(79,1),(80,1),(135,1)}
       107:{1,3,4,7}:{(80,1),(89,1),(129,1),(130,1),(136,1)}
       108:{2,3,4,6}:{(81,1),(84,1),(90,1),(131,1),(135,1),(141,1)}
       109:{1,2,4,5,7}:{(81,1),(91,1),(131,1),(132,1),(140,1),(163,1),(167,1),(174,1)}
       110:{1,3,4,6}:{(82,1),(83,1),(123,1),(133,1),(135,1),(160,1)}
       111:{1,2,4,5,7}:{(82,1),(124,1),(133,1),(134,1),(159,1),(163,1),(173,1),(174,1)}
       112:{1,2,4,6}:{(83,1),(84,1),(85,1),(86,1),(135,1)}
       113:{3,5,7}:{(85,1),(135,1),(136,1),(166,1)}
       114:{1,2,3,5,6}:{(86,1),(87,1),(88,1),(95,1),(128,1),(135,1),(137,1),(138,1),(139,1),(158,1),(162,1),(166,1),(174,1)}
       115:{1,2,4,7}:{(87,1),(96,1),(129,1),(136,1),(137,1),(140,1),(159,1)}
       116:{1,2,4,6}:{(88,1),(89,1),(97,1),(130,1),(138,1)}
       117:{1,2,5,6}:{(90,1),(91,1),(131,1),(139,1),(174,1)}
       118:{1,3,5,7}:{(91,1),(92,1),(94,1),(139,1),(140,1)}
       119:{3,5,6}:{(93,1),(94,1),(135,1),(141,1),(166,1)}
       120:{3,4,7}:{(94,1),(96,1),(140,1),(141,1)}
       121:{2,4,6}:{(95,1),(96,1),(141,1),(142,1)}
       122:{2,3,5}:{(97,1),(138,1),(142,1),(166,1)}
       123:{1,3,5,6}:{(98,1),(100,1),(110,1),(143,1),(145,1),(171,1)}
       124:{1,2,5,7}:{(98,1),(99,1),(143,1),(144,1)}
       125:{2,3,6,7}:{(99,1),(103,1),(144,1),(152,1)}
       126:{1,2,4,5,6}:{(100,1),(101,1),(102,1),(104,1),(112,1),(143,1),(145,1),(147,1),(155,1),(168,1)}
       127:{3,5,7}:{(102,1),(103,1),(145,1),(146,1)}
       128:{1,3,5,6}:{(104,1),(105,1),(106,1),(145,1),(147,1),(148,1)}
       129:{1,4,7}:{(105,1),(146,1),(147,1)}
       130:{1,3,4,6}:{(106,1),(107,1),(116,1),(147,1),(148,1),(154,1)}
       131:{1,2,4,6}:{(108,1),(109,1),(117,1),(150,1),(156,1)}
       132:{1,3,5,7}:{(109,1),(113,1),(150,1),(151,1),(171,1)}
       133:{1,2,4,6}:{(110,1),(111,1),(143,1),(152,1),(168,1)}
       134:{2,3,5,7}:{(111,1),(113,1),(152,1),(153,1),(172,1)}
       135:{3,6}:{(112,1),(113,1)}
       136:{3,4,7}:{(113,1),(115,1),(154,1)}
       137:{1,2,4,6}:{(114,1),(115,1),(121,1),(147,1),(154,1),(155,1),(156,1),(168,1)}
       138:{1,2,5}:{(116,1),(122,1),(148,1)}
       139:{1,3,5,6}:{(117,1),(118,1),(119,1),(150,1),(156,1),(171,1)}
       140:{1,4,7}:{(118,1),(120,1),(156,1)}
       141:{3,4,6}:{(119,1),(120,1),(121,1),(156,1),(157,1)}
       142:{2,4,5}:{(121,1),(122,1),(157,1)}
       143:{1,2,5,6}:{(123,1),(124,1),(133,1),(158,1),(174,1)}
       144:{2,3,5,7}:{(124,1),(125,1),(127,1),(158,1),(159,1)}
       145:{3,5,6}:{(126,1),(127,1),(135,1),(160,1),(166,1)}
       146:{3,4,7}:{(127,1),(129,1),(159,1),(160,1)}
       147:{1,4,6}:{(128,1),(129,1),(160,1),(161,1)}
       148:{1,3,5}:{(130,1),(138,1),(161,1),(166,1)}
       149:{1,2,3,5,7}:{(132,1),(134,1),(162,1),(163,1),(174,1)}
       150:{1,3,6}:{(131,1),(132,1),(135,1)}
       151:{1,3,4,7}:{(132,1),(136,1),(140,1),(163,1),(164,1)}
       152:{2,3,6}:{(133,1),(134,1),(135,1)}
       153:{2,3,4,7}:{(134,1),(136,1),(159,1),(163,1),(165,1)}
       154:{3,4,6}:{(135,1),(136,1),(137,1),(166,1)}
       155:{1,2,4,5}:{(137,1),(138,1),(142,1),(161,1),(166,1),(167,1),(173,1),(174,1)}
       156:{1,4,6}:{(139,1),(140,1),(141,1),(167,1)}
       157:{3,4,5}:{(141,1),(142,1),(166,1),(167,1)}
       158:{2,3,5,6}:{(143,1),(144,1),(145,1),(152,1),(168,1),(172,1)}
       159:{2,4,7}:{(144,1),(146,1),(168,1)}
       160:{3,4,6}:{(145,1),(146,1),(147,1),(168,1),(169,1)}
       161:{1,4,5}:{(147,1),(148,1),(169,1)}
       162:{1,2,3,6}:{(149,1),(150,1),(152,1),(170,1)}
       163:{1,2,4,7}:{(149,1),(151,1),(153,1),(170,1)}
       164:{1,3,4,6}:{(150,1),(151,1),(154,1),(156,1),(170,1),(171,1)}
       165:{2,3,4,6}:{(152,1),(153,1),(154,1),(168,1),(170,1),(172,1)}
       166:{3,5}:{(154,1),(155,1)}
       167:{1,4,5}:{(156,1),(157,1),(171,1)}
       168:{2,4,6}:{(158,1),(159,1),(160,1),(173,1)}
       169:{3,4,5}:{(160,1),(161,1),(166,1),(173,1)}
       170:{1,2,4,6}:{(162,1),(163,1),(164,1),(165,1),(174,1)}
       171:{1,3,5}:{(164,1),(166,1),(167,1),(174,1)}
       172:{2,3,5}:{(165,1),(166,1),(173,1),(174,1)}
       173:{2,4,5}:{(168,1),(169,1),(172,1)}
       174:{1,2,5}:{(170,1),(171,1),(172,1)}

2110 :  0:{1,3,4,5,7}:{(2,1),(3,1),(12,1),(61,1),(64,1)}
        1:{2,3,4,5,7}:{(2,1),(4,1),(13,1),(61,1),(64,1)}
        2:{1,2,4,5,7}:{(0,1),(1,1),(7,1),(8,1),(22,1),(48,1),(52,1)}
        3:{1,3,4,6}:{(0,1),(8,1),(9,1),(53,1)}
        4:{2,3,4,6}:{(1,1),(8,1),(10,1),(53,1)}
        5:{1,3,4,6,7}:{(3,1),(11,1),(12,1),(32,1),(58,1),(61,1)}
        6:{2,3,4,6,7}:{(4,1),(11,1),(13,1),(33,1),(58,1),(61,1)}
        7:{1,2,3,5,7}:{(2,1),(14,1),(15,1),(38,1)}
        8:{1,2,4,6}:{(2,1),(3,1),(4,1),(15,1),(16,1)}
        9:{1,3,5,6}:{(3,1),(12,1),(16,1),(17,1),(40,1)}
       10:{2,3,5,6}:{(4,1),(13,1),(16,1),(18,1),(40,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(8,1),(21,1),(22,1),(48,1)}
       12:{1,3,5,7}:{(5,1),(9,1),(22,1),(23,1),(49,1)}
       13:{2,3,5,7}:{(6,1),(10,1),(22,1),(24,1),(49,1)}
       14:{1,2,3,4,7}:{(7,1),(25,1),(48,1),(81,1)}
       15:{1,2,3,6}:{(7,1),(8,1)}
       16:{1,2,5,6}:{(8,1),(9,1),(10,1),(22,1)}
       17:{1,4,5,6}:{(9,1),(23,1),(28,1)}
       18:{2,4,5,6}:{(10,1),(24,1),(29,1)}
       19:{1,3,5,6,7}:{(12,1),(31,1),(32,1),(57,1),(58,1)}
       20:{2,3,5,6,7}:{(13,1),(31,1),(33,1),(43,1),(58,1)}
       21:{1,2,3,6,7}:{(11,1),(15,1),(34,1),(58,1),(77,1)}
       22:{1,2,5,7}:{(11,1),(12,1),(13,1),(16,1)}
       23:{1,4,5,7}:{(12,1),(17,1),(32,1),(36,1)}
       24:{2,4,5,7}:{(13,1),(18,1),(33,1),(37,1)}
       25:{1,2,3,4,6}:{(14,1),(15,1),(38,1),(39,1),(80,1),(83,1)}
       26:{1,2,3,5,6}:{(15,1),(16,1),(34,1),(38,1),(39,1),(40,1),(67,1),(80,1)}
       27:{1,2,4,5,6}:{(16,1),(17,1),(18,1),(35,1),(39,1),(40,1),(41,1),(42,1),(67,1)}
       28:{3,4,5,6}:{(17,1),(36,1),(40,1),(41,1)}
       29:{3,4,5,6}:{(18,1),(37,1),(40,1),(42,1)}
       30:{2,4,5,6,7}:{(33,1),(43,1)}
       31:{1,2,5,6,7}:{(19,1),(20,1),(22,1),(45,1),(56,1),(68,1)}
       32:{1,4,6,7}:{(19,1),(23,1),(46,1)}
       33:{2,4,6,7}:{(20,1),(24,1),(47,1)}
       34:{1,2,3,5,7}:{(21,1),(22,1),(26,1),(48,1),(49,1),(73,1),(81,1)}
       35:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(27,1),(45,1),(48,1),(49,1),(50,1),(51,1),(73,1)}
       36:{3,4,5,7}:{(23,1),(28,1),(46,1),(49,1),(50,1)}
       37:{3,4,5,7}:{(24,1),(29,1),(47,1),(49,1),(51,1)}
       38:{1,2,3,5}:{(25,1),(52,1)}
       39:{1,2,4,6}:{(26,1),(48,1),(52,1),(53,1)}
       40:{3,5,6}:{(27,1),(49,1),(53,1)}
       41:{2,4,5,6}:{(28,1),(50,1),(55,1)}
       42:{1,4,5,6}:{(29,1),(51,1),(54,1)}
       43:{3,5,6,7}:{(30,1),(47,1),(56,1)}
       44:{1,4,5,6,7}:{(32,1),(57,1)}
       45:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(35,1),(58,1),(59,1),(60,1),(77,1)}
       46:{3,4,6,7}:{(32,1),(36,1),(57,1),(58,1),(59,1)}
       47:{3,4,6,7}:{(33,1),(37,1),(43,1),(58,1),(60,1)}
       48:{1,2,4,7}:{(34,1),(39,1),(61,1)}
       49:{3,5,7}:{(35,1),(40,1),(58,1),(61,1)}
       50:{2,4,5,7}:{(36,1),(41,1),(59,1),(63,1)}
       51:{1,4,5,7}:{(37,1),(42,1),(60,1),(62,1)}
       52:{1,2,4,5}:{(38,1),(39,1),(64,1)}
       53:{3,4,6}:{(39,1),(40,1),(61,1),(64,1)}
       54:{1,3,5,6}:{(40,1),(42,1),(62,1),(65,1),(67,1)}
       55:{2,3,5,6}:{(40,1),(41,1),(63,1),(66,1),(67,1)}
       56:{1,5,6,7}:{(43,1),(60,1)}
       57:{3,5,6,7}:{(44,1),(46,1),(68,1)}
       58:{3,6,7}:{(45,1),(49,1)}
       59:{2,4,6,7}:{(46,1),(50,1),(68,1),(70,1)}
       60:{1,4,6,7}:{(47,1),(51,1),(56,1),(69,1)}
       61:{3,4,7}:{(48,1),(49,1),(53,1)}
       62:{1,3,5,7}:{(49,1),(51,1),(54,1),(69,1),(71,1),(73,1)}
       63:{2,3,5,7}:{(49,1),(50,1),(55,1),(70,1),(72,1),(73,1)}
       64:{3,4,5}:{(52,1),(53,1)}
       65:{1,3,4,6}:{(53,1),(54,1),(71,1),(74,1),(76,1)}
       66:{2,3,4,6}:{(53,1),(55,1),(72,1),(75,1),(76,1)}
       67:{1,2,5,6}:{(54,1),(55,1),(73,1),(76,1)}
       68:{2,5,6,7}:{(57,1),(59,1)}
       69:{1,3,6,7}:{(58,1),(60,1),(62,1),(77,1)}
       70:{2,3,6,7}:{(58,1),(59,1),(63,1),(77,1)}
       71:{1,3,4,7}:{(61,1),(62,1),(65,1),(78,1)}
       72:{2,3,4,7}:{(61,1),(63,1),(66,1),(78,1)}
       73:{1,2,5,7}:{(62,1),(63,1),(67,1),(77,1),(78,1)}
       74:{1,3,4,5}:{(64,1),(65,1),(79,1)}
       75:{2,3,4,5}:{(64,1),(66,1),(79,1)}
       76:{1,2,4,6}:{(65,1),(66,1),(67,1),(78,1),(79,1),(80,1)}
       77:{1,2,6,7}:{(69,1),(70,1),(73,1)}
       78:{1,2,4,7}:{(71,1),(72,1),(73,1),(76,1),(81,1)}
       79:{1,2,4,5}:{(74,1),(75,1),(76,1),(82,1)}
       80:{1,2,3,6}:{(76,1),(81,1),(82,1)}
       81:{1,2,3,7}:{(78,1),(80,1)}
       82:{1,2,3,5}:{(79,1),(80,1),(83,1)}
       83:{1,2,3,4}:{(82,1)}

2111 :   0:{2,3,4,5,7}:{(3,1),(4,1),(27,1),(39,1),(94,1),(144,1),(145,1),(152,1),(189,1),(191,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(31,1),(35,1),(86,1),(146,1),(150,1),(151,1),(189,1),(193,1)}
         2:{1,4,5,6,7}:{(7,1),(40,1),(182,1)}
         3:{2,3,4,6}:{(0,1),(10,1),(12,1),(114,1),(177,1),(202,1),(203,1)}
         4:{1,2,4,5,7}:{(0,1),(12,1),(13,1),(49,1),(54,1),(110,1),(115,1),(116,1)}
         5:{1,3,4,6}:{(1,1),(15,1),(17,1),(121,1),(173,1),(202,1),(204,1)}
         6:{1,2,4,5,7}:{(1,1),(17,1),(18,1),(49,1),(62,1),(110,1),(122,1),(123,1)}
         7:{3,5,6,7}:{(2,1),(19,1),(21,1),(197,1)}
         8:{2,4,5,6,7}:{(22,1),(70,1),(156,1)}
         9:{3,4,5,6}:{(24,1),(25,1),(26,1),(82,1),(151,1),(194,1)}
        10:{2,3,5,6}:{(3,1),(26,1),(27,1),(28,1),(82,1),(94,1),(205,1)}
        11:{2,3,4,6,7}:{(3,1),(27,1),(29,1),(70,1),(129,1),(144,1),(180,1)}
        12:{1,2,4,6}:{(3,1),(4,1),(28,1),(30,1),(84,1)}
        13:{1,3,5,7}:{(4,1),(30,1),(31,1),(86,1),(189,1)}
        14:{3,4,5,6}:{(32,1),(33,1),(34,1),(90,1),(145,1),(192,1)}
        15:{1,3,5,6}:{(5,1),(33,1),(35,1),(36,1),(86,1),(90,1),(195,1)}
        16:{1,3,4,6,7}:{(5,1),(35,1),(37,1),(40,1),(96,1),(150,1),(154,1)}
        17:{1,2,4,6}:{(5,1),(6,1),(36,1),(38,1),(92,1)}
        18:{2,3,5,7}:{(6,1),(38,1),(39,1),(94,1),(189,1)}
        19:{3,4,6,7}:{(7,1),(32,1),(40,1),(41,1),(96,1),(192,1)}
        20:{1,3,5,6,7}:{(7,1),(35,1),(40,1),(42,1),(96,1),(147,1)}
        21:{2,5,6,7}:{(7,1),(41,1),(205,1)}
        22:{3,5,6,7}:{(8,1),(43,1),(44,1),(179,1)}
        23:{1,2,3,5,7}:{(13,1),(18,1),(48,1),(49,1),(110,1)}
        24:{3,4,5,7}:{(9,1),(43,1),(51,1),(52,1),(113,1)}
        25:{1,4,5,6}:{(9,1),(50,1),(51,1),(175,1),(204,1)}
        26:{2,4,5,6}:{(9,1),(10,1),(52,1),(123,1),(177,1)}
        27:{2,3,5,7}:{(10,1),(11,1),(52,1),(54,1),(113,1),(196,1)}
        28:{1,2,5,6}:{(10,1),(12,1),(54,1),(55,1),(110,1)}
        29:{1,2,4,6,7}:{(11,1),(12,1),(54,1),(56,1),(115,1)}
        30:{1,3,6}:{(12,1),(13,1),(202,1)}
        31:{1,3,4,7}:{(13,1),(49,1),(57,1),(115,1),(166,1)}
        32:{3,4,5,7}:{(14,1),(19,1),(59,1),(60,1),(120,1)}
        33:{1,4,5,6}:{(14,1),(15,1),(59,1),(116,1),(173,1)}
        34:{2,4,5,6}:{(14,1),(58,1),(60,1),(171,1),(203,1)}
        35:{1,3,5,7}:{(15,1),(16,1),(59,1),(62,1),(120,1),(178,1)}
        36:{1,2,5,6}:{(15,1),(17,1),(62,1),(63,1),(110,1)}
        37:{1,2,4,6,7}:{(16,1),(17,1),(62,1),(64,1),(122,1)}
        38:{2,3,6}:{(17,1),(18,1),(202,1)}
        39:{2,3,4,7}:{(18,1),(49,1),(65,1),(122,1),(166,1)}
        40:{1,4,6,7}:{(19,1),(20,1),(59,1),(173,1)}
        41:{2,4,6,7}:{(19,1),(21,1),(60,1),(66,1),(203,1)}
        42:{1,2,5,6,7}:{(20,1),(21,1),(62,1),(67,1),(68,1),(169,1),(178,1)}
        43:{3,4,6,7}:{(22,1),(24,1),(69,1),(70,1),(129,1),(194,1)}
        44:{1,5,6,7}:{(22,1),(69,1),(195,1)}
        45:{2,3,5,6,7}:{(22,1),(27,1),(70,1),(71,1),(129,1),(153,1)}
        46:{2,3,4,5}:{(72,1),(73,1),(137,1),(151,1),(188,1)}
        47:{1,3,4,5}:{(74,1),(75,1),(134,1),(145,1),(186,1)}
        48:{1,2,3,6}:{(23,1),(30,1),(38,1),(78,1)}
        49:{1,2,4,7}:{(23,1),(31,1),(39,1),(78,1)}
        50:{1,3,5,6}:{(25,1),(74,1),(79,1),(80,1),(82,1),(186,1),(207,1)}
        51:{1,4,5,7}:{(24,1),(25,1),(69,1),(79,1)}
        52:{2,4,5,7}:{(24,1),(26,1),(27,1),(70,1)}
        53:{1,2,4,5,6}:{(25,1),(26,1),(28,1),(80,1),(81,1),(82,1),(84,1),(140,1),(143,1),(182,1),(190,1),(205,1)}
        54:{1,2,5,7}:{(27,1),(28,1),(29,1),(83,1)}
        55:{1,3,5,6}:{(28,1),(30,1),(82,1),(83,1),(84,1),(86,1)}
        56:{1,3,6,7}:{(29,1),(30,1),(83,1),(129,1)}
        57:{1,3,4,6}:{(30,1),(31,1),(78,1),(84,1),(86,1),(138,1)}
        58:{2,3,5,6}:{(34,1),(72,1),(87,1),(88,1),(90,1),(188,1),(208,1)}
        59:{1,4,5,7}:{(32,1),(33,1),(35,1),(40,1)}
        60:{2,4,5,7}:{(32,1),(34,1),(41,1),(87,1)}
        61:{1,2,4,5,6}:{(33,1),(34,1),(36,1),(88,1),(89,1),(90,1),(92,1),(140,1),(149,1),(156,1),(190,1),(195,1)}
        62:{1,2,5,7}:{(35,1),(36,1),(37,1),(91,1)}
        63:{2,3,5,6}:{(36,1),(38,1),(90,1),(91,1),(92,1),(94,1)}
        64:{2,3,6,7}:{(37,1),(38,1),(91,1),(96,1)}
        65:{2,3,4,6}:{(38,1),(39,1),(78,1),(92,1),(94,1),(138,1)}
        66:{2,3,6,7}:{(41,1),(87,1),(95,1),(96,1),(208,1)}
        67:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(89,1),(95,1),(96,1),(97,1),(154,1),(190,1)}
        68:{2,3,5,6,7}:{(42,1),(91,1),(96,1),(97,1),(153,1),(155,1)}
        69:{1,4,6,7}:{(43,1),(44,1),(51,1),(98,1),(204,1)}
        70:{2,4,6,7}:{(43,1),(45,1),(52,1),(177,1)}
        71:{1,2,5,6,7}:{(44,1),(45,1),(54,1),(99,1),(100,1),(169,1),(196,1)}
        72:{2,3,4,6}:{(46,1),(58,1),(101,1),(102,1),(121,1)}
        73:{1,2,4,5}:{(46,1),(102,1),(103,1),(161,1),(175,1),(199,1)}
        74:{1,3,4,6}:{(47,1),(50,1),(104,1),(105,1),(114,1)}
        75:{1,2,4,5}:{(47,1),(105,1),(106,1),(161,1),(171,1),(199,1)}
        76:{1,2,3,5,6}:{(48,1),(55,1),(63,1),(107,1),(108,1),(110,1),(112,1),(119,1),(160,1),(167,1),(169,1),(199,1),(202,1),(209,1)}
        77:{1,2,3,6,7}:{(48,1),(56,1),(64,1),(107,1),(109,1),(125,1),(157,1),(202,1),(209,1)}
        78:{1,2,4,6}:{(48,1),(49,1),(57,1),(65,1),(110,1)}
        79:{1,3,5,7}:{(50,1),(51,1),(98,1),(104,1),(111,1),(113,1)}
        80:{1,2,5,6}:{(50,1),(105,1),(111,1),(112,1),(199,1),(209,1)}
        81:{1,2,4,5,7}:{(51,1),(52,1),(53,1),(54,1),(99,1),(111,1),(113,1),(115,1),(159,1),(170,1),(196,1)}
        82:{3,5,6}:{(53,1),(113,1),(114,1),(167,1),(202,1)}
        83:{1,3,5,7}:{(54,1),(55,1),(56,1),(113,1),(115,1)}
        84:{1,4,6}:{(55,1),(114,1),(115,1),(116,1)}
        85:{1,3,4,6,7}:{(56,1),(57,1),(109,1),(115,1),(117,1),(158,1),(166,1),(173,1),(202,1)}
        86:{1,3,5}:{(57,1),(110,1),(116,1),(167,1)}
        87:{2,3,5,7}:{(58,1),(60,1),(66,1),(101,1),(118,1),(120,1)}
        88:{1,2,5,6}:{(58,1),(102,1),(118,1),(119,1),(199,1),(209,1)}
        89:{1,2,4,5,7}:{(59,1),(60,1),(61,1),(62,1),(67,1),(118,1),(120,1),(122,1),(127,1),(174,1),(178,1)}
        90:{3,5,6}:{(61,1),(120,1),(121,1),(167,1),(202,1)}
        91:{2,3,5,7}:{(62,1),(63,1),(64,1),(120,1),(122,1)}
        92:{2,4,6}:{(63,1),(121,1),(122,1),(123,1)}
        93:{2,3,4,6,7}:{(64,1),(65,1),(109,1),(122,1),(124,1),(126,1),(166,1),(177,1),(202,1)}
        94:{2,3,5}:{(65,1),(110,1),(123,1),(167,1)}
        95:{1,2,6,7}:{(66,1),(118,1),(125,1),(209,1)}
        96:{3,6,7}:{(67,1),(120,1),(202,1)}
        97:{2,4,6,7}:{(68,1),(122,1),(126,1),(127,1),(177,1)}
        98:{1,3,6,7}:{(69,1),(79,1),(128,1),(129,1),(207,1)}
        99:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(81,1),(128,1),(129,1),(130,1),(180,1),(190,1)}
       100:{1,3,5,6,7}:{(71,1),(83,1),(129,1),(130,1),(147,1),(181,1)}
       101:{2,3,4,7}:{(72,1),(87,1),(132,1),(150,1)}
       102:{1,2,4,6}:{(72,1),(73,1),(88,1),(132,1),(133,1),(149,1)}
       103:{1,3,5}:{(73,1),(133,1),(134,1)}
       104:{1,3,4,7}:{(74,1),(79,1),(135,1),(144,1)}
       105:{1,2,4,6}:{(74,1),(75,1),(80,1),(135,1),(136,1),(143,1)}
       106:{2,3,5}:{(75,1),(136,1),(137,1)}
       107:{1,2,3,5,7}:{(76,1),(77,1),(83,1),(91,1),(139,1),(141,1),(142,1),(148,1),(183,1),(189,1),(206,1)}
       108:{1,2,4,6}:{(76,1),(84,1),(92,1),(138,1),(139,1),(140,1),(143,1),(149,1)}
       109:{1,2,4,6,7}:{(77,1),(78,1),(85,1),(93,1),(139,1),(141,1),(154,1),(180,1),(190,1)}
       110:{1,2,5}:{(78,1),(86,1),(94,1)}
       111:{1,2,5,7}:{(79,1),(80,1),(128,1),(135,1),(142,1)}
       112:{2,3,5,6}:{(80,1),(82,1),(136,1),(142,1),(143,1),(188,1),(205,1),(208,1)}
       113:{3,5,7}:{(81,1),(82,1),(129,1),(144,1)}
       114:{3,4,6}:{(82,1),(84,1),(143,1),(144,1),(145,1)}
       115:{1,4,7}:{(83,1),(84,1),(144,1)}
       116:{1,4,5}:{(84,1),(86,1),(145,1)}
       117:{1,3,5,7}:{(85,1),(86,1),(141,1),(146,1),(147,1),(181,1),(189,1)}
       118:{1,2,5,7}:{(87,1),(88,1),(95,1),(132,1),(148,1)}
       119:{1,3,5,6}:{(88,1),(90,1),(133,1),(148,1),(149,1),(186,1),(195,1),(207,1)}
       120:{3,5,7}:{(89,1),(90,1),(96,1),(150,1)}
       121:{3,4,6}:{(90,1),(92,1),(149,1),(150,1),(151,1)}
       122:{2,4,7}:{(91,1),(92,1),(150,1)}
       123:{2,4,5}:{(92,1),(94,1),(151,1)}
       124:{2,3,5,7}:{(93,1),(94,1),(141,1),(152,1),(153,1),(155,1),(189,1)}
       125:{1,3,6,7}:{(95,1),(96,1),(148,1),(154,1),(207,1)}
       126:{3,4,6,7}:{(96,1),(97,1),(150,1),(154,1),(155,1),(194,1)}
       127:{2,4,5,7}:{(97,1),(155,1),(156,1)}
       128:{1,2,6,7}:{(98,1),(111,1),(157,1),(209,1)}
       129:{3,6,7}:{(99,1),(113,1),(202,1)}
       130:{1,4,6,7}:{(100,1),(115,1),(158,1),(159,1),(173,1)}
       131:{1,2,3,5}:{(103,1),(106,1),(160,1),(161,1),(199,1)}
       132:{1,2,4,7}:{(101,1),(102,1),(118,1),(162,1),(174,1)}
       133:{1,3,6}:{(102,1),(103,1),(162,1)}
       134:{1,3,4}:{(103,1),(161,1)}
       135:{1,2,4,7}:{(104,1),(105,1),(111,1),(164,1),(170,1)}
       136:{2,3,6}:{(105,1),(106,1),(164,1)}
       137:{2,3,4}:{(106,1),(161,1)}
       138:{3,4,6}:{(108,1),(166,1),(167,1),(202,1)}
       139:{1,2,4,7}:{(107,1),(108,1),(115,1),(122,1),(166,1),(170,1),(174,1)}
       140:{1,2,4,5}:{(108,1),(110,1),(116,1),(123,1),(167,1),(171,1),(175,1),(199,1)}
       141:{1,2,5,7}:{(109,1),(110,1),(117,1),(124,1),(169,1),(178,1),(196,1)}
       142:{2,3,5,7}:{(111,1),(112,1),(113,1),(157,1),(164,1),(170,1),(196,1)}
       143:{2,4,6}:{(112,1),(114,1),(170,1),(171,1)}
       144:{3,4,7}:{(113,1),(114,1),(115,1),(170,1)}
       145:{3,4,5}:{(114,1),(116,1),(167,1),(171,1)}
       146:{1,4,5,7}:{(115,1),(116,1),(117,1),(172,1),(173,1)}
       147:{1,3,5,6}:{(117,1),(169,1),(173,1),(197,1),(202,1)}
       148:{1,3,5,7}:{(118,1),(119,1),(120,1),(125,1),(162,1),(174,1),(178,1)}
       149:{1,4,6}:{(119,1),(121,1),(174,1),(175,1)}
       150:{3,4,7}:{(120,1),(121,1),(122,1),(174,1)}
       151:{3,4,5}:{(121,1),(123,1),(167,1),(175,1)}
       152:{2,4,5,7}:{(122,1),(123,1),(124,1),(176,1),(177,1)}
       153:{2,3,5,6}:{(124,1),(169,1),(177,1),(179,1),(202,1)}
       154:{1,4,6,7}:{(125,1),(126,1),(174,1),(178,1),(204,1)}
       155:{3,5,7}:{(126,1),(127,1),(178,1),(179,1)}
       156:{2,4,5,6}:{(127,1),(177,1),(179,1)}
       157:{2,3,6,7}:{(128,1),(129,1),(142,1),(180,1),(208,1)}
       158:{3,4,6,7}:{(129,1),(130,1),(144,1),(180,1),(181,1),(192,1)}
       159:{1,4,5,7}:{(130,1),(181,1),(182,1)}
       160:{1,2,3,6}:{(131,1),(133,1),(136,1),(183,1),(184,1)}
       161:{1,2,4}:{(131,1),(134,1),(137,1)}
       162:{1,3,7}:{(132,1),(133,1)}
       163:{1,3,4,6}:{(133,1),(134,1),(138,1),(149,1),(184,1),(185,1),(186,1),(207,1)}
       164:{2,3,7}:{(135,1),(136,1)}
       165:{2,3,4,6}:{(136,1),(137,1),(138,1),(143,1),(184,1),(187,1),(188,1),(208,1)}
       166:{3,4,7}:{(138,1),(139,1),(189,1)}
       167:{3,5}:{(138,1),(140,1)}
       168:{1,2,4,5,7}:{(139,1),(140,1),(141,1),(146,1),(152,1),(189,1),(190,1),(191,1),(193,1),(206,1)}
       169:{1,2,5,6}:{(141,1),(147,1),(153,1),(190,1),(195,1),(205,1)}
       170:{2,4,7}:{(142,1),(143,1),(144,1)}
       171:{2,4,5}:{(143,1),(145,1),(188,1)}
       172:{3,4,5,7}:{(144,1),(145,1),(146,1),(181,1),(189,1),(191,1),(192,1)}
       173:{1,4,6}:{(146,1),(147,1),(192,1)}
       174:{1,4,7}:{(148,1),(149,1),(150,1)}
       175:{1,4,5}:{(149,1),(151,1),(186,1)}
       176:{3,4,5,7}:{(150,1),(151,1),(152,1),(155,1),(189,1),(193,1),(194,1)}
       177:{2,4,6}:{(152,1),(153,1),(194,1)}
       178:{1,5,7}:{(154,1),(155,1),(195,1)}
       179:{3,5,6}:{(155,1),(156,1),(194,1),(195,1)}
       180:{2,4,6,7}:{(157,1),(158,1),(170,1),(196,1),(203,1)}
       181:{3,5,7}:{(158,1),(159,1),(196,1),(197,1)}
       182:{1,4,5,6}:{(159,1),(173,1),(197,1)}
       183:{1,2,3,7}:{(160,1),(162,1),(164,1),(198,1)}
       184:{1,2,4,6}:{(160,1),(161,1),(163,1),(165,1),(198,1),(199,1),(209,1)}
       185:{1,3,4,7}:{(162,1),(163,1),(166,1),(174,1),(198,1),(200,1)}
       186:{1,3,5}:{(163,1),(167,1),(175,1),(199,1)}
       187:{2,3,4,7}:{(164,1),(165,1),(166,1),(170,1),(198,1),(201,1)}
       188:{2,3,5}:{(165,1),(167,1),(171,1),(199,1)}
       189:{3,5,7}:{(166,1),(167,1),(168,1),(202,1)}
       190:{1,2,4,6}:{(168,1),(169,1),(173,1),(177,1),(202,1),(203,1),(204,1),(209,1)}
       191:{2,4,5,7}:{(170,1),(171,1),(172,1),(196,1),(201,1),(203,1)}
       192:{3,4,6}:{(172,1),(173,1),(197,1),(202,1),(203,1)}
       193:{1,4,5,7}:{(174,1),(175,1),(176,1),(178,1),(200,1),(204,1)}
       194:{3,4,6}:{(176,1),(177,1),(179,1),(202,1),(204,1)}
       195:{1,5,6}:{(178,1),(179,1),(204,1)}
       196:{2,5,7}:{(180,1),(181,1),(205,1)}
       197:{3,5,6}:{(181,1),(182,1),(192,1),(205,1)}
       198:{1,2,4,7}:{(183,1),(184,1),(185,1),(187,1),(206,1)}
       199:{1,2,5}:{(184,1),(186,1),(188,1)}
       200:{1,3,5,7}:{(185,1),(186,1),(189,1),(193,1),(206,1),(207,1)}
       201:{2,3,5,7}:{(187,1),(188,1),(189,1),(191,1),(206,1),(208,1)}
       202:{3,6}:{(189,1),(190,1)}
       203:{2,4,6}:{(191,1),(192,1),(205,1),(208,1)}
       204:{1,4,6}:{(193,1),(194,1),(195,1),(207,1)}
       205:{2,5,6}:{(196,1),(197,1),(203,1)}
       206:{1,2,5,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       207:{1,3,6}:{(200,1),(202,1),(204,1),(209,1)}
       208:{2,3,6}:{(201,1),(202,1),(203,1),(209,1)}
       209:{1,2,6}:{(206,1),(207,1),(208,1)}

2112 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(18,1),(37,1),(38,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(24,1),(47,1)}
        2:{1,2,4,5,7}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,5,6}:{(1,1),(5,1),(12,1),(34,1),(37,1)}
        4:{3,4,5,7}:{(2,1),(10,1),(24,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(10,1)}
        6:{1,2,3,5,6,7}:{(3,1),(11,1),(24,1),(43,1),(44,1),(47,1),(48,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(29,1),(30,1),(34,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(16,1),(35,1),(51,1),(62,1)}
        9:{1,3,4,5,7}:{(4,1),(15,1),(17,1),(36,1),(51,1),(62,1)}
       10:{3,4,6}:{(4,1),(5,1),(12,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(13,1),(18,1),(49,1),(50,1)}
       12:{3,5,6}:{(7,1),(10,1),(24,1)}
       13:{1,2,4,5,7}:{(7,1),(11,1),(24,1),(41,1),(42,1),(47,1)}
       14:{1,2,3,4,7}:{(21,1),(25,1),(60,1)}
       15:{1,2,4,5,7}:{(8,1),(9,1),(25,1),(26,1),(45,1),(47,1),(60,1)}
       16:{2,3,4,6}:{(8,1),(10,1),(22,1),(26,1),(58,1)}
       17:{1,3,4,6}:{(9,1),(10,1),(23,1),(26,1),(58,1)}
       18:{3,4,6,7}:{(10,1),(11,1),(24,1)}
       19:{3,4,5,6}:{(12,1),(29,1),(30,1),(31,1),(52,1)}
       20:{1,2,4,5,6,7}:{(13,1),(32,1),(49,1),(50,1),(54,1)}
       21:{1,2,3,4,6}:{(14,1),(33,1),(37,1),(55,1)}
       22:{2,3,5,6}:{(12,1),(16,1),(29,1),(34,1),(35,1),(52,1)}
       23:{1,3,5,6}:{(12,1),(17,1),(30,1),(34,1),(36,1),(52,1)}
       24:{3,5,7}:{(12,1),(13,1),(18,1)}
       25:{1,2,3,5,7}:{(14,1),(15,1),(33,1),(37,1)}
       26:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(37,1)}
       27:{2,3,4,6,7}:{(16,1),(18,1),(35,1),(38,1),(49,1),(61,1),(62,1)}
       28:{1,3,4,6,7}:{(17,1),(18,1),(36,1),(38,1),(50,1),(61,1),(62,1)}
       29:{2,4,5,6}:{(19,1),(22,1),(41,1)}
       30:{1,4,5,6}:{(19,1),(23,1),(42,1)}
       31:{3,4,5,7}:{(19,1),(24,1),(39,1),(41,1),(42,1),(59,1)}
       32:{3,5,6,7}:{(20,1),(24,1),(39,1)}
       33:{1,2,3,5}:{(21,1),(45,1)}
       34:{1,2,5,6}:{(22,1),(23,1),(26,1),(47,1)}
       35:{2,3,5,7}:{(22,1),(24,1),(27,1),(41,1),(47,1),(59,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(28,1),(42,1),(47,1),(59,1)}
       37:{1,2,3,6}:{(25,1),(26,1)}
       38:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(47,1),(48,1),(60,1)}
       39:{3,4,6,7}:{(31,1),(32,1),(49,1),(50,1),(61,1)}
       40:{1,2,4,5,6}:{(29,1),(30,1),(34,1),(52,1),(53,1),(55,1)}
       41:{2,4,5,7}:{(29,1),(31,1),(35,1),(49,1)}
       42:{1,4,5,7}:{(30,1),(31,1),(36,1),(50,1)}
       43:{2,3,5,6,7}:{(32,1),(35,1),(49,1),(54,1),(61,1)}
       44:{1,3,5,6,7}:{(32,1),(36,1),(50,1),(54,1),(61,1)}
       45:{1,2,4,5}:{(33,1),(51,1),(55,1)}
       46:{1,2,3,5,6}:{(33,1),(34,1),(37,1),(52,1),(55,1),(56,1)}
       47:{1,2,5,7}:{(34,1),(35,1),(36,1),(38,1)}
       48:{1,2,3,6,7}:{(37,1),(38,1),(56,1),(61,1)}
       49:{2,4,6,7}:{(39,1),(41,1),(43,1)}
       50:{1,4,6,7}:{(39,1),(42,1),(44,1)}
       51:{3,4,5}:{(45,1),(58,1)}
       52:{3,5,6}:{(40,1),(58,1),(59,1)}
       53:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(47,1),(57,1),(59,1),(60,1)}
       54:{1,2,5,6,7}:{(43,1),(44,1),(47,1),(57,1)}
       55:{1,2,4,6}:{(45,1),(46,1),(58,1),(60,1)}
       56:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(59,1),(60,1)}
       57:{1,2,4,6,7}:{(49,1),(50,1),(53,1),(54,1),(61,1)}
       58:{3,4,6}:{(51,1),(52,1),(55,1),(62,1)}
       59:{3,5,7}:{(52,1),(53,1),(61,1),(62,1)}
       60:{1,2,4,7}:{(55,1),(56,1),(62,1)}
       61:{3,6,7}:{(57,1),(59,1)}
       62:{3,4,7}:{(58,1),(59,1),(60,1)}

2113 :   0:{1,3,4,5,6}:{(1,1),(2,1),(27,1),(86,1),(98,1)}
         1:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(18,1),(76,1),(81,1)}
         2:{1,3,4,5,7}:{(0,1),(5,1),(6,1),(42,1),(72,1),(82,1)}
         3:{2,3,4,5,6}:{(7,1),(8,1),(11,1),(66,1),(118,1)}
         4:{2,3,5,6}:{(1,1),(11,1),(12,1)}
         5:{1,2,4,5,7}:{(1,1),(2,1),(12,1),(13,1),(32,1),(62,1),(67,1)}
         6:{1,3,4,6,7}:{(2,1),(13,1),(14,1),(68,1)}
         7:{1,2,4,5,6}:{(3,1),(15,1),(16,1),(18,1),(76,1),(102,1)}
         8:{2,3,4,5,7}:{(3,1),(16,1),(17,1),(23,1),(52,1),(103,1)}
         9:{1,2,3,5,6}:{(4,1),(15,1),(18,1),(19,1),(20,1),(49,1),(76,1)}
        10:{1,2,3,4,6}:{(18,1),(20,1),(21,1),(49,1)}
        11:{2,3,4,6}:{(4,1),(18,1),(22,1),(23,1)}
        12:{2,3,5,7}:{(4,1),(5,1),(23,1),(24,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(24,1),(25,1),(53,1)}
        14:{1,3,5,6,7}:{(6,1),(25,1),(26,1),(54,1),(72,1)}
        15:{1,3,5,6}:{(7,1),(27,1),(28,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(28,1),(29,1),(32,1),(62,1),(87,1)}
        17:{2,3,4,6,7}:{(8,1),(29,1),(30,1),(88,1)}
        18:{1,2,4,6}:{(9,1),(11,1),(27,1),(31,1),(32,1)}
        19:{1,2,3,5,7}:{(9,1),(12,1),(28,1),(32,1),(33,1),(62,1)}
        20:{1,2,3,5}:{(10,1),(31,1)}
        21:{1,2,3,4,7}:{(10,1),(32,1),(34,1)}
        22:{2,3,4,5}:{(11,1),(31,1)}
        23:{2,3,4,7}:{(11,1),(12,1),(32,1)}
        24:{2,3,6,7}:{(12,1),(13,1)}
        25:{1,2,5,6,7}:{(13,1),(14,1),(38,1),(62,1)}
        26:{1,4,5,6,7}:{(14,1),(40,1),(87,1)}
        27:{1,3,4,6}:{(15,1),(18,1),(41,1),(42,1)}
        28:{1,3,5,7}:{(15,1),(16,1),(42,1),(43,1)}
        29:{1,2,4,6,7}:{(16,1),(17,1),(43,1),(44,1),(73,1)}
        30:{2,3,5,6,7}:{(17,1),(44,1),(45,1),(52,1),(74,1)}
        31:{1,2,4,5}:{(18,1),(20,1),(22,1),(41,1)}
        32:{1,2,4,7}:{(18,1),(19,1),(23,1),(42,1)}
        33:{1,2,3,6,7}:{(19,1),(24,1),(43,1),(47,1),(49,1)}
        34:{1,2,3,5,7}:{(20,1),(21,1),(46,1),(49,1)}
        35:{1,2,3,4,6,7}:{(21,1),(47,1),(49,1),(50,1),(78,1),(79,1),(110,1),(136,1),(137,1)}
        36:{2,3,4,5,7}:{(22,1),(23,1),(46,1),(51,1),(52,1),(80,1)}
        37:{2,3,4,6,7}:{(23,1),(24,1),(47,1),(51,1),(52,1),(53,1),(78,1)}
        38:{2,3,5,6,7}:{(24,1),(25,1),(52,1),(53,1),(54,1)}
        39:{1,2,4,5,6,7}:{(25,1),(26,1),(53,1),(54,1),(55,1),(77,1),(83,1),(85,1)}
        40:{3,4,5,6,7}:{(26,1),(54,1),(55,1),(103,1)}
        41:{1,3,4,5}:{(27,1),(31,1)}
        42:{1,3,4,7}:{(27,1),(28,1),(32,1)}
        43:{1,3,6,7}:{(28,1),(29,1)}
        44:{1,2,5,6,7}:{(29,1),(30,1),(58,1),(62,1)}
        45:{2,4,5,6,7}:{(30,1),(60,1),(67,1)}
        46:{1,2,4,5,7}:{(31,1),(32,1),(34,1),(36,1),(56,1),(61,1),(62,1)}
        47:{1,2,4,6,7}:{(32,1),(33,1),(37,1),(57,1),(61,1),(62,1)}
        48:{1,2,3,5,6,7}:{(33,1),(38,1),(58,1),(62,1),(63,1),(64,1),(69,1),(90,1),(92,1),(124,1),(125,1)}
        49:{1,2,3,6}:{(34,1),(61,1)}
        50:{1,2,3,5,7}:{(35,1),(62,1),(64,1),(65,1),(92,1),(124,1)}
        51:{2,3,4,6}:{(36,1),(61,1),(66,1),(95,1)}
        52:{2,3,5,7}:{(37,1),(62,1),(66,1),(67,1),(92,1)}
        53:{2,4,6,7}:{(38,1),(67,1),(68,1)}
        54:{3,5,6,7}:{(39,1),(68,1),(92,1)}
        55:{2,4,5,6,7}:{(40,1),(70,1),(120,1)}
        56:{1,3,4,5,7}:{(41,1),(42,1),(46,1),(71,1),(72,1),(80,1)}
        57:{1,3,4,6,7}:{(42,1),(43,1),(47,1),(71,1),(72,1),(73,1),(78,1)}
        58:{1,3,5,6,7}:{(43,1),(44,1),(72,1),(73,1),(74,1)}
        59:{1,2,4,5,6,7}:{(44,1),(45,1),(73,1),(74,1),(75,1),(77,1),(105,1),(106,1)}
        60:{3,4,5,6,7}:{(45,1),(74,1),(75,1),(82,1)}
        61:{1,2,4,6}:{(46,1),(49,1),(51,1),(71,1),(76,1)}
        62:{1,2,5,7}:{(47,1),(52,1),(72,1),(76,1)}
        63:{1,2,4,6,7}:{(48,1),(53,1),(73,1),(77,1),(78,1),(79,1),(83,1),(105,1)}
        64:{1,2,3,5,6}:{(49,1),(50,1),(76,1),(79,1),(107,1),(134,1),(136,1)}
        65:{1,2,4,5,7}:{(50,1),(79,1),(80,1)}
        66:{2,3,5,6}:{(51,1),(52,1),(76,1),(81,1),(107,1)}
        67:{2,4,5,7}:{(52,1),(53,1),(81,1),(82,1)}
        68:{3,4,6,7}:{(53,1),(54,1),(82,1),(83,1)}
        69:{1,3,5,6,7}:{(54,1),(83,1),(85,1),(108,1),(117,1)}
        70:{2,3,5,6,7}:{(54,1),(55,1),(84,1),(85,1),(109,1)}
        71:{1,3,4,6}:{(56,1),(61,1),(86,1),(95,1)}
        72:{1,3,5,7}:{(57,1),(62,1),(86,1),(87,1),(92,1)}
        73:{1,4,6,7}:{(58,1),(87,1),(88,1)}
        74:{3,5,6,7}:{(59,1),(88,1),(92,1)}
        75:{1,4,5,6,7}:{(60,1),(89,1),(99,1)}
        76:{1,2,5,6}:{(61,1),(62,1),(66,1),(86,1)}
        77:{1,2,4,5,7}:{(62,1),(63,1),(67,1),(87,1),(91,1),(92,1),(99,1),(120,1),(124,1)}
        78:{3,4,6,7}:{(63,1),(92,1),(95,1)}
        79:{1,2,4,6}:{(64,1),(65,1),(95,1)}
        80:{3,4,5,7}:{(65,1),(92,1),(95,1)}
        81:{2,4,5,6}:{(66,1),(67,1),(98,1)}
        82:{3,4,5,7}:{(67,1),(68,1),(92,1),(98,1),(99,1)}
        83:{1,4,6,7}:{(68,1),(69,1),(99,1)}
        84:{2,3,4,6,7}:{(68,1),(70,1),(100,1),(101,1)}
        85:{1,2,5,6,7}:{(69,1),(70,1),(101,1),(124,1)}
        86:{1,3,5,6}:{(71,1),(72,1),(76,1),(102,1),(107,1)}
        87:{1,4,5,7}:{(72,1),(73,1),(102,1),(103,1)}
        88:{3,4,6,7}:{(73,1),(74,1),(103,1),(105,1)}
        89:{1,3,5,6,7}:{(74,1),(75,1),(104,1),(106,1),(108,1)}
        90:{2,3,5,6,7}:{(74,1),(105,1),(106,1),(109,1),(133,1)}
        91:{1,2,4,5,6}:{(76,1),(77,1),(79,1),(81,1),(102,1),(107,1),(114,1),(131,1),(134,1)}
        92:{3,5,7}:{(77,1),(78,1),(107,1)}
        93:{1,3,4,6,7}:{(78,1),(83,1),(108,1),(110,1),(111,1),(117,1),(139,1)}
        94:{2,3,4,6,7}:{(78,1),(105,1),(109,1),(110,1),(112,1),(133,1),(147,1)}
        95:{3,4,6}:{(79,1),(80,1),(107,1)}
        96:{1,3,4,5,7}:{(80,1),(108,1),(111,1),(113,1),(139,1),(150,1)}
        97:{2,3,4,5,7}:{(80,1),(109,1),(112,1),(113,1),(147,1),(153,1)}
        98:{3,4,5,6}:{(81,1),(82,1),(107,1),(114,1)}
        99:{1,4,5,7}:{(82,1),(83,1),(108,1),(114,1)}
       100:{2,3,4,5,7}:{(82,1),(84,1),(109,1),(115,1),(116,1),(147,1)}
       101:{1,2,4,6,7}:{(83,1),(84,1),(85,1),(116,1),(117,1)}
       102:{1,4,5,6}:{(86,1),(87,1),(118,1)}
       103:{3,4,5,7}:{(87,1),(88,1),(92,1),(118,1),(120,1)}
       104:{1,3,4,6,7}:{(88,1),(89,1),(119,1),(121,1)}
       105:{2,4,6,7}:{(88,1),(90,1),(120,1)}
       106:{1,2,5,6,7}:{(89,1),(90,1),(121,1),(124,1)}
       107:{3,5,6}:{(91,1),(92,1),(95,1)}
       108:{1,3,5,7}:{(92,1),(93,1),(99,1),(122,1),(124,1)}
       109:{2,3,5,7}:{(92,1),(94,1),(120,1),(123,1),(124,1)}
       110:{1,2,4,6,7}:{(93,1),(94,1),(124,1),(125,1),(126,1),(143,1)}
       111:{1,3,4,6}:{(95,1),(96,1),(122,1),(126,1)}
       112:{2,3,4,6}:{(95,1),(97,1),(123,1),(126,1)}
       113:{1,2,4,5,7}:{(96,1),(97,1),(124,1),(126,1),(127,1),(143,1),(152,1)}
       114:{1,4,5,6}:{(98,1),(99,1),(122,1)}
       115:{2,3,4,5,6}:{(98,1),(100,1),(123,1),(128,1),(151,1)}
       116:{1,2,4,5,7}:{(99,1),(100,1),(101,1),(124,1),(128,1),(129,1),(143,1)}
       117:{1,3,6,7}:{(101,1),(129,1)}
       118:{3,4,5,6}:{(102,1),(103,1),(107,1),(131,1)}
       119:{1,3,4,5,7}:{(103,1),(104,1),(108,1),(130,1),(132,1),(139,1)}
       120:{2,4,5,7}:{(103,1),(105,1),(109,1),(131,1)}
       121:{1,2,4,6,7}:{(104,1),(105,1),(106,1),(132,1),(133,1)}
       122:{1,3,5,6}:{(107,1),(108,1),(111,1),(114,1),(134,1)}
       123:{2,3,5,6}:{(107,1),(109,1),(112,1),(131,1),(134,1)}
       124:{1,2,5,7}:{(108,1),(109,1),(110,1),(134,1)}
       125:{1,2,3,6,7}:{(110,1),(117,1),(133,1),(135,1),(136,1)}
       126:{1,2,4,6}:{(111,1),(112,1),(113,1),(134,1),(136,1)}
       127:{1,2,3,5,7}:{(113,1),(136,1),(137,1),(149,1)}
       128:{1,2,4,5,6}:{(114,1),(115,1),(116,1),(134,1),(138,1),(148,1)}
       129:{1,3,5,7}:{(116,1),(117,1),(138,1),(139,1)}
       130:{1,3,4,5,6}:{(118,1),(119,1),(122,1),(140,1),(145,1)}
       131:{2,4,5,6}:{(118,1),(120,1),(123,1)}
       132:{1,2,4,5,7}:{(119,1),(120,1),(121,1),(124,1),(140,1),(141,1),(143,1)}
       133:{2,3,6,7}:{(121,1),(141,1)}
       134:{1,2,5,6}:{(122,1),(123,1),(124,1),(126,1)}
       135:{1,2,3,5,7}:{(124,1),(125,1),(129,1),(141,1),(142,1),(143,1)}
       136:{1,2,3,6}:{(126,1),(127,1)}
       137:{1,2,3,4,7}:{(127,1),(143,1),(144,1)}
       138:{1,3,5,6}:{(128,1),(129,1),(145,1)}
       139:{1,3,4,7}:{(129,1),(143,1),(145,1)}
       140:{1,2,4,5,6}:{(130,1),(131,1),(132,1),(134,1),(146,1),(148,1)}
       141:{2,3,5,7}:{(132,1),(133,1),(146,1),(147,1)}
       142:{1,2,3,5,6}:{(134,1),(135,1),(136,1),(138,1),(146,1),(148,1),(149,1)}
       143:{1,2,4,7}:{(135,1),(139,1),(147,1),(148,1)}
       144:{1,2,3,4,6}:{(136,1),(137,1),(148,1),(149,1)}
       145:{1,3,4,6}:{(138,1),(139,1),(148,1),(150,1)}
       146:{2,3,5,6}:{(140,1),(141,1),(151,1)}
       147:{2,3,4,7}:{(141,1),(143,1),(151,1)}
       148:{1,2,4,6}:{(142,1),(143,1),(145,1),(151,1),(152,1)}
       149:{1,2,3,5}:{(144,1),(152,1)}
       150:{1,3,4,5}:{(145,1),(152,1)}
       151:{2,3,4,6}:{(146,1),(147,1),(148,1),(153,1)}
       152:{1,2,4,5}:{(148,1),(149,1),(150,1),(153,1)}
       153:{2,3,4,5}:{(151,1),(152,1)}

2114 :   0:{1,3,4,5,7}:{(7,1),(8,1),(10,1),(47,1),(92,1),(110,1),(112,1),(118,1),(148,1),(164,1)}
         1:{1,3,4,6,7}:{(8,1),(9,1),(10,1),(12,1),(58,1),(60,1),(118,1)}
         2:{1,3,5,6,7}:{(10,1),(11,1),(12,1),(14,1),(43,1),(58,1)}
         3:{2,3,5,6,7}:{(11,1),(13,1),(44,1),(54,1),(57,1),(58,1)}
         4:{1,4,5,6,7}:{(12,1),(14,1),(95,1)}
         5:{1,3,4,6,7}:{(20,1),(21,1),(64,1),(69,1),(75,1),(122,1),(127,1),(135,1),(138,1)}
         6:{2,3,4,6,7}:{(20,1),(22,1),(26,1),(32,1),(76,1),(81,1),(86,1),(135,1),(138,1)}
         7:{1,2,4,5,7}:{(0,1),(23,1),(24,1),(27,1),(72,1),(86,1),(133,1),(141,1)}
         8:{1,3,4,6}:{(0,1),(24,1),(25,1),(75,1),(135,1),(137,1),(142,1)}
         9:{1,2,4,6,7}:{(1,1),(24,1),(26,1),(27,1),(86,1)}
        10:{1,3,5,7}:{(1,1),(25,1),(27,1),(28,1),(87,1),(89,1)}
        11:{1,2,5,6,7}:{(2,1),(3,1),(27,1),(30,1),(33,1),(74,1),(89,1)}
        12:{1,4,6,7}:{(2,1),(28,1),(31,1),(75,1)}
        13:{2,4,6,7}:{(3,1),(29,1),(32,1),(76,1),(86,1)}
        14:{3,5,6,7}:{(4,1),(31,1),(33,1),(125,1)}
        15:{2,3,4,5,7}:{(34,1),(35,1),(37,1),(48,1),(49,1),(110,1),(111,1),(113,1),(153,1),(185,1)}
        16:{2,3,4,6,7}:{(35,1),(36,1),(37,1),(40,1),(101,1),(102,1),(153,1)}
        17:{1,3,5,6,7}:{(38,1),(39,1),(43,1),(97,1),(99,1),(101,1)}
        18:{2,3,5,6,7}:{(37,1),(38,1),(40,1),(41,1),(44,1),(101,1)}
        19:{2,4,5,6,7}:{(40,1),(41,1),(53,1)}
        20:{1,2,4,6,7}:{(5,1),(6,1),(45,1),(46,1),(60,1),(102,1),(104,1),(106,1),(109,1)}
        21:{1,3,5,7}:{(5,1),(43,1),(46,1),(47,1),(99,1),(110,1),(148,1)}
        22:{2,3,5,7}:{(6,1),(44,1),(46,1),(48,1),(57,1),(110,1),(113,1)}
        23:{2,3,5,7}:{(7,1),(49,1),(50,1),(110,1),(113,1)}
        24:{1,2,4,6}:{(7,1),(8,1),(50,1),(51,1),(114,1)}
        25:{1,3,5,6}:{(8,1),(10,1),(51,1),(52,1),(115,1),(117,1),(148,1)}
        26:{2,3,6,7}:{(9,1),(50,1),(54,1),(58,1)}
        27:{1,2,5,7}:{(9,1),(10,1),(51,1),(54,1)}
        28:{1,4,5,7}:{(10,1),(12,1),(52,1),(56,1)}
        29:{2,4,5,7}:{(13,1),(53,1),(57,1)}
        30:{1,2,4,6,7}:{(11,1),(12,1),(13,1),(55,1),(58,1),(59,1),(60,1),(106,1),(121,1)}
        31:{3,4,6,7}:{(12,1),(14,1),(56,1),(58,1),(59,1),(107,1)}
        32:{3,4,6,7}:{(13,1),(57,1),(58,1),(60,1),(108,1),(118,1)}
        33:{2,5,6,7}:{(14,1),(59,1),(151,1)}
        34:{1,2,4,5,7}:{(15,1),(61,1),(62,1),(65,1),(72,1),(127,1),(133,1),(169,1)}
        35:{2,3,4,6}:{(15,1),(62,1),(63,1),(76,1),(135,1),(136,1),(170,1)}
        36:{1,2,4,6,7}:{(16,1),(62,1),(64,1),(65,1),(127,1)}
        37:{2,3,5,7}:{(16,1),(63,1),(65,1),(67,1),(128,1),(129,1)}
        38:{1,2,5,6,7}:{(17,1),(18,1),(65,1),(68,1),(71,1),(74,1),(129,1)}
        39:{1,4,6,7}:{(17,1),(66,1),(69,1),(75,1),(127,1)}
        40:{2,4,6,7}:{(18,1),(67,1),(70,1),(76,1)}
        41:{3,5,6,7}:{(19,1),(70,1),(71,1),(85,1)}
        42:{1,2,3,5,7}:{(23,1),(61,1),(72,1),(73,1),(133,1)}
        43:{1,3,5,6}:{(21,1),(74,1),(75,1),(125,1),(135,1)}
        44:{2,3,5,6}:{(22,1),(74,1),(76,1),(85,1),(135,1)}
        45:{1,2,3,6,7}:{(20,1),(26,1),(64,1),(73,1),(77,1),(90,1),(132,1),(135,1),(179,1)}
        46:{1,2,5,7}:{(20,1),(21,1),(22,1),(74,1),(89,1),(129,1),(133,1)}
        47:{1,4,5,7}:{(21,1),(75,1),(79,1),(127,1),(169,1)}
        48:{2,4,5,7}:{(22,1),(76,1),(80,1),(86,1),(141,1)}
        49:{2,3,4,7}:{(23,1),(72,1),(81,1),(86,1),(138,1)}
        50:{2,3,6}:{(23,1),(24,1),(135,1)}
        51:{1,2,5,6}:{(24,1),(25,1),(27,1),(82,1),(133,1)}
        52:{1,4,5,6}:{(25,1),(28,1),(75,1),(84,1),(169,1)}
        53:{2,4,5,6}:{(29,1),(76,1),(85,1)}
        54:{2,3,5,7}:{(26,1),(27,1),(82,1),(86,1),(87,1)}
        55:{1,2,4,5,7}:{(27,1),(28,1),(29,1),(30,1),(83,1),(86,1),(87,1),(88,1),(89,1),(145,1),(147,1)}
        56:{3,4,5,7}:{(28,1),(31,1),(84,1),(87,1),(88,1)}
        57:{3,5,7}:{(29,1),(32,1),(85,1),(89,1)}
        58:{3,6,7}:{(30,1),(87,1),(135,1)}
        59:{2,4,6,7}:{(31,1),(33,1),(88,1),(91,1),(136,1)}
        60:{1,4,6,7}:{(32,1),(89,1),(90,1),(137,1),(145,1)}
        61:{1,3,5,7}:{(34,1),(92,1),(93,1),(110,1),(148,1)}
        62:{1,2,4,6}:{(34,1),(35,1),(93,1),(94,1),(149,1)}
        63:{2,3,5,6}:{(35,1),(37,1),(94,1),(96,1),(113,1),(150,1),(151,1)}
        64:{1,3,6,7}:{(36,1),(93,1),(97,1),(101,1)}
        65:{1,2,5,7}:{(36,1),(37,1),(94,1),(97,1)}
        66:{1,4,5,7}:{(39,1),(95,1),(99,1)}
        67:{2,4,5,7}:{(37,1),(40,1),(96,1),(100,1)}
        68:{1,2,4,6,7}:{(38,1),(39,1),(40,1),(98,1),(101,1),(102,1),(103,1),(106,1),(156,1)}
        69:{3,4,6,7}:{(39,1),(99,1),(101,1),(102,1),(107,1),(153,1)}
        70:{3,4,6,7}:{(40,1),(41,1),(100,1),(101,1),(103,1),(108,1)}
        71:{1,5,6,7}:{(41,1),(103,1),(117,1)}
        72:{1,2,4,7}:{(42,1),(49,1),(92,1),(104,1)}
        73:{1,2,3,6}:{(42,1),(50,1),(93,1),(104,1)}
        74:{1,2,5,6}:{(43,1),(44,1),(46,1),(106,1),(117,1),(151,1)}
        75:{1,4,6}:{(43,1),(47,1),(107,1)}
        76:{2,4,6}:{(44,1),(48,1),(108,1)}
        77:{1,2,3,5,7}:{(45,1),(46,1),(54,1),(97,1),(105,1),(109,1),(110,1),(119,1),(155,1),(163,1),(193,1)}
        78:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(106,1),(109,1),(110,1),(111,1),(112,1),(157,1),(163,1)}
        79:{3,4,5,7}:{(47,1),(99,1),(107,1),(110,1),(111,1),(153,1),(185,1)}
        80:{3,4,5,7}:{(48,1),(57,1),(108,1),(110,1),(112,1),(118,1),(164,1)}
        81:{2,3,4,6}:{(49,1),(50,1),(104,1),(113,1),(114,1),(158,1)}
        82:{2,3,5,6}:{(50,1),(51,1),(54,1),(113,1),(114,1),(115,1)}
        83:{1,2,4,5,6}:{(51,1),(52,1),(53,1),(55,1),(106,1),(114,1),(115,1),(116,1),(117,1),(157,1),(165,1),(167,1)}
        84:{3,4,5,6}:{(52,1),(56,1),(107,1),(115,1),(116,1),(185,1)}
        85:{3,5,6}:{(53,1),(57,1),(108,1),(117,1)}
        86:{2,4,7}:{(54,1),(114,1),(118,1)}
        87:{3,5,7}:{(55,1),(58,1),(115,1),(118,1)}
        88:{2,4,5,7}:{(56,1),(59,1),(116,1),(120,1)}
        89:{1,5,7}:{(57,1),(60,1),(117,1)}
        90:{1,3,6,7}:{(58,1),(60,1),(119,1),(121,1),(159,1)}
        91:{2,3,6,7}:{(58,1),(59,1),(120,1),(121,1),(160,1)}
        92:{1,3,4,7}:{(61,1),(72,1),(122,1),(127,1),(138,1)}
        93:{1,3,6}:{(61,1),(62,1),(135,1)}
        94:{1,2,5,6}:{(62,1),(63,1),(65,1),(123,1),(133,1)}
        95:{1,4,5,6}:{(66,1),(75,1),(125,1)}
        96:{2,4,5,6}:{(63,1),(67,1),(76,1),(126,1),(141,1)}
        97:{1,3,5,7}:{(64,1),(65,1),(123,1),(127,1),(128,1)}
        98:{1,2,4,5,7}:{(65,1),(66,1),(67,1),(68,1),(124,1),(127,1),(128,1),(129,1),(130,1),(174,1),(175,1)}
        99:{3,5,7}:{(66,1),(69,1),(125,1),(129,1)}
       100:{3,4,5,7}:{(67,1),(70,1),(126,1),(128,1),(130,1)}
       101:{3,6,7}:{(68,1),(128,1),(135,1)}
       102:{2,4,6,7}:{(69,1),(129,1),(132,1),(136,1),(174,1)}
       103:{1,4,6,7}:{(70,1),(71,1),(130,1),(131,1),(137,1)}
       104:{1,2,4,6}:{(72,1),(73,1),(81,1),(122,1),(133,1)}
       105:{1,2,3,5,6}:{(73,1),(74,1),(77,1),(82,1),(123,1),(133,1),(134,1),(135,1),(143,1),(172,1),(176,1),(179,1),(200,1),(201,1)}
       106:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(135,1),(136,1),(137,1),(179,1)}
       107:{3,4,6}:{(75,1),(79,1),(125,1),(135,1),(136,1)}
       108:{3,4,6}:{(76,1),(80,1),(85,1),(135,1),(137,1)}
       109:{1,2,4,7}:{(77,1),(86,1),(127,1),(134,1),(138,1),(145,1),(174,1)}
       110:{3,5,7}:{(78,1),(135,1),(138,1),(176,1)}
       111:{2,4,5,7}:{(79,1),(129,1),(136,1),(140,1),(174,1),(197,1)}
       112:{1,4,5,7}:{(80,1),(89,1),(137,1),(139,1),(145,1),(181,1)}
       113:{2,3,5}:{(81,1),(133,1),(141,1),(176,1)}
       114:{2,4,6}:{(82,1),(86,1),(141,1),(142,1)}
       115:{3,5,6}:{(83,1),(87,1),(135,1),(142,1),(176,1)}
       116:{2,4,5,6}:{(84,1),(88,1),(136,1),(144,1),(197,1)}
       117:{1,5,6}:{(85,1),(89,1),(137,1)}
       118:{3,4,7}:{(86,1),(87,1),(142,1),(145,1)}
       119:{1,3,5,7}:{(87,1),(89,1),(90,1),(143,1),(145,1),(147,1),(184,1)}
       120:{2,3,5,7}:{(87,1),(88,1),(91,1),(144,1),(146,1),(147,1)}
       121:{1,2,6,7}:{(90,1),(91,1),(147,1),(179,1)}
       122:{1,3,4,6}:{(92,1),(93,1),(104,1),(148,1),(149,1),(158,1)}
       123:{1,3,5,6}:{(93,1),(94,1),(97,1),(148,1),(149,1),(150,1)}
       124:{1,2,4,5,6}:{(94,1),(95,1),(96,1),(98,1),(106,1),(149,1),(150,1),(151,1),(152,1),(157,1),(187,1),(188,1)}
       125:{3,5,6}:{(95,1),(99,1),(107,1),(151,1)}
       126:{3,4,5,6}:{(96,1),(100,1),(108,1),(150,1),(152,1),(164,1)}
       127:{1,4,7}:{(97,1),(149,1),(153,1)}
       128:{3,5,7}:{(98,1),(101,1),(150,1),(153,1)}
       129:{2,5,7}:{(99,1),(102,1),(151,1)}
       130:{1,4,5,7}:{(100,1),(103,1),(152,1),(154,1)}
       131:{1,3,6,7}:{(101,1),(103,1),(154,1),(156,1),(159,1)}
       132:{2,3,6,7}:{(101,1),(102,1),(155,1),(156,1),(160,1)}
       133:{1,2,5}:{(104,1),(113,1),(148,1)}
       134:{1,2,4,6}:{(105,1),(109,1),(114,1),(149,1),(157,1),(158,1),(165,1),(187,1)}
       135:{3,6}:{(106,1),(110,1)}
       136:{2,4,6}:{(107,1),(111,1),(151,1),(160,1)}
       137:{1,4,6}:{(108,1),(112,1),(117,1),(159,1)}
       138:{3,4,7}:{(109,1),(110,1),(158,1)}
       139:{1,3,5,7}:{(110,1),(112,1),(159,1),(161,1),(163,1),(190,1)}
       140:{2,3,5,7}:{(110,1),(111,1),(160,1),(162,1),(163,1),(191,1)}
       141:{2,4,5}:{(113,1),(114,1),(164,1)}
       142:{3,4,6}:{(114,1),(115,1),(118,1),(164,1),(165,1)}
       143:{1,3,5,6}:{(115,1),(117,1),(119,1),(159,1),(165,1),(167,1),(190,1),(195,1)}
       144:{2,3,5,6}:{(115,1),(116,1),(120,1),(160,1),(166,1),(167,1),(191,1)}
       145:{1,4,7}:{(118,1),(119,1),(165,1)}
       146:{2,3,4,7}:{(118,1),(120,1),(166,1),(168,1)}
       147:{1,2,5,7}:{(119,1),(120,1),(121,1),(167,1),(168,1)}
       148:{1,3,5}:{(122,1),(133,1),(169,1),(176,1)}
       149:{1,4,6}:{(123,1),(127,1),(169,1),(170,1)}
       150:{3,5,6}:{(124,1),(128,1),(135,1),(170,1),(176,1)}
       151:{2,5,6}:{(125,1),(129,1),(136,1)}
       152:{1,4,5,6}:{(126,1),(130,1),(137,1),(171,1),(181,1)}
       153:{3,4,7}:{(127,1),(128,1),(170,1),(174,1)}
       154:{1,3,5,7}:{(128,1),(130,1),(131,1),(171,1),(173,1),(175,1)}
       155:{2,3,5,7}:{(128,1),(129,1),(132,1),(172,1),(174,1),(175,1),(199,1)}
       156:{1,2,6,7}:{(131,1),(132,1),(175,1),(179,1)}
       157:{1,2,4,5}:{(133,1),(134,1),(141,1),(169,1),(176,1),(181,1),(197,1),(200,1)}
       158:{3,4,6}:{(134,1),(135,1),(138,1),(176,1)}
       159:{1,3,6}:{(135,1),(137,1),(139,1),(179,1)}
       160:{2,3,6}:{(135,1),(136,1),(140,1),(179,1)}
       161:{1,3,4,7}:{(138,1),(139,1),(145,1),(177,1),(180,1),(184,1)}
       162:{2,3,4,7}:{(138,1),(140,1),(174,1),(178,1),(180,1),(199,1)}
       163:{1,2,5,7}:{(139,1),(140,1),(179,1),(180,1),(200,1)}
       164:{3,4,5}:{(141,1),(142,1),(176,1),(181,1)}
       165:{1,4,6}:{(142,1),(143,1),(145,1),(181,1)}
       166:{2,3,4,6}:{(142,1),(144,1),(146,1),(182,1),(183,1)}
       167:{1,2,5,6}:{(143,1),(144,1),(147,1),(179,1),(183,1),(200,1)}
       168:{1,2,4,7}:{(145,1),(146,1),(147,1),(183,1),(184,1)}
       169:{1,4,5}:{(148,1),(149,1),(185,1)}
       170:{3,4,6}:{(149,1),(150,1),(153,1),(185,1),(187,1)}
       171:{1,3,5,6}:{(150,1),(152,1),(154,1),(159,1),(186,1),(188,1),(190,1)}
       172:{2,3,5,6}:{(150,1),(151,1),(155,1),(160,1),(187,1),(188,1),(191,1),(204,1)}
       173:{1,3,4,7}:{(153,1),(154,1),(186,1),(189,1)}
       174:{2,4,7}:{(153,1),(155,1),(187,1)}
       175:{1,2,5,7}:{(154,1),(155,1),(156,1),(188,1),(189,1)}
       176:{3,5}:{(157,1),(158,1)}
       177:{1,3,4,6}:{(158,1),(159,1),(161,1),(165,1),(190,1),(192,1),(195,1),(206,1)}
       178:{2,3,4,6}:{(158,1),(160,1),(162,1),(187,1),(191,1),(192,1),(204,1),(209,1)}
       179:{1,2,6}:{(159,1),(160,1),(163,1)}
       180:{1,2,4,7}:{(161,1),(162,1),(163,1),(192,1),(193,1)}
       181:{1,4,5}:{(164,1),(165,1),(190,1)}
       182:{2,3,4,5}:{(164,1),(166,1),(191,1),(194,1),(209,1)}
       183:{1,2,4,6}:{(165,1),(166,1),(167,1),(168,1),(194,1),(195,1)}
       184:{1,3,7}:{(168,1),(195,1)}
       185:{3,4,5}:{(169,1),(170,1),(176,1),(197,1)}
       186:{1,3,4,6}:{(170,1),(171,1),(173,1),(196,1),(198,1)}
       187:{2,4,6}:{(170,1),(172,1),(174,1),(197,1)}
       188:{1,2,5,6}:{(171,1),(172,1),(175,1),(179,1),(198,1),(200,1)}
       189:{1,2,4,7}:{(173,1),(174,1),(175,1),(198,1),(199,1)}
       190:{1,3,5}:{(176,1),(177,1),(181,1),(200,1)}
       191:{2,3,5}:{(176,1),(178,1),(197,1),(200,1)}
       192:{1,2,4,6}:{(177,1),(178,1),(179,1),(180,1),(200,1),(201,1),(208,1)}
       193:{1,2,3,7}:{(180,1),(184,1),(199,1),(201,1)}
       194:{1,2,4,5}:{(181,1),(182,1),(183,1),(200,1),(202,1),(208,1)}
       195:{1,3,6}:{(183,1),(184,1),(202,1)}
       196:{1,3,4,5}:{(185,1),(186,1),(190,1),(203,1),(206,1)}
       197:{2,4,5}:{(185,1),(187,1),(191,1)}
       198:{1,2,4,6}:{(186,1),(187,1),(188,1),(189,1),(203,1),(204,1)}
       199:{2,3,7}:{(189,1),(204,1)}
       200:{1,2,5}:{(190,1),(191,1),(192,1)}
       201:{1,2,3,6}:{(192,1),(193,1),(195,1),(204,1),(205,1)}
       202:{1,3,5}:{(194,1),(195,1),(206,1)}
       203:{1,2,4,5}:{(196,1),(197,1),(198,1),(200,1),(207,1),(208,1)}
       204:{2,3,6}:{(198,1),(199,1),(207,1)}
       205:{1,2,3,5}:{(200,1),(201,1),(202,1),(207,1),(208,1)}
       206:{1,3,4}:{(202,1),(208,1)}
       207:{2,3,5}:{(203,1),(204,1),(209,1)}
       208:{1,2,4}:{(205,1),(206,1),(209,1)}
       209:{2,3,4}:{(207,1),(208,1)}

2115 :   0:{2,3,4,5,6}:{(2,1),(3,1),(34,1),(68,1),(81,1)}
         1:{1,2,3,4,6}:{(4,1),(5,1),(23,1),(24,1)}
         2:{1,2,4,5,6}:{(0,1),(8,1),(9,1),(24,1),(56,1),(61,1)}
         3:{2,3,4,5,7}:{(0,1),(6,1),(9,1),(50,1),(90,1),(103,1)}
         4:{1,2,3,4,7}:{(1,1),(11,1),(40,1)}
         5:{1,2,3,5}:{(1,1),(12,1)}
         6:{2,3,4,6,7}:{(3,1),(15,1),(17,1),(82,1)}
         7:{1,3,4,5}:{(12,1),(18,1)}
         8:{1,3,5,6}:{(2,1),(18,1),(19,1)}
         9:{1,2,4,5,7}:{(2,1),(3,1),(17,1),(19,1),(40,1),(78,1),(83,1)}
        10:{1,2,3,4,6,7}:{(4,1),(21,1),(23,1),(51,1),(54,1),(57,1),(93,1),(98,1),(131,1)}
        11:{1,2,3,5,7}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,2,4,5}:{(5,1),(7,1),(20,1),(24,1)}
        13:{1,2,3,5,6}:{(5,1),(8,1),(23,1),(24,1),(25,1),(49,1),(56,1)}
        14:{3,4,5,6,7}:{(26,1),(27,1),(60,1),(128,1)}
        15:{2,3,5,6,7}:{(6,1),(26,1),(28,1),(60,1),(90,1)}
        16:{1,3,4,5,7}:{(7,1),(22,1),(29,1),(32,1),(53,1),(63,1)}
        17:{1,2,4,6,7}:{(6,1),(9,1),(28,1),(30,1),(62,1)}
        18:{1,3,4,6}:{(7,1),(8,1),(24,1),(32,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(30,1),(32,1)}
        20:{2,3,4,5}:{(12,1),(34,1)}
        21:{1,2,3,5,7}:{(10,1),(35,1),(36,1),(78,1),(118,1),(142,1)}
        22:{1,2,4,5,7}:{(11,1),(12,1),(16,1),(33,1),(37,1),(40,1),(78,1)}
        23:{1,2,3,6}:{(11,1),(37,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(18,1),(34,1),(40,1)}
        25:{1,2,3,5,7}:{(13,1),(19,1),(38,1),(40,1),(70,1),(78,1)}
        26:{2,4,5,6,7}:{(14,1),(15,1),(110,1)}
        27:{1,4,5,6,7}:{(14,1),(41,1),(139,1)}
        28:{1,2,5,6,7}:{(15,1),(17,1),(43,1),(78,1)}
        29:{1,3,4,6}:{(16,1),(37,1),(44,1),(75,1)}
        30:{1,3,6,7}:{(17,1),(19,1)}
        31:{1,3,4,5,6}:{(18,1),(39,1),(44,1),(46,1),(109,1)}
        32:{1,3,4,7}:{(18,1),(19,1),(40,1)}
        33:{2,3,4,5,7}:{(20,1),(22,1),(48,1),(50,1),(53,1),(90,1)}
        34:{2,3,4,6}:{(20,1),(24,1),(49,1),(50,1)}
        35:{1,2,4,5,7}:{(21,1),(53,1),(54,1)}
        36:{1,2,3,5,6}:{(21,1),(23,1),(54,1),(56,1),(93,1),(97,1),(130,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(29,1),(48,1),(56,1)}
        38:{1,2,3,6,7}:{(23,1),(25,1),(30,1),(57,1),(91,1)}
        39:{1,2,4,5,6}:{(24,1),(31,1),(49,1),(56,1),(58,1),(89,1)}
        40:{1,2,4,7}:{(24,1),(25,1),(32,1),(50,1)}
        41:{1,3,5,6,7}:{(27,1),(52,1),(59,1),(60,1),(132,1)}
        42:{1,2,4,5,6,7}:{(26,1),(27,1),(28,1),(59,1),(60,1),(62,1),(99,1),(102,1)}
        43:{1,3,5,6,7}:{(28,1),(30,1),(60,1),(62,1),(63,1)}
        44:{1,3,5,6}:{(29,1),(56,1),(61,1),(63,1),(97,1)}
        45:{1,3,4,6,7}:{(29,1),(30,1),(32,1),(57,1),(62,1),(63,1),(98,1)}
        46:{1,3,4,5,7}:{(31,1),(32,1),(58,1),(63,1),(64,1),(128,1)}
        47:{1,3,4,5,6}:{(66,1),(67,1),(81,1),(114,1),(136,1)}
        48:{2,3,4,6}:{(33,1),(37,1),(68,1),(75,1)}
        49:{2,3,5,6}:{(34,1),(39,1),(70,1)}
        50:{2,3,4,7}:{(34,1),(40,1),(70,1)}
        51:{1,2,3,4,7}:{(65,1),(71,1),(138,1)}
        52:{1,3,4,6,7}:{(41,1),(67,1),(74,1),(82,1)}
        53:{3,4,5,7}:{(35,1),(75,1),(118,1)}
        54:{1,2,4,6}:{(35,1),(36,1),(75,1)}
        55:{1,2,3,5,6,7}:{(36,1),(38,1),(43,1),(77,1),(78,1),(80,1),(111,1),(113,1),(118,1),(142,1),(143,1)}
        56:{1,2,5,6}:{(37,1),(44,1),(68,1),(78,1)}
        57:{1,2,4,6,7}:{(37,1),(38,1),(40,1),(45,1),(69,1),(78,1)}
        58:{1,2,4,5,7}:{(39,1),(40,1),(46,1),(70,1),(78,1),(79,1),(110,1)}
        59:{1,2,5,6,7}:{(41,1),(74,1),(80,1),(142,1)}
        60:{3,5,6,7}:{(42,1),(82,1),(118,1)}
        61:{1,4,5,6}:{(44,1),(81,1),(83,1)}
        62:{1,4,6,7}:{(43,1),(82,1),(83,1)}
        63:{1,3,5,7}:{(44,1),(45,1),(78,1),(83,1),(118,1)}
        64:{1,3,4,6,7}:{(46,1),(79,1),(84,1),(141,1)}
        65:{1,2,3,4,6}:{(51,1),(85,1),(93,1),(123,1)}
        66:{1,2,4,5,6}:{(47,1),(87,1),(88,1),(101,1),(123,1),(130,1)}
        67:{1,3,4,5,7}:{(47,1),(52,1),(88,1),(103,1),(132,1),(146,1)}
        68:{2,3,5,6}:{(48,1),(56,1),(89,1),(90,1),(97,1)}
        69:{2,3,4,6,7}:{(48,1),(50,1),(57,1),(90,1),(91,1),(98,1),(129,1)}
        70:{2,3,5,7}:{(49,1),(50,1),(58,1),(91,1)}
        71:{1,2,3,5,7}:{(51,1),(85,1),(92,1),(93,1)}
        72:{1,3,4,5,7}:{(53,1),(92,1),(94,1),(122,1),(132,1),(146,1)}
        73:{2,3,4,5,7}:{(53,1),(86,1),(92,1),(95,1),(127,1),(133,1)}
        74:{1,2,4,6,7}:{(52,1),(59,1),(88,1),(96,1),(102,1)}
        75:{3,4,6}:{(53,1),(54,1),(97,1)}
        76:{1,2,4,5,6}:{(54,1),(56,1),(61,1),(89,1),(97,1),(99,1),(101,1),(125,1),(130,1)}
        77:{1,2,4,6,7}:{(54,1),(55,1),(62,1),(98,1),(99,1),(102,1),(129,1),(148,1)}
        78:{1,2,5,7}:{(56,1),(57,1),(63,1),(90,1)}
        79:{1,2,4,6,7}:{(58,1),(64,1),(91,1),(100,1),(129,1)}
        80:{2,3,5,6,7}:{(59,1),(60,1),(96,1),(102,1),(133,1)}
        81:{3,4,5,6}:{(61,1),(97,1),(101,1),(103,1)}
        82:{3,4,6,7}:{(60,1),(62,1),(102,1),(103,1)}
        83:{1,4,5,7}:{(61,1),(62,1),(63,1),(103,1)}
        84:{1,3,5,6,7}:{(63,1),(64,1),(100,1),(104,1),(134,1)}
        85:{1,2,3,5}:{(65,1),(105,1)}
        86:{2,3,4,5}:{(105,1),(107,1)}
        87:{2,3,5,6}:{(66,1),(107,1),(108,1)}
        88:{1,2,4,5,7}:{(66,1),(67,1),(74,1),(108,1),(120,1),(138,1),(142,1)}
        89:{2,4,5,6}:{(68,1),(109,1),(110,1)}
        90:{2,3,5,7}:{(68,1),(69,1),(78,1),(110,1),(118,1)}
        91:{2,3,6,7}:{(70,1),(79,1)}
        92:{1,2,4,5,7}:{(71,1),(72,1),(73,1),(105,1),(112,1),(138,1),(142,1)}
        93:{1,2,3,6}:{(71,1),(112,1)}
        94:{1,3,4,6}:{(72,1),(75,1),(112,1),(114,1)}
        95:{2,3,4,6}:{(73,1),(75,1),(112,1),(116,1)}
        96:{2,3,6,7}:{(74,1),(108,1)}
        97:{3,5,6}:{(75,1),(76,1),(118,1)}
        98:{3,4,6,7}:{(75,1),(77,1),(118,1)}
        99:{1,2,4,5,7}:{(76,1),(77,1),(78,1),(83,1),(110,1),(118,1),(120,1),(139,1),(142,1)}
       100:{1,2,5,6,7}:{(78,1),(79,1),(84,1),(111,1)}
       101:{2,4,5,6}:{(81,1),(116,1),(120,1)}
       102:{2,4,6,7}:{(80,1),(82,1),(120,1)}
       103:{3,4,5,7}:{(81,1),(82,1),(83,1),(118,1),(120,1)}
       104:{1,4,5,6,7}:{(83,1),(84,1),(121,1)}
       105:{1,2,4,5}:{(85,1),(86,1),(122,1),(123,1)}
       106:{1,2,3,5,6}:{(85,1),(87,1),(93,1),(123,1),(124,1),(130,1),(145,1)}
       107:{2,3,4,6}:{(86,1),(87,1),(123,1),(127,1)}
       108:{2,3,5,7}:{(87,1),(88,1),(96,1),(127,1)}
       109:{3,4,5,6}:{(89,1),(97,1),(125,1),(128,1)}
       110:{2,4,5,7}:{(89,1),(90,1),(128,1),(129,1)}
       111:{2,3,5,6,7}:{(90,1),(91,1),(100,1),(129,1),(134,1)}
       112:{1,2,4,6}:{(92,1),(93,1),(94,1),(95,1),(130,1)}
       113:{1,2,3,6,7}:{(93,1),(96,1),(124,1),(131,1),(153,1)}
       114:{1,3,5,6}:{(94,1),(97,1),(125,1),(130,1),(132,1)}
       115:{1,3,4,6,7}:{(94,1),(98,1),(131,1),(132,1),(146,1),(148,1),(153,1)}
       116:{2,3,5,6}:{(95,1),(97,1),(101,1),(130,1),(133,1)}
       117:{2,3,4,6,7}:{(95,1),(96,1),(98,1),(102,1),(127,1),(131,1),(133,1)}
       118:{3,5,7}:{(97,1),(98,1),(99,1)}
       119:{1,2,4,5,6,7}:{(99,1),(100,1),(104,1),(129,1),(134,1),(135,1),(148,1),(150,1)}
       120:{2,4,5,7}:{(101,1),(102,1),(103,1),(133,1)}
       121:{3,4,5,6,7}:{(103,1),(104,1),(134,1),(135,1)}
       122:{1,3,4,5}:{(105,1),(136,1)}
       123:{1,2,4,6}:{(105,1),(106,1),(107,1),(136,1),(138,1)}
       124:{1,2,3,5,7}:{(106,1),(108,1),(113,1),(138,1),(142,1),(151,1)}
       125:{1,4,5,6}:{(109,1),(114,1),(139,1)}
       126:{2,3,4,5,6}:{(107,1),(109,1),(116,1),(137,1),(140,1)}
       127:{2,3,4,7}:{(107,1),(108,1),(138,1)}
       128:{3,4,5,7}:{(109,1),(110,1),(118,1),(139,1),(141,1)}
       129:{2,4,6,7}:{(110,1),(111,1),(141,1)}
       130:{1,2,5,6}:{(112,1),(114,1),(116,1),(142,1)}
       131:{1,2,4,6,7}:{(112,1),(113,1),(115,1),(117,1),(138,1),(142,1)}
       132:{1,3,5,7}:{(114,1),(115,1),(118,1),(139,1),(142,1)}
       133:{2,3,5,7}:{(116,1),(117,1),(118,1),(120,1),(142,1)}
       134:{3,5,6,7}:{(118,1),(119,1),(141,1)}
       135:{2,4,5,6,7}:{(120,1),(121,1),(144,1)}
       136:{1,3,4,6}:{(122,1),(123,1),(145,1),(146,1)}
       137:{1,2,4,5,6}:{(123,1),(125,1),(126,1),(130,1),(145,1),(147,1)}
       138:{1,2,4,7}:{(123,1),(124,1),(127,1),(146,1)}
       139:{1,4,5,7}:{(125,1),(128,1),(132,1),(148,1)}
       140:{2,3,4,5,7}:{(126,1),(127,1),(128,1),(133,1),(147,1),(149,1)}
       141:{3,4,6,7}:{(128,1),(129,1),(134,1),(148,1)}
       142:{1,2,5,7}:{(130,1),(131,1),(132,1),(133,1)}
       143:{1,3,5,6,7}:{(132,1),(134,1),(148,1),(150,1),(153,1)}
       144:{2,3,5,6,7}:{(133,1),(134,1),(135,1),(149,1),(150,1)}
       145:{1,3,5,6}:{(136,1),(137,1),(151,1)}
       146:{1,3,4,7}:{(136,1),(138,1),(151,1)}
       147:{1,2,4,5,7}:{(137,1),(138,1),(139,1),(140,1),(142,1),(151,1),(152,1)}
       148:{1,4,6,7}:{(139,1),(141,1),(143,1)}
       149:{2,3,4,6,7}:{(140,1),(141,1),(144,1),(152,1)}
       150:{1,2,5,6,7}:{(142,1),(143,1),(144,1),(152,1)}
       151:{1,3,5,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{1,2,4,6,7}:{(147,1),(148,1),(149,1),(150,1),(153,1)}
       153:{1,3,6,7}:{(151,1),(152,1)}

2116 :   0:{2,3,4,5,6}:{(2,1),(3,1),(34,1),(59,1),(88,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(20,1),(95,1)}
         2:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(44,1),(47,1),(75,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(23,1),(73,1),(76,1)}
         4:{1,4,5,6,7}:{(1,1),(10,1),(100,1)}
         5:{2,4,5,6,7}:{(1,1),(9,1),(87,1)}
         6:{2,3,4,6,7}:{(2,1),(9,1),(12,1),(31,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(12,1),(14,1),(35,1),(57,1),(61,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(15,1)}
         9:{2,3,5,6,7}:{(5,1),(6,1),(18,1),(20,1),(75,1)}
        10:{1,3,5,6,7}:{(4,1),(17,1),(19,1),(20,1),(93,1)}
        11:{1,2,4,5,6,7}:{(4,1),(5,1),(18,1),(19,1),(20,1),(42,1),(43,1),(72,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(18,1),(21,1),(42,1)}
        13:{1,2,3,5,6}:{(8,1),(22,1),(23,1),(48,1),(76,1),(77,1)}
        14:{1,3,5,7}:{(7,1),(8,1),(21,1),(24,1)}
        15:{1,3,4,6}:{(8,1),(23,1),(24,1),(25,1)}
        16:{1,3,4,5,6}:{(26,1),(27,1),(59,1),(78,1),(101,1)}
        17:{1,3,4,6,7}:{(10,1),(26,1),(28,1),(31,1)}
        18:{1,2,5,6,7}:{(9,1),(12,1),(29,1),(61,1)}
        19:{1,2,5,6,7}:{(10,1),(28,1),(30,1),(83,1)}
        20:{3,5,6,7}:{(11,1),(31,1),(85,1)}
        21:{1,3,6,7}:{(12,1),(14,1)}
        22:{1,2,3,5,7}:{(13,1),(14,1),(32,1),(35,1),(61,1),(63,1)}
        23:{1,2,4,6}:{(13,1),(15,1),(34,1),(35,1),(36,1)}
        24:{1,3,4,7}:{(14,1),(15,1),(35,1)}
        25:{1,3,4,5}:{(15,1),(36,1)}
        26:{1,3,4,5,7}:{(16,1),(17,1),(38,1),(44,1),(89,1),(93,1)}
        27:{1,2,4,5,6}:{(16,1),(38,1),(39,1),(66,1),(74,1),(94,1)}
        28:{1,2,4,6,7}:{(17,1),(19,1),(38,1),(40,1),(43,1)}
        29:{1,3,5,6,7}:{(18,1),(20,1),(21,1),(42,1),(46,1)}
        30:{2,3,5,6,7}:{(19,1),(20,1),(40,1),(43,1),(70,1)}
        31:{3,4,6,7}:{(20,1),(42,1),(43,1),(44,1)}
        32:{1,2,3,6,7}:{(21,1),(22,1),(45,1),(77,1)}
        33:{1,3,4,6,7}:{(21,1),(24,1),(42,1),(45,1),(46,1),(50,1),(71,1)}
        34:{2,3,4,6}:{(23,1),(47,1),(48,1),(77,1)}
        35:{1,2,4,7}:{(22,1),(23,1),(24,1),(47,1)}
        36:{1,2,4,5}:{(23,1),(25,1),(48,1)}
        37:{1,3,4,5,7}:{(24,1),(25,1),(46,1),(49,1),(50,1),(95,1)}
        38:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(52,1),(58,1),(79,1),(83,1)}
        39:{2,3,5,6}:{(27,1),(52,1),(53,1)}
        40:{2,3,6,7}:{(28,1),(52,1)}
        41:{1,2,3,5,6,7}:{(29,1),(30,1),(32,1),(54,1),(56,1),(61,1),(83,1),(85,1),(88,1),(101,1)}
        42:{1,4,6,7}:{(29,1),(31,1),(57,1)}
        43:{2,4,6,7}:{(30,1),(31,1),(58,1)}
        44:{3,4,5,7}:{(31,1),(57,1),(58,1),(59,1),(85,1)}
        45:{1,2,4,6,7}:{(32,1),(33,1),(35,1),(60,1),(61,1),(64,1)}
        46:{1,3,5,7}:{(33,1),(57,1),(61,1),(62,1),(85,1)}
        47:{2,3,4,7}:{(34,1),(35,1),(63,1)}
        48:{2,3,5}:{(34,1),(36,1)}
        49:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(61,1),(63,1),(64,1),(87,1)}
        50:{1,3,4,6}:{(37,1),(62,1),(64,1),(102,1)}
        51:{1,2,3,5,6}:{(39,1),(65,1),(66,1),(90,1),(94,1),(103,1)}
        52:{2,3,5,7}:{(38,1),(39,1),(40,1),(67,1)}
        53:{2,3,4,6}:{(39,1),(66,1),(67,1),(68,1)}
        54:{1,2,3,6,7}:{(40,1),(65,1),(69,1),(103,1)}
        55:{2,3,4,6,7}:{(40,1),(43,1),(67,1),(69,1),(70,1),(71,1),(92,1)}
        56:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(71,1),(72,1),(97,1),(104,1)}
        57:{1,4,5,7}:{(42,1),(44,1),(46,1),(73,1)}
        58:{2,4,5,7}:{(43,1),(44,1),(70,1),(74,1)}
        59:{3,4,5,6}:{(44,1),(73,1),(74,1),(96,1)}
        60:{2,3,4,6,7}:{(45,1),(47,1),(71,1),(75,1),(77,1),(97,1)}
        61:{1,2,5,7}:{(45,1),(46,1),(75,1),(76,1)}
        62:{1,3,5,6}:{(46,1),(50,1),(73,1),(76,1),(96,1)}
        63:{2,3,5,7}:{(47,1),(48,1),(49,1),(77,1)}
        64:{1,2,4,6}:{(49,1),(50,1),(76,1),(77,1),(97,1)}
        65:{1,2,3,5,7}:{(51,1),(52,1),(54,1),(79,1),(83,1),(98,1)}
        66:{1,2,4,6}:{(51,1),(53,1),(78,1),(79,1),(80,1)}
        67:{2,3,4,7}:{(52,1),(53,1),(79,1)}
        68:{2,3,4,5}:{(53,1),(80,1)}
        69:{1,2,4,6,7}:{(54,1),(55,1),(79,1),(82,1),(83,1),(99,1)}
        70:{2,3,5,7}:{(55,1),(58,1),(83,1),(84,1),(85,1)}
        71:{3,4,6,7}:{(56,1),(85,1),(102,1)}
        72:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(61,1),(83,1),(85,1),(86,1),(87,1),(100,1)}
        73:{1,4,5,6}:{(57,1),(59,1),(62,1)}
        74:{2,4,5,6}:{(58,1),(59,1),(84,1)}
        75:{2,3,5,7}:{(60,1),(61,1),(85,1),(87,1),(88,1)}
        76:{1,2,5,6}:{(61,1),(62,1),(64,1),(88,1)}
        77:{2,3,6}:{(63,1),(64,1)}
        78:{1,3,4,6}:{(66,1),(89,1),(90,1),(103,1)}
        79:{1,2,4,7}:{(65,1),(66,1),(67,1),(89,1)}
        80:{1,2,4,5}:{(66,1),(68,1),(90,1)}
        81:{2,3,4,5,7}:{(67,1),(68,1),(70,1),(91,1),(92,1),(95,1)}
        82:{1,3,4,6,7}:{(69,1),(71,1),(89,1),(93,1),(103,1),(104,1)}
        83:{1,2,5,7}:{(69,1),(70,1),(93,1),(94,1)}
        84:{2,3,5,6}:{(70,1),(74,1),(92,1),(94,1),(96,1)}
        85:{3,5,7}:{(71,1),(72,1),(96,1)}
        86:{1,2,4,5,6}:{(72,1),(73,1),(74,1),(76,1),(94,1),(96,1),(97,1),(104,1)}
        87:{2,4,5,7}:{(75,1),(95,1),(97,1)}
        88:{2,3,5,6}:{(75,1),(76,1),(77,1),(96,1),(97,1)}
        89:{1,3,4,7}:{(78,1),(79,1),(98,1)}
        90:{1,3,5}:{(78,1),(80,1)}
        91:{1,2,4,5,7}:{(79,1),(80,1),(81,1),(83,1),(98,1),(99,1),(100,1)}
        92:{2,3,4,6}:{(81,1),(84,1),(99,1),(102,1)}
        93:{1,3,5,7}:{(82,1),(83,1),(85,1),(100,1),(101,1)}
        94:{1,2,5,6}:{(83,1),(84,1),(99,1),(101,1)}
        95:{3,4,5,7}:{(85,1),(87,1),(100,1),(102,1)}
        96:{3,5,6}:{(85,1),(86,1),(102,1)}
        97:{2,4,6}:{(87,1),(88,1),(102,1)}
        98:{1,3,5,7}:{(89,1),(90,1),(91,1),(103,1)}
        99:{1,2,4,6}:{(91,1),(92,1),(94,1),(103,1),(104,1)}
       100:{1,4,5,7}:{(93,1),(95,1),(104,1)}
       101:{1,3,5,6}:{(93,1),(94,1),(96,1),(103,1),(104,1)}
       102:{3,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       103:{1,3,6}:{(98,1),(99,1)}
       104:{1,4,6}:{(100,1),(101,1),(102,1)}

2117 :  0:{1,2,3,4,7}:{(1,1),(2,1),(27,1),(79,1)}
        1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(70,1),(71,1)}
        3:{2,3,4,5,7}:{(4,1),(7,1),(20,1),(21,1),(40,1)}
        4:{1,2,4,5,7}:{(1,1),(3,1),(8,1),(9,1),(12,1),(25,1),(27,1)}
        5:{1,2,3,6}:{(1,1),(9,1)}
        6:{1,2,3,5}:{(2,1),(12,1)}
        7:{2,3,4,6}:{(3,1),(9,1),(14,1),(28,1)}
        8:{1,3,4,5,7}:{(4,1),(15,1),(20,1),(35,1),(40,1)}
        9:{1,2,4,6}:{(4,1),(5,1),(7,1),(15,1),(17,1)}
       10:{1,2,3,6,7}:{(5,1),(16,1),(18,1),(65,1),(82,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(17,1),(18,1),(19,1),(39,1),(68,1),(70,1)}
       12:{1,2,4,5}:{(6,1),(19,1),(20,1)}
       13:{2,3,4,6,7}:{(7,1),(16,1),(21,1),(40,1),(44,1),(65,1)}
       14:{2,3,5,6}:{(7,1),(17,1),(21,1),(22,1),(39,1)}
       15:{1,3,4,6}:{(8,1),(9,1),(24,1),(28,1)}
       16:{1,2,4,6,7}:{(9,1),(10,1),(13,1),(23,1),(25,1),(27,1)}
       17:{1,2,5,6}:{(9,1),(14,1),(24,1),(25,1)}
       18:{1,2,3,5,7}:{(10,1),(11,1),(25,1),(27,1),(52,1),(78,1),(79,1)}
       19:{1,2,4,6}:{(11,1),(12,1),(27,1),(28,1)}
       20:{3,4,5}:{(12,1),(28,1)}
       21:{2,3,5,7}:{(13,1),(14,1),(25,1),(32,1),(52,1)}
       22:{2,4,5,6}:{(14,1),(32,1),(33,1)}
       23:{1,3,4,6,7}:{(15,1),(16,1),(35,1),(40,1),(62,1),(65,1)}
       24:{1,3,5,6}:{(15,1),(17,1),(35,1),(36,1),(39,1)}
       25:{1,2,5,7}:{(16,1),(17,1),(21,1),(35,1)}
       26:{1,2,4,5,6}:{(17,1),(19,1),(22,1),(36,1),(38,1),(39,1),(46,1),(64,1),(68,1)}
       27:{1,2,4,7}:{(18,1),(19,1),(40,1)}
       28:{3,4,6}:{(19,1),(20,1),(39,1),(40,1)}
       29:{1,3,4,5}:{(20,1),(41,1),(43,1)}
       30:{2,3,4,5}:{(20,1),(42,1),(43,1)}
       31:{2,3,5,6,7}:{(21,1),(37,1),(44,1),(47,1),(65,1)}
       32:{2,4,5,7}:{(21,1),(22,1),(44,1),(45,1)}
       33:{3,4,5,6}:{(22,1),(39,1),(45,1),(46,1)}
       34:{2,4,5,6,7}:{(44,1),(47,1)}
       35:{1,3,5,7}:{(23,1),(24,1),(25,1),(49,1),(52,1)}
       36:{1,4,5,6}:{(24,1),(49,1),(50,1)}
       37:{1,2,5,6,7}:{(25,1),(31,1),(48,1),(51,1),(61,1),(83,1)}
       38:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(32,1),(49,1),(51,1),(52,1),(60,1),(75,1),(78,1)}
       39:{3,5,6}:{(26,1),(28,1),(52,1)}
       40:{3,4,7}:{(27,1),(28,1),(52,1)}
       41:{1,3,4,6}:{(28,1),(29,1),(53,1),(55,1),(57,1)}
       42:{2,3,4,6}:{(28,1),(30,1),(54,1),(56,1),(57,1)}
       43:{1,2,4,5}:{(29,1),(30,1),(57,1),(58,1)}
       44:{2,4,6,7}:{(31,1),(32,1),(59,1)}
       45:{3,4,5,7}:{(32,1),(33,1),(52,1),(59,1),(60,1)}
       46:{1,4,5,6}:{(33,1),(53,1),(60,1)}
       47:{3,5,6,7}:{(34,1),(59,1),(61,1)}
       48:{1,3,5,6,7}:{(35,1),(37,1),(62,1),(65,1),(80,1)}
       49:{1,4,5,7}:{(35,1),(36,1),(62,1),(63,1)}
       50:{3,4,5,6}:{(36,1),(39,1),(63,1),(64,1)}
       51:{1,2,4,6,7}:{(37,1),(38,1),(44,1),(62,1),(65,1),(72,1),(81,1),(82,1)}
       52:{3,5,7}:{(38,1),(39,1),(40,1),(65,1)}
       53:{1,3,5,6}:{(39,1),(41,1),(46,1),(66,1),(68,1)}
       54:{2,3,5,6}:{(39,1),(42,1),(64,1),(67,1),(68,1)}
       55:{1,3,4,7}:{(40,1),(41,1),(66,1),(69,1)}
       56:{2,3,4,7}:{(40,1),(42,1),(67,1),(69,1)}
       57:{1,2,4,6}:{(41,1),(42,1),(43,1),(68,1),(69,1),(70,1)}
       58:{1,2,3,5}:{(43,1),(70,1),(71,1)}
       59:{3,4,6,7}:{(44,1),(45,1),(47,1),(65,1),(72,1)}
       60:{1,4,5,7}:{(45,1),(46,1),(66,1),(72,1)}
       61:{1,5,6,7}:{(47,1),(72,1)}
       62:{1,4,6,7}:{(48,1),(49,1),(74,1)}
       63:{3,4,5,7}:{(49,1),(50,1),(52,1),(74,1),(75,1)}
       64:{2,4,5,6}:{(50,1),(54,1),(75,1)}
       65:{3,6,7}:{(51,1),(52,1)}
       66:{1,3,5,7}:{(52,1),(53,1),(55,1),(60,1),(76,1),(78,1)}
       67:{2,3,5,7}:{(52,1),(54,1),(56,1),(75,1),(77,1),(78,1)}
       68:{1,2,5,6}:{(53,1),(54,1),(57,1),(78,1)}
       69:{1,2,4,7}:{(55,1),(56,1),(57,1),(78,1),(79,1)}
       70:{1,2,3,6}:{(57,1),(58,1),(79,1)}
       71:{1,2,3,4}:{(58,1)}
       72:{1,4,6,7}:{(59,1),(60,1),(61,1),(76,1)}
       73:{1,4,5,6,7}:{(62,1),(80,1)}
       74:{3,4,6,7}:{(62,1),(63,1),(65,1),(80,1),(81,1)}
       75:{2,4,5,7}:{(63,1),(64,1),(67,1),(81,1)}
       76:{1,3,6,7}:{(65,1),(66,1),(72,1),(82,1)}
       77:{2,3,6,7}:{(65,1),(67,1),(81,1),(82,1)}
       78:{1,2,5,7}:{(66,1),(67,1),(68,1),(69,1),(82,1)}
       79:{1,2,3,7}:{(69,1),(70,1)}
       80:{3,5,6,7}:{(73,1),(74,1),(83,1)}
       81:{2,4,6,7}:{(74,1),(75,1),(77,1),(83,1)}
       82:{1,2,6,7}:{(76,1),(77,1),(78,1)}
       83:{2,5,6,7}:{(80,1),(81,1)}

2118 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(34,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(43,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(33,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(8,1),(20,1),(41,1),(42,1),(43,1),(45,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(20,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(28,1),(29,1),(33,1)}
        8:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(14,1),(47,1),(48,1)}
        9:{3,4,6}:{(5,1),(6,1),(13,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(31,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(32,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(38,1),(39,1),(43,1)}
       13:{3,5,6}:{(7,1),(9,1),(20,1)}
       14:{3,4,6,7}:{(8,1),(9,1),(20,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(21,1),(25,1),(57,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(22,1),(25,1),(57,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(43,1),(58,1),(59,1)}
       18:{3,4,5,6}:{(13,1),(27,1),(28,1),(29,1),(50,1)}
       19:{1,2,4,5,6,7}:{(12,1),(30,1),(47,1),(48,1),(51,1)}
       20:{3,5,7}:{(12,1),(13,1),(14,1)}
       21:{1,3,5,6}:{(13,1),(15,1),(28,1),(31,1),(33,1),(50,1)}
       22:{2,3,5,6}:{(13,1),(16,1),(29,1),(32,1),(33,1),(50,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(31,1),(34,1),(47,1),(60,1),(61,1)}
       24:{2,3,4,6,7}:{(14,1),(16,1),(32,1),(34,1),(48,1),(60,1),(61,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(33,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,4,5,7}:{(18,1),(20,1),(37,1),(38,1),(39,1),(56,1)}
       28:{1,4,5,6}:{(18,1),(21,1),(38,1)}
       29:{2,4,5,6}:{(18,1),(22,1),(39,1)}
       30:{3,5,6,7}:{(19,1),(20,1),(37,1)}
       31:{1,3,5,7}:{(20,1),(21,1),(23,1),(38,1),(43,1),(56,1)}
       32:{2,3,5,7}:{(20,1),(22,1),(24,1),(39,1),(43,1),(56,1)}
       33:{1,2,5,6}:{(21,1),(22,1),(25,1),(43,1)}
       34:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(43,1),(45,1),(58,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(58,1)}
       37:{3,4,6,7}:{(27,1),(30,1),(47,1),(48,1),(60,1)}
       38:{1,4,5,7}:{(27,1),(28,1),(31,1),(47,1)}
       39:{2,4,5,7}:{(27,1),(29,1),(32,1),(48,1)}
       40:{1,2,4,5,6}:{(28,1),(29,1),(33,1),(49,1),(50,1),(53,1)}
       41:{1,3,5,6,7}:{(30,1),(31,1),(47,1),(51,1),(60,1)}
       42:{2,3,5,6,7}:{(30,1),(32,1),(48,1),(51,1),(60,1)}
       43:{1,2,5,7}:{(31,1),(32,1),(33,1),(34,1)}
       44:{1,2,3,5,6}:{(33,1),(35,1),(50,1),(52,1),(53,1),(54,1)}
       45:{1,2,3,6,7}:{(34,1),(35,1),(52,1),(60,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(41,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(42,1)}
       49:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(55,1),(56,1),(58,1)}
       50:{3,5,6}:{(40,1),(56,1),(57,1)}
       51:{1,2,5,6,7}:{(41,1),(42,1),(43,1),(55,1)}
       52:{1,2,3,5,7}:{(43,1),(44,1),(45,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(44,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(51,1),(60,1)}
       56:{3,5,7}:{(49,1),(50,1),(60,1),(61,1)}
       57:{3,4,6}:{(50,1),(53,1),(61,1),(62,1)}
       58:{1,2,4,7}:{(52,1),(53,1),(61,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(57,1),(59,1)}

2119 :   0:{1,2,4,5,6,7}:{(1,1),(8,1),(9,1),(10,1),(22,1),(32,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(41,1),(52,1)}
         2:{1,2,3,5,6,7}:{(6,1),(10,1),(23,1),(33,1),(62,1),(66,1),(67,1),(68,1),(69,1),(71,1),(73,1),(119,1),(122,1),(128,1),(153,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(33,1),(63,1),(75,1)}
         4:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(26,1),(33,1),(66,1),(73,1)}
         5:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(28,1),(33,1),(67,1),(71,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(91,1),(92,1),(97,1),(99,1),(145,1),(149,1),(165,1)}
         7:{3,4,5,7}:{(3,1),(16,1),(17,1),(18,1),(52,1)}
         8:{1,4,6,7}:{(3,1),(4,1),(17,1),(91,1),(99,1)}
         9:{2,4,6,7}:{(3,1),(5,1),(18,1),(92,1),(97,1)}
        10:{1,2,5,6,7}:{(4,1),(5,1),(19,1),(46,1),(49,1),(94,1)}
        11:{1,2,4,5,6,7}:{(21,1),(22,1),(60,1),(61,1),(62,1),(118,1)}
        12:{1,2,4,5,7}:{(6,1),(22,1),(23,1),(64,1),(65,1),(68,1),(161,1)}
        13:{3,4,6,7}:{(6,1),(23,1),(33,1),(63,1),(75,1),(119,1),(159,1),(160,1)}
        14:{1,3,4,6,7}:{(8,1),(26,1),(27,1),(33,1),(34,1),(75,1)}
        15:{2,3,4,6,7}:{(9,1),(28,1),(29,1),(33,1),(57,1),(75,1)}
        16:{3,4,5,6}:{(7,1),(30,1),(31,1),(63,1),(74,1),(173,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(26,1),(30,1)}
        18:{2,4,5,7}:{(7,1),(9,1),(28,1),(31,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(32,1),(33,1),(120,1)}
        20:{1,3,4,5,7}:{(26,1),(34,1),(35,1),(64,1),(75,1),(121,1),(126,1),(130,1),(163,1)}
        21:{3,5,6,7}:{(11,1),(37,1),(41,1),(142,1)}
        22:{1,2,4,5,6}:{(12,1),(41,1),(91,1),(92,1),(94,1)}
        23:{3,5,7}:{(12,1),(13,1),(41,1),(169,1)}
        24:{1,3,4,6,7}:{(13,1),(42,1),(44,1),(50,1),(91,1),(99,1),(103,1),(140,1),(143,1),(144,1),(149,1),(150,1)}
        25:{2,3,4,6,7}:{(13,1),(43,1),(44,1),(47,1),(92,1),(97,1),(108,1),(135,1),(143,1),(144,1),(165,1),(166,1)}
        26:{1,3,5,7}:{(14,1),(17,1),(45,1),(46,1),(52,1)}
        27:{1,2,4,6,7}:{(14,1),(46,1),(47,1),(55,1),(97,1)}
        28:{2,3,5,7}:{(15,1),(18,1),(48,1),(49,1),(52,1)}
        29:{1,2,4,6,7}:{(15,1),(49,1),(50,1),(85,1),(99,1)}
        30:{1,4,5,6}:{(16,1),(17,1),(45,1),(91,1),(170,1)}
        31:{2,4,5,6}:{(16,1),(18,1),(48,1),(92,1),(174,1)}
        32:{1,2,4,5,7}:{(17,1),(18,1),(19,1),(46,1),(49,1),(51,1),(52,1),(97,1),(99,1)}
        33:{3,6,7}:{(19,1),(52,1),(143,1)}
        34:{1,3,4,6}:{(20,1),(45,1),(55,1),(91,1),(100,1),(143,1)}
        35:{1,2,4,5,7}:{(20,1),(46,1),(55,1),(56,1),(97,1),(107,1),(146,1),(151,1)}
        36:{2,3,4,5,7}:{(28,1),(57,1),(58,1),(65,1),(75,1),(121,1),(126,1),(155,1),(172,1)}
        37:{3,4,6,7}:{(21,1),(59,1),(60,1),(61,1),(63,1),(119,1),(159,1)}
        38:{1,3,5,6,7}:{(21,1),(60,1),(62,1),(66,1),(109,1),(119,1),(128,1)}
        39:{2,3,5,6,7}:{(21,1),(61,1),(62,1),(67,1),(76,1),(119,1),(153,1)}
        40:{3,4,5,7}:{(23,1),(63,1),(64,1),(65,1),(75,1),(121,1),(126,1),(159,1),(173,1)}
        41:{3,5,6}:{(22,1),(23,1),(63,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(64,1),(66,1),(68,1),(121,1),(157,1),(163,1)}
        43:{2,3,5,7}:{(23,1),(25,1),(65,1),(67,1),(68,1),(121,1),(132,1),(172,1)}
        44:{1,2,4,6,7}:{(24,1),(25,1),(68,1),(69,1),(120,1),(123,1),(131,1),(156,1)}
        45:{1,3,5,6}:{(26,1),(30,1),(34,1),(70,1),(74,1),(163,1)}
        46:{1,2,5,7}:{(26,1),(27,1),(70,1),(71,1)}
        47:{2,3,6,7}:{(27,1),(33,1),(71,1),(81,1)}
        48:{2,3,5,6}:{(28,1),(31,1),(57,1),(72,1),(74,1),(172,1)}
        49:{1,2,5,7}:{(28,1),(29,1),(72,1),(73,1)}
        50:{1,3,6,7}:{(29,1),(33,1),(73,1),(114,1)}
        51:{1,2,4,5,6}:{(30,1),(31,1),(32,1),(70,1),(72,1),(74,1),(120,1),(124,1),(125,1),(161,1)}
        52:{3,5,7}:{(32,1),(33,1),(74,1),(75,1)}
        53:{2,3,4,6,7}:{(61,1),(76,1),(77,1),(78,1),(119,1),(159,1)}
        54:{2,3,4,5,7}:{(65,1),(76,1),(78,1),(79,1),(82,1),(121,1),(132,1),(159,1),(173,1)}
        55:{1,2,4,6}:{(34,1),(35,1),(70,1),(81,1),(124,1)}
        56:{2,3,5,7}:{(35,1),(81,1),(82,1),(121,1),(132,1)}
        57:{2,3,4,6}:{(36,1),(48,1),(85,1),(92,1),(100,1),(143,1)}
        58:{1,2,4,5,7}:{(36,1),(49,1),(85,1),(86,1),(99,1),(139,1),(147,1),(167,1)}
        59:{3,4,5,7}:{(37,1),(87,1),(88,1),(89,1),(142,1)}
        60:{1,4,6,7}:{(37,1),(38,1),(88,1),(91,1),(149,1)}
        61:{2,4,6,7}:{(37,1),(39,1),(89,1),(92,1),(165,1)}
        62:{1,2,5,6,7}:{(38,1),(39,1),(90,1),(94,1),(102,1),(134,1)}
        63:{3,4,6}:{(40,1),(41,1),(91,1),(92,1),(143,1)}
        64:{1,4,5,7}:{(40,1),(42,1),(91,1),(99,1),(147,1),(149,1),(170,1)}
        65:{2,4,5,7}:{(40,1),(43,1),(92,1),(97,1),(146,1),(165,1),(174,1)}
        66:{1,3,5,6}:{(41,1),(42,1),(91,1),(94,1),(143,1)}
        67:{2,3,5,6}:{(41,1),(43,1),(92,1),(94,1),(143,1)}
        68:{1,2,5,7}:{(42,1),(43,1),(44,1),(94,1),(151,1),(167,1)}
        69:{1,2,3,6,7}:{(44,1),(47,1),(50,1),(95,1),(103,1),(106,1),(135,1),(138,1),(143,1)}
        70:{1,2,5,6}:{(45,1),(46,1),(55,1),(96,1),(151,1)}
        71:{2,3,5,7}:{(46,1),(47,1),(52,1),(96,1),(97,1)}
        72:{1,2,5,6}:{(48,1),(49,1),(85,1),(98,1),(167,1)}
        73:{1,3,5,7}:{(49,1),(50,1),(52,1),(98,1),(99,1)}
        74:{3,5,6}:{(51,1),(52,1),(100,1),(143,1),(169,1)}
        75:{3,4,7}:{(52,1),(97,1),(99,1),(100,1)}
        76:{2,3,5,7}:{(53,1),(89,1),(101,1),(102,1),(142,1)}
        77:{1,2,4,6,7}:{(53,1),(102,1),(103,1),(104,1),(149,1)}
        78:{2,3,4,6}:{(54,1),(92,1),(101,1),(104,1),(143,1),(168,1)}
        79:{1,2,4,5,7}:{(54,1),(102,1),(104,1),(105,1),(107,1),(149,1),(151,1),(170,1)}
        80:{1,2,3,5,7}:{(56,1),(105,1),(106,1),(107,1),(151,1)}
        81:{2,3,6}:{(55,1),(56,1),(143,1)}
        82:{2,3,4,7}:{(56,1),(97,1),(107,1),(108,1),(144,1)}
        83:{1,3,4,6,7}:{(60,1),(109,1),(110,1),(111,1),(119,1),(159,1)}
        84:{1,3,4,5,7}:{(64,1),(109,1),(111,1),(112,1),(115,1),(121,1),(157,1),(159,1),(173,1)}
        85:{1,2,4,6}:{(57,1),(58,1),(72,1),(114,1),(125,1)}
        86:{1,3,5,7}:{(58,1),(114,1),(115,1),(121,1),(157,1)}
        87:{3,4,5,6}:{(59,1),(63,1),(116,1),(117,1),(126,1),(158,1)}
        88:{1,4,5,7}:{(59,1),(60,1),(109,1),(116,1)}
        89:{2,4,5,7}:{(59,1),(61,1),(76,1),(117,1)}
        90:{1,2,4,6,7}:{(60,1),(61,1),(62,1),(118,1),(119,1),(120,1)}
        91:{1,4,6}:{(63,1),(64,1),(66,1)}
        92:{2,4,6}:{(63,1),(65,1),(67,1)}
        93:{1,2,4,5,7}:{(64,1),(65,1),(68,1),(120,1),(121,1),(123,1),(161,1)}
        94:{1,2,5,6}:{(66,1),(67,1),(68,1),(120,1)}
        95:{1,2,3,5,7}:{(68,1),(69,1),(71,1),(73,1),(121,1),(122,1),(123,1),(128,1),(153,1)}
        96:{2,3,5,6}:{(70,1),(71,1),(74,1),(81,1),(124,1),(132,1)}
        97:{2,4,7}:{(71,1),(75,1),(124,1)}
        98:{1,3,5,6}:{(72,1),(73,1),(74,1),(114,1),(125,1),(157,1)}
        99:{1,4,7}:{(73,1),(75,1),(125,1)}
       100:{3,4,6}:{(74,1),(75,1),(124,1),(125,1),(126,1)}
       101:{2,3,5,6}:{(76,1),(78,1),(117,1),(127,1),(132,1),(158,1)}
       102:{1,2,5,7}:{(76,1),(77,1),(127,1),(128,1)}
       103:{1,3,6,7}:{(77,1),(119,1),(128,1),(129,1)}
       104:{1,2,4,6}:{(78,1),(79,1),(127,1),(129,1),(162,1)}
       105:{1,3,5,7}:{(79,1),(121,1),(129,1),(130,1),(163,1)}
       106:{1,2,3,6}:{(80,1),(81,1),(129,1),(131,1)}
       107:{1,2,4,7}:{(80,1),(82,1),(130,1),(131,1)}
       108:{2,3,4,6}:{(81,1),(82,1),(124,1),(131,1),(132,1),(160,1)}
       109:{1,3,5,7}:{(83,1),(88,1),(133,1),(134,1),(142,1)}
       110:{1,2,4,6,7}:{(83,1),(134,1),(135,1),(136,1),(165,1)}
       111:{1,3,4,6}:{(84,1),(91,1),(133,1),(136,1),(143,1),(168,1)}
       112:{1,2,4,5,7}:{(84,1),(134,1),(136,1),(137,1),(139,1),(165,1),(167,1),(174,1)}
       113:{1,2,3,5,7}:{(86,1),(137,1),(138,1),(139,1),(167,1)}
       114:{1,3,6}:{(85,1),(86,1),(143,1)}
       115:{1,3,4,7}:{(86,1),(99,1),(139,1),(140,1),(144,1)}
       116:{1,4,5,6}:{(87,1),(88,1),(91,1),(133,1),(147,1)}
       117:{2,4,5,6}:{(87,1),(89,1),(92,1),(101,1),(146,1)}
       118:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(102,1),(134,1),(141,1),(142,1),(149,1),(165,1)}
       119:{3,6,7}:{(90,1),(142,1),(143,1)}
       120:{1,2,4,6}:{(91,1),(92,1),(93,1),(94,1),(143,1)}
       121:{3,5,7}:{(93,1),(143,1),(144,1),(169,1)}
       122:{1,2,3,5,6}:{(94,1),(95,1),(96,1),(98,1),(106,1),(138,1),(143,1),(145,1),(148,1),(151,1),(164,1),(167,1),(169,1)}
       123:{1,2,4,7}:{(95,1),(97,1),(99,1),(144,1),(145,1),(149,1),(165,1)}
       124:{2,4,6}:{(96,1),(97,1),(100,1),(146,1)}
       125:{1,4,6}:{(98,1),(99,1),(100,1),(147,1)}
       126:{3,4,5}:{(100,1),(146,1),(147,1),(169,1)}
       127:{1,2,5,6}:{(101,1),(102,1),(104,1),(148,1),(151,1)}
       128:{1,3,5,7}:{(102,1),(103,1),(142,1),(148,1),(149,1)}
       129:{1,3,6}:{(104,1),(105,1),(143,1)}
       130:{1,3,4,7}:{(105,1),(107,1),(144,1),(149,1),(150,1)}
       131:{1,2,4,6}:{(106,1),(107,1),(108,1),(150,1),(151,1)}
       132:{2,3,5}:{(108,1),(146,1),(151,1),(169,1)}
       133:{1,3,5,6}:{(109,1),(111,1),(116,1),(152,1),(157,1),(158,1)}
       134:{1,2,5,7}:{(109,1),(110,1),(152,1),(153,1)}
       135:{2,3,6,7}:{(110,1),(119,1),(153,1),(154,1)}
       136:{1,2,4,6}:{(111,1),(112,1),(152,1),(154,1),(171,1)}
       137:{2,3,5,7}:{(112,1),(121,1),(154,1),(155,1),(172,1)}
       138:{1,2,3,6}:{(113,1),(114,1),(154,1),(156,1)}
       139:{1,2,4,7}:{(113,1),(115,1),(155,1),(156,1)}
       140:{1,3,4,6}:{(114,1),(115,1),(125,1),(156,1),(157,1),(160,1)}
       141:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(120,1),(127,1),(152,1),(158,1),(161,1),(162,1),(171,1)}
       142:{3,5,7}:{(118,1),(119,1),(158,1),(159,1)}
       143:{3,6}:{(120,1),(121,1)}
       144:{3,4,7}:{(121,1),(123,1),(160,1)}
       145:{1,2,4,6}:{(122,1),(123,1),(124,1),(125,1),(160,1),(161,1),(162,1),(171,1)}
       146:{2,4,5}:{(124,1),(126,1),(132,1)}
       147:{1,4,5}:{(125,1),(126,1),(157,1)}
       148:{1,3,5,6}:{(127,1),(128,1),(129,1),(158,1),(162,1),(163,1)}
       149:{1,4,7}:{(128,1),(159,1),(162,1)}
       150:{1,3,4,6}:{(129,1),(130,1),(131,1),(160,1),(162,1),(163,1)}
       151:{1,2,5}:{(131,1),(132,1),(163,1)}
       152:{1,2,5,6}:{(133,1),(134,1),(136,1),(164,1),(167,1)}
       153:{2,3,5,7}:{(134,1),(135,1),(142,1),(164,1),(165,1)}
       154:{2,3,6}:{(136,1),(137,1),(143,1)}
       155:{2,3,4,7}:{(137,1),(139,1),(144,1),(165,1),(166,1)}
       156:{1,2,4,6}:{(138,1),(139,1),(140,1),(166,1),(167,1)}
       157:{1,3,5}:{(140,1),(147,1),(167,1),(169,1)}
       158:{3,5,6}:{(141,1),(142,1),(143,1),(168,1),(169,1)}
       159:{3,4,7}:{(142,1),(149,1),(165,1),(168,1)}
       160:{3,4,6}:{(143,1),(144,1),(145,1),(169,1)}
       161:{1,2,4,5}:{(145,1),(146,1),(147,1),(151,1),(167,1),(169,1),(170,1),(174,1)}
       162:{1,4,6}:{(148,1),(149,1),(168,1),(170,1)}
       163:{1,3,5}:{(150,1),(151,1),(169,1),(170,1)}
       164:{2,3,5,6}:{(152,1),(153,1),(154,1),(158,1),(171,1),(172,1)}
       165:{2,4,7}:{(153,1),(159,1),(171,1)}
       166:{2,3,4,6}:{(154,1),(155,1),(156,1),(160,1),(171,1),(172,1)}
       167:{1,2,5}:{(156,1),(157,1),(172,1)}
       168:{3,4,6}:{(158,1),(159,1),(162,1),(171,1),(173,1)}
       169:{3,5}:{(160,1),(161,1)}
       170:{1,4,5}:{(162,1),(163,1),(173,1)}
       171:{2,4,6}:{(164,1),(165,1),(168,1),(174,1)}
       172:{2,3,5}:{(166,1),(167,1),(169,1),(174,1)}
       173:{3,4,5}:{(168,1),(169,1),(170,1),(174,1)}
       174:{2,4,5}:{(171,1),(172,1),(173,1)}

2120 :   0:{3,4,5,6,7}:{(1,1),(2,1),(14,1),(92,1)}
         1:{1,4,5,6,7}:{(0,1),(5,1),(99,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(97,1)}
         3:{2,3,4,5,6}:{(7,1),(8,1),(49,1),(50,1),(98,1)}
         4:{2,3,5,6,7}:{(2,1),(10,1),(12,1),(14,1),(88,1)}
         5:{1,3,5,6,7}:{(1,1),(11,1),(13,1),(14,1),(90,1)}
         6:{1,2,4,5,6,7}:{(1,1),(2,1),(12,1),(13,1),(14,1),(32,1),(33,1),(63,1)}
         7:{2,3,4,5,7}:{(3,1),(10,1),(15,1),(34,1),(66,1),(88,1)}
         8:{1,2,4,5,6}:{(3,1),(15,1),(16,1),(36,1),(64,1),(89,1)}
         9:{1,3,4,5,6}:{(17,1),(18,1),(49,1),(70,1),(100,1)}
        10:{2,3,4,6,7}:{(4,1),(7,1),(19,1),(23,1)}
        11:{1,3,4,6,7}:{(5,1),(17,1),(20,1),(23,1)}
        12:{1,2,5,6,7}:{(4,1),(19,1),(21,1),(75,1)}
        13:{1,2,5,6,7}:{(5,1),(20,1),(22,1),(78,1)}
        14:{3,5,6,7}:{(6,1),(23,1),(80,1)}
        15:{1,2,4,5,7}:{(7,1),(8,1),(19,1),(25,1),(47,1),(51,1),(75,1)}
        16:{1,3,5,6}:{(8,1),(25,1),(26,1)}
        17:{1,3,4,5,7}:{(9,1),(11,1),(27,1),(34,1),(84,1),(90,1)}
        18:{1,2,4,5,6}:{(9,1),(27,1),(28,1),(55,1),(65,1),(91,1)}
        19:{1,2,4,6,7}:{(10,1),(12,1),(15,1),(29,1),(32,1)}
        20:{1,2,4,6,7}:{(11,1),(13,1),(27,1),(30,1),(33,1)}
        21:{1,3,5,6,7}:{(12,1),(14,1),(29,1),(32,1),(59,1)}
        22:{2,3,5,6,7}:{(13,1),(14,1),(30,1),(33,1),(61,1)}
        23:{3,4,6,7}:{(14,1),(32,1),(33,1),(34,1)}
        24:{1,2,3,5,6}:{(16,1),(35,1),(36,1),(67,1),(89,1),(94,1)}
        25:{1,3,5,7}:{(15,1),(16,1),(29,1),(37,1)}
        26:{1,3,4,6}:{(16,1),(36,1),(37,1),(38,1)}
        27:{1,2,4,5,7}:{(17,1),(18,1),(20,1),(40,1),(48,1),(71,1),(78,1)}
        28:{2,3,5,6}:{(18,1),(40,1),(41,1)}
        29:{1,3,6,7}:{(19,1),(25,1)}
        30:{2,3,6,7}:{(20,1),(40,1)}
        31:{1,2,3,5,6,7}:{(21,1),(22,1),(42,1),(44,1),(46,1),(75,1),(78,1),(80,1),(98,1),(100,1)}
        32:{1,4,6,7}:{(21,1),(23,1),(47,1)}
        33:{2,4,6,7}:{(22,1),(23,1),(48,1)}
        34:{3,4,5,7}:{(23,1),(47,1),(48,1),(49,1),(80,1)}
        35:{1,2,3,5,7}:{(24,1),(25,1),(42,1),(51,1),(75,1),(82,1)}
        36:{1,2,4,6}:{(24,1),(26,1),(50,1),(51,1),(52,1)}
        37:{1,3,4,7}:{(25,1),(26,1),(51,1)}
        38:{1,3,4,5}:{(26,1),(52,1)}
        39:{1,2,3,5,6}:{(28,1),(54,1),(55,1),(85,1),(91,1),(102,1)}
        40:{2,3,5,7}:{(27,1),(28,1),(30,1),(56,1)}
        41:{2,3,4,6}:{(28,1),(55,1),(56,1),(57,1)}
        42:{1,2,3,6,7}:{(29,1),(35,1),(58,1),(94,1)}
        43:{1,3,4,6,7}:{(29,1),(32,1),(37,1),(58,1),(59,1),(62,1),(69,1)}
        44:{1,2,3,6,7}:{(30,1),(54,1),(60,1),(102,1)}
        45:{2,3,4,6,7}:{(30,1),(33,1),(56,1),(60,1),(61,1),(62,1),(87,1)}
        46:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(62,1),(63,1),(103,1),(104,1)}
        47:{1,4,5,7}:{(32,1),(34,1),(59,1),(64,1)}
        48:{2,4,5,7}:{(33,1),(34,1),(61,1),(65,1)}
        49:{3,4,5,6}:{(34,1),(64,1),(65,1),(93,1)}
        50:{2,3,4,6}:{(36,1),(66,1),(67,1),(94,1)}
        51:{1,2,4,7}:{(35,1),(36,1),(37,1),(66,1)}
        52:{1,2,4,5}:{(36,1),(38,1),(67,1)}
        53:{1,3,4,5,7}:{(37,1),(38,1),(59,1),(68,1),(69,1),(92,1)}
        54:{1,2,3,5,7}:{(39,1),(40,1),(44,1),(71,1),(78,1),(95,1)}
        55:{1,2,4,6}:{(39,1),(41,1),(70,1),(71,1),(72,1)}
        56:{2,3,4,7}:{(40,1),(41,1),(71,1)}
        57:{2,3,4,5}:{(41,1),(72,1)}
        58:{1,2,4,6,7}:{(42,1),(43,1),(51,1),(74,1),(75,1),(83,1)}
        59:{1,3,5,7}:{(43,1),(47,1),(75,1),(76,1),(80,1)}
        60:{1,2,4,6,7}:{(44,1),(45,1),(71,1),(77,1),(78,1),(96,1)}
        61:{2,3,5,7}:{(45,1),(48,1),(78,1),(79,1),(80,1)}
        62:{3,4,6,7}:{(46,1),(80,1),(101,1)}
        63:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(75,1),(78,1),(80,1),(81,1),(97,1),(99,1)}
        64:{1,4,5,6}:{(47,1),(49,1),(76,1)}
        65:{2,4,5,6}:{(48,1),(49,1),(79,1)}
        66:{2,3,4,7}:{(50,1),(51,1),(82,1)}
        67:{2,3,5}:{(50,1),(52,1)}
        68:{1,2,4,5,7}:{(51,1),(52,1),(53,1),(75,1),(82,1),(83,1),(97,1)}
        69:{1,3,4,6}:{(53,1),(76,1),(83,1),(101,1)}
        70:{1,3,4,6}:{(55,1),(84,1),(85,1),(102,1)}
        71:{1,2,4,7}:{(54,1),(55,1),(56,1),(84,1)}
        72:{1,2,4,5}:{(55,1),(57,1),(85,1)}
        73:{2,3,4,5,7}:{(56,1),(57,1),(61,1),(86,1),(87,1),(92,1)}
        74:{2,3,4,6,7}:{(58,1),(62,1),(66,1),(88,1),(94,1),(103,1)}
        75:{1,2,5,7}:{(58,1),(59,1),(88,1),(89,1)}
        76:{1,3,5,6}:{(59,1),(64,1),(69,1),(89,1),(93,1)}
        77:{1,3,4,6,7}:{(60,1),(62,1),(84,1),(90,1),(102,1),(104,1)}
        78:{1,2,5,7}:{(60,1),(61,1),(90,1),(91,1)}
        79:{2,3,5,6}:{(61,1),(65,1),(87,1),(91,1),(93,1)}
        80:{3,5,7}:{(62,1),(63,1),(93,1)}
        81:{1,2,4,5,6}:{(63,1),(64,1),(65,1),(89,1),(91,1),(93,1),(103,1),(104,1)}
        82:{2,3,5,7}:{(66,1),(67,1),(68,1),(94,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(89,1),(94,1),(103,1)}
        84:{1,3,4,7}:{(70,1),(71,1),(95,1)}
        85:{1,3,5}:{(70,1),(72,1)}
        86:{1,2,4,5,7}:{(71,1),(72,1),(73,1),(78,1),(95,1),(96,1),(99,1)}
        87:{2,3,4,6}:{(73,1),(79,1),(96,1),(101,1)}
        88:{2,3,5,7}:{(74,1),(75,1),(80,1),(97,1),(98,1)}
        89:{1,2,5,6}:{(75,1),(76,1),(83,1),(98,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(80,1),(99,1),(100,1)}
        91:{1,2,5,6}:{(78,1),(79,1),(96,1),(100,1)}
        92:{3,4,5,7}:{(80,1),(97,1),(99,1),(101,1)}
        93:{3,5,6}:{(80,1),(81,1),(101,1)}
        94:{2,3,6}:{(82,1),(83,1)}
        95:{1,3,5,7}:{(84,1),(85,1),(86,1),(102,1)}
        96:{1,2,4,6}:{(86,1),(87,1),(91,1),(102,1),(104,1)}
        97:{2,4,5,7}:{(88,1),(92,1),(103,1)}
        98:{2,3,5,6}:{(88,1),(89,1),(93,1),(94,1),(103,1)}
        99:{1,4,5,7}:{(90,1),(92,1),(104,1)}
       100:{1,3,5,6}:{(90,1),(91,1),(93,1),(102,1),(104,1)}
       101:{3,4,6}:{(92,1),(93,1),(103,1),(104,1)}
       102:{1,3,6}:{(95,1),(96,1)}
       103:{2,4,6}:{(97,1),(98,1),(101,1)}
       104:{1,4,6}:{(99,1),(100,1),(101,1)}

2121 :  0:{1,2,3,4,7}:{(1,1),(2,1),(31,1),(54,1)}
        1:{1,2,3,4,6}:{(0,1),(4,1),(6,1),(16,1),(18,1),(39,1)}
        2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        3:{1,3,4,5,7}:{(5,1),(7,1),(17,1),(23,1),(43,1)}
        4:{1,2,3,5}:{(1,1),(9,1)}
        5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(11,1),(31,1),(32,1)}
        6:{1,2,3,6}:{(2,1),(11,1)}
        7:{1,3,4,6}:{(3,1),(11,1),(13,1),(29,1)}
        8:{2,3,4,5,7}:{(5,1),(15,1),(17,1),(37,1),(43,1)}
        9:{1,2,4,5}:{(4,1),(17,1),(18,1)}
       10:{1,2,3,5,6}:{(4,1),(6,1),(18,1),(19,1),(20,1),(39,1),(42,1),(67,1)}
       11:{1,2,4,6}:{(5,1),(6,1),(7,1),(15,1),(20,1)}
       12:{1,2,3,6,7}:{(6,1),(19,1),(21,1),(71,1),(82,1)}
       13:{1,3,5,6}:{(7,1),(20,1),(22,1),(23,1),(42,1)}
       14:{1,3,4,6,7}:{(7,1),(21,1),(23,1),(43,1),(48,1),(71,1)}
       15:{2,3,4,6}:{(8,1),(11,1),(24,1),(29,1)}
       16:{1,2,3,4}:{(26,1)}
       17:{3,4,5}:{(9,1),(29,1)}
       18:{1,2,4,6}:{(9,1),(10,1),(29,1),(31,1)}
       19:{1,2,3,5,7}:{(10,1),(12,1),(31,1),(32,1),(54,1),(59,1),(77,1)}
       20:{1,2,5,6}:{(11,1),(13,1),(24,1),(32,1)}
       21:{1,2,4,6,7}:{(11,1),(12,1),(14,1),(25,1),(31,1),(32,1)}
       22:{1,4,5,6}:{(13,1),(33,1),(34,1)}
       23:{1,3,5,7}:{(13,1),(14,1),(32,1),(34,1),(59,1)}
       24:{2,3,5,6}:{(15,1),(20,1),(36,1),(37,1),(42,1)}
       25:{2,3,4,6,7}:{(15,1),(21,1),(37,1),(43,1),(66,1),(71,1)}
       26:{1,2,3,5}:{(16,1),(38,1),(39,1)}
       27:{1,3,4,5}:{(17,1),(38,1),(40,1)}
       28:{2,3,4,5}:{(17,1),(38,1),(41,1)}
       29:{3,4,6}:{(17,1),(18,1),(42,1),(43,1)}
       30:{1,2,4,5,6}:{(18,1),(20,1),(22,1),(36,1),(42,1),(44,1),(46,1),(64,1),(67,1)}
       31:{1,2,4,7}:{(18,1),(19,1),(43,1)}
       32:{1,2,5,7}:{(20,1),(21,1),(23,1),(37,1)}
       33:{3,4,5,6}:{(22,1),(42,1),(46,1),(47,1)}
       34:{1,4,5,7}:{(22,1),(23,1),(47,1),(48,1)}
       35:{1,3,5,6,7}:{(23,1),(45,1),(48,1),(63,1),(71,1)}
       36:{2,4,5,6}:{(24,1),(50,1),(51,1)}
       37:{2,3,5,7}:{(24,1),(25,1),(32,1),(51,1),(59,1)}
       38:{1,2,4,5}:{(26,1),(27,1),(28,1),(53,1)}
       39:{1,2,3,6}:{(26,1),(53,1),(54,1)}
       40:{1,3,4,6}:{(27,1),(29,1),(53,1),(55,1),(56,1)}
       41:{2,3,4,6}:{(28,1),(29,1),(53,1),(57,1),(58,1)}
       42:{3,5,6}:{(29,1),(30,1),(59,1)}
       43:{3,4,7}:{(29,1),(31,1),(59,1)}
       44:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(34,1),(51,1),(59,1),(60,1),(61,1),(75,1),(77,1)}
       45:{1,2,5,6,7}:{(32,1),(35,1),(52,1),(60,1),(73,1),(83,1)}
       46:{2,4,5,6}:{(33,1),(57,1),(61,1)}
       47:{3,4,5,7}:{(33,1),(34,1),(59,1),(61,1),(62,1)}
       48:{1,4,6,7}:{(34,1),(35,1),(62,1)}
       49:{1,4,5,6,7}:{(48,1),(63,1)}
       50:{3,4,5,6}:{(36,1),(42,1),(64,1),(65,1)}
       51:{2,4,5,7}:{(36,1),(37,1),(65,1),(66,1)}
       52:{2,3,5,6,7}:{(37,1),(45,1),(66,1),(71,1),(80,1)}
       53:{1,2,4,6}:{(38,1),(39,1),(40,1),(41,1),(67,1),(68,1)}
       54:{1,2,3,7}:{(39,1),(68,1)}
       55:{1,3,5,6}:{(40,1),(42,1),(64,1),(67,1),(69,1)}
       56:{1,3,4,7}:{(40,1),(43,1),(68,1),(69,1)}
       57:{2,3,5,6}:{(41,1),(42,1),(46,1),(67,1),(70,1)}
       58:{2,3,4,7}:{(41,1),(43,1),(68,1),(70,1)}
       59:{3,5,7}:{(42,1),(43,1),(44,1),(71,1)}
       60:{1,2,4,6,7}:{(44,1),(45,1),(48,1),(66,1),(71,1),(72,1),(81,1),(82,1)}
       61:{2,4,5,7}:{(46,1),(47,1),(70,1),(72,1)}
       62:{3,4,6,7}:{(47,1),(48,1),(63,1),(71,1),(72,1)}
       63:{3,5,6,7}:{(49,1),(62,1),(73,1)}
       64:{1,4,5,6}:{(50,1),(55,1),(75,1)}
       65:{3,4,5,7}:{(50,1),(51,1),(59,1),(75,1),(76,1)}
       66:{2,4,6,7}:{(51,1),(52,1),(76,1)}
       67:{1,2,5,6}:{(53,1),(55,1),(57,1),(77,1)}
       68:{1,2,4,7}:{(53,1),(54,1),(56,1),(58,1),(77,1)}
       69:{1,3,5,7}:{(55,1),(56,1),(59,1),(75,1),(77,1),(78,1)}
       70:{2,3,5,7}:{(57,1),(58,1),(59,1),(61,1),(77,1),(79,1)}
       71:{3,6,7}:{(59,1),(60,1)}
       72:{2,4,6,7}:{(61,1),(62,1),(73,1),(79,1)}
       73:{2,5,6,7}:{(63,1),(72,1)}
       74:{2,4,5,6,7}:{(66,1),(80,1)}
       75:{1,4,5,7}:{(64,1),(65,1),(69,1),(81,1)}
       76:{3,4,6,7}:{(65,1),(66,1),(71,1),(80,1),(81,1)}
       77:{1,2,5,7}:{(67,1),(68,1),(69,1),(70,1),(82,1)}
       78:{1,3,6,7}:{(69,1),(71,1),(81,1),(82,1)}
       79:{2,3,6,7}:{(70,1),(71,1),(72,1),(82,1)}
       80:{3,5,6,7}:{(74,1),(76,1),(83,1)}
       81:{1,4,6,7}:{(75,1),(76,1),(78,1),(83,1)}
       82:{1,2,6,7}:{(77,1),(78,1),(79,1)}
       83:{1,5,6,7}:{(80,1),(81,1)}

2122 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(8,1),(22,1),(25,1),(27,1)}
         2:{1,2,3,5}:{(0,1),(7,1),(8,1)}
         3:{1,3,4,5}:{(7,1),(9,1),(26,1)}
         4:{1,2,3,4}:{(10,1)}
         5:{1,2,3,4,7}:{(1,1),(12,1),(18,1),(38,1),(47,1)}
         6:{1,2,3,5}:{(1,1),(13,1)}
         7:{1,2,4,5}:{(2,1),(3,1),(16,1),(17,1)}
         8:{1,2,3,6}:{(2,1),(17,1),(18,1)}
         9:{1,3,4,6}:{(3,1),(17,1),(19,1),(20,1),(45,1)}
        10:{1,2,3,5}:{(4,1),(21,1),(22,1)}
        11:{2,3,4,5}:{(21,1),(23,1),(26,1)}
        12:{1,2,3,5,7}:{(5,1),(6,1),(24,1),(25,1)}
        13:{1,2,4,5}:{(6,1),(26,1),(27,1)}
        14:{1,2,3,5,6}:{(6,1),(8,1),(22,1),(25,1),(27,1),(28,1),(33,1),(56,1),(60,1),(63,1)}
        15:{3,4,5,6}:{(29,1),(30,1),(31,1),(63,1),(88,1)}
        16:{2,3,4,5}:{(7,1),(26,1),(32,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(9,1),(32,1),(33,1),(34,1)}
        18:{1,2,3,7}:{(8,1),(34,1)}
        19:{1,3,5,6}:{(9,1),(29,1),(33,1),(35,1),(63,1)}
        20:{1,3,4,7}:{(9,1),(34,1),(35,1),(64,1)}
        21:{1,2,4,5}:{(10,1),(11,1),(36,1),(37,1)}
        22:{1,2,3,6}:{(10,1),(37,1),(38,1)}
        23:{2,3,4,6}:{(11,1),(37,1),(39,1),(40,1),(45,1)}
        24:{1,2,4,5,7}:{(12,1),(13,1),(41,1),(42,1),(47,1),(77,1)}
        25:{1,2,3,6}:{(12,1),(42,1)}
        26:{3,4,5}:{(13,1),(45,1)}
        27:{1,2,4,6}:{(13,1),(14,1),(45,1),(47,1)}
        28:{1,2,3,5,7}:{(14,1),(18,1),(38,1),(43,1),(47,1),(53,1),(73,1),(77,1),(81,1)}
        29:{1,4,5,6}:{(15,1),(19,1),(48,1)}
        30:{2,4,5,6}:{(15,1),(39,1),(49,1)}
        31:{3,4,5,7}:{(15,1),(48,1),(49,1),(50,1),(81,1),(96,1)}
        32:{2,3,4,6}:{(16,1),(17,1),(45,1),(51,1),(52,1)}
        33:{1,2,5,6}:{(17,1),(19,1),(51,1),(53,1)}
        34:{1,2,4,7}:{(17,1),(18,1),(20,1),(52,1),(53,1)}
        35:{1,3,5,7}:{(19,1),(20,1),(48,1),(53,1),(54,1),(81,1)}
        36:{1,3,4,5}:{(21,1),(26,1),(55,1)}
        37:{1,2,4,6}:{(21,1),(22,1),(23,1),(55,1),(56,1),(57,1)}
        38:{1,2,3,7}:{(22,1),(57,1)}
        39:{2,3,5,6}:{(23,1),(30,1),(56,1),(58,1),(63,1)}
        40:{2,3,4,7}:{(23,1),(57,1),(58,1),(64,1)}
        41:{3,4,5,7}:{(24,1),(26,1),(59,1),(64,1),(89,1)}
        42:{1,2,4,6}:{(24,1),(25,1),(59,1),(60,1)}
        43:{1,2,3,6,7}:{(25,1),(28,1),(61,1),(70,1),(87,1),(92,1)}
        44:{4,5,6,7}:{(62,1),(101,1)}
        45:{3,4,6}:{(26,1),(27,1),(63,1),(64,1)}
        46:{1,2,4,5,6}:{(27,1),(29,1),(30,1),(33,1),(56,1),(60,1),(63,1),(65,1),(68,1),(85,1),(88,1)}
        47:{1,2,4,7}:{(27,1),(28,1),(64,1)}
        48:{1,4,5,7}:{(29,1),(31,1),(35,1),(66,1)}
        49:{2,4,5,7}:{(30,1),(31,1),(58,1),(67,1)}
        50:{3,4,6,7}:{(31,1),(62,1),(66,1),(67,1),(92,1),(101,1)}
        51:{2,3,5,6}:{(32,1),(33,1),(63,1),(68,1),(69,1)}
        52:{2,3,4,7}:{(32,1),(34,1),(64,1),(69,1)}
        53:{1,2,5,7}:{(33,1),(34,1),(35,1),(69,1),(70,1)}
        54:{1,3,6,7}:{(35,1),(66,1),(70,1),(92,1)}
        55:{1,3,4,6}:{(36,1),(37,1),(45,1),(71,1),(72,1)}
        56:{1,2,5,6}:{(37,1),(39,1),(71,1),(73,1)}
        57:{1,2,4,7}:{(37,1),(38,1),(40,1),(72,1),(73,1)}
        58:{2,3,5,7}:{(39,1),(40,1),(49,1),(73,1),(74,1),(81,1)}
        59:{3,4,6}:{(41,1),(42,1),(75,1)}
        60:{1,2,5,6}:{(42,1),(75,1),(77,1)}
        61:{1,2,4,6,7}:{(42,1),(43,1),(47,1),(76,1),(77,1)}
        62:{3,5,6,7}:{(44,1),(50,1),(78,1),(79,1)}
        63:{3,5,6}:{(45,1),(46,1),(81,1)}
        64:{3,4,7}:{(45,1),(47,1),(81,1)}
        65:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(49,1),(53,1),(73,1),(77,1),(81,1),(82,1),(83,1),(94,1),(96,1)}
        66:{1,4,6,7}:{(48,1),(50,1),(54,1),(78,1)}
        67:{2,4,6,7}:{(49,1),(50,1),(74,1),(79,1)}
        68:{2,4,5,6}:{(51,1),(80,1),(83,1)}
        69:{2,3,5,7}:{(51,1),(52,1),(53,1),(81,1),(83,1),(84,1)}
        70:{1,2,6,7}:{(53,1),(54,1),(84,1)}
        71:{1,3,5,6}:{(55,1),(56,1),(63,1),(85,1),(86,1)}
        72:{1,3,4,7}:{(55,1),(57,1),(64,1),(86,1)}
        73:{1,2,5,7}:{(56,1),(57,1),(58,1),(86,1),(87,1)}
        74:{2,3,6,7}:{(58,1),(67,1),(87,1),(92,1)}
        75:{3,5,6}:{(59,1),(60,1),(88,1),(89,1)}
        76:{3,4,6,7}:{(59,1),(61,1),(64,1),(89,1),(92,1),(101,1)}
        77:{1,2,5,7}:{(60,1),(61,1),(89,1)}
        78:{1,5,6,7}:{(62,1),(66,1)}
        79:{2,5,6,7}:{(62,1),(67,1)}
        80:{3,4,5,6}:{(63,1),(68,1),(85,1),(88,1),(91,1)}
        81:{3,5,7}:{(63,1),(64,1),(65,1),(92,1)}
        82:{1,2,4,6,7}:{(65,1),(66,1),(67,1),(70,1),(87,1),(90,1),(92,1),(93,1),(100,1),(101,1)}
        83:{2,4,5,7}:{(68,1),(69,1),(91,1),(93,1)}
        84:{2,3,6,7}:{(69,1),(70,1),(92,1),(93,1)}
        85:{1,4,5,6}:{(71,1),(80,1),(94,1)}
        86:{1,3,5,7}:{(71,1),(72,1),(73,1),(81,1),(94,1),(95,1)}
        87:{1,2,6,7}:{(73,1),(74,1),(95,1)}
        88:{4,5,6}:{(75,1),(96,1)}
        89:{3,5,7}:{(75,1),(76,1),(77,1),(96,1)}
        90:{1,2,5,6,7}:{(77,1),(78,1),(79,1),(82,1),(97,1),(99,1),(103,1)}
        91:{3,4,5,7}:{(80,1),(81,1),(83,1),(94,1),(96,1),(98,1)}
        92:{3,6,7}:{(81,1),(82,1)}
        93:{2,4,6,7}:{(83,1),(84,1),(98,1),(99,1)}
        94:{1,4,5,7}:{(85,1),(86,1),(91,1),(100,1)}
        95:{1,3,6,7}:{(86,1),(87,1),(92,1),(100,1)}
        96:{4,5,7}:{(88,1),(89,1),(101,1)}
        97:{3,5,6,7}:{(89,1),(90,1),(92,1),(101,1)}
        98:{3,4,6,7}:{(91,1),(92,1),(93,1),(100,1),(101,1),(102,1)}
        99:{2,5,6,7}:{(93,1),(102,1)}
       100:{1,4,6,7}:{(94,1),(95,1),(98,1),(103,1)}
       101:{4,6,7}:{(96,1),(97,1)}
       102:{3,5,6,7}:{(98,1),(99,1),(103,1),(104,1)}
       103:{1,5,6,7}:{(100,1),(102,1)}
       104:{4,5,6,7}:{(101,1),(102,1)}

2123 :   0:{2,3,4,5,6}:{(2,1),(3,1),(38,1),(63,1),(92,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(22,1),(97,1)}
         2:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(47,1),(50,1),(79,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(26,1),(78,1),(80,1)}
         4:{1,4,5,6,7}:{(1,1),(10,1),(101,1)}
         5:{2,4,5,6,7}:{(1,1),(11,1),(91,1)}
         6:{2,3,4,6,7}:{(2,1),(11,1),(13,1),(33,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(13,1),(14,1),(36,1),(62,1),(65,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(16,1)}
         9:{1,3,4,5,6}:{(17,1),(18,1),(63,1),(71,1),(102,1)}
        10:{1,3,5,6,7}:{(4,1),(19,1),(20,1),(22,1),(95,1)}
        11:{2,3,5,6,7}:{(5,1),(6,1),(21,1),(22,1),(79,1)}
        12:{1,2,4,5,6,7}:{(4,1),(5,1),(20,1),(21,1),(22,1),(45,1),(46,1),(76,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(21,1),(23,1),(46,1)}
        14:{1,3,5,7}:{(7,1),(8,1),(23,1),(25,1)}
        15:{1,2,3,5,6}:{(8,1),(24,1),(26,1),(53,1),(80,1),(81,1)}
        16:{1,3,4,6}:{(8,1),(25,1),(26,1),(27,1)}
        17:{1,3,4,5,7}:{(9,1),(19,1),(28,1),(47,1),(82,1),(95,1)}
        18:{1,2,4,5,6}:{(9,1),(28,1),(29,1),(56,1),(77,1),(96,1)}
        19:{1,3,4,6,7}:{(10,1),(17,1),(30,1),(33,1)}
        20:{1,2,5,6,7}:{(10,1),(30,1),(31,1),(87,1)}
        21:{1,2,5,6,7}:{(11,1),(13,1),(32,1),(65,1)}
        22:{3,5,6,7}:{(12,1),(33,1),(89,1)}
        23:{1,3,6,7}:{(13,1),(14,1)}
        24:{1,2,3,5,7}:{(14,1),(15,1),(34,1),(36,1),(65,1),(67,1)}
        25:{1,3,4,7}:{(14,1),(16,1),(36,1)}
        26:{1,2,4,6}:{(15,1),(16,1),(36,1),(38,1),(39,1)}
        27:{1,3,4,5}:{(16,1),(39,1)}
        28:{1,2,4,5,7}:{(17,1),(18,1),(30,1),(40,1),(61,1),(69,1),(87,1)}
        29:{2,3,5,6}:{(18,1),(40,1),(42,1)}
        30:{1,2,4,6,7}:{(19,1),(20,1),(28,1),(43,1),(45,1)}
        31:{2,3,5,6,7}:{(20,1),(22,1),(43,1),(45,1),(74,1)}
        32:{1,3,5,6,7}:{(21,1),(22,1),(23,1),(46,1),(49,1)}
        33:{3,4,6,7}:{(22,1),(45,1),(46,1),(47,1)}
        34:{1,2,3,6,7}:{(23,1),(24,1),(48,1),(81,1)}
        35:{1,3,4,6,7}:{(23,1),(25,1),(46,1),(48,1),(49,1),(52,1),(75,1)}
        36:{1,2,4,7}:{(24,1),(25,1),(26,1),(50,1)}
        37:{1,3,4,5,7}:{(25,1),(27,1),(49,1),(51,1),(52,1),(97,1)}
        38:{2,3,4,6}:{(26,1),(50,1),(53,1),(81,1)}
        39:{1,2,4,5}:{(26,1),(27,1),(53,1)}
        40:{2,3,5,7}:{(28,1),(29,1),(43,1),(55,1)}
        41:{1,2,3,5,6}:{(29,1),(54,1),(56,1),(85,1),(96,1),(100,1)}
        42:{2,3,4,6}:{(29,1),(55,1),(56,1),(57,1)}
        43:{2,3,6,7}:{(30,1),(40,1)}
        44:{1,2,3,5,6,7}:{(31,1),(32,1),(34,1),(58,1),(60,1),(65,1),(87,1),(89,1),(92,1),(102,1)}
        45:{2,4,6,7}:{(31,1),(33,1),(61,1)}
        46:{1,4,6,7}:{(32,1),(33,1),(62,1)}
        47:{3,4,5,7}:{(33,1),(61,1),(62,1),(63,1),(89,1)}
        48:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(64,1),(65,1),(68,1)}
        49:{1,3,5,7}:{(35,1),(62,1),(65,1),(66,1),(89,1)}
        50:{2,3,4,7}:{(36,1),(38,1),(67,1)}
        51:{1,2,4,5,7}:{(36,1),(37,1),(39,1),(65,1),(67,1),(68,1),(91,1)}
        52:{1,3,4,6}:{(37,1),(66,1),(68,1),(103,1)}
        53:{2,3,5}:{(38,1),(39,1)}
        54:{1,2,3,5,7}:{(40,1),(41,1),(58,1),(69,1),(87,1),(93,1)}
        55:{2,3,4,7}:{(40,1),(42,1),(69,1)}
        56:{1,2,4,6}:{(41,1),(42,1),(69,1),(71,1),(72,1)}
        57:{2,3,4,5}:{(42,1),(72,1)}
        58:{1,2,3,6,7}:{(43,1),(54,1),(73,1),(100,1)}
        59:{2,3,4,6,7}:{(43,1),(45,1),(55,1),(73,1),(74,1),(75,1),(84,1)}
        60:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(75,1),(76,1),(99,1),(104,1)}
        61:{2,4,5,7}:{(45,1),(47,1),(74,1),(77,1)}
        62:{1,4,5,7}:{(46,1),(47,1),(49,1),(78,1)}
        63:{3,4,5,6}:{(47,1),(77,1),(78,1),(98,1)}
        64:{2,3,4,6,7}:{(48,1),(50,1),(75,1),(79,1),(81,1),(99,1)}
        65:{1,2,5,7}:{(48,1),(49,1),(79,1),(80,1)}
        66:{1,3,5,6}:{(49,1),(52,1),(78,1),(80,1),(98,1)}
        67:{2,3,5,7}:{(50,1),(51,1),(53,1),(81,1)}
        68:{1,2,4,6}:{(51,1),(52,1),(80,1),(81,1),(99,1)}
        69:{1,2,4,7}:{(54,1),(55,1),(56,1),(82,1)}
        70:{2,3,4,5,7}:{(55,1),(57,1),(74,1),(83,1),(84,1),(97,1)}
        71:{1,3,4,6}:{(56,1),(82,1),(85,1),(100,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(85,1)}
        73:{1,2,4,6,7}:{(58,1),(59,1),(69,1),(86,1),(87,1),(94,1)}
        74:{2,3,5,7}:{(59,1),(61,1),(87,1),(88,1),(89,1)}
        75:{3,4,6,7}:{(60,1),(89,1),(103,1)}
        76:{1,2,4,5,7}:{(60,1),(61,1),(62,1),(65,1),(87,1),(89,1),(90,1),(91,1),(101,1)}
        77:{2,4,5,6}:{(61,1),(63,1),(88,1)}
        78:{1,4,5,6}:{(62,1),(63,1),(66,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(89,1),(91,1),(92,1)}
        80:{1,2,5,6}:{(65,1),(66,1),(68,1),(92,1)}
        81:{2,3,6}:{(67,1),(68,1)}
        82:{1,3,4,7}:{(69,1),(71,1),(93,1)}
        83:{1,2,4,5,7}:{(69,1),(70,1),(72,1),(87,1),(93,1),(94,1),(101,1)}
        84:{2,3,4,6}:{(70,1),(88,1),(94,1),(103,1)}
        85:{1,3,5}:{(71,1),(72,1)}
        86:{1,3,4,6,7}:{(73,1),(75,1),(82,1),(95,1),(100,1),(104,1)}
        87:{1,2,5,7}:{(73,1),(74,1),(95,1),(96,1)}
        88:{2,3,5,6}:{(74,1),(77,1),(84,1),(96,1),(98,1)}
        89:{3,5,7}:{(75,1),(76,1),(98,1)}
        90:{1,2,4,5,6}:{(76,1),(77,1),(78,1),(80,1),(96,1),(98,1),(99,1),(104,1)}
        91:{2,4,5,7}:{(79,1),(97,1),(99,1)}
        92:{2,3,5,6}:{(79,1),(80,1),(81,1),(98,1),(99,1)}
        93:{1,3,5,7}:{(82,1),(83,1),(85,1),(100,1)}
        94:{1,2,4,6}:{(83,1),(84,1),(96,1),(100,1),(104,1)}
        95:{1,3,5,7}:{(86,1),(87,1),(89,1),(101,1),(102,1)}
        96:{1,2,5,6}:{(87,1),(88,1),(94,1),(102,1)}
        97:{3,4,5,7}:{(89,1),(91,1),(101,1),(103,1)}
        98:{3,5,6}:{(89,1),(90,1),(103,1)}
        99:{2,4,6}:{(91,1),(92,1),(103,1)}
       100:{1,3,6}:{(93,1),(94,1)}
       101:{1,4,5,7}:{(95,1),(97,1),(104,1)}
       102:{1,3,5,6}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{3,4,6}:{(97,1),(98,1),(99,1),(104,1)}
       104:{1,4,6}:{(101,1),(102,1),(103,1)}

2124 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(66,1),(75,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(29,1),(54,1),(62,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(60,1),(63,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(50,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(47,1),(51,1)}
         5:{1,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(30,1),(55,1),(60,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(37,1),(78,1)}
         8:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(37,1),(54,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(38,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{1,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(43,1),(47,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(24,1),(89,1)}
        15:{2,4,5,6,7}:{(7,1),(8,1),(65,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(47,1)}
        17:{1,3,6,7}:{(9,1),(10,1)}
        18:{1,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{1,3,4,5}:{(11,1),(23,1)}
        20:{2,3,4,6}:{(13,1),(29,1),(30,1),(55,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(34,1),(55,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(29,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(30,1)}
        24:{1,3,5,6,7}:{(14,1),(32,1),(36,1),(37,1),(84,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(36,1),(37,1),(38,1),(59,1),(61,1)}
        26:{1,3,5,6,7}:{(16,1),(17,1),(37,1),(38,1),(39,1)}
        27:{1,3,4,6,7}:{(17,1),(18,1),(34,1),(38,1),(39,1),(40,1),(58,1)}
        28:{1,3,4,5,7}:{(18,1),(19,1),(35,1),(39,1),(40,1),(78,1)}
        29:{2,3,4,7}:{(20,1),(22,1),(43,1)}
        30:{2,3,5}:{(20,1),(23,1)}
        31:{1,3,4,5,6}:{(41,1),(44,1),(75,1),(91,1),(95,1)}
        32:{1,3,4,6,7}:{(24,1),(41,1),(45,1),(50,1)}
        33:{1,2,3,5,6,7}:{(21,1),(26,1),(46,1),(47,1),(49,1),(66,1),(69,1),(72,1),(93,1),(95,1)}
        34:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(42,1),(47,1),(48,1)}
        35:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(43,1),(47,1),(48,1),(65,1)}
        36:{1,2,5,6,7}:{(24,1),(45,1),(49,1),(93,1)}
        37:{3,5,6,7}:{(25,1),(50,1),(72,1)}
        38:{1,4,6,7}:{(26,1),(50,1),(51,1)}
        39:{1,3,5,7}:{(27,1),(47,1),(51,1),(52,1),(72,1)}
        40:{1,3,4,6}:{(28,1),(48,1),(52,1),(90,1)}
        41:{1,3,4,5,7}:{(31,1),(32,1),(53,1),(62,1),(84,1),(96,1)}
        42:{2,3,4,6,7}:{(29,1),(34,1),(54,1),(55,1),(58,1),(79,1)}
        43:{2,3,5,7}:{(29,1),(30,1),(35,1),(55,1)}
        44:{1,2,4,5,6}:{(31,1),(53,1),(56,1),(80,1),(86,1),(101,1)}
        45:{1,2,4,6,7}:{(32,1),(36,1),(53,1),(57,1),(61,1)}
        46:{1,2,4,6,7}:{(33,1),(38,1),(58,1),(59,1),(61,1),(79,1),(99,1)}
        47:{1,2,5,7}:{(34,1),(39,1),(54,1),(60,1)}
        48:{1,2,4,6}:{(35,1),(40,1),(55,1),(60,1),(79,1)}
        49:{2,3,5,6,7}:{(36,1),(37,1),(57,1),(61,1),(83,1)}
        50:{3,4,6,7}:{(37,1),(38,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(62,1),(63,1)}
        52:{1,3,5,6}:{(39,1),(40,1),(60,1),(63,1),(85,1)}
        53:{1,2,4,5,7}:{(41,1),(44,1),(45,1),(64,1),(74,1),(87,1),(93,1)}
        54:{2,3,5,7}:{(42,1),(47,1),(65,1),(66,1),(72,1)}
        55:{2,3,6}:{(43,1),(48,1)}
        56:{2,3,5,6}:{(44,1),(64,1),(68,1)}
        57:{2,3,6,7}:{(45,1),(64,1)}
        58:{3,4,6,7}:{(46,1),(72,1),(90,1)}
        59:{1,2,4,5,7}:{(46,1),(47,1),(51,1),(65,1),(72,1),(73,1),(74,1),(89,1),(93,1)}
        60:{1,2,5,6}:{(47,1),(48,1),(52,1),(66,1)}
        61:{2,4,6,7}:{(49,1),(50,1),(74,1)}
        62:{3,4,5,7}:{(50,1),(51,1),(72,1),(74,1),(75,1)}
        63:{1,4,5,6}:{(51,1),(52,1),(75,1)}
        64:{2,3,5,7}:{(53,1),(56,1),(57,1),(77,1)}
        65:{2,4,5,7}:{(54,1),(78,1),(79,1)}
        66:{2,3,5,6}:{(54,1),(55,1),(60,1),(79,1),(85,1)}
        67:{1,2,3,5,6}:{(56,1),(76,1),(80,1),(100,1),(101,1),(104,1)}
        68:{2,3,4,6}:{(56,1),(77,1),(80,1),(81,1)}
        69:{1,2,3,6,7}:{(57,1),(76,1),(82,1),(104,1)}
        70:{2,3,4,6,7}:{(57,1),(58,1),(61,1),(77,1),(82,1),(83,1),(98,1)}
        71:{1,3,4,6,7}:{(58,1),(82,1),(84,1),(96,1),(99,1),(104,1)}
        72:{3,5,7}:{(58,1),(59,1),(85,1)}
        73:{1,2,4,5,6}:{(59,1),(60,1),(63,1),(79,1),(85,1),(86,1),(99,1),(101,1)}
        74:{2,4,5,7}:{(61,1),(62,1),(83,1),(86,1)}
        75:{3,4,5,6}:{(62,1),(63,1),(85,1),(86,1)}
        76:{1,2,3,5,7}:{(64,1),(67,1),(69,1),(87,1),(93,1),(102,1)}
        77:{2,3,4,7}:{(64,1),(68,1),(87,1)}
        78:{3,4,5,7}:{(65,1),(72,1),(89,1),(90,1)}
        79:{2,4,6}:{(65,1),(66,1),(90,1)}
        80:{1,2,4,6}:{(67,1),(68,1),(87,1),(91,1),(92,1)}
        81:{2,3,4,5}:{(68,1),(92,1)}
        82:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(87,1),(93,1),(103,1)}
        83:{2,3,5,7}:{(70,1),(72,1),(74,1),(93,1),(94,1)}
        84:{1,3,5,7}:{(71,1),(72,1),(89,1),(93,1),(95,1)}
        85:{3,5,6}:{(72,1),(73,1),(90,1)}
        86:{2,4,5,6}:{(74,1),(75,1),(94,1)}
        87:{1,2,4,7}:{(76,1),(77,1),(80,1),(96,1)}
        88:{2,3,4,5,7}:{(77,1),(78,1),(81,1),(83,1),(97,1),(98,1)}
        89:{1,4,5,7}:{(78,1),(84,1),(99,1)}
        90:{3,4,6}:{(78,1),(79,1),(85,1),(99,1)}
        91:{1,3,4,6}:{(80,1),(96,1),(100,1),(104,1)}
        92:{1,2,4,5}:{(80,1),(81,1),(100,1)}
        93:{1,2,5,7}:{(82,1),(83,1),(84,1),(101,1)}
        94:{2,3,5,6}:{(83,1),(85,1),(86,1),(98,1),(101,1)}
        95:{1,3,5,6}:{(84,1),(85,1),(99,1),(101,1),(104,1)}
        96:{1,3,4,7}:{(87,1),(91,1),(102,1)}
        97:{1,2,4,5,7}:{(87,1),(88,1),(89,1),(92,1),(93,1),(102,1),(103,1)}
        98:{2,3,4,6}:{(88,1),(90,1),(94,1),(103,1)}
        99:{1,4,6}:{(89,1),(90,1),(95,1)}
       100:{1,3,5}:{(91,1),(92,1)}
       101:{1,2,5,6}:{(93,1),(94,1),(95,1),(103,1)}
       102:{1,3,5,7}:{(96,1),(97,1),(100,1),(104,1)}
       103:{1,2,4,6}:{(97,1),(98,1),(99,1),(101,1),(104,1)}
       104:{1,3,6}:{(102,1),(103,1)}

2125 :   0:{2,3,4,5,6}:{(2,1),(3,1),(31,1),(62,1),(72,1)}
         1:{1,2,3,4,6}:{(4,1),(5,1),(20,1),(23,1)}
         2:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(20,1),(50,1),(56,1)}
         3:{2,3,4,5,7}:{(0,1),(8,1),(9,1),(46,1),(77,1),(87,1)}
         4:{1,2,3,5}:{(1,1),(10,1)}
         5:{1,2,3,4,7}:{(1,1),(12,1),(34,1)}
         6:{1,3,4,5}:{(10,1),(14,1)}
         7:{1,3,5,6}:{(2,1),(14,1),(16,1)}
         8:{1,2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(34,1),(64,1),(71,1)}
         9:{2,3,4,6,7}:{(3,1),(17,1),(18,1),(73,1)}
        10:{1,2,4,5}:{(4,1),(6,1),(19,1),(20,1)}
        11:{1,2,3,5,6}:{(4,1),(7,1),(20,1),(22,1),(23,1),(45,1),(50,1)}
        12:{1,2,3,5,7}:{(4,1),(5,1),(21,1),(23,1)}
        13:{1,2,3,4,6,7}:{(5,1),(23,1),(24,1),(49,1),(52,1),(82,1),(117,1),(118,1),(119,1)}
        14:{1,3,4,6}:{(6,1),(7,1),(20,1),(26,1)}
        15:{1,3,4,5,7}:{(6,1),(21,1),(26,1),(27,1),(53,1),(55,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(26,1),(28,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(28,1),(29,1),(57,1)}
        18:{2,3,5,6,7}:{(9,1),(29,1),(30,1),(58,1),(77,1)}
        19:{2,3,4,5}:{(10,1),(31,1)}
        20:{1,2,4,6}:{(10,1),(11,1),(14,1),(31,1),(34,1)}
        21:{1,2,4,5,7}:{(10,1),(12,1),(15,1),(32,1),(34,1),(35,1),(64,1)}
        22:{1,2,3,5,7}:{(11,1),(16,1),(34,1),(36,1),(60,1),(64,1)}
        23:{1,2,3,6}:{(12,1),(35,1)}
        24:{1,2,3,5,7}:{(13,1),(37,1),(38,1),(64,1),(97,1),(130,1)}
        25:{1,3,4,5,6}:{(14,1),(33,1),(39,1),(41,1),(95,1)}
        26:{1,3,4,7}:{(14,1),(16,1),(34,1)}
        27:{1,3,4,6}:{(15,1),(35,1),(41,1),(67,1)}
        28:{1,3,6,7}:{(16,1),(17,1)}
        29:{1,2,5,6,7}:{(17,1),(18,1),(42,1),(64,1)}
        30:{2,4,5,6,7}:{(18,1),(44,1),(94,1)}
        31:{2,3,4,6}:{(19,1),(20,1),(45,1),(46,1)}
        32:{2,3,4,5,7}:{(19,1),(21,1),(46,1),(47,1),(53,1),(77,1)}
        33:{1,2,4,5,6}:{(20,1),(25,1),(45,1),(48,1),(50,1),(78,1)}
        34:{1,2,4,7}:{(20,1),(22,1),(26,1),(46,1)}
        35:{1,2,4,6}:{(21,1),(23,1),(27,1),(47,1),(50,1)}
        36:{1,2,3,6,7}:{(22,1),(23,1),(28,1),(49,1),(76,1)}
        37:{1,2,3,5,6}:{(23,1),(24,1),(50,1),(52,1),(81,1),(116,1),(118,1)}
        38:{1,2,4,5,7}:{(24,1),(52,1),(53,1)}
        39:{1,3,4,5,7}:{(25,1),(26,1),(48,1),(54,1),(55,1),(110,1)}
        40:{1,3,4,6,7}:{(26,1),(27,1),(28,1),(49,1),(55,1),(57,1),(82,1)}
        41:{1,3,5,6}:{(27,1),(50,1),(55,1),(56,1),(81,1)}
        42:{1,3,5,6,7}:{(28,1),(29,1),(55,1),(57,1),(58,1)}
        43:{1,2,4,5,6,7}:{(29,1),(30,1),(57,1),(58,1),(59,1),(80,1),(91,1),(92,1)}
        44:{3,4,5,6,7}:{(30,1),(58,1),(59,1),(110,1)}
        45:{2,3,5,6}:{(31,1),(33,1),(60,1)}
        46:{2,3,4,7}:{(31,1),(34,1),(60,1)}
        47:{2,3,4,6}:{(32,1),(35,1),(62,1),(67,1)}
        48:{1,2,4,5,7}:{(33,1),(34,1),(39,1),(60,1),(63,1),(64,1),(94,1)}
        49:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(40,1),(61,1),(64,1)}
        50:{1,2,5,6}:{(35,1),(41,1),(62,1),(64,1)}
        51:{1,2,3,5,6,7}:{(36,1),(37,1),(42,1),(64,1),(66,1),(75,1),(93,1),(97,1),(128,1),(130,1),(132,1)}
        52:{1,2,4,6}:{(37,1),(38,1),(67,1)}
        53:{3,4,5,7}:{(38,1),(67,1),(97,1)}
        54:{1,3,4,6,7}:{(39,1),(63,1),(70,1),(124,1)}
        55:{1,3,5,7}:{(40,1),(41,1),(64,1),(71,1),(97,1)}
        56:{1,4,5,6}:{(41,1),(71,1),(72,1)}
        57:{1,4,6,7}:{(42,1),(71,1),(73,1)}
        58:{3,5,6,7}:{(43,1),(73,1),(97,1)}
        59:{1,4,5,6,7}:{(44,1),(74,1),(125,1)}
        60:{2,3,5,7}:{(45,1),(46,1),(48,1),(76,1)}
        61:{2,3,4,6,7}:{(46,1),(47,1),(49,1),(76,1),(77,1),(82,1),(109,1)}
        62:{2,3,5,6}:{(47,1),(50,1),(77,1),(78,1),(81,1)}
        63:{1,2,4,6,7}:{(48,1),(54,1),(76,1),(79,1),(109,1)}
        64:{1,2,5,7}:{(49,1),(50,1),(55,1),(77,1)}
        65:{1,2,4,5,6}:{(50,1),(52,1),(56,1),(78,1),(80,1),(81,1),(89,1),(111,1),(116,1)}
        66:{1,2,4,6,7}:{(51,1),(52,1),(57,1),(80,1),(82,1),(91,1),(109,1),(136,1)}
        67:{3,4,6}:{(52,1),(53,1),(81,1)}
        68:{1,3,4,5,7}:{(53,1),(83,1),(85,1),(114,1),(152,1),(153,1)}
        69:{2,3,4,5,7}:{(53,1),(84,1),(85,1),(115,1),(144,1),(145,1)}
        70:{1,3,5,6,7}:{(54,1),(55,1),(79,1),(86,1),(113,1)}
        71:{1,4,5,7}:{(55,1),(56,1),(57,1),(87,1)}
        72:{3,4,5,6}:{(56,1),(81,1),(87,1),(89,1)}
        73:{3,4,6,7}:{(57,1),(58,1),(87,1),(91,1)}
        74:{1,3,5,6,7}:{(58,1),(59,1),(90,1),(92,1),(114,1)}
        75:{2,3,5,6,7}:{(58,1),(91,1),(92,1),(115,1),(123,1)}
        76:{2,3,6,7}:{(60,1),(63,1)}
        77:{2,3,5,7}:{(61,1),(62,1),(64,1),(94,1),(97,1)}
        78:{2,4,5,6}:{(62,1),(94,1),(95,1)}
        79:{1,2,5,6,7}:{(63,1),(64,1),(70,1),(93,1)}
        80:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(71,1),(94,1),(97,1),(106,1),(125,1),(130,1)}
        81:{3,5,6}:{(65,1),(67,1),(97,1)}
        82:{3,4,6,7}:{(66,1),(67,1),(97,1)}
        83:{1,3,4,6}:{(67,1),(68,1),(98,1),(102,1)}
        84:{2,3,4,6}:{(67,1),(69,1),(99,1),(102,1)}
        85:{1,2,4,5,7}:{(68,1),(69,1),(102,1),(103,1),(130,1),(149,1),(150,1)}
        86:{1,4,5,6,7}:{(70,1),(71,1),(104,1)}
        87:{3,4,5,7}:{(71,1),(72,1),(73,1),(97,1),(106,1)}
        88:{1,3,4,5,6}:{(72,1),(98,1),(105,1),(107,1),(148,1)}
        89:{2,4,5,6}:{(72,1),(99,1),(106,1)}
        90:{1,3,4,6,7}:{(73,1),(74,1),(105,1),(108,1)}
        91:{2,4,6,7}:{(73,1),(75,1),(106,1)}
        92:{1,2,5,6,7}:{(74,1),(75,1),(108,1),(130,1)}
        93:{2,3,5,6,7}:{(76,1),(77,1),(79,1),(109,1),(113,1)}
        94:{2,4,5,7}:{(77,1),(78,1),(109,1),(110,1)}
        95:{3,4,5,6}:{(78,1),(81,1),(110,1),(111,1)}
        96:{1,2,4,5,6,7}:{(79,1),(80,1),(86,1),(109,1),(113,1),(120,1),(136,1),(140,1)}
        97:{3,5,7}:{(80,1),(81,1),(82,1)}
        98:{1,3,5,6}:{(81,1),(83,1),(111,1),(114,1),(116,1)}
        99:{2,3,5,6}:{(81,1),(84,1),(89,1),(115,1),(116,1)}
       100:{1,3,4,6,7}:{(82,1),(83,1),(114,1),(117,1),(136,1),(151,1),(152,1)}
       101:{2,3,4,6,7}:{(82,1),(84,1),(91,1),(115,1),(117,1),(123,1),(144,1)}
       102:{1,2,4,6}:{(83,1),(84,1),(85,1),(116,1),(118,1)}
       103:{1,2,3,5,7}:{(85,1),(118,1),(119,1),(143,1)}
       104:{3,4,5,6,7}:{(86,1),(87,1),(113,1),(120,1)}
       105:{1,3,4,5,7}:{(87,1),(88,1),(90,1),(114,1),(121,1),(152,1)}
       106:{2,4,5,7}:{(87,1),(89,1),(91,1),(115,1)}
       107:{1,2,4,5,6}:{(88,1),(89,1),(116,1),(121,1),(122,1),(142,1)}
       108:{1,2,4,6,7}:{(90,1),(91,1),(92,1),(121,1),(123,1)}
       109:{2,4,6,7}:{(93,1),(94,1),(124,1)}
       110:{3,4,5,7}:{(94,1),(95,1),(97,1),(124,1),(125,1)}
       111:{1,4,5,6}:{(95,1),(98,1),(125,1)}
       112:{2,3,4,5,6}:{(95,1),(99,1),(126,1),(127,1),(135,1)}
       113:{3,5,6,7}:{(96,1),(97,1),(124,1)}
       114:{1,3,5,7}:{(97,1),(98,1),(100,1),(125,1),(130,1)}
       115:{2,3,5,7}:{(97,1),(99,1),(101,1),(106,1),(130,1)}
       116:{1,2,5,6}:{(98,1),(99,1),(102,1),(130,1)}
       117:{1,2,4,6,7}:{(100,1),(101,1),(102,1),(130,1),(132,1),(149,1)}
       118:{1,2,3,6}:{(102,1),(103,1)}
       119:{1,2,3,4,7}:{(103,1),(133,1),(149,1)}
       120:{2,4,5,6,7}:{(104,1),(106,1),(129,1)}
       121:{1,2,4,5,7}:{(105,1),(106,1),(107,1),(108,1),(130,1),(134,1),(149,1)}
       122:{2,3,5,6}:{(107,1),(134,1),(135,1)}
       123:{2,3,6,7}:{(108,1),(134,1)}
       124:{3,4,6,7}:{(109,1),(110,1),(113,1),(136,1)}
       125:{1,4,5,7}:{(110,1),(111,1),(114,1),(136,1)}
       126:{2,3,4,5,7}:{(110,1),(112,1),(115,1),(137,1),(138,1),(144,1)}
       127:{1,2,4,5,6}:{(111,1),(112,1),(116,1),(138,1),(139,1),(142,1)}
       128:{1,3,5,6,7}:{(113,1),(114,1),(136,1),(140,1),(151,1)}
       129:{2,3,5,6,7}:{(113,1),(115,1),(120,1),(137,1),(140,1)}
       130:{1,2,5,7}:{(114,1),(115,1),(116,1),(117,1)}
       131:{1,2,3,5,6}:{(116,1),(118,1),(122,1),(139,1),(141,1),(142,1),(143,1)}
       132:{1,2,3,6,7}:{(117,1),(118,1),(123,1),(141,1),(151,1)}
       133:{1,2,3,4,6}:{(118,1),(119,1),(142,1),(143,1)}
       134:{2,3,5,7}:{(121,1),(122,1),(123,1),(144,1)}
       135:{2,3,4,6}:{(122,1),(142,1),(144,1),(145,1)}
       136:{1,4,6,7}:{(124,1),(125,1),(128,1)}
       137:{2,3,4,6,7}:{(124,1),(126,1),(129,1),(146,1)}
       138:{1,2,4,5,7}:{(125,1),(126,1),(127,1),(130,1),(146,1),(147,1),(149,1)}
       139:{1,3,5,6}:{(127,1),(147,1),(148,1)}
       140:{1,2,5,6,7}:{(128,1),(129,1),(130,1),(146,1)}
       141:{1,2,3,5,7}:{(130,1),(131,1),(132,1),(134,1),(147,1),(149,1)}
       142:{1,2,4,6}:{(131,1),(135,1),(148,1),(149,1),(150,1)}
       143:{1,2,3,5}:{(133,1),(150,1)}
       144:{2,3,4,7}:{(134,1),(135,1),(149,1)}
       145:{2,3,4,5}:{(135,1),(150,1)}
       146:{1,2,4,6,7}:{(136,1),(137,1),(138,1),(140,1),(151,1)}
       147:{1,3,5,7}:{(138,1),(139,1),(151,1),(152,1)}
       148:{1,3,4,6}:{(139,1),(142,1),(152,1),(153,1)}
       149:{1,2,4,7}:{(141,1),(142,1),(144,1),(152,1)}
       150:{1,2,4,5}:{(142,1),(143,1),(145,1),(153,1)}
       151:{1,3,6,7}:{(146,1),(147,1)}
       152:{1,3,4,7}:{(147,1),(148,1),(149,1)}
       153:{1,3,4,5}:{(148,1),(150,1)}

2126 :   0:{1,2,3,5,6,7}:{(2,1),(14,1),(20,1),(48,1),(56,1),(57,1),(58,1),(59,1),(66,1),(68,1),(103,1),(105,1),(114,1),(118,1),(144,1)}
         1:{1,2,4,5,6,7}:{(3,1),(13,1),(18,1),(19,1),(20,1),(65,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(83,1),(84,1),(96,1),(129,1),(137,1),(140,1),(159,1)}
         3:{3,5,6,7}:{(1,1),(7,1),(31,1),(94,1)}
         4:{1,2,4,5,6,7}:{(12,1),(13,1),(46,1),(47,1),(48,1),(102,1)}
         5:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(54,1),(55,1),(58,1),(155,1)}
         6:{3,4,6,7}:{(2,1),(14,1),(53,1),(66,1),(103,1),(120,1),(146,1),(154,1)}
         7:{3,4,6,7}:{(3,1),(17,1),(18,1),(19,1),(53,1),(66,1),(120,1)}
         8:{1,3,5,6,7}:{(3,1),(18,1),(20,1),(56,1),(61,1),(66,1),(68,1)}
         9:{2,3,5,6,7}:{(3,1),(19,1),(20,1),(21,1),(57,1),(66,1),(118,1)}
        10:{2,3,4,6,7}:{(19,1),(21,1),(22,1),(23,1),(66,1),(120,1)}
        11:{2,3,4,5,7}:{(21,1),(23,1),(24,1),(55,1),(107,1),(113,1),(120,1),(148,1),(157,1)}
        12:{3,5,6,7}:{(4,1),(25,1),(31,1),(127,1)}
        13:{1,2,4,5,6}:{(5,1),(31,1),(83,1),(84,1),(86,1)}
        14:{3,5,7}:{(5,1),(6,1),(31,1),(166,1)}
        15:{1,3,4,6,7}:{(6,1),(32,1),(34,1),(42,1),(83,1),(96,1),(97,1),(125,1),(135,1),(136,1),(159,1),(164,1)}
        16:{2,3,4,6,7}:{(6,1),(33,1),(34,1),(78,1),(84,1),(92,1),(129,1),(130,1),(135,1),(136,1),(140,1),(165,1)}
        17:{3,4,5,7}:{(7,1),(36,1),(37,1),(38,1),(94,1)}
        18:{1,4,6,7}:{(7,1),(8,1),(37,1),(83,1),(96,1)}
        19:{2,4,6,7}:{(7,1),(9,1),(38,1),(84,1),(140,1)}
        20:{1,2,5,6,7}:{(8,1),(9,1),(39,1),(41,1),(86,1),(91,1)}
        21:{2,3,5,7}:{(10,1),(38,1),(40,1),(41,1),(94,1)}
        22:{1,2,4,6,7}:{(10,1),(41,1),(42,1),(43,1),(96,1)}
        23:{2,3,4,6}:{(11,1),(40,1),(43,1),(84,1),(135,1),(141,1)}
        24:{1,2,4,5,7}:{(11,1),(41,1),(43,1),(44,1),(89,1),(96,1),(138,1),(142,1)}
        25:{3,4,6,7}:{(12,1),(45,1),(46,1),(47,1),(53,1),(103,1),(146,1)}
        26:{1,3,5,6,7}:{(12,1),(46,1),(48,1),(49,1),(56,1),(103,1),(144,1)}
        27:{2,3,5,6,7}:{(12,1),(47,1),(48,1),(57,1),(98,1),(103,1),(105,1)}
        28:{1,3,4,6,7}:{(46,1),(49,1),(50,1),(51,1),(103,1),(146,1)}
        29:{1,3,4,5,7}:{(49,1),(51,1),(52,1),(54,1),(70,1),(113,1),(122,1),(146,1),(169,1)}
        30:{3,4,5,7}:{(14,1),(53,1),(54,1),(55,1),(113,1),(120,1),(146,1),(157,1),(169,1)}
        31:{3,5,6}:{(13,1),(14,1),(53,1)}
        32:{1,3,5,7}:{(14,1),(15,1),(54,1),(56,1),(58,1),(113,1),(122,1),(171,1)}
        33:{2,3,5,7}:{(14,1),(16,1),(55,1),(57,1),(58,1),(113,1),(148,1),(172,1)}
        34:{1,2,4,6,7}:{(15,1),(16,1),(58,1),(59,1),(112,1),(115,1),(116,1),(170,1)}
        35:{1,3,4,6,7}:{(18,1),(61,1),(62,1),(66,1),(110,1),(120,1)}
        36:{3,4,5,6}:{(17,1),(53,1),(63,1),(64,1),(119,1),(169,1)}
        37:{1,4,5,7}:{(17,1),(18,1),(61,1),(63,1)}
        38:{2,4,5,7}:{(17,1),(19,1),(21,1),(64,1)}
        39:{1,2,4,6,7}:{(18,1),(19,1),(20,1),(65,1),(66,1),(112,1)}
        40:{2,3,5,6}:{(21,1),(23,1),(64,1),(67,1),(119,1),(148,1)}
        41:{1,2,5,7}:{(21,1),(22,1),(67,1),(68,1)}
        42:{1,3,6,7}:{(22,1),(66,1),(68,1),(69,1)}
        43:{1,2,4,6}:{(23,1),(24,1),(67,1),(69,1),(121,1)}
        44:{1,3,5,7}:{(24,1),(69,1),(70,1),(113,1),(122,1)}
        45:{3,4,5,7}:{(25,1),(72,1),(73,1),(74,1),(127,1)}
        46:{1,4,6,7}:{(25,1),(26,1),(73,1),(83,1),(159,1)}
        47:{2,4,6,7}:{(25,1),(27,1),(74,1),(84,1),(129,1)}
        48:{1,2,5,6,7}:{(26,1),(27,1),(75,1),(77,1),(86,1),(124,1)}
        49:{1,3,5,7}:{(28,1),(73,1),(76,1),(77,1),(127,1)}
        50:{1,2,4,6,7}:{(28,1),(77,1),(78,1),(79,1),(129,1)}
        51:{1,3,4,6}:{(29,1),(76,1),(79,1),(83,1),(135,1),(160,1)}
        52:{1,2,4,5,7}:{(29,1),(77,1),(79,1),(80,1),(89,1),(129,1),(138,1),(161,1)}
        53:{3,4,6}:{(30,1),(31,1),(83,1),(84,1),(135,1)}
        54:{1,4,5,7}:{(30,1),(32,1),(83,1),(96,1),(142,1),(159,1),(173,1)}
        55:{2,4,5,7}:{(30,1),(33,1),(84,1),(129,1),(140,1),(161,1),(167,1)}
        56:{1,3,5,6}:{(31,1),(32,1),(83,1),(86,1),(135,1)}
        57:{2,3,5,6}:{(31,1),(33,1),(84,1),(86,1),(135,1)}
        58:{1,2,5,7}:{(32,1),(33,1),(34,1),(86,1),(138,1),(174,1)}
        59:{1,2,3,6,7}:{(34,1),(42,1),(78,1),(87,1),(88,1),(92,1),(125,1),(135,1),(162,1)}
        60:{1,2,3,5,7}:{(44,1),(80,1),(88,1),(89,1),(138,1)}
        61:{1,3,5,7}:{(35,1),(37,1),(90,1),(91,1),(94,1)}
        62:{1,2,4,6,7}:{(35,1),(91,1),(92,1),(133,1),(140,1)}
        63:{1,4,5,6}:{(36,1),(37,1),(83,1),(90,1),(173,1)}
        64:{2,4,5,6}:{(36,1),(38,1),(40,1),(84,1),(161,1)}
        65:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(41,1),(91,1),(93,1),(94,1),(96,1),(140,1)}
        66:{3,6,7}:{(39,1),(94,1),(135,1)}
        67:{1,2,5,6}:{(40,1),(41,1),(43,1),(95,1),(138,1)}
        68:{1,3,5,7}:{(41,1),(42,1),(94,1),(95,1),(96,1)}
        69:{1,3,6}:{(43,1),(44,1),(135,1)}
        70:{1,3,4,7}:{(44,1),(89,1),(96,1),(97,1),(136,1)}
        71:{2,3,4,6,7}:{(47,1),(98,1),(99,1),(103,1),(108,1),(146,1)}
        72:{3,4,5,6}:{(45,1),(53,1),(100,1),(101,1),(145,1),(157,1)}
        73:{1,4,5,7}:{(45,1),(46,1),(49,1),(100,1)}
        74:{2,4,5,7}:{(45,1),(47,1),(98,1),(101,1)}
        75:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(102,1),(103,1),(112,1)}
        76:{1,3,5,6}:{(49,1),(51,1),(100,1),(104,1),(122,1),(145,1)}
        77:{1,2,5,7}:{(49,1),(50,1),(104,1),(105,1)}
        78:{2,3,6,7}:{(50,1),(103,1),(105,1),(106,1)}
        79:{1,2,4,6}:{(51,1),(52,1),(104,1),(106,1),(147,1)}
        80:{2,3,5,7}:{(52,1),(106,1),(107,1),(113,1),(148,1)}
        81:{2,3,4,5,7}:{(55,1),(98,1),(108,1),(109,1),(113,1),(146,1),(153,1),(169,1),(172,1)}
        82:{1,3,4,5,7}:{(54,1),(61,1),(110,1),(111,1),(113,1),(120,1),(151,1),(157,1),(171,1)}
        83:{1,4,6}:{(53,1),(54,1),(56,1)}
        84:{2,4,6}:{(53,1),(55,1),(57,1)}
        85:{1,2,4,5,7}:{(54,1),(55,1),(58,1),(112,1),(113,1),(115,1),(155,1)}
        86:{1,2,5,6}:{(56,1),(57,1),(58,1),(112,1)}
        87:{1,2,3,5,7}:{(58,1),(59,1),(68,1),(105,1),(113,1),(114,1),(115,1),(118,1),(144,1)}
        88:{1,2,3,6}:{(60,1),(69,1),(106,1),(116,1)}
        89:{1,2,4,7}:{(60,1),(70,1),(107,1),(116,1)}
        90:{1,3,5,6}:{(61,1),(63,1),(110,1),(117,1),(119,1),(171,1)}
        91:{1,2,5,7}:{(61,1),(62,1),(117,1),(118,1)}
        92:{2,3,6,7}:{(62,1),(66,1),(118,1),(152,1)}
        93:{1,2,4,5,6}:{(63,1),(64,1),(65,1),(67,1),(112,1),(117,1),(119,1),(121,1),(155,1),(156,1)}
        94:{3,5,7}:{(65,1),(66,1),(119,1),(120,1)}
        95:{1,3,5,6}:{(67,1),(68,1),(69,1),(119,1),(121,1),(122,1)}
        96:{1,4,7}:{(68,1),(120,1),(121,1)}
        97:{1,3,4,6}:{(69,1),(70,1),(116,1),(121,1),(122,1),(154,1)}
        98:{2,3,5,7}:{(71,1),(74,1),(123,1),(124,1),(127,1)}
        99:{1,2,4,6,7}:{(71,1),(124,1),(125,1),(131,1),(159,1)}
       100:{1,4,5,6}:{(72,1),(73,1),(76,1),(83,1),(142,1)}
       101:{2,4,5,6}:{(72,1),(74,1),(84,1),(123,1),(167,1)}
       102:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(77,1),(124,1),(126,1),(127,1),(129,1),(159,1)}
       103:{3,6,7}:{(75,1),(127,1),(135,1)}
       104:{1,2,5,6}:{(76,1),(77,1),(79,1),(128,1),(138,1)}
       105:{2,3,5,7}:{(77,1),(78,1),(127,1),(128,1),(129,1)}
       106:{2,3,6}:{(79,1),(80,1),(135,1)}
       107:{2,3,4,7}:{(80,1),(89,1),(129,1),(130,1),(136,1)}
       108:{2,3,4,6}:{(81,1),(84,1),(123,1),(131,1),(135,1),(160,1)}
       109:{1,2,4,5,7}:{(81,1),(124,1),(131,1),(132,1),(159,1),(163,1),(173,1),(174,1)}
       110:{1,3,4,6}:{(82,1),(83,1),(90,1),(133,1),(135,1),(141,1)}
       111:{1,2,4,5,7}:{(82,1),(91,1),(133,1),(134,1),(140,1),(163,1),(167,1),(174,1)}
       112:{1,2,4,6}:{(83,1),(84,1),(85,1),(86,1),(135,1)}
       113:{3,5,7}:{(85,1),(135,1),(136,1),(166,1)}
       114:{1,2,3,5,6}:{(86,1),(87,1),(88,1),(95,1),(128,1),(135,1),(137,1),(138,1),(139,1),(158,1),(162,1),(166,1),(174,1)}
       115:{1,2,4,7}:{(87,1),(96,1),(129,1),(136,1),(137,1),(140,1),(159,1)}
       116:{1,2,4,6}:{(88,1),(89,1),(97,1),(130,1),(138,1)}
       117:{1,2,5,6}:{(90,1),(91,1),(133,1),(139,1),(174,1)}
       118:{2,3,5,7}:{(91,1),(92,1),(94,1),(139,1),(140,1)}
       119:{3,5,6}:{(93,1),(94,1),(135,1),(141,1),(166,1)}
       120:{3,4,7}:{(94,1),(96,1),(140,1),(141,1)}
       121:{1,4,6}:{(95,1),(96,1),(141,1),(142,1)}
       122:{1,3,5}:{(97,1),(138,1),(142,1),(166,1)}
       123:{2,3,5,6}:{(98,1),(101,1),(108,1),(143,1),(145,1),(172,1)}
       124:{1,2,5,7}:{(98,1),(99,1),(143,1),(144,1)}
       125:{1,3,6,7}:{(99,1),(103,1),(144,1),(150,1)}
       126:{1,2,4,5,6}:{(100,1),(101,1),(102,1),(104,1),(112,1),(143,1),(145,1),(147,1),(155,1),(168,1)}
       127:{3,5,7}:{(102,1),(103,1),(145,1),(146,1)}
       128:{2,3,5,6}:{(104,1),(105,1),(106,1),(145,1),(147,1),(148,1)}
       129:{2,4,7}:{(105,1),(146,1),(147,1)}
       130:{2,3,4,6}:{(106,1),(107,1),(116,1),(147,1),(148,1),(154,1)}
       131:{1,2,4,6}:{(108,1),(109,1),(143,1),(150,1),(168,1)}
       132:{1,3,5,7}:{(109,1),(113,1),(150,1),(151,1),(171,1)}
       133:{1,2,4,6}:{(110,1),(111,1),(117,1),(152,1),(156,1)}
       134:{2,3,5,7}:{(111,1),(113,1),(152,1),(153,1),(172,1)}
       135:{3,6}:{(112,1),(113,1)}
       136:{3,4,7}:{(113,1),(115,1),(154,1)}
       137:{1,2,4,6}:{(114,1),(115,1),(121,1),(147,1),(154,1),(155,1),(156,1),(168,1)}
       138:{1,2,5}:{(116,1),(122,1),(148,1)}
       139:{2,3,5,6}:{(117,1),(118,1),(119,1),(152,1),(156,1),(172,1)}
       140:{2,4,7}:{(118,1),(120,1),(156,1)}
       141:{3,4,6}:{(119,1),(120,1),(121,1),(156,1),(157,1)}
       142:{1,4,5}:{(121,1),(122,1),(157,1)}
       143:{1,2,5,6}:{(123,1),(124,1),(131,1),(158,1),(174,1)}
       144:{1,3,5,7}:{(124,1),(125,1),(127,1),(158,1),(159,1)}
       145:{3,5,6}:{(126,1),(127,1),(135,1),(160,1),(166,1)}
       146:{3,4,7}:{(127,1),(129,1),(159,1),(160,1)}
       147:{2,4,6}:{(128,1),(129,1),(160,1),(161,1)}
       148:{2,3,5}:{(130,1),(138,1),(161,1),(166,1)}
       149:{1,2,3,5,7}:{(132,1),(134,1),(162,1),(163,1),(174,1)}
       150:{1,3,6}:{(131,1),(132,1),(135,1)}
       151:{1,3,4,7}:{(132,1),(136,1),(159,1),(163,1),(164,1)}
       152:{2,3,6}:{(133,1),(134,1),(135,1)}
       153:{2,3,4,7}:{(134,1),(136,1),(140,1),(163,1),(165,1)}
       154:{3,4,6}:{(135,1),(136,1),(137,1),(166,1)}
       155:{1,2,4,5}:{(137,1),(138,1),(142,1),(161,1),(166,1),(167,1),(173,1),(174,1)}
       156:{2,4,6}:{(139,1),(140,1),(141,1),(167,1)}
       157:{3,4,5}:{(141,1),(142,1),(166,1),(167,1)}
       158:{1,3,5,6}:{(143,1),(144,1),(145,1),(150,1),(168,1),(171,1)}
       159:{1,4,7}:{(144,1),(146,1),(168,1)}
       160:{3,4,6}:{(145,1),(146,1),(147,1),(168,1),(169,1)}
       161:{2,4,5}:{(147,1),(148,1),(169,1)}
       162:{1,2,3,6}:{(149,1),(150,1),(152,1),(170,1)}
       163:{1,2,4,7}:{(149,1),(151,1),(153,1),(170,1)}
       164:{1,3,4,6}:{(150,1),(151,1),(154,1),(168,1),(170,1),(171,1)}
       165:{2,3,4,6}:{(152,1),(153,1),(154,1),(156,1),(170,1),(172,1)}
       166:{3,5}:{(154,1),(155,1)}
       167:{2,4,5}:{(156,1),(157,1),(172,1)}
       168:{1,4,6}:{(158,1),(159,1),(160,1),(173,1)}
       169:{3,4,5}:{(160,1),(161,1),(166,1),(173,1)}
       170:{1,2,4,6}:{(162,1),(163,1),(164,1),(165,1),(174,1)}
       171:{1,3,5}:{(164,1),(166,1),(173,1),(174,1)}
       172:{2,3,5}:{(165,1),(166,1),(167,1),(174,1)}
       173:{1,4,5}:{(168,1),(169,1),(171,1)}
       174:{1,2,5}:{(170,1),(171,1),(172,1)}

2127 :  0:{1,3,4,5,7}:{(2,1),(3,1),(12,1),(61,1),(64,1)}
        1:{2,3,4,5,7}:{(2,1),(4,1),(13,1),(61,1),(64,1)}
        2:{1,2,4,5,7}:{(0,1),(1,1),(7,1),(8,1),(22,1),(48,1),(52,1)}
        3:{1,3,4,6}:{(0,1),(8,1),(9,1),(53,1)}
        4:{2,3,4,6}:{(1,1),(8,1),(10,1),(53,1)}
        5:{1,3,4,6,7}:{(3,1),(11,1),(12,1),(32,1),(58,1),(61,1)}
        6:{2,3,4,6,7}:{(4,1),(11,1),(13,1),(33,1),(58,1),(61,1)}
        7:{1,2,3,5,7}:{(2,1),(14,1),(15,1),(38,1)}
        8:{1,2,4,6}:{(2,1),(3,1),(4,1),(15,1),(16,1)}
        9:{1,3,5,6}:{(3,1),(12,1),(16,1),(17,1),(40,1)}
       10:{2,3,5,6}:{(4,1),(13,1),(16,1),(18,1),(40,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(8,1),(21,1),(22,1),(48,1)}
       12:{1,3,5,7}:{(5,1),(9,1),(22,1),(23,1),(49,1)}
       13:{2,3,5,7}:{(6,1),(10,1),(22,1),(24,1),(49,1)}
       14:{1,2,3,4,7}:{(7,1),(25,1),(48,1),(81,1)}
       15:{1,2,3,6}:{(7,1),(8,1)}
       16:{1,2,5,6}:{(8,1),(9,1),(10,1),(22,1)}
       17:{1,4,5,6}:{(9,1),(23,1),(28,1)}
       18:{2,4,5,6}:{(10,1),(24,1),(29,1)}
       19:{1,3,5,6,7}:{(12,1),(31,1),(32,1),(43,1),(58,1)}
       20:{2,3,5,6,7}:{(13,1),(31,1),(33,1),(57,1),(58,1)}
       21:{1,2,3,6,7}:{(11,1),(15,1),(34,1),(58,1),(77,1)}
       22:{1,2,5,7}:{(11,1),(12,1),(13,1),(16,1)}
       23:{1,4,5,7}:{(12,1),(17,1),(32,1),(36,1)}
       24:{2,4,5,7}:{(13,1),(18,1),(33,1),(37,1)}
       25:{1,2,3,4,6}:{(14,1),(15,1),(38,1),(39,1),(80,1),(83,1)}
       26:{1,2,3,5,6}:{(15,1),(16,1),(34,1),(38,1),(39,1),(40,1),(67,1),(80,1)}
       27:{1,2,4,5,6}:{(16,1),(17,1),(18,1),(35,1),(39,1),(40,1),(41,1),(42,1),(67,1)}
       28:{3,4,5,6}:{(17,1),(36,1),(40,1),(41,1)}
       29:{3,4,5,6}:{(18,1),(37,1),(40,1),(42,1)}
       30:{1,4,5,6,7}:{(32,1),(43,1)}
       31:{1,2,5,6,7}:{(19,1),(20,1),(22,1),(45,1),(56,1),(68,1)}
       32:{1,4,6,7}:{(19,1),(23,1),(46,1)}
       33:{2,4,6,7}:{(20,1),(24,1),(47,1)}
       34:{1,2,3,5,7}:{(21,1),(22,1),(26,1),(48,1),(49,1),(73,1),(81,1)}
       35:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(27,1),(45,1),(48,1),(49,1),(50,1),(51,1),(73,1)}
       36:{3,4,5,7}:{(23,1),(28,1),(46,1),(49,1),(50,1)}
       37:{3,4,5,7}:{(24,1),(29,1),(47,1),(49,1),(51,1)}
       38:{1,2,3,5}:{(25,1),(52,1)}
       39:{1,2,4,6}:{(26,1),(48,1),(52,1),(53,1)}
       40:{3,5,6}:{(27,1),(49,1),(53,1)}
       41:{2,4,5,6}:{(28,1),(50,1),(55,1)}
       42:{1,4,5,6}:{(29,1),(51,1),(54,1)}
       43:{3,5,6,7}:{(30,1),(46,1),(56,1)}
       44:{2,4,5,6,7}:{(33,1),(57,1)}
       45:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(35,1),(58,1),(59,1),(60,1),(77,1)}
       46:{3,4,6,7}:{(32,1),(36,1),(43,1),(58,1),(59,1)}
       47:{3,4,6,7}:{(33,1),(37,1),(57,1),(58,1),(60,1)}
       48:{1,2,4,7}:{(34,1),(39,1),(61,1)}
       49:{3,5,7}:{(35,1),(40,1),(58,1),(61,1)}
       50:{2,4,5,7}:{(36,1),(41,1),(59,1),(63,1)}
       51:{1,4,5,7}:{(37,1),(42,1),(60,1),(62,1)}
       52:{1,2,4,5}:{(38,1),(39,1),(64,1)}
       53:{3,4,6}:{(39,1),(40,1),(61,1),(64,1)}
       54:{1,3,5,6}:{(40,1),(42,1),(62,1),(65,1),(67,1)}
       55:{2,3,5,6}:{(40,1),(41,1),(63,1),(66,1),(67,1)}
       56:{2,5,6,7}:{(43,1),(59,1)}
       57:{3,5,6,7}:{(44,1),(47,1),(68,1)}
       58:{3,6,7}:{(45,1),(49,1)}
       59:{2,4,6,7}:{(46,1),(50,1),(56,1),(70,1)}
       60:{1,4,6,7}:{(47,1),(51,1),(68,1),(69,1)}
       61:{3,4,7}:{(48,1),(49,1),(53,1)}
       62:{1,3,5,7}:{(49,1),(51,1),(54,1),(69,1),(71,1),(73,1)}
       63:{2,3,5,7}:{(49,1),(50,1),(55,1),(70,1),(72,1),(73,1)}
       64:{3,4,5}:{(52,1),(53,1)}
       65:{1,3,4,6}:{(53,1),(54,1),(71,1),(74,1),(76,1)}
       66:{2,3,4,6}:{(53,1),(55,1),(72,1),(75,1),(76,1)}
       67:{1,2,5,6}:{(54,1),(55,1),(73,1),(76,1)}
       68:{1,5,6,7}:{(57,1),(60,1)}
       69:{1,3,6,7}:{(58,1),(60,1),(62,1),(77,1)}
       70:{2,3,6,7}:{(58,1),(59,1),(63,1),(77,1)}
       71:{1,3,4,7}:{(61,1),(62,1),(65,1),(78,1)}
       72:{2,3,4,7}:{(61,1),(63,1),(66,1),(78,1)}
       73:{1,2,5,7}:{(62,1),(63,1),(67,1),(77,1),(78,1)}
       74:{1,3,4,5}:{(64,1),(65,1),(79,1)}
       75:{2,3,4,5}:{(64,1),(66,1),(79,1)}
       76:{1,2,4,6}:{(65,1),(66,1),(67,1),(78,1),(79,1),(80,1)}
       77:{1,2,6,7}:{(69,1),(70,1),(73,1)}
       78:{1,2,4,7}:{(71,1),(72,1),(73,1),(76,1),(81,1)}
       79:{1,2,4,5}:{(74,1),(75,1),(76,1),(82,1)}
       80:{1,2,3,6}:{(76,1),(81,1),(82,1)}
       81:{1,2,3,7}:{(78,1),(80,1)}
       82:{1,2,3,5}:{(79,1),(80,1),(83,1)}
       83:{1,2,3,4}:{(82,1)}

2128 :   0:{2,3,4,5,7}:{(3,1),(4,1),(27,1),(39,1),(94,1),(144,1),(145,1),(152,1),(189,1),(191,1)}
         1:{1,3,4,5,7}:{(5,1),(6,1),(31,1),(35,1),(86,1),(146,1),(150,1),(151,1),(189,1),(193,1)}
         2:{2,4,5,6,7}:{(7,1),(41,1),(182,1)}
         3:{2,3,4,6}:{(0,1),(10,1),(12,1),(114,1),(177,1),(202,1),(203,1)}
         4:{1,2,4,5,7}:{(0,1),(12,1),(13,1),(49,1),(54,1),(110,1),(115,1),(116,1)}
         5:{1,3,4,6}:{(1,1),(15,1),(17,1),(121,1),(173,1),(202,1),(204,1)}
         6:{1,2,4,5,7}:{(1,1),(17,1),(18,1),(49,1),(62,1),(110,1),(122,1),(123,1)}
         7:{3,5,6,7}:{(2,1),(19,1),(20,1),(197,1)}
         8:{1,4,5,6,7}:{(22,1),(69,1),(156,1)}
         9:{3,4,5,6}:{(24,1),(25,1),(26,1),(82,1),(151,1),(194,1)}
        10:{2,3,5,6}:{(3,1),(26,1),(27,1),(28,1),(82,1),(94,1),(195,1)}
        11:{2,3,4,6,7}:{(3,1),(27,1),(29,1),(41,1),(96,1),(144,1),(154,1)}
        12:{1,2,4,6}:{(3,1),(4,1),(28,1),(30,1),(84,1)}
        13:{1,3,5,7}:{(4,1),(30,1),(31,1),(86,1),(189,1)}
        14:{3,4,5,6}:{(32,1),(33,1),(34,1),(90,1),(145,1),(192,1)}
        15:{1,3,5,6}:{(5,1),(33,1),(35,1),(36,1),(86,1),(90,1),(205,1)}
        16:{1,3,4,6,7}:{(5,1),(35,1),(37,1),(69,1),(129,1),(150,1),(180,1)}
        17:{1,2,4,6}:{(5,1),(6,1),(36,1),(38,1),(92,1)}
        18:{2,3,5,7}:{(6,1),(38,1),(39,1),(94,1),(189,1)}
        19:{3,4,6,7}:{(7,1),(24,1),(40,1),(41,1),(96,1),(194,1)}
        20:{1,5,6,7}:{(7,1),(40,1),(205,1)}
        21:{2,3,5,6,7}:{(7,1),(27,1),(41,1),(42,1),(96,1),(153,1)}
        22:{3,5,6,7}:{(8,1),(43,1),(45,1),(179,1)}
        23:{1,2,3,5,7}:{(13,1),(18,1),(48,1),(49,1),(110,1)}
        24:{3,4,5,7}:{(9,1),(19,1),(51,1),(52,1),(113,1)}
        25:{1,4,5,6}:{(9,1),(50,1),(51,1),(175,1),(204,1)}
        26:{2,4,5,6}:{(9,1),(10,1),(52,1),(123,1),(177,1)}
        27:{2,3,5,7}:{(10,1),(11,1),(52,1),(54,1),(113,1),(178,1)}
        28:{1,2,5,6}:{(10,1),(12,1),(54,1),(55,1),(110,1)}
        29:{1,2,4,6,7}:{(11,1),(12,1),(54,1),(56,1),(115,1)}
        30:{1,3,6}:{(12,1),(13,1),(202,1)}
        31:{1,3,4,7}:{(13,1),(49,1),(57,1),(115,1),(166,1)}
        32:{3,4,5,7}:{(14,1),(43,1),(59,1),(60,1),(120,1)}
        33:{1,4,5,6}:{(14,1),(15,1),(59,1),(116,1),(173,1)}
        34:{2,4,5,6}:{(14,1),(58,1),(60,1),(171,1),(203,1)}
        35:{1,3,5,7}:{(15,1),(16,1),(59,1),(62,1),(120,1),(196,1)}
        36:{1,2,5,6}:{(15,1),(17,1),(62,1),(63,1),(110,1)}
        37:{1,2,4,6,7}:{(16,1),(17,1),(62,1),(64,1),(122,1)}
        38:{2,3,6}:{(17,1),(18,1),(202,1)}
        39:{2,3,4,7}:{(18,1),(49,1),(65,1),(122,1),(166,1)}
        40:{1,4,6,7}:{(19,1),(20,1),(51,1),(66,1),(204,1)}
        41:{2,4,6,7}:{(19,1),(21,1),(52,1),(177,1)}
        42:{1,2,5,6,7}:{(20,1),(21,1),(54,1),(67,1),(68,1),(169,1),(178,1)}
        43:{3,4,6,7}:{(22,1),(32,1),(69,1),(70,1),(129,1),(192,1)}
        44:{1,3,5,6,7}:{(22,1),(35,1),(69,1),(71,1),(129,1),(147,1)}
        45:{2,5,6,7}:{(22,1),(70,1),(195,1)}
        46:{2,3,4,5}:{(72,1),(73,1),(137,1),(151,1),(188,1)}
        47:{1,3,4,5}:{(74,1),(75,1),(134,1),(145,1),(186,1)}
        48:{1,2,3,6}:{(23,1),(30,1),(38,1),(78,1)}
        49:{1,2,4,7}:{(23,1),(31,1),(39,1),(78,1)}
        50:{1,3,5,6}:{(25,1),(74,1),(79,1),(80,1),(82,1),(186,1),(207,1)}
        51:{1,4,5,7}:{(24,1),(25,1),(40,1),(79,1)}
        52:{2,4,5,7}:{(24,1),(26,1),(27,1),(41,1)}
        53:{1,2,4,5,6}:{(25,1),(26,1),(28,1),(80,1),(81,1),(82,1),(84,1),(140,1),(143,1),(156,1),(190,1),(195,1)}
        54:{1,2,5,7}:{(27,1),(28,1),(29,1),(83,1)}
        55:{1,3,5,6}:{(28,1),(30,1),(82,1),(83,1),(84,1),(86,1)}
        56:{1,3,6,7}:{(29,1),(30,1),(83,1),(96,1)}
        57:{1,3,4,6}:{(30,1),(31,1),(78,1),(84,1),(86,1),(138,1)}
        58:{2,3,5,6}:{(34,1),(72,1),(87,1),(88,1),(90,1),(188,1),(208,1)}
        59:{1,4,5,7}:{(32,1),(33,1),(35,1),(69,1)}
        60:{2,4,5,7}:{(32,1),(34,1),(70,1),(87,1)}
        61:{1,2,4,5,6}:{(33,1),(34,1),(36,1),(88,1),(89,1),(90,1),(92,1),(140,1),(149,1),(182,1),(190,1),(205,1)}
        62:{1,2,5,7}:{(35,1),(36,1),(37,1),(91,1)}
        63:{2,3,5,6}:{(36,1),(38,1),(90,1),(91,1),(92,1),(94,1)}
        64:{2,3,6,7}:{(37,1),(38,1),(91,1),(129,1)}
        65:{2,3,4,6}:{(38,1),(39,1),(78,1),(92,1),(94,1),(138,1)}
        66:{1,3,6,7}:{(40,1),(79,1),(95,1),(96,1),(207,1)}
        67:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(81,1),(95,1),(96,1),(97,1),(154,1),(190,1)}
        68:{1,3,5,6,7}:{(42,1),(83,1),(96,1),(97,1),(147,1),(155,1)}
        69:{1,4,6,7}:{(43,1),(44,1),(59,1),(173,1)}
        70:{2,4,6,7}:{(43,1),(45,1),(60,1),(98,1),(203,1)}
        71:{1,2,5,6,7}:{(44,1),(45,1),(62,1),(99,1),(100,1),(169,1),(196,1)}
        72:{2,3,4,6}:{(46,1),(58,1),(101,1),(102,1),(121,1)}
        73:{1,2,4,5}:{(46,1),(102,1),(103,1),(161,1),(175,1),(199,1)}
        74:{1,3,4,6}:{(47,1),(50,1),(104,1),(105,1),(114,1)}
        75:{1,2,4,5}:{(47,1),(105,1),(106,1),(161,1),(171,1),(199,1)}
        76:{1,2,3,5,6}:{(48,1),(55,1),(63,1),(107,1),(108,1),(110,1),(112,1),(119,1),(160,1),(167,1),(169,1),(199,1),(202,1),(209,1)}
        77:{1,2,3,6,7}:{(48,1),(56,1),(64,1),(107,1),(109,1),(125,1),(157,1),(202,1),(209,1)}
        78:{1,2,4,6}:{(48,1),(49,1),(57,1),(65,1),(110,1)}
        79:{1,3,5,7}:{(50,1),(51,1),(66,1),(104,1),(111,1),(113,1)}
        80:{1,2,5,6}:{(50,1),(105,1),(111,1),(112,1),(199,1),(209,1)}
        81:{1,2,4,5,7}:{(51,1),(52,1),(53,1),(54,1),(67,1),(111,1),(113,1),(115,1),(127,1),(170,1),(178,1)}
        82:{3,5,6}:{(53,1),(113,1),(114,1),(167,1),(202,1)}
        83:{1,3,5,7}:{(54,1),(55,1),(56,1),(113,1),(115,1)}
        84:{1,4,6}:{(55,1),(114,1),(115,1),(116,1)}
        85:{1,3,4,6,7}:{(56,1),(57,1),(109,1),(115,1),(117,1),(126,1),(166,1),(173,1),(202,1)}
        86:{1,3,5}:{(57,1),(110,1),(116,1),(167,1)}
        87:{2,3,5,7}:{(58,1),(60,1),(98,1),(101,1),(118,1),(120,1)}
        88:{1,2,5,6}:{(58,1),(102,1),(118,1),(119,1),(199,1),(209,1)}
        89:{1,2,4,5,7}:{(59,1),(60,1),(61,1),(62,1),(99,1),(118,1),(120,1),(122,1),(159,1),(174,1),(196,1)}
        90:{3,5,6}:{(61,1),(120,1),(121,1),(167,1),(202,1)}
        91:{2,3,5,7}:{(62,1),(63,1),(64,1),(120,1),(122,1)}
        92:{2,4,6}:{(63,1),(121,1),(122,1),(123,1)}
        93:{2,3,4,6,7}:{(64,1),(65,1),(109,1),(122,1),(124,1),(158,1),(166,1),(177,1),(202,1)}
        94:{2,3,5}:{(65,1),(110,1),(123,1),(167,1)}
        95:{1,2,6,7}:{(66,1),(111,1),(125,1),(209,1)}
        96:{3,6,7}:{(67,1),(113,1),(202,1)}
        97:{1,4,6,7}:{(68,1),(115,1),(126,1),(127,1),(173,1)}
        98:{2,3,6,7}:{(70,1),(87,1),(128,1),(129,1),(208,1)}
        99:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(89,1),(128,1),(129,1),(130,1),(180,1),(190,1)}
       100:{2,3,5,6,7}:{(71,1),(91,1),(129,1),(130,1),(153,1),(181,1)}
       101:{2,3,4,7}:{(72,1),(87,1),(132,1),(150,1)}
       102:{1,2,4,6}:{(72,1),(73,1),(88,1),(132,1),(133,1),(149,1)}
       103:{1,3,5}:{(73,1),(133,1),(134,1)}
       104:{1,3,4,7}:{(74,1),(79,1),(135,1),(144,1)}
       105:{1,2,4,6}:{(74,1),(75,1),(80,1),(135,1),(136,1),(143,1)}
       106:{2,3,5}:{(75,1),(136,1),(137,1)}
       107:{1,2,3,5,7}:{(76,1),(77,1),(83,1),(91,1),(139,1),(141,1),(142,1),(148,1),(183,1),(189,1),(206,1)}
       108:{1,2,4,6}:{(76,1),(84,1),(92,1),(138,1),(139,1),(140,1),(143,1),(149,1)}
       109:{1,2,4,6,7}:{(77,1),(78,1),(85,1),(93,1),(139,1),(141,1),(154,1),(180,1),(190,1)}
       110:{1,2,5}:{(78,1),(86,1),(94,1)}
       111:{1,2,5,7}:{(79,1),(80,1),(95,1),(135,1),(142,1)}
       112:{2,3,5,6}:{(80,1),(82,1),(136,1),(142,1),(143,1),(188,1),(195,1),(208,1)}
       113:{3,5,7}:{(81,1),(82,1),(96,1),(144,1)}
       114:{3,4,6}:{(82,1),(84,1),(143,1),(144,1),(145,1)}
       115:{1,4,7}:{(83,1),(84,1),(144,1)}
       116:{1,4,5}:{(84,1),(86,1),(145,1)}
       117:{1,3,5,7}:{(85,1),(86,1),(141,1),(146,1),(147,1),(155,1),(189,1)}
       118:{1,2,5,7}:{(87,1),(88,1),(128,1),(132,1),(148,1)}
       119:{1,3,5,6}:{(88,1),(90,1),(133,1),(148,1),(149,1),(186,1),(205,1),(207,1)}
       120:{3,5,7}:{(89,1),(90,1),(129,1),(150,1)}
       121:{3,4,6}:{(90,1),(92,1),(149,1),(150,1),(151,1)}
       122:{2,4,7}:{(91,1),(92,1),(150,1)}
       123:{2,4,5}:{(92,1),(94,1),(151,1)}
       124:{2,3,5,7}:{(93,1),(94,1),(141,1),(152,1),(153,1),(181,1),(189,1)}
       125:{2,3,6,7}:{(95,1),(96,1),(142,1),(154,1),(208,1)}
       126:{3,4,6,7}:{(96,1),(97,1),(144,1),(154,1),(155,1),(192,1)}
       127:{1,4,5,7}:{(97,1),(155,1),(156,1)}
       128:{1,2,6,7}:{(98,1),(118,1),(157,1),(209,1)}
       129:{3,6,7}:{(99,1),(120,1),(202,1)}
       130:{2,4,6,7}:{(100,1),(122,1),(158,1),(159,1),(177,1)}
       131:{1,2,3,5}:{(103,1),(106,1),(160,1),(161,1),(199,1)}
       132:{1,2,4,7}:{(101,1),(102,1),(118,1),(162,1),(174,1)}
       133:{1,3,6}:{(102,1),(103,1),(162,1)}
       134:{1,3,4}:{(103,1),(161,1)}
       135:{1,2,4,7}:{(104,1),(105,1),(111,1),(164,1),(170,1)}
       136:{2,3,6}:{(105,1),(106,1),(164,1)}
       137:{2,3,4}:{(106,1),(161,1)}
       138:{3,4,6}:{(108,1),(166,1),(167,1),(202,1)}
       139:{1,2,4,7}:{(107,1),(108,1),(115,1),(122,1),(166,1),(170,1),(174,1)}
       140:{1,2,4,5}:{(108,1),(110,1),(116,1),(123,1),(167,1),(171,1),(175,1),(199,1)}
       141:{1,2,5,7}:{(109,1),(110,1),(117,1),(124,1),(169,1),(178,1),(196,1)}
       142:{2,3,5,7}:{(111,1),(112,1),(113,1),(125,1),(164,1),(170,1),(178,1)}
       143:{2,4,6}:{(112,1),(114,1),(170,1),(171,1)}
       144:{3,4,7}:{(113,1),(114,1),(115,1),(170,1)}
       145:{3,4,5}:{(114,1),(116,1),(167,1),(171,1)}
       146:{1,4,5,7}:{(115,1),(116,1),(117,1),(172,1),(173,1)}
       147:{1,3,5,6}:{(117,1),(169,1),(173,1),(179,1),(202,1)}
       148:{1,3,5,7}:{(118,1),(119,1),(120,1),(157,1),(162,1),(174,1),(196,1)}
       149:{1,4,6}:{(119,1),(121,1),(174,1),(175,1)}
       150:{3,4,7}:{(120,1),(121,1),(122,1),(174,1)}
       151:{3,4,5}:{(121,1),(123,1),(167,1),(175,1)}
       152:{2,4,5,7}:{(122,1),(123,1),(124,1),(176,1),(177,1)}
       153:{2,3,5,6}:{(124,1),(169,1),(177,1),(197,1),(202,1)}
       154:{2,4,6,7}:{(125,1),(126,1),(170,1),(178,1),(203,1)}
       155:{3,5,7}:{(126,1),(127,1),(178,1),(179,1)}
       156:{1,4,5,6}:{(127,1),(173,1),(179,1)}
       157:{1,3,6,7}:{(128,1),(129,1),(148,1),(180,1),(207,1)}
       158:{3,4,6,7}:{(129,1),(130,1),(150,1),(180,1),(181,1),(194,1)}
       159:{2,4,5,7}:{(130,1),(181,1),(182,1)}
       160:{1,2,3,6}:{(131,1),(133,1),(136,1),(183,1),(184,1)}
       161:{1,2,4}:{(131,1),(134,1),(137,1)}
       162:{1,3,7}:{(132,1),(133,1)}
       163:{1,3,4,6}:{(133,1),(134,1),(138,1),(149,1),(184,1),(185,1),(186,1),(207,1)}
       164:{2,3,7}:{(135,1),(136,1)}
       165:{2,3,4,6}:{(136,1),(137,1),(138,1),(143,1),(184,1),(187,1),(188,1),(208,1)}
       166:{3,4,7}:{(138,1),(139,1),(189,1)}
       167:{3,5}:{(138,1),(140,1)}
       168:{1,2,4,5,7}:{(139,1),(140,1),(141,1),(146,1),(152,1),(189,1),(190,1),(191,1),(193,1),(206,1)}
       169:{1,2,5,6}:{(141,1),(147,1),(153,1),(190,1),(195,1),(205,1)}
       170:{2,4,7}:{(142,1),(143,1),(144,1)}
       171:{2,4,5}:{(143,1),(145,1),(188,1)}
       172:{3,4,5,7}:{(144,1),(145,1),(146,1),(155,1),(189,1),(191,1),(192,1)}
       173:{1,4,6}:{(146,1),(147,1),(192,1)}
       174:{1,4,7}:{(148,1),(149,1),(150,1)}
       175:{1,4,5}:{(149,1),(151,1),(186,1)}
       176:{3,4,5,7}:{(150,1),(151,1),(152,1),(181,1),(189,1),(193,1),(194,1)}
       177:{2,4,6}:{(152,1),(153,1),(194,1)}
       178:{2,5,7}:{(154,1),(155,1),(195,1)}
       179:{3,5,6}:{(155,1),(156,1),(192,1),(195,1)}
       180:{1,4,6,7}:{(157,1),(158,1),(174,1),(196,1),(204,1)}
       181:{3,5,7}:{(158,1),(159,1),(196,1),(197,1)}
       182:{2,4,5,6}:{(159,1),(177,1),(197,1)}
       183:{1,2,3,7}:{(160,1),(162,1),(164,1),(198,1)}
       184:{1,2,4,6}:{(160,1),(161,1),(163,1),(165,1),(198,1),(199,1),(209,1)}
       185:{1,3,4,7}:{(162,1),(163,1),(166,1),(174,1),(198,1),(200,1)}
       186:{1,3,5}:{(163,1),(167,1),(175,1),(199,1)}
       187:{2,3,4,7}:{(164,1),(165,1),(166,1),(170,1),(198,1),(201,1)}
       188:{2,3,5}:{(165,1),(167,1),(171,1),(199,1)}
       189:{3,5,7}:{(166,1),(167,1),(168,1),(202,1)}
       190:{1,2,4,6}:{(168,1),(169,1),(173,1),(177,1),(202,1),(203,1),(204,1),(209,1)}
       191:{2,4,5,7}:{(170,1),(171,1),(172,1),(178,1),(201,1),(203,1)}
       192:{3,4,6}:{(172,1),(173,1),(179,1),(202,1),(203,1)}
       193:{1,4,5,7}:{(174,1),(175,1),(176,1),(196,1),(200,1),(204,1)}
       194:{3,4,6}:{(176,1),(177,1),(197,1),(202,1),(204,1)}
       195:{2,5,6}:{(178,1),(179,1),(203,1)}
       196:{1,5,7}:{(180,1),(181,1),(205,1)}
       197:{3,5,6}:{(181,1),(182,1),(194,1),(205,1)}
       198:{1,2,4,7}:{(183,1),(184,1),(185,1),(187,1),(206,1)}
       199:{1,2,5}:{(184,1),(186,1),(188,1)}
       200:{1,3,5,7}:{(185,1),(186,1),(189,1),(193,1),(206,1),(207,1)}
       201:{2,3,5,7}:{(187,1),(188,1),(189,1),(191,1),(206,1),(208,1)}
       202:{3,6}:{(189,1),(190,1)}
       203:{2,4,6}:{(191,1),(192,1),(195,1),(208,1)}
       204:{1,4,6}:{(193,1),(194,1),(205,1),(207,1)}
       205:{1,5,6}:{(196,1),(197,1),(204,1)}
       206:{1,2,5,7}:{(198,1),(199,1),(200,1),(201,1),(209,1)}
       207:{1,3,6}:{(200,1),(202,1),(204,1),(209,1)}
       208:{2,3,6}:{(201,1),(202,1),(203,1),(209,1)}
       209:{1,2,6}:{(206,1),(207,1),(208,1)}

2129 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(18,1),(37,1),(38,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(24,1),(47,1)}
        2:{1,2,4,5,7}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,5,6}:{(1,1),(5,1),(12,1),(34,1),(37,1)}
        4:{3,4,5,7}:{(2,1),(10,1),(24,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(10,1)}
        6:{1,2,3,5,6,7}:{(3,1),(11,1),(24,1),(43,1),(44,1),(47,1),(48,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(29,1),(30,1),(34,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(16,1),(35,1),(51,1),(62,1)}
        9:{1,3,4,5,7}:{(4,1),(15,1),(17,1),(36,1),(51,1),(62,1)}
       10:{3,4,6}:{(4,1),(5,1),(12,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(13,1),(18,1),(49,1),(50,1)}
       12:{3,5,6}:{(7,1),(10,1),(24,1)}
       13:{1,2,4,5,7}:{(7,1),(11,1),(24,1),(41,1),(42,1),(47,1)}
       14:{1,2,3,4,7}:{(21,1),(25,1),(60,1)}
       15:{1,2,4,5,7}:{(8,1),(9,1),(25,1),(26,1),(45,1),(47,1),(60,1)}
       16:{2,3,4,6}:{(8,1),(10,1),(22,1),(26,1),(58,1)}
       17:{1,3,4,6}:{(9,1),(10,1),(23,1),(26,1),(58,1)}
       18:{3,4,6,7}:{(10,1),(11,1),(24,1)}
       19:{3,4,5,6}:{(12,1),(29,1),(30,1),(31,1),(52,1)}
       20:{1,2,4,5,6,7}:{(13,1),(32,1),(49,1),(50,1),(54,1)}
       21:{1,2,3,4,6}:{(14,1),(33,1),(37,1),(55,1)}
       22:{2,3,5,6}:{(12,1),(16,1),(29,1),(34,1),(35,1),(52,1)}
       23:{1,3,5,6}:{(12,1),(17,1),(30,1),(34,1),(36,1),(52,1)}
       24:{3,5,7}:{(12,1),(13,1),(18,1)}
       25:{1,2,3,5,7}:{(14,1),(15,1),(33,1),(37,1)}
       26:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(37,1)}
       27:{2,3,4,6,7}:{(16,1),(18,1),(35,1),(38,1),(49,1),(61,1),(62,1)}
       28:{1,3,4,6,7}:{(17,1),(18,1),(36,1),(38,1),(50,1),(61,1),(62,1)}
       29:{2,4,5,6}:{(19,1),(22,1),(41,1)}
       30:{1,4,5,6}:{(19,1),(23,1),(42,1)}
       31:{3,4,5,7}:{(19,1),(24,1),(39,1),(41,1),(42,1),(59,1)}
       32:{3,5,6,7}:{(20,1),(24,1),(39,1)}
       33:{1,2,3,5}:{(21,1),(45,1)}
       34:{1,2,5,6}:{(22,1),(23,1),(26,1),(47,1)}
       35:{2,3,5,7}:{(22,1),(24,1),(27,1),(41,1),(47,1),(59,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(28,1),(42,1),(47,1),(59,1)}
       37:{1,2,3,6}:{(25,1),(26,1)}
       38:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(47,1),(48,1),(60,1)}
       39:{3,4,6,7}:{(31,1),(32,1),(49,1),(50,1),(61,1)}
       40:{1,2,4,5,6}:{(29,1),(30,1),(34,1),(52,1),(53,1),(55,1)}
       41:{2,4,5,7}:{(29,1),(31,1),(35,1),(49,1)}
       42:{1,4,5,7}:{(30,1),(31,1),(36,1),(50,1)}
       43:{2,3,5,6,7}:{(32,1),(35,1),(49,1),(54,1),(61,1)}
       44:{1,3,5,6,7}:{(32,1),(36,1),(50,1),(54,1),(61,1)}
       45:{1,2,4,5}:{(33,1),(51,1),(55,1)}
       46:{1,2,3,5,6}:{(33,1),(34,1),(37,1),(52,1),(55,1),(56,1)}
       47:{1,2,5,7}:{(34,1),(35,1),(36,1),(38,1)}
       48:{1,2,3,6,7}:{(37,1),(38,1),(56,1),(61,1)}
       49:{2,4,6,7}:{(39,1),(41,1),(43,1)}
       50:{1,4,6,7}:{(39,1),(42,1),(44,1)}
       51:{3,4,5}:{(45,1),(58,1)}
       52:{3,5,6}:{(40,1),(58,1),(59,1)}
       53:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(47,1),(57,1),(59,1),(60,1)}
       54:{1,2,5,6,7}:{(43,1),(44,1),(47,1),(57,1)}
       55:{1,2,4,6}:{(45,1),(46,1),(58,1),(60,1)}
       56:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(59,1),(60,1)}
       57:{1,2,4,6,7}:{(49,1),(50,1),(53,1),(54,1),(61,1)}
       58:{3,4,6}:{(51,1),(52,1),(55,1),(62,1)}
       59:{3,5,7}:{(52,1),(53,1),(61,1),(62,1)}
       60:{1,2,4,7}:{(55,1),(56,1),(62,1)}
       61:{3,6,7}:{(57,1),(59,1)}
       62:{3,4,7}:{(58,1),(59,1),(60,1)}

2130 :  0:{1,2,3,4,7}:{(1,1),(2,1),(27,1),(79,1)}
        1:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        2:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(70,1),(71,1)}
        3:{1,3,4,5,7}:{(4,1),(7,1),(20,1),(21,1),(40,1)}
        4:{1,2,4,5,7}:{(1,1),(3,1),(8,1),(9,1),(12,1),(25,1),(27,1)}
        5:{1,2,3,6}:{(1,1),(9,1)}
        6:{1,2,3,5}:{(2,1),(12,1)}
        7:{1,3,4,6}:{(3,1),(9,1),(14,1),(28,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(20,1),(35,1),(40,1)}
        9:{1,2,4,6}:{(4,1),(5,1),(7,1),(15,1),(17,1)}
       10:{1,2,3,6,7}:{(5,1),(16,1),(18,1),(65,1),(82,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(17,1),(18,1),(19,1),(39,1),(68,1),(70,1)}
       12:{1,2,4,5}:{(6,1),(19,1),(20,1)}
       13:{1,3,4,6,7}:{(7,1),(16,1),(21,1),(40,1),(44,1),(65,1)}
       14:{1,3,5,6}:{(7,1),(17,1),(21,1),(22,1),(39,1)}
       15:{2,3,4,6}:{(8,1),(9,1),(24,1),(28,1)}
       16:{1,2,4,6,7}:{(9,1),(10,1),(13,1),(23,1),(25,1),(27,1)}
       17:{1,2,5,6}:{(9,1),(14,1),(24,1),(25,1)}
       18:{1,2,3,5,7}:{(10,1),(11,1),(25,1),(27,1),(52,1),(78,1),(79,1)}
       19:{1,2,4,6}:{(11,1),(12,1),(27,1),(28,1)}
       20:{3,4,5}:{(12,1),(28,1)}
       21:{1,3,5,7}:{(13,1),(14,1),(25,1),(32,1),(52,1)}
       22:{1,4,5,6}:{(14,1),(32,1),(33,1)}
       23:{2,3,4,6,7}:{(15,1),(16,1),(35,1),(40,1),(62,1),(65,1)}
       24:{2,3,5,6}:{(15,1),(17,1),(35,1),(36,1),(39,1)}
       25:{1,2,5,7}:{(16,1),(17,1),(21,1),(35,1)}
       26:{1,2,4,5,6}:{(17,1),(19,1),(22,1),(36,1),(38,1),(39,1),(46,1),(64,1),(68,1)}
       27:{1,2,4,7}:{(18,1),(19,1),(40,1)}
       28:{3,4,6}:{(19,1),(20,1),(39,1),(40,1)}
       29:{1,3,4,5}:{(20,1),(41,1),(43,1)}
       30:{2,3,4,5}:{(20,1),(42,1),(43,1)}
       31:{1,3,5,6,7}:{(21,1),(37,1),(44,1),(47,1),(65,1)}
       32:{1,4,5,7}:{(21,1),(22,1),(44,1),(45,1)}
       33:{3,4,5,6}:{(22,1),(39,1),(45,1),(46,1)}
       34:{1,4,5,6,7}:{(44,1),(47,1)}
       35:{2,3,5,7}:{(23,1),(24,1),(25,1),(49,1),(52,1)}
       36:{2,4,5,6}:{(24,1),(49,1),(50,1)}
       37:{1,2,5,6,7}:{(25,1),(31,1),(48,1),(51,1),(61,1),(83,1)}
       38:{1,2,4,5,7}:{(25,1),(26,1),(27,1),(32,1),(49,1),(51,1),(52,1),(60,1),(75,1),(78,1)}
       39:{3,5,6}:{(26,1),(28,1),(52,1)}
       40:{3,4,7}:{(27,1),(28,1),(52,1)}
       41:{1,3,4,6}:{(28,1),(29,1),(53,1),(55,1),(57,1)}
       42:{2,3,4,6}:{(28,1),(30,1),(54,1),(56,1),(57,1)}
       43:{1,2,4,5}:{(29,1),(30,1),(57,1),(58,1)}
       44:{1,4,6,7}:{(31,1),(32,1),(59,1)}
       45:{3,4,5,7}:{(32,1),(33,1),(52,1),(59,1),(60,1)}
       46:{2,4,5,6}:{(33,1),(54,1),(60,1)}
       47:{3,5,6,7}:{(34,1),(59,1),(61,1)}
       48:{2,3,5,6,7}:{(35,1),(37,1),(62,1),(65,1),(80,1)}
       49:{2,4,5,7}:{(35,1),(36,1),(62,1),(63,1)}
       50:{3,4,5,6}:{(36,1),(39,1),(63,1),(64,1)}
       51:{1,2,4,6,7}:{(37,1),(38,1),(44,1),(62,1),(65,1),(72,1),(81,1),(82,1)}
       52:{3,5,7}:{(38,1),(39,1),(40,1),(65,1)}
       53:{1,3,5,6}:{(39,1),(41,1),(64,1),(66,1),(68,1)}
       54:{2,3,5,6}:{(39,1),(42,1),(46,1),(67,1),(68,1)}
       55:{1,3,4,7}:{(40,1),(41,1),(66,1),(69,1)}
       56:{2,3,4,7}:{(40,1),(42,1),(67,1),(69,1)}
       57:{1,2,4,6}:{(41,1),(42,1),(43,1),(68,1),(69,1),(70,1)}
       58:{1,2,3,5}:{(43,1),(70,1),(71,1)}
       59:{3,4,6,7}:{(44,1),(45,1),(47,1),(65,1),(72,1)}
       60:{2,4,5,7}:{(45,1),(46,1),(67,1),(72,1)}
       61:{2,5,6,7}:{(47,1),(72,1)}
       62:{2,4,6,7}:{(48,1),(49,1),(74,1)}
       63:{3,4,5,7}:{(49,1),(50,1),(52,1),(74,1),(75,1)}
       64:{1,4,5,6}:{(50,1),(53,1),(75,1)}
       65:{3,6,7}:{(51,1),(52,1)}
       66:{1,3,5,7}:{(52,1),(53,1),(55,1),(75,1),(76,1),(78,1)}
       67:{2,3,5,7}:{(52,1),(54,1),(56,1),(60,1),(77,1),(78,1)}
       68:{1,2,5,6}:{(53,1),(54,1),(57,1),(78,1)}
       69:{1,2,4,7}:{(55,1),(56,1),(57,1),(78,1),(79,1)}
       70:{1,2,3,6}:{(57,1),(58,1),(79,1)}
       71:{1,2,3,4}:{(58,1)}
       72:{2,4,6,7}:{(59,1),(60,1),(61,1),(77,1)}
       73:{2,4,5,6,7}:{(62,1),(80,1)}
       74:{3,4,6,7}:{(62,1),(63,1),(65,1),(80,1),(81,1)}
       75:{1,4,5,7}:{(63,1),(64,1),(66,1),(81,1)}
       76:{1,3,6,7}:{(65,1),(66,1),(81,1),(82,1)}
       77:{2,3,6,7}:{(65,1),(67,1),(72,1),(82,1)}
       78:{1,2,5,7}:{(66,1),(67,1),(68,1),(69,1),(82,1)}
       79:{1,2,3,7}:{(69,1),(70,1)}
       80:{3,5,6,7}:{(73,1),(74,1),(83,1)}
       81:{1,4,6,7}:{(74,1),(75,1),(76,1),(83,1)}
       82:{1,2,6,7}:{(76,1),(77,1),(78,1)}
       83:{1,5,6,7}:{(80,1),(81,1)}

2131 :   0:{2,3,4,5,6}:{(1,1),(2,1),(27,1),(86,1),(98,1)}
         1:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(18,1),(76,1),(81,1)}
         2:{2,3,4,5,7}:{(0,1),(5,1),(6,1),(42,1),(72,1),(82,1)}
         3:{1,3,4,5,6}:{(7,1),(8,1),(11,1),(66,1),(118,1)}
         4:{1,3,5,6}:{(1,1),(11,1),(12,1)}
         5:{1,2,4,5,7}:{(1,1),(2,1),(12,1),(13,1),(32,1),(62,1),(67,1)}
         6:{2,3,4,6,7}:{(2,1),(13,1),(14,1),(68,1)}
         7:{1,2,4,5,6}:{(3,1),(15,1),(16,1),(18,1),(76,1),(102,1)}
         8:{1,3,4,5,7}:{(3,1),(16,1),(17,1),(23,1),(52,1),(103,1)}
         9:{1,2,3,5,6}:{(4,1),(15,1),(18,1),(19,1),(20,1),(49,1),(76,1)}
        10:{1,2,3,4,6}:{(18,1),(20,1),(21,1),(49,1)}
        11:{1,3,4,6}:{(4,1),(18,1),(22,1),(23,1)}
        12:{1,3,5,7}:{(4,1),(5,1),(23,1),(24,1)}
        13:{1,2,4,6,7}:{(5,1),(6,1),(24,1),(25,1),(53,1)}
        14:{2,3,5,6,7}:{(6,1),(25,1),(26,1),(54,1),(72,1)}
        15:{2,3,5,6}:{(7,1),(27,1),(28,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(28,1),(29,1),(32,1),(62,1),(87,1)}
        17:{1,3,4,6,7}:{(8,1),(29,1),(30,1),(88,1)}
        18:{1,2,4,6}:{(9,1),(11,1),(27,1),(31,1),(32,1)}
        19:{1,2,3,5,7}:{(9,1),(12,1),(28,1),(32,1),(33,1),(62,1)}
        20:{1,2,3,5}:{(10,1),(31,1)}
        21:{1,2,3,4,7}:{(10,1),(32,1),(34,1)}
        22:{1,3,4,5}:{(11,1),(31,1)}
        23:{1,3,4,7}:{(11,1),(12,1),(32,1)}
        24:{1,3,6,7}:{(12,1),(13,1)}
        25:{1,2,5,6,7}:{(13,1),(14,1),(38,1),(62,1)}
        26:{2,4,5,6,7}:{(14,1),(40,1),(87,1)}
        27:{2,3,4,6}:{(15,1),(18,1),(41,1),(42,1)}
        28:{2,3,5,7}:{(15,1),(16,1),(42,1),(43,1)}
        29:{1,2,4,6,7}:{(16,1),(17,1),(43,1),(44,1),(73,1)}
        30:{1,3,5,6,7}:{(17,1),(44,1),(45,1),(52,1),(74,1)}
        31:{1,2,4,5}:{(18,1),(20,1),(22,1),(41,1)}
        32:{1,2,4,7}:{(18,1),(19,1),(23,1),(42,1)}
        33:{1,2,3,6,7}:{(19,1),(24,1),(43,1),(47,1),(49,1)}
        34:{1,2,3,5,7}:{(20,1),(21,1),(46,1),(49,1)}
        35:{1,2,3,4,6,7}:{(21,1),(47,1),(49,1),(50,1),(78,1),(79,1),(110,1),(136,1),(137,1)}
        36:{1,3,4,5,7}:{(22,1),(23,1),(46,1),(51,1),(52,1),(80,1)}
        37:{1,3,4,6,7}:{(23,1),(24,1),(47,1),(51,1),(52,1),(53,1),(78,1)}
        38:{1,3,5,6,7}:{(24,1),(25,1),(52,1),(53,1),(54,1)}
        39:{1,2,4,5,6,7}:{(25,1),(26,1),(53,1),(54,1),(55,1),(77,1),(84,1),(85,1)}
        40:{3,4,5,6,7}:{(26,1),(54,1),(55,1),(103,1)}
        41:{2,3,4,5}:{(27,1),(31,1)}
        42:{2,3,4,7}:{(27,1),(28,1),(32,1)}
        43:{2,3,6,7}:{(28,1),(29,1)}
        44:{1,2,5,6,7}:{(29,1),(30,1),(58,1),(62,1)}
        45:{1,4,5,6,7}:{(30,1),(60,1),(67,1)}
        46:{1,2,4,5,7}:{(31,1),(32,1),(34,1),(36,1),(56,1),(61,1),(62,1)}
        47:{1,2,4,6,7}:{(32,1),(33,1),(37,1),(57,1),(61,1),(62,1)}
        48:{1,2,3,5,6,7}:{(33,1),(38,1),(58,1),(62,1),(63,1),(64,1),(70,1),(89,1),(92,1),(124,1),(125,1)}
        49:{1,2,3,6}:{(34,1),(61,1)}
        50:{1,2,3,5,7}:{(35,1),(62,1),(64,1),(65,1),(92,1),(124,1)}
        51:{1,3,4,6}:{(36,1),(61,1),(66,1),(95,1)}
        52:{1,3,5,7}:{(37,1),(62,1),(66,1),(67,1),(92,1)}
        53:{1,4,6,7}:{(38,1),(67,1),(68,1)}
        54:{3,5,6,7}:{(39,1),(68,1),(92,1)}
        55:{1,4,5,6,7}:{(40,1),(69,1),(119,1)}
        56:{2,3,4,5,7}:{(41,1),(42,1),(46,1),(71,1),(72,1),(80,1)}
        57:{2,3,4,6,7}:{(42,1),(43,1),(47,1),(71,1),(72,1),(73,1),(78,1)}
        58:{2,3,5,6,7}:{(43,1),(44,1),(72,1),(73,1),(74,1)}
        59:{1,2,4,5,6,7}:{(44,1),(45,1),(73,1),(74,1),(75,1),(77,1),(104,1),(106,1)}
        60:{3,4,5,6,7}:{(45,1),(74,1),(75,1),(82,1)}
        61:{1,2,4,6}:{(46,1),(49,1),(51,1),(71,1),(76,1)}
        62:{1,2,5,7}:{(47,1),(52,1),(72,1),(76,1)}
        63:{1,2,4,6,7}:{(48,1),(53,1),(73,1),(77,1),(78,1),(79,1),(84,1),(104,1)}
        64:{1,2,3,5,6}:{(49,1),(50,1),(76,1),(79,1),(107,1),(134,1),(136,1)}
        65:{1,2,4,5,7}:{(50,1),(79,1),(80,1)}
        66:{1,3,5,6}:{(51,1),(52,1),(76,1),(81,1),(107,1)}
        67:{1,4,5,7}:{(52,1),(53,1),(81,1),(82,1)}
        68:{3,4,6,7}:{(53,1),(54,1),(82,1),(84,1)}
        69:{1,3,5,6,7}:{(54,1),(55,1),(83,1),(85,1),(108,1)}
        70:{2,3,5,6,7}:{(54,1),(84,1),(85,1),(109,1),(117,1)}
        71:{2,3,4,6}:{(56,1),(61,1),(86,1),(95,1)}
        72:{2,3,5,7}:{(57,1),(62,1),(86,1),(87,1),(92,1)}
        73:{2,4,6,7}:{(58,1),(87,1),(88,1)}
        74:{3,5,6,7}:{(59,1),(88,1),(92,1)}
        75:{2,4,5,6,7}:{(60,1),(90,1),(100,1)}
        76:{1,2,5,6}:{(61,1),(62,1),(66,1),(86,1)}
        77:{1,2,4,5,7}:{(62,1),(63,1),(67,1),(87,1),(91,1),(92,1),(100,1),(119,1),(124,1)}
        78:{3,4,6,7}:{(63,1),(92,1),(95,1)}
        79:{1,2,4,6}:{(64,1),(65,1),(95,1)}
        80:{3,4,5,7}:{(65,1),(92,1),(95,1)}
        81:{1,4,5,6}:{(66,1),(67,1),(98,1)}
        82:{3,4,5,7}:{(67,1),(68,1),(92,1),(98,1),(100,1)}
        83:{1,3,4,6,7}:{(68,1),(69,1),(99,1),(101,1)}
        84:{2,4,6,7}:{(68,1),(70,1),(100,1)}
        85:{1,2,5,6,7}:{(69,1),(70,1),(101,1),(124,1)}
        86:{2,3,5,6}:{(71,1),(72,1),(76,1),(102,1),(107,1)}
        87:{2,4,5,7}:{(72,1),(73,1),(102,1),(103,1)}
        88:{3,4,6,7}:{(73,1),(74,1),(103,1),(104,1)}
        89:{1,3,5,6,7}:{(74,1),(104,1),(106,1),(108,1),(133,1)}
        90:{2,3,5,6,7}:{(74,1),(75,1),(105,1),(106,1),(109,1)}
        91:{1,2,4,5,6}:{(76,1),(77,1),(79,1),(81,1),(102,1),(107,1),(115,1),(130,1),(134,1)}
        92:{3,5,7}:{(77,1),(78,1),(107,1)}
        93:{1,3,4,6,7}:{(78,1),(104,1),(108,1),(110,1),(111,1),(133,1),(147,1)}
        94:{2,3,4,6,7}:{(78,1),(84,1),(109,1),(110,1),(112,1),(117,1),(139,1)}
        95:{3,4,6}:{(79,1),(80,1),(107,1)}
        96:{1,3,4,5,7}:{(80,1),(108,1),(111,1),(113,1),(147,1),(153,1)}
        97:{2,3,4,5,7}:{(80,1),(109,1),(112,1),(113,1),(139,1),(150,1)}
        98:{3,4,5,6}:{(81,1),(82,1),(107,1),(115,1)}
        99:{1,3,4,5,7}:{(82,1),(83,1),(108,1),(114,1),(116,1),(147,1)}
       100:{2,4,5,7}:{(82,1),(84,1),(109,1),(115,1)}
       101:{1,2,4,6,7}:{(83,1),(84,1),(85,1),(116,1),(117,1)}
       102:{2,4,5,6}:{(86,1),(87,1),(118,1)}
       103:{3,4,5,7}:{(87,1),(88,1),(92,1),(118,1),(119,1)}
       104:{1,4,6,7}:{(88,1),(89,1),(119,1)}
       105:{2,3,4,6,7}:{(88,1),(90,1),(120,1),(121,1)}
       106:{1,2,5,6,7}:{(89,1),(90,1),(121,1),(124,1)}
       107:{3,5,6}:{(91,1),(92,1),(95,1)}
       108:{1,3,5,7}:{(92,1),(93,1),(119,1),(122,1),(124,1)}
       109:{2,3,5,7}:{(92,1),(94,1),(100,1),(123,1),(124,1)}
       110:{1,2,4,6,7}:{(93,1),(94,1),(124,1),(125,1),(126,1),(143,1)}
       111:{1,3,4,6}:{(95,1),(96,1),(122,1),(126,1)}
       112:{2,3,4,6}:{(95,1),(97,1),(123,1),(126,1)}
       113:{1,2,4,5,7}:{(96,1),(97,1),(124,1),(126,1),(127,1),(143,1),(152,1)}
       114:{1,3,4,5,6}:{(98,1),(99,1),(122,1),(128,1),(151,1)}
       115:{2,4,5,6}:{(98,1),(100,1),(123,1)}
       116:{1,2,4,5,7}:{(99,1),(100,1),(101,1),(124,1),(128,1),(129,1),(143,1)}
       117:{2,3,6,7}:{(101,1),(129,1)}
       118:{3,4,5,6}:{(102,1),(103,1),(107,1),(130,1)}
       119:{1,4,5,7}:{(103,1),(104,1),(108,1),(130,1)}
       120:{2,3,4,5,7}:{(103,1),(105,1),(109,1),(131,1),(132,1),(139,1)}
       121:{1,2,4,6,7}:{(104,1),(105,1),(106,1),(132,1),(133,1)}
       122:{1,3,5,6}:{(107,1),(108,1),(111,1),(130,1),(134,1)}
       123:{2,3,5,6}:{(107,1),(109,1),(112,1),(115,1),(134,1)}
       124:{1,2,5,7}:{(108,1),(109,1),(110,1),(134,1)}
       125:{1,2,3,6,7}:{(110,1),(117,1),(133,1),(135,1),(136,1)}
       126:{1,2,4,6}:{(111,1),(112,1),(113,1),(134,1),(136,1)}
       127:{1,2,3,5,7}:{(113,1),(136,1),(137,1),(149,1)}
       128:{1,2,4,5,6}:{(114,1),(115,1),(116,1),(134,1),(138,1),(148,1)}
       129:{2,3,5,7}:{(116,1),(117,1),(138,1),(139,1)}
       130:{1,4,5,6}:{(118,1),(119,1),(122,1)}
       131:{2,3,4,5,6}:{(118,1),(120,1),(123,1),(140,1),(145,1)}
       132:{1,2,4,5,7}:{(119,1),(120,1),(121,1),(124,1),(140,1),(141,1),(143,1)}
       133:{1,3,6,7}:{(121,1),(141,1)}
       134:{1,2,5,6}:{(122,1),(123,1),(124,1),(126,1)}
       135:{1,2,3,5,7}:{(124,1),(125,1),(129,1),(141,1),(142,1),(143,1)}
       136:{1,2,3,6}:{(126,1),(127,1)}
       137:{1,2,3,4,7}:{(127,1),(143,1),(144,1)}
       138:{2,3,5,6}:{(128,1),(129,1),(145,1)}
       139:{2,3,4,7}:{(129,1),(143,1),(145,1)}
       140:{1,2,4,5,6}:{(130,1),(131,1),(132,1),(134,1),(146,1),(148,1)}
       141:{1,3,5,7}:{(132,1),(133,1),(146,1),(147,1)}
       142:{1,2,3,5,6}:{(134,1),(135,1),(136,1),(138,1),(146,1),(148,1),(149,1)}
       143:{1,2,4,7}:{(135,1),(139,1),(147,1),(148,1)}
       144:{1,2,3,4,6}:{(136,1),(137,1),(148,1),(149,1)}
       145:{2,3,4,6}:{(138,1),(139,1),(148,1),(150,1)}
       146:{1,3,5,6}:{(140,1),(141,1),(151,1)}
       147:{1,3,4,7}:{(141,1),(143,1),(151,1)}
       148:{1,2,4,6}:{(142,1),(143,1),(145,1),(151,1),(152,1)}
       149:{1,2,3,5}:{(144,1),(152,1)}
       150:{2,3,4,5}:{(145,1),(152,1)}
       151:{1,3,4,6}:{(146,1),(147,1),(148,1),(153,1)}
       152:{1,2,4,5}:{(148,1),(149,1),(150,1),(153,1)}
       153:{1,3,4,5}:{(151,1),(152,1)}

2132 :   0:{2,3,4,5,7}:{(7,1),(8,1),(10,1),(48,1),(92,1),(110,1),(111,1),(118,1),(148,1),(164,1)}
         1:{2,3,4,6,7}:{(8,1),(9,1),(10,1),(13,1),(58,1),(59,1),(118,1)}
         2:{1,3,5,6,7}:{(11,1),(12,1),(43,1),(54,1),(56,1),(58,1)}
         3:{2,3,5,6,7}:{(10,1),(11,1),(13,1),(14,1),(44,1),(58,1)}
         4:{2,4,5,6,7}:{(13,1),(14,1),(96,1)}
         5:{1,3,4,6,7}:{(20,1),(21,1),(26,1),(31,1),(75,1),(81,1),(86,1),(135,1),(138,1)}
         6:{2,3,4,6,7}:{(20,1),(22,1),(64,1),(70,1),(76,1),(122,1),(127,1),(135,1),(138,1)}
         7:{1,2,4,5,7}:{(0,1),(23,1),(24,1),(27,1),(72,1),(86,1),(133,1),(141,1)}
         8:{2,3,4,6}:{(0,1),(24,1),(25,1),(76,1),(135,1),(136,1),(142,1)}
         9:{1,2,4,6,7}:{(1,1),(24,1),(26,1),(27,1),(86,1)}
        10:{2,3,5,7}:{(1,1),(25,1),(27,1),(29,1),(87,1),(88,1)}
        11:{1,2,5,6,7}:{(2,1),(3,1),(27,1),(30,1),(33,1),(74,1),(88,1)}
        12:{1,4,6,7}:{(2,1),(28,1),(31,1),(75,1),(86,1)}
        13:{2,4,6,7}:{(3,1),(29,1),(32,1),(76,1)}
        14:{3,5,6,7}:{(4,1),(32,1),(33,1),(126,1)}
        15:{1,3,4,5,7}:{(34,1),(35,1),(37,1),(47,1),(49,1),(110,1),(112,1),(113,1),(153,1),(185,1)}
        16:{1,3,4,6,7}:{(35,1),(36,1),(37,1),(39,1),(101,1),(103,1),(153,1)}
        17:{1,3,5,6,7}:{(37,1),(38,1),(39,1),(41,1),(43,1),(101,1)}
        18:{2,3,5,6,7}:{(38,1),(40,1),(44,1),(97,1),(100,1),(101,1)}
        19:{1,4,5,6,7}:{(39,1),(41,1),(52,1)}
        20:{1,2,4,6,7}:{(5,1),(6,1),(45,1),(46,1),(59,1),(103,1),(104,1),(106,1),(109,1)}
        21:{1,3,5,7}:{(5,1),(43,1),(46,1),(47,1),(56,1),(110,1),(113,1)}
        22:{2,3,5,7}:{(6,1),(44,1),(46,1),(48,1),(100,1),(110,1),(148,1)}
        23:{1,3,5,7}:{(7,1),(49,1),(50,1),(110,1),(113,1)}
        24:{1,2,4,6}:{(7,1),(8,1),(50,1),(51,1),(114,1)}
        25:{2,3,5,6}:{(8,1),(10,1),(51,1),(53,1),(115,1),(116,1),(148,1)}
        26:{1,3,6,7}:{(9,1),(50,1),(54,1),(58,1)}
        27:{1,2,5,7}:{(9,1),(10,1),(51,1),(54,1)}
        28:{1,4,5,7}:{(12,1),(52,1),(56,1)}
        29:{2,4,5,7}:{(10,1),(13,1),(53,1),(57,1)}
        30:{1,2,4,6,7}:{(11,1),(12,1),(13,1),(55,1),(58,1),(59,1),(60,1),(106,1),(121,1)}
        31:{3,4,6,7}:{(12,1),(56,1),(58,1),(59,1),(107,1),(118,1)}
        32:{3,4,6,7}:{(13,1),(14,1),(57,1),(58,1),(60,1),(108,1)}
        33:{1,5,6,7}:{(14,1),(60,1),(152,1)}
        34:{1,2,4,5,7}:{(15,1),(61,1),(62,1),(65,1),(72,1),(127,1),(133,1),(169,1)}
        35:{1,3,4,6}:{(15,1),(62,1),(63,1),(75,1),(135,1),(137,1),(170,1)}
        36:{1,2,4,6,7}:{(16,1),(62,1),(64,1),(65,1),(127,1)}
        37:{1,3,5,7}:{(16,1),(63,1),(65,1),(66,1),(128,1),(130,1)}
        38:{1,2,5,6,7}:{(17,1),(18,1),(65,1),(68,1),(71,1),(74,1),(130,1)}
        39:{1,4,6,7}:{(17,1),(66,1),(69,1),(75,1)}
        40:{2,4,6,7}:{(18,1),(67,1),(70,1),(76,1),(127,1)}
        41:{3,5,6,7}:{(19,1),(69,1),(71,1),(84,1)}
        42:{1,2,3,5,7}:{(23,1),(61,1),(72,1),(73,1),(133,1)}
        43:{1,3,5,6}:{(21,1),(74,1),(75,1),(84,1),(135,1)}
        44:{2,3,5,6}:{(22,1),(74,1),(76,1),(126,1),(135,1)}
        45:{1,2,3,6,7}:{(20,1),(26,1),(64,1),(73,1),(77,1),(91,1),(131,1),(135,1),(179,1)}
        46:{1,2,5,7}:{(20,1),(21,1),(22,1),(74,1),(88,1),(130,1),(133,1)}
        47:{1,4,5,7}:{(21,1),(75,1),(79,1),(86,1),(141,1)}
        48:{2,4,5,7}:{(22,1),(76,1),(80,1),(127,1),(169,1)}
        49:{1,3,4,7}:{(23,1),(72,1),(81,1),(86,1),(138,1)}
        50:{1,3,6}:{(23,1),(24,1),(135,1)}
        51:{1,2,5,6}:{(24,1),(25,1),(27,1),(82,1),(133,1)}
        52:{1,4,5,6}:{(28,1),(75,1),(84,1)}
        53:{2,4,5,6}:{(25,1),(29,1),(76,1),(85,1),(169,1)}
        54:{1,3,5,7}:{(26,1),(27,1),(82,1),(86,1),(87,1)}
        55:{1,2,4,5,7}:{(27,1),(28,1),(29,1),(30,1),(83,1),(86,1),(87,1),(88,1),(89,1),(146,1),(147,1)}
        56:{3,5,7}:{(28,1),(31,1),(84,1),(88,1)}
        57:{3,4,5,7}:{(29,1),(32,1),(85,1),(87,1),(89,1)}
        58:{3,6,7}:{(30,1),(87,1),(135,1)}
        59:{2,4,6,7}:{(31,1),(88,1),(91,1),(136,1),(146,1)}
        60:{1,4,6,7}:{(32,1),(33,1),(89,1),(90,1),(137,1)}
        61:{2,3,5,7}:{(34,1),(92,1),(93,1),(110,1),(148,1)}
        62:{1,2,4,6}:{(34,1),(35,1),(93,1),(94,1),(149,1)}
        63:{1,3,5,6}:{(35,1),(37,1),(94,1),(95,1),(113,1),(150,1),(152,1)}
        64:{2,3,6,7}:{(36,1),(93,1),(97,1),(101,1)}
        65:{1,2,5,7}:{(36,1),(37,1),(94,1),(97,1)}
        66:{1,4,5,7}:{(37,1),(39,1),(95,1),(99,1)}
        67:{2,4,5,7}:{(40,1),(96,1),(100,1)}
        68:{1,2,4,6,7}:{(38,1),(39,1),(40,1),(98,1),(101,1),(102,1),(103,1),(106,1),(156,1)}
        69:{3,4,6,7}:{(39,1),(41,1),(99,1),(101,1),(102,1),(107,1)}
        70:{3,4,6,7}:{(40,1),(100,1),(101,1),(103,1),(108,1),(153,1)}
        71:{2,5,6,7}:{(41,1),(102,1),(116,1)}
        72:{1,2,4,7}:{(42,1),(49,1),(92,1),(104,1)}
        73:{1,2,3,6}:{(42,1),(50,1),(93,1),(104,1)}
        74:{1,2,5,6}:{(43,1),(44,1),(46,1),(106,1),(116,1),(152,1)}
        75:{1,4,6}:{(43,1),(47,1),(107,1)}
        76:{2,4,6}:{(44,1),(48,1),(108,1)}
        77:{1,2,3,5,7}:{(45,1),(46,1),(54,1),(97,1),(105,1),(109,1),(110,1),(120,1),(154,1),(163,1),(193,1)}
        78:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(106,1),(109,1),(110,1),(111,1),(112,1),(157,1),(163,1)}
        79:{3,4,5,7}:{(47,1),(56,1),(107,1),(110,1),(111,1),(118,1),(164,1)}
        80:{3,4,5,7}:{(48,1),(100,1),(108,1),(110,1),(112,1),(153,1),(185,1)}
        81:{1,3,4,6}:{(49,1),(50,1),(104,1),(113,1),(114,1),(158,1)}
        82:{1,3,5,6}:{(50,1),(51,1),(54,1),(113,1),(114,1),(115,1)}
        83:{1,2,4,5,6}:{(51,1),(52,1),(53,1),(55,1),(106,1),(114,1),(115,1),(116,1),(117,1),(157,1),(166,1),(167,1)}
        84:{3,5,6}:{(52,1),(56,1),(107,1),(116,1)}
        85:{3,4,5,6}:{(53,1),(57,1),(108,1),(115,1),(117,1),(185,1)}
        86:{1,4,7}:{(54,1),(114,1),(118,1)}
        87:{3,5,7}:{(55,1),(58,1),(115,1),(118,1)}
        88:{2,5,7}:{(56,1),(59,1),(116,1)}
        89:{1,4,5,7}:{(57,1),(60,1),(117,1),(119,1)}
        90:{1,3,6,7}:{(58,1),(60,1),(119,1),(121,1),(159,1)}
        91:{2,3,6,7}:{(58,1),(59,1),(120,1),(121,1),(160,1)}
        92:{2,3,4,7}:{(61,1),(72,1),(122,1),(127,1),(138,1)}
        93:{2,3,6}:{(61,1),(62,1),(135,1)}
        94:{1,2,5,6}:{(62,1),(63,1),(65,1),(123,1),(133,1)}
        95:{1,4,5,6}:{(63,1),(66,1),(75,1),(125,1),(141,1)}
        96:{2,4,5,6}:{(67,1),(76,1),(126,1)}
        97:{2,3,5,7}:{(64,1),(65,1),(123,1),(127,1),(128,1)}
        98:{1,2,4,5,7}:{(65,1),(66,1),(67,1),(68,1),(124,1),(127,1),(128,1),(129,1),(130,1),(173,1),(175,1)}
        99:{3,4,5,7}:{(66,1),(69,1),(125,1),(128,1),(129,1)}
       100:{3,5,7}:{(67,1),(70,1),(126,1),(130,1)}
       101:{3,6,7}:{(68,1),(128,1),(135,1)}
       102:{2,4,6,7}:{(69,1),(71,1),(129,1),(132,1),(136,1)}
       103:{1,4,6,7}:{(70,1),(130,1),(131,1),(137,1),(173,1)}
       104:{1,2,4,6}:{(72,1),(73,1),(81,1),(122,1),(133,1)}
       105:{1,2,3,5,6}:{(73,1),(74,1),(77,1),(82,1),(123,1),(133,1),(134,1),(135,1),(144,1),(171,1),(176,1),(179,1),(200,1),(201,1)}
       106:{1,2,4,6}:{(74,1),(75,1),(76,1),(78,1),(135,1),(136,1),(137,1),(179,1)}
       107:{3,4,6}:{(75,1),(79,1),(84,1),(135,1),(136,1)}
       108:{3,4,6}:{(76,1),(80,1),(126,1),(135,1),(137,1)}
       109:{1,2,4,7}:{(77,1),(86,1),(127,1),(134,1),(138,1),(146,1),(173,1)}
       110:{3,5,7}:{(78,1),(135,1),(138,1),(176,1)}
       111:{2,4,5,7}:{(79,1),(88,1),(136,1),(140,1),(146,1),(182,1)}
       112:{1,4,5,7}:{(80,1),(130,1),(137,1),(139,1),(173,1),(196,1)}
       113:{1,3,5}:{(81,1),(133,1),(141,1),(176,1)}
       114:{1,4,6}:{(82,1),(86,1),(141,1),(142,1)}
       115:{3,5,6}:{(83,1),(87,1),(135,1),(142,1),(176,1)}
       116:{2,5,6}:{(84,1),(88,1),(136,1)}
       117:{1,4,5,6}:{(85,1),(89,1),(137,1),(143,1),(196,1)}
       118:{3,4,7}:{(86,1),(87,1),(142,1),(146,1)}
       119:{1,3,5,7}:{(87,1),(89,1),(90,1),(143,1),(145,1),(147,1)}
       120:{2,3,5,7}:{(87,1),(88,1),(91,1),(144,1),(146,1),(147,1),(184,1)}
       121:{1,2,6,7}:{(90,1),(91,1),(147,1),(179,1)}
       122:{2,3,4,6}:{(92,1),(93,1),(104,1),(148,1),(149,1),(158,1)}
       123:{2,3,5,6}:{(93,1),(94,1),(97,1),(148,1),(149,1),(150,1)}
       124:{1,2,4,5,6}:{(94,1),(95,1),(96,1),(98,1),(106,1),(149,1),(150,1),(151,1),(152,1),(157,1),(186,1),(188,1)}
       125:{3,4,5,6}:{(95,1),(99,1),(107,1),(150,1),(151,1),(164,1)}
       126:{3,5,6}:{(96,1),(100,1),(108,1),(152,1)}
       127:{2,4,7}:{(97,1),(149,1),(153,1)}
       128:{3,5,7}:{(98,1),(101,1),(150,1),(153,1)}
       129:{2,4,5,7}:{(99,1),(102,1),(151,1),(155,1)}
       130:{1,5,7}:{(100,1),(103,1),(152,1)}
       131:{1,3,6,7}:{(101,1),(103,1),(154,1),(156,1),(159,1)}
       132:{2,3,6,7}:{(101,1),(102,1),(155,1),(156,1),(160,1)}
       133:{1,2,5}:{(104,1),(113,1),(148,1)}
       134:{1,2,4,6}:{(105,1),(109,1),(114,1),(149,1),(157,1),(158,1),(166,1),(186,1)}
       135:{3,6}:{(106,1),(110,1)}
       136:{2,4,6}:{(107,1),(111,1),(116,1),(160,1)}
       137:{1,4,6}:{(108,1),(112,1),(152,1),(159,1)}
       138:{3,4,7}:{(109,1),(110,1),(158,1)}
       139:{1,3,5,7}:{(110,1),(112,1),(159,1),(161,1),(163,1),(190,1)}
       140:{2,3,5,7}:{(110,1),(111,1),(160,1),(162,1),(163,1),(191,1)}
       141:{1,4,5}:{(113,1),(114,1),(164,1)}
       142:{3,4,6}:{(114,1),(115,1),(118,1),(164,1),(166,1)}
       143:{1,3,5,6}:{(115,1),(117,1),(119,1),(159,1),(165,1),(167,1),(190,1)}
       144:{2,3,5,6}:{(115,1),(116,1),(120,1),(160,1),(166,1),(167,1),(191,1),(195,1)}
       145:{1,3,4,7}:{(118,1),(119,1),(165,1),(168,1)}
       146:{2,4,7}:{(118,1),(120,1),(166,1)}
       147:{1,2,5,7}:{(119,1),(120,1),(121,1),(167,1),(168,1)}
       148:{2,3,5}:{(122,1),(133,1),(169,1),(176,1)}
       149:{2,4,6}:{(123,1),(127,1),(169,1),(170,1)}
       150:{3,5,6}:{(124,1),(128,1),(135,1),(170,1),(176,1)}
       151:{2,4,5,6}:{(125,1),(129,1),(136,1),(172,1),(182,1)}
       152:{1,5,6}:{(126,1),(130,1),(137,1)}
       153:{3,4,7}:{(127,1),(128,1),(170,1),(173,1)}
       154:{1,3,5,7}:{(128,1),(130,1),(131,1),(171,1),(173,1),(175,1),(199,1)}
       155:{2,3,5,7}:{(128,1),(129,1),(132,1),(172,1),(174,1),(175,1)}
       156:{1,2,6,7}:{(131,1),(132,1),(175,1),(179,1)}
       157:{1,2,4,5}:{(133,1),(134,1),(141,1),(169,1),(176,1),(182,1),(196,1),(200,1)}
       158:{3,4,6}:{(134,1),(135,1),(138,1),(176,1)}
       159:{1,3,6}:{(135,1),(137,1),(139,1),(179,1)}
       160:{2,3,6}:{(135,1),(136,1),(140,1),(179,1)}
       161:{1,3,4,7}:{(138,1),(139,1),(173,1),(177,1),(180,1),(199,1)}
       162:{2,3,4,7}:{(138,1),(140,1),(146,1),(178,1),(180,1),(184,1)}
       163:{1,2,5,7}:{(139,1),(140,1),(179,1),(180,1),(200,1)}
       164:{3,4,5}:{(141,1),(142,1),(176,1),(182,1)}
       165:{1,3,4,6}:{(142,1),(143,1),(145,1),(181,1),(183,1)}
       166:{2,4,6}:{(142,1),(144,1),(146,1),(182,1)}
       167:{1,2,5,6}:{(143,1),(144,1),(147,1),(179,1),(183,1),(200,1)}
       168:{1,2,4,7}:{(145,1),(146,1),(147,1),(183,1),(184,1)}
       169:{2,4,5}:{(148,1),(149,1),(185,1)}
       170:{3,4,6}:{(149,1),(150,1),(153,1),(185,1),(186,1)}
       171:{1,3,5,6}:{(150,1),(152,1),(154,1),(159,1),(186,1),(188,1),(190,1),(204,1)}
       172:{2,3,5,6}:{(150,1),(151,1),(155,1),(160,1),(187,1),(188,1),(191,1)}
       173:{1,4,7}:{(153,1),(154,1),(186,1)}
       174:{2,3,4,7}:{(153,1),(155,1),(187,1),(189,1)}
       175:{1,2,5,7}:{(154,1),(155,1),(156,1),(188,1),(189,1)}
       176:{3,5}:{(157,1),(158,1)}
       177:{1,3,4,6}:{(158,1),(159,1),(161,1),(186,1),(190,1),(192,1),(204,1),(209,1)}
       178:{2,3,4,6}:{(158,1),(160,1),(162,1),(166,1),(191,1),(192,1),(195,1),(206,1)}
       179:{1,2,6}:{(159,1),(160,1),(163,1)}
       180:{1,2,4,7}:{(161,1),(162,1),(163,1),(192,1),(193,1)}
       181:{1,3,4,5}:{(164,1),(165,1),(190,1),(194,1),(209,1)}
       182:{2,4,5}:{(164,1),(166,1),(191,1)}
       183:{1,2,4,6}:{(165,1),(166,1),(167,1),(168,1),(194,1),(195,1)}
       184:{2,3,7}:{(168,1),(195,1)}
       185:{3,4,5}:{(169,1),(170,1),(176,1),(196,1)}
       186:{1,4,6}:{(170,1),(171,1),(173,1),(196,1)}
       187:{2,3,4,6}:{(170,1),(172,1),(174,1),(197,1),(198,1)}
       188:{1,2,5,6}:{(171,1),(172,1),(175,1),(179,1),(198,1),(200,1)}
       189:{1,2,4,7}:{(173,1),(174,1),(175,1),(198,1),(199,1)}
       190:{1,3,5}:{(176,1),(177,1),(196,1),(200,1)}
       191:{2,3,5}:{(176,1),(178,1),(182,1),(200,1)}
       192:{1,2,4,6}:{(177,1),(178,1),(179,1),(180,1),(200,1),(201,1),(208,1)}
       193:{1,2,3,7}:{(180,1),(184,1),(199,1),(201,1)}
       194:{1,2,4,5}:{(181,1),(182,1),(183,1),(200,1),(202,1),(208,1)}
       195:{2,3,6}:{(183,1),(184,1),(202,1)}
       196:{1,4,5}:{(185,1),(186,1),(190,1)}
       197:{2,3,4,5}:{(185,1),(187,1),(191,1),(203,1),(206,1)}
       198:{1,2,4,6}:{(186,1),(187,1),(188,1),(189,1),(203,1),(204,1)}
       199:{1,3,7}:{(189,1),(204,1)}
       200:{1,2,5}:{(190,1),(191,1),(192,1)}
       201:{1,2,3,6}:{(192,1),(193,1),(195,1),(204,1),(205,1)}
       202:{2,3,5}:{(194,1),(195,1),(206,1)}
       203:{1,2,4,5}:{(196,1),(197,1),(198,1),(200,1),(207,1),(208,1)}
       204:{1,3,6}:{(198,1),(199,1),(207,1)}
       205:{1,2,3,5}:{(200,1),(201,1),(202,1),(207,1),(208,1)}
       206:{2,3,4}:{(202,1),(208,1)}
       207:{1,3,5}:{(203,1),(204,1),(209,1)}
       208:{1,2,4}:{(205,1),(206,1),(209,1)}
       209:{1,3,4}:{(207,1),(208,1)}

2133 :   0:{1,3,4,5,6}:{(2,1),(3,1),(34,1),(68,1),(81,1)}
         1:{1,2,3,4,6}:{(4,1),(5,1),(23,1),(24,1)}
         2:{1,2,4,5,6}:{(0,1),(8,1),(9,1),(24,1),(56,1),(61,1)}
         3:{1,3,4,5,7}:{(0,1),(6,1),(9,1),(50,1),(90,1),(103,1)}
         4:{1,2,3,4,7}:{(1,1),(11,1),(40,1)}
         5:{1,2,3,5}:{(1,1),(12,1)}
         6:{1,3,4,6,7}:{(3,1),(15,1),(17,1),(82,1)}
         7:{2,3,4,5}:{(12,1),(18,1)}
         8:{2,3,5,6}:{(2,1),(18,1),(19,1)}
         9:{1,2,4,5,7}:{(2,1),(3,1),(17,1),(19,1),(40,1),(78,1),(83,1)}
        10:{1,2,3,4,6,7}:{(4,1),(21,1),(23,1),(51,1),(54,1),(57,1),(93,1),(98,1),(131,1)}
        11:{1,2,3,5,7}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,2,4,5}:{(5,1),(7,1),(20,1),(24,1)}
        13:{1,2,3,5,6}:{(5,1),(8,1),(23,1),(24,1),(25,1),(49,1),(56,1)}
        14:{3,4,5,6,7}:{(26,1),(27,1),(60,1),(128,1)}
        15:{1,3,5,6,7}:{(6,1),(27,1),(28,1),(60,1),(90,1)}
        16:{2,3,4,5,7}:{(7,1),(22,1),(29,1),(32,1),(53,1),(63,1)}
        17:{1,2,4,6,7}:{(6,1),(9,1),(28,1),(30,1),(62,1)}
        18:{2,3,4,6}:{(7,1),(8,1),(24,1),(32,1)}
        19:{2,3,5,7}:{(8,1),(9,1),(30,1),(32,1)}
        20:{1,3,4,5}:{(12,1),(34,1)}
        21:{1,2,3,5,7}:{(10,1),(35,1),(36,1),(78,1),(118,1),(142,1)}
        22:{1,2,4,5,7}:{(11,1),(12,1),(16,1),(33,1),(37,1),(40,1),(78,1)}
        23:{1,2,3,6}:{(11,1),(37,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(18,1),(34,1),(40,1)}
        25:{1,2,3,5,7}:{(13,1),(19,1),(38,1),(40,1),(70,1),(78,1)}
        26:{2,4,5,6,7}:{(14,1),(41,1),(140,1)}
        27:{1,4,5,6,7}:{(14,1),(15,1),(110,1)}
        28:{1,2,5,6,7}:{(15,1),(17,1),(43,1),(78,1)}
        29:{2,3,4,6}:{(16,1),(37,1),(44,1),(75,1)}
        30:{2,3,6,7}:{(17,1),(19,1)}
        31:{2,3,4,5,6}:{(18,1),(39,1),(44,1),(46,1),(109,1)}
        32:{2,3,4,7}:{(18,1),(19,1),(40,1)}
        33:{1,3,4,5,7}:{(20,1),(22,1),(48,1),(50,1),(53,1),(90,1)}
        34:{1,3,4,6}:{(20,1),(24,1),(49,1),(50,1)}
        35:{1,2,4,5,7}:{(21,1),(53,1),(54,1)}
        36:{1,2,3,5,6}:{(21,1),(23,1),(54,1),(56,1),(93,1),(97,1),(130,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(29,1),(48,1),(56,1)}
        38:{1,2,3,6,7}:{(23,1),(25,1),(30,1),(57,1),(91,1)}
        39:{1,2,4,5,6}:{(24,1),(31,1),(49,1),(56,1),(58,1),(89,1)}
        40:{1,2,4,7}:{(24,1),(25,1),(32,1),(50,1)}
        41:{2,3,5,6,7}:{(26,1),(52,1),(59,1),(60,1),(133,1)}
        42:{1,2,4,5,6,7}:{(26,1),(27,1),(28,1),(59,1),(60,1),(62,1),(99,1),(102,1)}
        43:{2,3,5,6,7}:{(28,1),(30,1),(60,1),(62,1),(63,1)}
        44:{2,3,5,6}:{(29,1),(56,1),(61,1),(63,1),(97,1)}
        45:{2,3,4,6,7}:{(29,1),(30,1),(32,1),(57,1),(62,1),(63,1),(98,1)}
        46:{2,3,4,5,7}:{(31,1),(32,1),(58,1),(63,1),(64,1),(128,1)}
        47:{2,3,4,5,6}:{(66,1),(67,1),(81,1),(116,1),(136,1)}
        48:{1,3,4,6}:{(33,1),(37,1),(68,1),(75,1)}
        49:{1,3,5,6}:{(34,1),(39,1),(70,1)}
        50:{1,3,4,7}:{(34,1),(40,1),(70,1)}
        51:{1,2,3,4,7}:{(65,1),(71,1),(138,1)}
        52:{2,3,4,6,7}:{(41,1),(67,1),(73,1),(82,1)}
        53:{3,4,5,7}:{(35,1),(75,1),(118,1)}
        54:{1,2,4,6}:{(35,1),(36,1),(75,1)}
        55:{1,2,3,5,6,7}:{(36,1),(38,1),(43,1),(77,1),(78,1),(80,1),(111,1),(113,1),(118,1),(142,1),(144,1)}
        56:{1,2,5,6}:{(37,1),(44,1),(68,1),(78,1)}
        57:{1,2,4,6,7}:{(37,1),(38,1),(40,1),(45,1),(69,1),(78,1)}
        58:{1,2,4,5,7}:{(39,1),(40,1),(46,1),(70,1),(78,1),(79,1),(110,1)}
        59:{1,2,5,6,7}:{(41,1),(73,1),(80,1),(142,1)}
        60:{3,5,6,7}:{(42,1),(82,1),(118,1)}
        61:{2,4,5,6}:{(44,1),(81,1),(83,1)}
        62:{2,4,6,7}:{(43,1),(82,1),(83,1)}
        63:{2,3,5,7}:{(44,1),(45,1),(78,1),(83,1),(118,1)}
        64:{2,3,4,6,7}:{(46,1),(79,1),(84,1),(141,1)}
        65:{1,2,3,4,6}:{(51,1),(85,1),(93,1),(123,1)}
        66:{1,2,4,5,6}:{(47,1),(87,1),(88,1),(101,1),(123,1),(130,1)}
        67:{2,3,4,5,7}:{(47,1),(52,1),(88,1),(103,1),(133,1),(146,1)}
        68:{1,3,5,6}:{(48,1),(56,1),(89,1),(90,1),(97,1)}
        69:{1,3,4,6,7}:{(48,1),(50,1),(57,1),(90,1),(91,1),(98,1),(129,1)}
        70:{1,3,5,7}:{(49,1),(50,1),(58,1),(91,1)}
        71:{1,2,3,5,7}:{(51,1),(85,1),(92,1),(93,1)}
        72:{1,3,4,5,7}:{(53,1),(86,1),(92,1),(94,1),(126,1),(132,1)}
        73:{1,2,4,6,7}:{(52,1),(59,1),(88,1),(95,1),(102,1)}
        74:{2,3,4,5,7}:{(53,1),(92,1),(96,1),(122,1),(133,1),(146,1)}
        75:{3,4,6}:{(53,1),(54,1),(97,1)}
        76:{1,2,4,5,6}:{(54,1),(56,1),(61,1),(89,1),(97,1),(99,1),(101,1),(127,1),(130,1)}
        77:{1,2,4,6,7}:{(54,1),(55,1),(62,1),(98,1),(99,1),(102,1),(129,1),(149,1)}
        78:{1,2,5,7}:{(56,1),(57,1),(63,1),(90,1)}
        79:{1,2,4,6,7}:{(58,1),(64,1),(91,1),(100,1),(129,1)}
        80:{1,3,5,6,7}:{(59,1),(60,1),(95,1),(102,1),(132,1)}
        81:{3,4,5,6}:{(61,1),(97,1),(101,1),(103,1)}
        82:{3,4,6,7}:{(60,1),(62,1),(102,1),(103,1)}
        83:{2,4,5,7}:{(61,1),(62,1),(63,1),(103,1)}
        84:{2,3,5,6,7}:{(63,1),(64,1),(100,1),(104,1),(134,1)}
        85:{1,2,3,5}:{(65,1),(105,1)}
        86:{1,3,4,5}:{(105,1),(107,1)}
        87:{1,3,5,6}:{(66,1),(107,1),(108,1)}
        88:{1,2,4,5,7}:{(66,1),(67,1),(73,1),(108,1),(120,1),(138,1),(142,1)}
        89:{1,4,5,6}:{(68,1),(109,1),(110,1)}
        90:{1,3,5,7}:{(68,1),(69,1),(78,1),(110,1),(118,1)}
        91:{1,3,6,7}:{(70,1),(79,1)}
        92:{1,2,4,5,7}:{(71,1),(72,1),(74,1),(105,1),(112,1),(138,1),(142,1)}
        93:{1,2,3,6}:{(71,1),(112,1)}
        94:{1,3,4,6}:{(72,1),(75,1),(112,1),(114,1)}
        95:{1,3,6,7}:{(73,1),(108,1)}
        96:{2,3,4,6}:{(74,1),(75,1),(112,1),(116,1)}
        97:{3,5,6}:{(75,1),(76,1),(118,1)}
        98:{3,4,6,7}:{(75,1),(77,1),(118,1)}
        99:{1,2,4,5,7}:{(76,1),(77,1),(78,1),(83,1),(110,1),(118,1),(120,1),(140,1),(142,1)}
       100:{1,2,5,6,7}:{(78,1),(79,1),(84,1),(111,1)}
       101:{1,4,5,6}:{(81,1),(114,1),(120,1)}
       102:{1,4,6,7}:{(80,1),(82,1),(120,1)}
       103:{3,4,5,7}:{(81,1),(82,1),(83,1),(118,1),(120,1)}
       104:{2,4,5,6,7}:{(83,1),(84,1),(121,1)}
       105:{1,2,4,5}:{(85,1),(86,1),(122,1),(123,1)}
       106:{1,2,3,5,6}:{(85,1),(87,1),(93,1),(123,1),(124,1),(130,1),(145,1)}
       107:{1,3,4,6}:{(86,1),(87,1),(123,1),(126,1)}
       108:{1,3,5,7}:{(87,1),(88,1),(95,1),(126,1)}
       109:{3,4,5,6}:{(89,1),(97,1),(127,1),(128,1)}
       110:{1,4,5,7}:{(89,1),(90,1),(128,1),(129,1)}
       111:{1,3,5,6,7}:{(90,1),(91,1),(100,1),(129,1),(134,1)}
       112:{1,2,4,6}:{(92,1),(93,1),(94,1),(96,1),(130,1)}
       113:{1,2,3,6,7}:{(93,1),(95,1),(124,1),(131,1),(153,1)}
       114:{1,3,5,6}:{(94,1),(97,1),(101,1),(130,1),(132,1)}
       115:{1,3,4,6,7}:{(94,1),(95,1),(98,1),(102,1),(126,1),(131,1),(132,1)}
       116:{2,3,5,6}:{(96,1),(97,1),(127,1),(130,1),(133,1)}
       117:{2,3,4,6,7}:{(96,1),(98,1),(131,1),(133,1),(146,1),(149,1),(153,1)}
       118:{3,5,7}:{(97,1),(98,1),(99,1)}
       119:{1,2,4,5,6,7}:{(99,1),(100,1),(104,1),(129,1),(134,1),(135,1),(149,1),(150,1)}
       120:{1,4,5,7}:{(101,1),(102,1),(103,1),(132,1)}
       121:{3,4,5,6,7}:{(103,1),(104,1),(134,1),(135,1)}
       122:{2,3,4,5}:{(105,1),(136,1)}
       123:{1,2,4,6}:{(105,1),(106,1),(107,1),(136,1),(138,1)}
       124:{1,2,3,5,7}:{(106,1),(108,1),(113,1),(138,1),(142,1),(151,1)}
       125:{1,3,4,5,6}:{(107,1),(109,1),(114,1),(137,1),(139,1)}
       126:{1,3,4,7}:{(107,1),(108,1),(138,1)}
       127:{2,4,5,6}:{(109,1),(116,1),(140,1)}
       128:{3,4,5,7}:{(109,1),(110,1),(118,1),(140,1),(141,1)}
       129:{1,4,6,7}:{(110,1),(111,1),(141,1)}
       130:{1,2,5,6}:{(112,1),(114,1),(116,1),(142,1)}
       131:{1,2,4,6,7}:{(112,1),(113,1),(115,1),(117,1),(138,1),(142,1)}
       132:{1,3,5,7}:{(114,1),(115,1),(118,1),(120,1),(142,1)}
       133:{2,3,5,7}:{(116,1),(117,1),(118,1),(140,1),(142,1)}
       134:{3,5,6,7}:{(118,1),(119,1),(141,1)}
       135:{1,4,5,6,7}:{(120,1),(121,1),(143,1)}
       136:{2,3,4,6}:{(122,1),(123,1),(145,1),(146,1)}
       137:{1,2,4,5,6}:{(123,1),(125,1),(127,1),(130,1),(145,1),(147,1)}
       138:{1,2,4,7}:{(123,1),(124,1),(126,1),(146,1)}
       139:{1,3,4,5,7}:{(125,1),(126,1),(128,1),(132,1),(147,1),(148,1)}
       140:{2,4,5,7}:{(127,1),(128,1),(133,1),(149,1)}
       141:{3,4,6,7}:{(128,1),(129,1),(134,1),(149,1)}
       142:{1,2,5,7}:{(130,1),(131,1),(132,1),(133,1)}
       143:{1,3,5,6,7}:{(132,1),(134,1),(135,1),(148,1),(150,1)}
       144:{2,3,5,6,7}:{(133,1),(134,1),(149,1),(150,1),(153,1)}
       145:{2,3,5,6}:{(136,1),(137,1),(151,1)}
       146:{2,3,4,7}:{(136,1),(138,1),(151,1)}
       147:{1,2,4,5,7}:{(137,1),(138,1),(139,1),(140,1),(142,1),(151,1),(152,1)}
       148:{1,3,4,6,7}:{(139,1),(141,1),(143,1),(152,1)}
       149:{2,4,6,7}:{(140,1),(141,1),(144,1)}
       150:{1,2,5,6,7}:{(142,1),(143,1),(144,1),(152,1)}
       151:{2,3,5,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{1,2,4,6,7}:{(147,1),(148,1),(149,1),(150,1),(153,1)}
       153:{2,3,6,7}:{(151,1),(152,1)}

2134 :   0:{1,3,4,5,6}:{(2,1),(3,1),(34,1),(59,1),(88,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(20,1),(95,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(44,1),(47,1),(75,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(23,1),(74,1),(76,1)}
         4:{1,4,5,6,7}:{(1,1),(10,1),(87,1)}
         5:{2,4,5,6,7}:{(1,1),(9,1),(100,1)}
         6:{1,3,4,6,7}:{(2,1),(10,1),(12,1),(31,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(12,1),(14,1),(35,1),(58,1),(61,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(15,1)}
         9:{2,3,5,6,7}:{(5,1),(17,1),(18,1),(20,1),(93,1)}
        10:{1,3,5,6,7}:{(4,1),(6,1),(19,1),(20,1),(75,1)}
        11:{1,2,4,5,6,7}:{(4,1),(5,1),(18,1),(19,1),(20,1),(42,1),(43,1),(72,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(19,1),(21,1),(43,1)}
        13:{1,2,3,5,6}:{(8,1),(22,1),(23,1),(48,1),(76,1),(77,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(21,1),(24,1)}
        15:{2,3,4,6}:{(8,1),(23,1),(24,1),(25,1)}
        16:{2,3,4,5,6}:{(26,1),(27,1),(59,1),(78,1),(101,1)}
        17:{2,3,4,6,7}:{(9,1),(26,1),(28,1),(31,1)}
        18:{1,2,5,6,7}:{(9,1),(28,1),(29,1),(83,1)}
        19:{1,2,5,6,7}:{(10,1),(12,1),(30,1),(61,1)}
        20:{3,5,6,7}:{(11,1),(31,1),(85,1)}
        21:{2,3,6,7}:{(12,1),(14,1)}
        22:{1,2,3,5,7}:{(13,1),(14,1),(32,1),(35,1),(61,1),(63,1)}
        23:{1,2,4,6}:{(13,1),(15,1),(34,1),(35,1),(36,1)}
        24:{2,3,4,7}:{(14,1),(15,1),(35,1)}
        25:{2,3,4,5}:{(15,1),(36,1)}
        26:{2,3,4,5,7}:{(16,1),(17,1),(38,1),(44,1),(89,1),(93,1)}
        27:{1,2,4,5,6}:{(16,1),(38,1),(39,1),(66,1),(73,1),(94,1)}
        28:{1,2,4,6,7}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        29:{1,3,5,6,7}:{(18,1),(20,1),(40,1),(42,1),(70,1)}
        30:{2,3,5,6,7}:{(19,1),(20,1),(21,1),(43,1),(46,1)}
        31:{3,4,6,7}:{(20,1),(42,1),(43,1),(44,1)}
        32:{1,2,3,6,7}:{(21,1),(22,1),(45,1),(77,1)}
        33:{2,3,4,6,7}:{(21,1),(24,1),(43,1),(45,1),(46,1),(50,1),(71,1)}
        34:{1,3,4,6}:{(23,1),(47,1),(48,1),(77,1)}
        35:{1,2,4,7}:{(22,1),(23,1),(24,1),(47,1)}
        36:{1,2,4,5}:{(23,1),(25,1),(48,1)}
        37:{2,3,4,5,7}:{(24,1),(25,1),(46,1),(49,1),(50,1),(95,1)}
        38:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(52,1),(57,1),(79,1),(83,1)}
        39:{1,3,5,6}:{(27,1),(52,1),(53,1)}
        40:{1,3,6,7}:{(28,1),(52,1)}
        41:{1,2,3,5,6,7}:{(29,1),(30,1),(32,1),(54,1),(56,1),(61,1),(83,1),(85,1),(88,1),(101,1)}
        42:{1,4,6,7}:{(29,1),(31,1),(57,1)}
        43:{2,4,6,7}:{(30,1),(31,1),(58,1)}
        44:{3,4,5,7}:{(31,1),(57,1),(58,1),(59,1),(85,1)}
        45:{1,2,4,6,7}:{(32,1),(33,1),(35,1),(60,1),(61,1),(64,1)}
        46:{2,3,5,7}:{(33,1),(58,1),(61,1),(62,1),(85,1)}
        47:{1,3,4,7}:{(34,1),(35,1),(63,1)}
        48:{1,3,5}:{(34,1),(36,1)}
        49:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(61,1),(63,1),(64,1),(87,1)}
        50:{2,3,4,6}:{(37,1),(62,1),(64,1),(102,1)}
        51:{1,2,3,5,6}:{(39,1),(65,1),(66,1),(90,1),(94,1),(103,1)}
        52:{1,3,5,7}:{(38,1),(39,1),(40,1),(67,1)}
        53:{1,3,4,6}:{(39,1),(66,1),(67,1),(68,1)}
        54:{1,2,3,6,7}:{(40,1),(65,1),(69,1),(103,1)}
        55:{1,3,4,6,7}:{(40,1),(42,1),(67,1),(69,1),(70,1),(71,1),(92,1)}
        56:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(71,1),(72,1),(97,1),(104,1)}
        57:{1,4,5,7}:{(42,1),(44,1),(70,1),(73,1)}
        58:{2,4,5,7}:{(43,1),(44,1),(46,1),(74,1)}
        59:{3,4,5,6}:{(44,1),(73,1),(74,1),(96,1)}
        60:{1,3,4,6,7}:{(45,1),(47,1),(71,1),(75,1),(77,1),(97,1)}
        61:{1,2,5,7}:{(45,1),(46,1),(75,1),(76,1)}
        62:{2,3,5,6}:{(46,1),(50,1),(74,1),(76,1),(96,1)}
        63:{1,3,5,7}:{(47,1),(48,1),(49,1),(77,1)}
        64:{1,2,4,6}:{(49,1),(50,1),(76,1),(77,1),(97,1)}
        65:{1,2,3,5,7}:{(51,1),(52,1),(54,1),(79,1),(83,1),(98,1)}
        66:{1,2,4,6}:{(51,1),(53,1),(78,1),(79,1),(80,1)}
        67:{1,3,4,7}:{(52,1),(53,1),(79,1)}
        68:{1,3,4,5}:{(53,1),(80,1)}
        69:{1,2,4,6,7}:{(54,1),(55,1),(79,1),(82,1),(83,1),(99,1)}
        70:{1,3,5,7}:{(55,1),(57,1),(83,1),(84,1),(85,1)}
        71:{3,4,6,7}:{(56,1),(85,1),(102,1)}
        72:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(61,1),(83,1),(85,1),(86,1),(87,1),(100,1)}
        73:{1,4,5,6}:{(57,1),(59,1),(84,1)}
        74:{2,4,5,6}:{(58,1),(59,1),(62,1)}
        75:{1,3,5,7}:{(60,1),(61,1),(85,1),(87,1),(88,1)}
        76:{1,2,5,6}:{(61,1),(62,1),(64,1),(88,1)}
        77:{1,3,6}:{(63,1),(64,1)}
        78:{2,3,4,6}:{(66,1),(89,1),(90,1),(103,1)}
        79:{1,2,4,7}:{(65,1),(66,1),(67,1),(89,1)}
        80:{1,2,4,5}:{(66,1),(68,1),(90,1)}
        81:{1,3,4,5,7}:{(67,1),(68,1),(70,1),(91,1),(92,1),(95,1)}
        82:{2,3,4,6,7}:{(69,1),(71,1),(89,1),(93,1),(103,1),(104,1)}
        83:{1,2,5,7}:{(69,1),(70,1),(93,1),(94,1)}
        84:{1,3,5,6}:{(70,1),(73,1),(92,1),(94,1),(96,1)}
        85:{3,5,7}:{(71,1),(72,1),(96,1)}
        86:{1,2,4,5,6}:{(72,1),(73,1),(74,1),(76,1),(94,1),(96,1),(97,1),(104,1)}
        87:{1,4,5,7}:{(75,1),(95,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(77,1),(96,1),(97,1)}
        89:{2,3,4,7}:{(78,1),(79,1),(98,1)}
        90:{2,3,5}:{(78,1),(80,1)}
        91:{1,2,4,5,7}:{(79,1),(80,1),(81,1),(83,1),(98,1),(99,1),(100,1)}
        92:{1,3,4,6}:{(81,1),(84,1),(99,1),(102,1)}
        93:{2,3,5,7}:{(82,1),(83,1),(85,1),(100,1),(101,1)}
        94:{1,2,5,6}:{(83,1),(84,1),(99,1),(101,1)}
        95:{3,4,5,7}:{(85,1),(87,1),(100,1),(102,1)}
        96:{3,5,6}:{(85,1),(86,1),(102,1)}
        97:{1,4,6}:{(87,1),(88,1),(102,1)}
        98:{2,3,5,7}:{(89,1),(90,1),(91,1),(103,1)}
        99:{1,2,4,6}:{(91,1),(92,1),(94,1),(103,1),(104,1)}
       100:{2,4,5,7}:{(93,1),(95,1),(104,1)}
       101:{2,3,5,6}:{(93,1),(94,1),(96,1),(103,1),(104,1)}
       102:{3,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       103:{2,3,6}:{(98,1),(99,1)}
       104:{2,4,6}:{(100,1),(101,1),(102,1)}

2135 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(34,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(43,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(33,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(8,1),(20,1),(41,1),(42,1),(43,1),(45,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(20,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(28,1),(29,1),(33,1)}
        8:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(14,1),(47,1),(48,1)}
        9:{3,4,6}:{(5,1),(6,1),(13,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(31,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(32,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(38,1),(39,1),(43,1)}
       13:{3,5,6}:{(7,1),(9,1),(20,1)}
       14:{3,4,6,7}:{(8,1),(9,1),(20,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(21,1),(25,1),(57,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(22,1),(25,1),(57,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(43,1),(58,1),(59,1)}
       18:{3,4,5,6}:{(13,1),(27,1),(28,1),(29,1),(50,1)}
       19:{1,2,4,5,6,7}:{(12,1),(30,1),(47,1),(48,1),(51,1)}
       20:{3,5,7}:{(12,1),(13,1),(14,1)}
       21:{1,3,5,6}:{(13,1),(15,1),(28,1),(31,1),(33,1),(50,1)}
       22:{2,3,5,6}:{(13,1),(16,1),(29,1),(32,1),(33,1),(50,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(31,1),(34,1),(47,1),(60,1),(61,1)}
       24:{2,3,4,6,7}:{(14,1),(16,1),(32,1),(34,1),(48,1),(60,1),(61,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(33,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,4,5,7}:{(18,1),(20,1),(37,1),(38,1),(39,1),(56,1)}
       28:{1,4,5,6}:{(18,1),(21,1),(38,1)}
       29:{2,4,5,6}:{(18,1),(22,1),(39,1)}
       30:{3,5,6,7}:{(19,1),(20,1),(37,1)}
       31:{1,3,5,7}:{(20,1),(21,1),(23,1),(38,1),(43,1),(56,1)}
       32:{2,3,5,7}:{(20,1),(22,1),(24,1),(39,1),(43,1),(56,1)}
       33:{1,2,5,6}:{(21,1),(22,1),(25,1),(43,1)}
       34:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(43,1),(45,1),(58,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(58,1)}
       37:{3,4,6,7}:{(27,1),(30,1),(47,1),(48,1),(60,1)}
       38:{1,4,5,7}:{(27,1),(28,1),(31,1),(47,1)}
       39:{2,4,5,7}:{(27,1),(29,1),(32,1),(48,1)}
       40:{1,2,4,5,6}:{(28,1),(29,1),(33,1),(49,1),(50,1),(53,1)}
       41:{1,3,5,6,7}:{(30,1),(31,1),(47,1),(51,1),(60,1)}
       42:{2,3,5,6,7}:{(30,1),(32,1),(48,1),(51,1),(60,1)}
       43:{1,2,5,7}:{(31,1),(32,1),(33,1),(34,1)}
       44:{1,2,3,5,6}:{(33,1),(35,1),(50,1),(52,1),(53,1),(54,1)}
       45:{1,2,3,6,7}:{(34,1),(35,1),(52,1),(60,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(41,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(42,1)}
       49:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(55,1),(56,1),(58,1)}
       50:{3,5,6}:{(40,1),(56,1),(57,1)}
       51:{1,2,5,6,7}:{(41,1),(42,1),(43,1),(55,1)}
       52:{1,2,3,5,7}:{(43,1),(44,1),(45,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(44,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(51,1),(60,1)}
       56:{3,5,7}:{(49,1),(50,1),(60,1),(61,1)}
       57:{3,4,6}:{(50,1),(53,1),(61,1),(62,1)}
       58:{1,2,4,7}:{(52,1),(53,1),(61,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(57,1),(59,1)}

2136 :   0:{1,2,4,5,6,7}:{(1,1),(8,1),(9,1),(10,1),(22,1),(32,1)}
         1:{3,5,6,7}:{(0,1),(3,1),(41,1),(52,1)}
         2:{1,2,3,5,6,7}:{(6,1),(10,1),(23,1),(33,1),(62,1),(66,1),(67,1),(68,1),(69,1),(71,1),(73,1),(119,1),(122,1),(128,1),(153,1)}
         3:{3,4,6,7}:{(1,1),(7,1),(8,1),(9,1),(33,1),(63,1),(75,1)}
         4:{1,3,5,6,7}:{(1,1),(8,1),(10,1),(26,1),(33,1),(66,1),(73,1)}
         5:{2,3,5,6,7}:{(1,1),(9,1),(10,1),(28,1),(33,1),(67,1),(71,1)}
         6:{1,2,4,6,7}:{(2,1),(12,1),(13,1),(91,1),(92,1),(97,1),(99,1),(145,1),(149,1),(165,1)}
         7:{3,4,5,7}:{(3,1),(16,1),(17,1),(18,1),(52,1)}
         8:{1,4,6,7}:{(3,1),(4,1),(17,1),(91,1),(99,1)}
         9:{2,4,6,7}:{(3,1),(5,1),(18,1),(92,1),(97,1)}
        10:{1,2,5,6,7}:{(4,1),(5,1),(19,1),(46,1),(49,1),(94,1)}
        11:{1,2,4,5,6,7}:{(21,1),(22,1),(60,1),(61,1),(62,1),(118,1)}
        12:{1,2,4,5,7}:{(6,1),(22,1),(23,1),(64,1),(65,1),(68,1),(161,1)}
        13:{3,4,6,7}:{(6,1),(23,1),(33,1),(63,1),(75,1),(119,1),(159,1),(160,1)}
        14:{1,3,4,6,7}:{(8,1),(26,1),(27,1),(33,1),(57,1),(75,1)}
        15:{2,3,4,6,7}:{(9,1),(28,1),(29,1),(33,1),(34,1),(75,1)}
        16:{3,4,5,6}:{(7,1),(30,1),(31,1),(63,1),(74,1),(173,1)}
        17:{1,4,5,7}:{(7,1),(8,1),(26,1),(30,1)}
        18:{2,4,5,7}:{(7,1),(9,1),(28,1),(31,1)}
        19:{1,2,4,6,7}:{(8,1),(9,1),(10,1),(32,1),(33,1),(120,1)}
        20:{2,3,4,5,7}:{(28,1),(34,1),(35,1),(65,1),(75,1),(121,1),(126,1),(130,1),(163,1)}
        21:{3,5,6,7}:{(11,1),(37,1),(41,1),(142,1)}
        22:{1,2,4,5,6}:{(12,1),(41,1),(91,1),(92,1),(94,1)}
        23:{3,5,7}:{(12,1),(13,1),(41,1),(169,1)}
        24:{1,3,4,6,7}:{(13,1),(42,1),(44,1),(50,1),(91,1),(99,1),(108,1),(135,1),(143,1),(144,1),(165,1),(166,1)}
        25:{2,3,4,6,7}:{(13,1),(43,1),(44,1),(47,1),(92,1),(97,1),(103,1),(140,1),(143,1),(144,1),(149,1),(150,1)}
        26:{1,3,5,7}:{(14,1),(17,1),(45,1),(46,1),(52,1)}
        27:{1,2,4,6,7}:{(14,1),(46,1),(47,1),(85,1),(97,1)}
        28:{2,3,5,7}:{(15,1),(18,1),(48,1),(49,1),(52,1)}
        29:{1,2,4,6,7}:{(15,1),(49,1),(50,1),(55,1),(99,1)}
        30:{1,4,5,6}:{(16,1),(17,1),(45,1),(91,1),(174,1)}
        31:{2,4,5,6}:{(16,1),(18,1),(48,1),(92,1),(170,1)}
        32:{1,2,4,5,7}:{(17,1),(18,1),(19,1),(46,1),(49,1),(51,1),(52,1),(97,1),(99,1)}
        33:{3,6,7}:{(19,1),(52,1),(143,1)}
        34:{2,3,4,6}:{(20,1),(48,1),(55,1),(92,1),(100,1),(143,1)}
        35:{1,2,4,5,7}:{(20,1),(49,1),(55,1),(56,1),(99,1),(107,1),(147,1),(151,1)}
        36:{1,3,4,5,7}:{(26,1),(57,1),(58,1),(64,1),(75,1),(121,1),(126,1),(155,1),(172,1)}
        37:{3,4,6,7}:{(21,1),(59,1),(60,1),(61,1),(63,1),(119,1),(159,1)}
        38:{1,3,5,6,7}:{(21,1),(60,1),(62,1),(66,1),(76,1),(119,1),(153,1)}
        39:{2,3,5,6,7}:{(21,1),(61,1),(62,1),(67,1),(109,1),(119,1),(128,1)}
        40:{3,4,5,7}:{(23,1),(63,1),(64,1),(65,1),(75,1),(121,1),(126,1),(159,1),(173,1)}
        41:{3,5,6}:{(22,1),(23,1),(63,1)}
        42:{1,3,5,7}:{(23,1),(24,1),(64,1),(66,1),(68,1),(121,1),(132,1),(172,1)}
        43:{2,3,5,7}:{(23,1),(25,1),(65,1),(67,1),(68,1),(121,1),(157,1),(163,1)}
        44:{1,2,4,6,7}:{(24,1),(25,1),(68,1),(69,1),(120,1),(123,1),(131,1),(156,1)}
        45:{1,3,5,6}:{(26,1),(30,1),(57,1),(70,1),(74,1),(172,1)}
        46:{1,2,5,7}:{(26,1),(27,1),(70,1),(71,1)}
        47:{2,3,6,7}:{(27,1),(33,1),(71,1),(114,1)}
        48:{2,3,5,6}:{(28,1),(31,1),(34,1),(72,1),(74,1),(163,1)}
        49:{1,2,5,7}:{(28,1),(29,1),(72,1),(73,1)}
        50:{1,3,6,7}:{(29,1),(33,1),(73,1),(81,1)}
        51:{1,2,4,5,6}:{(30,1),(31,1),(32,1),(70,1),(72,1),(74,1),(120,1),(124,1),(125,1),(161,1)}
        52:{3,5,7}:{(32,1),(33,1),(74,1),(75,1)}
        53:{1,3,4,6,7}:{(60,1),(76,1),(77,1),(78,1),(119,1),(159,1)}
        54:{1,3,4,5,7}:{(64,1),(76,1),(78,1),(79,1),(82,1),(121,1),(132,1),(159,1),(173,1)}
        55:{1,2,4,6}:{(34,1),(35,1),(72,1),(81,1),(125,1)}
        56:{1,3,5,7}:{(35,1),(81,1),(82,1),(121,1),(132,1)}
        57:{1,3,4,6}:{(36,1),(45,1),(85,1),(91,1),(100,1),(143,1)}
        58:{1,2,4,5,7}:{(36,1),(46,1),(85,1),(86,1),(97,1),(139,1),(146,1),(167,1)}
        59:{3,4,5,7}:{(37,1),(87,1),(88,1),(89,1),(142,1)}
        60:{1,4,6,7}:{(37,1),(38,1),(88,1),(91,1),(165,1)}
        61:{2,4,6,7}:{(37,1),(39,1),(89,1),(92,1),(149,1)}
        62:{1,2,5,6,7}:{(38,1),(39,1),(90,1),(94,1),(102,1),(134,1)}
        63:{3,4,6}:{(40,1),(41,1),(91,1),(92,1),(143,1)}
        64:{1,4,5,7}:{(40,1),(42,1),(91,1),(99,1),(147,1),(165,1),(174,1)}
        65:{2,4,5,7}:{(40,1),(43,1),(92,1),(97,1),(146,1),(149,1),(170,1)}
        66:{1,3,5,6}:{(41,1),(42,1),(91,1),(94,1),(143,1)}
        67:{2,3,5,6}:{(41,1),(43,1),(92,1),(94,1),(143,1)}
        68:{1,2,5,7}:{(42,1),(43,1),(44,1),(94,1),(151,1),(167,1)}
        69:{1,2,3,6,7}:{(44,1),(47,1),(50,1),(95,1),(103,1),(106,1),(135,1),(138,1),(143,1)}
        70:{1,2,5,6}:{(45,1),(46,1),(85,1),(96,1),(167,1)}
        71:{2,3,5,7}:{(46,1),(47,1),(52,1),(96,1),(97,1)}
        72:{1,2,5,6}:{(48,1),(49,1),(55,1),(98,1),(151,1)}
        73:{1,3,5,7}:{(49,1),(50,1),(52,1),(98,1),(99,1)}
        74:{3,5,6}:{(51,1),(52,1),(100,1),(143,1),(169,1)}
        75:{3,4,7}:{(52,1),(97,1),(99,1),(100,1)}
        76:{1,3,5,7}:{(53,1),(88,1),(101,1),(102,1),(142,1)}
        77:{1,2,4,6,7}:{(53,1),(102,1),(103,1),(104,1),(149,1)}
        78:{1,3,4,6}:{(54,1),(91,1),(101,1),(104,1),(143,1),(168,1)}
        79:{1,2,4,5,7}:{(54,1),(102,1),(104,1),(105,1),(107,1),(149,1),(151,1),(170,1)}
        80:{1,2,3,5,7}:{(56,1),(105,1),(106,1),(107,1),(151,1)}
        81:{1,3,6}:{(55,1),(56,1),(143,1)}
        82:{1,3,4,7}:{(56,1),(99,1),(107,1),(108,1),(144,1)}
        83:{2,3,4,6,7}:{(61,1),(109,1),(110,1),(111,1),(119,1),(159,1)}
        84:{2,3,4,5,7}:{(65,1),(109,1),(111,1),(112,1),(115,1),(121,1),(157,1),(159,1),(173,1)}
        85:{1,2,4,6}:{(57,1),(58,1),(70,1),(114,1),(124,1)}
        86:{2,3,5,7}:{(58,1),(114,1),(115,1),(121,1),(157,1)}
        87:{3,4,5,6}:{(59,1),(63,1),(116,1),(117,1),(126,1),(158,1)}
        88:{1,4,5,7}:{(59,1),(60,1),(76,1),(116,1)}
        89:{2,4,5,7}:{(59,1),(61,1),(109,1),(117,1)}
        90:{1,2,4,6,7}:{(60,1),(61,1),(62,1),(118,1),(119,1),(120,1)}
        91:{1,4,6}:{(63,1),(64,1),(66,1)}
        92:{2,4,6}:{(63,1),(65,1),(67,1)}
        93:{1,2,4,5,7}:{(64,1),(65,1),(68,1),(120,1),(121,1),(123,1),(161,1)}
        94:{1,2,5,6}:{(66,1),(67,1),(68,1),(120,1)}
        95:{1,2,3,5,7}:{(68,1),(69,1),(71,1),(73,1),(121,1),(122,1),(123,1),(128,1),(153,1)}
        96:{2,3,5,6}:{(70,1),(71,1),(74,1),(114,1),(124,1),(157,1)}
        97:{2,4,7}:{(71,1),(75,1),(124,1)}
        98:{1,3,5,6}:{(72,1),(73,1),(74,1),(81,1),(125,1),(132,1)}
        99:{1,4,7}:{(73,1),(75,1),(125,1)}
       100:{3,4,6}:{(74,1),(75,1),(124,1),(125,1),(126,1)}
       101:{1,3,5,6}:{(76,1),(78,1),(116,1),(127,1),(132,1),(158,1)}
       102:{1,2,5,7}:{(76,1),(77,1),(127,1),(128,1)}
       103:{2,3,6,7}:{(77,1),(119,1),(128,1),(129,1)}
       104:{1,2,4,6}:{(78,1),(79,1),(127,1),(129,1),(162,1)}
       105:{2,3,5,7}:{(79,1),(121,1),(129,1),(130,1),(163,1)}
       106:{1,2,3,6}:{(80,1),(81,1),(129,1),(131,1)}
       107:{1,2,4,7}:{(80,1),(82,1),(130,1),(131,1)}
       108:{1,3,4,6}:{(81,1),(82,1),(125,1),(131,1),(132,1),(160,1)}
       109:{2,3,5,7}:{(83,1),(89,1),(133,1),(134,1),(142,1)}
       110:{1,2,4,6,7}:{(83,1),(134,1),(135,1),(136,1),(165,1)}
       111:{2,3,4,6}:{(84,1),(92,1),(133,1),(136,1),(143,1),(168,1)}
       112:{1,2,4,5,7}:{(84,1),(134,1),(136,1),(137,1),(139,1),(165,1),(167,1),(174,1)}
       113:{1,2,3,5,7}:{(86,1),(137,1),(138,1),(139,1),(167,1)}
       114:{2,3,6}:{(85,1),(86,1),(143,1)}
       115:{2,3,4,7}:{(86,1),(97,1),(139,1),(140,1),(144,1)}
       116:{1,4,5,6}:{(87,1),(88,1),(91,1),(101,1),(147,1)}
       117:{2,4,5,6}:{(87,1),(89,1),(92,1),(133,1),(146,1)}
       118:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(102,1),(134,1),(141,1),(142,1),(149,1),(165,1)}
       119:{3,6,7}:{(90,1),(142,1),(143,1)}
       120:{1,2,4,6}:{(91,1),(92,1),(93,1),(94,1),(143,1)}
       121:{3,5,7}:{(93,1),(143,1),(144,1),(169,1)}
       122:{1,2,3,5,6}:{(94,1),(95,1),(96,1),(98,1),(106,1),(138,1),(143,1),(145,1),(148,1),(151,1),(164,1),(167,1),(169,1)}
       123:{1,2,4,7}:{(95,1),(97,1),(99,1),(144,1),(145,1),(149,1),(165,1)}
       124:{2,4,6}:{(96,1),(97,1),(100,1),(146,1)}
       125:{1,4,6}:{(98,1),(99,1),(100,1),(147,1)}
       126:{3,4,5}:{(100,1),(146,1),(147,1),(169,1)}
       127:{1,2,5,6}:{(101,1),(102,1),(104,1),(148,1),(151,1)}
       128:{2,3,5,7}:{(102,1),(103,1),(142,1),(148,1),(149,1)}
       129:{2,3,6}:{(104,1),(105,1),(143,1)}
       130:{2,3,4,7}:{(105,1),(107,1),(144,1),(149,1),(150,1)}
       131:{1,2,4,6}:{(106,1),(107,1),(108,1),(150,1),(151,1)}
       132:{1,3,5}:{(108,1),(147,1),(151,1),(169,1)}
       133:{2,3,5,6}:{(109,1),(111,1),(117,1),(152,1),(157,1),(158,1)}
       134:{1,2,5,7}:{(109,1),(110,1),(152,1),(153,1)}
       135:{1,3,6,7}:{(110,1),(119,1),(153,1),(154,1)}
       136:{1,2,4,6}:{(111,1),(112,1),(152,1),(154,1),(171,1)}
       137:{1,3,5,7}:{(112,1),(121,1),(154,1),(155,1),(172,1)}
       138:{1,2,3,6}:{(113,1),(114,1),(154,1),(156,1)}
       139:{1,2,4,7}:{(113,1),(115,1),(155,1),(156,1)}
       140:{2,3,4,6}:{(114,1),(115,1),(124,1),(156,1),(157,1),(160,1)}
       141:{1,2,4,5,6}:{(116,1),(117,1),(118,1),(120,1),(127,1),(152,1),(158,1),(161,1),(162,1),(171,1)}
       142:{3,5,7}:{(118,1),(119,1),(158,1),(159,1)}
       143:{3,6}:{(120,1),(121,1)}
       144:{3,4,7}:{(121,1),(123,1),(160,1)}
       145:{1,2,4,6}:{(122,1),(123,1),(124,1),(125,1),(160,1),(161,1),(162,1),(171,1)}
       146:{2,4,5}:{(124,1),(126,1),(157,1)}
       147:{1,4,5}:{(125,1),(126,1),(132,1)}
       148:{2,3,5,6}:{(127,1),(128,1),(129,1),(158,1),(162,1),(163,1)}
       149:{2,4,7}:{(128,1),(159,1),(162,1)}
       150:{2,3,4,6}:{(129,1),(130,1),(131,1),(160,1),(162,1),(163,1)}
       151:{1,2,5}:{(131,1),(132,1),(163,1)}
       152:{1,2,5,6}:{(133,1),(134,1),(136,1),(164,1),(167,1)}
       153:{1,3,5,7}:{(134,1),(135,1),(142,1),(164,1),(165,1)}
       154:{1,3,6}:{(136,1),(137,1),(143,1)}
       155:{1,3,4,7}:{(137,1),(139,1),(144,1),(165,1),(166,1)}
       156:{1,2,4,6}:{(138,1),(139,1),(140,1),(166,1),(167,1)}
       157:{2,3,5}:{(140,1),(146,1),(167,1),(169,1)}
       158:{3,5,6}:{(141,1),(142,1),(143,1),(168,1),(169,1)}
       159:{3,4,7}:{(142,1),(149,1),(165,1),(168,1)}
       160:{3,4,6}:{(143,1),(144,1),(145,1),(169,1)}
       161:{1,2,4,5}:{(145,1),(146,1),(147,1),(151,1),(167,1),(169,1),(170,1),(174,1)}
       162:{2,4,6}:{(148,1),(149,1),(168,1),(170,1)}
       163:{2,3,5}:{(150,1),(151,1),(169,1),(170,1)}
       164:{1,3,5,6}:{(152,1),(153,1),(154,1),(158,1),(171,1),(172,1)}
       165:{1,4,7}:{(153,1),(159,1),(171,1)}
       166:{1,3,4,6}:{(154,1),(155,1),(156,1),(160,1),(171,1),(172,1)}
       167:{1,2,5}:{(156,1),(157,1),(172,1)}
       168:{3,4,6}:{(158,1),(159,1),(162,1),(171,1),(173,1)}
       169:{3,5}:{(160,1),(161,1)}
       170:{2,4,5}:{(162,1),(163,1),(173,1)}
       171:{1,4,6}:{(164,1),(165,1),(168,1),(174,1)}
       172:{1,3,5}:{(166,1),(167,1),(169,1),(174,1)}
       173:{3,4,5}:{(168,1),(169,1),(170,1),(174,1)}
       174:{1,4,5}:{(171,1),(172,1),(173,1)}

2137 :   0:{3,4,5,6,7}:{(1,1),(2,1),(14,1),(92,1)}
         1:{1,4,5,6,7}:{(0,1),(5,1),(99,1)}
         2:{2,4,5,6,7}:{(0,1),(4,1),(97,1)}
         3:{1,3,4,5,6}:{(7,1),(8,1),(49,1),(50,1),(100,1)}
         4:{2,3,5,6,7}:{(2,1),(10,1),(12,1),(14,1),(88,1)}
         5:{1,3,5,6,7}:{(1,1),(11,1),(13,1),(14,1),(90,1)}
         6:{1,2,4,5,6,7}:{(1,1),(2,1),(12,1),(13,1),(14,1),(32,1),(33,1),(63,1)}
         7:{1,3,4,5,7}:{(3,1),(11,1),(15,1),(34,1),(66,1),(90,1)}
         8:{1,2,4,5,6}:{(3,1),(15,1),(16,1),(36,1),(65,1),(91,1)}
         9:{2,3,4,5,6}:{(17,1),(18,1),(49,1),(70,1),(98,1)}
        10:{2,3,4,6,7}:{(4,1),(17,1),(19,1),(23,1)}
        11:{1,3,4,6,7}:{(5,1),(7,1),(20,1),(23,1)}
        12:{1,2,5,6,7}:{(4,1),(19,1),(21,1),(75,1)}
        13:{1,2,5,6,7}:{(5,1),(20,1),(22,1),(78,1)}
        14:{3,5,6,7}:{(6,1),(23,1),(80,1)}
        15:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(25,1),(48,1),(51,1),(78,1)}
        16:{2,3,5,6}:{(8,1),(25,1),(26,1)}
        17:{2,3,4,5,7}:{(9,1),(10,1),(27,1),(34,1),(84,1),(88,1)}
        18:{1,2,4,5,6}:{(9,1),(27,1),(28,1),(55,1),(64,1),(89,1)}
        19:{1,2,4,6,7}:{(10,1),(12,1),(27,1),(29,1),(32,1)}
        20:{1,2,4,6,7}:{(11,1),(13,1),(15,1),(30,1),(33,1)}
        21:{1,3,5,6,7}:{(12,1),(14,1),(29,1),(32,1),(59,1)}
        22:{2,3,5,6,7}:{(13,1),(14,1),(30,1),(33,1),(61,1)}
        23:{3,4,6,7}:{(14,1),(32,1),(33,1),(34,1)}
        24:{1,2,3,5,6}:{(16,1),(35,1),(36,1),(67,1),(91,1),(94,1)}
        25:{2,3,5,7}:{(15,1),(16,1),(30,1),(37,1)}
        26:{2,3,4,6}:{(16,1),(36,1),(37,1),(38,1)}
        27:{1,2,4,5,7}:{(17,1),(18,1),(19,1),(40,1),(47,1),(71,1),(75,1)}
        28:{1,3,5,6}:{(18,1),(40,1),(41,1)}
        29:{1,3,6,7}:{(19,1),(40,1)}
        30:{2,3,6,7}:{(20,1),(25,1)}
        31:{1,2,3,5,6,7}:{(21,1),(22,1),(42,1),(44,1),(46,1),(75,1),(78,1),(80,1),(98,1),(100,1)}
        32:{1,4,6,7}:{(21,1),(23,1),(47,1)}
        33:{2,4,6,7}:{(22,1),(23,1),(48,1)}
        34:{3,4,5,7}:{(23,1),(47,1),(48,1),(49,1),(80,1)}
        35:{1,2,3,5,7}:{(24,1),(25,1),(44,1),(51,1),(78,1),(82,1)}
        36:{1,2,4,6}:{(24,1),(26,1),(50,1),(51,1),(52,1)}
        37:{2,3,4,7}:{(25,1),(26,1),(51,1)}
        38:{2,3,4,5}:{(26,1),(52,1)}
        39:{1,2,3,5,6}:{(28,1),(54,1),(55,1),(85,1),(89,1),(102,1)}
        40:{1,3,5,7}:{(27,1),(28,1),(29,1),(56,1)}
        41:{1,3,4,6}:{(28,1),(55,1),(56,1),(57,1)}
        42:{1,2,3,6,7}:{(29,1),(54,1),(58,1),(102,1)}
        43:{1,3,4,6,7}:{(29,1),(32,1),(56,1),(58,1),(59,1),(62,1),(87,1)}
        44:{1,2,3,6,7}:{(30,1),(35,1),(60,1),(94,1)}
        45:{2,3,4,6,7}:{(30,1),(33,1),(37,1),(60,1),(61,1),(62,1),(69,1)}
        46:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(62,1),(63,1),(103,1),(104,1)}
        47:{1,4,5,7}:{(32,1),(34,1),(59,1),(64,1)}
        48:{2,4,5,7}:{(33,1),(34,1),(61,1),(65,1)}
        49:{3,4,5,6}:{(34,1),(64,1),(65,1),(93,1)}
        50:{1,3,4,6}:{(36,1),(66,1),(67,1),(94,1)}
        51:{1,2,4,7}:{(35,1),(36,1),(37,1),(66,1)}
        52:{1,2,4,5}:{(36,1),(38,1),(67,1)}
        53:{2,3,4,5,7}:{(37,1),(38,1),(61,1),(68,1),(69,1),(92,1)}
        54:{1,2,3,5,7}:{(39,1),(40,1),(42,1),(71,1),(75,1),(95,1)}
        55:{1,2,4,6}:{(39,1),(41,1),(70,1),(71,1),(72,1)}
        56:{1,3,4,7}:{(40,1),(41,1),(71,1)}
        57:{1,3,4,5}:{(41,1),(72,1)}
        58:{1,2,4,6,7}:{(42,1),(43,1),(71,1),(74,1),(75,1),(96,1)}
        59:{1,3,5,7}:{(43,1),(47,1),(75,1),(76,1),(80,1)}
        60:{1,2,4,6,7}:{(44,1),(45,1),(51,1),(77,1),(78,1),(83,1)}
        61:{2,3,5,7}:{(45,1),(48,1),(78,1),(79,1),(80,1)}
        62:{3,4,6,7}:{(46,1),(80,1),(101,1)}
        63:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(75,1),(78,1),(80,1),(81,1),(97,1),(99,1)}
        64:{1,4,5,6}:{(47,1),(49,1),(76,1)}
        65:{2,4,5,6}:{(48,1),(49,1),(79,1)}
        66:{1,3,4,7}:{(50,1),(51,1),(82,1)}
        67:{1,3,5}:{(50,1),(52,1)}
        68:{1,2,4,5,7}:{(51,1),(52,1),(53,1),(78,1),(82,1),(83,1),(99,1)}
        69:{2,3,4,6}:{(53,1),(79,1),(83,1),(101,1)}
        70:{2,3,4,6}:{(55,1),(84,1),(85,1),(102,1)}
        71:{1,2,4,7}:{(54,1),(55,1),(56,1),(84,1)}
        72:{1,2,4,5}:{(55,1),(57,1),(85,1)}
        73:{1,3,4,5,7}:{(56,1),(57,1),(59,1),(86,1),(87,1),(92,1)}
        74:{2,3,4,6,7}:{(58,1),(62,1),(84,1),(88,1),(102,1),(103,1)}
        75:{1,2,5,7}:{(58,1),(59,1),(88,1),(89,1)}
        76:{1,3,5,6}:{(59,1),(64,1),(87,1),(89,1),(93,1)}
        77:{1,3,4,6,7}:{(60,1),(62,1),(66,1),(90,1),(94,1),(104,1)}
        78:{1,2,5,7}:{(60,1),(61,1),(90,1),(91,1)}
        79:{2,3,5,6}:{(61,1),(65,1),(69,1),(91,1),(93,1)}
        80:{3,5,7}:{(62,1),(63,1),(93,1)}
        81:{1,2,4,5,6}:{(63,1),(64,1),(65,1),(89,1),(91,1),(93,1),(103,1),(104,1)}
        82:{1,3,5,7}:{(66,1),(67,1),(68,1),(94,1)}
        83:{1,2,4,6}:{(68,1),(69,1),(91,1),(94,1),(104,1)}
        84:{2,3,4,7}:{(70,1),(71,1),(95,1)}
        85:{2,3,5}:{(70,1),(72,1)}
        86:{1,2,4,5,7}:{(71,1),(72,1),(73,1),(75,1),(95,1),(96,1),(97,1)}
        87:{1,3,4,6}:{(73,1),(76,1),(96,1),(101,1)}
        88:{2,3,5,7}:{(74,1),(75,1),(80,1),(97,1),(98,1)}
        89:{1,2,5,6}:{(75,1),(76,1),(96,1),(98,1)}
        90:{1,3,5,7}:{(77,1),(78,1),(80,1),(99,1),(100,1)}
        91:{1,2,5,6}:{(78,1),(79,1),(83,1),(100,1)}
        92:{3,4,5,7}:{(80,1),(97,1),(99,1),(101,1)}
        93:{3,5,6}:{(80,1),(81,1),(101,1)}
        94:{1,3,6}:{(82,1),(83,1)}
        95:{2,3,5,7}:{(84,1),(85,1),(86,1),(102,1)}
        96:{1,2,4,6}:{(86,1),(87,1),(89,1),(102,1),(103,1)}
        97:{2,4,5,7}:{(88,1),(92,1),(103,1)}
        98:{2,3,5,6}:{(88,1),(89,1),(93,1),(102,1),(103,1)}
        99:{1,4,5,7}:{(90,1),(92,1),(104,1)}
       100:{1,3,5,6}:{(90,1),(91,1),(93,1),(94,1),(104,1)}
       101:{3,4,6}:{(92,1),(93,1),(103,1),(104,1)}
       102:{2,3,6}:{(95,1),(96,1)}
       103:{2,4,6}:{(97,1),(98,1),(101,1)}
       104:{1,4,6}:{(99,1),(100,1),(101,1)}

2138 :  0:{1,2,3,4,7}:{(1,1),(2,1),(31,1),(54,1)}
        1:{1,2,3,4,6}:{(0,1),(4,1),(6,1),(16,1),(18,1),(39,1)}
        2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        3:{2,3,4,5,7}:{(5,1),(7,1),(17,1),(23,1),(43,1)}
        4:{1,2,3,5}:{(1,1),(9,1)}
        5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(11,1),(31,1),(32,1)}
        6:{1,2,3,6}:{(2,1),(11,1)}
        7:{2,3,4,6}:{(3,1),(11,1),(13,1),(29,1)}
        8:{1,3,4,5,7}:{(5,1),(15,1),(17,1),(37,1),(43,1)}
        9:{1,2,4,5}:{(4,1),(17,1),(18,1)}
       10:{1,2,3,5,6}:{(4,1),(6,1),(18,1),(19,1),(20,1),(39,1),(42,1),(67,1)}
       11:{1,2,4,6}:{(5,1),(6,1),(7,1),(15,1),(20,1)}
       12:{1,2,3,6,7}:{(6,1),(19,1),(21,1),(71,1),(82,1)}
       13:{2,3,5,6}:{(7,1),(20,1),(22,1),(23,1),(42,1)}
       14:{2,3,4,6,7}:{(7,1),(21,1),(23,1),(43,1),(48,1),(71,1)}
       15:{1,3,4,6}:{(8,1),(11,1),(24,1),(29,1)}
       16:{1,2,3,4}:{(26,1)}
       17:{3,4,5}:{(9,1),(29,1)}
       18:{1,2,4,6}:{(9,1),(10,1),(29,1),(31,1)}
       19:{1,2,3,5,7}:{(10,1),(12,1),(31,1),(32,1),(54,1),(59,1),(77,1)}
       20:{1,2,5,6}:{(11,1),(13,1),(24,1),(32,1)}
       21:{1,2,4,6,7}:{(11,1),(12,1),(14,1),(25,1),(31,1),(32,1)}
       22:{2,4,5,6}:{(13,1),(33,1),(34,1)}
       23:{2,3,5,7}:{(13,1),(14,1),(32,1),(34,1),(59,1)}
       24:{1,3,5,6}:{(15,1),(20,1),(36,1),(37,1),(42,1)}
       25:{1,3,4,6,7}:{(15,1),(21,1),(37,1),(43,1),(66,1),(71,1)}
       26:{1,2,3,5}:{(16,1),(38,1),(39,1)}
       27:{1,3,4,5}:{(17,1),(38,1),(40,1)}
       28:{2,3,4,5}:{(17,1),(38,1),(41,1)}
       29:{3,4,6}:{(17,1),(18,1),(42,1),(43,1)}
       30:{1,2,4,5,6}:{(18,1),(20,1),(22,1),(36,1),(42,1),(44,1),(46,1),(64,1),(67,1)}
       31:{1,2,4,7}:{(18,1),(19,1),(43,1)}
       32:{1,2,5,7}:{(20,1),(21,1),(23,1),(37,1)}
       33:{3,4,5,6}:{(22,1),(42,1),(46,1),(47,1)}
       34:{2,4,5,7}:{(22,1),(23,1),(47,1),(48,1)}
       35:{2,3,5,6,7}:{(23,1),(45,1),(48,1),(63,1),(71,1)}
       36:{1,4,5,6}:{(24,1),(50,1),(51,1)}
       37:{1,3,5,7}:{(24,1),(25,1),(32,1),(51,1),(59,1)}
       38:{1,2,4,5}:{(26,1),(27,1),(28,1),(53,1)}
       39:{1,2,3,6}:{(26,1),(53,1),(54,1)}
       40:{1,3,4,6}:{(27,1),(29,1),(53,1),(55,1),(56,1)}
       41:{2,3,4,6}:{(28,1),(29,1),(53,1),(57,1),(58,1)}
       42:{3,5,6}:{(29,1),(30,1),(59,1)}
       43:{3,4,7}:{(29,1),(31,1),(59,1)}
       44:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(34,1),(51,1),(59,1),(60,1),(61,1),(75,1),(77,1)}
       45:{1,2,5,6,7}:{(32,1),(35,1),(52,1),(60,1),(73,1),(83,1)}
       46:{1,4,5,6}:{(33,1),(55,1),(61,1)}
       47:{3,4,5,7}:{(33,1),(34,1),(59,1),(61,1),(62,1)}
       48:{2,4,6,7}:{(34,1),(35,1),(62,1)}
       49:{2,4,5,6,7}:{(48,1),(63,1)}
       50:{3,4,5,6}:{(36,1),(42,1),(64,1),(65,1)}
       51:{1,4,5,7}:{(36,1),(37,1),(65,1),(66,1)}
       52:{1,3,5,6,7}:{(37,1),(45,1),(66,1),(71,1),(80,1)}
       53:{1,2,4,6}:{(38,1),(39,1),(40,1),(41,1),(67,1),(68,1)}
       54:{1,2,3,7}:{(39,1),(68,1)}
       55:{1,3,5,6}:{(40,1),(42,1),(46,1),(67,1),(69,1)}
       56:{1,3,4,7}:{(40,1),(43,1),(68,1),(69,1)}
       57:{2,3,5,6}:{(41,1),(42,1),(64,1),(67,1),(70,1)}
       58:{2,3,4,7}:{(41,1),(43,1),(68,1),(70,1)}
       59:{3,5,7}:{(42,1),(43,1),(44,1),(71,1)}
       60:{1,2,4,6,7}:{(44,1),(45,1),(48,1),(66,1),(71,1),(72,1),(81,1),(82,1)}
       61:{1,4,5,7}:{(46,1),(47,1),(69,1),(72,1)}
       62:{3,4,6,7}:{(47,1),(48,1),(63,1),(71,1),(72,1)}
       63:{3,5,6,7}:{(49,1),(62,1),(73,1)}
       64:{2,4,5,6}:{(50,1),(57,1),(75,1)}
       65:{3,4,5,7}:{(50,1),(51,1),(59,1),(75,1),(76,1)}
       66:{1,4,6,7}:{(51,1),(52,1),(76,1)}
       67:{1,2,5,6}:{(53,1),(55,1),(57,1),(77,1)}
       68:{1,2,4,7}:{(53,1),(54,1),(56,1),(58,1),(77,1)}
       69:{1,3,5,7}:{(55,1),(56,1),(59,1),(61,1),(77,1),(78,1)}
       70:{2,3,5,7}:{(57,1),(58,1),(59,1),(75,1),(77,1),(79,1)}
       71:{3,6,7}:{(59,1),(60,1)}
       72:{1,4,6,7}:{(61,1),(62,1),(73,1),(78,1)}
       73:{1,5,6,7}:{(63,1),(72,1)}
       74:{1,4,5,6,7}:{(66,1),(80,1)}
       75:{2,4,5,7}:{(64,1),(65,1),(70,1),(81,1)}
       76:{3,4,6,7}:{(65,1),(66,1),(71,1),(80,1),(81,1)}
       77:{1,2,5,7}:{(67,1),(68,1),(69,1),(70,1),(82,1)}
       78:{1,3,6,7}:{(69,1),(71,1),(72,1),(82,1)}
       79:{2,3,6,7}:{(70,1),(71,1),(81,1),(82,1)}
       80:{3,5,6,7}:{(74,1),(76,1),(83,1)}
       81:{2,4,6,7}:{(75,1),(76,1),(79,1),(83,1)}
       82:{1,2,6,7}:{(77,1),(78,1),(79,1)}
       83:{2,5,6,7}:{(80,1),(81,1)}

2139 :   0:{1,2,3,4}:{(2,1)}
         1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(6,1),(8,1),(22,1),(25,1),(27,1)}
         2:{1,2,3,5}:{(0,1),(7,1),(8,1)}
         3:{2,3,4,5}:{(7,1),(9,1),(26,1)}
         4:{1,2,3,4}:{(10,1)}
         5:{1,2,3,4,7}:{(1,1),(12,1),(18,1),(38,1),(47,1)}
         6:{1,2,3,5}:{(1,1),(13,1)}
         7:{1,2,4,5}:{(2,1),(3,1),(16,1),(17,1)}
         8:{1,2,3,6}:{(2,1),(17,1),(18,1)}
         9:{2,3,4,6}:{(3,1),(17,1),(19,1),(20,1),(45,1)}
        10:{1,2,3,5}:{(4,1),(21,1),(22,1)}
        11:{1,3,4,5}:{(21,1),(23,1),(26,1)}
        12:{1,2,3,5,7}:{(5,1),(6,1),(24,1),(25,1)}
        13:{1,2,4,5}:{(6,1),(26,1),(27,1)}
        14:{1,2,3,5,6}:{(6,1),(8,1),(22,1),(25,1),(27,1),(28,1),(33,1),(56,1),(60,1),(63,1)}
        15:{3,4,5,6}:{(29,1),(30,1),(31,1),(63,1),(88,1)}
        16:{1,3,4,5}:{(7,1),(26,1),(32,1)}
        17:{1,2,4,6}:{(7,1),(8,1),(9,1),(32,1),(33,1),(34,1)}
        18:{1,2,3,7}:{(8,1),(34,1)}
        19:{2,3,5,6}:{(9,1),(30,1),(33,1),(35,1),(63,1)}
        20:{2,3,4,7}:{(9,1),(34,1),(35,1),(64,1)}
        21:{1,2,4,5}:{(10,1),(11,1),(36,1),(37,1)}
        22:{1,2,3,6}:{(10,1),(37,1),(38,1)}
        23:{1,3,4,6}:{(11,1),(37,1),(39,1),(40,1),(45,1)}
        24:{1,2,4,5,7}:{(12,1),(13,1),(41,1),(42,1),(47,1),(77,1)}
        25:{1,2,3,6}:{(12,1),(42,1)}
        26:{3,4,5}:{(13,1),(45,1)}
        27:{1,2,4,6}:{(13,1),(14,1),(45,1),(47,1)}
        28:{1,2,3,5,7}:{(14,1),(18,1),(38,1),(43,1),(47,1),(53,1),(73,1),(77,1),(81,1)}
        29:{1,4,5,6}:{(15,1),(39,1),(48,1)}
        30:{2,4,5,6}:{(15,1),(19,1),(49,1)}
        31:{3,4,5,7}:{(15,1),(48,1),(49,1),(50,1),(81,1),(96,1)}
        32:{1,3,4,6}:{(16,1),(17,1),(45,1),(51,1),(52,1)}
        33:{1,2,5,6}:{(17,1),(19,1),(51,1),(53,1)}
        34:{1,2,4,7}:{(17,1),(18,1),(20,1),(52,1),(53,1)}
        35:{2,3,5,7}:{(19,1),(20,1),(49,1),(53,1),(54,1),(81,1)}
        36:{2,3,4,5}:{(21,1),(26,1),(55,1)}
        37:{1,2,4,6}:{(21,1),(22,1),(23,1),(55,1),(56,1),(57,1)}
        38:{1,2,3,7}:{(22,1),(57,1)}
        39:{1,3,5,6}:{(23,1),(29,1),(56,1),(58,1),(63,1)}
        40:{1,3,4,7}:{(23,1),(57,1),(58,1),(64,1)}
        41:{3,4,5,7}:{(24,1),(26,1),(59,1),(64,1),(89,1)}
        42:{1,2,4,6}:{(24,1),(25,1),(59,1),(60,1)}
        43:{1,2,3,6,7}:{(25,1),(28,1),(61,1),(70,1),(87,1),(92,1)}
        44:{4,5,6,7}:{(62,1),(101,1)}
        45:{3,4,6}:{(26,1),(27,1),(63,1),(64,1)}
        46:{1,2,4,5,6}:{(27,1),(29,1),(30,1),(33,1),(56,1),(60,1),(63,1),(65,1),(68,1),(85,1),(88,1)}
        47:{1,2,4,7}:{(27,1),(28,1),(64,1)}
        48:{1,4,5,7}:{(29,1),(31,1),(58,1),(66,1)}
        49:{2,4,5,7}:{(30,1),(31,1),(35,1),(67,1)}
        50:{3,4,6,7}:{(31,1),(62,1),(66,1),(67,1),(92,1),(101,1)}
        51:{1,3,5,6}:{(32,1),(33,1),(63,1),(68,1),(69,1)}
        52:{1,3,4,7}:{(32,1),(34,1),(64,1),(69,1)}
        53:{1,2,5,7}:{(33,1),(34,1),(35,1),(69,1),(70,1)}
        54:{2,3,6,7}:{(35,1),(67,1),(70,1),(92,1)}
        55:{2,3,4,6}:{(36,1),(37,1),(45,1),(71,1),(72,1)}
        56:{1,2,5,6}:{(37,1),(39,1),(71,1),(73,1)}
        57:{1,2,4,7}:{(37,1),(38,1),(40,1),(72,1),(73,1)}
        58:{1,3,5,7}:{(39,1),(40,1),(48,1),(73,1),(74,1),(81,1)}
        59:{3,4,6}:{(41,1),(42,1),(75,1)}
        60:{1,2,5,6}:{(42,1),(75,1),(77,1)}
        61:{1,2,4,6,7}:{(42,1),(43,1),(47,1),(76,1),(77,1)}
        62:{3,5,6,7}:{(44,1),(50,1),(78,1),(79,1)}
        63:{3,5,6}:{(45,1),(46,1),(81,1)}
        64:{3,4,7}:{(45,1),(47,1),(81,1)}
        65:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(49,1),(53,1),(73,1),(77,1),(81,1),(82,1),(83,1),(94,1),(96,1)}
        66:{1,4,6,7}:{(48,1),(50,1),(74,1),(78,1)}
        67:{2,4,6,7}:{(49,1),(50,1),(54,1),(79,1)}
        68:{1,4,5,6}:{(51,1),(80,1),(83,1)}
        69:{1,3,5,7}:{(51,1),(52,1),(53,1),(81,1),(83,1),(84,1)}
        70:{1,2,6,7}:{(53,1),(54,1),(84,1)}
        71:{2,3,5,6}:{(55,1),(56,1),(63,1),(85,1),(86,1)}
        72:{2,3,4,7}:{(55,1),(57,1),(64,1),(86,1)}
        73:{1,2,5,7}:{(56,1),(57,1),(58,1),(86,1),(87,1)}
        74:{1,3,6,7}:{(58,1),(66,1),(87,1),(92,1)}
        75:{3,5,6}:{(59,1),(60,1),(88,1),(89,1)}
        76:{3,4,6,7}:{(59,1),(61,1),(64,1),(89,1),(92,1),(101,1)}
        77:{1,2,5,7}:{(60,1),(61,1),(89,1)}
        78:{1,5,6,7}:{(62,1),(66,1)}
        79:{2,5,6,7}:{(62,1),(67,1)}
        80:{3,4,5,6}:{(63,1),(68,1),(85,1),(88,1),(91,1)}
        81:{3,5,7}:{(63,1),(64,1),(65,1),(92,1)}
        82:{1,2,4,6,7}:{(65,1),(66,1),(67,1),(70,1),(87,1),(90,1),(92,1),(93,1),(100,1),(101,1)}
        83:{1,4,5,7}:{(68,1),(69,1),(91,1),(93,1)}
        84:{1,3,6,7}:{(69,1),(70,1),(92,1),(93,1)}
        85:{2,4,5,6}:{(71,1),(80,1),(94,1)}
        86:{2,3,5,7}:{(71,1),(72,1),(73,1),(81,1),(94,1),(95,1)}
        87:{1,2,6,7}:{(73,1),(74,1),(95,1)}
        88:{4,5,6}:{(75,1),(96,1)}
        89:{3,5,7}:{(75,1),(76,1),(77,1),(96,1)}
        90:{1,2,5,6,7}:{(77,1),(78,1),(79,1),(82,1),(97,1),(99,1),(103,1)}
        91:{3,4,5,7}:{(80,1),(81,1),(83,1),(94,1),(96,1),(98,1)}
        92:{3,6,7}:{(81,1),(82,1)}
        93:{1,4,6,7}:{(83,1),(84,1),(98,1),(99,1)}
        94:{2,4,5,7}:{(85,1),(86,1),(91,1),(100,1)}
        95:{2,3,6,7}:{(86,1),(87,1),(92,1),(100,1)}
        96:{4,5,7}:{(88,1),(89,1),(101,1)}
        97:{3,5,6,7}:{(89,1),(90,1),(92,1),(101,1)}
        98:{3,4,6,7}:{(91,1),(92,1),(93,1),(100,1),(101,1),(102,1)}
        99:{1,5,6,7}:{(93,1),(102,1)}
       100:{2,4,6,7}:{(94,1),(95,1),(98,1),(103,1)}
       101:{4,6,7}:{(96,1),(97,1)}
       102:{3,5,6,7}:{(98,1),(99,1),(103,1),(104,1)}
       103:{2,5,6,7}:{(100,1),(102,1)}
       104:{4,5,6,7}:{(101,1),(102,1)}

2140 :   0:{3,4,5,6,7}:{(1,1),(2,1),(16,1),(94,1)}
         1:{1,4,5,6,7}:{(0,1),(5,1),(98,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(100,1)}
         3:{1,3,4,5,6}:{(8,1),(10,1),(53,1),(58,1),(99,1)}
         4:{2,3,4,5,6}:{(9,1),(11,1),(53,1),(60,1),(101,1)}
         5:{1,3,5,6,7}:{(1,1),(12,1),(14,1),(16,1),(90,1)}
         6:{2,3,5,6,7}:{(2,1),(13,1),(15,1),(16,1),(92,1)}
         7:{1,2,4,5,6,7}:{(1,1),(2,1),(14,1),(15,1),(16,1),(35,1),(36,1),(67,1)}
         8:{1,3,4,5,7}:{(3,1),(12,1),(17,1),(37,1),(70,1),(90,1)}
         9:{2,3,4,5,7}:{(4,1),(13,1),(18,1),(37,1),(73,1),(92,1)}
        10:{1,2,4,5,6}:{(3,1),(17,1),(19,1),(42,1),(68,1),(91,1)}
        11:{1,2,4,5,6}:{(4,1),(18,1),(20,1),(44,1),(69,1),(93,1)}
        12:{1,3,4,6,7}:{(5,1),(8,1),(21,1),(25,1)}
        13:{2,3,4,6,7}:{(6,1),(9,1),(22,1),(25,1)}
        14:{1,2,5,6,7}:{(5,1),(21,1),(23,1),(79,1)}
        15:{1,2,5,6,7}:{(6,1),(22,1),(24,1),(82,1)}
        16:{3,5,6,7}:{(7,1),(25,1),(84,1)}
        17:{1,2,4,5,7}:{(8,1),(10,1),(21,1),(26,1),(51,1),(54,1),(79,1)}
        18:{1,2,4,5,7}:{(9,1),(11,1),(22,1),(27,1),(52,1),(56,1),(82,1)}
        19:{2,3,5,6}:{(10,1),(26,1),(29,1)}
        20:{1,3,5,6}:{(11,1),(27,1),(31,1)}
        21:{1,2,4,6,7}:{(12,1),(14,1),(17,1),(32,1),(35,1)}
        22:{1,2,4,6,7}:{(13,1),(15,1),(18,1),(33,1),(36,1)}
        23:{2,3,5,6,7}:{(14,1),(16,1),(32,1),(35,1),(63,1)}
        24:{1,3,5,6,7}:{(15,1),(16,1),(33,1),(36,1),(65,1)}
        25:{3,4,6,7}:{(16,1),(35,1),(36,1),(37,1)}
        26:{2,3,5,7}:{(17,1),(19,1),(32,1),(39,1)}
        27:{1,3,5,7}:{(18,1),(20,1),(33,1),(41,1)}
        28:{1,2,3,5,6}:{(19,1),(38,1),(42,1),(76,1),(91,1),(96,1)}
        29:{2,3,4,6}:{(19,1),(39,1),(42,1),(43,1)}
        30:{1,2,3,5,6}:{(20,1),(40,1),(44,1),(77,1),(93,1),(97,1)}
        31:{1,3,4,6}:{(20,1),(41,1),(44,1),(45,1)}
        32:{2,3,6,7}:{(21,1),(26,1)}
        33:{1,3,6,7}:{(22,1),(27,1)}
        34:{1,2,3,5,6,7}:{(23,1),(24,1),(46,1),(48,1),(50,1),(79,1),(82,1),(84,1),(99,1),(101,1)}
        35:{2,4,6,7}:{(23,1),(25,1),(51,1)}
        36:{1,4,6,7}:{(24,1),(25,1),(52,1)}
        37:{3,4,5,7}:{(25,1),(51,1),(52,1),(53,1),(84,1)}
        38:{1,2,3,5,7}:{(26,1),(28,1),(46,1),(54,1),(79,1),(86,1)}
        39:{2,3,4,7}:{(26,1),(29,1),(54,1)}
        40:{1,2,3,5,7}:{(27,1),(30,1),(48,1),(56,1),(82,1),(88,1)}
        41:{1,3,4,7}:{(27,1),(31,1),(56,1)}
        42:{1,2,4,6}:{(28,1),(29,1),(54,1),(58,1),(59,1)}
        43:{2,3,4,5}:{(29,1),(59,1)}
        44:{1,2,4,6}:{(30,1),(31,1),(56,1),(60,1),(61,1)}
        45:{1,3,4,5}:{(31,1),(61,1)}
        46:{1,2,3,6,7}:{(32,1),(38,1),(62,1),(96,1)}
        47:{2,3,4,6,7}:{(32,1),(35,1),(39,1),(62,1),(63,1),(66,1),(72,1)}
        48:{1,2,3,6,7}:{(33,1),(40,1),(64,1),(97,1)}
        49:{1,3,4,6,7}:{(33,1),(36,1),(41,1),(64,1),(65,1),(66,1),(75,1)}
        50:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(66,1),(67,1),(103,1),(104,1)}
        51:{2,4,5,7}:{(35,1),(37,1),(63,1),(68,1)}
        52:{1,4,5,7}:{(36,1),(37,1),(65,1),(69,1)}
        53:{3,4,5,6}:{(37,1),(68,1),(69,1),(95,1)}
        54:{1,2,4,7}:{(38,1),(39,1),(42,1),(70,1)}
        55:{2,3,4,5,7}:{(39,1),(43,1),(63,1),(71,1),(72,1),(94,1)}
        56:{1,2,4,7}:{(40,1),(41,1),(44,1),(73,1)}
        57:{1,3,4,5,7}:{(41,1),(45,1),(65,1),(74,1),(75,1),(94,1)}
        58:{1,3,4,6}:{(42,1),(70,1),(76,1),(96,1)}
        59:{1,2,4,5}:{(42,1),(43,1),(76,1)}
        60:{2,3,4,6}:{(44,1),(73,1),(77,1),(97,1)}
        61:{1,2,4,5}:{(44,1),(45,1),(77,1)}
        62:{1,2,4,6,7}:{(46,1),(47,1),(54,1),(78,1),(79,1),(87,1)}
        63:{2,3,5,7}:{(47,1),(51,1),(79,1),(80,1),(84,1)}
        64:{1,2,4,6,7}:{(48,1),(49,1),(56,1),(81,1),(82,1),(89,1)}
        65:{1,3,5,7}:{(49,1),(52,1),(82,1),(83,1),(84,1)}
        66:{3,4,6,7}:{(50,1),(84,1),(102,1)}
        67:{1,2,4,5,7}:{(50,1),(51,1),(52,1),(79,1),(82,1),(84,1),(85,1),(98,1),(100,1)}
        68:{2,4,5,6}:{(51,1),(53,1),(80,1)}
        69:{1,4,5,6}:{(52,1),(53,1),(83,1)}
        70:{1,3,4,7}:{(54,1),(58,1),(86,1)}
        71:{1,2,4,5,7}:{(54,1),(55,1),(59,1),(79,1),(86,1),(87,1),(98,1)}
        72:{2,3,4,6}:{(55,1),(80,1),(87,1),(102,1)}
        73:{2,3,4,7}:{(56,1),(60,1),(88,1)}
        74:{1,2,4,5,7}:{(56,1),(57,1),(61,1),(82,1),(88,1),(89,1),(100,1)}
        75:{1,3,4,6}:{(57,1),(83,1),(89,1),(102,1)}
        76:{1,3,5}:{(58,1),(59,1)}
        77:{2,3,5}:{(60,1),(61,1)}
        78:{1,3,4,6,7}:{(62,1),(66,1),(70,1),(90,1),(96,1),(103,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(90,1),(91,1)}
        80:{2,3,5,6}:{(63,1),(68,1),(72,1),(91,1),(95,1)}
        81:{2,3,4,6,7}:{(64,1),(66,1),(73,1),(92,1),(97,1),(104,1)}
        82:{1,2,5,7}:{(64,1),(65,1),(92,1),(93,1)}
        83:{1,3,5,6}:{(65,1),(69,1),(75,1),(93,1),(95,1)}
        84:{3,5,7}:{(66,1),(67,1),(95,1)}
        85:{1,2,4,5,6}:{(67,1),(68,1),(69,1),(91,1),(93,1),(95,1),(103,1),(104,1)}
        86:{1,3,5,7}:{(70,1),(71,1),(76,1),(96,1)}
        87:{1,2,4,6}:{(71,1),(72,1),(91,1),(96,1),(103,1)}
        88:{2,3,5,7}:{(73,1),(74,1),(77,1),(97,1)}
        89:{1,2,4,6}:{(74,1),(75,1),(93,1),(97,1),(104,1)}
        90:{1,3,5,7}:{(78,1),(79,1),(84,1),(98,1),(99,1)}
        91:{1,2,5,6}:{(79,1),(80,1),(87,1),(99,1)}
        92:{2,3,5,7}:{(81,1),(82,1),(84,1),(100,1),(101,1)}
        93:{1,2,5,6}:{(82,1),(83,1),(89,1),(101,1)}
        94:{3,4,5,7}:{(84,1),(98,1),(100,1),(102,1)}
        95:{3,5,6}:{(84,1),(85,1),(102,1)}
        96:{1,3,6}:{(86,1),(87,1)}
        97:{2,3,6}:{(88,1),(89,1)}
        98:{1,4,5,7}:{(90,1),(94,1),(103,1)}
        99:{1,3,5,6}:{(90,1),(91,1),(95,1),(96,1),(103,1)}
       100:{2,4,5,7}:{(92,1),(94,1),(104,1)}
       101:{2,3,5,6}:{(92,1),(93,1),(95,1),(97,1),(104,1)}
       102:{3,4,6}:{(94,1),(95,1),(103,1),(104,1)}
       103:{1,4,6}:{(98,1),(99,1),(102,1)}
       104:{2,4,6}:{(100,1),(101,1),(102,1)}

2141 :   0:{1,2,3,6,7}:{(3,1),(4,1),(48,1),(80,1),(83,1),(84,1),(85,1),(104,1)}
         1:{2,3,4,6,7}:{(3,1),(5,1),(17,1),(19,1),(42,1),(48,1),(52,1),(84,1),(96,1),(104,1)}
         2:{1,3,4,6,7}:{(3,1),(6,1),(17,1),(22,1),(41,1),(48,1),(54,1),(83,1),(95,1),(104,1)}
         3:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(29,1),(61,1),(71,1),(72,1),(94,1),(101,1)}
         4:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(30,1),(69,1),(70,1),(90,1),(91,1),(93,1)}
         5:{2,3,5,7}:{(1,1),(8,1),(10,1),(11,1),(30,1),(60,1),(62,1)}
         6:{1,3,5,7}:{(2,1),(8,1),(12,1),(13,1),(30,1),(59,1),(64,1)}
         7:{1,2,3,5,6}:{(4,1),(14,1),(15,1),(40,1),(48,1),(77,1),(78,1),(79,1),(80,1),(85,1)}
         8:{1,2,5,7}:{(3,1),(5,1),(6,1),(15,1),(79,1),(81,1),(82,1)}
         9:{1,2,4,7}:{(4,1),(14,1),(17,1),(95,1),(96,1),(100,1)}
        10:{2,3,5,6}:{(5,1),(15,1),(19,1),(44,1),(48,1)}
        11:{2,4,5,7}:{(5,1),(19,1),(20,1),(75,1),(96,1)}
        12:{1,3,5,6}:{(6,1),(15,1),(22,1),(46,1),(48,1)}
        13:{1,4,5,7}:{(6,1),(22,1),(23,1),(74,1),(95,1)}
        14:{1,2,4,6}:{(7,1),(9,1),(24,1),(25,1),(87,1),(88,1)}
        15:{1,2,5,6}:{(8,1),(10,1),(12,1),(29,1),(63,1),(65,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(11,1),(13,1),(24,1),(29,1),(30,1),(35,1),(38,1),(69,1),(89,1),(101,1)}
        17:{3,4,7}:{(9,1),(25,1),(30,1),(103,1)}
        18:{2,3,5,6,7}:{(10,1),(28,1),(33,1),(62,1),(66,1),(91,1)}
        19:{2,4,6}:{(10,1),(11,1),(34,1)}
        20:{3,4,5,7}:{(11,1),(30,1),(34,1),(35,1),(56,1),(62,1),(86,1)}
        21:{1,3,5,6,7}:{(12,1),(28,1),(36,1),(64,1),(66,1),(90,1)}
        22:{1,4,6}:{(12,1),(13,1),(37,1)}
        23:{3,4,5,7}:{(13,1),(30,1),(37,1),(38,1),(56,1),(64,1),(86,1)}
        24:{1,2,4,5}:{(14,1),(40,1),(74,1),(75,1),(79,1)}
        25:{3,4,6}:{(14,1),(17,1),(40,1),(48,1)}
        26:{2,4,5,6}:{(19,1),(43,1),(44,1)}
        27:{1,4,5,6}:{(22,1),(45,1),(46,1)}
        28:{1,2,5,6,7}:{(15,1),(18,1),(21,1),(47,1),(81,1),(82,1),(99,1)}
        29:{1,2,4,6}:{(15,1),(16,1),(19,1),(22,1),(48,1),(53,1),(55,1),(85,1)}
        30:{3,5,7}:{(16,1),(17,1),(40,1),(48,1),(98,1),(104,1)}
        31:{1,3,4,7}:{(17,1),(41,1),(49,1),(51,1),(95,1),(104,1)}
        32:{2,3,4,7}:{(17,1),(42,1),(50,1),(51,1),(96,1),(104,1)}
        33:{2,4,6,7}:{(18,1),(19,1),(43,1),(52,1),(96,1)}
        34:{3,4,6}:{(19,1),(20,1),(44,1),(48,1),(53,1)}
        35:{1,4,5,7}:{(20,1),(49,1),(53,1),(74,1),(81,1),(95,1)}
        36:{1,4,6,7}:{(21,1),(22,1),(45,1),(54,1),(95,1)}
        37:{3,4,6}:{(22,1),(23,1),(46,1),(48,1),(55,1)}
        38:{2,4,5,7}:{(23,1),(50,1),(55,1),(75,1),(82,1),(96,1)}
        39:{1,2,4,5,6}:{(24,1),(26,1),(27,1),(29,1),(57,1),(58,1),(63,1),(65,1),(87,1),(88,1),(92,1)}
        40:{3,5}:{(24,1),(25,1)}
        41:{1,3,4,6}:{(25,1),(31,1),(59,1),(61,1),(67,1),(87,1),(102,1),(103,1)}
        42:{2,3,4,6}:{(25,1),(32,1),(60,1),(61,1),(68,1),(88,1),(102,1),(103,1)}
        43:{2,4,5,7}:{(26,1),(33,1),(62,1)}
        44:{3,5,6}:{(26,1),(34,1),(62,1),(63,1)}
        45:{1,4,5,7}:{(27,1),(36,1),(64,1)}
        46:{3,5,6}:{(27,1),(37,1),(64,1),(65,1)}
        47:{1,2,4,6,7}:{(28,1),(29,1),(33,1),(36,1),(57,1),(66,1),(71,1),(72,1),(94,1),(101,1)}
        48:{3,6}:{(29,1),(30,1)}
        49:{1,3,5,7}:{(30,1),(31,1),(35,1),(59,1),(67,1),(69,1)}
        50:{2,3,5,7}:{(30,1),(32,1),(38,1),(60,1),(68,1),(69,1)}
        51:{1,2,4,7}:{(31,1),(32,1),(61,1),(69,1),(70,1)}
        52:{3,4,6,7}:{(33,1),(34,1),(62,1),(66,1),(71,1),(86,1)}
        53:{1,4,6}:{(34,1),(35,1),(63,1),(67,1)}
        54:{3,4,6,7}:{(36,1),(37,1),(64,1),(66,1),(72,1),(86,1)}
        55:{2,4,6}:{(37,1),(38,1),(65,1),(68,1)}
        56:{3,4,5}:{(40,1),(73,1),(74,1),(75,1),(98,1)}
        57:{1,2,4,5,7}:{(39,1),(43,1),(45,1),(47,1),(76,1),(81,1),(82,1),(95,1),(96,1),(99,1)}
        58:{3,5,6}:{(39,1),(40,1),(48,1),(73,1),(76,1)}
        59:{1,3,5}:{(40,1),(41,1),(74,1),(79,1),(98,1)}
        60:{2,3,5}:{(40,1),(42,1),(75,1),(79,1),(98,1)}
        61:{1,2,4,6}:{(41,1),(42,1),(51,1),(79,1),(80,1),(85,1),(100,1)}
        62:{3,5,7}:{(43,1),(44,1),(52,1),(81,1)}
        63:{1,5,6}:{(44,1),(53,1),(81,1)}
        64:{3,5,7}:{(45,1),(46,1),(54,1),(82,1)}
        65:{2,5,6}:{(46,1),(55,1),(82,1)}
        66:{3,6,7}:{(47,1),(48,1),(76,1),(104,1)}
        67:{1,3,6}:{(48,1),(49,1),(53,1),(85,1)}
        68:{2,3,6}:{(48,1),(50,1),(55,1),(85,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(85,1)}
        70:{1,2,3,7}:{(51,1),(80,1),(104,1)}
        71:{1,4,6,7}:{(52,1),(53,1),(81,1),(83,1),(95,1)}
        72:{2,4,6,7}:{(54,1),(55,1),(82,1),(84,1),(96,1)}
        73:{3,4,6}:{(56,1),(58,1),(86,1),(87,1),(88,1),(102,1)}
        74:{1,4,5}:{(56,1),(59,1),(87,1)}
        75:{2,4,5}:{(56,1),(60,1),(88,1)}
        76:{3,5,7}:{(57,1),(58,1),(66,1),(86,1)}
        77:{1,3,5,6}:{(58,1),(59,1),(63,1),(67,1),(87,1),(90,1),(92,1),(102,1)}
        78:{2,3,5,6}:{(58,1),(60,1),(65,1),(68,1),(88,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(59,1),(60,1),(61,1)}
        80:{1,2,3,6}:{(61,1),(70,1),(93,1),(102,1)}
        81:{1,5,7}:{(62,1),(63,1),(71,1)}
        82:{2,5,7}:{(64,1),(65,1),(72,1)}
        83:{1,3,6,7}:{(66,1),(67,1),(71,1),(90,1),(94,1)}
        84:{2,3,6,7}:{(66,1),(68,1),(72,1),(91,1),(94,1)}
        85:{1,2,6}:{(67,1),(68,1),(69,1)}
        86:{3,4,7}:{(73,1),(76,1),(95,1),(96,1),(104,1)}
        87:{1,4,6}:{(73,1),(74,1),(77,1),(95,1)}
        88:{2,4,6}:{(73,1),(75,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(74,1),(75,1),(79,1),(97,1),(98,1),(100,1)}
        90:{1,3,5,7}:{(76,1),(77,1),(81,1),(83,1),(95,1),(99,1),(104,1)}
        91:{2,3,5,7}:{(76,1),(78,1),(82,1),(84,1),(96,1),(99,1),(104,1)}
        92:{1,2,5,6}:{(77,1),(78,1),(79,1),(85,1),(97,1),(99,1)}
        93:{1,2,3,5}:{(79,1),(80,1),(98,1),(100,1)}
        94:{1,2,6,7}:{(83,1),(84,1),(85,1),(99,1)}
        95:{1,4,7}:{(86,1),(87,1),(90,1)}
        96:{2,4,7}:{(86,1),(88,1),(91,1)}
        97:{1,2,4,6}:{(87,1),(88,1),(89,1),(92,1),(101,1),(102,1)}
        98:{3,5}:{(89,1),(102,1),(103,1)}
        99:{1,2,5,7}:{(90,1),(91,1),(92,1),(94,1),(101,1)}
       100:{1,2,4}:{(93,1),(103,1)}
       101:{1,2,4,7}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{3,4}:{(98,1),(100,1)}
       104:{3,7}:{(101,1),(102,1)}

2142 :   0:{1,3,4,6,7}:{(4,1),(5,1),(19,1),(22,1),(50,1),(53,1),(56,1),(76,1),(80,1),(96,1)}
         1:{2,3,4,6,7}:{(4,1),(6,1),(20,1),(23,1),(51,1),(53,1),(56,1),(77,1),(81,1),(96,1)}
         2:{1,3,5,6,7}:{(7,1),(8,1),(10,1),(31,1),(33,1),(63,1)}
         3:{2,3,5,6,7}:{(7,1),(9,1),(11,1),(32,1),(33,1),(64,1)}
         4:{1,2,4,6,7}:{(0,1),(1,1),(12,1),(13,1),(34,1),(35,1),(37,1),(40,1),(65,1),(88,1),(91,1)}
         5:{1,3,5,7}:{(0,1),(10,1),(13,1),(14,1),(31,1),(41,1),(89,1)}
         6:{2,3,5,7}:{(1,1),(11,1),(13,1),(15,1),(32,1),(41,1),(90,1)}
         7:{1,2,5,6,7}:{(2,1),(3,1),(18,1),(21,1),(48,1),(49,1),(78,1)}
         8:{1,4,6,7}:{(2,1),(16,1),(19,1),(22,1),(76,1)}
         9:{2,4,6,7}:{(3,1),(17,1),(20,1),(23,1),(77,1)}
        10:{1,3,5,6}:{(5,1),(21,1),(22,1),(45,1),(53,1)}
        11:{2,3,5,6}:{(6,1),(21,1),(23,1),(46,1),(53,1)}
        12:{1,2,3,6,7}:{(4,1),(24,1),(50,1),(51,1),(53,1),(82,1),(96,1),(98,1)}
        13:{1,2,5,7}:{(4,1),(5,1),(6,1),(21,1),(48,1),(49,1),(97,1)}
        14:{1,4,5,7}:{(5,1),(22,1),(26,1),(76,1),(93,1)}
        15:{2,4,5,7}:{(6,1),(23,1),(27,1),(77,1),(94,1)}
        16:{1,4,5,7}:{(8,1),(28,1),(31,1)}
        17:{2,4,5,7}:{(9,1),(29,1),(32,1)}
        18:{1,2,4,6,7}:{(7,1),(8,1),(9,1),(30,1),(33,1),(34,1),(35,1),(37,1),(65,1),(88,1)}
        19:{3,4,6,7}:{(8,1),(31,1),(33,1),(34,1),(38,1),(62,1)}
        20:{3,4,6,7}:{(9,1),(32,1),(33,1),(35,1),(39,1),(62,1)}
        21:{1,2,5,6}:{(10,1),(11,1),(13,1),(37,1),(60,1),(61,1)}
        22:{1,4,6}:{(10,1),(14,1),(38,1)}
        23:{2,4,6}:{(11,1),(15,1),(39,1)}
        24:{1,2,3,5,7}:{(12,1),(13,1),(36,1),(40,1),(41,1),(63,1),(64,1),(72,1),(92,1),(101,1)}
        25:{1,2,4,5,7}:{(13,1),(14,1),(15,1),(37,1),(40,1),(41,1),(42,1),(43,1),(66,1),(72,1),(88,1),(99,1)}
        26:{3,4,5,7}:{(14,1),(31,1),(38,1),(41,1),(42,1),(62,1),(84,1)}
        27:{3,4,5,7}:{(15,1),(32,1),(39,1),(41,1),(43,1),(62,1),(84,1)}
        28:{1,4,5,6}:{(16,1),(22,1),(45,1)}
        29:{2,4,5,6}:{(17,1),(23,1),(46,1)}
        30:{1,2,4,5,7}:{(16,1),(17,1),(18,1),(44,1),(47,1),(48,1),(49,1),(76,1),(77,1),(78,1)}
        31:{3,5,7}:{(16,1),(19,1),(45,1),(48,1)}
        32:{3,5,7}:{(17,1),(20,1),(46,1),(49,1)}
        33:{3,6,7}:{(18,1),(47,1),(53,1),(96,1)}
        34:{2,4,6,7}:{(19,1),(48,1),(51,1),(54,1),(77,1)}
        35:{1,4,6,7}:{(20,1),(49,1),(50,1),(55,1),(76,1)}
        36:{1,2,3,5,6}:{(21,1),(24,1),(52,1),(53,1),(74,1),(75,1),(79,1),(82,1),(97,1),(98,1)}
        37:{1,2,4,6}:{(21,1),(22,1),(23,1),(25,1),(53,1),(54,1),(55,1),(82,1)}
        38:{3,4,6}:{(22,1),(26,1),(45,1),(53,1),(54,1)}
        39:{3,4,6}:{(23,1),(27,1),(46,1),(53,1),(55,1)}
        40:{1,2,4,7}:{(24,1),(52,1),(56,1),(76,1),(77,1),(103,1)}
        41:{3,5,7}:{(25,1),(53,1),(56,1),(79,1),(96,1),(102,1)}
        42:{2,4,5,7}:{(26,1),(48,1),(54,1),(58,1),(77,1),(94,1)}
        43:{1,4,5,7}:{(27,1),(49,1),(55,1),(57,1),(76,1),(93,1)}
        44:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(37,1),(59,1),(60,1),(61,1),(66,1),(85,1),(86,1),(87,1)}
        45:{3,5,6}:{(28,1),(31,1),(38,1),(60,1)}
        46:{3,5,6}:{(29,1),(32,1),(39,1),(61,1)}
        47:{3,5,7}:{(30,1),(33,1),(59,1),(62,1)}
        48:{2,5,7}:{(31,1),(34,1),(60,1)}
        49:{1,5,7}:{(32,1),(35,1),(61,1)}
        50:{1,3,6,7}:{(33,1),(35,1),(63,1),(65,1),(68,1)}
        51:{2,3,6,7}:{(33,1),(34,1),(64,1),(65,1),(69,1)}
        52:{1,2,4,6}:{(36,1),(40,1),(66,1),(67,1),(85,1),(86,1)}
        53:{3,6}:{(37,1),(41,1)}
        54:{2,4,6}:{(38,1),(42,1),(60,1),(69,1)}
        55:{1,4,6}:{(39,1),(43,1),(61,1),(68,1)}
        56:{3,4,7}:{(40,1),(41,1),(67,1),(104,1)}
        57:{1,3,5,7}:{(41,1),(43,1),(68,1),(70,1),(72,1),(89,1)}
        58:{2,3,5,7}:{(41,1),(42,1),(69,1),(71,1),(72,1),(90,1)}
        59:{3,5,6}:{(44,1),(47,1),(53,1),(73,1),(79,1)}
        60:{2,5,6}:{(45,1),(48,1),(54,1)}
        61:{1,5,6}:{(46,1),(49,1),(55,1)}
        62:{3,4,7}:{(47,1),(73,1),(76,1),(77,1),(96,1)}
        63:{1,3,5,7}:{(47,1),(49,1),(50,1),(74,1),(76,1),(78,1),(96,1)}
        64:{2,3,5,7}:{(47,1),(48,1),(51,1),(75,1),(77,1),(78,1),(96,1)}
        65:{1,2,6,7}:{(50,1),(51,1),(78,1),(82,1)}
        66:{1,2,4,5}:{(52,1),(79,1),(93,1),(94,1),(97,1)}
        67:{3,4,6}:{(52,1),(53,1),(56,1),(79,1)}
        68:{1,3,6}:{(53,1),(55,1),(57,1),(82,1)}
        69:{2,3,6}:{(53,1),(54,1),(58,1),(82,1)}
        70:{1,3,4,7}:{(56,1),(57,1),(76,1),(80,1),(83,1),(96,1)}
        71:{2,3,4,7}:{(56,1),(58,1),(77,1),(81,1),(83,1),(96,1)}
        72:{1,2,5,7}:{(57,1),(58,1),(82,1),(83,1),(97,1)}
        73:{3,4,6}:{(59,1),(62,1),(84,1),(85,1),(86,1),(100,1)}
        74:{1,3,5,6}:{(59,1),(61,1),(63,1),(68,1),(85,1),(87,1),(89,1),(100,1)}
        75:{2,3,5,6}:{(59,1),(60,1),(64,1),(69,1),(86,1),(87,1),(90,1),(100,1)}
        76:{1,4,7}:{(62,1),(63,1),(85,1)}
        77:{2,4,7}:{(62,1),(64,1),(86,1)}
        78:{1,2,5,7}:{(63,1),(64,1),(65,1),(87,1),(88,1)}
        79:{3,5}:{(66,1),(67,1)}
        80:{1,3,4,6}:{(67,1),(68,1),(70,1),(85,1),(89,1),(91,1),(100,1),(104,1)}
        81:{2,3,4,6}:{(67,1),(69,1),(71,1),(86,1),(90,1),(91,1),(100,1),(104,1)}
        82:{1,2,6}:{(68,1),(69,1),(72,1)}
        83:{1,2,4,7}:{(70,1),(71,1),(72,1),(91,1),(92,1)}
        84:{3,4,5}:{(73,1),(79,1),(93,1),(94,1),(102,1)}
        85:{1,4,6}:{(73,1),(74,1),(76,1),(93,1)}
        86:{2,4,6}:{(73,1),(75,1),(77,1),(94,1)}
        87:{1,2,5,6}:{(74,1),(75,1),(78,1),(82,1),(95,1),(97,1)}
        88:{1,2,4,7}:{(76,1),(77,1),(78,1),(95,1),(96,1)}
        89:{1,3,5}:{(79,1),(80,1),(93,1),(97,1),(102,1)}
        90:{2,3,5}:{(79,1),(81,1),(94,1),(97,1),(102,1)}
        91:{1,2,4,6}:{(80,1),(81,1),(82,1),(83,1),(97,1),(98,1),(103,1)}
        92:{1,2,3,7}:{(83,1),(96,1),(98,1)}
        93:{1,4,5}:{(84,1),(85,1),(89,1)}
        94:{2,4,5}:{(84,1),(86,1),(90,1)}
        95:{1,2,4,6}:{(85,1),(86,1),(87,1),(88,1),(99,1),(100,1)}
        96:{3,7}:{(88,1),(100,1)}
        97:{1,2,5}:{(89,1),(90,1),(91,1)}
        98:{1,2,3,6}:{(91,1),(92,1),(100,1),(101,1)}
        99:{1,2,4,5}:{(93,1),(94,1),(95,1),(97,1),(102,1),(103,1)}
       100:{3,6}:{(95,1),(96,1),(102,1)}
       101:{1,2,3,5}:{(97,1),(98,1),(102,1),(103,1)}
       102:{3,5}:{(99,1),(100,1),(104,1)}
       103:{1,2,4}:{(101,1),(104,1)}
       104:{3,4}:{(102,1),(103,1)}

2143 :  0:{2,3,4,5,7}:{(3,1),(4,1),(17,1),(37,1),(63,1)}
        1:{1,3,4,5,7}:{(3,1),(5,1),(19,1),(37,1),(63,1)}
        2:{1,2,3,4,7}:{(6,1),(7,1),(49,1),(83,1)}
        3:{1,2,4,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(26,1),(49,1)}
        4:{2,3,4,6}:{(0,1),(8,1),(10,1),(50,1)}
        5:{1,3,4,6}:{(1,1),(8,1),(12,1),(50,1)}
        6:{1,2,3,5,7}:{(2,1),(3,1),(13,1),(14,1)}
        7:{1,2,3,4,6}:{(2,1),(13,1),(14,1),(36,1),(81,1),(82,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(5,1),(13,1),(16,1)}
        9:{2,3,4,6,7}:{(4,1),(15,1),(17,1),(33,1),(60,1),(63,1)}
       10:{2,3,5,6}:{(4,1),(16,1),(17,1),(18,1),(39,1)}
       11:{1,3,4,6,7}:{(5,1),(15,1),(19,1),(34,1),(60,1),(63,1)}
       12:{1,3,5,6}:{(5,1),(16,1),(19,1),(20,1),(39,1)}
       13:{1,2,3,6}:{(6,1),(8,1)}
       14:{1,2,3,5}:{(7,1),(25,1)}
       15:{1,2,4,6,7}:{(8,1),(9,1),(11,1),(23,1),(26,1),(49,1)}
       16:{1,2,5,6}:{(8,1),(10,1),(12,1),(26,1)}
       17:{2,3,5,7}:{(9,1),(10,1),(26,1),(28,1),(53,1)}
       18:{2,4,5,6}:{(10,1),(28,1),(29,1)}
       19:{1,3,5,7}:{(11,1),(12,1),(26,1),(30,1),(53,1)}
       20:{1,4,5,6}:{(12,1),(30,1),(31,1)}
       21:{2,3,5,6,7}:{(17,1),(32,1),(33,1),(58,1),(60,1)}
       22:{1,3,5,6,7}:{(19,1),(32,1),(34,1),(59,1),(60,1)}
       23:{1,2,3,6,7}:{(13,1),(15,1),(35,1),(60,1),(79,1)}
       24:{1,2,3,5,6}:{(13,1),(14,1),(16,1),(35,1),(36,1),(39,1),(69,1),(81,1)}
       25:{1,2,4,5}:{(14,1),(36,1),(37,1)}
       26:{1,2,5,7}:{(15,1),(16,1),(17,1),(19,1)}
       27:{1,2,4,5,6}:{(16,1),(18,1),(20,1),(36,1),(38,1),(39,1),(41,1),(43,1),(69,1)}
       28:{2,4,5,7}:{(17,1),(18,1),(33,1),(40,1)}
       29:{3,4,5,6}:{(18,1),(39,1),(40,1),(41,1)}
       30:{1,4,5,7}:{(19,1),(20,1),(34,1),(42,1)}
       31:{3,4,5,6}:{(20,1),(39,1),(42,1),(43,1)}
       32:{1,2,5,6,7}:{(21,1),(22,1),(26,1),(46,1),(70,1),(71,1)}
       33:{2,4,6,7}:{(21,1),(28,1),(47,1)}
       34:{1,4,6,7}:{(22,1),(30,1),(48,1)}
       35:{1,2,3,5,7}:{(23,1),(24,1),(26,1),(49,1),(53,1),(78,1),(83,1)}
       36:{1,2,4,6}:{(24,1),(25,1),(49,1),(50,1)}
       37:{3,4,5}:{(25,1),(50,1)}
       38:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(30,1),(46,1),(49,1),(53,1),(56,1),(57,1),(78,1)}
       39:{3,5,6}:{(27,1),(50,1),(53,1)}
       40:{3,4,5,7}:{(28,1),(29,1),(47,1),(53,1),(56,1)}
       41:{1,4,5,6}:{(29,1),(54,1),(56,1)}
       42:{3,4,5,7}:{(30,1),(31,1),(48,1),(53,1),(57,1)}
       43:{2,4,5,6}:{(31,1),(55,1),(57,1)}
       44:{2,4,5,6,7}:{(33,1),(58,1)}
       45:{1,4,5,6,7}:{(34,1),(59,1)}
       46:{1,2,4,6,7}:{(32,1),(33,1),(34,1),(38,1),(60,1),(61,1),(62,1),(79,1)}
       47:{3,4,6,7}:{(33,1),(40,1),(58,1),(60,1),(61,1)}
       48:{3,4,6,7}:{(34,1),(42,1),(59,1),(60,1),(62,1)}
       49:{1,2,4,7}:{(35,1),(36,1),(63,1)}
       50:{3,4,6}:{(36,1),(37,1),(39,1),(63,1)}
       51:{1,3,4,5}:{(37,1),(64,1),(66,1)}
       52:{2,3,4,5}:{(37,1),(65,1),(66,1)}
       53:{3,5,7}:{(38,1),(39,1),(60,1),(63,1)}
       54:{1,3,5,6}:{(39,1),(41,1),(64,1),(67,1),(69,1)}
       55:{2,3,5,6}:{(39,1),(43,1),(65,1),(68,1),(69,1)}
       56:{1,4,5,7}:{(40,1),(41,1),(61,1),(67,1)}
       57:{2,4,5,7}:{(42,1),(43,1),(62,1),(68,1)}
       58:{3,5,6,7}:{(44,1),(47,1),(70,1)}
       59:{3,5,6,7}:{(45,1),(48,1),(71,1)}
       60:{3,6,7}:{(46,1),(53,1)}
       61:{1,4,6,7}:{(47,1),(56,1),(70,1),(72,1)}
       62:{2,4,6,7}:{(48,1),(57,1),(71,1),(73,1)}
       63:{3,4,7}:{(49,1),(50,1),(53,1)}
       64:{1,3,4,6}:{(50,1),(51,1),(54,1),(74,1),(76,1)}
       65:{2,3,4,6}:{(50,1),(52,1),(55,1),(75,1),(76,1)}
       66:{1,2,4,5}:{(51,1),(52,1),(76,1),(77,1)}
       67:{1,3,5,7}:{(53,1),(54,1),(56,1),(72,1),(74,1),(78,1)}
       68:{2,3,5,7}:{(53,1),(55,1),(57,1),(73,1),(75,1),(78,1)}
       69:{1,2,5,6}:{(54,1),(55,1),(76,1),(78,1)}
       70:{1,5,6,7}:{(58,1),(61,1)}
       71:{2,5,6,7}:{(59,1),(62,1)}
       72:{1,3,6,7}:{(60,1),(61,1),(67,1),(79,1)}
       73:{2,3,6,7}:{(60,1),(62,1),(68,1),(79,1)}
       74:{1,3,4,7}:{(63,1),(64,1),(67,1),(80,1)}
       75:{2,3,4,7}:{(63,1),(65,1),(68,1),(80,1)}
       76:{1,2,4,6}:{(64,1),(65,1),(66,1),(69,1),(80,1),(81,1)}
       77:{1,2,3,5}:{(66,1),(81,1),(82,1)}
       78:{1,2,5,7}:{(67,1),(68,1),(69,1),(79,1),(80,1)}
       79:{1,2,6,7}:{(72,1),(73,1),(78,1)}
       80:{1,2,4,7}:{(74,1),(75,1),(76,1),(78,1),(83,1)}
       81:{1,2,3,6}:{(76,1),(77,1),(83,1)}
       82:{1,2,3,4}:{(77,1)}
       83:{1,2,3,7}:{(80,1),(81,1)}

2144 :  0:{1,2,3,4,7}:{(1,1),(2,1),(29,1),(82,1)}
        1:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        2:{1,2,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(73,1),(74,1)}
        3:{1,3,4,5,7}:{(5,1),(8,1),(22,1),(23,1),(42,1)}
        4:{2,3,4,5,7}:{(5,1),(9,1),(22,1),(25,1),(42,1)}
        5:{1,2,4,5,7}:{(1,1),(3,1),(4,1),(10,1),(13,1),(27,1),(29,1)}
        6:{1,2,3,6}:{(1,1),(10,1)}
        7:{1,2,3,5}:{(2,1),(13,1)}
        8:{1,3,4,6}:{(3,1),(10,1),(15,1),(30,1)}
        9:{2,3,4,6}:{(4,1),(10,1),(17,1),(30,1)}
       10:{1,2,4,6}:{(5,1),(6,1),(8,1),(9,1),(19,1)}
       11:{1,2,3,6,7}:{(6,1),(18,1),(20,1),(68,1),(83,1)}
       12:{1,2,3,5,6}:{(6,1),(7,1),(19,1),(20,1),(21,1),(41,1),(71,1),(73,1)}
       13:{1,2,4,5}:{(7,1),(21,1),(22,1)}
       14:{1,3,4,6,7}:{(8,1),(18,1),(23,1),(42,1),(46,1),(68,1)}
       15:{1,3,5,6}:{(8,1),(19,1),(23,1),(24,1),(41,1)}
       16:{2,3,4,6,7}:{(9,1),(18,1),(25,1),(42,1),(49,1),(68,1)}
       17:{2,3,5,6}:{(9,1),(19,1),(25,1),(26,1),(41,1)}
       18:{1,2,4,6,7}:{(10,1),(11,1),(14,1),(16,1),(27,1),(29,1)}
       19:{1,2,5,6}:{(10,1),(15,1),(17,1),(27,1)}
       20:{1,2,3,5,7}:{(11,1),(12,1),(27,1),(29,1),(55,1),(81,1),(82,1)}
       21:{1,2,4,6}:{(12,1),(13,1),(29,1),(30,1)}
       22:{3,4,5}:{(13,1),(30,1)}
       23:{1,3,5,7}:{(14,1),(15,1),(27,1),(34,1),(55,1)}
       24:{1,4,5,6}:{(15,1),(34,1),(35,1)}
       25:{2,3,5,7}:{(16,1),(17,1),(27,1),(37,1),(55,1)}
       26:{2,4,5,6}:{(17,1),(37,1),(38,1)}
       27:{1,2,5,7}:{(18,1),(19,1),(23,1),(25,1)}
       28:{1,2,4,5,6}:{(19,1),(21,1),(24,1),(26,1),(40,1),(41,1),(48,1),(51,1),(71,1)}
       29:{1,2,4,7}:{(20,1),(21,1),(42,1)}
       30:{3,4,6}:{(21,1),(22,1),(41,1),(42,1)}
       31:{1,3,4,5}:{(22,1),(43,1),(45,1)}
       32:{2,3,4,5}:{(22,1),(44,1),(45,1)}
       33:{1,3,5,6,7}:{(23,1),(39,1),(46,1),(66,1),(68,1)}
       34:{1,4,5,7}:{(23,1),(24,1),(46,1),(47,1)}
       35:{3,4,5,6}:{(24,1),(41,1),(47,1),(48,1)}
       36:{2,3,5,6,7}:{(25,1),(39,1),(49,1),(67,1),(68,1)}
       37:{2,4,5,7}:{(25,1),(26,1),(49,1),(50,1)}
       38:{3,4,5,6}:{(26,1),(41,1),(50,1),(51,1)}
       39:{1,2,5,6,7}:{(27,1),(33,1),(36,1),(54,1),(77,1),(78,1)}
       40:{1,2,4,5,7}:{(27,1),(28,1),(29,1),(34,1),(37,1),(54,1),(55,1),(63,1),(65,1),(81,1)}
       41:{3,5,6}:{(28,1),(30,1),(55,1)}
       42:{3,4,7}:{(29,1),(30,1),(55,1)}
       43:{1,3,4,6}:{(30,1),(31,1),(56,1),(58,1),(60,1)}
       44:{2,3,4,6}:{(30,1),(32,1),(57,1),(59,1),(60,1)}
       45:{1,2,4,5}:{(31,1),(32,1),(60,1),(61,1)}
       46:{1,4,6,7}:{(33,1),(34,1),(62,1)}
       47:{3,4,5,7}:{(34,1),(35,1),(55,1),(62,1),(63,1)}
       48:{2,4,5,6}:{(35,1),(57,1),(63,1)}
       49:{2,4,6,7}:{(36,1),(37,1),(64,1)}
       50:{3,4,5,7}:{(37,1),(38,1),(55,1),(64,1),(65,1)}
       51:{1,4,5,6}:{(38,1),(56,1),(65,1)}
       52:{1,4,5,6,7}:{(46,1),(66,1)}
       53:{2,4,5,6,7}:{(49,1),(67,1)}
       54:{1,2,4,6,7}:{(39,1),(40,1),(46,1),(49,1),(68,1),(75,1),(76,1),(83,1)}
       55:{3,5,7}:{(40,1),(41,1),(42,1),(68,1)}
       56:{1,3,5,6}:{(41,1),(43,1),(51,1),(69,1),(71,1)}
       57:{2,3,5,6}:{(41,1),(44,1),(48,1),(70,1),(71,1)}
       58:{1,3,4,7}:{(42,1),(43,1),(69,1),(72,1)}
       59:{2,3,4,7}:{(42,1),(44,1),(70,1),(72,1)}
       60:{1,2,4,6}:{(43,1),(44,1),(45,1),(71,1),(72,1),(73,1)}
       61:{1,2,3,5}:{(45,1),(73,1),(74,1)}
       62:{3,4,6,7}:{(46,1),(47,1),(66,1),(68,1),(75,1)}
       63:{2,4,5,7}:{(47,1),(48,1),(70,1),(75,1)}
       64:{3,4,6,7}:{(49,1),(50,1),(67,1),(68,1),(76,1)}
       65:{1,4,5,7}:{(50,1),(51,1),(69,1),(76,1)}
       66:{3,5,6,7}:{(52,1),(62,1),(77,1)}
       67:{3,5,6,7}:{(53,1),(64,1),(78,1)}
       68:{3,6,7}:{(54,1),(55,1)}
       69:{1,3,5,7}:{(55,1),(56,1),(58,1),(65,1),(79,1),(81,1)}
       70:{2,3,5,7}:{(55,1),(57,1),(59,1),(63,1),(80,1),(81,1)}
       71:{1,2,5,6}:{(56,1),(57,1),(60,1),(81,1)}
       72:{1,2,4,7}:{(58,1),(59,1),(60,1),(81,1),(82,1)}
       73:{1,2,3,6}:{(60,1),(61,1),(82,1)}
       74:{1,2,3,4}:{(61,1)}
       75:{2,4,6,7}:{(62,1),(63,1),(77,1),(80,1)}
       76:{1,4,6,7}:{(64,1),(65,1),(78,1),(79,1)}
       77:{2,5,6,7}:{(66,1),(75,1)}
       78:{1,5,6,7}:{(67,1),(76,1)}
       79:{1,3,6,7}:{(68,1),(69,1),(76,1),(83,1)}
       80:{2,3,6,7}:{(68,1),(70,1),(75,1),(83,1)}
       81:{1,2,5,7}:{(69,1),(70,1),(71,1),(72,1),(83,1)}
       82:{1,2,3,7}:{(72,1),(73,1)}
       83:{1,2,6,7}:{(79,1),(80,1),(81,1)}

2145 :   0:{1,2,3,5,6,7}:{(1,1),(7,1),(23,1),(27,1),(28,1),(29,1),(30,1),(57,1),(94,1),(96,1),(123,1)}
         1:{1,2,4,6,7}:{(0,1),(3,1),(4,1),(41,1),(42,1),(112,1),(114,1),(133,1)}
         2:{1,2,4,5,6,7}:{(5,1),(6,1),(21,1),(22,1),(23,1),(46,1),(56,1)}
         3:{1,2,4,5,7}:{(1,1),(6,1),(7,1),(25,1),(26,1),(29,1),(138,1)}
         4:{3,4,6,7}:{(1,1),(7,1),(24,1),(57,1),(98,1),(137,1)}
         5:{3,5,6,7}:{(2,1),(11,1),(15,1),(67,1),(78,1)}
         6:{1,2,4,5,6}:{(3,1),(15,1),(41,1),(42,1),(44,1)}
         7:{3,5,7}:{(3,1),(4,1),(15,1),(139,1)}
         8:{1,3,4,6,7}:{(4,1),(16,1),(18,1),(41,1),(76,1),(83,1),(84,1),(114,1),(119,1)}
         9:{2,3,4,6,7}:{(4,1),(17,1),(18,1),(42,1),(73,1),(83,1),(84,1),(112,1),(118,1)}
        10:{1,2,3,5,6,7}:{(19,1),(23,1),(47,1),(57,1),(64,1),(89,1),(90,1),(91,1),(92,1),(94,1),(96,1)}
        11:{3,4,6,7}:{(5,1),(20,1),(21,1),(22,1),(24,1),(57,1),(86,1),(98,1)}
        12:{1,3,5,6,7}:{(5,1),(21,1),(23,1),(27,1),(50,1),(57,1),(89,1),(96,1)}
        13:{2,3,5,6,7}:{(5,1),(22,1),(23,1),(28,1),(52,1),(57,1),(90,1),(94,1)}
        14:{3,4,5,7}:{(7,1),(24,1),(25,1),(26,1),(63,1),(98,1),(127,1)}
        15:{3,5,6}:{(6,1),(7,1),(24,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(25,1),(27,1),(29,1),(63,1),(130,1)}
        17:{2,3,5,7}:{(7,1),(9,1),(26,1),(28,1),(29,1),(63,1),(129,1)}
        18:{1,2,4,6,7}:{(8,1),(9,1),(29,1),(30,1),(62,1),(65,1),(128,1)}
        19:{1,2,4,6,7}:{(10,1),(31,1),(32,1),(85,1),(106,1),(107,1),(112,1),(114,1)}
        20:{3,4,5,7}:{(11,1),(35,1),(36,1),(37,1),(78,1)}
        21:{1,4,6,7}:{(11,1),(12,1),(36,1),(41,1),(106,1),(114,1)}
        22:{2,4,6,7}:{(11,1),(13,1),(37,1),(42,1),(107,1),(112,1)}
        23:{1,2,5,6,7}:{(12,1),(13,1),(38,1),(44,1),(72,1),(75,1),(109,1)}
        24:{3,4,6}:{(14,1),(15,1),(41,1),(42,1),(83,1)}
        25:{1,4,5,7}:{(14,1),(16,1),(41,1),(114,1),(135,1)}
        26:{2,4,5,7}:{(14,1),(17,1),(42,1),(112,1),(134,1)}
        27:{1,3,5,6}:{(15,1),(16,1),(41,1),(44,1),(83,1)}
        28:{2,3,5,6}:{(15,1),(17,1),(42,1),(44,1),(83,1)}
        29:{1,2,5,7}:{(16,1),(17,1),(18,1),(44,1),(136,1)}
        30:{1,2,3,6,7}:{(18,1),(45,1),(73,1),(76,1),(83,1),(116,1)}
        31:{1,2,4,5,7}:{(19,1),(46,1),(47,1),(87,1),(88,1),(91,1),(105,1)}
        32:{3,4,6,7}:{(19,1),(47,1),(57,1),(86,1),(98,1),(104,1)}
        33:{1,3,4,6,7}:{(21,1),(50,1),(51,1),(57,1),(58,1),(98,1)}
        34:{2,3,4,6,7}:{(22,1),(52,1),(53,1),(57,1),(60,1),(98,1)}
        35:{3,4,5,6}:{(20,1),(24,1),(54,1),(55,1),(86,1),(97,1),(127,1)}
        36:{1,4,5,7}:{(20,1),(21,1),(50,1),(54,1)}
        37:{2,4,5,7}:{(20,1),(22,1),(52,1),(55,1)}
        38:{1,2,4,6,7}:{(21,1),(22,1),(23,1),(56,1),(57,1),(62,1),(121,1)}
        39:{1,3,4,5,7}:{(25,1),(50,1),(58,1),(59,1),(63,1),(87,1),(98,1),(103,1),(122,1),(127,1),(130,1)}
        40:{2,3,4,5,7}:{(26,1),(52,1),(60,1),(61,1),(63,1),(88,1),(98,1),(101,1),(122,1),(127,1),(129,1)}
        41:{1,4,6}:{(24,1),(25,1),(27,1)}
        42:{2,4,6}:{(24,1),(26,1),(28,1)}
        43:{1,2,4,5,7}:{(25,1),(26,1),(29,1),(62,1),(63,1),(65,1),(105,1)}
        44:{1,2,5,6}:{(27,1),(28,1),(29,1),(62,1)}
        45:{1,2,3,5,7}:{(29,1),(30,1),(63,1),(64,1),(65,1),(94,1),(96,1)}
        46:{1,2,4,5,6}:{(31,1),(67,1),(106,1),(107,1),(109,1)}
        47:{3,5,7}:{(31,1),(32,1),(67,1),(120,1)}
        48:{1,3,4,6,7}:{(32,1),(68,1),(70,1),(76,1),(106,1),(114,1),(119,1),(131,1),(132,1)}
        49:{2,3,4,6,7}:{(32,1),(69,1),(70,1),(73,1),(107,1),(112,1),(118,1),(131,1),(132,1)}
        50:{1,3,5,7}:{(33,1),(36,1),(71,1),(72,1),(78,1)}
        51:{1,2,4,6,7}:{(33,1),(72,1),(73,1),(79,1),(112,1)}
        52:{2,3,5,7}:{(34,1),(37,1),(74,1),(75,1),(78,1)}
        53:{1,2,4,6,7}:{(34,1),(75,1),(76,1),(81,1),(114,1)}
        54:{1,4,5,6}:{(35,1),(36,1),(41,1),(71,1),(106,1),(135,1)}
        55:{2,4,5,6}:{(35,1),(37,1),(42,1),(74,1),(107,1),(134,1)}
        56:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(72,1),(75,1),(77,1),(78,1),(112,1),(114,1)}
        57:{3,6,7}:{(38,1),(78,1),(83,1),(131,1)}
        58:{1,3,4,6}:{(39,1),(41,1),(71,1),(79,1),(83,1),(106,1),(115,1),(131,1)}
        59:{1,2,4,5,7}:{(39,1),(72,1),(79,1),(80,1),(112,1),(117,1),(134,1),(136,1)}
        60:{2,3,4,6}:{(40,1),(42,1),(74,1),(81,1),(83,1),(107,1),(115,1),(131,1)}
        61:{1,2,4,5,7}:{(40,1),(75,1),(81,1),(82,1),(114,1),(117,1),(135,1),(136,1)}
        62:{1,2,4,6}:{(41,1),(42,1),(43,1),(44,1),(83,1)}
        63:{3,5,7}:{(43,1),(83,1),(84,1),(120,1)}
        64:{1,2,3,5,6}:{(44,1),(45,1),(83,1),(85,1),(111,1),(113,1),(116,1),(120,1),(136,1)}
        65:{1,2,4,7}:{(45,1),(84,1),(85,1),(112,1),(114,1)}
        66:{3,4,5,7}:{(47,1),(86,1),(87,1),(88,1),(98,1),(122,1),(127,1)}
        67:{3,5,6}:{(46,1),(47,1),(86,1)}
        68:{1,3,5,7}:{(47,1),(48,1),(87,1),(89,1),(91,1),(122,1),(130,1)}
        69:{2,3,5,7}:{(47,1),(49,1),(88,1),(90,1),(91,1),(122,1),(129,1)}
        70:{1,2,4,6,7}:{(48,1),(49,1),(91,1),(92,1),(121,1),(124,1),(128,1)}
        71:{1,3,5,6}:{(50,1),(54,1),(58,1),(93,1),(97,1),(130,1)}
        72:{1,2,5,7}:{(50,1),(51,1),(93,1),(94,1)}
        73:{2,3,6,7}:{(51,1),(57,1),(94,1),(100,1)}
        74:{2,3,5,6}:{(52,1),(55,1),(60,1),(95,1),(97,1),(129,1)}
        75:{1,2,5,7}:{(52,1),(53,1),(95,1),(96,1)}
        76:{1,3,6,7}:{(53,1),(57,1),(96,1),(102,1)}
        77:{1,2,4,5,6}:{(54,1),(55,1),(56,1),(62,1),(93,1),(95,1),(97,1),(105,1),(121,1),(125,1),(126,1),(138,1)}
        78:{3,5,7}:{(56,1),(57,1),(97,1),(98,1)}
        79:{1,2,4,6}:{(58,1),(59,1),(93,1),(100,1),(125,1)}
        80:{2,3,5,7}:{(59,1),(63,1),(100,1),(101,1),(122,1),(129,1)}
        81:{1,2,4,6}:{(60,1),(61,1),(95,1),(102,1),(126,1)}
        82:{1,3,5,7}:{(61,1),(63,1),(102,1),(103,1),(122,1),(130,1)}
        83:{3,6}:{(62,1),(63,1)}
        84:{3,4,7}:{(63,1),(65,1),(104,1)}
        85:{1,2,4,6}:{(64,1),(65,1),(104,1),(105,1),(125,1),(126,1)}
        86:{3,4,6}:{(66,1),(67,1),(106,1),(107,1),(131,1)}
        87:{1,4,5,7}:{(66,1),(68,1),(106,1),(114,1),(135,1)}
        88:{2,4,5,7}:{(66,1),(69,1),(107,1),(112,1),(134,1)}
        89:{1,3,5,6}:{(67,1),(68,1),(106,1),(109,1),(131,1)}
        90:{2,3,5,6}:{(67,1),(69,1),(107,1),(109,1),(131,1)}
        91:{1,2,5,7}:{(68,1),(69,1),(70,1),(109,1),(136,1)}
        92:{1,2,3,6,7}:{(70,1),(73,1),(76,1),(110,1),(116,1),(131,1)}
        93:{1,2,5,6}:{(71,1),(72,1),(79,1),(111,1),(136,1)}
        94:{2,3,5,7}:{(72,1),(73,1),(78,1),(111,1),(112,1)}
        95:{1,2,5,6}:{(74,1),(75,1),(81,1),(113,1),(136,1)}
        96:{1,3,5,7}:{(75,1),(76,1),(78,1),(113,1),(114,1)}
        97:{3,5,6}:{(77,1),(78,1),(83,1),(115,1),(120,1),(131,1),(139,1)}
        98:{3,4,7}:{(78,1),(112,1),(114,1),(115,1)}
        99:{1,2,3,5,7}:{(80,1),(82,1),(116,1),(117,1),(136,1)}
       100:{2,3,6}:{(79,1),(80,1),(83,1),(131,1)}
       101:{2,3,4,7}:{(80,1),(84,1),(112,1),(117,1),(118,1),(132,1)}
       102:{1,3,6}:{(81,1),(82,1),(83,1),(131,1)}
       103:{1,3,4,7}:{(82,1),(84,1),(114,1),(117,1),(119,1),(132,1)}
       104:{3,4,6}:{(83,1),(84,1),(85,1),(120,1)}
       105:{1,2,4,5}:{(85,1),(120,1),(134,1),(135,1),(136,1)}
       106:{1,4,6}:{(86,1),(87,1),(89,1)}
       107:{2,4,6}:{(86,1),(88,1),(90,1)}
       108:{1,2,4,5,7}:{(87,1),(88,1),(91,1),(121,1),(122,1),(124,1),(138,1)}
       109:{1,2,5,6}:{(89,1),(90,1),(91,1),(121,1)}
       110:{1,2,3,5,7}:{(91,1),(92,1),(94,1),(96,1),(122,1),(123,1),(124,1)}
       111:{2,3,5,6}:{(93,1),(94,1),(97,1),(100,1),(125,1),(129,1)}
       112:{2,4,7}:{(94,1),(98,1),(125,1)}
       113:{1,3,5,6}:{(95,1),(96,1),(97,1),(102,1),(126,1),(130,1)}
       114:{1,4,7}:{(96,1),(98,1),(126,1)}
       115:{3,4,6}:{(97,1),(98,1),(125,1),(126,1),(127,1)}
       116:{1,2,3,6}:{(99,1),(100,1),(102,1),(128,1)}
       117:{1,2,4,7}:{(99,1),(101,1),(103,1),(128,1)}
       118:{2,3,4,6}:{(100,1),(101,1),(104,1),(125,1),(128,1),(129,1),(137,1)}
       119:{1,3,4,6}:{(102,1),(103,1),(104,1),(126,1),(128,1),(130,1),(137,1)}
       120:{3,5}:{(104,1),(105,1)}
       121:{1,2,4,6}:{(106,1),(107,1),(108,1),(109,1),(131,1)}
       122:{3,5,7}:{(108,1),(131,1),(132,1),(139,1)}
       123:{1,2,3,5,6}:{(109,1),(110,1),(111,1),(113,1),(116,1),(131,1),(133,1),(136,1),(139,1)}
       124:{1,2,4,7}:{(110,1),(112,1),(114,1),(132,1),(133,1)}
       125:{2,4,6}:{(111,1),(112,1),(115,1),(134,1)}
       126:{1,4,6}:{(113,1),(114,1),(115,1),(135,1)}
       127:{3,4,5}:{(115,1),(120,1),(134,1),(135,1),(139,1)}
       128:{1,2,4,6}:{(116,1),(117,1),(118,1),(119,1),(136,1)}
       129:{2,3,5}:{(118,1),(120,1),(134,1),(136,1),(139,1)}
       130:{1,3,5}:{(119,1),(120,1),(135,1),(136,1),(139,1)}
       131:{3,6}:{(121,1),(122,1)}
       132:{3,4,7}:{(122,1),(124,1),(137,1)}
       133:{1,2,4,6}:{(123,1),(124,1),(125,1),(126,1),(137,1),(138,1)}
       134:{2,4,5}:{(125,1),(127,1),(129,1)}
       135:{1,4,5}:{(126,1),(127,1),(130,1)}
       136:{1,2,5}:{(128,1),(129,1),(130,1)}
       137:{3,4,6}:{(131,1),(132,1),(133,1),(139,1)}
       138:{1,2,4,5}:{(133,1),(134,1),(135,1),(136,1),(139,1)}
       139:{3,5}:{(137,1),(138,1)}

2146 :  0:{1,2,3,4,6,7}:{(1,1),(4,1),(6,1),(17,1),(21,1),(41,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(32,1),(51,1)}
        2:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,5,6}:{(1,1),(6,1),(17,1),(20,1),(40,1)}
        4:{1,2,3,4,7}:{(8,1),(9,1),(47,1)}
        5:{3,4,5,7}:{(2,1),(12,1),(32,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(12,1)}
        7:{1,2,3,5,6,7}:{(3,1),(14,1),(27,1),(32,1),(51,1),(52,1),(53,1)}
        8:{1,2,3,4,6}:{(4,1),(15,1),(17,1),(35,1)}
        9:{1,2,3,5,7}:{(4,1),(15,1),(16,1),(17,1)}
       10:{1,3,4,5,7}:{(5,1),(16,1),(18,1),(34,1),(42,1),(55,1)}
       11:{2,3,4,5,7}:{(5,1),(16,1),(19,1),(34,1),(43,1),(55,1)}
       12:{3,4,6}:{(5,1),(6,1),(20,1)}
       13:{1,2,4,5,6}:{(6,1),(20,1),(22,1),(37,1),(38,1),(40,1)}
       14:{1,2,4,6,7}:{(6,1),(7,1),(21,1),(22,1),(57,1),(58,1)}
       15:{1,2,3,5}:{(8,1),(23,1)}
       16:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(47,1),(51,1)}
       17:{1,2,3,6}:{(9,1),(26,1)}
       18:{1,3,4,6}:{(10,1),(12,1),(26,1),(28,1),(45,1)}
       19:{2,3,4,6}:{(11,1),(12,1),(26,1),(30,1),(45,1)}
       20:{3,5,6}:{(12,1),(13,1),(32,1)}
       21:{3,4,6,7}:{(12,1),(14,1),(32,1)}
       22:{1,2,4,5,7}:{(13,1),(14,1),(32,1),(48,1),(49,1),(51,1)}
       23:{1,2,4,5}:{(15,1),(34,1),(35,1)}
       24:{1,2,3,5,6}:{(15,1),(17,1),(35,1),(36,1),(40,1),(54,1)}
       25:{3,4,5,6}:{(20,1),(37,1),(38,1),(39,1),(54,1)}
       26:{1,2,4,6}:{(16,1),(17,1),(18,1),(19,1),(40,1)}
       27:{1,2,3,6,7}:{(17,1),(36,1),(41,1),(62,1)}
       28:{1,3,5,6}:{(18,1),(20,1),(37,1),(40,1),(42,1),(54,1)}
       29:{1,3,4,6,7}:{(18,1),(21,1),(41,1),(42,1),(55,1),(57,1),(62,1)}
       30:{2,3,5,6}:{(19,1),(20,1),(38,1),(40,1),(43,1),(54,1)}
       31:{2,3,4,6,7}:{(19,1),(21,1),(41,1),(43,1),(55,1),(58,1),(62,1)}
       32:{3,5,7}:{(20,1),(21,1),(22,1)}
       33:{1,2,4,5,6,7}:{(22,1),(44,1),(57,1),(58,1),(59,1)}
       34:{3,4,5}:{(23,1),(45,1)}
       35:{1,2,4,6}:{(23,1),(24,1),(45,1),(47,1)}
       36:{1,2,3,5,7}:{(24,1),(27,1),(47,1),(51,1),(60,1)}
       37:{1,4,5,6}:{(25,1),(28,1),(48,1)}
       38:{2,4,5,6}:{(25,1),(30,1),(49,1)}
       39:{3,4,5,7}:{(25,1),(32,1),(48,1),(49,1),(50,1),(60,1)}
       40:{1,2,5,6}:{(26,1),(28,1),(30,1),(51,1)}
       41:{1,2,4,6,7}:{(26,1),(27,1),(29,1),(31,1),(47,1),(51,1)}
       42:{1,3,5,7}:{(28,1),(29,1),(32,1),(48,1),(51,1),(60,1)}
       43:{2,3,5,7}:{(30,1),(31,1),(32,1),(49,1),(51,1),(60,1)}
       44:{3,5,6,7}:{(32,1),(33,1),(50,1)}
       45:{3,4,6}:{(34,1),(35,1),(54,1),(55,1)}
       46:{1,2,4,5,6}:{(35,1),(37,1),(38,1),(40,1),(54,1),(56,1)}
       47:{1,2,4,7}:{(35,1),(36,1),(55,1)}
       48:{1,4,5,7}:{(37,1),(39,1),(42,1),(57,1)}
       49:{2,4,5,7}:{(38,1),(39,1),(43,1),(58,1)}
       50:{3,4,6,7}:{(39,1),(44,1),(57,1),(58,1),(62,1)}
       51:{1,2,5,7}:{(40,1),(41,1),(42,1),(43,1)}
       52:{1,3,5,6,7}:{(42,1),(44,1),(57,1),(59,1),(62,1)}
       53:{2,3,5,6,7}:{(43,1),(44,1),(58,1),(59,1),(62,1)}
       54:{3,5,6}:{(45,1),(46,1),(60,1)}
       55:{3,4,7}:{(45,1),(47,1),(60,1)}
       56:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(49,1),(51,1),(60,1),(61,1)}
       57:{1,4,6,7}:{(48,1),(50,1),(52,1)}
       58:{2,4,6,7}:{(49,1),(50,1),(53,1)}
       59:{1,2,5,6,7}:{(51,1),(52,1),(53,1),(61,1)}
       60:{3,5,7}:{(54,1),(55,1),(56,1),(62,1)}
       61:{1,2,4,6,7}:{(56,1),(57,1),(58,1),(59,1),(62,1)}
       62:{3,6,7}:{(60,1),(61,1)}

2147 :  0:{1,2,3,4,7}:{(1,1),(2,1),(30,1),(79,1)}
        1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(40,1),(70,1)}
        2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        3:{1,3,4,5,7}:{(4,1),(7,1),(18,1),(22,1),(44,1)}
        4:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(10,1),(26,1),(30,1)}
        5:{1,2,3,5}:{(1,1),(10,1)}
        6:{1,2,3,6}:{(2,1),(9,1)}
        7:{1,3,4,6}:{(3,1),(9,1),(13,1),(29,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(18,1),(36,1),(44,1)}
        9:{1,2,4,6}:{(4,1),(6,1),(7,1),(15,1),(16,1)}
       10:{1,2,4,5}:{(5,1),(18,1),(19,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(16,1),(19,1),(20,1),(38,1),(67,1),(70,1)}
       12:{1,2,3,6,7}:{(6,1),(17,1),(20,1),(66,1),(82,1)}
       13:{1,3,5,6}:{(7,1),(16,1),(21,1),(22,1),(38,1)}
       14:{1,3,4,6,7}:{(7,1),(17,1),(22,1),(44,1),(45,1),(66,1)}
       15:{2,3,4,6}:{(8,1),(9,1),(23,1),(29,1)}
       16:{1,2,5,6}:{(9,1),(13,1),(23,1),(26,1)}
       17:{1,2,4,6,7}:{(9,1),(12,1),(14,1),(24,1),(26,1),(30,1)}
       18:{3,4,5}:{(10,1),(29,1)}
       19:{1,2,4,6}:{(10,1),(11,1),(29,1),(30,1)}
       20:{1,2,3,5,7}:{(11,1),(12,1),(26,1),(30,1),(55,1),(78,1),(79,1)}
       21:{1,4,5,6}:{(13,1),(32,1),(33,1)}
       22:{1,3,5,7}:{(13,1),(14,1),(26,1),(33,1),(55,1)}
       23:{2,3,5,6}:{(15,1),(16,1),(35,1),(36,1),(38,1)}
       24:{2,3,4,6,7}:{(15,1),(17,1),(36,1),(44,1),(63,1),(66,1)}
       25:{1,2,4,5,6}:{(16,1),(19,1),(21,1),(35,1),(38,1),(39,1),(46,1),(64,1),(67,1)}
       26:{1,2,5,7}:{(16,1),(17,1),(22,1),(36,1)}
       27:{2,3,4,5}:{(18,1),(41,1),(42,1)}
       28:{1,3,4,5}:{(18,1),(41,1),(43,1)}
       29:{3,4,6}:{(18,1),(19,1),(38,1),(44,1)}
       30:{1,2,4,7}:{(19,1),(20,1),(44,1)}
       31:{1,3,5,6,7}:{(22,1),(37,1),(45,1),(48,1),(66,1)}
       32:{3,4,5,6}:{(21,1),(38,1),(46,1),(47,1)}
       33:{1,4,5,7}:{(21,1),(22,1),(45,1),(47,1)}
       34:{1,4,5,6,7}:{(45,1),(48,1)}
       35:{2,4,5,6}:{(23,1),(50,1),(51,1)}
       36:{2,3,5,7}:{(23,1),(24,1),(26,1),(51,1),(55,1)}
       37:{1,2,5,6,7}:{(26,1),(31,1),(49,1),(52,1),(62,1),(83,1)}
       38:{3,5,6}:{(25,1),(29,1),(55,1)}
       39:{1,2,4,5,7}:{(25,1),(26,1),(30,1),(33,1),(51,1),(52,1),(55,1),(61,1),(75,1),(78,1)}
       40:{1,2,3,4}:{(56,1)}
       41:{1,2,4,5}:{(27,1),(28,1),(56,1),(57,1)}
       42:{2,3,4,6}:{(27,1),(29,1),(53,1),(57,1),(58,1)}
       43:{1,3,4,6}:{(28,1),(29,1),(54,1),(57,1),(59,1)}
       44:{3,4,7}:{(29,1),(30,1),(55,1)}
       45:{1,4,6,7}:{(31,1),(33,1),(60,1)}
       46:{2,4,5,6}:{(32,1),(53,1),(61,1)}
       47:{3,4,5,7}:{(32,1),(33,1),(55,1),(60,1),(61,1)}
       48:{3,5,6,7}:{(34,1),(60,1),(62,1)}
       49:{2,3,5,6,7}:{(36,1),(37,1),(63,1),(66,1),(80,1)}
       50:{3,4,5,6}:{(35,1),(38,1),(64,1),(65,1)}
       51:{2,4,5,7}:{(35,1),(36,1),(63,1),(65,1)}
       52:{1,2,4,6,7}:{(37,1),(39,1),(45,1),(63,1),(66,1),(72,1),(81,1),(82,1)}
       53:{2,3,5,6}:{(38,1),(42,1),(46,1),(67,1),(68,1)}
       54:{1,3,5,6}:{(38,1),(43,1),(64,1),(67,1),(69,1)}
       55:{3,5,7}:{(38,1),(39,1),(44,1),(66,1)}
       56:{1,2,3,5}:{(40,1),(41,1),(70,1)}
       57:{1,2,4,6}:{(41,1),(42,1),(43,1),(67,1),(70,1),(71,1)}
       58:{2,3,4,7}:{(42,1),(44,1),(68,1),(71,1)}
       59:{1,3,4,7}:{(43,1),(44,1),(69,1),(71,1)}
       60:{3,4,6,7}:{(45,1),(47,1),(48,1),(66,1),(72,1)}
       61:{2,4,5,7}:{(46,1),(47,1),(68,1),(72,1)}
       62:{2,5,6,7}:{(48,1),(72,1)}
       63:{2,4,6,7}:{(49,1),(51,1),(74,1)}
       64:{1,4,5,6}:{(50,1),(54,1),(75,1)}
       65:{3,4,5,7}:{(50,1),(51,1),(55,1),(74,1),(75,1)}
       66:{3,6,7}:{(52,1),(55,1)}
       67:{1,2,5,6}:{(53,1),(54,1),(57,1),(78,1)}
       68:{2,3,5,7}:{(53,1),(55,1),(58,1),(61,1),(76,1),(78,1)}
       69:{1,3,5,7}:{(54,1),(55,1),(59,1),(75,1),(77,1),(78,1)}
       70:{1,2,3,6}:{(56,1),(57,1),(79,1)}
       71:{1,2,4,7}:{(57,1),(58,1),(59,1),(78,1),(79,1)}
       72:{2,4,6,7}:{(60,1),(61,1),(62,1),(76,1)}
       73:{2,4,5,6,7}:{(63,1),(80,1)}
       74:{3,4,6,7}:{(63,1),(65,1),(66,1),(80,1),(81,1)}
       75:{1,4,5,7}:{(64,1),(65,1),(69,1),(81,1)}
       76:{2,3,6,7}:{(66,1),(68,1),(72,1),(82,1)}
       77:{1,3,6,7}:{(66,1),(69,1),(81,1),(82,1)}
       78:{1,2,5,7}:{(67,1),(68,1),(69,1),(71,1),(82,1)}
       79:{1,2,3,7}:{(70,1),(71,1)}
       80:{3,5,6,7}:{(73,1),(74,1),(83,1)}
       81:{1,4,6,7}:{(74,1),(75,1),(77,1),(83,1)}
       82:{1,2,6,7}:{(76,1),(77,1),(78,1)}
       83:{1,5,6,7}:{(80,1),(81,1)}

2148 :  0:{1,2,3,4,7}:{(1,1),(2,1),(30,1),(79,1)}
        1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(40,1),(70,1)}
        2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        3:{2,3,4,5,7}:{(4,1),(7,1),(18,1),(22,1),(44,1)}
        4:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(10,1),(26,1),(30,1)}
        5:{1,2,3,5}:{(1,1),(10,1)}
        6:{1,2,3,6}:{(2,1),(9,1)}
        7:{2,3,4,6}:{(3,1),(9,1),(13,1),(29,1)}
        8:{1,3,4,5,7}:{(4,1),(15,1),(18,1),(36,1),(44,1)}
        9:{1,2,4,6}:{(4,1),(6,1),(7,1),(15,1),(16,1)}
       10:{1,2,4,5}:{(5,1),(18,1),(19,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(16,1),(19,1),(20,1),(38,1),(67,1),(70,1)}
       12:{1,2,3,6,7}:{(6,1),(17,1),(20,1),(66,1),(82,1)}
       13:{2,3,5,6}:{(7,1),(16,1),(21,1),(22,1),(38,1)}
       14:{2,3,4,6,7}:{(7,1),(17,1),(22,1),(44,1),(45,1),(66,1)}
       15:{1,3,4,6}:{(8,1),(9,1),(23,1),(29,1)}
       16:{1,2,5,6}:{(9,1),(13,1),(23,1),(26,1)}
       17:{1,2,4,6,7}:{(9,1),(12,1),(14,1),(24,1),(26,1),(30,1)}
       18:{3,4,5}:{(10,1),(29,1)}
       19:{1,2,4,6}:{(10,1),(11,1),(29,1),(30,1)}
       20:{1,2,3,5,7}:{(11,1),(12,1),(26,1),(30,1),(55,1),(78,1),(79,1)}
       21:{2,4,5,6}:{(13,1),(32,1),(33,1)}
       22:{2,3,5,7}:{(13,1),(14,1),(26,1),(33,1),(55,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(35,1),(36,1),(38,1)}
       24:{1,3,4,6,7}:{(15,1),(17,1),(36,1),(44,1),(63,1),(66,1)}
       25:{1,2,4,5,6}:{(16,1),(19,1),(21,1),(35,1),(38,1),(39,1),(46,1),(64,1),(67,1)}
       26:{1,2,5,7}:{(16,1),(17,1),(22,1),(36,1)}
       27:{2,3,4,5}:{(18,1),(41,1),(42,1)}
       28:{1,3,4,5}:{(18,1),(41,1),(43,1)}
       29:{3,4,6}:{(18,1),(19,1),(38,1),(44,1)}
       30:{1,2,4,7}:{(19,1),(20,1),(44,1)}
       31:{2,3,5,6,7}:{(22,1),(37,1),(45,1),(48,1),(66,1)}
       32:{3,4,5,6}:{(21,1),(38,1),(46,1),(47,1)}
       33:{2,4,5,7}:{(21,1),(22,1),(45,1),(47,1)}
       34:{2,4,5,6,7}:{(45,1),(48,1)}
       35:{1,4,5,6}:{(23,1),(50,1),(51,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(26,1),(51,1),(55,1)}
       37:{1,2,5,6,7}:{(26,1),(31,1),(49,1),(52,1),(62,1),(83,1)}
       38:{3,5,6}:{(25,1),(29,1),(55,1)}
       39:{1,2,4,5,7}:{(25,1),(26,1),(30,1),(33,1),(51,1),(52,1),(55,1),(61,1),(75,1),(78,1)}
       40:{1,2,3,4}:{(56,1)}
       41:{1,2,4,5}:{(27,1),(28,1),(56,1),(57,1)}
       42:{2,3,4,6}:{(27,1),(29,1),(53,1),(57,1),(58,1)}
       43:{1,3,4,6}:{(28,1),(29,1),(54,1),(57,1),(59,1)}
       44:{3,4,7}:{(29,1),(30,1),(55,1)}
       45:{2,4,6,7}:{(31,1),(33,1),(60,1)}
       46:{1,4,5,6}:{(32,1),(54,1),(61,1)}
       47:{3,4,5,7}:{(32,1),(33,1),(55,1),(60,1),(61,1)}
       48:{3,5,6,7}:{(34,1),(60,1),(62,1)}
       49:{1,3,5,6,7}:{(36,1),(37,1),(63,1),(66,1),(80,1)}
       50:{3,4,5,6}:{(35,1),(38,1),(64,1),(65,1)}
       51:{1,4,5,7}:{(35,1),(36,1),(63,1),(65,1)}
       52:{1,2,4,6,7}:{(37,1),(39,1),(45,1),(63,1),(66,1),(72,1),(81,1),(82,1)}
       53:{2,3,5,6}:{(38,1),(42,1),(64,1),(67,1),(68,1)}
       54:{1,3,5,6}:{(38,1),(43,1),(46,1),(67,1),(69,1)}
       55:{3,5,7}:{(38,1),(39,1),(44,1),(66,1)}
       56:{1,2,3,5}:{(40,1),(41,1),(70,1)}
       57:{1,2,4,6}:{(41,1),(42,1),(43,1),(67,1),(70,1),(71,1)}
       58:{2,3,4,7}:{(42,1),(44,1),(68,1),(71,1)}
       59:{1,3,4,7}:{(43,1),(44,1),(69,1),(71,1)}
       60:{3,4,6,7}:{(45,1),(47,1),(48,1),(66,1),(72,1)}
       61:{1,4,5,7}:{(46,1),(47,1),(69,1),(72,1)}
       62:{1,5,6,7}:{(48,1),(72,1)}
       63:{1,4,6,7}:{(49,1),(51,1),(74,1)}
       64:{2,4,5,6}:{(50,1),(53,1),(75,1)}
       65:{3,4,5,7}:{(50,1),(51,1),(55,1),(74,1),(75,1)}
       66:{3,6,7}:{(52,1),(55,1)}
       67:{1,2,5,6}:{(53,1),(54,1),(57,1),(78,1)}
       68:{2,3,5,7}:{(53,1),(55,1),(58,1),(75,1),(76,1),(78,1)}
       69:{1,3,5,7}:{(54,1),(55,1),(59,1),(61,1),(77,1),(78,1)}
       70:{1,2,3,6}:{(56,1),(57,1),(79,1)}
       71:{1,2,4,7}:{(57,1),(58,1),(59,1),(78,1),(79,1)}
       72:{1,4,6,7}:{(60,1),(61,1),(62,1),(77,1)}
       73:{1,4,5,6,7}:{(63,1),(80,1)}
       74:{3,4,6,7}:{(63,1),(65,1),(66,1),(80,1),(81,1)}
       75:{2,4,5,7}:{(64,1),(65,1),(68,1),(81,1)}
       76:{2,3,6,7}:{(66,1),(68,1),(81,1),(82,1)}
       77:{1,3,6,7}:{(66,1),(69,1),(72,1),(82,1)}
       78:{1,2,5,7}:{(67,1),(68,1),(69,1),(71,1),(82,1)}
       79:{1,2,3,7}:{(70,1),(71,1)}
       80:{3,5,6,7}:{(73,1),(74,1),(83,1)}
       81:{2,4,6,7}:{(74,1),(75,1),(76,1),(83,1)}
       82:{1,2,6,7}:{(76,1),(77,1),(78,1)}
       83:{2,5,6,7}:{(80,1),(81,1)}

2149 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(18,1),(37,1),(38,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(24,1),(47,1)}
        2:{1,2,4,5,7}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,5,6}:{(1,1),(5,1),(12,1),(34,1),(37,1)}
        4:{3,4,5,7}:{(2,1),(10,1),(24,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(10,1)}
        6:{1,2,3,5,6,7}:{(3,1),(11,1),(24,1),(43,1),(44,1),(47,1),(48,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(29,1),(30,1),(34,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(16,1),(35,1),(51,1),(62,1)}
        9:{1,3,4,5,7}:{(4,1),(15,1),(17,1),(36,1),(51,1),(62,1)}
       10:{3,4,6}:{(4,1),(5,1),(12,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(13,1),(18,1),(49,1),(50,1)}
       12:{3,5,6}:{(7,1),(10,1),(24,1)}
       13:{1,2,4,5,7}:{(7,1),(11,1),(24,1),(41,1),(42,1),(47,1)}
       14:{1,2,3,4,7}:{(21,1),(25,1),(60,1)}
       15:{1,2,4,5,7}:{(8,1),(9,1),(25,1),(26,1),(45,1),(47,1),(60,1)}
       16:{2,3,4,6}:{(8,1),(10,1),(22,1),(26,1),(58,1)}
       17:{1,3,4,6}:{(9,1),(10,1),(23,1),(26,1),(58,1)}
       18:{3,4,6,7}:{(10,1),(11,1),(24,1)}
       19:{3,4,5,6}:{(12,1),(29,1),(30,1),(31,1),(52,1)}
       20:{1,2,4,5,6,7}:{(13,1),(32,1),(49,1),(50,1),(54,1)}
       21:{1,2,3,4,6}:{(14,1),(33,1),(37,1),(55,1)}
       22:{2,3,5,6}:{(12,1),(16,1),(29,1),(34,1),(35,1),(52,1)}
       23:{1,3,5,6}:{(12,1),(17,1),(30,1),(34,1),(36,1),(52,1)}
       24:{3,5,7}:{(12,1),(13,1),(18,1)}
       25:{1,2,3,5,7}:{(14,1),(15,1),(33,1),(37,1)}
       26:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(37,1)}
       27:{2,3,4,6,7}:{(16,1),(18,1),(35,1),(38,1),(49,1),(61,1),(62,1)}
       28:{1,3,4,6,7}:{(17,1),(18,1),(36,1),(38,1),(50,1),(61,1),(62,1)}
       29:{2,4,5,6}:{(19,1),(22,1),(41,1)}
       30:{1,4,5,6}:{(19,1),(23,1),(42,1)}
       31:{3,4,5,7}:{(19,1),(24,1),(39,1),(41,1),(42,1),(59,1)}
       32:{3,5,6,7}:{(20,1),(24,1),(39,1)}
       33:{1,2,3,5}:{(21,1),(45,1)}
       34:{1,2,5,6}:{(22,1),(23,1),(26,1),(47,1)}
       35:{2,3,5,7}:{(22,1),(24,1),(27,1),(41,1),(47,1),(59,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(28,1),(42,1),(47,1),(59,1)}
       37:{1,2,3,6}:{(25,1),(26,1)}
       38:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(47,1),(48,1),(60,1)}
       39:{3,4,6,7}:{(31,1),(32,1),(49,1),(50,1),(61,1)}
       40:{1,2,4,5,6}:{(29,1),(30,1),(34,1),(52,1),(53,1),(55,1)}
       41:{2,4,5,7}:{(29,1),(31,1),(35,1),(49,1)}
       42:{1,4,5,7}:{(30,1),(31,1),(36,1),(50,1)}
       43:{2,3,5,6,7}:{(32,1),(35,1),(49,1),(54,1),(61,1)}
       44:{1,3,5,6,7}:{(32,1),(36,1),(50,1),(54,1),(61,1)}
       45:{1,2,4,5}:{(33,1),(51,1),(55,1)}
       46:{1,2,3,5,6}:{(33,1),(34,1),(37,1),(52,1),(55,1),(56,1)}
       47:{1,2,5,7}:{(34,1),(35,1),(36,1),(38,1)}
       48:{1,2,3,6,7}:{(37,1),(38,1),(56,1),(61,1)}
       49:{2,4,6,7}:{(39,1),(41,1),(43,1)}
       50:{1,4,6,7}:{(39,1),(42,1),(44,1)}
       51:{3,4,5}:{(45,1),(58,1)}
       52:{3,5,6}:{(40,1),(58,1),(59,1)}
       53:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(47,1),(57,1),(59,1),(60,1)}
       54:{1,2,5,6,7}:{(43,1),(44,1),(47,1),(57,1)}
       55:{1,2,4,6}:{(45,1),(46,1),(58,1),(60,1)}
       56:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(59,1),(60,1)}
       57:{1,2,4,6,7}:{(49,1),(50,1),(53,1),(54,1),(61,1)}
       58:{3,4,6}:{(51,1),(52,1),(55,1),(62,1)}
       59:{3,5,7}:{(52,1),(53,1),(61,1),(62,1)}
       60:{1,2,4,7}:{(55,1),(56,1),(62,1)}
       61:{3,6,7}:{(57,1),(59,1)}
       62:{3,4,7}:{(58,1),(59,1),(60,1)}

2150 :   0:{3,4,5,6,7}:{(1,1),(2,1),(16,1),(139,1)}
         1:{2,4,5,6,7}:{(0,1),(4,1),(145,1)}
         2:{1,4,5,6,7}:{(0,1),(5,1),(147,1)}
         3:{1,2,3,4,6,7}:{(9,1),(11,1),(13,1),(44,1),(48,1),(52,1),(95,1),(99,1),(102,1)}
         4:{2,3,5,6,7}:{(1,1),(10,1),(14,1),(16,1),(134,1)}
         5:{1,3,5,6,7}:{(2,1),(12,1),(15,1),(16,1),(137,1)}
         6:{1,2,4,5,6,7}:{(1,1),(2,1),(14,1),(15,1),(16,1),(55,1),(57,1),(103,1)}
         7:{2,3,4,5,6}:{(18,1),(19,1),(33,1),(106,1),(114,1)}
         8:{1,3,4,5,6}:{(21,1),(22,1),(33,1),(110,1),(118,1)}
         9:{1,2,3,4,7}:{(17,1),(23,1),(108,1)}
        10:{2,3,4,6,7}:{(4,1),(19,1),(25,1),(34,1)}
        11:{1,2,3,4,7}:{(20,1),(26,1),(112,1)}
        12:{1,3,4,6,7}:{(5,1),(22,1),(28,1),(34,1)}
        13:{1,2,3,5,7}:{(3,1),(29,1),(30,1),(116,1),(120,1),(123,1)}
        14:{1,2,5,6,7}:{(4,1),(25,1),(31,1),(116,1)}
        15:{1,2,5,6,7}:{(5,1),(28,1),(32,1),(120,1)}
        16:{3,5,6,7}:{(6,1),(34,1),(123,1)}
        17:{1,2,3,4,6}:{(9,1),(35,1),(44,1),(84,1)}
        18:{1,2,4,5,6}:{(7,1),(37,1),(38,1),(54,1),(84,1),(94,1)}
        19:{2,3,4,5,7}:{(7,1),(10,1),(38,1),(58,1),(126,1),(134,1)}
        20:{1,2,3,4,6}:{(11,1),(39,1),(48,1),(89,1)}
        21:{1,2,4,5,6}:{(8,1),(41,1),(42,1),(56,1),(89,1),(98,1)}
        22:{1,3,4,5,7}:{(8,1),(12,1),(42,1),(58,1),(130,1),(137,1)}
        23:{1,2,3,5,7}:{(9,1),(35,1),(43,1),(44,1)}
        24:{1,3,4,5,7}:{(36,1),(43,1),(45,1),(51,1),(87,1),(96,1)}
        25:{1,2,4,6,7}:{(10,1),(14,1),(38,1),(46,1),(55,1)}
        26:{1,2,3,5,7}:{(11,1),(39,1),(47,1),(48,1)}
        27:{2,3,4,5,7}:{(40,1),(47,1),(49,1),(51,1),(92,1),(100,1)}
        28:{1,2,4,6,7}:{(12,1),(15,1),(42,1),(50,1),(57,1)}
        29:{1,2,4,5,7}:{(13,1),(51,1),(52,1)}
        30:{1,2,3,5,6}:{(13,1),(44,1),(48,1),(52,1),(94,1),(98,1),(101,1)}
        31:{1,3,5,6,7}:{(14,1),(16,1),(46,1),(55,1),(96,1)}
        32:{2,3,5,6,7}:{(15,1),(16,1),(50,1),(57,1),(100,1)}
        33:{3,4,5,6}:{(54,1),(56,1),(58,1),(101,1)}
        34:{3,4,6,7}:{(16,1),(55,1),(57,1),(58,1)}
        35:{1,2,3,5}:{(17,1),(59,1)}
        36:{1,3,4,5}:{(59,1),(61,1)}
        37:{1,3,5,6}:{(18,1),(61,1),(62,1)}
        38:{1,2,4,5,7}:{(18,1),(19,1),(25,1),(62,1),(80,1),(108,1),(116,1)}
        39:{1,2,3,5}:{(20,1),(63,1)}
        40:{2,3,4,5}:{(63,1),(65,1)}
        41:{2,3,5,6}:{(21,1),(65,1),(66,1)}
        42:{1,2,4,5,7}:{(21,1),(22,1),(28,1),(66,1),(81,1),(112,1),(120,1)}
        43:{1,2,4,5,7}:{(23,1),(24,1),(59,1),(67,1),(68,1),(108,1),(116,1)}
        44:{1,2,3,6}:{(23,1),(68,1)}
        45:{1,3,4,6}:{(24,1),(68,1),(70,1),(77,1)}
        46:{1,3,6,7}:{(25,1),(62,1)}
        47:{1,2,4,5,7}:{(26,1),(27,1),(63,1),(72,1),(73,1),(112,1),(120,1)}
        48:{1,2,3,6}:{(26,1),(73,1)}
        49:{2,3,4,6}:{(27,1),(73,1),(75,1),(77,1)}
        50:{2,3,6,7}:{(28,1),(66,1)}
        51:{3,4,5,7}:{(29,1),(77,1),(123,1)}
        52:{1,2,4,6}:{(29,1),(30,1),(77,1)}
        53:{1,2,3,5,6,7}:{(30,1),(31,1),(32,1),(69,1),(74,1),(79,1),(116,1),(120,1),(123,1),(146,1),(148,1)}
        54:{1,4,5,6}:{(33,1),(70,1),(80,1)}
        55:{1,4,6,7}:{(31,1),(34,1),(80,1)}
        56:{2,4,5,6}:{(33,1),(75,1),(81,1)}
        57:{2,4,6,7}:{(32,1),(34,1),(81,1)}
        58:{3,4,5,7}:{(33,1),(34,1),(80,1),(81,1),(123,1)}
        59:{1,2,4,5}:{(35,1),(36,1),(83,1),(84,1)}
        60:{1,2,3,5,6}:{(35,1),(37,1),(44,1),(84,1),(85,1),(94,1),(125,1)}
        61:{1,3,4,6}:{(36,1),(37,1),(84,1),(87,1)}
        62:{1,3,5,7}:{(37,1),(38,1),(46,1),(87,1)}
        63:{1,2,4,5}:{(39,1),(40,1),(88,1),(89,1)}
        64:{1,2,3,5,6}:{(39,1),(41,1),(48,1),(89,1),(90,1),(98,1),(129,1)}
        65:{2,3,4,6}:{(40,1),(41,1),(89,1),(92,1)}
        66:{2,3,5,7}:{(41,1),(42,1),(50,1),(92,1)}
        67:{2,3,4,5,7}:{(43,1),(51,1),(83,1),(93,1),(126,1),(134,1)}
        68:{1,2,4,6}:{(43,1),(44,1),(45,1),(93,1),(94,1)}
        69:{1,2,3,6,7}:{(44,1),(46,1),(85,1),(95,1),(150,1)}
        70:{1,3,5,6}:{(45,1),(54,1),(94,1),(96,1),(101,1)}
        71:{1,3,4,6,7}:{(45,1),(46,1),(55,1),(87,1),(95,1),(96,1),(102,1)}
        72:{1,3,4,5,7}:{(47,1),(51,1),(88,1),(97,1),(130,1),(137,1)}
        73:{1,2,4,6}:{(47,1),(48,1),(49,1),(97,1),(98,1)}
        74:{1,2,3,6,7}:{(48,1),(50,1),(90,1),(99,1),(151,1)}
        75:{2,3,5,6}:{(49,1),(56,1),(98,1),(100,1),(101,1)}
        76:{2,3,4,6,7}:{(49,1),(50,1),(57,1),(92,1),(99,1),(100,1),(102,1)}
        77:{3,4,6}:{(51,1),(52,1),(101,1)}
        78:{1,2,4,5,6}:{(52,1),(54,1),(56,1),(94,1),(98,1),(101,1),(103,1),(133,1),(136,1)}
        79:{1,2,4,6,7}:{(52,1),(53,1),(55,1),(57,1),(102,1),(103,1),(152,1),(153,1)}
        80:{1,4,5,7}:{(54,1),(55,1),(58,1),(96,1)}
        81:{2,4,5,7}:{(56,1),(57,1),(58,1),(100,1)}
        82:{3,4,5,6,7}:{(58,1),(104,1),(105,1),(140,1)}
        83:{2,3,4,5}:{(59,1),(106,1)}
        84:{1,2,4,6}:{(59,1),(60,1),(61,1),(106,1),(108,1)}
        85:{1,2,3,5,7}:{(60,1),(62,1),(69,1),(108,1),(116,1),(141,1)}
        86:{1,3,4,5,6}:{(61,1),(70,1),(107,1),(109,1),(122,1)}
        87:{1,3,4,7}:{(61,1),(62,1),(108,1)}
        88:{1,3,4,5}:{(63,1),(110,1)}
        89:{1,2,4,6}:{(63,1),(64,1),(65,1),(110,1),(112,1)}
        90:{1,2,3,5,7}:{(64,1),(66,1),(74,1),(112,1),(120,1),(143,1)}
        91:{2,3,4,5,6}:{(65,1),(75,1),(111,1),(113,1),(122,1)}
        92:{2,3,4,7}:{(65,1),(66,1),(112,1)}
        93:{2,3,4,6}:{(67,1),(68,1),(77,1),(114,1)}
        94:{1,2,5,6}:{(68,1),(70,1),(114,1),(116,1)}
        95:{1,2,4,6,7}:{(68,1),(69,1),(71,1),(108,1),(115,1),(116,1)}
        96:{1,3,5,7}:{(70,1),(71,1),(80,1),(116,1),(123,1)}
        97:{1,3,4,6}:{(72,1),(73,1),(77,1),(118,1)}
        98:{1,2,5,6}:{(73,1),(75,1),(118,1),(120,1)}
        99:{1,2,4,6,7}:{(73,1),(74,1),(76,1),(112,1),(119,1),(120,1)}
       100:{2,3,5,7}:{(75,1),(76,1),(81,1),(120,1),(123,1)}
       101:{3,5,6}:{(77,1),(78,1),(123,1)}
       102:{3,4,6,7}:{(77,1),(79,1),(123,1)}
       103:{1,2,4,5,7}:{(78,1),(79,1),(80,1),(81,1),(116,1),(120,1),(123,1),(145,1),(147,1)}
       104:{1,4,5,6,7}:{(80,1),(82,1),(117,1)}
       105:{2,4,5,6,7}:{(81,1),(82,1),(121,1)}
       106:{2,3,4,6}:{(83,1),(84,1),(125,1),(126,1)}
       107:{1,2,4,5,6}:{(84,1),(86,1),(94,1),(125,1),(127,1),(133,1)}
       108:{1,2,4,7}:{(84,1),(85,1),(87,1),(126,1)}
       109:{1,3,4,5,7}:{(86,1),(87,1),(96,1),(127,1),(128,1),(139,1)}
       110:{1,3,4,6}:{(88,1),(89,1),(129,1),(130,1)}
       111:{1,2,4,5,6}:{(89,1),(91,1),(98,1),(129,1),(131,1),(136,1)}
       112:{1,2,4,7}:{(89,1),(90,1),(92,1),(130,1)}
       113:{2,3,4,5,7}:{(91,1),(92,1),(100,1),(131,1),(132,1),(139,1)}
       114:{2,3,5,6}:{(93,1),(94,1),(101,1),(133,1),(134,1)}
       115:{2,3,4,6,7}:{(93,1),(95,1),(102,1),(126,1),(134,1),(150,1),(152,1)}
       116:{1,2,5,7}:{(94,1),(95,1),(96,1),(134,1)}
       117:{1,3,5,6,7}:{(96,1),(104,1),(128,1),(135,1),(140,1)}
       118:{1,3,5,6}:{(97,1),(98,1),(101,1),(136,1),(137,1)}
       119:{1,3,4,6,7}:{(97,1),(99,1),(102,1),(130,1),(137,1),(151,1),(153,1)}
       120:{1,2,5,7}:{(98,1),(99,1),(100,1),(137,1)}
       121:{2,3,5,6,7}:{(100,1),(105,1),(132,1),(138,1),(140,1)}
       122:{3,4,5,6}:{(101,1),(133,1),(136,1),(139,1)}
       123:{3,5,7}:{(101,1),(102,1),(103,1)}
       124:{1,2,4,5,6,7}:{(103,1),(104,1),(105,1),(135,1),(138,1),(140,1),(152,1),(153,1)}
       125:{2,3,5,6}:{(106,1),(107,1),(141,1)}
       126:{2,3,4,7}:{(106,1),(108,1),(141,1)}
       127:{1,2,4,5,7}:{(107,1),(108,1),(109,1),(116,1),(141,1),(142,1),(145,1)}
       128:{1,3,4,6,7}:{(109,1),(117,1),(142,1),(149,1)}
       129:{1,3,5,6}:{(110,1),(111,1),(143,1)}
       130:{1,3,4,7}:{(110,1),(112,1),(143,1)}
       131:{1,2,4,5,7}:{(111,1),(112,1),(113,1),(120,1),(143,1),(144,1),(147,1)}
       132:{2,3,4,6,7}:{(113,1),(121,1),(144,1),(149,1)}
       133:{2,4,5,6}:{(114,1),(122,1),(145,1)}
       134:{2,3,5,7}:{(114,1),(115,1),(116,1),(123,1),(145,1)}
       135:{1,2,5,6,7}:{(116,1),(117,1),(142,1),(146,1)}
       136:{1,4,5,6}:{(118,1),(122,1),(147,1)}
       137:{1,3,5,7}:{(118,1),(119,1),(120,1),(123,1),(147,1)}
       138:{1,2,5,6,7}:{(120,1),(121,1),(144,1),(148,1)}
       139:{3,4,5,7}:{(122,1),(123,1),(145,1),(147,1),(149,1)}
       140:{3,5,6,7}:{(123,1),(124,1),(149,1)}
       141:{2,3,5,7}:{(125,1),(126,1),(127,1),(150,1)}
       142:{1,2,4,6,7}:{(127,1),(128,1),(135,1),(150,1),(152,1)}
       143:{1,3,5,7}:{(129,1),(130,1),(131,1),(151,1)}
       144:{1,2,4,6,7}:{(131,1),(132,1),(138,1),(151,1),(153,1)}
       145:{2,4,5,7}:{(133,1),(134,1),(139,1),(152,1)}
       146:{2,3,5,6,7}:{(134,1),(135,1),(140,1),(150,1),(152,1)}
       147:{1,4,5,7}:{(136,1),(137,1),(139,1),(153,1)}
       148:{1,3,5,6,7}:{(137,1),(138,1),(140,1),(151,1),(153,1)}
       149:{3,4,6,7}:{(139,1),(140,1),(152,1),(153,1)}
       150:{2,3,6,7}:{(141,1),(142,1)}
       151:{1,3,6,7}:{(143,1),(144,1)}
       152:{2,4,6,7}:{(145,1),(146,1),(149,1)}
       153:{1,4,6,7}:{(147,1),(148,1),(149,1)}

2151 :   0:{1,2,3,4,6}:{(1,1),(2,1),(3,1),(4,1),(14,1),(17,1),(20,1),(22,1)}
         1:{1,2,3,4}:{(5,1)}
         2:{1,2,3,4}:{(7,1)}
         3:{1,2,3,4,7}:{(0,1),(9,1),(29,1),(34,1),(43,1)}
         4:{1,2,3,5}:{(0,1),(10,1)}
         5:{1,2,3,5}:{(1,1),(13,1),(14,1)}
         6:{1,3,4,5}:{(13,1),(15,1),(21,1)}
         7:{1,2,3,5}:{(2,1),(16,1),(17,1)}
         8:{2,3,4,5}:{(16,1),(18,1),(21,1)}
         9:{1,2,3,5,7}:{(3,1),(4,1),(19,1),(20,1)}
        10:{1,2,4,5}:{(4,1),(21,1),(22,1)}
        11:{1,2,3,5,6}:{(4,1),(14,1),(17,1),(20,1),(22,1),(23,1),(48,1),(52,1),(56,1),(59,1)}
        12:{3,4,5,6}:{(24,1),(25,1),(26,1),(59,1),(86,1)}
        13:{1,2,4,5}:{(5,1),(6,1),(27,1),(28,1)}
        14:{1,2,3,6}:{(5,1),(28,1),(29,1)}
        15:{1,3,4,6}:{(6,1),(28,1),(30,1),(31,1),(41,1)}
        16:{1,2,4,5}:{(7,1),(8,1),(32,1),(33,1)}
        17:{1,2,3,6}:{(7,1),(33,1),(34,1)}
        18:{2,3,4,6}:{(8,1),(33,1),(35,1),(36,1),(41,1)}
        19:{1,2,4,5,7}:{(9,1),(10,1),(37,1),(38,1),(43,1),(74,1)}
        20:{1,2,3,6}:{(9,1),(38,1)}
        21:{3,4,5}:{(10,1),(41,1)}
        22:{1,2,4,6}:{(10,1),(11,1),(41,1),(43,1)}
        23:{1,2,3,5,7}:{(11,1),(29,1),(34,1),(39,1),(43,1),(66,1),(70,1),(74,1),(78,1)}
        24:{1,4,5,6}:{(12,1),(30,1),(44,1)}
        25:{2,4,5,6}:{(12,1),(35,1),(45,1)}
        26:{3,4,5,7}:{(12,1),(44,1),(45,1),(46,1),(78,1),(95,1)}
        27:{2,3,4,5}:{(13,1),(21,1),(47,1)}
        28:{1,2,4,6}:{(13,1),(14,1),(15,1),(47,1),(48,1),(49,1)}
        29:{1,2,3,7}:{(14,1),(49,1)}
        30:{1,3,5,6}:{(15,1),(24,1),(48,1),(50,1),(59,1)}
        31:{1,3,4,7}:{(15,1),(49,1),(50,1),(60,1)}
        32:{1,3,4,5}:{(16,1),(21,1),(51,1)}
        33:{1,2,4,6}:{(16,1),(17,1),(18,1),(51,1),(52,1),(53,1)}
        34:{1,2,3,7}:{(17,1),(53,1)}
        35:{2,3,5,6}:{(18,1),(25,1),(52,1),(54,1),(59,1)}
        36:{2,3,4,7}:{(18,1),(53,1),(54,1),(60,1)}
        37:{3,4,5,7}:{(19,1),(21,1),(55,1),(60,1),(87,1)}
        38:{1,2,4,6}:{(19,1),(20,1),(55,1),(56,1)}
        39:{1,2,3,6,7}:{(20,1),(23,1),(57,1),(82,1),(85,1),(90,1)}
        40:{4,5,6,7}:{(58,1),(100,1)}
        41:{3,4,6}:{(21,1),(22,1),(59,1),(60,1)}
        42:{1,2,4,5,6}:{(22,1),(24,1),(25,1),(48,1),(52,1),(56,1),(59,1),(61,1),(80,1),(83,1),(86,1)}
        43:{1,2,4,7}:{(22,1),(23,1),(60,1)}
        44:{1,4,5,7}:{(24,1),(26,1),(50,1),(62,1)}
        45:{2,4,5,7}:{(25,1),(26,1),(54,1),(63,1)}
        46:{3,4,6,7}:{(26,1),(58,1),(62,1),(63,1),(90,1),(100,1)}
        47:{2,3,4,6}:{(27,1),(28,1),(41,1),(64,1),(65,1)}
        48:{1,2,5,6}:{(28,1),(30,1),(64,1),(66,1)}
        49:{1,2,4,7}:{(28,1),(29,1),(31,1),(65,1),(66,1)}
        50:{1,3,5,7}:{(30,1),(31,1),(44,1),(66,1),(67,1),(78,1)}
        51:{1,3,4,6}:{(32,1),(33,1),(41,1),(68,1),(69,1)}
        52:{1,2,5,6}:{(33,1),(35,1),(68,1),(70,1)}
        53:{1,2,4,7}:{(33,1),(34,1),(36,1),(69,1),(70,1)}
        54:{2,3,5,7}:{(35,1),(36,1),(45,1),(70,1),(71,1),(78,1)}
        55:{3,4,6}:{(37,1),(38,1),(72,1)}
        56:{1,2,5,6}:{(38,1),(72,1),(74,1)}
        57:{1,2,4,6,7}:{(38,1),(39,1),(43,1),(73,1),(74,1)}
        58:{3,5,6,7}:{(40,1),(46,1),(75,1),(76,1)}
        59:{3,5,6}:{(41,1),(42,1),(78,1)}
        60:{3,4,7}:{(41,1),(43,1),(78,1)}
        61:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(45,1),(66,1),(70,1),(74,1),(78,1),(79,1),(91,1),(93,1),(95,1)}
        62:{1,4,6,7}:{(44,1),(46,1),(67,1),(75,1)}
        63:{2,4,6,7}:{(45,1),(46,1),(71,1),(76,1)}
        64:{2,3,5,6}:{(47,1),(48,1),(59,1),(80,1),(81,1)}
        65:{2,3,4,7}:{(47,1),(49,1),(60,1),(81,1)}
        66:{1,2,5,7}:{(48,1),(49,1),(50,1),(81,1),(82,1)}
        67:{1,3,6,7}:{(50,1),(62,1),(82,1),(90,1)}
        68:{1,3,5,6}:{(51,1),(52,1),(59,1),(83,1),(84,1)}
        69:{1,3,4,7}:{(51,1),(53,1),(60,1),(84,1)}
        70:{1,2,5,7}:{(52,1),(53,1),(54,1),(84,1),(85,1)}
        71:{2,3,6,7}:{(54,1),(63,1),(85,1),(90,1)}
        72:{3,5,6}:{(55,1),(56,1),(86,1),(87,1)}
        73:{3,4,6,7}:{(55,1),(57,1),(60,1),(87,1),(90,1),(100,1)}
        74:{1,2,5,7}:{(56,1),(57,1),(87,1)}
        75:{1,5,6,7}:{(58,1),(62,1)}
        76:{2,5,6,7}:{(58,1),(63,1)}
        77:{3,4,5,6}:{(59,1),(80,1),(83,1),(86,1),(89,1)}
        78:{3,5,7}:{(59,1),(60,1),(61,1),(90,1)}
        79:{1,2,4,6,7}:{(61,1),(62,1),(63,1),(82,1),(85,1),(88,1),(90,1),(98,1),(99,1),(100,1)}
        80:{2,4,5,6}:{(64,1),(77,1),(91,1)}
        81:{2,3,5,7}:{(64,1),(65,1),(66,1),(78,1),(91,1),(92,1)}
        82:{1,2,6,7}:{(66,1),(67,1),(92,1)}
        83:{1,4,5,6}:{(68,1),(77,1),(93,1)}
        84:{1,3,5,7}:{(68,1),(69,1),(70,1),(78,1),(93,1),(94,1)}
        85:{1,2,6,7}:{(70,1),(71,1),(94,1)}
        86:{4,5,6}:{(72,1),(95,1)}
        87:{3,5,7}:{(72,1),(73,1),(74,1),(95,1)}
        88:{1,2,5,6,7}:{(74,1),(75,1),(76,1),(79,1),(96,1),(102,1),(103,1)}
        89:{3,4,5,7}:{(77,1),(78,1),(91,1),(93,1),(95,1),(97,1)}
        90:{3,6,7}:{(78,1),(79,1)}
        91:{2,4,5,7}:{(80,1),(81,1),(89,1),(98,1)}
        92:{2,3,6,7}:{(81,1),(82,1),(90,1),(98,1)}
        93:{1,4,5,7}:{(83,1),(84,1),(89,1),(99,1)}
        94:{1,3,6,7}:{(84,1),(85,1),(90,1),(99,1)}
        95:{4,5,7}:{(86,1),(87,1),(100,1)}
        96:{3,5,6,7}:{(87,1),(88,1),(90,1),(100,1)}
        97:{3,4,6,7}:{(89,1),(90,1),(98,1),(99,1),(100,1),(101,1)}
        98:{2,4,6,7}:{(91,1),(92,1),(97,1),(102,1)}
        99:{1,4,6,7}:{(93,1),(94,1),(97,1),(103,1)}
       100:{4,6,7}:{(95,1),(96,1)}
       101:{3,5,6,7}:{(97,1),(102,1),(103,1),(104,1)}
       102:{2,5,6,7}:{(98,1),(101,1)}
       103:{1,5,6,7}:{(99,1),(101,1)}
       104:{4,5,6,7}:{(100,1),(101,1)}

2152 :   0:{4,5,6,7}:{(4,1),(76,1),(115,1)}
         1:{3,4,5,6}:{(5,1),(6,1),(7,1),(39,1),(83,1),(115,1),(121,1)}
         2:{2,3,4,5}:{(8,1),(9,1),(47,1),(83,1),(91,1)}
         3:{1,3,4,5}:{(10,1),(11,1),(44,1),(83,1),(89,1)}
         4:{3,5,6,7}:{(0,1),(14,1),(15,1),(16,1),(128,1)}
         5:{3,4,5,7}:{(1,1),(14,1),(19,1),(20,1),(60,1),(97,1)}
         6:{1,4,5,6}:{(1,1),(18,1),(19,1),(101,1),(132,1)}
         7:{2,4,5,6}:{(1,1),(17,1),(20,1),(103,1),(133,1)}
         8:{2,3,4,6}:{(2,1),(17,1),(22,1),(23,1),(61,1)}
         9:{1,2,4,5}:{(2,1),(23,1),(24,1),(64,1),(101,1),(107,1)}
        10:{1,3,4,6}:{(3,1),(18,1),(25,1),(26,1),(61,1)}
        11:{1,2,4,5}:{(3,1),(26,1),(27,1),(64,1),(103,1),(107,1)}
        12:{1,2,3,5,6}:{(28,1),(29,1),(57,1),(59,1),(63,1),(70,1),(72,1),(107,1),(110,1),(134,1)}
        13:{1,2,3,6,7}:{(28,1),(30,1),(94,1),(95,1),(110,1),(134,1)}
        14:{3,4,6,7}:{(4,1),(5,1),(31,1),(32,1),(75,1),(76,1),(121,1)}
        15:{1,5,6,7}:{(4,1),(31,1),(137,1)}
        16:{2,5,6,7}:{(4,1),(32,1),(138,1)}
        17:{2,3,5,6}:{(7,1),(8,1),(34,1),(35,1),(39,1),(91,1),(124,1)}
        18:{1,3,5,6}:{(6,1),(10,1),(36,1),(37,1),(39,1),(89,1),(123,1)}
        19:{1,4,5,7}:{(5,1),(6,1),(31,1),(36,1)}
        20:{2,4,5,7}:{(5,1),(7,1),(32,1),(34,1)}
        21:{1,2,4,5,6}:{(6,1),(7,1),(35,1),(37,1),(38,1),(39,1),(50,1),(79,1),(81,1),(93,1),(115,1),(118,1),(137,1),(138,1),(140,1)}
        22:{2,3,4,7}:{(8,1),(34,1),(42,1),(82,1)}
        23:{1,2,4,6}:{(8,1),(9,1),(35,1),(42,1),(43,1),(79,1)}
        24:{1,3,5}:{(9,1),(43,1),(44,1)}
        25:{1,3,4,7}:{(10,1),(36,1),(45,1),(82,1)}
        26:{1,2,4,6}:{(10,1),(11,1),(37,1),(45,1),(46,1),(81,1)}
        27:{2,3,5}:{(11,1),(46,1),(47,1)}
        28:{1,2,3,5,7}:{(12,1),(13,1),(49,1),(51,1),(78,1),(80,1),(86,1),(92,1),(122,1)}
        29:{1,2,4,6}:{(12,1),(48,1),(49,1),(50,1),(79,1),(81,1)}
        30:{1,2,4,6,7}:{(13,1),(40,1),(49,1),(51,1),(93,1),(112,1),(113,1)}
        31:{1,4,6,7}:{(14,1),(15,1),(19,1),(53,1),(132,1)}
        32:{2,4,6,7}:{(14,1),(16,1),(20,1),(52,1),(133,1)}
        33:{1,2,5,6,7}:{(15,1),(16,1),(54,1),(55,1),(72,1),(126,1),(127,1),(142,1)}
        34:{2,3,5,7}:{(17,1),(20,1),(22,1),(52,1),(56,1),(60,1)}
        35:{1,2,5,6}:{(17,1),(23,1),(56,1),(57,1),(107,1),(134,1)}
        36:{1,3,5,7}:{(18,1),(19,1),(25,1),(53,1),(58,1),(60,1)}
        37:{1,2,5,6}:{(18,1),(26,1),(58,1),(59,1),(107,1),(134,1)}
        38:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(54,1),(56,1),(58,1),(60,1),(97,1),(100,1),(102,1),(126,1),(127,1)}
        39:{3,5,6}:{(21,1),(60,1),(61,1),(70,1),(110,1),(130,1),(143,1)}
        40:{3,4,6,7}:{(30,1),(62,1),(69,1),(105,1),(110,1)}
        41:{1,2,3,5}:{(24,1),(27,1),(63,1),(64,1),(107,1)}
        42:{1,2,4,7}:{(22,1),(23,1),(56,1),(65,1),(100,1)}
        43:{1,3,6}:{(23,1),(24,1),(65,1)}
        44:{1,3,4}:{(24,1),(64,1)}
        45:{1,2,4,7}:{(25,1),(26,1),(58,1),(67,1),(102,1)}
        46:{2,3,6}:{(26,1),(27,1),(67,1)}
        47:{2,3,4}:{(27,1),(64,1)}
        48:{3,4,6}:{(29,1),(69,1),(70,1),(110,1)}
        49:{1,2,4,7}:{(28,1),(29,1),(69,1),(100,1),(102,1)}
        50:{1,2,4,5}:{(29,1),(70,1),(101,1),(103,1),(107,1)}
        51:{1,2,5,7}:{(30,1),(62,1),(72,1),(126,1),(127,1)}
        52:{2,3,6,7}:{(32,1),(34,1),(73,1),(75,1),(124,1)}
        53:{1,3,6,7}:{(31,1),(36,1),(74,1),(75,1),(123,1)}
        54:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(38,1),(73,1),(74,1),(75,1),(76,1),(93,1),(112,1),(113,1),(140,1)}
        55:{3,5,6,7}:{(33,1),(75,1),(76,1),(85,1),(114,1),(145,1)}
        56:{1,2,5,7}:{(34,1),(35,1),(42,1),(73,1),(78,1)}
        57:{1,3,5,6}:{(35,1),(39,1),(43,1),(78,1),(79,1),(89,1),(123,1),(137,1)}
        58:{1,2,5,7}:{(36,1),(37,1),(45,1),(74,1),(80,1)}
        59:{2,3,5,6}:{(37,1),(39,1),(46,1),(80,1),(81,1),(91,1),(124,1),(138,1)}
        60:{3,5,7}:{(38,1),(39,1),(75,1),(82,1)}
        61:{3,4,6}:{(39,1),(79,1),(81,1),(82,1),(83,1)}
        62:{3,5,7}:{(40,1),(51,1),(84,1),(85,1)}
        63:{1,2,3,6}:{(41,1),(43,1),(46,1),(86,1),(87,1)}
        64:{1,2,4}:{(41,1),(44,1),(47,1)}
        65:{1,3,7}:{(42,1),(43,1)}
        66:{1,3,4,6}:{(43,1),(44,1),(48,1),(79,1),(87,1),(88,1),(89,1),(116,1),(123,1)}
        67:{2,3,7}:{(45,1),(46,1)}
        68:{2,3,4,6}:{(46,1),(47,1),(48,1),(81,1),(87,1),(90,1),(91,1),(116,1),(124,1)}
        69:{3,4,7}:{(48,1),(49,1),(92,1)}
        70:{3,5}:{(48,1),(50,1)}
        71:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(84,1),(92,1),(93,1),(119,1),(120,1),(122,1)}
        72:{1,2,5,6}:{(51,1),(85,1),(93,1),(137,1),(138,1)}
        73:{1,2,6,7}:{(52,1),(56,1),(94,1),(134,1)}
        74:{1,2,6,7}:{(53,1),(58,1),(95,1),(134,1)}
        75:{3,6,7}:{(54,1),(60,1),(110,1),(143,1)}
        76:{4,6,7}:{(55,1),(97,1),(105,1),(146,1)}
        77:{1,2,3,5,6}:{(57,1),(59,1),(63,1),(98,1),(99,1),(107,1),(130,1),(134,1),(142,1),(143,1)}
        78:{1,3,5,7}:{(56,1),(57,1),(60,1),(65,1),(94,1),(100,1),(126,1)}
        79:{1,4,6}:{(57,1),(61,1),(100,1),(101,1)}
        80:{2,3,5,7}:{(58,1),(59,1),(60,1),(67,1),(95,1),(102,1),(127,1)}
        81:{2,4,6}:{(59,1),(61,1),(102,1),(103,1)}
        82:{3,4,7}:{(60,1),(61,1),(100,1),(102,1)}
        83:{3,4,5}:{(61,1),(70,1),(101,1),(103,1),(130,1)}
        84:{4,5,7}:{(62,1),(105,1)}
        85:{3,5,6}:{(62,1),(72,1),(105,1),(110,1)}
        86:{1,2,3,7}:{(63,1),(65,1),(67,1),(106,1)}
        87:{1,2,4,6}:{(63,1),(64,1),(66,1),(68,1),(106,1),(107,1),(134,1)}
        88:{1,3,4,7}:{(65,1),(66,1),(69,1),(100,1),(106,1),(108,1),(129,1)}
        89:{1,3,5}:{(66,1),(70,1),(101,1),(107,1),(130,1)}
        90:{2,3,4,7}:{(67,1),(68,1),(69,1),(102,1),(106,1),(109,1),(129,1)}
        91:{2,3,5}:{(68,1),(70,1),(103,1),(107,1),(130,1)}
        92:{3,5,7}:{(69,1),(70,1),(71,1),(110,1)}
        93:{1,2,4,6}:{(71,1),(72,1),(105,1),(110,1),(132,1),(133,1),(134,1)}
        94:{1,3,6,7}:{(73,1),(75,1),(78,1),(112,1),(123,1)}
        95:{2,3,6,7}:{(74,1),(75,1),(80,1),(113,1),(124,1)}
        96:{3,4,6,7}:{(75,1),(76,1),(82,1),(112,1),(113,1),(114,1),(121,1)}
        97:{4,5,7}:{(76,1),(114,1),(115,1)}
        98:{1,2,3,5,7}:{(77,1),(78,1),(80,1),(86,1),(111,1),(117,1),(122,1),(136,1),(139,1)}
        99:{1,2,4,6}:{(77,1),(79,1),(81,1),(116,1),(117,1),(118,1)}
       100:{1,4,7}:{(78,1),(79,1),(82,1)}
       101:{1,4,5}:{(79,1),(83,1),(89,1)}
       102:{2,4,7}:{(80,1),(81,1),(82,1)}
       103:{2,4,5}:{(81,1),(83,1),(91,1)}
       104:{3,4,5,7}:{(82,1),(83,1),(84,1),(92,1),(114,1),(119,1),(120,1),(121,1),(139,1),(144,1)}
       105:{4,6}:{(84,1),(85,1)}
       106:{1,2,4,7}:{(86,1),(87,1),(88,1),(90,1),(122,1)}
       107:{1,2,5}:{(87,1),(89,1),(91,1)}
       108:{1,3,5,7}:{(88,1),(89,1),(92,1),(119,1),(122,1),(123,1),(139,1)}
       109:{2,3,5,7}:{(90,1),(91,1),(92,1),(120,1),(122,1),(124,1),(139,1)}
       110:{3,6}:{(92,1),(93,1)}
       111:{1,2,3,6,7}:{(94,1),(95,1),(98,1),(125,1),(134,1),(143,1)}
       112:{1,4,6,7}:{(94,1),(96,1),(100,1),(126,1),(132,1)}
       113:{2,4,6,7}:{(95,1),(96,1),(102,1),(127,1),(133,1)}
       114:{3,5,7}:{(96,1),(97,1),(126,1),(127,1),(128,1)}
       115:{4,5,6}:{(97,1),(105,1),(128,1),(146,1)}
       116:{3,4,6}:{(99,1),(129,1),(130,1),(143,1)}
       117:{1,2,4,7}:{(98,1),(99,1),(100,1),(102,1),(129,1)}
       118:{1,2,4,5}:{(99,1),(101,1),(103,1),(107,1),(130,1)}
       119:{1,4,5,7}:{(100,1),(101,1),(104,1),(108,1),(126,1),(132,1)}
       120:{2,4,5,7}:{(102,1),(103,1),(104,1),(109,1),(127,1),(133,1)}
       121:{3,4,6}:{(104,1),(105,1),(110,1),(128,1),(132,1),(133,1),(143,1),(146,1)}
       122:{1,2,5,7}:{(106,1),(107,1),(108,1),(109,1),(134,1)}
       123:{1,3,6}:{(108,1),(110,1),(132,1),(134,1),(143,1)}
       124:{2,3,6}:{(109,1),(110,1),(133,1),(134,1),(143,1)}
       125:{1,2,4,6,7}:{(111,1),(112,1),(113,1),(117,1),(135,1),(136,1),(140,1)}
       126:{1,5,7}:{(112,1),(114,1),(137,1)}
       127:{2,5,7}:{(113,1),(114,1),(138,1)}
       128:{3,5,6}:{(114,1),(115,1),(121,1),(137,1),(138,1)}
       129:{3,4,7}:{(116,1),(117,1),(139,1)}
       130:{3,5}:{(116,1),(118,1)}
       131:{1,2,4,5,7}:{(117,1),(118,1),(119,1),(120,1),(122,1),(136,1),(139,1),(140,1),(144,1)}
       132:{1,4,6}:{(119,1),(121,1),(123,1),(137,1)}
       133:{2,4,6}:{(120,1),(121,1),(124,1),(138,1)}
       134:{1,2,6}:{(122,1),(123,1),(124,1)}
       135:{3,4,6,7}:{(125,1),(129,1),(141,1),(143,1),(146,1)}
       136:{1,2,5,7}:{(125,1),(126,1),(127,1),(141,1),(142,1)}
       137:{1,5,6}:{(126,1),(128,1),(132,1)}
       138:{2,5,6}:{(127,1),(128,1),(133,1)}
       139:{3,5,7}:{(129,1),(130,1),(131,1),(143,1)}
       140:{1,2,4,6}:{(131,1),(132,1),(133,1),(134,1),(142,1),(143,1),(146,1)}
       141:{3,5,7}:{(135,1),(136,1),(144,1),(145,1)}
       142:{1,2,5,6}:{(136,1),(137,1),(138,1),(140,1),(145,1)}
       143:{3,6}:{(139,1),(140,1)}
       144:{4,5,7}:{(141,1),(146,1)}
       145:{3,5,6}:{(141,1),(142,1),(143,1),(146,1)}
       146:{4,6}:{(144,1),(145,1)}

2153 :   0:{1,2,3,4,7}:{(1,1),(2,1),(37,1),(42,1),(47,1)}
         1:{1,2,3,4,6}:{(0,1),(3,1),(4,1),(5,1),(7,1),(20,1),(23,1),(26,1)}
         2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
         3:{1,2,3,4}:{(8,1)}
         4:{1,2,3,4}:{(10,1)}
         5:{1,2,3,5}:{(1,1),(12,1)}
         6:{1,2,4,5,7}:{(2,1),(12,1),(15,1),(16,1),(47,1),(53,1)}
         7:{1,2,3,6}:{(2,1),(16,1)}
         8:{1,2,3,5}:{(3,1),(19,1),(20,1)}
         9:{1,3,4,5}:{(19,1),(21,1),(25,1)}
        10:{1,2,3,5}:{(4,1),(22,1),(23,1)}
        11:{2,3,4,5}:{(22,1),(24,1),(25,1)}
        12:{1,2,4,5}:{(5,1),(25,1),(26,1)}
        13:{1,2,3,5,6}:{(5,1),(7,1),(20,1),(23,1),(26,1),(27,1),(32,1),(57,1),(61,1),(64,1)}
        14:{3,4,5,6}:{(28,1),(29,1),(30,1),(64,1),(69,1)}
        15:{3,4,5,7}:{(6,1),(25,1),(31,1),(65,1),(70,1)}
        16:{1,2,4,6}:{(6,1),(7,1),(31,1),(32,1)}
        17:{1,2,3,6,7}:{(7,1),(27,1),(33,1),(87,1),(90,1),(92,1)}
        18:{4,5,6,7}:{(34,1),(93,1)}
        19:{1,2,4,5}:{(8,1),(9,1),(35,1),(36,1)}
        20:{1,2,3,6}:{(8,1),(36,1),(37,1)}
        21:{1,3,4,6}:{(9,1),(36,1),(38,1),(39,1),(45,1)}
        22:{1,2,4,5}:{(10,1),(11,1),(40,1),(41,1)}
        23:{1,2,3,6}:{(10,1),(41,1),(42,1)}
        24:{2,3,4,6}:{(11,1),(41,1),(43,1),(44,1),(45,1)}
        25:{3,4,5}:{(12,1),(45,1)}
        26:{1,2,4,6}:{(12,1),(13,1),(45,1),(47,1)}
        27:{1,2,3,5,7}:{(13,1),(17,1),(37,1),(42,1),(47,1),(53,1),(74,1),(78,1),(81,1)}
        28:{1,4,5,6}:{(14,1),(38,1),(48,1)}
        29:{2,4,5,6}:{(14,1),(43,1),(49,1)}
        30:{3,4,5,7}:{(14,1),(48,1),(49,1),(50,1),(81,1),(83,1)}
        31:{3,4,6}:{(15,1),(16,1),(51,1)}
        32:{1,2,5,6}:{(16,1),(51,1),(53,1)}
        33:{1,2,4,6,7}:{(16,1),(17,1),(47,1),(52,1),(53,1)}
        34:{3,5,6,7}:{(18,1),(50,1),(54,1),(55,1)}
        35:{2,3,4,5}:{(19,1),(25,1),(56,1)}
        36:{1,2,4,6}:{(19,1),(20,1),(21,1),(56,1),(57,1),(58,1)}
        37:{1,2,3,7}:{(20,1),(58,1)}
        38:{1,3,5,6}:{(21,1),(28,1),(57,1),(59,1),(64,1)}
        39:{1,3,4,7}:{(21,1),(58,1),(59,1),(65,1)}
        40:{1,3,4,5}:{(22,1),(25,1),(60,1)}
        41:{1,2,4,6}:{(22,1),(23,1),(24,1),(60,1),(61,1),(62,1)}
        42:{1,2,3,7}:{(23,1),(62,1)}
        43:{2,3,5,6}:{(24,1),(29,1),(61,1),(63,1),(64,1)}
        44:{2,3,4,7}:{(24,1),(62,1),(63,1),(65,1)}
        45:{3,4,6}:{(25,1),(26,1),(64,1),(65,1)}
        46:{1,2,4,5,6}:{(26,1),(28,1),(29,1),(32,1),(57,1),(61,1),(64,1),(66,1),(69,1),(85,1),(88,1)}
        47:{1,2,4,7}:{(26,1),(27,1),(65,1)}
        48:{1,4,5,7}:{(28,1),(30,1),(59,1),(67,1)}
        49:{2,4,5,7}:{(29,1),(30,1),(63,1),(68,1)}
        50:{3,4,6,7}:{(30,1),(34,1),(67,1),(68,1),(92,1),(93,1)}
        51:{3,5,6}:{(31,1),(32,1),(69,1),(70,1)}
        52:{3,4,6,7}:{(31,1),(33,1),(65,1),(70,1),(92,1),(93,1)}
        53:{1,2,5,7}:{(32,1),(33,1),(70,1)}
        54:{1,5,6,7}:{(34,1),(67,1)}
        55:{2,5,6,7}:{(34,1),(68,1)}
        56:{2,3,4,6}:{(35,1),(36,1),(45,1),(72,1),(73,1)}
        57:{1,2,5,6}:{(36,1),(38,1),(72,1),(74,1)}
        58:{1,2,4,7}:{(36,1),(37,1),(39,1),(73,1),(74,1)}
        59:{1,3,5,7}:{(38,1),(39,1),(48,1),(74,1),(75,1),(81,1)}
        60:{1,3,4,6}:{(40,1),(41,1),(45,1),(76,1),(77,1)}
        61:{1,2,5,6}:{(41,1),(43,1),(76,1),(78,1)}
        62:{1,2,4,7}:{(41,1),(42,1),(44,1),(77,1),(78,1)}
        63:{2,3,5,7}:{(43,1),(44,1),(49,1),(78,1),(79,1),(81,1)}
        64:{3,5,6}:{(45,1),(46,1),(81,1)}
        65:{3,4,7}:{(45,1),(47,1),(81,1)}
        66:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(49,1),(53,1),(74,1),(78,1),(81,1),(82,1),(83,1),(94,1),(96,1)}
        67:{1,4,6,7}:{(48,1),(50,1),(54,1),(75,1)}
        68:{2,4,6,7}:{(49,1),(50,1),(55,1),(79,1)}
        69:{4,5,6}:{(51,1),(83,1)}
        70:{3,5,7}:{(51,1),(52,1),(53,1),(83,1)}
        71:{1,2,5,6,7}:{(53,1),(54,1),(55,1),(82,1),(84,1),(103,1),(104,1)}
        72:{2,3,5,6}:{(56,1),(57,1),(64,1),(85,1),(86,1)}
        73:{2,3,4,7}:{(56,1),(58,1),(65,1),(86,1)}
        74:{1,2,5,7}:{(57,1),(58,1),(59,1),(86,1),(87,1)}
        75:{1,3,6,7}:{(59,1),(67,1),(87,1),(92,1)}
        76:{1,3,5,6}:{(60,1),(61,1),(64,1),(88,1),(89,1)}
        77:{1,3,4,7}:{(60,1),(62,1),(65,1),(89,1)}
        78:{1,2,5,7}:{(61,1),(62,1),(63,1),(89,1),(90,1)}
        79:{2,3,6,7}:{(63,1),(68,1),(90,1),(92,1)}
        80:{3,4,5,6}:{(64,1),(69,1),(85,1),(88,1),(91,1)}
        81:{3,5,7}:{(64,1),(65,1),(66,1),(92,1)}
        82:{1,2,4,6,7}:{(66,1),(67,1),(68,1),(71,1),(87,1),(90,1),(92,1),(93,1),(100,1),(101,1)}
        83:{4,5,7}:{(69,1),(70,1),(93,1)}
        84:{3,5,6,7}:{(70,1),(71,1),(92,1),(93,1)}
        85:{2,4,5,6}:{(72,1),(80,1),(94,1)}
        86:{2,3,5,7}:{(72,1),(73,1),(74,1),(81,1),(94,1),(95,1)}
        87:{1,2,6,7}:{(74,1),(75,1),(95,1)}
        88:{1,4,5,6}:{(76,1),(80,1),(96,1)}
        89:{1,3,5,7}:{(76,1),(77,1),(78,1),(81,1),(96,1),(97,1)}
        90:{1,2,6,7}:{(78,1),(79,1),(97,1)}
        91:{3,4,5,7}:{(80,1),(81,1),(83,1),(94,1),(96,1),(98,1)}
        92:{3,6,7}:{(81,1),(82,1)}
        93:{4,6,7}:{(83,1),(84,1)}
        94:{2,4,5,7}:{(85,1),(86,1),(91,1),(100,1)}
        95:{2,3,6,7}:{(86,1),(87,1),(92,1),(100,1)}
        96:{1,4,5,7}:{(88,1),(89,1),(91,1),(101,1)}
        97:{1,3,6,7}:{(89,1),(90,1),(92,1),(101,1)}
        98:{3,4,6,7}:{(91,1),(92,1),(93,1),(100,1),(101,1),(102,1)}
        99:{4,5,6,7}:{(93,1),(102,1)}
       100:{2,4,6,7}:{(94,1),(95,1),(98,1),(103,1)}
       101:{1,4,6,7}:{(96,1),(97,1),(98,1),(104,1)}
       102:{3,5,6,7}:{(98,1),(99,1),(103,1),(104,1)}
       103:{2,5,6,7}:{(100,1),(102,1)}
       104:{1,5,6,7}:{(101,1),(102,1)}

2154 :  0:{1,2,3,4,6,7}:{(2,1),(9,1),(10,1),(29,1),(49,1),(50,1)}
        1:{1,2,3,5,6,7}:{(4,1),(5,1),(13,1),(14,1),(16,1),(39,1),(40,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(16,1),(39,1)}
        3:{1,2,4,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(25,1)}
        4:{1,2,4,6,7}:{(1,1),(8,1),(9,1),(10,1),(23,1),(24,1)}
        5:{1,2,3,5,6}:{(2,1),(10,1),(26,1),(47,1),(49,1)}
        6:{1,2,4,5,7}:{(2,1),(10,1),(11,1)}
        7:{3,5,6,7}:{(3,1),(12,1),(16,1)}
        8:{1,2,4,5,7}:{(4,1),(15,1),(16,1),(34,1),(35,1),(39,1)}
        9:{3,4,6,7}:{(4,1),(16,1),(19,1)}
       10:{1,2,4,6}:{(5,1),(6,1),(19,1)}
       11:{3,4,5,7}:{(6,1),(16,1),(19,1)}
       12:{3,4,6,7}:{(7,1),(22,1),(23,1),(24,1),(46,1)}
       13:{1,3,5,6,7}:{(7,1),(23,1),(25,1),(27,1),(46,1)}
       14:{2,3,5,6,7}:{(7,1),(24,1),(25,1),(28,1),(46,1)}
       15:{1,2,4,5,6}:{(8,1),(10,1),(26,1),(43,1),(44,1),(47,1)}
       16:{3,5,7}:{(8,1),(9,1),(26,1)}
       17:{1,3,4,6,7}:{(9,1),(23,1),(27,1),(29,1),(30,1),(46,1),(57,1)}
       18:{2,3,4,6,7}:{(9,1),(24,1),(28,1),(29,1),(31,1),(46,1),(57,1)}
       19:{3,4,6}:{(10,1),(11,1),(26,1)}
       20:{1,3,4,5,7}:{(11,1),(27,1),(30,1),(32,1),(57,1),(62,1)}
       21:{2,3,4,5,7}:{(11,1),(28,1),(31,1),(32,1),(57,1),(62,1)}
       22:{3,4,5,7}:{(12,1),(16,1),(33,1),(34,1),(35,1),(52,1)}
       23:{1,4,6,7}:{(12,1),(13,1),(34,1)}
       24:{2,4,6,7}:{(12,1),(14,1),(35,1)}
       25:{1,2,5,6,7}:{(13,1),(14,1),(36,1),(39,1)}
       26:{3,5,6}:{(15,1),(16,1),(19,1)}
       27:{1,3,5,7}:{(16,1),(17,1),(34,1),(37,1),(39,1),(52,1)}
       28:{2,3,5,7}:{(16,1),(18,1),(35,1),(38,1),(39,1),(52,1)}
       29:{1,2,4,6,7}:{(17,1),(18,1),(39,1),(40,1),(41,1),(54,1)}
       30:{1,3,4,6}:{(19,1),(20,1),(37,1),(41,1),(60,1)}
       31:{2,3,4,6}:{(19,1),(21,1),(38,1),(41,1),(60,1)}
       32:{1,2,4,5,7}:{(20,1),(21,1),(39,1),(41,1),(42,1),(54,1),(61,1)}
       33:{3,4,5,6}:{(22,1),(26,1),(43,1),(44,1),(56,1)}
       34:{1,4,5,7}:{(22,1),(23,1),(27,1),(43,1)}
       35:{2,4,5,7}:{(22,1),(24,1),(28,1),(44,1)}
       36:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(45,1),(46,1)}
       37:{1,3,5,6}:{(26,1),(27,1),(30,1),(43,1),(47,1),(56,1)}
       38:{2,3,5,6}:{(26,1),(28,1),(31,1),(44,1),(47,1),(56,1)}
       39:{1,2,5,7}:{(27,1),(28,1),(29,1),(47,1)}
       40:{1,2,3,6,7}:{(29,1),(46,1),(48,1),(49,1)}
       41:{1,2,4,6}:{(30,1),(31,1),(32,1),(47,1),(49,1)}
       42:{1,2,3,5,7}:{(32,1),(49,1),(50,1),(59,1)}
       43:{1,4,5,6}:{(33,1),(34,1),(37,1)}
       44:{2,4,5,6}:{(33,1),(35,1),(38,1)}
       45:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(39,1),(51,1),(52,1),(54,1)}
       46:{3,6,7}:{(36,1),(52,1)}
       47:{1,2,5,6}:{(37,1),(38,1),(39,1),(41,1)}
       48:{1,2,3,5,7}:{(39,1),(40,1),(52,1),(53,1),(54,1)}
       49:{1,2,3,6}:{(41,1),(42,1)}
       50:{1,2,3,4,7}:{(42,1),(54,1),(55,1)}
       51:{1,2,4,5,6}:{(43,1),(44,1),(45,1),(47,1),(56,1),(58,1)}
       52:{3,5,7}:{(45,1),(46,1),(56,1),(57,1)}
       53:{1,2,3,5,6}:{(47,1),(48,1),(49,1),(56,1),(58,1),(59,1)}
       54:{1,2,4,7}:{(48,1),(57,1),(58,1)}
       55:{1,2,3,4,6}:{(49,1),(50,1),(58,1),(59,1)}
       56:{3,5,6}:{(51,1),(52,1),(60,1)}
       57:{3,4,7}:{(52,1),(54,1),(60,1)}
       58:{1,2,4,6}:{(53,1),(54,1),(60,1),(61,1)}
       59:{1,2,3,5}:{(55,1),(61,1)}
       60:{3,4,6}:{(56,1),(57,1),(58,1),(62,1)}
       61:{1,2,4,5}:{(58,1),(59,1),(62,1)}
       62:{3,4,5}:{(60,1),(61,1)}

2155 :  0:{1,3,4,5,6}:{(3,1),(6,1),(30,1),(76,1),(80,1)}
        1:{2,3,4,5,6}:{(4,1),(7,1),(29,1),(76,1),(79,1)}
        2:{3,4,5,6,7}:{(8,1),(9,1),(33,1),(63,1)}
        3:{1,3,4,5,7}:{(0,1),(10,1),(13,1),(40,1),(63,1),(66,1)}
        4:{2,3,4,5,7}:{(1,1),(11,1),(14,1),(39,1),(63,1),(65,1)}
        5:{1,2,3,4,6,7}:{(15,1),(36,1),(42,1),(64,1),(68,1),(89,1)}
        6:{1,2,4,5,6}:{(0,1),(13,1),(16,1),(43,1),(85,1),(88,1)}
        7:{1,2,4,5,6}:{(1,1),(14,1),(17,1),(43,1),(86,1),(88,1)}
        8:{1,4,5,6,7}:{(2,1),(18,1),(75,1)}
        9:{2,4,5,6,7}:{(2,1),(19,1),(74,1)}
       10:{1,3,4,6,7}:{(3,1),(18,1),(21,1),(48,1)}
       11:{2,3,4,6,7}:{(4,1),(19,1),(22,1),(48,1)}
       12:{1,2,3,5,6,7}:{(23,1),(27,1),(46,1),(47,1),(49,1),(52,1),(78,1)}
       13:{1,2,4,5,7}:{(3,1),(6,1),(21,1),(24,1),(54,1),(74,1),(78,1)}
       14:{1,2,4,5,7}:{(4,1),(7,1),(22,1),(25,1),(54,1),(75,1),(78,1)}
       15:{1,2,3,5,7}:{(5,1),(26,1),(27,1),(52,1),(78,1)}
       16:{2,3,5,6}:{(6,1),(24,1),(29,1)}
       17:{1,3,5,6}:{(7,1),(25,1),(30,1)}
       18:{1,3,5,6,7}:{(8,1),(10,1),(31,1),(33,1),(66,1)}
       19:{2,3,5,6,7}:{(9,1),(11,1),(32,1),(33,1),(65,1)}
       20:{1,2,4,5,6,7}:{(8,1),(9,1),(31,1),(32,1),(33,1),(37,1),(61,1),(62,1),(84,1)}
       21:{1,2,4,6,7}:{(10,1),(13,1),(31,1),(34,1),(61,1)}
       22:{1,2,4,6,7}:{(11,1),(14,1),(32,1),(35,1),(62,1)}
       23:{1,2,4,6,7}:{(12,1),(36,1),(37,1),(42,1),(61,1),(62,1)}
       24:{2,3,5,7}:{(13,1),(16,1),(34,1),(39,1)}
       25:{1,3,5,7}:{(14,1),(17,1),(35,1),(40,1)}
       26:{1,2,4,5,7}:{(15,1),(41,1),(42,1)}
       27:{1,2,3,5,6}:{(15,1),(42,1),(67,1),(88,1),(89,1)}
       28:{1,2,3,5,6}:{(16,1),(17,1),(38,1),(43,1),(72,1),(88,1),(89,1)}
       29:{2,3,4,6}:{(16,1),(39,1),(43,1),(44,1)}
       30:{1,3,4,6}:{(17,1),(40,1),(43,1),(45,1)}
       31:{1,2,5,6,7}:{(18,1),(21,1),(46,1),(78,1)}
       32:{1,2,5,6,7}:{(19,1),(22,1),(47,1),(78,1)}
       33:{3,5,6,7}:{(20,1),(48,1),(52,1),(90,1)}
       34:{2,3,6,7}:{(21,1),(24,1)}
       35:{1,3,6,7}:{(22,1),(25,1)}
       36:{3,4,6,7}:{(23,1),(52,1),(57,1)}
       37:{1,2,4,5,7}:{(23,1),(52,1),(53,1),(74,1),(75,1),(78,1)}
       38:{1,2,3,5,7}:{(24,1),(25,1),(28,1),(49,1),(54,1),(78,1)}
       39:{2,3,4,7}:{(24,1),(29,1),(54,1)}
       40:{1,3,4,7}:{(25,1),(30,1),(54,1)}
       41:{3,4,5,7}:{(26,1),(52,1),(57,1)}
       42:{1,2,4,6}:{(26,1),(27,1),(57,1)}
       43:{1,2,4,6}:{(28,1),(29,1),(30,1),(54,1),(59,1)}
       44:{2,3,4,5}:{(29,1),(59,1)}
       45:{1,3,4,5}:{(30,1),(59,1)}
       46:{2,3,5,6,7}:{(31,1),(33,1),(34,1),(61,1),(65,1)}
       47:{1,3,5,6,7}:{(32,1),(33,1),(35,1),(62,1),(66,1)}
       48:{3,4,6,7}:{(33,1),(61,1),(62,1),(63,1)}
       49:{1,2,3,6,7}:{(34,1),(35,1),(38,1),(64,1),(89,1)}
       50:{2,3,4,6,7}:{(34,1),(36,1),(39,1),(61,1),(64,1),(65,1),(70,1),(83,1)}
       51:{1,3,4,6,7}:{(35,1),(36,1),(40,1),(62,1),(64,1),(66,1),(71,1),(83,1)}
       52:{3,5,7}:{(36,1),(37,1),(67,1)}
       53:{1,2,4,5,6}:{(37,1),(42,1),(67,1),(85,1),(86,1),(88,1)}
       54:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1)}
       55:{2,3,4,5,7}:{(39,1),(41,1),(44,1),(65,1),(69,1),(70,1),(94,1)}
       56:{1,3,4,5,7}:{(40,1),(41,1),(45,1),(66,1),(69,1),(71,1),(94,1)}
       57:{3,4,6}:{(41,1),(42,1),(67,1)}
       58:{1,2,3,4,6}:{(43,1),(68,1),(72,1),(89,1)}
       59:{1,2,4,5}:{(43,1),(44,1),(45,1),(72,1)}
       60:{1,2,3,5,6,7}:{(46,1),(47,1),(49,1),(73,1),(78,1),(90,1),(93,1)}
       61:{2,4,6,7}:{(46,1),(48,1),(74,1)}
       62:{1,4,6,7}:{(47,1),(48,1),(75,1)}
       63:{3,4,5,7}:{(48,1),(52,1),(74,1),(75,1),(76,1),(90,1)}
       64:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(54,1),(78,1),(82,1)}
       65:{2,3,5,7}:{(50,1),(52,1),(74,1),(78,1),(79,1),(90,1)}
       66:{1,3,5,7}:{(51,1),(52,1),(75,1),(78,1),(80,1),(90,1)}
       67:{3,5,6}:{(52,1),(53,1),(57,1)}
       68:{1,2,3,4,7}:{(54,1),(58,1),(81,1)}
       69:{1,2,4,5,7}:{(54,1),(55,1),(56,1),(59,1),(78,1),(81,1),(82,1)}
       70:{2,3,4,6}:{(55,1),(57,1),(79,1),(82,1),(97,1)}
       71:{1,3,4,6}:{(56,1),(57,1),(80,1),(82,1),(97,1)}
       72:{1,2,3,5}:{(58,1),(59,1)}
       73:{1,2,4,6,7}:{(60,1),(61,1),(62,1),(83,1),(84,1),(96,1)}
       74:{2,4,5,7}:{(61,1),(63,1),(65,1),(85,1)}
       75:{1,4,5,7}:{(62,1),(63,1),(66,1),(86,1)}
       76:{3,4,5,6}:{(63,1),(67,1),(85,1),(86,1),(95,1)}
       77:{1,2,3,4,6,7}:{(64,1),(68,1),(83,1),(87,1),(89,1),(96,1)}
       78:{1,2,5,7}:{(64,1),(65,1),(66,1),(88,1)}
       79:{2,3,5,6}:{(65,1),(67,1),(70,1),(85,1),(88,1),(95,1)}
       80:{1,3,5,6}:{(66,1),(67,1),(71,1),(86,1),(88,1),(95,1)}
       81:{1,2,3,5,7}:{(68,1),(69,1),(72,1),(89,1)}
       82:{1,2,4,6}:{(69,1),(70,1),(71,1),(88,1),(89,1)}
       83:{3,4,6,7}:{(73,1),(90,1),(97,1)}
       84:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(78,1),(90,1),(91,1)}
       85:{2,4,5,6}:{(74,1),(76,1),(79,1)}
       86:{1,4,5,6}:{(75,1),(76,1),(80,1)}
       87:{1,2,3,5,7}:{(77,1),(78,1),(90,1),(92,1),(93,1)}
       88:{1,2,5,6}:{(78,1),(79,1),(80,1),(82,1)}
       89:{1,2,3,6}:{(81,1),(82,1)}
       90:{3,5,7}:{(83,1),(84,1),(95,1)}
       91:{1,2,4,5,6}:{(84,1),(85,1),(86,1),(88,1),(95,1),(96,1)}
       92:{1,2,4,5,7}:{(87,1),(94,1),(96,1)}
       93:{1,2,3,5,6}:{(87,1),(88,1),(89,1),(95,1),(96,1)}
       94:{3,4,5,7}:{(90,1),(92,1),(97,1)}
       95:{3,5,6}:{(90,1),(91,1),(97,1)}
       96:{1,2,4,6}:{(92,1),(93,1),(97,1)}
       97:{3,4,6}:{(94,1),(95,1),(96,1)}

2156 :  0:{1,2,3,4,5,7}:{(1,1),(5,1),(21,1),(36,1)}
        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),(35,1),(36,1)}
        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),(18,1),(33,1),(35,1)}
        7:{3,4,5,6}:{(4,1),(12,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(12,1)}
        9:{1,2,4,6,7}:{(6,1),(8,1),(14,1)}
       10:{2,3,4,5,6}:{(7,1),(15,1),(16,1),(45,1)}
       11:{1,3,4,5,6}:{(7,1),(15,1),(17,1),(45,1)}
       12:{3,4,5,7}:{(7,1),(8,1),(14,1)}
       13:{1,2,4,5,6,7}:{(9,1),(18,1),(31,1),(32,1),(33,1)}
       14:{3,4,6,7}:{(9,1),(12,1),(18,1)}
       15:{1,2,4,5,6}:{(10,1),(11,1),(22,1),(23,1)}
       16:{2,3,4,5,7}:{(10,1),(12,1),(19,1),(23,1),(48,1)}
       17:{1,3,4,5,7}:{(11,1),(12,1),(20,1),(23,1),(48,1)}
       18:{3,5,6,7}:{(13,1),(14,1)}
       19:{2,3,4,6,7}:{(14,1),(16,1),(25,1),(28,1),(46,1)}
       20:{1,3,4,6,7}:{(14,1),(17,1),(26,1),(28,1),(46,1)}
       21:{1,2,3,4,5}:{(29,1)}
       22:{1,2,3,5,6}:{(15,1),(29,1),(30,1)}
       23:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(28,1),(30,1)}
       24:{3,4,5,6,7}:{(18,1),(31,1),(32,1),(41,1)}
       25:{2,3,5,6,7}:{(18,1),(19,1),(31,1),(33,1),(41,1)}
       26:{1,3,5,6,7}:{(18,1),(20,1),(32,1),(33,1),(41,1)}
       27:{1,2,3,4,5,7}:{(21,1),(34,1),(36,1),(44,1)}
       28:{1,2,4,6,7}:{(19,1),(20,1),(23,1),(33,1),(35,1)}
       29:{1,2,3,4,6}:{(21,1),(22,1),(36,1)}
       30:{1,2,3,5,7}:{(22,1),(23,1),(35,1),(36,1)}
       31:{2,4,5,6,7}:{(24,1),(25,1)}
       32:{1,4,5,6,7}:{(24,1),(26,1)}
       33:{1,2,5,6,7}:{(25,1),(26,1),(28,1)}
       34:{1,2,3,4,6}:{(27,1),(39,1)}
       35:{1,2,3,6,7}:{(28,1),(30,1)}
       36:{1,2,3,4,7}:{(29,1),(30,1)}
       37:{1,2,4,5,6,7}:{(31,1),(32,1),(33,1),(41,1),(43,1)}
       38:{1,2,3,5,6,7}:{(33,1),(35,1),(41,1),(43,1),(44,1)}
       39:{1,2,3,5,6}:{(34,1),(42,1),(44,1)}
       40:{1,2,3,4,6,7}:{(34,1),(35,1),(36,1),(43,1),(44,1)}
       41:{3,5,6,7}:{(37,1),(46,1)}
       42:{1,2,4,5,6}:{(39,1),(45,1),(47,1)}
       43:{1,2,4,6,7}:{(38,1),(46,1),(47,1)}
       44:{1,2,3,5,7}:{(39,1),(40,1),(47,1)}
       45:{3,4,5,6}:{(42,1),(48,1)}
       46:{3,4,6,7}:{(41,1),(43,1),(48,1)}
       47:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(48,1)}
       48:{3,4,5,7}:{(45,1),(46,1),(47,1)}

2157 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(15,1),(19,1),(40,1),(41,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(25,1),(50,1)}
        2:{1,2,4,5,7}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(37,1),(40,1)}
        4:{3,4,5,7}:{(2,1),(10,1),(25,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(10,1)}
        6:{1,2,3,5,6,7}:{(3,1),(11,1),(25,1),(31,1),(32,1),(50,1),(51,1)}
        7:{1,2,4,5,6}:{(5,1),(13,1),(14,1),(33,1),(34,1),(37,1)}
        8:{2,3,4,5,7}:{(4,1),(16,1),(17,1),(38,1),(53,1),(62,1)}
        9:{1,3,4,5,7}:{(4,1),(16,1),(18,1),(39,1),(53,1),(62,1)}
       10:{3,4,6}:{(4,1),(5,1),(13,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(14,1),(19,1),(42,1),(43,1)}
       12:{1,2,4,5,6,7}:{(14,1),(20,1),(42,1),(43,1),(44,1)}
       13:{3,5,6}:{(7,1),(10,1),(25,1)}
       14:{1,2,4,5,7}:{(7,1),(11,1),(25,1),(46,1),(47,1),(50,1)}
       15:{1,2,3,4,7}:{(22,1),(26,1),(61,1)}
       16:{1,2,4,5,7}:{(8,1),(9,1),(26,1),(27,1),(48,1),(50,1),(61,1)}
       17:{2,3,4,6}:{(8,1),(10,1),(23,1),(27,1),(59,1)}
       18:{1,3,4,6}:{(9,1),(10,1),(24,1),(27,1),(59,1)}
       19:{3,4,6,7}:{(10,1),(11,1),(25,1)}
       20:{3,5,6,7}:{(12,1),(25,1),(30,1)}
       21:{3,4,5,6}:{(13,1),(33,1),(34,1),(35,1),(54,1)}
       22:{1,2,3,4,6}:{(15,1),(36,1),(40,1),(56,1)}
       23:{2,3,5,6}:{(13,1),(17,1),(33,1),(37,1),(38,1),(54,1)}
       24:{1,3,5,6}:{(13,1),(18,1),(34,1),(37,1),(39,1),(54,1)}
       25:{3,5,7}:{(13,1),(14,1),(19,1)}
       26:{1,2,3,5,7}:{(15,1),(16,1),(36,1),(40,1)}
       27:{1,2,4,6}:{(16,1),(17,1),(18,1),(37,1),(40,1)}
       28:{2,3,4,6,7}:{(17,1),(19,1),(38,1),(41,1),(42,1),(58,1),(62,1)}
       29:{1,3,4,6,7}:{(18,1),(19,1),(39,1),(41,1),(43,1),(58,1),(62,1)}
       30:{3,4,6,7}:{(20,1),(35,1),(42,1),(43,1),(58,1)}
       31:{2,3,5,6,7}:{(20,1),(38,1),(42,1),(44,1),(58,1)}
       32:{1,3,5,6,7}:{(20,1),(39,1),(43,1),(44,1),(58,1)}
       33:{2,4,5,6}:{(21,1),(23,1),(46,1)}
       34:{1,4,5,6}:{(21,1),(24,1),(47,1)}
       35:{3,4,5,7}:{(21,1),(25,1),(30,1),(46,1),(47,1),(60,1)}
       36:{1,2,3,5}:{(22,1),(48,1)}
       37:{1,2,5,6}:{(23,1),(24,1),(27,1),(50,1)}
       38:{2,3,5,7}:{(23,1),(25,1),(28,1),(46,1),(50,1),(60,1)}
       39:{1,3,5,7}:{(24,1),(25,1),(29,1),(47,1),(50,1),(60,1)}
       40:{1,2,3,6}:{(26,1),(27,1)}
       41:{1,2,4,6,7}:{(27,1),(28,1),(29,1),(50,1),(51,1),(61,1)}
       42:{2,4,6,7}:{(30,1),(31,1),(46,1)}
       43:{1,4,6,7}:{(30,1),(32,1),(47,1)}
       44:{1,2,5,6,7}:{(31,1),(32,1),(50,1),(52,1)}
       45:{1,2,4,5,6}:{(33,1),(34,1),(37,1),(54,1),(55,1),(56,1)}
       46:{2,4,5,7}:{(33,1),(35,1),(38,1),(42,1)}
       47:{1,4,5,7}:{(34,1),(35,1),(39,1),(43,1)}
       48:{1,2,4,5}:{(36,1),(53,1),(56,1)}
       49:{1,2,3,5,6}:{(36,1),(37,1),(40,1),(54,1),(56,1),(57,1)}
       50:{1,2,5,7}:{(37,1),(38,1),(39,1),(41,1)}
       51:{1,2,3,6,7}:{(40,1),(41,1),(57,1),(58,1)}
       52:{1,2,4,6,7}:{(42,1),(43,1),(44,1),(55,1),(58,1)}
       53:{3,4,5}:{(48,1),(59,1)}
       54:{3,5,6}:{(45,1),(59,1),(60,1)}
       55:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(50,1),(52,1),(60,1),(61,1)}
       56:{1,2,4,6}:{(48,1),(49,1),(59,1),(61,1)}
       57:{1,2,3,5,7}:{(49,1),(50,1),(51,1),(60,1),(61,1)}
       58:{3,6,7}:{(52,1),(60,1)}
       59:{3,4,6}:{(53,1),(54,1),(56,1),(62,1)}
       60:{3,5,7}:{(54,1),(55,1),(58,1),(62,1)}
       61:{1,2,4,7}:{(56,1),(57,1),(62,1)}
       62:{3,4,7}:{(59,1),(60,1),(61,1)}

2158 :   0:{2,3,4,5,6}:{(2,1),(3,1),(22,1),(88,1),(119,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(17,1),(84,1),(121,1)}
         2:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(35,1),(68,1),(101,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(24,1),(99,1),(102,1)}
         4:{1,3,4,5,7}:{(1,1),(9,1),(10,1),(29,1),(63,1),(104,1)}
         5:{1,2,4,5,6}:{(1,1),(10,1),(11,1),(24,1),(99,1),(105,1)}
         6:{2,3,4,6,7}:{(2,1),(14,1),(15,1),(82,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(15,1),(16,1),(39,1),(79,1),(83,1)}
         8:{1,3,5,6}:{(3,1),(16,1),(17,1)}
         9:{1,3,4,6,7}:{(4,1),(19,1),(20,1),(86,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(20,1),(21,1),(39,1),(79,1),(87,1)}
        11:{2,3,5,6}:{(5,1),(21,1),(22,1)}
        12:{1,2,3,5,6}:{(8,1),(11,1),(23,1),(24,1),(52,1),(92,1),(99,1)}
        13:{3,4,5,6,7}:{(25,1),(26,1),(61,1),(104,1)}
        14:{2,3,5,6,7}:{(6,1),(26,1),(27,1),(61,1),(68,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(27,1),(28,1),(62,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(28,1),(29,1)}
        17:{1,3,4,6}:{(8,1),(24,1),(29,1),(30,1)}
        18:{3,4,5,6,7}:{(31,1),(32,1),(66,1),(101,1)}
        19:{1,3,5,6,7}:{(9,1),(31,1),(33,1),(63,1),(66,1)}
        20:{1,2,4,6,7}:{(9,1),(10,1),(33,1),(34,1),(67,1)}
        21:{2,3,5,7}:{(10,1),(11,1),(34,1),(35,1)}
        22:{2,3,4,6}:{(11,1),(24,1),(35,1),(36,1)}
        23:{1,2,3,5,7}:{(12,1),(16,1),(21,1),(38,1),(39,1),(79,1)}
        24:{1,2,4,6}:{(12,1),(17,1),(22,1),(39,1),(40,1)}
        25:{1,4,5,6,7}:{(13,1),(41,1),(120,1)}
        26:{2,4,5,6,7}:{(13,1),(14,1),(87,1)}
        27:{1,2,5,6,7}:{(14,1),(15,1),(43,1),(79,1)}
        28:{1,3,6,7}:{(15,1),(16,1)}
        29:{1,3,4,7}:{(16,1),(17,1),(39,1)}
        30:{1,3,4,5}:{(17,1),(40,1)}
        31:{1,4,5,6,7}:{(18,1),(19,1),(83,1)}
        32:{2,4,5,6,7}:{(18,1),(46,1),(118,1)}
        33:{1,2,5,6,7}:{(19,1),(20,1),(48,1),(79,1)}
        34:{2,3,6,7}:{(20,1),(21,1)}
        35:{2,3,4,7}:{(21,1),(22,1),(39,1)}
        36:{2,3,4,5}:{(22,1),(40,1)}
        37:{1,2,3,4,6}:{(24,1),(51,1),(52,1),(92,1)}
        38:{1,2,3,6,7}:{(23,1),(28,1),(34,1),(58,1),(92,1)}
        39:{1,2,4,7}:{(23,1),(24,1),(29,1),(35,1)}
        40:{1,2,4,5}:{(24,1),(30,1),(36,1),(52,1)}
        41:{1,3,5,6,7}:{(25,1),(55,1),(60,1),(61,1),(132,1)}
        42:{1,2,4,5,6,7}:{(25,1),(26,1),(27,1),(60,1),(61,1),(62,1),(98,1),(100,1)}
        43:{1,3,5,6,7}:{(27,1),(28,1),(61,1),(62,1),(63,1)}
        44:{1,3,4,6,7}:{(28,1),(29,1),(58,1),(62,1),(63,1),(64,1),(97,1)}
        45:{1,3,4,5,7}:{(29,1),(30,1),(59,1),(63,1),(64,1),(125,1)}
        46:{2,3,5,6,7}:{(32,1),(56,1),(65,1),(66,1),(131,1)}
        47:{1,2,4,5,6,7}:{(31,1),(32,1),(33,1),(65,1),(66,1),(67,1),(98,1),(103,1)}
        48:{2,3,5,6,7}:{(33,1),(34,1),(66,1),(67,1),(68,1)}
        49:{2,3,4,6,7}:{(34,1),(35,1),(58,1),(67,1),(68,1),(69,1),(97,1)}
        50:{2,3,4,5,7}:{(35,1),(36,1),(59,1),(68,1),(69,1),(125,1)}
        51:{1,2,3,4,7}:{(37,1),(39,1),(73,1)}
        52:{1,2,3,5}:{(37,1),(40,1)}
        53:{1,3,4,5,6}:{(70,1),(74,1),(112,1),(119,1),(144,1)}
        54:{2,3,4,5,6}:{(71,1),(75,1),(111,1),(121,1),(143,1)}
        55:{1,3,4,6,7}:{(41,1),(70,1),(76,1),(82,1)}
        56:{2,3,4,6,7}:{(46,1),(71,1),(77,1),(86,1)}
        57:{1,2,3,5,6,7}:{(38,1),(43,1),(48,1),(78,1),(79,1),(81,1),(85,1),(109,1),(113,1),(116,1),(142,1)}
        58:{1,2,4,6,7}:{(38,1),(39,1),(44,1),(49,1),(79,1),(80,1)}
        59:{1,2,4,5,7}:{(39,1),(40,1),(45,1),(50,1),(73,1),(79,1),(80,1)}
        60:{1,2,5,6,7}:{(41,1),(76,1),(81,1),(142,1)}
        61:{3,5,6,7}:{(42,1),(82,1),(116,1)}
        62:{1,4,6,7}:{(43,1),(82,1),(83,1)}
        63:{1,3,5,7}:{(44,1),(79,1),(83,1),(84,1),(116,1)}
        64:{1,3,4,6}:{(45,1),(80,1),(84,1),(139,1)}
        65:{1,2,5,6,7}:{(46,1),(77,1),(85,1),(142,1)}
        66:{3,5,6,7}:{(47,1),(86,1),(116,1)}
        67:{2,4,6,7}:{(48,1),(86,1),(87,1)}
        68:{2,3,5,7}:{(49,1),(79,1),(87,1),(88,1),(116,1)}
        69:{2,3,4,6}:{(50,1),(80,1),(88,1),(139,1)}
        70:{1,3,4,5,7}:{(53,1),(55,1),(89,1),(101,1),(124,1),(132,1)}
        71:{2,3,4,5,7}:{(54,1),(56,1),(90,1),(104,1),(123,1),(131,1)}
        72:{1,2,3,4,6,7}:{(51,1),(58,1),(91,1),(92,1),(97,1),(126,1),(130,1),(145,1),(153,1)}
        73:{1,2,3,5,7}:{(51,1),(52,1),(59,1),(92,1)}
        74:{1,2,4,5,6}:{(53,1),(89,1),(93,1),(127,1),(134,1),(150,1)}
        75:{1,2,4,5,6}:{(54,1),(90,1),(94,1),(127,1),(135,1),(150,1)}
        76:{1,2,4,6,7}:{(55,1),(60,1),(89,1),(95,1),(100,1)}
        77:{1,2,4,6,7}:{(56,1),(65,1),(90,1),(96,1),(103,1)}
        78:{1,2,4,6,7}:{(57,1),(62,1),(67,1),(97,1),(98,1),(100,1),(103,1),(126,1)}
        79:{1,2,5,7}:{(58,1),(63,1),(68,1),(99,1)}
        80:{1,2,4,6}:{(59,1),(64,1),(69,1),(92,1),(99,1)}
        81:{2,3,5,6,7}:{(60,1),(61,1),(95,1),(100,1),(131,1)}
        82:{3,4,6,7}:{(61,1),(62,1),(100,1),(101,1)}
        83:{1,4,5,7}:{(62,1),(63,1),(101,1),(102,1)}
        84:{1,3,5,6}:{(63,1),(64,1),(99,1),(102,1),(133,1)}
        85:{1,3,5,6,7}:{(65,1),(66,1),(96,1),(103,1),(132,1)}
        86:{3,4,6,7}:{(66,1),(67,1),(103,1),(104,1)}
        87:{2,4,5,7}:{(67,1),(68,1),(104,1),(105,1)}
        88:{2,3,5,6}:{(68,1),(69,1),(99,1),(105,1),(133,1)}
        89:{1,2,4,5,7}:{(70,1),(74,1),(76,1),(106,1),(118,1),(136,1),(142,1)}
        90:{1,2,4,5,7}:{(71,1),(75,1),(77,1),(107,1),(120,1),(136,1),(142,1)}
        91:{1,2,3,5,7}:{(72,1),(79,1),(108,1),(109,1),(116,1),(142,1)}
        92:{1,2,3,6}:{(73,1),(80,1)}
        93:{2,3,5,6}:{(74,1),(106,1),(111,1)}
        94:{1,3,5,6}:{(75,1),(107,1),(112,1)}
        95:{2,3,6,7}:{(76,1),(106,1)}
        96:{1,3,6,7}:{(77,1),(107,1)}
        97:{3,4,6,7}:{(78,1),(116,1),(139,1)}
        98:{1,2,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(116,1),(117,1),(118,1),(120,1),(142,1)}
        99:{1,2,5,6}:{(79,1),(80,1),(84,1),(88,1)}
       100:{2,4,6,7}:{(81,1),(82,1),(118,1)}
       101:{3,4,5,7}:{(82,1),(83,1),(116,1),(118,1),(119,1)}
       102:{1,4,5,6}:{(83,1),(84,1),(119,1)}
       103:{1,4,6,7}:{(85,1),(86,1),(120,1)}
       104:{3,4,5,7}:{(86,1),(87,1),(116,1),(120,1),(121,1)}
       105:{2,4,5,6}:{(87,1),(88,1),(121,1)}
       106:{2,3,5,7}:{(89,1),(93,1),(95,1),(123,1)}
       107:{1,3,5,7}:{(90,1),(94,1),(96,1),(124,1)}
       108:{1,2,4,5,7}:{(91,1),(125,1),(126,1)}
       109:{1,2,3,5,6}:{(91,1),(92,1),(99,1),(126,1),(133,1),(150,1),(153,1)}
       110:{1,2,3,5,6}:{(93,1),(94,1),(122,1),(127,1),(149,1),(150,1),(153,1)}
       111:{2,3,4,6}:{(93,1),(123,1),(127,1),(128,1)}
       112:{1,3,4,6}:{(94,1),(124,1),(127,1),(129,1)}
       113:{1,2,3,6,7}:{(95,1),(96,1),(122,1),(130,1),(153,1)}
       114:{2,3,4,6,7}:{(95,1),(97,1),(100,1),(123,1),(130,1),(131,1),(147,1)}
       115:{1,3,4,6,7}:{(96,1),(97,1),(103,1),(124,1),(130,1),(132,1),(148,1)}
       116:{3,5,7}:{(97,1),(98,1),(133,1)}
       117:{1,2,4,5,6}:{(98,1),(99,1),(102,1),(105,1),(126,1),(133,1),(134,1),(135,1),(150,1)}
       118:{2,4,5,7}:{(100,1),(101,1),(131,1),(134,1)}
       119:{3,4,5,6}:{(101,1),(102,1),(133,1),(134,1)}
       120:{1,4,5,7}:{(103,1),(104,1),(132,1),(135,1)}
       121:{3,4,5,6}:{(104,1),(105,1),(133,1),(135,1)}
       122:{1,2,3,5,7}:{(106,1),(107,1),(110,1),(113,1),(136,1),(142,1)}
       123:{2,3,4,7}:{(106,1),(111,1),(136,1)}
       124:{1,3,4,7}:{(107,1),(112,1),(136,1)}
       125:{3,4,5,7}:{(108,1),(116,1),(139,1)}
       126:{1,2,4,6}:{(108,1),(109,1),(139,1)}
       127:{1,2,4,6}:{(110,1),(111,1),(112,1),(136,1),(141,1)}
       128:{2,3,4,5}:{(111,1),(141,1)}
       129:{1,3,4,5}:{(112,1),(141,1)}
       130:{1,2,4,6,7}:{(113,1),(114,1),(115,1),(136,1),(142,1),(152,1)}
       131:{2,3,5,7}:{(114,1),(116,1),(118,1),(142,1),(143,1)}
       132:{1,3,5,7}:{(115,1),(116,1),(120,1),(142,1),(144,1)}
       133:{3,5,6}:{(116,1),(117,1),(139,1)}
       134:{2,4,5,6}:{(118,1),(119,1),(143,1)}
       135:{1,4,5,6}:{(120,1),(121,1),(144,1)}
       136:{1,2,4,7}:{(122,1),(123,1),(124,1),(127,1)}
       137:{2,3,4,5,7}:{(123,1),(125,1),(128,1),(131,1),(146,1),(147,1)}
       138:{1,3,4,5,7}:{(124,1),(125,1),(129,1),(132,1),(146,1),(148,1)}
       139:{3,4,6}:{(125,1),(126,1),(133,1)}
       140:{1,2,3,4,6}:{(127,1),(145,1),(149,1),(153,1)}
       141:{1,2,4,5}:{(127,1),(128,1),(129,1),(149,1)}
       142:{1,2,5,7}:{(130,1),(131,1),(132,1),(150,1)}
       143:{2,3,5,6}:{(131,1),(133,1),(134,1),(147,1),(150,1)}
       144:{1,3,5,6}:{(132,1),(133,1),(135,1),(148,1),(150,1)}
       145:{1,2,3,4,7}:{(136,1),(140,1),(151,1)}
       146:{1,2,4,5,7}:{(136,1),(137,1),(138,1),(141,1),(142,1),(151,1),(152,1)}
       147:{2,3,4,6}:{(137,1),(139,1),(143,1),(152,1)}
       148:{1,3,4,6}:{(138,1),(139,1),(144,1),(152,1)}
       149:{1,2,3,5}:{(140,1),(141,1)}
       150:{1,2,5,6}:{(142,1),(143,1),(144,1),(152,1)}
       151:{1,2,3,5,7}:{(145,1),(146,1),(149,1),(153,1)}
       152:{1,2,4,6}:{(146,1),(147,1),(148,1),(150,1),(153,1)}
       153:{1,2,3,6}:{(151,1),(152,1)}

2159 :   0:{2,3,4,5,6}:{(3,1),(4,1),(26,1),(57,1),(83,1)}
         1:{1,3,4,5,6}:{(5,1),(6,1),(21,1),(52,1),(88,1)}
         2:{1,2,3,4,6}:{(7,1),(8,1),(31,1),(34,1)}
         3:{1,2,4,5,6}:{(0,1),(10,1),(11,1),(31,1),(62,1),(67,1)}
         4:{2,3,4,5,7}:{(0,1),(11,1),(12,1),(41,1),(71,1),(98,1)}
         5:{1,2,4,5,6}:{(1,1),(14,1),(15,1),(31,1),(62,1),(72,1)}
         6:{1,3,4,5,7}:{(1,1),(15,1),(16,1),(36,1),(66,1),(104,1)}
         7:{1,2,3,5}:{(2,1),(17,1)}
         8:{1,2,3,4,7}:{(2,1),(19,1),(46,1)}
         9:{1,3,4,5}:{(17,1),(21,1)}
        10:{1,3,5,6}:{(3,1),(21,1),(23,1)}
        11:{1,2,4,5,7}:{(3,1),(4,1),(23,1),(24,1),(46,1),(76,1),(82,1)}
        12:{2,3,4,6,7}:{(4,1),(24,1),(25,1),(84,1)}
        13:{2,3,4,5}:{(17,1),(26,1)}
        14:{2,3,5,6}:{(5,1),(26,1),(28,1)}
        15:{1,2,4,5,7}:{(5,1),(6,1),(28,1),(29,1),(46,1),(76,1),(87,1)}
        16:{1,3,4,6,7}:{(6,1),(29,1),(30,1),(89,1)}
        17:{1,2,4,5}:{(7,1),(9,1),(13,1),(31,1)}
        18:{1,2,3,5,6}:{(7,1),(10,1),(14,1),(31,1),(33,1),(34,1),(62,1)}
        19:{1,2,3,5,7}:{(7,1),(8,1),(32,1),(34,1)}
        20:{1,2,3,4,6,7}:{(8,1),(34,1),(35,1),(61,1),(64,1),(94,1),(128,1),(129,1),(130,1)}
        21:{1,3,4,6}:{(9,1),(10,1),(31,1),(36,1)}
        22:{1,3,4,5,7}:{(9,1),(32,1),(36,1),(37,1),(65,1),(66,1)}
        23:{1,3,5,7}:{(10,1),(11,1),(36,1),(38,1)}
        24:{1,2,4,6,7}:{(11,1),(12,1),(38,1),(39,1),(68,1)}
        25:{2,3,5,6,7}:{(12,1),(39,1),(40,1),(69,1),(71,1)}
        26:{2,3,4,6}:{(13,1),(14,1),(31,1),(41,1)}
        27:{2,3,4,5,7}:{(13,1),(32,1),(41,1),(42,1),(65,1),(71,1)}
        28:{2,3,5,7}:{(14,1),(15,1),(41,1),(43,1)}
        29:{1,2,4,6,7}:{(15,1),(16,1),(43,1),(44,1),(73,1)}
        30:{1,3,5,6,7}:{(16,1),(44,1),(45,1),(66,1),(74,1)}
        31:{1,2,4,6}:{(17,1),(18,1),(21,1),(26,1),(46,1)}
        32:{1,2,4,5,7}:{(17,1),(19,1),(22,1),(27,1),(46,1),(47,1),(76,1)}
        33:{1,2,3,5,7}:{(18,1),(23,1),(28,1),(46,1),(48,1),(76,1)}
        34:{1,2,3,6}:{(19,1),(47,1)}
        35:{1,2,3,5,7}:{(20,1),(49,1),(50,1),(76,1),(110,1),(137,1)}
        36:{1,3,4,7}:{(21,1),(23,1),(46,1)}
        37:{1,3,4,6}:{(22,1),(47,1),(52,1),(79,1)}
        38:{1,3,6,7}:{(23,1),(24,1)}
        39:{1,2,5,6,7}:{(24,1),(25,1),(53,1),(76,1)}
        40:{2,4,5,6,7}:{(25,1),(55,1),(87,1)}
        41:{2,3,4,7}:{(26,1),(28,1),(46,1)}
        42:{2,3,4,6}:{(27,1),(47,1),(57,1),(79,1)}
        43:{2,3,6,7}:{(28,1),(29,1)}
        44:{1,2,5,6,7}:{(29,1),(30,1),(58,1),(76,1)}
        45:{1,4,5,6,7}:{(30,1),(60,1),(82,1)}
        46:{1,2,4,7}:{(31,1),(33,1),(36,1),(41,1)}
        47:{1,2,4,6}:{(32,1),(34,1),(37,1),(42,1),(62,1)}
        48:{1,2,3,6,7}:{(33,1),(34,1),(38,1),(43,1),(61,1)}
        49:{1,2,3,5,6}:{(34,1),(35,1),(62,1),(64,1),(93,1),(127,1),(129,1)}
        50:{1,2,4,5,7}:{(35,1),(64,1),(65,1)}
        51:{1,3,4,6,7}:{(36,1),(37,1),(38,1),(61,1),(66,1),(68,1),(94,1)}
        52:{1,3,5,6}:{(37,1),(62,1),(66,1),(67,1),(93,1)}
        53:{1,3,5,6,7}:{(38,1),(39,1),(66,1),(68,1),(69,1)}
        54:{1,2,4,5,6,7}:{(39,1),(40,1),(68,1),(69,1),(70,1),(92,1),(102,1),(103,1)}
        55:{3,4,5,6,7}:{(40,1),(69,1),(70,1),(104,1)}
        56:{2,3,4,6,7}:{(41,1),(42,1),(43,1),(61,1),(71,1),(73,1),(94,1)}
        57:{2,3,5,6}:{(42,1),(62,1),(71,1),(72,1),(93,1)}
        58:{2,3,5,6,7}:{(43,1),(44,1),(71,1),(73,1),(74,1)}
        59:{1,2,4,5,6,7}:{(44,1),(45,1),(73,1),(74,1),(75,1),(92,1),(107,1),(109,1)}
        60:{3,4,5,6,7}:{(45,1),(74,1),(75,1),(98,1)}
        61:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(51,1),(56,1),(76,1)}
        62:{1,2,5,6}:{(47,1),(52,1),(57,1),(76,1)}
        63:{1,2,3,5,6,7}:{(48,1),(49,1),(53,1),(58,1),(76,1),(78,1),(86,1),(90,1),(110,1),(137,1),(139,1)}
        64:{1,2,4,6}:{(49,1),(50,1),(79,1)}
        65:{3,4,5,7}:{(50,1),(79,1),(110,1)}
        66:{1,3,5,7}:{(51,1),(52,1),(76,1),(82,1),(110,1)}
        67:{1,4,5,6}:{(52,1),(82,1),(83,1)}
        68:{1,4,6,7}:{(53,1),(82,1),(84,1)}
        69:{3,5,6,7}:{(54,1),(84,1),(110,1)}
        70:{1,4,5,6,7}:{(55,1),(85,1),(121,1)}
        71:{2,3,5,7}:{(56,1),(57,1),(76,1),(87,1),(110,1)}
        72:{2,4,5,6}:{(57,1),(87,1),(88,1)}
        73:{2,4,6,7}:{(58,1),(87,1),(89,1)}
        74:{3,5,6,7}:{(59,1),(89,1),(110,1)}
        75:{2,4,5,6,7}:{(60,1),(91,1),(118,1)}
        76:{1,2,5,7}:{(61,1),(62,1),(66,1),(71,1)}
        77:{1,2,4,5,6}:{(62,1),(64,1),(67,1),(72,1),(92,1),(93,1),(100,1),(105,1),(127,1)}
        78:{1,2,4,6,7}:{(63,1),(64,1),(68,1),(73,1),(92,1),(94,1),(102,1),(107,1)}
        79:{3,4,6}:{(64,1),(65,1),(93,1)}
        80:{1,3,4,5,7}:{(65,1),(95,1),(97,1),(125,1),(150,1),(151,1)}
        81:{2,3,4,5,7}:{(65,1),(96,1),(97,1),(126,1),(148,1),(149,1)}
        82:{1,4,5,7}:{(66,1),(67,1),(68,1),(98,1)}
        83:{3,4,5,6}:{(67,1),(93,1),(98,1),(100,1)}
        84:{3,4,6,7}:{(68,1),(69,1),(98,1),(102,1)}
        85:{1,3,5,6,7}:{(69,1),(70,1),(101,1),(103,1),(125,1)}
        86:{2,3,5,6,7}:{(69,1),(102,1),(103,1),(126,1),(133,1)}
        87:{2,4,5,7}:{(71,1),(72,1),(73,1),(104,1)}
        88:{3,4,5,6}:{(72,1),(93,1),(104,1),(105,1)}
        89:{3,4,6,7}:{(73,1),(74,1),(104,1),(107,1)}
        90:{1,3,5,6,7}:{(74,1),(107,1),(109,1),(125,1),(136,1)}
        91:{2,3,5,6,7}:{(74,1),(75,1),(108,1),(109,1),(126,1)}
        92:{1,2,4,5,7}:{(76,1),(77,1),(78,1),(82,1),(87,1),(110,1),(118,1),(121,1),(137,1)}
        93:{3,5,6}:{(77,1),(79,1),(110,1)}
        94:{3,4,6,7}:{(78,1),(79,1),(110,1)}
        95:{1,3,4,6}:{(79,1),(80,1),(111,1),(115,1)}
        96:{2,3,4,6}:{(79,1),(81,1),(112,1),(115,1)}
        97:{1,2,4,5,7}:{(80,1),(81,1),(115,1),(116,1),(137,1),(152,1),(153,1)}
        98:{3,4,5,7}:{(82,1),(83,1),(84,1),(110,1),(118,1)}
        99:{1,3,4,5,6}:{(83,1),(111,1),(117,1),(119,1),(144,1)}
       100:{2,4,5,6}:{(83,1),(112,1),(118,1)}
       101:{1,3,4,6,7}:{(84,1),(85,1),(117,1),(120,1)}
       102:{2,4,6,7}:{(84,1),(86,1),(118,1)}
       103:{1,2,5,6,7}:{(85,1),(86,1),(120,1),(137,1)}
       104:{3,4,5,7}:{(87,1),(88,1),(89,1),(110,1),(121,1)}
       105:{1,4,5,6}:{(88,1),(111,1),(121,1)}
       106:{2,3,4,5,6}:{(88,1),(112,1),(122,1),(123,1),(142,1)}
       107:{1,4,6,7}:{(89,1),(90,1),(121,1)}
       108:{2,3,4,6,7}:{(89,1),(91,1),(122,1),(124,1)}
       109:{1,2,5,6,7}:{(90,1),(91,1),(124,1),(137,1)}
       110:{3,5,7}:{(92,1),(93,1),(94,1)}
       111:{1,3,5,6}:{(93,1),(95,1),(105,1),(125,1),(127,1)}
       112:{2,3,5,6}:{(93,1),(96,1),(100,1),(126,1),(127,1)}
       113:{1,3,4,6,7}:{(94,1),(95,1),(107,1),(125,1),(128,1),(136,1),(150,1)}
       114:{2,3,4,6,7}:{(94,1),(96,1),(102,1),(126,1),(128,1),(133,1),(148,1)}
       115:{1,2,4,6}:{(95,1),(96,1),(97,1),(127,1),(129,1)}
       116:{1,2,3,5,7}:{(97,1),(129,1),(130,1),(147,1)}
       117:{1,3,4,5,7}:{(98,1),(99,1),(101,1),(125,1),(131,1),(150,1)}
       118:{2,4,5,7}:{(98,1),(100,1),(102,1),(126,1)}
       119:{1,2,4,5,6}:{(99,1),(100,1),(127,1),(131,1),(132,1),(146,1)}
       120:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(131,1),(133,1)}
       121:{1,4,5,7}:{(104,1),(105,1),(107,1),(125,1)}
       122:{2,3,4,5,7}:{(104,1),(106,1),(108,1),(126,1),(134,1),(148,1)}
       123:{1,2,4,5,6}:{(105,1),(106,1),(127,1),(134,1),(135,1),(146,1)}
       124:{1,2,4,6,7}:{(107,1),(108,1),(109,1),(134,1),(136,1)}
       125:{1,3,5,7}:{(110,1),(111,1),(113,1),(121,1),(137,1)}
       126:{2,3,5,7}:{(110,1),(112,1),(114,1),(118,1),(137,1)}
       127:{1,2,5,6}:{(111,1),(112,1),(115,1),(137,1)}
       128:{1,2,4,6,7}:{(113,1),(114,1),(115,1),(137,1),(139,1),(152,1)}
       129:{1,2,3,6}:{(115,1),(116,1)}
       130:{1,2,3,4,7}:{(116,1),(140,1),(152,1)}
       131:{1,2,4,5,7}:{(117,1),(118,1),(119,1),(120,1),(137,1),(141,1),(152,1)}
       132:{2,3,5,6}:{(119,1),(141,1),(142,1)}
       133:{2,3,6,7}:{(120,1),(141,1)}
       134:{1,2,4,5,7}:{(121,1),(122,1),(123,1),(124,1),(137,1),(143,1),(152,1)}
       135:{1,3,5,6}:{(123,1),(143,1),(144,1)}
       136:{1,3,6,7}:{(124,1),(143,1)}
       137:{1,2,5,7}:{(125,1),(126,1),(127,1),(128,1)}
       138:{1,2,3,5,6}:{(127,1),(129,1),(132,1),(135,1),(145,1),(146,1),(147,1)}
       139:{1,2,3,6,7}:{(128,1),(129,1),(133,1),(136,1),(145,1)}
       140:{1,2,3,4,6}:{(129,1),(130,1),(146,1),(147,1)}
       141:{2,3,5,7}:{(131,1),(132,1),(133,1),(148,1)}
       142:{2,3,4,6}:{(132,1),(146,1),(148,1),(149,1)}
       143:{1,3,5,7}:{(134,1),(135,1),(136,1),(150,1)}
       144:{1,3,4,6}:{(135,1),(146,1),(150,1),(151,1)}
       145:{1,2,3,5,7}:{(137,1),(138,1),(139,1),(141,1),(143,1),(152,1)}
       146:{1,2,4,6}:{(138,1),(142,1),(144,1),(152,1),(153,1)}
       147:{1,2,3,5}:{(140,1),(153,1)}
       148:{2,3,4,7}:{(141,1),(142,1),(152,1)}
       149:{2,3,4,5}:{(142,1),(153,1)}
       150:{1,3,4,7}:{(143,1),(144,1),(152,1)}
       151:{1,3,4,5}:{(144,1),(153,1)}
       152:{1,2,4,7}:{(145,1),(146,1),(148,1),(150,1)}
       153:{1,2,4,5}:{(146,1),(147,1),(149,1),(151,1)}

2160 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(16,1),(40,1),(41,1),(42,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(24,1),(47,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(15,1),(39,1),(41,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(9,1),(22,1),(23,1),(24,1),(47,1),(49,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(10,1)}
        6:{3,4,5,7}:{(3,1),(10,1),(24,1)}
        7:{1,2,4,5,6,7}:{(13,1),(14,1),(34,1),(35,1),(36,1)}
        8:{1,2,4,5,6}:{(5,1),(14,1),(15,1),(32,1),(33,1),(39,1)}
        9:{1,2,4,6,7}:{(4,1),(5,1),(14,1),(16,1),(34,1),(35,1)}
       10:{3,4,6}:{(5,1),(6,1),(15,1)}
       11:{1,3,4,5,7}:{(6,1),(17,1),(19,1),(37,1),(61,1),(62,1)}
       12:{2,3,4,5,7}:{(6,1),(18,1),(19,1),(38,1),(61,1),(62,1)}
       13:{3,5,6,7}:{(7,1),(21,1),(24,1)}
       14:{1,2,4,5,7}:{(8,1),(9,1),(24,1),(43,1),(44,1),(47,1)}
       15:{3,5,6}:{(8,1),(10,1),(24,1)}
       16:{3,4,6,7}:{(9,1),(10,1),(24,1)}
       17:{1,3,4,6}:{(10,1),(11,1),(25,1),(29,1),(58,1)}
       18:{2,3,4,6}:{(10,1),(12,1),(26,1),(29,1),(58,1)}
       19:{1,2,4,5,7}:{(11,1),(12,1),(29,1),(30,1),(47,1),(59,1),(60,1)}
       20:{3,4,5,6}:{(15,1),(31,1),(32,1),(33,1),(52,1)}
       21:{3,4,6,7}:{(13,1),(31,1),(34,1),(35,1),(53,1)}
       22:{1,3,5,6,7}:{(13,1),(34,1),(36,1),(37,1),(53,1)}
       23:{2,3,5,6,7}:{(13,1),(35,1),(36,1),(38,1),(53,1)}
       24:{3,5,7}:{(14,1),(15,1),(16,1)}
       25:{1,3,5,6}:{(15,1),(17,1),(32,1),(37,1),(39,1),(52,1)}
       26:{2,3,5,6}:{(15,1),(18,1),(33,1),(38,1),(39,1),(52,1)}
       27:{1,3,4,6,7}:{(16,1),(17,1),(34,1),(37,1),(40,1),(53,1),(61,1)}
       28:{2,3,4,6,7}:{(16,1),(18,1),(35,1),(38,1),(40,1),(53,1),(61,1)}
       29:{1,2,4,6}:{(17,1),(18,1),(19,1),(39,1),(41,1)}
       30:{1,2,3,5,7}:{(19,1),(41,1),(42,1),(56,1)}
       31:{3,4,5,7}:{(20,1),(21,1),(24,1),(43,1),(44,1),(57,1)}
       32:{1,4,5,6}:{(20,1),(25,1),(43,1)}
       33:{2,4,5,6}:{(20,1),(26,1),(44,1)}
       34:{1,4,6,7}:{(21,1),(22,1),(43,1)}
       35:{2,4,6,7}:{(21,1),(23,1),(44,1)}
       36:{1,2,5,6,7}:{(22,1),(23,1),(46,1),(47,1)}
       37:{1,3,5,7}:{(24,1),(25,1),(27,1),(43,1),(47,1),(57,1)}
       38:{2,3,5,7}:{(24,1),(26,1),(28,1),(44,1),(47,1),(57,1)}
       39:{1,2,5,6}:{(25,1),(26,1),(29,1),(47,1)}
       40:{1,2,4,6,7}:{(27,1),(28,1),(29,1),(47,1),(49,1),(59,1)}
       41:{1,2,3,6}:{(29,1),(30,1)}
       42:{1,2,3,4,7}:{(30,1),(50,1),(59,1)}
       43:{1,4,5,7}:{(31,1),(32,1),(34,1),(37,1)}
       44:{2,4,5,7}:{(31,1),(33,1),(35,1),(38,1)}
       45:{1,2,4,5,6}:{(32,1),(33,1),(39,1),(51,1),(52,1),(55,1)}
       46:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(51,1),(53,1)}
       47:{1,2,5,7}:{(37,1),(38,1),(39,1),(40,1)}
       48:{1,2,3,5,6}:{(39,1),(41,1),(52,1),(54,1),(55,1),(56,1)}
       49:{1,2,3,6,7}:{(40,1),(41,1),(53,1),(54,1)}
       50:{1,2,3,4,6}:{(41,1),(42,1),(55,1),(56,1)}
       51:{1,2,4,5,7}:{(43,1),(44,1),(45,1),(46,1),(47,1),(57,1),(59,1)}
       52:{3,5,6}:{(45,1),(57,1),(58,1)}
       53:{3,6,7}:{(46,1),(57,1)}
       54:{1,2,3,5,7}:{(47,1),(48,1),(49,1),(57,1),(59,1)}
       55:{1,2,4,6}:{(48,1),(58,1),(59,1),(60,1)}
       56:{1,2,3,5}:{(50,1),(60,1)}
       57:{3,5,7}:{(51,1),(52,1),(53,1),(61,1)}
       58:{3,4,6}:{(52,1),(55,1),(61,1),(62,1)}
       59:{1,2,4,7}:{(54,1),(55,1),(61,1)}
       60:{1,2,4,5}:{(55,1),(56,1),(62,1)}
       61:{3,4,7}:{(57,1),(58,1),(59,1)}
       62:{3,4,5}:{(58,1),(60,1)}

2161 :  0:{1,2,3,4,5,7}:{(1,1),(4,1),(33,1),(34,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,6,7}:{(1,1),(4,1),(9,1),(32,1),(33,1)}
        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),(18,1),(31,1),(32,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{3,4,5,6}:{(5,1),(10,1)}
        9:{1,2,4,6,7}:{(6,1),(7,1),(14,1)}
       10:{3,4,5,7}:{(7,1),(8,1),(14,1)}
       11:{1,3,4,5,6}:{(8,1),(15,1),(17,1),(48,1)}
       12:{2,3,4,5,6}:{(8,1),(16,1),(17,1),(48,1)}
       13:{1,2,4,5,6,7}:{(9,1),(18,1),(29,1),(30,1),(31,1)}
       14:{3,4,6,7}:{(9,1),(10,1),(18,1)}
       15:{1,3,4,5,7}:{(10,1),(11,1),(19,1),(21,1),(46,1)}
       16:{2,3,4,5,7}:{(10,1),(12,1),(20,1),(21,1),(46,1)}
       17:{1,2,4,5,6}:{(11,1),(12,1),(21,1),(22,1)}
       18:{3,5,6,7}:{(13,1),(14,1)}
       19:{1,3,4,6,7}:{(14,1),(15,1),(24,1),(26,1),(43,1)}
       20:{2,3,4,6,7}:{(14,1),(16,1),(25,1),(26,1),(43,1)}
       21:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(26,1),(27,1)}
       22:{1,2,3,5,6}:{(17,1),(27,1),(28,1)}
       23:{3,4,5,6,7}:{(18,1),(29,1),(30,1),(39,1)}
       24:{1,3,5,6,7}:{(18,1),(19,1),(29,1),(31,1),(39,1)}
       25:{2,3,5,6,7}:{(18,1),(20,1),(30,1),(31,1),(39,1)}
       26:{1,2,4,6,7}:{(19,1),(20,1),(21,1),(31,1),(32,1)}
       27:{1,2,3,5,7}:{(21,1),(22,1),(32,1),(33,1)}
       28:{1,2,3,4,6}:{(22,1),(33,1),(34,1)}
       29:{1,4,5,6,7}:{(23,1),(24,1)}
       30:{2,4,5,6,7}:{(23,1),(25,1)}
       31:{1,2,5,6,7}:{(24,1),(25,1),(26,1)}
       32:{1,2,3,6,7}:{(26,1),(27,1)}
       33:{1,2,3,4,7}:{(27,1),(28,1)}
       34:{1,2,3,4,5}:{(28,1)}
       35:{1,2,4,5,6,7}:{(29,1),(30,1),(31,1),(39,1),(40,1)}
       36:{1,2,3,5,6,7}:{(31,1),(32,1),(39,1),(40,1),(41,1)}
       37:{1,2,3,4,6,7}:{(32,1),(33,1),(40,1),(41,1),(42,1)}
       38:{1,2,3,4,5,7}:{(33,1),(34,1),(41,1),(42,1)}
       39:{3,5,6,7}:{(35,1),(43,1)}
       40:{1,2,4,6,7}:{(36,1),(43,1),(44,1)}
       41:{1,2,3,5,7}:{(37,1),(44,1),(45,1)}
       42:{1,2,3,4,6}:{(38,1),(45,1)}
       43:{3,4,6,7}:{(39,1),(40,1),(46,1)}
       44:{1,2,4,5,7}:{(40,1),(41,1),(46,1),(47,1)}
       45:{1,2,3,5,6}:{(41,1),(42,1),(47,1)}
       46:{3,4,5,7}:{(43,1),(44,1),(48,1)}
       47:{1,2,4,5,6}:{(44,1),(45,1),(48,1)}
       48:{3,4,5,6}:{(46,1),(47,1)}

2162 :  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:{3,4,5,6}:{(4,1),(9,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,2,3,6,7}:{(5,1),(10,1)}
        9:{3,4,5,7}:{(6,1),(7,1),(11,1)}
       10:{1,2,4,6,7}:{(7,1),(8,1),(11,1),(12,1)}
       11:{3,4,6,7}:{(9,1),(10,1),(13,1)}
       12:{1,2,5,6,7}:{(10,1),(13,1)}
       13:{3,5,6,7}:{(11,1),(12,1),(14,1)}
       14:{4,5,6,7}:{(13,1)}

2163 :   0:{1,2,3,5,6,7}:{(3,1),(19,1),(25,1),(33,1),(66,1),(67,1),(68,1),(69,1),(76,1),(78,1),(86,1),(88,1),(122,1),(126,1),(132,1)}
         1:{1,2,4,5,6,7}:{(4,1),(18,1),(23,1),(24,1),(25,1),(75,1)}
         2:{1,2,4,5,6,7}:{(5,1),(18,1),(31,1),(32,1),(33,1),(85,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(93,1),(94,1),(106,1),(114,1),(143,1),(146,1),(150,1)}
         4:{3,5,6,7}:{(1,1),(8,1),(39,1),(104,1)}
         5:{3,5,6,7}:{(2,1),(13,1),(39,1),(112,1)}
         6:{1,2,4,5,7}:{(3,1),(18,1),(19,1),(64,1),(65,1),(68,1),(159,1)}
         7:{3,4,6,7}:{(3,1),(19,1),(63,1),(76,1),(86,1),(128,1),(134,1),(158,1)}
         8:{3,4,6,7}:{(4,1),(22,1),(23,1),(24,1),(63,1),(76,1),(128,1)}
         9:{1,3,5,6,7}:{(4,1),(23,1),(25,1),(26,1),(66,1),(76,1),(126,1)}
        10:{2,3,5,6,7}:{(4,1),(24,1),(25,1),(67,1),(71,1),(76,1),(78,1)}
        11:{1,3,4,6,7}:{(23,1),(26,1),(27,1),(28,1),(76,1),(128,1)}
        12:{1,3,4,5,7}:{(26,1),(28,1),(29,1),(64,1),(90,1),(121,1),(128,1),(136,1),(161,1)}
        13:{3,4,6,7}:{(5,1),(30,1),(31,1),(32,1),(63,1),(86,1),(134,1)}
        14:{1,3,5,6,7}:{(5,1),(31,1),(33,1),(66,1),(81,1),(86,1),(88,1)}
        15:{2,3,5,6,7}:{(5,1),(32,1),(33,1),(34,1),(67,1),(86,1),(132,1)}
        16:{2,3,4,6,7}:{(32,1),(34,1),(35,1),(36,1),(86,1),(134,1)}
        17:{2,3,4,5,7}:{(34,1),(36,1),(37,1),(65,1),(80,1),(121,1),(130,1),(134,1),(163,1)}
        18:{1,2,4,5,6}:{(6,1),(39,1),(93,1),(94,1),(96,1)}
        19:{3,5,7}:{(6,1),(7,1),(39,1),(168,1)}
        20:{1,3,4,6,7}:{(7,1),(40,1),(42,1),(60,1),(93,1),(102,1),(114,1),(115,1),(141,1),(142,1),(146,1),(166,1)}
        21:{2,3,4,6,7}:{(7,1),(41,1),(42,1),(50,1),(94,1),(106,1),(107,1),(110,1),(141,1),(142,1),(150,1),(167,1)}
        22:{3,4,5,7}:{(8,1),(44,1),(45,1),(46,1),(104,1)}
        23:{1,4,6,7}:{(8,1),(9,1),(45,1),(93,1),(146,1)}
        24:{2,4,6,7}:{(8,1),(10,1),(46,1),(94,1),(106,1)}
        25:{1,2,5,6,7}:{(9,1),(10,1),(47,1),(49,1),(96,1),(101,1)}
        26:{1,3,5,7}:{(11,1),(45,1),(48,1),(49,1),(104,1)}
        27:{1,2,4,6,7}:{(11,1),(49,1),(50,1),(51,1),(106,1)}
        28:{1,3,4,6}:{(12,1),(48,1),(51,1),(93,1),(141,1),(147,1)}
        29:{1,2,4,5,7}:{(12,1),(49,1),(51,1),(52,1),(99,1),(106,1),(144,1),(148,1)}
        30:{3,4,5,7}:{(13,1),(54,1),(55,1),(56,1),(112,1)}
        31:{1,4,6,7}:{(13,1),(14,1),(55,1),(93,1),(114,1)}
        32:{2,4,6,7}:{(13,1),(15,1),(56,1),(94,1),(150,1)}
        33:{1,2,5,6,7}:{(14,1),(15,1),(57,1),(59,1),(96,1),(109,1)}
        34:{2,3,5,7}:{(16,1),(56,1),(58,1),(59,1),(112,1)}
        35:{1,2,4,6,7}:{(16,1),(59,1),(60,1),(61,1),(114,1)}
        36:{2,3,4,6}:{(17,1),(58,1),(61,1),(94,1),(141,1),(151,1)}
        37:{1,2,4,5,7}:{(17,1),(59,1),(61,1),(62,1),(99,1),(114,1),(144,1),(152,1)}
        38:{3,4,5,7}:{(19,1),(63,1),(64,1),(65,1),(121,1),(128,1),(134,1),(161,1),(163,1)}
        39:{3,5,6}:{(18,1),(19,1),(63,1)}
        40:{1,3,5,7}:{(19,1),(20,1),(64,1),(66,1),(68,1),(121,1),(136,1),(172,1)}
        41:{2,3,5,7}:{(19,1),(21,1),(65,1),(67,1),(68,1),(121,1),(130,1),(173,1)}
        42:{1,2,4,6,7}:{(20,1),(21,1),(68,1),(69,1),(120,1),(123,1),(124,1),(171,1)}
        43:{2,3,4,6,7}:{(24,1),(71,1),(72,1),(76,1),(116,1),(128,1)}
        44:{3,4,5,6}:{(22,1),(63,1),(73,1),(74,1),(127,1),(163,1)}
        45:{1,4,5,7}:{(22,1),(23,1),(26,1),(73,1)}
        46:{2,4,5,7}:{(22,1),(24,1),(71,1),(74,1)}
        47:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(75,1),(76,1),(120,1)}
        48:{1,3,5,6}:{(26,1),(28,1),(73,1),(77,1),(127,1),(136,1)}
        49:{1,2,5,7}:{(26,1),(27,1),(77,1),(78,1)}
        50:{2,3,6,7}:{(27,1),(76,1),(78,1),(79,1)}
        51:{1,2,4,6}:{(28,1),(29,1),(77,1),(79,1),(129,1)}
        52:{2,3,5,7}:{(29,1),(79,1),(80,1),(121,1),(130,1)}
        53:{1,3,4,6,7}:{(31,1),(81,1),(82,1),(86,1),(118,1),(134,1)}
        54:{3,4,5,6}:{(30,1),(63,1),(83,1),(84,1),(133,1),(161,1)}
        55:{1,4,5,7}:{(30,1),(31,1),(81,1),(83,1)}
        56:{2,4,5,7}:{(30,1),(32,1),(34,1),(84,1)}
        57:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(85,1),(86,1),(120,1)}
        58:{2,3,5,6}:{(34,1),(36,1),(84,1),(87,1),(130,1),(133,1)}
        59:{1,2,5,7}:{(34,1),(35,1),(87,1),(88,1)}
        60:{1,3,6,7}:{(35,1),(86,1),(88,1),(89,1)}
        61:{1,2,4,6}:{(36,1),(37,1),(87,1),(89,1),(135,1)}
        62:{1,3,5,7}:{(37,1),(89,1),(90,1),(121,1),(136,1)}
        63:{3,4,6}:{(38,1),(39,1),(93,1),(94,1),(141,1)}
        64:{1,4,5,7}:{(38,1),(40,1),(93,1),(114,1),(146,1),(152,1),(169,1)}
        65:{2,4,5,7}:{(38,1),(41,1),(94,1),(106,1),(148,1),(150,1),(170,1)}
        66:{1,3,5,6}:{(39,1),(40,1),(93,1),(96,1),(141,1)}
        67:{2,3,5,6}:{(39,1),(41,1),(94,1),(96,1),(141,1)}
        68:{1,2,5,7}:{(40,1),(41,1),(42,1),(96,1),(144,1),(174,1)}
        69:{1,2,3,6,7}:{(42,1),(50,1),(60,1),(97,1),(98,1),(102,1),(110,1),(141,1),(164,1)}
        70:{1,2,3,5,7}:{(52,1),(62,1),(98,1),(99,1),(144,1)}
        71:{2,3,5,7}:{(43,1),(46,1),(100,1),(101,1),(104,1)}
        72:{1,2,4,6,7}:{(43,1),(101,1),(102,1),(137,1),(146,1)}
        73:{1,4,5,6}:{(44,1),(45,1),(48,1),(93,1),(152,1)}
        74:{2,4,5,6}:{(44,1),(46,1),(94,1),(100,1),(170,1)}
        75:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(49,1),(101,1),(103,1),(104,1),(106,1),(146,1)}
        76:{3,6,7}:{(47,1),(104,1),(141,1)}
        77:{1,2,5,6}:{(48,1),(49,1),(51,1),(105,1),(144,1)}
        78:{2,3,5,7}:{(49,1),(50,1),(104,1),(105,1),(106,1)}
        79:{2,3,6}:{(51,1),(52,1),(141,1)}
        80:{2,3,4,7}:{(52,1),(99,1),(106,1),(107,1),(142,1)}
        81:{1,3,5,7}:{(53,1),(55,1),(108,1),(109,1),(112,1)}
        82:{1,2,4,6,7}:{(53,1),(109,1),(110,1),(139,1),(150,1)}
        83:{1,4,5,6}:{(54,1),(55,1),(93,1),(108,1),(169,1)}
        84:{2,4,5,6}:{(54,1),(56,1),(58,1),(94,1),(148,1)}
        85:{1,2,4,5,7}:{(55,1),(56,1),(57,1),(59,1),(109,1),(111,1),(112,1),(114,1),(150,1)}
        86:{3,6,7}:{(57,1),(112,1),(141,1)}
        87:{1,2,5,6}:{(58,1),(59,1),(61,1),(113,1),(144,1)}
        88:{1,3,5,7}:{(59,1),(60,1),(112,1),(113,1),(114,1)}
        89:{1,3,6}:{(61,1),(62,1),(141,1)}
        90:{1,3,4,7}:{(62,1),(99,1),(114,1),(115,1),(142,1)}
        91:{2,3,4,5,7}:{(65,1),(71,1),(116,1),(117,1),(121,1),(128,1),(157,1),(161,1),(173,1)}
        92:{1,3,4,5,7}:{(64,1),(81,1),(118,1),(119,1),(121,1),(134,1),(155,1),(163,1),(172,1)}
        93:{1,4,6}:{(63,1),(64,1),(66,1)}
        94:{2,4,6}:{(63,1),(65,1),(67,1)}
        95:{1,2,4,5,7}:{(64,1),(65,1),(68,1),(120,1),(121,1),(123,1),(159,1)}
        96:{1,2,5,6}:{(66,1),(67,1),(68,1),(120,1)}
        97:{1,2,3,5,7}:{(68,1),(69,1),(78,1),(88,1),(121,1),(122,1),(123,1),(126,1),(132,1)}
        98:{1,2,3,6}:{(70,1),(79,1),(89,1),(124,1)}
        99:{1,2,4,7}:{(70,1),(80,1),(90,1),(124,1)}
       100:{2,3,5,6}:{(71,1),(74,1),(116,1),(125,1),(127,1),(173,1)}
       101:{1,2,5,7}:{(71,1),(72,1),(125,1),(126,1)}
       102:{1,3,6,7}:{(72,1),(76,1),(126,1),(154,1)}
       103:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(77,1),(120,1),(125,1),(127,1),(129,1),(159,1),(160,1)}
       104:{3,5,7}:{(75,1),(76,1),(127,1),(128,1)}
       105:{2,3,5,6}:{(77,1),(78,1),(79,1),(127,1),(129,1),(130,1)}
       106:{2,4,7}:{(78,1),(128,1),(129,1)}
       107:{2,3,4,6}:{(79,1),(80,1),(124,1),(129,1),(130,1),(158,1)}
       108:{1,3,5,6}:{(81,1),(83,1),(118,1),(131,1),(133,1),(172,1)}
       109:{1,2,5,7}:{(81,1),(82,1),(131,1),(132,1)}
       110:{2,3,6,7}:{(82,1),(86,1),(132,1),(156,1)}
       111:{1,2,4,5,6}:{(83,1),(84,1),(85,1),(87,1),(120,1),(131,1),(133,1),(135,1),(159,1),(162,1)}
       112:{3,5,7}:{(85,1),(86,1),(133,1),(134,1)}
       113:{1,3,5,6}:{(87,1),(88,1),(89,1),(133,1),(135,1),(136,1)}
       114:{1,4,7}:{(88,1),(134,1),(135,1)}
       115:{1,3,4,6}:{(89,1),(90,1),(124,1),(135,1),(136,1),(158,1)}
       116:{2,3,4,6}:{(91,1),(94,1),(100,1),(137,1),(141,1),(147,1)}
       117:{1,2,4,5,7}:{(91,1),(101,1),(137,1),(138,1),(146,1),(165,1),(169,1),(174,1)}
       118:{1,3,4,6}:{(92,1),(93,1),(108,1),(139,1),(141,1),(151,1)}
       119:{1,2,4,5,7}:{(92,1),(109,1),(139,1),(140,1),(150,1),(165,1),(170,1),(174,1)}
       120:{1,2,4,6}:{(93,1),(94,1),(95,1),(96,1),(141,1)}
       121:{3,5,7}:{(95,1),(141,1),(142,1),(168,1)}
       122:{1,2,3,5,6}:{(96,1),(97,1),(98,1),(105,1),(113,1),(141,1),(143,1),(144,1),(145,1),(149,1),(164,1),(168,1),(174,1)}
       123:{1,2,4,7}:{(97,1),(106,1),(114,1),(142,1),(143,1),(146,1),(150,1)}
       124:{1,2,4,6}:{(98,1),(99,1),(107,1),(115,1),(144,1)}
       125:{1,2,5,6}:{(100,1),(101,1),(137,1),(145,1),(174,1)}
       126:{1,3,5,7}:{(101,1),(102,1),(104,1),(145,1),(146,1)}
       127:{3,5,6}:{(103,1),(104,1),(141,1),(147,1),(168,1)}
       128:{3,4,7}:{(104,1),(106,1),(146,1),(147,1)}
       129:{2,4,6}:{(105,1),(106,1),(147,1),(148,1)}
       130:{2,3,5}:{(107,1),(144,1),(148,1),(168,1)}
       131:{1,2,5,6}:{(108,1),(109,1),(139,1),(149,1),(174,1)}
       132:{2,3,5,7}:{(109,1),(110,1),(112,1),(149,1),(150,1)}
       133:{3,5,6}:{(111,1),(112,1),(141,1),(151,1),(168,1)}
       134:{3,4,7}:{(112,1),(114,1),(150,1),(151,1)}
       135:{1,4,6}:{(113,1),(114,1),(151,1),(152,1)}
       136:{1,3,5}:{(115,1),(144,1),(152,1),(168,1)}
       137:{1,2,4,6}:{(116,1),(117,1),(125,1),(154,1),(160,1)}
       138:{1,3,5,7}:{(117,1),(121,1),(154,1),(155,1),(172,1)}
       139:{1,2,4,6}:{(118,1),(119,1),(131,1),(156,1),(162,1)}
       140:{2,3,5,7}:{(119,1),(121,1),(156,1),(157,1),(173,1)}
       141:{3,6}:{(120,1),(121,1)}
       142:{3,4,7}:{(121,1),(123,1),(158,1)}
       143:{1,2,4,6}:{(122,1),(123,1),(129,1),(135,1),(158,1),(159,1),(160,1),(162,1)}
       144:{1,2,5}:{(124,1),(130,1),(136,1)}
       145:{1,3,5,6}:{(125,1),(126,1),(127,1),(154,1),(160,1),(172,1)}
       146:{1,4,7}:{(126,1),(128,1),(160,1)}
       147:{3,4,6}:{(127,1),(128,1),(129,1),(160,1),(161,1)}
       148:{2,4,5}:{(129,1),(130,1),(161,1)}
       149:{2,3,5,6}:{(131,1),(132,1),(133,1),(156,1),(162,1),(173,1)}
       150:{2,4,7}:{(132,1),(134,1),(162,1)}
       151:{3,4,6}:{(133,1),(134,1),(135,1),(162,1),(163,1)}
       152:{1,4,5}:{(135,1),(136,1),(163,1)}
       153:{1,2,3,5,7}:{(138,1),(140,1),(164,1),(165,1),(174,1)}
       154:{1,3,6}:{(137,1),(138,1),(141,1)}
       155:{1,3,4,7}:{(138,1),(142,1),(146,1),(165,1),(166,1)}
       156:{2,3,6}:{(139,1),(140,1),(141,1)}
       157:{2,3,4,7}:{(140,1),(142,1),(150,1),(165,1),(167,1)}
       158:{3,4,6}:{(141,1),(142,1),(143,1),(168,1)}
       159:{1,2,4,5}:{(143,1),(144,1),(148,1),(152,1),(168,1),(169,1),(170,1),(174,1)}
       160:{1,4,6}:{(145,1),(146,1),(147,1),(169,1)}
       161:{3,4,5}:{(147,1),(148,1),(168,1),(169,1)}
       162:{2,4,6}:{(149,1),(150,1),(151,1),(170,1)}
       163:{3,4,5}:{(151,1),(152,1),(168,1),(170,1)}
       164:{1,2,3,6}:{(153,1),(154,1),(156,1),(171,1)}
       165:{1,2,4,7}:{(153,1),(155,1),(157,1),(171,1)}
       166:{1,3,4,6}:{(154,1),(155,1),(158,1),(160,1),(171,1),(172,1)}
       167:{2,3,4,6}:{(156,1),(157,1),(158,1),(162,1),(171,1),(173,1)}
       168:{3,5}:{(158,1),(159,1)}
       169:{1,4,5}:{(160,1),(161,1),(172,1)}
       170:{2,4,5}:{(162,1),(163,1),(173,1)}
       171:{1,2,4,6}:{(164,1),(165,1),(166,1),(167,1),(174,1)}
       172:{1,3,5}:{(166,1),(168,1),(169,1),(174,1)}
       173:{2,3,5}:{(167,1),(168,1),(170,1),(174,1)}
       174:{1,2,5}:{(171,1),(172,1),(173,1)}

2164 :  0:{1,3,4,5,7}:{(2,1),(3,1),(12,1),(62,1),(65,1)}
        1:{2,3,4,5,7}:{(2,1),(4,1),(13,1),(62,1),(65,1)}
        2:{1,2,4,5,7}:{(0,1),(1,1),(7,1),(8,1),(22,1),(49,1),(53,1)}
        3:{1,3,4,6}:{(0,1),(8,1),(9,1),(54,1)}
        4:{2,3,4,6}:{(1,1),(8,1),(10,1),(54,1)}
        5:{1,3,4,6,7}:{(3,1),(11,1),(12,1),(33,1),(59,1),(62,1)}
        6:{2,3,4,6,7}:{(4,1),(11,1),(13,1),(34,1),(59,1),(62,1)}
        7:{1,2,3,5,7}:{(2,1),(14,1),(15,1),(39,1)}
        8:{1,2,4,6}:{(2,1),(3,1),(4,1),(15,1),(16,1)}
        9:{1,3,5,6}:{(3,1),(12,1),(16,1),(17,1),(41,1)}
       10:{2,3,5,6}:{(4,1),(13,1),(16,1),(18,1),(41,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(8,1),(21,1),(22,1),(49,1)}
       12:{1,3,5,7}:{(5,1),(9,1),(22,1),(23,1),(50,1)}
       13:{2,3,5,7}:{(6,1),(10,1),(22,1),(24,1),(50,1)}
       14:{1,2,3,4,7}:{(7,1),(25,1),(49,1),(81,1)}
       15:{1,2,3,6}:{(7,1),(8,1)}
       16:{1,2,5,6}:{(8,1),(9,1),(10,1),(22,1)}
       17:{1,4,5,6}:{(9,1),(23,1),(28,1)}
       18:{2,4,5,6}:{(10,1),(24,1),(29,1)}
       19:{1,3,5,6,7}:{(12,1),(32,1),(33,1),(45,1),(59,1)}
       20:{2,3,5,6,7}:{(13,1),(32,1),(34,1),(44,1),(59,1)}
       21:{1,2,3,6,7}:{(11,1),(15,1),(35,1),(59,1),(77,1)}
       22:{1,2,5,7}:{(11,1),(12,1),(13,1),(16,1)}
       23:{1,4,5,7}:{(12,1),(17,1),(33,1),(37,1)}
       24:{2,4,5,7}:{(13,1),(18,1),(34,1),(38,1)}
       25:{1,2,3,4,6}:{(14,1),(15,1),(39,1),(40,1),(80,1),(83,1)}
       26:{1,2,3,5,6}:{(15,1),(16,1),(35,1),(39,1),(40,1),(41,1),(68,1),(80,1)}
       27:{1,2,4,5,6}:{(16,1),(17,1),(18,1),(36,1),(40,1),(41,1),(42,1),(43,1),(68,1)}
       28:{3,4,5,6}:{(17,1),(37,1),(41,1),(42,1)}
       29:{3,4,5,6}:{(18,1),(38,1),(41,1),(43,1)}
       30:{2,4,5,6,7}:{(34,1),(44,1)}
       31:{1,4,5,6,7}:{(33,1),(45,1)}
       32:{1,2,5,6,7}:{(19,1),(20,1),(22,1),(46,1),(57,1),(58,1)}
       33:{1,4,6,7}:{(19,1),(23,1),(47,1)}
       34:{2,4,6,7}:{(20,1),(24,1),(48,1)}
       35:{1,2,3,5,7}:{(21,1),(22,1),(26,1),(49,1),(50,1),(73,1),(81,1)}
       36:{1,2,4,5,7}:{(22,1),(23,1),(24,1),(27,1),(46,1),(49,1),(50,1),(51,1),(52,1),(73,1)}
       37:{3,4,5,7}:{(23,1),(28,1),(47,1),(50,1),(51,1)}
       38:{3,4,5,7}:{(24,1),(29,1),(48,1),(50,1),(52,1)}
       39:{1,2,3,5}:{(25,1),(53,1)}
       40:{1,2,4,6}:{(26,1),(49,1),(53,1),(54,1)}
       41:{3,5,6}:{(27,1),(50,1),(54,1)}
       42:{2,4,5,6}:{(28,1),(51,1),(56,1)}
       43:{1,4,5,6}:{(29,1),(52,1),(55,1)}
       44:{3,5,6,7}:{(30,1),(48,1),(57,1)}
       45:{3,5,6,7}:{(31,1),(47,1),(58,1)}
       46:{1,2,4,6,7}:{(32,1),(33,1),(34,1),(36,1),(59,1),(60,1),(61,1),(77,1)}
       47:{3,4,6,7}:{(33,1),(37,1),(45,1),(59,1),(60,1)}
       48:{3,4,6,7}:{(34,1),(38,1),(44,1),(59,1),(61,1)}
       49:{1,2,4,7}:{(35,1),(40,1),(62,1)}
       50:{3,5,7}:{(36,1),(41,1),(59,1),(62,1)}
       51:{2,4,5,7}:{(37,1),(42,1),(60,1),(64,1)}
       52:{1,4,5,7}:{(38,1),(43,1),(61,1),(63,1)}
       53:{1,2,4,5}:{(39,1),(40,1),(65,1)}
       54:{3,4,6}:{(40,1),(41,1),(62,1),(65,1)}
       55:{1,3,5,6}:{(41,1),(43,1),(63,1),(66,1),(68,1)}
       56:{2,3,5,6}:{(41,1),(42,1),(64,1),(67,1),(68,1)}
       57:{1,5,6,7}:{(44,1),(61,1)}
       58:{2,5,6,7}:{(45,1),(60,1)}
       59:{3,6,7}:{(46,1),(50,1)}
       60:{2,4,6,7}:{(47,1),(51,1),(58,1),(70,1)}
       61:{1,4,6,7}:{(48,1),(52,1),(57,1),(69,1)}
       62:{3,4,7}:{(49,1),(50,1),(54,1)}
       63:{1,3,5,7}:{(50,1),(52,1),(55,1),(69,1),(71,1),(73,1)}
       64:{2,3,5,7}:{(50,1),(51,1),(56,1),(70,1),(72,1),(73,1)}
       65:{3,4,5}:{(53,1),(54,1)}
       66:{1,3,4,6}:{(54,1),(55,1),(71,1),(74,1),(76,1)}
       67:{2,3,4,6}:{(54,1),(56,1),(72,1),(75,1),(76,1)}
       68:{1,2,5,6}:{(55,1),(56,1),(73,1),(76,1)}
       69:{1,3,6,7}:{(59,1),(61,1),(63,1),(77,1)}
       70:{2,3,6,7}:{(59,1),(60,1),(64,1),(77,1)}
       71:{1,3,4,7}:{(62,1),(63,1),(66,1),(78,1)}
       72:{2,3,4,7}:{(62,1),(64,1),(67,1),(78,1)}
       73:{1,2,5,7}:{(63,1),(64,1),(68,1),(77,1),(78,1)}
       74:{1,3,4,5}:{(65,1),(66,1),(79,1)}
       75:{2,3,4,5}:{(65,1),(67,1),(79,1)}
       76:{1,2,4,6}:{(66,1),(67,1),(68,1),(78,1),(79,1),(80,1)}
       77:{1,2,6,7}:{(69,1),(70,1),(73,1)}
       78:{1,2,4,7}:{(71,1),(72,1),(73,1),(76,1),(81,1)}
       79:{1,2,4,5}:{(74,1),(75,1),(76,1),(82,1)}
       80:{1,2,3,6}:{(76,1),(81,1),(82,1)}
       81:{1,2,3,7}:{(78,1),(80,1)}
       82:{1,2,3,5}:{(79,1),(80,1),(83,1)}
       83:{1,2,3,4}:{(82,1)}

2165 :   0:{2,3,4,5,7}:{(4,1),(5,1),(30,1),(42,1),(97,1),(147,1),(148,1),(155,1),(191,1),(193,1)}
         1:{1,3,4,5,7}:{(6,1),(7,1),(34,1),(38,1),(89,1),(149,1),(153,1),(154,1),(191,1),(195,1)}
         2:{1,4,5,6,7}:{(8,1),(43,1),(162,1)}
         3:{2,4,5,6,7}:{(9,1),(47,1),(159,1)}
         4:{2,3,4,6}:{(0,1),(11,1),(13,1),(117,1),(180,1),(203,1),(204,1)}
         5:{1,2,4,5,7}:{(0,1),(13,1),(14,1),(52,1),(57,1),(113,1),(118,1),(119,1)}
         6:{1,3,4,6}:{(1,1),(16,1),(18,1),(124,1),(176,1),(203,1),(205,1)}
         7:{1,2,4,5,7}:{(1,1),(18,1),(19,1),(52,1),(65,1),(113,1),(125,1),(126,1)}
         8:{3,5,6,7}:{(2,1),(20,1),(22,1),(184,1)}
         9:{3,5,6,7}:{(3,1),(23,1),(24,1),(182,1)}
        10:{3,4,5,6}:{(27,1),(28,1),(29,1),(85,1),(154,1),(196,1)}
        11:{2,3,5,6}:{(4,1),(29,1),(30,1),(31,1),(85,1),(97,1),(198,1)}
        12:{2,3,4,6,7}:{(4,1),(30,1),(32,1),(47,1),(102,1),(147,1),(160,1)}
        13:{1,2,4,6}:{(4,1),(5,1),(31,1),(33,1),(87,1)}
        14:{1,3,5,7}:{(5,1),(33,1),(34,1),(89,1),(191,1)}
        15:{3,4,5,6}:{(35,1),(36,1),(37,1),(93,1),(148,1),(194,1)}
        16:{1,3,5,6}:{(6,1),(36,1),(38,1),(39,1),(89,1),(93,1),(197,1)}
        17:{1,3,4,6,7}:{(6,1),(38,1),(40,1),(43,1),(99,1),(153,1),(157,1)}
        18:{1,2,4,6}:{(6,1),(7,1),(39,1),(41,1),(95,1)}
        19:{2,3,5,7}:{(7,1),(41,1),(42,1),(97,1),(191,1)}
        20:{3,4,6,7}:{(8,1),(35,1),(43,1),(44,1),(99,1),(194,1)}
        21:{1,3,5,6,7}:{(8,1),(38,1),(43,1),(45,1),(99,1),(150,1)}
        22:{2,5,6,7}:{(8,1),(44,1),(198,1)}
        23:{3,4,6,7}:{(9,1),(27,1),(46,1),(47,1),(102,1),(196,1)}
        24:{1,5,6,7}:{(9,1),(46,1),(197,1)}
        25:{2,3,5,6,7}:{(9,1),(30,1),(47,1),(48,1),(102,1),(156,1)}
        26:{1,2,3,5,7}:{(14,1),(19,1),(51,1),(52,1),(113,1)}
        27:{3,4,5,7}:{(10,1),(23,1),(54,1),(55,1),(116,1)}
        28:{1,4,5,6}:{(10,1),(53,1),(54,1),(178,1),(205,1)}
        29:{2,4,5,6}:{(10,1),(11,1),(55,1),(126,1),(180,1)}
        30:{2,3,5,7}:{(11,1),(12,1),(55,1),(57,1),(116,1),(183,1)}
        31:{1,2,5,6}:{(11,1),(13,1),(57,1),(58,1),(113,1)}
        32:{1,2,4,6,7}:{(12,1),(13,1),(57,1),(59,1),(118,1)}
        33:{1,3,6}:{(13,1),(14,1),(203,1)}
        34:{1,3,4,7}:{(14,1),(52,1),(60,1),(118,1),(169,1)}
        35:{3,4,5,7}:{(15,1),(20,1),(62,1),(63,1),(123,1)}
        36:{1,4,5,6}:{(15,1),(16,1),(62,1),(119,1),(176,1)}
        37:{2,4,5,6}:{(15,1),(61,1),(63,1),(174,1),(204,1)}
        38:{1,3,5,7}:{(16,1),(17,1),(62,1),(65,1),(123,1),(181,1)}
        39:{1,2,5,6}:{(16,1),(18,1),(65,1),(66,1),(113,1)}
        40:{1,2,4,6,7}:{(17,1),(18,1),(65,1),(67,1),(125,1)}
        41:{2,3,6}:{(18,1),(19,1),(203,1)}
        42:{2,3,4,7}:{(19,1),(52,1),(68,1),(125,1),(169,1)}
        43:{1,4,6,7}:{(20,1),(21,1),(62,1),(176,1)}
        44:{2,4,6,7}:{(20,1),(22,1),(63,1),(69,1),(204,1)}
        45:{1,2,5,6,7}:{(21,1),(22,1),(65,1),(70,1),(71,1),(172,1),(181,1)}
        46:{1,4,6,7}:{(23,1),(24,1),(54,1),(72,1),(205,1)}
        47:{2,4,6,7}:{(23,1),(25,1),(55,1),(180,1)}
        48:{1,2,5,6,7}:{(24,1),(25,1),(57,1),(73,1),(74,1),(172,1),(183,1)}
        49:{2,3,4,5}:{(75,1),(76,1),(140,1),(154,1),(190,1)}
        50:{1,3,4,5}:{(77,1),(78,1),(137,1),(148,1),(188,1)}
        51:{1,2,3,6}:{(26,1),(33,1),(41,1),(81,1)}
        52:{1,2,4,7}:{(26,1),(34,1),(42,1),(81,1)}
        53:{1,3,5,6}:{(28,1),(77,1),(82,1),(83,1),(85,1),(188,1),(207,1)}
        54:{1,4,5,7}:{(27,1),(28,1),(46,1),(82,1)}
        55:{2,4,5,7}:{(27,1),(29,1),(30,1),(47,1)}
        56:{1,2,4,5,6}:{(28,1),(29,1),(31,1),(83,1),(84,1),(85,1),(87,1),(143,1),(146,1),(162,1),(192,1),(198,1)}
        57:{1,2,5,7}:{(30,1),(31,1),(32,1),(86,1)}
        58:{1,3,5,6}:{(31,1),(33,1),(85,1),(86,1),(87,1),(89,1)}
        59:{1,3,6,7}:{(32,1),(33,1),(86,1),(102,1)}
        60:{1,3,4,6}:{(33,1),(34,1),(81,1),(87,1),(89,1),(141,1)}
        61:{2,3,5,6}:{(37,1),(75,1),(90,1),(91,1),(93,1),(190,1),(208,1)}
        62:{1,4,5,7}:{(35,1),(36,1),(38,1),(43,1)}
        63:{2,4,5,7}:{(35,1),(37,1),(44,1),(90,1)}
        64:{1,2,4,5,6}:{(36,1),(37,1),(39,1),(91,1),(92,1),(93,1),(95,1),(143,1),(152,1),(159,1),(192,1),(197,1)}
        65:{1,2,5,7}:{(38,1),(39,1),(40,1),(94,1)}
        66:{2,3,5,6}:{(39,1),(41,1),(93,1),(94,1),(95,1),(97,1)}
        67:{2,3,6,7}:{(40,1),(41,1),(94,1),(99,1)}
        68:{2,3,4,6}:{(41,1),(42,1),(81,1),(95,1),(97,1),(141,1)}
        69:{2,3,6,7}:{(44,1),(90,1),(98,1),(99,1),(208,1)}
        70:{1,2,4,6,7}:{(43,1),(44,1),(45,1),(92,1),(98,1),(99,1),(100,1),(157,1),(192,1)}
        71:{2,3,5,6,7}:{(45,1),(94,1),(99,1),(100,1),(156,1),(158,1)}
        72:{1,3,6,7}:{(46,1),(82,1),(101,1),(102,1),(207,1)}
        73:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(84,1),(101,1),(102,1),(103,1),(160,1),(192,1)}
        74:{1,3,5,6,7}:{(48,1),(86,1),(102,1),(103,1),(150,1),(161,1)}
        75:{2,3,4,6}:{(49,1),(61,1),(104,1),(105,1),(124,1)}
        76:{1,2,4,5}:{(49,1),(105,1),(106,1),(164,1),(178,1),(200,1)}
        77:{1,3,4,6}:{(50,1),(53,1),(107,1),(108,1),(117,1)}
        78:{1,2,4,5}:{(50,1),(108,1),(109,1),(164,1),(174,1),(200,1)}
        79:{1,2,3,5,6}:{(51,1),(58,1),(66,1),(110,1),(111,1),(113,1),(115,1),(122,1),(163,1),(170,1),(172,1),(200,1),(203,1),(209,1)}
        80:{1,2,3,6,7}:{(51,1),(59,1),(67,1),(110,1),(112,1),(128,1),(131,1),(203,1),(209,1)}
        81:{1,2,4,6}:{(51,1),(52,1),(60,1),(68,1),(113,1)}
        82:{1,3,5,7}:{(53,1),(54,1),(72,1),(107,1),(114,1),(116,1)}
        83:{1,2,5,6}:{(53,1),(108,1),(114,1),(115,1),(200,1),(209,1)}
        84:{1,2,4,5,7}:{(54,1),(55,1),(56,1),(57,1),(73,1),(114,1),(116,1),(118,1),(133,1),(173,1),(183,1)}
        85:{3,5,6}:{(56,1),(116,1),(117,1),(170,1),(203,1)}
        86:{1,3,5,7}:{(57,1),(58,1),(59,1),(116,1),(118,1)}
        87:{1,4,6}:{(58,1),(117,1),(118,1),(119,1)}
        88:{1,3,4,6,7}:{(59,1),(60,1),(112,1),(118,1),(120,1),(132,1),(169,1),(176,1),(203,1)}
        89:{1,3,5}:{(60,1),(113,1),(119,1),(170,1)}
        90:{2,3,5,7}:{(61,1),(63,1),(69,1),(104,1),(121,1),(123,1)}
        91:{1,2,5,6}:{(61,1),(105,1),(121,1),(122,1),(200,1),(209,1)}
        92:{1,2,4,5,7}:{(62,1),(63,1),(64,1),(65,1),(70,1),(121,1),(123,1),(125,1),(130,1),(177,1),(181,1)}
        93:{3,5,6}:{(64,1),(123,1),(124,1),(170,1),(203,1)}
        94:{2,3,5,7}:{(65,1),(66,1),(67,1),(123,1),(125,1)}
        95:{2,4,6}:{(66,1),(124,1),(125,1),(126,1)}
        96:{2,3,4,6,7}:{(67,1),(68,1),(112,1),(125,1),(127,1),(129,1),(169,1),(180,1),(203,1)}
        97:{2,3,5}:{(68,1),(113,1),(126,1),(170,1)}
        98:{1,2,6,7}:{(69,1),(121,1),(128,1),(209,1)}
        99:{3,6,7}:{(70,1),(123,1),(203,1)}
       100:{2,4,6,7}:{(71,1),(125,1),(129,1),(130,1),(180,1)}
       101:{1,2,6,7}:{(72,1),(114,1),(131,1),(209,1)}
       102:{3,6,7}:{(73,1),(116,1),(203,1)}
       103:{1,4,6,7}:{(74,1),(118,1),(132,1),(133,1),(176,1)}
       104:{2,3,4,7}:{(75,1),(90,1),(135,1),(153,1)}
       105:{1,2,4,6}:{(75,1),(76,1),(91,1),(135,1),(136,1),(152,1)}
       106:{1,3,5}:{(76,1),(136,1),(137,1)}
       107:{1,3,4,7}:{(77,1),(82,1),(138,1),(147,1)}
       108:{1,2,4,6}:{(77,1),(78,1),(83,1),(138,1),(139,1),(146,1)}
       109:{2,3,5}:{(78,1),(139,1),(140,1)}
       110:{1,2,3,5,7}:{(79,1),(80,1),(86,1),(94,1),(142,1),(144,1),(145,1),(151,1),(185,1),(191,1),(206,1)}
       111:{1,2,4,6}:{(79,1),(87,1),(95,1),(141,1),(142,1),(143,1),(146,1),(152,1)}
       112:{1,2,4,6,7}:{(80,1),(81,1),(88,1),(96,1),(142,1),(144,1),(157,1),(160,1),(192,1)}
       113:{1,2,5}:{(81,1),(89,1),(97,1)}
       114:{1,2,5,7}:{(82,1),(83,1),(101,1),(138,1),(145,1)}
       115:{2,3,5,6}:{(83,1),(85,1),(139,1),(145,1),(146,1),(190,1),(198,1),(208,1)}
       116:{3,5,7}:{(84,1),(85,1),(102,1),(147,1)}
       117:{3,4,6}:{(85,1),(87,1),(146,1),(147,1),(148,1)}
       118:{1,4,7}:{(86,1),(87,1),(147,1)}
       119:{1,4,5}:{(87,1),(89,1),(148,1)}
       120:{1,3,5,7}:{(88,1),(89,1),(144,1),(149,1),(150,1),(161,1),(191,1)}
       121:{1,2,5,7}:{(90,1),(91,1),(98,1),(135,1),(151,1)}
       122:{1,3,5,6}:{(91,1),(93,1),(136,1),(151,1),(152,1),(188,1),(197,1),(207,1)}
       123:{3,5,7}:{(92,1),(93,1),(99,1),(153,1)}
       124:{3,4,6}:{(93,1),(95,1),(152,1),(153,1),(154,1)}
       125:{2,4,7}:{(94,1),(95,1),(153,1)}
       126:{2,4,5}:{(95,1),(97,1),(154,1)}
       127:{2,3,5,7}:{(96,1),(97,1),(144,1),(155,1),(156,1),(158,1),(191,1)}
       128:{1,3,6,7}:{(98,1),(99,1),(151,1),(157,1),(207,1)}
       129:{3,4,6,7}:{(99,1),(100,1),(153,1),(157,1),(158,1),(196,1)}
       130:{2,4,5,7}:{(100,1),(158,1),(159,1)}
       131:{2,3,6,7}:{(101,1),(102,1),(145,1),(160,1),(208,1)}
       132:{3,4,6,7}:{(102,1),(103,1),(147,1),(160,1),(161,1),(194,1)}
       133:{1,4,5,7}:{(103,1),(161,1),(162,1)}
       134:{1,2,3,5}:{(106,1),(109,1),(163,1),(164,1),(200,1)}
       135:{1,2,4,7}:{(104,1),(105,1),(121,1),(165,1),(177,1)}
       136:{1,3,6}:{(105,1),(106,1),(165,1)}
       137:{1,3,4}:{(106,1),(164,1)}
       138:{1,2,4,7}:{(107,1),(108,1),(114,1),(167,1),(173,1)}
       139:{2,3,6}:{(108,1),(109,1),(167,1)}
       140:{2,3,4}:{(109,1),(164,1)}
       141:{3,4,6}:{(111,1),(169,1),(170,1),(203,1)}
       142:{1,2,4,7}:{(110,1),(111,1),(118,1),(125,1),(169,1),(173,1),(177,1)}
       143:{1,2,4,5}:{(111,1),(113,1),(119,1),(126,1),(170,1),(174,1),(178,1),(200,1)}
       144:{1,2,5,7}:{(112,1),(113,1),(120,1),(127,1),(172,1),(181,1),(183,1)}
       145:{2,3,5,7}:{(114,1),(115,1),(116,1),(131,1),(167,1),(173,1),(183,1)}
       146:{2,4,6}:{(115,1),(117,1),(173,1),(174,1)}
       147:{3,4,7}:{(116,1),(117,1),(118,1),(173,1)}
       148:{3,4,5}:{(117,1),(119,1),(170,1),(174,1)}
       149:{1,4,5,7}:{(118,1),(119,1),(120,1),(175,1),(176,1)}
       150:{1,3,5,6}:{(120,1),(172,1),(176,1),(184,1),(203,1)}
       151:{1,3,5,7}:{(121,1),(122,1),(123,1),(128,1),(165,1),(177,1),(181,1)}
       152:{1,4,6}:{(122,1),(124,1),(177,1),(178,1)}
       153:{3,4,7}:{(123,1),(124,1),(125,1),(177,1)}
       154:{3,4,5}:{(124,1),(126,1),(170,1),(178,1)}
       155:{2,4,5,7}:{(125,1),(126,1),(127,1),(179,1),(180,1)}
       156:{2,3,5,6}:{(127,1),(172,1),(180,1),(182,1),(203,1)}
       157:{1,4,6,7}:{(128,1),(129,1),(177,1),(181,1),(205,1)}
       158:{3,5,7}:{(129,1),(130,1),(181,1),(182,1)}
       159:{2,4,5,6}:{(130,1),(180,1),(182,1)}
       160:{2,4,6,7}:{(131,1),(132,1),(173,1),(183,1),(204,1)}
       161:{3,5,7}:{(132,1),(133,1),(183,1),(184,1)}
       162:{1,4,5,6}:{(133,1),(176,1),(184,1)}
       163:{1,2,3,6}:{(134,1),(136,1),(139,1),(185,1),(186,1)}
       164:{1,2,4}:{(134,1),(137,1),(140,1)}
       165:{1,3,7}:{(135,1),(136,1)}
       166:{1,3,4,6}:{(136,1),(137,1),(141,1),(152,1),(186,1),(187,1),(188,1),(207,1)}
       167:{2,3,7}:{(138,1),(139,1)}
       168:{2,3,4,6}:{(139,1),(140,1),(141,1),(146,1),(186,1),(189,1),(190,1),(208,1)}
       169:{3,4,7}:{(141,1),(142,1),(191,1)}
       170:{3,5}:{(141,1),(143,1)}
       171:{1,2,4,5,7}:{(142,1),(143,1),(144,1),(149,1),(155,1),(191,1),(192,1),(193,1),(195,1),(206,1)}
       172:{1,2,5,6}:{(144,1),(150,1),(156,1),(192,1),(197,1),(198,1)}
       173:{2,4,7}:{(145,1),(146,1),(147,1)}
       174:{2,4,5}:{(146,1),(148,1),(190,1)}
       175:{3,4,5,7}:{(147,1),(148,1),(149,1),(161,1),(191,1),(193,1),(194,1)}
       176:{1,4,6}:{(149,1),(150,1),(194,1)}
       177:{1,4,7}:{(151,1),(152,1),(153,1)}
       178:{1,4,5}:{(152,1),(154,1),(188,1)}
       179:{3,4,5,7}:{(153,1),(154,1),(155,1),(158,1),(191,1),(195,1),(196,1)}
       180:{2,4,6}:{(155,1),(156,1),(196,1)}
       181:{1,5,7}:{(157,1),(158,1),(197,1)}
       182:{3,5,6}:{(158,1),(159,1),(196,1),(197,1)}
       183:{2,5,7}:{(160,1),(161,1),(198,1)}
       184:{3,5,6}:{(161,1),(162,1),(194,1),(198,1)}
       185:{1,2,3,7}:{(163,1),(165,1),(167,1),(199,1)}
       186:{1,2,4,6}:{(163,1),(164,1),(166,1),(168,1),(199,1),(200,1),(209,1)}
       187:{1,3,4,7}:{(165,1),(166,1),(169,1),(177,1),(199,1),(201,1)}
       188:{1,3,5}:{(166,1),(170,1),(178,1),(200,1)}
       189:{2,3,4,7}:{(167,1),(168,1),(169,1),(173,1),(199,1),(202,1)}
       190:{2,3,5}:{(168,1),(170,1),(174,1),(200,1)}
       191:{3,5,7}:{(169,1),(170,1),(171,1),(203,1)}
       192:{1,2,4,6}:{(171,1),(172,1),(176,1),(180,1),(203,1),(204,1),(205,1),(209,1)}
       193:{2,4,5,7}:{(173,1),(174,1),(175,1),(183,1),(202,1),(204,1)}
       194:{3,4,6}:{(175,1),(176,1),(184,1),(203,1),(204,1)}
       195:{1,4,5,7}:{(177,1),(178,1),(179,1),(181,1),(201,1),(205,1)}
       196:{3,4,6}:{(179,1),(180,1),(182,1),(203,1),(205,1)}
       197:{1,5,6}:{(181,1),(182,1),(205,1)}
       198:{2,5,6}:{(183,1),(184,1),(204,1)}
       199:{1,2,4,7}:{(185,1),(186,1),(187,1),(189,1),(206,1)}
       200:{1,2,5}:{(186,1),(188,1),(190,1)}
       201:{1,3,5,7}:{(187,1),(188,1),(191,1),(195,1),(206,1),(207,1)}
       202:{2,3,5,7}:{(189,1),(190,1),(191,1),(193,1),(206,1),(208,1)}
       203:{3,6}:{(191,1),(192,1)}
       204:{2,4,6}:{(193,1),(194,1),(198,1),(208,1)}
       205:{1,4,6}:{(195,1),(196,1),(197,1),(207,1)}
       206:{1,2,5,7}:{(199,1),(200,1),(201,1),(202,1),(209,1)}
       207:{1,3,6}:{(201,1),(203,1),(205,1),(209,1)}
       208:{2,3,6}:{(202,1),(203,1),(204,1),(209,1)}
       209:{1,2,6}:{(206,1),(207,1),(208,1)}

2166 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(18,1),(37,1),(38,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(24,1),(47,1)}
        2:{1,2,4,5,7}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,5,6}:{(1,1),(5,1),(12,1),(34,1),(37,1)}
        4:{3,4,5,7}:{(2,1),(10,1),(24,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(10,1)}
        6:{1,2,3,5,6,7}:{(3,1),(11,1),(24,1),(43,1),(44,1),(47,1),(48,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(29,1),(30,1),(34,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(16,1),(35,1),(51,1),(62,1)}
        9:{1,3,4,5,7}:{(4,1),(15,1),(17,1),(36,1),(51,1),(62,1)}
       10:{3,4,6}:{(4,1),(5,1),(12,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(13,1),(18,1),(49,1),(50,1)}
       12:{3,5,6}:{(7,1),(10,1),(24,1)}
       13:{1,2,4,5,7}:{(7,1),(11,1),(24,1),(41,1),(42,1),(47,1)}
       14:{1,2,3,4,7}:{(21,1),(25,1),(60,1)}
       15:{1,2,4,5,7}:{(8,1),(9,1),(25,1),(26,1),(45,1),(47,1),(60,1)}
       16:{2,3,4,6}:{(8,1),(10,1),(22,1),(26,1),(58,1)}
       17:{1,3,4,6}:{(9,1),(10,1),(23,1),(26,1),(58,1)}
       18:{3,4,6,7}:{(10,1),(11,1),(24,1)}
       19:{3,4,5,6}:{(12,1),(29,1),(30,1),(31,1),(52,1)}
       20:{1,2,4,5,6,7}:{(13,1),(32,1),(49,1),(50,1),(54,1)}
       21:{1,2,3,4,6}:{(14,1),(33,1),(37,1),(55,1)}
       22:{2,3,5,6}:{(12,1),(16,1),(29,1),(34,1),(35,1),(52,1)}
       23:{1,3,5,6}:{(12,1),(17,1),(30,1),(34,1),(36,1),(52,1)}
       24:{3,5,7}:{(12,1),(13,1),(18,1)}
       25:{1,2,3,5,7}:{(14,1),(15,1),(33,1),(37,1)}
       26:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(37,1)}
       27:{2,3,4,6,7}:{(16,1),(18,1),(35,1),(38,1),(49,1),(61,1),(62,1)}
       28:{1,3,4,6,7}:{(17,1),(18,1),(36,1),(38,1),(50,1),(61,1),(62,1)}
       29:{2,4,5,6}:{(19,1),(22,1),(41,1)}
       30:{1,4,5,6}:{(19,1),(23,1),(42,1)}
       31:{3,4,5,7}:{(19,1),(24,1),(39,1),(41,1),(42,1),(59,1)}
       32:{3,5,6,7}:{(20,1),(24,1),(39,1)}
       33:{1,2,3,5}:{(21,1),(45,1)}
       34:{1,2,5,6}:{(22,1),(23,1),(26,1),(47,1)}
       35:{2,3,5,7}:{(22,1),(24,1),(27,1),(41,1),(47,1),(59,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(28,1),(42,1),(47,1),(59,1)}
       37:{1,2,3,6}:{(25,1),(26,1)}
       38:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(47,1),(48,1),(60,1)}
       39:{3,4,6,7}:{(31,1),(32,1),(49,1),(50,1),(61,1)}
       40:{1,2,4,5,6}:{(29,1),(30,1),(34,1),(52,1),(53,1),(55,1)}
       41:{2,4,5,7}:{(29,1),(31,1),(35,1),(49,1)}
       42:{1,4,5,7}:{(30,1),(31,1),(36,1),(50,1)}
       43:{2,3,5,6,7}:{(32,1),(35,1),(49,1),(54,1),(61,1)}
       44:{1,3,5,6,7}:{(32,1),(36,1),(50,1),(54,1),(61,1)}
       45:{1,2,4,5}:{(33,1),(51,1),(55,1)}
       46:{1,2,3,5,6}:{(33,1),(34,1),(37,1),(52,1),(55,1),(56,1)}
       47:{1,2,5,7}:{(34,1),(35,1),(36,1),(38,1)}
       48:{1,2,3,6,7}:{(37,1),(38,1),(56,1),(61,1)}
       49:{2,4,6,7}:{(39,1),(41,1),(43,1)}
       50:{1,4,6,7}:{(39,1),(42,1),(44,1)}
       51:{3,4,5}:{(45,1),(58,1)}
       52:{3,5,6}:{(40,1),(58,1),(59,1)}
       53:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(47,1),(57,1),(59,1),(60,1)}
       54:{1,2,5,6,7}:{(43,1),(44,1),(47,1),(57,1)}
       55:{1,2,4,6}:{(45,1),(46,1),(58,1),(60,1)}
       56:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(59,1),(60,1)}
       57:{1,2,4,6,7}:{(49,1),(50,1),(53,1),(54,1),(61,1)}
       58:{3,4,6}:{(51,1),(52,1),(55,1),(62,1)}
       59:{3,5,7}:{(52,1),(53,1),(61,1),(62,1)}
       60:{1,2,4,7}:{(55,1),(56,1),(62,1)}
       61:{3,6,7}:{(57,1),(59,1)}
       62:{3,4,7}:{(58,1),(59,1),(60,1)}

2167 :   0:{1,3,4,5,6}:{(2,1),(3,1),(18,1),(76,1),(103,1)}
         1:{2,3,4,5,6}:{(4,1),(5,1),(14,1),(71,1),(107,1)}
         2:{1,2,4,5,6}:{(0,1),(6,1),(7,1),(22,1),(81,1),(86,1)}
         3:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(32,1),(62,1),(87,1)}
         4:{1,2,4,5,6}:{(1,1),(9,1),(10,1),(22,1),(81,1),(91,1)}
         5:{2,3,4,5,7}:{(1,1),(10,1),(11,1),(27,1),(57,1),(92,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(15,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(15,1),(16,1),(37,1),(67,1),(72,1)}
         8:{1,3,4,6,7}:{(3,1),(16,1),(17,1),(73,1)}
         9:{1,3,5,6}:{(4,1),(18,1),(19,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(19,1),(20,1),(37,1),(67,1),(77,1)}
        11:{2,3,4,6,7}:{(5,1),(20,1),(21,1),(78,1)}
        12:{1,2,3,5,6}:{(6,1),(9,1),(22,1),(23,1),(24,1),(54,1),(81,1)}
        13:{1,2,3,4,6}:{(22,1),(24,1),(25,1),(54,1)}
        14:{2,3,4,6}:{(6,1),(22,1),(26,1),(27,1)}
        15:{2,3,5,7}:{(6,1),(7,1),(27,1),(28,1)}
        16:{1,2,4,6,7}:{(7,1),(8,1),(28,1),(29,1),(58,1)}
        17:{1,3,5,6,7}:{(8,1),(29,1),(30,1),(59,1),(62,1)}
        18:{1,3,4,6}:{(9,1),(22,1),(31,1),(32,1)}
        19:{1,3,5,7}:{(9,1),(10,1),(32,1),(33,1)}
        20:{1,2,4,6,7}:{(10,1),(11,1),(33,1),(34,1),(63,1)}
        21:{2,3,5,6,7}:{(11,1),(34,1),(35,1),(57,1),(64,1)}
        22:{1,2,4,6}:{(12,1),(14,1),(18,1),(36,1),(37,1)}
        23:{1,2,3,5,7}:{(12,1),(15,1),(19,1),(37,1),(38,1),(67,1)}
        24:{1,2,3,5}:{(13,1),(36,1)}
        25:{1,2,3,4,7}:{(13,1),(37,1),(39,1)}
        26:{2,3,4,5}:{(14,1),(36,1)}
        27:{2,3,4,7}:{(14,1),(15,1),(37,1)}
        28:{2,3,6,7}:{(15,1),(16,1)}
        29:{1,2,5,6,7}:{(16,1),(17,1),(43,1),(67,1)}
        30:{1,4,5,6,7}:{(17,1),(45,1),(77,1)}
        31:{1,3,4,5}:{(18,1),(36,1)}
        32:{1,3,4,7}:{(18,1),(19,1),(37,1)}
        33:{1,3,6,7}:{(19,1),(20,1)}
        34:{1,2,5,6,7}:{(20,1),(21,1),(48,1),(67,1)}
        35:{2,4,5,6,7}:{(21,1),(50,1),(72,1)}
        36:{1,2,4,5}:{(22,1),(24,1),(26,1),(31,1)}
        37:{1,2,4,7}:{(22,1),(23,1),(27,1),(32,1)}
        38:{1,2,3,6,7}:{(23,1),(28,1),(33,1),(52,1),(54,1)}
        39:{1,2,3,5,7}:{(24,1),(25,1),(51,1),(54,1)}
        40:{1,2,3,4,6,7}:{(25,1),(52,1),(54,1),(55,1),(83,1),(84,1),(114,1),(138,1),(139,1)}
        41:{2,3,4,5,7}:{(26,1),(27,1),(51,1),(56,1),(57,1),(85,1)}
        42:{2,3,4,6,7}:{(27,1),(28,1),(52,1),(56,1),(57,1),(58,1),(83,1)}
        43:{2,3,5,6,7}:{(28,1),(29,1),(57,1),(58,1),(59,1)}
        44:{1,2,4,5,6,7}:{(29,1),(30,1),(58,1),(59,1),(60,1),(82,1),(88,1),(90,1)}
        45:{3,4,5,6,7}:{(30,1),(59,1),(60,1),(92,1)}
        46:{1,3,4,5,7}:{(31,1),(32,1),(51,1),(61,1),(62,1),(85,1)}
        47:{1,3,4,6,7}:{(32,1),(33,1),(52,1),(61,1),(62,1),(63,1),(83,1)}
        48:{1,3,5,6,7}:{(33,1),(34,1),(62,1),(63,1),(64,1)}
        49:{1,2,4,5,6,7}:{(34,1),(35,1),(63,1),(64,1),(65,1),(82,1),(94,1),(95,1)}
        50:{3,4,5,6,7}:{(35,1),(64,1),(65,1),(87,1)}
        51:{1,2,4,5,7}:{(36,1),(37,1),(39,1),(41,1),(46,1),(66,1),(67,1)}
        52:{1,2,4,6,7}:{(37,1),(38,1),(42,1),(47,1),(66,1),(67,1)}
        53:{1,2,3,5,6,7}:{(38,1),(43,1),(48,1),(67,1),(68,1),(69,1),(74,1),(80,1),(97,1),(128,1),(129,1)}
        54:{1,2,3,6}:{(39,1),(66,1)}
        55:{1,2,3,5,7}:{(40,1),(67,1),(69,1),(70,1),(97,1),(128,1)}
        56:{2,3,4,6}:{(41,1),(66,1),(71,1),(100,1)}
        57:{2,3,5,7}:{(42,1),(67,1),(71,1),(72,1),(97,1)}
        58:{2,4,6,7}:{(43,1),(72,1),(73,1)}
        59:{3,5,6,7}:{(44,1),(73,1),(97,1)}
        60:{2,4,5,6,7}:{(45,1),(75,1),(109,1)}
        61:{1,3,4,6}:{(46,1),(66,1),(76,1),(100,1)}
        62:{1,3,5,7}:{(47,1),(67,1),(76,1),(77,1),(97,1)}
        63:{1,4,6,7}:{(48,1),(77,1),(78,1)}
        64:{3,5,6,7}:{(49,1),(78,1),(97,1)}
        65:{1,4,5,6,7}:{(50,1),(79,1),(104,1)}
        66:{1,2,4,6}:{(51,1),(54,1),(56,1),(61,1),(81,1)}
        67:{1,2,5,7}:{(52,1),(57,1),(62,1),(81,1)}
        68:{1,2,4,6,7}:{(53,1),(58,1),(63,1),(82,1),(83,1),(84,1),(88,1),(94,1)}
        69:{1,2,3,5,6}:{(54,1),(55,1),(81,1),(84,1),(111,1),(136,1),(138,1)}
        70:{1,2,4,5,7}:{(55,1),(84,1),(85,1)}
        71:{2,3,5,6}:{(56,1),(57,1),(81,1),(86,1),(111,1)}
        72:{2,4,5,7}:{(57,1),(58,1),(86,1),(87,1)}
        73:{3,4,6,7}:{(58,1),(59,1),(87,1),(88,1)}
        74:{1,3,5,6,7}:{(59,1),(88,1),(90,1),(112,1),(121,1)}
        75:{2,3,5,6,7}:{(59,1),(60,1),(89,1),(90,1),(113,1)}
        76:{1,3,5,6}:{(61,1),(62,1),(81,1),(91,1),(111,1)}
        77:{1,4,5,7}:{(62,1),(63,1),(91,1),(92,1)}
        78:{3,4,6,7}:{(63,1),(64,1),(92,1),(94,1)}
        79:{1,3,5,6,7}:{(64,1),(65,1),(93,1),(95,1),(112,1)}
        80:{2,3,5,6,7}:{(64,1),(94,1),(95,1),(113,1),(125,1)}
        81:{1,2,5,6}:{(66,1),(67,1),(71,1),(76,1)}
        82:{1,2,4,5,7}:{(67,1),(68,1),(72,1),(77,1),(96,1),(97,1),(104,1),(109,1),(128,1)}
        83:{3,4,6,7}:{(68,1),(97,1),(100,1)}
        84:{1,2,4,6}:{(69,1),(70,1),(100,1)}
        85:{3,4,5,7}:{(70,1),(97,1),(100,1)}
        86:{2,4,5,6}:{(71,1),(72,1),(103,1)}
        87:{3,4,5,7}:{(72,1),(73,1),(97,1),(103,1),(104,1)}
        88:{1,4,6,7}:{(73,1),(74,1),(104,1)}
        89:{2,3,4,6,7}:{(73,1),(75,1),(105,1),(106,1)}
        90:{1,2,5,6,7}:{(74,1),(75,1),(106,1),(128,1)}
        91:{1,4,5,6}:{(76,1),(77,1),(107,1)}
        92:{3,4,5,7}:{(77,1),(78,1),(97,1),(107,1),(109,1)}
        93:{1,3,4,6,7}:{(78,1),(79,1),(108,1),(110,1)}
        94:{2,4,6,7}:{(78,1),(80,1),(109,1)}
        95:{1,2,5,6,7}:{(79,1),(80,1),(110,1),(128,1)}
        96:{1,2,4,5,6}:{(81,1),(82,1),(84,1),(86,1),(91,1),(111,1),(118,1),(123,1),(136,1)}
        97:{3,5,7}:{(82,1),(83,1),(111,1)}
        98:{1,3,4,6,7}:{(83,1),(88,1),(112,1),(114,1),(115,1),(121,1),(141,1)}
        99:{2,3,4,6,7}:{(83,1),(94,1),(113,1),(114,1),(116,1),(125,1),(143,1)}
       100:{3,4,6}:{(84,1),(85,1),(111,1)}
       101:{1,3,4,5,7}:{(85,1),(112,1),(115,1),(117,1),(141,1),(151,1)}
       102:{2,3,4,5,7}:{(85,1),(113,1),(116,1),(117,1),(143,1),(152,1)}
       103:{3,4,5,6}:{(86,1),(87,1),(111,1),(118,1)}
       104:{1,4,5,7}:{(87,1),(88,1),(112,1),(118,1)}
       105:{2,3,4,5,7}:{(87,1),(89,1),(113,1),(119,1),(120,1),(143,1)}
       106:{1,2,4,6,7}:{(88,1),(89,1),(90,1),(120,1),(121,1)}
       107:{3,4,5,6}:{(91,1),(92,1),(111,1),(123,1)}
       108:{1,3,4,5,7}:{(92,1),(93,1),(112,1),(122,1),(124,1),(141,1)}
       109:{2,4,5,7}:{(92,1),(94,1),(113,1),(123,1)}
       110:{1,2,4,6,7}:{(93,1),(94,1),(95,1),(124,1),(125,1)}
       111:{3,5,6}:{(96,1),(97,1),(100,1)}
       112:{1,3,5,7}:{(97,1),(98,1),(104,1),(126,1),(128,1)}
       113:{2,3,5,7}:{(97,1),(99,1),(109,1),(127,1),(128,1)}
       114:{1,2,4,6,7}:{(98,1),(99,1),(128,1),(129,1),(130,1),(145,1)}
       115:{1,3,4,6}:{(100,1),(101,1),(126,1),(130,1)}
       116:{2,3,4,6}:{(100,1),(102,1),(127,1),(130,1)}
       117:{1,2,4,5,7}:{(101,1),(102,1),(128,1),(130,1),(131,1),(145,1),(153,1)}
       118:{1,4,5,6}:{(103,1),(104,1),(126,1)}
       119:{2,3,4,5,6}:{(103,1),(105,1),(127,1),(132,1),(148,1)}
       120:{1,2,4,5,7}:{(104,1),(105,1),(106,1),(128,1),(132,1),(133,1),(145,1)}
       121:{1,3,6,7}:{(106,1),(133,1)}
       122:{1,3,4,5,6}:{(107,1),(108,1),(126,1),(134,1),(147,1)}
       123:{2,4,5,6}:{(107,1),(109,1),(127,1)}
       124:{1,2,4,5,7}:{(108,1),(109,1),(110,1),(128,1),(134,1),(135,1),(145,1)}
       125:{2,3,6,7}:{(110,1),(135,1)}
       126:{1,3,5,6}:{(111,1),(112,1),(115,1),(118,1),(136,1)}
       127:{2,3,5,6}:{(111,1),(113,1),(116,1),(123,1),(136,1)}
       128:{1,2,5,7}:{(112,1),(113,1),(114,1),(136,1)}
       129:{1,2,3,6,7}:{(114,1),(121,1),(125,1),(137,1),(138,1)}
       130:{1,2,4,6}:{(115,1),(116,1),(117,1),(136,1),(138,1)}
       131:{1,2,3,5,7}:{(117,1),(138,1),(139,1),(150,1)}
       132:{1,2,4,5,6}:{(118,1),(119,1),(120,1),(136,1),(140,1),(149,1)}
       133:{1,3,5,7}:{(120,1),(121,1),(140,1),(141,1)}
       134:{1,2,4,5,6}:{(122,1),(123,1),(124,1),(136,1),(142,1),(149,1)}
       135:{2,3,5,7}:{(124,1),(125,1),(142,1),(143,1)}
       136:{1,2,5,6}:{(126,1),(127,1),(128,1),(130,1)}
       137:{1,2,3,5,7}:{(128,1),(129,1),(133,1),(135,1),(144,1),(145,1)}
       138:{1,2,3,6}:{(130,1),(131,1)}
       139:{1,2,3,4,7}:{(131,1),(145,1),(146,1)}
       140:{1,3,5,6}:{(132,1),(133,1),(147,1)}
       141:{1,3,4,7}:{(133,1),(145,1),(147,1)}
       142:{2,3,5,6}:{(134,1),(135,1),(148,1)}
       143:{2,3,4,7}:{(135,1),(145,1),(148,1)}
       144:{1,2,3,5,6}:{(136,1),(137,1),(138,1),(140,1),(142,1),(149,1),(150,1)}
       145:{1,2,4,7}:{(137,1),(141,1),(143,1),(149,1)}
       146:{1,2,3,4,6}:{(138,1),(139,1),(149,1),(150,1)}
       147:{1,3,4,6}:{(140,1),(141,1),(149,1),(151,1)}
       148:{2,3,4,6}:{(142,1),(143,1),(149,1),(152,1)}
       149:{1,2,4,6}:{(144,1),(145,1),(147,1),(148,1),(153,1)}
       150:{1,2,3,5}:{(146,1),(153,1)}
       151:{1,3,4,5}:{(147,1),(153,1)}
       152:{2,3,4,5}:{(148,1),(153,1)}
       153:{1,2,4,5}:{(149,1),(150,1),(151,1),(152,1)}

2168 :   0:{1,3,4,5,7}:{(12,1),(13,1),(15,1),(58,1),(72,1),(121,1),(123,1),(129,1),(133,1),(171,1)}
         1:{1,3,4,6,7}:{(13,1),(14,1),(15,1),(17,1),(69,1),(71,1),(129,1)}
         2:{1,3,5,6,7}:{(15,1),(16,1),(17,1),(19,1),(54,1),(69,1)}
         3:{2,3,5,6,7}:{(16,1),(18,1),(55,1),(65,1),(68,1),(69,1)}
         4:{1,4,5,6,7}:{(17,1),(19,1),(75,1)}
         5:{2,3,4,5,7}:{(20,1),(21,1),(23,1),(59,1),(60,1),(121,1),(122,1),(124,1),(138,1),(176,1)}
         6:{2,3,4,6,7}:{(21,1),(22,1),(23,1),(26,1),(81,1),(82,1),(138,1)}
         7:{1,3,5,6,7}:{(24,1),(25,1),(54,1),(77,1),(79,1),(81,1)}
         8:{2,3,5,6,7}:{(23,1),(24,1),(26,1),(27,1),(55,1),(81,1)}
         9:{2,4,5,6,7}:{(26,1),(27,1),(64,1)}
        10:{1,3,4,6,7}:{(28,1),(29,1),(45,1),(50,1),(87,1),(104,1),(109,1),(144,1),(147,1)}
        11:{2,3,4,6,7}:{(28,1),(30,1),(34,1),(40,1),(88,1),(93,1),(98,1),(144,1),(147,1)}
        12:{1,2,4,5,7}:{(0,1),(31,1),(32,1),(35,1),(84,1),(98,1),(142,1),(150,1)}
        13:{1,3,4,6}:{(0,1),(32,1),(33,1),(87,1),(144,1),(146,1),(151,1)}
        14:{1,2,4,6,7}:{(1,1),(32,1),(34,1),(35,1),(98,1)}
        15:{1,3,5,7}:{(1,1),(33,1),(35,1),(36,1),(99,1),(101,1)}
        16:{1,2,5,6,7}:{(2,1),(3,1),(35,1),(38,1),(41,1),(86,1),(101,1)}
        17:{1,4,6,7}:{(2,1),(36,1),(39,1),(87,1)}
        18:{2,4,6,7}:{(3,1),(37,1),(40,1),(88,1),(98,1)}
        19:{3,5,6,7}:{(4,1),(39,1),(41,1),(107,1)}
        20:{1,2,4,5,7}:{(5,1),(42,1),(43,1),(46,1),(84,1),(109,1),(142,1),(157,1)}
        21:{2,3,4,6}:{(5,1),(43,1),(44,1),(88,1),(144,1),(145,1),(158,1)}
        22:{1,2,4,6,7}:{(6,1),(43,1),(45,1),(46,1),(109,1)}
        23:{2,3,5,7}:{(6,1),(44,1),(46,1),(48,1),(110,1),(111,1)}
        24:{1,2,5,6,7}:{(7,1),(8,1),(46,1),(49,1),(52,1),(86,1),(111,1)}
        25:{1,4,6,7}:{(7,1),(47,1),(50,1),(87,1),(109,1)}
        26:{2,4,6,7}:{(8,1),(48,1),(51,1),(88,1)}
        27:{3,5,6,7}:{(9,1),(51,1),(52,1),(97,1)}
        28:{1,2,4,6,7}:{(10,1),(11,1),(56,1),(57,1),(71,1),(82,1),(115,1),(117,1),(120,1)}
        29:{1,3,5,7}:{(10,1),(54,1),(57,1),(58,1),(79,1),(121,1),(133,1)}
        30:{2,3,5,7}:{(11,1),(55,1),(57,1),(59,1),(68,1),(121,1),(124,1)}
        31:{2,3,5,7}:{(12,1),(60,1),(61,1),(121,1),(124,1)}
        32:{1,2,4,6}:{(12,1),(13,1),(61,1),(62,1),(125,1)}
        33:{1,3,5,6}:{(13,1),(15,1),(62,1),(63,1),(126,1),(128,1),(133,1)}
        34:{2,3,6,7}:{(14,1),(61,1),(65,1),(69,1)}
        35:{1,2,5,7}:{(14,1),(15,1),(62,1),(65,1)}
        36:{1,4,5,7}:{(15,1),(17,1),(63,1),(67,1)}
        37:{2,4,5,7}:{(18,1),(64,1),(68,1)}
        38:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(66,1),(69,1),(70,1),(71,1),(117,1),(132,1)}
        39:{3,4,6,7}:{(17,1),(19,1),(67,1),(69,1),(70,1),(118,1)}
        40:{3,4,6,7}:{(18,1),(68,1),(69,1),(71,1),(119,1),(129,1)}
        41:{2,5,6,7}:{(19,1),(70,1),(136,1)}
        42:{1,3,5,7}:{(20,1),(72,1),(73,1),(121,1),(133,1)}
        43:{1,2,4,6}:{(20,1),(21,1),(73,1),(74,1),(134,1)}
        44:{2,3,5,6}:{(21,1),(23,1),(74,1),(76,1),(124,1),(135,1),(136,1)}
        45:{1,3,6,7}:{(22,1),(73,1),(77,1),(81,1)}
        46:{1,2,5,7}:{(22,1),(23,1),(74,1),(77,1)}
        47:{1,4,5,7}:{(25,1),(75,1),(79,1)}
        48:{2,4,5,7}:{(23,1),(26,1),(76,1),(80,1)}
        49:{1,2,4,6,7}:{(24,1),(25,1),(26,1),(78,1),(81,1),(82,1),(83,1),(117,1),(141,1)}
        50:{3,4,6,7}:{(25,1),(79,1),(81,1),(82,1),(118,1),(138,1)}
        51:{3,4,6,7}:{(26,1),(27,1),(80,1),(81,1),(83,1),(119,1)}
        52:{1,5,6,7}:{(27,1),(83,1),(128,1)}
        53:{1,2,3,5,7}:{(31,1),(42,1),(84,1),(85,1),(142,1)}
        54:{1,3,5,6}:{(29,1),(86,1),(87,1),(107,1),(144,1)}
        55:{2,3,5,6}:{(30,1),(86,1),(88,1),(97,1),(144,1)}
        56:{1,2,3,6,7}:{(28,1),(34,1),(45,1),(85,1),(89,1),(102,1),(114,1),(144,1),(184,1)}
        57:{1,2,5,7}:{(28,1),(29,1),(30,1),(86,1),(101,1),(111,1),(142,1)}
        58:{1,4,5,7}:{(29,1),(87,1),(91,1),(109,1),(157,1)}
        59:{2,4,5,7}:{(30,1),(88,1),(92,1),(98,1),(150,1)}
        60:{2,3,4,7}:{(31,1),(84,1),(93,1),(98,1),(147,1)}
        61:{2,3,6}:{(31,1),(32,1),(144,1)}
        62:{1,2,5,6}:{(32,1),(33,1),(35,1),(94,1),(142,1)}
        63:{1,4,5,6}:{(33,1),(36,1),(87,1),(96,1),(157,1)}
        64:{2,4,5,6}:{(37,1),(88,1),(97,1)}
        65:{2,3,5,7}:{(34,1),(35,1),(94,1),(98,1),(99,1)}
        66:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(38,1),(95,1),(98,1),(99,1),(100,1),(101,1),(154,1),(156,1)}
        67:{3,4,5,7}:{(36,1),(39,1),(96,1),(99,1),(100,1)}
        68:{3,5,7}:{(37,1),(40,1),(97,1),(101,1)}
        69:{3,6,7}:{(38,1),(99,1),(144,1)}
        70:{2,4,6,7}:{(39,1),(41,1),(100,1),(103,1),(145,1)}
        71:{1,4,6,7}:{(40,1),(101,1),(102,1),(146,1),(154,1)}
        72:{1,3,4,7}:{(42,1),(84,1),(104,1),(109,1),(147,1)}
        73:{1,3,6}:{(42,1),(43,1),(144,1)}
        74:{1,2,5,6}:{(43,1),(44,1),(46,1),(105,1),(142,1)}
        75:{1,4,5,6}:{(47,1),(87,1),(107,1)}
        76:{2,4,5,6}:{(44,1),(48,1),(88,1),(108,1),(150,1)}
        77:{1,3,5,7}:{(45,1),(46,1),(105,1),(109,1),(110,1)}
        78:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(49,1),(106,1),(109,1),(110,1),(111,1),(112,1),(162,1),(163,1)}
        79:{3,5,7}:{(47,1),(50,1),(107,1),(111,1)}
        80:{3,4,5,7}:{(48,1),(51,1),(108,1),(110,1),(112,1)}
        81:{3,6,7}:{(49,1),(110,1),(144,1)}
        82:{2,4,6,7}:{(50,1),(111,1),(114,1),(145,1),(162,1)}
        83:{1,4,6,7}:{(51,1),(52,1),(112,1),(113,1),(146,1)}
        84:{1,2,4,7}:{(53,1),(60,1),(72,1),(115,1)}
        85:{1,2,3,6}:{(53,1),(61,1),(73,1),(115,1)}
        86:{1,2,5,6}:{(54,1),(55,1),(57,1),(117,1),(128,1),(136,1)}
        87:{1,4,6}:{(54,1),(58,1),(118,1)}
        88:{2,4,6}:{(55,1),(59,1),(119,1)}
        89:{1,2,3,5,7}:{(56,1),(57,1),(65,1),(77,1),(116,1),(120,1),(121,1),(130,1),(140,1),(170,1),(197,1)}
        90:{1,2,4,5,7}:{(57,1),(58,1),(59,1),(117,1),(120,1),(121,1),(122,1),(123,1),(164,1),(170,1)}
        91:{3,4,5,7}:{(58,1),(79,1),(118,1),(121,1),(122,1),(138,1),(176,1)}
        92:{3,4,5,7}:{(59,1),(68,1),(119,1),(121,1),(123,1),(129,1),(171,1)}
        93:{2,3,4,6}:{(60,1),(61,1),(115,1),(124,1),(125,1),(165,1)}
        94:{2,3,5,6}:{(61,1),(62,1),(65,1),(124,1),(125,1),(126,1)}
        95:{1,2,4,5,6}:{(62,1),(63,1),(64,1),(66,1),(117,1),(125,1),(126,1),(127,1),(128,1),(164,1),(172,1),(174,1)}
        96:{3,4,5,6}:{(63,1),(67,1),(118,1),(126,1),(127,1),(176,1)}
        97:{3,5,6}:{(64,1),(68,1),(119,1),(128,1)}
        98:{2,4,7}:{(65,1),(125,1),(129,1)}
        99:{3,5,7}:{(66,1),(69,1),(126,1),(129,1)}
       100:{2,4,5,7}:{(67,1),(70,1),(127,1),(131,1)}
       101:{1,5,7}:{(68,1),(71,1),(128,1)}
       102:{1,3,6,7}:{(69,1),(71,1),(130,1),(132,1),(166,1)}
       103:{2,3,6,7}:{(69,1),(70,1),(131,1),(132,1),(167,1)}
       104:{1,3,4,6}:{(72,1),(73,1),(115,1),(133,1),(134,1),(165,1)}
       105:{1,3,5,6}:{(73,1),(74,1),(77,1),(133,1),(134,1),(135,1)}
       106:{1,2,4,5,6}:{(74,1),(75,1),(76,1),(78,1),(117,1),(134,1),(135,1),(136,1),(137,1),(164,1),(178,1),(179,1)}
       107:{3,5,6}:{(75,1),(79,1),(118,1),(136,1)}
       108:{3,4,5,6}:{(76,1),(80,1),(119,1),(135,1),(137,1),(171,1)}
       109:{1,4,7}:{(77,1),(134,1),(138,1)}
       110:{3,5,7}:{(78,1),(81,1),(135,1),(138,1)}
       111:{2,5,7}:{(79,1),(82,1),(136,1)}
       112:{1,4,5,7}:{(80,1),(83,1),(137,1),(139,1)}
       113:{1,3,6,7}:{(81,1),(83,1),(139,1),(141,1),(166,1)}
       114:{2,3,6,7}:{(81,1),(82,1),(140,1),(141,1),(167,1)}
       115:{1,2,4,6}:{(84,1),(85,1),(93,1),(104,1),(142,1)}
       116:{1,2,3,5,6}:{(85,1),(86,1),(89,1),(94,1),(105,1),(142,1),(143,1),(144,1),(152,1),(160,1),(181,1),(184,1),(202,1),(203,1)}
       117:{1,2,4,6}:{(86,1),(87,1),(88,1),(90,1),(144,1),(145,1),(146,1),(184,1)}
       118:{3,4,6}:{(87,1),(91,1),(107,1),(144,1),(145,1)}
       119:{3,4,6}:{(88,1),(92,1),(97,1),(144,1),(146,1)}
       120:{1,2,4,7}:{(89,1),(98,1),(109,1),(143,1),(147,1),(154,1),(162,1)}
       121:{3,5,7}:{(90,1),(144,1),(147,1),(181,1)}
       122:{2,4,5,7}:{(91,1),(111,1),(145,1),(149,1),(162,1),(191,1)}
       123:{1,4,5,7}:{(92,1),(101,1),(146,1),(148,1),(154,1),(186,1)}
       124:{2,3,5}:{(93,1),(142,1),(150,1),(181,1)}
       125:{2,4,6}:{(94,1),(98,1),(150,1),(151,1)}
       126:{3,5,6}:{(95,1),(99,1),(144,1),(151,1),(181,1)}
       127:{2,4,5,6}:{(96,1),(100,1),(145,1),(153,1),(191,1)}
       128:{1,5,6}:{(97,1),(101,1),(146,1)}
       129:{3,4,7}:{(98,1),(99,1),(151,1),(154,1)}
       130:{1,3,5,7}:{(99,1),(101,1),(102,1),(152,1),(154,1),(156,1),(189,1)}
       131:{2,3,5,7}:{(99,1),(100,1),(103,1),(153,1),(155,1),(156,1)}
       132:{1,2,6,7}:{(102,1),(103,1),(156,1),(184,1)}
       133:{1,3,5}:{(104,1),(142,1),(157,1),(181,1)}
       134:{1,4,6}:{(105,1),(109,1),(157,1),(158,1)}
       135:{3,5,6}:{(106,1),(110,1),(144,1),(158,1),(181,1)}
       136:{2,5,6}:{(107,1),(111,1),(145,1)}
       137:{1,4,5,6}:{(108,1),(112,1),(146,1),(159,1),(186,1)}
       138:{3,4,7}:{(109,1),(110,1),(158,1),(162,1)}
       139:{1,3,5,7}:{(110,1),(112,1),(113,1),(159,1),(161,1),(163,1)}
       140:{2,3,5,7}:{(110,1),(111,1),(114,1),(160,1),(162,1),(163,1),(193,1)}
       141:{1,2,6,7}:{(113,1),(114,1),(163,1),(184,1)}
       142:{1,2,5}:{(115,1),(124,1),(133,1)}
       143:{1,2,4,6}:{(116,1),(120,1),(125,1),(134,1),(164,1),(165,1),(172,1),(178,1)}
       144:{3,6}:{(117,1),(121,1)}
       145:{2,4,6}:{(118,1),(122,1),(136,1),(167,1)}
       146:{1,4,6}:{(119,1),(123,1),(128,1),(166,1)}
       147:{3,4,7}:{(120,1),(121,1),(165,1)}
       148:{1,3,5,7}:{(121,1),(123,1),(166,1),(168,1),(170,1),(194,1)}
       149:{2,3,5,7}:{(121,1),(122,1),(167,1),(169,1),(170,1),(195,1)}
       150:{2,4,5}:{(124,1),(125,1),(171,1)}
       151:{3,4,6}:{(125,1),(126,1),(129,1),(171,1),(172,1)}
       152:{1,3,5,6}:{(126,1),(128,1),(130,1),(166,1),(172,1),(174,1),(194,1),(199,1)}
       153:{2,3,5,6}:{(126,1),(127,1),(131,1),(167,1),(173,1),(174,1),(195,1)}
       154:{1,4,7}:{(129,1),(130,1),(172,1)}
       155:{2,3,4,7}:{(129,1),(131,1),(173,1),(175,1)}
       156:{1,2,5,7}:{(130,1),(131,1),(132,1),(174,1),(175,1)}
       157:{1,4,5}:{(133,1),(134,1),(176,1)}
       158:{3,4,6}:{(134,1),(135,1),(138,1),(176,1),(178,1)}
       159:{1,3,5,6}:{(135,1),(137,1),(139,1),(166,1),(177,1),(179,1),(194,1)}
       160:{2,3,5,6}:{(135,1),(136,1),(140,1),(167,1),(178,1),(179,1),(195,1),(201,1)}
       161:{1,3,4,7}:{(138,1),(139,1),(177,1),(180,1)}
       162:{2,4,7}:{(138,1),(140,1),(178,1)}
       163:{1,2,5,7}:{(139,1),(140,1),(141,1),(179,1),(180,1)}
       164:{1,2,4,5}:{(142,1),(143,1),(150,1),(157,1),(181,1),(186,1),(191,1),(202,1)}
       165:{3,4,6}:{(143,1),(144,1),(147,1),(181,1)}
       166:{1,3,6}:{(144,1),(146,1),(148,1),(184,1)}
       167:{2,3,6}:{(144,1),(145,1),(149,1),(184,1)}
       168:{1,3,4,7}:{(147,1),(148,1),(154,1),(182,1),(185,1),(189,1)}
       169:{2,3,4,7}:{(147,1),(149,1),(162,1),(183,1),(185,1),(193,1)}
       170:{1,2,5,7}:{(148,1),(149,1),(184,1),(185,1),(202,1)}
       171:{3,4,5}:{(150,1),(151,1),(181,1),(186,1)}
       172:{1,4,6}:{(151,1),(152,1),(154,1),(186,1)}
       173:{2,3,4,6}:{(151,1),(153,1),(155,1),(187,1),(188,1)}
       174:{1,2,5,6}:{(152,1),(153,1),(156,1),(184,1),(188,1),(202,1)}
       175:{1,2,4,7}:{(154,1),(155,1),(156,1),(188,1),(189,1)}
       176:{3,4,5}:{(157,1),(158,1),(181,1),(191,1)}
       177:{1,3,4,6}:{(158,1),(159,1),(161,1),(190,1),(192,1)}
       178:{2,4,6}:{(158,1),(160,1),(162,1),(191,1)}
       179:{1,2,5,6}:{(159,1),(160,1),(163,1),(184,1),(192,1),(202,1)}
       180:{1,2,4,7}:{(161,1),(162,1),(163,1),(192,1),(193,1)}
       181:{3,5}:{(164,1),(165,1)}
       182:{1,3,4,6}:{(165,1),(166,1),(168,1),(172,1),(194,1),(196,1),(199,1),(207,1)}
       183:{2,3,4,6}:{(165,1),(167,1),(169,1),(178,1),(195,1),(196,1),(201,1),(208,1)}
       184:{1,2,6}:{(166,1),(167,1),(170,1)}
       185:{1,2,4,7}:{(168,1),(169,1),(170,1),(196,1),(197,1)}
       186:{1,4,5}:{(171,1),(172,1),(194,1)}
       187:{2,3,4,5}:{(171,1),(173,1),(195,1),(198,1),(208,1)}
       188:{1,2,4,6}:{(172,1),(173,1),(174,1),(175,1),(198,1),(199,1)}
       189:{1,3,7}:{(175,1),(199,1)}
       190:{1,3,4,5}:{(176,1),(177,1),(194,1),(200,1),(207,1)}
       191:{2,4,5}:{(176,1),(178,1),(195,1)}
       192:{1,2,4,6}:{(177,1),(178,1),(179,1),(180,1),(200,1),(201,1)}
       193:{2,3,7}:{(180,1),(201,1)}
       194:{1,3,5}:{(181,1),(182,1),(186,1),(202,1)}
       195:{2,3,5}:{(181,1),(183,1),(191,1),(202,1)}
       196:{1,2,4,6}:{(182,1),(183,1),(184,1),(185,1),(202,1),(203,1),(209,1)}
       197:{1,2,3,7}:{(185,1),(189,1),(193,1),(203,1)}
       198:{1,2,4,5}:{(186,1),(187,1),(188,1),(202,1),(204,1),(209,1)}
       199:{1,3,6}:{(188,1),(189,1),(204,1)}
       200:{1,2,4,5}:{(190,1),(191,1),(192,1),(202,1),(205,1),(209,1)}
       201:{2,3,6}:{(192,1),(193,1),(205,1)}
       202:{1,2,5}:{(194,1),(195,1),(196,1)}
       203:{1,2,3,6}:{(196,1),(197,1),(199,1),(201,1),(206,1)}
       204:{1,3,5}:{(198,1),(199,1),(207,1)}
       205:{2,3,5}:{(200,1),(201,1),(208,1)}
       206:{1,2,3,5}:{(202,1),(203,1),(204,1),(205,1),(209,1)}
       207:{1,3,4}:{(204,1),(209,1)}
       208:{2,3,4}:{(205,1),(209,1)}
       209:{1,2,4}:{(206,1),(207,1),(208,1)}

2169 :   0:{2,3,4,5,6}:{(2,1),(3,1),(34,1),(68,1),(81,1)}
         1:{1,2,3,4,6}:{(4,1),(5,1),(23,1),(24,1)}
         2:{1,2,4,5,6}:{(0,1),(8,1),(9,1),(24,1),(56,1),(61,1)}
         3:{2,3,4,5,7}:{(0,1),(6,1),(9,1),(50,1),(90,1),(103,1)}
         4:{1,2,3,4,7}:{(1,1),(11,1),(40,1)}
         5:{1,2,3,5}:{(1,1),(12,1)}
         6:{2,3,4,6,7}:{(3,1),(15,1),(17,1),(82,1)}
         7:{1,3,4,5}:{(12,1),(18,1)}
         8:{1,3,5,6}:{(2,1),(18,1),(19,1)}
         9:{1,2,4,5,7}:{(2,1),(3,1),(17,1),(19,1),(40,1),(78,1),(83,1)}
        10:{1,2,3,4,6,7}:{(4,1),(21,1),(23,1),(51,1),(54,1),(57,1),(93,1),(98,1),(131,1)}
        11:{1,2,3,5,7}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,2,4,5}:{(5,1),(7,1),(20,1),(24,1)}
        13:{1,2,3,5,6}:{(5,1),(8,1),(23,1),(24,1),(25,1),(49,1),(56,1)}
        14:{3,4,5,6,7}:{(26,1),(27,1),(60,1),(128,1)}
        15:{2,3,5,6,7}:{(6,1),(26,1),(28,1),(60,1),(90,1)}
        16:{1,3,4,5,7}:{(7,1),(22,1),(29,1),(32,1),(53,1),(63,1)}
        17:{1,2,4,6,7}:{(6,1),(9,1),(28,1),(30,1),(62,1)}
        18:{1,3,4,6}:{(7,1),(8,1),(24,1),(32,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(30,1),(32,1)}
        20:{2,3,4,5}:{(12,1),(34,1)}
        21:{1,2,3,5,7}:{(10,1),(35,1),(36,1),(78,1),(118,1),(142,1)}
        22:{1,2,4,5,7}:{(11,1),(12,1),(16,1),(33,1),(37,1),(40,1),(78,1)}
        23:{1,2,3,6}:{(11,1),(37,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(18,1),(34,1),(40,1)}
        25:{1,2,3,5,7}:{(13,1),(19,1),(38,1),(40,1),(70,1),(78,1)}
        26:{2,4,5,6,7}:{(14,1),(15,1),(110,1)}
        27:{1,4,5,6,7}:{(14,1),(41,1),(139,1)}
        28:{1,2,5,6,7}:{(15,1),(17,1),(43,1),(78,1)}
        29:{1,3,4,6}:{(16,1),(37,1),(44,1),(75,1)}
        30:{1,3,6,7}:{(17,1),(19,1)}
        31:{1,3,4,5,6}:{(18,1),(39,1),(44,1),(46,1),(109,1)}
        32:{1,3,4,7}:{(18,1),(19,1),(40,1)}
        33:{2,3,4,5,7}:{(20,1),(22,1),(48,1),(50,1),(53,1),(90,1)}
        34:{2,3,4,6}:{(20,1),(24,1),(49,1),(50,1)}
        35:{1,2,4,5,7}:{(21,1),(53,1),(54,1)}
        36:{1,2,3,5,6}:{(21,1),(23,1),(54,1),(56,1),(93,1),(97,1),(130,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(29,1),(48,1),(56,1)}
        38:{1,2,3,6,7}:{(23,1),(25,1),(30,1),(57,1),(91,1)}
        39:{1,2,4,5,6}:{(24,1),(31,1),(49,1),(56,1),(58,1),(89,1)}
        40:{1,2,4,7}:{(24,1),(25,1),(32,1),(50,1)}
        41:{1,3,5,6,7}:{(27,1),(52,1),(59,1),(60,1),(132,1)}
        42:{1,2,4,5,6,7}:{(26,1),(27,1),(28,1),(59,1),(60,1),(62,1),(99,1),(102,1)}
        43:{1,3,5,6,7}:{(28,1),(30,1),(60,1),(62,1),(63,1)}
        44:{1,3,5,6}:{(29,1),(56,1),(61,1),(63,1),(97,1)}
        45:{1,3,4,6,7}:{(29,1),(30,1),(32,1),(57,1),(62,1),(63,1),(98,1)}
        46:{1,3,4,5,7}:{(31,1),(32,1),(58,1),(63,1),(64,1),(128,1)}
        47:{1,3,4,5,6}:{(66,1),(67,1),(81,1),(114,1),(136,1)}
        48:{2,3,4,6}:{(33,1),(37,1),(68,1),(75,1)}
        49:{2,3,5,6}:{(34,1),(39,1),(70,1)}
        50:{2,3,4,7}:{(34,1),(40,1),(70,1)}
        51:{1,2,3,4,7}:{(65,1),(71,1),(138,1)}
        52:{1,3,4,6,7}:{(41,1),(67,1),(74,1),(82,1)}
        53:{3,4,5,7}:{(35,1),(75,1),(118,1)}
        54:{1,2,4,6}:{(35,1),(36,1),(75,1)}
        55:{1,2,3,5,6,7}:{(36,1),(38,1),(43,1),(77,1),(78,1),(80,1),(111,1),(113,1),(118,1),(142,1),(143,1)}
        56:{1,2,5,6}:{(37,1),(44,1),(68,1),(78,1)}
        57:{1,2,4,6,7}:{(37,1),(38,1),(40,1),(45,1),(69,1),(78,1)}
        58:{1,2,4,5,7}:{(39,1),(40,1),(46,1),(70,1),(78,1),(79,1),(110,1)}
        59:{1,2,5,6,7}:{(41,1),(74,1),(80,1),(142,1)}
        60:{3,5,6,7}:{(42,1),(82,1),(118,1)}
        61:{1,4,5,6}:{(44,1),(81,1),(83,1)}
        62:{1,4,6,7}:{(43,1),(82,1),(83,1)}
        63:{1,3,5,7}:{(44,1),(45,1),(78,1),(83,1),(118,1)}
        64:{1,3,4,6,7}:{(46,1),(79,1),(84,1),(141,1)}
        65:{1,2,3,4,6}:{(51,1),(85,1),(93,1),(123,1)}
        66:{1,2,4,5,6}:{(47,1),(87,1),(88,1),(101,1),(123,1),(130,1)}
        67:{1,3,4,5,7}:{(47,1),(52,1),(88,1),(103,1),(132,1),(146,1)}
        68:{2,3,5,6}:{(48,1),(56,1),(89,1),(90,1),(97,1)}
        69:{2,3,4,6,7}:{(48,1),(50,1),(57,1),(90,1),(91,1),(98,1),(129,1)}
        70:{2,3,5,7}:{(49,1),(50,1),(58,1),(91,1)}
        71:{1,2,3,5,7}:{(51,1),(85,1),(92,1),(93,1)}
        72:{1,3,4,5,7}:{(53,1),(92,1),(94,1),(122,1),(132,1),(146,1)}
        73:{2,3,4,5,7}:{(53,1),(86,1),(92,1),(95,1),(127,1),(133,1)}
        74:{1,2,4,6,7}:{(52,1),(59,1),(88,1),(96,1),(102,1)}
        75:{3,4,6}:{(53,1),(54,1),(97,1)}
        76:{1,2,4,5,6}:{(54,1),(56,1),(61,1),(89,1),(97,1),(99,1),(101,1),(125,1),(130,1)}
        77:{1,2,4,6,7}:{(54,1),(55,1),(62,1),(98,1),(99,1),(102,1),(129,1),(148,1)}
        78:{1,2,5,7}:{(56,1),(57,1),(63,1),(90,1)}
        79:{1,2,4,6,7}:{(58,1),(64,1),(91,1),(100,1),(129,1)}
        80:{2,3,5,6,7}:{(59,1),(60,1),(96,1),(102,1),(133,1)}
        81:{3,4,5,6}:{(61,1),(97,1),(101,1),(103,1)}
        82:{3,4,6,7}:{(60,1),(62,1),(102,1),(103,1)}
        83:{1,4,5,7}:{(61,1),(62,1),(63,1),(103,1)}
        84:{1,3,5,6,7}:{(63,1),(64,1),(100,1),(104,1),(134,1)}
        85:{1,2,3,5}:{(65,1),(105,1)}
        86:{2,3,4,5}:{(105,1),(107,1)}
        87:{2,3,5,6}:{(66,1),(107,1),(108,1)}
        88:{1,2,4,5,7}:{(66,1),(67,1),(74,1),(108,1),(120,1),(138,1),(142,1)}
        89:{2,4,5,6}:{(68,1),(109,1),(110,1)}
        90:{2,3,5,7}:{(68,1),(69,1),(78,1),(110,1),(118,1)}
        91:{2,3,6,7}:{(70,1),(79,1)}
        92:{1,2,4,5,7}:{(71,1),(72,1),(73,1),(105,1),(112,1),(138,1),(142,1)}
        93:{1,2,3,6}:{(71,1),(112,1)}
        94:{1,3,4,6}:{(72,1),(75,1),(112,1),(114,1)}
        95:{2,3,4,6}:{(73,1),(75,1),(112,1),(116,1)}
        96:{2,3,6,7}:{(74,1),(108,1)}
        97:{3,5,6}:{(75,1),(76,1),(118,1)}
        98:{3,4,6,7}:{(75,1),(77,1),(118,1)}
        99:{1,2,4,5,7}:{(76,1),(77,1),(78,1),(83,1),(110,1),(118,1),(120,1),(139,1),(142,1)}
       100:{1,2,5,6,7}:{(78,1),(79,1),(84,1),(111,1)}
       101:{2,4,5,6}:{(81,1),(116,1),(120,1)}
       102:{2,4,6,7}:{(80,1),(82,1),(120,1)}
       103:{3,4,5,7}:{(81,1),(82,1),(83,1),(118,1),(120,1)}
       104:{1,4,5,6,7}:{(83,1),(84,1),(121,1)}
       105:{1,2,4,5}:{(85,1),(86,1),(122,1),(123,1)}
       106:{1,2,3,5,6}:{(85,1),(87,1),(93,1),(123,1),(124,1),(130,1),(145,1)}
       107:{2,3,4,6}:{(86,1),(87,1),(123,1),(127,1)}
       108:{2,3,5,7}:{(87,1),(88,1),(96,1),(127,1)}
       109:{3,4,5,6}:{(89,1),(97,1),(125,1),(128,1)}
       110:{2,4,5,7}:{(89,1),(90,1),(128,1),(129,1)}
       111:{2,3,5,6,7}:{(90,1),(91,1),(100,1),(129,1),(134,1)}
       112:{1,2,4,6}:{(92,1),(93,1),(94,1),(95,1),(130,1)}
       113:{1,2,3,6,7}:{(93,1),(96,1),(124,1),(131,1),(153,1)}
       114:{1,3,5,6}:{(94,1),(97,1),(125,1),(130,1),(132,1)}
       115:{1,3,4,6,7}:{(94,1),(98,1),(131,1),(132,1),(146,1),(148,1),(153,1)}
       116:{2,3,5,6}:{(95,1),(97,1),(101,1),(130,1),(133,1)}
       117:{2,3,4,6,7}:{(95,1),(96,1),(98,1),(102,1),(127,1),(131,1),(133,1)}
       118:{3,5,7}:{(97,1),(98,1),(99,1)}
       119:{1,2,4,5,6,7}:{(99,1),(100,1),(104,1),(129,1),(134,1),(135,1),(148,1),(150,1)}
       120:{2,4,5,7}:{(101,1),(102,1),(103,1),(133,1)}
       121:{3,4,5,6,7}:{(103,1),(104,1),(134,1),(135,1)}
       122:{1,3,4,5}:{(105,1),(136,1)}
       123:{1,2,4,6}:{(105,1),(106,1),(107,1),(136,1),(138,1)}
       124:{1,2,3,5,7}:{(106,1),(108,1),(113,1),(138,1),(142,1),(151,1)}
       125:{1,4,5,6}:{(109,1),(114,1),(139,1)}
       126:{2,3,4,5,6}:{(107,1),(109,1),(116,1),(137,1),(140,1)}
       127:{2,3,4,7}:{(107,1),(108,1),(138,1)}
       128:{3,4,5,7}:{(109,1),(110,1),(118,1),(139,1),(141,1)}
       129:{2,4,6,7}:{(110,1),(111,1),(141,1)}
       130:{1,2,5,6}:{(112,1),(114,1),(116,1),(142,1)}
       131:{1,2,4,6,7}:{(112,1),(113,1),(115,1),(117,1),(138,1),(142,1)}
       132:{1,3,5,7}:{(114,1),(115,1),(118,1),(139,1),(142,1)}
       133:{2,3,5,7}:{(116,1),(117,1),(118,1),(120,1),(142,1)}
       134:{3,5,6,7}:{(118,1),(119,1),(141,1)}
       135:{2,4,5,6,7}:{(120,1),(121,1),(144,1)}
       136:{1,3,4,6}:{(122,1),(123,1),(145,1),(146,1)}
       137:{1,2,4,5,6}:{(123,1),(125,1),(126,1),(130,1),(145,1),(147,1)}
       138:{1,2,4,7}:{(123,1),(124,1),(127,1),(146,1)}
       139:{1,4,5,7}:{(125,1),(128,1),(132,1),(148,1)}
       140:{2,3,4,5,7}:{(126,1),(127,1),(128,1),(133,1),(147,1),(149,1)}
       141:{3,4,6,7}:{(128,1),(129,1),(134,1),(148,1)}
       142:{1,2,5,7}:{(130,1),(131,1),(132,1),(133,1)}
       143:{1,3,5,6,7}:{(132,1),(134,1),(148,1),(150,1),(153,1)}
       144:{2,3,5,6,7}:{(133,1),(134,1),(135,1),(149,1),(150,1)}
       145:{1,3,5,6}:{(136,1),(137,1),(151,1)}
       146:{1,3,4,7}:{(136,1),(138,1),(151,1)}
       147:{1,2,4,5,7}:{(137,1),(138,1),(139,1),(140,1),(142,1),(151,1),(152,1)}
       148:{1,4,6,7}:{(139,1),(141,1),(143,1)}
       149:{2,3,4,6,7}:{(140,1),(141,1),(144,1),(152,1)}
       150:{1,2,5,6,7}:{(142,1),(143,1),(144,1),(152,1)}
       151:{1,3,5,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{1,2,4,6,7}:{(147,1),(148,1),(149,1),(150,1),(153,1)}
       153:{1,3,6,7}:{(151,1),(152,1)}

2170 :   0:{2,3,4,5,6}:{(2,1),(3,1),(34,1),(59,1),(88,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(20,1),(95,1)}
         2:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(44,1),(47,1),(75,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(23,1),(73,1),(76,1)}
         4:{1,4,5,6,7}:{(1,1),(10,1),(100,1)}
         5:{2,4,5,6,7}:{(1,1),(9,1),(87,1)}
         6:{2,3,4,6,7}:{(2,1),(9,1),(12,1),(31,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(12,1),(14,1),(35,1),(57,1),(61,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(15,1)}
         9:{2,3,5,6,7}:{(5,1),(6,1),(18,1),(20,1),(75,1)}
        10:{1,3,5,6,7}:{(4,1),(17,1),(19,1),(20,1),(93,1)}
        11:{1,2,4,5,6,7}:{(4,1),(5,1),(18,1),(19,1),(20,1),(42,1),(43,1),(72,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(18,1),(21,1),(42,1)}
        13:{1,2,3,5,6}:{(8,1),(22,1),(23,1),(48,1),(76,1),(77,1)}
        14:{1,3,5,7}:{(7,1),(8,1),(21,1),(24,1)}
        15:{1,3,4,6}:{(8,1),(23,1),(24,1),(25,1)}
        16:{1,3,4,5,6}:{(26,1),(27,1),(59,1),(78,1),(101,1)}
        17:{1,3,4,6,7}:{(10,1),(26,1),(28,1),(31,1)}
        18:{1,2,5,6,7}:{(9,1),(12,1),(29,1),(61,1)}
        19:{1,2,5,6,7}:{(10,1),(28,1),(30,1),(83,1)}
        20:{3,5,6,7}:{(11,1),(31,1),(85,1)}
        21:{1,3,6,7}:{(12,1),(14,1)}
        22:{1,2,3,5,7}:{(13,1),(14,1),(32,1),(35,1),(61,1),(63,1)}
        23:{1,2,4,6}:{(13,1),(15,1),(34,1),(35,1),(36,1)}
        24:{1,3,4,7}:{(14,1),(15,1),(35,1)}
        25:{1,3,4,5}:{(15,1),(36,1)}
        26:{1,3,4,5,7}:{(16,1),(17,1),(38,1),(44,1),(89,1),(93,1)}
        27:{1,2,4,5,6}:{(16,1),(38,1),(39,1),(66,1),(74,1),(94,1)}
        28:{1,2,4,6,7}:{(17,1),(19,1),(38,1),(40,1),(43,1)}
        29:{1,3,5,6,7}:{(18,1),(20,1),(21,1),(42,1),(46,1)}
        30:{2,3,5,6,7}:{(19,1),(20,1),(40,1),(43,1),(70,1)}
        31:{3,4,6,7}:{(20,1),(42,1),(43,1),(44,1)}
        32:{1,2,3,6,7}:{(21,1),(22,1),(45,1),(77,1)}
        33:{1,3,4,6,7}:{(21,1),(24,1),(42,1),(45,1),(46,1),(50,1),(71,1)}
        34:{2,3,4,6}:{(23,1),(47,1),(48,1),(77,1)}
        35:{1,2,4,7}:{(22,1),(23,1),(24,1),(47,1)}
        36:{1,2,4,5}:{(23,1),(25,1),(48,1)}
        37:{1,3,4,5,7}:{(24,1),(25,1),(46,1),(49,1),(50,1),(95,1)}
        38:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(52,1),(58,1),(79,1),(83,1)}
        39:{2,3,5,6}:{(27,1),(52,1),(53,1)}
        40:{2,3,6,7}:{(28,1),(52,1)}
        41:{1,2,3,5,6,7}:{(29,1),(30,1),(32,1),(54,1),(56,1),(61,1),(83,1),(85,1),(88,1),(101,1)}
        42:{1,4,6,7}:{(29,1),(31,1),(57,1)}
        43:{2,4,6,7}:{(30,1),(31,1),(58,1)}
        44:{3,4,5,7}:{(31,1),(57,1),(58,1),(59,1),(85,1)}
        45:{1,2,4,6,7}:{(32,1),(33,1),(35,1),(60,1),(61,1),(64,1)}
        46:{1,3,5,7}:{(33,1),(57,1),(61,1),(62,1),(85,1)}
        47:{2,3,4,7}:{(34,1),(35,1),(63,1)}
        48:{2,3,5}:{(34,1),(36,1)}
        49:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(61,1),(63,1),(64,1),(87,1)}
        50:{1,3,4,6}:{(37,1),(62,1),(64,1),(102,1)}
        51:{1,2,3,5,6}:{(39,1),(65,1),(66,1),(90,1),(94,1),(103,1)}
        52:{2,3,5,7}:{(38,1),(39,1),(40,1),(67,1)}
        53:{2,3,4,6}:{(39,1),(66,1),(67,1),(68,1)}
        54:{1,2,3,6,7}:{(40,1),(65,1),(69,1),(103,1)}
        55:{2,3,4,6,7}:{(40,1),(43,1),(67,1),(69,1),(70,1),(71,1),(92,1)}
        56:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(71,1),(72,1),(97,1),(104,1)}
        57:{1,4,5,7}:{(42,1),(44,1),(46,1),(73,1)}
        58:{2,4,5,7}:{(43,1),(44,1),(70,1),(74,1)}
        59:{3,4,5,6}:{(44,1),(73,1),(74,1),(96,1)}
        60:{2,3,4,6,7}:{(45,1),(47,1),(71,1),(75,1),(77,1),(97,1)}
        61:{1,2,5,7}:{(45,1),(46,1),(75,1),(76,1)}
        62:{1,3,5,6}:{(46,1),(50,1),(73,1),(76,1),(96,1)}
        63:{2,3,5,7}:{(47,1),(48,1),(49,1),(77,1)}
        64:{1,2,4,6}:{(49,1),(50,1),(76,1),(77,1),(97,1)}
        65:{1,2,3,5,7}:{(51,1),(52,1),(54,1),(79,1),(83,1),(98,1)}
        66:{1,2,4,6}:{(51,1),(53,1),(78,1),(79,1),(80,1)}
        67:{2,3,4,7}:{(52,1),(53,1),(79,1)}
        68:{2,3,4,5}:{(53,1),(80,1)}
        69:{1,2,4,6,7}:{(54,1),(55,1),(79,1),(82,1),(83,1),(99,1)}
        70:{2,3,5,7}:{(55,1),(58,1),(83,1),(84,1),(85,1)}
        71:{3,4,6,7}:{(56,1),(85,1),(102,1)}
        72:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(61,1),(83,1),(85,1),(86,1),(87,1),(100,1)}
        73:{1,4,5,6}:{(57,1),(59,1),(62,1)}
        74:{2,4,5,6}:{(58,1),(59,1),(84,1)}
        75:{2,3,5,7}:{(60,1),(61,1),(85,1),(87,1),(88,1)}
        76:{1,2,5,6}:{(61,1),(62,1),(64,1),(88,1)}
        77:{2,3,6}:{(63,1),(64,1)}
        78:{1,3,4,6}:{(66,1),(89,1),(90,1),(103,1)}
        79:{1,2,4,7}:{(65,1),(66,1),(67,1),(89,1)}
        80:{1,2,4,5}:{(66,1),(68,1),(90,1)}
        81:{2,3,4,5,7}:{(67,1),(68,1),(70,1),(91,1),(92,1),(95,1)}
        82:{1,3,4,6,7}:{(69,1),(71,1),(89,1),(93,1),(103,1),(104,1)}
        83:{1,2,5,7}:{(69,1),(70,1),(93,1),(94,1)}
        84:{2,3,5,6}:{(70,1),(74,1),(92,1),(94,1),(96,1)}
        85:{3,5,7}:{(71,1),(72,1),(96,1)}
        86:{1,2,4,5,6}:{(72,1),(73,1),(74,1),(76,1),(94,1),(96,1),(97,1),(104,1)}
        87:{2,4,5,7}:{(75,1),(95,1),(97,1)}
        88:{2,3,5,6}:{(75,1),(76,1),(77,1),(96,1),(97,1)}
        89:{1,3,4,7}:{(78,1),(79,1),(98,1)}
        90:{1,3,5}:{(78,1),(80,1)}
        91:{1,2,4,5,7}:{(79,1),(80,1),(81,1),(83,1),(98,1),(99,1),(100,1)}
        92:{2,3,4,6}:{(81,1),(84,1),(99,1),(102,1)}
        93:{1,3,5,7}:{(82,1),(83,1),(85,1),(100,1),(101,1)}
        94:{1,2,5,6}:{(83,1),(84,1),(99,1),(101,1)}
        95:{3,4,5,7}:{(85,1),(87,1),(100,1),(102,1)}
        96:{3,5,6}:{(85,1),(86,1),(102,1)}
        97:{2,4,6}:{(87,1),(88,1),(102,1)}
        98:{1,3,5,7}:{(89,1),(90,1),(91,1),(103,1)}
        99:{1,2,4,6}:{(91,1),(92,1),(94,1),(103,1),(104,1)}
       100:{1,4,5,7}:{(93,1),(95,1),(104,1)}
       101:{1,3,5,6}:{(93,1),(94,1),(96,1),(103,1),(104,1)}
       102:{3,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       103:{1,3,6}:{(98,1),(99,1)}
       104:{1,4,6}:{(100,1),(101,1),(102,1)}

2171 :   0:{1,3,4,5,6}:{(2,1),(3,1),(34,1),(68,1),(81,1)}
         1:{1,2,3,4,6}:{(4,1),(5,1),(23,1),(24,1)}
         2:{1,2,4,5,6}:{(0,1),(8,1),(9,1),(24,1),(56,1),(61,1)}
         3:{1,3,4,5,7}:{(0,1),(6,1),(9,1),(50,1),(90,1),(103,1)}
         4:{1,2,3,4,7}:{(1,1),(11,1),(40,1)}
         5:{1,2,3,5}:{(1,1),(12,1)}
         6:{1,3,4,6,7}:{(3,1),(15,1),(17,1),(82,1)}
         7:{2,3,4,5}:{(12,1),(18,1)}
         8:{2,3,5,6}:{(2,1),(18,1),(19,1)}
         9:{1,2,4,5,7}:{(2,1),(3,1),(17,1),(19,1),(40,1),(78,1),(83,1)}
        10:{1,2,3,4,6,7}:{(4,1),(21,1),(23,1),(51,1),(54,1),(57,1),(93,1),(98,1),(131,1)}
        11:{1,2,3,5,7}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,2,4,5}:{(5,1),(7,1),(20,1),(24,1)}
        13:{1,2,3,5,6}:{(5,1),(8,1),(23,1),(24,1),(25,1),(49,1),(56,1)}
        14:{3,4,5,6,7}:{(26,1),(27,1),(60,1),(128,1)}
        15:{1,3,5,6,7}:{(6,1),(27,1),(28,1),(60,1),(90,1)}
        16:{2,3,4,5,7}:{(7,1),(22,1),(29,1),(32,1),(53,1),(63,1)}
        17:{1,2,4,6,7}:{(6,1),(9,1),(28,1),(30,1),(62,1)}
        18:{2,3,4,6}:{(7,1),(8,1),(24,1),(32,1)}
        19:{2,3,5,7}:{(8,1),(9,1),(30,1),(32,1)}
        20:{1,3,4,5}:{(12,1),(34,1)}
        21:{1,2,3,5,7}:{(10,1),(35,1),(36,1),(78,1),(118,1),(142,1)}
        22:{1,2,4,5,7}:{(11,1),(12,1),(16,1),(33,1),(37,1),(40,1),(78,1)}
        23:{1,2,3,6}:{(11,1),(37,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(18,1),(34,1),(40,1)}
        25:{1,2,3,5,7}:{(13,1),(19,1),(38,1),(40,1),(70,1),(78,1)}
        26:{2,4,5,6,7}:{(14,1),(41,1),(140,1)}
        27:{1,4,5,6,7}:{(14,1),(15,1),(110,1)}
        28:{1,2,5,6,7}:{(15,1),(17,1),(43,1),(78,1)}
        29:{2,3,4,6}:{(16,1),(37,1),(44,1),(75,1)}
        30:{2,3,6,7}:{(17,1),(19,1)}
        31:{2,3,4,5,6}:{(18,1),(39,1),(44,1),(46,1),(109,1)}
        32:{2,3,4,7}:{(18,1),(19,1),(40,1)}
        33:{1,3,4,5,7}:{(20,1),(22,1),(48,1),(50,1),(53,1),(90,1)}
        34:{1,3,4,6}:{(20,1),(24,1),(49,1),(50,1)}
        35:{1,2,4,5,7}:{(21,1),(53,1),(54,1)}
        36:{1,2,3,5,6}:{(21,1),(23,1),(54,1),(56,1),(93,1),(97,1),(130,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(29,1),(48,1),(56,1)}
        38:{1,2,3,6,7}:{(23,1),(25,1),(30,1),(57,1),(91,1)}
        39:{1,2,4,5,6}:{(24,1),(31,1),(49,1),(56,1),(58,1),(89,1)}
        40:{1,2,4,7}:{(24,1),(25,1),(32,1),(50,1)}
        41:{2,3,5,6,7}:{(26,1),(52,1),(59,1),(60,1),(133,1)}
        42:{1,2,4,5,6,7}:{(26,1),(27,1),(28,1),(59,1),(60,1),(62,1),(99,1),(102,1)}
        43:{2,3,5,6,7}:{(28,1),(30,1),(60,1),(62,1),(63,1)}
        44:{2,3,5,6}:{(29,1),(56,1),(61,1),(63,1),(97,1)}
        45:{2,3,4,6,7}:{(29,1),(30,1),(32,1),(57,1),(62,1),(63,1),(98,1)}
        46:{2,3,4,5,7}:{(31,1),(32,1),(58,1),(63,1),(64,1),(128,1)}
        47:{2,3,4,5,6}:{(66,1),(67,1),(81,1),(116,1),(136,1)}
        48:{1,3,4,6}:{(33,1),(37,1),(68,1),(75,1)}
        49:{1,3,5,6}:{(34,1),(39,1),(70,1)}
        50:{1,3,4,7}:{(34,1),(40,1),(70,1)}
        51:{1,2,3,4,7}:{(65,1),(71,1),(138,1)}
        52:{2,3,4,6,7}:{(41,1),(67,1),(73,1),(82,1)}
        53:{3,4,5,7}:{(35,1),(75,1),(118,1)}
        54:{1,2,4,6}:{(35,1),(36,1),(75,1)}
        55:{1,2,3,5,6,7}:{(36,1),(38,1),(43,1),(77,1),(78,1),(80,1),(111,1),(113,1),(118,1),(142,1),(144,1)}
        56:{1,2,5,6}:{(37,1),(44,1),(68,1),(78,1)}
        57:{1,2,4,6,7}:{(37,1),(38,1),(40,1),(45,1),(69,1),(78,1)}
        58:{1,2,4,5,7}:{(39,1),(40,1),(46,1),(70,1),(78,1),(79,1),(110,1)}
        59:{1,2,5,6,7}:{(41,1),(73,1),(80,1),(142,1)}
        60:{3,5,6,7}:{(42,1),(82,1),(118,1)}
        61:{2,4,5,6}:{(44,1),(81,1),(83,1)}
        62:{2,4,6,7}:{(43,1),(82,1),(83,1)}
        63:{2,3,5,7}:{(44,1),(45,1),(78,1),(83,1),(118,1)}
        64:{2,3,4,6,7}:{(46,1),(79,1),(84,1),(141,1)}
        65:{1,2,3,4,6}:{(51,1),(85,1),(93,1),(123,1)}
        66:{1,2,4,5,6}:{(47,1),(87,1),(88,1),(101,1),(123,1),(130,1)}
        67:{2,3,4,5,7}:{(47,1),(52,1),(88,1),(103,1),(133,1),(146,1)}
        68:{1,3,5,6}:{(48,1),(56,1),(89,1),(90,1),(97,1)}
        69:{1,3,4,6,7}:{(48,1),(50,1),(57,1),(90,1),(91,1),(98,1),(129,1)}
        70:{1,3,5,7}:{(49,1),(50,1),(58,1),(91,1)}
        71:{1,2,3,5,7}:{(51,1),(85,1),(92,1),(93,1)}
        72:{1,3,4,5,7}:{(53,1),(86,1),(92,1),(94,1),(126,1),(132,1)}
        73:{1,2,4,6,7}:{(52,1),(59,1),(88,1),(95,1),(102,1)}
        74:{2,3,4,5,7}:{(53,1),(92,1),(96,1),(122,1),(133,1),(146,1)}
        75:{3,4,6}:{(53,1),(54,1),(97,1)}
        76:{1,2,4,5,6}:{(54,1),(56,1),(61,1),(89,1),(97,1),(99,1),(101,1),(127,1),(130,1)}
        77:{1,2,4,6,7}:{(54,1),(55,1),(62,1),(98,1),(99,1),(102,1),(129,1),(149,1)}
        78:{1,2,5,7}:{(56,1),(57,1),(63,1),(90,1)}
        79:{1,2,4,6,7}:{(58,1),(64,1),(91,1),(100,1),(129,1)}
        80:{1,3,5,6,7}:{(59,1),(60,1),(95,1),(102,1),(132,1)}
        81:{3,4,5,6}:{(61,1),(97,1),(101,1),(103,1)}
        82:{3,4,6,7}:{(60,1),(62,1),(102,1),(103,1)}
        83:{2,4,5,7}:{(61,1),(62,1),(63,1),(103,1)}
        84:{2,3,5,6,7}:{(63,1),(64,1),(100,1),(104,1),(134,1)}
        85:{1,2,3,5}:{(65,1),(105,1)}
        86:{1,3,4,5}:{(105,1),(107,1)}
        87:{1,3,5,6}:{(66,1),(107,1),(108,1)}
        88:{1,2,4,5,7}:{(66,1),(67,1),(73,1),(108,1),(120,1),(138,1),(142,1)}
        89:{1,4,5,6}:{(68,1),(109,1),(110,1)}
        90:{1,3,5,7}:{(68,1),(69,1),(78,1),(110,1),(118,1)}
        91:{1,3,6,7}:{(70,1),(79,1)}
        92:{1,2,4,5,7}:{(71,1),(72,1),(74,1),(105,1),(112,1),(138,1),(142,1)}
        93:{1,2,3,6}:{(71,1),(112,1)}
        94:{1,3,4,6}:{(72,1),(75,1),(112,1),(114,1)}
        95:{1,3,6,7}:{(73,1),(108,1)}
        96:{2,3,4,6}:{(74,1),(75,1),(112,1),(116,1)}
        97:{3,5,6}:{(75,1),(76,1),(118,1)}
        98:{3,4,6,7}:{(75,1),(77,1),(118,1)}
        99:{1,2,4,5,7}:{(76,1),(77,1),(78,1),(83,1),(110,1),(118,1),(120,1),(140,1),(142,1)}
       100:{1,2,5,6,7}:{(78,1),(79,1),(84,1),(111,1)}
       101:{1,4,5,6}:{(81,1),(114,1),(120,1)}
       102:{1,4,6,7}:{(80,1),(82,1),(120,1)}
       103:{3,4,5,7}:{(81,1),(82,1),(83,1),(118,1),(120,1)}
       104:{2,4,5,6,7}:{(83,1),(84,1),(121,1)}
       105:{1,2,4,5}:{(85,1),(86,1),(122,1),(123,1)}
       106:{1,2,3,5,6}:{(85,1),(87,1),(93,1),(123,1),(124,1),(130,1),(145,1)}
       107:{1,3,4,6}:{(86,1),(87,1),(123,1),(126,1)}
       108:{1,3,5,7}:{(87,1),(88,1),(95,1),(126,1)}
       109:{3,4,5,6}:{(89,1),(97,1),(127,1),(128,1)}
       110:{1,4,5,7}:{(89,1),(90,1),(128,1),(129,1)}
       111:{1,3,5,6,7}:{(90,1),(91,1),(100,1),(129,1),(134,1)}
       112:{1,2,4,6}:{(92,1),(93,1),(94,1),(96,1),(130,1)}
       113:{1,2,3,6,7}:{(93,1),(95,1),(124,1),(131,1),(153,1)}
       114:{1,3,5,6}:{(94,1),(97,1),(101,1),(130,1),(132,1)}
       115:{1,3,4,6,7}:{(94,1),(95,1),(98,1),(102,1),(126,1),(131,1),(132,1)}
       116:{2,3,5,6}:{(96,1),(97,1),(127,1),(130,1),(133,1)}
       117:{2,3,4,6,7}:{(96,1),(98,1),(131,1),(133,1),(146,1),(149,1),(153,1)}
       118:{3,5,7}:{(97,1),(98,1),(99,1)}
       119:{1,2,4,5,6,7}:{(99,1),(100,1),(104,1),(129,1),(134,1),(135,1),(149,1),(150,1)}
       120:{1,4,5,7}:{(101,1),(102,1),(103,1),(132,1)}
       121:{3,4,5,6,7}:{(103,1),(104,1),(134,1),(135,1)}
       122:{2,3,4,5}:{(105,1),(136,1)}
       123:{1,2,4,6}:{(105,1),(106,1),(107,1),(136,1),(138,1)}
       124:{1,2,3,5,7}:{(106,1),(108,1),(113,1),(138,1),(142,1),(151,1)}
       125:{1,3,4,5,6}:{(107,1),(109,1),(114,1),(137,1),(139,1)}
       126:{1,3,4,7}:{(107,1),(108,1),(138,1)}
       127:{2,4,5,6}:{(109,1),(116,1),(140,1)}
       128:{3,4,5,7}:{(109,1),(110,1),(118,1),(140,1),(141,1)}
       129:{1,4,6,7}:{(110,1),(111,1),(141,1)}
       130:{1,2,5,6}:{(112,1),(114,1),(116,1),(142,1)}
       131:{1,2,4,6,7}:{(112,1),(113,1),(115,1),(117,1),(138,1),(142,1)}
       132:{1,3,5,7}:{(114,1),(115,1),(118,1),(120,1),(142,1)}
       133:{2,3,5,7}:{(116,1),(117,1),(118,1),(140,1),(142,1)}
       134:{3,5,6,7}:{(118,1),(119,1),(141,1)}
       135:{1,4,5,6,7}:{(120,1),(121,1),(143,1)}
       136:{2,3,4,6}:{(122,1),(123,1),(145,1),(146,1)}
       137:{1,2,4,5,6}:{(123,1),(125,1),(127,1),(130,1),(145,1),(147,1)}
       138:{1,2,4,7}:{(123,1),(124,1),(126,1),(146,1)}
       139:{1,3,4,5,7}:{(125,1),(126,1),(128,1),(132,1),(147,1),(148,1)}
       140:{2,4,5,7}:{(127,1),(128,1),(133,1),(149,1)}
       141:{3,4,6,7}:{(128,1),(129,1),(134,1),(149,1)}
       142:{1,2,5,7}:{(130,1),(131,1),(132,1),(133,1)}
       143:{1,3,5,6,7}:{(132,1),(134,1),(135,1),(148,1),(150,1)}
       144:{2,3,5,6,7}:{(133,1),(134,1),(149,1),(150,1),(153,1)}
       145:{2,3,5,6}:{(136,1),(137,1),(151,1)}
       146:{2,3,4,7}:{(136,1),(138,1),(151,1)}
       147:{1,2,4,5,7}:{(137,1),(138,1),(139,1),(140,1),(142,1),(151,1),(152,1)}
       148:{1,3,4,6,7}:{(139,1),(141,1),(143,1),(152,1)}
       149:{2,4,6,7}:{(140,1),(141,1),(144,1)}
       150:{1,2,5,6,7}:{(142,1),(143,1),(144,1),(152,1)}
       151:{2,3,5,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{1,2,4,6,7}:{(147,1),(148,1),(149,1),(150,1),(153,1)}
       153:{2,3,6,7}:{(151,1),(152,1)}

2172 :   0:{1,3,4,5,6}:{(2,1),(3,1),(34,1),(59,1),(88,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(20,1),(95,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(44,1),(47,1),(75,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(23,1),(74,1),(76,1)}
         4:{1,4,5,6,7}:{(1,1),(10,1),(87,1)}
         5:{2,4,5,6,7}:{(1,1),(9,1),(100,1)}
         6:{1,3,4,6,7}:{(2,1),(10,1),(12,1),(31,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(12,1),(14,1),(35,1),(58,1),(61,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(15,1)}
         9:{2,3,5,6,7}:{(5,1),(17,1),(18,1),(20,1),(93,1)}
        10:{1,3,5,6,7}:{(4,1),(6,1),(19,1),(20,1),(75,1)}
        11:{1,2,4,5,6,7}:{(4,1),(5,1),(18,1),(19,1),(20,1),(42,1),(43,1),(72,1)}
        12:{1,2,4,6,7}:{(6,1),(7,1),(19,1),(21,1),(43,1)}
        13:{1,2,3,5,6}:{(8,1),(22,1),(23,1),(48,1),(76,1),(77,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(21,1),(24,1)}
        15:{2,3,4,6}:{(8,1),(23,1),(24,1),(25,1)}
        16:{2,3,4,5,6}:{(26,1),(27,1),(59,1),(78,1),(101,1)}
        17:{2,3,4,6,7}:{(9,1),(26,1),(28,1),(31,1)}
        18:{1,2,5,6,7}:{(9,1),(28,1),(29,1),(83,1)}
        19:{1,2,5,6,7}:{(10,1),(12,1),(30,1),(61,1)}
        20:{3,5,6,7}:{(11,1),(31,1),(85,1)}
        21:{2,3,6,7}:{(12,1),(14,1)}
        22:{1,2,3,5,7}:{(13,1),(14,1),(32,1),(35,1),(61,1),(63,1)}
        23:{1,2,4,6}:{(13,1),(15,1),(34,1),(35,1),(36,1)}
        24:{2,3,4,7}:{(14,1),(15,1),(35,1)}
        25:{2,3,4,5}:{(15,1),(36,1)}
        26:{2,3,4,5,7}:{(16,1),(17,1),(38,1),(44,1),(89,1),(93,1)}
        27:{1,2,4,5,6}:{(16,1),(38,1),(39,1),(66,1),(73,1),(94,1)}
        28:{1,2,4,6,7}:{(17,1),(18,1),(38,1),(40,1),(42,1)}
        29:{1,3,5,6,7}:{(18,1),(20,1),(40,1),(42,1),(70,1)}
        30:{2,3,5,6,7}:{(19,1),(20,1),(21,1),(43,1),(46,1)}
        31:{3,4,6,7}:{(20,1),(42,1),(43,1),(44,1)}
        32:{1,2,3,6,7}:{(21,1),(22,1),(45,1),(77,1)}
        33:{2,3,4,6,7}:{(21,1),(24,1),(43,1),(45,1),(46,1),(50,1),(71,1)}
        34:{1,3,4,6}:{(23,1),(47,1),(48,1),(77,1)}
        35:{1,2,4,7}:{(22,1),(23,1),(24,1),(47,1)}
        36:{1,2,4,5}:{(23,1),(25,1),(48,1)}
        37:{2,3,4,5,7}:{(24,1),(25,1),(46,1),(49,1),(50,1),(95,1)}
        38:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(52,1),(57,1),(79,1),(83,1)}
        39:{1,3,5,6}:{(27,1),(52,1),(53,1)}
        40:{1,3,6,7}:{(28,1),(52,1)}
        41:{1,2,3,5,6,7}:{(29,1),(30,1),(32,1),(54,1),(56,1),(61,1),(83,1),(85,1),(88,1),(101,1)}
        42:{1,4,6,7}:{(29,1),(31,1),(57,1)}
        43:{2,4,6,7}:{(30,1),(31,1),(58,1)}
        44:{3,4,5,7}:{(31,1),(57,1),(58,1),(59,1),(85,1)}
        45:{1,2,4,6,7}:{(32,1),(33,1),(35,1),(60,1),(61,1),(64,1)}
        46:{2,3,5,7}:{(33,1),(58,1),(61,1),(62,1),(85,1)}
        47:{1,3,4,7}:{(34,1),(35,1),(63,1)}
        48:{1,3,5}:{(34,1),(36,1)}
        49:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(61,1),(63,1),(64,1),(87,1)}
        50:{2,3,4,6}:{(37,1),(62,1),(64,1),(102,1)}
        51:{1,2,3,5,6}:{(39,1),(65,1),(66,1),(90,1),(94,1),(103,1)}
        52:{1,3,5,7}:{(38,1),(39,1),(40,1),(67,1)}
        53:{1,3,4,6}:{(39,1),(66,1),(67,1),(68,1)}
        54:{1,2,3,6,7}:{(40,1),(65,1),(69,1),(103,1)}
        55:{1,3,4,6,7}:{(40,1),(42,1),(67,1),(69,1),(70,1),(71,1),(92,1)}
        56:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(71,1),(72,1),(97,1),(104,1)}
        57:{1,4,5,7}:{(42,1),(44,1),(70,1),(73,1)}
        58:{2,4,5,7}:{(43,1),(44,1),(46,1),(74,1)}
        59:{3,4,5,6}:{(44,1),(73,1),(74,1),(96,1)}
        60:{1,3,4,6,7}:{(45,1),(47,1),(71,1),(75,1),(77,1),(97,1)}
        61:{1,2,5,7}:{(45,1),(46,1),(75,1),(76,1)}
        62:{2,3,5,6}:{(46,1),(50,1),(74,1),(76,1),(96,1)}
        63:{1,3,5,7}:{(47,1),(48,1),(49,1),(77,1)}
        64:{1,2,4,6}:{(49,1),(50,1),(76,1),(77,1),(97,1)}
        65:{1,2,3,5,7}:{(51,1),(52,1),(54,1),(79,1),(83,1),(98,1)}
        66:{1,2,4,6}:{(51,1),(53,1),(78,1),(79,1),(80,1)}
        67:{1,3,4,7}:{(52,1),(53,1),(79,1)}
        68:{1,3,4,5}:{(53,1),(80,1)}
        69:{1,2,4,6,7}:{(54,1),(55,1),(79,1),(82,1),(83,1),(99,1)}
        70:{1,3,5,7}:{(55,1),(57,1),(83,1),(84,1),(85,1)}
        71:{3,4,6,7}:{(56,1),(85,1),(102,1)}
        72:{1,2,4,5,7}:{(56,1),(57,1),(58,1),(61,1),(83,1),(85,1),(86,1),(87,1),(100,1)}
        73:{1,4,5,6}:{(57,1),(59,1),(84,1)}
        74:{2,4,5,6}:{(58,1),(59,1),(62,1)}
        75:{1,3,5,7}:{(60,1),(61,1),(85,1),(87,1),(88,1)}
        76:{1,2,5,6}:{(61,1),(62,1),(64,1),(88,1)}
        77:{1,3,6}:{(63,1),(64,1)}
        78:{2,3,4,6}:{(66,1),(89,1),(90,1),(103,1)}
        79:{1,2,4,7}:{(65,1),(66,1),(67,1),(89,1)}
        80:{1,2,4,5}:{(66,1),(68,1),(90,1)}
        81:{1,3,4,5,7}:{(67,1),(68,1),(70,1),(91,1),(92,1),(95,1)}
        82:{2,3,4,6,7}:{(69,1),(71,1),(89,1),(93,1),(103,1),(104,1)}
        83:{1,2,5,7}:{(69,1),(70,1),(93,1),(94,1)}
        84:{1,3,5,6}:{(70,1),(73,1),(92,1),(94,1),(96,1)}
        85:{3,5,7}:{(71,1),(72,1),(96,1)}
        86:{1,2,4,5,6}:{(72,1),(73,1),(74,1),(76,1),(94,1),(96,1),(97,1),(104,1)}
        87:{1,4,5,7}:{(75,1),(95,1),(97,1)}
        88:{1,3,5,6}:{(75,1),(76,1),(77,1),(96,1),(97,1)}
        89:{2,3,4,7}:{(78,1),(79,1),(98,1)}
        90:{2,3,5}:{(78,1),(80,1)}
        91:{1,2,4,5,7}:{(79,1),(80,1),(81,1),(83,1),(98,1),(99,1),(100,1)}
        92:{1,3,4,6}:{(81,1),(84,1),(99,1),(102,1)}
        93:{2,3,5,7}:{(82,1),(83,1),(85,1),(100,1),(101,1)}
        94:{1,2,5,6}:{(83,1),(84,1),(99,1),(101,1)}
        95:{3,4,5,7}:{(85,1),(87,1),(100,1),(102,1)}
        96:{3,5,6}:{(85,1),(86,1),(102,1)}
        97:{1,4,6}:{(87,1),(88,1),(102,1)}
        98:{2,3,5,7}:{(89,1),(90,1),(91,1),(103,1)}
        99:{1,2,4,6}:{(91,1),(92,1),(94,1),(103,1),(104,1)}
       100:{2,4,5,7}:{(93,1),(95,1),(104,1)}
       101:{2,3,5,6}:{(93,1),(94,1),(96,1),(103,1),(104,1)}
       102:{3,4,6}:{(95,1),(96,1),(97,1),(104,1)}
       103:{2,3,6}:{(98,1),(99,1)}
       104:{2,4,6}:{(100,1),(101,1),(102,1)}

2173 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(34,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(43,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(33,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(8,1),(20,1),(41,1),(42,1),(43,1),(45,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(20,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(28,1),(29,1),(33,1)}
        8:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(14,1),(47,1),(48,1)}
        9:{3,4,6}:{(5,1),(6,1),(13,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(31,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(32,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(38,1),(39,1),(43,1)}
       13:{3,5,6}:{(7,1),(9,1),(20,1)}
       14:{3,4,6,7}:{(8,1),(9,1),(20,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(21,1),(25,1),(57,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(22,1),(25,1),(57,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(43,1),(58,1),(59,1)}
       18:{3,4,5,6}:{(13,1),(27,1),(28,1),(29,1),(50,1)}
       19:{1,2,4,5,6,7}:{(12,1),(30,1),(47,1),(48,1),(51,1)}
       20:{3,5,7}:{(12,1),(13,1),(14,1)}
       21:{1,3,5,6}:{(13,1),(15,1),(28,1),(31,1),(33,1),(50,1)}
       22:{2,3,5,6}:{(13,1),(16,1),(29,1),(32,1),(33,1),(50,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(31,1),(34,1),(47,1),(60,1),(61,1)}
       24:{2,3,4,6,7}:{(14,1),(16,1),(32,1),(34,1),(48,1),(60,1),(61,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(33,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,4,5,7}:{(18,1),(20,1),(37,1),(38,1),(39,1),(56,1)}
       28:{1,4,5,6}:{(18,1),(21,1),(38,1)}
       29:{2,4,5,6}:{(18,1),(22,1),(39,1)}
       30:{3,5,6,7}:{(19,1),(20,1),(37,1)}
       31:{1,3,5,7}:{(20,1),(21,1),(23,1),(38,1),(43,1),(56,1)}
       32:{2,3,5,7}:{(20,1),(22,1),(24,1),(39,1),(43,1),(56,1)}
       33:{1,2,5,6}:{(21,1),(22,1),(25,1),(43,1)}
       34:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(43,1),(45,1),(58,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(58,1)}
       37:{3,4,6,7}:{(27,1),(30,1),(47,1),(48,1),(60,1)}
       38:{1,4,5,7}:{(27,1),(28,1),(31,1),(47,1)}
       39:{2,4,5,7}:{(27,1),(29,1),(32,1),(48,1)}
       40:{1,2,4,5,6}:{(28,1),(29,1),(33,1),(49,1),(50,1),(53,1)}
       41:{1,3,5,6,7}:{(30,1),(31,1),(47,1),(51,1),(60,1)}
       42:{2,3,5,6,7}:{(30,1),(32,1),(48,1),(51,1),(60,1)}
       43:{1,2,5,7}:{(31,1),(32,1),(33,1),(34,1)}
       44:{1,2,3,5,6}:{(33,1),(35,1),(50,1),(52,1),(53,1),(54,1)}
       45:{1,2,3,6,7}:{(34,1),(35,1),(52,1),(60,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(41,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(42,1)}
       49:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(55,1),(56,1),(58,1)}
       50:{3,5,6}:{(40,1),(56,1),(57,1)}
       51:{1,2,5,6,7}:{(41,1),(42,1),(43,1),(55,1)}
       52:{1,2,3,5,7}:{(43,1),(44,1),(45,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(44,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(51,1),(60,1)}
       56:{3,5,7}:{(49,1),(50,1),(60,1),(61,1)}
       57:{3,4,6}:{(50,1),(53,1),(61,1),(62,1)}
       58:{1,2,4,7}:{(52,1),(53,1),(61,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(57,1),(59,1)}

2174 :   0:{3,4,5,6,7}:{(1,1),(2,1),(16,1),(94,1)}
         1:{1,4,5,6,7}:{(0,1),(6,1),(100,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(98,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(53,1),(54,1),(99,1)}
         4:{1,3,4,5,6}:{(10,1),(11,1),(53,1),(58,1),(101,1)}
         5:{2,3,5,6,7}:{(2,1),(12,1),(14,1),(16,1),(90,1)}
         6:{1,3,5,6,7}:{(1,1),(13,1),(15,1),(16,1),(92,1)}
         7:{1,2,4,5,6,7}:{(1,1),(2,1),(14,1),(15,1),(16,1),(35,1),(36,1),(67,1)}
         8:{2,3,4,5,7}:{(3,1),(12,1),(17,1),(37,1),(70,1),(90,1)}
         9:{1,2,4,5,6}:{(3,1),(17,1),(18,1),(39,1),(68,1),(91,1)}
        10:{1,3,4,5,7}:{(4,1),(13,1),(19,1),(37,1),(74,1),(92,1)}
        11:{1,2,4,5,6}:{(4,1),(19,1),(20,1),(43,1),(69,1),(93,1)}
        12:{2,3,4,6,7}:{(5,1),(8,1),(21,1),(25,1)}
        13:{1,3,4,6,7}:{(6,1),(10,1),(22,1),(25,1)}
        14:{1,2,5,6,7}:{(5,1),(21,1),(23,1),(79,1)}
        15:{1,2,5,6,7}:{(6,1),(22,1),(24,1),(82,1)}
        16:{3,5,6,7}:{(7,1),(25,1),(84,1)}
        17:{1,2,4,5,7}:{(8,1),(9,1),(21,1),(27,1),(51,1),(55,1),(79,1)}
        18:{1,3,5,6}:{(9,1),(27,1),(28,1)}
        19:{1,2,4,5,7}:{(10,1),(11,1),(22,1),(30,1),(52,1),(59,1),(82,1)}
        20:{2,3,5,6}:{(11,1),(30,1),(31,1)}
        21:{1,2,4,6,7}:{(12,1),(14,1),(17,1),(32,1),(35,1)}
        22:{1,2,4,6,7}:{(13,1),(15,1),(19,1),(33,1),(36,1)}
        23:{1,3,5,6,7}:{(14,1),(16,1),(32,1),(35,1),(63,1)}
        24:{2,3,5,6,7}:{(15,1),(16,1),(33,1),(36,1),(65,1)}
        25:{3,4,6,7}:{(16,1),(35,1),(36,1),(37,1)}
        26:{1,2,3,5,6}:{(18,1),(38,1),(39,1),(71,1),(91,1),(96,1)}
        27:{1,3,5,7}:{(17,1),(18,1),(32,1),(40,1)}
        28:{1,3,4,6}:{(18,1),(39,1),(40,1),(41,1)}
        29:{1,2,3,5,6}:{(20,1),(42,1),(43,1),(75,1),(93,1),(97,1)}
        30:{2,3,5,7}:{(19,1),(20,1),(33,1),(44,1)}
        31:{2,3,4,6}:{(20,1),(43,1),(44,1),(45,1)}
        32:{1,3,6,7}:{(21,1),(27,1)}
        33:{2,3,6,7}:{(22,1),(30,1)}
        34:{1,2,3,5,6,7}:{(23,1),(24,1),(46,1),(48,1),(50,1),(79,1),(82,1),(84,1),(99,1),(101,1)}
        35:{1,4,6,7}:{(23,1),(25,1),(51,1)}
        36:{2,4,6,7}:{(24,1),(25,1),(52,1)}
        37:{3,4,5,7}:{(25,1),(51,1),(52,1),(53,1),(84,1)}
        38:{1,2,3,5,7}:{(26,1),(27,1),(46,1),(55,1),(79,1),(86,1)}
        39:{1,2,4,6}:{(26,1),(28,1),(54,1),(55,1),(56,1)}
        40:{1,3,4,7}:{(27,1),(28,1),(55,1)}
        41:{1,3,4,5}:{(28,1),(56,1)}
        42:{1,2,3,5,7}:{(29,1),(30,1),(48,1),(59,1),(82,1),(88,1)}
        43:{1,2,4,6}:{(29,1),(31,1),(58,1),(59,1),(60,1)}
        44:{2,3,4,7}:{(30,1),(31,1),(59,1)}
        45:{2,3,4,5}:{(31,1),(60,1)}
        46:{1,2,3,6,7}:{(32,1),(38,1),(62,1),(96,1)}
        47:{1,3,4,6,7}:{(32,1),(35,1),(40,1),(62,1),(63,1),(66,1),(73,1)}
        48:{1,2,3,6,7}:{(33,1),(42,1),(64,1),(97,1)}
        49:{2,3,4,6,7}:{(33,1),(36,1),(44,1),(64,1),(65,1),(66,1),(77,1)}
        50:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(66,1),(67,1),(103,1),(104,1)}
        51:{1,4,5,7}:{(35,1),(37,1),(63,1),(68,1)}
        52:{2,4,5,7}:{(36,1),(37,1),(65,1),(69,1)}
        53:{3,4,5,6}:{(37,1),(68,1),(69,1),(95,1)}
        54:{2,3,4,6}:{(39,1),(70,1),(71,1),(96,1)}
        55:{1,2,4,7}:{(38,1),(39,1),(40,1),(70,1)}
        56:{1,2,4,5}:{(39,1),(41,1),(71,1)}
        57:{1,3,4,5,7}:{(40,1),(41,1),(63,1),(72,1),(73,1),(94,1)}
        58:{1,3,4,6}:{(43,1),(74,1),(75,1),(97,1)}
        59:{1,2,4,7}:{(42,1),(43,1),(44,1),(74,1)}
        60:{1,2,4,5}:{(43,1),(45,1),(75,1)}
        61:{2,3,4,5,7}:{(44,1),(45,1),(65,1),(76,1),(77,1),(94,1)}
        62:{1,2,4,6,7}:{(46,1),(47,1),(55,1),(78,1),(79,1),(87,1)}
        63:{1,3,5,7}:{(47,1),(51,1),(79,1),(80,1),(84,1)}
        64:{1,2,4,6,7}:{(48,1),(49,1),(59,1),(81,1),(82,1),(89,1)}
        65:{2,3,5,7}:{(49,1),(52,1),(82,1),(83,1),(84,1)}
        66:{3,4,6,7}:{(50,1),(84,1),(102,1)}
        67:{1,2,4,5,7}:{(50,1),(51,1),(52,1),(79,1),(82,1),(84,1),(85,1),(98,1),(100,1)}
        68:{1,4,5,6}:{(51,1),(53,1),(80,1)}
        69:{2,4,5,6}:{(52,1),(53,1),(83,1)}
        70:{2,3,4,7}:{(54,1),(55,1),(86,1)}
        71:{2,3,5}:{(54,1),(56,1)}
        72:{1,2,4,5,7}:{(55,1),(56,1),(57,1),(79,1),(86,1),(87,1),(98,1)}
        73:{1,3,4,6}:{(57,1),(80,1),(87,1),(102,1)}
        74:{1,3,4,7}:{(58,1),(59,1),(88,1)}
        75:{1,3,5}:{(58,1),(60,1)}
        76:{1,2,4,5,7}:{(59,1),(60,1),(61,1),(82,1),(88,1),(89,1),(100,1)}
        77:{2,3,4,6}:{(61,1),(83,1),(89,1),(102,1)}
        78:{2,3,4,6,7}:{(62,1),(66,1),(70,1),(90,1),(96,1),(103,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(90,1),(91,1)}
        80:{1,3,5,6}:{(63,1),(68,1),(73,1),(91,1),(95,1)}
        81:{1,3,4,6,7}:{(64,1),(66,1),(74,1),(92,1),(97,1),(104,1)}
        82:{1,2,5,7}:{(64,1),(65,1),(92,1),(93,1)}
        83:{2,3,5,6}:{(65,1),(69,1),(77,1),(93,1),(95,1)}
        84:{3,5,7}:{(66,1),(67,1),(95,1)}
        85:{1,2,4,5,6}:{(67,1),(68,1),(69,1),(91,1),(93,1),(95,1),(103,1),(104,1)}
        86:{2,3,5,7}:{(70,1),(71,1),(72,1),(96,1)}
        87:{1,2,4,6}:{(72,1),(73,1),(91,1),(96,1),(103,1)}
        88:{1,3,5,7}:{(74,1),(75,1),(76,1),(97,1)}
        89:{1,2,4,6}:{(76,1),(77,1),(93,1),(97,1),(104,1)}
        90:{2,3,5,7}:{(78,1),(79,1),(84,1),(98,1),(99,1)}
        91:{1,2,5,6}:{(79,1),(80,1),(87,1),(99,1)}
        92:{1,3,5,7}:{(81,1),(82,1),(84,1),(100,1),(101,1)}
        93:{1,2,5,6}:{(82,1),(83,1),(89,1),(101,1)}
        94:{3,4,5,7}:{(84,1),(98,1),(100,1),(102,1)}
        95:{3,5,6}:{(84,1),(85,1),(102,1)}
        96:{2,3,6}:{(86,1),(87,1)}
        97:{1,3,6}:{(88,1),(89,1)}
        98:{2,4,5,7}:{(90,1),(94,1),(103,1)}
        99:{2,3,5,6}:{(90,1),(91,1),(95,1),(96,1),(103,1)}
       100:{1,4,5,7}:{(92,1),(94,1),(104,1)}
       101:{1,3,5,6}:{(92,1),(93,1),(95,1),(97,1),(104,1)}
       102:{3,4,6}:{(94,1),(95,1),(103,1),(104,1)}
       103:{2,4,6}:{(98,1),(99,1),(102,1)}
       104:{1,4,6}:{(100,1),(101,1),(102,1)}

2175 :  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:{3,4,5,6}:{(4,1),(9,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,2,3,6,7}:{(5,1),(10,1)}
        9:{3,4,5,7}:{(6,1),(7,1),(11,1)}
       10:{1,2,4,6,7}:{(7,1),(8,1),(11,1),(12,1)}
       11:{3,4,6,7}:{(9,1),(10,1),(13,1)}
       12:{1,2,5,6,7}:{(10,1),(13,1)}
       13:{3,5,6,7}:{(11,1),(12,1),(14,1)}
       14:{4,5,6,7}:{(13,1)}

2176 :  0:{1,2,3,4,7}:{(1,1),(2,1),(33,1),(58,1)}
        1:{1,2,3,4,6}:{(0,1),(5,1),(7,1),(18,1),(20,1),(42,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        3:{1,3,4,5,7}:{(6,1),(8,1),(19,1),(25,1),(46,1)}
        4:{2,3,4,5,7}:{(6,1),(9,1),(19,1),(27,1),(46,1)}
        5:{1,2,3,5}:{(1,1),(10,1)}
        6:{1,2,4,5,7}:{(2,1),(3,1),(4,1),(10,1),(12,1),(33,1),(34,1)}
        7:{1,2,3,6}:{(2,1),(12,1)}
        8:{1,3,4,6}:{(3,1),(12,1),(14,1),(31,1)}
        9:{2,3,4,6}:{(4,1),(12,1),(16,1),(31,1)}
       10:{1,2,4,5}:{(5,1),(19,1),(20,1)}
       11:{1,2,3,5,6}:{(5,1),(7,1),(20,1),(21,1),(22,1),(42,1),(45,1),(71,1)}
       12:{1,2,4,6}:{(6,1),(7,1),(8,1),(9,1),(22,1)}
       13:{1,2,3,6,7}:{(7,1),(21,1),(23,1),(75,1),(83,1)}
       14:{1,3,5,6}:{(8,1),(22,1),(24,1),(25,1),(45,1)}
       15:{1,3,4,6,7}:{(8,1),(23,1),(25,1),(46,1),(51,1),(75,1)}
       16:{2,3,5,6}:{(9,1),(22,1),(26,1),(27,1),(45,1)}
       17:{2,3,4,6,7}:{(9,1),(23,1),(27,1),(46,1),(54,1),(75,1)}
       18:{1,2,3,4}:{(28,1)}
       19:{3,4,5}:{(10,1),(31,1)}
       20:{1,2,4,6}:{(10,1),(11,1),(31,1),(33,1)}
       21:{1,2,3,5,7}:{(11,1),(13,1),(33,1),(34,1),(58,1),(63,1),(80,1)}
       22:{1,2,5,6}:{(12,1),(14,1),(16,1),(34,1)}
       23:{1,2,4,6,7}:{(12,1),(13,1),(15,1),(17,1),(33,1),(34,1)}
       24:{1,4,5,6}:{(14,1),(35,1),(36,1)}
       25:{1,3,5,7}:{(14,1),(15,1),(34,1),(36,1),(63,1)}
       26:{2,4,5,6}:{(16,1),(38,1),(39,1)}
       27:{2,3,5,7}:{(16,1),(17,1),(34,1),(39,1),(63,1)}
       28:{1,2,3,5}:{(18,1),(41,1),(42,1)}
       29:{1,3,4,5}:{(19,1),(41,1),(43,1)}
       30:{2,3,4,5}:{(19,1),(41,1),(44,1)}
       31:{3,4,6}:{(19,1),(20,1),(45,1),(46,1)}
       32:{1,2,4,5,6}:{(20,1),(22,1),(24,1),(26,1),(45,1),(47,1),(49,1),(52,1),(71,1)}
       33:{1,2,4,7}:{(20,1),(21,1),(46,1)}
       34:{1,2,5,7}:{(22,1),(23,1),(25,1),(27,1)}
       35:{3,4,5,6}:{(24,1),(45,1),(49,1),(50,1)}
       36:{1,4,5,7}:{(24,1),(25,1),(50,1),(51,1)}
       37:{1,3,5,6,7}:{(25,1),(48,1),(51,1),(69,1),(75,1)}
       38:{3,4,5,6}:{(26,1),(45,1),(52,1),(53,1)}
       39:{2,4,5,7}:{(26,1),(27,1),(53,1),(54,1)}
       40:{2,3,5,6,7}:{(27,1),(48,1),(54,1),(70,1),(75,1)}
       41:{1,2,4,5}:{(28,1),(29,1),(30,1),(57,1)}
       42:{1,2,3,6}:{(28,1),(57,1),(58,1)}
       43:{1,3,4,6}:{(29,1),(31,1),(57,1),(59,1),(60,1)}
       44:{2,3,4,6}:{(30,1),(31,1),(57,1),(61,1),(62,1)}
       45:{3,5,6}:{(31,1),(32,1),(63,1)}
       46:{3,4,7}:{(31,1),(33,1),(63,1)}
       47:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(36,1),(39,1),(63,1),(64,1),(65,1),(67,1),(80,1)}
       48:{1,2,5,6,7}:{(34,1),(37,1),(40,1),(64,1),(78,1),(79,1)}
       49:{2,4,5,6}:{(35,1),(61,1),(65,1)}
       50:{3,4,5,7}:{(35,1),(36,1),(63,1),(65,1),(66,1)}
       51:{1,4,6,7}:{(36,1),(37,1),(66,1)}
       52:{1,4,5,6}:{(38,1),(59,1),(67,1)}
       53:{3,4,5,7}:{(38,1),(39,1),(63,1),(67,1),(68,1)}
       54:{2,4,6,7}:{(39,1),(40,1),(68,1)}
       55:{1,4,5,6,7}:{(51,1),(69,1)}
       56:{2,4,5,6,7}:{(54,1),(70,1)}
       57:{1,2,4,6}:{(41,1),(42,1),(43,1),(44,1),(71,1),(72,1)}
       58:{1,2,3,7}:{(42,1),(72,1)}
       59:{1,3,5,6}:{(43,1),(45,1),(52,1),(71,1),(73,1)}
       60:{1,3,4,7}:{(43,1),(46,1),(72,1),(73,1)}
       61:{2,3,5,6}:{(44,1),(45,1),(49,1),(71,1),(74,1)}
       62:{2,3,4,7}:{(44,1),(46,1),(72,1),(74,1)}
       63:{3,5,7}:{(45,1),(46,1),(47,1),(75,1)}
       64:{1,2,4,6,7}:{(47,1),(48,1),(51,1),(54,1),(75,1),(76,1),(77,1),(83,1)}
       65:{2,4,5,7}:{(49,1),(50,1),(74,1),(76,1)}
       66:{3,4,6,7}:{(50,1),(51,1),(69,1),(75,1),(76,1)}
       67:{1,4,5,7}:{(52,1),(53,1),(73,1),(77,1)}
       68:{3,4,6,7}:{(53,1),(54,1),(70,1),(75,1),(77,1)}
       69:{3,5,6,7}:{(55,1),(66,1),(78,1)}
       70:{3,5,6,7}:{(56,1),(68,1),(79,1)}
       71:{1,2,5,6}:{(57,1),(59,1),(61,1),(80,1)}
       72:{1,2,4,7}:{(57,1),(58,1),(60,1),(62,1),(80,1)}
       73:{1,3,5,7}:{(59,1),(60,1),(63,1),(67,1),(80,1),(81,1)}
       74:{2,3,5,7}:{(61,1),(62,1),(63,1),(65,1),(80,1),(82,1)}
       75:{3,6,7}:{(63,1),(64,1)}
       76:{2,4,6,7}:{(65,1),(66,1),(78,1),(82,1)}
       77:{1,4,6,7}:{(67,1),(68,1),(79,1),(81,1)}
       78:{2,5,6,7}:{(69,1),(76,1)}
       79:{1,5,6,7}:{(70,1),(77,1)}
       80:{1,2,5,7}:{(71,1),(72,1),(73,1),(74,1),(83,1)}
       81:{1,3,6,7}:{(73,1),(75,1),(77,1),(83,1)}
       82:{2,3,6,7}:{(74,1),(75,1),(76,1),(83,1)}
       83:{1,2,6,7}:{(80,1),(81,1),(82,1)}

2177 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{1,3,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{1,3,4,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,2,4,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{1,3,4,5,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,4,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,2,4,5,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{1,3,4,5,6}:{(6,1),(12,1),(27,1)}
       10:{1,2,3,4,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,3,5,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6}:{(8,1),(9,1),(16,1),(23,1)}
       13:{1,3,4,5,6,7}:{(9,1),(17,1),(32,1)}
       14:{1,2,3,5,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,5,7}:{(11,1),(18,1),(20,1)}
       16:{2,3,5,6}:{(11,1),(12,1),(20,1)}
       17:{1,2,4,5,6,7}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,2,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(14,1),(16,1),(23,1),(31,1)}
       20:{2,3,4,6}:{(15,1),(16,1),(23,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(26,1)}
       22:{1,3,4,5,7}:{(18,1),(27,1),(34,1)}
       23:{1,2,4,6}:{(18,1),(19,1),(20,1),(27,1)}
       24:{1,2,3,5,6,7}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,6}:{(20,1),(28,1),(30,1)}
       26:{2,3,4,6,7}:{(20,1),(21,1),(29,1),(30,1)}
       27:{1,3,4,6}:{(22,1),(23,1),(31,1)}
       28:{1,2,4,5,6}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,5,7}:{(25,1),(26,1),(33,1)}
       31:{1,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{1,3,4,6,7}:{(27,1),(29,1),(34,1)}
       33:{1,2,4,5,7}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,3,5,7}:{(31,1),(32,1),(33,1)}

2178 :   0:{1,3,4,5,6}:{(2,1),(3,1),(32,1),(61,1),(71,1)}
         1:{1,2,3,4,6}:{(4,1),(5,1),(21,1),(23,1)}
         2:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(21,1),(49,1),(55,1)}
         3:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(47,1),(78,1),(90,1)}
         4:{1,2,3,4,7}:{(1,1),(12,1),(35,1)}
         5:{1,2,3,5}:{(1,1),(10,1)}
         6:{2,3,4,5}:{(10,1),(15,1)}
         7:{2,3,5,6}:{(2,1),(15,1),(16,1)}
         8:{1,2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(35,1),(65,1),(72,1)}
         9:{1,3,4,6,7}:{(3,1),(17,1),(18,1),(73,1)}
        10:{1,2,4,5}:{(5,1),(6,1),(19,1),(21,1)}
        11:{1,2,3,4,6,7}:{(4,1),(22,1),(23,1),(50,1),(52,1),(82,1),(86,1),(120,1),(121,1)}
        12:{1,2,3,5,7}:{(4,1),(5,1),(20,1),(23,1)}
        13:{1,2,3,5,6}:{(5,1),(7,1),(21,1),(23,1),(24,1),(45,1),(49,1)}
        14:{2,3,4,5,7}:{(6,1),(20,1),(26,1),(27,1),(51,1),(56,1)}
        15:{2,3,4,6}:{(6,1),(7,1),(21,1),(27,1)}
        16:{2,3,5,7}:{(7,1),(8,1),(27,1),(28,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(28,1),(29,1),(57,1)}
        18:{1,3,5,6,7}:{(9,1),(29,1),(30,1),(58,1),(78,1)}
        19:{1,3,4,5}:{(10,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(12,1),(14,1),(31,1),(34,1),(35,1),(65,1)}
        21:{1,2,4,6}:{(10,1),(13,1),(15,1),(32,1),(35,1)}
        22:{1,2,3,5,7}:{(11,1),(36,1),(37,1),(65,1),(101,1),(135,1)}
        23:{1,2,3,6}:{(12,1),(34,1)}
        24:{1,2,3,5,7}:{(13,1),(16,1),(35,1),(38,1),(60,1),(65,1)}
        25:{2,3,4,5,6}:{(15,1),(33,1),(39,1),(40,1),(95,1)}
        26:{2,3,4,6}:{(14,1),(34,1),(40,1),(68,1)}
        27:{2,3,4,7}:{(15,1),(16,1),(35,1)}
        28:{2,3,6,7}:{(16,1),(17,1)}
        29:{1,2,5,6,7}:{(17,1),(18,1),(42,1),(65,1)}
        30:{1,4,5,6,7}:{(18,1),(44,1),(96,1)}
        31:{1,3,4,5,7}:{(19,1),(20,1),(46,1),(47,1),(51,1),(78,1)}
        32:{1,3,4,6}:{(19,1),(21,1),(45,1),(47,1)}
        33:{1,2,4,5,6}:{(21,1),(25,1),(45,1),(48,1),(49,1),(77,1)}
        34:{1,2,4,6}:{(20,1),(23,1),(26,1),(46,1),(49,1)}
        35:{1,2,4,7}:{(21,1),(24,1),(27,1),(47,1)}
        36:{1,2,4,5,7}:{(22,1),(51,1),(52,1)}
        37:{1,2,3,5,6}:{(22,1),(23,1),(49,1),(52,1),(80,1),(117,1),(120,1)}
        38:{1,2,3,6,7}:{(23,1),(24,1),(28,1),(50,1),(76,1)}
        39:{2,3,4,5,7}:{(25,1),(27,1),(48,1),(54,1),(56,1),(114,1)}
        40:{2,3,5,6}:{(26,1),(49,1),(55,1),(56,1),(80,1)}
        41:{2,3,4,6,7}:{(26,1),(27,1),(28,1),(50,1),(56,1),(57,1),(86,1)}
        42:{2,3,5,6,7}:{(28,1),(29,1),(56,1),(57,1),(58,1)}
        43:{1,2,4,5,6,7}:{(29,1),(30,1),(57,1),(58,1),(59,1),(81,1),(92,1),(93,1)}
        44:{3,4,5,6,7}:{(30,1),(58,1),(59,1),(114,1)}
        45:{1,3,5,6}:{(32,1),(33,1),(60,1)}
        46:{1,3,4,6}:{(31,1),(34,1),(61,1),(68,1)}
        47:{1,3,4,7}:{(32,1),(35,1),(60,1)}
        48:{1,2,4,5,7}:{(33,1),(35,1),(39,1),(60,1),(63,1),(65,1),(96,1)}
        49:{1,2,5,6}:{(34,1),(40,1),(61,1),(65,1)}
        50:{1,2,4,6,7}:{(34,1),(35,1),(38,1),(41,1),(62,1),(65,1)}
        51:{3,4,5,7}:{(36,1),(68,1),(101,1)}
        52:{1,2,4,6}:{(36,1),(37,1),(68,1)}
        53:{1,2,3,5,6,7}:{(37,1),(38,1),(42,1),(65,1),(69,1),(75,1),(94,1),(101,1),(131,1),(135,1),(136,1)}
        54:{2,3,4,6,7}:{(39,1),(63,1),(70,1),(127,1)}
        55:{2,4,5,6}:{(40,1),(71,1),(72,1)}
        56:{2,3,5,7}:{(40,1),(41,1),(65,1),(72,1),(101,1)}
        57:{2,4,6,7}:{(42,1),(72,1),(73,1)}
        58:{3,5,6,7}:{(43,1),(73,1),(101,1)}
        59:{2,4,5,6,7}:{(44,1),(74,1),(129,1)}
        60:{1,3,5,7}:{(45,1),(47,1),(48,1),(76,1)}
        61:{1,3,5,6}:{(46,1),(49,1),(77,1),(78,1),(80,1)}
        62:{1,3,4,6,7}:{(46,1),(47,1),(50,1),(76,1),(78,1),(86,1),(111,1)}
        63:{1,2,4,6,7}:{(48,1),(54,1),(76,1),(79,1),(111,1)}
        64:{1,2,4,5,6}:{(49,1),(52,1),(55,1),(77,1),(80,1),(81,1),(89,1),(112,1),(117,1)}
        65:{1,2,5,7}:{(49,1),(50,1),(56,1),(78,1)}
        66:{2,3,4,5,7}:{(51,1),(83,1),(84,1),(118,1),(141,1),(153,1)}
        67:{1,3,4,5,7}:{(51,1),(83,1),(85,1),(119,1),(123,1),(147,1)}
        68:{3,4,6}:{(51,1),(52,1),(80,1)}
        69:{1,2,4,6,7}:{(52,1),(53,1),(57,1),(81,1),(86,1),(92,1),(111,1),(139,1)}
        70:{2,3,5,6,7}:{(54,1),(56,1),(79,1),(87,1),(115,1)}
        71:{3,4,5,6}:{(55,1),(80,1),(89,1),(90,1)}
        72:{2,4,5,7}:{(55,1),(56,1),(57,1),(90,1)}
        73:{3,4,6,7}:{(57,1),(58,1),(90,1),(92,1)}
        74:{2,3,5,6,7}:{(58,1),(59,1),(91,1),(93,1),(118,1)}
        75:{1,3,5,6,7}:{(58,1),(92,1),(93,1),(119,1),(126,1)}
        76:{1,3,6,7}:{(60,1),(63,1)}
        77:{1,4,5,6}:{(61,1),(95,1),(96,1)}
        78:{1,3,5,7}:{(61,1),(62,1),(65,1),(96,1),(101,1)}
        79:{1,2,5,6,7}:{(63,1),(65,1),(70,1),(94,1)}
        80:{3,5,6}:{(64,1),(68,1),(101,1)}
        81:{1,2,4,5,7}:{(64,1),(65,1),(69,1),(72,1),(96,1),(101,1),(109,1),(129,1),(135,1)}
        82:{1,2,3,4,7}:{(98,1),(102,1),(151,1)}
        83:{1,2,4,5,7}:{(66,1),(67,1),(102,1),(103,1),(133,1),(135,1),(151,1)}
        84:{2,3,4,6}:{(66,1),(68,1),(99,1),(103,1)}
        85:{1,3,4,6}:{(67,1),(68,1),(100,1),(103,1)}
        86:{3,4,6,7}:{(68,1),(69,1),(101,1)}
        87:{2,4,5,6,7}:{(70,1),(72,1),(106,1)}
        88:{2,3,4,5,6}:{(71,1),(99,1),(107,1),(108,1),(149,1)}
        89:{1,4,5,6}:{(71,1),(100,1),(109,1)}
        90:{3,4,5,7}:{(71,1),(72,1),(73,1),(101,1),(109,1)}
        91:{2,3,4,6,7}:{(73,1),(74,1),(108,1),(110,1)}
        92:{1,4,6,7}:{(73,1),(75,1),(109,1)}
        93:{1,2,5,6,7}:{(74,1),(75,1),(110,1),(135,1)}
        94:{1,3,5,6,7}:{(76,1),(78,1),(79,1),(111,1),(115,1)}
        95:{3,4,5,6}:{(77,1),(80,1),(112,1),(114,1)}
        96:{1,4,5,7}:{(77,1),(78,1),(111,1),(114,1)}
        97:{1,2,4,5,6,7}:{(79,1),(81,1),(87,1),(111,1),(115,1),(122,1),(139,1),(144,1)}
        98:{1,2,3,4,6}:{(82,1),(116,1),(120,1),(145,1)}
        99:{2,3,5,6}:{(80,1),(84,1),(112,1),(117,1),(118,1)}
       100:{1,3,5,6}:{(80,1),(85,1),(89,1),(117,1),(119,1)}
       101:{3,5,7}:{(80,1),(81,1),(86,1)}
       102:{1,2,3,5,7}:{(82,1),(83,1),(116,1),(120,1)}
       103:{1,2,4,6}:{(83,1),(84,1),(85,1),(117,1),(120,1)}
       104:{2,3,4,6,7}:{(84,1),(86,1),(118,1),(121,1),(139,1),(152,1),(153,1)}
       105:{1,3,4,6,7}:{(85,1),(86,1),(92,1),(119,1),(121,1),(126,1),(147,1)}
       106:{3,4,5,6,7}:{(87,1),(90,1),(115,1),(122,1)}
       107:{1,2,4,5,6}:{(88,1),(89,1),(117,1),(124,1),(125,1),(145,1)}
       108:{2,3,4,5,7}:{(88,1),(90,1),(91,1),(118,1),(125,1),(153,1)}
       109:{1,4,5,7}:{(89,1),(90,1),(92,1),(119,1)}
       110:{1,2,4,6,7}:{(91,1),(92,1),(93,1),(125,1),(126,1)}
       111:{1,4,6,7}:{(94,1),(96,1),(127,1)}
       112:{2,4,5,6}:{(95,1),(99,1),(129,1)}
       113:{1,3,4,5,6}:{(95,1),(100,1),(128,1),(130,1),(137,1)}
       114:{3,4,5,7}:{(95,1),(96,1),(101,1),(127,1),(129,1)}
       115:{3,5,6,7}:{(97,1),(101,1),(127,1)}
       116:{1,2,3,5}:{(98,1),(133,1)}
       117:{1,2,5,6}:{(99,1),(100,1),(103,1),(135,1)}
       118:{2,3,5,7}:{(99,1),(101,1),(104,1),(129,1),(135,1)}
       119:{1,3,5,7}:{(100,1),(101,1),(105,1),(109,1),(135,1)}
       120:{1,2,3,6}:{(102,1),(103,1)}
       121:{1,2,4,6,7}:{(103,1),(104,1),(105,1),(135,1),(136,1),(151,1)}
       122:{1,4,5,6,7}:{(106,1),(109,1),(132,1)}
       123:{1,3,4,5}:{(133,1),(137,1)}
       124:{1,3,5,6}:{(107,1),(137,1),(138,1)}
       125:{1,2,4,5,7}:{(107,1),(108,1),(109,1),(110,1),(135,1),(138,1),(151,1)}
       126:{1,3,6,7}:{(110,1),(138,1)}
       127:{3,4,6,7}:{(111,1),(114,1),(115,1),(139,1)}
       128:{1,2,4,5,6}:{(112,1),(113,1),(117,1),(142,1),(143,1),(145,1)}
       129:{2,4,5,7}:{(112,1),(114,1),(118,1),(139,1)}
       130:{1,3,4,5,7}:{(113,1),(114,1),(119,1),(140,1),(143,1),(147,1)}
       131:{2,3,5,6,7}:{(115,1),(118,1),(139,1),(144,1),(152,1)}
       132:{1,3,5,6,7}:{(115,1),(119,1),(122,1),(140,1),(144,1)}
       133:{1,2,4,5}:{(116,1),(123,1),(141,1),(145,1)}
       134:{1,2,3,5,6}:{(116,1),(117,1),(120,1),(124,1),(142,1),(145,1),(146,1)}
       135:{1,2,5,7}:{(117,1),(118,1),(119,1),(121,1)}
       136:{1,2,3,6,7}:{(120,1),(121,1),(126,1),(146,1),(152,1)}
       137:{1,3,4,6}:{(123,1),(124,1),(145,1),(147,1)}
       138:{1,3,5,7}:{(124,1),(125,1),(126,1),(147,1)}
       139:{2,4,6,7}:{(127,1),(129,1),(131,1)}
       140:{1,3,4,6,7}:{(127,1),(130,1),(132,1),(148,1)}
       141:{2,3,4,5}:{(133,1),(149,1)}
       142:{2,3,5,6}:{(128,1),(149,1),(150,1)}
       143:{1,2,4,5,7}:{(128,1),(129,1),(130,1),(135,1),(148,1),(150,1),(151,1)}
       144:{1,2,5,6,7}:{(131,1),(132,1),(135,1),(148,1)}
       145:{1,2,4,6}:{(133,1),(134,1),(137,1),(149,1),(151,1)}
       146:{1,2,3,5,7}:{(134,1),(135,1),(136,1),(138,1),(150,1),(151,1)}
       147:{1,3,4,7}:{(137,1),(138,1),(151,1)}
       148:{1,2,4,6,7}:{(139,1),(140,1),(143,1),(144,1),(152,1)}
       149:{2,3,4,6}:{(141,1),(142,1),(145,1),(153,1)}
       150:{2,3,5,7}:{(142,1),(143,1),(152,1),(153,1)}
       151:{1,2,4,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{2,3,6,7}:{(148,1),(150,1)}
       153:{2,3,4,7}:{(149,1),(150,1),(151,1)}

2179 :   0:{1,3,4,5,6}:{(1,1),(2,1),(20,1),(68,1),(75,1)}
         1:{1,3,4,5,7}:{(0,1),(3,1),(4,1),(30,1),(55,1),(62,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(60,1),(63,1)}
         3:{1,3,4,6,7}:{(1,1),(8,1),(9,1),(50,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(47,1),(51,1)}
         5:{2,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(31,1),(56,1),(60,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(37,1),(80,1)}
         8:{1,3,5,6,7}:{(3,1),(14,1),(16,1),(37,1),(55,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(38,1)}
        10:{2,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{2,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(44,1),(47,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(8,1),(67,1)}
        15:{2,4,5,6,7}:{(7,1),(24,1),(91,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(47,1)}
        17:{2,3,6,7}:{(9,1),(10,1)}
        18:{2,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{2,3,4,5}:{(11,1),(23,1)}
        20:{1,3,4,6}:{(13,1),(30,1),(31,1),(56,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(34,1),(56,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(30,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(31,1)}
        24:{2,3,5,6,7}:{(15,1),(32,1),(36,1),(37,1),(84,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(36,1),(37,1),(38,1),(59,1),(61,1)}
        26:{2,3,5,6,7}:{(16,1),(17,1),(37,1),(38,1),(39,1)}
        27:{2,3,4,6,7}:{(17,1),(18,1),(34,1),(38,1),(39,1),(40,1),(58,1)}
        28:{2,3,4,5,7}:{(18,1),(19,1),(35,1),(39,1),(40,1),(80,1)}
        29:{2,3,4,5,6}:{(41,1),(42,1),(75,1),(87,1),(95,1)}
        30:{1,3,4,7}:{(20,1),(22,1),(44,1)}
        31:{1,3,5}:{(20,1),(23,1)}
        32:{2,3,4,6,7}:{(24,1),(41,1),(45,1),(50,1)}
        33:{1,2,3,5,6,7}:{(21,1),(26,1),(46,1),(47,1),(49,1),(68,1),(69,1),(72,1),(93,1),(95,1)}
        34:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(43,1),(47,1),(48,1)}
        35:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(44,1),(47,1),(48,1),(67,1)}
        36:{1,2,5,6,7}:{(24,1),(45,1),(49,1),(93,1)}
        37:{3,5,6,7}:{(25,1),(50,1),(72,1)}
        38:{2,4,6,7}:{(26,1),(50,1),(51,1)}
        39:{2,3,5,7}:{(27,1),(47,1),(51,1),(52,1),(72,1)}
        40:{2,3,4,6}:{(28,1),(48,1),(52,1),(92,1)}
        41:{2,3,4,5,7}:{(29,1),(32,1),(53,1),(62,1),(84,1),(96,1)}
        42:{1,2,4,5,6}:{(29,1),(53,1),(54,1),(77,1),(86,1),(101,1)}
        43:{1,3,4,6,7}:{(30,1),(34,1),(55,1),(56,1),(58,1),(81,1)}
        44:{1,3,5,7}:{(30,1),(31,1),(35,1),(56,1)}
        45:{1,2,4,6,7}:{(32,1),(36,1),(53,1),(57,1),(61,1)}
        46:{1,2,4,6,7}:{(33,1),(38,1),(58,1),(59,1),(61,1),(81,1),(100,1)}
        47:{1,2,5,7}:{(34,1),(39,1),(55,1),(60,1)}
        48:{1,2,4,6}:{(35,1),(40,1),(56,1),(60,1),(81,1)}
        49:{1,3,5,6,7}:{(36,1),(37,1),(57,1),(61,1),(83,1)}
        50:{3,4,6,7}:{(37,1),(38,1),(61,1),(62,1)}
        51:{2,4,5,7}:{(38,1),(39,1),(62,1),(63,1)}
        52:{2,3,5,6}:{(39,1),(40,1),(60,1),(63,1),(85,1)}
        53:{1,2,4,5,7}:{(41,1),(42,1),(45,1),(65,1),(74,1),(88,1),(93,1)}
        54:{1,3,5,6}:{(42,1),(65,1),(66,1)}
        55:{1,3,5,7}:{(43,1),(47,1),(67,1),(68,1),(72,1)}
        56:{1,3,6}:{(44,1),(48,1)}
        57:{1,3,6,7}:{(45,1),(65,1)}
        58:{3,4,6,7}:{(46,1),(72,1),(92,1)}
        59:{1,2,4,5,7}:{(46,1),(47,1),(51,1),(67,1),(72,1),(73,1),(74,1),(91,1),(93,1)}
        60:{1,2,5,6}:{(47,1),(48,1),(52,1),(68,1)}
        61:{1,4,6,7}:{(49,1),(50,1),(74,1)}
        62:{3,4,5,7}:{(50,1),(51,1),(72,1),(74,1),(75,1)}
        63:{2,4,5,6}:{(51,1),(52,1),(75,1)}
        64:{1,2,3,5,6}:{(54,1),(76,1),(77,1),(97,1),(101,1),(104,1)}
        65:{1,3,5,7}:{(53,1),(54,1),(57,1),(78,1)}
        66:{1,3,4,6}:{(54,1),(77,1),(78,1),(79,1)}
        67:{1,4,5,7}:{(55,1),(80,1),(81,1)}
        68:{1,3,5,6}:{(55,1),(56,1),(60,1),(81,1),(85,1)}
        69:{1,2,3,6,7}:{(57,1),(76,1),(82,1),(104,1)}
        70:{1,3,4,6,7}:{(57,1),(58,1),(61,1),(78,1),(82,1),(83,1),(99,1)}
        71:{2,3,4,6,7}:{(58,1),(82,1),(84,1),(96,1),(100,1),(104,1)}
        72:{3,5,7}:{(58,1),(59,1),(85,1)}
        73:{1,2,4,5,6}:{(59,1),(60,1),(63,1),(81,1),(85,1),(86,1),(100,1),(101,1)}
        74:{1,4,5,7}:{(61,1),(62,1),(83,1),(86,1)}
        75:{3,4,5,6}:{(62,1),(63,1),(85,1),(86,1)}
        76:{1,2,3,5,7}:{(64,1),(65,1),(69,1),(88,1),(93,1),(102,1)}
        77:{1,2,4,6}:{(64,1),(66,1),(87,1),(88,1),(89,1)}
        78:{1,3,4,7}:{(65,1),(66,1),(88,1)}
        79:{1,3,4,5}:{(66,1),(89,1)}
        80:{3,4,5,7}:{(67,1),(72,1),(91,1),(92,1)}
        81:{1,4,6}:{(67,1),(68,1),(92,1)}
        82:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(88,1),(93,1),(103,1)}
        83:{1,3,5,7}:{(70,1),(72,1),(74,1),(93,1),(94,1)}
        84:{2,3,5,7}:{(71,1),(72,1),(91,1),(93,1),(95,1)}
        85:{3,5,6}:{(72,1),(73,1),(92,1)}
        86:{1,4,5,6}:{(74,1),(75,1),(94,1)}
        87:{2,3,4,6}:{(77,1),(96,1),(97,1),(104,1)}
        88:{1,2,4,7}:{(76,1),(77,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(77,1),(79,1),(97,1)}
        90:{1,3,4,5,7}:{(78,1),(79,1),(80,1),(83,1),(98,1),(99,1)}
        91:{2,4,5,7}:{(80,1),(84,1),(100,1)}
        92:{3,4,6}:{(80,1),(81,1),(85,1),(100,1)}
        93:{1,2,5,7}:{(82,1),(83,1),(84,1),(101,1)}
        94:{1,3,5,6}:{(83,1),(85,1),(86,1),(99,1),(101,1)}
        95:{2,3,5,6}:{(84,1),(85,1),(100,1),(101,1),(104,1)}
        96:{2,3,4,7}:{(87,1),(88,1),(102,1)}
        97:{2,3,5}:{(87,1),(89,1)}
        98:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{1,3,4,6}:{(90,1),(92,1),(94,1),(103,1)}
       100:{2,4,6}:{(91,1),(92,1),(95,1)}
       101:{1,2,5,6}:{(93,1),(94,1),(95,1),(103,1)}
       102:{2,3,5,7}:{(96,1),(97,1),(98,1),(104,1)}
       103:{1,2,4,6}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{2,3,6}:{(102,1),(103,1)}

2180 :   0:{1,3,4,5,6}:{(2,1),(3,1),(38,1),(63,1),(92,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(22,1),(97,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(47,1),(50,1),(79,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(26,1),(77,1),(80,1)}
         4:{1,4,5,6,7}:{(1,1),(10,1),(91,1)}
         5:{2,4,5,6,7}:{(1,1),(11,1),(101,1)}
         6:{1,3,4,6,7}:{(2,1),(10,1),(13,1),(33,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(13,1),(14,1),(36,1),(61,1),(65,1)}
         8:{2,3,5,6}:{(3,1),(14,1),(16,1)}
         9:{2,3,4,5,6}:{(17,1),(18,1),(63,1),(71,1),(102,1)}
        10:{1,3,5,6,7}:{(4,1),(6,1),(20,1),(22,1),(79,1)}
        11:{2,3,5,6,7}:{(5,1),(19,1),(21,1),(22,1),(95,1)}
        12:{1,2,4,5,6,7}:{(4,1),(5,1),(20,1),(21,1),(22,1),(45,1),(46,1),(76,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(23,1),(45,1)}
        14:{2,3,5,7}:{(7,1),(8,1),(23,1),(25,1)}
        15:{1,2,3,5,6}:{(8,1),(24,1),(26,1),(53,1),(80,1),(81,1)}
        16:{2,3,4,6}:{(8,1),(25,1),(26,1),(27,1)}
        17:{2,3,4,5,7}:{(9,1),(19,1),(28,1),(47,1),(82,1),(95,1)}
        18:{1,2,4,5,6}:{(9,1),(28,1),(29,1),(56,1),(78,1),(96,1)}
        19:{2,3,4,6,7}:{(11,1),(17,1),(30,1),(33,1)}
        20:{1,2,5,6,7}:{(10,1),(13,1),(31,1),(65,1)}
        21:{1,2,5,6,7}:{(11,1),(30,1),(32,1),(87,1)}
        22:{3,5,6,7}:{(12,1),(33,1),(89,1)}
        23:{2,3,6,7}:{(13,1),(14,1)}
        24:{1,2,3,5,7}:{(14,1),(15,1),(34,1),(36,1),(65,1),(67,1)}
        25:{2,3,4,7}:{(14,1),(16,1),(36,1)}
        26:{1,2,4,6}:{(15,1),(16,1),(36,1),(38,1),(39,1)}
        27:{2,3,4,5}:{(16,1),(39,1)}
        28:{1,2,4,5,7}:{(17,1),(18,1),(30,1),(40,1),(62,1),(69,1),(87,1)}
        29:{1,3,5,6}:{(18,1),(40,1),(42,1)}
        30:{1,2,4,6,7}:{(19,1),(21,1),(28,1),(43,1),(46,1)}
        31:{2,3,5,6,7}:{(20,1),(22,1),(23,1),(45,1),(49,1)}
        32:{1,3,5,6,7}:{(21,1),(22,1),(43,1),(46,1),(74,1)}
        33:{3,4,6,7}:{(22,1),(45,1),(46,1),(47,1)}
        34:{1,2,3,6,7}:{(23,1),(24,1),(48,1),(81,1)}
        35:{2,3,4,6,7}:{(23,1),(25,1),(45,1),(48,1),(49,1),(52,1),(75,1)}
        36:{1,2,4,7}:{(24,1),(25,1),(26,1),(50,1)}
        37:{2,3,4,5,7}:{(25,1),(27,1),(49,1),(51,1),(52,1),(97,1)}
        38:{1,3,4,6}:{(26,1),(50,1),(53,1),(81,1)}
        39:{1,2,4,5}:{(26,1),(27,1),(53,1)}
        40:{1,3,5,7}:{(28,1),(29,1),(43,1),(55,1)}
        41:{1,2,3,5,6}:{(29,1),(54,1),(56,1),(85,1),(96,1),(100,1)}
        42:{1,3,4,6}:{(29,1),(55,1),(56,1),(57,1)}
        43:{1,3,6,7}:{(30,1),(40,1)}
        44:{1,2,3,5,6,7}:{(31,1),(32,1),(34,1),(58,1),(60,1),(65,1),(87,1),(89,1),(92,1),(102,1)}
        45:{2,4,6,7}:{(31,1),(33,1),(61,1)}
        46:{1,4,6,7}:{(32,1),(33,1),(62,1)}
        47:{3,4,5,7}:{(33,1),(61,1),(62,1),(63,1),(89,1)}
        48:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(64,1),(65,1),(68,1)}
        49:{2,3,5,7}:{(35,1),(61,1),(65,1),(66,1),(89,1)}
        50:{1,3,4,7}:{(36,1),(38,1),(67,1)}
        51:{1,2,4,5,7}:{(36,1),(37,1),(39,1),(65,1),(67,1),(68,1),(91,1)}
        52:{2,3,4,6}:{(37,1),(66,1),(68,1),(103,1)}
        53:{1,3,5}:{(38,1),(39,1)}
        54:{1,2,3,5,7}:{(40,1),(41,1),(58,1),(69,1),(87,1),(93,1)}
        55:{1,3,4,7}:{(40,1),(42,1),(69,1)}
        56:{1,2,4,6}:{(41,1),(42,1),(69,1),(71,1),(72,1)}
        57:{1,3,4,5}:{(42,1),(72,1)}
        58:{1,2,3,6,7}:{(43,1),(54,1),(73,1),(100,1)}
        59:{1,3,4,6,7}:{(43,1),(46,1),(55,1),(73,1),(74,1),(75,1),(84,1)}
        60:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(75,1),(76,1),(99,1),(104,1)}
        61:{2,4,5,7}:{(45,1),(47,1),(49,1),(77,1)}
        62:{1,4,5,7}:{(46,1),(47,1),(74,1),(78,1)}
        63:{3,4,5,6}:{(47,1),(77,1),(78,1),(98,1)}
        64:{1,3,4,6,7}:{(48,1),(50,1),(75,1),(79,1),(81,1),(99,1)}
        65:{1,2,5,7}:{(48,1),(49,1),(79,1),(80,1)}
        66:{2,3,5,6}:{(49,1),(52,1),(77,1),(80,1),(98,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(53,1),(81,1)}
        68:{1,2,4,6}:{(51,1),(52,1),(80,1),(81,1),(99,1)}
        69:{1,2,4,7}:{(54,1),(55,1),(56,1),(82,1)}
        70:{1,3,4,5,7}:{(55,1),(57,1),(74,1),(83,1),(84,1),(97,1)}
        71:{2,3,4,6}:{(56,1),(82,1),(85,1),(100,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(85,1)}
        73:{1,2,4,6,7}:{(58,1),(59,1),(69,1),(86,1),(87,1),(94,1)}
        74:{1,3,5,7}:{(59,1),(62,1),(87,1),(88,1),(89,1)}
        75:{3,4,6,7}:{(60,1),(89,1),(103,1)}
        76:{1,2,4,5,7}:{(60,1),(61,1),(62,1),(65,1),(87,1),(89,1),(90,1),(91,1),(101,1)}
        77:{2,4,5,6}:{(61,1),(63,1),(66,1)}
        78:{1,4,5,6}:{(62,1),(63,1),(88,1)}
        79:{1,3,5,7}:{(64,1),(65,1),(89,1),(91,1),(92,1)}
        80:{1,2,5,6}:{(65,1),(66,1),(68,1),(92,1)}
        81:{1,3,6}:{(67,1),(68,1)}
        82:{2,3,4,7}:{(69,1),(71,1),(93,1)}
        83:{1,2,4,5,7}:{(69,1),(70,1),(72,1),(87,1),(93,1),(94,1),(101,1)}
        84:{1,3,4,6}:{(70,1),(88,1),(94,1),(103,1)}
        85:{2,3,5}:{(71,1),(72,1)}
        86:{2,3,4,6,7}:{(73,1),(75,1),(82,1),(95,1),(100,1),(104,1)}
        87:{1,2,5,7}:{(73,1),(74,1),(95,1),(96,1)}
        88:{1,3,5,6}:{(74,1),(78,1),(84,1),(96,1),(98,1)}
        89:{3,5,7}:{(75,1),(76,1),(98,1)}
        90:{1,2,4,5,6}:{(76,1),(77,1),(78,1),(80,1),(96,1),(98,1),(99,1),(104,1)}
        91:{1,4,5,7}:{(79,1),(97,1),(99,1)}
        92:{1,3,5,6}:{(79,1),(80,1),(81,1),(98,1),(99,1)}
        93:{2,3,5,7}:{(82,1),(83,1),(85,1),(100,1)}
        94:{1,2,4,6}:{(83,1),(84,1),(96,1),(100,1),(104,1)}
        95:{2,3,5,7}:{(86,1),(87,1),(89,1),(101,1),(102,1)}
        96:{1,2,5,6}:{(87,1),(88,1),(94,1),(102,1)}
        97:{3,4,5,7}:{(89,1),(91,1),(101,1),(103,1)}
        98:{3,5,6}:{(89,1),(90,1),(103,1)}
        99:{1,4,6}:{(91,1),(92,1),(103,1)}
       100:{2,3,6}:{(93,1),(94,1)}
       101:{2,4,5,7}:{(95,1),(97,1),(104,1)}
       102:{2,3,5,6}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{3,4,6}:{(97,1),(98,1),(99,1),(104,1)}
       104:{2,4,6}:{(101,1),(102,1),(103,1)}

2181 :  0:{2,3,4,5,7}:{(3,1),(4,1),(17,1),(38,1),(64,1)}
        1:{1,3,4,5,7}:{(3,1),(5,1),(19,1),(38,1),(64,1)}
        2:{1,2,3,4,7}:{(6,1),(7,1),(50,1),(83,1)}
        3:{1,2,4,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(26,1),(50,1)}
        4:{2,3,4,6}:{(0,1),(8,1),(10,1),(51,1)}
        5:{1,3,4,6}:{(1,1),(8,1),(12,1),(51,1)}
        6:{1,2,3,5,7}:{(2,1),(3,1),(13,1),(14,1)}
        7:{1,2,3,4,6}:{(2,1),(13,1),(14,1),(37,1),(81,1),(82,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(5,1),(13,1),(16,1)}
        9:{2,3,4,6,7}:{(4,1),(15,1),(17,1),(34,1),(61,1),(64,1)}
       10:{2,3,5,6}:{(4,1),(16,1),(17,1),(18,1),(40,1)}
       11:{1,3,4,6,7}:{(5,1),(15,1),(19,1),(35,1),(61,1),(64,1)}
       12:{1,3,5,6}:{(5,1),(16,1),(19,1),(20,1),(40,1)}
       13:{1,2,3,6}:{(6,1),(8,1)}
       14:{1,2,3,5}:{(7,1),(25,1)}
       15:{1,2,4,6,7}:{(8,1),(9,1),(11,1),(23,1),(26,1),(50,1)}
       16:{1,2,5,6}:{(8,1),(10,1),(12,1),(26,1)}
       17:{2,3,5,7}:{(9,1),(10,1),(26,1),(28,1),(54,1)}
       18:{2,4,5,6}:{(10,1),(28,1),(29,1)}
       19:{1,3,5,7}:{(11,1),(12,1),(26,1),(30,1),(54,1)}
       20:{1,4,5,6}:{(12,1),(30,1),(31,1)}
       21:{2,3,5,6,7}:{(17,1),(33,1),(34,1),(45,1),(61,1)}
       22:{1,3,5,6,7}:{(19,1),(33,1),(35,1),(60,1),(61,1)}
       23:{1,2,3,6,7}:{(13,1),(15,1),(36,1),(61,1),(79,1)}
       24:{1,2,3,5,6}:{(13,1),(14,1),(16,1),(36,1),(37,1),(40,1),(70,1),(81,1)}
       25:{1,2,4,5}:{(14,1),(37,1),(38,1)}
       26:{1,2,5,7}:{(15,1),(16,1),(17,1),(19,1)}
       27:{1,2,4,5,6}:{(16,1),(18,1),(20,1),(37,1),(39,1),(40,1),(42,1),(44,1),(70,1)}
       28:{2,4,5,7}:{(17,1),(18,1),(34,1),(41,1)}
       29:{3,4,5,6}:{(18,1),(40,1),(41,1),(42,1)}
       30:{1,4,5,7}:{(19,1),(20,1),(35,1),(43,1)}
       31:{3,4,5,6}:{(20,1),(40,1),(43,1),(44,1)}
       32:{2,4,5,6,7}:{(34,1),(45,1)}
       33:{1,2,5,6,7}:{(21,1),(22,1),(26,1),(47,1),(59,1),(71,1)}
       34:{2,4,6,7}:{(21,1),(28,1),(48,1)}
       35:{1,4,6,7}:{(22,1),(30,1),(49,1)}
       36:{1,2,3,5,7}:{(23,1),(24,1),(26,1),(50,1),(54,1),(78,1),(83,1)}
       37:{1,2,4,6}:{(24,1),(25,1),(50,1),(51,1)}
       38:{3,4,5}:{(25,1),(51,1)}
       39:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(30,1),(47,1),(50,1),(54,1),(57,1),(58,1),(78,1)}
       40:{3,5,6}:{(27,1),(51,1),(54,1)}
       41:{3,4,5,7}:{(28,1),(29,1),(48,1),(54,1),(57,1)}
       42:{1,4,5,6}:{(29,1),(55,1),(57,1)}
       43:{3,4,5,7}:{(30,1),(31,1),(49,1),(54,1),(58,1)}
       44:{2,4,5,6}:{(31,1),(56,1),(58,1)}
       45:{3,5,6,7}:{(32,1),(48,1),(59,1)}
       46:{1,4,5,6,7}:{(35,1),(60,1)}
       47:{1,2,4,6,7}:{(33,1),(34,1),(35,1),(39,1),(61,1),(62,1),(63,1),(79,1)}
       48:{3,4,6,7}:{(34,1),(41,1),(45,1),(61,1),(62,1)}
       49:{3,4,6,7}:{(35,1),(43,1),(60,1),(61,1),(63,1)}
       50:{1,2,4,7}:{(36,1),(37,1),(64,1)}
       51:{3,4,6}:{(37,1),(38,1),(40,1),(64,1)}
       52:{1,3,4,5}:{(38,1),(65,1),(67,1)}
       53:{2,3,4,5}:{(38,1),(66,1),(67,1)}
       54:{3,5,7}:{(39,1),(40,1),(61,1),(64,1)}
       55:{1,3,5,6}:{(40,1),(42,1),(65,1),(68,1),(70,1)}
       56:{2,3,5,6}:{(40,1),(44,1),(66,1),(69,1),(70,1)}
       57:{1,4,5,7}:{(41,1),(42,1),(62,1),(68,1)}
       58:{2,4,5,7}:{(43,1),(44,1),(63,1),(69,1)}
       59:{1,5,6,7}:{(45,1),(62,1)}
       60:{3,5,6,7}:{(46,1),(49,1),(71,1)}
       61:{3,6,7}:{(47,1),(54,1)}
       62:{1,4,6,7}:{(48,1),(57,1),(59,1),(72,1)}
       63:{2,4,6,7}:{(49,1),(58,1),(71,1),(73,1)}
       64:{3,4,7}:{(50,1),(51,1),(54,1)}
       65:{1,3,4,6}:{(51,1),(52,1),(55,1),(74,1),(76,1)}
       66:{2,3,4,6}:{(51,1),(53,1),(56,1),(75,1),(76,1)}
       67:{1,2,4,5}:{(52,1),(53,1),(76,1),(77,1)}
       68:{1,3,5,7}:{(54,1),(55,1),(57,1),(72,1),(74,1),(78,1)}
       69:{2,3,5,7}:{(54,1),(56,1),(58,1),(73,1),(75,1),(78,1)}
       70:{1,2,5,6}:{(55,1),(56,1),(76,1),(78,1)}
       71:{2,5,6,7}:{(60,1),(63,1)}
       72:{1,3,6,7}:{(61,1),(62,1),(68,1),(79,1)}
       73:{2,3,6,7}:{(61,1),(63,1),(69,1),(79,1)}
       74:{1,3,4,7}:{(64,1),(65,1),(68,1),(80,1)}
       75:{2,3,4,7}:{(64,1),(66,1),(69,1),(80,1)}
       76:{1,2,4,6}:{(65,1),(66,1),(67,1),(70,1),(80,1),(81,1)}
       77:{1,2,3,5}:{(67,1),(81,1),(82,1)}
       78:{1,2,5,7}:{(68,1),(69,1),(70,1),(79,1),(80,1)}
       79:{1,2,6,7}:{(72,1),(73,1),(78,1)}
       80:{1,2,4,7}:{(74,1),(75,1),(76,1),(78,1),(83,1)}
       81:{1,2,3,6}:{(76,1),(77,1),(83,1)}
       82:{1,2,3,4}:{(77,1)}
       83:{1,2,3,7}:{(80,1),(81,1)}

2182 :  0:{1,2,3,4,7}:{(1,1),(2,1),(29,1),(82,1)}
        1:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        2:{1,2,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(74,1),(75,1)}
        3:{1,3,4,5,7}:{(5,1),(8,1),(22,1),(23,1),(43,1)}
        4:{2,3,4,5,7}:{(5,1),(9,1),(22,1),(25,1),(43,1)}
        5:{1,2,4,5,7}:{(1,1),(3,1),(4,1),(10,1),(13,1),(27,1),(29,1)}
        6:{1,2,3,6}:{(1,1),(10,1)}
        7:{1,2,3,5}:{(2,1),(13,1)}
        8:{1,3,4,6}:{(3,1),(10,1),(15,1),(30,1)}
        9:{2,3,4,6}:{(4,1),(10,1),(17,1),(30,1)}
       10:{1,2,4,6}:{(5,1),(6,1),(8,1),(9,1),(19,1)}
       11:{1,2,3,6,7}:{(6,1),(18,1),(20,1),(69,1),(83,1)}
       12:{1,2,3,5,6}:{(6,1),(7,1),(19,1),(20,1),(21,1),(42,1),(72,1),(74,1)}
       13:{1,2,4,5}:{(7,1),(21,1),(22,1)}
       14:{1,3,4,6,7}:{(8,1),(18,1),(23,1),(43,1),(47,1),(69,1)}
       15:{1,3,5,6}:{(8,1),(19,1),(23,1),(24,1),(42,1)}
       16:{2,3,4,6,7}:{(9,1),(18,1),(25,1),(43,1),(50,1),(69,1)}
       17:{2,3,5,6}:{(9,1),(19,1),(25,1),(26,1),(42,1)}
       18:{1,2,4,6,7}:{(10,1),(11,1),(14,1),(16,1),(27,1),(29,1)}
       19:{1,2,5,6}:{(10,1),(15,1),(17,1),(27,1)}
       20:{1,2,3,5,7}:{(11,1),(12,1),(27,1),(29,1),(56,1),(81,1),(82,1)}
       21:{1,2,4,6}:{(12,1),(13,1),(29,1),(30,1)}
       22:{3,4,5}:{(13,1),(30,1)}
       23:{1,3,5,7}:{(14,1),(15,1),(27,1),(34,1),(56,1)}
       24:{1,4,5,6}:{(15,1),(34,1),(35,1)}
       25:{2,3,5,7}:{(16,1),(17,1),(27,1),(37,1),(56,1)}
       26:{2,4,5,6}:{(17,1),(37,1),(38,1)}
       27:{1,2,5,7}:{(18,1),(19,1),(23,1),(25,1)}
       28:{1,2,4,5,6}:{(19,1),(21,1),(24,1),(26,1),(41,1),(42,1),(49,1),(52,1),(72,1)}
       29:{1,2,4,7}:{(20,1),(21,1),(43,1)}
       30:{3,4,6}:{(21,1),(22,1),(42,1),(43,1)}
       31:{1,3,4,5}:{(22,1),(44,1),(46,1)}
       32:{2,3,4,5}:{(22,1),(45,1),(46,1)}
       33:{1,3,5,6,7}:{(23,1),(40,1),(47,1),(68,1),(69,1)}
       34:{1,4,5,7}:{(23,1),(24,1),(47,1),(48,1)}
       35:{3,4,5,6}:{(24,1),(42,1),(48,1),(49,1)}
       36:{2,3,5,6,7}:{(25,1),(40,1),(50,1),(53,1),(69,1)}
       37:{2,4,5,7}:{(25,1),(26,1),(50,1),(51,1)}
       38:{3,4,5,6}:{(26,1),(42,1),(51,1),(52,1)}
       39:{2,4,5,6,7}:{(50,1),(53,1)}
       40:{1,2,5,6,7}:{(27,1),(33,1),(36,1),(55,1),(67,1),(78,1)}
       41:{1,2,4,5,7}:{(27,1),(28,1),(29,1),(34,1),(37,1),(55,1),(56,1),(64,1),(66,1),(81,1)}
       42:{3,5,6}:{(28,1),(30,1),(56,1)}
       43:{3,4,7}:{(29,1),(30,1),(56,1)}
       44:{1,3,4,6}:{(30,1),(31,1),(57,1),(59,1),(61,1)}
       45:{2,3,4,6}:{(30,1),(32,1),(58,1),(60,1),(61,1)}
       46:{1,2,4,5}:{(31,1),(32,1),(61,1),(62,1)}
       47:{1,4,6,7}:{(33,1),(34,1),(63,1)}
       48:{3,4,5,7}:{(34,1),(35,1),(56,1),(63,1),(64,1)}
       49:{2,4,5,6}:{(35,1),(58,1),(64,1)}
       50:{2,4,6,7}:{(36,1),(37,1),(65,1)}
       51:{3,4,5,7}:{(37,1),(38,1),(56,1),(65,1),(66,1)}
       52:{1,4,5,6}:{(38,1),(57,1),(66,1)}
       53:{3,5,6,7}:{(39,1),(65,1),(67,1)}
       54:{1,4,5,6,7}:{(47,1),(68,1)}
       55:{1,2,4,6,7}:{(40,1),(41,1),(47,1),(50,1),(69,1),(76,1),(77,1),(83,1)}
       56:{3,5,7}:{(41,1),(42,1),(43,1),(69,1)}
       57:{1,3,5,6}:{(42,1),(44,1),(52,1),(70,1),(72,1)}
       58:{2,3,5,6}:{(42,1),(45,1),(49,1),(71,1),(72,1)}
       59:{1,3,4,7}:{(43,1),(44,1),(70,1),(73,1)}
       60:{2,3,4,7}:{(43,1),(45,1),(71,1),(73,1)}
       61:{1,2,4,6}:{(44,1),(45,1),(46,1),(72,1),(73,1),(74,1)}
       62:{1,2,3,5}:{(46,1),(74,1),(75,1)}
       63:{3,4,6,7}:{(47,1),(48,1),(68,1),(69,1),(76,1)}
       64:{2,4,5,7}:{(48,1),(49,1),(71,1),(76,1)}
       65:{3,4,6,7}:{(50,1),(51,1),(53,1),(69,1),(77,1)}
       66:{1,4,5,7}:{(51,1),(52,1),(70,1),(77,1)}
       67:{1,5,6,7}:{(53,1),(77,1)}
       68:{3,5,6,7}:{(54,1),(63,1),(78,1)}
       69:{3,6,7}:{(55,1),(56,1)}
       70:{1,3,5,7}:{(56,1),(57,1),(59,1),(66,1),(79,1),(81,1)}
       71:{2,3,5,7}:{(56,1),(58,1),(60,1),(64,1),(80,1),(81,1)}
       72:{1,2,5,6}:{(57,1),(58,1),(61,1),(81,1)}
       73:{1,2,4,7}:{(59,1),(60,1),(61,1),(81,1),(82,1)}
       74:{1,2,3,6}:{(61,1),(62,1),(82,1)}
       75:{1,2,3,4}:{(62,1)}
       76:{2,4,6,7}:{(63,1),(64,1),(78,1),(80,1)}
       77:{1,4,6,7}:{(65,1),(66,1),(67,1),(79,1)}
       78:{2,5,6,7}:{(68,1),(76,1)}
       79:{1,3,6,7}:{(69,1),(70,1),(77,1),(83,1)}
       80:{2,3,6,7}:{(69,1),(71,1),(76,1),(83,1)}
       81:{1,2,5,7}:{(70,1),(71,1),(72,1),(73,1),(83,1)}
       82:{1,2,3,7}:{(73,1),(74,1)}
       83:{1,2,6,7}:{(79,1),(80,1),(81,1)}

2183 :   0:{1,2,3,5,6,7}:{(2,1),(14,1),(20,1),(48,1),(56,1),(57,1),(58,1),(59,1),(66,1),(68,1),(103,1),(105,1),(114,1),(118,1),(144,1)}
         1:{1,2,4,5,6,7}:{(3,1),(13,1),(18,1),(19,1),(20,1),(65,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(83,1),(84,1),(96,1),(129,1),(137,1),(140,1),(159,1)}
         3:{3,5,6,7}:{(1,1),(7,1),(31,1),(94,1)}
         4:{1,2,4,5,6,7}:{(12,1),(13,1),(46,1),(47,1),(48,1),(102,1)}
         5:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(54,1),(55,1),(58,1),(155,1)}
         6:{3,4,6,7}:{(2,1),(14,1),(53,1),(66,1),(103,1),(120,1),(146,1),(154,1)}
         7:{3,4,6,7}:{(3,1),(17,1),(18,1),(19,1),(53,1),(66,1),(120,1)}
         8:{1,3,5,6,7}:{(3,1),(18,1),(20,1),(21,1),(56,1),(66,1),(118,1)}
         9:{2,3,5,6,7}:{(3,1),(19,1),(20,1),(57,1),(61,1),(66,1),(68,1)}
        10:{1,3,4,6,7}:{(18,1),(21,1),(22,1),(23,1),(66,1),(120,1)}
        11:{1,3,4,5,7}:{(21,1),(23,1),(24,1),(54,1),(107,1),(113,1),(120,1),(148,1),(157,1)}
        12:{3,5,6,7}:{(4,1),(25,1),(31,1),(127,1)}
        13:{1,2,4,5,6}:{(5,1),(31,1),(83,1),(84,1),(86,1)}
        14:{3,5,7}:{(5,1),(6,1),(31,1),(166,1)}
        15:{1,3,4,6,7}:{(6,1),(32,1),(34,1),(78,1),(83,1),(92,1),(129,1),(130,1),(135,1),(136,1),(140,1),(165,1)}
        16:{2,3,4,6,7}:{(6,1),(33,1),(34,1),(42,1),(84,1),(96,1),(97,1),(125,1),(135,1),(136,1),(159,1),(164,1)}
        17:{3,4,5,7}:{(7,1),(36,1),(37,1),(38,1),(94,1)}
        18:{1,4,6,7}:{(7,1),(8,1),(37,1),(83,1),(140,1)}
        19:{2,4,6,7}:{(7,1),(9,1),(38,1),(84,1),(96,1)}
        20:{1,2,5,6,7}:{(8,1),(9,1),(39,1),(41,1),(86,1),(91,1)}
        21:{1,3,5,7}:{(10,1),(37,1),(40,1),(41,1),(94,1)}
        22:{1,2,4,6,7}:{(10,1),(41,1),(42,1),(43,1),(96,1)}
        23:{1,3,4,6}:{(11,1),(40,1),(43,1),(83,1),(135,1),(141,1)}
        24:{1,2,4,5,7}:{(11,1),(41,1),(43,1),(44,1),(89,1),(96,1),(138,1),(142,1)}
        25:{3,4,6,7}:{(12,1),(45,1),(46,1),(47,1),(53,1),(103,1),(146,1)}
        26:{1,3,5,6,7}:{(12,1),(46,1),(48,1),(56,1),(98,1),(103,1),(105,1)}
        27:{2,3,5,6,7}:{(12,1),(47,1),(48,1),(49,1),(57,1),(103,1),(144,1)}
        28:{2,3,4,6,7}:{(47,1),(49,1),(50,1),(51,1),(103,1),(146,1)}
        29:{2,3,4,5,7}:{(49,1),(51,1),(52,1),(55,1),(70,1),(113,1),(122,1),(146,1),(169,1)}
        30:{3,4,5,7}:{(14,1),(53,1),(54,1),(55,1),(113,1),(120,1),(146,1),(157,1),(169,1)}
        31:{3,5,6}:{(13,1),(14,1),(53,1)}
        32:{1,3,5,7}:{(14,1),(15,1),(54,1),(56,1),(58,1),(113,1),(148,1),(172,1)}
        33:{2,3,5,7}:{(14,1),(16,1),(55,1),(57,1),(58,1),(113,1),(122,1),(171,1)}
        34:{1,2,4,6,7}:{(15,1),(16,1),(58,1),(59,1),(112,1),(115,1),(116,1),(170,1)}
        35:{2,3,4,6,7}:{(19,1),(61,1),(62,1),(66,1),(110,1),(120,1)}
        36:{3,4,5,6}:{(17,1),(53,1),(63,1),(64,1),(119,1),(169,1)}
        37:{1,4,5,7}:{(17,1),(18,1),(21,1),(63,1)}
        38:{2,4,5,7}:{(17,1),(19,1),(61,1),(64,1)}
        39:{1,2,4,6,7}:{(18,1),(19,1),(20,1),(65,1),(66,1),(112,1)}
        40:{1,3,5,6}:{(21,1),(23,1),(63,1),(67,1),(119,1),(148,1)}
        41:{1,2,5,7}:{(21,1),(22,1),(67,1),(68,1)}
        42:{2,3,6,7}:{(22,1),(66,1),(68,1),(69,1)}
        43:{1,2,4,6}:{(23,1),(24,1),(67,1),(69,1),(121,1)}
        44:{2,3,5,7}:{(24,1),(69,1),(70,1),(113,1),(122,1)}
        45:{3,4,5,7}:{(25,1),(72,1),(73,1),(74,1),(127,1)}
        46:{1,4,6,7}:{(25,1),(26,1),(73,1),(83,1),(129,1)}
        47:{2,4,6,7}:{(25,1),(27,1),(74,1),(84,1),(159,1)}
        48:{1,2,5,6,7}:{(26,1),(27,1),(75,1),(77,1),(86,1),(124,1)}
        49:{2,3,5,7}:{(28,1),(74,1),(76,1),(77,1),(127,1)}
        50:{1,2,4,6,7}:{(28,1),(77,1),(78,1),(79,1),(129,1)}
        51:{2,3,4,6}:{(29,1),(76,1),(79,1),(84,1),(135,1),(160,1)}
        52:{1,2,4,5,7}:{(29,1),(77,1),(79,1),(80,1),(89,1),(129,1),(138,1),(161,1)}
        53:{3,4,6}:{(30,1),(31,1),(83,1),(84,1),(135,1)}
        54:{1,4,5,7}:{(30,1),(32,1),(83,1),(129,1),(140,1),(161,1),(167,1)}
        55:{2,4,5,7}:{(30,1),(33,1),(84,1),(96,1),(142,1),(159,1),(173,1)}
        56:{1,3,5,6}:{(31,1),(32,1),(83,1),(86,1),(135,1)}
        57:{2,3,5,6}:{(31,1),(33,1),(84,1),(86,1),(135,1)}
        58:{1,2,5,7}:{(32,1),(33,1),(34,1),(86,1),(138,1),(174,1)}
        59:{1,2,3,6,7}:{(34,1),(42,1),(78,1),(87,1),(88,1),(92,1),(125,1),(135,1),(162,1)}
        60:{1,2,3,5,7}:{(44,1),(80,1),(88,1),(89,1),(138,1)}
        61:{2,3,5,7}:{(35,1),(38,1),(90,1),(91,1),(94,1)}
        62:{1,2,4,6,7}:{(35,1),(91,1),(92,1),(133,1),(140,1)}
        63:{1,4,5,6}:{(36,1),(37,1),(40,1),(83,1),(161,1)}
        64:{2,4,5,6}:{(36,1),(38,1),(84,1),(90,1),(173,1)}
        65:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(41,1),(91,1),(93,1),(94,1),(96,1),(140,1)}
        66:{3,6,7}:{(39,1),(94,1),(135,1)}
        67:{1,2,5,6}:{(40,1),(41,1),(43,1),(95,1),(138,1)}
        68:{2,3,5,7}:{(41,1),(42,1),(94,1),(95,1),(96,1)}
        69:{2,3,6}:{(43,1),(44,1),(135,1)}
        70:{2,3,4,7}:{(44,1),(89,1),(96,1),(97,1),(136,1)}
        71:{1,3,4,6,7}:{(46,1),(98,1),(99,1),(103,1),(108,1),(146,1)}
        72:{3,4,5,6}:{(45,1),(53,1),(100,1),(101,1),(145,1),(157,1)}
        73:{1,4,5,7}:{(45,1),(46,1),(98,1),(100,1)}
        74:{2,4,5,7}:{(45,1),(47,1),(49,1),(101,1)}
        75:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(102,1),(103,1),(112,1)}
        76:{2,3,5,6}:{(49,1),(51,1),(101,1),(104,1),(122,1),(145,1)}
        77:{1,2,5,7}:{(49,1),(50,1),(104,1),(105,1)}
        78:{1,3,6,7}:{(50,1),(103,1),(105,1),(106,1)}
        79:{1,2,4,6}:{(51,1),(52,1),(104,1),(106,1),(147,1)}
        80:{1,3,5,7}:{(52,1),(106,1),(107,1),(113,1),(148,1)}
        81:{1,3,4,5,7}:{(54,1),(98,1),(108,1),(109,1),(113,1),(146,1),(153,1),(169,1),(172,1)}
        82:{2,3,4,5,7}:{(55,1),(61,1),(110,1),(111,1),(113,1),(120,1),(151,1),(157,1),(171,1)}
        83:{1,4,6}:{(53,1),(54,1),(56,1)}
        84:{2,4,6}:{(53,1),(55,1),(57,1)}
        85:{1,2,4,5,7}:{(54,1),(55,1),(58,1),(112,1),(113,1),(115,1),(155,1)}
        86:{1,2,5,6}:{(56,1),(57,1),(58,1),(112,1)}
        87:{1,2,3,5,7}:{(58,1),(59,1),(68,1),(105,1),(113,1),(114,1),(115,1),(118,1),(144,1)}
        88:{1,2,3,6}:{(60,1),(69,1),(106,1),(116,1)}
        89:{1,2,4,7}:{(60,1),(70,1),(107,1),(116,1)}
        90:{2,3,5,6}:{(61,1),(64,1),(110,1),(117,1),(119,1),(171,1)}
        91:{1,2,5,7}:{(61,1),(62,1),(117,1),(118,1)}
        92:{1,3,6,7}:{(62,1),(66,1),(118,1),(152,1)}
        93:{1,2,4,5,6}:{(63,1),(64,1),(65,1),(67,1),(112,1),(117,1),(119,1),(121,1),(155,1),(156,1)}
        94:{3,5,7}:{(65,1),(66,1),(119,1),(120,1)}
        95:{2,3,5,6}:{(67,1),(68,1),(69,1),(119,1),(121,1),(122,1)}
        96:{2,4,7}:{(68,1),(120,1),(121,1)}
        97:{2,3,4,6}:{(69,1),(70,1),(116,1),(121,1),(122,1),(154,1)}
        98:{1,3,5,7}:{(71,1),(73,1),(123,1),(124,1),(127,1)}
        99:{1,2,4,6,7}:{(71,1),(124,1),(125,1),(131,1),(159,1)}
       100:{1,4,5,6}:{(72,1),(73,1),(83,1),(123,1),(167,1)}
       101:{2,4,5,6}:{(72,1),(74,1),(76,1),(84,1),(142,1)}
       102:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(77,1),(124,1),(126,1),(127,1),(129,1),(159,1)}
       103:{3,6,7}:{(75,1),(127,1),(135,1)}
       104:{1,2,5,6}:{(76,1),(77,1),(79,1),(128,1),(138,1)}
       105:{1,3,5,7}:{(77,1),(78,1),(127,1),(128,1),(129,1)}
       106:{1,3,6}:{(79,1),(80,1),(135,1)}
       107:{1,3,4,7}:{(80,1),(89,1),(129,1),(130,1),(136,1)}
       108:{1,3,4,6}:{(81,1),(83,1),(123,1),(131,1),(135,1),(160,1)}
       109:{1,2,4,5,7}:{(81,1),(124,1),(131,1),(132,1),(159,1),(163,1),(173,1),(174,1)}
       110:{2,3,4,6}:{(82,1),(84,1),(90,1),(133,1),(135,1),(141,1)}
       111:{1,2,4,5,7}:{(82,1),(91,1),(133,1),(134,1),(140,1),(163,1),(167,1),(174,1)}
       112:{1,2,4,6}:{(83,1),(84,1),(85,1),(86,1),(135,1)}
       113:{3,5,7}:{(85,1),(135,1),(136,1),(166,1)}
       114:{1,2,3,5,6}:{(86,1),(87,1),(88,1),(95,1),(128,1),(135,1),(137,1),(138,1),(139,1),(158,1),(162,1),(166,1),(174,1)}
       115:{1,2,4,7}:{(87,1),(96,1),(129,1),(136,1),(137,1),(140,1),(159,1)}
       116:{1,2,4,6}:{(88,1),(89,1),(97,1),(130,1),(138,1)}
       117:{1,2,5,6}:{(90,1),(91,1),(133,1),(139,1),(174,1)}
       118:{1,3,5,7}:{(91,1),(92,1),(94,1),(139,1),(140,1)}
       119:{3,5,6}:{(93,1),(94,1),(135,1),(141,1),(166,1)}
       120:{3,4,7}:{(94,1),(96,1),(140,1),(141,1)}
       121:{2,4,6}:{(95,1),(96,1),(141,1),(142,1)}
       122:{2,3,5}:{(97,1),(138,1),(142,1),(166,1)}
       123:{1,3,5,6}:{(98,1),(100,1),(108,1),(143,1),(145,1),(172,1)}
       124:{1,2,5,7}:{(98,1),(99,1),(143,1),(144,1)}
       125:{2,3,6,7}:{(99,1),(103,1),(144,1),(150,1)}
       126:{1,2,4,5,6}:{(100,1),(101,1),(102,1),(104,1),(112,1),(143,1),(145,1),(147,1),(155,1),(168,1)}
       127:{3,5,7}:{(102,1),(103,1),(145,1),(146,1)}
       128:{1,3,5,6}:{(104,1),(105,1),(106,1),(145,1),(147,1),(148,1)}
       129:{1,4,7}:{(105,1),(146,1),(147,1)}
       130:{1,3,4,6}:{(106,1),(107,1),(116,1),(147,1),(148,1),(154,1)}
       131:{1,2,4,6}:{(108,1),(109,1),(143,1),(150,1),(168,1)}
       132:{2,3,5,7}:{(109,1),(113,1),(150,1),(151,1),(171,1)}
       133:{1,2,4,6}:{(110,1),(111,1),(117,1),(152,1),(156,1)}
       134:{1,3,5,7}:{(111,1),(113,1),(152,1),(153,1),(172,1)}
       135:{3,6}:{(112,1),(113,1)}
       136:{3,4,7}:{(113,1),(115,1),(154,1)}
       137:{1,2,4,6}:{(114,1),(115,1),(121,1),(147,1),(154,1),(155,1),(156,1),(168,1)}
       138:{1,2,5}:{(116,1),(122,1),(148,1)}
       139:{1,3,5,6}:{(117,1),(118,1),(119,1),(152,1),(156,1),(172,1)}
       140:{1,4,7}:{(118,1),(120,1),(156,1)}
       141:{3,4,6}:{(119,1),(120,1),(121,1),(156,1),(157,1)}
       142:{2,4,5}:{(121,1),(122,1),(157,1)}
       143:{1,2,5,6}:{(123,1),(124,1),(131,1),(158,1),(174,1)}
       144:{2,3,5,7}:{(124,1),(125,1),(127,1),(158,1),(159,1)}
       145:{3,5,6}:{(126,1),(127,1),(135,1),(160,1),(166,1)}
       146:{3,4,7}:{(127,1),(129,1),(159,1),(160,1)}
       147:{1,4,6}:{(128,1),(129,1),(160,1),(161,1)}
       148:{1,3,5}:{(130,1),(138,1),(161,1),(166,1)}
       149:{1,2,3,5,7}:{(132,1),(134,1),(162,1),(163,1),(174,1)}
       150:{2,3,6}:{(131,1),(132,1),(135,1)}
       151:{2,3,4,7}:{(132,1),(136,1),(159,1),(163,1),(164,1)}
       152:{1,3,6}:{(133,1),(134,1),(135,1)}
       153:{1,3,4,7}:{(134,1),(136,1),(140,1),(163,1),(165,1)}
       154:{3,4,6}:{(135,1),(136,1),(137,1),(166,1)}
       155:{1,2,4,5}:{(137,1),(138,1),(142,1),(161,1),(166,1),(167,1),(173,1),(174,1)}
       156:{1,4,6}:{(139,1),(140,1),(141,1),(167,1)}
       157:{3,4,5}:{(141,1),(142,1),(166,1),(167,1)}
       158:{2,3,5,6}:{(143,1),(144,1),(145,1),(150,1),(168,1),(171,1)}
       159:{2,4,7}:{(144,1),(146,1),(168,1)}
       160:{3,4,6}:{(145,1),(146,1),(147,1),(168,1),(169,1)}
       161:{1,4,5}:{(147,1),(148,1),(169,1)}
       162:{1,2,3,6}:{(149,1),(150,1),(152,1),(170,1)}
       163:{1,2,4,7}:{(149,1),(151,1),(153,1),(170,1)}
       164:{2,3,4,6}:{(150,1),(151,1),(154,1),(168,1),(170,1),(171,1)}
       165:{1,3,4,6}:{(152,1),(153,1),(154,1),(156,1),(170,1),(172,1)}
       166:{3,5}:{(154,1),(155,1)}
       167:{1,4,5}:{(156,1),(157,1),(172,1)}
       168:{2,4,6}:{(158,1),(159,1),(160,1),(173,1)}
       169:{3,4,5}:{(160,1),(161,1),(166,1),(173,1)}
       170:{1,2,4,6}:{(162,1),(163,1),(164,1),(165,1),(174,1)}
       171:{2,3,5}:{(164,1),(166,1),(173,1),(174,1)}
       172:{1,3,5}:{(165,1),(166,1),(167,1),(174,1)}
       173:{2,4,5}:{(168,1),(169,1),(171,1)}
       174:{1,2,5}:{(170,1),(171,1),(172,1)}

2184 :  0:{1,2,3,4,6,7}:{(1,1),(4,1),(6,1),(17,1),(21,1),(41,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(32,1),(51,1)}
        2:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,5,6}:{(1,1),(6,1),(17,1),(20,1),(40,1)}
        4:{1,2,3,4,7}:{(8,1),(9,1),(47,1)}
        5:{3,4,5,7}:{(2,1),(12,1),(32,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(12,1)}
        7:{1,2,3,5,6,7}:{(3,1),(14,1),(27,1),(32,1),(51,1),(52,1),(53,1)}
        8:{1,2,3,4,6}:{(4,1),(15,1),(17,1),(35,1)}
        9:{1,2,3,5,7}:{(4,1),(15,1),(16,1),(17,1)}
       10:{1,3,4,5,7}:{(5,1),(16,1),(18,1),(34,1),(42,1),(55,1)}
       11:{2,3,4,5,7}:{(5,1),(16,1),(19,1),(34,1),(43,1),(55,1)}
       12:{3,4,6}:{(5,1),(6,1),(20,1)}
       13:{1,2,4,5,6}:{(6,1),(20,1),(22,1),(37,1),(38,1),(40,1)}
       14:{1,2,4,6,7}:{(6,1),(7,1),(21,1),(22,1),(57,1),(58,1)}
       15:{1,2,3,5}:{(8,1),(23,1)}
       16:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(47,1),(51,1)}
       17:{1,2,3,6}:{(9,1),(26,1)}
       18:{1,3,4,6}:{(10,1),(12,1),(26,1),(28,1),(45,1)}
       19:{2,3,4,6}:{(11,1),(12,1),(26,1),(30,1),(45,1)}
       20:{3,5,6}:{(12,1),(13,1),(32,1)}
       21:{3,4,6,7}:{(12,1),(14,1),(32,1)}
       22:{1,2,4,5,7}:{(13,1),(14,1),(32,1),(48,1),(49,1),(51,1)}
       23:{1,2,4,5}:{(15,1),(34,1),(35,1)}
       24:{1,2,3,5,6}:{(15,1),(17,1),(35,1),(36,1),(40,1),(54,1)}
       25:{3,4,5,6}:{(20,1),(37,1),(38,1),(39,1),(54,1)}
       26:{1,2,4,6}:{(16,1),(17,1),(18,1),(19,1),(40,1)}
       27:{1,2,3,6,7}:{(17,1),(36,1),(41,1),(62,1)}
       28:{1,3,5,6}:{(18,1),(20,1),(37,1),(40,1),(42,1),(54,1)}
       29:{1,3,4,6,7}:{(18,1),(21,1),(41,1),(42,1),(55,1),(57,1),(62,1)}
       30:{2,3,5,6}:{(19,1),(20,1),(38,1),(40,1),(43,1),(54,1)}
       31:{2,3,4,6,7}:{(19,1),(21,1),(41,1),(43,1),(55,1),(58,1),(62,1)}
       32:{3,5,7}:{(20,1),(21,1),(22,1)}
       33:{1,2,4,5,6,7}:{(22,1),(44,1),(57,1),(58,1),(59,1)}
       34:{3,4,5}:{(23,1),(45,1)}
       35:{1,2,4,6}:{(23,1),(24,1),(45,1),(47,1)}
       36:{1,2,3,5,7}:{(24,1),(27,1),(47,1),(51,1),(60,1)}
       37:{1,4,5,6}:{(25,1),(28,1),(48,1)}
       38:{2,4,5,6}:{(25,1),(30,1),(49,1)}
       39:{3,4,5,7}:{(25,1),(32,1),(48,1),(49,1),(50,1),(60,1)}
       40:{1,2,5,6}:{(26,1),(28,1),(30,1),(51,1)}
       41:{1,2,4,6,7}:{(26,1),(27,1),(29,1),(31,1),(47,1),(51,1)}
       42:{1,3,5,7}:{(28,1),(29,1),(32,1),(48,1),(51,1),(60,1)}
       43:{2,3,5,7}:{(30,1),(31,1),(32,1),(49,1),(51,1),(60,1)}
       44:{3,5,6,7}:{(32,1),(33,1),(50,1)}
       45:{3,4,6}:{(34,1),(35,1),(54,1),(55,1)}
       46:{1,2,4,5,6}:{(35,1),(37,1),(38,1),(40,1),(54,1),(56,1)}
       47:{1,2,4,7}:{(35,1),(36,1),(55,1)}
       48:{1,4,5,7}:{(37,1),(39,1),(42,1),(57,1)}
       49:{2,4,5,7}:{(38,1),(39,1),(43,1),(58,1)}
       50:{3,4,6,7}:{(39,1),(44,1),(57,1),(58,1),(62,1)}
       51:{1,2,5,7}:{(40,1),(41,1),(42,1),(43,1)}
       52:{1,3,5,6,7}:{(42,1),(44,1),(57,1),(59,1),(62,1)}
       53:{2,3,5,6,7}:{(43,1),(44,1),(58,1),(59,1),(62,1)}
       54:{3,5,6}:{(45,1),(46,1),(60,1)}
       55:{3,4,7}:{(45,1),(47,1),(60,1)}
       56:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(49,1),(51,1),(60,1),(61,1)}
       57:{1,4,6,7}:{(48,1),(50,1),(52,1)}
       58:{2,4,6,7}:{(49,1),(50,1),(53,1)}
       59:{1,2,5,6,7}:{(51,1),(52,1),(53,1),(61,1)}
       60:{3,5,7}:{(54,1),(55,1),(56,1),(62,1)}
       61:{1,2,4,6,7}:{(56,1),(57,1),(58,1),(59,1),(62,1)}
       62:{3,6,7}:{(60,1),(61,1)}

2185 :   0:{1,3,4,5,6}:{(1,1),(2,1),(35,1),(117,1),(130,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(54,1),(96,1),(112,1)}
         2:{1,2,4,5,6}:{(0,1),(5,1),(6,1),(20,1),(102,1),(113,1)}
         3:{2,3,4,5,6}:{(7,1),(8,1),(15,1),(92,1),(145,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(90,1)}
         5:{1,2,4,5,7}:{(1,1),(2,1),(13,1),(14,1),(37,1),(80,1),(91,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(15,1)}
         7:{2,3,4,5,7}:{(3,1),(16,1),(17,1),(29,1),(70,1),(132,1)}
         8:{1,2,4,5,6}:{(3,1),(17,1),(18,1),(20,1),(102,1),(133,1)}
         9:{1,2,3,5,6}:{(6,1),(18,1),(19,1),(20,1),(22,1),(64,1),(102,1)}
        10:{1,2,3,4,6}:{(20,1),(21,1),(22,1),(64,1)}
        11:{3,4,5,6,7}:{(25,1),(26,1),(68,1),(132,1)}
        12:{1,3,5,6,7}:{(4,1),(25,1),(27,1),(68,1),(96,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(27,1),(28,1),(69,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(28,1),(29,1)}
        15:{2,3,4,6}:{(6,1),(20,1),(29,1),(30,1)}
        16:{2,3,4,6,7}:{(7,1),(32,1),(33,1),(115,1)}
        17:{1,2,4,5,7}:{(7,1),(8,1),(33,1),(34,1),(37,1),(80,1),(116,1)}
        18:{1,3,5,6}:{(8,1),(34,1),(35,1)}
        19:{1,2,3,5,7}:{(9,1),(14,1),(34,1),(36,1),(37,1),(80,1)}
        20:{1,2,4,6}:{(9,1),(15,1),(35,1),(37,1),(38,1)}
        21:{1,2,3,4,7}:{(10,1),(37,1),(42,1)}
        22:{1,2,3,5}:{(10,1),(38,1)}
        23:{1,3,4,5,6}:{(39,1),(43,1),(88,1),(145,1),(148,1)}
        24:{2,3,4,5,6}:{(40,1),(44,1),(87,1),(130,1),(147,1)}
        25:{1,4,5,6,7}:{(11,1),(12,1),(116,1)}
        26:{2,4,5,6,7}:{(11,1),(45,1),(144,1)}
        27:{1,2,5,6,7}:{(12,1),(13,1),(47,1),(80,1)}
        28:{2,3,6,7}:{(13,1),(14,1)}
        29:{2,3,4,7}:{(14,1),(15,1),(37,1)}
        30:{2,3,4,5}:{(15,1),(38,1)}
        31:{3,4,5,6,7}:{(50,1),(51,1),(94,1),(112,1)}
        32:{2,3,5,6,7}:{(16,1),(51,1),(52,1),(70,1),(94,1)}
        33:{1,2,4,6,7}:{(16,1),(17,1),(52,1),(53,1),(95,1)}
        34:{1,3,5,7}:{(17,1),(18,1),(53,1),(54,1)}
        35:{1,3,4,6}:{(18,1),(20,1),(54,1),(55,1)}
        36:{1,2,3,6,7}:{(19,1),(28,1),(53,1),(59,1),(64,1)}
        37:{1,2,4,7}:{(19,1),(20,1),(29,1),(54,1)}
        38:{1,2,4,5}:{(20,1),(22,1),(30,1),(55,1)}
        39:{1,3,4,5,7}:{(23,1),(56,1),(61,1),(105,1),(132,1),(136,1)}
        40:{2,3,4,5,7}:{(24,1),(57,1),(62,1),(104,1),(112,1),(135,1)}
        41:{1,2,3,4,6,7}:{(21,1),(59,1),(63,1),(64,1),(100,1),(107,1),(134,1),(138,1),(153,1)}
        42:{1,2,3,5,7}:{(21,1),(22,1),(60,1),(64,1)}
        43:{1,2,4,5,6}:{(23,1),(61,1),(65,1),(108,1),(151,1),(152,1)}
        44:{1,2,4,5,6}:{(24,1),(62,1),(66,1),(108,1),(143,1),(152,1)}
        45:{2,3,5,6,7}:{(26,1),(57,1),(67,1),(68,1),(135,1)}
        46:{1,2,4,5,6,7}:{(25,1),(26,1),(27,1),(67,1),(68,1),(69,1),(101,1),(111,1)}
        47:{2,3,5,6,7}:{(27,1),(28,1),(68,1),(69,1),(70,1)}
        48:{2,3,4,6,7}:{(28,1),(29,1),(59,1),(69,1),(70,1),(71,1),(100,1)}
        49:{2,3,4,5,7}:{(29,1),(30,1),(60,1),(70,1),(71,1),(106,1)}
        50:{1,4,5,6,7}:{(31,1),(72,1),(129,1)}
        51:{2,4,5,6,7}:{(31,1),(32,1),(91,1)}
        52:{1,2,5,6,7}:{(32,1),(33,1),(74,1),(80,1)}
        53:{1,3,6,7}:{(33,1),(34,1)}
        54:{1,3,4,7}:{(34,1),(35,1),(37,1)}
        55:{1,3,4,5}:{(35,1),(38,1)}
        56:{1,3,4,6,7}:{(39,1),(72,1),(77,1),(115,1)}
        57:{2,3,4,6,7}:{(40,1),(45,1),(78,1),(90,1)}
        58:{1,2,3,5,6,7}:{(36,1),(47,1),(74,1),(79,1),(80,1),(85,1),(89,1),(114,1),(118,1),(121,1),(146,1)}
        59:{1,2,4,6,7}:{(36,1),(37,1),(48,1),(75,1),(80,1),(81,1)}
        60:{1,2,4,5,7}:{(37,1),(38,1),(42,1),(49,1),(76,1),(80,1),(81,1)}
        61:{1,2,4,5,7}:{(39,1),(43,1),(77,1),(82,1),(123,1),(144,1),(146,1)}
        62:{1,2,4,5,7}:{(40,1),(44,1),(78,1),(83,1),(123,1),(129,1),(146,1)}
        63:{1,2,3,5,7}:{(41,1),(80,1),(84,1),(85,1),(121,1),(146,1)}
        64:{1,2,3,6}:{(42,1),(81,1)}
        65:{2,3,5,6}:{(43,1),(82,1),(87,1)}
        66:{1,3,5,6}:{(44,1),(83,1),(88,1)}
        67:{1,2,5,6,7}:{(45,1),(78,1),(89,1),(146,1)}
        68:{3,5,6,7}:{(46,1),(90,1),(121,1)}
        69:{2,4,6,7}:{(47,1),(90,1),(91,1)}
        70:{2,3,5,7}:{(48,1),(80,1),(91,1),(92,1),(121,1)}
        71:{2,3,4,6}:{(49,1),(81,1),(92,1),(126,1)}
        72:{1,3,5,6,7}:{(50,1),(56,1),(93,1),(94,1),(136,1)}
        73:{1,2,4,5,6,7}:{(50,1),(51,1),(52,1),(93,1),(94,1),(95,1),(101,1),(131,1)}
        74:{1,3,5,6,7}:{(52,1),(53,1),(94,1),(95,1),(96,1)}
        75:{1,3,4,6,7}:{(53,1),(54,1),(59,1),(95,1),(96,1),(97,1),(100,1)}
        76:{1,3,4,5,7}:{(54,1),(55,1),(60,1),(96,1),(97,1),(106,1)}
        77:{1,2,4,6,7}:{(56,1),(61,1),(93,1),(98,1),(131,1)}
        78:{1,2,4,6,7}:{(57,1),(62,1),(67,1),(99,1),(111,1)}
        79:{1,2,4,6,7}:{(58,1),(69,1),(95,1),(100,1),(101,1),(107,1),(111,1),(131,1)}
        80:{1,2,5,7}:{(59,1),(70,1),(96,1),(102,1)}
        81:{1,2,4,6}:{(60,1),(64,1),(71,1),(97,1),(102,1)}
        82:{2,3,5,7}:{(61,1),(65,1),(98,1),(104,1)}
        83:{1,3,5,7}:{(62,1),(66,1),(99,1),(105,1)}
        84:{1,2,4,5,7}:{(63,1),(106,1),(107,1)}
        85:{1,2,3,5,6}:{(63,1),(64,1),(102,1),(107,1),(137,1),(152,1),(153,1)}
        86:{1,2,3,5,6}:{(65,1),(66,1),(103,1),(108,1),(142,1),(152,1),(153,1)}
        87:{2,3,4,6}:{(65,1),(104,1),(108,1),(109,1)}
        88:{1,3,4,6}:{(66,1),(105,1),(108,1),(110,1)}
        89:{1,3,5,6,7}:{(67,1),(68,1),(99,1),(111,1),(136,1)}
        90:{3,4,6,7}:{(68,1),(69,1),(111,1),(112,1)}
        91:{2,4,5,7}:{(69,1),(70,1),(112,1),(113,1)}
        92:{2,3,5,6}:{(70,1),(71,1),(102,1),(113,1),(137,1)}
        93:{1,2,5,6,7}:{(72,1),(77,1),(114,1),(146,1)}
        94:{3,5,6,7}:{(73,1),(115,1),(121,1)}
        95:{1,4,6,7}:{(74,1),(115,1),(116,1)}
        96:{1,3,5,7}:{(75,1),(80,1),(116,1),(117,1),(121,1)}
        97:{1,3,4,6}:{(76,1),(81,1),(117,1),(126,1)}
        98:{2,3,6,7}:{(77,1),(82,1)}
        99:{1,3,6,7}:{(78,1),(83,1)}
       100:{3,4,6,7}:{(79,1),(121,1),(126,1)}
       101:{1,2,4,5,7}:{(79,1),(80,1),(91,1),(116,1),(121,1),(122,1),(129,1),(144,1),(146,1)}
       102:{1,2,5,6}:{(80,1),(81,1),(92,1),(117,1)}
       103:{1,2,3,5,7}:{(82,1),(83,1),(86,1),(118,1),(123,1),(146,1)}
       104:{2,3,4,7}:{(82,1),(87,1),(123,1)}
       105:{1,3,4,7}:{(83,1),(88,1),(123,1)}
       106:{3,4,5,7}:{(84,1),(121,1),(126,1)}
       107:{1,2,4,6}:{(84,1),(85,1),(126,1)}
       108:{1,2,4,6}:{(86,1),(87,1),(88,1),(123,1),(128,1)}
       109:{2,3,4,5}:{(87,1),(128,1)}
       110:{1,3,4,5}:{(88,1),(128,1)}
       111:{1,4,6,7}:{(89,1),(90,1),(129,1)}
       112:{3,4,5,7}:{(90,1),(91,1),(121,1),(129,1),(130,1)}
       113:{2,4,5,6}:{(91,1),(92,1),(130,1)}
       114:{2,3,5,6,7}:{(93,1),(94,1),(98,1),(131,1),(135,1)}
       115:{3,4,6,7}:{(94,1),(95,1),(131,1),(132,1)}
       116:{1,4,5,7}:{(95,1),(96,1),(132,1),(133,1)}
       117:{1,3,5,6}:{(96,1),(97,1),(102,1),(133,1),(137,1)}
       118:{1,2,3,6,7}:{(98,1),(99,1),(103,1),(134,1),(153,1)}
       119:{2,3,4,6,7}:{(98,1),(100,1),(104,1),(131,1),(134,1),(135,1),(140,1)}
       120:{1,3,4,6,7}:{(99,1),(100,1),(105,1),(111,1),(134,1),(136,1),(141,1)}
       121:{3,5,7}:{(100,1),(101,1),(137,1)}
       122:{1,2,4,5,6}:{(101,1),(102,1),(107,1),(113,1),(133,1),(137,1),(143,1),(151,1),(152,1)}
       123:{1,2,4,7}:{(103,1),(104,1),(105,1),(108,1)}
       124:{2,3,4,5,7}:{(104,1),(106,1),(109,1),(135,1),(139,1),(140,1)}
       125:{1,3,4,5,7}:{(105,1),(106,1),(110,1),(136,1),(139,1),(141,1)}
       126:{3,4,6}:{(106,1),(107,1),(137,1)}
       127:{1,2,3,4,6}:{(108,1),(138,1),(142,1),(153,1)}
       128:{1,2,4,5}:{(108,1),(109,1),(110,1),(142,1)}
       129:{1,4,5,7}:{(111,1),(112,1),(136,1),(143,1)}
       130:{3,4,5,6}:{(112,1),(113,1),(137,1),(143,1)}
       131:{2,4,6,7}:{(114,1),(115,1),(144,1)}
       132:{3,4,5,7}:{(115,1),(116,1),(121,1),(144,1),(145,1)}
       133:{1,4,5,6}:{(116,1),(117,1),(145,1)}
       134:{1,2,4,6,7}:{(118,1),(119,1),(120,1),(123,1),(146,1),(150,1)}
       135:{2,3,5,7}:{(119,1),(121,1),(144,1),(146,1),(147,1)}
       136:{1,3,5,7}:{(120,1),(121,1),(129,1),(146,1),(148,1)}
       137:{3,5,6}:{(121,1),(122,1),(126,1)}
       138:{1,2,3,4,7}:{(123,1),(127,1),(149,1)}
       139:{1,2,4,5,7}:{(123,1),(124,1),(125,1),(128,1),(146,1),(149,1),(150,1)}
       140:{2,3,4,6}:{(124,1),(126,1),(147,1),(150,1)}
       141:{1,3,4,6}:{(125,1),(126,1),(148,1),(150,1)}
       142:{1,2,3,5}:{(127,1),(128,1)}
       143:{1,4,5,6}:{(129,1),(130,1),(148,1)}
       144:{2,4,5,7}:{(131,1),(132,1),(135,1),(151,1)}
       145:{3,4,5,6}:{(132,1),(133,1),(137,1),(151,1)}
       146:{1,2,5,7}:{(134,1),(135,1),(136,1),(152,1)}
       147:{2,3,5,6}:{(135,1),(137,1),(140,1),(151,1),(152,1)}
       148:{1,3,5,6}:{(136,1),(137,1),(141,1),(143,1),(152,1)}
       149:{1,2,3,5,7}:{(138,1),(139,1),(142,1),(153,1)}
       150:{1,2,4,6}:{(139,1),(140,1),(141,1),(152,1),(153,1)}
       151:{2,4,5,6}:{(144,1),(145,1),(147,1)}
       152:{1,2,5,6}:{(146,1),(147,1),(148,1),(150,1)}
       153:{1,2,3,6}:{(149,1),(150,1)}

2186 :   0:{1,3,4,5,6}:{(2,1),(3,1),(36,1),(67,1),(78,1)}
         1:{1,2,3,4,6}:{(5,1),(6,1),(26,1),(29,1)}
         2:{1,2,4,5,6}:{(0,1),(8,1),(9,1),(26,1),(57,1),(62,1)}
         3:{1,3,4,5,7}:{(0,1),(9,1),(10,1),(51,1),(82,1),(93,1)}
         4:{2,3,4,5,6}:{(11,1),(12,1),(17,1),(47,1),(100,1)}
         5:{1,2,3,5}:{(1,1),(13,1)}
         6:{1,2,3,4,7}:{(1,1),(15,1),(41,1)}
         7:{2,3,4,5}:{(13,1),(17,1)}
         8:{2,3,5,6}:{(2,1),(17,1),(19,1)}
         9:{1,2,4,5,7}:{(2,1),(3,1),(19,1),(20,1),(41,1),(71,1),(77,1)}
        10:{1,3,4,6,7}:{(3,1),(20,1),(21,1),(79,1)}
        11:{1,2,4,5,6}:{(4,1),(23,1),(24,1),(26,1),(57,1),(83,1)}
        12:{2,3,4,5,7}:{(4,1),(24,1),(25,1),(31,1),(61,1),(115,1)}
        13:{1,2,4,5}:{(5,1),(7,1),(22,1),(26,1)}
        14:{1,2,3,5,6}:{(5,1),(8,1),(23,1),(26,1),(28,1),(29,1),(57,1)}
        15:{1,2,3,5,7}:{(5,1),(6,1),(27,1),(29,1)}
        16:{1,2,3,4,6,7}:{(6,1),(29,1),(30,1),(56,1),(59,1),(89,1),(124,1),(125,1),(126,1)}
        17:{2,3,4,6}:{(7,1),(8,1),(26,1),(31,1)}
        18:{2,3,4,5,7}:{(7,1),(27,1),(31,1),(32,1),(60,1),(61,1)}
        19:{2,3,5,7}:{(8,1),(9,1),(31,1),(33,1)}
        20:{1,2,4,6,7}:{(9,1),(10,1),(33,1),(34,1),(63,1)}
        21:{1,3,5,6,7}:{(10,1),(34,1),(35,1),(64,1),(82,1)}
        22:{1,3,4,5}:{(13,1),(36,1)}
        23:{1,3,5,6}:{(11,1),(36,1),(38,1)}
        24:{1,2,4,5,7}:{(11,1),(12,1),(38,1),(39,1),(41,1),(71,1),(99,1)}
        25:{2,3,4,6,7}:{(12,1),(39,1),(40,1),(101,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(17,1),(36,1),(41,1)}
        27:{1,2,4,5,7}:{(13,1),(15,1),(18,1),(37,1),(41,1),(42,1),(71,1)}
        28:{1,2,3,5,7}:{(14,1),(19,1),(38,1),(41,1),(43,1),(71,1)}
        29:{1,2,3,6}:{(15,1),(42,1)}
        30:{1,2,3,5,7}:{(16,1),(44,1),(45,1),(71,1),(104,1),(134,1)}
        31:{2,3,4,7}:{(17,1),(19,1),(41,1)}
        32:{2,3,4,6}:{(18,1),(42,1),(47,1),(74,1)}
        33:{2,3,6,7}:{(19,1),(20,1)}
        34:{1,2,5,6,7}:{(20,1),(21,1),(48,1),(71,1)}
        35:{1,4,5,6,7}:{(21,1),(50,1),(99,1)}
        36:{1,3,4,6}:{(22,1),(23,1),(26,1),(51,1)}
        37:{1,3,4,5,7}:{(22,1),(27,1),(51,1),(52,1),(60,1),(82,1)}
        38:{1,3,5,7}:{(23,1),(24,1),(51,1),(53,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(53,1),(54,1),(84,1)}
        40:{2,3,5,6,7}:{(25,1),(54,1),(55,1),(61,1),(85,1)}
        41:{1,2,4,7}:{(26,1),(28,1),(31,1),(51,1)}
        42:{1,2,4,6}:{(27,1),(29,1),(32,1),(52,1),(57,1)}
        43:{1,2,3,6,7}:{(28,1),(29,1),(33,1),(53,1),(56,1)}
        44:{1,2,3,5,6}:{(29,1),(30,1),(57,1),(59,1),(88,1),(123,1),(125,1)}
        45:{1,2,4,5,7}:{(30,1),(59,1),(60,1)}
        46:{2,3,4,6,7}:{(31,1),(32,1),(33,1),(56,1),(61,1),(63,1),(89,1)}
        47:{2,3,5,6}:{(32,1),(57,1),(61,1),(62,1),(88,1)}
        48:{2,3,5,6,7}:{(33,1),(34,1),(61,1),(63,1),(64,1)}
        49:{1,2,4,5,6,7}:{(34,1),(35,1),(63,1),(64,1),(65,1),(87,1),(96,1),(98,1)}
        50:{3,4,5,6,7}:{(35,1),(64,1),(65,1),(115,1)}
        51:{1,3,4,7}:{(36,1),(38,1),(41,1)}
        52:{1,3,4,6}:{(37,1),(42,1),(67,1),(74,1)}
        53:{1,3,6,7}:{(38,1),(39,1)}
        54:{1,2,5,6,7}:{(39,1),(40,1),(68,1),(71,1)}
        55:{2,4,5,6,7}:{(40,1),(70,1),(77,1)}
        56:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(46,1),(66,1),(71,1)}
        57:{1,2,5,6}:{(42,1),(47,1),(67,1),(71,1)}
        58:{1,2,3,5,6,7}:{(43,1),(44,1),(48,1),(68,1),(71,1),(73,1),(80,1),(103,1),(104,1),(134,1),(136,1)}
        59:{1,2,4,6}:{(44,1),(45,1),(74,1)}
        60:{3,4,5,7}:{(45,1),(74,1),(104,1)}
        61:{2,3,5,7}:{(46,1),(47,1),(71,1),(77,1),(104,1)}
        62:{2,4,5,6}:{(47,1),(77,1),(78,1)}
        63:{2,4,6,7}:{(48,1),(77,1),(79,1)}
        64:{3,5,6,7}:{(49,1),(79,1),(104,1)}
        65:{2,4,5,6,7}:{(50,1),(81,1),(131,1)}
        66:{1,3,4,6,7}:{(51,1),(52,1),(53,1),(56,1),(82,1),(84,1),(89,1)}
        67:{1,3,5,6}:{(52,1),(57,1),(82,1),(83,1),(88,1)}
        68:{1,3,5,6,7}:{(53,1),(54,1),(82,1),(84,1),(85,1)}
        69:{1,2,4,5,6,7}:{(54,1),(55,1),(84,1),(85,1),(86,1),(87,1),(119,1),(120,1)}
        70:{3,4,5,6,7}:{(55,1),(85,1),(86,1),(93,1)}
        71:{1,2,5,7}:{(56,1),(57,1),(61,1),(82,1)}
        72:{1,2,4,5,6}:{(57,1),(59,1),(62,1),(83,1),(87,1),(88,1),(94,1),(117,1),(123,1)}
        73:{1,2,4,6,7}:{(58,1),(59,1),(63,1),(84,1),(87,1),(89,1),(96,1),(119,1)}
        74:{3,4,6}:{(59,1),(60,1),(88,1)}
        75:{1,3,4,5,7}:{(60,1),(90,1),(92,1),(121,1),(146,1),(147,1)}
        76:{2,3,4,5,7}:{(60,1),(91,1),(92,1),(122,1),(152,1),(153,1)}
        77:{2,4,5,7}:{(61,1),(62,1),(63,1),(93,1)}
        78:{3,4,5,6}:{(62,1),(88,1),(93,1),(94,1)}
        79:{3,4,6,7}:{(63,1),(64,1),(93,1),(96,1)}
        80:{1,3,5,6,7}:{(64,1),(96,1),(98,1),(121,1),(129,1)}
        81:{2,3,5,6,7}:{(64,1),(65,1),(97,1),(98,1),(122,1)}
        82:{1,3,5,7}:{(66,1),(67,1),(71,1),(99,1),(104,1)}
        83:{1,4,5,6}:{(67,1),(99,1),(100,1)}
        84:{1,4,6,7}:{(68,1),(99,1),(101,1)}
        85:{3,5,6,7}:{(69,1),(101,1),(104,1)}
        86:{1,4,5,6,7}:{(70,1),(102,1),(111,1)}
        87:{1,2,4,5,7}:{(71,1),(72,1),(73,1),(77,1),(99,1),(104,1),(111,1),(131,1),(134,1)}
        88:{3,5,6}:{(72,1),(74,1),(104,1)}
        89:{3,4,6,7}:{(73,1),(74,1),(104,1)}
        90:{1,3,4,6}:{(74,1),(75,1),(105,1),(109,1)}
        91:{2,3,4,6}:{(74,1),(76,1),(106,1),(109,1)}
        92:{1,2,4,5,7}:{(75,1),(76,1),(109,1),(110,1),(134,1),(150,1),(151,1)}
        93:{3,4,5,7}:{(77,1),(78,1),(79,1),(104,1),(111,1)}
        94:{1,4,5,6}:{(78,1),(105,1),(111,1)}
        95:{2,3,4,5,6}:{(78,1),(106,1),(112,1),(113,1),(149,1)}
        96:{1,4,6,7}:{(79,1),(80,1),(111,1)}
        97:{2,3,4,6,7}:{(79,1),(81,1),(112,1),(114,1)}
        98:{1,2,5,6,7}:{(80,1),(81,1),(114,1),(134,1)}
        99:{1,4,5,7}:{(82,1),(83,1),(84,1),(115,1)}
       100:{3,4,5,6}:{(83,1),(88,1),(115,1),(117,1)}
       101:{3,4,6,7}:{(84,1),(85,1),(115,1),(119,1)}
       102:{1,3,5,6,7}:{(85,1),(86,1),(118,1),(120,1),(121,1)}
       103:{2,3,5,6,7}:{(85,1),(119,1),(120,1),(122,1),(142,1)}
       104:{3,5,7}:{(87,1),(88,1),(89,1)}
       105:{1,3,5,6}:{(88,1),(90,1),(94,1),(121,1),(123,1)}
       106:{2,3,5,6}:{(88,1),(91,1),(117,1),(122,1),(123,1)}
       107:{1,3,4,6,7}:{(89,1),(90,1),(96,1),(121,1),(124,1),(129,1),(146,1)}
       108:{2,3,4,6,7}:{(89,1),(91,1),(119,1),(122,1),(124,1),(142,1),(152,1)}
       109:{1,2,4,6}:{(90,1),(91,1),(92,1),(123,1),(125,1)}
       110:{1,2,3,5,7}:{(92,1),(125,1),(126,1),(145,1)}
       111:{1,4,5,7}:{(93,1),(94,1),(96,1),(121,1)}
       112:{2,3,4,5,7}:{(93,1),(95,1),(97,1),(122,1),(127,1),(152,1)}
       113:{1,2,4,5,6}:{(94,1),(95,1),(123,1),(127,1),(128,1),(144,1)}
       114:{1,2,4,6,7}:{(96,1),(97,1),(98,1),(127,1),(129,1)}
       115:{3,4,5,7}:{(99,1),(100,1),(101,1),(104,1),(131,1)}
       116:{1,3,4,5,6}:{(100,1),(105,1),(130,1),(132,1),(139,1)}
       117:{2,4,5,6}:{(100,1),(106,1),(131,1)}
       118:{1,3,4,6,7}:{(101,1),(102,1),(130,1),(133,1)}
       119:{2,4,6,7}:{(101,1),(103,1),(131,1)}
       120:{1,2,5,6,7}:{(102,1),(103,1),(133,1),(134,1)}
       121:{1,3,5,7}:{(104,1),(105,1),(107,1),(111,1),(134,1)}
       122:{2,3,5,7}:{(104,1),(106,1),(108,1),(131,1),(134,1)}
       123:{1,2,5,6}:{(105,1),(106,1),(109,1),(134,1)}
       124:{1,2,4,6,7}:{(107,1),(108,1),(109,1),(134,1),(136,1),(150,1)}
       125:{1,2,3,6}:{(109,1),(110,1)}
       126:{1,2,3,4,7}:{(110,1),(137,1),(150,1)}
       127:{1,2,4,5,7}:{(111,1),(112,1),(113,1),(114,1),(134,1),(138,1),(150,1)}
       128:{1,3,5,6}:{(113,1),(138,1),(139,1)}
       129:{1,3,6,7}:{(114,1),(138,1)}
       130:{1,3,4,5,7}:{(115,1),(116,1),(118,1),(121,1),(140,1),(146,1)}
       131:{2,4,5,7}:{(115,1),(117,1),(119,1),(122,1)}
       132:{1,2,4,5,6}:{(116,1),(117,1),(123,1),(140,1),(141,1),(144,1)}
       133:{1,2,4,6,7}:{(118,1),(119,1),(120,1),(140,1),(142,1)}
       134:{1,2,5,7}:{(121,1),(122,1),(123,1),(124,1)}
       135:{1,2,3,5,6}:{(123,1),(125,1),(128,1),(141,1),(143,1),(144,1),(145,1)}
       136:{1,2,3,6,7}:{(124,1),(125,1),(129,1),(142,1),(143,1)}
       137:{1,2,3,4,6}:{(125,1),(126,1),(144,1),(145,1)}
       138:{1,3,5,7}:{(127,1),(128,1),(129,1),(146,1)}
       139:{1,3,4,6}:{(128,1),(144,1),(146,1),(147,1)}
       140:{1,2,4,5,7}:{(130,1),(131,1),(132,1),(133,1),(134,1),(148,1),(150,1)}
       141:{2,3,5,6}:{(132,1),(148,1),(149,1)}
       142:{2,3,6,7}:{(133,1),(148,1)}
       143:{1,2,3,5,7}:{(134,1),(135,1),(136,1),(138,1),(148,1),(150,1)}
       144:{1,2,4,6}:{(135,1),(139,1),(149,1),(150,1),(151,1)}
       145:{1,2,3,5}:{(137,1),(151,1)}
       146:{1,3,4,7}:{(138,1),(139,1),(150,1)}
       147:{1,3,4,5}:{(139,1),(151,1)}
       148:{2,3,5,7}:{(140,1),(141,1),(142,1),(152,1)}
       149:{2,3,4,6}:{(141,1),(144,1),(152,1),(153,1)}
       150:{1,2,4,7}:{(143,1),(144,1),(146,1),(152,1)}
       151:{1,2,4,5}:{(144,1),(145,1),(147,1),(153,1)}
       152:{2,3,4,7}:{(148,1),(149,1),(150,1)}
       153:{2,3,4,5}:{(149,1),(151,1)}

2187 :   0:{2,3,4,5,6}:{(3,1),(4,1),(50,1),(57,1),(100,1)}
         1:{3,4,5,6,7}:{(5,1),(6,1),(30,1),(144,1)}
         2:{1,2,3,4,6}:{(7,1),(9,1),(32,1),(36,1)}
         3:{1,2,4,5,6}:{(0,1),(11,1),(12,1),(36,1),(72,1),(78,1)}
         4:{2,3,4,5,7}:{(0,1),(8,1),(12,1),(76,1),(82,1),(121,1)}
         5:{2,4,5,6,7}:{(1,1),(14,1),(135,1)}
         6:{1,4,5,6,7}:{(1,1),(15,1),(149,1)}
         7:{1,2,3,4,7}:{(2,1),(17,1),(59,1)}
         8:{2,3,4,6,7}:{(4,1),(14,1),(19,1),(51,1)}
         9:{1,2,3,5}:{(2,1),(20,1)}
        10:{1,3,4,5}:{(20,1),(22,1)}
        11:{1,3,5,6}:{(3,1),(22,1),(23,1)}
        12:{1,2,4,5,7}:{(3,1),(4,1),(19,1),(23,1),(59,1),(97,1),(102,1)}
        13:{1,2,3,4,6,7}:{(7,1),(25,1),(27,1),(32,1),(66,1),(70,1),(79,1),(113,1),(116,1)}
        14:{2,3,5,6,7}:{(5,1),(8,1),(28,1),(30,1),(121,1)}
        15:{1,3,5,6,7}:{(6,1),(26,1),(29,1),(30,1),(142,1)}
        16:{1,2,4,5,6,7}:{(5,1),(6,1),(28,1),(29,1),(30,1),(73,1),(75,1),(117,1)}
        17:{1,2,3,5,7}:{(7,1),(9,1),(31,1),(32,1)}
        18:{1,3,4,5,7}:{(10,1),(31,1),(33,1),(39,1),(69,1),(80,1)}
        19:{1,2,4,6,7}:{(8,1),(12,1),(28,1),(34,1),(73,1)}
        20:{1,2,4,5}:{(9,1),(10,1),(35,1),(36,1)}
        21:{1,2,3,5,6}:{(9,1),(11,1),(32,1),(36,1),(37,1),(78,1),(81,1)}
        22:{1,3,4,6}:{(10,1),(11,1),(36,1),(39,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(34,1),(39,1)}
        24:{1,3,4,5,6}:{(41,1),(42,1),(50,1),(124,1),(128,1)}
        25:{1,2,3,4,7}:{(40,1),(43,1),(126,1)}
        26:{1,3,4,6,7}:{(15,1),(42,1),(45,1),(51,1)}
        27:{1,2,3,5,7}:{(13,1),(46,1),(47,1),(102,1),(130,1),(133,1)}
        28:{1,2,5,6,7}:{(14,1),(19,1),(48,1),(102,1)}
        29:{1,2,5,6,7}:{(15,1),(45,1),(49,1),(130,1)}
        30:{3,5,6,7}:{(16,1),(51,1),(133,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(20,1),(52,1),(53,1),(59,1),(102,1)}
        32:{1,2,3,6}:{(17,1),(53,1)}
        33:{1,3,4,6}:{(18,1),(53,1),(55,1),(94,1)}
        34:{1,3,6,7}:{(19,1),(23,1)}
        35:{2,3,4,5}:{(20,1),(57,1)}
        36:{1,2,4,6}:{(20,1),(21,1),(22,1),(57,1),(59,1)}
        37:{1,2,3,5,7}:{(21,1),(23,1),(54,1),(59,1),(102,1),(104,1)}
        38:{1,3,4,5,6}:{(22,1),(55,1),(58,1),(60,1),(132,1)}
        39:{1,3,4,7}:{(22,1),(23,1),(59,1)}
        40:{1,2,3,4,6}:{(25,1),(61,1),(66,1),(107,1)}
        41:{1,2,4,5,6}:{(24,1),(63,1),(64,1),(74,1),(107,1),(112,1)}
        42:{1,3,4,5,7}:{(24,1),(26,1),(64,1),(76,1),(138,1),(142,1)}
        43:{1,2,3,5,7}:{(25,1),(61,1),(65,1),(66,1)}
        44:{2,3,4,5,7}:{(62,1),(65,1),(67,1),(69,1),(110,1),(114,1)}
        45:{1,2,4,6,7}:{(26,1),(29,1),(64,1),(68,1),(75,1)}
        46:{1,2,4,5,7}:{(27,1),(69,1),(70,1)}
        47:{1,2,3,5,6}:{(27,1),(32,1),(66,1),(70,1),(78,1),(112,1),(115,1)}
        48:{1,3,5,6,7}:{(28,1),(30,1),(34,1),(73,1),(80,1)}
        49:{2,3,5,6,7}:{(29,1),(30,1),(68,1),(75,1),(114,1)}
        50:{3,4,5,6}:{(72,1),(74,1),(76,1),(115,1)}
        51:{3,4,6,7}:{(30,1),(73,1),(75,1),(76,1)}
        52:{2,3,4,5,7}:{(31,1),(35,1),(69,1),(77,1),(82,1),(121,1)}
        53:{1,2,4,6}:{(31,1),(32,1),(33,1),(77,1),(78,1)}
        54:{1,2,3,6,7}:{(32,1),(34,1),(37,1),(79,1),(123,1)}
        55:{1,3,5,6}:{(33,1),(72,1),(78,1),(80,1),(115,1)}
        56:{1,3,4,6,7}:{(33,1),(34,1),(39,1),(73,1),(79,1),(80,1),(116,1)}
        57:{2,3,4,6}:{(35,1),(36,1),(81,1),(82,1)}
        58:{1,2,4,5,6}:{(36,1),(38,1),(78,1),(81,1),(83,1),(120,1)}
        59:{1,2,4,7}:{(36,1),(37,1),(39,1),(82,1)}
        60:{1,3,4,5,7}:{(38,1),(39,1),(80,1),(83,1),(84,1),(144,1)}
        61:{1,2,3,5}:{(40,1),(85,1)}
        62:{2,3,4,5}:{(85,1),(87,1)}
        63:{2,3,5,6}:{(41,1),(87,1),(88,1)}
        64:{1,2,4,5,7}:{(41,1),(42,1),(45,1),(88,1),(98,1),(126,1),(130,1)}
        65:{1,2,4,5,7}:{(43,1),(44,1),(85,1),(89,1),(90,1),(126,1),(130,1)}
        66:{1,2,3,6}:{(43,1),(90,1)}
        67:{2,3,4,6}:{(44,1),(90,1),(92,1),(94,1)}
        68:{2,3,6,7}:{(45,1),(88,1)}
        69:{3,4,5,7}:{(46,1),(94,1),(133,1)}
        70:{1,2,4,6}:{(46,1),(47,1),(94,1)}
        71:{1,2,3,5,6,7}:{(47,1),(48,1),(49,1),(54,1),(91,1),(96,1),(102,1),(130,1),(133,1),(136,1),(150,1)}
        72:{1,4,5,6}:{(50,1),(55,1),(97,1)}
        73:{1,4,6,7}:{(48,1),(51,1),(97,1)}
        74:{2,4,5,6}:{(50,1),(92,1),(98,1)}
        75:{2,4,6,7}:{(49,1),(51,1),(98,1)}
        76:{3,4,5,7}:{(50,1),(51,1),(97,1),(98,1),(133,1)}
        77:{2,3,4,6}:{(52,1),(53,1),(94,1),(100,1)}
        78:{1,2,5,6}:{(53,1),(55,1),(100,1),(102,1)}
        79:{1,2,4,6,7}:{(53,1),(54,1),(56,1),(59,1),(101,1),(102,1)}
        80:{1,3,5,7}:{(55,1),(56,1),(97,1),(102,1),(133,1)}
        81:{2,3,5,6}:{(57,1),(58,1),(104,1)}
        82:{2,3,4,7}:{(57,1),(59,1),(104,1)}
        83:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(102,1),(104,1),(105,1),(135,1)}
        84:{1,3,4,6,7}:{(60,1),(103,1),(105,1),(151,1)}
        85:{1,2,4,5}:{(61,1),(62,1),(106,1),(107,1)}
        86:{1,2,3,5,6}:{(61,1),(63,1),(66,1),(107,1),(108,1),(112,1),(137,1)}
        87:{2,3,4,6}:{(62,1),(63,1),(107,1),(110,1)}
        88:{2,3,5,7}:{(63,1),(64,1),(68,1),(110,1)}
        89:{1,3,4,5,7}:{(65,1),(69,1),(106,1),(111,1),(138,1),(142,1)}
        90:{1,2,4,6}:{(65,1),(66,1),(67,1),(111,1),(112,1)}
        91:{1,2,3,6,7}:{(66,1),(68,1),(108,1),(113,1),(152,1)}
        92:{2,3,5,6}:{(67,1),(74,1),(112,1),(114,1),(115,1)}
        93:{2,3,4,6,7}:{(67,1),(68,1),(75,1),(110,1),(113,1),(114,1),(116,1)}
        94:{3,4,6}:{(69,1),(70,1),(115,1)}
        95:{1,2,4,5,6}:{(70,1),(72,1),(74,1),(78,1),(112,1),(115,1),(117,1),(120,1),(141,1)}
        96:{1,2,4,6,7}:{(70,1),(71,1),(73,1),(75,1),(116,1),(117,1),(146,1),(153,1)}
        97:{1,4,5,7}:{(72,1),(73,1),(76,1),(80,1)}
        98:{2,4,5,7}:{(74,1),(75,1),(76,1),(114,1)}
        99:{3,4,5,6,7}:{(76,1),(118,1),(119,1),(145,1)}
       100:{2,3,5,6}:{(77,1),(78,1),(115,1),(120,1),(121,1)}
       101:{2,3,4,6,7}:{(77,1),(79,1),(82,1),(116,1),(121,1),(123,1),(146,1)}
       102:{1,2,5,7}:{(78,1),(79,1),(80,1),(121,1)}
       103:{1,3,5,6,7}:{(80,1),(84,1),(118,1),(122,1),(145,1)}
       104:{2,3,5,7}:{(81,1),(82,1),(83,1),(123,1)}
       105:{1,2,4,6,7}:{(83,1),(84,1),(122,1),(123,1),(146,1)}
       106:{1,3,4,5}:{(85,1),(124,1)}
       107:{1,2,4,6}:{(85,1),(86,1),(87,1),(124,1),(126,1)}
       108:{1,2,3,5,7}:{(86,1),(88,1),(91,1),(126,1),(130,1),(147,1)}
       109:{2,3,4,5,6}:{(87,1),(92,1),(125,1),(127,1),(132,1)}
       110:{2,3,4,7}:{(87,1),(88,1),(126,1)}
       111:{1,3,4,6}:{(89,1),(90,1),(94,1),(128,1)}
       112:{1,2,5,6}:{(90,1),(92,1),(128,1),(130,1)}
       113:{1,2,4,6,7}:{(90,1),(91,1),(93,1),(126,1),(129,1),(130,1)}
       114:{2,3,5,7}:{(92,1),(93,1),(98,1),(130,1),(133,1)}
       115:{3,5,6}:{(94,1),(95,1),(133,1)}
       116:{3,4,6,7}:{(94,1),(96,1),(133,1)}
       117:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(98,1),(102,1),(130,1),(133,1),(135,1),(149,1)}
       118:{1,4,5,6,7}:{(97,1),(99,1),(103,1)}
       119:{2,4,5,6,7}:{(98,1),(99,1),(131,1)}
       120:{2,4,5,6}:{(100,1),(132,1),(135,1)}
       121:{2,3,5,7}:{(100,1),(101,1),(102,1),(133,1),(135,1)}
       122:{1,2,5,6,7}:{(102,1),(103,1),(105,1),(136,1)}
       123:{2,3,6,7}:{(104,1),(105,1)}
       124:{1,3,4,6}:{(106,1),(107,1),(137,1),(138,1)}
       125:{1,2,4,5,6}:{(107,1),(109,1),(112,1),(137,1),(139,1),(141,1)}
       126:{1,2,4,7}:{(107,1),(108,1),(110,1),(138,1)}
       127:{2,3,4,5,7}:{(109,1),(110,1),(114,1),(139,1),(140,1),(144,1)}
       128:{1,3,5,6}:{(111,1),(112,1),(115,1),(141,1),(142,1)}
       129:{1,3,4,6,7}:{(111,1),(113,1),(116,1),(138,1),(142,1),(152,1),(153,1)}
       130:{1,2,5,7}:{(112,1),(113,1),(114,1),(142,1)}
       131:{2,3,5,6,7}:{(114,1),(119,1),(140,1),(143,1),(145,1)}
       132:{3,4,5,6}:{(115,1),(120,1),(141,1),(144,1)}
       133:{3,5,7}:{(115,1),(116,1),(117,1)}
       134:{1,2,4,5,6,7}:{(117,1),(118,1),(119,1),(122,1),(143,1),(145,1),(146,1),(153,1)}
       135:{2,4,5,7}:{(120,1),(121,1),(144,1),(146,1)}
       136:{2,3,5,6,7}:{(121,1),(122,1),(123,1),(145,1),(146,1)}
       137:{1,3,5,6}:{(124,1),(125,1),(147,1)}
       138:{1,3,4,7}:{(124,1),(126,1),(147,1)}
       139:{1,2,4,5,7}:{(125,1),(126,1),(127,1),(130,1),(147,1),(148,1),(149,1)}
       140:{2,3,4,6,7}:{(127,1),(131,1),(148,1),(151,1)}
       141:{1,4,5,6}:{(128,1),(132,1),(149,1)}
       142:{1,3,5,7}:{(128,1),(129,1),(130,1),(133,1),(149,1)}
       143:{1,2,5,6,7}:{(130,1),(131,1),(148,1),(150,1)}
       144:{3,4,5,7}:{(132,1),(133,1),(135,1),(149,1),(151,1)}
       145:{3,5,6,7}:{(133,1),(134,1),(151,1)}
       146:{2,4,6,7}:{(135,1),(136,1),(151,1)}
       147:{1,3,5,7}:{(137,1),(138,1),(139,1),(152,1)}
       148:{1,2,4,6,7}:{(139,1),(140,1),(143,1),(152,1),(153,1)}
       149:{1,4,5,7}:{(141,1),(142,1),(144,1),(153,1)}
       150:{1,3,5,6,7}:{(142,1),(143,1),(145,1),(152,1),(153,1)}
       151:{3,4,6,7}:{(144,1),(145,1),(146,1),(153,1)}
       152:{1,3,6,7}:{(147,1),(148,1)}
       153:{1,4,6,7}:{(149,1),(150,1),(151,1)}

2188 :  0:{1,2,3,4,7}:{(1,1),(2,1),(30,1),(79,1)}
        1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(40,1),(70,1)}
        2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        3:{2,3,4,5,7}:{(4,1),(7,1),(18,1),(22,1),(44,1)}
        4:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(10,1),(26,1),(30,1)}
        5:{1,2,3,5}:{(1,1),(10,1)}
        6:{1,2,3,6}:{(2,1),(9,1)}
        7:{2,3,4,6}:{(3,1),(9,1),(13,1),(29,1)}
        8:{1,3,4,5,7}:{(4,1),(15,1),(18,1),(36,1),(44,1)}
        9:{1,2,4,6}:{(4,1),(6,1),(7,1),(15,1),(16,1)}
       10:{1,2,4,5}:{(5,1),(18,1),(19,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(16,1),(19,1),(20,1),(38,1),(67,1),(70,1)}
       12:{1,2,3,6,7}:{(6,1),(17,1),(20,1),(66,1),(82,1)}
       13:{2,3,5,6}:{(7,1),(16,1),(21,1),(22,1),(38,1)}
       14:{2,3,4,6,7}:{(7,1),(17,1),(22,1),(44,1),(45,1),(66,1)}
       15:{1,3,4,6}:{(8,1),(9,1),(23,1),(29,1)}
       16:{1,2,5,6}:{(9,1),(13,1),(23,1),(26,1)}
       17:{1,2,4,6,7}:{(9,1),(12,1),(14,1),(24,1),(26,1),(30,1)}
       18:{3,4,5}:{(10,1),(29,1)}
       19:{1,2,4,6}:{(10,1),(11,1),(29,1),(30,1)}
       20:{1,2,3,5,7}:{(11,1),(12,1),(26,1),(30,1),(55,1),(78,1),(79,1)}
       21:{2,4,5,6}:{(13,1),(32,1),(33,1)}
       22:{2,3,5,7}:{(13,1),(14,1),(26,1),(33,1),(55,1)}
       23:{1,3,5,6}:{(15,1),(16,1),(35,1),(36,1),(38,1)}
       24:{1,3,4,6,7}:{(15,1),(17,1),(36,1),(44,1),(63,1),(66,1)}
       25:{1,2,4,5,6}:{(16,1),(19,1),(21,1),(35,1),(38,1),(39,1),(46,1),(64,1),(67,1)}
       26:{1,2,5,7}:{(16,1),(17,1),(22,1),(36,1)}
       27:{2,3,4,5}:{(18,1),(41,1),(42,1)}
       28:{1,3,4,5}:{(18,1),(41,1),(43,1)}
       29:{3,4,6}:{(18,1),(19,1),(38,1),(44,1)}
       30:{1,2,4,7}:{(19,1),(20,1),(44,1)}
       31:{2,3,5,6,7}:{(22,1),(37,1),(45,1),(48,1),(66,1)}
       32:{3,4,5,6}:{(21,1),(38,1),(46,1),(47,1)}
       33:{2,4,5,7}:{(21,1),(22,1),(45,1),(47,1)}
       34:{2,4,5,6,7}:{(45,1),(48,1)}
       35:{1,4,5,6}:{(23,1),(50,1),(51,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(26,1),(51,1),(55,1)}
       37:{1,2,5,6,7}:{(26,1),(31,1),(49,1),(52,1),(62,1),(83,1)}
       38:{3,5,6}:{(25,1),(29,1),(55,1)}
       39:{1,2,4,5,7}:{(25,1),(26,1),(30,1),(33,1),(51,1),(52,1),(55,1),(61,1),(75,1),(78,1)}
       40:{1,2,3,4}:{(56,1)}
       41:{1,2,4,5}:{(27,1),(28,1),(56,1),(57,1)}
       42:{2,3,4,6}:{(27,1),(29,1),(53,1),(57,1),(58,1)}
       43:{1,3,4,6}:{(28,1),(29,1),(54,1),(57,1),(59,1)}
       44:{3,4,7}:{(29,1),(30,1),(55,1)}
       45:{2,4,6,7}:{(31,1),(33,1),(60,1)}
       46:{1,4,5,6}:{(32,1),(54,1),(61,1)}
       47:{3,4,5,7}:{(32,1),(33,1),(55,1),(60,1),(61,1)}
       48:{3,5,6,7}:{(34,1),(60,1),(62,1)}
       49:{1,3,5,6,7}:{(36,1),(37,1),(63,1),(66,1),(80,1)}
       50:{3,4,5,6}:{(35,1),(38,1),(64,1),(65,1)}
       51:{1,4,5,7}:{(35,1),(36,1),(63,1),(65,1)}
       52:{1,2,4,6,7}:{(37,1),(39,1),(45,1),(63,1),(66,1),(72,1),(81,1),(82,1)}
       53:{2,3,5,6}:{(38,1),(42,1),(64,1),(67,1),(68,1)}
       54:{1,3,5,6}:{(38,1),(43,1),(46,1),(67,1),(69,1)}
       55:{3,5,7}:{(38,1),(39,1),(44,1),(66,1)}
       56:{1,2,3,5}:{(40,1),(41,1),(70,1)}
       57:{1,2,4,6}:{(41,1),(42,1),(43,1),(67,1),(70,1),(71,1)}
       58:{2,3,4,7}:{(42,1),(44,1),(68,1),(71,1)}
       59:{1,3,4,7}:{(43,1),(44,1),(69,1),(71,1)}
       60:{3,4,6,7}:{(45,1),(47,1),(48,1),(66,1),(72,1)}
       61:{1,4,5,7}:{(46,1),(47,1),(69,1),(72,1)}
       62:{1,5,6,7}:{(48,1),(72,1)}
       63:{1,4,6,7}:{(49,1),(51,1),(74,1)}
       64:{2,4,5,6}:{(50,1),(53,1),(75,1)}
       65:{3,4,5,7}:{(50,1),(51,1),(55,1),(74,1),(75,1)}
       66:{3,6,7}:{(52,1),(55,1)}
       67:{1,2,5,6}:{(53,1),(54,1),(57,1),(78,1)}
       68:{2,3,5,7}:{(53,1),(55,1),(58,1),(75,1),(76,1),(78,1)}
       69:{1,3,5,7}:{(54,1),(55,1),(59,1),(61,1),(77,1),(78,1)}
       70:{1,2,3,6}:{(56,1),(57,1),(79,1)}
       71:{1,2,4,7}:{(57,1),(58,1),(59,1),(78,1),(79,1)}
       72:{1,4,6,7}:{(60,1),(61,1),(62,1),(77,1)}
       73:{1,4,5,6,7}:{(63,1),(80,1)}
       74:{3,4,6,7}:{(63,1),(65,1),(66,1),(80,1),(81,1)}
       75:{2,4,5,7}:{(64,1),(65,1),(68,1),(81,1)}
       76:{2,3,6,7}:{(66,1),(68,1),(81,1),(82,1)}
       77:{1,3,6,7}:{(66,1),(69,1),(72,1),(82,1)}
       78:{1,2,5,7}:{(67,1),(68,1),(69,1),(71,1),(82,1)}
       79:{1,2,3,7}:{(70,1),(71,1)}
       80:{3,5,6,7}:{(73,1),(74,1),(83,1)}
       81:{2,4,6,7}:{(74,1),(75,1),(76,1),(83,1)}
       82:{1,2,6,7}:{(76,1),(77,1),(78,1)}
       83:{2,5,6,7}:{(80,1),(81,1)}

2189 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(18,1),(37,1),(38,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(24,1),(47,1)}
        2:{1,2,4,5,7}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,5,6}:{(1,1),(5,1),(12,1),(34,1),(37,1)}
        4:{3,4,5,7}:{(2,1),(10,1),(24,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(10,1)}
        6:{1,2,3,5,6,7}:{(3,1),(11,1),(24,1),(43,1),(44,1),(47,1),(48,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(29,1),(30,1),(34,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(16,1),(35,1),(51,1),(62,1)}
        9:{1,3,4,5,7}:{(4,1),(15,1),(17,1),(36,1),(51,1),(62,1)}
       10:{3,4,6}:{(4,1),(5,1),(12,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(13,1),(18,1),(49,1),(50,1)}
       12:{3,5,6}:{(7,1),(10,1),(24,1)}
       13:{1,2,4,5,7}:{(7,1),(11,1),(24,1),(41,1),(42,1),(47,1)}
       14:{1,2,3,4,7}:{(21,1),(25,1),(60,1)}
       15:{1,2,4,5,7}:{(8,1),(9,1),(25,1),(26,1),(45,1),(47,1),(60,1)}
       16:{2,3,4,6}:{(8,1),(10,1),(22,1),(26,1),(58,1)}
       17:{1,3,4,6}:{(9,1),(10,1),(23,1),(26,1),(58,1)}
       18:{3,4,6,7}:{(10,1),(11,1),(24,1)}
       19:{3,4,5,6}:{(12,1),(29,1),(30,1),(31,1),(52,1)}
       20:{1,2,4,5,6,7}:{(13,1),(32,1),(49,1),(50,1),(54,1)}
       21:{1,2,3,4,6}:{(14,1),(33,1),(37,1),(55,1)}
       22:{2,3,5,6}:{(12,1),(16,1),(29,1),(34,1),(35,1),(52,1)}
       23:{1,3,5,6}:{(12,1),(17,1),(30,1),(34,1),(36,1),(52,1)}
       24:{3,5,7}:{(12,1),(13,1),(18,1)}
       25:{1,2,3,5,7}:{(14,1),(15,1),(33,1),(37,1)}
       26:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(37,1)}
       27:{2,3,4,6,7}:{(16,1),(18,1),(35,1),(38,1),(49,1),(61,1),(62,1)}
       28:{1,3,4,6,7}:{(17,1),(18,1),(36,1),(38,1),(50,1),(61,1),(62,1)}
       29:{2,4,5,6}:{(19,1),(22,1),(41,1)}
       30:{1,4,5,6}:{(19,1),(23,1),(42,1)}
       31:{3,4,5,7}:{(19,1),(24,1),(39,1),(41,1),(42,1),(59,1)}
       32:{3,5,6,7}:{(20,1),(24,1),(39,1)}
       33:{1,2,3,5}:{(21,1),(45,1)}
       34:{1,2,5,6}:{(22,1),(23,1),(26,1),(47,1)}
       35:{2,3,5,7}:{(22,1),(24,1),(27,1),(41,1),(47,1),(59,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(28,1),(42,1),(47,1),(59,1)}
       37:{1,2,3,6}:{(25,1),(26,1)}
       38:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(47,1),(48,1),(60,1)}
       39:{3,4,6,7}:{(31,1),(32,1),(49,1),(50,1),(61,1)}
       40:{1,2,4,5,6}:{(29,1),(30,1),(34,1),(52,1),(53,1),(55,1)}
       41:{2,4,5,7}:{(29,1),(31,1),(35,1),(49,1)}
       42:{1,4,5,7}:{(30,1),(31,1),(36,1),(50,1)}
       43:{2,3,5,6,7}:{(32,1),(35,1),(49,1),(54,1),(61,1)}
       44:{1,3,5,6,7}:{(32,1),(36,1),(50,1),(54,1),(61,1)}
       45:{1,2,4,5}:{(33,1),(51,1),(55,1)}
       46:{1,2,3,5,6}:{(33,1),(34,1),(37,1),(52,1),(55,1),(56,1)}
       47:{1,2,5,7}:{(34,1),(35,1),(36,1),(38,1)}
       48:{1,2,3,6,7}:{(37,1),(38,1),(56,1),(61,1)}
       49:{2,4,6,7}:{(39,1),(41,1),(43,1)}
       50:{1,4,6,7}:{(39,1),(42,1),(44,1)}
       51:{3,4,5}:{(45,1),(58,1)}
       52:{3,5,6}:{(40,1),(58,1),(59,1)}
       53:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(47,1),(57,1),(59,1),(60,1)}
       54:{1,2,5,6,7}:{(43,1),(44,1),(47,1),(57,1)}
       55:{1,2,4,6}:{(45,1),(46,1),(58,1),(60,1)}
       56:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(59,1),(60,1)}
       57:{1,2,4,6,7}:{(49,1),(50,1),(53,1),(54,1),(61,1)}
       58:{3,4,6}:{(51,1),(52,1),(55,1),(62,1)}
       59:{3,5,7}:{(52,1),(53,1),(61,1),(62,1)}
       60:{1,2,4,7}:{(55,1),(56,1),(62,1)}
       61:{3,6,7}:{(57,1),(59,1)}
       62:{3,4,7}:{(58,1),(59,1),(60,1)}

2190 :   0:{3,4,5,6,7}:{(1,1),(2,1),(19,1),(141,1)}
         1:{2,4,5,6,7}:{(0,1),(5,1),(146,1)}
         2:{1,4,5,6,7}:{(0,1),(6,1),(148,1)}
         3:{2,3,4,5,6}:{(9,1),(10,1),(37,1),(88,1),(118,1)}
         4:{1,2,3,4,6,7}:{(12,1),(14,1),(16,1),(48,1),(52,1),(56,1),(99,1),(103,1),(106,1)}
         5:{2,3,5,6,7}:{(1,1),(13,1),(17,1),(19,1),(136,1)}
         6:{1,3,5,6,7}:{(2,1),(15,1),(18,1),(19,1),(139,1)}
         7:{1,2,4,5,6,7}:{(1,1),(2,1),(17,1),(18,1),(19,1),(59,1),(61,1),(107,1)}
         8:{1,2,3,4,6}:{(12,1),(20,1),(48,1),(64,1)}
         9:{1,2,4,5,6}:{(3,1),(22,1),(23,1),(58,1),(64,1),(98,1)}
        10:{2,3,4,5,7}:{(3,1),(13,1),(23,1),(62,1),(111,1),(136,1)}
        11:{1,3,4,5,6}:{(25,1),(26,1),(37,1),(114,1),(122,1)}
        12:{1,2,3,4,7}:{(8,1),(27,1),(90,1)}
        13:{2,3,4,6,7}:{(5,1),(10,1),(29,1),(38,1)}
        14:{1,2,3,4,7}:{(24,1),(30,1),(116,1)}
        15:{1,3,4,6,7}:{(6,1),(26,1),(32,1),(38,1)}
        16:{1,2,3,5,7}:{(4,1),(33,1),(34,1),(120,1),(124,1),(127,1)}
        17:{1,2,5,6,7}:{(5,1),(29,1),(35,1),(120,1)}
        18:{1,2,5,6,7}:{(6,1),(32,1),(36,1),(124,1)}
        19:{3,5,6,7}:{(7,1),(38,1),(127,1)}
        20:{1,2,3,5}:{(8,1),(39,1)}
        21:{1,3,4,5}:{(39,1),(41,1)}
        22:{1,3,5,6}:{(9,1),(41,1),(42,1)}
        23:{1,2,4,5,7}:{(9,1),(10,1),(29,1),(42,1),(85,1),(90,1),(120,1)}
        24:{1,2,3,4,6}:{(14,1),(43,1),(52,1),(93,1)}
        25:{1,2,4,5,6}:{(11,1),(45,1),(46,1),(60,1),(93,1),(102,1)}
        26:{1,3,4,5,7}:{(11,1),(15,1),(46,1),(62,1),(132,1),(139,1)}
        27:{1,2,3,5,7}:{(12,1),(20,1),(47,1),(48,1)}
        28:{1,3,4,5,7}:{(21,1),(47,1),(49,1),(55,1),(67,1),(100,1)}
        29:{1,2,4,6,7}:{(13,1),(17,1),(23,1),(50,1),(59,1)}
        30:{1,2,3,5,7}:{(14,1),(43,1),(51,1),(52,1)}
        31:{2,3,4,5,7}:{(44,1),(51,1),(53,1),(55,1),(96,1),(104,1)}
        32:{1,2,4,6,7}:{(15,1),(18,1),(46,1),(54,1),(61,1)}
        33:{1,2,4,5,7}:{(16,1),(55,1),(56,1)}
        34:{1,2,3,5,6}:{(16,1),(48,1),(52,1),(56,1),(98,1),(102,1),(105,1)}
        35:{1,3,5,6,7}:{(17,1),(19,1),(50,1),(59,1),(100,1)}
        36:{2,3,5,6,7}:{(18,1),(19,1),(54,1),(61,1),(104,1)}
        37:{3,4,5,6}:{(58,1),(60,1),(62,1),(105,1)}
        38:{3,4,6,7}:{(19,1),(59,1),(61,1),(62,1)}
        39:{1,2,4,5}:{(20,1),(21,1),(63,1),(64,1)}
        40:{1,2,3,5,6}:{(20,1),(22,1),(48,1),(64,1),(65,1),(98,1),(110,1)}
        41:{1,3,4,6}:{(21,1),(22,1),(64,1),(67,1)}
        42:{1,3,5,7}:{(22,1),(23,1),(50,1),(67,1)}
        43:{1,2,3,5}:{(24,1),(68,1)}
        44:{2,3,4,5}:{(68,1),(70,1)}
        45:{2,3,5,6}:{(25,1),(70,1),(71,1)}
        46:{1,2,4,5,7}:{(25,1),(26,1),(32,1),(71,1),(86,1),(116,1),(124,1)}
        47:{1,2,4,5,7}:{(27,1),(28,1),(39,1),(72,1),(73,1),(90,1),(120,1)}
        48:{1,2,3,6}:{(27,1),(73,1)}
        49:{1,3,4,6}:{(28,1),(73,1),(75,1),(82,1)}
        50:{1,3,6,7}:{(29,1),(42,1)}
        51:{1,2,4,5,7}:{(30,1),(31,1),(68,1),(77,1),(78,1),(116,1),(124,1)}
        52:{1,2,3,6}:{(30,1),(78,1)}
        53:{2,3,4,6}:{(31,1),(78,1),(80,1),(82,1)}
        54:{2,3,6,7}:{(32,1),(71,1)}
        55:{3,4,5,7}:{(33,1),(82,1),(127,1)}
        56:{1,2,4,6}:{(33,1),(34,1),(82,1)}
        57:{1,2,3,5,6,7}:{(34,1),(35,1),(36,1),(74,1),(79,1),(84,1),(120,1),(124,1),(127,1),(147,1),(149,1)}
        58:{1,4,5,6}:{(37,1),(75,1),(85,1)}
        59:{1,4,6,7}:{(35,1),(38,1),(85,1)}
        60:{2,4,5,6}:{(37,1),(80,1),(86,1)}
        61:{2,4,6,7}:{(36,1),(38,1),(86,1)}
        62:{3,4,5,7}:{(37,1),(38,1),(85,1),(86,1),(127,1)}
        63:{2,3,4,5}:{(39,1),(88,1)}
        64:{1,2,4,6}:{(39,1),(40,1),(41,1),(88,1),(90,1)}
        65:{1,2,3,5,7}:{(40,1),(42,1),(74,1),(90,1),(120,1),(129,1)}
        66:{1,3,4,5,6}:{(41,1),(75,1),(89,1),(91,1),(126,1)}
        67:{1,3,4,7}:{(41,1),(42,1),(90,1)}
        68:{1,2,4,5}:{(43,1),(44,1),(92,1),(93,1)}
        69:{1,2,3,5,6}:{(43,1),(45,1),(52,1),(93,1),(94,1),(102,1),(131,1)}
        70:{2,3,4,6}:{(44,1),(45,1),(93,1),(96,1)}
        71:{2,3,5,7}:{(45,1),(46,1),(54,1),(96,1)}
        72:{2,3,4,5,7}:{(47,1),(55,1),(63,1),(97,1),(111,1),(136,1)}
        73:{1,2,4,6}:{(47,1),(48,1),(49,1),(97,1),(98,1)}
        74:{1,2,3,6,7}:{(48,1),(50,1),(65,1),(99,1),(143,1)}
        75:{1,3,5,6}:{(49,1),(58,1),(98,1),(100,1),(105,1)}
        76:{1,3,4,6,7}:{(49,1),(50,1),(59,1),(67,1),(99,1),(100,1),(106,1)}
        77:{1,3,4,5,7}:{(51,1),(55,1),(92,1),(101,1),(132,1),(139,1)}
        78:{1,2,4,6}:{(51,1),(52,1),(53,1),(101,1),(102,1)}
        79:{1,2,3,6,7}:{(52,1),(54,1),(94,1),(103,1),(151,1)}
        80:{2,3,5,6}:{(53,1),(60,1),(102,1),(104,1),(105,1)}
        81:{2,3,4,6,7}:{(53,1),(54,1),(61,1),(96,1),(103,1),(104,1),(106,1)}
        82:{3,4,6}:{(55,1),(56,1),(105,1)}
        83:{1,2,4,5,6}:{(56,1),(58,1),(60,1),(98,1),(102,1),(105,1),(107,1),(135,1),(138,1)}
        84:{1,2,4,6,7}:{(56,1),(57,1),(59,1),(61,1),(106,1),(107,1),(152,1),(153,1)}
        85:{1,4,5,7}:{(58,1),(59,1),(62,1),(100,1)}
        86:{2,4,5,7}:{(60,1),(61,1),(62,1),(104,1)}
        87:{3,4,5,6,7}:{(62,1),(108,1),(109,1),(142,1)}
        88:{2,3,4,6}:{(63,1),(64,1),(110,1),(111,1)}
        89:{1,2,4,5,6}:{(64,1),(66,1),(98,1),(110,1),(112,1),(135,1)}
        90:{1,2,4,7}:{(64,1),(65,1),(67,1),(111,1)}
        91:{1,3,4,5,7}:{(66,1),(67,1),(100,1),(112,1),(113,1),(141,1)}
        92:{1,3,4,5}:{(68,1),(114,1)}
        93:{1,2,4,6}:{(68,1),(69,1),(70,1),(114,1),(116,1)}
        94:{1,2,3,5,7}:{(69,1),(71,1),(79,1),(116,1),(124,1),(144,1)}
        95:{2,3,4,5,6}:{(70,1),(80,1),(115,1),(117,1),(126,1)}
        96:{2,3,4,7}:{(70,1),(71,1),(116,1)}
        97:{2,3,4,6}:{(72,1),(73,1),(82,1),(118,1)}
        98:{1,2,5,6}:{(73,1),(75,1),(118,1),(120,1)}
        99:{1,2,4,6,7}:{(73,1),(74,1),(76,1),(90,1),(119,1),(120,1)}
       100:{1,3,5,7}:{(75,1),(76,1),(85,1),(120,1),(127,1)}
       101:{1,3,4,6}:{(77,1),(78,1),(82,1),(122,1)}
       102:{1,2,5,6}:{(78,1),(80,1),(122,1),(124,1)}
       103:{1,2,4,6,7}:{(78,1),(79,1),(81,1),(116,1),(123,1),(124,1)}
       104:{2,3,5,7}:{(80,1),(81,1),(86,1),(124,1),(127,1)}
       105:{3,5,6}:{(82,1),(83,1),(127,1)}
       106:{3,4,6,7}:{(82,1),(84,1),(127,1)}
       107:{1,2,4,5,7}:{(83,1),(84,1),(85,1),(86,1),(120,1),(124,1),(127,1),(146,1),(148,1)}
       108:{1,4,5,6,7}:{(85,1),(87,1),(121,1)}
       109:{2,4,5,6,7}:{(86,1),(87,1),(125,1)}
       110:{2,3,5,6}:{(88,1),(89,1),(129,1)}
       111:{2,3,4,7}:{(88,1),(90,1),(129,1)}
       112:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(120,1),(129,1),(130,1),(146,1)}
       113:{1,3,4,6,7}:{(91,1),(121,1),(130,1),(150,1)}
       114:{1,3,4,6}:{(92,1),(93,1),(131,1),(132,1)}
       115:{1,2,4,5,6}:{(93,1),(95,1),(102,1),(131,1),(133,1),(138,1)}
       116:{1,2,4,7}:{(93,1),(94,1),(96,1),(132,1)}
       117:{2,3,4,5,7}:{(95,1),(96,1),(104,1),(133,1),(134,1),(141,1)}
       118:{2,3,5,6}:{(97,1),(98,1),(105,1),(135,1),(136,1)}
       119:{2,3,4,6,7}:{(97,1),(99,1),(106,1),(111,1),(136,1),(143,1),(152,1)}
       120:{1,2,5,7}:{(98,1),(99,1),(100,1),(136,1)}
       121:{1,3,5,6,7}:{(100,1),(108,1),(113,1),(137,1),(142,1)}
       122:{1,3,5,6}:{(101,1),(102,1),(105,1),(138,1),(139,1)}
       123:{1,3,4,6,7}:{(101,1),(103,1),(106,1),(132,1),(139,1),(151,1),(153,1)}
       124:{1,2,5,7}:{(102,1),(103,1),(104,1),(139,1)}
       125:{2,3,5,6,7}:{(104,1),(109,1),(134,1),(140,1),(142,1)}
       126:{3,4,5,6}:{(105,1),(135,1),(138,1),(141,1)}
       127:{3,5,7}:{(105,1),(106,1),(107,1)}
       128:{1,2,4,5,6,7}:{(107,1),(108,1),(109,1),(137,1),(140,1),(142,1),(152,1),(153,1)}
       129:{2,3,5,7}:{(110,1),(111,1),(112,1),(143,1)}
       130:{1,2,4,6,7}:{(112,1),(113,1),(137,1),(143,1),(152,1)}
       131:{1,3,5,6}:{(114,1),(115,1),(144,1)}
       132:{1,3,4,7}:{(114,1),(116,1),(144,1)}
       133:{1,2,4,5,7}:{(115,1),(116,1),(117,1),(124,1),(144,1),(145,1),(148,1)}
       134:{2,3,4,6,7}:{(117,1),(125,1),(145,1),(150,1)}
       135:{2,4,5,6}:{(118,1),(126,1),(146,1)}
       136:{2,3,5,7}:{(118,1),(119,1),(120,1),(127,1),(146,1)}
       137:{1,2,5,6,7}:{(120,1),(121,1),(130,1),(147,1)}
       138:{1,4,5,6}:{(122,1),(126,1),(148,1)}
       139:{1,3,5,7}:{(122,1),(123,1),(124,1),(127,1),(148,1)}
       140:{1,2,5,6,7}:{(124,1),(125,1),(145,1),(149,1)}
       141:{3,4,5,7}:{(126,1),(127,1),(146,1),(148,1),(150,1)}
       142:{3,5,6,7}:{(127,1),(128,1),(150,1)}
       143:{2,3,6,7}:{(129,1),(130,1)}
       144:{1,3,5,7}:{(131,1),(132,1),(133,1),(151,1)}
       145:{1,2,4,6,7}:{(133,1),(134,1),(140,1),(151,1),(153,1)}
       146:{2,4,5,7}:{(135,1),(136,1),(141,1),(152,1)}
       147:{2,3,5,6,7}:{(136,1),(137,1),(142,1),(143,1),(152,1)}
       148:{1,4,5,7}:{(138,1),(139,1),(141,1),(153,1)}
       149:{1,3,5,6,7}:{(139,1),(140,1),(142,1),(151,1),(153,1)}
       150:{3,4,6,7}:{(141,1),(142,1),(152,1),(153,1)}
       151:{1,3,6,7}:{(144,1),(145,1)}
       152:{2,4,6,7}:{(146,1),(147,1),(150,1)}
       153:{1,4,6,7}:{(148,1),(149,1),(150,1)}

2191 :  0:{1,2,3,4,7}:{(1,1),(2,1),(36,1),(41,1)}
        1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(7,1),(21,1),(24,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        3:{1,3,4,5,7}:{(6,1),(8,1),(23,1),(32,1),(55,1)}
        4:{1,2,3,4}:{(9,1)}
        5:{1,2,3,5}:{(1,1),(11,1)}
        6:{1,2,4,5,7}:{(2,1),(3,1),(11,1),(14,1),(15,1),(41,1),(47,1)}
        7:{1,2,3,6}:{(2,1),(15,1)}
        8:{1,3,4,6}:{(3,1),(15,1),(17,1),(39,1)}
        9:{1,2,3,5}:{(4,1),(20,1),(21,1)}
       10:{2,3,4,5}:{(20,1),(22,1),(23,1)}
       11:{1,2,4,5}:{(5,1),(23,1),(24,1)}
       12:{1,2,3,5,6}:{(5,1),(7,1),(21,1),(24,1),(25,1),(30,1),(51,1),(54,1)}
       13:{3,4,5,6}:{(26,1),(27,1),(28,1),(54,1)}
       14:{2,3,4,5,7}:{(6,1),(23,1),(29,1),(55,1),(60,1)}
       15:{1,2,4,6}:{(6,1),(7,1),(8,1),(29,1),(30,1)}
       16:{1,2,3,6,7}:{(7,1),(25,1),(31,1),(73,1),(75,1)}
       17:{1,3,5,6}:{(8,1),(26,1),(30,1),(32,1),(54,1)}
       18:{1,3,4,6,7}:{(8,1),(31,1),(32,1),(55,1),(57,1),(75,1)}
       19:{1,4,5,6,7}:{(33,1),(57,1)}
       20:{1,2,4,5}:{(9,1),(10,1),(34,1),(35,1)}
       21:{1,2,3,6}:{(9,1),(35,1),(36,1)}
       22:{2,3,4,6}:{(10,1),(35,1),(37,1),(38,1),(39,1)}
       23:{3,4,5}:{(11,1),(39,1)}
       24:{1,2,4,6}:{(11,1),(12,1),(39,1),(41,1)}
       25:{1,2,3,5,7}:{(12,1),(16,1),(36,1),(41,1),(47,1),(64,1),(67,1)}
       26:{1,4,5,6}:{(13,1),(17,1),(42,1)}
       27:{2,4,5,6}:{(13,1),(37,1),(43,1)}
       28:{3,4,5,7}:{(13,1),(42,1),(43,1),(44,1),(67,1)}
       29:{2,3,4,6}:{(14,1),(15,1),(39,1),(45,1)}
       30:{1,2,5,6}:{(15,1),(17,1),(45,1),(47,1)}
       31:{1,2,4,6,7}:{(15,1),(16,1),(18,1),(41,1),(46,1),(47,1)}
       32:{1,3,5,7}:{(17,1),(18,1),(42,1),(47,1),(67,1)}
       33:{3,5,6,7}:{(19,1),(44,1),(49,1)}
       34:{1,3,4,5}:{(20,1),(23,1),(50,1)}
       35:{1,2,4,6}:{(20,1),(21,1),(22,1),(50,1),(51,1),(52,1)}
       36:{1,2,3,7}:{(21,1),(52,1)}
       37:{2,3,5,6}:{(22,1),(27,1),(51,1),(53,1),(54,1)}
       38:{2,3,4,7}:{(22,1),(52,1),(53,1),(55,1)}
       39:{3,4,6}:{(23,1),(24,1),(54,1),(55,1)}
       40:{1,2,4,5,6}:{(24,1),(26,1),(27,1),(30,1),(51,1),(54,1),(56,1),(59,1),(71,1)}
       41:{1,2,4,7}:{(24,1),(25,1),(55,1)}
       42:{1,4,5,7}:{(26,1),(28,1),(32,1),(57,1)}
       43:{2,4,5,7}:{(27,1),(28,1),(53,1),(58,1)}
       44:{3,4,6,7}:{(28,1),(33,1),(57,1),(58,1),(75,1)}
       45:{2,3,5,6}:{(29,1),(30,1),(54,1),(59,1),(60,1)}
       46:{2,3,4,6,7}:{(29,1),(31,1),(55,1),(60,1),(75,1),(76,1)}
       47:{1,2,5,7}:{(30,1),(31,1),(32,1),(60,1)}
       48:{1,3,5,6,7}:{(32,1),(33,1),(57,1),(61,1),(75,1)}
       49:{2,5,6,7}:{(33,1),(58,1)}
       50:{1,3,4,6}:{(34,1),(35,1),(39,1),(62,1),(63,1)}
       51:{1,2,5,6}:{(35,1),(37,1),(62,1),(64,1)}
       52:{1,2,4,7}:{(35,1),(36,1),(38,1),(63,1),(64,1)}
       53:{2,3,5,7}:{(37,1),(38,1),(43,1),(64,1),(65,1),(67,1)}
       54:{3,5,6}:{(39,1),(40,1),(67,1)}
       55:{3,4,7}:{(39,1),(41,1),(67,1)}
       56:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(43,1),(47,1),(64,1),(67,1),(68,1),(69,1),(77,1)}
       57:{1,4,6,7}:{(42,1),(44,1),(48,1)}
       58:{2,4,6,7}:{(43,1),(44,1),(49,1),(65,1)}
       59:{2,4,5,6}:{(45,1),(66,1),(69,1)}
       60:{2,3,5,7}:{(45,1),(46,1),(47,1),(67,1),(69,1)}
       61:{1,2,5,6,7}:{(47,1),(48,1),(49,1),(68,1),(70,1),(83,1)}
       62:{1,3,5,6}:{(50,1),(51,1),(54,1),(71,1),(72,1)}
       63:{1,3,4,7}:{(50,1),(52,1),(55,1),(72,1)}
       64:{1,2,5,7}:{(51,1),(52,1),(53,1),(72,1),(73,1)}
       65:{2,3,6,7}:{(53,1),(58,1),(73,1),(75,1)}
       66:{3,4,5,6}:{(54,1),(59,1),(71,1),(74,1)}
       67:{3,5,7}:{(54,1),(55,1),(56,1),(75,1)}
       68:{1,2,4,6,7}:{(56,1),(57,1),(58,1),(61,1),(73,1),(75,1),(76,1),(81,1)}
       69:{2,4,5,7}:{(59,1),(60,1),(74,1),(76,1)}
       70:{2,3,5,6,7}:{(60,1),(61,1),(75,1),(76,1),(82,1)}
       71:{1,4,5,6}:{(62,1),(66,1),(77,1)}
       72:{1,3,5,7}:{(62,1),(63,1),(64,1),(67,1),(77,1),(78,1)}
       73:{1,2,6,7}:{(64,1),(65,1),(78,1)}
       74:{3,4,5,7}:{(66,1),(67,1),(69,1),(77,1),(79,1)}
       75:{3,6,7}:{(67,1),(68,1)}
       76:{2,4,6,7}:{(69,1),(70,1),(79,1)}
       77:{1,4,5,7}:{(71,1),(72,1),(74,1),(81,1)}
       78:{1,3,6,7}:{(72,1),(73,1),(75,1),(81,1)}
       79:{3,4,6,7}:{(74,1),(75,1),(76,1),(81,1),(82,1)}
       80:{2,4,5,6,7}:{(76,1),(82,1)}
       81:{1,4,6,7}:{(77,1),(78,1),(79,1),(83,1)}
       82:{3,5,6,7}:{(79,1),(80,1),(83,1)}
       83:{1,5,6,7}:{(81,1),(82,1)}

2192 :  0:{1,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,3,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,4,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,2,4,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,5,7}:{(4,1),(8,1),(9,1)}
        7:{1,3,4,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,2,4,5,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,6}:{(6,1),(12,1),(27,1)}
       10:{1,2,3,4,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{1,3,5,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6}:{(8,1),(9,1),(16,1),(23,1)}
       13:{2,3,4,5,6,7}:{(9,1),(17,1),(32,1)}
       14:{1,2,3,5,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{1,3,4,5,7}:{(11,1),(18,1),(20,1)}
       16:{1,3,5,6}:{(11,1),(12,1),(20,1)}
       17:{1,2,4,5,6,7}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,2,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(14,1),(16,1),(23,1),(31,1)}
       20:{1,3,4,6}:{(15,1),(16,1),(23,1)}
       21:{1,3,5,6,7}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,5,7}:{(18,1),(27,1),(34,1)}
       23:{1,2,4,6}:{(18,1),(19,1),(20,1),(27,1)}
       24:{1,2,3,5,6,7}:{(19,1),(21,1),(29,1),(34,1)}
       25:{1,3,4,5,6}:{(20,1),(28,1),(30,1)}
       26:{1,3,4,6,7}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,4,6}:{(22,1),(23,1),(31,1)}
       28:{1,2,4,5,6}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{1,3,4,5,7}:{(25,1),(26,1),(33,1)}
       31:{2,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{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:{2,3,5,7}:{(31,1),(32,1),(33,1)}

2193 :   0:{2,3,4,5,6}:{(2,1),(3,1),(32,1),(61,1),(71,1)}
         1:{1,2,3,4,6}:{(4,1),(5,1),(21,1),(23,1)}
         2:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(21,1),(49,1),(55,1)}
         3:{2,3,4,5,7}:{(0,1),(8,1),(9,1),(47,1),(78,1),(90,1)}
         4:{1,2,3,4,7}:{(1,1),(12,1),(35,1)}
         5:{1,2,3,5}:{(1,1),(10,1)}
         6:{1,3,4,5}:{(10,1),(15,1)}
         7:{1,3,5,6}:{(2,1),(15,1),(16,1)}
         8:{1,2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(35,1),(65,1),(72,1)}
         9:{2,3,4,6,7}:{(3,1),(17,1),(18,1),(73,1)}
        10:{1,2,4,5}:{(5,1),(6,1),(19,1),(21,1)}
        11:{1,2,3,4,6,7}:{(4,1),(22,1),(23,1),(50,1),(52,1),(82,1),(86,1),(120,1),(121,1)}
        12:{1,2,3,5,7}:{(4,1),(5,1),(20,1),(23,1)}
        13:{1,2,3,5,6}:{(5,1),(7,1),(21,1),(23,1),(24,1),(45,1),(49,1)}
        14:{1,3,4,5,7}:{(6,1),(20,1),(26,1),(27,1),(51,1),(56,1)}
        15:{1,3,4,6}:{(6,1),(7,1),(21,1),(27,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(27,1),(28,1)}
        17:{1,2,4,6,7}:{(8,1),(9,1),(28,1),(29,1),(57,1)}
        18:{2,3,5,6,7}:{(9,1),(29,1),(30,1),(58,1),(78,1)}
        19:{2,3,4,5}:{(10,1),(32,1)}
        20:{1,2,4,5,7}:{(10,1),(12,1),(14,1),(31,1),(34,1),(35,1),(65,1)}
        21:{1,2,4,6}:{(10,1),(13,1),(15,1),(32,1),(35,1)}
        22:{1,2,3,5,7}:{(11,1),(36,1),(37,1),(65,1),(101,1),(135,1)}
        23:{1,2,3,6}:{(12,1),(34,1)}
        24:{1,2,3,5,7}:{(13,1),(16,1),(35,1),(38,1),(60,1),(65,1)}
        25:{1,3,4,5,6}:{(15,1),(33,1),(39,1),(40,1),(95,1)}
        26:{1,3,4,6}:{(14,1),(34,1),(40,1),(68,1)}
        27:{1,3,4,7}:{(15,1),(16,1),(35,1)}
        28:{1,3,6,7}:{(16,1),(17,1)}
        29:{1,2,5,6,7}:{(17,1),(18,1),(42,1),(65,1)}
        30:{2,4,5,6,7}:{(18,1),(44,1),(96,1)}
        31:{2,3,4,5,7}:{(19,1),(20,1),(46,1),(47,1),(51,1),(78,1)}
        32:{2,3,4,6}:{(19,1),(21,1),(45,1),(47,1)}
        33:{1,2,4,5,6}:{(21,1),(25,1),(45,1),(48,1),(49,1),(77,1)}
        34:{1,2,4,6}:{(20,1),(23,1),(26,1),(46,1),(49,1)}
        35:{1,2,4,7}:{(21,1),(24,1),(27,1),(47,1)}
        36:{1,2,4,5,7}:{(22,1),(51,1),(52,1)}
        37:{1,2,3,5,6}:{(22,1),(23,1),(49,1),(52,1),(80,1),(117,1),(120,1)}
        38:{1,2,3,6,7}:{(23,1),(24,1),(28,1),(50,1),(76,1)}
        39:{1,3,4,5,7}:{(25,1),(27,1),(48,1),(54,1),(56,1),(114,1)}
        40:{1,3,5,6}:{(26,1),(49,1),(55,1),(56,1),(80,1)}
        41:{1,3,4,6,7}:{(26,1),(27,1),(28,1),(50,1),(56,1),(57,1),(86,1)}
        42:{1,3,5,6,7}:{(28,1),(29,1),(56,1),(57,1),(58,1)}
        43:{1,2,4,5,6,7}:{(29,1),(30,1),(57,1),(58,1),(59,1),(81,1),(91,1),(93,1)}
        44:{3,4,5,6,7}:{(30,1),(58,1),(59,1),(114,1)}
        45:{2,3,5,6}:{(32,1),(33,1),(60,1)}
        46:{2,3,4,6}:{(31,1),(34,1),(61,1),(68,1)}
        47:{2,3,4,7}:{(32,1),(35,1),(60,1)}
        48:{1,2,4,5,7}:{(33,1),(35,1),(39,1),(60,1),(63,1),(65,1),(96,1)}
        49:{1,2,5,6}:{(34,1),(40,1),(61,1),(65,1)}
        50:{1,2,4,6,7}:{(34,1),(35,1),(38,1),(41,1),(62,1),(65,1)}
        51:{3,4,5,7}:{(36,1),(68,1),(101,1)}
        52:{1,2,4,6}:{(36,1),(37,1),(68,1)}
        53:{1,2,3,5,6,7}:{(37,1),(38,1),(42,1),(65,1),(69,1),(74,1),(94,1),(101,1),(132,1),(135,1),(136,1)}
        54:{1,3,4,6,7}:{(39,1),(63,1),(70,1),(127,1)}
        55:{1,4,5,6}:{(40,1),(71,1),(72,1)}
        56:{1,3,5,7}:{(40,1),(41,1),(65,1),(72,1),(101,1)}
        57:{1,4,6,7}:{(42,1),(72,1),(73,1)}
        58:{3,5,6,7}:{(43,1),(73,1),(101,1)}
        59:{1,4,5,6,7}:{(44,1),(75,1),(130,1)}
        60:{2,3,5,7}:{(45,1),(47,1),(48,1),(76,1)}
        61:{2,3,5,6}:{(46,1),(49,1),(77,1),(78,1),(80,1)}
        62:{2,3,4,6,7}:{(46,1),(47,1),(50,1),(76,1),(78,1),(86,1),(111,1)}
        63:{1,2,4,6,7}:{(48,1),(54,1),(76,1),(79,1),(111,1)}
        64:{1,2,4,5,6}:{(49,1),(52,1),(55,1),(77,1),(80,1),(81,1),(88,1),(113,1),(117,1)}
        65:{1,2,5,7}:{(49,1),(50,1),(56,1),(78,1)}
        66:{2,3,4,5,7}:{(51,1),(83,1),(84,1),(118,1),(123,1),(147,1)}
        67:{1,3,4,5,7}:{(51,1),(83,1),(85,1),(119,1),(141,1),(153,1)}
        68:{3,4,6}:{(51,1),(52,1),(80,1)}
        69:{1,2,4,6,7}:{(52,1),(53,1),(57,1),(81,1),(86,1),(91,1),(111,1),(140,1)}
        70:{1,3,5,6,7}:{(54,1),(56,1),(79,1),(87,1),(115,1)}
        71:{3,4,5,6}:{(55,1),(80,1),(88,1),(90,1)}
        72:{1,4,5,7}:{(55,1),(56,1),(57,1),(90,1)}
        73:{3,4,6,7}:{(57,1),(58,1),(90,1),(91,1)}
        74:{2,3,5,6,7}:{(58,1),(91,1),(93,1),(118,1),(126,1)}
        75:{1,3,5,6,7}:{(58,1),(59,1),(92,1),(93,1),(119,1)}
        76:{2,3,6,7}:{(60,1),(63,1)}
        77:{2,4,5,6}:{(61,1),(95,1),(96,1)}
        78:{2,3,5,7}:{(61,1),(62,1),(65,1),(96,1),(101,1)}
        79:{1,2,5,6,7}:{(63,1),(65,1),(70,1),(94,1)}
        80:{3,5,6}:{(64,1),(68,1),(101,1)}
        81:{1,2,4,5,7}:{(64,1),(65,1),(69,1),(72,1),(96,1),(101,1),(108,1),(130,1),(135,1)}
        82:{1,2,3,4,7}:{(98,1),(102,1),(151,1)}
        83:{1,2,4,5,7}:{(66,1),(67,1),(102,1),(103,1),(133,1),(135,1),(151,1)}
        84:{2,3,4,6}:{(66,1),(68,1),(99,1),(103,1)}
        85:{1,3,4,6}:{(67,1),(68,1),(100,1),(103,1)}
        86:{3,4,6,7}:{(68,1),(69,1),(101,1)}
        87:{1,4,5,6,7}:{(70,1),(72,1),(106,1)}
        88:{2,4,5,6}:{(71,1),(99,1),(108,1)}
        89:{1,3,4,5,6}:{(71,1),(100,1),(107,1),(109,1),(149,1)}
        90:{3,4,5,7}:{(71,1),(72,1),(73,1),(101,1),(108,1)}
        91:{2,4,6,7}:{(73,1),(74,1),(108,1)}
        92:{1,3,4,6,7}:{(73,1),(75,1),(109,1),(110,1)}
        93:{1,2,5,6,7}:{(74,1),(75,1),(110,1),(135,1)}
        94:{2,3,5,6,7}:{(76,1),(78,1),(79,1),(111,1),(115,1)}
        95:{3,4,5,6}:{(77,1),(80,1),(113,1),(114,1)}
        96:{2,4,5,7}:{(77,1),(78,1),(111,1),(114,1)}
        97:{1,2,4,5,6,7}:{(79,1),(81,1),(87,1),(111,1),(115,1),(122,1),(140,1),(144,1)}
        98:{1,2,3,4,6}:{(82,1),(116,1),(120,1),(145,1)}
        99:{2,3,5,6}:{(80,1),(84,1),(88,1),(117,1),(118,1)}
       100:{1,3,5,6}:{(80,1),(85,1),(113,1),(117,1),(119,1)}
       101:{3,5,7}:{(80,1),(81,1),(86,1)}
       102:{1,2,3,5,7}:{(82,1),(83,1),(116,1),(120,1)}
       103:{1,2,4,6}:{(83,1),(84,1),(85,1),(117,1),(120,1)}
       104:{2,3,4,6,7}:{(84,1),(86,1),(91,1),(118,1),(121,1),(126,1),(147,1)}
       105:{1,3,4,6,7}:{(85,1),(86,1),(119,1),(121,1),(140,1),(152,1),(153,1)}
       106:{3,4,5,6,7}:{(87,1),(90,1),(115,1),(122,1)}
       107:{1,2,4,5,6}:{(88,1),(89,1),(117,1),(124,1),(125,1),(145,1)}
       108:{2,4,5,7}:{(88,1),(90,1),(91,1),(118,1)}
       109:{1,3,4,5,7}:{(89,1),(90,1),(92,1),(119,1),(125,1),(153,1)}
       110:{1,2,4,6,7}:{(91,1),(92,1),(93,1),(125,1),(126,1)}
       111:{2,4,6,7}:{(94,1),(96,1),(127,1)}
       112:{2,3,4,5,6}:{(95,1),(99,1),(128,1),(129,1),(137,1)}
       113:{1,4,5,6}:{(95,1),(100,1),(130,1)}
       114:{3,4,5,7}:{(95,1),(96,1),(101,1),(127,1),(130,1)}
       115:{3,5,6,7}:{(97,1),(101,1),(127,1)}
       116:{1,2,3,5}:{(98,1),(133,1)}
       117:{1,2,5,6}:{(99,1),(100,1),(103,1),(135,1)}
       118:{2,3,5,7}:{(99,1),(101,1),(104,1),(108,1),(135,1)}
       119:{1,3,5,7}:{(100,1),(101,1),(105,1),(130,1),(135,1)}
       120:{1,2,3,6}:{(102,1),(103,1)}
       121:{1,2,4,6,7}:{(103,1),(104,1),(105,1),(135,1),(136,1),(151,1)}
       122:{2,4,5,6,7}:{(106,1),(108,1),(131,1)}
       123:{2,3,4,5}:{(133,1),(137,1)}
       124:{2,3,5,6}:{(107,1),(137,1),(138,1)}
       125:{1,2,4,5,7}:{(107,1),(108,1),(109,1),(110,1),(135,1),(138,1),(151,1)}
       126:{2,3,6,7}:{(110,1),(138,1)}
       127:{3,4,6,7}:{(111,1),(114,1),(115,1),(140,1)}
       128:{1,2,4,5,6}:{(112,1),(113,1),(117,1),(142,1),(143,1),(145,1)}
       129:{2,3,4,5,7}:{(112,1),(114,1),(118,1),(139,1),(143,1),(147,1)}
       130:{1,4,5,7}:{(113,1),(114,1),(119,1),(140,1)}
       131:{2,3,5,6,7}:{(115,1),(118,1),(122,1),(139,1),(144,1)}
       132:{1,3,5,6,7}:{(115,1),(119,1),(140,1),(144,1),(152,1)}
       133:{1,2,4,5}:{(116,1),(123,1),(141,1),(145,1)}
       134:{1,2,3,5,6}:{(116,1),(117,1),(120,1),(124,1),(142,1),(145,1),(146,1)}
       135:{1,2,5,7}:{(117,1),(118,1),(119,1),(121,1)}
       136:{1,2,3,6,7}:{(120,1),(121,1),(126,1),(146,1),(152,1)}
       137:{2,3,4,6}:{(123,1),(124,1),(145,1),(147,1)}
       138:{2,3,5,7}:{(124,1),(125,1),(126,1),(147,1)}
       139:{2,3,4,6,7}:{(127,1),(129,1),(131,1),(148,1)}
       140:{1,4,6,7}:{(127,1),(130,1),(132,1)}
       141:{1,3,4,5}:{(133,1),(149,1)}
       142:{1,3,5,6}:{(128,1),(149,1),(150,1)}
       143:{1,2,4,5,7}:{(128,1),(129,1),(130,1),(135,1),(148,1),(150,1),(151,1)}
       144:{1,2,5,6,7}:{(131,1),(132,1),(135,1),(148,1)}
       145:{1,2,4,6}:{(133,1),(134,1),(137,1),(149,1),(151,1)}
       146:{1,2,3,5,7}:{(134,1),(135,1),(136,1),(138,1),(150,1),(151,1)}
       147:{2,3,4,7}:{(137,1),(138,1),(151,1)}
       148:{1,2,4,6,7}:{(139,1),(140,1),(143,1),(144,1),(152,1)}
       149:{1,3,4,6}:{(141,1),(142,1),(145,1),(153,1)}
       150:{1,3,5,7}:{(142,1),(143,1),(152,1),(153,1)}
       151:{1,2,4,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{1,3,6,7}:{(148,1),(150,1)}
       153:{1,3,4,7}:{(149,1),(150,1),(151,1)}

2194 :   0:{2,3,4,5,6}:{(1,1),(2,1),(20,1),(68,1),(75,1)}
         1:{2,3,4,5,7}:{(0,1),(3,1),(4,1),(30,1),(55,1),(62,1)}
         2:{1,2,4,5,6}:{(0,1),(4,1),(5,1),(13,1),(60,1),(63,1)}
         3:{2,3,4,6,7}:{(1,1),(8,1),(9,1),(50,1)}
         4:{1,2,4,5,7}:{(1,1),(2,1),(9,1),(10,1),(22,1),(47,1),(51,1)}
         5:{1,3,5,6}:{(2,1),(10,1),(11,1)}
         6:{1,2,3,5,6}:{(5,1),(12,1),(13,1),(31,1),(56,1),(60,1)}
         7:{3,4,5,6,7}:{(14,1),(15,1),(37,1),(80,1)}
         8:{2,3,5,6,7}:{(3,1),(15,1),(16,1),(37,1),(55,1)}
         9:{1,2,4,6,7}:{(3,1),(4,1),(16,1),(17,1),(38,1)}
        10:{1,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
        11:{1,3,4,6}:{(5,1),(13,1),(18,1),(19,1)}
        12:{1,2,3,5,7}:{(6,1),(10,1),(21,1),(22,1),(44,1),(47,1)}
        13:{1,2,4,6}:{(6,1),(11,1),(20,1),(22,1),(23,1)}
        14:{1,4,5,6,7}:{(7,1),(24,1),(90,1)}
        15:{2,4,5,6,7}:{(7,1),(8,1),(67,1)}
        16:{1,2,5,6,7}:{(8,1),(9,1),(26,1),(47,1)}
        17:{1,3,6,7}:{(9,1),(10,1)}
        18:{1,3,4,7}:{(10,1),(11,1),(22,1)}
        19:{1,3,4,5}:{(11,1),(23,1)}
        20:{2,3,4,6}:{(13,1),(30,1),(31,1),(56,1)}
        21:{1,2,3,6,7}:{(12,1),(17,1),(34,1),(56,1)}
        22:{1,2,4,7}:{(12,1),(13,1),(18,1),(30,1)}
        23:{1,2,4,5}:{(13,1),(19,1),(31,1)}
        24:{1,3,5,6,7}:{(14,1),(32,1),(36,1),(37,1),(83,1)}
        25:{1,2,4,5,6,7}:{(14,1),(15,1),(16,1),(36,1),(37,1),(38,1),(59,1),(61,1)}
        26:{1,3,5,6,7}:{(16,1),(17,1),(37,1),(38,1),(39,1)}
        27:{1,3,4,6,7}:{(17,1),(18,1),(34,1),(38,1),(39,1),(40,1),(58,1)}
        28:{1,3,4,5,7}:{(18,1),(19,1),(35,1),(39,1),(40,1),(80,1)}
        29:{1,3,4,5,6}:{(41,1),(42,1),(75,1),(87,1),(94,1)}
        30:{2,3,4,7}:{(20,1),(22,1),(44,1)}
        31:{2,3,5}:{(20,1),(23,1)}
        32:{1,3,4,6,7}:{(24,1),(41,1),(45,1),(50,1)}
        33:{1,2,3,5,6,7}:{(21,1),(26,1),(46,1),(47,1),(49,1),(68,1),(69,1),(72,1),(93,1),(94,1)}
        34:{1,2,4,6,7}:{(21,1),(22,1),(27,1),(43,1),(47,1),(48,1)}
        35:{1,2,4,5,7}:{(22,1),(23,1),(28,1),(44,1),(47,1),(48,1),(67,1)}
        36:{1,2,5,6,7}:{(24,1),(45,1),(49,1),(93,1)}
        37:{3,5,6,7}:{(25,1),(50,1),(72,1)}
        38:{1,4,6,7}:{(26,1),(50,1),(51,1)}
        39:{1,3,5,7}:{(27,1),(47,1),(51,1),(52,1),(72,1)}
        40:{1,3,4,6}:{(28,1),(48,1),(52,1),(92,1)}
        41:{1,3,4,5,7}:{(29,1),(32,1),(53,1),(62,1),(83,1),(96,1)}
        42:{1,2,4,5,6}:{(29,1),(53,1),(54,1),(77,1),(86,1),(101,1)}
        43:{2,3,4,6,7}:{(30,1),(34,1),(55,1),(56,1),(58,1),(81,1)}
        44:{2,3,5,7}:{(30,1),(31,1),(35,1),(56,1)}
        45:{1,2,4,6,7}:{(32,1),(36,1),(53,1),(57,1),(61,1)}
        46:{1,2,4,6,7}:{(33,1),(38,1),(58,1),(59,1),(61,1),(81,1),(99,1)}
        47:{1,2,5,7}:{(34,1),(39,1),(55,1),(60,1)}
        48:{1,2,4,6}:{(35,1),(40,1),(56,1),(60,1),(81,1)}
        49:{2,3,5,6,7}:{(36,1),(37,1),(57,1),(61,1),(84,1)}
        50:{3,4,6,7}:{(37,1),(38,1),(61,1),(62,1)}
        51:{1,4,5,7}:{(38,1),(39,1),(62,1),(63,1)}
        52:{1,3,5,6}:{(39,1),(40,1),(60,1),(63,1),(85,1)}
        53:{1,2,4,5,7}:{(41,1),(42,1),(45,1),(65,1),(74,1),(88,1),(93,1)}
        54:{2,3,5,6}:{(42,1),(65,1),(66,1)}
        55:{2,3,5,7}:{(43,1),(47,1),(67,1),(68,1),(72,1)}
        56:{2,3,6}:{(44,1),(48,1)}
        57:{2,3,6,7}:{(45,1),(65,1)}
        58:{3,4,6,7}:{(46,1),(72,1),(92,1)}
        59:{1,2,4,5,7}:{(46,1),(47,1),(51,1),(67,1),(72,1),(73,1),(74,1),(90,1),(93,1)}
        60:{1,2,5,6}:{(47,1),(48,1),(52,1),(68,1)}
        61:{2,4,6,7}:{(49,1),(50,1),(74,1)}
        62:{3,4,5,7}:{(50,1),(51,1),(72,1),(74,1),(75,1)}
        63:{1,4,5,6}:{(51,1),(52,1),(75,1)}
        64:{1,2,3,5,6}:{(54,1),(76,1),(77,1),(97,1),(101,1),(104,1)}
        65:{2,3,5,7}:{(53,1),(54,1),(57,1),(78,1)}
        66:{2,3,4,6}:{(54,1),(77,1),(78,1),(79,1)}
        67:{2,4,5,7}:{(55,1),(80,1),(81,1)}
        68:{2,3,5,6}:{(55,1),(56,1),(60,1),(81,1),(85,1)}
        69:{1,2,3,6,7}:{(57,1),(76,1),(82,1),(104,1)}
        70:{1,3,4,6,7}:{(58,1),(82,1),(83,1),(96,1),(99,1),(104,1)}
        71:{2,3,4,6,7}:{(57,1),(58,1),(61,1),(78,1),(82,1),(84,1),(100,1)}
        72:{3,5,7}:{(58,1),(59,1),(85,1)}
        73:{1,2,4,5,6}:{(59,1),(60,1),(63,1),(81,1),(85,1),(86,1),(99,1),(101,1)}
        74:{2,4,5,7}:{(61,1),(62,1),(84,1),(86,1)}
        75:{3,4,5,6}:{(62,1),(63,1),(85,1),(86,1)}
        76:{1,2,3,5,7}:{(64,1),(65,1),(69,1),(88,1),(93,1),(102,1)}
        77:{1,2,4,6}:{(64,1),(66,1),(87,1),(88,1),(89,1)}
        78:{2,3,4,7}:{(65,1),(66,1),(88,1)}
        79:{2,3,4,5}:{(66,1),(89,1)}
        80:{3,4,5,7}:{(67,1),(72,1),(90,1),(92,1)}
        81:{2,4,6}:{(67,1),(68,1),(92,1)}
        82:{1,2,4,6,7}:{(69,1),(70,1),(71,1),(88,1),(93,1),(103,1)}
        83:{1,3,5,7}:{(70,1),(72,1),(90,1),(93,1),(94,1)}
        84:{2,3,5,7}:{(71,1),(72,1),(74,1),(93,1),(95,1)}
        85:{3,5,6}:{(72,1),(73,1),(92,1)}
        86:{2,4,5,6}:{(74,1),(75,1),(95,1)}
        87:{1,3,4,6}:{(77,1),(96,1),(97,1),(104,1)}
        88:{1,2,4,7}:{(76,1),(77,1),(78,1),(96,1)}
        89:{1,2,4,5}:{(77,1),(79,1),(97,1)}
        90:{1,4,5,7}:{(80,1),(83,1),(99,1)}
        91:{2,3,4,5,7}:{(78,1),(79,1),(80,1),(84,1),(98,1),(100,1)}
        92:{3,4,6}:{(80,1),(81,1),(85,1),(99,1)}
        93:{1,2,5,7}:{(82,1),(83,1),(84,1),(101,1)}
        94:{1,3,5,6}:{(83,1),(85,1),(99,1),(101,1),(104,1)}
        95:{2,3,5,6}:{(84,1),(85,1),(86,1),(100,1),(101,1)}
        96:{1,3,4,7}:{(87,1),(88,1),(102,1)}
        97:{1,3,5}:{(87,1),(89,1)}
        98:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{1,4,6}:{(90,1),(92,1),(94,1)}
       100:{2,3,4,6}:{(91,1),(92,1),(95,1),(103,1)}
       101:{1,2,5,6}:{(93,1),(94,1),(95,1),(103,1)}
       102:{1,3,5,7}:{(96,1),(97,1),(98,1),(104,1)}
       103:{1,2,4,6}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{1,3,6}:{(102,1),(103,1)}

2195 :   0:{2,3,4,5,6}:{(2,1),(3,1),(38,1),(63,1),(92,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(22,1),(97,1)}
         2:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(47,1),(50,1),(79,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(26,1),(78,1),(80,1)}
         4:{1,4,5,6,7}:{(1,1),(10,1),(101,1)}
         5:{2,4,5,6,7}:{(1,1),(11,1),(91,1)}
         6:{2,3,4,6,7}:{(2,1),(11,1),(13,1),(33,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(13,1),(14,1),(36,1),(62,1),(65,1)}
         8:{1,3,5,6}:{(3,1),(14,1),(16,1)}
         9:{1,3,4,5,6}:{(17,1),(18,1),(63,1),(71,1),(102,1)}
        10:{1,3,5,6,7}:{(4,1),(19,1),(20,1),(22,1),(95,1)}
        11:{2,3,5,6,7}:{(5,1),(6,1),(21,1),(22,1),(79,1)}
        12:{1,2,4,5,6,7}:{(4,1),(5,1),(20,1),(21,1),(22,1),(45,1),(46,1),(76,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(21,1),(23,1),(46,1)}
        14:{1,3,5,7}:{(7,1),(8,1),(23,1),(25,1)}
        15:{1,2,3,5,6}:{(8,1),(24,1),(26,1),(53,1),(80,1),(81,1)}
        16:{1,3,4,6}:{(8,1),(25,1),(26,1),(27,1)}
        17:{1,3,4,5,7}:{(9,1),(19,1),(28,1),(47,1),(82,1),(95,1)}
        18:{1,2,4,5,6}:{(9,1),(28,1),(29,1),(56,1),(77,1),(96,1)}
        19:{1,3,4,6,7}:{(10,1),(17,1),(30,1),(33,1)}
        20:{1,2,5,6,7}:{(10,1),(30,1),(31,1),(87,1)}
        21:{1,2,5,6,7}:{(11,1),(13,1),(32,1),(65,1)}
        22:{3,5,6,7}:{(12,1),(33,1),(89,1)}
        23:{1,3,6,7}:{(13,1),(14,1)}
        24:{1,2,3,5,7}:{(14,1),(15,1),(34,1),(36,1),(65,1),(67,1)}
        25:{1,3,4,7}:{(14,1),(16,1),(36,1)}
        26:{1,2,4,6}:{(15,1),(16,1),(36,1),(38,1),(39,1)}
        27:{1,3,4,5}:{(16,1),(39,1)}
        28:{1,2,4,5,7}:{(17,1),(18,1),(30,1),(40,1),(61,1),(69,1),(87,1)}
        29:{2,3,5,6}:{(18,1),(40,1),(42,1)}
        30:{1,2,4,6,7}:{(19,1),(20,1),(28,1),(43,1),(45,1)}
        31:{2,3,5,6,7}:{(20,1),(22,1),(43,1),(45,1),(74,1)}
        32:{1,3,5,6,7}:{(21,1),(22,1),(23,1),(46,1),(49,1)}
        33:{3,4,6,7}:{(22,1),(45,1),(46,1),(47,1)}
        34:{1,2,3,6,7}:{(23,1),(24,1),(48,1),(81,1)}
        35:{1,3,4,6,7}:{(23,1),(25,1),(46,1),(48,1),(49,1),(52,1),(75,1)}
        36:{1,2,4,7}:{(24,1),(25,1),(26,1),(50,1)}
        37:{1,3,4,5,7}:{(25,1),(27,1),(49,1),(51,1),(52,1),(97,1)}
        38:{2,3,4,6}:{(26,1),(50,1),(53,1),(81,1)}
        39:{1,2,4,5}:{(26,1),(27,1),(53,1)}
        40:{2,3,5,7}:{(28,1),(29,1),(43,1),(55,1)}
        41:{1,2,3,5,6}:{(29,1),(54,1),(56,1),(85,1),(96,1),(100,1)}
        42:{2,3,4,6}:{(29,1),(55,1),(56,1),(57,1)}
        43:{2,3,6,7}:{(30,1),(40,1)}
        44:{1,2,3,5,6,7}:{(31,1),(32,1),(34,1),(58,1),(60,1),(65,1),(87,1),(89,1),(92,1),(102,1)}
        45:{2,4,6,7}:{(31,1),(33,1),(61,1)}
        46:{1,4,6,7}:{(32,1),(33,1),(62,1)}
        47:{3,4,5,7}:{(33,1),(61,1),(62,1),(63,1),(89,1)}
        48:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(64,1),(65,1),(68,1)}
        49:{1,3,5,7}:{(35,1),(62,1),(65,1),(66,1),(89,1)}
        50:{2,3,4,7}:{(36,1),(38,1),(67,1)}
        51:{1,2,4,5,7}:{(36,1),(37,1),(39,1),(65,1),(67,1),(68,1),(91,1)}
        52:{1,3,4,6}:{(37,1),(66,1),(68,1),(103,1)}
        53:{2,3,5}:{(38,1),(39,1)}
        54:{1,2,3,5,7}:{(40,1),(41,1),(58,1),(69,1),(87,1),(93,1)}
        55:{2,3,4,7}:{(40,1),(42,1),(69,1)}
        56:{1,2,4,6}:{(41,1),(42,1),(69,1),(71,1),(72,1)}
        57:{2,3,4,5}:{(42,1),(72,1)}
        58:{1,2,3,6,7}:{(43,1),(54,1),(73,1),(100,1)}
        59:{2,3,4,6,7}:{(43,1),(45,1),(55,1),(73,1),(74,1),(75,1),(84,1)}
        60:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(75,1),(76,1),(99,1),(104,1)}
        61:{2,4,5,7}:{(45,1),(47,1),(74,1),(77,1)}
        62:{1,4,5,7}:{(46,1),(47,1),(49,1),(78,1)}
        63:{3,4,5,6}:{(47,1),(77,1),(78,1),(98,1)}
        64:{2,3,4,6,7}:{(48,1),(50,1),(75,1),(79,1),(81,1),(99,1)}
        65:{1,2,5,7}:{(48,1),(49,1),(79,1),(80,1)}
        66:{1,3,5,6}:{(49,1),(52,1),(78,1),(80,1),(98,1)}
        67:{2,3,5,7}:{(50,1),(51,1),(53,1),(81,1)}
        68:{1,2,4,6}:{(51,1),(52,1),(80,1),(81,1),(99,1)}
        69:{1,2,4,7}:{(54,1),(55,1),(56,1),(82,1)}
        70:{2,3,4,5,7}:{(55,1),(57,1),(74,1),(83,1),(84,1),(97,1)}
        71:{1,3,4,6}:{(56,1),(82,1),(85,1),(100,1)}
        72:{1,2,4,5}:{(56,1),(57,1),(85,1)}
        73:{1,2,4,6,7}:{(58,1),(59,1),(69,1),(86,1),(87,1),(94,1)}
        74:{2,3,5,7}:{(59,1),(61,1),(87,1),(88,1),(89,1)}
        75:{3,4,6,7}:{(60,1),(89,1),(103,1)}
        76:{1,2,4,5,7}:{(60,1),(61,1),(62,1),(65,1),(87,1),(89,1),(90,1),(91,1),(101,1)}
        77:{2,4,5,6}:{(61,1),(63,1),(88,1)}
        78:{1,4,5,6}:{(62,1),(63,1),(66,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(89,1),(91,1),(92,1)}
        80:{1,2,5,6}:{(65,1),(66,1),(68,1),(92,1)}
        81:{2,3,6}:{(67,1),(68,1)}
        82:{1,3,4,7}:{(69,1),(71,1),(93,1)}
        83:{1,2,4,5,7}:{(69,1),(70,1),(72,1),(87,1),(93,1),(94,1),(101,1)}
        84:{2,3,4,6}:{(70,1),(88,1),(94,1),(103,1)}
        85:{1,3,5}:{(71,1),(72,1)}
        86:{1,3,4,6,7}:{(73,1),(75,1),(82,1),(95,1),(100,1),(104,1)}
        87:{1,2,5,7}:{(73,1),(74,1),(95,1),(96,1)}
        88:{2,3,5,6}:{(74,1),(77,1),(84,1),(96,1),(98,1)}
        89:{3,5,7}:{(75,1),(76,1),(98,1)}
        90:{1,2,4,5,6}:{(76,1),(77,1),(78,1),(80,1),(96,1),(98,1),(99,1),(104,1)}
        91:{2,4,5,7}:{(79,1),(97,1),(99,1)}
        92:{2,3,5,6}:{(79,1),(80,1),(81,1),(98,1),(99,1)}
        93:{1,3,5,7}:{(82,1),(83,1),(85,1),(100,1)}
        94:{1,2,4,6}:{(83,1),(84,1),(96,1),(100,1),(104,1)}
        95:{1,3,5,7}:{(86,1),(87,1),(89,1),(101,1),(102,1)}
        96:{1,2,5,6}:{(87,1),(88,1),(94,1),(102,1)}
        97:{3,4,5,7}:{(89,1),(91,1),(101,1),(103,1)}
        98:{3,5,6}:{(89,1),(90,1),(103,1)}
        99:{2,4,6}:{(91,1),(92,1),(103,1)}
       100:{1,3,6}:{(93,1),(94,1)}
       101:{1,4,5,7}:{(95,1),(97,1),(104,1)}
       102:{1,3,5,6}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{3,4,6}:{(97,1),(98,1),(99,1),(104,1)}
       104:{1,4,6}:{(101,1),(102,1),(103,1)}

2196 :  0:{2,3,4,5,7}:{(3,1),(4,1),(17,1),(38,1),(64,1)}
        1:{1,3,4,5,7}:{(3,1),(5,1),(19,1),(38,1),(64,1)}
        2:{1,2,3,4,7}:{(6,1),(7,1),(50,1),(83,1)}
        3:{1,2,4,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(26,1),(50,1)}
        4:{2,3,4,6}:{(0,1),(8,1),(10,1),(51,1)}
        5:{1,3,4,6}:{(1,1),(8,1),(12,1),(51,1)}
        6:{1,2,3,5,7}:{(2,1),(3,1),(13,1),(14,1)}
        7:{1,2,3,4,6}:{(2,1),(13,1),(14,1),(37,1),(81,1),(82,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(5,1),(13,1),(16,1)}
        9:{2,3,4,6,7}:{(4,1),(15,1),(17,1),(34,1),(61,1),(64,1)}
       10:{2,3,5,6}:{(4,1),(16,1),(17,1),(18,1),(40,1)}
       11:{1,3,4,6,7}:{(5,1),(15,1),(19,1),(35,1),(61,1),(64,1)}
       12:{1,3,5,6}:{(5,1),(16,1),(19,1),(20,1),(40,1)}
       13:{1,2,3,6}:{(6,1),(8,1)}
       14:{1,2,3,5}:{(7,1),(25,1)}
       15:{1,2,4,6,7}:{(8,1),(9,1),(11,1),(23,1),(26,1),(50,1)}
       16:{1,2,5,6}:{(8,1),(10,1),(12,1),(26,1)}
       17:{2,3,5,7}:{(9,1),(10,1),(26,1),(28,1),(54,1)}
       18:{2,4,5,6}:{(10,1),(28,1),(29,1)}
       19:{1,3,5,7}:{(11,1),(12,1),(26,1),(30,1),(54,1)}
       20:{1,4,5,6}:{(12,1),(30,1),(31,1)}
       21:{2,3,5,6,7}:{(17,1),(33,1),(34,1),(60,1),(61,1)}
       22:{1,3,5,6,7}:{(19,1),(33,1),(35,1),(45,1),(61,1)}
       23:{1,2,3,6,7}:{(13,1),(15,1),(36,1),(61,1),(79,1)}
       24:{1,2,3,5,6}:{(13,1),(14,1),(16,1),(36,1),(37,1),(40,1),(70,1),(81,1)}
       25:{1,2,4,5}:{(14,1),(37,1),(38,1)}
       26:{1,2,5,7}:{(15,1),(16,1),(17,1),(19,1)}
       27:{1,2,4,5,6}:{(16,1),(18,1),(20,1),(37,1),(39,1),(40,1),(42,1),(44,1),(70,1)}
       28:{2,4,5,7}:{(17,1),(18,1),(34,1),(41,1)}
       29:{3,4,5,6}:{(18,1),(40,1),(41,1),(42,1)}
       30:{1,4,5,7}:{(19,1),(20,1),(35,1),(43,1)}
       31:{3,4,5,6}:{(20,1),(40,1),(43,1),(44,1)}
       32:{1,4,5,6,7}:{(35,1),(45,1)}
       33:{1,2,5,6,7}:{(21,1),(22,1),(26,1),(47,1),(59,1),(71,1)}
       34:{2,4,6,7}:{(21,1),(28,1),(48,1)}
       35:{1,4,6,7}:{(22,1),(30,1),(49,1)}
       36:{1,2,3,5,7}:{(23,1),(24,1),(26,1),(50,1),(54,1),(78,1),(83,1)}
       37:{1,2,4,6}:{(24,1),(25,1),(50,1),(51,1)}
       38:{3,4,5}:{(25,1),(51,1)}
       39:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(30,1),(47,1),(50,1),(54,1),(57,1),(58,1),(78,1)}
       40:{3,5,6}:{(27,1),(51,1),(54,1)}
       41:{3,4,5,7}:{(28,1),(29,1),(48,1),(54,1),(57,1)}
       42:{1,4,5,6}:{(29,1),(55,1),(57,1)}
       43:{3,4,5,7}:{(30,1),(31,1),(49,1),(54,1),(58,1)}
       44:{2,4,5,6}:{(31,1),(56,1),(58,1)}
       45:{3,5,6,7}:{(32,1),(49,1),(59,1)}
       46:{2,4,5,6,7}:{(34,1),(60,1)}
       47:{1,2,4,6,7}:{(33,1),(34,1),(35,1),(39,1),(61,1),(62,1),(63,1),(79,1)}
       48:{3,4,6,7}:{(34,1),(41,1),(60,1),(61,1),(62,1)}
       49:{3,4,6,7}:{(35,1),(43,1),(45,1),(61,1),(63,1)}
       50:{1,2,4,7}:{(36,1),(37,1),(64,1)}
       51:{3,4,6}:{(37,1),(38,1),(40,1),(64,1)}
       52:{1,3,4,5}:{(38,1),(65,1),(67,1)}
       53:{2,3,4,5}:{(38,1),(66,1),(67,1)}
       54:{3,5,7}:{(39,1),(40,1),(61,1),(64,1)}
       55:{1,3,5,6}:{(40,1),(42,1),(65,1),(68,1),(70,1)}
       56:{2,3,5,6}:{(40,1),(44,1),(66,1),(69,1),(70,1)}
       57:{1,4,5,7}:{(41,1),(42,1),(62,1),(68,1)}
       58:{2,4,5,7}:{(43,1),(44,1),(63,1),(69,1)}
       59:{2,5,6,7}:{(45,1),(63,1)}
       60:{3,5,6,7}:{(46,1),(48,1),(71,1)}
       61:{3,6,7}:{(47,1),(54,1)}
       62:{1,4,6,7}:{(48,1),(57,1),(71,1),(72,1)}
       63:{2,4,6,7}:{(49,1),(58,1),(59,1),(73,1)}
       64:{3,4,7}:{(50,1),(51,1),(54,1)}
       65:{1,3,4,6}:{(51,1),(52,1),(55,1),(74,1),(76,1)}
       66:{2,3,4,6}:{(51,1),(53,1),(56,1),(75,1),(76,1)}
       67:{1,2,4,5}:{(52,1),(53,1),(76,1),(77,1)}
       68:{1,3,5,7}:{(54,1),(55,1),(57,1),(72,1),(74,1),(78,1)}
       69:{2,3,5,7}:{(54,1),(56,1),(58,1),(73,1),(75,1),(78,1)}
       70:{1,2,5,6}:{(55,1),(56,1),(76,1),(78,1)}
       71:{1,5,6,7}:{(60,1),(62,1)}
       72:{1,3,6,7}:{(61,1),(62,1),(68,1),(79,1)}
       73:{2,3,6,7}:{(61,1),(63,1),(69,1),(79,1)}
       74:{1,3,4,7}:{(64,1),(65,1),(68,1),(80,1)}
       75:{2,3,4,7}:{(64,1),(66,1),(69,1),(80,1)}
       76:{1,2,4,6}:{(65,1),(66,1),(67,1),(70,1),(80,1),(81,1)}
       77:{1,2,3,5}:{(67,1),(81,1),(82,1)}
       78:{1,2,5,7}:{(68,1),(69,1),(70,1),(79,1),(80,1)}
       79:{1,2,6,7}:{(72,1),(73,1),(78,1)}
       80:{1,2,4,7}:{(74,1),(75,1),(76,1),(78,1),(83,1)}
       81:{1,2,3,6}:{(76,1),(77,1),(83,1)}
       82:{1,2,3,4}:{(77,1)}
       83:{1,2,3,7}:{(80,1),(81,1)}

2197 :  0:{1,2,3,4,7}:{(1,1),(2,1),(29,1),(82,1)}
        1:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        2:{1,2,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(74,1),(75,1)}
        3:{1,3,4,5,7}:{(5,1),(8,1),(22,1),(23,1),(43,1)}
        4:{2,3,4,5,7}:{(5,1),(9,1),(22,1),(25,1),(43,1)}
        5:{1,2,4,5,7}:{(1,1),(3,1),(4,1),(10,1),(13,1),(27,1),(29,1)}
        6:{1,2,3,6}:{(1,1),(10,1)}
        7:{1,2,3,5}:{(2,1),(13,1)}
        8:{1,3,4,6}:{(3,1),(10,1),(15,1),(30,1)}
        9:{2,3,4,6}:{(4,1),(10,1),(17,1),(30,1)}
       10:{1,2,4,6}:{(5,1),(6,1),(8,1),(9,1),(19,1)}
       11:{1,2,3,6,7}:{(6,1),(18,1),(20,1),(69,1),(83,1)}
       12:{1,2,3,5,6}:{(6,1),(7,1),(19,1),(20,1),(21,1),(42,1),(72,1),(74,1)}
       13:{1,2,4,5}:{(7,1),(21,1),(22,1)}
       14:{1,3,4,6,7}:{(8,1),(18,1),(23,1),(43,1),(47,1),(69,1)}
       15:{1,3,5,6}:{(8,1),(19,1),(23,1),(24,1),(42,1)}
       16:{2,3,4,6,7}:{(9,1),(18,1),(25,1),(43,1),(50,1),(69,1)}
       17:{2,3,5,6}:{(9,1),(19,1),(25,1),(26,1),(42,1)}
       18:{1,2,4,6,7}:{(10,1),(11,1),(14,1),(16,1),(27,1),(29,1)}
       19:{1,2,5,6}:{(10,1),(15,1),(17,1),(27,1)}
       20:{1,2,3,5,7}:{(11,1),(12,1),(27,1),(29,1),(56,1),(81,1),(82,1)}
       21:{1,2,4,6}:{(12,1),(13,1),(29,1),(30,1)}
       22:{3,4,5}:{(13,1),(30,1)}
       23:{1,3,5,7}:{(14,1),(15,1),(27,1),(34,1),(56,1)}
       24:{1,4,5,6}:{(15,1),(34,1),(35,1)}
       25:{2,3,5,7}:{(16,1),(17,1),(27,1),(37,1),(56,1)}
       26:{2,4,5,6}:{(17,1),(37,1),(38,1)}
       27:{1,2,5,7}:{(18,1),(19,1),(23,1),(25,1)}
       28:{1,2,4,5,6}:{(19,1),(21,1),(24,1),(26,1),(41,1),(42,1),(49,1),(52,1),(72,1)}
       29:{1,2,4,7}:{(20,1),(21,1),(43,1)}
       30:{3,4,6}:{(21,1),(22,1),(42,1),(43,1)}
       31:{1,3,4,5}:{(22,1),(44,1),(46,1)}
       32:{2,3,4,5}:{(22,1),(45,1),(46,1)}
       33:{1,3,5,6,7}:{(23,1),(40,1),(47,1),(53,1),(69,1)}
       34:{1,4,5,7}:{(23,1),(24,1),(47,1),(48,1)}
       35:{3,4,5,6}:{(24,1),(42,1),(48,1),(49,1)}
       36:{2,3,5,6,7}:{(25,1),(40,1),(50,1),(68,1),(69,1)}
       37:{2,4,5,7}:{(25,1),(26,1),(50,1),(51,1)}
       38:{3,4,5,6}:{(26,1),(42,1),(51,1),(52,1)}
       39:{1,4,5,6,7}:{(47,1),(53,1)}
       40:{1,2,5,6,7}:{(27,1),(33,1),(36,1),(55,1),(67,1),(78,1)}
       41:{1,2,4,5,7}:{(27,1),(28,1),(29,1),(34,1),(37,1),(55,1),(56,1),(64,1),(66,1),(81,1)}
       42:{3,5,6}:{(28,1),(30,1),(56,1)}
       43:{3,4,7}:{(29,1),(30,1),(56,1)}
       44:{1,3,4,6}:{(30,1),(31,1),(57,1),(59,1),(61,1)}
       45:{2,3,4,6}:{(30,1),(32,1),(58,1),(60,1),(61,1)}
       46:{1,2,4,5}:{(31,1),(32,1),(61,1),(62,1)}
       47:{1,4,6,7}:{(33,1),(34,1),(63,1)}
       48:{3,4,5,7}:{(34,1),(35,1),(56,1),(63,1),(64,1)}
       49:{2,4,5,6}:{(35,1),(58,1),(64,1)}
       50:{2,4,6,7}:{(36,1),(37,1),(65,1)}
       51:{3,4,5,7}:{(37,1),(38,1),(56,1),(65,1),(66,1)}
       52:{1,4,5,6}:{(38,1),(57,1),(66,1)}
       53:{3,5,6,7}:{(39,1),(63,1),(67,1)}
       54:{2,4,5,6,7}:{(50,1),(68,1)}
       55:{1,2,4,6,7}:{(40,1),(41,1),(47,1),(50,1),(69,1),(76,1),(77,1),(83,1)}
       56:{3,5,7}:{(41,1),(42,1),(43,1),(69,1)}
       57:{1,3,5,6}:{(42,1),(44,1),(52,1),(70,1),(72,1)}
       58:{2,3,5,6}:{(42,1),(45,1),(49,1),(71,1),(72,1)}
       59:{1,3,4,7}:{(43,1),(44,1),(70,1),(73,1)}
       60:{2,3,4,7}:{(43,1),(45,1),(71,1),(73,1)}
       61:{1,2,4,6}:{(44,1),(45,1),(46,1),(72,1),(73,1),(74,1)}
       62:{1,2,3,5}:{(46,1),(74,1),(75,1)}
       63:{3,4,6,7}:{(47,1),(48,1),(53,1),(69,1),(76,1)}
       64:{2,4,5,7}:{(48,1),(49,1),(71,1),(76,1)}
       65:{3,4,6,7}:{(50,1),(51,1),(68,1),(69,1),(77,1)}
       66:{1,4,5,7}:{(51,1),(52,1),(70,1),(77,1)}
       67:{2,5,6,7}:{(53,1),(76,1)}
       68:{3,5,6,7}:{(54,1),(65,1),(78,1)}
       69:{3,6,7}:{(55,1),(56,1)}
       70:{1,3,5,7}:{(56,1),(57,1),(59,1),(66,1),(79,1),(81,1)}
       71:{2,3,5,7}:{(56,1),(58,1),(60,1),(64,1),(80,1),(81,1)}
       72:{1,2,5,6}:{(57,1),(58,1),(61,1),(81,1)}
       73:{1,2,4,7}:{(59,1),(60,1),(61,1),(81,1),(82,1)}
       74:{1,2,3,6}:{(61,1),(62,1),(82,1)}
       75:{1,2,3,4}:{(62,1)}
       76:{2,4,6,7}:{(63,1),(64,1),(67,1),(80,1)}
       77:{1,4,6,7}:{(65,1),(66,1),(78,1),(79,1)}
       78:{1,5,6,7}:{(68,1),(77,1)}
       79:{1,3,6,7}:{(69,1),(70,1),(77,1),(83,1)}
       80:{2,3,6,7}:{(69,1),(71,1),(76,1),(83,1)}
       81:{1,2,5,7}:{(70,1),(71,1),(72,1),(73,1),(83,1)}
       82:{1,2,3,7}:{(73,1),(74,1)}
       83:{1,2,6,7}:{(79,1),(80,1),(81,1)}

2198 :   0:{1,2,3,5,6,7}:{(2,1),(14,1),(20,1),(48,1),(56,1),(57,1),(58,1),(59,1),(66,1),(68,1),(103,1),(105,1),(114,1),(118,1),(144,1)}
         1:{1,2,4,5,6,7}:{(3,1),(13,1),(18,1),(19,1),(20,1),(65,1)}
         2:{1,2,4,6,7}:{(0,1),(5,1),(6,1),(83,1),(84,1),(96,1),(129,1),(137,1),(140,1),(159,1)}
         3:{3,5,6,7}:{(1,1),(7,1),(31,1),(94,1)}
         4:{1,2,4,5,6,7}:{(12,1),(13,1),(46,1),(47,1),(48,1),(102,1)}
         5:{1,2,4,5,7}:{(2,1),(13,1),(14,1),(54,1),(55,1),(58,1),(155,1)}
         6:{3,4,6,7}:{(2,1),(14,1),(53,1),(66,1),(103,1),(120,1),(146,1),(154,1)}
         7:{3,4,6,7}:{(3,1),(17,1),(18,1),(19,1),(53,1),(66,1),(120,1)}
         8:{1,3,5,6,7}:{(3,1),(18,1),(20,1),(56,1),(61,1),(66,1),(68,1)}
         9:{2,3,5,6,7}:{(3,1),(19,1),(20,1),(21,1),(57,1),(66,1),(118,1)}
        10:{2,3,4,6,7}:{(19,1),(21,1),(22,1),(23,1),(66,1),(120,1)}
        11:{2,3,4,5,7}:{(21,1),(23,1),(24,1),(55,1),(107,1),(113,1),(120,1),(148,1),(157,1)}
        12:{3,5,6,7}:{(4,1),(25,1),(31,1),(127,1)}
        13:{1,2,4,5,6}:{(5,1),(31,1),(83,1),(84,1),(86,1)}
        14:{3,5,7}:{(5,1),(6,1),(31,1),(166,1)}
        15:{1,3,4,6,7}:{(6,1),(32,1),(34,1),(42,1),(83,1),(96,1),(97,1),(125,1),(135,1),(136,1),(159,1),(165,1)}
        16:{2,3,4,6,7}:{(6,1),(33,1),(34,1),(78,1),(84,1),(92,1),(129,1),(130,1),(135,1),(136,1),(140,1),(164,1)}
        17:{3,4,5,7}:{(7,1),(36,1),(37,1),(38,1),(94,1)}
        18:{1,4,6,7}:{(7,1),(8,1),(37,1),(83,1),(96,1)}
        19:{2,4,6,7}:{(7,1),(9,1),(38,1),(84,1),(140,1)}
        20:{1,2,5,6,7}:{(8,1),(9,1),(39,1),(41,1),(86,1),(91,1)}
        21:{2,3,5,7}:{(10,1),(38,1),(40,1),(41,1),(94,1)}
        22:{1,2,4,6,7}:{(10,1),(41,1),(42,1),(43,1),(96,1)}
        23:{2,3,4,6}:{(11,1),(40,1),(43,1),(84,1),(135,1),(141,1)}
        24:{1,2,4,5,7}:{(11,1),(41,1),(43,1),(44,1),(89,1),(96,1),(138,1),(142,1)}
        25:{3,4,6,7}:{(12,1),(45,1),(46,1),(47,1),(53,1),(103,1),(146,1)}
        26:{1,3,5,6,7}:{(12,1),(46,1),(48,1),(49,1),(56,1),(103,1),(144,1)}
        27:{2,3,5,6,7}:{(12,1),(47,1),(48,1),(57,1),(98,1),(103,1),(105,1)}
        28:{1,3,4,6,7}:{(46,1),(49,1),(50,1),(51,1),(103,1),(146,1)}
        29:{1,3,4,5,7}:{(49,1),(51,1),(52,1),(54,1),(70,1),(113,1),(122,1),(146,1),(169,1)}
        30:{3,4,5,7}:{(14,1),(53,1),(54,1),(55,1),(113,1),(120,1),(146,1),(157,1),(169,1)}
        31:{3,5,6}:{(13,1),(14,1),(53,1)}
        32:{1,3,5,7}:{(14,1),(15,1),(54,1),(56,1),(58,1),(113,1),(122,1),(172,1)}
        33:{2,3,5,7}:{(14,1),(16,1),(55,1),(57,1),(58,1),(113,1),(148,1),(171,1)}
        34:{1,2,4,6,7}:{(15,1),(16,1),(58,1),(59,1),(112,1),(115,1),(116,1),(170,1)}
        35:{1,3,4,6,7}:{(18,1),(61,1),(62,1),(66,1),(108,1),(120,1)}
        36:{3,4,5,6}:{(17,1),(53,1),(63,1),(64,1),(119,1),(169,1)}
        37:{1,4,5,7}:{(17,1),(18,1),(61,1),(63,1)}
        38:{2,4,5,7}:{(17,1),(19,1),(21,1),(64,1)}
        39:{1,2,4,6,7}:{(18,1),(19,1),(20,1),(65,1),(66,1),(112,1)}
        40:{2,3,5,6}:{(21,1),(23,1),(64,1),(67,1),(119,1),(148,1)}
        41:{1,2,5,7}:{(21,1),(22,1),(67,1),(68,1)}
        42:{1,3,6,7}:{(22,1),(66,1),(68,1),(69,1)}
        43:{1,2,4,6}:{(23,1),(24,1),(67,1),(69,1),(121,1)}
        44:{1,3,5,7}:{(24,1),(69,1),(70,1),(113,1),(122,1)}
        45:{3,4,5,7}:{(25,1),(72,1),(73,1),(74,1),(127,1)}
        46:{1,4,6,7}:{(25,1),(26,1),(73,1),(83,1),(159,1)}
        47:{2,4,6,7}:{(25,1),(27,1),(74,1),(84,1),(129,1)}
        48:{1,2,5,6,7}:{(26,1),(27,1),(75,1),(77,1),(86,1),(124,1)}
        49:{1,3,5,7}:{(28,1),(73,1),(76,1),(77,1),(127,1)}
        50:{1,2,4,6,7}:{(28,1),(77,1),(78,1),(79,1),(129,1)}
        51:{1,3,4,6}:{(29,1),(76,1),(79,1),(83,1),(135,1),(160,1)}
        52:{1,2,4,5,7}:{(29,1),(77,1),(79,1),(80,1),(89,1),(129,1),(138,1),(161,1)}
        53:{3,4,6}:{(30,1),(31,1),(83,1),(84,1),(135,1)}
        54:{1,4,5,7}:{(30,1),(32,1),(83,1),(96,1),(142,1),(159,1),(173,1)}
        55:{2,4,5,7}:{(30,1),(33,1),(84,1),(129,1),(140,1),(161,1),(167,1)}
        56:{1,3,5,6}:{(31,1),(32,1),(83,1),(86,1),(135,1)}
        57:{2,3,5,6}:{(31,1),(33,1),(84,1),(86,1),(135,1)}
        58:{1,2,5,7}:{(32,1),(33,1),(34,1),(86,1),(138,1),(174,1)}
        59:{1,2,3,6,7}:{(34,1),(42,1),(78,1),(87,1),(88,1),(92,1),(125,1),(135,1),(162,1)}
        60:{1,2,3,5,7}:{(44,1),(80,1),(88,1),(89,1),(138,1)}
        61:{1,3,5,7}:{(35,1),(37,1),(90,1),(91,1),(94,1)}
        62:{1,2,4,6,7}:{(35,1),(91,1),(92,1),(131,1),(140,1)}
        63:{1,4,5,6}:{(36,1),(37,1),(83,1),(90,1),(173,1)}
        64:{2,4,5,6}:{(36,1),(38,1),(40,1),(84,1),(161,1)}
        65:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(41,1),(91,1),(93,1),(94,1),(96,1),(140,1)}
        66:{3,6,7}:{(39,1),(94,1),(135,1)}
        67:{1,2,5,6}:{(40,1),(41,1),(43,1),(95,1),(138,1)}
        68:{1,3,5,7}:{(41,1),(42,1),(94,1),(95,1),(96,1)}
        69:{1,3,6}:{(43,1),(44,1),(135,1)}
        70:{1,3,4,7}:{(44,1),(89,1),(96,1),(97,1),(136,1)}
        71:{2,3,4,6,7}:{(47,1),(98,1),(99,1),(103,1),(110,1),(146,1)}
        72:{3,4,5,6}:{(45,1),(53,1),(100,1),(101,1),(145,1),(157,1)}
        73:{1,4,5,7}:{(45,1),(46,1),(49,1),(100,1)}
        74:{2,4,5,7}:{(45,1),(47,1),(98,1),(101,1)}
        75:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(102,1),(103,1),(112,1)}
        76:{1,3,5,6}:{(49,1),(51,1),(100,1),(104,1),(122,1),(145,1)}
        77:{1,2,5,7}:{(49,1),(50,1),(104,1),(105,1)}
        78:{2,3,6,7}:{(50,1),(103,1),(105,1),(106,1)}
        79:{1,2,4,6}:{(51,1),(52,1),(104,1),(106,1),(147,1)}
        80:{2,3,5,7}:{(52,1),(106,1),(107,1),(113,1),(148,1)}
        81:{1,3,4,5,7}:{(54,1),(61,1),(108,1),(109,1),(113,1),(120,1),(153,1),(157,1),(172,1)}
        82:{2,3,4,5,7}:{(55,1),(98,1),(110,1),(111,1),(113,1),(146,1),(151,1),(169,1),(171,1)}
        83:{1,4,6}:{(53,1),(54,1),(56,1)}
        84:{2,4,6}:{(53,1),(55,1),(57,1)}
        85:{1,2,4,5,7}:{(54,1),(55,1),(58,1),(112,1),(113,1),(115,1),(155,1)}
        86:{1,2,5,6}:{(56,1),(57,1),(58,1),(112,1)}
        87:{1,2,3,5,7}:{(58,1),(59,1),(68,1),(105,1),(113,1),(114,1),(115,1),(118,1),(144,1)}
        88:{1,2,3,6}:{(60,1),(69,1),(106,1),(116,1)}
        89:{1,2,4,7}:{(60,1),(70,1),(107,1),(116,1)}
        90:{1,3,5,6}:{(61,1),(63,1),(108,1),(117,1),(119,1),(172,1)}
        91:{1,2,5,7}:{(61,1),(62,1),(117,1),(118,1)}
        92:{2,3,6,7}:{(62,1),(66,1),(118,1),(150,1)}
        93:{1,2,4,5,6}:{(63,1),(64,1),(65,1),(67,1),(112,1),(117,1),(119,1),(121,1),(155,1),(156,1)}
        94:{3,5,7}:{(65,1),(66,1),(119,1),(120,1)}
        95:{1,3,5,6}:{(67,1),(68,1),(69,1),(119,1),(121,1),(122,1)}
        96:{1,4,7}:{(68,1),(120,1),(121,1)}
        97:{1,3,4,6}:{(69,1),(70,1),(116,1),(121,1),(122,1),(154,1)}
        98:{2,3,5,7}:{(71,1),(74,1),(123,1),(124,1),(127,1)}
        99:{1,2,4,6,7}:{(71,1),(124,1),(125,1),(133,1),(159,1)}
       100:{1,4,5,6}:{(72,1),(73,1),(76,1),(83,1),(142,1)}
       101:{2,4,5,6}:{(72,1),(74,1),(84,1),(123,1),(167,1)}
       102:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(77,1),(124,1),(126,1),(127,1),(129,1),(159,1)}
       103:{3,6,7}:{(75,1),(127,1),(135,1)}
       104:{1,2,5,6}:{(76,1),(77,1),(79,1),(128,1),(138,1)}
       105:{2,3,5,7}:{(77,1),(78,1),(127,1),(128,1),(129,1)}
       106:{2,3,6}:{(79,1),(80,1),(135,1)}
       107:{2,3,4,7}:{(80,1),(89,1),(129,1),(130,1),(136,1)}
       108:{1,3,4,6}:{(81,1),(83,1),(90,1),(131,1),(135,1),(141,1)}
       109:{1,2,4,5,7}:{(81,1),(91,1),(131,1),(132,1),(140,1),(163,1),(167,1),(174,1)}
       110:{2,3,4,6}:{(82,1),(84,1),(123,1),(133,1),(135,1),(160,1)}
       111:{1,2,4,5,7}:{(82,1),(124,1),(133,1),(134,1),(159,1),(163,1),(173,1),(174,1)}
       112:{1,2,4,6}:{(83,1),(84,1),(85,1),(86,1),(135,1)}
       113:{3,5,7}:{(85,1),(135,1),(136,1),(166,1)}
       114:{1,2,3,5,6}:{(86,1),(87,1),(88,1),(95,1),(128,1),(135,1),(137,1),(138,1),(139,1),(158,1),(162,1),(166,1),(174,1)}
       115:{1,2,4,7}:{(87,1),(96,1),(129,1),(136,1),(137,1),(140,1),(159,1)}
       116:{1,2,4,6}:{(88,1),(89,1),(97,1),(130,1),(138,1)}
       117:{1,2,5,6}:{(90,1),(91,1),(131,1),(139,1),(174,1)}
       118:{2,3,5,7}:{(91,1),(92,1),(94,1),(139,1),(140,1)}
       119:{3,5,6}:{(93,1),(94,1),(135,1),(141,1),(166,1)}
       120:{3,4,7}:{(94,1),(96,1),(140,1),(141,1)}
       121:{1,4,6}:{(95,1),(96,1),(141,1),(142,1)}
       122:{1,3,5}:{(97,1),(138,1),(142,1),(166,1)}
       123:{2,3,5,6}:{(98,1),(101,1),(110,1),(143,1),(145,1),(171,1)}
       124:{1,2,5,7}:{(98,1),(99,1),(143,1),(144,1)}
       125:{1,3,6,7}:{(99,1),(103,1),(144,1),(152,1)}
       126:{1,2,4,5,6}:{(100,1),(101,1),(102,1),(104,1),(112,1),(143,1),(145,1),(147,1),(155,1),(168,1)}
       127:{3,5,7}:{(102,1),(103,1),(145,1),(146,1)}
       128:{2,3,5,6}:{(104,1),(105,1),(106,1),(145,1),(147,1),(148,1)}
       129:{2,4,7}:{(105,1),(146,1),(147,1)}
       130:{2,3,4,6}:{(106,1),(107,1),(116,1),(147,1),(148,1),(154,1)}
       131:{1,2,4,6}:{(108,1),(109,1),(117,1),(150,1),(156,1)}
       132:{2,3,5,7}:{(109,1),(113,1),(150,1),(151,1),(171,1)}
       133:{1,2,4,6}:{(110,1),(111,1),(143,1),(152,1),(168,1)}
       134:{1,3,5,7}:{(111,1),(113,1),(152,1),(153,1),(172,1)}
       135:{3,6}:{(112,1),(113,1)}
       136:{3,4,7}:{(113,1),(115,1),(154,1)}
       137:{1,2,4,6}:{(114,1),(115,1),(121,1),(147,1),(154,1),(155,1),(156,1),(168,1)}
       138:{1,2,5}:{(116,1),(122,1),(148,1)}
       139:{2,3,5,6}:{(117,1),(118,1),(119,1),(150,1),(156,1),(171,1)}
       140:{2,4,7}:{(118,1),(120,1),(156,1)}
       141:{3,4,6}:{(119,1),(120,1),(121,1),(156,1),(157,1)}
       142:{1,4,5}:{(121,1),(122,1),(157,1)}
       143:{1,2,5,6}:{(123,1),(124,1),(133,1),(158,1),(174,1)}
       144:{1,3,5,7}:{(124,1),(125,1),(127,1),(158,1),(159,1)}
       145:{3,5,6}:{(126,1),(127,1),(135,1),(160,1),(166,1)}
       146:{3,4,7}:{(127,1),(129,1),(159,1),(160,1)}
       147:{2,4,6}:{(128,1),(129,1),(160,1),(161,1)}
       148:{2,3,5}:{(130,1),(138,1),(161,1),(166,1)}
       149:{1,2,3,5,7}:{(132,1),(134,1),(162,1),(163,1),(174,1)}
       150:{2,3,6}:{(131,1),(132,1),(135,1)}
       151:{2,3,4,7}:{(132,1),(136,1),(140,1),(163,1),(164,1)}
       152:{1,3,6}:{(133,1),(134,1),(135,1)}
       153:{1,3,4,7}:{(134,1),(136,1),(159,1),(163,1),(165,1)}
       154:{3,4,6}:{(135,1),(136,1),(137,1),(166,1)}
       155:{1,2,4,5}:{(137,1),(138,1),(142,1),(161,1),(166,1),(167,1),(173,1),(174,1)}
       156:{2,4,6}:{(139,1),(140,1),(141,1),(167,1)}
       157:{3,4,5}:{(141,1),(142,1),(166,1),(167,1)}
       158:{1,3,5,6}:{(143,1),(144,1),(145,1),(152,1),(168,1),(172,1)}
       159:{1,4,7}:{(144,1),(146,1),(168,1)}
       160:{3,4,6}:{(145,1),(146,1),(147,1),(168,1),(169,1)}
       161:{2,4,5}:{(147,1),(148,1),(169,1)}
       162:{1,2,3,6}:{(149,1),(150,1),(152,1),(170,1)}
       163:{1,2,4,7}:{(149,1),(151,1),(153,1),(170,1)}
       164:{2,3,4,6}:{(150,1),(151,1),(154,1),(156,1),(170,1),(171,1)}
       165:{1,3,4,6}:{(152,1),(153,1),(154,1),(168,1),(170,1),(172,1)}
       166:{3,5}:{(154,1),(155,1)}
       167:{2,4,5}:{(156,1),(157,1),(171,1)}
       168:{1,4,6}:{(158,1),(159,1),(160,1),(173,1)}
       169:{3,4,5}:{(160,1),(161,1),(166,1),(173,1)}
       170:{1,2,4,6}:{(162,1),(163,1),(164,1),(165,1),(174,1)}
       171:{2,3,5}:{(164,1),(166,1),(167,1),(174,1)}
       172:{1,3,5}:{(165,1),(166,1),(173,1),(174,1)}
       173:{1,4,5}:{(168,1),(169,1),(172,1)}
       174:{1,2,5}:{(170,1),(171,1),(172,1)}

2199 :  0:{1,2,3,4,6,7}:{(1,1),(4,1),(6,1),(17,1),(21,1),(41,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(32,1),(51,1)}
        2:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,5,6}:{(1,1),(6,1),(17,1),(20,1),(40,1)}
        4:{1,2,3,4,7}:{(8,1),(9,1),(47,1)}
        5:{3,4,5,7}:{(2,1),(12,1),(32,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(12,1)}
        7:{1,2,3,5,6,7}:{(3,1),(14,1),(27,1),(32,1),(51,1),(52,1),(53,1)}
        8:{1,2,3,4,6}:{(4,1),(15,1),(17,1),(35,1)}
        9:{1,2,3,5,7}:{(4,1),(15,1),(16,1),(17,1)}
       10:{1,3,4,5,7}:{(5,1),(16,1),(18,1),(34,1),(42,1),(55,1)}
       11:{2,3,4,5,7}:{(5,1),(16,1),(19,1),(34,1),(43,1),(55,1)}
       12:{3,4,6}:{(5,1),(6,1),(20,1)}
       13:{1,2,4,5,6}:{(6,1),(20,1),(22,1),(37,1),(38,1),(40,1)}
       14:{1,2,4,6,7}:{(6,1),(7,1),(21,1),(22,1),(57,1),(58,1)}
       15:{1,2,3,5}:{(8,1),(23,1)}
       16:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(47,1),(51,1)}
       17:{1,2,3,6}:{(9,1),(26,1)}
       18:{1,3,4,6}:{(10,1),(12,1),(26,1),(28,1),(45,1)}
       19:{2,3,4,6}:{(11,1),(12,1),(26,1),(30,1),(45,1)}
       20:{3,5,6}:{(12,1),(13,1),(32,1)}
       21:{3,4,6,7}:{(12,1),(14,1),(32,1)}
       22:{1,2,4,5,7}:{(13,1),(14,1),(32,1),(48,1),(49,1),(51,1)}
       23:{1,2,4,5}:{(15,1),(34,1),(35,1)}
       24:{1,2,3,5,6}:{(15,1),(17,1),(35,1),(36,1),(40,1),(54,1)}
       25:{3,4,5,6}:{(20,1),(37,1),(38,1),(39,1),(54,1)}
       26:{1,2,4,6}:{(16,1),(17,1),(18,1),(19,1),(40,1)}
       27:{1,2,3,6,7}:{(17,1),(36,1),(41,1),(62,1)}
       28:{1,3,5,6}:{(18,1),(20,1),(37,1),(40,1),(42,1),(54,1)}
       29:{1,3,4,6,7}:{(18,1),(21,1),(41,1),(42,1),(55,1),(57,1),(62,1)}
       30:{2,3,5,6}:{(19,1),(20,1),(38,1),(40,1),(43,1),(54,1)}
       31:{2,3,4,6,7}:{(19,1),(21,1),(41,1),(43,1),(55,1),(58,1),(62,1)}
       32:{3,5,7}:{(20,1),(21,1),(22,1)}
       33:{1,2,4,5,6,7}:{(22,1),(44,1),(57,1),(58,1),(59,1)}
       34:{3,4,5}:{(23,1),(45,1)}
       35:{1,2,4,6}:{(23,1),(24,1),(45,1),(47,1)}
       36:{1,2,3,5,7}:{(24,1),(27,1),(47,1),(51,1),(60,1)}
       37:{1,4,5,6}:{(25,1),(28,1),(48,1)}
       38:{2,4,5,6}:{(25,1),(30,1),(49,1)}
       39:{3,4,5,7}:{(25,1),(32,1),(48,1),(49,1),(50,1),(60,1)}
       40:{1,2,5,6}:{(26,1),(28,1),(30,1),(51,1)}
       41:{1,2,4,6,7}:{(26,1),(27,1),(29,1),(31,1),(47,1),(51,1)}
       42:{1,3,5,7}:{(28,1),(29,1),(32,1),(48,1),(51,1),(60,1)}
       43:{2,3,5,7}:{(30,1),(31,1),(32,1),(49,1),(51,1),(60,1)}
       44:{3,5,6,7}:{(32,1),(33,1),(50,1)}
       45:{3,4,6}:{(34,1),(35,1),(54,1),(55,1)}
       46:{1,2,4,5,6}:{(35,1),(37,1),(38,1),(40,1),(54,1),(56,1)}
       47:{1,2,4,7}:{(35,1),(36,1),(55,1)}
       48:{1,4,5,7}:{(37,1),(39,1),(42,1),(57,1)}
       49:{2,4,5,7}:{(38,1),(39,1),(43,1),(58,1)}
       50:{3,4,6,7}:{(39,1),(44,1),(57,1),(58,1),(62,1)}
       51:{1,2,5,7}:{(40,1),(41,1),(42,1),(43,1)}
       52:{1,3,5,6,7}:{(42,1),(44,1),(57,1),(59,1),(62,1)}
       53:{2,3,5,6,7}:{(43,1),(44,1),(58,1),(59,1),(62,1)}
       54:{3,5,6}:{(45,1),(46,1),(60,1)}
       55:{3,4,7}:{(45,1),(47,1),(60,1)}
       56:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(49,1),(51,1),(60,1),(61,1)}
       57:{1,4,6,7}:{(48,1),(50,1),(52,1)}
       58:{2,4,6,7}:{(49,1),(50,1),(53,1)}
       59:{1,2,5,6,7}:{(51,1),(52,1),(53,1),(61,1)}
       60:{3,5,7}:{(54,1),(55,1),(56,1),(62,1)}
       61:{1,2,4,6,7}:{(56,1),(57,1),(58,1),(59,1),(62,1)}
       62:{3,6,7}:{(60,1),(61,1)}

2200 :  0:{1,2,3,4,7}:{(1,1),(2,1),(30,1),(79,1)}
        1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(19,1),(40,1),(70,1)}
        2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        3:{1,3,4,5,7}:{(4,1),(7,1),(18,1),(22,1),(44,1)}
        4:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(10,1),(26,1),(30,1)}
        5:{1,2,3,5}:{(1,1),(10,1)}
        6:{1,2,3,6}:{(2,1),(9,1)}
        7:{1,3,4,6}:{(3,1),(9,1),(13,1),(29,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(18,1),(36,1),(44,1)}
        9:{1,2,4,6}:{(4,1),(6,1),(7,1),(15,1),(16,1)}
       10:{1,2,4,5}:{(5,1),(18,1),(19,1)}
       11:{1,2,3,5,6}:{(5,1),(6,1),(16,1),(19,1),(20,1),(38,1),(67,1),(70,1)}
       12:{1,2,3,6,7}:{(6,1),(17,1),(20,1),(66,1),(82,1)}
       13:{1,3,5,6}:{(7,1),(16,1),(21,1),(22,1),(38,1)}
       14:{1,3,4,6,7}:{(7,1),(17,1),(22,1),(44,1),(45,1),(66,1)}
       15:{2,3,4,6}:{(8,1),(9,1),(23,1),(29,1)}
       16:{1,2,5,6}:{(9,1),(13,1),(23,1),(26,1)}
       17:{1,2,4,6,7}:{(9,1),(12,1),(14,1),(24,1),(26,1),(30,1)}
       18:{3,4,5}:{(10,1),(29,1)}
       19:{1,2,4,6}:{(10,1),(11,1),(29,1),(30,1)}
       20:{1,2,3,5,7}:{(11,1),(12,1),(26,1),(30,1),(55,1),(78,1),(79,1)}
       21:{1,4,5,6}:{(13,1),(32,1),(33,1)}
       22:{1,3,5,7}:{(13,1),(14,1),(26,1),(33,1),(55,1)}
       23:{2,3,5,6}:{(15,1),(16,1),(35,1),(36,1),(38,1)}
       24:{2,3,4,6,7}:{(15,1),(17,1),(36,1),(44,1),(63,1),(66,1)}
       25:{1,2,4,5,6}:{(16,1),(19,1),(21,1),(35,1),(38,1),(39,1),(46,1),(64,1),(67,1)}
       26:{1,2,5,7}:{(16,1),(17,1),(22,1),(36,1)}
       27:{2,3,4,5}:{(18,1),(41,1),(42,1)}
       28:{1,3,4,5}:{(18,1),(41,1),(43,1)}
       29:{3,4,6}:{(18,1),(19,1),(38,1),(44,1)}
       30:{1,2,4,7}:{(19,1),(20,1),(44,1)}
       31:{1,3,5,6,7}:{(22,1),(37,1),(45,1),(48,1),(66,1)}
       32:{3,4,5,6}:{(21,1),(38,1),(46,1),(47,1)}
       33:{1,4,5,7}:{(21,1),(22,1),(45,1),(47,1)}
       34:{1,4,5,6,7}:{(45,1),(48,1)}
       35:{2,4,5,6}:{(23,1),(50,1),(51,1)}
       36:{2,3,5,7}:{(23,1),(24,1),(26,1),(51,1),(55,1)}
       37:{1,2,5,6,7}:{(26,1),(31,1),(49,1),(52,1),(62,1),(83,1)}
       38:{3,5,6}:{(25,1),(29,1),(55,1)}
       39:{1,2,4,5,7}:{(25,1),(26,1),(30,1),(33,1),(51,1),(52,1),(55,1),(61,1),(75,1),(78,1)}
       40:{1,2,3,4}:{(56,1)}
       41:{1,2,4,5}:{(27,1),(28,1),(56,1),(57,1)}
       42:{2,3,4,6}:{(27,1),(29,1),(53,1),(57,1),(58,1)}
       43:{1,3,4,6}:{(28,1),(29,1),(54,1),(57,1),(59,1)}
       44:{3,4,7}:{(29,1),(30,1),(55,1)}
       45:{1,4,6,7}:{(31,1),(33,1),(60,1)}
       46:{2,4,5,6}:{(32,1),(53,1),(61,1)}
       47:{3,4,5,7}:{(32,1),(33,1),(55,1),(60,1),(61,1)}
       48:{3,5,6,7}:{(34,1),(60,1),(62,1)}
       49:{2,3,5,6,7}:{(36,1),(37,1),(63,1),(66,1),(80,1)}
       50:{3,4,5,6}:{(35,1),(38,1),(64,1),(65,1)}
       51:{2,4,5,7}:{(35,1),(36,1),(63,1),(65,1)}
       52:{1,2,4,6,7}:{(37,1),(39,1),(45,1),(63,1),(66,1),(72,1),(81,1),(82,1)}
       53:{2,3,5,6}:{(38,1),(42,1),(46,1),(67,1),(68,1)}
       54:{1,3,5,6}:{(38,1),(43,1),(64,1),(67,1),(69,1)}
       55:{3,5,7}:{(38,1),(39,1),(44,1),(66,1)}
       56:{1,2,3,5}:{(40,1),(41,1),(70,1)}
       57:{1,2,4,6}:{(41,1),(42,1),(43,1),(67,1),(70,1),(71,1)}
       58:{2,3,4,7}:{(42,1),(44,1),(68,1),(71,1)}
       59:{1,3,4,7}:{(43,1),(44,1),(69,1),(71,1)}
       60:{3,4,6,7}:{(45,1),(47,1),(48,1),(66,1),(72,1)}
       61:{2,4,5,7}:{(46,1),(47,1),(68,1),(72,1)}
       62:{2,5,6,7}:{(48,1),(72,1)}
       63:{2,4,6,7}:{(49,1),(51,1),(74,1)}
       64:{1,4,5,6}:{(50,1),(54,1),(75,1)}
       65:{3,4,5,7}:{(50,1),(51,1),(55,1),(74,1),(75,1)}
       66:{3,6,7}:{(52,1),(55,1)}
       67:{1,2,5,6}:{(53,1),(54,1),(57,1),(78,1)}
       68:{2,3,5,7}:{(53,1),(55,1),(58,1),(61,1),(76,1),(78,1)}
       69:{1,3,5,7}:{(54,1),(55,1),(59,1),(75,1),(77,1),(78,1)}
       70:{1,2,3,6}:{(56,1),(57,1),(79,1)}
       71:{1,2,4,7}:{(57,1),(58,1),(59,1),(78,1),(79,1)}
       72:{2,4,6,7}:{(60,1),(61,1),(62,1),(76,1)}
       73:{2,4,5,6,7}:{(63,1),(80,1)}
       74:{3,4,6,7}:{(63,1),(65,1),(66,1),(80,1),(81,1)}
       75:{1,4,5,7}:{(64,1),(65,1),(69,1),(81,1)}
       76:{2,3,6,7}:{(66,1),(68,1),(72,1),(82,1)}
       77:{1,3,6,7}:{(66,1),(69,1),(81,1),(82,1)}
       78:{1,2,5,7}:{(67,1),(68,1),(69,1),(71,1),(82,1)}
       79:{1,2,3,7}:{(70,1),(71,1)}
       80:{3,5,6,7}:{(73,1),(74,1),(83,1)}
       81:{1,4,6,7}:{(74,1),(75,1),(77,1),(83,1)}
       82:{1,2,6,7}:{(76,1),(77,1),(78,1)}
       83:{1,5,6,7}:{(80,1),(81,1)}

2201 :   0:{2,3,4,5,6}:{(1,1),(2,1),(35,1),(117,1),(130,1)}
         1:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(54,1),(96,1),(112,1)}
         2:{1,2,4,5,6}:{(0,1),(5,1),(6,1),(20,1),(102,1),(113,1)}
         3:{1,3,4,5,6}:{(7,1),(8,1),(15,1),(92,1),(145,1)}
         4:{2,3,4,6,7}:{(1,1),(12,1),(13,1),(90,1)}
         5:{1,2,4,5,7}:{(1,1),(2,1),(13,1),(14,1),(37,1),(80,1),(91,1)}
         6:{1,3,5,6}:{(2,1),(14,1),(15,1)}
         7:{1,3,4,5,7}:{(3,1),(16,1),(17,1),(29,1),(70,1),(132,1)}
         8:{1,2,4,5,6}:{(3,1),(17,1),(18,1),(20,1),(102,1),(133,1)}
         9:{1,2,3,5,6}:{(6,1),(18,1),(19,1),(20,1),(22,1),(64,1),(102,1)}
        10:{1,2,3,4,6}:{(20,1),(21,1),(22,1),(64,1)}
        11:{3,4,5,6,7}:{(25,1),(26,1),(68,1),(132,1)}
        12:{2,3,5,6,7}:{(4,1),(26,1),(27,1),(68,1),(96,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(27,1),(28,1),(69,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(28,1),(29,1)}
        15:{1,3,4,6}:{(6,1),(20,1),(29,1),(30,1)}
        16:{1,3,4,6,7}:{(7,1),(32,1),(33,1),(115,1)}
        17:{1,2,4,5,7}:{(7,1),(8,1),(33,1),(34,1),(37,1),(80,1),(116,1)}
        18:{2,3,5,6}:{(8,1),(34,1),(35,1)}
        19:{1,2,3,5,7}:{(9,1),(14,1),(34,1),(36,1),(37,1),(80,1)}
        20:{1,2,4,6}:{(9,1),(15,1),(35,1),(37,1),(38,1)}
        21:{1,2,3,4,7}:{(10,1),(37,1),(42,1)}
        22:{1,2,3,5}:{(10,1),(38,1)}
        23:{1,3,4,5,6}:{(39,1),(43,1),(88,1),(130,1),(148,1)}
        24:{2,3,4,5,6}:{(40,1),(44,1),(87,1),(145,1),(147,1)}
        25:{1,4,5,6,7}:{(11,1),(45,1),(144,1)}
        26:{2,4,5,6,7}:{(11,1),(12,1),(116,1)}
        27:{1,2,5,6,7}:{(12,1),(13,1),(47,1),(80,1)}
        28:{1,3,6,7}:{(13,1),(14,1)}
        29:{1,3,4,7}:{(14,1),(15,1),(37,1)}
        30:{1,3,4,5}:{(15,1),(38,1)}
        31:{3,4,5,6,7}:{(50,1),(51,1),(94,1),(112,1)}
        32:{1,3,5,6,7}:{(16,1),(50,1),(52,1),(70,1),(94,1)}
        33:{1,2,4,6,7}:{(16,1),(17,1),(52,1),(53,1),(95,1)}
        34:{2,3,5,7}:{(17,1),(18,1),(53,1),(54,1)}
        35:{2,3,4,6}:{(18,1),(20,1),(54,1),(55,1)}
        36:{1,2,3,6,7}:{(19,1),(28,1),(53,1),(59,1),(64,1)}
        37:{1,2,4,7}:{(19,1),(20,1),(29,1),(54,1)}
        38:{1,2,4,5}:{(20,1),(22,1),(30,1),(55,1)}
        39:{1,3,4,5,7}:{(23,1),(56,1),(61,1),(105,1),(112,1),(136,1)}
        40:{2,3,4,5,7}:{(24,1),(57,1),(62,1),(104,1),(132,1),(135,1)}
        41:{1,2,3,4,6,7}:{(21,1),(59,1),(63,1),(64,1),(100,1),(107,1),(134,1),(138,1),(153,1)}
        42:{1,2,3,5,7}:{(21,1),(22,1),(60,1),(64,1)}
        43:{1,2,4,5,6}:{(23,1),(61,1),(65,1),(108,1),(143,1),(152,1)}
        44:{1,2,4,5,6}:{(24,1),(62,1),(66,1),(108,1),(151,1),(152,1)}
        45:{1,3,5,6,7}:{(25,1),(56,1),(67,1),(68,1),(136,1)}
        46:{1,2,4,5,6,7}:{(25,1),(26,1),(27,1),(67,1),(68,1),(69,1),(101,1),(111,1)}
        47:{1,3,5,6,7}:{(27,1),(28,1),(68,1),(69,1),(70,1)}
        48:{1,3,4,6,7}:{(28,1),(29,1),(59,1),(69,1),(70,1),(71,1),(100,1)}
        49:{1,3,4,5,7}:{(29,1),(30,1),(60,1),(70,1),(71,1),(106,1)}
        50:{1,4,5,6,7}:{(31,1),(32,1),(91,1)}
        51:{2,4,5,6,7}:{(31,1),(72,1),(129,1)}
        52:{1,2,5,6,7}:{(32,1),(33,1),(74,1),(80,1)}
        53:{2,3,6,7}:{(33,1),(34,1)}
        54:{2,3,4,7}:{(34,1),(35,1),(37,1)}
        55:{2,3,4,5}:{(35,1),(38,1)}
        56:{1,3,4,6,7}:{(39,1),(45,1),(77,1),(90,1)}
        57:{2,3,4,6,7}:{(40,1),(72,1),(78,1),(115,1)}
        58:{1,2,3,5,6,7}:{(36,1),(47,1),(74,1),(79,1),(80,1),(85,1),(89,1),(114,1),(118,1),(121,1),(146,1)}
        59:{1,2,4,6,7}:{(36,1),(37,1),(48,1),(75,1),(80,1),(81,1)}
        60:{1,2,4,5,7}:{(37,1),(38,1),(42,1),(49,1),(76,1),(80,1),(81,1)}
        61:{1,2,4,5,7}:{(39,1),(43,1),(77,1),(82,1),(123,1),(129,1),(146,1)}
        62:{1,2,4,5,7}:{(40,1),(44,1),(78,1),(83,1),(123,1),(144,1),(146,1)}
        63:{1,2,3,5,7}:{(41,1),(80,1),(84,1),(85,1),(121,1),(146,1)}
        64:{1,2,3,6}:{(42,1),(81,1)}
        65:{2,3,5,6}:{(43,1),(82,1),(87,1)}
        66:{1,3,5,6}:{(44,1),(83,1),(88,1)}
        67:{1,2,5,6,7}:{(45,1),(77,1),(89,1),(146,1)}
        68:{3,5,6,7}:{(46,1),(90,1),(121,1)}
        69:{1,4,6,7}:{(47,1),(90,1),(91,1)}
        70:{1,3,5,7}:{(48,1),(80,1),(91,1),(92,1),(121,1)}
        71:{1,3,4,6}:{(49,1),(81,1),(92,1),(126,1)}
        72:{2,3,5,6,7}:{(51,1),(57,1),(93,1),(94,1),(135,1)}
        73:{1,2,4,5,6,7}:{(50,1),(51,1),(52,1),(93,1),(94,1),(95,1),(101,1),(131,1)}
        74:{2,3,5,6,7}:{(52,1),(53,1),(94,1),(95,1),(96,1)}
        75:{2,3,4,6,7}:{(53,1),(54,1),(59,1),(95,1),(96,1),(97,1),(100,1)}
        76:{2,3,4,5,7}:{(54,1),(55,1),(60,1),(96,1),(97,1),(106,1)}
        77:{1,2,4,6,7}:{(56,1),(61,1),(67,1),(98,1),(111,1)}
        78:{1,2,4,6,7}:{(57,1),(62,1),(93,1),(99,1),(131,1)}
        79:{1,2,4,6,7}:{(58,1),(69,1),(95,1),(100,1),(101,1),(107,1),(111,1),(131,1)}
        80:{1,2,5,7}:{(59,1),(70,1),(96,1),(102,1)}
        81:{1,2,4,6}:{(60,1),(64,1),(71,1),(97,1),(102,1)}
        82:{2,3,5,7}:{(61,1),(65,1),(98,1),(104,1)}
        83:{1,3,5,7}:{(62,1),(66,1),(99,1),(105,1)}
        84:{1,2,4,5,7}:{(63,1),(106,1),(107,1)}
        85:{1,2,3,5,6}:{(63,1),(64,1),(102,1),(107,1),(137,1),(152,1),(153,1)}
        86:{1,2,3,5,6}:{(65,1),(66,1),(103,1),(108,1),(142,1),(152,1),(153,1)}
        87:{2,3,4,6}:{(65,1),(104,1),(108,1),(109,1)}
        88:{1,3,4,6}:{(66,1),(105,1),(108,1),(110,1)}
        89:{2,3,5,6,7}:{(67,1),(68,1),(98,1),(111,1),(135,1)}
        90:{3,4,6,7}:{(68,1),(69,1),(111,1),(112,1)}
        91:{1,4,5,7}:{(69,1),(70,1),(112,1),(113,1)}
        92:{1,3,5,6}:{(70,1),(71,1),(102,1),(113,1),(137,1)}
        93:{1,2,5,6,7}:{(72,1),(78,1),(114,1),(146,1)}
        94:{3,5,6,7}:{(73,1),(115,1),(121,1)}
        95:{2,4,6,7}:{(74,1),(115,1),(116,1)}
        96:{2,3,5,7}:{(75,1),(80,1),(116,1),(117,1),(121,1)}
        97:{2,3,4,6}:{(76,1),(81,1),(117,1),(126,1)}
        98:{2,3,6,7}:{(77,1),(82,1)}
        99:{1,3,6,7}:{(78,1),(83,1)}
       100:{3,4,6,7}:{(79,1),(121,1),(126,1)}
       101:{1,2,4,5,7}:{(79,1),(80,1),(91,1),(116,1),(121,1),(122,1),(129,1),(144,1),(146,1)}
       102:{1,2,5,6}:{(80,1),(81,1),(92,1),(117,1)}
       103:{1,2,3,5,7}:{(82,1),(83,1),(86,1),(118,1),(123,1),(146,1)}
       104:{2,3,4,7}:{(82,1),(87,1),(123,1)}
       105:{1,3,4,7}:{(83,1),(88,1),(123,1)}
       106:{3,4,5,7}:{(84,1),(121,1),(126,1)}
       107:{1,2,4,6}:{(84,1),(85,1),(126,1)}
       108:{1,2,4,6}:{(86,1),(87,1),(88,1),(123,1),(128,1)}
       109:{2,3,4,5}:{(87,1),(128,1)}
       110:{1,3,4,5}:{(88,1),(128,1)}
       111:{2,4,6,7}:{(89,1),(90,1),(129,1)}
       112:{3,4,5,7}:{(90,1),(91,1),(121,1),(129,1),(130,1)}
       113:{1,4,5,6}:{(91,1),(92,1),(130,1)}
       114:{1,3,5,6,7}:{(93,1),(94,1),(99,1),(131,1),(136,1)}
       115:{3,4,6,7}:{(94,1),(95,1),(131,1),(132,1)}
       116:{2,4,5,7}:{(95,1),(96,1),(132,1),(133,1)}
       117:{2,3,5,6}:{(96,1),(97,1),(102,1),(133,1),(137,1)}
       118:{1,2,3,6,7}:{(98,1),(99,1),(103,1),(134,1),(153,1)}
       119:{2,3,4,6,7}:{(98,1),(100,1),(104,1),(111,1),(134,1),(135,1),(140,1)}
       120:{1,3,4,6,7}:{(99,1),(100,1),(105,1),(131,1),(134,1),(136,1),(141,1)}
       121:{3,5,7}:{(100,1),(101,1),(137,1)}
       122:{1,2,4,5,6}:{(101,1),(102,1),(107,1),(113,1),(133,1),(137,1),(143,1),(151,1),(152,1)}
       123:{1,2,4,7}:{(103,1),(104,1),(105,1),(108,1)}
       124:{2,3,4,5,7}:{(104,1),(106,1),(109,1),(135,1),(139,1),(140,1)}
       125:{1,3,4,5,7}:{(105,1),(106,1),(110,1),(136,1),(139,1),(141,1)}
       126:{3,4,6}:{(106,1),(107,1),(137,1)}
       127:{1,2,3,4,6}:{(108,1),(138,1),(142,1),(153,1)}
       128:{1,2,4,5}:{(108,1),(109,1),(110,1),(142,1)}
       129:{2,4,5,7}:{(111,1),(112,1),(135,1),(143,1)}
       130:{3,4,5,6}:{(112,1),(113,1),(137,1),(143,1)}
       131:{1,4,6,7}:{(114,1),(115,1),(144,1)}
       132:{3,4,5,7}:{(115,1),(116,1),(121,1),(144,1),(145,1)}
       133:{2,4,5,6}:{(116,1),(117,1),(145,1)}
       134:{1,2,4,6,7}:{(118,1),(119,1),(120,1),(123,1),(146,1),(150,1)}
       135:{2,3,5,7}:{(119,1),(121,1),(129,1),(146,1),(147,1)}
       136:{1,3,5,7}:{(120,1),(121,1),(144,1),(146,1),(148,1)}
       137:{3,5,6}:{(121,1),(122,1),(126,1)}
       138:{1,2,3,4,7}:{(123,1),(127,1),(149,1)}
       139:{1,2,4,5,7}:{(123,1),(124,1),(125,1),(128,1),(146,1),(149,1),(150,1)}
       140:{2,3,4,6}:{(124,1),(126,1),(147,1),(150,1)}
       141:{1,3,4,6}:{(125,1),(126,1),(148,1),(150,1)}
       142:{1,2,3,5}:{(127,1),(128,1)}
       143:{2,4,5,6}:{(129,1),(130,1),(147,1)}
       144:{1,4,5,7}:{(131,1),(132,1),(136,1),(151,1)}
       145:{3,4,5,6}:{(132,1),(133,1),(137,1),(151,1)}
       146:{1,2,5,7}:{(134,1),(135,1),(136,1),(152,1)}
       147:{2,3,5,6}:{(135,1),(137,1),(140,1),(143,1),(152,1)}
       148:{1,3,5,6}:{(136,1),(137,1),(141,1),(151,1),(152,1)}
       149:{1,2,3,5,7}:{(138,1),(139,1),(142,1),(153,1)}
       150:{1,2,4,6}:{(139,1),(140,1),(141,1),(152,1),(153,1)}
       151:{1,4,5,6}:{(144,1),(145,1),(148,1)}
       152:{1,2,5,6}:{(146,1),(147,1),(148,1),(150,1)}
       153:{1,2,3,6}:{(149,1),(150,1)}

2202 :   0:{2,3,4,5,6}:{(2,1),(3,1),(36,1),(67,1),(78,1)}
         1:{1,2,3,4,6}:{(5,1),(6,1),(26,1),(29,1)}
         2:{1,2,4,5,6}:{(0,1),(8,1),(9,1),(26,1),(57,1),(62,1)}
         3:{2,3,4,5,7}:{(0,1),(9,1),(10,1),(51,1),(82,1),(93,1)}
         4:{1,3,4,5,6}:{(11,1),(12,1),(17,1),(47,1),(100,1)}
         5:{1,2,3,5}:{(1,1),(13,1)}
         6:{1,2,3,4,7}:{(1,1),(15,1),(41,1)}
         7:{1,3,4,5}:{(13,1),(17,1)}
         8:{1,3,5,6}:{(2,1),(17,1),(19,1)}
         9:{1,2,4,5,7}:{(2,1),(3,1),(19,1),(20,1),(41,1),(71,1),(77,1)}
        10:{2,3,4,6,7}:{(3,1),(20,1),(21,1),(79,1)}
        11:{1,2,4,5,6}:{(4,1),(23,1),(24,1),(26,1),(57,1),(83,1)}
        12:{1,3,4,5,7}:{(4,1),(24,1),(25,1),(31,1),(61,1),(115,1)}
        13:{1,2,4,5}:{(5,1),(7,1),(22,1),(26,1)}
        14:{1,2,3,5,6}:{(5,1),(8,1),(23,1),(26,1),(28,1),(29,1),(57,1)}
        15:{1,2,3,5,7}:{(5,1),(6,1),(27,1),(29,1)}
        16:{1,2,3,4,6,7}:{(6,1),(29,1),(30,1),(56,1),(59,1),(89,1),(124,1),(125,1),(126,1)}
        17:{1,3,4,6}:{(7,1),(8,1),(26,1),(31,1)}
        18:{1,3,4,5,7}:{(7,1),(27,1),(31,1),(32,1),(60,1),(61,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(31,1),(33,1)}
        20:{1,2,4,6,7}:{(9,1),(10,1),(33,1),(34,1),(63,1)}
        21:{2,3,5,6,7}:{(10,1),(34,1),(35,1),(64,1),(82,1)}
        22:{2,3,4,5}:{(13,1),(36,1)}
        23:{2,3,5,6}:{(11,1),(36,1),(38,1)}
        24:{1,2,4,5,7}:{(11,1),(12,1),(38,1),(39,1),(41,1),(71,1),(99,1)}
        25:{1,3,4,6,7}:{(12,1),(39,1),(40,1),(101,1)}
        26:{1,2,4,6}:{(13,1),(14,1),(17,1),(36,1),(41,1)}
        27:{1,2,4,5,7}:{(13,1),(15,1),(18,1),(37,1),(41,1),(42,1),(71,1)}
        28:{1,2,3,5,7}:{(14,1),(19,1),(38,1),(41,1),(43,1),(71,1)}
        29:{1,2,3,6}:{(15,1),(42,1)}
        30:{1,2,3,5,7}:{(16,1),(44,1),(45,1),(71,1),(104,1),(134,1)}
        31:{1,3,4,7}:{(17,1),(19,1),(41,1)}
        32:{1,3,4,6}:{(18,1),(42,1),(47,1),(74,1)}
        33:{1,3,6,7}:{(19,1),(20,1)}
        34:{1,2,5,6,7}:{(20,1),(21,1),(48,1),(71,1)}
        35:{2,4,5,6,7}:{(21,1),(50,1),(99,1)}
        36:{2,3,4,6}:{(22,1),(23,1),(26,1),(51,1)}
        37:{2,3,4,5,7}:{(22,1),(27,1),(51,1),(52,1),(60,1),(82,1)}
        38:{2,3,5,7}:{(23,1),(24,1),(51,1),(53,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(53,1),(54,1),(84,1)}
        40:{1,3,5,6,7}:{(25,1),(54,1),(55,1),(61,1),(85,1)}
        41:{1,2,4,7}:{(26,1),(28,1),(31,1),(51,1)}
        42:{1,2,4,6}:{(27,1),(29,1),(32,1),(52,1),(57,1)}
        43:{1,2,3,6,7}:{(28,1),(29,1),(33,1),(53,1),(56,1)}
        44:{1,2,3,5,6}:{(29,1),(30,1),(57,1),(59,1),(88,1),(123,1),(125,1)}
        45:{1,2,4,5,7}:{(30,1),(59,1),(60,1)}
        46:{1,3,4,6,7}:{(31,1),(32,1),(33,1),(56,1),(61,1),(63,1),(89,1)}
        47:{1,3,5,6}:{(32,1),(57,1),(61,1),(62,1),(88,1)}
        48:{1,3,5,6,7}:{(33,1),(34,1),(61,1),(63,1),(64,1)}
        49:{1,2,4,5,6,7}:{(34,1),(35,1),(63,1),(64,1),(65,1),(87,1),(97,1),(98,1)}
        50:{3,4,5,6,7}:{(35,1),(64,1),(65,1),(115,1)}
        51:{2,3,4,7}:{(36,1),(38,1),(41,1)}
        52:{2,3,4,6}:{(37,1),(42,1),(67,1),(74,1)}
        53:{2,3,6,7}:{(38,1),(39,1)}
        54:{1,2,5,6,7}:{(39,1),(40,1),(68,1),(71,1)}
        55:{1,4,5,6,7}:{(40,1),(70,1),(77,1)}
        56:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(46,1),(66,1),(71,1)}
        57:{1,2,5,6}:{(42,1),(47,1),(67,1),(71,1)}
        58:{1,2,3,5,6,7}:{(43,1),(44,1),(48,1),(68,1),(71,1),(73,1),(81,1),(102,1),(104,1),(134,1),(136,1)}
        59:{1,2,4,6}:{(44,1),(45,1),(74,1)}
        60:{3,4,5,7}:{(45,1),(74,1),(104,1)}
        61:{1,3,5,7}:{(46,1),(47,1),(71,1),(77,1),(104,1)}
        62:{1,4,5,6}:{(47,1),(77,1),(78,1)}
        63:{1,4,6,7}:{(48,1),(77,1),(79,1)}
        64:{3,5,6,7}:{(49,1),(79,1),(104,1)}
        65:{1,4,5,6,7}:{(50,1),(80,1),(130,1)}
        66:{2,3,4,6,7}:{(51,1),(52,1),(53,1),(56,1),(82,1),(84,1),(89,1)}
        67:{2,3,5,6}:{(52,1),(57,1),(82,1),(83,1),(88,1)}
        68:{2,3,5,6,7}:{(53,1),(54,1),(82,1),(84,1),(85,1)}
        69:{1,2,4,5,6,7}:{(54,1),(55,1),(84,1),(85,1),(86,1),(87,1),(118,1),(120,1)}
        70:{3,4,5,6,7}:{(55,1),(85,1),(86,1),(93,1)}
        71:{1,2,5,7}:{(56,1),(57,1),(61,1),(82,1)}
        72:{1,2,4,5,6}:{(57,1),(59,1),(62,1),(83,1),(87,1),(88,1),(95,1),(116,1),(123,1)}
        73:{1,2,4,6,7}:{(58,1),(59,1),(63,1),(84,1),(87,1),(89,1),(97,1),(118,1)}
        74:{3,4,6}:{(59,1),(60,1),(88,1)}
        75:{1,3,4,5,7}:{(60,1),(90,1),(92,1),(121,1),(152,1),(153,1)}
        76:{2,3,4,5,7}:{(60,1),(91,1),(92,1),(122,1),(146,1),(147,1)}
        77:{1,4,5,7}:{(61,1),(62,1),(63,1),(93,1)}
        78:{3,4,5,6}:{(62,1),(88,1),(93,1),(95,1)}
        79:{3,4,6,7}:{(63,1),(64,1),(93,1),(97,1)}
        80:{1,3,5,6,7}:{(64,1),(65,1),(96,1),(98,1),(121,1)}
        81:{2,3,5,6,7}:{(64,1),(97,1),(98,1),(122,1),(129,1)}
        82:{2,3,5,7}:{(66,1),(67,1),(71,1),(99,1),(104,1)}
        83:{2,4,5,6}:{(67,1),(99,1),(100,1)}
        84:{2,4,6,7}:{(68,1),(99,1),(101,1)}
        85:{3,5,6,7}:{(69,1),(101,1),(104,1)}
        86:{2,4,5,6,7}:{(70,1),(103,1),(112,1)}
        87:{1,2,4,5,7}:{(71,1),(72,1),(73,1),(77,1),(99,1),(104,1),(112,1),(130,1),(134,1)}
        88:{3,5,6}:{(72,1),(74,1),(104,1)}
        89:{3,4,6,7}:{(73,1),(74,1),(104,1)}
        90:{1,3,4,6}:{(74,1),(75,1),(105,1),(109,1)}
        91:{2,3,4,6}:{(74,1),(76,1),(106,1),(109,1)}
        92:{1,2,4,5,7}:{(75,1),(76,1),(109,1),(110,1),(134,1),(150,1),(151,1)}
        93:{3,4,5,7}:{(77,1),(78,1),(79,1),(104,1),(112,1)}
        94:{1,3,4,5,6}:{(78,1),(105,1),(111,1),(113,1),(149,1)}
        95:{2,4,5,6}:{(78,1),(106,1),(112,1)}
        96:{1,3,4,6,7}:{(79,1),(80,1),(111,1),(114,1)}
        97:{2,4,6,7}:{(79,1),(81,1),(112,1)}
        98:{1,2,5,6,7}:{(80,1),(81,1),(114,1),(134,1)}
        99:{2,4,5,7}:{(82,1),(83,1),(84,1),(115,1)}
       100:{3,4,5,6}:{(83,1),(88,1),(115,1),(116,1)}
       101:{3,4,6,7}:{(84,1),(85,1),(115,1),(118,1)}
       102:{1,3,5,6,7}:{(85,1),(118,1),(120,1),(121,1),(142,1)}
       103:{2,3,5,6,7}:{(85,1),(86,1),(119,1),(120,1),(122,1)}
       104:{3,5,7}:{(87,1),(88,1),(89,1)}
       105:{1,3,5,6}:{(88,1),(90,1),(116,1),(121,1),(123,1)}
       106:{2,3,5,6}:{(88,1),(91,1),(95,1),(122,1),(123,1)}
       107:{1,3,4,6,7}:{(89,1),(90,1),(118,1),(121,1),(124,1),(142,1),(152,1)}
       108:{2,3,4,6,7}:{(89,1),(91,1),(97,1),(122,1),(124,1),(129,1),(146,1)}
       109:{1,2,4,6}:{(90,1),(91,1),(92,1),(123,1),(125,1)}
       110:{1,2,3,5,7}:{(92,1),(125,1),(126,1),(145,1)}
       111:{1,3,4,5,7}:{(93,1),(94,1),(96,1),(121,1),(127,1),(152,1)}
       112:{2,4,5,7}:{(93,1),(95,1),(97,1),(122,1)}
       113:{1,2,4,5,6}:{(94,1),(95,1),(123,1),(127,1),(128,1),(144,1)}
       114:{1,2,4,6,7}:{(96,1),(97,1),(98,1),(127,1),(129,1)}
       115:{3,4,5,7}:{(99,1),(100,1),(101,1),(104,1),(130,1)}
       116:{1,4,5,6}:{(100,1),(105,1),(130,1)}
       117:{2,3,4,5,6}:{(100,1),(106,1),(131,1),(132,1),(139,1)}
       118:{1,4,6,7}:{(101,1),(102,1),(130,1)}
       119:{2,3,4,6,7}:{(101,1),(103,1),(131,1),(133,1)}
       120:{1,2,5,6,7}:{(102,1),(103,1),(133,1),(134,1)}
       121:{1,3,5,7}:{(104,1),(105,1),(107,1),(130,1),(134,1)}
       122:{2,3,5,7}:{(104,1),(106,1),(108,1),(112,1),(134,1)}
       123:{1,2,5,6}:{(105,1),(106,1),(109,1),(134,1)}
       124:{1,2,4,6,7}:{(107,1),(108,1),(109,1),(134,1),(136,1),(150,1)}
       125:{1,2,3,6}:{(109,1),(110,1)}
       126:{1,2,3,4,7}:{(110,1),(137,1),(150,1)}
       127:{1,2,4,5,7}:{(111,1),(112,1),(113,1),(114,1),(134,1),(138,1),(150,1)}
       128:{2,3,5,6}:{(113,1),(138,1),(139,1)}
       129:{2,3,6,7}:{(114,1),(138,1)}
       130:{1,4,5,7}:{(115,1),(116,1),(118,1),(121,1)}
       131:{2,3,4,5,7}:{(115,1),(117,1),(119,1),(122,1),(140,1),(146,1)}
       132:{1,2,4,5,6}:{(116,1),(117,1),(123,1),(140,1),(141,1),(144,1)}
       133:{1,2,4,6,7}:{(118,1),(119,1),(120,1),(140,1),(142,1)}
       134:{1,2,5,7}:{(121,1),(122,1),(123,1),(124,1)}
       135:{1,2,3,5,6}:{(123,1),(125,1),(128,1),(141,1),(143,1),(144,1),(145,1)}
       136:{1,2,3,6,7}:{(124,1),(125,1),(129,1),(142,1),(143,1)}
       137:{1,2,3,4,6}:{(125,1),(126,1),(144,1),(145,1)}
       138:{2,3,5,7}:{(127,1),(128,1),(129,1),(146,1)}
       139:{2,3,4,6}:{(128,1),(144,1),(146,1),(147,1)}
       140:{1,2,4,5,7}:{(130,1),(131,1),(132,1),(133,1),(134,1),(148,1),(150,1)}
       141:{1,3,5,6}:{(132,1),(148,1),(149,1)}
       142:{1,3,6,7}:{(133,1),(148,1)}
       143:{1,2,3,5,7}:{(134,1),(135,1),(136,1),(138,1),(148,1),(150,1)}
       144:{1,2,4,6}:{(135,1),(139,1),(149,1),(150,1),(151,1)}
       145:{1,2,3,5}:{(137,1),(151,1)}
       146:{2,3,4,7}:{(138,1),(139,1),(150,1)}
       147:{2,3,4,5}:{(139,1),(151,1)}
       148:{1,3,5,7}:{(140,1),(141,1),(142,1),(152,1)}
       149:{1,3,4,6}:{(141,1),(144,1),(152,1),(153,1)}
       150:{1,2,4,7}:{(143,1),(144,1),(146,1),(152,1)}
       151:{1,2,4,5}:{(144,1),(145,1),(147,1),(153,1)}
       152:{1,3,4,7}:{(148,1),(149,1),(150,1)}
       153:{1,3,4,5}:{(149,1),(151,1)}

2203 :   0:{1,3,4,5,6}:{(3,1),(4,1),(50,1),(57,1),(100,1)}
         1:{3,4,5,6,7}:{(5,1),(6,1),(30,1),(144,1)}
         2:{1,2,3,4,6}:{(7,1),(9,1),(32,1),(36,1)}
         3:{1,2,4,5,6}:{(0,1),(11,1),(12,1),(36,1),(74,1),(78,1)}
         4:{1,3,4,5,7}:{(0,1),(8,1),(12,1),(76,1),(82,1),(121,1)}
         5:{2,4,5,6,7}:{(1,1),(14,1),(149,1)}
         6:{1,4,5,6,7}:{(1,1),(15,1),(135,1)}
         7:{1,2,3,4,7}:{(2,1),(17,1),(59,1)}
         8:{1,3,4,6,7}:{(4,1),(15,1),(19,1),(51,1)}
         9:{1,2,3,5}:{(2,1),(20,1)}
        10:{2,3,4,5}:{(20,1),(22,1)}
        11:{2,3,5,6}:{(3,1),(22,1),(23,1)}
        12:{1,2,4,5,7}:{(3,1),(4,1),(19,1),(23,1),(59,1),(98,1),(102,1)}
        13:{1,2,3,4,6,7}:{(7,1),(25,1),(27,1),(32,1),(66,1),(70,1),(79,1),(113,1),(116,1)}
        14:{2,3,5,6,7}:{(5,1),(26,1),(28,1),(30,1),(142,1)}
        15:{1,3,5,6,7}:{(6,1),(8,1),(29,1),(30,1),(121,1)}
        16:{1,2,4,5,6,7}:{(5,1),(6,1),(28,1),(29,1),(30,1),(73,1),(75,1),(117,1)}
        17:{1,2,3,5,7}:{(7,1),(9,1),(31,1),(32,1)}
        18:{2,3,4,5,7}:{(10,1),(31,1),(33,1),(39,1),(69,1),(80,1)}
        19:{1,2,4,6,7}:{(8,1),(12,1),(29,1),(34,1),(75,1)}
        20:{1,2,4,5}:{(9,1),(10,1),(35,1),(36,1)}
        21:{1,2,3,5,6}:{(9,1),(11,1),(32,1),(36,1),(37,1),(78,1),(81,1)}
        22:{2,3,4,6}:{(10,1),(11,1),(36,1),(39,1)}
        23:{2,3,5,7}:{(11,1),(12,1),(34,1),(39,1)}
        24:{2,3,4,5,6}:{(41,1),(42,1),(50,1),(124,1),(128,1)}
        25:{1,2,3,4,7}:{(40,1),(43,1),(126,1)}
        26:{2,3,4,6,7}:{(14,1),(42,1),(45,1),(51,1)}
        27:{1,2,3,5,7}:{(13,1),(46,1),(47,1),(102,1),(130,1),(133,1)}
        28:{1,2,5,6,7}:{(14,1),(45,1),(48,1),(130,1)}
        29:{1,2,5,6,7}:{(15,1),(19,1),(49,1),(102,1)}
        30:{3,5,6,7}:{(16,1),(51,1),(133,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(20,1),(52,1),(53,1),(59,1),(102,1)}
        32:{1,2,3,6}:{(17,1),(53,1)}
        33:{2,3,4,6}:{(18,1),(53,1),(55,1),(94,1)}
        34:{2,3,6,7}:{(19,1),(23,1)}
        35:{1,3,4,5}:{(20,1),(57,1)}
        36:{1,2,4,6}:{(20,1),(21,1),(22,1),(57,1),(59,1)}
        37:{1,2,3,5,7}:{(21,1),(23,1),(54,1),(59,1),(102,1),(104,1)}
        38:{2,3,4,5,6}:{(22,1),(55,1),(58,1),(60,1),(132,1)}
        39:{2,3,4,7}:{(22,1),(23,1),(59,1)}
        40:{1,2,3,4,6}:{(25,1),(61,1),(66,1),(107,1)}
        41:{1,2,4,5,6}:{(24,1),(63,1),(64,1),(72,1),(107,1),(112,1)}
        42:{2,3,4,5,7}:{(24,1),(26,1),(64,1),(76,1),(138,1),(142,1)}
        43:{1,2,3,5,7}:{(25,1),(61,1),(65,1),(66,1)}
        44:{1,3,4,5,7}:{(62,1),(65,1),(67,1),(69,1),(110,1),(114,1)}
        45:{1,2,4,6,7}:{(26,1),(28,1),(64,1),(68,1),(73,1)}
        46:{1,2,4,5,7}:{(27,1),(69,1),(70,1)}
        47:{1,2,3,5,6}:{(27,1),(32,1),(66,1),(70,1),(78,1),(112,1),(115,1)}
        48:{1,3,5,6,7}:{(28,1),(30,1),(68,1),(73,1),(114,1)}
        49:{2,3,5,6,7}:{(29,1),(30,1),(34,1),(75,1),(80,1)}
        50:{3,4,5,6}:{(72,1),(74,1),(76,1),(115,1)}
        51:{3,4,6,7}:{(30,1),(73,1),(75,1),(76,1)}
        52:{1,3,4,5,7}:{(31,1),(35,1),(69,1),(77,1),(82,1),(121,1)}
        53:{1,2,4,6}:{(31,1),(32,1),(33,1),(77,1),(78,1)}
        54:{1,2,3,6,7}:{(32,1),(34,1),(37,1),(79,1),(123,1)}
        55:{2,3,5,6}:{(33,1),(74,1),(78,1),(80,1),(115,1)}
        56:{2,3,4,6,7}:{(33,1),(34,1),(39,1),(75,1),(79,1),(80,1),(116,1)}
        57:{1,3,4,6}:{(35,1),(36,1),(81,1),(82,1)}
        58:{1,2,4,5,6}:{(36,1),(38,1),(78,1),(81,1),(83,1),(120,1)}
        59:{1,2,4,7}:{(36,1),(37,1),(39,1),(82,1)}
        60:{2,3,4,5,7}:{(38,1),(39,1),(80,1),(83,1),(84,1),(144,1)}
        61:{1,2,3,5}:{(40,1),(85,1)}
        62:{1,3,4,5}:{(85,1),(87,1)}
        63:{1,3,5,6}:{(41,1),(87,1),(88,1)}
        64:{1,2,4,5,7}:{(41,1),(42,1),(45,1),(88,1),(97,1),(126,1),(130,1)}
        65:{1,2,4,5,7}:{(43,1),(44,1),(85,1),(89,1),(90,1),(126,1),(130,1)}
        66:{1,2,3,6}:{(43,1),(90,1)}
        67:{1,3,4,6}:{(44,1),(90,1),(92,1),(94,1)}
        68:{1,3,6,7}:{(45,1),(88,1)}
        69:{3,4,5,7}:{(46,1),(94,1),(133,1)}
        70:{1,2,4,6}:{(46,1),(47,1),(94,1)}
        71:{1,2,3,5,6,7}:{(47,1),(48,1),(49,1),(54,1),(91,1),(96,1),(102,1),(130,1),(133,1),(136,1),(150,1)}
        72:{1,4,5,6}:{(50,1),(92,1),(97,1)}
        73:{1,4,6,7}:{(48,1),(51,1),(97,1)}
        74:{2,4,5,6}:{(50,1),(55,1),(98,1)}
        75:{2,4,6,7}:{(49,1),(51,1),(98,1)}
        76:{3,4,5,7}:{(50,1),(51,1),(97,1),(98,1),(133,1)}
        77:{1,3,4,6}:{(52,1),(53,1),(94,1),(100,1)}
        78:{1,2,5,6}:{(53,1),(55,1),(100,1),(102,1)}
        79:{1,2,4,6,7}:{(53,1),(54,1),(56,1),(59,1),(101,1),(102,1)}
        80:{2,3,5,7}:{(55,1),(56,1),(98,1),(102,1),(133,1)}
        81:{1,3,5,6}:{(57,1),(58,1),(104,1)}
        82:{1,3,4,7}:{(57,1),(59,1),(104,1)}
        83:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(102,1),(104,1),(105,1),(135,1)}
        84:{2,3,4,6,7}:{(60,1),(103,1),(105,1),(151,1)}
        85:{1,2,4,5}:{(61,1),(62,1),(106,1),(107,1)}
        86:{1,2,3,5,6}:{(61,1),(63,1),(66,1),(107,1),(108,1),(112,1),(137,1)}
        87:{1,3,4,6}:{(62,1),(63,1),(107,1),(110,1)}
        88:{1,3,5,7}:{(63,1),(64,1),(68,1),(110,1)}
        89:{2,3,4,5,7}:{(65,1),(69,1),(106,1),(111,1),(138,1),(142,1)}
        90:{1,2,4,6}:{(65,1),(66,1),(67,1),(111,1),(112,1)}
        91:{1,2,3,6,7}:{(66,1),(68,1),(108,1),(113,1),(152,1)}
        92:{1,3,5,6}:{(67,1),(72,1),(112,1),(114,1),(115,1)}
        93:{1,3,4,6,7}:{(67,1),(68,1),(73,1),(110,1),(113,1),(114,1),(116,1)}
        94:{3,4,6}:{(69,1),(70,1),(115,1)}
        95:{1,2,4,5,6}:{(70,1),(72,1),(74,1),(78,1),(112,1),(115,1),(117,1),(120,1),(141,1)}
        96:{1,2,4,6,7}:{(70,1),(71,1),(73,1),(75,1),(116,1),(117,1),(146,1),(153,1)}
        97:{1,4,5,7}:{(72,1),(73,1),(76,1),(114,1)}
        98:{2,4,5,7}:{(74,1),(75,1),(76,1),(80,1)}
        99:{3,4,5,6,7}:{(76,1),(118,1),(119,1),(145,1)}
       100:{1,3,5,6}:{(77,1),(78,1),(115,1),(120,1),(121,1)}
       101:{1,3,4,6,7}:{(77,1),(79,1),(82,1),(116,1),(121,1),(123,1),(146,1)}
       102:{1,2,5,7}:{(78,1),(79,1),(80,1),(121,1)}
       103:{2,3,5,6,7}:{(80,1),(84,1),(119,1),(122,1),(145,1)}
       104:{1,3,5,7}:{(81,1),(82,1),(83,1),(123,1)}
       105:{1,2,4,6,7}:{(83,1),(84,1),(122,1),(123,1),(146,1)}
       106:{2,3,4,5}:{(85,1),(124,1)}
       107:{1,2,4,6}:{(85,1),(86,1),(87,1),(124,1),(126,1)}
       108:{1,2,3,5,7}:{(86,1),(88,1),(91,1),(126,1),(130,1),(147,1)}
       109:{1,3,4,5,6}:{(87,1),(92,1),(125,1),(127,1),(132,1)}
       110:{1,3,4,7}:{(87,1),(88,1),(126,1)}
       111:{2,3,4,6}:{(89,1),(90,1),(94,1),(128,1)}
       112:{1,2,5,6}:{(90,1),(92,1),(128,1),(130,1)}
       113:{1,2,4,6,7}:{(90,1),(91,1),(93,1),(126,1),(129,1),(130,1)}
       114:{1,3,5,7}:{(92,1),(93,1),(97,1),(130,1),(133,1)}
       115:{3,5,6}:{(94,1),(95,1),(133,1)}
       116:{3,4,6,7}:{(94,1),(96,1),(133,1)}
       117:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(98,1),(102,1),(130,1),(133,1),(135,1),(149,1)}
       118:{1,4,5,6,7}:{(97,1),(99,1),(131,1)}
       119:{2,4,5,6,7}:{(98,1),(99,1),(103,1)}
       120:{1,4,5,6}:{(100,1),(132,1),(135,1)}
       121:{1,3,5,7}:{(100,1),(101,1),(102,1),(133,1),(135,1)}
       122:{1,2,5,6,7}:{(102,1),(103,1),(105,1),(136,1)}
       123:{1,3,6,7}:{(104,1),(105,1)}
       124:{2,3,4,6}:{(106,1),(107,1),(137,1),(138,1)}
       125:{1,2,4,5,6}:{(107,1),(109,1),(112,1),(137,1),(139,1),(141,1)}
       126:{1,2,4,7}:{(107,1),(108,1),(110,1),(138,1)}
       127:{1,3,4,5,7}:{(109,1),(110,1),(114,1),(139,1),(140,1),(144,1)}
       128:{2,3,5,6}:{(111,1),(112,1),(115,1),(141,1),(142,1)}
       129:{2,3,4,6,7}:{(111,1),(113,1),(116,1),(138,1),(142,1),(152,1),(153,1)}
       130:{1,2,5,7}:{(112,1),(113,1),(114,1),(142,1)}
       131:{1,3,5,6,7}:{(114,1),(118,1),(140,1),(143,1),(145,1)}
       132:{3,4,5,6}:{(115,1),(120,1),(141,1),(144,1)}
       133:{3,5,7}:{(115,1),(116,1),(117,1)}
       134:{1,2,4,5,6,7}:{(117,1),(118,1),(119,1),(122,1),(143,1),(145,1),(146,1),(153,1)}
       135:{1,4,5,7}:{(120,1),(121,1),(144,1),(146,1)}
       136:{1,3,5,6,7}:{(121,1),(122,1),(123,1),(145,1),(146,1)}
       137:{2,3,5,6}:{(124,1),(125,1),(147,1)}
       138:{2,3,4,7}:{(124,1),(126,1),(147,1)}
       139:{1,2,4,5,7}:{(125,1),(126,1),(127,1),(130,1),(147,1),(148,1),(149,1)}
       140:{1,3,4,6,7}:{(127,1),(131,1),(148,1),(151,1)}
       141:{2,4,5,6}:{(128,1),(132,1),(149,1)}
       142:{2,3,5,7}:{(128,1),(129,1),(130,1),(133,1),(149,1)}
       143:{1,2,5,6,7}:{(130,1),(131,1),(148,1),(150,1)}
       144:{3,4,5,7}:{(132,1),(133,1),(135,1),(149,1),(151,1)}
       145:{3,5,6,7}:{(133,1),(134,1),(151,1)}
       146:{1,4,6,7}:{(135,1),(136,1),(151,1)}
       147:{2,3,5,7}:{(137,1),(138,1),(139,1),(152,1)}
       148:{1,2,4,6,7}:{(139,1),(140,1),(143,1),(152,1),(153,1)}
       149:{2,4,5,7}:{(141,1),(142,1),(144,1),(153,1)}
       150:{2,3,5,6,7}:{(142,1),(143,1),(145,1),(152,1),(153,1)}
       151:{3,4,6,7}:{(144,1),(145,1),(146,1),(153,1)}
       152:{2,3,6,7}:{(147,1),(148,1)}
       153:{2,4,6,7}:{(149,1),(150,1),(151,1)}

2204 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(18,1),(37,1),(38,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(24,1),(47,1)}
        2:{1,2,4,5,7}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,5,6}:{(1,1),(5,1),(12,1),(34,1),(37,1)}
        4:{3,4,5,7}:{(2,1),(10,1),(24,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(10,1)}
        6:{1,2,3,5,6,7}:{(3,1),(11,1),(24,1),(43,1),(44,1),(47,1),(48,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(29,1),(30,1),(34,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(16,1),(35,1),(51,1),(62,1)}
        9:{1,3,4,5,7}:{(4,1),(15,1),(17,1),(36,1),(51,1),(62,1)}
       10:{3,4,6}:{(4,1),(5,1),(12,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(13,1),(18,1),(49,1),(50,1)}
       12:{3,5,6}:{(7,1),(10,1),(24,1)}
       13:{1,2,4,5,7}:{(7,1),(11,1),(24,1),(41,1),(42,1),(47,1)}
       14:{1,2,3,4,7}:{(21,1),(25,1),(60,1)}
       15:{1,2,4,5,7}:{(8,1),(9,1),(25,1),(26,1),(45,1),(47,1),(60,1)}
       16:{2,3,4,6}:{(8,1),(10,1),(22,1),(26,1),(58,1)}
       17:{1,3,4,6}:{(9,1),(10,1),(23,1),(26,1),(58,1)}
       18:{3,4,6,7}:{(10,1),(11,1),(24,1)}
       19:{3,4,5,6}:{(12,1),(29,1),(30,1),(31,1),(52,1)}
       20:{1,2,4,5,6,7}:{(13,1),(32,1),(49,1),(50,1),(54,1)}
       21:{1,2,3,4,6}:{(14,1),(33,1),(37,1),(55,1)}
       22:{2,3,5,6}:{(12,1),(16,1),(29,1),(34,1),(35,1),(52,1)}
       23:{1,3,5,6}:{(12,1),(17,1),(30,1),(34,1),(36,1),(52,1)}
       24:{3,5,7}:{(12,1),(13,1),(18,1)}
       25:{1,2,3,5,7}:{(14,1),(15,1),(33,1),(37,1)}
       26:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(37,1)}
       27:{2,3,4,6,7}:{(16,1),(18,1),(35,1),(38,1),(49,1),(61,1),(62,1)}
       28:{1,3,4,6,7}:{(17,1),(18,1),(36,1),(38,1),(50,1),(61,1),(62,1)}
       29:{2,4,5,6}:{(19,1),(22,1),(41,1)}
       30:{1,4,5,6}:{(19,1),(23,1),(42,1)}
       31:{3,4,5,7}:{(19,1),(24,1),(39,1),(41,1),(42,1),(59,1)}
       32:{3,5,6,7}:{(20,1),(24,1),(39,1)}
       33:{1,2,3,5}:{(21,1),(45,1)}
       34:{1,2,5,6}:{(22,1),(23,1),(26,1),(47,1)}
       35:{2,3,5,7}:{(22,1),(24,1),(27,1),(41,1),(47,1),(59,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(28,1),(42,1),(47,1),(59,1)}
       37:{1,2,3,6}:{(25,1),(26,1)}
       38:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(47,1),(48,1),(60,1)}
       39:{3,4,6,7}:{(31,1),(32,1),(49,1),(50,1),(61,1)}
       40:{1,2,4,5,6}:{(29,1),(30,1),(34,1),(52,1),(53,1),(55,1)}
       41:{2,4,5,7}:{(29,1),(31,1),(35,1),(49,1)}
       42:{1,4,5,7}:{(30,1),(31,1),(36,1),(50,1)}
       43:{2,3,5,6,7}:{(32,1),(35,1),(49,1),(54,1),(61,1)}
       44:{1,3,5,6,7}:{(32,1),(36,1),(50,1),(54,1),(61,1)}
       45:{1,2,4,5}:{(33,1),(51,1),(55,1)}
       46:{1,2,3,5,6}:{(33,1),(34,1),(37,1),(52,1),(55,1),(56,1)}
       47:{1,2,5,7}:{(34,1),(35,1),(36,1),(38,1)}
       48:{1,2,3,6,7}:{(37,1),(38,1),(56,1),(61,1)}
       49:{2,4,6,7}:{(39,1),(41,1),(43,1)}
       50:{1,4,6,7}:{(39,1),(42,1),(44,1)}
       51:{3,4,5}:{(45,1),(58,1)}
       52:{3,5,6}:{(40,1),(58,1),(59,1)}
       53:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(47,1),(57,1),(59,1),(60,1)}
       54:{1,2,5,6,7}:{(43,1),(44,1),(47,1),(57,1)}
       55:{1,2,4,6}:{(45,1),(46,1),(58,1),(60,1)}
       56:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(59,1),(60,1)}
       57:{1,2,4,6,7}:{(49,1),(50,1),(53,1),(54,1),(61,1)}
       58:{3,4,6}:{(51,1),(52,1),(55,1),(62,1)}
       59:{3,5,7}:{(52,1),(53,1),(61,1),(62,1)}
       60:{1,2,4,7}:{(55,1),(56,1),(62,1)}
       61:{3,6,7}:{(57,1),(59,1)}
       62:{3,4,7}:{(58,1),(59,1),(60,1)}

2205 :   0:{3,4,5,6,7}:{(1,1),(2,1),(19,1),(141,1)}
         1:{2,4,5,6,7}:{(0,1),(5,1),(146,1)}
         2:{1,4,5,6,7}:{(0,1),(6,1),(148,1)}
         3:{1,3,4,5,6}:{(9,1),(10,1),(37,1),(88,1),(122,1)}
         4:{1,2,3,4,6,7}:{(12,1),(14,1),(16,1),(48,1),(52,1),(56,1),(99,1),(103,1),(106,1)}
         5:{2,3,5,6,7}:{(1,1),(13,1),(17,1),(19,1),(136,1)}
         6:{1,3,5,6,7}:{(2,1),(15,1),(18,1),(19,1),(139,1)}
         7:{1,2,4,5,6,7}:{(1,1),(2,1),(17,1),(18,1),(19,1),(59,1),(61,1),(107,1)}
         8:{1,2,3,4,6}:{(14,1),(20,1),(52,1),(64,1)}
         9:{1,2,4,5,6}:{(3,1),(22,1),(23,1),(60,1),(64,1),(102,1)}
        10:{1,3,4,5,7}:{(3,1),(15,1),(23,1),(62,1),(111,1),(139,1)}
        11:{2,3,4,5,6}:{(25,1),(26,1),(37,1),(114,1),(118,1)}
        12:{1,2,3,4,7}:{(24,1),(27,1),(116,1)}
        13:{2,3,4,6,7}:{(5,1),(26,1),(29,1),(38,1)}
        14:{1,2,3,4,7}:{(8,1),(30,1),(90,1)}
        15:{1,3,4,6,7}:{(6,1),(10,1),(32,1),(38,1)}
        16:{1,2,3,5,7}:{(4,1),(33,1),(34,1),(120,1),(124,1),(127,1)}
        17:{1,2,5,6,7}:{(5,1),(29,1),(35,1),(120,1)}
        18:{1,2,5,6,7}:{(6,1),(32,1),(36,1),(124,1)}
        19:{3,5,6,7}:{(7,1),(38,1),(127,1)}
        20:{1,2,3,5}:{(8,1),(39,1)}
        21:{2,3,4,5}:{(39,1),(41,1)}
        22:{2,3,5,6}:{(9,1),(41,1),(42,1)}
        23:{1,2,4,5,7}:{(9,1),(10,1),(32,1),(42,1),(86,1),(90,1),(124,1)}
        24:{1,2,3,4,6}:{(12,1),(43,1),(48,1),(93,1)}
        25:{1,2,4,5,6}:{(11,1),(45,1),(46,1),(58,1),(93,1),(98,1)}
        26:{2,3,4,5,7}:{(11,1),(13,1),(46,1),(62,1),(132,1),(136,1)}
        27:{1,2,3,5,7}:{(12,1),(43,1),(47,1),(48,1)}
        28:{1,3,4,5,7}:{(44,1),(47,1),(49,1),(55,1),(96,1),(100,1)}
        29:{1,2,4,6,7}:{(13,1),(17,1),(46,1),(50,1),(59,1)}
        30:{1,2,3,5,7}:{(14,1),(20,1),(51,1),(52,1)}
        31:{2,3,4,5,7}:{(21,1),(51,1),(53,1),(55,1),(67,1),(104,1)}
        32:{1,2,4,6,7}:{(15,1),(18,1),(23,1),(54,1),(61,1)}
        33:{1,2,4,5,7}:{(16,1),(55,1),(56,1)}
        34:{1,2,3,5,6}:{(16,1),(48,1),(52,1),(56,1),(98,1),(102,1),(105,1)}
        35:{1,3,5,6,7}:{(17,1),(19,1),(50,1),(59,1),(100,1)}
        36:{2,3,5,6,7}:{(18,1),(19,1),(54,1),(61,1),(104,1)}
        37:{3,4,5,6}:{(58,1),(60,1),(62,1),(105,1)}
        38:{3,4,6,7}:{(19,1),(59,1),(61,1),(62,1)}
        39:{1,2,4,5}:{(20,1),(21,1),(63,1),(64,1)}
        40:{1,2,3,5,6}:{(20,1),(22,1),(52,1),(64,1),(65,1),(102,1),(110,1)}
        41:{2,3,4,6}:{(21,1),(22,1),(64,1),(67,1)}
        42:{2,3,5,7}:{(22,1),(23,1),(54,1),(67,1)}
        43:{1,2,3,5}:{(24,1),(68,1)}
        44:{1,3,4,5}:{(68,1),(70,1)}
        45:{1,3,5,6}:{(25,1),(70,1),(71,1)}
        46:{1,2,4,5,7}:{(25,1),(26,1),(29,1),(71,1),(85,1),(116,1),(120,1)}
        47:{1,2,4,5,7}:{(27,1),(28,1),(68,1),(72,1),(73,1),(116,1),(120,1)}
        48:{1,2,3,6}:{(27,1),(73,1)}
        49:{1,3,4,6}:{(28,1),(73,1),(75,1),(82,1)}
        50:{1,3,6,7}:{(29,1),(71,1)}
        51:{1,2,4,5,7}:{(30,1),(31,1),(39,1),(77,1),(78,1),(90,1),(124,1)}
        52:{1,2,3,6}:{(30,1),(78,1)}
        53:{2,3,4,6}:{(31,1),(78,1),(80,1),(82,1)}
        54:{2,3,6,7}:{(32,1),(42,1)}
        55:{3,4,5,7}:{(33,1),(82,1),(127,1)}
        56:{1,2,4,6}:{(33,1),(34,1),(82,1)}
        57:{1,2,3,5,6,7}:{(34,1),(35,1),(36,1),(74,1),(79,1),(84,1),(120,1),(124,1),(127,1),(147,1),(149,1)}
        58:{1,4,5,6}:{(37,1),(75,1),(85,1)}
        59:{1,4,6,7}:{(35,1),(38,1),(85,1)}
        60:{2,4,5,6}:{(37,1),(80,1),(86,1)}
        61:{2,4,6,7}:{(36,1),(38,1),(86,1)}
        62:{3,4,5,7}:{(37,1),(38,1),(85,1),(86,1),(127,1)}
        63:{1,3,4,5}:{(39,1),(88,1)}
        64:{1,2,4,6}:{(39,1),(40,1),(41,1),(88,1),(90,1)}
        65:{1,2,3,5,7}:{(40,1),(42,1),(79,1),(90,1),(124,1),(129,1)}
        66:{2,3,4,5,6}:{(41,1),(80,1),(89,1),(91,1),(126,1)}
        67:{2,3,4,7}:{(41,1),(42,1),(90,1)}
        68:{1,2,4,5}:{(43,1),(44,1),(92,1),(93,1)}
        69:{1,2,3,5,6}:{(43,1),(45,1),(48,1),(93,1),(94,1),(98,1),(131,1)}
        70:{1,3,4,6}:{(44,1),(45,1),(93,1),(96,1)}
        71:{1,3,5,7}:{(45,1),(46,1),(50,1),(96,1)}
        72:{2,3,4,5,7}:{(47,1),(55,1),(92,1),(97,1),(132,1),(136,1)}
        73:{1,2,4,6}:{(47,1),(48,1),(49,1),(97,1),(98,1)}
        74:{1,2,3,6,7}:{(48,1),(50,1),(94,1),(99,1),(151,1)}
        75:{1,3,5,6}:{(49,1),(58,1),(98,1),(100,1),(105,1)}
        76:{1,3,4,6,7}:{(49,1),(50,1),(59,1),(96,1),(99,1),(100,1),(106,1)}
        77:{1,3,4,5,7}:{(51,1),(55,1),(63,1),(101,1),(111,1),(139,1)}
        78:{1,2,4,6}:{(51,1),(52,1),(53,1),(101,1),(102,1)}
        79:{1,2,3,6,7}:{(52,1),(54,1),(65,1),(103,1),(143,1)}
        80:{2,3,5,6}:{(53,1),(60,1),(102,1),(104,1),(105,1)}
        81:{2,3,4,6,7}:{(53,1),(54,1),(61,1),(67,1),(103,1),(104,1),(106,1)}
        82:{3,4,6}:{(55,1),(56,1),(105,1)}
        83:{1,2,4,5,6}:{(56,1),(58,1),(60,1),(98,1),(102,1),(105,1),(107,1),(135,1),(138,1)}
        84:{1,2,4,6,7}:{(56,1),(57,1),(59,1),(61,1),(106,1),(107,1),(152,1),(153,1)}
        85:{1,4,5,7}:{(58,1),(59,1),(62,1),(100,1)}
        86:{2,4,5,7}:{(60,1),(61,1),(62,1),(104,1)}
        87:{3,4,5,6,7}:{(62,1),(108,1),(109,1),(142,1)}
        88:{1,3,4,6}:{(63,1),(64,1),(110,1),(111,1)}
        89:{1,2,4,5,6}:{(64,1),(66,1),(102,1),(110,1),(112,1),(138,1)}
        90:{1,2,4,7}:{(64,1),(65,1),(67,1),(111,1)}
        91:{2,3,4,5,7}:{(66,1),(67,1),(104,1),(112,1),(113,1),(141,1)}
        92:{2,3,4,5}:{(68,1),(114,1)}
        93:{1,2,4,6}:{(68,1),(69,1),(70,1),(114,1),(116,1)}
        94:{1,2,3,5,7}:{(69,1),(71,1),(74,1),(116,1),(120,1),(144,1)}
        95:{1,3,4,5,6}:{(70,1),(75,1),(115,1),(117,1),(126,1)}
        96:{1,3,4,7}:{(70,1),(71,1),(116,1)}
        97:{2,3,4,6}:{(72,1),(73,1),(82,1),(118,1)}
        98:{1,2,5,6}:{(73,1),(75,1),(118,1),(120,1)}
        99:{1,2,4,6,7}:{(73,1),(74,1),(76,1),(116,1),(119,1),(120,1)}
       100:{1,3,5,7}:{(75,1),(76,1),(85,1),(120,1),(127,1)}
       101:{1,3,4,6}:{(77,1),(78,1),(82,1),(122,1)}
       102:{1,2,5,6}:{(78,1),(80,1),(122,1),(124,1)}
       103:{1,2,4,6,7}:{(78,1),(79,1),(81,1),(90,1),(123,1),(124,1)}
       104:{2,3,5,7}:{(80,1),(81,1),(86,1),(124,1),(127,1)}
       105:{3,5,6}:{(82,1),(83,1),(127,1)}
       106:{3,4,6,7}:{(82,1),(84,1),(127,1)}
       107:{1,2,4,5,7}:{(83,1),(84,1),(85,1),(86,1),(120,1),(124,1),(127,1),(146,1),(148,1)}
       108:{1,4,5,6,7}:{(85,1),(87,1),(121,1)}
       109:{2,4,5,6,7}:{(86,1),(87,1),(125,1)}
       110:{1,3,5,6}:{(88,1),(89,1),(129,1)}
       111:{1,3,4,7}:{(88,1),(90,1),(129,1)}
       112:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(124,1),(129,1),(130,1),(148,1)}
       113:{2,3,4,6,7}:{(91,1),(125,1),(130,1),(150,1)}
       114:{2,3,4,6}:{(92,1),(93,1),(131,1),(132,1)}
       115:{1,2,4,5,6}:{(93,1),(95,1),(98,1),(131,1),(133,1),(135,1)}
       116:{1,2,4,7}:{(93,1),(94,1),(96,1),(132,1)}
       117:{1,3,4,5,7}:{(95,1),(96,1),(100,1),(133,1),(134,1),(141,1)}
       118:{2,3,5,6}:{(97,1),(98,1),(105,1),(135,1),(136,1)}
       119:{2,3,4,6,7}:{(97,1),(99,1),(106,1),(132,1),(136,1),(151,1),(152,1)}
       120:{1,2,5,7}:{(98,1),(99,1),(100,1),(136,1)}
       121:{1,3,5,6,7}:{(100,1),(108,1),(134,1),(137,1),(142,1)}
       122:{1,3,5,6}:{(101,1),(102,1),(105,1),(138,1),(139,1)}
       123:{1,3,4,6,7}:{(101,1),(103,1),(106,1),(111,1),(139,1),(143,1),(153,1)}
       124:{1,2,5,7}:{(102,1),(103,1),(104,1),(139,1)}
       125:{2,3,5,6,7}:{(104,1),(109,1),(113,1),(140,1),(142,1)}
       126:{3,4,5,6}:{(105,1),(135,1),(138,1),(141,1)}
       127:{3,5,7}:{(105,1),(106,1),(107,1)}
       128:{1,2,4,5,6,7}:{(107,1),(108,1),(109,1),(137,1),(140,1),(142,1),(152,1),(153,1)}
       129:{1,3,5,7}:{(110,1),(111,1),(112,1),(143,1)}
       130:{1,2,4,6,7}:{(112,1),(113,1),(140,1),(143,1),(153,1)}
       131:{2,3,5,6}:{(114,1),(115,1),(144,1)}
       132:{2,3,4,7}:{(114,1),(116,1),(144,1)}
       133:{1,2,4,5,7}:{(115,1),(116,1),(117,1),(120,1),(144,1),(145,1),(146,1)}
       134:{1,3,4,6,7}:{(117,1),(121,1),(145,1),(150,1)}
       135:{2,4,5,6}:{(118,1),(126,1),(146,1)}
       136:{2,3,5,7}:{(118,1),(119,1),(120,1),(127,1),(146,1)}
       137:{1,2,5,6,7}:{(120,1),(121,1),(145,1),(147,1)}
       138:{1,4,5,6}:{(122,1),(126,1),(148,1)}
       139:{1,3,5,7}:{(122,1),(123,1),(124,1),(127,1),(148,1)}
       140:{1,2,5,6,7}:{(124,1),(125,1),(130,1),(149,1)}
       141:{3,4,5,7}:{(126,1),(127,1),(146,1),(148,1),(150,1)}
       142:{3,5,6,7}:{(127,1),(128,1),(150,1)}
       143:{1,3,6,7}:{(129,1),(130,1)}
       144:{2,3,5,7}:{(131,1),(132,1),(133,1),(151,1)}
       145:{1,2,4,6,7}:{(133,1),(134,1),(137,1),(151,1),(152,1)}
       146:{2,4,5,7}:{(135,1),(136,1),(141,1),(152,1)}
       147:{2,3,5,6,7}:{(136,1),(137,1),(142,1),(151,1),(152,1)}
       148:{1,4,5,7}:{(138,1),(139,1),(141,1),(153,1)}
       149:{1,3,5,6,7}:{(139,1),(140,1),(142,1),(143,1),(153,1)}
       150:{3,4,6,7}:{(141,1),(142,1),(152,1),(153,1)}
       151:{2,3,6,7}:{(144,1),(145,1)}
       152:{2,4,6,7}:{(146,1),(147,1),(150,1)}
       153:{1,4,6,7}:{(148,1),(149,1),(150,1)}

2206 :  0:{1,2,3,4,7}:{(1,1),(2,1),(36,1),(41,1)}
        1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(7,1),(21,1),(24,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        3:{2,3,4,5,7}:{(6,1),(8,1),(23,1),(32,1),(55,1)}
        4:{1,2,3,4}:{(9,1)}
        5:{1,2,3,5}:{(1,1),(11,1)}
        6:{1,2,4,5,7}:{(2,1),(3,1),(11,1),(14,1),(15,1),(41,1),(47,1)}
        7:{1,2,3,6}:{(2,1),(15,1)}
        8:{2,3,4,6}:{(3,1),(15,1),(17,1),(39,1)}
        9:{1,2,3,5}:{(4,1),(20,1),(21,1)}
       10:{1,3,4,5}:{(20,1),(22,1),(23,1)}
       11:{1,2,4,5}:{(5,1),(23,1),(24,1)}
       12:{1,2,3,5,6}:{(5,1),(7,1),(21,1),(24,1),(25,1),(30,1),(51,1),(54,1)}
       13:{3,4,5,6}:{(26,1),(27,1),(28,1),(54,1)}
       14:{1,3,4,5,7}:{(6,1),(23,1),(29,1),(55,1),(60,1)}
       15:{1,2,4,6}:{(6,1),(7,1),(8,1),(29,1),(30,1)}
       16:{1,2,3,6,7}:{(7,1),(25,1),(31,1),(73,1),(75,1)}
       17:{2,3,5,6}:{(8,1),(27,1),(30,1),(32,1),(54,1)}
       18:{2,3,4,6,7}:{(8,1),(31,1),(32,1),(55,1),(58,1),(75,1)}
       19:{2,4,5,6,7}:{(33,1),(58,1)}
       20:{1,2,4,5}:{(9,1),(10,1),(34,1),(35,1)}
       21:{1,2,3,6}:{(9,1),(35,1),(36,1)}
       22:{1,3,4,6}:{(10,1),(35,1),(37,1),(38,1),(39,1)}
       23:{3,4,5}:{(11,1),(39,1)}
       24:{1,2,4,6}:{(11,1),(12,1),(39,1),(41,1)}
       25:{1,2,3,5,7}:{(12,1),(16,1),(36,1),(41,1),(47,1),(64,1),(67,1)}
       26:{1,4,5,6}:{(13,1),(37,1),(42,1)}
       27:{2,4,5,6}:{(13,1),(17,1),(43,1)}
       28:{3,4,5,7}:{(13,1),(42,1),(43,1),(44,1),(67,1)}
       29:{1,3,4,6}:{(14,1),(15,1),(39,1),(45,1)}
       30:{1,2,5,6}:{(15,1),(17,1),(45,1),(47,1)}
       31:{1,2,4,6,7}:{(15,1),(16,1),(18,1),(41,1),(46,1),(47,1)}
       32:{2,3,5,7}:{(17,1),(18,1),(43,1),(47,1),(67,1)}
       33:{3,5,6,7}:{(19,1),(44,1),(48,1)}
       34:{2,3,4,5}:{(20,1),(23,1),(50,1)}
       35:{1,2,4,6}:{(20,1),(21,1),(22,1),(50,1),(51,1),(52,1)}
       36:{1,2,3,7}:{(21,1),(52,1)}
       37:{1,3,5,6}:{(22,1),(26,1),(51,1),(53,1),(54,1)}
       38:{1,3,4,7}:{(22,1),(52,1),(53,1),(55,1)}
       39:{3,4,6}:{(23,1),(24,1),(54,1),(55,1)}
       40:{1,2,4,5,6}:{(24,1),(26,1),(27,1),(30,1),(51,1),(54,1),(56,1),(59,1),(71,1)}
       41:{1,2,4,7}:{(24,1),(25,1),(55,1)}
       42:{1,4,5,7}:{(26,1),(28,1),(53,1),(57,1)}
       43:{2,4,5,7}:{(27,1),(28,1),(32,1),(58,1)}
       44:{3,4,6,7}:{(28,1),(33,1),(57,1),(58,1),(75,1)}
       45:{1,3,5,6}:{(29,1),(30,1),(54,1),(59,1),(60,1)}
       46:{1,3,4,6,7}:{(29,1),(31,1),(55,1),(60,1),(75,1),(76,1)}
       47:{1,2,5,7}:{(30,1),(31,1),(32,1),(60,1)}
       48:{1,5,6,7}:{(33,1),(57,1)}
       49:{2,3,5,6,7}:{(32,1),(33,1),(58,1),(61,1),(75,1)}
       50:{2,3,4,6}:{(34,1),(35,1),(39,1),(62,1),(63,1)}
       51:{1,2,5,6}:{(35,1),(37,1),(62,1),(64,1)}
       52:{1,2,4,7}:{(35,1),(36,1),(38,1),(63,1),(64,1)}
       53:{1,3,5,7}:{(37,1),(38,1),(42,1),(64,1),(65,1),(67,1)}
       54:{3,5,6}:{(39,1),(40,1),(67,1)}
       55:{3,4,7}:{(39,1),(41,1),(67,1)}
       56:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(43,1),(47,1),(64,1),(67,1),(68,1),(69,1),(77,1)}
       57:{1,4,6,7}:{(42,1),(44,1),(48,1),(65,1)}
       58:{2,4,6,7}:{(43,1),(44,1),(49,1)}
       59:{1,4,5,6}:{(45,1),(66,1),(69,1)}
       60:{1,3,5,7}:{(45,1),(46,1),(47,1),(67,1),(69,1)}
       61:{1,2,5,6,7}:{(47,1),(48,1),(49,1),(68,1),(70,1),(83,1)}
       62:{2,3,5,6}:{(50,1),(51,1),(54,1),(71,1),(72,1)}
       63:{2,3,4,7}:{(50,1),(52,1),(55,1),(72,1)}
       64:{1,2,5,7}:{(51,1),(52,1),(53,1),(72,1),(73,1)}
       65:{1,3,6,7}:{(53,1),(57,1),(73,1),(75,1)}
       66:{3,4,5,6}:{(54,1),(59,1),(71,1),(74,1)}
       67:{3,5,7}:{(54,1),(55,1),(56,1),(75,1)}
       68:{1,2,4,6,7}:{(56,1),(57,1),(58,1),(61,1),(73,1),(75,1),(76,1),(81,1)}
       69:{1,4,5,7}:{(59,1),(60,1),(74,1),(76,1)}
       70:{1,3,5,6,7}:{(60,1),(61,1),(75,1),(76,1),(82,1)}
       71:{2,4,5,6}:{(62,1),(66,1),(77,1)}
       72:{2,3,5,7}:{(62,1),(63,1),(64,1),(67,1),(77,1),(78,1)}
       73:{1,2,6,7}:{(64,1),(65,1),(78,1)}
       74:{3,4,5,7}:{(66,1),(67,1),(69,1),(77,1),(79,1)}
       75:{3,6,7}:{(67,1),(68,1)}
       76:{1,4,6,7}:{(69,1),(70,1),(79,1)}
       77:{2,4,5,7}:{(71,1),(72,1),(74,1),(81,1)}
       78:{2,3,6,7}:{(72,1),(73,1),(75,1),(81,1)}
       79:{3,4,6,7}:{(74,1),(75,1),(76,1),(81,1),(82,1)}
       80:{1,4,5,6,7}:{(76,1),(82,1)}
       81:{2,4,6,7}:{(77,1),(78,1),(79,1),(83,1)}
       82:{3,5,6,7}:{(79,1),(80,1),(83,1)}
       83:{2,5,6,7}:{(81,1),(82,1)}

2207 :   0:{1,2,3,6,7}:{(3,1),(4,1),(40,1),(52,1),(85,1),(86,1),(87,1),(104,1)}
         1:{2,3,4,6,7}:{(4,1),(5,1),(15,1),(19,1),(41,1),(52,1),(55,1),(86,1),(99,1),(104,1)}
         2:{1,3,4,6,7}:{(4,1),(6,1),(15,1),(22,1),(42,1),(52,1),(57,1),(87,1),(100,1),(104,1)}
         3:{1,2,3,5,7}:{(0,1),(7,1),(8,1),(9,1),(28,1),(31,1),(58,1),(69,1),(94,1),(95,1)}
         4:{1,2,4,6,7}:{(0,1),(1,1),(2,1),(8,1),(9,1),(32,1),(60,1),(73,1),(74,1),(96,1),(103,1)}
         5:{2,3,5,7}:{(1,1),(9,1),(10,1),(11,1),(31,1),(61,1),(66,1)}
         6:{1,3,5,7}:{(2,1),(9,1),(12,1),(13,1),(31,1),(62,1),(68,1)}
         7:{1,2,3,5,6}:{(3,1),(14,1),(17,1),(40,1),(43,1),(52,1),(79,1),(80,1),(81,1),(85,1)}
         8:{1,2,4,7}:{(3,1),(14,1),(15,1),(75,1),(99,1),(100,1)}
         9:{1,2,5,7}:{(4,1),(5,1),(6,1),(17,1),(79,1),(83,1),(84,1)}
        10:{2,4,5,7}:{(5,1),(18,1),(19,1),(76,1),(99,1)}
        11:{2,3,5,6}:{(5,1),(17,1),(19,1),(45,1),(52,1)}
        12:{1,4,5,7}:{(6,1),(21,1),(22,1),(77,1),(100,1)}
        13:{1,3,5,6}:{(6,1),(17,1),(22,1),(47,1),(52,1)}
        14:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(90,1),(91,1)}
        15:{3,4,7}:{(8,1),(24,1),(31,1),(88,1)}
        16:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(12,1),(25,1),(31,1),(32,1),(34,1),(37,1),(69,1),(89,1),(103,1)}
        17:{1,2,5,6}:{(9,1),(11,1),(13,1),(32,1),(65,1),(67,1)}
        18:{3,4,5,7}:{(10,1),(31,1),(34,1),(35,1),(59,1),(66,1),(92,1)}
        19:{2,4,6}:{(10,1),(11,1),(35,1)}
        20:{2,3,5,6,7}:{(11,1),(33,1),(36,1),(66,1),(72,1),(94,1)}
        21:{3,4,5,7}:{(12,1),(31,1),(37,1),(38,1),(59,1),(68,1),(92,1)}
        22:{1,4,6}:{(12,1),(13,1),(38,1)}
        23:{1,3,5,6,7}:{(13,1),(33,1),(39,1),(68,1),(72,1),(95,1)}
        24:{3,4,6}:{(14,1),(15,1),(43,1),(52,1)}
        25:{1,2,4,5}:{(14,1),(43,1),(76,1),(77,1),(79,1)}
        26:{2,4,5,6}:{(19,1),(45,1),(46,1)}
        27:{1,4,5,6}:{(22,1),(47,1),(48,1)}
        28:{1,2,3,7}:{(40,1),(49,1),(104,1)}
        29:{2,3,4,7}:{(15,1),(41,1),(49,1),(50,1),(99,1),(104,1)}
        30:{1,3,4,7}:{(15,1),(42,1),(49,1),(51,1),(100,1),(104,1)}
        31:{3,5,7}:{(15,1),(16,1),(43,1),(52,1),(97,1),(104,1)}
        32:{1,2,4,6}:{(16,1),(17,1),(19,1),(22,1),(52,1),(54,1),(56,1),(85,1)}
        33:{1,2,5,6,7}:{(17,1),(20,1),(23,1),(53,1),(83,1),(84,1),(101,1)}
        34:{1,4,5,7}:{(18,1),(51,1),(54,1),(77,1),(83,1),(100,1)}
        35:{3,4,6}:{(18,1),(19,1),(45,1),(52,1),(54,1)}
        36:{2,4,6,7}:{(19,1),(20,1),(46,1),(55,1),(99,1)}
        37:{2,4,5,7}:{(21,1),(50,1),(56,1),(76,1),(84,1),(99,1)}
        38:{3,4,6}:{(21,1),(22,1),(47,1),(52,1),(56,1)}
        39:{1,4,6,7}:{(22,1),(23,1),(48,1),(57,1),(100,1)}
        40:{1,2,3,6}:{(28,1),(58,1),(60,1),(102,1)}
        41:{2,3,4,6}:{(24,1),(29,1),(60,1),(61,1),(70,1),(88,1),(90,1),(102,1)}
        42:{1,3,4,6}:{(24,1),(30,1),(60,1),(62,1),(71,1),(88,1),(91,1),(102,1)}
        43:{3,5}:{(24,1),(25,1)}
        44:{1,2,4,5,6}:{(25,1),(26,1),(27,1),(32,1),(63,1),(64,1),(65,1),(67,1),(90,1),(91,1),(93,1)}
        45:{3,5,6}:{(26,1),(35,1),(65,1),(66,1)}
        46:{2,4,5,7}:{(26,1),(36,1),(66,1)}
        47:{3,5,6}:{(27,1),(38,1),(67,1),(68,1)}
        48:{1,4,5,7}:{(27,1),(39,1),(68,1)}
        49:{1,2,4,7}:{(28,1),(29,1),(30,1),(60,1),(69,1)}
        50:{2,3,5,7}:{(29,1),(31,1),(37,1),(61,1),(69,1),(70,1)}
        51:{1,3,5,7}:{(30,1),(31,1),(34,1),(62,1),(69,1),(71,1)}
        52:{3,6}:{(31,1),(32,1)}
        53:{1,2,4,6,7}:{(32,1),(33,1),(36,1),(39,1),(64,1),(72,1),(73,1),(74,1),(96,1),(103,1)}
        54:{1,4,6}:{(34,1),(35,1),(65,1),(71,1)}
        55:{3,4,6,7}:{(35,1),(36,1),(66,1),(72,1),(73,1),(92,1)}
        56:{2,4,6}:{(37,1),(38,1),(67,1),(70,1)}
        57:{3,4,6,7}:{(38,1),(39,1),(68,1),(72,1),(74,1),(92,1)}
        58:{1,2,3,5}:{(40,1),(75,1),(79,1),(97,1)}
        59:{3,4,5}:{(43,1),(76,1),(77,1),(78,1),(97,1)}
        60:{1,2,4,6}:{(40,1),(41,1),(42,1),(49,1),(75,1),(79,1),(85,1)}
        61:{2,3,5}:{(41,1),(43,1),(76,1),(79,1),(97,1)}
        62:{1,3,5}:{(42,1),(43,1),(77,1),(79,1),(97,1)}
        63:{3,5,6}:{(43,1),(44,1),(52,1),(78,1),(82,1)}
        64:{1,2,4,5,7}:{(44,1),(46,1),(48,1),(53,1),(82,1),(83,1),(84,1),(99,1),(100,1),(101,1)}
        65:{1,5,6}:{(45,1),(54,1),(83,1)}
        66:{3,5,7}:{(45,1),(46,1),(55,1),(83,1)}
        67:{2,5,6}:{(47,1),(56,1),(84,1)}
        68:{3,5,7}:{(47,1),(48,1),(57,1),(84,1)}
        69:{1,2,5,7}:{(49,1),(50,1),(51,1),(79,1),(85,1)}
        70:{2,3,6}:{(50,1),(52,1),(56,1),(85,1)}
        71:{1,3,6}:{(51,1),(52,1),(54,1),(85,1)}
        72:{3,6,7}:{(52,1),(53,1),(82,1),(104,1)}
        73:{1,4,6,7}:{(54,1),(55,1),(83,1),(87,1),(100,1)}
        74:{2,4,6,7}:{(56,1),(57,1),(84,1),(86,1),(99,1)}
        75:{1,2,4}:{(58,1),(88,1)}
        76:{2,4,5}:{(59,1),(61,1),(90,1)}
        77:{1,4,5}:{(59,1),(62,1),(91,1)}
        78:{3,4,6}:{(59,1),(63,1),(90,1),(91,1),(92,1),(102,1)}
        79:{1,2,5}:{(60,1),(61,1),(62,1)}
        80:{2,3,5,6}:{(61,1),(63,1),(67,1),(70,1),(90,1),(93,1),(94,1),(102,1)}
        81:{1,3,5,6}:{(62,1),(63,1),(65,1),(71,1),(91,1),(93,1),(95,1),(102,1)}
        82:{3,5,7}:{(63,1),(64,1),(72,1),(92,1)}
        83:{1,5,7}:{(65,1),(66,1),(73,1)}
        84:{2,5,7}:{(67,1),(68,1),(74,1)}
        85:{1,2,6}:{(69,1),(70,1),(71,1)}
        86:{2,3,6,7}:{(70,1),(72,1),(74,1),(94,1),(96,1)}
        87:{1,3,6,7}:{(71,1),(72,1),(73,1),(95,1),(96,1)}
        88:{3,4}:{(75,1),(97,1)}
        89:{1,2,4,5}:{(75,1),(76,1),(77,1),(79,1),(97,1),(98,1)}
        90:{2,4,6}:{(76,1),(78,1),(80,1),(99,1)}
        91:{1,4,6}:{(77,1),(78,1),(81,1),(100,1)}
        92:{3,4,7}:{(78,1),(82,1),(99,1),(100,1),(104,1)}
        93:{1,2,5,6}:{(79,1),(80,1),(81,1),(85,1),(98,1),(101,1)}
        94:{2,3,5,7}:{(80,1),(82,1),(84,1),(86,1),(99,1),(101,1),(104,1)}
        95:{1,3,5,7}:{(81,1),(82,1),(83,1),(87,1),(100,1),(101,1),(104,1)}
        96:{1,2,6,7}:{(85,1),(86,1),(87,1),(101,1)}
        97:{3,5}:{(88,1),(89,1),(102,1)}
        98:{1,2,4,6}:{(89,1),(90,1),(91,1),(93,1),(102,1),(103,1)}
        99:{2,4,7}:{(90,1),(92,1),(94,1)}
       100:{1,4,7}:{(91,1),(92,1),(95,1)}
       101:{1,2,5,7}:{(93,1),(94,1),(95,1),(96,1),(103,1)}
       102:{3,6}:{(97,1),(98,1),(104,1)}
       103:{1,2,4,7}:{(98,1),(99,1),(100,1),(101,1),(104,1)}
       104:{3,7}:{(102,1),(103,1)}

2208 :   0:{3,4,5,6,7}:{(1,1),(2,1),(16,1),(94,1)}
         1:{1,4,5,6,7}:{(0,1),(5,1),(100,1)}
         2:{2,4,5,6,7}:{(0,1),(6,1),(98,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(53,1),(56,1),(99,1)}
         4:{1,3,4,5,6}:{(10,1),(11,1),(53,1),(60,1),(101,1)}
         5:{1,3,5,6,7}:{(1,1),(13,1),(14,1),(16,1),(92,1)}
         6:{2,3,5,6,7}:{(2,1),(12,1),(15,1),(16,1),(90,1)}
         7:{1,2,4,5,6,7}:{(1,1),(2,1),(14,1),(15,1),(16,1),(35,1),(36,1),(67,1)}
         8:{2,3,4,5,7}:{(3,1),(12,1),(17,1),(37,1),(70,1),(90,1)}
         9:{1,2,4,5,6}:{(3,1),(17,1),(18,1),(40,1),(69,1),(91,1)}
        10:{1,3,4,5,7}:{(4,1),(13,1),(19,1),(37,1),(74,1),(92,1)}
        11:{1,2,4,5,6}:{(4,1),(19,1),(20,1),(44,1),(68,1),(93,1)}
        12:{2,3,4,6,7}:{(6,1),(8,1),(21,1),(25,1)}
        13:{1,3,4,6,7}:{(5,1),(10,1),(22,1),(25,1)}
        14:{1,2,5,6,7}:{(5,1),(22,1),(23,1),(82,1)}
        15:{1,2,5,6,7}:{(6,1),(21,1),(24,1),(79,1)}
        16:{3,5,6,7}:{(7,1),(25,1),(84,1)}
        17:{1,2,4,5,7}:{(8,1),(9,1),(21,1),(26,1),(52,1),(54,1),(79,1)}
        18:{1,3,5,6}:{(9,1),(26,1),(28,1)}
        19:{1,2,4,5,7}:{(10,1),(11,1),(22,1),(29,1),(51,1),(58,1),(82,1)}
        20:{2,3,5,6}:{(11,1),(29,1),(31,1)}
        21:{1,2,4,6,7}:{(12,1),(15,1),(17,1),(32,1),(36,1)}
        22:{1,2,4,6,7}:{(13,1),(14,1),(19,1),(33,1),(35,1)}
        23:{2,3,5,6,7}:{(14,1),(16,1),(33,1),(35,1),(65,1)}
        24:{1,3,5,6,7}:{(15,1),(16,1),(32,1),(36,1),(63,1)}
        25:{3,4,6,7}:{(16,1),(35,1),(36,1),(37,1)}
        26:{1,3,5,7}:{(17,1),(18,1),(32,1),(39,1)}
        27:{1,2,3,5,6}:{(18,1),(38,1),(40,1),(73,1),(91,1),(96,1)}
        28:{1,3,4,6}:{(18,1),(39,1),(40,1),(41,1)}
        29:{2,3,5,7}:{(19,1),(20,1),(33,1),(43,1)}
        30:{1,2,3,5,6}:{(20,1),(42,1),(44,1),(77,1),(93,1),(97,1)}
        31:{2,3,4,6}:{(20,1),(43,1),(44,1),(45,1)}
        32:{1,3,6,7}:{(21,1),(26,1)}
        33:{2,3,6,7}:{(22,1),(29,1)}
        34:{1,2,3,5,6,7}:{(23,1),(24,1),(46,1),(48,1),(50,1),(79,1),(82,1),(84,1),(99,1),(101,1)}
        35:{2,4,6,7}:{(23,1),(25,1),(51,1)}
        36:{1,4,6,7}:{(24,1),(25,1),(52,1)}
        37:{3,4,5,7}:{(25,1),(51,1),(52,1),(53,1),(84,1)}
        38:{1,2,3,5,7}:{(26,1),(27,1),(46,1),(54,1),(79,1),(86,1)}
        39:{1,3,4,7}:{(26,1),(28,1),(54,1)}
        40:{1,2,4,6}:{(27,1),(28,1),(54,1),(56,1),(57,1)}
        41:{1,3,4,5}:{(28,1),(57,1)}
        42:{1,2,3,5,7}:{(29,1),(30,1),(48,1),(58,1),(82,1),(88,1)}
        43:{2,3,4,7}:{(29,1),(31,1),(58,1)}
        44:{1,2,4,6}:{(30,1),(31,1),(58,1),(60,1),(61,1)}
        45:{2,3,4,5}:{(31,1),(61,1)}
        46:{1,2,3,6,7}:{(32,1),(38,1),(62,1),(96,1)}
        47:{1,3,4,6,7}:{(32,1),(36,1),(39,1),(62,1),(63,1),(66,1),(72,1)}
        48:{1,2,3,6,7}:{(33,1),(42,1),(64,1),(97,1)}
        49:{2,3,4,6,7}:{(33,1),(35,1),(43,1),(64,1),(65,1),(66,1),(76,1)}
        50:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(66,1),(67,1),(103,1),(104,1)}
        51:{2,4,5,7}:{(35,1),(37,1),(65,1),(68,1)}
        52:{1,4,5,7}:{(36,1),(37,1),(63,1),(69,1)}
        53:{3,4,5,6}:{(37,1),(68,1),(69,1),(95,1)}
        54:{1,2,4,7}:{(38,1),(39,1),(40,1),(70,1)}
        55:{1,3,4,5,7}:{(39,1),(41,1),(63,1),(71,1),(72,1),(94,1)}
        56:{2,3,4,6}:{(40,1),(70,1),(73,1),(96,1)}
        57:{1,2,4,5}:{(40,1),(41,1),(73,1)}
        58:{1,2,4,7}:{(42,1),(43,1),(44,1),(74,1)}
        59:{2,3,4,5,7}:{(43,1),(45,1),(65,1),(75,1),(76,1),(94,1)}
        60:{1,3,4,6}:{(44,1),(74,1),(77,1),(97,1)}
        61:{1,2,4,5}:{(44,1),(45,1),(77,1)}
        62:{1,2,4,6,7}:{(46,1),(47,1),(54,1),(78,1),(79,1),(87,1)}
        63:{1,3,5,7}:{(47,1),(52,1),(79,1),(80,1),(84,1)}
        64:{1,2,4,6,7}:{(48,1),(49,1),(58,1),(81,1),(82,1),(89,1)}
        65:{2,3,5,7}:{(49,1),(51,1),(82,1),(83,1),(84,1)}
        66:{3,4,6,7}:{(50,1),(84,1),(102,1)}
        67:{1,2,4,5,7}:{(50,1),(51,1),(52,1),(79,1),(82,1),(84,1),(85,1),(98,1),(100,1)}
        68:{2,4,5,6}:{(51,1),(53,1),(83,1)}
        69:{1,4,5,6}:{(52,1),(53,1),(80,1)}
        70:{2,3,4,7}:{(54,1),(56,1),(86,1)}
        71:{1,2,4,5,7}:{(54,1),(55,1),(57,1),(79,1),(86,1),(87,1),(98,1)}
        72:{1,3,4,6}:{(55,1),(80,1),(87,1),(102,1)}
        73:{2,3,5}:{(56,1),(57,1)}
        74:{1,3,4,7}:{(58,1),(60,1),(88,1)}
        75:{1,2,4,5,7}:{(58,1),(59,1),(61,1),(82,1),(88,1),(89,1),(100,1)}
        76:{2,3,4,6}:{(59,1),(83,1),(89,1),(102,1)}
        77:{1,3,5}:{(60,1),(61,1)}
        78:{2,3,4,6,7}:{(62,1),(66,1),(70,1),(90,1),(96,1),(103,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(90,1),(91,1)}
        80:{1,3,5,6}:{(63,1),(69,1),(72,1),(91,1),(95,1)}
        81:{1,3,4,6,7}:{(64,1),(66,1),(74,1),(92,1),(97,1),(104,1)}
        82:{1,2,5,7}:{(64,1),(65,1),(92,1),(93,1)}
        83:{2,3,5,6}:{(65,1),(68,1),(76,1),(93,1),(95,1)}
        84:{3,5,7}:{(66,1),(67,1),(95,1)}
        85:{1,2,4,5,6}:{(67,1),(68,1),(69,1),(91,1),(93,1),(95,1),(103,1),(104,1)}
        86:{2,3,5,7}:{(70,1),(71,1),(73,1),(96,1)}
        87:{1,2,4,6}:{(71,1),(72,1),(91,1),(96,1),(103,1)}
        88:{1,3,5,7}:{(74,1),(75,1),(77,1),(97,1)}
        89:{1,2,4,6}:{(75,1),(76,1),(93,1),(97,1),(104,1)}
        90:{2,3,5,7}:{(78,1),(79,1),(84,1),(98,1),(99,1)}
        91:{1,2,5,6}:{(79,1),(80,1),(87,1),(99,1)}
        92:{1,3,5,7}:{(81,1),(82,1),(84,1),(100,1),(101,1)}
        93:{1,2,5,6}:{(82,1),(83,1),(89,1),(101,1)}
        94:{3,4,5,7}:{(84,1),(98,1),(100,1),(102,1)}
        95:{3,5,6}:{(84,1),(85,1),(102,1)}
        96:{2,3,6}:{(86,1),(87,1)}
        97:{1,3,6}:{(88,1),(89,1)}
        98:{2,4,5,7}:{(90,1),(94,1),(103,1)}
        99:{2,3,5,6}:{(90,1),(91,1),(95,1),(96,1),(103,1)}
       100:{1,4,5,7}:{(92,1),(94,1),(104,1)}
       101:{1,3,5,6}:{(92,1),(93,1),(95,1),(97,1),(104,1)}
       102:{3,4,6}:{(94,1),(95,1),(103,1),(104,1)}
       103:{2,4,6}:{(98,1),(99,1),(102,1)}
       104:{1,4,6}:{(100,1),(101,1),(102,1)}

2209 :  0:{2,3,4,5,7}:{(3,1),(4,1),(18,1),(35,1),(67,1)}
        1:{1,3,4,5,7}:{(3,1),(5,1),(20,1),(35,1),(67,1)}
        2:{1,2,3,4,7}:{(6,1),(7,1),(52,1),(83,1)}
        3:{1,2,4,5,7}:{(0,1),(1,1),(7,1),(8,1),(23,1),(27,1),(52,1)}
        4:{2,3,4,6}:{(0,1),(8,1),(9,1),(51,1)}
        5:{1,3,4,6}:{(1,1),(8,1),(11,1),(51,1)}
        6:{1,2,3,4,6}:{(2,1),(13,1),(14,1),(36,1),(63,1),(81,1)}
        7:{1,2,3,5,7}:{(2,1),(3,1),(13,1),(14,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(5,1),(14,1),(15,1)}
        9:{2,3,5,6}:{(4,1),(15,1),(17,1),(18,1),(38,1)}
       10:{2,3,4,6,7}:{(4,1),(16,1),(18,1),(33,1),(60,1),(67,1)}
       11:{1,3,5,6}:{(5,1),(15,1),(19,1),(20,1),(38,1)}
       12:{1,3,4,6,7}:{(5,1),(16,1),(20,1),(34,1),(60,1),(67,1)}
       13:{1,2,3,5}:{(6,1),(23,1)}
       14:{1,2,3,6}:{(7,1),(8,1)}
       15:{1,2,5,6}:{(8,1),(9,1),(11,1),(27,1)}
       16:{1,2,4,6,7}:{(8,1),(10,1),(12,1),(25,1),(27,1),(52,1)}
       17:{2,4,5,6}:{(9,1),(28,1),(29,1)}
       18:{2,3,5,7}:{(9,1),(10,1),(27,1),(29,1),(55,1)}
       19:{1,4,5,6}:{(11,1),(30,1),(31,1)}
       20:{1,3,5,7}:{(11,1),(12,1),(27,1),(31,1),(55,1)}
       21:{2,3,5,6,7}:{(18,1),(32,1),(33,1),(58,1),(60,1)}
       22:{1,3,5,6,7}:{(20,1),(32,1),(34,1),(59,1),(60,1)}
       23:{1,2,4,5}:{(13,1),(35,1),(36,1)}
       24:{1,2,3,5,6}:{(13,1),(14,1),(15,1),(36,1),(37,1),(38,1),(68,1),(81,1)}
       25:{1,2,3,6,7}:{(14,1),(16,1),(37,1),(60,1),(80,1)}
       26:{1,2,4,5,6}:{(15,1),(17,1),(19,1),(36,1),(38,1),(39,1),(40,1),(42,1),(68,1)}
       27:{1,2,5,7}:{(15,1),(16,1),(18,1),(20,1)}
       28:{3,4,5,6}:{(17,1),(38,1),(40,1),(41,1)}
       29:{2,4,5,7}:{(17,1),(18,1),(33,1),(41,1)}
       30:{3,4,5,6}:{(19,1),(38,1),(42,1),(43,1)}
       31:{1,4,5,7}:{(19,1),(20,1),(34,1),(43,1)}
       32:{1,2,5,6,7}:{(21,1),(22,1),(27,1),(46,1),(71,1),(72,1)}
       33:{2,4,6,7}:{(21,1),(29,1),(47,1)}
       34:{1,4,6,7}:{(22,1),(31,1),(48,1)}
       35:{3,4,5}:{(23,1),(51,1)}
       36:{1,2,4,6}:{(23,1),(24,1),(51,1),(52,1)}
       37:{1,2,3,5,7}:{(24,1),(25,1),(27,1),(52,1),(55,1),(79,1),(83,1)}
       38:{3,5,6}:{(26,1),(51,1),(55,1)}
       39:{1,2,4,5,7}:{(26,1),(27,1),(29,1),(31,1),(46,1),(52,1),(55,1),(56,1),(57,1),(79,1)}
       40:{1,4,5,6}:{(28,1),(54,1),(56,1)}
       41:{3,4,5,7}:{(28,1),(29,1),(47,1),(55,1),(56,1)}
       42:{2,4,5,6}:{(30,1),(53,1),(57,1)}
       43:{3,4,5,7}:{(30,1),(31,1),(48,1),(55,1),(57,1)}
       44:{2,4,5,6,7}:{(33,1),(58,1)}
       45:{1,4,5,6,7}:{(34,1),(59,1)}
       46:{1,2,4,6,7}:{(32,1),(33,1),(34,1),(39,1),(60,1),(61,1),(62,1),(80,1)}
       47:{3,4,6,7}:{(33,1),(41,1),(58,1),(60,1),(61,1)}
       48:{3,4,6,7}:{(34,1),(43,1),(59,1),(60,1),(62,1)}
       49:{2,3,4,5}:{(35,1),(64,1),(65,1)}
       50:{1,3,4,5}:{(35,1),(64,1),(66,1)}
       51:{3,4,6}:{(35,1),(36,1),(38,1),(67,1)}
       52:{1,2,4,7}:{(36,1),(37,1),(67,1)}
       53:{2,3,5,6}:{(38,1),(42,1),(65,1),(68,1),(69,1)}
       54:{1,3,5,6}:{(38,1),(40,1),(66,1),(68,1),(70,1)}
       55:{3,5,7}:{(38,1),(39,1),(60,1),(67,1)}
       56:{1,4,5,7}:{(40,1),(41,1),(61,1),(70,1)}
       57:{2,4,5,7}:{(42,1),(43,1),(62,1),(69,1)}
       58:{3,5,6,7}:{(44,1),(47,1),(71,1)}
       59:{3,5,6,7}:{(45,1),(48,1),(72,1)}
       60:{3,6,7}:{(46,1),(55,1)}
       61:{1,4,6,7}:{(47,1),(56,1),(71,1),(74,1)}
       62:{2,4,6,7}:{(48,1),(57,1),(72,1),(73,1)}
       63:{1,2,3,4}:{(75,1)}
       64:{1,2,4,5}:{(49,1),(50,1),(75,1),(76,1)}
       65:{2,3,4,6}:{(49,1),(51,1),(53,1),(76,1),(77,1)}
       66:{1,3,4,6}:{(50,1),(51,1),(54,1),(76,1),(78,1)}
       67:{3,4,7}:{(51,1),(52,1),(55,1)}
       68:{1,2,5,6}:{(53,1),(54,1),(76,1),(79,1)}
       69:{2,3,5,7}:{(53,1),(55,1),(57,1),(73,1),(77,1),(79,1)}
       70:{1,3,5,7}:{(54,1),(55,1),(56,1),(74,1),(78,1),(79,1)}
       71:{1,5,6,7}:{(58,1),(61,1)}
       72:{2,5,6,7}:{(59,1),(62,1)}
       73:{2,3,6,7}:{(60,1),(62,1),(69,1),(80,1)}
       74:{1,3,6,7}:{(60,1),(61,1),(70,1),(80,1)}
       75:{1,2,3,5}:{(63,1),(64,1),(81,1)}
       76:{1,2,4,6}:{(64,1),(65,1),(66,1),(68,1),(81,1),(82,1)}
       77:{2,3,4,7}:{(65,1),(67,1),(69,1),(82,1)}
       78:{1,3,4,7}:{(66,1),(67,1),(70,1),(82,1)}
       79:{1,2,5,7}:{(68,1),(69,1),(70,1),(80,1),(82,1)}
       80:{1,2,6,7}:{(73,1),(74,1),(79,1)}
       81:{1,2,3,6}:{(75,1),(76,1),(83,1)}
       82:{1,2,4,7}:{(76,1),(77,1),(78,1),(79,1),(83,1)}
       83:{1,2,3,7}:{(81,1),(82,1)}

2210 :  0:{1,2,3,4,7}:{(1,1),(2,1),(32,1),(82,1)}
        1:{1,2,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(42,1),(73,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        3:{1,3,4,5,7}:{(5,1),(8,1),(20,1),(24,1),(46,1)}
        4:{2,3,4,5,7}:{(5,1),(9,1),(20,1),(26,1),(46,1)}
        5:{1,2,4,5,7}:{(2,1),(3,1),(4,1),(10,1),(11,1),(28,1),(32,1)}
        6:{1,2,3,5}:{(1,1),(11,1)}
        7:{1,2,3,6}:{(2,1),(10,1)}
        8:{1,3,4,6}:{(3,1),(10,1),(14,1),(31,1)}
        9:{2,3,4,6}:{(4,1),(10,1),(16,1),(31,1)}
       10:{1,2,4,6}:{(5,1),(7,1),(8,1),(9,1),(18,1)}
       11:{1,2,4,5}:{(6,1),(20,1),(21,1)}
       12:{1,2,3,5,6}:{(6,1),(7,1),(18,1),(21,1),(22,1),(40,1),(70,1),(73,1)}
       13:{1,2,3,6,7}:{(7,1),(19,1),(22,1),(69,1),(83,1)}
       14:{1,3,5,6}:{(8,1),(18,1),(23,1),(24,1),(40,1)}
       15:{1,3,4,6,7}:{(8,1),(19,1),(24,1),(46,1),(47,1),(69,1)}
       16:{2,3,5,6}:{(9,1),(18,1),(25,1),(26,1),(40,1)}
       17:{2,3,4,6,7}:{(9,1),(19,1),(26,1),(46,1),(50,1),(69,1)}
       18:{1,2,5,6}:{(10,1),(14,1),(16,1),(28,1)}
       19:{1,2,4,6,7}:{(10,1),(13,1),(15,1),(17,1),(28,1),(32,1)}
       20:{3,4,5}:{(11,1),(31,1)}
       21:{1,2,4,6}:{(11,1),(12,1),(31,1),(32,1)}
       22:{1,2,3,5,7}:{(12,1),(13,1),(28,1),(32,1),(58,1),(81,1),(82,1)}
       23:{1,4,5,6}:{(14,1),(34,1),(35,1)}
       24:{1,3,5,7}:{(14,1),(15,1),(28,1),(35,1),(58,1)}
       25:{2,4,5,6}:{(16,1),(37,1),(38,1)}
       26:{2,3,5,7}:{(16,1),(17,1),(28,1),(38,1),(58,1)}
       27:{1,2,4,5,6}:{(18,1),(21,1),(23,1),(25,1),(40,1),(41,1),(48,1),(51,1),(70,1)}
       28:{1,2,5,7}:{(18,1),(19,1),(24,1),(26,1)}
       29:{2,3,4,5}:{(20,1),(43,1),(44,1)}
       30:{1,3,4,5}:{(20,1),(43,1),(45,1)}
       31:{3,4,6}:{(20,1),(21,1),(40,1),(46,1)}
       32:{1,2,4,7}:{(21,1),(22,1),(46,1)}
       33:{1,3,5,6,7}:{(24,1),(39,1),(47,1),(67,1),(69,1)}
       34:{3,4,5,6}:{(23,1),(40,1),(48,1),(49,1)}
       35:{1,4,5,7}:{(23,1),(24,1),(47,1),(49,1)}
       36:{2,3,5,6,7}:{(26,1),(39,1),(50,1),(68,1),(69,1)}
       37:{3,4,5,6}:{(25,1),(40,1),(51,1),(52,1)}
       38:{2,4,5,7}:{(25,1),(26,1),(50,1),(52,1)}
       39:{1,2,5,6,7}:{(28,1),(33,1),(36,1),(55,1),(77,1),(78,1)}
       40:{3,5,6}:{(27,1),(31,1),(58,1)}
       41:{1,2,4,5,7}:{(27,1),(28,1),(32,1),(35,1),(38,1),(55,1),(58,1),(64,1),(66,1),(81,1)}
       42:{1,2,3,4}:{(59,1)}
       43:{1,2,4,5}:{(29,1),(30,1),(59,1),(60,1)}
       44:{2,3,4,6}:{(29,1),(31,1),(56,1),(60,1),(61,1)}
       45:{1,3,4,6}:{(30,1),(31,1),(57,1),(60,1),(62,1)}
       46:{3,4,7}:{(31,1),(32,1),(58,1)}
       47:{1,4,6,7}:{(33,1),(35,1),(63,1)}
       48:{2,4,5,6}:{(34,1),(56,1),(64,1)}
       49:{3,4,5,7}:{(34,1),(35,1),(58,1),(63,1),(64,1)}
       50:{2,4,6,7}:{(36,1),(38,1),(65,1)}
       51:{1,4,5,6}:{(37,1),(57,1),(66,1)}
       52:{3,4,5,7}:{(37,1),(38,1),(58,1),(65,1),(66,1)}
       53:{1,4,5,6,7}:{(47,1),(67,1)}
       54:{2,4,5,6,7}:{(50,1),(68,1)}
       55:{1,2,4,6,7}:{(39,1),(41,1),(47,1),(50,1),(69,1),(75,1),(76,1),(83,1)}
       56:{2,3,5,6}:{(40,1),(44,1),(48,1),(70,1),(71,1)}
       57:{1,3,5,6}:{(40,1),(45,1),(51,1),(70,1),(72,1)}
       58:{3,5,7}:{(40,1),(41,1),(46,1),(69,1)}
       59:{1,2,3,5}:{(42,1),(43,1),(73,1)}
       60:{1,2,4,6}:{(43,1),(44,1),(45,1),(70,1),(73,1),(74,1)}
       61:{2,3,4,7}:{(44,1),(46,1),(71,1),(74,1)}
       62:{1,3,4,7}:{(45,1),(46,1),(72,1),(74,1)}
       63:{3,4,6,7}:{(47,1),(49,1),(67,1),(69,1),(75,1)}
       64:{2,4,5,7}:{(48,1),(49,1),(71,1),(75,1)}
       65:{3,4,6,7}:{(50,1),(52,1),(68,1),(69,1),(76,1)}
       66:{1,4,5,7}:{(51,1),(52,1),(72,1),(76,1)}
       67:{3,5,6,7}:{(53,1),(63,1),(77,1)}
       68:{3,5,6,7}:{(54,1),(65,1),(78,1)}
       69:{3,6,7}:{(55,1),(58,1)}
       70:{1,2,5,6}:{(56,1),(57,1),(60,1),(81,1)}
       71:{2,3,5,7}:{(56,1),(58,1),(61,1),(64,1),(79,1),(81,1)}
       72:{1,3,5,7}:{(57,1),(58,1),(62,1),(66,1),(80,1),(81,1)}
       73:{1,2,3,6}:{(59,1),(60,1),(82,1)}
       74:{1,2,4,7}:{(60,1),(61,1),(62,1),(81,1),(82,1)}
       75:{2,4,6,7}:{(63,1),(64,1),(77,1),(79,1)}
       76:{1,4,6,7}:{(65,1),(66,1),(78,1),(80,1)}
       77:{2,5,6,7}:{(67,1),(75,1)}
       78:{1,5,6,7}:{(68,1),(76,1)}
       79:{2,3,6,7}:{(69,1),(71,1),(75,1),(83,1)}
       80:{1,3,6,7}:{(69,1),(72,1),(76,1),(83,1)}
       81:{1,2,5,7}:{(70,1),(71,1),(72,1),(74,1),(83,1)}
       82:{1,2,3,7}:{(73,1),(74,1)}
       83:{1,2,6,7}:{(79,1),(80,1),(81,1)}

2211 :  0:{1,2,3,4,7}:{(1,1),(2,1),(31,1),(55,1)}
        1:{1,2,3,4,6}:{(0,1),(4,1),(6,1),(16,1),(18,1),(40,1)}
        2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        3:{1,3,4,5,7}:{(5,1),(7,1),(17,1),(23,1),(44,1)}
        4:{1,2,3,5}:{(1,1),(9,1)}
        5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(11,1),(31,1),(32,1)}
        6:{1,2,3,6}:{(2,1),(11,1)}
        7:{1,3,4,6}:{(3,1),(11,1),(13,1),(29,1)}
        8:{2,3,4,5,7}:{(5,1),(15,1),(17,1),(38,1),(44,1)}
        9:{1,2,4,5}:{(4,1),(17,1),(18,1)}
       10:{1,2,3,5,6}:{(4,1),(6,1),(18,1),(19,1),(20,1),(40,1),(43,1),(68,1)}
       11:{1,2,4,6}:{(5,1),(6,1),(7,1),(15,1),(20,1)}
       12:{1,2,3,6,7}:{(6,1),(19,1),(21,1),(72,1),(82,1)}
       13:{1,3,5,6}:{(7,1),(20,1),(22,1),(23,1),(43,1)}
       14:{1,3,4,6,7}:{(7,1),(21,1),(23,1),(44,1),(49,1),(72,1)}
       15:{2,3,4,6}:{(8,1),(11,1),(24,1),(29,1)}
       16:{1,2,3,4}:{(26,1)}
       17:{3,4,5}:{(9,1),(29,1)}
       18:{1,2,4,6}:{(9,1),(10,1),(29,1),(31,1)}
       19:{1,2,3,5,7}:{(10,1),(12,1),(31,1),(32,1),(55,1),(60,1),(77,1)}
       20:{1,2,5,6}:{(11,1),(13,1),(24,1),(32,1)}
       21:{1,2,4,6,7}:{(11,1),(12,1),(14,1),(25,1),(31,1),(32,1)}
       22:{1,4,5,6}:{(13,1),(33,1),(34,1)}
       23:{1,3,5,7}:{(13,1),(14,1),(32,1),(34,1),(60,1)}
       24:{2,3,5,6}:{(15,1),(20,1),(37,1),(38,1),(43,1)}
       25:{2,3,4,6,7}:{(15,1),(21,1),(38,1),(44,1),(67,1),(72,1)}
       26:{1,2,3,5}:{(16,1),(39,1),(40,1)}
       27:{1,3,4,5}:{(17,1),(39,1),(41,1)}
       28:{2,3,4,5}:{(17,1),(39,1),(42,1)}
       29:{3,4,6}:{(17,1),(18,1),(43,1),(44,1)}
       30:{1,2,4,5,6}:{(18,1),(20,1),(22,1),(37,1),(43,1),(45,1),(47,1),(65,1),(68,1)}
       31:{1,2,4,7}:{(18,1),(19,1),(44,1)}
       32:{1,2,5,7}:{(20,1),(21,1),(23,1),(38,1)}
       33:{3,4,5,6}:{(22,1),(43,1),(47,1),(48,1)}
       34:{1,4,5,7}:{(22,1),(23,1),(48,1),(49,1)}
       35:{1,3,5,6,7}:{(23,1),(46,1),(49,1),(50,1),(72,1)}
       36:{1,4,5,6,7}:{(49,1),(50,1)}
       37:{2,4,5,6}:{(24,1),(51,1),(52,1)}
       38:{2,3,5,7}:{(24,1),(25,1),(32,1),(52,1),(60,1)}
       39:{1,2,4,5}:{(26,1),(27,1),(28,1),(54,1)}
       40:{1,2,3,6}:{(26,1),(54,1),(55,1)}
       41:{1,3,4,6}:{(27,1),(29,1),(54,1),(56,1),(57,1)}
       42:{2,3,4,6}:{(28,1),(29,1),(54,1),(58,1),(59,1)}
       43:{3,5,6}:{(29,1),(30,1),(60,1)}
       44:{3,4,7}:{(29,1),(31,1),(60,1)}
       45:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(34,1),(52,1),(60,1),(61,1),(62,1),(75,1),(77,1)}
       46:{1,2,5,6,7}:{(32,1),(35,1),(53,1),(61,1),(64,1),(83,1)}
       47:{2,4,5,6}:{(33,1),(58,1),(62,1)}
       48:{3,4,5,7}:{(33,1),(34,1),(60,1),(62,1),(63,1)}
       49:{1,4,6,7}:{(34,1),(35,1),(63,1)}
       50:{3,5,6,7}:{(36,1),(63,1),(64,1)}
       51:{3,4,5,6}:{(37,1),(43,1),(65,1),(66,1)}
       52:{2,4,5,7}:{(37,1),(38,1),(66,1),(67,1)}
       53:{2,3,5,6,7}:{(38,1),(46,1),(67,1),(72,1),(80,1)}
       54:{1,2,4,6}:{(39,1),(40,1),(41,1),(42,1),(68,1),(69,1)}
       55:{1,2,3,7}:{(40,1),(69,1)}
       56:{1,3,5,6}:{(41,1),(43,1),(65,1),(68,1),(70,1)}
       57:{1,3,4,7}:{(41,1),(44,1),(69,1),(70,1)}
       58:{2,3,5,6}:{(42,1),(43,1),(47,1),(68,1),(71,1)}
       59:{2,3,4,7}:{(42,1),(44,1),(69,1),(71,1)}
       60:{3,5,7}:{(43,1),(44,1),(45,1),(72,1)}
       61:{1,2,4,6,7}:{(45,1),(46,1),(49,1),(67,1),(72,1),(73,1),(81,1),(82,1)}
       62:{2,4,5,7}:{(47,1),(48,1),(71,1),(73,1)}
       63:{3,4,6,7}:{(48,1),(49,1),(50,1),(72,1),(73,1)}
       64:{2,5,6,7}:{(50,1),(73,1)}
       65:{1,4,5,6}:{(51,1),(56,1),(75,1)}
       66:{3,4,5,7}:{(51,1),(52,1),(60,1),(75,1),(76,1)}
       67:{2,4,6,7}:{(52,1),(53,1),(76,1)}
       68:{1,2,5,6}:{(54,1),(56,1),(58,1),(77,1)}
       69:{1,2,4,7}:{(54,1),(55,1),(57,1),(59,1),(77,1)}
       70:{1,3,5,7}:{(56,1),(57,1),(60,1),(75,1),(77,1),(78,1)}
       71:{2,3,5,7}:{(58,1),(59,1),(60,1),(62,1),(77,1),(79,1)}
       72:{3,6,7}:{(60,1),(61,1)}
       73:{2,4,6,7}:{(62,1),(63,1),(64,1),(79,1)}
       74:{2,4,5,6,7}:{(67,1),(80,1)}
       75:{1,4,5,7}:{(65,1),(66,1),(70,1),(81,1)}
       76:{3,4,6,7}:{(66,1),(67,1),(72,1),(80,1),(81,1)}
       77:{1,2,5,7}:{(68,1),(69,1),(70,1),(71,1),(82,1)}
       78:{1,3,6,7}:{(70,1),(72,1),(81,1),(82,1)}
       79:{2,3,6,7}:{(71,1),(72,1),(73,1),(82,1)}
       80:{3,5,6,7}:{(74,1),(76,1),(83,1)}
       81:{1,4,6,7}:{(75,1),(76,1),(78,1),(83,1)}
       82:{1,2,6,7}:{(77,1),(78,1),(79,1)}
       83:{1,5,6,7}:{(80,1),(81,1)}

2212 :  0:{1,2,3,4,7}:{(1,1),(2,1),(31,1),(55,1)}
        1:{1,2,3,4,6}:{(0,1),(4,1),(6,1),(16,1),(18,1),(40,1)}
        2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        3:{2,3,4,5,7}:{(5,1),(7,1),(17,1),(23,1),(44,1)}
        4:{1,2,3,5}:{(1,1),(9,1)}
        5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(11,1),(31,1),(32,1)}
        6:{1,2,3,6}:{(2,1),(11,1)}
        7:{2,3,4,6}:{(3,1),(11,1),(13,1),(29,1)}
        8:{1,3,4,5,7}:{(5,1),(15,1),(17,1),(38,1),(44,1)}
        9:{1,2,4,5}:{(4,1),(17,1),(18,1)}
       10:{1,2,3,5,6}:{(4,1),(6,1),(18,1),(19,1),(20,1),(40,1),(43,1),(68,1)}
       11:{1,2,4,6}:{(5,1),(6,1),(7,1),(15,1),(20,1)}
       12:{1,2,3,6,7}:{(6,1),(19,1),(21,1),(72,1),(82,1)}
       13:{2,3,5,6}:{(7,1),(20,1),(22,1),(23,1),(43,1)}
       14:{2,3,4,6,7}:{(7,1),(21,1),(23,1),(44,1),(49,1),(72,1)}
       15:{1,3,4,6}:{(8,1),(11,1),(24,1),(29,1)}
       16:{1,2,3,4}:{(26,1)}
       17:{3,4,5}:{(9,1),(29,1)}
       18:{1,2,4,6}:{(9,1),(10,1),(29,1),(31,1)}
       19:{1,2,3,5,7}:{(10,1),(12,1),(31,1),(32,1),(55,1),(60,1),(77,1)}
       20:{1,2,5,6}:{(11,1),(13,1),(24,1),(32,1)}
       21:{1,2,4,6,7}:{(11,1),(12,1),(14,1),(25,1),(31,1),(32,1)}
       22:{2,4,5,6}:{(13,1),(33,1),(34,1)}
       23:{2,3,5,7}:{(13,1),(14,1),(32,1),(34,1),(60,1)}
       24:{1,3,5,6}:{(15,1),(20,1),(37,1),(38,1),(43,1)}
       25:{1,3,4,6,7}:{(15,1),(21,1),(38,1),(44,1),(67,1),(72,1)}
       26:{1,2,3,5}:{(16,1),(39,1),(40,1)}
       27:{1,3,4,5}:{(17,1),(39,1),(41,1)}
       28:{2,3,4,5}:{(17,1),(39,1),(42,1)}
       29:{3,4,6}:{(17,1),(18,1),(43,1),(44,1)}
       30:{1,2,4,5,6}:{(18,1),(20,1),(22,1),(37,1),(43,1),(45,1),(47,1),(65,1),(68,1)}
       31:{1,2,4,7}:{(18,1),(19,1),(44,1)}
       32:{1,2,5,7}:{(20,1),(21,1),(23,1),(38,1)}
       33:{3,4,5,6}:{(22,1),(43,1),(47,1),(48,1)}
       34:{2,4,5,7}:{(22,1),(23,1),(48,1),(49,1)}
       35:{2,3,5,6,7}:{(23,1),(46,1),(49,1),(50,1),(72,1)}
       36:{2,4,5,6,7}:{(49,1),(50,1)}
       37:{1,4,5,6}:{(24,1),(51,1),(52,1)}
       38:{1,3,5,7}:{(24,1),(25,1),(32,1),(52,1),(60,1)}
       39:{1,2,4,5}:{(26,1),(27,1),(28,1),(54,1)}
       40:{1,2,3,6}:{(26,1),(54,1),(55,1)}
       41:{1,3,4,6}:{(27,1),(29,1),(54,1),(56,1),(57,1)}
       42:{2,3,4,6}:{(28,1),(29,1),(54,1),(58,1),(59,1)}
       43:{3,5,6}:{(29,1),(30,1),(60,1)}
       44:{3,4,7}:{(29,1),(31,1),(60,1)}
       45:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(34,1),(52,1),(60,1),(61,1),(62,1),(75,1),(77,1)}
       46:{1,2,5,6,7}:{(32,1),(35,1),(53,1),(61,1),(64,1),(83,1)}
       47:{1,4,5,6}:{(33,1),(56,1),(62,1)}
       48:{3,4,5,7}:{(33,1),(34,1),(60,1),(62,1),(63,1)}
       49:{2,4,6,7}:{(34,1),(35,1),(63,1)}
       50:{3,5,6,7}:{(36,1),(63,1),(64,1)}
       51:{3,4,5,6}:{(37,1),(43,1),(65,1),(66,1)}
       52:{1,4,5,7}:{(37,1),(38,1),(66,1),(67,1)}
       53:{1,3,5,6,7}:{(38,1),(46,1),(67,1),(72,1),(80,1)}
       54:{1,2,4,6}:{(39,1),(40,1),(41,1),(42,1),(68,1),(69,1)}
       55:{1,2,3,7}:{(40,1),(69,1)}
       56:{1,3,5,6}:{(41,1),(43,1),(47,1),(68,1),(70,1)}
       57:{1,3,4,7}:{(41,1),(44,1),(69,1),(70,1)}
       58:{2,3,5,6}:{(42,1),(43,1),(65,1),(68,1),(71,1)}
       59:{2,3,4,7}:{(42,1),(44,1),(69,1),(71,1)}
       60:{3,5,7}:{(43,1),(44,1),(45,1),(72,1)}
       61:{1,2,4,6,7}:{(45,1),(46,1),(49,1),(67,1),(72,1),(73,1),(81,1),(82,1)}
       62:{1,4,5,7}:{(47,1),(48,1),(70,1),(73,1)}
       63:{3,4,6,7}:{(48,1),(49,1),(50,1),(72,1),(73,1)}
       64:{1,5,6,7}:{(50,1),(73,1)}
       65:{2,4,5,6}:{(51,1),(58,1),(75,1)}
       66:{3,4,5,7}:{(51,1),(52,1),(60,1),(75,1),(76,1)}
       67:{1,4,6,7}:{(52,1),(53,1),(76,1)}
       68:{1,2,5,6}:{(54,1),(56,1),(58,1),(77,1)}
       69:{1,2,4,7}:{(54,1),(55,1),(57,1),(59,1),(77,1)}
       70:{1,3,5,7}:{(56,1),(57,1),(60,1),(62,1),(77,1),(78,1)}
       71:{2,3,5,7}:{(58,1),(59,1),(60,1),(75,1),(77,1),(79,1)}
       72:{3,6,7}:{(60,1),(61,1)}
       73:{1,4,6,7}:{(62,1),(63,1),(64,1),(78,1)}
       74:{1,4,5,6,7}:{(67,1),(80,1)}
       75:{2,4,5,7}:{(65,1),(66,1),(71,1),(81,1)}
       76:{3,4,6,7}:{(66,1),(67,1),(72,1),(80,1),(81,1)}
       77:{1,2,5,7}:{(68,1),(69,1),(70,1),(71,1),(82,1)}
       78:{1,3,6,7}:{(70,1),(72,1),(73,1),(82,1)}
       79:{2,3,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       80:{3,5,6,7}:{(74,1),(76,1),(83,1)}
       81:{2,4,6,7}:{(75,1),(76,1),(79,1),(83,1)}
       82:{1,2,6,7}:{(77,1),(78,1),(79,1)}
       83:{2,5,6,7}:{(80,1),(81,1)}

2213 :  0:{1,2,3,4,6,7}:{(1,1),(4,1),(6,1),(17,1),(21,1),(41,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(32,1),(51,1)}
        2:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,5,6}:{(1,1),(6,1),(17,1),(20,1),(40,1)}
        4:{1,2,3,4,7}:{(8,1),(9,1),(47,1)}
        5:{3,4,5,7}:{(2,1),(12,1),(32,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(12,1)}
        7:{1,2,3,5,6,7}:{(3,1),(14,1),(27,1),(32,1),(51,1),(52,1),(53,1)}
        8:{1,2,3,4,6}:{(4,1),(15,1),(17,1),(35,1)}
        9:{1,2,3,5,7}:{(4,1),(15,1),(16,1),(17,1)}
       10:{1,3,4,5,7}:{(5,1),(16,1),(18,1),(34,1),(42,1),(55,1)}
       11:{2,3,4,5,7}:{(5,1),(16,1),(19,1),(34,1),(43,1),(55,1)}
       12:{3,4,6}:{(5,1),(6,1),(20,1)}
       13:{1,2,4,5,6}:{(6,1),(20,1),(22,1),(37,1),(38,1),(40,1)}
       14:{1,2,4,6,7}:{(6,1),(7,1),(21,1),(22,1),(57,1),(58,1)}
       15:{1,2,3,5}:{(8,1),(23,1)}
       16:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(47,1),(51,1)}
       17:{1,2,3,6}:{(9,1),(26,1)}
       18:{1,3,4,6}:{(10,1),(12,1),(26,1),(28,1),(45,1)}
       19:{2,3,4,6}:{(11,1),(12,1),(26,1),(30,1),(45,1)}
       20:{3,5,6}:{(12,1),(13,1),(32,1)}
       21:{3,4,6,7}:{(12,1),(14,1),(32,1)}
       22:{1,2,4,5,7}:{(13,1),(14,1),(32,1),(48,1),(49,1),(51,1)}
       23:{1,2,4,5}:{(15,1),(34,1),(35,1)}
       24:{1,2,3,5,6}:{(15,1),(17,1),(35,1),(36,1),(40,1),(54,1)}
       25:{3,4,5,6}:{(20,1),(37,1),(38,1),(39,1),(54,1)}
       26:{1,2,4,6}:{(16,1),(17,1),(18,1),(19,1),(40,1)}
       27:{1,2,3,6,7}:{(17,1),(36,1),(41,1),(62,1)}
       28:{1,3,5,6}:{(18,1),(20,1),(37,1),(40,1),(42,1),(54,1)}
       29:{1,3,4,6,7}:{(18,1),(21,1),(41,1),(42,1),(55,1),(57,1),(62,1)}
       30:{2,3,5,6}:{(19,1),(20,1),(38,1),(40,1),(43,1),(54,1)}
       31:{2,3,4,6,7}:{(19,1),(21,1),(41,1),(43,1),(55,1),(58,1),(62,1)}
       32:{3,5,7}:{(20,1),(21,1),(22,1)}
       33:{1,2,4,5,6,7}:{(22,1),(44,1),(57,1),(58,1),(59,1)}
       34:{3,4,5}:{(23,1),(45,1)}
       35:{1,2,4,6}:{(23,1),(24,1),(45,1),(47,1)}
       36:{1,2,3,5,7}:{(24,1),(27,1),(47,1),(51,1),(60,1)}
       37:{1,4,5,6}:{(25,1),(28,1),(48,1)}
       38:{2,4,5,6}:{(25,1),(30,1),(49,1)}
       39:{3,4,5,7}:{(25,1),(32,1),(48,1),(49,1),(50,1),(60,1)}
       40:{1,2,5,6}:{(26,1),(28,1),(30,1),(51,1)}
       41:{1,2,4,6,7}:{(26,1),(27,1),(29,1),(31,1),(47,1),(51,1)}
       42:{1,3,5,7}:{(28,1),(29,1),(32,1),(48,1),(51,1),(60,1)}
       43:{2,3,5,7}:{(30,1),(31,1),(32,1),(49,1),(51,1),(60,1)}
       44:{3,5,6,7}:{(32,1),(33,1),(50,1)}
       45:{3,4,6}:{(34,1),(35,1),(54,1),(55,1)}
       46:{1,2,4,5,6}:{(35,1),(37,1),(38,1),(40,1),(54,1),(56,1)}
       47:{1,2,4,7}:{(35,1),(36,1),(55,1)}
       48:{1,4,5,7}:{(37,1),(39,1),(42,1),(57,1)}
       49:{2,4,5,7}:{(38,1),(39,1),(43,1),(58,1)}
       50:{3,4,6,7}:{(39,1),(44,1),(57,1),(58,1),(62,1)}
       51:{1,2,5,7}:{(40,1),(41,1),(42,1),(43,1)}
       52:{1,3,5,6,7}:{(42,1),(44,1),(57,1),(59,1),(62,1)}
       53:{2,3,5,6,7}:{(43,1),(44,1),(58,1),(59,1),(62,1)}
       54:{3,5,6}:{(45,1),(46,1),(60,1)}
       55:{3,4,7}:{(45,1),(47,1),(60,1)}
       56:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(49,1),(51,1),(60,1),(61,1)}
       57:{1,4,6,7}:{(48,1),(50,1),(52,1)}
       58:{2,4,6,7}:{(49,1),(50,1),(53,1)}
       59:{1,2,5,6,7}:{(51,1),(52,1),(53,1),(61,1)}
       60:{3,5,7}:{(54,1),(55,1),(56,1),(62,1)}
       61:{1,2,4,6,7}:{(56,1),(57,1),(58,1),(59,1),(62,1)}
       62:{3,6,7}:{(60,1),(61,1)}

2214 :  0:{1,3,4,5,7}:{(2,1),(3,1),(16,1),(64,1),(67,1)}
        1:{2,3,4,5,7}:{(2,1),(4,1),(17,1),(64,1),(67,1)}
        2:{1,2,4,5,7}:{(0,1),(1,1),(7,1),(8,1),(29,1),(54,1),(58,1)}
        3:{1,3,4,6}:{(0,1),(8,1),(9,1),(59,1)}
        4:{2,3,4,6}:{(1,1),(8,1),(10,1),(59,1)}
        5:{1,3,4,6,7}:{(3,1),(15,1),(16,1),(24,1),(51,1),(64,1)}
        6:{2,3,4,6,7}:{(4,1),(15,1),(17,1),(25,1),(51,1),(64,1)}
        7:{1,2,3,5,7}:{(2,1),(18,1),(19,1),(46,1)}
        8:{1,2,4,6}:{(2,1),(3,1),(4,1),(19,1),(20,1)}
        9:{1,3,5,6}:{(3,1),(16,1),(20,1),(21,1),(48,1)}
       10:{2,3,5,6}:{(4,1),(17,1),(20,1),(22,1),(48,1)}
       11:{1,3,5,6,7}:{(16,1),(23,1),(24,1),(26,1),(51,1)}
       12:{2,3,5,6,7}:{(17,1),(23,1),(25,1),(27,1),(51,1)}
       13:{1,4,5,6,7}:{(24,1),(26,1)}
       14:{2,4,5,6,7}:{(25,1),(27,1)}
       15:{1,2,4,6,7}:{(5,1),(6,1),(8,1),(28,1),(29,1),(54,1)}
       16:{1,3,5,7}:{(5,1),(9,1),(29,1),(30,1),(55,1)}
       17:{2,3,5,7}:{(6,1),(10,1),(29,1),(31,1),(55,1)}
       18:{1,2,3,4,7}:{(7,1),(32,1),(54,1),(81,1)}
       19:{1,2,3,6}:{(7,1),(8,1)}
       20:{1,2,5,6}:{(8,1),(9,1),(10,1),(29,1)}
       21:{1,4,5,6}:{(9,1),(30,1),(35,1)}
       22:{2,4,5,6}:{(10,1),(31,1),(36,1)}
       23:{1,2,5,6,7}:{(11,1),(12,1),(29,1),(37,1),(40,1),(41,1)}
       24:{1,4,6,7}:{(11,1),(30,1),(38,1)}
       25:{2,4,6,7}:{(12,1),(31,1),(39,1)}
       26:{3,5,6,7}:{(13,1),(38,1),(40,1)}
       27:{3,5,6,7}:{(14,1),(39,1),(41,1)}
       28:{1,2,3,6,7}:{(15,1),(19,1),(42,1),(51,1),(71,1)}
       29:{1,2,5,7}:{(15,1),(16,1),(17,1),(20,1)}
       30:{1,4,5,7}:{(16,1),(21,1),(24,1),(44,1)}
       31:{2,4,5,7}:{(17,1),(22,1),(25,1),(45,1)}
       32:{1,2,3,4,6}:{(18,1),(19,1),(46,1),(47,1),(80,1),(83,1)}
       33:{1,2,3,5,6}:{(19,1),(20,1),(42,1),(46,1),(47,1),(48,1),(70,1),(80,1)}
       34:{1,2,4,5,6}:{(20,1),(21,1),(22,1),(43,1),(47,1),(48,1),(49,1),(50,1),(70,1)}
       35:{3,4,5,6}:{(21,1),(44,1),(48,1),(49,1)}
       36:{3,4,5,6}:{(22,1),(45,1),(48,1),(50,1)}
       37:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(43,1),(51,1),(52,1),(53,1),(71,1)}
       38:{3,4,6,7}:{(24,1),(26,1),(44,1),(51,1),(52,1)}
       39:{3,4,6,7}:{(25,1),(27,1),(45,1),(51,1),(53,1)}
       40:{2,5,6,7}:{(26,1),(52,1)}
       41:{1,5,6,7}:{(27,1),(53,1)}
       42:{1,2,3,5,7}:{(28,1),(29,1),(33,1),(54,1),(55,1),(74,1),(81,1)}
       43:{1,2,4,5,7}:{(29,1),(30,1),(31,1),(34,1),(37,1),(54,1),(55,1),(56,1),(57,1),(74,1)}
       44:{3,4,5,7}:{(30,1),(35,1),(38,1),(55,1),(56,1)}
       45:{3,4,5,7}:{(31,1),(36,1),(39,1),(55,1),(57,1)}
       46:{1,2,3,5}:{(32,1),(58,1)}
       47:{1,2,4,6}:{(33,1),(54,1),(58,1),(59,1)}
       48:{3,5,6}:{(34,1),(55,1),(59,1)}
       49:{2,4,5,6}:{(35,1),(56,1),(61,1)}
       50:{1,4,5,6}:{(36,1),(57,1),(60,1)}
       51:{3,6,7}:{(37,1),(55,1)}
       52:{2,4,6,7}:{(38,1),(40,1),(56,1),(63,1)}
       53:{1,4,6,7}:{(39,1),(41,1),(57,1),(62,1)}
       54:{1,2,4,7}:{(42,1),(47,1),(64,1)}
       55:{3,5,7}:{(43,1),(48,1),(51,1),(64,1)}
       56:{2,4,5,7}:{(44,1),(49,1),(52,1),(66,1)}
       57:{1,4,5,7}:{(45,1),(50,1),(53,1),(65,1)}
       58:{1,2,4,5}:{(46,1),(47,1),(67,1)}
       59:{3,4,6}:{(47,1),(48,1),(64,1),(67,1)}
       60:{1,3,5,6}:{(48,1),(50,1),(65,1),(68,1),(70,1)}
       61:{2,3,5,6}:{(48,1),(49,1),(66,1),(69,1),(70,1)}
       62:{1,3,6,7}:{(51,1),(53,1),(65,1),(71,1)}
       63:{2,3,6,7}:{(51,1),(52,1),(66,1),(71,1)}
       64:{3,4,7}:{(54,1),(55,1),(59,1)}
       65:{1,3,5,7}:{(55,1),(57,1),(60,1),(62,1),(72,1),(74,1)}
       66:{2,3,5,7}:{(55,1),(56,1),(61,1),(63,1),(73,1),(74,1)}
       67:{3,4,5}:{(58,1),(59,1)}
       68:{1,3,4,6}:{(59,1),(60,1),(72,1),(75,1),(77,1)}
       69:{2,3,4,6}:{(59,1),(61,1),(73,1),(76,1),(77,1)}
       70:{1,2,5,6}:{(60,1),(61,1),(74,1),(77,1)}
       71:{1,2,6,7}:{(62,1),(63,1),(74,1)}
       72:{1,3,4,7}:{(64,1),(65,1),(68,1),(78,1)}
       73:{2,3,4,7}:{(64,1),(66,1),(69,1),(78,1)}
       74:{1,2,5,7}:{(65,1),(66,1),(70,1),(71,1),(78,1)}
       75:{1,3,4,5}:{(67,1),(68,1),(79,1)}
       76:{2,3,4,5}:{(67,1),(69,1),(79,1)}
       77:{1,2,4,6}:{(68,1),(69,1),(70,1),(78,1),(79,1),(80,1)}
       78:{1,2,4,7}:{(72,1),(73,1),(74,1),(77,1),(81,1)}
       79:{1,2,4,5}:{(75,1),(76,1),(77,1),(82,1)}
       80:{1,2,3,6}:{(77,1),(81,1),(82,1)}
       81:{1,2,3,7}:{(78,1),(80,1)}
       82:{1,2,3,5}:{(79,1),(80,1),(83,1)}
       83:{1,2,3,4}:{(82,1)}

2215 :  0:{1,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,3,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,4,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,2,4,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,5,7}:{(4,1),(8,1),(9,1)}
        7:{1,3,4,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,2,4,5,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,6}:{(6,1),(12,1),(27,1)}
       10:{1,2,3,4,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{1,3,5,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6}:{(8,1),(9,1),(16,1),(23,1)}
       13:{2,3,4,5,6,7}:{(9,1),(17,1),(32,1)}
       14:{1,2,3,5,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{1,3,4,5,7}:{(11,1),(18,1),(20,1)}
       16:{1,3,5,6}:{(11,1),(12,1),(20,1)}
       17:{1,2,4,5,6,7}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,2,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(14,1),(16,1),(23,1),(31,1)}
       20:{1,3,4,6}:{(15,1),(16,1),(23,1)}
       21:{1,3,5,6,7}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,5,7}:{(18,1),(27,1),(34,1)}
       23:{1,2,4,6}:{(18,1),(19,1),(20,1),(27,1)}
       24:{1,2,3,5,6,7}:{(19,1),(21,1),(29,1),(34,1)}
       25:{1,3,4,5,6}:{(20,1),(28,1),(30,1)}
       26:{1,3,4,6,7}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,4,6}:{(22,1),(23,1),(31,1)}
       28:{1,2,4,5,6}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{1,3,4,5,7}:{(25,1),(26,1),(33,1)}
       31:{2,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{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:{2,3,5,7}:{(31,1),(32,1),(33,1)}

2216 :   0:{2,3,4,5,6}:{(3,1),(4,1),(27,1),(56,1),(82,1)}
         1:{1,3,4,5,6}:{(5,1),(6,1),(22,1),(51,1),(87,1)}
         2:{1,2,3,4,6}:{(7,1),(8,1),(32,1),(34,1)}
         3:{1,2,4,5,6}:{(0,1),(10,1),(11,1),(32,1),(61,1),(66,1)}
         4:{2,3,4,5,7}:{(0,1),(11,1),(12,1),(42,1),(72,1),(101,1)}
         5:{1,2,4,5,6}:{(1,1),(14,1),(15,1),(32,1),(61,1),(71,1)}
         6:{1,3,4,5,7}:{(1,1),(15,1),(16,1),(37,1),(67,1),(107,1)}
         7:{1,2,3,4,7}:{(2,1),(19,1),(47,1)}
         8:{1,2,3,5}:{(2,1),(17,1)}
         9:{1,3,4,5}:{(17,1),(22,1)}
        10:{1,3,5,6}:{(3,1),(22,1),(23,1)}
        11:{1,2,4,5,7}:{(3,1),(4,1),(23,1),(24,1),(47,1),(77,1),(83,1)}
        12:{2,3,4,6,7}:{(4,1),(24,1),(25,1),(84,1)}
        13:{2,3,4,5}:{(17,1),(27,1)}
        14:{2,3,5,6}:{(5,1),(27,1),(28,1)}
        15:{1,2,4,5,7}:{(5,1),(6,1),(28,1),(29,1),(47,1),(77,1),(88,1)}
        16:{1,3,4,6,7}:{(6,1),(29,1),(30,1),(89,1)}
        17:{1,2,4,5}:{(8,1),(9,1),(13,1),(32,1)}
        18:{1,2,3,4,6,7}:{(7,1),(33,1),(34,1),(62,1),(64,1),(94,1),(98,1),(131,1),(132,1)}
        19:{1,2,3,5,7}:{(7,1),(8,1),(31,1),(34,1)}
        20:{1,2,3,5,6}:{(8,1),(10,1),(14,1),(32,1),(34,1),(35,1),(61,1)}
        21:{1,3,4,5,7}:{(9,1),(31,1),(36,1),(37,1),(63,1),(67,1)}
        22:{1,3,4,6}:{(9,1),(10,1),(32,1),(37,1)}
        23:{1,3,5,7}:{(10,1),(11,1),(37,1),(38,1)}
        24:{1,2,4,6,7}:{(11,1),(12,1),(38,1),(39,1),(68,1)}
        25:{2,3,5,6,7}:{(12,1),(39,1),(40,1),(69,1),(72,1)}
        26:{2,3,4,5,7}:{(13,1),(31,1),(41,1),(42,1),(63,1),(72,1)}
        27:{2,3,4,6}:{(13,1),(14,1),(32,1),(42,1)}
        28:{2,3,5,7}:{(14,1),(15,1),(42,1),(43,1)}
        29:{1,2,4,6,7}:{(15,1),(16,1),(43,1),(44,1),(73,1)}
        30:{1,3,5,6,7}:{(16,1),(44,1),(45,1),(67,1),(74,1)}
        31:{1,2,4,5,7}:{(17,1),(19,1),(21,1),(26,1),(46,1),(47,1),(77,1)}
        32:{1,2,4,6}:{(17,1),(20,1),(22,1),(27,1),(47,1)}
        33:{1,2,3,5,7}:{(18,1),(48,1),(49,1),(77,1),(114,1),(143,1)}
        34:{1,2,3,6}:{(19,1),(46,1)}
        35:{1,2,3,5,7}:{(20,1),(23,1),(28,1),(47,1),(50,1),(77,1)}
        36:{1,3,4,6}:{(21,1),(46,1),(51,1),(80,1)}
        37:{1,3,4,7}:{(22,1),(23,1),(47,1)}
        38:{1,3,6,7}:{(23,1),(24,1)}
        39:{1,2,5,6,7}:{(24,1),(25,1),(53,1),(77,1)}
        40:{2,4,5,6,7}:{(25,1),(55,1),(88,1)}
        41:{2,3,4,6}:{(26,1),(46,1),(56,1),(80,1)}
        42:{2,3,4,7}:{(27,1),(28,1),(47,1)}
        43:{2,3,6,7}:{(28,1),(29,1)}
        44:{1,2,5,6,7}:{(29,1),(30,1),(58,1),(77,1)}
        45:{1,4,5,6,7}:{(30,1),(60,1),(83,1)}
        46:{1,2,4,6}:{(31,1),(34,1),(36,1),(41,1),(61,1)}
        47:{1,2,4,7}:{(32,1),(35,1),(37,1),(42,1)}
        48:{1,2,4,5,7}:{(33,1),(63,1),(64,1)}
        49:{1,2,3,5,6}:{(33,1),(34,1),(61,1),(64,1),(92,1),(128,1),(131,1)}
        50:{1,2,3,6,7}:{(34,1),(35,1),(38,1),(43,1),(62,1)}
        51:{1,3,5,6}:{(36,1),(61,1),(66,1),(67,1),(92,1)}
        52:{1,3,4,6,7}:{(36,1),(37,1),(38,1),(62,1),(67,1),(68,1),(98,1)}
        53:{1,3,5,6,7}:{(38,1),(39,1),(67,1),(68,1),(69,1)}
        54:{1,2,4,5,6,7}:{(39,1),(40,1),(68,1),(69,1),(70,1),(93,1),(102,1),(104,1)}
        55:{3,4,5,6,7}:{(40,1),(69,1),(70,1),(107,1)}
        56:{2,3,5,6}:{(41,1),(61,1),(71,1),(72,1),(92,1)}
        57:{2,3,4,6,7}:{(41,1),(42,1),(43,1),(62,1),(72,1),(73,1),(98,1)}
        58:{2,3,5,6,7}:{(43,1),(44,1),(72,1),(73,1),(74,1)}
        59:{1,2,4,5,6,7}:{(44,1),(45,1),(73,1),(74,1),(75,1),(93,1),(109,1),(110,1)}
        60:{3,4,5,6,7}:{(45,1),(74,1),(75,1),(101,1)}
        61:{1,2,5,6}:{(46,1),(51,1),(56,1),(77,1)}
        62:{1,2,4,6,7}:{(46,1),(47,1),(50,1),(52,1),(57,1),(77,1)}
        63:{3,4,5,7}:{(48,1),(80,1),(114,1)}
        64:{1,2,4,6}:{(48,1),(49,1),(80,1)}
        65:{1,2,3,5,6,7}:{(49,1),(50,1),(53,1),(58,1),(77,1),(81,1),(85,1),(91,1),(114,1),(143,1),(144,1)}
        66:{1,4,5,6}:{(51,1),(82,1),(83,1)}
        67:{1,3,5,7}:{(51,1),(52,1),(77,1),(83,1),(114,1)}
        68:{1,4,6,7}:{(53,1),(83,1),(84,1)}
        69:{3,5,6,7}:{(54,1),(84,1),(114,1)}
        70:{1,4,5,6,7}:{(55,1),(86,1),(125,1)}
        71:{2,4,5,6}:{(56,1),(87,1),(88,1)}
        72:{2,3,5,7}:{(56,1),(57,1),(77,1),(88,1),(114,1)}
        73:{2,4,6,7}:{(58,1),(88,1),(89,1)}
        74:{3,5,6,7}:{(59,1),(89,1),(114,1)}
        75:{2,4,5,6,7}:{(60,1),(90,1),(120,1)}
        76:{1,2,4,5,6}:{(61,1),(64,1),(66,1),(71,1),(92,1),(93,1),(99,1),(106,1),(128,1)}
        77:{1,2,5,7}:{(61,1),(62,1),(67,1),(72,1)}
        78:{2,3,4,5,7}:{(63,1),(95,1),(96,1),(129,1),(133,1),(151,1)}
        79:{1,3,4,5,7}:{(63,1),(95,1),(97,1),(130,1),(137,1),(152,1)}
        80:{3,4,6}:{(63,1),(64,1),(92,1)}
        81:{1,2,4,6,7}:{(64,1),(65,1),(68,1),(73,1),(93,1),(98,1),(102,1),(109,1)}
        82:{3,4,5,6}:{(66,1),(92,1),(99,1),(101,1)}
        83:{1,4,5,7}:{(66,1),(67,1),(68,1),(101,1)}
        84:{3,4,6,7}:{(68,1),(69,1),(101,1),(102,1)}
        85:{2,3,5,6,7}:{(69,1),(102,1),(104,1),(129,1),(136,1)}
        86:{1,3,5,6,7}:{(69,1),(70,1),(103,1),(104,1),(130,1)}
        87:{3,4,5,6}:{(71,1),(92,1),(106,1),(107,1)}
        88:{2,4,5,7}:{(71,1),(72,1),(73,1),(107,1)}
        89:{3,4,6,7}:{(73,1),(74,1),(107,1),(109,1)}
        90:{2,3,5,6,7}:{(74,1),(75,1),(108,1),(110,1),(129,1)}
        91:{1,3,5,6,7}:{(74,1),(109,1),(110,1),(130,1),(140,1)}
        92:{3,5,6}:{(76,1),(80,1),(114,1)}
        93:{1,2,4,5,7}:{(76,1),(77,1),(81,1),(83,1),(88,1),(114,1),(120,1),(125,1),(143,1)}
        94:{1,2,3,4,7}:{(111,1),(115,1),(153,1)}
        95:{1,2,4,5,7}:{(78,1),(79,1),(115,1),(116,1),(141,1),(143,1),(153,1)}
        96:{2,3,4,6}:{(78,1),(80,1),(112,1),(116,1)}
        97:{1,3,4,6}:{(79,1),(80,1),(113,1),(116,1)}
        98:{3,4,6,7}:{(80,1),(81,1),(114,1)}
        99:{2,4,5,6}:{(82,1),(112,1),(120,1)}
       100:{1,3,4,5,6}:{(82,1),(113,1),(119,1),(121,1),(147,1)}
       101:{3,4,5,7}:{(82,1),(83,1),(84,1),(114,1),(120,1)}
       102:{2,4,6,7}:{(84,1),(85,1),(120,1)}
       103:{1,3,4,6,7}:{(84,1),(86,1),(121,1),(122,1)}
       104:{1,2,5,6,7}:{(85,1),(86,1),(122,1),(143,1)}
       105:{2,3,4,5,6}:{(87,1),(112,1),(123,1),(124,1),(145,1)}
       106:{1,4,5,6}:{(87,1),(113,1),(125,1)}
       107:{3,4,5,7}:{(87,1),(88,1),(89,1),(114,1),(125,1)}
       108:{2,3,4,6,7}:{(89,1),(90,1),(124,1),(126,1)}
       109:{1,4,6,7}:{(89,1),(91,1),(125,1)}
       110:{1,2,5,6,7}:{(90,1),(91,1),(126,1),(143,1)}
       111:{1,2,3,4,6}:{(94,1),(127,1),(131,1),(149,1)}
       112:{2,3,5,6}:{(92,1),(96,1),(99,1),(128,1),(129,1)}
       113:{1,3,5,6}:{(92,1),(97,1),(106,1),(128,1),(130,1)}
       114:{3,5,7}:{(92,1),(93,1),(98,1)}
       115:{1,2,3,5,7}:{(94,1),(95,1),(127,1),(131,1)}
       116:{1,2,4,6}:{(95,1),(96,1),(97,1),(128,1),(131,1)}
       117:{2,3,4,6,7}:{(96,1),(98,1),(102,1),(129,1),(132,1),(136,1),(151,1)}
       118:{1,3,4,6,7}:{(97,1),(98,1),(109,1),(130,1),(132,1),(140,1),(152,1)}
       119:{1,2,4,5,6}:{(99,1),(100,1),(128,1),(134,1),(135,1),(149,1)}
       120:{2,4,5,7}:{(99,1),(101,1),(102,1),(129,1)}
       121:{1,3,4,5,7}:{(100,1),(101,1),(103,1),(130,1),(135,1),(152,1)}
       122:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(135,1),(136,1)}
       123:{1,2,4,5,6}:{(105,1),(106,1),(128,1),(138,1),(139,1),(149,1)}
       124:{2,3,4,5,7}:{(105,1),(107,1),(108,1),(129,1),(139,1),(151,1)}
       125:{1,4,5,7}:{(106,1),(107,1),(109,1),(130,1)}
       126:{1,2,4,6,7}:{(108,1),(109,1),(110,1),(139,1),(140,1)}
       127:{1,2,3,5}:{(111,1),(141,1)}
       128:{1,2,5,6}:{(112,1),(113,1),(116,1),(143,1)}
       129:{2,3,5,7}:{(112,1),(114,1),(117,1),(120,1),(143,1)}
       130:{1,3,5,7}:{(113,1),(114,1),(118,1),(125,1),(143,1)}
       131:{1,2,3,6}:{(115,1),(116,1)}
       132:{1,2,4,6,7}:{(116,1),(117,1),(118,1),(143,1),(144,1),(153,1)}
       133:{2,3,4,5}:{(141,1),(145,1)}
       134:{2,3,5,6}:{(119,1),(145,1),(146,1)}
       135:{1,2,4,5,7}:{(119,1),(120,1),(121,1),(122,1),(143,1),(146,1),(153,1)}
       136:{2,3,6,7}:{(122,1),(146,1)}
       137:{1,3,4,5}:{(141,1),(147,1)}
       138:{1,3,5,6}:{(123,1),(147,1),(148,1)}
       139:{1,2,4,5,7}:{(123,1),(124,1),(125,1),(126,1),(143,1),(148,1),(153,1)}
       140:{1,3,6,7}:{(126,1),(148,1)}
       141:{1,2,4,5}:{(127,1),(133,1),(137,1),(149,1)}
       142:{1,2,3,5,6}:{(127,1),(128,1),(131,1),(134,1),(138,1),(149,1),(150,1)}
       143:{1,2,5,7}:{(128,1),(129,1),(130,1),(132,1)}
       144:{1,2,3,6,7}:{(131,1),(132,1),(136,1),(140,1),(150,1)}
       145:{2,3,4,6}:{(133,1),(134,1),(149,1),(151,1)}
       146:{2,3,5,7}:{(134,1),(135,1),(136,1),(151,1)}
       147:{1,3,4,6}:{(137,1),(138,1),(149,1),(152,1)}
       148:{1,3,5,7}:{(138,1),(139,1),(140,1),(152,1)}
       149:{1,2,4,6}:{(141,1),(142,1),(145,1),(147,1),(153,1)}
       150:{1,2,3,5,7}:{(142,1),(143,1),(144,1),(146,1),(148,1),(153,1)}
       151:{2,3,4,7}:{(145,1),(146,1),(153,1)}
       152:{1,3,4,7}:{(147,1),(148,1),(153,1)}
       153:{1,2,4,7}:{(149,1),(150,1),(151,1),(152,1)}

2217 :   0:{2,3,4,5,6}:{(2,1),(3,1),(22,1),(88,1),(119,1)}
         1:{1,3,4,5,6}:{(4,1),(5,1),(17,1),(84,1),(121,1)}
         2:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(35,1),(68,1),(101,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(24,1),(99,1),(102,1)}
         4:{1,3,4,5,7}:{(1,1),(9,1),(10,1),(29,1),(63,1),(104,1)}
         5:{1,2,4,5,6}:{(1,1),(10,1),(11,1),(24,1),(99,1),(105,1)}
         6:{2,3,4,6,7}:{(2,1),(14,1),(15,1),(82,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(15,1),(16,1),(39,1),(79,1),(83,1)}
         8:{1,3,5,6}:{(3,1),(16,1),(17,1)}
         9:{1,3,4,6,7}:{(4,1),(19,1),(20,1),(86,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(20,1),(21,1),(39,1),(79,1),(87,1)}
        11:{2,3,5,6}:{(5,1),(21,1),(22,1)}
        12:{1,2,3,5,6}:{(8,1),(11,1),(23,1),(24,1),(54,1),(94,1),(99,1)}
        13:{3,4,5,6,7}:{(25,1),(26,1),(61,1),(104,1)}
        14:{2,3,5,6,7}:{(6,1),(26,1),(27,1),(61,1),(68,1)}
        15:{1,2,4,6,7}:{(6,1),(7,1),(27,1),(28,1),(62,1)}
        16:{1,3,5,7}:{(7,1),(8,1),(28,1),(29,1)}
        17:{1,3,4,6}:{(8,1),(24,1),(29,1),(30,1)}
        18:{3,4,5,6,7}:{(31,1),(32,1),(66,1),(101,1)}
        19:{1,3,5,6,7}:{(9,1),(31,1),(33,1),(63,1),(66,1)}
        20:{1,2,4,6,7}:{(9,1),(10,1),(33,1),(34,1),(67,1)}
        21:{2,3,5,7}:{(10,1),(11,1),(34,1),(35,1)}
        22:{2,3,4,6}:{(11,1),(24,1),(35,1),(36,1)}
        23:{1,2,3,5,7}:{(12,1),(16,1),(21,1),(38,1),(39,1),(79,1)}
        24:{1,2,4,6}:{(12,1),(17,1),(22,1),(39,1),(40,1)}
        25:{1,4,5,6,7}:{(13,1),(41,1),(120,1)}
        26:{2,4,5,6,7}:{(13,1),(14,1),(87,1)}
        27:{1,2,5,6,7}:{(14,1),(15,1),(43,1),(79,1)}
        28:{1,3,6,7}:{(15,1),(16,1)}
        29:{1,3,4,7}:{(16,1),(17,1),(39,1)}
        30:{1,3,4,5}:{(17,1),(40,1)}
        31:{1,4,5,6,7}:{(18,1),(19,1),(83,1)}
        32:{2,4,5,6,7}:{(18,1),(46,1),(118,1)}
        33:{1,2,5,6,7}:{(19,1),(20,1),(48,1),(79,1)}
        34:{2,3,6,7}:{(20,1),(21,1)}
        35:{2,3,4,7}:{(21,1),(22,1),(39,1)}
        36:{2,3,4,5}:{(22,1),(40,1)}
        37:{1,2,3,4,6}:{(24,1),(53,1),(54,1),(94,1)}
        38:{1,2,3,6,7}:{(23,1),(28,1),(34,1),(58,1),(94,1)}
        39:{1,2,4,7}:{(23,1),(24,1),(29,1),(35,1)}
        40:{1,2,4,5}:{(24,1),(30,1),(36,1),(54,1)}
        41:{1,3,5,6,7}:{(25,1),(56,1),(60,1),(61,1),(131,1)}
        42:{1,2,4,5,6,7}:{(25,1),(26,1),(27,1),(60,1),(61,1),(62,1),(98,1),(100,1)}
        43:{1,3,5,6,7}:{(27,1),(28,1),(61,1),(62,1),(63,1)}
        44:{1,3,4,6,7}:{(28,1),(29,1),(58,1),(62,1),(63,1),(64,1),(97,1)}
        45:{1,3,4,5,7}:{(29,1),(30,1),(59,1),(63,1),(64,1),(128,1)}
        46:{2,3,5,6,7}:{(32,1),(55,1),(65,1),(66,1),(132,1)}
        47:{1,2,4,5,6,7}:{(31,1),(32,1),(33,1),(65,1),(66,1),(67,1),(98,1),(103,1)}
        48:{2,3,5,6,7}:{(33,1),(34,1),(66,1),(67,1),(68,1)}
        49:{2,3,4,6,7}:{(34,1),(35,1),(58,1),(67,1),(68,1),(69,1),(97,1)}
        50:{2,3,4,5,7}:{(35,1),(36,1),(59,1),(68,1),(69,1),(128,1)}
        51:{2,3,4,5,6}:{(70,1),(71,1),(110,1),(121,1),(144,1)}
        52:{1,3,4,5,6}:{(72,1),(73,1),(108,1),(119,1),(143,1)}
        53:{1,2,3,4,7}:{(37,1),(39,1),(75,1)}
        54:{1,2,3,5}:{(37,1),(40,1)}
        55:{2,3,4,6,7}:{(46,1),(70,1),(76,1),(86,1)}
        56:{1,3,4,6,7}:{(41,1),(72,1),(77,1),(82,1)}
        57:{1,2,3,5,6,7}:{(38,1),(43,1),(48,1),(78,1),(79,1),(81,1),(85,1),(112,1),(113,1),(116,1),(142,1)}
        58:{1,2,4,6,7}:{(38,1),(39,1),(44,1),(49,1),(79,1),(80,1)}
        59:{1,2,4,5,7}:{(39,1),(40,1),(45,1),(50,1),(75,1),(79,1),(80,1)}
        60:{1,2,5,6,7}:{(41,1),(77,1),(81,1),(142,1)}
        61:{3,5,6,7}:{(42,1),(82,1),(116,1)}
        62:{1,4,6,7}:{(43,1),(82,1),(83,1)}
        63:{1,3,5,7}:{(44,1),(79,1),(83,1),(84,1),(116,1)}
        64:{1,3,4,6}:{(45,1),(80,1),(84,1),(141,1)}
        65:{1,2,5,6,7}:{(46,1),(76,1),(85,1),(142,1)}
        66:{3,5,6,7}:{(47,1),(86,1),(116,1)}
        67:{2,4,6,7}:{(48,1),(86,1),(87,1)}
        68:{2,3,5,7}:{(49,1),(79,1),(87,1),(88,1),(116,1)}
        69:{2,3,4,6}:{(50,1),(80,1),(88,1),(141,1)}
        70:{2,3,4,5,7}:{(51,1),(55,1),(89,1),(104,1),(126,1),(132,1)}
        71:{1,2,4,5,6}:{(51,1),(89,1),(90,1),(123,1),(135,1),(150,1)}
        72:{1,3,4,5,7}:{(52,1),(56,1),(91,1),(101,1),(124,1),(131,1)}
        73:{1,2,4,5,6}:{(52,1),(91,1),(92,1),(123,1),(134,1),(150,1)}
        74:{1,2,3,4,6,7}:{(53,1),(58,1),(93,1),(94,1),(97,1),(129,1),(130,1),(145,1),(153,1)}
        75:{1,2,3,5,7}:{(53,1),(54,1),(59,1),(94,1)}
        76:{1,2,4,6,7}:{(55,1),(65,1),(89,1),(95,1),(103,1)}
        77:{1,2,4,6,7}:{(56,1),(60,1),(91,1),(96,1),(100,1)}
        78:{1,2,4,6,7}:{(57,1),(62,1),(67,1),(97,1),(98,1),(100,1),(103,1),(129,1)}
        79:{1,2,5,7}:{(58,1),(63,1),(68,1),(99,1)}
        80:{1,2,4,6}:{(59,1),(64,1),(69,1),(94,1),(99,1)}
        81:{2,3,5,6,7}:{(60,1),(61,1),(96,1),(100,1),(132,1)}
        82:{3,4,6,7}:{(61,1),(62,1),(100,1),(101,1)}
        83:{1,4,5,7}:{(62,1),(63,1),(101,1),(102,1)}
        84:{1,3,5,6}:{(63,1),(64,1),(99,1),(102,1),(133,1)}
        85:{1,3,5,6,7}:{(65,1),(66,1),(95,1),(103,1),(131,1)}
        86:{3,4,6,7}:{(66,1),(67,1),(103,1),(104,1)}
        87:{2,4,5,7}:{(67,1),(68,1),(104,1),(105,1)}
        88:{2,3,5,6}:{(68,1),(69,1),(99,1),(105,1),(133,1)}
        89:{1,2,4,5,7}:{(70,1),(71,1),(76,1),(107,1),(120,1),(137,1),(142,1)}
        90:{1,3,5,6}:{(71,1),(107,1),(108,1)}
        91:{1,2,4,5,7}:{(72,1),(73,1),(77,1),(109,1),(118,1),(137,1),(142,1)}
        92:{2,3,5,6}:{(73,1),(109,1),(110,1)}
        93:{1,2,3,5,7}:{(74,1),(79,1),(111,1),(112,1),(116,1),(142,1)}
        94:{1,2,3,6}:{(75,1),(80,1)}
        95:{1,3,6,7}:{(76,1),(107,1)}
        96:{2,3,6,7}:{(77,1),(109,1)}
        97:{3,4,6,7}:{(78,1),(116,1),(141,1)}
        98:{1,2,4,5,7}:{(78,1),(79,1),(83,1),(87,1),(116,1),(117,1),(118,1),(120,1),(142,1)}
        99:{1,2,5,6}:{(79,1),(80,1),(84,1),(88,1)}
       100:{2,4,6,7}:{(81,1),(82,1),(118,1)}
       101:{3,4,5,7}:{(82,1),(83,1),(116,1),(118,1),(119,1)}
       102:{1,4,5,6}:{(83,1),(84,1),(119,1)}
       103:{1,4,6,7}:{(85,1),(86,1),(120,1)}
       104:{3,4,5,7}:{(86,1),(87,1),(116,1),(120,1),(121,1)}
       105:{2,4,5,6}:{(87,1),(88,1),(121,1)}
       106:{1,2,3,5,6}:{(90,1),(92,1),(122,1),(123,1),(146,1),(150,1),(153,1)}
       107:{1,3,5,7}:{(89,1),(90,1),(95,1),(124,1)}
       108:{1,3,4,6}:{(90,1),(123,1),(124,1),(125,1)}
       109:{2,3,5,7}:{(91,1),(92,1),(96,1),(126,1)}
       110:{2,3,4,6}:{(92,1),(123,1),(126,1),(127,1)}
       111:{1,2,4,5,7}:{(93,1),(128,1),(129,1)}
       112:{1,2,3,5,6}:{(93,1),(94,1),(99,1),(129,1),(133,1),(150,1),(153,1)}
       113:{1,2,3,6,7}:{(95,1),(96,1),(122,1),(130,1),(153,1)}
       114:{1,3,4,6,7}:{(95,1),(97,1),(103,1),(124,1),(130,1),(131,1),(148,1)}
       115:{2,3,4,6,7}:{(96,1),(97,1),(100,1),(126,1),(130,1),(132,1),(149,1)}
       116:{3,5,7}:{(97,1),(98,1),(133,1)}
       117:{1,2,4,5,6}:{(98,1),(99,1),(102,1),(105,1),(129,1),(133,1),(134,1),(135,1),(150,1)}
       118:{2,4,5,7}:{(100,1),(101,1),(132,1),(134,1)}
       119:{3,4,5,6}:{(101,1),(102,1),(133,1),(134,1)}
       120:{1,4,5,7}:{(103,1),(104,1),(131,1),(135,1)}
       121:{3,4,5,6}:{(104,1),(105,1),(133,1),(135,1)}
       122:{1,2,3,5,7}:{(106,1),(107,1),(109,1),(113,1),(137,1),(142,1)}
       123:{1,2,4,6}:{(106,1),(108,1),(110,1),(137,1),(138,1)}
       124:{1,3,4,7}:{(107,1),(108,1),(137,1)}
       125:{1,3,4,5}:{(108,1),(138,1)}
       126:{2,3,4,7}:{(109,1),(110,1),(137,1)}
       127:{2,3,4,5}:{(110,1),(138,1)}
       128:{3,4,5,7}:{(111,1),(116,1),(141,1)}
       129:{1,2,4,6}:{(111,1),(112,1),(141,1)}
       130:{1,2,4,6,7}:{(113,1),(114,1),(115,1),(137,1),(142,1),(152,1)}
       131:{1,3,5,7}:{(114,1),(116,1),(120,1),(142,1),(143,1)}
       132:{2,3,5,7}:{(115,1),(116,1),(118,1),(142,1),(144,1)}
       133:{3,5,6}:{(116,1),(117,1),(141,1)}
       134:{2,4,5,6}:{(118,1),(119,1),(144,1)}
       135:{1,4,5,6}:{(120,1),(121,1),(143,1)}
       136:{1,2,3,4,6}:{(123,1),(145,1),(146,1),(153,1)}
       137:{1,2,4,7}:{(122,1),(123,1),(124,1),(126,1)}
       138:{1,2,4,5}:{(123,1),(125,1),(127,1),(146,1)}
       139:{1,3,4,5,7}:{(124,1),(125,1),(128,1),(131,1),(147,1),(148,1)}
       140:{2,3,4,5,7}:{(126,1),(127,1),(128,1),(132,1),(147,1),(149,1)}
       141:{3,4,6}:{(128,1),(129,1),(133,1)}
       142:{1,2,5,7}:{(130,1),(131,1),(132,1),(150,1)}
       143:{1,3,5,6}:{(131,1),(133,1),(135,1),(148,1),(150,1)}
       144:{2,3,5,6}:{(132,1),(133,1),(134,1),(149,1),(150,1)}
       145:{1,2,3,4,7}:{(136,1),(137,1),(151,1)}
       146:{1,2,3,5}:{(136,1),(138,1)}
       147:{1,2,4,5,7}:{(137,1),(138,1),(139,1),(140,1),(142,1),(151,1),(152,1)}
       148:{1,3,4,6}:{(139,1),(141,1),(143,1),(152,1)}
       149:{2,3,4,6}:{(140,1),(141,1),(144,1),(152,1)}
       150:{1,2,5,6}:{(142,1),(143,1),(144,1),(152,1)}
       151:{1,2,3,5,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{1,2,4,6}:{(147,1),(148,1),(149,1),(150,1),(153,1)}
       153:{1,2,3,6}:{(151,1),(152,1)}

2218 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{1,3,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{1,3,4,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,2,4,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{1,3,4,5,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,4,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,2,4,5,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{1,3,4,5,6}:{(6,1),(12,1),(27,1)}
       10:{1,2,3,4,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,3,5,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6}:{(8,1),(9,1),(16,1),(23,1)}
       13:{1,3,4,5,6,7}:{(9,1),(17,1),(32,1)}
       14:{1,2,3,5,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,5,7}:{(11,1),(18,1),(20,1)}
       16:{2,3,5,6}:{(11,1),(12,1),(20,1)}
       17:{1,2,4,5,6,7}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,2,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(14,1),(16,1),(23,1),(31,1)}
       20:{2,3,4,6}:{(15,1),(16,1),(23,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(26,1)}
       22:{1,3,4,5,7}:{(18,1),(27,1),(34,1)}
       23:{1,2,4,6}:{(18,1),(19,1),(20,1),(27,1)}
       24:{1,2,3,5,6,7}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,6}:{(20,1),(28,1),(30,1)}
       26:{2,3,4,6,7}:{(20,1),(21,1),(29,1),(30,1)}
       27:{1,3,4,6}:{(22,1),(23,1),(31,1)}
       28:{1,2,4,5,6}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,5,7}:{(25,1),(26,1),(33,1)}
       31:{1,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{1,3,4,6,7}:{(27,1),(29,1),(34,1)}
       33:{1,2,4,5,7}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,3,5,7}:{(31,1),(32,1),(33,1)}

2219 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(16,1),(20,1),(43,1),(44,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(28,1),(51,1)}
        2:{1,2,4,5,7}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,5,6}:{(1,1),(5,1),(14,1),(40,1),(43,1)}
        4:{3,4,5,7}:{(2,1),(11,1),(28,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(11,1)}
        6:{1,2,3,5,6,7}:{(3,1),(12,1),(23,1),(24,1),(28,1),(51,1),(52,1)}
        7:{1,2,4,5,6,7}:{(13,1),(15,1),(36,1),(37,1),(38,1)}
        8:{1,2,4,5,6}:{(5,1),(14,1),(15,1),(33,1),(34,1),(40,1)}
        9:{2,3,4,5,7}:{(4,1),(17,1),(18,1),(41,1),(53,1),(62,1)}
       10:{1,3,4,5,7}:{(4,1),(17,1),(19,1),(42,1),(53,1),(62,1)}
       11:{3,4,6}:{(4,1),(5,1),(14,1)}
       12:{1,2,4,6,7}:{(5,1),(6,1),(15,1),(20,1),(36,1),(37,1)}
       13:{3,5,6,7}:{(7,1),(22,1),(28,1)}
       14:{3,5,6}:{(8,1),(11,1),(28,1)}
       15:{1,2,4,5,7}:{(8,1),(12,1),(28,1),(46,1),(47,1),(51,1)}
       16:{1,2,3,4,7}:{(25,1),(29,1),(61,1)}
       17:{1,2,4,5,7}:{(9,1),(10,1),(29,1),(30,1),(49,1),(51,1),(61,1)}
       18:{2,3,4,6}:{(9,1),(11,1),(26,1),(30,1),(59,1)}
       19:{1,3,4,6}:{(10,1),(11,1),(27,1),(30,1),(59,1)}
       20:{3,4,6,7}:{(11,1),(12,1),(28,1)}
       21:{3,4,5,6}:{(14,1),(33,1),(34,1),(35,1),(54,1)}
       22:{3,4,6,7}:{(13,1),(35,1),(36,1),(37,1),(56,1)}
       23:{2,3,5,6,7}:{(13,1),(36,1),(38,1),(41,1),(56,1)}
       24:{1,3,5,6,7}:{(13,1),(37,1),(38,1),(42,1),(56,1)}
       25:{1,2,3,4,6}:{(16,1),(39,1),(43,1),(57,1)}
       26:{2,3,5,6}:{(14,1),(18,1),(33,1),(40,1),(41,1),(54,1)}
       27:{1,3,5,6}:{(14,1),(19,1),(34,1),(40,1),(42,1),(54,1)}
       28:{3,5,7}:{(14,1),(15,1),(20,1)}
       29:{1,2,3,5,7}:{(16,1),(17,1),(39,1),(43,1)}
       30:{1,2,4,6}:{(17,1),(18,1),(19,1),(40,1),(43,1)}
       31:{2,3,4,6,7}:{(18,1),(20,1),(36,1),(41,1),(44,1),(56,1),(62,1)}
       32:{1,3,4,6,7}:{(19,1),(20,1),(37,1),(42,1),(44,1),(56,1),(62,1)}
       33:{2,4,5,6}:{(21,1),(26,1),(46,1)}
       34:{1,4,5,6}:{(21,1),(27,1),(47,1)}
       35:{3,4,5,7}:{(21,1),(22,1),(28,1),(46,1),(47,1),(60,1)}
       36:{2,4,6,7}:{(22,1),(23,1),(46,1)}
       37:{1,4,6,7}:{(22,1),(24,1),(47,1)}
       38:{1,2,5,6,7}:{(23,1),(24,1),(48,1),(51,1)}
       39:{1,2,3,5}:{(25,1),(49,1)}
       40:{1,2,5,6}:{(26,1),(27,1),(30,1),(51,1)}
       41:{2,3,5,7}:{(26,1),(28,1),(31,1),(46,1),(51,1),(60,1)}
       42:{1,3,5,7}:{(27,1),(28,1),(32,1),(47,1),(51,1),(60,1)}
       43:{1,2,3,6}:{(29,1),(30,1)}
       44:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(51,1),(52,1),(61,1)}
       45:{1,2,4,5,6}:{(33,1),(34,1),(40,1),(54,1),(55,1),(57,1)}
       46:{2,4,5,7}:{(33,1),(35,1),(36,1),(41,1)}
       47:{1,4,5,7}:{(34,1),(35,1),(37,1),(42,1)}
       48:{1,2,4,6,7}:{(36,1),(37,1),(38,1),(55,1),(56,1)}
       49:{1,2,4,5}:{(39,1),(53,1),(57,1)}
       50:{1,2,3,5,6}:{(39,1),(40,1),(43,1),(54,1),(57,1),(58,1)}
       51:{1,2,5,7}:{(40,1),(41,1),(42,1),(44,1)}
       52:{1,2,3,6,7}:{(43,1),(44,1),(56,1),(58,1)}
       53:{3,4,5}:{(49,1),(59,1)}
       54:{3,5,6}:{(45,1),(59,1),(60,1)}
       55:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(48,1),(51,1),(60,1),(61,1)}
       56:{3,6,7}:{(48,1),(60,1)}
       57:{1,2,4,6}:{(49,1),(50,1),(59,1),(61,1)}
       58:{1,2,3,5,7}:{(50,1),(51,1),(52,1),(60,1),(61,1)}
       59:{3,4,6}:{(53,1),(54,1),(57,1),(62,1)}
       60:{3,5,7}:{(54,1),(55,1),(56,1),(62,1)}
       61:{1,2,4,7}:{(57,1),(58,1),(62,1)}
       62:{3,4,7}:{(59,1),(60,1),(61,1)}

2220 :  0:{1,2,3,4,6,7}:{(2,1),(9,1),(10,1),(29,1),(49,1),(50,1)}
        1:{1,2,3,5,6,7}:{(4,1),(5,1),(13,1),(14,1),(16,1),(39,1),(40,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(16,1),(39,1)}
        3:{1,2,4,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(25,1)}
        4:{1,2,4,6,7}:{(1,1),(8,1),(9,1),(10,1),(23,1),(24,1)}
        5:{1,2,3,5,6}:{(2,1),(10,1),(26,1),(47,1),(49,1)}
        6:{1,2,4,5,7}:{(2,1),(10,1),(11,1)}
        7:{3,5,6,7}:{(3,1),(12,1),(16,1)}
        8:{1,2,4,5,7}:{(4,1),(15,1),(16,1),(34,1),(35,1),(39,1)}
        9:{3,4,6,7}:{(4,1),(16,1),(19,1)}
       10:{1,2,4,6}:{(5,1),(6,1),(19,1)}
       11:{3,4,5,7}:{(6,1),(16,1),(19,1)}
       12:{3,4,6,7}:{(7,1),(22,1),(23,1),(24,1),(46,1)}
       13:{1,3,5,6,7}:{(7,1),(23,1),(25,1),(27,1),(46,1)}
       14:{2,3,5,6,7}:{(7,1),(24,1),(25,1),(28,1),(46,1)}
       15:{1,2,4,5,6}:{(8,1),(10,1),(26,1),(43,1),(44,1),(47,1)}
       16:{3,5,7}:{(8,1),(9,1),(26,1)}
       17:{1,3,4,6,7}:{(9,1),(23,1),(27,1),(29,1),(30,1),(46,1),(57,1)}
       18:{2,3,4,6,7}:{(9,1),(24,1),(28,1),(29,1),(31,1),(46,1),(57,1)}
       19:{3,4,6}:{(10,1),(11,1),(26,1)}
       20:{1,3,4,5,7}:{(11,1),(27,1),(30,1),(32,1),(57,1),(62,1)}
       21:{2,3,4,5,7}:{(11,1),(28,1),(31,1),(32,1),(57,1),(62,1)}
       22:{3,4,5,7}:{(12,1),(16,1),(33,1),(34,1),(35,1),(52,1)}
       23:{1,4,6,7}:{(12,1),(13,1),(34,1)}
       24:{2,4,6,7}:{(12,1),(14,1),(35,1)}
       25:{1,2,5,6,7}:{(13,1),(14,1),(36,1),(39,1)}
       26:{3,5,6}:{(15,1),(16,1),(19,1)}
       27:{1,3,5,7}:{(16,1),(17,1),(34,1),(37,1),(39,1),(52,1)}
       28:{2,3,5,7}:{(16,1),(18,1),(35,1),(38,1),(39,1),(52,1)}
       29:{1,2,4,6,7}:{(17,1),(18,1),(39,1),(40,1),(41,1),(54,1)}
       30:{1,3,4,6}:{(19,1),(20,1),(37,1),(41,1),(60,1)}
       31:{2,3,4,6}:{(19,1),(21,1),(38,1),(41,1),(60,1)}
       32:{1,2,4,5,7}:{(20,1),(21,1),(39,1),(41,1),(42,1),(54,1),(61,1)}
       33:{3,4,5,6}:{(22,1),(26,1),(43,1),(44,1),(56,1)}
       34:{1,4,5,7}:{(22,1),(23,1),(27,1),(43,1)}
       35:{2,4,5,7}:{(22,1),(24,1),(28,1),(44,1)}
       36:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(45,1),(46,1)}
       37:{1,3,5,6}:{(26,1),(27,1),(30,1),(43,1),(47,1),(56,1)}
       38:{2,3,5,6}:{(26,1),(28,1),(31,1),(44,1),(47,1),(56,1)}
       39:{1,2,5,7}:{(27,1),(28,1),(29,1),(47,1)}
       40:{1,2,3,6,7}:{(29,1),(46,1),(48,1),(49,1)}
       41:{1,2,4,6}:{(30,1),(31,1),(32,1),(47,1),(49,1)}
       42:{1,2,3,5,7}:{(32,1),(49,1),(50,1),(59,1)}
       43:{1,4,5,6}:{(33,1),(34,1),(37,1)}
       44:{2,4,5,6}:{(33,1),(35,1),(38,1)}
       45:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(39,1),(51,1),(52,1),(54,1)}
       46:{3,6,7}:{(36,1),(52,1)}
       47:{1,2,5,6}:{(37,1),(38,1),(39,1),(41,1)}
       48:{1,2,3,5,7}:{(39,1),(40,1),(52,1),(53,1),(54,1)}
       49:{1,2,3,6}:{(41,1),(42,1)}
       50:{1,2,3,4,7}:{(42,1),(54,1),(55,1)}
       51:{1,2,4,5,6}:{(43,1),(44,1),(45,1),(47,1),(56,1),(58,1)}
       52:{3,5,7}:{(45,1),(46,1),(56,1),(57,1)}
       53:{1,2,3,5,6}:{(47,1),(48,1),(49,1),(56,1),(58,1),(59,1)}
       54:{1,2,4,7}:{(48,1),(57,1),(58,1)}
       55:{1,2,3,4,6}:{(49,1),(50,1),(58,1),(59,1)}
       56:{3,5,6}:{(51,1),(52,1),(60,1)}
       57:{3,4,7}:{(52,1),(54,1),(60,1)}
       58:{1,2,4,6}:{(53,1),(54,1),(60,1),(61,1)}
       59:{1,2,3,5}:{(55,1),(61,1)}
       60:{3,4,6}:{(56,1),(57,1),(58,1),(62,1)}
       61:{1,2,4,5}:{(58,1),(59,1),(62,1)}
       62:{3,4,5}:{(60,1),(61,1)}

2221 :  0:{1,3,4,5,6}:{(3,1),(6,1),(30,1),(76,1),(80,1)}
        1:{2,3,4,5,6}:{(4,1),(7,1),(29,1),(76,1),(79,1)}
        2:{3,4,5,6,7}:{(8,1),(9,1),(33,1),(63,1)}
        3:{1,3,4,5,7}:{(0,1),(10,1),(13,1),(40,1),(63,1),(66,1)}
        4:{2,3,4,5,7}:{(1,1),(11,1),(14,1),(39,1),(63,1),(65,1)}
        5:{1,2,3,4,6,7}:{(15,1),(36,1),(42,1),(64,1),(68,1),(89,1)}
        6:{1,2,4,5,6}:{(0,1),(13,1),(16,1),(43,1),(85,1),(88,1)}
        7:{1,2,4,5,6}:{(1,1),(14,1),(17,1),(43,1),(86,1),(88,1)}
        8:{1,4,5,6,7}:{(2,1),(18,1),(75,1)}
        9:{2,4,5,6,7}:{(2,1),(19,1),(74,1)}
       10:{1,3,4,6,7}:{(3,1),(18,1),(21,1),(48,1)}
       11:{2,3,4,6,7}:{(4,1),(19,1),(22,1),(48,1)}
       12:{1,2,3,5,6,7}:{(23,1),(27,1),(46,1),(47,1),(49,1),(52,1),(78,1)}
       13:{1,2,4,5,7}:{(3,1),(6,1),(21,1),(24,1),(54,1),(74,1),(78,1)}
       14:{1,2,4,5,7}:{(4,1),(7,1),(22,1),(25,1),(54,1),(75,1),(78,1)}
       15:{1,2,3,5,7}:{(5,1),(26,1),(27,1),(52,1),(78,1)}
       16:{2,3,5,6}:{(6,1),(24,1),(29,1)}
       17:{1,3,5,6}:{(7,1),(25,1),(30,1)}
       18:{1,3,5,6,7}:{(8,1),(10,1),(31,1),(33,1),(66,1)}
       19:{2,3,5,6,7}:{(9,1),(11,1),(32,1),(33,1),(65,1)}
       20:{1,2,4,5,6,7}:{(8,1),(9,1),(31,1),(32,1),(33,1),(37,1),(61,1),(62,1),(84,1)}
       21:{1,2,4,6,7}:{(10,1),(13,1),(31,1),(34,1),(61,1)}
       22:{1,2,4,6,7}:{(11,1),(14,1),(32,1),(35,1),(62,1)}
       23:{1,2,4,6,7}:{(12,1),(36,1),(37,1),(42,1),(61,1),(62,1)}
       24:{2,3,5,7}:{(13,1),(16,1),(34,1),(39,1)}
       25:{1,3,5,7}:{(14,1),(17,1),(35,1),(40,1)}
       26:{1,2,4,5,7}:{(15,1),(41,1),(42,1)}
       27:{1,2,3,5,6}:{(15,1),(42,1),(67,1),(88,1),(89,1)}
       28:{1,2,3,5,6}:{(16,1),(17,1),(38,1),(43,1),(72,1),(88,1),(89,1)}
       29:{2,3,4,6}:{(16,1),(39,1),(43,1),(44,1)}
       30:{1,3,4,6}:{(17,1),(40,1),(43,1),(45,1)}
       31:{1,2,5,6,7}:{(18,1),(21,1),(46,1),(78,1)}
       32:{1,2,5,6,7}:{(19,1),(22,1),(47,1),(78,1)}
       33:{3,5,6,7}:{(20,1),(48,1),(52,1),(90,1)}
       34:{2,3,6,7}:{(21,1),(24,1)}
       35:{1,3,6,7}:{(22,1),(25,1)}
       36:{3,4,6,7}:{(23,1),(52,1),(57,1)}
       37:{1,2,4,5,7}:{(23,1),(52,1),(53,1),(74,1),(75,1),(78,1)}
       38:{1,2,3,5,7}:{(24,1),(25,1),(28,1),(49,1),(54,1),(78,1)}
       39:{2,3,4,7}:{(24,1),(29,1),(54,1)}
       40:{1,3,4,7}:{(25,1),(30,1),(54,1)}
       41:{3,4,5,7}:{(26,1),(52,1),(57,1)}
       42:{1,2,4,6}:{(26,1),(27,1),(57,1)}
       43:{1,2,4,6}:{(28,1),(29,1),(30,1),(54,1),(59,1)}
       44:{2,3,4,5}:{(29,1),(59,1)}
       45:{1,3,4,5}:{(30,1),(59,1)}
       46:{2,3,5,6,7}:{(31,1),(33,1),(34,1),(61,1),(65,1)}
       47:{1,3,5,6,7}:{(32,1),(33,1),(35,1),(62,1),(66,1)}
       48:{3,4,6,7}:{(33,1),(61,1),(62,1),(63,1)}
       49:{1,2,3,6,7}:{(34,1),(35,1),(38,1),(64,1),(89,1)}
       50:{2,3,4,6,7}:{(34,1),(36,1),(39,1),(61,1),(64,1),(65,1),(70,1),(83,1)}
       51:{1,3,4,6,7}:{(35,1),(36,1),(40,1),(62,1),(64,1),(66,1),(71,1),(83,1)}
       52:{3,5,7}:{(36,1),(37,1),(67,1)}
       53:{1,2,4,5,6}:{(37,1),(42,1),(67,1),(85,1),(86,1),(88,1)}
       54:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1)}
       55:{2,3,4,5,7}:{(39,1),(41,1),(44,1),(65,1),(69,1),(70,1),(94,1)}
       56:{1,3,4,5,7}:{(40,1),(41,1),(45,1),(66,1),(69,1),(71,1),(94,1)}
       57:{3,4,6}:{(41,1),(42,1),(67,1)}
       58:{1,2,3,4,6}:{(43,1),(68,1),(72,1),(89,1)}
       59:{1,2,4,5}:{(43,1),(44,1),(45,1),(72,1)}
       60:{1,2,3,5,6,7}:{(46,1),(47,1),(49,1),(73,1),(78,1),(90,1),(93,1)}
       61:{2,4,6,7}:{(46,1),(48,1),(74,1)}
       62:{1,4,6,7}:{(47,1),(48,1),(75,1)}
       63:{3,4,5,7}:{(48,1),(52,1),(74,1),(75,1),(76,1),(90,1)}
       64:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(54,1),(78,1),(82,1)}
       65:{2,3,5,7}:{(50,1),(52,1),(74,1),(78,1),(79,1),(90,1)}
       66:{1,3,5,7}:{(51,1),(52,1),(75,1),(78,1),(80,1),(90,1)}
       67:{3,5,6}:{(52,1),(53,1),(57,1)}
       68:{1,2,3,4,7}:{(54,1),(58,1),(81,1)}
       69:{1,2,4,5,7}:{(54,1),(55,1),(56,1),(59,1),(78,1),(81,1),(82,1)}
       70:{2,3,4,6}:{(55,1),(57,1),(79,1),(82,1),(97,1)}
       71:{1,3,4,6}:{(56,1),(57,1),(80,1),(82,1),(97,1)}
       72:{1,2,3,5}:{(58,1),(59,1)}
       73:{1,2,4,6,7}:{(60,1),(61,1),(62,1),(83,1),(84,1),(96,1)}
       74:{2,4,5,7}:{(61,1),(63,1),(65,1),(85,1)}
       75:{1,4,5,7}:{(62,1),(63,1),(66,1),(86,1)}
       76:{3,4,5,6}:{(63,1),(67,1),(85,1),(86,1),(95,1)}
       77:{1,2,3,4,6,7}:{(64,1),(68,1),(83,1),(87,1),(89,1),(96,1)}
       78:{1,2,5,7}:{(64,1),(65,1),(66,1),(88,1)}
       79:{2,3,5,6}:{(65,1),(67,1),(70,1),(85,1),(88,1),(95,1)}
       80:{1,3,5,6}:{(66,1),(67,1),(71,1),(86,1),(88,1),(95,1)}
       81:{1,2,3,5,7}:{(68,1),(69,1),(72,1),(89,1)}
       82:{1,2,4,6}:{(69,1),(70,1),(71,1),(88,1),(89,1)}
       83:{3,4,6,7}:{(73,1),(90,1),(97,1)}
       84:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(78,1),(90,1),(91,1)}
       85:{2,4,5,6}:{(74,1),(76,1),(79,1)}
       86:{1,4,5,6}:{(75,1),(76,1),(80,1)}
       87:{1,2,3,5,7}:{(77,1),(78,1),(90,1),(92,1),(93,1)}
       88:{1,2,5,6}:{(78,1),(79,1),(80,1),(82,1)}
       89:{1,2,3,6}:{(81,1),(82,1)}
       90:{3,5,7}:{(83,1),(84,1),(95,1)}
       91:{1,2,4,5,6}:{(84,1),(85,1),(86,1),(88,1),(95,1),(96,1)}
       92:{1,2,4,5,7}:{(87,1),(94,1),(96,1)}
       93:{1,2,3,5,6}:{(87,1),(88,1),(89,1),(95,1),(96,1)}
       94:{3,4,5,7}:{(90,1),(92,1),(97,1)}
       95:{3,5,6}:{(90,1),(91,1),(97,1)}
       96:{1,2,4,6}:{(92,1),(93,1),(97,1)}
       97:{3,4,6}:{(94,1),(95,1),(96,1)}

2222 :  0:{1,2,3,4,5,7}:{(1,1),(5,1),(21,1),(36,1)}
        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),(35,1),(36,1)}
        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),(18,1),(33,1),(35,1)}
        7:{3,4,5,6}:{(4,1),(12,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(12,1)}
        9:{1,2,4,6,7}:{(6,1),(8,1),(14,1)}
       10:{2,3,4,5,6}:{(7,1),(15,1),(16,1),(45,1)}
       11:{1,3,4,5,6}:{(7,1),(15,1),(17,1),(45,1)}
       12:{3,4,5,7}:{(7,1),(8,1),(14,1)}
       13:{1,2,4,5,6,7}:{(9,1),(18,1),(31,1),(32,1),(33,1)}
       14:{3,4,6,7}:{(9,1),(12,1),(18,1)}
       15:{1,2,4,5,6}:{(10,1),(11,1),(22,1),(23,1)}
       16:{2,3,4,5,7}:{(10,1),(12,1),(19,1),(23,1),(48,1)}
       17:{1,3,4,5,7}:{(11,1),(12,1),(20,1),(23,1),(48,1)}
       18:{3,5,6,7}:{(13,1),(14,1)}
       19:{2,3,4,6,7}:{(14,1),(16,1),(25,1),(28,1),(46,1)}
       20:{1,3,4,6,7}:{(14,1),(17,1),(26,1),(28,1),(46,1)}
       21:{1,2,3,4,5}:{(29,1)}
       22:{1,2,3,5,6}:{(15,1),(29,1),(30,1)}
       23:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(28,1),(30,1)}
       24:{3,4,5,6,7}:{(18,1),(31,1),(32,1),(41,1)}
       25:{2,3,5,6,7}:{(18,1),(19,1),(31,1),(33,1),(41,1)}
       26:{1,3,5,6,7}:{(18,1),(20,1),(32,1),(33,1),(41,1)}
       27:{1,2,3,4,5,7}:{(21,1),(34,1),(36,1),(44,1)}
       28:{1,2,4,6,7}:{(19,1),(20,1),(23,1),(33,1),(35,1)}
       29:{1,2,3,4,6}:{(21,1),(22,1),(36,1)}
       30:{1,2,3,5,7}:{(22,1),(23,1),(35,1),(36,1)}
       31:{2,4,5,6,7}:{(24,1),(25,1)}
       32:{1,4,5,6,7}:{(24,1),(26,1)}
       33:{1,2,5,6,7}:{(25,1),(26,1),(28,1)}
       34:{1,2,3,4,6}:{(27,1),(39,1)}
       35:{1,2,3,6,7}:{(28,1),(30,1)}
       36:{1,2,3,4,7}:{(29,1),(30,1)}
       37:{1,2,4,5,6,7}:{(31,1),(32,1),(33,1),(41,1),(43,1)}
       38:{1,2,3,5,6,7}:{(33,1),(35,1),(41,1),(43,1),(44,1)}
       39:{1,2,3,5,6}:{(34,1),(42,1),(44,1)}
       40:{1,2,3,4,6,7}:{(34,1),(35,1),(36,1),(43,1),(44,1)}
       41:{3,5,6,7}:{(37,1),(46,1)}
       42:{1,2,4,5,6}:{(39,1),(45,1),(47,1)}
       43:{1,2,4,6,7}:{(38,1),(46,1),(47,1)}
       44:{1,2,3,5,7}:{(39,1),(40,1),(47,1)}
       45:{3,4,5,6}:{(42,1),(48,1)}
       46:{3,4,6,7}:{(41,1),(43,1),(48,1)}
       47:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(48,1)}
       48:{3,4,5,7}:{(45,1),(46,1),(47,1)}

2223 :  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:{3,4,5,6}:{(4,1),(9,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,2,3,6,7}:{(5,1),(10,1)}
        9:{3,4,5,7}:{(6,1),(7,1),(11,1)}
       10:{1,2,4,6,7}:{(7,1),(8,1),(11,1),(12,1)}
       11:{3,4,6,7}:{(9,1),(10,1),(13,1)}
       12:{1,2,5,6,7}:{(10,1),(13,1)}
       13:{3,5,6,7}:{(11,1),(12,1),(14,1)}
       14:{4,5,6,7}:{(13,1)}

2224 :  0:{2,3,4,5,7}:{(3,1),(4,1),(17,1),(39,1),(65,1)}
        1:{1,3,4,5,7}:{(3,1),(5,1),(19,1),(39,1),(65,1)}
        2:{1,2,3,4,7}:{(6,1),(7,1),(51,1),(83,1)}
        3:{1,2,4,5,7}:{(0,1),(1,1),(6,1),(8,1),(25,1),(26,1),(51,1)}
        4:{2,3,4,6}:{(0,1),(8,1),(10,1),(52,1)}
        5:{1,3,4,6}:{(1,1),(8,1),(12,1),(52,1)}
        6:{1,2,3,5,7}:{(2,1),(3,1),(13,1),(14,1)}
        7:{1,2,3,4,6}:{(2,1),(13,1),(14,1),(38,1),(81,1),(82,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(5,1),(13,1),(16,1)}
        9:{2,3,4,6,7}:{(4,1),(15,1),(17,1),(35,1),(62,1),(65,1)}
       10:{2,3,5,6}:{(4,1),(16,1),(17,1),(18,1),(41,1)}
       11:{1,3,4,6,7}:{(5,1),(15,1),(19,1),(36,1),(62,1),(65,1)}
       12:{1,3,5,6}:{(5,1),(16,1),(19,1),(20,1),(41,1)}
       13:{1,2,3,6}:{(6,1),(8,1)}
       14:{1,2,3,5}:{(7,1),(25,1)}
       15:{1,2,4,6,7}:{(8,1),(9,1),(11,1),(23,1),(26,1),(51,1)}
       16:{1,2,5,6}:{(8,1),(10,1),(12,1),(26,1)}
       17:{2,3,5,7}:{(9,1),(10,1),(26,1),(28,1),(55,1)}
       18:{2,4,5,6}:{(10,1),(28,1),(29,1)}
       19:{1,3,5,7}:{(11,1),(12,1),(26,1),(30,1),(55,1)}
       20:{1,4,5,6}:{(12,1),(30,1),(31,1)}
       21:{2,3,5,6,7}:{(17,1),(34,1),(35,1),(46,1),(62,1)}
       22:{1,3,5,6,7}:{(19,1),(34,1),(36,1),(47,1),(62,1)}
       23:{1,2,3,6,7}:{(13,1),(15,1),(37,1),(62,1),(79,1)}
       24:{1,2,3,5,6}:{(13,1),(14,1),(16,1),(37,1),(38,1),(41,1),(71,1),(81,1)}
       25:{1,2,4,5}:{(14,1),(38,1),(39,1)}
       26:{1,2,5,7}:{(15,1),(16,1),(17,1),(19,1)}
       27:{1,2,4,5,6}:{(16,1),(18,1),(20,1),(38,1),(40,1),(41,1),(43,1),(45,1),(71,1)}
       28:{2,4,5,7}:{(17,1),(18,1),(35,1),(42,1)}
       29:{3,4,5,6}:{(18,1),(41,1),(42,1),(43,1)}
       30:{1,4,5,7}:{(19,1),(20,1),(36,1),(44,1)}
       31:{3,4,5,6}:{(20,1),(41,1),(44,1),(45,1)}
       32:{2,4,5,6,7}:{(35,1),(46,1)}
       33:{1,4,5,6,7}:{(36,1),(47,1)}
       34:{1,2,5,6,7}:{(21,1),(22,1),(26,1),(48,1),(60,1),(61,1)}
       35:{2,4,6,7}:{(21,1),(28,1),(49,1)}
       36:{1,4,6,7}:{(22,1),(30,1),(50,1)}
       37:{1,2,3,5,7}:{(23,1),(24,1),(26,1),(51,1),(55,1),(78,1),(83,1)}
       38:{1,2,4,6}:{(24,1),(25,1),(51,1),(52,1)}
       39:{3,4,5}:{(25,1),(52,1)}
       40:{1,2,4,5,7}:{(26,1),(27,1),(28,1),(30,1),(48,1),(51,1),(55,1),(58,1),(59,1),(78,1)}
       41:{3,5,6}:{(27,1),(52,1),(55,1)}
       42:{3,4,5,7}:{(28,1),(29,1),(49,1),(55,1),(58,1)}
       43:{1,4,5,6}:{(29,1),(56,1),(58,1)}
       44:{3,4,5,7}:{(30,1),(31,1),(50,1),(55,1),(59,1)}
       45:{2,4,5,6}:{(31,1),(57,1),(59,1)}
       46:{3,5,6,7}:{(32,1),(49,1),(60,1)}
       47:{3,5,6,7}:{(33,1),(50,1),(61,1)}
       48:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(40,1),(62,1),(63,1),(64,1),(79,1)}
       49:{3,4,6,7}:{(35,1),(42,1),(46,1),(62,1),(63,1)}
       50:{3,4,6,7}:{(36,1),(44,1),(47,1),(62,1),(64,1)}
       51:{1,2,4,7}:{(37,1),(38,1),(65,1)}
       52:{3,4,6}:{(38,1),(39,1),(41,1),(65,1)}
       53:{1,3,4,5}:{(39,1),(66,1),(68,1)}
       54:{2,3,4,5}:{(39,1),(67,1),(68,1)}
       55:{3,5,7}:{(40,1),(41,1),(62,1),(65,1)}
       56:{1,3,5,6}:{(41,1),(43,1),(66,1),(69,1),(71,1)}
       57:{2,3,5,6}:{(41,1),(45,1),(67,1),(70,1),(71,1)}
       58:{1,4,5,7}:{(42,1),(43,1),(63,1),(69,1)}
       59:{2,4,5,7}:{(44,1),(45,1),(64,1),(70,1)}
       60:{1,5,6,7}:{(46,1),(63,1)}
       61:{2,5,6,7}:{(47,1),(64,1)}
       62:{3,6,7}:{(48,1),(55,1)}
       63:{1,4,6,7}:{(49,1),(58,1),(60,1),(72,1)}
       64:{2,4,6,7}:{(50,1),(59,1),(61,1),(73,1)}
       65:{3,4,7}:{(51,1),(52,1),(55,1)}
       66:{1,3,4,6}:{(52,1),(53,1),(56,1),(74,1),(76,1)}
       67:{2,3,4,6}:{(52,1),(54,1),(57,1),(75,1),(76,1)}
       68:{1,2,4,5}:{(53,1),(54,1),(76,1),(77,1)}
       69:{1,3,5,7}:{(55,1),(56,1),(58,1),(72,1),(74,1),(78,1)}
       70:{2,3,5,7}:{(55,1),(57,1),(59,1),(73,1),(75,1),(78,1)}
       71:{1,2,5,6}:{(56,1),(57,1),(76,1),(78,1)}
       72:{1,3,6,7}:{(62,1),(63,1),(69,1),(79,1)}
       73:{2,3,6,7}:{(62,1),(64,1),(70,1),(79,1)}
       74:{1,3,4,7}:{(65,1),(66,1),(69,1),(80,1)}
       75:{2,3,4,7}:{(65,1),(67,1),(70,1),(80,1)}
       76:{1,2,4,6}:{(66,1),(67,1),(68,1),(71,1),(80,1),(81,1)}
       77:{1,2,3,5}:{(68,1),(81,1),(82,1)}
       78:{1,2,5,7}:{(69,1),(70,1),(71,1),(79,1),(80,1)}
       79:{1,2,6,7}:{(72,1),(73,1),(78,1)}
       80:{1,2,4,7}:{(74,1),(75,1),(76,1),(78,1),(83,1)}
       81:{1,2,3,6}:{(76,1),(77,1),(83,1)}
       82:{1,2,3,4}:{(77,1)}
       83:{1,2,3,7}:{(80,1),(81,1)}

2225 :  0:{1,2,3,4,7}:{(1,1),(2,1),(29,1),(82,1)}
        1:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        2:{1,2,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(75,1),(76,1)}
        3:{1,3,4,5,7}:{(5,1),(8,1),(22,1),(23,1),(44,1)}
        4:{2,3,4,5,7}:{(5,1),(9,1),(22,1),(25,1),(44,1)}
        5:{1,2,4,5,7}:{(1,1),(3,1),(4,1),(10,1),(13,1),(27,1),(29,1)}
        6:{1,2,3,6}:{(1,1),(10,1)}
        7:{1,2,3,5}:{(2,1),(13,1)}
        8:{1,3,4,6}:{(3,1),(10,1),(15,1),(30,1)}
        9:{2,3,4,6}:{(4,1),(10,1),(17,1),(30,1)}
       10:{1,2,4,6}:{(5,1),(6,1),(8,1),(9,1),(19,1)}
       11:{1,2,3,6,7}:{(6,1),(18,1),(20,1),(70,1),(83,1)}
       12:{1,2,3,5,6}:{(6,1),(7,1),(19,1),(20,1),(21,1),(43,1),(73,1),(75,1)}
       13:{1,2,4,5}:{(7,1),(21,1),(22,1)}
       14:{1,3,4,6,7}:{(8,1),(18,1),(23,1),(44,1),(48,1),(70,1)}
       15:{1,3,5,6}:{(8,1),(19,1),(23,1),(24,1),(43,1)}
       16:{2,3,4,6,7}:{(9,1),(18,1),(25,1),(44,1),(51,1),(70,1)}
       17:{2,3,5,6}:{(9,1),(19,1),(25,1),(26,1),(43,1)}
       18:{1,2,4,6,7}:{(10,1),(11,1),(14,1),(16,1),(27,1),(29,1)}
       19:{1,2,5,6}:{(10,1),(15,1),(17,1),(27,1)}
       20:{1,2,3,5,7}:{(11,1),(12,1),(27,1),(29,1),(57,1),(81,1),(82,1)}
       21:{1,2,4,6}:{(12,1),(13,1),(29,1),(30,1)}
       22:{3,4,5}:{(13,1),(30,1)}
       23:{1,3,5,7}:{(14,1),(15,1),(27,1),(34,1),(57,1)}
       24:{1,4,5,6}:{(15,1),(34,1),(35,1)}
       25:{2,3,5,7}:{(16,1),(17,1),(27,1),(37,1),(57,1)}
       26:{2,4,5,6}:{(17,1),(37,1),(38,1)}
       27:{1,2,5,7}:{(18,1),(19,1),(23,1),(25,1)}
       28:{1,2,4,5,6}:{(19,1),(21,1),(24,1),(26,1),(42,1),(43,1),(50,1),(53,1),(73,1)}
       29:{1,2,4,7}:{(20,1),(21,1),(44,1)}
       30:{3,4,6}:{(21,1),(22,1),(43,1),(44,1)}
       31:{1,3,4,5}:{(22,1),(45,1),(47,1)}
       32:{2,3,4,5}:{(22,1),(46,1),(47,1)}
       33:{1,3,5,6,7}:{(23,1),(41,1),(48,1),(55,1),(70,1)}
       34:{1,4,5,7}:{(23,1),(24,1),(48,1),(49,1)}
       35:{3,4,5,6}:{(24,1),(43,1),(49,1),(50,1)}
       36:{2,3,5,6,7}:{(25,1),(41,1),(51,1),(54,1),(70,1)}
       37:{2,4,5,7}:{(25,1),(26,1),(51,1),(52,1)}
       38:{3,4,5,6}:{(26,1),(43,1),(52,1),(53,1)}
       39:{2,4,5,6,7}:{(51,1),(54,1)}
       40:{1,4,5,6,7}:{(48,1),(55,1)}
       41:{1,2,5,6,7}:{(27,1),(33,1),(36,1),(56,1),(68,1),(69,1)}
       42:{1,2,4,5,7}:{(27,1),(28,1),(29,1),(34,1),(37,1),(56,1),(57,1),(65,1),(67,1),(81,1)}
       43:{3,5,6}:{(28,1),(30,1),(57,1)}
       44:{3,4,7}:{(29,1),(30,1),(57,1)}
       45:{1,3,4,6}:{(30,1),(31,1),(58,1),(60,1),(62,1)}
       46:{2,3,4,6}:{(30,1),(32,1),(59,1),(61,1),(62,1)}
       47:{1,2,4,5}:{(31,1),(32,1),(62,1),(63,1)}
       48:{1,4,6,7}:{(33,1),(34,1),(64,1)}
       49:{3,4,5,7}:{(34,1),(35,1),(57,1),(64,1),(65,1)}
       50:{2,4,5,6}:{(35,1),(59,1),(65,1)}
       51:{2,4,6,7}:{(36,1),(37,1),(66,1)}
       52:{3,4,5,7}:{(37,1),(38,1),(57,1),(66,1),(67,1)}
       53:{1,4,5,6}:{(38,1),(58,1),(67,1)}
       54:{3,5,6,7}:{(39,1),(66,1),(68,1)}
       55:{3,5,6,7}:{(40,1),(64,1),(69,1)}
       56:{1,2,4,6,7}:{(41,1),(42,1),(48,1),(51,1),(70,1),(77,1),(78,1),(83,1)}
       57:{3,5,7}:{(42,1),(43,1),(44,1),(70,1)}
       58:{1,3,5,6}:{(43,1),(45,1),(53,1),(71,1),(73,1)}
       59:{2,3,5,6}:{(43,1),(46,1),(50,1),(72,1),(73,1)}
       60:{1,3,4,7}:{(44,1),(45,1),(71,1),(74,1)}
       61:{2,3,4,7}:{(44,1),(46,1),(72,1),(74,1)}
       62:{1,2,4,6}:{(45,1),(46,1),(47,1),(73,1),(74,1),(75,1)}
       63:{1,2,3,5}:{(47,1),(75,1),(76,1)}
       64:{3,4,6,7}:{(48,1),(49,1),(55,1),(70,1),(77,1)}
       65:{2,4,5,7}:{(49,1),(50,1),(72,1),(77,1)}
       66:{3,4,6,7}:{(51,1),(52,1),(54,1),(70,1),(78,1)}
       67:{1,4,5,7}:{(52,1),(53,1),(71,1),(78,1)}
       68:{1,5,6,7}:{(54,1),(78,1)}
       69:{2,5,6,7}:{(55,1),(77,1)}
       70:{3,6,7}:{(56,1),(57,1)}
       71:{1,3,5,7}:{(57,1),(58,1),(60,1),(67,1),(79,1),(81,1)}
       72:{2,3,5,7}:{(57,1),(59,1),(61,1),(65,1),(80,1),(81,1)}
       73:{1,2,5,6}:{(58,1),(59,1),(62,1),(81,1)}
       74:{1,2,4,7}:{(60,1),(61,1),(62,1),(81,1),(82,1)}
       75:{1,2,3,6}:{(62,1),(63,1),(82,1)}
       76:{1,2,3,4}:{(63,1)}
       77:{2,4,6,7}:{(64,1),(65,1),(69,1),(80,1)}
       78:{1,4,6,7}:{(66,1),(67,1),(68,1),(79,1)}
       79:{1,3,6,7}:{(70,1),(71,1),(78,1),(83,1)}
       80:{2,3,6,7}:{(70,1),(72,1),(77,1),(83,1)}
       81:{1,2,5,7}:{(71,1),(72,1),(73,1),(74,1),(83,1)}
       82:{1,2,3,7}:{(74,1),(75,1)}
       83:{1,2,6,7}:{(79,1),(80,1),(81,1)}

2226 :   0:{1,2,3,5,6,7}:{(3,1),(19,1),(25,1),(33,1),(66,1),(67,1),(68,1),(69,1),(76,1),(78,1),(86,1),(88,1),(122,1),(126,1),(132,1)}
         1:{1,2,4,5,6,7}:{(4,1),(18,1),(23,1),(24,1),(25,1),(75,1)}
         2:{1,2,4,5,6,7}:{(5,1),(18,1),(31,1),(32,1),(33,1),(85,1)}
         3:{1,2,4,6,7}:{(0,1),(6,1),(7,1),(93,1),(94,1),(106,1),(114,1),(143,1),(146,1),(150,1)}
         4:{3,5,6,7}:{(1,1),(8,1),(39,1),(104,1)}
         5:{3,5,6,7}:{(2,1),(13,1),(39,1),(112,1)}
         6:{1,2,4,5,7}:{(3,1),(18,1),(19,1),(64,1),(65,1),(68,1),(159,1)}
         7:{3,4,6,7}:{(3,1),(19,1),(63,1),(76,1),(86,1),(128,1),(134,1),(158,1)}
         8:{3,4,6,7}:{(4,1),(22,1),(23,1),(24,1),(63,1),(76,1),(128,1)}
         9:{1,3,5,6,7}:{(4,1),(23,1),(25,1),(26,1),(66,1),(76,1),(126,1)}
        10:{2,3,5,6,7}:{(4,1),(24,1),(25,1),(67,1),(71,1),(76,1),(78,1)}
        11:{1,3,4,6,7}:{(23,1),(26,1),(27,1),(28,1),(76,1),(128,1)}
        12:{1,3,4,5,7}:{(26,1),(28,1),(29,1),(64,1),(90,1),(121,1),(128,1),(136,1),(161,1)}
        13:{3,4,6,7}:{(5,1),(30,1),(31,1),(32,1),(63,1),(86,1),(134,1)}
        14:{1,3,5,6,7}:{(5,1),(31,1),(33,1),(66,1),(81,1),(86,1),(88,1)}
        15:{2,3,5,6,7}:{(5,1),(32,1),(33,1),(34,1),(67,1),(86,1),(132,1)}
        16:{2,3,4,6,7}:{(32,1),(34,1),(35,1),(36,1),(86,1),(134,1)}
        17:{2,3,4,5,7}:{(34,1),(36,1),(37,1),(65,1),(80,1),(121,1),(130,1),(134,1),(163,1)}
        18:{1,2,4,5,6}:{(6,1),(39,1),(93,1),(94,1),(96,1)}
        19:{3,5,7}:{(6,1),(7,1),(39,1),(168,1)}
        20:{1,3,4,6,7}:{(7,1),(40,1),(42,1),(60,1),(93,1),(102,1),(114,1),(115,1),(141,1),(142,1),(146,1),(167,1)}
        21:{2,3,4,6,7}:{(7,1),(41,1),(42,1),(50,1),(94,1),(106,1),(107,1),(110,1),(141,1),(142,1),(150,1),(166,1)}
        22:{3,4,5,7}:{(8,1),(44,1),(45,1),(46,1),(104,1)}
        23:{1,4,6,7}:{(8,1),(9,1),(45,1),(93,1),(146,1)}
        24:{2,4,6,7}:{(8,1),(10,1),(46,1),(94,1),(106,1)}
        25:{1,2,5,6,7}:{(9,1),(10,1),(47,1),(49,1),(96,1),(101,1)}
        26:{1,3,5,7}:{(11,1),(45,1),(48,1),(49,1),(104,1)}
        27:{1,2,4,6,7}:{(11,1),(49,1),(50,1),(51,1),(106,1)}
        28:{1,3,4,6}:{(12,1),(48,1),(51,1),(93,1),(141,1),(147,1)}
        29:{1,2,4,5,7}:{(12,1),(49,1),(51,1),(52,1),(99,1),(106,1),(144,1),(148,1)}
        30:{3,4,5,7}:{(13,1),(54,1),(55,1),(56,1),(112,1)}
        31:{1,4,6,7}:{(13,1),(14,1),(55,1),(93,1),(114,1)}
        32:{2,4,6,7}:{(13,1),(15,1),(56,1),(94,1),(150,1)}
        33:{1,2,5,6,7}:{(14,1),(15,1),(57,1),(59,1),(96,1),(109,1)}
        34:{2,3,5,7}:{(16,1),(56,1),(58,1),(59,1),(112,1)}
        35:{1,2,4,6,7}:{(16,1),(59,1),(60,1),(61,1),(114,1)}
        36:{2,3,4,6}:{(17,1),(58,1),(61,1),(94,1),(141,1),(151,1)}
        37:{1,2,4,5,7}:{(17,1),(59,1),(61,1),(62,1),(99,1),(114,1),(144,1),(152,1)}
        38:{3,4,5,7}:{(19,1),(63,1),(64,1),(65,1),(121,1),(128,1),(134,1),(161,1),(163,1)}
        39:{3,5,6}:{(18,1),(19,1),(63,1)}
        40:{1,3,5,7}:{(19,1),(20,1),(64,1),(66,1),(68,1),(121,1),(136,1),(173,1)}
        41:{2,3,5,7}:{(19,1),(21,1),(65,1),(67,1),(68,1),(121,1),(130,1),(172,1)}
        42:{1,2,4,6,7}:{(20,1),(21,1),(68,1),(69,1),(120,1),(123,1),(124,1),(171,1)}
        43:{2,3,4,6,7}:{(24,1),(71,1),(72,1),(76,1),(118,1),(128,1)}
        44:{3,4,5,6}:{(22,1),(63,1),(73,1),(74,1),(127,1),(163,1)}
        45:{1,4,5,7}:{(22,1),(23,1),(26,1),(73,1)}
        46:{2,4,5,7}:{(22,1),(24,1),(71,1),(74,1)}
        47:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(75,1),(76,1),(120,1)}
        48:{1,3,5,6}:{(26,1),(28,1),(73,1),(77,1),(127,1),(136,1)}
        49:{1,2,5,7}:{(26,1),(27,1),(77,1),(78,1)}
        50:{2,3,6,7}:{(27,1),(76,1),(78,1),(79,1)}
        51:{1,2,4,6}:{(28,1),(29,1),(77,1),(79,1),(129,1)}
        52:{2,3,5,7}:{(29,1),(79,1),(80,1),(121,1),(130,1)}
        53:{1,3,4,6,7}:{(31,1),(81,1),(82,1),(86,1),(116,1),(134,1)}
        54:{3,4,5,6}:{(30,1),(63,1),(83,1),(84,1),(133,1),(161,1)}
        55:{1,4,5,7}:{(30,1),(31,1),(81,1),(83,1)}
        56:{2,4,5,7}:{(30,1),(32,1),(34,1),(84,1)}
        57:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(85,1),(86,1),(120,1)}
        58:{2,3,5,6}:{(34,1),(36,1),(84,1),(87,1),(130,1),(133,1)}
        59:{1,2,5,7}:{(34,1),(35,1),(87,1),(88,1)}
        60:{1,3,6,7}:{(35,1),(86,1),(88,1),(89,1)}
        61:{1,2,4,6}:{(36,1),(37,1),(87,1),(89,1),(135,1)}
        62:{1,3,5,7}:{(37,1),(89,1),(90,1),(121,1),(136,1)}
        63:{3,4,6}:{(38,1),(39,1),(93,1),(94,1),(141,1)}
        64:{1,4,5,7}:{(38,1),(40,1),(93,1),(114,1),(146,1),(152,1),(169,1)}
        65:{2,4,5,7}:{(38,1),(41,1),(94,1),(106,1),(148,1),(150,1),(170,1)}
        66:{1,3,5,6}:{(39,1),(40,1),(93,1),(96,1),(141,1)}
        67:{2,3,5,6}:{(39,1),(41,1),(94,1),(96,1),(141,1)}
        68:{1,2,5,7}:{(40,1),(41,1),(42,1),(96,1),(144,1),(174,1)}
        69:{1,2,3,6,7}:{(42,1),(50,1),(60,1),(97,1),(98,1),(102,1),(110,1),(141,1),(164,1)}
        70:{1,2,3,5,7}:{(52,1),(62,1),(98,1),(99,1),(144,1)}
        71:{2,3,5,7}:{(43,1),(46,1),(100,1),(101,1),(104,1)}
        72:{1,2,4,6,7}:{(43,1),(101,1),(102,1),(139,1),(146,1)}
        73:{1,4,5,6}:{(44,1),(45,1),(48,1),(93,1),(152,1)}
        74:{2,4,5,6}:{(44,1),(46,1),(94,1),(100,1),(170,1)}
        75:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(49,1),(101,1),(103,1),(104,1),(106,1),(146,1)}
        76:{3,6,7}:{(47,1),(104,1),(141,1)}
        77:{1,2,5,6}:{(48,1),(49,1),(51,1),(105,1),(144,1)}
        78:{2,3,5,7}:{(49,1),(50,1),(104,1),(105,1),(106,1)}
        79:{2,3,6}:{(51,1),(52,1),(141,1)}
        80:{2,3,4,7}:{(52,1),(99,1),(106,1),(107,1),(142,1)}
        81:{1,3,5,7}:{(53,1),(55,1),(108,1),(109,1),(112,1)}
        82:{1,2,4,6,7}:{(53,1),(109,1),(110,1),(137,1),(150,1)}
        83:{1,4,5,6}:{(54,1),(55,1),(93,1),(108,1),(169,1)}
        84:{2,4,5,6}:{(54,1),(56,1),(58,1),(94,1),(148,1)}
        85:{1,2,4,5,7}:{(55,1),(56,1),(57,1),(59,1),(109,1),(111,1),(112,1),(114,1),(150,1)}
        86:{3,6,7}:{(57,1),(112,1),(141,1)}
        87:{1,2,5,6}:{(58,1),(59,1),(61,1),(113,1),(144,1)}
        88:{1,3,5,7}:{(59,1),(60,1),(112,1),(113,1),(114,1)}
        89:{1,3,6}:{(61,1),(62,1),(141,1)}
        90:{1,3,4,7}:{(62,1),(99,1),(114,1),(115,1),(142,1)}
        91:{1,3,4,5,7}:{(64,1),(81,1),(116,1),(117,1),(121,1),(134,1),(157,1),(163,1),(173,1)}
        92:{2,3,4,5,7}:{(65,1),(71,1),(118,1),(119,1),(121,1),(128,1),(155,1),(161,1),(172,1)}
        93:{1,4,6}:{(63,1),(64,1),(66,1)}
        94:{2,4,6}:{(63,1),(65,1),(67,1)}
        95:{1,2,4,5,7}:{(64,1),(65,1),(68,1),(120,1),(121,1),(123,1),(159,1)}
        96:{1,2,5,6}:{(66,1),(67,1),(68,1),(120,1)}
        97:{1,2,3,5,7}:{(68,1),(69,1),(78,1),(88,1),(121,1),(122,1),(123,1),(126,1),(132,1)}
        98:{1,2,3,6}:{(70,1),(79,1),(89,1),(124,1)}
        99:{1,2,4,7}:{(70,1),(80,1),(90,1),(124,1)}
       100:{2,3,5,6}:{(71,1),(74,1),(118,1),(125,1),(127,1),(172,1)}
       101:{1,2,5,7}:{(71,1),(72,1),(125,1),(126,1)}
       102:{1,3,6,7}:{(72,1),(76,1),(126,1),(156,1)}
       103:{1,2,4,5,6}:{(73,1),(74,1),(75,1),(77,1),(120,1),(125,1),(127,1),(129,1),(159,1),(160,1)}
       104:{3,5,7}:{(75,1),(76,1),(127,1),(128,1)}
       105:{2,3,5,6}:{(77,1),(78,1),(79,1),(127,1),(129,1),(130,1)}
       106:{2,4,7}:{(78,1),(128,1),(129,1)}
       107:{2,3,4,6}:{(79,1),(80,1),(124,1),(129,1),(130,1),(158,1)}
       108:{1,3,5,6}:{(81,1),(83,1),(116,1),(131,1),(133,1),(173,1)}
       109:{1,2,5,7}:{(81,1),(82,1),(131,1),(132,1)}
       110:{2,3,6,7}:{(82,1),(86,1),(132,1),(154,1)}
       111:{1,2,4,5,6}:{(83,1),(84,1),(85,1),(87,1),(120,1),(131,1),(133,1),(135,1),(159,1),(162,1)}
       112:{3,5,7}:{(85,1),(86,1),(133,1),(134,1)}
       113:{1,3,5,6}:{(87,1),(88,1),(89,1),(133,1),(135,1),(136,1)}
       114:{1,4,7}:{(88,1),(134,1),(135,1)}
       115:{1,3,4,6}:{(89,1),(90,1),(124,1),(135,1),(136,1),(158,1)}
       116:{1,3,4,6}:{(91,1),(93,1),(108,1),(137,1),(141,1),(151,1)}
       117:{1,2,4,5,7}:{(91,1),(109,1),(137,1),(138,1),(150,1),(165,1),(170,1),(174,1)}
       118:{2,3,4,6}:{(92,1),(94,1),(100,1),(139,1),(141,1),(147,1)}
       119:{1,2,4,5,7}:{(92,1),(101,1),(139,1),(140,1),(146,1),(165,1),(169,1),(174,1)}
       120:{1,2,4,6}:{(93,1),(94,1),(95,1),(96,1),(141,1)}
       121:{3,5,7}:{(95,1),(141,1),(142,1),(168,1)}
       122:{1,2,3,5,6}:{(96,1),(97,1),(98,1),(105,1),(113,1),(141,1),(143,1),(144,1),(145,1),(149,1),(164,1),(168,1),(174,1)}
       123:{1,2,4,7}:{(97,1),(106,1),(114,1),(142,1),(143,1),(146,1),(150,1)}
       124:{1,2,4,6}:{(98,1),(99,1),(107,1),(115,1),(144,1)}
       125:{1,2,5,6}:{(100,1),(101,1),(139,1),(145,1),(174,1)}
       126:{1,3,5,7}:{(101,1),(102,1),(104,1),(145,1),(146,1)}
       127:{3,5,6}:{(103,1),(104,1),(141,1),(147,1),(168,1)}
       128:{3,4,7}:{(104,1),(106,1),(146,1),(147,1)}
       129:{2,4,6}:{(105,1),(106,1),(147,1),(148,1)}
       130:{2,3,5}:{(107,1),(144,1),(148,1),(168,1)}
       131:{1,2,5,6}:{(108,1),(109,1),(137,1),(149,1),(174,1)}
       132:{2,3,5,7}:{(109,1),(110,1),(112,1),(149,1),(150,1)}
       133:{3,5,6}:{(111,1),(112,1),(141,1),(151,1),(168,1)}
       134:{3,4,7}:{(112,1),(114,1),(150,1),(151,1)}
       135:{1,4,6}:{(113,1),(114,1),(151,1),(152,1)}
       136:{1,3,5}:{(115,1),(144,1),(152,1),(168,1)}
       137:{1,2,4,6}:{(116,1),(117,1),(131,1),(154,1),(162,1)}
       138:{2,3,5,7}:{(117,1),(121,1),(154,1),(155,1),(172,1)}
       139:{1,2,4,6}:{(118,1),(119,1),(125,1),(156,1),(160,1)}
       140:{1,3,5,7}:{(119,1),(121,1),(156,1),(157,1),(173,1)}
       141:{3,6}:{(120,1),(121,1)}
       142:{3,4,7}:{(121,1),(123,1),(158,1)}
       143:{1,2,4,6}:{(122,1),(123,1),(129,1),(135,1),(158,1),(159,1),(160,1),(162,1)}
       144:{1,2,5}:{(124,1),(130,1),(136,1)}
       145:{1,3,5,6}:{(125,1),(126,1),(127,1),(156,1),(160,1),(173,1)}
       146:{1,4,7}:{(126,1),(128,1),(160,1)}
       147:{3,4,6}:{(127,1),(128,1),(129,1),(160,1),(161,1)}
       148:{2,4,5}:{(129,1),(130,1),(161,1)}
       149:{2,3,5,6}:{(131,1),(132,1),(133,1),(154,1),(162,1),(172,1)}
       150:{2,4,7}:{(132,1),(134,1),(162,1)}
       151:{3,4,6}:{(133,1),(134,1),(135,1),(162,1),(163,1)}
       152:{1,4,5}:{(135,1),(136,1),(163,1)}
       153:{1,2,3,5,7}:{(138,1),(140,1),(164,1),(165,1),(174,1)}
       154:{2,3,6}:{(137,1),(138,1),(141,1)}
       155:{2,3,4,7}:{(138,1),(142,1),(150,1),(165,1),(166,1)}
       156:{1,3,6}:{(139,1),(140,1),(141,1)}
       157:{1,3,4,7}:{(140,1),(142,1),(146,1),(165,1),(167,1)}
       158:{3,4,6}:{(141,1),(142,1),(143,1),(168,1)}
       159:{1,2,4,5}:{(143,1),(144,1),(148,1),(152,1),(168,1),(169,1),(170,1),(174,1)}
       160:{1,4,6}:{(145,1),(146,1),(147,1),(169,1)}
       161:{3,4,5}:{(147,1),(148,1),(168,1),(169,1)}
       162:{2,4,6}:{(149,1),(150,1),(151,1),(170,1)}
       163:{3,4,5}:{(151,1),(152,1),(168,1),(170,1)}
       164:{1,2,3,6}:{(153,1),(154,1),(156,1),(171,1)}
       165:{1,2,4,7}:{(153,1),(155,1),(157,1),(171,1)}
       166:{2,3,4,6}:{(154,1),(155,1),(158,1),(162,1),(171,1),(172,1)}
       167:{1,3,4,6}:{(156,1),(157,1),(158,1),(160,1),(171,1),(173,1)}
       168:{3,5}:{(158,1),(159,1)}
       169:{1,4,5}:{(160,1),(161,1),(173,1)}
       170:{2,4,5}:{(162,1),(163,1),(172,1)}
       171:{1,2,4,6}:{(164,1),(165,1),(166,1),(167,1),(174,1)}
       172:{2,3,5}:{(166,1),(168,1),(170,1),(174,1)}
       173:{1,3,5}:{(167,1),(168,1),(169,1),(174,1)}
       174:{1,2,5}:{(171,1),(172,1),(173,1)}

2227 :  0:{1,2,3,4,6,7}:{(1,1),(4,1),(6,1),(17,1),(21,1),(41,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(32,1),(51,1)}
        2:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,5,6}:{(1,1),(6,1),(17,1),(20,1),(40,1)}
        4:{1,2,3,4,7}:{(8,1),(9,1),(47,1)}
        5:{3,4,5,7}:{(2,1),(12,1),(32,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(12,1)}
        7:{1,2,3,5,6,7}:{(3,1),(14,1),(27,1),(32,1),(51,1),(52,1),(53,1)}
        8:{1,2,3,4,6}:{(4,1),(15,1),(17,1),(35,1)}
        9:{1,2,3,5,7}:{(4,1),(15,1),(16,1),(17,1)}
       10:{1,3,4,5,7}:{(5,1),(16,1),(18,1),(34,1),(42,1),(55,1)}
       11:{2,3,4,5,7}:{(5,1),(16,1),(19,1),(34,1),(43,1),(55,1)}
       12:{3,4,6}:{(5,1),(6,1),(20,1)}
       13:{1,2,4,5,6}:{(6,1),(20,1),(22,1),(37,1),(38,1),(40,1)}
       14:{1,2,4,6,7}:{(6,1),(7,1),(21,1),(22,1),(57,1),(58,1)}
       15:{1,2,3,5}:{(8,1),(23,1)}
       16:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(47,1),(51,1)}
       17:{1,2,3,6}:{(9,1),(26,1)}
       18:{1,3,4,6}:{(10,1),(12,1),(26,1),(28,1),(45,1)}
       19:{2,3,4,6}:{(11,1),(12,1),(26,1),(30,1),(45,1)}
       20:{3,5,6}:{(12,1),(13,1),(32,1)}
       21:{3,4,6,7}:{(12,1),(14,1),(32,1)}
       22:{1,2,4,5,7}:{(13,1),(14,1),(32,1),(48,1),(49,1),(51,1)}
       23:{1,2,4,5}:{(15,1),(34,1),(35,1)}
       24:{1,2,3,5,6}:{(15,1),(17,1),(35,1),(36,1),(40,1),(54,1)}
       25:{3,4,5,6}:{(20,1),(37,1),(38,1),(39,1),(54,1)}
       26:{1,2,4,6}:{(16,1),(17,1),(18,1),(19,1),(40,1)}
       27:{1,2,3,6,7}:{(17,1),(36,1),(41,1),(62,1)}
       28:{1,3,5,6}:{(18,1),(20,1),(37,1),(40,1),(42,1),(54,1)}
       29:{1,3,4,6,7}:{(18,1),(21,1),(41,1),(42,1),(55,1),(57,1),(62,1)}
       30:{2,3,5,6}:{(19,1),(20,1),(38,1),(40,1),(43,1),(54,1)}
       31:{2,3,4,6,7}:{(19,1),(21,1),(41,1),(43,1),(55,1),(58,1),(62,1)}
       32:{3,5,7}:{(20,1),(21,1),(22,1)}
       33:{1,2,4,5,6,7}:{(22,1),(44,1),(57,1),(58,1),(59,1)}
       34:{3,4,5}:{(23,1),(45,1)}
       35:{1,2,4,6}:{(23,1),(24,1),(45,1),(47,1)}
       36:{1,2,3,5,7}:{(24,1),(27,1),(47,1),(51,1),(60,1)}
       37:{1,4,5,6}:{(25,1),(28,1),(48,1)}
       38:{2,4,5,6}:{(25,1),(30,1),(49,1)}
       39:{3,4,5,7}:{(25,1),(32,1),(48,1),(49,1),(50,1),(60,1)}
       40:{1,2,5,6}:{(26,1),(28,1),(30,1),(51,1)}
       41:{1,2,4,6,7}:{(26,1),(27,1),(29,1),(31,1),(47,1),(51,1)}
       42:{1,3,5,7}:{(28,1),(29,1),(32,1),(48,1),(51,1),(60,1)}
       43:{2,3,5,7}:{(30,1),(31,1),(32,1),(49,1),(51,1),(60,1)}
       44:{3,5,6,7}:{(32,1),(33,1),(50,1)}
       45:{3,4,6}:{(34,1),(35,1),(54,1),(55,1)}
       46:{1,2,4,5,6}:{(35,1),(37,1),(38,1),(40,1),(54,1),(56,1)}
       47:{1,2,4,7}:{(35,1),(36,1),(55,1)}
       48:{1,4,5,7}:{(37,1),(39,1),(42,1),(57,1)}
       49:{2,4,5,7}:{(38,1),(39,1),(43,1),(58,1)}
       50:{3,4,6,7}:{(39,1),(44,1),(57,1),(58,1),(62,1)}
       51:{1,2,5,7}:{(40,1),(41,1),(42,1),(43,1)}
       52:{1,3,5,6,7}:{(42,1),(44,1),(57,1),(59,1),(62,1)}
       53:{2,3,5,6,7}:{(43,1),(44,1),(58,1),(59,1),(62,1)}
       54:{3,5,6}:{(45,1),(46,1),(60,1)}
       55:{3,4,7}:{(45,1),(47,1),(60,1)}
       56:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(49,1),(51,1),(60,1),(61,1)}
       57:{1,4,6,7}:{(48,1),(50,1),(52,1)}
       58:{2,4,6,7}:{(49,1),(50,1),(53,1)}
       59:{1,2,5,6,7}:{(51,1),(52,1),(53,1),(61,1)}
       60:{3,5,7}:{(54,1),(55,1),(56,1),(62,1)}
       61:{1,2,4,6,7}:{(56,1),(57,1),(58,1),(59,1),(62,1)}
       62:{3,6,7}:{(60,1),(61,1)}

2228 :   0:{1,3,4,5,6}:{(2,1),(3,1),(23,1),(101,1),(133,1)}
         1:{2,3,4,5,6}:{(4,1),(5,1),(18,1),(97,1),(135,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(40,1),(80,1),(116,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(25,1),(106,1),(117,1)}
         4:{2,3,4,5,7}:{(1,1),(9,1),(10,1),(34,1),(75,1),(119,1)}
         5:{1,2,4,5,6}:{(1,1),(10,1),(11,1),(25,1),(106,1),(120,1)}
         6:{1,3,4,6,7}:{(2,1),(15,1),(16,1),(95,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(43,1),(85,1),(96,1)}
         8:{2,3,5,6}:{(3,1),(17,1),(18,1)}
         9:{2,3,4,6,7}:{(4,1),(20,1),(21,1),(99,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(21,1),(22,1),(43,1),(85,1),(100,1)}
        11:{1,3,5,6}:{(5,1),(22,1),(23,1)}
        12:{1,2,3,5,6}:{(8,1),(11,1),(24,1),(25,1),(27,1),(69,1),(106,1)}
        13:{1,2,3,4,6}:{(25,1),(26,1),(27,1),(69,1)}
        14:{3,4,5,6,7}:{(30,1),(31,1),(73,1),(119,1)}
        15:{1,3,5,6,7}:{(6,1),(30,1),(32,1),(73,1),(80,1)}
        16:{1,2,4,6,7}:{(6,1),(7,1),(32,1),(33,1),(74,1)}
        17:{2,3,5,7}:{(7,1),(8,1),(33,1),(34,1)}
        18:{2,3,4,6}:{(8,1),(25,1),(34,1),(35,1)}
        19:{3,4,5,6,7}:{(36,1),(37,1),(78,1),(116,1)}
        20:{2,3,5,6,7}:{(9,1),(37,1),(38,1),(75,1),(78,1)}
        21:{1,2,4,6,7}:{(9,1),(10,1),(38,1),(39,1),(79,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(39,1),(40,1)}
        23:{1,3,4,6}:{(11,1),(25,1),(40,1),(41,1)}
        24:{1,2,3,5,7}:{(12,1),(17,1),(22,1),(42,1),(43,1),(85,1)}
        25:{1,2,4,6}:{(12,1),(18,1),(23,1),(43,1),(44,1)}
        26:{1,2,3,4,7}:{(13,1),(43,1),(48,1)}
        27:{1,2,3,5}:{(13,1),(44,1)}
        28:{1,3,4,5,6}:{(45,1),(49,1),(93,1),(135,1),(149,1)}
        29:{2,3,4,5,6}:{(46,1),(50,1),(92,1),(133,1),(148,1)}
        30:{1,4,5,6,7}:{(14,1),(15,1),(100,1)}
        31:{2,4,5,6,7}:{(14,1),(51,1),(134,1)}
        32:{1,2,5,6,7}:{(15,1),(16,1),(53,1),(85,1)}
        33:{2,3,6,7}:{(16,1),(17,1)}
        34:{2,3,4,7}:{(17,1),(18,1),(43,1)}
        35:{2,3,4,5}:{(18,1),(44,1)}
        36:{1,4,5,6,7}:{(19,1),(56,1),(132,1)}
        37:{2,4,5,6,7}:{(19,1),(20,1),(96,1)}
        38:{1,2,5,6,7}:{(20,1),(21,1),(58,1),(85,1)}
        39:{1,3,6,7}:{(21,1),(22,1)}
        40:{1,3,4,7}:{(22,1),(23,1),(43,1)}
        41:{1,3,4,5}:{(23,1),(44,1)}
        42:{1,2,3,6,7}:{(24,1),(33,1),(39,1),(64,1),(69,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(34,1),(40,1)}
        44:{1,2,4,5}:{(25,1),(27,1),(35,1),(41,1)}
        45:{1,3,4,5,7}:{(28,1),(61,1),(66,1),(109,1),(119,1),(138,1)}
        46:{2,3,4,5,7}:{(29,1),(62,1),(67,1),(108,1),(116,1),(137,1)}
        47:{1,2,3,4,6,7}:{(26,1),(64,1),(68,1),(69,1),(104,1),(111,1),(136,1),(140,1),(153,1)}
        48:{1,2,3,5,7}:{(26,1),(27,1),(65,1),(69,1)}
        49:{1,2,4,5,6}:{(28,1),(66,1),(70,1),(112,1),(146,1),(152,1)}
        50:{1,2,4,5,6}:{(29,1),(67,1),(71,1),(112,1),(145,1),(152,1)}
        51:{2,3,5,6,7}:{(31,1),(62,1),(72,1),(73,1),(137,1)}
        52:{1,2,4,5,6,7}:{(30,1),(31,1),(32,1),(72,1),(73,1),(74,1),(105,1),(115,1)}
        53:{2,3,5,6,7}:{(32,1),(33,1),(73,1),(74,1),(75,1)}
        54:{2,3,4,6,7}:{(33,1),(34,1),(64,1),(74,1),(75,1),(76,1),(104,1)}
        55:{2,3,4,5,7}:{(34,1),(35,1),(65,1),(75,1),(76,1),(110,1)}
        56:{1,3,5,6,7}:{(36,1),(61,1),(77,1),(78,1),(138,1)}
        57:{1,2,4,5,6,7}:{(36,1),(37,1),(38,1),(77,1),(78,1),(79,1),(105,1),(118,1)}
        58:{1,3,5,6,7}:{(38,1),(39,1),(78,1),(79,1),(80,1)}
        59:{1,3,4,6,7}:{(39,1),(40,1),(64,1),(79,1),(80,1),(81,1),(104,1)}
        60:{1,3,4,5,7}:{(40,1),(41,1),(65,1),(80,1),(81,1),(110,1)}
        61:{1,3,4,6,7}:{(45,1),(56,1),(82,1),(99,1)}
        62:{2,3,4,6,7}:{(46,1),(51,1),(83,1),(95,1)}
        63:{1,2,3,5,6,7}:{(42,1),(53,1),(58,1),(84,1),(85,1),(90,1),(94,1),(98,1),(121,1),(124,1),(147,1)}
        64:{1,2,4,6,7}:{(42,1),(43,1),(54,1),(59,1),(85,1),(86,1)}
        65:{1,2,4,5,7}:{(43,1),(44,1),(48,1),(55,1),(60,1),(85,1),(86,1)}
        66:{1,2,4,5,7}:{(45,1),(49,1),(82,1),(87,1),(126,1),(134,1),(147,1)}
        67:{1,2,4,5,7}:{(46,1),(50,1),(83,1),(88,1),(126,1),(132,1),(147,1)}
        68:{1,2,3,5,7}:{(47,1),(85,1),(89,1),(90,1),(124,1),(147,1)}
        69:{1,2,3,6}:{(48,1),(86,1)}
        70:{2,3,5,6}:{(49,1),(87,1),(92,1)}
        71:{1,3,5,6}:{(50,1),(88,1),(93,1)}
        72:{1,2,5,6,7}:{(51,1),(83,1),(94,1),(147,1)}
        73:{3,5,6,7}:{(52,1),(95,1),(124,1)}
        74:{2,4,6,7}:{(53,1),(95,1),(96,1)}
        75:{2,3,5,7}:{(54,1),(85,1),(96,1),(97,1),(124,1)}
        76:{2,3,4,6}:{(55,1),(86,1),(97,1),(129,1)}
        77:{1,2,5,6,7}:{(56,1),(82,1),(98,1),(147,1)}
        78:{3,5,6,7}:{(57,1),(99,1),(124,1)}
        79:{1,4,6,7}:{(58,1),(99,1),(100,1)}
        80:{1,3,5,7}:{(59,1),(85,1),(100,1),(101,1),(124,1)}
        81:{1,3,4,6}:{(60,1),(86,1),(101,1),(129,1)}
        82:{1,2,4,6,7}:{(61,1),(66,1),(77,1),(102,1),(118,1)}
        83:{1,2,4,6,7}:{(62,1),(67,1),(72,1),(103,1),(115,1)}
        84:{1,2,4,6,7}:{(63,1),(74,1),(79,1),(104,1),(105,1),(111,1),(115,1),(118,1)}
        85:{1,2,5,7}:{(64,1),(75,1),(80,1),(106,1)}
        86:{1,2,4,6}:{(65,1),(69,1),(76,1),(81,1),(106,1)}
        87:{2,3,5,7}:{(66,1),(70,1),(102,1),(108,1)}
        88:{1,3,5,7}:{(67,1),(71,1),(103,1),(109,1)}
        89:{1,2,4,5,7}:{(68,1),(110,1),(111,1)}
        90:{1,2,3,5,6}:{(68,1),(69,1),(106,1),(111,1),(139,1),(152,1),(153,1)}
        91:{1,2,3,5,6}:{(70,1),(71,1),(107,1),(112,1),(144,1),(152,1),(153,1)}
        92:{2,3,4,6}:{(70,1),(108,1),(112,1),(113,1)}
        93:{1,3,4,6}:{(71,1),(109,1),(112,1),(114,1)}
        94:{1,3,5,6,7}:{(72,1),(73,1),(103,1),(115,1),(138,1)}
        95:{3,4,6,7}:{(73,1),(74,1),(115,1),(116,1)}
        96:{2,4,5,7}:{(74,1),(75,1),(116,1),(117,1)}
        97:{2,3,5,6}:{(75,1),(76,1),(106,1),(117,1),(139,1)}
        98:{2,3,5,6,7}:{(77,1),(78,1),(102,1),(118,1),(137,1)}
        99:{3,4,6,7}:{(78,1),(79,1),(118,1),(119,1)}
       100:{1,4,5,7}:{(79,1),(80,1),(119,1),(120,1)}
       101:{1,3,5,6}:{(80,1),(81,1),(106,1),(120,1),(139,1)}
       102:{2,3,6,7}:{(82,1),(87,1)}
       103:{1,3,6,7}:{(83,1),(88,1)}
       104:{3,4,6,7}:{(84,1),(124,1),(129,1)}
       105:{1,2,4,5,7}:{(84,1),(85,1),(96,1),(100,1),(124,1),(125,1),(132,1),(134,1),(147,1)}
       106:{1,2,5,6}:{(85,1),(86,1),(97,1),(101,1)}
       107:{1,2,3,5,7}:{(87,1),(88,1),(91,1),(121,1),(126,1),(147,1)}
       108:{2,3,4,7}:{(87,1),(92,1),(126,1)}
       109:{1,3,4,7}:{(88,1),(93,1),(126,1)}
       110:{3,4,5,7}:{(89,1),(124,1),(129,1)}
       111:{1,2,4,6}:{(89,1),(90,1),(129,1)}
       112:{1,2,4,6}:{(91,1),(92,1),(93,1),(126,1),(131,1)}
       113:{2,3,4,5}:{(92,1),(131,1)}
       114:{1,3,4,5}:{(93,1),(131,1)}
       115:{1,4,6,7}:{(94,1),(95,1),(132,1)}
       116:{3,4,5,7}:{(95,1),(96,1),(124,1),(132,1),(133,1)}
       117:{2,4,5,6}:{(96,1),(97,1),(133,1)}
       118:{2,4,6,7}:{(98,1),(99,1),(134,1)}
       119:{3,4,5,7}:{(99,1),(100,1),(124,1),(134,1),(135,1)}
       120:{1,4,5,6}:{(100,1),(101,1),(135,1)}
       121:{1,2,3,6,7}:{(102,1),(103,1),(107,1),(136,1),(153,1)}
       122:{2,3,4,6,7}:{(102,1),(104,1),(108,1),(118,1),(136,1),(137,1),(142,1)}
       123:{1,3,4,6,7}:{(103,1),(104,1),(109,1),(115,1),(136,1),(138,1),(143,1)}
       124:{3,5,7}:{(104,1),(105,1),(139,1)}
       125:{1,2,4,5,6}:{(105,1),(106,1),(111,1),(117,1),(120,1),(139,1),(145,1),(146,1),(152,1)}
       126:{1,2,4,7}:{(107,1),(108,1),(109,1),(112,1)}
       127:{2,3,4,5,7}:{(108,1),(110,1),(113,1),(137,1),(141,1),(142,1)}
       128:{1,3,4,5,7}:{(109,1),(110,1),(114,1),(138,1),(141,1),(143,1)}
       129:{3,4,6}:{(110,1),(111,1),(139,1)}
       130:{1,2,3,4,6}:{(112,1),(140,1),(144,1),(153,1)}
       131:{1,2,4,5}:{(112,1),(113,1),(114,1),(144,1)}
       132:{1,4,5,7}:{(115,1),(116,1),(138,1),(145,1)}
       133:{3,4,5,6}:{(116,1),(117,1),(139,1),(145,1)}
       134:{2,4,5,7}:{(118,1),(119,1),(137,1),(146,1)}
       135:{3,4,5,6}:{(119,1),(120,1),(139,1),(146,1)}
       136:{1,2,4,6,7}:{(121,1),(122,1),(123,1),(126,1),(147,1),(151,1)}
       137:{2,3,5,7}:{(122,1),(124,1),(134,1),(147,1),(148,1)}
       138:{1,3,5,7}:{(123,1),(124,1),(132,1),(147,1),(149,1)}
       139:{3,5,6}:{(124,1),(125,1),(129,1)}
       140:{1,2,3,4,7}:{(126,1),(130,1),(150,1)}
       141:{1,2,4,5,7}:{(126,1),(127,1),(128,1),(131,1),(147,1),(150,1),(151,1)}
       142:{2,3,4,6}:{(127,1),(129,1),(148,1),(151,1)}
       143:{1,3,4,6}:{(128,1),(129,1),(149,1),(151,1)}
       144:{1,2,3,5}:{(130,1),(131,1)}
       145:{1,4,5,6}:{(132,1),(133,1),(149,1)}
       146:{2,4,5,6}:{(134,1),(135,1),(148,1)}
       147:{1,2,5,7}:{(136,1),(137,1),(138,1),(152,1)}
       148:{2,3,5,6}:{(137,1),(139,1),(142,1),(146,1),(152,1)}
       149:{1,3,5,6}:{(138,1),(139,1),(143,1),(145,1),(152,1)}
       150:{1,2,3,5,7}:{(140,1),(141,1),(144,1),(153,1)}
       151:{1,2,4,6}:{(141,1),(142,1),(143,1),(152,1),(153,1)}
       152:{1,2,5,6}:{(147,1),(148,1),(149,1),(151,1)}
       153:{1,2,3,6}:{(150,1),(151,1)}

2229 :   0:{1,3,4,5,6}:{(3,1),(4,1),(26,1),(57,1),(83,1)}
         1:{2,3,4,5,6}:{(5,1),(6,1),(21,1),(52,1),(88,1)}
         2:{1,2,3,4,6}:{(7,1),(8,1),(31,1),(34,1)}
         3:{1,2,4,5,6}:{(0,1),(10,1),(11,1),(31,1),(62,1),(67,1)}
         4:{1,3,4,5,7}:{(0,1),(11,1),(12,1),(41,1),(71,1),(98,1)}
         5:{1,2,4,5,6}:{(1,1),(14,1),(15,1),(31,1),(62,1),(72,1)}
         6:{2,3,4,5,7}:{(1,1),(15,1),(16,1),(36,1),(66,1),(104,1)}
         7:{1,2,3,5}:{(2,1),(17,1)}
         8:{1,2,3,4,7}:{(2,1),(19,1),(46,1)}
         9:{2,3,4,5}:{(17,1),(21,1)}
        10:{2,3,5,6}:{(3,1),(21,1),(23,1)}
        11:{1,2,4,5,7}:{(3,1),(4,1),(23,1),(24,1),(46,1),(76,1),(82,1)}
        12:{1,3,4,6,7}:{(4,1),(24,1),(25,1),(84,1)}
        13:{1,3,4,5}:{(17,1),(26,1)}
        14:{1,3,5,6}:{(5,1),(26,1),(28,1)}
        15:{1,2,4,5,7}:{(5,1),(6,1),(28,1),(29,1),(46,1),(76,1),(87,1)}
        16:{2,3,4,6,7}:{(6,1),(29,1),(30,1),(89,1)}
        17:{1,2,4,5}:{(7,1),(9,1),(13,1),(31,1)}
        18:{1,2,3,5,6}:{(7,1),(10,1),(14,1),(31,1),(33,1),(34,1),(62,1)}
        19:{1,2,3,5,7}:{(7,1),(8,1),(32,1),(34,1)}
        20:{1,2,3,4,6,7}:{(8,1),(34,1),(35,1),(61,1),(64,1),(94,1),(128,1),(129,1),(130,1)}
        21:{2,3,4,6}:{(9,1),(10,1),(31,1),(36,1)}
        22:{2,3,4,5,7}:{(9,1),(32,1),(36,1),(37,1),(65,1),(66,1)}
        23:{2,3,5,7}:{(10,1),(11,1),(36,1),(38,1)}
        24:{1,2,4,6,7}:{(11,1),(12,1),(38,1),(39,1),(68,1)}
        25:{1,3,5,6,7}:{(12,1),(39,1),(40,1),(69,1),(71,1)}
        26:{1,3,4,6}:{(13,1),(14,1),(31,1),(41,1)}
        27:{1,3,4,5,7}:{(13,1),(32,1),(41,1),(42,1),(65,1),(71,1)}
        28:{1,3,5,7}:{(14,1),(15,1),(41,1),(43,1)}
        29:{1,2,4,6,7}:{(15,1),(16,1),(43,1),(44,1),(73,1)}
        30:{2,3,5,6,7}:{(16,1),(44,1),(45,1),(66,1),(74,1)}
        31:{1,2,4,6}:{(17,1),(18,1),(21,1),(26,1),(46,1)}
        32:{1,2,4,5,7}:{(17,1),(19,1),(22,1),(27,1),(46,1),(47,1),(76,1)}
        33:{1,2,3,5,7}:{(18,1),(23,1),(28,1),(46,1),(48,1),(76,1)}
        34:{1,2,3,6}:{(19,1),(47,1)}
        35:{1,2,3,5,7}:{(20,1),(49,1),(50,1),(76,1),(110,1),(137,1)}
        36:{2,3,4,7}:{(21,1),(23,1),(46,1)}
        37:{2,3,4,6}:{(22,1),(47,1),(52,1),(79,1)}
        38:{2,3,6,7}:{(23,1),(24,1)}
        39:{1,2,5,6,7}:{(24,1),(25,1),(53,1),(76,1)}
        40:{1,4,5,6,7}:{(25,1),(55,1),(87,1)}
        41:{1,3,4,7}:{(26,1),(28,1),(46,1)}
        42:{1,3,4,6}:{(27,1),(47,1),(57,1),(79,1)}
        43:{1,3,6,7}:{(28,1),(29,1)}
        44:{1,2,5,6,7}:{(29,1),(30,1),(58,1),(76,1)}
        45:{2,4,5,6,7}:{(30,1),(60,1),(82,1)}
        46:{1,2,4,7}:{(31,1),(33,1),(36,1),(41,1)}
        47:{1,2,4,6}:{(32,1),(34,1),(37,1),(42,1),(62,1)}
        48:{1,2,3,6,7}:{(33,1),(34,1),(38,1),(43,1),(61,1)}
        49:{1,2,3,5,6}:{(34,1),(35,1),(62,1),(64,1),(93,1),(127,1),(129,1)}
        50:{1,2,4,5,7}:{(35,1),(64,1),(65,1)}
        51:{2,3,4,6,7}:{(36,1),(37,1),(38,1),(61,1),(66,1),(68,1),(94,1)}
        52:{2,3,5,6}:{(37,1),(62,1),(66,1),(67,1),(93,1)}
        53:{2,3,5,6,7}:{(38,1),(39,1),(66,1),(68,1),(69,1)}
        54:{1,2,4,5,6,7}:{(39,1),(40,1),(68,1),(69,1),(70,1),(92,1),(101,1),(103,1)}
        55:{3,4,5,6,7}:{(40,1),(69,1),(70,1),(104,1)}
        56:{1,3,4,6,7}:{(41,1),(42,1),(43,1),(61,1),(71,1),(73,1),(94,1)}
        57:{1,3,5,6}:{(42,1),(62,1),(71,1),(72,1),(93,1)}
        58:{1,3,5,6,7}:{(43,1),(44,1),(71,1),(73,1),(74,1)}
        59:{1,2,4,5,6,7}:{(44,1),(45,1),(73,1),(74,1),(75,1),(92,1),(108,1),(109,1)}
        60:{3,4,5,6,7}:{(45,1),(74,1),(75,1),(98,1)}
        61:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(51,1),(56,1),(76,1)}
        62:{1,2,5,6}:{(47,1),(52,1),(57,1),(76,1)}
        63:{1,2,3,5,6,7}:{(48,1),(49,1),(53,1),(58,1),(76,1),(78,1),(85,1),(91,1),(110,1),(137,1),(139,1)}
        64:{1,2,4,6}:{(49,1),(50,1),(79,1)}
        65:{3,4,5,7}:{(50,1),(79,1),(110,1)}
        66:{2,3,5,7}:{(51,1),(52,1),(76,1),(82,1),(110,1)}
        67:{2,4,5,6}:{(52,1),(82,1),(83,1)}
        68:{2,4,6,7}:{(53,1),(82,1),(84,1)}
        69:{3,5,6,7}:{(54,1),(84,1),(110,1)}
        70:{2,4,5,6,7}:{(55,1),(86,1),(122,1)}
        71:{1,3,5,7}:{(56,1),(57,1),(76,1),(87,1),(110,1)}
        72:{1,4,5,6}:{(57,1),(87,1),(88,1)}
        73:{1,4,6,7}:{(58,1),(87,1),(89,1)}
        74:{3,5,6,7}:{(59,1),(89,1),(110,1)}
        75:{1,4,5,6,7}:{(60,1),(90,1),(117,1)}
        76:{1,2,5,7}:{(61,1),(62,1),(66,1),(71,1)}
        77:{1,2,4,5,6}:{(62,1),(64,1),(67,1),(72,1),(92,1),(93,1),(99,1),(106,1),(127,1)}
        78:{1,2,4,6,7}:{(63,1),(64,1),(68,1),(73,1),(92,1),(94,1),(101,1),(108,1)}
        79:{3,4,6}:{(64,1),(65,1),(93,1)}
        80:{1,3,4,5,7}:{(65,1),(95,1),(97,1),(125,1),(148,1),(149,1)}
        81:{2,3,4,5,7}:{(65,1),(96,1),(97,1),(126,1),(150,1),(151,1)}
        82:{2,4,5,7}:{(66,1),(67,1),(68,1),(98,1)}
        83:{3,4,5,6}:{(67,1),(93,1),(98,1),(99,1)}
        84:{3,4,6,7}:{(68,1),(69,1),(98,1),(101,1)}
        85:{1,3,5,6,7}:{(69,1),(101,1),(103,1),(125,1),(133,1)}
        86:{2,3,5,6,7}:{(69,1),(70,1),(102,1),(103,1),(126,1)}
        87:{1,4,5,7}:{(71,1),(72,1),(73,1),(104,1)}
        88:{3,4,5,6}:{(72,1),(93,1),(104,1),(106,1)}
        89:{3,4,6,7}:{(73,1),(74,1),(104,1),(108,1)}
        90:{1,3,5,6,7}:{(74,1),(75,1),(107,1),(109,1),(125,1)}
        91:{2,3,5,6,7}:{(74,1),(108,1),(109,1),(126,1),(136,1)}
        92:{1,2,4,5,7}:{(76,1),(77,1),(78,1),(82,1),(87,1),(110,1),(117,1),(122,1),(137,1)}
        93:{3,5,6}:{(77,1),(79,1),(110,1)}
        94:{3,4,6,7}:{(78,1),(79,1),(110,1)}
        95:{1,3,4,6}:{(79,1),(80,1),(111,1),(115,1)}
        96:{2,3,4,6}:{(79,1),(81,1),(112,1),(115,1)}
        97:{1,2,4,5,7}:{(80,1),(81,1),(115,1),(116,1),(137,1),(152,1),(153,1)}
        98:{3,4,5,7}:{(82,1),(83,1),(84,1),(110,1),(117,1)}
        99:{1,4,5,6}:{(83,1),(111,1),(117,1)}
       100:{2,3,4,5,6}:{(83,1),(112,1),(118,1),(119,1),(144,1)}
       101:{1,4,6,7}:{(84,1),(85,1),(117,1)}
       102:{2,3,4,6,7}:{(84,1),(86,1),(118,1),(120,1)}
       103:{1,2,5,6,7}:{(85,1),(86,1),(120,1),(137,1)}
       104:{3,4,5,7}:{(87,1),(88,1),(89,1),(110,1),(122,1)}
       105:{1,3,4,5,6}:{(88,1),(111,1),(121,1),(123,1),(142,1)}
       106:{2,4,5,6}:{(88,1),(112,1),(122,1)}
       107:{1,3,4,6,7}:{(89,1),(90,1),(121,1),(124,1)}
       108:{2,4,6,7}:{(89,1),(91,1),(122,1)}
       109:{1,2,5,6,7}:{(90,1),(91,1),(124,1),(137,1)}
       110:{3,5,7}:{(92,1),(93,1),(94,1)}
       111:{1,3,5,6}:{(93,1),(95,1),(99,1),(125,1),(127,1)}
       112:{2,3,5,6}:{(93,1),(96,1),(106,1),(126,1),(127,1)}
       113:{1,3,4,6,7}:{(94,1),(95,1),(101,1),(125,1),(128,1),(133,1),(148,1)}
       114:{2,3,4,6,7}:{(94,1),(96,1),(108,1),(126,1),(128,1),(136,1),(150,1)}
       115:{1,2,4,6}:{(95,1),(96,1),(97,1),(127,1),(129,1)}
       116:{1,2,3,5,7}:{(97,1),(129,1),(130,1),(147,1)}
       117:{1,4,5,7}:{(98,1),(99,1),(101,1),(125,1)}
       118:{2,3,4,5,7}:{(98,1),(100,1),(102,1),(126,1),(131,1),(150,1)}
       119:{1,2,4,5,6}:{(99,1),(100,1),(127,1),(131,1),(132,1),(146,1)}
       120:{1,2,4,6,7}:{(101,1),(102,1),(103,1),(131,1),(133,1)}
       121:{1,3,4,5,7}:{(104,1),(105,1),(107,1),(125,1),(134,1),(148,1)}
       122:{2,4,5,7}:{(104,1),(106,1),(108,1),(126,1)}
       123:{1,2,4,5,6}:{(105,1),(106,1),(127,1),(134,1),(135,1),(146,1)}
       124:{1,2,4,6,7}:{(107,1),(108,1),(109,1),(134,1),(136,1)}
       125:{1,3,5,7}:{(110,1),(111,1),(113,1),(117,1),(137,1)}
       126:{2,3,5,7}:{(110,1),(112,1),(114,1),(122,1),(137,1)}
       127:{1,2,5,6}:{(111,1),(112,1),(115,1),(137,1)}
       128:{1,2,4,6,7}:{(113,1),(114,1),(115,1),(137,1),(139,1),(152,1)}
       129:{1,2,3,6}:{(115,1),(116,1)}
       130:{1,2,3,4,7}:{(116,1),(140,1),(152,1)}
       131:{1,2,4,5,7}:{(117,1),(118,1),(119,1),(120,1),(137,1),(141,1),(152,1)}
       132:{1,3,5,6}:{(119,1),(141,1),(142,1)}
       133:{1,3,6,7}:{(120,1),(141,1)}
       134:{1,2,4,5,7}:{(121,1),(122,1),(123,1),(124,1),(137,1),(143,1),(152,1)}
       135:{2,3,5,6}:{(123,1),(143,1),(144,1)}
       136:{2,3,6,7}:{(124,1),(143,1)}
       137:{1,2,5,7}:{(125,1),(126,1),(127,1),(128,1)}
       138:{1,2,3,5,6}:{(127,1),(129,1),(132,1),(135,1),(145,1),(146,1),(147,1)}
       139:{1,2,3,6,7}:{(128,1),(129,1),(133,1),(136,1),(145,1)}
       140:{1,2,3,4,6}:{(129,1),(130,1),(146,1),(147,1)}
       141:{1,3,5,7}:{(131,1),(132,1),(133,1),(148,1)}
       142:{1,3,4,6}:{(132,1),(146,1),(148,1),(149,1)}
       143:{2,3,5,7}:{(134,1),(135,1),(136,1),(150,1)}
       144:{2,3,4,6}:{(135,1),(146,1),(150,1),(151,1)}
       145:{1,2,3,5,7}:{(137,1),(138,1),(139,1),(141,1),(143,1),(152,1)}
       146:{1,2,4,6}:{(138,1),(142,1),(144,1),(152,1),(153,1)}
       147:{1,2,3,5}:{(140,1),(153,1)}
       148:{1,3,4,7}:{(141,1),(142,1),(152,1)}
       149:{1,3,4,5}:{(142,1),(153,1)}
       150:{2,3,4,7}:{(143,1),(144,1),(152,1)}
       151:{2,3,4,5}:{(144,1),(153,1)}
       152:{1,2,4,7}:{(145,1),(146,1),(148,1),(150,1)}
       153:{1,2,4,5}:{(146,1),(147,1),(149,1),(151,1)}

2230 :   0:{2,3,4,5,6}:{(3,1),(4,1),(50,1),(57,1),(100,1)}
         1:{3,4,5,6,7}:{(5,1),(6,1),(30,1),(144,1)}
         2:{1,2,3,4,6}:{(7,1),(9,1),(32,1),(36,1)}
         3:{1,2,4,5,6}:{(0,1),(11,1),(12,1),(36,1),(72,1),(78,1)}
         4:{2,3,4,5,7}:{(0,1),(8,1),(12,1),(76,1),(82,1),(121,1)}
         5:{2,4,5,6,7}:{(1,1),(14,1),(135,1)}
         6:{1,4,5,6,7}:{(1,1),(15,1),(149,1)}
         7:{1,2,3,4,7}:{(2,1),(17,1),(59,1)}
         8:{2,3,4,6,7}:{(4,1),(14,1),(19,1),(51,1)}
         9:{1,2,3,5}:{(2,1),(20,1)}
        10:{1,3,4,5}:{(20,1),(22,1)}
        11:{1,3,5,6}:{(3,1),(22,1),(23,1)}
        12:{1,2,4,5,7}:{(3,1),(4,1),(19,1),(23,1),(59,1),(97,1),(102,1)}
        13:{1,2,3,4,6,7}:{(7,1),(25,1),(27,1),(32,1),(66,1),(70,1),(79,1),(113,1),(116,1)}
        14:{2,3,5,6,7}:{(5,1),(8,1),(28,1),(30,1),(121,1)}
        15:{1,3,5,6,7}:{(6,1),(26,1),(29,1),(30,1),(142,1)}
        16:{1,2,4,5,6,7}:{(5,1),(6,1),(28,1),(29,1),(30,1),(73,1),(75,1),(117,1)}
        17:{1,2,3,5,7}:{(7,1),(9,1),(31,1),(32,1)}
        18:{1,3,4,5,7}:{(10,1),(31,1),(33,1),(39,1),(69,1),(80,1)}
        19:{1,2,4,6,7}:{(8,1),(12,1),(28,1),(34,1),(73,1)}
        20:{1,2,4,5}:{(9,1),(10,1),(35,1),(36,1)}
        21:{1,2,3,5,6}:{(9,1),(11,1),(32,1),(36,1),(37,1),(78,1),(81,1)}
        22:{1,3,4,6}:{(10,1),(11,1),(36,1),(39,1)}
        23:{1,3,5,7}:{(11,1),(12,1),(34,1),(39,1)}
        24:{1,3,4,5,6}:{(41,1),(42,1),(50,1),(124,1),(128,1)}
        25:{1,2,3,4,7}:{(40,1),(43,1),(126,1)}
        26:{1,3,4,6,7}:{(15,1),(42,1),(45,1),(51,1)}
        27:{1,2,3,5,7}:{(13,1),(46,1),(47,1),(102,1),(130,1),(133,1)}
        28:{1,2,5,6,7}:{(14,1),(19,1),(48,1),(102,1)}
        29:{1,2,5,6,7}:{(15,1),(45,1),(49,1),(130,1)}
        30:{3,5,6,7}:{(16,1),(51,1),(133,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(20,1),(52,1),(53,1),(59,1),(102,1)}
        32:{1,2,3,6}:{(17,1),(53,1)}
        33:{1,3,4,6}:{(18,1),(53,1),(55,1),(94,1)}
        34:{1,3,6,7}:{(19,1),(23,1)}
        35:{2,3,4,5}:{(20,1),(57,1)}
        36:{1,2,4,6}:{(20,1),(21,1),(22,1),(57,1),(59,1)}
        37:{1,2,3,5,7}:{(21,1),(23,1),(54,1),(59,1),(102,1),(104,1)}
        38:{1,3,4,5,6}:{(22,1),(55,1),(58,1),(60,1),(132,1)}
        39:{1,3,4,7}:{(22,1),(23,1),(59,1)}
        40:{1,2,3,4,6}:{(25,1),(61,1),(66,1),(107,1)}
        41:{1,2,4,5,6}:{(24,1),(63,1),(64,1),(74,1),(107,1),(112,1)}
        42:{1,3,4,5,7}:{(24,1),(26,1),(64,1),(76,1),(138,1),(142,1)}
        43:{1,2,3,5,7}:{(25,1),(61,1),(65,1),(66,1)}
        44:{2,3,4,5,7}:{(62,1),(65,1),(67,1),(69,1),(110,1),(114,1)}
        45:{1,2,4,6,7}:{(26,1),(29,1),(64,1),(68,1),(75,1)}
        46:{1,2,4,5,7}:{(27,1),(69,1),(70,1)}
        47:{1,2,3,5,6}:{(27,1),(32,1),(66,1),(70,1),(78,1),(112,1),(115,1)}
        48:{1,3,5,6,7}:{(28,1),(30,1),(34,1),(73,1),(80,1)}
        49:{2,3,5,6,7}:{(29,1),(30,1),(68,1),(75,1),(114,1)}
        50:{3,4,5,6}:{(72,1),(74,1),(76,1),(115,1)}
        51:{3,4,6,7}:{(30,1),(73,1),(75,1),(76,1)}
        52:{2,3,4,5,7}:{(31,1),(35,1),(69,1),(77,1),(82,1),(121,1)}
        53:{1,2,4,6}:{(31,1),(32,1),(33,1),(77,1),(78,1)}
        54:{1,2,3,6,7}:{(32,1),(34,1),(37,1),(79,1),(123,1)}
        55:{1,3,5,6}:{(33,1),(72,1),(78,1),(80,1),(115,1)}
        56:{1,3,4,6,7}:{(33,1),(34,1),(39,1),(73,1),(79,1),(80,1),(116,1)}
        57:{2,3,4,6}:{(35,1),(36,1),(81,1),(82,1)}
        58:{1,2,4,5,6}:{(36,1),(38,1),(78,1),(81,1),(83,1),(120,1)}
        59:{1,2,4,7}:{(36,1),(37,1),(39,1),(82,1)}
        60:{1,3,4,5,7}:{(38,1),(39,1),(80,1),(83,1),(84,1),(144,1)}
        61:{1,2,3,5}:{(40,1),(85,1)}
        62:{2,3,4,5}:{(85,1),(87,1)}
        63:{2,3,5,6}:{(41,1),(87,1),(88,1)}
        64:{1,2,4,5,7}:{(41,1),(42,1),(45,1),(88,1),(98,1),(126,1),(130,1)}
        65:{1,2,4,5,7}:{(43,1),(44,1),(85,1),(89,1),(90,1),(126,1),(130,1)}
        66:{1,2,3,6}:{(43,1),(90,1)}
        67:{2,3,4,6}:{(44,1),(90,1),(92,1),(94,1)}
        68:{2,3,6,7}:{(45,1),(88,1)}
        69:{3,4,5,7}:{(46,1),(94,1),(133,1)}
        70:{1,2,4,6}:{(46,1),(47,1),(94,1)}
        71:{1,2,3,5,6,7}:{(47,1),(48,1),(49,1),(54,1),(91,1),(96,1),(102,1),(130,1),(133,1),(136,1),(150,1)}
        72:{1,4,5,6}:{(50,1),(55,1),(97,1)}
        73:{1,4,6,7}:{(48,1),(51,1),(97,1)}
        74:{2,4,5,6}:{(50,1),(92,1),(98,1)}
        75:{2,4,6,7}:{(49,1),(51,1),(98,1)}
        76:{3,4,5,7}:{(50,1),(51,1),(97,1),(98,1),(133,1)}
        77:{2,3,4,6}:{(52,1),(53,1),(94,1),(100,1)}
        78:{1,2,5,6}:{(53,1),(55,1),(100,1),(102,1)}
        79:{1,2,4,6,7}:{(53,1),(54,1),(56,1),(59,1),(101,1),(102,1)}
        80:{1,3,5,7}:{(55,1),(56,1),(97,1),(102,1),(133,1)}
        81:{2,3,5,6}:{(57,1),(58,1),(104,1)}
        82:{2,3,4,7}:{(57,1),(59,1),(104,1)}
        83:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(102,1),(104,1),(105,1),(135,1)}
        84:{1,3,4,6,7}:{(60,1),(103,1),(105,1),(151,1)}
        85:{1,2,4,5}:{(61,1),(62,1),(106,1),(107,1)}
        86:{1,2,3,5,6}:{(61,1),(63,1),(66,1),(107,1),(108,1),(112,1),(137,1)}
        87:{2,3,4,6}:{(62,1),(63,1),(107,1),(110,1)}
        88:{2,3,5,7}:{(63,1),(64,1),(68,1),(110,1)}
        89:{1,3,4,5,7}:{(65,1),(69,1),(106,1),(111,1),(138,1),(142,1)}
        90:{1,2,4,6}:{(65,1),(66,1),(67,1),(111,1),(112,1)}
        91:{1,2,3,6,7}:{(66,1),(68,1),(108,1),(113,1),(152,1)}
        92:{2,3,5,6}:{(67,1),(74,1),(112,1),(114,1),(115,1)}
        93:{2,3,4,6,7}:{(67,1),(68,1),(75,1),(110,1),(113,1),(114,1),(116,1)}
        94:{3,4,6}:{(69,1),(70,1),(115,1)}
        95:{1,2,4,5,6}:{(70,1),(72,1),(74,1),(78,1),(112,1),(115,1),(117,1),(120,1),(141,1)}
        96:{1,2,4,6,7}:{(70,1),(71,1),(73,1),(75,1),(116,1),(117,1),(146,1),(153,1)}
        97:{1,4,5,7}:{(72,1),(73,1),(76,1),(80,1)}
        98:{2,4,5,7}:{(74,1),(75,1),(76,1),(114,1)}
        99:{3,4,5,6,7}:{(76,1),(118,1),(119,1),(145,1)}
       100:{2,3,5,6}:{(77,1),(78,1),(115,1),(120,1),(121,1)}
       101:{2,3,4,6,7}:{(77,1),(79,1),(82,1),(116,1),(121,1),(123,1),(146,1)}
       102:{1,2,5,7}:{(78,1),(79,1),(80,1),(121,1)}
       103:{1,3,5,6,7}:{(80,1),(84,1),(118,1),(122,1),(145,1)}
       104:{2,3,5,7}:{(81,1),(82,1),(83,1),(123,1)}
       105:{1,2,4,6,7}:{(83,1),(84,1),(122,1),(123,1),(146,1)}
       106:{1,3,4,5}:{(85,1),(124,1)}
       107:{1,2,4,6}:{(85,1),(86,1),(87,1),(124,1),(126,1)}
       108:{1,2,3,5,7}:{(86,1),(88,1),(91,1),(126,1),(130,1),(147,1)}
       109:{2,3,4,5,6}:{(87,1),(92,1),(125,1),(127,1),(132,1)}
       110:{2,3,4,7}:{(87,1),(88,1),(126,1)}
       111:{1,3,4,6}:{(89,1),(90,1),(94,1),(128,1)}
       112:{1,2,5,6}:{(90,1),(92,1),(128,1),(130,1)}
       113:{1,2,4,6,7}:{(90,1),(91,1),(93,1),(126,1),(129,1),(130,1)}
       114:{2,3,5,7}:{(92,1),(93,1),(98,1),(130,1),(133,1)}
       115:{3,5,6}:{(94,1),(95,1),(133,1)}
       116:{3,4,6,7}:{(94,1),(96,1),(133,1)}
       117:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(98,1),(102,1),(130,1),(133,1),(135,1),(149,1)}
       118:{1,4,5,6,7}:{(97,1),(99,1),(103,1)}
       119:{2,4,5,6,7}:{(98,1),(99,1),(131,1)}
       120:{2,4,5,6}:{(100,1),(132,1),(135,1)}
       121:{2,3,5,7}:{(100,1),(101,1),(102,1),(133,1),(135,1)}
       122:{1,2,5,6,7}:{(102,1),(103,1),(105,1),(136,1)}
       123:{2,3,6,7}:{(104,1),(105,1)}
       124:{1,3,4,6}:{(106,1),(107,1),(137,1),(138,1)}
       125:{1,2,4,5,6}:{(107,1),(109,1),(112,1),(137,1),(139,1),(141,1)}
       126:{1,2,4,7}:{(107,1),(108,1),(110,1),(138,1)}
       127:{2,3,4,5,7}:{(109,1),(110,1),(114,1),(139,1),(140,1),(144,1)}
       128:{1,3,5,6}:{(111,1),(112,1),(115,1),(141,1),(142,1)}
       129:{1,3,4,6,7}:{(111,1),(113,1),(116,1),(138,1),(142,1),(152,1),(153,1)}
       130:{1,2,5,7}:{(112,1),(113,1),(114,1),(142,1)}
       131:{2,3,5,6,7}:{(114,1),(119,1),(140,1),(143,1),(145,1)}
       132:{3,4,5,6}:{(115,1),(120,1),(141,1),(144,1)}
       133:{3,5,7}:{(115,1),(116,1),(117,1)}
       134:{1,2,4,5,6,7}:{(117,1),(118,1),(119,1),(122,1),(143,1),(145,1),(146,1),(153,1)}
       135:{2,4,5,7}:{(120,1),(121,1),(144,1),(146,1)}
       136:{2,3,5,6,7}:{(121,1),(122,1),(123,1),(145,1),(146,1)}
       137:{1,3,5,6}:{(124,1),(125,1),(147,1)}
       138:{1,3,4,7}:{(124,1),(126,1),(147,1)}
       139:{1,2,4,5,7}:{(125,1),(126,1),(127,1),(130,1),(147,1),(148,1),(149,1)}
       140:{2,3,4,6,7}:{(127,1),(131,1),(148,1),(151,1)}
       141:{1,4,5,6}:{(128,1),(132,1),(149,1)}
       142:{1,3,5,7}:{(128,1),(129,1),(130,1),(133,1),(149,1)}
       143:{1,2,5,6,7}:{(130,1),(131,1),(148,1),(150,1)}
       144:{3,4,5,7}:{(132,1),(133,1),(135,1),(149,1),(151,1)}
       145:{3,5,6,7}:{(133,1),(134,1),(151,1)}
       146:{2,4,6,7}:{(135,1),(136,1),(151,1)}
       147:{1,3,5,7}:{(137,1),(138,1),(139,1),(152,1)}
       148:{1,2,4,6,7}:{(139,1),(140,1),(143,1),(152,1),(153,1)}
       149:{1,4,5,7}:{(141,1),(142,1),(144,1),(153,1)}
       150:{1,3,5,6,7}:{(142,1),(143,1),(145,1),(152,1),(153,1)}
       151:{3,4,6,7}:{(144,1),(145,1),(146,1),(153,1)}
       152:{1,3,6,7}:{(147,1),(148,1)}
       153:{1,4,6,7}:{(149,1),(150,1),(151,1)}

2231 :   0:{1,3,4,5,6}:{(3,1),(4,1),(50,1),(57,1),(100,1)}
         1:{3,4,5,6,7}:{(5,1),(6,1),(30,1),(144,1)}
         2:{1,2,3,4,6}:{(7,1),(9,1),(32,1),(36,1)}
         3:{1,2,4,5,6}:{(0,1),(11,1),(12,1),(36,1),(74,1),(78,1)}
         4:{1,3,4,5,7}:{(0,1),(8,1),(12,1),(76,1),(82,1),(121,1)}
         5:{2,4,5,6,7}:{(1,1),(14,1),(149,1)}
         6:{1,4,5,6,7}:{(1,1),(15,1),(135,1)}
         7:{1,2,3,4,7}:{(2,1),(17,1),(59,1)}
         8:{1,3,4,6,7}:{(4,1),(15,1),(19,1),(51,1)}
         9:{1,2,3,5}:{(2,1),(20,1)}
        10:{2,3,4,5}:{(20,1),(22,1)}
        11:{2,3,5,6}:{(3,1),(22,1),(23,1)}
        12:{1,2,4,5,7}:{(3,1),(4,1),(19,1),(23,1),(59,1),(98,1),(102,1)}
        13:{1,2,3,4,6,7}:{(7,1),(25,1),(27,1),(32,1),(66,1),(70,1),(79,1),(113,1),(116,1)}
        14:{2,3,5,6,7}:{(5,1),(26,1),(28,1),(30,1),(142,1)}
        15:{1,3,5,6,7}:{(6,1),(8,1),(29,1),(30,1),(121,1)}
        16:{1,2,4,5,6,7}:{(5,1),(6,1),(28,1),(29,1),(30,1),(73,1),(75,1),(117,1)}
        17:{1,2,3,5,7}:{(7,1),(9,1),(31,1),(32,1)}
        18:{2,3,4,5,7}:{(10,1),(31,1),(33,1),(39,1),(69,1),(80,1)}
        19:{1,2,4,6,7}:{(8,1),(12,1),(29,1),(34,1),(75,1)}
        20:{1,2,4,5}:{(9,1),(10,1),(35,1),(36,1)}
        21:{1,2,3,5,6}:{(9,1),(11,1),(32,1),(36,1),(37,1),(78,1),(81,1)}
        22:{2,3,4,6}:{(10,1),(11,1),(36,1),(39,1)}
        23:{2,3,5,7}:{(11,1),(12,1),(34,1),(39,1)}
        24:{2,3,4,5,6}:{(41,1),(42,1),(50,1),(124,1),(128,1)}
        25:{1,2,3,4,7}:{(40,1),(43,1),(126,1)}
        26:{2,3,4,6,7}:{(14,1),(42,1),(45,1),(51,1)}
        27:{1,2,3,5,7}:{(13,1),(46,1),(47,1),(102,1),(130,1),(133,1)}
        28:{1,2,5,6,7}:{(14,1),(45,1),(48,1),(130,1)}
        29:{1,2,5,6,7}:{(15,1),(19,1),(49,1),(102,1)}
        30:{3,5,6,7}:{(16,1),(51,1),(133,1)}
        31:{1,2,4,5,7}:{(17,1),(18,1),(20,1),(52,1),(53,1),(59,1),(102,1)}
        32:{1,2,3,6}:{(17,1),(53,1)}
        33:{2,3,4,6}:{(18,1),(53,1),(55,1),(94,1)}
        34:{2,3,6,7}:{(19,1),(23,1)}
        35:{1,3,4,5}:{(20,1),(57,1)}
        36:{1,2,4,6}:{(20,1),(21,1),(22,1),(57,1),(59,1)}
        37:{1,2,3,5,7}:{(21,1),(23,1),(54,1),(59,1),(102,1),(104,1)}
        38:{2,3,4,5,6}:{(22,1),(55,1),(58,1),(60,1),(132,1)}
        39:{2,3,4,7}:{(22,1),(23,1),(59,1)}
        40:{1,2,3,4,6}:{(25,1),(61,1),(66,1),(107,1)}
        41:{1,2,4,5,6}:{(24,1),(63,1),(64,1),(72,1),(107,1),(112,1)}
        42:{2,3,4,5,7}:{(24,1),(26,1),(64,1),(76,1),(138,1),(142,1)}
        43:{1,2,3,5,7}:{(25,1),(61,1),(65,1),(66,1)}
        44:{1,3,4,5,7}:{(62,1),(65,1),(67,1),(69,1),(110,1),(114,1)}
        45:{1,2,4,6,7}:{(26,1),(28,1),(64,1),(68,1),(73,1)}
        46:{1,2,4,5,7}:{(27,1),(69,1),(70,1)}
        47:{1,2,3,5,6}:{(27,1),(32,1),(66,1),(70,1),(78,1),(112,1),(115,1)}
        48:{1,3,5,6,7}:{(28,1),(30,1),(68,1),(73,1),(114,1)}
        49:{2,3,5,6,7}:{(29,1),(30,1),(34,1),(75,1),(80,1)}
        50:{3,4,5,6}:{(72,1),(74,1),(76,1),(115,1)}
        51:{3,4,6,7}:{(30,1),(73,1),(75,1),(76,1)}
        52:{1,3,4,5,7}:{(31,1),(35,1),(69,1),(77,1),(82,1),(121,1)}
        53:{1,2,4,6}:{(31,1),(32,1),(33,1),(77,1),(78,1)}
        54:{1,2,3,6,7}:{(32,1),(34,1),(37,1),(79,1),(123,1)}
        55:{2,3,5,6}:{(33,1),(74,1),(78,1),(80,1),(115,1)}
        56:{2,3,4,6,7}:{(33,1),(34,1),(39,1),(75,1),(79,1),(80,1),(116,1)}
        57:{1,3,4,6}:{(35,1),(36,1),(81,1),(82,1)}
        58:{1,2,4,5,6}:{(36,1),(38,1),(78,1),(81,1),(83,1),(120,1)}
        59:{1,2,4,7}:{(36,1),(37,1),(39,1),(82,1)}
        60:{2,3,4,5,7}:{(38,1),(39,1),(80,1),(83,1),(84,1),(144,1)}
        61:{1,2,3,5}:{(40,1),(85,1)}
        62:{1,3,4,5}:{(85,1),(87,1)}
        63:{1,3,5,6}:{(41,1),(87,1),(88,1)}
        64:{1,2,4,5,7}:{(41,1),(42,1),(45,1),(88,1),(97,1),(126,1),(130,1)}
        65:{1,2,4,5,7}:{(43,1),(44,1),(85,1),(89,1),(90,1),(126,1),(130,1)}
        66:{1,2,3,6}:{(43,1),(90,1)}
        67:{1,3,4,6}:{(44,1),(90,1),(92,1),(94,1)}
        68:{1,3,6,7}:{(45,1),(88,1)}
        69:{3,4,5,7}:{(46,1),(94,1),(133,1)}
        70:{1,2,4,6}:{(46,1),(47,1),(94,1)}
        71:{1,2,3,5,6,7}:{(47,1),(48,1),(49,1),(54,1),(91,1),(96,1),(102,1),(130,1),(133,1),(136,1),(150,1)}
        72:{1,4,5,6}:{(50,1),(92,1),(97,1)}
        73:{1,4,6,7}:{(48,1),(51,1),(97,1)}
        74:{2,4,5,6}:{(50,1),(55,1),(98,1)}
        75:{2,4,6,7}:{(49,1),(51,1),(98,1)}
        76:{3,4,5,7}:{(50,1),(51,1),(97,1),(98,1),(133,1)}
        77:{1,3,4,6}:{(52,1),(53,1),(94,1),(100,1)}
        78:{1,2,5,6}:{(53,1),(55,1),(100,1),(102,1)}
        79:{1,2,4,6,7}:{(53,1),(54,1),(56,1),(59,1),(101,1),(102,1)}
        80:{2,3,5,7}:{(55,1),(56,1),(98,1),(102,1),(133,1)}
        81:{1,3,5,6}:{(57,1),(58,1),(104,1)}
        82:{1,3,4,7}:{(57,1),(59,1),(104,1)}
        83:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(102,1),(104,1),(105,1),(135,1)}
        84:{2,3,4,6,7}:{(60,1),(103,1),(105,1),(151,1)}
        85:{1,2,4,5}:{(61,1),(62,1),(106,1),(107,1)}
        86:{1,2,3,5,6}:{(61,1),(63,1),(66,1),(107,1),(108,1),(112,1),(137,1)}
        87:{1,3,4,6}:{(62,1),(63,1),(107,1),(110,1)}
        88:{1,3,5,7}:{(63,1),(64,1),(68,1),(110,1)}
        89:{2,3,4,5,7}:{(65,1),(69,1),(106,1),(111,1),(138,1),(142,1)}
        90:{1,2,4,6}:{(65,1),(66,1),(67,1),(111,1),(112,1)}
        91:{1,2,3,6,7}:{(66,1),(68,1),(108,1),(113,1),(152,1)}
        92:{1,3,5,6}:{(67,1),(72,1),(112,1),(114,1),(115,1)}
        93:{1,3,4,6,7}:{(67,1),(68,1),(73,1),(110,1),(113,1),(114,1),(116,1)}
        94:{3,4,6}:{(69,1),(70,1),(115,1)}
        95:{1,2,4,5,6}:{(70,1),(72,1),(74,1),(78,1),(112,1),(115,1),(117,1),(120,1),(141,1)}
        96:{1,2,4,6,7}:{(70,1),(71,1),(73,1),(75,1),(116,1),(117,1),(146,1),(153,1)}
        97:{1,4,5,7}:{(72,1),(73,1),(76,1),(114,1)}
        98:{2,4,5,7}:{(74,1),(75,1),(76,1),(80,1)}
        99:{3,4,5,6,7}:{(76,1),(118,1),(119,1),(145,1)}
       100:{1,3,5,6}:{(77,1),(78,1),(115,1),(120,1),(121,1)}
       101:{1,3,4,6,7}:{(77,1),(79,1),(82,1),(116,1),(121,1),(123,1),(146,1)}
       102:{1,2,5,7}:{(78,1),(79,1),(80,1),(121,1)}
       103:{2,3,5,6,7}:{(80,1),(84,1),(119,1),(122,1),(145,1)}
       104:{1,3,5,7}:{(81,1),(82,1),(83,1),(123,1)}
       105:{1,2,4,6,7}:{(83,1),(84,1),(122,1),(123,1),(146,1)}
       106:{2,3,4,5}:{(85,1),(124,1)}
       107:{1,2,4,6}:{(85,1),(86,1),(87,1),(124,1),(126,1)}
       108:{1,2,3,5,7}:{(86,1),(88,1),(91,1),(126,1),(130,1),(147,1)}
       109:{1,3,4,5,6}:{(87,1),(92,1),(125,1),(127,1),(132,1)}
       110:{1,3,4,7}:{(87,1),(88,1),(126,1)}
       111:{2,3,4,6}:{(89,1),(90,1),(94,1),(128,1)}
       112:{1,2,5,6}:{(90,1),(92,1),(128,1),(130,1)}
       113:{1,2,4,6,7}:{(90,1),(91,1),(93,1),(126,1),(129,1),(130,1)}
       114:{1,3,5,7}:{(92,1),(93,1),(97,1),(130,1),(133,1)}
       115:{3,5,6}:{(94,1),(95,1),(133,1)}
       116:{3,4,6,7}:{(94,1),(96,1),(133,1)}
       117:{1,2,4,5,7}:{(95,1),(96,1),(97,1),(98,1),(102,1),(130,1),(133,1),(135,1),(149,1)}
       118:{1,4,5,6,7}:{(97,1),(99,1),(131,1)}
       119:{2,4,5,6,7}:{(98,1),(99,1),(103,1)}
       120:{1,4,5,6}:{(100,1),(132,1),(135,1)}
       121:{1,3,5,7}:{(100,1),(101,1),(102,1),(133,1),(135,1)}
       122:{1,2,5,6,7}:{(102,1),(103,1),(105,1),(136,1)}
       123:{1,3,6,7}:{(104,1),(105,1)}
       124:{2,3,4,6}:{(106,1),(107,1),(137,1),(138,1)}
       125:{1,2,4,5,6}:{(107,1),(109,1),(112,1),(137,1),(139,1),(141,1)}
       126:{1,2,4,7}:{(107,1),(108,1),(110,1),(138,1)}
       127:{1,3,4,5,7}:{(109,1),(110,1),(114,1),(139,1),(140,1),(144,1)}
       128:{2,3,5,6}:{(111,1),(112,1),(115,1),(141,1),(142,1)}
       129:{2,3,4,6,7}:{(111,1),(113,1),(116,1),(138,1),(142,1),(152,1),(153,1)}
       130:{1,2,5,7}:{(112,1),(113,1),(114,1),(142,1)}
       131:{1,3,5,6,7}:{(114,1),(118,1),(140,1),(143,1),(145,1)}
       132:{3,4,5,6}:{(115,1),(120,1),(141,1),(144,1)}
       133:{3,5,7}:{(115,1),(116,1),(117,1)}
       134:{1,2,4,5,6,7}:{(117,1),(118,1),(119,1),(122,1),(143,1),(145,1),(146,1),(153,1)}
       135:{1,4,5,7}:{(120,1),(121,1),(144,1),(146,1)}
       136:{1,3,5,6,7}:{(121,1),(122,1),(123,1),(145,1),(146,1)}
       137:{2,3,5,6}:{(124,1),(125,1),(147,1)}
       138:{2,3,4,7}:{(124,1),(126,1),(147,1)}
       139:{1,2,4,5,7}:{(125,1),(126,1),(127,1),(130,1),(147,1),(148,1),(149,1)}
       140:{1,3,4,6,7}:{(127,1),(131,1),(148,1),(151,1)}
       141:{2,4,5,6}:{(128,1),(132,1),(149,1)}
       142:{2,3,5,7}:{(128,1),(129,1),(130,1),(133,1),(149,1)}
       143:{1,2,5,6,7}:{(130,1),(131,1),(148,1),(150,1)}
       144:{3,4,5,7}:{(132,1),(133,1),(135,1),(149,1),(151,1)}
       145:{3,5,6,7}:{(133,1),(134,1),(151,1)}
       146:{1,4,6,7}:{(135,1),(136,1),(151,1)}
       147:{2,3,5,7}:{(137,1),(138,1),(139,1),(152,1)}
       148:{1,2,4,6,7}:{(139,1),(140,1),(143,1),(152,1),(153,1)}
       149:{2,4,5,7}:{(141,1),(142,1),(144,1),(153,1)}
       150:{2,3,5,6,7}:{(142,1),(143,1),(145,1),(152,1),(153,1)}
       151:{3,4,6,7}:{(144,1),(145,1),(146,1),(153,1)}
       152:{2,3,6,7}:{(147,1),(148,1)}
       153:{2,4,6,7}:{(149,1),(150,1),(151,1)}

2232 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(18,1),(37,1),(38,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(24,1),(47,1)}
        2:{1,2,4,5,7}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,5,6}:{(1,1),(5,1),(12,1),(34,1),(37,1)}
        4:{3,4,5,7}:{(2,1),(10,1),(24,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(10,1)}
        6:{1,2,3,5,6,7}:{(3,1),(11,1),(24,1),(43,1),(44,1),(47,1),(48,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(29,1),(30,1),(34,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(16,1),(35,1),(51,1),(62,1)}
        9:{1,3,4,5,7}:{(4,1),(15,1),(17,1),(36,1),(51,1),(62,1)}
       10:{3,4,6}:{(4,1),(5,1),(12,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(13,1),(18,1),(49,1),(50,1)}
       12:{3,5,6}:{(7,1),(10,1),(24,1)}
       13:{1,2,4,5,7}:{(7,1),(11,1),(24,1),(41,1),(42,1),(47,1)}
       14:{1,2,3,4,7}:{(21,1),(25,1),(60,1)}
       15:{1,2,4,5,7}:{(8,1),(9,1),(25,1),(26,1),(45,1),(47,1),(60,1)}
       16:{2,3,4,6}:{(8,1),(10,1),(22,1),(26,1),(58,1)}
       17:{1,3,4,6}:{(9,1),(10,1),(23,1),(26,1),(58,1)}
       18:{3,4,6,7}:{(10,1),(11,1),(24,1)}
       19:{3,4,5,6}:{(12,1),(29,1),(30,1),(31,1),(52,1)}
       20:{1,2,4,5,6,7}:{(13,1),(32,1),(49,1),(50,1),(54,1)}
       21:{1,2,3,4,6}:{(14,1),(33,1),(37,1),(55,1)}
       22:{2,3,5,6}:{(12,1),(16,1),(29,1),(34,1),(35,1),(52,1)}
       23:{1,3,5,6}:{(12,1),(17,1),(30,1),(34,1),(36,1),(52,1)}
       24:{3,5,7}:{(12,1),(13,1),(18,1)}
       25:{1,2,3,5,7}:{(14,1),(15,1),(33,1),(37,1)}
       26:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(37,1)}
       27:{2,3,4,6,7}:{(16,1),(18,1),(35,1),(38,1),(49,1),(61,1),(62,1)}
       28:{1,3,4,6,7}:{(17,1),(18,1),(36,1),(38,1),(50,1),(61,1),(62,1)}
       29:{2,4,5,6}:{(19,1),(22,1),(41,1)}
       30:{1,4,5,6}:{(19,1),(23,1),(42,1)}
       31:{3,4,5,7}:{(19,1),(24,1),(39,1),(41,1),(42,1),(59,1)}
       32:{3,5,6,7}:{(20,1),(24,1),(39,1)}
       33:{1,2,3,5}:{(21,1),(45,1)}
       34:{1,2,5,6}:{(22,1),(23,1),(26,1),(47,1)}
       35:{2,3,5,7}:{(22,1),(24,1),(27,1),(41,1),(47,1),(59,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(28,1),(42,1),(47,1),(59,1)}
       37:{1,2,3,6}:{(25,1),(26,1)}
       38:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(47,1),(48,1),(60,1)}
       39:{3,4,6,7}:{(31,1),(32,1),(49,1),(50,1),(61,1)}
       40:{1,2,4,5,6}:{(29,1),(30,1),(34,1),(52,1),(53,1),(55,1)}
       41:{2,4,5,7}:{(29,1),(31,1),(35,1),(49,1)}
       42:{1,4,5,7}:{(30,1),(31,1),(36,1),(50,1)}
       43:{2,3,5,6,7}:{(32,1),(35,1),(49,1),(54,1),(61,1)}
       44:{1,3,5,6,7}:{(32,1),(36,1),(50,1),(54,1),(61,1)}
       45:{1,2,4,5}:{(33,1),(51,1),(55,1)}
       46:{1,2,3,5,6}:{(33,1),(34,1),(37,1),(52,1),(55,1),(56,1)}
       47:{1,2,5,7}:{(34,1),(35,1),(36,1),(38,1)}
       48:{1,2,3,6,7}:{(37,1),(38,1),(56,1),(61,1)}
       49:{2,4,6,7}:{(39,1),(41,1),(43,1)}
       50:{1,4,6,7}:{(39,1),(42,1),(44,1)}
       51:{3,4,5}:{(45,1),(58,1)}
       52:{3,5,6}:{(40,1),(58,1),(59,1)}
       53:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(47,1),(57,1),(59,1),(60,1)}
       54:{1,2,5,6,7}:{(43,1),(44,1),(47,1),(57,1)}
       55:{1,2,4,6}:{(45,1),(46,1),(58,1),(60,1)}
       56:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(59,1),(60,1)}
       57:{1,2,4,6,7}:{(49,1),(50,1),(53,1),(54,1),(61,1)}
       58:{3,4,6}:{(51,1),(52,1),(55,1),(62,1)}
       59:{3,5,7}:{(52,1),(53,1),(61,1),(62,1)}
       60:{1,2,4,7}:{(55,1),(56,1),(62,1)}
       61:{3,6,7}:{(57,1),(59,1)}
       62:{3,4,7}:{(58,1),(59,1),(60,1)}

2233 :   0:{3,4,5,6,7}:{(1,1),(2,1),(22,1),(143,1)}
         1:{2,4,5,6,7}:{(0,1),(6,1),(147,1)}
         2:{1,4,5,6,7}:{(0,1),(7,1),(149,1)}
         3:{2,3,4,5,6}:{(10,1),(11,1),(41,1),(93,1),(122,1)}
         4:{1,3,4,5,6}:{(13,1),(14,1),(41,1),(97,1),(126,1)}
         5:{1,2,3,4,6,7}:{(15,1),(17,1),(19,1),(52,1),(56,1),(60,1),(103,1),(107,1),(110,1)}
         6:{2,3,5,6,7}:{(1,1),(16,1),(20,1),(22,1),(138,1)}
         7:{1,3,5,6,7}:{(2,1),(18,1),(21,1),(22,1),(141,1)}
         8:{1,2,4,5,6,7}:{(1,1),(2,1),(20,1),(21,1),(22,1),(63,1),(65,1),(111,1)}
         9:{1,2,3,4,6}:{(15,1),(23,1),(52,1),(68,1)}
        10:{1,2,4,5,6}:{(3,1),(25,1),(26,1),(62,1),(68,1),(102,1)}
        11:{2,3,4,5,7}:{(3,1),(16,1),(26,1),(66,1),(115,1),(138,1)}
        12:{1,2,3,4,6}:{(17,1),(27,1),(56,1),(73,1)}
        13:{1,2,4,5,6}:{(4,1),(29,1),(30,1),(64,1),(73,1),(106,1)}
        14:{1,3,4,5,7}:{(4,1),(18,1),(30,1),(66,1),(119,1),(141,1)}
        15:{1,2,3,4,7}:{(9,1),(31,1),(95,1)}
        16:{2,3,4,6,7}:{(6,1),(11,1),(33,1),(42,1)}
        17:{1,2,3,4,7}:{(12,1),(34,1),(99,1)}
        18:{1,3,4,6,7}:{(7,1),(14,1),(36,1),(42,1)}
        19:{1,2,3,5,7}:{(5,1),(37,1),(38,1),(124,1),(128,1),(131,1)}
        20:{1,2,5,6,7}:{(6,1),(33,1),(39,1),(124,1)}
        21:{1,2,5,6,7}:{(7,1),(36,1),(40,1),(128,1)}
        22:{3,5,6,7}:{(8,1),(42,1),(131,1)}
        23:{1,2,3,5}:{(9,1),(43,1)}
        24:{1,3,4,5}:{(43,1),(45,1)}
        25:{1,3,5,6}:{(10,1),(45,1),(46,1)}
        26:{1,2,4,5,7}:{(10,1),(11,1),(33,1),(46,1),(90,1),(95,1),(124,1)}
        27:{1,2,3,5}:{(12,1),(47,1)}
        28:{2,3,4,5}:{(47,1),(49,1)}
        29:{2,3,5,6}:{(13,1),(49,1),(50,1)}
        30:{1,2,4,5,7}:{(13,1),(14,1),(36,1),(50,1),(91,1),(99,1),(128,1)}
        31:{1,2,3,5,7}:{(15,1),(23,1),(51,1),(52,1)}
        32:{1,3,4,5,7}:{(24,1),(51,1),(53,1),(59,1),(71,1),(104,1)}
        33:{1,2,4,6,7}:{(16,1),(20,1),(26,1),(54,1),(63,1)}
        34:{1,2,3,5,7}:{(17,1),(27,1),(55,1),(56,1)}
        35:{2,3,4,5,7}:{(28,1),(55,1),(57,1),(59,1),(76,1),(108,1)}
        36:{1,2,4,6,7}:{(18,1),(21,1),(30,1),(58,1),(65,1)}
        37:{1,2,4,5,7}:{(19,1),(59,1),(60,1)}
        38:{1,2,3,5,6}:{(19,1),(52,1),(56,1),(60,1),(102,1),(106,1),(109,1)}
        39:{1,3,5,6,7}:{(20,1),(22,1),(54,1),(63,1),(104,1)}
        40:{2,3,5,6,7}:{(21,1),(22,1),(58,1),(65,1),(108,1)}
        41:{3,4,5,6}:{(62,1),(64,1),(66,1),(109,1)}
        42:{3,4,6,7}:{(22,1),(63,1),(65,1),(66,1)}
        43:{1,2,4,5}:{(23,1),(24,1),(67,1),(68,1)}
        44:{1,2,3,5,6}:{(23,1),(25,1),(52,1),(68,1),(69,1),(102,1),(114,1)}
        45:{1,3,4,6}:{(24,1),(25,1),(68,1),(71,1)}
        46:{1,3,5,7}:{(25,1),(26,1),(54,1),(71,1)}
        47:{1,2,4,5}:{(27,1),(28,1),(72,1),(73,1)}
        48:{1,2,3,5,6}:{(27,1),(29,1),(56,1),(73,1),(74,1),(106,1),(118,1)}
        49:{2,3,4,6}:{(28,1),(29,1),(73,1),(76,1)}
        50:{2,3,5,7}:{(29,1),(30,1),(58,1),(76,1)}
        51:{1,2,4,5,7}:{(31,1),(32,1),(43,1),(77,1),(78,1),(95,1),(124,1)}
        52:{1,2,3,6}:{(31,1),(78,1)}
        53:{1,3,4,6}:{(32,1),(78,1),(80,1),(87,1)}
        54:{1,3,6,7}:{(33,1),(46,1)}
        55:{1,2,4,5,7}:{(34,1),(35,1),(47,1),(82,1),(83,1),(99,1),(128,1)}
        56:{1,2,3,6}:{(34,1),(83,1)}
        57:{2,3,4,6}:{(35,1),(83,1),(85,1),(87,1)}
        58:{2,3,6,7}:{(36,1),(50,1)}
        59:{3,4,5,7}:{(37,1),(87,1),(131,1)}
        60:{1,2,4,6}:{(37,1),(38,1),(87,1)}
        61:{1,2,3,5,6,7}:{(38,1),(39,1),(40,1),(79,1),(84,1),(89,1),(124,1),(128,1),(131,1),(148,1),(150,1)}
        62:{1,4,5,6}:{(41,1),(80,1),(90,1)}
        63:{1,4,6,7}:{(39,1),(42,1),(90,1)}
        64:{2,4,5,6}:{(41,1),(85,1),(91,1)}
        65:{2,4,6,7}:{(40,1),(42,1),(91,1)}
        66:{3,4,5,7}:{(41,1),(42,1),(90,1),(91,1),(131,1)}
        67:{2,3,4,5}:{(43,1),(93,1)}
        68:{1,2,4,6}:{(43,1),(44,1),(45,1),(93,1),(95,1)}
        69:{1,2,3,5,7}:{(44,1),(46,1),(79,1),(95,1),(124,1),(133,1)}
        70:{1,3,4,5,6}:{(45,1),(80,1),(94,1),(96,1),(130,1)}
        71:{1,3,4,7}:{(45,1),(46,1),(95,1)}
        72:{1,3,4,5}:{(47,1),(97,1)}
        73:{1,2,4,6}:{(47,1),(48,1),(49,1),(97,1),(99,1)}
        74:{1,2,3,5,7}:{(48,1),(50,1),(84,1),(99,1),(128,1),(135,1)}
        75:{2,3,4,5,6}:{(49,1),(85,1),(98,1),(100,1),(130,1)}
        76:{2,3,4,7}:{(49,1),(50,1),(99,1)}
        77:{2,3,4,5,7}:{(51,1),(59,1),(67,1),(101,1),(115,1),(138,1)}
        78:{1,2,4,6}:{(51,1),(52,1),(53,1),(101,1),(102,1)}
        79:{1,2,3,6,7}:{(52,1),(54,1),(69,1),(103,1),(145,1)}
        80:{1,3,5,6}:{(53,1),(62,1),(102,1),(104,1),(109,1)}
        81:{1,3,4,6,7}:{(53,1),(54,1),(63,1),(71,1),(103,1),(104,1),(110,1)}
        82:{1,3,4,5,7}:{(55,1),(59,1),(72,1),(105,1),(119,1),(141,1)}
        83:{1,2,4,6}:{(55,1),(56,1),(57,1),(105,1),(106,1)}
        84:{1,2,3,6,7}:{(56,1),(58,1),(74,1),(107,1),(146,1)}
        85:{2,3,5,6}:{(57,1),(64,1),(106,1),(108,1),(109,1)}
        86:{2,3,4,6,7}:{(57,1),(58,1),(65,1),(76,1),(107,1),(108,1),(110,1)}
        87:{3,4,6}:{(59,1),(60,1),(109,1)}
        88:{1,2,4,5,6}:{(60,1),(62,1),(64,1),(102,1),(106,1),(109,1),(111,1),(137,1),(140,1)}
        89:{1,2,4,6,7}:{(60,1),(61,1),(63,1),(65,1),(110,1),(111,1),(152,1),(153,1)}
        90:{1,4,5,7}:{(62,1),(63,1),(66,1),(104,1)}
        91:{2,4,5,7}:{(64,1),(65,1),(66,1),(108,1)}
        92:{3,4,5,6,7}:{(66,1),(112,1),(113,1),(144,1)}
        93:{2,3,4,6}:{(67,1),(68,1),(114,1),(115,1)}
        94:{1,2,4,5,6}:{(68,1),(70,1),(102,1),(114,1),(116,1),(137,1)}
        95:{1,2,4,7}:{(68,1),(69,1),(71,1),(115,1)}
        96:{1,3,4,5,7}:{(70,1),(71,1),(104,1),(116,1),(117,1),(143,1)}
        97:{1,3,4,6}:{(72,1),(73,1),(118,1),(119,1)}
        98:{1,2,4,5,6}:{(73,1),(75,1),(106,1),(118,1),(120,1),(140,1)}
        99:{1,2,4,7}:{(73,1),(74,1),(76,1),(119,1)}
       100:{2,3,4,5,7}:{(75,1),(76,1),(108,1),(120,1),(121,1),(143,1)}
       101:{2,3,4,6}:{(77,1),(78,1),(87,1),(122,1)}
       102:{1,2,5,6}:{(78,1),(80,1),(122,1),(124,1)}
       103:{1,2,4,6,7}:{(78,1),(79,1),(81,1),(95,1),(123,1),(124,1)}
       104:{1,3,5,7}:{(80,1),(81,1),(90,1),(124,1),(131,1)}
       105:{1,3,4,6}:{(82,1),(83,1),(87,1),(126,1)}
       106:{1,2,5,6}:{(83,1),(85,1),(126,1),(128,1)}
       107:{1,2,4,6,7}:{(83,1),(84,1),(86,1),(99,1),(127,1),(128,1)}
       108:{2,3,5,7}:{(85,1),(86,1),(91,1),(128,1),(131,1)}
       109:{3,5,6}:{(87,1),(88,1),(131,1)}
       110:{3,4,6,7}:{(87,1),(89,1),(131,1)}
       111:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(91,1),(124,1),(128,1),(131,1),(147,1),(149,1)}
       112:{1,4,5,6,7}:{(90,1),(92,1),(125,1)}
       113:{2,4,5,6,7}:{(91,1),(92,1),(129,1)}
       114:{2,3,5,6}:{(93,1),(94,1),(133,1)}
       115:{2,3,4,7}:{(93,1),(95,1),(133,1)}
       116:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(124,1),(133,1),(134,1),(147,1)}
       117:{1,3,4,6,7}:{(96,1),(125,1),(134,1),(151,1)}
       118:{1,3,5,6}:{(97,1),(98,1),(135,1)}
       119:{1,3,4,7}:{(97,1),(99,1),(135,1)}
       120:{1,2,4,5,7}:{(98,1),(99,1),(100,1),(128,1),(135,1),(136,1),(149,1)}
       121:{2,3,4,6,7}:{(100,1),(129,1),(136,1),(151,1)}
       122:{2,3,5,6}:{(101,1),(102,1),(109,1),(137,1),(138,1)}
       123:{2,3,4,6,7}:{(101,1),(103,1),(110,1),(115,1),(138,1),(145,1),(152,1)}
       124:{1,2,5,7}:{(102,1),(103,1),(104,1),(138,1)}
       125:{1,3,5,6,7}:{(104,1),(112,1),(117,1),(139,1),(144,1)}
       126:{1,3,5,6}:{(105,1),(106,1),(109,1),(140,1),(141,1)}
       127:{1,3,4,6,7}:{(105,1),(107,1),(110,1),(119,1),(141,1),(146,1),(153,1)}
       128:{1,2,5,7}:{(106,1),(107,1),(108,1),(141,1)}
       129:{2,3,5,6,7}:{(108,1),(113,1),(121,1),(142,1),(144,1)}
       130:{3,4,5,6}:{(109,1),(137,1),(140,1),(143,1)}
       131:{3,5,7}:{(109,1),(110,1),(111,1)}
       132:{1,2,4,5,6,7}:{(111,1),(112,1),(113,1),(139,1),(142,1),(144,1),(152,1),(153,1)}
       133:{2,3,5,7}:{(114,1),(115,1),(116,1),(145,1)}
       134:{1,2,4,6,7}:{(116,1),(117,1),(139,1),(145,1),(152,1)}
       135:{1,3,5,7}:{(118,1),(119,1),(120,1),(146,1)}
       136:{1,2,4,6,7}:{(120,1),(121,1),(142,1),(146,1),(153,1)}
       137:{2,4,5,6}:{(122,1),(130,1),(147,1)}
       138:{2,3,5,7}:{(122,1),(123,1),(124,1),(131,1),(147,1)}
       139:{1,2,5,6,7}:{(124,1),(125,1),(134,1),(148,1)}
       140:{1,4,5,6}:{(126,1),(130,1),(149,1)}
       141:{1,3,5,7}:{(126,1),(127,1),(128,1),(131,1),(149,1)}
       142:{1,2,5,6,7}:{(128,1),(129,1),(136,1),(150,1)}
       143:{3,4,5,7}:{(130,1),(131,1),(147,1),(149,1),(151,1)}
       144:{3,5,6,7}:{(131,1),(132,1),(151,1)}
       145:{2,3,6,7}:{(133,1),(134,1)}
       146:{1,3,6,7}:{(135,1),(136,1)}
       147:{2,4,5,7}:{(137,1),(138,1),(143,1),(152,1)}
       148:{2,3,5,6,7}:{(138,1),(139,1),(144,1),(145,1),(152,1)}
       149:{1,4,5,7}:{(140,1),(141,1),(143,1),(153,1)}
       150:{1,3,5,6,7}:{(141,1),(142,1),(144,1),(146,1),(153,1)}
       151:{3,4,6,7}:{(143,1),(144,1),(152,1),(153,1)}
       152:{2,4,6,7}:{(147,1),(148,1),(151,1)}
       153:{1,4,6,7}:{(149,1),(150,1),(151,1)}

2234 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(16,1),(40,1),(41,1),(42,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(24,1),(47,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(15,1),(39,1),(41,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(9,1),(22,1),(23,1),(24,1),(47,1),(49,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(10,1)}
        6:{3,4,5,7}:{(3,1),(10,1),(24,1)}
        7:{1,2,4,5,6,7}:{(13,1),(14,1),(34,1),(35,1),(36,1)}
        8:{1,2,4,5,6}:{(5,1),(14,1),(15,1),(32,1),(33,1),(39,1)}
        9:{1,2,4,6,7}:{(4,1),(5,1),(14,1),(16,1),(34,1),(35,1)}
       10:{3,4,6}:{(5,1),(6,1),(15,1)}
       11:{1,3,4,5,7}:{(6,1),(17,1),(19,1),(37,1),(61,1),(62,1)}
       12:{2,3,4,5,7}:{(6,1),(18,1),(19,1),(38,1),(61,1),(62,1)}
       13:{3,5,6,7}:{(7,1),(21,1),(24,1)}
       14:{1,2,4,5,7}:{(8,1),(9,1),(24,1),(43,1),(44,1),(47,1)}
       15:{3,5,6}:{(8,1),(10,1),(24,1)}
       16:{3,4,6,7}:{(9,1),(10,1),(24,1)}
       17:{1,3,4,6}:{(10,1),(11,1),(25,1),(29,1),(58,1)}
       18:{2,3,4,6}:{(10,1),(12,1),(26,1),(29,1),(58,1)}
       19:{1,2,4,5,7}:{(11,1),(12,1),(29,1),(30,1),(47,1),(59,1),(60,1)}
       20:{3,4,5,6}:{(15,1),(31,1),(32,1),(33,1),(52,1)}
       21:{3,4,6,7}:{(13,1),(31,1),(34,1),(35,1),(53,1)}
       22:{1,3,5,6,7}:{(13,1),(34,1),(36,1),(37,1),(53,1)}
       23:{2,3,5,6,7}:{(13,1),(35,1),(36,1),(38,1),(53,1)}
       24:{3,5,7}:{(14,1),(15,1),(16,1)}
       25:{1,3,5,6}:{(15,1),(17,1),(32,1),(37,1),(39,1),(52,1)}
       26:{2,3,5,6}:{(15,1),(18,1),(33,1),(38,1),(39,1),(52,1)}
       27:{1,3,4,6,7}:{(16,1),(17,1),(34,1),(37,1),(40,1),(53,1),(61,1)}
       28:{2,3,4,6,7}:{(16,1),(18,1),(35,1),(38,1),(40,1),(53,1),(61,1)}
       29:{1,2,4,6}:{(17,1),(18,1),(19,1),(39,1),(41,1)}
       30:{1,2,3,5,7}:{(19,1),(41,1),(42,1),(56,1)}
       31:{3,4,5,7}:{(20,1),(21,1),(24,1),(43,1),(44,1),(57,1)}
       32:{1,4,5,6}:{(20,1),(25,1),(43,1)}
       33:{2,4,5,6}:{(20,1),(26,1),(44,1)}
       34:{1,4,6,7}:{(21,1),(22,1),(43,1)}
       35:{2,4,6,7}:{(21,1),(23,1),(44,1)}
       36:{1,2,5,6,7}:{(22,1),(23,1),(46,1),(47,1)}
       37:{1,3,5,7}:{(24,1),(25,1),(27,1),(43,1),(47,1),(57,1)}
       38:{2,3,5,7}:{(24,1),(26,1),(28,1),(44,1),(47,1),(57,1)}
       39:{1,2,5,6}:{(25,1),(26,1),(29,1),(47,1)}
       40:{1,2,4,6,7}:{(27,1),(28,1),(29,1),(47,1),(49,1),(59,1)}
       41:{1,2,3,6}:{(29,1),(30,1)}
       42:{1,2,3,4,7}:{(30,1),(50,1),(59,1)}
       43:{1,4,5,7}:{(31,1),(32,1),(34,1),(37,1)}
       44:{2,4,5,7}:{(31,1),(33,1),(35,1),(38,1)}
       45:{1,2,4,5,6}:{(32,1),(33,1),(39,1),(51,1),(52,1),(55,1)}
       46:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(51,1),(53,1)}
       47:{1,2,5,7}:{(37,1),(38,1),(39,1),(40,1)}
       48:{1,2,3,5,6}:{(39,1),(41,1),(52,1),(54,1),(55,1),(56,1)}
       49:{1,2,3,6,7}:{(40,1),(41,1),(53,1),(54,1)}
       50:{1,2,3,4,6}:{(41,1),(42,1),(55,1),(56,1)}
       51:{1,2,4,5,7}:{(43,1),(44,1),(45,1),(46,1),(47,1),(57,1),(59,1)}
       52:{3,5,6}:{(45,1),(57,1),(58,1)}
       53:{3,6,7}:{(46,1),(57,1)}
       54:{1,2,3,5,7}:{(47,1),(48,1),(49,1),(57,1),(59,1)}
       55:{1,2,4,6}:{(48,1),(58,1),(59,1),(60,1)}
       56:{1,2,3,5}:{(50,1),(60,1)}
       57:{3,5,7}:{(51,1),(52,1),(53,1),(61,1)}
       58:{3,4,6}:{(52,1),(55,1),(61,1),(62,1)}
       59:{1,2,4,7}:{(54,1),(55,1),(61,1)}
       60:{1,2,4,5}:{(55,1),(56,1),(62,1)}
       61:{3,4,7}:{(57,1),(58,1),(59,1)}
       62:{3,4,5}:{(58,1),(60,1)}

2235 :  0:{1,2,3,4,5,7}:{(1,1),(4,1),(33,1),(34,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,6,7}:{(1,1),(4,1),(9,1),(32,1),(33,1)}
        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),(18,1),(31,1),(32,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{3,4,5,6}:{(5,1),(10,1)}
        9:{1,2,4,6,7}:{(6,1),(7,1),(14,1)}
       10:{3,4,5,7}:{(7,1),(8,1),(14,1)}
       11:{1,3,4,5,6}:{(8,1),(15,1),(17,1),(48,1)}
       12:{2,3,4,5,6}:{(8,1),(16,1),(17,1),(48,1)}
       13:{1,2,4,5,6,7}:{(9,1),(18,1),(29,1),(30,1),(31,1)}
       14:{3,4,6,7}:{(9,1),(10,1),(18,1)}
       15:{1,3,4,5,7}:{(10,1),(11,1),(19,1),(21,1),(46,1)}
       16:{2,3,4,5,7}:{(10,1),(12,1),(20,1),(21,1),(46,1)}
       17:{1,2,4,5,6}:{(11,1),(12,1),(21,1),(22,1)}
       18:{3,5,6,7}:{(13,1),(14,1)}
       19:{1,3,4,6,7}:{(14,1),(15,1),(24,1),(26,1),(43,1)}
       20:{2,3,4,6,7}:{(14,1),(16,1),(25,1),(26,1),(43,1)}
       21:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(26,1),(27,1)}
       22:{1,2,3,5,6}:{(17,1),(27,1),(28,1)}
       23:{3,4,5,6,7}:{(18,1),(29,1),(30,1),(39,1)}
       24:{1,3,5,6,7}:{(18,1),(19,1),(29,1),(31,1),(39,1)}
       25:{2,3,5,6,7}:{(18,1),(20,1),(30,1),(31,1),(39,1)}
       26:{1,2,4,6,7}:{(19,1),(20,1),(21,1),(31,1),(32,1)}
       27:{1,2,3,5,7}:{(21,1),(22,1),(32,1),(33,1)}
       28:{1,2,3,4,6}:{(22,1),(33,1),(34,1)}
       29:{1,4,5,6,7}:{(23,1),(24,1)}
       30:{2,4,5,6,7}:{(23,1),(25,1)}
       31:{1,2,5,6,7}:{(24,1),(25,1),(26,1)}
       32:{1,2,3,6,7}:{(26,1),(27,1)}
       33:{1,2,3,4,7}:{(27,1),(28,1)}
       34:{1,2,3,4,5}:{(28,1)}
       35:{1,2,4,5,6,7}:{(29,1),(30,1),(31,1),(39,1),(40,1)}
       36:{1,2,3,5,6,7}:{(31,1),(32,1),(39,1),(40,1),(41,1)}
       37:{1,2,3,4,6,7}:{(32,1),(33,1),(40,1),(41,1),(42,1)}
       38:{1,2,3,4,5,7}:{(33,1),(34,1),(41,1),(42,1)}
       39:{3,5,6,7}:{(35,1),(43,1)}
       40:{1,2,4,6,7}:{(36,1),(43,1),(44,1)}
       41:{1,2,3,5,7}:{(37,1),(44,1),(45,1)}
       42:{1,2,3,4,6}:{(38,1),(45,1)}
       43:{3,4,6,7}:{(39,1),(40,1),(46,1)}
       44:{1,2,4,5,7}:{(40,1),(41,1),(46,1),(47,1)}
       45:{1,2,3,5,6}:{(41,1),(42,1),(47,1)}
       46:{3,4,5,7}:{(43,1),(44,1),(48,1)}
       47:{1,2,4,5,6}:{(44,1),(45,1),(48,1)}
       48:{3,4,5,6}:{(46,1),(47,1)}

2236 :  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:{3,4,5,6}:{(4,1),(9,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,2,3,6,7}:{(5,1),(10,1)}
        9:{3,4,5,7}:{(6,1),(7,1),(11,1)}
       10:{1,2,4,6,7}:{(7,1),(8,1),(11,1),(12,1)}
       11:{3,4,6,7}:{(9,1),(10,1),(13,1)}
       12:{1,2,5,6,7}:{(10,1),(13,1)}
       13:{3,5,6,7}:{(11,1),(12,1),(14,1)}
       14:{4,5,6,7}:{(13,1)}

2237 :   0:{1,3,4,5,6}:{(2,1),(3,1),(34,1),(68,1),(81,1)}
         1:{1,2,3,4,6}:{(4,1),(5,1),(23,1),(24,1)}
         2:{1,2,4,5,6}:{(0,1),(8,1),(9,1),(24,1),(56,1),(61,1)}
         3:{1,3,4,5,7}:{(0,1),(6,1),(9,1),(50,1),(90,1),(103,1)}
         4:{1,2,3,4,7}:{(1,1),(11,1),(40,1)}
         5:{1,2,3,5}:{(1,1),(12,1)}
         6:{1,3,4,6,7}:{(3,1),(15,1),(17,1),(82,1)}
         7:{2,3,4,5}:{(12,1),(18,1)}
         8:{2,3,5,6}:{(2,1),(18,1),(19,1)}
         9:{1,2,4,5,7}:{(2,1),(3,1),(17,1),(19,1),(40,1),(78,1),(83,1)}
        10:{1,2,3,4,6,7}:{(4,1),(21,1),(23,1),(51,1),(54,1),(57,1),(93,1),(98,1),(131,1)}
        11:{1,2,3,5,7}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,2,4,5}:{(5,1),(7,1),(20,1),(24,1)}
        13:{1,2,3,5,6}:{(5,1),(8,1),(23,1),(24,1),(25,1),(49,1),(56,1)}
        14:{3,4,5,6,7}:{(26,1),(27,1),(60,1),(128,1)}
        15:{1,3,5,6,7}:{(6,1),(27,1),(28,1),(60,1),(90,1)}
        16:{2,3,4,5,7}:{(7,1),(22,1),(29,1),(32,1),(53,1),(63,1)}
        17:{1,2,4,6,7}:{(6,1),(9,1),(28,1),(30,1),(62,1)}
        18:{2,3,4,6}:{(7,1),(8,1),(24,1),(32,1)}
        19:{2,3,5,7}:{(8,1),(9,1),(30,1),(32,1)}
        20:{1,3,4,5}:{(12,1),(34,1)}
        21:{1,2,3,5,7}:{(10,1),(35,1),(36,1),(78,1),(118,1),(142,1)}
        22:{1,2,4,5,7}:{(11,1),(12,1),(16,1),(33,1),(37,1),(40,1),(78,1)}
        23:{1,2,3,6}:{(11,1),(37,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(18,1),(34,1),(40,1)}
        25:{1,2,3,5,7}:{(13,1),(19,1),(38,1),(40,1),(70,1),(78,1)}
        26:{2,4,5,6,7}:{(14,1),(41,1),(140,1)}
        27:{1,4,5,6,7}:{(14,1),(15,1),(110,1)}
        28:{1,2,5,6,7}:{(15,1),(17,1),(43,1),(78,1)}
        29:{2,3,4,6}:{(16,1),(37,1),(44,1),(75,1)}
        30:{2,3,6,7}:{(17,1),(19,1)}
        31:{2,3,4,5,6}:{(18,1),(39,1),(44,1),(46,1),(109,1)}
        32:{2,3,4,7}:{(18,1),(19,1),(40,1)}
        33:{1,3,4,5,7}:{(20,1),(22,1),(48,1),(50,1),(53,1),(90,1)}
        34:{1,3,4,6}:{(20,1),(24,1),(49,1),(50,1)}
        35:{1,2,4,5,7}:{(21,1),(53,1),(54,1)}
        36:{1,2,3,5,6}:{(21,1),(23,1),(54,1),(56,1),(93,1),(97,1),(130,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(29,1),(48,1),(56,1)}
        38:{1,2,3,6,7}:{(23,1),(25,1),(30,1),(57,1),(91,1)}
        39:{1,2,4,5,6}:{(24,1),(31,1),(49,1),(56,1),(58,1),(89,1)}
        40:{1,2,4,7}:{(24,1),(25,1),(32,1),(50,1)}
        41:{2,3,5,6,7}:{(26,1),(52,1),(59,1),(60,1),(133,1)}
        42:{1,2,4,5,6,7}:{(26,1),(27,1),(28,1),(59,1),(60,1),(62,1),(99,1),(102,1)}
        43:{2,3,5,6,7}:{(28,1),(30,1),(60,1),(62,1),(63,1)}
        44:{2,3,5,6}:{(29,1),(56,1),(61,1),(63,1),(97,1)}
        45:{2,3,4,6,7}:{(29,1),(30,1),(32,1),(57,1),(62,1),(63,1),(98,1)}
        46:{2,3,4,5,7}:{(31,1),(32,1),(58,1),(63,1),(64,1),(128,1)}
        47:{2,3,4,5,6}:{(66,1),(67,1),(81,1),(116,1),(136,1)}
        48:{1,3,4,6}:{(33,1),(37,1),(68,1),(75,1)}
        49:{1,3,5,6}:{(34,1),(39,1),(70,1)}
        50:{1,3,4,7}:{(34,1),(40,1),(70,1)}
        51:{1,2,3,4,7}:{(65,1),(71,1),(138,1)}
        52:{2,3,4,6,7}:{(41,1),(67,1),(73,1),(82,1)}
        53:{3,4,5,7}:{(35,1),(75,1),(118,1)}
        54:{1,2,4,6}:{(35,1),(36,1),(75,1)}
        55:{1,2,3,5,6,7}:{(36,1),(38,1),(43,1),(77,1),(78,1),(80,1),(111,1),(113,1),(118,1),(142,1),(144,1)}
        56:{1,2,5,6}:{(37,1),(44,1),(68,1),(78,1)}
        57:{1,2,4,6,7}:{(37,1),(38,1),(40,1),(45,1),(69,1),(78,1)}
        58:{1,2,4,5,7}:{(39,1),(40,1),(46,1),(70,1),(78,1),(79,1),(110,1)}
        59:{1,2,5,6,7}:{(41,1),(73,1),(80,1),(142,1)}
        60:{3,5,6,7}:{(42,1),(82,1),(118,1)}
        61:{2,4,5,6}:{(44,1),(81,1),(83,1)}
        62:{2,4,6,7}:{(43,1),(82,1),(83,1)}
        63:{2,3,5,7}:{(44,1),(45,1),(78,1),(83,1),(118,1)}
        64:{2,3,4,6,7}:{(46,1),(79,1),(84,1),(141,1)}
        65:{1,2,3,4,6}:{(51,1),(85,1),(93,1),(123,1)}
        66:{1,2,4,5,6}:{(47,1),(87,1),(88,1),(101,1),(123,1),(130,1)}
        67:{2,3,4,5,7}:{(47,1),(52,1),(88,1),(103,1),(133,1),(146,1)}
        68:{1,3,5,6}:{(48,1),(56,1),(89,1),(90,1),(97,1)}
        69:{1,3,4,6,7}:{(48,1),(50,1),(57,1),(90,1),(91,1),(98,1),(129,1)}
        70:{1,3,5,7}:{(49,1),(50,1),(58,1),(91,1)}
        71:{1,2,3,5,7}:{(51,1),(85,1),(92,1),(93,1)}
        72:{1,3,4,5,7}:{(53,1),(86,1),(92,1),(94,1),(126,1),(132,1)}
        73:{1,2,4,6,7}:{(52,1),(59,1),(88,1),(95,1),(102,1)}
        74:{2,3,4,5,7}:{(53,1),(92,1),(96,1),(122,1),(133,1),(146,1)}
        75:{3,4,6}:{(53,1),(54,1),(97,1)}
        76:{1,2,4,5,6}:{(54,1),(56,1),(61,1),(89,1),(97,1),(99,1),(101,1),(127,1),(130,1)}
        77:{1,2,4,6,7}:{(54,1),(55,1),(62,1),(98,1),(99,1),(102,1),(129,1),(149,1)}
        78:{1,2,5,7}:{(56,1),(57,1),(63,1),(90,1)}
        79:{1,2,4,6,7}:{(58,1),(64,1),(91,1),(100,1),(129,1)}
        80:{1,3,5,6,7}:{(59,1),(60,1),(95,1),(102,1),(132,1)}
        81:{3,4,5,6}:{(61,1),(97,1),(101,1),(103,1)}
        82:{3,4,6,7}:{(60,1),(62,1),(102,1),(103,1)}
        83:{2,4,5,7}:{(61,1),(62,1),(63,1),(103,1)}
        84:{2,3,5,6,7}:{(63,1),(64,1),(100,1),(104,1),(134,1)}
        85:{1,2,3,5}:{(65,1),(105,1)}
        86:{1,3,4,5}:{(105,1),(107,1)}
        87:{1,3,5,6}:{(66,1),(107,1),(108,1)}
        88:{1,2,4,5,7}:{(66,1),(67,1),(73,1),(108,1),(120,1),(138,1),(142,1)}
        89:{1,4,5,6}:{(68,1),(109,1),(110,1)}
        90:{1,3,5,7}:{(68,1),(69,1),(78,1),(110,1),(118,1)}
        91:{1,3,6,7}:{(70,1),(79,1)}
        92:{1,2,4,5,7}:{(71,1),(72,1),(74,1),(105,1),(112,1),(138,1),(142,1)}
        93:{1,2,3,6}:{(71,1),(112,1)}
        94:{1,3,4,6}:{(72,1),(75,1),(112,1),(114,1)}
        95:{1,3,6,7}:{(73,1),(108,1)}
        96:{2,3,4,6}:{(74,1),(75,1),(112,1),(116,1)}
        97:{3,5,6}:{(75,1),(76,1),(118,1)}
        98:{3,4,6,7}:{(75,1),(77,1),(118,1)}
        99:{1,2,4,5,7}:{(76,1),(77,1),(78,1),(83,1),(110,1),(118,1),(120,1),(140,1),(142,1)}
       100:{1,2,5,6,7}:{(78,1),(79,1),(84,1),(111,1)}
       101:{1,4,5,6}:{(81,1),(114,1),(120,1)}
       102:{1,4,6,7}:{(80,1),(82,1),(120,1)}
       103:{3,4,5,7}:{(81,1),(82,1),(83,1),(118,1),(120,1)}
       104:{2,4,5,6,7}:{(83,1),(84,1),(121,1)}
       105:{1,2,4,5}:{(85,1),(86,1),(122,1),(123,1)}
       106:{1,2,3,5,6}:{(85,1),(87,1),(93,1),(123,1),(124,1),(130,1),(145,1)}
       107:{1,3,4,6}:{(86,1),(87,1),(123,1),(126,1)}
       108:{1,3,5,7}:{(87,1),(88,1),(95,1),(126,1)}
       109:{3,4,5,6}:{(89,1),(97,1),(127,1),(128,1)}
       110:{1,4,5,7}:{(89,1),(90,1),(128,1),(129,1)}
       111:{1,3,5,6,7}:{(90,1),(91,1),(100,1),(129,1),(134,1)}
       112:{1,2,4,6}:{(92,1),(93,1),(94,1),(96,1),(130,1)}
       113:{1,2,3,6,7}:{(93,1),(95,1),(124,1),(131,1),(153,1)}
       114:{1,3,5,6}:{(94,1),(97,1),(101,1),(130,1),(132,1)}
       115:{1,3,4,6,7}:{(94,1),(95,1),(98,1),(102,1),(126,1),(131,1),(132,1)}
       116:{2,3,5,6}:{(96,1),(97,1),(127,1),(130,1),(133,1)}
       117:{2,3,4,6,7}:{(96,1),(98,1),(131,1),(133,1),(146,1),(149,1),(153,1)}
       118:{3,5,7}:{(97,1),(98,1),(99,1)}
       119:{1,2,4,5,6,7}:{(99,1),(100,1),(104,1),(129,1),(134,1),(135,1),(149,1),(150,1)}
       120:{1,4,5,7}:{(101,1),(102,1),(103,1),(132,1)}
       121:{3,4,5,6,7}:{(103,1),(104,1),(134,1),(135,1)}
       122:{2,3,4,5}:{(105,1),(136,1)}
       123:{1,2,4,6}:{(105,1),(106,1),(107,1),(136,1),(138,1)}
       124:{1,2,3,5,7}:{(106,1),(108,1),(113,1),(138,1),(142,1),(151,1)}
       125:{1,3,4,5,6}:{(107,1),(109,1),(114,1),(137,1),(139,1)}
       126:{1,3,4,7}:{(107,1),(108,1),(138,1)}
       127:{2,4,5,6}:{(109,1),(116,1),(140,1)}
       128:{3,4,5,7}:{(109,1),(110,1),(118,1),(140,1),(141,1)}
       129:{1,4,6,7}:{(110,1),(111,1),(141,1)}
       130:{1,2,5,6}:{(112,1),(114,1),(116,1),(142,1)}
       131:{1,2,4,6,7}:{(112,1),(113,1),(115,1),(117,1),(138,1),(142,1)}
       132:{1,3,5,7}:{(114,1),(115,1),(118,1),(120,1),(142,1)}
       133:{2,3,5,7}:{(116,1),(117,1),(118,1),(140,1),(142,1)}
       134:{3,5,6,7}:{(118,1),(119,1),(141,1)}
       135:{1,4,5,6,7}:{(120,1),(121,1),(143,1)}
       136:{2,3,4,6}:{(122,1),(123,1),(145,1),(146,1)}
       137:{1,2,4,5,6}:{(123,1),(125,1),(127,1),(130,1),(145,1),(147,1)}
       138:{1,2,4,7}:{(123,1),(124,1),(126,1),(146,1)}
       139:{1,3,4,5,7}:{(125,1),(126,1),(128,1),(132,1),(147,1),(148,1)}
       140:{2,4,5,7}:{(127,1),(128,1),(133,1),(149,1)}
       141:{3,4,6,7}:{(128,1),(129,1),(134,1),(149,1)}
       142:{1,2,5,7}:{(130,1),(131,1),(132,1),(133,1)}
       143:{1,3,5,6,7}:{(132,1),(134,1),(135,1),(148,1),(150,1)}
       144:{2,3,5,6,7}:{(133,1),(134,1),(149,1),(150,1),(153,1)}
       145:{2,3,5,6}:{(136,1),(137,1),(151,1)}
       146:{2,3,4,7}:{(136,1),(138,1),(151,1)}
       147:{1,2,4,5,7}:{(137,1),(138,1),(139,1),(140,1),(142,1),(151,1),(152,1)}
       148:{1,3,4,6,7}:{(139,1),(141,1),(143,1),(152,1)}
       149:{2,4,6,7}:{(140,1),(141,1),(144,1)}
       150:{1,2,5,6,7}:{(142,1),(143,1),(144,1),(152,1)}
       151:{2,3,5,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{1,2,4,6,7}:{(147,1),(148,1),(149,1),(150,1),(153,1)}
       153:{2,3,6,7}:{(151,1),(152,1)}

2238 :   0:{1,3,4,5,6}:{(2,1),(3,1),(36,1),(63,1),(92,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(22,1),(97,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(47,1),(50,1),(79,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(25,1),(78,1),(80,1)}
         4:{1,4,5,6,7}:{(1,1),(11,1),(91,1)}
         5:{2,4,5,6,7}:{(1,1),(10,1),(101,1)}
         6:{1,3,4,6,7}:{(2,1),(11,1),(13,1),(33,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(13,1),(15,1),(37,1),(62,1),(65,1)}
         8:{2,3,5,6}:{(3,1),(15,1),(16,1)}
         9:{2,3,4,5,6}:{(17,1),(18,1),(63,1),(69,1),(102,1)}
        10:{2,3,5,6,7}:{(5,1),(19,1),(20,1),(22,1),(95,1)}
        11:{1,3,5,6,7}:{(4,1),(6,1),(21,1),(22,1),(79,1)}
        12:{1,2,4,5,6,7}:{(4,1),(5,1),(20,1),(21,1),(22,1),(45,1),(46,1),(76,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(21,1),(23,1),(46,1)}
        14:{1,2,3,5,6}:{(8,1),(24,1),(25,1),(51,1),(80,1),(81,1)}
        15:{2,3,5,7}:{(7,1),(8,1),(23,1),(26,1)}
        16:{2,3,4,6}:{(8,1),(25,1),(26,1),(27,1)}
        17:{2,3,4,5,7}:{(9,1),(19,1),(28,1),(47,1),(82,1),(95,1)}
        18:{1,2,4,5,6}:{(9,1),(28,1),(29,1),(55,1),(77,1),(96,1)}
        19:{2,3,4,6,7}:{(10,1),(17,1),(30,1),(33,1)}
        20:{1,2,5,6,7}:{(10,1),(30,1),(31,1),(87,1)}
        21:{1,2,5,6,7}:{(11,1),(13,1),(32,1),(65,1)}
        22:{3,5,6,7}:{(12,1),(33,1),(89,1)}
        23:{2,3,6,7}:{(13,1),(15,1)}
        24:{1,2,3,5,7}:{(14,1),(15,1),(34,1),(37,1),(65,1),(67,1)}
        25:{1,2,4,6}:{(14,1),(16,1),(36,1),(37,1),(38,1)}
        26:{2,3,4,7}:{(15,1),(16,1),(37,1)}
        27:{2,3,4,5}:{(16,1),(38,1)}
        28:{1,2,4,5,7}:{(17,1),(18,1),(30,1),(41,1),(61,1),(70,1),(87,1)}
        29:{1,3,5,6}:{(18,1),(41,1),(42,1)}
        30:{1,2,4,6,7}:{(19,1),(20,1),(28,1),(43,1),(45,1)}
        31:{1,3,5,6,7}:{(20,1),(22,1),(43,1),(45,1),(74,1)}
        32:{2,3,5,6,7}:{(21,1),(22,1),(23,1),(46,1),(49,1)}
        33:{3,4,6,7}:{(22,1),(45,1),(46,1),(47,1)}
        34:{1,2,3,6,7}:{(23,1),(24,1),(48,1),(81,1)}
        35:{2,3,4,6,7}:{(23,1),(26,1),(46,1),(48,1),(49,1),(53,1),(75,1)}
        36:{1,3,4,6}:{(25,1),(50,1),(51,1),(81,1)}
        37:{1,2,4,7}:{(24,1),(25,1),(26,1),(50,1)}
        38:{1,2,4,5}:{(25,1),(27,1),(51,1)}
        39:{2,3,4,5,7}:{(26,1),(27,1),(49,1),(52,1),(53,1),(97,1)}
        40:{1,2,3,5,6}:{(29,1),(54,1),(55,1),(83,1),(96,1),(100,1)}
        41:{1,3,5,7}:{(28,1),(29,1),(43,1),(56,1)}
        42:{1,3,4,6}:{(29,1),(55,1),(56,1),(57,1)}
        43:{1,3,6,7}:{(30,1),(41,1)}
        44:{1,2,3,5,6,7}:{(31,1),(32,1),(34,1),(58,1),(60,1),(65,1),(87,1),(89,1),(92,1),(102,1)}
        45:{1,4,6,7}:{(31,1),(33,1),(61,1)}
        46:{2,4,6,7}:{(32,1),(33,1),(62,1)}
        47:{3,4,5,7}:{(33,1),(61,1),(62,1),(63,1),(89,1)}
        48:{1,2,4,6,7}:{(34,1),(35,1),(37,1),(64,1),(65,1),(68,1)}
        49:{2,3,5,7}:{(35,1),(62,1),(65,1),(66,1),(89,1)}
        50:{1,3,4,7}:{(36,1),(37,1),(67,1)}
        51:{1,3,5}:{(36,1),(38,1)}
        52:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(65,1),(67,1),(68,1),(91,1)}
        53:{2,3,4,6}:{(39,1),(66,1),(68,1),(103,1)}
        54:{1,2,3,5,7}:{(40,1),(41,1),(58,1),(70,1),(87,1),(93,1)}
        55:{1,2,4,6}:{(40,1),(42,1),(69,1),(70,1),(71,1)}
        56:{1,3,4,7}:{(41,1),(42,1),(70,1)}
        57:{1,3,4,5}:{(42,1),(71,1)}
        58:{1,2,3,6,7}:{(43,1),(54,1),(73,1),(100,1)}
        59:{1,3,4,6,7}:{(43,1),(45,1),(56,1),(73,1),(74,1),(75,1),(85,1)}
        60:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(75,1),(76,1),(99,1),(104,1)}
        61:{1,4,5,7}:{(45,1),(47,1),(74,1),(77,1)}
        62:{2,4,5,7}:{(46,1),(47,1),(49,1),(78,1)}
        63:{3,4,5,6}:{(47,1),(77,1),(78,1),(98,1)}
        64:{1,3,4,6,7}:{(48,1),(50,1),(75,1),(79,1),(81,1),(99,1)}
        65:{1,2,5,7}:{(48,1),(49,1),(79,1),(80,1)}
        66:{2,3,5,6}:{(49,1),(53,1),(78,1),(80,1),(98,1)}
        67:{1,3,5,7}:{(50,1),(51,1),(52,1),(81,1)}
        68:{1,2,4,6}:{(52,1),(53,1),(80,1),(81,1),(99,1)}
        69:{2,3,4,6}:{(55,1),(82,1),(83,1),(100,1)}
        70:{1,2,4,7}:{(54,1),(55,1),(56,1),(82,1)}
        71:{1,2,4,5}:{(55,1),(57,1),(83,1)}
        72:{1,3,4,5,7}:{(56,1),(57,1),(74,1),(84,1),(85,1),(97,1)}
        73:{1,2,4,6,7}:{(58,1),(59,1),(70,1),(86,1),(87,1),(94,1)}
        74:{1,3,5,7}:{(59,1),(61,1),(87,1),(88,1),(89,1)}
        75:{3,4,6,7}:{(60,1),(89,1),(103,1)}
        76:{1,2,4,5,7}:{(60,1),(61,1),(62,1),(65,1),(87,1),(89,1),(90,1),(91,1),(101,1)}
        77:{1,4,5,6}:{(61,1),(63,1),(88,1)}
        78:{2,4,5,6}:{(62,1),(63,1),(66,1)}
        79:{1,3,5,7}:{(64,1),(65,1),(89,1),(91,1),(92,1)}
        80:{1,2,5,6}:{(65,1),(66,1),(68,1),(92,1)}
        81:{1,3,6}:{(67,1),(68,1)}
        82:{2,3,4,7}:{(69,1),(70,1),(93,1)}
        83:{2,3,5}:{(69,1),(71,1)}
        84:{1,2,4,5,7}:{(70,1),(71,1),(72,1),(87,1),(93,1),(94,1),(101,1)}
        85:{1,3,4,6}:{(72,1),(88,1),(94,1),(103,1)}
        86:{2,3,4,6,7}:{(73,1),(75,1),(82,1),(95,1),(100,1),(104,1)}
        87:{1,2,5,7}:{(73,1),(74,1),(95,1),(96,1)}
        88:{1,3,5,6}:{(74,1),(77,1),(85,1),(96,1),(98,1)}
        89:{3,5,7}:{(75,1),(76,1),(98,1)}
        90:{1,2,4,5,6}:{(76,1),(77,1),(78,1),(80,1),(96,1),(98,1),(99,1),(104,1)}
        91:{1,4,5,7}:{(79,1),(97,1),(99,1)}
        92:{1,3,5,6}:{(79,1),(80,1),(81,1),(98,1),(99,1)}
        93:{2,3,5,7}:{(82,1),(83,1),(84,1),(100,1)}
        94:{1,2,4,6}:{(84,1),(85,1),(96,1),(100,1),(104,1)}
        95:{2,3,5,7}:{(86,1),(87,1),(89,1),(101,1),(102,1)}
        96:{1,2,5,6}:{(87,1),(88,1),(94,1),(102,1)}
        97:{3,4,5,7}:{(89,1),(91,1),(101,1),(103,1)}
        98:{3,5,6}:{(89,1),(90,1),(103,1)}
        99:{1,4,6}:{(91,1),(92,1),(103,1)}
       100:{2,3,6}:{(93,1),(94,1)}
       101:{2,4,5,7}:{(95,1),(97,1),(104,1)}
       102:{2,3,5,6}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{3,4,6}:{(97,1),(98,1),(99,1),(104,1)}
       104:{2,4,6}:{(101,1),(102,1),(103,1)}

2239 :  0:{2,3,4,5,7}:{(3,1),(4,1),(18,1),(36,1),(68,1)}
        1:{1,3,4,5,7}:{(3,1),(5,1),(20,1),(36,1),(68,1)}
        2:{1,2,3,4,7}:{(6,1),(7,1),(53,1),(83,1)}
        3:{1,2,4,5,7}:{(0,1),(1,1),(7,1),(8,1),(23,1),(27,1),(53,1)}
        4:{2,3,4,6}:{(0,1),(8,1),(9,1),(52,1)}
        5:{1,3,4,6}:{(1,1),(8,1),(11,1),(52,1)}
        6:{1,2,3,4,6}:{(2,1),(13,1),(14,1),(37,1),(64,1),(81,1)}
        7:{1,2,3,5,7}:{(2,1),(3,1),(13,1),(14,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(5,1),(14,1),(15,1)}
        9:{2,3,5,6}:{(4,1),(15,1),(17,1),(18,1),(39,1)}
       10:{2,3,4,6,7}:{(4,1),(16,1),(18,1),(34,1),(61,1),(68,1)}
       11:{1,3,5,6}:{(5,1),(15,1),(19,1),(20,1),(39,1)}
       12:{1,3,4,6,7}:{(5,1),(16,1),(20,1),(35,1),(61,1),(68,1)}
       13:{1,2,3,5}:{(6,1),(23,1)}
       14:{1,2,3,6}:{(7,1),(8,1)}
       15:{1,2,5,6}:{(8,1),(9,1),(11,1),(27,1)}
       16:{1,2,4,6,7}:{(8,1),(10,1),(12,1),(25,1),(27,1),(53,1)}
       17:{2,4,5,6}:{(9,1),(28,1),(29,1)}
       18:{2,3,5,7}:{(9,1),(10,1),(27,1),(29,1),(56,1)}
       19:{1,4,5,6}:{(11,1),(30,1),(31,1)}
       20:{1,3,5,7}:{(11,1),(12,1),(27,1),(31,1),(56,1)}
       21:{2,3,5,6,7}:{(18,1),(33,1),(34,1),(45,1),(61,1)}
       22:{1,3,5,6,7}:{(20,1),(33,1),(35,1),(60,1),(61,1)}
       23:{1,2,4,5}:{(13,1),(36,1),(37,1)}
       24:{1,2,3,5,6}:{(13,1),(14,1),(15,1),(37,1),(38,1),(39,1),(69,1),(81,1)}
       25:{1,2,3,6,7}:{(14,1),(16,1),(38,1),(61,1),(80,1)}
       26:{1,2,4,5,6}:{(15,1),(17,1),(19,1),(37,1),(39,1),(40,1),(41,1),(43,1),(69,1)}
       27:{1,2,5,7}:{(15,1),(16,1),(18,1),(20,1)}
       28:{3,4,5,6}:{(17,1),(39,1),(41,1),(42,1)}
       29:{2,4,5,7}:{(17,1),(18,1),(34,1),(42,1)}
       30:{3,4,5,6}:{(19,1),(39,1),(43,1),(44,1)}
       31:{1,4,5,7}:{(19,1),(20,1),(35,1),(44,1)}
       32:{2,4,5,6,7}:{(34,1),(45,1)}
       33:{1,2,5,6,7}:{(21,1),(22,1),(27,1),(47,1),(59,1),(72,1)}
       34:{2,4,6,7}:{(21,1),(29,1),(48,1)}
       35:{1,4,6,7}:{(22,1),(31,1),(49,1)}
       36:{3,4,5}:{(23,1),(52,1)}
       37:{1,2,4,6}:{(23,1),(24,1),(52,1),(53,1)}
       38:{1,2,3,5,7}:{(24,1),(25,1),(27,1),(53,1),(56,1),(79,1),(83,1)}
       39:{3,5,6}:{(26,1),(52,1),(56,1)}
       40:{1,2,4,5,7}:{(26,1),(27,1),(29,1),(31,1),(47,1),(53,1),(56,1),(57,1),(58,1),(79,1)}
       41:{1,4,5,6}:{(28,1),(55,1),(57,1)}
       42:{3,4,5,7}:{(28,1),(29,1),(48,1),(56,1),(57,1)}
       43:{2,4,5,6}:{(30,1),(54,1),(58,1)}
       44:{3,4,5,7}:{(30,1),(31,1),(49,1),(56,1),(58,1)}
       45:{3,5,6,7}:{(32,1),(48,1),(59,1)}
       46:{1,4,5,6,7}:{(35,1),(60,1)}
       47:{1,2,4,6,7}:{(33,1),(34,1),(35,1),(40,1),(61,1),(62,1),(63,1),(80,1)}
       48:{3,4,6,7}:{(34,1),(42,1),(45,1),(61,1),(62,1)}
       49:{3,4,6,7}:{(35,1),(44,1),(60,1),(61,1),(63,1)}
       50:{2,3,4,5}:{(36,1),(65,1),(66,1)}
       51:{1,3,4,5}:{(36,1),(65,1),(67,1)}
       52:{3,4,6}:{(36,1),(37,1),(39,1),(68,1)}
       53:{1,2,4,7}:{(37,1),(38,1),(68,1)}
       54:{2,3,5,6}:{(39,1),(43,1),(66,1),(69,1),(70,1)}
       55:{1,3,5,6}:{(39,1),(41,1),(67,1),(69,1),(71,1)}
       56:{3,5,7}:{(39,1),(40,1),(61,1),(68,1)}
       57:{1,4,5,7}:{(41,1),(42,1),(62,1),(71,1)}
       58:{2,4,5,7}:{(43,1),(44,1),(63,1),(70,1)}
       59:{1,5,6,7}:{(45,1),(62,1)}
       60:{3,5,6,7}:{(46,1),(49,1),(72,1)}
       61:{3,6,7}:{(47,1),(56,1)}
       62:{1,4,6,7}:{(48,1),(57,1),(59,1),(74,1)}
       63:{2,4,6,7}:{(49,1),(58,1),(72,1),(73,1)}
       64:{1,2,3,4}:{(75,1)}
       65:{1,2,4,5}:{(50,1),(51,1),(75,1),(76,1)}
       66:{2,3,4,6}:{(50,1),(52,1),(54,1),(76,1),(77,1)}
       67:{1,3,4,6}:{(51,1),(52,1),(55,1),(76,1),(78,1)}
       68:{3,4,7}:{(52,1),(53,1),(56,1)}
       69:{1,2,5,6}:{(54,1),(55,1),(76,1),(79,1)}
       70:{2,3,5,7}:{(54,1),(56,1),(58,1),(73,1),(77,1),(79,1)}
       71:{1,3,5,7}:{(55,1),(56,1),(57,1),(74,1),(78,1),(79,1)}
       72:{2,5,6,7}:{(60,1),(63,1)}
       73:{2,3,6,7}:{(61,1),(63,1),(70,1),(80,1)}
       74:{1,3,6,7}:{(61,1),(62,1),(71,1),(80,1)}
       75:{1,2,3,5}:{(64,1),(65,1),(81,1)}
       76:{1,2,4,6}:{(65,1),(66,1),(67,1),(69,1),(81,1),(82,1)}
       77:{2,3,4,7}:{(66,1),(68,1),(70,1),(82,1)}
       78:{1,3,4,7}:{(67,1),(68,1),(71,1),(82,1)}
       79:{1,2,5,7}:{(69,1),(70,1),(71,1),(80,1),(82,1)}
       80:{1,2,6,7}:{(73,1),(74,1),(79,1)}
       81:{1,2,3,6}:{(75,1),(76,1),(83,1)}
       82:{1,2,4,7}:{(76,1),(77,1),(78,1),(79,1),(83,1)}
       83:{1,2,3,7}:{(81,1),(82,1)}

2240 :  0:{1,2,3,4,7}:{(1,1),(2,1),(32,1),(82,1)}
        1:{1,2,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(43,1),(74,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        3:{1,3,4,5,7}:{(5,1),(8,1),(20,1),(24,1),(47,1)}
        4:{2,3,4,5,7}:{(5,1),(9,1),(20,1),(26,1),(47,1)}
        5:{1,2,4,5,7}:{(2,1),(3,1),(4,1),(10,1),(11,1),(28,1),(32,1)}
        6:{1,2,3,5}:{(1,1),(11,1)}
        7:{1,2,3,6}:{(2,1),(10,1)}
        8:{1,3,4,6}:{(3,1),(10,1),(14,1),(31,1)}
        9:{2,3,4,6}:{(4,1),(10,1),(16,1),(31,1)}
       10:{1,2,4,6}:{(5,1),(7,1),(8,1),(9,1),(18,1)}
       11:{1,2,4,5}:{(6,1),(20,1),(21,1)}
       12:{1,2,3,5,6}:{(6,1),(7,1),(18,1),(21,1),(22,1),(41,1),(71,1),(74,1)}
       13:{1,2,3,6,7}:{(7,1),(19,1),(22,1),(70,1),(83,1)}
       14:{1,3,5,6}:{(8,1),(18,1),(23,1),(24,1),(41,1)}
       15:{1,3,4,6,7}:{(8,1),(19,1),(24,1),(47,1),(48,1),(70,1)}
       16:{2,3,5,6}:{(9,1),(18,1),(25,1),(26,1),(41,1)}
       17:{2,3,4,6,7}:{(9,1),(19,1),(26,1),(47,1),(51,1),(70,1)}
       18:{1,2,5,6}:{(10,1),(14,1),(16,1),(28,1)}
       19:{1,2,4,6,7}:{(10,1),(13,1),(15,1),(17,1),(28,1),(32,1)}
       20:{3,4,5}:{(11,1),(31,1)}
       21:{1,2,4,6}:{(11,1),(12,1),(31,1),(32,1)}
       22:{1,2,3,5,7}:{(12,1),(13,1),(28,1),(32,1),(59,1),(81,1),(82,1)}
       23:{1,4,5,6}:{(14,1),(34,1),(35,1)}
       24:{1,3,5,7}:{(14,1),(15,1),(28,1),(35,1),(59,1)}
       25:{2,4,5,6}:{(16,1),(37,1),(38,1)}
       26:{2,3,5,7}:{(16,1),(17,1),(28,1),(38,1),(59,1)}
       27:{1,2,4,5,6}:{(18,1),(21,1),(23,1),(25,1),(41,1),(42,1),(49,1),(52,1),(71,1)}
       28:{1,2,5,7}:{(18,1),(19,1),(24,1),(26,1)}
       29:{2,3,4,5}:{(20,1),(44,1),(45,1)}
       30:{1,3,4,5}:{(20,1),(44,1),(46,1)}
       31:{3,4,6}:{(20,1),(21,1),(41,1),(47,1)}
       32:{1,2,4,7}:{(21,1),(22,1),(47,1)}
       33:{1,3,5,6,7}:{(24,1),(40,1),(48,1),(69,1),(70,1)}
       34:{3,4,5,6}:{(23,1),(41,1),(49,1),(50,1)}
       35:{1,4,5,7}:{(23,1),(24,1),(48,1),(50,1)}
       36:{2,3,5,6,7}:{(26,1),(40,1),(51,1),(54,1),(70,1)}
       37:{3,4,5,6}:{(25,1),(41,1),(52,1),(53,1)}
       38:{2,4,5,7}:{(25,1),(26,1),(51,1),(53,1)}
       39:{2,4,5,6,7}:{(51,1),(54,1)}
       40:{1,2,5,6,7}:{(28,1),(33,1),(36,1),(56,1),(68,1),(78,1)}
       41:{3,5,6}:{(27,1),(31,1),(59,1)}
       42:{1,2,4,5,7}:{(27,1),(28,1),(32,1),(35,1),(38,1),(56,1),(59,1),(65,1),(67,1),(81,1)}
       43:{1,2,3,4}:{(60,1)}
       44:{1,2,4,5}:{(29,1),(30,1),(60,1),(61,1)}
       45:{2,3,4,6}:{(29,1),(31,1),(57,1),(61,1),(62,1)}
       46:{1,3,4,6}:{(30,1),(31,1),(58,1),(61,1),(63,1)}
       47:{3,4,7}:{(31,1),(32,1),(59,1)}
       48:{1,4,6,7}:{(33,1),(35,1),(64,1)}
       49:{2,4,5,6}:{(34,1),(57,1),(65,1)}
       50:{3,4,5,7}:{(34,1),(35,1),(59,1),(64,1),(65,1)}
       51:{2,4,6,7}:{(36,1),(38,1),(66,1)}
       52:{1,4,5,6}:{(37,1),(58,1),(67,1)}
       53:{3,4,5,7}:{(37,1),(38,1),(59,1),(66,1),(67,1)}
       54:{3,5,6,7}:{(39,1),(66,1),(68,1)}
       55:{1,4,5,6,7}:{(48,1),(69,1)}
       56:{1,2,4,6,7}:{(40,1),(42,1),(48,1),(51,1),(70,1),(76,1),(77,1),(83,1)}
       57:{2,3,5,6}:{(41,1),(45,1),(49,1),(71,1),(72,1)}
       58:{1,3,5,6}:{(41,1),(46,1),(52,1),(71,1),(73,1)}
       59:{3,5,7}:{(41,1),(42,1),(47,1),(70,1)}
       60:{1,2,3,5}:{(43,1),(44,1),(74,1)}
       61:{1,2,4,6}:{(44,1),(45,1),(46,1),(71,1),(74,1),(75,1)}
       62:{2,3,4,7}:{(45,1),(47,1),(72,1),(75,1)}
       63:{1,3,4,7}:{(46,1),(47,1),(73,1),(75,1)}
       64:{3,4,6,7}:{(48,1),(50,1),(69,1),(70,1),(76,1)}
       65:{2,4,5,7}:{(49,1),(50,1),(72,1),(76,1)}
       66:{3,4,6,7}:{(51,1),(53,1),(54,1),(70,1),(77,1)}
       67:{1,4,5,7}:{(52,1),(53,1),(73,1),(77,1)}
       68:{1,5,6,7}:{(54,1),(77,1)}
       69:{3,5,6,7}:{(55,1),(64,1),(78,1)}
       70:{3,6,7}:{(56,1),(59,1)}
       71:{1,2,5,6}:{(57,1),(58,1),(61,1),(81,1)}
       72:{2,3,5,7}:{(57,1),(59,1),(62,1),(65,1),(79,1),(81,1)}
       73:{1,3,5,7}:{(58,1),(59,1),(63,1),(67,1),(80,1),(81,1)}
       74:{1,2,3,6}:{(60,1),(61,1),(82,1)}
       75:{1,2,4,7}:{(61,1),(62,1),(63,1),(81,1),(82,1)}
       76:{2,4,6,7}:{(64,1),(65,1),(78,1),(79,1)}
       77:{1,4,6,7}:{(66,1),(67,1),(68,1),(80,1)}
       78:{2,5,6,7}:{(69,1),(76,1)}
       79:{2,3,6,7}:{(70,1),(72,1),(76,1),(83,1)}
       80:{1,3,6,7}:{(70,1),(73,1),(77,1),(83,1)}
       81:{1,2,5,7}:{(71,1),(72,1),(73,1),(75,1),(83,1)}
       82:{1,2,3,7}:{(74,1),(75,1)}
       83:{1,2,6,7}:{(79,1),(80,1),(81,1)}

2241 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{1,3,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{1,3,4,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,2,4,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{1,3,4,5,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,4,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,2,4,5,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{1,3,4,5,6}:{(6,1),(12,1),(27,1)}
       10:{1,2,3,4,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,3,5,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6}:{(8,1),(9,1),(16,1),(23,1)}
       13:{1,3,4,5,6,7}:{(9,1),(17,1),(32,1)}
       14:{1,2,3,5,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,5,7}:{(11,1),(18,1),(20,1)}
       16:{2,3,5,6}:{(11,1),(12,1),(20,1)}
       17:{1,2,4,5,6,7}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,2,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(14,1),(16,1),(23,1),(31,1)}
       20:{2,3,4,6}:{(15,1),(16,1),(23,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(26,1)}
       22:{1,3,4,5,7}:{(18,1),(27,1),(34,1)}
       23:{1,2,4,6}:{(18,1),(19,1),(20,1),(27,1)}
       24:{1,2,3,5,6,7}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,6}:{(20,1),(28,1),(30,1)}
       26:{2,3,4,6,7}:{(20,1),(21,1),(29,1),(30,1)}
       27:{1,3,4,6}:{(22,1),(23,1),(31,1)}
       28:{1,2,4,5,6}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,5,7}:{(25,1),(26,1),(33,1)}
       31:{1,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{1,3,4,6,7}:{(27,1),(29,1),(34,1)}
       33:{1,2,4,5,7}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,3,5,7}:{(31,1),(32,1),(33,1)}

2242 :   0:{1,3,4,5,6}:{(2,1),(3,1),(37,1),(66,1),(77,1)}
         1:{1,2,3,4,6}:{(5,1),(6,1),(27,1),(29,1)}
         2:{1,2,4,5,6}:{(0,1),(8,1),(9,1),(27,1),(56,1),(61,1)}
         3:{1,3,4,5,7}:{(0,1),(9,1),(10,1),(52,1),(83,1),(96,1)}
         4:{2,3,4,5,6}:{(11,1),(12,1),(18,1),(46,1),(100,1)}
         5:{1,2,3,4,7}:{(1,1),(15,1),(42,1)}
         6:{1,2,3,5}:{(1,1),(13,1)}
         7:{2,3,4,5}:{(13,1),(18,1)}
         8:{2,3,5,6}:{(2,1),(18,1),(19,1)}
         9:{1,2,4,5,7}:{(2,1),(3,1),(19,1),(20,1),(42,1),(72,1),(78,1)}
        10:{1,3,4,6,7}:{(3,1),(20,1),(21,1),(79,1)}
        11:{1,2,4,5,6}:{(4,1),(23,1),(24,1),(27,1),(56,1),(82,1)}
        12:{2,3,4,5,7}:{(4,1),(24,1),(25,1),(32,1),(62,1),(119,1)}
        13:{1,2,4,5}:{(6,1),(7,1),(22,1),(27,1)}
        14:{1,2,3,4,6,7}:{(5,1),(28,1),(29,1),(57,1),(59,1),(89,1),(93,1),(127,1),(128,1)}
        15:{1,2,3,5,7}:{(5,1),(6,1),(26,1),(29,1)}
        16:{1,2,3,5,6}:{(6,1),(8,1),(23,1),(27,1),(29,1),(30,1),(56,1)}
        17:{2,3,4,5,7}:{(7,1),(26,1),(31,1),(32,1),(58,1),(62,1)}
        18:{2,3,4,6}:{(7,1),(8,1),(27,1),(32,1)}
        19:{2,3,5,7}:{(8,1),(9,1),(32,1),(33,1)}
        20:{1,2,4,6,7}:{(9,1),(10,1),(33,1),(34,1),(63,1)}
        21:{1,3,5,6,7}:{(10,1),(34,1),(35,1),(64,1),(83,1)}
        22:{1,3,4,5}:{(13,1),(37,1)}
        23:{1,3,5,6}:{(11,1),(37,1),(38,1)}
        24:{1,2,4,5,7}:{(11,1),(12,1),(38,1),(39,1),(42,1),(72,1),(101,1)}
        25:{2,3,4,6,7}:{(12,1),(39,1),(40,1),(102,1)}
        26:{1,2,4,5,7}:{(13,1),(15,1),(17,1),(36,1),(41,1),(42,1),(72,1)}
        27:{1,2,4,6}:{(13,1),(16,1),(18,1),(37,1),(42,1)}
        28:{1,2,3,5,7}:{(14,1),(43,1),(44,1),(72,1),(108,1),(139,1)}
        29:{1,2,3,6}:{(15,1),(41,1)}
        30:{1,2,3,5,7}:{(16,1),(19,1),(38,1),(42,1),(45,1),(72,1)}
        31:{2,3,4,6}:{(17,1),(41,1),(46,1),(75,1)}
        32:{2,3,4,7}:{(18,1),(19,1),(42,1)}
        33:{2,3,6,7}:{(19,1),(20,1)}
        34:{1,2,5,6,7}:{(20,1),(21,1),(48,1),(72,1)}
        35:{1,4,5,6,7}:{(21,1),(50,1),(101,1)}
        36:{1,3,4,5,7}:{(22,1),(26,1),(51,1),(52,1),(58,1),(83,1)}
        37:{1,3,4,6}:{(22,1),(23,1),(27,1),(52,1)}
        38:{1,3,5,7}:{(23,1),(24,1),(52,1),(53,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(53,1),(54,1),(84,1)}
        40:{2,3,5,6,7}:{(25,1),(54,1),(55,1),(62,1),(85,1)}
        41:{1,2,4,6}:{(26,1),(29,1),(31,1),(51,1),(56,1)}
        42:{1,2,4,7}:{(27,1),(30,1),(32,1),(52,1)}
        43:{1,2,4,5,7}:{(28,1),(58,1),(59,1)}
        44:{1,2,3,5,6}:{(28,1),(29,1),(56,1),(59,1),(87,1),(124,1),(127,1)}
        45:{1,2,3,6,7}:{(29,1),(30,1),(33,1),(53,1),(57,1)}
        46:{2,3,5,6}:{(31,1),(56,1),(61,1),(62,1),(87,1)}
        47:{2,3,4,6,7}:{(31,1),(32,1),(33,1),(57,1),(62,1),(63,1),(93,1)}
        48:{2,3,5,6,7}:{(33,1),(34,1),(62,1),(63,1),(64,1)}
        49:{1,2,4,5,6,7}:{(34,1),(35,1),(63,1),(64,1),(65,1),(88,1),(98,1),(99,1)}
        50:{3,4,5,6,7}:{(35,1),(64,1),(65,1),(119,1)}
        51:{1,3,4,6}:{(36,1),(41,1),(66,1),(75,1)}
        52:{1,3,4,7}:{(37,1),(38,1),(42,1)}
        53:{1,3,6,7}:{(38,1),(39,1)}
        54:{1,2,5,6,7}:{(39,1),(40,1),(68,1),(72,1)}
        55:{2,4,5,6,7}:{(40,1),(70,1),(78,1)}
        56:{1,2,5,6}:{(41,1),(46,1),(66,1),(72,1)}
        57:{1,2,4,6,7}:{(41,1),(42,1),(45,1),(47,1),(67,1),(72,1)}
        58:{3,4,5,7}:{(43,1),(75,1),(108,1)}
        59:{1,2,4,6}:{(43,1),(44,1),(75,1)}
        60:{1,2,3,5,6,7}:{(44,1),(45,1),(48,1),(68,1),(72,1),(76,1),(81,1),(103,1),(108,1),(139,1),(140,1)}
        61:{2,4,5,6}:{(46,1),(77,1),(78,1)}
        62:{2,3,5,7}:{(46,1),(47,1),(72,1),(78,1),(108,1)}
        63:{2,4,6,7}:{(48,1),(78,1),(79,1)}
        64:{3,5,6,7}:{(49,1),(79,1),(108,1)}
        65:{2,4,5,6,7}:{(50,1),(80,1),(134,1)}
        66:{1,3,5,6}:{(51,1),(56,1),(82,1),(83,1),(87,1)}
        67:{1,3,4,6,7}:{(51,1),(52,1),(53,1),(57,1),(83,1),(84,1),(93,1)}
        68:{1,3,5,6,7}:{(53,1),(54,1),(83,1),(84,1),(85,1)}
        69:{1,2,4,5,6,7}:{(54,1),(55,1),(84,1),(85,1),(86,1),(88,1),(120,1),(122,1)}
        70:{3,4,5,6,7}:{(55,1),(85,1),(86,1),(96,1)}
        71:{1,2,4,5,6}:{(56,1),(59,1),(61,1),(82,1),(87,1),(88,1),(95,1),(117,1),(124,1)}
        72:{1,2,5,7}:{(56,1),(57,1),(62,1),(83,1)}
        73:{2,3,4,5,7}:{(58,1),(90,1),(91,1),(125,1),(143,1),(153,1)}
        74:{1,3,4,5,7}:{(58,1),(90,1),(92,1),(126,1),(129,1),(149,1)}
        75:{3,4,6}:{(58,1),(59,1),(87,1)}
        76:{1,2,4,6,7}:{(59,1),(60,1),(63,1),(84,1),(88,1),(93,1),(98,1),(120,1)}
        77:{3,4,5,6}:{(61,1),(87,1),(95,1),(96,1)}
        78:{2,4,5,7}:{(61,1),(62,1),(63,1),(96,1)}
        79:{3,4,6,7}:{(63,1),(64,1),(96,1),(98,1)}
        80:{2,3,5,6,7}:{(64,1),(65,1),(97,1),(99,1),(125,1)}
        81:{1,3,5,6,7}:{(64,1),(98,1),(99,1),(126,1),(132,1)}
        82:{1,4,5,6}:{(66,1),(100,1),(101,1)}
        83:{1,3,5,7}:{(66,1),(67,1),(72,1),(101,1),(108,1)}
        84:{1,4,6,7}:{(68,1),(101,1),(102,1)}
        85:{3,5,6,7}:{(69,1),(102,1),(108,1)}
        86:{1,4,5,6,7}:{(70,1),(104,1),(115,1)}
        87:{3,5,6}:{(71,1),(75,1),(108,1)}
        88:{1,2,4,5,7}:{(71,1),(72,1),(76,1),(78,1),(101,1),(108,1),(115,1),(134,1),(139,1)}
        89:{1,2,3,4,7}:{(105,1),(109,1),(152,1)}
        90:{1,2,4,5,7}:{(73,1),(74,1),(109,1),(110,1),(137,1),(139,1),(152,1)}
        91:{2,3,4,6}:{(73,1),(75,1),(106,1),(110,1)}
        92:{1,3,4,6}:{(74,1),(75,1),(107,1),(110,1)}
        93:{3,4,6,7}:{(75,1),(76,1),(108,1)}
        94:{2,3,4,5,6}:{(77,1),(106,1),(113,1),(114,1),(150,1)}
        95:{1,4,5,6}:{(77,1),(107,1),(115,1)}
        96:{3,4,5,7}:{(77,1),(78,1),(79,1),(108,1),(115,1)}
        97:{2,3,4,6,7}:{(79,1),(80,1),(114,1),(116,1)}
        98:{1,4,6,7}:{(79,1),(81,1),(115,1)}
        99:{1,2,5,6,7}:{(80,1),(81,1),(116,1),(139,1)}
       100:{3,4,5,6}:{(82,1),(87,1),(117,1),(119,1)}
       101:{1,4,5,7}:{(82,1),(83,1),(84,1),(119,1)}
       102:{3,4,6,7}:{(84,1),(85,1),(119,1),(120,1)}
       103:{2,3,5,6,7}:{(85,1),(120,1),(122,1),(125,1),(146,1)}
       104:{1,3,5,6,7}:{(85,1),(86,1),(121,1),(122,1),(126,1)}
       105:{1,2,3,4,6}:{(89,1),(123,1),(127,1),(147,1)}
       106:{2,3,5,6}:{(87,1),(91,1),(117,1),(124,1),(125,1)}
       107:{1,3,5,6}:{(87,1),(92,1),(95,1),(124,1),(126,1)}
       108:{3,5,7}:{(87,1),(88,1),(93,1)}
       109:{1,2,3,5,7}:{(89,1),(90,1),(123,1),(127,1)}
       110:{1,2,4,6}:{(90,1),(91,1),(92,1),(124,1),(127,1)}
       111:{2,3,4,6,7}:{(91,1),(93,1),(120,1),(125,1),(128,1),(146,1),(153,1)}
       112:{1,3,4,6,7}:{(92,1),(93,1),(98,1),(126,1),(128,1),(132,1),(149,1)}
       113:{1,2,4,5,6}:{(94,1),(95,1),(124,1),(130,1),(131,1),(147,1)}
       114:{2,3,4,5,7}:{(94,1),(96,1),(97,1),(125,1),(131,1),(153,1)}
       115:{1,4,5,7}:{(95,1),(96,1),(98,1),(126,1)}
       116:{1,2,4,6,7}:{(97,1),(98,1),(99,1),(131,1),(132,1)}
       117:{2,4,5,6}:{(100,1),(106,1),(134,1)}
       118:{1,3,4,5,6}:{(100,1),(107,1),(133,1),(135,1),(141,1)}
       119:{3,4,5,7}:{(100,1),(101,1),(102,1),(108,1),(134,1)}
       120:{2,4,6,7}:{(102,1),(103,1),(134,1)}
       121:{1,3,4,6,7}:{(102,1),(104,1),(135,1),(136,1)}
       122:{1,2,5,6,7}:{(103,1),(104,1),(136,1),(139,1)}
       123:{1,2,3,5}:{(105,1),(137,1)}
       124:{1,2,5,6}:{(106,1),(107,1),(110,1),(139,1)}
       125:{2,3,5,7}:{(106,1),(108,1),(111,1),(134,1),(139,1)}
       126:{1,3,5,7}:{(107,1),(108,1),(112,1),(115,1),(139,1)}
       127:{1,2,3,6}:{(109,1),(110,1)}
       128:{1,2,4,6,7}:{(110,1),(111,1),(112,1),(139,1),(140,1),(152,1)}
       129:{1,3,4,5}:{(137,1),(141,1)}
       130:{1,3,5,6}:{(113,1),(141,1),(142,1)}
       131:{1,2,4,5,7}:{(113,1),(114,1),(115,1),(116,1),(139,1),(142,1),(152,1)}
       132:{1,3,6,7}:{(116,1),(142,1)}
       133:{1,2,4,5,6}:{(117,1),(118,1),(124,1),(144,1),(145,1),(147,1)}
       134:{2,4,5,7}:{(117,1),(119,1),(120,1),(125,1)}
       135:{1,3,4,5,7}:{(118,1),(119,1),(121,1),(126,1),(145,1),(149,1)}
       136:{1,2,4,6,7}:{(120,1),(121,1),(122,1),(145,1),(146,1)}
       137:{1,2,4,5}:{(123,1),(129,1),(143,1),(147,1)}
       138:{1,2,3,5,6}:{(123,1),(124,1),(127,1),(130,1),(144,1),(147,1),(148,1)}
       139:{1,2,5,7}:{(124,1),(125,1),(126,1),(128,1)}
       140:{1,2,3,6,7}:{(127,1),(128,1),(132,1),(146,1),(148,1)}
       141:{1,3,4,6}:{(129,1),(130,1),(147,1),(149,1)}
       142:{1,3,5,7}:{(130,1),(131,1),(132,1),(149,1)}
       143:{2,3,4,5}:{(137,1),(150,1)}
       144:{2,3,5,6}:{(133,1),(150,1),(151,1)}
       145:{1,2,4,5,7}:{(133,1),(134,1),(135,1),(136,1),(139,1),(151,1),(152,1)}
       146:{2,3,6,7}:{(136,1),(151,1)}
       147:{1,2,4,6}:{(137,1),(138,1),(141,1),(150,1),(152,1)}
       148:{1,2,3,5,7}:{(138,1),(139,1),(140,1),(142,1),(151,1),(152,1)}
       149:{1,3,4,7}:{(141,1),(142,1),(152,1)}
       150:{2,3,4,6}:{(143,1),(144,1),(147,1),(153,1)}
       151:{2,3,5,7}:{(144,1),(145,1),(146,1),(153,1)}
       152:{1,2,4,7}:{(147,1),(148,1),(149,1),(153,1)}
       153:{2,3,4,7}:{(150,1),(151,1),(152,1)}

2243 :   0:{1,3,4,5,6}:{(1,1),(2,1),(35,1),(117,1),(130,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(54,1),(96,1),(112,1)}
         2:{1,2,4,5,6}:{(0,1),(5,1),(6,1),(20,1),(102,1),(113,1)}
         3:{2,3,4,5,6}:{(7,1),(8,1),(15,1),(92,1),(145,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(90,1)}
         5:{1,2,4,5,7}:{(1,1),(2,1),(13,1),(14,1),(37,1),(80,1),(91,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(15,1)}
         7:{2,3,4,5,7}:{(3,1),(16,1),(17,1),(29,1),(70,1),(132,1)}
         8:{1,2,4,5,6}:{(3,1),(17,1),(18,1),(20,1),(102,1),(133,1)}
         9:{1,2,3,5,6}:{(6,1),(18,1),(19,1),(20,1),(24,1),(66,1),(102,1)}
        10:{1,2,3,4,6}:{(20,1),(23,1),(24,1),(66,1)}
        11:{3,4,5,6,7}:{(25,1),(26,1),(68,1),(132,1)}
        12:{1,3,5,6,7}:{(4,1),(25,1),(27,1),(68,1),(96,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(27,1),(28,1),(69,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(28,1),(29,1)}
        15:{2,3,4,6}:{(6,1),(20,1),(29,1),(30,1)}
        16:{2,3,4,6,7}:{(7,1),(32,1),(33,1),(115,1)}
        17:{1,2,4,5,7}:{(7,1),(8,1),(33,1),(34,1),(37,1),(80,1),(116,1)}
        18:{1,3,5,6}:{(8,1),(34,1),(35,1)}
        19:{1,2,3,5,7}:{(9,1),(14,1),(34,1),(36,1),(37,1),(80,1)}
        20:{1,2,4,6}:{(9,1),(15,1),(35,1),(37,1),(38,1)}
        21:{2,3,4,5,6}:{(39,1),(40,1),(86,1),(130,1),(148,1)}
        22:{1,3,4,5,6}:{(41,1),(42,1),(84,1),(145,1),(147,1)}
        23:{1,2,3,4,7}:{(10,1),(37,1),(44,1)}
        24:{1,2,3,5}:{(10,1),(38,1)}
        25:{1,4,5,6,7}:{(11,1),(12,1),(116,1)}
        26:{2,4,5,6,7}:{(11,1),(45,1),(144,1)}
        27:{1,2,5,6,7}:{(12,1),(13,1),(47,1),(80,1)}
        28:{2,3,6,7}:{(13,1),(14,1)}
        29:{2,3,4,7}:{(14,1),(15,1),(37,1)}
        30:{2,3,4,5}:{(15,1),(38,1)}
        31:{3,4,5,6,7}:{(50,1),(51,1),(94,1),(112,1)}
        32:{2,3,5,6,7}:{(16,1),(51,1),(52,1),(70,1),(94,1)}
        33:{1,2,4,6,7}:{(16,1),(17,1),(52,1),(53,1),(95,1)}
        34:{1,3,5,7}:{(17,1),(18,1),(53,1),(54,1)}
        35:{1,3,4,6}:{(18,1),(20,1),(54,1),(55,1)}
        36:{1,2,3,6,7}:{(19,1),(28,1),(53,1),(59,1),(66,1)}
        37:{1,2,4,7}:{(19,1),(20,1),(29,1),(54,1)}
        38:{1,2,4,5}:{(20,1),(24,1),(30,1),(55,1)}
        39:{2,3,4,5,7}:{(21,1),(56,1),(61,1),(107,1),(112,1),(136,1)}
        40:{1,2,4,5,6}:{(21,1),(61,1),(62,1),(104,1),(143,1),(152,1)}
        41:{1,3,4,5,7}:{(22,1),(57,1),(63,1),(105,1),(132,1),(135,1)}
        42:{1,2,4,5,6}:{(22,1),(63,1),(64,1),(104,1),(151,1),(152,1)}
        43:{1,2,3,4,6,7}:{(23,1),(59,1),(65,1),(66,1),(100,1),(110,1),(134,1),(138,1),(153,1)}
        44:{1,2,3,5,7}:{(23,1),(24,1),(60,1),(66,1)}
        45:{2,3,5,6,7}:{(26,1),(56,1),(67,1),(68,1),(136,1)}
        46:{1,2,4,5,6,7}:{(25,1),(26,1),(27,1),(67,1),(68,1),(69,1),(101,1),(111,1)}
        47:{2,3,5,6,7}:{(27,1),(28,1),(68,1),(69,1),(70,1)}
        48:{2,3,4,6,7}:{(28,1),(29,1),(59,1),(69,1),(70,1),(71,1),(100,1)}
        49:{2,3,4,5,7}:{(29,1),(30,1),(60,1),(70,1),(71,1),(109,1)}
        50:{1,4,5,6,7}:{(31,1),(72,1),(129,1)}
        51:{2,4,5,6,7}:{(31,1),(32,1),(91,1)}
        52:{1,2,5,6,7}:{(32,1),(33,1),(74,1),(80,1)}
        53:{1,3,6,7}:{(33,1),(34,1)}
        54:{1,3,4,7}:{(34,1),(35,1),(37,1)}
        55:{1,3,4,5}:{(35,1),(38,1)}
        56:{2,3,4,6,7}:{(39,1),(45,1),(77,1),(90,1)}
        57:{1,3,4,6,7}:{(41,1),(72,1),(78,1),(115,1)}
        58:{1,2,3,5,6,7}:{(36,1),(47,1),(74,1),(79,1),(80,1),(88,1),(89,1),(114,1),(118,1),(121,1),(146,1)}
        59:{1,2,4,6,7}:{(36,1),(37,1),(48,1),(75,1),(80,1),(81,1)}
        60:{1,2,4,5,7}:{(37,1),(38,1),(44,1),(49,1),(76,1),(80,1),(81,1)}
        61:{1,2,4,5,7}:{(39,1),(40,1),(77,1),(83,1),(124,1),(129,1),(146,1)}
        62:{1,3,5,6}:{(40,1),(83,1),(84,1)}
        63:{1,2,4,5,7}:{(41,1),(42,1),(78,1),(85,1),(124,1),(144,1),(146,1)}
        64:{2,3,5,6}:{(42,1),(85,1),(86,1)}
        65:{1,2,3,5,7}:{(43,1),(80,1),(87,1),(88,1),(121,1),(146,1)}
        66:{1,2,3,6}:{(44,1),(81,1)}
        67:{1,2,5,6,7}:{(45,1),(77,1),(89,1),(146,1)}
        68:{3,5,6,7}:{(46,1),(90,1),(121,1)}
        69:{2,4,6,7}:{(47,1),(90,1),(91,1)}
        70:{2,3,5,7}:{(48,1),(80,1),(91,1),(92,1),(121,1)}
        71:{2,3,4,6}:{(49,1),(81,1),(92,1),(128,1)}
        72:{1,3,5,6,7}:{(50,1),(57,1),(93,1),(94,1),(135,1)}
        73:{1,2,4,5,6,7}:{(50,1),(51,1),(52,1),(93,1),(94,1),(95,1),(101,1),(131,1)}
        74:{1,3,5,6,7}:{(52,1),(53,1),(94,1),(95,1),(96,1)}
        75:{1,3,4,6,7}:{(53,1),(54,1),(59,1),(95,1),(96,1),(97,1),(100,1)}
        76:{1,3,4,5,7}:{(54,1),(55,1),(60,1),(96,1),(97,1),(109,1)}
        77:{1,2,4,6,7}:{(56,1),(61,1),(67,1),(98,1),(111,1)}
        78:{1,2,4,6,7}:{(57,1),(63,1),(93,1),(99,1),(131,1)}
        79:{1,2,4,6,7}:{(58,1),(69,1),(95,1),(100,1),(101,1),(110,1),(111,1),(131,1)}
        80:{1,2,5,7}:{(59,1),(70,1),(96,1),(102,1)}
        81:{1,2,4,6}:{(60,1),(66,1),(71,1),(97,1),(102,1)}
        82:{1,2,3,5,6}:{(62,1),(64,1),(103,1),(104,1),(139,1),(152,1),(153,1)}
        83:{1,3,5,7}:{(61,1),(62,1),(98,1),(105,1)}
        84:{1,3,4,6}:{(62,1),(104,1),(105,1),(106,1)}
        85:{2,3,5,7}:{(63,1),(64,1),(99,1),(107,1)}
        86:{2,3,4,6}:{(64,1),(104,1),(107,1),(108,1)}
        87:{1,2,4,5,7}:{(65,1),(109,1),(110,1)}
        88:{1,2,3,5,6}:{(65,1),(66,1),(102,1),(110,1),(137,1),(152,1),(153,1)}
        89:{1,3,5,6,7}:{(67,1),(68,1),(98,1),(111,1),(135,1)}
        90:{3,4,6,7}:{(68,1),(69,1),(111,1),(112,1)}
        91:{2,4,5,7}:{(69,1),(70,1),(112,1),(113,1)}
        92:{2,3,5,6}:{(70,1),(71,1),(102,1),(113,1),(137,1)}
        93:{1,2,5,6,7}:{(72,1),(78,1),(114,1),(146,1)}
        94:{3,5,6,7}:{(73,1),(115,1),(121,1)}
        95:{1,4,6,7}:{(74,1),(115,1),(116,1)}
        96:{1,3,5,7}:{(75,1),(80,1),(116,1),(117,1),(121,1)}
        97:{1,3,4,6}:{(76,1),(81,1),(117,1),(128,1)}
        98:{1,3,6,7}:{(77,1),(83,1)}
        99:{2,3,6,7}:{(78,1),(85,1)}
       100:{3,4,6,7}:{(79,1),(121,1),(128,1)}
       101:{1,2,4,5,7}:{(79,1),(80,1),(91,1),(116,1),(121,1),(122,1),(129,1),(144,1),(146,1)}
       102:{1,2,5,6}:{(80,1),(81,1),(92,1),(117,1)}
       103:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(118,1),(124,1),(146,1)}
       104:{1,2,4,6}:{(82,1),(84,1),(86,1),(124,1),(125,1)}
       105:{1,3,4,7}:{(83,1),(84,1),(124,1)}
       106:{1,3,4,5}:{(84,1),(125,1)}
       107:{2,3,4,7}:{(85,1),(86,1),(124,1)}
       108:{2,3,4,5}:{(86,1),(125,1)}
       109:{3,4,5,7}:{(87,1),(121,1),(128,1)}
       110:{1,2,4,6}:{(87,1),(88,1),(128,1)}
       111:{1,4,6,7}:{(89,1),(90,1),(129,1)}
       112:{3,4,5,7}:{(90,1),(91,1),(121,1),(129,1),(130,1)}
       113:{2,4,5,6}:{(91,1),(92,1),(130,1)}
       114:{2,3,5,6,7}:{(93,1),(94,1),(99,1),(131,1),(136,1)}
       115:{3,4,6,7}:{(94,1),(95,1),(131,1),(132,1)}
       116:{1,4,5,7}:{(95,1),(96,1),(132,1),(133,1)}
       117:{1,3,5,6}:{(96,1),(97,1),(102,1),(133,1),(137,1)}
       118:{1,2,3,6,7}:{(98,1),(99,1),(103,1),(134,1),(153,1)}
       119:{1,3,4,6,7}:{(98,1),(100,1),(105,1),(111,1),(134,1),(135,1),(141,1)}
       120:{2,3,4,6,7}:{(99,1),(100,1),(107,1),(131,1),(134,1),(136,1),(142,1)}
       121:{3,5,7}:{(100,1),(101,1),(137,1)}
       122:{1,2,4,5,6}:{(101,1),(102,1),(110,1),(113,1),(133,1),(137,1),(143,1),(151,1),(152,1)}
       123:{1,2,3,4,6}:{(104,1),(138,1),(139,1),(153,1)}
       124:{1,2,4,7}:{(103,1),(104,1),(105,1),(107,1)}
       125:{1,2,4,5}:{(104,1),(106,1),(108,1),(139,1)}
       126:{1,3,4,5,7}:{(105,1),(106,1),(109,1),(135,1),(140,1),(141,1)}
       127:{2,3,4,5,7}:{(107,1),(108,1),(109,1),(136,1),(140,1),(142,1)}
       128:{3,4,6}:{(109,1),(110,1),(137,1)}
       129:{1,4,5,7}:{(111,1),(112,1),(135,1),(143,1)}
       130:{3,4,5,6}:{(112,1),(113,1),(137,1),(143,1)}
       131:{2,4,6,7}:{(114,1),(115,1),(144,1)}
       132:{3,4,5,7}:{(115,1),(116,1),(121,1),(144,1),(145,1)}
       133:{1,4,5,6}:{(116,1),(117,1),(145,1)}
       134:{1,2,4,6,7}:{(118,1),(119,1),(120,1),(124,1),(146,1),(150,1)}
       135:{1,3,5,7}:{(119,1),(121,1),(129,1),(146,1),(147,1)}
       136:{2,3,5,7}:{(120,1),(121,1),(144,1),(146,1),(148,1)}
       137:{3,5,6}:{(121,1),(122,1),(128,1)}
       138:{1,2,3,4,7}:{(123,1),(124,1),(149,1)}
       139:{1,2,3,5}:{(123,1),(125,1)}
       140:{1,2,4,5,7}:{(124,1),(125,1),(126,1),(127,1),(146,1),(149,1),(150,1)}
       141:{1,3,4,6}:{(126,1),(128,1),(147,1),(150,1)}
       142:{2,3,4,6}:{(127,1),(128,1),(148,1),(150,1)}
       143:{1,4,5,6}:{(129,1),(130,1),(147,1)}
       144:{2,4,5,7}:{(131,1),(132,1),(136,1),(151,1)}
       145:{3,4,5,6}:{(132,1),(133,1),(137,1),(151,1)}
       146:{1,2,5,7}:{(134,1),(135,1),(136,1),(152,1)}
       147:{1,3,5,6}:{(135,1),(137,1),(141,1),(143,1),(152,1)}
       148:{2,3,5,6}:{(136,1),(137,1),(142,1),(151,1),(152,1)}
       149:{1,2,3,5,7}:{(138,1),(139,1),(140,1),(153,1)}
       150:{1,2,4,6}:{(140,1),(141,1),(142,1),(152,1),(153,1)}
       151:{2,4,5,6}:{(144,1),(145,1),(148,1)}
       152:{1,2,5,6}:{(146,1),(147,1),(148,1),(150,1)}
       153:{1,2,3,6}:{(149,1),(150,1)}

2244 :  0:{1,2,3,4,7}:{(1,1),(2,1),(31,1),(55,1)}
        1:{1,2,3,4,6}:{(0,1),(4,1),(6,1),(16,1),(18,1),(40,1)}
        2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        3:{2,3,4,5,7}:{(5,1),(7,1),(17,1),(23,1),(44,1)}
        4:{1,2,3,5}:{(1,1),(9,1)}
        5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(11,1),(31,1),(32,1)}
        6:{1,2,3,6}:{(2,1),(11,1)}
        7:{2,3,4,6}:{(3,1),(11,1),(13,1),(29,1)}
        8:{1,3,4,5,7}:{(5,1),(15,1),(17,1),(38,1),(44,1)}
        9:{1,2,4,5}:{(4,1),(17,1),(18,1)}
       10:{1,2,3,5,6}:{(4,1),(6,1),(18,1),(19,1),(20,1),(40,1),(43,1),(68,1)}
       11:{1,2,4,6}:{(5,1),(6,1),(7,1),(15,1),(20,1)}
       12:{1,2,3,6,7}:{(6,1),(19,1),(21,1),(72,1),(82,1)}
       13:{2,3,5,6}:{(7,1),(20,1),(22,1),(23,1),(43,1)}
       14:{2,3,4,6,7}:{(7,1),(21,1),(23,1),(44,1),(49,1),(72,1)}
       15:{1,3,4,6}:{(8,1),(11,1),(24,1),(29,1)}
       16:{1,2,3,4}:{(26,1)}
       17:{3,4,5}:{(9,1),(29,1)}
       18:{1,2,4,6}:{(9,1),(10,1),(29,1),(31,1)}
       19:{1,2,3,5,7}:{(10,1),(12,1),(31,1),(32,1),(55,1),(60,1),(77,1)}
       20:{1,2,5,6}:{(11,1),(13,1),(24,1),(32,1)}
       21:{1,2,4,6,7}:{(11,1),(12,1),(14,1),(25,1),(31,1),(32,1)}
       22:{2,4,5,6}:{(13,1),(33,1),(34,1)}
       23:{2,3,5,7}:{(13,1),(14,1),(32,1),(34,1),(60,1)}
       24:{1,3,5,6}:{(15,1),(20,1),(37,1),(38,1),(43,1)}
       25:{1,3,4,6,7}:{(15,1),(21,1),(38,1),(44,1),(67,1),(72,1)}
       26:{1,2,3,5}:{(16,1),(39,1),(40,1)}
       27:{1,3,4,5}:{(17,1),(39,1),(41,1)}
       28:{2,3,4,5}:{(17,1),(39,1),(42,1)}
       29:{3,4,6}:{(17,1),(18,1),(43,1),(44,1)}
       30:{1,2,4,5,6}:{(18,1),(20,1),(22,1),(37,1),(43,1),(45,1),(47,1),(65,1),(68,1)}
       31:{1,2,4,7}:{(18,1),(19,1),(44,1)}
       32:{1,2,5,7}:{(20,1),(21,1),(23,1),(38,1)}
       33:{3,4,5,6}:{(22,1),(43,1),(47,1),(48,1)}
       34:{2,4,5,7}:{(22,1),(23,1),(48,1),(49,1)}
       35:{2,3,5,6,7}:{(23,1),(46,1),(49,1),(50,1),(72,1)}
       36:{2,4,5,6,7}:{(49,1),(50,1)}
       37:{1,4,5,6}:{(24,1),(51,1),(52,1)}
       38:{1,3,5,7}:{(24,1),(25,1),(32,1),(52,1),(60,1)}
       39:{1,2,4,5}:{(26,1),(27,1),(28,1),(54,1)}
       40:{1,2,3,6}:{(26,1),(54,1),(55,1)}
       41:{1,3,4,6}:{(27,1),(29,1),(54,1),(56,1),(57,1)}
       42:{2,3,4,6}:{(28,1),(29,1),(54,1),(58,1),(59,1)}
       43:{3,5,6}:{(29,1),(30,1),(60,1)}
       44:{3,4,7}:{(29,1),(31,1),(60,1)}
       45:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(34,1),(52,1),(60,1),(61,1),(62,1),(75,1),(77,1)}
       46:{1,2,5,6,7}:{(32,1),(35,1),(53,1),(61,1),(64,1),(83,1)}
       47:{1,4,5,6}:{(33,1),(56,1),(62,1)}
       48:{3,4,5,7}:{(33,1),(34,1),(60,1),(62,1),(63,1)}
       49:{2,4,6,7}:{(34,1),(35,1),(63,1)}
       50:{3,5,6,7}:{(36,1),(63,1),(64,1)}
       51:{3,4,5,6}:{(37,1),(43,1),(65,1),(66,1)}
       52:{1,4,5,7}:{(37,1),(38,1),(66,1),(67,1)}
       53:{1,3,5,6,7}:{(38,1),(46,1),(67,1),(72,1),(80,1)}
       54:{1,2,4,6}:{(39,1),(40,1),(41,1),(42,1),(68,1),(69,1)}
       55:{1,2,3,7}:{(40,1),(69,1)}
       56:{1,3,5,6}:{(41,1),(43,1),(47,1),(68,1),(70,1)}
       57:{1,3,4,7}:{(41,1),(44,1),(69,1),(70,1)}
       58:{2,3,5,6}:{(42,1),(43,1),(65,1),(68,1),(71,1)}
       59:{2,3,4,7}:{(42,1),(44,1),(69,1),(71,1)}
       60:{3,5,7}:{(43,1),(44,1),(45,1),(72,1)}
       61:{1,2,4,6,7}:{(45,1),(46,1),(49,1),(67,1),(72,1),(73,1),(81,1),(82,1)}
       62:{1,4,5,7}:{(47,1),(48,1),(70,1),(73,1)}
       63:{3,4,6,7}:{(48,1),(49,1),(50,1),(72,1),(73,1)}
       64:{1,5,6,7}:{(50,1),(73,1)}
       65:{2,4,5,6}:{(51,1),(58,1),(75,1)}
       66:{3,4,5,7}:{(51,1),(52,1),(60,1),(75,1),(76,1)}
       67:{1,4,6,7}:{(52,1),(53,1),(76,1)}
       68:{1,2,5,6}:{(54,1),(56,1),(58,1),(77,1)}
       69:{1,2,4,7}:{(54,1),(55,1),(57,1),(59,1),(77,1)}
       70:{1,3,5,7}:{(56,1),(57,1),(60,1),(62,1),(77,1),(78,1)}
       71:{2,3,5,7}:{(58,1),(59,1),(60,1),(75,1),(77,1),(79,1)}
       72:{3,6,7}:{(60,1),(61,1)}
       73:{1,4,6,7}:{(62,1),(63,1),(64,1),(78,1)}
       74:{1,4,5,6,7}:{(67,1),(80,1)}
       75:{2,4,5,7}:{(65,1),(66,1),(71,1),(81,1)}
       76:{3,4,6,7}:{(66,1),(67,1),(72,1),(80,1),(81,1)}
       77:{1,2,5,7}:{(68,1),(69,1),(70,1),(71,1),(82,1)}
       78:{1,3,6,7}:{(70,1),(72,1),(73,1),(82,1)}
       79:{2,3,6,7}:{(71,1),(72,1),(81,1),(82,1)}
       80:{3,5,6,7}:{(74,1),(76,1),(83,1)}
       81:{2,4,6,7}:{(75,1),(76,1),(79,1),(83,1)}
       82:{1,2,6,7}:{(77,1),(78,1),(79,1)}
       83:{2,5,6,7}:{(80,1),(81,1)}

2245 :  0:{1,2,3,4,6,7}:{(1,1),(4,1),(6,1),(17,1),(21,1),(41,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(32,1),(51,1)}
        2:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,5,6}:{(1,1),(6,1),(17,1),(20,1),(40,1)}
        4:{1,2,3,4,7}:{(8,1),(9,1),(47,1)}
        5:{3,4,5,7}:{(2,1),(12,1),(32,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(12,1)}
        7:{1,2,3,5,6,7}:{(3,1),(14,1),(27,1),(32,1),(51,1),(52,1),(53,1)}
        8:{1,2,3,4,6}:{(4,1),(15,1),(17,1),(35,1)}
        9:{1,2,3,5,7}:{(4,1),(15,1),(16,1),(17,1)}
       10:{1,3,4,5,7}:{(5,1),(16,1),(18,1),(34,1),(42,1),(55,1)}
       11:{2,3,4,5,7}:{(5,1),(16,1),(19,1),(34,1),(43,1),(55,1)}
       12:{3,4,6}:{(5,1),(6,1),(20,1)}
       13:{1,2,4,5,6}:{(6,1),(20,1),(22,1),(37,1),(38,1),(40,1)}
       14:{1,2,4,6,7}:{(6,1),(7,1),(21,1),(22,1),(57,1),(58,1)}
       15:{1,2,3,5}:{(8,1),(23,1)}
       16:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(47,1),(51,1)}
       17:{1,2,3,6}:{(9,1),(26,1)}
       18:{1,3,4,6}:{(10,1),(12,1),(26,1),(28,1),(45,1)}
       19:{2,3,4,6}:{(11,1),(12,1),(26,1),(30,1),(45,1)}
       20:{3,5,6}:{(12,1),(13,1),(32,1)}
       21:{3,4,6,7}:{(12,1),(14,1),(32,1)}
       22:{1,2,4,5,7}:{(13,1),(14,1),(32,1),(48,1),(49,1),(51,1)}
       23:{1,2,4,5}:{(15,1),(34,1),(35,1)}
       24:{1,2,3,5,6}:{(15,1),(17,1),(35,1),(36,1),(40,1),(54,1)}
       25:{3,4,5,6}:{(20,1),(37,1),(38,1),(39,1),(54,1)}
       26:{1,2,4,6}:{(16,1),(17,1),(18,1),(19,1),(40,1)}
       27:{1,2,3,6,7}:{(17,1),(36,1),(41,1),(62,1)}
       28:{1,3,5,6}:{(18,1),(20,1),(37,1),(40,1),(42,1),(54,1)}
       29:{1,3,4,6,7}:{(18,1),(21,1),(41,1),(42,1),(55,1),(57,1),(62,1)}
       30:{2,3,5,6}:{(19,1),(20,1),(38,1),(40,1),(43,1),(54,1)}
       31:{2,3,4,6,7}:{(19,1),(21,1),(41,1),(43,1),(55,1),(58,1),(62,1)}
       32:{3,5,7}:{(20,1),(21,1),(22,1)}
       33:{1,2,4,5,6,7}:{(22,1),(44,1),(57,1),(58,1),(59,1)}
       34:{3,4,5}:{(23,1),(45,1)}
       35:{1,2,4,6}:{(23,1),(24,1),(45,1),(47,1)}
       36:{1,2,3,5,7}:{(24,1),(27,1),(47,1),(51,1),(60,1)}
       37:{1,4,5,6}:{(25,1),(28,1),(48,1)}
       38:{2,4,5,6}:{(25,1),(30,1),(49,1)}
       39:{3,4,5,7}:{(25,1),(32,1),(48,1),(49,1),(50,1),(60,1)}
       40:{1,2,5,6}:{(26,1),(28,1),(30,1),(51,1)}
       41:{1,2,4,6,7}:{(26,1),(27,1),(29,1),(31,1),(47,1),(51,1)}
       42:{1,3,5,7}:{(28,1),(29,1),(32,1),(48,1),(51,1),(60,1)}
       43:{2,3,5,7}:{(30,1),(31,1),(32,1),(49,1),(51,1),(60,1)}
       44:{3,5,6,7}:{(32,1),(33,1),(50,1)}
       45:{3,4,6}:{(34,1),(35,1),(54,1),(55,1)}
       46:{1,2,4,5,6}:{(35,1),(37,1),(38,1),(40,1),(54,1),(56,1)}
       47:{1,2,4,7}:{(35,1),(36,1),(55,1)}
       48:{1,4,5,7}:{(37,1),(39,1),(42,1),(57,1)}
       49:{2,4,5,7}:{(38,1),(39,1),(43,1),(58,1)}
       50:{3,4,6,7}:{(39,1),(44,1),(57,1),(58,1),(62,1)}
       51:{1,2,5,7}:{(40,1),(41,1),(42,1),(43,1)}
       52:{1,3,5,6,7}:{(42,1),(44,1),(57,1),(59,1),(62,1)}
       53:{2,3,5,6,7}:{(43,1),(44,1),(58,1),(59,1),(62,1)}
       54:{3,5,6}:{(45,1),(46,1),(60,1)}
       55:{3,4,7}:{(45,1),(47,1),(60,1)}
       56:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(49,1),(51,1),(60,1),(61,1)}
       57:{1,4,6,7}:{(48,1),(50,1),(52,1)}
       58:{2,4,6,7}:{(49,1),(50,1),(53,1)}
       59:{1,2,5,6,7}:{(51,1),(52,1),(53,1),(61,1)}
       60:{3,5,7}:{(54,1),(55,1),(56,1),(62,1)}
       61:{1,2,4,6,7}:{(56,1),(57,1),(58,1),(59,1),(62,1)}
       62:{3,6,7}:{(60,1),(61,1)}

2246 :   0:{1,3,4,5,6}:{(2,1),(3,1),(41,1),(67,1),(94,1)}
         1:{3,4,5,6,7}:{(5,1),(6,1),(24,1),(98,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(51,1),(54,1),(83,1)}
         3:{1,2,4,5,6}:{(0,1),(8,1),(9,1),(28,1),(81,1),(84,1)}
         4:{2,3,4,5,6}:{(10,1),(11,1),(62,1),(67,1),(102,1)}
         5:{1,4,5,6,7}:{(1,1),(12,1),(93,1)}
         6:{2,4,5,6,7}:{(1,1),(13,1),(101,1)}
         7:{1,3,4,6,7}:{(2,1),(12,1),(15,1),(36,1)}
         8:{1,2,4,5,7}:{(2,1),(3,1),(15,1),(16,1),(39,1),(65,1),(69,1)}
         9:{2,3,5,6}:{(3,1),(16,1),(18,1)}
        10:{2,3,4,5,7}:{(4,1),(19,1),(20,1),(51,1),(75,1),(95,1)}
        11:{1,2,4,5,6}:{(4,1),(20,1),(21,1),(46,1),(82,1),(96,1)}
        12:{1,3,5,6,7}:{(5,1),(7,1),(22,1),(24,1),(83,1)}
        13:{2,3,5,6,7}:{(6,1),(19,1),(23,1),(24,1),(95,1)}
        14:{1,2,4,5,6,7}:{(5,1),(6,1),(22,1),(23,1),(24,1),(49,1),(50,1),(80,1)}
        15:{1,2,4,6,7}:{(7,1),(8,1),(22,1),(25,1),(49,1)}
        16:{2,3,5,7}:{(8,1),(9,1),(25,1),(27,1)}
        17:{1,2,3,5,6}:{(9,1),(26,1),(28,1),(57,1),(84,1),(85,1)}
        18:{2,3,4,6}:{(9,1),(27,1),(28,1),(29,1)}
        19:{2,3,4,6,7}:{(10,1),(13,1),(30,1),(36,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(30,1),(31,1),(60,1),(66,1),(87,1)}
        21:{1,3,5,6}:{(11,1),(31,1),(33,1)}
        22:{1,2,5,6,7}:{(12,1),(15,1),(34,1),(69,1)}
        23:{1,2,5,6,7}:{(13,1),(30,1),(35,1),(87,1)}
        24:{3,5,6,7}:{(14,1),(36,1),(91,1)}
        25:{2,3,6,7}:{(15,1),(16,1)}
        26:{1,2,3,5,7}:{(16,1),(17,1),(37,1),(39,1),(69,1),(71,1)}
        27:{2,3,4,7}:{(16,1),(18,1),(39,1)}
        28:{1,2,4,6}:{(17,1),(18,1),(39,1),(41,1),(42,1)}
        29:{2,3,4,5}:{(18,1),(42,1)}
        30:{1,2,4,6,7}:{(19,1),(20,1),(23,1),(43,1),(50,1)}
        31:{1,3,5,7}:{(20,1),(21,1),(43,1),(45,1)}
        32:{1,2,3,5,6}:{(21,1),(44,1),(46,1),(78,1),(96,1),(97,1)}
        33:{1,3,4,6}:{(21,1),(45,1),(46,1),(47,1)}
        34:{2,3,5,6,7}:{(22,1),(24,1),(25,1),(49,1),(53,1)}
        35:{1,3,5,6,7}:{(23,1),(24,1),(43,1),(50,1),(74,1)}
        36:{3,4,6,7}:{(24,1),(49,1),(50,1),(51,1)}
        37:{1,2,3,6,7}:{(25,1),(26,1),(52,1),(85,1)}
        38:{2,3,4,6,7}:{(25,1),(27,1),(49,1),(52,1),(53,1),(56,1),(79,1)}
        39:{1,2,4,7}:{(26,1),(27,1),(28,1),(54,1)}
        40:{2,3,4,5,7}:{(27,1),(29,1),(53,1),(55,1),(56,1),(98,1)}
        41:{1,3,4,6}:{(28,1),(54,1),(57,1),(85,1)}
        42:{1,2,4,5}:{(28,1),(29,1),(57,1)}
        43:{1,3,6,7}:{(30,1),(31,1)}
        44:{1,2,3,5,7}:{(31,1),(32,1),(58,1),(60,1),(87,1),(89,1)}
        45:{1,3,4,7}:{(31,1),(33,1),(60,1)}
        46:{1,2,4,6}:{(32,1),(33,1),(60,1),(62,1),(63,1)}
        47:{1,3,4,5}:{(33,1),(63,1)}
        48:{1,2,3,5,6,7}:{(34,1),(35,1),(37,1),(58,1),(64,1),(69,1),(87,1),(91,1),(94,1),(102,1)}
        49:{2,4,6,7}:{(34,1),(36,1),(65,1)}
        50:{1,4,6,7}:{(35,1),(36,1),(66,1)}
        51:{3,4,5,7}:{(36,1),(65,1),(66,1),(67,1),(91,1)}
        52:{1,2,4,6,7}:{(37,1),(38,1),(39,1),(68,1),(69,1),(72,1)}
        53:{2,3,5,7}:{(38,1),(65,1),(69,1),(70,1),(91,1)}
        54:{1,3,4,7}:{(39,1),(41,1),(71,1)}
        55:{1,2,4,5,7}:{(39,1),(40,1),(42,1),(69,1),(71,1),(72,1),(93,1)}
        56:{2,3,4,6}:{(40,1),(70,1),(72,1),(103,1)}
        57:{1,3,5}:{(41,1),(42,1)}
        58:{1,2,3,6,7}:{(43,1),(44,1),(73,1),(97,1)}
        59:{1,3,4,6,7}:{(43,1),(45,1),(50,1),(73,1),(74,1),(77,1),(79,1)}
        60:{1,2,4,7}:{(44,1),(45,1),(46,1),(75,1)}
        61:{1,3,4,5,7}:{(45,1),(47,1),(74,1),(76,1),(77,1),(98,1)}
        62:{2,3,4,6}:{(46,1),(75,1),(78,1),(97,1)}
        63:{1,2,4,5}:{(46,1),(47,1),(78,1)}
        64:{1,2,4,6,7}:{(48,1),(49,1),(50,1),(79,1),(80,1),(100,1),(104,1)}
        65:{2,4,5,7}:{(49,1),(51,1),(53,1),(81,1)}
        66:{1,4,5,7}:{(50,1),(51,1),(74,1),(82,1)}
        67:{3,4,5,6}:{(51,1),(81,1),(82,1),(99,1)}
        68:{1,3,4,6,7}:{(52,1),(54,1),(79,1),(83,1),(85,1),(100,1)}
        69:{1,2,5,7}:{(52,1),(53,1),(83,1),(84,1)}
        70:{2,3,5,6}:{(53,1),(56,1),(81,1),(84,1),(99,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(57,1),(85,1)}
        72:{1,2,4,6}:{(55,1),(56,1),(84,1),(85,1),(100,1)}
        73:{1,2,4,6,7}:{(58,1),(59,1),(60,1),(86,1),(87,1),(90,1)}
        74:{1,3,5,7}:{(59,1),(66,1),(87,1),(88,1),(91,1)}
        75:{2,3,4,7}:{(60,1),(62,1),(89,1)}
        76:{1,2,4,5,7}:{(60,1),(61,1),(63,1),(87,1),(89,1),(90,1),(101,1)}
        77:{1,3,4,6}:{(61,1),(88,1),(90,1),(103,1)}
        78:{2,3,5}:{(62,1),(63,1)}
        79:{3,4,6,7}:{(64,1),(91,1),(103,1)}
        80:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(69,1),(87,1),(91,1),(92,1),(93,1),(101,1)}
        81:{2,4,5,6}:{(65,1),(67,1),(70,1)}
        82:{1,4,5,6}:{(66,1),(67,1),(88,1)}
        83:{1,3,5,7}:{(68,1),(69,1),(91,1),(93,1),(94,1)}
        84:{1,2,5,6}:{(69,1),(70,1),(72,1),(94,1)}
        85:{1,3,6}:{(71,1),(72,1)}
        86:{2,3,4,6,7}:{(73,1),(75,1),(79,1),(95,1),(97,1),(104,1)}
        87:{1,2,5,7}:{(73,1),(74,1),(95,1),(96,1)}
        88:{1,3,5,6}:{(74,1),(77,1),(82,1),(96,1),(99,1)}
        89:{2,3,5,7}:{(75,1),(76,1),(78,1),(97,1)}
        90:{1,2,4,6}:{(76,1),(77,1),(96,1),(97,1),(104,1)}
        91:{3,5,7}:{(79,1),(80,1),(99,1)}
        92:{1,2,4,5,6}:{(80,1),(81,1),(82,1),(84,1),(96,1),(99,1),(100,1),(104,1)}
        93:{1,4,5,7}:{(83,1),(98,1),(100,1)}
        94:{1,3,5,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        95:{2,3,5,7}:{(86,1),(87,1),(91,1),(101,1),(102,1)}
        96:{1,2,5,6}:{(87,1),(88,1),(90,1),(102,1)}
        97:{2,3,6}:{(89,1),(90,1)}
        98:{3,4,5,7}:{(91,1),(93,1),(101,1),(103,1)}
        99:{3,5,6}:{(91,1),(92,1),(103,1)}
       100:{1,4,6}:{(93,1),(94,1),(103,1)}
       101:{2,4,5,7}:{(95,1),(98,1),(104,1)}
       102:{2,3,5,6}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       103:{3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       104:{2,4,6}:{(101,1),(102,1),(103,1)}

2247 :   0:{2,3,4,5,6}:{(2,1),(3,1),(34,1),(68,1),(81,1)}
         1:{1,2,3,4,6}:{(4,1),(5,1),(23,1),(24,1)}
         2:{1,2,4,5,6}:{(0,1),(8,1),(9,1),(24,1),(56,1),(61,1)}
         3:{2,3,4,5,7}:{(0,1),(6,1),(9,1),(50,1),(90,1),(103,1)}
         4:{1,2,3,4,7}:{(1,1),(11,1),(40,1)}
         5:{1,2,3,5}:{(1,1),(12,1)}
         6:{2,3,4,6,7}:{(3,1),(15,1),(17,1),(82,1)}
         7:{1,3,4,5}:{(12,1),(18,1)}
         8:{1,3,5,6}:{(2,1),(18,1),(19,1)}
         9:{1,2,4,5,7}:{(2,1),(3,1),(17,1),(19,1),(40,1),(78,1),(83,1)}
        10:{1,2,3,4,6,7}:{(4,1),(21,1),(23,1),(51,1),(54,1),(57,1),(93,1),(98,1),(131,1)}
        11:{1,2,3,5,7}:{(4,1),(5,1),(22,1),(23,1)}
        12:{1,2,4,5}:{(5,1),(7,1),(20,1),(24,1)}
        13:{1,2,3,5,6}:{(5,1),(8,1),(23,1),(24,1),(25,1),(49,1),(56,1)}
        14:{3,4,5,6,7}:{(26,1),(27,1),(60,1),(128,1)}
        15:{2,3,5,6,7}:{(6,1),(26,1),(28,1),(60,1),(90,1)}
        16:{1,3,4,5,7}:{(7,1),(22,1),(29,1),(32,1),(53,1),(63,1)}
        17:{1,2,4,6,7}:{(6,1),(9,1),(28,1),(30,1),(62,1)}
        18:{1,3,4,6}:{(7,1),(8,1),(24,1),(32,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(30,1),(32,1)}
        20:{2,3,4,5}:{(12,1),(34,1)}
        21:{1,2,3,5,7}:{(10,1),(35,1),(36,1),(78,1),(118,1),(142,1)}
        22:{1,2,4,5,7}:{(11,1),(12,1),(16,1),(33,1),(37,1),(40,1),(78,1)}
        23:{1,2,3,6}:{(11,1),(37,1)}
        24:{1,2,4,6}:{(12,1),(13,1),(18,1),(34,1),(40,1)}
        25:{1,2,3,5,7}:{(13,1),(19,1),(38,1),(40,1),(70,1),(78,1)}
        26:{2,4,5,6,7}:{(14,1),(15,1),(110,1)}
        27:{1,4,5,6,7}:{(14,1),(41,1),(139,1)}
        28:{1,2,5,6,7}:{(15,1),(17,1),(43,1),(78,1)}
        29:{1,3,4,6}:{(16,1),(37,1),(44,1),(75,1)}
        30:{1,3,6,7}:{(17,1),(19,1)}
        31:{1,3,4,5,6}:{(18,1),(39,1),(44,1),(46,1),(109,1)}
        32:{1,3,4,7}:{(18,1),(19,1),(40,1)}
        33:{2,3,4,5,7}:{(20,1),(22,1),(48,1),(50,1),(53,1),(90,1)}
        34:{2,3,4,6}:{(20,1),(24,1),(49,1),(50,1)}
        35:{1,2,4,5,7}:{(21,1),(53,1),(54,1)}
        36:{1,2,3,5,6}:{(21,1),(23,1),(54,1),(56,1),(93,1),(97,1),(130,1)}
        37:{1,2,4,6}:{(22,1),(23,1),(29,1),(48,1),(56,1)}
        38:{1,2,3,6,7}:{(23,1),(25,1),(30,1),(57,1),(91,1)}
        39:{1,2,4,5,6}:{(24,1),(31,1),(49,1),(56,1),(58,1),(89,1)}
        40:{1,2,4,7}:{(24,1),(25,1),(32,1),(50,1)}
        41:{1,3,5,6,7}:{(27,1),(52,1),(59,1),(60,1),(132,1)}
        42:{1,2,4,5,6,7}:{(26,1),(27,1),(28,1),(59,1),(60,1),(62,1),(99,1),(102,1)}
        43:{1,3,5,6,7}:{(28,1),(30,1),(60,1),(62,1),(63,1)}
        44:{1,3,5,6}:{(29,1),(56,1),(61,1),(63,1),(97,1)}
        45:{1,3,4,6,7}:{(29,1),(30,1),(32,1),(57,1),(62,1),(63,1),(98,1)}
        46:{1,3,4,5,7}:{(31,1),(32,1),(58,1),(63,1),(64,1),(128,1)}
        47:{1,3,4,5,6}:{(66,1),(67,1),(81,1),(114,1),(136,1)}
        48:{2,3,4,6}:{(33,1),(37,1),(68,1),(75,1)}
        49:{2,3,5,6}:{(34,1),(39,1),(70,1)}
        50:{2,3,4,7}:{(34,1),(40,1),(70,1)}
        51:{1,2,3,4,7}:{(65,1),(71,1),(138,1)}
        52:{1,3,4,6,7}:{(41,1),(67,1),(74,1),(82,1)}
        53:{3,4,5,7}:{(35,1),(75,1),(118,1)}
        54:{1,2,4,6}:{(35,1),(36,1),(75,1)}
        55:{1,2,3,5,6,7}:{(36,1),(38,1),(43,1),(77,1),(78,1),(80,1),(111,1),(113,1),(118,1),(142,1),(143,1)}
        56:{1,2,5,6}:{(37,1),(44,1),(68,1),(78,1)}
        57:{1,2,4,6,7}:{(37,1),(38,1),(40,1),(45,1),(69,1),(78,1)}
        58:{1,2,4,5,7}:{(39,1),(40,1),(46,1),(70,1),(78,1),(79,1),(110,1)}
        59:{1,2,5,6,7}:{(41,1),(74,1),(80,1),(142,1)}
        60:{3,5,6,7}:{(42,1),(82,1),(118,1)}
        61:{1,4,5,6}:{(44,1),(81,1),(83,1)}
        62:{1,4,6,7}:{(43,1),(82,1),(83,1)}
        63:{1,3,5,7}:{(44,1),(45,1),(78,1),(83,1),(118,1)}
        64:{1,3,4,6,7}:{(46,1),(79,1),(84,1),(141,1)}
        65:{1,2,3,4,6}:{(51,1),(85,1),(93,1),(123,1)}
        66:{1,2,4,5,6}:{(47,1),(87,1),(88,1),(101,1),(123,1),(130,1)}
        67:{1,3,4,5,7}:{(47,1),(52,1),(88,1),(103,1),(132,1),(146,1)}
        68:{2,3,5,6}:{(48,1),(56,1),(89,1),(90,1),(97,1)}
        69:{2,3,4,6,7}:{(48,1),(50,1),(57,1),(90,1),(91,1),(98,1),(129,1)}
        70:{2,3,5,7}:{(49,1),(50,1),(58,1),(91,1)}
        71:{1,2,3,5,7}:{(51,1),(85,1),(92,1),(93,1)}
        72:{1,3,4,5,7}:{(53,1),(92,1),(94,1),(122,1),(132,1),(146,1)}
        73:{2,3,4,5,7}:{(53,1),(86,1),(92,1),(95,1),(127,1),(133,1)}
        74:{1,2,4,6,7}:{(52,1),(59,1),(88,1),(96,1),(102,1)}
        75:{3,4,6}:{(53,1),(54,1),(97,1)}
        76:{1,2,4,5,6}:{(54,1),(56,1),(61,1),(89,1),(97,1),(99,1),(101,1),(125,1),(130,1)}
        77:{1,2,4,6,7}:{(54,1),(55,1),(62,1),(98,1),(99,1),(102,1),(129,1),(148,1)}
        78:{1,2,5,7}:{(56,1),(57,1),(63,1),(90,1)}
        79:{1,2,4,6,7}:{(58,1),(64,1),(91,1),(100,1),(129,1)}
        80:{2,3,5,6,7}:{(59,1),(60,1),(96,1),(102,1),(133,1)}
        81:{3,4,5,6}:{(61,1),(97,1),(101,1),(103,1)}
        82:{3,4,6,7}:{(60,1),(62,1),(102,1),(103,1)}
        83:{1,4,5,7}:{(61,1),(62,1),(63,1),(103,1)}
        84:{1,3,5,6,7}:{(63,1),(64,1),(100,1),(104,1),(134,1)}
        85:{1,2,3,5}:{(65,1),(105,1)}
        86:{2,3,4,5}:{(105,1),(107,1)}
        87:{2,3,5,6}:{(66,1),(107,1),(108,1)}
        88:{1,2,4,5,7}:{(66,1),(67,1),(74,1),(108,1),(120,1),(138,1),(142,1)}
        89:{2,4,5,6}:{(68,1),(109,1),(110,1)}
        90:{2,3,5,7}:{(68,1),(69,1),(78,1),(110,1),(118,1)}
        91:{2,3,6,7}:{(70,1),(79,1)}
        92:{1,2,4,5,7}:{(71,1),(72,1),(73,1),(105,1),(112,1),(138,1),(142,1)}
        93:{1,2,3,6}:{(71,1),(112,1)}
        94:{1,3,4,6}:{(72,1),(75,1),(112,1),(114,1)}
        95:{2,3,4,6}:{(73,1),(75,1),(112,1),(116,1)}
        96:{2,3,6,7}:{(74,1),(108,1)}
        97:{3,5,6}:{(75,1),(76,1),(118,1)}
        98:{3,4,6,7}:{(75,1),(77,1),(118,1)}
        99:{1,2,4,5,7}:{(76,1),(77,1),(78,1),(83,1),(110,1),(118,1),(120,1),(139,1),(142,1)}
       100:{1,2,5,6,7}:{(78,1),(79,1),(84,1),(111,1)}
       101:{2,4,5,6}:{(81,1),(116,1),(120,1)}
       102:{2,4,6,7}:{(80,1),(82,1),(120,1)}
       103:{3,4,5,7}:{(81,1),(82,1),(83,1),(118,1),(120,1)}
       104:{1,4,5,6,7}:{(83,1),(84,1),(121,1)}
       105:{1,2,4,5}:{(85,1),(86,1),(122,1),(123,1)}
       106:{1,2,3,5,6}:{(85,1),(87,1),(93,1),(123,1),(124,1),(130,1),(145,1)}
       107:{2,3,4,6}:{(86,1),(87,1),(123,1),(127,1)}
       108:{2,3,5,7}:{(87,1),(88,1),(96,1),(127,1)}
       109:{3,4,5,6}:{(89,1),(97,1),(125,1),(128,1)}
       110:{2,4,5,7}:{(89,1),(90,1),(128,1),(129,1)}
       111:{2,3,5,6,7}:{(90,1),(91,1),(100,1),(129,1),(134,1)}
       112:{1,2,4,6}:{(92,1),(93,1),(94,1),(95,1),(130,1)}
       113:{1,2,3,6,7}:{(93,1),(96,1),(124,1),(131,1),(153,1)}
       114:{1,3,5,6}:{(94,1),(97,1),(125,1),(130,1),(132,1)}
       115:{1,3,4,6,7}:{(94,1),(98,1),(131,1),(132,1),(146,1),(148,1),(153,1)}
       116:{2,3,5,6}:{(95,1),(97,1),(101,1),(130,1),(133,1)}
       117:{2,3,4,6,7}:{(95,1),(96,1),(98,1),(102,1),(127,1),(131,1),(133,1)}
       118:{3,5,7}:{(97,1),(98,1),(99,1)}
       119:{1,2,4,5,6,7}:{(99,1),(100,1),(104,1),(129,1),(134,1),(135,1),(148,1),(150,1)}
       120:{2,4,5,7}:{(101,1),(102,1),(103,1),(133,1)}
       121:{3,4,5,6,7}:{(103,1),(104,1),(134,1),(135,1)}
       122:{1,3,4,5}:{(105,1),(136,1)}
       123:{1,2,4,6}:{(105,1),(106,1),(107,1),(136,1),(138,1)}
       124:{1,2,3,5,7}:{(106,1),(108,1),(113,1),(138,1),(142,1),(151,1)}
       125:{1,4,5,6}:{(109,1),(114,1),(139,1)}
       126:{2,3,4,5,6}:{(107,1),(109,1),(116,1),(137,1),(140,1)}
       127:{2,3,4,7}:{(107,1),(108,1),(138,1)}
       128:{3,4,5,7}:{(109,1),(110,1),(118,1),(139,1),(141,1)}
       129:{2,4,6,7}:{(110,1),(111,1),(141,1)}
       130:{1,2,5,6}:{(112,1),(114,1),(116,1),(142,1)}
       131:{1,2,4,6,7}:{(112,1),(113,1),(115,1),(117,1),(138,1),(142,1)}
       132:{1,3,5,7}:{(114,1),(115,1),(118,1),(139,1),(142,1)}
       133:{2,3,5,7}:{(116,1),(117,1),(118,1),(120,1),(142,1)}
       134:{3,5,6,7}:{(118,1),(119,1),(141,1)}
       135:{2,4,5,6,7}:{(120,1),(121,1),(144,1)}
       136:{1,3,4,6}:{(122,1),(123,1),(145,1),(146,1)}
       137:{1,2,4,5,6}:{(123,1),(125,1),(126,1),(130,1),(145,1),(147,1)}
       138:{1,2,4,7}:{(123,1),(124,1),(127,1),(146,1)}
       139:{1,4,5,7}:{(125,1),(128,1),(132,1),(148,1)}
       140:{2,3,4,5,7}:{(126,1),(127,1),(128,1),(133,1),(147,1),(149,1)}
       141:{3,4,6,7}:{(128,1),(129,1),(134,1),(148,1)}
       142:{1,2,5,7}:{(130,1),(131,1),(132,1),(133,1)}
       143:{1,3,5,6,7}:{(132,1),(134,1),(148,1),(150,1),(153,1)}
       144:{2,3,5,6,7}:{(133,1),(134,1),(135,1),(149,1),(150,1)}
       145:{1,3,5,6}:{(136,1),(137,1),(151,1)}
       146:{1,3,4,7}:{(136,1),(138,1),(151,1)}
       147:{1,2,4,5,7}:{(137,1),(138,1),(139,1),(140,1),(142,1),(151,1),(152,1)}
       148:{1,4,6,7}:{(139,1),(141,1),(143,1)}
       149:{2,3,4,6,7}:{(140,1),(141,1),(144,1),(152,1)}
       150:{1,2,5,6,7}:{(142,1),(143,1),(144,1),(152,1)}
       151:{1,3,5,7}:{(145,1),(146,1),(147,1),(153,1)}
       152:{1,2,4,6,7}:{(147,1),(148,1),(149,1),(150,1),(153,1)}
       153:{1,3,6,7}:{(151,1),(152,1)}

2248 :   0:{2,3,4,5,6}:{(2,1),(3,1),(36,1),(63,1),(92,1)}
         1:{3,4,5,6,7}:{(4,1),(5,1),(22,1),(97,1)}
         2:{2,3,4,5,7}:{(0,1),(6,1),(7,1),(47,1),(50,1),(79,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(25,1),(77,1),(80,1)}
         4:{1,4,5,6,7}:{(1,1),(11,1),(101,1)}
         5:{2,4,5,6,7}:{(1,1),(10,1),(91,1)}
         6:{2,3,4,6,7}:{(2,1),(10,1),(13,1),(33,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(13,1),(15,1),(37,1),(61,1),(65,1)}
         8:{1,3,5,6}:{(3,1),(15,1),(16,1)}
         9:{1,3,4,5,6}:{(17,1),(18,1),(63,1),(69,1),(102,1)}
        10:{2,3,5,6,7}:{(5,1),(6,1),(20,1),(22,1),(79,1)}
        11:{1,3,5,6,7}:{(4,1),(19,1),(21,1),(22,1),(95,1)}
        12:{1,2,4,5,6,7}:{(4,1),(5,1),(20,1),(21,1),(22,1),(45,1),(46,1),(76,1)}
        13:{1,2,4,6,7}:{(6,1),(7,1),(20,1),(23,1),(45,1)}
        14:{1,2,3,5,6}:{(8,1),(24,1),(25,1),(51,1),(80,1),(81,1)}
        15:{1,3,5,7}:{(7,1),(8,1),(23,1),(26,1)}
        16:{1,3,4,6}:{(8,1),(25,1),(26,1),(27,1)}
        17:{1,3,4,5,7}:{(9,1),(19,1),(28,1),(47,1),(82,1),(95,1)}
        18:{1,2,4,5,6}:{(9,1),(28,1),(29,1),(55,1),(78,1),(96,1)}
        19:{1,3,4,6,7}:{(11,1),(17,1),(30,1),(33,1)}
        20:{1,2,5,6,7}:{(10,1),(13,1),(31,1),(65,1)}
        21:{1,2,5,6,7}:{(11,1),(30,1),(32,1),(87,1)}
        22:{3,5,6,7}:{(12,1),(33,1),(89,1)}
        23:{1,3,6,7}:{(13,1),(15,1)}
        24:{1,2,3,5,7}:{(14,1),(15,1),(34,1),(37,1),(65,1),(67,1)}
        25:{1,2,4,6}:{(14,1),(16,1),(36,1),(37,1),(38,1)}
        26:{1,3,4,7}:{(15,1),(16,1),(37,1)}
        27:{1,3,4,5}:{(16,1),(38,1)}
        28:{1,2,4,5,7}:{(17,1),(18,1),(30,1),(41,1),(62,1),(70,1),(87,1)}
        29:{2,3,5,6}:{(18,1),(41,1),(42,1)}
        30:{1,2,4,6,7}:{(19,1),(21,1),(28,1),(43,1),(46,1)}
        31:{1,3,5,6,7}:{(20,1),(22,1),(23,1),(45,1),(49,1)}
        32:{2,3,5,6,7}:{(21,1),(22,1),(43,1),(46,1),(74,1)}
        33:{3,4,6,7}:{(22,1),(45,1),(46,1),(47,1)}
        34:{1,2,3,6,7}:{(23,1),(24,1),(48,1),(81,1)}
        35:{1,3,4,6,7}:{(23,1),(26,1),(45,1),(48,1),(49,1),(53,1),(75,1)}
        36:{2,3,4,6}:{(25,1),(50,1),(51,1),(81,1)}
        37:{1,2,4,7}:{(24,1),(25,1),(26,1),(50,1)}
        38:{1,2,4,5}:{(25,1),(27,1),(51,1)}
        39:{1,3,4,5,7}:{(26,1),(27,1),(49,1),(52,1),(53,1),(97,1)}
        40:{1,2,3,5,6}:{(29,1),(54,1),(55,1),(83,1),(96,1),(100,1)}
        41:{2,3,5,7}:{(28,1),(29,1),(43,1),(56,1)}
        42:{2,3,4,6}:{(29,1),(55,1),(56,1),(57,1)}
        43:{2,3,6,7}:{(30,1),(41,1)}
        44:{1,2,3,5,6,7}:{(31,1),(32,1),(34,1),(58,1),(60,1),(65,1),(87,1),(89,1),(92,1),(102,1)}
        45:{1,4,6,7}:{(31,1),(33,1),(61,1)}
        46:{2,4,6,7}:{(32,1),(33,1),(62,1)}
        47:{3,4,5,7}:{(33,1),(61,1),(62,1),(63,1),(89,1)}
        48:{1,2,4,6,7}:{(34,1),(35,1),(37,1),(64,1),(65,1),(68,1)}
        49:{1,3,5,7}:{(35,1),(61,1),(65,1),(66,1),(89,1)}
        50:{2,3,4,7}:{(36,1),(37,1),(67,1)}
        51:{2,3,5}:{(36,1),(38,1)}
        52:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(65,1),(67,1),(68,1),(91,1)}
        53:{1,3,4,6}:{(39,1),(66,1),(68,1),(103,1)}
        54:{1,2,3,5,7}:{(40,1),(41,1),(58,1),(70,1),(87,1),(93,1)}
        55:{1,2,4,6}:{(40,1),(42,1),(69,1),(70,1),(71,1)}
        56:{2,3,4,7}:{(41,1),(42,1),(70,1)}
        57:{2,3,4,5}:{(42,1),(71,1)}
        58:{1,2,3,6,7}:{(43,1),(54,1),(73,1),(100,1)}
        59:{2,3,4,6,7}:{(43,1),(46,1),(56,1),(73,1),(74,1),(75,1),(85,1)}
        60:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(75,1),(76,1),(99,1),(104,1)}
        61:{1,4,5,7}:{(45,1),(47,1),(49,1),(77,1)}
        62:{2,4,5,7}:{(46,1),(47,1),(74,1),(78,1)}
        63:{3,4,5,6}:{(47,1),(77,1),(78,1),(98,1)}
        64:{2,3,4,6,7}:{(48,1),(50,1),(75,1),(79,1),(81,1),(99,1)}
        65:{1,2,5,7}:{(48,1),(49,1),(79,1),(80,1)}
        66:{1,3,5,6}:{(49,1),(53,1),(77,1),(80,1),(98,1)}
        67:{2,3,5,7}:{(50,1),(51,1),(52,1),(81,1)}
        68:{1,2,4,6}:{(52,1),(53,1),(80,1),(81,1),(99,1)}
        69:{1,3,4,6}:{(55,1),(82,1),(83,1),(100,1)}
        70:{1,2,4,7}:{(54,1),(55,1),(56,1),(82,1)}
        71:{1,2,4,5}:{(55,1),(57,1),(83,1)}
        72:{2,3,4,5,7}:{(56,1),(57,1),(74,1),(84,1),(85,1),(97,1)}
        73:{1,2,4,6,7}:{(58,1),(59,1),(70,1),(86,1),(87,1),(94,1)}
        74:{2,3,5,7}:{(59,1),(62,1),(87,1),(88,1),(89,1)}
        75:{3,4,6,7}:{(60,1),(89,1),(103,1)}
        76:{1,2,4,5,7}:{(60,1),(61,1),(62,1),(65,1),(87,1),(89,1),(90,1),(91,1),(101,1)}
        77:{1,4,5,6}:{(61,1),(63,1),(66,1)}
        78:{2,4,5,6}:{(62,1),(63,1),(88,1)}
        79:{2,3,5,7}:{(64,1),(65,1),(89,1),(91,1),(92,1)}
        80:{1,2,5,6}:{(65,1),(66,1),(68,1),(92,1)}
        81:{2,3,6}:{(67,1),(68,1)}
        82:{1,3,4,7}:{(69,1),(70,1),(93,1)}
        83:{1,3,5}:{(69,1),(71,1)}
        84:{1,2,4,5,7}:{(70,1),(71,1),(72,1),(87,1),(93,1),(94,1),(101,1)}
        85:{2,3,4,6}:{(72,1),(88,1),(94,1),(103,1)}
        86:{1,3,4,6,7}:{(73,1),(75,1),(82,1),(95,1),(100,1),(104,1)}
        87:{1,2,5,7}:{(73,1),(74,1),(95,1),(96,1)}
        88:{2,3,5,6}:{(74,1),(78,1),(85,1),(96,1),(98,1)}
        89:{3,5,7}:{(75,1),(76,1),(98,1)}
        90:{1,2,4,5,6}:{(76,1),(77,1),(78,1),(80,1),(96,1),(98,1),(99,1),(104,1)}
        91:{2,4,5,7}:{(79,1),(97,1),(99,1)}
        92:{2,3,5,6}:{(79,1),(80,1),(81,1),(98,1),(99,1)}
        93:{1,3,5,7}:{(82,1),(83,1),(84,1),(100,1)}
        94:{1,2,4,6}:{(84,1),(85,1),(96,1),(100,1),(104,1)}
        95:{1,3,5,7}:{(86,1),(87,1),(89,1),(101,1),(102,1)}
        96:{1,2,5,6}:{(87,1),(88,1),(94,1),(102,1)}
        97:{3,4,5,7}:{(89,1),(91,1),(101,1),(103,1)}
        98:{3,5,6}:{(89,1),(90,1),(103,1)}
        99:{2,4,6}:{(91,1),(92,1),(103,1)}
       100:{1,3,6}:{(93,1),(94,1)}
       101:{1,4,5,7}:{(95,1),(97,1),(104,1)}
       102:{1,3,5,6}:{(95,1),(96,1),(98,1),(100,1),(104,1)}
       103:{3,4,6}:{(97,1),(98,1),(99,1),(104,1)}
       104:{1,4,6}:{(101,1),(102,1),(103,1)}

2249 :  0:{2,3,4,5,7}:{(3,1),(4,1),(18,1),(36,1),(68,1)}
        1:{1,3,4,5,7}:{(3,1),(5,1),(20,1),(36,1),(68,1)}
        2:{1,2,3,4,7}:{(6,1),(7,1),(53,1),(83,1)}
        3:{1,2,4,5,7}:{(0,1),(1,1),(7,1),(8,1),(23,1),(27,1),(53,1)}
        4:{2,3,4,6}:{(0,1),(8,1),(9,1),(52,1)}
        5:{1,3,4,6}:{(1,1),(8,1),(11,1),(52,1)}
        6:{1,2,3,4,6}:{(2,1),(13,1),(14,1),(37,1),(64,1),(81,1)}
        7:{1,2,3,5,7}:{(2,1),(3,1),(13,1),(14,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(5,1),(14,1),(15,1)}
        9:{2,3,5,6}:{(4,1),(15,1),(17,1),(18,1),(39,1)}
       10:{2,3,4,6,7}:{(4,1),(16,1),(18,1),(34,1),(61,1),(68,1)}
       11:{1,3,5,6}:{(5,1),(15,1),(19,1),(20,1),(39,1)}
       12:{1,3,4,6,7}:{(5,1),(16,1),(20,1),(35,1),(61,1),(68,1)}
       13:{1,2,3,5}:{(6,1),(23,1)}
       14:{1,2,3,6}:{(7,1),(8,1)}
       15:{1,2,5,6}:{(8,1),(9,1),(11,1),(27,1)}
       16:{1,2,4,6,7}:{(8,1),(10,1),(12,1),(25,1),(27,1),(53,1)}
       17:{2,4,5,6}:{(9,1),(28,1),(29,1)}
       18:{2,3,5,7}:{(9,1),(10,1),(27,1),(29,1),(56,1)}
       19:{1,4,5,6}:{(11,1),(30,1),(31,1)}
       20:{1,3,5,7}:{(11,1),(12,1),(27,1),(31,1),(56,1)}
       21:{2,3,5,6,7}:{(18,1),(33,1),(34,1),(60,1),(61,1)}
       22:{1,3,5,6,7}:{(20,1),(33,1),(35,1),(45,1),(61,1)}
       23:{1,2,4,5}:{(13,1),(36,1),(37,1)}
       24:{1,2,3,5,6}:{(13,1),(14,1),(15,1),(37,1),(38,1),(39,1),(69,1),(81,1)}
       25:{1,2,3,6,7}:{(14,1),(16,1),(38,1),(61,1),(80,1)}
       26:{1,2,4,5,6}:{(15,1),(17,1),(19,1),(37,1),(39,1),(40,1),(41,1),(43,1),(69,1)}
       27:{1,2,5,7}:{(15,1),(16,1),(18,1),(20,1)}
       28:{3,4,5,6}:{(17,1),(39,1),(41,1),(42,1)}
       29:{2,4,5,7}:{(17,1),(18,1),(34,1),(42,1)}
       30:{3,4,5,6}:{(19,1),(39,1),(43,1),(44,1)}
       31:{1,4,5,7}:{(19,1),(20,1),(35,1),(44,1)}
       32:{1,4,5,6,7}:{(35,1),(45,1)}
       33:{1,2,5,6,7}:{(21,1),(22,1),(27,1),(47,1),(59,1),(72,1)}
       34:{2,4,6,7}:{(21,1),(29,1),(48,1)}
       35:{1,4,6,7}:{(22,1),(31,1),(49,1)}
       36:{3,4,5}:{(23,1),(52,1)}
       37:{1,2,4,6}:{(23,1),(24,1),(52,1),(53,1)}
       38:{1,2,3,5,7}:{(24,1),(25,1),(27,1),(53,1),(56,1),(79,1),(83,1)}
       39:{3,5,6}:{(26,1),(52,1),(56,1)}
       40:{1,2,4,5,7}:{(26,1),(27,1),(29,1),(31,1),(47,1),(53,1),(56,1),(57,1),(58,1),(79,1)}
       41:{1,4,5,6}:{(28,1),(55,1),(57,1)}
       42:{3,4,5,7}:{(28,1),(29,1),(48,1),(56,1),(57,1)}
       43:{2,4,5,6}:{(30,1),(54,1),(58,1)}
       44:{3,4,5,7}:{(30,1),(31,1),(49,1),(56,1),(58,1)}
       45:{3,5,6,7}:{(32,1),(49,1),(59,1)}
       46:{2,4,5,6,7}:{(34,1),(60,1)}
       47:{1,2,4,6,7}:{(33,1),(34,1),(35,1),(40,1),(61,1),(62,1),(63,1),(80,1)}
       48:{3,4,6,7}:{(34,1),(42,1),(60,1),(61,1),(62,1)}
       49:{3,4,6,7}:{(35,1),(44,1),(45,1),(61,1),(63,1)}
       50:{2,3,4,5}:{(36,1),(65,1),(66,1)}
       51:{1,3,4,5}:{(36,1),(65,1),(67,1)}
       52:{3,4,6}:{(36,1),(37,1),(39,1),(68,1)}
       53:{1,2,4,7}:{(37,1),(38,1),(68,1)}
       54:{2,3,5,6}:{(39,1),(43,1),(66,1),(69,1),(70,1)}
       55:{1,3,5,6}:{(39,1),(41,1),(67,1),(69,1),(71,1)}
       56:{3,5,7}:{(39,1),(40,1),(61,1),(68,1)}
       57:{1,4,5,7}:{(41,1),(42,1),(62,1),(71,1)}
       58:{2,4,5,7}:{(43,1),(44,1),(63,1),(70,1)}
       59:{2,5,6,7}:{(45,1),(63,1)}
       60:{3,5,6,7}:{(46,1),(48,1),(72,1)}
       61:{3,6,7}:{(47,1),(56,1)}
       62:{1,4,6,7}:{(48,1),(57,1),(72,1),(74,1)}
       63:{2,4,6,7}:{(49,1),(58,1),(59,1),(73,1)}
       64:{1,2,3,4}:{(75,1)}
       65:{1,2,4,5}:{(50,1),(51,1),(75,1),(76,1)}
       66:{2,3,4,6}:{(50,1),(52,1),(54,1),(76,1),(77,1)}
       67:{1,3,4,6}:{(51,1),(52,1),(55,1),(76,1),(78,1)}
       68:{3,4,7}:{(52,1),(53,1),(56,1)}
       69:{1,2,5,6}:{(54,1),(55,1),(76,1),(79,1)}
       70:{2,3,5,7}:{(54,1),(56,1),(58,1),(73,1),(77,1),(79,1)}
       71:{1,3,5,7}:{(55,1),(56,1),(57,1),(74,1),(78,1),(79,1)}
       72:{1,5,6,7}:{(60,1),(62,1)}
       73:{2,3,6,7}:{(61,1),(63,1),(70,1),(80,1)}
       74:{1,3,6,7}:{(61,1),(62,1),(71,1),(80,1)}
       75:{1,2,3,5}:{(64,1),(65,1),(81,1)}
       76:{1,2,4,6}:{(65,1),(66,1),(67,1),(69,1),(81,1),(82,1)}
       77:{2,3,4,7}:{(66,1),(68,1),(70,1),(82,1)}
       78:{1,3,4,7}:{(67,1),(68,1),(71,1),(82,1)}
       79:{1,2,5,7}:{(69,1),(70,1),(71,1),(80,1),(82,1)}
       80:{1,2,6,7}:{(73,1),(74,1),(79,1)}
       81:{1,2,3,6}:{(75,1),(76,1),(83,1)}
       82:{1,2,4,7}:{(76,1),(77,1),(78,1),(79,1),(83,1)}
       83:{1,2,3,7}:{(81,1),(82,1)}

2250 :  0:{1,2,3,4,7}:{(1,1),(2,1),(32,1),(82,1)}
        1:{1,2,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(43,1),(74,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        3:{1,3,4,5,7}:{(5,1),(8,1),(20,1),(24,1),(47,1)}
        4:{2,3,4,5,7}:{(5,1),(9,1),(20,1),(26,1),(47,1)}
        5:{1,2,4,5,7}:{(2,1),(3,1),(4,1),(10,1),(11,1),(28,1),(32,1)}
        6:{1,2,3,5}:{(1,1),(11,1)}
        7:{1,2,3,6}:{(2,1),(10,1)}
        8:{1,3,4,6}:{(3,1),(10,1),(14,1),(31,1)}
        9:{2,3,4,6}:{(4,1),(10,1),(16,1),(31,1)}
       10:{1,2,4,6}:{(5,1),(7,1),(8,1),(9,1),(18,1)}
       11:{1,2,4,5}:{(6,1),(20,1),(21,1)}
       12:{1,2,3,5,6}:{(6,1),(7,1),(18,1),(21,1),(22,1),(41,1),(71,1),(74,1)}
       13:{1,2,3,6,7}:{(7,1),(19,1),(22,1),(70,1),(83,1)}
       14:{1,3,5,6}:{(8,1),(18,1),(23,1),(24,1),(41,1)}
       15:{1,3,4,6,7}:{(8,1),(19,1),(24,1),(47,1),(48,1),(70,1)}
       16:{2,3,5,6}:{(9,1),(18,1),(25,1),(26,1),(41,1)}
       17:{2,3,4,6,7}:{(9,1),(19,1),(26,1),(47,1),(51,1),(70,1)}
       18:{1,2,5,6}:{(10,1),(14,1),(16,1),(28,1)}
       19:{1,2,4,6,7}:{(10,1),(13,1),(15,1),(17,1),(28,1),(32,1)}
       20:{3,4,5}:{(11,1),(31,1)}
       21:{1,2,4,6}:{(11,1),(12,1),(31,1),(32,1)}
       22:{1,2,3,5,7}:{(12,1),(13,1),(28,1),(32,1),(59,1),(81,1),(82,1)}
       23:{1,4,5,6}:{(14,1),(34,1),(35,1)}
       24:{1,3,5,7}:{(14,1),(15,1),(28,1),(35,1),(59,1)}
       25:{2,4,5,6}:{(16,1),(37,1),(38,1)}
       26:{2,3,5,7}:{(16,1),(17,1),(28,1),(38,1),(59,1)}
       27:{1,2,4,5,6}:{(18,1),(21,1),(23,1),(25,1),(41,1),(42,1),(49,1),(52,1),(71,1)}
       28:{1,2,5,7}:{(18,1),(19,1),(24,1),(26,1)}
       29:{2,3,4,5}:{(20,1),(44,1),(45,1)}
       30:{1,3,4,5}:{(20,1),(44,1),(46,1)}
       31:{3,4,6}:{(20,1),(21,1),(41,1),(47,1)}
       32:{1,2,4,7}:{(21,1),(22,1),(47,1)}
       33:{1,3,5,6,7}:{(24,1),(40,1),(48,1),(54,1),(70,1)}
       34:{3,4,5,6}:{(23,1),(41,1),(49,1),(50,1)}
       35:{1,4,5,7}:{(23,1),(24,1),(48,1),(50,1)}
       36:{2,3,5,6,7}:{(26,1),(40,1),(51,1),(69,1),(70,1)}
       37:{3,4,5,6}:{(25,1),(41,1),(52,1),(53,1)}
       38:{2,4,5,7}:{(25,1),(26,1),(51,1),(53,1)}
       39:{1,4,5,6,7}:{(48,1),(54,1)}
       40:{1,2,5,6,7}:{(28,1),(33,1),(36,1),(56,1),(68,1),(78,1)}
       41:{3,5,6}:{(27,1),(31,1),(59,1)}
       42:{1,2,4,5,7}:{(27,1),(28,1),(32,1),(35,1),(38,1),(56,1),(59,1),(65,1),(67,1),(81,1)}
       43:{1,2,3,4}:{(60,1)}
       44:{1,2,4,5}:{(29,1),(30,1),(60,1),(61,1)}
       45:{2,3,4,6}:{(29,1),(31,1),(57,1),(61,1),(62,1)}
       46:{1,3,4,6}:{(30,1),(31,1),(58,1),(61,1),(63,1)}
       47:{3,4,7}:{(31,1),(32,1),(59,1)}
       48:{1,4,6,7}:{(33,1),(35,1),(64,1)}
       49:{2,4,5,6}:{(34,1),(57,1),(65,1)}
       50:{3,4,5,7}:{(34,1),(35,1),(59,1),(64,1),(65,1)}
       51:{2,4,6,7}:{(36,1),(38,1),(66,1)}
       52:{1,4,5,6}:{(37,1),(58,1),(67,1)}
       53:{3,4,5,7}:{(37,1),(38,1),(59,1),(66,1),(67,1)}
       54:{3,5,6,7}:{(39,1),(64,1),(68,1)}
       55:{2,4,5,6,7}:{(51,1),(69,1)}
       56:{1,2,4,6,7}:{(40,1),(42,1),(48,1),(51,1),(70,1),(76,1),(77,1),(83,1)}
       57:{2,3,5,6}:{(41,1),(45,1),(49,1),(71,1),(72,1)}
       58:{1,3,5,6}:{(41,1),(46,1),(52,1),(71,1),(73,1)}
       59:{3,5,7}:{(41,1),(42,1),(47,1),(70,1)}
       60:{1,2,3,5}:{(43,1),(44,1),(74,1)}
       61:{1,2,4,6}:{(44,1),(45,1),(46,1),(71,1),(74,1),(75,1)}
       62:{2,3,4,7}:{(45,1),(47,1),(72,1),(75,1)}
       63:{1,3,4,7}:{(46,1),(47,1),(73,1),(75,1)}
       64:{3,4,6,7}:{(48,1),(50,1),(54,1),(70,1),(76,1)}
       65:{2,4,5,7}:{(49,1),(50,1),(72,1),(76,1)}
       66:{3,4,6,7}:{(51,1),(53,1),(69,1),(70,1),(77,1)}
       67:{1,4,5,7}:{(52,1),(53,1),(73,1),(77,1)}
       68:{2,5,6,7}:{(54,1),(76,1)}
       69:{3,5,6,7}:{(55,1),(66,1),(78,1)}
       70:{3,6,7}:{(56,1),(59,1)}
       71:{1,2,5,6}:{(57,1),(58,1),(61,1),(81,1)}
       72:{2,3,5,7}:{(57,1),(59,1),(62,1),(65,1),(79,1),(81,1)}
       73:{1,3,5,7}:{(58,1),(59,1),(63,1),(67,1),(80,1),(81,1)}
       74:{1,2,3,6}:{(60,1),(61,1),(82,1)}
       75:{1,2,4,7}:{(61,1),(62,1),(63,1),(81,1),(82,1)}
       76:{2,4,6,7}:{(64,1),(65,1),(68,1),(79,1)}
       77:{1,4,6,7}:{(66,1),(67,1),(78,1),(80,1)}
       78:{1,5,6,7}:{(69,1),(77,1)}
       79:{2,3,6,7}:{(70,1),(72,1),(76,1),(83,1)}
       80:{1,3,6,7}:{(70,1),(73,1),(77,1),(83,1)}
       81:{1,2,5,7}:{(71,1),(72,1),(73,1),(75,1),(83,1)}
       82:{1,2,3,7}:{(74,1),(75,1)}
       83:{1,2,6,7}:{(79,1),(80,1),(81,1)}

2251 :  0:{1,2,3,4,7}:{(1,1),(2,1),(31,1),(55,1)}
        1:{1,2,3,4,6}:{(0,1),(4,1),(6,1),(16,1),(18,1),(40,1)}
        2:{1,2,3,5,7}:{(0,1),(4,1),(5,1),(6,1)}
        3:{1,3,4,5,7}:{(5,1),(7,1),(17,1),(23,1),(44,1)}
        4:{1,2,3,5}:{(1,1),(9,1)}
        5:{1,2,4,5,7}:{(2,1),(3,1),(8,1),(9,1),(11,1),(31,1),(32,1)}
        6:{1,2,3,6}:{(2,1),(11,1)}
        7:{1,3,4,6}:{(3,1),(11,1),(13,1),(29,1)}
        8:{2,3,4,5,7}:{(5,1),(15,1),(17,1),(38,1),(44,1)}
        9:{1,2,4,5}:{(4,1),(17,1),(18,1)}
       10:{1,2,3,5,6}:{(4,1),(6,1),(18,1),(19,1),(20,1),(40,1),(43,1),(68,1)}
       11:{1,2,4,6}:{(5,1),(6,1),(7,1),(15,1),(20,1)}
       12:{1,2,3,6,7}:{(6,1),(19,1),(21,1),(72,1),(82,1)}
       13:{1,3,5,6}:{(7,1),(20,1),(22,1),(23,1),(43,1)}
       14:{1,3,4,6,7}:{(7,1),(21,1),(23,1),(44,1),(49,1),(72,1)}
       15:{2,3,4,6}:{(8,1),(11,1),(24,1),(29,1)}
       16:{1,2,3,4}:{(26,1)}
       17:{3,4,5}:{(9,1),(29,1)}
       18:{1,2,4,6}:{(9,1),(10,1),(29,1),(31,1)}
       19:{1,2,3,5,7}:{(10,1),(12,1),(31,1),(32,1),(55,1),(60,1),(77,1)}
       20:{1,2,5,6}:{(11,1),(13,1),(24,1),(32,1)}
       21:{1,2,4,6,7}:{(11,1),(12,1),(14,1),(25,1),(31,1),(32,1)}
       22:{1,4,5,6}:{(13,1),(33,1),(34,1)}
       23:{1,3,5,7}:{(13,1),(14,1),(32,1),(34,1),(60,1)}
       24:{2,3,5,6}:{(15,1),(20,1),(37,1),(38,1),(43,1)}
       25:{2,3,4,6,7}:{(15,1),(21,1),(38,1),(44,1),(67,1),(72,1)}
       26:{1,2,3,5}:{(16,1),(39,1),(40,1)}
       27:{1,3,4,5}:{(17,1),(39,1),(41,1)}
       28:{2,3,4,5}:{(17,1),(39,1),(42,1)}
       29:{3,4,6}:{(17,1),(18,1),(43,1),(44,1)}
       30:{1,2,4,5,6}:{(18,1),(20,1),(22,1),(37,1),(43,1),(45,1),(47,1),(65,1),(68,1)}
       31:{1,2,4,7}:{(18,1),(19,1),(44,1)}
       32:{1,2,5,7}:{(20,1),(21,1),(23,1),(38,1)}
       33:{3,4,5,6}:{(22,1),(43,1),(47,1),(48,1)}
       34:{1,4,5,7}:{(22,1),(23,1),(48,1),(49,1)}
       35:{1,3,5,6,7}:{(23,1),(46,1),(49,1),(50,1),(72,1)}
       36:{1,4,5,6,7}:{(49,1),(50,1)}
       37:{2,4,5,6}:{(24,1),(51,1),(52,1)}
       38:{2,3,5,7}:{(24,1),(25,1),(32,1),(52,1),(60,1)}
       39:{1,2,4,5}:{(26,1),(27,1),(28,1),(54,1)}
       40:{1,2,3,6}:{(26,1),(54,1),(55,1)}
       41:{1,3,4,6}:{(27,1),(29,1),(54,1),(56,1),(57,1)}
       42:{2,3,4,6}:{(28,1),(29,1),(54,1),(58,1),(59,1)}
       43:{3,5,6}:{(29,1),(30,1),(60,1)}
       44:{3,4,7}:{(29,1),(31,1),(60,1)}
       45:{1,2,4,5,7}:{(30,1),(31,1),(32,1),(34,1),(52,1),(60,1),(61,1),(62,1),(75,1),(77,1)}
       46:{1,2,5,6,7}:{(32,1),(35,1),(53,1),(61,1),(64,1),(83,1)}
       47:{2,4,5,6}:{(33,1),(58,1),(62,1)}
       48:{3,4,5,7}:{(33,1),(34,1),(60,1),(62,1),(63,1)}
       49:{1,4,6,7}:{(34,1),(35,1),(63,1)}
       50:{3,5,6,7}:{(36,1),(63,1),(64,1)}
       51:{3,4,5,6}:{(37,1),(43,1),(65,1),(66,1)}
       52:{2,4,5,7}:{(37,1),(38,1),(66,1),(67,1)}
       53:{2,3,5,6,7}:{(38,1),(46,1),(67,1),(72,1),(80,1)}
       54:{1,2,4,6}:{(39,1),(40,1),(41,1),(42,1),(68,1),(69,1)}
       55:{1,2,3,7}:{(40,1),(69,1)}
       56:{1,3,5,6}:{(41,1),(43,1),(65,1),(68,1),(70,1)}
       57:{1,3,4,7}:{(41,1),(44,1),(69,1),(70,1)}
       58:{2,3,5,6}:{(42,1),(43,1),(47,1),(68,1),(71,1)}
       59:{2,3,4,7}:{(42,1),(44,1),(69,1),(71,1)}
       60:{3,5,7}:{(43,1),(44,1),(45,1),(72,1)}
       61:{1,2,4,6,7}:{(45,1),(46,1),(49,1),(67,1),(72,1),(73,1),(81,1),(82,1)}
       62:{2,4,5,7}:{(47,1),(48,1),(71,1),(73,1)}
       63:{3,4,6,7}:{(48,1),(49,1),(50,1),(72,1),(73,1)}
       64:{2,5,6,7}:{(50,1),(73,1)}
       65:{1,4,5,6}:{(51,1),(56,1),(75,1)}
       66:{3,4,5,7}:{(51,1),(52,1),(60,1),(75,1),(76,1)}
       67:{2,4,6,7}:{(52,1),(53,1),(76,1)}
       68:{1,2,5,6}:{(54,1),(56,1),(58,1),(77,1)}
       69:{1,2,4,7}:{(54,1),(55,1),(57,1),(59,1),(77,1)}
       70:{1,3,5,7}:{(56,1),(57,1),(60,1),(75,1),(77,1),(78,1)}
       71:{2,3,5,7}:{(58,1),(59,1),(60,1),(62,1),(77,1),(79,1)}
       72:{3,6,7}:{(60,1),(61,1)}
       73:{2,4,6,7}:{(62,1),(63,1),(64,1),(79,1)}
       74:{2,4,5,6,7}:{(67,1),(80,1)}
       75:{1,4,5,7}:{(65,1),(66,1),(70,1),(81,1)}
       76:{3,4,6,7}:{(66,1),(67,1),(72,1),(80,1),(81,1)}
       77:{1,2,5,7}:{(68,1),(69,1),(70,1),(71,1),(82,1)}
       78:{1,3,6,7}:{(70,1),(72,1),(81,1),(82,1)}
       79:{2,3,6,7}:{(71,1),(72,1),(73,1),(82,1)}
       80:{3,5,6,7}:{(74,1),(76,1),(83,1)}
       81:{1,4,6,7}:{(75,1),(76,1),(78,1),(83,1)}
       82:{1,2,6,7}:{(77,1),(78,1),(79,1)}
       83:{1,5,6,7}:{(80,1),(81,1)}

2252 :  0:{1,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,3,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,4,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,2,4,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,5,7}:{(4,1),(8,1),(9,1)}
        7:{1,3,4,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,2,4,5,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,6}:{(6,1),(12,1),(27,1)}
       10:{1,2,3,4,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{1,3,5,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6}:{(8,1),(9,1),(16,1),(23,1)}
       13:{2,3,4,5,6,7}:{(9,1),(17,1),(32,1)}
       14:{1,2,3,5,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{1,3,4,5,7}:{(11,1),(18,1),(20,1)}
       16:{1,3,5,6}:{(11,1),(12,1),(20,1)}
       17:{1,2,4,5,6,7}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,2,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(14,1),(16,1),(23,1),(31,1)}
       20:{1,3,4,6}:{(15,1),(16,1),(23,1)}
       21:{1,3,5,6,7}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,5,7}:{(18,1),(27,1),(34,1)}
       23:{1,2,4,6}:{(18,1),(19,1),(20,1),(27,1)}
       24:{1,2,3,5,6,7}:{(19,1),(21,1),(29,1),(34,1)}
       25:{1,3,4,5,6}:{(20,1),(28,1),(30,1)}
       26:{1,3,4,6,7}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,4,6}:{(22,1),(23,1),(31,1)}
       28:{1,2,4,5,6}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{1,3,4,5,7}:{(25,1),(26,1),(33,1)}
       31:{2,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{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:{2,3,5,7}:{(31,1),(32,1),(33,1)}

2253 :   0:{2,3,4,5,6}:{(2,1),(3,1),(37,1),(66,1),(77,1)}
         1:{1,2,3,4,6}:{(5,1),(6,1),(27,1),(29,1)}
         2:{1,2,4,5,6}:{(0,1),(8,1),(9,1),(27,1),(56,1),(61,1)}
         3:{2,3,4,5,7}:{(0,1),(9,1),(10,1),(52,1),(83,1),(96,1)}
         4:{1,3,4,5,6}:{(11,1),(12,1),(18,1),(46,1),(100,1)}
         5:{1,2,3,4,7}:{(1,1),(15,1),(42,1)}
         6:{1,2,3,5}:{(1,1),(13,1)}
         7:{1,3,4,5}:{(13,1),(18,1)}
         8:{1,3,5,6}:{(2,1),(18,1),(19,1)}
         9:{1,2,4,5,7}:{(2,1),(3,1),(19,1),(20,1),(42,1),(72,1),(78,1)}
        10:{2,3,4,6,7}:{(3,1),(20,1),(21,1),(79,1)}
        11:{1,2,4,5,6}:{(4,1),(23,1),(24,1),(27,1),(56,1),(82,1)}
        12:{1,3,4,5,7}:{(4,1),(24,1),(25,1),(32,1),(62,1),(119,1)}
        13:{1,2,4,5}:{(6,1),(7,1),(22,1),(27,1)}
        14:{1,2,3,4,6,7}:{(5,1),(28,1),(29,1),(57,1),(59,1),(89,1),(93,1),(127,1),(128,1)}
        15:{1,2,3,5,7}:{(5,1),(6,1),(26,1),(29,1)}
        16:{1,2,3,5,6}:{(6,1),(8,1),(23,1),(27,1),(29,1),(30,1),(56,1)}
        17:{1,3,4,5,7}:{(7,1),(26,1),(31,1),(32,1),(58,1),(62,1)}
        18:{1,3,4,6}:{(7,1),(8,1),(27,1),(32,1)}
        19:{1,3,5,7}:{(8,1),(9,1),(32,1),(33,1)}
        20:{1,2,4,6,7}:{(9,1),(10,1),(33,1),(34,1),(63,1)}
        21:{2,3,5,6,7}:{(10,1),(34,1),(35,1),(64,1),(83,1)}
        22:{2,3,4,5}:{(13,1),(37,1)}
        23:{2,3,5,6}:{(11,1),(37,1),(38,1)}
        24:{1,2,4,5,7}:{(11,1),(12,1),(38,1),(39,1),(42,1),(72,1),(101,1)}
        25:{1,3,4,6,7}:{(12,1),(39,1),(40,1),(102,1)}
        26:{1,2,4,5,7}:{(13,1),(15,1),(17,1),(36,1),(41,1),(42,1),(72,1)}
        27:{1,2,4,6}:{(13,1),(16,1),(18,1),(37,1),(42,1)}
        28:{1,2,3,5,7}:{(14,1),(43,1),(44,1),(72,1),(108,1),(139,1)}
        29:{1,2,3,6}:{(15,1),(41,1)}
        30:{1,2,3,5,7}:{(16,1),(19,1),(38,1),(42,1),(45,1),(72,1)}
        31:{1,3,4,6}:{(17,1),(41,1),(46,1),(75,1)}
        32:{1,3,4,7}:{(18,1),(19,1),(42,1)}
        33:{1,3,6,7}:{(19,1),(20,1)}
        34:{1,2,5,6,7}:{(20,1),(21,1),(48,1),(72,1)}
        35:{2,4,5,6,7}:{(21,1),(50,1),(101,1)}
        36:{2,3,4,5,7}:{(22,1),(26,1),(51,1),(52,1),(58,1),(83,1)}
        37:{2,3,4,6}:{(22,1),(23,1),(27,1),(52,1)}
        38:{2,3,5,7}:{(23,1),(24,1),(52,1),(53,1)}
        39:{1,2,4,6,7}:{(24,1),(25,1),(53,1),(54,1),(84,1)}
        40:{1,3,5,6,7}:{(25,1),(54,1),(55,1),(62,1),(85,1)}
        41:{1,2,4,6}:{(26,1),(29,1),(31,1),(51,1),(56,1)}
        42:{1,2,4,7}:{(27,1),(30,1),(32,1),(52,1)}
        43:{1,2,4,5,7}:{(28,1),(58,1),(59,1)}
        44:{1,2,3,5,6}:{(28,1),(29,1),(56,1),(59,1),(87,1),(124,1),(127,1)}
        45:{1,2,3,6,7}:{(29,1),(30,1),(33,1),(53,1),(57,1)}
        46:{1,3,5,6}:{(31,1),(56,1),(61,1),(62,1),(87,1)}
        47:{1,3,4,6,7}:{(31,1),(32,1),(33,1),(57,1),(62,1),(63,1),(93,1)}
        48:{1,3,5,6,7}:{(33,1),(34,1),(62,1),(63,1),(64,1)}
        49:{1,2,4,5,6,7}:{(34,1),(35,1),(63,1),(64,1),(65,1),(88,1),(97,1),(99,1)}
        50:{3,4,5,6,7}:{(35,1),(64,1),(65,1),(119,1)}
        51:{2,3,4,6}:{(36,1),(41,1),(66,1),(75,1)}
        52:{2,3,4,7}:{(37,1),(38,1),(42,1)}
        53:{2,3,6,7}:{(38,1),(39,1)}
        54:{1,2,5,6,7}:{(39,1),(40,1),(68,1),(72,1)}
        55:{1,4,5,6,7}:{(40,1),(70,1),(78,1)}
        56:{1,2,5,6}:{(41,1),(46,1),(66,1),(72,1)}
        57:{1,2,4,6,7}:{(41,1),(42,1),(45,1),(47,1),(67,1),(72,1)}
        58:{3,4,5,7}:{(43,1),(75,1),(108,1)}
        59:{1,2,4,6}:{(43,1),(44,1),(75,1)}
        60:{1,2,3,5,6,7}:{(44,1),(45,1),(48,1),(68,1),(72,1),(76,1),(80,1),(104,1),(108,1),(139,1),(140,1)}
        61:{1,4,5,6}:{(46,1),(77,1),(78,1)}
        62:{1,3,5,7}:{(46,1),(47,1),(72,1),(78,1),(108,1)}
        63:{1,4,6,7}:{(48,1),(78,1),(79,1)}
        64:{3,5,6,7}:{(49,1),(79,1),(108,1)}
        65:{1,4,5,6,7}:{(50,1),(81,1),(135,1)}
        66:{2,3,5,6}:{(51,1),(56,1),(82,1),(83,1),(87,1)}
        67:{2,3,4,6,7}:{(51,1),(52,1),(53,1),(57,1),(83,1),(84,1),(93,1)}
        68:{2,3,5,6,7}:{(53,1),(54,1),(83,1),(84,1),(85,1)}
        69:{1,2,4,5,6,7}:{(54,1),(55,1),(84,1),(85,1),(86,1),(88,1),(121,1),(122,1)}
        70:{3,4,5,6,7}:{(55,1),(85,1),(86,1),(96,1)}
        71:{1,2,4,5,6}:{(56,1),(59,1),(61,1),(82,1),(87,1),(88,1),(94,1),(118,1),(124,1)}
        72:{1,2,5,7}:{(56,1),(57,1),(62,1),(83,1)}
        73:{2,3,4,5,7}:{(58,1),(90,1),(91,1),(125,1),(129,1),(149,1)}
        74:{1,3,4,5,7}:{(58,1),(90,1),(92,1),(126,1),(143,1),(153,1)}
        75:{3,4,6}:{(58,1),(59,1),(87,1)}
        76:{1,2,4,6,7}:{(59,1),(60,1),(63,1),(84,1),(88,1),(93,1),(97,1),(121,1)}
        77:{3,4,5,6}:{(61,1),(87,1),(94,1),(96,1)}
        78:{1,4,5,7}:{(61,1),(62,1),(63,1),(96,1)}
        79:{3,4,6,7}:{(63,1),(64,1),(96,1),(97,1)}
        80:{2,3,5,6,7}:{(64,1),(97,1),(99,1),(125,1),(132,1)}
        81:{1,3,5,6,7}:{(64,1),(65,1),(98,1),(99,1),(126,1)}
        82:{2,4,5,6}:{(66,1),(100,1),(101,1)}
        83:{2,3,5,7}:{(66,1),(67,1),(72,1),(101,1),(108,1)}
        84:{2,4,6,7}:{(68,1),(101,1),(102,1)}
        85:{3,5,6,7}:{(69,1),(102,1),(108,1)}
        86:{2,4,5,6,7}:{(70,1),(103,1),(114,1)}
        87:{3,5,6}:{(71,1),(75,1),(108,1)}
        88:{1,2,4,5,7}:{(71,1),(72,1),(76,1),(78,1),(101,1),(108,1),(114,1),(135,1),(139,1)}
        89:{1,2,3,4,7}:{(105,1),(109,1),(152,1)}
        90:{1,2,4,5,7}:{(73,1),(74,1),(109,1),(110,1),(137,1),(139,1),(152,1)}
        91:{2,3,4,6}:{(73,1),(75,1),(106,1),(110,1)}
        92:{1,3,4,6}:{(74,1),(75,1),(107,1),(110,1)}
        93:{3,4,6,7}:{(75,1),(76,1),(108,1)}
        94:{2,4,5,6}:{(77,1),(106,1),(114,1)}
        95:{1,3,4,5,6}:{(77,1),(107,1),(113,1),(115,1),(150,1)}
        96:{3,4,5,7}:{(77,1),(78,1),(79,1),(108,1),(114,1)}
        97:{2,4,6,7}:{(79,1),(80,1),(114,1)}
        98:{1,3,4,6,7}:{(79,1),(81,1),(115,1),(116,1)}
        99:{1,2,5,6,7}:{(80,1),(81,1),(116,1),(139,1)}
       100:{3,4,5,6}:{(82,1),(87,1),(118,1),(119,1)}
       101:{2,4,5,7}:{(82,1),(83,1),(84,1),(119,1)}
       102:{3,4,6,7}:{(84,1),(85,1),(119,1),(121,1)}
       103:{2,3,5,6,7}:{(85,1),(86,1),(120,1),(122,1),(125,1)}
       104:{1,3,5,6,7}:{(85,1),(121,1),(122,1),(126,1),(146,1)}
       105:{1,2,3,4,6}:{(89,1),(123,1),(127,1),(147,1)}
       106:{2,3,5,6}:{(87,1),(91,1),(94,1),(124,1),(125,1)}
       107:{1,3,5,6}:{(87,1),(92,1),(118,1),(124,1),(126,1)}
       108:{3,5,7}:{(87,1),(88,1),(93,1)}
       109:{1,2,3,5,7}:{(89,1),(90,1),(123,1),(127,1)}
       110:{1,2,4,6}:{(90,1),(91,1),(92,1),(124,1),(127,1)}
       111:{2,3,4,6,7}:{(91,1),(93,1),(97,1),(125,1),(128,1),(132,1),(149,1)}
       112:{1,3,4,6,7}:{(92,1),(93,1),(121,1),(126,1),(128,1),(146,1),(153,1)}
       113:{1,2,4,5,6}:{(94,1),(95,1),(124,1),(130,1),(131,1),(147,1)}
       114:{2,4,5,7}:{(94,1),(96,1),(97,1),(125,1)}
       115:{1,3,4,5,7}:{(95,1),(96,1),(98,1),(126,1),(131,1),(153,1)}
       116:{1,2,4,6,7}:{(97,1),(98,1),(99,1),(131,1),(132,1)}
       117:{2,3,4,5,6}:{(100,1),(106,1),(133,1),(134,1),(141,1)}
       118:{1,4,5,6}:{(100,1),(107,1),(135,1)}
       119:{3,4,5,7}:{(100,1),(101,1),(102,1),(108,1),(135,1)}
       120:{2,3,4,6,7}:{(102,1),(103,1),(134,1),(136,1)}
       121:{1,4,6,7}:{(102,1),(104,1),(135,1)}
       122:{1,2,5,6,7}:{(103,1),(104,1),(136,1),(139,1)}
       123:{1,2,3,5}:{(105,1),(137,1)}
       124:{1,2,5,6}:{(106,1),(107,1),(110,1),(139,1)}
       125:{2,3,5,7}:{(106,1),(108,1),(111,1),(114,1),(139,1)}
       126:{1,3,5,7}:{(107,1),(108,1),(112,1),(135,1),(139,1)}
       127:{1,2,3,6}:{(109,1),(110,1)}
       128:{1,2,4,6,7}:{(110,1),(111,1),(112,1),(139,1),(140,1),(152,1)}
       129:{2,3,4,5}:{(137,1),(141,1)}
       130:{2,3,5,6}:{(113,1),(141,1),(142,1)}
       131:{1,2,4,5,7}:{(113,1),(114,1),(115,1),(116,1),(139,1),(142,1),(152,1)}
       132:{2,3,6,7}:{(116,1),(142,1)}
       133:{1,2,4,5,6}:{(117,1),(118,1),(124,1),(144,1),(145,1),(147,1)}
       134:{2,3,4,5,7}:{(117,1),(119,1),(120,1),(125,1),(145,1),(149,1)}
       135:{1,4,5,7}:{(118,1),(119,1),(121,1),(126,1)}
       136:{1,2,4,6,7}:{(120,1),(121,1),(122,1),(145,1),(146,1)}
       137:{1,2,4,5}:{(123,1),(129,1),(143,1),(147,1)}
       138:{1,2,3,5,6}:{(123,1),(124,1),(127,1),(130,1),(144,1),(147,1),(148,1)}
       139:{1,2,5,7}:{(124,1),(125,1),(126,1),(128,1)}
       140:{1,2,3,6,7}:{(127,1),(128,1),(132,1),(146,1),(148,1)}
       141:{2,3,4,6}:{(129,1),(130,1),(147,1),(149,1)}
       142:{2,3,5,7}:{(130,1),(131,1),(132,1),(149,1)}
       143:{1,3,4,5}:{(137,1),(150,1)}
       144:{1,3,5,6}:{(133,1),(150,1),(151,1)}
       145:{1,2,4,5,7}:{(133,1),(134,1),(135,1),(136,1),(139,1),(151,1),(152,1)}
       146:{1,3,6,7}:{(136,1),(151,1)}
       147:{1,2,4,6}:{(137,1),(138,1),(141,1),(150,1),(152,1)}
       148:{1,2,3,5,7}:{(138,1),(139,1),(140,1),(142,1),(151,1),(152,1)}
       149:{2,3,4,7}:{(141,1),(142,1),(152,1)}
       150:{1,3,4,6}:{(143,1),(144,1),(147,1),(153,1)}
       151:{1,3,5,7}:{(144,1),(145,1),(146,1),(153,1)}
       152:{1,2,4,7}:{(147,1),(148,1),(149,1),(153,1)}
       153:{1,3,4,7}:{(150,1),(151,1),(152,1)}

2254 :   0:{2,3,4,5,6}:{(1,1),(2,1),(35,1),(117,1),(130,1)}
         1:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(54,1),(96,1),(112,1)}
         2:{1,2,4,5,6}:{(0,1),(5,1),(6,1),(20,1),(102,1),(113,1)}
         3:{1,3,4,5,6}:{(7,1),(8,1),(15,1),(92,1),(145,1)}
         4:{2,3,4,6,7}:{(1,1),(12,1),(13,1),(90,1)}
         5:{1,2,4,5,7}:{(1,1),(2,1),(13,1),(14,1),(37,1),(80,1),(91,1)}
         6:{1,3,5,6}:{(2,1),(14,1),(15,1)}
         7:{1,3,4,5,7}:{(3,1),(16,1),(17,1),(29,1),(70,1),(132,1)}
         8:{1,2,4,5,6}:{(3,1),(17,1),(18,1),(20,1),(102,1),(133,1)}
         9:{1,2,3,5,6}:{(6,1),(18,1),(19,1),(20,1),(24,1),(66,1),(102,1)}
        10:{1,2,3,4,6}:{(20,1),(23,1),(24,1),(66,1)}
        11:{3,4,5,6,7}:{(25,1),(26,1),(68,1),(132,1)}
        12:{2,3,5,6,7}:{(4,1),(26,1),(27,1),(68,1),(96,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(27,1),(28,1),(69,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(28,1),(29,1)}
        15:{1,3,4,6}:{(6,1),(20,1),(29,1),(30,1)}
        16:{1,3,4,6,7}:{(7,1),(32,1),(33,1),(115,1)}
        17:{1,2,4,5,7}:{(7,1),(8,1),(33,1),(34,1),(37,1),(80,1),(116,1)}
        18:{2,3,5,6}:{(8,1),(34,1),(35,1)}
        19:{1,2,3,5,7}:{(9,1),(14,1),(34,1),(36,1),(37,1),(80,1)}
        20:{1,2,4,6}:{(9,1),(15,1),(35,1),(37,1),(38,1)}
        21:{2,3,4,5,6}:{(39,1),(40,1),(86,1),(145,1),(148,1)}
        22:{1,3,4,5,6}:{(41,1),(42,1),(84,1),(130,1),(147,1)}
        23:{1,2,3,4,7}:{(10,1),(37,1),(44,1)}
        24:{1,2,3,5}:{(10,1),(38,1)}
        25:{1,4,5,6,7}:{(11,1),(45,1),(144,1)}
        26:{2,4,5,6,7}:{(11,1),(12,1),(116,1)}
        27:{1,2,5,6,7}:{(12,1),(13,1),(47,1),(80,1)}
        28:{1,3,6,7}:{(13,1),(14,1)}
        29:{1,3,4,7}:{(14,1),(15,1),(37,1)}
        30:{1,3,4,5}:{(15,1),(38,1)}
        31:{3,4,5,6,7}:{(50,1),(51,1),(94,1),(112,1)}
        32:{1,3,5,6,7}:{(16,1),(50,1),(52,1),(70,1),(94,1)}
        33:{1,2,4,6,7}:{(16,1),(17,1),(52,1),(53,1),(95,1)}
        34:{2,3,5,7}:{(17,1),(18,1),(53,1),(54,1)}
        35:{2,3,4,6}:{(18,1),(20,1),(54,1),(55,1)}
        36:{1,2,3,6,7}:{(19,1),(28,1),(53,1),(59,1),(66,1)}
        37:{1,2,4,7}:{(19,1),(20,1),(29,1),(54,1)}
        38:{1,2,4,5}:{(20,1),(24,1),(30,1),(55,1)}
        39:{2,3,4,5,7}:{(21,1),(56,1),(61,1),(107,1),(132,1),(136,1)}
        40:{1,2,4,5,6}:{(21,1),(61,1),(62,1),(104,1),(151,1),(152,1)}
        41:{1,3,4,5,7}:{(22,1),(57,1),(63,1),(105,1),(112,1),(135,1)}
        42:{1,2,4,5,6}:{(22,1),(63,1),(64,1),(104,1),(143,1),(152,1)}
        43:{1,2,3,4,6,7}:{(23,1),(59,1),(65,1),(66,1),(100,1),(110,1),(134,1),(138,1),(153,1)}
        44:{1,2,3,5,7}:{(23,1),(24,1),(60,1),(66,1)}
        45:{1,3,5,6,7}:{(25,1),(57,1),(67,1),(68,1),(135,1)}
        46:{1,2,4,5,6,7}:{(25,1),(26,1),(27,1),(67,1),(68,1),(69,1),(101,1),(111,1)}
        47:{1,3,5,6,7}:{(27,1),(28,1),(68,1),(69,1),(70,1)}
        48:{1,3,4,6,7}:{(28,1),(29,1),(59,1),(69,1),(70,1),(71,1),(100,1)}
        49:{1,3,4,5,7}:{(29,1),(30,1),(60,1),(70,1),(71,1),(109,1)}
        50:{1,4,5,6,7}:{(31,1),(32,1),(91,1)}
        51:{2,4,5,6,7}:{(31,1),(72,1),(129,1)}
        52:{1,2,5,6,7}:{(32,1),(33,1),(74,1),(80,1)}
        53:{2,3,6,7}:{(33,1),(34,1)}
        54:{2,3,4,7}:{(34,1),(35,1),(37,1)}
        55:{2,3,4,5}:{(35,1),(38,1)}
        56:{2,3,4,6,7}:{(39,1),(72,1),(77,1),(115,1)}
        57:{1,3,4,6,7}:{(41,1),(45,1),(78,1),(90,1)}
        58:{1,2,3,5,6,7}:{(36,1),(47,1),(74,1),(79,1),(80,1),(88,1),(89,1),(114,1),(118,1),(121,1),(146,1)}
        59:{1,2,4,6,7}:{(36,1),(37,1),(48,1),(75,1),(80,1),(81,1)}
        60:{1,2,4,5,7}:{(37,1),(38,1),(44,1),(49,1),(76,1),(80,1),(81,1)}
        61:{1,2,4,5,7}:{(39,1),(40,1),(77,1),(83,1),(124,1),(144,1),(146,1)}
        62:{1,3,5,6}:{(40,1),(83,1),(84,1)}
        63:{1,2,4,5,7}:{(41,1),(42,1),(78,1),(85,1),(124,1),(129,1),(146,1)}
        64:{2,3,5,6}:{(42,1),(85,1),(86,1)}
        65:{1,2,3,5,7}:{(43,1),(80,1),(87,1),(88,1),(121,1),(146,1)}
        66:{1,2,3,6}:{(44,1),(81,1)}
        67:{1,2,5,6,7}:{(45,1),(78,1),(89,1),(146,1)}
        68:{3,5,6,7}:{(46,1),(90,1),(121,1)}
        69:{1,4,6,7}:{(47,1),(90,1),(91,1)}
        70:{1,3,5,7}:{(48,1),(80,1),(91,1),(92,1),(121,1)}
        71:{1,3,4,6}:{(49,1),(81,1),(92,1),(128,1)}
        72:{2,3,5,6,7}:{(51,1),(56,1),(93,1),(94,1),(136,1)}
        73:{1,2,4,5,6,7}:{(50,1),(51,1),(52,1),(93,1),(94,1),(95,1),(101,1),(131,1)}
        74:{2,3,5,6,7}:{(52,1),(53,1),(94,1),(95,1),(96,1)}
        75:{2,3,4,6,7}:{(53,1),(54,1),(59,1),(95,1),(96,1),(97,1),(100,1)}
        76:{2,3,4,5,7}:{(54,1),(55,1),(60,1),(96,1),(97,1),(109,1)}
        77:{1,2,4,6,7}:{(56,1),(61,1),(93,1),(98,1),(131,1)}
        78:{1,2,4,6,7}:{(57,1),(63,1),(67,1),(99,1),(111,1)}
        79:{1,2,4,6,7}:{(58,1),(69,1),(95,1),(100,1),(101,1),(110,1),(111,1),(131,1)}
        80:{1,2,5,7}:{(59,1),(70,1),(96,1),(102,1)}
        81:{1,2,4,6}:{(60,1),(66,1),(71,1),(97,1),(102,1)}
        82:{1,2,3,5,6}:{(62,1),(64,1),(103,1),(104,1),(139,1),(152,1),(153,1)}
        83:{1,3,5,7}:{(61,1),(62,1),(98,1),(105,1)}
        84:{1,3,4,6}:{(62,1),(104,1),(105,1),(106,1)}
        85:{2,3,5,7}:{(63,1),(64,1),(99,1),(107,1)}
        86:{2,3,4,6}:{(64,1),(104,1),(107,1),(108,1)}
        87:{1,2,4,5,7}:{(65,1),(109,1),(110,1)}
        88:{1,2,3,5,6}:{(65,1),(66,1),(102,1),(110,1),(137,1),(152,1),(153,1)}
        89:{2,3,5,6,7}:{(67,1),(68,1),(99,1),(111,1),(136,1)}
        90:{3,4,6,7}:{(68,1),(69,1),(111,1),(112,1)}
        91:{1,4,5,7}:{(69,1),(70,1),(112,1),(113,1)}
        92:{1,3,5,6}:{(70,1),(71,1),(102,1),(113,1),(137,1)}
        93:{1,2,5,6,7}:{(72,1),(77,1),(114,1),(146,1)}
        94:{3,5,6,7}:{(73,1),(115,1),(121,1)}
        95:{2,4,6,7}:{(74,1),(115,1),(116,1)}
        96:{2,3,5,7}:{(75,1),(80,1),(116,1),(117,1),(121,1)}
        97:{2,3,4,6}:{(76,1),(81,1),(117,1),(128,1)}
        98:{1,3,6,7}:{(77,1),(83,1)}
        99:{2,3,6,7}:{(78,1),(85,1)}
       100:{3,4,6,7}:{(79,1),(121,1),(128,1)}
       101:{1,2,4,5,7}:{(79,1),(80,1),(91,1),(116,1),(121,1),(122,1),(129,1),(144,1),(146,1)}
       102:{1,2,5,6}:{(80,1),(81,1),(92,1),(117,1)}
       103:{1,2,3,5,7}:{(82,1),(83,1),(85,1),(118,1),(124,1),(146,1)}
       104:{1,2,4,6}:{(82,1),(84,1),(86,1),(124,1),(125,1)}
       105:{1,3,4,7}:{(83,1),(84,1),(124,1)}
       106:{1,3,4,5}:{(84,1),(125,1)}
       107:{2,3,4,7}:{(85,1),(86,1),(124,1)}
       108:{2,3,4,5}:{(86,1),(125,1)}
       109:{3,4,5,7}:{(87,1),(121,1),(128,1)}
       110:{1,2,4,6}:{(87,1),(88,1),(128,1)}
       111:{2,4,6,7}:{(89,1),(90,1),(129,1)}
       112:{3,4,5,7}:{(90,1),(91,1),(121,1),(129,1),(130,1)}
       113:{1,4,5,6}:{(91,1),(92,1),(130,1)}
       114:{1,3,5,6,7}:{(93,1),(94,1),(98,1),(131,1),(135,1)}
       115:{3,4,6,7}:{(94,1),(95,1),(131,1),(132,1)}
       116:{2,4,5,7}:{(95,1),(96,1),(132,1),(133,1)}
       117:{2,3,5,6}:{(96,1),(97,1),(102,1),(133,1),(137,1)}
       118:{1,2,3,6,7}:{(98,1),(99,1),(103,1),(134,1),(153,1)}
       119:{1,3,4,6,7}:{(98,1),(100,1),(105,1),(131,1),(134,1),(135,1),(141,1)}
       120:{2,3,4,6,7}:{(99,1),(100,1),(107,1),(111,1),(134,1),(136,1),(142,1)}
       121:{3,5,7}:{(100,1),(101,1),(137,1)}
       122:{1,2,4,5,6}:{(101,1),(102,1),(110,1),(113,1),(133,1),(137,1),(143,1),(151,1),(152,1)}
       123:{1,2,3,4,6}:{(104,1),(138,1),(139,1),(153,1)}
       124:{1,2,4,7}:{(103,1),(104,1),(105,1),(107,1)}
       125:{1,2,4,5}:{(104,1),(106,1),(108,1),(139,1)}
       126:{1,3,4,5,7}:{(105,1),(106,1),(109,1),(135,1),(140,1),(141,1)}
       127:{2,3,4,5,7}:{(107,1),(108,1),(109,1),(136,1),(140,1),(142,1)}
       128:{3,4,6}:{(109,1),(110,1),(137,1)}
       129:{2,4,5,7}:{(111,1),(112,1),(136,1),(143,1)}
       130:{3,4,5,6}:{(112,1),(113,1),(137,1),(143,1)}
       131:{1,4,6,7}:{(114,1),(115,1),(144,1)}
       132:{3,4,5,7}:{(115,1),(116,1),(121,1),(144,1),(145,1)}
       133:{2,4,5,6}:{(116,1),(117,1),(145,1)}
       134:{1,2,4,6,7}:{(118,1),(119,1),(120,1),(124,1),(146,1),(150,1)}
       135:{1,3,5,7}:{(119,1),(121,1),(144,1),(146,1),(147,1)}
       136:{2,3,5,7}:{(120,1),(121,1),(129,1),(146,1),(148,1)}
       137:{3,5,6}:{(121,1),(122,1),(128,1)}
       138:{1,2,3,4,7}:{(123,1),(124,1),(149,1)}
       139:{1,2,3,5}:{(123,1),(125,1)}
       140:{1,2,4,5,7}:{(124,1),(125,1),(126,1),(127,1),(146,1),(149,1),(150,1)}
       141:{1,3,4,6}:{(126,1),(128,1),(147,1),(150,1)}
       142:{2,3,4,6}:{(127,1),(128,1),(148,1),(150,1)}
       143:{2,4,5,6}:{(129,1),(130,1),(148,1)}
       144:{1,4,5,7}:{(131,1),(132,1),(135,1),(151,1)}
       145:{3,4,5,6}:{(132,1),(133,1),(137,1),(151,1)}
       146:{1,2,5,7}:{(134,1),(135,1),(136,1),(152,1)}
       147:{1,3,5,6}:{(135,1),(137,1),(141,1),(151,1),(152,1)}
       148:{2,3,5,6}:{(136,1),(137,1),(142,1),(143,1),(152,1)}
       149:{1,2,3,5,7}:{(138,1),(139,1),(140,1),(153,1)}
       150:{1,2,4,6}:{(140,1),(141,1),(142,1),(152,1),(153,1)}
       151:{1,4,5,6}:{(144,1),(145,1),(147,1)}
       152:{1,2,5,6}:{(146,1),(147,1),(148,1),(150,1)}
       153:{1,2,3,6}:{(149,1),(150,1)}

2255 :  0:{1,2,3,4,6,7}:{(1,1),(4,1),(6,1),(17,1),(21,1),(41,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(32,1),(51,1)}
        2:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,5,6}:{(1,1),(6,1),(17,1),(20,1),(40,1)}
        4:{1,2,3,4,7}:{(8,1),(9,1),(47,1)}
        5:{3,4,5,7}:{(2,1),(12,1),(32,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(12,1)}
        7:{1,2,3,5,6,7}:{(3,1),(14,1),(27,1),(32,1),(51,1),(52,1),(53,1)}
        8:{1,2,3,4,6}:{(4,1),(15,1),(17,1),(35,1)}
        9:{1,2,3,5,7}:{(4,1),(15,1),(16,1),(17,1)}
       10:{1,3,4,5,7}:{(5,1),(16,1),(18,1),(34,1),(42,1),(55,1)}
       11:{2,3,4,5,7}:{(5,1),(16,1),(19,1),(34,1),(43,1),(55,1)}
       12:{3,4,6}:{(5,1),(6,1),(20,1)}
       13:{1,2,4,5,6}:{(6,1),(20,1),(22,1),(37,1),(38,1),(40,1)}
       14:{1,2,4,6,7}:{(6,1),(7,1),(21,1),(22,1),(57,1),(58,1)}
       15:{1,2,3,5}:{(8,1),(23,1)}
       16:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(47,1),(51,1)}
       17:{1,2,3,6}:{(9,1),(26,1)}
       18:{1,3,4,6}:{(10,1),(12,1),(26,1),(28,1),(45,1)}
       19:{2,3,4,6}:{(11,1),(12,1),(26,1),(30,1),(45,1)}
       20:{3,5,6}:{(12,1),(13,1),(32,1)}
       21:{3,4,6,7}:{(12,1),(14,1),(32,1)}
       22:{1,2,4,5,7}:{(13,1),(14,1),(32,1),(48,1),(49,1),(51,1)}
       23:{1,2,4,5}:{(15,1),(34,1),(35,1)}
       24:{1,2,3,5,6}:{(15,1),(17,1),(35,1),(36,1),(40,1),(54,1)}
       25:{3,4,5,6}:{(20,1),(37,1),(38,1),(39,1),(54,1)}
       26:{1,2,4,6}:{(16,1),(17,1),(18,1),(19,1),(40,1)}
       27:{1,2,3,6,7}:{(17,1),(36,1),(41,1),(62,1)}
       28:{1,3,5,6}:{(18,1),(20,1),(37,1),(40,1),(42,1),(54,1)}
       29:{1,3,4,6,7}:{(18,1),(21,1),(41,1),(42,1),(55,1),(57,1),(62,1)}
       30:{2,3,5,6}:{(19,1),(20,1),(38,1),(40,1),(43,1),(54,1)}
       31:{2,3,4,6,7}:{(19,1),(21,1),(41,1),(43,1),(55,1),(58,1),(62,1)}
       32:{3,5,7}:{(20,1),(21,1),(22,1)}
       33:{1,2,4,5,6,7}:{(22,1),(44,1),(57,1),(58,1),(59,1)}
       34:{3,4,5}:{(23,1),(45,1)}
       35:{1,2,4,6}:{(23,1),(24,1),(45,1),(47,1)}
       36:{1,2,3,5,7}:{(24,1),(27,1),(47,1),(51,1),(60,1)}
       37:{1,4,5,6}:{(25,1),(28,1),(48,1)}
       38:{2,4,5,6}:{(25,1),(30,1),(49,1)}
       39:{3,4,5,7}:{(25,1),(32,1),(48,1),(49,1),(50,1),(60,1)}
       40:{1,2,5,6}:{(26,1),(28,1),(30,1),(51,1)}
       41:{1,2,4,6,7}:{(26,1),(27,1),(29,1),(31,1),(47,1),(51,1)}
       42:{1,3,5,7}:{(28,1),(29,1),(32,1),(48,1),(51,1),(60,1)}
       43:{2,3,5,7}:{(30,1),(31,1),(32,1),(49,1),(51,1),(60,1)}
       44:{3,5,6,7}:{(32,1),(33,1),(50,1)}
       45:{3,4,6}:{(34,1),(35,1),(54,1),(55,1)}
       46:{1,2,4,5,6}:{(35,1),(37,1),(38,1),(40,1),(54,1),(56,1)}
       47:{1,2,4,7}:{(35,1),(36,1),(55,1)}
       48:{1,4,5,7}:{(37,1),(39,1),(42,1),(57,1)}
       49:{2,4,5,7}:{(38,1),(39,1),(43,1),(58,1)}
       50:{3,4,6,7}:{(39,1),(44,1),(57,1),(58,1),(62,1)}
       51:{1,2,5,7}:{(40,1),(41,1),(42,1),(43,1)}
       52:{1,3,5,6,7}:{(42,1),(44,1),(57,1),(59,1),(62,1)}
       53:{2,3,5,6,7}:{(43,1),(44,1),(58,1),(59,1),(62,1)}
       54:{3,5,6}:{(45,1),(46,1),(60,1)}
       55:{3,4,7}:{(45,1),(47,1),(60,1)}
       56:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(49,1),(51,1),(60,1),(61,1)}
       57:{1,4,6,7}:{(48,1),(50,1),(52,1)}
       58:{2,4,6,7}:{(49,1),(50,1),(53,1)}
       59:{1,2,5,6,7}:{(51,1),(52,1),(53,1),(61,1)}
       60:{3,5,7}:{(54,1),(55,1),(56,1),(62,1)}
       61:{1,2,4,6,7}:{(56,1),(57,1),(58,1),(59,1),(62,1)}
       62:{3,6,7}:{(60,1),(61,1)}

2256 :   0:{2,3,4,5,6}:{(2,1),(3,1),(41,1),(67,1),(94,1)}
         1:{3,4,5,6,7}:{(5,1),(6,1),(24,1),(98,1)}
         2:{2,3,4,5,7}:{(0,1),(7,1),(8,1),(51,1),(54,1),(83,1)}
         3:{1,2,4,5,6}:{(0,1),(8,1),(9,1),(28,1),(82,1),(84,1)}
         4:{1,3,4,5,6}:{(10,1),(11,1),(62,1),(67,1),(102,1)}
         5:{1,4,5,6,7}:{(1,1),(12,1),(101,1)}
         6:{2,4,5,6,7}:{(1,1),(13,1),(93,1)}
         7:{2,3,4,6,7}:{(2,1),(13,1),(15,1),(36,1)}
         8:{1,2,4,5,7}:{(2,1),(3,1),(15,1),(16,1),(39,1),(66,1),(69,1)}
         9:{1,3,5,6}:{(3,1),(16,1),(18,1)}
        10:{1,3,4,5,7}:{(4,1),(19,1),(20,1),(51,1),(75,1),(95,1)}
        11:{1,2,4,5,6}:{(4,1),(20,1),(21,1),(46,1),(81,1),(96,1)}
        12:{1,3,5,6,7}:{(5,1),(19,1),(22,1),(24,1),(95,1)}
        13:{2,3,5,6,7}:{(6,1),(7,1),(23,1),(24,1),(83,1)}
        14:{1,2,4,5,6,7}:{(5,1),(6,1),(22,1),(23,1),(24,1),(49,1),(50,1),(80,1)}
        15:{1,2,4,6,7}:{(7,1),(8,1),(23,1),(25,1),(50,1)}
        16:{1,3,5,7}:{(8,1),(9,1),(25,1),(27,1)}
        17:{1,2,3,5,6}:{(9,1),(26,1),(28,1),(57,1),(84,1),(85,1)}
        18:{1,3,4,6}:{(9,1),(27,1),(28,1),(29,1)}
        19:{1,3,4,6,7}:{(10,1),(12,1),(30,1),(36,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(30,1),(31,1),(60,1),(65,1),(87,1)}
        21:{2,3,5,6}:{(11,1),(31,1),(33,1)}
        22:{1,2,5,6,7}:{(12,1),(30,1),(34,1),(87,1)}
        23:{1,2,5,6,7}:{(13,1),(15,1),(35,1),(69,1)}
        24:{3,5,6,7}:{(14,1),(36,1),(91,1)}
        25:{1,3,6,7}:{(15,1),(16,1)}
        26:{1,2,3,5,7}:{(16,1),(17,1),(37,1),(39,1),(69,1),(71,1)}
        27:{1,3,4,7}:{(16,1),(18,1),(39,1)}
        28:{1,2,4,6}:{(17,1),(18,1),(39,1),(41,1),(42,1)}
        29:{1,3,4,5}:{(18,1),(42,1)}
        30:{1,2,4,6,7}:{(19,1),(20,1),(22,1),(43,1),(49,1)}
        31:{2,3,5,7}:{(20,1),(21,1),(43,1),(45,1)}
        32:{1,2,3,5,6}:{(21,1),(44,1),(46,1),(78,1),(96,1),(97,1)}
        33:{2,3,4,6}:{(21,1),(45,1),(46,1),(47,1)}
        34:{2,3,5,6,7}:{(22,1),(24,1),(43,1),(49,1),(74,1)}
        35:{1,3,5,6,7}:{(23,1),(24,1),(25,1),(50,1),(53,1)}
        36:{3,4,6,7}:{(24,1),(49,1),(50,1),(51,1)}
        37:{1,2,3,6,7}:{(25,1),(26,1),(52,1),(85,1)}
        38:{1,3,4,6,7}:{(25,1),(27,1),(50,1),(52,1),(53,1),(56,1),(79,1)}
        39:{1,2,4,7}:{(26,1),(27,1),(28,1),(54,1)}
        40:{1,3,4,5,7}:{(27,1),(29,1),(53,1),(55,1),(56,1),(98,1)}
        41:{2,3,4,6}:{(28,1),(54,1),(57,1),(85,1)}
        42:{1,2,4,5}:{(28,1),(29,1),(57,1)}
        43:{2,3,6,7}:{(30,1),(31,1)}
        44:{1,2,3,5,7}:{(31,1),(32,1),(58,1),(60,1),(87,1),(89,1)}
        45:{2,3,4,7}:{(31,1),(33,1),(60,1)}
        46:{1,2,4,6}:{(32,1),(33,1),(60,1),(62,1),(63,1)}
        47:{2,3,4,5}:{(33,1),(63,1)}
        48:{1,2,3,5,6,7}:{(34,1),(35,1),(37,1),(58,1),(64,1),(69,1),(87,1),(91,1),(94,1),(102,1)}
        49:{2,4,6,7}:{(34,1),(36,1),(65,1)}
        50:{1,4,6,7}:{(35,1),(36,1),(66,1)}
        51:{3,4,5,7}:{(36,1),(65,1),(66,1),(67,1),(91,1)}
        52:{1,2,4,6,7}:{(37,1),(38,1),(39,1),(68,1),(69,1),(72,1)}
        53:{1,3,5,7}:{(38,1),(66,1),(69,1),(70,1),(91,1)}
        54:{2,3,4,7}:{(39,1),(41,1),(71,1)}
        55:{1,2,4,5,7}:{(39,1),(40,1),(42,1),(69,1),(71,1),(72,1),(93,1)}
        56:{1,3,4,6}:{(40,1),(70,1),(72,1),(103,1)}
        57:{2,3,5}:{(41,1),(42,1)}
        58:{1,2,3,6,7}:{(43,1),(44,1),(73,1),(97,1)}
        59:{2,3,4,6,7}:{(43,1),(45,1),(49,1),(73,1),(74,1),(77,1),(79,1)}
        60:{1,2,4,7}:{(44,1),(45,1),(46,1),(75,1)}
        61:{2,3,4,5,7}:{(45,1),(47,1),(74,1),(76,1),(77,1),(98,1)}
        62:{1,3,4,6}:{(46,1),(75,1),(78,1),(97,1)}
        63:{1,2,4,5}:{(46,1),(47,1),(78,1)}
        64:{1,2,4,6,7}:{(48,1),(49,1),(50,1),(79,1),(80,1),(100,1),(104,1)}
        65:{2,4,5,7}:{(49,1),(51,1),(74,1),(81,1)}
        66:{1,4,5,7}:{(50,1),(51,1),(53,1),(82,1)}
        67:{3,4,5,6}:{(51,1),(81,1),(82,1),(99,1)}
        68:{2,3,4,6,7}:{(52,1),(54,1),(79,1),(83,1),(85,1),(100,1)}
        69:{1,2,5,7}:{(52,1),(53,1),(83,1),(84,1)}
        70:{1,3,5,6}:{(53,1),(56,1),(82,1),(84,1),(99,1)}
        71:{2,3,5,7}:{(54,1),(55,1),(57,1),(85,1)}
        72:{1,2,4,6}:{(55,1),(56,1),(84,1),(85,1),(100,1)}
        73:{1,2,4,6,7}:{(58,1),(59,1),(60,1),(86,1),(87,1),(90,1)}
        74:{2,3,5,7}:{(59,1),(65,1),(87,1),(88,1),(91,1)}
        75:{1,3,4,7}:{(60,1),(62,1),(89,1)}
        76:{1,2,4,5,7}:{(60,1),(61,1),(63,1),(87,1),(89,1),(90,1),(101,1)}
        77:{2,3,4,6}:{(61,1),(88,1),(90,1),(103,1)}
        78:{1,3,5}:{(62,1),(63,1)}
        79:{3,4,6,7}:{(64,1),(91,1),(103,1)}
        80:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(69,1),(87,1),(91,1),(92,1),(93,1),(101,1)}
        81:{2,4,5,6}:{(65,1),(67,1),(88,1)}
        82:{1,4,5,6}:{(66,1),(67,1),(70,1)}
        83:{2,3,5,7}:{(68,1),(69,1),(91,1),(93,1),(94,1)}
        84:{1,2,5,6}:{(69,1),(70,1),(72,1),(94,1)}
        85:{2,3,6}:{(71,1),(72,1)}
        86:{1,3,4,6,7}:{(73,1),(75,1),(79,1),(95,1),(97,1),(104,1)}
        87:{1,2,5,7}:{(73,1),(74,1),(95,1),(96,1)}
        88:{2,3,5,6}:{(74,1),(77,1),(81,1),(96,1),(99,1)}
        89:{1,3,5,7}:{(75,1),(76,1),(78,1),(97,1)}
        90:{1,2,4,6}:{(76,1),(77,1),(96,1),(97,1),(104,1)}
        91:{3,5,7}:{(79,1),(80,1),(99,1)}
        92:{1,2,4,5,6}:{(80,1),(81,1),(82,1),(84,1),(96,1),(99,1),(100,1),(104,1)}
        93:{2,4,5,7}:{(83,1),(98,1),(100,1)}
        94:{2,3,5,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        95:{1,3,5,7}:{(86,1),(87,1),(91,1),(101,1),(102,1)}
        96:{1,2,5,6}:{(87,1),(88,1),(90,1),(102,1)}
        97:{1,3,6}:{(89,1),(90,1)}
        98:{3,4,5,7}:{(91,1),(93,1),(101,1),(103,1)}
        99:{3,5,6}:{(91,1),(92,1),(103,1)}
       100:{2,4,6}:{(93,1),(94,1),(103,1)}
       101:{1,4,5,7}:{(95,1),(98,1),(104,1)}
       102:{1,3,5,6}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       103:{3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       104:{1,4,6}:{(101,1),(102,1),(103,1)}

2257 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(34,1),(35,1),(36,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(20,1),(43,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(33,1),(35,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(8,1),(20,1),(41,1),(42,1),(43,1),(45,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
        6:{3,4,5,7}:{(3,1),(9,1),(20,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(28,1),(29,1),(33,1)}
        8:{1,2,4,6,7}:{(4,1),(5,1),(12,1),(14,1),(47,1),(48,1)}
        9:{3,4,6}:{(5,1),(6,1),(13,1)}
       10:{1,3,4,5,7}:{(6,1),(15,1),(17,1),(31,1),(61,1),(62,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(17,1),(32,1),(61,1),(62,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(20,1),(38,1),(39,1),(43,1)}
       13:{3,5,6}:{(7,1),(9,1),(20,1)}
       14:{3,4,6,7}:{(8,1),(9,1),(20,1)}
       15:{1,3,4,6}:{(9,1),(10,1),(21,1),(25,1),(57,1)}
       16:{2,3,4,6}:{(9,1),(11,1),(22,1),(25,1),(57,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(25,1),(26,1),(43,1),(58,1),(59,1)}
       18:{3,4,5,6}:{(13,1),(27,1),(28,1),(29,1),(50,1)}
       19:{1,2,4,5,6,7}:{(12,1),(30,1),(47,1),(48,1),(51,1)}
       20:{3,5,7}:{(12,1),(13,1),(14,1)}
       21:{1,3,5,6}:{(13,1),(15,1),(28,1),(31,1),(33,1),(50,1)}
       22:{2,3,5,6}:{(13,1),(16,1),(29,1),(32,1),(33,1),(50,1)}
       23:{1,3,4,6,7}:{(14,1),(15,1),(31,1),(34,1),(47,1),(60,1),(61,1)}
       24:{2,3,4,6,7}:{(14,1),(16,1),(32,1),(34,1),(48,1),(60,1),(61,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(17,1),(33,1),(35,1)}
       26:{1,2,3,5,7}:{(17,1),(35,1),(36,1),(54,1)}
       27:{3,4,5,7}:{(18,1),(20,1),(37,1),(38,1),(39,1),(56,1)}
       28:{1,4,5,6}:{(18,1),(21,1),(38,1)}
       29:{2,4,5,6}:{(18,1),(22,1),(39,1)}
       30:{3,5,6,7}:{(19,1),(20,1),(37,1)}
       31:{1,3,5,7}:{(20,1),(21,1),(23,1),(38,1),(43,1),(56,1)}
       32:{2,3,5,7}:{(20,1),(22,1),(24,1),(39,1),(43,1),(56,1)}
       33:{1,2,5,6}:{(21,1),(22,1),(25,1),(43,1)}
       34:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(43,1),(45,1),(58,1)}
       35:{1,2,3,6}:{(25,1),(26,1)}
       36:{1,2,3,4,7}:{(26,1),(46,1),(58,1)}
       37:{3,4,6,7}:{(27,1),(30,1),(47,1),(48,1),(60,1)}
       38:{1,4,5,7}:{(27,1),(28,1),(31,1),(47,1)}
       39:{2,4,5,7}:{(27,1),(29,1),(32,1),(48,1)}
       40:{1,2,4,5,6}:{(28,1),(29,1),(33,1),(49,1),(50,1),(53,1)}
       41:{1,3,5,6,7}:{(30,1),(31,1),(47,1),(51,1),(60,1)}
       42:{2,3,5,6,7}:{(30,1),(32,1),(48,1),(51,1),(60,1)}
       43:{1,2,5,7}:{(31,1),(32,1),(33,1),(34,1)}
       44:{1,2,3,5,6}:{(33,1),(35,1),(50,1),(52,1),(53,1),(54,1)}
       45:{1,2,3,6,7}:{(34,1),(35,1),(52,1),(60,1)}
       46:{1,2,3,4,6}:{(35,1),(36,1),(53,1),(54,1)}
       47:{1,4,6,7}:{(37,1),(38,1),(41,1)}
       48:{2,4,6,7}:{(37,1),(39,1),(42,1)}
       49:{1,2,4,5,7}:{(38,1),(39,1),(40,1),(43,1),(55,1),(56,1),(58,1)}
       50:{3,5,6}:{(40,1),(56,1),(57,1)}
       51:{1,2,5,6,7}:{(41,1),(42,1),(43,1),(55,1)}
       52:{1,2,3,5,7}:{(43,1),(44,1),(45,1),(56,1),(58,1)}
       53:{1,2,4,6}:{(44,1),(57,1),(58,1),(59,1)}
       54:{1,2,3,5}:{(46,1),(59,1)}
       55:{1,2,4,6,7}:{(47,1),(48,1),(49,1),(51,1),(60,1)}
       56:{3,5,7}:{(49,1),(50,1),(60,1),(61,1)}
       57:{3,4,6}:{(50,1),(53,1),(61,1),(62,1)}
       58:{1,2,4,7}:{(52,1),(53,1),(61,1)}
       59:{1,2,4,5}:{(53,1),(54,1),(62,1)}
       60:{3,6,7}:{(55,1),(56,1)}
       61:{3,4,7}:{(56,1),(57,1),(58,1)}
       62:{3,4,5}:{(57,1),(59,1)}

2258 :   0:{3,4,5,6,7}:{(1,1),(2,1),(16,1),(94,1)}
         1:{1,4,5,6,7}:{(0,1),(6,1),(100,1)}
         2:{2,4,5,6,7}:{(0,1),(5,1),(98,1)}
         3:{2,3,4,5,6}:{(8,1),(9,1),(53,1),(54,1),(99,1)}
         4:{1,3,4,5,6}:{(10,1),(11,1),(53,1),(58,1),(101,1)}
         5:{2,3,5,6,7}:{(2,1),(12,1),(14,1),(16,1),(90,1)}
         6:{1,3,5,6,7}:{(1,1),(13,1),(15,1),(16,1),(92,1)}
         7:{1,2,4,5,6,7}:{(1,1),(2,1),(14,1),(15,1),(16,1),(35,1),(36,1),(67,1)}
         8:{2,3,4,5,7}:{(3,1),(12,1),(17,1),(37,1),(70,1),(90,1)}
         9:{1,2,4,5,6}:{(3,1),(17,1),(18,1),(39,1),(68,1),(91,1)}
        10:{1,3,4,5,7}:{(4,1),(13,1),(19,1),(37,1),(74,1),(92,1)}
        11:{1,2,4,5,6}:{(4,1),(19,1),(20,1),(43,1),(69,1),(93,1)}
        12:{2,3,4,6,7}:{(5,1),(8,1),(21,1),(25,1)}
        13:{1,3,4,6,7}:{(6,1),(10,1),(22,1),(25,1)}
        14:{1,2,5,6,7}:{(5,1),(21,1),(23,1),(79,1)}
        15:{1,2,5,6,7}:{(6,1),(22,1),(24,1),(82,1)}
        16:{3,5,6,7}:{(7,1),(25,1),(84,1)}
        17:{1,2,4,5,7}:{(8,1),(9,1),(21,1),(27,1),(51,1),(55,1),(79,1)}
        18:{1,3,5,6}:{(9,1),(27,1),(28,1)}
        19:{1,2,4,5,7}:{(10,1),(11,1),(22,1),(30,1),(52,1),(59,1),(82,1)}
        20:{2,3,5,6}:{(11,1),(30,1),(31,1)}
        21:{1,2,4,6,7}:{(12,1),(14,1),(17,1),(32,1),(35,1)}
        22:{1,2,4,6,7}:{(13,1),(15,1),(19,1),(33,1),(36,1)}
        23:{1,3,5,6,7}:{(14,1),(16,1),(32,1),(35,1),(63,1)}
        24:{2,3,5,6,7}:{(15,1),(16,1),(33,1),(36,1),(65,1)}
        25:{3,4,6,7}:{(16,1),(35,1),(36,1),(37,1)}
        26:{1,2,3,5,6}:{(18,1),(38,1),(39,1),(71,1),(91,1),(96,1)}
        27:{1,3,5,7}:{(17,1),(18,1),(32,1),(40,1)}
        28:{1,3,4,6}:{(18,1),(39,1),(40,1),(41,1)}
        29:{1,2,3,5,6}:{(20,1),(42,1),(43,1),(75,1),(93,1),(97,1)}
        30:{2,3,5,7}:{(19,1),(20,1),(33,1),(44,1)}
        31:{2,3,4,6}:{(20,1),(43,1),(44,1),(45,1)}
        32:{1,3,6,7}:{(21,1),(27,1)}
        33:{2,3,6,7}:{(22,1),(30,1)}
        34:{1,2,3,5,6,7}:{(23,1),(24,1),(46,1),(48,1),(50,1),(79,1),(82,1),(84,1),(99,1),(101,1)}
        35:{1,4,6,7}:{(23,1),(25,1),(51,1)}
        36:{2,4,6,7}:{(24,1),(25,1),(52,1)}
        37:{3,4,5,7}:{(25,1),(51,1),(52,1),(53,1),(84,1)}
        38:{1,2,3,5,7}:{(26,1),(27,1),(46,1),(55,1),(79,1),(86,1)}
        39:{1,2,4,6}:{(26,1),(28,1),(54,1),(55,1),(56,1)}
        40:{1,3,4,7}:{(27,1),(28,1),(55,1)}
        41:{1,3,4,5}:{(28,1),(56,1)}
        42:{1,2,3,5,7}:{(29,1),(30,1),(48,1),(59,1),(82,1),(88,1)}
        43:{1,2,4,6}:{(29,1),(31,1),(58,1),(59,1),(60,1)}
        44:{2,3,4,7}:{(30,1),(31,1),(59,1)}
        45:{2,3,4,5}:{(31,1),(60,1)}
        46:{1,2,3,6,7}:{(32,1),(38,1),(62,1),(96,1)}
        47:{1,3,4,6,7}:{(32,1),(35,1),(40,1),(62,1),(63,1),(66,1),(73,1)}
        48:{1,2,3,6,7}:{(33,1),(42,1),(64,1),(97,1)}
        49:{2,3,4,6,7}:{(33,1),(36,1),(44,1),(64,1),(65,1),(66,1),(77,1)}
        50:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(66,1),(67,1),(103,1),(104,1)}
        51:{1,4,5,7}:{(35,1),(37,1),(63,1),(68,1)}
        52:{2,4,5,7}:{(36,1),(37,1),(65,1),(69,1)}
        53:{3,4,5,6}:{(37,1),(68,1),(69,1),(95,1)}
        54:{2,3,4,6}:{(39,1),(70,1),(71,1),(96,1)}
        55:{1,2,4,7}:{(38,1),(39,1),(40,1),(70,1)}
        56:{1,2,4,5}:{(39,1),(41,1),(71,1)}
        57:{1,3,4,5,7}:{(40,1),(41,1),(63,1),(72,1),(73,1),(94,1)}
        58:{1,3,4,6}:{(43,1),(74,1),(75,1),(97,1)}
        59:{1,2,4,7}:{(42,1),(43,1),(44,1),(74,1)}
        60:{1,2,4,5}:{(43,1),(45,1),(75,1)}
        61:{2,3,4,5,7}:{(44,1),(45,1),(65,1),(76,1),(77,1),(94,1)}
        62:{1,2,4,6,7}:{(46,1),(47,1),(55,1),(78,1),(79,1),(87,1)}
        63:{1,3,5,7}:{(47,1),(51,1),(79,1),(80,1),(84,1)}
        64:{1,2,4,6,7}:{(48,1),(49,1),(59,1),(81,1),(82,1),(89,1)}
        65:{2,3,5,7}:{(49,1),(52,1),(82,1),(83,1),(84,1)}
        66:{3,4,6,7}:{(50,1),(84,1),(102,1)}
        67:{1,2,4,5,7}:{(50,1),(51,1),(52,1),(79,1),(82,1),(84,1),(85,1),(98,1),(100,1)}
        68:{1,4,5,6}:{(51,1),(53,1),(80,1)}
        69:{2,4,5,6}:{(52,1),(53,1),(83,1)}
        70:{2,3,4,7}:{(54,1),(55,1),(86,1)}
        71:{2,3,5}:{(54,1),(56,1)}
        72:{1,2,4,5,7}:{(55,1),(56,1),(57,1),(79,1),(86,1),(87,1),(98,1)}
        73:{1,3,4,6}:{(57,1),(80,1),(87,1),(102,1)}
        74:{1,3,4,7}:{(58,1),(59,1),(88,1)}
        75:{1,3,5}:{(58,1),(60,1)}
        76:{1,2,4,5,7}:{(59,1),(60,1),(61,1),(82,1),(88,1),(89,1),(100,1)}
        77:{2,3,4,6}:{(61,1),(83,1),(89,1),(102,1)}
        78:{2,3,4,6,7}:{(62,1),(66,1),(70,1),(90,1),(96,1),(103,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(90,1),(91,1)}
        80:{1,3,5,6}:{(63,1),(68,1),(73,1),(91,1),(95,1)}
        81:{1,3,4,6,7}:{(64,1),(66,1),(74,1),(92,1),(97,1),(104,1)}
        82:{1,2,5,7}:{(64,1),(65,1),(92,1),(93,1)}
        83:{2,3,5,6}:{(65,1),(69,1),(77,1),(93,1),(95,1)}
        84:{3,5,7}:{(66,1),(67,1),(95,1)}
        85:{1,2,4,5,6}:{(67,1),(68,1),(69,1),(91,1),(93,1),(95,1),(103,1),(104,1)}
        86:{2,3,5,7}:{(70,1),(71,1),(72,1),(96,1)}
        87:{1,2,4,6}:{(72,1),(73,1),(91,1),(96,1),(103,1)}
        88:{1,3,5,7}:{(74,1),(75,1),(76,1),(97,1)}
        89:{1,2,4,6}:{(76,1),(77,1),(93,1),(97,1),(104,1)}
        90:{2,3,5,7}:{(78,1),(79,1),(84,1),(98,1),(99,1)}
        91:{1,2,5,6}:{(79,1),(80,1),(87,1),(99,1)}
        92:{1,3,5,7}:{(81,1),(82,1),(84,1),(100,1),(101,1)}
        93:{1,2,5,6}:{(82,1),(83,1),(89,1),(101,1)}
        94:{3,4,5,7}:{(84,1),(98,1),(100,1),(102,1)}
        95:{3,5,6}:{(84,1),(85,1),(102,1)}
        96:{2,3,6}:{(86,1),(87,1)}
        97:{1,3,6}:{(88,1),(89,1)}
        98:{2,4,5,7}:{(90,1),(94,1),(103,1)}
        99:{2,3,5,6}:{(90,1),(91,1),(95,1),(96,1),(103,1)}
       100:{1,4,5,7}:{(92,1),(94,1),(104,1)}
       101:{1,3,5,6}:{(92,1),(93,1),(95,1),(97,1),(104,1)}
       102:{3,4,6}:{(94,1),(95,1),(103,1),(104,1)}
       103:{2,4,6}:{(98,1),(99,1),(102,1)}
       104:{1,4,6}:{(100,1),(101,1),(102,1)}

2259 :  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:{3,4,5,6}:{(4,1),(9,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,2,3,6,7}:{(5,1),(10,1)}
        9:{3,4,5,7}:{(6,1),(7,1),(11,1)}
       10:{1,2,4,6,7}:{(7,1),(8,1),(11,1),(12,1)}
       11:{3,4,6,7}:{(9,1),(10,1),(13,1)}
       12:{1,2,5,6,7}:{(10,1),(13,1)}
       13:{3,5,6,7}:{(11,1),(12,1),(14,1)}
       14:{4,5,6,7}:{(13,1)}

2260 :  0:{1,2,3,4,7}:{(1,1),(2,1),(33,1),(58,1)}
        1:{1,2,3,4,6}:{(0,1),(5,1),(7,1),(18,1),(20,1),(42,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        3:{1,3,4,5,7}:{(6,1),(8,1),(19,1),(25,1),(46,1)}
        4:{2,3,4,5,7}:{(6,1),(9,1),(19,1),(27,1),(46,1)}
        5:{1,2,3,5}:{(1,1),(10,1)}
        6:{1,2,4,5,7}:{(2,1),(3,1),(4,1),(10,1),(12,1),(33,1),(34,1)}
        7:{1,2,3,6}:{(2,1),(12,1)}
        8:{1,3,4,6}:{(3,1),(12,1),(14,1),(31,1)}
        9:{2,3,4,6}:{(4,1),(12,1),(16,1),(31,1)}
       10:{1,2,4,5}:{(5,1),(19,1),(20,1)}
       11:{1,2,3,5,6}:{(5,1),(7,1),(20,1),(21,1),(22,1),(42,1),(45,1),(71,1)}
       12:{1,2,4,6}:{(6,1),(7,1),(8,1),(9,1),(22,1)}
       13:{1,2,3,6,7}:{(7,1),(21,1),(23,1),(75,1),(83,1)}
       14:{1,3,5,6}:{(8,1),(22,1),(24,1),(25,1),(45,1)}
       15:{1,3,4,6,7}:{(8,1),(23,1),(25,1),(46,1),(51,1),(75,1)}
       16:{2,3,5,6}:{(9,1),(22,1),(26,1),(27,1),(45,1)}
       17:{2,3,4,6,7}:{(9,1),(23,1),(27,1),(46,1),(54,1),(75,1)}
       18:{1,2,3,4}:{(28,1)}
       19:{3,4,5}:{(10,1),(31,1)}
       20:{1,2,4,6}:{(10,1),(11,1),(31,1),(33,1)}
       21:{1,2,3,5,7}:{(11,1),(13,1),(33,1),(34,1),(58,1),(63,1),(80,1)}
       22:{1,2,5,6}:{(12,1),(14,1),(16,1),(34,1)}
       23:{1,2,4,6,7}:{(12,1),(13,1),(15,1),(17,1),(33,1),(34,1)}
       24:{1,4,5,6}:{(14,1),(35,1),(36,1)}
       25:{1,3,5,7}:{(14,1),(15,1),(34,1),(36,1),(63,1)}
       26:{2,4,5,6}:{(16,1),(38,1),(39,1)}
       27:{2,3,5,7}:{(16,1),(17,1),(34,1),(39,1),(63,1)}
       28:{1,2,3,5}:{(18,1),(41,1),(42,1)}
       29:{1,3,4,5}:{(19,1),(41,1),(43,1)}
       30:{2,3,4,5}:{(19,1),(41,1),(44,1)}
       31:{3,4,6}:{(19,1),(20,1),(45,1),(46,1)}
       32:{1,2,4,5,6}:{(20,1),(22,1),(24,1),(26,1),(45,1),(47,1),(49,1),(52,1),(71,1)}
       33:{1,2,4,7}:{(20,1),(21,1),(46,1)}
       34:{1,2,5,7}:{(22,1),(23,1),(25,1),(27,1)}
       35:{3,4,5,6}:{(24,1),(45,1),(49,1),(50,1)}
       36:{1,4,5,7}:{(24,1),(25,1),(50,1),(51,1)}
       37:{1,3,5,6,7}:{(25,1),(48,1),(51,1),(69,1),(75,1)}
       38:{3,4,5,6}:{(26,1),(45,1),(52,1),(53,1)}
       39:{2,4,5,7}:{(26,1),(27,1),(53,1),(54,1)}
       40:{2,3,5,6,7}:{(27,1),(48,1),(54,1),(70,1),(75,1)}
       41:{1,2,4,5}:{(28,1),(29,1),(30,1),(57,1)}
       42:{1,2,3,6}:{(28,1),(57,1),(58,1)}
       43:{1,3,4,6}:{(29,1),(31,1),(57,1),(59,1),(60,1)}
       44:{2,3,4,6}:{(30,1),(31,1),(57,1),(61,1),(62,1)}
       45:{3,5,6}:{(31,1),(32,1),(63,1)}
       46:{3,4,7}:{(31,1),(33,1),(63,1)}
       47:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(36,1),(39,1),(63,1),(64,1),(65,1),(67,1),(80,1)}
       48:{1,2,5,6,7}:{(34,1),(37,1),(40,1),(64,1),(78,1),(79,1)}
       49:{2,4,5,6}:{(35,1),(61,1),(65,1)}
       50:{3,4,5,7}:{(35,1),(36,1),(63,1),(65,1),(66,1)}
       51:{1,4,6,7}:{(36,1),(37,1),(66,1)}
       52:{1,4,5,6}:{(38,1),(59,1),(67,1)}
       53:{3,4,5,7}:{(38,1),(39,1),(63,1),(67,1),(68,1)}
       54:{2,4,6,7}:{(39,1),(40,1),(68,1)}
       55:{1,4,5,6,7}:{(51,1),(69,1)}
       56:{2,4,5,6,7}:{(54,1),(70,1)}
       57:{1,2,4,6}:{(41,1),(42,1),(43,1),(44,1),(71,1),(72,1)}
       58:{1,2,3,7}:{(42,1),(72,1)}
       59:{1,3,5,6}:{(43,1),(45,1),(52,1),(71,1),(73,1)}
       60:{1,3,4,7}:{(43,1),(46,1),(72,1),(73,1)}
       61:{2,3,5,6}:{(44,1),(45,1),(49,1),(71,1),(74,1)}
       62:{2,3,4,7}:{(44,1),(46,1),(72,1),(74,1)}
       63:{3,5,7}:{(45,1),(46,1),(47,1),(75,1)}
       64:{1,2,4,6,7}:{(47,1),(48,1),(51,1),(54,1),(75,1),(76,1),(77,1),(83,1)}
       65:{2,4,5,7}:{(49,1),(50,1),(74,1),(76,1)}
       66:{3,4,6,7}:{(50,1),(51,1),(69,1),(75,1),(76,1)}
       67:{1,4,5,7}:{(52,1),(53,1),(73,1),(77,1)}
       68:{3,4,6,7}:{(53,1),(54,1),(70,1),(75,1),(77,1)}
       69:{3,5,6,7}:{(55,1),(66,1),(78,1)}
       70:{3,5,6,7}:{(56,1),(68,1),(79,1)}
       71:{1,2,5,6}:{(57,1),(59,1),(61,1),(80,1)}
       72:{1,2,4,7}:{(57,1),(58,1),(60,1),(62,1),(80,1)}
       73:{1,3,5,7}:{(59,1),(60,1),(63,1),(67,1),(80,1),(81,1)}
       74:{2,3,5,7}:{(61,1),(62,1),(63,1),(65,1),(80,1),(82,1)}
       75:{3,6,7}:{(63,1),(64,1)}
       76:{2,4,6,7}:{(65,1),(66,1),(78,1),(82,1)}
       77:{1,4,6,7}:{(67,1),(68,1),(79,1),(81,1)}
       78:{2,5,6,7}:{(69,1),(76,1)}
       79:{1,5,6,7}:{(70,1),(77,1)}
       80:{1,2,5,7}:{(71,1),(72,1),(73,1),(74,1),(83,1)}
       81:{1,3,6,7}:{(73,1),(75,1),(77,1),(83,1)}
       82:{2,3,6,7}:{(74,1),(75,1),(76,1),(83,1)}
       83:{1,2,6,7}:{(80,1),(81,1),(82,1)}

2261 :  0:{1,2,3,4,7}:{(1,1),(2,1),(36,1),(41,1)}
        1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(7,1),(21,1),(24,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        3:{1,3,4,5,7}:{(6,1),(8,1),(23,1),(32,1),(55,1)}
        4:{1,2,3,4}:{(9,1)}
        5:{1,2,3,5}:{(1,1),(11,1)}
        6:{1,2,4,5,7}:{(2,1),(3,1),(11,1),(14,1),(15,1),(41,1),(47,1)}
        7:{1,2,3,6}:{(2,1),(15,1)}
        8:{1,3,4,6}:{(3,1),(15,1),(17,1),(39,1)}
        9:{1,2,3,5}:{(4,1),(20,1),(21,1)}
       10:{2,3,4,5}:{(20,1),(22,1),(23,1)}
       11:{1,2,4,5}:{(5,1),(23,1),(24,1)}
       12:{1,2,3,5,6}:{(5,1),(7,1),(21,1),(24,1),(25,1),(30,1),(51,1),(54,1)}
       13:{3,4,5,6}:{(26,1),(27,1),(28,1),(54,1)}
       14:{2,3,4,5,7}:{(6,1),(23,1),(29,1),(55,1),(60,1)}
       15:{1,2,4,6}:{(6,1),(7,1),(8,1),(29,1),(30,1)}
       16:{1,2,3,6,7}:{(7,1),(25,1),(31,1),(73,1),(75,1)}
       17:{1,3,5,6}:{(8,1),(26,1),(30,1),(32,1),(54,1)}
       18:{1,3,4,6,7}:{(8,1),(31,1),(32,1),(55,1),(57,1),(75,1)}
       19:{1,4,5,6,7}:{(33,1),(57,1)}
       20:{1,2,4,5}:{(9,1),(10,1),(34,1),(35,1)}
       21:{1,2,3,6}:{(9,1),(35,1),(36,1)}
       22:{2,3,4,6}:{(10,1),(35,1),(37,1),(38,1),(39,1)}
       23:{3,4,5}:{(11,1),(39,1)}
       24:{1,2,4,6}:{(11,1),(12,1),(39,1),(41,1)}
       25:{1,2,3,5,7}:{(12,1),(16,1),(36,1),(41,1),(47,1),(64,1),(67,1)}
       26:{1,4,5,6}:{(13,1),(17,1),(42,1)}
       27:{2,4,5,6}:{(13,1),(37,1),(43,1)}
       28:{3,4,5,7}:{(13,1),(42,1),(43,1),(44,1),(67,1)}
       29:{2,3,4,6}:{(14,1),(15,1),(39,1),(45,1)}
       30:{1,2,5,6}:{(15,1),(17,1),(45,1),(47,1)}
       31:{1,2,4,6,7}:{(15,1),(16,1),(18,1),(41,1),(46,1),(47,1)}
       32:{1,3,5,7}:{(17,1),(18,1),(42,1),(47,1),(67,1)}
       33:{3,5,6,7}:{(19,1),(44,1),(49,1)}
       34:{1,3,4,5}:{(20,1),(23,1),(50,1)}
       35:{1,2,4,6}:{(20,1),(21,1),(22,1),(50,1),(51,1),(52,1)}
       36:{1,2,3,7}:{(21,1),(52,1)}
       37:{2,3,5,6}:{(22,1),(27,1),(51,1),(53,1),(54,1)}
       38:{2,3,4,7}:{(22,1),(52,1),(53,1),(55,1)}
       39:{3,4,6}:{(23,1),(24,1),(54,1),(55,1)}
       40:{1,2,4,5,6}:{(24,1),(26,1),(27,1),(30,1),(51,1),(54,1),(56,1),(59,1),(71,1)}
       41:{1,2,4,7}:{(24,1),(25,1),(55,1)}
       42:{1,4,5,7}:{(26,1),(28,1),(32,1),(57,1)}
       43:{2,4,5,7}:{(27,1),(28,1),(53,1),(58,1)}
       44:{3,4,6,7}:{(28,1),(33,1),(57,1),(58,1),(75,1)}
       45:{2,3,5,6}:{(29,1),(30,1),(54,1),(59,1),(60,1)}
       46:{2,3,4,6,7}:{(29,1),(31,1),(55,1),(60,1),(75,1),(76,1)}
       47:{1,2,5,7}:{(30,1),(31,1),(32,1),(60,1)}
       48:{1,3,5,6,7}:{(32,1),(33,1),(57,1),(61,1),(75,1)}
       49:{2,5,6,7}:{(33,1),(58,1)}
       50:{1,3,4,6}:{(34,1),(35,1),(39,1),(62,1),(63,1)}
       51:{1,2,5,6}:{(35,1),(37,1),(62,1),(64,1)}
       52:{1,2,4,7}:{(35,1),(36,1),(38,1),(63,1),(64,1)}
       53:{2,3,5,7}:{(37,1),(38,1),(43,1),(64,1),(65,1),(67,1)}
       54:{3,5,6}:{(39,1),(40,1),(67,1)}
       55:{3,4,7}:{(39,1),(41,1),(67,1)}
       56:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(43,1),(47,1),(64,1),(67,1),(68,1),(69,1),(77,1)}
       57:{1,4,6,7}:{(42,1),(44,1),(48,1)}
       58:{2,4,6,7}:{(43,1),(44,1),(49,1),(65,1)}
       59:{2,4,5,6}:{(45,1),(66,1),(69,1)}
       60:{2,3,5,7}:{(45,1),(46,1),(47,1),(67,1),(69,1)}
       61:{1,2,5,6,7}:{(47,1),(48,1),(49,1),(68,1),(70,1),(83,1)}
       62:{1,3,5,6}:{(50,1),(51,1),(54,1),(71,1),(72,1)}
       63:{1,3,4,7}:{(50,1),(52,1),(55,1),(72,1)}
       64:{1,2,5,7}:{(51,1),(52,1),(53,1),(72,1),(73,1)}
       65:{2,3,6,7}:{(53,1),(58,1),(73,1),(75,1)}
       66:{3,4,5,6}:{(54,1),(59,1),(71,1),(74,1)}
       67:{3,5,7}:{(54,1),(55,1),(56,1),(75,1)}
       68:{1,2,4,6,7}:{(56,1),(57,1),(58,1),(61,1),(73,1),(75,1),(76,1),(81,1)}
       69:{2,4,5,7}:{(59,1),(60,1),(74,1),(76,1)}
       70:{2,3,5,6,7}:{(60,1),(61,1),(75,1),(76,1),(82,1)}
       71:{1,4,5,6}:{(62,1),(66,1),(77,1)}
       72:{1,3,5,7}:{(62,1),(63,1),(64,1),(67,1),(77,1),(78,1)}
       73:{1,2,6,7}:{(64,1),(65,1),(78,1)}
       74:{3,4,5,7}:{(66,1),(67,1),(69,1),(77,1),(79,1)}
       75:{3,6,7}:{(67,1),(68,1)}
       76:{2,4,6,7}:{(69,1),(70,1),(79,1)}
       77:{1,4,5,7}:{(71,1),(72,1),(74,1),(81,1)}
       78:{1,3,6,7}:{(72,1),(73,1),(75,1),(81,1)}
       79:{3,4,6,7}:{(74,1),(75,1),(76,1),(81,1),(82,1)}
       80:{2,4,5,6,7}:{(76,1),(82,1)}
       81:{1,4,6,7}:{(77,1),(78,1),(79,1),(83,1)}
       82:{3,5,6,7}:{(79,1),(80,1),(83,1)}
       83:{1,5,6,7}:{(81,1),(82,1)}

2262 :  0:{1,2,3,4,7}:{(1,1),(2,1),(36,1),(41,1)}
        1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(7,1),(21,1),(24,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        3:{2,3,4,5,7}:{(6,1),(8,1),(23,1),(32,1),(55,1)}
        4:{1,2,3,4}:{(9,1)}
        5:{1,2,3,5}:{(1,1),(11,1)}
        6:{1,2,4,5,7}:{(2,1),(3,1),(11,1),(14,1),(15,1),(41,1),(47,1)}
        7:{1,2,3,6}:{(2,1),(15,1)}
        8:{2,3,4,6}:{(3,1),(15,1),(17,1),(39,1)}
        9:{1,2,3,5}:{(4,1),(20,1),(21,1)}
       10:{1,3,4,5}:{(20,1),(22,1),(23,1)}
       11:{1,2,4,5}:{(5,1),(23,1),(24,1)}
       12:{1,2,3,5,6}:{(5,1),(7,1),(21,1),(24,1),(25,1),(30,1),(51,1),(54,1)}
       13:{3,4,5,6}:{(26,1),(27,1),(28,1),(54,1)}
       14:{1,3,4,5,7}:{(6,1),(23,1),(29,1),(55,1),(60,1)}
       15:{1,2,4,6}:{(6,1),(7,1),(8,1),(29,1),(30,1)}
       16:{1,2,3,6,7}:{(7,1),(25,1),(31,1),(73,1),(75,1)}
       17:{2,3,5,6}:{(8,1),(27,1),(30,1),(32,1),(54,1)}
       18:{2,3,4,6,7}:{(8,1),(31,1),(32,1),(55,1),(58,1),(75,1)}
       19:{2,4,5,6,7}:{(33,1),(58,1)}
       20:{1,2,4,5}:{(9,1),(10,1),(34,1),(35,1)}
       21:{1,2,3,6}:{(9,1),(35,1),(36,1)}
       22:{1,3,4,6}:{(10,1),(35,1),(37,1),(38,1),(39,1)}
       23:{3,4,5}:{(11,1),(39,1)}
       24:{1,2,4,6}:{(11,1),(12,1),(39,1),(41,1)}
       25:{1,2,3,5,7}:{(12,1),(16,1),(36,1),(41,1),(47,1),(64,1),(67,1)}
       26:{1,4,5,6}:{(13,1),(37,1),(42,1)}
       27:{2,4,5,6}:{(13,1),(17,1),(43,1)}
       28:{3,4,5,7}:{(13,1),(42,1),(43,1),(44,1),(67,1)}
       29:{1,3,4,6}:{(14,1),(15,1),(39,1),(45,1)}
       30:{1,2,5,6}:{(15,1),(17,1),(45,1),(47,1)}
       31:{1,2,4,6,7}:{(15,1),(16,1),(18,1),(41,1),(46,1),(47,1)}
       32:{2,3,5,7}:{(17,1),(18,1),(43,1),(47,1),(67,1)}
       33:{3,5,6,7}:{(19,1),(44,1),(48,1)}
       34:{2,3,4,5}:{(20,1),(23,1),(50,1)}
       35:{1,2,4,6}:{(20,1),(21,1),(22,1),(50,1),(51,1),(52,1)}
       36:{1,2,3,7}:{(21,1),(52,1)}
       37:{1,3,5,6}:{(22,1),(26,1),(51,1),(53,1),(54,1)}
       38:{1,3,4,7}:{(22,1),(52,1),(53,1),(55,1)}
       39:{3,4,6}:{(23,1),(24,1),(54,1),(55,1)}
       40:{1,2,4,5,6}:{(24,1),(26,1),(27,1),(30,1),(51,1),(54,1),(56,1),(59,1),(71,1)}
       41:{1,2,4,7}:{(24,1),(25,1),(55,1)}
       42:{1,4,5,7}:{(26,1),(28,1),(53,1),(57,1)}
       43:{2,4,5,7}:{(27,1),(28,1),(32,1),(58,1)}
       44:{3,4,6,7}:{(28,1),(33,1),(57,1),(58,1),(75,1)}
       45:{1,3,5,6}:{(29,1),(30,1),(54,1),(59,1),(60,1)}
       46:{1,3,4,6,7}:{(29,1),(31,1),(55,1),(60,1),(75,1),(76,1)}
       47:{1,2,5,7}:{(30,1),(31,1),(32,1),(60,1)}
       48:{1,5,6,7}:{(33,1),(57,1)}
       49:{2,3,5,6,7}:{(32,1),(33,1),(58,1),(61,1),(75,1)}
       50:{2,3,4,6}:{(34,1),(35,1),(39,1),(62,1),(63,1)}
       51:{1,2,5,6}:{(35,1),(37,1),(62,1),(64,1)}
       52:{1,2,4,7}:{(35,1),(36,1),(38,1),(63,1),(64,1)}
       53:{1,3,5,7}:{(37,1),(38,1),(42,1),(64,1),(65,1),(67,1)}
       54:{3,5,6}:{(39,1),(40,1),(67,1)}
       55:{3,4,7}:{(39,1),(41,1),(67,1)}
       56:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(43,1),(47,1),(64,1),(67,1),(68,1),(69,1),(77,1)}
       57:{1,4,6,7}:{(42,1),(44,1),(48,1),(65,1)}
       58:{2,4,6,7}:{(43,1),(44,1),(49,1)}
       59:{1,4,5,6}:{(45,1),(66,1),(69,1)}
       60:{1,3,5,7}:{(45,1),(46,1),(47,1),(67,1),(69,1)}
       61:{1,2,5,6,7}:{(47,1),(48,1),(49,1),(68,1),(70,1),(83,1)}
       62:{2,3,5,6}:{(50,1),(51,1),(54,1),(71,1),(72,1)}
       63:{2,3,4,7}:{(50,1),(52,1),(55,1),(72,1)}
       64:{1,2,5,7}:{(51,1),(52,1),(53,1),(72,1),(73,1)}
       65:{1,3,6,7}:{(53,1),(57,1),(73,1),(75,1)}
       66:{3,4,5,6}:{(54,1),(59,1),(71,1),(74,1)}
       67:{3,5,7}:{(54,1),(55,1),(56,1),(75,1)}
       68:{1,2,4,6,7}:{(56,1),(57,1),(58,1),(61,1),(73,1),(75,1),(76,1),(81,1)}
       69:{1,4,5,7}:{(59,1),(60,1),(74,1),(76,1)}
       70:{1,3,5,6,7}:{(60,1),(61,1),(75,1),(76,1),(82,1)}
       71:{2,4,5,6}:{(62,1),(66,1),(77,1)}
       72:{2,3,5,7}:{(62,1),(63,1),(64,1),(67,1),(77,1),(78,1)}
       73:{1,2,6,7}:{(64,1),(65,1),(78,1)}
       74:{3,4,5,7}:{(66,1),(67,1),(69,1),(77,1),(79,1)}
       75:{3,6,7}:{(67,1),(68,1)}
       76:{1,4,6,7}:{(69,1),(70,1),(79,1)}
       77:{2,4,5,7}:{(71,1),(72,1),(74,1),(81,1)}
       78:{2,3,6,7}:{(72,1),(73,1),(75,1),(81,1)}
       79:{3,4,6,7}:{(74,1),(75,1),(76,1),(81,1),(82,1)}
       80:{1,4,5,6,7}:{(76,1),(82,1)}
       81:{2,4,6,7}:{(77,1),(78,1),(79,1),(83,1)}
       82:{3,5,6,7}:{(79,1),(80,1),(83,1)}
       83:{2,5,6,7}:{(81,1),(82,1)}

2263 :   0:{3,4,5,6,7}:{(3,1),(4,1),(20,1),(96,1)}
         1:{1,3,4,5,6}:{(5,1),(6,1),(50,1),(61,1),(99,1)}
         2:{2,3,4,5,6}:{(7,1),(8,1),(56,1),(61,1),(101,1)}
         3:{1,4,5,6,7}:{(0,1),(9,1),(98,1)}
         4:{2,4,5,6,7}:{(0,1),(10,1),(100,1)}
         5:{1,3,4,5,7}:{(1,1),(12,1),(13,1),(45,1),(64,1),(90,1)}
         6:{1,2,4,5,6}:{(1,1),(13,1),(14,1),(35,1),(76,1),(91,1)}
         7:{2,3,4,5,7}:{(2,1),(15,1),(16,1),(45,1),(70,1),(93,1)}
         8:{1,2,4,5,6}:{(2,1),(16,1),(17,1),(40,1),(77,1),(94,1)}
         9:{1,3,5,6,7}:{(3,1),(12,1),(18,1),(20,1),(90,1)}
        10:{2,3,5,6,7}:{(4,1),(15,1),(19,1),(20,1),(93,1)}
        11:{1,2,4,5,6,7}:{(3,1),(4,1),(18,1),(19,1),(20,1),(43,1),(44,1),(75,1)}
        12:{1,3,4,6,7}:{(5,1),(9,1),(21,1),(31,1)}
        13:{1,2,4,5,7}:{(5,1),(6,1),(21,1),(22,1),(48,1),(59,1),(79,1)}
        14:{2,3,5,6}:{(6,1),(22,1),(24,1)}
        15:{2,3,4,6,7}:{(7,1),(10,1),(25,1),(31,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(25,1),(26,1),(54,1),(60,1),(84,1)}
        17:{1,3,5,6}:{(8,1),(26,1),(28,1)}
        18:{1,2,5,6,7}:{(9,1),(21,1),(29,1),(79,1)}
        19:{1,2,5,6,7}:{(10,1),(25,1),(30,1),(84,1)}
        20:{3,5,6,7}:{(11,1),(31,1),(88,1)}
        21:{1,2,4,6,7}:{(12,1),(13,1),(18,1),(32,1),(43,1)}
        22:{2,3,5,7}:{(13,1),(14,1),(32,1),(34,1)}
        23:{1,2,3,5,6}:{(14,1),(33,1),(35,1),(67,1),(91,1),(92,1)}
        24:{2,3,4,6}:{(14,1),(34,1),(35,1),(36,1)}
        25:{1,2,4,6,7}:{(15,1),(16,1),(19,1),(37,1),(44,1)}
        26:{1,3,5,7}:{(16,1),(17,1),(37,1),(39,1)}
        27:{1,2,3,5,6}:{(17,1),(38,1),(40,1),(73,1),(94,1),(95,1)}
        28:{1,3,4,6}:{(17,1),(39,1),(40,1),(41,1)}
        29:{2,3,5,6,7}:{(18,1),(20,1),(32,1),(43,1),(63,1)}
        30:{1,3,5,6,7}:{(19,1),(20,1),(37,1),(44,1),(69,1)}
        31:{3,4,6,7}:{(20,1),(43,1),(44,1),(45,1)}
        32:{2,3,6,7}:{(21,1),(22,1)}
        33:{1,2,3,5,7}:{(22,1),(23,1),(46,1),(48,1),(79,1),(81,1)}
        34:{2,3,4,7}:{(22,1),(24,1),(48,1)}
        35:{1,2,4,6}:{(23,1),(24,1),(48,1),(50,1),(51,1)}
        36:{2,3,4,5}:{(24,1),(51,1)}
        37:{1,3,6,7}:{(25,1),(26,1)}
        38:{1,2,3,5,7}:{(26,1),(27,1),(52,1),(54,1),(84,1),(86,1)}
        39:{1,3,4,7}:{(26,1),(28,1),(54,1)}
        40:{1,2,4,6}:{(27,1),(28,1),(54,1),(56,1),(57,1)}
        41:{1,3,4,5}:{(28,1),(57,1)}
        42:{1,2,3,5,6,7}:{(29,1),(30,1),(46,1),(52,1),(58,1),(79,1),(84,1),(88,1),(99,1),(101,1)}
        43:{2,4,6,7}:{(29,1),(31,1),(59,1)}
        44:{1,4,6,7}:{(30,1),(31,1),(60,1)}
        45:{3,4,5,7}:{(31,1),(59,1),(60,1),(61,1),(88,1)}
        46:{1,2,3,6,7}:{(32,1),(33,1),(62,1),(92,1)}
        47:{2,3,4,6,7}:{(32,1),(34,1),(43,1),(62,1),(63,1),(66,1),(74,1)}
        48:{1,2,4,7}:{(33,1),(34,1),(35,1),(64,1)}
        49:{2,3,4,5,7}:{(34,1),(36,1),(63,1),(65,1),(66,1),(96,1)}
        50:{1,3,4,6}:{(35,1),(64,1),(67,1),(92,1)}
        51:{1,2,4,5}:{(35,1),(36,1),(67,1)}
        52:{1,2,3,6,7}:{(37,1),(38,1),(68,1),(95,1)}
        53:{1,3,4,6,7}:{(37,1),(39,1),(44,1),(68,1),(69,1),(72,1),(74,1)}
        54:{1,2,4,7}:{(38,1),(39,1),(40,1),(70,1)}
        55:{1,3,4,5,7}:{(39,1),(41,1),(69,1),(71,1),(72,1),(96,1)}
        56:{2,3,4,6}:{(40,1),(70,1),(73,1),(95,1)}
        57:{1,2,4,5}:{(40,1),(41,1),(73,1)}
        58:{1,2,4,6,7}:{(42,1),(43,1),(44,1),(74,1),(75,1),(103,1),(104,1)}
        59:{2,4,5,7}:{(43,1),(45,1),(63,1),(76,1)}
        60:{1,4,5,7}:{(44,1),(45,1),(69,1),(77,1)}
        61:{3,4,5,6}:{(45,1),(76,1),(77,1),(97,1)}
        62:{1,2,4,6,7}:{(46,1),(47,1),(48,1),(78,1),(79,1),(82,1)}
        63:{2,3,5,7}:{(47,1),(59,1),(79,1),(80,1),(88,1)}
        64:{1,3,4,7}:{(48,1),(50,1),(81,1)}
        65:{1,2,4,5,7}:{(48,1),(49,1),(51,1),(79,1),(81,1),(82,1),(98,1)}
        66:{2,3,4,6}:{(49,1),(80,1),(82,1),(102,1)}
        67:{1,3,5}:{(50,1),(51,1)}
        68:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(83,1),(84,1),(87,1)}
        69:{1,3,5,7}:{(53,1),(60,1),(84,1),(85,1),(88,1)}
        70:{2,3,4,7}:{(54,1),(56,1),(86,1)}
        71:{1,2,4,5,7}:{(54,1),(55,1),(57,1),(84,1),(86,1),(87,1),(100,1)}
        72:{1,3,4,6}:{(55,1),(85,1),(87,1),(102,1)}
        73:{2,3,5}:{(56,1),(57,1)}
        74:{3,4,6,7}:{(58,1),(88,1),(102,1)}
        75:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(79,1),(84,1),(88,1),(89,1),(98,1),(100,1)}
        76:{2,4,5,6}:{(59,1),(61,1),(80,1)}
        77:{1,4,5,6}:{(60,1),(61,1),(85,1)}
        78:{1,3,4,6,7}:{(62,1),(64,1),(74,1),(90,1),(92,1),(103,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(90,1),(91,1)}
        80:{2,3,5,6}:{(63,1),(66,1),(76,1),(91,1),(97,1)}
        81:{1,3,5,7}:{(64,1),(65,1),(67,1),(92,1)}
        82:{1,2,4,6}:{(65,1),(66,1),(91,1),(92,1),(103,1)}
        83:{2,3,4,6,7}:{(68,1),(70,1),(74,1),(93,1),(95,1),(104,1)}
        84:{1,2,5,7}:{(68,1),(69,1),(93,1),(94,1)}
        85:{1,3,5,6}:{(69,1),(72,1),(77,1),(94,1),(97,1)}
        86:{2,3,5,7}:{(70,1),(71,1),(73,1),(95,1)}
        87:{1,2,4,6}:{(71,1),(72,1),(94,1),(95,1),(104,1)}
        88:{3,5,7}:{(74,1),(75,1),(97,1)}
        89:{1,2,4,5,6}:{(75,1),(76,1),(77,1),(91,1),(94,1),(97,1),(103,1),(104,1)}
        90:{1,3,5,7}:{(78,1),(79,1),(88,1),(98,1),(99,1)}
        91:{1,2,5,6}:{(79,1),(80,1),(82,1),(99,1)}
        92:{1,3,6}:{(81,1),(82,1)}
        93:{2,3,5,7}:{(83,1),(84,1),(88,1),(100,1),(101,1)}
        94:{1,2,5,6}:{(84,1),(85,1),(87,1),(101,1)}
        95:{2,3,6}:{(86,1),(87,1)}
        96:{3,4,5,7}:{(88,1),(98,1),(100,1),(102,1)}
        97:{3,5,6}:{(88,1),(89,1),(102,1)}
        98:{1,4,5,7}:{(90,1),(96,1),(103,1)}
        99:{1,3,5,6}:{(90,1),(91,1),(92,1),(97,1),(103,1)}
       100:{2,4,5,7}:{(93,1),(96,1),(104,1)}
       101:{2,3,5,6}:{(93,1),(94,1),(95,1),(97,1),(104,1)}
       102:{3,4,6}:{(96,1),(97,1),(103,1),(104,1)}
       103:{1,4,6}:{(98,1),(99,1),(102,1)}
       104:{2,4,6}:{(100,1),(101,1),(102,1)}

2264 :  0:{1,3,4,5,6}:{(2,1),(3,1),(42,1)}
        1:{2,3,4,5,6}:{(2,1),(4,1),(42,1)}
        2:{1,2,4,5,6}:{(0,1),(1,1),(5,1),(6,1)}
        3:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(38,1)}
        4:{2,3,4,5,7}:{(1,1),(6,1),(8,1),(38,1)}
        5:{1,2,3,5,6}:{(2,1),(9,1),(10,1)}
        6:{1,2,4,5,7}:{(2,1),(3,1),(4,1),(10,1),(11,1)}
        7:{1,3,4,6,7}:{(3,1),(11,1),(12,1),(34,1)}
        8:{2,3,4,6,7}:{(4,1),(11,1),(13,1),(34,1)}
        9:{1,2,3,4,6}:{(5,1),(14,1),(15,1)}
       10:{1,2,3,5,7}:{(5,1),(6,1),(15,1),(16,1)}
       11:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(16,1),(17,1)}
       12:{1,3,5,6,7}:{(7,1),(17,1),(18,1),(29,1)}
       13:{2,3,5,6,7}:{(8,1),(17,1),(19,1),(29,1)}
       14:{1,2,3,4,5}:{(9,1)}
       15:{1,2,3,4,7}:{(9,1),(10,1)}
       16:{1,2,3,6,7}:{(10,1),(11,1)}
       17:{1,2,5,6,7}:{(11,1),(12,1),(13,1)}
       18:{1,4,5,6,7}:{(12,1),(24,1)}
       19:{2,4,5,6,7}:{(13,1),(25,1)}
       20:{1,2,3,4,5,7}:{(14,1),(15,1),(26,1),(27,1),(53,1),(55,1)}
       21:{1,2,3,4,6,7}:{(15,1),(16,1),(26,1),(27,1),(28,1),(49,1),(53,1)}
       22:{1,2,3,5,6,7}:{(16,1),(17,1),(27,1),(28,1),(29,1),(41,1),(49,1)}
       23:{1,2,4,5,6,7}:{(17,1),(18,1),(19,1),(28,1),(29,1),(30,1),(31,1),(41,1)}
       24:{3,4,5,6,7}:{(18,1),(29,1),(30,1)}
       25:{3,4,5,6,7}:{(19,1),(29,1),(31,1)}
       26:{1,2,3,4,6}:{(20,1),(32,1)}
       27:{1,2,3,5,7}:{(21,1),(32,1),(33,1)}
       28:{1,2,4,6,7}:{(22,1),(33,1),(34,1)}
       29:{3,5,6,7}:{(23,1),(34,1)}
       30:{2,4,5,6,7}:{(24,1),(36,1)}
       31:{1,4,5,6,7}:{(25,1),(35,1)}
       32:{1,2,3,5,6}:{(26,1),(27,1),(37,1)}
       33:{1,2,4,5,7}:{(27,1),(28,1),(37,1),(38,1)}
       34:{3,4,6,7}:{(28,1),(29,1),(38,1)}
       35:{1,3,5,6,7}:{(29,1),(31,1),(39,1),(41,1)}
       36:{2,3,5,6,7}:{(29,1),(30,1),(40,1),(41,1)}
       37:{1,2,4,5,6}:{(32,1),(33,1),(42,1)}
       38:{3,4,5,7}:{(33,1),(34,1),(42,1)}
       39:{1,3,4,6,7}:{(34,1),(35,1),(43,1),(45,1)}
       40:{2,3,4,6,7}:{(34,1),(36,1),(44,1),(45,1)}
       41:{1,2,5,6,7}:{(35,1),(36,1),(45,1)}
       42:{3,4,5,6}:{(37,1),(38,1)}
       43:{1,3,4,5,7}:{(38,1),(39,1),(46,1),(48,1)}
       44:{2,3,4,5,7}:{(38,1),(40,1),(47,1),(48,1)}
       45:{1,2,4,6,7}:{(39,1),(40,1),(41,1),(48,1),(49,1)}
       46:{1,3,4,5,6}:{(42,1),(43,1),(50,1)}
       47:{2,3,4,5,6}:{(42,1),(44,1),(50,1)}
       48:{1,2,4,5,7}:{(43,1),(44,1),(45,1),(50,1),(51,1)}
       49:{1,2,3,6,7}:{(45,1),(51,1)}
       50:{1,2,4,5,6}:{(46,1),(47,1),(48,1),(52,1)}
       51:{1,2,3,5,7}:{(48,1),(49,1),(52,1),(53,1)}
       52:{1,2,3,5,6}:{(50,1),(51,1),(54,1)}
       53:{1,2,3,4,7}:{(51,1),(54,1)}
       54:{1,2,3,4,6}:{(52,1),(53,1),(55,1)}
       55:{1,2,3,4,5}:{(54,1)}

2265 :  0:{1,3,4,5,7}:{(8,1),(9,1),(12,1),(60,1),(71,1)}
        1:{2,3,4,5,7}:{(8,1),(10,1),(13,1),(60,1),(71,1)}
        2:{1,3,4,6,7}:{(9,1),(11,1),(12,1),(15,1),(41,1),(60,1)}
        3:{2,3,4,6,7}:{(10,1),(11,1),(13,1),(16,1),(41,1),(60,1)}
        4:{1,3,5,6,7}:{(12,1),(14,1),(15,1),(18,1),(41,1)}
        5:{2,3,5,6,7}:{(13,1),(14,1),(16,1),(17,1),(41,1)}
        6:{2,4,5,6,7}:{(16,1),(17,1)}
        7:{1,4,5,6,7}:{(15,1),(18,1)}
        8:{1,2,4,5,7}:{(0,1),(1,1),(19,1),(20,1),(24,1),(49,1),(64,1)}
        9:{1,3,4,6}:{(0,1),(20,1),(21,1),(65,1)}
       10:{2,3,4,6}:{(1,1),(20,1),(22,1),(65,1)}
       11:{1,2,4,6,7}:{(2,1),(3,1),(20,1),(23,1),(24,1),(49,1)}
       12:{1,3,5,7}:{(2,1),(21,1),(24,1),(25,1),(50,1)}
       13:{2,3,5,7}:{(3,1),(22,1),(24,1),(26,1),(50,1)}
       14:{1,2,5,6,7}:{(4,1),(5,1),(24,1),(27,1),(30,1),(31,1)}
       15:{1,4,6,7}:{(4,1),(25,1),(28,1)}
       16:{2,4,6,7}:{(5,1),(26,1),(29,1)}
       17:{3,5,6,7}:{(6,1),(29,1),(30,1)}
       18:{3,5,6,7}:{(7,1),(28,1),(31,1)}
       19:{1,2,3,5,7}:{(8,1),(32,1),(33,1),(55,1)}
       20:{1,2,4,6}:{(8,1),(9,1),(10,1),(33,1),(34,1)}
       21:{1,3,5,6}:{(9,1),(12,1),(34,1),(35,1),(57,1)}
       22:{2,3,5,6}:{(10,1),(13,1),(34,1),(36,1),(57,1)}
       23:{1,2,3,6,7}:{(11,1),(33,1),(37,1),(41,1),(63,1)}
       24:{1,2,5,7}:{(11,1),(12,1),(13,1),(34,1)}
       25:{1,4,5,7}:{(12,1),(15,1),(35,1),(39,1)}
       26:{2,4,5,7}:{(13,1),(16,1),(36,1),(40,1)}
       27:{1,2,4,6,7}:{(14,1),(15,1),(16,1),(38,1),(41,1),(42,1),(43,1),(63,1)}
       28:{3,4,6,7}:{(15,1),(18,1),(39,1),(41,1),(42,1)}
       29:{3,4,6,7}:{(16,1),(17,1),(40,1),(41,1),(43,1)}
       30:{1,5,6,7}:{(17,1),(43,1)}
       31:{2,5,6,7}:{(18,1),(42,1)}
       32:{1,2,3,4,7}:{(19,1),(44,1),(49,1),(79,1)}
       33:{1,2,3,6}:{(19,1),(20,1)}
       34:{1,2,5,6}:{(20,1),(21,1),(22,1),(24,1)}
       35:{1,4,5,6}:{(21,1),(25,1),(47,1)}
       36:{2,4,5,6}:{(22,1),(26,1),(48,1)}
       37:{1,2,3,5,7}:{(23,1),(24,1),(45,1),(49,1),(50,1),(70,1),(79,1)}
       38:{1,2,4,5,7}:{(24,1),(25,1),(26,1),(27,1),(46,1),(49,1),(50,1),(51,1),(52,1),(70,1)}
       39:{3,4,5,7}:{(25,1),(28,1),(47,1),(50,1),(51,1)}
       40:{3,4,5,7}:{(26,1),(29,1),(48,1),(50,1),(52,1)}
       41:{3,6,7}:{(27,1),(50,1)}
       42:{2,4,6,7}:{(28,1),(31,1),(51,1),(54,1)}
       43:{1,4,6,7}:{(29,1),(30,1),(52,1),(53,1)}
       44:{1,2,3,4,6}:{(32,1),(33,1),(55,1),(56,1),(81,1),(83,1)}
       45:{1,2,3,5,6}:{(33,1),(34,1),(37,1),(55,1),(56,1),(57,1),(74,1),(81,1)}
       46:{1,2,4,5,6}:{(34,1),(35,1),(36,1),(38,1),(56,1),(57,1),(58,1),(59,1),(74,1)}
       47:{3,4,5,6}:{(35,1),(39,1),(57,1),(58,1)}
       48:{3,4,5,6}:{(36,1),(40,1),(57,1),(59,1)}
       49:{1,2,4,7}:{(37,1),(56,1),(60,1)}
       50:{3,5,7}:{(38,1),(41,1),(57,1),(60,1)}
       51:{2,4,5,7}:{(39,1),(42,1),(58,1),(62,1)}
       52:{1,4,5,7}:{(40,1),(43,1),(59,1),(61,1)}
       53:{1,3,6,7}:{(41,1),(43,1),(61,1),(63,1)}
       54:{2,3,6,7}:{(41,1),(42,1),(62,1),(63,1)}
       55:{1,2,3,5}:{(44,1),(64,1)}
       56:{1,2,4,6}:{(45,1),(49,1),(64,1),(65,1)}
       57:{3,5,6}:{(46,1),(50,1),(65,1)}
       58:{2,4,5,6}:{(47,1),(51,1),(67,1)}
       59:{1,4,5,6}:{(48,1),(52,1),(66,1)}
       60:{3,4,7}:{(49,1),(50,1),(65,1)}
       61:{1,3,5,7}:{(50,1),(52,1),(53,1),(66,1),(68,1),(70,1)}
       62:{2,3,5,7}:{(50,1),(51,1),(54,1),(67,1),(69,1),(70,1)}
       63:{1,2,6,7}:{(53,1),(54,1),(70,1)}
       64:{1,2,4,5}:{(55,1),(56,1),(71,1)}
       65:{3,4,6}:{(56,1),(57,1),(60,1),(71,1)}
       66:{1,3,5,6}:{(57,1),(59,1),(61,1),(72,1),(74,1)}
       67:{2,3,5,6}:{(57,1),(58,1),(62,1),(73,1),(74,1)}
       68:{1,3,4,7}:{(60,1),(61,1),(72,1),(75,1)}
       69:{2,3,4,7}:{(60,1),(62,1),(73,1),(75,1)}
       70:{1,2,5,7}:{(61,1),(62,1),(63,1),(74,1),(75,1)}
       71:{3,4,5}:{(64,1),(65,1)}
       72:{1,3,4,6}:{(65,1),(66,1),(68,1),(76,1),(78,1)}
       73:{2,3,4,6}:{(65,1),(67,1),(69,1),(77,1),(78,1)}
       74:{1,2,5,6}:{(66,1),(67,1),(70,1),(78,1)}
       75:{1,2,4,7}:{(68,1),(69,1),(70,1),(78,1),(79,1)}
       76:{1,3,4,5}:{(71,1),(72,1),(80,1)}
       77:{2,3,4,5}:{(71,1),(73,1),(80,1)}
       78:{1,2,4,6}:{(72,1),(73,1),(74,1),(75,1),(80,1),(81,1)}
       79:{1,2,3,7}:{(75,1),(81,1)}
       80:{1,2,4,5}:{(76,1),(77,1),(78,1),(82,1)}
       81:{1,2,3,6}:{(78,1),(79,1),(82,1)}
       82:{1,2,3,5}:{(80,1),(81,1),(83,1)}
       83:{1,2,3,4}:{(82,1)}

2266 :  0:{2,3,4,5,7}:{(3,1),(4,1),(21,1),(46,1),(67,1)}
        1:{1,3,4,5,7}:{(3,1),(5,1),(23,1),(46,1),(67,1)}
        2:{1,2,3,4,7}:{(6,1),(7,1),(56,1),(83,1)}
        3:{1,2,4,5,7}:{(0,1),(1,1),(6,1),(8,1),(32,1),(33,1),(56,1)}
        4:{2,3,4,6}:{(0,1),(8,1),(10,1),(57,1)}
        5:{1,3,4,6}:{(1,1),(8,1),(12,1),(57,1)}
        6:{1,2,3,5,7}:{(2,1),(3,1),(17,1),(18,1)}
        7:{1,2,3,4,6}:{(2,1),(17,1),(18,1),(45,1),(81,1),(82,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(5,1),(17,1),(20,1)}
        9:{2,3,4,6,7}:{(4,1),(19,1),(21,1),(26,1),(53,1),(67,1)}
       10:{2,3,5,6}:{(4,1),(20,1),(21,1),(22,1),(48,1)}
       11:{1,3,4,6,7}:{(5,1),(19,1),(23,1),(27,1),(53,1),(67,1)}
       12:{1,3,5,6}:{(5,1),(20,1),(23,1),(24,1),(48,1)}
       13:{2,3,5,6,7}:{(21,1),(25,1),(26,1),(29,1),(53,1)}
       14:{1,3,5,6,7}:{(23,1),(25,1),(27,1),(28,1),(53,1)}
       15:{1,4,5,6,7}:{(27,1),(28,1)}
       16:{2,4,5,6,7}:{(26,1),(29,1)}
       17:{1,2,3,6}:{(6,1),(8,1)}
       18:{1,2,3,5}:{(7,1),(32,1)}
       19:{1,2,4,6,7}:{(8,1),(9,1),(11,1),(30,1),(33,1),(56,1)}
       20:{1,2,5,6}:{(8,1),(10,1),(12,1),(33,1)}
       21:{2,3,5,7}:{(9,1),(10,1),(33,1),(35,1),(60,1)}
       22:{2,4,5,6}:{(10,1),(35,1),(36,1)}
       23:{1,3,5,7}:{(11,1),(12,1),(33,1),(37,1),(60,1)}
       24:{1,4,5,6}:{(12,1),(37,1),(38,1)}
       25:{1,2,5,6,7}:{(13,1),(14,1),(33,1),(39,1),(42,1),(43,1)}
       26:{2,4,6,7}:{(13,1),(35,1),(40,1)}
       27:{1,4,6,7}:{(14,1),(37,1),(41,1)}
       28:{3,5,6,7}:{(15,1),(41,1),(42,1)}
       29:{3,5,6,7}:{(16,1),(40,1),(43,1)}
       30:{1,2,3,6,7}:{(17,1),(19,1),(44,1),(53,1),(74,1)}
       31:{1,2,3,5,6}:{(17,1),(18,1),(20,1),(44,1),(45,1),(48,1),(73,1),(81,1)}
       32:{1,2,4,5}:{(18,1),(45,1),(46,1)}
       33:{1,2,5,7}:{(19,1),(20,1),(21,1),(23,1)}
       34:{1,2,4,5,6}:{(20,1),(22,1),(24,1),(45,1),(47,1),(48,1),(50,1),(52,1),(73,1)}
       35:{2,4,5,7}:{(21,1),(22,1),(26,1),(49,1)}
       36:{3,4,5,6}:{(22,1),(48,1),(49,1),(50,1)}
       37:{1,4,5,7}:{(23,1),(24,1),(27,1),(51,1)}
       38:{3,4,5,6}:{(24,1),(48,1),(51,1),(52,1)}
       39:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(47,1),(53,1),(54,1),(55,1),(74,1)}
       40:{3,4,6,7}:{(26,1),(29,1),(49,1),(53,1),(54,1)}
       41:{3,4,6,7}:{(27,1),(28,1),(51,1),(53,1),(55,1)}
       42:{2,5,6,7}:{(28,1),(55,1)}
       43:{1,5,6,7}:{(29,1),(54,1)}
       44:{1,2,3,5,7}:{(30,1),(31,1),(33,1),(56,1),(60,1),(79,1),(83,1)}
       45:{1,2,4,6}:{(31,1),(32,1),(56,1),(57,1)}
       46:{3,4,5}:{(32,1),(57,1)}
       47:{1,2,4,5,7}:{(33,1),(34,1),(35,1),(37,1),(39,1),(56,1),(60,1),(63,1),(64,1),(79,1)}
       48:{3,5,6}:{(34,1),(57,1),(60,1)}
       49:{3,4,5,7}:{(35,1),(36,1),(40,1),(60,1),(63,1)}
       50:{1,4,5,6}:{(36,1),(61,1),(63,1)}
       51:{3,4,5,7}:{(37,1),(38,1),(41,1),(60,1),(64,1)}
       52:{2,4,5,6}:{(38,1),(62,1),(64,1)}
       53:{3,6,7}:{(39,1),(60,1)}
       54:{1,4,6,7}:{(40,1),(43,1),(63,1),(65,1)}
       55:{2,4,6,7}:{(41,1),(42,1),(64,1),(66,1)}
       56:{1,2,4,7}:{(44,1),(45,1),(67,1)}
       57:{3,4,6}:{(45,1),(46,1),(48,1),(67,1)}
       58:{1,3,4,5}:{(46,1),(68,1),(70,1)}
       59:{2,3,4,5}:{(46,1),(69,1),(70,1)}
       60:{3,5,7}:{(47,1),(48,1),(53,1),(67,1)}
       61:{1,3,5,6}:{(48,1),(50,1),(68,1),(71,1),(73,1)}
       62:{2,3,5,6}:{(48,1),(52,1),(69,1),(72,1),(73,1)}
       63:{1,4,5,7}:{(49,1),(50,1),(54,1),(71,1)}
       64:{2,4,5,7}:{(51,1),(52,1),(55,1),(72,1)}
       65:{1,3,6,7}:{(53,1),(54,1),(71,1),(74,1)}
       66:{2,3,6,7}:{(53,1),(55,1),(72,1),(74,1)}
       67:{3,4,7}:{(56,1),(57,1),(60,1)}
       68:{1,3,4,6}:{(57,1),(58,1),(61,1),(75,1),(77,1)}
       69:{2,3,4,6}:{(57,1),(59,1),(62,1),(76,1),(77,1)}
       70:{1,2,4,5}:{(58,1),(59,1),(77,1),(78,1)}
       71:{1,3,5,7}:{(60,1),(61,1),(63,1),(65,1),(75,1),(79,1)}
       72:{2,3,5,7}:{(60,1),(62,1),(64,1),(66,1),(76,1),(79,1)}
       73:{1,2,5,6}:{(61,1),(62,1),(77,1),(79,1)}
       74:{1,2,6,7}:{(65,1),(66,1),(79,1)}
       75:{1,3,4,7}:{(67,1),(68,1),(71,1),(80,1)}
       76:{2,3,4,7}:{(67,1),(69,1),(72,1),(80,1)}
       77:{1,2,4,6}:{(68,1),(69,1),(70,1),(73,1),(80,1),(81,1)}
       78:{1,2,3,5}:{(70,1),(81,1),(82,1)}
       79:{1,2,5,7}:{(71,1),(72,1),(73,1),(74,1),(80,1)}
       80:{1,2,4,7}:{(75,1),(76,1),(77,1),(79,1),(83,1)}
       81:{1,2,3,6}:{(77,1),(78,1),(83,1)}
       82:{1,2,3,4}:{(78,1)}
       83:{1,2,3,7}:{(80,1),(81,1)}

2267 :   0:{2,3,4,5,6}:{(3,1),(4,1),(31,1),(63,1),(100,1)}
         1:{1,3,4,5,6}:{(5,1),(6,1),(25,1),(58,1),(104,1)}
         2:{1,2,3,4,6}:{(7,1),(8,1),(35,1),(36,1)}
         3:{1,2,4,5,6}:{(0,1),(11,1),(12,1),(36,1),(73,1),(77,1)}
         4:{2,3,4,5,7}:{(0,1),(9,1),(12,1),(49,1),(84,1),(125,1)}
         5:{1,2,4,5,6}:{(1,1),(15,1),(16,1),(36,1),(73,1),(82,1)}
         6:{1,3,4,5,7}:{(1,1),(13,1),(16,1),(43,1),(79,1),(128,1)}
         7:{1,2,3,4,7}:{(2,1),(18,1),(54,1)}
         8:{1,2,3,5}:{(2,1),(19,1)}
         9:{2,3,4,6,7}:{(4,1),(22,1),(24,1),(101,1)}
        10:{1,3,4,5}:{(19,1),(25,1)}
        11:{1,3,5,6}:{(3,1),(25,1),(26,1)}
        12:{1,2,4,5,7}:{(3,1),(4,1),(24,1),(26,1),(54,1),(98,1),(102,1)}
        13:{1,3,4,6,7}:{(6,1),(28,1),(30,1),(105,1)}
        14:{2,3,4,5}:{(19,1),(31,1)}
        15:{2,3,5,6}:{(5,1),(31,1),(32,1)}
        16:{1,2,4,5,7}:{(5,1),(6,1),(30,1),(32,1),(54,1),(98,1),(106,1)}
        17:{1,2,3,4,6,7}:{(7,1),(33,1),(35,1),(67,1),(71,1),(74,1),(115,1),(121,1),(149,1)}
        18:{1,2,3,5,7}:{(7,1),(8,1),(34,1),(35,1)}
        19:{1,2,4,5}:{(8,1),(10,1),(14,1),(36,1)}
        20:{1,2,3,5,6}:{(8,1),(11,1),(15,1),(35,1),(36,1),(37,1),(73,1)}
        21:{3,4,5,6,7}:{(38,1),(39,1),(76,1),(128,1)}
        22:{2,3,5,6,7}:{(9,1),(38,1),(40,1),(76,1),(84,1)}
        23:{1,3,4,5,7}:{(10,1),(34,1),(41,1),(43,1),(70,1),(79,1)}
        24:{1,2,4,6,7}:{(9,1),(12,1),(40,1),(42,1),(78,1)}
        25:{1,3,4,6}:{(10,1),(11,1),(36,1),(43,1)}
        26:{1,3,5,7}:{(11,1),(12,1),(42,1),(43,1)}
        27:{3,4,5,6,7}:{(44,1),(45,1),(81,1),(125,1)}
        28:{1,3,5,6,7}:{(13,1),(45,1),(46,1),(79,1),(81,1)}
        29:{2,3,4,5,7}:{(14,1),(34,1),(47,1),(49,1),(70,1),(84,1)}
        30:{1,2,4,6,7}:{(13,1),(16,1),(46,1),(48,1),(83,1)}
        31:{2,3,4,6}:{(14,1),(15,1),(36,1),(49,1)}
        32:{2,3,5,7}:{(15,1),(16,1),(48,1),(49,1)}
        33:{1,2,3,5,7}:{(17,1),(50,1),(51,1),(98,1),(141,1),(153,1)}
        34:{1,2,4,5,7}:{(18,1),(19,1),(23,1),(29,1),(52,1),(54,1),(98,1)}
        35:{1,2,3,6}:{(18,1),(52,1)}
        36:{1,2,4,6}:{(19,1),(20,1),(25,1),(31,1),(54,1)}
        37:{1,2,3,5,7}:{(20,1),(26,1),(32,1),(53,1),(54,1),(98,1)}
        38:{2,4,5,6,7}:{(21,1),(22,1),(106,1)}
        39:{1,4,5,6,7}:{(21,1),(55,1),(143,1)}
        40:{1,2,5,6,7}:{(22,1),(24,1),(57,1),(98,1)}
        41:{1,3,4,6}:{(23,1),(52,1),(58,1),(95,1)}
        42:{1,3,6,7}:{(24,1),(26,1)}
        43:{1,3,4,7}:{(25,1),(26,1),(54,1)}
        44:{2,4,5,6,7}:{(27,1),(60,1),(142,1)}
        45:{1,4,5,6,7}:{(27,1),(28,1),(102,1)}
        46:{1,2,5,6,7}:{(28,1),(30,1),(62,1),(98,1)}
        47:{2,3,4,6}:{(29,1),(52,1),(63,1),(95,1)}
        48:{2,3,6,7}:{(30,1),(32,1)}
        49:{2,3,4,7}:{(31,1),(32,1),(54,1)}
        50:{1,2,4,5,7}:{(33,1),(70,1),(71,1)}
        51:{1,2,3,5,6}:{(33,1),(35,1),(71,1),(73,1),(115,1),(120,1),(148,1)}
        52:{1,2,4,6}:{(34,1),(35,1),(41,1),(47,1),(73,1)}
        53:{1,2,3,6,7}:{(35,1),(37,1),(42,1),(48,1),(74,1)}
        54:{1,2,4,7}:{(36,1),(37,1),(43,1),(49,1)}
        55:{1,3,5,6,7}:{(39,1),(69,1),(75,1),(76,1),(150,1)}
        56:{1,2,4,5,6,7}:{(38,1),(39,1),(40,1),(75,1),(76,1),(78,1),(122,1),(124,1)}
        57:{1,3,5,6,7}:{(40,1),(42,1),(76,1),(78,1),(79,1)}
        58:{1,3,5,6}:{(41,1),(73,1),(77,1),(79,1),(120,1)}
        59:{1,3,4,6,7}:{(41,1),(42,1),(43,1),(74,1),(78,1),(79,1),(121,1)}
        60:{2,3,5,6,7}:{(44,1),(68,1),(80,1),(81,1),(151,1)}
        61:{1,2,4,5,6,7}:{(44,1),(45,1),(46,1),(80,1),(81,1),(83,1),(122,1),(127,1)}
        62:{2,3,5,6,7}:{(46,1),(48,1),(81,1),(83,1),(84,1)}
        63:{2,3,5,6}:{(47,1),(73,1),(82,1),(84,1),(120,1)}
        64:{2,3,4,6,7}:{(47,1),(48,1),(49,1),(74,1),(83,1),(84,1),(121,1)}
        65:{2,3,4,5,6}:{(86,1),(87,1),(104,1),(133,1),(139,1)}
        66:{1,3,4,5,6}:{(88,1),(89,1),(100,1),(131,1),(137,1)}
        67:{1,2,3,4,7}:{(85,1),(90,1),(152,1)}
        68:{2,3,4,6,7}:{(60,1),(87,1),(92,1),(105,1)}
        69:{1,3,4,6,7}:{(55,1),(89,1),(94,1),(101,1)}
        70:{3,4,5,7}:{(50,1),(95,1),(141,1)}
        71:{1,2,4,6}:{(50,1),(51,1),(95,1)}
        72:{1,2,3,5,6,7}:{(51,1),(53,1),(57,1),(62,1),(97,1),(98,1),(99,1),(103,1),(136,1),(141,1),(153,1)}
        73:{1,2,5,6}:{(52,1),(58,1),(63,1),(98,1)}
        74:{1,2,4,6,7}:{(52,1),(53,1),(54,1),(59,1),(64,1),(98,1)}
        75:{1,2,5,6,7}:{(55,1),(94,1),(99,1),(153,1)}
        76:{3,5,6,7}:{(56,1),(101,1),(141,1)}
        77:{1,4,5,6}:{(58,1),(100,1),(102,1)}
        78:{1,4,6,7}:{(57,1),(101,1),(102,1)}
        79:{1,3,5,7}:{(58,1),(59,1),(98,1),(102,1),(141,1)}
        80:{1,2,5,6,7}:{(60,1),(92,1),(103,1),(153,1)}
        81:{3,5,6,7}:{(61,1),(105,1),(141,1)}
        82:{2,4,5,6}:{(63,1),(104,1),(106,1)}
        83:{2,4,6,7}:{(62,1),(105,1),(106,1)}
        84:{2,3,5,7}:{(63,1),(64,1),(98,1),(106,1),(141,1)}
        85:{1,2,3,4,6}:{(67,1),(107,1),(115,1),(144,1)}
        86:{1,2,4,5,6}:{(65,1),(109,1),(110,1),(126,1),(144,1),(148,1)}
        87:{2,3,4,5,7}:{(65,1),(68,1),(110,1),(128,1),(147,1),(151,1)}
        88:{1,2,4,5,6}:{(66,1),(112,1),(113,1),(123,1),(144,1),(148,1)}
        89:{1,3,4,5,7}:{(66,1),(69,1),(113,1),(125,1),(146,1),(150,1)}
        90:{1,2,3,5,7}:{(67,1),(107,1),(114,1),(115,1)}
        91:{1,3,4,5,7}:{(70,1),(108,1),(114,1),(116,1),(146,1),(150,1)}
        92:{1,2,4,6,7}:{(68,1),(80,1),(110,1),(117,1),(127,1)}
        93:{2,3,4,5,7}:{(70,1),(111,1),(114,1),(118,1),(147,1),(151,1)}
        94:{1,2,4,6,7}:{(69,1),(75,1),(113,1),(119,1),(124,1)}
        95:{3,4,6}:{(70,1),(71,1),(120,1)}
        96:{1,2,4,5,6}:{(71,1),(73,1),(77,1),(82,1),(120,1),(122,1),(123,1),(126,1),(148,1)}
        97:{1,2,4,6,7}:{(71,1),(72,1),(78,1),(83,1),(121,1),(122,1),(124,1),(127,1)}
        98:{1,2,5,7}:{(73,1),(74,1),(79,1),(84,1)}
        99:{2,3,5,6,7}:{(75,1),(76,1),(119,1),(124,1),(151,1)}
       100:{3,4,5,6}:{(77,1),(120,1),(123,1),(125,1)}
       101:{3,4,6,7}:{(76,1),(78,1),(124,1),(125,1)}
       102:{1,4,5,7}:{(77,1),(78,1),(79,1),(125,1)}
       103:{1,3,5,6,7}:{(80,1),(81,1),(117,1),(127,1),(150,1)}
       104:{3,4,5,6}:{(82,1),(120,1),(126,1),(128,1)}
       105:{3,4,6,7}:{(81,1),(83,1),(127,1),(128,1)}
       106:{2,4,5,7}:{(82,1),(83,1),(84,1),(128,1)}
       107:{1,2,3,5}:{(85,1),(129,1)}
       108:{1,3,4,5}:{(129,1),(131,1)}
       109:{1,3,5,6}:{(86,1),(131,1),(132,1)}
       110:{1,2,4,5,7}:{(86,1),(87,1),(92,1),(132,1),(143,1),(152,1),(153,1)}
       111:{2,3,4,5}:{(129,1),(133,1)}
       112:{2,3,5,6}:{(88,1),(133,1),(134,1)}
       113:{1,2,4,5,7}:{(88,1),(89,1),(94,1),(134,1),(142,1),(152,1),(153,1)}
       114:{1,2,4,5,7}:{(90,1),(91,1),(93,1),(129,1),(135,1),(152,1),(153,1)}
       115:{1,2,3,6}:{(90,1),(135,1)}
       116:{1,3,4,6}:{(91,1),(95,1),(135,1),(137,1)}
       117:{1,3,6,7}:{(92,1),(132,1)}
       118:{2,3,4,6}:{(93,1),(95,1),(135,1),(139,1)}
       119:{2,3,6,7}:{(94,1),(134,1)}
       120:{3,5,6}:{(95,1),(96,1),(141,1)}
       121:{3,4,6,7}:{(95,1),(97,1),(141,1)}
       122:{1,2,4,5,7}:{(96,1),(97,1),(98,1),(102,1),(106,1),(141,1),(142,1),(143,1),(153,1)}
       123:{2,4,5,6}:{(100,1),(139,1),(142,1)}
       124:{2,4,6,7}:{(99,1),(101,1),(142,1)}
       125:{3,4,5,7}:{(100,1),(101,1),(102,1),(141,1),(142,1)}
       126:{1,4,5,6}:{(104,1),(137,1),(143,1)}
       127:{1,4,6,7}:{(103,1),(105,1),(143,1)}
       128:{3,4,5,7}:{(104,1),(105,1),(106,1),(141,1),(143,1)}
       129:{1,2,4,5}:{(107,1),(108,1),(111,1),(144,1)}
       130:{1,2,3,5,6}:{(107,1),(109,1),(112,1),(115,1),(144,1),(145,1),(148,1)}
       131:{1,3,4,6}:{(108,1),(109,1),(144,1),(146,1)}
       132:{1,3,5,7}:{(109,1),(110,1),(117,1),(146,1)}
       133:{2,3,4,6}:{(111,1),(112,1),(144,1),(147,1)}
       134:{2,3,5,7}:{(112,1),(113,1),(119,1),(147,1)}
       135:{1,2,4,6}:{(114,1),(115,1),(116,1),(118,1),(148,1)}
       136:{1,2,3,6,7}:{(115,1),(117,1),(119,1),(145,1),(149,1)}
       137:{1,3,5,6}:{(116,1),(120,1),(126,1),(148,1),(150,1)}
       138:{1,3,4,6,7}:{(116,1),(117,1),(121,1),(127,1),(146,1),(149,1),(150,1)}
       139:{2,3,5,6}:{(118,1),(120,1),(123,1),(148,1),(151,1)}
       140:{2,3,4,6,7}:{(118,1),(119,1),(121,1),(124,1),(147,1),(149,1),(151,1)}
       141:{3,5,7}:{(120,1),(121,1),(122,1)}
       142:{2,4,5,7}:{(123,1),(124,1),(125,1),(151,1)}
       143:{1,4,5,7}:{(126,1),(127,1),(128,1),(150,1)}
       144:{1,2,4,6}:{(129,1),(130,1),(131,1),(133,1),(152,1)}
       145:{1,2,3,5,7}:{(130,1),(132,1),(134,1),(136,1),(152,1),(153,1)}
       146:{1,3,4,7}:{(131,1),(132,1),(152,1)}
       147:{2,3,4,7}:{(133,1),(134,1),(152,1)}
       148:{1,2,5,6}:{(135,1),(137,1),(139,1),(153,1)}
       149:{1,2,4,6,7}:{(135,1),(136,1),(138,1),(140,1),(152,1),(153,1)}
       150:{1,3,5,7}:{(137,1),(138,1),(141,1),(143,1),(153,1)}
       151:{2,3,5,7}:{(139,1),(140,1),(141,1),(142,1),(153,1)}
       152:{1,2,4,7}:{(144,1),(145,1),(146,1),(147,1)}
       153:{1,2,5,7}:{(148,1),(149,1),(150,1),(151,1)}

2268 :  0:{1,2,3,4,6,7}:{(1,1),(14,1),(18,1),(50,1),(56,1),(85,1)}
        1:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(74,1),(93,1)}
        2:{2,3,4,5,6}:{(8,1),(9,1),(43,1),(66,1),(72,1)}
        3:{1,3,4,5,6}:{(10,1),(11,1),(41,1),(66,1),(70,1)}
        4:{3,4,5,6,7}:{(12,1),(13,1),(48,1),(83,1)}
        5:{1,2,4,5,7}:{(1,1),(17,1),(18,1)}
        6:{1,2,3,5,6}:{(1,1),(18,1),(50,1),(55,1),(84,1)}
        7:{1,2,3,4,6}:{(14,1),(20,1),(50,1),(58,1)}
        8:{1,2,4,5,6}:{(2,1),(22,1),(23,1),(58,1),(79,1),(84,1)}
        9:{2,3,4,5,7}:{(2,1),(15,1),(23,1),(61,1),(83,1),(87,1)}
       10:{1,2,4,5,6}:{(3,1),(25,1),(26,1),(58,1),(81,1),(84,1)}
       11:{1,3,4,5,7}:{(3,1),(16,1),(26,1),(60,1),(83,1),(86,1)}
       12:{2,4,5,6,7}:{(4,1),(28,1),(92,1)}
       13:{1,4,5,6,7}:{(4,1),(29,1),(91,1)}
       14:{1,2,3,4,7}:{(7,1),(31,1),(75,1)}
       15:{2,3,4,6,7}:{(9,1),(28,1),(33,1),(67,1)}
       16:{1,3,4,6,7}:{(11,1),(29,1),(35,1),(67,1)}
       17:{3,4,5,7}:{(5,1),(36,1),(74,1)}
       18:{1,2,4,6}:{(5,1),(6,1),(36,1)}
       19:{1,2,3,5,6,7}:{(6,1),(38,1),(64,1),(65,1),(69,1),(74,1),(93,1)}
       20:{1,2,3,5}:{(7,1),(39,1)}
       21:{1,3,4,5}:{(39,1),(41,1)}
       22:{1,3,5,6}:{(8,1),(41,1),(42,1)}
       23:{1,2,4,5,7}:{(8,1),(9,1),(33,1),(42,1),(75,1),(91,1),(93,1)}
       24:{2,3,4,5}:{(39,1),(43,1)}
       25:{2,3,5,6}:{(10,1),(43,1),(44,1)}
       26:{1,2,4,5,7}:{(10,1),(11,1),(35,1),(44,1),(75,1),(92,1),(93,1)}
       27:{1,2,3,4,6,7}:{(14,1),(45,1),(50,1),(77,1),(85,1),(95,1)}
       28:{2,3,5,6,7}:{(12,1),(15,1),(46,1),(48,1),(87,1)}
       29:{1,3,5,6,7}:{(13,1),(16,1),(47,1),(48,1),(86,1)}
       30:{1,2,4,5,6,7}:{(12,1),(13,1),(46,1),(47,1),(48,1),(57,1),(80,1),(82,1),(96,1)}
       31:{1,2,3,5,7}:{(14,1),(20,1),(49,1),(50,1)}
       32:{1,3,4,5,7}:{(17,1),(21,1),(49,1),(51,1),(60,1),(76,1),(86,1)}
       33:{1,2,4,6,7}:{(15,1),(23,1),(46,1),(52,1),(80,1)}
       34:{2,3,4,5,7}:{(17,1),(24,1),(49,1),(53,1),(61,1),(76,1),(87,1)}
       35:{1,2,4,6,7}:{(16,1),(26,1),(47,1),(54,1),(82,1)}
       36:{3,4,6}:{(17,1),(18,1),(55,1)}
       37:{1,2,4,5,6}:{(18,1),(55,1),(57,1),(79,1),(81,1),(84,1)}
       38:{1,2,4,6,7}:{(18,1),(19,1),(56,1),(57,1),(80,1),(82,1)}
       39:{1,2,4,5}:{(20,1),(21,1),(24,1),(58,1)}
       40:{1,2,3,5,6}:{(20,1),(22,1),(25,1),(50,1),(58,1),(59,1),(84,1)}
       41:{1,3,4,6}:{(21,1),(22,1),(58,1),(60,1)}
       42:{1,3,5,7}:{(22,1),(23,1),(52,1),(60,1)}
       43:{2,3,4,6}:{(24,1),(25,1),(58,1),(61,1)}
       44:{2,3,5,7}:{(25,1),(26,1),(54,1),(61,1)}
       45:{1,2,3,5,7}:{(27,1),(62,1),(63,1),(93,1),(97,1)}
       46:{1,2,5,6,7}:{(28,1),(33,1),(64,1),(93,1)}
       47:{1,2,5,6,7}:{(29,1),(35,1),(65,1),(93,1)}
       48:{3,5,6,7}:{(30,1),(67,1),(74,1),(97,1)}
       49:{1,2,4,5,7}:{(31,1),(32,1),(34,1),(39,1),(68,1),(75,1),(93,1)}
       50:{1,2,3,6}:{(31,1),(68,1)}
       51:{1,3,4,6}:{(32,1),(36,1),(68,1),(70,1),(88,1)}
       52:{1,3,6,7}:{(33,1),(42,1)}
       53:{2,3,4,6}:{(34,1),(36,1),(68,1),(72,1),(88,1)}
       54:{2,3,6,7}:{(35,1),(44,1)}
       55:{3,5,6}:{(36,1),(37,1),(74,1)}
       56:{3,4,6,7}:{(36,1),(38,1),(74,1)}
       57:{1,2,4,5,7}:{(37,1),(38,1),(74,1),(91,1),(92,1),(93,1)}
       58:{1,2,4,6}:{(39,1),(40,1),(41,1),(43,1),(75,1)}
       59:{1,2,3,5,7}:{(40,1),(42,1),(44,1),(69,1),(75,1),(93,1)}
       60:{1,3,4,7}:{(41,1),(42,1),(75,1)}
       61:{2,3,4,7}:{(43,1),(44,1),(75,1)}
       62:{1,2,4,5,7}:{(45,1),(76,1),(77,1)}
       63:{1,2,3,5,6}:{(45,1),(50,1),(77,1),(84,1),(94,1)}
       64:{1,3,5,6,7}:{(46,1),(48,1),(52,1),(80,1),(86,1)}
       65:{2,3,5,6,7}:{(47,1),(48,1),(54,1),(82,1),(87,1)}
       66:{3,4,5,6}:{(55,1),(79,1),(81,1),(83,1),(94,1)}
       67:{3,4,6,7}:{(48,1),(80,1),(82,1),(83,1)}
       68:{1,2,4,6}:{(49,1),(50,1),(51,1),(53,1),(84,1)}
       69:{1,2,3,6,7}:{(50,1),(52,1),(54,1),(59,1),(85,1)}
       70:{1,3,5,6}:{(51,1),(55,1),(79,1),(84,1),(86,1),(94,1)}
       71:{1,3,4,6,7}:{(51,1),(52,1),(56,1),(60,1),(80,1),(85,1),(86,1),(95,1)}
       72:{2,3,5,6}:{(53,1),(55,1),(81,1),(84,1),(87,1),(94,1)}
       73:{2,3,4,6,7}:{(53,1),(54,1),(56,1),(61,1),(82,1),(85,1),(87,1),(95,1)}
       74:{3,5,7}:{(55,1),(56,1),(57,1)}
       75:{1,2,4,7}:{(58,1),(59,1),(60,1),(61,1)}
       76:{3,4,5,7}:{(62,1),(88,1),(97,1)}
       77:{1,2,4,6}:{(62,1),(63,1),(88,1)}
       78:{1,2,3,5,6,7}:{(63,1),(64,1),(65,1),(69,1),(90,1),(93,1),(97,1)}
       79:{1,4,5,6}:{(66,1),(70,1),(91,1)}
       80:{1,4,6,7}:{(64,1),(67,1),(91,1)}
       81:{2,4,5,6}:{(66,1),(72,1),(92,1)}
       82:{2,4,6,7}:{(65,1),(67,1),(92,1)}
       83:{3,4,5,7}:{(66,1),(67,1),(74,1),(91,1),(92,1),(97,1)}
       84:{1,2,5,6}:{(68,1),(70,1),(72,1),(93,1)}
       85:{1,2,4,6,7}:{(68,1),(69,1),(71,1),(73,1),(75,1),(93,1)}
       86:{1,3,5,7}:{(70,1),(71,1),(74,1),(91,1),(93,1),(97,1)}
       87:{2,3,5,7}:{(72,1),(73,1),(74,1),(92,1),(93,1),(97,1)}
       88:{3,4,6}:{(76,1),(77,1),(94,1)}
       89:{1,2,4,5,6}:{(77,1),(79,1),(81,1),(84,1),(94,1),(96,1)}
       90:{1,2,4,6,7}:{(77,1),(78,1),(80,1),(82,1),(95,1),(96,1)}
       91:{1,4,5,7}:{(79,1),(80,1),(83,1),(86,1)}
       92:{2,4,5,7}:{(81,1),(82,1),(83,1),(87,1)}
       93:{1,2,5,7}:{(84,1),(85,1),(86,1),(87,1)}
       94:{3,5,6}:{(88,1),(89,1),(97,1)}
       95:{3,4,6,7}:{(88,1),(90,1),(97,1)}
       96:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(92,1),(93,1),(97,1)}
       97:{3,5,7}:{(94,1),(95,1),(96,1)}

2269 :  0:{2,3,4,5,6}:{(3,1),(4,1),(28,1),(76,1),(80,1)}
        1:{1,3,4,5,6}:{(5,1),(6,1),(26,1),(76,1),(79,1)}
        2:{3,4,5,6,7}:{(8,1),(9,1),(33,1),(63,1)}
        3:{2,3,4,5,7}:{(0,1),(10,1),(13,1),(42,1),(63,1),(66,1)}
        4:{1,2,4,5,6}:{(0,1),(13,1),(14,1),(39,1),(85,1),(88,1)}
        5:{1,3,4,5,7}:{(1,1),(11,1),(15,1),(40,1),(63,1),(65,1)}
        6:{1,2,4,5,6}:{(1,1),(15,1),(16,1),(39,1),(86,1),(88,1)}
        7:{1,2,3,4,6,7}:{(17,1),(36,1),(45,1),(64,1),(68,1),(89,1)}
        8:{1,4,5,6,7}:{(2,1),(19,1),(74,1)}
        9:{2,4,5,6,7}:{(2,1),(18,1),(75,1)}
       10:{2,3,4,6,7}:{(3,1),(18,1),(21,1),(48,1)}
       11:{1,3,4,6,7}:{(5,1),(19,1),(22,1),(48,1)}
       12:{1,2,3,5,6,7}:{(23,1),(30,1),(46,1),(47,1),(49,1),(52,1),(78,1)}
       13:{1,2,4,5,7}:{(3,1),(4,1),(21,1),(25,1),(55,1),(74,1),(78,1)}
       14:{1,3,5,6}:{(4,1),(25,1),(26,1)}
       15:{1,2,4,5,7}:{(5,1),(6,1),(22,1),(27,1),(55,1),(75,1),(78,1)}
       16:{2,3,5,6}:{(6,1),(27,1),(28,1)}
       17:{1,2,3,5,7}:{(7,1),(29,1),(30,1),(52,1),(78,1)}
       18:{2,3,5,6,7}:{(9,1),(10,1),(31,1),(33,1),(66,1)}
       19:{1,3,5,6,7}:{(8,1),(11,1),(32,1),(33,1),(65,1)}
       20:{1,2,4,5,6,7}:{(8,1),(9,1),(31,1),(32,1),(33,1),(37,1),(61,1),(62,1),(84,1)}
       21:{1,2,4,6,7}:{(10,1),(13,1),(31,1),(34,1),(61,1)}
       22:{1,2,4,6,7}:{(11,1),(15,1),(32,1),(35,1),(62,1)}
       23:{1,2,4,6,7}:{(12,1),(36,1),(37,1),(45,1),(61,1),(62,1)}
       24:{1,2,3,5,6}:{(14,1),(16,1),(38,1),(39,1),(69,1),(88,1),(89,1)}
       25:{1,3,5,7}:{(13,1),(14,1),(34,1),(40,1)}
       26:{1,3,4,6}:{(14,1),(39,1),(40,1),(41,1)}
       27:{2,3,5,7}:{(15,1),(16,1),(35,1),(42,1)}
       28:{2,3,4,6}:{(16,1),(39,1),(42,1),(43,1)}
       29:{1,2,4,5,7}:{(17,1),(44,1),(45,1)}
       30:{1,2,3,5,6}:{(17,1),(45,1),(67,1),(88,1),(89,1)}
       31:{1,2,5,6,7}:{(18,1),(21,1),(46,1),(78,1)}
       32:{1,2,5,6,7}:{(19,1),(22,1),(47,1),(78,1)}
       33:{3,5,6,7}:{(20,1),(48,1),(52,1),(90,1)}
       34:{1,3,6,7}:{(21,1),(25,1)}
       35:{2,3,6,7}:{(22,1),(27,1)}
       36:{3,4,6,7}:{(23,1),(52,1),(59,1)}
       37:{1,2,4,5,7}:{(23,1),(52,1),(53,1),(74,1),(75,1),(78,1)}
       38:{1,2,3,5,7}:{(24,1),(25,1),(27,1),(49,1),(55,1),(78,1)}
       39:{1,2,4,6}:{(24,1),(26,1),(28,1),(55,1),(56,1)}
       40:{1,3,4,7}:{(25,1),(26,1),(55,1)}
       41:{1,3,4,5}:{(26,1),(56,1)}
       42:{2,3,4,7}:{(27,1),(28,1),(55,1)}
       43:{2,3,4,5}:{(28,1),(56,1)}
       44:{3,4,5,7}:{(29,1),(52,1),(59,1)}
       45:{1,2,4,6}:{(29,1),(30,1),(59,1)}
       46:{1,3,5,6,7}:{(31,1),(33,1),(34,1),(61,1),(65,1)}
       47:{2,3,5,6,7}:{(32,1),(33,1),(35,1),(62,1),(66,1)}
       48:{3,4,6,7}:{(33,1),(61,1),(62,1),(63,1)}
       49:{1,2,3,6,7}:{(34,1),(35,1),(38,1),(64,1),(89,1)}
       50:{1,3,4,6,7}:{(34,1),(36,1),(40,1),(61,1),(64,1),(65,1),(71,1),(83,1)}
       51:{2,3,4,6,7}:{(35,1),(36,1),(42,1),(62,1),(64,1),(66,1),(72,1),(83,1)}
       52:{3,5,7}:{(36,1),(37,1),(67,1)}
       53:{1,2,4,5,6}:{(37,1),(45,1),(67,1),(85,1),(86,1),(88,1)}
       54:{1,2,3,4,6}:{(39,1),(68,1),(69,1),(89,1)}
       55:{1,2,4,7}:{(38,1),(39,1),(40,1),(42,1)}
       56:{1,2,4,5}:{(39,1),(41,1),(43,1),(69,1)}
       57:{1,3,4,5,7}:{(40,1),(41,1),(44,1),(65,1),(70,1),(71,1),(94,1)}
       58:{2,3,4,5,7}:{(42,1),(43,1),(44,1),(66,1),(70,1),(72,1),(94,1)}
       59:{3,4,6}:{(44,1),(45,1),(67,1)}
       60:{1,2,3,5,6,7}:{(46,1),(47,1),(49,1),(73,1),(78,1),(90,1),(93,1)}
       61:{1,4,6,7}:{(46,1),(48,1),(74,1)}
       62:{2,4,6,7}:{(47,1),(48,1),(75,1)}
       63:{3,4,5,7}:{(48,1),(52,1),(74,1),(75,1),(76,1),(90,1)}
       64:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(55,1),(78,1),(82,1)}
       65:{1,3,5,7}:{(50,1),(52,1),(74,1),(78,1),(79,1),(90,1)}
       66:{2,3,5,7}:{(51,1),(52,1),(75,1),(78,1),(80,1),(90,1)}
       67:{3,5,6}:{(52,1),(53,1),(59,1)}
       68:{1,2,3,4,7}:{(54,1),(55,1),(81,1)}
       69:{1,2,3,5}:{(54,1),(56,1)}
       70:{1,2,4,5,7}:{(55,1),(56,1),(57,1),(58,1),(78,1),(81,1),(82,1)}
       71:{1,3,4,6}:{(57,1),(59,1),(79,1),(82,1),(97,1)}
       72:{2,3,4,6}:{(58,1),(59,1),(80,1),(82,1),(97,1)}
       73:{1,2,4,6,7}:{(60,1),(61,1),(62,1),(83,1),(84,1),(96,1)}
       74:{1,4,5,7}:{(61,1),(63,1),(65,1),(85,1)}
       75:{2,4,5,7}:{(62,1),(63,1),(66,1),(86,1)}
       76:{3,4,5,6}:{(63,1),(67,1),(85,1),(86,1),(95,1)}
       77:{1,2,3,4,6,7}:{(64,1),(68,1),(83,1),(87,1),(89,1),(96,1)}
       78:{1,2,5,7}:{(64,1),(65,1),(66,1),(88,1)}
       79:{1,3,5,6}:{(65,1),(67,1),(71,1),(85,1),(88,1),(95,1)}
       80:{2,3,5,6}:{(66,1),(67,1),(72,1),(86,1),(88,1),(95,1)}
       81:{1,2,3,5,7}:{(68,1),(69,1),(70,1),(89,1)}
       82:{1,2,4,6}:{(70,1),(71,1),(72,1),(88,1),(89,1)}
       83:{3,4,6,7}:{(73,1),(90,1),(97,1)}
       84:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(78,1),(90,1),(91,1)}
       85:{1,4,5,6}:{(74,1),(76,1),(79,1)}
       86:{2,4,5,6}:{(75,1),(76,1),(80,1)}
       87:{1,2,3,5,7}:{(77,1),(78,1),(90,1),(92,1),(93,1)}
       88:{1,2,5,6}:{(78,1),(79,1),(80,1),(82,1)}
       89:{1,2,3,6}:{(81,1),(82,1)}
       90:{3,5,7}:{(83,1),(84,1),(95,1)}
       91:{1,2,4,5,6}:{(84,1),(85,1),(86,1),(88,1),(95,1),(96,1)}
       92:{1,2,4,5,7}:{(87,1),(94,1),(96,1)}
       93:{1,2,3,5,6}:{(87,1),(88,1),(89,1),(95,1),(96,1)}
       94:{3,4,5,7}:{(90,1),(92,1),(97,1)}
       95:{3,5,6}:{(90,1),(91,1),(97,1)}
       96:{1,2,4,6}:{(92,1),(93,1),(97,1)}
       97:{3,4,6}:{(94,1),(95,1),(96,1)}

2270 :  0:{1,2,3,4,5,7}:{(1,1),(5,1),(9,1),(24,1)}
        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),(24,1),(40,1)}
        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:{3,4,5,6}:{(4,1),(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),(22,1),(39,1),(40,1)}
        9:{1,2,3,4,5}:{(16,1)}
       10:{1,3,4,5,6}:{(6,1),(17,1),(18,1),(41,1)}
       11:{2,3,4,5,6}:{(6,1),(17,1),(19,1),(41,1)}
       12:{3,4,5,7}:{(6,1),(7,1),(20,1)}
       13:{1,2,4,6,7}:{(7,1),(8,1),(20,1)}
       14:{1,2,3,4,5,7}:{(9,1),(21,1),(24,1),(38,1)}
       15:{1,2,4,5,6,7}:{(13,1),(22,1),(35,1),(36,1),(39,1)}
       16:{1,2,3,4,6}:{(9,1),(23,1),(24,1)}
       17:{1,2,4,5,6}:{(10,1),(11,1),(23,1),(25,1)}
       18:{1,3,4,5,7}:{(10,1),(12,1),(25,1),(26,1),(45,1)}
       19:{2,3,4,5,7}:{(11,1),(12,1),(25,1),(27,1),(45,1)}
       20:{3,4,6,7}:{(12,1),(13,1),(22,1)}
       21:{1,2,3,4,6}:{(14,1),(29,1)}
       22:{3,5,6,7}:{(15,1),(20,1)}
       23:{1,2,3,5,6}:{(16,1),(17,1),(33,1)}
       24:{1,2,3,4,7}:{(16,1),(33,1)}
       25:{1,2,4,5,7}:{(17,1),(18,1),(19,1),(33,1),(34,1)}
       26:{1,3,4,6,7}:{(18,1),(20,1),(31,1),(34,1),(48,1)}
       27:{2,3,4,6,7}:{(19,1),(20,1),(32,1),(34,1),(48,1)}
       28:{3,4,5,6,7}:{(22,1),(35,1),(36,1),(46,1)}
       29:{1,2,3,5,6}:{(21,1),(37,1),(38,1)}
       30:{1,2,3,4,6,7}:{(21,1),(24,1),(38,1),(40,1),(47,1)}
       31:{1,3,5,6,7}:{(22,1),(26,1),(35,1),(39,1),(46,1)}
       32:{2,3,5,6,7}:{(22,1),(27,1),(36,1),(39,1),(46,1)}
       33:{1,2,3,5,7}:{(23,1),(24,1),(25,1),(40,1)}
       34:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(39,1),(40,1)}
       35:{1,4,5,6,7}:{(28,1),(31,1)}
       36:{2,4,5,6,7}:{(28,1),(32,1)}
       37:{1,2,4,5,6}:{(29,1),(41,1),(43,1)}
       38:{1,2,3,5,7}:{(29,1),(30,1),(43,1)}
       39:{1,2,5,6,7}:{(31,1),(32,1),(34,1)}
       40:{1,2,3,6,7}:{(33,1),(34,1)}
       41:{3,4,5,6}:{(37,1),(45,1)}
       42:{1,2,4,5,6,7}:{(35,1),(36,1),(39,1),(46,1),(47,1)}
       43:{1,2,4,5,7}:{(37,1),(38,1),(45,1),(47,1)}
       44:{1,2,3,5,6,7}:{(38,1),(39,1),(40,1),(46,1),(47,1)}
       45:{3,4,5,7}:{(41,1),(43,1),(48,1)}
       46:{3,5,6,7}:{(42,1),(48,1)}
       47:{1,2,4,6,7}:{(43,1),(44,1),(48,1)}
       48:{3,4,6,7}:{(45,1),(46,1),(47,1)}

2271 :  0:{2,3,4,5,7}:{(3,1),(4,1),(18,1),(37,1),(69,1)}
        1:{1,3,4,5,7}:{(3,1),(5,1),(20,1),(37,1),(69,1)}
        2:{1,2,3,4,7}:{(6,1),(7,1),(54,1),(83,1)}
        3:{1,2,4,5,7}:{(0,1),(1,1),(7,1),(8,1),(23,1),(27,1),(54,1)}
        4:{2,3,4,6}:{(0,1),(8,1),(9,1),(53,1)}
        5:{1,3,4,6}:{(1,1),(8,1),(11,1),(53,1)}
        6:{1,2,3,4,6}:{(2,1),(13,1),(14,1),(38,1),(65,1),(81,1)}
        7:{1,2,3,5,7}:{(2,1),(3,1),(13,1),(14,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(5,1),(14,1),(15,1)}
        9:{2,3,5,6}:{(4,1),(15,1),(17,1),(18,1),(40,1)}
       10:{2,3,4,6,7}:{(4,1),(16,1),(18,1),(35,1),(62,1),(69,1)}
       11:{1,3,5,6}:{(5,1),(15,1),(19,1),(20,1),(40,1)}
       12:{1,3,4,6,7}:{(5,1),(16,1),(20,1),(36,1),(62,1),(69,1)}
       13:{1,2,3,5}:{(6,1),(23,1)}
       14:{1,2,3,6}:{(7,1),(8,1)}
       15:{1,2,5,6}:{(8,1),(9,1),(11,1),(27,1)}
       16:{1,2,4,6,7}:{(8,1),(10,1),(12,1),(25,1),(27,1),(54,1)}
       17:{2,4,5,6}:{(9,1),(28,1),(29,1)}
       18:{2,3,5,7}:{(9,1),(10,1),(27,1),(29,1),(57,1)}
       19:{1,4,5,6}:{(11,1),(30,1),(31,1)}
       20:{1,3,5,7}:{(11,1),(12,1),(27,1),(31,1),(57,1)}
       21:{2,3,5,6,7}:{(18,1),(34,1),(35,1),(46,1),(62,1)}
       22:{1,3,5,6,7}:{(20,1),(34,1),(36,1),(47,1),(62,1)}
       23:{1,2,4,5}:{(13,1),(37,1),(38,1)}
       24:{1,2,3,5,6}:{(13,1),(14,1),(15,1),(38,1),(39,1),(40,1),(70,1),(81,1)}
       25:{1,2,3,6,7}:{(14,1),(16,1),(39,1),(62,1),(80,1)}
       26:{1,2,4,5,6}:{(15,1),(17,1),(19,1),(38,1),(40,1),(41,1),(42,1),(44,1),(70,1)}
       27:{1,2,5,7}:{(15,1),(16,1),(18,1),(20,1)}
       28:{3,4,5,6}:{(17,1),(40,1),(42,1),(43,1)}
       29:{2,4,5,7}:{(17,1),(18,1),(35,1),(43,1)}
       30:{3,4,5,6}:{(19,1),(40,1),(44,1),(45,1)}
       31:{1,4,5,7}:{(19,1),(20,1),(36,1),(45,1)}
       32:{2,4,5,6,7}:{(35,1),(46,1)}
       33:{1,4,5,6,7}:{(36,1),(47,1)}
       34:{1,2,5,6,7}:{(21,1),(22,1),(27,1),(48,1),(60,1),(61,1)}
       35:{2,4,6,7}:{(21,1),(29,1),(49,1)}
       36:{1,4,6,7}:{(22,1),(31,1),(50,1)}
       37:{3,4,5}:{(23,1),(53,1)}
       38:{1,2,4,6}:{(23,1),(24,1),(53,1),(54,1)}
       39:{1,2,3,5,7}:{(24,1),(25,1),(27,1),(54,1),(57,1),(79,1),(83,1)}
       40:{3,5,6}:{(26,1),(53,1),(57,1)}
       41:{1,2,4,5,7}:{(26,1),(27,1),(29,1),(31,1),(48,1),(54,1),(57,1),(58,1),(59,1),(79,1)}
       42:{1,4,5,6}:{(28,1),(56,1),(58,1)}
       43:{3,4,5,7}:{(28,1),(29,1),(49,1),(57,1),(58,1)}
       44:{2,4,5,6}:{(30,1),(55,1),(59,1)}
       45:{3,4,5,7}:{(30,1),(31,1),(50,1),(57,1),(59,1)}
       46:{3,5,6,7}:{(32,1),(49,1),(60,1)}
       47:{3,5,6,7}:{(33,1),(50,1),(61,1)}
       48:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(41,1),(62,1),(63,1),(64,1),(80,1)}
       49:{3,4,6,7}:{(35,1),(43,1),(46,1),(62,1),(63,1)}
       50:{3,4,6,7}:{(36,1),(45,1),(47,1),(62,1),(64,1)}
       51:{2,3,4,5}:{(37,1),(66,1),(67,1)}
       52:{1,3,4,5}:{(37,1),(66,1),(68,1)}
       53:{3,4,6}:{(37,1),(38,1),(40,1),(69,1)}
       54:{1,2,4,7}:{(38,1),(39,1),(69,1)}
       55:{2,3,5,6}:{(40,1),(44,1),(67,1),(70,1),(71,1)}
       56:{1,3,5,6}:{(40,1),(42,1),(68,1),(70,1),(72,1)}
       57:{3,5,7}:{(40,1),(41,1),(62,1),(69,1)}
       58:{1,4,5,7}:{(42,1),(43,1),(63,1),(72,1)}
       59:{2,4,5,7}:{(44,1),(45,1),(64,1),(71,1)}
       60:{1,5,6,7}:{(46,1),(63,1)}
       61:{2,5,6,7}:{(47,1),(64,1)}
       62:{3,6,7}:{(48,1),(57,1)}
       63:{1,4,6,7}:{(49,1),(58,1),(60,1),(74,1)}
       64:{2,4,6,7}:{(50,1),(59,1),(61,1),(73,1)}
       65:{1,2,3,4}:{(75,1)}
       66:{1,2,4,5}:{(51,1),(52,1),(75,1),(76,1)}
       67:{2,3,4,6}:{(51,1),(53,1),(55,1),(76,1),(77,1)}
       68:{1,3,4,6}:{(52,1),(53,1),(56,1),(76,1),(78,1)}
       69:{3,4,7}:{(53,1),(54,1),(57,1)}
       70:{1,2,5,6}:{(55,1),(56,1),(76,1),(79,1)}
       71:{2,3,5,7}:{(55,1),(57,1),(59,1),(73,1),(77,1),(79,1)}
       72:{1,3,5,7}:{(56,1),(57,1),(58,1),(74,1),(78,1),(79,1)}
       73:{2,3,6,7}:{(62,1),(64,1),(71,1),(80,1)}
       74:{1,3,6,7}:{(62,1),(63,1),(72,1),(80,1)}
       75:{1,2,3,5}:{(65,1),(66,1),(81,1)}
       76:{1,2,4,6}:{(66,1),(67,1),(68,1),(70,1),(81,1),(82,1)}
       77:{2,3,4,7}:{(67,1),(69,1),(71,1),(82,1)}
       78:{1,3,4,7}:{(68,1),(69,1),(72,1),(82,1)}
       79:{1,2,5,7}:{(70,1),(71,1),(72,1),(80,1),(82,1)}
       80:{1,2,6,7}:{(73,1),(74,1),(79,1)}
       81:{1,2,3,6}:{(75,1),(76,1),(83,1)}
       82:{1,2,4,7}:{(76,1),(77,1),(78,1),(79,1),(83,1)}
       83:{1,2,3,7}:{(81,1),(82,1)}

2272 :  0:{1,2,3,4,7}:{(1,1),(2,1),(32,1),(82,1)}
        1:{1,2,3,4,6}:{(0,1),(6,1),(7,1),(21,1),(44,1),(75,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        3:{1,3,4,5,7}:{(5,1),(8,1),(20,1),(24,1),(48,1)}
        4:{2,3,4,5,7}:{(5,1),(9,1),(20,1),(26,1),(48,1)}
        5:{1,2,4,5,7}:{(2,1),(3,1),(4,1),(10,1),(11,1),(28,1),(32,1)}
        6:{1,2,3,5}:{(1,1),(11,1)}
        7:{1,2,3,6}:{(2,1),(10,1)}
        8:{1,3,4,6}:{(3,1),(10,1),(14,1),(31,1)}
        9:{2,3,4,6}:{(4,1),(10,1),(16,1),(31,1)}
       10:{1,2,4,6}:{(5,1),(7,1),(8,1),(9,1),(18,1)}
       11:{1,2,4,5}:{(6,1),(20,1),(21,1)}
       12:{1,2,3,5,6}:{(6,1),(7,1),(18,1),(21,1),(22,1),(42,1),(72,1),(75,1)}
       13:{1,2,3,6,7}:{(7,1),(19,1),(22,1),(71,1),(83,1)}
       14:{1,3,5,6}:{(8,1),(18,1),(23,1),(24,1),(42,1)}
       15:{1,3,4,6,7}:{(8,1),(19,1),(24,1),(48,1),(49,1),(71,1)}
       16:{2,3,5,6}:{(9,1),(18,1),(25,1),(26,1),(42,1)}
       17:{2,3,4,6,7}:{(9,1),(19,1),(26,1),(48,1),(52,1),(71,1)}
       18:{1,2,5,6}:{(10,1),(14,1),(16,1),(28,1)}
       19:{1,2,4,6,7}:{(10,1),(13,1),(15,1),(17,1),(28,1),(32,1)}
       20:{3,4,5}:{(11,1),(31,1)}
       21:{1,2,4,6}:{(11,1),(12,1),(31,1),(32,1)}
       22:{1,2,3,5,7}:{(12,1),(13,1),(28,1),(32,1),(60,1),(81,1),(82,1)}
       23:{1,4,5,6}:{(14,1),(34,1),(35,1)}
       24:{1,3,5,7}:{(14,1),(15,1),(28,1),(35,1),(60,1)}
       25:{2,4,5,6}:{(16,1),(37,1),(38,1)}
       26:{2,3,5,7}:{(16,1),(17,1),(28,1),(38,1),(60,1)}
       27:{1,2,4,5,6}:{(18,1),(21,1),(23,1),(25,1),(42,1),(43,1),(50,1),(53,1),(72,1)}
       28:{1,2,5,7}:{(18,1),(19,1),(24,1),(26,1)}
       29:{2,3,4,5}:{(20,1),(45,1),(46,1)}
       30:{1,3,4,5}:{(20,1),(45,1),(47,1)}
       31:{3,4,6}:{(20,1),(21,1),(42,1),(48,1)}
       32:{1,2,4,7}:{(21,1),(22,1),(48,1)}
       33:{1,3,5,6,7}:{(24,1),(41,1),(49,1),(56,1),(71,1)}
       34:{3,4,5,6}:{(23,1),(42,1),(50,1),(51,1)}
       35:{1,4,5,7}:{(23,1),(24,1),(49,1),(51,1)}
       36:{2,3,5,6,7}:{(26,1),(41,1),(52,1),(55,1),(71,1)}
       37:{3,4,5,6}:{(25,1),(42,1),(53,1),(54,1)}
       38:{2,4,5,7}:{(25,1),(26,1),(52,1),(54,1)}
       39:{2,4,5,6,7}:{(52,1),(55,1)}
       40:{1,4,5,6,7}:{(49,1),(56,1)}
       41:{1,2,5,6,7}:{(28,1),(33,1),(36,1),(57,1),(69,1),(70,1)}
       42:{3,5,6}:{(27,1),(31,1),(60,1)}
       43:{1,2,4,5,7}:{(27,1),(28,1),(32,1),(35,1),(38,1),(57,1),(60,1),(66,1),(68,1),(81,1)}
       44:{1,2,3,4}:{(61,1)}
       45:{1,2,4,5}:{(29,1),(30,1),(61,1),(62,1)}
       46:{2,3,4,6}:{(29,1),(31,1),(58,1),(62,1),(63,1)}
       47:{1,3,4,6}:{(30,1),(31,1),(59,1),(62,1),(64,1)}
       48:{3,4,7}:{(31,1),(32,1),(60,1)}
       49:{1,4,6,7}:{(33,1),(35,1),(65,1)}
       50:{2,4,5,6}:{(34,1),(58,1),(66,1)}
       51:{3,4,5,7}:{(34,1),(35,1),(60,1),(65,1),(66,1)}
       52:{2,4,6,7}:{(36,1),(38,1),(67,1)}
       53:{1,4,5,6}:{(37,1),(59,1),(68,1)}
       54:{3,4,5,7}:{(37,1),(38,1),(60,1),(67,1),(68,1)}
       55:{3,5,6,7}:{(39,1),(67,1),(69,1)}
       56:{3,5,6,7}:{(40,1),(65,1),(70,1)}
       57:{1,2,4,6,7}:{(41,1),(43,1),(49,1),(52,1),(71,1),(77,1),(78,1),(83,1)}
       58:{2,3,5,6}:{(42,1),(46,1),(50,1),(72,1),(73,1)}
       59:{1,3,5,6}:{(42,1),(47,1),(53,1),(72,1),(74,1)}
       60:{3,5,7}:{(42,1),(43,1),(48,1),(71,1)}
       61:{1,2,3,5}:{(44,1),(45,1),(75,1)}
       62:{1,2,4,6}:{(45,1),(46,1),(47,1),(72,1),(75,1),(76,1)}
       63:{2,3,4,7}:{(46,1),(48,1),(73,1),(76,1)}
       64:{1,3,4,7}:{(47,1),(48,1),(74,1),(76,1)}
       65:{3,4,6,7}:{(49,1),(51,1),(56,1),(71,1),(77,1)}
       66:{2,4,5,7}:{(50,1),(51,1),(73,1),(77,1)}
       67:{3,4,6,7}:{(52,1),(54,1),(55,1),(71,1),(78,1)}
       68:{1,4,5,7}:{(53,1),(54,1),(74,1),(78,1)}
       69:{1,5,6,7}:{(55,1),(78,1)}
       70:{2,5,6,7}:{(56,1),(77,1)}
       71:{3,6,7}:{(57,1),(60,1)}
       72:{1,2,5,6}:{(58,1),(59,1),(62,1),(81,1)}
       73:{2,3,5,7}:{(58,1),(60,1),(63,1),(66,1),(79,1),(81,1)}
       74:{1,3,5,7}:{(59,1),(60,1),(64,1),(68,1),(80,1),(81,1)}
       75:{1,2,3,6}:{(61,1),(62,1),(82,1)}
       76:{1,2,4,7}:{(62,1),(63,1),(64,1),(81,1),(82,1)}
       77:{2,4,6,7}:{(65,1),(66,1),(70,1),(79,1)}
       78:{1,4,6,7}:{(67,1),(68,1),(69,1),(80,1)}
       79:{2,3,6,7}:{(71,1),(73,1),(77,1),(83,1)}
       80:{1,3,6,7}:{(71,1),(74,1),(78,1),(83,1)}
       81:{1,2,5,7}:{(72,1),(73,1),(74,1),(76,1),(83,1)}
       82:{1,2,3,7}:{(75,1),(76,1)}
       83:{1,2,6,7}:{(79,1),(80,1),(81,1)}

2273 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{1,3,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{1,3,4,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,2,4,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{1,3,4,5,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,4,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,2,4,5,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{1,3,4,5,6}:{(6,1),(12,1),(27,1)}
       10:{1,2,3,4,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,3,5,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6}:{(8,1),(9,1),(16,1),(23,1)}
       13:{1,3,4,5,6,7}:{(9,1),(17,1),(32,1)}
       14:{1,2,3,5,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,5,7}:{(11,1),(18,1),(20,1)}
       16:{2,3,5,6}:{(11,1),(12,1),(20,1)}
       17:{1,2,4,5,6,7}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,2,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(14,1),(16,1),(23,1),(31,1)}
       20:{2,3,4,6}:{(15,1),(16,1),(23,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(26,1)}
       22:{1,3,4,5,7}:{(18,1),(27,1),(34,1)}
       23:{1,2,4,6}:{(18,1),(19,1),(20,1),(27,1)}
       24:{1,2,3,5,6,7}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,6}:{(20,1),(28,1),(30,1)}
       26:{2,3,4,6,7}:{(20,1),(21,1),(29,1),(30,1)}
       27:{1,3,4,6}:{(22,1),(23,1),(31,1)}
       28:{1,2,4,5,6}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,5,7}:{(25,1),(26,1),(33,1)}
       31:{1,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{1,3,4,6,7}:{(27,1),(29,1),(34,1)}
       33:{1,2,4,5,7}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,3,5,7}:{(31,1),(32,1),(33,1)}

2274 :   0:{1,3,4,5,6}:{(3,1),(4,1),(27,1),(56,1),(82,1)}
         1:{2,3,4,5,6}:{(5,1),(6,1),(22,1),(51,1),(87,1)}
         2:{1,2,3,4,6}:{(7,1),(8,1),(32,1),(34,1)}
         3:{1,2,4,5,6}:{(0,1),(10,1),(11,1),(32,1),(61,1),(66,1)}
         4:{1,3,4,5,7}:{(0,1),(11,1),(12,1),(42,1),(72,1),(101,1)}
         5:{1,2,4,5,6}:{(1,1),(14,1),(15,1),(32,1),(61,1),(71,1)}
         6:{2,3,4,5,7}:{(1,1),(15,1),(16,1),(37,1),(67,1),(107,1)}
         7:{1,2,3,4,7}:{(2,1),(19,1),(47,1)}
         8:{1,2,3,5}:{(2,1),(17,1)}
         9:{2,3,4,5}:{(17,1),(22,1)}
        10:{2,3,5,6}:{(3,1),(22,1),(23,1)}
        11:{1,2,4,5,7}:{(3,1),(4,1),(23,1),(24,1),(47,1),(77,1),(83,1)}
        12:{1,3,4,6,7}:{(4,1),(24,1),(25,1),(84,1)}
        13:{1,3,4,5}:{(17,1),(27,1)}
        14:{1,3,5,6}:{(5,1),(27,1),(28,1)}
        15:{1,2,4,5,7}:{(5,1),(6,1),(28,1),(29,1),(47,1),(77,1),(88,1)}
        16:{2,3,4,6,7}:{(6,1),(29,1),(30,1),(89,1)}
        17:{1,2,4,5}:{(8,1),(9,1),(13,1),(32,1)}
        18:{1,2,3,4,6,7}:{(7,1),(33,1),(34,1),(62,1),(64,1),(94,1),(98,1),(131,1),(132,1)}
        19:{1,2,3,5,7}:{(7,1),(8,1),(31,1),(34,1)}
        20:{1,2,3,5,6}:{(8,1),(10,1),(14,1),(32,1),(34,1),(35,1),(61,1)}
        21:{2,3,4,5,7}:{(9,1),(31,1),(36,1),(37,1),(63,1),(67,1)}
        22:{2,3,4,6}:{(9,1),(10,1),(32,1),(37,1)}
        23:{2,3,5,7}:{(10,1),(11,1),(37,1),(38,1)}
        24:{1,2,4,6,7}:{(11,1),(12,1),(38,1),(39,1),(68,1)}
        25:{1,3,5,6,7}:{(12,1),(39,1),(40,1),(69,1),(72,1)}
        26:{1,3,4,5,7}:{(13,1),(31,1),(41,1),(42,1),(63,1),(72,1)}
        27:{1,3,4,6}:{(13,1),(14,1),(32,1),(42,1)}
        28:{1,3,5,7}:{(14,1),(15,1),(42,1),(43,1)}
        29:{1,2,4,6,7}:{(15,1),(16,1),(43,1),(44,1),(73,1)}
        30:{2,3,5,6,7}:{(16,1),(44,1),(45,1),(67,1),(74,1)}
        31:{1,2,4,5,7}:{(17,1),(19,1),(21,1),(26,1),(46,1),(47,1),(77,1)}
        32:{1,2,4,6}:{(17,1),(20,1),(22,1),(27,1),(47,1)}
        33:{1,2,3,5,7}:{(18,1),(48,1),(49,1),(77,1),(114,1),(143,1)}
        34:{1,2,3,6}:{(19,1),(46,1)}
        35:{1,2,3,5,7}:{(20,1),(23,1),(28,1),(47,1),(50,1),(77,1)}
        36:{2,3,4,6}:{(21,1),(46,1),(51,1),(80,1)}
        37:{2,3,4,7}:{(22,1),(23,1),(47,1)}
        38:{2,3,6,7}:{(23,1),(24,1)}
        39:{1,2,5,6,7}:{(24,1),(25,1),(53,1),(77,1)}
        40:{1,4,5,6,7}:{(25,1),(55,1),(88,1)}
        41:{1,3,4,6}:{(26,1),(46,1),(56,1),(80,1)}
        42:{1,3,4,7}:{(27,1),(28,1),(47,1)}
        43:{1,3,6,7}:{(28,1),(29,1)}
        44:{1,2,5,6,7}:{(29,1),(30,1),(58,1),(77,1)}
        45:{2,4,5,6,7}:{(30,1),(60,1),(83,1)}
        46:{1,2,4,6}:{(31,1),(34,1),(36,1),(41,1),(61,1)}
        47:{1,2,4,7}:{(32,1),(35,1),(37,1),(42,1)}
        48:{1,2,4,5,7}:{(33,1),(63,1),(64,1)}
        49:{1,2,3,5,6}:{(33,1),(34,1),(61,1),(64,1),(92,1),(128,1),(131,1)}
        50:{1,2,3,6,7}:{(34,1),(35,1),(38,1),(43,1),(62,1)}
        51:{2,3,5,6}:{(36,1),(61,1),(66,1),(67,1),(92,1)}
        52:{2,3,4,6,7}:{(36,1),(37,1),(38,1),(62,1),(67,1),(68,1),(98,1)}
        53:{2,3,5,6,7}:{(38,1),(39,1),(67,1),(68,1),(69,1)}
        54:{1,2,4,5,6,7}:{(39,1),(40,1),(68,1),(69,1),(70,1),(93,1),(103,1),(104,1)}
        55:{3,4,5,6,7}:{(40,1),(69,1),(70,1),(107,1)}
        56:{1,3,5,6}:{(41,1),(61,1),(71,1),(72,1),(92,1)}
        57:{1,3,4,6,7}:{(41,1),(42,1),(43,1),(62,1),(72,1),(73,1),(98,1)}
        58:{1,3,5,6,7}:{(43,1),(44,1),(72,1),(73,1),(74,1)}
        59:{1,2,4,5,6,7}:{(44,1),(45,1),(73,1),(74,1),(75,1),(93,1),(108,1),(110,1)}
        60:{3,4,5,6,7}:{(45,1),(74,1),(75,1),(101,1)}
        61:{1,2,5,6}:{(46,1),(51,1),(56,1),(77,1)}
        62:{1,2,4,6,7}:{(46,1),(47,1),(50,1),(52,1),(57,1),(77,1)}
        63:{3,4,5,7}:{(48,1),(80,1),(114,1)}
        64:{1,2,4,6}:{(48,1),(49,1),(80,1)}
        65:{1,2,3,5,6,7}:{(49,1),(50,1),(53,1),(58,1),(77,1),(81,1),(86,1),(90,1),(114,1),(143,1),(144,1)}
        66:{2,4,5,6}:{(51,1),(82,1),(83,1)}
        67:{2,3,5,7}:{(51,1),(52,1),(77,1),(83,1),(114,1)}
        68:{2,4,6,7}:{(53,1),(83,1),(84,1)}
        69:{3,5,6,7}:{(54,1),(84,1),(114,1)}
        70:{2,4,5,6,7}:{(55,1),(85,1),(124,1)}
        71:{1,4,5,6}:{(56,1),(87,1),(88,1)}
        72:{1,3,5,7}:{(56,1),(57,1),(77,1),(88,1),(114,1)}
        73:{1,4,6,7}:{(58,1),(88,1),(89,1)}
        74:{3,5,6,7}:{(59,1),(89,1),(114,1)}
        75:{1,4,5,6,7}:{(60,1),(91,1),(121,1)}
        76:{1,2,4,5,6}:{(61,1),(64,1),(66,1),(71,1),(92,1),(93,1),(100,1),(105,1),(128,1)}
        77:{1,2,5,7}:{(61,1),(62,1),(67,1),(72,1)}
        78:{2,3,4,5,7}:{(63,1),(95,1),(96,1),(129,1),(137,1),(152,1)}
        79:{1,3,4,5,7}:{(63,1),(95,1),(97,1),(130,1),(133,1),(151,1)}
        80:{3,4,6}:{(63,1),(64,1),(92,1)}
        81:{1,2,4,6,7}:{(64,1),(65,1),(68,1),(73,1),(93,1),(98,1),(103,1),(108,1)}
        82:{3,4,5,6}:{(66,1),(92,1),(100,1),(101,1)}
        83:{2,4,5,7}:{(66,1),(67,1),(68,1),(101,1)}
        84:{3,4,6,7}:{(68,1),(69,1),(101,1),(103,1)}
        85:{2,3,5,6,7}:{(69,1),(70,1),(102,1),(104,1),(129,1)}
        86:{1,3,5,6,7}:{(69,1),(103,1),(104,1),(130,1),(136,1)}
        87:{3,4,5,6}:{(71,1),(92,1),(105,1),(107,1)}
        88:{1,4,5,7}:{(71,1),(72,1),(73,1),(107,1)}
        89:{3,4,6,7}:{(73,1),(74,1),(107,1),(108,1)}
        90:{2,3,5,6,7}:{(74,1),(108,1),(110,1),(129,1),(140,1)}
        91:{1,3,5,6,7}:{(74,1),(75,1),(109,1),(110,1),(130,1)}
        92:{3,5,6}:{(76,1),(80,1),(114,1)}
        93:{1,2,4,5,7}:{(76,1),(77,1),(81,1),(83,1),(88,1),(114,1),(121,1),(124,1),(143,1)}
        94:{1,2,3,4,7}:{(111,1),(115,1),(153,1)}
        95:{1,2,4,5,7}:{(78,1),(79,1),(115,1),(116,1),(141,1),(143,1),(153,1)}
        96:{2,3,4,6}:{(78,1),(80,1),(112,1),(116,1)}
        97:{1,3,4,6}:{(79,1),(80,1),(113,1),(116,1)}
        98:{3,4,6,7}:{(80,1),(81,1),(114,1)}
        99:{2,3,4,5,6}:{(82,1),(112,1),(119,1),(120,1),(147,1)}
       100:{1,4,5,6}:{(82,1),(113,1),(121,1)}
       101:{3,4,5,7}:{(82,1),(83,1),(84,1),(114,1),(121,1)}
       102:{2,3,4,6,7}:{(84,1),(85,1),(120,1),(122,1)}
       103:{1,4,6,7}:{(84,1),(86,1),(121,1)}
       104:{1,2,5,6,7}:{(85,1),(86,1),(122,1),(143,1)}
       105:{2,4,5,6}:{(87,1),(112,1),(124,1)}
       106:{1,3,4,5,6}:{(87,1),(113,1),(123,1),(125,1),(145,1)}
       107:{3,4,5,7}:{(87,1),(88,1),(89,1),(114,1),(124,1)}
       108:{2,4,6,7}:{(89,1),(90,1),(124,1)}
       109:{1,3,4,6,7}:{(89,1),(91,1),(125,1),(126,1)}
       110:{1,2,5,6,7}:{(90,1),(91,1),(126,1),(143,1)}
       111:{1,2,3,4,6}:{(94,1),(127,1),(131,1),(149,1)}
       112:{2,3,5,6}:{(92,1),(96,1),(105,1),(128,1),(129,1)}
       113:{1,3,5,6}:{(92,1),(97,1),(100,1),(128,1),(130,1)}
       114:{3,5,7}:{(92,1),(93,1),(98,1)}
       115:{1,2,3,5,7}:{(94,1),(95,1),(127,1),(131,1)}
       116:{1,2,4,6}:{(95,1),(96,1),(97,1),(128,1),(131,1)}
       117:{2,3,4,6,7}:{(96,1),(98,1),(108,1),(129,1),(132,1),(140,1),(152,1)}
       118:{1,3,4,6,7}:{(97,1),(98,1),(103,1),(130,1),(132,1),(136,1),(151,1)}
       119:{1,2,4,5,6}:{(99,1),(100,1),(128,1),(134,1),(135,1),(149,1)}
       120:{2,3,4,5,7}:{(99,1),(101,1),(102,1),(129,1),(135,1),(152,1)}
       121:{1,4,5,7}:{(100,1),(101,1),(103,1),(130,1)}
       122:{1,2,4,6,7}:{(102,1),(103,1),(104,1),(135,1),(136,1)}
       123:{1,2,4,5,6}:{(105,1),(106,1),(128,1),(138,1),(139,1),(149,1)}
       124:{2,4,5,7}:{(105,1),(107,1),(108,1),(129,1)}
       125:{1,3,4,5,7}:{(106,1),(107,1),(109,1),(130,1),(139,1),(151,1)}
       126:{1,2,4,6,7}:{(108,1),(109,1),(110,1),(139,1),(140,1)}
       127:{1,2,3,5}:{(111,1),(141,1)}
       128:{1,2,5,6}:{(112,1),(113,1),(116,1),(143,1)}
       129:{2,3,5,7}:{(112,1),(114,1),(117,1),(124,1),(143,1)}
       130:{1,3,5,7}:{(113,1),(114,1),(118,1),(121,1),(143,1)}
       131:{1,2,3,6}:{(115,1),(116,1)}
       132:{1,2,4,6,7}:{(116,1),(117,1),(118,1),(143,1),(144,1),(153,1)}
       133:{1,3,4,5}:{(141,1),(145,1)}
       134:{1,3,5,6}:{(119,1),(145,1),(146,1)}
       135:{1,2,4,5,7}:{(119,1),(120,1),(121,1),(122,1),(143,1),(146,1),(153,1)}
       136:{1,3,6,7}:{(122,1),(146,1)}
       137:{2,3,4,5}:{(141,1),(147,1)}
       138:{2,3,5,6}:{(123,1),(147,1),(148,1)}
       139:{1,2,4,5,7}:{(123,1),(124,1),(125,1),(126,1),(143,1),(148,1),(153,1)}
       140:{2,3,6,7}:{(126,1),(148,1)}
       141:{1,2,4,5}:{(127,1),(133,1),(137,1),(149,1)}
       142:{1,2,3,5,6}:{(127,1),(128,1),(131,1),(134,1),(138,1),(149,1),(150,1)}
       143:{1,2,5,7}:{(128,1),(129,1),(130,1),(132,1)}
       144:{1,2,3,6,7}:{(131,1),(132,1),(136,1),(140,1),(150,1)}
       145:{1,3,4,6}:{(133,1),(134,1),(149,1),(151,1)}
       146:{1,3,5,7}:{(134,1),(135,1),(136,1),(151,1)}
       147:{2,3,4,6}:{(137,1),(138,1),(149,1),(152,1)}
       148:{2,3,5,7}:{(138,1),(139,1),(140,1),(152,1)}
       149:{1,2,4,6}:{(141,1),(142,1),(145,1),(147,1),(153,1)}
       150:{1,2,3,5,7}:{(142,1),(143,1),(144,1),(146,1),(148,1),(153,1)}
       151:{1,3,4,7}:{(145,1),(146,1),(153,1)}
       152:{2,3,4,7}:{(147,1),(148,1),(153,1)}
       153:{1,2,4,7}:{(149,1),(150,1),(151,1),(152,1)}

2275 :   0:{1,3,4,5,6}:{(2,1),(3,1),(23,1),(101,1),(133,1)}
         1:{2,3,4,5,6}:{(4,1),(5,1),(18,1),(97,1),(135,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(40,1),(80,1),(116,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(25,1),(106,1),(117,1)}
         4:{2,3,4,5,7}:{(1,1),(9,1),(10,1),(34,1),(75,1),(119,1)}
         5:{1,2,4,5,6}:{(1,1),(10,1),(11,1),(25,1),(106,1),(120,1)}
         6:{1,3,4,6,7}:{(2,1),(15,1),(16,1),(95,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(43,1),(85,1),(96,1)}
         8:{2,3,5,6}:{(3,1),(17,1),(18,1)}
         9:{2,3,4,6,7}:{(4,1),(20,1),(21,1),(99,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(21,1),(22,1),(43,1),(85,1),(100,1)}
        11:{1,3,5,6}:{(5,1),(22,1),(23,1)}
        12:{1,2,3,5,6}:{(8,1),(11,1),(24,1),(25,1),(29,1),(71,1),(106,1)}
        13:{1,2,3,4,6}:{(25,1),(28,1),(29,1),(71,1)}
        14:{3,4,5,6,7}:{(30,1),(31,1),(73,1),(119,1)}
        15:{1,3,5,6,7}:{(6,1),(30,1),(32,1),(73,1),(80,1)}
        16:{1,2,4,6,7}:{(6,1),(7,1),(32,1),(33,1),(74,1)}
        17:{2,3,5,7}:{(7,1),(8,1),(33,1),(34,1)}
        18:{2,3,4,6}:{(8,1),(25,1),(34,1),(35,1)}
        19:{3,4,5,6,7}:{(36,1),(37,1),(78,1),(116,1)}
        20:{2,3,5,6,7}:{(9,1),(37,1),(38,1),(75,1),(78,1)}
        21:{1,2,4,6,7}:{(9,1),(10,1),(38,1),(39,1),(79,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(39,1),(40,1)}
        23:{1,3,4,6}:{(11,1),(25,1),(40,1),(41,1)}
        24:{1,2,3,5,7}:{(12,1),(17,1),(22,1),(42,1),(43,1),(85,1)}
        25:{1,2,4,6}:{(12,1),(18,1),(23,1),(43,1),(44,1)}
        26:{2,3,4,5,6}:{(45,1),(46,1),(91,1),(133,1),(149,1)}
        27:{1,3,4,5,6}:{(47,1),(48,1),(89,1),(135,1),(148,1)}
        28:{1,2,3,4,7}:{(13,1),(43,1),(50,1)}
        29:{1,2,3,5}:{(13,1),(44,1)}
        30:{1,4,5,6,7}:{(14,1),(15,1),(100,1)}
        31:{2,4,5,6,7}:{(14,1),(51,1),(134,1)}
        32:{1,2,5,6,7}:{(15,1),(16,1),(53,1),(85,1)}
        33:{2,3,6,7}:{(16,1),(17,1)}
        34:{2,3,4,7}:{(17,1),(18,1),(43,1)}
        35:{2,3,4,5}:{(18,1),(44,1)}
        36:{1,4,5,6,7}:{(19,1),(56,1),(132,1)}
        37:{2,4,5,6,7}:{(19,1),(20,1),(96,1)}
        38:{1,2,5,6,7}:{(20,1),(21,1),(58,1),(85,1)}
        39:{1,3,6,7}:{(21,1),(22,1)}
        40:{1,3,4,7}:{(22,1),(23,1),(43,1)}
        41:{1,3,4,5}:{(23,1),(44,1)}
        42:{1,2,3,6,7}:{(24,1),(33,1),(39,1),(64,1),(71,1)}
        43:{1,2,4,7}:{(24,1),(25,1),(34,1),(40,1)}
        44:{1,2,4,5}:{(25,1),(29,1),(35,1),(41,1)}
        45:{2,3,4,5,7}:{(26,1),(61,1),(66,1),(111,1),(116,1),(138,1)}
        46:{1,2,4,5,6}:{(26,1),(66,1),(67,1),(108,1),(145,1),(152,1)}
        47:{1,3,4,5,7}:{(27,1),(62,1),(68,1),(109,1),(119,1),(137,1)}
        48:{1,2,4,5,6}:{(27,1),(68,1),(69,1),(108,1),(146,1),(152,1)}
        49:{1,2,3,4,6,7}:{(28,1),(64,1),(70,1),(71,1),(104,1),(114,1),(136,1),(140,1),(153,1)}
        50:{1,2,3,5,7}:{(28,1),(29,1),(65,1),(71,1)}
        51:{2,3,5,6,7}:{(31,1),(61,1),(72,1),(73,1),(138,1)}
        52:{1,2,4,5,6,7}:{(30,1),(31,1),(32,1),(72,1),(73,1),(74,1),(105,1),(115,1)}
        53:{2,3,5,6,7}:{(32,1),(33,1),(73,1),(74,1),(75,1)}
        54:{2,3,4,6,7}:{(33,1),(34,1),(64,1),(74,1),(75,1),(76,1),(104,1)}
        55:{2,3,4,5,7}:{(34,1),(35,1),(65,1),(75,1),(76,1),(113,1)}
        56:{1,3,5,6,7}:{(36,1),(62,1),(77,1),(78,1),(137,1)}
        57:{1,2,4,5,6,7}:{(36,1),(37,1),(38,1),(77,1),(78,1),(79,1),(105,1),(118,1)}
        58:{1,3,5,6,7}:{(38,1),(39,1),(78,1),(79,1),(80,1)}
        59:{1,3,4,6,7}:{(39,1),(40,1),(64,1),(79,1),(80,1),(81,1),(104,1)}
        60:{1,3,4,5,7}:{(40,1),(41,1),(65,1),(80,1),(81,1),(113,1)}
        61:{2,3,4,6,7}:{(45,1),(51,1),(82,1),(95,1)}
        62:{1,3,4,6,7}:{(47,1),(56,1),(83,1),(99,1)}
        63:{1,2,3,5,6,7}:{(42,1),(53,1),(58,1),(84,1),(85,1),(93,1),(94,1),(98,1),(121,1),(124,1),(147,1)}
        64:{1,2,4,6,7}:{(42,1),(43,1),(54,1),(59,1),(85,1),(86,1)}
        65:{1,2,4,5,7}:{(43,1),(44,1),(50,1),(55,1),(60,1),(85,1),(86,1)}
        66:{1,2,4,5,7}:{(45,1),(46,1),(82,1),(88,1),(127,1),(132,1),(147,1)}
        67:{1,3,5,6}:{(46,1),(88,1),(89,1)}
        68:{1,2,4,5,7}:{(47,1),(48,1),(83,1),(90,1),(127,1),(134,1),(147,1)}
        69:{2,3,5,6}:{(48,1),(90,1),(91,1)}
        70:{1,2,3,5,7}:{(49,1),(85,1),(92,1),(93,1),(124,1),(147,1)}
        71:{1,2,3,6}:{(50,1),(86,1)}
        72:{1,2,5,6,7}:{(51,1),(82,1),(94,1),(147,1)}
        73:{3,5,6,7}:{(52,1),(95,1),(124,1)}
        74:{2,4,6,7}:{(53,1),(95,1),(96,1)}
        75:{2,3,5,7}:{(54,1),(85,1),(96,1),(97,1),(124,1)}
        76:{2,3,4,6}:{(55,1),(86,1),(97,1),(131,1)}
        77:{1,2,5,6,7}:{(56,1),(83,1),(98,1),(147,1)}
        78:{3,5,6,7}:{(57,1),(99,1),(124,1)}
        79:{1,4,6,7}:{(58,1),(99,1),(100,1)}
        80:{1,3,5,7}:{(59,1),(85,1),(100,1),(101,1),(124,1)}
        81:{1,3,4,6}:{(60,1),(86,1),(101,1),(131,1)}
        82:{1,2,4,6,7}:{(61,1),(66,1),(72,1),(102,1),(115,1)}
        83:{1,2,4,6,7}:{(62,1),(68,1),(77,1),(103,1),(118,1)}
        84:{1,2,4,6,7}:{(63,1),(74,1),(79,1),(104,1),(105,1),(114,1),(115,1),(118,1)}
        85:{1,2,5,7}:{(64,1),(75,1),(80,1),(106,1)}
        86:{1,2,4,6}:{(65,1),(71,1),(76,1),(81,1),(106,1)}
        87:{1,2,3,5,6}:{(67,1),(69,1),(107,1),(108,1),(141,1),(152,1),(153,1)}
        88:{1,3,5,7}:{(66,1),(67,1),(102,1),(109,1)}
        89:{1,3,4,6}:{(67,1),(108,1),(109,1),(110,1)}
        90:{2,3,5,7}:{(68,1),(69,1),(103,1),(111,1)}
        91:{2,3,4,6}:{(69,1),(108,1),(111,1),(112,1)}
        92:{1,2,4,5,7}:{(70,1),(113,1),(114,1)}
        93:{1,2,3,5,6}:{(70,1),(71,1),(106,1),(114,1),(139,1),(152,1),(153,1)}
        94:{1,3,5,6,7}:{(72,1),(73,1),(102,1),(115,1),(137,1)}
        95:{3,4,6,7}:{(73,1),(74,1),(115,1),(116,1)}
        96:{2,4,5,7}:{(74,1),(75,1),(116,1),(117,1)}
        97:{2,3,5,6}:{(75,1),(76,1),(106,1),(117,1),(139,1)}
        98:{2,3,5,6,7}:{(77,1),(78,1),(103,1),(118,1),(138,1)}
        99:{3,4,6,7}:{(78,1),(79,1),(118,1),(119,1)}
       100:{1,4,5,7}:{(79,1),(80,1),(119,1),(120,1)}
       101:{1,3,5,6}:{(80,1),(81,1),(106,1),(120,1),(139,1)}
       102:{1,3,6,7}:{(82,1),(88,1)}
       103:{2,3,6,7}:{(83,1),(90,1)}
       104:{3,4,6,7}:{(84,1),(124,1),(131,1)}
       105:{1,2,4,5,7}:{(84,1),(85,1),(96,1),(100,1),(124,1),(125,1),(132,1),(134,1),(147,1)}
       106:{1,2,5,6}:{(85,1),(86,1),(97,1),(101,1)}
       107:{1,2,3,5,7}:{(87,1),(88,1),(90,1),(121,1),(127,1),(147,1)}
       108:{1,2,4,6}:{(87,1),(89,1),(91,1),(127,1),(128,1)}
       109:{1,3,4,7}:{(88,1),(89,1),(127,1)}
       110:{1,3,4,5}:{(89,1),(128,1)}
       111:{2,3,4,7}:{(90,1),(91,1),(127,1)}
       112:{2,3,4,5}:{(91,1),(128,1)}
       113:{3,4,5,7}:{(92,1),(124,1),(131,1)}
       114:{1,2,4,6}:{(92,1),(93,1),(131,1)}
       115:{1,4,6,7}:{(94,1),(95,1),(132,1)}
       116:{3,4,5,7}:{(95,1),(96,1),(124,1),(132,1),(133,1)}
       117:{2,4,5,6}:{(96,1),(97,1),(133,1)}
       118:{2,4,6,7}:{(98,1),(99,1),(134,1)}
       119:{3,4,5,7}:{(99,1),(100,1),(124,1),(134,1),(135,1)}
       120:{1,4,5,6}:{(100,1),(101,1),(135,1)}
       121:{1,2,3,6,7}:{(102,1),(103,1),(107,1),(136,1),(153,1)}
       122:{1,3,4,6,7}:{(102,1),(104,1),(109,1),(115,1),(136,1),(137,1),(143,1)}
       123:{2,3,4,6,7}:{(103,1),(104,1),(111,1),(118,1),(136,1),(138,1),(144,1)}
       124:{3,5,7}:{(104,1),(105,1),(139,1)}
       125:{1,2,4,5,6}:{(105,1),(106,1),(114,1),(117,1),(120,1),(139,1),(145,1),(146,1),(152,1)}
       126:{1,2,3,4,6}:{(108,1),(140,1),(141,1),(153,1)}
       127:{1,2,4,7}:{(107,1),(108,1),(109,1),(111,1)}
       128:{1,2,4,5}:{(108,1),(110,1),(112,1),(141,1)}
       129:{1,3,4,5,7}:{(109,1),(110,1),(113,1),(137,1),(142,1),(143,1)}
       130:{2,3,4,5,7}:{(111,1),(112,1),(113,1),(138,1),(142,1),(144,1)}
       131:{3,4,6}:{(113,1),(114,1),(139,1)}
       132:{1,4,5,7}:{(115,1),(116,1),(137,1),(145,1)}
       133:{3,4,5,6}:{(116,1),(117,1),(139,1),(145,1)}
       134:{2,4,5,7}:{(118,1),(119,1),(138,1),(146,1)}
       135:{3,4,5,6}:{(119,1),(120,1),(139,1),(146,1)}
       136:{1,2,4,6,7}:{(121,1),(122,1),(123,1),(127,1),(147,1),(151,1)}
       137:{1,3,5,7}:{(122,1),(124,1),(132,1),(147,1),(148,1)}
       138:{2,3,5,7}:{(123,1),(124,1),(134,1),(147,1),(149,1)}
       139:{3,5,6}:{(124,1),(125,1),(131,1)}
       140:{1,2,3,4,7}:{(126,1),(127,1),(150,1)}
       141:{1,2,3,5}:{(126,1),(128,1)}
       142:{1,2,4,5,7}:{(127,1),(128,1),(129,1),(130,1),(147,1),(150,1),(151,1)}
       143:{1,3,4,6}:{(129,1),(131,1),(148,1),(151,1)}
       144:{2,3,4,6}:{(130,1),(131,1),(149,1),(151,1)}
       145:{1,4,5,6}:{(132,1),(133,1),(148,1)}
       146:{2,4,5,6}:{(134,1),(135,1),(149,1)}
       147:{1,2,5,7}:{(136,1),(137,1),(138,1),(152,1)}
       148:{1,3,5,6}:{(137,1),(139,1),(143,1),(145,1),(152,1)}
       149:{2,3,5,6}:{(138,1),(139,1),(144,1),(146,1),(152,1)}
       150:{1,2,3,5,7}:{(140,1),(141,1),(142,1),(153,1)}
       151:{1,2,4,6}:{(142,1),(143,1),(144,1),(152,1),(153,1)}
       152:{1,2,5,6}:{(147,1),(148,1),(149,1),(151,1)}
       153:{1,2,3,6}:{(150,1),(151,1)}

2276 :  0:{1,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,3,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,4,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,2,4,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,5,7}:{(4,1),(8,1),(9,1)}
        7:{1,3,4,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,2,4,5,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,6}:{(6,1),(12,1),(27,1)}
       10:{1,2,3,4,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{1,3,5,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6}:{(8,1),(9,1),(16,1),(23,1)}
       13:{2,3,4,5,6,7}:{(9,1),(17,1),(32,1)}
       14:{1,2,3,5,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{1,3,4,5,7}:{(11,1),(18,1),(20,1)}
       16:{1,3,5,6}:{(11,1),(12,1),(20,1)}
       17:{1,2,4,5,6,7}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,2,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(14,1),(16,1),(23,1),(31,1)}
       20:{1,3,4,6}:{(15,1),(16,1),(23,1)}
       21:{1,3,5,6,7}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,5,7}:{(18,1),(27,1),(34,1)}
       23:{1,2,4,6}:{(18,1),(19,1),(20,1),(27,1)}
       24:{1,2,3,5,6,7}:{(19,1),(21,1),(29,1),(34,1)}
       25:{1,3,4,5,6}:{(20,1),(28,1),(30,1)}
       26:{1,3,4,6,7}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,4,6}:{(22,1),(23,1),(31,1)}
       28:{1,2,4,5,6}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{1,3,4,5,7}:{(25,1),(26,1),(33,1)}
       31:{2,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{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:{2,3,5,7}:{(31,1),(32,1),(33,1)}

2277 :  0:{1,2,3,4,6,7}:{(1,1),(4,1),(6,1),(17,1),(21,1),(41,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(32,1),(51,1)}
        2:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,5,6}:{(1,1),(6,1),(17,1),(20,1),(40,1)}
        4:{1,2,3,4,7}:{(8,1),(9,1),(47,1)}
        5:{3,4,5,7}:{(2,1),(12,1),(32,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(12,1)}
        7:{1,2,3,5,6,7}:{(3,1),(14,1),(27,1),(32,1),(51,1),(52,1),(53,1)}
        8:{1,2,3,4,6}:{(4,1),(15,1),(17,1),(35,1)}
        9:{1,2,3,5,7}:{(4,1),(15,1),(16,1),(17,1)}
       10:{1,3,4,5,7}:{(5,1),(16,1),(18,1),(34,1),(42,1),(55,1)}
       11:{2,3,4,5,7}:{(5,1),(16,1),(19,1),(34,1),(43,1),(55,1)}
       12:{3,4,6}:{(5,1),(6,1),(20,1)}
       13:{1,2,4,5,6}:{(6,1),(20,1),(22,1),(37,1),(38,1),(40,1)}
       14:{1,2,4,6,7}:{(6,1),(7,1),(21,1),(22,1),(57,1),(58,1)}
       15:{1,2,3,5}:{(8,1),(23,1)}
       16:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(47,1),(51,1)}
       17:{1,2,3,6}:{(9,1),(26,1)}
       18:{1,3,4,6}:{(10,1),(12,1),(26,1),(28,1),(45,1)}
       19:{2,3,4,6}:{(11,1),(12,1),(26,1),(30,1),(45,1)}
       20:{3,5,6}:{(12,1),(13,1),(32,1)}
       21:{3,4,6,7}:{(12,1),(14,1),(32,1)}
       22:{1,2,4,5,7}:{(13,1),(14,1),(32,1),(48,1),(49,1),(51,1)}
       23:{1,2,4,5}:{(15,1),(34,1),(35,1)}
       24:{1,2,3,5,6}:{(15,1),(17,1),(35,1),(36,1),(40,1),(54,1)}
       25:{3,4,5,6}:{(20,1),(37,1),(38,1),(39,1),(54,1)}
       26:{1,2,4,6}:{(16,1),(17,1),(18,1),(19,1),(40,1)}
       27:{1,2,3,6,7}:{(17,1),(36,1),(41,1),(62,1)}
       28:{1,3,5,6}:{(18,1),(20,1),(37,1),(40,1),(42,1),(54,1)}
       29:{1,3,4,6,7}:{(18,1),(21,1),(41,1),(42,1),(55,1),(57,1),(62,1)}
       30:{2,3,5,6}:{(19,1),(20,1),(38,1),(40,1),(43,1),(54,1)}
       31:{2,3,4,6,7}:{(19,1),(21,1),(41,1),(43,1),(55,1),(58,1),(62,1)}
       32:{3,5,7}:{(20,1),(21,1),(22,1)}
       33:{1,2,4,5,6,7}:{(22,1),(44,1),(57,1),(58,1),(59,1)}
       34:{3,4,5}:{(23,1),(45,1)}
       35:{1,2,4,6}:{(23,1),(24,1),(45,1),(47,1)}
       36:{1,2,3,5,7}:{(24,1),(27,1),(47,1),(51,1),(60,1)}
       37:{1,4,5,6}:{(25,1),(28,1),(48,1)}
       38:{2,4,5,6}:{(25,1),(30,1),(49,1)}
       39:{3,4,5,7}:{(25,1),(32,1),(48,1),(49,1),(50,1),(60,1)}
       40:{1,2,5,6}:{(26,1),(28,1),(30,1),(51,1)}
       41:{1,2,4,6,7}:{(26,1),(27,1),(29,1),(31,1),(47,1),(51,1)}
       42:{1,3,5,7}:{(28,1),(29,1),(32,1),(48,1),(51,1),(60,1)}
       43:{2,3,5,7}:{(30,1),(31,1),(32,1),(49,1),(51,1),(60,1)}
       44:{3,5,6,7}:{(32,1),(33,1),(50,1)}
       45:{3,4,6}:{(34,1),(35,1),(54,1),(55,1)}
       46:{1,2,4,5,6}:{(35,1),(37,1),(38,1),(40,1),(54,1),(56,1)}
       47:{1,2,4,7}:{(35,1),(36,1),(55,1)}
       48:{1,4,5,7}:{(37,1),(39,1),(42,1),(57,1)}
       49:{2,4,5,7}:{(38,1),(39,1),(43,1),(58,1)}
       50:{3,4,6,7}:{(39,1),(44,1),(57,1),(58,1),(62,1)}
       51:{1,2,5,7}:{(40,1),(41,1),(42,1),(43,1)}
       52:{1,3,5,6,7}:{(42,1),(44,1),(57,1),(59,1),(62,1)}
       53:{2,3,5,6,7}:{(43,1),(44,1),(58,1),(59,1),(62,1)}
       54:{3,5,6}:{(45,1),(46,1),(60,1)}
       55:{3,4,7}:{(45,1),(47,1),(60,1)}
       56:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(49,1),(51,1),(60,1),(61,1)}
       57:{1,4,6,7}:{(48,1),(50,1),(52,1)}
       58:{2,4,6,7}:{(49,1),(50,1),(53,1)}
       59:{1,2,5,6,7}:{(51,1),(52,1),(53,1),(61,1)}
       60:{3,5,7}:{(54,1),(55,1),(56,1),(62,1)}
       61:{1,2,4,6,7}:{(56,1),(57,1),(58,1),(59,1),(62,1)}
       62:{3,6,7}:{(60,1),(61,1)}

2278 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(16,1),(20,1),(43,1),(44,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(28,1),(51,1)}
        2:{1,2,4,5,7}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,5,6}:{(1,1),(5,1),(14,1),(40,1),(43,1)}
        4:{3,4,5,7}:{(2,1),(11,1),(28,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(11,1)}
        6:{1,2,3,5,6,7}:{(3,1),(12,1),(23,1),(24,1),(28,1),(51,1),(52,1)}
        7:{1,2,4,5,6,7}:{(13,1),(15,1),(36,1),(37,1),(38,1)}
        8:{1,2,4,5,6}:{(5,1),(14,1),(15,1),(33,1),(34,1),(40,1)}
        9:{2,3,4,5,7}:{(4,1),(17,1),(18,1),(41,1),(53,1),(62,1)}
       10:{1,3,4,5,7}:{(4,1),(17,1),(19,1),(42,1),(53,1),(62,1)}
       11:{3,4,6}:{(4,1),(5,1),(14,1)}
       12:{1,2,4,6,7}:{(5,1),(6,1),(15,1),(20,1),(36,1),(37,1)}
       13:{3,5,6,7}:{(7,1),(22,1),(28,1)}
       14:{3,5,6}:{(8,1),(11,1),(28,1)}
       15:{1,2,4,5,7}:{(8,1),(12,1),(28,1),(46,1),(47,1),(51,1)}
       16:{1,2,3,4,7}:{(25,1),(29,1),(61,1)}
       17:{1,2,4,5,7}:{(9,1),(10,1),(29,1),(30,1),(49,1),(51,1),(61,1)}
       18:{2,3,4,6}:{(9,1),(11,1),(26,1),(30,1),(59,1)}
       19:{1,3,4,6}:{(10,1),(11,1),(27,1),(30,1),(59,1)}
       20:{3,4,6,7}:{(11,1),(12,1),(28,1)}
       21:{3,4,5,6}:{(14,1),(33,1),(34,1),(35,1),(54,1)}
       22:{3,4,6,7}:{(13,1),(35,1),(36,1),(37,1),(56,1)}
       23:{2,3,5,6,7}:{(13,1),(36,1),(38,1),(41,1),(56,1)}
       24:{1,3,5,6,7}:{(13,1),(37,1),(38,1),(42,1),(56,1)}
       25:{1,2,3,4,6}:{(16,1),(39,1),(43,1),(57,1)}
       26:{2,3,5,6}:{(14,1),(18,1),(33,1),(40,1),(41,1),(54,1)}
       27:{1,3,5,6}:{(14,1),(19,1),(34,1),(40,1),(42,1),(54,1)}
       28:{3,5,7}:{(14,1),(15,1),(20,1)}
       29:{1,2,3,5,7}:{(16,1),(17,1),(39,1),(43,1)}
       30:{1,2,4,6}:{(17,1),(18,1),(19,1),(40,1),(43,1)}
       31:{2,3,4,6,7}:{(18,1),(20,1),(36,1),(41,1),(44,1),(56,1),(62,1)}
       32:{1,3,4,6,7}:{(19,1),(20,1),(37,1),(42,1),(44,1),(56,1),(62,1)}
       33:{2,4,5,6}:{(21,1),(26,1),(46,1)}
       34:{1,4,5,6}:{(21,1),(27,1),(47,1)}
       35:{3,4,5,7}:{(21,1),(22,1),(28,1),(46,1),(47,1),(60,1)}
       36:{2,4,6,7}:{(22,1),(23,1),(46,1)}
       37:{1,4,6,7}:{(22,1),(24,1),(47,1)}
       38:{1,2,5,6,7}:{(23,1),(24,1),(48,1),(51,1)}
       39:{1,2,3,5}:{(25,1),(49,1)}
       40:{1,2,5,6}:{(26,1),(27,1),(30,1),(51,1)}
       41:{2,3,5,7}:{(26,1),(28,1),(31,1),(46,1),(51,1),(60,1)}
       42:{1,3,5,7}:{(27,1),(28,1),(32,1),(47,1),(51,1),(60,1)}
       43:{1,2,3,6}:{(29,1),(30,1)}
       44:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(51,1),(52,1),(61,1)}
       45:{1,2,4,5,6}:{(33,1),(34,1),(40,1),(54,1),(55,1),(57,1)}
       46:{2,4,5,7}:{(33,1),(35,1),(36,1),(41,1)}
       47:{1,4,5,7}:{(34,1),(35,1),(37,1),(42,1)}
       48:{1,2,4,6,7}:{(36,1),(37,1),(38,1),(55,1),(56,1)}
       49:{1,2,4,5}:{(39,1),(53,1),(57,1)}
       50:{1,2,3,5,6}:{(39,1),(40,1),(43,1),(54,1),(57,1),(58,1)}
       51:{1,2,5,7}:{(40,1),(41,1),(42,1),(44,1)}
       52:{1,2,3,6,7}:{(43,1),(44,1),(56,1),(58,1)}
       53:{3,4,5}:{(49,1),(59,1)}
       54:{3,5,6}:{(45,1),(59,1),(60,1)}
       55:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(48,1),(51,1),(60,1),(61,1)}
       56:{3,6,7}:{(48,1),(60,1)}
       57:{1,2,4,6}:{(49,1),(50,1),(59,1),(61,1)}
       58:{1,2,3,5,7}:{(50,1),(51,1),(52,1),(60,1),(61,1)}
       59:{3,4,6}:{(53,1),(54,1),(57,1),(62,1)}
       60:{3,5,7}:{(54,1),(55,1),(56,1),(62,1)}
       61:{1,2,4,7}:{(57,1),(58,1),(62,1)}
       62:{3,4,7}:{(59,1),(60,1),(61,1)}

2279 :  0:{1,2,3,4,6,7}:{(2,1),(9,1),(10,1),(29,1),(49,1),(50,1)}
        1:{1,2,3,5,6,7}:{(4,1),(5,1),(13,1),(14,1),(16,1),(39,1),(40,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(16,1),(39,1)}
        3:{1,2,4,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(25,1)}
        4:{1,2,4,6,7}:{(1,1),(8,1),(9,1),(10,1),(23,1),(24,1)}
        5:{1,2,3,5,6}:{(2,1),(10,1),(26,1),(47,1),(49,1)}
        6:{1,2,4,5,7}:{(2,1),(10,1),(11,1)}
        7:{3,5,6,7}:{(3,1),(12,1),(16,1)}
        8:{1,2,4,5,7}:{(4,1),(15,1),(16,1),(34,1),(35,1),(39,1)}
        9:{3,4,6,7}:{(4,1),(16,1),(19,1)}
       10:{1,2,4,6}:{(5,1),(6,1),(19,1)}
       11:{3,4,5,7}:{(6,1),(16,1),(19,1)}
       12:{3,4,6,7}:{(7,1),(22,1),(23,1),(24,1),(46,1)}
       13:{1,3,5,6,7}:{(7,1),(23,1),(25,1),(27,1),(46,1)}
       14:{2,3,5,6,7}:{(7,1),(24,1),(25,1),(28,1),(46,1)}
       15:{1,2,4,5,6}:{(8,1),(10,1),(26,1),(43,1),(44,1),(47,1)}
       16:{3,5,7}:{(8,1),(9,1),(26,1)}
       17:{1,3,4,6,7}:{(9,1),(23,1),(27,1),(29,1),(30,1),(46,1),(57,1)}
       18:{2,3,4,6,7}:{(9,1),(24,1),(28,1),(29,1),(31,1),(46,1),(57,1)}
       19:{3,4,6}:{(10,1),(11,1),(26,1)}
       20:{1,3,4,5,7}:{(11,1),(27,1),(30,1),(32,1),(57,1),(62,1)}
       21:{2,3,4,5,7}:{(11,1),(28,1),(31,1),(32,1),(57,1),(62,1)}
       22:{3,4,5,7}:{(12,1),(16,1),(33,1),(34,1),(35,1),(52,1)}
       23:{1,4,6,7}:{(12,1),(13,1),(34,1)}
       24:{2,4,6,7}:{(12,1),(14,1),(35,1)}
       25:{1,2,5,6,7}:{(13,1),(14,1),(36,1),(39,1)}
       26:{3,5,6}:{(15,1),(16,1),(19,1)}
       27:{1,3,5,7}:{(16,1),(17,1),(34,1),(37,1),(39,1),(52,1)}
       28:{2,3,5,7}:{(16,1),(18,1),(35,1),(38,1),(39,1),(52,1)}
       29:{1,2,4,6,7}:{(17,1),(18,1),(39,1),(40,1),(41,1),(54,1)}
       30:{1,3,4,6}:{(19,1),(20,1),(37,1),(41,1),(60,1)}
       31:{2,3,4,6}:{(19,1),(21,1),(38,1),(41,1),(60,1)}
       32:{1,2,4,5,7}:{(20,1),(21,1),(39,1),(41,1),(42,1),(54,1),(61,1)}
       33:{3,4,5,6}:{(22,1),(26,1),(43,1),(44,1),(56,1)}
       34:{1,4,5,7}:{(22,1),(23,1),(27,1),(43,1)}
       35:{2,4,5,7}:{(22,1),(24,1),(28,1),(44,1)}
       36:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(45,1),(46,1)}
       37:{1,3,5,6}:{(26,1),(27,1),(30,1),(43,1),(47,1),(56,1)}
       38:{2,3,5,6}:{(26,1),(28,1),(31,1),(44,1),(47,1),(56,1)}
       39:{1,2,5,7}:{(27,1),(28,1),(29,1),(47,1)}
       40:{1,2,3,6,7}:{(29,1),(46,1),(48,1),(49,1)}
       41:{1,2,4,6}:{(30,1),(31,1),(32,1),(47,1),(49,1)}
       42:{1,2,3,5,7}:{(32,1),(49,1),(50,1),(59,1)}
       43:{1,4,5,6}:{(33,1),(34,1),(37,1)}
       44:{2,4,5,6}:{(33,1),(35,1),(38,1)}
       45:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(39,1),(51,1),(52,1),(54,1)}
       46:{3,6,7}:{(36,1),(52,1)}
       47:{1,2,5,6}:{(37,1),(38,1),(39,1),(41,1)}
       48:{1,2,3,5,7}:{(39,1),(40,1),(52,1),(53,1),(54,1)}
       49:{1,2,3,6}:{(41,1),(42,1)}
       50:{1,2,3,4,7}:{(42,1),(54,1),(55,1)}
       51:{1,2,4,5,6}:{(43,1),(44,1),(45,1),(47,1),(56,1),(58,1)}
       52:{3,5,7}:{(45,1),(46,1),(56,1),(57,1)}
       53:{1,2,3,5,6}:{(47,1),(48,1),(49,1),(56,1),(58,1),(59,1)}
       54:{1,2,4,7}:{(48,1),(57,1),(58,1)}
       55:{1,2,3,4,6}:{(49,1),(50,1),(58,1),(59,1)}
       56:{3,5,6}:{(51,1),(52,1),(60,1)}
       57:{3,4,7}:{(52,1),(54,1),(60,1)}
       58:{1,2,4,6}:{(53,1),(54,1),(60,1),(61,1)}
       59:{1,2,3,5}:{(55,1),(61,1)}
       60:{3,4,6}:{(56,1),(57,1),(58,1),(62,1)}
       61:{1,2,4,5}:{(58,1),(59,1),(62,1)}
       62:{3,4,5}:{(60,1),(61,1)}

2280 :  0:{1,3,4,5,6}:{(3,1),(6,1),(30,1),(76,1),(80,1)}
        1:{2,3,4,5,6}:{(4,1),(7,1),(29,1),(76,1),(79,1)}
        2:{3,4,5,6,7}:{(8,1),(9,1),(33,1),(63,1)}
        3:{1,3,4,5,7}:{(0,1),(10,1),(13,1),(40,1),(63,1),(66,1)}
        4:{2,3,4,5,7}:{(1,1),(11,1),(14,1),(39,1),(63,1),(65,1)}
        5:{1,2,3,4,6,7}:{(15,1),(36,1),(42,1),(64,1),(68,1),(89,1)}
        6:{1,2,4,5,6}:{(0,1),(13,1),(16,1),(43,1),(85,1),(88,1)}
        7:{1,2,4,5,6}:{(1,1),(14,1),(17,1),(43,1),(86,1),(88,1)}
        8:{1,4,5,6,7}:{(2,1),(18,1),(75,1)}
        9:{2,4,5,6,7}:{(2,1),(19,1),(74,1)}
       10:{1,3,4,6,7}:{(3,1),(18,1),(21,1),(48,1)}
       11:{2,3,4,6,7}:{(4,1),(19,1),(22,1),(48,1)}
       12:{1,2,3,5,6,7}:{(23,1),(27,1),(46,1),(47,1),(49,1),(52,1),(78,1)}
       13:{1,2,4,5,7}:{(3,1),(6,1),(21,1),(24,1),(54,1),(74,1),(78,1)}
       14:{1,2,4,5,7}:{(4,1),(7,1),(22,1),(25,1),(54,1),(75,1),(78,1)}
       15:{1,2,3,5,7}:{(5,1),(26,1),(27,1),(52,1),(78,1)}
       16:{2,3,5,6}:{(6,1),(24,1),(29,1)}
       17:{1,3,5,6}:{(7,1),(25,1),(30,1)}
       18:{1,3,5,6,7}:{(8,1),(10,1),(31,1),(33,1),(66,1)}
       19:{2,3,5,6,7}:{(9,1),(11,1),(32,1),(33,1),(65,1)}
       20:{1,2,4,5,6,7}:{(8,1),(9,1),(31,1),(32,1),(33,1),(37,1),(61,1),(62,1),(84,1)}
       21:{1,2,4,6,7}:{(10,1),(13,1),(31,1),(34,1),(61,1)}
       22:{1,2,4,6,7}:{(11,1),(14,1),(32,1),(35,1),(62,1)}
       23:{1,2,4,6,7}:{(12,1),(36,1),(37,1),(42,1),(61,1),(62,1)}
       24:{2,3,5,7}:{(13,1),(16,1),(34,1),(39,1)}
       25:{1,3,5,7}:{(14,1),(17,1),(35,1),(40,1)}
       26:{1,2,4,5,7}:{(15,1),(41,1),(42,1)}
       27:{1,2,3,5,6}:{(15,1),(42,1),(67,1),(88,1),(89,1)}
       28:{1,2,3,5,6}:{(16,1),(17,1),(38,1),(43,1),(72,1),(88,1),(89,1)}
       29:{2,3,4,6}:{(16,1),(39,1),(43,1),(44,1)}
       30:{1,3,4,6}:{(17,1),(40,1),(43,1),(45,1)}
       31:{1,2,5,6,7}:{(18,1),(21,1),(46,1),(78,1)}
       32:{1,2,5,6,7}:{(19,1),(22,1),(47,1),(78,1)}
       33:{3,5,6,7}:{(20,1),(48,1),(52,1),(90,1)}
       34:{2,3,6,7}:{(21,1),(24,1)}
       35:{1,3,6,7}:{(22,1),(25,1)}
       36:{3,4,6,7}:{(23,1),(52,1),(57,1)}
       37:{1,2,4,5,7}:{(23,1),(52,1),(53,1),(74,1),(75,1),(78,1)}
       38:{1,2,3,5,7}:{(24,1),(25,1),(28,1),(49,1),(54,1),(78,1)}
       39:{2,3,4,7}:{(24,1),(29,1),(54,1)}
       40:{1,3,4,7}:{(25,1),(30,1),(54,1)}
       41:{3,4,5,7}:{(26,1),(52,1),(57,1)}
       42:{1,2,4,6}:{(26,1),(27,1),(57,1)}
       43:{1,2,4,6}:{(28,1),(29,1),(30,1),(54,1),(59,1)}
       44:{2,3,4,5}:{(29,1),(59,1)}
       45:{1,3,4,5}:{(30,1),(59,1)}
       46:{2,3,5,6,7}:{(31,1),(33,1),(34,1),(61,1),(65,1)}
       47:{1,3,5,6,7}:{(32,1),(33,1),(35,1),(62,1),(66,1)}
       48:{3,4,6,7}:{(33,1),(61,1),(62,1),(63,1)}
       49:{1,2,3,6,7}:{(34,1),(35,1),(38,1),(64,1),(89,1)}
       50:{2,3,4,6,7}:{(34,1),(36,1),(39,1),(61,1),(64,1),(65,1),(70,1),(83,1)}
       51:{1,3,4,6,7}:{(35,1),(36,1),(40,1),(62,1),(64,1),(66,1),(71,1),(83,1)}
       52:{3,5,7}:{(36,1),(37,1),(67,1)}
       53:{1,2,4,5,6}:{(37,1),(42,1),(67,1),(85,1),(86,1),(88,1)}
       54:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1)}
       55:{2,3,4,5,7}:{(39,1),(41,1),(44,1),(65,1),(69,1),(70,1),(94,1)}
       56:{1,3,4,5,7}:{(40,1),(41,1),(45,1),(66,1),(69,1),(71,1),(94,1)}
       57:{3,4,6}:{(41,1),(42,1),(67,1)}
       58:{1,2,3,4,6}:{(43,1),(68,1),(72,1),(89,1)}
       59:{1,2,4,5}:{(43,1),(44,1),(45,1),(72,1)}
       60:{1,2,3,5,6,7}:{(46,1),(47,1),(49,1),(73,1),(78,1),(90,1),(93,1)}
       61:{2,4,6,7}:{(46,1),(48,1),(74,1)}
       62:{1,4,6,7}:{(47,1),(48,1),(75,1)}
       63:{3,4,5,7}:{(48,1),(52,1),(74,1),(75,1),(76,1),(90,1)}
       64:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(54,1),(78,1),(82,1)}
       65:{2,3,5,7}:{(50,1),(52,1),(74,1),(78,1),(79,1),(90,1)}
       66:{1,3,5,7}:{(51,1),(52,1),(75,1),(78,1),(80,1),(90,1)}
       67:{3,5,6}:{(52,1),(53,1),(57,1)}
       68:{1,2,3,4,7}:{(54,1),(58,1),(81,1)}
       69:{1,2,4,5,7}:{(54,1),(55,1),(56,1),(59,1),(78,1),(81,1),(82,1)}
       70:{2,3,4,6}:{(55,1),(57,1),(79,1),(82,1),(97,1)}
       71:{1,3,4,6}:{(56,1),(57,1),(80,1),(82,1),(97,1)}
       72:{1,2,3,5}:{(58,1),(59,1)}
       73:{1,2,4,6,7}:{(60,1),(61,1),(62,1),(83,1),(84,1),(96,1)}
       74:{2,4,5,7}:{(61,1),(63,1),(65,1),(85,1)}
       75:{1,4,5,7}:{(62,1),(63,1),(66,1),(86,1)}
       76:{3,4,5,6}:{(63,1),(67,1),(85,1),(86,1),(95,1)}
       77:{1,2,3,4,6,7}:{(64,1),(68,1),(83,1),(87,1),(89,1),(96,1)}
       78:{1,2,5,7}:{(64,1),(65,1),(66,1),(88,1)}
       79:{2,3,5,6}:{(65,1),(67,1),(70,1),(85,1),(88,1),(95,1)}
       80:{1,3,5,6}:{(66,1),(67,1),(71,1),(86,1),(88,1),(95,1)}
       81:{1,2,3,5,7}:{(68,1),(69,1),(72,1),(89,1)}
       82:{1,2,4,6}:{(69,1),(70,1),(71,1),(88,1),(89,1)}
       83:{3,4,6,7}:{(73,1),(90,1),(97,1)}
       84:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(78,1),(90,1),(91,1)}
       85:{2,4,5,6}:{(74,1),(76,1),(79,1)}
       86:{1,4,5,6}:{(75,1),(76,1),(80,1)}
       87:{1,2,3,5,7}:{(77,1),(78,1),(90,1),(92,1),(93,1)}
       88:{1,2,5,6}:{(78,1),(79,1),(80,1),(82,1)}
       89:{1,2,3,6}:{(81,1),(82,1)}
       90:{3,5,7}:{(83,1),(84,1),(95,1)}
       91:{1,2,4,5,6}:{(84,1),(85,1),(86,1),(88,1),(95,1),(96,1)}
       92:{1,2,4,5,7}:{(87,1),(94,1),(96,1)}
       93:{1,2,3,5,6}:{(87,1),(88,1),(89,1),(95,1),(96,1)}
       94:{3,4,5,7}:{(90,1),(92,1),(97,1)}
       95:{3,5,6}:{(90,1),(91,1),(97,1)}
       96:{1,2,4,6}:{(92,1),(93,1),(97,1)}
       97:{3,4,6}:{(94,1),(95,1),(96,1)}

2281 :  0:{1,2,3,4,5,7}:{(1,1),(5,1),(21,1),(36,1)}
        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),(35,1),(36,1)}
        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),(18,1),(33,1),(35,1)}
        7:{3,4,5,6}:{(4,1),(12,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(12,1)}
        9:{1,2,4,6,7}:{(6,1),(8,1),(14,1)}
       10:{2,3,4,5,6}:{(7,1),(15,1),(16,1),(45,1)}
       11:{1,3,4,5,6}:{(7,1),(15,1),(17,1),(45,1)}
       12:{3,4,5,7}:{(7,1),(8,1),(14,1)}
       13:{1,2,4,5,6,7}:{(9,1),(18,1),(31,1),(32,1),(33,1)}
       14:{3,4,6,7}:{(9,1),(12,1),(18,1)}
       15:{1,2,4,5,6}:{(10,1),(11,1),(22,1),(23,1)}
       16:{2,3,4,5,7}:{(10,1),(12,1),(19,1),(23,1),(48,1)}
       17:{1,3,4,5,7}:{(11,1),(12,1),(20,1),(23,1),(48,1)}
       18:{3,5,6,7}:{(13,1),(14,1)}
       19:{2,3,4,6,7}:{(14,1),(16,1),(25,1),(28,1),(46,1)}
       20:{1,3,4,6,7}:{(14,1),(17,1),(26,1),(28,1),(46,1)}
       21:{1,2,3,4,5}:{(29,1)}
       22:{1,2,3,5,6}:{(15,1),(29,1),(30,1)}
       23:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(28,1),(30,1)}
       24:{3,4,5,6,7}:{(18,1),(31,1),(32,1),(41,1)}
       25:{2,3,5,6,7}:{(18,1),(19,1),(31,1),(33,1),(41,1)}
       26:{1,3,5,6,7}:{(18,1),(20,1),(32,1),(33,1),(41,1)}
       27:{1,2,3,4,5,7}:{(21,1),(34,1),(36,1),(44,1)}
       28:{1,2,4,6,7}:{(19,1),(20,1),(23,1),(33,1),(35,1)}
       29:{1,2,3,4,6}:{(21,1),(22,1),(36,1)}
       30:{1,2,3,5,7}:{(22,1),(23,1),(35,1),(36,1)}
       31:{2,4,5,6,7}:{(24,1),(25,1)}
       32:{1,4,5,6,7}:{(24,1),(26,1)}
       33:{1,2,5,6,7}:{(25,1),(26,1),(28,1)}
       34:{1,2,3,4,6}:{(27,1),(39,1)}
       35:{1,2,3,6,7}:{(28,1),(30,1)}
       36:{1,2,3,4,7}:{(29,1),(30,1)}
       37:{1,2,4,5,6,7}:{(31,1),(32,1),(33,1),(41,1),(43,1)}
       38:{1,2,3,5,6,7}:{(33,1),(35,1),(41,1),(43,1),(44,1)}
       39:{1,2,3,5,6}:{(34,1),(42,1),(44,1)}
       40:{1,2,3,4,6,7}:{(34,1),(35,1),(36,1),(43,1),(44,1)}
       41:{3,5,6,7}:{(37,1),(46,1)}
       42:{1,2,4,5,6}:{(39,1),(45,1),(47,1)}
       43:{1,2,4,6,7}:{(38,1),(46,1),(47,1)}
       44:{1,2,3,5,7}:{(39,1),(40,1),(47,1)}
       45:{3,4,5,6}:{(42,1),(48,1)}
       46:{3,4,6,7}:{(41,1),(43,1),(48,1)}
       47:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(48,1)}
       48:{3,4,5,7}:{(45,1),(46,1),(47,1)}

2282 :  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:{3,4,5,6}:{(4,1),(9,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,2,3,6,7}:{(5,1),(10,1)}
        9:{3,4,5,7}:{(6,1),(7,1),(11,1)}
       10:{1,2,4,6,7}:{(7,1),(8,1),(11,1),(12,1)}
       11:{3,4,6,7}:{(9,1),(10,1),(13,1)}
       12:{1,2,5,6,7}:{(10,1),(13,1)}
       13:{3,5,6,7}:{(11,1),(12,1),(14,1)}
       14:{4,5,6,7}:{(13,1)}

2283 :   0:{1,3,4,5,6}:{(3,1),(4,1),(54,1),(61,1),(105,1)}
         1:{3,4,5,6,7}:{(5,1),(6,1),(33,1),(146,1)}
         2:{1,2,3,4,6}:{(7,1),(9,1),(35,1),(39,1)}
         3:{1,2,4,5,6}:{(0,1),(11,1),(12,1),(39,1),(78,1),(82,1)}
         4:{1,3,4,5,7}:{(0,1),(8,1),(12,1),(80,1),(86,1),(125,1)}
         5:{2,4,5,6,7}:{(1,1),(15,1),(150,1)}
         6:{1,4,5,6,7}:{(1,1),(16,1),(139,1)}
         7:{1,2,3,4,7}:{(2,1),(18,1),(63,1)}
         8:{1,3,4,6,7}:{(4,1),(16,1),(20,1),(55,1)}
         9:{1,2,3,5}:{(2,1),(21,1)}
        10:{2,3,4,5}:{(21,1),(23,1)}
        11:{2,3,5,6}:{(3,1),(23,1),(24,1)}
        12:{1,2,4,5,7}:{(3,1),(4,1),(20,1),(24,1),(63,1),(103,1),(107,1)}
        13:{2,3,4,5,6}:{(26,1),(27,1),(54,1),(111,1),(132,1)}
        14:{1,2,3,4,6,7}:{(7,1),(28,1),(30,1),(35,1),(70,1),(74,1),(83,1),(117,1),(120,1)}
        15:{2,3,5,6,7}:{(5,1),(29,1),(31,1),(33,1),(144,1)}
        16:{1,3,5,6,7}:{(6,1),(8,1),(32,1),(33,1),(125,1)}
        17:{1,2,4,5,6,7}:{(5,1),(6,1),(31,1),(32,1),(33,1),(77,1),(79,1),(121,1)}
        18:{1,2,3,5,7}:{(7,1),(9,1),(34,1),(35,1)}
        19:{2,3,4,5,7}:{(10,1),(34,1),(36,1),(42,1),(73,1),(84,1)}
        20:{1,2,4,6,7}:{(8,1),(12,1),(32,1),(37,1),(79,1)}
        21:{1,2,4,5}:{(9,1),(10,1),(38,1),(39,1)}
        22:{1,2,3,5,6}:{(9,1),(11,1),(35,1),(39,1),(40,1),(82,1),(85,1)}
        23:{2,3,4,6}:{(10,1),(11,1),(39,1),(42,1)}
        24:{2,3,5,7}:{(11,1),(12,1),(37,1),(42,1)}
        25:{1,2,3,4,6}:{(28,1),(43,1),(70,1),(90,1)}
        26:{1,2,4,5,6}:{(13,1),(45,1),(46,1),(76,1),(90,1),(116,1)}
        27:{2,3,4,5,7}:{(13,1),(29,1),(46,1),(80,1),(129,1),(144,1)}
        28:{1,2,3,4,7}:{(25,1),(47,1),(113,1)}
        29:{2,3,4,6,7}:{(15,1),(27,1),(49,1),(55,1)}
        30:{1,2,3,5,7}:{(14,1),(50,1),(51,1),(107,1),(134,1),(137,1)}
        31:{1,2,5,6,7}:{(15,1),(49,1),(52,1),(134,1)}
        32:{1,2,5,6,7}:{(16,1),(20,1),(53,1),(107,1)}
        33:{3,5,6,7}:{(17,1),(55,1),(137,1)}
        34:{1,2,4,5,7}:{(18,1),(19,1),(21,1),(56,1),(57,1),(63,1),(107,1)}
        35:{1,2,3,6}:{(18,1),(57,1)}
        36:{2,3,4,6}:{(19,1),(57,1),(59,1),(99,1)}
        37:{2,3,6,7}:{(20,1),(24,1)}
        38:{1,3,4,5}:{(21,1),(61,1)}
        39:{1,2,4,6}:{(21,1),(22,1),(23,1),(61,1),(63,1)}
        40:{1,2,3,5,7}:{(22,1),(24,1),(58,1),(63,1),(107,1),(109,1)}
        41:{2,3,4,5,6}:{(23,1),(59,1),(62,1),(64,1),(136,1)}
        42:{2,3,4,7}:{(23,1),(24,1),(63,1)}
        43:{1,2,3,5}:{(25,1),(65,1)}
        44:{1,3,4,5}:{(65,1),(67,1)}
        45:{1,3,5,6}:{(26,1),(67,1),(68,1)}
        46:{1,2,4,5,7}:{(26,1),(27,1),(49,1),(68,1),(102,1),(113,1),(134,1)}
        47:{1,2,3,5,7}:{(28,1),(43,1),(69,1),(70,1)}
        48:{1,3,4,5,7}:{(44,1),(69,1),(71,1),(73,1),(93,1),(118,1)}
        49:{1,2,4,6,7}:{(29,1),(31,1),(46,1),(72,1),(77,1)}
        50:{1,2,4,5,7}:{(30,1),(73,1),(74,1)}
        51:{1,2,3,5,6}:{(30,1),(35,1),(70,1),(74,1),(82,1),(116,1),(119,1)}
        52:{1,3,5,6,7}:{(31,1),(33,1),(72,1),(77,1),(118,1)}
        53:{2,3,5,6,7}:{(32,1),(33,1),(37,1),(79,1),(84,1)}
        54:{3,4,5,6}:{(76,1),(78,1),(80,1),(119,1)}
        55:{3,4,6,7}:{(33,1),(77,1),(79,1),(80,1)}
        56:{1,3,4,5,7}:{(34,1),(38,1),(73,1),(81,1),(86,1),(125,1)}
        57:{1,2,4,6}:{(34,1),(35,1),(36,1),(81,1),(82,1)}
        58:{1,2,3,6,7}:{(35,1),(37,1),(40,1),(83,1),(127,1)}
        59:{2,3,5,6}:{(36,1),(78,1),(82,1),(84,1),(119,1)}
        60:{2,3,4,6,7}:{(36,1),(37,1),(42,1),(79,1),(83,1),(84,1),(120,1)}
        61:{1,3,4,6}:{(38,1),(39,1),(85,1),(86,1)}
        62:{1,2,4,5,6}:{(39,1),(41,1),(82,1),(85,1),(87,1),(124,1)}
        63:{1,2,4,7}:{(39,1),(40,1),(42,1),(86,1)}
        64:{2,3,4,5,7}:{(41,1),(42,1),(84,1),(87,1),(88,1),(146,1)}
        65:{1,2,4,5}:{(43,1),(44,1),(89,1),(90,1)}
        66:{1,2,3,5,6}:{(43,1),(45,1),(70,1),(90,1),(91,1),(116,1),(128,1)}
        67:{1,3,4,6}:{(44,1),(45,1),(90,1),(93,1)}
        68:{1,3,5,7}:{(45,1),(46,1),(72,1),(93,1)}
        69:{1,2,4,5,7}:{(47,1),(48,1),(65,1),(94,1),(95,1),(113,1),(134,1)}
        70:{1,2,3,6}:{(47,1),(95,1)}
        71:{1,3,4,6}:{(48,1),(95,1),(97,1),(99,1)}
        72:{1,3,6,7}:{(49,1),(68,1)}
        73:{3,4,5,7}:{(50,1),(99,1),(137,1)}
        74:{1,2,4,6}:{(50,1),(51,1),(99,1)}
        75:{1,2,3,5,6,7}:{(51,1),(52,1),(53,1),(58,1),(96,1),(101,1),(107,1),(134,1),(137,1),(140,1),(151,1)}
        76:{1,4,5,6}:{(54,1),(97,1),(102,1)}
        77:{1,4,6,7}:{(52,1),(55,1),(102,1)}
        78:{2,4,5,6}:{(54,1),(59,1),(103,1)}
        79:{2,4,6,7}:{(53,1),(55,1),(103,1)}
        80:{3,4,5,7}:{(54,1),(55,1),(102,1),(103,1),(137,1)}
        81:{1,3,4,6}:{(56,1),(57,1),(99,1),(105,1)}
        82:{1,2,5,6}:{(57,1),(59,1),(105,1),(107,1)}
        83:{1,2,4,6,7}:{(57,1),(58,1),(60,1),(63,1),(106,1),(107,1)}
        84:{2,3,5,7}:{(59,1),(60,1),(103,1),(107,1),(137,1)}
        85:{1,3,5,6}:{(61,1),(62,1),(109,1)}
        86:{1,3,4,7}:{(61,1),(63,1),(109,1)}
        87:{1,2,4,5,7}:{(62,1),(63,1),(64,1),(107,1),(109,1),(110,1),(139,1)}
        88:{2,3,4,6,7}:{(64,1),(108,1),(110,1),(152,1)}
        89:{2,3,4,5}:{(65,1),(111,1)}
        90:{1,2,4,6}:{(65,1),(66,1),(67,1),(111,1),(113,1)}
        91:{1,2,3,5,7}:{(66,1),(68,1),(96,1),(113,1),(134,1),(141,1)}
        92:{1,3,4,5,6}:{(67,1),(97,1),(112,1),(114,1),(136,1)}
        93:{1,3,4,7}:{(67,1),(68,1),(113,1)}
        94:{2,3,4,5,7}:{(69,1),(73,1),(89,1),(115,1),(129,1),(144,1)}
        95:{1,2,4,6}:{(69,1),(70,1),(71,1),(115,1),(116,1)}
        96:{1,2,3,6,7}:{(70,1),(72,1),(91,1),(117,1),(149,1)}
        97:{1,3,5,6}:{(71,1),(76,1),(116,1),(118,1),(119,1)}
        98:{1,3,4,6,7}:{(71,1),(72,1),(77,1),(93,1),(117,1),(118,1),(120,1)}
        99:{3,4,6}:{(73,1),(74,1),(119,1)}
       100:{1,2,4,5,6}:{(74,1),(76,1),(78,1),(82,1),(116,1),(119,1),(121,1),(124,1),(143,1)}
       101:{1,2,4,6,7}:{(74,1),(75,1),(77,1),(79,1),(120,1),(121,1),(148,1),(153,1)}
       102:{1,4,5,7}:{(76,1),(77,1),(80,1),(118,1)}
       103:{2,4,5,7}:{(78,1),(79,1),(80,1),(84,1)}
       104:{3,4,5,6,7}:{(80,1),(122,1),(123,1),(147,1)}
       105:{1,3,5,6}:{(81,1),(82,1),(119,1),(124,1),(125,1)}
       106:{1,3,4,6,7}:{(81,1),(83,1),(86,1),(120,1),(125,1),(127,1),(148,1)}
       107:{1,2,5,7}:{(82,1),(83,1),(84,1),(125,1)}
       108:{2,3,5,6,7}:{(84,1),(88,1),(123,1),(126,1),(147,1)}
       109:{1,3,5,7}:{(85,1),(86,1),(87,1),(127,1)}
       110:{1,2,4,6,7}:{(87,1),(88,1),(126,1),(127,1),(148,1)}
       111:{2,3,4,6}:{(89,1),(90,1),(128,1),(129,1)}
       112:{1,2,4,5,6}:{(90,1),(92,1),(116,1),(128,1),(130,1),(143,1)}
       113:{1,2,4,7}:{(90,1),(91,1),(93,1),(129,1)}
       114:{1,3,4,5,7}:{(92,1),(93,1),(118,1),(130,1),(131,1),(146,1)}
       115:{2,3,4,6}:{(94,1),(95,1),(99,1),(132,1)}
       116:{1,2,5,6}:{(95,1),(97,1),(132,1),(134,1)}
       117:{1,2,4,6,7}:{(95,1),(96,1),(98,1),(113,1),(133,1),(134,1)}
       118:{1,3,5,7}:{(97,1),(98,1),(102,1),(134,1),(137,1)}
       119:{3,5,6}:{(99,1),(100,1),(137,1)}
       120:{3,4,6,7}:{(99,1),(101,1),(137,1)}
       121:{1,2,4,5,7}:{(100,1),(101,1),(102,1),(103,1),(107,1),(134,1),(137,1),(139,1),(150,1)}
       122:{1,4,5,6,7}:{(102,1),(104,1),(135,1)}
       123:{2,4,5,6,7}:{(103,1),(104,1),(108,1)}
       124:{1,4,5,6}:{(105,1),(136,1),(139,1)}
       125:{1,3,5,7}:{(105,1),(106,1),(107,1),(137,1),(139,1)}
       126:{1,2,5,6,7}:{(107,1),(108,1),(110,1),(140,1)}
       127:{1,3,6,7}:{(109,1),(110,1)}
       128:{2,3,5,6}:{(111,1),(112,1),(141,1)}
       129:{2,3,4,7}:{(111,1),(113,1),(141,1)}
       130:{1,2,4,5,7}:{(112,1),(113,1),(114,1),(134,1),(141,1),(142,1),(150,1)}
       131:{1,3,4,6,7}:{(114,1),(135,1),(142,1),(152,1)}
       132:{2,3,5,6}:{(115,1),(116,1),(119,1),(143,1),(144,1)}
       133:{2,3,4,6,7}:{(115,1),(117,1),(120,1),(129,1),(144,1),(149,1),(153,1)}
       134:{1,2,5,7}:{(116,1),(117,1),(118,1),(144,1)}
       135:{1,3,5,6,7}:{(118,1),(122,1),(131,1),(145,1),(147,1)}
       136:{3,4,5,6}:{(119,1),(124,1),(143,1),(146,1)}
       137:{3,5,7}:{(119,1),(120,1),(121,1)}
       138:{1,2,4,5,6,7}:{(121,1),(122,1),(123,1),(126,1),(145,1),(147,1),(148,1),(153,1)}
       139:{1,4,5,7}:{(124,1),(125,1),(146,1),(148,1)}
       140:{1,3,5,6,7}:{(125,1),(126,1),(127,1),(147,1),(148,1)}
       141:{2,3,5,7}:{(128,1),(129,1),(130,1),(149,1)}
       142:{1,2,4,6,7}:{(130,1),(131,1),(145,1),(149,1),(153,1)}
       143:{2,4,5,6}:{(132,1),(136,1),(150,1)}
       144:{2,3,5,7}:{(132,1),(133,1),(134,1),(137,1),(150,1)}
       145:{1,2,5,6,7}:{(134,1),(135,1),(142,1),(151,1)}
       146:{3,4,5,7}:{(136,1),(137,1),(139,1),(150,1),(152,1)}
       147:{3,5,6,7}:{(137,1),(138,1),(152,1)}
       148:{1,4,6,7}:{(139,1),(140,1),(152,1)}
       149:{2,3,6,7}:{(141,1),(142,1)}
       150:{2,4,5,7}:{(143,1),(144,1),(146,1),(153,1)}
       151:{2,3,5,6,7}:{(144,1),(145,1),(147,1),(149,1),(153,1)}
       152:{3,4,6,7}:{(146,1),(147,1),(148,1),(153,1)}
       153:{2,4,6,7}:{(150,1),(151,1),(152,1)}

2284 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1),(4,1)}
        2:{1,2,3,4,5,7}:{(0,1),(4,1),(5,1),(15,1),(54,1),(55,1)}
        3:{1,2,3,5,6}:{(1,1),(7,1),(8,1)}
        4:{1,2,3,4,7}:{(1,1),(8,1)}
        5:{1,2,3,4,6}:{(2,1),(10,1)}
        6:{2,3,4,5,6}:{(7,1),(11,1),(22,1)}
        7:{1,2,4,5,6}:{(3,1),(6,1),(12,1),(13,1)}
        8:{1,2,3,5,7}:{(3,1),(4,1),(13,1),(14,1)}
        9:{1,2,3,4,6,7}:{(4,1),(5,1),(14,1),(15,1),(26,1),(53,1),(54,1)}
       10:{1,2,3,5,6}:{(5,1),(15,1),(16,1)}
       11:{2,3,4,5,7}:{(6,1),(13,1),(17,1),(27,1)}
       12:{1,3,4,5,6}:{(7,1),(18,1),(22,1)}
       13:{1,2,4,5,7}:{(7,1),(8,1),(11,1),(18,1),(19,1)}
       14:{1,2,3,6,7}:{(8,1),(19,1)}
       15:{1,2,3,5,7}:{(9,1),(10,1),(21,1)}
       16:{1,2,4,5,6}:{(10,1),(21,1),(22,1)}
       17:{2,3,4,6,7}:{(11,1),(19,1),(23,1),(33,1)}
       18:{1,3,4,5,7}:{(12,1),(13,1),(24,1),(27,1)}
       19:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(24,1),(25,1)}
       20:{1,2,3,5,6,7}:{(14,1),(15,1),(25,1),(26,1),(39,1),(52,1),(53,1)}
       21:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(27,1)}
       22:{3,4,5,6}:{(16,1),(27,1)}
       23:{2,3,5,6,7}:{(17,1),(25,1),(30,1),(39,1)}
       24:{1,3,4,6,7}:{(18,1),(19,1),(31,1),(33,1)}
       25:{1,2,5,6,7}:{(19,1),(23,1),(31,1)}
       26:{1,2,4,6,7}:{(20,1),(21,1),(33,1)}
       27:{3,4,5,7}:{(21,1),(22,1),(33,1)}
       28:{1,3,4,5,6}:{(22,1),(34,1),(36,1)}
       29:{2,3,4,5,6}:{(22,1),(35,1),(36,1)}
       30:{2,4,5,6,7}:{(23,1),(37,1)}
       31:{1,3,5,6,7}:{(24,1),(25,1),(38,1),(39,1)}
       32:{1,2,4,5,6,7}:{(25,1),(26,1),(30,1),(38,1),(39,1),(44,1),(51,1),(52,1)}
       33:{3,4,6,7}:{(26,1),(27,1),(39,1)}
       34:{1,3,4,5,7}:{(27,1),(28,1),(40,1),(42,1)}
       35:{2,3,4,5,7}:{(27,1),(29,1),(41,1),(42,1)}
       36:{1,2,4,5,6}:{(28,1),(29,1),(42,1),(43,1)}
       37:{3,4,5,6,7}:{(30,1),(39,1),(44,1)}
       38:{1,4,5,6,7}:{(31,1),(45,1)}
       39:{3,5,6,7}:{(32,1),(33,1)}
       40:{1,3,4,6,7}:{(33,1),(34,1),(46,1),(48,1)}
       41:{2,3,4,6,7}:{(33,1),(35,1),(47,1),(48,1)}
       42:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(48,1),(49,1)}
       43:{1,2,3,5,6}:{(36,1),(49,1),(50,1)}
       44:{1,4,5,6,7}:{(37,1),(46,1)}
       45:{3,4,5,6,7}:{(38,1),(39,1),(51,1)}
       46:{1,3,5,6,7}:{(39,1),(40,1),(44,1),(52,1)}
       47:{2,3,5,6,7}:{(39,1),(41,1),(51,1),(52,1)}
       48:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(52,1),(53,1)}
       49:{1,2,3,5,7}:{(42,1),(43,1),(53,1),(54,1)}
       50:{1,2,3,4,6}:{(43,1),(54,1),(55,1)}
       51:{2,4,5,6,7}:{(45,1),(47,1)}
       52:{1,2,5,6,7}:{(46,1),(47,1),(48,1)}
       53:{1,2,3,6,7}:{(48,1),(49,1)}
       54:{1,2,3,4,7}:{(49,1),(50,1)}
       55:{1,2,3,4,5}:{(50,1)}

2285 :  0:{1,2,3,4,7}:{(1,1),(2,1),(33,1),(59,1)}
        1:{1,2,3,4,6}:{(0,1),(5,1),(7,1),(18,1),(20,1),(43,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        3:{1,3,4,5,7}:{(6,1),(8,1),(19,1),(25,1),(47,1)}
        4:{2,3,4,5,7}:{(6,1),(9,1),(19,1),(27,1),(47,1)}
        5:{1,2,3,5}:{(1,1),(10,1)}
        6:{1,2,4,5,7}:{(2,1),(3,1),(4,1),(10,1),(12,1),(33,1),(34,1)}
        7:{1,2,3,6}:{(2,1),(12,1)}
        8:{1,3,4,6}:{(3,1),(12,1),(14,1),(31,1)}
        9:{2,3,4,6}:{(4,1),(12,1),(16,1),(31,1)}
       10:{1,2,4,5}:{(5,1),(19,1),(20,1)}
       11:{1,2,3,5,6}:{(5,1),(7,1),(20,1),(21,1),(22,1),(43,1),(46,1),(72,1)}
       12:{1,2,4,6}:{(6,1),(7,1),(8,1),(9,1),(22,1)}
       13:{1,2,3,6,7}:{(7,1),(21,1),(23,1),(76,1),(83,1)}
       14:{1,3,5,6}:{(8,1),(22,1),(24,1),(25,1),(46,1)}
       15:{1,3,4,6,7}:{(8,1),(23,1),(25,1),(47,1),(52,1),(76,1)}
       16:{2,3,5,6}:{(9,1),(22,1),(26,1),(27,1),(46,1)}
       17:{2,3,4,6,7}:{(9,1),(23,1),(27,1),(47,1),(55,1),(76,1)}
       18:{1,2,3,4}:{(28,1)}
       19:{3,4,5}:{(10,1),(31,1)}
       20:{1,2,4,6}:{(10,1),(11,1),(31,1),(33,1)}
       21:{1,2,3,5,7}:{(11,1),(13,1),(33,1),(34,1),(59,1),(64,1),(80,1)}
       22:{1,2,5,6}:{(12,1),(14,1),(16,1),(34,1)}
       23:{1,2,4,6,7}:{(12,1),(13,1),(15,1),(17,1),(33,1),(34,1)}
       24:{1,4,5,6}:{(14,1),(35,1),(36,1)}
       25:{1,3,5,7}:{(14,1),(15,1),(34,1),(36,1),(64,1)}
       26:{2,4,5,6}:{(16,1),(38,1),(39,1)}
       27:{2,3,5,7}:{(16,1),(17,1),(34,1),(39,1),(64,1)}
       28:{1,2,3,5}:{(18,1),(42,1),(43,1)}
       29:{1,3,4,5}:{(19,1),(42,1),(44,1)}
       30:{2,3,4,5}:{(19,1),(42,1),(45,1)}
       31:{3,4,6}:{(19,1),(20,1),(46,1),(47,1)}
       32:{1,2,4,5,6}:{(20,1),(22,1),(24,1),(26,1),(46,1),(48,1),(50,1),(53,1),(72,1)}
       33:{1,2,4,7}:{(20,1),(21,1),(47,1)}
       34:{1,2,5,7}:{(22,1),(23,1),(25,1),(27,1)}
       35:{3,4,5,6}:{(24,1),(46,1),(50,1),(51,1)}
       36:{1,4,5,7}:{(24,1),(25,1),(51,1),(52,1)}
       37:{1,3,5,6,7}:{(25,1),(49,1),(52,1),(71,1),(76,1)}
       38:{3,4,5,6}:{(26,1),(46,1),(53,1),(54,1)}
       39:{2,4,5,7}:{(26,1),(27,1),(54,1),(55,1)}
       40:{2,3,5,6,7}:{(27,1),(49,1),(55,1),(56,1),(76,1)}
       41:{2,4,5,6,7}:{(55,1),(56,1)}
       42:{1,2,4,5}:{(28,1),(29,1),(30,1),(58,1)}
       43:{1,2,3,6}:{(28,1),(58,1),(59,1)}
       44:{1,3,4,6}:{(29,1),(31,1),(58,1),(60,1),(61,1)}
       45:{2,3,4,6}:{(30,1),(31,1),(58,1),(62,1),(63,1)}
       46:{3,5,6}:{(31,1),(32,1),(64,1)}
       47:{3,4,7}:{(31,1),(33,1),(64,1)}
       48:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(36,1),(39,1),(64,1),(65,1),(66,1),(68,1),(80,1)}
       49:{1,2,5,6,7}:{(34,1),(37,1),(40,1),(65,1),(70,1),(79,1)}
       50:{2,4,5,6}:{(35,1),(62,1),(66,1)}
       51:{3,4,5,7}:{(35,1),(36,1),(64,1),(66,1),(67,1)}
       52:{1,4,6,7}:{(36,1),(37,1),(67,1)}
       53:{1,4,5,6}:{(38,1),(60,1),(68,1)}
       54:{3,4,5,7}:{(38,1),(39,1),(64,1),(68,1),(69,1)}
       55:{2,4,6,7}:{(39,1),(40,1),(69,1)}
       56:{3,5,6,7}:{(41,1),(69,1),(70,1)}
       57:{1,4,5,6,7}:{(52,1),(71,1)}
       58:{1,2,4,6}:{(42,1),(43,1),(44,1),(45,1),(72,1),(73,1)}
       59:{1,2,3,7}:{(43,1),(73,1)}
       60:{1,3,5,6}:{(44,1),(46,1),(53,1),(72,1),(74,1)}
       61:{1,3,4,7}:{(44,1),(47,1),(73,1),(74,1)}
       62:{2,3,5,6}:{(45,1),(46,1),(50,1),(72,1),(75,1)}
       63:{2,3,4,7}:{(45,1),(47,1),(73,1),(75,1)}
       64:{3,5,7}:{(46,1),(47,1),(48,1),(76,1)}
       65:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(55,1),(76,1),(77,1),(78,1),(83,1)}
       66:{2,4,5,7}:{(50,1),(51,1),(75,1),(77,1)}
       67:{3,4,6,7}:{(51,1),(52,1),(71,1),(76,1),(77,1)}
       68:{1,4,5,7}:{(53,1),(54,1),(74,1),(78,1)}
       69:{3,4,6,7}:{(54,1),(55,1),(56,1),(76,1),(78,1)}
       70:{1,5,6,7}:{(56,1),(78,1)}
       71:{3,5,6,7}:{(57,1),(67,1),(79,1)}
       72:{1,2,5,6}:{(58,1),(60,1),(62,1),(80,1)}
       73:{1,2,4,7}:{(58,1),(59,1),(61,1),(63,1),(80,1)}
       74:{1,3,5,7}:{(60,1),(61,1),(64,1),(68,1),(80,1),(81,1)}
       75:{2,3,5,7}:{(62,1),(63,1),(64,1),(66,1),(80,1),(82,1)}
       76:{3,6,7}:{(64,1),(65,1)}
       77:{2,4,6,7}:{(66,1),(67,1),(79,1),(82,1)}
       78:{1,4,6,7}:{(68,1),(69,1),(70,1),(81,1)}
       79:{2,5,6,7}:{(71,1),(77,1)}
       80:{1,2,5,7}:{(72,1),(73,1),(74,1),(75,1),(83,1)}
       81:{1,3,6,7}:{(74,1),(76,1),(78,1),(83,1)}
       82:{2,3,6,7}:{(75,1),(76,1),(77,1),(83,1)}
       83:{1,2,6,7}:{(80,1),(81,1),(82,1)}

2286 :   0:{1,3,4,5,6}:{(2,1),(3,1),(44,1),(90,1),(108,1)}
         1:{1,2,3,4,6}:{(5,1),(6,1),(29,1),(30,1)}
         2:{1,2,4,5,6}:{(0,1),(9,1),(10,1),(30,1),(73,1),(84,1)}
         3:{1,3,4,5,7}:{(0,1),(7,1),(10,1),(66,1),(115,1),(131,1)}
         4:{2,3,4,5,6}:{(11,1),(12,1),(21,1),(59,1),(133,1)}
         5:{1,2,3,4,7}:{(1,1),(14,1),(50,1)}
         6:{1,2,3,5}:{(1,1),(15,1)}
         7:{1,3,4,6,7}:{(3,1),(18,1),(20,1),(109,1)}
         8:{2,3,4,5}:{(15,1),(21,1)}
         9:{2,3,5,6}:{(2,1),(21,1),(22,1)}
        10:{1,2,4,5,7}:{(2,1),(3,1),(20,1),(22,1),(50,1),(100,1),(110,1)}
        11:{1,2,4,5,6}:{(4,1),(25,1),(26,1),(30,1),(73,1),(113,1)}
        12:{2,3,4,5,7}:{(4,1),(23,1),(26,1),(39,1),(86,1),(147,1)}
        13:{1,2,3,4,6,7}:{(5,1),(27,1),(29,1),(67,1),(71,1),(74,1),(117,1),(123,1),(149,1)}
        14:{1,2,3,5,7}:{(5,1),(6,1),(28,1),(29,1)}
        15:{1,2,4,5}:{(6,1),(8,1),(24,1),(30,1)}
        16:{1,2,3,5,6}:{(6,1),(9,1),(25,1),(29,1),(30,1),(31,1),(73,1)}
        17:{3,4,5,6,7}:{(34,1),(35,1),(83,1),(147,1)}
        18:{1,3,5,6,7}:{(7,1),(35,1),(36,1),(83,1),(115,1)}
        19:{2,3,4,5,7}:{(8,1),(28,1),(37,1),(39,1),(70,1),(86,1)}
        20:{1,2,4,6,7}:{(7,1),(10,1),(36,1),(38,1),(85,1)}
        21:{2,3,4,6}:{(8,1),(9,1),(30,1),(39,1)}
        22:{2,3,5,7}:{(9,1),(10,1),(38,1),(39,1)}
        23:{2,3,4,6,7}:{(12,1),(41,1),(43,1),(134,1)}
        24:{1,3,4,5}:{(15,1),(44,1)}
        25:{1,3,5,6}:{(11,1),(44,1),(45,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(43,1),(45,1),(50,1),(100,1),(135,1)}
        27:{1,2,3,5,7}:{(13,1),(46,1),(47,1),(100,1),(142,1),(153,1)}
        28:{1,2,4,5,7}:{(14,1),(15,1),(19,1),(42,1),(48,1),(50,1),(100,1)}
        29:{1,2,3,6}:{(14,1),(48,1)}
        30:{1,2,4,6}:{(15,1),(16,1),(21,1),(44,1),(50,1)}
        31:{1,2,3,5,7}:{(16,1),(22,1),(45,1),(49,1),(50,1),(100,1)}
        32:{2,3,4,5,6}:{(52,1),(53,1),(105,1),(108,1),(140,1)}
        33:{1,3,4,5,6}:{(54,1),(55,1),(103,1),(133,1),(138,1)}
        34:{2,4,5,6,7}:{(17,1),(56,1),(152,1)}
        35:{1,4,5,6,7}:{(17,1),(18,1),(135,1)}
        36:{1,2,5,6,7}:{(18,1),(20,1),(58,1),(100,1)}
        37:{2,3,4,6}:{(19,1),(48,1),(59,1),(97,1)}
        38:{2,3,6,7}:{(20,1),(22,1)}
        39:{2,3,4,7}:{(21,1),(22,1),(50,1)}
        40:{3,4,5,6,7}:{(61,1),(62,1),(112,1),(131,1)}
        41:{2,3,5,6,7}:{(23,1),(61,1),(63,1),(86,1),(112,1)}
        42:{1,3,4,5,7}:{(24,1),(28,1),(64,1),(66,1),(70,1),(115,1)}
        43:{1,2,4,6,7}:{(23,1),(26,1),(63,1),(65,1),(114,1)}
        44:{1,3,4,6}:{(24,1),(25,1),(30,1),(66,1)}
        45:{1,3,5,7}:{(25,1),(26,1),(65,1),(66,1)}
        46:{1,2,4,5,7}:{(27,1),(70,1),(71,1)}
        47:{1,2,3,5,6}:{(27,1),(29,1),(71,1),(73,1),(117,1),(122,1),(148,1)}
        48:{1,2,4,6}:{(28,1),(29,1),(37,1),(64,1),(73,1)}
        49:{1,2,3,6,7}:{(29,1),(31,1),(38,1),(65,1),(74,1)}
        50:{1,2,4,7}:{(30,1),(31,1),(39,1),(66,1)}
        51:{1,2,3,4,6}:{(67,1),(75,1),(117,1),(125,1)}
        52:{1,2,4,5,6}:{(32,1),(77,1),(78,1),(125,1),(129,1),(148,1)}
        53:{2,3,4,5,7}:{(32,1),(68,1),(78,1),(128,1),(131,1),(151,1)}
        54:{1,2,4,5,6}:{(33,1),(80,1),(81,1),(125,1),(145,1),(148,1)}
        55:{1,3,4,5,7}:{(33,1),(69,1),(81,1),(127,1),(147,1),(150,1)}
        56:{2,3,5,6,7}:{(34,1),(68,1),(82,1),(83,1),(151,1)}
        57:{1,2,4,5,6,7}:{(34,1),(35,1),(36,1),(82,1),(83,1),(85,1),(124,1),(130,1)}
        58:{2,3,5,6,7}:{(36,1),(38,1),(83,1),(85,1),(86,1)}
        59:{2,3,5,6}:{(37,1),(73,1),(84,1),(86,1),(122,1)}
        60:{2,3,4,6,7}:{(37,1),(38,1),(39,1),(74,1),(85,1),(86,1),(123,1)}
        61:{2,4,5,6,7}:{(40,1),(41,1),(110,1)}
        62:{1,4,5,6,7}:{(40,1),(87,1),(144,1)}
        63:{1,2,5,6,7}:{(41,1),(43,1),(89,1),(100,1)}
        64:{1,3,4,6}:{(42,1),(48,1),(90,1),(97,1)}
        65:{1,3,6,7}:{(43,1),(45,1)}
        66:{1,3,4,7}:{(44,1),(45,1),(50,1)}
        67:{1,2,3,4,7}:{(51,1),(92,1),(143,1)}
        68:{2,3,4,6,7}:{(53,1),(56,1),(94,1),(109,1)}
        69:{1,3,4,6,7}:{(55,1),(87,1),(96,1),(134,1)}
        70:{3,4,5,7}:{(46,1),(97,1),(142,1)}
        71:{1,2,4,6}:{(46,1),(47,1),(97,1)}
        72:{1,2,3,5,6,7}:{(47,1),(49,1),(58,1),(89,1),(99,1),(100,1),(107,1),(132,1),(137,1),(142,1),(153,1)}
        73:{1,2,5,6}:{(48,1),(59,1),(90,1),(100,1)}
        74:{1,2,4,6,7}:{(48,1),(49,1),(50,1),(60,1),(91,1),(100,1)}
        75:{1,2,3,5}:{(51,1),(101,1)}
        76:{1,3,4,5}:{(101,1),(103,1)}
        77:{1,3,5,6}:{(52,1),(103,1),(104,1)}
        78:{1,2,4,5,7}:{(52,1),(53,1),(94,1),(104,1),(143,1),(144,1),(153,1)}
        79:{2,3,4,5}:{(101,1),(105,1)}
        80:{2,3,5,6}:{(54,1),(105,1),(106,1)}
        81:{1,2,4,5,7}:{(54,1),(55,1),(96,1),(106,1),(143,1),(152,1),(153,1)}
        82:{1,2,5,6,7}:{(56,1),(94,1),(107,1),(153,1)}
        83:{3,5,6,7}:{(57,1),(109,1),(142,1)}
        84:{2,4,5,6}:{(59,1),(108,1),(110,1)}
        85:{2,4,6,7}:{(58,1),(109,1),(110,1)}
        86:{2,3,5,7}:{(59,1),(60,1),(100,1),(110,1),(142,1)}
        87:{1,3,5,6,7}:{(62,1),(69,1),(111,1),(112,1),(150,1)}
        88:{1,2,4,5,6,7}:{(61,1),(62,1),(63,1),(111,1),(112,1),(114,1),(124,1),(146,1)}
        89:{1,3,5,6,7}:{(63,1),(65,1),(112,1),(114,1),(115,1)}
        90:{1,3,5,6}:{(64,1),(73,1),(113,1),(115,1),(122,1)}
        91:{1,3,4,6,7}:{(64,1),(65,1),(66,1),(74,1),(114,1),(115,1),(123,1)}
        92:{1,2,3,5,7}:{(67,1),(75,1),(116,1),(117,1)}
        93:{1,3,4,5,7}:{(70,1),(76,1),(116,1),(118,1),(127,1),(150,1)}
        94:{1,2,4,6,7}:{(68,1),(78,1),(82,1),(119,1),(130,1)}
        95:{2,3,4,5,7}:{(70,1),(79,1),(116,1),(120,1),(128,1),(151,1)}
        96:{1,2,4,6,7}:{(69,1),(81,1),(111,1),(121,1),(146,1)}
        97:{3,4,6}:{(70,1),(71,1),(122,1)}
        98:{1,2,4,5,6}:{(71,1),(73,1),(84,1),(113,1),(122,1),(124,1),(129,1),(145,1),(148,1)}
        99:{1,2,4,6,7}:{(71,1),(72,1),(85,1),(114,1),(123,1),(124,1),(130,1),(146,1)}
       100:{1,2,5,7}:{(73,1),(74,1),(86,1),(115,1)}
       101:{1,2,4,5}:{(75,1),(76,1),(79,1),(125,1)}
       102:{1,2,3,5,6}:{(75,1),(77,1),(80,1),(117,1),(125,1),(126,1),(148,1)}
       103:{1,3,4,6}:{(76,1),(77,1),(125,1),(127,1)}
       104:{1,3,5,7}:{(77,1),(78,1),(119,1),(127,1)}
       105:{2,3,4,6}:{(79,1),(80,1),(125,1),(128,1)}
       106:{2,3,5,7}:{(80,1),(81,1),(121,1),(128,1)}
       107:{1,3,5,6,7}:{(82,1),(83,1),(119,1),(130,1),(150,1)}
       108:{3,4,5,6}:{(84,1),(122,1),(129,1),(131,1)}
       109:{3,4,6,7}:{(83,1),(85,1),(130,1),(131,1)}
       110:{2,4,5,7}:{(84,1),(85,1),(86,1),(131,1)}
       111:{1,2,5,6,7}:{(87,1),(96,1),(132,1),(153,1)}
       112:{3,5,6,7}:{(88,1),(134,1),(142,1)}
       113:{1,4,5,6}:{(90,1),(133,1),(135,1)}
       114:{1,4,6,7}:{(89,1),(134,1),(135,1)}
       115:{1,3,5,7}:{(90,1),(91,1),(100,1),(135,1),(142,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(101,1),(136,1),(143,1),(153,1)}
       117:{1,2,3,6}:{(92,1),(136,1)}
       118:{1,3,4,6}:{(93,1),(97,1),(136,1),(138,1)}
       119:{1,3,6,7}:{(94,1),(104,1)}
       120:{2,3,4,6}:{(95,1),(97,1),(136,1),(140,1)}
       121:{2,3,6,7}:{(96,1),(106,1)}
       122:{3,5,6}:{(97,1),(98,1),(142,1)}
       123:{3,4,6,7}:{(97,1),(99,1),(142,1)}
       124:{1,2,4,5,7}:{(98,1),(99,1),(100,1),(110,1),(135,1),(142,1),(144,1),(152,1),(153,1)}
       125:{1,2,4,6}:{(101,1),(102,1),(103,1),(105,1),(143,1)}
       126:{1,2,3,5,7}:{(102,1),(104,1),(106,1),(137,1),(143,1),(153,1)}
       127:{1,3,4,7}:{(103,1),(104,1),(143,1)}
       128:{2,3,4,7}:{(105,1),(106,1),(143,1)}
       129:{1,4,5,6}:{(108,1),(138,1),(144,1)}
       130:{1,4,6,7}:{(107,1),(109,1),(144,1)}
       131:{3,4,5,7}:{(108,1),(109,1),(110,1),(142,1),(144,1)}
       132:{2,3,5,6,7}:{(111,1),(112,1),(121,1),(146,1),(151,1)}
       133:{3,4,5,6}:{(113,1),(122,1),(145,1),(147,1)}
       134:{3,4,6,7}:{(112,1),(114,1),(146,1),(147,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(115,1),(147,1)}
       136:{1,2,4,6}:{(116,1),(117,1),(118,1),(120,1),(148,1)}
       137:{1,2,3,6,7}:{(117,1),(119,1),(121,1),(126,1),(149,1)}
       138:{1,3,5,6}:{(118,1),(122,1),(129,1),(148,1),(150,1)}
       139:{1,3,4,6,7}:{(118,1),(119,1),(123,1),(127,1),(130,1),(149,1),(150,1)}
       140:{2,3,5,6}:{(120,1),(122,1),(145,1),(148,1),(151,1)}
       141:{2,3,4,6,7}:{(120,1),(121,1),(123,1),(128,1),(146,1),(149,1),(151,1)}
       142:{3,5,7}:{(122,1),(123,1),(124,1)}
       143:{1,2,4,7}:{(125,1),(126,1),(127,1),(128,1)}
       144:{1,4,5,7}:{(129,1),(130,1),(131,1),(150,1)}
       145:{2,4,5,6}:{(133,1),(140,1),(152,1)}
       146:{2,4,6,7}:{(132,1),(134,1),(152,1)}
       147:{3,4,5,7}:{(133,1),(134,1),(135,1),(142,1),(152,1)}
       148:{1,2,5,6}:{(136,1),(138,1),(140,1),(153,1)}
       149:{1,2,4,6,7}:{(136,1),(137,1),(139,1),(141,1),(143,1),(153,1)}
       150:{1,3,5,7}:{(138,1),(139,1),(142,1),(144,1),(153,1)}
       151:{2,3,5,7}:{(140,1),(141,1),(142,1),(152,1),(153,1)}
       152:{2,4,5,7}:{(145,1),(146,1),(147,1),(151,1)}
       153:{1,2,5,7}:{(148,1),(149,1),(150,1),(151,1)}

2287 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{1,3,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{1,3,4,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,2,4,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{1,3,4,5,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,4,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,2,4,5,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{1,3,4,5,6}:{(6,1),(12,1),(27,1)}
       10:{1,2,3,4,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,3,5,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6}:{(8,1),(9,1),(16,1),(23,1)}
       13:{1,3,4,5,6,7}:{(9,1),(17,1),(32,1)}
       14:{1,2,3,5,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,5,7}:{(11,1),(18,1),(20,1)}
       16:{2,3,5,6}:{(11,1),(12,1),(20,1)}
       17:{1,2,4,5,6,7}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,2,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(14,1),(16,1),(23,1),(31,1)}
       20:{2,3,4,6}:{(15,1),(16,1),(23,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(26,1)}
       22:{1,3,4,5,7}:{(18,1),(27,1),(34,1)}
       23:{1,2,4,6}:{(18,1),(19,1),(20,1),(27,1)}
       24:{1,2,3,5,6,7}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,6}:{(20,1),(28,1),(30,1)}
       26:{2,3,4,6,7}:{(20,1),(21,1),(29,1),(30,1)}
       27:{1,3,4,6}:{(22,1),(23,1),(31,1)}
       28:{1,2,4,5,6}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,5,7}:{(25,1),(26,1),(33,1)}
       31:{1,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{1,3,4,6,7}:{(27,1),(29,1),(34,1)}
       33:{1,2,4,5,7}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,3,5,7}:{(31,1),(32,1),(33,1)}

2288 :   0:{1,3,4,5,6}:{(1,1),(2,1),(35,1),(120,1),(133,1)}
         1:{1,3,4,5,7}:{(0,1),(4,1),(5,1),(54,1),(97,1),(115,1)}
         2:{1,2,4,5,6}:{(0,1),(5,1),(6,1),(22,1),(113,1),(116,1)}
         3:{2,3,4,5,6}:{(7,1),(8,1),(15,1),(93,1),(147,1)}
         4:{1,3,4,6,7}:{(1,1),(12,1),(13,1),(91,1)}
         5:{1,2,4,5,7}:{(1,1),(2,1),(13,1),(14,1),(42,1),(88,1),(92,1)}
         6:{2,3,5,6}:{(2,1),(14,1),(15,1)}
         7:{2,3,4,5,7}:{(3,1),(16,1),(17,1),(29,1),(70,1),(135,1)}
         8:{1,2,4,5,6}:{(3,1),(17,1),(18,1),(22,1),(113,1),(136,1)}
         9:{1,2,3,5,6}:{(6,1),(18,1),(21,1),(22,1),(24,1),(66,1),(113,1)}
        10:{1,2,3,4,6}:{(22,1),(23,1),(24,1),(66,1)}
        11:{3,4,5,6,7}:{(25,1),(26,1),(68,1),(135,1)}
        12:{1,3,5,6,7}:{(4,1),(25,1),(27,1),(68,1),(97,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(27,1),(28,1),(69,1)}
        14:{2,3,5,7}:{(5,1),(6,1),(28,1),(29,1)}
        15:{2,3,4,6}:{(6,1),(22,1),(29,1),(30,1)}
        16:{2,3,4,6,7}:{(7,1),(32,1),(33,1),(118,1)}
        17:{1,2,4,5,7}:{(7,1),(8,1),(33,1),(34,1),(42,1),(88,1),(119,1)}
        18:{1,3,5,6}:{(8,1),(34,1),(35,1)}
        19:{1,3,4,5,6}:{(36,1),(37,1),(84,1),(147,1),(151,1)}
        20:{2,3,4,5,6}:{(38,1),(39,1),(81,1),(133,1),(150,1)}
        21:{1,2,3,5,7}:{(9,1),(14,1),(34,1),(41,1),(42,1),(88,1)}
        22:{1,2,4,6}:{(9,1),(15,1),(35,1),(42,1),(43,1)}
        23:{1,2,3,4,7}:{(10,1),(42,1),(44,1)}
        24:{1,2,3,5}:{(10,1),(43,1)}
        25:{1,4,5,6,7}:{(11,1),(12,1),(119,1)}
        26:{2,4,5,6,7}:{(11,1),(45,1),(146,1)}
        27:{1,2,5,6,7}:{(12,1),(13,1),(47,1),(88,1)}
        28:{2,3,6,7}:{(13,1),(14,1)}
        29:{2,3,4,7}:{(14,1),(15,1),(42,1)}
        30:{2,3,4,5}:{(15,1),(43,1)}
        31:{3,4,5,6,7}:{(50,1),(51,1),(95,1),(115,1)}
        32:{2,3,5,6,7}:{(16,1),(51,1),(52,1),(70,1),(95,1)}
        33:{1,2,4,6,7}:{(16,1),(17,1),(52,1),(53,1),(96,1)}
        34:{1,3,5,7}:{(17,1),(18,1),(53,1),(54,1)}
        35:{1,3,4,6}:{(18,1),(22,1),(54,1),(55,1)}
        36:{1,3,4,5,7}:{(19,1),(56,1),(57,1),(107,1),(135,1),(142,1)}
        37:{1,2,4,5,6}:{(19,1),(57,1),(58,1),(100,1),(152,1),(153,1)}
        38:{2,3,4,5,7}:{(20,1),(59,1),(60,1),(104,1),(115,1),(140,1)}
        39:{1,2,4,5,6}:{(20,1),(60,1),(61,1),(100,1),(145,1),(153,1)}
        40:{1,2,3,4,6,7}:{(23,1),(63,1),(64,1),(66,1),(101,1),(109,1),(112,1),(137,1),(139,1)}
        41:{1,2,3,6,7}:{(21,1),(28,1),(53,1),(64,1),(66,1)}
        42:{1,2,4,7}:{(21,1),(22,1),(29,1),(54,1)}
        43:{1,2,4,5}:{(22,1),(24,1),(30,1),(55,1)}
        44:{1,2,3,5,7}:{(23,1),(24,1),(65,1),(66,1)}
        45:{2,3,5,6,7}:{(26,1),(59,1),(67,1),(68,1),(140,1)}
        46:{1,2,4,5,6,7}:{(25,1),(26,1),(27,1),(67,1),(68,1),(69,1),(111,1),(114,1)}
        47:{2,3,5,6,7}:{(27,1),(28,1),(68,1),(69,1),(70,1)}
        48:{2,3,4,6,7}:{(28,1),(29,1),(64,1),(69,1),(70,1),(71,1),(109,1)}
        49:{2,3,4,5,7}:{(29,1),(30,1),(65,1),(70,1),(71,1),(110,1)}
        50:{1,4,5,6,7}:{(31,1),(72,1),(132,1)}
        51:{2,4,5,6,7}:{(31,1),(32,1),(92,1)}
        52:{1,2,5,6,7}:{(32,1),(33,1),(74,1),(88,1)}
        53:{1,3,6,7}:{(33,1),(34,1)}
        54:{1,3,4,7}:{(34,1),(35,1),(42,1)}
        55:{1,3,4,5}:{(35,1),(43,1)}
        56:{1,3,4,6,7}:{(36,1),(72,1),(79,1),(118,1)}
        57:{1,2,4,5,7}:{(36,1),(37,1),(79,1),(80,1),(122,1),(146,1),(148,1)}
        58:{2,3,5,6}:{(37,1),(80,1),(81,1)}
        59:{2,3,4,6,7}:{(38,1),(45,1),(82,1),(91,1)}
        60:{1,2,4,5,7}:{(38,1),(39,1),(82,1),(83,1),(122,1),(132,1),(148,1)}
        61:{1,3,5,6}:{(39,1),(83,1),(84,1)}
        62:{1,2,3,5,6,7}:{(41,1),(47,1),(74,1),(85,1),(87,1),(88,1),(90,1),(117,1),(121,1),(129,1),(148,1)}
        63:{1,2,3,5,7}:{(40,1),(86,1),(87,1),(88,1),(129,1),(148,1)}
        64:{1,2,4,6,7}:{(41,1),(42,1),(48,1),(75,1),(88,1),(89,1)}
        65:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(49,1),(76,1),(88,1),(89,1)}
        66:{1,2,3,6}:{(44,1),(89,1)}
        67:{1,2,5,6,7}:{(45,1),(82,1),(90,1),(148,1)}
        68:{3,5,6,7}:{(46,1),(91,1),(129,1)}
        69:{2,4,6,7}:{(47,1),(91,1),(92,1)}
        70:{2,3,5,7}:{(48,1),(88,1),(92,1),(93,1),(129,1)}
        71:{2,3,4,6}:{(49,1),(89,1),(93,1),(130,1)}
        72:{1,3,5,6,7}:{(50,1),(56,1),(94,1),(95,1),(142,1)}
        73:{1,2,4,5,6,7}:{(50,1),(51,1),(52,1),(94,1),(95,1),(96,1),(111,1),(134,1)}
        74:{1,3,5,6,7}:{(52,1),(53,1),(95,1),(96,1),(97,1)}
        75:{1,3,4,6,7}:{(53,1),(54,1),(64,1),(96,1),(97,1),(98,1),(109,1)}
        76:{1,3,4,5,7}:{(54,1),(55,1),(65,1),(97,1),(98,1),(110,1)}
        77:{1,2,3,5,6}:{(58,1),(61,1),(99,1),(100,1),(102,1),(139,1),(153,1)}
        78:{1,2,3,4,6}:{(100,1),(101,1),(102,1),(139,1)}
        79:{1,2,4,6,7}:{(56,1),(57,1),(94,1),(103,1),(134,1)}
        80:{2,3,5,7}:{(57,1),(58,1),(103,1),(104,1)}
        81:{2,3,4,6}:{(58,1),(100,1),(104,1),(105,1)}
        82:{1,2,4,6,7}:{(59,1),(60,1),(67,1),(106,1),(114,1)}
        83:{1,3,5,7}:{(60,1),(61,1),(106,1),(107,1)}
        84:{1,3,4,6}:{(61,1),(100,1),(107,1),(108,1)}
        85:{1,2,4,6,7}:{(62,1),(69,1),(96,1),(109,1),(111,1),(112,1),(114,1),(134,1)}
        86:{1,2,4,5,7}:{(63,1),(110,1),(112,1)}
        87:{1,2,3,5,6}:{(63,1),(66,1),(112,1),(113,1),(139,1),(144,1),(153,1)}
        88:{1,2,5,7}:{(64,1),(70,1),(97,1),(113,1)}
        89:{1,2,4,6}:{(65,1),(66,1),(71,1),(98,1),(113,1)}
        90:{1,3,5,6,7}:{(67,1),(68,1),(106,1),(114,1),(142,1)}
        91:{3,4,6,7}:{(68,1),(69,1),(114,1),(115,1)}
        92:{2,4,5,7}:{(69,1),(70,1),(115,1),(116,1)}
        93:{2,3,5,6}:{(70,1),(71,1),(113,1),(116,1),(144,1)}
        94:{1,2,5,6,7}:{(72,1),(79,1),(117,1),(148,1)}
        95:{3,5,6,7}:{(73,1),(118,1),(129,1)}
        96:{1,4,6,7}:{(74,1),(118,1),(119,1)}
        97:{1,3,5,7}:{(75,1),(88,1),(119,1),(120,1),(129,1)}
        98:{1,3,4,6}:{(76,1),(89,1),(120,1),(130,1)}
        99:{1,2,3,5,7}:{(77,1),(80,1),(83,1),(121,1),(122,1),(148,1)}
       100:{1,2,4,6}:{(77,1),(81,1),(84,1),(122,1),(123,1)}
       101:{1,2,3,4,7}:{(78,1),(122,1),(124,1)}
       102:{1,2,3,5}:{(78,1),(123,1)}
       103:{2,3,6,7}:{(79,1),(80,1)}
       104:{2,3,4,7}:{(80,1),(81,1),(122,1)}
       105:{2,3,4,5}:{(81,1),(123,1)}
       106:{1,3,6,7}:{(82,1),(83,1)}
       107:{1,3,4,7}:{(83,1),(84,1),(122,1)}
       108:{1,3,4,5}:{(84,1),(123,1)}
       109:{3,4,6,7}:{(85,1),(129,1),(130,1)}
       110:{3,4,5,7}:{(86,1),(129,1),(130,1)}
       111:{1,2,4,5,7}:{(85,1),(88,1),(92,1),(119,1),(129,1),(131,1),(132,1),(146,1),(148,1)}
       112:{1,2,4,6}:{(86,1),(87,1),(130,1)}
       113:{1,2,5,6}:{(88,1),(89,1),(93,1),(120,1)}
       114:{1,4,6,7}:{(90,1),(91,1),(132,1)}
       115:{3,4,5,7}:{(91,1),(92,1),(129,1),(132,1),(133,1)}
       116:{2,4,5,6}:{(92,1),(93,1),(133,1)}
       117:{2,3,5,6,7}:{(94,1),(95,1),(103,1),(134,1),(140,1)}
       118:{3,4,6,7}:{(95,1),(96,1),(134,1),(135,1)}
       119:{1,4,5,7}:{(96,1),(97,1),(135,1),(136,1)}
       120:{1,3,5,6}:{(97,1),(98,1),(113,1),(136,1),(144,1)}
       121:{1,2,3,6,7}:{(99,1),(103,1),(106,1),(137,1),(139,1)}
       122:{1,2,4,7}:{(99,1),(100,1),(104,1),(107,1)}
       123:{1,2,4,5}:{(100,1),(102,1),(105,1),(108,1)}
       124:{1,2,3,5,7}:{(101,1),(102,1),(138,1),(139,1)}
       125:{2,3,4,6,7}:{(103,1),(104,1),(109,1),(134,1),(137,1),(140,1),(141,1)}
       126:{2,3,4,5,7}:{(104,1),(105,1),(110,1),(138,1),(140,1),(141,1)}
       127:{1,3,4,6,7}:{(106,1),(107,1),(109,1),(114,1),(137,1),(142,1),(143,1)}
       128:{1,3,4,5,7}:{(107,1),(108,1),(110,1),(138,1),(142,1),(143,1)}
       129:{3,5,7}:{(109,1),(111,1),(144,1)}
       130:{3,4,6}:{(110,1),(112,1),(144,1)}
       131:{1,2,4,5,6}:{(111,1),(112,1),(113,1),(116,1),(136,1),(144,1),(145,1),(152,1),(153,1)}
       132:{1,4,5,7}:{(114,1),(115,1),(142,1),(145,1)}
       133:{3,4,5,6}:{(115,1),(116,1),(144,1),(145,1)}
       134:{2,4,6,7}:{(117,1),(118,1),(146,1)}
       135:{3,4,5,7}:{(118,1),(119,1),(129,1),(146,1),(147,1)}
       136:{1,4,5,6}:{(119,1),(120,1),(147,1)}
       137:{1,2,4,6,7}:{(121,1),(122,1),(125,1),(127,1),(148,1),(149,1)}
       138:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(126,1),(128,1),(148,1),(149,1)}
       139:{1,2,3,6}:{(124,1),(149,1)}
       140:{2,3,5,7}:{(125,1),(129,1),(146,1),(148,1),(150,1)}
       141:{2,3,4,6}:{(126,1),(130,1),(149,1),(150,1)}
       142:{1,3,5,7}:{(127,1),(129,1),(132,1),(148,1),(151,1)}
       143:{1,3,4,6}:{(128,1),(130,1),(149,1),(151,1)}
       144:{3,5,6}:{(129,1),(130,1),(131,1)}
       145:{1,4,5,6}:{(132,1),(133,1),(151,1)}
       146:{2,4,5,7}:{(134,1),(135,1),(140,1),(152,1)}
       147:{3,4,5,6}:{(135,1),(136,1),(144,1),(152,1)}
       148:{1,2,5,7}:{(137,1),(140,1),(142,1),(153,1)}
       149:{1,2,4,6}:{(138,1),(139,1),(141,1),(143,1),(153,1)}
       150:{2,3,5,6}:{(140,1),(141,1),(144,1),(152,1),(153,1)}
       151:{1,3,5,6}:{(142,1),(143,1),(144,1),(145,1),(153,1)}
       152:{2,4,5,6}:{(146,1),(147,1),(150,1)}
       153:{1,2,5,6}:{(148,1),(149,1),(150,1),(151,1)}

2289 :  0:{1,2,3,4,7}:{(1,1),(2,1),(36,1),(41,1)}
        1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(7,1),(21,1),(24,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        3:{2,3,4,5,7}:{(6,1),(8,1),(23,1),(32,1),(55,1)}
        4:{1,2,3,4}:{(9,1)}
        5:{1,2,3,5}:{(1,1),(11,1)}
        6:{1,2,4,5,7}:{(2,1),(3,1),(11,1),(14,1),(15,1),(41,1),(47,1)}
        7:{1,2,3,6}:{(2,1),(15,1)}
        8:{2,3,4,6}:{(3,1),(15,1),(17,1),(39,1)}
        9:{1,2,3,5}:{(4,1),(20,1),(21,1)}
       10:{1,3,4,5}:{(20,1),(22,1),(23,1)}
       11:{1,2,4,5}:{(5,1),(23,1),(24,1)}
       12:{1,2,3,5,6}:{(5,1),(7,1),(21,1),(24,1),(25,1),(30,1),(51,1),(54,1)}
       13:{3,4,5,6}:{(26,1),(27,1),(28,1),(54,1)}
       14:{1,3,4,5,7}:{(6,1),(23,1),(29,1),(55,1),(60,1)}
       15:{1,2,4,6}:{(6,1),(7,1),(8,1),(29,1),(30,1)}
       16:{1,2,3,6,7}:{(7,1),(25,1),(31,1),(73,1),(75,1)}
       17:{2,3,5,6}:{(8,1),(27,1),(30,1),(32,1),(54,1)}
       18:{2,3,4,6,7}:{(8,1),(31,1),(32,1),(55,1),(58,1),(75,1)}
       19:{2,4,5,6,7}:{(33,1),(58,1)}
       20:{1,2,4,5}:{(9,1),(10,1),(34,1),(35,1)}
       21:{1,2,3,6}:{(9,1),(35,1),(36,1)}
       22:{1,3,4,6}:{(10,1),(35,1),(37,1),(38,1),(39,1)}
       23:{3,4,5}:{(11,1),(39,1)}
       24:{1,2,4,6}:{(11,1),(12,1),(39,1),(41,1)}
       25:{1,2,3,5,7}:{(12,1),(16,1),(36,1),(41,1),(47,1),(64,1),(67,1)}
       26:{1,4,5,6}:{(13,1),(37,1),(42,1)}
       27:{2,4,5,6}:{(13,1),(17,1),(43,1)}
       28:{3,4,5,7}:{(13,1),(42,1),(43,1),(44,1),(67,1)}
       29:{1,3,4,6}:{(14,1),(15,1),(39,1),(45,1)}
       30:{1,2,5,6}:{(15,1),(17,1),(45,1),(47,1)}
       31:{1,2,4,6,7}:{(15,1),(16,1),(18,1),(41,1),(46,1),(47,1)}
       32:{2,3,5,7}:{(17,1),(18,1),(43,1),(47,1),(67,1)}
       33:{3,5,6,7}:{(19,1),(44,1),(48,1)}
       34:{2,3,4,5}:{(20,1),(23,1),(50,1)}
       35:{1,2,4,6}:{(20,1),(21,1),(22,1),(50,1),(51,1),(52,1)}
       36:{1,2,3,7}:{(21,1),(52,1)}
       37:{1,3,5,6}:{(22,1),(26,1),(51,1),(53,1),(54,1)}
       38:{1,3,4,7}:{(22,1),(52,1),(53,1),(55,1)}
       39:{3,4,6}:{(23,1),(24,1),(54,1),(55,1)}
       40:{1,2,4,5,6}:{(24,1),(26,1),(27,1),(30,1),(51,1),(54,1),(56,1),(59,1),(71,1)}
       41:{1,2,4,7}:{(24,1),(25,1),(55,1)}
       42:{1,4,5,7}:{(26,1),(28,1),(53,1),(57,1)}
       43:{2,4,5,7}:{(27,1),(28,1),(32,1),(58,1)}
       44:{3,4,6,7}:{(28,1),(33,1),(57,1),(58,1),(75,1)}
       45:{1,3,5,6}:{(29,1),(30,1),(54,1),(59,1),(60,1)}
       46:{1,3,4,6,7}:{(29,1),(31,1),(55,1),(60,1),(75,1),(76,1)}
       47:{1,2,5,7}:{(30,1),(31,1),(32,1),(60,1)}
       48:{1,5,6,7}:{(33,1),(57,1)}
       49:{2,3,5,6,7}:{(32,1),(33,1),(58,1),(61,1),(75,1)}
       50:{2,3,4,6}:{(34,1),(35,1),(39,1),(62,1),(63,1)}
       51:{1,2,5,6}:{(35,1),(37,1),(62,1),(64,1)}
       52:{1,2,4,7}:{(35,1),(36,1),(38,1),(63,1),(64,1)}
       53:{1,3,5,7}:{(37,1),(38,1),(42,1),(64,1),(65,1),(67,1)}
       54:{3,5,6}:{(39,1),(40,1),(67,1)}
       55:{3,4,7}:{(39,1),(41,1),(67,1)}
       56:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(43,1),(47,1),(64,1),(67,1),(68,1),(69,1),(77,1)}
       57:{1,4,6,7}:{(42,1),(44,1),(48,1),(65,1)}
       58:{2,4,6,7}:{(43,1),(44,1),(49,1)}
       59:{1,4,5,6}:{(45,1),(66,1),(69,1)}
       60:{1,3,5,7}:{(45,1),(46,1),(47,1),(67,1),(69,1)}
       61:{1,2,5,6,7}:{(47,1),(48,1),(49,1),(68,1),(70,1),(83,1)}
       62:{2,3,5,6}:{(50,1),(51,1),(54,1),(71,1),(72,1)}
       63:{2,3,4,7}:{(50,1),(52,1),(55,1),(72,1)}
       64:{1,2,5,7}:{(51,1),(52,1),(53,1),(72,1),(73,1)}
       65:{1,3,6,7}:{(53,1),(57,1),(73,1),(75,1)}
       66:{3,4,5,6}:{(54,1),(59,1),(71,1),(74,1)}
       67:{3,5,7}:{(54,1),(55,1),(56,1),(75,1)}
       68:{1,2,4,6,7}:{(56,1),(57,1),(58,1),(61,1),(73,1),(75,1),(76,1),(81,1)}
       69:{1,4,5,7}:{(59,1),(60,1),(74,1),(76,1)}
       70:{1,3,5,6,7}:{(60,1),(61,1),(75,1),(76,1),(82,1)}
       71:{2,4,5,6}:{(62,1),(66,1),(77,1)}
       72:{2,3,5,7}:{(62,1),(63,1),(64,1),(67,1),(77,1),(78,1)}
       73:{1,2,6,7}:{(64,1),(65,1),(78,1)}
       74:{3,4,5,7}:{(66,1),(67,1),(69,1),(77,1),(79,1)}
       75:{3,6,7}:{(67,1),(68,1)}
       76:{1,4,6,7}:{(69,1),(70,1),(79,1)}
       77:{2,4,5,7}:{(71,1),(72,1),(74,1),(81,1)}
       78:{2,3,6,7}:{(72,1),(73,1),(75,1),(81,1)}
       79:{3,4,6,7}:{(74,1),(75,1),(76,1),(81,1),(82,1)}
       80:{1,4,5,6,7}:{(76,1),(82,1)}
       81:{2,4,6,7}:{(77,1),(78,1),(79,1),(83,1)}
       82:{3,5,6,7}:{(79,1),(80,1),(83,1)}
       83:{2,5,6,7}:{(81,1),(82,1)}

2290 :   0:{1,3,4,5,6}:{(2,1),(3,1),(39,1),(67,1),(94,1)}
         1:{3,4,5,6,7}:{(5,1),(6,1),(24,1),(98,1)}
         2:{1,3,4,5,7}:{(0,1),(7,1),(8,1),(51,1),(54,1),(83,1)}
         3:{1,2,4,5,6}:{(0,1),(8,1),(9,1),(27,1),(82,1),(84,1)}
         4:{2,3,4,5,6}:{(10,1),(11,1),(60,1),(67,1),(102,1)}
         5:{1,4,5,6,7}:{(1,1),(13,1),(93,1)}
         6:{2,4,5,6,7}:{(1,1),(12,1),(101,1)}
         7:{1,3,4,6,7}:{(2,1),(13,1),(15,1),(36,1)}
         8:{1,2,4,5,7}:{(2,1),(3,1),(15,1),(17,1),(40,1),(66,1),(69,1)}
         9:{2,3,5,6}:{(3,1),(17,1),(18,1)}
        10:{2,3,4,5,7}:{(4,1),(19,1),(20,1),(51,1),(75,1),(95,1)}
        11:{1,2,4,5,6}:{(4,1),(20,1),(21,1),(45,1),(81,1),(96,1)}
        12:{2,3,5,6,7}:{(6,1),(19,1),(22,1),(24,1),(95,1)}
        13:{1,3,5,6,7}:{(5,1),(7,1),(23,1),(24,1),(83,1)}
        14:{1,2,4,5,6,7}:{(5,1),(6,1),(22,1),(23,1),(24,1),(49,1),(50,1),(80,1)}
        15:{1,2,4,6,7}:{(7,1),(8,1),(23,1),(25,1),(50,1)}
        16:{1,2,3,5,6}:{(9,1),(26,1),(27,1),(55,1),(84,1),(85,1)}
        17:{2,3,5,7}:{(8,1),(9,1),(25,1),(28,1)}
        18:{2,3,4,6}:{(9,1),(27,1),(28,1),(29,1)}
        19:{2,3,4,6,7}:{(10,1),(12,1),(30,1),(36,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(30,1),(32,1),(61,1),(65,1),(87,1)}
        21:{1,3,5,6}:{(11,1),(32,1),(33,1)}
        22:{1,2,5,6,7}:{(12,1),(30,1),(34,1),(87,1)}
        23:{1,2,5,6,7}:{(13,1),(15,1),(35,1),(69,1)}
        24:{3,5,6,7}:{(14,1),(36,1),(91,1)}
        25:{2,3,6,7}:{(15,1),(17,1)}
        26:{1,2,3,5,7}:{(16,1),(17,1),(37,1),(40,1),(69,1),(71,1)}
        27:{1,2,4,6}:{(16,1),(18,1),(39,1),(40,1),(41,1)}
        28:{2,3,4,7}:{(17,1),(18,1),(40,1)}
        29:{2,3,4,5}:{(18,1),(41,1)}
        30:{1,2,4,6,7}:{(19,1),(20,1),(22,1),(43,1),(49,1)}
        31:{1,2,3,5,6}:{(21,1),(44,1),(45,1),(76,1),(96,1),(97,1)}
        32:{1,3,5,7}:{(20,1),(21,1),(43,1),(46,1)}
        33:{1,3,4,6}:{(21,1),(45,1),(46,1),(47,1)}
        34:{1,3,5,6,7}:{(22,1),(24,1),(43,1),(49,1),(74,1)}
        35:{2,3,5,6,7}:{(23,1),(24,1),(25,1),(50,1),(53,1)}
        36:{3,4,6,7}:{(24,1),(49,1),(50,1),(51,1)}
        37:{1,2,3,6,7}:{(25,1),(26,1),(52,1),(85,1)}
        38:{2,3,4,6,7}:{(25,1),(28,1),(50,1),(52,1),(53,1),(57,1),(79,1)}
        39:{1,3,4,6}:{(27,1),(54,1),(55,1),(85,1)}
        40:{1,2,4,7}:{(26,1),(27,1),(28,1),(54,1)}
        41:{1,2,4,5}:{(27,1),(29,1),(55,1)}
        42:{2,3,4,5,7}:{(28,1),(29,1),(53,1),(56,1),(57,1),(98,1)}
        43:{1,3,6,7}:{(30,1),(32,1)}
        44:{1,2,3,5,7}:{(31,1),(32,1),(58,1),(61,1),(87,1),(89,1)}
        45:{1,2,4,6}:{(31,1),(33,1),(60,1),(61,1),(62,1)}
        46:{1,3,4,7}:{(32,1),(33,1),(61,1)}
        47:{1,3,4,5}:{(33,1),(62,1)}
        48:{1,2,3,5,6,7}:{(34,1),(35,1),(37,1),(58,1),(64,1),(69,1),(87,1),(91,1),(94,1),(102,1)}
        49:{1,4,6,7}:{(34,1),(36,1),(65,1)}
        50:{2,4,6,7}:{(35,1),(36,1),(66,1)}
        51:{3,4,5,7}:{(36,1),(65,1),(66,1),(67,1),(91,1)}
        52:{1,2,4,6,7}:{(37,1),(38,1),(40,1),(68,1),(69,1),(72,1)}
        53:{2,3,5,7}:{(38,1),(66,1),(69,1),(70,1),(91,1)}
        54:{1,3,4,7}:{(39,1),(40,1),(71,1)}
        55:{1,3,5}:{(39,1),(41,1)}
        56:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(69,1),(71,1),(72,1),(93,1)}
        57:{2,3,4,6}:{(42,1),(70,1),(72,1),(103,1)}
        58:{1,2,3,6,7}:{(43,1),(44,1),(73,1),(97,1)}
        59:{1,3,4,6,7}:{(43,1),(46,1),(49,1),(73,1),(74,1),(78,1),(79,1)}
        60:{2,3,4,6}:{(45,1),(75,1),(76,1),(97,1)}
        61:{1,2,4,7}:{(44,1),(45,1),(46,1),(75,1)}
        62:{1,2,4,5}:{(45,1),(47,1),(76,1)}
        63:{1,3,4,5,7}:{(46,1),(47,1),(74,1),(77,1),(78,1),(98,1)}
        64:{1,2,4,6,7}:{(48,1),(49,1),(50,1),(79,1),(80,1),(100,1),(104,1)}
        65:{1,4,5,7}:{(49,1),(51,1),(74,1),(81,1)}
        66:{2,4,5,7}:{(50,1),(51,1),(53,1),(82,1)}
        67:{3,4,5,6}:{(51,1),(81,1),(82,1),(99,1)}
        68:{1,3,4,6,7}:{(52,1),(54,1),(79,1),(83,1),(85,1),(100,1)}
        69:{1,2,5,7}:{(52,1),(53,1),(83,1),(84,1)}
        70:{2,3,5,6}:{(53,1),(57,1),(82,1),(84,1),(99,1)}
        71:{1,3,5,7}:{(54,1),(55,1),(56,1),(85,1)}
        72:{1,2,4,6}:{(56,1),(57,1),(84,1),(85,1),(100,1)}
        73:{1,2,4,6,7}:{(58,1),(59,1),(61,1),(86,1),(87,1),(90,1)}
        74:{1,3,5,7}:{(59,1),(65,1),(87,1),(88,1),(91,1)}
        75:{2,3,4,7}:{(60,1),(61,1),(89,1)}
        76:{2,3,5}:{(60,1),(62,1)}
        77:{1,2,4,5,7}:{(61,1),(62,1),(63,1),(87,1),(89,1),(90,1),(101,1)}
        78:{1,3,4,6}:{(63,1),(88,1),(90,1),(103,1)}
        79:{3,4,6,7}:{(64,1),(91,1),(103,1)}
        80:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(69,1),(87,1),(91,1),(92,1),(93,1),(101,1)}
        81:{1,4,5,6}:{(65,1),(67,1),(88,1)}
        82:{2,4,5,6}:{(66,1),(67,1),(70,1)}
        83:{1,3,5,7}:{(68,1),(69,1),(91,1),(93,1),(94,1)}
        84:{1,2,5,6}:{(69,1),(70,1),(72,1),(94,1)}
        85:{1,3,6}:{(71,1),(72,1)}
        86:{2,3,4,6,7}:{(73,1),(75,1),(79,1),(95,1),(97,1),(104,1)}
        87:{1,2,5,7}:{(73,1),(74,1),(95,1),(96,1)}
        88:{1,3,5,6}:{(74,1),(78,1),(81,1),(96,1),(99,1)}
        89:{2,3,5,7}:{(75,1),(76,1),(77,1),(97,1)}
        90:{1,2,4,6}:{(77,1),(78,1),(96,1),(97,1),(104,1)}
        91:{3,5,7}:{(79,1),(80,1),(99,1)}
        92:{1,2,4,5,6}:{(80,1),(81,1),(82,1),(84,1),(96,1),(99,1),(100,1),(104,1)}
        93:{1,4,5,7}:{(83,1),(98,1),(100,1)}
        94:{1,3,5,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        95:{2,3,5,7}:{(86,1),(87,1),(91,1),(101,1),(102,1)}
        96:{1,2,5,6}:{(87,1),(88,1),(90,1),(102,1)}
        97:{2,3,6}:{(89,1),(90,1)}
        98:{3,4,5,7}:{(91,1),(93,1),(101,1),(103,1)}
        99:{3,5,6}:{(91,1),(92,1),(103,1)}
       100:{1,4,6}:{(93,1),(94,1),(103,1)}
       101:{2,4,5,7}:{(95,1),(98,1),(104,1)}
       102:{2,3,5,6}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       103:{3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       104:{2,4,6}:{(101,1),(102,1),(103,1)}

2291 :   0:{2,3,4,5,6}:{(3,1),(4,1),(54,1),(61,1),(105,1)}
         1:{3,4,5,6,7}:{(5,1),(6,1),(33,1),(146,1)}
         2:{1,2,3,4,6}:{(7,1),(9,1),(35,1),(39,1)}
         3:{1,2,4,5,6}:{(0,1),(11,1),(12,1),(39,1),(76,1),(82,1)}
         4:{2,3,4,5,7}:{(0,1),(8,1),(12,1),(80,1),(86,1),(125,1)}
         5:{2,4,5,6,7}:{(1,1),(15,1),(139,1)}
         6:{1,4,5,6,7}:{(1,1),(16,1),(150,1)}
         7:{1,2,3,4,7}:{(2,1),(18,1),(63,1)}
         8:{2,3,4,6,7}:{(4,1),(15,1),(20,1),(55,1)}
         9:{1,2,3,5}:{(2,1),(21,1)}
        10:{1,3,4,5}:{(21,1),(23,1)}
        11:{1,3,5,6}:{(3,1),(23,1),(24,1)}
        12:{1,2,4,5,7}:{(3,1),(4,1),(20,1),(24,1),(63,1),(102,1),(107,1)}
        13:{1,3,4,5,6}:{(26,1),(27,1),(54,1),(111,1),(132,1)}
        14:{1,2,3,4,6,7}:{(7,1),(28,1),(30,1),(35,1),(70,1),(74,1),(83,1),(117,1),(120,1)}
        15:{2,3,5,6,7}:{(5,1),(8,1),(31,1),(33,1),(125,1)}
        16:{1,3,5,6,7}:{(6,1),(29,1),(32,1),(33,1),(144,1)}
        17:{1,2,4,5,6,7}:{(5,1),(6,1),(31,1),(32,1),(33,1),(77,1),(79,1),(121,1)}
        18:{1,2,3,5,7}:{(7,1),(9,1),(34,1),(35,1)}
        19:{1,3,4,5,7}:{(10,1),(34,1),(36,1),(42,1),(73,1),(84,1)}
        20:{1,2,4,6,7}:{(8,1),(12,1),(31,1),(37,1),(77,1)}
        21:{1,2,4,5}:{(9,1),(10,1),(38,1),(39,1)}
        22:{1,2,3,5,6}:{(9,1),(11,1),(35,1),(39,1),(40,1),(82,1),(85,1)}
        23:{1,3,4,6}:{(10,1),(11,1),(39,1),(42,1)}
        24:{1,3,5,7}:{(11,1),(12,1),(37,1),(42,1)}
        25:{1,2,3,4,6}:{(28,1),(43,1),(70,1),(90,1)}
        26:{1,2,4,5,6}:{(13,1),(45,1),(46,1),(78,1),(90,1),(116,1)}
        27:{1,3,4,5,7}:{(13,1),(29,1),(46,1),(80,1),(129,1),(144,1)}
        28:{1,2,3,4,7}:{(25,1),(47,1),(113,1)}
        29:{1,3,4,6,7}:{(16,1),(27,1),(49,1),(55,1)}
        30:{1,2,3,5,7}:{(14,1),(50,1),(51,1),(107,1),(134,1),(137,1)}
        31:{1,2,5,6,7}:{(15,1),(20,1),(52,1),(107,1)}
        32:{1,2,5,6,7}:{(16,1),(49,1),(53,1),(134,1)}
        33:{3,5,6,7}:{(17,1),(55,1),(137,1)}
        34:{1,2,4,5,7}:{(18,1),(19,1),(21,1),(56,1),(57,1),(63,1),(107,1)}
        35:{1,2,3,6}:{(18,1),(57,1)}
        36:{1,3,4,6}:{(19,1),(57,1),(59,1),(99,1)}
        37:{1,3,6,7}:{(20,1),(24,1)}
        38:{2,3,4,5}:{(21,1),(61,1)}
        39:{1,2,4,6}:{(21,1),(22,1),(23,1),(61,1),(63,1)}
        40:{1,2,3,5,7}:{(22,1),(24,1),(58,1),(63,1),(107,1),(109,1)}
        41:{1,3,4,5,6}:{(23,1),(59,1),(62,1),(64,1),(136,1)}
        42:{1,3,4,7}:{(23,1),(24,1),(63,1)}
        43:{1,2,3,5}:{(25,1),(65,1)}
        44:{2,3,4,5}:{(65,1),(67,1)}
        45:{2,3,5,6}:{(26,1),(67,1),(68,1)}
        46:{1,2,4,5,7}:{(26,1),(27,1),(49,1),(68,1),(103,1),(113,1),(134,1)}
        47:{1,2,3,5,7}:{(28,1),(43,1),(69,1),(70,1)}
        48:{2,3,4,5,7}:{(44,1),(69,1),(71,1),(73,1),(93,1),(118,1)}
        49:{1,2,4,6,7}:{(29,1),(32,1),(46,1),(72,1),(79,1)}
        50:{1,2,4,5,7}:{(30,1),(73,1),(74,1)}
        51:{1,2,3,5,6}:{(30,1),(35,1),(70,1),(74,1),(82,1),(116,1),(119,1)}
        52:{1,3,5,6,7}:{(31,1),(33,1),(37,1),(77,1),(84,1)}
        53:{2,3,5,6,7}:{(32,1),(33,1),(72,1),(79,1),(118,1)}
        54:{3,4,5,6}:{(76,1),(78,1),(80,1),(119,1)}
        55:{3,4,6,7}:{(33,1),(77,1),(79,1),(80,1)}
        56:{2,3,4,5,7}:{(34,1),(38,1),(73,1),(81,1),(86,1),(125,1)}
        57:{1,2,4,6}:{(34,1),(35,1),(36,1),(81,1),(82,1)}
        58:{1,2,3,6,7}:{(35,1),(37,1),(40,1),(83,1),(127,1)}
        59:{1,3,5,6}:{(36,1),(76,1),(82,1),(84,1),(119,1)}
        60:{1,3,4,6,7}:{(36,1),(37,1),(42,1),(77,1),(83,1),(84,1),(120,1)}
        61:{2,3,4,6}:{(38,1),(39,1),(85,1),(86,1)}
        62:{1,2,4,5,6}:{(39,1),(41,1),(82,1),(85,1),(87,1),(124,1)}
        63:{1,2,4,7}:{(39,1),(40,1),(42,1),(86,1)}
        64:{1,3,4,5,7}:{(41,1),(42,1),(84,1),(87,1),(88,1),(146,1)}
        65:{1,2,4,5}:{(43,1),(44,1),(89,1),(90,1)}
        66:{1,2,3,5,6}:{(43,1),(45,1),(70,1),(90,1),(91,1),(116,1),(128,1)}
        67:{2,3,4,6}:{(44,1),(45,1),(90,1),(93,1)}
        68:{2,3,5,7}:{(45,1),(46,1),(72,1),(93,1)}
        69:{1,2,4,5,7}:{(47,1),(48,1),(65,1),(94,1),(95,1),(113,1),(134,1)}
        70:{1,2,3,6}:{(47,1),(95,1)}
        71:{2,3,4,6}:{(48,1),(95,1),(97,1),(99,1)}
        72:{2,3,6,7}:{(49,1),(68,1)}
        73:{3,4,5,7}:{(50,1),(99,1),(137,1)}
        74:{1,2,4,6}:{(50,1),(51,1),(99,1)}
        75:{1,2,3,5,6,7}:{(51,1),(52,1),(53,1),(58,1),(96,1),(101,1),(107,1),(134,1),(137,1),(140,1),(151,1)}
        76:{1,4,5,6}:{(54,1),(59,1),(102,1)}
        77:{1,4,6,7}:{(52,1),(55,1),(102,1)}
        78:{2,4,5,6}:{(54,1),(97,1),(103,1)}
        79:{2,4,6,7}:{(53,1),(55,1),(103,1)}
        80:{3,4,5,7}:{(54,1),(55,1),(102,1),(103,1),(137,1)}
        81:{2,3,4,6}:{(56,1),(57,1),(99,1),(105,1)}
        82:{1,2,5,6}:{(57,1),(59,1),(105,1),(107,1)}
        83:{1,2,4,6,7}:{(57,1),(58,1),(60,1),(63,1),(106,1),(107,1)}
        84:{1,3,5,7}:{(59,1),(60,1),(102,1),(107,1),(137,1)}
        85:{2,3,5,6}:{(61,1),(62,1),(109,1)}
        86:{2,3,4,7}:{(61,1),(63,1),(109,1)}
        87:{1,2,4,5,7}:{(62,1),(63,1),(64,1),(107,1),(109,1),(110,1),(139,1)}
        88:{1,3,4,6,7}:{(64,1),(108,1),(110,1),(152,1)}
        89:{1,3,4,5}:{(65,1),(111,1)}
        90:{1,2,4,6}:{(65,1),(66,1),(67,1),(111,1),(113,1)}
        91:{1,2,3,5,7}:{(66,1),(68,1),(96,1),(113,1),(134,1),(141,1)}
        92:{2,3,4,5,6}:{(67,1),(97,1),(112,1),(114,1),(136,1)}
        93:{2,3,4,7}:{(67,1),(68,1),(113,1)}
        94:{1,3,4,5,7}:{(69,1),(73,1),(89,1),(115,1),(129,1),(144,1)}
        95:{1,2,4,6}:{(69,1),(70,1),(71,1),(115,1),(116,1)}
        96:{1,2,3,6,7}:{(70,1),(72,1),(91,1),(117,1),(149,1)}
        97:{2,3,5,6}:{(71,1),(78,1),(116,1),(118,1),(119,1)}
        98:{2,3,4,6,7}:{(71,1),(72,1),(79,1),(93,1),(117,1),(118,1),(120,1)}
        99:{3,4,6}:{(73,1),(74,1),(119,1)}
       100:{1,2,4,5,6}:{(74,1),(76,1),(78,1),(82,1),(116,1),(119,1),(121,1),(124,1),(143,1)}
       101:{1,2,4,6,7}:{(74,1),(75,1),(77,1),(79,1),(120,1),(121,1),(148,1),(153,1)}
       102:{1,4,5,7}:{(76,1),(77,1),(80,1),(84,1)}
       103:{2,4,5,7}:{(78,1),(79,1),(80,1),(118,1)}
       104:{3,4,5,6,7}:{(80,1),(122,1),(123,1),(147,1)}
       105:{2,3,5,6}:{(81,1),(82,1),(119,1),(124,1),(125,1)}
       106:{2,3,4,6,7}:{(81,1),(83,1),(86,1),(120,1),(125,1),(127,1),(148,1)}
       107:{1,2,5,7}:{(82,1),(83,1),(84,1),(125,1)}
       108:{1,3,5,6,7}:{(84,1),(88,1),(122,1),(126,1),(147,1)}
       109:{2,3,5,7}:{(85,1),(86,1),(87,1),(127,1)}
       110:{1,2,4,6,7}:{(87,1),(88,1),(126,1),(127,1),(148,1)}
       111:{1,3,4,6}:{(89,1),(90,1),(128,1),(129,1)}
       112:{1,2,4,5,6}:{(90,1),(92,1),(116,1),(128,1),(130,1),(143,1)}
       113:{1,2,4,7}:{(90,1),(91,1),(93,1),(129,1)}
       114:{2,3,4,5,7}:{(92,1),(93,1),(118,1),(130,1),(131,1),(146,1)}
       115:{1,3,4,6}:{(94,1),(95,1),(99,1),(132,1)}
       116:{1,2,5,6}:{(95,1),(97,1),(132,1),(134,1)}
       117:{1,2,4,6,7}:{(95,1),(96,1),(98,1),(113,1),(133,1),(134,1)}
       118:{2,3,5,7}:{(97,1),(98,1),(103,1),(134,1),(137,1)}
       119:{3,5,6}:{(99,1),(100,1),(137,1)}
       120:{3,4,6,7}:{(99,1),(101,1),(137,1)}
       121:{1,2,4,5,7}:{(100,1),(101,1),(102,1),(103,1),(107,1),(134,1),(137,1),(139,1),(150,1)}
       122:{1,4,5,6,7}:{(102,1),(104,1),(108,1)}
       123:{2,4,5,6,7}:{(103,1),(104,1),(135,1)}
       124:{2,4,5,6}:{(105,1),(136,1),(139,1)}
       125:{2,3,5,7}:{(105,1),(106,1),(107,1),(137,1),(139,1)}
       126:{1,2,5,6,7}:{(107,1),(108,1),(110,1),(140,1)}
       127:{2,3,6,7}:{(109,1),(110,1)}
       128:{1,3,5,6}:{(111,1),(112,1),(141,1)}
       129:{1,3,4,7}:{(111,1),(113,1),(141,1)}
       130:{1,2,4,5,7}:{(112,1),(113,1),(114,1),(134,1),(141,1),(142,1),(150,1)}
       131:{2,3,4,6,7}:{(114,1),(135,1),(142,1),(152,1)}
       132:{1,3,5,6}:{(115,1),(116,1),(119,1),(143,1),(144,1)}
       133:{1,3,4,6,7}:{(115,1),(117,1),(120,1),(129,1),(144,1),(149,1),(153,1)}
       134:{1,2,5,7}:{(116,1),(117,1),(118,1),(144,1)}
       135:{2,3,5,6,7}:{(118,1),(123,1),(131,1),(145,1),(147,1)}
       136:{3,4,5,6}:{(119,1),(124,1),(143,1),(146,1)}
       137:{3,5,7}:{(119,1),(120,1),(121,1)}
       138:{1,2,4,5,6,7}:{(121,1),(122,1),(123,1),(126,1),(145,1),(147,1),(148,1),(153,1)}
       139:{2,4,5,7}:{(124,1),(125,1),(146,1),(148,1)}
       140:{2,3,5,6,7}:{(125,1),(126,1),(127,1),(147,1),(148,1)}
       141:{1,3,5,7}:{(128,1),(129,1),(130,1),(149,1)}
       142:{1,2,4,6,7}:{(130,1),(131,1),(145,1),(149,1),(153,1)}
       143:{1,4,5,6}:{(132,1),(136,1),(150,1)}
       144:{1,3,5,7}:{(132,1),(133,1),(134,1),(137,1),(150,1)}
       145:{1,2,5,6,7}:{(134,1),(135,1),(142,1),(151,1)}
       146:{3,4,5,7}:{(136,1),(137,1),(139,1),(150,1),(152,1)}
       147:{3,5,6,7}:{(137,1),(138,1),(152,1)}
       148:{2,4,6,7}:{(139,1),(140,1),(152,1)}
       149:{1,3,6,7}:{(141,1),(142,1)}
       150:{1,4,5,7}:{(143,1),(144,1),(146,1),(153,1)}
       151:{1,3,5,6,7}:{(144,1),(145,1),(147,1),(149,1),(153,1)}
       152:{3,4,6,7}:{(146,1),(147,1),(148,1),(153,1)}
       153:{1,4,6,7}:{(150,1),(151,1),(152,1)}

2292 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1),(4,1)}
        2:{1,2,3,4,5,7}:{(0,1),(4,1),(5,1),(15,1),(54,1),(55,1)}
        3:{1,2,3,5,6}:{(1,1),(7,1),(8,1)}
        4:{1,2,3,4,7}:{(1,1),(8,1)}
        5:{1,2,3,4,6}:{(2,1),(10,1)}
        6:{1,3,4,5,6}:{(7,1),(11,1),(22,1)}
        7:{1,2,4,5,6}:{(3,1),(6,1),(12,1),(13,1)}
        8:{1,2,3,5,7}:{(3,1),(4,1),(13,1),(14,1)}
        9:{1,2,3,4,6,7}:{(4,1),(5,1),(14,1),(15,1),(26,1),(53,1),(54,1)}
       10:{1,2,3,5,6}:{(5,1),(15,1),(16,1)}
       11:{1,3,4,5,7}:{(6,1),(13,1),(17,1),(27,1)}
       12:{2,3,4,5,6}:{(7,1),(18,1),(22,1)}
       13:{1,2,4,5,7}:{(7,1),(8,1),(11,1),(18,1),(19,1)}
       14:{1,2,3,6,7}:{(8,1),(19,1)}
       15:{1,2,3,5,7}:{(9,1),(10,1),(21,1)}
       16:{1,2,4,5,6}:{(10,1),(21,1),(22,1)}
       17:{1,3,4,6,7}:{(11,1),(19,1),(23,1),(33,1)}
       18:{2,3,4,5,7}:{(12,1),(13,1),(24,1),(27,1)}
       19:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(24,1),(25,1)}
       20:{1,2,3,5,6,7}:{(14,1),(15,1),(25,1),(26,1),(39,1),(52,1),(53,1)}
       21:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(27,1)}
       22:{3,4,5,6}:{(16,1),(27,1)}
       23:{1,3,5,6,7}:{(17,1),(25,1),(30,1),(39,1)}
       24:{2,3,4,6,7}:{(18,1),(19,1),(31,1),(33,1)}
       25:{1,2,5,6,7}:{(19,1),(23,1),(31,1)}
       26:{1,2,4,6,7}:{(20,1),(21,1),(33,1)}
       27:{3,4,5,7}:{(21,1),(22,1),(33,1)}
       28:{1,3,4,5,6}:{(22,1),(34,1),(36,1)}
       29:{2,3,4,5,6}:{(22,1),(35,1),(36,1)}
       30:{1,4,5,6,7}:{(23,1),(37,1)}
       31:{2,3,5,6,7}:{(24,1),(25,1),(38,1),(39,1)}
       32:{1,2,4,5,6,7}:{(25,1),(26,1),(30,1),(38,1),(39,1),(44,1),(51,1),(52,1)}
       33:{3,4,6,7}:{(26,1),(27,1),(39,1)}
       34:{1,3,4,5,7}:{(27,1),(28,1),(40,1),(42,1)}
       35:{2,3,4,5,7}:{(27,1),(29,1),(41,1),(42,1)}
       36:{1,2,4,5,6}:{(28,1),(29,1),(42,1),(43,1)}
       37:{3,4,5,6,7}:{(30,1),(39,1),(44,1)}
       38:{2,4,5,6,7}:{(31,1),(45,1)}
       39:{3,5,6,7}:{(32,1),(33,1)}
       40:{1,3,4,6,7}:{(33,1),(34,1),(46,1),(48,1)}
       41:{2,3,4,6,7}:{(33,1),(35,1),(47,1),(48,1)}
       42:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(48,1),(49,1)}
       43:{1,2,3,5,6}:{(36,1),(49,1),(50,1)}
       44:{2,4,5,6,7}:{(37,1),(47,1)}
       45:{3,4,5,6,7}:{(38,1),(39,1),(51,1)}
       46:{1,3,5,6,7}:{(39,1),(40,1),(51,1),(52,1)}
       47:{2,3,5,6,7}:{(39,1),(41,1),(44,1),(52,1)}
       48:{1,2,4,6,7}:{(40,1),(41,1),(42,1),(52,1),(53,1)}
       49:{1,2,3,5,7}:{(42,1),(43,1),(53,1),(54,1)}
       50:{1,2,3,4,6}:{(43,1),(54,1),(55,1)}
       51:{1,4,5,6,7}:{(45,1),(46,1)}
       52:{1,2,5,6,7}:{(46,1),(47,1),(48,1)}
       53:{1,2,3,6,7}:{(48,1),(49,1)}
       54:{1,2,3,4,7}:{(49,1),(50,1)}
       55:{1,2,3,4,5}:{(50,1)}

2293 :  0:{1,2,3,4,7}:{(1,1),(2,1),(33,1),(59,1)}
        1:{1,2,3,4,6}:{(0,1),(5,1),(7,1),(18,1),(20,1),(43,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        3:{1,3,4,5,7}:{(6,1),(8,1),(19,1),(25,1),(47,1)}
        4:{2,3,4,5,7}:{(6,1),(9,1),(19,1),(27,1),(47,1)}
        5:{1,2,3,5}:{(1,1),(10,1)}
        6:{1,2,4,5,7}:{(2,1),(3,1),(4,1),(10,1),(12,1),(33,1),(34,1)}
        7:{1,2,3,6}:{(2,1),(12,1)}
        8:{1,3,4,6}:{(3,1),(12,1),(14,1),(31,1)}
        9:{2,3,4,6}:{(4,1),(12,1),(16,1),(31,1)}
       10:{1,2,4,5}:{(5,1),(19,1),(20,1)}
       11:{1,2,3,5,6}:{(5,1),(7,1),(20,1),(21,1),(22,1),(43,1),(46,1),(72,1)}
       12:{1,2,4,6}:{(6,1),(7,1),(8,1),(9,1),(22,1)}
       13:{1,2,3,6,7}:{(7,1),(21,1),(23,1),(76,1),(83,1)}
       14:{1,3,5,6}:{(8,1),(22,1),(24,1),(25,1),(46,1)}
       15:{1,3,4,6,7}:{(8,1),(23,1),(25,1),(47,1),(52,1),(76,1)}
       16:{2,3,5,6}:{(9,1),(22,1),(26,1),(27,1),(46,1)}
       17:{2,3,4,6,7}:{(9,1),(23,1),(27,1),(47,1),(55,1),(76,1)}
       18:{1,2,3,4}:{(28,1)}
       19:{3,4,5}:{(10,1),(31,1)}
       20:{1,2,4,6}:{(10,1),(11,1),(31,1),(33,1)}
       21:{1,2,3,5,7}:{(11,1),(13,1),(33,1),(34,1),(59,1),(64,1),(80,1)}
       22:{1,2,5,6}:{(12,1),(14,1),(16,1),(34,1)}
       23:{1,2,4,6,7}:{(12,1),(13,1),(15,1),(17,1),(33,1),(34,1)}
       24:{1,4,5,6}:{(14,1),(35,1),(36,1)}
       25:{1,3,5,7}:{(14,1),(15,1),(34,1),(36,1),(64,1)}
       26:{2,4,5,6}:{(16,1),(38,1),(39,1)}
       27:{2,3,5,7}:{(16,1),(17,1),(34,1),(39,1),(64,1)}
       28:{1,2,3,5}:{(18,1),(42,1),(43,1)}
       29:{1,3,4,5}:{(19,1),(42,1),(44,1)}
       30:{2,3,4,5}:{(19,1),(42,1),(45,1)}
       31:{3,4,6}:{(19,1),(20,1),(46,1),(47,1)}
       32:{1,2,4,5,6}:{(20,1),(22,1),(24,1),(26,1),(46,1),(48,1),(50,1),(53,1),(72,1)}
       33:{1,2,4,7}:{(20,1),(21,1),(47,1)}
       34:{1,2,5,7}:{(22,1),(23,1),(25,1),(27,1)}
       35:{3,4,5,6}:{(24,1),(46,1),(50,1),(51,1)}
       36:{1,4,5,7}:{(24,1),(25,1),(51,1),(52,1)}
       37:{1,3,5,6,7}:{(25,1),(49,1),(52,1),(56,1),(76,1)}
       38:{3,4,5,6}:{(26,1),(46,1),(53,1),(54,1)}
       39:{2,4,5,7}:{(26,1),(27,1),(54,1),(55,1)}
       40:{2,3,5,6,7}:{(27,1),(49,1),(55,1),(71,1),(76,1)}
       41:{1,4,5,6,7}:{(52,1),(56,1)}
       42:{1,2,4,5}:{(28,1),(29,1),(30,1),(58,1)}
       43:{1,2,3,6}:{(28,1),(58,1),(59,1)}
       44:{1,3,4,6}:{(29,1),(31,1),(58,1),(60,1),(61,1)}
       45:{2,3,4,6}:{(30,1),(31,1),(58,1),(62,1),(63,1)}
       46:{3,5,6}:{(31,1),(32,1),(64,1)}
       47:{3,4,7}:{(31,1),(33,1),(64,1)}
       48:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(36,1),(39,1),(64,1),(65,1),(66,1),(68,1),(80,1)}
       49:{1,2,5,6,7}:{(34,1),(37,1),(40,1),(65,1),(70,1),(79,1)}
       50:{2,4,5,6}:{(35,1),(62,1),(66,1)}
       51:{3,4,5,7}:{(35,1),(36,1),(64,1),(66,1),(67,1)}
       52:{1,4,6,7}:{(36,1),(37,1),(67,1)}
       53:{1,4,5,6}:{(38,1),(60,1),(68,1)}
       54:{3,4,5,7}:{(38,1),(39,1),(64,1),(68,1),(69,1)}
       55:{2,4,6,7}:{(39,1),(40,1),(69,1)}
       56:{3,5,6,7}:{(41,1),(67,1),(70,1)}
       57:{2,4,5,6,7}:{(55,1),(71,1)}
       58:{1,2,4,6}:{(42,1),(43,1),(44,1),(45,1),(72,1),(73,1)}
       59:{1,2,3,7}:{(43,1),(73,1)}
       60:{1,3,5,6}:{(44,1),(46,1),(53,1),(72,1),(74,1)}
       61:{1,3,4,7}:{(44,1),(47,1),(73,1),(74,1)}
       62:{2,3,5,6}:{(45,1),(46,1),(50,1),(72,1),(75,1)}
       63:{2,3,4,7}:{(45,1),(47,1),(73,1),(75,1)}
       64:{3,5,7}:{(46,1),(47,1),(48,1),(76,1)}
       65:{1,2,4,6,7}:{(48,1),(49,1),(52,1),(55,1),(76,1),(77,1),(78,1),(83,1)}
       66:{2,4,5,7}:{(50,1),(51,1),(75,1),(77,1)}
       67:{3,4,6,7}:{(51,1),(52,1),(56,1),(76,1),(77,1)}
       68:{1,4,5,7}:{(53,1),(54,1),(74,1),(78,1)}
       69:{3,4,6,7}:{(54,1),(55,1),(71,1),(76,1),(78,1)}
       70:{2,5,6,7}:{(56,1),(77,1)}
       71:{3,5,6,7}:{(57,1),(69,1),(79,1)}
       72:{1,2,5,6}:{(58,1),(60,1),(62,1),(80,1)}
       73:{1,2,4,7}:{(58,1),(59,1),(61,1),(63,1),(80,1)}
       74:{1,3,5,7}:{(60,1),(61,1),(64,1),(68,1),(80,1),(81,1)}
       75:{2,3,5,7}:{(62,1),(63,1),(64,1),(66,1),(80,1),(82,1)}
       76:{3,6,7}:{(64,1),(65,1)}
       77:{2,4,6,7}:{(66,1),(67,1),(70,1),(82,1)}
       78:{1,4,6,7}:{(68,1),(69,1),(79,1),(81,1)}
       79:{1,5,6,7}:{(71,1),(78,1)}
       80:{1,2,5,7}:{(72,1),(73,1),(74,1),(75,1),(83,1)}
       81:{1,3,6,7}:{(74,1),(76,1),(78,1),(83,1)}
       82:{2,3,6,7}:{(75,1),(76,1),(77,1),(83,1)}
       83:{1,2,6,7}:{(80,1),(81,1),(82,1)}

2294 :  0:{1,2,3,4,7}:{(1,1),(2,1),(36,1),(41,1)}
        1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(7,1),(21,1),(24,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        3:{1,3,4,5,7}:{(6,1),(8,1),(23,1),(32,1),(55,1)}
        4:{1,2,3,4}:{(9,1)}
        5:{1,2,3,5}:{(1,1),(11,1)}
        6:{1,2,4,5,7}:{(2,1),(3,1),(11,1),(14,1),(15,1),(41,1),(47,1)}
        7:{1,2,3,6}:{(2,1),(15,1)}
        8:{1,3,4,6}:{(3,1),(15,1),(17,1),(39,1)}
        9:{1,2,3,5}:{(4,1),(20,1),(21,1)}
       10:{2,3,4,5}:{(20,1),(22,1),(23,1)}
       11:{1,2,4,5}:{(5,1),(23,1),(24,1)}
       12:{1,2,3,5,6}:{(5,1),(7,1),(21,1),(24,1),(25,1),(30,1),(51,1),(54,1)}
       13:{3,4,5,6}:{(26,1),(27,1),(28,1),(54,1)}
       14:{2,3,4,5,7}:{(6,1),(23,1),(29,1),(55,1),(60,1)}
       15:{1,2,4,6}:{(6,1),(7,1),(8,1),(29,1),(30,1)}
       16:{1,2,3,6,7}:{(7,1),(25,1),(31,1),(73,1),(75,1)}
       17:{1,3,5,6}:{(8,1),(26,1),(30,1),(32,1),(54,1)}
       18:{1,3,4,6,7}:{(8,1),(31,1),(32,1),(55,1),(57,1),(75,1)}
       19:{1,4,5,6,7}:{(33,1),(57,1)}
       20:{1,2,4,5}:{(9,1),(10,1),(34,1),(35,1)}
       21:{1,2,3,6}:{(9,1),(35,1),(36,1)}
       22:{2,3,4,6}:{(10,1),(35,1),(37,1),(38,1),(39,1)}
       23:{3,4,5}:{(11,1),(39,1)}
       24:{1,2,4,6}:{(11,1),(12,1),(39,1),(41,1)}
       25:{1,2,3,5,7}:{(12,1),(16,1),(36,1),(41,1),(47,1),(64,1),(67,1)}
       26:{1,4,5,6}:{(13,1),(17,1),(42,1)}
       27:{2,4,5,6}:{(13,1),(37,1),(43,1)}
       28:{3,4,5,7}:{(13,1),(42,1),(43,1),(44,1),(67,1)}
       29:{2,3,4,6}:{(14,1),(15,1),(39,1),(45,1)}
       30:{1,2,5,6}:{(15,1),(17,1),(45,1),(47,1)}
       31:{1,2,4,6,7}:{(15,1),(16,1),(18,1),(41,1),(46,1),(47,1)}
       32:{1,3,5,7}:{(17,1),(18,1),(42,1),(47,1),(67,1)}
       33:{3,5,6,7}:{(19,1),(44,1),(49,1)}
       34:{1,3,4,5}:{(20,1),(23,1),(50,1)}
       35:{1,2,4,6}:{(20,1),(21,1),(22,1),(50,1),(51,1),(52,1)}
       36:{1,2,3,7}:{(21,1),(52,1)}
       37:{2,3,5,6}:{(22,1),(27,1),(51,1),(53,1),(54,1)}
       38:{2,3,4,7}:{(22,1),(52,1),(53,1),(55,1)}
       39:{3,4,6}:{(23,1),(24,1),(54,1),(55,1)}
       40:{1,2,4,5,6}:{(24,1),(26,1),(27,1),(30,1),(51,1),(54,1),(56,1),(59,1),(71,1)}
       41:{1,2,4,7}:{(24,1),(25,1),(55,1)}
       42:{1,4,5,7}:{(26,1),(28,1),(32,1),(57,1)}
       43:{2,4,5,7}:{(27,1),(28,1),(53,1),(58,1)}
       44:{3,4,6,7}:{(28,1),(33,1),(57,1),(58,1),(75,1)}
       45:{2,3,5,6}:{(29,1),(30,1),(54,1),(59,1),(60,1)}
       46:{2,3,4,6,7}:{(29,1),(31,1),(55,1),(60,1),(75,1),(76,1)}
       47:{1,2,5,7}:{(30,1),(31,1),(32,1),(60,1)}
       48:{1,3,5,6,7}:{(32,1),(33,1),(57,1),(61,1),(75,1)}
       49:{2,5,6,7}:{(33,1),(58,1)}
       50:{1,3,4,6}:{(34,1),(35,1),(39,1),(62,1),(63,1)}
       51:{1,2,5,6}:{(35,1),(37,1),(62,1),(64,1)}
       52:{1,2,4,7}:{(35,1),(36,1),(38,1),(63,1),(64,1)}
       53:{2,3,5,7}:{(37,1),(38,1),(43,1),(64,1),(65,1),(67,1)}
       54:{3,5,6}:{(39,1),(40,1),(67,1)}
       55:{3,4,7}:{(39,1),(41,1),(67,1)}
       56:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(43,1),(47,1),(64,1),(67,1),(68,1),(69,1),(77,1)}
       57:{1,4,6,7}:{(42,1),(44,1),(48,1)}
       58:{2,4,6,7}:{(43,1),(44,1),(49,1),(65,1)}
       59:{2,4,5,6}:{(45,1),(66,1),(69,1)}
       60:{2,3,5,7}:{(45,1),(46,1),(47,1),(67,1),(69,1)}
       61:{1,2,5,6,7}:{(47,1),(48,1),(49,1),(68,1),(70,1),(83,1)}
       62:{1,3,5,6}:{(50,1),(51,1),(54,1),(71,1),(72,1)}
       63:{1,3,4,7}:{(50,1),(52,1),(55,1),(72,1)}
       64:{1,2,5,7}:{(51,1),(52,1),(53,1),(72,1),(73,1)}
       65:{2,3,6,7}:{(53,1),(58,1),(73,1),(75,1)}
       66:{3,4,5,6}:{(54,1),(59,1),(71,1),(74,1)}
       67:{3,5,7}:{(54,1),(55,1),(56,1),(75,1)}
       68:{1,2,4,6,7}:{(56,1),(57,1),(58,1),(61,1),(73,1),(75,1),(76,1),(81,1)}
       69:{2,4,5,7}:{(59,1),(60,1),(74,1),(76,1)}
       70:{2,3,5,6,7}:{(60,1),(61,1),(75,1),(76,1),(82,1)}
       71:{1,4,5,6}:{(62,1),(66,1),(77,1)}
       72:{1,3,5,7}:{(62,1),(63,1),(64,1),(67,1),(77,1),(78,1)}
       73:{1,2,6,7}:{(64,1),(65,1),(78,1)}
       74:{3,4,5,7}:{(66,1),(67,1),(69,1),(77,1),(79,1)}
       75:{3,6,7}:{(67,1),(68,1)}
       76:{2,4,6,7}:{(69,1),(70,1),(79,1)}
       77:{1,4,5,7}:{(71,1),(72,1),(74,1),(81,1)}
       78:{1,3,6,7}:{(72,1),(73,1),(75,1),(81,1)}
       79:{3,4,6,7}:{(74,1),(75,1),(76,1),(81,1),(82,1)}
       80:{2,4,5,6,7}:{(76,1),(82,1)}
       81:{1,4,6,7}:{(77,1),(78,1),(79,1),(83,1)}
       82:{3,5,6,7}:{(79,1),(80,1),(83,1)}
       83:{1,5,6,7}:{(81,1),(82,1)}

2295 :   0:{2,3,4,5,6}:{(2,1),(3,1),(44,1),(90,1),(108,1)}
         1:{1,2,3,4,6}:{(5,1),(6,1),(29,1),(30,1)}
         2:{1,2,4,5,6}:{(0,1),(9,1),(10,1),(30,1),(73,1),(84,1)}
         3:{2,3,4,5,7}:{(0,1),(7,1),(10,1),(66,1),(115,1),(131,1)}
         4:{1,3,4,5,6}:{(11,1),(12,1),(21,1),(59,1),(133,1)}
         5:{1,2,3,4,7}:{(1,1),(14,1),(50,1)}
         6:{1,2,3,5}:{(1,1),(15,1)}
         7:{2,3,4,6,7}:{(3,1),(18,1),(20,1),(109,1)}
         8:{1,3,4,5}:{(15,1),(21,1)}
         9:{1,3,5,6}:{(2,1),(21,1),(22,1)}
        10:{1,2,4,5,7}:{(2,1),(3,1),(20,1),(22,1),(50,1),(100,1),(110,1)}
        11:{1,2,4,5,6}:{(4,1),(25,1),(26,1),(30,1),(73,1),(113,1)}
        12:{1,3,4,5,7}:{(4,1),(23,1),(26,1),(39,1),(86,1),(147,1)}
        13:{1,2,3,4,6,7}:{(5,1),(27,1),(29,1),(67,1),(71,1),(74,1),(117,1),(123,1),(149,1)}
        14:{1,2,3,5,7}:{(5,1),(6,1),(28,1),(29,1)}
        15:{1,2,4,5}:{(6,1),(8,1),(24,1),(30,1)}
        16:{1,2,3,5,6}:{(6,1),(9,1),(25,1),(29,1),(30,1),(31,1),(73,1)}
        17:{3,4,5,6,7}:{(34,1),(35,1),(83,1),(147,1)}
        18:{2,3,5,6,7}:{(7,1),(34,1),(36,1),(83,1),(115,1)}
        19:{1,3,4,5,7}:{(8,1),(28,1),(37,1),(39,1),(70,1),(86,1)}
        20:{1,2,4,6,7}:{(7,1),(10,1),(36,1),(38,1),(85,1)}
        21:{1,3,4,6}:{(8,1),(9,1),(30,1),(39,1)}
        22:{1,3,5,7}:{(9,1),(10,1),(38,1),(39,1)}
        23:{1,3,4,6,7}:{(12,1),(41,1),(43,1),(134,1)}
        24:{2,3,4,5}:{(15,1),(44,1)}
        25:{2,3,5,6}:{(11,1),(44,1),(45,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(43,1),(45,1),(50,1),(100,1),(135,1)}
        27:{1,2,3,5,7}:{(13,1),(46,1),(47,1),(100,1),(142,1),(153,1)}
        28:{1,2,4,5,7}:{(14,1),(15,1),(19,1),(42,1),(48,1),(50,1),(100,1)}
        29:{1,2,3,6}:{(14,1),(48,1)}
        30:{1,2,4,6}:{(15,1),(16,1),(21,1),(44,1),(50,1)}
        31:{1,2,3,5,7}:{(16,1),(22,1),(45,1),(49,1),(50,1),(100,1)}
        32:{2,3,4,5,6}:{(52,1),(53,1),(105,1),(133,1),(140,1)}
        33:{1,3,4,5,6}:{(54,1),(55,1),(103,1),(108,1),(138,1)}
        34:{2,4,5,6,7}:{(17,1),(18,1),(135,1)}
        35:{1,4,5,6,7}:{(17,1),(56,1),(152,1)}
        36:{1,2,5,6,7}:{(18,1),(20,1),(58,1),(100,1)}
        37:{1,3,4,6}:{(19,1),(48,1),(59,1),(97,1)}
        38:{1,3,6,7}:{(20,1),(22,1)}
        39:{1,3,4,7}:{(21,1),(22,1),(50,1)}
        40:{3,4,5,6,7}:{(61,1),(62,1),(112,1),(131,1)}
        41:{1,3,5,6,7}:{(23,1),(62,1),(63,1),(86,1),(112,1)}
        42:{2,3,4,5,7}:{(24,1),(28,1),(64,1),(66,1),(70,1),(115,1)}
        43:{1,2,4,6,7}:{(23,1),(26,1),(63,1),(65,1),(114,1)}
        44:{2,3,4,6}:{(24,1),(25,1),(30,1),(66,1)}
        45:{2,3,5,7}:{(25,1),(26,1),(65,1),(66,1)}
        46:{1,2,4,5,7}:{(27,1),(70,1),(71,1)}
        47:{1,2,3,5,6}:{(27,1),(29,1),(71,1),(73,1),(117,1),(122,1),(148,1)}
        48:{1,2,4,6}:{(28,1),(29,1),(37,1),(64,1),(73,1)}
        49:{1,2,3,6,7}:{(29,1),(31,1),(38,1),(65,1),(74,1)}
        50:{1,2,4,7}:{(30,1),(31,1),(39,1),(66,1)}
        51:{1,2,3,4,6}:{(67,1),(75,1),(117,1),(125,1)}
        52:{1,2,4,5,6}:{(32,1),(77,1),(78,1),(125,1),(145,1),(148,1)}
        53:{2,3,4,5,7}:{(32,1),(68,1),(78,1),(128,1),(147,1),(151,1)}
        54:{1,2,4,5,6}:{(33,1),(80,1),(81,1),(125,1),(129,1),(148,1)}
        55:{1,3,4,5,7}:{(33,1),(69,1),(81,1),(127,1),(131,1),(150,1)}
        56:{1,3,5,6,7}:{(35,1),(69,1),(82,1),(83,1),(150,1)}
        57:{1,2,4,5,6,7}:{(34,1),(35,1),(36,1),(82,1),(83,1),(85,1),(124,1),(130,1)}
        58:{1,3,5,6,7}:{(36,1),(38,1),(83,1),(85,1),(86,1)}
        59:{1,3,5,6}:{(37,1),(73,1),(84,1),(86,1),(122,1)}
        60:{1,3,4,6,7}:{(37,1),(38,1),(39,1),(74,1),(85,1),(86,1),(123,1)}
        61:{2,4,5,6,7}:{(40,1),(87,1),(144,1)}
        62:{1,4,5,6,7}:{(40,1),(41,1),(110,1)}
        63:{1,2,5,6,7}:{(41,1),(43,1),(89,1),(100,1)}
        64:{2,3,4,6}:{(42,1),(48,1),(90,1),(97,1)}
        65:{2,3,6,7}:{(43,1),(45,1)}
        66:{2,3,4,7}:{(44,1),(45,1),(50,1)}
        67:{1,2,3,4,7}:{(51,1),(92,1),(143,1)}
        68:{2,3,4,6,7}:{(53,1),(87,1),(94,1),(134,1)}
        69:{1,3,4,6,7}:{(55,1),(56,1),(96,1),(109,1)}
        70:{3,4,5,7}:{(46,1),(97,1),(142,1)}
        71:{1,2,4,6}:{(46,1),(47,1),(97,1)}
        72:{1,2,3,5,6,7}:{(47,1),(49,1),(58,1),(89,1),(99,1),(100,1),(107,1),(132,1),(137,1),(142,1),(153,1)}
        73:{1,2,5,6}:{(48,1),(59,1),(90,1),(100,1)}
        74:{1,2,4,6,7}:{(48,1),(49,1),(50,1),(60,1),(91,1),(100,1)}
        75:{1,2,3,5}:{(51,1),(101,1)}
        76:{1,3,4,5}:{(101,1),(103,1)}
        77:{1,3,5,6}:{(52,1),(103,1),(104,1)}
        78:{1,2,4,5,7}:{(52,1),(53,1),(94,1),(104,1),(143,1),(152,1),(153,1)}
        79:{2,3,4,5}:{(101,1),(105,1)}
        80:{2,3,5,6}:{(54,1),(105,1),(106,1)}
        81:{1,2,4,5,7}:{(54,1),(55,1),(96,1),(106,1),(143,1),(144,1),(153,1)}
        82:{1,2,5,6,7}:{(56,1),(96,1),(107,1),(153,1)}
        83:{3,5,6,7}:{(57,1),(109,1),(142,1)}
        84:{1,4,5,6}:{(59,1),(108,1),(110,1)}
        85:{1,4,6,7}:{(58,1),(109,1),(110,1)}
        86:{1,3,5,7}:{(59,1),(60,1),(100,1),(110,1),(142,1)}
        87:{2,3,5,6,7}:{(61,1),(68,1),(111,1),(112,1),(151,1)}
        88:{1,2,4,5,6,7}:{(61,1),(62,1),(63,1),(111,1),(112,1),(114,1),(124,1),(146,1)}
        89:{2,3,5,6,7}:{(63,1),(65,1),(112,1),(114,1),(115,1)}
        90:{2,3,5,6}:{(64,1),(73,1),(113,1),(115,1),(122,1)}
        91:{2,3,4,6,7}:{(64,1),(65,1),(66,1),(74,1),(114,1),(115,1),(123,1)}
        92:{1,2,3,5,7}:{(67,1),(75,1),(116,1),(117,1)}
        93:{1,3,4,5,7}:{(70,1),(76,1),(116,1),(118,1),(127,1),(150,1)}
        94:{1,2,4,6,7}:{(68,1),(78,1),(111,1),(119,1),(146,1)}
        95:{2,3,4,5,7}:{(70,1),(79,1),(116,1),(120,1),(128,1),(151,1)}
        96:{1,2,4,6,7}:{(69,1),(81,1),(82,1),(121,1),(130,1)}
        97:{3,4,6}:{(70,1),(71,1),(122,1)}
        98:{1,2,4,5,6}:{(71,1),(73,1),(84,1),(113,1),(122,1),(124,1),(129,1),(145,1),(148,1)}
        99:{1,2,4,6,7}:{(71,1),(72,1),(85,1),(114,1),(123,1),(124,1),(130,1),(146,1)}
       100:{1,2,5,7}:{(73,1),(74,1),(86,1),(115,1)}
       101:{1,2,4,5}:{(75,1),(76,1),(79,1),(125,1)}
       102:{1,2,3,5,6}:{(75,1),(77,1),(80,1),(117,1),(125,1),(126,1),(148,1)}
       103:{1,3,4,6}:{(76,1),(77,1),(125,1),(127,1)}
       104:{1,3,5,7}:{(77,1),(78,1),(119,1),(127,1)}
       105:{2,3,4,6}:{(79,1),(80,1),(125,1),(128,1)}
       106:{2,3,5,7}:{(80,1),(81,1),(121,1),(128,1)}
       107:{2,3,5,6,7}:{(82,1),(83,1),(121,1),(130,1),(151,1)}
       108:{3,4,5,6}:{(84,1),(122,1),(129,1),(131,1)}
       109:{3,4,6,7}:{(83,1),(85,1),(130,1),(131,1)}
       110:{1,4,5,7}:{(84,1),(85,1),(86,1),(131,1)}
       111:{1,2,5,6,7}:{(87,1),(94,1),(132,1),(153,1)}
       112:{3,5,6,7}:{(88,1),(134,1),(142,1)}
       113:{2,4,5,6}:{(90,1),(133,1),(135,1)}
       114:{2,4,6,7}:{(89,1),(134,1),(135,1)}
       115:{2,3,5,7}:{(90,1),(91,1),(100,1),(135,1),(142,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(101,1),(136,1),(143,1),(153,1)}
       117:{1,2,3,6}:{(92,1),(136,1)}
       118:{1,3,4,6}:{(93,1),(97,1),(136,1),(138,1)}
       119:{1,3,6,7}:{(94,1),(104,1)}
       120:{2,3,4,6}:{(95,1),(97,1),(136,1),(140,1)}
       121:{2,3,6,7}:{(96,1),(106,1)}
       122:{3,5,6}:{(97,1),(98,1),(142,1)}
       123:{3,4,6,7}:{(97,1),(99,1),(142,1)}
       124:{1,2,4,5,7}:{(98,1),(99,1),(100,1),(110,1),(135,1),(142,1),(144,1),(152,1),(153,1)}
       125:{1,2,4,6}:{(101,1),(102,1),(103,1),(105,1),(143,1)}
       126:{1,2,3,5,7}:{(102,1),(104,1),(106,1),(137,1),(143,1),(153,1)}
       127:{1,3,4,7}:{(103,1),(104,1),(143,1)}
       128:{2,3,4,7}:{(105,1),(106,1),(143,1)}
       129:{2,4,5,6}:{(108,1),(140,1),(144,1)}
       130:{2,4,6,7}:{(107,1),(109,1),(144,1)}
       131:{3,4,5,7}:{(108,1),(109,1),(110,1),(142,1),(144,1)}
       132:{1,3,5,6,7}:{(111,1),(112,1),(119,1),(146,1),(150,1)}
       133:{3,4,5,6}:{(113,1),(122,1),(145,1),(147,1)}
       134:{3,4,6,7}:{(112,1),(114,1),(146,1),(147,1)}
       135:{2,4,5,7}:{(113,1),(114,1),(115,1),(147,1)}
       136:{1,2,4,6}:{(116,1),(117,1),(118,1),(120,1),(148,1)}
       137:{1,2,3,6,7}:{(117,1),(119,1),(121,1),(126,1),(149,1)}
       138:{1,3,5,6}:{(118,1),(122,1),(145,1),(148,1),(150,1)}
       139:{1,3,4,6,7}:{(118,1),(119,1),(123,1),(127,1),(146,1),(149,1),(150,1)}
       140:{2,3,5,6}:{(120,1),(122,1),(129,1),(148,1),(151,1)}
       141:{2,3,4,6,7}:{(120,1),(121,1),(123,1),(128,1),(130,1),(149,1),(151,1)}
       142:{3,5,7}:{(122,1),(123,1),(124,1)}
       143:{1,2,4,7}:{(125,1),(126,1),(127,1),(128,1)}
       144:{2,4,5,7}:{(129,1),(130,1),(131,1),(151,1)}
       145:{1,4,5,6}:{(133,1),(138,1),(152,1)}
       146:{1,4,6,7}:{(132,1),(134,1),(152,1)}
       147:{3,4,5,7}:{(133,1),(134,1),(135,1),(142,1),(152,1)}
       148:{1,2,5,6}:{(136,1),(138,1),(140,1),(153,1)}
       149:{1,2,4,6,7}:{(136,1),(137,1),(139,1),(141,1),(143,1),(153,1)}
       150:{1,3,5,7}:{(138,1),(139,1),(142,1),(152,1),(153,1)}
       151:{2,3,5,7}:{(140,1),(141,1),(142,1),(144,1),(153,1)}
       152:{1,4,5,7}:{(145,1),(146,1),(147,1),(150,1)}
       153:{1,2,5,7}:{(148,1),(149,1),(150,1),(151,1)}

2296 :  0:{1,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,3,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,4,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,2,4,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,5,7}:{(4,1),(8,1),(9,1)}
        7:{1,3,4,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,2,4,5,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,6}:{(6,1),(12,1),(27,1)}
       10:{1,2,3,4,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{1,3,5,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6}:{(8,1),(9,1),(16,1),(23,1)}
       13:{2,3,4,5,6,7}:{(9,1),(17,1),(32,1)}
       14:{1,2,3,5,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{1,3,4,5,7}:{(11,1),(18,1),(20,1)}
       16:{1,3,5,6}:{(11,1),(12,1),(20,1)}
       17:{1,2,4,5,6,7}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,2,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(14,1),(16,1),(23,1),(31,1)}
       20:{1,3,4,6}:{(15,1),(16,1),(23,1)}
       21:{1,3,5,6,7}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,5,7}:{(18,1),(27,1),(34,1)}
       23:{1,2,4,6}:{(18,1),(19,1),(20,1),(27,1)}
       24:{1,2,3,5,6,7}:{(19,1),(21,1),(29,1),(34,1)}
       25:{1,3,4,5,6}:{(20,1),(28,1),(30,1)}
       26:{1,3,4,6,7}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,4,6}:{(22,1),(23,1),(31,1)}
       28:{1,2,4,5,6}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{1,3,4,5,7}:{(25,1),(26,1),(33,1)}
       31:{2,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{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:{2,3,5,7}:{(31,1),(32,1),(33,1)}

2297 :   0:{2,3,4,5,6}:{(1,1),(2,1),(35,1),(120,1),(133,1)}
         1:{2,3,4,5,7}:{(0,1),(4,1),(5,1),(54,1),(97,1),(115,1)}
         2:{1,2,4,5,6}:{(0,1),(5,1),(6,1),(22,1),(113,1),(116,1)}
         3:{1,3,4,5,6}:{(7,1),(8,1),(15,1),(93,1),(147,1)}
         4:{2,3,4,6,7}:{(1,1),(12,1),(13,1),(91,1)}
         5:{1,2,4,5,7}:{(1,1),(2,1),(13,1),(14,1),(42,1),(88,1),(92,1)}
         6:{1,3,5,6}:{(2,1),(14,1),(15,1)}
         7:{1,3,4,5,7}:{(3,1),(16,1),(17,1),(29,1),(70,1),(135,1)}
         8:{1,2,4,5,6}:{(3,1),(17,1),(18,1),(22,1),(113,1),(136,1)}
         9:{1,2,3,5,6}:{(6,1),(18,1),(21,1),(22,1),(24,1),(66,1),(113,1)}
        10:{1,2,3,4,6}:{(22,1),(23,1),(24,1),(66,1)}
        11:{3,4,5,6,7}:{(25,1),(26,1),(68,1),(135,1)}
        12:{2,3,5,6,7}:{(4,1),(26,1),(27,1),(68,1),(97,1)}
        13:{1,2,4,6,7}:{(4,1),(5,1),(27,1),(28,1),(69,1)}
        14:{1,3,5,7}:{(5,1),(6,1),(28,1),(29,1)}
        15:{1,3,4,6}:{(6,1),(22,1),(29,1),(30,1)}
        16:{1,3,4,6,7}:{(7,1),(32,1),(33,1),(118,1)}
        17:{1,2,4,5,7}:{(7,1),(8,1),(33,1),(34,1),(42,1),(88,1),(119,1)}
        18:{2,3,5,6}:{(8,1),(34,1),(35,1)}
        19:{1,3,4,5,6}:{(36,1),(37,1),(84,1),(133,1),(151,1)}
        20:{2,3,4,5,6}:{(38,1),(39,1),(81,1),(147,1),(150,1)}
        21:{1,2,3,5,7}:{(9,1),(14,1),(34,1),(41,1),(42,1),(88,1)}
        22:{1,2,4,6}:{(9,1),(15,1),(35,1),(42,1),(43,1)}
        23:{1,2,3,4,7}:{(10,1),(42,1),(44,1)}
        24:{1,2,3,5}:{(10,1),(43,1)}
        25:{1,4,5,6,7}:{(11,1),(45,1),(146,1)}
        26:{2,4,5,6,7}:{(11,1),(12,1),(119,1)}
        27:{1,2,5,6,7}:{(12,1),(13,1),(47,1),(88,1)}
        28:{1,3,6,7}:{(13,1),(14,1)}
        29:{1,3,4,7}:{(14,1),(15,1),(42,1)}
        30:{1,3,4,5}:{(15,1),(43,1)}
        31:{3,4,5,6,7}:{(50,1),(51,1),(95,1),(115,1)}
        32:{1,3,5,6,7}:{(16,1),(50,1),(52,1),(70,1),(95,1)}
        33:{1,2,4,6,7}:{(16,1),(17,1),(52,1),(53,1),(96,1)}
        34:{2,3,5,7}:{(17,1),(18,1),(53,1),(54,1)}
        35:{2,3,4,6}:{(18,1),(22,1),(54,1),(55,1)}
        36:{1,3,4,5,7}:{(19,1),(56,1),(57,1),(107,1),(115,1),(142,1)}
        37:{1,2,4,5,6}:{(19,1),(57,1),(58,1),(100,1),(145,1),(153,1)}
        38:{2,3,4,5,7}:{(20,1),(59,1),(60,1),(104,1),(135,1),(140,1)}
        39:{1,2,4,5,6}:{(20,1),(60,1),(61,1),(100,1),(152,1),(153,1)}
        40:{1,2,3,4,6,7}:{(23,1),(63,1),(64,1),(66,1),(101,1),(109,1),(112,1),(137,1),(139,1)}
        41:{1,2,3,6,7}:{(21,1),(28,1),(53,1),(64,1),(66,1)}
        42:{1,2,4,7}:{(21,1),(22,1),(29,1),(54,1)}
        43:{1,2,4,5}:{(22,1),(24,1),(30,1),(55,1)}
        44:{1,2,3,5,7}:{(23,1),(24,1),(65,1),(66,1)}
        45:{1,3,5,6,7}:{(25,1),(56,1),(67,1),(68,1),(142,1)}
        46:{1,2,4,5,6,7}:{(25,1),(26,1),(27,1),(67,1),(68,1),(69,1),(111,1),(114,1)}
        47:{1,3,5,6,7}:{(27,1),(28,1),(68,1),(69,1),(70,1)}
        48:{1,3,4,6,7}:{(28,1),(29,1),(64,1),(69,1),(70,1),(71,1),(109,1)}
        49:{1,3,4,5,7}:{(29,1),(30,1),(65,1),(70,1),(71,1),(110,1)}
        50:{1,4,5,6,7}:{(31,1),(32,1),(92,1)}
        51:{2,4,5,6,7}:{(31,1),(72,1),(132,1)}
        52:{1,2,5,6,7}:{(32,1),(33,1),(74,1),(88,1)}
        53:{2,3,6,7}:{(33,1),(34,1)}
        54:{2,3,4,7}:{(34,1),(35,1),(42,1)}
        55:{2,3,4,5}:{(35,1),(43,1)}
        56:{1,3,4,6,7}:{(36,1),(45,1),(79,1),(91,1)}
        57:{1,2,4,5,7}:{(36,1),(37,1),(79,1),(80,1),(122,1),(132,1),(148,1)}
        58:{2,3,5,6}:{(37,1),(80,1),(81,1)}
        59:{2,3,4,6,7}:{(38,1),(72,1),(82,1),(118,1)}
        60:{1,2,4,5,7}:{(38,1),(39,1),(82,1),(83,1),(122,1),(146,1),(148,1)}
        61:{1,3,5,6}:{(39,1),(83,1),(84,1)}
        62:{1,2,3,5,6,7}:{(41,1),(47,1),(74,1),(85,1),(87,1),(88,1),(90,1),(117,1),(121,1),(129,1),(148,1)}
        63:{1,2,3,5,7}:{(40,1),(86,1),(87,1),(88,1),(129,1),(148,1)}
        64:{1,2,4,6,7}:{(41,1),(42,1),(48,1),(75,1),(88,1),(89,1)}
        65:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(49,1),(76,1),(88,1),(89,1)}
        66:{1,2,3,6}:{(44,1),(89,1)}
        67:{1,2,5,6,7}:{(45,1),(79,1),(90,1),(148,1)}
        68:{3,5,6,7}:{(46,1),(91,1),(129,1)}
        69:{1,4,6,7}:{(47,1),(91,1),(92,1)}
        70:{1,3,5,7}:{(48,1),(88,1),(92,1),(93,1),(129,1)}
        71:{1,3,4,6}:{(49,1),(89,1),(93,1),(130,1)}
        72:{2,3,5,6,7}:{(51,1),(59,1),(94,1),(95,1),(140,1)}
        73:{1,2,4,5,6,7}:{(50,1),(51,1),(52,1),(94,1),(95,1),(96,1),(111,1),(134,1)}
        74:{2,3,5,6,7}:{(52,1),(53,1),(95,1),(96,1),(97,1)}
        75:{2,3,4,6,7}:{(53,1),(54,1),(64,1),(96,1),(97,1),(98,1),(109,1)}
        76:{2,3,4,5,7}:{(54,1),(55,1),(65,1),(97,1),(98,1),(110,1)}
        77:{1,2,3,5,6}:{(58,1),(61,1),(99,1),(100,1),(102,1),(139,1),(153,1)}
        78:{1,2,3,4,6}:{(100,1),(101,1),(102,1),(139,1)}
        79:{1,2,4,6,7}:{(56,1),(57,1),(67,1),(103,1),(114,1)}
        80:{2,3,5,7}:{(57,1),(58,1),(103,1),(104,1)}
        81:{2,3,4,6}:{(58,1),(100,1),(104,1),(105,1)}
        82:{1,2,4,6,7}:{(59,1),(60,1),(94,1),(106,1),(134,1)}
        83:{1,3,5,7}:{(60,1),(61,1),(106,1),(107,1)}
        84:{1,3,4,6}:{(61,1),(100,1),(107,1),(108,1)}
        85:{1,2,4,6,7}:{(62,1),(69,1),(96,1),(109,1),(111,1),(112,1),(114,1),(134,1)}
        86:{1,2,4,5,7}:{(63,1),(110,1),(112,1)}
        87:{1,2,3,5,6}:{(63,1),(66,1),(112,1),(113,1),(139,1),(144,1),(153,1)}
        88:{1,2,5,7}:{(64,1),(70,1),(97,1),(113,1)}
        89:{1,2,4,6}:{(65,1),(66,1),(71,1),(98,1),(113,1)}
        90:{2,3,5,6,7}:{(67,1),(68,1),(103,1),(114,1),(140,1)}
        91:{3,4,6,7}:{(68,1),(69,1),(114,1),(115,1)}
        92:{1,4,5,7}:{(69,1),(70,1),(115,1),(116,1)}
        93:{1,3,5,6}:{(70,1),(71,1),(113,1),(116,1),(144,1)}
        94:{1,2,5,6,7}:{(72,1),(82,1),(117,1),(148,1)}
        95:{3,5,6,7}:{(73,1),(118,1),(129,1)}
        96:{2,4,6,7}:{(74,1),(118,1),(119,1)}
        97:{2,3,5,7}:{(75,1),(88,1),(119,1),(120,1),(129,1)}
        98:{2,3,4,6}:{(76,1),(89,1),(120,1),(130,1)}
        99:{1,2,3,5,7}:{(77,1),(80,1),(83,1),(121,1),(122,1),(148,1)}
       100:{1,2,4,6}:{(77,1),(81,1),(84,1),(122,1),(123,1)}
       101:{1,2,3,4,7}:{(78,1),(122,1),(124,1)}
       102:{1,2,3,5}:{(78,1),(123,1)}
       103:{2,3,6,7}:{(79,1),(80,1)}
       104:{2,3,4,7}:{(80,1),(81,1),(122,1)}
       105:{2,3,4,5}:{(81,1),(123,1)}
       106:{1,3,6,7}:{(82,1),(83,1)}
       107:{1,3,4,7}:{(83,1),(84,1),(122,1)}
       108:{1,3,4,5}:{(84,1),(123,1)}
       109:{3,4,6,7}:{(85,1),(129,1),(130,1)}
       110:{3,4,5,7}:{(86,1),(129,1),(130,1)}
       111:{1,2,4,5,7}:{(85,1),(88,1),(92,1),(119,1),(129,1),(131,1),(132,1),(146,1),(148,1)}
       112:{1,2,4,6}:{(86,1),(87,1),(130,1)}
       113:{1,2,5,6}:{(88,1),(89,1),(93,1),(120,1)}
       114:{2,4,6,7}:{(90,1),(91,1),(132,1)}
       115:{3,4,5,7}:{(91,1),(92,1),(129,1),(132,1),(133,1)}
       116:{1,4,5,6}:{(92,1),(93,1),(133,1)}
       117:{1,3,5,6,7}:{(94,1),(95,1),(106,1),(134,1),(142,1)}
       118:{3,4,6,7}:{(95,1),(96,1),(134,1),(135,1)}
       119:{2,4,5,7}:{(96,1),(97,1),(135,1),(136,1)}
       120:{2,3,5,6}:{(97,1),(98,1),(113,1),(136,1),(144,1)}
       121:{1,2,3,6,7}:{(99,1),(103,1),(106,1),(137,1),(139,1)}
       122:{1,2,4,7}:{(99,1),(100,1),(104,1),(107,1)}
       123:{1,2,4,5}:{(100,1),(102,1),(105,1),(108,1)}
       124:{1,2,3,5,7}:{(101,1),(102,1),(138,1),(139,1)}
       125:{2,3,4,6,7}:{(103,1),(104,1),(109,1),(114,1),(137,1),(140,1),(141,1)}
       126:{2,3,4,5,7}:{(104,1),(105,1),(110,1),(138,1),(140,1),(141,1)}
       127:{1,3,4,6,7}:{(106,1),(107,1),(109,1),(134,1),(137,1),(142,1),(143,1)}
       128:{1,3,4,5,7}:{(107,1),(108,1),(110,1),(138,1),(142,1),(143,1)}
       129:{3,5,7}:{(109,1),(111,1),(144,1)}
       130:{3,4,6}:{(110,1),(112,1),(144,1)}
       131:{1,2,4,5,6}:{(111,1),(112,1),(113,1),(116,1),(136,1),(144,1),(145,1),(152,1),(153,1)}
       132:{2,4,5,7}:{(114,1),(115,1),(140,1),(145,1)}
       133:{3,4,5,6}:{(115,1),(116,1),(144,1),(145,1)}
       134:{1,4,6,7}:{(117,1),(118,1),(146,1)}
       135:{3,4,5,7}:{(118,1),(119,1),(129,1),(146,1),(147,1)}
       136:{2,4,5,6}:{(119,1),(120,1),(147,1)}
       137:{1,2,4,6,7}:{(121,1),(122,1),(125,1),(127,1),(148,1),(149,1)}
       138:{1,2,4,5,7}:{(122,1),(123,1),(124,1),(126,1),(128,1),(148,1),(149,1)}
       139:{1,2,3,6}:{(124,1),(149,1)}
       140:{2,3,5,7}:{(125,1),(129,1),(132,1),(148,1),(150,1)}
       141:{2,3,4,6}:{(126,1),(130,1),(149,1),(150,1)}
       142:{1,3,5,7}:{(127,1),(129,1),(146,1),(148,1),(151,1)}
       143:{1,3,4,6}:{(128,1),(130,1),(149,1),(151,1)}
       144:{3,5,6}:{(129,1),(130,1),(131,1)}
       145:{2,4,5,6}:{(132,1),(133,1),(150,1)}
       146:{1,4,5,7}:{(134,1),(135,1),(142,1),(152,1)}
       147:{3,4,5,6}:{(135,1),(136,1),(144,1),(152,1)}
       148:{1,2,5,7}:{(137,1),(140,1),(142,1),(153,1)}
       149:{1,2,4,6}:{(138,1),(139,1),(141,1),(143,1),(153,1)}
       150:{2,3,5,6}:{(140,1),(141,1),(144,1),(145,1),(153,1)}
       151:{1,3,5,6}:{(142,1),(143,1),(144,1),(152,1),(153,1)}
       152:{1,4,5,6}:{(146,1),(147,1),(151,1)}
       153:{1,2,5,6}:{(148,1),(149,1),(150,1),(151,1)}

2298 :   0:{2,3,4,5,6}:{(2,1),(3,1),(39,1),(67,1),(94,1)}
         1:{3,4,5,6,7}:{(5,1),(6,1),(24,1),(98,1)}
         2:{2,3,4,5,7}:{(0,1),(7,1),(8,1),(51,1),(54,1),(83,1)}
         3:{1,2,4,5,6}:{(0,1),(8,1),(9,1),(27,1),(81,1),(84,1)}
         4:{1,3,4,5,6}:{(10,1),(11,1),(60,1),(67,1),(102,1)}
         5:{1,4,5,6,7}:{(1,1),(13,1),(101,1)}
         6:{2,4,5,6,7}:{(1,1),(12,1),(93,1)}
         7:{2,3,4,6,7}:{(2,1),(12,1),(15,1),(36,1)}
         8:{1,2,4,5,7}:{(2,1),(3,1),(15,1),(17,1),(40,1),(65,1),(69,1)}
         9:{1,3,5,6}:{(3,1),(17,1),(18,1)}
        10:{1,3,4,5,7}:{(4,1),(19,1),(20,1),(51,1),(75,1),(95,1)}
        11:{1,2,4,5,6}:{(4,1),(20,1),(21,1),(45,1),(82,1),(96,1)}
        12:{2,3,5,6,7}:{(6,1),(7,1),(22,1),(24,1),(83,1)}
        13:{1,3,5,6,7}:{(5,1),(19,1),(23,1),(24,1),(95,1)}
        14:{1,2,4,5,6,7}:{(5,1),(6,1),(22,1),(23,1),(24,1),(49,1),(50,1),(80,1)}
        15:{1,2,4,6,7}:{(7,1),(8,1),(22,1),(25,1),(49,1)}
        16:{1,2,3,5,6}:{(9,1),(26,1),(27,1),(55,1),(84,1),(85,1)}
        17:{1,3,5,7}:{(8,1),(9,1),(25,1),(28,1)}
        18:{1,3,4,6}:{(9,1),(27,1),(28,1),(29,1)}
        19:{1,3,4,6,7}:{(10,1),(13,1),(30,1),(36,1)}
        20:{1,2,4,5,7}:{(10,1),(11,1),(30,1),(32,1),(61,1),(66,1),(87,1)}
        21:{2,3,5,6}:{(11,1),(32,1),(33,1)}
        22:{1,2,5,6,7}:{(12,1),(15,1),(34,1),(69,1)}
        23:{1,2,5,6,7}:{(13,1),(30,1),(35,1),(87,1)}
        24:{3,5,6,7}:{(14,1),(36,1),(91,1)}
        25:{1,3,6,7}:{(15,1),(17,1)}
        26:{1,2,3,5,7}:{(16,1),(17,1),(37,1),(40,1),(69,1),(71,1)}
        27:{1,2,4,6}:{(16,1),(18,1),(39,1),(40,1),(41,1)}
        28:{1,3,4,7}:{(17,1),(18,1),(40,1)}
        29:{1,3,4,5}:{(18,1),(41,1)}
        30:{1,2,4,6,7}:{(19,1),(20,1),(23,1),(43,1),(50,1)}
        31:{1,2,3,5,6}:{(21,1),(44,1),(45,1),(76,1),(96,1),(97,1)}
        32:{2,3,5,7}:{(20,1),(21,1),(43,1),(46,1)}
        33:{2,3,4,6}:{(21,1),(45,1),(46,1),(47,1)}
        34:{1,3,5,6,7}:{(22,1),(24,1),(25,1),(49,1),(53,1)}
        35:{2,3,5,6,7}:{(23,1),(24,1),(43,1),(50,1),(74,1)}
        36:{3,4,6,7}:{(24,1),(49,1),(50,1),(51,1)}
        37:{1,2,3,6,7}:{(25,1),(26,1),(52,1),(85,1)}
        38:{1,3,4,6,7}:{(25,1),(28,1),(49,1),(52,1),(53,1),(57,1),(79,1)}
        39:{2,3,4,6}:{(27,1),(54,1),(55,1),(85,1)}
        40:{1,2,4,7}:{(26,1),(27,1),(28,1),(54,1)}
        41:{1,2,4,5}:{(27,1),(29,1),(55,1)}
        42:{1,3,4,5,7}:{(28,1),(29,1),(53,1),(56,1),(57,1),(98,1)}
        43:{2,3,6,7}:{(30,1),(32,1)}
        44:{1,2,3,5,7}:{(31,1),(32,1),(58,1),(61,1),(87,1),(89,1)}
        45:{1,2,4,6}:{(31,1),(33,1),(60,1),(61,1),(62,1)}
        46:{2,3,4,7}:{(32,1),(33,1),(61,1)}
        47:{2,3,4,5}:{(33,1),(62,1)}
        48:{1,2,3,5,6,7}:{(34,1),(35,1),(37,1),(58,1),(64,1),(69,1),(87,1),(91,1),(94,1),(102,1)}
        49:{1,4,6,7}:{(34,1),(36,1),(65,1)}
        50:{2,4,6,7}:{(35,1),(36,1),(66,1)}
        51:{3,4,5,7}:{(36,1),(65,1),(66,1),(67,1),(91,1)}
        52:{1,2,4,6,7}:{(37,1),(38,1),(40,1),(68,1),(69,1),(72,1)}
        53:{1,3,5,7}:{(38,1),(65,1),(69,1),(70,1),(91,1)}
        54:{2,3,4,7}:{(39,1),(40,1),(71,1)}
        55:{2,3,5}:{(39,1),(41,1)}
        56:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(69,1),(71,1),(72,1),(93,1)}
        57:{1,3,4,6}:{(42,1),(70,1),(72,1),(103,1)}
        58:{1,2,3,6,7}:{(43,1),(44,1),(73,1),(97,1)}
        59:{2,3,4,6,7}:{(43,1),(46,1),(50,1),(73,1),(74,1),(78,1),(79,1)}
        60:{1,3,4,6}:{(45,1),(75,1),(76,1),(97,1)}
        61:{1,2,4,7}:{(44,1),(45,1),(46,1),(75,1)}
        62:{1,2,4,5}:{(45,1),(47,1),(76,1)}
        63:{2,3,4,5,7}:{(46,1),(47,1),(74,1),(77,1),(78,1),(98,1)}
        64:{1,2,4,6,7}:{(48,1),(49,1),(50,1),(79,1),(80,1),(100,1),(104,1)}
        65:{1,4,5,7}:{(49,1),(51,1),(53,1),(81,1)}
        66:{2,4,5,7}:{(50,1),(51,1),(74,1),(82,1)}
        67:{3,4,5,6}:{(51,1),(81,1),(82,1),(99,1)}
        68:{2,3,4,6,7}:{(52,1),(54,1),(79,1),(83,1),(85,1),(100,1)}
        69:{1,2,5,7}:{(52,1),(53,1),(83,1),(84,1)}
        70:{1,3,5,6}:{(53,1),(57,1),(81,1),(84,1),(99,1)}
        71:{2,3,5,7}:{(54,1),(55,1),(56,1),(85,1)}
        72:{1,2,4,6}:{(56,1),(57,1),(84,1),(85,1),(100,1)}
        73:{1,2,4,6,7}:{(58,1),(59,1),(61,1),(86,1),(87,1),(90,1)}
        74:{2,3,5,7}:{(59,1),(66,1),(87,1),(88,1),(91,1)}
        75:{1,3,4,7}:{(60,1),(61,1),(89,1)}
        76:{1,3,5}:{(60,1),(62,1)}
        77:{1,2,4,5,7}:{(61,1),(62,1),(63,1),(87,1),(89,1),(90,1),(101,1)}
        78:{2,3,4,6}:{(63,1),(88,1),(90,1),(103,1)}
        79:{3,4,6,7}:{(64,1),(91,1),(103,1)}
        80:{1,2,4,5,7}:{(64,1),(65,1),(66,1),(69,1),(87,1),(91,1),(92,1),(93,1),(101,1)}
        81:{1,4,5,6}:{(65,1),(67,1),(70,1)}
        82:{2,4,5,6}:{(66,1),(67,1),(88,1)}
        83:{2,3,5,7}:{(68,1),(69,1),(91,1),(93,1),(94,1)}
        84:{1,2,5,6}:{(69,1),(70,1),(72,1),(94,1)}
        85:{2,3,6}:{(71,1),(72,1)}
        86:{1,3,4,6,7}:{(73,1),(75,1),(79,1),(95,1),(97,1),(104,1)}
        87:{1,2,5,7}:{(73,1),(74,1),(95,1),(96,1)}
        88:{2,3,5,6}:{(74,1),(78,1),(82,1),(96,1),(99,1)}
        89:{1,3,5,7}:{(75,1),(76,1),(77,1),(97,1)}
        90:{1,2,4,6}:{(77,1),(78,1),(96,1),(97,1),(104,1)}
        91:{3,5,7}:{(79,1),(80,1),(99,1)}
        92:{1,2,4,5,6}:{(80,1),(81,1),(82,1),(84,1),(96,1),(99,1),(100,1),(104,1)}
        93:{2,4,5,7}:{(83,1),(98,1),(100,1)}
        94:{2,3,5,6}:{(83,1),(84,1),(85,1),(99,1),(100,1)}
        95:{1,3,5,7}:{(86,1),(87,1),(91,1),(101,1),(102,1)}
        96:{1,2,5,6}:{(87,1),(88,1),(90,1),(102,1)}
        97:{1,3,6}:{(89,1),(90,1)}
        98:{3,4,5,7}:{(91,1),(93,1),(101,1),(103,1)}
        99:{3,5,6}:{(91,1),(92,1),(103,1)}
       100:{2,4,6}:{(93,1),(94,1),(103,1)}
       101:{1,4,5,7}:{(95,1),(98,1),(104,1)}
       102:{1,3,5,6}:{(95,1),(96,1),(97,1),(99,1),(104,1)}
       103:{3,4,6}:{(98,1),(99,1),(100,1),(104,1)}
       104:{1,4,6}:{(101,1),(102,1),(103,1)}

2299 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(14,1),(18,1),(37,1),(38,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(24,1),(47,1)}
        2:{1,2,4,5,7}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,5,6}:{(1,1),(5,1),(12,1),(34,1),(37,1)}
        4:{3,4,5,7}:{(2,1),(10,1),(24,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(10,1)}
        6:{1,2,3,5,6,7}:{(3,1),(11,1),(24,1),(43,1),(44,1),(47,1),(48,1)}
        7:{1,2,4,5,6}:{(5,1),(12,1),(13,1),(29,1),(30,1),(34,1)}
        8:{2,3,4,5,7}:{(4,1),(15,1),(16,1),(35,1),(51,1),(62,1)}
        9:{1,3,4,5,7}:{(4,1),(15,1),(17,1),(36,1),(51,1),(62,1)}
       10:{3,4,6}:{(4,1),(5,1),(12,1)}
       11:{1,2,4,6,7}:{(5,1),(6,1),(13,1),(18,1),(49,1),(50,1)}
       12:{3,5,6}:{(7,1),(10,1),(24,1)}
       13:{1,2,4,5,7}:{(7,1),(11,1),(24,1),(41,1),(42,1),(47,1)}
       14:{1,2,3,4,7}:{(21,1),(25,1),(60,1)}
       15:{1,2,4,5,7}:{(8,1),(9,1),(25,1),(26,1),(45,1),(47,1),(60,1)}
       16:{2,3,4,6}:{(8,1),(10,1),(22,1),(26,1),(58,1)}
       17:{1,3,4,6}:{(9,1),(10,1),(23,1),(26,1),(58,1)}
       18:{3,4,6,7}:{(10,1),(11,1),(24,1)}
       19:{3,4,5,6}:{(12,1),(29,1),(30,1),(31,1),(52,1)}
       20:{1,2,4,5,6,7}:{(13,1),(32,1),(49,1),(50,1),(54,1)}
       21:{1,2,3,4,6}:{(14,1),(33,1),(37,1),(55,1)}
       22:{2,3,5,6}:{(12,1),(16,1),(29,1),(34,1),(35,1),(52,1)}
       23:{1,3,5,6}:{(12,1),(17,1),(30,1),(34,1),(36,1),(52,1)}
       24:{3,5,7}:{(12,1),(13,1),(18,1)}
       25:{1,2,3,5,7}:{(14,1),(15,1),(33,1),(37,1)}
       26:{1,2,4,6}:{(15,1),(16,1),(17,1),(34,1),(37,1)}
       27:{2,3,4,6,7}:{(16,1),(18,1),(35,1),(38,1),(49,1),(61,1),(62,1)}
       28:{1,3,4,6,7}:{(17,1),(18,1),(36,1),(38,1),(50,1),(61,1),(62,1)}
       29:{2,4,5,6}:{(19,1),(22,1),(41,1)}
       30:{1,4,5,6}:{(19,1),(23,1),(42,1)}
       31:{3,4,5,7}:{(19,1),(24,1),(39,1),(41,1),(42,1),(59,1)}
       32:{3,5,6,7}:{(20,1),(24,1),(39,1)}
       33:{1,2,3,5}:{(21,1),(45,1)}
       34:{1,2,5,6}:{(22,1),(23,1),(26,1),(47,1)}
       35:{2,3,5,7}:{(22,1),(24,1),(27,1),(41,1),(47,1),(59,1)}
       36:{1,3,5,7}:{(23,1),(24,1),(28,1),(42,1),(47,1),(59,1)}
       37:{1,2,3,6}:{(25,1),(26,1)}
       38:{1,2,4,6,7}:{(26,1),(27,1),(28,1),(47,1),(48,1),(60,1)}
       39:{3,4,6,7}:{(31,1),(32,1),(49,1),(50,1),(61,1)}
       40:{1,2,4,5,6}:{(29,1),(30,1),(34,1),(52,1),(53,1),(55,1)}
       41:{2,4,5,7}:{(29,1),(31,1),(35,1),(49,1)}
       42:{1,4,5,7}:{(30,1),(31,1),(36,1),(50,1)}
       43:{2,3,5,6,7}:{(32,1),(35,1),(49,1),(54,1),(61,1)}
       44:{1,3,5,6,7}:{(32,1),(36,1),(50,1),(54,1),(61,1)}
       45:{1,2,4,5}:{(33,1),(51,1),(55,1)}
       46:{1,2,3,5,6}:{(33,1),(34,1),(37,1),(52,1),(55,1),(56,1)}
       47:{1,2,5,7}:{(34,1),(35,1),(36,1),(38,1)}
       48:{1,2,3,6,7}:{(37,1),(38,1),(56,1),(61,1)}
       49:{2,4,6,7}:{(39,1),(41,1),(43,1)}
       50:{1,4,6,7}:{(39,1),(42,1),(44,1)}
       51:{3,4,5}:{(45,1),(58,1)}
       52:{3,5,6}:{(40,1),(58,1),(59,1)}
       53:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(47,1),(57,1),(59,1),(60,1)}
       54:{1,2,5,6,7}:{(43,1),(44,1),(47,1),(57,1)}
       55:{1,2,4,6}:{(45,1),(46,1),(58,1),(60,1)}
       56:{1,2,3,5,7}:{(46,1),(47,1),(48,1),(59,1),(60,1)}
       57:{1,2,4,6,7}:{(49,1),(50,1),(53,1),(54,1),(61,1)}
       58:{3,4,6}:{(51,1),(52,1),(55,1),(62,1)}
       59:{3,5,7}:{(52,1),(53,1),(61,1),(62,1)}
       60:{1,2,4,7}:{(55,1),(56,1),(62,1)}
       61:{3,6,7}:{(57,1),(59,1)}
       62:{3,4,7}:{(58,1),(59,1),(60,1)}

2300 :   0:{3,4,5,6,7}:{(1,1),(2,1),(22,1),(143,1)}
         1:{2,4,5,6,7}:{(0,1),(6,1),(147,1)}
         2:{1,4,5,6,7}:{(0,1),(7,1),(149,1)}
         3:{2,3,4,5,6}:{(10,1),(11,1),(41,1),(93,1),(122,1)}
         4:{1,3,4,5,6}:{(13,1),(14,1),(41,1),(97,1),(126,1)}
         5:{1,2,3,4,6,7}:{(15,1),(17,1),(19,1),(52,1),(56,1),(60,1),(103,1),(107,1),(110,1)}
         6:{2,3,5,6,7}:{(1,1),(16,1),(20,1),(22,1),(138,1)}
         7:{1,3,5,6,7}:{(2,1),(18,1),(21,1),(22,1),(141,1)}
         8:{1,2,4,5,6,7}:{(1,1),(2,1),(20,1),(21,1),(22,1),(63,1),(65,1),(111,1)}
         9:{1,2,3,4,6}:{(15,1),(23,1),(52,1),(68,1)}
        10:{1,2,4,5,6}:{(3,1),(25,1),(26,1),(62,1),(68,1),(102,1)}
        11:{2,3,4,5,7}:{(3,1),(16,1),(26,1),(66,1),(115,1),(138,1)}
        12:{1,2,3,4,6}:{(17,1),(27,1),(56,1),(73,1)}
        13:{1,2,4,5,6}:{(4,1),(29,1),(30,1),(64,1),(73,1),(106,1)}
        14:{1,3,4,5,7}:{(4,1),(18,1),(30,1),(66,1),(119,1),(141,1)}
        15:{1,2,3,4,7}:{(9,1),(31,1),(95,1)}
        16:{2,3,4,6,7}:{(6,1),(11,1),(33,1),(42,1)}
        17:{1,2,3,4,7}:{(12,1),(34,1),(99,1)}
        18:{1,3,4,6,7}:{(7,1),(14,1),(36,1),(42,1)}
        19:{1,2,3,5,7}:{(5,1),(37,1),(38,1),(124,1),(128,1),(131,1)}
        20:{1,2,5,6,7}:{(6,1),(33,1),(39,1),(124,1)}
        21:{1,2,5,6,7}:{(7,1),(36,1),(40,1),(128,1)}
        22:{3,5,6,7}:{(8,1),(42,1),(131,1)}
        23:{1,2,3,5}:{(9,1),(43,1)}
        24:{1,3,4,5}:{(43,1),(45,1)}
        25:{1,3,5,6}:{(10,1),(45,1),(46,1)}
        26:{1,2,4,5,7}:{(10,1),(11,1),(33,1),(46,1),(90,1),(95,1),(124,1)}
        27:{1,2,3,5}:{(12,1),(47,1)}
        28:{2,3,4,5}:{(47,1),(49,1)}
        29:{2,3,5,6}:{(13,1),(49,1),(50,1)}
        30:{1,2,4,5,7}:{(13,1),(14,1),(36,1),(50,1),(91,1),(99,1),(128,1)}
        31:{1,2,3,5,7}:{(15,1),(23,1),(51,1),(52,1)}
        32:{1,3,4,5,7}:{(24,1),(51,1),(53,1),(59,1),(71,1),(104,1)}
        33:{1,2,4,6,7}:{(16,1),(20,1),(26,1),(54,1),(63,1)}
        34:{1,2,3,5,7}:{(17,1),(27,1),(55,1),(56,1)}
        35:{2,3,4,5,7}:{(28,1),(55,1),(57,1),(59,1),(76,1),(108,1)}
        36:{1,2,4,6,7}:{(18,1),(21,1),(30,1),(58,1),(65,1)}
        37:{1,2,4,5,7}:{(19,1),(59,1),(60,1)}
        38:{1,2,3,5,6}:{(19,1),(52,1),(56,1),(60,1),(102,1),(106,1),(109,1)}
        39:{1,3,5,6,7}:{(20,1),(22,1),(54,1),(63,1),(104,1)}
        40:{2,3,5,6,7}:{(21,1),(22,1),(58,1),(65,1),(108,1)}
        41:{3,4,5,6}:{(62,1),(64,1),(66,1),(109,1)}
        42:{3,4,6,7}:{(22,1),(63,1),(65,1),(66,1)}
        43:{1,2,4,5}:{(23,1),(24,1),(67,1),(68,1)}
        44:{1,2,3,5,6}:{(23,1),(25,1),(52,1),(68,1),(69,1),(102,1),(114,1)}
        45:{1,3,4,6}:{(24,1),(25,1),(68,1),(71,1)}
        46:{1,3,5,7}:{(25,1),(26,1),(54,1),(71,1)}
        47:{1,2,4,5}:{(27,1),(28,1),(72,1),(73,1)}
        48:{1,2,3,5,6}:{(27,1),(29,1),(56,1),(73,1),(74,1),(106,1),(118,1)}
        49:{2,3,4,6}:{(28,1),(29,1),(73,1),(76,1)}
        50:{2,3,5,7}:{(29,1),(30,1),(58,1),(76,1)}
        51:{1,2,4,5,7}:{(31,1),(32,1),(43,1),(77,1),(78,1),(95,1),(124,1)}
        52:{1,2,3,6}:{(31,1),(78,1)}
        53:{1,3,4,6}:{(32,1),(78,1),(80,1),(87,1)}
        54:{1,3,6,7}:{(33,1),(46,1)}
        55:{1,2,4,5,7}:{(34,1),(35,1),(47,1),(82,1),(83,1),(99,1),(128,1)}
        56:{1,2,3,6}:{(34,1),(83,1)}
        57:{2,3,4,6}:{(35,1),(83,1),(85,1),(87,1)}
        58:{2,3,6,7}:{(36,1),(50,1)}
        59:{3,4,5,7}:{(37,1),(87,1),(131,1)}
        60:{1,2,4,6}:{(37,1),(38,1),(87,1)}
        61:{1,2,3,5,6,7}:{(38,1),(39,1),(40,1),(79,1),(84,1),(89,1),(124,1),(128,1),(131,1),(148,1),(150,1)}
        62:{1,4,5,6}:{(41,1),(80,1),(90,1)}
        63:{1,4,6,7}:{(39,1),(42,1),(90,1)}
        64:{2,4,5,6}:{(41,1),(85,1),(91,1)}
        65:{2,4,6,7}:{(40,1),(42,1),(91,1)}
        66:{3,4,5,7}:{(41,1),(42,1),(90,1),(91,1),(131,1)}
        67:{2,3,4,5}:{(43,1),(93,1)}
        68:{1,2,4,6}:{(43,1),(44,1),(45,1),(93,1),(95,1)}
        69:{1,2,3,5,7}:{(44,1),(46,1),(79,1),(95,1),(124,1),(133,1)}
        70:{1,3,4,5,6}:{(45,1),(80,1),(94,1),(96,1),(130,1)}
        71:{1,3,4,7}:{(45,1),(46,1),(95,1)}
        72:{1,3,4,5}:{(47,1),(97,1)}
        73:{1,2,4,6}:{(47,1),(48,1),(49,1),(97,1),(99,1)}
        74:{1,2,3,5,7}:{(48,1),(50,1),(84,1),(99,1),(128,1),(135,1)}
        75:{2,3,4,5,6}:{(49,1),(85,1),(98,1),(100,1),(130,1)}
        76:{2,3,4,7}:{(49,1),(50,1),(99,1)}
        77:{2,3,4,5,7}:{(51,1),(59,1),(67,1),(101,1),(115,1),(138,1)}
        78:{1,2,4,6}:{(51,1),(52,1),(53,1),(101,1),(102,1)}
        79:{1,2,3,6,7}:{(52,1),(54,1),(69,1),(103,1),(145,1)}
        80:{1,3,5,6}:{(53,1),(62,1),(102,1),(104,1),(109,1)}
        81:{1,3,4,6,7}:{(53,1),(54,1),(63,1),(71,1),(103,1),(104,1),(110,1)}
        82:{1,3,4,5,7}:{(55,1),(59,1),(72,1),(105,1),(119,1),(141,1)}
        83:{1,2,4,6}:{(55,1),(56,1),(57,1),(105,1),(106,1)}
        84:{1,2,3,6,7}:{(56,1),(58,1),(74,1),(107,1),(146,1)}
        85:{2,3,5,6}:{(57,1),(64,1),(106,1),(108,1),(109,1)}
        86:{2,3,4,6,7}:{(57,1),(58,1),(65,1),(76,1),(107,1),(108,1),(110,1)}
        87:{3,4,6}:{(59,1),(60,1),(109,1)}
        88:{1,2,4,5,6}:{(60,1),(62,1),(64,1),(102,1),(106,1),(109,1),(111,1),(137,1),(140,1)}
        89:{1,2,4,6,7}:{(60,1),(61,1),(63,1),(65,1),(110,1),(111,1),(152,1),(153,1)}
        90:{1,4,5,7}:{(62,1),(63,1),(66,1),(104,1)}
        91:{2,4,5,7}:{(64,1),(65,1),(66,1),(108,1)}
        92:{3,4,5,6,7}:{(66,1),(112,1),(113,1),(144,1)}
        93:{2,3,4,6}:{(67,1),(68,1),(114,1),(115,1)}
        94:{1,2,4,5,6}:{(68,1),(70,1),(102,1),(114,1),(116,1),(137,1)}
        95:{1,2,4,7}:{(68,1),(69,1),(71,1),(115,1)}
        96:{1,3,4,5,7}:{(70,1),(71,1),(104,1),(116,1),(117,1),(143,1)}
        97:{1,3,4,6}:{(72,1),(73,1),(118,1),(119,1)}
        98:{1,2,4,5,6}:{(73,1),(75,1),(106,1),(118,1),(120,1),(140,1)}
        99:{1,2,4,7}:{(73,1),(74,1),(76,1),(119,1)}
       100:{2,3,4,5,7}:{(75,1),(76,1),(108,1),(120,1),(121,1),(143,1)}
       101:{2,3,4,6}:{(77,1),(78,1),(87,1),(122,1)}
       102:{1,2,5,6}:{(78,1),(80,1),(122,1),(124,1)}
       103:{1,2,4,6,7}:{(78,1),(79,1),(81,1),(95,1),(123,1),(124,1)}
       104:{1,3,5,7}:{(80,1),(81,1),(90,1),(124,1),(131,1)}
       105:{1,3,4,6}:{(82,1),(83,1),(87,1),(126,1)}
       106:{1,2,5,6}:{(83,1),(85,1),(126,1),(128,1)}
       107:{1,2,4,6,7}:{(83,1),(84,1),(86,1),(99,1),(127,1),(128,1)}
       108:{2,3,5,7}:{(85,1),(86,1),(91,1),(128,1),(131,1)}
       109:{3,5,6}:{(87,1),(88,1),(131,1)}
       110:{3,4,6,7}:{(87,1),(89,1),(131,1)}
       111:{1,2,4,5,7}:{(88,1),(89,1),(90,1),(91,1),(124,1),(128,1),(131,1),(147,1),(149,1)}
       112:{1,4,5,6,7}:{(90,1),(92,1),(125,1)}
       113:{2,4,5,6,7}:{(91,1),(92,1),(129,1)}
       114:{2,3,5,6}:{(93,1),(94,1),(133,1)}
       115:{2,3,4,7}:{(93,1),(95,1),(133,1)}
       116:{1,2,4,5,7}:{(94,1),(95,1),(96,1),(124,1),(133,1),(134,1),(147,1)}
       117:{1,3,4,6,7}:{(96,1),(125,1),(134,1),(151,1)}
       118:{1,3,5,6}:{(97,1),(98,1),(135,1)}
       119:{1,3,4,7}:{(97,1),(99,1),(135,1)}
       120:{1,2,4,5,7}:{(98,1),(99,1),(100,1),(128,1),(135,1),(136,1),(149,1)}
       121:{2,3,4,6,7}:{(100,1),(129,1),(136,1),(151,1)}
       122:{2,3,5,6}:{(101,1),(102,1),(109,1),(137,1),(138,1)}
       123:{2,3,4,6,7}:{(101,1),(103,1),(110,1),(115,1),(138,1),(145,1),(152,1)}
       124:{1,2,5,7}:{(102,1),(103,1),(104,1),(138,1)}
       125:{1,3,5,6,7}:{(104,1),(112,1),(117,1),(139,1),(144,1)}
       126:{1,3,5,6}:{(105,1),(106,1),(109,1),(140,1),(141,1)}
       127:{1,3,4,6,7}:{(105,1),(107,1),(110,1),(119,1),(141,1),(146,1),(153,1)}
       128:{1,2,5,7}:{(106,1),(107,1),(108,1),(141,1)}
       129:{2,3,5,6,7}:{(108,1),(113,1),(121,1),(142,1),(144,1)}
       130:{3,4,5,6}:{(109,1),(137,1),(140,1),(143,1)}
       131:{3,5,7}:{(109,1),(110,1),(111,1)}
       132:{1,2,4,5,6,7}:{(111,1),(112,1),(113,1),(139,1),(142,1),(144,1),(152,1),(153,1)}
       133:{2,3,5,7}:{(114,1),(115,1),(116,1),(145,1)}
       134:{1,2,4,6,7}:{(116,1),(117,1),(139,1),(145,1),(152,1)}
       135:{1,3,5,7}:{(118,1),(119,1),(120,1),(146,1)}
       136:{1,2,4,6,7}:{(120,1),(121,1),(142,1),(146,1),(153,1)}
       137:{2,4,5,6}:{(122,1),(130,1),(147,1)}
       138:{2,3,5,7}:{(122,1),(123,1),(124,1),(131,1),(147,1)}
       139:{1,2,5,6,7}:{(124,1),(125,1),(134,1),(148,1)}
       140:{1,4,5,6}:{(126,1),(130,1),(149,1)}
       141:{1,3,5,7}:{(126,1),(127,1),(128,1),(131,1),(149,1)}
       142:{1,2,5,6,7}:{(128,1),(129,1),(136,1),(150,1)}
       143:{3,4,5,7}:{(130,1),(131,1),(147,1),(149,1),(151,1)}
       144:{3,5,6,7}:{(131,1),(132,1),(151,1)}
       145:{2,3,6,7}:{(133,1),(134,1)}
       146:{1,3,6,7}:{(135,1),(136,1)}
       147:{2,4,5,7}:{(137,1),(138,1),(143,1),(152,1)}
       148:{2,3,5,6,7}:{(138,1),(139,1),(144,1),(145,1),(152,1)}
       149:{1,4,5,7}:{(140,1),(141,1),(143,1),(153,1)}
       150:{1,3,5,6,7}:{(141,1),(142,1),(144,1),(146,1),(153,1)}
       151:{3,4,6,7}:{(143,1),(144,1),(152,1),(153,1)}
       152:{2,4,6,7}:{(147,1),(148,1),(151,1)}
       153:{1,4,6,7}:{(149,1),(150,1),(151,1)}

2301 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(16,1),(40,1),(41,1),(42,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(24,1),(47,1)}
        2:{1,2,3,5,6}:{(1,1),(5,1),(15,1),(39,1),(41,1)}
        3:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        4:{1,2,3,5,6,7}:{(2,1),(9,1),(22,1),(23,1),(24,1),(47,1),(49,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(10,1)}
        6:{3,4,5,7}:{(3,1),(10,1),(24,1)}
        7:{1,2,4,5,6,7}:{(13,1),(14,1),(34,1),(35,1),(36,1)}
        8:{1,2,4,5,6}:{(5,1),(14,1),(15,1),(32,1),(33,1),(39,1)}
        9:{1,2,4,6,7}:{(4,1),(5,1),(14,1),(16,1),(34,1),(35,1)}
       10:{3,4,6}:{(5,1),(6,1),(15,1)}
       11:{1,3,4,5,7}:{(6,1),(17,1),(19,1),(37,1),(61,1),(62,1)}
       12:{2,3,4,5,7}:{(6,1),(18,1),(19,1),(38,1),(61,1),(62,1)}
       13:{3,5,6,7}:{(7,1),(21,1),(24,1)}
       14:{1,2,4,5,7}:{(8,1),(9,1),(24,1),(43,1),(44,1),(47,1)}
       15:{3,5,6}:{(8,1),(10,1),(24,1)}
       16:{3,4,6,7}:{(9,1),(10,1),(24,1)}
       17:{1,3,4,6}:{(10,1),(11,1),(25,1),(29,1),(58,1)}
       18:{2,3,4,6}:{(10,1),(12,1),(26,1),(29,1),(58,1)}
       19:{1,2,4,5,7}:{(11,1),(12,1),(29,1),(30,1),(47,1),(59,1),(60,1)}
       20:{3,4,5,6}:{(15,1),(31,1),(32,1),(33,1),(52,1)}
       21:{3,4,6,7}:{(13,1),(31,1),(34,1),(35,1),(53,1)}
       22:{1,3,5,6,7}:{(13,1),(34,1),(36,1),(37,1),(53,1)}
       23:{2,3,5,6,7}:{(13,1),(35,1),(36,1),(38,1),(53,1)}
       24:{3,5,7}:{(14,1),(15,1),(16,1)}
       25:{1,3,5,6}:{(15,1),(17,1),(32,1),(37,1),(39,1),(52,1)}
       26:{2,3,5,6}:{(15,1),(18,1),(33,1),(38,1),(39,1),(52,1)}
       27:{1,3,4,6,7}:{(16,1),(17,1),(34,1),(37,1),(40,1),(53,1),(61,1)}
       28:{2,3,4,6,7}:{(16,1),(18,1),(35,1),(38,1),(40,1),(53,1),(61,1)}
       29:{1,2,4,6}:{(17,1),(18,1),(19,1),(39,1),(41,1)}
       30:{1,2,3,5,7}:{(19,1),(41,1),(42,1),(56,1)}
       31:{3,4,5,7}:{(20,1),(21,1),(24,1),(43,1),(44,1),(57,1)}
       32:{1,4,5,6}:{(20,1),(25,1),(43,1)}
       33:{2,4,5,6}:{(20,1),(26,1),(44,1)}
       34:{1,4,6,7}:{(21,1),(22,1),(43,1)}
       35:{2,4,6,7}:{(21,1),(23,1),(44,1)}
       36:{1,2,5,6,7}:{(22,1),(23,1),(46,1),(47,1)}
       37:{1,3,5,7}:{(24,1),(25,1),(27,1),(43,1),(47,1),(57,1)}
       38:{2,3,5,7}:{(24,1),(26,1),(28,1),(44,1),(47,1),(57,1)}
       39:{1,2,5,6}:{(25,1),(26,1),(29,1),(47,1)}
       40:{1,2,4,6,7}:{(27,1),(28,1),(29,1),(47,1),(49,1),(59,1)}
       41:{1,2,3,6}:{(29,1),(30,1)}
       42:{1,2,3,4,7}:{(30,1),(50,1),(59,1)}
       43:{1,4,5,7}:{(31,1),(32,1),(34,1),(37,1)}
       44:{2,4,5,7}:{(31,1),(33,1),(35,1),(38,1)}
       45:{1,2,4,5,6}:{(32,1),(33,1),(39,1),(51,1),(52,1),(55,1)}
       46:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(51,1),(53,1)}
       47:{1,2,5,7}:{(37,1),(38,1),(39,1),(40,1)}
       48:{1,2,3,5,6}:{(39,1),(41,1),(52,1),(54,1),(55,1),(56,1)}
       49:{1,2,3,6,7}:{(40,1),(41,1),(53,1),(54,1)}
       50:{1,2,3,4,6}:{(41,1),(42,1),(55,1),(56,1)}
       51:{1,2,4,5,7}:{(43,1),(44,1),(45,1),(46,1),(47,1),(57,1),(59,1)}
       52:{3,5,6}:{(45,1),(57,1),(58,1)}
       53:{3,6,7}:{(46,1),(57,1)}
       54:{1,2,3,5,7}:{(47,1),(48,1),(49,1),(57,1),(59,1)}
       55:{1,2,4,6}:{(48,1),(58,1),(59,1),(60,1)}
       56:{1,2,3,5}:{(50,1),(60,1)}
       57:{3,5,7}:{(51,1),(52,1),(53,1),(61,1)}
       58:{3,4,6}:{(52,1),(55,1),(61,1),(62,1)}
       59:{1,2,4,7}:{(54,1),(55,1),(61,1)}
       60:{1,2,4,5}:{(55,1),(56,1),(62,1)}
       61:{3,4,7}:{(57,1),(58,1),(59,1)}
       62:{3,4,5}:{(58,1),(60,1)}

2302 :  0:{1,2,3,4,5,7}:{(1,1),(4,1),(33,1),(34,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,2,3,4,6,7}:{(1,1),(4,1),(9,1),(32,1),(33,1)}
        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),(18,1),(31,1),(32,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{3,4,5,6}:{(5,1),(10,1)}
        9:{1,2,4,6,7}:{(6,1),(7,1),(14,1)}
       10:{3,4,5,7}:{(7,1),(8,1),(14,1)}
       11:{1,3,4,5,6}:{(8,1),(15,1),(17,1),(48,1)}
       12:{2,3,4,5,6}:{(8,1),(16,1),(17,1),(48,1)}
       13:{1,2,4,5,6,7}:{(9,1),(18,1),(29,1),(30,1),(31,1)}
       14:{3,4,6,7}:{(9,1),(10,1),(18,1)}
       15:{1,3,4,5,7}:{(10,1),(11,1),(19,1),(21,1),(46,1)}
       16:{2,3,4,5,7}:{(10,1),(12,1),(20,1),(21,1),(46,1)}
       17:{1,2,4,5,6}:{(11,1),(12,1),(21,1),(22,1)}
       18:{3,5,6,7}:{(13,1),(14,1)}
       19:{1,3,4,6,7}:{(14,1),(15,1),(24,1),(26,1),(43,1)}
       20:{2,3,4,6,7}:{(14,1),(16,1),(25,1),(26,1),(43,1)}
       21:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(26,1),(27,1)}
       22:{1,2,3,5,6}:{(17,1),(27,1),(28,1)}
       23:{3,4,5,6,7}:{(18,1),(29,1),(30,1),(39,1)}
       24:{1,3,5,6,7}:{(18,1),(19,1),(29,1),(31,1),(39,1)}
       25:{2,3,5,6,7}:{(18,1),(20,1),(30,1),(31,1),(39,1)}
       26:{1,2,4,6,7}:{(19,1),(20,1),(21,1),(31,1),(32,1)}
       27:{1,2,3,5,7}:{(21,1),(22,1),(32,1),(33,1)}
       28:{1,2,3,4,6}:{(22,1),(33,1),(34,1)}
       29:{1,4,5,6,7}:{(23,1),(24,1)}
       30:{2,4,5,6,7}:{(23,1),(25,1)}
       31:{1,2,5,6,7}:{(24,1),(25,1),(26,1)}
       32:{1,2,3,6,7}:{(26,1),(27,1)}
       33:{1,2,3,4,7}:{(27,1),(28,1)}
       34:{1,2,3,4,5}:{(28,1)}
       35:{1,2,4,5,6,7}:{(29,1),(30,1),(31,1),(39,1),(40,1)}
       36:{1,2,3,5,6,7}:{(31,1),(32,1),(39,1),(40,1),(41,1)}
       37:{1,2,3,4,6,7}:{(32,1),(33,1),(40,1),(41,1),(42,1)}
       38:{1,2,3,4,5,7}:{(33,1),(34,1),(41,1),(42,1)}
       39:{3,5,6,7}:{(35,1),(43,1)}
       40:{1,2,4,6,7}:{(36,1),(43,1),(44,1)}
       41:{1,2,3,5,7}:{(37,1),(44,1),(45,1)}
       42:{1,2,3,4,6}:{(38,1),(45,1)}
       43:{3,4,6,7}:{(39,1),(40,1),(46,1)}
       44:{1,2,4,5,7}:{(40,1),(41,1),(46,1),(47,1)}
       45:{1,2,3,5,6}:{(41,1),(42,1),(47,1)}
       46:{3,4,5,7}:{(43,1),(44,1),(48,1)}
       47:{1,2,4,5,6}:{(44,1),(45,1),(48,1)}
       48:{3,4,5,6}:{(46,1),(47,1)}

2303 :  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:{3,4,5,6}:{(4,1),(9,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,2,3,6,7}:{(5,1),(10,1)}
        9:{3,4,5,7}:{(6,1),(7,1),(11,1)}
       10:{1,2,4,6,7}:{(7,1),(8,1),(11,1),(12,1)}
       11:{3,4,6,7}:{(9,1),(10,1),(13,1)}
       12:{1,2,5,6,7}:{(10,1),(13,1)}
       13:{3,5,6,7}:{(11,1),(12,1),(14,1)}
       14:{4,5,6,7}:{(13,1)}

2304 :   0:{3,4,5,6,7}:{(3,1),(4,1),(20,1),(96,1)}
         1:{1,3,4,5,6}:{(5,1),(6,1),(48,1),(61,1),(99,1)}
         2:{2,3,4,5,6}:{(7,1),(8,1),(54,1),(61,1),(101,1)}
         3:{1,4,5,6,7}:{(0,1),(10,1),(98,1)}
         4:{2,4,5,6,7}:{(0,1),(9,1),(100,1)}
         5:{1,3,4,5,7}:{(1,1),(12,1),(13,1),(45,1),(64,1),(90,1)}
         6:{1,2,4,5,6}:{(1,1),(13,1),(14,1),(34,1),(77,1),(91,1)}
         7:{2,3,4,5,7}:{(2,1),(15,1),(16,1),(45,1),(70,1),(93,1)}
         8:{1,2,4,5,6}:{(2,1),(16,1),(17,1),(39,1),(76,1),(94,1)}
         9:{2,3,5,6,7}:{(4,1),(15,1),(18,1),(20,1),(93,1)}
        10:{1,3,5,6,7}:{(3,1),(12,1),(19,1),(20,1),(90,1)}
        11:{1,2,4,5,6,7}:{(3,1),(4,1),(18,1),(19,1),(20,1),(43,1),(44,1),(75,1)}
        12:{1,3,4,6,7}:{(5,1),(10,1),(21,1),(31,1)}
        13:{1,2,4,5,7}:{(5,1),(6,1),(21,1),(23,1),(49,1),(60,1),(79,1)}
        14:{2,3,5,6}:{(6,1),(23,1),(24,1)}
        15:{2,3,4,6,7}:{(7,1),(9,1),(25,1),(31,1)}
        16:{1,2,4,5,7}:{(7,1),(8,1),(25,1),(27,1),(55,1),(59,1),(84,1)}
        17:{1,3,5,6}:{(8,1),(27,1),(28,1)}
        18:{1,2,5,6,7}:{(9,1),(25,1),(29,1),(84,1)}
        19:{1,2,5,6,7}:{(10,1),(21,1),(30,1),(79,1)}
        20:{3,5,6,7}:{(11,1),(31,1),(88,1)}
        21:{1,2,4,6,7}:{(12,1),(13,1),(19,1),(32,1),(44,1)}
        22:{1,2,3,5,6}:{(14,1),(33,1),(34,1),(65,1),(91,1),(92,1)}
        23:{2,3,5,7}:{(13,1),(14,1),(32,1),(35,1)}
        24:{2,3,4,6}:{(14,1),(34,1),(35,1),(36,1)}
        25:{1,2,4,6,7}:{(15,1),(16,1),(18,1),(37,1),(43,1)}
        26:{1,2,3,5,6}:{(17,1),(38,1),(39,1),(71,1),(94,1),(95,1)}
        27:{1,3,5,7}:{(16,1),(17,1),(37,1),(40,1)}
        28:{1,3,4,6}:{(17,1),(39,1),(40,1),(41,1)}
        29:{1,3,5,6,7}:{(18,1),(20,1),(37,1),(43,1),(69,1)}
        30:{2,3,5,6,7}:{(19,1),(20,1),(32,1),(44,1),(63,1)}
        31:{3,4,6,7}:{(20,1),(43,1),(44,1),(45,1)}
        32:{2,3,6,7}:{(21,1),(23,1)}
        33:{1,2,3,5,7}:{(22,1),(23,1),(46,1),(49,1),(79,1),(81,1)}
        34:{1,2,4,6}:{(22,1),(24,1),(48,1),(49,1),(50,1)}
        35:{2,3,4,7}:{(23,1),(24,1),(49,1)}
        36:{2,3,4,5}:{(24,1),(50,1)}
        37:{1,3,6,7}:{(25,1),(27,1)}
        38:{1,2,3,5,7}:{(26,1),(27,1),(52,1),(55,1),(84,1),(86,1)}
        39:{1,2,4,6}:{(26,1),(28,1),(54,1),(55,1),(56,1)}
        40:{1,3,4,7}:{(27,1),(28,1),(55,1)}
        41:{1,3,4,5}:{(28,1),(56,1)}
        42:{1,2,3,5,6,7}:{(29,1),(30,1),(46,1),(52,1),(58,1),(79,1),(84,1),(88,1),(99,1),(101,1)}
        43:{1,4,6,7}:{(29,1),(31,1),(59,1)}
        44:{2,4,6,7}:{(30,1),(31,1),(60,1)}
        45:{3,4,5,7}:{(31,1),(59,1),(60,1),(61,1),(88,1)}
        46:{1,2,3,6,7}:{(32,1),(33,1),(62,1),(92,1)}
        47:{2,3,4,6,7}:{(32,1),(35,1),(44,1),(62,1),(63,1),(67,1),(74,1)}
        48:{1,3,4,6}:{(34,1),(64,1),(65,1),(92,1)}
        49:{1,2,4,7}:{(33,1),(34,1),(35,1),(64,1)}
        50:{1,2,4,5}:{(34,1),(36,1),(65,1)}
        51:{2,3,4,5,7}:{(35,1),(36,1),(63,1),(66,1),(67,1),(96,1)}
        52:{1,2,3,6,7}:{(37,1),(38,1),(68,1),(95,1)}
        53:{1,3,4,6,7}:{(37,1),(40,1),(43,1),(68,1),(69,1),(73,1),(74,1)}
        54:{2,3,4,6}:{(39,1),(70,1),(71,1),(95,1)}
        55:{1,2,4,7}:{(38,1),(39,1),(40,1),(70,1)}
        56:{1,2,4,5}:{(39,1),(41,1),(71,1)}
        57:{1,3,4,5,7}:{(40,1),(41,1),(69,1),(72,1),(73,1),(96,1)}
        58:{1,2,4,6,7}:{(42,1),(43,1),(44,1),(74,1),(75,1),(103,1),(104,1)}
        59:{1,4,5,7}:{(43,1),(45,1),(69,1),(76,1)}
        60:{2,4,5,7}:{(44,1),(45,1),(63,1),(77,1)}
        61:{3,4,5,6}:{(45,1),(76,1),(77,1),(97,1)}
        62:{1,2,4,6,7}:{(46,1),(47,1),(49,1),(78,1),(79,1),(82,1)}
        63:{2,3,5,7}:{(47,1),(60,1),(79,1),(80,1),(88,1)}
        64:{1,3,4,7}:{(48,1),(49,1),(81,1)}
        65:{1,3,5}:{(48,1),(50,1)}
        66:{1,2,4,5,7}:{(49,1),(50,1),(51,1),(79,1),(81,1),(82,1),(98,1)}
        67:{2,3,4,6}:{(51,1),(80,1),(82,1),(102,1)}
        68:{1,2,4,6,7}:{(52,1),(53,1),(55,1),(83,1),(84,1),(87,1)}
        69:{1,3,5,7}:{(53,1),(59,1),(84,1),(85,1),(88,1)}
        70:{2,3,4,7}:{(54,1),(55,1),(86,1)}
        71:{2,3,5}:{(54,1),(56,1)}
        72:{1,2,4,5,7}:{(55,1),(56,1),(57,1),(84,1),(86,1),(87,1),(100,1)}
        73:{1,3,4,6}:{(57,1),(85,1),(87,1),(102,1)}
        74:{3,4,6,7}:{(58,1),(88,1),(102,1)}
        75:{1,2,4,5,7}:{(58,1),(59,1),(60,1),(79,1),(84,1),(88,1),(89,1),(98,1),(100,1)}
        76:{1,4,5,6}:{(59,1),(61,1),(85,1)}
        77:{2,4,5,6}:{(60,1),(61,1),(80,1)}
        78:{1,3,4,6,7}:{(62,1),(64,1),(74,1),(90,1),(92,1),(103,1)}
        79:{1,2,5,7}:{(62,1),(63,1),(90,1),(91,1)}
        80:{2,3,5,6}:{(63,1),(67,1),(77,1),(91,1),(97,1)}
        81:{1,3,5,7}:{(64,1),(65,1),(66,1),(92,1)}
        82:{1,2,4,6}:{(66,1),(67,1),(91,1),(92,1),(103,1)}
        83:{2,3,4,6,7}:{(68,1),(70,1),(74,1),(93,1),(95,1),(104,1)}
        84:{1,2,5,7}:{(68,1),(69,1),(93,1),(94,1)}
        85:{1,3,5,6}:{(69,1),(73,1),(76,1),(94,1),(97,1)}
        86:{2,3,5,7}:{(70,1),(71,1),(72,1),(95,1)}
        87:{1,2,4,6}:{(72,1),(73,1),(94,1),(95,1),(104,1)}
        88:{3,5,7}:{(74,1),(75,1),(97,1)}
        89:{1,2,4,5,6}:{(75,1),(76,1),(77,1),(91,1),(94,1),(97,1),(103,1),(104,1)}
        90:{1,3,5,7}:{(78,1),(79,1),(88,1),(98,1),(99,1)}
        91:{1,2,5,6}:{(79,1),(80,1),(82,1),(99,1)}
        92:{1,3,6}:{(81,1),(82,1)}
        93:{2,3,5,7}:{(83,1),(84,1),(88,1),(100,1),(101,1)}
        94:{1,2,5,6}:{(84,1),(85,1),(87,1),(101,1)}
        95:{2,3,6}:{(86,1),(87,1)}
        96:{3,4,5,7}:{(88,1),(98,1),(100,1),(102,1)}
        97:{3,5,6}:{(88,1),(89,1),(102,1)}
        98:{1,4,5,7}:{(90,1),(96,1),(103,1)}
        99:{1,3,5,6}:{(90,1),(91,1),(92,1),(97,1),(103,1)}
       100:{2,4,5,7}:{(93,1),(96,1),(104,1)}
       101:{2,3,5,6}:{(93,1),(94,1),(95,1),(97,1),(104,1)}
       102:{3,4,6}:{(96,1),(97,1),(103,1),(104,1)}
       103:{1,4,6}:{(98,1),(99,1),(102,1)}
       104:{2,4,6}:{(100,1),(101,1),(102,1)}

2305 :  0:{2,3,4,5,6}:{(2,1),(3,1),(35,1)}
        1:{1,3,4,5,6}:{(2,1),(4,1),(35,1)}
        2:{1,2,4,5,6}:{(0,1),(1,1),(6,1),(7,1)}
        3:{2,3,4,5,7}:{(0,1),(7,1),(8,1),(39,1)}
        4:{1,3,4,5,7}:{(1,1),(7,1),(9,1),(39,1)}
        5:{1,2,3,4,5}:{(10,1)}
        6:{1,2,3,5,6}:{(2,1),(10,1),(12,1)}
        7:{1,2,4,5,7}:{(2,1),(3,1),(4,1),(12,1),(13,1)}
        8:{2,3,4,6,7}:{(3,1),(13,1),(14,1),(36,1)}
        9:{1,3,4,6,7}:{(4,1),(13,1),(15,1),(36,1)}
       10:{1,2,3,4,6}:{(5,1),(6,1),(16,1)}
       11:{1,2,3,4,5,7}:{(5,1),(16,1),(17,1),(28,1),(54,1),(55,1)}
       12:{1,2,3,5,7}:{(6,1),(7,1),(16,1),(18,1)}
       13:{1,2,4,6,7}:{(7,1),(8,1),(9,1),(18,1),(19,1)}
       14:{2,3,5,6,7}:{(8,1),(19,1),(20,1),(31,1)}
       15:{1,3,5,6,7}:{(9,1),(19,1),(21,1),(31,1)}
       16:{1,2,3,4,7}:{(10,1),(12,1)}
       17:{1,2,3,4,6}:{(11,1),(23,1)}
       18:{1,2,3,6,7}:{(12,1),(13,1)}
       19:{1,2,5,6,7}:{(13,1),(14,1),(15,1)}
       20:{2,4,5,6,7}:{(14,1),(26,1)}
       21:{1,4,5,6,7}:{(15,1),(27,1)}
       22:{1,2,3,4,6,7}:{(16,1),(17,1),(18,1),(28,1),(30,1),(51,1),(54,1)}
       23:{1,2,3,5,6}:{(17,1),(28,1),(29,1)}
       24:{1,2,3,5,6,7}:{(18,1),(19,1),(28,1),(30,1),(31,1),(44,1),(51,1)}
       25:{1,2,4,5,6,7}:{(19,1),(20,1),(21,1),(30,1),(31,1),(32,1),(33,1),(44,1)}
       26:{3,4,5,6,7}:{(20,1),(31,1),(32,1)}
       27:{3,4,5,6,7}:{(21,1),(31,1),(33,1)}
       28:{1,2,3,5,7}:{(22,1),(23,1),(34,1)}
       29:{1,2,4,5,6}:{(23,1),(34,1),(35,1)}
       30:{1,2,4,6,7}:{(24,1),(34,1),(36,1)}
       31:{3,5,6,7}:{(25,1),(36,1)}
       32:{1,4,5,6,7}:{(26,1),(37,1)}
       33:{2,4,5,6,7}:{(27,1),(38,1)}
       34:{1,2,4,5,7}:{(28,1),(29,1),(30,1),(39,1)}
       35:{3,4,5,6}:{(29,1),(39,1)}
       36:{3,4,6,7}:{(30,1),(31,1),(39,1)}
       37:{1,3,5,6,7}:{(31,1),(32,1),(42,1),(44,1)}
       38:{2,3,5,6,7}:{(31,1),(33,1),(43,1),(44,1)}
       39:{3,4,5,7}:{(34,1),(35,1),(36,1)}
       40:{1,3,4,5,6}:{(35,1),(45,1),(47,1)}
       41:{2,3,4,5,6}:{(35,1),(46,1),(47,1)}
       42:{1,3,4,6,7}:{(36,1),(37,1),(45,1),(48,1)}
       43:{2,3,4,6,7}:{(36,1),(38,1),(46,1),(48,1)}
       44:{1,2,5,6,7}:{(37,1),(38,1),(48,1)}
       45:{1,3,4,5,7}:{(39,1),(40,1),(42,1),(49,1)}
       46:{2,3,4,5,7}:{(39,1),(41,1),(43,1),(49,1)}
       47:{1,2,4,5,6}:{(40,1),(41,1),(49,1),(50,1)}
       48:{1,2,4,6,7}:{(42,1),(43,1),(44,1),(49,1),(51,1)}
       49:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(48,1),(52,1)}
       50:{1,2,3,5,6}:{(47,1),(52,1),(53,1)}
       51:{1,2,3,6,7}:{(48,1),(52,1)}
       52:{1,2,3,5,7}:{(49,1),(50,1),(51,1),(54,1)}
       53:{1,2,3,4,6}:{(50,1),(54,1),(55,1)}
       54:{1,2,3,4,7}:{(52,1),(53,1)}
       55:{1,2,3,4,5}:{(53,1)}

2306 :  0:{2,3,4,5,7}:{(3,1),(4,1),(22,1),(44,1),(71,1)}
        1:{1,3,4,5,7}:{(3,1),(5,1),(24,1),(44,1),(71,1)}
        2:{1,2,3,4,7}:{(6,1),(7,1),(59,1),(83,1)}
        3:{1,2,4,5,7}:{(0,1),(1,1),(7,1),(8,1),(30,1),(34,1),(59,1)}
        4:{2,3,4,6}:{(0,1),(8,1),(9,1),(58,1)}
        5:{1,3,4,6}:{(1,1),(8,1),(11,1),(58,1)}
        6:{1,2,3,4,6}:{(2,1),(17,1),(18,1),(45,1),(67,1),(81,1)}
        7:{1,2,3,5,7}:{(2,1),(3,1),(17,1),(18,1)}
        8:{1,2,4,6}:{(3,1),(4,1),(5,1),(18,1),(19,1)}
        9:{2,3,5,6}:{(4,1),(19,1),(21,1),(22,1),(47,1)}
       10:{2,3,4,6,7}:{(4,1),(20,1),(22,1),(26,1),(53,1),(71,1)}
       11:{1,3,5,6}:{(5,1),(19,1),(23,1),(24,1),(47,1)}
       12:{1,3,4,6,7}:{(5,1),(20,1),(24,1),(27,1),(53,1),(71,1)}
       13:{2,3,5,6,7}:{(22,1),(25,1),(26,1),(29,1),(53,1)}
       14:{1,3,5,6,7}:{(24,1),(25,1),(27,1),(28,1),(53,1)}
       15:{1,4,5,6,7}:{(27,1),(28,1)}
       16:{2,4,5,6,7}:{(26,1),(29,1)}
       17:{1,2,3,5}:{(6,1),(30,1)}
       18:{1,2,3,6}:{(7,1),(8,1)}
       19:{1,2,5,6}:{(8,1),(9,1),(11,1),(34,1)}
       20:{1,2,4,6,7}:{(8,1),(10,1),(12,1),(32,1),(34,1),(59,1)}
       21:{2,4,5,6}:{(9,1),(35,1),(36,1)}
       22:{2,3,5,7}:{(9,1),(10,1),(34,1),(36,1),(62,1)}
       23:{1,4,5,6}:{(11,1),(37,1),(38,1)}
       24:{1,3,5,7}:{(11,1),(12,1),(34,1),(38,1),(62,1)}
       25:{1,2,5,6,7}:{(13,1),(14,1),(34,1),(39,1),(42,1),(43,1)}
       26:{2,4,6,7}:{(13,1),(36,1),(40,1)}
       27:{1,4,6,7}:{(14,1),(38,1),(41,1)}
       28:{3,5,6,7}:{(15,1),(41,1),(42,1)}
       29:{3,5,6,7}:{(16,1),(40,1),(43,1)}
       30:{1,2,4,5}:{(17,1),(44,1),(45,1)}
       31:{1,2,3,5,6}:{(17,1),(18,1),(19,1),(45,1),(46,1),(47,1),(72,1),(81,1)}
       32:{1,2,3,6,7}:{(18,1),(20,1),(46,1),(53,1),(75,1)}
       33:{1,2,4,5,6}:{(19,1),(21,1),(23,1),(45,1),(47,1),(48,1),(49,1),(51,1),(72,1)}
       34:{1,2,5,7}:{(19,1),(20,1),(22,1),(24,1)}
       35:{3,4,5,6}:{(21,1),(47,1),(49,1),(50,1)}
       36:{2,4,5,7}:{(21,1),(22,1),(26,1),(50,1)}
       37:{3,4,5,6}:{(23,1),(47,1),(51,1),(52,1)}
       38:{1,4,5,7}:{(23,1),(24,1),(27,1),(52,1)}
       39:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(48,1),(53,1),(54,1),(55,1),(75,1)}
       40:{3,4,6,7}:{(26,1),(29,1),(50,1),(53,1),(54,1)}
       41:{3,4,6,7}:{(27,1),(28,1),(52,1),(53,1),(55,1)}
       42:{2,5,6,7}:{(28,1),(55,1)}
       43:{1,5,6,7}:{(29,1),(54,1)}
       44:{3,4,5}:{(30,1),(58,1)}
       45:{1,2,4,6}:{(30,1),(31,1),(58,1),(59,1)}
       46:{1,2,3,5,7}:{(31,1),(32,1),(34,1),(59,1),(62,1),(80,1),(83,1)}
       47:{3,5,6}:{(33,1),(58,1),(62,1)}
       48:{1,2,4,5,7}:{(33,1),(34,1),(36,1),(38,1),(39,1),(59,1),(62,1),(63,1),(64,1),(80,1)}
       49:{1,4,5,6}:{(35,1),(61,1),(63,1)}
       50:{3,4,5,7}:{(35,1),(36,1),(40,1),(62,1),(63,1)}
       51:{2,4,5,6}:{(37,1),(60,1),(64,1)}
       52:{3,4,5,7}:{(37,1),(38,1),(41,1),(62,1),(64,1)}
       53:{3,6,7}:{(39,1),(62,1)}
       54:{1,4,6,7}:{(40,1),(43,1),(63,1),(66,1)}
       55:{2,4,6,7}:{(41,1),(42,1),(64,1),(65,1)}
       56:{2,3,4,5}:{(44,1),(68,1),(69,1)}
       57:{1,3,4,5}:{(44,1),(68,1),(70,1)}
       58:{3,4,6}:{(44,1),(45,1),(47,1),(71,1)}
       59:{1,2,4,7}:{(45,1),(46,1),(71,1)}
       60:{2,3,5,6}:{(47,1),(51,1),(69,1),(72,1),(73,1)}
       61:{1,3,5,6}:{(47,1),(49,1),(70,1),(72,1),(74,1)}
       62:{3,5,7}:{(47,1),(48,1),(53,1),(71,1)}
       63:{1,4,5,7}:{(49,1),(50,1),(54,1),(74,1)}
       64:{2,4,5,7}:{(51,1),(52,1),(55,1),(73,1)}
       65:{2,3,6,7}:{(53,1),(55,1),(73,1),(75,1)}
       66:{1,3,6,7}:{(53,1),(54,1),(74,1),(75,1)}
       67:{1,2,3,4}:{(76,1)}
       68:{1,2,4,5}:{(56,1),(57,1),(76,1),(77,1)}
       69:{2,3,4,6}:{(56,1),(58,1),(60,1),(77,1),(78,1)}
       70:{1,3,4,6}:{(57,1),(58,1),(61,1),(77,1),(79,1)}
       71:{3,4,7}:{(58,1),(59,1),(62,1)}
       72:{1,2,5,6}:{(60,1),(61,1),(77,1),(80,1)}
       73:{2,3,5,7}:{(60,1),(62,1),(64,1),(65,1),(78,1),(80,1)}
       74:{1,3,5,7}:{(61,1),(62,1),(63,1),(66,1),(79,1),(80,1)}
       75:{1,2,6,7}:{(65,1),(66,1),(80,1)}
       76:{1,2,3,5}:{(67,1),(68,1),(81,1)}
       77:{1,2,4,6}:{(68,1),(69,1),(70,1),(72,1),(81,1),(82,1)}
       78:{2,3,4,7}:{(69,1),(71,1),(73,1),(82,1)}
       79:{1,3,4,7}:{(70,1),(71,1),(74,1),(82,1)}
       80:{1,2,5,7}:{(72,1),(73,1),(74,1),(75,1),(82,1)}
       81:{1,2,3,6}:{(76,1),(77,1),(83,1)}
       82:{1,2,4,7}:{(77,1),(78,1),(79,1),(80,1),(83,1)}
       83:{1,2,3,7}:{(81,1),(82,1)}

2307 :  0:{1,2,3,4,5}:{(1,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1),(4,1)}
        2:{1,2,3,4,5,7}:{(0,1),(4,1),(5,1),(16,1),(54,1),(55,1)}
        3:{1,2,3,5,6}:{(1,1),(8,1),(9,1)}
        4:{1,2,3,4,7}:{(1,1),(9,1)}
        5:{1,2,3,4,6}:{(2,1),(11,1)}
        6:{2,3,4,5,6}:{(8,1),(12,1),(23,1)}
        7:{1,3,4,5,6}:{(8,1),(13,1),(23,1)}
        8:{1,2,4,5,6}:{(3,1),(6,1),(7,1),(14,1)}
        9:{1,2,3,5,7}:{(3,1),(4,1),(14,1),(15,1)}
       10:{1,2,3,4,6,7}:{(4,1),(5,1),(15,1),(16,1),(27,1),(53,1),(54,1)}
       11:{1,2,3,5,6}:{(5,1),(16,1),(17,1)}
       12:{2,3,4,5,7}:{(6,1),(14,1),(18,1),(28,1)}
       13:{1,3,4,5,7}:{(7,1),(14,1),(19,1),(28,1)}
       14:{1,2,4,5,7}:{(8,1),(9,1),(12,1),(13,1),(20,1)}
       15:{1,2,3,6,7}:{(9,1),(20,1)}
       16:{1,2,3,5,7}:{(10,1),(11,1),(22,1)}
       17:{1,2,4,5,6}:{(11,1),(22,1),(23,1)}
       18:{2,3,4,6,7}:{(12,1),(20,1),(24,1),(34,1)}
       19:{1,3,4,6,7}:{(13,1),(20,1),(25,1),(34,1)}
       20:{1,2,4,6,7}:{(14,1),(15,1),(18,1),(19,1),(26,1)}
       21:{1,2,3,5,6,7}:{(15,1),(16,1),(26,1),(27,1),(40,1),(52,1),(53,1)}
       22:{1,2,4,5,7}:{(16,1),(17,1),(27,1),(28,1)}
       23:{3,4,5,6}:{(17,1),(28,1)}
       24:{2,3,5,6,7}:{(18,1),(26,1),(31,1),(40,1)}
       25:{1,3,5,6,7}:{(19,1),(26,1),(32,1),(40,1)}
       26:{1,2,5,6,7}:{(20,1),(24,1),(25,1)}
       27:{1,2,4,6,7}:{(21,1),(22,1),(34,1)}
       28:{3,4,5,7}:{(22,1),(23,1),(34,1)}
       29:{1,3,4,5,6}:{(23,1),(35,1),(37,1)}
       30:{2,3,4,5,6}:{(23,1),(36,1),(37,1)}
       31:{2,4,5,6,7}:{(24,1),(38,1)}
       32:{1,4,5,6,7}:{(25,1),(39,1)}
       33:{1,2,4,5,6,7}:{(26,1),(27,1),(31,1),(32,1),(40,1),(45,1),(46,1),(52,1)}
       34:{3,4,6,7}:{(27,1),(28,1),(40,1)}
       35:{1,3,4,5,7}:{(28,1),(29,1),(41,1),(43,1)}
       36:{2,3,4,5,7}:{(28,1),(30,1),(42,1),(43,1)}
       37:{1,2,4,5,6}:{(29,1),(30,1),(43,1),(44,1)}
       38:{3,4,5,6,7}:{(31,1),(40,1),(45,1)}
       39:{3,4,5,6,7}:{(32,1),(40,1),(46,1)}
       40:{3,5,6,7}:{(33,1),(34,1)}
       41:{1,3,4,6,7}:{(34,1),(35,1),(47,1),(49,1)}
       42:{2,3,4,6,7}:{(34,1),(36,1),(48,1),(49,1)}
       43:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(49,1),(50,1)}
       44:{1,2,3,5,6}:{(37,1),(50,1),(51,1)}
       45:{1,4,5,6,7}:{(38,1),(47,1)}
       46:{2,4,5,6,7}:{(39,1),(48,1)}
       47:{1,3,5,6,7}:{(40,1),(41,1),(45,1),(52,1)}
       48:{2,3,5,6,7}:{(40,1),(42,1),(46,1),(52,1)}
       49:{1,2,4,6,7}:{(41,1),(42,1),(43,1),(52,1),(53,1)}
       50:{1,2,3,5,7}:{(43,1),(44,1),(53,1),(54,1)}
       51:{1,2,3,4,6}:{(44,1),(54,1),(55,1)}
       52:{1,2,5,6,7}:{(47,1),(48,1),(49,1)}
       53:{1,2,3,6,7}:{(49,1),(50,1)}
       54:{1,2,3,4,7}:{(50,1),(51,1)}
       55:{1,2,3,4,5}:{(51,1)}

2308 :  0:{1,2,3,4,7}:{(1,1),(2,1),(33,1),(60,1)}
        1:{1,2,3,4,6}:{(0,1),(5,1),(7,1),(18,1),(20,1),(44,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(7,1)}
        3:{1,3,4,5,7}:{(6,1),(8,1),(19,1),(25,1),(48,1)}
        4:{2,3,4,5,7}:{(6,1),(9,1),(19,1),(27,1),(48,1)}
        5:{1,2,3,5}:{(1,1),(10,1)}
        6:{1,2,4,5,7}:{(2,1),(3,1),(4,1),(10,1),(12,1),(33,1),(34,1)}
        7:{1,2,3,6}:{(2,1),(12,1)}
        8:{1,3,4,6}:{(3,1),(12,1),(14,1),(31,1)}
        9:{2,3,4,6}:{(4,1),(12,1),(16,1),(31,1)}
       10:{1,2,4,5}:{(5,1),(19,1),(20,1)}
       11:{1,2,3,5,6}:{(5,1),(7,1),(20,1),(21,1),(22,1),(44,1),(47,1),(73,1)}
       12:{1,2,4,6}:{(6,1),(7,1),(8,1),(9,1),(22,1)}
       13:{1,2,3,6,7}:{(7,1),(21,1),(23,1),(77,1),(83,1)}
       14:{1,3,5,6}:{(8,1),(22,1),(24,1),(25,1),(47,1)}
       15:{1,3,4,6,7}:{(8,1),(23,1),(25,1),(48,1),(53,1),(77,1)}
       16:{2,3,5,6}:{(9,1),(22,1),(26,1),(27,1),(47,1)}
       17:{2,3,4,6,7}:{(9,1),(23,1),(27,1),(48,1),(56,1),(77,1)}
       18:{1,2,3,4}:{(28,1)}
       19:{3,4,5}:{(10,1),(31,1)}
       20:{1,2,4,6}:{(10,1),(11,1),(31,1),(33,1)}
       21:{1,2,3,5,7}:{(11,1),(13,1),(33,1),(34,1),(60,1),(65,1),(80,1)}
       22:{1,2,5,6}:{(12,1),(14,1),(16,1),(34,1)}
       23:{1,2,4,6,7}:{(12,1),(13,1),(15,1),(17,1),(33,1),(34,1)}
       24:{1,4,5,6}:{(14,1),(35,1),(36,1)}
       25:{1,3,5,7}:{(14,1),(15,1),(34,1),(36,1),(65,1)}
       26:{2,4,5,6}:{(16,1),(38,1),(39,1)}
       27:{2,3,5,7}:{(16,1),(17,1),(34,1),(39,1),(65,1)}
       28:{1,2,3,5}:{(18,1),(43,1),(44,1)}
       29:{1,3,4,5}:{(19,1),(43,1),(45,1)}
       30:{2,3,4,5}:{(19,1),(43,1),(46,1)}
       31:{3,4,6}:{(19,1),(20,1),(47,1),(48,1)}
       32:{1,2,4,5,6}:{(20,1),(22,1),(24,1),(26,1),(47,1),(49,1),(51,1),(54,1),(73,1)}
       33:{1,2,4,7}:{(20,1),(21,1),(48,1)}
       34:{1,2,5,7}:{(22,1),(23,1),(25,1),(27,1)}
       35:{3,4,5,6}:{(24,1),(47,1),(51,1),(52,1)}
       36:{1,4,5,7}:{(24,1),(25,1),(52,1),(53,1)}
       37:{1,3,5,6,7}:{(25,1),(50,1),(53,1),(58,1),(77,1)}
       38:{3,4,5,6}:{(26,1),(47,1),(54,1),(55,1)}
       39:{2,4,5,7}:{(26,1),(27,1),(55,1),(56,1)}
       40:{2,3,5,6,7}:{(27,1),(50,1),(56,1),(57,1),(77,1)}
       41:{2,4,5,6,7}:{(56,1),(57,1)}
       42:{1,4,5,6,7}:{(53,1),(58,1)}
       43:{1,2,4,5}:{(28,1),(29,1),(30,1),(59,1)}
       44:{1,2,3,6}:{(28,1),(59,1),(60,1)}
       45:{1,3,4,6}:{(29,1),(31,1),(59,1),(61,1),(62,1)}
       46:{2,3,4,6}:{(30,1),(31,1),(59,1),(63,1),(64,1)}
       47:{3,5,6}:{(31,1),(32,1),(65,1)}
       48:{3,4,7}:{(31,1),(33,1),(65,1)}
       49:{1,2,4,5,7}:{(32,1),(33,1),(34,1),(36,1),(39,1),(65,1),(66,1),(67,1),(69,1),(80,1)}
       50:{1,2,5,6,7}:{(34,1),(37,1),(40,1),(66,1),(71,1),(72,1)}
       51:{2,4,5,6}:{(35,1),(63,1),(67,1)}
       52:{3,4,5,7}:{(35,1),(36,1),(65,1),(67,1),(68,1)}
       53:{1,4,6,7}:{(36,1),(37,1),(68,1)}
       54:{1,4,5,6}:{(38,1),(61,1),(69,1)}
       55:{3,4,5,7}:{(38,1),(39,1),(65,1),(69,1),(70,1)}
       56:{2,4,6,7}:{(39,1),(40,1),(70,1)}
       57:{3,5,6,7}:{(41,1),(70,1),(71,1)}
       58:{3,5,6,7}:{(42,1),(68,1),(72,1)}
       59:{1,2,4,6}:{(43,1),(44,1),(45,1),(46,1),(73,1),(74,1)}
       60:{1,2,3,7}:{(44,1),(74,1)}
       61:{1,3,5,6}:{(45,1),(47,1),(54,1),(73,1),(75,1)}
       62:{1,3,4,7}:{(45,1),(48,1),(74,1),(75,1)}
       63:{2,3,5,6}:{(46,1),(47,1),(51,1),(73,1),(76,1)}
       64:{2,3,4,7}:{(46,1),(48,1),(74,1),(76,1)}
       65:{3,5,7}:{(47,1),(48,1),(49,1),(77,1)}
       66:{1,2,4,6,7}:{(49,1),(50,1),(53,1),(56,1),(77,1),(78,1),(79,1),(83,1)}
       67:{2,4,5,7}:{(51,1),(52,1),(76,1),(78,1)}
       68:{3,4,6,7}:{(52,1),(53,1),(58,1),(77,1),(78,1)}
       69:{1,4,5,7}:{(54,1),(55,1),(75,1),(79,1)}
       70:{3,4,6,7}:{(55,1),(56,1),(57,1),(77,1),(79,1)}
       71:{1,5,6,7}:{(57,1),(79,1)}
       72:{2,5,6,7}:{(58,1),(78,1)}
       73:{1,2,5,6}:{(59,1),(61,1),(63,1),(80,1)}
       74:{1,2,4,7}:{(59,1),(60,1),(62,1),(64,1),(80,1)}
       75:{1,3,5,7}:{(61,1),(62,1),(65,1),(69,1),(80,1),(81,1)}
       76:{2,3,5,7}:{(63,1),(64,1),(65,1),(67,1),(80,1),(82,1)}
       77:{3,6,7}:{(65,1),(66,1)}
       78:{2,4,6,7}:{(67,1),(68,1),(72,1),(82,1)}
       79:{1,4,6,7}:{(69,1),(70,1),(71,1),(81,1)}
       80:{1,2,5,7}:{(73,1),(74,1),(75,1),(76,1),(83,1)}
       81:{1,3,6,7}:{(75,1),(77,1),(79,1),(83,1)}
       82:{2,3,6,7}:{(76,1),(77,1),(78,1),(83,1)}
       83:{1,2,6,7}:{(80,1),(81,1),(82,1)}

2309 :   0:{1,3,4,5,6}:{(3,1),(4,1),(31,1),(70,1),(113,1)}
         1:{2,3,4,5,6}:{(5,1),(6,1),(25,1),(65,1),(117,1)}
         2:{1,2,3,4,6}:{(7,1),(8,1),(35,1),(36,1)}
         3:{1,2,4,5,6}:{(0,1),(11,1),(12,1),(36,1),(78,1),(89,1)}
         4:{1,3,4,5,7}:{(0,1),(9,1),(12,1),(51,1),(96,1),(135,1)}
         5:{1,2,4,5,6}:{(1,1),(15,1),(16,1),(36,1),(78,1),(94,1)}
         6:{2,3,4,5,7}:{(1,1),(13,1),(16,1),(45,1),(91,1),(138,1)}
         7:{1,2,3,4,7}:{(2,1),(18,1),(56,1)}
         8:{1,2,3,5}:{(2,1),(19,1)}
         9:{1,3,4,6,7}:{(4,1),(22,1),(24,1),(114,1)}
        10:{2,3,4,5}:{(19,1),(25,1)}
        11:{2,3,5,6}:{(3,1),(25,1),(26,1)}
        12:{1,2,4,5,7}:{(3,1),(4,1),(24,1),(26,1),(56,1),(105,1),(115,1)}
        13:{2,3,4,6,7}:{(6,1),(28,1),(30,1),(118,1)}
        14:{1,3,4,5}:{(19,1),(31,1)}
        15:{1,3,5,6}:{(5,1),(31,1),(32,1)}
        16:{1,2,4,5,7}:{(5,1),(6,1),(30,1),(32,1),(56,1),(105,1),(119,1)}
        17:{1,2,3,4,6,7}:{(7,1),(33,1),(35,1),(72,1),(76,1),(79,1),(121,1),(127,1),(150,1)}
        18:{1,2,3,5,7}:{(7,1),(8,1),(34,1),(35,1)}
        19:{1,2,4,5}:{(8,1),(10,1),(14,1),(36,1)}
        20:{1,2,3,5,6}:{(8,1),(11,1),(15,1),(35,1),(36,1),(37,1),(78,1)}
        21:{3,4,5,6,7}:{(40,1),(41,1),(88,1),(138,1)}
        22:{1,3,5,6,7}:{(9,1),(41,1),(42,1),(88,1),(96,1)}
        23:{2,3,4,5,7}:{(10,1),(34,1),(43,1),(45,1),(75,1),(91,1)}
        24:{1,2,4,6,7}:{(9,1),(12,1),(42,1),(44,1),(90,1)}
        25:{2,3,4,6}:{(10,1),(11,1),(36,1),(45,1)}
        26:{2,3,5,7}:{(11,1),(12,1),(44,1),(45,1)}
        27:{3,4,5,6,7}:{(46,1),(47,1),(93,1),(135,1)}
        28:{2,3,5,6,7}:{(13,1),(46,1),(48,1),(91,1),(93,1)}
        29:{1,3,4,5,7}:{(14,1),(34,1),(49,1),(51,1),(75,1),(96,1)}
        30:{1,2,4,6,7}:{(13,1),(16,1),(48,1),(50,1),(95,1)}
        31:{1,3,4,6}:{(14,1),(15,1),(36,1),(51,1)}
        32:{1,3,5,7}:{(15,1),(16,1),(50,1),(51,1)}
        33:{1,2,3,5,7}:{(17,1),(52,1),(53,1),(105,1),(145,1),(153,1)}
        34:{1,2,4,5,7}:{(18,1),(19,1),(23,1),(29,1),(54,1),(56,1),(105,1)}
        35:{1,2,3,6}:{(18,1),(54,1)}
        36:{1,2,4,6}:{(19,1),(20,1),(25,1),(31,1),(56,1)}
        37:{1,2,3,5,7}:{(20,1),(26,1),(32,1),(55,1),(56,1),(105,1)}
        38:{2,3,4,5,6}:{(58,1),(59,1),(110,1),(113,1),(143,1)}
        39:{1,3,4,5,6}:{(60,1),(61,1),(108,1),(117,1),(141,1)}
        40:{2,4,5,6,7}:{(21,1),(62,1),(148,1)}
        41:{1,4,5,6,7}:{(21,1),(22,1),(119,1)}
        42:{1,2,5,6,7}:{(22,1),(24,1),(64,1),(105,1)}
        43:{2,3,4,6}:{(23,1),(54,1),(65,1),(102,1)}
        44:{2,3,6,7}:{(24,1),(26,1)}
        45:{2,3,4,7}:{(25,1),(26,1),(56,1)}
        46:{2,4,5,6,7}:{(27,1),(28,1),(115,1)}
        47:{1,4,5,6,7}:{(27,1),(67,1),(147,1)}
        48:{1,2,5,6,7}:{(28,1),(30,1),(69,1),(105,1)}
        49:{1,3,4,6}:{(29,1),(54,1),(70,1),(102,1)}
        50:{1,3,6,7}:{(30,1),(32,1)}
        51:{1,3,4,7}:{(31,1),(32,1),(56,1)}
        52:{1,2,4,5,7}:{(33,1),(75,1),(76,1)}
        53:{1,2,3,5,6}:{(33,1),(35,1),(76,1),(78,1),(121,1),(126,1),(149,1)}
        54:{1,2,4,6}:{(34,1),(35,1),(43,1),(49,1),(78,1)}
        55:{1,2,3,6,7}:{(35,1),(37,1),(44,1),(50,1),(79,1)}
        56:{1,2,4,7}:{(36,1),(37,1),(45,1),(51,1)}
        57:{1,2,3,4,6}:{(72,1),(80,1),(121,1),(129,1)}
        58:{1,2,4,5,6}:{(38,1),(82,1),(83,1),(129,1),(133,1),(149,1)}
        59:{2,3,4,5,7}:{(38,1),(73,1),(83,1),(132,1),(135,1),(152,1)}
        60:{1,2,4,5,6}:{(39,1),(85,1),(86,1),(129,1),(136,1),(149,1)}
        61:{1,3,4,5,7}:{(39,1),(74,1),(86,1),(131,1),(138,1),(151,1)}
        62:{2,3,5,6,7}:{(40,1),(73,1),(87,1),(88,1),(152,1)}
        63:{1,2,4,5,6,7}:{(40,1),(41,1),(42,1),(87,1),(88,1),(90,1),(128,1),(134,1)}
        64:{2,3,5,6,7}:{(42,1),(44,1),(88,1),(90,1),(91,1)}
        65:{2,3,5,6}:{(43,1),(78,1),(89,1),(91,1),(126,1)}
        66:{2,3,4,6,7}:{(43,1),(44,1),(45,1),(79,1),(90,1),(91,1),(127,1)}
        67:{1,3,5,6,7}:{(47,1),(74,1),(92,1),(93,1),(151,1)}
        68:{1,2,4,5,6,7}:{(46,1),(47,1),(48,1),(92,1),(93,1),(95,1),(128,1),(137,1)}
        69:{1,3,5,6,7}:{(48,1),(50,1),(93,1),(95,1),(96,1)}
        70:{1,3,5,6}:{(49,1),(78,1),(94,1),(96,1),(126,1)}
        71:{1,3,4,6,7}:{(49,1),(50,1),(51,1),(79,1),(95,1),(96,1),(127,1)}
        72:{1,2,3,4,7}:{(57,1),(97,1),(146,1)}
        73:{2,3,4,6,7}:{(59,1),(62,1),(99,1),(114,1)}
        74:{1,3,4,6,7}:{(61,1),(67,1),(101,1),(118,1)}
        75:{3,4,5,7}:{(52,1),(102,1),(145,1)}
        76:{1,2,4,6}:{(52,1),(53,1),(102,1)}
        77:{1,2,3,5,6,7}:{(53,1),(55,1),(64,1),(69,1),(104,1),(105,1),(112,1),(116,1),(140,1),(145,1),(153,1)}
        78:{1,2,5,6}:{(54,1),(65,1),(70,1),(105,1)}
        79:{1,2,4,6,7}:{(54,1),(55,1),(56,1),(66,1),(71,1),(105,1)}
        80:{1,2,3,5}:{(57,1),(106,1)}
        81:{1,3,4,5}:{(106,1),(108,1)}
        82:{1,3,5,6}:{(58,1),(108,1),(109,1)}
        83:{1,2,4,5,7}:{(58,1),(59,1),(99,1),(109,1),(146,1),(147,1),(153,1)}
        84:{2,3,4,5}:{(106,1),(110,1)}
        85:{2,3,5,6}:{(60,1),(110,1),(111,1)}
        86:{1,2,4,5,7}:{(60,1),(61,1),(101,1),(111,1),(146,1),(148,1),(153,1)}
        87:{1,2,5,6,7}:{(62,1),(99,1),(112,1),(153,1)}
        88:{3,5,6,7}:{(63,1),(114,1),(145,1)}
        89:{2,4,5,6}:{(65,1),(113,1),(115,1)}
        90:{2,4,6,7}:{(64,1),(114,1),(115,1)}
        91:{2,3,5,7}:{(65,1),(66,1),(105,1),(115,1),(145,1)}
        92:{1,2,5,6,7}:{(67,1),(101,1),(116,1),(153,1)}
        93:{3,5,6,7}:{(68,1),(118,1),(145,1)}
        94:{1,4,5,6}:{(70,1),(117,1),(119,1)}
        95:{1,4,6,7}:{(69,1),(118,1),(119,1)}
        96:{1,3,5,7}:{(70,1),(71,1),(105,1),(119,1),(145,1)}
        97:{1,2,3,5,7}:{(72,1),(80,1),(120,1),(121,1)}
        98:{1,3,4,5,7}:{(75,1),(81,1),(120,1),(122,1),(131,1),(151,1)}
        99:{1,2,4,6,7}:{(73,1),(83,1),(87,1),(123,1),(134,1)}
       100:{2,3,4,5,7}:{(75,1),(84,1),(120,1),(124,1),(132,1),(152,1)}
       101:{1,2,4,6,7}:{(74,1),(86,1),(92,1),(125,1),(137,1)}
       102:{3,4,6}:{(75,1),(76,1),(126,1)}
       103:{1,2,4,5,6}:{(76,1),(78,1),(89,1),(94,1),(126,1),(128,1),(133,1),(136,1),(149,1)}
       104:{1,2,4,6,7}:{(76,1),(77,1),(90,1),(95,1),(127,1),(128,1),(134,1),(137,1)}
       105:{1,2,5,7}:{(78,1),(79,1),(91,1),(96,1)}
       106:{1,2,4,5}:{(80,1),(81,1),(84,1),(129,1)}
       107:{1,2,3,5,6}:{(80,1),(82,1),(85,1),(121,1),(129,1),(130,1),(149,1)}
       108:{1,3,4,6}:{(81,1),(82,1),(129,1),(131,1)}
       109:{1,3,5,7}:{(82,1),(83,1),(123,1),(131,1)}
       110:{2,3,4,6}:{(84,1),(85,1),(129,1),(132,1)}
       111:{2,3,5,7}:{(85,1),(86,1),(125,1),(132,1)}
       112:{1,3,5,6,7}:{(87,1),(88,1),(123,1),(134,1),(151,1)}
       113:{3,4,5,6}:{(89,1),(126,1),(133,1),(135,1)}
       114:{3,4,6,7}:{(88,1),(90,1),(134,1),(135,1)}
       115:{2,4,5,7}:{(89,1),(90,1),(91,1),(135,1)}
       116:{2,3,5,6,7}:{(92,1),(93,1),(125,1),(137,1),(152,1)}
       117:{3,4,5,6}:{(94,1),(126,1),(136,1),(138,1)}
       118:{3,4,6,7}:{(93,1),(95,1),(137,1),(138,1)}
       119:{1,4,5,7}:{(94,1),(95,1),(96,1),(138,1)}
       120:{1,2,4,5,7}:{(97,1),(98,1),(100,1),(106,1),(139,1),(146,1),(153,1)}
       121:{1,2,3,6}:{(97,1),(139,1)}
       122:{1,3,4,6}:{(98,1),(102,1),(139,1),(141,1)}
       123:{1,3,6,7}:{(99,1),(109,1)}
       124:{2,3,4,6}:{(100,1),(102,1),(139,1),(143,1)}
       125:{2,3,6,7}:{(101,1),(111,1)}
       126:{3,5,6}:{(102,1),(103,1),(145,1)}
       127:{3,4,6,7}:{(102,1),(104,1),(145,1)}
       128:{1,2,4,5,7}:{(103,1),(104,1),(105,1),(115,1),(119,1),(145,1),(147,1),(148,1),(153,1)}
       129:{1,2,4,6}:{(106,1),(107,1),(108,1),(110,1),(146,1)}
       130:{1,2,3,5,7}:{(107,1),(109,1),(111,1),(140,1),(146,1),(153,1)}
       131:{1,3,4,7}:{(108,1),(109,1),(146,1)}
       132:{2,3,4,7}:{(110,1),(111,1),(146,1)}
       133:{1,4,5,6}:{(113,1),(141,1),(147,1)}
       134:{1,4,6,7}:{(112,1),(114,1),(147,1)}
       135:{3,4,5,7}:{(113,1),(114,1),(115,1),(145,1),(147,1)}
       136:{2,4,5,6}:{(117,1),(143,1),(148,1)}
       137:{2,4,6,7}:{(116,1),(118,1),(148,1)}
       138:{3,4,5,7}:{(117,1),(118,1),(119,1),(145,1),(148,1)}
       139:{1,2,4,6}:{(120,1),(121,1),(122,1),(124,1),(149,1)}
       140:{1,2,3,6,7}:{(121,1),(123,1),(125,1),(130,1),(150,1)}
       141:{1,3,5,6}:{(122,1),(126,1),(133,1),(149,1),(151,1)}
       142:{1,3,4,6,7}:{(122,1),(123,1),(127,1),(131,1),(134,1),(150,1),(151,1)}
       143:{2,3,5,6}:{(124,1),(126,1),(136,1),(149,1),(152,1)}
       144:{2,3,4,6,7}:{(124,1),(125,1),(127,1),(132,1),(137,1),(150,1),(152,1)}
       145:{3,5,7}:{(126,1),(127,1),(128,1)}
       146:{1,2,4,7}:{(129,1),(130,1),(131,1),(132,1)}
       147:{1,4,5,7}:{(133,1),(134,1),(135,1),(151,1)}
       148:{2,4,5,7}:{(136,1),(137,1),(138,1),(152,1)}
       149:{1,2,5,6}:{(139,1),(141,1),(143,1),(153,1)}
       150:{1,2,4,6,7}:{(139,1),(140,1),(142,1),(144,1),(146,1),(153,1)}
       151:{1,3,5,7}:{(141,1),(142,1),(145,1),(147,1),(153,1)}
       152:{2,3,5,7}:{(143,1),(144,1),(145,1),(148,1),(153,1)}
       153:{1,2,5,7}:{(149,1),(150,1),(151,1),(152,1)}

2310 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{1,3,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{1,3,4,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,2,4,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{1,3,4,5,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,4,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,2,4,5,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{1,3,4,5,6}:{(6,1),(12,1),(27,1)}
       10:{1,2,3,4,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,3,5,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6}:{(8,1),(9,1),(16,1),(23,1)}
       13:{1,3,4,5,6,7}:{(9,1),(17,1),(32,1)}
       14:{1,2,3,5,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,5,7}:{(11,1),(18,1),(20,1)}
       16:{2,3,5,6}:{(11,1),(12,1),(20,1)}
       17:{1,2,4,5,6,7}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,2,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(14,1),(16,1),(23,1),(31,1)}
       20:{2,3,4,6}:{(15,1),(16,1),(23,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(26,1)}
       22:{1,3,4,5,7}:{(18,1),(27,1),(34,1)}
       23:{1,2,4,6}:{(18,1),(19,1),(20,1),(27,1)}
       24:{1,2,3,5,6,7}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,6}:{(20,1),(28,1),(30,1)}
       26:{2,3,4,6,7}:{(20,1),(21,1),(29,1),(30,1)}
       27:{1,3,4,6}:{(22,1),(23,1),(31,1)}
       28:{1,2,4,5,6}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,5,7}:{(25,1),(26,1),(33,1)}
       31:{1,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{1,3,4,6,7}:{(27,1),(29,1),(34,1)}
       33:{1,2,4,5,7}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,3,5,7}:{(31,1),(32,1),(33,1)}

2311 :   0:{1,3,4,5,6}:{(2,1),(3,1),(23,1),(102,1),(136,1)}
         1:{2,3,4,5,6}:{(4,1),(5,1),(18,1),(98,1),(138,1)}
         2:{1,3,4,5,7}:{(0,1),(6,1),(7,1),(40,1),(80,1),(119,1)}
         3:{1,2,4,5,6}:{(0,1),(7,1),(8,1),(27,1),(117,1),(120,1)}
         4:{2,3,4,5,7}:{(1,1),(9,1),(10,1),(34,1),(75,1),(122,1)}
         5:{1,2,4,5,6}:{(1,1),(10,1),(11,1),(27,1),(117,1),(123,1)}
         6:{1,3,4,6,7}:{(2,1),(15,1),(16,1),(96,1)}
         7:{1,2,4,5,7}:{(2,1),(3,1),(16,1),(17,1),(48,1),(93,1),(97,1)}
         8:{2,3,5,6}:{(3,1),(17,1),(18,1)}
         9:{2,3,4,6,7}:{(4,1),(20,1),(21,1),(100,1)}
        10:{1,2,4,5,7}:{(4,1),(5,1),(21,1),(22,1),(48,1),(93,1),(101,1)}
        11:{1,3,5,6}:{(5,1),(22,1),(23,1)}
        12:{1,2,3,5,6}:{(8,1),(11,1),(26,1),(27,1),(29,1),(71,1),(117,1)}
        13:{1,2,3,4,6}:{(27,1),(28,1),(29,1),(71,1)}
        14:{3,4,5,6,7}:{(30,1),(31,1),(73,1),(122,1)}
        15:{1,3,5,6,7}:{(6,1),(30,1),(32,1),(73,1),(80,1)}
        16:{1,2,4,6,7}:{(6,1),(7,1),(32,1),(33,1),(74,1)}
        17:{2,3,5,7}:{(7,1),(8,1),(33,1),(34,1)}
        18:{2,3,4,6}:{(8,1),(27,1),(34,1),(35,1)}
        19:{3,4,5,6,7}:{(36,1),(37,1),(78,1),(119,1)}
        20:{2,3,5,6,7}:{(9,1),(37,1),(38,1),(75,1),(78,1)}
        21:{1,2,4,6,7}:{(9,1),(10,1),(38,1),(39,1),(79,1)}
        22:{1,3,5,7}:{(10,1),(11,1),(39,1),(40,1)}
        23:{1,3,4,6}:{(11,1),(27,1),(40,1),(41,1)}
        24:{1,3,4,5,6}:{(42,1),(43,1),(89,1),(138,1),(152,1)}
        25:{2,3,4,5,6}:{(44,1),(45,1),(86,1),(136,1),(151,1)}
        26:{1,2,3,5,7}:{(12,1),(17,1),(22,1),(47,1),(48,1),(93,1)}
        27:{1,2,4,6}:{(12,1),(18,1),(23,1),(48,1),(49,1)}
        28:{1,2,3,4,7}:{(13,1),(48,1),(50,1)}
        29:{1,2,3,5}:{(13,1),(49,1)}
        30:{1,4,5,6,7}:{(14,1),(15,1),(101,1)}
        31:{2,4,5,6,7}:{(14,1),(51,1),(137,1)}
        32:{1,2,5,6,7}:{(15,1),(16,1),(53,1),(93,1)}
        33:{2,3,6,7}:{(16,1),(17,1)}
        34:{2,3,4,7}:{(17,1),(18,1),(48,1)}
        35:{2,3,4,5}:{(18,1),(49,1)}
        36:{1,4,5,6,7}:{(19,1),(56,1),(135,1)}
        37:{2,4,5,6,7}:{(19,1),(20,1),(97,1)}
        38:{1,2,5,6,7}:{(20,1),(21,1),(58,1),(93,1)}
        39:{1,3,6,7}:{(21,1),(22,1)}
        40:{1,3,4,7}:{(22,1),(23,1),(48,1)}
        41:{1,3,4,5}:{(23,1),(49,1)}
        42:{1,3,4,5,7}:{(24,1),(61,1),(62,1),(111,1),(122,1),(144,1)}
        43:{1,2,4,5,6}:{(24,1),(62,1),(63,1),(104,1),(148,1),(153,1)}
        44:{2,3,4,5,7}:{(25,1),(64,1),(65,1),(108,1),(119,1),(142,1)}
        45:{1,2,4,5,6}:{(25,1),(65,1),(66,1),(104,1),(147,1),(153,1)}
        46:{1,2,3,4,6,7}:{(28,1),(68,1),(69,1),(71,1),(105,1),(113,1),(116,1),(139,1),(141,1)}
        47:{1,2,3,6,7}:{(26,1),(33,1),(39,1),(69,1),(71,1)}
        48:{1,2,4,7}:{(26,1),(27,1),(34,1),(40,1)}
        49:{1,2,4,5}:{(27,1),(29,1),(35,1),(41,1)}
        50:{1,2,3,5,7}:{(28,1),(29,1),(70,1),(71,1)}
        51:{2,3,5,6,7}:{(31,1),(64,1),(72,1),(73,1),(142,1)}
        52:{1,2,4,5,6,7}:{(30,1),(31,1),(32,1),(72,1),(73,1),(74,1),(115,1),(118,1)}
        53:{2,3,5,6,7}:{(32,1),(33,1),(73,1),(74,1),(75,1)}
        54:{2,3,4,6,7}:{(33,1),(34,1),(69,1),(74,1),(75,1),(76,1),(113,1)}
        55:{2,3,4,5,7}:{(34,1),(35,1),(70,1),(75,1),(76,1),(114,1)}
        56:{1,3,5,6,7}:{(36,1),(61,1),(77,1),(78,1),(144,1)}
        57:{1,2,4,5,6,7}:{(36,1),(37,1),(38,1),(77,1),(78,1),(79,1),(115,1),(121,1)}
        58:{1,3,5,6,7}:{(38,1),(39,1),(78,1),(79,1),(80,1)}
        59:{1,3,4,6,7}:{(39,1),(40,1),(69,1),(79,1),(80,1),(81,1),(113,1)}
        60:{1,3,4,5,7}:{(40,1),(41,1),(70,1),(80,1),(81,1),(114,1)}
        61:{1,3,4,6,7}:{(42,1),(56,1),(84,1),(100,1)}
        62:{1,2,4,5,7}:{(42,1),(43,1),(84,1),(85,1),(125,1),(137,1),(149,1)}
        63:{2,3,5,6}:{(43,1),(85,1),(86,1)}
        64:{2,3,4,6,7}:{(44,1),(51,1),(87,1),(96,1)}
        65:{1,2,4,5,7}:{(44,1),(45,1),(87,1),(88,1),(125,1),(135,1),(149,1)}
        66:{1,3,5,6}:{(45,1),(88,1),(89,1)}
        67:{1,2,3,5,6,7}:{(47,1),(53,1),(58,1),(90,1),(92,1),(93,1),(95,1),(99,1),(124,1),(132,1),(149,1)}
        68:{1,2,3,5,7}:{(46,1),(91,1),(92,1),(93,1),(132,1),(149,1)}
        69:{1,2,4,6,7}:{(47,1),(48,1),(54,1),(59,1),(93,1),(94,1)}
        70:{1,2,4,5,7}:{(48,1),(49,1),(50,1),(55,1),(60,1),(93,1),(94,1)}
        71:{1,2,3,6}:{(50,1),(94,1)}
        72:{1,2,5,6,7}:{(51,1),(87,1),(95,1),(149,1)}
        73:{3,5,6,7}:{(52,1),(96,1),(132,1)}
        74:{2,4,6,7}:{(53,1),(96,1),(97,1)}
        75:{2,3,5,7}:{(54,1),(93,1),(97,1),(98,1),(132,1)}
        76:{2,3,4,6}:{(55,1),(94,1),(98,1),(133,1)}
        77:{1,2,5,6,7}:{(56,1),(84,1),(99,1),(149,1)}
        78:{3,5,6,7}:{(57,1),(100,1),(132,1)}
        79:{1,4,6,7}:{(58,1),(100,1),(101,1)}
        80:{1,3,5,7}:{(59,1),(93,1),(101,1),(102,1),(132,1)}
        81:{1,3,4,6}:{(60,1),(94,1),(102,1),(133,1)}
        82:{1,2,3,5,6}:{(63,1),(66,1),(103,1),(104,1),(106,1),(141,1),(153,1)}
        83:{1,2,3,4,6}:{(104,1),(105,1),(106,1),(141,1)}
        84:{1,2,4,6,7}:{(61,1),(62,1),(77,1),(107,1),(121,1)}
        85:{2,3,5,7}:{(62,1),(63,1),(107,1),(108,1)}
        86:{2,3,4,6}:{(63,1),(104,1),(108,1),(109,1)}
        87:{1,2,4,6,7}:{(64,1),(65,1),(72,1),(110,1),(118,1)}
        88:{1,3,5,7}:{(65,1),(66,1),(110,1),(111,1)}
        89:{1,3,4,6}:{(66,1),(104,1),(111,1),(112,1)}
        90:{1,2,4,6,7}:{(67,1),(74,1),(79,1),(113,1),(115,1),(116,1),(118,1),(121,1)}
        91:{1,2,4,5,7}:{(68,1),(114,1),(116,1)}
        92:{1,2,3,5,6}:{(68,1),(71,1),(116,1),(117,1),(141,1),(146,1),(153,1)}
        93:{1,2,5,7}:{(69,1),(75,1),(80,1),(117,1)}
        94:{1,2,4,6}:{(70,1),(71,1),(76,1),(81,1),(117,1)}
        95:{1,3,5,6,7}:{(72,1),(73,1),(110,1),(118,1),(144,1)}
        96:{3,4,6,7}:{(73,1),(74,1),(118,1),(119,1)}
        97:{2,4,5,7}:{(74,1),(75,1),(119,1),(120,1)}
        98:{2,3,5,6}:{(75,1),(76,1),(117,1),(120,1),(146,1)}
        99:{2,3,5,6,7}:{(77,1),(78,1),(107,1),(121,1),(142,1)}
       100:{3,4,6,7}:{(78,1),(79,1),(121,1),(122,1)}
       101:{1,4,5,7}:{(79,1),(80,1),(122,1),(123,1)}
       102:{1,3,5,6}:{(80,1),(81,1),(117,1),(123,1),(146,1)}
       103:{1,2,3,5,7}:{(82,1),(85,1),(88,1),(124,1),(125,1),(149,1)}
       104:{1,2,4,6}:{(82,1),(86,1),(89,1),(125,1),(126,1)}
       105:{1,2,3,4,7}:{(83,1),(125,1),(127,1)}
       106:{1,2,3,5}:{(83,1),(126,1)}
       107:{2,3,6,7}:{(84,1),(85,1)}
       108:{2,3,4,7}:{(85,1),(86,1),(125,1)}
       109:{2,3,4,5}:{(86,1),(126,1)}
       110:{1,3,6,7}:{(87,1),(88,1)}
       111:{1,3,4,7}:{(88,1),(89,1),(125,1)}
       112:{1,3,4,5}:{(89,1),(126,1)}
       113:{3,4,6,7}:{(90,1),(132,1),(133,1)}
       114:{3,4,5,7}:{(91,1),(132,1),(133,1)}
       115:{1,2,4,5,7}:{(90,1),(93,1),(97,1),(101,1),(132,1),(134,1),(135,1),(137,1),(149,1)}
       116:{1,2,4,6}:{(91,1),(92,1),(133,1)}
       117:{1,2,5,6}:{(93,1),(94,1),(98,1),(102,1)}
       118:{1,4,6,7}:{(95,1),(96,1),(135,1)}
       119:{3,4,5,7}:{(96,1),(97,1),(132,1),(135,1),(136,1)}
       120:{2,4,5,6}:{(97,1),(98,1),(136,1)}
       121:{2,4,6,7}:{(99,1),(100,1),(137,1)}
       122:{3,4,5,7}:{(100,1),(101,1),(132,1),(137,1),(138,1)}
       123:{1,4,5,6}:{(101,1),(102,1),(138,1)}
       124:{1,2,3,6,7}:{(103,1),(107,1),(110,1),(139,1),(141,1)}
       125:{1,2,4,7}:{(103,1),(104,1),(108,1),(111,1)}
       126:{1,2,4,5}:{(104,1),(106,1),(109,1),(112,1)}
       127:{1,2,3,5,7}:{(105,1),(106,1),(140,1),(141,1)}
       128:{2,3,4,6,7}:{(107,1),(108,1),(113,1),(121,1),(139,1),(142,1),(143,1)}
       129:{2,3,4,5,7}:{(108,1),(109,1),(114,1),(140,1),(142,1),(143,1)}
       130:{1,3,4,6,7}:{(110,1),(111,1),(113,1),(118,1),(139,1),(144,1),(145,1)}
       131:{1,3,4,5,7}:{(111,1),(112,1),(114,1),(140,1),(144,1),(145,1)}
       132:{3,5,7}:{(113,1),(115,1),(146,1)}
       133:{3,4,6}:{(114,1),(116,1),(146,1)}
       134:{1,2,4,5,6}:{(115,1),(116,1),(117,1),(120,1),(123,1),(146,1),(147,1),(148,1),(153,1)}
       135:{1,4,5,7}:{(118,1),(119,1),(144,1),(147,1)}
       136:{3,4,5,6}:{(119,1),(120,1),(146,1),(147,1)}
       137:{2,4,5,7}:{(121,1),(122,1),(142,1),(148,1)}
       138:{3,4,5,6}:{(122,1),(123,1),(146,1),(148,1)}
       139:{1,2,4,6,7}:{(124,1),(125,1),(128,1),(130,1),(149,1),(150,1)}
       140:{1,2,4,5,7}:{(125,1),(126,1),(127,1),(129,1),(131,1),(149,1),(150,1)}
       141:{1,2,3,6}:{(127,1),(150,1)}
       142:{2,3,5,7}:{(128,1),(132,1),(137,1),(149,1),(151,1)}
       143:{2,3,4,6}:{(129,1),(133,1),(150,1),(151,1)}
       144:{1,3,5,7}:{(130,1),(132,1),(135,1),(149,1),(152,1)}
       145:{1,3,4,6}:{(131,1),(133,1),(150,1),(152,1)}
       146:{3,5,6}:{(132,1),(133,1),(134,1)}
       147:{1,4,5,6}:{(135,1),(136,1),(152,1)}
       148:{2,4,5,6}:{(137,1),(138,1),(151,1)}
       149:{1,2,5,7}:{(139,1),(142,1),(144,1),(153,1)}
       150:{1,2,4,6}:{(140,1),(141,1),(143,1),(145,1),(153,1)}
       151:{2,3,5,6}:{(142,1),(143,1),(146,1),(148,1),(153,1)}
       152:{1,3,5,6}:{(144,1),(145,1),(146,1),(147,1),(153,1)}
       153:{1,2,5,6}:{(149,1),(150,1),(151,1),(152,1)}

2312 :  0:{1,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,3,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,4,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,2,4,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,5,7}:{(4,1),(8,1),(9,1)}
        7:{1,3,4,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,2,4,5,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,6}:{(6,1),(12,1),(27,1)}
       10:{1,2,3,4,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{1,3,5,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6}:{(8,1),(9,1),(16,1),(23,1)}
       13:{2,3,4,5,6,7}:{(9,1),(17,1),(32,1)}
       14:{1,2,3,5,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{1,3,4,5,7}:{(11,1),(18,1),(20,1)}
       16:{1,3,5,6}:{(11,1),(12,1),(20,1)}
       17:{1,2,4,5,6,7}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,2,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(14,1),(16,1),(23,1),(31,1)}
       20:{1,3,4,6}:{(15,1),(16,1),(23,1)}
       21:{1,3,5,6,7}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,5,7}:{(18,1),(27,1),(34,1)}
       23:{1,2,4,6}:{(18,1),(19,1),(20,1),(27,1)}
       24:{1,2,3,5,6,7}:{(19,1),(21,1),(29,1),(34,1)}
       25:{1,3,4,5,6}:{(20,1),(28,1),(30,1)}
       26:{1,3,4,6,7}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,4,6}:{(22,1),(23,1),(31,1)}
       28:{1,2,4,5,6}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{1,3,4,5,7}:{(25,1),(26,1),(33,1)}
       31:{2,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{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:{2,3,5,7}:{(31,1),(32,1),(33,1)}

2313 :  0:{1,2,3,4,6,7}:{(1,1),(14,1),(18,1),(50,1),(56,1),(85,1)}
        1:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(74,1),(93,1)}
        2:{2,3,4,5,6}:{(8,1),(9,1),(43,1),(66,1),(72,1)}
        3:{1,3,4,5,6}:{(10,1),(11,1),(41,1),(66,1),(70,1)}
        4:{3,4,5,6,7}:{(12,1),(13,1),(48,1),(83,1)}
        5:{1,2,4,5,7}:{(1,1),(17,1),(18,1)}
        6:{1,2,3,5,6}:{(1,1),(18,1),(50,1),(55,1),(84,1)}
        7:{1,2,3,4,6}:{(14,1),(20,1),(50,1),(58,1)}
        8:{1,2,4,5,6}:{(2,1),(22,1),(23,1),(58,1),(79,1),(84,1)}
        9:{2,3,4,5,7}:{(2,1),(15,1),(23,1),(61,1),(83,1),(87,1)}
       10:{1,2,4,5,6}:{(3,1),(25,1),(26,1),(58,1),(81,1),(84,1)}
       11:{1,3,4,5,7}:{(3,1),(16,1),(26,1),(60,1),(83,1),(86,1)}
       12:{2,4,5,6,7}:{(4,1),(28,1),(92,1)}
       13:{1,4,5,6,7}:{(4,1),(29,1),(91,1)}
       14:{1,2,3,4,7}:{(7,1),(31,1),(75,1)}
       15:{2,3,4,6,7}:{(9,1),(28,1),(33,1),(67,1)}
       16:{1,3,4,6,7}:{(11,1),(29,1),(35,1),(67,1)}
       17:{3,4,5,7}:{(5,1),(36,1),(74,1)}
       18:{1,2,4,6}:{(5,1),(6,1),(36,1)}
       19:{1,2,3,5,6,7}:{(6,1),(38,1),(64,1),(65,1),(69,1),(74,1),(93,1)}
       20:{1,2,3,5}:{(7,1),(39,1)}
       21:{1,3,4,5}:{(39,1),(41,1)}
       22:{1,3,5,6}:{(8,1),(41,1),(42,1)}
       23:{1,2,4,5,7}:{(8,1),(9,1),(33,1),(42,1),(75,1),(91,1),(93,1)}
       24:{2,3,4,5}:{(39,1),(43,1)}
       25:{2,3,5,6}:{(10,1),(43,1),(44,1)}
       26:{1,2,4,5,7}:{(10,1),(11,1),(35,1),(44,1),(75,1),(92,1),(93,1)}
       27:{1,2,3,4,6,7}:{(14,1),(45,1),(50,1),(77,1),(85,1),(95,1)}
       28:{2,3,5,6,7}:{(12,1),(15,1),(46,1),(48,1),(87,1)}
       29:{1,3,5,6,7}:{(13,1),(16,1),(47,1),(48,1),(86,1)}
       30:{1,2,4,5,6,7}:{(12,1),(13,1),(46,1),(47,1),(48,1),(57,1),(80,1),(82,1),(96,1)}
       31:{1,2,3,5,7}:{(14,1),(20,1),(49,1),(50,1)}
       32:{1,3,4,5,7}:{(17,1),(21,1),(49,1),(51,1),(60,1),(76,1),(86,1)}
       33:{1,2,4,6,7}:{(15,1),(23,1),(46,1),(52,1),(80,1)}
       34:{2,3,4,5,7}:{(17,1),(24,1),(49,1),(53,1),(61,1),(76,1),(87,1)}
       35:{1,2,4,6,7}:{(16,1),(26,1),(47,1),(54,1),(82,1)}
       36:{3,4,6}:{(17,1),(18,1),(55,1)}
       37:{1,2,4,5,6}:{(18,1),(55,1),(57,1),(79,1),(81,1),(84,1)}
       38:{1,2,4,6,7}:{(18,1),(19,1),(56,1),(57,1),(80,1),(82,1)}
       39:{1,2,4,5}:{(20,1),(21,1),(24,1),(58,1)}
       40:{1,2,3,5,6}:{(20,1),(22,1),(25,1),(50,1),(58,1),(59,1),(84,1)}
       41:{1,3,4,6}:{(21,1),(22,1),(58,1),(60,1)}
       42:{1,3,5,7}:{(22,1),(23,1),(52,1),(60,1)}
       43:{2,3,4,6}:{(24,1),(25,1),(58,1),(61,1)}
       44:{2,3,5,7}:{(25,1),(26,1),(54,1),(61,1)}
       45:{1,2,3,5,7}:{(27,1),(62,1),(63,1),(93,1),(97,1)}
       46:{1,2,5,6,7}:{(28,1),(33,1),(64,1),(93,1)}
       47:{1,2,5,6,7}:{(29,1),(35,1),(65,1),(93,1)}
       48:{3,5,6,7}:{(30,1),(67,1),(74,1),(97,1)}
       49:{1,2,4,5,7}:{(31,1),(32,1),(34,1),(39,1),(68,1),(75,1),(93,1)}
       50:{1,2,3,6}:{(31,1),(68,1)}
       51:{1,3,4,6}:{(32,1),(36,1),(68,1),(70,1),(88,1)}
       52:{1,3,6,7}:{(33,1),(42,1)}
       53:{2,3,4,6}:{(34,1),(36,1),(68,1),(72,1),(88,1)}
       54:{2,3,6,7}:{(35,1),(44,1)}
       55:{3,5,6}:{(36,1),(37,1),(74,1)}
       56:{3,4,6,7}:{(36,1),(38,1),(74,1)}
       57:{1,2,4,5,7}:{(37,1),(38,1),(74,1),(91,1),(92,1),(93,1)}
       58:{1,2,4,6}:{(39,1),(40,1),(41,1),(43,1),(75,1)}
       59:{1,2,3,5,7}:{(40,1),(42,1),(44,1),(69,1),(75,1),(93,1)}
       60:{1,3,4,7}:{(41,1),(42,1),(75,1)}
       61:{2,3,4,7}:{(43,1),(44,1),(75,1)}
       62:{1,2,4,5,7}:{(45,1),(76,1),(77,1)}
       63:{1,2,3,5,6}:{(45,1),(50,1),(77,1),(84,1),(94,1)}
       64:{1,3,5,6,7}:{(46,1),(48,1),(52,1),(80,1),(86,1)}
       65:{2,3,5,6,7}:{(47,1),(48,1),(54,1),(82,1),(87,1)}
       66:{3,4,5,6}:{(55,1),(79,1),(81,1),(83,1),(94,1)}
       67:{3,4,6,7}:{(48,1),(80,1),(82,1),(83,1)}
       68:{1,2,4,6}:{(49,1),(50,1),(51,1),(53,1),(84,1)}
       69:{1,2,3,6,7}:{(50,1),(52,1),(54,1),(59,1),(85,1)}
       70:{1,3,5,6}:{(51,1),(55,1),(79,1),(84,1),(86,1),(94,1)}
       71:{1,3,4,6,7}:{(51,1),(52,1),(56,1),(60,1),(80,1),(85,1),(86,1),(95,1)}
       72:{2,3,5,6}:{(53,1),(55,1),(81,1),(84,1),(87,1),(94,1)}
       73:{2,3,4,6,7}:{(53,1),(54,1),(56,1),(61,1),(82,1),(85,1),(87,1),(95,1)}
       74:{3,5,7}:{(55,1),(56,1),(57,1)}
       75:{1,2,4,7}:{(58,1),(59,1),(60,1),(61,1)}
       76:{3,4,5,7}:{(62,1),(88,1),(97,1)}
       77:{1,2,4,6}:{(62,1),(63,1),(88,1)}
       78:{1,2,3,5,6,7}:{(63,1),(64,1),(65,1),(69,1),(90,1),(93,1),(97,1)}
       79:{1,4,5,6}:{(66,1),(70,1),(91,1)}
       80:{1,4,6,7}:{(64,1),(67,1),(91,1)}
       81:{2,4,5,6}:{(66,1),(72,1),(92,1)}
       82:{2,4,6,7}:{(65,1),(67,1),(92,1)}
       83:{3,4,5,7}:{(66,1),(67,1),(74,1),(91,1),(92,1),(97,1)}
       84:{1,2,5,6}:{(68,1),(70,1),(72,1),(93,1)}
       85:{1,2,4,6,7}:{(68,1),(69,1),(71,1),(73,1),(75,1),(93,1)}
       86:{1,3,5,7}:{(70,1),(71,1),(74,1),(91,1),(93,1),(97,1)}
       87:{2,3,5,7}:{(72,1),(73,1),(74,1),(92,1),(93,1),(97,1)}
       88:{3,4,6}:{(76,1),(77,1),(94,1)}
       89:{1,2,4,5,6}:{(77,1),(79,1),(81,1),(84,1),(94,1),(96,1)}
       90:{1,2,4,6,7}:{(77,1),(78,1),(80,1),(82,1),(95,1),(96,1)}
       91:{1,4,5,7}:{(79,1),(80,1),(83,1),(86,1)}
       92:{2,4,5,7}:{(81,1),(82,1),(83,1),(87,1)}
       93:{1,2,5,7}:{(84,1),(85,1),(86,1),(87,1)}
       94:{3,5,6}:{(88,1),(89,1),(97,1)}
       95:{3,4,6,7}:{(88,1),(90,1),(97,1)}
       96:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(92,1),(93,1),(97,1)}
       97:{3,5,7}:{(94,1),(95,1),(96,1)}

2314 :  0:{2,3,4,5,6}:{(3,1),(4,1),(28,1),(76,1),(80,1)}
        1:{1,3,4,5,6}:{(5,1),(6,1),(26,1),(76,1),(79,1)}
        2:{3,4,5,6,7}:{(8,1),(9,1),(33,1),(63,1)}
        3:{2,3,4,5,7}:{(0,1),(10,1),(13,1),(42,1),(63,1),(66,1)}
        4:{1,2,4,5,6}:{(0,1),(13,1),(14,1),(39,1),(85,1),(88,1)}
        5:{1,3,4,5,7}:{(1,1),(11,1),(15,1),(40,1),(63,1),(65,1)}
        6:{1,2,4,5,6}:{(1,1),(15,1),(16,1),(39,1),(86,1),(88,1)}
        7:{1,2,3,4,6,7}:{(17,1),(36,1),(45,1),(64,1),(68,1),(89,1)}
        8:{1,4,5,6,7}:{(2,1),(19,1),(74,1)}
        9:{2,4,5,6,7}:{(2,1),(18,1),(75,1)}
       10:{2,3,4,6,7}:{(3,1),(18,1),(21,1),(48,1)}
       11:{1,3,4,6,7}:{(5,1),(19,1),(22,1),(48,1)}
       12:{1,2,3,5,6,7}:{(23,1),(30,1),(46,1),(47,1),(49,1),(52,1),(78,1)}
       13:{1,2,4,5,7}:{(3,1),(4,1),(21,1),(25,1),(55,1),(74,1),(78,1)}
       14:{1,3,5,6}:{(4,1),(25,1),(26,1)}
       15:{1,2,4,5,7}:{(5,1),(6,1),(22,1),(27,1),(55,1),(75,1),(78,1)}
       16:{2,3,5,6}:{(6,1),(27,1),(28,1)}
       17:{1,2,3,5,7}:{(7,1),(29,1),(30,1),(52,1),(78,1)}
       18:{2,3,5,6,7}:{(9,1),(10,1),(31,1),(33,1),(66,1)}
       19:{1,3,5,6,7}:{(8,1),(11,1),(32,1),(33,1),(65,1)}
       20:{1,2,4,5,6,7}:{(8,1),(9,1),(31,1),(32,1),(33,1),(37,1),(61,1),(62,1),(84,1)}
       21:{1,2,4,6,7}:{(10,1),(13,1),(31,1),(34,1),(61,1)}
       22:{1,2,4,6,7}:{(11,1),(15,1),(32,1),(35,1),(62,1)}
       23:{1,2,4,6,7}:{(12,1),(36,1),(37,1),(45,1),(61,1),(62,1)}
       24:{1,2,3,5,6}:{(14,1),(16,1),(38,1),(39,1),(69,1),(88,1),(89,1)}
       25:{1,3,5,7}:{(13,1),(14,1),(34,1),(40,1)}
       26:{1,3,4,6}:{(14,1),(39,1),(40,1),(41,1)}
       27:{2,3,5,7}:{(15,1),(16,1),(35,1),(42,1)}
       28:{2,3,4,6}:{(16,1),(39,1),(42,1),(43,1)}
       29:{1,2,4,5,7}:{(17,1),(44,1),(45,1)}
       30:{1,2,3,5,6}:{(17,1),(45,1),(67,1),(88,1),(89,1)}
       31:{1,2,5,6,7}:{(18,1),(21,1),(46,1),(78,1)}
       32:{1,2,5,6,7}:{(19,1),(22,1),(47,1),(78,1)}
       33:{3,5,6,7}:{(20,1),(48,1),(52,1),(90,1)}
       34:{1,3,6,7}:{(21,1),(25,1)}
       35:{2,3,6,7}:{(22,1),(27,1)}
       36:{3,4,6,7}:{(23,1),(52,1),(59,1)}
       37:{1,2,4,5,7}:{(23,1),(52,1),(53,1),(74,1),(75,1),(78,1)}
       38:{1,2,3,5,7}:{(24,1),(25,1),(27,1),(49,1),(55,1),(78,1)}
       39:{1,2,4,6}:{(24,1),(26,1),(28,1),(55,1),(56,1)}
       40:{1,3,4,7}:{(25,1),(26,1),(55,1)}
       41:{1,3,4,5}:{(26,1),(56,1)}
       42:{2,3,4,7}:{(27,1),(28,1),(55,1)}
       43:{2,3,4,5}:{(28,1),(56,1)}
       44:{3,4,5,7}:{(29,1),(52,1),(59,1)}
       45:{1,2,4,6}:{(29,1),(30,1),(59,1)}
       46:{1,3,5,6,7}:{(31,1),(33,1),(34,1),(61,1),(65,1)}
       47:{2,3,5,6,7}:{(32,1),(33,1),(35,1),(62,1),(66,1)}
       48:{3,4,6,7}:{(33,1),(61,1),(62,1),(63,1)}
       49:{1,2,3,6,7}:{(34,1),(35,1),(38,1),(64,1),(89,1)}
       50:{1,3,4,6,7}:{(34,1),(36,1),(40,1),(61,1),(64,1),(65,1),(71,1),(83,1)}
       51:{2,3,4,6,7}:{(35,1),(36,1),(42,1),(62,1),(64,1),(66,1),(72,1),(83,1)}
       52:{3,5,7}:{(36,1),(37,1),(67,1)}
       53:{1,2,4,5,6}:{(37,1),(45,1),(67,1),(85,1),(86,1),(88,1)}
       54:{1,2,3,4,6}:{(39,1),(68,1),(69,1),(89,1)}
       55:{1,2,4,7}:{(38,1),(39,1),(40,1),(42,1)}
       56:{1,2,4,5}:{(39,1),(41,1),(43,1),(69,1)}
       57:{1,3,4,5,7}:{(40,1),(41,1),(44,1),(65,1),(70,1),(71,1),(94,1)}
       58:{2,3,4,5,7}:{(42,1),(43,1),(44,1),(66,1),(70,1),(72,1),(94,1)}
       59:{3,4,6}:{(44,1),(45,1),(67,1)}
       60:{1,2,3,5,6,7}:{(46,1),(47,1),(49,1),(73,1),(78,1),(90,1),(93,1)}
       61:{1,4,6,7}:{(46,1),(48,1),(74,1)}
       62:{2,4,6,7}:{(47,1),(48,1),(75,1)}
       63:{3,4,5,7}:{(48,1),(52,1),(74,1),(75,1),(76,1),(90,1)}
       64:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(55,1),(78,1),(82,1)}
       65:{1,3,5,7}:{(50,1),(52,1),(74,1),(78,1),(79,1),(90,1)}
       66:{2,3,5,7}:{(51,1),(52,1),(75,1),(78,1),(80,1),(90,1)}
       67:{3,5,6}:{(52,1),(53,1),(59,1)}
       68:{1,2,3,4,7}:{(54,1),(55,1),(81,1)}
       69:{1,2,3,5}:{(54,1),(56,1)}
       70:{1,2,4,5,7}:{(55,1),(56,1),(57,1),(58,1),(78,1),(81,1),(82,1)}
       71:{1,3,4,6}:{(57,1),(59,1),(79,1),(82,1),(97,1)}
       72:{2,3,4,6}:{(58,1),(59,1),(80,1),(82,1),(97,1)}
       73:{1,2,4,6,7}:{(60,1),(61,1),(62,1),(83,1),(84,1),(96,1)}
       74:{1,4,5,7}:{(61,1),(63,1),(65,1),(85,1)}
       75:{2,4,5,7}:{(62,1),(63,1),(66,1),(86,1)}
       76:{3,4,5,6}:{(63,1),(67,1),(85,1),(86,1),(95,1)}
       77:{1,2,3,4,6,7}:{(64,1),(68,1),(83,1),(87,1),(89,1),(96,1)}
       78:{1,2,5,7}:{(64,1),(65,1),(66,1),(88,1)}
       79:{1,3,5,6}:{(65,1),(67,1),(71,1),(85,1),(88,1),(95,1)}
       80:{2,3,5,6}:{(66,1),(67,1),(72,1),(86,1),(88,1),(95,1)}
       81:{1,2,3,5,7}:{(68,1),(69,1),(70,1),(89,1)}
       82:{1,2,4,6}:{(70,1),(71,1),(72,1),(88,1),(89,1)}
       83:{3,4,6,7}:{(73,1),(90,1),(97,1)}
       84:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(78,1),(90,1),(91,1)}
       85:{1,4,5,6}:{(74,1),(76,1),(79,1)}
       86:{2,4,5,6}:{(75,1),(76,1),(80,1)}
       87:{1,2,3,5,7}:{(77,1),(78,1),(90,1),(92,1),(93,1)}
       88:{1,2,5,6}:{(78,1),(79,1),(80,1),(82,1)}
       89:{1,2,3,6}:{(81,1),(82,1)}
       90:{3,5,7}:{(83,1),(84,1),(95,1)}
       91:{1,2,4,5,6}:{(84,1),(85,1),(86,1),(88,1),(95,1),(96,1)}
       92:{1,2,4,5,7}:{(87,1),(94,1),(96,1)}
       93:{1,2,3,5,6}:{(87,1),(88,1),(89,1),(95,1),(96,1)}
       94:{3,4,5,7}:{(90,1),(92,1),(97,1)}
       95:{3,5,6}:{(90,1),(91,1),(97,1)}
       96:{1,2,4,6}:{(92,1),(93,1),(97,1)}
       97:{3,4,6}:{(94,1),(95,1),(96,1)}

2315 :  0:{1,2,3,4,5,7}:{(1,1),(5,1),(9,1),(24,1)}
        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),(24,1),(40,1)}
        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:{3,4,5,6}:{(4,1),(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),(22,1),(39,1),(40,1)}
        9:{1,2,3,4,5}:{(16,1)}
       10:{1,3,4,5,6}:{(6,1),(17,1),(18,1),(41,1)}
       11:{2,3,4,5,6}:{(6,1),(17,1),(19,1),(41,1)}
       12:{3,4,5,7}:{(6,1),(7,1),(20,1)}
       13:{1,2,4,6,7}:{(7,1),(8,1),(20,1)}
       14:{1,2,3,4,5,7}:{(9,1),(21,1),(24,1),(38,1)}
       15:{1,2,4,5,6,7}:{(13,1),(22,1),(35,1),(36,1),(39,1)}
       16:{1,2,3,4,6}:{(9,1),(23,1),(24,1)}
       17:{1,2,4,5,6}:{(10,1),(11,1),(23,1),(25,1)}
       18:{1,3,4,5,7}:{(10,1),(12,1),(25,1),(26,1),(45,1)}
       19:{2,3,4,5,7}:{(11,1),(12,1),(25,1),(27,1),(45,1)}
       20:{3,4,6,7}:{(12,1),(13,1),(22,1)}
       21:{1,2,3,4,6}:{(14,1),(29,1)}
       22:{3,5,6,7}:{(15,1),(20,1)}
       23:{1,2,3,5,6}:{(16,1),(17,1),(33,1)}
       24:{1,2,3,4,7}:{(16,1),(33,1)}
       25:{1,2,4,5,7}:{(17,1),(18,1),(19,1),(33,1),(34,1)}
       26:{1,3,4,6,7}:{(18,1),(20,1),(31,1),(34,1),(48,1)}
       27:{2,3,4,6,7}:{(19,1),(20,1),(32,1),(34,1),(48,1)}
       28:{3,4,5,6,7}:{(22,1),(35,1),(36,1),(46,1)}
       29:{1,2,3,5,6}:{(21,1),(37,1),(38,1)}
       30:{1,2,3,4,6,7}:{(21,1),(24,1),(38,1),(40,1),(47,1)}
       31:{1,3,5,6,7}:{(22,1),(26,1),(35,1),(39,1),(46,1)}
       32:{2,3,5,6,7}:{(22,1),(27,1),(36,1),(39,1),(46,1)}
       33:{1,2,3,5,7}:{(23,1),(24,1),(25,1),(40,1)}
       34:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(39,1),(40,1)}
       35:{1,4,5,6,7}:{(28,1),(31,1)}
       36:{2,4,5,6,7}:{(28,1),(32,1)}
       37:{1,2,4,5,6}:{(29,1),(41,1),(43,1)}
       38:{1,2,3,5,7}:{(29,1),(30,1),(43,1)}
       39:{1,2,5,6,7}:{(31,1),(32,1),(34,1)}
       40:{1,2,3,6,7}:{(33,1),(34,1)}
       41:{3,4,5,6}:{(37,1),(45,1)}
       42:{1,2,4,5,6,7}:{(35,1),(36,1),(39,1),(46,1),(47,1)}
       43:{1,2,4,5,7}:{(37,1),(38,1),(45,1),(47,1)}
       44:{1,2,3,5,6,7}:{(38,1),(39,1),(40,1),(46,1),(47,1)}
       45:{3,4,5,7}:{(41,1),(43,1),(48,1)}
       46:{3,5,6,7}:{(42,1),(48,1)}
       47:{1,2,4,6,7}:{(43,1),(44,1),(48,1)}
       48:{3,4,6,7}:{(45,1),(46,1),(47,1)}

2316 :  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:{3,4,5,6}:{(4,1),(9,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,2,3,6,7}:{(5,1),(10,1)}
        9:{3,4,5,7}:{(6,1),(7,1),(11,1)}
       10:{1,2,4,6,7}:{(7,1),(8,1),(11,1),(12,1)}
       11:{3,4,6,7}:{(9,1),(10,1),(13,1)}
       12:{1,2,5,6,7}:{(10,1),(13,1)}
       13:{3,5,6,7}:{(11,1),(12,1),(14,1)}
       14:{4,5,6,7}:{(13,1)}

2317 :  0:{1,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,3,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,4,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,2,4,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,5,7}:{(4,1),(8,1),(9,1)}
        7:{1,3,4,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,2,4,5,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,6}:{(6,1),(12,1),(27,1)}
       10:{1,2,3,4,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{1,3,5,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6}:{(8,1),(9,1),(16,1),(23,1)}
       13:{2,3,4,5,6,7}:{(9,1),(17,1),(32,1)}
       14:{1,2,3,5,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{1,3,4,5,7}:{(11,1),(18,1),(20,1)}
       16:{1,3,5,6}:{(11,1),(12,1),(20,1)}
       17:{1,2,4,5,6,7}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,2,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(14,1),(16,1),(23,1),(31,1)}
       20:{1,3,4,6}:{(15,1),(16,1),(23,1)}
       21:{1,3,5,6,7}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,5,7}:{(18,1),(27,1),(34,1)}
       23:{1,2,4,6}:{(18,1),(19,1),(20,1),(27,1)}
       24:{1,2,3,5,6,7}:{(19,1),(21,1),(29,1),(34,1)}
       25:{1,3,4,5,6}:{(20,1),(28,1),(30,1)}
       26:{1,3,4,6,7}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,4,6}:{(22,1),(23,1),(31,1)}
       28:{1,2,4,5,6}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{1,3,4,5,7}:{(25,1),(26,1),(33,1)}
       31:{2,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{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:{2,3,5,7}:{(31,1),(32,1),(33,1)}

2318 :  0:{1,2,3,4,5}:{(2,1)}
        1:{1,2,3,4,5,7}:{(0,1),(4,1),(5,1),(16,1),(42,1),(55,1)}
        2:{1,2,3,4,6}:{(0,1),(3,1),(5,1)}
        3:{1,2,3,5,6}:{(2,1),(7,1),(8,1)}
        4:{1,2,3,4,6}:{(1,1),(9,1)}
        5:{1,2,3,4,7}:{(2,1),(8,1)}
        6:{2,3,4,5,6}:{(7,1),(11,1),(21,1)}
        7:{1,2,4,5,6}:{(3,1),(6,1),(12,1),(13,1)}
        8:{1,2,3,5,7}:{(3,1),(5,1),(13,1),(14,1)}
        9:{1,2,3,5,6}:{(4,1),(15,1),(16,1)}
       10:{1,2,3,4,6,7}:{(4,1),(5,1),(14,1),(16,1),(26,1),(54,1),(55,1)}
       11:{2,3,4,5,7}:{(6,1),(13,1),(17,1),(29,1)}
       12:{1,3,4,5,6}:{(7,1),(18,1),(21,1)}
       13:{1,2,4,5,7}:{(7,1),(8,1),(11,1),(18,1),(19,1)}
       14:{1,2,3,6,7}:{(8,1),(19,1)}
       15:{1,2,4,5,6}:{(9,1),(21,1),(22,1)}
       16:{1,2,3,5,7}:{(9,1),(10,1),(22,1)}
       17:{2,3,4,6,7}:{(11,1),(19,1),(23,1),(33,1)}
       18:{1,3,4,5,7}:{(12,1),(13,1),(24,1),(29,1)}
       19:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(24,1),(25,1)}
       20:{1,2,3,5,6,7}:{(14,1),(16,1),(25,1),(26,1),(39,1),(53,1),(54,1)}
       21:{3,4,5,6}:{(15,1),(29,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(29,1)}
       23:{2,3,5,6,7}:{(17,1),(25,1),(30,1),(39,1)}
       24:{1,3,4,6,7}:{(18,1),(19,1),(31,1),(33,1)}
       25:{1,2,5,6,7}:{(19,1),(23,1),(31,1)}
       26:{1,2,4,6,7}:{(20,1),(22,1),(33,1)}
       27:{2,3,4,5,6}:{(21,1),(34,1),(35,1)}
       28:{1,3,4,5,6}:{(21,1),(34,1),(36,1)}
       29:{3,4,5,7}:{(21,1),(22,1),(33,1)}
       30:{2,4,5,6,7}:{(23,1),(37,1)}
       31:{1,3,5,6,7}:{(24,1),(25,1),(38,1),(39,1)}
       32:{1,2,4,5,6,7}:{(25,1),(26,1),(30,1),(38,1),(39,1),(45,1),(52,1),(53,1)}
       33:{3,4,6,7}:{(26,1),(29,1),(39,1)}
       34:{1,2,4,5,6}:{(27,1),(28,1),(43,1),(44,1)}
       35:{2,3,4,5,7}:{(27,1),(29,1),(40,1),(44,1)}
       36:{1,3,4,5,7}:{(28,1),(29,1),(41,1),(44,1)}
       37:{3,4,5,6,7}:{(30,1),(39,1),(45,1)}
       38:{1,4,5,6,7}:{(31,1),(46,1)}
       39:{3,5,6,7}:{(32,1),(33,1)}
       40:{2,3,4,6,7}:{(33,1),(35,1),(47,1),(49,1)}
       41:{1,3,4,6,7}:{(33,1),(36,1),(48,1),(49,1)}
       42:{1,2,3,4,5}:{(50,1)}
       43:{1,2,3,5,6}:{(34,1),(50,1),(51,1)}
       44:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(49,1),(51,1)}
       45:{1,4,5,6,7}:{(37,1),(48,1)}
       46:{3,4,5,6,7}:{(38,1),(39,1),(52,1)}
       47:{2,3,5,6,7}:{(39,1),(40,1),(52,1),(53,1)}
       48:{1,3,5,6,7}:{(39,1),(41,1),(45,1),(53,1)}
       49:{1,2,4,6,7}:{(40,1),(41,1),(44,1),(53,1),(54,1)}
       50:{1,2,3,4,6}:{(42,1),(43,1),(55,1)}
       51:{1,2,3,5,7}:{(43,1),(44,1),(54,1),(55,1)}
       52:{2,4,5,6,7}:{(46,1),(47,1)}
       53:{1,2,5,6,7}:{(47,1),(48,1),(49,1)}
       54:{1,2,3,6,7}:{(49,1),(51,1)}
       55:{1,2,3,4,7}:{(50,1),(51,1)}

2319 :  0:{2,3,4,5,6,7}:{(1,1),(9,1),(30,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(6,1),(33,1)}
        2:{1,3,5,6,7}:{(1,1),(4,1),(34,1)}
        3:{1,2,3,5,6,7}:{(2,1),(6,1),(14,1),(23,1)}
        4:{1,3,4,6,7}:{(2,1),(6,1),(7,1),(32,1)}
        5:{1,3,4,5,6,7}:{(8,1),(11,1),(26,1)}
        6:{1,2,4,6,7}:{(3,1),(4,1),(9,1),(10,1),(29,1)}
        7:{1,3,4,5,7}:{(4,1),(10,1),(11,1)}
        8:{1,2,4,5,6,7}:{(5,1),(13,1),(15,1),(21,1)}
        9:{2,3,4,6,7}:{(6,1),(14,1),(25,1)}
       10:{1,2,4,5,7}:{(6,1),(7,1),(14,1),(15,1)}
       11:{1,3,4,5,6}:{(7,1),(15,1),(32,1)}
       12:{1,2,3,4,6,7}:{(9,1),(17,1),(26,1),(29,1)}
       13:{2,3,5,6,7}:{(8,1),(18,1),(20,1)}
       14:{2,3,5,7}:{(9,1),(10,1),(20,1)}
       15:{1,2,4,5,6}:{(10,1),(11,1),(20,1),(29,1)}
       16:{1,2,3,5,6,7}:{(13,1),(21,1),(23,1),(31,1)}
       17:{1,2,3,5,7}:{(12,1),(14,1),(22,1),(23,1),(31,1)}
       18:{2,3,4,6,7}:{(13,1),(21,1),(24,1),(25,1)}
       19:{2,3,4,5,7}:{(14,1),(22,1),(25,1)}
       20:{2,3,5,6}:{(14,1),(15,1),(25,1)}
       21:{1,2,4,6,7}:{(16,1),(18,1),(26,1),(28,1),(29,1)}
       22:{1,2,4,5,7}:{(17,1),(19,1),(27,1),(29,1)}
       23:{1,2,3,5,6}:{(17,1),(20,1),(29,1),(34,1)}
       24:{2,3,4,5,7}:{(18,1),(28,1),(30,1)}
       25:{2,3,4,6}:{(19,1),(20,1),(29,1)}
       26:{1,3,4,6,7}:{(21,1),(31,1),(32,1)}
       27:{1,3,4,5,7}:{(22,1),(31,1),(32,1)}
       28:{1,2,4,5,7}:{(21,1),(24,1),(31,1),(33,1)}
       29:{1,2,4,6}:{(22,1),(23,1),(25,1),(32,1)}
       30:{2,3,4,5,6}:{(24,1),(25,1),(33,1)}
       31:{1,3,5,7}:{(26,1),(28,1),(34,1)}
       32:{1,3,4,6}:{(27,1),(29,1),(34,1)}
       33:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,3,5,6}:{(31,1),(32,1),(33,1)}

2320 :   0:{1,3,4,5,6}:{(2,1),(3,1),(44,1),(90,1),(108,1)}
         1:{1,2,3,4,6}:{(5,1),(6,1),(31,1),(32,1)}
         2:{1,2,4,5,6}:{(0,1),(9,1),(10,1),(32,1),(80,1),(84,1)}
         3:{1,3,4,5,7}:{(0,1),(7,1),(10,1),(66,1),(115,1),(131,1)}
         4:{2,3,4,5,6}:{(11,1),(12,1),(21,1),(59,1),(133,1)}
         5:{1,2,3,4,7}:{(1,1),(14,1),(55,1)}
         6:{1,2,3,5}:{(1,1),(15,1)}
         7:{1,3,4,6,7}:{(3,1),(18,1),(20,1),(109,1)}
         8:{2,3,4,5}:{(15,1),(21,1)}
         9:{2,3,5,6}:{(2,1),(21,1),(22,1)}
        10:{1,2,4,5,7}:{(2,1),(3,1),(20,1),(22,1),(55,1),(106,1),(110,1)}
        11:{1,2,4,5,6}:{(4,1),(25,1),(26,1),(32,1),(80,1),(113,1)}
        12:{2,3,4,5,7}:{(4,1),(23,1),(26,1),(39,1),(86,1),(147,1)}
        13:{1,2,3,4,6,7}:{(5,1),(29,1),(31,1),(67,1),(78,1),(81,1),(117,1),(127,1),(149,1)}
        14:{1,2,3,5,7}:{(5,1),(6,1),(30,1),(31,1)}
        15:{1,2,4,5}:{(6,1),(8,1),(24,1),(32,1)}
        16:{1,2,3,5,6}:{(6,1),(9,1),(25,1),(31,1),(32,1),(33,1),(80,1)}
        17:{3,4,5,6,7}:{(34,1),(35,1),(83,1),(147,1)}
        18:{1,3,5,6,7}:{(7,1),(35,1),(36,1),(83,1),(115,1)}
        19:{2,3,4,5,7}:{(8,1),(30,1),(37,1),(39,1),(77,1),(86,1)}
        20:{1,2,4,6,7}:{(7,1),(10,1),(36,1),(38,1),(85,1)}
        21:{2,3,4,6}:{(8,1),(9,1),(32,1),(39,1)}
        22:{2,3,5,7}:{(9,1),(10,1),(38,1),(39,1)}
        23:{2,3,4,6,7}:{(12,1),(41,1),(43,1),(134,1)}
        24:{1,3,4,5}:{(15,1),(44,1)}
        25:{1,3,5,6}:{(11,1),(44,1),(45,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(43,1),(45,1),(55,1),(106,1),(135,1)}
        27:{1,3,4,5,6}:{(47,1),(48,1),(101,1),(133,1),(141,1)}
        28:{2,3,4,5,6}:{(49,1),(50,1),(97,1),(108,1),(139,1)}
        29:{1,2,3,5,7}:{(13,1),(51,1),(52,1),(106,1),(143,1),(153,1)}
        30:{1,2,4,5,7}:{(14,1),(15,1),(19,1),(42,1),(53,1),(55,1),(106,1)}
        31:{1,2,3,6}:{(14,1),(53,1)}
        32:{1,2,4,6}:{(15,1),(16,1),(21,1),(44,1),(55,1)}
        33:{1,2,3,5,7}:{(16,1),(22,1),(45,1),(54,1),(55,1),(106,1)}
        34:{2,4,5,6,7}:{(17,1),(56,1),(152,1)}
        35:{1,4,5,6,7}:{(17,1),(18,1),(135,1)}
        36:{1,2,5,6,7}:{(18,1),(20,1),(58,1),(106,1)}
        37:{2,3,4,6}:{(19,1),(53,1),(59,1),(103,1)}
        38:{2,3,6,7}:{(20,1),(22,1)}
        39:{2,3,4,7}:{(21,1),(22,1),(55,1)}
        40:{3,4,5,6,7}:{(61,1),(62,1),(112,1),(131,1)}
        41:{2,3,5,6,7}:{(23,1),(61,1),(63,1),(86,1),(112,1)}
        42:{1,3,4,5,7}:{(24,1),(30,1),(64,1),(66,1),(77,1),(115,1)}
        43:{1,2,4,6,7}:{(23,1),(26,1),(63,1),(65,1),(114,1)}
        44:{1,3,4,6}:{(24,1),(25,1),(32,1),(66,1)}
        45:{1,3,5,7}:{(25,1),(26,1),(65,1),(66,1)}
        46:{1,2,3,4,6}:{(67,1),(68,1),(117,1),(118,1)}
        47:{1,2,4,5,6}:{(27,1),(71,1),(72,1),(118,1),(145,1),(148,1)}
        48:{1,3,4,5,7}:{(27,1),(69,1),(72,1),(125,1),(147,1),(151,1)}
        49:{1,2,4,5,6}:{(28,1),(75,1),(76,1),(118,1),(129,1),(148,1)}
        50:{2,3,4,5,7}:{(28,1),(73,1),(76,1),(122,1),(131,1),(150,1)}
        51:{1,2,4,5,7}:{(29,1),(77,1),(78,1)}
        52:{1,2,3,5,6}:{(29,1),(31,1),(78,1),(80,1),(117,1),(126,1),(148,1)}
        53:{1,2,4,6}:{(30,1),(31,1),(37,1),(64,1),(80,1)}
        54:{1,2,3,6,7}:{(31,1),(33,1),(38,1),(65,1),(81,1)}
        55:{1,2,4,7}:{(32,1),(33,1),(39,1),(66,1)}
        56:{2,3,5,6,7}:{(34,1),(73,1),(82,1),(83,1),(150,1)}
        57:{1,2,4,5,6,7}:{(34,1),(35,1),(36,1),(82,1),(83,1),(85,1),(128,1),(130,1)}
        58:{2,3,5,6,7}:{(36,1),(38,1),(83,1),(85,1),(86,1)}
        59:{2,3,5,6}:{(37,1),(80,1),(84,1),(86,1),(126,1)}
        60:{2,3,4,6,7}:{(37,1),(38,1),(39,1),(81,1),(85,1),(86,1),(127,1)}
        61:{2,4,5,6,7}:{(40,1),(41,1),(110,1)}
        62:{1,4,5,6,7}:{(40,1),(87,1),(144,1)}
        63:{1,2,5,6,7}:{(41,1),(43,1),(89,1),(106,1)}
        64:{1,3,4,6}:{(42,1),(53,1),(90,1),(103,1)}
        65:{1,3,6,7}:{(43,1),(45,1)}
        66:{1,3,4,7}:{(44,1),(45,1),(55,1)}
        67:{1,2,3,4,7}:{(46,1),(92,1),(138,1)}
        68:{1,2,3,5}:{(46,1),(93,1)}
        69:{1,3,4,6,7}:{(48,1),(87,1),(96,1),(134,1)}
        70:{2,3,4,5}:{(93,1),(97,1)}
        71:{2,3,5,6}:{(47,1),(97,1),(98,1)}
        72:{1,2,4,5,7}:{(47,1),(48,1),(96,1),(98,1),(138,1),(152,1),(153,1)}
        73:{2,3,4,6,7}:{(50,1),(56,1),(100,1),(109,1)}
        74:{1,3,4,5}:{(93,1),(101,1)}
        75:{1,3,5,6}:{(49,1),(101,1),(102,1)}
        76:{1,2,4,5,7}:{(49,1),(50,1),(100,1),(102,1),(138,1),(144,1),(153,1)}
        77:{3,4,5,7}:{(51,1),(103,1),(143,1)}
        78:{1,2,4,6}:{(51,1),(52,1),(103,1)}
        79:{1,2,3,5,6,7}:{(52,1),(54,1),(58,1),(89,1),(105,1),(106,1),(107,1),(132,1),(137,1),(143,1),(153,1)}
        80:{1,2,5,6}:{(53,1),(59,1),(90,1),(106,1)}
        81:{1,2,4,6,7}:{(53,1),(54,1),(55,1),(60,1),(91,1),(106,1)}
        82:{1,2,5,6,7}:{(56,1),(100,1),(107,1),(153,1)}
        83:{3,5,6,7}:{(57,1),(109,1),(143,1)}
        84:{2,4,5,6}:{(59,1),(108,1),(110,1)}
        85:{2,4,6,7}:{(58,1),(109,1),(110,1)}
        86:{2,3,5,7}:{(59,1),(60,1),(106,1),(110,1),(143,1)}
        87:{1,3,5,6,7}:{(62,1),(69,1),(111,1),(112,1),(151,1)}
        88:{1,2,4,5,6,7}:{(61,1),(62,1),(63,1),(111,1),(112,1),(114,1),(128,1),(146,1)}
        89:{1,3,5,6,7}:{(63,1),(65,1),(112,1),(114,1),(115,1)}
        90:{1,3,5,6}:{(64,1),(80,1),(113,1),(115,1),(126,1)}
        91:{1,3,4,6,7}:{(64,1),(65,1),(66,1),(81,1),(114,1),(115,1),(127,1)}
        92:{1,2,3,5,7}:{(67,1),(68,1),(116,1),(117,1)}
        93:{1,2,4,5}:{(68,1),(70,1),(74,1),(118,1)}
        94:{1,2,3,5,6}:{(68,1),(71,1),(75,1),(117,1),(118,1),(119,1),(148,1)}
        95:{2,3,4,5,7}:{(70,1),(77,1),(116,1),(120,1),(122,1),(150,1)}
        96:{1,2,4,6,7}:{(69,1),(72,1),(111,1),(121,1),(146,1)}
        97:{2,3,4,6}:{(70,1),(71,1),(118,1),(122,1)}
        98:{2,3,5,7}:{(71,1),(72,1),(121,1),(122,1)}
        99:{1,3,4,5,7}:{(74,1),(77,1),(116,1),(123,1),(125,1),(151,1)}
       100:{1,2,4,6,7}:{(73,1),(76,1),(82,1),(124,1),(130,1)}
       101:{1,3,4,6}:{(74,1),(75,1),(118,1),(125,1)}
       102:{1,3,5,7}:{(75,1),(76,1),(124,1),(125,1)}
       103:{3,4,6}:{(77,1),(78,1),(126,1)}
       104:{1,2,4,5,6}:{(78,1),(80,1),(84,1),(113,1),(126,1),(128,1),(129,1),(145,1),(148,1)}
       105:{1,2,4,6,7}:{(78,1),(79,1),(85,1),(114,1),(127,1),(128,1),(130,1),(146,1)}
       106:{1,2,5,7}:{(80,1),(81,1),(86,1),(115,1)}
       107:{1,3,5,6,7}:{(82,1),(83,1),(124,1),(130,1),(151,1)}
       108:{3,4,5,6}:{(84,1),(126,1),(129,1),(131,1)}
       109:{3,4,6,7}:{(83,1),(85,1),(130,1),(131,1)}
       110:{2,4,5,7}:{(84,1),(85,1),(86,1),(131,1)}
       111:{1,2,5,6,7}:{(87,1),(96,1),(132,1),(153,1)}
       112:{3,5,6,7}:{(88,1),(134,1),(143,1)}
       113:{1,4,5,6}:{(90,1),(133,1),(135,1)}
       114:{1,4,6,7}:{(89,1),(134,1),(135,1)}
       115:{1,3,5,7}:{(90,1),(91,1),(106,1),(135,1),(143,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(99,1),(136,1),(138,1),(153,1)}
       117:{1,2,3,6}:{(92,1),(136,1)}
       118:{1,2,4,6}:{(93,1),(94,1),(97,1),(101,1),(138,1)}
       119:{1,2,3,5,7}:{(94,1),(98,1),(102,1),(137,1),(138,1),(153,1)}
       120:{2,3,4,6}:{(95,1),(103,1),(136,1),(139,1)}
       121:{2,3,6,7}:{(96,1),(98,1)}
       122:{2,3,4,7}:{(97,1),(98,1),(138,1)}
       123:{1,3,4,6}:{(99,1),(103,1),(136,1),(141,1)}
       124:{1,3,6,7}:{(100,1),(102,1)}
       125:{1,3,4,7}:{(101,1),(102,1),(138,1)}
       126:{3,5,6}:{(103,1),(104,1),(143,1)}
       127:{3,4,6,7}:{(103,1),(105,1),(143,1)}
       128:{1,2,4,5,7}:{(104,1),(105,1),(106,1),(110,1),(135,1),(143,1),(144,1),(152,1),(153,1)}
       129:{1,4,5,6}:{(108,1),(141,1),(144,1)}
       130:{1,4,6,7}:{(107,1),(109,1),(144,1)}
       131:{3,4,5,7}:{(108,1),(109,1),(110,1),(143,1),(144,1)}
       132:{2,3,5,6,7}:{(111,1),(112,1),(121,1),(146,1),(150,1)}
       133:{3,4,5,6}:{(113,1),(126,1),(145,1),(147,1)}
       134:{3,4,6,7}:{(112,1),(114,1),(146,1),(147,1)}
       135:{1,4,5,7}:{(113,1),(114,1),(115,1),(147,1)}
       136:{1,2,4,6}:{(116,1),(117,1),(120,1),(123,1),(148,1)}
       137:{1,2,3,6,7}:{(117,1),(119,1),(121,1),(124,1),(149,1)}
       138:{1,2,4,7}:{(118,1),(119,1),(122,1),(125,1)}
       139:{2,3,5,6}:{(120,1),(126,1),(145,1),(148,1),(150,1)}
       140:{2,3,4,6,7}:{(120,1),(121,1),(122,1),(127,1),(146,1),(149,1),(150,1)}
       141:{1,3,5,6}:{(123,1),(126,1),(129,1),(148,1),(151,1)}
       142:{1,3,4,6,7}:{(123,1),(124,1),(125,1),(127,1),(130,1),(149,1),(151,1)}
       143:{3,5,7}:{(126,1),(127,1),(128,1)}
       144:{1,4,5,7}:{(129,1),(130,1),(131,1),(151,1)}
       145:{2,4,5,6}:{(133,1),(139,1),(152,1)}
       146:{2,4,6,7}:{(132,1),(134,1),(152,1)}
       147:{3,4,5,7}:{(133,1),(134,1),(135,1),(143,1),(152,1)}
       148:{1,2,5,6}:{(136,1),(139,1),(141,1),(153,1)}
       149:{1,2,4,6,7}:{(136,1),(137,1),(138,1),(140,1),(142,1),(153,1)}
       150:{2,3,5,7}:{(139,1),(140,1),(143,1),(152,1),(153,1)}
       151:{1,3,5,7}:{(141,1),(142,1),(143,1),(144,1),(153,1)}
       152:{2,4,5,7}:{(145,1),(146,1),(147,1),(150,1)}
       153:{1,2,5,7}:{(148,1),(149,1),(150,1),(151,1)}

2321 :   0:{1,3,4,5,6}:{(3,1),(4,1),(58,1),(65,1),(109,1)}
         1:{3,4,5,6,7}:{(6,1),(7,1),(37,1),(147,1)}
         2:{1,2,3,4,6}:{(8,1),(10,1),(39,1),(43,1)}
         3:{1,2,4,5,6}:{(0,1),(12,1),(13,1),(43,1),(83,1),(87,1)}
         4:{1,3,4,5,7}:{(0,1),(9,1),(13,1),(85,1),(91,1),(129,1)}
         5:{2,3,4,5,6}:{(15,1),(16,1),(58,1),(99,1),(132,1)}
         6:{2,4,5,6,7}:{(1,1),(18,1),(150,1)}
         7:{1,4,5,6,7}:{(1,1),(19,1),(141,1)}
         8:{1,2,3,4,7}:{(2,1),(21,1),(67,1)}
         9:{1,3,4,6,7}:{(4,1),(19,1),(23,1),(59,1)}
        10:{1,2,3,5}:{(2,1),(24,1)}
        11:{2,3,4,5}:{(24,1),(26,1)}
        12:{2,3,5,6}:{(3,1),(26,1),(27,1)}
        13:{1,2,4,5,7}:{(3,1),(4,1),(23,1),(27,1),(67,1),(107,1),(111,1)}
        14:{1,2,3,4,6}:{(28,1),(30,1),(70,1),(74,1)}
        15:{1,2,4,5,6}:{(5,1),(32,1),(33,1),(74,1),(81,1),(116,1)}
        16:{2,3,4,5,7}:{(5,1),(29,1),(33,1),(85,1),(120,1),(144,1)}
        17:{1,2,3,4,6,7}:{(8,1),(28,1),(34,1),(39,1),(70,1),(79,1),(88,1),(117,1),(124,1)}
        18:{2,3,5,6,7}:{(6,1),(29,1),(35,1),(37,1),(144,1)}
        19:{1,3,5,6,7}:{(7,1),(9,1),(36,1),(37,1),(129,1)}
        20:{1,2,4,5,6,7}:{(6,1),(7,1),(35,1),(36,1),(37,1),(82,1),(84,1),(125,1)}
        21:{1,2,3,5,7}:{(8,1),(10,1),(38,1),(39,1)}
        22:{2,3,4,5,7}:{(11,1),(38,1),(40,1),(46,1),(78,1),(89,1)}
        23:{1,2,4,6,7}:{(9,1),(13,1),(36,1),(41,1),(84,1)}
        24:{1,2,4,5}:{(10,1),(11,1),(42,1),(43,1)}
        25:{1,2,3,5,6}:{(10,1),(12,1),(39,1),(43,1),(44,1),(87,1),(90,1)}
        26:{2,3,4,6}:{(11,1),(12,1),(43,1),(46,1)}
        27:{2,3,5,7}:{(12,1),(13,1),(41,1),(46,1)}
        28:{1,2,3,4,7}:{(14,1),(47,1),(101,1)}
        29:{2,3,4,6,7}:{(16,1),(18,1),(49,1),(59,1)}
        30:{1,2,3,5}:{(14,1),(50,1)}
        31:{1,3,4,5}:{(50,1),(52,1)}
        32:{1,3,5,6}:{(15,1),(52,1),(53,1)}
        33:{1,2,4,5,7}:{(15,1),(16,1),(49,1),(53,1),(101,1),(106,1),(134,1)}
        34:{1,2,3,5,7}:{(17,1),(54,1),(55,1),(111,1),(134,1),(139,1)}
        35:{1,2,5,6,7}:{(18,1),(49,1),(56,1),(134,1)}
        36:{1,2,5,6,7}:{(19,1),(23,1),(57,1),(111,1)}
        37:{3,5,6,7}:{(20,1),(59,1),(139,1)}
        38:{1,2,4,5,7}:{(21,1),(22,1),(24,1),(60,1),(61,1),(67,1),(111,1)}
        39:{1,2,3,6}:{(21,1),(61,1)}
        40:{2,3,4,6}:{(22,1),(61,1),(63,1),(103,1)}
        41:{2,3,6,7}:{(23,1),(27,1)}
        42:{1,3,4,5}:{(24,1),(65,1)}
        43:{1,2,4,6}:{(24,1),(25,1),(26,1),(65,1),(67,1)}
        44:{1,2,3,5,7}:{(25,1),(27,1),(62,1),(67,1),(111,1),(113,1)}
        45:{2,3,4,5,6}:{(26,1),(63,1),(66,1),(68,1),(138,1)}
        46:{2,3,4,7}:{(26,1),(27,1),(67,1)}
        47:{1,2,3,5,7}:{(28,1),(30,1),(69,1),(70,1)}
        48:{1,3,4,5,7}:{(31,1),(69,1),(71,1),(77,1),(78,1),(118,1)}
        49:{1,2,4,6,7}:{(29,1),(33,1),(35,1),(72,1),(82,1)}
        50:{1,2,4,5}:{(30,1),(31,1),(73,1),(74,1)}
        51:{1,2,3,5,6}:{(30,1),(32,1),(70,1),(74,1),(75,1),(116,1),(119,1)}
        52:{1,3,4,6}:{(31,1),(32,1),(74,1),(77,1)}
        53:{1,3,5,7}:{(32,1),(33,1),(72,1),(77,1)}
        54:{1,2,4,5,7}:{(34,1),(78,1),(79,1)}
        55:{1,2,3,5,6}:{(34,1),(39,1),(70,1),(79,1),(87,1),(116,1),(123,1)}
        56:{1,3,5,6,7}:{(35,1),(37,1),(72,1),(82,1),(118,1)}
        57:{2,3,5,6,7}:{(36,1),(37,1),(41,1),(84,1),(89,1)}
        58:{3,4,5,6}:{(81,1),(83,1),(85,1),(123,1)}
        59:{3,4,6,7}:{(37,1),(82,1),(84,1),(85,1)}
        60:{1,3,4,5,7}:{(38,1),(42,1),(78,1),(86,1),(91,1),(129,1)}
        61:{1,2,4,6}:{(38,1),(39,1),(40,1),(86,1),(87,1)}
        62:{1,2,3,6,7}:{(39,1),(41,1),(44,1),(88,1),(131,1)}
        63:{2,3,5,6}:{(40,1),(83,1),(87,1),(89,1),(123,1)}
        64:{2,3,4,6,7}:{(40,1),(41,1),(46,1),(84,1),(88,1),(89,1),(124,1)}
        65:{1,3,4,6}:{(42,1),(43,1),(90,1),(91,1)}
        66:{1,2,4,5,6}:{(43,1),(45,1),(87,1),(90,1),(92,1),(128,1)}
        67:{1,2,4,7}:{(43,1),(44,1),(46,1),(91,1)}
        68:{2,3,4,5,7}:{(45,1),(46,1),(89,1),(92,1),(93,1),(147,1)}
        69:{1,2,4,5,7}:{(47,1),(48,1),(50,1),(94,1),(95,1),(101,1),(134,1)}
        70:{1,2,3,6}:{(47,1),(95,1)}
        71:{1,3,4,6}:{(48,1),(95,1),(97,1),(103,1)}
        72:{1,3,6,7}:{(49,1),(53,1)}
        73:{2,3,4,5}:{(50,1),(99,1)}
        74:{1,2,4,6}:{(50,1),(51,1),(52,1),(99,1),(101,1)}
        75:{1,2,3,5,7}:{(51,1),(53,1),(96,1),(101,1),(134,1),(136,1)}
        76:{1,3,4,5,6}:{(52,1),(97,1),(100,1),(102,1),(138,1)}
        77:{1,3,4,7}:{(52,1),(53,1),(101,1)}
        78:{3,4,5,7}:{(54,1),(103,1),(139,1)}
        79:{1,2,4,6}:{(54,1),(55,1),(103,1)}
        80:{1,2,3,5,6,7}:{(55,1),(56,1),(57,1),(62,1),(96,1),(105,1),(111,1),(134,1),(139,1),(142,1),(151,1)}
        81:{1,4,5,6}:{(58,1),(97,1),(106,1)}
        82:{1,4,6,7}:{(56,1),(59,1),(106,1)}
        83:{2,4,5,6}:{(58,1),(63,1),(107,1)}
        84:{2,4,6,7}:{(57,1),(59,1),(107,1)}
        85:{3,4,5,7}:{(58,1),(59,1),(106,1),(107,1),(139,1)}
        86:{1,3,4,6}:{(60,1),(61,1),(103,1),(109,1)}
        87:{1,2,5,6}:{(61,1),(63,1),(109,1),(111,1)}
        88:{1,2,4,6,7}:{(61,1),(62,1),(64,1),(67,1),(110,1),(111,1)}
        89:{2,3,5,7}:{(63,1),(64,1),(107,1),(111,1),(139,1)}
        90:{1,3,5,6}:{(65,1),(66,1),(113,1)}
        91:{1,3,4,7}:{(65,1),(67,1),(113,1)}
        92:{1,2,4,5,7}:{(66,1),(67,1),(68,1),(111,1),(113,1),(114,1),(141,1)}
        93:{2,3,4,6,7}:{(68,1),(112,1),(114,1),(152,1)}
        94:{2,3,4,5,7}:{(69,1),(73,1),(78,1),(115,1),(120,1),(144,1)}
        95:{1,2,4,6}:{(69,1),(70,1),(71,1),(115,1),(116,1)}
        96:{1,2,3,6,7}:{(70,1),(72,1),(75,1),(117,1),(146,1)}
        97:{1,3,5,6}:{(71,1),(81,1),(116,1),(118,1),(123,1)}
        98:{1,3,4,6,7}:{(71,1),(72,1),(77,1),(82,1),(117,1),(118,1),(124,1)}
        99:{2,3,4,6}:{(73,1),(74,1),(119,1),(120,1)}
       100:{1,2,4,5,6}:{(74,1),(76,1),(116,1),(119,1),(121,1),(143,1)}
       101:{1,2,4,7}:{(74,1),(75,1),(77,1),(120,1)}
       102:{1,3,4,5,7}:{(76,1),(77,1),(118,1),(121,1),(122,1),(147,1)}
       103:{3,4,6}:{(78,1),(79,1),(123,1)}
       104:{1,2,4,5,6}:{(79,1),(81,1),(83,1),(87,1),(116,1),(123,1),(125,1),(128,1),(143,1)}
       105:{1,2,4,6,7}:{(79,1),(80,1),(82,1),(84,1),(124,1),(125,1),(149,1),(153,1)}
       106:{1,4,5,7}:{(81,1),(82,1),(85,1),(118,1)}
       107:{2,4,5,7}:{(83,1),(84,1),(85,1),(89,1)}
       108:{3,4,5,6,7}:{(85,1),(126,1),(127,1),(148,1)}
       109:{1,3,5,6}:{(86,1),(87,1),(123,1),(128,1),(129,1)}
       110:{1,3,4,6,7}:{(86,1),(88,1),(91,1),(124,1),(129,1),(131,1),(149,1)}
       111:{1,2,5,7}:{(87,1),(88,1),(89,1),(129,1)}
       112:{2,3,5,6,7}:{(89,1),(93,1),(127,1),(130,1),(148,1)}
       113:{1,3,5,7}:{(90,1),(91,1),(92,1),(131,1)}
       114:{1,2,4,6,7}:{(92,1),(93,1),(130,1),(131,1),(149,1)}
       115:{2,3,4,6}:{(94,1),(95,1),(103,1),(132,1)}
       116:{1,2,5,6}:{(95,1),(97,1),(132,1),(134,1)}
       117:{1,2,4,6,7}:{(95,1),(96,1),(98,1),(101,1),(133,1),(134,1)}
       118:{1,3,5,7}:{(97,1),(98,1),(106,1),(134,1),(139,1)}
       119:{2,3,5,6}:{(99,1),(100,1),(136,1)}
       120:{2,3,4,7}:{(99,1),(101,1),(136,1)}
       121:{1,2,4,5,7}:{(100,1),(101,1),(102,1),(134,1),(136,1),(137,1),(150,1)}
       122:{1,3,4,6,7}:{(102,1),(135,1),(137,1),(152,1)}
       123:{3,5,6}:{(103,1),(104,1),(139,1)}
       124:{3,4,6,7}:{(103,1),(105,1),(139,1)}
       125:{1,2,4,5,7}:{(104,1),(105,1),(106,1),(107,1),(111,1),(134,1),(139,1),(141,1),(150,1)}
       126:{1,4,5,6,7}:{(106,1),(108,1),(135,1)}
       127:{2,4,5,6,7}:{(107,1),(108,1),(112,1)}
       128:{1,4,5,6}:{(109,1),(138,1),(141,1)}
       129:{1,3,5,7}:{(109,1),(110,1),(111,1),(139,1),(141,1)}
       130:{1,2,5,6,7}:{(111,1),(112,1),(114,1),(142,1)}
       131:{1,3,6,7}:{(113,1),(114,1)}
       132:{2,3,5,6}:{(115,1),(116,1),(123,1),(143,1),(144,1)}
       133:{2,3,4,6,7}:{(115,1),(117,1),(120,1),(124,1),(144,1),(146,1),(153,1)}
       134:{1,2,5,7}:{(116,1),(117,1),(118,1),(144,1)}
       135:{1,3,5,6,7}:{(118,1),(122,1),(126,1),(145,1),(148,1)}
       136:{2,3,5,7}:{(119,1),(120,1),(121,1),(146,1)}
       137:{1,2,4,6,7}:{(121,1),(122,1),(145,1),(146,1),(153,1)}
       138:{3,4,5,6}:{(123,1),(128,1),(143,1),(147,1)}
       139:{3,5,7}:{(123,1),(124,1),(125,1)}
       140:{1,2,4,5,6,7}:{(125,1),(126,1),(127,1),(130,1),(145,1),(148,1),(149,1),(153,1)}
       141:{1,4,5,7}:{(128,1),(129,1),(147,1),(149,1)}
       142:{1,3,5,6,7}:{(129,1),(130,1),(131,1),(148,1),(149,1)}
       143:{2,4,5,6}:{(132,1),(138,1),(150,1)}
       144:{2,3,5,7}:{(132,1),(133,1),(134,1),(139,1),(150,1)}
       145:{1,2,5,6,7}:{(134,1),(135,1),(137,1),(151,1)}
       146:{2,3,6,7}:{(136,1),(137,1)}
       147:{3,4,5,7}:{(138,1),(139,1),(141,1),(150,1),(152,1)}
       148:{3,5,6,7}:{(139,1),(140,1),(152,1)}
       149:{1,4,6,7}:{(141,1),(142,1),(152,1)}
       150:{2,4,5,7}:{(143,1),(144,1),(147,1),(153,1)}
       151:{2,3,5,6,7}:{(144,1),(145,1),(146,1),(148,1),(153,1)}
       152:{3,4,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       153:{2,4,6,7}:{(150,1),(151,1),(152,1)}

2322 :   0:{1,3,4,5,6}:{(2,1),(3,1),(55,1),(104,1),(142,1)}
         1:{3,4,5,6,7}:{(5,1),(6,1),(29,1),(147,1)}
         2:{1,3,4,5,7}:{(0,1),(8,1),(9,1),(78,1),(81,1),(128,1)}
         3:{1,2,4,5,6}:{(0,1),(9,1),(10,1),(34,1),(125,1),(130,1)}
         4:{2,3,4,5,6}:{(11,1),(12,1),(91,1),(104,1),(151,1)}
         5:{1,4,5,6,7}:{(1,1),(13,1),(141,1)}
         6:{2,4,5,6,7}:{(1,1),(14,1),(150,1)}
         7:{2,3,4,5,6}:{(16,1),(17,1),(22,1),(110,1),(152,1)}
         8:{1,3,4,6,7}:{(2,1),(13,1),(20,1),(51,1)}
         9:{1,2,4,5,7}:{(2,1),(3,1),(20,1),(21,1),(57,1),(102,1),(108,1)}
        10:{2,3,5,6}:{(3,1),(21,1),(22,1)}
        11:{2,3,4,5,7}:{(4,1),(24,1),(25,1),(78,1),(113,1),(144,1)}
        12:{1,2,4,5,6}:{(4,1),(25,1),(26,1),(66,1),(126,1),(146,1)}
        13:{1,3,5,6,7}:{(5,1),(8,1),(27,1),(29,1),(128,1)}
        14:{2,3,5,6,7}:{(6,1),(24,1),(28,1),(29,1),(144,1)}
        15:{1,2,4,5,6,7}:{(5,1),(6,1),(27,1),(28,1),(29,1),(76,1),(77,1),(123,1)}
        16:{2,3,4,5,7}:{(7,1),(30,1),(31,1),(38,1),(86,1),(147,1)}
        17:{1,2,4,5,6}:{(7,1),(31,1),(32,1),(34,1),(130,1),(149,1)}
        18:{1,2,3,5,6}:{(10,1),(32,1),(33,1),(34,1),(36,1),(85,1),(130,1)}
        19:{1,2,3,4,6}:{(34,1),(35,1),(36,1),(85,1)}
        20:{1,2,4,6,7}:{(8,1),(9,1),(27,1),(37,1),(76,1)}
        21:{2,3,5,7}:{(9,1),(10,1),(37,1),(38,1)}
        22:{2,3,4,6}:{(10,1),(34,1),(38,1),(39,1)}
        23:{1,3,4,5,6}:{(40,1),(41,1),(46,1),(136,1),(152,1)}
        24:{2,3,4,6,7}:{(11,1),(14,1),(44,1),(51,1)}
        25:{1,2,4,5,7}:{(11,1),(12,1),(44,1),(45,1),(93,1),(103,1),(134,1)}
        26:{1,3,5,6}:{(12,1),(45,1),(46,1)}
        27:{1,2,5,6,7}:{(13,1),(20,1),(49,1),(108,1)}
        28:{1,2,5,6,7}:{(14,1),(44,1),(50,1),(134,1)}
        29:{3,5,6,7}:{(15,1),(51,1),(138,1)}
        30:{2,3,4,6,7}:{(16,1),(52,1),(53,1),(137,1)}
        31:{1,2,4,5,7}:{(16,1),(17,1),(53,1),(54,1),(57,1),(108,1),(141,1)}
        32:{1,3,5,6}:{(17,1),(54,1),(55,1)}
        33:{1,2,3,5,7}:{(18,1),(21,1),(54,1),(56,1),(57,1),(108,1)}
        34:{1,2,4,6}:{(18,1),(22,1),(55,1),(57,1),(58,1)}
        35:{1,2,3,4,7}:{(19,1),(57,1),(59,1)}
        36:{1,2,3,5}:{(19,1),(58,1)}
        37:{2,3,6,7}:{(20,1),(21,1)}
        38:{2,3,4,7}:{(21,1),(22,1),(57,1)}
        39:{2,3,4,5}:{(22,1),(58,1)}
        40:{1,3,4,5,7}:{(23,1),(62,1),(63,1),(70,1),(118,1),(147,1)}
        41:{1,2,4,5,6}:{(23,1),(63,1),(64,1),(66,1),(146,1),(153,1)}
        42:{1,2,3,5,6}:{(26,1),(64,1),(65,1),(66,1),(68,1),(117,1),(146,1)}
        43:{1,2,3,4,6}:{(66,1),(67,1),(68,1),(117,1)}
        44:{1,2,4,6,7}:{(24,1),(25,1),(28,1),(69,1),(77,1)}
        45:{1,3,5,7}:{(25,1),(26,1),(69,1),(70,1)}
        46:{1,3,4,6}:{(26,1),(66,1),(70,1),(71,1)}
        47:{3,4,5,6,7}:{(72,1),(73,1),(78,1),(120,1)}
        48:{1,2,3,4,6,7}:{(35,1),(67,1),(75,1),(83,1),(85,1),(115,1),(117,1),(121,1),(124,1)}
        49:{2,3,5,6,7}:{(27,1),(29,1),(37,1),(76,1),(86,1)}
        50:{1,3,5,6,7}:{(28,1),(29,1),(69,1),(77,1),(118,1)}
        51:{3,4,6,7}:{(29,1),(76,1),(77,1),(78,1)}
        52:{2,3,5,6,7}:{(30,1),(73,1),(79,1),(86,1),(120,1)}
        53:{1,2,4,6,7}:{(30,1),(31,1),(79,1),(80,1),(127,1)}
        54:{1,3,5,7}:{(31,1),(32,1),(80,1),(81,1)}
        55:{1,3,4,6}:{(32,1),(34,1),(81,1),(82,1)}
        56:{1,2,3,6,7}:{(33,1),(37,1),(80,1),(83,1),(85,1)}
        57:{1,2,4,7}:{(33,1),(34,1),(38,1),(81,1)}
        58:{1,2,4,5}:{(34,1),(36,1),(39,1),(82,1)}
        59:{1,2,3,5,7}:{(35,1),(36,1),(84,1),(85,1)}
        60:{2,3,4,6,7}:{(37,1),(38,1),(76,1),(83,1),(86,1),(87,1),(121,1)}
        61:{2,3,4,5,7}:{(38,1),(39,1),(84,1),(86,1),(87,1),(122,1)}
        62:{1,3,4,6,7}:{(40,1),(88,1),(89,1),(137,1)}
        63:{1,2,4,5,7}:{(40,1),(41,1),(89,1),(90,1),(93,1),(134,1),(150,1)}
        64:{2,3,5,6}:{(41,1),(90,1),(91,1)}
        65:{1,2,3,5,7}:{(42,1),(45,1),(90,1),(92,1),(93,1),(134,1)}
        66:{1,2,4,6}:{(42,1),(46,1),(91,1),(93,1),(94,1)}
        67:{1,2,3,4,7}:{(43,1),(93,1),(95,1)}
        68:{1,2,3,5}:{(43,1),(94,1)}
        69:{1,3,6,7}:{(44,1),(45,1)}
        70:{1,3,4,7}:{(45,1),(46,1),(93,1)}
        71:{1,3,4,5}:{(46,1),(94,1)}
        72:{1,4,5,6,7}:{(47,1),(88,1),(103,1)}
        73:{2,4,5,6,7}:{(47,1),(52,1),(102,1)}
        74:{1,2,3,5,6,7}:{(49,1),(50,1),(56,1),(92,1),(99,1),(101,1),(105,1),(108,1),(131,1),(134,1),(138,1)}
        75:{1,2,3,5,7}:{(48,1),(100,1),(101,1),(108,1),(134,1),(138,1)}
        76:{2,4,6,7}:{(49,1),(51,1),(102,1)}
        77:{1,4,6,7}:{(50,1),(51,1),(103,1)}
        78:{3,4,5,7}:{(51,1),(102,1),(103,1),(104,1),(138,1)}
        79:{1,2,5,6,7}:{(52,1),(53,1),(105,1),(108,1)}
        80:{1,3,6,7}:{(53,1),(54,1)}
        81:{1,3,4,7}:{(54,1),(55,1),(57,1)}
        82:{1,3,4,5}:{(55,1),(58,1)}
        83:{1,2,4,6,7}:{(56,1),(57,1),(60,1),(106,1),(108,1),(109,1)}
        84:{1,2,4,5,7}:{(57,1),(58,1),(59,1),(61,1),(107,1),(108,1),(109,1)}
        85:{1,2,3,6}:{(59,1),(109,1)}
        86:{2,3,5,7}:{(60,1),(102,1),(108,1),(110,1),(138,1)}
        87:{2,3,4,6}:{(61,1),(109,1),(110,1),(139,1)}
        88:{1,3,5,6,7}:{(62,1),(72,1),(111,1),(118,1),(120,1)}
        89:{1,2,4,6,7}:{(62,1),(63,1),(111,1),(112,1),(143,1)}
        90:{2,3,5,7}:{(63,1),(64,1),(112,1),(113,1)}
        91:{2,3,4,6}:{(64,1),(66,1),(113,1),(114,1)}
        92:{1,2,3,6,7}:{(65,1),(69,1),(112,1),(115,1),(117,1)}
        93:{1,2,4,7}:{(65,1),(66,1),(70,1),(113,1)}
        94:{1,2,4,5}:{(66,1),(68,1),(71,1),(114,1)}
        95:{1,2,3,5,7}:{(67,1),(68,1),(116,1),(117,1)}
        96:{1,3,4,6,7}:{(69,1),(70,1),(77,1),(115,1),(118,1),(119,1),(121,1)}
        97:{1,3,4,5,7}:{(70,1),(71,1),(116,1),(118,1),(119,1),(122,1)}
        98:{1,2,4,5,6,7}:{(72,1),(73,1),(79,1),(111,1),(120,1),(123,1),(127,1),(143,1)}
        99:{1,2,4,6,7}:{(74,1),(76,1),(77,1),(121,1),(123,1),(124,1),(127,1),(143,1)}
       100:{1,2,4,5,7}:{(75,1),(122,1),(124,1)}
       101:{1,2,3,5,6}:{(75,1),(85,1),(117,1),(124,1),(130,1),(146,1),(148,1)}
       102:{2,4,5,7}:{(76,1),(78,1),(86,1),(125,1)}
       103:{1,4,5,7}:{(77,1),(78,1),(118,1),(126,1)}
       104:{3,4,5,6}:{(78,1),(125,1),(126,1),(148,1)}
       105:{1,3,5,6,7}:{(79,1),(80,1),(120,1),(127,1),(128,1)}
       106:{1,3,4,6,7}:{(80,1),(81,1),(83,1),(121,1),(127,1),(128,1),(129,1)}
       107:{1,3,4,5,7}:{(81,1),(82,1),(84,1),(122,1),(128,1),(129,1)}
       108:{1,2,5,7}:{(83,1),(86,1),(128,1),(130,1)}
       109:{1,2,4,6}:{(84,1),(85,1),(87,1),(129,1),(130,1)}
       110:{2,3,5,6}:{(86,1),(87,1),(125,1),(130,1),(148,1)}
       111:{1,2,5,6,7}:{(88,1),(89,1),(131,1),(134,1)}
       112:{2,3,6,7}:{(89,1),(90,1)}
       113:{2,3,4,7}:{(90,1),(91,1),(93,1)}
       114:{2,3,4,5}:{(91,1),(94,1)}
       115:{1,2,4,6,7}:{(92,1),(93,1),(96,1),(132,1),(134,1),(135,1)}
       116:{1,2,4,5,7}:{(93,1),(94,1),(95,1),(97,1),(133,1),(134,1),(135,1)}
       117:{1,2,3,6}:{(95,1),(135,1)}
       118:{1,3,5,7}:{(96,1),(103,1),(134,1),(136,1),(138,1)}
       119:{1,3,4,6}:{(97,1),(135,1),(136,1),(139,1)}
       120:{3,5,6,7}:{(98,1),(137,1),(138,1)}
       121:{3,4,6,7}:{(99,1),(138,1),(139,1)}
       122:{3,4,5,7}:{(100,1),(138,1),(139,1)}
       123:{1,2,4,5,7}:{(99,1),(102,1),(103,1),(108,1),(134,1),(138,1),(140,1),(141,1),(150,1)}
       124:{1,2,4,6}:{(100,1),(101,1),(139,1)}
       125:{2,4,5,6}:{(102,1),(104,1),(110,1)}
       126:{1,4,5,6}:{(103,1),(104,1),(136,1)}
       127:{1,4,6,7}:{(105,1),(137,1),(141,1)}
       128:{1,3,5,7}:{(106,1),(108,1),(138,1),(141,1),(142,1)}
       129:{1,3,4,6}:{(107,1),(109,1),(139,1),(142,1)}
       130:{1,2,5,6}:{(108,1),(109,1),(110,1),(142,1)}
       131:{2,3,5,6,7}:{(111,1),(112,1),(120,1),(143,1),(144,1)}
       132:{2,3,4,6,7}:{(112,1),(113,1),(115,1),(121,1),(143,1),(144,1),(145,1)}
       133:{2,3,4,5,7}:{(113,1),(114,1),(116,1),(122,1),(144,1),(145,1)}
       134:{1,2,5,7}:{(115,1),(118,1),(144,1),(146,1)}
       135:{1,2,4,6}:{(116,1),(117,1),(119,1),(145,1),(146,1)}
       136:{1,3,5,6}:{(118,1),(119,1),(126,1),(146,1),(148,1)}
       137:{3,4,6,7}:{(120,1),(127,1),(143,1),(147,1)}
       138:{3,5,7}:{(121,1),(123,1),(148,1)}
       139:{3,4,6}:{(122,1),(124,1),(148,1)}
       140:{1,2,4,5,6}:{(123,1),(124,1),(125,1),(126,1),(130,1),(146,1),(148,1),(149,1),(153,1)}
       141:{1,4,5,7}:{(127,1),(128,1),(147,1),(149,1)}
       142:{1,3,5,6}:{(128,1),(129,1),(130,1),(148,1),(149,1)}
       143:{2,4,6,7}:{(131,1),(137,1),(150,1)}
       144:{2,3,5,7}:{(132,1),(134,1),(138,1),(150,1),(151,1)}
       145:{2,3,4,6}:{(133,1),(135,1),(139,1),(151,1)}
       146:{1,2,5,6}:{(134,1),(135,1),(136,1),(151,1)}
       147:{3,4,5,7}:{(137,1),(138,1),(141,1),(150,1),(152,1)}
       148:{3,5,6}:{(138,1),(139,1),(140,1)}
       149:{1,4,5,6}:{(141,1),(142,1),(152,1)}
       150:{2,4,5,7}:{(143,1),(144,1),(147,1),(153,1)}
       151:{2,3,5,6}:{(144,1),(145,1),(146,1),(148,1),(153,1)}
       152:{3,4,5,6}:{(147,1),(148,1),(149,1),(153,1)}
       153:{2,4,5,6}:{(150,1),(151,1),(152,1)}

2323 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{1,3,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{1,3,4,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,2,4,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{1,3,4,5,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,4,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,2,4,5,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{1,3,4,5,6}:{(6,1),(12,1),(27,1)}
       10:{1,2,3,4,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,3,5,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6}:{(8,1),(9,1),(16,1),(23,1)}
       13:{1,3,4,5,6,7}:{(9,1),(17,1),(32,1)}
       14:{1,2,3,5,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,5,7}:{(11,1),(18,1),(20,1)}
       16:{2,3,5,6}:{(11,1),(12,1),(20,1)}
       17:{1,2,4,5,6,7}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,2,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(14,1),(16,1),(23,1),(31,1)}
       20:{2,3,4,6}:{(15,1),(16,1),(23,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(26,1)}
       22:{1,3,4,5,7}:{(18,1),(27,1),(34,1)}
       23:{1,2,4,6}:{(18,1),(19,1),(20,1),(27,1)}
       24:{1,2,3,5,6,7}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,6}:{(20,1),(28,1),(30,1)}
       26:{2,3,4,6,7}:{(20,1),(21,1),(29,1),(30,1)}
       27:{1,3,4,6}:{(22,1),(23,1),(31,1)}
       28:{1,2,4,5,6}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,5,7}:{(25,1),(26,1),(33,1)}
       31:{1,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{1,3,4,6,7}:{(27,1),(29,1),(34,1)}
       33:{1,2,4,5,7}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,3,5,7}:{(31,1),(32,1),(33,1)}

2324 :  0:{1,2,3,4,5}:{(2,1)}
        1:{1,2,3,4,5,7}:{(0,1),(4,1),(5,1),(16,1),(42,1),(55,1)}
        2:{1,2,3,4,6}:{(0,1),(3,1),(5,1)}
        3:{1,2,3,5,6}:{(2,1),(7,1),(8,1)}
        4:{1,2,3,4,6}:{(1,1),(9,1)}
        5:{1,2,3,4,7}:{(2,1),(8,1)}
        6:{1,3,4,5,6}:{(7,1),(11,1),(21,1)}
        7:{1,2,4,5,6}:{(3,1),(6,1),(12,1),(13,1)}
        8:{1,2,3,5,7}:{(3,1),(5,1),(13,1),(14,1)}
        9:{1,2,3,5,6}:{(4,1),(15,1),(16,1)}
       10:{1,2,3,4,6,7}:{(4,1),(5,1),(14,1),(16,1),(26,1),(54,1),(55,1)}
       11:{1,3,4,5,7}:{(6,1),(13,1),(17,1),(29,1)}
       12:{2,3,4,5,6}:{(7,1),(18,1),(21,1)}
       13:{1,2,4,5,7}:{(7,1),(8,1),(11,1),(18,1),(19,1)}
       14:{1,2,3,6,7}:{(8,1),(19,1)}
       15:{1,2,4,5,6}:{(9,1),(21,1),(22,1)}
       16:{1,2,3,5,7}:{(9,1),(10,1),(22,1)}
       17:{1,3,4,6,7}:{(11,1),(19,1),(23,1),(33,1)}
       18:{2,3,4,5,7}:{(12,1),(13,1),(24,1),(29,1)}
       19:{1,2,4,6,7}:{(13,1),(14,1),(17,1),(24,1),(25,1)}
       20:{1,2,3,5,6,7}:{(14,1),(16,1),(25,1),(26,1),(39,1),(53,1),(54,1)}
       21:{3,4,5,6}:{(15,1),(29,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(29,1)}
       23:{1,3,5,6,7}:{(17,1),(25,1),(30,1),(39,1)}
       24:{2,3,4,6,7}:{(18,1),(19,1),(31,1),(33,1)}
       25:{1,2,5,6,7}:{(19,1),(23,1),(31,1)}
       26:{1,2,4,6,7}:{(20,1),(22,1),(33,1)}
       27:{2,3,4,5,6}:{(21,1),(34,1),(35,1)}
       28:{1,3,4,5,6}:{(21,1),(34,1),(36,1)}
       29:{3,4,5,7}:{(21,1),(22,1),(33,1)}
       30:{1,4,5,6,7}:{(23,1),(37,1)}
       31:{2,3,5,6,7}:{(24,1),(25,1),(38,1),(39,1)}
       32:{1,2,4,5,6,7}:{(25,1),(26,1),(30,1),(38,1),(39,1),(45,1),(52,1),(53,1)}
       33:{3,4,6,7}:{(26,1),(29,1),(39,1)}
       34:{1,2,4,5,6}:{(27,1),(28,1),(43,1),(44,1)}
       35:{2,3,4,5,7}:{(27,1),(29,1),(40,1),(44,1)}
       36:{1,3,4,5,7}:{(28,1),(29,1),(41,1),(44,1)}
       37:{3,4,5,6,7}:{(30,1),(39,1),(45,1)}
       38:{2,4,5,6,7}:{(31,1),(46,1)}
       39:{3,5,6,7}:{(32,1),(33,1)}
       40:{2,3,4,6,7}:{(33,1),(35,1),(47,1),(49,1)}
       41:{1,3,4,6,7}:{(33,1),(36,1),(48,1),(49,1)}
       42:{1,2,3,4,5}:{(50,1)}
       43:{1,2,3,5,6}:{(34,1),(50,1),(51,1)}
       44:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(49,1),(51,1)}
       45:{2,4,5,6,7}:{(37,1),(47,1)}
       46:{3,4,5,6,7}:{(38,1),(39,1),(52,1)}
       47:{2,3,5,6,7}:{(39,1),(40,1),(45,1),(53,1)}
       48:{1,3,5,6,7}:{(39,1),(41,1),(52,1),(53,1)}
       49:{1,2,4,6,7}:{(40,1),(41,1),(44,1),(53,1),(54,1)}
       50:{1,2,3,4,6}:{(42,1),(43,1),(55,1)}
       51:{1,2,3,5,7}:{(43,1),(44,1),(54,1),(55,1)}
       52:{1,4,5,6,7}:{(46,1),(48,1)}
       53:{1,2,5,6,7}:{(47,1),(48,1),(49,1)}
       54:{1,2,3,6,7}:{(49,1),(51,1)}
       55:{1,2,3,4,7}:{(50,1),(51,1)}

2325 :  0:{1,3,4,5,6,7}:{(1,1),(9,1),(30,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(6,1),(33,1)}
        2:{2,3,5,6,7}:{(1,1),(4,1),(34,1)}
        3:{1,2,3,5,6,7}:{(2,1),(6,1),(14,1),(23,1)}
        4:{2,3,4,6,7}:{(2,1),(6,1),(7,1),(32,1)}
        5:{2,3,4,5,6,7}:{(8,1),(11,1),(26,1)}
        6:{1,2,4,6,7}:{(3,1),(4,1),(9,1),(10,1),(29,1)}
        7:{2,3,4,5,7}:{(4,1),(10,1),(11,1)}
        8:{1,2,4,5,6,7}:{(5,1),(13,1),(15,1),(21,1)}
        9:{1,3,4,6,7}:{(6,1),(14,1),(25,1)}
       10:{1,2,4,5,7}:{(6,1),(7,1),(14,1),(15,1)}
       11:{2,3,4,5,6}:{(7,1),(15,1),(32,1)}
       12:{1,2,3,4,6,7}:{(9,1),(17,1),(26,1),(29,1)}
       13:{1,3,5,6,7}:{(8,1),(18,1),(20,1)}
       14:{1,3,5,7}:{(9,1),(10,1),(20,1)}
       15:{1,2,4,5,6}:{(10,1),(11,1),(20,1),(29,1)}
       16:{1,2,3,5,6,7}:{(13,1),(21,1),(23,1),(31,1)}
       17:{1,2,3,5,7}:{(12,1),(14,1),(22,1),(23,1),(31,1)}
       18:{1,3,4,6,7}:{(13,1),(21,1),(24,1),(25,1)}
       19:{1,3,4,5,7}:{(14,1),(22,1),(25,1)}
       20:{1,3,5,6}:{(14,1),(15,1),(25,1)}
       21:{1,2,4,6,7}:{(16,1),(18,1),(26,1),(28,1),(29,1)}
       22:{1,2,4,5,7}:{(17,1),(19,1),(27,1),(29,1)}
       23:{1,2,3,5,6}:{(17,1),(20,1),(29,1),(34,1)}
       24:{1,3,4,5,7}:{(18,1),(28,1),(30,1)}
       25:{1,3,4,6}:{(19,1),(20,1),(29,1)}
       26:{2,3,4,6,7}:{(21,1),(31,1),(32,1)}
       27:{2,3,4,5,7}:{(22,1),(31,1),(32,1)}
       28:{1,2,4,5,7}:{(21,1),(24,1),(31,1),(33,1)}
       29:{1,2,4,6}:{(22,1),(23,1),(25,1),(32,1)}
       30:{1,3,4,5,6}:{(24,1),(25,1),(33,1)}
       31:{2,3,5,7}:{(26,1),(28,1),(34,1)}
       32:{2,3,4,6}:{(27,1),(29,1),(34,1)}
       33:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,3,5,6}:{(31,1),(32,1),(33,1)}

2326 :   0:{2,3,4,5,6}:{(2,1),(3,1),(44,1),(90,1),(108,1)}
         1:{1,2,3,4,6}:{(5,1),(6,1),(31,1),(32,1)}
         2:{1,2,4,5,6}:{(0,1),(9,1),(10,1),(32,1),(80,1),(84,1)}
         3:{2,3,4,5,7}:{(0,1),(7,1),(10,1),(66,1),(115,1),(131,1)}
         4:{1,3,4,5,6}:{(11,1),(12,1),(21,1),(59,1),(133,1)}
         5:{1,2,3,4,7}:{(1,1),(14,1),(55,1)}
         6:{1,2,3,5}:{(1,1),(15,1)}
         7:{2,3,4,6,7}:{(3,1),(18,1),(20,1),(109,1)}
         8:{1,3,4,5}:{(15,1),(21,1)}
         9:{1,3,5,6}:{(2,1),(21,1),(22,1)}
        10:{1,2,4,5,7}:{(2,1),(3,1),(20,1),(22,1),(55,1),(106,1),(110,1)}
        11:{1,2,4,5,6}:{(4,1),(25,1),(26,1),(32,1),(80,1),(113,1)}
        12:{1,3,4,5,7}:{(4,1),(23,1),(26,1),(39,1),(86,1),(147,1)}
        13:{1,2,3,4,6,7}:{(5,1),(29,1),(31,1),(67,1),(78,1),(81,1),(117,1),(127,1),(149,1)}
        14:{1,2,3,5,7}:{(5,1),(6,1),(30,1),(31,1)}
        15:{1,2,4,5}:{(6,1),(8,1),(24,1),(32,1)}
        16:{1,2,3,5,6}:{(6,1),(9,1),(25,1),(31,1),(32,1),(33,1),(80,1)}
        17:{3,4,5,6,7}:{(34,1),(35,1),(83,1),(147,1)}
        18:{2,3,5,6,7}:{(7,1),(34,1),(36,1),(83,1),(115,1)}
        19:{1,3,4,5,7}:{(8,1),(30,1),(37,1),(39,1),(77,1),(86,1)}
        20:{1,2,4,6,7}:{(7,1),(10,1),(36,1),(38,1),(85,1)}
        21:{1,3,4,6}:{(8,1),(9,1),(32,1),(39,1)}
        22:{1,3,5,7}:{(9,1),(10,1),(38,1),(39,1)}
        23:{1,3,4,6,7}:{(12,1),(41,1),(43,1),(134,1)}
        24:{2,3,4,5}:{(15,1),(44,1)}
        25:{2,3,5,6}:{(11,1),(44,1),(45,1)}
        26:{1,2,4,5,7}:{(11,1),(12,1),(43,1),(45,1),(55,1),(106,1),(135,1)}
        27:{1,3,4,5,6}:{(47,1),(48,1),(101,1),(108,1),(141,1)}
        28:{2,3,4,5,6}:{(49,1),(50,1),(97,1),(133,1),(139,1)}
        29:{1,2,3,5,7}:{(13,1),(51,1),(52,1),(106,1),(143,1),(153,1)}
        30:{1,2,4,5,7}:{(14,1),(15,1),(19,1),(42,1),(53,1),(55,1),(106,1)}
        31:{1,2,3,6}:{(14,1),(53,1)}
        32:{1,2,4,6}:{(15,1),(16,1),(21,1),(44,1),(55,1)}
        33:{1,2,3,5,7}:{(16,1),(22,1),(45,1),(54,1),(55,1),(106,1)}
        34:{2,4,5,6,7}:{(17,1),(18,1),(135,1)}
        35:{1,4,5,6,7}:{(17,1),(56,1),(152,1)}
        36:{1,2,5,6,7}:{(18,1),(20,1),(58,1),(106,1)}
        37:{1,3,4,6}:{(19,1),(53,1),(59,1),(103,1)}
        38:{1,3,6,7}:{(20,1),(22,1)}
        39:{1,3,4,7}:{(21,1),(22,1),(55,1)}
        40:{3,4,5,6,7}:{(61,1),(62,1),(112,1),(131,1)}
        41:{1,3,5,6,7}:{(23,1),(62,1),(63,1),(86,1),(112,1)}
        42:{2,3,4,5,7}:{(24,1),(30,1),(64,1),(66,1),(77,1),(115,1)}
        43:{1,2,4,6,7}:{(23,1),(26,1),(63,1),(65,1),(114,1)}
        44:{2,3,4,6}:{(24,1),(25,1),(32,1),(66,1)}
        45:{2,3,5,7}:{(25,1),(26,1),(65,1),(66,1)}
        46:{1,2,3,4,6}:{(67,1),(68,1),(117,1),(118,1)}
        47:{1,2,4,5,6}:{(27,1),(71,1),(72,1),(118,1),(129,1),(148,1)}
        48:{1,3,4,5,7}:{(27,1),(69,1),(72,1),(125,1),(131,1),(151,1)}
        49:{1,2,4,5,6}:{(28,1),(75,1),(76,1),(118,1),(145,1),(148,1)}
        50:{2,3,4,5,7}:{(28,1),(73,1),(76,1),(122,1),(147,1),(150,1)}
        51:{1,2,4,5,7}:{(29,1),(77,1),(78,1)}
        52:{1,2,3,5,6}:{(29,1),(31,1),(78,1),(80,1),(117,1),(126,1),(148,1)}
        53:{1,2,4,6}:{(30,1),(31,1),(37,1),(64,1),(80,1)}
        54:{1,2,3,6,7}:{(31,1),(33,1),(38,1),(65,1),(81,1)}
        55:{1,2,4,7}:{(32,1),(33,1),(39,1),(66,1)}
        56:{1,3,5,6,7}:{(35,1),(69,1),(82,1),(83,1),(151,1)}
        57:{1,2,4,5,6,7}:{(34,1),(35,1),(36,1),(82,1),(83,1),(85,1),(128,1),(130,1)}
        58:{1,3,5,6,7}:{(36,1),(38,1),(83,1),(85,1),(86,1)}
        59:{1,3,5,6}:{(37,1),(80,1),(84,1),(86,1),(126,1)}
        60:{1,3,4,6,7}:{(37,1),(38,1),(39,1),(81,1),(85,1),(86,1),(127,1)}
        61:{2,4,5,6,7}:{(40,1),(87,1),(144,1)}
        62:{1,4,5,6,7}:{(40,1),(41,1),(110,1)}
        63:{1,2,5,6,7}:{(41,1),(43,1),(89,1),(106,1)}
        64:{2,3,4,6}:{(42,1),(53,1),(90,1),(103,1)}
        65:{2,3,6,7}:{(43,1),(45,1)}
        66:{2,3,4,7}:{(44,1),(45,1),(55,1)}
        67:{1,2,3,4,7}:{(46,1),(92,1),(138,1)}
        68:{1,2,3,5}:{(46,1),(93,1)}
        69:{1,3,4,6,7}:{(48,1),(56,1),(96,1),(109,1)}
        70:{2,3,4,5}:{(93,1),(97,1)}
        71:{2,3,5,6}:{(47,1),(97,1),(98,1)}
        72:{1,2,4,5,7}:{(47,1),(48,1),(96,1),(98,1),(138,1),(144,1),(153,1)}
        73:{2,3,4,6,7}:{(50,1),(87,1),(100,1),(134,1)}
        74:{1,3,4,5}:{(93,1),(101,1)}
        75:{1,3,5,6}:{(49,1),(101,1),(102,1)}
        76:{1,2,4,5,7}:{(49,1),(50,1),(100,1),(102,1),(138,1),(152,1),(153,1)}
        77:{3,4,5,7}:{(51,1),(103,1),(143,1)}
        78:{1,2,4,6}:{(51,1),(52,1),(103,1)}
        79:{1,2,3,5,6,7}:{(52,1),(54,1),(58,1),(89,1),(105,1),(106,1),(107,1),(132,1),(137,1),(143,1),(153,1)}
        80:{1,2,5,6}:{(53,1),(59,1),(90,1),(106,1)}
        81:{1,2,4,6,7}:{(53,1),(54,1),(55,1),(60,1),(91,1),(106,1)}
        82:{1,2,5,6,7}:{(56,1),(96,1),(107,1),(153,1)}
        83:{3,5,6,7}:{(57,1),(109,1),(143,1)}
        84:{1,4,5,6}:{(59,1),(108,1),(110,1)}
        85:{1,4,6,7}:{(58,1),(109,1),(110,1)}
        86:{1,3,5,7}:{(59,1),(60,1),(106,1),(110,1),(143,1)}
        87:{2,3,5,6,7}:{(61,1),(73,1),(111,1),(112,1),(150,1)}
        88:{1,2,4,5,6,7}:{(61,1),(62,1),(63,1),(111,1),(112,1),(114,1),(128,1),(146,1)}
        89:{2,3,5,6,7}:{(63,1),(65,1),(112,1),(114,1),(115,1)}
        90:{2,3,5,6}:{(64,1),(80,1),(113,1),(115,1),(126,1)}
        91:{2,3,4,6,7}:{(64,1),(65,1),(66,1),(81,1),(114,1),(115,1),(127,1)}
        92:{1,2,3,5,7}:{(67,1),(68,1),(116,1),(117,1)}
        93:{1,2,4,5}:{(68,1),(70,1),(74,1),(118,1)}
        94:{1,2,3,5,6}:{(68,1),(71,1),(75,1),(117,1),(118,1),(119,1),(148,1)}
        95:{2,3,4,5,7}:{(70,1),(77,1),(116,1),(120,1),(122,1),(150,1)}
        96:{1,2,4,6,7}:{(69,1),(72,1),(82,1),(121,1),(130,1)}
        97:{2,3,4,6}:{(70,1),(71,1),(118,1),(122,1)}
        98:{2,3,5,7}:{(71,1),(72,1),(121,1),(122,1)}
        99:{1,3,4,5,7}:{(74,1),(77,1),(116,1),(123,1),(125,1),(151,1)}
       100:{1,2,4,6,7}:{(73,1),(76,1),(111,1),(124,1),(146,1)}
       101:{1,3,4,6}:{(74,1),(75,1),(118,1),(125,1)}
       102:{1,3,5,7}:{(75,1),(76,1),(124,1),(125,1)}
       103:{3,4,6}:{(77,1),(78,1),(126,1)}
       104:{1,2,4,5,6}:{(78,1),(80,1),(84,1),(113,1),(126,1),(128,1),(129,1),(145,1),(148,1)}
       105:{1,2,4,6,7}:{(78,1),(79,1),(85,1),(114,1),(127,1),(128,1),(130,1),(146,1)}
       106:{1,2,5,7}:{(80,1),(81,1),(86,1),(115,1)}
       107:{2,3,5,6,7}:{(82,1),(83,1),(121,1),(130,1),(150,1)}
       108:{3,4,5,6}:{(84,1),(126,1),(129,1),(131,1)}
       109:{3,4,6,7}:{(83,1),(85,1),(130,1),(131,1)}
       110:{1,4,5,7}:{(84,1),(85,1),(86,1),(131,1)}
       111:{1,2,5,6,7}:{(87,1),(100,1),(132,1),(153,1)}
       112:{3,5,6,7}:{(88,1),(134,1),(143,1)}
       113:{2,4,5,6}:{(90,1),(133,1),(135,1)}
       114:{2,4,6,7}:{(89,1),(134,1),(135,1)}
       115:{2,3,5,7}:{(90,1),(91,1),(106,1),(135,1),(143,1)}
       116:{1,2,4,5,7}:{(92,1),(93,1),(95,1),(99,1),(136,1),(138,1),(153,1)}
       117:{1,2,3,6}:{(92,1),(136,1)}
       118:{1,2,4,6}:{(93,1),(94,1),(97,1),(101,1),(138,1)}
       119:{1,2,3,5,7}:{(94,1),(98,1),(102,1),(137,1),(138,1),(153,1)}
       120:{2,3,4,6}:{(95,1),(103,1),(136,1),(139,1)}
       121:{2,3,6,7}:{(96,1),(98,1)}
       122:{2,3,4,7}:{(97,1),(98,1),(138,1)}
       123:{1,3,4,6}:{(99,1),(103,1),(136,1),(141,1)}
       124:{1,3,6,7}:{(100,1),(102,1)}
       125:{1,3,4,7}:{(101,1),(102,1),(138,1)}
       126:{3,5,6}:{(103,1),(104,1),(143,1)}
       127:{3,4,6,7}:{(103,1),(105,1),(143,1)}
       128:{1,2,4,5,7}:{(104,1),(105,1),(106,1),(110,1),(135,1),(143,1),(144,1),(152,1),(153,1)}
       129:{2,4,5,6}:{(108,1),(139,1),(144,1)}
       130:{2,4,6,7}:{(107,1),(109,1),(144,1)}
       131:{3,4,5,7}:{(108,1),(109,1),(110,1),(143,1),(144,1)}
       132:{1,3,5,6,7}:{(111,1),(112,1),(124,1),(146,1),(151,1)}
       133:{3,4,5,6}:{(113,1),(126,1),(145,1),(147,1)}
       134:{3,4,6,7}:{(112,1),(114,1),(146,1),(147,1)}
       135:{2,4,5,7}:{(113,1),(114,1),(115,1),(147,1)}
       136:{1,2,4,6}:{(116,1),(117,1),(120,1),(123,1),(148,1)}
       137:{1,2,3,6,7}:{(117,1),(119,1),(121,1),(124,1),(149,1)}
       138:{1,2,4,7}:{(118,1),(119,1),(122,1),(125,1)}
       139:{2,3,5,6}:{(120,1),(126,1),(129,1),(148,1),(150,1)}
       140:{2,3,4,6,7}:{(120,1),(121,1),(122,1),(127,1),(130,1),(149,1),(150,1)}
       141:{1,3,5,6}:{(123,1),(126,1),(145,1),(148,1),(151,1)}
       142:{1,3,4,6,7}:{(123,1),(124,1),(125,1),(127,1),(146,1),(149,1),(151,1)}
       143:{3,5,7}:{(126,1),(127,1),(128,1)}
       144:{2,4,5,7}:{(129,1),(130,1),(131,1),(150,1)}
       145:{1,4,5,6}:{(133,1),(141,1),(152,1)}
       146:{1,4,6,7}:{(132,1),(134,1),(152,1)}
       147:{3,4,5,7}:{(133,1),(134,1),(135,1),(143,1),(152,1)}
       148:{1,2,5,6}:{(136,1),(139,1),(141,1),(153,1)}
       149:{1,2,4,6,7}:{(136,1),(137,1),(138,1),(140,1),(142,1),(153,1)}
       150:{2,3,5,7}:{(139,1),(140,1),(143,1),(144,1),(153,1)}
       151:{1,3,5,7}:{(141,1),(142,1),(143,1),(152,1),(153,1)}
       152:{1,4,5,7}:{(145,1),(146,1),(147,1),(151,1)}
       153:{1,2,5,7}:{(148,1),(149,1),(150,1),(151,1)}

2327 :   0:{2,3,4,5,6}:{(3,1),(4,1),(58,1),(65,1),(109,1)}
         1:{3,4,5,6,7}:{(6,1),(7,1),(37,1),(147,1)}
         2:{1,2,3,4,6}:{(8,1),(10,1),(39,1),(43,1)}
         3:{1,2,4,5,6}:{(0,1),(12,1),(13,1),(43,1),(81,1),(87,1)}
         4:{2,3,4,5,7}:{(0,1),(9,1),(13,1),(85,1),(91,1),(129,1)}
         5:{1,3,4,5,6}:{(15,1),(16,1),(58,1),(99,1),(132,1)}
         6:{2,4,5,6,7}:{(1,1),(18,1),(141,1)}
         7:{1,4,5,6,7}:{(1,1),(19,1),(150,1)}
         8:{1,2,3,4,7}:{(2,1),(21,1),(67,1)}
         9:{2,3,4,6,7}:{(4,1),(18,1),(23,1),(59,1)}
        10:{1,2,3,5}:{(2,1),(24,1)}
        11:{1,3,4,5}:{(24,1),(26,1)}
        12:{1,3,5,6}:{(3,1),(26,1),(27,1)}
        13:{1,2,4,5,7}:{(3,1),(4,1),(23,1),(27,1),(67,1),(106,1),(111,1)}
        14:{1,2,3,4,6}:{(28,1),(30,1),(70,1),(74,1)}
        15:{1,2,4,5,6}:{(5,1),(32,1),(33,1),(74,1),(83,1),(116,1)}
        16:{1,3,4,5,7}:{(5,1),(29,1),(33,1),(85,1),(120,1),(144,1)}
        17:{1,2,3,4,6,7}:{(8,1),(28,1),(34,1),(39,1),(70,1),(79,1),(88,1),(117,1),(124,1)}
        18:{2,3,5,6,7}:{(6,1),(9,1),(35,1),(37,1),(129,1)}
        19:{1,3,5,6,7}:{(7,1),(29,1),(36,1),(37,1),(144,1)}
        20:{1,2,4,5,6,7}:{(6,1),(7,1),(35,1),(36,1),(37,1),(82,1),(84,1),(125,1)}
        21:{1,2,3,5,7}:{(8,1),(10,1),(38,1),(39,1)}
        22:{1,3,4,5,7}:{(11,1),(38,1),(40,1),(46,1),(78,1),(89,1)}
        23:{1,2,4,6,7}:{(9,1),(13,1),(35,1),(41,1),(82,1)}
        24:{1,2,4,5}:{(10,1),(11,1),(42,1),(43,1)}
        25:{1,2,3,5,6}:{(10,1),(12,1),(39,1),(43,1),(44,1),(87,1),(90,1)}
        26:{1,3,4,6}:{(11,1),(12,1),(43,1),(46,1)}
        27:{1,3,5,7}:{(12,1),(13,1),(41,1),(46,1)}
        28:{1,2,3,4,7}:{(14,1),(47,1),(101,1)}
        29:{1,3,4,6,7}:{(16,1),(19,1),(49,1),(59,1)}
        30:{1,2,3,5}:{(14,1),(50,1)}
        31:{2,3,4,5}:{(50,1),(52,1)}
        32:{2,3,5,6}:{(15,1),(52,1),(53,1)}
        33:{1,2,4,5,7}:{(15,1),(16,1),(49,1),(53,1),(101,1),(107,1),(134,1)}
        34:{1,2,3,5,7}:{(17,1),(54,1),(55,1),(111,1),(134,1),(139,1)}
        35:{1,2,5,6,7}:{(18,1),(23,1),(56,1),(111,1)}
        36:{1,2,5,6,7}:{(19,1),(49,1),(57,1),(134,1)}
        37:{3,5,6,7}:{(20,1),(59,1),(139,1)}
        38:{1,2,4,5,7}:{(21,1),(22,1),(24,1),(60,1),(61,1),(67,1),(111,1)}
        39:{1,2,3,6}:{(21,1),(61,1)}
        40:{1,3,4,6}:{(22,1),(61,1),(63,1),(103,1)}
        41:{1,3,6,7}:{(23,1),(27,1)}
        42:{2,3,4,5}:{(24,1),(65,1)}
        43:{1,2,4,6}:{(24,1),(25,1),(26,1),(65,1),(67,1)}
        44:{1,2,3,5,7}:{(25,1),(27,1),(62,1),(67,1),(111,1),(113,1)}
        45:{1,3,4,5,6}:{(26,1),(63,1),(66,1),(68,1),(138,1)}
        46:{1,3,4,7}:{(26,1),(27,1),(67,1)}
        47:{1,2,3,5,7}:{(28,1),(30,1),(69,1),(70,1)}
        48:{2,3,4,5,7}:{(31,1),(69,1),(71,1),(77,1),(78,1),(118,1)}
        49:{1,2,4,6,7}:{(29,1),(33,1),(36,1),(72,1),(84,1)}
        50:{1,2,4,5}:{(30,1),(31,1),(73,1),(74,1)}
        51:{1,2,3,5,6}:{(30,1),(32,1),(70,1),(74,1),(75,1),(116,1),(119,1)}
        52:{2,3,4,6}:{(31,1),(32,1),(74,1),(77,1)}
        53:{2,3,5,7}:{(32,1),(33,1),(72,1),(77,1)}
        54:{1,2,4,5,7}:{(34,1),(78,1),(79,1)}
        55:{1,2,3,5,6}:{(34,1),(39,1),(70,1),(79,1),(87,1),(116,1),(123,1)}
        56:{1,3,5,6,7}:{(35,1),(37,1),(41,1),(82,1),(89,1)}
        57:{2,3,5,6,7}:{(36,1),(37,1),(72,1),(84,1),(118,1)}
        58:{3,4,5,6}:{(81,1),(83,1),(85,1),(123,1)}
        59:{3,4,6,7}:{(37,1),(82,1),(84,1),(85,1)}
        60:{2,3,4,5,7}:{(38,1),(42,1),(78,1),(86,1),(91,1),(129,1)}
        61:{1,2,4,6}:{(38,1),(39,1),(40,1),(86,1),(87,1)}
        62:{1,2,3,6,7}:{(39,1),(41,1),(44,1),(88,1),(131,1)}
        63:{1,3,5,6}:{(40,1),(81,1),(87,1),(89,1),(123,1)}
        64:{1,3,4,6,7}:{(40,1),(41,1),(46,1),(82,1),(88,1),(89,1),(124,1)}
        65:{2,3,4,6}:{(42,1),(43,1),(90,1),(91,1)}
        66:{1,2,4,5,6}:{(43,1),(45,1),(87,1),(90,1),(92,1),(128,1)}
        67:{1,2,4,7}:{(43,1),(44,1),(46,1),(91,1)}
        68:{1,3,4,5,7}:{(45,1),(46,1),(89,1),(92,1),(93,1),(147,1)}
        69:{1,2,4,5,7}:{(47,1),(48,1),(50,1),(94,1),(95,1),(101,1),(134,1)}
        70:{1,2,3,6}:{(47,1),(95,1)}
        71:{2,3,4,6}:{(48,1),(95,1),(97,1),(103,1)}
        72:{2,3,6,7}:{(49,1),(53,1)}
        73:{1,3,4,5}:{(50,1),(99,1)}
        74:{1,2,4,6}:{(50,1),(51,1),(52,1),(99,1),(101,1)}
        75:{1,2,3,5,7}:{(51,1),(53,1),(96,1),(101,1),(134,1),(136,1)}
        76:{2,3,4,5,6}:{(52,1),(97,1),(100,1),(102,1),(138,1)}
        77:{2,3,4,7}:{(52,1),(53,1),(101,1)}
        78:{3,4,5,7}:{(54,1),(103,1),(139,1)}
        79:{1,2,4,6}:{(54,1),(55,1),(103,1)}
        80:{1,2,3,5,6,7}:{(55,1),(56,1),(57,1),(62,1),(96,1),(105,1),(111,1),(134,1),(139,1),(142,1),(151,1)}
        81:{1,4,5,6}:{(58,1),(63,1),(106,1)}
        82:{1,4,6,7}:{(56,1),(59,1),(106,1)}
        83:{2,4,5,6}:{(58,1),(97,1),(107,1)}
        84:{2,4,6,7}:{(57,1),(59,1),(107,1)}
        85:{3,4,5,7}:{(58,1),(59,1),(106,1),(107,1),(139,1)}
        86:{2,3,4,6}:{(60,1),(61,1),(103,1),(109,1)}
        87:{1,2,5,6}:{(61,1),(63,1),(109,1),(111,1)}
        88:{1,2,4,6,7}:{(61,1),(62,1),(64,1),(67,1),(110,1),(111,1)}
        89:{1,3,5,7}:{(63,1),(64,1),(106,1),(111,1),(139,1)}
        90:{2,3,5,6}:{(65,1),(66,1),(113,1)}
        91:{2,3,4,7}:{(65,1),(67,1),(113,1)}
        92:{1,2,4,5,7}:{(66,1),(67,1),(68,1),(111,1),(113,1),(114,1),(141,1)}
        93:{1,3,4,6,7}:{(68,1),(112,1),(114,1),(152,1)}
        94:{1,3,4,5,7}:{(69,1),(73,1),(78,1),(115,1),(120,1),(144,1)}
        95:{1,2,4,6}:{(69,1),(70,1),(71,1),(115,1),(116,1)}
        96:{1,2,3,6,7}:{(70,1),(72,1),(75,1),(117,1),(146,1)}
        97:{2,3,5,6}:{(71,1),(83,1),(116,1),(118,1),(123,1)}
        98:{2,3,4,6,7}:{(71,1),(72,1),(77,1),(84,1),(117,1),(118,1),(124,1)}
        99:{1,3,4,6}:{(73,1),(74,1),(119,1),(120,1)}
       100:{1,2,4,5,6}:{(74,1),(76,1),(116,1),(119,1),(121,1),(143,1)}
       101:{1,2,4,7}:{(74,1),(75,1),(77,1),(120,1)}
       102:{2,3,4,5,7}:{(76,1),(77,1),(118,1),(121,1),(122,1),(147,1)}
       103:{3,4,6}:{(78,1),(79,1),(123,1)}
       104:{1,2,4,5,6}:{(79,1),(81,1),(83,1),(87,1),(116,1),(123,1),(125,1),(128,1),(143,1)}
       105:{1,2,4,6,7}:{(79,1),(80,1),(82,1),(84,1),(124,1),(125,1),(149,1),(153,1)}
       106:{1,4,5,7}:{(81,1),(82,1),(85,1),(89,1)}
       107:{2,4,5,7}:{(83,1),(84,1),(85,1),(118,1)}
       108:{3,4,5,6,7}:{(85,1),(126,1),(127,1),(148,1)}
       109:{2,3,5,6}:{(86,1),(87,1),(123,1),(128,1),(129,1)}
       110:{2,3,4,6,7}:{(86,1),(88,1),(91,1),(124,1),(129,1),(131,1),(149,1)}
       111:{1,2,5,7}:{(87,1),(88,1),(89,1),(129,1)}
       112:{1,3,5,6,7}:{(89,1),(93,1),(126,1),(130,1),(148,1)}
       113:{2,3,5,7}:{(90,1),(91,1),(92,1),(131,1)}
       114:{1,2,4,6,7}:{(92,1),(93,1),(130,1),(131,1),(149,1)}
       115:{1,3,4,6}:{(94,1),(95,1),(103,1),(132,1)}
       116:{1,2,5,6}:{(95,1),(97,1),(132,1),(134,1)}
       117:{1,2,4,6,7}:{(95,1),(96,1),(98,1),(101,1),(133,1),(134,1)}
       118:{2,3,5,7}:{(97,1),(98,1),(107,1),(134,1),(139,1)}
       119:{1,3,5,6}:{(99,1),(100,1),(136,1)}
       120:{1,3,4,7}:{(99,1),(101,1),(136,1)}
       121:{1,2,4,5,7}:{(100,1),(101,1),(102,1),(134,1),(136,1),(137,1),(150,1)}
       122:{2,3,4,6,7}:{(102,1),(135,1),(137,1),(152,1)}
       123:{3,5,6}:{(103,1),(104,1),(139,1)}
       124:{3,4,6,7}:{(103,1),(105,1),(139,1)}
       125:{1,2,4,5,7}:{(104,1),(105,1),(106,1),(107,1),(111,1),(134,1),(139,1),(141,1),(150,1)}
       126:{1,4,5,6,7}:{(106,1),(108,1),(112,1)}
       127:{2,4,5,6,7}:{(107,1),(108,1),(135,1)}
       128:{2,4,5,6}:{(109,1),(138,1),(141,1)}
       129:{2,3,5,7}:{(109,1),(110,1),(111,1),(139,1),(141,1)}
       130:{1,2,5,6,7}:{(111,1),(112,1),(114,1),(142,1)}
       131:{2,3,6,7}:{(113,1),(114,1)}
       132:{1,3,5,6}:{(115,1),(116,1),(123,1),(143,1),(144,1)}
       133:{1,3,4,6,7}:{(115,1),(117,1),(120,1),(124,1),(144,1),(146,1),(153,1)}
       134:{1,2,5,7}:{(116,1),(117,1),(118,1),(144,1)}
       135:{2,3,5,6,7}:{(118,1),(122,1),(127,1),(145,1),(148,1)}
       136:{1,3,5,7}:{(119,1),(120,1),(121,1),(146,1)}
       137:{1,2,4,6,7}:{(121,1),(122,1),(145,1),(146,1),(153,1)}
       138:{3,4,5,6}:{(123,1),(128,1),(143,1),(147,1)}
       139:{3,5,7}:{(123,1),(124,1),(125,1)}
       140:{1,2,4,5,6,7}:{(125,1),(126,1),(127,1),(130,1),(145,1),(148,1),(149,1),(153,1)}
       141:{2,4,5,7}:{(128,1),(129,1),(147,1),(149,1)}
       142:{2,3,5,6,7}:{(129,1),(130,1),(131,1),(148,1),(149,1)}
       143:{1,4,5,6}:{(132,1),(138,1),(150,1)}
       144:{1,3,5,7}:{(132,1),(133,1),(134,1),(139,1),(150,1)}
       145:{1,2,5,6,7}:{(134,1),(135,1),(137,1),(151,1)}
       146:{1,3,6,7}:{(136,1),(137,1)}
       147:{3,4,5,7}:{(138,1),(139,1),(141,1),(150,1),(152,1)}
       148:{3,5,6,7}:{(139,1),(140,1),(152,1)}
       149:{2,4,6,7}:{(141,1),(142,1),(152,1)}
       150:{1,4,5,7}:{(143,1),(144,1),(147,1),(153,1)}
       151:{1,3,5,6,7}:{(144,1),(145,1),(146,1),(148,1),(153,1)}
       152:{3,4,6,7}:{(147,1),(148,1),(149,1),(153,1)}
       153:{1,4,6,7}:{(150,1),(151,1),(152,1)}

2328 :   0:{2,3,4,5,6}:{(2,1),(3,1),(55,1),(104,1),(142,1)}
         1:{3,4,5,6,7}:{(5,1),(6,1),(29,1),(147,1)}
         2:{2,3,4,5,7}:{(0,1),(8,1),(9,1),(78,1),(81,1),(128,1)}
         3:{1,2,4,5,6}:{(0,1),(9,1),(10,1),(34,1),(126,1),(130,1)}
         4:{1,3,4,5,6}:{(11,1),(12,1),(91,1),(104,1),(151,1)}
         5:{1,4,5,6,7}:{(1,1),(13,1),(150,1)}
         6:{2,4,5,6,7}:{(1,1),(14,1),(141,1)}
         7:{1,3,4,5,6}:{(16,1),(17,1),(22,1),(110,1),(152,1)}
         8:{2,3,4,6,7}:{(2,1),(14,1),(20,1),(51,1)}
         9:{1,2,4,5,7}:{(2,1),(3,1),(20,1),(21,1),(57,1),(103,1),(108,1)}
        10:{1,3,5,6}:{(3,1),(21,1),(22,1)}
        11:{1,3,4,5,7}:{(4,1),(24,1),(25,1),(78,1),(113,1),(144,1)}
        12:{1,2,4,5,6}:{(4,1),(25,1),(26,1),(66,1),(125,1),(146,1)}
        13:{1,3,5,6,7}:{(5,1),(24,1),(27,1),(29,1),(144,1)}
        14:{2,3,5,6,7}:{(6,1),(8,1),(28,1),(29,1),(128,1)}
        15:{1,2,4,5,6,7}:{(5,1),(6,1),(27,1),(28,1),(29,1),(76,1),(77,1),(123,1)}
        16:{1,3,4,5,7}:{(7,1),(30,1),(31,1),(38,1),(86,1),(147,1)}
        17:{1,2,4,5,6}:{(7,1),(31,1),(32,1),(34,1),(130,1),(149,1)}
        18:{1,2,3,5,6}:{(10,1),(32,1),(33,1),(34,1),(36,1),(85,1),(130,1)}
        19:{1,2,3,4,6}:{(34,1),(35,1),(36,1),(85,1)}
        20:{1,2,4,6,7}:{(8,1),(9,1),(28,1),(37,1),(77,1)}
        21:{1,3,5,7}:{(9,1),(10,1),(37,1),(38,1)}
        22:{1,3,4,6}:{(10,1),(34,1),(38,1),(39,1)}
        23:{2,3,4,5,6}:{(40,1),(41,1),(46,1),(136,1),(152,1)}
        24:{1,3,4,6,7}:{(11,1),(13,1),(44,1),(51,1)}
        25:{1,2,4,5,7}:{(11,1),(12,1),(44,1),(45,1),(93,1),(102,1),(134,1)}
        26:{2,3,5,6}:{(12,1),(45,1),(46,1)}
        27:{1,2,5,6,7}:{(13,1),(44,1),(49,1),(134,1)}
        28:{1,2,5,6,7}:{(14,1),(20,1),(50,1),(108,1)}
        29:{3,5,6,7}:{(15,1),(51,1),(138,1)}
        30:{1,3,4,6,7}:{(16,1),(52,1),(53,1),(137,1)}
        31:{1,2,4,5,7}:{(16,1),(17,1),(53,1),(54,1),(57,1),(108,1),(141,1)}
        32:{2,3,5,6}:{(17,1),(54,1),(55,1)}
        33:{1,2,3,5,7}:{(18,1),(21,1),(54,1),(56,1),(57,1),(108,1)}
        34:{1,2,4,6}:{(18,1),(22,1),(55,1),(57,1),(58,1)}
        35:{1,2,3,4,7}:{(19,1),(57,1),(59,1)}
        36:{1,2,3,5}:{(19,1),(58,1)}
        37:{1,3,6,7}:{(20,1),(21,1)}
        38:{1,3,4,7}:{(21,1),(22,1),(57,1)}
        39:{1,3,4,5}:{(22,1),(58,1)}
        40:{2,3,4,5,7}:{(23,1),(62,1),(63,1),(70,1),(118,1),(147,1)}
        41:{1,2,4,5,6}:{(23,1),(63,1),(64,1),(66,1),(146,1),(153,1)}
        42:{1,2,3,5,6}:{(26,1),(64,1),(65,1),(66,1),(68,1),(117,1),(146,1)}
        43:{1,2,3,4,6}:{(66,1),(67,1),(68,1),(117,1)}
        44:{1,2,4,6,7}:{(24,1),(25,1),(27,1),(69,1),(76,1)}
        45:{2,3,5,7}:{(25,1),(26,1),(69,1),(70,1)}
        46:{2,3,4,6}:{(26,1),(66,1),(70,1),(71,1)}
        47:{3,4,5,6,7}:{(72,1),(73,1),(78,1),(120,1)}
        48:{1,2,3,4,6,7}:{(35,1),(67,1),(75,1),(83,1),(85,1),(115,1),(117,1),(121,1),(124,1)}
        49:{2,3,5,6,7}:{(27,1),(29,1),(69,1),(76,1),(118,1)}
        50:{1,3,5,6,7}:{(28,1),(29,1),(37,1),(77,1),(86,1)}
        51:{3,4,6,7}:{(29,1),(76,1),(77,1),(78,1)}
        52:{1,3,5,6,7}:{(30,1),(72,1),(79,1),(86,1),(120,1)}
        53:{1,2,4,6,7}:{(30,1),(31,1),(79,1),(80,1),(127,1)}
        54:{2,3,5,7}:{(31,1),(32,1),(80,1),(81,1)}
        55:{2,3,4,6}:{(32,1),(34,1),(81,1),(82,1)}
        56:{1,2,3,6,7}:{(33,1),(37,1),(80,1),(83,1),(85,1)}
        57:{1,2,4,7}:{(33,1),(34,1),(38,1),(81,1)}
        58:{1,2,4,5}:{(34,1),(36,1),(39,1),(82,1)}
        59:{1,2,3,5,7}:{(35,1),(36,1),(84,1),(85,1)}
        60:{1,3,4,6,7}:{(37,1),(38,1),(77,1),(83,1),(86,1),(87,1),(121,1)}
        61:{1,3,4,5,7}:{(38,1),(39,1),(84,1),(86,1),(87,1),(122,1)}
        62:{2,3,4,6,7}:{(40,1),(88,1),(89,1),(137,1)}
        63:{1,2,4,5,7}:{(40,1),(41,1),(89,1),(90,1),(93,1),(134,1),(150,1)}
        64:{1,3,5,6}:{(41,1),(90,1),(91,1)}
        65:{1,2,3,5,7}:{(42,1),(45,1),(90,1),(92,1),(93,1),(134,1)}
        66:{1,2,4,6}:{(42,1),(46,1),(91,1),(93,1),(94,1)}
        67:{1,2,3,4,7}:{(43,1),(93,1),(95,1)}
        68:{1,2,3,5}:{(43,1),(94,1)}
        69:{2,3,6,7}:{(44,1),(45,1)}
        70:{2,3,4,7}:{(45,1),(46,1),(93,1)}
        71:{2,3,4,5}:{(46,1),(94,1)}
        72:{1,4,5,6,7}:{(47,1),(52,1),(103,1)}
        73:{2,4,5,6,7}:{(47,1),(88,1),(102,1)}
        74:{1,2,3,5,6,7}:{(49,1),(50,1),(56,1),(92,1),(99,1),(101,1),(105,1),(108,1),(131,1),(134,1),(138,1)}
        75:{1,2,3,5,7}:{(48,1),(100,1),(101,1),(108,1),(134,1),(138,1)}
        76:{2,4,6,7}:{(49,1),(51,1),(102,1)}
        77:{1,4,6,7}:{(50,1),(51,1),(103,1)}
        78:{3,4,5,7}:{(51,1),(102,1),(103,1),(104,1),(138,1)}
        79:{1,2,5,6,7}:{(52,1),(53,1),(105,1),(108,1)}
        80:{2,3,6,7}:{(53,1),(54,1)}
        81:{2,3,4,7}:{(54,1),(55,1),(57,1)}
        82:{2,3,4,5}:{(55,1),(58,1)}
        83:{1,2,4,6,7}:{(56,1),(57,1),(60,1),(106,1),(108,1),(109,1)}
        84:{1,2,4,5,7}:{(57,1),(58,1),(59,1),(61,1),(107,1),(108,1),(109,1)}
        85:{1,2,3,6}:{(59,1),(109,1)}
        86:{1,3,5,7}:{(60,1),(103,1),(108,1),(110,1),(138,1)}
        87:{1,3,4,6}:{(61,1),(109,1),(110,1),(139,1)}
        88:{2,3,5,6,7}:{(62,1),(73,1),(111,1),(118,1),(120,1)}
        89:{1,2,4,6,7}:{(62,1),(63,1),(111,1),(112,1),(143,1)}
        90:{1,3,5,7}:{(63,1),(64,1),(112,1),(113,1)}
        91:{1,3,4,6}:{(64,1),(66,1),(113,1),(114,1)}
        92:{1,2,3,6,7}:{(65,1),(69,1),(112,1),(115,1),(117,1)}
        93:{1,2,4,7}:{(65,1),(66,1),(70,1),(113,1)}
        94:{1,2,4,5}:{(66,1),(68,1),(71,1),(114,1)}
        95:{1,2,3,5,7}:{(67,1),(68,1),(116,1),(117,1)}
        96:{2,3,4,6,7}:{(69,1),(70,1),(76,1),(115,1),(118,1),(119,1),(121,1)}
        97:{2,3,4,5,7}:{(70,1),(71,1),(116,1),(118,1),(119,1),(122,1)}
        98:{1,2,4,5,6,7}:{(72,1),(73,1),(79,1),(111,1),(120,1),(123,1),(127,1),(143,1)}
        99:{1,2,4,6,7}:{(74,1),(76,1),(77,1),(121,1),(123,1),(124,1),(127,1),(143,1)}
       100:{1,2,4,5,7}:{(75,1),(122,1),(124,1)}
       101:{1,2,3,5,6}:{(75,1),(85,1),(117,1),(124,1),(130,1),(146,1),(148,1)}
       102:{2,4,5,7}:{(76,1),(78,1),(118,1),(125,1)}
       103:{1,4,5,7}:{(77,1),(78,1),(86,1),(126,1)}
       104:{3,4,5,6}:{(78,1),(125,1),(126,1),(148,1)}
       105:{2,3,5,6,7}:{(79,1),(80,1),(120,1),(127,1),(128,1)}
       106:{2,3,4,6,7}:{(80,1),(81,1),(83,1),(121,1),(127,1),(128,1),(129,1)}
       107:{2,3,4,5,7}:{(81,1),(82,1),(84,1),(122,1),(128,1),(129,1)}
       108:{1,2,5,7}:{(83,1),(86,1),(128,1),(130,1)}
       109:{1,2,4,6}:{(84,1),(85,1),(87,1),(129,1),(130,1)}
       110:{1,3,5,6}:{(86,1),(87,1),(126,1),(130,1),(148,1)}
       111:{1,2,5,6,7}:{(88,1),(89,1),(131,1),(134,1)}
       112:{1,3,6,7}:{(89,1),(90,1)}
       113:{1,3,4,7}:{(90,1),(91,1),(93,1)}
       114:{1,3,4,5}:{(91,1),(94,1)}
       115:{1,2,4,6,7}:{(92,1),(93,1),(96,1),(132,1),(134,1),(135,1)}
       116:{1,2,4,5,7}:{(93,1),(94,1),(95,1),(97,1),(133,1),(134,1),(135,1)}
       117:{1,2,3,6}:{(95,1),(135,1)}
       118:{2,3,5,7}:{(96,1),(102,1),(134,1),(136,1),(138,1)}
       119:{2,3,4,6}:{(97,1),(135,1),(136,1),(139,1)}
       120:{3,5,6,7}:{(98,1),(137,1),(138,1)}
       121:{3,4,6,7}:{(99,1),(138,1),(139,1)}
       122:{3,4,5,7}:{(100,1),(138,1),(139,1)}
       123:{1,2,4,5,7}:{(99,1),(102,1),(103,1),(108,1),(134,1),(138,1),(140,1),(141,1),(150,1)}
       124:{1,2,4,6}:{(100,1),(101,1),(139,1)}
       125:{2,4,5,6}:{(102,1),(104,1),(136,1)}
       126:{1,4,5,6}:{(103,1),(104,1),(110,1)}
       127:{2,4,6,7}:{(105,1),(137,1),(141,1)}
       128:{2,3,5,7}:{(106,1),(108,1),(138,1),(141,1),(142,1)}
       129:{2,3,4,6}:{(107,1),(109,1),(139,1),(142,1)}
       130:{1,2,5,6}:{(108,1),(109,1),(110,1),(142,1)}
       131:{1,3,5,6,7}:{(111,1),(112,1),(120,1),(143,1),(144,1)}
       132:{1,3,4,6,7}:{(112,1),(113,1),(115,1),(121,1),(143,1),(144,1),(145,1)}
       133:{1,3,4,5,7}:{(113,1),(114,1),(116,1),(122,1),(144,1),(145,1)}
       134:{1,2,5,7}:{(115,1),(118,1),(144,1),(146,1)}
       135:{1,2,4,6}:{(116,1),(117,1),(119,1),(145,1),(146,1)}
       136:{2,3,5,6}:{(118,1),(119,1),(125,1),(146,1),(148,1)}
       137:{3,4,6,7}:{(120,1),(127,1),(143,1),(147,1)}
       138:{3,5,7}:{(121,1),(123,1),(148,1)}
       139:{3,4,6}:{(122,1),(124,1),(148,1)}
       140:{1,2,4,5,6}:{(123,1),(124,1),(125,1),(126,1),(130,1),(146,1),(148,1),(149,1),(153,1)}
       141:{2,4,5,7}:{(127,1),(128,1),(147,1),(149,1)}
       142:{2,3,5,6}:{(128,1),(129,1),(130,1),(148,1),(149,1)}
       143:{1,4,6,7}:{(131,1),(137,1),(150,1)}
       144:{1,3,5,7}:{(132,1),(134,1),(138,1),(150,1),(151,1)}
       145:{1,3,4,6}:{(133,1),(135,1),(139,1),(151,1)}
       146:{1,2,5,6}:{(134,1),(135,1),(136,1),(151,1)}
       147:{3,4,5,7}:{(137,1),(138,1),(141,1),(150,1),(152,1)}
       148:{3,5,6}:{(138,1),(139,1),(140,1)}
       149:{2,4,5,6}:{(141,1),(142,1),(152,1)}
       150:{1,4,5,7}:{(143,1),(144,1),(147,1),(153,1)}
       151:{1,3,5,6}:{(144,1),(145,1),(146,1),(148,1),(153,1)}
       152:{3,4,5,6}:{(147,1),(148,1),(149,1),(153,1)}
       153:{1,4,5,6}:{(150,1),(151,1),(152,1)}

2329 :  0:{1,2,3,4,6,7}:{(1,1),(4,1),(6,1),(17,1),(21,1),(41,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(32,1),(51,1)}
        2:{1,2,4,5,7}:{(1,1),(5,1),(6,1)}
        3:{1,2,3,5,6}:{(1,1),(6,1),(17,1),(20,1),(40,1)}
        4:{1,2,3,4,7}:{(8,1),(9,1),(47,1)}
        5:{3,4,5,7}:{(2,1),(12,1),(32,1)}
        6:{1,2,4,6}:{(2,1),(3,1),(12,1)}
        7:{1,2,3,5,6,7}:{(3,1),(14,1),(27,1),(32,1),(51,1),(52,1),(53,1)}
        8:{1,2,3,4,6}:{(4,1),(15,1),(17,1),(35,1)}
        9:{1,2,3,5,7}:{(4,1),(15,1),(16,1),(17,1)}
       10:{1,3,4,5,7}:{(5,1),(16,1),(18,1),(34,1),(42,1),(55,1)}
       11:{2,3,4,5,7}:{(5,1),(16,1),(19,1),(34,1),(43,1),(55,1)}
       12:{3,4,6}:{(5,1),(6,1),(20,1)}
       13:{1,2,4,5,6}:{(6,1),(20,1),(22,1),(37,1),(38,1),(40,1)}
       14:{1,2,4,6,7}:{(6,1),(7,1),(21,1),(22,1),(57,1),(58,1)}
       15:{1,2,3,5}:{(8,1),(23,1)}
       16:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(23,1),(26,1),(47,1),(51,1)}
       17:{1,2,3,6}:{(9,1),(26,1)}
       18:{1,3,4,6}:{(10,1),(12,1),(26,1),(28,1),(45,1)}
       19:{2,3,4,6}:{(11,1),(12,1),(26,1),(30,1),(45,1)}
       20:{3,5,6}:{(12,1),(13,1),(32,1)}
       21:{3,4,6,7}:{(12,1),(14,1),(32,1)}
       22:{1,2,4,5,7}:{(13,1),(14,1),(32,1),(48,1),(49,1),(51,1)}
       23:{1,2,4,5}:{(15,1),(34,1),(35,1)}
       24:{1,2,3,5,6}:{(15,1),(17,1),(35,1),(36,1),(40,1),(54,1)}
       25:{3,4,5,6}:{(20,1),(37,1),(38,1),(39,1),(54,1)}
       26:{1,2,4,6}:{(16,1),(17,1),(18,1),(19,1),(40,1)}
       27:{1,2,3,6,7}:{(17,1),(36,1),(41,1),(62,1)}
       28:{1,3,5,6}:{(18,1),(20,1),(37,1),(40,1),(42,1),(54,1)}
       29:{1,3,4,6,7}:{(18,1),(21,1),(41,1),(42,1),(55,1),(57,1),(62,1)}
       30:{2,3,5,6}:{(19,1),(20,1),(38,1),(40,1),(43,1),(54,1)}
       31:{2,3,4,6,7}:{(19,1),(21,1),(41,1),(43,1),(55,1),(58,1),(62,1)}
       32:{3,5,7}:{(20,1),(21,1),(22,1)}
       33:{1,2,4,5,6,7}:{(22,1),(44,1),(57,1),(58,1),(59,1)}
       34:{3,4,5}:{(23,1),(45,1)}
       35:{1,2,4,6}:{(23,1),(24,1),(45,1),(47,1)}
       36:{1,2,3,5,7}:{(24,1),(27,1),(47,1),(51,1),(60,1)}
       37:{1,4,5,6}:{(25,1),(28,1),(48,1)}
       38:{2,4,5,6}:{(25,1),(30,1),(49,1)}
       39:{3,4,5,7}:{(25,1),(32,1),(48,1),(49,1),(50,1),(60,1)}
       40:{1,2,5,6}:{(26,1),(28,1),(30,1),(51,1)}
       41:{1,2,4,6,7}:{(26,1),(27,1),(29,1),(31,1),(47,1),(51,1)}
       42:{1,3,5,7}:{(28,1),(29,1),(32,1),(48,1),(51,1),(60,1)}
       43:{2,3,5,7}:{(30,1),(31,1),(32,1),(49,1),(51,1),(60,1)}
       44:{3,5,6,7}:{(32,1),(33,1),(50,1)}
       45:{3,4,6}:{(34,1),(35,1),(54,1),(55,1)}
       46:{1,2,4,5,6}:{(35,1),(37,1),(38,1),(40,1),(54,1),(56,1)}
       47:{1,2,4,7}:{(35,1),(36,1),(55,1)}
       48:{1,4,5,7}:{(37,1),(39,1),(42,1),(57,1)}
       49:{2,4,5,7}:{(38,1),(39,1),(43,1),(58,1)}
       50:{3,4,6,7}:{(39,1),(44,1),(57,1),(58,1),(62,1)}
       51:{1,2,5,7}:{(40,1),(41,1),(42,1),(43,1)}
       52:{1,3,5,6,7}:{(42,1),(44,1),(57,1),(59,1),(62,1)}
       53:{2,3,5,6,7}:{(43,1),(44,1),(58,1),(59,1),(62,1)}
       54:{3,5,6}:{(45,1),(46,1),(60,1)}
       55:{3,4,7}:{(45,1),(47,1),(60,1)}
       56:{1,2,4,5,7}:{(46,1),(47,1),(48,1),(49,1),(51,1),(60,1),(61,1)}
       57:{1,4,6,7}:{(48,1),(50,1),(52,1)}
       58:{2,4,6,7}:{(49,1),(50,1),(53,1)}
       59:{1,2,5,6,7}:{(51,1),(52,1),(53,1),(61,1)}
       60:{3,5,7}:{(54,1),(55,1),(56,1),(62,1)}
       61:{1,2,4,6,7}:{(56,1),(57,1),(58,1),(59,1),(62,1)}
       62:{3,6,7}:{(60,1),(61,1)}

2330 :  0:{1,2,3,4,6,7}:{(1,1),(5,1),(16,1),(20,1),(43,1),(44,1)}
        1:{1,2,3,5,7}:{(0,1),(2,1),(3,1),(28,1),(51,1)}
        2:{1,2,4,5,7}:{(1,1),(4,1),(5,1)}
        3:{1,2,3,5,6}:{(1,1),(5,1),(14,1),(40,1),(43,1)}
        4:{3,4,5,7}:{(2,1),(11,1),(28,1)}
        5:{1,2,4,6}:{(2,1),(3,1),(11,1)}
        6:{1,2,3,5,6,7}:{(3,1),(12,1),(23,1),(24,1),(28,1),(51,1),(52,1)}
        7:{1,2,4,5,6,7}:{(13,1),(15,1),(36,1),(37,1),(38,1)}
        8:{1,2,4,5,6}:{(5,1),(14,1),(15,1),(33,1),(34,1),(40,1)}
        9:{2,3,4,5,7}:{(4,1),(17,1),(18,1),(41,1),(53,1),(62,1)}
       10:{1,3,4,5,7}:{(4,1),(17,1),(19,1),(42,1),(53,1),(62,1)}
       11:{3,4,6}:{(4,1),(5,1),(14,1)}
       12:{1,2,4,6,7}:{(5,1),(6,1),(15,1),(20,1),(36,1),(37,1)}
       13:{3,5,6,7}:{(7,1),(22,1),(28,1)}
       14:{3,5,6}:{(8,1),(11,1),(28,1)}
       15:{1,2,4,5,7}:{(8,1),(12,1),(28,1),(46,1),(47,1),(51,1)}
       16:{1,2,3,4,7}:{(25,1),(29,1),(61,1)}
       17:{1,2,4,5,7}:{(9,1),(10,1),(29,1),(30,1),(49,1),(51,1),(61,1)}
       18:{2,3,4,6}:{(9,1),(11,1),(26,1),(30,1),(59,1)}
       19:{1,3,4,6}:{(10,1),(11,1),(27,1),(30,1),(59,1)}
       20:{3,4,6,7}:{(11,1),(12,1),(28,1)}
       21:{3,4,5,6}:{(14,1),(33,1),(34,1),(35,1),(54,1)}
       22:{3,4,6,7}:{(13,1),(35,1),(36,1),(37,1),(56,1)}
       23:{2,3,5,6,7}:{(13,1),(36,1),(38,1),(41,1),(56,1)}
       24:{1,3,5,6,7}:{(13,1),(37,1),(38,1),(42,1),(56,1)}
       25:{1,2,3,4,6}:{(16,1),(39,1),(43,1),(57,1)}
       26:{2,3,5,6}:{(14,1),(18,1),(33,1),(40,1),(41,1),(54,1)}
       27:{1,3,5,6}:{(14,1),(19,1),(34,1),(40,1),(42,1),(54,1)}
       28:{3,5,7}:{(14,1),(15,1),(20,1)}
       29:{1,2,3,5,7}:{(16,1),(17,1),(39,1),(43,1)}
       30:{1,2,4,6}:{(17,1),(18,1),(19,1),(40,1),(43,1)}
       31:{2,3,4,6,7}:{(18,1),(20,1),(36,1),(41,1),(44,1),(56,1),(62,1)}
       32:{1,3,4,6,7}:{(19,1),(20,1),(37,1),(42,1),(44,1),(56,1),(62,1)}
       33:{2,4,5,6}:{(21,1),(26,1),(46,1)}
       34:{1,4,5,6}:{(21,1),(27,1),(47,1)}
       35:{3,4,5,7}:{(21,1),(22,1),(28,1),(46,1),(47,1),(60,1)}
       36:{2,4,6,7}:{(22,1),(23,1),(46,1)}
       37:{1,4,6,7}:{(22,1),(24,1),(47,1)}
       38:{1,2,5,6,7}:{(23,1),(24,1),(48,1),(51,1)}
       39:{1,2,3,5}:{(25,1),(49,1)}
       40:{1,2,5,6}:{(26,1),(27,1),(30,1),(51,1)}
       41:{2,3,5,7}:{(26,1),(28,1),(31,1),(46,1),(51,1),(60,1)}
       42:{1,3,5,7}:{(27,1),(28,1),(32,1),(47,1),(51,1),(60,1)}
       43:{1,2,3,6}:{(29,1),(30,1)}
       44:{1,2,4,6,7}:{(30,1),(31,1),(32,1),(51,1),(52,1),(61,1)}
       45:{1,2,4,5,6}:{(33,1),(34,1),(40,1),(54,1),(55,1),(57,1)}
       46:{2,4,5,7}:{(33,1),(35,1),(36,1),(41,1)}
       47:{1,4,5,7}:{(34,1),(35,1),(37,1),(42,1)}
       48:{1,2,4,6,7}:{(36,1),(37,1),(38,1),(55,1),(56,1)}
       49:{1,2,4,5}:{(39,1),(53,1),(57,1)}
       50:{1,2,3,5,6}:{(39,1),(40,1),(43,1),(54,1),(57,1),(58,1)}
       51:{1,2,5,7}:{(40,1),(41,1),(42,1),(44,1)}
       52:{1,2,3,6,7}:{(43,1),(44,1),(56,1),(58,1)}
       53:{3,4,5}:{(49,1),(59,1)}
       54:{3,5,6}:{(45,1),(59,1),(60,1)}
       55:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(48,1),(51,1),(60,1),(61,1)}
       56:{3,6,7}:{(48,1),(60,1)}
       57:{1,2,4,6}:{(49,1),(50,1),(59,1),(61,1)}
       58:{1,2,3,5,7}:{(50,1),(51,1),(52,1),(60,1),(61,1)}
       59:{3,4,6}:{(53,1),(54,1),(57,1),(62,1)}
       60:{3,5,7}:{(54,1),(55,1),(56,1),(62,1)}
       61:{1,2,4,7}:{(57,1),(58,1),(62,1)}
       62:{3,4,7}:{(59,1),(60,1),(61,1)}

2331 :  0:{1,2,3,4,6,7}:{(2,1),(9,1),(10,1),(29,1),(49,1),(50,1)}
        1:{1,2,3,5,6,7}:{(4,1),(5,1),(13,1),(14,1),(16,1),(39,1),(40,1)}
        2:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(16,1),(39,1)}
        3:{1,2,4,5,6,7}:{(7,1),(8,1),(23,1),(24,1),(25,1)}
        4:{1,2,4,6,7}:{(1,1),(8,1),(9,1),(10,1),(23,1),(24,1)}
        5:{1,2,3,5,6}:{(2,1),(10,1),(26,1),(47,1),(49,1)}
        6:{1,2,4,5,7}:{(2,1),(10,1),(11,1)}
        7:{3,5,6,7}:{(3,1),(12,1),(16,1)}
        8:{1,2,4,5,7}:{(4,1),(15,1),(16,1),(34,1),(35,1),(39,1)}
        9:{3,4,6,7}:{(4,1),(16,1),(19,1)}
       10:{1,2,4,6}:{(5,1),(6,1),(19,1)}
       11:{3,4,5,7}:{(6,1),(16,1),(19,1)}
       12:{3,4,6,7}:{(7,1),(22,1),(23,1),(24,1),(46,1)}
       13:{1,3,5,6,7}:{(7,1),(23,1),(25,1),(27,1),(46,1)}
       14:{2,3,5,6,7}:{(7,1),(24,1),(25,1),(28,1),(46,1)}
       15:{1,2,4,5,6}:{(8,1),(10,1),(26,1),(43,1),(44,1),(47,1)}
       16:{3,5,7}:{(8,1),(9,1),(26,1)}
       17:{1,3,4,6,7}:{(9,1),(23,1),(27,1),(29,1),(30,1),(46,1),(57,1)}
       18:{2,3,4,6,7}:{(9,1),(24,1),(28,1),(29,1),(31,1),(46,1),(57,1)}
       19:{3,4,6}:{(10,1),(11,1),(26,1)}
       20:{1,3,4,5,7}:{(11,1),(27,1),(30,1),(32,1),(57,1),(62,1)}
       21:{2,3,4,5,7}:{(11,1),(28,1),(31,1),(32,1),(57,1),(62,1)}
       22:{3,4,5,7}:{(12,1),(16,1),(33,1),(34,1),(35,1),(52,1)}
       23:{1,4,6,7}:{(12,1),(13,1),(34,1)}
       24:{2,4,6,7}:{(12,1),(14,1),(35,1)}
       25:{1,2,5,6,7}:{(13,1),(14,1),(36,1),(39,1)}
       26:{3,5,6}:{(15,1),(16,1),(19,1)}
       27:{1,3,5,7}:{(16,1),(17,1),(34,1),(37,1),(39,1),(52,1)}
       28:{2,3,5,7}:{(16,1),(18,1),(35,1),(38,1),(39,1),(52,1)}
       29:{1,2,4,6,7}:{(17,1),(18,1),(39,1),(40,1),(41,1),(54,1)}
       30:{1,3,4,6}:{(19,1),(20,1),(37,1),(41,1),(60,1)}
       31:{2,3,4,6}:{(19,1),(21,1),(38,1),(41,1),(60,1)}
       32:{1,2,4,5,7}:{(20,1),(21,1),(39,1),(41,1),(42,1),(54,1),(61,1)}
       33:{3,4,5,6}:{(22,1),(26,1),(43,1),(44,1),(56,1)}
       34:{1,4,5,7}:{(22,1),(23,1),(27,1),(43,1)}
       35:{2,4,5,7}:{(22,1),(24,1),(28,1),(44,1)}
       36:{1,2,4,6,7}:{(23,1),(24,1),(25,1),(45,1),(46,1)}
       37:{1,3,5,6}:{(26,1),(27,1),(30,1),(43,1),(47,1),(56,1)}
       38:{2,3,5,6}:{(26,1),(28,1),(31,1),(44,1),(47,1),(56,1)}
       39:{1,2,5,7}:{(27,1),(28,1),(29,1),(47,1)}
       40:{1,2,3,6,7}:{(29,1),(46,1),(48,1),(49,1)}
       41:{1,2,4,6}:{(30,1),(31,1),(32,1),(47,1),(49,1)}
       42:{1,2,3,5,7}:{(32,1),(49,1),(50,1),(59,1)}
       43:{1,4,5,6}:{(33,1),(34,1),(37,1)}
       44:{2,4,5,6}:{(33,1),(35,1),(38,1)}
       45:{1,2,4,5,7}:{(34,1),(35,1),(36,1),(39,1),(51,1),(52,1),(54,1)}
       46:{3,6,7}:{(36,1),(52,1)}
       47:{1,2,5,6}:{(37,1),(38,1),(39,1),(41,1)}
       48:{1,2,3,5,7}:{(39,1),(40,1),(52,1),(53,1),(54,1)}
       49:{1,2,3,6}:{(41,1),(42,1)}
       50:{1,2,3,4,7}:{(42,1),(54,1),(55,1)}
       51:{1,2,4,5,6}:{(43,1),(44,1),(45,1),(47,1),(56,1),(58,1)}
       52:{3,5,7}:{(45,1),(46,1),(56,1),(57,1)}
       53:{1,2,3,5,6}:{(47,1),(48,1),(49,1),(56,1),(58,1),(59,1)}
       54:{1,2,4,7}:{(48,1),(57,1),(58,1)}
       55:{1,2,3,4,6}:{(49,1),(50,1),(58,1),(59,1)}
       56:{3,5,6}:{(51,1),(52,1),(60,1)}
       57:{3,4,7}:{(52,1),(54,1),(60,1)}
       58:{1,2,4,6}:{(53,1),(54,1),(60,1),(61,1)}
       59:{1,2,3,5}:{(55,1),(61,1)}
       60:{3,4,6}:{(56,1),(57,1),(58,1),(62,1)}
       61:{1,2,4,5}:{(58,1),(59,1),(62,1)}
       62:{3,4,5}:{(60,1),(61,1)}

2332 :  0:{1,3,4,5,6}:{(3,1),(6,1),(30,1),(76,1),(80,1)}
        1:{2,3,4,5,6}:{(4,1),(7,1),(29,1),(76,1),(79,1)}
        2:{3,4,5,6,7}:{(8,1),(9,1),(33,1),(63,1)}
        3:{1,3,4,5,7}:{(0,1),(10,1),(13,1),(40,1),(63,1),(66,1)}
        4:{2,3,4,5,7}:{(1,1),(11,1),(14,1),(39,1),(63,1),(65,1)}
        5:{1,2,3,4,6,7}:{(15,1),(36,1),(42,1),(64,1),(68,1),(89,1)}
        6:{1,2,4,5,6}:{(0,1),(13,1),(16,1),(43,1),(85,1),(88,1)}
        7:{1,2,4,5,6}:{(1,1),(14,1),(17,1),(43,1),(86,1),(88,1)}
        8:{1,4,5,6,7}:{(2,1),(18,1),(75,1)}
        9:{2,4,5,6,7}:{(2,1),(19,1),(74,1)}
       10:{1,3,4,6,7}:{(3,1),(18,1),(21,1),(48,1)}
       11:{2,3,4,6,7}:{(4,1),(19,1),(22,1),(48,1)}
       12:{1,2,3,5,6,7}:{(23,1),(27,1),(46,1),(47,1),(49,1),(52,1),(78,1)}
       13:{1,2,4,5,7}:{(3,1),(6,1),(21,1),(24,1),(54,1),(74,1),(78,1)}
       14:{1,2,4,5,7}:{(4,1),(7,1),(22,1),(25,1),(54,1),(75,1),(78,1)}
       15:{1,2,3,5,7}:{(5,1),(26,1),(27,1),(52,1),(78,1)}
       16:{2,3,5,6}:{(6,1),(24,1),(29,1)}
       17:{1,3,5,6}:{(7,1),(25,1),(30,1)}
       18:{1,3,5,6,7}:{(8,1),(10,1),(31,1),(33,1),(66,1)}
       19:{2,3,5,6,7}:{(9,1),(11,1),(32,1),(33,1),(65,1)}
       20:{1,2,4,5,6,7}:{(8,1),(9,1),(31,1),(32,1),(33,1),(37,1),(61,1),(62,1),(84,1)}
       21:{1,2,4,6,7}:{(10,1),(13,1),(31,1),(34,1),(61,1)}
       22:{1,2,4,6,7}:{(11,1),(14,1),(32,1),(35,1),(62,1)}
       23:{1,2,4,6,7}:{(12,1),(36,1),(37,1),(42,1),(61,1),(62,1)}
       24:{2,3,5,7}:{(13,1),(16,1),(34,1),(39,1)}
       25:{1,3,5,7}:{(14,1),(17,1),(35,1),(40,1)}
       26:{1,2,4,5,7}:{(15,1),(41,1),(42,1)}
       27:{1,2,3,5,6}:{(15,1),(42,1),(67,1),(88,1),(89,1)}
       28:{1,2,3,5,6}:{(16,1),(17,1),(38,1),(43,1),(72,1),(88,1),(89,1)}
       29:{2,3,4,6}:{(16,1),(39,1),(43,1),(44,1)}
       30:{1,3,4,6}:{(17,1),(40,1),(43,1),(45,1)}
       31:{1,2,5,6,7}:{(18,1),(21,1),(46,1),(78,1)}
       32:{1,2,5,6,7}:{(19,1),(22,1),(47,1),(78,1)}
       33:{3,5,6,7}:{(20,1),(48,1),(52,1),(90,1)}
       34:{2,3,6,7}:{(21,1),(24,1)}
       35:{1,3,6,7}:{(22,1),(25,1)}
       36:{3,4,6,7}:{(23,1),(52,1),(57,1)}
       37:{1,2,4,5,7}:{(23,1),(52,1),(53,1),(74,1),(75,1),(78,1)}
       38:{1,2,3,5,7}:{(24,1),(25,1),(28,1),(49,1),(54,1),(78,1)}
       39:{2,3,4,7}:{(24,1),(29,1),(54,1)}
       40:{1,3,4,7}:{(25,1),(30,1),(54,1)}
       41:{3,4,5,7}:{(26,1),(52,1),(57,1)}
       42:{1,2,4,6}:{(26,1),(27,1),(57,1)}
       43:{1,2,4,6}:{(28,1),(29,1),(30,1),(54,1),(59,1)}
       44:{2,3,4,5}:{(29,1),(59,1)}
       45:{1,3,4,5}:{(30,1),(59,1)}
       46:{2,3,5,6,7}:{(31,1),(33,1),(34,1),(61,1),(65,1)}
       47:{1,3,5,6,7}:{(32,1),(33,1),(35,1),(62,1),(66,1)}
       48:{3,4,6,7}:{(33,1),(61,1),(62,1),(63,1)}
       49:{1,2,3,6,7}:{(34,1),(35,1),(38,1),(64,1),(89,1)}
       50:{2,3,4,6,7}:{(34,1),(36,1),(39,1),(61,1),(64,1),(65,1),(70,1),(83,1)}
       51:{1,3,4,6,7}:{(35,1),(36,1),(40,1),(62,1),(64,1),(66,1),(71,1),(83,1)}
       52:{3,5,7}:{(36,1),(37,1),(67,1)}
       53:{1,2,4,5,6}:{(37,1),(42,1),(67,1),(85,1),(86,1),(88,1)}
       54:{1,2,4,7}:{(38,1),(39,1),(40,1),(43,1)}
       55:{2,3,4,5,7}:{(39,1),(41,1),(44,1),(65,1),(69,1),(70,1),(94,1)}
       56:{1,3,4,5,7}:{(40,1),(41,1),(45,1),(66,1),(69,1),(71,1),(94,1)}
       57:{3,4,6}:{(41,1),(42,1),(67,1)}
       58:{1,2,3,4,6}:{(43,1),(68,1),(72,1),(89,1)}
       59:{1,2,4,5}:{(43,1),(44,1),(45,1),(72,1)}
       60:{1,2,3,5,6,7}:{(46,1),(47,1),(49,1),(73,1),(78,1),(90,1),(93,1)}
       61:{2,4,6,7}:{(46,1),(48,1),(74,1)}
       62:{1,4,6,7}:{(47,1),(48,1),(75,1)}
       63:{3,4,5,7}:{(48,1),(52,1),(74,1),(75,1),(76,1),(90,1)}
       64:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(54,1),(78,1),(82,1)}
       65:{2,3,5,7}:{(50,1),(52,1),(74,1),(78,1),(79,1),(90,1)}
       66:{1,3,5,7}:{(51,1),(52,1),(75,1),(78,1),(80,1),(90,1)}
       67:{3,5,6}:{(52,1),(53,1),(57,1)}
       68:{1,2,3,4,7}:{(54,1),(58,1),(81,1)}
       69:{1,2,4,5,7}:{(54,1),(55,1),(56,1),(59,1),(78,1),(81,1),(82,1)}
       70:{2,3,4,6}:{(55,1),(57,1),(79,1),(82,1),(97,1)}
       71:{1,3,4,6}:{(56,1),(57,1),(80,1),(82,1),(97,1)}
       72:{1,2,3,5}:{(58,1),(59,1)}
       73:{1,2,4,6,7}:{(60,1),(61,1),(62,1),(83,1),(84,1),(96,1)}
       74:{2,4,5,7}:{(61,1),(63,1),(65,1),(85,1)}
       75:{1,4,5,7}:{(62,1),(63,1),(66,1),(86,1)}
       76:{3,4,5,6}:{(63,1),(67,1),(85,1),(86,1),(95,1)}
       77:{1,2,3,4,6,7}:{(64,1),(68,1),(83,1),(87,1),(89,1),(96,1)}
       78:{1,2,5,7}:{(64,1),(65,1),(66,1),(88,1)}
       79:{2,3,5,6}:{(65,1),(67,1),(70,1),(85,1),(88,1),(95,1)}
       80:{1,3,5,6}:{(66,1),(67,1),(71,1),(86,1),(88,1),(95,1)}
       81:{1,2,3,5,7}:{(68,1),(69,1),(72,1),(89,1)}
       82:{1,2,4,6}:{(69,1),(70,1),(71,1),(88,1),(89,1)}
       83:{3,4,6,7}:{(73,1),(90,1),(97,1)}
       84:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(78,1),(90,1),(91,1)}
       85:{2,4,5,6}:{(74,1),(76,1),(79,1)}
       86:{1,4,5,6}:{(75,1),(76,1),(80,1)}
       87:{1,2,3,5,7}:{(77,1),(78,1),(90,1),(92,1),(93,1)}
       88:{1,2,5,6}:{(78,1),(79,1),(80,1),(82,1)}
       89:{1,2,3,6}:{(81,1),(82,1)}
       90:{3,5,7}:{(83,1),(84,1),(95,1)}
       91:{1,2,4,5,6}:{(84,1),(85,1),(86,1),(88,1),(95,1),(96,1)}
       92:{1,2,4,5,7}:{(87,1),(94,1),(96,1)}
       93:{1,2,3,5,6}:{(87,1),(88,1),(89,1),(95,1),(96,1)}
       94:{3,4,5,7}:{(90,1),(92,1),(97,1)}
       95:{3,5,6}:{(90,1),(91,1),(97,1)}
       96:{1,2,4,6}:{(92,1),(93,1),(97,1)}
       97:{3,4,6}:{(94,1),(95,1),(96,1)}

2333 :  0:{1,2,3,4,5,7}:{(1,1),(5,1),(21,1),(36,1)}
        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),(35,1),(36,1)}
        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),(18,1),(33,1),(35,1)}
        7:{3,4,5,6}:{(4,1),(12,1)}
        8:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(12,1)}
        9:{1,2,4,6,7}:{(6,1),(8,1),(14,1)}
       10:{2,3,4,5,6}:{(7,1),(15,1),(16,1),(45,1)}
       11:{1,3,4,5,6}:{(7,1),(15,1),(17,1),(45,1)}
       12:{3,4,5,7}:{(7,1),(8,1),(14,1)}
       13:{1,2,4,5,6,7}:{(9,1),(18,1),(31,1),(32,1),(33,1)}
       14:{3,4,6,7}:{(9,1),(12,1),(18,1)}
       15:{1,2,4,5,6}:{(10,1),(11,1),(22,1),(23,1)}
       16:{2,3,4,5,7}:{(10,1),(12,1),(19,1),(23,1),(48,1)}
       17:{1,3,4,5,7}:{(11,1),(12,1),(20,1),(23,1),(48,1)}
       18:{3,5,6,7}:{(13,1),(14,1)}
       19:{2,3,4,6,7}:{(14,1),(16,1),(25,1),(28,1),(46,1)}
       20:{1,3,4,6,7}:{(14,1),(17,1),(26,1),(28,1),(46,1)}
       21:{1,2,3,4,5}:{(29,1)}
       22:{1,2,3,5,6}:{(15,1),(29,1),(30,1)}
       23:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(28,1),(30,1)}
       24:{3,4,5,6,7}:{(18,1),(31,1),(32,1),(41,1)}
       25:{2,3,5,6,7}:{(18,1),(19,1),(31,1),(33,1),(41,1)}
       26:{1,3,5,6,7}:{(18,1),(20,1),(32,1),(33,1),(41,1)}
       27:{1,2,3,4,5,7}:{(21,1),(34,1),(36,1),(44,1)}
       28:{1,2,4,6,7}:{(19,1),(20,1),(23,1),(33,1),(35,1)}
       29:{1,2,3,4,6}:{(21,1),(22,1),(36,1)}
       30:{1,2,3,5,7}:{(22,1),(23,1),(35,1),(36,1)}
       31:{2,4,5,6,7}:{(24,1),(25,1)}
       32:{1,4,5,6,7}:{(24,1),(26,1)}
       33:{1,2,5,6,7}:{(25,1),(26,1),(28,1)}
       34:{1,2,3,4,6}:{(27,1),(39,1)}
       35:{1,2,3,6,7}:{(28,1),(30,1)}
       36:{1,2,3,4,7}:{(29,1),(30,1)}
       37:{1,2,4,5,6,7}:{(31,1),(32,1),(33,1),(41,1),(43,1)}
       38:{1,2,3,5,6,7}:{(33,1),(35,1),(41,1),(43,1),(44,1)}
       39:{1,2,3,5,6}:{(34,1),(42,1),(44,1)}
       40:{1,2,3,4,6,7}:{(34,1),(35,1),(36,1),(43,1),(44,1)}
       41:{3,5,6,7}:{(37,1),(46,1)}
       42:{1,2,4,5,6}:{(39,1),(45,1),(47,1)}
       43:{1,2,4,6,7}:{(38,1),(46,1),(47,1)}
       44:{1,2,3,5,7}:{(39,1),(40,1),(47,1)}
       45:{3,4,5,6}:{(42,1),(48,1)}
       46:{3,4,6,7}:{(41,1),(43,1),(48,1)}
       47:{1,2,4,5,7}:{(42,1),(43,1),(44,1),(48,1)}
       48:{3,4,5,7}:{(45,1),(46,1),(47,1)}

2334 :  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:{3,4,5,6}:{(4,1),(9,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,2,3,6,7}:{(5,1),(10,1)}
        9:{3,4,5,7}:{(6,1),(7,1),(11,1)}
       10:{1,2,4,6,7}:{(7,1),(8,1),(11,1),(12,1)}
       11:{3,4,6,7}:{(9,1),(10,1),(13,1)}
       12:{1,2,5,6,7}:{(10,1),(13,1)}
       13:{3,5,6,7}:{(11,1),(12,1),(14,1)}
       14:{4,5,6,7}:{(13,1)}

2335 :   0:{3,4,5,6,7}:{(3,1),(4,1),(30,1),(145,1)}
         1:{1,3,4,5,6}:{(6,1),(7,1),(49,1),(82,1),(122,1)}
         2:{2,3,4,5,6}:{(9,1),(10,1),(49,1),(91,1),(128,1)}
         3:{2,4,5,6,7}:{(0,1),(12,1),(149,1)}
         4:{1,4,5,6,7}:{(0,1),(13,1),(147,1)}
         5:{1,2,3,4,6}:{(15,1),(17,1),(52,1),(56,1)}
         6:{1,2,4,5,6}:{(1,1),(19,1),(20,1),(56,1),(74,1),(102,1)}
         7:{1,3,4,5,7}:{(1,1),(16,1),(20,1),(76,1),(106,1),(138,1)}
         8:{1,2,3,4,6}:{(21,1),(23,1),(61,1),(65,1)}
         9:{1,2,4,5,6}:{(2,1),(25,1),(26,1),(65,1),(72,1),(110,1)}
        10:{2,3,4,5,7}:{(2,1),(22,1),(26,1),(76,1),(114,1),(142,1)}
        11:{1,2,3,4,6,7}:{(15,1),(21,1),(27,1),(52,1),(61,1),(70,1),(103,1),(111,1),(118,1)}
        12:{2,3,5,6,7}:{(3,1),(22,1),(28,1),(30,1),(142,1)}
        13:{1,3,5,6,7}:{(4,1),(16,1),(29,1),(30,1),(138,1)}
        14:{1,2,4,5,6,7}:{(3,1),(4,1),(28,1),(29,1),(30,1),(73,1),(75,1),(119,1)}
        15:{1,2,3,4,7}:{(5,1),(31,1),(84,1)}
        16:{1,3,4,6,7}:{(7,1),(13,1),(33,1),(50,1)}
        17:{1,2,3,5}:{(5,1),(34,1)}
        18:{2,3,4,5}:{(34,1),(36,1)}
        19:{2,3,5,6}:{(6,1),(36,1),(37,1)}
        20:{1,2,4,5,7}:{(6,1),(7,1),(33,1),(37,1),(84,1),(99,1),(124,1)}
        21:{1,2,3,4,7}:{(8,1),(38,1),(93,1)}
        22:{2,3,4,6,7}:{(10,1),(12,1),(40,1),(50,1)}
        23:{1,2,3,5}:{(8,1),(41,1)}
        24:{1,3,4,5}:{(41,1),(43,1)}
        25:{1,3,5,6}:{(9,1),(43,1),(44,1)}
        26:{1,2,4,5,7}:{(9,1),(10,1),(40,1),(44,1),(93,1),(98,1),(130,1)}
        27:{1,2,3,5,7}:{(11,1),(45,1),(46,1),(124,1),(130,1),(135,1)}
        28:{1,2,5,6,7}:{(12,1),(40,1),(47,1),(130,1)}
        29:{1,2,5,6,7}:{(13,1),(33,1),(48,1),(124,1)}
        30:{3,5,6,7}:{(14,1),(50,1),(135,1)}
        31:{1,2,3,5,7}:{(15,1),(17,1),(51,1),(52,1)}
        32:{2,3,4,5,7}:{(18,1),(51,1),(53,1),(59,1),(69,1),(104,1)}
        33:{1,2,4,6,7}:{(16,1),(20,1),(29,1),(54,1),(75,1)}
        34:{1,2,4,5}:{(17,1),(18,1),(55,1),(56,1)}
        35:{1,2,3,5,6}:{(17,1),(19,1),(52,1),(56,1),(57,1),(102,1),(105,1)}
        36:{2,3,4,6}:{(18,1),(19,1),(56,1),(59,1)}
        37:{2,3,5,7}:{(19,1),(20,1),(54,1),(59,1)}
        38:{1,2,3,5,7}:{(21,1),(23,1),(60,1),(61,1)}
        39:{1,3,4,5,7}:{(24,1),(60,1),(62,1),(68,1),(69,1),(112,1)}
        40:{1,2,4,6,7}:{(22,1),(26,1),(28,1),(63,1),(73,1)}
        41:{1,2,4,5}:{(23,1),(24,1),(64,1),(65,1)}
        42:{1,2,3,5,6}:{(23,1),(25,1),(61,1),(65,1),(66,1),(110,1),(113,1)}
        43:{1,3,4,6}:{(24,1),(25,1),(65,1),(68,1)}
        44:{1,3,5,7}:{(25,1),(26,1),(63,1),(68,1)}
        45:{1,2,4,5,7}:{(27,1),(69,1),(70,1)}
        46:{1,2,3,5,6}:{(27,1),(52,1),(61,1),(70,1),(102,1),(110,1),(117,1)}
        47:{1,3,5,6,7}:{(28,1),(30,1),(63,1),(73,1),(112,1)}
        48:{2,3,5,6,7}:{(29,1),(30,1),(54,1),(75,1),(104,1)}
        49:{3,4,5,6}:{(72,1),(74,1),(76,1),(117,1)}
        50:{3,4,6,7}:{(30,1),(73,1),(75,1),(76,1)}
        51:{1,2,4,5,7}:{(31,1),(32,1),(34,1),(77,1),(78,1),(84,1),(124,1)}
        52:{1,2,3,6}:{(31,1),(78,1)}
        53:{2,3,4,6}:{(32,1),(78,1),(80,1),(95,1)}
        54:{2,3,6,7}:{(33,1),(37,1)}
        55:{1,3,4,5}:{(34,1),(82,1)}
        56:{1,2,4,6}:{(34,1),(35,1),(36,1),(82,1),(84,1)}
        57:{1,2,3,5,7}:{(35,1),(37,1),(79,1),(84,1),(124,1),(126,1)}
        58:{2,3,4,5,6}:{(36,1),(80,1),(83,1),(85,1),(134,1)}
        59:{2,3,4,7}:{(36,1),(37,1),(84,1)}
        60:{1,2,4,5,7}:{(38,1),(39,1),(41,1),(86,1),(87,1),(93,1),(130,1)}
        61:{1,2,3,6}:{(38,1),(87,1)}
        62:{1,3,4,6}:{(39,1),(87,1),(89,1),(95,1)}
        63:{1,3,6,7}:{(40,1),(44,1)}
        64:{2,3,4,5}:{(41,1),(91,1)}
        65:{1,2,4,6}:{(41,1),(42,1),(43,1),(91,1),(93,1)}
        66:{1,2,3,5,7}:{(42,1),(44,1),(88,1),(93,1),(130,1),(132,1)}
        67:{1,3,4,5,6}:{(43,1),(89,1),(92,1),(94,1),(134,1)}
        68:{1,3,4,7}:{(43,1),(44,1),(93,1)}
        69:{3,4,5,7}:{(45,1),(95,1),(135,1)}
        70:{1,2,4,6}:{(45,1),(46,1),(95,1)}
        71:{1,2,3,5,6,7}:{(46,1),(47,1),(48,1),(79,1),(88,1),(97,1),(124,1),(130,1),(135,1),(148,1),(150,1)}
        72:{1,4,5,6}:{(49,1),(89,1),(98,1)}
        73:{1,4,6,7}:{(47,1),(50,1),(98,1)}
        74:{2,4,5,6}:{(49,1),(80,1),(99,1)}
        75:{2,4,6,7}:{(48,1),(50,1),(99,1)}
        76:{3,4,5,7}:{(49,1),(50,1),(98,1),(99,1),(135,1)}
        77:{1,3,4,5,7}:{(51,1),(55,1),(69,1),(101,1),(106,1),(138,1)}
        78:{1,2,4,6}:{(51,1),(52,1),(53,1),(101,1),(102,1)}
        79:{1,2,3,6,7}:{(52,1),(54,1),(57,1),(103,1),(140,1)}
        80:{2,3,5,6}:{(53,1),(74,1),(102,1),(104,1),(117,1)}
        81:{2,3,4,6,7}:{(53,1),(54,1),(59,1),(75,1),(103,1),(104,1),(118,1)}
        82:{1,3,4,6}:{(55,1),(56,1),(105,1),(106,1)}
        83:{1,2,4,5,6}:{(56,1),(58,1),(102,1),(105,1),(107,1),(137,1)}
        84:{1,2,4,7}:{(56,1),(57,1),(59,1),(106,1)}
        85:{2,3,4,5,7}:{(58,1),(59,1),(104,1),(107,1),(108,1),(145,1)}
        86:{2,3,4,5,7}:{(60,1),(64,1),(69,1),(109,1),(114,1),(142,1)}
        87:{1,2,4,6}:{(60,1),(61,1),(62,1),(109,1),(110,1)}
        88:{1,2,3,6,7}:{(61,1),(63,1),(66,1),(111,1),(144,1)}
        89:{1,3,5,6}:{(62,1),(72,1),(110,1),(112,1),(117,1)}
        90:{1,3,4,6,7}:{(62,1),(63,1),(68,1),(73,1),(111,1),(112,1),(118,1)}
        91:{2,3,4,6}:{(64,1),(65,1),(113,1),(114,1)}
        92:{1,2,4,5,6}:{(65,1),(67,1),(110,1),(113,1),(115,1),(141,1)}
        93:{1,2,4,7}:{(65,1),(66,1),(68,1),(114,1)}
        94:{1,3,4,5,7}:{(67,1),(68,1),(112,1),(115,1),(116,1),(145,1)}
        95:{3,4,6}:{(69,1),(70,1),(117,1)}
        96:{1,2,4,5,6}:{(70,1),(72,1),(74,1),(102,1),(110,1),(117,1),(119,1),(137,1),(141,1)}
        97:{1,2,4,6,7}:{(70,1),(71,1),(73,1),(75,1),(118,1),(119,1),(152,1),(153,1)}
        98:{1,4,5,7}:{(72,1),(73,1),(76,1),(112,1)}
        99:{2,4,5,7}:{(74,1),(75,1),(76,1),(104,1)}
       100:{3,4,5,6,7}:{(76,1),(120,1),(121,1),(146,1)}
       101:{1,3,4,6}:{(77,1),(78,1),(95,1),(122,1)}
       102:{1,2,5,6}:{(78,1),(80,1),(122,1),(124,1)}
       103:{1,2,4,6,7}:{(78,1),(79,1),(81,1),(84,1),(123,1),(124,1)}
       104:{2,3,5,7}:{(80,1),(81,1),(99,1),(124,1),(135,1)}
       105:{1,3,5,6}:{(82,1),(83,1),(126,1)}
       106:{1,3,4,7}:{(82,1),(84,1),(126,1)}
       107:{1,2,4,5,7}:{(83,1),(84,1),(85,1),(124,1),(126,1),(127,1),(147,1)}
       108:{2,3,4,6,7}:{(85,1),(125,1),(127,1),(151,1)}
       109:{2,3,4,6}:{(86,1),(87,1),(95,1),(128,1)}
       110:{1,2,5,6}:{(87,1),(89,1),(128,1),(130,1)}
       111:{1,2,4,6,7}:{(87,1),(88,1),(90,1),(93,1),(129,1),(130,1)}
       112:{1,3,5,7}:{(89,1),(90,1),(98,1),(130,1),(135,1)}
       113:{2,3,5,6}:{(91,1),(92,1),(132,1)}
       114:{2,3,4,7}:{(91,1),(93,1),(132,1)}
       115:{1,2,4,5,7}:{(92,1),(93,1),(94,1),(130,1),(132,1),(133,1),(149,1)}
       116:{1,3,4,6,7}:{(94,1),(131,1),(133,1),(151,1)}
       117:{3,5,6}:{(95,1),(96,1),(135,1)}
       118:{3,4,6,7}:{(95,1),(97,1),(135,1)}
       119:{1,2,4,5,7}:{(96,1),(97,1),(98,1),(99,1),(124,1),(130,1),(135,1),(147,1),(149,1)}
       120:{1,4,5,6,7}:{(98,1),(100,1),(131,1)}
       121:{2,4,5,6,7}:{(99,1),(100,1),(125,1)}
       122:{1,3,5,6}:{(101,1),(102,1),(117,1),(137,1),(138,1)}
       123:{1,3,4,6,7}:{(101,1),(103,1),(106,1),(118,1),(138,1),(140,1),(152,1)}
       124:{1,2,5,7}:{(102,1),(103,1),(104,1),(138,1)}
       125:{2,3,5,6,7}:{(104,1),(108,1),(121,1),(139,1),(146,1)}
       126:{1,3,5,7}:{(105,1),(106,1),(107,1),(140,1)}
       127:{1,2,4,6,7}:{(107,1),(108,1),(139,1),(140,1),(152,1)}
       128:{2,3,5,6}:{(109,1),(110,1),(117,1),(141,1),(142,1)}
       129:{2,3,4,6,7}:{(109,1),(111,1),(114,1),(118,1),(142,1),(144,1),(153,1)}
       130:{1,2,5,7}:{(110,1),(111,1),(112,1),(142,1)}
       131:{1,3,5,6,7}:{(112,1),(116,1),(120,1),(143,1),(146,1)}
       132:{2,3,5,7}:{(113,1),(114,1),(115,1),(144,1)}
       133:{1,2,4,6,7}:{(115,1),(116,1),(143,1),(144,1),(153,1)}
       134:{3,4,5,6}:{(117,1),(137,1),(141,1),(145,1)}
       135:{3,5,7}:{(117,1),(118,1),(119,1)}
       136:{1,2,4,5,6,7}:{(119,1),(120,1),(121,1),(139,1),(143,1),(146,1),(152,1),(153,1)}
       137:{1,4,5,6}:{(122,1),(134,1),(147,1)}
       138:{1,3,5,7}:{(122,1),(123,1),(124,1),(135,1),(147,1)}
       139:{1,2,5,6,7}:{(124,1),(125,1),(127,1),(148,1)}
       140:{1,3,6,7}:{(126,1),(127,1)}
       141:{2,4,5,6}:{(128,1),(134,1),(149,1)}
       142:{2,3,5,7}:{(128,1),(129,1),(130,1),(135,1),(149,1)}
       143:{1,2,5,6,7}:{(130,1),(131,1),(133,1),(150,1)}
       144:{2,3,6,7}:{(132,1),(133,1)}
       145:{3,4,5,7}:{(134,1),(135,1),(147,1),(149,1),(151,1)}
       146:{3,5,6,7}:{(135,1),(136,1),(151,1)}
       147:{1,4,5,7}:{(137,1),(138,1),(145,1),(152,1)}
       148:{1,3,5,6,7}:{(138,1),(139,1),(140,1),(146,1),(152,1)}
       149:{2,4,5,7}:{(141,1),(142,1),(145,1),(153,1)}
       150:{2,3,5,6,7}:{(142,1),(143,1),(144,1),(146,1),(153,1)}
       151:{3,4,6,7}:{(145,1),(146,1),(152,1),(153,1)}
       152:{1,4,6,7}:{(147,1),(148,1),(151,1)}
       153:{2,4,6,7}:{(149,1),(150,1),(151,1)}

2336 :   0:{3,4,5,6,7}:{(3,1),(4,1),(22,1),(145,1)}
         1:{1,3,4,5,6}:{(5,1),(6,1),(72,1),(95,1),(148,1)}
         2:{2,3,4,5,6}:{(7,1),(8,1),(82,1),(95,1),(150,1)}
         3:{1,4,5,6,7}:{(0,1),(9,1),(147,1)}
         4:{2,4,5,6,7}:{(0,1),(10,1),(149,1)}
         5:{1,3,4,5,7}:{(1,1),(13,1),(14,1),(68,1),(98,1),(138,1)}
         6:{1,2,4,5,6}:{(1,1),(14,1),(15,1),(46,1),(119,1),(140,1)}
         7:{2,3,4,5,7}:{(2,1),(17,1),(18,1),(68,1),(107,1),(142,1)}
         8:{1,2,4,5,6}:{(2,1),(18,1),(19,1),(56,1),(120,1),(144,1)}
         9:{1,3,5,6,7}:{(3,1),(13,1),(20,1),(22,1),(138,1)}
        10:{2,3,5,6,7}:{(4,1),(17,1),(21,1),(22,1),(142,1)}
        11:{1,2,4,5,6,7}:{(3,1),(4,1),(20,1),(21,1),(22,1),(66,1),(67,1),(117,1)}
        12:{2,3,4,5,6}:{(23,1),(24,1),(29,1),(126,1),(151,1)}
        13:{1,3,4,6,7}:{(5,1),(9,1),(27,1),(41,1)}
        14:{1,2,4,5,7}:{(5,1),(6,1),(27,1),(28,1),(74,1),(93,1),(124,1)}
        15:{2,3,5,6}:{(6,1),(28,1),(29,1)}
        16:{1,3,4,5,6}:{(30,1),(31,1),(36,1),(132,1),(151,1)}
        17:{2,3,4,6,7}:{(7,1),(10,1),(34,1),(41,1)}
        18:{1,2,4,5,7}:{(7,1),(8,1),(34,1),(35,1),(84,1),(94,1),(130,1)}
        19:{1,3,5,6}:{(8,1),(35,1),(36,1)}
        20:{1,2,5,6,7}:{(9,1),(27,1),(39,1),(124,1)}
        21:{1,2,5,6,7}:{(10,1),(34,1),(40,1),(130,1)}
        22:{3,5,6,7}:{(11,1),(41,1),(134,1)}
        23:{2,3,4,5,7}:{(12,1),(42,1),(43,1),(50,1),(103,1),(145,1)}
        24:{1,2,4,5,6}:{(12,1),(43,1),(44,1),(46,1),(140,1),(152,1)}
        25:{1,2,3,5,6}:{(15,1),(44,1),(45,1),(46,1),(48,1),(102,1),(140,1)}
        26:{1,2,3,4,6}:{(46,1),(47,1),(48,1),(102,1)}
        27:{1,2,4,6,7}:{(13,1),(14,1),(20,1),(49,1),(66,1)}
        28:{2,3,5,7}:{(14,1),(15,1),(49,1),(50,1)}
        29:{2,3,4,6}:{(15,1),(46,1),(50,1),(51,1)}
        30:{1,3,4,5,7}:{(16,1),(52,1),(53,1),(60,1),(112,1),(145,1)}
        31:{1,2,4,5,6}:{(16,1),(53,1),(54,1),(56,1),(144,1),(153,1)}
        32:{1,2,3,5,6}:{(19,1),(54,1),(55,1),(56,1),(58,1),(111,1),(144,1)}
        33:{1,2,3,4,6}:{(56,1),(57,1),(58,1),(111,1)}
        34:{1,2,4,6,7}:{(17,1),(18,1),(21,1),(59,1),(67,1)}
        35:{1,3,5,7}:{(18,1),(19,1),(59,1),(60,1)}
        36:{1,3,4,6}:{(19,1),(56,1),(60,1),(61,1)}
        37:{3,4,5,6,7}:{(62,1),(63,1),(68,1),(114,1)}
        38:{1,2,3,4,6,7}:{(47,1),(57,1),(65,1),(100,1),(102,1),(109,1),(111,1),(115,1),(118,1)}
        39:{2,3,5,6,7}:{(20,1),(22,1),(49,1),(66,1),(103,1)}
        40:{1,3,5,6,7}:{(21,1),(22,1),(59,1),(67,1),(112,1)}
        41:{3,4,6,7}:{(22,1),(66,1),(67,1),(68,1)}
        42:{2,3,4,6,7}:{(23,1),(69,1),(70,1),(133,1)}
        43:{1,2,4,5,7}:{(23,1),(24,1),(70,1),(71,1),(74,1),(124,1),(147,1)}
        44:{1,3,5,6}:{(24,1),(71,1),(72,1)}
        45:{1,2,3,5,7}:{(25,1),(28,1),(71,1),(73,1),(74,1),(124,1)}
        46:{1,2,4,6}:{(25,1),(29,1),(72,1),(74,1),(75,1)}
        47:{1,2,3,4,7}:{(26,1),(74,1),(76,1)}
        48:{1,2,3,5}:{(26,1),(75,1)}
        49:{2,3,6,7}:{(27,1),(28,1)}
        50:{2,3,4,7}:{(28,1),(29,1),(74,1)}
        51:{2,3,4,5}:{(29,1),(75,1)}
        52:{1,3,4,6,7}:{(30,1),(79,1),(80,1),(133,1)}
        53:{1,2,4,5,7}:{(30,1),(31,1),(80,1),(81,1),(84,1),(130,1),(149,1)}
        54:{2,3,5,6}:{(31,1),(81,1),(82,1)}
        55:{1,2,3,5,7}:{(32,1),(35,1),(81,1),(83,1),(84,1),(130,1)}
        56:{1,2,4,6}:{(32,1),(36,1),(82,1),(84,1),(85,1)}
        57:{1,2,3,4,7}:{(33,1),(84,1),(86,1)}
        58:{1,2,3,5}:{(33,1),(85,1)}
        59:{1,3,6,7}:{(34,1),(35,1)}
        60:{1,3,4,7}:{(35,1),(36,1),(84,1)}
        61:{1,3,4,5}:{(36,1),(85,1)}
        62:{1,4,5,6,7}:{(37,1),(79,1),(94,1)}
        63:{2,4,5,6,7}:{(37,1),(69,1),(93,1)}
        64:{1,2,3,5,6,7}:{(39,1),(40,1),(73,1),(83,1),(90,1),(92,1),(121,1),(124,1),(127,1),(130,1),(134,1)}
        65:{1,2,3,5,7}:{(38,1),(91,1),(92,1),(124,1),(130,1),(134,1)}
        66:{2,4,6,7}:{(39,1),(41,1),(93,1)}
        67:{1,4,6,7}:{(40,1),(41,1),(94,1)}
        68:{3,4,5,7}:{(41,1),(93,1),(94,1),(95,1),(134,1)}
        69:{2,3,5,6,7}:{(42,1),(63,1),(96,1),(103,1),(114,1)}
        70:{1,2,4,6,7}:{(42,1),(43,1),(96,1),(97,1),(137,1)}
        71:{1,3,5,7}:{(43,1),(44,1),(97,1),(98,1)}
        72:{1,3,4,6}:{(44,1),(46,1),(98,1),(99,1)}
        73:{1,2,3,6,7}:{(45,1),(49,1),(97,1),(100,1),(102,1)}
        74:{1,2,4,7}:{(45,1),(46,1),(50,1),(98,1)}
        75:{1,2,4,5}:{(46,1),(48,1),(51,1),(99,1)}
        76:{1,2,3,5,7}:{(47,1),(48,1),(101,1),(102,1)}
        77:{2,3,4,6,7}:{(49,1),(50,1),(66,1),(100,1),(103,1),(104,1),(115,1)}
        78:{2,3,4,5,7}:{(50,1),(51,1),(101,1),(103,1),(104,1),(116,1)}
        79:{1,3,5,6,7}:{(52,1),(62,1),(105,1),(112,1),(114,1)}
        80:{1,2,4,6,7}:{(52,1),(53,1),(105,1),(106,1),(141,1)}
        81:{2,3,5,7}:{(53,1),(54,1),(106,1),(107,1)}
        82:{2,3,4,6}:{(54,1),(56,1),(107,1),(108,1)}
        83:{1,2,3,6,7}:{(55,1),(59,1),(106,1),(109,1),(111,1)}
        84:{1,2,4,7}:{(55,1),(56,1),(60,1),(107,1)}
        85:{1,2,4,5}:{(56,1),(58,1),(61,1),(108,1)}
        86:{1,2,3,5,7}:{(57,1),(58,1),(110,1),(111,1)}
        87:{1,3,4,6,7}:{(59,1),(60,1),(67,1),(109,1),(112,1),(113,1),(115,1)}
        88:{1,3,4,5,7}:{(60,1),(61,1),(110,1),(112,1),(113,1),(116,1)}
        89:{1,2,4,5,6,7}:{(62,1),(63,1),(96,1),(105,1),(114,1),(117,1),(137,1),(141,1)}
        90:{1,2,4,6,7}:{(64,1),(66,1),(67,1),(115,1),(117,1),(118,1),(137,1),(141,1)}
        91:{1,2,4,5,7}:{(65,1),(116,1),(118,1)}
        92:{1,2,3,5,6}:{(65,1),(102,1),(111,1),(118,1),(140,1),(144,1),(146,1)}
        93:{2,4,5,7}:{(66,1),(68,1),(103,1),(119,1)}
        94:{1,4,5,7}:{(67,1),(68,1),(112,1),(120,1)}
        95:{3,4,5,6}:{(68,1),(119,1),(120,1),(146,1)}
        96:{1,2,5,6,7}:{(69,1),(70,1),(121,1),(124,1)}
        97:{1,3,6,7}:{(70,1),(71,1)}
        98:{1,3,4,7}:{(71,1),(72,1),(74,1)}
        99:{1,3,4,5}:{(72,1),(75,1)}
       100:{1,2,4,6,7}:{(73,1),(74,1),(77,1),(122,1),(124,1),(125,1)}
       101:{1,2,4,5,7}:{(74,1),(75,1),(76,1),(78,1),(123,1),(124,1),(125,1)}
       102:{1,2,3,6}:{(76,1),(125,1)}
       103:{2,3,5,7}:{(77,1),(93,1),(124,1),(126,1),(134,1)}
       104:{2,3,4,6}:{(78,1),(125,1),(126,1),(135,1)}
       105:{1,2,5,6,7}:{(79,1),(80,1),(127,1),(130,1)}
       106:{2,3,6,7}:{(80,1),(81,1)}
       107:{2,3,4,7}:{(81,1),(82,1),(84,1)}
       108:{2,3,4,5}:{(82,1),(85,1)}
       109:{1,2,4,6,7}:{(83,1),(84,1),(87,1),(128,1),(130,1),(131,1)}
       110:{1,2,4,5,7}:{(84,1),(85,1),(86,1),(88,1),(129,1),(130,1),(131,1)}
       111:{1,2,3,6}:{(86,1),(131,1)}
       112:{1,3,5,7}:{(87,1),(94,1),(130,1),(132,1),(134,1)}
       113:{1,3,4,6}:{(88,1),(131,1),(132,1),(135,1)}
       114:{3,5,6,7}:{(89,1),(133,1),(134,1)}
       115:{3,4,6,7}:{(90,1),(134,1),(135,1)}
       116:{3,4,5,7}:{(91,1),(134,1),(135,1)}
       117:{1,2,4,5,7}:{(90,1),(93,1),(94,1),(124,1),(130,1),(134,1),(136,1),(147,1),(149,1)}
       118:{1,2,4,6}:{(91,1),(92,1),(135,1)}
       119:{2,4,5,6}:{(93,1),(95,1),(126,1)}
       120:{1,4,5,6}:{(94,1),(95,1),(132,1)}
       121:{1,3,5,6,7}:{(96,1),(97,1),(114,1),(137,1),(138,1)}
       122:{1,3,4,6,7}:{(97,1),(98,1),(100,1),(115,1),(137,1),(138,1),(139,1)}
       123:{1,3,4,5,7}:{(98,1),(99,1),(101,1),(116,1),(138,1),(139,1)}
       124:{1,2,5,7}:{(100,1),(103,1),(138,1),(140,1)}
       125:{1,2,4,6}:{(101,1),(102,1),(104,1),(139,1),(140,1)}
       126:{2,3,5,6}:{(103,1),(104,1),(119,1),(140,1),(146,1)}
       127:{2,3,5,6,7}:{(105,1),(106,1),(114,1),(141,1),(142,1)}
       128:{2,3,4,6,7}:{(106,1),(107,1),(109,1),(115,1),(141,1),(142,1),(143,1)}
       129:{2,3,4,5,7}:{(107,1),(108,1),(110,1),(116,1),(142,1),(143,1)}
       130:{1,2,5,7}:{(109,1),(112,1),(142,1),(144,1)}
       131:{1,2,4,6}:{(110,1),(111,1),(113,1),(143,1),(144,1)}
       132:{1,3,5,6}:{(112,1),(113,1),(120,1),(144,1),(146,1)}
       133:{3,4,6,7}:{(114,1),(137,1),(141,1),(145,1)}
       134:{3,5,7}:{(115,1),(117,1),(146,1)}
       135:{3,4,6}:{(116,1),(118,1),(146,1)}
       136:{1,2,4,5,6}:{(117,1),(118,1),(119,1),(120,1),(140,1),(144,1),(146,1),(152,1),(153,1)}
       137:{1,4,6,7}:{(121,1),(133,1),(147,1)}
       138:{1,3,5,7}:{(122,1),(124,1),(134,1),(147,1),(148,1)}
       139:{1,3,4,6}:{(123,1),(125,1),(135,1),(148,1)}
       140:{1,2,5,6}:{(124,1),(125,1),(126,1),(148,1)}
       141:{2,4,6,7}:{(127,1),(133,1),(149,1)}
       142:{2,3,5,7}:{(128,1),(130,1),(134,1),(149,1),(150,1)}
       143:{2,3,4,6}:{(129,1),(131,1),(135,1),(150,1)}
       144:{1,2,5,6}:{(130,1),(131,1),(132,1),(150,1)}
       145:{3,4,5,7}:{(133,1),(134,1),(147,1),(149,1),(151,1)}
       146:{3,5,6}:{(134,1),(135,1),(136,1)}
       147:{1,4,5,7}:{(137,1),(138,1),(145,1),(152,1)}
       148:{1,3,5,6}:{(138,1),(139,1),(140,1),(146,1),(152,1)}
       149:{2,4,5,7}:{(141,1),(142,1),(145,1),(153,1)}
       150:{2,3,5,6}:{(142,1),(143,1),(144,1),(146,1),(153,1)}
       151:{3,4,5,6}:{(145,1),(146,1),(152,1),(153,1)}
       152:{1,4,5,6}:{(147,1),(148,1),(151,1)}
       153:{2,4,5,6}:{(149,1),(150,1),(151,1)}

2337 :  0:{1,3,4,5,6,7}:{(2,1),(14,1),(19,1)}
        1:{2,3,4,5,6,7}:{(3,1),(16,1),(17,1)}
        2:{1,2,4,5,6,7}:{(0,1),(4,1),(10,1),(24,1)}
        3:{1,2,4,5,6,7}:{(1,1),(5,1),(12,1),(22,1)}
        4:{2,3,5,6,7}:{(2,1),(7,1),(29,1)}
        5:{1,3,5,6,7}:{(3,1),(9,1),(27,1)}
        6:{1,2,3,5,6,7}:{(4,1),(10,1),(21,1),(31,1)}
        7:{2,3,4,6,7}:{(4,1),(10,1),(11,1),(33,1)}
        8:{1,2,3,5,6,7}:{(5,1),(12,1),(23,1),(31,1)}
        9:{1,3,4,6,7}:{(5,1),(12,1),(13,1),(32,1)}
       10:{1,2,4,6,7}:{(6,1),(7,1),(14,1),(15,1),(34,1)}
       11:{2,3,4,5,7}:{(7,1),(15,1),(16,1)}
       12:{1,2,4,6,7}:{(8,1),(9,1),(17,1),(18,1),(34,1)}
       13:{1,3,4,5,7}:{(9,1),(18,1),(19,1)}
       14:{1,3,4,6,7}:{(10,1),(21,1),(32,1)}
       15:{1,2,4,5,7}:{(10,1),(11,1),(21,1),(22,1)}
       16:{2,3,4,5,6}:{(11,1),(22,1),(33,1)}
       17:{2,3,4,6,7}:{(12,1),(23,1),(33,1)}
       18:{1,2,4,5,7}:{(12,1),(13,1),(23,1),(24,1)}
       19:{1,3,4,5,6}:{(13,1),(24,1),(32,1)}
       20:{1,2,3,4,6,7}:{(14,1),(17,1),(25,1),(34,1)}
       21:{1,3,5,7}:{(14,1),(15,1),(27,1)}
       22:{1,2,4,5,6}:{(15,1),(16,1),(27,1),(34,1)}
       23:{2,3,5,7}:{(17,1),(18,1),(29,1)}
       24:{1,2,4,5,6}:{(18,1),(19,1),(29,1),(34,1)}
       25:{1,2,3,5,7}:{(20,1),(21,1),(23,1),(30,1),(31,1)}
       26:{1,3,4,5,7}:{(21,1),(30,1),(32,1)}
       27:{1,3,5,6}:{(21,1),(22,1),(32,1)}
       28:{2,3,4,5,7}:{(23,1),(30,1),(33,1)}
       29:{2,3,5,6}:{(23,1),(24,1),(33,1)}
       30:{1,2,4,5,7}:{(25,1),(26,1),(28,1),(34,1)}
       31:{1,2,3,5,6}:{(25,1),(27,1),(29,1),(34,1)}
       32:{1,3,4,6}:{(26,1),(27,1),(34,1)}
       33:{2,3,4,6}:{(28,1),(29,1),(34,1)}
       34:{1,2,4,6}:{(30,1),(31,1),(32,1),(33,1)}

2338 :  0:{2,3,4,5,6}:{(2,1),(3,1),(34,1)}
        1:{1,3,4,5,6}:{(2,1),(4,1),(34,1)}
        2:{1,2,4,5,6}:{(0,1),(1,1),(6,1),(7,1)}
        3:{2,3,4,5,7}:{(0,1),(7,1),(8,1),(41,1)}
        4:{1,3,4,5,7}:{(1,1),(7,1),(9,1),(41,1)}
        5:{1,2,3,4,5}:{(11,1)}
        6:{1,2,3,5,6}:{(2,1),(11,1),(12,1)}
        7:{1,2,4,5,7}:{(2,1),(3,1),(4,1),(12,1),(13,1)}
        8:{2,3,4,6,7}:{(3,1),(13,1),(14,1),(36,1)}
        9:{1,3,4,6,7}:{(4,1),(13,1),(15,1),(36,1)}
       10:{1,2,3,4,5,7}:{(5,1),(16,1),(17,1),(29,1),(49,1),(55,1)}
       11:{1,2,3,4,6}:{(5,1),(6,1),(17,1)}
       12:{1,2,3,5,7}:{(6,1),(7,1),(17,1),(18,1)}
       13:{1,2,4,6,7}:{(7,1),(8,1),(9,1),(18,1),(19,1)}
       14:{2,3,5,6,7}:{(8,1),(19,1),(20,1),(31,1)}
       15:{1,3,5,6,7}:{(9,1),(19,1),(21,1),(31,1)}
       16:{1,2,3,4,6}:{(10,1),(22,1)}
       17:{1,2,3,4,7}:{(11,1),(12,1)}
       18:{1,2,3,6,7}:{(12,1),(13,1)}
       19:{1,2,5,6,7}:{(13,1),(14,1),(15,1)}
       20:{2,4,5,6,7}:{(14,1),(26,1)}
       21:{1,4,5,6,7}:{(15,1),(27,1)}
       22:{1,2,3,5,6}:{(16,1),(28,1),(29,1)}
       23:{1,2,3,4,6,7}:{(16,1),(17,1),(18,1),(29,1),(30,1),(52,1),(55,1)}
       24:{1,2,3,5,6,7}:{(18,1),(19,1),(29,1),(30,1),(31,1),(44,1),(52,1)}
       25:{1,2,4,5,6,7}:{(19,1),(20,1),(21,1),(30,1),(31,1),(32,1),(33,1),(44,1)}
       26:{3,4,5,6,7}:{(20,1),(31,1),(32,1)}
       27:{3,4,5,6,7}:{(21,1),(31,1),(33,1)}
       28:{1,2,4,5,6}:{(22,1),(34,1),(35,1)}
       29:{1,2,3,5,7}:{(22,1),(23,1),(35,1)}
       30:{1,2,4,6,7}:{(24,1),(35,1),(36,1)}
       31:{3,5,6,7}:{(25,1),(36,1)}
       32:{1,4,5,6,7}:{(26,1),(38,1)}
       33:{2,4,5,6,7}:{(27,1),(37,1)}
       34:{3,4,5,6}:{(28,1),(41,1)}
       35:{1,2,4,5,7}:{(28,1),(29,1),(30,1),(41,1)}
       36:{3,4,6,7}:{(30,1),(31,1),(41,1)}
       37:{2,3,5,6,7}:{(31,1),(33,1),(42,1),(44,1)}
       38:{1,3,5,6,7}:{(31,1),(32,1),(43,1),(44,1)}
       39:{2,3,4,5,6}:{(34,1),(45,1),(46,1)}
       40:{1,3,4,5,6}:{(34,1),(45,1),(47,1)}
       41:{3,4,5,7}:{(34,1),(35,1),(36,1)}
       42:{2,3,4,6,7}:{(36,1),(37,1),(46,1),(48,1)}
       43:{1,3,4,6,7}:{(36,1),(38,1),(47,1),(48,1)}
       44:{1,2,5,6,7}:{(37,1),(38,1),(48,1)}
       45:{1,2,4,5,6}:{(39,1),(40,1),(50,1),(51,1)}
       46:{2,3,4,5,7}:{(39,1),(41,1),(42,1),(51,1)}
       47:{1,3,4,5,7}:{(40,1),(41,1),(43,1),(51,1)}
       48:{1,2,4,6,7}:{(42,1),(43,1),(44,1),(51,1),(52,1)}
       49:{1,2,3,4,5}:{(53,1)}
       50:{1,2,3,5,6}:{(45,1),(53,1),(54,1)}
       51:{1,2,4,5,7}:{(45,1),(46,1),(47,1),(48,1),(54,1)}
       52:{1,2,3,6,7}:{(48,1),(54,1)}
       53:{1,2,3,4,6}:{(49,1),(50,1),(55,1)}
       54:{1,2,3,5,7}:{(50,1),(51,1),(52,1),(55,1)}
       55:{1,2,3,4,7}:{(53,1),(54,1)}

2339 :  0:{1,2,3,4,5}:{(3,1)}
        1:{1,3,4,5,6}:{(5,1),(6,1),(28,1)}
        2:{2,3,4,5,6}:{(5,1),(7,1),(28,1)}
        3:{1,2,3,4,6}:{(0,1),(8,1),(9,1)}
        4:{1,2,3,4,5,7}:{(0,1),(9,1),(10,1),(21,1),(54,1),(55,1)}
        5:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(11,1)}
        6:{1,3,4,5,7}:{(1,1),(11,1),(12,1),(33,1)}
        7:{2,3,4,5,7}:{(2,1),(11,1),(13,1),(33,1)}
        8:{1,2,3,5,6}:{(3,1),(5,1),(14,1)}
        9:{1,2,3,4,7}:{(3,1),(14,1)}
       10:{1,2,3,4,6}:{(4,1),(16,1)}
       11:{1,2,4,5,7}:{(5,1),(6,1),(7,1),(14,1),(17,1)}
       12:{1,3,4,6,7}:{(6,1),(17,1),(18,1),(39,1)}
       13:{2,3,4,6,7}:{(7,1),(17,1),(19,1),(39,1)}
       14:{1,2,3,5,7}:{(8,1),(9,1),(11,1),(20,1)}
       15:{1,2,3,4,6,7}:{(9,1),(10,1),(20,1),(21,1),(32,1),(53,1),(54,1)}
       16:{1,2,3,5,6}:{(10,1),(21,1),(22,1)}
       17:{1,2,4,6,7}:{(11,1),(12,1),(13,1),(20,1),(23,1)}
       18:{1,3,5,6,7}:{(12,1),(23,1),(24,1),(36,1)}
       19:{2,3,5,6,7}:{(13,1),(23,1),(25,1),(36,1)}
       20:{1,2,3,6,7}:{(14,1),(17,1)}
       21:{1,2,3,5,7}:{(15,1),(16,1),(27,1)}
       22:{1,2,4,5,6}:{(16,1),(27,1),(28,1)}
       23:{1,2,5,6,7}:{(17,1),(18,1),(19,1)}
       24:{1,4,5,6,7}:{(18,1),(30,1)}
       25:{2,4,5,6,7}:{(19,1),(31,1)}
       26:{1,2,3,5,6,7}:{(20,1),(21,1),(23,1),(32,1),(36,1),(49,1),(53,1)}
       27:{1,2,4,5,7}:{(21,1),(22,1),(32,1),(33,1)}
       28:{3,4,5,6}:{(22,1),(33,1)}
       29:{1,2,4,5,6,7}:{(23,1),(24,1),(25,1),(32,1),(36,1),(37,1),(38,1),(49,1)}
       30:{3,4,5,6,7}:{(24,1),(36,1),(37,1)}
       31:{3,4,5,6,7}:{(25,1),(36,1),(38,1)}
       32:{1,2,4,6,7}:{(26,1),(27,1),(39,1)}
       33:{3,4,5,7}:{(27,1),(28,1),(39,1)}
       34:{1,3,4,5,6}:{(28,1),(40,1),(42,1)}
       35:{2,3,4,5,6}:{(28,1),(41,1),(42,1)}
       36:{3,5,6,7}:{(29,1),(39,1)}
       37:{2,4,5,6,7}:{(30,1),(44,1)}
       38:{1,4,5,6,7}:{(31,1),(43,1)}
       39:{3,4,6,7}:{(32,1),(33,1),(36,1)}
       40:{1,3,4,5,7}:{(33,1),(34,1),(45,1),(47,1)}
       41:{2,3,4,5,7}:{(33,1),(35,1),(46,1),(47,1)}
       42:{1,2,4,5,6}:{(34,1),(35,1),(47,1),(48,1)}
       43:{1,3,5,6,7}:{(36,1),(38,1),(45,1),(49,1)}
       44:{2,3,5,6,7}:{(36,1),(37,1),(46,1),(49,1)}
       45:{1,3,4,6,7}:{(39,1),(40,1),(43,1),(50,1)}
       46:{2,3,4,6,7}:{(39,1),(41,1),(44,1),(50,1)}
       47:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(50,1),(51,1)}
       48:{1,2,3,5,6}:{(42,1),(51,1),(52,1)}
       49:{1,2,5,6,7}:{(43,1),(44,1),(50,1)}
       50:{1,2,4,6,7}:{(45,1),(46,1),(47,1),(49,1),(53,1)}
       51:{1,2,3,5,7}:{(47,1),(48,1),(53,1),(54,1)}
       52:{1,2,3,4,6}:{(48,1),(54,1),(55,1)}
       53:{1,2,3,6,7}:{(50,1),(51,1)}
       54:{1,2,3,4,7}:{(51,1),(52,1)}
       55:{1,2,3,4,5}:{(52,1)}

2340 :  0:{1,2,3,4,5}:{(2,1)}
        1:{1,2,3,4,5,7}:{(0,1),(4,1),(5,1),(17,1),(43,1),(55,1)}
        2:{1,2,3,4,6}:{(0,1),(3,1),(5,1)}
        3:{1,2,3,5,6}:{(2,1),(8,1),(9,1)}
        4:{1,2,3,4,6}:{(1,1),(10,1)}
        5:{1,2,3,4,7}:{(2,1),(9,1)}
        6:{2,3,4,5,6}:{(8,1),(12,1),(22,1)}
        7:{1,3,4,5,6}:{(8,1),(13,1),(22,1)}
        8:{1,2,4,5,6}:{(3,1),(6,1),(7,1),(14,1)}
        9:{1,2,3,5,7}:{(3,1),(5,1),(14,1),(15,1)}
       10:{1,2,3,5,6}:{(4,1),(16,1),(17,1)}
       11:{1,2,3,4,6,7}:{(4,1),(5,1),(15,1),(17,1),(27,1),(54,1),(55,1)}
       12:{2,3,4,5,7}:{(6,1),(14,1),(18,1),(30,1)}
       13:{1,3,4,5,7}:{(7,1),(14,1),(19,1),(30,1)}
       14:{1,2,4,5,7}:{(8,1),(9,1),(12,1),(13,1),(20,1)}
       15:{1,2,3,6,7}:{(9,1),(20,1)}
       16:{1,2,4,5,6}:{(10,1),(22,1),(23,1)}
       17:{1,2,3,5,7}:{(10,1),(11,1),(23,1)}
       18:{2,3,4,6,7}:{(12,1),(20,1),(24,1),(34,1)}
       19:{1,3,4,6,7}:{(13,1),(20,1),(25,1),(34,1)}
       20:{1,2,4,6,7}:{(14,1),(15,1),(18,1),(19,1),(26,1)}
       21:{1,2,3,5,6,7}:{(15,1),(17,1),(26,1),(27,1),(40,1),(53,1),(54,1)}
       22:{3,4,5,6}:{(16,1),(30,1)}
       23:{1,2,4,5,7}:{(16,1),(17,1),(27,1),(30,1)}
       24:{2,3,5,6,7}:{(18,1),(26,1),(31,1),(40,1)}
       25:{1,3,5,6,7}:{(19,1),(26,1),(32,1),(40,1)}
       26:{1,2,5,6,7}:{(20,1),(24,1),(25,1)}
       27:{1,2,4,6,7}:{(21,1),(23,1),(34,1)}
       28:{2,3,4,5,6}:{(22,1),(35,1),(36,1)}
       29:{1,3,4,5,6}:{(22,1),(35,1),(37,1)}
       30:{3,4,5,7}:{(22,1),(23,1),(34,1)}
       31:{2,4,5,6,7}:{(24,1),(38,1)}
       32:{1,4,5,6,7}:{(25,1),(39,1)}
       33:{1,2,4,5,6,7}:{(26,1),(27,1),(31,1),(32,1),(40,1),(46,1),(47,1),(53,1)}
       34:{3,4,6,7}:{(27,1),(30,1),(40,1)}
       35:{1,2,4,5,6}:{(28,1),(29,1),(44,1),(45,1)}
       36:{2,3,4,5,7}:{(28,1),(30,1),(41,1),(45,1)}
       37:{1,3,4,5,7}:{(29,1),(30,1),(42,1),(45,1)}
       38:{3,4,5,6,7}:{(31,1),(40,1),(46,1)}
       39:{3,4,5,6,7}:{(32,1),(40,1),(47,1)}
       40:{3,5,6,7}:{(33,1),(34,1)}
       41:{2,3,4,6,7}:{(34,1),(36,1),(48,1),(50,1)}
       42:{1,3,4,6,7}:{(34,1),(37,1),(49,1),(50,1)}
       43:{1,2,3,4,5}:{(51,1)}
       44:{1,2,3,5,6}:{(35,1),(51,1),(52,1)}
       45:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(50,1),(52,1)}
       46:{1,4,5,6,7}:{(38,1),(49,1)}
       47:{2,4,5,6,7}:{(39,1),(48,1)}
       48:{2,3,5,6,7}:{(40,1),(41,1),(47,1),(53,1)}
       49:{1,3,5,6,7}:{(40,1),(42,1),(46,1),(53,1)}
       50:{1,2,4,6,7}:{(41,1),(42,1),(45,1),(53,1),(54,1)}
       51:{1,2,3,4,6}:{(43,1),(44,1),(55,1)}
       52:{1,2,3,5,7}:{(44,1),(45,1),(54,1),(55,1)}
       53:{1,2,5,6,7}:{(48,1),(49,1),(50,1)}
       54:{1,2,3,6,7}:{(50,1),(52,1)}
       55:{1,2,3,4,7}:{(51,1),(52,1)}

2341 :  0:{2,3,4,5,6,7}:{(1,1),(9,1),(30,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(6,1),(33,1)}
        2:{1,3,5,6,7}:{(1,1),(4,1),(34,1)}
        3:{1,2,3,5,6,7}:{(2,1),(6,1),(14,1),(23,1)}
        4:{1,3,4,6,7}:{(2,1),(6,1),(7,1),(32,1)}
        5:{1,3,4,5,6,7}:{(8,1),(11,1),(26,1)}
        6:{1,2,4,6,7}:{(3,1),(4,1),(9,1),(10,1),(29,1)}
        7:{1,3,4,5,7}:{(4,1),(10,1),(11,1)}
        8:{1,2,4,5,6,7}:{(5,1),(13,1),(15,1),(21,1)}
        9:{2,3,4,6,7}:{(6,1),(14,1),(25,1)}
       10:{1,2,4,5,7}:{(6,1),(7,1),(14,1),(15,1)}
       11:{1,3,4,5,6}:{(7,1),(15,1),(32,1)}
       12:{1,2,3,4,6,7}:{(9,1),(17,1),(26,1),(29,1)}
       13:{2,3,5,6,7}:{(8,1),(18,1),(20,1)}
       14:{2,3,5,7}:{(9,1),(10,1),(20,1)}
       15:{1,2,4,5,6}:{(10,1),(11,1),(20,1),(29,1)}
       16:{1,2,3,5,6,7}:{(13,1),(21,1),(23,1),(31,1)}
       17:{1,2,3,5,7}:{(12,1),(14,1),(22,1),(23,1),(31,1)}
       18:{2,3,4,6,7}:{(13,1),(21,1),(24,1),(25,1)}
       19:{2,3,4,5,7}:{(14,1),(22,1),(25,1)}
       20:{2,3,5,6}:{(14,1),(15,1),(25,1)}
       21:{1,2,4,6,7}:{(16,1),(18,1),(26,1),(28,1),(29,1)}
       22:{1,2,4,5,7}:{(17,1),(19,1),(27,1),(29,1)}
       23:{1,2,3,5,6}:{(17,1),(20,1),(29,1),(34,1)}
       24:{2,3,4,5,7}:{(18,1),(28,1),(30,1)}
       25:{2,3,4,6}:{(19,1),(20,1),(29,1)}
       26:{1,3,4,6,7}:{(21,1),(31,1),(32,1)}
       27:{1,3,4,5,7}:{(22,1),(31,1),(32,1)}
       28:{1,2,4,5,7}:{(21,1),(24,1),(31,1),(33,1)}
       29:{1,2,4,6}:{(22,1),(23,1),(25,1),(32,1)}
       30:{2,3,4,5,6}:{(24,1),(25,1),(33,1)}
       31:{1,3,5,7}:{(26,1),(28,1),(34,1)}
       32:{1,3,4,6}:{(27,1),(29,1),(34,1)}
       33:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,3,5,6}:{(31,1),(32,1),(33,1)}

2342 :   0:{1,3,4,5,6}:{(3,1),(4,1),(31,1),(70,1),(113,1)}
         1:{2,3,4,5,6}:{(5,1),(6,1),(25,1),(65,1),(117,1)}
         2:{1,2,3,4,6}:{(7,1),(8,1),(37,1),(38,1)}
         3:{1,2,4,5,6}:{(0,1),(11,1),(12,1),(38,1),(85,1),(89,1)}
         4:{1,3,4,5,7}:{(0,1),(9,1),(12,1),(51,1),(96,1),(135,1)}
         5:{1,2,4,5,6}:{(1,1),(15,1),(16,1),(38,1),(85,1),(94,1)}
         6:{2,3,4,5,7}:{(1,1),(13,1),(16,1),(45,1),(91,1),(138,1)}
         7:{1,2,3,4,7}:{(2,1),(18,1),(61,1)}
         8:{1,2,3,5}:{(2,1),(19,1)}
         9:{1,3,4,6,7}:{(4,1),(22,1),(24,1),(114,1)}
        10:{2,3,4,5}:{(19,1),(25,1)}
        11:{2,3,5,6}:{(3,1),(25,1),(26,1)}
        12:{1,2,4,5,7}:{(3,1),(4,1),(24,1),(26,1),(61,1),(111,1),(115,1)}
        13:{2,3,4,6,7}:{(6,1),(28,1),(30,1),(118,1)}
        14:{1,3,4,5}:{(19,1),(31,1)}
        15:{1,3,5,6}:{(5,1),(31,1),(32,1)}
        16:{1,2,4,5,7}:{(5,1),(6,1),(30,1),(32,1),(61,1),(111,1),(119,1)}
        17:{1,2,3,4,6,7}:{(7,1),(35,1),(37,1),(72,1),(83,1),(86,1),(121,1),(131,1),(150,1)}
        18:{1,2,3,5,7}:{(7,1),(8,1),(36,1),(37,1)}
        19:{1,2,4,5}:{(8,1),(10,1),(14,1),(38,1)}
        20:{1,2,3,5,6}:{(8,1),(11,1),(15,1),(37,1),(38,1),(39,1),(85,1)}
        21:{3,4,5,6,7}:{(40,1),(41,1),(88,1),(138,1)}
        22:{1,3,5,6,7}:{(9,1),(41,1),(42,1),(88,1),(96,1)}
        23:{2,3,4,5,7}:{(10,1),(36,1),(43,1),(45,1),(82,1),(91,1)}
        24:{1,2,4,6,7}:{(9,1),(12,1),(42,1),(44,1),(90,1)}
        25:{2,3,4,6}:{(10,1),(11,1),(38,1),(45,1)}
        26:{2,3,5,7}:{(11,1),(12,1),(44,1),(45,1)}
        27:{3,4,5,6,7}:{(46,1),(47,1),(93,1),(135,1)}
        28:{2,3,5,6,7}:{(13,1),(46,1),(48,1),(91,1),(93,1)}
        29:{1,3,4,5,7}:{(14,1),(36,1),(49,1),(51,1),(82,1),(96,1)}
        30:{1,2,4,6,7}:{(13,1),(16,1),(48,1),(50,1),(95,1)}
        31:{1,3,4,6}:{(14,1),(15,1),(38,1),(51,1)}
        32:{1,3,5,7}:{(15,1),(16,1),(50,1),(51,1)}
        33:{1,3,4,5,6}:{(53,1),(54,1),(106,1),(117,1),(144,1)}
        34:{2,3,4,5,6}:{(55,1),(56,1),(102,1),(113,1),(142,1)}
        35:{1,2,3,5,7}:{(17,1),(57,1),(58,1),(111,1),(146,1),(153,1)}
        36:{1,2,4,5,7}:{(18,1),(19,1),(23,1),(29,1),(59,1),(61,1),(111,1)}
        37:{1,2,3,6}:{(18,1),(59,1)}
        38:{1,2,4,6}:{(19,1),(20,1),(25,1),(31,1),(61,1)}
        39:{1,2,3,5,7}:{(20,1),(26,1),(32,1),(60,1),(61,1),(111,1)}
        40:{2,4,5,6,7}:{(21,1),(62,1),(148,1)}
        41:{1,4,5,6,7}:{(21,1),(22,1),(119,1)}
        42:{1,2,5,6,7}:{(22,1),(24,1),(64,1),(111,1)}
        43:{2,3,4,6}:{(23,1),(59,1),(65,1),(108,1)}
        44:{2,3,6,7}:{(24,1),(26,1)}
        45:{2,3,4,7}:{(25,1),(26,1),(61,1)}
        46:{2,4,5,6,7}:{(27,1),(28,1),(115,1)}
        47:{1,4,5,6,7}:{(27,1),(67,1),(147,1)}
        48:{1,2,5,6,7}:{(28,1),(30,1),(69,1),(111,1)}
        49:{1,3,4,6}:{(29,1),(59,1),(70,1),(108,1)}
        50:{1,3,6,7}:{(30,1),(32,1)}
        51:{1,3,4,7}:{(31,1),(32,1),(61,1)}
        52:{1,2,3,4,6}:{(72,1),(73,1),(121,1),(122,1)}
        53:{1,2,4,5,6}:{(33,1),(76,1),(77,1),(122,1),(136,1),(149,1)}
        54:{1,3,4,5,7}:{(33,1),(74,1),(77,1),(129,1),(138,1),(152,1)}
        55:{1,2,4,5,6}:{(34,1),(80,1),(81,1),(122,1),(133,1),(149,1)}
        56:{2,3,4,5,7}:{(34,1),(78,1),(81,1),(126,1),(135,1),(151,1)}
        57:{1,2,4,5,7}:{(35,1),(82,1),(83,1)}
        58:{1,2,3,5,6}:{(35,1),(37,1),(83,1),(85,1),(121,1),(130,1),(149,1)}
        59:{1,2,4,6}:{(36,1),(37,1),(43,1),(49,1),(85,1)}
        60:{1,2,3,6,7}:{(37,1),(39,1),(44,1),(50,1),(86,1)}
        61:{1,2,4,7}:{(38,1),(39,1),(45,1),(51,1)}
        62:{2,3,5,6,7}:{(40,1),(78,1),(87,1),(88,1),(151,1)}
        63:{1,2,4,5,6,7}:{(40,1),(41,1),(42,1),(87,1),(88,1),(90,1),(132,1),(134,1)}
        64:{2,3,5,6,7}:{(42,1),(44,1),(88,1),(90,1),(91,1)}
        65:{2,3,5,6}:{(43,1),(85,1),(89,1),(91,1),(130,1)}
        66:{2,3,4,6,7}:{(43,1),(44,1),(45,1),(86,1),(90,1),(91,1),(131,1)}
        67:{1,3,5,6,7}:{(47,1),(74,1),(92,1),(93,1),(152,1)}
        68:{1,2,4,5,6,7}:{(46,1),(47,1),(48,1),(92,1),(93,1),(95,1),(132,1),(137,1)}
        69:{1,3,5,6,7}:{(48,1),(50,1),(93,1),(95,1),(96,1)}
        70:{1,3,5,6}:{(49,1),(85,1),(94,1),(96,1),(130,1)}
        71:{1,3,4,6,7}:{(49,1),(50,1),(51,1),(86,1),(95,1),(96,1),(131,1)}
        72:{1,2,3,4,7}:{(52,1),(97,1),(141,1)}
        73:{1,2,3,5}:{(52,1),(98,1)}
        74:{1,3,4,6,7}:{(54,1),(67,1),(101,1),(118,1)}
        75:{2,3,4,5}:{(98,1),(102,1)}
        76:{2,3,5,6}:{(53,1),(102,1),(103,1)}
        77:{1,2,4,5,7}:{(53,1),(54,1),(101,1),(103,1),(141,1),(148,1),(153,1)}
        78:{2,3,4,6,7}:{(56,1),(62,1),(105,1),(114,1)}
        79:{1,3,4,5}:{(98,1),(106,1)}
        80:{1,3,5,6}:{(55,1),(106,1),(107,1)}
        81:{1,2,4,5,7}:{(55,1),(56,1),(105,1),(107,1),(141,1),(147,1),(153,1)}
        82:{3,4,5,7}:{(57,1),(108,1),(146,1)}
        83:{1,2,4,6}:{(57,1),(58,1),(108,1)}
        84:{1,2,3,5,6,7}:{(58,1),(60,1),(64,1),(69,1),(110,1),(111,1),(112,1),(116,1),(140,1),(146,1),(153,1)}
        85:{1,2,5,6}:{(59,1),(65,1),(70,1),(111,1)}
        86:{1,2,4,6,7}:{(59,1),(60,1),(61,1),(66,1),(71,1),(111,1)}
        87:{1,2,5,6,7}:{(62,1),(105,1),(112,1),(153,1)}
        88:{3,5,6,7}:{(63,1),(114,1),(146,1)}
        89:{2,4,5,6}:{(65,1),(113,1),(115,1)}
        90:{2,4,6,7}:{(64,1),(114,1),(115,1)}
        91:{2,3,5,7}:{(65,1),(66,1),(111,1),(115,1),(146,1)}
        92:{1,2,5,6,7}:{(67,1),(101,1),(116,1),(153,1)}
        93:{3,5,6,7}:{(68,1),(118,1),(146,1)}
        94:{1,4,5,6}:{(70,1),(117,1),(119,1)}
        95:{1,4,6,7}:{(69,1),(118,1),(119,1)}
        96:{1,3,5,7}:{(70,1),(71,1),(111,1),(119,1),(146,1)}
        97:{1,2,3,5,7}:{(72,1),(73,1),(120,1),(121,1)}
        98:{1,2,4,5}:{(73,1),(75,1),(79,1),(122,1)}
        99:{1,2,3,5,6}:{(73,1),(76,1),(80,1),(121,1),(122,1),(123,1),(149,1)}
       100:{2,3,4,5,7}:{(75,1),(82,1),(120,1),(124,1),(126,1),(151,1)}
       101:{1,2,4,6,7}:{(74,1),(77,1),(92,1),(125,1),(137,1)}
       102:{2,3,4,6}:{(75,1),(76,1),(122,1),(126,1)}
       103:{2,3,5,7}:{(76,1),(77,1),(125,1),(126,1)}
       104:{1,3,4,5,7}:{(79,1),(82,1),(120,1),(127,1),(129,1),(152,1)}
       105:{1,2,4,6,7}:{(78,1),(81,1),(87,1),(128,1),(134,1)}
       106:{1,3,4,6}:{(79,1),(80,1),(122,1),(129,1)}
       107:{1,3,5,7}:{(80,1),(81,1),(128,1),(129,1)}
       108:{3,4,6}:{(82,1),(83,1),(130,1)}
       109:{1,2,4,5,6}:{(83,1),(85,1),(89,1),(94,1),(130,1),(132,1),(133,1),(136,1),(149,1)}
       110:{1,2,4,6,7}:{(83,1),(84,1),(90,1),(95,1),(131,1),(132,1),(134,1),(137,1)}
       111:{1,2,5,7}:{(85,1),(86,1),(91,1),(96,1)}
       112:{1,3,5,6,7}:{(87,1),(88,1),(128,1),(134,1),(152,1)}
       113:{3,4,5,6}:{(89,1),(130,1),(133,1),(135,1)}
       114:{3,4,6,7}:{(88,1),(90,1),(134,1),(135,1)}
       115:{2,4,5,7}:{(89,1),(90,1),(91,1),(135,1)}
       116:{2,3,5,6,7}:{(92,1),(93,1),(125,1),(137,1),(151,1)}
       117:{3,4,5,6}:{(94,1),(130,1),(136,1),(138,1)}
       118:{3,4,6,7}:{(93,1),(95,1),(137,1),(138,1)}
       119:{1,4,5,7}:{(94,1),(95,1),(96,1),(138,1)}
       120:{1,2,4,5,7}:{(97,1),(98,1),(100,1),(104,1),(139,1),(141,1),(153,1)}
       121:{1,2,3,6}:{(97,1),(139,1)}
       122:{1,2,4,6}:{(98,1),(99,1),(102,1),(106,1),(141,1)}
       123:{1,2,3,5,7}:{(99,1),(103,1),(107,1),(140,1),(141,1),(153,1)}
       124:{2,3,4,6}:{(100,1),(108,1),(139,1),(142,1)}
       125:{2,3,6,7}:{(101,1),(103,1)}
       126:{2,3,4,7}:{(102,1),(103,1),(141,1)}
       127:{1,3,4,6}:{(104,1),(108,1),(139,1),(144,1)}
       128:{1,3,6,7}:{(105,1),(107,1)}
       129:{1,3,4,7}:{(106,1),(107,1),(141,1)}
       130:{3,5,6}:{(108,1),(109,1),(146,1)}
       131:{3,4,6,7}:{(108,1),(110,1),(146,1)}
       132:{1,2,4,5,7}:{(109,1),(110,1),(111,1),(115,1),(119,1),(146,1),(147,1),(148,1),(153,1)}
       133:{1,4,5,6}:{(113,1),(144,1),(147,1)}
       134:{1,4,6,7}:{(112,1),(114,1),(147,1)}
       135:{3,4,5,7}:{(113,1),(114,1),(115,1),(146,1),(147,1)}
       136:{2,4,5,6}:{(117,1),(142,1),(148,1)}
       137:{2,4,6,7}:{(116,1),(118,1),(148,1)}
       138:{3,4,5,7}:{(117,1),(118,1),(119,1),(146,1),(148,1)}
       139:{1,2,4,6}:{(120,1),(121,1),(124,1),(127,1),(149,1)}
       140:{1,2,3,6,7}:{(121,1),(123,1),(125,1),(128,1),(150,1)}
       141:{1,2,4,7}:{(122,1),(123,1),(126,1),(129,1)}
       142:{2,3,5,6}:{(124,1),(130,1),(136,1),(149,1),(151,1)}
       143:{2,3,4,6,7}:{(124,1),(125,1),(126,1),(131,1),(137,1),(150,1),(151,1)}
       144:{1,3,5,6}:{(127,1),(130,1),(133,1),(149,1),(152,1)}
       145:{1,3,4,6,7}:{(127,1),(128,1),(129,1),(131,1),(134,1),(150,1),(152,1)}
       146:{3,5,7}:{(130,1),(131,1),(132,1)}
       147:{1,4,5,7}:{(133,1),(134,1),(135,1),(152,1)}
       148:{2,4,5,7}:{(136,1),(137,1),(138,1),(151,1)}
       149:{1,2,5,6}:{(139,1),(142,1),(144,1),(153,1)}
       150:{1,2,4,6,7}:{(139,1),(140,1),(141,1),(143,1),(145,1),(153,1)}
       151:{2,3,5,7}:{(142,1),(143,1),(146,1),(148,1),(153,1)}
       152:{1,3,5,7}:{(144,1),(145,1),(146,1),(147,1),(153,1)}
       153:{1,2,5,7}:{(149,1),(150,1),(151,1),(152,1)}

2343 :  0:{1,3,4,5,6,7}:{(1,1),(9,1),(30,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(6,1),(33,1)}
        2:{2,3,5,6,7}:{(1,1),(4,1),(34,1)}
        3:{1,2,3,5,6,7}:{(2,1),(6,1),(14,1),(23,1)}
        4:{2,3,4,6,7}:{(2,1),(6,1),(7,1),(32,1)}
        5:{2,3,4,5,6,7}:{(8,1),(11,1),(26,1)}
        6:{1,2,4,6,7}:{(3,1),(4,1),(9,1),(10,1),(29,1)}
        7:{2,3,4,5,7}:{(4,1),(10,1),(11,1)}
        8:{1,2,4,5,6,7}:{(5,1),(13,1),(15,1),(21,1)}
        9:{1,3,4,6,7}:{(6,1),(14,1),(25,1)}
       10:{1,2,4,5,7}:{(6,1),(7,1),(14,1),(15,1)}
       11:{2,3,4,5,6}:{(7,1),(15,1),(32,1)}
       12:{1,2,3,4,6,7}:{(9,1),(17,1),(26,1),(29,1)}
       13:{1,3,5,6,7}:{(8,1),(18,1),(20,1)}
       14:{1,3,5,7}:{(9,1),(10,1),(20,1)}
       15:{1,2,4,5,6}:{(10,1),(11,1),(20,1),(29,1)}
       16:{1,2,3,5,6,7}:{(13,1),(21,1),(23,1),(31,1)}
       17:{1,2,3,5,7}:{(12,1),(14,1),(22,1),(23,1),(31,1)}
       18:{1,3,4,6,7}:{(13,1),(21,1),(24,1),(25,1)}
       19:{1,3,4,5,7}:{(14,1),(22,1),(25,1)}
       20:{1,3,5,6}:{(14,1),(15,1),(25,1)}
       21:{1,2,4,6,7}:{(16,1),(18,1),(26,1),(28,1),(29,1)}
       22:{1,2,4,5,7}:{(17,1),(19,1),(27,1),(29,1)}
       23:{1,2,3,5,6}:{(17,1),(20,1),(29,1),(34,1)}
       24:{1,3,4,5,7}:{(18,1),(28,1),(30,1)}
       25:{1,3,4,6}:{(19,1),(20,1),(29,1)}
       26:{2,3,4,6,7}:{(21,1),(31,1),(32,1)}
       27:{2,3,4,5,7}:{(22,1),(31,1),(32,1)}
       28:{1,2,4,5,7}:{(21,1),(24,1),(31,1),(33,1)}
       29:{1,2,4,6}:{(22,1),(23,1),(25,1),(32,1)}
       30:{1,3,4,5,6}:{(24,1),(25,1),(33,1)}
       31:{2,3,5,7}:{(26,1),(28,1),(34,1)}
       32:{2,3,4,6}:{(27,1),(29,1),(34,1)}
       33:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,3,5,6}:{(31,1),(32,1),(33,1)}

2344 :  0:{1,3,4,5,6}:{(3,1),(4,1),(28,1),(82,1),(86,1)}
        1:{2,3,4,5,6}:{(5,1),(6,1),(25,1),(82,1),(85,1)}
        2:{3,4,5,6,7}:{(8,1),(9,1),(34,1),(68,1)}
        3:{1,3,4,5,7}:{(0,1),(10,1),(11,1),(43,1),(68,1),(74,1)}
        4:{1,2,4,5,6}:{(0,1),(11,1),(12,1),(36,1),(91,1),(93,1)}
        5:{2,3,4,5,7}:{(1,1),(13,1),(14,1),(40,1),(68,1),(72,1)}
        6:{1,2,4,5,6}:{(1,1),(14,1),(15,1),(36,1),(92,1),(93,1)}
        7:{1,2,3,4,6,7}:{(17,1),(37,1),(45,1),(48,1),(69,1),(71,1)}
        8:{1,4,5,6,7}:{(2,1),(18,1),(81,1)}
        9:{2,4,5,6,7}:{(2,1),(19,1),(80,1)}
       10:{1,3,4,6,7}:{(3,1),(18,1),(23,1),(52,1)}
       11:{1,2,4,5,7}:{(3,1),(4,1),(23,1),(24,1),(54,1),(80,1),(83,1)}
       12:{2,3,5,6}:{(4,1),(24,1),(25,1)}
       13:{2,3,4,6,7}:{(5,1),(19,1),(26,1),(52,1)}
       14:{1,2,4,5,7}:{(5,1),(6,1),(26,1),(27,1),(54,1),(81,1),(83,1)}
       15:{1,3,5,6}:{(6,1),(27,1),(28,1)}
       16:{1,2,3,5,6,7}:{(29,1),(31,1),(50,1),(51,1),(53,1),(61,1),(83,1)}
       17:{1,2,3,5,7}:{(7,1),(30,1),(31,1),(61,1),(83,1)}
       18:{1,3,5,6,7}:{(8,1),(10,1),(32,1),(34,1),(74,1)}
       19:{2,3,5,6,7}:{(9,1),(13,1),(33,1),(34,1),(72,1)}
       20:{1,2,4,5,6,7}:{(8,1),(9,1),(32,1),(33,1),(34,1),(47,1),(66,1),(67,1),(89,1)}
       21:{1,2,3,5,6}:{(12,1),(15,1),(35,1),(36,1),(38,1),(71,1),(93,1)}
       22:{1,2,3,4,6}:{(36,1),(37,1),(38,1),(71,1)}
       23:{1,2,4,6,7}:{(10,1),(11,1),(32,1),(39,1),(66,1)}
       24:{2,3,5,7}:{(11,1),(12,1),(39,1),(40,1)}
       25:{2,3,4,6}:{(12,1),(36,1),(40,1),(41,1)}
       26:{1,2,4,6,7}:{(13,1),(14,1),(33,1),(42,1),(67,1)}
       27:{1,3,5,7}:{(14,1),(15,1),(42,1),(43,1)}
       28:{1,3,4,6}:{(15,1),(36,1),(43,1),(44,1)}
       29:{1,2,4,6,7}:{(16,1),(45,1),(47,1),(48,1),(66,1),(67,1)}
       30:{1,2,4,5,7}:{(17,1),(46,1),(48,1)}
       31:{1,2,3,5,6}:{(17,1),(48,1),(71,1),(76,1),(93,1)}
       32:{1,2,5,6,7}:{(18,1),(23,1),(50,1),(83,1)}
       33:{1,2,5,6,7}:{(19,1),(26,1),(51,1),(83,1)}
       34:{3,5,6,7}:{(20,1),(52,1),(61,1),(94,1)}
       35:{1,2,3,5,7}:{(21,1),(24,1),(27,1),(53,1),(54,1),(83,1)}
       36:{1,2,4,6}:{(21,1),(25,1),(28,1),(54,1),(55,1)}
       37:{1,2,3,4,7}:{(22,1),(54,1),(56,1)}
       38:{1,2,3,5}:{(22,1),(55,1)}
       39:{2,3,6,7}:{(23,1),(24,1)}
       40:{2,3,4,7}:{(24,1),(25,1),(54,1)}
       41:{2,3,4,5}:{(25,1),(55,1)}
       42:{1,3,6,7}:{(26,1),(27,1)}
       43:{1,3,4,7}:{(27,1),(28,1),(54,1)}
       44:{1,3,4,5}:{(28,1),(55,1)}
       45:{3,4,6,7}:{(29,1),(61,1),(62,1)}
       46:{3,4,5,7}:{(30,1),(61,1),(62,1)}
       47:{1,2,4,5,7}:{(29,1),(61,1),(63,1),(80,1),(81,1),(83,1)}
       48:{1,2,4,6}:{(30,1),(31,1),(62,1)}
       49:{1,2,3,4,6,7}:{(37,1),(65,1),(69,1),(71,1),(87,1),(90,1)}
       50:{2,3,5,6,7}:{(32,1),(34,1),(39,1),(66,1),(72,1)}
       51:{1,3,5,6,7}:{(33,1),(34,1),(42,1),(67,1),(74,1)}
       52:{3,4,6,7}:{(34,1),(66,1),(67,1),(68,1)}
       53:{1,2,3,6,7}:{(35,1),(39,1),(42,1),(69,1),(71,1)}
       54:{1,2,4,7}:{(35,1),(36,1),(40,1),(43,1)}
       55:{1,2,4,5}:{(36,1),(38,1),(41,1),(44,1)}
       56:{1,2,3,5,7}:{(37,1),(38,1),(70,1),(71,1)}
       57:{2,3,4,6,7}:{(39,1),(40,1),(45,1),(66,1),(69,1),(72,1),(73,1),(87,1)}
       58:{2,3,4,5,7}:{(40,1),(41,1),(46,1),(70,1),(72,1),(73,1),(88,1)}
       59:{1,3,4,6,7}:{(42,1),(43,1),(45,1),(67,1),(69,1),(74,1),(75,1),(87,1)}
       60:{1,3,4,5,7}:{(43,1),(44,1),(46,1),(70,1),(74,1),(75,1),(88,1)}
       61:{3,5,7}:{(45,1),(47,1),(76,1)}
       62:{3,4,6}:{(46,1),(48,1),(76,1)}
       63:{1,2,4,5,6}:{(47,1),(48,1),(76,1),(91,1),(92,1),(93,1)}
       64:{1,2,3,5,6,7}:{(50,1),(51,1),(53,1),(77,1),(79,1),(83,1),(94,1)}
       65:{1,2,3,5,7}:{(49,1),(78,1),(79,1),(83,1),(94,1)}
       66:{2,4,6,7}:{(50,1),(52,1),(80,1)}
       67:{1,4,6,7}:{(51,1),(52,1),(81,1)}
       68:{3,4,5,7}:{(52,1),(61,1),(80,1),(81,1),(82,1),(94,1)}
       69:{1,2,4,6,7}:{(53,1),(54,1),(57,1),(59,1),(83,1),(84,1)}
       70:{1,2,4,5,7}:{(54,1),(55,1),(56,1),(58,1),(60,1),(83,1),(84,1)}
       71:{1,2,3,6}:{(56,1),(84,1)}
       72:{2,3,5,7}:{(57,1),(61,1),(80,1),(83,1),(85,1),(94,1)}
       73:{2,3,4,6}:{(58,1),(62,1),(84,1),(85,1),(95,1)}
       74:{1,3,5,7}:{(59,1),(61,1),(81,1),(83,1),(86,1),(94,1)}
       75:{1,3,4,6}:{(60,1),(62,1),(84,1),(86,1),(95,1)}
       76:{3,5,6}:{(61,1),(62,1),(63,1)}
       77:{1,2,4,6,7}:{(64,1),(66,1),(67,1),(87,1),(89,1),(90,1)}
       78:{1,2,4,5,7}:{(65,1),(88,1),(90,1)}
       79:{1,2,3,5,6}:{(65,1),(71,1),(90,1),(93,1),(97,1)}
       80:{2,4,5,7}:{(66,1),(68,1),(72,1),(91,1)}
       81:{1,4,5,7}:{(67,1),(68,1),(74,1),(92,1)}
       82:{3,4,5,6}:{(68,1),(76,1),(91,1),(92,1),(97,1)}
       83:{1,2,5,7}:{(69,1),(72,1),(74,1),(93,1)}
       84:{1,2,4,6}:{(70,1),(71,1),(73,1),(75,1),(93,1)}
       85:{2,3,5,6}:{(72,1),(73,1),(76,1),(91,1),(93,1),(97,1)}
       86:{1,3,5,6}:{(74,1),(75,1),(76,1),(92,1),(93,1),(97,1)}
       87:{3,4,6,7}:{(77,1),(94,1),(95,1)}
       88:{3,4,5,7}:{(78,1),(94,1),(95,1)}
       89:{1,2,4,5,7}:{(77,1),(80,1),(81,1),(83,1),(94,1),(96,1)}
       90:{1,2,4,6}:{(78,1),(79,1),(95,1)}
       91:{2,4,5,6}:{(80,1),(82,1),(85,1)}
       92:{1,4,5,6}:{(81,1),(82,1),(86,1)}
       93:{1,2,5,6}:{(83,1),(84,1),(85,1),(86,1)}
       94:{3,5,7}:{(87,1),(89,1),(97,1)}
       95:{3,4,6}:{(88,1),(90,1),(97,1)}
       96:{1,2,4,5,6}:{(89,1),(90,1),(91,1),(92,1),(93,1),(97,1)}
       97:{3,5,6}:{(94,1),(95,1),(96,1)}

2345 :  0:{1,2,3,4,6,7}:{(3,1),(14,1),(25,1),(50,1),(60,1),(85,1)}
        1:{1,3,4,5,6}:{(6,1),(7,1),(40,1),(66,1),(73,1)}
        2:{2,3,4,5,6}:{(8,1),(9,1),(36,1),(66,1),(71,1)}
        3:{1,2,3,5,7}:{(0,1),(10,1),(11,1),(75,1),(93,1)}
        4:{3,4,5,6,7}:{(12,1),(13,1),(48,1),(83,1)}
        5:{1,2,3,4,6}:{(14,1),(15,1),(50,1),(51,1)}
        6:{1,2,4,5,6}:{(1,1),(18,1),(19,1),(51,1),(79,1),(84,1)}
        7:{1,3,4,5,7}:{(1,1),(16,1),(19,1),(58,1),(83,1),(87,1)}
        8:{1,2,4,5,6}:{(2,1),(22,1),(23,1),(51,1),(81,1),(84,1)}
        9:{2,3,4,5,7}:{(2,1),(20,1),(23,1),(55,1),(83,1),(86,1)}
       10:{1,2,4,5,7}:{(3,1),(24,1),(25,1)}
       11:{1,2,3,5,6}:{(3,1),(25,1),(50,1),(59,1),(84,1)}
       12:{2,4,5,6,7}:{(4,1),(29,1),(91,1)}
       13:{1,4,5,6,7}:{(4,1),(28,1),(92,1)}
       14:{1,2,3,4,7}:{(5,1),(31,1),(70,1)}
       15:{1,2,3,5}:{(5,1),(32,1)}
       16:{1,3,4,6,7}:{(7,1),(28,1),(35,1),(67,1)}
       17:{2,3,4,5}:{(32,1),(36,1)}
       18:{2,3,5,6}:{(6,1),(36,1),(37,1)}
       19:{1,2,4,5,7}:{(6,1),(7,1),(35,1),(37,1),(70,1),(91,1),(93,1)}
       20:{2,3,4,6,7}:{(9,1),(29,1),(39,1),(67,1)}
       21:{1,3,4,5}:{(32,1),(40,1)}
       22:{1,3,5,6}:{(8,1),(40,1),(41,1)}
       23:{1,2,4,5,7}:{(8,1),(9,1),(39,1),(41,1),(70,1),(92,1),(93,1)}
       24:{3,4,5,7}:{(10,1),(42,1),(75,1)}
       25:{1,2,4,6}:{(10,1),(11,1),(42,1)}
       26:{1,2,3,5,6,7}:{(11,1),(44,1),(64,1),(65,1),(69,1),(75,1),(93,1)}
       27:{1,2,3,4,6,7}:{(14,1),(45,1),(50,1),(77,1),(85,1),(95,1)}
       28:{1,3,5,6,7}:{(13,1),(16,1),(46,1),(48,1),(87,1)}
       29:{2,3,5,6,7}:{(12,1),(20,1),(47,1),(48,1),(86,1)}
       30:{1,2,4,5,6,7}:{(12,1),(13,1),(46,1),(47,1),(48,1),(61,1),(80,1),(82,1),(96,1)}
       31:{1,2,3,5,7}:{(14,1),(15,1),(49,1),(50,1)}
       32:{1,2,4,5}:{(15,1),(17,1),(21,1),(51,1)}
       33:{1,2,3,5,6}:{(15,1),(18,1),(22,1),(50,1),(51,1),(52,1),(84,1)}
       34:{2,3,4,5,7}:{(17,1),(24,1),(49,1),(53,1),(55,1),(76,1),(86,1)}
       35:{1,2,4,6,7}:{(16,1),(19,1),(46,1),(54,1),(80,1)}
       36:{2,3,4,6}:{(17,1),(18,1),(51,1),(55,1)}
       37:{2,3,5,7}:{(18,1),(19,1),(54,1),(55,1)}
       38:{1,3,4,5,7}:{(21,1),(24,1),(49,1),(56,1),(58,1),(76,1),(87,1)}
       39:{1,2,4,6,7}:{(20,1),(23,1),(47,1),(57,1),(82,1)}
       40:{1,3,4,6}:{(21,1),(22,1),(51,1),(58,1)}
       41:{1,3,5,7}:{(22,1),(23,1),(57,1),(58,1)}
       42:{3,4,6}:{(24,1),(25,1),(59,1)}
       43:{1,2,4,5,6}:{(25,1),(59,1),(61,1),(79,1),(81,1),(84,1)}
       44:{1,2,4,6,7}:{(25,1),(26,1),(60,1),(61,1),(80,1),(82,1)}
       45:{1,2,3,5,7}:{(27,1),(62,1),(63,1),(93,1),(97,1)}
       46:{1,2,5,6,7}:{(28,1),(35,1),(64,1),(93,1)}
       47:{1,2,5,6,7}:{(29,1),(39,1),(65,1),(93,1)}
       48:{3,5,6,7}:{(30,1),(67,1),(75,1),(97,1)}
       49:{1,2,4,5,7}:{(31,1),(32,1),(34,1),(38,1),(68,1),(70,1),(93,1)}
       50:{1,2,3,6}:{(31,1),(68,1)}
       51:{1,2,4,6}:{(32,1),(33,1),(36,1),(40,1),(70,1)}
       52:{1,2,3,5,7}:{(33,1),(37,1),(41,1),(69,1),(70,1),(93,1)}
       53:{2,3,4,6}:{(34,1),(42,1),(68,1),(71,1),(88,1)}
       54:{2,3,6,7}:{(35,1),(37,1)}
       55:{2,3,4,7}:{(36,1),(37,1),(70,1)}
       56:{1,3,4,6}:{(38,1),(42,1),(68,1),(73,1),(88,1)}
       57:{1,3,6,7}:{(39,1),(41,1)}
       58:{1,3,4,7}:{(40,1),(41,1),(70,1)}
       59:{3,5,6}:{(42,1),(43,1),(75,1)}
       60:{3,4,6,7}:{(42,1),(44,1),(75,1)}
       61:{1,2,4,5,7}:{(43,1),(44,1),(75,1),(91,1),(92,1),(93,1)}
       62:{1,2,4,5,7}:{(45,1),(76,1),(77,1)}
       63:{1,2,3,5,6}:{(45,1),(50,1),(77,1),(84,1),(94,1)}
       64:{2,3,5,6,7}:{(46,1),(48,1),(54,1),(80,1),(86,1)}
       65:{1,3,5,6,7}:{(47,1),(48,1),(57,1),(82,1),(87,1)}
       66:{3,4,5,6}:{(59,1),(79,1),(81,1),(83,1),(94,1)}
       67:{3,4,6,7}:{(48,1),(80,1),(82,1),(83,1)}
       68:{1,2,4,6}:{(49,1),(50,1),(53,1),(56,1),(84,1)}
       69:{1,2,3,6,7}:{(50,1),(52,1),(54,1),(57,1),(85,1)}
       70:{1,2,4,7}:{(51,1),(52,1),(55,1),(58,1)}
       71:{2,3,5,6}:{(53,1),(59,1),(79,1),(84,1),(86,1),(94,1)}
       72:{2,3,4,6,7}:{(53,1),(54,1),(55,1),(60,1),(80,1),(85,1),(86,1),(95,1)}
       73:{1,3,5,6}:{(56,1),(59,1),(81,1),(84,1),(87,1),(94,1)}
       74:{1,3,4,6,7}:{(56,1),(57,1),(58,1),(60,1),(82,1),(85,1),(87,1),(95,1)}
       75:{3,5,7}:{(59,1),(60,1),(61,1)}
       76:{3,4,5,7}:{(62,1),(88,1),(97,1)}
       77:{1,2,4,6}:{(62,1),(63,1),(88,1)}
       78:{1,2,3,5,6,7}:{(63,1),(64,1),(65,1),(69,1),(90,1),(93,1),(97,1)}
       79:{2,4,5,6}:{(66,1),(71,1),(91,1)}
       80:{2,4,6,7}:{(64,1),(67,1),(91,1)}
       81:{1,4,5,6}:{(66,1),(73,1),(92,1)}
       82:{1,4,6,7}:{(65,1),(67,1),(92,1)}
       83:{3,4,5,7}:{(66,1),(67,1),(75,1),(91,1),(92,1),(97,1)}
       84:{1,2,5,6}:{(68,1),(71,1),(73,1),(93,1)}
       85:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(72,1),(74,1),(93,1)}
       86:{2,3,5,7}:{(71,1),(72,1),(75,1),(91,1),(93,1),(97,1)}
       87:{1,3,5,7}:{(73,1),(74,1),(75,1),(92,1),(93,1),(97,1)}
       88:{3,4,6}:{(76,1),(77,1),(94,1)}
       89:{1,2,4,5,6}:{(77,1),(79,1),(81,1),(84,1),(94,1),(96,1)}
       90:{1,2,4,6,7}:{(77,1),(78,1),(80,1),(82,1),(95,1),(96,1)}
       91:{2,4,5,7}:{(79,1),(80,1),(83,1),(86,1)}
       92:{1,4,5,7}:{(81,1),(82,1),(83,1),(87,1)}
       93:{1,2,5,7}:{(84,1),(85,1),(86,1),(87,1)}
       94:{3,5,6}:{(88,1),(89,1),(97,1)}
       95:{3,4,6,7}:{(88,1),(90,1),(97,1)}
       96:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(92,1),(93,1),(97,1)}
       97:{3,5,7}:{(94,1),(95,1),(96,1)}

2346 :  0:{1,2,3,4,5,7}:{(1,1),(4,1),(6,1),(14,1)}
        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),(14,1),(18,1),(30,1)}
        4:{1,2,3,4,5}:{(8,1)}
        5:{1,2,4,5,6}:{(2,1),(9,1),(10,1)}
        6:{1,2,3,5,7}:{(2,1),(3,1),(10,1)}
        7:{1,2,3,4,5,7}:{(4,1),(12,1),(14,1),(28,1)}
        8:{1,2,3,4,6}:{(4,1),(13,1),(14,1)}
        9:{3,4,5,6}:{(5,1),(17,1)}
       10:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(18,1)}
       11:{1,2,3,5,6,7}:{(6,1),(18,1),(30,1),(33,1),(45,1)}
       12:{1,2,3,4,6}:{(7,1),(19,1)}
       13:{1,2,3,5,6}:{(8,1),(21,1),(22,1)}
       14:{1,2,3,4,7}:{(8,1),(22,1)}
       15:{2,3,4,5,6}:{(9,1),(21,1),(23,1),(34,1)}
       16:{1,3,4,5,6}:{(9,1),(21,1),(24,1),(34,1)}
       17:{3,4,5,7}:{(9,1),(10,1),(25,1)}
       18:{1,2,4,6,7}:{(10,1),(11,1),(25,1)}
       19:{1,2,3,5,6}:{(12,1),(27,1),(28,1)}
       20:{1,2,3,4,6,7}:{(12,1),(14,1),(28,1),(30,1),(42,1)}
       21:{1,2,4,5,6}:{(13,1),(15,1),(16,1),(29,1)}
       22:{1,2,3,5,7}:{(13,1),(14,1),(29,1),(30,1)}
       23:{2,3,4,5,7}:{(15,1),(17,1),(29,1),(31,1),(41,1)}
       24:{1,3,4,5,7}:{(16,1),(17,1),(29,1),(32,1),(41,1)}
       25:{3,4,6,7}:{(17,1),(18,1),(33,1)}
       26:{1,2,4,5,6,7}:{(18,1),(33,1),(43,1),(44,1),(45,1)}
       27:{1,2,4,5,6}:{(19,1),(34,1),(35,1)}
       28:{1,2,3,5,7}:{(19,1),(20,1),(35,1)}
       29:{1,2,4,5,7}:{(21,1),(22,1),(23,1),(24,1),(38,1)}
       30:{1,2,3,6,7}:{(22,1),(38,1)}
       31:{2,3,4,6,7}:{(23,1),(25,1),(38,1),(39,1),(46,1)}
       32:{1,3,4,6,7}:{(24,1),(25,1),(38,1),(40,1),(46,1)}
       33:{3,5,6,7}:{(25,1),(26,1)}
       34:{3,4,5,6}:{(27,1),(41,1)}
       35:{1,2,4,5,7}:{(27,1),(28,1),(41,1),(42,1)}
       36:{1,2,3,5,6,7}:{(28,1),(30,1),(42,1),(45,1),(48,1)}
       37:{3,4,5,6,7}:{(33,1),(43,1),(44,1),(48,1)}
       38:{1,2,4,6,7}:{(29,1),(30,1),(31,1),(32,1),(45,1)}
       39:{2,3,5,6,7}:{(31,1),(33,1),(43,1),(45,1),(48,1)}
       40:{1,3,5,6,7}:{(32,1),(33,1),(44,1),(45,1),(48,1)}
       41:{3,4,5,7}:{(34,1),(35,1),(46,1)}
       42:{1,2,4,6,7}:{(35,1),(36,1),(46,1)}
       43:{2,4,5,6,7}:{(37,1),(39,1)}
       44:{1,4,5,6,7}:{(37,1),(40,1)}
       45:{1,2,5,6,7}:{(38,1),(39,1),(40,1)}
       46:{3,4,6,7}:{(41,1),(42,1),(48,1)}
       47:{1,2,4,5,6,7}:{(42,1),(43,1),(44,1),(45,1),(48,1)}
       48:{3,5,6,7}:{(46,1),(47,1)}

2347 :  0:{1,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{2,3,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{2,3,4,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,2,4,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{2,3,4,5,7}:{(4,1),(8,1),(9,1)}
        7:{1,3,4,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,2,4,5,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{2,3,4,5,6}:{(6,1),(12,1),(27,1)}
       10:{1,2,3,4,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{1,3,5,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6}:{(8,1),(9,1),(16,1),(23,1)}
       13:{2,3,4,5,6,7}:{(9,1),(17,1),(32,1)}
       14:{1,2,3,5,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{1,3,4,5,7}:{(11,1),(18,1),(20,1)}
       16:{1,3,5,6}:{(11,1),(12,1),(20,1)}
       17:{1,2,4,5,6,7}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,2,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(14,1),(16,1),(23,1),(31,1)}
       20:{1,3,4,6}:{(15,1),(16,1),(23,1)}
       21:{1,3,5,6,7}:{(16,1),(17,1),(26,1)}
       22:{2,3,4,5,7}:{(18,1),(27,1),(34,1)}
       23:{1,2,4,6}:{(18,1),(19,1),(20,1),(27,1)}
       24:{1,2,3,5,6,7}:{(19,1),(21,1),(29,1),(34,1)}
       25:{1,3,4,5,6}:{(20,1),(28,1),(30,1)}
       26:{1,3,4,6,7}:{(20,1),(21,1),(29,1),(30,1)}
       27:{2,3,4,6}:{(22,1),(23,1),(31,1)}
       28:{1,2,4,5,6}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{1,3,4,5,7}:{(25,1),(26,1),(33,1)}
       31:{2,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{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:{2,3,5,7}:{(31,1),(32,1),(33,1)}

2348 :  0:{1,2,3,4,5}:{(2,1)}
        1:{1,2,3,4,5,7}:{(0,1),(3,1),(5,1),(15,1),(26,1),(43,1)}
        2:{1,2,3,4,6}:{(0,1),(4,1),(5,1)}
        3:{1,2,3,4,6}:{(1,1),(8,1)}
        4:{1,2,3,5,6}:{(2,1),(7,1),(10,1)}
        5:{1,2,3,4,7}:{(2,1),(10,1)}
        6:{2,3,4,5,6}:{(7,1),(11,1),(20,1)}
        7:{1,2,4,5,6}:{(4,1),(6,1),(12,1),(13,1)}
        8:{1,2,3,5,6}:{(3,1),(14,1),(15,1)}
        9:{1,2,3,4,6,7}:{(3,1),(5,1),(15,1),(16,1),(30,1),(43,1),(55,1)}
       10:{1,2,3,5,7}:{(4,1),(5,1),(13,1),(16,1)}
       11:{2,3,4,5,7}:{(6,1),(13,1),(17,1),(29,1)}
       12:{1,3,4,5,6}:{(7,1),(18,1),(20,1)}
       13:{1,2,4,5,7}:{(7,1),(10,1),(11,1),(18,1),(19,1)}
       14:{1,2,4,5,6}:{(8,1),(20,1),(21,1)}
       15:{1,2,3,5,7}:{(8,1),(9,1),(21,1)}
       16:{1,2,3,6,7}:{(10,1),(19,1)}
       17:{2,3,4,6,7}:{(11,1),(19,1),(23,1),(38,1)}
       18:{1,3,4,5,7}:{(12,1),(13,1),(24,1),(29,1)}
       19:{1,2,4,6,7}:{(13,1),(16,1),(17,1),(24,1),(25,1)}
       20:{3,4,5,6}:{(14,1),(29,1)}
       21:{1,2,4,5,7}:{(14,1),(15,1),(29,1),(30,1)}
       22:{1,2,3,5,6,7}:{(15,1),(16,1),(25,1),(30,1),(41,1),(54,1),(55,1)}
       23:{2,3,5,6,7}:{(17,1),(25,1),(31,1),(41,1)}
       24:{1,3,4,6,7}:{(18,1),(19,1),(32,1),(38,1)}
       25:{1,2,5,6,7}:{(19,1),(23,1),(32,1)}
       26:{1,2,3,4,5}:{(34,1)}
       27:{1,3,4,5,6}:{(20,1),(35,1),(36,1)}
       28:{2,3,4,5,6}:{(20,1),(35,1),(37,1)}
       29:{3,4,5,7}:{(20,1),(21,1),(38,1)}
       30:{1,2,4,6,7}:{(21,1),(22,1),(38,1)}
       31:{2,4,5,6,7}:{(23,1),(39,1)}
       32:{1,3,5,6,7}:{(24,1),(25,1),(40,1),(41,1)}
       33:{1,2,4,5,6,7}:{(25,1),(30,1),(31,1),(40,1),(41,1),(47,1),(53,1),(54,1)}
       34:{1,2,3,4,6}:{(26,1),(42,1),(43,1)}
       35:{1,2,4,5,6}:{(27,1),(28,1),(42,1),(44,1)}
       36:{1,3,4,5,7}:{(27,1),(29,1),(44,1),(45,1)}
       37:{2,3,4,5,7}:{(28,1),(29,1),(44,1),(46,1)}
       38:{3,4,6,7}:{(29,1),(30,1),(41,1)}
       39:{3,4,5,6,7}:{(31,1),(41,1),(47,1)}
       40:{1,4,5,6,7}:{(32,1),(48,1)}
       41:{3,5,6,7}:{(33,1),(38,1)}
       42:{1,2,3,5,6}:{(34,1),(35,1),(51,1)}
       43:{1,2,3,4,7}:{(34,1),(51,1)}
       44:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(51,1),(52,1)}
       45:{1,3,4,6,7}:{(36,1),(38,1),(49,1),(52,1)}
       46:{2,3,4,6,7}:{(37,1),(38,1),(50,1),(52,1)}
       47:{1,4,5,6,7}:{(39,1),(49,1)}
       48:{3,4,5,6,7}:{(40,1),(41,1),(53,1)}
       49:{1,3,5,6,7}:{(41,1),(45,1),(47,1),(54,1)}
       50:{2,3,5,6,7}:{(41,1),(46,1),(53,1),(54,1)}
       51:{1,2,3,5,7}:{(42,1),(43,1),(44,1),(55,1)}
       52:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(54,1),(55,1)}
       53:{2,4,5,6,7}:{(48,1),(50,1)}
       54:{1,2,5,6,7}:{(49,1),(50,1),(52,1)}
       55:{1,2,3,6,7}:{(51,1),(52,1)}

2349 :   0:{1,3,4,5,6}:{(3,1),(4,1),(67,1),(72,1),(124,1)}
         1:{3,4,5,6,7}:{(6,1),(7,1),(41,1),(152,1)}
         2:{1,2,3,4,6}:{(9,1),(10,1),(47,1),(48,1)}
         3:{1,2,4,5,6}:{(0,1),(13,1),(14,1),(48,1),(95,1),(104,1)}
         4:{1,3,4,5,7}:{(0,1),(11,1),(14,1),(99,1),(103,1),(140,1)}
         5:{2,3,4,5,6}:{(16,1),(17,1),(67,1),(110,1),(142,1)}
         6:{2,4,5,6,7}:{(1,1),(20,1),(153,1)}
         7:{1,4,5,6,7}:{(1,1),(19,1),(148,1)}
         8:{2,3,4,5,6}:{(22,1),(23,1),(29,1),(77,1),(145,1)}
         9:{1,2,3,4,7}:{(2,1),(24,1),(76,1)}
        10:{1,2,3,5}:{(2,1),(25,1)}
        11:{1,3,4,6,7}:{(4,1),(19,1),(28,1),(68,1)}
        12:{2,3,4,5}:{(25,1),(29,1)}
        13:{2,3,5,6}:{(3,1),(29,1),(30,1)}
        14:{1,2,4,5,7}:{(3,1),(4,1),(28,1),(30,1),(76,1),(121,1),(126,1)}
        15:{1,2,3,4,6}:{(32,1),(33,1),(84,1),(85,1)}
        16:{1,2,4,5,6}:{(5,1),(36,1),(37,1),(85,1),(97,1),(131,1)}
        17:{2,3,4,5,7}:{(5,1),(34,1),(37,1),(99,1),(130,1),(151,1)}
        18:{1,2,3,4,6,7}:{(9,1),(32,1),(38,1),(47,1),(84,1),(93,1),(105,1),(132,1),(136,1)}
        19:{1,3,5,6,7}:{(7,1),(11,1),(39,1),(41,1),(140,1)}
        20:{2,3,5,6,7}:{(6,1),(34,1),(40,1),(41,1),(151,1)}
        21:{1,2,4,5,6,7}:{(6,1),(7,1),(39,1),(40,1),(41,1),(96,1),(98,1),(137,1)}
        22:{1,2,4,5,6}:{(8,1),(44,1),(45,1),(48,1),(104,1),(138,1)}
        23:{2,3,4,5,7}:{(8,1),(42,1),(45,1),(52,1),(106,1),(152,1)}
        24:{1,2,3,5,7}:{(9,1),(10,1),(46,1),(47,1)}
        25:{1,2,4,5}:{(10,1),(12,1),(43,1),(48,1)}
        26:{1,2,3,5,6}:{(10,1),(13,1),(44,1),(47,1),(48,1),(49,1),(104,1)}
        27:{2,3,4,5,7}:{(12,1),(46,1),(50,1),(52,1),(92,1),(106,1)}
        28:{1,2,4,6,7}:{(11,1),(14,1),(39,1),(51,1),(96,1)}
        29:{2,3,4,6}:{(12,1),(13,1),(48,1),(52,1)}
        30:{2,3,5,7}:{(13,1),(14,1),(51,1),(52,1)}
        31:{1,3,4,5,6}:{(53,1),(54,1),(60,1),(115,1),(145,1)}
        32:{1,2,3,4,7}:{(15,1),(55,1),(114,1)}
        33:{1,2,3,5}:{(15,1),(56,1)}
        34:{2,3,4,6,7}:{(17,1),(20,1),(59,1),(68,1)}
        35:{1,3,4,5}:{(56,1),(60,1)}
        36:{1,3,5,6}:{(16,1),(60,1),(61,1)}
        37:{1,2,4,5,7}:{(16,1),(17,1),(59,1),(61,1),(114,1),(122,1),(144,1)}
        38:{1,2,3,5,7}:{(18,1),(63,1),(64,1),(126,1),(144,1),(147,1)}
        39:{1,2,5,6,7}:{(19,1),(28,1),(65,1),(126,1)}
        40:{1,2,5,6,7}:{(20,1),(59,1),(66,1),(144,1)}
        41:{3,5,6,7}:{(21,1),(68,1),(147,1)}
        42:{2,3,4,6,7}:{(23,1),(69,1),(71,1),(146,1)}
        43:{1,3,4,5}:{(25,1),(72,1)}
        44:{1,3,5,6}:{(22,1),(72,1),(73,1)}
        45:{1,2,4,5,7}:{(22,1),(23,1),(71,1),(73,1),(76,1),(126,1),(148,1)}
        46:{1,2,4,5,7}:{(24,1),(25,1),(27,1),(70,1),(74,1),(76,1),(126,1)}
        47:{1,2,3,6}:{(24,1),(74,1)}
        48:{1,2,4,6}:{(25,1),(26,1),(29,1),(72,1),(76,1)}
        49:{1,2,3,5,7}:{(26,1),(30,1),(73,1),(75,1),(76,1),(126,1)}
        50:{2,3,4,6}:{(27,1),(74,1),(77,1),(118,1)}
        51:{2,3,6,7}:{(28,1),(30,1)}
        52:{2,3,4,7}:{(29,1),(30,1),(76,1)}
        53:{1,2,4,5,6}:{(31,1),(81,1),(82,1),(85,1),(131,1),(149,1)}
        54:{1,3,4,5,7}:{(31,1),(79,1),(82,1),(89,1),(133,1),(152,1)}
        55:{1,2,3,5,7}:{(32,1),(33,1),(83,1),(84,1)}
        56:{1,2,4,5}:{(33,1),(35,1),(80,1),(85,1)}
        57:{1,2,3,5,6}:{(33,1),(36,1),(81,1),(84,1),(85,1),(86,1),(131,1)}
        58:{1,3,4,5,7}:{(35,1),(83,1),(87,1),(89,1),(92,1),(133,1)}
        59:{1,2,4,6,7}:{(34,1),(37,1),(40,1),(88,1),(98,1)}
        60:{1,3,4,6}:{(35,1),(36,1),(85,1),(89,1)}
        61:{1,3,5,7}:{(36,1),(37,1),(88,1),(89,1)}
        62:{3,4,5,6,7}:{(90,1),(91,1),(99,1),(134,1)}
        63:{1,2,4,5,7}:{(38,1),(92,1),(93,1)}
        64:{1,2,3,5,6}:{(38,1),(47,1),(84,1),(93,1),(104,1),(131,1),(135,1)}
        65:{2,3,5,6,7}:{(39,1),(41,1),(51,1),(96,1),(106,1)}
        66:{1,3,5,6,7}:{(40,1),(41,1),(88,1),(98,1),(133,1)}
        67:{3,4,5,6}:{(95,1),(97,1),(99,1),(135,1)}
        68:{3,4,6,7}:{(41,1),(96,1),(98,1),(99,1)}
        69:{2,3,5,6,7}:{(42,1),(90,1),(100,1),(106,1),(134,1)}
        70:{1,3,4,5,7}:{(43,1),(46,1),(92,1),(101,1),(103,1),(140,1)}
        71:{1,2,4,6,7}:{(42,1),(45,1),(100,1),(102,1),(139,1)}
        72:{1,3,4,6}:{(43,1),(44,1),(48,1),(103,1)}
        73:{1,3,5,7}:{(44,1),(45,1),(102,1),(103,1)}
        74:{1,2,4,6}:{(46,1),(47,1),(50,1),(101,1),(104,1)}
        75:{1,2,3,6,7}:{(47,1),(49,1),(51,1),(102,1),(105,1)}
        76:{1,2,4,7}:{(48,1),(49,1),(52,1),(103,1)}
        77:{2,3,5,6}:{(50,1),(95,1),(104,1),(106,1),(135,1)}
        78:{2,3,4,6,7}:{(50,1),(51,1),(52,1),(96,1),(105,1),(106,1),(136,1)}
        79:{1,3,4,6,7}:{(54,1),(107,1),(109,1),(146,1)}
        80:{2,3,4,5}:{(56,1),(110,1)}
        81:{2,3,5,6}:{(53,1),(110,1),(111,1)}
        82:{1,2,4,5,7}:{(53,1),(54,1),(109,1),(111,1),(114,1),(144,1),(153,1)}
        83:{1,2,4,5,7}:{(55,1),(56,1),(58,1),(108,1),(112,1),(114,1),(144,1)}
        84:{1,2,3,6}:{(55,1),(112,1)}
        85:{1,2,4,6}:{(56,1),(57,1),(60,1),(110,1),(114,1)}
        86:{1,2,3,5,7}:{(57,1),(61,1),(111,1),(113,1),(114,1),(144,1)}
        87:{1,3,4,6}:{(58,1),(112,1),(115,1),(118,1)}
        88:{1,3,6,7}:{(59,1),(61,1)}
        89:{1,3,4,7}:{(60,1),(61,1),(114,1)}
        90:{2,4,5,6,7}:{(62,1),(69,1),(121,1)}
        91:{1,4,5,6,7}:{(62,1),(107,1),(122,1)}
        92:{3,4,5,7}:{(63,1),(118,1),(147,1)}
        93:{1,2,4,6}:{(63,1),(64,1),(118,1)}
        94:{1,2,3,5,6,7}:{(64,1),(65,1),(66,1),(75,1),(113,1),(120,1),(123,1),(126,1),(141,1),(144,1),(147,1)}
        95:{2,4,5,6}:{(67,1),(77,1),(121,1)}
        96:{2,4,6,7}:{(65,1),(68,1),(121,1)}
        97:{1,4,5,6}:{(67,1),(115,1),(122,1)}
        98:{1,4,6,7}:{(66,1),(68,1),(122,1)}
        99:{3,4,5,7}:{(67,1),(68,1),(121,1),(122,1),(147,1)}
       100:{1,2,5,6,7}:{(69,1),(71,1),(123,1),(126,1)}
       101:{1,3,4,6}:{(70,1),(74,1),(118,1),(124,1)}
       102:{1,3,6,7}:{(71,1),(73,1)}
       103:{1,3,4,7}:{(72,1),(73,1),(76,1)}
       104:{1,2,5,6}:{(74,1),(77,1),(124,1),(126,1)}
       105:{1,2,4,6,7}:{(74,1),(75,1),(76,1),(78,1),(125,1),(126,1)}
       106:{2,3,5,7}:{(77,1),(78,1),(121,1),(126,1),(147,1)}
       107:{1,3,5,6,7}:{(79,1),(91,1),(127,1),(133,1),(134,1)}
       108:{2,3,4,5,7}:{(80,1),(83,1),(92,1),(128,1),(130,1),(151,1)}
       109:{1,2,4,6,7}:{(79,1),(82,1),(127,1),(129,1),(150,1)}
       110:{2,3,4,6}:{(80,1),(81,1),(85,1),(130,1)}
       111:{2,3,5,7}:{(81,1),(82,1),(129,1),(130,1)}
       112:{1,2,4,6}:{(83,1),(84,1),(87,1),(128,1),(131,1)}
       113:{1,2,3,6,7}:{(84,1),(86,1),(88,1),(129,1),(132,1)}
       114:{1,2,4,7}:{(85,1),(86,1),(89,1),(130,1)}
       115:{1,3,5,6}:{(87,1),(97,1),(131,1),(133,1),(135,1)}
       116:{1,3,4,6,7}:{(87,1),(88,1),(89,1),(98,1),(132,1),(133,1),(136,1)}
       117:{1,2,4,5,6,7}:{(90,1),(91,1),(100,1),(127,1),(134,1),(137,1),(139,1),(150,1)}
       118:{3,4,6}:{(92,1),(93,1),(135,1)}
       119:{1,2,4,5,6}:{(93,1),(95,1),(97,1),(104,1),(131,1),(135,1),(137,1),(138,1),(149,1)}
       120:{1,2,4,6,7}:{(93,1),(94,1),(96,1),(98,1),(136,1),(137,1),(139,1),(150,1)}
       121:{2,4,5,7}:{(95,1),(96,1),(99,1),(106,1)}
       122:{1,4,5,7}:{(97,1),(98,1),(99,1),(133,1)}
       123:{1,3,5,6,7}:{(100,1),(102,1),(134,1),(139,1),(140,1)}
       124:{1,3,5,6}:{(101,1),(104,1),(135,1),(138,1),(140,1)}
       125:{1,3,4,6,7}:{(101,1),(102,1),(103,1),(105,1),(136,1),(139,1),(140,1)}
       126:{1,2,5,7}:{(104,1),(105,1),(106,1),(140,1)}
       127:{1,2,5,6,7}:{(107,1),(109,1),(141,1),(144,1)}
       128:{2,3,4,6}:{(108,1),(112,1),(118,1),(142,1)}
       129:{2,3,6,7}:{(109,1),(111,1)}
       130:{2,3,4,7}:{(110,1),(111,1),(114,1)}
       131:{1,2,5,6}:{(112,1),(115,1),(142,1),(144,1)}
       132:{1,2,4,6,7}:{(112,1),(113,1),(114,1),(116,1),(143,1),(144,1)}
       133:{1,3,5,7}:{(115,1),(116,1),(122,1),(144,1),(147,1)}
       134:{3,5,6,7}:{(117,1),(146,1),(147,1)}
       135:{3,5,6}:{(118,1),(119,1),(147,1)}
       136:{3,4,6,7}:{(118,1),(120,1),(147,1)}
       137:{1,2,4,5,7}:{(119,1),(120,1),(121,1),(122,1),(126,1),(144,1),(147,1),(148,1),(153,1)}
       138:{1,4,5,6}:{(124,1),(145,1),(148,1)}
       139:{1,4,6,7}:{(123,1),(146,1),(148,1)}
       140:{1,3,5,7}:{(124,1),(125,1),(126,1),(147,1),(148,1)}
       141:{2,3,5,6,7}:{(127,1),(129,1),(134,1),(150,1),(151,1)}
       142:{2,3,5,6}:{(128,1),(131,1),(135,1),(149,1),(151,1)}
       143:{2,3,4,6,7}:{(128,1),(129,1),(130,1),(132,1),(136,1),(150,1),(151,1)}
       144:{1,2,5,7}:{(131,1),(132,1),(133,1),(151,1)}
       145:{3,4,5,6}:{(135,1),(138,1),(149,1),(152,1)}
       146:{3,4,6,7}:{(134,1),(139,1),(150,1),(152,1)}
       147:{3,5,7}:{(135,1),(136,1),(137,1)}
       148:{1,4,5,7}:{(138,1),(139,1),(140,1),(152,1)}
       149:{2,4,5,6}:{(142,1),(145,1),(153,1)}
       150:{2,4,6,7}:{(141,1),(146,1),(153,1)}
       151:{2,3,5,7}:{(142,1),(143,1),(144,1),(147,1),(153,1)}
       152:{3,4,5,7}:{(145,1),(146,1),(147,1),(148,1),(153,1)}
       153:{2,4,5,7}:{(149,1),(150,1),(151,1),(152,1)}

2350 :  0:{2,3,4,5,6,7}:{(1,1),(7,1),(25,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(5,1),(28,1)}
        2:{1,3,5,6,7}:{(1,1),(4,1),(31,1)}
        3:{1,2,3,5,6,7}:{(2,1),(5,1),(11,1),(19,1)}
        4:{1,3,4,6,7}:{(2,1),(5,1),(6,1),(27,1)}
        5:{1,2,4,6,7}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
        6:{1,3,4,5,7}:{(4,1),(8,1),(9,1)}
        7:{2,3,4,6,7}:{(5,1),(11,1),(20,1)}
        8:{1,2,4,5,7}:{(5,1),(6,1),(11,1),(12,1)}
        9:{1,3,4,5,6}:{(6,1),(12,1),(27,1)}
       10:{1,2,3,4,6,7}:{(7,1),(14,1),(23,1),(32,1)}
       11:{2,3,5,7}:{(7,1),(8,1),(16,1)}
       12:{1,2,4,5,6}:{(8,1),(9,1),(16,1),(23,1)}
       13:{1,3,4,5,6,7}:{(9,1),(17,1),(32,1)}
       14:{1,2,3,5,7}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
       15:{2,3,4,5,7}:{(11,1),(18,1),(20,1)}
       16:{2,3,5,6}:{(11,1),(12,1),(20,1)}
       17:{1,2,4,5,6,7}:{(12,1),(13,1),(21,1),(29,1)}
       18:{1,2,4,5,7}:{(14,1),(15,1),(22,1),(23,1)}
       19:{1,2,3,5,6}:{(14,1),(16,1),(23,1),(31,1)}
       20:{2,3,4,6}:{(15,1),(16,1),(23,1)}
       21:{2,3,5,6,7}:{(16,1),(17,1),(26,1)}
       22:{1,3,4,5,7}:{(18,1),(27,1),(34,1)}
       23:{1,2,4,6}:{(18,1),(19,1),(20,1),(27,1)}
       24:{1,2,3,5,6,7}:{(19,1),(21,1),(29,1),(34,1)}
       25:{2,3,4,5,6}:{(20,1),(28,1),(30,1)}
       26:{2,3,4,6,7}:{(20,1),(21,1),(29,1),(30,1)}
       27:{1,3,4,6}:{(22,1),(23,1),(31,1)}
       28:{1,2,4,5,6}:{(23,1),(25,1),(31,1),(33,1)}
       29:{1,2,4,6,7}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
       30:{2,3,4,5,7}:{(25,1),(26,1),(33,1)}
       31:{1,3,5,6}:{(27,1),(28,1),(34,1)}
       32:{1,3,4,6,7}:{(27,1),(29,1),(34,1)}
       33:{1,2,4,5,7}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,3,5,7}:{(31,1),(32,1),(33,1)}

2351 :  0:{1,2,3,4,5}:{(2,1)}
        1:{1,2,3,4,5,7}:{(0,1),(3,1),(5,1),(15,1),(26,1),(43,1)}
        2:{1,2,3,4,6}:{(0,1),(4,1),(5,1)}
        3:{1,2,3,4,6}:{(1,1),(8,1)}
        4:{1,2,3,5,6}:{(2,1),(7,1),(10,1)}
        5:{1,2,3,4,7}:{(2,1),(10,1)}
        6:{1,3,4,5,6}:{(7,1),(11,1),(20,1)}
        7:{1,2,4,5,6}:{(4,1),(6,1),(12,1),(13,1)}
        8:{1,2,3,5,6}:{(3,1),(14,1),(15,1)}
        9:{1,2,3,4,6,7}:{(3,1),(5,1),(15,1),(16,1),(30,1),(43,1),(55,1)}
       10:{1,2,3,5,7}:{(4,1),(5,1),(13,1),(16,1)}
       11:{1,3,4,5,7}:{(6,1),(13,1),(17,1),(29,1)}
       12:{2,3,4,5,6}:{(7,1),(18,1),(20,1)}
       13:{1,2,4,5,7}:{(7,1),(10,1),(11,1),(18,1),(19,1)}
       14:{1,2,4,5,6}:{(8,1),(20,1),(21,1)}
       15:{1,2,3,5,7}:{(8,1),(9,1),(21,1)}
       16:{1,2,3,6,7}:{(10,1),(19,1)}
       17:{1,3,4,6,7}:{(11,1),(19,1),(23,1),(38,1)}
       18:{2,3,4,5,7}:{(12,1),(13,1),(24,1),(29,1)}
       19:{1,2,4,6,7}:{(13,1),(16,1),(17,1),(24,1),(25,1)}
       20:{3,4,5,6}:{(14,1),(29,1)}
       21:{1,2,4,5,7}:{(14,1),(15,1),(29,1),(30,1)}
       22:{1,2,3,5,6,7}:{(15,1),(16,1),(25,1),(30,1),(41,1),(54,1),(55,1)}
       23:{1,3,5,6,7}:{(17,1),(25,1),(31,1),(41,1)}
       24:{2,3,4,6,7}:{(18,1),(19,1),(32,1),(38,1)}
       25:{1,2,5,6,7}:{(19,1),(23,1),(32,1)}
       26:{1,2,3,4,5}:{(34,1)}
       27:{1,3,4,5,6}:{(20,1),(35,1),(36,1)}
       28:{2,3,4,5,6}:{(20,1),(35,1),(37,1)}
       29:{3,4,5,7}:{(20,1),(21,1),(38,1)}
       30:{1,2,4,6,7}:{(21,1),(22,1),(38,1)}
       31:{1,4,5,6,7}:{(23,1),(39,1)}
       32:{2,3,5,6,7}:{(24,1),(25,1),(40,1),(41,1)}
       33:{1,2,4,5,6,7}:{(25,1),(30,1),(31,1),(40,1),(41,1),(47,1),(53,1),(54,1)}
       34:{1,2,3,4,6}:{(26,1),(42,1),(43,1)}
       35:{1,2,4,5,6}:{(27,1),(28,1),(42,1),(44,1)}
       36:{1,3,4,5,7}:{(27,1),(29,1),(44,1),(45,1)}
       37:{2,3,4,5,7}:{(28,1),(29,1),(44,1),(46,1)}
       38:{3,4,6,7}:{(29,1),(30,1),(41,1)}
       39:{3,4,5,6,7}:{(31,1),(41,1),(47,1)}
       40:{2,4,5,6,7}:{(32,1),(48,1)}
       41:{3,5,6,7}:{(33,1),(38,1)}
       42:{1,2,3,5,6}:{(34,1),(35,1),(51,1)}
       43:{1,2,3,4,7}:{(34,1),(51,1)}
       44:{1,2,4,5,7}:{(35,1),(36,1),(37,1),(51,1),(52,1)}
       45:{1,3,4,6,7}:{(36,1),(38,1),(49,1),(52,1)}
       46:{2,3,4,6,7}:{(37,1),(38,1),(50,1),(52,1)}
       47:{2,4,5,6,7}:{(39,1),(50,1)}
       48:{3,4,5,6,7}:{(40,1),(41,1),(53,1)}
       49:{1,3,5,6,7}:{(41,1),(45,1),(53,1),(54,1)}
       50:{2,3,5,6,7}:{(41,1),(46,1),(47,1),(54,1)}
       51:{1,2,3,5,7}:{(42,1),(43,1),(44,1),(55,1)}
       52:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(54,1),(55,1)}
       53:{1,4,5,6,7}:{(48,1),(49,1)}
       54:{1,2,5,6,7}:{(49,1),(50,1),(52,1)}
       55:{1,2,3,6,7}:{(51,1),(52,1)}

2352 :   0:{2,3,4,5,6}:{(3,1),(4,1),(67,1),(72,1),(124,1)}
         1:{3,4,5,6,7}:{(6,1),(7,1),(41,1),(152,1)}
         2:{1,2,3,4,6}:{(9,1),(10,1),(47,1),(48,1)}
         3:{1,2,4,5,6}:{(0,1),(13,1),(14,1),(48,1),(97,1),(104,1)}
         4:{2,3,4,5,7}:{(0,1),(11,1),(14,1),(99,1),(103,1),(140,1)}
         5:{1,3,4,5,6}:{(16,1),(17,1),(67,1),(110,1),(142,1)}
         6:{2,4,5,6,7}:{(1,1),(20,1),(148,1)}
         7:{1,4,5,6,7}:{(1,1),(19,1),(153,1)}
         8:{1,3,4,5,6}:{(22,1),(23,1),(29,1),(77,1),(145,1)}
         9:{1,2,3,4,7}:{(2,1),(24,1),(76,1)}
        10:{1,2,3,5}:{(2,1),(25,1)}
        11:{2,3,4,6,7}:{(4,1),(20,1),(28,1),(68,1)}
        12:{1,3,4,5}:{(25,1),(29,1)}
        13:{1,3,5,6}:{(3,1),(29,1),(30,1)}
        14:{1,2,4,5,7}:{(3,1),(4,1),(28,1),(30,1),(76,1),(122,1),(126,1)}
        15:{1,2,3,4,6}:{(32,1),(33,1),(84,1),(85,1)}
        16:{1,2,4,5,6}:{(5,1),(36,1),(37,1),(85,1),(95,1),(131,1)}
        17:{1,3,4,5,7}:{(5,1),(34,1),(37,1),(99,1),(130,1),(151,1)}
        18:{1,2,3,4,6,7}:{(9,1),(32,1),(38,1),(47,1),(84,1),(93,1),(105,1),(132,1),(136,1)}
        19:{1,3,5,6,7}:{(7,1),(34,1),(39,1),(41,1),(151,1)}
        20:{2,3,5,6,7}:{(6,1),(11,1),(40,1),(41,1),(140,1)}
        21:{1,2,4,5,6,7}:{(6,1),(7,1),(39,1),(40,1),(41,1),(96,1),(98,1),(137,1)}
        22:{1,2,4,5,6}:{(8,1),(44,1),(45,1),(48,1),(104,1),(138,1)}
        23:{1,3,4,5,7}:{(8,1),(42,1),(45,1),(52,1),(106,1),(152,1)}
        24:{1,2,3,5,7}:{(9,1),(10,1),(46,1),(47,1)}
        25:{1,2,4,5}:{(10,1),(12,1),(43,1),(48,1)}
        26:{1,2,3,5,6}:{(10,1),(13,1),(44,1),(47,1),(48,1),(49,1),(104,1)}
        27:{1,3,4,5,7}:{(12,1),(46,1),(50,1),(52,1),(92,1),(106,1)}
        28:{1,2,4,6,7}:{(11,1),(14,1),(40,1),(51,1),(98,1)}
        29:{1,3,4,6}:{(12,1),(13,1),(48,1),(52,1)}
        30:{1,3,5,7}:{(13,1),(14,1),(51,1),(52,1)}
        31:{2,3,4,5,6}:{(53,1),(54,1),(60,1),(115,1),(145,1)}
        32:{1,2,3,4,7}:{(15,1),(55,1),(114,1)}
        33:{1,2,3,5}:{(15,1),(56,1)}
        34:{1,3,4,6,7}:{(17,1),(19,1),(59,1),(68,1)}
        35:{2,3,4,5}:{(56,1),(60,1)}
        36:{2,3,5,6}:{(16,1),(60,1),(61,1)}
        37:{1,2,4,5,7}:{(16,1),(17,1),(59,1),(61,1),(114,1),(121,1),(144,1)}
        38:{1,2,3,5,7}:{(18,1),(63,1),(64,1),(126,1),(144,1),(147,1)}
        39:{1,2,5,6,7}:{(19,1),(59,1),(65,1),(144,1)}
        40:{1,2,5,6,7}:{(20,1),(28,1),(66,1),(126,1)}
        41:{3,5,6,7}:{(21,1),(68,1),(147,1)}
        42:{1,3,4,6,7}:{(23,1),(69,1),(71,1),(146,1)}
        43:{2,3,4,5}:{(25,1),(72,1)}
        44:{2,3,5,6}:{(22,1),(72,1),(73,1)}
        45:{1,2,4,5,7}:{(22,1),(23,1),(71,1),(73,1),(76,1),(126,1),(148,1)}
        46:{1,2,4,5,7}:{(24,1),(25,1),(27,1),(70,1),(74,1),(76,1),(126,1)}
        47:{1,2,3,6}:{(24,1),(74,1)}
        48:{1,2,4,6}:{(25,1),(26,1),(29,1),(72,1),(76,1)}
        49:{1,2,3,5,7}:{(26,1),(30,1),(73,1),(75,1),(76,1),(126,1)}
        50:{1,3,4,6}:{(27,1),(74,1),(77,1),(118,1)}
        51:{1,3,6,7}:{(28,1),(30,1)}
        52:{1,3,4,7}:{(29,1),(30,1),(76,1)}
        53:{1,2,4,5,6}:{(31,1),(81,1),(82,1),(85,1),(131,1),(149,1)}
        54:{2,3,4,5,7}:{(31,1),(79,1),(82,1),(89,1),(133,1),(152,1)}
        55:{1,2,3,5,7}:{(32,1),(33,1),(83,1),(84,1)}
        56:{1,2,4,5}:{(33,1),(35,1),(80,1),(85,1)}
        57:{1,2,3,5,6}:{(33,1),(36,1),(81,1),(84,1),(85,1),(86,1),(131,1)}
        58:{2,3,4,5,7}:{(35,1),(83,1),(87,1),(89,1),(92,1),(133,1)}
        59:{1,2,4,6,7}:{(34,1),(37,1),(39,1),(88,1),(96,1)}
        60:{2,3,4,6}:{(35,1),(36,1),(85,1),(89,1)}
        61:{2,3,5,7}:{(36,1),(37,1),(88,1),(89,1)}
        62:{3,4,5,6,7}:{(90,1),(91,1),(99,1),(134,1)}
        63:{1,2,4,5,7}:{(38,1),(92,1),(93,1)}
        64:{1,2,3,5,6}:{(38,1),(47,1),(84,1),(93,1),(104,1),(131,1),(135,1)}
        65:{2,3,5,6,7}:{(39,1),(41,1),(88,1),(96,1),(133,1)}
        66:{1,3,5,6,7}:{(40,1),(41,1),(51,1),(98,1),(106,1)}
        67:{3,4,5,6}:{(95,1),(97,1),(99,1),(135,1)}
        68:{3,4,6,7}:{(41,1),(96,1),(98,1),(99,1)}
        69:{1,3,5,6,7}:{(42,1),(91,1),(100,1),(106,1),(134,1)}
        70:{2,3,4,5,7}:{(43,1),(46,1),(92,1),(101,1),(103,1),(140,1)}
        71:{1,2,4,6,7}:{(42,1),(45,1),(100,1),(102,1),(139,1)}
        72:{2,3,4,6}:{(43,1),(44,1),(48,1),(103,1)}
        73:{2,3,5,7}:{(44,1),(45,1),(102,1),(103,1)}
        74:{1,2,4,6}:{(46,1),(47,1),(50,1),(101,1),(104,1)}
        75:{1,2,3,6,7}:{(47,1),(49,1),(51,1),(102,1),(105,1)}
        76:{1,2,4,7}:{(48,1),(49,1),(52,1),(103,1)}
        77:{1,3,5,6}:{(50,1),(97,1),(104,1),(106,1),(135,1)}
        78:{1,3,4,6,7}:{(50,1),(51,1),(52,1),(98,1),(105,1),(106,1),(136,1)}
        79:{2,3,4,6,7}:{(54,1),(107,1),(109,1),(146,1)}
        80:{1,3,4,5}:{(56,1),(110,1)}
        81:{1,3,5,6}:{(53,1),(110,1),(111,1)}
        82:{1,2,4,5,7}:{(53,1),(54,1),(109,1),(111,1),(114,1),(144,1),(153,1)}
        83:{1,2,4,5,7}:{(55,1),(56,1),(58,1),(108,1),(112,1),(114,1),(144,1)}
        84:{1,2,3,6}:{(55,1),(112,1)}
        85:{1,2,4,6}:{(56,1),(57,1),(60,1),(110,1),(114,1)}
        86:{1,2,3,5,7}:{(57,1),(61,1),(111,1),(113,1),(114,1),(144,1)}
        87:{2,3,4,6}:{(58,1),(112,1),(115,1),(118,1)}
        88:{2,3,6,7}:{(59,1),(61,1)}
        89:{2,3,4,7}:{(60,1),(61,1),(114,1)}
        90:{2,4,5,6,7}:{(62,1),(107,1),(121,1)}
        91:{1,4,5,6,7}:{(62,1),(69,1),(122,1)}
        92:{3,4,5,7}:{(63,1),(118,1),(147,1)}
        93:{1,2,4,6}:{(63,1),(64,1),(118,1)}
        94:{1,2,3,5,6,7}:{(64,1),(65,1),(66,1),(75,1),(113,1),(120,1),(123,1),(126,1),(141,1),(144,1),(147,1)}
        95:{2,4,5,6}:{(67,1),(115,1),(121,1)}
        96:{2,4,6,7}:{(65,1),(68,1),(121,1)}
        97:{1,4,5,6}:{(67,1),(77,1),(122,1)}
        98:{1,4,6,7}:{(66,1),(68,1),(122,1)}
        99:{3,4,5,7}:{(67,1),(68,1),(121,1),(122,1),(147,1)}
       100:{1,2,5,6,7}:{(69,1),(71,1),(123,1),(126,1)}
       101:{2,3,4,6}:{(70,1),(74,1),(118,1),(124,1)}
       102:{2,3,6,7}:{(71,1),(73,1)}
       103:{2,3,4,7}:{(72,1),(73,1),(76,1)}
       104:{1,2,5,6}:{(74,1),(77,1),(124,1),(126,1)}
       105:{1,2,4,6,7}:{(74,1),(75,1),(76,1),(78,1),(125,1),(126,1)}
       106:{1,3,5,7}:{(77,1),(78,1),(122,1),(126,1),(147,1)}
       107:{2,3,5,6,7}:{(79,1),(90,1),(127,1),(133,1),(134,1)}
       108:{1,3,4,5,7}:{(80,1),(83,1),(92,1),(128,1),(130,1),(151,1)}
       109:{1,2,4,6,7}:{(79,1),(82,1),(127,1),(129,1),(150,1)}
       110:{1,3,4,6}:{(80,1),(81,1),(85,1),(130,1)}
       111:{1,3,5,7}:{(81,1),(82,1),(129,1),(130,1)}
       112:{1,2,4,6}:{(83,1),(84,1),(87,1),(128,1),(131,1)}
       113:{1,2,3,6,7}:{(84,1),(86,1),(88,1),(129,1),(132,1)}
       114:{1,2,4,7}:{(85,1),(86,1),(89,1),(130,1)}
       115:{2,3,5,6}:{(87,1),(95,1),(131,1),(133,1),(135,1)}
       116:{2,3,4,6,7}:{(87,1),(88,1),(89,1),(96,1),(132,1),(133,1),(136,1)}
       117:{1,2,4,5,6,7}:{(90,1),(91,1),(100,1),(127,1),(134,1),(137,1),(139,1),(150,1)}
       118:{3,4,6}:{(92,1),(93,1),(135,1)}
       119:{1,2,4,5,6}:{(93,1),(95,1),(97,1),(104,1),(131,1),(135,1),(137,1),(138,1),(149,1)}
       120:{1,2,4,6,7}:{(93,1),(94,1),(96,1),(98,1),(136,1),(137,1),(139,1),(150,1)}
       121:{2,4,5,7}:{(95,1),(96,1),(99,1),(133,1)}
       122:{1,4,5,7}:{(97,1),(98,1),(99,1),(106,1)}
       123:{2,3,5,6,7}:{(100,1),(102,1),(134,1),(139,1),(140,1)}
       124:{2,3,5,6}:{(101,1),(104,1),(135,1),(138,1),(140,1)}
       125:{2,3,4,6,7}:{(101,1),(102,1),(103,1),(105,1),(136,1),(139,1),(140,1)}
       126:{1,2,5,7}:{(104,1),(105,1),(106,1),(140,1)}
       127:{1,2,5,6,7}:{(107,1),(109,1),(141,1),(144,1)}
       128:{1,3,4,6}:{(108,1),(112,1),(118,1),(142,1)}
       129:{1,3,6,7}:{(109,1),(111,1)}
       130:{1,3,4,7}:{(110,1),(111,1),(114,1)}
       131:{1,2,5,6}:{(112,1),(115,1),(142,1),(144,1)}
       132:{1,2,4,6,7}:{(112,1),(113,1),(114,1),(116,1),(143,1),(144,1)}
       133:{2,3,5,7}:{(115,1),(116,1),(121,1),(144,1),(147,1)}
       134:{3,5,6,7}:{(117,1),(146,1),(147,1)}
       135:{3,5,6}:{(118,1),(119,1),(147,1)}
       136:{3,4,6,7}:{(118,1),(120,1),(147,1)}
       137:{1,2,4,5,7}:{(119,1),(120,1),(121,1),(122,1),(126,1),(144,1),(147,1),(148,1),(153,1)}
       138:{2,4,5,6}:{(124,1),(145,1),(148,1)}
       139:{2,4,6,7}:{(123,1),(146,1),(148,1)}
       140:{2,3,5,7}:{(124,1),(125,1),(126,1),(147,1),(148,1)}
       141:{1,3,5,6,7}:{(127,1),(129,1),(134,1),(150,1),(151,1)}
       142:{1,3,5,6}:{(128,1),(131,1),(135,1),(149,1),(151,1)}
       143:{1,3,4,6,7}:{(128,1),(129,1),(130,1),(132,1),(136,1),(150,1),(151,1)}
       144:{1,2,5,7}:{(131,1),(132,1),(133,1),(151,1)}
       145:{3,4,5,6}:{(135,1),(138,1),(149,1),(152,1)}
       146:{3,4,6,7}:{(134,1),(139,1),(150,1),(152,1)}
       147:{3,5,7}:{(135,1),(136,1),(137,1)}
       148:{2,4,5,7}:{(138,1),(139,1),(140,1),(152,1)}
       149:{1,4,5,6}:{(142,1),(145,1),(153,1)}
       150:{1,4,6,7}:{(141,1),(146,1),(153,1)}
       151:{1,3,5,7}:{(142,1),(143,1),(144,1),(147,1),(153,1)}
       152:{3,4,5,7}:{(145,1),(146,1),(147,1),(148,1),(153,1)}
       153:{1,4,5,7}:{(149,1),(150,1),(151,1),(152,1)}

2353 :  0:{1,2,3,4,6,7}:{(1,1),(14,1),(18,1),(50,1),(56,1),(85,1)}
        1:{1,2,3,5,7}:{(0,1),(5,1),(6,1),(74,1),(93,1)}
        2:{2,3,4,5,6}:{(8,1),(9,1),(43,1),(66,1),(72,1)}
        3:{1,3,4,5,6}:{(10,1),(11,1),(41,1),(66,1),(70,1)}
        4:{3,4,5,6,7}:{(12,1),(13,1),(48,1),(83,1)}
        5:{1,2,4,5,7}:{(1,1),(17,1),(18,1)}
        6:{1,2,3,5,6}:{(1,1),(18,1),(50,1),(55,1),(84,1)}
        7:{1,2,3,4,6}:{(14,1),(20,1),(50,1),(58,1)}
        8:{1,2,4,5,6}:{(2,1),(22,1),(23,1),(58,1),(79,1),(84,1)}
        9:{2,3,4,5,7}:{(2,1),(15,1),(23,1),(61,1),(83,1),(87,1)}
       10:{1,2,4,5,6}:{(3,1),(25,1),(26,1),(58,1),(81,1),(84,1)}
       11:{1,3,4,5,7}:{(3,1),(16,1),(26,1),(60,1),(83,1),(86,1)}
       12:{2,4,5,6,7}:{(4,1),(28,1),(92,1)}
       13:{1,4,5,6,7}:{(4,1),(29,1),(91,1)}
       14:{1,2,3,4,7}:{(7,1),(31,1),(75,1)}
       15:{2,3,4,6,7}:{(9,1),(28,1),(33,1),(67,1)}
       16:{1,3,4,6,7}:{(11,1),(29,1),(35,1),(67,1)}
       17:{3,4,5,7}:{(5,1),(36,1),(74,1)}
       18:{1,2,4,6}:{(5,1),(6,1),(36,1)}
       19:{1,2,3,5,6,7}:{(6,1),(38,1),(64,1),(65,1),(69,1),(74,1),(93,1)}
       20:{1,2,3,5}:{(7,1),(39,1)}
       21:{1,3,4,5}:{(39,1),(41,1)}
       22:{1,3,5,6}:{(8,1),(41,1),(42,1)}
       23:{1,2,4,5,7}:{(8,1),(9,1),(33,1),(42,1),(75,1),(91,1),(93,1)}
       24:{2,3,4,5}:{(39,1),(43,1)}
       25:{2,3,5,6}:{(10,1),(43,1),(44,1)}
       26:{1,2,4,5,7}:{(10,1),(11,1),(35,1),(44,1),(75,1),(92,1),(93,1)}
       27:{1,2,3,4,6,7}:{(14,1),(45,1),(50,1),(77,1),(85,1),(95,1)}
       28:{2,3,5,6,7}:{(12,1),(15,1),(46,1),(48,1),(87,1)}
       29:{1,3,5,6,7}:{(13,1),(16,1),(47,1),(48,1),(86,1)}
       30:{1,2,4,5,6,7}:{(12,1),(13,1),(46,1),(47,1),(48,1),(57,1),(80,1),(82,1),(96,1)}
       31:{1,2,3,5,7}:{(14,1),(20,1),(49,1),(50,1)}
       32:{1,3,4,5,7}:{(17,1),(21,1),(49,1),(51,1),(60,1),(76,1),(86,1)}
       33:{1,2,4,6,7}:{(15,1),(23,1),(46,1),(52,1),(80,1)}
       34:{2,3,4,5,7}:{(17,1),(24,1),(49,1),(53,1),(61,1),(76,1),(87,1)}
       35:{1,2,4,6,7}:{(16,1),(26,1),(47,1),(54,1),(82,1)}
       36:{3,4,6}:{(17,1),(18,1),(55,1)}
       37:{1,2,4,5,6}:{(18,1),(55,1),(57,1),(79,1),(81,1),(84,1)}
       38:{1,2,4,6,7}:{(18,1),(19,1),(56,1),(57,1),(80,1),(82,1)}
       39:{1,2,4,5}:{(20,1),(21,1),(24,1),(58,1)}
       40:{1,2,3,5,6}:{(20,1),(22,1),(25,1),(50,1),(58,1),(59,1),(84,1)}
       41:{1,3,4,6}:{(21,1),(22,1),(58,1),(60,1)}
       42:{1,3,5,7}:{(22,1),(23,1),(52,1),(60,1)}
       43:{2,3,4,6}:{(24,1),(25,1),(58,1),(61,1)}
       44:{2,3,5,7}:{(25,1),(26,1),(54,1),(61,1)}
       45:{1,2,3,5,7}:{(27,1),(62,1),(63,1),(93,1),(97,1)}
       46:{1,2,5,6,7}:{(28,1),(33,1),(64,1),(93,1)}
       47:{1,2,5,6,7}:{(29,1),(35,1),(65,1),(93,1)}
       48:{3,5,6,7}:{(30,1),(67,1),(74,1),(97,1)}
       49:{1,2,4,5,7}:{(31,1),(32,1),(34,1),(39,1),(68,1),(75,1),(93,1)}
       50:{1,2,3,6}:{(31,1),(68,1)}
       51:{1,3,4,6}:{(32,1),(36,1),(68,1),(70,1),(88,1)}
       52:{1,3,6,7}:{(33,1),(42,1)}
       53:{2,3,4,6}:{(34,1),(36,1),(68,1),(72,1),(88,1)}
       54:{2,3,6,7}:{(35,1),(44,1)}
       55:{3,5,6}:{(36,1),(37,1),(74,1)}
       56:{3,4,6,7}:{(36,1),(38,1),(74,1)}
       57:{1,2,4,5,7}:{(37,1),(38,1),(74,1),(91,1),(92,1),(93,1)}
       58:{1,2,4,6}:{(39,1),(40,1),(41,1),(43,1),(75,1)}
       59:{1,2,3,5,7}:{(40,1),(42,1),(44,1),(69,1),(75,1),(93,1)}
       60:{1,3,4,7}:{(41,1),(42,1),(75,1)}
       61:{2,3,4,7}:{(43,1),(44,1),(75,1)}
       62:{1,2,4,5,7}:{(45,1),(76,1),(77,1)}
       63:{1,2,3,5,6}:{(45,1),(50,1),(77,1),(84,1),(94,1)}
       64:{1,3,5,6,7}:{(46,1),(48,1),(52,1),(80,1),(86,1)}
       65:{2,3,5,6,7}:{(47,1),(48,1),(54,1),(82,1),(87,1)}
       66:{3,4,5,6}:{(55,1),(79,1),(81,1),(83,1),(94,1)}
       67:{3,4,6,7}:{(48,1),(80,1),(82,1),(83,1)}
       68:{1,2,4,6}:{(49,1),(50,1),(51,1),(53,1),(84,1)}
       69:{1,2,3,6,7}:{(50,1),(52,1),(54,1),(59,1),(85,1)}
       70:{1,3,5,6}:{(51,1),(55,1),(79,1),(84,1),(86,1),(94,1)}
       71:{1,3,4,6,7}:{(51,1),(52,1),(56,1),(60,1),(80,1),(85,1),(86,1),(95,1)}
       72:{2,3,5,6}:{(53,1),(55,1),(81,1),(84,1),(87,1),(94,1)}
       73:{2,3,4,6,7}:{(53,1),(54,1),(56,1),(61,1),(82,1),(85,1),(87,1),(95,1)}
       74:{3,5,7}:{(55,1),(56,1),(57,1)}
       75:{1,2,4,7}:{(58,1),(59,1),(60,1),(61,1)}
       76:{3,4,5,7}:{(62,1),(88,1),(97,1)}
       77:{1,2,4,6}:{(62,1),(63,1),(88,1)}
       78:{1,2,3,5,6,7}:{(63,1),(64,1),(65,1),(69,1),(90,1),(93,1),(97,1)}
       79:{1,4,5,6}:{(66,1),(70,1),(91,1)}
       80:{1,4,6,7}:{(64,1),(67,1),(91,1)}
       81:{2,4,5,6}:{(66,1),(72,1),(92,1)}
       82:{2,4,6,7}:{(65,1),(67,1),(92,1)}
       83:{3,4,5,7}:{(66,1),(67,1),(74,1),(91,1),(92,1),(97,1)}
       84:{1,2,5,6}:{(68,1),(70,1),(72,1),(93,1)}
       85:{1,2,4,6,7}:{(68,1),(69,1),(71,1),(73,1),(75,1),(93,1)}
       86:{1,3,5,7}:{(70,1),(71,1),(74,1),(91,1),(93,1),(97,1)}
       87:{2,3,5,7}:{(72,1),(73,1),(74,1),(92,1),(93,1),(97,1)}
       88:{3,4,6}:{(76,1),(77,1),(94,1)}
       89:{1,2,4,5,6}:{(77,1),(79,1),(81,1),(84,1),(94,1),(96,1)}
       90:{1,2,4,6,7}:{(77,1),(78,1),(80,1),(82,1),(95,1),(96,1)}
       91:{1,4,5,7}:{(79,1),(80,1),(83,1),(86,1)}
       92:{2,4,5,7}:{(81,1),(82,1),(83,1),(87,1)}
       93:{1,2,5,7}:{(84,1),(85,1),(86,1),(87,1)}
       94:{3,5,6}:{(88,1),(89,1),(97,1)}
       95:{3,4,6,7}:{(88,1),(90,1),(97,1)}
       96:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(92,1),(93,1),(97,1)}
       97:{3,5,7}:{(94,1),(95,1),(96,1)}

2354 :  0:{2,3,4,5,6}:{(3,1),(4,1),(28,1),(76,1),(80,1)}
        1:{1,3,4,5,6}:{(5,1),(6,1),(26,1),(76,1),(79,1)}
        2:{3,4,5,6,7}:{(8,1),(9,1),(33,1),(63,1)}
        3:{2,3,4,5,7}:{(0,1),(10,1),(13,1),(42,1),(63,1),(66,1)}
        4:{1,2,4,5,6}:{(0,1),(13,1),(14,1),(39,1),(85,1),(88,1)}
        5:{1,3,4,5,7}:{(1,1),(11,1),(15,1),(40,1),(63,1),(65,1)}
        6:{1,2,4,5,6}:{(1,1),(15,1),(16,1),(39,1),(86,1),(88,1)}
        7:{1,2,3,4,6,7}:{(17,1),(36,1),(45,1),(64,1),(68,1),(89,1)}
        8:{1,4,5,6,7}:{(2,1),(19,1),(74,1)}
        9:{2,4,5,6,7}:{(2,1),(18,1),(75,1)}
       10:{2,3,4,6,7}:{(3,1),(18,1),(21,1),(48,1)}
       11:{1,3,4,6,7}:{(5,1),(19,1),(22,1),(48,1)}
       12:{1,2,3,5,6,7}:{(23,1),(30,1),(46,1),(47,1),(49,1),(52,1),(78,1)}
       13:{1,2,4,5,7}:{(3,1),(4,1),(21,1),(25,1),(55,1),(74,1),(78,1)}
       14:{1,3,5,6}:{(4,1),(25,1),(26,1)}
       15:{1,2,4,5,7}:{(5,1),(6,1),(22,1),(27,1),(55,1),(75,1),(78,1)}
       16:{2,3,5,6}:{(6,1),(27,1),(28,1)}
       17:{1,2,3,5,7}:{(7,1),(29,1),(30,1),(52,1),(78,1)}
       18:{2,3,5,6,7}:{(9,1),(10,1),(31,1),(33,1),(66,1)}
       19:{1,3,5,6,7}:{(8,1),(11,1),(32,1),(33,1),(65,1)}
       20:{1,2,4,5,6,7}:{(8,1),(9,1),(31,1),(32,1),(33,1),(37,1),(61,1),(62,1),(84,1)}
       21:{1,2,4,6,7}:{(10,1),(13,1),(31,1),(34,1),(61,1)}
       22:{1,2,4,6,7}:{(11,1),(15,1),(32,1),(35,1),(62,1)}
       23:{1,2,4,6,7}:{(12,1),(36,1),(37,1),(45,1),(61,1),(62,1)}
       24:{1,2,3,5,6}:{(14,1),(16,1),(38,1),(39,1),(69,1),(88,1),(89,1)}
       25:{1,3,5,7}:{(13,1),(14,1),(34,1),(40,1)}
       26:{1,3,4,6}:{(14,1),(39,1),(40,1),(41,1)}
       27:{2,3,5,7}:{(15,1),(16,1),(35,1),(42,1)}
       28:{2,3,4,6}:{(16,1),(39,1),(42,1),(43,1)}
       29:{1,2,4,5,7}:{(17,1),(44,1),(45,1)}
       30:{1,2,3,5,6}:{(17,1),(45,1),(67,1),(88,1),(89,1)}
       31:{1,2,5,6,7}:{(18,1),(21,1),(46,1),(78,1)}
       32:{1,2,5,6,7}:{(19,1),(22,1),(47,1),(78,1)}
       33:{3,5,6,7}:{(20,1),(48,1),(52,1),(90,1)}
       34:{1,3,6,7}:{(21,1),(25,1)}
       35:{2,3,6,7}:{(22,1),(27,1)}
       36:{3,4,6,7}:{(23,1),(52,1),(59,1)}
       37:{1,2,4,5,7}:{(23,1),(52,1),(53,1),(74,1),(75,1),(78,1)}
       38:{1,2,3,5,7}:{(24,1),(25,1),(27,1),(49,1),(55,1),(78,1)}
       39:{1,2,4,6}:{(24,1),(26,1),(28,1),(55,1),(56,1)}
       40:{1,3,4,7}:{(25,1),(26,1),(55,1)}
       41:{1,3,4,5}:{(26,1),(56,1)}
       42:{2,3,4,7}:{(27,1),(28,1),(55,1)}
       43:{2,3,4,5}:{(28,1),(56,1)}
       44:{3,4,5,7}:{(29,1),(52,1),(59,1)}
       45:{1,2,4,6}:{(29,1),(30,1),(59,1)}
       46:{1,3,5,6,7}:{(31,1),(33,1),(34,1),(61,1),(65,1)}
       47:{2,3,5,6,7}:{(32,1),(33,1),(35,1),(62,1),(66,1)}
       48:{3,4,6,7}:{(33,1),(61,1),(62,1),(63,1)}
       49:{1,2,3,6,7}:{(34,1),(35,1),(38,1),(64,1),(89,1)}
       50:{1,3,4,6,7}:{(34,1),(36,1),(40,1),(61,1),(64,1),(65,1),(71,1),(83,1)}
       51:{2,3,4,6,7}:{(35,1),(36,1),(42,1),(62,1),(64,1),(66,1),(72,1),(83,1)}
       52:{3,5,7}:{(36,1),(37,1),(67,1)}
       53:{1,2,4,5,6}:{(37,1),(45,1),(67,1),(85,1),(86,1),(88,1)}
       54:{1,2,3,4,6}:{(39,1),(68,1),(69,1),(89,1)}
       55:{1,2,4,7}:{(38,1),(39,1),(40,1),(42,1)}
       56:{1,2,4,5}:{(39,1),(41,1),(43,1),(69,1)}
       57:{1,3,4,5,7}:{(40,1),(41,1),(44,1),(65,1),(70,1),(71,1),(94,1)}
       58:{2,3,4,5,7}:{(42,1),(43,1),(44,1),(66,1),(70,1),(72,1),(94,1)}
       59:{3,4,6}:{(44,1),(45,1),(67,1)}
       60:{1,2,3,5,6,7}:{(46,1),(47,1),(49,1),(73,1),(78,1),(90,1),(93,1)}
       61:{1,4,6,7}:{(46,1),(48,1),(74,1)}
       62:{2,4,6,7}:{(47,1),(48,1),(75,1)}
       63:{3,4,5,7}:{(48,1),(52,1),(74,1),(75,1),(76,1),(90,1)}
       64:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(55,1),(78,1),(82,1)}
       65:{1,3,5,7}:{(50,1),(52,1),(74,1),(78,1),(79,1),(90,1)}
       66:{2,3,5,7}:{(51,1),(52,1),(75,1),(78,1),(80,1),(90,1)}
       67:{3,5,6}:{(52,1),(53,1),(59,1)}
       68:{1,2,3,4,7}:{(54,1),(55,1),(81,1)}
       69:{1,2,3,5}:{(54,1),(56,1)}
       70:{1,2,4,5,7}:{(55,1),(56,1),(57,1),(58,1),(78,1),(81,1),(82,1)}
       71:{1,3,4,6}:{(57,1),(59,1),(79,1),(82,1),(97,1)}
       72:{2,3,4,6}:{(58,1),(59,1),(80,1),(82,1),(97,1)}
       73:{1,2,4,6,7}:{(60,1),(61,1),(62,1),(83,1),(84,1),(96,1)}
       74:{1,4,5,7}:{(61,1),(63,1),(65,1),(85,1)}
       75:{2,4,5,7}:{(62,1),(63,1),(66,1),(86,1)}
       76:{3,4,5,6}:{(63,1),(67,1),(85,1),(86,1),(95,1)}
       77:{1,2,3,4,6,7}:{(64,1),(68,1),(83,1),(87,1),(89,1),(96,1)}
       78:{1,2,5,7}:{(64,1),(65,1),(66,1),(88,1)}
       79:{1,3,5,6}:{(65,1),(67,1),(71,1),(85,1),(88,1),(95,1)}
       80:{2,3,5,6}:{(66,1),(67,1),(72,1),(86,1),(88,1),(95,1)}
       81:{1,2,3,5,7}:{(68,1),(69,1),(70,1),(89,1)}
       82:{1,2,4,6}:{(70,1),(71,1),(72,1),(88,1),(89,1)}
       83:{3,4,6,7}:{(73,1),(90,1),(97,1)}
       84:{1,2,4,5,7}:{(73,1),(74,1),(75,1),(78,1),(90,1),(91,1)}
       85:{1,4,5,6}:{(74,1),(76,1),(79,1)}
       86:{2,4,5,6}:{(75,1),(76,1),(80,1)}
       87:{1,2,3,5,7}:{(77,1),(78,1),(90,1),(92,1),(93,1)}
       88:{1,2,5,6}:{(78,1),(79,1),(80,1),(82,1)}
       89:{1,2,3,6}:{(81,1),(82,1)}
       90:{3,5,7}:{(83,1),(84,1),(95,1)}
       91:{1,2,4,5,6}:{(84,1),(85,1),(86,1),(88,1),(95,1),(96,1)}
       92:{1,2,4,5,7}:{(87,1),(94,1),(96,1)}
       93:{1,2,3,5,6}:{(87,1),(88,1),(89,1),(95,1),(96,1)}
       94:{3,4,5,7}:{(90,1),(92,1),(97,1)}
       95:{3,5,6}:{(90,1),(91,1),(97,1)}
       96:{1,2,4,6}:{(92,1),(93,1),(97,1)}
       97:{3,4,6}:{(94,1),(95,1),(96,1)}

2355 :  0:{1,2,3,4,5,7}:{(1,1),(5,1),(9,1),(24,1)}
        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),(24,1),(40,1)}
        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:{3,4,5,6}:{(4,1),(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),(22,1),(39,1),(40,1)}
        9:{1,2,3,4,5}:{(16,1)}
       10:{1,3,4,5,6}:{(6,1),(17,1),(18,1),(41,1)}
       11:{2,3,4,5,6}:{(6,1),(17,1),(19,1),(41,1)}
       12:{3,4,5,7}:{(6,1),(7,1),(20,1)}
       13:{1,2,4,6,7}:{(7,1),(8,1),(20,1)}
       14:{1,2,3,4,5,7}:{(9,1),(21,1),(24,1),(38,1)}
       15:{1,2,4,5,6,7}:{(13,1),(22,1),(35,1),(36,1),(39,1)}
       16:{1,2,3,4,6}:{(9,1),(23,1),(24,1)}
       17:{1,2,4,5,6}:{(10,1),(11,1),(23,1),(25,1)}
       18:{1,3,4,5,7}:{(10,1),(12,1),(25,1),(26,1),(45,1)}
       19:{2,3,4,5,7}:{(11,1),(12,1),(25,1),(27,1),(45,1)}
       20:{3,4,6,7}:{(12,1),(13,1),(22,1)}
       21:{1,2,3,4,6}:{(14,1),(29,1)}
       22:{3,5,6,7}:{(15,1),(20,1)}
       23:{1,2,3,5,6}:{(16,1),(17,1),(33,1)}
       24:{1,2,3,4,7}:{(16,1),(33,1)}
       25:{1,2,4,5,7}:{(17,1),(18,1),(19,1),(33,1),(34,1)}
       26:{1,3,4,6,7}:{(18,1),(20,1),(31,1),(34,1),(48,1)}
       27:{2,3,4,6,7}:{(19,1),(20,1),(32,1),(34,1),(48,1)}
       28:{3,4,5,6,7}:{(22,1),(35,1),(36,1),(46,1)}
       29:{1,2,3,5,6}:{(21,1),(37,1),(38,1)}
       30:{1,2,3,4,6,7}:{(21,1),(24,1),(38,1),(40,1),(47,1)}
       31:{1,3,5,6,7}:{(22,1),(26,1),(35,1),(39,1),(46,1)}
       32:{2,3,5,6,7}:{(22,1),(27,1),(36,1),(39,1),(46,1)}
       33:{1,2,3,5,7}:{(23,1),(24,1),(25,1),(40,1)}
       34:{1,2,4,6,7}:{(25,1),(26,1),(27,1),(39,1),(40,1)}
       35:{1,4,5,6,7}:{(28,1),(31,1)}
       36:{2,4,5,6,7}:{(28,1),(32,1)}
       37:{1,2,4,5,6}:{(29,1),(41,1),(43,1)}
       38:{1,2,3,5,7}:{(29,1),(30,1),(43,1)}
       39:{1,2,5,6,7}:{(31,1),(32,1),(34,1)}
       40:{1,2,3,6,7}:{(33,1),(34,1)}
       41:{3,4,5,6}:{(37,1),(45,1)}
       42:{1,2,4,5,6,7}:{(35,1),(36,1),(39,1),(46,1),(47,1)}
       43:{1,2,4,5,7}:{(37,1),(38,1),(45,1),(47,1)}
       44:{1,2,3,5,6,7}:{(38,1),(39,1),(40,1),(46,1),(47,1)}
       45:{3,4,5,7}:{(41,1),(43,1),(48,1)}
       46:{3,5,6,7}:{(42,1),(48,1)}
       47:{1,2,4,6,7}:{(43,1),(44,1),(48,1)}
       48:{3,4,6,7}:{(45,1),(46,1),(47,1)}

2356 :  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:{3,4,5,6}:{(4,1),(9,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,2,3,6,7}:{(5,1),(10,1)}
        9:{3,4,5,7}:{(6,1),(7,1),(11,1)}
       10:{1,2,4,6,7}:{(7,1),(8,1),(11,1),(12,1)}
       11:{3,4,6,7}:{(9,1),(10,1),(13,1)}
       12:{1,2,5,6,7}:{(10,1),(13,1)}
       13:{3,5,6,7}:{(11,1),(12,1),(14,1)}
       14:{4,5,6,7}:{(13,1)}

2357 :   0:{3,4,5,6,7}:{(3,1),(4,1),(32,1),(151,1)}
         1:{1,3,4,5,6}:{(6,1),(7,1),(56,1),(93,1),(135,1)}
         2:{2,3,4,5,6}:{(9,1),(10,1),(56,1),(103,1),(139,1)}
         3:{2,4,5,6,7}:{(0,1),(13,1),(153,1)}
         4:{1,4,5,6,7}:{(0,1),(12,1),(152,1)}
         5:{1,2,3,4,6}:{(16,1),(17,1),(63,1),(64,1)}
         6:{1,2,4,5,6}:{(1,1),(20,1),(21,1),(64,1),(85,1),(120,1)}
         7:{1,3,4,5,7}:{(1,1),(18,1),(21,1),(89,1),(119,1),(147,1)}
         8:{1,2,3,4,6}:{(23,1),(24,1),(74,1),(75,1)}
         9:{1,2,4,5,6}:{(2,1),(27,1),(28,1),(75,1),(87,1),(127,1)}
        10:{2,3,4,5,7}:{(2,1),(25,1),(28,1),(89,1),(126,1),(150,1)}
        11:{1,2,3,4,6,7}:{(16,1),(23,1),(29,1),(63,1),(74,1),(83,1),(121,1),(128,1),(132,1)}
        12:{1,3,5,6,7}:{(4,1),(18,1),(30,1),(32,1),(147,1)}
        13:{2,3,5,6,7}:{(3,1),(25,1),(31,1),(32,1),(150,1)}
        14:{1,2,4,5,6,7}:{(3,1),(4,1),(30,1),(31,1),(32,1),(86,1),(88,1),(133,1)}
        15:{2,3,4,5,6}:{(33,1),(34,1),(40,1),(98,1),(142,1)}
        16:{1,2,3,4,7}:{(5,1),(35,1),(97,1)}
        17:{1,2,3,5}:{(5,1),(36,1)}
        18:{1,3,4,6,7}:{(7,1),(12,1),(39,1),(57,1)}
        19:{2,3,4,5}:{(36,1),(40,1)}
        20:{2,3,5,6}:{(6,1),(40,1),(41,1)}
        21:{1,2,4,5,7}:{(6,1),(7,1),(39,1),(41,1),(97,1),(114,1),(137,1)}
        22:{1,3,4,5,6}:{(42,1),(43,1),(49,1),(108,1),(142,1)}
        23:{1,2,3,4,7}:{(8,1),(44,1),(107,1)}
        24:{1,2,3,5}:{(8,1),(45,1)}
        25:{2,3,4,6,7}:{(10,1),(13,1),(48,1),(57,1)}
        26:{1,3,4,5}:{(45,1),(49,1)}
        27:{1,3,5,6}:{(9,1),(49,1),(50,1)}
        28:{1,2,4,5,7}:{(9,1),(10,1),(48,1),(50,1),(107,1),(115,1),(141,1)}
        29:{1,2,3,5,7}:{(11,1),(52,1),(53,1),(137,1),(141,1),(144,1)}
        30:{1,2,5,6,7}:{(12,1),(39,1),(54,1),(137,1)}
        31:{1,2,5,6,7}:{(13,1),(48,1),(55,1),(141,1)}
        32:{3,5,6,7}:{(14,1),(57,1),(144,1)}
        33:{1,2,4,5,6}:{(15,1),(60,1),(61,1),(64,1),(120,1),(145,1)}
        34:{2,3,4,5,7}:{(15,1),(58,1),(61,1),(68,1),(122,1),(151,1)}
        35:{1,2,3,5,7}:{(16,1),(17,1),(62,1),(63,1)}
        36:{1,2,4,5}:{(17,1),(19,1),(59,1),(64,1)}
        37:{1,2,3,5,6}:{(17,1),(20,1),(60,1),(63,1),(64,1),(65,1),(120,1)}
        38:{2,3,4,5,7}:{(19,1),(62,1),(66,1),(68,1),(82,1),(122,1)}
        39:{1,2,4,6,7}:{(18,1),(21,1),(30,1),(67,1),(86,1)}
        40:{2,3,4,6}:{(19,1),(20,1),(64,1),(68,1)}
        41:{2,3,5,7}:{(20,1),(21,1),(67,1),(68,1)}
        42:{1,2,4,5,6}:{(22,1),(71,1),(72,1),(75,1),(127,1),(148,1)}
        43:{1,3,4,5,7}:{(22,1),(69,1),(72,1),(79,1),(129,1),(151,1)}
        44:{1,2,3,5,7}:{(23,1),(24,1),(73,1),(74,1)}
        45:{1,2,4,5}:{(24,1),(26,1),(70,1),(75,1)}
        46:{1,2,3,5,6}:{(24,1),(27,1),(71,1),(74,1),(75,1),(76,1),(127,1)}
        47:{1,3,4,5,7}:{(26,1),(73,1),(77,1),(79,1),(82,1),(129,1)}
        48:{1,2,4,6,7}:{(25,1),(28,1),(31,1),(78,1),(88,1)}
        49:{1,3,4,6}:{(26,1),(27,1),(75,1),(79,1)}
        50:{1,3,5,7}:{(27,1),(28,1),(78,1),(79,1)}
        51:{3,4,5,6,7}:{(80,1),(81,1),(89,1),(130,1)}
        52:{1,2,4,5,7}:{(29,1),(82,1),(83,1)}
        53:{1,2,3,5,6}:{(29,1),(63,1),(74,1),(83,1),(120,1),(127,1),(131,1)}
        54:{2,3,5,6,7}:{(30,1),(32,1),(67,1),(86,1),(122,1)}
        55:{1,3,5,6,7}:{(31,1),(32,1),(78,1),(88,1),(129,1)}
        56:{3,4,5,6}:{(85,1),(87,1),(89,1),(131,1)}
        57:{3,4,6,7}:{(32,1),(86,1),(88,1),(89,1)}
        58:{2,3,4,6,7}:{(34,1),(90,1),(92,1),(143,1)}
        59:{1,3,4,5}:{(36,1),(93,1)}
        60:{1,3,5,6}:{(33,1),(93,1),(94,1)}
        61:{1,2,4,5,7}:{(33,1),(34,1),(92,1),(94,1),(97,1),(137,1),(152,1)}
        62:{1,2,4,5,7}:{(35,1),(36,1),(38,1),(91,1),(95,1),(97,1),(137,1)}
        63:{1,2,3,6}:{(35,1),(95,1)}
        64:{1,2,4,6}:{(36,1),(37,1),(40,1),(93,1),(97,1)}
        65:{1,2,3,5,7}:{(37,1),(41,1),(94,1),(96,1),(97,1),(137,1)}
        66:{2,3,4,6}:{(38,1),(95,1),(98,1),(111,1)}
        67:{2,3,6,7}:{(39,1),(41,1)}
        68:{2,3,4,7}:{(40,1),(41,1),(97,1)}
        69:{1,3,4,6,7}:{(43,1),(100,1),(102,1),(143,1)}
        70:{2,3,4,5}:{(45,1),(103,1)}
        71:{2,3,5,6}:{(42,1),(103,1),(104,1)}
        72:{1,2,4,5,7}:{(42,1),(43,1),(102,1),(104,1),(107,1),(141,1),(153,1)}
        73:{1,2,4,5,7}:{(44,1),(45,1),(47,1),(101,1),(105,1),(107,1),(141,1)}
        74:{1,2,3,6}:{(44,1),(105,1)}
        75:{1,2,4,6}:{(45,1),(46,1),(49,1),(103,1),(107,1)}
        76:{1,2,3,5,7}:{(46,1),(50,1),(104,1),(106,1),(107,1),(141,1)}
        77:{1,3,4,6}:{(47,1),(105,1),(108,1),(111,1)}
        78:{1,3,6,7}:{(48,1),(50,1)}
        79:{1,3,4,7}:{(49,1),(50,1),(107,1)}
        80:{2,4,5,6,7}:{(51,1),(90,1),(114,1)}
        81:{1,4,5,6,7}:{(51,1),(100,1),(115,1)}
        82:{3,4,5,7}:{(52,1),(111,1),(144,1)}
        83:{1,2,4,6}:{(52,1),(53,1),(111,1)}
        84:{1,2,3,5,6,7}:{(53,1),(54,1),(55,1),(96,1),(106,1),(113,1),(134,1),(137,1),(138,1),(141,1),(144,1)}
        85:{2,4,5,6}:{(56,1),(98,1),(114,1)}
        86:{2,4,6,7}:{(54,1),(57,1),(114,1)}
        87:{1,4,5,6}:{(56,1),(108,1),(115,1)}
        88:{1,4,6,7}:{(55,1),(57,1),(115,1)}
        89:{3,4,5,7}:{(56,1),(57,1),(114,1),(115,1),(144,1)}
        90:{2,3,5,6,7}:{(58,1),(80,1),(116,1),(122,1),(130,1)}
        91:{1,3,4,5,7}:{(59,1),(62,1),(82,1),(117,1),(119,1),(147,1)}
        92:{1,2,4,6,7}:{(58,1),(61,1),(116,1),(118,1),(146,1)}
        93:{1,3,4,6}:{(59,1),(60,1),(64,1),(119,1)}
        94:{1,3,5,7}:{(60,1),(61,1),(118,1),(119,1)}
        95:{1,2,4,6}:{(62,1),(63,1),(66,1),(117,1),(120,1)}
        96:{1,2,3,6,7}:{(63,1),(65,1),(67,1),(118,1),(121,1)}
        97:{1,2,4,7}:{(64,1),(65,1),(68,1),(119,1)}
        98:{2,3,5,6}:{(66,1),(85,1),(120,1),(122,1),(131,1)}
        99:{2,3,4,6,7}:{(66,1),(67,1),(68,1),(86,1),(121,1),(122,1),(132,1)}
       100:{1,3,5,6,7}:{(69,1),(81,1),(123,1),(129,1),(130,1)}
       101:{2,3,4,5,7}:{(70,1),(73,1),(82,1),(124,1),(126,1),(150,1)}
       102:{1,2,4,6,7}:{(69,1),(72,1),(123,1),(125,1),(149,1)}
       103:{2,3,4,6}:{(70,1),(71,1),(75,1),(126,1)}
       104:{2,3,5,7}:{(71,1),(72,1),(125,1),(126,1)}
       105:{1,2,4,6}:{(73,1),(74,1),(77,1),(124,1),(127,1)}
       106:{1,2,3,6,7}:{(74,1),(76,1),(78,1),(125,1),(128,1)}
       107:{1,2,4,7}:{(75,1),(76,1),(79,1),(126,1)}
       108:{1,3,5,6}:{(77,1),(87,1),(127,1),(129,1),(131,1)}
       109:{1,3,4,6,7}:{(77,1),(78,1),(79,1),(88,1),(128,1),(129,1),(132,1)}
       110:{1,2,4,5,6,7}:{(80,1),(81,1),(116,1),(123,1),(130,1),(133,1),(146,1),(149,1)}
       111:{3,4,6}:{(82,1),(83,1),(131,1)}
       112:{1,2,4,5,6}:{(83,1),(85,1),(87,1),(120,1),(127,1),(131,1),(133,1),(145,1),(148,1)}
       113:{1,2,4,6,7}:{(83,1),(84,1),(86,1),(88,1),(132,1),(133,1),(146,1),(149,1)}
       114:{2,4,5,7}:{(85,1),(86,1),(89,1),(122,1)}
       115:{1,4,5,7}:{(87,1),(88,1),(89,1),(129,1)}
       116:{1,2,5,6,7}:{(90,1),(92,1),(134,1),(137,1)}
       117:{1,3,4,6}:{(91,1),(95,1),(111,1),(135,1)}
       118:{1,3,6,7}:{(92,1),(94,1)}
       119:{1,3,4,7}:{(93,1),(94,1),(97,1)}
       120:{1,2,5,6}:{(95,1),(98,1),(135,1),(137,1)}
       121:{1,2,4,6,7}:{(95,1),(96,1),(97,1),(99,1),(136,1),(137,1)}
       122:{2,3,5,7}:{(98,1),(99,1),(114,1),(137,1),(144,1)}
       123:{1,2,5,6,7}:{(100,1),(102,1),(138,1),(141,1)}
       124:{2,3,4,6}:{(101,1),(105,1),(111,1),(139,1)}
       125:{2,3,6,7}:{(102,1),(104,1)}
       126:{2,3,4,7}:{(103,1),(104,1),(107,1)}
       127:{1,2,5,6}:{(105,1),(108,1),(139,1),(141,1)}
       128:{1,2,4,6,7}:{(105,1),(106,1),(107,1),(109,1),(140,1),(141,1)}
       129:{1,3,5,7}:{(108,1),(109,1),(115,1),(141,1),(144,1)}
       130:{3,5,6,7}:{(110,1),(143,1),(144,1)}
       131:{3,5,6}:{(111,1),(112,1),(144,1)}
       132:{3,4,6,7}:{(111,1),(113,1),(144,1)}
       133:{1,2,4,5,7}:{(112,1),(113,1),(114,1),(115,1),(137,1),(141,1),(144,1),(152,1),(153,1)}
       134:{1,3,5,6,7}:{(116,1),(118,1),(130,1),(146,1),(147,1)}
       135:{1,3,5,6}:{(117,1),(120,1),(131,1),(145,1),(147,1)}
       136:{1,3,4,6,7}:{(117,1),(118,1),(119,1),(121,1),(132,1),(146,1),(147,1)}
       137:{1,2,5,7}:{(120,1),(121,1),(122,1),(147,1)}
       138:{2,3,5,6,7}:{(123,1),(125,1),(130,1),(149,1),(150,1)}
       139:{2,3,5,6}:{(124,1),(127,1),(131,1),(148,1),(150,1)}
       140:{2,3,4,6,7}:{(124,1),(125,1),(126,1),(128,1),(132,1),(149,1),(150,1)}
       141:{1,2,5,7}:{(127,1),(128,1),(129,1),(150,1)}
       142:{3,4,5,6}:{(131,1),(145,1),(148,1),(151,1)}
       143:{3,4,6,7}:{(130,1),(146,1),(149,1),(151,1)}
       144:{3,5,7}:{(131,1),(132,1),(133,1)}
       145:{1,4,5,6}:{(135,1),(142,1),(152,1)}
       146:{1,4,6,7}:{(134,1),(143,1),(152,1)}
       147:{1,3,5,7}:{(135,1),(136,1),(137,1),(144,1),(152,1)}
       148:{2,4,5,6}:{(139,1),(142,1),(153,1)}
       149:{2,4,6,7}:{(138,1),(143,1),(153,1)}
       150:{2,3,5,7}:{(139,1),(140,1),(141,1),(144,1),(153,1)}
       151:{3,4,5,7}:{(142,1),(143,1),(144,1),(152,1),(153,1)}
       152:{1,4,5,7}:{(145,1),(146,1),(147,1),(151,1)}
       153:{2,4,5,7}:{(148,1),(149,1),(150,1),(151,1)}

2358 :  0:{1,2,3,4,5}:{(4,1)}
        1:{1,3,4,5,6}:{(5,1),(6,1),(27,1)}
        2:{2,3,4,5,6}:{(5,1),(7,1),(27,1)}
        3:{1,2,3,4,5,7}:{(0,1),(9,1),(10,1),(22,1),(47,1),(55,1)}
        4:{1,2,3,4,6}:{(0,1),(8,1),(10,1)}
        5:{1,2,4,5,6}:{(1,1),(2,1),(8,1),(11,1)}
        6:{1,3,4,5,7}:{(1,1),(11,1),(12,1),(35,1)}
        7:{2,3,4,5,7}:{(2,1),(11,1),(13,1),(35,1)}
        8:{1,2,3,5,6}:{(4,1),(5,1),(14,1)}
        9:{1,2,3,4,6}:{(3,1),(15,1)}
       10:{1,2,3,4,7}:{(4,1),(14,1)}
       11:{1,2,4,5,7}:{(5,1),(6,1),(7,1),(14,1),(17,1)}
       12:{1,3,4,6,7}:{(6,1),(17,1),(18,1),(39,1)}
       13:{2,3,4,6,7}:{(7,1),(17,1),(19,1),(39,1)}
       14:{1,2,3,5,7}:{(8,1),(10,1),(11,1),(20,1)}
       15:{1,2,3,5,6}:{(9,1),(21,1),(22,1)}
       16:{1,2,3,4,6,7}:{(9,1),(10,1),(20,1),(22,1),(32,1),(54,1),(55,1)}
       17:{1,2,4,6,7}:{(11,1),(12,1),(13,1),(20,1),(23,1)}
       18:{1,3,5,6,7}:{(12,1),(23,1),(24,1),(36,1)}
       19:{2,3,5,6,7}:{(13,1),(23,1),(25,1),(36,1)}
       20:{1,2,3,6,7}:{(14,1),(17,1)}
       21:{1,2,4,5,6}:{(15,1),(27,1),(28,1)}
       22:{1,2,3,5,7}:{(15,1),(16,1),(28,1)}
       23:{1,2,5,6,7}:{(17,1),(18,1),(19,1)}
       24:{1,4,5,6,7}:{(18,1),(30,1)}
       25:{2,4,5,6,7}:{(19,1),(31,1)}
       26:{1,2,3,5,6,7}:{(20,1),(22,1),(23,1),(32,1),(36,1),(50,1),(54,1)}
       27:{3,4,5,6}:{(21,1),(35,1)}
       28:{1,2,4,5,7}:{(21,1),(22,1),(32,1),(35,1)}
       29:{1,2,4,5,6,7}:{(23,1),(24,1),(25,1),(32,1),(36,1),(37,1),(38,1),(50,1)}
       30:{3,4,5,6,7}:{(24,1),(36,1),(37,1)}
       31:{3,4,5,6,7}:{(25,1),(36,1),(38,1)}
       32:{1,2,4,6,7}:{(26,1),(28,1),(39,1)}
       33:{2,3,4,5,6}:{(27,1),(40,1),(41,1)}
       34:{1,3,4,5,6}:{(27,1),(40,1),(42,1)}
       35:{3,4,5,7}:{(27,1),(28,1),(39,1)}
       36:{3,5,6,7}:{(29,1),(39,1)}
       37:{2,4,5,6,7}:{(30,1),(43,1)}
       38:{1,4,5,6,7}:{(31,1),(44,1)}
       39:{3,4,6,7}:{(32,1),(35,1),(36,1)}
       40:{1,2,4,5,6}:{(33,1),(34,1),(48,1),(49,1)}
       41:{2,3,4,5,7}:{(33,1),(35,1),(45,1),(49,1)}
       42:{1,3,4,5,7}:{(34,1),(35,1),(46,1),(49,1)}
       43:{2,3,5,6,7}:{(36,1),(37,1),(45,1),(50,1)}
       44:{1,3,5,6,7}:{(36,1),(38,1),(46,1),(50,1)}
       45:{2,3,4,6,7}:{(39,1),(41,1),(43,1),(51,1)}
       46:{1,3,4,6,7}:{(39,1),(42,1),(44,1),(51,1)}
       47:{1,2,3,4,5}:{(52,1)}
       48:{1,2,3,5,6}:{(40,1),(52,1),(53,1)}
       49:{1,2,4,5,7}:{(40,1),(41,1),(42,1),(51,1),(53,1)}
       50:{1,2,5,6,7}:{(43,1),(44,1),(51,1)}
       51:{1,2,4,6,7}:{(45,1),(46,1),(49,1),(50,1),(54,1)}
       52:{1,2,3,4,6}:{(47,1),(48,1),(55,1)}
       53:{1,2,3,5,7}:{(48,1),(49,1),(54,1),(55,1)}
       54:{1,2,3,6,7}:{(51,1),(53,1)}
       55:{1,2,3,4,7}:{(52,1),(53,1)}

2359 :  0:{2,3,4,5,6,7}:{(2,1),(14,1),(19,1)}
        1:{1,3,4,5,6,7}:{(3,1),(16,1),(17,1)}
        2:{1,2,4,5,6,7}:{(0,1),(4,1),(10,1),(24,1)}
        3:{1,2,4,5,6,7}:{(1,1),(5,1),(12,1),(22,1)}
        4:{1,3,5,6,7}:{(2,1),(7,1),(29,1)}
        5:{2,3,5,6,7}:{(3,1),(9,1),(27,1)}
        6:{1,2,3,5,6,7}:{(4,1),(10,1),(21,1),(31,1)}
        7:{1,3,4,6,7}:{(4,1),(10,1),(11,1),(33,1)}
        8:{1,2,3,5,6,7}:{(5,1),(12,1),(23,1),(31,1)}
        9:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(32,1)}
       10:{1,2,4,6,7}:{(6,1),(7,1),(14,1),(15,1),(34,1)}
       11:{1,3,4,5,7}:{(7,1),(15,1),(16,1)}
       12:{1,2,4,6,7}:{(8,1),(9,1),(17,1),(18,1),(34,1)}
       13:{2,3,4,5,7}:{(9,1),(18,1),(19,1)}
       14:{2,3,4,6,7}:{(10,1),(21,1),(32,1)}
       15:{1,2,4,5,7}:{(10,1),(11,1),(21,1),(22,1)}
       16:{1,3,4,5,6}:{(11,1),(22,1),(33,1)}
       17:{1,3,4,6,7}:{(12,1),(23,1),(33,1)}
       18:{1,2,4,5,7}:{(12,1),(13,1),(23,1),(24,1)}
       19:{2,3,4,5,6}:{(13,1),(24,1),(32,1)}
       20:{1,2,3,4,6,7}:{(14,1),(17,1),(25,1),(34,1)}
       21:{2,3,5,7}:{(14,1),(15,1),(27,1)}
       22:{1,2,4,5,6}:{(15,1),(16,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(17,1),(18,1),(29,1)}
       24:{1,2,4,5,6}:{(18,1),(19,1),(29,1),(34,1)}
       25:{1,2,3,5,7}:{(20,1),(21,1),(23,1),(30,1),(31,1)}
       26:{2,3,4,5,7}:{(21,1),(30,1),(32,1)}
       27:{2,3,5,6}:{(21,1),(22,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(30,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(33,1)}
       30:{1,2,4,5,7}:{(25,1),(26,1),(28,1),(34,1)}
       31:{1,2,3,5,6}:{(25,1),(27,1),(29,1),(34,1)}
       32:{2,3,4,6}:{(26,1),(27,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(34,1)}
       34:{1,2,4,6}:{(30,1),(31,1),(32,1),(33,1)}

2360 :  0:{1,2,3,4,5}:{(2,1)}
        1:{1,2,3,4,5,7}:{(0,1),(3,1),(5,1),(16,1),(27,1),(44,1)}
        2:{1,2,3,4,6}:{(0,1),(4,1),(5,1)}
        3:{1,2,3,4,6}:{(1,1),(9,1)}
        4:{1,2,3,5,6}:{(2,1),(8,1),(11,1)}
        5:{1,2,3,4,7}:{(2,1),(11,1)}
        6:{2,3,4,5,6}:{(8,1),(12,1),(21,1)}
        7:{1,3,4,5,6}:{(8,1),(13,1),(21,1)}
        8:{1,2,4,5,6}:{(4,1),(6,1),(7,1),(14,1)}
        9:{1,2,3,5,6}:{(3,1),(15,1),(16,1)}
       10:{1,2,3,4,6,7}:{(3,1),(5,1),(16,1),(17,1),(31,1),(44,1),(55,1)}
       11:{1,2,3,5,7}:{(4,1),(5,1),(14,1),(17,1)}
       12:{2,3,4,5,7}:{(6,1),(14,1),(18,1),(30,1)}
       13:{1,3,4,5,7}:{(7,1),(14,1),(19,1),(30,1)}
       14:{1,2,4,5,7}:{(8,1),(11,1),(12,1),(13,1),(20,1)}
       15:{1,2,4,5,6}:{(9,1),(21,1),(22,1)}
       16:{1,2,3,5,7}:{(9,1),(10,1),(22,1)}
       17:{1,2,3,6,7}:{(11,1),(20,1)}
       18:{2,3,4,6,7}:{(12,1),(20,1),(24,1),(39,1)}
       19:{1,3,4,6,7}:{(13,1),(20,1),(25,1),(39,1)}
       20:{1,2,4,6,7}:{(14,1),(17,1),(18,1),(19,1),(26,1)}
       21:{3,4,5,6}:{(15,1),(30,1)}
       22:{1,2,4,5,7}:{(15,1),(16,1),(30,1),(31,1)}
       23:{1,2,3,5,6,7}:{(16,1),(17,1),(26,1),(31,1),(42,1),(54,1),(55,1)}
       24:{2,3,5,6,7}:{(18,1),(26,1),(32,1),(42,1)}
       25:{1,3,5,6,7}:{(19,1),(26,1),(33,1),(42,1)}
       26:{1,2,5,6,7}:{(20,1),(24,1),(25,1)}
       27:{1,2,3,4,5}:{(35,1)}
       28:{1,3,4,5,6}:{(21,1),(36,1),(37,1)}
       29:{2,3,4,5,6}:{(21,1),(36,1),(38,1)}
       30:{3,4,5,7}:{(21,1),(22,1),(39,1)}
       31:{1,2,4,6,7}:{(22,1),(23,1),(39,1)}
       32:{2,4,5,6,7}:{(24,1),(40,1)}
       33:{1,4,5,6,7}:{(25,1),(41,1)}
       34:{1,2,4,5,6,7}:{(26,1),(31,1),(32,1),(33,1),(42,1),(48,1),(49,1),(54,1)}
       35:{1,2,3,4,6}:{(27,1),(43,1),(44,1)}
       36:{1,2,4,5,6}:{(28,1),(29,1),(43,1),(45,1)}
       37:{1,3,4,5,7}:{(28,1),(30,1),(45,1),(46,1)}
       38:{2,3,4,5,7}:{(29,1),(30,1),(45,1),(47,1)}
       39:{3,4,6,7}:{(30,1),(31,1),(42,1)}
       40:{3,4,5,6,7}:{(32,1),(42,1),(48,1)}
       41:{3,4,5,6,7}:{(33,1),(42,1),(49,1)}
       42:{3,5,6,7}:{(34,1),(39,1)}
       43:{1,2,3,5,6}:{(35,1),(36,1),(52,1)}
       44:{1,2,3,4,7}:{(35,1),(52,1)}
       45:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(52,1),(53,1)}
       46:{1,3,4,6,7}:{(37,1),(39,1),(50,1),(53,1)}
       47:{2,3,4,6,7}:{(38,1),(39,1),(51,1),(53,1)}
       48:{1,4,5,6,7}:{(40,1),(50,1)}
       49:{2,4,5,6,7}:{(41,1),(51,1)}
       50:{1,3,5,6,7}:{(42,1),(46,1),(48,1),(54,1)}
       51:{2,3,5,6,7}:{(42,1),(47,1),(49,1),(54,1)}
       52:{1,2,3,5,7}:{(43,1),(44,1),(45,1),(55,1)}
       53:{1,2,4,6,7}:{(45,1),(46,1),(47,1),(54,1),(55,1)}
       54:{1,2,5,6,7}:{(50,1),(51,1),(53,1)}
       55:{1,2,3,6,7}:{(52,1),(53,1)}

2361 :  0:{1,3,4,5,6,7}:{(1,1),(9,1),(30,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(6,1),(33,1)}
        2:{2,3,5,6,7}:{(1,1),(4,1),(34,1)}
        3:{1,2,3,5,6,7}:{(2,1),(6,1),(14,1),(23,1)}
        4:{2,3,4,6,7}:{(2,1),(6,1),(7,1),(32,1)}
        5:{2,3,4,5,6,7}:{(8,1),(11,1),(26,1)}
        6:{1,2,4,6,7}:{(3,1),(4,1),(9,1),(10,1),(29,1)}
        7:{2,3,4,5,7}:{(4,1),(10,1),(11,1)}
        8:{1,2,4,5,6,7}:{(5,1),(13,1),(15,1),(21,1)}
        9:{1,3,4,6,7}:{(6,1),(14,1),(25,1)}
       10:{1,2,4,5,7}:{(6,1),(7,1),(14,1),(15,1)}
       11:{2,3,4,5,6}:{(7,1),(15,1),(32,1)}
       12:{1,2,3,4,6,7}:{(9,1),(17,1),(26,1),(29,1)}
       13:{1,3,5,6,7}:{(8,1),(18,1),(20,1)}
       14:{1,3,5,7}:{(9,1),(10,1),(20,1)}
       15:{1,2,4,5,6}:{(10,1),(11,1),(20,1),(29,1)}
       16:{1,2,3,5,6,7}:{(13,1),(21,1),(23,1),(31,1)}
       17:{1,2,3,5,7}:{(12,1),(14,1),(22,1),(23,1),(31,1)}
       18:{1,3,4,6,7}:{(13,1),(21,1),(24,1),(25,1)}
       19:{1,3,4,5,7}:{(14,1),(22,1),(25,1)}
       20:{1,3,5,6}:{(14,1),(15,1),(25,1)}
       21:{1,2,4,6,7}:{(16,1),(18,1),(26,1),(28,1),(29,1)}
       22:{1,2,4,5,7}:{(17,1),(19,1),(27,1),(29,1)}
       23:{1,2,3,5,6}:{(17,1),(20,1),(29,1),(34,1)}
       24:{1,3,4,5,7}:{(18,1),(28,1),(30,1)}
       25:{1,3,4,6}:{(19,1),(20,1),(29,1)}
       26:{2,3,4,6,7}:{(21,1),(31,1),(32,1)}
       27:{2,3,4,5,7}:{(22,1),(31,1),(32,1)}
       28:{1,2,4,5,7}:{(21,1),(24,1),(31,1),(33,1)}
       29:{1,2,4,6}:{(22,1),(23,1),(25,1),(32,1)}
       30:{1,3,4,5,6}:{(24,1),(25,1),(33,1)}
       31:{2,3,5,7}:{(26,1),(28,1),(34,1)}
       32:{2,3,4,6}:{(27,1),(29,1),(34,1)}
       33:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,3,5,6}:{(31,1),(32,1),(33,1)}

2362 :  0:{1,2,3,4,5}:{(2,1)}
        1:{1,2,3,4,5,7}:{(0,1),(3,1),(5,1),(13,1),(15,1),(28,1)}
        2:{1,2,3,4,6}:{(0,1),(4,1),(5,1)}
        3:{1,2,3,4,6}:{(1,1),(7,1)}
        4:{1,2,3,5,6}:{(2,1),(9,1),(10,1)}
        5:{1,2,3,4,7}:{(2,1),(10,1)}
        6:{2,3,4,5,6}:{(9,1),(11,1),(21,1)}
        7:{1,2,3,5,6}:{(3,1),(14,1),(15,1)}
        8:{1,2,3,4,6,7}:{(3,1),(5,1),(15,1),(17,1),(28,1),(32,1),(45,1)}
        9:{1,2,4,5,6}:{(4,1),(6,1),(12,1),(16,1)}
       10:{1,2,3,5,7}:{(4,1),(5,1),(16,1),(17,1)}
       11:{2,3,4,5,7}:{(6,1),(16,1),(18,1),(31,1)}
       12:{1,3,4,5,6}:{(9,1),(19,1),(21,1)}
       13:{1,2,3,4,5}:{(20,1)}
       14:{1,2,4,5,6}:{(7,1),(21,1),(22,1)}
       15:{1,2,3,5,7}:{(7,1),(8,1),(22,1)}
       16:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(19,1),(24,1)}
       17:{1,2,3,6,7}:{(10,1),(24,1)}
       18:{2,3,4,6,7}:{(11,1),(24,1),(25,1),(40,1)}
       19:{1,3,4,5,7}:{(12,1),(16,1),(26,1),(31,1)}
       20:{1,2,3,4,6}:{(13,1),(27,1),(28,1)}
       21:{3,4,5,6}:{(14,1),(31,1)}
       22:{1,2,4,5,7}:{(14,1),(15,1),(31,1),(32,1)}
       23:{1,2,3,5,6,7}:{(15,1),(17,1),(32,1),(33,1),(45,1),(48,1),(55,1)}
       24:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(26,1),(33,1)}
       25:{2,3,5,6,7}:{(18,1),(33,1),(34,1),(48,1)}
       26:{1,3,4,6,7}:{(19,1),(24,1),(35,1),(40,1)}
       27:{1,2,3,5,6}:{(20,1),(36,1),(37,1)}
       28:{1,2,3,4,7}:{(20,1),(37,1)}
       29:{2,3,4,5,6}:{(21,1),(36,1),(38,1)}
       30:{1,3,4,5,6}:{(21,1),(36,1),(39,1)}
       31:{3,4,5,7}:{(21,1),(22,1),(40,1)}
       32:{1,2,4,6,7}:{(22,1),(23,1),(40,1)}
       33:{1,2,5,6,7}:{(24,1),(25,1),(35,1)}
       34:{2,4,5,6,7}:{(25,1),(42,1)}
       35:{1,3,5,6,7}:{(26,1),(33,1),(43,1),(48,1)}
       36:{1,2,4,5,6}:{(27,1),(29,1),(30,1),(44,1)}
       37:{1,2,3,5,7}:{(27,1),(28,1),(44,1),(45,1)}
       38:{2,3,4,5,7}:{(29,1),(31,1),(44,1),(46,1)}
       39:{1,3,4,5,7}:{(30,1),(31,1),(44,1),(47,1)}
       40:{3,4,6,7}:{(31,1),(32,1),(48,1)}
       41:{1,2,4,5,6,7}:{(32,1),(33,1),(34,1),(43,1),(48,1),(49,1),(54,1),(55,1)}
       42:{3,4,5,6,7}:{(34,1),(48,1),(49,1)}
       43:{1,4,5,6,7}:{(35,1),(50,1)}
       44:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(39,1),(51,1)}
       45:{1,2,3,6,7}:{(37,1),(51,1)}
       46:{2,3,4,6,7}:{(38,1),(40,1),(51,1),(52,1)}
       47:{1,3,4,6,7}:{(39,1),(40,1),(51,1),(53,1)}
       48:{3,5,6,7}:{(40,1),(41,1)}
       49:{1,4,5,6,7}:{(42,1),(53,1)}
       50:{3,4,5,6,7}:{(43,1),(48,1),(54,1)}
       51:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(47,1),(55,1)}
       52:{2,3,5,6,7}:{(46,1),(48,1),(54,1),(55,1)}
       53:{1,3,5,6,7}:{(47,1),(48,1),(49,1),(55,1)}
       54:{2,4,5,6,7}:{(50,1),(52,1)}
       55:{1,2,5,6,7}:{(51,1),(52,1),(53,1)}

2363 :  0:{1,3,4,5,6,7}:{(1,1),(12,1),(22,1)}
        1:{1,2,4,5,6,7}:{(0,1),(3,1),(8,1),(27,1)}
        2:{2,3,4,5,6,7}:{(4,1),(14,1),(20,1)}
        3:{2,3,5,6,7}:{(1,1),(6,1),(32,1)}
        4:{1,2,4,5,6,7}:{(2,1),(7,1),(15,1),(19,1)}
        5:{1,2,3,5,6,7}:{(3,1),(8,1),(18,1),(29,1)}
        6:{2,3,4,6,7}:{(3,1),(8,1),(9,1),(34,1)}
        7:{1,3,5,6,7}:{(4,1),(11,1),(25,1)}
        8:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(13,1),(33,1)}
        9:{2,3,4,5,7}:{(6,1),(13,1),(14,1)}
       10:{1,2,3,5,6,7}:{(7,1),(15,1),(26,1),(29,1)}
       11:{1,3,4,6,7}:{(7,1),(15,1),(16,1),(30,1)}
       12:{1,3,4,6,7}:{(8,1),(18,1),(30,1)}
       13:{1,2,4,5,7}:{(8,1),(9,1),(18,1),(19,1)}
       14:{2,3,4,5,6}:{(9,1),(19,1),(34,1)}
       15:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(21,1),(33,1)}
       16:{1,3,4,5,7}:{(11,1),(21,1),(22,1)}
       17:{1,2,3,4,6,7}:{(12,1),(20,1),(23,1),(33,1)}
       18:{1,3,5,7}:{(12,1),(13,1),(25,1)}
       19:{1,2,4,5,6}:{(13,1),(14,1),(25,1),(33,1)}
       20:{2,3,4,6,7}:{(15,1),(26,1),(34,1)}
       21:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(27,1)}
       22:{1,3,4,5,6}:{(16,1),(27,1),(30,1)}
       23:{1,2,3,5,7}:{(17,1),(18,1),(26,1),(28,1),(29,1)}
       24:{1,3,4,5,7}:{(18,1),(28,1),(30,1)}
       25:{1,3,5,6}:{(18,1),(19,1),(30,1)}
       26:{2,3,5,7}:{(20,1),(21,1),(32,1)}
       27:{1,2,4,5,6}:{(21,1),(22,1),(32,1),(33,1)}
       28:{1,2,4,5,7}:{(23,1),(24,1),(31,1),(33,1)}
       29:{1,2,3,5,6}:{(23,1),(25,1),(32,1),(33,1)}
       30:{1,3,4,6}:{(24,1),(25,1),(33,1)}
       31:{2,3,4,5,7}:{(26,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(26,1),(27,1),(34,1)}
       33:{1,2,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,3,4,6}:{(31,1),(32,1),(33,1)}

2364 :  0:{2,3,4,5,6,7}:{(1,1),(9,1),(30,1)}
        1:{1,2,4,5,6,7}:{(0,1),(2,1),(6,1),(33,1)}
        2:{1,3,5,6,7}:{(1,1),(4,1),(34,1)}
        3:{1,2,3,5,6,7}:{(2,1),(6,1),(14,1),(23,1)}
        4:{1,3,4,6,7}:{(2,1),(6,1),(7,1),(32,1)}
        5:{1,3,4,5,6,7}:{(8,1),(11,1),(26,1)}
        6:{1,2,4,6,7}:{(3,1),(4,1),(9,1),(10,1),(29,1)}
        7:{1,3,4,5,7}:{(4,1),(10,1),(11,1)}
        8:{1,2,4,5,6,7}:{(5,1),(13,1),(15,1),(21,1)}
        9:{2,3,4,6,7}:{(6,1),(14,1),(25,1)}
       10:{1,2,4,5,7}:{(6,1),(7,1),(14,1),(15,1)}
       11:{1,3,4,5,6}:{(7,1),(15,1),(32,1)}
       12:{1,2,3,4,6,7}:{(9,1),(17,1),(26,1),(29,1)}
       13:{2,3,5,6,7}:{(8,1),(18,1),(20,1)}
       14:{2,3,5,7}:{(9,1),(10,1),(20,1)}
       15:{1,2,4,5,6}:{(10,1),(11,1),(20,1),(29,1)}
       16:{1,2,3,5,6,7}:{(13,1),(21,1),(23,1),(31,1)}
       17:{1,2,3,5,7}:{(12,1),(14,1),(22,1),(23,1),(31,1)}
       18:{2,3,4,6,7}:{(13,1),(21,1),(24,1),(25,1)}
       19:{2,3,4,5,7}:{(14,1),(22,1),(25,1)}
       20:{2,3,5,6}:{(14,1),(15,1),(25,1)}
       21:{1,2,4,6,7}:{(16,1),(18,1),(26,1),(28,1),(29,1)}
       22:{1,2,4,5,7}:{(17,1),(19,1),(27,1),(29,1)}
       23:{1,2,3,5,6}:{(17,1),(20,1),(29,1),(34,1)}
       24:{2,3,4,5,7}:{(18,1),(28,1),(30,1)}
       25:{2,3,4,6}:{(19,1),(20,1),(29,1)}
       26:{1,3,4,6,7}:{(21,1),(31,1),(32,1)}
       27:{1,3,4,5,7}:{(22,1),(31,1),(32,1)}
       28:{1,2,4,5,7}:{(21,1),(24,1),(31,1),(33,1)}
       29:{1,2,4,6}:{(22,1),(23,1),(25,1),(32,1)}
       30:{2,3,4,5,6}:{(24,1),(25,1),(33,1)}
       31:{1,3,5,7}:{(26,1),(28,1),(34,1)}
       32:{1,3,4,6}:{(27,1),(29,1),(34,1)}
       33:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,3,5,6}:{(31,1),(32,1),(33,1)}

2365 :  0:{1,2,3,4,5}:{(2,1)}
        1:{1,2,3,4,5,7}:{(0,1),(3,1),(5,1),(13,1),(15,1),(28,1)}
        2:{1,2,3,4,6}:{(0,1),(4,1),(5,1)}
        3:{1,2,3,4,6}:{(1,1),(7,1)}
        4:{1,2,3,5,6}:{(2,1),(9,1),(10,1)}
        5:{1,2,3,4,7}:{(2,1),(10,1)}
        6:{1,3,4,5,6}:{(9,1),(11,1),(21,1)}
        7:{1,2,3,5,6}:{(3,1),(14,1),(15,1)}
        8:{1,2,3,4,6,7}:{(3,1),(5,1),(15,1),(17,1),(28,1),(32,1),(45,1)}
        9:{1,2,4,5,6}:{(4,1),(6,1),(12,1),(16,1)}
       10:{1,2,3,5,7}:{(4,1),(5,1),(16,1),(17,1)}
       11:{1,3,4,5,7}:{(6,1),(16,1),(18,1),(31,1)}
       12:{2,3,4,5,6}:{(9,1),(19,1),(21,1)}
       13:{1,2,3,4,5}:{(20,1)}
       14:{1,2,4,5,6}:{(7,1),(21,1),(22,1)}
       15:{1,2,3,5,7}:{(7,1),(8,1),(22,1)}
       16:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(19,1),(24,1)}
       17:{1,2,3,6,7}:{(10,1),(24,1)}
       18:{1,3,4,6,7}:{(11,1),(24,1),(25,1),(40,1)}
       19:{2,3,4,5,7}:{(12,1),(16,1),(26,1),(31,1)}
       20:{1,2,3,4,6}:{(13,1),(27,1),(28,1)}
       21:{3,4,5,6}:{(14,1),(31,1)}
       22:{1,2,4,5,7}:{(14,1),(15,1),(31,1),(32,1)}
       23:{1,2,3,5,6,7}:{(15,1),(17,1),(32,1),(33,1),(45,1),(48,1),(55,1)}
       24:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(26,1),(33,1)}
       25:{1,3,5,6,7}:{(18,1),(33,1),(34,1),(48,1)}
       26:{2,3,4,6,7}:{(19,1),(24,1),(35,1),(40,1)}
       27:{1,2,3,5,6}:{(20,1),(36,1),(37,1)}
       28:{1,2,3,4,7}:{(20,1),(37,1)}
       29:{2,3,4,5,6}:{(21,1),(36,1),(38,1)}
       30:{1,3,4,5,6}:{(21,1),(36,1),(39,1)}
       31:{3,4,5,7}:{(21,1),(22,1),(40,1)}
       32:{1,2,4,6,7}:{(22,1),(23,1),(40,1)}
       33:{1,2,5,6,7}:{(24,1),(25,1),(35,1)}
       34:{1,4,5,6,7}:{(25,1),(42,1)}
       35:{2,3,5,6,7}:{(26,1),(33,1),(43,1),(48,1)}
       36:{1,2,4,5,6}:{(27,1),(29,1),(30,1),(44,1)}
       37:{1,2,3,5,7}:{(27,1),(28,1),(44,1),(45,1)}
       38:{2,3,4,5,7}:{(29,1),(31,1),(44,1),(46,1)}
       39:{1,3,4,5,7}:{(30,1),(31,1),(44,1),(47,1)}
       40:{3,4,6,7}:{(31,1),(32,1),(48,1)}
       41:{1,2,4,5,6,7}:{(32,1),(33,1),(34,1),(43,1),(48,1),(49,1),(54,1),(55,1)}
       42:{3,4,5,6,7}:{(34,1),(48,1),(49,1)}
       43:{2,4,5,6,7}:{(35,1),(50,1)}
       44:{1,2,4,5,7}:{(36,1),(37,1),(38,1),(39,1),(51,1)}
       45:{1,2,3,6,7}:{(37,1),(51,1)}
       46:{2,3,4,6,7}:{(38,1),(40,1),(51,1),(52,1)}
       47:{1,3,4,6,7}:{(39,1),(40,1),(51,1),(53,1)}
       48:{3,5,6,7}:{(40,1),(41,1)}
       49:{2,4,5,6,7}:{(42,1),(52,1)}
       50:{3,4,5,6,7}:{(43,1),(48,1),(54,1)}
       51:{1,2,4,6,7}:{(44,1),(45,1),(46,1),(47,1),(55,1)}
       52:{2,3,5,6,7}:{(46,1),(48,1),(49,1),(55,1)}
       53:{1,3,5,6,7}:{(47,1),(48,1),(54,1),(55,1)}
       54:{1,4,5,6,7}:{(50,1),(53,1)}
       55:{1,2,5,6,7}:{(51,1),(52,1),(53,1)}

2366 :  0:{2,3,4,5,6,7}:{(1,1),(12,1),(22,1)}
        1:{1,2,4,5,6,7}:{(0,1),(3,1),(8,1),(27,1)}
        2:{1,3,4,5,6,7}:{(4,1),(14,1),(20,1)}
        3:{1,3,5,6,7}:{(1,1),(6,1),(32,1)}
        4:{1,2,4,5,6,7}:{(2,1),(7,1),(15,1),(19,1)}
        5:{1,2,3,5,6,7}:{(3,1),(8,1),(18,1),(29,1)}
        6:{1,3,4,6,7}:{(3,1),(8,1),(9,1),(34,1)}
        7:{2,3,5,6,7}:{(4,1),(11,1),(25,1)}
        8:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(13,1),(33,1)}
        9:{1,3,4,5,7}:{(6,1),(13,1),(14,1)}
       10:{1,2,3,5,6,7}:{(7,1),(15,1),(26,1),(29,1)}
       11:{2,3,4,6,7}:{(7,1),(15,1),(16,1),(30,1)}
       12:{2,3,4,6,7}:{(8,1),(18,1),(30,1)}
       13:{1,2,4,5,7}:{(8,1),(9,1),(18,1),(19,1)}
       14:{1,3,4,5,6}:{(9,1),(19,1),(34,1)}
       15:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(21,1),(33,1)}
       16:{2,3,4,5,7}:{(11,1),(21,1),(22,1)}
       17:{1,2,3,4,6,7}:{(12,1),(20,1),(23,1),(33,1)}
       18:{2,3,5,7}:{(12,1),(13,1),(25,1)}
       19:{1,2,4,5,6}:{(13,1),(14,1),(25,1),(33,1)}
       20:{1,3,4,6,7}:{(15,1),(26,1),(34,1)}
       21:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(27,1)}
       22:{2,3,4,5,6}:{(16,1),(27,1),(30,1)}
       23:{1,2,3,5,7}:{(17,1),(18,1),(26,1),(28,1),(29,1)}
       24:{2,3,4,5,7}:{(18,1),(28,1),(30,1)}
       25:{2,3,5,6}:{(18,1),(19,1),(30,1)}
       26:{1,3,5,7}:{(20,1),(21,1),(32,1)}
       27:{1,2,4,5,6}:{(21,1),(22,1),(32,1),(33,1)}
       28:{1,2,4,5,7}:{(23,1),(24,1),(31,1),(33,1)}
       29:{1,2,3,5,6}:{(23,1),(25,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(24,1),(25,1),(33,1)}
       31:{1,3,4,5,7}:{(26,1),(28,1),(34,1)}
       32:{1,3,5,6}:{(26,1),(27,1),(34,1)}
       33:{1,2,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,3,4,6}:{(31,1),(32,1),(33,1)}

2367 :  0:{1,3,4,5,6}:{(3,1),(4,1),(28,1),(82,1),(86,1)}
        1:{2,3,4,5,6}:{(5,1),(6,1),(25,1),(82,1),(85,1)}
        2:{3,4,5,6,7}:{(8,1),(9,1),(34,1),(68,1)}
        3:{1,3,4,5,7}:{(0,1),(10,1),(11,1),(43,1),(68,1),(74,1)}
        4:{1,2,4,5,6}:{(0,1),(11,1),(12,1),(36,1),(91,1),(93,1)}
        5:{2,3,4,5,7}:{(1,1),(13,1),(14,1),(40,1),(68,1),(72,1)}
        6:{1,2,4,5,6}:{(1,1),(14,1),(15,1),(36,1),(92,1),(93,1)}
        7:{1,2,3,4,6,7}:{(17,1),(37,1),(45,1),(48,1),(69,1),(71,1)}
        8:{1,4,5,6,7}:{(2,1),(18,1),(81,1)}
        9:{2,4,5,6,7}:{(2,1),(19,1),(80,1)}
       10:{1,3,4,6,7}:{(3,1),(18,1),(23,1),(52,1)}
       11:{1,2,4,5,7}:{(3,1),(4,1),(23,1),(24,1),(54,1),(80,1),(83,1)}
       12:{2,3,5,6}:{(4,1),(24,1),(25,1)}
       13:{2,3,4,6,7}:{(5,1),(19,1),(26,1),(52,1)}
       14:{1,2,4,5,7}:{(5,1),(6,1),(26,1),(27,1),(54,1),(81,1),(83,1)}
       15:{1,3,5,6}:{(6,1),(27,1),(28,1)}
       16:{1,2,3,5,6,7}:{(29,1),(31,1),(50,1),(51,1),(53,1),(61,1),(83,1)}
       17:{1,2,3,5,7}:{(7,1),(30,1),(31,1),(61,1),(83,1)}
       18:{1,3,5,6,7}:{(8,1),(10,1),(32,1),(34,1),(74,1)}
       19:{2,3,5,6,7}:{(9,1),(13,1),(33,1),(34,1),(72,1)}
       20:{1,2,4,5,6,7}:{(8,1),(9,1),(32,1),(33,1),(34,1),(47,1),(66,1),(67,1),(89,1)}
       21:{1,2,3,5,6}:{(12,1),(15,1),(35,1),(36,1),(38,1),(71,1),(93,1)}
       22:{1,2,3,4,6}:{(36,1),(37,1),(38,1),(71,1)}
       23:{1,2,4,6,7}:{(10,1),(11,1),(32,1),(39,1),(66,1)}
       24:{2,3,5,7}:{(11,1),(12,1),(39,1),(40,1)}
       25:{2,3,4,6}:{(12,1),(36,1),(40,1),(41,1)}
       26:{1,2,4,6,7}:{(13,1),(14,1),(33,1),(42,1),(67,1)}
       27:{1,3,5,7}:{(14,1),(15,1),(42,1),(43,1)}
       28:{1,3,4,6}:{(15,1),(36,1),(43,1),(44,1)}
       29:{1,2,4,6,7}:{(16,1),(45,1),(47,1),(48,1),(66,1),(67,1)}
       30:{1,2,4,5,7}:{(17,1),(46,1),(48,1)}
       31:{1,2,3,5,6}:{(17,1),(48,1),(71,1),(76,1),(93,1)}
       32:{1,2,5,6,7}:{(18,1),(23,1),(50,1),(83,1)}
       33:{1,2,5,6,7}:{(19,1),(26,1),(51,1),(83,1)}
       34:{3,5,6,7}:{(20,1),(52,1),(61,1),(94,1)}
       35:{1,2,3,5,7}:{(21,1),(24,1),(27,1),(53,1),(54,1),(83,1)}
       36:{1,2,4,6}:{(21,1),(25,1),(28,1),(54,1),(55,1)}
       37:{1,2,3,4,7}:{(22,1),(54,1),(56,1)}
       38:{1,2,3,5}:{(22,1),(55,1)}
       39:{2,3,6,7}:{(23,1),(24,1)}
       40:{2,3,4,7}:{(24,1),(25,1),(54,1)}
       41:{2,3,4,5}:{(25,1),(55,1)}
       42:{1,3,6,7}:{(26,1),(27,1)}
       43:{1,3,4,7}:{(27,1),(28,1),(54,1)}
       44:{1,3,4,5}:{(28,1),(55,1)}
       45:{3,4,6,7}:{(29,1),(61,1),(62,1)}
       46:{3,4,5,7}:{(30,1),(61,1),(62,1)}
       47:{1,2,4,5,7}:{(29,1),(61,1),(63,1),(80,1),(81,1),(83,1)}
       48:{1,2,4,6}:{(30,1),(31,1),(62,1)}
       49:{1,2,3,4,6,7}:{(37,1),(65,1),(69,1),(71,1),(87,1),(90,1)}
       50:{2,3,5,6,7}:{(32,1),(34,1),(39,1),(66,1),(72,1)}
       51:{1,3,5,6,7}:{(33,1),(34,1),(42,1),(67,1),(74,1)}
       52:{3,4,6,7}:{(34,1),(66,1),(67,1),(68,1)}
       53:{1,2,3,6,7}:{(35,1),(39,1),(42,1),(69,1),(71,1)}
       54:{1,2,4,7}:{(35,1),(36,1),(40,1),(43,1)}
       55:{1,2,4,5}:{(36,1),(38,1),(41,1),(44,1)}
       56:{1,2,3,5,7}:{(37,1),(38,1),(70,1),(71,1)}
       57:{2,3,4,6,7}:{(39,1),(40,1),(45,1),(66,1),(69,1),(72,1),(73,1),(87,1)}
       58:{2,3,4,5,7}:{(40,1),(41,1),(46,1),(70,1),(72,1),(73,1),(88,1)}
       59:{1,3,4,6,7}:{(42,1),(43,1),(45,1),(67,1),(69,1),(74,1),(75,1),(87,1)}
       60:{1,3,4,5,7}:{(43,1),(44,1),(46,1),(70,1),(74,1),(75,1),(88,1)}
       61:{3,5,7}:{(45,1),(47,1),(76,1)}
       62:{3,4,6}:{(46,1),(48,1),(76,1)}
       63:{1,2,4,5,6}:{(47,1),(48,1),(76,1),(91,1),(92,1),(93,1)}
       64:{1,2,3,5,6,7}:{(50,1),(51,1),(53,1),(77,1),(79,1),(83,1),(94,1)}
       65:{1,2,3,5,7}:{(49,1),(78,1),(79,1),(83,1),(94,1)}
       66:{2,4,6,7}:{(50,1),(52,1),(80,1)}
       67:{1,4,6,7}:{(51,1),(52,1),(81,1)}
       68:{3,4,5,7}:{(52,1),(61,1),(80,1),(81,1),(82,1),(94,1)}
       69:{1,2,4,6,7}:{(53,1),(54,1),(57,1),(59,1),(83,1),(84,1)}
       70:{1,2,4,5,7}:{(54,1),(55,1),(56,1),(58,1),(60,1),(83,1),(84,1)}
       71:{1,2,3,6}:{(56,1),(84,1)}
       72:{2,3,5,7}:{(57,1),(61,1),(80,1),(83,1),(85,1),(94,1)}
       73:{2,3,4,6}:{(58,1),(62,1),(84,1),(85,1),(95,1)}
       74:{1,3,5,7}:{(59,1),(61,1),(81,1),(83,1),(86,1),(94,1)}
       75:{1,3,4,6}:{(60,1),(62,1),(84,1),(86,1),(95,1)}
       76:{3,5,6}:{(61,1),(62,1),(63,1)}
       77:{1,2,4,6,7}:{(64,1),(66,1),(67,1),(87,1),(89,1),(90,1)}
       78:{1,2,4,5,7}:{(65,1),(88,1),(90,1)}
       79:{1,2,3,5,6}:{(65,1),(71,1),(90,1),(93,1),(97,1)}
       80:{2,4,5,7}:{(66,1),(68,1),(72,1),(91,1)}
       81:{1,4,5,7}:{(67,1),(68,1),(74,1),(92,1)}
       82:{3,4,5,6}:{(68,1),(76,1),(91,1),(92,1),(97,1)}
       83:{1,2,5,7}:{(69,1),(72,1),(74,1),(93,1)}
       84:{1,2,4,6}:{(70,1),(71,1),(73,1),(75,1),(93,1)}
       85:{2,3,5,6}:{(72,1),(73,1),(76,1),(91,1),(93,1),(97,1)}
       86:{1,3,5,6}:{(74,1),(75,1),(76,1),(92,1),(93,1),(97,1)}
       87:{3,4,6,7}:{(77,1),(94,1),(95,1)}
       88:{3,4,5,7}:{(78,1),(94,1),(95,1)}
       89:{1,2,4,5,7}:{(77,1),(80,1),(81,1),(83,1),(94,1),(96,1)}
       90:{1,2,4,6}:{(78,1),(79,1),(95,1)}
       91:{2,4,5,6}:{(80,1),(82,1),(85,1)}
       92:{1,4,5,6}:{(81,1),(82,1),(86,1)}
       93:{1,2,5,6}:{(83,1),(84,1),(85,1),(86,1)}
       94:{3,5,7}:{(87,1),(89,1),(97,1)}
       95:{3,4,6}:{(88,1),(90,1),(97,1)}
       96:{1,2,4,5,6}:{(89,1),(90,1),(91,1),(92,1),(93,1),(97,1)}
       97:{3,5,6}:{(94,1),(95,1),(96,1)}

2368 :  0:{1,2,3,4,6,7}:{(3,1),(14,1),(25,1),(50,1),(60,1),(85,1)}
        1:{1,3,4,5,6}:{(6,1),(7,1),(40,1),(66,1),(73,1)}
        2:{2,3,4,5,6}:{(8,1),(9,1),(36,1),(66,1),(71,1)}
        3:{1,2,3,5,7}:{(0,1),(10,1),(11,1),(75,1),(93,1)}
        4:{3,4,5,6,7}:{(12,1),(13,1),(48,1),(83,1)}
        5:{1,2,3,4,6}:{(14,1),(15,1),(50,1),(51,1)}
        6:{1,2,4,5,6}:{(1,1),(18,1),(19,1),(51,1),(79,1),(84,1)}
        7:{1,3,4,5,7}:{(1,1),(16,1),(19,1),(58,1),(83,1),(87,1)}
        8:{1,2,4,5,6}:{(2,1),(22,1),(23,1),(51,1),(81,1),(84,1)}
        9:{2,3,4,5,7}:{(2,1),(20,1),(23,1),(55,1),(83,1),(86,1)}
       10:{1,2,4,5,7}:{(3,1),(24,1),(25,1)}
       11:{1,2,3,5,6}:{(3,1),(25,1),(50,1),(59,1),(84,1)}
       12:{2,4,5,6,7}:{(4,1),(29,1),(91,1)}
       13:{1,4,5,6,7}:{(4,1),(28,1),(92,1)}
       14:{1,2,3,4,7}:{(5,1),(31,1),(70,1)}
       15:{1,2,3,5}:{(5,1),(32,1)}
       16:{1,3,4,6,7}:{(7,1),(28,1),(35,1),(67,1)}
       17:{2,3,4,5}:{(32,1),(36,1)}
       18:{2,3,5,6}:{(6,1),(36,1),(37,1)}
       19:{1,2,4,5,7}:{(6,1),(7,1),(35,1),(37,1),(70,1),(91,1),(93,1)}
       20:{2,3,4,6,7}:{(9,1),(29,1),(39,1),(67,1)}
       21:{1,3,4,5}:{(32,1),(40,1)}
       22:{1,3,5,6}:{(8,1),(40,1),(41,1)}
       23:{1,2,4,5,7}:{(8,1),(9,1),(39,1),(41,1),(70,1),(92,1),(93,1)}
       24:{3,4,5,7}:{(10,1),(42,1),(75,1)}
       25:{1,2,4,6}:{(10,1),(11,1),(42,1)}
       26:{1,2,3,5,6,7}:{(11,1),(44,1),(64,1),(65,1),(69,1),(75,1),(93,1)}
       27:{1,2,3,4,6,7}:{(14,1),(45,1),(50,1),(77,1),(85,1),(95,1)}
       28:{1,3,5,6,7}:{(13,1),(16,1),(46,1),(48,1),(87,1)}
       29:{2,3,5,6,7}:{(12,1),(20,1),(47,1),(48,1),(86,1)}
       30:{1,2,4,5,6,7}:{(12,1),(13,1),(46,1),(47,1),(48,1),(61,1),(80,1),(82,1),(96,1)}
       31:{1,2,3,5,7}:{(14,1),(15,1),(49,1),(50,1)}
       32:{1,2,4,5}:{(15,1),(17,1),(21,1),(51,1)}
       33:{1,2,3,5,6}:{(15,1),(18,1),(22,1),(50,1),(51,1),(52,1),(84,1)}
       34:{2,3,4,5,7}:{(17,1),(24,1),(49,1),(53,1),(55,1),(76,1),(86,1)}
       35:{1,2,4,6,7}:{(16,1),(19,1),(46,1),(54,1),(80,1)}
       36:{2,3,4,6}:{(17,1),(18,1),(51,1),(55,1)}
       37:{2,3,5,7}:{(18,1),(19,1),(54,1),(55,1)}
       38:{1,3,4,5,7}:{(21,1),(24,1),(49,1),(56,1),(58,1),(76,1),(87,1)}
       39:{1,2,4,6,7}:{(20,1),(23,1),(47,1),(57,1),(82,1)}
       40:{1,3,4,6}:{(21,1),(22,1),(51,1),(58,1)}
       41:{1,3,5,7}:{(22,1),(23,1),(57,1),(58,1)}
       42:{3,4,6}:{(24,1),(25,1),(59,1)}
       43:{1,2,4,5,6}:{(25,1),(59,1),(61,1),(79,1),(81,1),(84,1)}
       44:{1,2,4,6,7}:{(25,1),(26,1),(60,1),(61,1),(80,1),(82,1)}
       45:{1,2,3,5,7}:{(27,1),(62,1),(63,1),(93,1),(97,1)}
       46:{1,2,5,6,7}:{(28,1),(35,1),(64,1),(93,1)}
       47:{1,2,5,6,7}:{(29,1),(39,1),(65,1),(93,1)}
       48:{3,5,6,7}:{(30,1),(67,1),(75,1),(97,1)}
       49:{1,2,4,5,7}:{(31,1),(32,1),(34,1),(38,1),(68,1),(70,1),(93,1)}
       50:{1,2,3,6}:{(31,1),(68,1)}
       51:{1,2,4,6}:{(32,1),(33,1),(36,1),(40,1),(70,1)}
       52:{1,2,3,5,7}:{(33,1),(37,1),(41,1),(69,1),(70,1),(93,1)}
       53:{2,3,4,6}:{(34,1),(42,1),(68,1),(71,1),(88,1)}
       54:{2,3,6,7}:{(35,1),(37,1)}
       55:{2,3,4,7}:{(36,1),(37,1),(70,1)}
       56:{1,3,4,6}:{(38,1),(42,1),(68,1),(73,1),(88,1)}
       57:{1,3,6,7}:{(39,1),(41,1)}
       58:{1,3,4,7}:{(40,1),(41,1),(70,1)}
       59:{3,5,6}:{(42,1),(43,1),(75,1)}
       60:{3,4,6,7}:{(42,1),(44,1),(75,1)}
       61:{1,2,4,5,7}:{(43,1),(44,1),(75,1),(91,1),(92,1),(93,1)}
       62:{1,2,4,5,7}:{(45,1),(76,1),(77,1)}
       63:{1,2,3,5,6}:{(45,1),(50,1),(77,1),(84,1),(94,1)}
       64:{2,3,5,6,7}:{(46,1),(48,1),(54,1),(80,1),(86,1)}
       65:{1,3,5,6,7}:{(47,1),(48,1),(57,1),(82,1),(87,1)}
       66:{3,4,5,6}:{(59,1),(79,1),(81,1),(83,1),(94,1)}
       67:{3,4,6,7}:{(48,1),(80,1),(82,1),(83,1)}
       68:{1,2,4,6}:{(49,1),(50,1),(53,1),(56,1),(84,1)}
       69:{1,2,3,6,7}:{(50,1),(52,1),(54,1),(57,1),(85,1)}
       70:{1,2,4,7}:{(51,1),(52,1),(55,1),(58,1)}
       71:{2,3,5,6}:{(53,1),(59,1),(79,1),(84,1),(86,1),(94,1)}
       72:{2,3,4,6,7}:{(53,1),(54,1),(55,1),(60,1),(80,1),(85,1),(86,1),(95,1)}
       73:{1,3,5,6}:{(56,1),(59,1),(81,1),(84,1),(87,1),(94,1)}
       74:{1,3,4,6,7}:{(56,1),(57,1),(58,1),(60,1),(82,1),(85,1),(87,1),(95,1)}
       75:{3,5,7}:{(59,1),(60,1),(61,1)}
       76:{3,4,5,7}:{(62,1),(88,1),(97,1)}
       77:{1,2,4,6}:{(62,1),(63,1),(88,1)}
       78:{1,2,3,5,6,7}:{(63,1),(64,1),(65,1),(69,1),(90,1),(93,1),(97,1)}
       79:{2,4,5,6}:{(66,1),(71,1),(91,1)}
       80:{2,4,6,7}:{(64,1),(67,1),(91,1)}
       81:{1,4,5,6}:{(66,1),(73,1),(92,1)}
       82:{1,4,6,7}:{(65,1),(67,1),(92,1)}
       83:{3,4,5,7}:{(66,1),(67,1),(75,1),(91,1),(92,1),(97,1)}
       84:{1,2,5,6}:{(68,1),(71,1),(73,1),(93,1)}
       85:{1,2,4,6,7}:{(68,1),(69,1),(70,1),(72,1),(74,1),(93,1)}
       86:{2,3,5,7}:{(71,1),(72,1),(75,1),(91,1),(93,1),(97,1)}
       87:{1,3,5,7}:{(73,1),(74,1),(75,1),(92,1),(93,1),(97,1)}
       88:{3,4,6}:{(76,1),(77,1),(94,1)}
       89:{1,2,4,5,6}:{(77,1),(79,1),(81,1),(84,1),(94,1),(96,1)}
       90:{1,2,4,6,7}:{(77,1),(78,1),(80,1),(82,1),(95,1),(96,1)}
       91:{2,4,5,7}:{(79,1),(80,1),(83,1),(86,1)}
       92:{1,4,5,7}:{(81,1),(82,1),(83,1),(87,1)}
       93:{1,2,5,7}:{(84,1),(85,1),(86,1),(87,1)}
       94:{3,5,6}:{(88,1),(89,1),(97,1)}
       95:{3,4,6,7}:{(88,1),(90,1),(97,1)}
       96:{1,2,4,5,7}:{(89,1),(90,1),(91,1),(92,1),(93,1),(97,1)}
       97:{3,5,7}:{(94,1),(95,1),(96,1)}

2369 :  0:{1,2,3,4,5,7}:{(1,1),(4,1),(6,1),(14,1)}
        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),(14,1),(18,1),(30,1)}
        4:{1,2,3,4,5}:{(8,1)}
        5:{1,2,4,5,6}:{(2,1),(9,1),(10,1)}
        6:{1,2,3,5,7}:{(2,1),(3,1),(10,1)}
        7:{1,2,3,4,5,7}:{(4,1),(12,1),(14,1),(28,1)}
        8:{1,2,3,4,6}:{(4,1),(13,1),(14,1)}
        9:{3,4,5,6}:{(5,1),(17,1)}
       10:{1,2,4,5,7}:{(5,1),(6,1),(17,1),(18,1)}
       11:{1,2,3,5,6,7}:{(6,1),(18,1),(30,1),(33,1),(45,1)}
       12:{1,2,3,4,6}:{(7,1),(19,1)}
       13:{1,2,3,5,6}:{(8,1),(21,1),(22,1)}
       14:{1,2,3,4,7}:{(8,1),(22,1)}
       15:{2,3,4,5,6}:{(9,1),(21,1),(23,1),(34,1)}
       16:{1,3,4,5,6}:{(9,1),(21,1),(24,1),(34,1)}
       17:{3,4,5,7}:{(9,1),(10,1),(25,1)}
       18:{1,2,4,6,7}:{(10,1),(11,1),(25,1)}
       19:{1,2,3,5,6}:{(12,1),(27,1),(28,1)}
       20:{1,2,3,4,6,7}:{(12,1),(14,1),(28,1),(30,1),(42,1)}
       21:{1,2,4,5,6}:{(13,1),(15,1),(16,1),(29,1)}
       22:{1,2,3,5,7}:{(13,1),(14,1),(29,1),(30,1)}
       23:{2,3,4,5,7}:{(15,1),(17,1),(29,1),(31,1),(41,1)}
       24:{1,3,4,5,7}:{(16,1),(17,1),(29,1),(32,1),(41,1)}
       25:{3,4,6,7}:{(17,1),(18,1),(33,1)}
       26:{1,2,4,5,6,7}:{(18,1),(33,1),(43,1),(44,1),(45,1)}
       27:{1,2,4,5,6}:{(19,1),(34,1),(35,1)}
       28:{1,2,3,5,7}:{(19,1),(20,1),(35,1)}
       29:{1,2,4,5,7}:{(21,1),(22,1),(23,1),(24,1),(38,1)}
       30:{1,2,3,6,7}:{(22,1),(38,1)}
       31:{2,3,4,6,7}:{(23,1),(25,1),(38,1),(39,1),(46,1)}
       32:{1,3,4,6,7}:{(24,1),(25,1),(38,1),(40,1),(46,1)}
       33:{3,5,6,7}:{(25,1),(26,1)}
       34:{3,4,5,6}:{(27,1),(41,1)}
       35:{1,2,4,5,7}:{(27,1),(28,1),(41,1),(42,1)}
       36:{1,2,3,5,6,7}:{(28,1),(30,1),(42,1),(45,1),(48,1)}
       37:{3,4,5,6,7}:{(33,1),(43,1),(44,1),(48,1)}
       38:{1,2,4,6,7}:{(29,1),(30,1),(31,1),(32,1),(45,1)}
       39:{2,3,5,6,7}:{(31,1),(33,1),(43,1),(45,1),(48,1)}
       40:{1,3,5,6,7}:{(32,1),(33,1),(44,1),(45,1),(48,1)}
       41:{3,4,5,7}:{(34,1),(35,1),(46,1)}
       42:{1,2,4,6,7}:{(35,1),(36,1),(46,1)}
       43:{2,4,5,6,7}:{(37,1),(39,1)}
       44:{1,4,5,6,7}:{(37,1),(40,1)}
       45:{1,2,5,6,7}:{(38,1),(39,1),(40,1)}
       46:{3,4,6,7}:{(41,1),(42,1),(48,1)}
       47:{1,2,4,5,6,7}:{(42,1),(43,1),(44,1),(45,1),(48,1)}
       48:{3,5,6,7}:{(46,1),(47,1)}

2370 :  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:{3,4,5,6}:{(4,1),(9,1)}
        7:{1,2,4,5,7}:{(4,1),(5,1),(9,1),(10,1)}
        8:{1,2,3,6,7}:{(5,1),(10,1)}
        9:{3,4,5,7}:{(6,1),(7,1),(11,1)}
       10:{1,2,4,6,7}:{(7,1),(8,1),(11,1),(12,1)}
       11:{3,4,6,7}:{(9,1),(10,1),(13,1)}
       12:{1,2,5,6,7}:{(10,1),(13,1)}
       13:{3,5,6,7}:{(11,1),(12,1),(14,1)}
       14:{4,5,6,7}:{(13,1)}

2371 :  0:{1,2,3,4,5}:{(4,1)}
        1:{1,3,4,5,6}:{(5,1),(6,1),(26,1)}
        2:{2,3,4,5,6}:{(5,1),(7,1),(26,1)}
        3:{1,2,3,4,5,7}:{(0,1),(8,1),(10,1),(21,1),(32,1),(48,1)}
        4:{1,2,3,4,6}:{(0,1),(9,1),(10,1)}
        5:{1,2,4,5,6}:{(1,1),(2,1),(9,1),(11,1)}
        6:{1,3,4,5,7}:{(1,1),(11,1),(12,1),(35,1)}
        7:{2,3,4,5,7}:{(2,1),(11,1),(13,1),(35,1)}
        8:{1,2,3,4,6}:{(3,1),(14,1)}
        9:{1,2,3,5,6}:{(4,1),(5,1),(16,1)}
       10:{1,2,3,4,7}:{(4,1),(16,1)}
       11:{1,2,4,5,7}:{(5,1),(6,1),(7,1),(16,1),(17,1)}
       12:{1,3,4,6,7}:{(6,1),(17,1),(18,1),(44,1)}
       13:{2,3,4,6,7}:{(7,1),(17,1),(19,1),(44,1)}
       14:{1,2,3,5,6}:{(8,1),(20,1),(21,1)}
       15:{1,2,3,4,6,7}:{(8,1),(10,1),(21,1),(22,1),(36,1),(48,1),(55,1)}
       16:{1,2,3,5,7}:{(9,1),(10,1),(11,1),(22,1)}
       17:{1,2,4,6,7}:{(11,1),(12,1),(13,1),(22,1),(23,1)}
       18:{1,3,5,6,7}:{(12,1),(23,1),(24,1),(37,1)}
       19:{2,3,5,6,7}:{(13,1),(23,1),(25,1),(37,1)}
       20:{1,2,4,5,6}:{(14,1),(26,1),(27,1)}
       21:{1,2,3,5,7}:{(14,1),(15,1),(27,1)}
       22:{1,2,3,6,7}:{(16,1),(17,1)}
       23:{1,2,5,6,7}:{(17,1),(18,1),(19,1)}
       24:{1,4,5,6,7}:{(18,1),(30,1)}
       25:{2,4,5,6,7}:{(19,1),(31,1)}
       26:{3,4,5,6}:{(20,1),(35,1)}
       27:{1,2,4,5,7}:{(20,1),(21,1),(35,1),(36,1)}
       28:{1,2,3,5,6,7}:{(21,1),(22,1),(23,1),(36,1),(37,1),(52,1),(55,1)}
       29:{1,2,4,5,6,7}:{(23,1),(24,1),(25,1),(36,1),(37,1),(38,1),(39,1),(52,1)}
       30:{3,4,5,6,7}:{(24,1),(37,1),(38,1)}
       31:{3,4,5,6,7}:{(25,1),(37,1),(39,1)}
       32:{1,2,3,4,5}:{(40,1)}
       33:{1,3,4,5,6}:{(26,1),(41,1),(42,1)}
       34:{2,3,4,5,6}:{(26,1),(41,1),(43,1)}
       35:{3,4,5,7}:{(26,1),(27,1),(44,1)}
       36:{1,2,4,6,7}:{(27,1),(28,1),(44,1)}
       37:{3,5,6,7}:{(29,1),(44,1)}
       38:{2,4,5,6,7}:{(30,1),(46,1)}
       39:{1,4,5,6,7}:{(31,1),(45,1)}
       40:{1,2,3,4,6}:{(32,1),(47,1),(48,1)}
       41:{1,2,4,5,6}:{(33,1),(34,1),(47,1),(49,1)}
       42:{1,3,4,5,7}:{(33,1),(35,1),(49,1),(50,1)}
       43:{2,3,4,5,7}:{(34,1),(35,1),(49,1),(51,1)}
       44:{3,4,6,7}:{(35,1),(36,1),(37,1)}
       45:{1,3,5,6,7}:{(37,1),(39,1),(50,1),(52,1)}
       46:{2,3,5,6,7}:{(37,1),(38,1),(51,1),(52,1)}
       47:{1,2,3,5,6}:{(40,1),(41,1),(53,1)}
       48:{1,2,3,4,7}:{(40,1),(53,1)}
       49:{1,2,4,5,7}:{(41,1),(42,1),(43,1),(53,1),(54,1)}
       50:{1,3,4,6,7}:{(42,1),(44,1),(45,1),(54,1)}
       51:{2,3,4,6,7}:{(43,1),(44,1),(46,1),(54,1)}
       52:{1,2,5,6,7}:{(45,1),(46,1),(54,1)}
       53:{1,2,3,5,7}:{(47,1),(48,1),(49,1),(55,1)}
       54:{1,2,4,6,7}:{(49,1),(50,1),(51,1),(52,1),(55,1)}
       55:{1,2,3,6,7}:{(53,1),(54,1)}

2372 :  0:{2,3,4,5,6,7}:{(2,1),(14,1),(19,1)}
        1:{1,3,4,5,6,7}:{(3,1),(16,1),(17,1)}
        2:{1,2,4,5,6,7}:{(0,1),(4,1),(10,1),(24,1)}
        3:{1,2,4,5,6,7}:{(1,1),(5,1),(12,1),(22,1)}
        4:{1,3,5,6,7}:{(2,1),(7,1),(29,1)}
        5:{2,3,5,6,7}:{(3,1),(9,1),(27,1)}
        6:{1,2,3,5,6,7}:{(4,1),(10,1),(21,1),(31,1)}
        7:{1,3,4,6,7}:{(4,1),(10,1),(11,1),(33,1)}
        8:{1,2,3,5,6,7}:{(5,1),(12,1),(23,1),(31,1)}
        9:{2,3,4,6,7}:{(5,1),(12,1),(13,1),(32,1)}
       10:{1,2,4,6,7}:{(6,1),(7,1),(14,1),(15,1),(34,1)}
       11:{1,3,4,5,7}:{(7,1),(15,1),(16,1)}
       12:{1,2,4,6,7}:{(8,1),(9,1),(17,1),(18,1),(34,1)}
       13:{2,3,4,5,7}:{(9,1),(18,1),(19,1)}
       14:{2,3,4,6,7}:{(10,1),(21,1),(32,1)}
       15:{1,2,4,5,7}:{(10,1),(11,1),(21,1),(22,1)}
       16:{1,3,4,5,6}:{(11,1),(22,1),(33,1)}
       17:{1,3,4,6,7}:{(12,1),(23,1),(33,1)}
       18:{1,2,4,5,7}:{(12,1),(13,1),(23,1),(24,1)}
       19:{2,3,4,5,6}:{(13,1),(24,1),(32,1)}
       20:{1,2,3,4,6,7}:{(14,1),(17,1),(25,1),(34,1)}
       21:{2,3,5,7}:{(14,1),(15,1),(27,1)}
       22:{1,2,4,5,6}:{(15,1),(16,1),(27,1),(34,1)}
       23:{1,3,5,7}:{(17,1),(18,1),(29,1)}
       24:{1,2,4,5,6}:{(18,1),(19,1),(29,1),(34,1)}
       25:{1,2,3,5,7}:{(20,1),(21,1),(23,1),(30,1),(31,1)}
       26:{2,3,4,5,7}:{(21,1),(30,1),(32,1)}
       27:{2,3,5,6}:{(21,1),(22,1),(32,1)}
       28:{1,3,4,5,7}:{(23,1),(30,1),(33,1)}
       29:{1,3,5,6}:{(23,1),(24,1),(33,1)}
       30:{1,2,4,5,7}:{(25,1),(26,1),(28,1),(34,1)}
       31:{1,2,3,5,6}:{(25,1),(27,1),(29,1),(34,1)}
       32:{2,3,4,6}:{(26,1),(27,1),(34,1)}
       33:{1,3,4,6}:{(28,1),(29,1),(34,1)}
       34:{1,2,4,6}:{(30,1),(31,1),(32,1),(33,1)}

2373 :  0:{1,2,3,4,5}:{(2,1)}
        1:{1,2,3,4,5,7}:{(0,1),(3,1),(5,1),(14,1),(16,1),(29,1)}
        2:{1,2,3,4,6}:{(0,1),(4,1),(5,1)}
        3:{1,2,3,4,6}:{(1,1),(8,1)}
        4:{1,2,3,5,6}:{(2,1),(10,1),(11,1)}
        5:{1,2,3,4,7}:{(2,1),(11,1)}
        6:{2,3,4,5,6}:{(10,1),(12,1),(22,1)}
        7:{1,3,4,5,6}:{(10,1),(13,1),(22,1)}
        8:{1,2,3,5,6}:{(3,1),(15,1),(16,1)}
        9:{1,2,3,4,6,7}:{(3,1),(5,1),(16,1),(18,1),(29,1),(33,1),(46,1)}
       10:{1,2,4,5,6}:{(4,1),(6,1),(7,1),(17,1)}
       11:{1,2,3,5,7}:{(4,1),(5,1),(17,1),(18,1)}
       12:{2,3,4,5,7}:{(6,1),(17,1),(19,1),(32,1)}
       13:{1,3,4,5,7}:{(7,1),(17,1),(20,1),(32,1)}
       14:{1,2,3,4,5}:{(21,1)}
       15:{1,2,4,5,6}:{(8,1),(22,1),(23,1)}
       16:{1,2,3,5,7}:{(8,1),(9,1),(23,1)}
       17:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(13,1),(25,1)}
       18:{1,2,3,6,7}:{(11,1),(25,1)}
       19:{2,3,4,6,7}:{(12,1),(25,1),(26,1),(41,1)}
       20:{1,3,4,6,7}:{(13,1),(25,1),(27,1),(41,1)}
       21:{1,2,3,4,6}:{(14,1),(28,1),(29,1)}
       22:{3,4,5,6}:{(15,1),(32,1)}
       23:{1,2,4,5,7}:{(15,1),(16,1),(32,1),(33,1)}
       24:{1,2,3,5,6,7}:{(16,1),(18,1),(33,1),(34,1),(46,1),(49,1),(55,1)}
       25:{1,2,4,6,7}:{(17,1),(18,1),(19,1),(20,1),(34,1)}
       26:{2,3,5,6,7}:{(19,1),(34,1),(35,1),(49,1)}
       27:{1,3,5,6,7}:{(20,1),(34,1),(36,1),(49,1)}
       28:{1,2,3,5,6}:{(21,1),(37,1),(38,1)}
       29:{1,2,3,4,7}:{(21,1),(38,1)}
       30:{2,3,4,5,6}:{(22,1),(37,1),(39,1)}
       31:{1,3,4,5,6}:{(22,1),(37,1),(40,1)}
       32:{3,4,5,7}:{(22,1),(23,1),(41,1)}
       33:{1,2,4,6,7}:{(23,1),(24,1),(41,1)}
       34:{1,2,5,6,7}:{(25,1),(26,1),(27,1)}
       35:{2,4,5,6,7}:{(26,1),(43,1)}
       36:{1,4,5,6,7}:{(27,1),(44,1)}
       37:{1,2,4,5,6}:{(28,1),(30,1),(31,1),(45,1)}
       38:{1,2,3,5,7}:{(28,1),(29,1),(45,1),(46,1)}
       39:{2,3,4,5,7}:{(30,1),(32,1),(45,1),(47,1)}
       40:{1,3,4,5,7}:{(31,1),(32,1),(45,1),(48,1)}
       41:{3,4,6,7}:{(32,1),(33,1),(49,1)}
       42:{1,2,4,5,6,7}:{(33,1),(34,1),(35,1),(36,1),(49,1),(50,1),(51,1),(55,1)}
       43:{3,4,5,6,7}:{(35,1),(49,1),(50,1)}
       44:{3,4,5,6,7}:{(36,1),(49,1),(51,1)}
       45:{1,2,4,5,7}:{(37,1),(38,1),(39,1),(40,1),(52,1)}
       46:{1,2,3,6,7}:{(38,1),(52,1)}
       47:{2,3,4,6,7}:{(39,1),(41,1),(52,1),(53,1)}
       48:{1,3,4,6,7}:{(40,1),(41,1),(52,1),(54,1)}
       49:{3,5,6,7}:{(41,1),(42,1)}
       50:{1,4,5,6,7}:{(43,1),(54,1)}
       51:{2,4,5,6,7}:{(44,1),(53,1)}
       52:{1,2,4,6,7}:{(45,1),(46,1),(47,1),(48,1),(55,1)}
       53:{2,3,5,6,7}:{(47,1),(49,1),(51,1),(55,1)}
       54:{1,3,5,6,7}:{(48,1),(49,1),(50,1),(55,1)}
       55:{1,2,5,6,7}:{(52,1),(53,1),(54,1)}

2374 :  0:{1,3,4,5,6,7}:{(2,1),(14,1),(19,1)}
        1:{2,3,4,5,6,7}:{(3,1),(16,1),(17,1)}
        2:{1,2,4,5,6,7}:{(0,1),(4,1),(10,1),(24,1)}
        3:{1,2,4,5,6,7}:{(1,1),(5,1),(12,1),(22,1)}
        4:{2,3,5,6,7}:{(2,1),(7,1),(29,1)}
        5:{1,3,5,6,7}:{(3,1),(9,1),(27,1)}
        6:{1,2,3,5,6,7}:{(4,1),(10,1),(21,1),(31,1)}
        7:{2,3,4,6,7}:{(4,1),(10,1),(11,1),(33,1)}
        8:{1,2,3,5,6,7}:{(5,1),(12,1),(23,1),(31,1)}
        9:{1,3,4,6,7}:{(5,1),(12,1),(13,1),(32,1)}
       10:{1,2,4,6,7}:{(6,1),(7,1),(14,1),(15,1),(34,1)}
       11:{2,3,4,5,7}:{(7,1),(15,1),(16,1)}
       12:{1,2,4,6,7}:{(8,1),(9,1),(17,1),(18,1),(34,1)}
       13:{1,3,4,5,7}:{(9,1),(18,1),(19,1)}
       14:{1,3,4,6,7}:{(10,1),(21,1),(32,1)}
       15:{1,2,4,5,7}:{(10,1),(11,1),(21,1),(22,1)}
       16:{2,3,4,5,6}:{(11,1),(22,1),(33,1)}
       17:{2,3,4,6,7}:{(12,1),(23,1),(33,1)}
       18:{1,2,4,5,7}:{(12,1),(13,1),(23,1),(24,1)}
       19:{1,3,4,5,6}:{(13,1),(24,1),(32,1)}
       20:{1,2,3,4,6,7}:{(14,1),(17,1),(25,1),(34,1)}
       21:{1,3,5,7}:{(14,1),(15,1),(27,1)}
       22:{1,2,4,5,6}:{(15,1),(16,1),(27,1),(34,1)}
       23:{2,3,5,7}:{(17,1),(18,1),(29,1)}
       24:{1,2,4,5,6}:{(18,1),(19,1),(29,1),(34,1)}
       25:{1,2,3,5,7}:{(20,1),(21,1),(23,1),(30,1),(31,1)}
       26:{1,3,4,5,7}:{(21,1),(30,1),(32,1)}
       27:{1,3,5,6}:{(21,1),(22,1),(32,1)}
       28:{2,3,4,5,7}:{(23,1),(30,1),(33,1)}
       29:{2,3,5,6}:{(23,1),(24,1),(33,1)}
       30:{1,2,4,5,7}:{(25,1),(26,1),(28,1),(34,1)}
       31:{1,2,3,5,6}:{(25,1),(27,1),(29,1),(34,1)}
       32:{1,3,4,6}:{(26,1),(27,1),(34,1)}
       33:{2,3,4,6}:{(28,1),(29,1),(34,1)}
       34:{1,2,4,6}:{(30,1),(31,1),(32,1),(33,1)}

2375 :  0:{1,3,4,5,6,7}:{(1,1),(12,1),(22,1)}
        1:{1,2,4,5,6,7}:{(0,1),(3,1),(8,1),(27,1)}
        2:{2,3,4,5,6,7}:{(4,1),(14,1),(20,1)}
        3:{2,3,5,6,7}:{(1,1),(6,1),(32,1)}
        4:{1,2,4,5,6,7}:{(2,1),(7,1),(15,1),(19,1)}
        5:{1,2,3,5,6,7}:{(3,1),(8,1),(18,1),(29,1)}
        6:{2,3,4,6,7}:{(3,1),(8,1),(9,1),(34,1)}
        7:{1,3,5,6,7}:{(4,1),(11,1),(25,1)}
        8:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(13,1),(33,1)}
        9:{2,3,4,5,7}:{(6,1),(13,1),(14,1)}
       10:{1,2,3,5,6,7}:{(7,1),(15,1),(26,1),(29,1)}
       11:{1,3,4,6,7}:{(7,1),(15,1),(16,1),(30,1)}
       12:{1,3,4,6,7}:{(8,1),(18,1),(30,1)}
       13:{1,2,4,5,7}:{(8,1),(9,1),(18,1),(19,1)}
       14:{2,3,4,5,6}:{(9,1),(19,1),(34,1)}
       15:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(21,1),(33,1)}
       16:{1,3,4,5,7}:{(11,1),(21,1),(22,1)}
       17:{1,2,3,4,6,7}:{(12,1),(20,1),(23,1),(33,1)}
       18:{1,3,5,7}:{(12,1),(13,1),(25,1)}
       19:{1,2,4,5,6}:{(13,1),(14,1),(25,1),(33,1)}
       20:{2,3,4,6,7}:{(15,1),(26,1),(34,1)}
       21:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(27,1)}
       22:{1,3,4,5,6}:{(16,1),(27,1),(30,1)}
       23:{1,2,3,5,7}:{(17,1),(18,1),(26,1),(28,1),(29,1)}
       24:{1,3,4,5,7}:{(18,1),(28,1),(30,1)}
       25:{1,3,5,6}:{(18,1),(19,1),(30,1)}
       26:{2,3,5,7}:{(20,1),(21,1),(32,1)}
       27:{1,2,4,5,6}:{(21,1),(22,1),(32,1),(33,1)}
       28:{1,2,4,5,7}:{(23,1),(24,1),(31,1),(33,1)}
       29:{1,2,3,5,6}:{(23,1),(25,1),(32,1),(33,1)}
       30:{1,3,4,6}:{(24,1),(25,1),(33,1)}
       31:{2,3,4,5,7}:{(26,1),(28,1),(34,1)}
       32:{2,3,5,6}:{(26,1),(27,1),(34,1)}
       33:{1,2,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{2,3,4,6}:{(31,1),(32,1),(33,1)}

2376 :  0:{1,2,3,4,5}:{(2,1)}
        1:{1,2,3,4,5,7}:{(0,1),(3,1),(4,1),(6,1),(15,1),(18,1)}
        2:{1,2,3,4,6}:{(0,1),(5,1),(6,1)}
        3:{1,2,3,4,5}:{(8,1)}
        4:{1,2,3,4,6}:{(1,1),(9,1)}
        5:{1,2,3,5,6}:{(2,1),(11,1),(12,1)}
        6:{1,2,3,4,7}:{(2,1),(12,1)}
        7:{2,3,4,5,6}:{(11,1),(13,1),(26,1)}
        8:{1,2,3,4,6}:{(3,1),(14,1),(15,1)}
        9:{1,2,3,5,6}:{(4,1),(17,1),(18,1)}
       10:{1,2,3,4,6,7}:{(4,1),(6,1),(15,1),(18,1),(21,1),(35,1),(38,1)}
       11:{1,2,4,5,6}:{(5,1),(7,1),(19,1),(20,1)}
       12:{1,2,3,5,7}:{(5,1),(6,1),(20,1),(21,1)}
       13:{2,3,4,5,7}:{(7,1),(20,1),(22,1),(37,1)}
       14:{1,2,3,5,6}:{(8,1),(23,1),(24,1)}
       15:{1,2,3,4,7}:{(8,1),(24,1)}
       16:{1,3,4,5,6}:{(23,1),(25,1),(26,1)}
       17:{1,2,4,5,6}:{(9,1),(26,1),(27,1)}
       18:{1,2,3,5,7}:{(9,1),(10,1),(27,1)}
       19:{1,3,4,5,6}:{(11,1),(26,1),(30,1)}
       20:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(30,1),(31,1)}
       21:{1,2,3,6,7}:{(12,1),(31,1)}
       22:{2,3,4,6,7}:{(13,1),(31,1),(32,1),(46,1)}
       23:{1,2,4,5,6}:{(14,1),(16,1),(33,1),(34,1)}
       24:{1,2,3,5,7}:{(14,1),(15,1),(34,1),(35,1)}
       25:{1,3,4,5,7}:{(16,1),(34,1),(36,1),(37,1)}
       26:{3,4,5,6}:{(17,1),(37,1)}
       27:{1,2,4,5,7}:{(17,1),(18,1),(37,1),(38,1)}
       28:{1,2,3,5,6,7}:{(18,1),(21,1),(35,1),(38,1),(42,1),(50,1),(51,1)}
       29:{3,4,5,6,7}:{(39,1),(40,1),(51,1)}
       30:{1,3,4,5,7}:{(19,1),(20,1),(37,1),(41,1)}
       31:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(41,1),(42,1)}
       32:{2,3,5,6,7}:{(22,1),(39,1),(42,1),(51,1)}
       33:{2,3,4,5,6}:{(23,1),(26,1),(43,1)}
       34:{1,2,4,5,7}:{(23,1),(24,1),(25,1),(43,1),(44,1)}
       35:{1,2,3,6,7}:{(24,1),(44,1)}
       36:{1,3,4,6,7}:{(25,1),(44,1),(45,1),(46,1)}
       37:{3,4,5,7}:{(26,1),(27,1),(46,1)}
       38:{1,2,4,6,7}:{(27,1),(28,1),(46,1)}
       39:{2,4,5,6,7}:{(29,1),(32,1)}
       40:{1,4,5,6,7}:{(29,1),(45,1)}
       41:{1,3,4,6,7}:{(30,1),(31,1),(46,1),(48,1)}
       42:{1,2,5,6,7}:{(31,1),(32,1),(48,1)}
       43:{2,3,4,5,7}:{(33,1),(34,1),(37,1),(49,1)}
       44:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(49,1),(50,1)}
       45:{1,3,5,6,7}:{(36,1),(40,1),(50,1),(51,1)}
       46:{3,4,6,7}:{(37,1),(38,1),(51,1)}
       47:{1,2,4,5,6,7}:{(38,1),(39,1),(40,1),(42,1),(50,1),(51,1),(52,1),(55,1)}
       48:{1,3,5,6,7}:{(41,1),(42,1),(51,1),(52,1)}
       49:{2,3,4,6,7}:{(43,1),(44,1),(46,1),(53,1)}
       50:{1,2,5,6,7}:{(44,1),(45,1),(53,1)}
       51:{3,5,6,7}:{(46,1),(47,1)}
       52:{1,4,5,6,7}:{(48,1),(54,1)}
       53:{2,3,5,6,7}:{(49,1),(50,1),(51,1),(55,1)}
       54:{3,4,5,6,7}:{(51,1),(52,1),(55,1)}
       55:{2,4,5,6,7}:{(53,1),(54,1)}

2377 :  0:{2,3,4,5,6,7}:{(1,1),(12,1),(22,1)}
        1:{1,2,4,5,6,7}:{(0,1),(3,1),(8,1),(27,1)}
        2:{1,3,4,5,6,7}:{(4,1),(14,1),(20,1)}
        3:{1,3,5,6,7}:{(1,1),(6,1),(32,1)}
        4:{1,2,4,5,6,7}:{(2,1),(7,1),(15,1),(19,1)}
        5:{1,2,3,5,6,7}:{(3,1),(8,1),(18,1),(29,1)}
        6:{1,3,4,6,7}:{(3,1),(8,1),(9,1),(34,1)}
        7:{2,3,5,6,7}:{(4,1),(11,1),(25,1)}
        8:{1,2,4,6,7}:{(5,1),(6,1),(12,1),(13,1),(33,1)}
        9:{1,3,4,5,7}:{(6,1),(13,1),(14,1)}
       10:{1,2,3,5,6,7}:{(7,1),(15,1),(26,1),(29,1)}
       11:{2,3,4,6,7}:{(7,1),(15,1),(16,1),(30,1)}
       12:{2,3,4,6,7}:{(8,1),(18,1),(30,1)}
       13:{1,2,4,5,7}:{(8,1),(9,1),(18,1),(19,1)}
       14:{1,3,4,5,6}:{(9,1),(19,1),(34,1)}
       15:{1,2,4,6,7}:{(10,1),(11,1),(20,1),(21,1),(33,1)}
       16:{2,3,4,5,7}:{(11,1),(21,1),(22,1)}
       17:{1,2,3,4,6,7}:{(12,1),(20,1),(23,1),(33,1)}
       18:{2,3,5,7}:{(12,1),(13,1),(25,1)}
       19:{1,2,4,5,6}:{(13,1),(14,1),(25,1),(33,1)}
       20:{1,3,4,6,7}:{(15,1),(26,1),(34,1)}
       21:{1,2,4,5,7}:{(15,1),(16,1),(26,1),(27,1)}
       22:{2,3,4,5,6}:{(16,1),(27,1),(30,1)}
       23:{1,2,3,5,7}:{(17,1),(18,1),(26,1),(28,1),(29,1)}
       24:{2,3,4,5,7}:{(18,1),(28,1),(30,1)}
       25:{2,3,5,6}:{(18,1),(19,1),(30,1)}
       26:{1,3,5,7}:{(20,1),(21,1),(32,1)}
       27:{1,2,4,5,6}:{(21,1),(22,1),(32,1),(33,1)}
       28:{1,2,4,5,7}:{(23,1),(24,1),(31,1),(33,1)}
       29:{1,2,3,5,6}:{(23,1),(25,1),(32,1),(33,1)}
       30:{2,3,4,6}:{(24,1),(25,1),(33,1)}
       31:{1,3,4,5,7}:{(26,1),(28,1),(34,1)}
       32:{1,3,5,6}:{(26,1),(27,1),(34,1)}
       33:{1,2,4,6}:{(28,1),(29,1),(30,1),(34,1)}
       34:{1,3,4,6}:{(31,1),(32,1),(33,1)}

2378 :  0:{1,2,3,4,5}:{(2,1)}
        1:{1,2,3,4,5,7}:{(0,1),(3,1),(4,1),(6,1),(15,1),(18,1)}
        2:{1,2,3,4,6}:{(0,1),(5,1),(6,1)}
        3:{1,2,3,4,5}:{(8,1)}
        4:{1,2,3,4,6}:{(1,1),(9,1)}
        5:{1,2,3,5,6}:{(2,1),(11,1),(12,1)}
        6:{1,2,3,4,7}:{(2,1),(12,1)}
        7:{1,3,4,5,6}:{(11,1),(13,1),(26,1)}
        8:{1,2,3,4,6}:{(3,1),(14,1),(15,1)}
        9:{1,2,3,5,6}:{(4,1),(17,1),(18,1)}
       10:{1,2,3,4,6,7}:{(4,1),(6,1),(15,1),(18,1),(21,1),(35,1),(38,1)}
       11:{1,2,4,5,6}:{(5,1),(7,1),(19,1),(20,1)}
       12:{1,2,3,5,7}:{(5,1),(6,1),(20,1),(21,1)}
       13:{1,3,4,5,7}:{(7,1),(20,1),(22,1),(37,1)}
       14:{1,2,3,5,6}:{(8,1),(23,1),(24,1)}
       15:{1,2,3,4,7}:{(8,1),(24,1)}
       16:{2,3,4,5,6}:{(23,1),(25,1),(26,1)}
       17:{1,2,4,5,6}:{(9,1),(26,1),(27,1)}
       18:{1,2,3,5,7}:{(9,1),(10,1),(27,1)}
       19:{2,3,4,5,6}:{(11,1),(26,1),(30,1)}
       20:{1,2,4,5,7}:{(11,1),(12,1),(13,1),(30,1),(31,1)}
       21:{1,2,3,6,7}:{(12,1),(31,1)}
       22:{1,3,4,6,7}:{(13,1),(31,1),(32,1),(46,1)}
       23:{1,2,4,5,6}:{(14,1),(16,1),(33,1),(34,1)}
       24:{1,2,3,5,7}:{(14,1),(15,1),(34,1),(35,1)}
       25:{2,3,4,5,7}:{(16,1),(34,1),(36,1),(37,1)}
       26:{3,4,5,6}:{(17,1),(37,1)}
       27:{1,2,4,5,7}:{(17,1),(18,1),(37,1),(38,1)}
       28:{1,2,3,5,6,7}:{(18,1),(21,1),(35,1),(38,1),(42,1),(50,1),(51,1)}
       29:{3,4,5,6,7}:{(39,1),(40,1),(51,1)}
       30:{2,3,4,5,7}:{(19,1),(20,1),(37,1),(41,1)}
       31:{1,2,4,6,7}:{(20,1),(21,1),(22,1),(41,1),(42,1)}
       32:{1,3,5,6,7}:{(22,1),(40,1),(42,1),(51,1)}
       33:{1,3,4,5,6}:{(23,1),(26,1),(43,1)}
       34:{1,2,4,5,7}:{(23,1),(24,1),(25,1),(43,1),(44,1)}
       35:{1,2,3,6,7}:{(24,1),(44,1)}
       36:{2,3,4,6,7}:{(25,1),(44,1),(45,1),(46,1)}
       37:{3,4,5,7}:{(26,1),(27,1),(46,1)}
       38:{1,2,4,6,7}:{(27,1),(28,1),(46,1)}
       39:{2,4,5,6,7}:{(29,1),(45,1)}
       40:{1,4,5,6,7}:{(29,1),(32,1)}
       41:{2,3,4,6,7}:{(30,1),(31,1),(46,1),(48,1)}
       42:{1,2,5,6,7}:{(31,1),(32,1),(48,1)}
       43:{1,3,4,5,7}:{(33,1),(34,1),(37,1),(49,1)}
       44:{1,2,4,6,7}:{(34,1),(35,1),(36,1),(49,1),(50,1)}
       45:{2,3,5,6,7}:{(36,1),(39,1),(50,1),(51,1)}
       46:{3,4,6,7}:{(37,1),(38,1),(51,1)}
       47:{1,2,4,5,6,7}:{(38,1),(39,1),(40,1),(42,1),(50,1),(51,1),(52,1),(55,1)}
       48:{2,3,5,6,7}:{(41,1),(42,1),(51,1),(52,1)}
       49:{1,3,4,6,7}:{(43,1),(44,1),(46,1),(53,1)}
       50:{1,2,5,6,7}:{(44,1),(45,1),(53,1)}
       51:{3,5,6,7}:{(46,1),(47,1)}
       52:{2,4,5,6,7}:{(48,1),(54,1)}
       53:{1,3,5,6,7}:{(49,1),(50,1),(51,1),(55,1)}
       54:{3,4,5,6,7}:{(51,1),(52,1),(55,1)}
       55:{1,4,5,6,7}:{(53,1),(54,1)}

2379 :  0:{1,2,3,4,5,7}:{(1,1),(2,1),(3,1),(9,1),(12,1),(15,1)}
        1:{1,2,3,4,5}:{(4,1)}
        2:{1,2,3,4,5}:{(5,1)}
        3:{1,2,3,4,6}:{(0,1),(6,1)}
        4:{1,2,3,4,6}:{(1,1),(8,1),(9,1)}
        5:{1,2,3,4,6}:{(2,1),(11,1),(12,1)}
        6:{1,2,3,5,6}:{(3,1),(14,1),(15,1)}
        7:{1,2,3,4,6,7}:{(3,1),(9,1),(12,1),(15,1),(28,1),(32,1),(35,1)}
        8:{1,2,3,5,6}:{(4,1),(16,1),(17,1)}
        9:{1,2,3,4,7}:{(4,1),(17,1)}
       10:{2,3,4,5,6}:{(16,1),(18,1),(22,1)}
       11:{1,2,3,5,6}:{(5,1),(19,1),(20,1)}
       12:{1,2,3,4,7}:{(5,1),(20,1)}
       13:{1,3,4,5,6}:{(19,1),(21,1),(22,1)}
       14:{1,2,4,5,6}:{(6,1),(22,1),(23,1)}
       15:{1,2,3,5,7}:{(6,1),(7,1),(23,1)}
       16:{1,2,4,5,6}:{(8,1),(10,1),(26,1),(27,1)}
       17:{1,2,3,5,7}:{(8,1),(9,1),(27,1),(28,1)}
       18:{2,3,4,5,7}:{(10,1),(27,1),(29,1),(34,1)}
       19:{1,2,4,5,6}:{(11,1),(13,1),(30,1),(31,1)}
       20:{1,2,3,5,7}:{(11,1),(12,1),(31,1),(32,1)}
       21:{1,3,4,5,7}:{(13,1),(31,1),(33,1),(34,1)}
       22:{3,4,5,6}:{(14,1),(34,1)}
       23:{1,2,4,5,7}:{(14,1),(15,1),(34,1),(35,1)}
       24:{1,2,3,5,6,7}:{(15,1),(28,1),(32,1),(35,1),(47,1),(49,1),(50,1)}
       25:{3,4,5,6,7}:{(36,1),(37,1),(50,1)}
       26:{1,3,4,5,6}:{(16,1),(22,1),(38,1)}
       27:{1,2,4,5,7}:{(16,1),(17,1),(18,1),(38,1),(39,1)}
       28:{1,2,3,6,7}:{(17,1),(39,1)}
       29:{2,3,4,6,7}:{(18,1),(39,1),(40,1),(44,1)}
       30:{2,3,4,5,6}:{(19,1),(22,1),(41,1)}
       31:{1,2,4,5,7}:{(19,1),(20,1),(21,1),(41,1),(42,1)}
       32:{1,2,3,6,7}:{(20,1),(42,1)}
       33:{1,3,4,6,7}:{(21,1),(42,1),(43,1),(44,1)}
       34:{3,4,5,7}:{(22,1),(23,1),(44,1)}
       35:{1,2,4,6,7}:{(23,1),(24,1),(44,1)}
       36:{2,4,5,6,7}:{(25,1),(40,1)}
       37:{1,4,5,6,7}:{(25,1),(43,1)}
       38:{1,3,4,5,7}:{(26,1),(27,1),(34,1),(46,1)}
       39:{1,2,4,6,7}:{(27,1),(28,1),(29,1),(46,1),(47,1)}
       40:{2,3,5,6,7}:{(29,1),(36,1),(47,1),(50,1)}
       41:{2,3,4,5,7}:{(30,1),(31,1),(34,1),(48,1)}
       42:{1,2,4,6,7}:{(31,1),(32,1),(33,1),(48,1),(49,1)}
       43:{1,3,5,6,7}:{(33,1),(37,1),(49,1),(50,1)}
       44:{3,4,6,7}:{(34,1),(35,1),(50,1)}
       45:{1,2,4,5,6,7}:{(35,1),(36,1),(37,1),(47,1),(49,1),(50,1),(54,1),(55,1)}
       46:{1,3,4,6,7}:{(38,1),(39,1),(44,1),(51,1)}
       47:{1,2,5,6,7}:{(39,1),(40,1),(51,1)}
       48:{2,3,4,6,7}:{(41,1),(42,1),(44,1),(52,1)}
       49:{1,2,5,6,7}:{(42,1),(43,1),(52,1)}
       50:{3,5,6,7}:{(44,1),(45,1)}
       51:{1,3,5,6,7}:{(46,1),(47,1),(50,1),(54,1)}
       52:{2,3,5,6,7}:{(48,1),(49,1),(50,1),(55,1)}
       53:{3,4,5,6,7}:{(50,1),(54,1),(55,1)}
       54:{1,4,5,6,7}:{(51,1),(53,1)}
       55:{2,4,5,6,7}:{(52,1),(53,1)}

2380 : 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:{3,4,5,6,7}:{(4,1)}

2381 :  0:{1,3,4,5,6,7}:{(2,1),(14,1),(19,1)}
        1:{2,3,4,5,6,7}:{(3,1),(16,1),(17,1)}
        2:{1,2,4,5,6,7}:{(0,1),(4,1),(10,1),(24,1)}
        3:{1,2,4,5,6,7}:{(1,1),(5,1),(12,1),(22,1)}
        4:{2,3,5,6,7}:{(2,1),(7,1),(29,1)}
        5:{1,3,5,6,7}:{(3,1),(9,1),(27,1)}
        6:{1,2,3,5,6,7}:{(4,1),(10,1),(21,1),(31,1)}
        7:{2,3,4,6,7}:{(4,1),(10,1),(11,1),(33,1)}
        8:{1,2,3,5,6,7}:{(5,1),(12,1),(23,1),(31,1)}
        9:{1,3,4,6,7}:{(5,1),(12,1),(13,1),(32,1)}
       10:{1,2,4,6,7}:{(6,1),(7,1),(14,1),(15,1),(34,1)}
       11:{2,3,4,5,7}:{(7,1),(15,1),(16,1)}
       12:{1,2,4,6,7}:{(8,1),(9,1),(17,1),(18,1),(34,1)}
       13:{1,3,4,5,7}:{(9,1),(18,1),(19,1)}
       14:{1,3,4,6,7}:{(10,1),(21,1),(32,1)}
       15:{1,2,4,5,7}:{(10,1),(11,1),(21,1),(22,1)}
       16:{2,3,4,5,6}:{(11,1),(22,1),(33,1)}
       17:{2,3,4,6,7}:{(12,1),(23,1),(33,1)}
       18:{1,2,4,5,7}:{(12,1),(13,1),(23,1),(24,1)}
       19:{1,3,4,5,6}:{(13,1),(24,1),(32,1)}
       20:{1,2,3,4,6,7}:{(14,1),(17,1),(25,1),(34,1)}
       21:{1,3,5,7}:{(14,1),(15,1),(27,1)}
       22:{1,2,4,5,6}:{(15,1),(16,1),(27,1),(34,1)}
       23:{2,3,5,7}:{(17,1),(18,1),(29,1)}
       24:{1,2,4,5,6}:{(18,1),(19,1),(29,1),(34,1)}
       25:{1,2,3,5,7}:{(20,1),(21,1),(23,1),(30,1),(31,1)}
       26:{1,3,4,5,7}:{(21,1),(30,1),(32,1)}
       27:{1,3,5,6}:{(21,1),(22,1),(32,1)}
       28:{2,3,4,5,7}:{(23,1),(30,1),(33,1)}
       29:{2,3,5,6}:{(23,1),(24,1),(33,1)}
       30:{1,2,4,5,7}:{(25,1),(26,1),(28,1),(34,1)}
       31:{1,2,3,5,6}:{(25,1),(27,1),(29,1),(34,1)}
       32:{1,3,4,6}:{(26,1),(27,1),(34,1)}
       33:{2,3,4,6}:{(28,1),(29,1),(34,1)}
       34:{1,2,4,6}:{(30,1),(31,1),(32,1),(33,1)}

2382 :  0:{1,3,4,5,6,7}:{(2,1),(8,1)}
        1:{2,3,4,5,6,7}:{(3,1),(7,1)}
        2:{1,2,4,5,6,7}:{(0,1),(4,1),(9,1)}
        3:{1,2,4,5,6,7}:{(1,1),(5,1),(9,1)}
        4:{2,3,5,6,7}:{(2,1),(7,1)}
        5:{1,3,5,6,7}:{(3,1),(8,1)}
        6:{1,2,3,5,6,7}:{(4,1),(5,1),(9,1),(16,1)}
        7:{2,3,4,6,7}:{(4,1),(9,1),(10,1)}
        8:{1,3,4,6,7}:{(5,1),(9,1),(11,1)}
        9:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(13,1)}
       10:{2,3,4,5,7}:{(7,1),(13,1),(14,1)}
       11:{1,3,4,5,7}:{(8,1),(13,1),(15,1)}
       12:{1,2,3,4,6,7}:{(9,1),(16,1),(20,1)}
       13:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(16,1),(17,1)}
       14:{2,3,4,5,6}:{(10,1),(17,1)}
       15:{1,3,4,5,6}:{(11,1),(17,1)}
       16:{1,2,3,5,7}:{(12,1),(13,1),(19,1)}
       17:{1,2,4,5,6}:{(13,1),(14,1),(15,1),(19,1)}
       18:{1,2,3,4,5,7}:{(16,1),(20,1)}
       19:{1,2,3,5,6}:{(16,1),(17,1),(20,1)}
       20:{1,2,3,4,6}:{(18,1),(19,1)}

2383 : 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:{3,4,5,6,7}:{(4,1)}

2384 :  0:{1,2,3,4,5,7}:{(1,1),(8,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,3,4,5,6,7}:{(6,1),(18,1)}
        3:{1,2,3,5,6}:{(1,1),(7,1),(8,1)}
        4:{1,2,3,4,6,7}:{(1,1),(8,1),(16,1)}
        5:{2,3,4,5,6}:{(7,1),(9,1)}
        6:{1,2,4,5,6,7}:{(2,1),(10,1),(16,1)}
        7:{1,2,4,5,6}:{(3,1),(5,1),(11,1),(12,1)}
        8:{1,2,3,5,7}:{(3,1),(4,1),(12,1)}
        9:{2,3,4,5,7}:{(5,1),(12,1),(14,1)}
       10:{2,3,5,6,7}:{(6,1),(14,1)}
       11:{1,3,4,5,6}:{(7,1),(15,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(15,1),(16,1)}
       13:{1,2,3,5,6,7}:{(8,1),(10,1),(16,1),(20,1)}
       14:{2,3,4,6,7}:{(9,1),(10,1),(16,1)}
       15:{1,3,4,5,7}:{(11,1),(12,1),(18,1)}
       16:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(18,1)}
       17:{2,3,4,5,6,7}:{(14,1),(19,1)}
       18:{1,3,4,6,7}:{(15,1),(16,1),(20,1)}
       19:{1,2,4,5,6,7}:{(16,1),(17,1),(20,1)}
       20:{1,3,5,6,7}:{(18,1),(19,1)}

2385 :  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}:{(6,1),(18,1)}
        3:{1,2,3,5,6}:{(1,1),(7,1),(8,1)}
        4:{1,2,3,4,6,7}:{(1,1),(8,1),(16,1)}
        5:{1,3,4,5,6}:{(7,1),(9,1)}
        6:{1,2,4,5,6,7}:{(2,1),(10,1),(16,1)}
        7:{1,2,4,5,6}:{(3,1),(5,1),(11,1),(12,1)}
        8:{1,2,3,5,7}:{(3,1),(4,1),(12,1)}
        9:{1,3,4,5,7}:{(5,1),(12,1),(14,1)}
       10:{1,3,5,6,7}:{(6,1),(14,1)}
       11:{2,3,4,5,6}:{(7,1),(15,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(15,1),(16,1)}
       13:{1,2,3,5,6,7}:{(8,1),(10,1),(16,1),(20,1)}
       14:{1,3,4,6,7}:{(9,1),(10,1),(16,1)}
       15:{2,3,4,5,7}:{(11,1),(12,1),(18,1)}
       16:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(18,1)}
       17:{1,3,4,5,6,7}:{(14,1),(19,1)}
       18:{2,3,4,6,7}:{(15,1),(16,1),(20,1)}
       19:{1,2,4,5,6,7}:{(16,1),(17,1),(20,1)}
       20:{2,3,5,6,7}:{(18,1),(19,1)}

2386 :  0:{2,3,4,5,6,7}:{(2,1),(8,1)}
        1:{1,3,4,5,6,7}:{(3,1),(7,1)}
        2:{1,2,4,5,6,7}:{(0,1),(4,1),(9,1)}
        3:{1,2,4,5,6,7}:{(1,1),(5,1),(9,1)}
        4:{1,3,5,6,7}:{(2,1),(7,1)}
        5:{2,3,5,6,7}:{(3,1),(8,1)}
        6:{1,2,3,5,6,7}:{(4,1),(5,1),(9,1),(16,1)}
        7:{1,3,4,6,7}:{(4,1),(9,1),(10,1)}
        8:{2,3,4,6,7}:{(5,1),(9,1),(11,1)}
        9:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(13,1)}
       10:{1,3,4,5,7}:{(7,1),(13,1),(14,1)}
       11:{2,3,4,5,7}:{(8,1),(13,1),(15,1)}
       12:{1,2,3,4,6,7}:{(9,1),(16,1),(20,1)}
       13:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(16,1),(17,1)}
       14:{1,3,4,5,6}:{(10,1),(17,1)}
       15:{2,3,4,5,6}:{(11,1),(17,1)}
       16:{1,2,3,5,7}:{(12,1),(13,1),(19,1)}
       17:{1,2,4,5,6}:{(13,1),(14,1),(15,1),(19,1)}
       18:{1,2,3,4,5,7}:{(16,1),(20,1)}
       19:{1,2,3,5,6}:{(16,1),(17,1),(20,1)}
       20:{1,2,3,4,6}:{(18,1),(19,1)}

2387 : 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:{3,4,5,6,7}:{(4,1)}

2388 :  0:{1,2,3,4,5,7}:{(1,1),(8,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,3,4,5,6,7}:{(6,1),(18,1)}
        3:{1,2,3,5,6}:{(1,1),(7,1),(8,1)}
        4:{1,2,3,4,6,7}:{(1,1),(8,1),(16,1)}
        5:{2,3,4,5,6}:{(7,1),(9,1)}
        6:{1,2,4,5,6,7}:{(2,1),(10,1),(16,1)}
        7:{1,2,4,5,6}:{(3,1),(5,1),(11,1),(12,1)}
        8:{1,2,3,5,7}:{(3,1),(4,1),(12,1)}
        9:{2,3,4,5,7}:{(5,1),(12,1),(14,1)}
       10:{2,3,5,6,7}:{(6,1),(14,1)}
       11:{1,3,4,5,6}:{(7,1),(15,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(15,1),(16,1)}
       13:{1,2,3,5,6,7}:{(8,1),(10,1),(16,1),(20,1)}
       14:{2,3,4,6,7}:{(9,1),(10,1),(16,1)}
       15:{1,3,4,5,7}:{(11,1),(12,1),(18,1)}
       16:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(18,1)}
       17:{2,3,4,5,6,7}:{(14,1),(19,1)}
       18:{1,3,4,6,7}:{(15,1),(16,1),(20,1)}
       19:{1,2,4,5,6,7}:{(16,1),(17,1),(20,1)}
       20:{1,3,5,6,7}:{(18,1),(19,1)}

2389 :  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}:{(6,1),(18,1)}
        3:{1,2,3,5,6}:{(1,1),(7,1),(8,1)}
        4:{1,2,3,4,6,7}:{(1,1),(8,1),(16,1)}
        5:{1,3,4,5,6}:{(7,1),(9,1)}
        6:{1,2,4,5,6,7}:{(2,1),(10,1),(16,1)}
        7:{1,2,4,5,6}:{(3,1),(5,1),(11,1),(12,1)}
        8:{1,2,3,5,7}:{(3,1),(4,1),(12,1)}
        9:{1,3,4,5,7}:{(5,1),(12,1),(14,1)}
       10:{1,3,5,6,7}:{(6,1),(14,1)}
       11:{2,3,4,5,6}:{(7,1),(15,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(15,1),(16,1)}
       13:{1,2,3,5,6,7}:{(8,1),(10,1),(16,1),(20,1)}
       14:{1,3,4,6,7}:{(9,1),(10,1),(16,1)}
       15:{2,3,4,5,7}:{(11,1),(12,1),(18,1)}
       16:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(18,1)}
       17:{1,3,4,5,6,7}:{(14,1),(19,1)}
       18:{2,3,4,6,7}:{(15,1),(16,1),(20,1)}
       19:{1,2,4,5,6,7}:{(16,1),(17,1),(20,1)}
       20:{2,3,5,6,7}:{(18,1),(19,1)}

2390 :  0:{2,3,4,5,6,7}:{(2,1),(11,1)}
        1:{1,3,4,5,6,7}:{(3,1),(9,1)}
        2:{1,2,4,5,6,7}:{(0,1),(4,1),(14,1)}
        3:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1)}
        4:{1,3,5,6,7}:{(2,1),(9,1)}
        5:{2,3,5,6,7}:{(3,1),(11,1)}
        6:{1,2,3,4,5,7}:{(12,1),(20,1)}
        7:{1,2,3,5,6,7}:{(4,1),(5,1),(14,1),(20,1)}
        8:{1,3,4,5,6}:{(13,1),(15,1)}
        9:{1,3,4,6,7}:{(4,1),(14,1),(15,1)}
       10:{2,3,4,5,6}:{(13,1),(16,1)}
       11:{2,3,4,6,7}:{(5,1),(14,1),(16,1)}
       12:{1,2,3,4,6}:{(6,1),(17,1)}
       13:{1,2,4,5,6}:{(8,1),(10,1),(17,1),(19,1)}
       14:{1,2,4,6,7}:{(7,1),(9,1),(11,1),(19,1)}
       15:{1,3,4,5,7}:{(8,1),(9,1),(19,1)}
       16:{2,3,4,5,7}:{(10,1),(11,1),(19,1)}
       17:{1,2,3,5,6}:{(12,1),(13,1),(20,1)}
       18:{1,2,3,4,6,7}:{(12,1),(14,1),(20,1)}
       19:{1,2,4,5,7}:{(13,1),(14,1),(15,1),(16,1),(20,1)}
       20:{1,2,3,5,7}:{(17,1),(18,1),(19,1)}

2391 :  0:{1,3,4,5,6,7}:{(2,1),(8,1)}
        1:{2,3,4,5,6,7}:{(3,1),(7,1)}
        2:{1,2,4,5,6,7}:{(0,1),(4,1),(9,1)}
        3:{1,2,4,5,6,7}:{(1,1),(5,1),(9,1)}
        4:{2,3,5,6,7}:{(2,1),(7,1)}
        5:{1,3,5,6,7}:{(3,1),(8,1)}
        6:{1,2,3,5,6,7}:{(4,1),(5,1),(9,1),(17,1)}
        7:{2,3,4,6,7}:{(4,1),(9,1),(10,1)}
        8:{1,3,4,6,7}:{(5,1),(9,1),(11,1)}
        9:{1,2,4,6,7}:{(6,1),(7,1),(8,1),(14,1)}
       10:{2,3,4,5,7}:{(7,1),(14,1),(15,1)}
       11:{1,3,4,5,7}:{(8,1),(14,1),(16,1)}
       12:{1,2,3,4,6,7}:{(9,1),(17,1),(18,1)}
       13:{1,2,3,4,5,7}:{(17,1),(18,1)}
       14:{1,2,4,5,7}:{(9,1),(10,1),(11,1),(17,1),(19,1)}
       15:{2,3,4,5,6}:{(10,1),(19,1)}
       16:{1,3,4,5,6}:{(11,1),(19,1)}
       17:{1,2,3,5,7}:{(12,1),(14,1),(20,1)}
       18:{1,2,3,4,6}:{(13,1),(20,1)}
       19:{1,2,4,5,6}:{(14,1),(15,1),(16,1),(20,1)}
       20:{1,2,3,5,6}:{(17,1),(18,1),(19,1)}

2392 : 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:{3,4,5,6,7}:{(4,1)}

2393 :  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}:{(6,1),(18,1)}
        3:{1,2,3,5,6}:{(1,1),(7,1),(8,1)}
        4:{1,2,3,4,6,7}:{(1,1),(8,1),(16,1)}
        5:{1,3,4,5,6}:{(7,1),(9,1)}
        6:{1,2,4,5,6,7}:{(2,1),(10,1),(16,1)}
        7:{1,2,4,5,6}:{(3,1),(5,1),(11,1),(12,1)}
        8:{1,2,3,5,7}:{(3,1),(4,1),(12,1)}
        9:{1,3,4,5,7}:{(5,1),(12,1),(14,1)}
       10:{1,3,5,6,7}:{(6,1),(14,1)}
       11:{2,3,4,5,6}:{(7,1),(15,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(15,1),(16,1)}
       13:{1,2,3,5,6,7}:{(8,1),(10,1),(16,1),(20,1)}
       14:{1,3,4,6,7}:{(9,1),(10,1),(16,1)}
       15:{2,3,4,5,7}:{(11,1),(12,1),(18,1)}
       16:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(18,1)}
       17:{1,3,4,5,6,7}:{(14,1),(19,1)}
       18:{2,3,4,6,7}:{(15,1),(16,1),(20,1)}
       19:{1,2,4,5,6,7}:{(16,1),(17,1),(20,1)}
       20:{2,3,5,6,7}:{(18,1),(19,1)}

2394 :  0:{2,3,4,5,6,7}:{(1,1),(14,1)}
        1:{1,2,4,5,6,7}:{(0,1),(3,1),(10,1)}
        2:{1,3,4,5,6,7}:{(4,1),(8,1)}
        3:{1,3,5,6,7}:{(1,1),(8,1)}
        4:{1,2,4,5,6,7}:{(2,1),(9,1),(10,1)}
        5:{1,2,3,5,6,7}:{(3,1),(9,1),(10,1),(11,1)}
        6:{1,2,3,4,6,7}:{(10,1),(11,1),(12,1)}
        7:{1,2,3,4,5,7}:{(11,1),(12,1)}
        8:{1,3,4,6,7}:{(3,1),(10,1),(13,1)}
        9:{2,3,5,6,7}:{(4,1),(14,1)}
       10:{1,2,4,6,7}:{(5,1),(8,1),(14,1),(15,1)}
       11:{1,2,3,5,7}:{(6,1),(15,1),(16,1)}
       12:{1,2,3,4,6}:{(7,1),(16,1)}
       13:{1,3,4,5,7}:{(8,1),(15,1),(17,1)}
       14:{2,3,4,6,7}:{(9,1),(10,1),(18,1)}
       15:{1,2,4,5,7}:{(10,1),(11,1),(13,1),(18,1),(19,1)}
       16:{1,2,3,5,6}:{(11,1),(12,1),(19,1)}
       17:{1,3,4,5,6}:{(13,1),(19,1)}
       18:{2,3,4,5,7}:{(14,1),(15,1),(20,1)}
       19:{1,2,4,5,6}:{(15,1),(16,1),(17,1),(20,1)}
       20:{2,3,4,5,6}:{(18,1),(19,1)}

2395 :  0:{1,2,3,4,5,7}:{(1,1),(8,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,3,4,5,6,7}:{(6,1),(18,1)}
        3:{1,2,3,5,6}:{(1,1),(7,1),(8,1)}
        4:{1,2,3,4,6,7}:{(1,1),(8,1),(16,1)}
        5:{2,3,4,5,6}:{(7,1),(9,1)}
        6:{1,2,4,5,6,7}:{(2,1),(10,1),(16,1)}
        7:{1,2,4,5,6}:{(3,1),(5,1),(11,1),(12,1)}
        8:{1,2,3,5,7}:{(3,1),(4,1),(12,1)}
        9:{2,3,4,5,7}:{(5,1),(12,1),(14,1)}
       10:{2,3,5,6,7}:{(6,1),(14,1)}
       11:{1,3,4,5,6}:{(7,1),(15,1)}
       12:{1,2,4,5,7}:{(7,1),(8,1),(9,1),(15,1),(16,1)}
       13:{1,2,3,5,6,7}:{(8,1),(10,1),(16,1),(20,1)}
       14:{2,3,4,6,7}:{(9,1),(10,1),(16,1)}
       15:{1,3,4,5,7}:{(11,1),(12,1),(18,1)}
       16:{1,2,4,6,7}:{(12,1),(13,1),(14,1),(18,1)}
       17:{2,3,4,5,6,7}:{(14,1),(19,1)}
       18:{1,3,4,6,7}:{(15,1),(16,1),(20,1)}
       19:{1,2,4,5,6,7}:{(16,1),(17,1),(20,1)}
       20:{1,3,5,6,7}:{(18,1),(19,1)}

2396 :  0:{1,3,4,5,6,7}:{(1,1),(14,1)}
        1:{1,2,4,5,6,7}:{(0,1),(3,1),(10,1)}
        2:{2,3,4,5,6,7}:{(4,1),(8,1)}
        3:{2,3,5,6,7}:{(1,1),(8,1)}
        4:{1,2,4,5,6,7}:{(2,1),(9,1),(10,1)}
        5:{1,2,3,5,6,7}:{(3,1),(9,1),(10,1),(11,1)}
        6:{1,2,3,4,6,7}:{(10,1),(11,1),(12,1)}
        7:{1,2,3,4,5,7}:{(11,1),(12,1)}
        8:{2,3,4,6,7}:{(3,1),(10,1),(13,1)}
        9:{1,3,5,6,7}:{(4,1),(14,1)}
       10:{1,2,4,6,7}:{(5,1),(8,1),(14,1),(15,1)}
       11:{1,2,3,5,7}:{(6,1),(15,1),(16,1)}
       12:{1,2,3,4,6}:{(7,1),(16,1)}
       13:{2,3,4,5,7}:{(8,1),(15,1),(17,1)}
       14:{1,3,4,6,7}:{(9,1),(10,1),(18,1)}
       15:{1,2,4,5,7}:{(10,1),(11,1),(13,1),(18,1),(19,1)}
       16:{1,2,3,5,6}:{(11,1),(12,1),(19,1)}
       17:{2,3,4,5,6}:{(13,1),(19,1)}
       18:{1,3,4,5,7}:{(14,1),(15,1),(20,1)}
       19:{1,2,4,5,6}:{(15,1),(16,1),(17,1),(20,1)}
       20:{1,3,4,5,6}:{(18,1),(19,1)}

2397 :  0:{1,2,3,4,5,7}:{(1,1),(11,1)}
        1:{1,2,3,4,6}:{(0,1),(4,1)}
        2:{1,3,4,5,6,7}:{(7,1),(19,1)}
        3:{2,3,4,5,6,7}:{(9,1),(18,1)}
        4:{1,2,3,5,6}:{(1,1),(10,1),(11,1)}
        5:{1,2,3,4,6,7}:{(1,1),(11,1),(20,1)}
        6:{2,3,4,5,6}:{(10,1),(12,1)}
        7:{1,2,4,5,6,7}:{(2,1),(13,1),(20,1)}
        8:{1,3,4,5,6}:{(10,1),(14,1)}
        9:{1,2,4,5,6,7}:{(3,1),(15,1),(20,1)}
       10:{1,2,4,5,6}:{(4,1),(6,1),(8,1),(16,1)}
       11:{1,2,3,5,7}:{(4,1),(5,1),(16,1)}
       12:{2,3,4,5,7}:{(6,1),(16,1),(18,1)}
       13:{2,3,5,6,7}:{(7,1),(18,1)}
       14:{1,3,4,5,7}:{(8,1),(16,1),(19,1)}
       15:{1,3,5,6,7}:{(9,1),(19,1)}
       16:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(14,1),(20,1)}
       17:{1,2,3,5,6,7}:{(11,1),(13,1),(15,1),(20,1)}
       18:{2,3,4,6,7}:{(12,1),(13,1),(20,1)}
       19:{1,3,4,6,7}:{(14,1),(15,1),(20,1)}
       20:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(19,1)}

2398 :  0:{1,3,4,5,6,7}:{(2,1),(11,1)}
        1:{2,3,4,5,6,7}:{(3,1),(9,1)}
        2:{1,2,4,5,6,7}:{(0,1),(4,1),(14,1)}
        3:{1,2,4,5,6,7}:{(1,1),(5,1),(14,1)}
        4:{2,3,5,6,7}:{(2,1),(9,1)}
        5:{1,3,5,6,7}:{(3,1),(11,1)}
        6:{1,2,3,4,5,7}:{(12,1),(20,1)}
        7:{1,2,3,5,6,7}:{(4,1),(5,1),(14,1),(20,1)}
        8:{2,3,4,5,6}:{(13,1),(15,1)}
        9:{2,3,4,6,7}:{(4,1),(14,1),(15,1)}
       10:{1,3,4,5,6}:{(13,1),(16,1)}
       11:{1,3,4,6,7}:{(5,1),(14,1),(16,1)}
       12:{1,2,3,4,6}:{(6,1),(17,1)}
       13:{1,2,4,5,6}:{(8,1),(10,1),(17,1),(19,1)}
       14:{1,2,4,6,7}:{(7,1),(9,1),(11,1),(19,1)}
       15:{2,3,4,5,7}:{(8,1),(9,1),(19,1)}
       16:{1,3,4,5,7}:{(10,1),(11,1),(19,1)}
       17:{1,2,3,5,6}:{(12,1),(13,1),(20,1)}
       18:{1,2,3,4,6,7}:{(12,1),(14,1),(20,1)}
       19:{1,2,4,5,7}:{(13,1),(14,1),(15,1),(16,1),(20,1)}
       20:{1,2,3,5,7}:{(17,1),(18,1),(19,1)}

2399 :  0:{2,3,4,5,6,7}:{(2,1),(10,1)}
        1:{1,3,4,5,6,7}:{(3,1),(9,1)}
        2:{1,2,4,5,6,7}:{(0,1),(4,1),(11,1)}
        3:{1,2,4,5,6,7}:{(1,1),(5,1),(11,1)}
        4:{1,3,5,6,7}:{(2,1),(9,1)}
        5:{2,3,5,6,7}:{(3,1),(10,1)}
        6:{1,2,3,5,6,7}:{(4,1),(5,1),(11,1),(12,1)}
        7:{1,2,3,4,6,7}:{(11,1),(12,1),(13,1)}
        8:{1,2,3,4,5,7}:{(12,1),(13,1)}
        9:{1,3,4,6,7}:{(4,1),(11,1),(14,1)}
       10:{2,3,4,6,7}:{(5,1),(11,1),(15,1)}
       11:{1,2,4,6,7}:{(6,1),(9,1),(10,1),(16,1)}
       12:{1,2,3,5,7}:{(7,1),(16,1),(17,1)}
       13:{1,2,3,4,6}:{(8,1),(17,1)}
       14:{1,3,4,5,7}:{(9,1),(16,1),(18,1)}
       15:{2,3,4,5,7}:{(10,1),(16,1),(19,1)}
       16:{1,2,4,5,7}:{(11,1),(12,1),(14,1),(15,1),(20,1)}
       17:{1,2,3,5,6}:{(12,1),(13,1),(20,1)}
       18:{1,3,4,5,6}:{(14,1),(20,1)}
       19:{2,3,4,5,6}:{(15,1),(20,1)}
       20:{1,2,4,5,6}:{(16,1),(17,1),(18,1),(19,1)}

2400 : 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:{3,4,5,6,7}:{(4,1)}

2401 :  0:{1,2,3,4,5,7}:{(1,1),(9,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{2,3,4,5,6,7}:{(6,1),(20,1)}
        3:{1,2,3,5,6}:{(1,1),(8,1),(9,1)}
        4:{1,2,3,4,6,7}:{(1,1),(9,1),(19,1)}
        5:{1,3,4,5,6}:{(8,1),(10,1)}
        6:{1,2,4,5,6,7}:{(2,1),(11,1),(19,1)}
        7:{1,3,4,5,6,7}:{(13,1),(16,1)}
        8:{1,2,4,5,6}:{(3,1),(5,1),(12,1),(14,1)}
        9:{1,2,3,5,7}:{(3,1),(4,1),(14,1)}
       10:{1,3,4,5,7}:{(5,1),(14,1),(16,1)}
       11:{1,3,5,6,7}:{(6,1),(16,1)}
       12:{2,3,4,5,6}:{(8,1),(17,1)}
       13:{1,2,4,5,6,7}:{(7,1),(18,1),(19,1)}
       14:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(17,1),(19,1)}
       15:{1,2,3,5,6,7}:{(9,1),(11,1),(18,1),(19,1)}
       16:{1,3,4,6,7}:{(10,1),(11,1),(19,1)}
       17:{2,3,4,5,7}:{(12,1),(14,1),(20,1)}
       18:{2,3,5,6,7}:{(13,1),(20,1)}
       19:{1,2,4,6,7}:{(14,1),(15,1),(16,1),(20,1)}
       20:{2,3,4,6,7}:{(17,1),(18,1),(19,1)}

2402 :  0:{2,3,4,5,6,7}:{(2,1),(18,1)}
        1:{1,2,3,4,5,7}:{(4,1),(15,1)}
        2:{1,2,4,5,6,7}:{(0,1),(5,1),(14,1)}
        3:{1,3,4,5,6,7}:{(6,1),(11,1)}
        4:{1,2,3,4,6}:{(1,1),(8,1)}
        5:{1,3,5,6,7}:{(2,1),(11,1)}
        6:{1,2,4,5,6,7}:{(3,1),(12,1),(14,1)}
        7:{1,2,3,5,6,7}:{(5,1),(12,1),(14,1),(15,1)}
        8:{1,2,3,5,6}:{(4,1),(13,1),(15,1)}
        9:{1,2,3,4,6,7}:{(4,1),(14,1),(15,1)}
       10:{1,3,4,5,6}:{(13,1),(16,1)}
       11:{1,3,4,6,7}:{(5,1),(14,1),(16,1)}
       12:{2,3,5,6,7}:{(6,1),(18,1)}
       13:{1,2,4,5,6}:{(8,1),(10,1),(17,1),(19,1)}
       14:{1,2,4,6,7}:{(7,1),(11,1),(18,1),(19,1)}
       15:{1,2,3,5,7}:{(8,1),(9,1),(19,1)}
       16:{1,3,4,5,7}:{(10,1),(11,1),(19,1)}
       17:{2,3,4,5,6}:{(13,1),(20,1)}
       18:{2,3,4,6,7}:{(12,1),(14,1),(20,1)}
       19:{1,2,4,5,7}:{(13,1),(14,1),(15,1),(16,1),(20,1)}
       20:{2,3,4,5,7}:{(17,1),(18,1),(19,1)}

2403 :  0:{1,2,3,4,5,7}:{(1,1),(9,1)}
        1:{1,2,3,4,6}:{(0,1),(3,1)}
        2:{1,3,4,5,6,7}:{(6,1),(20,1)}
        3:{1,2,3,5,6}:{(1,1),(8,1),(9,1)}
        4:{1,2,3,4,6,7}:{(1,1),(9,1),(19,1)}
        5:{2,3,4,5,6}:{(8,1),(10,1)}
        6:{1,2,4,5,6,7}:{(2,1),(11,1),(19,1)}
        7:{2,3,4,5,6,7}:{(13,1),(16,1)}
        8:{1,2,4,5,6}:{(3,1),(5,1),(12,1),(14,1)}
        9:{1,2,3,5,7}:{(3,1),(4,1),(14,1)}
       10:{2,3,4,5,7}:{(5,1),(14,1),(16,1)}
       11:{2,3,5,6,7}:{(6,1),(16,1)}
       12:{1,3,4,5,6}:{(8,1),(17,1)}
       13:{1,2,4,5,6,7}:{(7,1),(18,1),(19,1)}
       14:{1,2,4,5,7}:{(8,1),(9,1),(10,1),(17,1),(19,1)}
       15:{1,2,3,5,6,7}:{(9,1),(11,1),(18,1),(19,1)}
       16:{2,3,4,6,7}:{(10,1),(11,1),(19,1)}
       17:{1,3,4,5,7}:{(12,1),(14,1),(20,1)}
       18:{1,3,5,6,7}:{(13,1),(20,1)}
       19:{1,2,4,6,7}:{(14,1),(15,1),(16,1),(20,1)}
       20:{1,3,4,6,7}:{(17,1),(18,1),(19,1)}

2404 :  0:{1,3,4,5,6,7}:{(2,1),(18,1)}
        1:{1,2,3,4,5,7}:{(4,1),(15,1)}
        2:{1,2,4,5,6,7}:{(0,1),(5,1),(14,1)}
        3:{2,3,4,5,6,7}:{(6,1),(11,1)}
        4:{1,2,3,4,6}:{(1,1),(8,1)}
        5:{2,3,5,6,7}:{(2,1),(11,1)}
        6:{1,2,4,5,6,7}:{(3,1),(12,1),(14,1)}
        7:{1,2,3,5,6,7}:{(5,1),(12,1),(14,1),(15,1)}
        8:{1,2,3,5,6}:{(4,1),(13,1),(15,1)}
        9:{1,2,3,4,6,7}:{(4,1),(14,1),(15,1)}
       10:{2,3,4,5,6}:{(13,1),(16,1)}
       11:{2,3,4,6,7}:{(5,1),(14,1),(16,1)}
       12:{1,3,5,6,7}:{(6,1),(18,1)}
       13:{1,2,4,5,6}:{(8,1),(10,1),(17,1),(19,1)}
       14:{1,2,4,6,7}:{(7,1),(11,1),(18,1),(19,1)}
       15:{1,2,3,5,7}:{(8,1),(9,1),(19,1)}
       16:{2,3,4,5,7}:{(10,1),(11,1),(19,1)}
       17:{1,3,4,5,6}:{(13,1),(20,1)}
       18:{1,3,4,6,7}:{(12,1),(14,1),(20,1)}
       19:{1,2,4,5,7}:{(13,1),(14,1),(15,1),(16,1),(20,1)}
       20:{1,3,4,5,7}:{(17,1),(18,1),(19,1)}

2405 :  0:{1,2,3,4,5,7}:{(1,1),(11,1)}
        1:{1,2,3,4,6}:{(0,1),(4,1)}
        2:{2,3,4,5,6,7}:{(7,1),(19,1)}
        3:{1,3,4,5,6,7}:{(9,1),(18,1)}
        4:{1,2,3,5,6}:{(1,1),(10,1),(11,1)}
        5:{1,2,3,4,6,7}:{(1,1),(11,1),(20,1)}
        6:{1,3,4,5,6}:{(10,1),(12,1)}
        7:{1,2,4,5,6,7}:{(2,1),(13,1),(20,1)}
        8:{2,3,4,5,6}:{(10,1),(14,1)}
        9:{1,2,4,5,6,7}:{(3,1),(15,1),(20,1)}
       10:{1,2,4,5,6}:{(4,1),(6,1),(8,1),(16,1)}
       11:{1,2,3,5,7}:{(4,1),(5,1),(16,1)}
       12:{1,3,4,5,7}:{(6,1),(16,1),(18,1)}
       13:{1,3,5,6,7}:{(7,1),(18,1)}
       14:{2,3,4,5,7}:{(8,1),(16,1),(19,1)}
       15:{2,3,5,6,7}:{(9,1),(19,1)}
       16:{1,2,4,5,7}:{(10,1),(11,1),(12,1),(14,1),(20,1)}
       17:{1,2,3,5,6,7}:{(11,1),(13,1),(15,1),(20,1)}
       18:{1,3,4,6,7}:{(12,1),(13,1),(20,1)}
       19:{2,3,4,6,7}:{(14,1),(15,1),(20,1)}
       20:{1,2,4,6,7}:{(16,1),(17,1),(18,1),(19,1)}

2406 :  0:{2,3,4,5,6,7}:{(3,1),(14,1)}
        1:{1,3,4,5,6,7}:{(4,1),(12,1)}
        2:{1,2,3,4,5,7}:{(5,1),(17,1)}
        3:{1,2,4,5,6,7}:{(0,1),(6,1),(16,1)}
        4:{1,2,4,5,6,7}:{(1,1),(7,1),(16,1)}
        5:{1,2,3,4,6}:{(2,1),(9,1)}
        6:{1,3,5,6,7}:{(3,1),(12,1)}
        7:{2,3,5,6,7}:{(4,1),(14,1)}
        8:{1,2,3,5,6,7}:{(6,1),(7,1),(16,1),(17,1)}
        9:{1,2,3,5,6}:{(5,1),(15,1),(17,1)}
       10:{1,2,3,4,6,7}:{(5,1),(16,1),(17,1)}
       11:{1,3,4,5,6}:{(15,1),(18,1)}
       12:{1,3,4,6,7}:{(6,1),(16,1),(18,1)}
       13:{2,3,4,5,6}:{(15,1),(19,1)}
       14:{2,3,4,6,7}:{(7,1),(16,1),(19,1)}
       15:{1,2,4,5,6}:{(9,1),(11,1),(13,1),(20,1)}
       16:{1,2,4,6,7}:{(8,1),(12,1),(14,1),(20,1)}
       17:{1,2,3,5,7}:{(9,1),(10,1),(20,1)}
       18:{1,3,4,5,7}:{(11,1),(12,1),(20,1)}
       19:{2,3,4,5,7}:{(13,1),(14,1),(20,1)}
       20:{1,2,4,5,7}:{(15,1),(16,1),(17,1),(18,1),(19,1)}

2407 : 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:{3,4,5,6,7}:{(4,1)}

2408 : 0:{1,3,4,5,6,7}:{(2,1)}
       1:{2,3,4,5,6,7}:{(2,1)}
       2:{1,2,4,5,6,7}:{(0,1),(1,1),(3,1)}
       3:{1,2,3,5,6,7}:{(2,1),(4,1)}
       4:{1,2,3,4,6,7}:{(3,1),(5,1)}
       5:{1,2,3,4,5,7}:{(4,1),(6,1)}
       6:{1,2,3,4,5,6}:{(5,1)}

2409 : 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:{1,3,4,5,6,7}:{(5,1)}
       5:{1,2,4,5,6,7}:{(3,1),(4,1),(6,1)}
       6:{2,3,4,5,6,7}:{(5,1)}

2410 : 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:{2,3,4,5,6,7}:{(5,1)}
       5:{1,2,4,5,6,7}:{(3,1),(4,1),(6,1)}
       6:{1,3,4,5,6,7}:{(5,1)}

2411 : 0:{2,3,4,5,6,7}:{(2,1)}
       1:{1,3,4,5,6,7}:{(2,1)}
       2:{1,2,4,5,6,7}:{(0,1),(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:{1,2,3,4,6,7}:{(3,1),(6,1)}
       6:{1,2,3,4,5,7}:{(4,1),(5,1)}

2412 : 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),(6,1)}
       4:{1,3,4,5,6,7}:{(6,1)}
       5:{2,3,4,5,6,7}:{(6,1)}
       6:{1,2,4,5,6,7}:{(3,1),(4,1),(5,1)}

2413 : 0:{1,3,4,5,6,7}:{(3,1)}
       1:{2,3,4,5,6,7}:{(3,1)}
       2:{1,2,3,4,5,6}:{(4,1)}
       3:{1,2,4,5,6,7}:{(0,1),(1,1),(5,1)}
       4:{1,2,3,4,5,7}:{(2,1),(6,1)}
       5:{1,2,3,5,6,7}:{(3,1),(6,1)}
       6:{1,2,3,4,6,7}:{(4,1),(5,1)}

2414 : 0:{1,2,3,4,5,6}:{(1,1)}
       1:{1,2,3,4,5,7}:{(0,1),(4,1)}
       2:{2,3,4,5,6,7}:{(5,1)}
       3:{1,3,4,5,6,7}:{(5,1)}
       4:{1,2,3,4,6,7}:{(1,1),(6,1)}
       5:{1,2,4,5,6,7}:{(2,1),(3,1),(6,1)}
       6:{1,2,3,5,6,7}:{(4,1),(5,1)}

2415 : 0:{1,2,3,4,5,6,7}:{}